Table of contents 目次

  1. Repunit レピュニット
    1. Definition of repunit レピュニットの定義
    2. Factorization of repunit レピュニットの因数分解
    3. List of repunit レピュニットの一覧
    4. Links related to repunit レピュニットの関連リンク
  2. Möbius function メビウス関数
    1. Definition of Möbius function メビウス関数の定義
    2. List of Möbius function メビウス関数の一覧
    3. Links related to Möbius function メビウス関数の関連リンク
  3. Euler's totient function オイラーのトーシェント関数
    1. Definition of Euler's totient function オイラーのトーシェント関数の定義
    2. Calculation of Euler's totient function オイラーのトーシェント関数の計算
    3. List of Euler's totient function オイラーのトーシェント関数の一覧
    4. Links related to Euler's totient function オイラーのトーシェント関数の関連リンク
  4. Radical function ラジカル関数
    1. Definition of radical function ラジカル関数の定義
    2. Calculation of radical function ラジカル関数の計算
    3. List of radical function ラジカル関数の一覧
    4. Links related to radical function ラジカル関数の関連リンク
  5. Cyclotomic polynomial 円分多項式
    1. Definition of cyclotomic polynomial 円分多項式の定義
    2. Calculation of cyclotomic polynomials 円分多項式の計算
    3. List of cyclotomic polynomials 円分多項式の一覧
    4. Links related to cyclotomic polynomials 円分多項式の関連リンク
  6. Aurifeuillean factorization of cyclotomic numbers 円分数のオーラフィーユ因数分解
    1. List of Aurifeuillean factorization of cyclotomic numbers 円分数のオーラフィーユ因数分解の一覧
    2. LM twister LM ツイスター
    3. Aurifeuillean factorization of repunit レピュニットのオーラフィーユ因数分解
    4. Links related to Aurifeuillean factorization オーラフィーユ因数分解の関連リンク

1. Repunit レピュニット

1.1. Definition of repunit レピュニットの定義

Rn=10n−110−1(base-10-repunit)Mn(x)=xn−1x−1(base-x-repunit)

1.2. Factorization of repunit レピュニットの因数分解

Mn(x)=xn−1x−1=∏d∣n;1<dΦd(x)xn+1=x2n−1xn−1=∏d∣2n;d∤nΦd(x)

1.3. List of repunit レピュニットの一覧

See Factorization of 11...11 (Repunit). 11...11 (レピュニット) の素因数分解 を参照。

1.4. Links related to repunit レピュニットの関連リンク

2. Möbius function メビウス関数

2.1. Definition of Möbius function メビウス関数の定義

μ(n)=0if n has one or more repeated prime factors (squareful)μ(n)=1if n is 1μ(n)=(−1)kif n is a product of k distinct prime numbers (squarefree)

2.2. List of Möbius function メビウス関数の一覧

μ(1)⋯μ(20)μ(1)⋯μ(20)
μ(1)=1μ(2)=−12μ(3)=−13μ(4)=022μ(5)=−15μ(6)=12⋅3μ(7)=−17μ(8)=023μ(9)=032μ(10)=12⋅5μ(11)=−111μ(12)=022⋅3μ(13)=−113μ(14)=12⋅7μ(15)=13⋅5μ(16)=024μ(17)=−117μ(18)=02⋅32μ(19)=−119μ(20)=022⋅5
μ(21)⋯μ(40)μ(21)⋯μ(40)
%%\begin{eqnarray}\mu(21)|=|1|\hspace{2em}|3\cdot 7\\\mu(22)|=|1||2\cdot 11\\\mu(23)|=|-1||23\\\mu(24)|=|0||2^3\cdot 3\\\mu(25)|=|0||5^2\\\mu(26)|=|1||2\cdot 13\\\mu(27)|=|0||3^3\\\mu(28)|=|0||2^2\cdot 7\\\mu(29)|=|-1||29\\\mu(30)|=|-1||2\cdot 3\cdot 5\\\mu(31)|=|-1||31\\\mu(32)|=|0||2^5\\\mu(33)|=|1||3\cdot 11\\\mu(34)|=|1||2\cdot 17\\\mu(35)|=|1||5\cdot 7\\\mu(36)|=|0||2^2\cdot 3^2\\\mu(37)|=|-1||37\\\mu(38)|=|1||2\cdot 19\\\mu(39)|=|1||3\cdot 13\\\mu(40)|=|0||2^3\cdot 5\end{eqnarray}%%
μ(41)⋯μ(60)μ(41)⋯μ(60)
%%\begin{eqnarray}\mu(41)|=|-1|\hspace{2em}|41\\\mu(42)|=|-1||2\cdot 3\cdot 7\\\mu(43)|=|-1||43\\\mu(44)|=|0||2^2\cdot 11\\\mu(45)|=|0||3^2\cdot 5\\\mu(46)|=|1||2\cdot 23\\\mu(47)|=|-1||47\\\mu(48)|=|0||2^4\cdot 3\\\mu(49)|=|0||7^2\\\mu(50)|=|0||2\cdot 5^2\\\mu(51)|=|1||3\cdot 17\\\mu(52)|=|0||2^2\cdot 13\\\mu(53)|=|-1||53\\\mu(54)|=|0||2\cdot 3^3\\\mu(55)|=|1||5\cdot 11\\\mu(56)|=|0||2^3\cdot 7\\\mu(57)|=|1||3\cdot 19\\\mu(58)|=|1||2\cdot 29\\\mu(59)|=|-1||59\\\mu(60)|=|0||2^2\cdot 3\cdot 5\end{eqnarray}%%
μ(61)⋯μ(80)μ(61)⋯μ(80)
%%\begin{eqnarray}\mu(61)|=|-1|\hspace{2em}|61\\\mu(62)|=|1||2\cdot 31\\\mu(63)|=|0||3^2\cdot 7\\\mu(64)|=|0||2^6\\\mu(65)|=|1||5\cdot 13\\\mu(66)|=|-1||2\cdot 3\cdot 11\\\mu(67)|=|-1||67\\\mu(68)|=|0||2^2\cdot 17\\\mu(69)|=|1||3\cdot 23\\\mu(70)|=|-1||2\cdot 5\cdot 7\\\mu(71)|=|-1||71\\\mu(72)|=|0||2^3\cdot 3^2\\\mu(73)|=|-1||73\\\mu(74)|=|1||2\cdot 37\\\mu(75)|=|0||3\cdot 5^2\\\mu(76)|=|0||2^2\cdot 19\\\mu(77)|=|1||7\cdot 11\\\mu(78)|=|-1||2\cdot 3\cdot 13\\\mu(79)|=|-1||79\\\mu(80)|=|0||2^4\cdot 5\end{eqnarray}%%
μ(81)⋯μ(100)μ(81)⋯μ(100)
%%\begin{eqnarray}\mu(81)|=|0|\hspace{2em}|3^4\\\mu(82)|=|1||2\cdot 41\\\mu(83)|=|-1||83\\\mu(84)|=|0||2^2\cdot 3\cdot 7\\\mu(85)|=|1||5\cdot 17\\\mu(86)|=|1||2\cdot 43\\\mu(87)|=|1||3\cdot 29\\\mu(88)|=|0||2^3\cdot 11\\\mu(89)|=|-1||89\\\mu(90)|=|0||2\cdot 3^2\cdot 5\\\mu(91)|=|1||7\cdot 13\\\mu(92)|=|0||2^2\cdot 23\\\mu(93)|=|1||3\cdot 31\\\mu(94)|=|1||2\cdot 47\\\mu(95)|=|1||5\cdot 19\\\mu(96)|=|0||2^5\cdot 3\\\mu(97)|=|-1||97\\\mu(98)|=|0||2\cdot 7^2\\\mu(99)|=|0||3^2\cdot 11\\\mu(100)|=|0||2^2\cdot 5^2\end{eqnarray}%%
μ(101)⋯μ(120)μ(101)⋯μ(120)
%%\begin{eqnarray}\mu(101)|=|-1|\hspace{2em}|101\\\mu(102)|=|-1||2\cdot 3\cdot 17\\\mu(103)|=|-1||103\\\mu(104)|=|0||2^3\cdot 13\\\mu(105)|=|-1||3\cdot 5\cdot 7\\\mu(106)|=|1||2\cdot 53\\\mu(107)|=|-1||107\\\mu(108)|=|0||2^2\cdot 3^3\\\mu(109)|=|-1||109\\\mu(110)|=|-1||2\cdot 5\cdot 11\\\mu(111)|=|1||3\cdot 37\\\mu(112)|=|0||2^4\cdot 7\\\mu(113)|=|-1||113\\\mu(114)|=|-1||2\cdot 3\cdot 19\\\mu(115)|=|1||5\cdot 23\\\mu(116)|=|0||2^2\cdot 29\\\mu(117)|=|0||3^2\cdot 13\\\mu(118)|=|1||2\cdot 59\\\mu(119)|=|1||7\cdot 17\\\mu(120)|=|0||2^3\cdot 3\cdot 5\end{eqnarray}%%
μ(121)⋯μ(140)μ(121)⋯μ(140)
%%\begin{eqnarray}\mu(121)|=|0|\hspace{2em}|11^2\\\mu(122)|=|1||2\cdot 61\\\mu(123)|=|1||3\cdot 41\\\mu(124)|=|0||2^2\cdot 31\\\mu(125)|=|0||5^3\\\mu(126)|=|0||2\cdot 3^2\cdot 7\\\mu(127)|=|-1||127\\\mu(128)|=|0||2^7\\\mu(129)|=|1||3\cdot 43\\\mu(130)|=|-1||2\cdot 5\cdot 13\\\mu(131)|=|-1||131\\\mu(132)|=|0||2^2\cdot 3\cdot 11\\\mu(133)|=|1||7\cdot 19\\\mu(134)|=|1||2\cdot 67\\\mu(135)|=|0||3^3\cdot 5\\\mu(136)|=|0||2^3\cdot 17\\\mu(137)|=|-1||137\\\mu(138)|=|-1||2\cdot 3\cdot 23\\\mu(139)|=|-1||139\\\mu(140)|=|0||2^2\cdot 5\cdot 7\end{eqnarray}%%
μ(141)⋯μ(160)μ(141)⋯μ(160)
%%\begin{eqnarray}\mu(141)|=|1|\hspace{2em}|3\cdot 47\\\mu(142)|=|1||2\cdot 71\\\mu(143)|=|1||11\cdot 13\\\mu(144)|=|0||2^4\cdot 3^2\\\mu(145)|=|1||5\cdot 29\\\mu(146)|=|1||2\cdot 73\\\mu(147)|=|0||3\cdot 7^2\\\mu(148)|=|0||2^2\cdot 37\\\mu(149)|=|-1||149\\\mu(150)|=|0||2\cdot 3\cdot 5^2\\\mu(151)|=|-1||151\\\mu(152)|=|0||2^3\cdot 19\\\mu(153)|=|0||3^2\cdot 17\\\mu(154)|=|-1||2\cdot 7\cdot 11\\\mu(155)|=|1||5\cdot 31\\\mu(156)|=|0||2^2\cdot 3\cdot 13\\\mu(157)|=|-1||157\\\mu(158)|=|1||2\cdot 79\\\mu(159)|=|1||3\cdot 53\\\mu(160)|=|0||2^5\cdot 5\end{eqnarray}%%
μ(161)⋯μ(180)μ(161)⋯μ(180)
%%\begin{eqnarray}\mu(161)|=|1|\hspace{2em}|7\cdot 23\\\mu(162)|=|0||2\cdot 3^4\\\mu(163)|=|-1||163\\\mu(164)|=|0||2^2\cdot 41\\\mu(165)|=|-1||3\cdot 5\cdot 11\\\mu(166)|=|1||2\cdot 83\\\mu(167)|=|-1||167\\\mu(168)|=|0||2^3\cdot 3\cdot 7\\\mu(169)|=|0||13^2\\\mu(170)|=|-1||2\cdot 5\cdot 17\\\mu(171)|=|0||3^2\cdot 19\\\mu(172)|=|0||2^2\cdot 43\\\mu(173)|=|-1||173\\\mu(174)|=|-1||2\cdot 3\cdot 29\\\mu(175)|=|0||5^2\cdot 7\\\mu(176)|=|0||2^4\cdot 11\\\mu(177)|=|1||3\cdot 59\\\mu(178)|=|1||2\cdot 89\\\mu(179)|=|-1||179\\\mu(180)|=|0||2^2\cdot 3^2\cdot 5\end{eqnarray}%%
μ(181)⋯μ(200)μ(181)⋯μ(200)
%%\begin{eqnarray}\mu(181)|=|-1|\hspace{2em}|181\\\mu(182)|=|-1||2\cdot 7\cdot 13\\\mu(183)|=|1||3\cdot 61\\\mu(184)|=|0||2^3\cdot 23\\\mu(185)|=|1||5\cdot 37\\\mu(186)|=|-1||2\cdot 3\cdot 31\\\mu(187)|=|1||11\cdot 17\\\mu(188)|=|0||2^2\cdot 47\\\mu(189)|=|0||3^3\cdot 7\\\mu(190)|=|-1||2\cdot 5\cdot 19\\\mu(191)|=|-1||191\\\mu(192)|=|0||2^6\cdot 3\\\mu(193)|=|-1||193\\\mu(194)|=|1||2\cdot 97\\\mu(195)|=|-1||3\cdot 5\cdot 13\\\mu(196)|=|0||2^2\cdot 7^2\\\mu(197)|=|-1||197\\\mu(198)|=|0||2\cdot 3^2\cdot 11\\\mu(199)|=|-1||199\\\mu(200)|=|0||2^3\cdot 5^2\end{eqnarray}%%

2.3. Links related to Möbius function メビウス関数の関連リンク

3. Euler's totient function オイラーのトーシェント関数

トーシェント is also written as トーティエント. トーシェントはトーティエントとも書く。

3.1. Definition of Euler's totient function オイラーのトーシェント関数の定義

Euler's totient function ϕ(n) is the number of positive integers that are less than or equal to the positive integer n and that are relatively prime to n. オイラーのトーシェント関数 ϕ(n) は正の整数 n 以下で n と互いに素である正の整数の個数です。

3.2. Calculation of Euler's totient function オイラーのトーシェント関数の計算

n=∏pieiϕ(n)=∏(pi−1)piei−1

3.3. List of Euler's totient function オイラーのトーシェント関数の一覧

ϕ(1)⋯ϕ(20)ϕ(1)⋯ϕ(20)
ϕ(1)=1ϕ(2)=1(2−1)21−1ϕ(3)=2(3−1)31−1ϕ(4)=2(2−1)22−1ϕ(5)=4(5−1)51−1ϕ(6)=2(2−1)21−1⋅(3−1)31−1ϕ(7)=6(7−1)71−1ϕ(8)=4(2−1)23−1ϕ(9)=6(3−1)32−1ϕ(10)=4(2−1)21−1⋅(5−1)51−1ϕ(11)=10(11−1)111−1ϕ(12)=4(2−1)22−1⋅(3−1)31−1ϕ(13)=12(13−1)131−1ϕ(14)=6(2−1)21−1⋅(7−1)71−1ϕ(15)=8(3−1)31−1⋅(5−1)51−1ϕ(16)=8(2−1)24−1ϕ(17)=16(17−1)171−1ϕ(18)=6(2−1)21−1⋅(3−1)32−1ϕ(19)=18(19−1)191−1ϕ(20)=8(2−1)22−1⋅(5−1)51−1
ϕ(21)⋯ϕ(40)ϕ(21)⋯ϕ(40)
%%\begin{eqnarray}\phi(21)|=|12|\hspace{2em}|(3-1)3^{1-1} \cdot (7-1)7^{1-1}\\\phi(22)|=|10||(2-1)2^{1-1} \cdot (11-1)11^{1-1}\\\phi(23)|=|22||(23-1)23^{1-1}\\\phi(24)|=|8||(2-1)2^{3-1} \cdot (3-1)3^{1-1}\\\phi(25)|=|20||(5-1)5^{2-1}\\\phi(26)|=|12||(2-1)2^{1-1} \cdot (13-1)13^{1-1}\\\phi(27)|=|18||(3-1)3^{3-1}\\\phi(28)|=|12||(2-1)2^{2-1} \cdot (7-1)7^{1-1}\\\phi(29)|=|28||(29-1)29^{1-1}\\\phi(30)|=|8||(2-1)2^{1-1} \cdot (3-1)3^{1-1} \cdot (5-1)5^{1-1}\\\phi(31)|=|30||(31-1)31^{1-1}\\\phi(32)|=|16||(2-1)2^{5-1}\\\phi(33)|=|20||(3-1)3^{1-1} \cdot (11-1)11^{1-1}\\\phi(34)|=|16||(2-1)2^{1-1} \cdot (17-1)17^{1-1}\\\phi(35)|=|24||(5-1)5^{1-1} \cdot (7-1)7^{1-1}\\\phi(36)|=|12||(2-1)2^{2-1} \cdot (3-1)3^{2-1}\\\phi(37)|=|36||(37-1)37^{1-1}\\\phi(38)|=|18||(2-1)2^{1-1} \cdot (19-1)19^{1-1}\\\phi(39)|=|24||(3-1)3^{1-1} \cdot (13-1)13^{1-1}\\\phi(40)|=|16||(2-1)2^{3-1} \cdot (5-1)5^{1-1}\end{eqnarray}%%
ϕ(41)⋯ϕ(60)ϕ(41)⋯ϕ(60)
%%\begin{eqnarray}\phi(41)|=|40|\hspace{2em}|(41-1)41^{1-1}\\\phi(42)|=|12||(2-1)2^{1-1} \cdot (3-1)3^{1-1} \cdot (7-1)7^{1-1}\\\phi(43)|=|42||(43-1)43^{1-1}\\\phi(44)|=|20||(2-1)2^{2-1} \cdot (11-1)11^{1-1}\\\phi(45)|=|24||(3-1)3^{2-1} \cdot (5-1)5^{1-1}\\\phi(46)|=|22||(2-1)2^{1-1} \cdot (23-1)23^{1-1}\\\phi(47)|=|46||(47-1)47^{1-1}\\\phi(48)|=|16||(2-1)2^{4-1} \cdot (3-1)3^{1-1}\\\phi(49)|=|42||(7-1)7^{2-1}\\\phi(50)|=|20||(2-1)2^{1-1} \cdot (5-1)5^{2-1}\\\phi(51)|=|32||(3-1)3^{1-1} \cdot (17-1)17^{1-1}\\\phi(52)|=|24||(2-1)2^{2-1} \cdot (13-1)13^{1-1}\\\phi(53)|=|52||(53-1)53^{1-1}\\\phi(54)|=|18||(2-1)2^{1-1} \cdot (3-1)3^{3-1}\\\phi(55)|=|40||(5-1)5^{1-1} \cdot (11-1)11^{1-1}\\\phi(56)|=|24||(2-1)2^{3-1} \cdot (7-1)7^{1-1}\\\phi(57)|=|36||(3-1)3^{1-1} \cdot (19-1)19^{1-1}\\\phi(58)|=|28||(2-1)2^{1-1} \cdot (29-1)29^{1-1}\\\phi(59)|=|58||(59-1)59^{1-1}\\\phi(60)|=|16||(2-1)2^{2-1} \cdot (3-1)3^{1-1} \cdot (5-1)5^{1-1}\end{eqnarray}%%
ϕ(61)⋯ϕ(80)ϕ(61)⋯ϕ(80)
%%\begin{eqnarray}\phi(61)|=|60|\hspace{2em}|(61-1)61^{1-1}\\\phi(62)|=|30||(2-1)2^{1-1} \cdot (31-1)31^{1-1}\\\phi(63)|=|36||(3-1)3^{2-1} \cdot (7-1)7^{1-1}\\\phi(64)|=|32||(2-1)2^{6-1}\\\phi(65)|=|48||(5-1)5^{1-1} \cdot (13-1)13^{1-1}\\\phi(66)|=|20||(2-1)2^{1-1} \cdot (3-1)3^{1-1} \cdot (11-1)11^{1-1}\\\phi(67)|=|66||(67-1)67^{1-1}\\\phi(68)|=|32||(2-1)2^{2-1} \cdot (17-1)17^{1-1}\\\phi(69)|=|44||(3-1)3^{1-1} \cdot (23-1)23^{1-1}\\\phi(70)|=|24||(2-1)2^{1-1} \cdot (5-1)5^{1-1} \cdot (7-1)7^{1-1}\\\phi(71)|=|70||(71-1)71^{1-1}\\\phi(72)|=|24||(2-1)2^{3-1} \cdot (3-1)3^{2-1}\\\phi(73)|=|72||(73-1)73^{1-1}\\\phi(74)|=|36||(2-1)2^{1-1} \cdot (37-1)37^{1-1}\\\phi(75)|=|40||(3-1)3^{1-1} \cdot (5-1)5^{2-1}\\\phi(76)|=|36||(2-1)2^{2-1} \cdot (19-1)19^{1-1}\\\phi(77)|=|60||(7-1)7^{1-1} \cdot (11-1)11^{1-1}\\\phi(78)|=|24||(2-1)2^{1-1} \cdot (3-1)3^{1-1} \cdot (13-1)13^{1-1}\\\phi(79)|=|78||(79-1)79^{1-1}\\\phi(80)|=|32||(2-1)2^{4-1} \cdot (5-1)5^{1-1}\end{eqnarray}%%
ϕ(81)⋯ϕ(100)ϕ(81)⋯ϕ(100)
%%\begin{eqnarray}\phi(81)|=|54|\hspace{2em}|(3-1)3^{4-1}\\\phi(82)|=|40||(2-1)2^{1-1} \cdot (41-1)41^{1-1}\\\phi(83)|=|82||(83-1)83^{1-1}\\\phi(84)|=|24||(2-1)2^{2-1} \cdot (3-1)3^{1-1} \cdot (7-1)7^{1-1}\\\phi(85)|=|64||(5-1)5^{1-1} \cdot (17-1)17^{1-1}\\\phi(86)|=|42||(2-1)2^{1-1} \cdot (43-1)43^{1-1}\\\phi(87)|=|56||(3-1)3^{1-1} \cdot (29-1)29^{1-1}\\\phi(88)|=|40||(2-1)2^{3-1} \cdot (11-1)11^{1-1}\\\phi(89)|=|88||(89-1)89^{1-1}\\\phi(90)|=|24||(2-1)2^{1-1} \cdot (3-1)3^{2-1} \cdot (5-1)5^{1-1}\\\phi(91)|=|72||(7-1)7^{1-1} \cdot (13-1)13^{1-1}\\\phi(92)|=|44||(2-1)2^{2-1} \cdot (23-1)23^{1-1}\\\phi(93)|=|60||(3-1)3^{1-1} \cdot (31-1)31^{1-1}\\\phi(94)|=|46||(2-1)2^{1-1} \cdot (47-1)47^{1-1}\\\phi(95)|=|72||(5-1)5^{1-1} \cdot (19-1)19^{1-1}\\\phi(96)|=|32||(2-1)2^{5-1} \cdot (3-1)3^{1-1}\\\phi(97)|=|96||(97-1)97^{1-1}\\\phi(98)|=|42||(2-1)2^{1-1} \cdot (7-1)7^{2-1}\\\phi(99)|=|60||(3-1)3^{2-1} \cdot (11-1)11^{1-1}\\\phi(100)|=|40||(2-1)2^{2-1} \cdot (5-1)5^{2-1}\end{eqnarray}%%
ϕ(101)⋯ϕ(120)ϕ(101)⋯ϕ(120)
%%\begin{eqnarray}\phi(101)|=|100|\hspace{2em}|(101-1)101^{1-1}\\\phi(102)|=|32||(2-1)2^{1-1} \cdot (3-1)3^{1-1} \cdot (17-1)17^{1-1}\\\phi(103)|=|102||(103-1)103^{1-1}\\\phi(104)|=|48||(2-1)2^{3-1} \cdot (13-1)13^{1-1}\\\phi(105)|=|48||(3-1)3^{1-1} \cdot (5-1)5^{1-1} \cdot (7-1)7^{1-1}\\\phi(106)|=|52||(2-1)2^{1-1} \cdot (53-1)53^{1-1}\\\phi(107)|=|106||(107-1)107^{1-1}\\\phi(108)|=|36||(2-1)2^{2-1} \cdot (3-1)3^{3-1}\\\phi(109)|=|108||(109-1)109^{1-1}\\\phi(110)|=|40||(2-1)2^{1-1} \cdot (5-1)5^{1-1} \cdot (11-1)11^{1-1}\\\phi(111)|=|72||(3-1)3^{1-1} \cdot (37-1)37^{1-1}\\\phi(112)|=|48||(2-1)2^{4-1} \cdot (7-1)7^{1-1}\\\phi(113)|=|112||(113-1)113^{1-1}\\\phi(114)|=|36||(2-1)2^{1-1} \cdot (3-1)3^{1-1} \cdot (19-1)19^{1-1}\\\phi(115)|=|88||(5-1)5^{1-1} \cdot (23-1)23^{1-1}\\\phi(116)|=|56||(2-1)2^{2-1} \cdot (29-1)29^{1-1}\\\phi(117)|=|72||(3-1)3^{2-1} \cdot (13-1)13^{1-1}\\\phi(118)|=|58||(2-1)2^{1-1} \cdot (59-1)59^{1-1}\\\phi(119)|=|96||(7-1)7^{1-1} \cdot (17-1)17^{1-1}\\\phi(120)|=|32||(2-1)2^{3-1} \cdot (3-1)3^{1-1} \cdot (5-1)5^{1-1}\end{eqnarray}%%
ϕ(121)⋯ϕ(140)ϕ(121)⋯ϕ(140)
%%\begin{eqnarray}\phi(121)|=|110|\hspace{2em}|(11-1)11^{2-1}\\\phi(122)|=|60||(2-1)2^{1-1} \cdot (61-1)61^{1-1}\\\phi(123)|=|80||(3-1)3^{1-1} \cdot (41-1)41^{1-1}\\\phi(124)|=|60||(2-1)2^{2-1} \cdot (31-1)31^{1-1}\\\phi(125)|=|100||(5-1)5^{3-1}\\\phi(126)|=|36||(2-1)2^{1-1} \cdot (3-1)3^{2-1} \cdot (7-1)7^{1-1}\\\phi(127)|=|126||(127-1)127^{1-1}\\\phi(128)|=|64||(2-1)2^{7-1}\\\phi(129)|=|84||(3-1)3^{1-1} \cdot (43-1)43^{1-1}\\\phi(130)|=|48||(2-1)2^{1-1} \cdot (5-1)5^{1-1} \cdot (13-1)13^{1-1}\\\phi(131)|=|130||(131-1)131^{1-1}\\\phi(132)|=|40||(2-1)2^{2-1} \cdot (3-1)3^{1-1} \cdot (11-1)11^{1-1}\\\phi(133)|=|108||(7-1)7^{1-1} \cdot (19-1)19^{1-1}\\\phi(134)|=|66||(2-1)2^{1-1} \cdot (67-1)67^{1-1}\\\phi(135)|=|72||(3-1)3^{3-1} \cdot (5-1)5^{1-1}\\\phi(136)|=|64||(2-1)2^{3-1} \cdot (17-1)17^{1-1}\\\phi(137)|=|136||(137-1)137^{1-1}\\\phi(138)|=|44||(2-1)2^{1-1} \cdot (3-1)3^{1-1} \cdot (23-1)23^{1-1}\\\phi(139)|=|138||(139-1)139^{1-1}\\\phi(140)|=|48||(2-1)2^{2-1} \cdot (5-1)5^{1-1} \cdot (7-1)7^{1-1}\end{eqnarray}%%
ϕ(141)⋯ϕ(160)ϕ(141)⋯ϕ(160)
%%\begin{eqnarray}\phi(141)|=|92|\hspace{2em}|(3-1)3^{1-1} \cdot (47-1)47^{1-1}\\\phi(142)|=|70||(2-1)2^{1-1} \cdot (71-1)71^{1-1}\\\phi(143)|=|120||(11-1)11^{1-1} \cdot (13-1)13^{1-1}\\\phi(144)|=|48||(2-1)2^{4-1} \cdot (3-1)3^{2-1}\\\phi(145)|=|112||(5-1)5^{1-1} \cdot (29-1)29^{1-1}\\\phi(146)|=|72||(2-1)2^{1-1} \cdot (73-1)73^{1-1}\\\phi(147)|=|84||(3-1)3^{1-1} \cdot (7-1)7^{2-1}\\\phi(148)|=|72||(2-1)2^{2-1} \cdot (37-1)37^{1-1}\\\phi(149)|=|148||(149-1)149^{1-1}\\\phi(150)|=|40||(2-1)2^{1-1} \cdot (3-1)3^{1-1} \cdot (5-1)5^{2-1}\\\phi(151)|=|150||(151-1)151^{1-1}\\\phi(152)|=|72||(2-1)2^{3-1} \cdot (19-1)19^{1-1}\\\phi(153)|=|96||(3-1)3^{2-1} \cdot (17-1)17^{1-1}\\\phi(154)|=|60||(2-1)2^{1-1} \cdot (7-1)7^{1-1} \cdot (11-1)11^{1-1}\\\phi(155)|=|120||(5-1)5^{1-1} \cdot (31-1)31^{1-1}\\\phi(156)|=|48||(2-1)2^{2-1} \cdot (3-1)3^{1-1} \cdot (13-1)13^{1-1}\\\phi(157)|=|156||(157-1)157^{1-1}\\\phi(158)|=|78||(2-1)2^{1-1} \cdot (79-1)79^{1-1}\\\phi(159)|=|104||(3-1)3^{1-1} \cdot (53-1)53^{1-1}\\\phi(160)|=|64||(2-1)2^{5-1} \cdot (5-1)5^{1-1}\end{eqnarray}%%
ϕ(161)⋯ϕ(180)ϕ(161)⋯ϕ(180)
%%\begin{eqnarray}\phi(161)|=|132|\hspace{2em}|(7-1)7^{1-1} \cdot (23-1)23^{1-1}\\\phi(162)|=|54||(2-1)2^{1-1} \cdot (3-1)3^{4-1}\\\phi(163)|=|162||(163-1)163^{1-1}\\\phi(164)|=|80||(2-1)2^{2-1} \cdot (41-1)41^{1-1}\\\phi(165)|=|80||(3-1)3^{1-1} \cdot (5-1)5^{1-1} \cdot (11-1)11^{1-1}\\\phi(166)|=|82||(2-1)2^{1-1} \cdot (83-1)83^{1-1}\\\phi(167)|=|166||(167-1)167^{1-1}\\\phi(168)|=|48||(2-1)2^{3-1} \cdot (3-1)3^{1-1} \cdot (7-1)7^{1-1}\\\phi(169)|=|156||(13-1)13^{2-1}\\\phi(170)|=|64||(2-1)2^{1-1} \cdot (5-1)5^{1-1} \cdot (17-1)17^{1-1}\\\phi(171)|=|108||(3-1)3^{2-1} \cdot (19-1)19^{1-1}\\\phi(172)|=|84||(2-1)2^{2-1} \cdot (43-1)43^{1-1}\\\phi(173)|=|172||(173-1)173^{1-1}\\\phi(174)|=|56||(2-1)2^{1-1} \cdot (3-1)3^{1-1} \cdot (29-1)29^{1-1}\\\phi(175)|=|120||(5-1)5^{2-1} \cdot (7-1)7^{1-1}\\\phi(176)|=|80||(2-1)2^{4-1} \cdot (11-1)11^{1-1}\\\phi(177)|=|116||(3-1)3^{1-1} \cdot (59-1)59^{1-1}\\\phi(178)|=|88||(2-1)2^{1-1} \cdot (89-1)89^{1-1}\\\phi(179)|=|178||(179-1)179^{1-1}\\\phi(180)|=|48||(2-1)2^{2-1} \cdot (3-1)3^{2-1} \cdot (5-1)5^{1-1}\end{eqnarray}%%
ϕ(181)⋯ϕ(200)ϕ(181)⋯ϕ(200)
%%\begin{eqnarray}\phi(181)|=|180|\hspace{2em}|(181-1)181^{1-1}\\\phi(182)|=|72||(2-1)2^{1-1} \cdot (7-1)7^{1-1} \cdot (13-1)13^{1-1}\\\phi(183)|=|120||(3-1)3^{1-1} \cdot (61-1)61^{1-1}\\\phi(184)|=|88||(2-1)2^{3-1} \cdot (23-1)23^{1-1}\\\phi(185)|=|144||(5-1)5^{1-1} \cdot (37-1)37^{1-1}\\\phi(186)|=|60||(2-1)2^{1-1} \cdot (3-1)3^{1-1} \cdot (31-1)31^{1-1}\\\phi(187)|=|160||(11-1)11^{1-1} \cdot (17-1)17^{1-1}\\\phi(188)|=|92||(2-1)2^{2-1} \cdot (47-1)47^{1-1}\\\phi(189)|=|108||(3-1)3^{3-1} \cdot (7-1)7^{1-1}\\\phi(190)|=|72||(2-1)2^{1-1} \cdot (5-1)5^{1-1} \cdot (19-1)19^{1-1}\\\phi(191)|=|190||(191-1)191^{1-1}\\\phi(192)|=|64||(2-1)2^{6-1} \cdot (3-1)3^{1-1}\\\phi(193)|=|192||(193-1)193^{1-1}\\\phi(194)|=|96||(2-1)2^{1-1} \cdot (97-1)97^{1-1}\\\phi(195)|=|96||(3-1)3^{1-1} \cdot (5-1)5^{1-1} \cdot (13-1)13^{1-1}\\\phi(196)|=|84||(2-1)2^{2-1} \cdot (7-1)7^{2-1}\\\phi(197)|=|196||(197-1)197^{1-1}\\\phi(198)|=|60||(2-1)2^{1-1} \cdot (3-1)3^{2-1} \cdot (11-1)11^{1-1}\\\phi(199)|=|198||(199-1)199^{1-1}\\\phi(200)|=|80||(2-1)2^{3-1} \cdot (5-1)5^{2-1}\end{eqnarray}%%

3.4. Links related to Euler's totient function オイラーのトーシェント関数の関連リンク

4. Radical function ラジカル関数

4.1. Definition of radical function ラジカル関数の定義

Radical function rad(n) is the largest squarefree divisor of n. It is also written as squarefree kernel of n. ラジカル関数 rad(n) は n の無平方の最大の約数です。n の無平方核 (squarefree kernel) とも書きます。

4.2. Calculation of radical function ラジカル関数の計算

n=∏pieirad(n)=∏pi

4.3. List of radical function ラジカル関数の一覧

rad(1)⋯rad(20)rad(1)⋯rad(20)
rad(1)=1rad(2)=22rad(3)=33rad(4)=22rad(5)=55rad(6)=62⋅3rad(7)=77rad(8)=22rad(9)=33rad(10)=102⋅5rad(11)=1111rad(12)=62⋅3rad(13)=1313rad(14)=142⋅7rad(15)=153⋅5rad(16)=22rad(17)=1717rad(18)=62⋅3rad(19)=1919rad(20)=102⋅5
rad(21)⋯rad(40)rad(21)⋯rad(40)
%%\begin{eqnarray}\mathrm{rad}(21)|=|21|\hspace{2em}|3 \cdot 7\\\mathrm{rad}(22)|=|22||2 \cdot 11\\\mathrm{rad}(23)|=|23||23\\\mathrm{rad}(24)|=|6||2 \cdot 3\\\mathrm{rad}(25)|=|5||5\\\mathrm{rad}(26)|=|26||2 \cdot 13\\\mathrm{rad}(27)|=|3||3\\\mathrm{rad}(28)|=|14||2 \cdot 7\\\mathrm{rad}(29)|=|29||29\\\mathrm{rad}(30)|=|30||2 \cdot 3 \cdot 5\\\mathrm{rad}(31)|=|31||31\\\mathrm{rad}(32)|=|2||2\\\mathrm{rad}(33)|=|33||3 \cdot 11\\\mathrm{rad}(34)|=|34||2 \cdot 17\\\mathrm{rad}(35)|=|35||5 \cdot 7\\\mathrm{rad}(36)|=|6||2 \cdot 3\\\mathrm{rad}(37)|=|37||37\\\mathrm{rad}(38)|=|38||2 \cdot 19\\\mathrm{rad}(39)|=|39||3 \cdot 13\\\mathrm{rad}(40)|=|10||2 \cdot 5\end{eqnarray}%%
rad(41)⋯rad(60)rad(41)⋯rad(60)
%%\begin{eqnarray}\mathrm{rad}(41)|=|41|\hspace{2em}|41\\\mathrm{rad}(42)|=|42||2 \cdot 3 \cdot 7\\\mathrm{rad}(43)|=|43||43\\\mathrm{rad}(44)|=|22||2 \cdot 11\\\mathrm{rad}(45)|=|15||3 \cdot 5\\\mathrm{rad}(46)|=|46||2 \cdot 23\\\mathrm{rad}(47)|=|47||47\\\mathrm{rad}(48)|=|6||2 \cdot 3\\\mathrm{rad}(49)|=|7||7\\\mathrm{rad}(50)|=|10||2 \cdot 5\\\mathrm{rad}(51)|=|51||3 \cdot 17\\\mathrm{rad}(52)|=|26||2 \cdot 13\\\mathrm{rad}(53)|=|53||53\\\mathrm{rad}(54)|=|6||2 \cdot 3\\\mathrm{rad}(55)|=|55||5 \cdot 11\\\mathrm{rad}(56)|=|14||2 \cdot 7\\\mathrm{rad}(57)|=|57||3 \cdot 19\\\mathrm{rad}(58)|=|58||2 \cdot 29\\\mathrm{rad}(59)|=|59||59\\\mathrm{rad}(60)|=|30||2 \cdot 3 \cdot 5\end{eqnarray}%%
rad(61)⋯rad(80)rad(61)⋯rad(80)
%%\begin{eqnarray}\mathrm{rad}(61)|=|61|\hspace{2em}|61\\\mathrm{rad}(62)|=|62||2 \cdot 31\\\mathrm{rad}(63)|=|21||3 \cdot 7\\\mathrm{rad}(64)|=|2||2\\\mathrm{rad}(65)|=|65||5 \cdot 13\\\mathrm{rad}(66)|=|66||2 \cdot 3 \cdot 11\\\mathrm{rad}(67)|=|67||67\\\mathrm{rad}(68)|=|34||2 \cdot 17\\\mathrm{rad}(69)|=|69||3 \cdot 23\\\mathrm{rad}(70)|=|70||2 \cdot 5 \cdot 7\\\mathrm{rad}(71)|=|71||71\\\mathrm{rad}(72)|=|6||2 \cdot 3\\\mathrm{rad}(73)|=|73||73\\\mathrm{rad}(74)|=|74||2 \cdot 37\\\mathrm{rad}(75)|=|15||3 \cdot 5\\\mathrm{rad}(76)|=|38||2 \cdot 19\\\mathrm{rad}(77)|=|77||7 \cdot 11\\\mathrm{rad}(78)|=|78||2 \cdot 3 \cdot 13\\\mathrm{rad}(79)|=|79||79\\\mathrm{rad}(80)|=|10||2 \cdot 5\end{eqnarray}%%
rad(81)⋯rad(100)rad(81)⋯rad(100)
%%\begin{eqnarray}\mathrm{rad}(81)|=|3|\hspace{2em}|3\\\mathrm{rad}(82)|=|82||2 \cdot 41\\\mathrm{rad}(83)|=|83||83\\\mathrm{rad}(84)|=|42||2 \cdot 3 \cdot 7\\\mathrm{rad}(85)|=|85||5 \cdot 17\\\mathrm{rad}(86)|=|86||2 \cdot 43\\\mathrm{rad}(87)|=|87||3 \cdot 29\\\mathrm{rad}(88)|=|22||2 \cdot 11\\\mathrm{rad}(89)|=|89||89\\\mathrm{rad}(90)|=|30||2 \cdot 3 \cdot 5\\\mathrm{rad}(91)|=|91||7 \cdot 13\\\mathrm{rad}(92)|=|46||2 \cdot 23\\\mathrm{rad}(93)|=|93||3 \cdot 31\\\mathrm{rad}(94)|=|94||2 \cdot 47\\\mathrm{rad}(95)|=|95||5 \cdot 19\\\mathrm{rad}(96)|=|6||2 \cdot 3\\\mathrm{rad}(97)|=|97||97\\\mathrm{rad}(98)|=|14||2 \cdot 7\\\mathrm{rad}(99)|=|33||3 \cdot 11\\\mathrm{rad}(100)|=|10||2 \cdot 5\end{eqnarray}%%
rad(101)⋯rad(120)rad(101)⋯rad(120)
%%\begin{eqnarray}\mathrm{rad}(101)|=|101|\hspace{2em}|101\\\mathrm{rad}(102)|=|102||2 \cdot 3 \cdot 17\\\mathrm{rad}(103)|=|103||103\\\mathrm{rad}(104)|=|26||2 \cdot 13\\\mathrm{rad}(105)|=|105||3 \cdot 5 \cdot 7\\\mathrm{rad}(106)|=|106||2 \cdot 53\\\mathrm{rad}(107)|=|107||107\\\mathrm{rad}(108)|=|6||2 \cdot 3\\\mathrm{rad}(109)|=|109||109\\\mathrm{rad}(110)|=|110||2 \cdot 5 \cdot 11\\\mathrm{rad}(111)|=|111||3 \cdot 37\\\mathrm{rad}(112)|=|14||2 \cdot 7\\\mathrm{rad}(113)|=|113||113\\\mathrm{rad}(114)|=|114||2 \cdot 3 \cdot 19\\\mathrm{rad}(115)|=|115||5 \cdot 23\\\mathrm{rad}(116)|=|58||2 \cdot 29\\\mathrm{rad}(117)|=|39||3 \cdot 13\\\mathrm{rad}(118)|=|118||2 \cdot 59\\\mathrm{rad}(119)|=|119||7 \cdot 17\\\mathrm{rad}(120)|=|30||2 \cdot 3 \cdot 5\end{eqnarray}%%
rad(121)⋯rad(140)rad(121)⋯rad(140)
%%\begin{eqnarray}\mathrm{rad}(121)|=|11|\hspace{2em}|11\\\mathrm{rad}(122)|=|122||2 \cdot 61\\\mathrm{rad}(123)|=|123||3 \cdot 41\\\mathrm{rad}(124)|=|62||2 \cdot 31\\\mathrm{rad}(125)|=|5||5\\\mathrm{rad}(126)|=|42||2 \cdot 3 \cdot 7\\\mathrm{rad}(127)|=|127||127\\\mathrm{rad}(128)|=|2||2\\\mathrm{rad}(129)|=|129||3 \cdot 43\\\mathrm{rad}(130)|=|130||2 \cdot 5 \cdot 13\\\mathrm{rad}(131)|=|131||131\\\mathrm{rad}(132)|=|66||2 \cdot 3 \cdot 11\\\mathrm{rad}(133)|=|133||7 \cdot 19\\\mathrm{rad}(134)|=|134||2 \cdot 67\\\mathrm{rad}(135)|=|15||3 \cdot 5\\\mathrm{rad}(136)|=|34||2 \cdot 17\\\mathrm{rad}(137)|=|137||137\\\mathrm{rad}(138)|=|138||2 \cdot 3 \cdot 23\\\mathrm{rad}(139)|=|139||139\\\mathrm{rad}(140)|=|70||2 \cdot 5 \cdot 7\end{eqnarray}%%
rad(141)⋯rad(160)rad(141)⋯rad(160)
%%\begin{eqnarray}\mathrm{rad}(141)|=|141|\hspace{2em}|3 \cdot 47\\\mathrm{rad}(142)|=|142||2 \cdot 71\\\mathrm{rad}(143)|=|143||11 \cdot 13\\\mathrm{rad}(144)|=|6||2 \cdot 3\\\mathrm{rad}(145)|=|145||5 \cdot 29\\\mathrm{rad}(146)|=|146||2 \cdot 73\\\mathrm{rad}(147)|=|21||3 \cdot 7\\\mathrm{rad}(148)|=|74||2 \cdot 37\\\mathrm{rad}(149)|=|149||149\\\mathrm{rad}(150)|=|30||2 \cdot 3 \cdot 5\\\mathrm{rad}(151)|=|151||151\\\mathrm{rad}(152)|=|38||2 \cdot 19\\\mathrm{rad}(153)|=|51||3 \cdot 17\\\mathrm{rad}(154)|=|154||2 \cdot 7 \cdot 11\\\mathrm{rad}(155)|=|155||5 \cdot 31\\\mathrm{rad}(156)|=|78||2 \cdot 3 \cdot 13\\\mathrm{rad}(157)|=|157||157\\\mathrm{rad}(158)|=|158||2 \cdot 79\\\mathrm{rad}(159)|=|159||3 \cdot 53\\\mathrm{rad}(160)|=|10||2 \cdot 5\end{eqnarray}%%
rad(161)⋯rad(180)rad(161)⋯rad(180)
%%\begin{eqnarray}\mathrm{rad}(161)|=|161|\hspace{2em}|7 \cdot 23\\\mathrm{rad}(162)|=|6||2 \cdot 3\\\mathrm{rad}(163)|=|163||163\\\mathrm{rad}(164)|=|82||2 \cdot 41\\\mathrm{rad}(165)|=|165||3 \cdot 5 \cdot 11\\\mathrm{rad}(166)|=|166||2 \cdot 83\\\mathrm{rad}(167)|=|167||167\\\mathrm{rad}(168)|=|42||2 \cdot 3 \cdot 7\\\mathrm{rad}(169)|=|13||13\\\mathrm{rad}(170)|=|170||2 \cdot 5 \cdot 17\\\mathrm{rad}(171)|=|57||3 \cdot 19\\\mathrm{rad}(172)|=|86||2 \cdot 43\\\mathrm{rad}(173)|=|173||173\\\mathrm{rad}(174)|=|174||2 \cdot 3 \cdot 29\\\mathrm{rad}(175)|=|35||5 \cdot 7\\\mathrm{rad}(176)|=|22||2 \cdot 11\\\mathrm{rad}(177)|=|177||3 \cdot 59\\\mathrm{rad}(178)|=|178||2 \cdot 89\\\mathrm{rad}(179)|=|179||179\\\mathrm{rad}(180)|=|30||2 \cdot 3 \cdot 5\end{eqnarray}%%
rad(181)⋯rad(200)rad(181)⋯rad(200)
%%\begin{eqnarray}\mathrm{rad}(181)|=|181|\hspace{2em}|181\\\mathrm{rad}(182)|=|182||2 \cdot 7 \cdot 13\\\mathrm{rad}(183)|=|183||3 \cdot 61\\\mathrm{rad}(184)|=|46||2 \cdot 23\\\mathrm{rad}(185)|=|185||5 \cdot 37\\\mathrm{rad}(186)|=|186||2 \cdot 3 \cdot 31\\\mathrm{rad}(187)|=|187||11 \cdot 17\\\mathrm{rad}(188)|=|94||2 \cdot 47\\\mathrm{rad}(189)|=|21||3 \cdot 7\\\mathrm{rad}(190)|=|190||2 \cdot 5 \cdot 19\\\mathrm{rad}(191)|=|191||191\\\mathrm{rad}(192)|=|6||2 \cdot 3\\\mathrm{rad}(193)|=|193||193\\\mathrm{rad}(194)|=|194||2 \cdot 97\\\mathrm{rad}(195)|=|195||3 \cdot 5 \cdot 13\\\mathrm{rad}(196)|=|14||2 \cdot 7\\\mathrm{rad}(197)|=|197||197\\\mathrm{rad}(198)|=|66||2 \cdot 3 \cdot 11\\\mathrm{rad}(199)|=|199||199\\\mathrm{rad}(200)|=|10||2 \cdot 5\end{eqnarray}%%

4.4. Links related to radical function ラジカル関数の関連リンク

5. Cyclotomic polynomial 円分多項式

5.1. Definition of cyclotomic polynomial 円分多項式の定義

Φ1(x)=x−1xn−1=∏d∣nΦd(x)

5.2. Calculation of cyclotomic polynomials 円分多項式の計算

Φn(x)=∏d∣n(xd−1)μ(n/d)or∏d∣n(xn/d−1)μ(d)=∏d∣n;μ(n/d)=1xd−1∏d∣n;μ(n/d)=−1xd−1=(∏d∣n;μ(n/d)=1xd)(∏d∣n;μ(n/d)=1xd−1)(∏d∣n;μ(n/d)=−1xd)(∏d∣n;μ(n/d)=1xd)(∏d∣n;μ(n/d)=−1xd−1)(∏d∣n;μ(n/d)=−1xd)=x∑d∣n;μ(n/d)=1dx∑d∣n;μ(n/d)=−1d(∏d∣n;μ(n/d)=1xd−1xd)(∏d∣n;μ(n/d)=−1xdxd−1)=xϕ(n)(∏d∣n;μ(n/d)=11−1xd)(∏d∣n;μ(n/d)=−11+1xd+1x2d+1x3d+⋯)
Φ2j+1(2k+1)(x)=∏d∣2k+1(x2jd+1)μ((2k+1)/d)or∏d∣2k+1(x2j(2k+1)/d+1)μ(d)=∏d∣2k+1;μ((2k+1)/d)=1x2jd+1∏d∣2k+1;μ((2k+1)/d)=−1x2jd+1=∏d∣2k+1;μ((2k+1)/d)=1(x2j)d+1∏d∣2k+1;μ((2k+1)/d)=−1(x2j)d+1
Φn(x)=Φrad(n)(xn/rad(n))
Φn(xs)=∏d∣rΦns/d(x)(r is the greatest divisor of s that satisfies gcd(n,r)=1)

5.3. List of cyclotomic polynomials 円分多項式の一覧

Φ1(x)⋯Φ20(x)Φ1(x)⋯Φ20(x)
Φ1(x)=x−1Φ2(x)=x+1Φ3(x)=x3−1x−1=x2+x+1Φ4(x)=x2+1Φ5(x)=x5−1x−1=x4+x3+x2+x+1Φ6(x)=x3+1x+1=x2−x+1Φ7(x)=x7−1x−1=x6+x5+x4+x3+x2+x+1Φ8(x)=x4+1Φ9(x)=x9−1x3−1=x6+x3+1Φ10(x)=x5+1x+1=x4−x3+x2−x+1Φ11(x)=x11−1x−1=x10+x9+x8+x7+x6+x5+x4+x3+x2+x+1Φ12(x)=x6+1x2+1=x4−x2+1Φ13(x)=x13−1x−1=x12+x11+x10+x9+x8+x7+x6+x5+x4+x3+x2+x+1Φ14(x)=x7+1x+1=x6−x5+x4−x3+x2−x+1Φ15(x)=(x−1)(x15−1)(x3−1)(x5−1)=x8−x7+x5−x4+x3−x+1Φ16(x)=x8+1Φ17(x)=x17−1x−1=x16+x15+x14+x13+x12+x11+x10+x9+x8+x7+x6+x5+x4+x3+x2+x+1Φ18(x)=x9+1x3+1=x6−x3+1Φ19(x)=x19−1x−1=x18+x17+x16+x15+x14+x13+x12+x11+x10+x9+x8+x7+x6+x5+x4+x3+x2+x+1Φ20(x)=x10+1x2+1=x8−x6+x4−x2+1
Φ21(x)⋯Φ40(x)Φ21(x)⋯Φ40(x)
%%\begin{eqnarray}{\large\Phi}_{21}(x)|=|\frac{(x-1)(x^{21}-1)}{(x^3-1)(x^7-1)}\\|=|x^{12}-x^{11}+x^9-x^8+x^6-x^4+x^3-x+1\\{\large\Phi}_{22}(x)|=|\frac{x^{11}+1}{x+1}\\|=|x^{10}-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1\\{\large\Phi}_{23}(x)|=|\frac{x^{23}-1}{x-1}\\|=|x^{22}+x^{21}+x^{20}+x^{19}+x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}\\||+x^{12}+x^{11}+x^{10}+x^9+x^8+x^7+x^6+x^5+x^4+x^3\\||+x^2+x+1\\{\large\Phi}_{24}(x)|=|\frac{x^{12}+1}{x^4+1}\\|=|x^8-x^4+1\\{\large\Phi}_{25}(x)|=|\frac{x^{25}-1}{x^5-1}\\|=|x^{20}+x^{15}+x^{10}+x^5+1\\{\large\Phi}_{26}(x)|=|\frac{x^{13}+1}{x+1}\\|=|x^{12}-x^{11}+x^{10}-x^9+x^8-x^7+x^6-x^5+x^4-x^3\\||+x^2-x+1\\{\large\Phi}_{27}(x)|=|\frac{x^{27}-1}{x^9-1}\\|=|x^{18}+x^9+1\\{\large\Phi}_{28}(x)|=|\frac{x^{14}+1}{x^2+1}\\|=|x^{12}-x^{10}+x^8-x^6+x^4-x^2+1\\{\large\Phi}_{29}(x)|=|\frac{x^{29}-1}{x-1}\\|=|x^{28}+x^{27}+x^{26}+x^{25}+x^{24}+x^{23}+x^{22}+x^{21}+x^{20}+x^{19}\\||+x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}+x^{10}+x^9\\||+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1\\{\large\Phi}_{30}(x)|=|\frac{(x+1)(x^{15}+1)}{(x^3+1)(x^5+1)}\\|=|x^8+x^7-x^5-x^4-x^3+x+1\\{\large\Phi}_{31}(x)|=|\frac{x^{31}-1}{x-1}\\|=|x^{30}+x^{29}+x^{28}+x^{27}+x^{26}+x^{25}+x^{24}+x^{23}+x^{22}+x^{21}\\||+x^{20}+x^{19}+x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}\\||+x^{10}+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1\\{\large\Phi}_{32}(x)|=|x^{16}+1\\{\large\Phi}_{33}(x)|=|\frac{(x-1)(x^{33}-1)}{(x^3-1)(x^{11}-1)}\\|=|x^{20}-x^{19}+x^{17}-x^{16}+x^{14}-x^{13}+x^{11}-x^{10}+x^9-x^7\\||+x^6-x^4+x^3-x+1\\{\large\Phi}_{34}(x)|=|\frac{x^{17}+1}{x+1}\\|=|x^{16}-x^{15}+x^{14}-x^{13}+x^{12}-x^{11}+x^{10}-x^9+x^8-x^7\\||+x^6-x^5+x^4-x^3+x^2-x+1\\{\large\Phi}_{35}(x)|=|\frac{(x-1)(x^{35}-1)}{(x^5-1)(x^7-1)}\\|=|x^{24}-x^{23}+x^{19}-x^{18}+x^{17}-x^{16}+x^{14}-x^{13}+x^{12}-x^{11}\\||+x^{10}-x^8+x^7-x^6+x^5-x+1\\{\large\Phi}_{36}(x)|=|\frac{x^{18}+1}{x^6+1}\\|=|x^{12}-x^6+1\\{\large\Phi}_{37}(x)|=|\frac{x^{37}-1}{x-1}\\|=|x^{36}+x^{35}+x^{34}+x^{33}+x^{32}+x^{31}+x^{30}+x^{29}+x^{28}+x^{27}\\||+x^{26}+x^{25}+x^{24}+x^{23}+x^{22}+x^{21}+x^{20}+x^{19}+x^{18}+x^{17}\\||+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}+x^{10}+x^9+x^8+x^7\\||+x^6+x^5+x^4+x^3+x^2+x+1\\{\large\Phi}_{38}(x)|=|\frac{x^{19}+1}{x+1}\\|=|x^{18}-x^{17}+x^{16}-x^{15}+x^{14}-x^{13}+x^{12}-x^{11}+x^{10}-x^9\\||+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1\\{\large\Phi}_{39}(x)|=|\frac{(x-1)(x^{39}-1)}{(x^3-1)(x^{13}-1)}\\|=|x^{24}-x^{23}+x^{21}-x^{20}+x^{18}-x^{17}+x^{15}-x^{14}+x^{12}-x^{10}\\||+x^9-x^7+x^6-x^4+x^3-x+1\\{\large\Phi}_{40}(x)|=|\frac{x^{20}+1}{x^4+1}\\|=|x^{16}-x^{12}+x^8-x^4+1\end{eqnarray}%%
Φ41(x)⋯Φ60(x)Φ41(x)⋯Φ60(x)
%%\begin{eqnarray}{\large\Phi}_{41}(x)|=|\frac{x^{41}-1}{x-1}\\|=|x^{40}+x^{39}+x^{38}+x^{37}+x^{36}+x^{35}+x^{34}+x^{33}+x^{32}+x^{31}\\||+x^{30}+x^{29}+x^{28}+x^{27}+x^{26}+x^{25}+x^{24}+x^{23}+x^{22}+x^{21}\\||+x^{20}+x^{19}+x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}\\||+x^{10}+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1\\{\large\Phi}_{42}(x)|=|\frac{(x+1)(x^{21}+1)}{(x^3+1)(x^7+1)}\\|=|x^{12}+x^{11}-x^9-x^8+x^6-x^4-x^3+x+1\\{\large\Phi}_{43}(x)|=|\frac{x^{43}-1}{x-1}\\|=|x^{42}+x^{41}+x^{40}+x^{39}+x^{38}+x^{37}+x^{36}+x^{35}+x^{34}+x^{33}\\||+x^{32}+x^{31}+x^{30}+x^{29}+x^{28}+x^{27}+x^{26}+x^{25}+x^{24}+x^{23}\\||+x^{22}+x^{21}+x^{20}+x^{19}+x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}\\||+x^{12}+x^{11}+x^{10}+x^9+x^8+x^7+x^6+x^5+x^4+x^3\\||+x^2+x+1\\{\large\Phi}_{44}(x)|=|\frac{x^{22}+1}{x^2+1}\\|=|x^{20}-x^{18}+x^{16}-x^{14}+x^{12}-x^{10}+x^8-x^6+x^4-x^2+1\\{\large\Phi}_{45}(x)|=|\frac{(x^3-1)(x^{45}-1)}{(x^9-1)(x^{15}-1)}\\|=|x^{24}-x^{21}+x^{15}-x^{12}+x^9-x^3+1\\{\large\Phi}_{46}(x)|=|\frac{x^{23}+1}{x+1}\\|=|x^{22}-x^{21}+x^{20}-x^{19}+x^{18}-x^{17}+x^{16}-x^{15}+x^{14}-x^{13}\\||+x^{12}-x^{11}+x^{10}-x^9+x^8-x^7+x^6-x^5+x^4-x^3\\||+x^2-x+1\\{\large\Phi}_{47}(x)|=|\frac{x^{47}-1}{x-1}\\|=|x^{46}+x^{45}+x^{44}+x^{43}+x^{42}+x^{41}+x^{40}+x^{39}+x^{38}+x^{37}\\||+x^{36}+x^{35}+x^{34}+x^{33}+x^{32}+x^{31}+x^{30}+x^{29}+x^{28}+x^{27}\\||+x^{26}+x^{25}+x^{24}+x^{23}+x^{22}+x^{21}+x^{20}+x^{19}+x^{18}+x^{17}\\||+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}+x^{10}+x^9+x^8+x^7\\||+x^6+x^5+x^4+x^3+x^2+x+1\\{\large\Phi}_{48}(x)|=|\frac{x^{24}+1}{x^8+1}\\|=|x^{16}-x^8+1\\{\large\Phi}_{49}(x)|=|\frac{x^{49}-1}{x^7-1}\\|=|x^{42}+x^{35}+x^{28}+x^{21}+x^{14}+x^7+1\\{\large\Phi}_{50}(x)|=|\frac{x^{25}+1}{x^5+1}\\|=|x^{20}-x^{15}+x^{10}-x^5+1\\{\large\Phi}_{51}(x)|=|\frac{(x-1)(x^{51}-1)}{(x^3-1)(x^{17}-1)}\\|=|x^{32}-x^{31}+x^{29}-x^{28}+x^{26}-x^{25}+x^{23}-x^{22}+x^{20}-x^{19}\\||+x^{17}-x^{16}+x^{15}-x^{13}+x^{12}-x^{10}+x^9-x^7+x^6-x^4\\||+x^3-x+1\\{\large\Phi}_{52}(x)|=|\frac{x^{26}+1}{x^2+1}\\|=|x^{24}-x^{22}+x^{20}-x^{18}+x^{16}-x^{14}+x^{12}-x^{10}+x^8-x^6\\||+x^4-x^2+1\\{\large\Phi}_{53}(x)|=|\frac{x^{53}-1}{x-1}\\|=|x^{52}+x^{51}+x^{50}+x^{49}+x^{48}+x^{47}+x^{46}+x^{45}+x^{44}+x^{43}\\||+x^{42}+x^{41}+x^{40}+x^{39}+x^{38}+x^{37}+x^{36}+x^{35}+x^{34}+x^{33}\\||+x^{32}+x^{31}+x^{30}+x^{29}+x^{28}+x^{27}+x^{26}+x^{25}+x^{24}+x^{23}\\||+x^{22}+x^{21}+x^{20}+x^{19}+x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}\\||+x^{12}+x^{11}+x^{10}+x^9+x^8+x^7+x^6+x^5+x^4+x^3\\||+x^2+x+1\\{\large\Phi}_{54}(x)|=|\frac{x^{27}+1}{x^9+1}\\|=|x^{18}-x^9+1\\{\large\Phi}_{55}(x)|=|\frac{(x-1)(x^{55}-1)}{(x^5-1)(x^{11}-1)}\\|=|x^{40}-x^{39}+x^{35}-x^{34}+x^{30}-x^{28}+x^{25}-x^{23}+x^{20}-x^{17}\\||+x^{15}-x^{12}+x^{10}-x^6+x^5-x+1\\{\large\Phi}_{56}(x)|=|\frac{x^{28}+1}{x^4+1}\\|=|x^{24}-x^{20}+x^{16}-x^{12}+x^8-x^4+1\\{\large\Phi}_{57}(x)|=|\frac{(x-1)(x^{57}-1)}{(x^3-1)(x^{19}-1)}\\|=|x^{36}-x^{35}+x^{33}-x^{32}+x^{30}-x^{29}+x^{27}-x^{26}+x^{24}-x^{23}\\||+x^{21}-x^{20}+x^{18}-x^{16}+x^{15}-x^{13}+x^{12}-x^{10}+x^9-x^7\\||+x^6-x^4+x^3-x+1\\{\large\Phi}_{58}(x)|=|\frac{x^{29}+1}{x+1}\\|=|x^{28}-x^{27}+x^{26}-x^{25}+x^{24}-x^{23}+x^{22}-x^{21}+x^{20}-x^{19}\\||+x^{18}-x^{17}+x^{16}-x^{15}+x^{14}-x^{13}+x^{12}-x^{11}+x^{10}-x^9\\||+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1\\{\large\Phi}_{59}(x)|=|\frac{x^{59}-1}{x-1}\\|=|x^{58}+x^{57}+x^{56}+x^{55}+x^{54}+x^{53}+x^{52}+x^{51}+x^{50}+x^{49}\\||+x^{48}+x^{47}+x^{46}+x^{45}+x^{44}+x^{43}+x^{42}+x^{41}+x^{40}+x^{39}\\||+x^{38}+x^{37}+x^{36}+x^{35}+x^{34}+x^{33}+x^{32}+x^{31}+x^{30}+x^{29}\\||+x^{28}+x^{27}+x^{26}+x^{25}+x^{24}+x^{23}+x^{22}+x^{21}+x^{20}+x^{19}\\||+x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}+x^{10}+x^9\\||+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1\\{\large\Phi}_{60}(x)|=|\frac{(x^2+1)(x^{30}+1)}{(x^6+1)(x^{10}+1)}\\|=|x^{16}+x^{14}-x^{10}-x^8-x^6+x^2+1\end{eqnarray}%%
Φ61(x)⋯Φ80(x)Φ61(x)⋯Φ80(x)
%%\begin{eqnarray}{\large\Phi}_{61}(x)|=|\frac{x^{61}-1}{x-1}\\|=|x^{60}+x^{59}+x^{58}+x^{57}+x^{56}+x^{55}+x^{54}+x^{53}+x^{52}+x^{51}\\||+x^{50}+x^{49}+x^{48}+x^{47}+x^{46}+x^{45}+x^{44}+x^{43}+x^{42}+x^{41}\\||+x^{40}+x^{39}+x^{38}+x^{37}+x^{36}+x^{35}+x^{34}+x^{33}+x^{32}+x^{31}\\||+x^{30}+x^{29}+x^{28}+x^{27}+x^{26}+x^{25}+x^{24}+x^{23}+x^{22}+x^{21}\\||+x^{20}+x^{19}+x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}\\||+x^{10}+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1\\{\large\Phi}_{62}(x)|=|\frac{x^{31}+1}{x+1}\\|=|x^{30}-x^{29}+x^{28}-x^{27}+x^{26}-x^{25}+x^{24}-x^{23}+x^{22}-x^{21}\\||+x^{20}-x^{19}+x^{18}-x^{17}+x^{16}-x^{15}+x^{14}-x^{13}+x^{12}-x^{11}\\||+x^{10}-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1\\{\large\Phi}_{63}(x)|=|\frac{(x^3-1)(x^{63}-1)}{(x^9-1)(x^{21}-1)}\\|=|x^{36}-x^{33}+x^{27}-x^{24}+x^{18}-x^{12}+x^9-x^3+1\\{\large\Phi}_{64}(x)|=|x^{32}+1\\{\large\Phi}_{65}(x)|=|\frac{(x-1)(x^{65}-1)}{(x^5-1)(x^{13}-1)}\\|=|x^{48}-x^{47}+x^{43}-x^{42}+x^{38}-x^{37}+x^{35}-x^{34}+x^{33}-x^{32}\\||+x^{30}-x^{29}+x^{28}-x^{27}+x^{25}-x^{24}+x^{23}-x^{21}+x^{20}-x^{19}\\||+x^{18}-x^{16}+x^{15}-x^{14}+x^{13}-x^{11}+x^{10}-x^6+x^5-x+1\\{\large\Phi}_{66}(x)|=|\frac{(x+1)(x^{33}+1)}{(x^3+1)(x^{11}+1)}\\|=|x^{20}+x^{19}-x^{17}-x^{16}+x^{14}+x^{13}-x^{11}-x^{10}-x^9+x^7\\||+x^6-x^4-x^3+x+1\\{\large\Phi}_{67}(x)|=|\frac{x^{67}-1}{x-1}\\|=|x^{66}+x^{65}+x^{64}+x^{63}+x^{62}+x^{61}+x^{60}+x^{59}+x^{58}+x^{57}\\||+x^{56}+x^{55}+x^{54}+x^{53}+x^{52}+x^{51}+x^{50}+x^{49}+x^{48}+x^{47}\\||+x^{46}+x^{45}+x^{44}+x^{43}+x^{42}+x^{41}+x^{40}+x^{39}+x^{38}+x^{37}\\||+x^{36}+x^{35}+x^{34}+x^{33}+x^{32}+x^{31}+x^{30}+x^{29}+x^{28}+x^{27}\\||+x^{26}+x^{25}+x^{24}+x^{23}+x^{22}+x^{21}+x^{20}+x^{19}+x^{18}+x^{17}\\||+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}+x^{10}+x^9+x^8+x^7\\||+x^6+x^5+x^4+x^3+x^2+x+1\\{\large\Phi}_{68}(x)|=|\frac{x^{34}+1}{x^2+1}\\|=|x^{32}-x^{30}+x^{28}-x^{26}+x^{24}-x^{22}+x^{20}-x^{18}+x^{16}-x^{14}\\||+x^{12}-x^{10}+x^8-x^6+x^4-x^2+1\\{\large\Phi}_{69}(x)|=|\frac{(x-1)(x^{69}-1)}{(x^3-1)(x^{23}-1)}\\|=|x^{44}-x^{43}+x^{41}-x^{40}+x^{38}-x^{37}+x^{35}-x^{34}+x^{32}-x^{31}\\||+x^{29}-x^{28}+x^{26}-x^{25}+x^{23}-x^{22}+x^{21}-x^{19}+x^{18}-x^{16}\\||+x^{15}-x^{13}+x^{12}-x^{10}+x^9-x^7+x^6-x^4+x^3-x+1\\{\large\Phi}_{70}(x)|=|\frac{(x+1)(x^{35}+1)}{(x^5+1)(x^7+1)}\\|=|x^{24}+x^{23}-x^{19}-x^{18}-x^{17}-x^{16}+x^{14}+x^{13}+x^{12}+x^{11}\\||+x^{10}-x^8-x^7-x^6-x^5+x+1\\{\large\Phi}_{71}(x)|=|\frac{x^{71}-1}{x-1}\\|=|x^{70}+x^{69}+x^{68}+x^{67}+x^{66}+x^{65}+x^{64}+x^{63}+x^{62}+x^{61}\\||+x^{60}+x^{59}+x^{58}+x^{57}+x^{56}+x^{55}+x^{54}+x^{53}+x^{52}+x^{51}\\||+x^{50}+x^{49}+x^{48}+x^{47}+x^{46}+x^{45}+x^{44}+x^{43}+x^{42}+x^{41}\\||+x^{40}+x^{39}+x^{38}+x^{37}+x^{36}+x^{35}+x^{34}+x^{33}+x^{32}+x^{31}\\||+x^{30}+x^{29}+x^{28}+x^{27}+x^{26}+x^{25}+x^{24}+x^{23}+x^{22}+x^{21}\\||+x^{20}+x^{19}+x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}\\||+x^{10}+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1\\{\large\Phi}_{72}(x)|=|\frac{x^{36}+1}{x^{12}+1}\\|=|x^{24}-x^{12}+1\\{\large\Phi}_{73}(x)|=|\frac{x^{73}-1}{x-1}\\|=|x^{72}+x^{71}+x^{70}+x^{69}+x^{68}+x^{67}+x^{66}+x^{65}+x^{64}+x^{63}\\||+x^{62}+x^{61}+x^{60}+x^{59}+x^{58}+x^{57}+x^{56}+x^{55}+x^{54}+x^{53}\\||+x^{52}+x^{51}+x^{50}+x^{49}+x^{48}+x^{47}+x^{46}+x^{45}+x^{44}+x^{43}\\||+x^{42}+x^{41}+x^{40}+x^{39}+x^{38}+x^{37}+x^{36}+x^{35}+x^{34}+x^{33}\\||+x^{32}+x^{31}+x^{30}+x^{29}+x^{28}+x^{27}+x^{26}+x^{25}+x^{24}+x^{23}\\||+x^{22}+x^{21}+x^{20}+x^{19}+x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}\\||+x^{12}+x^{11}+x^{10}+x^9+x^8+x^7+x^6+x^5+x^4+x^3\\||+x^2+x+1\\{\large\Phi}_{74}(x)|=|\frac{x^{37}+1}{x+1}\\|=|x^{36}-x^{35}+x^{34}-x^{33}+x^{32}-x^{31}+x^{30}-x^{29}+x^{28}-x^{27}\\||+x^{26}-x^{25}+x^{24}-x^{23}+x^{22}-x^{21}+x^{20}-x^{19}+x^{18}-x^{17}\\||+x^{16}-x^{15}+x^{14}-x^{13}+x^{12}-x^{11}+x^{10}-x^9+x^8-x^7\\||+x^6-x^5+x^4-x^3+x^2-x+1\\{\large\Phi}_{75}(x)|=|\frac{(x^5-1)(x^{75}-1)}{(x^{15}-1)(x^{25}-1)}\\|=|x^{40}-x^{35}+x^{25}-x^{20}+x^{15}-x^5+1\\{\large\Phi}_{76}(x)|=|\frac{x^{38}+1}{x^2+1}\\|=|x^{36}-x^{34}+x^{32}-x^{30}+x^{28}-x^{26}+x^{24}-x^{22}+x^{20}-x^{18}\\||+x^{16}-x^{14}+x^{12}-x^{10}+x^8-x^6+x^4-x^2+1\\{\large\Phi}_{77}(x)|=|\frac{(x-1)(x^{77}-1)}{(x^7-1)(x^{11}-1)}\\|=|x^{60}-x^{59}+x^{53}-x^{52}+x^{49}-x^{48}+x^{46}-x^{45}+x^{42}-x^{41}\\||+x^{39}-x^{37}+x^{35}-x^{34}+x^{32}-x^{30}+x^{28}-x^{26}+x^{25}-x^{23}\\||+x^{21}-x^{19}+x^{18}-x^{15}+x^{14}-x^{12}+x^{11}-x^8+x^7-x+1\\{\large\Phi}_{78}(x)|=|\frac{(x+1)(x^{39}+1)}{(x^3+1)(x^{13}+1)}\\|=|x^{24}+x^{23}-x^{21}-x^{20}+x^{18}+x^{17}-x^{15}-x^{14}+x^{12}-x^{10}\\||-x^9+x^7+x^6-x^4-x^3+x+1\\{\large\Phi}_{79}(x)|=|\frac{x^{79}-1}{x-1}\\|=|x^{78}+x^{77}+x^{76}+x^{75}+x^{74}+x^{73}+x^{72}+x^{71}+x^{70}+x^{69}\\||+x^{68}+x^{67}+x^{66}+x^{65}+x^{64}+x^{63}+x^{62}+x^{61}+x^{60}+x^{59}\\||+x^{58}+x^{57}+x^{56}+x^{55}+x^{54}+x^{53}+x^{52}+x^{51}+x^{50}+x^{49}\\||+x^{48}+x^{47}+x^{46}+x^{45}+x^{44}+x^{43}+x^{42}+x^{41}+x^{40}+x^{39}\\||+x^{38}+x^{37}+x^{36}+x^{35}+x^{34}+x^{33}+x^{32}+x^{31}+x^{30}+x^{29}\\||+x^{28}+x^{27}+x^{26}+x^{25}+x^{24}+x^{23}+x^{22}+x^{21}+x^{20}+x^{19}\\||+x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}+x^{10}+x^9\\||+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1\\{\large\Phi}_{80}(x)|=|\frac{x^{40}+1}{x^8+1}\\|=|x^{32}-x^{24}+x^{16}-x^8+1\end{eqnarray}%%
Φ81(x)⋯Φ100(x)Φ81(x)⋯Φ100(x)
%%\begin{eqnarray}{\large\Phi}_{81}(x)|=|\frac{x^{81}-1}{x^{27}-1}\\|=|x^{54}+x^{27}+1\\{\large\Phi}_{82}(x)|=|\frac{x^{41}+1}{x+1}\\|=|x^{40}-x^{39}+x^{38}-x^{37}+x^{36}-x^{35}+x^{34}-x^{33}+x^{32}-x^{31}\\||+x^{30}-x^{29}+x^{28}-x^{27}+x^{26}-x^{25}+x^{24}-x^{23}+x^{22}-x^{21}\\||+x^{20}-x^{19}+x^{18}-x^{17}+x^{16}-x^{15}+x^{14}-x^{13}+x^{12}-x^{11}\\||+x^{10}-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1\\{\large\Phi}_{83}(x)|=|\frac{x^{83}-1}{x-1}\\|=|x^{82}+x^{81}+x^{80}+x^{79}+x^{78}+x^{77}+x^{76}+x^{75}+x^{74}+x^{73}\\||+x^{72}+x^{71}+x^{70}+x^{69}+x^{68}+x^{67}+x^{66}+x^{65}+x^{64}+x^{63}\\||+x^{62}+x^{61}+x^{60}+x^{59}+x^{58}+x^{57}+x^{56}+x^{55}+x^{54}+x^{53}\\||+x^{52}+x^{51}+x^{50}+x^{49}+x^{48}+x^{47}+x^{46}+x^{45}+x^{44}+x^{43}\\||+x^{42}+x^{41}+x^{40}+x^{39}+x^{38}+x^{37}+x^{36}+x^{35}+x^{34}+x^{33}\\||+x^{32}+x^{31}+x^{30}+x^{29}+x^{28}+x^{27}+x^{26}+x^{25}+x^{24}+x^{23}\\||+x^{22}+x^{21}+x^{20}+x^{19}+x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}\\||+x^{12}+x^{11}+x^{10}+x^9+x^8+x^7+x^6+x^5+x^4+x^3\\||+x^2+x+1\\{\large\Phi}_{84}(x)|=|\frac{(x^2+1)(x^{42}+1)}{(x^6+1)(x^{14}+1)}\\|=|x^{24}+x^{22}-x^{18}-x^{16}+x^{12}-x^8-x^6+x^2+1\\{\large\Phi}_{85}(x)|=|\frac{(x-1)(x^{85}-1)}{(x^5-1)(x^{17}-1)}\\|=|x^{64}-x^{63}+x^{59}-x^{58}+x^{54}-x^{53}+x^{49}-x^{48}+x^{47}-x^{46}\\||+x^{44}-x^{43}+x^{42}-x^{41}+x^{39}-x^{38}+x^{37}-x^{36}+x^{34}-x^{33}\\||+x^{32}-x^{31}+x^{30}-x^{28}+x^{27}-x^{26}+x^{25}-x^{23}+x^{22}-x^{21}\\||+x^{20}-x^{18}+x^{17}-x^{16}+x^{15}-x^{11}+x^{10}-x^6+x^5-x+1\\{\large\Phi}_{86}(x)|=|\frac{x^{43}+1}{x+1}\\|=|x^{42}-x^{41}+x^{40}-x^{39}+x^{38}-x^{37}+x^{36}-x^{35}+x^{34}-x^{33}\\||+x^{32}-x^{31}+x^{30}-x^{29}+x^{28}-x^{27}+x^{26}-x^{25}+x^{24}-x^{23}\\||+x^{22}-x^{21}+x^{20}-x^{19}+x^{18}-x^{17}+x^{16}-x^{15}+x^{14}-x^{13}\\||+x^{12}-x^{11}+x^{10}-x^9+x^8-x^7+x^6-x^5+x^4-x^3\\||+x^2-x+1\\{\large\Phi}_{87}(x)|=|\frac{(x-1)(x^{87}-1)}{(x^3-1)(x^{29}-1)}\\|=|x^{56}-x^{55}+x^{53}-x^{52}+x^{50}-x^{49}+x^{47}-x^{46}+x^{44}-x^{43}\\||+x^{41}-x^{40}+x^{38}-x^{37}+x^{35}-x^{34}+x^{32}-x^{31}+x^{29}-x^{28}\\||+x^{27}-x^{25}+x^{24}-x^{22}+x^{21}-x^{19}+x^{18}-x^{16}+x^{15}-x^{13}\\||+x^{12}-x^{10}+x^9-x^7+x^6-x^4+x^3-x+1\\{\large\Phi}_{88}(x)|=|\frac{x^{44}+1}{x^4+1}\\|=|x^{40}-x^{36}+x^{32}-x^{28}+x^{24}-x^{20}+x^{16}-x^{12}+x^8-x^4+1\\{\large\Phi}_{89}(x)|=|\frac{x^{89}-1}{x-1}\\|=|x^{88}+x^{87}+x^{86}+x^{85}+x^{84}+x^{83}+x^{82}+x^{81}+x^{80}+x^{79}\\||+x^{78}+x^{77}+x^{76}+x^{75}+x^{74}+x^{73}+x^{72}+x^{71}+x^{70}+x^{69}\\||+x^{68}+x^{67}+x^{66}+x^{65}+x^{64}+x^{63}+x^{62}+x^{61}+x^{60}+x^{59}\\||+x^{58}+x^{57}+x^{56}+x^{55}+x^{54}+x^{53}+x^{52}+x^{51}+x^{50}+x^{49}\\||+x^{48}+x^{47}+x^{46}+x^{45}+x^{44}+x^{43}+x^{42}+x^{41}+x^{40}+x^{39}\\||+x^{38}+x^{37}+x^{36}+x^{35}+x^{34}+x^{33}+x^{32}+x^{31}+x^{30}+x^{29}\\||+x^{28}+x^{27}+x^{26}+x^{25}+x^{24}+x^{23}+x^{22}+x^{21}+x^{20}+x^{19}\\||+x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}+x^{10}+x^9\\||+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1\\{\large\Phi}_{90}(x)|=|\frac{(x^3+1)(x^{45}+1)}{(x^9+1)(x^{15}+1)}\\|=|x^{24}+x^{21}-x^{15}-x^{12}-x^9+x^3+1\\{\large\Phi}_{91}(x)|=|\frac{(x-1)(x^{91}-1)}{(x^7-1)(x^{13}-1)}\\|=|x^{72}-x^{71}+x^{65}-x^{64}+x^{59}-x^{57}+x^{52}-x^{50}+x^{46}-x^{43}\\||+x^{39}-x^{36}+x^{33}-x^{29}+x^{26}-x^{22}+x^{20}-x^{15}+x^{13}-x^8\\||+x^7-x+1\\{\large\Phi}_{92}(x)|=|\frac{x^{46}+1}{x^2+1}\\|=|x^{44}-x^{42}+x^{40}-x^{38}+x^{36}-x^{34}+x^{32}-x^{30}+x^{28}-x^{26}\\||+x^{24}-x^{22}+x^{20}-x^{18}+x^{16}-x^{14}+x^{12}-x^{10}+x^8-x^6\\||+x^4-x^2+1\\{\large\Phi}_{93}(x)|=|\frac{(x-1)(x^{93}-1)}{(x^3-1)(x^{31}-1)}\\|=|x^{60}-x^{59}+x^{57}-x^{56}+x^{54}-x^{53}+x^{51}-x^{50}+x^{48}-x^{47}\\||+x^{45}-x^{44}+x^{42}-x^{41}+x^{39}-x^{38}+x^{36}-x^{35}+x^{33}-x^{32}\\||+x^{30}-x^{28}+x^{27}-x^{25}+x^{24}-x^{22}+x^{21}-x^{19}+x^{18}-x^{16}\\||+x^{15}-x^{13}+x^{12}-x^{10}+x^9-x^7+x^6-x^4+x^3-x+1\\{\large\Phi}_{94}(x)|=|\frac{x^{47}+1}{x+1}\\|=|x^{46}-x^{45}+x^{44}-x^{43}+x^{42}-x^{41}+x^{40}-x^{39}+x^{38}-x^{37}\\||+x^{36}-x^{35}+x^{34}-x^{33}+x^{32}-x^{31}+x^{30}-x^{29}+x^{28}-x^{27}\\||+x^{26}-x^{25}+x^{24}-x^{23}+x^{22}-x^{21}+x^{20}-x^{19}+x^{18}-x^{17}\\||+x^{16}-x^{15}+x^{14}-x^{13}+x^{12}-x^{11}+x^{10}-x^9+x^8-x^7\\||+x^6-x^5+x^4-x^3+x^2-x+1\\{\large\Phi}_{95}(x)|=|\frac{(x-1)(x^{95}-1)}{(x^5-1)(x^{19}-1)}\\|=|x^{72}-x^{71}+x^{67}-x^{66}+x^{62}-x^{61}+x^{57}-x^{56}+x^{53}-x^{51}\\||+x^{48}-x^{46}+x^{43}-x^{41}+x^{38}-x^{36}+x^{34}-x^{31}+x^{29}-x^{26}\\||+x^{24}-x^{21}+x^{19}-x^{16}+x^{15}-x^{11}+x^{10}-x^6+x^5-x+1\\{\large\Phi}_{96}(x)|=|\frac{x^{48}+1}{x^{16}+1}\\|=|x^{32}-x^{16}+1\\{\large\Phi}_{97}(x)|=|\frac{x^{97}-1}{x-1}\\|=|x^{96}+x^{95}+x^{94}+x^{93}+x^{92}+x^{91}+x^{90}+x^{89}+x^{88}+x^{87}\\||+x^{86}+x^{85}+x^{84}+x^{83}+x^{82}+x^{81}+x^{80}+x^{79}+x^{78}+x^{77}\\||+x^{76}+x^{75}+x^{74}+x^{73}+x^{72}+x^{71}+x^{70}+x^{69}+x^{68}+x^{67}\\||+x^{66}+x^{65}+x^{64}+x^{63}+x^{62}+x^{61}+x^{60}+x^{59}+x^{58}+x^{57}\\||+x^{56}+x^{55}+x^{54}+x^{53}+x^{52}+x^{51}+x^{50}+x^{49}+x^{48}+x^{47}\\||+x^{46}+x^{45}+x^{44}+x^{43}+x^{42}+x^{41}+x^{40}+x^{39}+x^{38}+x^{37}\\||+x^{36}+x^{35}+x^{34}+x^{33}+x^{32}+x^{31}+x^{30}+x^{29}+x^{28}+x^{27}\\||+x^{26}+x^{25}+x^{24}+x^{23}+x^{22}+x^{21}+x^{20}+x^{19}+x^{18}+x^{17}\\||+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}+x^{10}+x^9+x^8+x^7\\||+x^6+x^5+x^4+x^3+x^2+x+1\\{\large\Phi}_{98}(x)|=|\frac{x^{49}+1}{x^7+1}\\|=|x^{42}-x^{35}+x^{28}-x^{21}+x^{14}-x^7+1\\{\large\Phi}_{99}(x)|=|\frac{(x^3-1)(x^{99}-1)}{(x^9-1)(x^{33}-1)}\\|=|x^{60}-x^{57}+x^{51}-x^{48}+x^{42}-x^{39}+x^{33}-x^{30}+x^{27}-x^{21}\\||+x^{18}-x^{12}+x^9-x^3+1\\{\large\Phi}_{100}(x)|=|\frac{x^{50}+1}{x^{10}+1}\\|=|x^{40}-x^{30}+x^{20}-x^{10}+1\end{eqnarray}%%
Φ101(x)⋯Φ120(x)Φ101(x)⋯Φ120(x)
%%\begin{eqnarray}{\large\Phi}_{101}(x)|=|\frac{x^{101}-1}{x-1}\\|=|x^{100}+x^{99}+x^{98}+x^{97}+x^{96}+x^{95}+x^{94}+x^{93}+x^{92}+x^{91}\\||+x^{90}+x^{89}+x^{88}+x^{87}+x^{86}+x^{85}+x^{84}+x^{83}+x^{82}+x^{81}\\||+x^{80}+x^{79}+x^{78}+x^{77}+x^{76}+x^{75}+x^{74}+x^{73}+x^{72}+x^{71}\\||+x^{70}+x^{69}+x^{68}+x^{67}+x^{66}+x^{65}+x^{64}+x^{63}+x^{62}+x^{61}\\||+x^{60}+x^{59}+x^{58}+x^{57}+x^{56}+x^{55}+x^{54}+x^{53}+x^{52}+x^{51}\\||+x^{50}+x^{49}+x^{48}+x^{47}+x^{46}+x^{45}+x^{44}+x^{43}+x^{42}+x^{41}\\||+x^{40}+x^{39}+x^{38}+x^{37}+x^{36}+x^{35}+x^{34}+x^{33}+x^{32}+x^{31}\\||+x^{30}+x^{29}+x^{28}+x^{27}+x^{26}+x^{25}+x^{24}+x^{23}+x^{22}+x^{21}\\||+x^{20}+x^{19}+x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}\\||+x^{10}+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1\\{\large\Phi}_{102}(x)|=|\frac{(x+1)(x^{51}+1)}{(x^3+1)(x^{17}+1)}\\|=|x^{32}+x^{31}-x^{29}-x^{28}+x^{26}+x^{25}-x^{23}-x^{22}+x^{20}+x^{19}\\||-x^{17}-x^{16}-x^{15}+x^{13}+x^{12}-x^{10}-x^9+x^7+x^6-x^4\\||-x^3+x+1\\{\large\Phi}_{103}(x)|=|\frac{x^{103}-1}{x-1}\\|=|x^{102}+x^{101}+x^{100}+x^{99}+x^{98}+x^{97}+x^{96}+x^{95}+x^{94}+x^{93}\\||+x^{92}+x^{91}+x^{90}+x^{89}+x^{88}+x^{87}+x^{86}+x^{85}+x^{84}+x^{83}\\||+x^{82}+x^{81}+x^{80}+x^{79}+x^{78}+x^{77}+x^{76}+x^{75}+x^{74}+x^{73}\\||+x^{72}+x^{71}+x^{70}+x^{69}+x^{68}+x^{67}+x^{66}+x^{65}+x^{64}+x^{63}\\||+x^{62}+x^{61}+x^{60}+x^{59}+x^{58}+x^{57}+x^{56}+x^{55}+x^{54}+x^{53}\\||+x^{52}+x^{51}+x^{50}+x^{49}+x^{48}+x^{47}+x^{46}+x^{45}+x^{44}+x^{43}\\||+x^{42}+x^{41}+x^{40}+x^{39}+x^{38}+x^{37}+x^{36}+x^{35}+x^{34}+x^{33}\\||+x^{32}+x^{31}+x^{30}+x^{29}+x^{28}+x^{27}+x^{26}+x^{25}+x^{24}+x^{23}\\||+x^{22}+x^{21}+x^{20}+x^{19}+x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}\\||+x^{12}+x^{11}+x^{10}+x^9+x^8+x^7+x^6+x^5+x^4+x^3\\||+x^2+x+1\\{\large\Phi}_{104}(x)|=|\frac{x^{52}+1}{x^4+1}\\|=|x^{48}-x^{44}+x^{40}-x^{36}+x^{32}-x^{28}+x^{24}-x^{20}+x^{16}-x^{12}\\||+x^8-x^4+1\\{\large\Phi}_{105}(x)|=|\frac{(x^3-1)(x^5-1)(x^7-1)(x^{105}-1)}{(x-1)(x^{15}-1)(x^{21}-1)(x^{35}-1)}\\|=|x^{48}+x^{47}+x^{46}-x^{43}-x^{42}-2x^{41}-x^{40}-x^{39}+x^{36}+x^{35}\\||+x^{34}+x^{33}+x^{32}+x^{31}-x^{28}-x^{26}-x^{24}-x^{22}-x^{20}+x^{17}\\||+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}-x^9-x^8-2x^7-x^6-x^5\\||+x^2+x+1\\{\large\Phi}_{106}(x)|=|\frac{x^{53}+1}{x+1}\\|=|x^{52}-x^{51}+x^{50}-x^{49}+x^{48}-x^{47}+x^{46}-x^{45}+x^{44}-x^{43}\\||+x^{42}-x^{41}+x^{40}-x^{39}+x^{38}-x^{37}+x^{36}-x^{35}+x^{34}-x^{33}\\||+x^{32}-x^{31}+x^{30}-x^{29}+x^{28}-x^{27}+x^{26}-x^{25}+x^{24}-x^{23}\\||+x^{22}-x^{21}+x^{20}-x^{19}+x^{18}-x^{17}+x^{16}-x^{15}+x^{14}-x^{13}\\||+x^{12}-x^{11}+x^{10}-x^9+x^8-x^7+x^6-x^5+x^4-x^3\\||+x^2-x+1\\{\large\Phi}_{107}(x)|=|\frac{x^{107}-1}{x-1}\\|=|x^{106}+x^{105}+x^{104}+x^{103}+x^{102}+x^{101}+x^{100}+x^{99}+x^{98}+x^{97}\\||+x^{96}+x^{95}+x^{94}+x^{93}+x^{92}+x^{91}+x^{90}+x^{89}+x^{88}+x^{87}\\||+x^{86}+x^{85}+x^{84}+x^{83}+x^{82}+x^{81}+x^{80}+x^{79}+x^{78}+x^{77}\\||+x^{76}+x^{75}+x^{74}+x^{73}+x^{72}+x^{71}+x^{70}+x^{69}+x^{68}+x^{67}\\||+x^{66}+x^{65}+x^{64}+x^{63}+x^{62}+x^{61}+x^{60}+x^{59}+x^{58}+x^{57}\\||+x^{56}+x^{55}+x^{54}+x^{53}+x^{52}+x^{51}+x^{50}+x^{49}+x^{48}+x^{47}\\||+x^{46}+x^{45}+x^{44}+x^{43}+x^{42}+x^{41}+x^{40}+x^{39}+x^{38}+x^{37}\\||+x^{36}+x^{35}+x^{34}+x^{33}+x^{32}+x^{31}+x^{30}+x^{29}+x^{28}+x^{27}\\||+x^{26}+x^{25}+x^{24}+x^{23}+x^{22}+x^{21}+x^{20}+x^{19}+x^{18}+x^{17}\\||+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}+x^{10}+x^9+x^8+x^7\\||+x^6+x^5+x^4+x^3+x^2+x+1\\{\large\Phi}_{108}(x)|=|\frac{x^{54}+1}{x^{18}+1}\\|=|x^{36}-x^{18}+1\\{\large\Phi}_{109}(x)|=|\frac{x^{109}-1}{x-1}\\|=|x^{108}+x^{107}+x^{106}+x^{105}+x^{104}+x^{103}+x^{102}+x^{101}+x^{100}+x^{99}\\||+x^{98}+x^{97}+x^{96}+x^{95}+x^{94}+x^{93}+x^{92}+x^{91}+x^{90}+x^{89}\\||+x^{88}+x^{87}+x^{86}+x^{85}+x^{84}+x^{83}+x^{82}+x^{81}+x^{80}+x^{79}\\||+x^{78}+x^{77}+x^{76}+x^{75}+x^{74}+x^{73}+x^{72}+x^{71}+x^{70}+x^{69}\\||+x^{68}+x^{67}+x^{66}+x^{65}+x^{64}+x^{63}+x^{62}+x^{61}+x^{60}+x^{59}\\||+x^{58}+x^{57}+x^{56}+x^{55}+x^{54}+x^{53}+x^{52}+x^{51}+x^{50}+x^{49}\\||+x^{48}+x^{47}+x^{46}+x^{45}+x^{44}+x^{43}+x^{42}+x^{41}+x^{40}+x^{39}\\||+x^{38}+x^{37}+x^{36}+x^{35}+x^{34}+x^{33}+x^{32}+x^{31}+x^{30}+x^{29}\\||+x^{28}+x^{27}+x^{26}+x^{25}+x^{24}+x^{23}+x^{22}+x^{21}+x^{20}+x^{19}\\||+x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}+x^{10}+x^9\\||+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1\\{\large\Phi}_{110}(x)|=|\frac{(x+1)(x^{55}+1)}{(x^5+1)(x^{11}+1)}\\|=|x^{40}+x^{39}-x^{35}-x^{34}+x^{30}-x^{28}-x^{25}+x^{23}+x^{20}+x^{17}\\||-x^{15}-x^{12}+x^{10}-x^6-x^5+x+1\\{\large\Phi}_{111}(x)|=|\frac{(x-1)(x^{111}-1)}{(x^3-1)(x^{37}-1)}\\|=|x^{72}-x^{71}+x^{69}-x^{68}+x^{66}-x^{65}+x^{63}-x^{62}+x^{60}-x^{59}\\||+x^{57}-x^{56}+x^{54}-x^{53}+x^{51}-x^{50}+x^{48}-x^{47}+x^{45}-x^{44}\\||+x^{42}-x^{41}+x^{39}-x^{38}+x^{36}-x^{34}+x^{33}-x^{31}+x^{30}-x^{28}\\||+x^{27}-x^{25}+x^{24}-x^{22}+x^{21}-x^{19}+x^{18}-x^{16}+x^{15}-x^{13}\\||+x^{12}-x^{10}+x^9-x^7+x^6-x^4+x^3-x+1\\{\large\Phi}_{112}(x)|=|\frac{x^{56}+1}{x^8+1}\\|=|x^{48}-x^{40}+x^{32}-x^{24}+x^{16}-x^8+1\\{\large\Phi}_{113}(x)|=|\frac{x^{113}-1}{x-1}\\|=|x^{112}+x^{111}+x^{110}+x^{109}+x^{108}+x^{107}+x^{106}+x^{105}+x^{104}+x^{103}\\||+x^{102}+x^{101}+x^{100}+x^{99}+x^{98}+x^{97}+x^{96}+x^{95}+x^{94}+x^{93}\\||+x^{92}+x^{91}+x^{90}+x^{89}+x^{88}+x^{87}+x^{86}+x^{85}+x^{84}+x^{83}\\||+x^{82}+x^{81}+x^{80}+x^{79}+x^{78}+x^{77}+x^{76}+x^{75}+x^{74}+x^{73}\\||+x^{72}+x^{71}+x^{70}+x^{69}+x^{68}+x^{67}+x^{66}+x^{65}+x^{64}+x^{63}\\||+x^{62}+x^{61}+x^{60}+x^{59}+x^{58}+x^{57}+x^{56}+x^{55}+x^{54}+x^{53}\\||+x^{52}+x^{51}+x^{50}+x^{49}+x^{48}+x^{47}+x^{46}+x^{45}+x^{44}+x^{43}\\||+x^{42}+x^{41}+x^{40}+x^{39}+x^{38}+x^{37}+x^{36}+x^{35}+x^{34}+x^{33}\\||+x^{32}+x^{31}+x^{30}+x^{29}+x^{28}+x^{27}+x^{26}+x^{25}+x^{24}+x^{23}\\||+x^{22}+x^{21}+x^{20}+x^{19}+x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}\\||+x^{12}+x^{11}+x^{10}+x^9+x^8+x^7+x^6+x^5+x^4+x^3\\||+x^2+x+1\\{\large\Phi}_{114}(x)|=|\frac{(x+1)(x^{57}+1)}{(x^3+1)(x^{19}+1)}\\|=|x^{36}+x^{35}-x^{33}-x^{32}+x^{30}+x^{29}-x^{27}-x^{26}+x^{24}+x^{23}\\||-x^{21}-x^{20}+x^{18}-x^{16}-x^{15}+x^{13}+x^{12}-x^{10}-x^9+x^7\\||+x^6-x^4-x^3+x+1\\{\large\Phi}_{115}(x)|=|\frac{(x-1)(x^{115}-1)}{(x^5-1)(x^{23}-1)}\\|=|x^{88}-x^{87}+x^{83}-x^{82}+x^{78}-x^{77}+x^{73}-x^{72}+x^{68}-x^{67}\\||+x^{65}-x^{64}+x^{63}-x^{62}+x^{60}-x^{59}+x^{58}-x^{57}+x^{55}-x^{54}\\||+x^{53}-x^{52}+x^{50}-x^{49}+x^{48}-x^{47}+x^{45}-x^{44}+x^{43}-x^{41}\\||+x^{40}-x^{39}+x^{38}-x^{36}+x^{35}-x^{34}+x^{33}-x^{31}+x^{30}-x^{29}\\||+x^{28}-x^{26}+x^{25}-x^{24}+x^{23}-x^{21}+x^{20}-x^{16}+x^{15}-x^{11}\\||+x^{10}-x^6+x^5-x+1\\{\large\Phi}_{116}(x)|=|\frac{x^{58}+1}{x^2+1}\\|=|x^{56}-x^{54}+x^{52}-x^{50}+x^{48}-x^{46}+x^{44}-x^{42}+x^{40}-x^{38}\\||+x^{36}-x^{34}+x^{32}-x^{30}+x^{28}-x^{26}+x^{24}-x^{22}+x^{20}-x^{18}\\||+x^{16}-x^{14}+x^{12}-x^{10}+x^8-x^6+x^4-x^2+1\\{\large\Phi}_{117}(x)|=|\frac{(x^3-1)(x^{117}-1)}{(x^9-1)(x^{39}-1)}\\|=|x^{72}-x^{69}+x^{63}-x^{60}+x^{54}-x^{51}+x^{45}-x^{42}+x^{36}-x^{30}\\||+x^{27}-x^{21}+x^{18}-x^{12}+x^9-x^3+1\\{\large\Phi}_{118}(x)|=|\frac{x^{59}+1}{x+1}\\|=|x^{58}-x^{57}+x^{56}-x^{55}+x^{54}-x^{53}+x^{52}-x^{51}+x^{50}-x^{49}\\||+x^{48}-x^{47}+x^{46}-x^{45}+x^{44}-x^{43}+x^{42}-x^{41}+x^{40}-x^{39}\\||+x^{38}-x^{37}+x^{36}-x^{35}+x^{34}-x^{33}+x^{32}-x^{31}+x^{30}-x^{29}\\||+x^{28}-x^{27}+x^{26}-x^{25}+x^{24}-x^{23}+x^{22}-x^{21}+x^{20}-x^{19}\\||+x^{18}-x^{17}+x^{16}-x^{15}+x^{14}-x^{13}+x^{12}-x^{11}+x^{10}-x^9\\||+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1\\{\large\Phi}_{119}(x)|=|\frac{(x-1)(x^{119}-1)}{(x^7-1)(x^{17}-1)}\\|=|x^{96}-x^{95}+x^{89}-x^{88}+x^{82}-x^{81}+x^{79}-x^{78}+x^{75}-x^{74}\\||+x^{72}-x^{71}+x^{68}-x^{67}+x^{65}-x^{64}+x^{62}-x^{60}+x^{58}-x^{57}\\||+x^{55}-x^{53}+x^{51}-x^{50}+x^{48}-x^{46}+x^{45}-x^{43}+x^{41}-x^{39}\\||+x^{38}-x^{36}+x^{34}-x^{32}+x^{31}-x^{29}+x^{28}-x^{25}+x^{24}-x^{22}\\||+x^{21}-x^{18}+x^{17}-x^{15}+x^{14}-x^8+x^7-x+1\\{\large\Phi}_{120}(x)|=|\frac{(x^4+1)(x^{60}+1)}{(x^{12}+1)(x^{20}+1)}\\|=|x^{32}+x^{28}-x^{20}-x^{16}-x^{12}+x^4+1\end{eqnarray}%%
Φ121(x)⋯Φ140(x)Φ121(x)⋯Φ140(x)
%%\begin{eqnarray}{\large\Phi}_{121}(x)|=|\frac{x^{121}-1}{x^{11}-1}\\|=|x^{110}+x^{99}+x^{88}+x^{77}+x^{66}+x^{55}+x^{44}+x^{33}+x^{22}+x^{11}+1\\{\large\Phi}_{122}(x)|=|\frac{x^{61}+1}{x+1}\\|=|x^{60}-x^{59}+x^{58}-x^{57}+x^{56}-x^{55}+x^{54}-x^{53}+x^{52}-x^{51}\\||+x^{50}-x^{49}+x^{48}-x^{47}+x^{46}-x^{45}+x^{44}-x^{43}+x^{42}-x^{41}\\||+x^{40}-x^{39}+x^{38}-x^{37}+x^{36}-x^{35}+x^{34}-x^{33}+x^{32}-x^{31}\\||+x^{30}-x^{29}+x^{28}-x^{27}+x^{26}-x^{25}+x^{24}-x^{23}+x^{22}-x^{21}\\||+x^{20}-x^{19}+x^{18}-x^{17}+x^{16}-x^{15}+x^{14}-x^{13}+x^{12}-x^{11}\\||+x^{10}-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1\\{\large\Phi}_{123}(x)|=|\frac{(x-1)(x^{123}-1)}{(x^3-1)(x^{41}-1)}\\|=|x^{80}-x^{79}+x^{77}-x^{76}+x^{74}-x^{73}+x^{71}-x^{70}+x^{68}-x^{67}\\||+x^{65}-x^{64}+x^{62}-x^{61}+x^{59}-x^{58}+x^{56}-x^{55}+x^{53}-x^{52}\\||+x^{50}-x^{49}+x^{47}-x^{46}+x^{44}-x^{43}+x^{41}-x^{40}+x^{39}-x^{37}\\||+x^{36}-x^{34}+x^{33}-x^{31}+x^{30}-x^{28}+x^{27}-x^{25}+x^{24}-x^{22}\\||+x^{21}-x^{19}+x^{18}-x^{16}+x^{15}-x^{13}+x^{12}-x^{10}+x^9-x^7\\||+x^6-x^4+x^3-x+1\\{\large\Phi}_{124}(x)|=|\frac{x^{62}+1}{x^2+1}\\|=|x^{60}-x^{58}+x^{56}-x^{54}+x^{52}-x^{50}+x^{48}-x^{46}+x^{44}-x^{42}\\||+x^{40}-x^{38}+x^{36}-x^{34}+x^{32}-x^{30}+x^{28}-x^{26}+x^{24}-x^{22}\\||+x^{20}-x^{18}+x^{16}-x^{14}+x^{12}-x^{10}+x^8-x^6+x^4-x^2+1\\{\large\Phi}_{125}(x)|=|\frac{x^{125}-1}{x^{25}-1}\\|=|x^{100}+x^{75}+x^{50}+x^{25}+1\\{\large\Phi}_{126}(x)|=|\frac{(x^3+1)(x^{63}+1)}{(x^9+1)(x^{21}+1)}\\|=|x^{36}+x^{33}-x^{27}-x^{24}+x^{18}-x^{12}-x^9+x^3+1\\{\large\Phi}_{127}(x)|=|\frac{x^{127}-1}{x-1}\\|=|x^{126}+x^{125}+x^{124}+x^{123}+x^{122}+x^{121}+x^{120}+x^{119}+x^{118}+x^{117}\\||+x^{116}+x^{115}+x^{114}+x^{113}+x^{112}+x^{111}+x^{110}+x^{109}+x^{108}+x^{107}\\||+x^{106}+x^{105}+x^{104}+x^{103}+x^{102}+x^{101}+x^{100}+x^{99}+x^{98}+x^{97}\\||+x^{96}+x^{95}+x^{94}+x^{93}+x^{92}+x^{91}+x^{90}+x^{89}+x^{88}+x^{87}\\||+x^{86}+x^{85}+x^{84}+x^{83}+x^{82}+x^{81}+x^{80}+x^{79}+x^{78}+x^{77}\\||+x^{76}+x^{75}+x^{74}+x^{73}+x^{72}+x^{71}+x^{70}+x^{69}+x^{68}+x^{67}\\||+x^{66}+x^{65}+x^{64}+x^{63}+x^{62}+x^{61}+x^{60}+x^{59}+x^{58}+x^{57}\\||+x^{56}+x^{55}+x^{54}+x^{53}+x^{52}+x^{51}+x^{50}+x^{49}+x^{48}+x^{47}\\||+x^{46}+x^{45}+x^{44}+x^{43}+x^{42}+x^{41}+x^{40}+x^{39}+x^{38}+x^{37}\\||+x^{36}+x^{35}+x^{34}+x^{33}+x^{32}+x^{31}+x^{30}+x^{29}+x^{28}+x^{27}\\||+x^{26}+x^{25}+x^{24}+x^{23}+x^{22}+x^{21}+x^{20}+x^{19}+x^{18}+x^{17}\\||+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}+x^{10}+x^9+x^8+x^7\\||+x^6+x^5+x^4+x^3+x^2+x+1\\{\large\Phi}_{128}(x)|=|x^{64}+1\\{\large\Phi}_{129}(x)|=|\frac{(x-1)(x^{129}-1)}{(x^3-1)(x^{43}-1)}\\|=|x^{84}-x^{83}+x^{81}-x^{80}+x^{78}-x^{77}+x^{75}-x^{74}+x^{72}-x^{71}\\||+x^{69}-x^{68}+x^{66}-x^{65}+x^{63}-x^{62}+x^{60}-x^{59}+x^{57}-x^{56}\\||+x^{54}-x^{53}+x^{51}-x^{50}+x^{48}-x^{47}+x^{45}-x^{44}+x^{42}-x^{40}\\||+x^{39}-x^{37}+x^{36}-x^{34}+x^{33}-x^{31}+x^{30}-x^{28}+x^{27}-x^{25}\\||+x^{24}-x^{22}+x^{21}-x^{19}+x^{18}-x^{16}+x^{15}-x^{13}+x^{12}-x^{10}\\||+x^9-x^7+x^6-x^4+x^3-x+1\\{\large\Phi}_{130}(x)|=|\frac{(x+1)(x^{65}+1)}{(x^5+1)(x^{13}+1)}\\|=|x^{48}+x^{47}-x^{43}-x^{42}+x^{38}+x^{37}-x^{35}-x^{34}-x^{33}-x^{32}\\||+x^{30}+x^{29}+x^{28}+x^{27}-x^{25}-x^{24}-x^{23}+x^{21}+x^{20}+x^{19}\\||+x^{18}-x^{16}-x^{15}-x^{14}-x^{13}+x^{11}+x^{10}-x^6-x^5+x+1\\{\large\Phi}_{131}(x)|=|\frac{x^{131}-1}{x-1}\\|=|x^{130}+x^{129}+x^{128}+x^{127}+x^{126}+x^{125}+x^{124}+x^{123}+x^{122}+x^{121}\\||+x^{120}+x^{119}+x^{118}+x^{117}+x^{116}+x^{115}+x^{114}+x^{113}+x^{112}+x^{111}\\||+x^{110}+x^{109}+x^{108}+x^{107}+x^{106}+x^{105}+x^{104}+x^{103}+x^{102}+x^{101}\\||+x^{100}+x^{99}+x^{98}+x^{97}+x^{96}+x^{95}+x^{94}+x^{93}+x^{92}+x^{91}\\||+x^{90}+x^{89}+x^{88}+x^{87}+x^{86}+x^{85}+x^{84}+x^{83}+x^{82}+x^{81}\\||+x^{80}+x^{79}+x^{78}+x^{77}+x^{76}+x^{75}+x^{74}+x^{73}+x^{72}+x^{71}\\||+x^{70}+x^{69}+x^{68}+x^{67}+x^{66}+x^{65}+x^{64}+x^{63}+x^{62}+x^{61}\\||+x^{60}+x^{59}+x^{58}+x^{57}+x^{56}+x^{55}+x^{54}+x^{53}+x^{52}+x^{51}\\||+x^{50}+x^{49}+x^{48}+x^{47}+x^{46}+x^{45}+x^{44}+x^{43}+x^{42}+x^{41}\\||+x^{40}+x^{39}+x^{38}+x^{37}+x^{36}+x^{35}+x^{34}+x^{33}+x^{32}+x^{31}\\||+x^{30}+x^{29}+x^{28}+x^{27}+x^{26}+x^{25}+x^{24}+x^{23}+x^{22}+x^{21}\\||+x^{20}+x^{19}+x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}\\||+x^{10}+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1\\{\large\Phi}_{132}(x)|=|\frac{(x^2+1)(x^{66}+1)}{(x^6+1)(x^{22}+1)}\\|=|x^{40}+x^{38}-x^{34}-x^{32}+x^{28}+x^{26}-x^{22}-x^{20}-x^{18}+x^{14}\\||+x^{12}-x^8-x^6+x^2+1\\{\large\Phi}_{133}(x)|=|\frac{(x-1)(x^{133}-1)}{(x^7-1)(x^{19}-1)}\\|=|x^{108}-x^{107}+x^{101}-x^{100}+x^{94}-x^{93}+x^{89}-x^{88}+x^{87}-x^{86}\\||+x^{82}-x^{81}+x^{80}-x^{79}+x^{75}-x^{74}+x^{73}-x^{72}+x^{70}-x^{69}\\||+x^{68}-x^{67}+x^{66}-x^{65}+x^{63}-x^{62}+x^{61}-x^{60}+x^{59}-x^{58}\\||+x^{56}-x^{55}+x^{54}-x^{53}+x^{52}-x^{50}+x^{49}-x^{48}+x^{47}-x^{46}\\||+x^{45}-x^{43}+x^{42}-x^{41}+x^{40}-x^{39}+x^{38}-x^{36}+x^{35}-x^{34}\\||+x^{33}-x^{29}+x^{28}-x^{27}+x^{26}-x^{22}+x^{21}-x^{20}+x^{19}-x^{15}\\||+x^{14}-x^8+x^7-x+1\\{\large\Phi}_{134}(x)|=|\frac{x^{67}+1}{x+1}\\|=|x^{66}-x^{65}+x^{64}-x^{63}+x^{62}-x^{61}+x^{60}-x^{59}+x^{58}-x^{57}\\||+x^{56}-x^{55}+x^{54}-x^{53}+x^{52}-x^{51}+x^{50}-x^{49}+x^{48}-x^{47}\\||+x^{46}-x^{45}+x^{44}-x^{43}+x^{42}-x^{41}+x^{40}-x^{39}+x^{38}-x^{37}\\||+x^{36}-x^{35}+x^{34}-x^{33}+x^{32}-x^{31}+x^{30}-x^{29}+x^{28}-x^{27}\\||+x^{26}-x^{25}+x^{24}-x^{23}+x^{22}-x^{21}+x^{20}-x^{19}+x^{18}-x^{17}\\||+x^{16}-x^{15}+x^{14}-x^{13}+x^{12}-x^{11}+x^{10}-x^9+x^8-x^7\\||+x^6-x^5+x^4-x^3+x^2-x+1\\{\large\Phi}_{135}(x)|=|\frac{(x^9-1)(x^{135}-1)}{(x^{27}-1)(x^{45}-1)}\\|=|x^{72}-x^{63}+x^{45}-x^{36}+x^{27}-x^9+1\\{\large\Phi}_{136}(x)|=|\frac{x^{68}+1}{x^4+1}\\|=|x^{64}-x^{60}+x^{56}-x^{52}+x^{48}-x^{44}+x^{40}-x^{36}+x^{32}-x^{28}\\||+x^{24}-x^{20}+x^{16}-x^{12}+x^8-x^4+1\\{\large\Phi}_{137}(x)|=|\frac{x^{137}-1}{x-1}\\|=|x^{136}+x^{135}+x^{134}+x^{133}+x^{132}+x^{131}+x^{130}+x^{129}+x^{128}+x^{127}\\||+x^{126}+x^{125}+x^{124}+x^{123}+x^{122}+x^{121}+x^{120}+x^{119}+x^{118}+x^{117}\\||+x^{116}+x^{115}+x^{114}+x^{113}+x^{112}+x^{111}+x^{110}+x^{109}+x^{108}+x^{107}\\||+x^{106}+x^{105}+x^{104}+x^{103}+x^{102}+x^{101}+x^{100}+x^{99}+x^{98}+x^{97}\\||+x^{96}+x^{95}+x^{94}+x^{93}+x^{92}+x^{91}+x^{90}+x^{89}+x^{88}+x^{87}\\||+x^{86}+x^{85}+x^{84}+x^{83}+x^{82}+x^{81}+x^{80}+x^{79}+x^{78}+x^{77}\\||+x^{76}+x^{75}+x^{74}+x^{73}+x^{72}+x^{71}+x^{70}+x^{69}+x^{68}+x^{67}\\||+x^{66}+x^{65}+x^{64}+x^{63}+x^{62}+x^{61}+x^{60}+x^{59}+x^{58}+x^{57}\\||+x^{56}+x^{55}+x^{54}+x^{53}+x^{52}+x^{51}+x^{50}+x^{49}+x^{48}+x^{47}\\||+x^{46}+x^{45}+x^{44}+x^{43}+x^{42}+x^{41}+x^{40}+x^{39}+x^{38}+x^{37}\\||+x^{36}+x^{35}+x^{34}+x^{33}+x^{32}+x^{31}+x^{30}+x^{29}+x^{28}+x^{27}\\||+x^{26}+x^{25}+x^{24}+x^{23}+x^{22}+x^{21}+x^{20}+x^{19}+x^{18}+x^{17}\\||+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}+x^{10}+x^9+x^8+x^7\\||+x^6+x^5+x^4+x^3+x^2+x+1\\{\large\Phi}_{138}(x)|=|\frac{(x+1)(x^{69}+1)}{(x^3+1)(x^{23}+1)}\\|=|x^{44}+x^{43}-x^{41}-x^{40}+x^{38}+x^{37}-x^{35}-x^{34}+x^{32}+x^{31}\\||-x^{29}-x^{28}+x^{26}+x^{25}-x^{23}-x^{22}-x^{21}+x^{19}+x^{18}-x^{16}\\||-x^{15}+x^{13}+x^{12}-x^{10}-x^9+x^7+x^6-x^4-x^3+x+1\\{\large\Phi}_{139}(x)|=|\frac{x^{139}-1}{x-1}\\|=|x^{138}+x^{137}+x^{136}+x^{135}+x^{134}+x^{133}+x^{132}+x^{131}+x^{130}+x^{129}\\||+x^{128}+x^{127}+x^{126}+x^{125}+x^{124}+x^{123}+x^{122}+x^{121}+x^{120}+x^{119}\\||+x^{118}+x^{117}+x^{116}+x^{115}+x^{114}+x^{113}+x^{112}+x^{111}+x^{110}+x^{109}\\||+x^{108}+x^{107}+x^{106}+x^{105}+x^{104}+x^{103}+x^{102}+x^{101}+x^{100}+x^{99}\\||+x^{98}+x^{97}+x^{96}+x^{95}+x^{94}+x^{93}+x^{92}+x^{91}+x^{90}+x^{89}\\||+x^{88}+x^{87}+x^{86}+x^{85}+x^{84}+x^{83}+x^{82}+x^{81}+x^{80}+x^{79}\\||+x^{78}+x^{77}+x^{76}+x^{75}+x^{74}+x^{73}+x^{72}+x^{71}+x^{70}+x^{69}\\||+x^{68}+x^{67}+x^{66}+x^{65}+x^{64}+x^{63}+x^{62}+x^{61}+x^{60}+x^{59}\\||+x^{58}+x^{57}+x^{56}+x^{55}+x^{54}+x^{53}+x^{52}+x^{51}+x^{50}+x^{49}\\||+x^{48}+x^{47}+x^{46}+x^{45}+x^{44}+x^{43}+x^{42}+x^{41}+x^{40}+x^{39}\\||+x^{38}+x^{37}+x^{36}+x^{35}+x^{34}+x^{33}+x^{32}+x^{31}+x^{30}+x^{29}\\||+x^{28}+x^{27}+x^{26}+x^{25}+x^{24}+x^{23}+x^{22}+x^{21}+x^{20}+x^{19}\\||+x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}+x^{10}+x^9\\||+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1\\{\large\Phi}_{140}(x)|=|\frac{(x^2+1)(x^{70}+1)}{(x^{10}+1)(x^{14}+1)}\\|=|x^{48}+x^{46}-x^{38}-x^{36}-x^{34}-x^{32}+x^{28}+x^{26}+x^{24}+x^{22}\\||+x^{20}-x^{16}-x^{14}-x^{12}-x^{10}+x^2+1\end{eqnarray}%%
Φ141(x)⋯Φ160(x)Φ141(x)⋯Φ160(x)
%%\begin{eqnarray}{\large\Phi}_{141}(x)|=|\frac{(x-1)(x^{141}-1)}{(x^3-1)(x^{47}-1)}\\|=|x^{92}-x^{91}+x^{89}-x^{88}+x^{86}-x^{85}+x^{83}-x^{82}+x^{80}-x^{79}\\||+x^{77}-x^{76}+x^{74}-x^{73}+x^{71}-x^{70}+x^{68}-x^{67}+x^{65}-x^{64}\\||+x^{62}-x^{61}+x^{59}-x^{58}+x^{56}-x^{55}+x^{53}-x^{52}+x^{50}-x^{49}\\||+x^{47}-x^{46}+x^{45}-x^{43}+x^{42}-x^{40}+x^{39}-x^{37}+x^{36}-x^{34}\\||+x^{33}-x^{31}+x^{30}-x^{28}+x^{27}-x^{25}+x^{24}-x^{22}+x^{21}-x^{19}\\||+x^{18}-x^{16}+x^{15}-x^{13}+x^{12}-x^{10}+x^9-x^7+x^6-x^4\\||+x^3-x+1\\{\large\Phi}_{142}(x)|=|\frac{x^{71}+1}{x+1}\\|=|x^{70}-x^{69}+x^{68}-x^{67}+x^{66}-x^{65}+x^{64}-x^{63}+x^{62}-x^{61}\\||+x^{60}-x^{59}+x^{58}-x^{57}+x^{56}-x^{55}+x^{54}-x^{53}+x^{52}-x^{51}\\||+x^{50}-x^{49}+x^{48}-x^{47}+x^{46}-x^{45}+x^{44}-x^{43}+x^{42}-x^{41}\\||+x^{40}-x^{39}+x^{38}-x^{37}+x^{36}-x^{35}+x^{34}-x^{33}+x^{32}-x^{31}\\||+x^{30}-x^{29}+x^{28}-x^{27}+x^{26}-x^{25}+x^{24}-x^{23}+x^{22}-x^{21}\\||+x^{20}-x^{19}+x^{18}-x^{17}+x^{16}-x^{15}+x^{14}-x^{13}+x^{12}-x^{11}\\||+x^{10}-x^9+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1\\{\large\Phi}_{143}(x)|=|\frac{(x-1)(x^{143}-1)}{(x^{11}-1)(x^{13}-1)}\\|=|x^{120}-x^{119}+x^{109}-x^{108}+x^{107}-x^{106}+x^{98}-x^{97}+x^{96}-x^{95}\\||+x^{94}-x^{93}+x^{87}-x^{86}+x^{85}-x^{84}+x^{83}-x^{82}+x^{81}-x^{80}\\||+x^{76}-x^{75}+x^{74}-x^{73}+x^{72}-x^{71}+x^{70}-x^{69}+x^{68}-x^{67}\\||+x^{65}-x^{64}+x^{63}-x^{62}+x^{61}-x^{60}+x^{59}-x^{58}+x^{57}-x^{56}\\||+x^{55}-x^{53}+x^{52}-x^{51}+x^{50}-x^{49}+x^{48}-x^{47}+x^{46}-x^{45}\\||+x^{44}-x^{40}+x^{39}-x^{38}+x^{37}-x^{36}+x^{35}-x^{34}+x^{33}-x^{27}\\||+x^{26}-x^{25}+x^{24}-x^{23}+x^{22}-x^{14}+x^{13}-x^{12}+x^{11}-x+1\\{\large\Phi}_{144}(x)|=|\frac{x^{72}+1}{x^{24}+1}\\|=|x^{48}-x^{24}+1\\{\large\Phi}_{145}(x)|=|\frac{(x-1)(x^{145}-1)}{(x^5-1)(x^{29}-1)}\\|=|x^{112}-x^{111}+x^{107}-x^{106}+x^{102}-x^{101}+x^{97}-x^{96}+x^{92}-x^{91}\\||+x^{87}-x^{86}+x^{83}-x^{81}+x^{78}-x^{76}+x^{73}-x^{71}+x^{68}-x^{66}\\||+x^{63}-x^{61}+x^{58}-x^{56}+x^{54}-x^{51}+x^{49}-x^{46}+x^{44}-x^{41}\\||+x^{39}-x^{36}+x^{34}-x^{31}+x^{29}-x^{26}+x^{25}-x^{21}+x^{20}-x^{16}\\||+x^{15}-x^{11}+x^{10}-x^6+x^5-x+1\\{\large\Phi}_{146}(x)|=|\frac{x^{73}+1}{x+1}\\|=|x^{72}-x^{71}+x^{70}-x^{69}+x^{68}-x^{67}+x^{66}-x^{65}+x^{64}-x^{63}\\||+x^{62}-x^{61}+x^{60}-x^{59}+x^{58}-x^{57}+x^{56}-x^{55}+x^{54}-x^{53}\\||+x^{52}-x^{51}+x^{50}-x^{49}+x^{48}-x^{47}+x^{46}-x^{45}+x^{44}-x^{43}\\||+x^{42}-x^{41}+x^{40}-x^{39}+x^{38}-x^{37}+x^{36}-x^{35}+x^{34}-x^{33}\\||+x^{32}-x^{31}+x^{30}-x^{29}+x^{28}-x^{27}+x^{26}-x^{25}+x^{24}-x^{23}\\||+x^{22}-x^{21}+x^{20}-x^{19}+x^{18}-x^{17}+x^{16}-x^{15}+x^{14}-x^{13}\\||+x^{12}-x^{11}+x^{10}-x^9+x^8-x^7+x^6-x^5+x^4-x^3\\||+x^2-x+1\\{\large\Phi}_{147}(x)|=|\frac{(x^7-1)(x^{147}-1)}{(x^{21}-1)(x^{49}-1)}\\|=|x^{84}-x^{77}+x^{63}-x^{56}+x^{42}-x^{28}+x^{21}-x^7+1\\{\large\Phi}_{148}(x)|=|\frac{x^{74}+1}{x^2+1}\\|=|x^{72}-x^{70}+x^{68}-x^{66}+x^{64}-x^{62}+x^{60}-x^{58}+x^{56}-x^{54}\\||+x^{52}-x^{50}+x^{48}-x^{46}+x^{44}-x^{42}+x^{40}-x^{38}+x^{36}-x^{34}\\||+x^{32}-x^{30}+x^{28}-x^{26}+x^{24}-x^{22}+x^{20}-x^{18}+x^{16}-x^{14}\\||+x^{12}-x^{10}+x^8-x^6+x^4-x^2+1\\{\large\Phi}_{149}(x)|=|\frac{x^{149}-1}{x-1}\\|=|x^{148}+x^{147}+x^{146}+x^{145}+x^{144}+x^{143}+x^{142}+x^{141}+x^{140}+x^{139}\\||+x^{138}+x^{137}+x^{136}+x^{135}+x^{134}+x^{133}+x^{132}+x^{131}+x^{130}+x^{129}\\||+x^{128}+x^{127}+x^{126}+x^{125}+x^{124}+x^{123}+x^{122}+x^{121}+x^{120}+x^{119}\\||+x^{118}+x^{117}+x^{116}+x^{115}+x^{114}+x^{113}+x^{112}+x^{111}+x^{110}+x^{109}\\||+x^{108}+x^{107}+x^{106}+x^{105}+x^{104}+x^{103}+x^{102}+x^{101}+x^{100}+x^{99}\\||+x^{98}+x^{97}+x^{96}+x^{95}+x^{94}+x^{93}+x^{92}+x^{91}+x^{90}+x^{89}\\||+x^{88}+x^{87}+x^{86}+x^{85}+x^{84}+x^{83}+x^{82}+x^{81}+x^{80}+x^{79}\\||+x^{78}+x^{77}+x^{76}+x^{75}+x^{74}+x^{73}+x^{72}+x^{71}+x^{70}+x^{69}\\||+x^{68}+x^{67}+x^{66}+x^{65}+x^{64}+x^{63}+x^{62}+x^{61}+x^{60}+x^{59}\\||+x^{58}+x^{57}+x^{56}+x^{55}+x^{54}+x^{53}+x^{52}+x^{51}+x^{50}+x^{49}\\||+x^{48}+x^{47}+x^{46}+x^{45}+x^{44}+x^{43}+x^{42}+x^{41}+x^{40}+x^{39}\\||+x^{38}+x^{37}+x^{36}+x^{35}+x^{34}+x^{33}+x^{32}+x^{31}+x^{30}+x^{29}\\||+x^{28}+x^{27}+x^{26}+x^{25}+x^{24}+x^{23}+x^{22}+x^{21}+x^{20}+x^{19}\\||+x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}+x^{10}+x^9\\||+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1\\{\large\Phi}_{150}(x)|=|\frac{(x^5+1)(x^{75}+1)}{(x^{15}+1)(x^{25}+1)}\\|=|x^{40}+x^{35}-x^{25}-x^{20}-x^{15}+x^5+1\\{\large\Phi}_{151}(x)|=|\frac{x^{151}-1}{x-1}\\|=|x^{150}+x^{149}+x^{148}+x^{147}+x^{146}+x^{145}+x^{144}+x^{143}+x^{142}+x^{141}\\||+x^{140}+x^{139}+x^{138}+x^{137}+x^{136}+x^{135}+x^{134}+x^{133}+x^{132}+x^{131}\\||+x^{130}+x^{129}+x^{128}+x^{127}+x^{126}+x^{125}+x^{124}+x^{123}+x^{122}+x^{121}\\||+x^{120}+x^{119}+x^{118}+x^{117}+x^{116}+x^{115}+x^{114}+x^{113}+x^{112}+x^{111}\\||+x^{110}+x^{109}+x^{108}+x^{107}+x^{106}+x^{105}+x^{104}+x^{103}+x^{102}+x^{101}\\||+x^{100}+x^{99}+x^{98}+x^{97}+x^{96}+x^{95}+x^{94}+x^{93}+x^{92}+x^{91}\\||+x^{90}+x^{89}+x^{88}+x^{87}+x^{86}+x^{85}+x^{84}+x^{83}+x^{82}+x^{81}\\||+x^{80}+x^{79}+x^{78}+x^{77}+x^{76}+x^{75}+x^{74}+x^{73}+x^{72}+x^{71}\\||+x^{70}+x^{69}+x^{68}+x^{67}+x^{66}+x^{65}+x^{64}+x^{63}+x^{62}+x^{61}\\||+x^{60}+x^{59}+x^{58}+x^{57}+x^{56}+x^{55}+x^{54}+x^{53}+x^{52}+x^{51}\\||+x^{50}+x^{49}+x^{48}+x^{47}+x^{46}+x^{45}+x^{44}+x^{43}+x^{42}+x^{41}\\||+x^{40}+x^{39}+x^{38}+x^{37}+x^{36}+x^{35}+x^{34}+x^{33}+x^{32}+x^{31}\\||+x^{30}+x^{29}+x^{28}+x^{27}+x^{26}+x^{25}+x^{24}+x^{23}+x^{22}+x^{21}\\||+x^{20}+x^{19}+x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}\\||+x^{10}+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1\\{\large\Phi}_{152}(x)|=|\frac{x^{76}+1}{x^4+1}\\|=|x^{72}-x^{68}+x^{64}-x^{60}+x^{56}-x^{52}+x^{48}-x^{44}+x^{40}-x^{36}\\||+x^{32}-x^{28}+x^{24}-x^{20}+x^{16}-x^{12}+x^8-x^4+1\\{\large\Phi}_{153}(x)|=|\frac{(x^3-1)(x^{153}-1)}{(x^9-1)(x^{51}-1)}\\|=|x^{96}-x^{93}+x^{87}-x^{84}+x^{78}-x^{75}+x^{69}-x^{66}+x^{60}-x^{57}\\||+x^{51}-x^{48}+x^{45}-x^{39}+x^{36}-x^{30}+x^{27}-x^{21}+x^{18}-x^{12}\\||+x^9-x^3+1\\{\large\Phi}_{154}(x)|=|\frac{(x+1)(x^{77}+1)}{(x^7+1)(x^{11}+1)}\\|=|x^{60}+x^{59}-x^{53}-x^{52}-x^{49}-x^{48}+x^{46}+x^{45}+x^{42}+x^{41}\\||-x^{39}+x^{37}-x^{35}-x^{34}+x^{32}-x^{30}+x^{28}-x^{26}-x^{25}+x^{23}\\||-x^{21}+x^{19}+x^{18}+x^{15}+x^{14}-x^{12}-x^{11}-x^8-x^7+x+1\\{\large\Phi}_{155}(x)|=|\frac{(x-1)(x^{155}-1)}{(x^5-1)(x^{31}-1)}\\|=|x^{120}-x^{119}+x^{115}-x^{114}+x^{110}-x^{109}+x^{105}-x^{104}+x^{100}-x^{99}\\||+x^{95}-x^{94}+x^{90}-x^{88}+x^{85}-x^{83}+x^{80}-x^{78}+x^{75}-x^{73}\\||+x^{70}-x^{68}+x^{65}-x^{63}+x^{60}-x^{57}+x^{55}-x^{52}+x^{50}-x^{47}\\||+x^{45}-x^{42}+x^{40}-x^{37}+x^{35}-x^{32}+x^{30}-x^{26}+x^{25}-x^{21}\\||+x^{20}-x^{16}+x^{15}-x^{11}+x^{10}-x^6+x^5-x+1\\{\large\Phi}_{156}(x)|=|\frac{(x^2+1)(x^{78}+1)}{(x^6+1)(x^{26}+1)}\\|=|x^{48}+x^{46}-x^{42}-x^{40}+x^{36}+x^{34}-x^{30}-x^{28}+x^{24}-x^{20}\\||-x^{18}+x^{14}+x^{12}-x^8-x^6+x^2+1\\{\large\Phi}_{157}(x)|=|\frac{x^{157}-1}{x-1}\\|=|x^{156}+x^{155}+x^{154}+x^{153}+x^{152}+x^{151}+x^{150}+x^{149}+x^{148}+x^{147}\\||+x^{146}+x^{145}+x^{144}+x^{143}+x^{142}+x^{141}+x^{140}+x^{139}+x^{138}+x^{137}\\||+x^{136}+x^{135}+x^{134}+x^{133}+x^{132}+x^{131}+x^{130}+x^{129}+x^{128}+x^{127}\\||+x^{126}+x^{125}+x^{124}+x^{123}+x^{122}+x^{121}+x^{120}+x^{119}+x^{118}+x^{117}\\||+x^{116}+x^{115}+x^{114}+x^{113}+x^{112}+x^{111}+x^{110}+x^{109}+x^{108}+x^{107}\\||+x^{106}+x^{105}+x^{104}+x^{103}+x^{102}+x^{101}+x^{100}+x^{99}+x^{98}+x^{97}\\||+x^{96}+x^{95}+x^{94}+x^{93}+x^{92}+x^{91}+x^{90}+x^{89}+x^{88}+x^{87}\\||+x^{86}+x^{85}+x^{84}+x^{83}+x^{82}+x^{81}+x^{80}+x^{79}+x^{78}+x^{77}\\||+x^{76}+x^{75}+x^{74}+x^{73}+x^{72}+x^{71}+x^{70}+x^{69}+x^{68}+x^{67}\\||+x^{66}+x^{65}+x^{64}+x^{63}+x^{62}+x^{61}+x^{60}+x^{59}+x^{58}+x^{57}\\||+x^{56}+x^{55}+x^{54}+x^{53}+x^{52}+x^{51}+x^{50}+x^{49}+x^{48}+x^{47}\\||+x^{46}+x^{45}+x^{44}+x^{43}+x^{42}+x^{41}+x^{40}+x^{39}+x^{38}+x^{37}\\||+x^{36}+x^{35}+x^{34}+x^{33}+x^{32}+x^{31}+x^{30}+x^{29}+x^{28}+x^{27}\\||+x^{26}+x^{25}+x^{24}+x^{23}+x^{22}+x^{21}+x^{20}+x^{19}+x^{18}+x^{17}\\||+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}+x^{10}+x^9+x^8+x^7\\||+x^6+x^5+x^4+x^3+x^2+x+1\\{\large\Phi}_{158}(x)|=|\frac{x^{79}+1}{x+1}\\|=|x^{78}-x^{77}+x^{76}-x^{75}+x^{74}-x^{73}+x^{72}-x^{71}+x^{70}-x^{69}\\||+x^{68}-x^{67}+x^{66}-x^{65}+x^{64}-x^{63}+x^{62}-x^{61}+x^{60}-x^{59}\\||+x^{58}-x^{57}+x^{56}-x^{55}+x^{54}-x^{53}+x^{52}-x^{51}+x^{50}-x^{49}\\||+x^{48}-x^{47}+x^{46}-x^{45}+x^{44}-x^{43}+x^{42}-x^{41}+x^{40}-x^{39}\\||+x^{38}-x^{37}+x^{36}-x^{35}+x^{34}-x^{33}+x^{32}-x^{31}+x^{30}-x^{29}\\||+x^{28}-x^{27}+x^{26}-x^{25}+x^{24}-x^{23}+x^{22}-x^{21}+x^{20}-x^{19}\\||+x^{18}-x^{17}+x^{16}-x^{15}+x^{14}-x^{13}+x^{12}-x^{11}+x^{10}-x^9\\||+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1\\{\large\Phi}_{159}(x)|=|\frac{(x-1)(x^{159}-1)}{(x^3-1)(x^{53}-1)}\\|=|x^{104}-x^{103}+x^{101}-x^{100}+x^{98}-x^{97}+x^{95}-x^{94}+x^{92}-x^{91}\\||+x^{89}-x^{88}+x^{86}-x^{85}+x^{83}-x^{82}+x^{80}-x^{79}+x^{77}-x^{76}\\||+x^{74}-x^{73}+x^{71}-x^{70}+x^{68}-x^{67}+x^{65}-x^{64}+x^{62}-x^{61}\\||+x^{59}-x^{58}+x^{56}-x^{55}+x^{53}-x^{52}+x^{51}-x^{49}+x^{48}-x^{46}\\||+x^{45}-x^{43}+x^{42}-x^{40}+x^{39}-x^{37}+x^{36}-x^{34}+x^{33}-x^{31}\\||+x^{30}-x^{28}+x^{27}-x^{25}+x^{24}-x^{22}+x^{21}-x^{19}+x^{18}-x^{16}\\||+x^{15}-x^{13}+x^{12}-x^{10}+x^9-x^7+x^6-x^4+x^3-x+1\\{\large\Phi}_{160}(x)|=|\frac{x^{80}+1}{x^{16}+1}\\|=|x^{64}-x^{48}+x^{32}-x^{16}+1\end{eqnarray}%%
Φ161(x)⋯Φ180(x)Φ161(x)⋯Φ180(x)
%%\begin{eqnarray}{\large\Phi}_{161}(x)|=|\frac{(x-1)(x^{161}-1)}{(x^7-1)(x^{23}-1)}\\|=|x^{132}-x^{131}+x^{125}-x^{124}+x^{118}-x^{117}+x^{111}-x^{110}+x^{109}-x^{108}\\||+x^{104}-x^{103}+x^{102}-x^{101}+x^{97}-x^{96}+x^{95}-x^{94}+x^{90}-x^{89}\\||+x^{88}-x^{87}+x^{86}-x^{85}+x^{83}-x^{82}+x^{81}-x^{80}+x^{79}-x^{78}\\||+x^{76}-x^{75}+x^{74}-x^{73}+x^{72}-x^{71}+x^{69}-x^{68}+x^{67}-x^{66}\\||+x^{65}-x^{64}+x^{63}-x^{61}+x^{60}-x^{59}+x^{58}-x^{57}+x^{56}-x^{54}\\||+x^{53}-x^{52}+x^{51}-x^{50}+x^{49}-x^{47}+x^{46}-x^{45}+x^{44}-x^{43}\\||+x^{42}-x^{38}+x^{37}-x^{36}+x^{35}-x^{31}+x^{30}-x^{29}+x^{28}-x^{24}\\||+x^{23}-x^{22}+x^{21}-x^{15}+x^{14}-x^8+x^7-x+1\\{\large\Phi}_{162}(x)|=|\frac{x^{81}+1}{x^{27}+1}\\|=|x^{54}-x^{27}+1\\{\large\Phi}_{163}(x)|=|\frac{x^{163}-1}{x-1}\\|=|x^{162}+x^{161}+x^{160}+x^{159}+x^{158}+x^{157}+x^{156}+x^{155}+x^{154}+x^{153}\\||+x^{152}+x^{151}+x^{150}+x^{149}+x^{148}+x^{147}+x^{146}+x^{145}+x^{144}+x^{143}\\||+x^{142}+x^{141}+x^{140}+x^{139}+x^{138}+x^{137}+x^{136}+x^{135}+x^{134}+x^{133}\\||+x^{132}+x^{131}+x^{130}+x^{129}+x^{128}+x^{127}+x^{126}+x^{125}+x^{124}+x^{123}\\||+x^{122}+x^{121}+x^{120}+x^{119}+x^{118}+x^{117}+x^{116}+x^{115}+x^{114}+x^{113}\\||+x^{112}+x^{111}+x^{110}+x^{109}+x^{108}+x^{107}+x^{106}+x^{105}+x^{104}+x^{103}\\||+x^{102}+x^{101}+x^{100}+x^{99}+x^{98}+x^{97}+x^{96}+x^{95}+x^{94}+x^{93}\\||+x^{92}+x^{91}+x^{90}+x^{89}+x^{88}+x^{87}+x^{86}+x^{85}+x^{84}+x^{83}\\||+x^{82}+x^{81}+x^{80}+x^{79}+x^{78}+x^{77}+x^{76}+x^{75}+x^{74}+x^{73}\\||+x^{72}+x^{71}+x^{70}+x^{69}+x^{68}+x^{67}+x^{66}+x^{65}+x^{64}+x^{63}\\||+x^{62}+x^{61}+x^{60}+x^{59}+x^{58}+x^{57}+x^{56}+x^{55}+x^{54}+x^{53}\\||+x^{52}+x^{51}+x^{50}+x^{49}+x^{48}+x^{47}+x^{46}+x^{45}+x^{44}+x^{43}\\||+x^{42}+x^{41}+x^{40}+x^{39}+x^{38}+x^{37}+x^{36}+x^{35}+x^{34}+x^{33}\\||+x^{32}+x^{31}+x^{30}+x^{29}+x^{28}+x^{27}+x^{26}+x^{25}+x^{24}+x^{23}\\||+x^{22}+x^{21}+x^{20}+x^{19}+x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}\\||+x^{12}+x^{11}+x^{10}+x^9+x^8+x^7+x^6+x^5+x^4+x^3\\||+x^2+x+1\\{\large\Phi}_{164}(x)|=|\frac{x^{82}+1}{x^2+1}\\|=|x^{80}-x^{78}+x^{76}-x^{74}+x^{72}-x^{70}+x^{68}-x^{66}+x^{64}-x^{62}\\||+x^{60}-x^{58}+x^{56}-x^{54}+x^{52}-x^{50}+x^{48}-x^{46}+x^{44}-x^{42}\\||+x^{40}-x^{38}+x^{36}-x^{34}+x^{32}-x^{30}+x^{28}-x^{26}+x^{24}-x^{22}\\||+x^{20}-x^{18}+x^{16}-x^{14}+x^{12}-x^{10}+x^8-x^6+x^4-x^2+1\\{\large\Phi}_{165}(x)|=|\frac{(x^3-1)(x^5-1)(x^{11}-1)(x^{165}-1)}{(x-1)(x^{15}-1)(x^{33}-1)(x^{55}-1)}\\|=|x^{80}+x^{79}+x^{78}-x^{75}-x^{74}-x^{73}-x^{69}-x^{68}-x^{67}+x^{65}\\||+2x^{64}+2x^{63}+x^{62}-x^{60}-x^{59}-x^{58}-x^{54}-x^{53}-x^{52}+x^{50}\\||+2x^{49}+2x^{48}+2x^{47}+x^{46}-x^{44}-x^{43}-x^{42}-x^{41}-x^{40}-x^{39}\\||-x^{38}-x^{37}-x^{36}+x^{34}+2x^{33}+2x^{32}+2x^{31}+x^{30}-x^{28}-x^{27}\\||-x^{26}-x^{22}-x^{21}-x^{20}+x^{18}+2x^{17}+2x^{16}+x^{15}-x^{13}-x^{12}\\||-x^{11}-x^7-x^6-x^5+x^2+x+1\\{\large\Phi}_{166}(x)|=|\frac{x^{83}+1}{x+1}\\|=|x^{82}-x^{81}+x^{80}-x^{79}+x^{78}-x^{77}+x^{76}-x^{75}+x^{74}-x^{73}\\||+x^{72}-x^{71}+x^{70}-x^{69}+x^{68}-x^{67}+x^{66}-x^{65}+x^{64}-x^{63}\\||+x^{62}-x^{61}+x^{60}-x^{59}+x^{58}-x^{57}+x^{56}-x^{55}+x^{54}-x^{53}\\||+x^{52}-x^{51}+x^{50}-x^{49}+x^{48}-x^{47}+x^{46}-x^{45}+x^{44}-x^{43}\\||+x^{42}-x^{41}+x^{40}-x^{39}+x^{38}-x^{37}+x^{36}-x^{35}+x^{34}-x^{33}\\||+x^{32}-x^{31}+x^{30}-x^{29}+x^{28}-x^{27}+x^{26}-x^{25}+x^{24}-x^{23}\\||+x^{22}-x^{21}+x^{20}-x^{19}+x^{18}-x^{17}+x^{16}-x^{15}+x^{14}-x^{13}\\||+x^{12}-x^{11}+x^{10}-x^9+x^8-x^7+x^6-x^5+x^4-x^3\\||+x^2-x+1\\{\large\Phi}_{167}(x)|=|\frac{x^{167}-1}{x-1}\\|=|x^{166}+x^{165}+x^{164}+x^{163}+x^{162}+x^{161}+x^{160}+x^{159}+x^{158}+x^{157}\\||+x^{156}+x^{155}+x^{154}+x^{153}+x^{152}+x^{151}+x^{150}+x^{149}+x^{148}+x^{147}\\||+x^{146}+x^{145}+x^{144}+x^{143}+x^{142}+x^{141}+x^{140}+x^{139}+x^{138}+x^{137}\\||+x^{136}+x^{135}+x^{134}+x^{133}+x^{132}+x^{131}+x^{130}+x^{129}+x^{128}+x^{127}\\||+x^{126}+x^{125}+x^{124}+x^{123}+x^{122}+x^{121}+x^{120}+x^{119}+x^{118}+x^{117}\\||+x^{116}+x^{115}+x^{114}+x^{113}+x^{112}+x^{111}+x^{110}+x^{109}+x^{108}+x^{107}\\||+x^{106}+x^{105}+x^{104}+x^{103}+x^{102}+x^{101}+x^{100}+x^{99}+x^{98}+x^{97}\\||+x^{96}+x^{95}+x^{94}+x^{93}+x^{92}+x^{91}+x^{90}+x^{89}+x^{88}+x^{87}\\||+x^{86}+x^{85}+x^{84}+x^{83}+x^{82}+x^{81}+x^{80}+x^{79}+x^{78}+x^{77}\\||+x^{76}+x^{75}+x^{74}+x^{73}+x^{72}+x^{71}+x^{70}+x^{69}+x^{68}+x^{67}\\||+x^{66}+x^{65}+x^{64}+x^{63}+x^{62}+x^{61}+x^{60}+x^{59}+x^{58}+x^{57}\\||+x^{56}+x^{55}+x^{54}+x^{53}+x^{52}+x^{51}+x^{50}+x^{49}+x^{48}+x^{47}\\||+x^{46}+x^{45}+x^{44}+x^{43}+x^{42}+x^{41}+x^{40}+x^{39}+x^{38}+x^{37}\\||+x^{36}+x^{35}+x^{34}+x^{33}+x^{32}+x^{31}+x^{30}+x^{29}+x^{28}+x^{27}\\||+x^{26}+x^{25}+x^{24}+x^{23}+x^{22}+x^{21}+x^{20}+x^{19}+x^{18}+x^{17}\\||+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}+x^{10}+x^9+x^8+x^7\\||+x^6+x^5+x^4+x^3+x^2+x+1\\{\large\Phi}_{168}(x)|=|\frac{(x^4+1)(x^{84}+1)}{(x^{12}+1)(x^{28}+1)}\\|=|x^{48}+x^{44}-x^{36}-x^{32}+x^{24}-x^{16}-x^{12}+x^4+1\\{\large\Phi}_{169}(x)|=|\frac{x^{169}-1}{x^{13}-1}\\|=|x^{156}+x^{143}+x^{130}+x^{117}+x^{104}+x^{91}+x^{78}+x^{65}+x^{52}+x^{39}\\||+x^{26}+x^{13}+1\\{\large\Phi}_{170}(x)|=|\frac{(x+1)(x^{85}+1)}{(x^5+1)(x^{17}+1)}\\|=|x^{64}+x^{63}-x^{59}-x^{58}+x^{54}+x^{53}-x^{49}-x^{48}-x^{47}-x^{46}\\||+x^{44}+x^{43}+x^{42}+x^{41}-x^{39}-x^{38}-x^{37}-x^{36}+x^{34}+x^{33}\\||+x^{32}+x^{31}+x^{30}-x^{28}-x^{27}-x^{26}-x^{25}+x^{23}+x^{22}+x^{21}\\||+x^{20}-x^{18}-x^{17}-x^{16}-x^{15}+x^{11}+x^{10}-x^6-x^5+x+1\\{\large\Phi}_{171}(x)|=|\frac{(x^3-1)(x^{171}-1)}{(x^9-1)(x^{57}-1)}\\|=|x^{108}-x^{105}+x^{99}-x^{96}+x^{90}-x^{87}+x^{81}-x^{78}+x^{72}-x^{69}\\||+x^{63}-x^{60}+x^{54}-x^{48}+x^{45}-x^{39}+x^{36}-x^{30}+x^{27}-x^{21}\\||+x^{18}-x^{12}+x^9-x^3+1\\{\large\Phi}_{172}(x)|=|\frac{x^{86}+1}{x^2+1}\\|=|x^{84}-x^{82}+x^{80}-x^{78}+x^{76}-x^{74}+x^{72}-x^{70}+x^{68}-x^{66}\\||+x^{64}-x^{62}+x^{60}-x^{58}+x^{56}-x^{54}+x^{52}-x^{50}+x^{48}-x^{46}\\||+x^{44}-x^{42}+x^{40}-x^{38}+x^{36}-x^{34}+x^{32}-x^{30}+x^{28}-x^{26}\\||+x^{24}-x^{22}+x^{20}-x^{18}+x^{16}-x^{14}+x^{12}-x^{10}+x^8-x^6\\||+x^4-x^2+1\\{\large\Phi}_{173}(x)|=|\frac{x^{173}-1}{x-1}\\|=|x^{172}+x^{171}+x^{170}+x^{169}+x^{168}+x^{167}+x^{166}+x^{165}+x^{164}+x^{163}\\||+x^{162}+x^{161}+x^{160}+x^{159}+x^{158}+x^{157}+x^{156}+x^{155}+x^{154}+x^{153}\\||+x^{152}+x^{151}+x^{150}+x^{149}+x^{148}+x^{147}+x^{146}+x^{145}+x^{144}+x^{143}\\||+x^{142}+x^{141}+x^{140}+x^{139}+x^{138}+x^{137}+x^{136}+x^{135}+x^{134}+x^{133}\\||+x^{132}+x^{131}+x^{130}+x^{129}+x^{128}+x^{127}+x^{126}+x^{125}+x^{124}+x^{123}\\||+x^{122}+x^{121}+x^{120}+x^{119}+x^{118}+x^{117}+x^{116}+x^{115}+x^{114}+x^{113}\\||+x^{112}+x^{111}+x^{110}+x^{109}+x^{108}+x^{107}+x^{106}+x^{105}+x^{104}+x^{103}\\||+x^{102}+x^{101}+x^{100}+x^{99}+x^{98}+x^{97}+x^{96}+x^{95}+x^{94}+x^{93}\\||+x^{92}+x^{91}+x^{90}+x^{89}+x^{88}+x^{87}+x^{86}+x^{85}+x^{84}+x^{83}\\||+x^{82}+x^{81}+x^{80}+x^{79}+x^{78}+x^{77}+x^{76}+x^{75}+x^{74}+x^{73}\\||+x^{72}+x^{71}+x^{70}+x^{69}+x^{68}+x^{67}+x^{66}+x^{65}+x^{64}+x^{63}\\||+x^{62}+x^{61}+x^{60}+x^{59}+x^{58}+x^{57}+x^{56}+x^{55}+x^{54}+x^{53}\\||+x^{52}+x^{51}+x^{50}+x^{49}+x^{48}+x^{47}+x^{46}+x^{45}+x^{44}+x^{43}\\||+x^{42}+x^{41}+x^{40}+x^{39}+x^{38}+x^{37}+x^{36}+x^{35}+x^{34}+x^{33}\\||+x^{32}+x^{31}+x^{30}+x^{29}+x^{28}+x^{27}+x^{26}+x^{25}+x^{24}+x^{23}\\||+x^{22}+x^{21}+x^{20}+x^{19}+x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}\\||+x^{12}+x^{11}+x^{10}+x^9+x^8+x^7+x^6+x^5+x^4+x^3\\||+x^2+x+1\\{\large\Phi}_{174}(x)|=|\frac{(x+1)(x^{87}+1)}{(x^3+1)(x^{29}+1)}\\|=|x^{56}+x^{55}-x^{53}-x^{52}+x^{50}+x^{49}-x^{47}-x^{46}+x^{44}+x^{43}\\||-x^{41}-x^{40}+x^{38}+x^{37}-x^{35}-x^{34}+x^{32}+x^{31}-x^{29}-x^{28}\\||-x^{27}+x^{25}+x^{24}-x^{22}-x^{21}+x^{19}+x^{18}-x^{16}-x^{15}+x^{13}\\||+x^{12}-x^{10}-x^9+x^7+x^6-x^4-x^3+x+1\\{\large\Phi}_{175}(x)|=|\frac{(x^5-1)(x^{175}-1)}{(x^{25}-1)(x^{35}-1)}\\|=|x^{120}-x^{115}+x^{95}-x^{90}+x^{85}-x^{80}+x^{70}-x^{65}+x^{60}-x^{55}\\||+x^{50}-x^{40}+x^{35}-x^{30}+x^{25}-x^5+1\\{\large\Phi}_{176}(x)|=|\frac{x^{88}+1}{x^8+1}\\|=|x^{80}-x^{72}+x^{64}-x^{56}+x^{48}-x^{40}+x^{32}-x^{24}+x^{16}-x^8+1\\{\large\Phi}_{177}(x)|=|\frac{(x-1)(x^{177}-1)}{(x^3-1)(x^{59}-1)}\\|=|x^{116}-x^{115}+x^{113}-x^{112}+x^{110}-x^{109}+x^{107}-x^{106}+x^{104}-x^{103}\\||+x^{101}-x^{100}+x^{98}-x^{97}+x^{95}-x^{94}+x^{92}-x^{91}+x^{89}-x^{88}\\||+x^{86}-x^{85}+x^{83}-x^{82}+x^{80}-x^{79}+x^{77}-x^{76}+x^{74}-x^{73}\\||+x^{71}-x^{70}+x^{68}-x^{67}+x^{65}-x^{64}+x^{62}-x^{61}+x^{59}-x^{58}\\||+x^{57}-x^{55}+x^{54}-x^{52}+x^{51}-x^{49}+x^{48}-x^{46}+x^{45}-x^{43}\\||+x^{42}-x^{40}+x^{39}-x^{37}+x^{36}-x^{34}+x^{33}-x^{31}+x^{30}-x^{28}\\||+x^{27}-x^{25}+x^{24}-x^{22}+x^{21}-x^{19}+x^{18}-x^{16}+x^{15}-x^{13}\\||+x^{12}-x^{10}+x^9-x^7+x^6-x^4+x^3-x+1\\{\large\Phi}_{178}(x)|=|\frac{x^{89}+1}{x+1}\\|=|x^{88}-x^{87}+x^{86}-x^{85}+x^{84}-x^{83}+x^{82}-x^{81}+x^{80}-x^{79}\\||+x^{78}-x^{77}+x^{76}-x^{75}+x^{74}-x^{73}+x^{72}-x^{71}+x^{70}-x^{69}\\||+x^{68}-x^{67}+x^{66}-x^{65}+x^{64}-x^{63}+x^{62}-x^{61}+x^{60}-x^{59}\\||+x^{58}-x^{57}+x^{56}-x^{55}+x^{54}-x^{53}+x^{52}-x^{51}+x^{50}-x^{49}\\||+x^{48}-x^{47}+x^{46}-x^{45}+x^{44}-x^{43}+x^{42}-x^{41}+x^{40}-x^{39}\\||+x^{38}-x^{37}+x^{36}-x^{35}+x^{34}-x^{33}+x^{32}-x^{31}+x^{30}-x^{29}\\||+x^{28}-x^{27}+x^{26}-x^{25}+x^{24}-x^{23}+x^{22}-x^{21}+x^{20}-x^{19}\\||+x^{18}-x^{17}+x^{16}-x^{15}+x^{14}-x^{13}+x^{12}-x^{11}+x^{10}-x^9\\||+x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1\\{\large\Phi}_{179}(x)|=|\frac{x^{179}-1}{x-1}\\|=|x^{178}+x^{177}+x^{176}+x^{175}+x^{174}+x^{173}+x^{172}+x^{171}+x^{170}+x^{169}\\||+x^{168}+x^{167}+x^{166}+x^{165}+x^{164}+x^{163}+x^{162}+x^{161}+x^{160}+x^{159}\\||+x^{158}+x^{157}+x^{156}+x^{155}+x^{154}+x^{153}+x^{152}+x^{151}+x^{150}+x^{149}\\||+x^{148}+x^{147}+x^{146}+x^{145}+x^{144}+x^{143}+x^{142}+x^{141}+x^{140}+x^{139}\\||+x^{138}+x^{137}+x^{136}+x^{135}+x^{134}+x^{133}+x^{132}+x^{131}+x^{130}+x^{129}\\||+x^{128}+x^{127}+x^{126}+x^{125}+x^{124}+x^{123}+x^{122}+x^{121}+x^{120}+x^{119}\\||+x^{118}+x^{117}+x^{116}+x^{115}+x^{114}+x^{113}+x^{112}+x^{111}+x^{110}+x^{109}\\||+x^{108}+x^{107}+x^{106}+x^{105}+x^{104}+x^{103}+x^{102}+x^{101}+x^{100}+x^{99}\\||+x^{98}+x^{97}+x^{96}+x^{95}+x^{94}+x^{93}+x^{92}+x^{91}+x^{90}+x^{89}\\||+x^{88}+x^{87}+x^{86}+x^{85}+x^{84}+x^{83}+x^{82}+x^{81}+x^{80}+x^{79}\\||+x^{78}+x^{77}+x^{76}+x^{75}+x^{74}+x^{73}+x^{72}+x^{71}+x^{70}+x^{69}\\||+x^{68}+x^{67}+x^{66}+x^{65}+x^{64}+x^{63}+x^{62}+x^{61}+x^{60}+x^{59}\\||+x^{58}+x^{57}+x^{56}+x^{55}+x^{54}+x^{53}+x^{52}+x^{51}+x^{50}+x^{49}\\||+x^{48}+x^{47}+x^{46}+x^{45}+x^{44}+x^{43}+x^{42}+x^{41}+x^{40}+x^{39}\\||+x^{38}+x^{37}+x^{36}+x^{35}+x^{34}+x^{33}+x^{32}+x^{31}+x^{30}+x^{29}\\||+x^{28}+x^{27}+x^{26}+x^{25}+x^{24}+x^{23}+x^{22}+x^{21}+x^{20}+x^{19}\\||+x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}+x^{10}+x^9\\||+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1\\{\large\Phi}_{180}(x)|=|\frac{(x^6+1)(x^{90}+1)}{(x^{18}+1)(x^{30}+1)}\\|=|x^{48}+x^{42}-x^{30}-x^{24}-x^{18}+x^6+1\end{eqnarray}%%
Φ181(x)⋯Φ200(x)Φ181(x)⋯Φ200(x)
%%\begin{eqnarray}{\large\Phi}_{181}(x)|=|\frac{x^{181}-1}{x-1}\\|=|x^{180}+x^{179}+x^{178}+x^{177}+x^{176}+x^{175}+x^{174}+x^{173}+x^{172}+x^{171}\\||+x^{170}+x^{169}+x^{168}+x^{167}+x^{166}+x^{165}+x^{164}+x^{163}+x^{162}+x^{161}\\||+x^{160}+x^{159}+x^{158}+x^{157}+x^{156}+x^{155}+x^{154}+x^{153}+x^{152}+x^{151}\\||+x^{150}+x^{149}+x^{148}+x^{147}+x^{146}+x^{145}+x^{144}+x^{143}+x^{142}+x^{141}\\||+x^{140}+x^{139}+x^{138}+x^{137}+x^{136}+x^{135}+x^{134}+x^{133}+x^{132}+x^{131}\\||+x^{130}+x^{129}+x^{128}+x^{127}+x^{126}+x^{125}+x^{124}+x^{123}+x^{122}+x^{121}\\||+x^{120}+x^{119}+x^{118}+x^{117}+x^{116}+x^{115}+x^{114}+x^{113}+x^{112}+x^{111}\\||+x^{110}+x^{109}+x^{108}+x^{107}+x^{106}+x^{105}+x^{104}+x^{103}+x^{102}+x^{101}\\||+x^{100}+x^{99}+x^{98}+x^{97}+x^{96}+x^{95}+x^{94}+x^{93}+x^{92}+x^{91}\\||+x^{90}+x^{89}+x^{88}+x^{87}+x^{86}+x^{85}+x^{84}+x^{83}+x^{82}+x^{81}\\||+x^{80}+x^{79}+x^{78}+x^{77}+x^{76}+x^{75}+x^{74}+x^{73}+x^{72}+x^{71}\\||+x^{70}+x^{69}+x^{68}+x^{67}+x^{66}+x^{65}+x^{64}+x^{63}+x^{62}+x^{61}\\||+x^{60}+x^{59}+x^{58}+x^{57}+x^{56}+x^{55}+x^{54}+x^{53}+x^{52}+x^{51}\\||+x^{50}+x^{49}+x^{48}+x^{47}+x^{46}+x^{45}+x^{44}+x^{43}+x^{42}+x^{41}\\||+x^{40}+x^{39}+x^{38}+x^{37}+x^{36}+x^{35}+x^{34}+x^{33}+x^{32}+x^{31}\\||+x^{30}+x^{29}+x^{28}+x^{27}+x^{26}+x^{25}+x^{24}+x^{23}+x^{22}+x^{21}\\||+x^{20}+x^{19}+x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}\\||+x^{10}+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1\\{\large\Phi}_{182}(x)|=|\frac{(x+1)(x^{91}+1)}{(x^7+1)(x^{13}+1)}\\|=|x^{72}+x^{71}-x^{65}-x^{64}-x^{59}+x^{57}+x^{52}-x^{50}+x^{46}+x^{43}\\||-x^{39}-x^{36}-x^{33}+x^{29}+x^{26}-x^{22}+x^{20}+x^{15}-x^{13}-x^8\\||-x^7+x+1\\{\large\Phi}_{183}(x)|=|\frac{(x-1)(x^{183}-1)}{(x^3-1)(x^{61}-1)}\\|=|x^{120}-x^{119}+x^{117}-x^{116}+x^{114}-x^{113}+x^{111}-x^{110}+x^{108}-x^{107}\\||+x^{105}-x^{104}+x^{102}-x^{101}+x^{99}-x^{98}+x^{96}-x^{95}+x^{93}-x^{92}\\||+x^{90}-x^{89}+x^{87}-x^{86}+x^{84}-x^{83}+x^{81}-x^{80}+x^{78}-x^{77}\\||+x^{75}-x^{74}+x^{72}-x^{71}+x^{69}-x^{68}+x^{66}-x^{65}+x^{63}-x^{62}\\||+x^{60}-x^{58}+x^{57}-x^{55}+x^{54}-x^{52}+x^{51}-x^{49}+x^{48}-x^{46}\\||+x^{45}-x^{43}+x^{42}-x^{40}+x^{39}-x^{37}+x^{36}-x^{34}+x^{33}-x^{31}\\||+x^{30}-x^{28}+x^{27}-x^{25}+x^{24}-x^{22}+x^{21}-x^{19}+x^{18}-x^{16}\\||+x^{15}-x^{13}+x^{12}-x^{10}+x^9-x^7+x^6-x^4+x^3-x+1\\{\large\Phi}_{184}(x)|=|\frac{x^{92}+1}{x^4+1}\\|=|x^{88}-x^{84}+x^{80}-x^{76}+x^{72}-x^{68}+x^{64}-x^{60}+x^{56}-x^{52}\\||+x^{48}-x^{44}+x^{40}-x^{36}+x^{32}-x^{28}+x^{24}-x^{20}+x^{16}-x^{12}\\||+x^8-x^4+1\\{\large\Phi}_{185}(x)|=|\frac{(x-1)(x^{185}-1)}{(x^5-1)(x^{37}-1)}\\|=|x^{144}-x^{143}+x^{139}-x^{138}+x^{134}-x^{133}+x^{129}-x^{128}+x^{124}-x^{123}\\||+x^{119}-x^{118}+x^{114}-x^{113}+x^{109}-x^{108}+x^{107}-x^{106}+x^{104}-x^{103}\\||+x^{102}-x^{101}+x^{99}-x^{98}+x^{97}-x^{96}+x^{94}-x^{93}+x^{92}-x^{91}\\||+x^{89}-x^{88}+x^{87}-x^{86}+x^{84}-x^{83}+x^{82}-x^{81}+x^{79}-x^{78}\\||+x^{77}-x^{76}+x^{74}-x^{73}+x^{72}-x^{71}+x^{70}-x^{68}+x^{67}-x^{66}\\||+x^{65}-x^{63}+x^{62}-x^{61}+x^{60}-x^{58}+x^{57}-x^{56}+x^{55}-x^{53}\\||+x^{52}-x^{51}+x^{50}-x^{48}+x^{47}-x^{46}+x^{45}-x^{43}+x^{42}-x^{41}\\||+x^{40}-x^{38}+x^{37}-x^{36}+x^{35}-x^{31}+x^{30}-x^{26}+x^{25}-x^{21}\\||+x^{20}-x^{16}+x^{15}-x^{11}+x^{10}-x^6+x^5-x+1\\{\large\Phi}_{186}(x)|=|\frac{(x+1)(x^{93}+1)}{(x^3+1)(x^{31}+1)}\\|=|x^{60}+x^{59}-x^{57}-x^{56}+x^{54}+x^{53}-x^{51}-x^{50}+x^{48}+x^{47}\\||-x^{45}-x^{44}+x^{42}+x^{41}-x^{39}-x^{38}+x^{36}+x^{35}-x^{33}-x^{32}\\||+x^{30}-x^{28}-x^{27}+x^{25}+x^{24}-x^{22}-x^{21}+x^{19}+x^{18}-x^{16}\\||-x^{15}+x^{13}+x^{12}-x^{10}-x^9+x^7+x^6-x^4-x^3+x+1\\{\large\Phi}_{187}(x)|=|\frac{(x-1)(x^{187}-1)}{(x^{11}-1)(x^{17}-1)}\\|=|x^{160}-x^{159}+x^{149}-x^{148}+x^{143}-x^{142}+x^{138}-x^{137}+x^{132}-x^{131}\\||+x^{127}-x^{125}+x^{121}-x^{120}+x^{116}-x^{114}+x^{110}-x^{108}+x^{105}-x^{103}\\||+x^{99}-x^{97}+x^{94}-x^{91}+x^{88}-x^{86}+x^{83}-x^{80}+x^{77}-x^{74}\\||+x^{72}-x^{69}+x^{66}-x^{63}+x^{61}-x^{57}+x^{55}-x^{52}+x^{50}-x^{46}\\||+x^{44}-x^{40}+x^{39}-x^{35}+x^{33}-x^{29}+x^{28}-x^{23}+x^{22}-x^{18}\\||+x^{17}-x^{12}+x^{11}-x+1\\{\large\Phi}_{188}(x)|=|\frac{x^{94}+1}{x^2+1}\\|=|x^{92}-x^{90}+x^{88}-x^{86}+x^{84}-x^{82}+x^{80}-x^{78}+x^{76}-x^{74}\\||+x^{72}-x^{70}+x^{68}-x^{66}+x^{64}-x^{62}+x^{60}-x^{58}+x^{56}-x^{54}\\||+x^{52}-x^{50}+x^{48}-x^{46}+x^{44}-x^{42}+x^{40}-x^{38}+x^{36}-x^{34}\\||+x^{32}-x^{30}+x^{28}-x^{26}+x^{24}-x^{22}+x^{20}-x^{18}+x^{16}-x^{14}\\||+x^{12}-x^{10}+x^8-x^6+x^4-x^2+1\\{\large\Phi}_{189}(x)|=|\frac{(x^9-1)(x^{189}-1)}{(x^{27}-1)(x^{63}-1)}\\|=|x^{108}-x^{99}+x^{81}-x^{72}+x^{54}-x^{36}+x^{27}-x^9+1\\{\large\Phi}_{190}(x)|=|\frac{(x+1)(x^{95}+1)}{(x^5+1)(x^{19}+1)}\\|=|x^{72}+x^{71}-x^{67}-x^{66}+x^{62}+x^{61}-x^{57}-x^{56}-x^{53}+x^{51}\\||+x^{48}-x^{46}-x^{43}+x^{41}+x^{38}-x^{36}+x^{34}+x^{31}-x^{29}-x^{26}\\||+x^{24}+x^{21}-x^{19}-x^{16}-x^{15}+x^{11}+x^{10}-x^6-x^5+x+1\\{\large\Phi}_{191}(x)|=|\frac{x^{191}-1}{x-1}\\|=|x^{190}+x^{189}+x^{188}+x^{187}+x^{186}+x^{185}+x^{184}+x^{183}+x^{182}+x^{181}\\||+x^{180}+x^{179}+x^{178}+x^{177}+x^{176}+x^{175}+x^{174}+x^{173}+x^{172}+x^{171}\\||+x^{170}+x^{169}+x^{168}+x^{167}+x^{166}+x^{165}+x^{164}+x^{163}+x^{162}+x^{161}\\||+x^{160}+x^{159}+x^{158}+x^{157}+x^{156}+x^{155}+x^{154}+x^{153}+x^{152}+x^{151}\\||+x^{150}+x^{149}+x^{148}+x^{147}+x^{146}+x^{145}+x^{144}+x^{143}+x^{142}+x^{141}\\||+x^{140}+x^{139}+x^{138}+x^{137}+x^{136}+x^{135}+x^{134}+x^{133}+x^{132}+x^{131}\\||+x^{130}+x^{129}+x^{128}+x^{127}+x^{126}+x^{125}+x^{124}+x^{123}+x^{122}+x^{121}\\||+x^{120}+x^{119}+x^{118}+x^{117}+x^{116}+x^{115}+x^{114}+x^{113}+x^{112}+x^{111}\\||+x^{110}+x^{109}+x^{108}+x^{107}+x^{106}+x^{105}+x^{104}+x^{103}+x^{102}+x^{101}\\||+x^{100}+x^{99}+x^{98}+x^{97}+x^{96}+x^{95}+x^{94}+x^{93}+x^{92}+x^{91}\\||+x^{90}+x^{89}+x^{88}+x^{87}+x^{86}+x^{85}+x^{84}+x^{83}+x^{82}+x^{81}\\||+x^{80}+x^{79}+x^{78}+x^{77}+x^{76}+x^{75}+x^{74}+x^{73}+x^{72}+x^{71}\\||+x^{70}+x^{69}+x^{68}+x^{67}+x^{66}+x^{65}+x^{64}+x^{63}+x^{62}+x^{61}\\||+x^{60}+x^{59}+x^{58}+x^{57}+x^{56}+x^{55}+x^{54}+x^{53}+x^{52}+x^{51}\\||+x^{50}+x^{49}+x^{48}+x^{47}+x^{46}+x^{45}+x^{44}+x^{43}+x^{42}+x^{41}\\||+x^{40}+x^{39}+x^{38}+x^{37}+x^{36}+x^{35}+x^{34}+x^{33}+x^{32}+x^{31}\\||+x^{30}+x^{29}+x^{28}+x^{27}+x^{26}+x^{25}+x^{24}+x^{23}+x^{22}+x^{21}\\||+x^{20}+x^{19}+x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}\\||+x^{10}+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1\\{\large\Phi}_{192}(x)|=|\frac{x^{96}+1}{x^{32}+1}\\|=|x^{64}-x^{32}+1\\{\large\Phi}_{193}(x)|=|\frac{x^{193}-1}{x-1}\\|=|x^{192}+x^{191}+x^{190}+x^{189}+x^{188}+x^{187}+x^{186}+x^{185}+x^{184}+x^{183}\\||+x^{182}+x^{181}+x^{180}+x^{179}+x^{178}+x^{177}+x^{176}+x^{175}+x^{174}+x^{173}\\||+x^{172}+x^{171}+x^{170}+x^{169}+x^{168}+x^{167}+x^{166}+x^{165}+x^{164}+x^{163}\\||+x^{162}+x^{161}+x^{160}+x^{159}+x^{158}+x^{157}+x^{156}+x^{155}+x^{154}+x^{153}\\||+x^{152}+x^{151}+x^{150}+x^{149}+x^{148}+x^{147}+x^{146}+x^{145}+x^{144}+x^{143}\\||+x^{142}+x^{141}+x^{140}+x^{139}+x^{138}+x^{137}+x^{136}+x^{135}+x^{134}+x^{133}\\||+x^{132}+x^{131}+x^{130}+x^{129}+x^{128}+x^{127}+x^{126}+x^{125}+x^{124}+x^{123}\\||+x^{122}+x^{121}+x^{120}+x^{119}+x^{118}+x^{117}+x^{116}+x^{115}+x^{114}+x^{113}\\||+x^{112}+x^{111}+x^{110}+x^{109}+x^{108}+x^{107}+x^{106}+x^{105}+x^{104}+x^{103}\\||+x^{102}+x^{101}+x^{100}+x^{99}+x^{98}+x^{97}+x^{96}+x^{95}+x^{94}+x^{93}\\||+x^{92}+x^{91}+x^{90}+x^{89}+x^{88}+x^{87}+x^{86}+x^{85}+x^{84}+x^{83}\\||+x^{82}+x^{81}+x^{80}+x^{79}+x^{78}+x^{77}+x^{76}+x^{75}+x^{74}+x^{73}\\||+x^{72}+x^{71}+x^{70}+x^{69}+x^{68}+x^{67}+x^{66}+x^{65}+x^{64}+x^{63}\\||+x^{62}+x^{61}+x^{60}+x^{59}+x^{58}+x^{57}+x^{56}+x^{55}+x^{54}+x^{53}\\||+x^{52}+x^{51}+x^{50}+x^{49}+x^{48}+x^{47}+x^{46}+x^{45}+x^{44}+x^{43}\\||+x^{42}+x^{41}+x^{40}+x^{39}+x^{38}+x^{37}+x^{36}+x^{35}+x^{34}+x^{33}\\||+x^{32}+x^{31}+x^{30}+x^{29}+x^{28}+x^{27}+x^{26}+x^{25}+x^{24}+x^{23}\\||+x^{22}+x^{21}+x^{20}+x^{19}+x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}\\||+x^{12}+x^{11}+x^{10}+x^9+x^8+x^7+x^6+x^5+x^4+x^3\\||+x^2+x+1\\{\large\Phi}_{194}(x)|=|\frac{x^{97}+1}{x+1}\\|=|x^{96}-x^{95}+x^{94}-x^{93}+x^{92}-x^{91}+x^{90}-x^{89}+x^{88}-x^{87}\\||+x^{86}-x^{85}+x^{84}-x^{83}+x^{82}-x^{81}+x^{80}-x^{79}+x^{78}-x^{77}\\||+x^{76}-x^{75}+x^{74}-x^{73}+x^{72}-x^{71}+x^{70}-x^{69}+x^{68}-x^{67}\\||+x^{66}-x^{65}+x^{64}-x^{63}+x^{62}-x^{61}+x^{60}-x^{59}+x^{58}-x^{57}\\||+x^{56}-x^{55}+x^{54}-x^{53}+x^{52}-x^{51}+x^{50}-x^{49}+x^{48}-x^{47}\\||+x^{46}-x^{45}+x^{44}-x^{43}+x^{42}-x^{41}+x^{40}-x^{39}+x^{38}-x^{37}\\||+x^{36}-x^{35}+x^{34}-x^{33}+x^{32}-x^{31}+x^{30}-x^{29}+x^{28}-x^{27}\\||+x^{26}-x^{25}+x^{24}-x^{23}+x^{22}-x^{21}+x^{20}-x^{19}+x^{18}-x^{17}\\||+x^{16}-x^{15}+x^{14}-x^{13}+x^{12}-x^{11}+x^{10}-x^9+x^8-x^7\\||+x^6-x^5+x^4-x^3+x^2-x+1\\{\large\Phi}_{195}(x)|=|\frac{(x^3-1)(x^5-1)(x^{13}-1)(x^{195}-1)}{(x-1)(x^{15}-1)(x^{39}-1)(x^{65}-1)}\\|=|x^{96}+x^{95}+x^{94}-x^{91}-x^{90}-x^{89}-x^{83}-x^{82}+x^{80}+x^{79}\\||+x^{78}+x^{77}-x^{75}-x^{74}-x^{68}-x^{67}+x^{65}+x^{64}+x^{63}+x^{62}\\||-x^{60}-x^{59}+x^{57}+x^{56}+x^{55}-x^{53}-2x^{52}-x^{51}+x^{49}+x^{48}\\||+x^{47}-x^{45}-2x^{44}-x^{43}+x^{41}+x^{40}+x^{39}-x^{37}-x^{36}+x^{34}\\||+x^{33}+x^{32}+x^{31}-x^{29}-x^{28}-x^{22}-x^{21}+x^{19}+x^{18}+x^{17}\\||+x^{16}-x^{14}-x^{13}-x^7-x^6-x^5+x^2+x+1\\{\large\Phi}_{196}(x)|=|\frac{x^{98}+1}{x^{14}+1}\\|=|x^{84}-x^{70}+x^{56}-x^{42}+x^{28}-x^{14}+1\\{\large\Phi}_{197}(x)|=|\frac{x^{197}-1}{x-1}\\|=|x^{196}+x^{195}+x^{194}+x^{193}+x^{192}+x^{191}+x^{190}+x^{189}+x^{188}+x^{187}\\||+x^{186}+x^{185}+x^{184}+x^{183}+x^{182}+x^{181}+x^{180}+x^{179}+x^{178}+x^{177}\\||+x^{176}+x^{175}+x^{174}+x^{173}+x^{172}+x^{171}+x^{170}+x^{169}+x^{168}+x^{167}\\||+x^{166}+x^{165}+x^{164}+x^{163}+x^{162}+x^{161}+x^{160}+x^{159}+x^{158}+x^{157}\\||+x^{156}+x^{155}+x^{154}+x^{153}+x^{152}+x^{151}+x^{150}+x^{149}+x^{148}+x^{147}\\||+x^{146}+x^{145}+x^{144}+x^{143}+x^{142}+x^{141}+x^{140}+x^{139}+x^{138}+x^{137}\\||+x^{136}+x^{135}+x^{134}+x^{133}+x^{132}+x^{131}+x^{130}+x^{129}+x^{128}+x^{127}\\||+x^{126}+x^{125}+x^{124}+x^{123}+x^{122}+x^{121}+x^{120}+x^{119}+x^{118}+x^{117}\\||+x^{116}+x^{115}+x^{114}+x^{113}+x^{112}+x^{111}+x^{110}+x^{109}+x^{108}+x^{107}\\||+x^{106}+x^{105}+x^{104}+x^{103}+x^{102}+x^{101}+x^{100}+x^{99}+x^{98}+x^{97}\\||+x^{96}+x^{95}+x^{94}+x^{93}+x^{92}+x^{91}+x^{90}+x^{89}+x^{88}+x^{87}\\||+x^{86}+x^{85}+x^{84}+x^{83}+x^{82}+x^{81}+x^{80}+x^{79}+x^{78}+x^{77}\\||+x^{76}+x^{75}+x^{74}+x^{73}+x^{72}+x^{71}+x^{70}+x^{69}+x^{68}+x^{67}\\||+x^{66}+x^{65}+x^{64}+x^{63}+x^{62}+x^{61}+x^{60}+x^{59}+x^{58}+x^{57}\\||+x^{56}+x^{55}+x^{54}+x^{53}+x^{52}+x^{51}+x^{50}+x^{49}+x^{48}+x^{47}\\||+x^{46}+x^{45}+x^{44}+x^{43}+x^{42}+x^{41}+x^{40}+x^{39}+x^{38}+x^{37}\\||+x^{36}+x^{35}+x^{34}+x^{33}+x^{32}+x^{31}+x^{30}+x^{29}+x^{28}+x^{27}\\||+x^{26}+x^{25}+x^{24}+x^{23}+x^{22}+x^{21}+x^{20}+x^{19}+x^{18}+x^{17}\\||+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}+x^{10}+x^9+x^8+x^7\\||+x^6+x^5+x^4+x^3+x^2+x+1\\{\large\Phi}_{198}(x)|=|\frac{(x^3+1)(x^{99}+1)}{(x^9+1)(x^{33}+1)}\\|=|x^{60}+x^{57}-x^{51}-x^{48}+x^{42}+x^{39}-x^{33}-x^{30}-x^{27}+x^{21}\\||+x^{18}-x^{12}-x^9+x^3+1\\{\large\Phi}_{199}(x)|=|\frac{x^{199}-1}{x-1}\\|=|x^{198}+x^{197}+x^{196}+x^{195}+x^{194}+x^{193}+x^{192}+x^{191}+x^{190}+x^{189}\\||+x^{188}+x^{187}+x^{186}+x^{185}+x^{184}+x^{183}+x^{182}+x^{181}+x^{180}+x^{179}\\||+x^{178}+x^{177}+x^{176}+x^{175}+x^{174}+x^{173}+x^{172}+x^{171}+x^{170}+x^{169}\\||+x^{168}+x^{167}+x^{166}+x^{165}+x^{164}+x^{163}+x^{162}+x^{161}+x^{160}+x^{159}\\||+x^{158}+x^{157}+x^{156}+x^{155}+x^{154}+x^{153}+x^{152}+x^{151}+x^{150}+x^{149}\\||+x^{148}+x^{147}+x^{146}+x^{145}+x^{144}+x^{143}+x^{142}+x^{141}+x^{140}+x^{139}\\||+x^{138}+x^{137}+x^{136}+x^{135}+x^{134}+x^{133}+x^{132}+x^{131}+x^{130}+x^{129}\\||+x^{128}+x^{127}+x^{126}+x^{125}+x^{124}+x^{123}+x^{122}+x^{121}+x^{120}+x^{119}\\||+x^{118}+x^{117}+x^{116}+x^{115}+x^{114}+x^{113}+x^{112}+x^{111}+x^{110}+x^{109}\\||+x^{108}+x^{107}+x^{106}+x^{105}+x^{104}+x^{103}+x^{102}+x^{101}+x^{100}+x^{99}\\||+x^{98}+x^{97}+x^{96}+x^{95}+x^{94}+x^{93}+x^{92}+x^{91}+x^{90}+x^{89}\\||+x^{88}+x^{87}+x^{86}+x^{85}+x^{84}+x^{83}+x^{82}+x^{81}+x^{80}+x^{79}\\||+x^{78}+x^{77}+x^{76}+x^{75}+x^{74}+x^{73}+x^{72}+x^{71}+x^{70}+x^{69}\\||+x^{68}+x^{67}+x^{66}+x^{65}+x^{64}+x^{63}+x^{62}+x^{61}+x^{60}+x^{59}\\||+x^{58}+x^{57}+x^{56}+x^{55}+x^{54}+x^{53}+x^{52}+x^{51}+x^{50}+x^{49}\\||+x^{48}+x^{47}+x^{46}+x^{45}+x^{44}+x^{43}+x^{42}+x^{41}+x^{40}+x^{39}\\||+x^{38}+x^{37}+x^{36}+x^{35}+x^{34}+x^{33}+x^{32}+x^{31}+x^{30}+x^{29}\\||+x^{28}+x^{27}+x^{26}+x^{25}+x^{24}+x^{23}+x^{22}+x^{21}+x^{20}+x^{19}\\||+x^{18}+x^{17}+x^{16}+x^{15}+x^{14}+x^{13}+x^{12}+x^{11}+x^{10}+x^9\\||+x^8+x^7+x^6+x^5+x^4+x^3+x^2+x+1\\{\large\Phi}_{200}(x)|=|\frac{x^{100}+1}{x^{20}+1}\\|=|x^{80}-x^{60}+x^{40}-x^{20}+1\end{eqnarray}%%

5.4. Links related to cyclotomic polynomials 円分多項式の関連リンク

6. Aurifeuillean factorization of cyclotomic numbers 円分数のオーラフィーユ因数分解

Aurifeuillean is also written as Aurifeuillian.Aurifeuillean は Aurifeuillian とも書く。

6.1. List of Aurifeuillean factorization of cyclotomic numbers 円分数のオーラフィーユ因数分解の一覧

Φ4(22k+1)⋯Φ20(102k+1)Φ4(22k+1)⋯Φ20(102k+1)
Φ4(22k+1)=24k+2+1=(22k+1−2k+1+1)×(22k+1+2k+1+1)Φ6(32k+1)=34k+2−32k+1+1=(32k+1−3k+1+1)×(32k+1+3k+1+1)Φ5(52k+1)=58k+4+56k+3+54k+2+52k+1+1=(54k+2−53k+2+3⋅52k+1−5k+1+1)×(54k+2+53k+2+3⋅52k+1+5k+1+1)Φ12(62k+1)=68k+4−64k+2+1=(64k+2−63k+2+3⋅62k+1−6k+1+1)×(64k+2+63k+2+3⋅62k+1+6k+1+1)Φ14(72k+1)=712k+6−710k+5+78k+4−76k+3+74k+2−72k+1+1=(76k+3−75k+3+3⋅74k+2−73k+2+3⋅72k+1−7k+1+1)×(76k+3+75k+3+3⋅74k+2+73k+2+3⋅72k+1+7k+1+1)Φ20(102k+1)=1016k+8−1012k+6+108k+4−104k+2+1=(108k+4−107k+4+5⋅106k+3−2⋅105k+3+7⋅104k+2−2⋅103k+2+5⋅102k+1−10k+1+1)×(108k+4+107k+4+5⋅106k+3+2⋅105k+3+7⋅104k+2+2⋅103k+2+5⋅102k+1+10k+1+1)
Φ22(112k+1)⋯Φ38(192k+1)Φ22(112k+1)⋯Φ38(192k+1)
%%\begin{eqnarray}{\large\Phi}_{22}(11^{2k+1})|=|11^{20k+10}-11^{18k+9}+11^{16k+8}-11^{14k+7}+11^{12k+6}\\||-11^{10k+5}+11^{8k+4}-11^{6k+3}+11^{4k+2}-11^{2k+1}+1\\|=|(11^{10k+5}-11^{9k+5}+5\cdot 11^{8k+4}-11^{7k+4}-11^{6k+3}\\||+11^{5k+3}-11^{4k+2}-11^{3k+2}+5\cdot 11^{2k+1}-11^{k+1}+1)\\|\times|(11^{10k+5}+11^{9k+5}+5\cdot 11^{8k+4}+11^{7k+4}-11^{6k+3}\\||-11^{5k+3}-11^{4k+2}+11^{3k+2}+5\cdot 11^{2k+1}+11^{k+1}+1)\\{\large\Phi}_{13}(13^{2k+1})|=|13^{24k+12}+13^{22k+11}+13^{20k+10}+13^{18k+9}+13^{16k+8}\\||+13^{14k+7}+13^{12k+6}+13^{10k+5}+13^{8k+4}+13^{6k+3}\\||+13^{4k+2}+13^{2k+1}+1\\|=|(13^{12k+6}-13^{11k+6}+7\cdot 13^{10k+5}-3\cdot 13^{9k+5}+15\cdot 13^{8k+4}\\||-5\cdot 13^{7k+4}+19\cdot 13^{6k+3}-5\cdot 13^{5k+3}+15\cdot 13^{4k+2}-3\cdot 13^{3k+2}\\||+7\cdot 13^{2k+1}-13^{k+1}+1)\\|\times|(13^{12k+6}+13^{11k+6}+7\cdot 13^{10k+5}+3\cdot 13^{9k+5}+15\cdot 13^{8k+4}\\||+5\cdot 13^{7k+4}+19\cdot 13^{6k+3}+5\cdot 13^{5k+3}+15\cdot 13^{4k+2}+3\cdot 13^{3k+2}\\||+7\cdot 13^{2k+1}+13^{k+1}+1)\\{\large\Phi}_{28}(14^{2k+1})|=|14^{24k+12}-14^{20k+10}+14^{16k+8}-14^{12k+6}+14^{8k+4}\\||-14^{4k+2}+1\\|=|(14^{12k+6}-14^{11k+6}+7\cdot 14^{10k+5}-2\cdot 14^{9k+5}+3\cdot 14^{8k+4}\\||+14^{7k+4}-7\cdot 14^{6k+3}+14^{5k+3}+3\cdot 14^{4k+2}-2\cdot 14^{3k+2}\\||+7\cdot 14^{2k+1}-14^{k+1}+1)\\|\times|(14^{12k+6}+14^{11k+6}+7\cdot 14^{10k+5}+2\cdot 14^{9k+5}+3\cdot 14^{8k+4}\\||-14^{7k+4}-7\cdot 14^{6k+3}-14^{5k+3}+3\cdot 14^{4k+2}+2\cdot 14^{3k+2}\\||+7\cdot 14^{2k+1}+14^{k+1}+1)\\{\large\Phi}_{30}(15^{2k+1})|=|15^{16k+8}+15^{14k+7}-15^{10k+5}-15^{8k+4}-15^{6k+3}\\||+15^{2k+1}+1\\|=|(15^{8k+4}-15^{7k+4}+8\cdot 15^{6k+3}-3\cdot 15^{5k+3}+13\cdot 15^{4k+2}\\||-3\cdot 15^{3k+2}+8\cdot 15^{2k+1}-15^{k+1}+1)\\|\times|(15^{8k+4}+15^{7k+4}+8\cdot 15^{6k+3}+3\cdot 15^{5k+3}+13\cdot 15^{4k+2}\\||+3\cdot 15^{3k+2}+8\cdot 15^{2k+1}+15^{k+1}+1)\\{\large\Phi}_{17}(17^{2k+1})|=|17^{32k+16}+17^{30k+15}+17^{28k+14}+17^{26k+13}+17^{24k+12}\\||+17^{22k+11}+17^{20k+10}+17^{18k+9}+17^{16k+8}+17^{14k+7}\\||+17^{12k+6}+17^{10k+5}+17^{8k+4}+17^{6k+3}+17^{4k+2}\\||+17^{2k+1}+1\\|=|(17^{16k+8}-17^{15k+8}+9\cdot 17^{14k+7}-3\cdot 17^{13k+7}+11\cdot 17^{12k+6}\\||-17^{11k+6}-5\cdot 17^{10k+5}+3\cdot 17^{9k+5}-15\cdot 17^{8k+4}+3\cdot 17^{7k+4}\\||-5\cdot 17^{6k+3}-17^{5k+3}+11\cdot 17^{4k+2}-3\cdot 17^{3k+2}+9\cdot 17^{2k+1}\\||-17^{k+1}+1)\\|\times|(17^{16k+8}+17^{15k+8}+9\cdot 17^{14k+7}+3\cdot 17^{13k+7}+11\cdot 17^{12k+6}\\||+17^{11k+6}-5\cdot 17^{10k+5}-3\cdot 17^{9k+5}-15\cdot 17^{8k+4}-3\cdot 17^{7k+4}\\||-5\cdot 17^{6k+3}+17^{5k+3}+11\cdot 17^{4k+2}+3\cdot 17^{3k+2}+9\cdot 17^{2k+1}\\||+17^{k+1}+1)\\{\large\Phi}_{38}(19^{2k+1})|=|19^{36k+18}-19^{34k+17}+19^{32k+16}-19^{30k+15}+19^{28k+14}\\||-19^{26k+13}+19^{24k+12}-19^{22k+11}+19^{20k+10}-19^{18k+9}\\||+19^{16k+8}-19^{14k+7}+19^{12k+6}-19^{10k+5}+19^{8k+4}\\||-19^{6k+3}+19^{4k+2}-19^{2k+1}+1\\|=|(19^{18k+9}-19^{17k+9}+9\cdot 19^{16k+8}-3\cdot 19^{15k+8}+17\cdot 19^{14k+7}\\||-5\cdot 19^{13k+7}+27\cdot 19^{12k+6}-7\cdot 19^{11k+6}+31\cdot 19^{10k+5}-7\cdot 19^{9k+5}\\||+31\cdot 19^{8k+4}-7\cdot 19^{7k+4}+27\cdot 19^{6k+3}-5\cdot 19^{5k+3}+17\cdot 19^{4k+2}\\||-3\cdot 19^{3k+2}+9\cdot 19^{2k+1}-19^{k+1}+1)\\|\times|(19^{18k+9}+19^{17k+9}+9\cdot 19^{16k+8}+3\cdot 19^{15k+8}+17\cdot 19^{14k+7}\\||+5\cdot 19^{13k+7}+27\cdot 19^{12k+6}+7\cdot 19^{11k+6}+31\cdot 19^{10k+5}+7\cdot 19^{9k+5}\\||+31\cdot 19^{8k+4}+7\cdot 19^{7k+4}+27\cdot 19^{6k+3}+5\cdot 19^{5k+3}+17\cdot 19^{4k+2}\\||+3\cdot 19^{3k+2}+9\cdot 19^{2k+1}+19^{k+1}+1)\end{eqnarray}%%
Φ21(212k+1)⋯Φ60(302k+1)Φ21(212k+1)⋯Φ60(302k+1)
%%\begin{eqnarray}{\large\Phi}_{21}(21^{2k+1})|=|21^{24k+12}-21^{22k+11}+21^{18k+9}-21^{16k+8}+21^{12k+6}\\||-21^{8k+4}+21^{6k+3}-21^{2k+1}+1\\|=|(21^{12k+6}-21^{11k+6}+10\cdot 21^{10k+5}-3\cdot 21^{9k+5}+13\cdot 21^{8k+4}\\||-2\cdot 21^{7k+4}+7\cdot 21^{6k+3}-2\cdot 21^{5k+3}+13\cdot 21^{4k+2}-3\cdot 21^{3k+2}\\||+10\cdot 21^{2k+1}-21^{k+1}+1)\\|\times|(21^{12k+6}+21^{11k+6}+10\cdot 21^{10k+5}+3\cdot 21^{9k+5}+13\cdot 21^{8k+4}\\||+2\cdot 21^{7k+4}+7\cdot 21^{6k+3}+2\cdot 21^{5k+3}+13\cdot 21^{4k+2}+3\cdot 21^{3k+2}\\||+10\cdot 21^{2k+1}+21^{k+1}+1)\\{\large\Phi}_{44}(22^{2k+1})|=|22^{40k+20}-22^{36k+18}+22^{32k+16}-22^{28k+14}+22^{24k+12}\\||-22^{20k+10}+22^{16k+8}-22^{12k+6}+22^{8k+4}-22^{4k+2}+1\\|=|(22^{20k+10}-22^{19k+10}+11\cdot 22^{18k+9}-4\cdot 22^{17k+9}+27\cdot 22^{16k+8}\\||-7\cdot 22^{15k+8}+33\cdot 22^{14k+7}-6\cdot 22^{13k+7}+21\cdot 22^{12k+6}-3\cdot 22^{11k+6}\\||+11\cdot 22^{10k+5}-3\cdot 22^{9k+5}+21\cdot 22^{8k+4}-6\cdot 22^{7k+4}+33\cdot 22^{6k+3}\\||-7\cdot 22^{5k+3}+27\cdot 22^{4k+2}-4\cdot 22^{3k+2}+11\cdot 22^{2k+1}-22^{k+1}+1)\\|\times|(22^{20k+10}+22^{19k+10}+11\cdot 22^{18k+9}+4\cdot 22^{17k+9}+27\cdot 22^{16k+8}\\||+7\cdot 22^{15k+8}+33\cdot 22^{14k+7}+6\cdot 22^{13k+7}+21\cdot 22^{12k+6}+3\cdot 22^{11k+6}\\||+11\cdot 22^{10k+5}+3\cdot 22^{9k+5}+21\cdot 22^{8k+4}+6\cdot 22^{7k+4}+33\cdot 22^{6k+3}\\||+7\cdot 22^{5k+3}+27\cdot 22^{4k+2}+4\cdot 22^{3k+2}+11\cdot 22^{2k+1}+22^{k+1}+1)\\{\large\Phi}_{46}(23^{2k+1})|=|23^{44k+22}-23^{42k+21}+23^{40k+20}-23^{38k+19}+23^{36k+18}\\||-23^{34k+17}+23^{32k+16}-23^{30k+15}+23^{28k+14}-23^{26k+13}\\||+23^{24k+12}-23^{22k+11}+23^{20k+10}-23^{18k+9}+23^{16k+8}\\||-23^{14k+7}+23^{12k+6}-23^{10k+5}+23^{8k+4}-23^{6k+3}\\||+23^{4k+2}-23^{2k+1}+1\\|=|(23^{22k+11}-23^{21k+11}+11\cdot 23^{20k+10}-3\cdot 23^{19k+10}+9\cdot 23^{18k+9}\\||+23^{17k+9}-19\cdot 23^{16k+8}+5\cdot 23^{15k+8}-15\cdot 23^{14k+7}-23^{13k+7}\\||+25\cdot 23^{12k+6}-7\cdot 23^{11k+6}+25\cdot 23^{10k+5}-23^{9k+5}-15\cdot 23^{8k+4}\\||+5\cdot 23^{7k+4}-19\cdot 23^{6k+3}+23^{5k+3}+9\cdot 23^{4k+2}-3\cdot 23^{3k+2}\\||+11\cdot 23^{2k+1}-23^{k+1}+1)\\|\times|(23^{22k+11}+23^{21k+11}+11\cdot 23^{20k+10}+3\cdot 23^{19k+10}+9\cdot 23^{18k+9}\\||-23^{17k+9}-19\cdot 23^{16k+8}-5\cdot 23^{15k+8}-15\cdot 23^{14k+7}+23^{13k+7}\\||+25\cdot 23^{12k+6}+7\cdot 23^{11k+6}+25\cdot 23^{10k+5}+23^{9k+5}-15\cdot 23^{8k+4}\\||-5\cdot 23^{7k+4}-19\cdot 23^{6k+3}-23^{5k+3}+9\cdot 23^{4k+2}+3\cdot 23^{3k+2}\\||+11\cdot 23^{2k+1}+23^{k+1}+1)\\{\large\Phi}_{52}(26^{2k+1})|=|26^{48k+24}-26^{44k+22}+26^{40k+20}-26^{36k+18}+26^{32k+16}\\||-26^{28k+14}+26^{24k+12}-26^{20k+10}+26^{16k+8}-26^{12k+6}\\||+26^{8k+4}-26^{4k+2}+1\\|=|(26^{24k+12}-26^{23k+12}+13\cdot 26^{22k+11}-4\cdot 26^{21k+11}+19\cdot 26^{20k+10}\\||-26^{19k+10}-13\cdot 26^{18k+9}+4\cdot 26^{17k+9}-11\cdot 26^{16k+8}-26^{15k+8}\\||+13\cdot 26^{14k+7}-2\cdot 26^{13k+7}+7\cdot 26^{12k+6}-2\cdot 26^{11k+6}+13\cdot 26^{10k+5}\\||-26^{9k+5}-11\cdot 26^{8k+4}+4\cdot 26^{7k+4}-13\cdot 26^{6k+3}-26^{5k+3}\\||+19\cdot 26^{4k+2}-4\cdot 26^{3k+2}+13\cdot 26^{2k+1}-26^{k+1}+1)\\|\times|(26^{24k+12}+26^{23k+12}+13\cdot 26^{22k+11}+4\cdot 26^{21k+11}+19\cdot 26^{20k+10}\\||+26^{19k+10}-13\cdot 26^{18k+9}-4\cdot 26^{17k+9}-11\cdot 26^{16k+8}+26^{15k+8}\\||+13\cdot 26^{14k+7}+2\cdot 26^{13k+7}+7\cdot 26^{12k+6}+2\cdot 26^{11k+6}+13\cdot 26^{10k+5}\\||+26^{9k+5}-11\cdot 26^{8k+4}-4\cdot 26^{7k+4}-13\cdot 26^{6k+3}+26^{5k+3}\\||+19\cdot 26^{4k+2}+4\cdot 26^{3k+2}+13\cdot 26^{2k+1}+26^{k+1}+1)\\{\large\Phi}_{29}(29^{2k+1})|=|29^{56k+28}+29^{54k+27}+29^{52k+26}+29^{50k+25}+29^{48k+24}\\||+29^{46k+23}+29^{44k+22}+29^{42k+21}+29^{40k+20}+29^{38k+19}\\||+29^{36k+18}+29^{34k+17}+29^{32k+16}+29^{30k+15}+29^{28k+14}\\||+29^{26k+13}+29^{24k+12}+29^{22k+11}+29^{20k+10}+29^{18k+9}\\||+29^{16k+8}+29^{14k+7}+29^{12k+6}+29^{10k+5}+29^{8k+4}\\||+29^{6k+3}+29^{4k+2}+29^{2k+1}+1\\|=|(29^{28k+14}-29^{27k+14}+15\cdot 29^{26k+13}-5\cdot 29^{25k+13}+33\cdot 29^{24k+12}\\||-5\cdot 29^{23k+12}+13\cdot 29^{22k+11}-29^{21k+11}+15\cdot 29^{20k+10}-7\cdot 29^{19k+10}\\||+57\cdot 29^{18k+9}-11\cdot 29^{17k+9}+45\cdot 29^{16k+8}-5\cdot 29^{15k+8}+19\cdot 29^{14k+7}\\||-5\cdot 29^{13k+7}+45\cdot 29^{12k+6}-11\cdot 29^{11k+6}+57\cdot 29^{10k+5}-7\cdot 29^{9k+5}\\||+15\cdot 29^{8k+4}-29^{7k+4}+13\cdot 29^{6k+3}-5\cdot 29^{5k+3}+33\cdot 29^{4k+2}\\||-5\cdot 29^{3k+2}+15\cdot 29^{2k+1}-29^{k+1}+1)\\|\times|(29^{28k+14}+29^{27k+14}+15\cdot 29^{26k+13}+5\cdot 29^{25k+13}+33\cdot 29^{24k+12}\\||+5\cdot 29^{23k+12}+13\cdot 29^{22k+11}+29^{21k+11}+15\cdot 29^{20k+10}+7\cdot 29^{19k+10}\\||+57\cdot 29^{18k+9}+11\cdot 29^{17k+9}+45\cdot 29^{16k+8}+5\cdot 29^{15k+8}+19\cdot 29^{14k+7}\\||+5\cdot 29^{13k+7}+45\cdot 29^{12k+6}+11\cdot 29^{11k+6}+57\cdot 29^{10k+5}+7\cdot 29^{9k+5}\\||+15\cdot 29^{8k+4}+29^{7k+4}+13\cdot 29^{6k+3}+5\cdot 29^{5k+3}+33\cdot 29^{4k+2}\\||+5\cdot 29^{3k+2}+15\cdot 29^{2k+1}+29^{k+1}+1)\\{\large\Phi}_{60}(30^{2k+1})|=|30^{32k+16}+30^{28k+14}-30^{20k+10}-30^{16k+8}-30^{12k+6}\\||+30^{4k+2}+1\\|=|(30^{16k+8}-30^{15k+8}+15\cdot 30^{14k+7}-5\cdot 30^{13k+7}+38\cdot 30^{12k+6}\\||-8\cdot 30^{11k+6}+45\cdot 30^{10k+5}-8\cdot 30^{9k+5}+43\cdot 30^{8k+4}-8\cdot 30^{7k+4}\\||+45\cdot 30^{6k+3}-8\cdot 30^{5k+3}+38\cdot 30^{4k+2}-5\cdot 30^{3k+2}+15\cdot 30^{2k+1}\\||-30^{k+1}+1)\\|\times|(30^{16k+8}+30^{15k+8}+15\cdot 30^{14k+7}+5\cdot 30^{13k+7}+38\cdot 30^{12k+6}\\||+8\cdot 30^{11k+6}+45\cdot 30^{10k+5}+8\cdot 30^{9k+5}+43\cdot 30^{8k+4}+8\cdot 30^{7k+4}\\||+45\cdot 30^{6k+3}+8\cdot 30^{5k+3}+38\cdot 30^{4k+2}+5\cdot 30^{3k+2}+15\cdot 30^{2k+1}\\||+30^{k+1}+1)\end{eqnarray}%%
Φ62(312k+1)⋯Φ78(392k+1)Φ62(312k+1)⋯Φ78(392k+1)
%%\begin{eqnarray}{\large\Phi}_{62}(31^{2k+1})|=|31^{60k+30}-31^{58k+29}+31^{56k+28}-31^{54k+27}+31^{52k+26}\\||-31^{50k+25}+31^{48k+24}-31^{46k+23}+31^{44k+22}-31^{42k+21}\\||+31^{40k+20}-31^{38k+19}+31^{36k+18}-31^{34k+17}+31^{32k+16}\\||-31^{30k+15}+31^{28k+14}-31^{26k+13}+31^{24k+12}-31^{22k+11}\\||+31^{20k+10}-31^{18k+9}+31^{16k+8}-31^{14k+7}+31^{12k+6}\\||-31^{10k+5}+31^{8k+4}-31^{6k+3}+31^{4k+2}-31^{2k+1}+1\\|=|(31^{30k+15}-31^{29k+15}+15\cdot 31^{28k+14}-5\cdot 31^{27k+14}+43\cdot 31^{26k+13}\\||-11\cdot 31^{25k+13}+83\cdot 31^{24k+12}-19\cdot 31^{23k+12}+125\cdot 31^{22k+11}-25\cdot 31^{21k+11}\\||+151\cdot 31^{20k+10}-29\cdot 31^{19k+10}+169\cdot 31^{18k+9}-31\cdot 31^{17k+9}+173\cdot 31^{16k+8}\\||-31\cdot 31^{15k+8}+173\cdot 31^{14k+7}-31\cdot 31^{13k+7}+169\cdot 31^{12k+6}-29\cdot 31^{11k+6}\\||+151\cdot 31^{10k+5}-25\cdot 31^{9k+5}+125\cdot 31^{8k+4}-19\cdot 31^{7k+4}+83\cdot 31^{6k+3}\\||-11\cdot 31^{5k+3}+43\cdot 31^{4k+2}-5\cdot 31^{3k+2}+15\cdot 31^{2k+1}-31^{k+1}+1)\\|\times|(31^{30k+15}+31^{29k+15}+15\cdot 31^{28k+14}+5\cdot 31^{27k+14}+43\cdot 31^{26k+13}\\||+11\cdot 31^{25k+13}+83\cdot 31^{24k+12}+19\cdot 31^{23k+12}+125\cdot 31^{22k+11}+25\cdot 31^{21k+11}\\||+151\cdot 31^{20k+10}+29\cdot 31^{19k+10}+169\cdot 31^{18k+9}+31\cdot 31^{17k+9}+173\cdot 31^{16k+8}\\||+31\cdot 31^{15k+8}+173\cdot 31^{14k+7}+31\cdot 31^{13k+7}+169\cdot 31^{12k+6}+29\cdot 31^{11k+6}\\||+151\cdot 31^{10k+5}+25\cdot 31^{9k+5}+125\cdot 31^{8k+4}+19\cdot 31^{7k+4}+83\cdot 31^{6k+3}\\||+11\cdot 31^{5k+3}+43\cdot 31^{4k+2}+5\cdot 31^{3k+2}+15\cdot 31^{2k+1}+31^{k+1}+1)\\{\large\Phi}_{33}(33^{2k+1})|=|33^{40k+20}-33^{38k+19}+33^{34k+17}-33^{32k+16}+33^{28k+14}\\||-33^{26k+13}+33^{22k+11}-33^{20k+10}+33^{18k+9}-33^{14k+7}\\||+33^{12k+6}-33^{8k+4}+33^{6k+3}-33^{2k+1}+1\\|=|(33^{20k+10}-33^{19k+10}+16\cdot 33^{18k+9}-5\cdot 33^{17k+9}+37\cdot 33^{16k+8}\\||-6\cdot 33^{15k+8}+19\cdot 33^{14k+7}+33^{13k+7}-32\cdot 33^{12k+6}+9\cdot 33^{11k+6}\\||-59\cdot 33^{10k+5}+9\cdot 33^{9k+5}-32\cdot 33^{8k+4}+33^{7k+4}+19\cdot 33^{6k+3}\\||-6\cdot 33^{5k+3}+37\cdot 33^{4k+2}-5\cdot 33^{3k+2}+16\cdot 33^{2k+1}-33^{k+1}+1)\\|\times|(33^{20k+10}+33^{19k+10}+16\cdot 33^{18k+9}+5\cdot 33^{17k+9}+37\cdot 33^{16k+8}\\||+6\cdot 33^{15k+8}+19\cdot 33^{14k+7}-33^{13k+7}-32\cdot 33^{12k+6}-9\cdot 33^{11k+6}\\||-59\cdot 33^{10k+5}-9\cdot 33^{9k+5}-32\cdot 33^{8k+4}-33^{7k+4}+19\cdot 33^{6k+3}\\||+6\cdot 33^{5k+3}+37\cdot 33^{4k+2}+5\cdot 33^{3k+2}+16\cdot 33^{2k+1}+33^{k+1}+1)\\{\large\Phi}_{68}(34^{2k+1})|=|34^{64k+32}-34^{60k+30}+34^{56k+28}-34^{52k+26}+34^{48k+24}\\||-34^{44k+22}+34^{40k+20}-34^{36k+18}+34^{32k+16}-34^{28k+14}\\||+34^{24k+12}-34^{20k+10}+34^{16k+8}-34^{12k+6}+34^{8k+4}\\||-34^{4k+2}+1\\|=|(34^{32k+16}-34^{31k+16}+17\cdot 34^{30k+15}-6\cdot 34^{29k+15}+59\cdot 34^{28k+14}\\||-15\cdot 34^{27k+14}+119\cdot 34^{26k+13}-26\cdot 34^{25k+13}+181\cdot 34^{24k+12}-35\cdot 34^{23k+12}\\||+221\cdot 34^{22k+11}-40\cdot 34^{21k+11}+243\cdot 34^{20k+10}-43\cdot 34^{19k+10}+255\cdot 34^{18k+9}\\||-44\cdot 34^{17k+9}+257\cdot 34^{16k+8}-44\cdot 34^{15k+8}+255\cdot 34^{14k+7}-43\cdot 34^{13k+7}\\||+243\cdot 34^{12k+6}-40\cdot 34^{11k+6}+221\cdot 34^{10k+5}-35\cdot 34^{9k+5}+181\cdot 34^{8k+4}\\||-26\cdot 34^{7k+4}+119\cdot 34^{6k+3}-15\cdot 34^{5k+3}+59\cdot 34^{4k+2}-6\cdot 34^{3k+2}\\||+17\cdot 34^{2k+1}-34^{k+1}+1)\\|\times|(34^{32k+16}+34^{31k+16}+17\cdot 34^{30k+15}+6\cdot 34^{29k+15}+59\cdot 34^{28k+14}\\||+15\cdot 34^{27k+14}+119\cdot 34^{26k+13}+26\cdot 34^{25k+13}+181\cdot 34^{24k+12}+35\cdot 34^{23k+12}\\||+221\cdot 34^{22k+11}+40\cdot 34^{21k+11}+243\cdot 34^{20k+10}+43\cdot 34^{19k+10}+255\cdot 34^{18k+9}\\||+44\cdot 34^{17k+9}+257\cdot 34^{16k+8}+44\cdot 34^{15k+8}+255\cdot 34^{14k+7}+43\cdot 34^{13k+7}\\||+243\cdot 34^{12k+6}+40\cdot 34^{11k+6}+221\cdot 34^{10k+5}+35\cdot 34^{9k+5}+181\cdot 34^{8k+4}\\||+26\cdot 34^{7k+4}+119\cdot 34^{6k+3}+15\cdot 34^{5k+3}+59\cdot 34^{4k+2}+6\cdot 34^{3k+2}\\||+17\cdot 34^{2k+1}+34^{k+1}+1)\\{\large\Phi}_{70}(35^{2k+1})|=|35^{48k+24}+35^{46k+23}-35^{38k+19}-35^{36k+18}-35^{34k+17}\\||-35^{32k+16}+35^{28k+14}+35^{26k+13}+35^{24k+12}+35^{22k+11}\\||+35^{20k+10}-35^{16k+8}-35^{14k+7}-35^{12k+6}-35^{10k+5}\\||+35^{2k+1}+1\\|=|(35^{24k+12}-35^{23k+12}+18\cdot 35^{22k+11}-6\cdot 35^{21k+11}+48\cdot 35^{20k+10}\\||-7\cdot 35^{19k+10}+11\cdot 35^{18k+9}+5\cdot 35^{17k+9}-55\cdot 35^{16k+8}+8\cdot 35^{15k+8}\\||-11\cdot 35^{14k+7}-5\cdot 35^{13k+7}+47\cdot 35^{12k+6}-5\cdot 35^{11k+6}-11\cdot 35^{10k+5}\\||+8\cdot 35^{9k+5}-55\cdot 35^{8k+4}+5\cdot 35^{7k+4}+11\cdot 35^{6k+3}-7\cdot 35^{5k+3}\\||+48\cdot 35^{4k+2}-6\cdot 35^{3k+2}+18\cdot 35^{2k+1}-35^{k+1}+1)\\|\times|(35^{24k+12}+35^{23k+12}+18\cdot 35^{22k+11}+6\cdot 35^{21k+11}+48\cdot 35^{20k+10}\\||+7\cdot 35^{19k+10}+11\cdot 35^{18k+9}-5\cdot 35^{17k+9}-55\cdot 35^{16k+8}-8\cdot 35^{15k+8}\\||-11\cdot 35^{14k+7}+5\cdot 35^{13k+7}+47\cdot 35^{12k+6}+5\cdot 35^{11k+6}-11\cdot 35^{10k+5}\\||-8\cdot 35^{9k+5}-55\cdot 35^{8k+4}-5\cdot 35^{7k+4}+11\cdot 35^{6k+3}+7\cdot 35^{5k+3}\\||+48\cdot 35^{4k+2}+6\cdot 35^{3k+2}+18\cdot 35^{2k+1}+35^{k+1}+1)\\{\large\Phi}_{37}(37^{2k+1})|=|37^{72k+36}+37^{70k+35}+37^{68k+34}+37^{66k+33}+37^{64k+32}\\||+37^{62k+31}+37^{60k+30}+37^{58k+29}+37^{56k+28}+37^{54k+27}\\||+37^{52k+26}+37^{50k+25}+37^{48k+24}+37^{46k+23}+37^{44k+22}\\||+37^{42k+21}+37^{40k+20}+37^{38k+19}+37^{36k+18}+37^{34k+17}\\||+37^{32k+16}+37^{30k+15}+37^{28k+14}+37^{26k+13}+37^{24k+12}\\||+37^{22k+11}+37^{20k+10}+37^{18k+9}+37^{16k+8}+37^{14k+7}\\||+37^{12k+6}+37^{10k+5}+37^{8k+4}+37^{6k+3}+37^{4k+2}\\||+37^{2k+1}+1\\|=|(37^{36k+18}-37^{35k+18}+19\cdot 37^{34k+17}-7\cdot 37^{33k+17}+79\cdot 37^{32k+16}\\||-21\cdot 37^{31k+16}+183\cdot 37^{30k+15}-39\cdot 37^{29k+15}+285\cdot 37^{28k+14}-53\cdot 37^{27k+14}\\||+349\cdot 37^{26k+13}-61\cdot 37^{25k+13}+397\cdot 37^{24k+12}-71\cdot 37^{23k+12}+477\cdot 37^{22k+11}\\||-87\cdot 37^{21k+11}+579\cdot 37^{20k+10}-101\cdot 37^{19k+10}+627\cdot 37^{18k+9}-101\cdot 37^{17k+9}\\||+579\cdot 37^{16k+8}-87\cdot 37^{15k+8}+477\cdot 37^{14k+7}-71\cdot 37^{13k+7}+397\cdot 37^{12k+6}\\||-61\cdot 37^{11k+6}+349\cdot 37^{10k+5}-53\cdot 37^{9k+5}+285\cdot 37^{8k+4}-39\cdot 37^{7k+4}\\||+183\cdot 37^{6k+3}-21\cdot 37^{5k+3}+79\cdot 37^{4k+2}-7\cdot 37^{3k+2}+19\cdot 37^{2k+1}\\||-37^{k+1}+1)\\|\times|(37^{36k+18}+37^{35k+18}+19\cdot 37^{34k+17}+7\cdot 37^{33k+17}+79\cdot 37^{32k+16}\\||+21\cdot 37^{31k+16}+183\cdot 37^{30k+15}+39\cdot 37^{29k+15}+285\cdot 37^{28k+14}+53\cdot 37^{27k+14}\\||+349\cdot 37^{26k+13}+61\cdot 37^{25k+13}+397\cdot 37^{24k+12}+71\cdot 37^{23k+12}+477\cdot 37^{22k+11}\\||+87\cdot 37^{21k+11}+579\cdot 37^{20k+10}+101\cdot 37^{19k+10}+627\cdot 37^{18k+9}+101\cdot 37^{17k+9}\\||+579\cdot 37^{16k+8}+87\cdot 37^{15k+8}+477\cdot 37^{14k+7}+71\cdot 37^{13k+7}+397\cdot 37^{12k+6}\\||+61\cdot 37^{11k+6}+349\cdot 37^{10k+5}+53\cdot 37^{9k+5}+285\cdot 37^{8k+4}+39\cdot 37^{7k+4}\\||+183\cdot 37^{6k+3}+21\cdot 37^{5k+3}+79\cdot 37^{4k+2}+7\cdot 37^{3k+2}+19\cdot 37^{2k+1}\\||+37^{k+1}+1)\\{\large\Phi}_{76}(38^{2k+1})|=|38^{72k+36}-38^{68k+34}+38^{64k+32}-38^{60k+30}+38^{56k+28}\\||-38^{52k+26}+38^{48k+24}-38^{44k+22}+38^{40k+20}-38^{36k+18}\\||+38^{32k+16}-38^{28k+14}+38^{24k+12}-38^{20k+10}+38^{16k+8}\\||-38^{12k+6}+38^{8k+4}-38^{4k+2}+1\\|=|(38^{36k+18}-38^{35k+18}+19\cdot 38^{34k+17}-6\cdot 38^{33k+17}+47\cdot 38^{32k+16}\\||-5\cdot 38^{31k+16}-19\cdot 38^{30k+15}+14\cdot 38^{29k+15}-135\cdot 38^{28k+14}+21\cdot 38^{27k+14}\\||-57\cdot 38^{26k+13}-10\cdot 38^{25k+13}+179\cdot 38^{24k+12}-39\cdot 38^{23k+12}+209\cdot 38^{22k+11}\\||-14\cdot 38^{21k+11}-83\cdot 38^{20k+10}+37\cdot 38^{19k+10}-285\cdot 38^{18k+9}+37\cdot 38^{17k+9}\\||-83\cdot 38^{16k+8}-14\cdot 38^{15k+8}+209\cdot 38^{14k+7}-39\cdot 38^{13k+7}+179\cdot 38^{12k+6}\\||-10\cdot 38^{11k+6}-57\cdot 38^{10k+5}+21\cdot 38^{9k+5}-135\cdot 38^{8k+4}+14\cdot 38^{7k+4}\\||-19\cdot 38^{6k+3}-5\cdot 38^{5k+3}+47\cdot 38^{4k+2}-6\cdot 38^{3k+2}+19\cdot 38^{2k+1}\\||-38^{k+1}+1)\\|\times|(38^{36k+18}+38^{35k+18}+19\cdot 38^{34k+17}+6\cdot 38^{33k+17}+47\cdot 38^{32k+16}\\||+5\cdot 38^{31k+16}-19\cdot 38^{30k+15}-14\cdot 38^{29k+15}-135\cdot 38^{28k+14}-21\cdot 38^{27k+14}\\||-57\cdot 38^{26k+13}+10\cdot 38^{25k+13}+179\cdot 38^{24k+12}+39\cdot 38^{23k+12}+209\cdot 38^{22k+11}\\||+14\cdot 38^{21k+11}-83\cdot 38^{20k+10}-37\cdot 38^{19k+10}-285\cdot 38^{18k+9}-37\cdot 38^{17k+9}\\||-83\cdot 38^{16k+8}+14\cdot 38^{15k+8}+209\cdot 38^{14k+7}+39\cdot 38^{13k+7}+179\cdot 38^{12k+6}\\||+10\cdot 38^{11k+6}-57\cdot 38^{10k+5}-21\cdot 38^{9k+5}-135\cdot 38^{8k+4}-14\cdot 38^{7k+4}\\||-19\cdot 38^{6k+3}+5\cdot 38^{5k+3}+47\cdot 38^{4k+2}+6\cdot 38^{3k+2}+19\cdot 38^{2k+1}\\||+38^{k+1}+1)\\{\large\Phi}_{78}(39^{2k+1})|=|39^{48k+24}+39^{46k+23}-39^{42k+21}-39^{40k+20}+39^{36k+18}\\||+39^{34k+17}-39^{30k+15}-39^{28k+14}+39^{24k+12}-39^{20k+10}\\||-39^{18k+9}+39^{14k+7}+39^{12k+6}-39^{8k+4}-39^{6k+3}\\||+39^{2k+1}+1\\|=|(39^{24k+12}-39^{23k+12}+20\cdot 39^{22k+11}-7\cdot 39^{21k+11}+73\cdot 39^{20k+10}\\||-16\cdot 39^{19k+10}+119\cdot 39^{18k+9}-21\cdot 39^{17k+9}+142\cdot 39^{16k+8}-25\cdot 39^{15k+8}\\||+173\cdot 39^{14k+7}-30\cdot 39^{13k+7}+193\cdot 39^{12k+6}-30\cdot 39^{11k+6}+173\cdot 39^{10k+5}\\||-25\cdot 39^{9k+5}+142\cdot 39^{8k+4}-21\cdot 39^{7k+4}+119\cdot 39^{6k+3}-16\cdot 39^{5k+3}\\||+73\cdot 39^{4k+2}-7\cdot 39^{3k+2}+20\cdot 39^{2k+1}-39^{k+1}+1)\\|\times|(39^{24k+12}+39^{23k+12}+20\cdot 39^{22k+11}+7\cdot 39^{21k+11}+73\cdot 39^{20k+10}\\||+16\cdot 39^{19k+10}+119\cdot 39^{18k+9}+21\cdot 39^{17k+9}+142\cdot 39^{16k+8}+25\cdot 39^{15k+8}\\||+173\cdot 39^{14k+7}+30\cdot 39^{13k+7}+193\cdot 39^{12k+6}+30\cdot 39^{11k+6}+173\cdot 39^{10k+5}\\||+25\cdot 39^{9k+5}+142\cdot 39^{8k+4}+21\cdot 39^{7k+4}+119\cdot 39^{6k+3}+16\cdot 39^{5k+3}\\||+73\cdot 39^{4k+2}+7\cdot 39^{3k+2}+20\cdot 39^{2k+1}+39^{k+1}+1)\end{eqnarray}%%
Φ41(412k+1)⋯Φ94(472k+1)Φ41(412k+1)⋯Φ94(472k+1)
%%\begin{eqnarray}{\large\Phi}_{41}(41^{2k+1})|=|41^{80k+40}+41^{78k+39}+41^{76k+38}+41^{74k+37}+41^{72k+36}\\||+41^{70k+35}+41^{68k+34}+41^{66k+33}+41^{64k+32}+41^{62k+31}\\||+41^{60k+30}+41^{58k+29}+41^{56k+28}+41^{54k+27}+41^{52k+26}\\||+41^{50k+25}+41^{48k+24}+41^{46k+23}+41^{44k+22}+41^{42k+21}\\||+41^{40k+20}+41^{38k+19}+41^{36k+18}+41^{34k+17}+41^{32k+16}\\||+41^{30k+15}+41^{28k+14}+41^{26k+13}+41^{24k+12}+41^{22k+11}\\||+41^{20k+10}+41^{18k+9}+41^{16k+8}+41^{14k+7}+41^{12k+6}\\||+41^{10k+5}+41^{8k+4}+41^{6k+3}+41^{4k+2}+41^{2k+1}+1\\|=|(41^{40k+20}-41^{39k+20}+21\cdot 41^{38k+19}-7\cdot 41^{37k+19}+67\cdot 41^{36k+18}\\||-11\cdot 41^{35k+18}+49\cdot 41^{34k+17}-3\cdot 41^{33k+17}+7\cdot 41^{32k+16}-3\cdot 41^{31k+16}\\||+35\cdot 41^{30k+15}-5\cdot 41^{29k+15}+15\cdot 41^{28k+14}-41^{27k+14}+11\cdot 41^{26k+13}\\||-41^{25k+13}-23\cdot 41^{24k+12}+9\cdot 41^{23k+12}-65\cdot 41^{22k+11}+7\cdot 41^{21k+11}\\||-31\cdot 41^{20k+10}+7\cdot 41^{19k+10}-65\cdot 41^{18k+9}+9\cdot 41^{17k+9}-23\cdot 41^{16k+8}\\||-41^{15k+8}+11\cdot 41^{14k+7}-41^{13k+7}+15\cdot 41^{12k+6}-5\cdot 41^{11k+6}\\||+35\cdot 41^{10k+5}-3\cdot 41^{9k+5}+7\cdot 41^{8k+4}-3\cdot 41^{7k+4}+49\cdot 41^{6k+3}\\||-11\cdot 41^{5k+3}+67\cdot 41^{4k+2}-7\cdot 41^{3k+2}+21\cdot 41^{2k+1}-41^{k+1}+1)\\|\times|(41^{40k+20}+41^{39k+20}+21\cdot 41^{38k+19}+7\cdot 41^{37k+19}+67\cdot 41^{36k+18}\\||+11\cdot 41^{35k+18}+49\cdot 41^{34k+17}+3\cdot 41^{33k+17}+7\cdot 41^{32k+16}+3\cdot 41^{31k+16}\\||+35\cdot 41^{30k+15}+5\cdot 41^{29k+15}+15\cdot 41^{28k+14}+41^{27k+14}+11\cdot 41^{26k+13}\\||+41^{25k+13}-23\cdot 41^{24k+12}-9\cdot 41^{23k+12}-65\cdot 41^{22k+11}-7\cdot 41^{21k+11}\\||-31\cdot 41^{20k+10}-7\cdot 41^{19k+10}-65\cdot 41^{18k+9}-9\cdot 41^{17k+9}-23\cdot 41^{16k+8}\\||+41^{15k+8}+11\cdot 41^{14k+7}+41^{13k+7}+15\cdot 41^{12k+6}+5\cdot 41^{11k+6}\\||+35\cdot 41^{10k+5}+3\cdot 41^{9k+5}+7\cdot 41^{8k+4}+3\cdot 41^{7k+4}+49\cdot 41^{6k+3}\\||+11\cdot 41^{5k+3}+67\cdot 41^{4k+2}+7\cdot 41^{3k+2}+21\cdot 41^{2k+1}+41^{k+1}+1)\\{\large\Phi}_{84}(42^{2k+1})|=|42^{48k+24}+42^{44k+22}-42^{36k+18}-42^{32k+16}+42^{24k+12}\\||-42^{16k+8}-42^{12k+6}+42^{4k+2}+1\\|=|(42^{24k+12}-42^{23k+12}+21\cdot 42^{22k+11}-7\cdot 42^{21k+11}+74\cdot 42^{20k+10}\\||-15\cdot 42^{19k+10}+105\cdot 42^{18k+9}-14\cdot 42^{17k+9}+55\cdot 42^{16k+8}-42^{15k+8}\\||-42\cdot 42^{14k+7}+12\cdot 42^{13k+7}-91\cdot 42^{12k+6}+12\cdot 42^{11k+6}-42\cdot 42^{10k+5}\\||-42^{9k+5}+55\cdot 42^{8k+4}-14\cdot 42^{7k+4}+105\cdot 42^{6k+3}-15\cdot 42^{5k+3}\\||+74\cdot 42^{4k+2}-7\cdot 42^{3k+2}+21\cdot 42^{2k+1}-42^{k+1}+1)\\|\times|(42^{24k+12}+42^{23k+12}+21\cdot 42^{22k+11}+7\cdot 42^{21k+11}+74\cdot 42^{20k+10}\\||+15\cdot 42^{19k+10}+105\cdot 42^{18k+9}+14\cdot 42^{17k+9}+55\cdot 42^{16k+8}+42^{15k+8}\\||-42\cdot 42^{14k+7}-12\cdot 42^{13k+7}-91\cdot 42^{12k+6}-12\cdot 42^{11k+6}-42\cdot 42^{10k+5}\\||+42^{9k+5}+55\cdot 42^{8k+4}+14\cdot 42^{7k+4}+105\cdot 42^{6k+3}+15\cdot 42^{5k+3}\\||+74\cdot 42^{4k+2}+7\cdot 42^{3k+2}+21\cdot 42^{2k+1}+42^{k+1}+1)\\{\large\Phi}_{86}(43^{2k+1})|=|43^{84k+42}-43^{82k+41}+43^{80k+40}-43^{78k+39}+43^{76k+38}\\||-43^{74k+37}+43^{72k+36}-43^{70k+35}+43^{68k+34}-43^{66k+33}\\||+43^{64k+32}-43^{62k+31}+43^{60k+30}-43^{58k+29}+43^{56k+28}\\||-43^{54k+27}+43^{52k+26}-43^{50k+25}+43^{48k+24}-43^{46k+23}\\||+43^{44k+22}-43^{42k+21}+43^{40k+20}-43^{38k+19}+43^{36k+18}\\||-43^{34k+17}+43^{32k+16}-43^{30k+15}+43^{28k+14}-43^{26k+13}\\||+43^{24k+12}-43^{22k+11}+43^{20k+10}-43^{18k+9}+43^{16k+8}\\||-43^{14k+7}+43^{12k+6}-43^{10k+5}+43^{8k+4}-43^{6k+3}\\||+43^{4k+2}-43^{2k+1}+1\\|=|(43^{42k+21}-43^{41k+21}+21\cdot 43^{40k+20}-7\cdot 43^{39k+20}+81\cdot 43^{38k+19}\\||-19\cdot 43^{37k+19}+169\cdot 43^{36k+18}-31\cdot 43^{35k+18}+223\cdot 43^{34k+17}-35\cdot 43^{33k+17}\\||+225\cdot 43^{32k+16}-33\cdot 43^{31k+16}+213\cdot 43^{30k+15}-33\cdot 43^{29k+15}+223\cdot 43^{28k+14}\\||-35\cdot 43^{27k+14}+229\cdot 43^{26k+13}-33\cdot 43^{25k+13}+197\cdot 43^{24k+12}-27\cdot 43^{23k+12}\\||+159\cdot 43^{22k+11}-23\cdot 43^{21k+11}+159\cdot 43^{20k+10}-27\cdot 43^{19k+10}+197\cdot 43^{18k+9}\\||-33\cdot 43^{17k+9}+229\cdot 43^{16k+8}-35\cdot 43^{15k+8}+223\cdot 43^{14k+7}-33\cdot 43^{13k+7}\\||+213\cdot 43^{12k+6}-33\cdot 43^{11k+6}+225\cdot 43^{10k+5}-35\cdot 43^{9k+5}+223\cdot 43^{8k+4}\\||-31\cdot 43^{7k+4}+169\cdot 43^{6k+3}-19\cdot 43^{5k+3}+81\cdot 43^{4k+2}-7\cdot 43^{3k+2}\\||+21\cdot 43^{2k+1}-43^{k+1}+1)\\|\times|(43^{42k+21}+43^{41k+21}+21\cdot 43^{40k+20}+7\cdot 43^{39k+20}+81\cdot 43^{38k+19}\\||+19\cdot 43^{37k+19}+169\cdot 43^{36k+18}+31\cdot 43^{35k+18}+223\cdot 43^{34k+17}+35\cdot 43^{33k+17}\\||+225\cdot 43^{32k+16}+33\cdot 43^{31k+16}+213\cdot 43^{30k+15}+33\cdot 43^{29k+15}+223\cdot 43^{28k+14}\\||+35\cdot 43^{27k+14}+229\cdot 43^{26k+13}+33\cdot 43^{25k+13}+197\cdot 43^{24k+12}+27\cdot 43^{23k+12}\\||+159\cdot 43^{22k+11}+23\cdot 43^{21k+11}+159\cdot 43^{20k+10}+27\cdot 43^{19k+10}+197\cdot 43^{18k+9}\\||+33\cdot 43^{17k+9}+229\cdot 43^{16k+8}+35\cdot 43^{15k+8}+223\cdot 43^{14k+7}+33\cdot 43^{13k+7}\\||+213\cdot 43^{12k+6}+33\cdot 43^{11k+6}+225\cdot 43^{10k+5}+35\cdot 43^{9k+5}+223\cdot 43^{8k+4}\\||+31\cdot 43^{7k+4}+169\cdot 43^{6k+3}+19\cdot 43^{5k+3}+81\cdot 43^{4k+2}+7\cdot 43^{3k+2}\\||+21\cdot 43^{2k+1}+43^{k+1}+1)\\{\large\Phi}_{92}(46^{2k+1})|=|46^{88k+44}-46^{84k+42}+46^{80k+40}-46^{76k+38}+46^{72k+36}\\||-46^{68k+34}+46^{64k+32}-46^{60k+30}+46^{56k+28}-46^{52k+26}\\||+46^{48k+24}-46^{44k+22}+46^{40k+20}-46^{36k+18}+46^{32k+16}\\||-46^{28k+14}+46^{24k+12}-46^{20k+10}+46^{16k+8}-46^{12k+6}\\||+46^{8k+4}-46^{4k+2}+1\\|=|(46^{44k+22}-46^{43k+22}+23\cdot 46^{42k+21}-8\cdot 46^{41k+21}+103\cdot 46^{40k+20}\\||-25\cdot 46^{39k+20}+253\cdot 46^{38k+19}-52\cdot 46^{37k+19}+469\cdot 46^{36k+18}-89\cdot 46^{35k+18}\\||+759\cdot 46^{34k+17}-138\cdot 46^{33k+17}+1131\cdot 46^{32k+16}-197\cdot 46^{31k+16}+1541\cdot 46^{30k+15}\\||-256\cdot 46^{29k+15}+1917\cdot 46^{28k+14}-307\cdot 46^{27k+14}+2231\cdot 46^{26k+13}-348\cdot 46^{25k+13}\\||+2463\cdot 46^{24k+12}-373\cdot 46^{23k+12}+2553\cdot 46^{22k+11}-373\cdot 46^{21k+11}+2463\cdot 46^{20k+10}\\||-348\cdot 46^{19k+10}+2231\cdot 46^{18k+9}-307\cdot 46^{17k+9}+1917\cdot 46^{16k+8}-256\cdot 46^{15k+8}\\||+1541\cdot 46^{14k+7}-197\cdot 46^{13k+7}+1131\cdot 46^{12k+6}-138\cdot 46^{11k+6}+759\cdot 46^{10k+5}\\||-89\cdot 46^{9k+5}+469\cdot 46^{8k+4}-52\cdot 46^{7k+4}+253\cdot 46^{6k+3}-25\cdot 46^{5k+3}\\||+103\cdot 46^{4k+2}-8\cdot 46^{3k+2}+23\cdot 46^{2k+1}-46^{k+1}+1)\\|\times|(46^{44k+22}+46^{43k+22}+23\cdot 46^{42k+21}+8\cdot 46^{41k+21}+103\cdot 46^{40k+20}\\||+25\cdot 46^{39k+20}+253\cdot 46^{38k+19}+52\cdot 46^{37k+19}+469\cdot 46^{36k+18}+89\cdot 46^{35k+18}\\||+759\cdot 46^{34k+17}+138\cdot 46^{33k+17}+1131\cdot 46^{32k+16}+197\cdot 46^{31k+16}+1541\cdot 46^{30k+15}\\||+256\cdot 46^{29k+15}+1917\cdot 46^{28k+14}+307\cdot 46^{27k+14}+2231\cdot 46^{26k+13}+348\cdot 46^{25k+13}\\||+2463\cdot 46^{24k+12}+373\cdot 46^{23k+12}+2553\cdot 46^{22k+11}+373\cdot 46^{21k+11}+2463\cdot 46^{20k+10}\\||+348\cdot 46^{19k+10}+2231\cdot 46^{18k+9}+307\cdot 46^{17k+9}+1917\cdot 46^{16k+8}+256\cdot 46^{15k+8}\\||+1541\cdot 46^{14k+7}+197\cdot 46^{13k+7}+1131\cdot 46^{12k+6}+138\cdot 46^{11k+6}+759\cdot 46^{10k+5}\\||+89\cdot 46^{9k+5}+469\cdot 46^{8k+4}+52\cdot 46^{7k+4}+253\cdot 46^{6k+3}+25\cdot 46^{5k+3}\\||+103\cdot 46^{4k+2}+8\cdot 46^{3k+2}+23\cdot 46^{2k+1}+46^{k+1}+1)\\{\large\Phi}_{94}(47^{2k+1})|=|47^{92k+46}-47^{90k+45}+47^{88k+44}-47^{86k+43}+47^{84k+42}\\||-47^{82k+41}+47^{80k+40}-47^{78k+39}+47^{76k+38}-47^{74k+37}\\||+47^{72k+36}-47^{70k+35}+47^{68k+34}-47^{66k+33}+47^{64k+32}\\||-47^{62k+31}+47^{60k+30}-47^{58k+29}+47^{56k+28}-47^{54k+27}\\||+47^{52k+26}-47^{50k+25}+47^{48k+24}-47^{46k+23}+47^{44k+22}\\||-47^{42k+21}+47^{40k+20}-47^{38k+19}+47^{36k+18}-47^{34k+17}\\||+47^{32k+16}-47^{30k+15}+47^{28k+14}-47^{26k+13}+47^{24k+12}\\||-47^{22k+11}+47^{20k+10}-47^{18k+9}+47^{16k+8}-47^{14k+7}\\||+47^{12k+6}-47^{10k+5}+47^{8k+4}-47^{6k+3}+47^{4k+2}\\||-47^{2k+1}+1\\|=|(47^{46k+23}-47^{45k+23}+23\cdot 47^{44k+22}-7\cdot 47^{43k+22}+65\cdot 47^{42k+21}\\||-7\cdot 47^{41k+21}-15\cdot 47^{40k+20}+15\cdot 47^{39k+20}-169\cdot 47^{38k+19}+25\cdot 47^{37k+19}\\||-97\cdot 47^{36k+18}-5\cdot 47^{35k+18}+179\cdot 47^{34k+17}-41\cdot 47^{33k+17}+287\cdot 47^{32k+16}\\||-25\cdot 47^{31k+16}-37\cdot 47^{30k+15}+37\cdot 47^{29k+15}-375\cdot 47^{28k+14}+49\cdot 47^{27k+14}\\||-149\cdot 47^{26k+13}-15\cdot 47^{25k+13}+311\cdot 47^{24k+12}-57\cdot 47^{23k+12}+311\cdot 47^{22k+11}\\||-15\cdot 47^{21k+11}-149\cdot 47^{20k+10}+49\cdot 47^{19k+10}-375\cdot 47^{18k+9}+37\cdot 47^{17k+9}\\||-37\cdot 47^{16k+8}-25\cdot 47^{15k+8}+287\cdot 47^{14k+7}-41\cdot 47^{13k+7}+179\cdot 47^{12k+6}\\||-5\cdot 47^{11k+6}-97\cdot 47^{10k+5}+25\cdot 47^{9k+5}-169\cdot 47^{8k+4}+15\cdot 47^{7k+4}\\||-15\cdot 47^{6k+3}-7\cdot 47^{5k+3}+65\cdot 47^{4k+2}-7\cdot 47^{3k+2}+23\cdot 47^{2k+1}\\||-47^{k+1}+1)\\|\times|(47^{46k+23}+47^{45k+23}+23\cdot 47^{44k+22}+7\cdot 47^{43k+22}+65\cdot 47^{42k+21}\\||+7\cdot 47^{41k+21}-15\cdot 47^{40k+20}-15\cdot 47^{39k+20}-169\cdot 47^{38k+19}-25\cdot 47^{37k+19}\\||-97\cdot 47^{36k+18}+5\cdot 47^{35k+18}+179\cdot 47^{34k+17}+41\cdot 47^{33k+17}+287\cdot 47^{32k+16}\\||+25\cdot 47^{31k+16}-37\cdot 47^{30k+15}-37\cdot 47^{29k+15}-375\cdot 47^{28k+14}-49\cdot 47^{27k+14}\\||-149\cdot 47^{26k+13}+15\cdot 47^{25k+13}+311\cdot 47^{24k+12}+57\cdot 47^{23k+12}+311\cdot 47^{22k+11}\\||+15\cdot 47^{21k+11}-149\cdot 47^{20k+10}-49\cdot 47^{19k+10}-375\cdot 47^{18k+9}-37\cdot 47^{17k+9}\\||-37\cdot 47^{16k+8}+25\cdot 47^{15k+8}+287\cdot 47^{14k+7}+41\cdot 47^{13k+7}+179\cdot 47^{12k+6}\\||+5\cdot 47^{11k+6}-97\cdot 47^{10k+5}-25\cdot 47^{9k+5}-169\cdot 47^{8k+4}-15\cdot 47^{7k+4}\\||-15\cdot 47^{6k+3}+7\cdot 47^{5k+3}+65\cdot 47^{4k+2}+7\cdot 47^{3k+2}+23\cdot 47^{2k+1}\\||+47^{k+1}+1)\end{eqnarray}%%
Φ102(512k+1)⋯Φ118(592k+1)Φ102(512k+1)⋯Φ118(592k+1)
%%\begin{eqnarray}{\large\Phi}_{102}(51^{2k+1})|=|51^{64k+32}+51^{62k+31}-51^{58k+29}-51^{56k+28}+51^{52k+26}\\||+51^{50k+25}-51^{46k+23}-51^{44k+22}+51^{40k+20}+51^{38k+19}\\||-51^{34k+17}-51^{32k+16}-51^{30k+15}+51^{26k+13}+51^{24k+12}\\||-51^{20k+10}-51^{18k+9}+51^{14k+7}+51^{12k+6}-51^{8k+4}\\||-51^{6k+3}+51^{2k+1}+1\\|=|(51^{32k+16}-51^{31k+16}+26\cdot 51^{30k+15}-9\cdot 51^{29k+15}+121\cdot 51^{28k+14}\\||-26\cdot 51^{27k+14}+245\cdot 51^{26k+13}-41\cdot 51^{25k+13}+334\cdot 51^{24k+12}-53\cdot 51^{23k+12}\\||+431\cdot 51^{22k+11}-68\cdot 51^{21k+11}+529\cdot 51^{20k+10}-77\cdot 51^{19k+10}+548\cdot 51^{18k+9}\\||-75\cdot 51^{17k+9}+529\cdot 51^{16k+8}-75\cdot 51^{15k+8}+548\cdot 51^{14k+7}-77\cdot 51^{13k+7}\\||+529\cdot 51^{12k+6}-68\cdot 51^{11k+6}+431\cdot 51^{10k+5}-53\cdot 51^{9k+5}+334\cdot 51^{8k+4}\\||-41\cdot 51^{7k+4}+245\cdot 51^{6k+3}-26\cdot 51^{5k+3}+121\cdot 51^{4k+2}-9\cdot 51^{3k+2}\\||+26\cdot 51^{2k+1}-51^{k+1}+1)\\|\times|(51^{32k+16}+51^{31k+16}+26\cdot 51^{30k+15}+9\cdot 51^{29k+15}+121\cdot 51^{28k+14}\\||+26\cdot 51^{27k+14}+245\cdot 51^{26k+13}+41\cdot 51^{25k+13}+334\cdot 51^{24k+12}+53\cdot 51^{23k+12}\\||+431\cdot 51^{22k+11}+68\cdot 51^{21k+11}+529\cdot 51^{20k+10}+77\cdot 51^{19k+10}+548\cdot 51^{18k+9}\\||+75\cdot 51^{17k+9}+529\cdot 51^{16k+8}+75\cdot 51^{15k+8}+548\cdot 51^{14k+7}+77\cdot 51^{13k+7}\\||+529\cdot 51^{12k+6}+68\cdot 51^{11k+6}+431\cdot 51^{10k+5}+53\cdot 51^{9k+5}+334\cdot 51^{8k+4}\\||+41\cdot 51^{7k+4}+245\cdot 51^{6k+3}+26\cdot 51^{5k+3}+121\cdot 51^{4k+2}+9\cdot 51^{3k+2}\\||+26\cdot 51^{2k+1}+51^{k+1}+1)\\{\large\Phi}_{53}(53^{2k+1})|=|53^{104k+52}+53^{102k+51}+53^{100k+50}+53^{98k+49}+53^{96k+48}\\||+53^{94k+47}+53^{92k+46}+53^{90k+45}+53^{88k+44}+53^{86k+43}\\||+53^{84k+42}+53^{82k+41}+53^{80k+40}+53^{78k+39}+53^{76k+38}\\||+53^{74k+37}+53^{72k+36}+53^{70k+35}+53^{68k+34}+53^{66k+33}\\||+53^{64k+32}+53^{62k+31}+53^{60k+30}+53^{58k+29}+53^{56k+28}\\||+53^{54k+27}+53^{52k+26}+53^{50k+25}+53^{48k+24}+53^{46k+23}\\||+53^{44k+22}+53^{42k+21}+53^{40k+20}+53^{38k+19}+53^{36k+18}\\||+53^{34k+17}+53^{32k+16}+53^{30k+15}+53^{28k+14}+53^{26k+13}\\||+53^{24k+12}+53^{22k+11}+53^{20k+10}+53^{18k+9}+53^{16k+8}\\||+53^{14k+7}+53^{12k+6}+53^{10k+5}+53^{8k+4}+53^{6k+3}\\||+53^{4k+2}+53^{2k+1}+1\\|=|(53^{52k+26}-53^{51k+26}+27\cdot 53^{50k+25}-9\cdot 53^{49k+25}+113\cdot 53^{48k+24}\\||-19\cdot 53^{47k+24}+103\cdot 53^{46k+23}+53^{45k+23}-155\cdot 53^{44k+22}+35\cdot 53^{43k+22}\\||-219\cdot 53^{42k+21}+3\cdot 53^{41k+21}+263\cdot 53^{40k+20}-67\cdot 53^{39k+20}+513\cdot 53^{38k+19}\\||-41\cdot 53^{37k+19}-59\cdot 53^{36k+18}+51\cdot 53^{35k+18}-465\cdot 53^{34k+17}+39\cdot 53^{33k+17}\\||+75\cdot 53^{32k+16}-57\cdot 53^{31k+16}+551\cdot 53^{30k+15}-57\cdot 53^{29k+15}+93\cdot 53^{28k+14}\\||+31\cdot 53^{27k+14}-357\cdot 53^{26k+13}+31\cdot 53^{25k+13}+93\cdot 53^{24k+12}-57\cdot 53^{23k+12}\\||+551\cdot 53^{22k+11}-57\cdot 53^{21k+11}+75\cdot 53^{20k+10}+39\cdot 53^{19k+10}-465\cdot 53^{18k+9}\\||+51\cdot 53^{17k+9}-59\cdot 53^{16k+8}-41\cdot 53^{15k+8}+513\cdot 53^{14k+7}-67\cdot 53^{13k+7}\\||+263\cdot 53^{12k+6}+3\cdot 53^{11k+6}-219\cdot 53^{10k+5}+35\cdot 53^{9k+5}-155\cdot 53^{8k+4}\\||+53^{7k+4}+103\cdot 53^{6k+3}-19\cdot 53^{5k+3}+113\cdot 53^{4k+2}-9\cdot 53^{3k+2}\\||+27\cdot 53^{2k+1}-53^{k+1}+1)\\|\times|(53^{52k+26}+53^{51k+26}+27\cdot 53^{50k+25}+9\cdot 53^{49k+25}+113\cdot 53^{48k+24}\\||+19\cdot 53^{47k+24}+103\cdot 53^{46k+23}-53^{45k+23}-155\cdot 53^{44k+22}-35\cdot 53^{43k+22}\\||-219\cdot 53^{42k+21}-3\cdot 53^{41k+21}+263\cdot 53^{40k+20}+67\cdot 53^{39k+20}+513\cdot 53^{38k+19}\\||+41\cdot 53^{37k+19}-59\cdot 53^{36k+18}-51\cdot 53^{35k+18}-465\cdot 53^{34k+17}-39\cdot 53^{33k+17}\\||+75\cdot 53^{32k+16}+57\cdot 53^{31k+16}+551\cdot 53^{30k+15}+57\cdot 53^{29k+15}+93\cdot 53^{28k+14}\\||-31\cdot 53^{27k+14}-357\cdot 53^{26k+13}-31\cdot 53^{25k+13}+93\cdot 53^{24k+12}+57\cdot 53^{23k+12}\\||+551\cdot 53^{22k+11}+57\cdot 53^{21k+11}+75\cdot 53^{20k+10}-39\cdot 53^{19k+10}-465\cdot 53^{18k+9}\\||-51\cdot 53^{17k+9}-59\cdot 53^{16k+8}+41\cdot 53^{15k+8}+513\cdot 53^{14k+7}+67\cdot 53^{13k+7}\\||+263\cdot 53^{12k+6}-3\cdot 53^{11k+6}-219\cdot 53^{10k+5}-35\cdot 53^{9k+5}-155\cdot 53^{8k+4}\\||-53^{7k+4}+103\cdot 53^{6k+3}+19\cdot 53^{5k+3}+113\cdot 53^{4k+2}+9\cdot 53^{3k+2}\\||+27\cdot 53^{2k+1}+53^{k+1}+1)\\{\large\Phi}_{110}(55^{2k+1})|=|55^{80k+40}+55^{78k+39}-55^{70k+35}-55^{68k+34}+55^{60k+30}\\||-55^{56k+28}-55^{50k+25}+55^{46k+23}+55^{40k+20}+55^{34k+17}\\||-55^{30k+15}-55^{24k+12}+55^{20k+10}-55^{12k+6}-55^{10k+5}\\||+55^{2k+1}+1\\|=|(55^{40k+20}-55^{39k+20}+28\cdot 55^{38k+19}-10\cdot 55^{37k+19}+158\cdot 55^{36k+18}\\||-39\cdot 55^{35k+18}+471\cdot 55^{34k+17}-94\cdot 55^{33k+17}+950\cdot 55^{32k+16}-162\cdot 55^{31k+16}\\||+1419\cdot 55^{30k+15}-212\cdot 55^{29k+15}+1637\cdot 55^{28k+14}-216\cdot 55^{27k+14}+1472\cdot 55^{26k+13}\\||-171\cdot 55^{25k+13}+1024\cdot 55^{24k+12}-105\cdot 55^{23k+12}+570\cdot 55^{22k+11}-58\cdot 55^{21k+11}\\||+381\cdot 55^{20k+10}-58\cdot 55^{19k+10}+570\cdot 55^{18k+9}-105\cdot 55^{17k+9}+1024\cdot 55^{16k+8}\\||-171\cdot 55^{15k+8}+1472\cdot 55^{14k+7}-216\cdot 55^{13k+7}+1637\cdot 55^{12k+6}-212\cdot 55^{11k+6}\\||+1419\cdot 55^{10k+5}-162\cdot 55^{9k+5}+950\cdot 55^{8k+4}-94\cdot 55^{7k+4}+471\cdot 55^{6k+3}\\||-39\cdot 55^{5k+3}+158\cdot 55^{4k+2}-10\cdot 55^{3k+2}+28\cdot 55^{2k+1}-55^{k+1}+1)\\|\times|(55^{40k+20}+55^{39k+20}+28\cdot 55^{38k+19}+10\cdot 55^{37k+19}+158\cdot 55^{36k+18}\\||+39\cdot 55^{35k+18}+471\cdot 55^{34k+17}+94\cdot 55^{33k+17}+950\cdot 55^{32k+16}+162\cdot 55^{31k+16}\\||+1419\cdot 55^{30k+15}+212\cdot 55^{29k+15}+1637\cdot 55^{28k+14}+216\cdot 55^{27k+14}+1472\cdot 55^{26k+13}\\||+171\cdot 55^{25k+13}+1024\cdot 55^{24k+12}+105\cdot 55^{23k+12}+570\cdot 55^{22k+11}+58\cdot 55^{21k+11}\\||+381\cdot 55^{20k+10}+58\cdot 55^{19k+10}+570\cdot 55^{18k+9}+105\cdot 55^{17k+9}+1024\cdot 55^{16k+8}\\||+171\cdot 55^{15k+8}+1472\cdot 55^{14k+7}+216\cdot 55^{13k+7}+1637\cdot 55^{12k+6}+212\cdot 55^{11k+6}\\||+1419\cdot 55^{10k+5}+162\cdot 55^{9k+5}+950\cdot 55^{8k+4}+94\cdot 55^{7k+4}+471\cdot 55^{6k+3}\\||+39\cdot 55^{5k+3}+158\cdot 55^{4k+2}+10\cdot 55^{3k+2}+28\cdot 55^{2k+1}+55^{k+1}+1)\\{\large\Phi}_{57}(57^{2k+1})|=|57^{72k+36}-57^{70k+35}+57^{66k+33}-57^{64k+32}+57^{60k+30}\\||-57^{58k+29}+57^{54k+27}-57^{52k+26}+57^{48k+24}-57^{46k+23}\\||+57^{42k+21}-57^{40k+20}+57^{36k+18}-57^{32k+16}+57^{30k+15}\\||-57^{26k+13}+57^{24k+12}-57^{20k+10}+57^{18k+9}-57^{14k+7}\\||+57^{12k+6}-57^{8k+4}+57^{6k+3}-57^{2k+1}+1\\|=|(57^{36k+18}-57^{35k+18}+28\cdot 57^{34k+17}-9\cdot 57^{33k+17}+121\cdot 57^{32k+16}\\||-22\cdot 57^{31k+16}+175\cdot 57^{30k+15}-17\cdot 57^{29k+15}+34\cdot 57^{28k+14}+9\cdot 57^{27k+14}\\||-125\cdot 57^{26k+13}+14\cdot 57^{25k+13}-23\cdot 57^{24k+12}-9\cdot 57^{23k+12}+100\cdot 57^{22k+11}\\||-5\cdot 57^{21k+11}-95\cdot 57^{20k+10}+30\cdot 57^{19k+10}-281\cdot 57^{18k+9}+30\cdot 57^{17k+9}\\||-95\cdot 57^{16k+8}-5\cdot 57^{15k+8}+100\cdot 57^{14k+7}-9\cdot 57^{13k+7}-23\cdot 57^{12k+6}\\||+14\cdot 57^{11k+6}-125\cdot 57^{10k+5}+9\cdot 57^{9k+5}+34\cdot 57^{8k+4}-17\cdot 57^{7k+4}\\||+175\cdot 57^{6k+3}-22\cdot 57^{5k+3}+121\cdot 57^{4k+2}-9\cdot 57^{3k+2}+28\cdot 57^{2k+1}\\||-57^{k+1}+1)\\|\times|(57^{36k+18}+57^{35k+18}+28\cdot 57^{34k+17}+9\cdot 57^{33k+17}+121\cdot 57^{32k+16}\\||+22\cdot 57^{31k+16}+175\cdot 57^{30k+15}+17\cdot 57^{29k+15}+34\cdot 57^{28k+14}-9\cdot 57^{27k+14}\\||-125\cdot 57^{26k+13}-14\cdot 57^{25k+13}-23\cdot 57^{24k+12}+9\cdot 57^{23k+12}+100\cdot 57^{22k+11}\\||+5\cdot 57^{21k+11}-95\cdot 57^{20k+10}-30\cdot 57^{19k+10}-281\cdot 57^{18k+9}-30\cdot 57^{17k+9}\\||-95\cdot 57^{16k+8}+5\cdot 57^{15k+8}+100\cdot 57^{14k+7}+9\cdot 57^{13k+7}-23\cdot 57^{12k+6}\\||-14\cdot 57^{11k+6}-125\cdot 57^{10k+5}-9\cdot 57^{9k+5}+34\cdot 57^{8k+4}+17\cdot 57^{7k+4}\\||+175\cdot 57^{6k+3}+22\cdot 57^{5k+3}+121\cdot 57^{4k+2}+9\cdot 57^{3k+2}+28\cdot 57^{2k+1}\\||+57^{k+1}+1)\\{\large\Phi}_{116}(58^{2k+1})|=|58^{112k+56}-58^{108k+54}+58^{104k+52}-58^{100k+50}+58^{96k+48}\\||-58^{92k+46}+58^{88k+44}-58^{84k+42}+58^{80k+40}-58^{76k+38}\\||+58^{72k+36}-58^{68k+34}+58^{64k+32}-58^{60k+30}+58^{56k+28}\\||-58^{52k+26}+58^{48k+24}-58^{44k+22}+58^{40k+20}-58^{36k+18}\\||+58^{32k+16}-58^{28k+14}+58^{24k+12}-58^{20k+10}+58^{16k+8}\\||-58^{12k+6}+58^{8k+4}-58^{4k+2}+1\\|=|(58^{56k+28}-58^{55k+28}+29\cdot 58^{54k+27}-10\cdot 58^{53k+27}+159\cdot 58^{52k+26}\\||-37\cdot 58^{51k+26}+435\cdot 58^{50k+25}-78\cdot 58^{49k+25}+729\cdot 58^{48k+24}-107\cdot 58^{47k+24}\\||+841\cdot 58^{46k+23}-108\cdot 58^{45k+23}+799\cdot 58^{44k+22}-107\cdot 58^{43k+22}+899\cdot 58^{42k+21}\\||-138\cdot 58^{41k+21}+1233\cdot 58^{40k+20}-181\cdot 58^{39k+20}+1421\cdot 58^{38k+19}-174\cdot 58^{37k+19}\\||+1103\cdot 58^{36k+18}-107\cdot 58^{35k+18}+551\cdot 58^{34k+17}-52\cdot 58^{33k+17}+393\cdot 58^{32k+16}\\||-69\cdot 58^{31k+16}+725\cdot 58^{30k+15}-118\cdot 58^{29k+15}+967\cdot 58^{28k+14}-118\cdot 58^{27k+14}\\||+725\cdot 58^{26k+13}-69\cdot 58^{25k+13}+393\cdot 58^{24k+12}-52\cdot 58^{23k+12}+551\cdot 58^{22k+11}\\||-107\cdot 58^{21k+11}+1103\cdot 58^{20k+10}-174\cdot 58^{19k+10}+1421\cdot 58^{18k+9}-181\cdot 58^{17k+9}\\||+1233\cdot 58^{16k+8}-138\cdot 58^{15k+8}+899\cdot 58^{14k+7}-107\cdot 58^{13k+7}+799\cdot 58^{12k+6}\\||-108\cdot 58^{11k+6}+841\cdot 58^{10k+5}-107\cdot 58^{9k+5}+729\cdot 58^{8k+4}-78\cdot 58^{7k+4}\\||+435\cdot 58^{6k+3}-37\cdot 58^{5k+3}+159\cdot 58^{4k+2}-10\cdot 58^{3k+2}+29\cdot 58^{2k+1}\\||-58^{k+1}+1)\\|\times|(58^{56k+28}+58^{55k+28}+29\cdot 58^{54k+27}+10\cdot 58^{53k+27}+159\cdot 58^{52k+26}\\||+37\cdot 58^{51k+26}+435\cdot 58^{50k+25}+78\cdot 58^{49k+25}+729\cdot 58^{48k+24}+107\cdot 58^{47k+24}\\||+841\cdot 58^{46k+23}+108\cdot 58^{45k+23}+799\cdot 58^{44k+22}+107\cdot 58^{43k+22}+899\cdot 58^{42k+21}\\||+138\cdot 58^{41k+21}+1233\cdot 58^{40k+20}+181\cdot 58^{39k+20}+1421\cdot 58^{38k+19}+174\cdot 58^{37k+19}\\||+1103\cdot 58^{36k+18}+107\cdot 58^{35k+18}+551\cdot 58^{34k+17}+52\cdot 58^{33k+17}+393\cdot 58^{32k+16}\\||+69\cdot 58^{31k+16}+725\cdot 58^{30k+15}+118\cdot 58^{29k+15}+967\cdot 58^{28k+14}+118\cdot 58^{27k+14}\\||+725\cdot 58^{26k+13}+69\cdot 58^{25k+13}+393\cdot 58^{24k+12}+52\cdot 58^{23k+12}+551\cdot 58^{22k+11}\\||+107\cdot 58^{21k+11}+1103\cdot 58^{20k+10}+174\cdot 58^{19k+10}+1421\cdot 58^{18k+9}+181\cdot 58^{17k+9}\\||+1233\cdot 58^{16k+8}+138\cdot 58^{15k+8}+899\cdot 58^{14k+7}+107\cdot 58^{13k+7}+799\cdot 58^{12k+6}\\||+108\cdot 58^{11k+6}+841\cdot 58^{10k+5}+107\cdot 58^{9k+5}+729\cdot 58^{8k+4}+78\cdot 58^{7k+4}\\||+435\cdot 58^{6k+3}+37\cdot 58^{5k+3}+159\cdot 58^{4k+2}+10\cdot 58^{3k+2}+29\cdot 58^{2k+1}\\||+58^{k+1}+1)\\{\large\Phi}_{118}(59^{2k+1})|=|59^{116k+58}-59^{114k+57}+59^{112k+56}-59^{110k+55}+59^{108k+54}\\||-59^{106k+53}+59^{104k+52}-59^{102k+51}+59^{100k+50}-59^{98k+49}\\||+59^{96k+48}-59^{94k+47}+59^{92k+46}-59^{90k+45}+59^{88k+44}\\||-59^{86k+43}+59^{84k+42}-59^{82k+41}+59^{80k+40}-59^{78k+39}\\||+59^{76k+38}-59^{74k+37}+59^{72k+36}-59^{70k+35}+59^{68k+34}\\||-59^{66k+33}+59^{64k+32}-59^{62k+31}+59^{60k+30}-59^{58k+29}\\||+59^{56k+28}-59^{54k+27}+59^{52k+26}-59^{50k+25}+59^{48k+24}\\||-59^{46k+23}+59^{44k+22}-59^{42k+21}+59^{40k+20}-59^{38k+19}\\||+59^{36k+18}-59^{34k+17}+59^{32k+16}-59^{30k+15}+59^{28k+14}\\||-59^{26k+13}+59^{24k+12}-59^{22k+11}+59^{20k+10}-59^{18k+9}\\||+59^{16k+8}-59^{14k+7}+59^{12k+6}-59^{10k+5}+59^{8k+4}\\||-59^{6k+3}+59^{4k+2}-59^{2k+1}+1\\|=|(59^{58k+29}-59^{57k+29}+29\cdot 59^{56k+28}-9\cdot 59^{55k+28}+111\cdot 59^{54k+27}\\||-15\cdot 59^{53k+27}+55\cdot 59^{52k+26}+5\cdot 59^{51k+26}-85\cdot 59^{50k+25}+5\cdot 59^{49k+25}\\||+47\cdot 59^{48k+24}-9\cdot 59^{47k+24}+11\cdot 59^{46k+23}+3\cdot 59^{45k+23}+53\cdot 59^{44k+22}\\||-21\cdot 59^{43k+22}+131\cdot 59^{42k+21}+9\cdot 59^{41k+21}-245\cdot 59^{40k+20}+25\cdot 59^{39k+20}\\||+41\cdot 59^{38k+19}-25\cdot 59^{37k+19}+103\cdot 59^{36k+18}+11\cdot 59^{35k+18}-111\cdot 59^{34k+17}\\||-9\cdot 59^{33k+17}+227\cdot 59^{32k+16}-19\cdot 59^{31k+16}-103\cdot 59^{30k+15}+31\cdot 59^{29k+15}\\||-103\cdot 59^{28k+14}-19\cdot 59^{27k+14}+227\cdot 59^{26k+13}-9\cdot 59^{25k+13}-111\cdot 59^{24k+12}\\||+11\cdot 59^{23k+12}+103\cdot 59^{22k+11}-25\cdot 59^{21k+11}+41\cdot 59^{20k+10}+25\cdot 59^{19k+10}\\||-245\cdot 59^{18k+9}+9\cdot 59^{17k+9}+131\cdot 59^{16k+8}-21\cdot 59^{15k+8}+53\cdot 59^{14k+7}\\||+3\cdot 59^{13k+7}+11\cdot 59^{12k+6}-9\cdot 59^{11k+6}+47\cdot 59^{10k+5}+5\cdot 59^{9k+5}\\||-85\cdot 59^{8k+4}+5\cdot 59^{7k+4}+55\cdot 59^{6k+3}-15\cdot 59^{5k+3}+111\cdot 59^{4k+2}\\||-9\cdot 59^{3k+2}+29\cdot 59^{2k+1}-59^{k+1}+1)\\|\times|(59^{58k+29}+59^{57k+29}+29\cdot 59^{56k+28}+9\cdot 59^{55k+28}+111\cdot 59^{54k+27}\\||+15\cdot 59^{53k+27}+55\cdot 59^{52k+26}-5\cdot 59^{51k+26}-85\cdot 59^{50k+25}-5\cdot 59^{49k+25}\\||+47\cdot 59^{48k+24}+9\cdot 59^{47k+24}+11\cdot 59^{46k+23}-3\cdot 59^{45k+23}+53\cdot 59^{44k+22}\\||+21\cdot 59^{43k+22}+131\cdot 59^{42k+21}-9\cdot 59^{41k+21}-245\cdot 59^{40k+20}-25\cdot 59^{39k+20}\\||+41\cdot 59^{38k+19}+25\cdot 59^{37k+19}+103\cdot 59^{36k+18}-11\cdot 59^{35k+18}-111\cdot 59^{34k+17}\\||+9\cdot 59^{33k+17}+227\cdot 59^{32k+16}+19\cdot 59^{31k+16}-103\cdot 59^{30k+15}-31\cdot 59^{29k+15}\\||-103\cdot 59^{28k+14}+19\cdot 59^{27k+14}+227\cdot 59^{26k+13}+9\cdot 59^{25k+13}-111\cdot 59^{24k+12}\\||-11\cdot 59^{23k+12}+103\cdot 59^{22k+11}+25\cdot 59^{21k+11}+41\cdot 59^{20k+10}-25\cdot 59^{19k+10}\\||-245\cdot 59^{18k+9}-9\cdot 59^{17k+9}+131\cdot 59^{16k+8}+21\cdot 59^{15k+8}+53\cdot 59^{14k+7}\\||-3\cdot 59^{13k+7}+11\cdot 59^{12k+6}+9\cdot 59^{11k+6}+47\cdot 59^{10k+5}-5\cdot 59^{9k+5}\\||-85\cdot 59^{8k+4}-5\cdot 59^{7k+4}+55\cdot 59^{6k+3}+15\cdot 59^{5k+3}+111\cdot 59^{4k+2}\\||+9\cdot 59^{3k+2}+29\cdot 59^{2k+1}+59^{k+1}+1)\end{eqnarray}%%
Φ61(612k+1)⋯Φ140(702k+1)Φ61(612k+1)⋯Φ140(702k+1)
%%\begin{eqnarray}{\large\Phi}_{61}(61^{2k+1})|=|61^{120k+60}+61^{118k+59}+61^{116k+58}+61^{114k+57}+61^{112k+56}\\||+61^{110k+55}+61^{108k+54}+61^{106k+53}+61^{104k+52}+61^{102k+51}\\||+61^{100k+50}+61^{98k+49}+61^{96k+48}+61^{94k+47}+61^{92k+46}\\||+61^{90k+45}+61^{88k+44}+61^{86k+43}+61^{84k+42}+61^{82k+41}\\||+61^{80k+40}+61^{78k+39}+61^{76k+38}+61^{74k+37}+61^{72k+36}\\||+61^{70k+35}+61^{68k+34}+61^{66k+33}+61^{64k+32}+61^{62k+31}\\||+61^{60k+30}+61^{58k+29}+61^{56k+28}+61^{54k+27}+61^{52k+26}\\||+61^{50k+25}+61^{48k+24}+61^{46k+23}+61^{44k+22}+61^{42k+21}\\||+61^{40k+20}+61^{38k+19}+61^{36k+18}+61^{34k+17}+61^{32k+16}\\||+61^{30k+15}+61^{28k+14}+61^{26k+13}+61^{24k+12}+61^{22k+11}\\||+61^{20k+10}+61^{18k+9}+61^{16k+8}+61^{14k+7}+61^{12k+6}\\||+61^{10k+5}+61^{8k+4}+61^{6k+3}+61^{4k+2}+61^{2k+1}+1\\|=|(61^{60k+30}-61^{59k+30}+31\cdot 61^{58k+29}-11\cdot 61^{57k+29}+191\cdot 61^{56k+28}\\||-47\cdot 61^{55k+28}+637\cdot 61^{54k+27}-131\cdot 61^{53k+27}+1541\cdot 61^{52k+26}-281\cdot 61^{51k+26}\\||+2979\cdot 61^{50k+25}-497\cdot 61^{49k+25}+4881\cdot 61^{48k+24}-761\cdot 61^{47k+24}+7029\cdot 61^{46k+23}\\||-1037\cdot 61^{45k+23}+9125\cdot 61^{44k+22}-1291\cdot 61^{43k+22}+10953\cdot 61^{42k+21}-1501\cdot 61^{41k+21}\\||+12397\cdot 61^{40k+20}-1663\cdot 61^{39k+20}+13511\cdot 61^{38k+19}-1789\cdot 61^{37k+19}+14379\cdot 61^{36k+18}\\||-1887\cdot 61^{35k+18}+15053\cdot 61^{34k+17}-1961\cdot 61^{33k+17}+15511\cdot 61^{32k+16}-2001\cdot 61^{31k+16}\\||+15667\cdot 61^{30k+15}-2001\cdot 61^{29k+15}+15511\cdot 61^{28k+14}-1961\cdot 61^{27k+14}+15053\cdot 61^{26k+13}\\||-1887\cdot 61^{25k+13}+14379\cdot 61^{24k+12}-1789\cdot 61^{23k+12}+13511\cdot 61^{22k+11}-1663\cdot 61^{21k+11}\\||+12397\cdot 61^{20k+10}-1501\cdot 61^{19k+10}+10953\cdot 61^{18k+9}-1291\cdot 61^{17k+9}+9125\cdot 61^{16k+8}\\||-1037\cdot 61^{15k+8}+7029\cdot 61^{14k+7}-761\cdot 61^{13k+7}+4881\cdot 61^{12k+6}-497\cdot 61^{11k+6}\\||+2979\cdot 61^{10k+5}-281\cdot 61^{9k+5}+1541\cdot 61^{8k+4}-131\cdot 61^{7k+4}+637\cdot 61^{6k+3}\\||-47\cdot 61^{5k+3}+191\cdot 61^{4k+2}-11\cdot 61^{3k+2}+31\cdot 61^{2k+1}-61^{k+1}+1)\\|\times|(61^{60k+30}+61^{59k+30}+31\cdot 61^{58k+29}+11\cdot 61^{57k+29}+191\cdot 61^{56k+28}\\||+47\cdot 61^{55k+28}+637\cdot 61^{54k+27}+131\cdot 61^{53k+27}+1541\cdot 61^{52k+26}+281\cdot 61^{51k+26}\\||+2979\cdot 61^{50k+25}+497\cdot 61^{49k+25}+4881\cdot 61^{48k+24}+761\cdot 61^{47k+24}+7029\cdot 61^{46k+23}\\||+1037\cdot 61^{45k+23}+9125\cdot 61^{44k+22}+1291\cdot 61^{43k+22}+10953\cdot 61^{42k+21}+1501\cdot 61^{41k+21}\\||+12397\cdot 61^{40k+20}+1663\cdot 61^{39k+20}+13511\cdot 61^{38k+19}+1789\cdot 61^{37k+19}+14379\cdot 61^{36k+18}\\||+1887\cdot 61^{35k+18}+15053\cdot 61^{34k+17}+1961\cdot 61^{33k+17}+15511\cdot 61^{32k+16}+2001\cdot 61^{31k+16}\\||+15667\cdot 61^{30k+15}+2001\cdot 61^{29k+15}+15511\cdot 61^{28k+14}+1961\cdot 61^{27k+14}+15053\cdot 61^{26k+13}\\||+1887\cdot 61^{25k+13}+14379\cdot 61^{24k+12}+1789\cdot 61^{23k+12}+13511\cdot 61^{22k+11}+1663\cdot 61^{21k+11}\\||+12397\cdot 61^{20k+10}+1501\cdot 61^{19k+10}+10953\cdot 61^{18k+9}+1291\cdot 61^{17k+9}+9125\cdot 61^{16k+8}\\||+1037\cdot 61^{15k+8}+7029\cdot 61^{14k+7}+761\cdot 61^{13k+7}+4881\cdot 61^{12k+6}+497\cdot 61^{11k+6}\\||+2979\cdot 61^{10k+5}+281\cdot 61^{9k+5}+1541\cdot 61^{8k+4}+131\cdot 61^{7k+4}+637\cdot 61^{6k+3}\\||+47\cdot 61^{5k+3}+191\cdot 61^{4k+2}+11\cdot 61^{3k+2}+31\cdot 61^{2k+1}+61^{k+1}+1)\\{\large\Phi}_{124}(62^{2k+1})|=|62^{120k+60}-62^{116k+58}+62^{112k+56}-62^{108k+54}+62^{104k+52}\\||-62^{100k+50}+62^{96k+48}-62^{92k+46}+62^{88k+44}-62^{84k+42}\\||+62^{80k+40}-62^{76k+38}+62^{72k+36}-62^{68k+34}+62^{64k+32}\\||-62^{60k+30}+62^{56k+28}-62^{52k+26}+62^{48k+24}-62^{44k+22}\\||+62^{40k+20}-62^{36k+18}+62^{32k+16}-62^{28k+14}+62^{24k+12}\\||-62^{20k+10}+62^{16k+8}-62^{12k+6}+62^{8k+4}-62^{4k+2}+1\\|=|(62^{60k+30}-62^{59k+30}+31\cdot 62^{58k+29}-10\cdot 62^{57k+29}+139\cdot 62^{56k+28}\\||-21\cdot 62^{55k+28}+93\cdot 62^{54k+27}+14\cdot 62^{53k+27}-391\cdot 62^{52k+26}+77\cdot 62^{51k+26}\\||-589\cdot 62^{50k+25}+32\cdot 62^{49k+25}+331\cdot 62^{48k+24}-117\cdot 62^{47k+24}+1209\cdot 62^{46k+23}\\||-124\cdot 62^{45k+23}+249\cdot 62^{44k+22}+85\cdot 62^{43k+22}-1333\cdot 62^{42k+21}+178\cdot 62^{41k+21}\\||-841\cdot 62^{40k+20}-7\cdot 62^{39k+20}+837\cdot 62^{38k+19}-146\cdot 62^{37k+19}+913\cdot 62^{36k+18}\\||-43\cdot 62^{35k+18}-217\cdot 62^{34k+17}+60\cdot 62^{33k+17}-385\cdot 62^{32k+16}+19\cdot 62^{31k+16}\\||-31\cdot 62^{30k+15}+19\cdot 62^{29k+15}-385\cdot 62^{28k+14}+60\cdot 62^{27k+14}-217\cdot 62^{26k+13}\\||-43\cdot 62^{25k+13}+913\cdot 62^{24k+12}-146\cdot 62^{23k+12}+837\cdot 62^{22k+11}-7\cdot 62^{21k+11}\\||-841\cdot 62^{20k+10}+178\cdot 62^{19k+10}-1333\cdot 62^{18k+9}+85\cdot 62^{17k+9}+249\cdot 62^{16k+8}\\||-124\cdot 62^{15k+8}+1209\cdot 62^{14k+7}-117\cdot 62^{13k+7}+331\cdot 62^{12k+6}+32\cdot 62^{11k+6}\\||-589\cdot 62^{10k+5}+77\cdot 62^{9k+5}-391\cdot 62^{8k+4}+14\cdot 62^{7k+4}+93\cdot 62^{6k+3}\\||-21\cdot 62^{5k+3}+139\cdot 62^{4k+2}-10\cdot 62^{3k+2}+31\cdot 62^{2k+1}-62^{k+1}+1)\\|\times|(62^{60k+30}+62^{59k+30}+31\cdot 62^{58k+29}+10\cdot 62^{57k+29}+139\cdot 62^{56k+28}\\||+21\cdot 62^{55k+28}+93\cdot 62^{54k+27}-14\cdot 62^{53k+27}-391\cdot 62^{52k+26}-77\cdot 62^{51k+26}\\||-589\cdot 62^{50k+25}-32\cdot 62^{49k+25}+331\cdot 62^{48k+24}+117\cdot 62^{47k+24}+1209\cdot 62^{46k+23}\\||+124\cdot 62^{45k+23}+249\cdot 62^{44k+22}-85\cdot 62^{43k+22}-1333\cdot 62^{42k+21}-178\cdot 62^{41k+21}\\||-841\cdot 62^{40k+20}+7\cdot 62^{39k+20}+837\cdot 62^{38k+19}+146\cdot 62^{37k+19}+913\cdot 62^{36k+18}\\||+43\cdot 62^{35k+18}-217\cdot 62^{34k+17}-60\cdot 62^{33k+17}-385\cdot 62^{32k+16}-19\cdot 62^{31k+16}\\||-31\cdot 62^{30k+15}-19\cdot 62^{29k+15}-385\cdot 62^{28k+14}-60\cdot 62^{27k+14}-217\cdot 62^{26k+13}\\||+43\cdot 62^{25k+13}+913\cdot 62^{24k+12}+146\cdot 62^{23k+12}+837\cdot 62^{22k+11}+7\cdot 62^{21k+11}\\||-841\cdot 62^{20k+10}-178\cdot 62^{19k+10}-1333\cdot 62^{18k+9}-85\cdot 62^{17k+9}+249\cdot 62^{16k+8}\\||+124\cdot 62^{15k+8}+1209\cdot 62^{14k+7}+117\cdot 62^{13k+7}+331\cdot 62^{12k+6}-32\cdot 62^{11k+6}\\||-589\cdot 62^{10k+5}-77\cdot 62^{9k+5}-391\cdot 62^{8k+4}-14\cdot 62^{7k+4}+93\cdot 62^{6k+3}\\||+21\cdot 62^{5k+3}+139\cdot 62^{4k+2}+10\cdot 62^{3k+2}+31\cdot 62^{2k+1}+62^{k+1}+1)\\{\large\Phi}_{65}(65^{2k+1})|=|65^{96k+48}-65^{94k+47}+65^{86k+43}-65^{84k+42}+65^{76k+38}\\||-65^{74k+37}+65^{70k+35}-65^{68k+34}+65^{66k+33}-65^{64k+32}\\||+65^{60k+30}-65^{58k+29}+65^{56k+28}-65^{54k+27}+65^{50k+25}\\||-65^{48k+24}+65^{46k+23}-65^{42k+21}+65^{40k+20}-65^{38k+19}\\||+65^{36k+18}-65^{32k+16}+65^{30k+15}-65^{28k+14}+65^{26k+13}\\||-65^{22k+11}+65^{20k+10}-65^{12k+6}+65^{10k+5}-65^{2k+1}+1\\|=|(65^{48k+24}-65^{47k+24}+32\cdot 65^{46k+23}-10\cdot 65^{45k+23}+138\cdot 65^{44k+22}\\||-19\cdot 65^{43k+22}+69\cdot 65^{42k+21}+14\cdot 65^{41k+21}-290\cdot 65^{40k+20}+38\cdot 65^{39k+20}\\||-79\cdot 65^{38k+19}-37\cdot 65^{37k+19}+582\cdot 65^{36k+18}-67\cdot 65^{35k+18}+133\cdot 65^{34k+17}\\||+53\cdot 65^{33k+17}-791\cdot 65^{32k+16}+86\cdot 65^{31k+16}-145\cdot 65^{30k+15}-67\cdot 65^{29k+15}\\||+921\cdot 65^{28k+14}-89\cdot 65^{27k+14}+22\cdot 65^{26k+13}+91\cdot 65^{25k+13}-1057\cdot 65^{24k+12}\\||+91\cdot 65^{23k+12}+22\cdot 65^{22k+11}-89\cdot 65^{21k+11}+921\cdot 65^{20k+10}-67\cdot 65^{19k+10}\\||-145\cdot 65^{18k+9}+86\cdot 65^{17k+9}-791\cdot 65^{16k+8}+53\cdot 65^{15k+8}+133\cdot 65^{14k+7}\\||-67\cdot 65^{13k+7}+582\cdot 65^{12k+6}-37\cdot 65^{11k+6}-79\cdot 65^{10k+5}+38\cdot 65^{9k+5}\\||-290\cdot 65^{8k+4}+14\cdot 65^{7k+4}+69\cdot 65^{6k+3}-19\cdot 65^{5k+3}+138\cdot 65^{4k+2}\\||-10\cdot 65^{3k+2}+32\cdot 65^{2k+1}-65^{k+1}+1)\\|\times|(65^{48k+24}+65^{47k+24}+32\cdot 65^{46k+23}+10\cdot 65^{45k+23}+138\cdot 65^{44k+22}\\||+19\cdot 65^{43k+22}+69\cdot 65^{42k+21}-14\cdot 65^{41k+21}-290\cdot 65^{40k+20}-38\cdot 65^{39k+20}\\||-79\cdot 65^{38k+19}+37\cdot 65^{37k+19}+582\cdot 65^{36k+18}+67\cdot 65^{35k+18}+133\cdot 65^{34k+17}\\||-53\cdot 65^{33k+17}-791\cdot 65^{32k+16}-86\cdot 65^{31k+16}-145\cdot 65^{30k+15}+67\cdot 65^{29k+15}\\||+921\cdot 65^{28k+14}+89\cdot 65^{27k+14}+22\cdot 65^{26k+13}-91\cdot 65^{25k+13}-1057\cdot 65^{24k+12}\\||-91\cdot 65^{23k+12}+22\cdot 65^{22k+11}+89\cdot 65^{21k+11}+921\cdot 65^{20k+10}+67\cdot 65^{19k+10}\\||-145\cdot 65^{18k+9}-86\cdot 65^{17k+9}-791\cdot 65^{16k+8}-53\cdot 65^{15k+8}+133\cdot 65^{14k+7}\\||+67\cdot 65^{13k+7}+582\cdot 65^{12k+6}+37\cdot 65^{11k+6}-79\cdot 65^{10k+5}-38\cdot 65^{9k+5}\\||-290\cdot 65^{8k+4}-14\cdot 65^{7k+4}+69\cdot 65^{6k+3}+19\cdot 65^{5k+3}+138\cdot 65^{4k+2}\\||+10\cdot 65^{3k+2}+32\cdot 65^{2k+1}+65^{k+1}+1)\\{\large\Phi}_{132}(66^{2k+1})|=|66^{80k+40}+66^{76k+38}-66^{68k+34}-66^{64k+32}+66^{56k+28}\\||+66^{52k+26}-66^{44k+22}-66^{40k+20}-66^{36k+18}+66^{28k+14}\\||+66^{24k+12}-66^{16k+8}-66^{12k+6}+66^{4k+2}+1\\|=|(66^{40k+20}-66^{39k+20}+33\cdot 66^{38k+19}-11\cdot 66^{37k+19}+182\cdot 66^{36k+18}\\||-37\cdot 66^{35k+18}+429\cdot 66^{34k+17}-69\cdot 66^{33k+17}+697\cdot 66^{32k+16}-102\cdot 66^{31k+16}\\||+924\cdot 66^{30k+15}-117\cdot 66^{29k+15}+905\cdot 66^{28k+14}-100\cdot 66^{27k+14}+693\cdot 66^{26k+13}\\||-67\cdot 66^{25k+13}+364\cdot 66^{24k+12}-22\cdot 66^{23k+12}+33\cdot 66^{22k+11}+6\cdot 66^{21k+11}\\||-73\cdot 66^{20k+10}+6\cdot 66^{19k+10}+33\cdot 66^{18k+9}-22\cdot 66^{17k+9}+364\cdot 66^{16k+8}\\||-67\cdot 66^{15k+8}+693\cdot 66^{14k+7}-100\cdot 66^{13k+7}+905\cdot 66^{12k+6}-117\cdot 66^{11k+6}\\||+924\cdot 66^{10k+5}-102\cdot 66^{9k+5}+697\cdot 66^{8k+4}-69\cdot 66^{7k+4}+429\cdot 66^{6k+3}\\||-37\cdot 66^{5k+3}+182\cdot 66^{4k+2}-11\cdot 66^{3k+2}+33\cdot 66^{2k+1}-66^{k+1}+1)\\|\times|(66^{40k+20}+66^{39k+20}+33\cdot 66^{38k+19}+11\cdot 66^{37k+19}+182\cdot 66^{36k+18}\\||+37\cdot 66^{35k+18}+429\cdot 66^{34k+17}+69\cdot 66^{33k+17}+697\cdot 66^{32k+16}+102\cdot 66^{31k+16}\\||+924\cdot 66^{30k+15}+117\cdot 66^{29k+15}+905\cdot 66^{28k+14}+100\cdot 66^{27k+14}+693\cdot 66^{26k+13}\\||+67\cdot 66^{25k+13}+364\cdot 66^{24k+12}+22\cdot 66^{23k+12}+33\cdot 66^{22k+11}-6\cdot 66^{21k+11}\\||-73\cdot 66^{20k+10}-6\cdot 66^{19k+10}+33\cdot 66^{18k+9}+22\cdot 66^{17k+9}+364\cdot 66^{16k+8}\\||+67\cdot 66^{15k+8}+693\cdot 66^{14k+7}+100\cdot 66^{13k+7}+905\cdot 66^{12k+6}+117\cdot 66^{11k+6}\\||+924\cdot 66^{10k+5}+102\cdot 66^{9k+5}+697\cdot 66^{8k+4}+69\cdot 66^{7k+4}+429\cdot 66^{6k+3}\\||+37\cdot 66^{5k+3}+182\cdot 66^{4k+2}+11\cdot 66^{3k+2}+33\cdot 66^{2k+1}+66^{k+1}+1)\\{\large\Phi}_{134}(67^{2k+1})|=|67^{132k+66}-67^{130k+65}+67^{128k+64}-67^{126k+63}+67^{124k+62}\\||-67^{122k+61}+67^{120k+60}-67^{118k+59}+67^{116k+58}-67^{114k+57}\\||+67^{112k+56}-67^{110k+55}+67^{108k+54}-67^{106k+53}+67^{104k+52}\\||-67^{102k+51}+67^{100k+50}-67^{98k+49}+67^{96k+48}-67^{94k+47}\\||+67^{92k+46}-67^{90k+45}+67^{88k+44}-67^{86k+43}+67^{84k+42}\\||-67^{82k+41}+67^{80k+40}-67^{78k+39}+67^{76k+38}-67^{74k+37}\\||+67^{72k+36}-67^{70k+35}+67^{68k+34}-67^{66k+33}+67^{64k+32}\\||-67^{62k+31}+67^{60k+30}-67^{58k+29}+67^{56k+28}-67^{54k+27}\\||+67^{52k+26}-67^{50k+25}+67^{48k+24}-67^{46k+23}+67^{44k+22}\\||-67^{42k+21}+67^{40k+20}-67^{38k+19}+67^{36k+18}-67^{34k+17}\\||+67^{32k+16}-67^{30k+15}+67^{28k+14}-67^{26k+13}+67^{24k+12}\\||-67^{22k+11}+67^{20k+10}-67^{18k+9}+67^{16k+8}-67^{14k+7}\\||+67^{12k+6}-67^{10k+5}+67^{8k+4}-67^{6k+3}+67^{4k+2}\\||-67^{2k+1}+1\\|=|(67^{66k+33}-67^{65k+33}+33\cdot 67^{64k+32}-11\cdot 67^{63k+32}+193\cdot 67^{62k+31}\\||-43\cdot 67^{61k+31}+565\cdot 67^{60k+30}-99\cdot 67^{59k+30}+1055\cdot 67^{58k+29}-155\cdot 67^{57k+29}\\||+1429\cdot 67^{56k+28}-187\cdot 67^{55k+28}+1599\cdot 67^{54k+27}-205\cdot 67^{53k+27}+1803\cdot 67^{52k+26}\\||-243\cdot 67^{51k+26}+2225\cdot 67^{50k+25}-301\cdot 67^{49k+25}+2637\cdot 67^{48k+24}-329\cdot 67^{47k+24}\\||+2617\cdot 67^{46k+23}-297\cdot 67^{45k+23}+2195\cdot 67^{44k+22}-243\cdot 67^{43k+22}+1869\cdot 67^{42k+21}\\||-225\cdot 67^{41k+21}+1875\cdot 67^{40k+20}-233\cdot 67^{39k+20}+1865\cdot 67^{38k+19}-209\cdot 67^{37k+19}\\||+1469\cdot 67^{36k+18}-147\cdot 67^{35k+18}+991\cdot 67^{34k+17}-111\cdot 67^{33k+17}+991\cdot 67^{32k+16}\\||-147\cdot 67^{31k+16}+1469\cdot 67^{30k+15}-209\cdot 67^{29k+15}+1865\cdot 67^{28k+14}-233\cdot 67^{27k+14}\\||+1875\cdot 67^{26k+13}-225\cdot 67^{25k+13}+1869\cdot 67^{24k+12}-243\cdot 67^{23k+12}+2195\cdot 67^{22k+11}\\||-297\cdot 67^{21k+11}+2617\cdot 67^{20k+10}-329\cdot 67^{19k+10}+2637\cdot 67^{18k+9}-301\cdot 67^{17k+9}\\||+2225\cdot 67^{16k+8}-243\cdot 67^{15k+8}+1803\cdot 67^{14k+7}-205\cdot 67^{13k+7}+1599\cdot 67^{12k+6}\\||-187\cdot 67^{11k+6}+1429\cdot 67^{10k+5}-155\cdot 67^{9k+5}+1055\cdot 67^{8k+4}-99\cdot 67^{7k+4}\\||+565\cdot 67^{6k+3}-43\cdot 67^{5k+3}+193\cdot 67^{4k+2}-11\cdot 67^{3k+2}+33\cdot 67^{2k+1}\\||-67^{k+1}+1)\\|\times|(67^{66k+33}+67^{65k+33}+33\cdot 67^{64k+32}+11\cdot 67^{63k+32}+193\cdot 67^{62k+31}\\||+43\cdot 67^{61k+31}+565\cdot 67^{60k+30}+99\cdot 67^{59k+30}+1055\cdot 67^{58k+29}+155\cdot 67^{57k+29}\\||+1429\cdot 67^{56k+28}+187\cdot 67^{55k+28}+1599\cdot 67^{54k+27}+205\cdot 67^{53k+27}+1803\cdot 67^{52k+26}\\||+243\cdot 67^{51k+26}+2225\cdot 67^{50k+25}+301\cdot 67^{49k+25}+2637\cdot 67^{48k+24}+329\cdot 67^{47k+24}\\||+2617\cdot 67^{46k+23}+297\cdot 67^{45k+23}+2195\cdot 67^{44k+22}+243\cdot 67^{43k+22}+1869\cdot 67^{42k+21}\\||+225\cdot 67^{41k+21}+1875\cdot 67^{40k+20}+233\cdot 67^{39k+20}+1865\cdot 67^{38k+19}+209\cdot 67^{37k+19}\\||+1469\cdot 67^{36k+18}+147\cdot 67^{35k+18}+991\cdot 67^{34k+17}+111\cdot 67^{33k+17}+991\cdot 67^{32k+16}\\||+147\cdot 67^{31k+16}+1469\cdot 67^{30k+15}+209\cdot 67^{29k+15}+1865\cdot 67^{28k+14}+233\cdot 67^{27k+14}\\||+1875\cdot 67^{26k+13}+225\cdot 67^{25k+13}+1869\cdot 67^{24k+12}+243\cdot 67^{23k+12}+2195\cdot 67^{22k+11}\\||+297\cdot 67^{21k+11}+2617\cdot 67^{20k+10}+329\cdot 67^{19k+10}+2637\cdot 67^{18k+9}+301\cdot 67^{17k+9}\\||+2225\cdot 67^{16k+8}+243\cdot 67^{15k+8}+1803\cdot 67^{14k+7}+205\cdot 67^{13k+7}+1599\cdot 67^{12k+6}\\||+187\cdot 67^{11k+6}+1429\cdot 67^{10k+5}+155\cdot 67^{9k+5}+1055\cdot 67^{8k+4}+99\cdot 67^{7k+4}\\||+565\cdot 67^{6k+3}+43\cdot 67^{5k+3}+193\cdot 67^{4k+2}+11\cdot 67^{3k+2}+33\cdot 67^{2k+1}\\||+67^{k+1}+1)\\{\large\Phi}_{69}(69^{2k+1})|=|69^{88k+44}-69^{86k+43}+69^{82k+41}-69^{80k+40}+69^{76k+38}\\||-69^{74k+37}+69^{70k+35}-69^{68k+34}+69^{64k+32}-69^{62k+31}\\||+69^{58k+29}-69^{56k+28}+69^{52k+26}-69^{50k+25}+69^{46k+23}\\||-69^{44k+22}+69^{42k+21}-69^{38k+19}+69^{36k+18}-69^{32k+16}\\||+69^{30k+15}-69^{26k+13}+69^{24k+12}-69^{20k+10}+69^{18k+9}\\||-69^{14k+7}+69^{12k+6}-69^{8k+4}+69^{6k+3}-69^{2k+1}+1\\|=|(69^{44k+22}-69^{43k+22}+34\cdot 69^{42k+21}-11\cdot 69^{41k+21}+181\cdot 69^{40k+20}\\||-34\cdot 69^{39k+20}+367\cdot 69^{38k+19}-51\cdot 69^{37k+19}+466\cdot 69^{36k+18}-61\cdot 69^{35k+18}\\||+529\cdot 69^{34k+17}-60\cdot 69^{33k+17}+409\cdot 69^{32k+16}-37\cdot 69^{31k+16}+256\cdot 69^{30k+15}\\||-33\cdot 69^{29k+15}+325\cdot 69^{28k+14}-44\cdot 69^{27k+14}+397\cdot 69^{26k+13}-55\cdot 69^{25k+13}\\||+562\cdot 69^{24k+12}-81\cdot 69^{23k+12}+721\cdot 69^{22k+11}-81\cdot 69^{21k+11}+562\cdot 69^{20k+10}\\||-55\cdot 69^{19k+10}+397\cdot 69^{18k+9}-44\cdot 69^{17k+9}+325\cdot 69^{16k+8}-33\cdot 69^{15k+8}\\||+256\cdot 69^{14k+7}-37\cdot 69^{13k+7}+409\cdot 69^{12k+6}-60\cdot 69^{11k+6}+529\cdot 69^{10k+5}\\||-61\cdot 69^{9k+5}+466\cdot 69^{8k+4}-51\cdot 69^{7k+4}+367\cdot 69^{6k+3}-34\cdot 69^{5k+3}\\||+181\cdot 69^{4k+2}-11\cdot 69^{3k+2}+34\cdot 69^{2k+1}-69^{k+1}+1)\\|\times|(69^{44k+22}+69^{43k+22}+34\cdot 69^{42k+21}+11\cdot 69^{41k+21}+181\cdot 69^{40k+20}\\||+34\cdot 69^{39k+20}+367\cdot 69^{38k+19}+51\cdot 69^{37k+19}+466\cdot 69^{36k+18}+61\cdot 69^{35k+18}\\||+529\cdot 69^{34k+17}+60\cdot 69^{33k+17}+409\cdot 69^{32k+16}+37\cdot 69^{31k+16}+256\cdot 69^{30k+15}\\||+33\cdot 69^{29k+15}+325\cdot 69^{28k+14}+44\cdot 69^{27k+14}+397\cdot 69^{26k+13}+55\cdot 69^{25k+13}\\||+562\cdot 69^{24k+12}+81\cdot 69^{23k+12}+721\cdot 69^{22k+11}+81\cdot 69^{21k+11}+562\cdot 69^{20k+10}\\||+55\cdot 69^{19k+10}+397\cdot 69^{18k+9}+44\cdot 69^{17k+9}+325\cdot 69^{16k+8}+33\cdot 69^{15k+8}\\||+256\cdot 69^{14k+7}+37\cdot 69^{13k+7}+409\cdot 69^{12k+6}+60\cdot 69^{11k+6}+529\cdot 69^{10k+5}\\||+61\cdot 69^{9k+5}+466\cdot 69^{8k+4}+51\cdot 69^{7k+4}+367\cdot 69^{6k+3}+34\cdot 69^{5k+3}\\||+181\cdot 69^{4k+2}+11\cdot 69^{3k+2}+34\cdot 69^{2k+1}+69^{k+1}+1)\\{\large\Phi}_{140}(70^{2k+1})|=|70^{96k+48}+70^{92k+46}-70^{76k+38}-70^{72k+36}-70^{68k+34}\\||-70^{64k+32}+70^{56k+28}+70^{52k+26}+70^{48k+24}+70^{44k+22}\\||+70^{40k+20}-70^{32k+16}-70^{28k+14}-70^{24k+12}-70^{20k+10}\\||+70^{4k+2}+1\\|=|(70^{48k+24}-70^{47k+24}+35\cdot 70^{46k+23}-12\cdot 70^{45k+23}+228\cdot 70^{44k+22}\\||-53\cdot 70^{43k+22}+770\cdot 70^{42k+21}-146\cdot 70^{41k+21}+1798\cdot 70^{40k+20}-297\cdot 70^{39k+20}\\||+3255\cdot 70^{38k+19}-487\cdot 70^{37k+19}+4911\cdot 70^{36k+18}-686\cdot 70^{35k+18}+6545\cdot 70^{34k+17}\\||-875\cdot 70^{33k+17}+8065\cdot 70^{32k+16}-1049\cdot 70^{31k+16}+9450\cdot 70^{30k+15}-1204\cdot 70^{29k+15}\\||+10629\cdot 70^{28k+14}-1326\cdot 70^{27k+14}+11445\cdot 70^{26k+13}-1394\cdot 70^{25k+13}+11737\cdot 70^{24k+12}\\||-1394\cdot 70^{23k+12}+11445\cdot 70^{22k+11}-1326\cdot 70^{21k+11}+10629\cdot 70^{20k+10}-1204\cdot 70^{19k+10}\\||+9450\cdot 70^{18k+9}-1049\cdot 70^{17k+9}+8065\cdot 70^{16k+8}-875\cdot 70^{15k+8}+6545\cdot 70^{14k+7}\\||-686\cdot 70^{13k+7}+4911\cdot 70^{12k+6}-487\cdot 70^{11k+6}+3255\cdot 70^{10k+5}-297\cdot 70^{9k+5}\\||+1798\cdot 70^{8k+4}-146\cdot 70^{7k+4}+770\cdot 70^{6k+3}-53\cdot 70^{5k+3}+228\cdot 70^{4k+2}\\||-12\cdot 70^{3k+2}+35\cdot 70^{2k+1}-70^{k+1}+1)\\|\times|(70^{48k+24}+70^{47k+24}+35\cdot 70^{46k+23}+12\cdot 70^{45k+23}+228\cdot 70^{44k+22}\\||+53\cdot 70^{43k+22}+770\cdot 70^{42k+21}+146\cdot 70^{41k+21}+1798\cdot 70^{40k+20}+297\cdot 70^{39k+20}\\||+3255\cdot 70^{38k+19}+487\cdot 70^{37k+19}+4911\cdot 70^{36k+18}+686\cdot 70^{35k+18}+6545\cdot 70^{34k+17}\\||+875\cdot 70^{33k+17}+8065\cdot 70^{32k+16}+1049\cdot 70^{31k+16}+9450\cdot 70^{30k+15}+1204\cdot 70^{29k+15}\\||+10629\cdot 70^{28k+14}+1326\cdot 70^{27k+14}+11445\cdot 70^{26k+13}+1394\cdot 70^{25k+13}+11737\cdot 70^{24k+12}\\||+1394\cdot 70^{23k+12}+11445\cdot 70^{22k+11}+1326\cdot 70^{21k+11}+10629\cdot 70^{20k+10}+1204\cdot 70^{19k+10}\\||+9450\cdot 70^{18k+9}+1049\cdot 70^{17k+9}+8065\cdot 70^{16k+8}+875\cdot 70^{15k+8}+6545\cdot 70^{14k+7}\\||+686\cdot 70^{13k+7}+4911\cdot 70^{12k+6}+487\cdot 70^{11k+6}+3255\cdot 70^{10k+5}+297\cdot 70^{9k+5}\\||+1798\cdot 70^{8k+4}+146\cdot 70^{7k+4}+770\cdot 70^{6k+3}+53\cdot 70^{5k+3}+228\cdot 70^{4k+2}\\||+12\cdot 70^{3k+2}+35\cdot 70^{2k+1}+70^{k+1}+1)\end{eqnarray}%%
Φ142(712k+1)⋯Φ158(792k+1)Φ142(712k+1)⋯Φ158(792k+1)
%%\begin{eqnarray}{\large\Phi}_{142}(71^{2k+1})|=|71^{140k+70}-71^{138k+69}+71^{136k+68}-71^{134k+67}+71^{132k+66}\\||-71^{130k+65}+71^{128k+64}-71^{126k+63}+71^{124k+62}-71^{122k+61}\\||+71^{120k+60}-71^{118k+59}+71^{116k+58}-71^{114k+57}+71^{112k+56}\\||-71^{110k+55}+71^{108k+54}-71^{106k+53}+71^{104k+52}-71^{102k+51}\\||+71^{100k+50}-71^{98k+49}+71^{96k+48}-71^{94k+47}+71^{92k+46}\\||-71^{90k+45}+71^{88k+44}-71^{86k+43}+71^{84k+42}-71^{82k+41}\\||+71^{80k+40}-71^{78k+39}+71^{76k+38}-71^{74k+37}+71^{72k+36}\\||-71^{70k+35}+71^{68k+34}-71^{66k+33}+71^{64k+32}-71^{62k+31}\\||+71^{60k+30}-71^{58k+29}+71^{56k+28}-71^{54k+27}+71^{52k+26}\\||-71^{50k+25}+71^{48k+24}-71^{46k+23}+71^{44k+22}-71^{42k+21}\\||+71^{40k+20}-71^{38k+19}+71^{36k+18}-71^{34k+17}+71^{32k+16}\\||-71^{30k+15}+71^{28k+14}-71^{26k+13}+71^{24k+12}-71^{22k+11}\\||+71^{20k+10}-71^{18k+9}+71^{16k+8}-71^{14k+7}+71^{12k+6}\\||-71^{10k+5}+71^{8k+4}-71^{6k+3}+71^{4k+2}-71^{2k+1}+1\\|=|(71^{70k+35}-71^{69k+35}+35\cdot 71^{68k+34}-11\cdot 71^{67k+34}+169\cdot 71^{66k+33}\\||-25\cdot 71^{65k+33}+155\cdot 71^{64k+32}-71^{63k+32}-109\cdot 71^{62k+31}+5\cdot 71^{61k+31}\\||+233\cdot 71^{60k+30}-63\cdot 71^{59k+30}+597\cdot 71^{58k+29}-43\cdot 71^{57k+29}+39\cdot 71^{56k+28}\\||+9\cdot 71^{55k+28}+101\cdot 71^{54k+27}-43\cdot 71^{53k+27}+445\cdot 71^{52k+26}-37\cdot 71^{51k+26}\\||+163\cdot 71^{50k+25}-21\cdot 71^{49k+25}+293\cdot 71^{48k+24}-35\cdot 71^{47k+24}+89\cdot 71^{46k+23}\\||+19\cdot 71^{45k+23}-203\cdot 71^{44k+22}-71^{43k+22}+249\cdot 71^{42k+21}-29\cdot 71^{41k+21}\\||-49\cdot 71^{40k+20}+47\cdot 71^{39k+20}-505\cdot 71^{38k+19}+35\cdot 71^{37k+19}+37\cdot 71^{36k+18}\\||-23\cdot 71^{35k+18}+37\cdot 71^{34k+17}+35\cdot 71^{33k+17}-505\cdot 71^{32k+16}+47\cdot 71^{31k+16}\\||-49\cdot 71^{30k+15}-29\cdot 71^{29k+15}+249\cdot 71^{28k+14}-71^{27k+14}-203\cdot 71^{26k+13}\\||+19\cdot 71^{25k+13}+89\cdot 71^{24k+12}-35\cdot 71^{23k+12}+293\cdot 71^{22k+11}-21\cdot 71^{21k+11}\\||+163\cdot 71^{20k+10}-37\cdot 71^{19k+10}+445\cdot 71^{18k+9}-43\cdot 71^{17k+9}+101\cdot 71^{16k+8}\\||+9\cdot 71^{15k+8}+39\cdot 71^{14k+7}-43\cdot 71^{13k+7}+597\cdot 71^{12k+6}-63\cdot 71^{11k+6}\\||+233\cdot 71^{10k+5}+5\cdot 71^{9k+5}-109\cdot 71^{8k+4}-71^{7k+4}+155\cdot 71^{6k+3}\\||-25\cdot 71^{5k+3}+169\cdot 71^{4k+2}-11\cdot 71^{3k+2}+35\cdot 71^{2k+1}-71^{k+1}+1)\\|\times|(71^{70k+35}+71^{69k+35}+35\cdot 71^{68k+34}+11\cdot 71^{67k+34}+169\cdot 71^{66k+33}\\||+25\cdot 71^{65k+33}+155\cdot 71^{64k+32}+71^{63k+32}-109\cdot 71^{62k+31}-5\cdot 71^{61k+31}\\||+233\cdot 71^{60k+30}+63\cdot 71^{59k+30}+597\cdot 71^{58k+29}+43\cdot 71^{57k+29}+39\cdot 71^{56k+28}\\||-9\cdot 71^{55k+28}+101\cdot 71^{54k+27}+43\cdot 71^{53k+27}+445\cdot 71^{52k+26}+37\cdot 71^{51k+26}\\||+163\cdot 71^{50k+25}+21\cdot 71^{49k+25}+293\cdot 71^{48k+24}+35\cdot 71^{47k+24}+89\cdot 71^{46k+23}\\||-19\cdot 71^{45k+23}-203\cdot 71^{44k+22}+71^{43k+22}+249\cdot 71^{42k+21}+29\cdot 71^{41k+21}\\||-49\cdot 71^{40k+20}-47\cdot 71^{39k+20}-505\cdot 71^{38k+19}-35\cdot 71^{37k+19}+37\cdot 71^{36k+18}\\||+23\cdot 71^{35k+18}+37\cdot 71^{34k+17}-35\cdot 71^{33k+17}-505\cdot 71^{32k+16}-47\cdot 71^{31k+16}\\||-49\cdot 71^{30k+15}+29\cdot 71^{29k+15}+249\cdot 71^{28k+14}+71^{27k+14}-203\cdot 71^{26k+13}\\||-19\cdot 71^{25k+13}+89\cdot 71^{24k+12}+35\cdot 71^{23k+12}+293\cdot 71^{22k+11}+21\cdot 71^{21k+11}\\||+163\cdot 71^{20k+10}+37\cdot 71^{19k+10}+445\cdot 71^{18k+9}+43\cdot 71^{17k+9}+101\cdot 71^{16k+8}\\||-9\cdot 71^{15k+8}+39\cdot 71^{14k+7}+43\cdot 71^{13k+7}+597\cdot 71^{12k+6}+63\cdot 71^{11k+6}\\||+233\cdot 71^{10k+5}-5\cdot 71^{9k+5}-109\cdot 71^{8k+4}+71^{7k+4}+155\cdot 71^{6k+3}\\||+25\cdot 71^{5k+3}+169\cdot 71^{4k+2}+11\cdot 71^{3k+2}+35\cdot 71^{2k+1}+71^{k+1}+1)\\{\large\Phi}_{73}(73^{2k+1})|=|73^{144k+72}+73^{142k+71}+73^{140k+70}+73^{138k+69}+73^{136k+68}\\||+73^{134k+67}+73^{132k+66}+73^{130k+65}+73^{128k+64}+73^{126k+63}\\||+73^{124k+62}+73^{122k+61}+73^{120k+60}+73^{118k+59}+73^{116k+58}\\||+73^{114k+57}+73^{112k+56}+73^{110k+55}+73^{108k+54}+73^{106k+53}\\||+73^{104k+52}+73^{102k+51}+73^{100k+50}+73^{98k+49}+73^{96k+48}\\||+73^{94k+47}+73^{92k+46}+73^{90k+45}+73^{88k+44}+73^{86k+43}\\||+73^{84k+42}+73^{82k+41}+73^{80k+40}+73^{78k+39}+73^{76k+38}\\||+73^{74k+37}+73^{72k+36}+73^{70k+35}+73^{68k+34}+73^{66k+33}\\||+73^{64k+32}+73^{62k+31}+73^{60k+30}+73^{58k+29}+73^{56k+28}\\||+73^{54k+27}+73^{52k+26}+73^{50k+25}+73^{48k+24}+73^{46k+23}\\||+73^{44k+22}+73^{42k+21}+73^{40k+20}+73^{38k+19}+73^{36k+18}\\||+73^{34k+17}+73^{32k+16}+73^{30k+15}+73^{28k+14}+73^{26k+13}\\||+73^{24k+12}+73^{22k+11}+73^{20k+10}+73^{18k+9}+73^{16k+8}\\||+73^{14k+7}+73^{12k+6}+73^{10k+5}+73^{8k+4}+73^{6k+3}\\||+73^{4k+2}+73^{2k+1}+1\\|=|(73^{72k+36}-73^{71k+36}+37\cdot 73^{70k+35}-13\cdot 73^{69k+35}+265\cdot 73^{68k+34}\\||-63\cdot 73^{67k+34}+963\cdot 73^{66k+33}-181\cdot 73^{65k+33}+2257\cdot 73^{64k+32}-353\cdot 73^{63k+32}\\||+3703\cdot 73^{62k+31}-489\cdot 73^{61k+31}+4313\cdot 73^{60k+30}-471\cdot 73^{59k+30}+3301\cdot 73^{58k+29}\\||-259\cdot 73^{57k+29}+891\cdot 73^{56k+28}+59\cdot 73^{55k+28}-1823\cdot 73^{54k+27}+347\cdot 73^{53k+27}\\||-3889\cdot 73^{52k+26}+539\cdot 73^{51k+26}-5149\cdot 73^{50k+25}+649\cdot 73^{49k+25}-5777\cdot 73^{48k+24}\\||+677\cdot 73^{47k+24}-5479\cdot 73^{46k+23}+559\cdot 73^{45k+23}-3633\cdot 73^{44k+22}+243\cdot 73^{43k+22}\\||-205\cdot 73^{42k+21}-213\cdot 73^{41k+21}+3805\cdot 73^{40k+20}-651\cdot 73^{39k+20}+6933\cdot 73^{38k+19}\\||-913\cdot 73^{37k+19}+8097\cdot 73^{36k+18}-913\cdot 73^{35k+18}+6933\cdot 73^{34k+17}-651\cdot 73^{33k+17}\\||+3805\cdot 73^{32k+16}-213\cdot 73^{31k+16}-205\cdot 73^{30k+15}+243\cdot 73^{29k+15}-3633\cdot 73^{28k+14}\\||+559\cdot 73^{27k+14}-5479\cdot 73^{26k+13}+677\cdot 73^{25k+13}-5777\cdot 73^{24k+12}+649\cdot 73^{23k+12}\\||-5149\cdot 73^{22k+11}+539\cdot 73^{21k+11}-3889\cdot 73^{20k+10}+347\cdot 73^{19k+10}-1823\cdot 73^{18k+9}\\||+59\cdot 73^{17k+9}+891\cdot 73^{16k+8}-259\cdot 73^{15k+8}+3301\cdot 73^{14k+7}-471\cdot 73^{13k+7}\\||+4313\cdot 73^{12k+6}-489\cdot 73^{11k+6}+3703\cdot 73^{10k+5}-353\cdot 73^{9k+5}+2257\cdot 73^{8k+4}\\||-181\cdot 73^{7k+4}+963\cdot 73^{6k+3}-63\cdot 73^{5k+3}+265\cdot 73^{4k+2}-13\cdot 73^{3k+2}\\||+37\cdot 73^{2k+1}-73^{k+1}+1)\\|\times|(73^{72k+36}+73^{71k+36}+37\cdot 73^{70k+35}+13\cdot 73^{69k+35}+265\cdot 73^{68k+34}\\||+63\cdot 73^{67k+34}+963\cdot 73^{66k+33}+181\cdot 73^{65k+33}+2257\cdot 73^{64k+32}+353\cdot 73^{63k+32}\\||+3703\cdot 73^{62k+31}+489\cdot 73^{61k+31}+4313\cdot 73^{60k+30}+471\cdot 73^{59k+30}+3301\cdot 73^{58k+29}\\||+259\cdot 73^{57k+29}+891\cdot 73^{56k+28}-59\cdot 73^{55k+28}-1823\cdot 73^{54k+27}-347\cdot 73^{53k+27}\\||-3889\cdot 73^{52k+26}-539\cdot 73^{51k+26}-5149\cdot 73^{50k+25}-649\cdot 73^{49k+25}-5777\cdot 73^{48k+24}\\||-677\cdot 73^{47k+24}-5479\cdot 73^{46k+23}-559\cdot 73^{45k+23}-3633\cdot 73^{44k+22}-243\cdot 73^{43k+22}\\||-205\cdot 73^{42k+21}+213\cdot 73^{41k+21}+3805\cdot 73^{40k+20}+651\cdot 73^{39k+20}+6933\cdot 73^{38k+19}\\||+913\cdot 73^{37k+19}+8097\cdot 73^{36k+18}+913\cdot 73^{35k+18}+6933\cdot 73^{34k+17}+651\cdot 73^{33k+17}\\||+3805\cdot 73^{32k+16}+213\cdot 73^{31k+16}-205\cdot 73^{30k+15}-243\cdot 73^{29k+15}-3633\cdot 73^{28k+14}\\||-559\cdot 73^{27k+14}-5479\cdot 73^{26k+13}-677\cdot 73^{25k+13}-5777\cdot 73^{24k+12}-649\cdot 73^{23k+12}\\||-5149\cdot 73^{22k+11}-539\cdot 73^{21k+11}-3889\cdot 73^{20k+10}-347\cdot 73^{19k+10}-1823\cdot 73^{18k+9}\\||-59\cdot 73^{17k+9}+891\cdot 73^{16k+8}+259\cdot 73^{15k+8}+3301\cdot 73^{14k+7}+471\cdot 73^{13k+7}\\||+4313\cdot 73^{12k+6}+489\cdot 73^{11k+6}+3703\cdot 73^{10k+5}+353\cdot 73^{9k+5}+2257\cdot 73^{8k+4}\\||+181\cdot 73^{7k+4}+963\cdot 73^{6k+3}+63\cdot 73^{5k+3}+265\cdot 73^{4k+2}+13\cdot 73^{3k+2}\\||+37\cdot 73^{2k+1}+73^{k+1}+1)\\{\large\Phi}_{148}(74^{2k+1})|=|74^{144k+72}-74^{140k+70}+74^{136k+68}-74^{132k+66}+74^{128k+64}\\||-74^{124k+62}+74^{120k+60}-74^{116k+58}+74^{112k+56}-74^{108k+54}\\||+74^{104k+52}-74^{100k+50}+74^{96k+48}-74^{92k+46}+74^{88k+44}\\||-74^{84k+42}+74^{80k+40}-74^{76k+38}+74^{72k+36}-74^{68k+34}\\||+74^{64k+32}-74^{60k+30}+74^{56k+28}-74^{52k+26}+74^{48k+24}\\||-74^{44k+22}+74^{40k+20}-74^{36k+18}+74^{32k+16}-74^{28k+14}\\||+74^{24k+12}-74^{20k+10}+74^{16k+8}-74^{12k+6}+74^{8k+4}\\||-74^{4k+2}+1\\|=|(74^{72k+36}-74^{71k+36}+37\cdot 74^{70k+35}-12\cdot 74^{69k+35}+203\cdot 74^{68k+34}\\||-33\cdot 74^{67k+34}+259\cdot 74^{66k+33}-10\cdot 74^{65k+33}-143\cdot 74^{64k+32}+25\cdot 74^{63k+32}\\||+37\cdot 74^{62k+31}-62\cdot 74^{61k+31}+927\cdot 74^{60k+30}-99\cdot 74^{59k+30}+259\cdot 74^{58k+29}\\||+54\cdot 74^{57k+29}-751\cdot 74^{56k+28}+35\cdot 74^{55k+28}+629\cdot 74^{54k+27}-158\cdot 74^{53k+27}\\||+1279\cdot 74^{52k+26}-41\cdot 74^{51k+26}-777\cdot 74^{50k+25}+144\cdot 74^{49k+25}-639\cdot 74^{48k+24}\\||-65\cdot 74^{47k+24}+1369\cdot 74^{46k+23}-128\cdot 74^{45k+23}-33\cdot 74^{44k+22}+127\cdot 74^{43k+22}\\||-1221\cdot 74^{42k+21}+44\cdot 74^{41k+21}+653\cdot 74^{40k+20}-113\cdot 74^{39k+20}+333\cdot 74^{38k+19}\\||+78\cdot 74^{37k+19}-1145\cdot 74^{36k+18}+78\cdot 74^{35k+18}+333\cdot 74^{34k+17}-113\cdot 74^{33k+17}\\||+653\cdot 74^{32k+16}+44\cdot 74^{31k+16}-1221\cdot 74^{30k+15}+127\cdot 74^{29k+15}-33\cdot 74^{28k+14}\\||-128\cdot 74^{27k+14}+1369\cdot 74^{26k+13}-65\cdot 74^{25k+13}-639\cdot 74^{24k+12}+144\cdot 74^{23k+12}\\||-777\cdot 74^{22k+11}-41\cdot 74^{21k+11}+1279\cdot 74^{20k+10}-158\cdot 74^{19k+10}+629\cdot 74^{18k+9}\\||+35\cdot 74^{17k+9}-751\cdot 74^{16k+8}+54\cdot 74^{15k+8}+259\cdot 74^{14k+7}-99\cdot 74^{13k+7}\\||+927\cdot 74^{12k+6}-62\cdot 74^{11k+6}+37\cdot 74^{10k+5}+25\cdot 74^{9k+5}-143\cdot 74^{8k+4}\\||-10\cdot 74^{7k+4}+259\cdot 74^{6k+3}-33\cdot 74^{5k+3}+203\cdot 74^{4k+2}-12\cdot 74^{3k+2}\\||+37\cdot 74^{2k+1}-74^{k+1}+1)\\|\times|(74^{72k+36}+74^{71k+36}+37\cdot 74^{70k+35}+12\cdot 74^{69k+35}+203\cdot 74^{68k+34}\\||+33\cdot 74^{67k+34}+259\cdot 74^{66k+33}+10\cdot 74^{65k+33}-143\cdot 74^{64k+32}-25\cdot 74^{63k+32}\\||+37\cdot 74^{62k+31}+62\cdot 74^{61k+31}+927\cdot 74^{60k+30}+99\cdot 74^{59k+30}+259\cdot 74^{58k+29}\\||-54\cdot 74^{57k+29}-751\cdot 74^{56k+28}-35\cdot 74^{55k+28}+629\cdot 74^{54k+27}+158\cdot 74^{53k+27}\\||+1279\cdot 74^{52k+26}+41\cdot 74^{51k+26}-777\cdot 74^{50k+25}-144\cdot 74^{49k+25}-639\cdot 74^{48k+24}\\||+65\cdot 74^{47k+24}+1369\cdot 74^{46k+23}+128\cdot 74^{45k+23}-33\cdot 74^{44k+22}-127\cdot 74^{43k+22}\\||-1221\cdot 74^{42k+21}-44\cdot 74^{41k+21}+653\cdot 74^{40k+20}+113\cdot 74^{39k+20}+333\cdot 74^{38k+19}\\||-78\cdot 74^{37k+19}-1145\cdot 74^{36k+18}-78\cdot 74^{35k+18}+333\cdot 74^{34k+17}+113\cdot 74^{33k+17}\\||+653\cdot 74^{32k+16}-44\cdot 74^{31k+16}-1221\cdot 74^{30k+15}-127\cdot 74^{29k+15}-33\cdot 74^{28k+14}\\||+128\cdot 74^{27k+14}+1369\cdot 74^{26k+13}+65\cdot 74^{25k+13}-639\cdot 74^{24k+12}-144\cdot 74^{23k+12}\\||-777\cdot 74^{22k+11}+41\cdot 74^{21k+11}+1279\cdot 74^{20k+10}+158\cdot 74^{19k+10}+629\cdot 74^{18k+9}\\||-35\cdot 74^{17k+9}-751\cdot 74^{16k+8}-54\cdot 74^{15k+8}+259\cdot 74^{14k+7}+99\cdot 74^{13k+7}\\||+927\cdot 74^{12k+6}+62\cdot 74^{11k+6}+37\cdot 74^{10k+5}-25\cdot 74^{9k+5}-143\cdot 74^{8k+4}\\||+10\cdot 74^{7k+4}+259\cdot 74^{6k+3}+33\cdot 74^{5k+3}+203\cdot 74^{4k+2}+12\cdot 74^{3k+2}\\||+37\cdot 74^{2k+1}+74^{k+1}+1)\\{\large\Phi}_{77}(77^{2k+1})|=|77^{120k+60}-77^{118k+59}+77^{106k+53}-77^{104k+52}+77^{98k+49}\\||-77^{96k+48}+77^{92k+46}-77^{90k+45}+77^{84k+42}-77^{82k+41}\\||+77^{78k+39}-77^{74k+37}+77^{70k+35}-77^{68k+34}+77^{64k+32}\\||-77^{60k+30}+77^{56k+28}-77^{52k+26}+77^{50k+25}-77^{46k+23}\\||+77^{42k+21}-77^{38k+19}+77^{36k+18}-77^{30k+15}+77^{28k+14}\\||-77^{24k+12}+77^{22k+11}-77^{16k+8}+77^{14k+7}-77^{2k+1}+1\\|=|(77^{60k+30}-77^{59k+30}+38\cdot 77^{58k+29}-12\cdot 77^{57k+29}+202\cdot 77^{56k+28}\\||-30\cdot 77^{55k+28}+178\cdot 77^{54k+27}+15\cdot 77^{53k+27}-601\cdot 77^{52k+26}+112\cdot 77^{51k+26}\\||-952\cdot 77^{50k+25}+37\cdot 77^{49k+25}+749\cdot 77^{48k+24}-202\cdot 77^{47k+24}+2129\cdot 77^{46k+23}\\||-165\cdot 77^{45k+23}-102\cdot 77^{44k+22}+206\cdot 77^{43k+22}-2759\cdot 77^{42k+21}+271\cdot 77^{41k+21}\\||-802\cdot 77^{40k+20}-131\cdot 77^{39k+20}+2434\cdot 77^{38k+19}-273\cdot 77^{37k+19}+1146\cdot 77^{36k+18}\\||+59\cdot 77^{35k+18}-1607\cdot 77^{34k+17}+176\cdot 77^{33k+17}-505\cdot 77^{32k+16}-82\cdot 77^{31k+16}\\||+1253\cdot 77^{30k+15}-82\cdot 77^{29k+15}-505\cdot 77^{28k+14}+176\cdot 77^{27k+14}-1607\cdot 77^{26k+13}\\||+59\cdot 77^{25k+13}+1146\cdot 77^{24k+12}-273\cdot 77^{23k+12}+2434\cdot 77^{22k+11}-131\cdot 77^{21k+11}\\||-802\cdot 77^{20k+10}+271\cdot 77^{19k+10}-2759\cdot 77^{18k+9}+206\cdot 77^{17k+9}-102\cdot 77^{16k+8}\\||-165\cdot 77^{15k+8}+2129\cdot 77^{14k+7}-202\cdot 77^{13k+7}+749\cdot 77^{12k+6}+37\cdot 77^{11k+6}\\||-952\cdot 77^{10k+5}+112\cdot 77^{9k+5}-601\cdot 77^{8k+4}+15\cdot 77^{7k+4}+178\cdot 77^{6k+3}\\||-30\cdot 77^{5k+3}+202\cdot 77^{4k+2}-12\cdot 77^{3k+2}+38\cdot 77^{2k+1}-77^{k+1}+1)\\|\times|(77^{60k+30}+77^{59k+30}+38\cdot 77^{58k+29}+12\cdot 77^{57k+29}+202\cdot 77^{56k+28}\\||+30\cdot 77^{55k+28}+178\cdot 77^{54k+27}-15\cdot 77^{53k+27}-601\cdot 77^{52k+26}-112\cdot 77^{51k+26}\\||-952\cdot 77^{50k+25}-37\cdot 77^{49k+25}+749\cdot 77^{48k+24}+202\cdot 77^{47k+24}+2129\cdot 77^{46k+23}\\||+165\cdot 77^{45k+23}-102\cdot 77^{44k+22}-206\cdot 77^{43k+22}-2759\cdot 77^{42k+21}-271\cdot 77^{41k+21}\\||-802\cdot 77^{40k+20}+131\cdot 77^{39k+20}+2434\cdot 77^{38k+19}+273\cdot 77^{37k+19}+1146\cdot 77^{36k+18}\\||-59\cdot 77^{35k+18}-1607\cdot 77^{34k+17}-176\cdot 77^{33k+17}-505\cdot 77^{32k+16}+82\cdot 77^{31k+16}\\||+1253\cdot 77^{30k+15}+82\cdot 77^{29k+15}-505\cdot 77^{28k+14}-176\cdot 77^{27k+14}-1607\cdot 77^{26k+13}\\||-59\cdot 77^{25k+13}+1146\cdot 77^{24k+12}+273\cdot 77^{23k+12}+2434\cdot 77^{22k+11}+131\cdot 77^{21k+11}\\||-802\cdot 77^{20k+10}-271\cdot 77^{19k+10}-2759\cdot 77^{18k+9}-206\cdot 77^{17k+9}-102\cdot 77^{16k+8}\\||+165\cdot 77^{15k+8}+2129\cdot 77^{14k+7}+202\cdot 77^{13k+7}+749\cdot 77^{12k+6}-37\cdot 77^{11k+6}\\||-952\cdot 77^{10k+5}-112\cdot 77^{9k+5}-601\cdot 77^{8k+4}-15\cdot 77^{7k+4}+178\cdot 77^{6k+3}\\||+30\cdot 77^{5k+3}+202\cdot 77^{4k+2}+12\cdot 77^{3k+2}+38\cdot 77^{2k+1}+77^{k+1}+1)\\{\large\Phi}_{156}(78^{2k+1})|=|78^{96k+48}+78^{92k+46}-78^{84k+42}-78^{80k+40}+78^{72k+36}\\||+78^{68k+34}-78^{60k+30}-78^{56k+28}+78^{48k+24}-78^{40k+20}\\||-78^{36k+18}+78^{28k+14}+78^{24k+12}-78^{16k+8}-78^{12k+6}\\||+78^{4k+2}+1\\|=|(78^{48k+24}-78^{47k+24}+39\cdot 78^{46k+23}-13\cdot 78^{45k+23}+254\cdot 78^{44k+22}\\||-51\cdot 78^{43k+22}+663\cdot 78^{42k+21}-93\cdot 78^{41k+21}+853\cdot 78^{40k+20}-82\cdot 78^{39k+20}\\||+468\cdot 78^{38k+19}-20\cdot 78^{37k+19}-37\cdot 78^{36k+18}+10\cdot 78^{35k+18}+39\cdot 78^{34k+17}\\||-32\cdot 78^{33k+17}+532\cdot 78^{32k+16}-77\cdot 78^{31k+16}+663\cdot 78^{30k+15}-54\cdot 78^{29k+15}\\||+173\cdot 78^{28k+14}+19\cdot 78^{27k+14}-468\cdot 78^{26k+13}+76\cdot 78^{25k+13}-743\cdot 78^{24k+12}\\||+76\cdot 78^{23k+12}-468\cdot 78^{22k+11}+19\cdot 78^{21k+11}+173\cdot 78^{20k+10}-54\cdot 78^{19k+10}\\||+663\cdot 78^{18k+9}-77\cdot 78^{17k+9}+532\cdot 78^{16k+8}-32\cdot 78^{15k+8}+39\cdot 78^{14k+7}\\||+10\cdot 78^{13k+7}-37\cdot 78^{12k+6}-20\cdot 78^{11k+6}+468\cdot 78^{10k+5}-82\cdot 78^{9k+5}\\||+853\cdot 78^{8k+4}-93\cdot 78^{7k+4}+663\cdot 78^{6k+3}-51\cdot 78^{5k+3}+254\cdot 78^{4k+2}\\||-13\cdot 78^{3k+2}+39\cdot 78^{2k+1}-78^{k+1}+1)\\|\times|(78^{48k+24}+78^{47k+24}+39\cdot 78^{46k+23}+13\cdot 78^{45k+23}+254\cdot 78^{44k+22}\\||+51\cdot 78^{43k+22}+663\cdot 78^{42k+21}+93\cdot 78^{41k+21}+853\cdot 78^{40k+20}+82\cdot 78^{39k+20}\\||+468\cdot 78^{38k+19}+20\cdot 78^{37k+19}-37\cdot 78^{36k+18}-10\cdot 78^{35k+18}+39\cdot 78^{34k+17}\\||+32\cdot 78^{33k+17}+532\cdot 78^{32k+16}+77\cdot 78^{31k+16}+663\cdot 78^{30k+15}+54\cdot 78^{29k+15}\\||+173\cdot 78^{28k+14}-19\cdot 78^{27k+14}-468\cdot 78^{26k+13}-76\cdot 78^{25k+13}-743\cdot 78^{24k+12}\\||-76\cdot 78^{23k+12}-468\cdot 78^{22k+11}-19\cdot 78^{21k+11}+173\cdot 78^{20k+10}+54\cdot 78^{19k+10}\\||+663\cdot 78^{18k+9}+77\cdot 78^{17k+9}+532\cdot 78^{16k+8}+32\cdot 78^{15k+8}+39\cdot 78^{14k+7}\\||-10\cdot 78^{13k+7}-37\cdot 78^{12k+6}+20\cdot 78^{11k+6}+468\cdot 78^{10k+5}+82\cdot 78^{9k+5}\\||+853\cdot 78^{8k+4}+93\cdot 78^{7k+4}+663\cdot 78^{6k+3}+51\cdot 78^{5k+3}+254\cdot 78^{4k+2}\\||+13\cdot 78^{3k+2}+39\cdot 78^{2k+1}+78^{k+1}+1)\\{\large\Phi}_{158}(79^{2k+1})|=|79^{156k+78}-79^{154k+77}+79^{152k+76}-79^{150k+75}+79^{148k+74}\\||-79^{146k+73}+79^{144k+72}-79^{142k+71}+79^{140k+70}-79^{138k+69}\\||+79^{136k+68}-79^{134k+67}+79^{132k+66}-79^{130k+65}+79^{128k+64}\\||-79^{126k+63}+79^{124k+62}-79^{122k+61}+79^{120k+60}-79^{118k+59}\\||+79^{116k+58}-79^{114k+57}+79^{112k+56}-79^{110k+55}+79^{108k+54}\\||-79^{106k+53}+79^{104k+52}-79^{102k+51}+79^{100k+50}-79^{98k+49}\\||+79^{96k+48}-79^{94k+47}+79^{92k+46}-79^{90k+45}+79^{88k+44}\\||-79^{86k+43}+79^{84k+42}-79^{82k+41}+79^{80k+40}-79^{78k+39}\\||+79^{76k+38}-79^{74k+37}+79^{72k+36}-79^{70k+35}+79^{68k+34}\\||-79^{66k+33}+79^{64k+32}-79^{62k+31}+79^{60k+30}-79^{58k+29}\\||+79^{56k+28}-79^{54k+27}+79^{52k+26}-79^{50k+25}+79^{48k+24}\\||-79^{46k+23}+79^{44k+22}-79^{42k+21}+79^{40k+20}-79^{38k+19}\\||+79^{36k+18}-79^{34k+17}+79^{32k+16}-79^{30k+15}+79^{28k+14}\\||-79^{26k+13}+79^{24k+12}-79^{22k+11}+79^{20k+10}-79^{18k+9}\\||+79^{16k+8}-79^{14k+7}+79^{12k+6}-79^{10k+5}+79^{8k+4}\\||-79^{6k+3}+79^{4k+2}-79^{2k+1}+1\\|=|(79^{78k+39}-79^{77k+39}+39\cdot 79^{76k+38}-13\cdot 79^{75k+38}+267\cdot 79^{74k+37}\\||-59\cdot 79^{73k+37}+923\cdot 79^{72k+36}-169\cdot 79^{71k+36}+2303\cdot 79^{70k+35}-379\cdot 79^{69k+35}\\||+4745\cdot 79^{68k+34}-729\cdot 79^{67k+34}+8613\cdot 79^{66k+33}-1257\cdot 79^{65k+33}+14173\cdot 79^{64k+32}\\||-1983\cdot 79^{63k+32}+21537\cdot 79^{62k+31}-2915\cdot 79^{61k+31}+30733\cdot 79^{60k+30}-4049\cdot 79^{59k+30}\\||+41639\cdot 79^{58k+29}-5359\cdot 79^{57k+29}+53901\cdot 79^{56k+28}-6793\cdot 79^{55k+28}+66993\cdot 79^{54k+27}\\||-8289\cdot 79^{53k+27}+80339\cdot 79^{52k+26}-9777\cdot 79^{51k+26}+93269\cdot 79^{50k+25}-11179\cdot 79^{49k+25}\\||+105099\cdot 79^{48k+24}-12423\cdot 79^{47k+24}+115265\cdot 79^{46k+23}-13455\cdot 79^{45k+23}+123343\cdot 79^{44k+22}\\||-14229\cdot 79^{43k+22}+128931\cdot 79^{42k+21}-14705\cdot 79^{41k+21}+131767\cdot 79^{40k+20}-14865\cdot 79^{39k+20}\\||+131767\cdot 79^{38k+19}-14705\cdot 79^{37k+19}+128931\cdot 79^{36k+18}-14229\cdot 79^{35k+18}+123343\cdot 79^{34k+17}\\||-13455\cdot 79^{33k+17}+115265\cdot 79^{32k+16}-12423\cdot 79^{31k+16}+105099\cdot 79^{30k+15}-11179\cdot 79^{29k+15}\\||+93269\cdot 79^{28k+14}-9777\cdot 79^{27k+14}+80339\cdot 79^{26k+13}-8289\cdot 79^{25k+13}+66993\cdot 79^{24k+12}\\||-6793\cdot 79^{23k+12}+53901\cdot 79^{22k+11}-5359\cdot 79^{21k+11}+41639\cdot 79^{20k+10}-4049\cdot 79^{19k+10}\\||+30733\cdot 79^{18k+9}-2915\cdot 79^{17k+9}+21537\cdot 79^{16k+8}-1983\cdot 79^{15k+8}+14173\cdot 79^{14k+7}\\||-1257\cdot 79^{13k+7}+8613\cdot 79^{12k+6}-729\cdot 79^{11k+6}+4745\cdot 79^{10k+5}-379\cdot 79^{9k+5}\\||+2303\cdot 79^{8k+4}-169\cdot 79^{7k+4}+923\cdot 79^{6k+3}-59\cdot 79^{5k+3}+267\cdot 79^{4k+2}\\||-13\cdot 79^{3k+2}+39\cdot 79^{2k+1}-79^{k+1}+1)\\|\times|(79^{78k+39}+79^{77k+39}+39\cdot 79^{76k+38}+13\cdot 79^{75k+38}+267\cdot 79^{74k+37}\\||+59\cdot 79^{73k+37}+923\cdot 79^{72k+36}+169\cdot 79^{71k+36}+2303\cdot 79^{70k+35}+379\cdot 79^{69k+35}\\||+4745\cdot 79^{68k+34}+729\cdot 79^{67k+34}+8613\cdot 79^{66k+33}+1257\cdot 79^{65k+33}+14173\cdot 79^{64k+32}\\||+1983\cdot 79^{63k+32}+21537\cdot 79^{62k+31}+2915\cdot 79^{61k+31}+30733\cdot 79^{60k+30}+4049\cdot 79^{59k+30}\\||+41639\cdot 79^{58k+29}+5359\cdot 79^{57k+29}+53901\cdot 79^{56k+28}+6793\cdot 79^{55k+28}+66993\cdot 79^{54k+27}\\||+8289\cdot 79^{53k+27}+80339\cdot 79^{52k+26}+9777\cdot 79^{51k+26}+93269\cdot 79^{50k+25}+11179\cdot 79^{49k+25}\\||+105099\cdot 79^{48k+24}+12423\cdot 79^{47k+24}+115265\cdot 79^{46k+23}+13455\cdot 79^{45k+23}+123343\cdot 79^{44k+22}\\||+14229\cdot 79^{43k+22}+128931\cdot 79^{42k+21}+14705\cdot 79^{41k+21}+131767\cdot 79^{40k+20}+14865\cdot 79^{39k+20}\\||+131767\cdot 79^{38k+19}+14705\cdot 79^{37k+19}+128931\cdot 79^{36k+18}+14229\cdot 79^{35k+18}+123343\cdot 79^{34k+17}\\||+13455\cdot 79^{33k+17}+115265\cdot 79^{32k+16}+12423\cdot 79^{31k+16}+105099\cdot 79^{30k+15}+11179\cdot 79^{29k+15}\\||+93269\cdot 79^{28k+14}+9777\cdot 79^{27k+14}+80339\cdot 79^{26k+13}+8289\cdot 79^{25k+13}+66993\cdot 79^{24k+12}\\||+6793\cdot 79^{23k+12}+53901\cdot 79^{22k+11}+5359\cdot 79^{21k+11}+41639\cdot 79^{20k+10}+4049\cdot 79^{19k+10}\\||+30733\cdot 79^{18k+9}+2915\cdot 79^{17k+9}+21537\cdot 79^{16k+8}+1983\cdot 79^{15k+8}+14173\cdot 79^{14k+7}\\||+1257\cdot 79^{13k+7}+8613\cdot 79^{12k+6}+729\cdot 79^{11k+6}+4745\cdot 79^{10k+5}+379\cdot 79^{9k+5}\\||+2303\cdot 79^{8k+4}+169\cdot 79^{7k+4}+923\cdot 79^{6k+3}+59\cdot 79^{5k+3}+267\cdot 79^{4k+2}\\||+13\cdot 79^{3k+2}+39\cdot 79^{2k+1}+79^{k+1}+1)\end{eqnarray}%%
Φ164(822k+1)⋯Φ89(892k+1)Φ164(822k+1)⋯Φ89(892k+1)
%%\begin{eqnarray}{\large\Phi}_{164}(82^{2k+1})|=|82^{160k+80}-82^{156k+78}+82^{152k+76}-82^{148k+74}+82^{144k+72}\\||-82^{140k+70}+82^{136k+68}-82^{132k+66}+82^{128k+64}-82^{124k+62}\\||+82^{120k+60}-82^{116k+58}+82^{112k+56}-82^{108k+54}+82^{104k+52}\\||-82^{100k+50}+82^{96k+48}-82^{92k+46}+82^{88k+44}-82^{84k+42}\\||+82^{80k+40}-82^{76k+38}+82^{72k+36}-82^{68k+34}+82^{64k+32}\\||-82^{60k+30}+82^{56k+28}-82^{52k+26}+82^{48k+24}-82^{44k+22}\\||+82^{40k+20}-82^{36k+18}+82^{32k+16}-82^{28k+14}+82^{24k+12}\\||-82^{20k+10}+82^{16k+8}-82^{12k+6}+82^{8k+4}-82^{4k+2}+1\\|=|(82^{80k+40}-82^{79k+40}+41\cdot 82^{78k+39}-14\cdot 82^{77k+39}+307\cdot 82^{76k+38}\\||-69\cdot 82^{75k+38}+1107\cdot 82^{74k+37}-192\cdot 82^{73k+37}+2445\cdot 82^{72k+36}-341\cdot 82^{71k+36}\\||+3485\cdot 82^{70k+35}-382\cdot 82^{69k+35}+2903\cdot 82^{68k+34}-203\cdot 82^{67k+34}+451\cdot 82^{66k+33}\\||+102\cdot 82^{65k+33}-1879\cdot 82^{64k+32}+227\cdot 82^{63k+32}-1271\cdot 82^{62k+31}-42\cdot 82^{61k+31}\\||+2507\cdot 82^{60k+30}-497\cdot 82^{59k+30}+5699\cdot 82^{58k+29}-618\cdot 82^{57k+29}+4033\cdot 82^{56k+28}\\||-143\cdot 82^{55k+28}-1927\cdot 82^{54k+27}+520\cdot 82^{53k+27}-6161\cdot 82^{52k+26}+631\cdot 82^{51k+26}\\||-3321\cdot 82^{50k+25}-54\cdot 82^{49k+25}+4733\cdot 82^{48k+24}-911\cdot 82^{47k+24}+10045\cdot 82^{46k+23}\\||-1060\cdot 82^{45k+23}+7035\cdot 82^{44k+22}-343\cdot 82^{43k+22}-1025\cdot 82^{42k+21}+456\cdot 82^{41k+21}\\||-5279\cdot 82^{40k+20}+456\cdot 82^{39k+20}-1025\cdot 82^{38k+19}-343\cdot 82^{37k+19}+7035\cdot 82^{36k+18}\\||-1060\cdot 82^{35k+18}+10045\cdot 82^{34k+17}-911\cdot 82^{33k+17}+4733\cdot 82^{32k+16}-54\cdot 82^{31k+16}\\||-3321\cdot 82^{30k+15}+631\cdot 82^{29k+15}-6161\cdot 82^{28k+14}+520\cdot 82^{27k+14}-1927\cdot 82^{26k+13}\\||-143\cdot 82^{25k+13}+4033\cdot 82^{24k+12}-618\cdot 82^{23k+12}+5699\cdot 82^{22k+11}-497\cdot 82^{21k+11}\\||+2507\cdot 82^{20k+10}-42\cdot 82^{19k+10}-1271\cdot 82^{18k+9}+227\cdot 82^{17k+9}-1879\cdot 82^{16k+8}\\||+102\cdot 82^{15k+8}+451\cdot 82^{14k+7}-203\cdot 82^{13k+7}+2903\cdot 82^{12k+6}-382\cdot 82^{11k+6}\\||+3485\cdot 82^{10k+5}-341\cdot 82^{9k+5}+2445\cdot 82^{8k+4}-192\cdot 82^{7k+4}+1107\cdot 82^{6k+3}\\||-69\cdot 82^{5k+3}+307\cdot 82^{4k+2}-14\cdot 82^{3k+2}+41\cdot 82^{2k+1}-82^{k+1}+1)\\|\times|(82^{80k+40}+82^{79k+40}+41\cdot 82^{78k+39}+14\cdot 82^{77k+39}+307\cdot 82^{76k+38}\\||+69\cdot 82^{75k+38}+1107\cdot 82^{74k+37}+192\cdot 82^{73k+37}+2445\cdot 82^{72k+36}+341\cdot 82^{71k+36}\\||+3485\cdot 82^{70k+35}+382\cdot 82^{69k+35}+2903\cdot 82^{68k+34}+203\cdot 82^{67k+34}+451\cdot 82^{66k+33}\\||-102\cdot 82^{65k+33}-1879\cdot 82^{64k+32}-227\cdot 82^{63k+32}-1271\cdot 82^{62k+31}+42\cdot 82^{61k+31}\\||+2507\cdot 82^{60k+30}+497\cdot 82^{59k+30}+5699\cdot 82^{58k+29}+618\cdot 82^{57k+29}+4033\cdot 82^{56k+28}\\||+143\cdot 82^{55k+28}-1927\cdot 82^{54k+27}-520\cdot 82^{53k+27}-6161\cdot 82^{52k+26}-631\cdot 82^{51k+26}\\||-3321\cdot 82^{50k+25}+54\cdot 82^{49k+25}+4733\cdot 82^{48k+24}+911\cdot 82^{47k+24}+10045\cdot 82^{46k+23}\\||+1060\cdot 82^{45k+23}+7035\cdot 82^{44k+22}+343\cdot 82^{43k+22}-1025\cdot 82^{42k+21}-456\cdot 82^{41k+21}\\||-5279\cdot 82^{40k+20}-456\cdot 82^{39k+20}-1025\cdot 82^{38k+19}+343\cdot 82^{37k+19}+7035\cdot 82^{36k+18}\\||+1060\cdot 82^{35k+18}+10045\cdot 82^{34k+17}+911\cdot 82^{33k+17}+4733\cdot 82^{32k+16}+54\cdot 82^{31k+16}\\||-3321\cdot 82^{30k+15}-631\cdot 82^{29k+15}-6161\cdot 82^{28k+14}-520\cdot 82^{27k+14}-1927\cdot 82^{26k+13}\\||+143\cdot 82^{25k+13}+4033\cdot 82^{24k+12}+618\cdot 82^{23k+12}+5699\cdot 82^{22k+11}+497\cdot 82^{21k+11}\\||+2507\cdot 82^{20k+10}+42\cdot 82^{19k+10}-1271\cdot 82^{18k+9}-227\cdot 82^{17k+9}-1879\cdot 82^{16k+8}\\||-102\cdot 82^{15k+8}+451\cdot 82^{14k+7}+203\cdot 82^{13k+7}+2903\cdot 82^{12k+6}+382\cdot 82^{11k+6}\\||+3485\cdot 82^{10k+5}+341\cdot 82^{9k+5}+2445\cdot 82^{8k+4}+192\cdot 82^{7k+4}+1107\cdot 82^{6k+3}\\||+69\cdot 82^{5k+3}+307\cdot 82^{4k+2}+14\cdot 82^{3k+2}+41\cdot 82^{2k+1}+82^{k+1}+1)\\{\large\Phi}_{166}(83^{2k+1})|=|83^{164k+82}-83^{162k+81}+83^{160k+80}-83^{158k+79}+83^{156k+78}\\||-83^{154k+77}+83^{152k+76}-83^{150k+75}+83^{148k+74}-83^{146k+73}\\||+83^{144k+72}-83^{142k+71}+83^{140k+70}-83^{138k+69}+83^{136k+68}\\||-83^{134k+67}+83^{132k+66}-83^{130k+65}+83^{128k+64}-83^{126k+63}\\||+83^{124k+62}-83^{122k+61}+83^{120k+60}-83^{118k+59}+83^{116k+58}\\||-83^{114k+57}+83^{112k+56}-83^{110k+55}+83^{108k+54}-83^{106k+53}\\||+83^{104k+52}-83^{102k+51}+83^{100k+50}-83^{98k+49}+83^{96k+48}\\||-83^{94k+47}+83^{92k+46}-83^{90k+45}+83^{88k+44}-83^{86k+43}\\||+83^{84k+42}-83^{82k+41}+83^{80k+40}-83^{78k+39}+83^{76k+38}\\||-83^{74k+37}+83^{72k+36}-83^{70k+35}+83^{68k+34}-83^{66k+33}\\||+83^{64k+32}-83^{62k+31}+83^{60k+30}-83^{58k+29}+83^{56k+28}\\||-83^{54k+27}+83^{52k+26}-83^{50k+25}+83^{48k+24}-83^{46k+23}\\||+83^{44k+22}-83^{42k+21}+83^{40k+20}-83^{38k+19}+83^{36k+18}\\||-83^{34k+17}+83^{32k+16}-83^{30k+15}+83^{28k+14}-83^{26k+13}\\||+83^{24k+12}-83^{22k+11}+83^{20k+10}-83^{18k+9}+83^{16k+8}\\||-83^{14k+7}+83^{12k+6}-83^{10k+5}+83^{8k+4}-83^{6k+3}\\||+83^{4k+2}-83^{2k+1}+1\\|=|(83^{82k+41}-83^{81k+41}+41\cdot 83^{80k+40}-13\cdot 83^{79k+40}+239\cdot 83^{78k+39}\\||-37\cdot 83^{77k+39}+285\cdot 83^{76k+38}+3\cdot 83^{75k+38}-571\cdot 83^{74k+37}+123\cdot 83^{73k+37}\\||-1337\cdot 83^{72k+36}+105\cdot 83^{71k+36}+29\cdot 83^{70k+35}-143\cdot 83^{69k+35}+2303\cdot 83^{68k+34}\\||-269\cdot 83^{67k+34}+1467\cdot 83^{66k+33}+41\cdot 83^{65k+33}-2257\cdot 83^{64k+32}+351\cdot 83^{63k+32}\\||-2591\cdot 83^{62k+31}+67\cdot 83^{61k+31}+1813\cdot 83^{60k+30}-377\cdot 83^{59k+30}+3329\cdot 83^{58k+29}\\||-153\cdot 83^{57k+29}-1525\cdot 83^{56k+28}+437\cdot 83^{55k+28}-4627\cdot 83^{54k+27}+323\cdot 83^{53k+27}\\||+403\cdot 83^{52k+26}-419\cdot 83^{51k+26}+5583\cdot 83^{50k+25}-523\cdot 83^{49k+25}+1707\cdot 83^{48k+24}\\||+235\cdot 83^{47k+24}-4945\cdot 83^{46k+23}+589\cdot 83^{45k+23}-3199\cdot 83^{44k+22}-55\cdot 83^{43k+22}\\||+3893\cdot 83^{42k+21}-577\cdot 83^{41k+21}+3893\cdot 83^{40k+20}-55\cdot 83^{39k+20}-3199\cdot 83^{38k+19}\\||+589\cdot 83^{37k+19}-4945\cdot 83^{36k+18}+235\cdot 83^{35k+18}+1707\cdot 83^{34k+17}-523\cdot 83^{33k+17}\\||+5583\cdot 83^{32k+16}-419\cdot 83^{31k+16}+403\cdot 83^{30k+15}+323\cdot 83^{29k+15}-4627\cdot 83^{28k+14}\\||+437\cdot 83^{27k+14}-1525\cdot 83^{26k+13}-153\cdot 83^{25k+13}+3329\cdot 83^{24k+12}-377\cdot 83^{23k+12}\\||+1813\cdot 83^{22k+11}+67\cdot 83^{21k+11}-2591\cdot 83^{20k+10}+351\cdot 83^{19k+10}-2257\cdot 83^{18k+9}\\||+41\cdot 83^{17k+9}+1467\cdot 83^{16k+8}-269\cdot 83^{15k+8}+2303\cdot 83^{14k+7}-143\cdot 83^{13k+7}\\||+29\cdot 83^{12k+6}+105\cdot 83^{11k+6}-1337\cdot 83^{10k+5}+123\cdot 83^{9k+5}-571\cdot 83^{8k+4}\\||+3\cdot 83^{7k+4}+285\cdot 83^{6k+3}-37\cdot 83^{5k+3}+239\cdot 83^{4k+2}-13\cdot 83^{3k+2}\\||+41\cdot 83^{2k+1}-83^{k+1}+1)\\|\times|(83^{82k+41}+83^{81k+41}+41\cdot 83^{80k+40}+13\cdot 83^{79k+40}+239\cdot 83^{78k+39}\\||+37\cdot 83^{77k+39}+285\cdot 83^{76k+38}-3\cdot 83^{75k+38}-571\cdot 83^{74k+37}-123\cdot 83^{73k+37}\\||-1337\cdot 83^{72k+36}-105\cdot 83^{71k+36}+29\cdot 83^{70k+35}+143\cdot 83^{69k+35}+2303\cdot 83^{68k+34}\\||+269\cdot 83^{67k+34}+1467\cdot 83^{66k+33}-41\cdot 83^{65k+33}-2257\cdot 83^{64k+32}-351\cdot 83^{63k+32}\\||-2591\cdot 83^{62k+31}-67\cdot 83^{61k+31}+1813\cdot 83^{60k+30}+377\cdot 83^{59k+30}+3329\cdot 83^{58k+29}\\||+153\cdot 83^{57k+29}-1525\cdot 83^{56k+28}-437\cdot 83^{55k+28}-4627\cdot 83^{54k+27}-323\cdot 83^{53k+27}\\||+403\cdot 83^{52k+26}+419\cdot 83^{51k+26}+5583\cdot 83^{50k+25}+523\cdot 83^{49k+25}+1707\cdot 83^{48k+24}\\||-235\cdot 83^{47k+24}-4945\cdot 83^{46k+23}-589\cdot 83^{45k+23}-3199\cdot 83^{44k+22}+55\cdot 83^{43k+22}\\||+3893\cdot 83^{42k+21}+577\cdot 83^{41k+21}+3893\cdot 83^{40k+20}+55\cdot 83^{39k+20}-3199\cdot 83^{38k+19}\\||-589\cdot 83^{37k+19}-4945\cdot 83^{36k+18}-235\cdot 83^{35k+18}+1707\cdot 83^{34k+17}+523\cdot 83^{33k+17}\\||+5583\cdot 83^{32k+16}+419\cdot 83^{31k+16}+403\cdot 83^{30k+15}-323\cdot 83^{29k+15}-4627\cdot 83^{28k+14}\\||-437\cdot 83^{27k+14}-1525\cdot 83^{26k+13}+153\cdot 83^{25k+13}+3329\cdot 83^{24k+12}+377\cdot 83^{23k+12}\\||+1813\cdot 83^{22k+11}-67\cdot 83^{21k+11}-2591\cdot 83^{20k+10}-351\cdot 83^{19k+10}-2257\cdot 83^{18k+9}\\||-41\cdot 83^{17k+9}+1467\cdot 83^{16k+8}+269\cdot 83^{15k+8}+2303\cdot 83^{14k+7}+143\cdot 83^{13k+7}\\||+29\cdot 83^{12k+6}-105\cdot 83^{11k+6}-1337\cdot 83^{10k+5}-123\cdot 83^{9k+5}-571\cdot 83^{8k+4}\\||-3\cdot 83^{7k+4}+285\cdot 83^{6k+3}+37\cdot 83^{5k+3}+239\cdot 83^{4k+2}+13\cdot 83^{3k+2}\\||+41\cdot 83^{2k+1}+83^{k+1}+1)\\{\large\Phi}_{85}(85^{2k+1})|=|85^{128k+64}-85^{126k+63}+85^{118k+59}-85^{116k+58}+85^{108k+54}\\||-85^{106k+53}+85^{98k+49}-85^{96k+48}+85^{94k+47}-85^{92k+46}\\||+85^{88k+44}-85^{86k+43}+85^{84k+42}-85^{82k+41}+85^{78k+39}\\||-85^{76k+38}+85^{74k+37}-85^{72k+36}+85^{68k+34}-85^{66k+33}\\||+85^{64k+32}-85^{62k+31}+85^{60k+30}-85^{56k+28}+85^{54k+27}\\||-85^{52k+26}+85^{50k+25}-85^{46k+23}+85^{44k+22}-85^{42k+21}\\||+85^{40k+20}-85^{36k+18}+85^{34k+17}-85^{32k+16}+85^{30k+15}\\||-85^{22k+11}+85^{20k+10}-85^{12k+6}+85^{10k+5}-85^{2k+1}+1\\|=|(85^{64k+32}-85^{63k+32}+42\cdot 85^{62k+31}-14\cdot 85^{61k+31}+308\cdot 85^{60k+30}\\||-67\cdot 85^{59k+30}+1089\cdot 85^{58k+29}-188\cdot 85^{57k+29}+2540\cdot 85^{56k+28}-378\cdot 85^{55k+28}\\||+4541\cdot 85^{54k+27}-617\cdot 85^{53k+27}+6922\cdot 85^{52k+26}-894\cdot 85^{51k+26}+9638\cdot 85^{50k+25}\\||-1201\cdot 85^{49k+25}+12479\cdot 85^{48k+24}-1493\cdot 85^{47k+24}+14835\cdot 85^{46k+23}-1694\cdot 85^{45k+23}\\||+16081\cdot 85^{44k+22}-1761\cdot 85^{43k+22}+16127\cdot 85^{42k+21}-1715\cdot 85^{41k+21}+15338\cdot 85^{40k+20}\\||-1599\cdot 85^{39k+20}+14049\cdot 85^{38k+19}-1441\cdot 85^{37k+19}+12495\cdot 85^{36k+18}-1274\cdot 85^{35k+18}\\||+11121\cdot 85^{34k+17}-1161\cdot 85^{33k+17}+10557\cdot 85^{32k+16}-1161\cdot 85^{31k+16}+11121\cdot 85^{30k+15}\\||-1274\cdot 85^{29k+15}+12495\cdot 85^{28k+14}-1441\cdot 85^{27k+14}+14049\cdot 85^{26k+13}-1599\cdot 85^{25k+13}\\||+15338\cdot 85^{24k+12}-1715\cdot 85^{23k+12}+16127\cdot 85^{22k+11}-1761\cdot 85^{21k+11}+16081\cdot 85^{20k+10}\\||-1694\cdot 85^{19k+10}+14835\cdot 85^{18k+9}-1493\cdot 85^{17k+9}+12479\cdot 85^{16k+8}-1201\cdot 85^{15k+8}\\||+9638\cdot 85^{14k+7}-894\cdot 85^{13k+7}+6922\cdot 85^{12k+6}-617\cdot 85^{11k+6}+4541\cdot 85^{10k+5}\\||-378\cdot 85^{9k+5}+2540\cdot 85^{8k+4}-188\cdot 85^{7k+4}+1089\cdot 85^{6k+3}-67\cdot 85^{5k+3}\\||+308\cdot 85^{4k+2}-14\cdot 85^{3k+2}+42\cdot 85^{2k+1}-85^{k+1}+1)\\|\times|(85^{64k+32}+85^{63k+32}+42\cdot 85^{62k+31}+14\cdot 85^{61k+31}+308\cdot 85^{60k+30}\\||+67\cdot 85^{59k+30}+1089\cdot 85^{58k+29}+188\cdot 85^{57k+29}+2540\cdot 85^{56k+28}+378\cdot 85^{55k+28}\\||+4541\cdot 85^{54k+27}+617\cdot 85^{53k+27}+6922\cdot 85^{52k+26}+894\cdot 85^{51k+26}+9638\cdot 85^{50k+25}\\||+1201\cdot 85^{49k+25}+12479\cdot 85^{48k+24}+1493\cdot 85^{47k+24}+14835\cdot 85^{46k+23}+1694\cdot 85^{45k+23}\\||+16081\cdot 85^{44k+22}+1761\cdot 85^{43k+22}+16127\cdot 85^{42k+21}+1715\cdot 85^{41k+21}+15338\cdot 85^{40k+20}\\||+1599\cdot 85^{39k+20}+14049\cdot 85^{38k+19}+1441\cdot 85^{37k+19}+12495\cdot 85^{36k+18}+1274\cdot 85^{35k+18}\\||+11121\cdot 85^{34k+17}+1161\cdot 85^{33k+17}+10557\cdot 85^{32k+16}+1161\cdot 85^{31k+16}+11121\cdot 85^{30k+15}\\||+1274\cdot 85^{29k+15}+12495\cdot 85^{28k+14}+1441\cdot 85^{27k+14}+14049\cdot 85^{26k+13}+1599\cdot 85^{25k+13}\\||+15338\cdot 85^{24k+12}+1715\cdot 85^{23k+12}+16127\cdot 85^{22k+11}+1761\cdot 85^{21k+11}+16081\cdot 85^{20k+10}\\||+1694\cdot 85^{19k+10}+14835\cdot 85^{18k+9}+1493\cdot 85^{17k+9}+12479\cdot 85^{16k+8}+1201\cdot 85^{15k+8}\\||+9638\cdot 85^{14k+7}+894\cdot 85^{13k+7}+6922\cdot 85^{12k+6}+617\cdot 85^{11k+6}+4541\cdot 85^{10k+5}\\||+378\cdot 85^{9k+5}+2540\cdot 85^{8k+4}+188\cdot 85^{7k+4}+1089\cdot 85^{6k+3}+67\cdot 85^{5k+3}\\||+308\cdot 85^{4k+2}+14\cdot 85^{3k+2}+42\cdot 85^{2k+1}+85^{k+1}+1)\\{\large\Phi}_{172}(86^{2k+1})|=|86^{168k+84}-86^{164k+82}+86^{160k+80}-86^{156k+78}+86^{152k+76}\\||-86^{148k+74}+86^{144k+72}-86^{140k+70}+86^{136k+68}-86^{132k+66}\\||+86^{128k+64}-86^{124k+62}+86^{120k+60}-86^{116k+58}+86^{112k+56}\\||-86^{108k+54}+86^{104k+52}-86^{100k+50}+86^{96k+48}-86^{92k+46}\\||+86^{88k+44}-86^{84k+42}+86^{80k+40}-86^{76k+38}+86^{72k+36}\\||-86^{68k+34}+86^{64k+32}-86^{60k+30}+86^{56k+28}-86^{52k+26}\\||+86^{48k+24}-86^{44k+22}+86^{40k+20}-86^{36k+18}+86^{32k+16}\\||-86^{28k+14}+86^{24k+12}-86^{20k+10}+86^{16k+8}-86^{12k+6}\\||+86^{8k+4}-86^{4k+2}+1\\|=|(86^{84k+42}-86^{83k+42}+43\cdot 86^{82k+41}-14\cdot 86^{81k+41}+279\cdot 86^{80k+40}\\||-47\cdot 86^{79k+40}+473\cdot 86^{78k+39}-30\cdot 86^{77k+39}-91\cdot 86^{76k+38}+37\cdot 86^{75k+38}\\||-129\cdot 86^{74k+37}-66\cdot 86^{73k+37}+1459\cdot 86^{72k+36}-189\cdot 86^{71k+36}+1161\cdot 86^{70k+35}\\||-6\cdot 86^{69k+35}-723\cdot 86^{68k+34}+61\cdot 86^{67k+34}+387\cdot 86^{66k+33}-152\cdot 86^{65k+33}\\||+1859\cdot 86^{64k+32}-179\cdot 86^{63k+32}+1161\cdot 86^{62k+31}-68\cdot 86^{61k+31}+41\cdot 86^{60k+30}\\||+67\cdot 86^{59k+30}-989\cdot 86^{58k+29}+54\cdot 86^{57k+29}+911\cdot 86^{56k+28}-259\cdot 86^{55k+28}\\||+2709\cdot 86^{54k+27}-136\cdot 86^{53k+27}-1147\cdot 86^{52k+26}+309\cdot 86^{51k+26}-2709\cdot 86^{50k+25}\\||+98\cdot 86^{49k+25}+1143\cdot 86^{48k+24}-223\cdot 86^{47k+24}+1505\cdot 86^{46k+23}-14\cdot 86^{45k+23}\\||-1131\cdot 86^{44k+22}+197\cdot 86^{43k+22}-2021\cdot 86^{42k+21}+197\cdot 86^{41k+21}-1131\cdot 86^{40k+20}\\||-14\cdot 86^{39k+20}+1505\cdot 86^{38k+19}-223\cdot 86^{37k+19}+1143\cdot 86^{36k+18}+98\cdot 86^{35k+18}\\||-2709\cdot 86^{34k+17}+309\cdot 86^{33k+17}-1147\cdot 86^{32k+16}-136\cdot 86^{31k+16}+2709\cdot 86^{30k+15}\\||-259\cdot 86^{29k+15}+911\cdot 86^{28k+14}+54\cdot 86^{27k+14}-989\cdot 86^{26k+13}+67\cdot 86^{25k+13}\\||+41\cdot 86^{24k+12}-68\cdot 86^{23k+12}+1161\cdot 86^{22k+11}-179\cdot 86^{21k+11}+1859\cdot 86^{20k+10}\\||-152\cdot 86^{19k+10}+387\cdot 86^{18k+9}+61\cdot 86^{17k+9}-723\cdot 86^{16k+8}-6\cdot 86^{15k+8}\\||+1161\cdot 86^{14k+7}-189\cdot 86^{13k+7}+1459\cdot 86^{12k+6}-66\cdot 86^{11k+6}-129\cdot 86^{10k+5}\\||+37\cdot 86^{9k+5}-91\cdot 86^{8k+4}-30\cdot 86^{7k+4}+473\cdot 86^{6k+3}-47\cdot 86^{5k+3}\\||+279\cdot 86^{4k+2}-14\cdot 86^{3k+2}+43\cdot 86^{2k+1}-86^{k+1}+1)\\|\times|(86^{84k+42}+86^{83k+42}+43\cdot 86^{82k+41}+14\cdot 86^{81k+41}+279\cdot 86^{80k+40}\\||+47\cdot 86^{79k+40}+473\cdot 86^{78k+39}+30\cdot 86^{77k+39}-91\cdot 86^{76k+38}-37\cdot 86^{75k+38}\\||-129\cdot 86^{74k+37}+66\cdot 86^{73k+37}+1459\cdot 86^{72k+36}+189\cdot 86^{71k+36}+1161\cdot 86^{70k+35}\\||+6\cdot 86^{69k+35}-723\cdot 86^{68k+34}-61\cdot 86^{67k+34}+387\cdot 86^{66k+33}+152\cdot 86^{65k+33}\\||+1859\cdot 86^{64k+32}+179\cdot 86^{63k+32}+1161\cdot 86^{62k+31}+68\cdot 86^{61k+31}+41\cdot 86^{60k+30}\\||-67\cdot 86^{59k+30}-989\cdot 86^{58k+29}-54\cdot 86^{57k+29}+911\cdot 86^{56k+28}+259\cdot 86^{55k+28}\\||+2709\cdot 86^{54k+27}+136\cdot 86^{53k+27}-1147\cdot 86^{52k+26}-309\cdot 86^{51k+26}-2709\cdot 86^{50k+25}\\||-98\cdot 86^{49k+25}+1143\cdot 86^{48k+24}+223\cdot 86^{47k+24}+1505\cdot 86^{46k+23}+14\cdot 86^{45k+23}\\||-1131\cdot 86^{44k+22}-197\cdot 86^{43k+22}-2021\cdot 86^{42k+21}-197\cdot 86^{41k+21}-1131\cdot 86^{40k+20}\\||+14\cdot 86^{39k+20}+1505\cdot 86^{38k+19}+223\cdot 86^{37k+19}+1143\cdot 86^{36k+18}-98\cdot 86^{35k+18}\\||-2709\cdot 86^{34k+17}-309\cdot 86^{33k+17}-1147\cdot 86^{32k+16}+136\cdot 86^{31k+16}+2709\cdot 86^{30k+15}\\||+259\cdot 86^{29k+15}+911\cdot 86^{28k+14}-54\cdot 86^{27k+14}-989\cdot 86^{26k+13}-67\cdot 86^{25k+13}\\||+41\cdot 86^{24k+12}+68\cdot 86^{23k+12}+1161\cdot 86^{22k+11}+179\cdot 86^{21k+11}+1859\cdot 86^{20k+10}\\||+152\cdot 86^{19k+10}+387\cdot 86^{18k+9}-61\cdot 86^{17k+9}-723\cdot 86^{16k+8}+6\cdot 86^{15k+8}\\||+1161\cdot 86^{14k+7}+189\cdot 86^{13k+7}+1459\cdot 86^{12k+6}+66\cdot 86^{11k+6}-129\cdot 86^{10k+5}\\||-37\cdot 86^{9k+5}-91\cdot 86^{8k+4}+30\cdot 86^{7k+4}+473\cdot 86^{6k+3}+47\cdot 86^{5k+3}\\||+279\cdot 86^{4k+2}+14\cdot 86^{3k+2}+43\cdot 86^{2k+1}+86^{k+1}+1)\\{\large\Phi}_{174}(87^{2k+1})|=|87^{112k+56}+87^{110k+55}-87^{106k+53}-87^{104k+52}+87^{100k+50}\\||+87^{98k+49}-87^{94k+47}-87^{92k+46}+87^{88k+44}+87^{86k+43}\\||-87^{82k+41}-87^{80k+40}+87^{76k+38}+87^{74k+37}-87^{70k+35}\\||-87^{68k+34}+87^{64k+32}+87^{62k+31}-87^{58k+29}-87^{56k+28}\\||-87^{54k+27}+87^{50k+25}+87^{48k+24}-87^{44k+22}-87^{42k+21}\\||+87^{38k+19}+87^{36k+18}-87^{32k+16}-87^{30k+15}+87^{26k+13}\\||+87^{24k+12}-87^{20k+10}-87^{18k+9}+87^{14k+7}+87^{12k+6}\\||-87^{8k+4}-87^{6k+3}+87^{2k+1}+1\\|=|(87^{56k+28}-87^{55k+28}+44\cdot 87^{54k+27}-15\cdot 87^{53k+27}+337\cdot 87^{52k+26}\\||-70\cdot 87^{51k+26}+1049\cdot 87^{50k+25}-151\cdot 87^{49k+25}+1546\cdot 87^{48k+24}-135\cdot 87^{47k+24}\\||+413\cdot 87^{46k+23}+104\cdot 87^{45k+23}-2657\cdot 87^{44k+22}+453\cdot 87^{43k+22}-5164\cdot 87^{42k+21}\\||+539\cdot 87^{41k+21}-3593\cdot 87^{40k+20}+104\cdot 87^{39k+20}+2381\cdot 87^{38k+19}-615\cdot 87^{37k+19}\\||+8284\cdot 87^{36k+18}-1001\cdot 87^{35k+18}+8519\cdot 87^{34k+17}-630\cdot 87^{33k+17}+1879\cdot 87^{32k+16}\\||+287\cdot 87^{31k+16}-6850\cdot 87^{30k+15}+1047\cdot 87^{29k+15}-10811\cdot 87^{28k+14}+1047\cdot 87^{27k+14}\\||-6850\cdot 87^{26k+13}+287\cdot 87^{25k+13}+1879\cdot 87^{24k+12}-630\cdot 87^{23k+12}+8519\cdot 87^{22k+11}\\||-1001\cdot 87^{21k+11}+8284\cdot 87^{20k+10}-615\cdot 87^{19k+10}+2381\cdot 87^{18k+9}+104\cdot 87^{17k+9}\\||-3593\cdot 87^{16k+8}+539\cdot 87^{15k+8}-5164\cdot 87^{14k+7}+453\cdot 87^{13k+7}-2657\cdot 87^{12k+6}\\||+104\cdot 87^{11k+6}+413\cdot 87^{10k+5}-135\cdot 87^{9k+5}+1546\cdot 87^{8k+4}-151\cdot 87^{7k+4}\\||+1049\cdot 87^{6k+3}-70\cdot 87^{5k+3}+337\cdot 87^{4k+2}-15\cdot 87^{3k+2}+44\cdot 87^{2k+1}\\||-87^{k+1}+1)\\|\times|(87^{56k+28}+87^{55k+28}+44\cdot 87^{54k+27}+15\cdot 87^{53k+27}+337\cdot 87^{52k+26}\\||+70\cdot 87^{51k+26}+1049\cdot 87^{50k+25}+151\cdot 87^{49k+25}+1546\cdot 87^{48k+24}+135\cdot 87^{47k+24}\\||+413\cdot 87^{46k+23}-104\cdot 87^{45k+23}-2657\cdot 87^{44k+22}-453\cdot 87^{43k+22}-5164\cdot 87^{42k+21}\\||-539\cdot 87^{41k+21}-3593\cdot 87^{40k+20}-104\cdot 87^{39k+20}+2381\cdot 87^{38k+19}+615\cdot 87^{37k+19}\\||+8284\cdot 87^{36k+18}+1001\cdot 87^{35k+18}+8519\cdot 87^{34k+17}+630\cdot 87^{33k+17}+1879\cdot 87^{32k+16}\\||-287\cdot 87^{31k+16}-6850\cdot 87^{30k+15}-1047\cdot 87^{29k+15}-10811\cdot 87^{28k+14}-1047\cdot 87^{27k+14}\\||-6850\cdot 87^{26k+13}-287\cdot 87^{25k+13}+1879\cdot 87^{24k+12}+630\cdot 87^{23k+12}+8519\cdot 87^{22k+11}\\||+1001\cdot 87^{21k+11}+8284\cdot 87^{20k+10}+615\cdot 87^{19k+10}+2381\cdot 87^{18k+9}-104\cdot 87^{17k+9}\\||-3593\cdot 87^{16k+8}-539\cdot 87^{15k+8}-5164\cdot 87^{14k+7}-453\cdot 87^{13k+7}-2657\cdot 87^{12k+6}\\||-104\cdot 87^{11k+6}+413\cdot 87^{10k+5}+135\cdot 87^{9k+5}+1546\cdot 87^{8k+4}+151\cdot 87^{7k+4}\\||+1049\cdot 87^{6k+3}+70\cdot 87^{5k+3}+337\cdot 87^{4k+2}+15\cdot 87^{3k+2}+44\cdot 87^{2k+1}\\||+87^{k+1}+1)\\{\large\Phi}_{89}(89^{2k+1})|=|89^{176k+88}+89^{174k+87}+89^{172k+86}+89^{170k+85}+89^{168k+84}\\||+89^{166k+83}+89^{164k+82}+89^{162k+81}+89^{160k+80}+89^{158k+79}\\||+89^{156k+78}+89^{154k+77}+89^{152k+76}+89^{150k+75}+89^{148k+74}\\||+89^{146k+73}+89^{144k+72}+89^{142k+71}+89^{140k+70}+89^{138k+69}\\||+89^{136k+68}+89^{134k+67}+89^{132k+66}+89^{130k+65}+89^{128k+64}\\||+89^{126k+63}+89^{124k+62}+89^{122k+61}+89^{120k+60}+89^{118k+59}\\||+89^{116k+58}+89^{114k+57}+89^{112k+56}+89^{110k+55}+89^{108k+54}\\||+89^{106k+53}+89^{104k+52}+89^{102k+51}+89^{100k+50}+89^{98k+49}\\||+89^{96k+48}+89^{94k+47}+89^{92k+46}+89^{90k+45}+89^{88k+44}\\||+89^{86k+43}+89^{84k+42}+89^{82k+41}+89^{80k+40}+89^{78k+39}\\||+89^{76k+38}+89^{74k+37}+89^{72k+36}+89^{70k+35}+89^{68k+34}\\||+89^{66k+33}+89^{64k+32}+89^{62k+31}+89^{60k+30}+89^{58k+29}\\||+89^{56k+28}+89^{54k+27}+89^{52k+26}+89^{50k+25}+89^{48k+24}\\||+89^{46k+23}+89^{44k+22}+89^{42k+21}+89^{40k+20}+89^{38k+19}\\||+89^{36k+18}+89^{34k+17}+89^{32k+16}+89^{30k+15}+89^{28k+14}\\||+89^{26k+13}+89^{24k+12}+89^{22k+11}+89^{20k+10}+89^{18k+9}\\||+89^{16k+8}+89^{14k+7}+89^{12k+6}+89^{10k+5}+89^{8k+4}\\||+89^{6k+3}+89^{4k+2}+89^{2k+1}+1\\|=|(89^{88k+44}-89^{87k+44}+45\cdot 89^{86k+43}-15\cdot 89^{85k+43}+323\cdot 89^{84k+42}\\||-59\cdot 89^{83k+42}+729\cdot 89^{82k+41}-75\cdot 89^{81k+41}+471\cdot 89^{80k+40}-19\cdot 89^{79k+40}\\||+59\cdot 89^{78k+39}-19\cdot 89^{77k+39}+373\cdot 89^{76k+38}-47\cdot 89^{75k+38}+429\cdot 89^{74k+37}\\||-59\cdot 89^{73k+37}+875\cdot 89^{72k+36}-111\cdot 89^{71k+36}+683\cdot 89^{70k+35}+11\cdot 89^{69k+35}\\||-655\cdot 89^{68k+34}+47\cdot 89^{67k+34}+285\cdot 89^{66k+33}-79\cdot 89^{65k+33}+529\cdot 89^{64k+32}\\||-9\cdot 89^{63k+32}+115\cdot 89^{62k+31}-65\cdot 89^{61k+31}+807\cdot 89^{60k+30}-17\cdot 89^{59k+30}\\||-813\cdot 89^{58k+29}+111\cdot 89^{57k+29}-223\cdot 89^{56k+28}-79\cdot 89^{55k+28}+739\cdot 89^{54k+27}\\||+23\cdot 89^{53k+27}-975\cdot 89^{52k+26}+73\cdot 89^{51k+26}+121\cdot 89^{50k+25}-25\cdot 89^{49k+25}\\||-663\cdot 89^{48k+24}+161\cdot 89^{47k+24}-1213\cdot 89^{46k+23}+3\cdot 89^{45k+23}+633\cdot 89^{44k+22}\\||+3\cdot 89^{43k+22}-1213\cdot 89^{42k+21}+161\cdot 89^{41k+21}-663\cdot 89^{40k+20}-25\cdot 89^{39k+20}\\||+121\cdot 89^{38k+19}+73\cdot 89^{37k+19}-975\cdot 89^{36k+18}+23\cdot 89^{35k+18}+739\cdot 89^{34k+17}\\||-79\cdot 89^{33k+17}-223\cdot 89^{32k+16}+111\cdot 89^{31k+16}-813\cdot 89^{30k+15}-17\cdot 89^{29k+15}\\||+807\cdot 89^{28k+14}-65\cdot 89^{27k+14}+115\cdot 89^{26k+13}-9\cdot 89^{25k+13}+529\cdot 89^{24k+12}\\||-79\cdot 89^{23k+12}+285\cdot 89^{22k+11}+47\cdot 89^{21k+11}-655\cdot 89^{20k+10}+11\cdot 89^{19k+10}\\||+683\cdot 89^{18k+9}-111\cdot 89^{17k+9}+875\cdot 89^{16k+8}-59\cdot 89^{15k+8}+429\cdot 89^{14k+7}\\||-47\cdot 89^{13k+7}+373\cdot 89^{12k+6}-19\cdot 89^{11k+6}+59\cdot 89^{10k+5}-19\cdot 89^{9k+5}\\||+471\cdot 89^{8k+4}-75\cdot 89^{7k+4}+729\cdot 89^{6k+3}-59\cdot 89^{5k+3}+323\cdot 89^{4k+2}\\||-15\cdot 89^{3k+2}+45\cdot 89^{2k+1}-89^{k+1}+1)\\|\times|(89^{88k+44}+89^{87k+44}+45\cdot 89^{86k+43}+15\cdot 89^{85k+43}+323\cdot 89^{84k+42}\\||+59\cdot 89^{83k+42}+729\cdot 89^{82k+41}+75\cdot 89^{81k+41}+471\cdot 89^{80k+40}+19\cdot 89^{79k+40}\\||+59\cdot 89^{78k+39}+19\cdot 89^{77k+39}+373\cdot 89^{76k+38}+47\cdot 89^{75k+38}+429\cdot 89^{74k+37}\\||+59\cdot 89^{73k+37}+875\cdot 89^{72k+36}+111\cdot 89^{71k+36}+683\cdot 89^{70k+35}-11\cdot 89^{69k+35}\\||-655\cdot 89^{68k+34}-47\cdot 89^{67k+34}+285\cdot 89^{66k+33}+79\cdot 89^{65k+33}+529\cdot 89^{64k+32}\\||+9\cdot 89^{63k+32}+115\cdot 89^{62k+31}+65\cdot 89^{61k+31}+807\cdot 89^{60k+30}+17\cdot 89^{59k+30}\\||-813\cdot 89^{58k+29}-111\cdot 89^{57k+29}-223\cdot 89^{56k+28}+79\cdot 89^{55k+28}+739\cdot 89^{54k+27}\\||-23\cdot 89^{53k+27}-975\cdot 89^{52k+26}-73\cdot 89^{51k+26}+121\cdot 89^{50k+25}+25\cdot 89^{49k+25}\\||-663\cdot 89^{48k+24}-161\cdot 89^{47k+24}-1213\cdot 89^{46k+23}-3\cdot 89^{45k+23}+633\cdot 89^{44k+22}\\||-3\cdot 89^{43k+22}-1213\cdot 89^{42k+21}-161\cdot 89^{41k+21}-663\cdot 89^{40k+20}+25\cdot 89^{39k+20}\\||+121\cdot 89^{38k+19}-73\cdot 89^{37k+19}-975\cdot 89^{36k+18}-23\cdot 89^{35k+18}+739\cdot 89^{34k+17}\\||+79\cdot 89^{33k+17}-223\cdot 89^{32k+16}-111\cdot 89^{31k+16}-813\cdot 89^{30k+15}+17\cdot 89^{29k+15}\\||+807\cdot 89^{28k+14}+65\cdot 89^{27k+14}+115\cdot 89^{26k+13}+9\cdot 89^{25k+13}+529\cdot 89^{24k+12}\\||+79\cdot 89^{23k+12}+285\cdot 89^{22k+11}-47\cdot 89^{21k+11}-655\cdot 89^{20k+10}-11\cdot 89^{19k+10}\\||+683\cdot 89^{18k+9}+111\cdot 89^{17k+9}+875\cdot 89^{16k+8}+59\cdot 89^{15k+8}+429\cdot 89^{14k+7}\\||+47\cdot 89^{13k+7}+373\cdot 89^{12k+6}+19\cdot 89^{11k+6}+59\cdot 89^{10k+5}+19\cdot 89^{9k+5}\\||+471\cdot 89^{8k+4}+75\cdot 89^{7k+4}+729\cdot 89^{6k+3}+59\cdot 89^{5k+3}+323\cdot 89^{4k+2}\\||+15\cdot 89^{3k+2}+45\cdot 89^{2k+1}+89^{k+1}+1)\end{eqnarray}%%
Φ182(912k+1)⋯Φ97(972k+1)Φ182(912k+1)⋯Φ97(972k+1)
%%\begin{eqnarray}{\large\Phi}_{182}(91^{2k+1})|=|91^{144k+72}+91^{142k+71}-91^{130k+65}-91^{128k+64}-91^{118k+59}\\||+91^{114k+57}+91^{104k+52}-91^{100k+50}+91^{92k+46}+91^{86k+43}\\||-91^{78k+39}-91^{72k+36}-91^{66k+33}+91^{58k+29}+91^{52k+26}\\||-91^{44k+22}+91^{40k+20}+91^{30k+15}-91^{26k+13}-91^{16k+8}\\||-91^{14k+7}+91^{2k+1}+1\\|=|(91^{72k+36}-91^{71k+36}+46\cdot 91^{70k+35}-16\cdot 91^{69k+35}+398\cdot 91^{68k+34}\\||-92\cdot 91^{67k+34}+1712\cdot 91^{66k+33}-319\cdot 91^{65k+33}+5027\cdot 91^{64k+32}-820\cdot 91^{63k+32}\\||+11578\cdot 91^{62k+31}-1722\cdot 91^{61k+31}+22484\cdot 91^{60k+30}-3129\cdot 91^{59k+30}+38604\cdot 91^{58k+29}\\||-5117\cdot 91^{57k+29}+60518\cdot 91^{56k+28}-7730\cdot 91^{55k+28}+88474\cdot 91^{54k+27}-10974\cdot 91^{53k+27}\\||+122293\cdot 91^{52k+26}-14798\cdot 91^{51k+26}+161111\cdot 91^{50k+25}-19068\cdot 91^{49k+25}+203238\cdot 91^{48k+24}\\||-23566\cdot 91^{47k+24}+246235\cdot 91^{46k+23}-28004\cdot 91^{45k+23}+287132\cdot 91^{44k+22}-32059\cdot 91^{43k+22}\\||+322848\cdot 91^{42k+21}-35418\cdot 91^{41k+21}+350578\cdot 91^{40k+20}-37815\cdot 91^{39k+20}+368130\cdot 91^{38k+19}\\||-39062\cdot 91^{37k+19}+374137\cdot 91^{36k+18}-39062\cdot 91^{35k+18}+368130\cdot 91^{34k+17}-37815\cdot 91^{33k+17}\\||+350578\cdot 91^{32k+16}-35418\cdot 91^{31k+16}+322848\cdot 91^{30k+15}-32059\cdot 91^{29k+15}+287132\cdot 91^{28k+14}\\||-28004\cdot 91^{27k+14}+246235\cdot 91^{26k+13}-23566\cdot 91^{25k+13}+203238\cdot 91^{24k+12}-19068\cdot 91^{23k+12}\\||+161111\cdot 91^{22k+11}-14798\cdot 91^{21k+11}+122293\cdot 91^{20k+10}-10974\cdot 91^{19k+10}+88474\cdot 91^{18k+9}\\||-7730\cdot 91^{17k+9}+60518\cdot 91^{16k+8}-5117\cdot 91^{15k+8}+38604\cdot 91^{14k+7}-3129\cdot 91^{13k+7}\\||+22484\cdot 91^{12k+6}-1722\cdot 91^{11k+6}+11578\cdot 91^{10k+5}-820\cdot 91^{9k+5}+5027\cdot 91^{8k+4}\\||-319\cdot 91^{7k+4}+1712\cdot 91^{6k+3}-92\cdot 91^{5k+3}+398\cdot 91^{4k+2}-16\cdot 91^{3k+2}\\||+46\cdot 91^{2k+1}-91^{k+1}+1)\\|\times|(91^{72k+36}+91^{71k+36}+46\cdot 91^{70k+35}+16\cdot 91^{69k+35}+398\cdot 91^{68k+34}\\||+92\cdot 91^{67k+34}+1712\cdot 91^{66k+33}+319\cdot 91^{65k+33}+5027\cdot 91^{64k+32}+820\cdot 91^{63k+32}\\||+11578\cdot 91^{62k+31}+1722\cdot 91^{61k+31}+22484\cdot 91^{60k+30}+3129\cdot 91^{59k+30}+38604\cdot 91^{58k+29}\\||+5117\cdot 91^{57k+29}+60518\cdot 91^{56k+28}+7730\cdot 91^{55k+28}+88474\cdot 91^{54k+27}+10974\cdot 91^{53k+27}\\||+122293\cdot 91^{52k+26}+14798\cdot 91^{51k+26}+161111\cdot 91^{50k+25}+19068\cdot 91^{49k+25}+203238\cdot 91^{48k+24}\\||+23566\cdot 91^{47k+24}+246235\cdot 91^{46k+23}+28004\cdot 91^{45k+23}+287132\cdot 91^{44k+22}+32059\cdot 91^{43k+22}\\||+322848\cdot 91^{42k+21}+35418\cdot 91^{41k+21}+350578\cdot 91^{40k+20}+37815\cdot 91^{39k+20}+368130\cdot 91^{38k+19}\\||+39062\cdot 91^{37k+19}+374137\cdot 91^{36k+18}+39062\cdot 91^{35k+18}+368130\cdot 91^{34k+17}+37815\cdot 91^{33k+17}\\||+350578\cdot 91^{32k+16}+35418\cdot 91^{31k+16}+322848\cdot 91^{30k+15}+32059\cdot 91^{29k+15}+287132\cdot 91^{28k+14}\\||+28004\cdot 91^{27k+14}+246235\cdot 91^{26k+13}+23566\cdot 91^{25k+13}+203238\cdot 91^{24k+12}+19068\cdot 91^{23k+12}\\||+161111\cdot 91^{22k+11}+14798\cdot 91^{21k+11}+122293\cdot 91^{20k+10}+10974\cdot 91^{19k+10}+88474\cdot 91^{18k+9}\\||+7730\cdot 91^{17k+9}+60518\cdot 91^{16k+8}+5117\cdot 91^{15k+8}+38604\cdot 91^{14k+7}+3129\cdot 91^{13k+7}\\||+22484\cdot 91^{12k+6}+1722\cdot 91^{11k+6}+11578\cdot 91^{10k+5}+820\cdot 91^{9k+5}+5027\cdot 91^{8k+4}\\||+319\cdot 91^{7k+4}+1712\cdot 91^{6k+3}+92\cdot 91^{5k+3}+398\cdot 91^{4k+2}+16\cdot 91^{3k+2}\\||+46\cdot 91^{2k+1}+91^{k+1}+1)\\{\large\Phi}_{93}(93^{2k+1})|=|93^{120k+60}-93^{118k+59}+93^{114k+57}-93^{112k+56}+93^{108k+54}\\||-93^{106k+53}+93^{102k+51}-93^{100k+50}+93^{96k+48}-93^{94k+47}\\||+93^{90k+45}-93^{88k+44}+93^{84k+42}-93^{82k+41}+93^{78k+39}\\||-93^{76k+38}+93^{72k+36}-93^{70k+35}+93^{66k+33}-93^{64k+32}\\||+93^{60k+30}-93^{56k+28}+93^{54k+27}-93^{50k+25}+93^{48k+24}\\||-93^{44k+22}+93^{42k+21}-93^{38k+19}+93^{36k+18}-93^{32k+16}\\||+93^{30k+15}-93^{26k+13}+93^{24k+12}-93^{20k+10}+93^{18k+9}\\||-93^{14k+7}+93^{12k+6}-93^{8k+4}+93^{6k+3}-93^{2k+1}+1\\|=|(93^{60k+30}-93^{59k+30}+46\cdot 93^{58k+29}-15\cdot 93^{57k+29}+337\cdot 93^{56k+28}\\||-64\cdot 93^{55k+28}+913\cdot 93^{54k+27}-113\cdot 93^{53k+27}+1006\cdot 93^{52k+26}-63\cdot 93^{51k+26}\\||+93^{50k+25}+58\cdot 93^{49k+25}-785\cdot 93^{48k+24}+53\cdot 93^{47k+24}+190\cdot 93^{46k+23}\\||-105\cdot 93^{45k+23}+1555\cdot 93^{44k+22}-158\cdot 93^{43k+22}+889\cdot 93^{42k+21}+9\cdot 93^{41k+21}\\||-956\cdot 93^{40k+20}+133\cdot 93^{39k+20}-851\cdot 93^{38k+19}-22\cdot 93^{37k+19}+1471\cdot 93^{36k+18}\\||-245\cdot 93^{35k+18}+2458\cdot 93^{34k+17}-175\cdot 93^{33k+17}+409\cdot 93^{32k+16}+78\cdot 93^{31k+16}\\||-1217\cdot 93^{30k+15}+78\cdot 93^{29k+15}+409\cdot 93^{28k+14}-175\cdot 93^{27k+14}+2458\cdot 93^{26k+13}\\||-245\cdot 93^{25k+13}+1471\cdot 93^{24k+12}-22\cdot 93^{23k+12}-851\cdot 93^{22k+11}+133\cdot 93^{21k+11}\\||-956\cdot 93^{20k+10}+9\cdot 93^{19k+10}+889\cdot 93^{18k+9}-158\cdot 93^{17k+9}+1555\cdot 93^{16k+8}\\||-105\cdot 93^{15k+8}+190\cdot 93^{14k+7}+53\cdot 93^{13k+7}-785\cdot 93^{12k+6}+58\cdot 93^{11k+6}\\||+93^{10k+5}-63\cdot 93^{9k+5}+1006\cdot 93^{8k+4}-113\cdot 93^{7k+4}+913\cdot 93^{6k+3}\\||-64\cdot 93^{5k+3}+337\cdot 93^{4k+2}-15\cdot 93^{3k+2}+46\cdot 93^{2k+1}-93^{k+1}+1)\\|\times|(93^{60k+30}+93^{59k+30}+46\cdot 93^{58k+29}+15\cdot 93^{57k+29}+337\cdot 93^{56k+28}\\||+64\cdot 93^{55k+28}+913\cdot 93^{54k+27}+113\cdot 93^{53k+27}+1006\cdot 93^{52k+26}+63\cdot 93^{51k+26}\\||+93^{50k+25}-58\cdot 93^{49k+25}-785\cdot 93^{48k+24}-53\cdot 93^{47k+24}+190\cdot 93^{46k+23}\\||+105\cdot 93^{45k+23}+1555\cdot 93^{44k+22}+158\cdot 93^{43k+22}+889\cdot 93^{42k+21}-9\cdot 93^{41k+21}\\||-956\cdot 93^{40k+20}-133\cdot 93^{39k+20}-851\cdot 93^{38k+19}+22\cdot 93^{37k+19}+1471\cdot 93^{36k+18}\\||+245\cdot 93^{35k+18}+2458\cdot 93^{34k+17}+175\cdot 93^{33k+17}+409\cdot 93^{32k+16}-78\cdot 93^{31k+16}\\||-1217\cdot 93^{30k+15}-78\cdot 93^{29k+15}+409\cdot 93^{28k+14}+175\cdot 93^{27k+14}+2458\cdot 93^{26k+13}\\||+245\cdot 93^{25k+13}+1471\cdot 93^{24k+12}+22\cdot 93^{23k+12}-851\cdot 93^{22k+11}-133\cdot 93^{21k+11}\\||-956\cdot 93^{20k+10}-9\cdot 93^{19k+10}+889\cdot 93^{18k+9}+158\cdot 93^{17k+9}+1555\cdot 93^{16k+8}\\||+105\cdot 93^{15k+8}+190\cdot 93^{14k+7}-53\cdot 93^{13k+7}-785\cdot 93^{12k+6}-58\cdot 93^{11k+6}\\||+93^{10k+5}+63\cdot 93^{9k+5}+1006\cdot 93^{8k+4}+113\cdot 93^{7k+4}+913\cdot 93^{6k+3}\\||+64\cdot 93^{5k+3}+337\cdot 93^{4k+2}+15\cdot 93^{3k+2}+46\cdot 93^{2k+1}+93^{k+1}+1)\\{\large\Phi}_{188}(94^{2k+1})|=|94^{184k+92}-94^{180k+90}+94^{176k+88}-94^{172k+86}+94^{168k+84}\\||-94^{164k+82}+94^{160k+80}-94^{156k+78}+94^{152k+76}-94^{148k+74}\\||+94^{144k+72}-94^{140k+70}+94^{136k+68}-94^{132k+66}+94^{128k+64}\\||-94^{124k+62}+94^{120k+60}-94^{116k+58}+94^{112k+56}-94^{108k+54}\\||+94^{104k+52}-94^{100k+50}+94^{96k+48}-94^{92k+46}+94^{88k+44}\\||-94^{84k+42}+94^{80k+40}-94^{76k+38}+94^{72k+36}-94^{68k+34}\\||+94^{64k+32}-94^{60k+30}+94^{56k+28}-94^{52k+26}+94^{48k+24}\\||-94^{44k+22}+94^{40k+20}-94^{36k+18}+94^{32k+16}-94^{28k+14}\\||+94^{24k+12}-94^{20k+10}+94^{16k+8}-94^{12k+6}+94^{8k+4}\\||-94^{4k+2}+1\\|=|(94^{92k+46}-94^{91k+46}+47\cdot 94^{90k+45}-16\cdot 94^{89k+45}+399\cdot 94^{88k+44}\\||-89\cdot 94^{87k+44}+1645\cdot 94^{86k+43}-294\cdot 94^{85k+43}+4577\cdot 94^{84k+42}-711\cdot 94^{83k+42}\\||+9823\cdot 94^{82k+41}-1376\cdot 94^{81k+41}+17375\cdot 94^{80k+40}-2249\cdot 94^{79k+40}+26461\cdot 94^{78k+39}\\||-3212\cdot 94^{77k+39}+35645\cdot 94^{76k+38}-4105\cdot 94^{75k+38}+43475\cdot 94^{74k+37}-4806\cdot 94^{73k+37}\\||+49159\cdot 94^{72k+36}-5285\cdot 94^{71k+36}+52969\cdot 94^{70k+35}-5620\cdot 94^{69k+35}+55921\cdot 94^{68k+34}\\||-5917\cdot 94^{67k+34}+58891\cdot 94^{66k+33}-6240\cdot 94^{65k+33}+62139\cdot 94^{64k+32}-6573\cdot 94^{63k+32}\\||+65189\cdot 94^{62k+31}-6856\cdot 94^{61k+31}+67549\cdot 94^{60k+30}-7059\cdot 94^{59k+30}+69231\cdot 94^{58k+29}\\||-7228\cdot 94^{57k+29}+71159\cdot 94^{56k+28}-7491\cdot 94^{55k+28}+74589\cdot 94^{54k+27}-7950\cdot 94^{53k+27}\\||+80033\cdot 94^{52k+26}-8589\cdot 94^{51k+26}+86527\cdot 94^{50k+25}-9230\cdot 94^{49k+25}+91867\cdot 94^{48k+24}\\||-9635\cdot 94^{47k+24}+93953\cdot 94^{46k+23}-9635\cdot 94^{45k+23}+91867\cdot 94^{44k+22}-9230\cdot 94^{43k+22}\\||+86527\cdot 94^{42k+21}-8589\cdot 94^{41k+21}+80033\cdot 94^{40k+20}-7950\cdot 94^{39k+20}+74589\cdot 94^{38k+19}\\||-7491\cdot 94^{37k+19}+71159\cdot 94^{36k+18}-7228\cdot 94^{35k+18}+69231\cdot 94^{34k+17}-7059\cdot 94^{33k+17}\\||+67549\cdot 94^{32k+16}-6856\cdot 94^{31k+16}+65189\cdot 94^{30k+15}-6573\cdot 94^{29k+15}+62139\cdot 94^{28k+14}\\||-6240\cdot 94^{27k+14}+58891\cdot 94^{26k+13}-5917\cdot 94^{25k+13}+55921\cdot 94^{24k+12}-5620\cdot 94^{23k+12}\\||+52969\cdot 94^{22k+11}-5285\cdot 94^{21k+11}+49159\cdot 94^{20k+10}-4806\cdot 94^{19k+10}+43475\cdot 94^{18k+9}\\||-4105\cdot 94^{17k+9}+35645\cdot 94^{16k+8}-3212\cdot 94^{15k+8}+26461\cdot 94^{14k+7}-2249\cdot 94^{13k+7}\\||+17375\cdot 94^{12k+6}-1376\cdot 94^{11k+6}+9823\cdot 94^{10k+5}-711\cdot 94^{9k+5}+4577\cdot 94^{8k+4}\\||-294\cdot 94^{7k+4}+1645\cdot 94^{6k+3}-89\cdot 94^{5k+3}+399\cdot 94^{4k+2}-16\cdot 94^{3k+2}\\||+47\cdot 94^{2k+1}-94^{k+1}+1)\\|\times|(94^{92k+46}+94^{91k+46}+47\cdot 94^{90k+45}+16\cdot 94^{89k+45}+399\cdot 94^{88k+44}\\||+89\cdot 94^{87k+44}+1645\cdot 94^{86k+43}+294\cdot 94^{85k+43}+4577\cdot 94^{84k+42}+711\cdot 94^{83k+42}\\||+9823\cdot 94^{82k+41}+1376\cdot 94^{81k+41}+17375\cdot 94^{80k+40}+2249\cdot 94^{79k+40}+26461\cdot 94^{78k+39}\\||+3212\cdot 94^{77k+39}+35645\cdot 94^{76k+38}+4105\cdot 94^{75k+38}+43475\cdot 94^{74k+37}+4806\cdot 94^{73k+37}\\||+49159\cdot 94^{72k+36}+5285\cdot 94^{71k+36}+52969\cdot 94^{70k+35}+5620\cdot 94^{69k+35}+55921\cdot 94^{68k+34}\\||+5917\cdot 94^{67k+34}+58891\cdot 94^{66k+33}+6240\cdot 94^{65k+33}+62139\cdot 94^{64k+32}+6573\cdot 94^{63k+32}\\||+65189\cdot 94^{62k+31}+6856\cdot 94^{61k+31}+67549\cdot 94^{60k+30}+7059\cdot 94^{59k+30}+69231\cdot 94^{58k+29}\\||+7228\cdot 94^{57k+29}+71159\cdot 94^{56k+28}+7491\cdot 94^{55k+28}+74589\cdot 94^{54k+27}+7950\cdot 94^{53k+27}\\||+80033\cdot 94^{52k+26}+8589\cdot 94^{51k+26}+86527\cdot 94^{50k+25}+9230\cdot 94^{49k+25}+91867\cdot 94^{48k+24}\\||+9635\cdot 94^{47k+24}+93953\cdot 94^{46k+23}+9635\cdot 94^{45k+23}+91867\cdot 94^{44k+22}+9230\cdot 94^{43k+22}\\||+86527\cdot 94^{42k+21}+8589\cdot 94^{41k+21}+80033\cdot 94^{40k+20}+7950\cdot 94^{39k+20}+74589\cdot 94^{38k+19}\\||+7491\cdot 94^{37k+19}+71159\cdot 94^{36k+18}+7228\cdot 94^{35k+18}+69231\cdot 94^{34k+17}+7059\cdot 94^{33k+17}\\||+67549\cdot 94^{32k+16}+6856\cdot 94^{31k+16}+65189\cdot 94^{30k+15}+6573\cdot 94^{29k+15}+62139\cdot 94^{28k+14}\\||+6240\cdot 94^{27k+14}+58891\cdot 94^{26k+13}+5917\cdot 94^{25k+13}+55921\cdot 94^{24k+12}+5620\cdot 94^{23k+12}\\||+52969\cdot 94^{22k+11}+5285\cdot 94^{21k+11}+49159\cdot 94^{20k+10}+4806\cdot 94^{19k+10}+43475\cdot 94^{18k+9}\\||+4105\cdot 94^{17k+9}+35645\cdot 94^{16k+8}+3212\cdot 94^{15k+8}+26461\cdot 94^{14k+7}+2249\cdot 94^{13k+7}\\||+17375\cdot 94^{12k+6}+1376\cdot 94^{11k+6}+9823\cdot 94^{10k+5}+711\cdot 94^{9k+5}+4577\cdot 94^{8k+4}\\||+294\cdot 94^{7k+4}+1645\cdot 94^{6k+3}+89\cdot 94^{5k+3}+399\cdot 94^{4k+2}+16\cdot 94^{3k+2}\\||+47\cdot 94^{2k+1}+94^{k+1}+1)\\{\large\Phi}_{190}(95^{2k+1})|=|95^{144k+72}+95^{142k+71}-95^{134k+67}-95^{132k+66}+95^{124k+62}\\||+95^{122k+61}-95^{114k+57}-95^{112k+56}-95^{106k+53}+95^{102k+51}\\||+95^{96k+48}-95^{92k+46}-95^{86k+43}+95^{82k+41}+95^{76k+38}\\||-95^{72k+36}+95^{68k+34}+95^{62k+31}-95^{58k+29}-95^{52k+26}\\||+95^{48k+24}+95^{42k+21}-95^{38k+19}-95^{32k+16}-95^{30k+15}\\||+95^{22k+11}+95^{20k+10}-95^{12k+6}-95^{10k+5}+95^{2k+1}+1\\|=|(95^{72k+36}-95^{71k+36}+48\cdot 95^{70k+35}-16\cdot 95^{69k+35}+368\cdot 95^{68k+34}\\||-67\cdot 95^{67k+34}+861\cdot 95^{66k+33}-78\cdot 95^{65k+33}+210\cdot 95^{64k+32}+64\cdot 95^{63k+32}\\||-1221\cdot 95^{62k+31}+101\cdot 95^{61k+31}+262\cdot 95^{60k+30}-198\cdot 95^{59k+30}+2862\cdot 95^{58k+29}\\||-215\cdot 95^{57k+29}-281\cdot 95^{56k+28}+296\cdot 95^{55k+28}-3800\cdot 95^{54k+27}+203\cdot 95^{53k+27}\\||+1716\cdot 95^{52k+26}-491\cdot 95^{51k+26}+4758\cdot 95^{50k+25}-118\cdot 95^{49k+25}-3817\cdot 95^{48k+24}\\||+672\cdot 95^{47k+24}-4699\cdot 95^{46k+23}-88\cdot 95^{45k+23}+6320\cdot 95^{44k+22}-777\cdot 95^{43k+22}\\||+3294\cdot 95^{42k+21}+391\cdot 95^{41k+21}-8738\cdot 95^{40k+20}+798\cdot 95^{39k+20}-1343\cdot 95^{38k+19}\\||-632\cdot 95^{37k+19}+9439\cdot 95^{36k+18}-632\cdot 95^{35k+18}-1343\cdot 95^{34k+17}+798\cdot 95^{33k+17}\\||-8738\cdot 95^{32k+16}+391\cdot 95^{31k+16}+3294\cdot 95^{30k+15}-777\cdot 95^{29k+15}+6320\cdot 95^{28k+14}\\||-88\cdot 95^{27k+14}-4699\cdot 95^{26k+13}+672\cdot 95^{25k+13}-3817\cdot 95^{24k+12}-118\cdot 95^{23k+12}\\||+4758\cdot 95^{22k+11}-491\cdot 95^{21k+11}+1716\cdot 95^{20k+10}+203\cdot 95^{19k+10}-3800\cdot 95^{18k+9}\\||+296\cdot 95^{17k+9}-281\cdot 95^{16k+8}-215\cdot 95^{15k+8}+2862\cdot 95^{14k+7}-198\cdot 95^{13k+7}\\||+262\cdot 95^{12k+6}+101\cdot 95^{11k+6}-1221\cdot 95^{10k+5}+64\cdot 95^{9k+5}+210\cdot 95^{8k+4}\\||-78\cdot 95^{7k+4}+861\cdot 95^{6k+3}-67\cdot 95^{5k+3}+368\cdot 95^{4k+2}-16\cdot 95^{3k+2}\\||+48\cdot 95^{2k+1}-95^{k+1}+1)\\|\times|(95^{72k+36}+95^{71k+36}+48\cdot 95^{70k+35}+16\cdot 95^{69k+35}+368\cdot 95^{68k+34}\\||+67\cdot 95^{67k+34}+861\cdot 95^{66k+33}+78\cdot 95^{65k+33}+210\cdot 95^{64k+32}-64\cdot 95^{63k+32}\\||-1221\cdot 95^{62k+31}-101\cdot 95^{61k+31}+262\cdot 95^{60k+30}+198\cdot 95^{59k+30}+2862\cdot 95^{58k+29}\\||+215\cdot 95^{57k+29}-281\cdot 95^{56k+28}-296\cdot 95^{55k+28}-3800\cdot 95^{54k+27}-203\cdot 95^{53k+27}\\||+1716\cdot 95^{52k+26}+491\cdot 95^{51k+26}+4758\cdot 95^{50k+25}+118\cdot 95^{49k+25}-3817\cdot 95^{48k+24}\\||-672\cdot 95^{47k+24}-4699\cdot 95^{46k+23}+88\cdot 95^{45k+23}+6320\cdot 95^{44k+22}+777\cdot 95^{43k+22}\\||+3294\cdot 95^{42k+21}-391\cdot 95^{41k+21}-8738\cdot 95^{40k+20}-798\cdot 95^{39k+20}-1343\cdot 95^{38k+19}\\||+632\cdot 95^{37k+19}+9439\cdot 95^{36k+18}+632\cdot 95^{35k+18}-1343\cdot 95^{34k+17}-798\cdot 95^{33k+17}\\||-8738\cdot 95^{32k+16}-391\cdot 95^{31k+16}+3294\cdot 95^{30k+15}+777\cdot 95^{29k+15}+6320\cdot 95^{28k+14}\\||+88\cdot 95^{27k+14}-4699\cdot 95^{26k+13}-672\cdot 95^{25k+13}-3817\cdot 95^{24k+12}+118\cdot 95^{23k+12}\\||+4758\cdot 95^{22k+11}+491\cdot 95^{21k+11}+1716\cdot 95^{20k+10}-203\cdot 95^{19k+10}-3800\cdot 95^{18k+9}\\||-296\cdot 95^{17k+9}-281\cdot 95^{16k+8}+215\cdot 95^{15k+8}+2862\cdot 95^{14k+7}+198\cdot 95^{13k+7}\\||+262\cdot 95^{12k+6}-101\cdot 95^{11k+6}-1221\cdot 95^{10k+5}-64\cdot 95^{9k+5}+210\cdot 95^{8k+4}\\||+78\cdot 95^{7k+4}+861\cdot 95^{6k+3}+67\cdot 95^{5k+3}+368\cdot 95^{4k+2}+16\cdot 95^{3k+2}\\||+48\cdot 95^{2k+1}+95^{k+1}+1)\\{\large\Phi}_{97}(97^{2k+1})|=|97^{192k+96}+97^{190k+95}+97^{188k+94}+97^{186k+93}+97^{184k+92}\\||+97^{182k+91}+97^{180k+90}+97^{178k+89}+97^{176k+88}+97^{174k+87}\\||+97^{172k+86}+97^{170k+85}+97^{168k+84}+97^{166k+83}+97^{164k+82}\\||+97^{162k+81}+97^{160k+80}+97^{158k+79}+97^{156k+78}+97^{154k+77}\\||+97^{152k+76}+97^{150k+75}+97^{148k+74}+97^{146k+73}+97^{144k+72}\\||+97^{142k+71}+97^{140k+70}+97^{138k+69}+97^{136k+68}+97^{134k+67}\\||+97^{132k+66}+97^{130k+65}+97^{128k+64}+97^{126k+63}+97^{124k+62}\\||+97^{122k+61}+97^{120k+60}+97^{118k+59}+97^{116k+58}+97^{114k+57}\\||+97^{112k+56}+97^{110k+55}+97^{108k+54}+97^{106k+53}+97^{104k+52}\\||+97^{102k+51}+97^{100k+50}+97^{98k+49}+97^{96k+48}+97^{94k+47}\\||+97^{92k+46}+97^{90k+45}+97^{88k+44}+97^{86k+43}+97^{84k+42}\\||+97^{82k+41}+97^{80k+40}+97^{78k+39}+97^{76k+38}+97^{74k+37}\\||+97^{72k+36}+97^{70k+35}+97^{68k+34}+97^{66k+33}+97^{64k+32}\\||+97^{62k+31}+97^{60k+30}+97^{58k+29}+97^{56k+28}+97^{54k+27}\\||+97^{52k+26}+97^{50k+25}+97^{48k+24}+97^{46k+23}+97^{44k+22}\\||+97^{42k+21}+97^{40k+20}+97^{38k+19}+97^{36k+18}+97^{34k+17}\\||+97^{32k+16}+97^{30k+15}+97^{28k+14}+97^{26k+13}+97^{24k+12}\\||+97^{22k+11}+97^{20k+10}+97^{18k+9}+97^{16k+8}+97^{14k+7}\\||+97^{12k+6}+97^{10k+5}+97^{8k+4}+97^{6k+3}+97^{4k+2}\\||+97^{2k+1}+1\\|=|(97^{96k+48}-97^{95k+48}+49\cdot 97^{94k+47}-17\cdot 97^{93k+47}+449\cdot 97^{92k+46}\\||-103\cdot 97^{91k+46}+2007\cdot 97^{90k+45}-361\cdot 97^{89k+45}+5721\cdot 97^{88k+44}-857\cdot 97^{87k+44}\\||+11483\cdot 97^{86k+43}-1467\cdot 97^{85k+43}+16823\cdot 97^{84k+42}-1837\cdot 97^{83k+42}+17887\cdot 97^{82k+41}\\||-1637\cdot 97^{81k+41}+13077\cdot 97^{80k+40}-951\cdot 97^{79k+40}+5803\cdot 97^{78k+39}-321\cdot 97^{77k+39}\\||+1919\cdot 97^{76k+38}-209\cdot 97^{75k+38}+3009\cdot 97^{74k+37}-383\cdot 97^{73k+37}+3211\cdot 97^{72k+36}\\||-43\cdot 97^{71k+36}-4915\cdot 97^{70k+35}+1255\cdot 97^{69k+35}-20741\cdot 97^{68k+34}+2887\cdot 97^{67k+34}\\||-33801\cdot 97^{66k+33}+3621\cdot 97^{65k+33}-33645\cdot 97^{64k+32}+2873\cdot 97^{63k+32}-20927\cdot 97^{62k+31}\\||+1343\cdot 97^{61k+31}-6763\cdot 97^{60k+30}+257\cdot 97^{59k+30}-691\cdot 97^{58k+29}+57\cdot 97^{57k+29}\\||-875\cdot 97^{56k+28}+21\cdot 97^{55k+28}+2557\cdot 97^{54k+27}-797\cdot 97^{53k+27}+15261\cdot 97^{52k+26}\\||-2399\cdot 97^{51k+26}+31337\cdot 97^{50k+25}-3733\cdot 97^{49k+25}+38721\cdot 97^{48k+24}-3733\cdot 97^{47k+24}\\||+31337\cdot 97^{46k+23}-2399\cdot 97^{45k+23}+15261\cdot 97^{44k+22}-797\cdot 97^{43k+22}+2557\cdot 97^{42k+21}\\||+21\cdot 97^{41k+21}-875\cdot 97^{40k+20}+57\cdot 97^{39k+20}-691\cdot 97^{38k+19}+257\cdot 97^{37k+19}\\||-6763\cdot 97^{36k+18}+1343\cdot 97^{35k+18}-20927\cdot 97^{34k+17}+2873\cdot 97^{33k+17}-33645\cdot 97^{32k+16}\\||+3621\cdot 97^{31k+16}-33801\cdot 97^{30k+15}+2887\cdot 97^{29k+15}-20741\cdot 97^{28k+14}+1255\cdot 97^{27k+14}\\||-4915\cdot 97^{26k+13}-43\cdot 97^{25k+13}+3211\cdot 97^{24k+12}-383\cdot 97^{23k+12}+3009\cdot 97^{22k+11}\\||-209\cdot 97^{21k+11}+1919\cdot 97^{20k+10}-321\cdot 97^{19k+10}+5803\cdot 97^{18k+9}-951\cdot 97^{17k+9}\\||+13077\cdot 97^{16k+8}-1637\cdot 97^{15k+8}+17887\cdot 97^{14k+7}-1837\cdot 97^{13k+7}+16823\cdot 97^{12k+6}\\||-1467\cdot 97^{11k+6}+11483\cdot 97^{10k+5}-857\cdot 97^{9k+5}+5721\cdot 97^{8k+4}-361\cdot 97^{7k+4}\\||+2007\cdot 97^{6k+3}-103\cdot 97^{5k+3}+449\cdot 97^{4k+2}-17\cdot 97^{3k+2}+49\cdot 97^{2k+1}\\||-97^{k+1}+1)\\|\times|(97^{96k+48}+97^{95k+48}+49\cdot 97^{94k+47}+17\cdot 97^{93k+47}+449\cdot 97^{92k+46}\\||+103\cdot 97^{91k+46}+2007\cdot 97^{90k+45}+361\cdot 97^{89k+45}+5721\cdot 97^{88k+44}+857\cdot 97^{87k+44}\\||+11483\cdot 97^{86k+43}+1467\cdot 97^{85k+43}+16823\cdot 97^{84k+42}+1837\cdot 97^{83k+42}+17887\cdot 97^{82k+41}\\||+1637\cdot 97^{81k+41}+13077\cdot 97^{80k+40}+951\cdot 97^{79k+40}+5803\cdot 97^{78k+39}+321\cdot 97^{77k+39}\\||+1919\cdot 97^{76k+38}+209\cdot 97^{75k+38}+3009\cdot 97^{74k+37}+383\cdot 97^{73k+37}+3211\cdot 97^{72k+36}\\||+43\cdot 97^{71k+36}-4915\cdot 97^{70k+35}-1255\cdot 97^{69k+35}-20741\cdot 97^{68k+34}-2887\cdot 97^{67k+34}\\||-33801\cdot 97^{66k+33}-3621\cdot 97^{65k+33}-33645\cdot 97^{64k+32}-2873\cdot 97^{63k+32}-20927\cdot 97^{62k+31}\\||-1343\cdot 97^{61k+31}-6763\cdot 97^{60k+30}-257\cdot 97^{59k+30}-691\cdot 97^{58k+29}-57\cdot 97^{57k+29}\\||-875\cdot 97^{56k+28}-21\cdot 97^{55k+28}+2557\cdot 97^{54k+27}+797\cdot 97^{53k+27}+15261\cdot 97^{52k+26}\\||+2399\cdot 97^{51k+26}+31337\cdot 97^{50k+25}+3733\cdot 97^{49k+25}+38721\cdot 97^{48k+24}+3733\cdot 97^{47k+24}\\||+31337\cdot 97^{46k+23}+2399\cdot 97^{45k+23}+15261\cdot 97^{44k+22}+797\cdot 97^{43k+22}+2557\cdot 97^{42k+21}\\||-21\cdot 97^{41k+21}-875\cdot 97^{40k+20}-57\cdot 97^{39k+20}-691\cdot 97^{38k+19}-257\cdot 97^{37k+19}\\||-6763\cdot 97^{36k+18}-1343\cdot 97^{35k+18}-20927\cdot 97^{34k+17}-2873\cdot 97^{33k+17}-33645\cdot 97^{32k+16}\\||-3621\cdot 97^{31k+16}-33801\cdot 97^{30k+15}-2887\cdot 97^{29k+15}-20741\cdot 97^{28k+14}-1255\cdot 97^{27k+14}\\||-4915\cdot 97^{26k+13}+43\cdot 97^{25k+13}+3211\cdot 97^{24k+12}+383\cdot 97^{23k+12}+3009\cdot 97^{22k+11}\\||+209\cdot 97^{21k+11}+1919\cdot 97^{20k+10}+321\cdot 97^{19k+10}+5803\cdot 97^{18k+9}+951\cdot 97^{17k+9}\\||+13077\cdot 97^{16k+8}+1637\cdot 97^{15k+8}+17887\cdot 97^{14k+7}+1837\cdot 97^{13k+7}+16823\cdot 97^{12k+6}\\||+1467\cdot 97^{11k+6}+11483\cdot 97^{10k+5}+857\cdot 97^{9k+5}+5721\cdot 97^{8k+4}+361\cdot 97^{7k+4}\\||+2007\cdot 97^{6k+3}+103\cdot 97^{5k+3}+449\cdot 97^{4k+2}+17\cdot 97^{3k+2}+49\cdot 97^{2k+1}\\||+97^{k+1}+1)\end{eqnarray}%%
Φ101(1012k+1)⋯Φ105(1052k+1)Φ101(1012k+1)⋯Φ105(1052k+1)
%%\begin{eqnarray}{\large\Phi}_{101}(101^{2k+1})|=|101^{200k+100}+101^{198k+99}+101^{196k+98}+101^{194k+97}+101^{192k+96}\\||+101^{190k+95}+101^{188k+94}+101^{186k+93}+101^{184k+92}+101^{182k+91}\\||+101^{180k+90}+101^{178k+89}+101^{176k+88}+101^{174k+87}+101^{172k+86}\\||+101^{170k+85}+101^{168k+84}+101^{166k+83}+101^{164k+82}+101^{162k+81}\\||+101^{160k+80}+101^{158k+79}+101^{156k+78}+101^{154k+77}+101^{152k+76}\\||+101^{150k+75}+101^{148k+74}+101^{146k+73}+101^{144k+72}+101^{142k+71}\\||+101^{140k+70}+101^{138k+69}+101^{136k+68}+101^{134k+67}+101^{132k+66}\\||+101^{130k+65}+101^{128k+64}+101^{126k+63}+101^{124k+62}+101^{122k+61}\\||+101^{120k+60}+101^{118k+59}+101^{116k+58}+101^{114k+57}+101^{112k+56}\\||+101^{110k+55}+101^{108k+54}+101^{106k+53}+101^{104k+52}+101^{102k+51}\\||+101^{100k+50}+101^{98k+49}+101^{96k+48}+101^{94k+47}+101^{92k+46}\\||+101^{90k+45}+101^{88k+44}+101^{86k+43}+101^{84k+42}+101^{82k+41}\\||+101^{80k+40}+101^{78k+39}+101^{76k+38}+101^{74k+37}+101^{72k+36}\\||+101^{70k+35}+101^{68k+34}+101^{66k+33}+101^{64k+32}+101^{62k+31}\\||+101^{60k+30}+101^{58k+29}+101^{56k+28}+101^{54k+27}+101^{52k+26}\\||+101^{50k+25}+101^{48k+24}+101^{46k+23}+101^{44k+22}+101^{42k+21}\\||+101^{40k+20}+101^{38k+19}+101^{36k+18}+101^{34k+17}+101^{32k+16}\\||+101^{30k+15}+101^{28k+14}+101^{26k+13}+101^{24k+12}+101^{22k+11}\\||+101^{20k+10}+101^{18k+9}+101^{16k+8}+101^{14k+7}+101^{12k+6}\\||+101^{10k+5}+101^{8k+4}+101^{6k+3}+101^{4k+2}+101^{2k+1}+1\\|=|(101^{100k+50}-101^{99k+50}+51\cdot 101^{98k+49}-17\cdot 101^{97k+49}+417\cdot 101^{96k+48}\\||-77\cdot 101^{95k+48}+1105\cdot 101^{94k+47}-119\cdot 101^{93k+47}+929\cdot 101^{92k+46}-45\cdot 101^{91k+46}\\||+119\cdot 101^{90k+45}-17\cdot 101^{89k+45}+471\cdot 101^{88k+44}-63\cdot 101^{87k+44}+459\cdot 101^{86k+43}\\||-17\cdot 101^{85k+43}+121\cdot 101^{84k+42}-33\cdot 101^{83k+42}+479\cdot 101^{82k+41}-35\cdot 101^{81k+41}\\||+147\cdot 101^{80k+40}-19\cdot 101^{79k+40}+503\cdot 101^{78k+39}-83\cdot 101^{77k+39}+1067\cdot 101^{76k+38}\\||-131\cdot 101^{75k+38}+1597\cdot 101^{74k+37}-167\cdot 101^{73k+37}+1457\cdot 101^{72k+36}-123\cdot 101^{71k+36}\\||+1331\cdot 101^{70k+35}-151\cdot 101^{69k+35}+1261\cdot 101^{68k+34}-53\cdot 101^{67k+34}+3\cdot 101^{66k+33}\\||-21\cdot 101^{65k+33}+853\cdot 101^{64k+32}-121\cdot 101^{63k+32}+1099\cdot 101^{62k+31}-89\cdot 101^{61k+31}\\||+867\cdot 101^{60k+30}-85\cdot 101^{59k+30}+767\cdot 101^{58k+29}-87\cdot 101^{57k+29}+1289\cdot 101^{56k+28}\\||-157\cdot 101^{55k+28}+1351\cdot 101^{54k+27}-99\cdot 101^{53k+27}+1245\cdot 101^{52k+26}-205\cdot 101^{51k+26}\\||+2523\cdot 101^{50k+25}-205\cdot 101^{49k+25}+1245\cdot 101^{48k+24}-99\cdot 101^{47k+24}+1351\cdot 101^{46k+23}\\||-157\cdot 101^{45k+23}+1289\cdot 101^{44k+22}-87\cdot 101^{43k+22}+767\cdot 101^{42k+21}-85\cdot 101^{41k+21}\\||+867\cdot 101^{40k+20}-89\cdot 101^{39k+20}+1099\cdot 101^{38k+19}-121\cdot 101^{37k+19}+853\cdot 101^{36k+18}\\||-21\cdot 101^{35k+18}+3\cdot 101^{34k+17}-53\cdot 101^{33k+17}+1261\cdot 101^{32k+16}-151\cdot 101^{31k+16}\\||+1331\cdot 101^{30k+15}-123\cdot 101^{29k+15}+1457\cdot 101^{28k+14}-167\cdot 101^{27k+14}+1597\cdot 101^{26k+13}\\||-131\cdot 101^{25k+13}+1067\cdot 101^{24k+12}-83\cdot 101^{23k+12}+503\cdot 101^{22k+11}-19\cdot 101^{21k+11}\\||+147\cdot 101^{20k+10}-35\cdot 101^{19k+10}+479\cdot 101^{18k+9}-33\cdot 101^{17k+9}+121\cdot 101^{16k+8}\\||-17\cdot 101^{15k+8}+459\cdot 101^{14k+7}-63\cdot 101^{13k+7}+471\cdot 101^{12k+6}-17\cdot 101^{11k+6}\\||+119\cdot 101^{10k+5}-45\cdot 101^{9k+5}+929\cdot 101^{8k+4}-119\cdot 101^{7k+4}+1105\cdot 101^{6k+3}\\||-77\cdot 101^{5k+3}+417\cdot 101^{4k+2}-17\cdot 101^{3k+2}+51\cdot 101^{2k+1}-101^{k+1}+1)\\|\times|(101^{100k+50}+101^{99k+50}+51\cdot 101^{98k+49}+17\cdot 101^{97k+49}+417\cdot 101^{96k+48}\\||+77\cdot 101^{95k+48}+1105\cdot 101^{94k+47}+119\cdot 101^{93k+47}+929\cdot 101^{92k+46}+45\cdot 101^{91k+46}\\||+119\cdot 101^{90k+45}+17\cdot 101^{89k+45}+471\cdot 101^{88k+44}+63\cdot 101^{87k+44}+459\cdot 101^{86k+43}\\||+17\cdot 101^{85k+43}+121\cdot 101^{84k+42}+33\cdot 101^{83k+42}+479\cdot 101^{82k+41}+35\cdot 101^{81k+41}\\||+147\cdot 101^{80k+40}+19\cdot 101^{79k+40}+503\cdot 101^{78k+39}+83\cdot 101^{77k+39}+1067\cdot 101^{76k+38}\\||+131\cdot 101^{75k+38}+1597\cdot 101^{74k+37}+167\cdot 101^{73k+37}+1457\cdot 101^{72k+36}+123\cdot 101^{71k+36}\\||+1331\cdot 101^{70k+35}+151\cdot 101^{69k+35}+1261\cdot 101^{68k+34}+53\cdot 101^{67k+34}+3\cdot 101^{66k+33}\\||+21\cdot 101^{65k+33}+853\cdot 101^{64k+32}+121\cdot 101^{63k+32}+1099\cdot 101^{62k+31}+89\cdot 101^{61k+31}\\||+867\cdot 101^{60k+30}+85\cdot 101^{59k+30}+767\cdot 101^{58k+29}+87\cdot 101^{57k+29}+1289\cdot 101^{56k+28}\\||+157\cdot 101^{55k+28}+1351\cdot 101^{54k+27}+99\cdot 101^{53k+27}+1245\cdot 101^{52k+26}+205\cdot 101^{51k+26}\\||+2523\cdot 101^{50k+25}+205\cdot 101^{49k+25}+1245\cdot 101^{48k+24}+99\cdot 101^{47k+24}+1351\cdot 101^{46k+23}\\||+157\cdot 101^{45k+23}+1289\cdot 101^{44k+22}+87\cdot 101^{43k+22}+767\cdot 101^{42k+21}+85\cdot 101^{41k+21}\\||+867\cdot 101^{40k+20}+89\cdot 101^{39k+20}+1099\cdot 101^{38k+19}+121\cdot 101^{37k+19}+853\cdot 101^{36k+18}\\||+21\cdot 101^{35k+18}+3\cdot 101^{34k+17}+53\cdot 101^{33k+17}+1261\cdot 101^{32k+16}+151\cdot 101^{31k+16}\\||+1331\cdot 101^{30k+15}+123\cdot 101^{29k+15}+1457\cdot 101^{28k+14}+167\cdot 101^{27k+14}+1597\cdot 101^{26k+13}\\||+131\cdot 101^{25k+13}+1067\cdot 101^{24k+12}+83\cdot 101^{23k+12}+503\cdot 101^{22k+11}+19\cdot 101^{21k+11}\\||+147\cdot 101^{20k+10}+35\cdot 101^{19k+10}+479\cdot 101^{18k+9}+33\cdot 101^{17k+9}+121\cdot 101^{16k+8}\\||+17\cdot 101^{15k+8}+459\cdot 101^{14k+7}+63\cdot 101^{13k+7}+471\cdot 101^{12k+6}+17\cdot 101^{11k+6}\\||+119\cdot 101^{10k+5}+45\cdot 101^{9k+5}+929\cdot 101^{8k+4}+119\cdot 101^{7k+4}+1105\cdot 101^{6k+3}\\||+77\cdot 101^{5k+3}+417\cdot 101^{4k+2}+17\cdot 101^{3k+2}+51\cdot 101^{2k+1}+101^{k+1}+1)\\{\large\Phi}_{204}(102^{2k+1})|=|102^{128k+64}+102^{124k+62}-102^{116k+58}-102^{112k+56}+102^{104k+52}\\||+102^{100k+50}-102^{92k+46}-102^{88k+44}+102^{80k+40}+102^{76k+38}\\||-102^{68k+34}-102^{64k+32}-102^{60k+30}+102^{52k+26}+102^{48k+24}\\||-102^{40k+20}-102^{36k+18}+102^{28k+14}+102^{24k+12}-102^{16k+8}\\||-102^{12k+6}+102^{4k+2}+1\\|=|(102^{64k+32}-102^{63k+32}+51\cdot 102^{62k+31}-17\cdot 102^{61k+31}+434\cdot 102^{60k+30}\\||-87\cdot 102^{59k+30}+1479\cdot 102^{58k+29}-209\cdot 102^{57k+29}+2569\cdot 102^{56k+28}-262\cdot 102^{55k+28}\\||+2244\cdot 102^{54k+27}-144\cdot 102^{53k+27}+551\cdot 102^{52k+26}+11\cdot 102^{51k+26}-255\cdot 102^{50k+25}\\||-17\cdot 102^{49k+25}+946\cdot 102^{48k+24}-164\cdot 102^{47k+24}+1887\cdot 102^{46k+23}-140\cdot 102^{45k+23}\\||+329\cdot 102^{44k+22}+96\cdot 102^{43k+22}-1938\cdot 102^{42k+21}+211\cdot 102^{41k+21}-1409\cdot 102^{40k+20}\\||+2\cdot 102^{39k+20}+1479\cdot 102^{38k+19}-243\cdot 102^{37k+19}+2486\cdot 102^{36k+18}-156\cdot 102^{35k+18}\\||+153\cdot 102^{34k+17}+110\cdot 102^{33k+17}-1613\cdot 102^{32k+16}+110\cdot 102^{31k+16}+153\cdot 102^{30k+15}\\||-156\cdot 102^{29k+15}+2486\cdot 102^{28k+14}-243\cdot 102^{27k+14}+1479\cdot 102^{26k+13}+2\cdot 102^{25k+13}\\||-1409\cdot 102^{24k+12}+211\cdot 102^{23k+12}-1938\cdot 102^{22k+11}+96\cdot 102^{21k+11}+329\cdot 102^{20k+10}\\||-140\cdot 102^{19k+10}+1887\cdot 102^{18k+9}-164\cdot 102^{17k+9}+946\cdot 102^{16k+8}-17\cdot 102^{15k+8}\\||-255\cdot 102^{14k+7}+11\cdot 102^{13k+7}+551\cdot 102^{12k+6}-144\cdot 102^{11k+6}+2244\cdot 102^{10k+5}\\||-262\cdot 102^{9k+5}+2569\cdot 102^{8k+4}-209\cdot 102^{7k+4}+1479\cdot 102^{6k+3}-87\cdot 102^{5k+3}\\||+434\cdot 102^{4k+2}-17\cdot 102^{3k+2}+51\cdot 102^{2k+1}-102^{k+1}+1)\\|\times|(102^{64k+32}+102^{63k+32}+51\cdot 102^{62k+31}+17\cdot 102^{61k+31}+434\cdot 102^{60k+30}\\||+87\cdot 102^{59k+30}+1479\cdot 102^{58k+29}+209\cdot 102^{57k+29}+2569\cdot 102^{56k+28}+262\cdot 102^{55k+28}\\||+2244\cdot 102^{54k+27}+144\cdot 102^{53k+27}+551\cdot 102^{52k+26}-11\cdot 102^{51k+26}-255\cdot 102^{50k+25}\\||+17\cdot 102^{49k+25}+946\cdot 102^{48k+24}+164\cdot 102^{47k+24}+1887\cdot 102^{46k+23}+140\cdot 102^{45k+23}\\||+329\cdot 102^{44k+22}-96\cdot 102^{43k+22}-1938\cdot 102^{42k+21}-211\cdot 102^{41k+21}-1409\cdot 102^{40k+20}\\||-2\cdot 102^{39k+20}+1479\cdot 102^{38k+19}+243\cdot 102^{37k+19}+2486\cdot 102^{36k+18}+156\cdot 102^{35k+18}\\||+153\cdot 102^{34k+17}-110\cdot 102^{33k+17}-1613\cdot 102^{32k+16}-110\cdot 102^{31k+16}+153\cdot 102^{30k+15}\\||+156\cdot 102^{29k+15}+2486\cdot 102^{28k+14}+243\cdot 102^{27k+14}+1479\cdot 102^{26k+13}-2\cdot 102^{25k+13}\\||-1409\cdot 102^{24k+12}-211\cdot 102^{23k+12}-1938\cdot 102^{22k+11}-96\cdot 102^{21k+11}+329\cdot 102^{20k+10}\\||+140\cdot 102^{19k+10}+1887\cdot 102^{18k+9}+164\cdot 102^{17k+9}+946\cdot 102^{16k+8}+17\cdot 102^{15k+8}\\||-255\cdot 102^{14k+7}-11\cdot 102^{13k+7}+551\cdot 102^{12k+6}+144\cdot 102^{11k+6}+2244\cdot 102^{10k+5}\\||+262\cdot 102^{9k+5}+2569\cdot 102^{8k+4}+209\cdot 102^{7k+4}+1479\cdot 102^{6k+3}+87\cdot 102^{5k+3}\\||+434\cdot 102^{4k+2}+17\cdot 102^{3k+2}+51\cdot 102^{2k+1}+102^{k+1}+1)\\{\large\Phi}_{206}(103^{2k+1})|=|103^{204k+102}-103^{202k+101}+103^{200k+100}-103^{198k+99}+103^{196k+98}\\||-103^{194k+97}+103^{192k+96}-103^{190k+95}+103^{188k+94}-103^{186k+93}\\||+103^{184k+92}-103^{182k+91}+103^{180k+90}-103^{178k+89}+103^{176k+88}\\||-103^{174k+87}+103^{172k+86}-103^{170k+85}+103^{168k+84}-103^{166k+83}\\||+103^{164k+82}-103^{162k+81}+103^{160k+80}-103^{158k+79}+103^{156k+78}\\||-103^{154k+77}+103^{152k+76}-103^{150k+75}+103^{148k+74}-103^{146k+73}\\||+103^{144k+72}-103^{142k+71}+103^{140k+70}-103^{138k+69}+103^{136k+68}\\||-103^{134k+67}+103^{132k+66}-103^{130k+65}+103^{128k+64}-103^{126k+63}\\||+103^{124k+62}-103^{122k+61}+103^{120k+60}-103^{118k+59}+103^{116k+58}\\||-103^{114k+57}+103^{112k+56}-103^{110k+55}+103^{108k+54}-103^{106k+53}\\||+103^{104k+52}-103^{102k+51}+103^{100k+50}-103^{98k+49}+103^{96k+48}\\||-103^{94k+47}+103^{92k+46}-103^{90k+45}+103^{88k+44}-103^{86k+43}\\||+103^{84k+42}-103^{82k+41}+103^{80k+40}-103^{78k+39}+103^{76k+38}\\||-103^{74k+37}+103^{72k+36}-103^{70k+35}+103^{68k+34}-103^{66k+33}\\||+103^{64k+32}-103^{62k+31}+103^{60k+30}-103^{58k+29}+103^{56k+28}\\||-103^{54k+27}+103^{52k+26}-103^{50k+25}+103^{48k+24}-103^{46k+23}\\||+103^{44k+22}-103^{42k+21}+103^{40k+20}-103^{38k+19}+103^{36k+18}\\||-103^{34k+17}+103^{32k+16}-103^{30k+15}+103^{28k+14}-103^{26k+13}\\||+103^{24k+12}-103^{22k+11}+103^{20k+10}-103^{18k+9}+103^{16k+8}\\||-103^{14k+7}+103^{12k+6}-103^{10k+5}+103^{8k+4}-103^{6k+3}\\||+103^{4k+2}-103^{2k+1}+1\\|=|(103^{102k+51}-103^{101k+51}+51\cdot 103^{100k+50}-17\cdot 103^{99k+50}+451\cdot 103^{98k+49}\\||-97\cdot 103^{97k+49}+1873\cdot 103^{96k+48}-313\cdot 103^{95k+48}+4863\cdot 103^{94k+47}-667\cdot 103^{93k+47}\\||+8591\cdot 103^{92k+46}-977\cdot 103^{91k+46}+10313\cdot 103^{90k+45}-933\cdot 103^{89k+45}+7323\cdot 103^{88k+44}\\||-411\cdot 103^{87k+44}+673\cdot 103^{86k+43}+223\cdot 103^{85k+43}-3697\cdot 103^{84k+42}+289\cdot 103^{83k+42}\\||+211\cdot 103^{82k+41}-517\cdot 103^{81k+41}+11049\cdot 103^{80k+40}-1585\cdot 103^{79k+40}+18805\cdot 103^{78k+39}\\||-1781\cdot 103^{77k+39}+13567\cdot 103^{76k+38}-585\cdot 103^{75k+38}-3257\cdot 103^{74k+37}+1173\cdot 103^{73k+37}\\||-17867\cdot 103^{72k+36}+1925\cdot 103^{71k+36}-16279\cdot 103^{70k+35}+851\cdot 103^{69k+35}+1771\cdot 103^{68k+34}\\||-1245\cdot 103^{67k+34}+21519\cdot 103^{66k+33}-2605\cdot 103^{65k+33}+26327\cdot 103^{64k+32}-2097\cdot 103^{63k+32}\\||+12521\cdot 103^{62k+31}-205\cdot 103^{61k+31}-7659\cdot 103^{60k+30}+1429\cdot 103^{59k+30}-16905\cdot 103^{58k+29}\\||+1407\cdot 103^{57k+29}-7101\cdot 103^{56k+28}-317\cdot 103^{55k+28}+14633\cdot 103^{54k+27}-2453\cdot 103^{53k+27}\\||+31987\cdot 103^{52k+26}-3401\cdot 103^{51k+26}+31987\cdot 103^{50k+25}-2453\cdot 103^{49k+25}+14633\cdot 103^{48k+24}\\||-317\cdot 103^{47k+24}-7101\cdot 103^{46k+23}+1407\cdot 103^{45k+23}-16905\cdot 103^{44k+22}+1429\cdot 103^{43k+22}\\||-7659\cdot 103^{42k+21}-205\cdot 103^{41k+21}+12521\cdot 103^{40k+20}-2097\cdot 103^{39k+20}+26327\cdot 103^{38k+19}\\||-2605\cdot 103^{37k+19}+21519\cdot 103^{36k+18}-1245\cdot 103^{35k+18}+1771\cdot 103^{34k+17}+851\cdot 103^{33k+17}\\||-16279\cdot 103^{32k+16}+1925\cdot 103^{31k+16}-17867\cdot 103^{30k+15}+1173\cdot 103^{29k+15}-3257\cdot 103^{28k+14}\\||-585\cdot 103^{27k+14}+13567\cdot 103^{26k+13}-1781\cdot 103^{25k+13}+18805\cdot 103^{24k+12}-1585\cdot 103^{23k+12}\\||+11049\cdot 103^{22k+11}-517\cdot 103^{21k+11}+211\cdot 103^{20k+10}+289\cdot 103^{19k+10}-3697\cdot 103^{18k+9}\\||+223\cdot 103^{17k+9}+673\cdot 103^{16k+8}-411\cdot 103^{15k+8}+7323\cdot 103^{14k+7}-933\cdot 103^{13k+7}\\||+10313\cdot 103^{12k+6}-977\cdot 103^{11k+6}+8591\cdot 103^{10k+5}-667\cdot 103^{9k+5}+4863\cdot 103^{8k+4}\\||-313\cdot 103^{7k+4}+1873\cdot 103^{6k+3}-97\cdot 103^{5k+3}+451\cdot 103^{4k+2}-17\cdot 103^{3k+2}\\||+51\cdot 103^{2k+1}-103^{k+1}+1)\\|\times|(103^{102k+51}+103^{101k+51}+51\cdot 103^{100k+50}+17\cdot 103^{99k+50}+451\cdot 103^{98k+49}\\||+97\cdot 103^{97k+49}+1873\cdot 103^{96k+48}+313\cdot 103^{95k+48}+4863\cdot 103^{94k+47}+667\cdot 103^{93k+47}\\||+8591\cdot 103^{92k+46}+977\cdot 103^{91k+46}+10313\cdot 103^{90k+45}+933\cdot 103^{89k+45}+7323\cdot 103^{88k+44}\\||+411\cdot 103^{87k+44}+673\cdot 103^{86k+43}-223\cdot 103^{85k+43}-3697\cdot 103^{84k+42}-289\cdot 103^{83k+42}\\||+211\cdot 103^{82k+41}+517\cdot 103^{81k+41}+11049\cdot 103^{80k+40}+1585\cdot 103^{79k+40}+18805\cdot 103^{78k+39}\\||+1781\cdot 103^{77k+39}+13567\cdot 103^{76k+38}+585\cdot 103^{75k+38}-3257\cdot 103^{74k+37}-1173\cdot 103^{73k+37}\\||-17867\cdot 103^{72k+36}-1925\cdot 103^{71k+36}-16279\cdot 103^{70k+35}-851\cdot 103^{69k+35}+1771\cdot 103^{68k+34}\\||+1245\cdot 103^{67k+34}+21519\cdot 103^{66k+33}+2605\cdot 103^{65k+33}+26327\cdot 103^{64k+32}+2097\cdot 103^{63k+32}\\||+12521\cdot 103^{62k+31}+205\cdot 103^{61k+31}-7659\cdot 103^{60k+30}-1429\cdot 103^{59k+30}-16905\cdot 103^{58k+29}\\||-1407\cdot 103^{57k+29}-7101\cdot 103^{56k+28}+317\cdot 103^{55k+28}+14633\cdot 103^{54k+27}+2453\cdot 103^{53k+27}\\||+31987\cdot 103^{52k+26}+3401\cdot 103^{51k+26}+31987\cdot 103^{50k+25}+2453\cdot 103^{49k+25}+14633\cdot 103^{48k+24}\\||+317\cdot 103^{47k+24}-7101\cdot 103^{46k+23}-1407\cdot 103^{45k+23}-16905\cdot 103^{44k+22}-1429\cdot 103^{43k+22}\\||-7659\cdot 103^{42k+21}+205\cdot 103^{41k+21}+12521\cdot 103^{40k+20}+2097\cdot 103^{39k+20}+26327\cdot 103^{38k+19}\\||+2605\cdot 103^{37k+19}+21519\cdot 103^{36k+18}+1245\cdot 103^{35k+18}+1771\cdot 103^{34k+17}-851\cdot 103^{33k+17}\\||-16279\cdot 103^{32k+16}-1925\cdot 103^{31k+16}-17867\cdot 103^{30k+15}-1173\cdot 103^{29k+15}-3257\cdot 103^{28k+14}\\||+585\cdot 103^{27k+14}+13567\cdot 103^{26k+13}+1781\cdot 103^{25k+13}+18805\cdot 103^{24k+12}+1585\cdot 103^{23k+12}\\||+11049\cdot 103^{22k+11}+517\cdot 103^{21k+11}+211\cdot 103^{20k+10}-289\cdot 103^{19k+10}-3697\cdot 103^{18k+9}\\||-223\cdot 103^{17k+9}+673\cdot 103^{16k+8}+411\cdot 103^{15k+8}+7323\cdot 103^{14k+7}+933\cdot 103^{13k+7}\\||+10313\cdot 103^{12k+6}+977\cdot 103^{11k+6}+8591\cdot 103^{10k+5}+667\cdot 103^{9k+5}+4863\cdot 103^{8k+4}\\||+313\cdot 103^{7k+4}+1873\cdot 103^{6k+3}+97\cdot 103^{5k+3}+451\cdot 103^{4k+2}+17\cdot 103^{3k+2}\\||+51\cdot 103^{2k+1}+103^{k+1}+1)\\{\large\Phi}_{105}(105^{2k+1})|=|105^{96k+48}+105^{94k+47}+105^{92k+46}-105^{86k+43}-105^{84k+42}\\||-2\cdot 105^{82k+41}-105^{80k+40}-105^{78k+39}+105^{72k+36}+105^{70k+35}\\||+105^{68k+34}+105^{66k+33}+105^{64k+32}+105^{62k+31}-105^{56k+28}\\||-105^{52k+26}-105^{48k+24}-105^{44k+22}-105^{40k+20}+105^{34k+17}\\||+105^{32k+16}+105^{30k+15}+105^{28k+14}+105^{26k+13}+105^{24k+12}\\||-105^{18k+9}-105^{16k+8}-2\cdot 105^{14k+7}-105^{12k+6}-105^{10k+5}\\||+105^{4k+2}+105^{2k+1}+1\\|=|(105^{48k+24}-105^{47k+24}+53\cdot 105^{46k+23}-18\cdot 105^{45k+23}+486\cdot 105^{44k+22}\\||-101\cdot 105^{43k+22}+1857\cdot 105^{42k+21}-282\cdot 105^{41k+21}+3981\cdot 105^{40k+20}-481\cdot 105^{39k+20}\\||+5542\cdot 105^{38k+19}-556\cdot 105^{37k+19}+5363\cdot 105^{36k+18}-447\cdot 105^{35k+18}+3421\cdot 105^{34k+17}\\||-191\cdot 105^{33k+17}+269\cdot 105^{32k+16}+149\cdot 105^{31k+16}-3264\cdot 105^{30k+15}+464\cdot 105^{29k+15}\\||-5849\cdot 105^{28k+14}+634\cdot 105^{27k+14}-6769\cdot 105^{26k+13}+666\cdot 105^{25k+13}-6821\cdot 105^{24k+12}\\||+666\cdot 105^{23k+12}-6769\cdot 105^{22k+11}+634\cdot 105^{21k+11}-5849\cdot 105^{20k+10}+464\cdot 105^{19k+10}\\||-3264\cdot 105^{18k+9}+149\cdot 105^{17k+9}+269\cdot 105^{16k+8}-191\cdot 105^{15k+8}+3421\cdot 105^{14k+7}\\||-447\cdot 105^{13k+7}+5363\cdot 105^{12k+6}-556\cdot 105^{11k+6}+5542\cdot 105^{10k+5}-481\cdot 105^{9k+5}\\||+3981\cdot 105^{8k+4}-282\cdot 105^{7k+4}+1857\cdot 105^{6k+3}-101\cdot 105^{5k+3}+486\cdot 105^{4k+2}\\||-18\cdot 105^{3k+2}+53\cdot 105^{2k+1}-105^{k+1}+1)\\|\times|(105^{48k+24}+105^{47k+24}+53\cdot 105^{46k+23}+18\cdot 105^{45k+23}+486\cdot 105^{44k+22}\\||+101\cdot 105^{43k+22}+1857\cdot 105^{42k+21}+282\cdot 105^{41k+21}+3981\cdot 105^{40k+20}+481\cdot 105^{39k+20}\\||+5542\cdot 105^{38k+19}+556\cdot 105^{37k+19}+5363\cdot 105^{36k+18}+447\cdot 105^{35k+18}+3421\cdot 105^{34k+17}\\||+191\cdot 105^{33k+17}+269\cdot 105^{32k+16}-149\cdot 105^{31k+16}-3264\cdot 105^{30k+15}-464\cdot 105^{29k+15}\\||-5849\cdot 105^{28k+14}-634\cdot 105^{27k+14}-6769\cdot 105^{26k+13}-666\cdot 105^{25k+13}-6821\cdot 105^{24k+12}\\||-666\cdot 105^{23k+12}-6769\cdot 105^{22k+11}-634\cdot 105^{21k+11}-5849\cdot 105^{20k+10}-464\cdot 105^{19k+10}\\||-3264\cdot 105^{18k+9}-149\cdot 105^{17k+9}+269\cdot 105^{16k+8}+191\cdot 105^{15k+8}+3421\cdot 105^{14k+7}\\||+447\cdot 105^{13k+7}+5363\cdot 105^{12k+6}+556\cdot 105^{11k+6}+5542\cdot 105^{10k+5}+481\cdot 105^{9k+5}\\||+3981\cdot 105^{8k+4}+282\cdot 105^{7k+4}+1857\cdot 105^{6k+3}+101\cdot 105^{5k+3}+486\cdot 105^{4k+2}\\||+18\cdot 105^{3k+2}+53\cdot 105^{2k+1}+105^{k+1}+1)\end{eqnarray}%%
Φ212(1062k+1)⋯Φ220(1102k+1)Φ212(1062k+1)⋯Φ220(1102k+1)
%%\begin{eqnarray}{\large\Phi}_{212}(106^{2k+1})|=|106^{208k+104}-106^{204k+102}+106^{200k+100}-106^{196k+98}+106^{192k+96}\\||-106^{188k+94}+106^{184k+92}-106^{180k+90}+106^{176k+88}-106^{172k+86}\\||+106^{168k+84}-106^{164k+82}+106^{160k+80}-106^{156k+78}+106^{152k+76}\\||-106^{148k+74}+106^{144k+72}-106^{140k+70}+106^{136k+68}-106^{132k+66}\\||+106^{128k+64}-106^{124k+62}+106^{120k+60}-106^{116k+58}+106^{112k+56}\\||-106^{108k+54}+106^{104k+52}-106^{100k+50}+106^{96k+48}-106^{92k+46}\\||+106^{88k+44}-106^{84k+42}+106^{80k+40}-106^{76k+38}+106^{72k+36}\\||-106^{68k+34}+106^{64k+32}-106^{60k+30}+106^{56k+28}-106^{52k+26}\\||+106^{48k+24}-106^{44k+22}+106^{40k+20}-106^{36k+18}+106^{32k+16}\\||-106^{28k+14}+106^{24k+12}-106^{20k+10}+106^{16k+8}-106^{12k+6}\\||+106^{8k+4}-106^{4k+2}+1\\|=|(106^{104k+52}-106^{103k+52}+53\cdot 106^{102k+51}-18\cdot 106^{101k+51}+503\cdot 106^{100k+50}\\||-111\cdot 106^{99k+50}+2279\cdot 106^{98k+49}-400\cdot 106^{97k+49}+6897\cdot 106^{96k+48}-1057\cdot 106^{95k+48}\\||+16377\cdot 106^{94k+47}-2304\cdot 106^{93k+47}+33287\cdot 106^{92k+46}-4415\cdot 106^{91k+46}+60579\cdot 106^{90k+45}\\||-7668\cdot 106^{89k+45}+100757\cdot 106^{88k+44}-12249\cdot 106^{87k+44}+155025\cdot 106^{86k+43}-18206\cdot 106^{85k+43}\\||+223243\cdot 106^{84k+42}-25471\cdot 106^{83k+42}+304167\cdot 106^{82k+41}-33866\cdot 106^{81k+41}+395325\cdot 106^{80k+40}\\||-43091\cdot 106^{79k+40}+493165\cdot 106^{78k+39}-52784\cdot 106^{77k+39}+594147\cdot 106^{76k+38}-62651\cdot 106^{75k+38}\\||+695943\cdot 106^{74k+37}-72534\cdot 106^{73k+37}+797485\cdot 106^{72k+36}-82365\cdot 106^{71k+36}+898297\cdot 106^{70k+35}\\||-92114\cdot 106^{69k+35}+998243\cdot 106^{68k+34}-101785\cdot 106^{67k+34}+1097471\cdot 106^{66k+33}-111384\cdot 106^{65k+33}\\||+1195649\cdot 106^{64k+32}-120807\cdot 106^{63k+32}+1290709\cdot 106^{62k+31}-129750\cdot 106^{61k+31}+1378615\cdot 106^{60k+30}\\||-137763\cdot 106^{59k+30}+1454479\cdot 106^{58k+29}-144372\cdot 106^{57k+29}+1513561\cdot 106^{56k+28}-149133\cdot 106^{55k+28}\\||+1551469\cdot 106^{54k+27}-151646\cdot 106^{53k+27}+1564599\cdot 106^{52k+26}-151646\cdot 106^{51k+26}+1551469\cdot 106^{50k+25}\\||-149133\cdot 106^{49k+25}+1513561\cdot 106^{48k+24}-144372\cdot 106^{47k+24}+1454479\cdot 106^{46k+23}-137763\cdot 106^{45k+23}\\||+1378615\cdot 106^{44k+22}-129750\cdot 106^{43k+22}+1290709\cdot 106^{42k+21}-120807\cdot 106^{41k+21}+1195649\cdot 106^{40k+20}\\||-111384\cdot 106^{39k+20}+1097471\cdot 106^{38k+19}-101785\cdot 106^{37k+19}+998243\cdot 106^{36k+18}-92114\cdot 106^{35k+18}\\||+898297\cdot 106^{34k+17}-82365\cdot 106^{33k+17}+797485\cdot 106^{32k+16}-72534\cdot 106^{31k+16}+695943\cdot 106^{30k+15}\\||-62651\cdot 106^{29k+15}+594147\cdot 106^{28k+14}-52784\cdot 106^{27k+14}+493165\cdot 106^{26k+13}-43091\cdot 106^{25k+13}\\||+395325\cdot 106^{24k+12}-33866\cdot 106^{23k+12}+304167\cdot 106^{22k+11}-25471\cdot 106^{21k+11}+223243\cdot 106^{20k+10}\\||-18206\cdot 106^{19k+10}+155025\cdot 106^{18k+9}-12249\cdot 106^{17k+9}+100757\cdot 106^{16k+8}-7668\cdot 106^{15k+8}\\||+60579\cdot 106^{14k+7}-4415\cdot 106^{13k+7}+33287\cdot 106^{12k+6}-2304\cdot 106^{11k+6}+16377\cdot 106^{10k+5}\\||-1057\cdot 106^{9k+5}+6897\cdot 106^{8k+4}-400\cdot 106^{7k+4}+2279\cdot 106^{6k+3}-111\cdot 106^{5k+3}\\||+503\cdot 106^{4k+2}-18\cdot 106^{3k+2}+53\cdot 106^{2k+1}-106^{k+1}+1)\\|\times|(106^{104k+52}+106^{103k+52}+53\cdot 106^{102k+51}+18\cdot 106^{101k+51}+503\cdot 106^{100k+50}\\||+111\cdot 106^{99k+50}+2279\cdot 106^{98k+49}+400\cdot 106^{97k+49}+6897\cdot 106^{96k+48}+1057\cdot 106^{95k+48}\\||+16377\cdot 106^{94k+47}+2304\cdot 106^{93k+47}+33287\cdot 106^{92k+46}+4415\cdot 106^{91k+46}+60579\cdot 106^{90k+45}\\||+7668\cdot 106^{89k+45}+100757\cdot 106^{88k+44}+12249\cdot 106^{87k+44}+155025\cdot 106^{86k+43}+18206\cdot 106^{85k+43}\\||+223243\cdot 106^{84k+42}+25471\cdot 106^{83k+42}+304167\cdot 106^{82k+41}+33866\cdot 106^{81k+41}+395325\cdot 106^{80k+40}\\||+43091\cdot 106^{79k+40}+493165\cdot 106^{78k+39}+52784\cdot 106^{77k+39}+594147\cdot 106^{76k+38}+62651\cdot 106^{75k+38}\\||+695943\cdot 106^{74k+37}+72534\cdot 106^{73k+37}+797485\cdot 106^{72k+36}+82365\cdot 106^{71k+36}+898297\cdot 106^{70k+35}\\||+92114\cdot 106^{69k+35}+998243\cdot 106^{68k+34}+101785\cdot 106^{67k+34}+1097471\cdot 106^{66k+33}+111384\cdot 106^{65k+33}\\||+1195649\cdot 106^{64k+32}+120807\cdot 106^{63k+32}+1290709\cdot 106^{62k+31}+129750\cdot 106^{61k+31}+1378615\cdot 106^{60k+30}\\||+137763\cdot 106^{59k+30}+1454479\cdot 106^{58k+29}+144372\cdot 106^{57k+29}+1513561\cdot 106^{56k+28}+149133\cdot 106^{55k+28}\\||+1551469\cdot 106^{54k+27}+151646\cdot 106^{53k+27}+1564599\cdot 106^{52k+26}+151646\cdot 106^{51k+26}+1551469\cdot 106^{50k+25}\\||+149133\cdot 106^{49k+25}+1513561\cdot 106^{48k+24}+144372\cdot 106^{47k+24}+1454479\cdot 106^{46k+23}+137763\cdot 106^{45k+23}\\||+1378615\cdot 106^{44k+22}+129750\cdot 106^{43k+22}+1290709\cdot 106^{42k+21}+120807\cdot 106^{41k+21}+1195649\cdot 106^{40k+20}\\||+111384\cdot 106^{39k+20}+1097471\cdot 106^{38k+19}+101785\cdot 106^{37k+19}+998243\cdot 106^{36k+18}+92114\cdot 106^{35k+18}\\||+898297\cdot 106^{34k+17}+82365\cdot 106^{33k+17}+797485\cdot 106^{32k+16}+72534\cdot 106^{31k+16}+695943\cdot 106^{30k+15}\\||+62651\cdot 106^{29k+15}+594147\cdot 106^{28k+14}+52784\cdot 106^{27k+14}+493165\cdot 106^{26k+13}+43091\cdot 106^{25k+13}\\||+395325\cdot 106^{24k+12}+33866\cdot 106^{23k+12}+304167\cdot 106^{22k+11}+25471\cdot 106^{21k+11}+223243\cdot 106^{20k+10}\\||+18206\cdot 106^{19k+10}+155025\cdot 106^{18k+9}+12249\cdot 106^{17k+9}+100757\cdot 106^{16k+8}+7668\cdot 106^{15k+8}\\||+60579\cdot 106^{14k+7}+4415\cdot 106^{13k+7}+33287\cdot 106^{12k+6}+2304\cdot 106^{11k+6}+16377\cdot 106^{10k+5}\\||+1057\cdot 106^{9k+5}+6897\cdot 106^{8k+4}+400\cdot 106^{7k+4}+2279\cdot 106^{6k+3}+111\cdot 106^{5k+3}\\||+503\cdot 106^{4k+2}+18\cdot 106^{3k+2}+53\cdot 106^{2k+1}+106^{k+1}+1)\\{\large\Phi}_{214}(107^{2k+1})|=|107^{212k+106}-107^{210k+105}+107^{208k+104}-107^{206k+103}+107^{204k+102}\\||-107^{202k+101}+107^{200k+100}-107^{198k+99}+107^{196k+98}-107^{194k+97}\\||+107^{192k+96}-107^{190k+95}+107^{188k+94}-107^{186k+93}+107^{184k+92}\\||-107^{182k+91}+107^{180k+90}-107^{178k+89}+107^{176k+88}-107^{174k+87}\\||+107^{172k+86}-107^{170k+85}+107^{168k+84}-107^{166k+83}+107^{164k+82}\\||-107^{162k+81}+107^{160k+80}-107^{158k+79}+107^{156k+78}-107^{154k+77}\\||+107^{152k+76}-107^{150k+75}+107^{148k+74}-107^{146k+73}+107^{144k+72}\\||-107^{142k+71}+107^{140k+70}-107^{138k+69}+107^{136k+68}-107^{134k+67}\\||+107^{132k+66}-107^{130k+65}+107^{128k+64}-107^{126k+63}+107^{124k+62}\\||-107^{122k+61}+107^{120k+60}-107^{118k+59}+107^{116k+58}-107^{114k+57}\\||+107^{112k+56}-107^{110k+55}+107^{108k+54}-107^{106k+53}+107^{104k+52}\\||-107^{102k+51}+107^{100k+50}-107^{98k+49}+107^{96k+48}-107^{94k+47}\\||+107^{92k+46}-107^{90k+45}+107^{88k+44}-107^{86k+43}+107^{84k+42}\\||-107^{82k+41}+107^{80k+40}-107^{78k+39}+107^{76k+38}-107^{74k+37}\\||+107^{72k+36}-107^{70k+35}+107^{68k+34}-107^{66k+33}+107^{64k+32}\\||-107^{62k+31}+107^{60k+30}-107^{58k+29}+107^{56k+28}-107^{54k+27}\\||+107^{52k+26}-107^{50k+25}+107^{48k+24}-107^{46k+23}+107^{44k+22}\\||-107^{42k+21}+107^{40k+20}-107^{38k+19}+107^{36k+18}-107^{34k+17}\\||+107^{32k+16}-107^{30k+15}+107^{28k+14}-107^{26k+13}+107^{24k+12}\\||-107^{22k+11}+107^{20k+10}-107^{18k+9}+107^{16k+8}-107^{14k+7}\\||+107^{12k+6}-107^{10k+5}+107^{8k+4}-107^{6k+3}+107^{4k+2}\\||-107^{2k+1}+1\\|=|(107^{106k+53}-107^{105k+53}+53\cdot 107^{104k+52}-17\cdot 107^{103k+52}+415\cdot 107^{102k+51}\\||-69\cdot 107^{101k+51}+849\cdot 107^{100k+50}-47\cdot 107^{99k+50}-569\cdot 107^{98k+49}+197\cdot 107^{97k+49}\\||-3051\cdot 107^{96k+48}+243\cdot 107^{95k+48}+95\cdot 107^{94k+47}-383\cdot 107^{93k+47}+6905\cdot 107^{92k+46}\\||-623\cdot 107^{91k+46}+1585\cdot 107^{90k+45}+565\cdot 107^{89k+45}-11549\cdot 107^{88k+44}+1077\cdot 107^{87k+44}\\||-3329\cdot 107^{86k+43}-801\cdot 107^{85k+43}+16577\cdot 107^{84k+42}-1469\cdot 107^{83k+42}+3289\cdot 107^{82k+41}\\||+1235\cdot 107^{81k+41}-22583\cdot 107^{80k+40}+1775\cdot 107^{79k+40}-919\cdot 107^{78k+39}-1893\cdot 107^{77k+39}\\||+29411\cdot 107^{76k+38}-1973\cdot 107^{75k+38}-3591\cdot 107^{74k+37}+2703\cdot 107^{73k+37}-36177\cdot 107^{72k+36}\\||+2033\cdot 107^{71k+36}+9501\cdot 107^{70k+35}-3509\cdot 107^{69k+35}+41177\cdot 107^{68k+34}-1865\cdot 107^{67k+34}\\||-16637\cdot 107^{66k+33}+4225\cdot 107^{65k+33}-43539\cdot 107^{64k+32}+1433\cdot 107^{63k+32}+24965\cdot 107^{62k+31}\\||-4859\cdot 107^{61k+31}+43967\cdot 107^{60k+30}-871\cdot 107^{59k+30}-32915\cdot 107^{58k+29}+5315\cdot 107^{57k+29}\\||-42547\cdot 107^{56k+28}+281\cdot 107^{55k+28}+39097\cdot 107^{54k+27}-5497\cdot 107^{53k+27}+39097\cdot 107^{52k+26}\\||+281\cdot 107^{51k+26}-42547\cdot 107^{50k+25}+5315\cdot 107^{49k+25}-32915\cdot 107^{48k+24}-871\cdot 107^{47k+24}\\||+43967\cdot 107^{46k+23}-4859\cdot 107^{45k+23}+24965\cdot 107^{44k+22}+1433\cdot 107^{43k+22}-43539\cdot 107^{42k+21}\\||+4225\cdot 107^{41k+21}-16637\cdot 107^{40k+20}-1865\cdot 107^{39k+20}+41177\cdot 107^{38k+19}-3509\cdot 107^{37k+19}\\||+9501\cdot 107^{36k+18}+2033\cdot 107^{35k+18}-36177\cdot 107^{34k+17}+2703\cdot 107^{33k+17}-3591\cdot 107^{32k+16}\\||-1973\cdot 107^{31k+16}+29411\cdot 107^{30k+15}-1893\cdot 107^{29k+15}-919\cdot 107^{28k+14}+1775\cdot 107^{27k+14}\\||-22583\cdot 107^{26k+13}+1235\cdot 107^{25k+13}+3289\cdot 107^{24k+12}-1469\cdot 107^{23k+12}+16577\cdot 107^{22k+11}\\||-801\cdot 107^{21k+11}-3329\cdot 107^{20k+10}+1077\cdot 107^{19k+10}-11549\cdot 107^{18k+9}+565\cdot 107^{17k+9}\\||+1585\cdot 107^{16k+8}-623\cdot 107^{15k+8}+6905\cdot 107^{14k+7}-383\cdot 107^{13k+7}+95\cdot 107^{12k+6}\\||+243\cdot 107^{11k+6}-3051\cdot 107^{10k+5}+197\cdot 107^{9k+5}-569\cdot 107^{8k+4}-47\cdot 107^{7k+4}\\||+849\cdot 107^{6k+3}-69\cdot 107^{5k+3}+415\cdot 107^{4k+2}-17\cdot 107^{3k+2}+53\cdot 107^{2k+1}\\||-107^{k+1}+1)\\|\times|(107^{106k+53}+107^{105k+53}+53\cdot 107^{104k+52}+17\cdot 107^{103k+52}+415\cdot 107^{102k+51}\\||+69\cdot 107^{101k+51}+849\cdot 107^{100k+50}+47\cdot 107^{99k+50}-569\cdot 107^{98k+49}-197\cdot 107^{97k+49}\\||-3051\cdot 107^{96k+48}-243\cdot 107^{95k+48}+95\cdot 107^{94k+47}+383\cdot 107^{93k+47}+6905\cdot 107^{92k+46}\\||+623\cdot 107^{91k+46}+1585\cdot 107^{90k+45}-565\cdot 107^{89k+45}-11549\cdot 107^{88k+44}-1077\cdot 107^{87k+44}\\||-3329\cdot 107^{86k+43}+801\cdot 107^{85k+43}+16577\cdot 107^{84k+42}+1469\cdot 107^{83k+42}+3289\cdot 107^{82k+41}\\||-1235\cdot 107^{81k+41}-22583\cdot 107^{80k+40}-1775\cdot 107^{79k+40}-919\cdot 107^{78k+39}+1893\cdot 107^{77k+39}\\||+29411\cdot 107^{76k+38}+1973\cdot 107^{75k+38}-3591\cdot 107^{74k+37}-2703\cdot 107^{73k+37}-36177\cdot 107^{72k+36}\\||-2033\cdot 107^{71k+36}+9501\cdot 107^{70k+35}+3509\cdot 107^{69k+35}+41177\cdot 107^{68k+34}+1865\cdot 107^{67k+34}\\||-16637\cdot 107^{66k+33}-4225\cdot 107^{65k+33}-43539\cdot 107^{64k+32}-1433\cdot 107^{63k+32}+24965\cdot 107^{62k+31}\\||+4859\cdot 107^{61k+31}+43967\cdot 107^{60k+30}+871\cdot 107^{59k+30}-32915\cdot 107^{58k+29}-5315\cdot 107^{57k+29}\\||-42547\cdot 107^{56k+28}-281\cdot 107^{55k+28}+39097\cdot 107^{54k+27}+5497\cdot 107^{53k+27}+39097\cdot 107^{52k+26}\\||-281\cdot 107^{51k+26}-42547\cdot 107^{50k+25}-5315\cdot 107^{49k+25}-32915\cdot 107^{48k+24}+871\cdot 107^{47k+24}\\||+43967\cdot 107^{46k+23}+4859\cdot 107^{45k+23}+24965\cdot 107^{44k+22}-1433\cdot 107^{43k+22}-43539\cdot 107^{42k+21}\\||-4225\cdot 107^{41k+21}-16637\cdot 107^{40k+20}+1865\cdot 107^{39k+20}+41177\cdot 107^{38k+19}+3509\cdot 107^{37k+19}\\||+9501\cdot 107^{36k+18}-2033\cdot 107^{35k+18}-36177\cdot 107^{34k+17}-2703\cdot 107^{33k+17}-3591\cdot 107^{32k+16}\\||+1973\cdot 107^{31k+16}+29411\cdot 107^{30k+15}+1893\cdot 107^{29k+15}-919\cdot 107^{28k+14}-1775\cdot 107^{27k+14}\\||-22583\cdot 107^{26k+13}-1235\cdot 107^{25k+13}+3289\cdot 107^{24k+12}+1469\cdot 107^{23k+12}+16577\cdot 107^{22k+11}\\||+801\cdot 107^{21k+11}-3329\cdot 107^{20k+10}-1077\cdot 107^{19k+10}-11549\cdot 107^{18k+9}-565\cdot 107^{17k+9}\\||+1585\cdot 107^{16k+8}+623\cdot 107^{15k+8}+6905\cdot 107^{14k+7}+383\cdot 107^{13k+7}+95\cdot 107^{12k+6}\\||-243\cdot 107^{11k+6}-3051\cdot 107^{10k+5}-197\cdot 107^{9k+5}-569\cdot 107^{8k+4}+47\cdot 107^{7k+4}\\||+849\cdot 107^{6k+3}+69\cdot 107^{5k+3}+415\cdot 107^{4k+2}+17\cdot 107^{3k+2}+53\cdot 107^{2k+1}\\||+107^{k+1}+1)\\{\large\Phi}_{109}(109^{2k+1})|=|109^{216k+108}+109^{214k+107}+109^{212k+106}+109^{210k+105}+109^{208k+104}\\||+109^{206k+103}+109^{204k+102}+109^{202k+101}+109^{200k+100}+109^{198k+99}\\||+109^{196k+98}+109^{194k+97}+109^{192k+96}+109^{190k+95}+109^{188k+94}\\||+109^{186k+93}+109^{184k+92}+109^{182k+91}+109^{180k+90}+109^{178k+89}\\||+109^{176k+88}+109^{174k+87}+109^{172k+86}+109^{170k+85}+109^{168k+84}\\||+109^{166k+83}+109^{164k+82}+109^{162k+81}+109^{160k+80}+109^{158k+79}\\||+109^{156k+78}+109^{154k+77}+109^{152k+76}+109^{150k+75}+109^{148k+74}\\||+109^{146k+73}+109^{144k+72}+109^{142k+71}+109^{140k+70}+109^{138k+69}\\||+109^{136k+68}+109^{134k+67}+109^{132k+66}+109^{130k+65}+109^{128k+64}\\||+109^{126k+63}+109^{124k+62}+109^{122k+61}+109^{120k+60}+109^{118k+59}\\||+109^{116k+58}+109^{114k+57}+109^{112k+56}+109^{110k+55}+109^{108k+54}\\||+109^{106k+53}+109^{104k+52}+109^{102k+51}+109^{100k+50}+109^{98k+49}\\||+109^{96k+48}+109^{94k+47}+109^{92k+46}+109^{90k+45}+109^{88k+44}\\||+109^{86k+43}+109^{84k+42}+109^{82k+41}+109^{80k+40}+109^{78k+39}\\||+109^{76k+38}+109^{74k+37}+109^{72k+36}+109^{70k+35}+109^{68k+34}\\||+109^{66k+33}+109^{64k+32}+109^{62k+31}+109^{60k+30}+109^{58k+29}\\||+109^{56k+28}+109^{54k+27}+109^{52k+26}+109^{50k+25}+109^{48k+24}\\||+109^{46k+23}+109^{44k+22}+109^{42k+21}+109^{40k+20}+109^{38k+19}\\||+109^{36k+18}+109^{34k+17}+109^{32k+16}+109^{30k+15}+109^{28k+14}\\||+109^{26k+13}+109^{24k+12}+109^{22k+11}+109^{20k+10}+109^{18k+9}\\||+109^{16k+8}+109^{14k+7}+109^{12k+6}+109^{10k+5}+109^{8k+4}\\||+109^{6k+3}+109^{4k+2}+109^{2k+1}+1\\|=|(109^{108k+54}-109^{107k+54}+55\cdot 109^{106k+53}-19\cdot 109^{105k+53}+559\cdot 109^{104k+52}\\||-127\cdot 109^{103k+52}+2773\cdot 109^{102k+51}-505\cdot 109^{101k+51}+9307\cdot 109^{100k+50}-1483\cdot 109^{99k+50}\\||+24541\cdot 109^{98k+49}-3579\cdot 109^{97k+49}+54987\cdot 109^{96k+48}-7525\cdot 109^{95k+48}+109351\cdot 109^{94k+47}\\||-14239\cdot 109^{93k+47}+197803\cdot 109^{92k+46}-24717\cdot 109^{91k+46}+330591\cdot 109^{90k+45}-39889\cdot 109^{89k+45}\\||+516469\cdot 109^{88k+44}-60457\cdot 109^{87k+44}+760821\cdot 109^{86k+43}-86699\cdot 109^{85k+43}+1063573\cdot 109^{84k+42}\\||-118285\cdot 109^{83k+42}+1417653\cdot 109^{82k+41}-154181\cdot 109^{81k+41}+1808601\cdot 109^{80k+40}-192669\cdot 109^{79k+40}\\||+2215303\cdot 109^{78k+39}-231463\cdot 109^{77k+39}+2611733\cdot 109^{76k+38}-267939\cdot 109^{75k+38}+2970087\cdot 109^{74k+37}\\||-299495\cdot 109^{73k+37}+3264879\cdot 109^{72k+36}-323945\cdot 109^{71k+36}+3476861\cdot 109^{70k+35}-339867\cdot 109^{69k+35}\\||+3596301\cdot 109^{68k+34}-346871\cdot 109^{67k+34}+3625117\cdot 109^{66k+33}-345721\cdot 109^{65k+33}+3577115\cdot 109^{64k+32}\\||-338247\cdot 109^{63k+32}+3475919\cdot 109^{62k+31}-327053\cdot 109^{61k+31}+3351209\cdot 109^{60k+30}-315109\cdot 109^{59k+30}\\||+3234047\cdot 109^{58k+29}-305265\cdot 109^{57k+29}+3151519\cdot 109^{56k+28}-299741\cdot 109^{55k+28}+3121875\cdot 109^{54k+27}\\||-299741\cdot 109^{53k+27}+3151519\cdot 109^{52k+26}-305265\cdot 109^{51k+26}+3234047\cdot 109^{50k+25}-315109\cdot 109^{49k+25}\\||+3351209\cdot 109^{48k+24}-327053\cdot 109^{47k+24}+3475919\cdot 109^{46k+23}-338247\cdot 109^{45k+23}+3577115\cdot 109^{44k+22}\\||-345721\cdot 109^{43k+22}+3625117\cdot 109^{42k+21}-346871\cdot 109^{41k+21}+3596301\cdot 109^{40k+20}-339867\cdot 109^{39k+20}\\||+3476861\cdot 109^{38k+19}-323945\cdot 109^{37k+19}+3264879\cdot 109^{36k+18}-299495\cdot 109^{35k+18}+2970087\cdot 109^{34k+17}\\||-267939\cdot 109^{33k+17}+2611733\cdot 109^{32k+16}-231463\cdot 109^{31k+16}+2215303\cdot 109^{30k+15}-192669\cdot 109^{29k+15}\\||+1808601\cdot 109^{28k+14}-154181\cdot 109^{27k+14}+1417653\cdot 109^{26k+13}-118285\cdot 109^{25k+13}+1063573\cdot 109^{24k+12}\\||-86699\cdot 109^{23k+12}+760821\cdot 109^{22k+11}-60457\cdot 109^{21k+11}+516469\cdot 109^{20k+10}-39889\cdot 109^{19k+10}\\||+330591\cdot 109^{18k+9}-24717\cdot 109^{17k+9}+197803\cdot 109^{16k+8}-14239\cdot 109^{15k+8}+109351\cdot 109^{14k+7}\\||-7525\cdot 109^{13k+7}+54987\cdot 109^{12k+6}-3579\cdot 109^{11k+6}+24541\cdot 109^{10k+5}-1483\cdot 109^{9k+5}\\||+9307\cdot 109^{8k+4}-505\cdot 109^{7k+4}+2773\cdot 109^{6k+3}-127\cdot 109^{5k+3}+559\cdot 109^{4k+2}\\||-19\cdot 109^{3k+2}+55\cdot 109^{2k+1}-109^{k+1}+1)\\|\times|(109^{108k+54}+109^{107k+54}+55\cdot 109^{106k+53}+19\cdot 109^{105k+53}+559\cdot 109^{104k+52}\\||+127\cdot 109^{103k+52}+2773\cdot 109^{102k+51}+505\cdot 109^{101k+51}+9307\cdot 109^{100k+50}+1483\cdot 109^{99k+50}\\||+24541\cdot 109^{98k+49}+3579\cdot 109^{97k+49}+54987\cdot 109^{96k+48}+7525\cdot 109^{95k+48}+109351\cdot 109^{94k+47}\\||+14239\cdot 109^{93k+47}+197803\cdot 109^{92k+46}+24717\cdot 109^{91k+46}+330591\cdot 109^{90k+45}+39889\cdot 109^{89k+45}\\||+516469\cdot 109^{88k+44}+60457\cdot 109^{87k+44}+760821\cdot 109^{86k+43}+86699\cdot 109^{85k+43}+1063573\cdot 109^{84k+42}\\||+118285\cdot 109^{83k+42}+1417653\cdot 109^{82k+41}+154181\cdot 109^{81k+41}+1808601\cdot 109^{80k+40}+192669\cdot 109^{79k+40}\\||+2215303\cdot 109^{78k+39}+231463\cdot 109^{77k+39}+2611733\cdot 109^{76k+38}+267939\cdot 109^{75k+38}+2970087\cdot 109^{74k+37}\\||+299495\cdot 109^{73k+37}+3264879\cdot 109^{72k+36}+323945\cdot 109^{71k+36}+3476861\cdot 109^{70k+35}+339867\cdot 109^{69k+35}\\||+3596301\cdot 109^{68k+34}+346871\cdot 109^{67k+34}+3625117\cdot 109^{66k+33}+345721\cdot 109^{65k+33}+3577115\cdot 109^{64k+32}\\||+338247\cdot 109^{63k+32}+3475919\cdot 109^{62k+31}+327053\cdot 109^{61k+31}+3351209\cdot 109^{60k+30}+315109\cdot 109^{59k+30}\\||+3234047\cdot 109^{58k+29}+305265\cdot 109^{57k+29}+3151519\cdot 109^{56k+28}+299741\cdot 109^{55k+28}+3121875\cdot 109^{54k+27}\\||+299741\cdot 109^{53k+27}+3151519\cdot 109^{52k+26}+305265\cdot 109^{51k+26}+3234047\cdot 109^{50k+25}+315109\cdot 109^{49k+25}\\||+3351209\cdot 109^{48k+24}+327053\cdot 109^{47k+24}+3475919\cdot 109^{46k+23}+338247\cdot 109^{45k+23}+3577115\cdot 109^{44k+22}\\||+345721\cdot 109^{43k+22}+3625117\cdot 109^{42k+21}+346871\cdot 109^{41k+21}+3596301\cdot 109^{40k+20}+339867\cdot 109^{39k+20}\\||+3476861\cdot 109^{38k+19}+323945\cdot 109^{37k+19}+3264879\cdot 109^{36k+18}+299495\cdot 109^{35k+18}+2970087\cdot 109^{34k+17}\\||+267939\cdot 109^{33k+17}+2611733\cdot 109^{32k+16}+231463\cdot 109^{31k+16}+2215303\cdot 109^{30k+15}+192669\cdot 109^{29k+15}\\||+1808601\cdot 109^{28k+14}+154181\cdot 109^{27k+14}+1417653\cdot 109^{26k+13}+118285\cdot 109^{25k+13}+1063573\cdot 109^{24k+12}\\||+86699\cdot 109^{23k+12}+760821\cdot 109^{22k+11}+60457\cdot 109^{21k+11}+516469\cdot 109^{20k+10}+39889\cdot 109^{19k+10}\\||+330591\cdot 109^{18k+9}+24717\cdot 109^{17k+9}+197803\cdot 109^{16k+8}+14239\cdot 109^{15k+8}+109351\cdot 109^{14k+7}\\||+7525\cdot 109^{13k+7}+54987\cdot 109^{12k+6}+3579\cdot 109^{11k+6}+24541\cdot 109^{10k+5}+1483\cdot 109^{9k+5}\\||+9307\cdot 109^{8k+4}+505\cdot 109^{7k+4}+2773\cdot 109^{6k+3}+127\cdot 109^{5k+3}+559\cdot 109^{4k+2}\\||+19\cdot 109^{3k+2}+55\cdot 109^{2k+1}+109^{k+1}+1)\\{\large\Phi}_{220}(110^{2k+1})|=|110^{160k+80}+110^{156k+78}-110^{140k+70}-110^{136k+68}+110^{120k+60}\\||-110^{112k+56}-110^{100k+50}+110^{92k+46}+110^{80k+40}+110^{68k+34}\\||-110^{60k+30}-110^{48k+24}+110^{40k+20}-110^{24k+12}-110^{20k+10}\\||+110^{4k+2}+1\\|=|(110^{80k+40}-110^{79k+40}+55\cdot 110^{78k+39}-18\cdot 110^{77k+39}+468\cdot 110^{76k+38}\\||-83\cdot 110^{75k+38}+1210\cdot 110^{74k+37}-111\cdot 110^{73k+37}+488\cdot 110^{72k+36}+68\cdot 110^{71k+36}\\||-1925\cdot 110^{70k+35}+240\cdot 110^{69k+35}-2169\cdot 110^{68k+34}+99\cdot 110^{67k+34}+440\cdot 110^{66k+33}\\||-174\cdot 110^{65k+33}+2710\cdot 110^{64k+32}-254\cdot 110^{63k+32}+1430\cdot 110^{62k+31}+62\cdot 110^{61k+31}\\||-2541\cdot 110^{60k+30}+298\cdot 110^{59k+30}-2090\cdot 110^{58k+29}+18\cdot 110^{57k+29}+1417\cdot 110^{56k+28}\\||-197\cdot 110^{55k+28}+1870\cdot 110^{54k+27}-120\cdot 110^{53k+27}+482\cdot 110^{52k+26}+37\cdot 110^{51k+26}\\||-1155\cdot 110^{50k+25}+138\cdot 110^{49k+25}-1066\cdot 110^{48k+24}+28\cdot 110^{47k+24}+275\cdot 110^{46k+23}\\||-26\cdot 110^{45k+23}-90\cdot 110^{44k+22}+24\cdot 110^{43k+22}+110\cdot 110^{42k+21}-70\cdot 110^{41k+21}\\||+1041\cdot 110^{40k+20}-70\cdot 110^{39k+20}+110\cdot 110^{38k+19}+24\cdot 110^{37k+19}-90\cdot 110^{36k+18}\\||-26\cdot 110^{35k+18}+275\cdot 110^{34k+17}+28\cdot 110^{33k+17}-1066\cdot 110^{32k+16}+138\cdot 110^{31k+16}\\||-1155\cdot 110^{30k+15}+37\cdot 110^{29k+15}+482\cdot 110^{28k+14}-120\cdot 110^{27k+14}+1870\cdot 110^{26k+13}\\||-197\cdot 110^{25k+13}+1417\cdot 110^{24k+12}+18\cdot 110^{23k+12}-2090\cdot 110^{22k+11}+298\cdot 110^{21k+11}\\||-2541\cdot 110^{20k+10}+62\cdot 110^{19k+10}+1430\cdot 110^{18k+9}-254\cdot 110^{17k+9}+2710\cdot 110^{16k+8}\\||-174\cdot 110^{15k+8}+440\cdot 110^{14k+7}+99\cdot 110^{13k+7}-2169\cdot 110^{12k+6}+240\cdot 110^{11k+6}\\||-1925\cdot 110^{10k+5}+68\cdot 110^{9k+5}+488\cdot 110^{8k+4}-111\cdot 110^{7k+4}+1210\cdot 110^{6k+3}\\||-83\cdot 110^{5k+3}+468\cdot 110^{4k+2}-18\cdot 110^{3k+2}+55\cdot 110^{2k+1}-110^{k+1}+1)\\|\times|(110^{80k+40}+110^{79k+40}+55\cdot 110^{78k+39}+18\cdot 110^{77k+39}+468\cdot 110^{76k+38}\\||+83\cdot 110^{75k+38}+1210\cdot 110^{74k+37}+111\cdot 110^{73k+37}+488\cdot 110^{72k+36}-68\cdot 110^{71k+36}\\||-1925\cdot 110^{70k+35}-240\cdot 110^{69k+35}-2169\cdot 110^{68k+34}-99\cdot 110^{67k+34}+440\cdot 110^{66k+33}\\||+174\cdot 110^{65k+33}+2710\cdot 110^{64k+32}+254\cdot 110^{63k+32}+1430\cdot 110^{62k+31}-62\cdot 110^{61k+31}\\||-2541\cdot 110^{60k+30}-298\cdot 110^{59k+30}-2090\cdot 110^{58k+29}-18\cdot 110^{57k+29}+1417\cdot 110^{56k+28}\\||+197\cdot 110^{55k+28}+1870\cdot 110^{54k+27}+120\cdot 110^{53k+27}+482\cdot 110^{52k+26}-37\cdot 110^{51k+26}\\||-1155\cdot 110^{50k+25}-138\cdot 110^{49k+25}-1066\cdot 110^{48k+24}-28\cdot 110^{47k+24}+275\cdot 110^{46k+23}\\||+26\cdot 110^{45k+23}-90\cdot 110^{44k+22}-24\cdot 110^{43k+22}+110\cdot 110^{42k+21}+70\cdot 110^{41k+21}\\||+1041\cdot 110^{40k+20}+70\cdot 110^{39k+20}+110\cdot 110^{38k+19}-24\cdot 110^{37k+19}-90\cdot 110^{36k+18}\\||+26\cdot 110^{35k+18}+275\cdot 110^{34k+17}-28\cdot 110^{33k+17}-1066\cdot 110^{32k+16}-138\cdot 110^{31k+16}\\||-1155\cdot 110^{30k+15}-37\cdot 110^{29k+15}+482\cdot 110^{28k+14}+120\cdot 110^{27k+14}+1870\cdot 110^{26k+13}\\||+197\cdot 110^{25k+13}+1417\cdot 110^{24k+12}-18\cdot 110^{23k+12}-2090\cdot 110^{22k+11}-298\cdot 110^{21k+11}\\||-2541\cdot 110^{20k+10}-62\cdot 110^{19k+10}+1430\cdot 110^{18k+9}+254\cdot 110^{17k+9}+2710\cdot 110^{16k+8}\\||+174\cdot 110^{15k+8}+440\cdot 110^{14k+7}-99\cdot 110^{13k+7}-2169\cdot 110^{12k+6}-240\cdot 110^{11k+6}\\||-1925\cdot 110^{10k+5}-68\cdot 110^{9k+5}+488\cdot 110^{8k+4}+111\cdot 110^{7k+4}+1210\cdot 110^{6k+3}\\||+83\cdot 110^{5k+3}+468\cdot 110^{4k+2}+18\cdot 110^{3k+2}+55\cdot 110^{2k+1}+110^{k+1}+1)\end{eqnarray}%%
Φ222(1112k+1)⋯Φ230(1152k+1)Φ222(1112k+1)⋯Φ230(1152k+1)
%%\begin{eqnarray}{\large\Phi}_{222}(111^{2k+1})|=|111^{144k+72}+111^{142k+71}-111^{138k+69}-111^{136k+68}+111^{132k+66}\\||+111^{130k+65}-111^{126k+63}-111^{124k+62}+111^{120k+60}+111^{118k+59}\\||-111^{114k+57}-111^{112k+56}+111^{108k+54}+111^{106k+53}-111^{102k+51}\\||-111^{100k+50}+111^{96k+48}+111^{94k+47}-111^{90k+45}-111^{88k+44}\\||+111^{84k+42}+111^{82k+41}-111^{78k+39}-111^{76k+38}+111^{72k+36}\\||-111^{68k+34}-111^{66k+33}+111^{62k+31}+111^{60k+30}-111^{56k+28}\\||-111^{54k+27}+111^{50k+25}+111^{48k+24}-111^{44k+22}-111^{42k+21}\\||+111^{38k+19}+111^{36k+18}-111^{32k+16}-111^{30k+15}+111^{26k+13}\\||+111^{24k+12}-111^{20k+10}-111^{18k+9}+111^{14k+7}+111^{12k+6}\\||-111^{8k+4}-111^{6k+3}+111^{2k+1}+1\\|=|(111^{72k+36}-111^{71k+36}+56\cdot 111^{70k+35}-19\cdot 111^{69k+35}+541\cdot 111^{68k+34}\\||-112\cdot 111^{67k+34}+2171\cdot 111^{66k+33}-331\cdot 111^{65k+33}+5032\cdot 111^{64k+32}-633\cdot 111^{63k+32}\\||+8231\cdot 111^{62k+31}-902\cdot 111^{61k+31}+10243\cdot 111^{60k+30}-975\cdot 111^{59k+30}+9584\cdot 111^{58k+29}\\||-793\cdot 111^{57k+29}+6835\cdot 111^{56k+28}-496\cdot 111^{55k+28}+3665\cdot 111^{54k+27}-219\cdot 111^{53k+27}\\||+1354\cdot 111^{52k+26}-91\cdot 111^{51k+26}+1109\cdot 111^{50k+25}-156\cdot 111^{49k+25}+2407\cdot 111^{48k+24}\\||-319\cdot 111^{47k+24}+4514\cdot 111^{46k+23}-547\cdot 111^{45k+23}+6859\cdot 111^{44k+22}-718\cdot 111^{43k+22}\\||+7823\cdot 111^{42k+21}-735\cdot 111^{41k+21}+7444\cdot 111^{40k+20}-661\cdot 111^{39k+20}+6359\cdot 111^{38k+19}\\||-552\cdot 111^{37k+19}+5593\cdot 111^{36k+18}-552\cdot 111^{35k+18}+6359\cdot 111^{34k+17}-661\cdot 111^{33k+17}\\||+7444\cdot 111^{32k+16}-735\cdot 111^{31k+16}+7823\cdot 111^{30k+15}-718\cdot 111^{29k+15}+6859\cdot 111^{28k+14}\\||-547\cdot 111^{27k+14}+4514\cdot 111^{26k+13}-319\cdot 111^{25k+13}+2407\cdot 111^{24k+12}-156\cdot 111^{23k+12}\\||+1109\cdot 111^{22k+11}-91\cdot 111^{21k+11}+1354\cdot 111^{20k+10}-219\cdot 111^{19k+10}+3665\cdot 111^{18k+9}\\||-496\cdot 111^{17k+9}+6835\cdot 111^{16k+8}-793\cdot 111^{15k+8}+9584\cdot 111^{14k+7}-975\cdot 111^{13k+7}\\||+10243\cdot 111^{12k+6}-902\cdot 111^{11k+6}+8231\cdot 111^{10k+5}-633\cdot 111^{9k+5}+5032\cdot 111^{8k+4}\\||-331\cdot 111^{7k+4}+2171\cdot 111^{6k+3}-112\cdot 111^{5k+3}+541\cdot 111^{4k+2}-19\cdot 111^{3k+2}\\||+56\cdot 111^{2k+1}-111^{k+1}+1)\\|\times|(111^{72k+36}+111^{71k+36}+56\cdot 111^{70k+35}+19\cdot 111^{69k+35}+541\cdot 111^{68k+34}\\||+112\cdot 111^{67k+34}+2171\cdot 111^{66k+33}+331\cdot 111^{65k+33}+5032\cdot 111^{64k+32}+633\cdot 111^{63k+32}\\||+8231\cdot 111^{62k+31}+902\cdot 111^{61k+31}+10243\cdot 111^{60k+30}+975\cdot 111^{59k+30}+9584\cdot 111^{58k+29}\\||+793\cdot 111^{57k+29}+6835\cdot 111^{56k+28}+496\cdot 111^{55k+28}+3665\cdot 111^{54k+27}+219\cdot 111^{53k+27}\\||+1354\cdot 111^{52k+26}+91\cdot 111^{51k+26}+1109\cdot 111^{50k+25}+156\cdot 111^{49k+25}+2407\cdot 111^{48k+24}\\||+319\cdot 111^{47k+24}+4514\cdot 111^{46k+23}+547\cdot 111^{45k+23}+6859\cdot 111^{44k+22}+718\cdot 111^{43k+22}\\||+7823\cdot 111^{42k+21}+735\cdot 111^{41k+21}+7444\cdot 111^{40k+20}+661\cdot 111^{39k+20}+6359\cdot 111^{38k+19}\\||+552\cdot 111^{37k+19}+5593\cdot 111^{36k+18}+552\cdot 111^{35k+18}+6359\cdot 111^{34k+17}+661\cdot 111^{33k+17}\\||+7444\cdot 111^{32k+16}+735\cdot 111^{31k+16}+7823\cdot 111^{30k+15}+718\cdot 111^{29k+15}+6859\cdot 111^{28k+14}\\||+547\cdot 111^{27k+14}+4514\cdot 111^{26k+13}+319\cdot 111^{25k+13}+2407\cdot 111^{24k+12}+156\cdot 111^{23k+12}\\||+1109\cdot 111^{22k+11}+91\cdot 111^{21k+11}+1354\cdot 111^{20k+10}+219\cdot 111^{19k+10}+3665\cdot 111^{18k+9}\\||+496\cdot 111^{17k+9}+6835\cdot 111^{16k+8}+793\cdot 111^{15k+8}+9584\cdot 111^{14k+7}+975\cdot 111^{13k+7}\\||+10243\cdot 111^{12k+6}+902\cdot 111^{11k+6}+8231\cdot 111^{10k+5}+633\cdot 111^{9k+5}+5032\cdot 111^{8k+4}\\||+331\cdot 111^{7k+4}+2171\cdot 111^{6k+3}+112\cdot 111^{5k+3}+541\cdot 111^{4k+2}+19\cdot 111^{3k+2}\\||+56\cdot 111^{2k+1}+111^{k+1}+1)\\{\large\Phi}_{113}(113^{2k+1})|=|113^{224k+112}+113^{222k+111}+113^{220k+110}+113^{218k+109}+113^{216k+108}\\||+113^{214k+107}+113^{212k+106}+113^{210k+105}+113^{208k+104}+113^{206k+103}\\||+113^{204k+102}+113^{202k+101}+113^{200k+100}+113^{198k+99}+113^{196k+98}\\||+113^{194k+97}+113^{192k+96}+113^{190k+95}+113^{188k+94}+113^{186k+93}\\||+113^{184k+92}+113^{182k+91}+113^{180k+90}+113^{178k+89}+113^{176k+88}\\||+113^{174k+87}+113^{172k+86}+113^{170k+85}+113^{168k+84}+113^{166k+83}\\||+113^{164k+82}+113^{162k+81}+113^{160k+80}+113^{158k+79}+113^{156k+78}\\||+113^{154k+77}+113^{152k+76}+113^{150k+75}+113^{148k+74}+113^{146k+73}\\||+113^{144k+72}+113^{142k+71}+113^{140k+70}+113^{138k+69}+113^{136k+68}\\||+113^{134k+67}+113^{132k+66}+113^{130k+65}+113^{128k+64}+113^{126k+63}\\||+113^{124k+62}+113^{122k+61}+113^{120k+60}+113^{118k+59}+113^{116k+58}\\||+113^{114k+57}+113^{112k+56}+113^{110k+55}+113^{108k+54}+113^{106k+53}\\||+113^{104k+52}+113^{102k+51}+113^{100k+50}+113^{98k+49}+113^{96k+48}\\||+113^{94k+47}+113^{92k+46}+113^{90k+45}+113^{88k+44}+113^{86k+43}\\||+113^{84k+42}+113^{82k+41}+113^{80k+40}+113^{78k+39}+113^{76k+38}\\||+113^{74k+37}+113^{72k+36}+113^{70k+35}+113^{68k+34}+113^{66k+33}\\||+113^{64k+32}+113^{62k+31}+113^{60k+30}+113^{58k+29}+113^{56k+28}\\||+113^{54k+27}+113^{52k+26}+113^{50k+25}+113^{48k+24}+113^{46k+23}\\||+113^{44k+22}+113^{42k+21}+113^{40k+20}+113^{38k+19}+113^{36k+18}\\||+113^{34k+17}+113^{32k+16}+113^{30k+15}+113^{28k+14}+113^{26k+13}\\||+113^{24k+12}+113^{22k+11}+113^{20k+10}+113^{18k+9}+113^{16k+8}\\||+113^{14k+7}+113^{12k+6}+113^{10k+5}+113^{8k+4}+113^{6k+3}\\||+113^{4k+2}+113^{2k+1}+1\\|=|(113^{112k+56}-113^{111k+56}+57\cdot 113^{110k+55}-19\cdot 113^{109k+55}+523\cdot 113^{108k+54}\\||-97\cdot 113^{107k+54}+1547\cdot 113^{106k+53}-155\cdot 113^{105k+53}+831\cdot 113^{104k+52}+101\cdot 113^{103k+52}\\||-3467\cdot 113^{102k+51}+463\cdot 113^{101k+51}-3809\cdot 113^{100k+50}-51\cdot 113^{99k+50}+6851\cdot 113^{98k+49}\\||-1123\cdot 113^{97k+49}+12207\cdot 113^{96k+48}-561\cdot 113^{95k+48}-4875\cdot 113^{94k+47}+1417\cdot 113^{93k+47}\\||-18615\cdot 113^{92k+46}+1169\cdot 113^{91k+46}+1323\cdot 113^{90k+45}-1485\cdot 113^{89k+45}+23091\cdot 113^{88k+44}\\||-1787\cdot 113^{87k+44}+5631\cdot 113^{86k+43}+899\cdot 113^{85k+43}-18175\cdot 113^{84k+42}+1497\cdot 113^{83k+42}\\||-5045\cdot 113^{82k+41}-675\cdot 113^{81k+41}+13175\cdot 113^{80k+40}-921\cdot 113^{79k+40}+75\cdot 113^{78k+39}\\||+835\cdot 113^{77k+39}-10615\cdot 113^{76k+38}+333\cdot 113^{75k+38}+8009\cdot 113^{74k+37}-1543\cdot 113^{73k+37}\\||+15473\cdot 113^{72k+36}-421\cdot 113^{71k+36}-11141\cdot 113^{70k+35}+2131\cdot 113^{69k+35}-23043\cdot 113^{68k+34}\\||+1053\cdot 113^{67k+34}+7145\cdot 113^{66k+33}-2095\cdot 113^{65k+33}+25813\cdot 113^{64k+32}-1457\cdot 113^{63k+32}\\||-3403\cdot 113^{62k+31}+1947\cdot 113^{61k+31}-26935\cdot 113^{60k+30}+1759\cdot 113^{59k+30}-645\cdot 113^{58k+29}\\||-1601\cdot 113^{57k+29}+24281\cdot 113^{56k+28}-1601\cdot 113^{55k+28}-645\cdot 113^{54k+27}+1759\cdot 113^{53k+27}\\||-26935\cdot 113^{52k+26}+1947\cdot 113^{51k+26}-3403\cdot 113^{50k+25}-1457\cdot 113^{49k+25}+25813\cdot 113^{48k+24}\\||-2095\cdot 113^{47k+24}+7145\cdot 113^{46k+23}+1053\cdot 113^{45k+23}-23043\cdot 113^{44k+22}+2131\cdot 113^{43k+22}\\||-11141\cdot 113^{42k+21}-421\cdot 113^{41k+21}+15473\cdot 113^{40k+20}-1543\cdot 113^{39k+20}+8009\cdot 113^{38k+19}\\||+333\cdot 113^{37k+19}-10615\cdot 113^{36k+18}+835\cdot 113^{35k+18}+75\cdot 113^{34k+17}-921\cdot 113^{33k+17}\\||+13175\cdot 113^{32k+16}-675\cdot 113^{31k+16}-5045\cdot 113^{30k+15}+1497\cdot 113^{29k+15}-18175\cdot 113^{28k+14}\\||+899\cdot 113^{27k+14}+5631\cdot 113^{26k+13}-1787\cdot 113^{25k+13}+23091\cdot 113^{24k+12}-1485\cdot 113^{23k+12}\\||+1323\cdot 113^{22k+11}+1169\cdot 113^{21k+11}-18615\cdot 113^{20k+10}+1417\cdot 113^{19k+10}-4875\cdot 113^{18k+9}\\||-561\cdot 113^{17k+9}+12207\cdot 113^{16k+8}-1123\cdot 113^{15k+8}+6851\cdot 113^{14k+7}-51\cdot 113^{13k+7}\\||-3809\cdot 113^{12k+6}+463\cdot 113^{11k+6}-3467\cdot 113^{10k+5}+101\cdot 113^{9k+5}+831\cdot 113^{8k+4}\\||-155\cdot 113^{7k+4}+1547\cdot 113^{6k+3}-97\cdot 113^{5k+3}+523\cdot 113^{4k+2}-19\cdot 113^{3k+2}\\||+57\cdot 113^{2k+1}-113^{k+1}+1)\\|\times|(113^{112k+56}+113^{111k+56}+57\cdot 113^{110k+55}+19\cdot 113^{109k+55}+523\cdot 113^{108k+54}\\||+97\cdot 113^{107k+54}+1547\cdot 113^{106k+53}+155\cdot 113^{105k+53}+831\cdot 113^{104k+52}-101\cdot 113^{103k+52}\\||-3467\cdot 113^{102k+51}-463\cdot 113^{101k+51}-3809\cdot 113^{100k+50}+51\cdot 113^{99k+50}+6851\cdot 113^{98k+49}\\||+1123\cdot 113^{97k+49}+12207\cdot 113^{96k+48}+561\cdot 113^{95k+48}-4875\cdot 113^{94k+47}-1417\cdot 113^{93k+47}\\||-18615\cdot 113^{92k+46}-1169\cdot 113^{91k+46}+1323\cdot 113^{90k+45}+1485\cdot 113^{89k+45}+23091\cdot 113^{88k+44}\\||+1787\cdot 113^{87k+44}+5631\cdot 113^{86k+43}-899\cdot 113^{85k+43}-18175\cdot 113^{84k+42}-1497\cdot 113^{83k+42}\\||-5045\cdot 113^{82k+41}+675\cdot 113^{81k+41}+13175\cdot 113^{80k+40}+921\cdot 113^{79k+40}+75\cdot 113^{78k+39}\\||-835\cdot 113^{77k+39}-10615\cdot 113^{76k+38}-333\cdot 113^{75k+38}+8009\cdot 113^{74k+37}+1543\cdot 113^{73k+37}\\||+15473\cdot 113^{72k+36}+421\cdot 113^{71k+36}-11141\cdot 113^{70k+35}-2131\cdot 113^{69k+35}-23043\cdot 113^{68k+34}\\||-1053\cdot 113^{67k+34}+7145\cdot 113^{66k+33}+2095\cdot 113^{65k+33}+25813\cdot 113^{64k+32}+1457\cdot 113^{63k+32}\\||-3403\cdot 113^{62k+31}-1947\cdot 113^{61k+31}-26935\cdot 113^{60k+30}-1759\cdot 113^{59k+30}-645\cdot 113^{58k+29}\\||+1601\cdot 113^{57k+29}+24281\cdot 113^{56k+28}+1601\cdot 113^{55k+28}-645\cdot 113^{54k+27}-1759\cdot 113^{53k+27}\\||-26935\cdot 113^{52k+26}-1947\cdot 113^{51k+26}-3403\cdot 113^{50k+25}+1457\cdot 113^{49k+25}+25813\cdot 113^{48k+24}\\||+2095\cdot 113^{47k+24}+7145\cdot 113^{46k+23}-1053\cdot 113^{45k+23}-23043\cdot 113^{44k+22}-2131\cdot 113^{43k+22}\\||-11141\cdot 113^{42k+21}+421\cdot 113^{41k+21}+15473\cdot 113^{40k+20}+1543\cdot 113^{39k+20}+8009\cdot 113^{38k+19}\\||-333\cdot 113^{37k+19}-10615\cdot 113^{36k+18}-835\cdot 113^{35k+18}+75\cdot 113^{34k+17}+921\cdot 113^{33k+17}\\||+13175\cdot 113^{32k+16}+675\cdot 113^{31k+16}-5045\cdot 113^{30k+15}-1497\cdot 113^{29k+15}-18175\cdot 113^{28k+14}\\||-899\cdot 113^{27k+14}+5631\cdot 113^{26k+13}+1787\cdot 113^{25k+13}+23091\cdot 113^{24k+12}+1485\cdot 113^{23k+12}\\||+1323\cdot 113^{22k+11}-1169\cdot 113^{21k+11}-18615\cdot 113^{20k+10}-1417\cdot 113^{19k+10}-4875\cdot 113^{18k+9}\\||+561\cdot 113^{17k+9}+12207\cdot 113^{16k+8}+1123\cdot 113^{15k+8}+6851\cdot 113^{14k+7}+51\cdot 113^{13k+7}\\||-3809\cdot 113^{12k+6}-463\cdot 113^{11k+6}-3467\cdot 113^{10k+5}-101\cdot 113^{9k+5}+831\cdot 113^{8k+4}\\||+155\cdot 113^{7k+4}+1547\cdot 113^{6k+3}+97\cdot 113^{5k+3}+523\cdot 113^{4k+2}+19\cdot 113^{3k+2}\\||+57\cdot 113^{2k+1}+113^{k+1}+1)\\{\large\Phi}_{228}(114^{2k+1})|=|114^{144k+72}+114^{140k+70}-114^{132k+66}-114^{128k+64}+114^{120k+60}\\||+114^{116k+58}-114^{108k+54}-114^{104k+52}+114^{96k+48}+114^{92k+46}\\||-114^{84k+42}-114^{80k+40}+114^{72k+36}-114^{64k+32}-114^{60k+30}\\||+114^{52k+26}+114^{48k+24}-114^{40k+20}-114^{36k+18}+114^{28k+14}\\||+114^{24k+12}-114^{16k+8}-114^{12k+6}+114^{4k+2}+1\\|=|(114^{72k+36}-114^{71k+36}+57\cdot 114^{70k+35}-19\cdot 114^{69k+35}+542\cdot 114^{68k+34}\\||-109\cdot 114^{67k+34}+2109\cdot 114^{66k+33}-315\cdot 114^{65k+33}+4909\cdot 114^{64k+32}-636\cdot 114^{63k+32}\\||+9120\cdot 114^{62k+31}-1124\cdot 114^{61k+31}+15443\cdot 114^{60k+30}-1813\cdot 114^{59k+30}+23655\cdot 114^{58k+29}\\||-2655\cdot 114^{57k+29}+33550\cdot 114^{56k+28}-3687\cdot 114^{55k+28}+45771\cdot 114^{54k+27}-4926\cdot 114^{53k+27}\\||+59633\cdot 114^{52k+26}-6253\cdot 114^{51k+26}+73986\cdot 114^{50k+25}-7618\cdot 114^{49k+25}+88783\cdot 114^{48k+24}\\||-9006\cdot 114^{47k+24}+103227\cdot 114^{46k+23}-10284\cdot 114^{45k+23}+115838\cdot 114^{44k+22}-11371\cdot 114^{43k+22}\\||+126597\cdot 114^{42k+21}-12302\cdot 114^{41k+21}+135451\cdot 114^{40k+20}-12985\cdot 114^{39k+20}+140790\cdot 114^{38k+19}\\||-13296\cdot 114^{37k+19}+142325\cdot 114^{36k+18}-13296\cdot 114^{35k+18}+140790\cdot 114^{34k+17}-12985\cdot 114^{33k+17}\\||+135451\cdot 114^{32k+16}-12302\cdot 114^{31k+16}+126597\cdot 114^{30k+15}-11371\cdot 114^{29k+15}+115838\cdot 114^{28k+14}\\||-10284\cdot 114^{27k+14}+103227\cdot 114^{26k+13}-9006\cdot 114^{25k+13}+88783\cdot 114^{24k+12}-7618\cdot 114^{23k+12}\\||+73986\cdot 114^{22k+11}-6253\cdot 114^{21k+11}+59633\cdot 114^{20k+10}-4926\cdot 114^{19k+10}+45771\cdot 114^{18k+9}\\||-3687\cdot 114^{17k+9}+33550\cdot 114^{16k+8}-2655\cdot 114^{15k+8}+23655\cdot 114^{14k+7}-1813\cdot 114^{13k+7}\\||+15443\cdot 114^{12k+6}-1124\cdot 114^{11k+6}+9120\cdot 114^{10k+5}-636\cdot 114^{9k+5}+4909\cdot 114^{8k+4}\\||-315\cdot 114^{7k+4}+2109\cdot 114^{6k+3}-109\cdot 114^{5k+3}+542\cdot 114^{4k+2}-19\cdot 114^{3k+2}\\||+57\cdot 114^{2k+1}-114^{k+1}+1)\\|\times|(114^{72k+36}+114^{71k+36}+57\cdot 114^{70k+35}+19\cdot 114^{69k+35}+542\cdot 114^{68k+34}\\||+109\cdot 114^{67k+34}+2109\cdot 114^{66k+33}+315\cdot 114^{65k+33}+4909\cdot 114^{64k+32}+636\cdot 114^{63k+32}\\||+9120\cdot 114^{62k+31}+1124\cdot 114^{61k+31}+15443\cdot 114^{60k+30}+1813\cdot 114^{59k+30}+23655\cdot 114^{58k+29}\\||+2655\cdot 114^{57k+29}+33550\cdot 114^{56k+28}+3687\cdot 114^{55k+28}+45771\cdot 114^{54k+27}+4926\cdot 114^{53k+27}\\||+59633\cdot 114^{52k+26}+6253\cdot 114^{51k+26}+73986\cdot 114^{50k+25}+7618\cdot 114^{49k+25}+88783\cdot 114^{48k+24}\\||+9006\cdot 114^{47k+24}+103227\cdot 114^{46k+23}+10284\cdot 114^{45k+23}+115838\cdot 114^{44k+22}+11371\cdot 114^{43k+22}\\||+126597\cdot 114^{42k+21}+12302\cdot 114^{41k+21}+135451\cdot 114^{40k+20}+12985\cdot 114^{39k+20}+140790\cdot 114^{38k+19}\\||+13296\cdot 114^{37k+19}+142325\cdot 114^{36k+18}+13296\cdot 114^{35k+18}+140790\cdot 114^{34k+17}+12985\cdot 114^{33k+17}\\||+135451\cdot 114^{32k+16}+12302\cdot 114^{31k+16}+126597\cdot 114^{30k+15}+11371\cdot 114^{29k+15}+115838\cdot 114^{28k+14}\\||+10284\cdot 114^{27k+14}+103227\cdot 114^{26k+13}+9006\cdot 114^{25k+13}+88783\cdot 114^{24k+12}+7618\cdot 114^{23k+12}\\||+73986\cdot 114^{22k+11}+6253\cdot 114^{21k+11}+59633\cdot 114^{20k+10}+4926\cdot 114^{19k+10}+45771\cdot 114^{18k+9}\\||+3687\cdot 114^{17k+9}+33550\cdot 114^{16k+8}+2655\cdot 114^{15k+8}+23655\cdot 114^{14k+7}+1813\cdot 114^{13k+7}\\||+15443\cdot 114^{12k+6}+1124\cdot 114^{11k+6}+9120\cdot 114^{10k+5}+636\cdot 114^{9k+5}+4909\cdot 114^{8k+4}\\||+315\cdot 114^{7k+4}+2109\cdot 114^{6k+3}+109\cdot 114^{5k+3}+542\cdot 114^{4k+2}+19\cdot 114^{3k+2}\\||+57\cdot 114^{2k+1}+114^{k+1}+1)\\{\large\Phi}_{230}(115^{2k+1})|=|115^{176k+88}+115^{174k+87}-115^{166k+83}-115^{164k+82}+115^{156k+78}\\||+115^{154k+77}-115^{146k+73}-115^{144k+72}+115^{136k+68}+115^{134k+67}\\||-115^{130k+65}-115^{128k+64}-115^{126k+63}-115^{124k+62}+115^{120k+60}\\||+115^{118k+59}+115^{116k+58}+115^{114k+57}-115^{110k+55}-115^{108k+54}\\||-115^{106k+53}-115^{104k+52}+115^{100k+50}+115^{98k+49}+115^{96k+48}\\||+115^{94k+47}-115^{90k+45}-115^{88k+44}-115^{86k+43}+115^{82k+41}\\||+115^{80k+40}+115^{78k+39}+115^{76k+38}-115^{72k+36}-115^{70k+35}\\||-115^{68k+34}-115^{66k+33}+115^{62k+31}+115^{60k+30}+115^{58k+29}\\||+115^{56k+28}-115^{52k+26}-115^{50k+25}-115^{48k+24}-115^{46k+23}\\||+115^{42k+21}+115^{40k+20}-115^{32k+16}-115^{30k+15}+115^{22k+11}\\||+115^{20k+10}-115^{12k+6}-115^{10k+5}+115^{2k+1}+1\\|=|(115^{88k+44}-115^{87k+44}+58\cdot 115^{86k+43}-20\cdot 115^{85k+43}+618\cdot 115^{84k+42}\\||-139\cdot 115^{83k+42}+3141\cdot 115^{82k+41}-554\cdot 115^{81k+41}+10270\cdot 115^{80k+40}-1532\cdot 115^{79k+40}\\||+24539\cdot 115^{78k+39}-3213\cdot 115^{77k+39}+45722\cdot 115^{76k+38}-5370\cdot 115^{75k+38}+69092\cdot 115^{74k+37}\\||-7387\cdot 115^{73k+37}+87049\cdot 115^{72k+36}-8574\cdot 115^{71k+36}+93640\cdot 115^{70k+35}-8604\cdot 115^{69k+35}\\||+88321\cdot 115^{68k+34}-7697\cdot 115^{67k+34}+75788\cdot 115^{66k+33}-6427\cdot 115^{65k+33}+62713\cdot 115^{64k+32}\\||-5389\cdot 115^{63k+32}+54621\cdot 115^{62k+31}-4988\cdot 115^{61k+31}+54485\cdot 115^{60k+30}-5359\cdot 115^{59k+30}\\||+62069\cdot 115^{58k+29}-6313\cdot 115^{57k+29}+73632\cdot 115^{56k+28}-7377\cdot 115^{55k+28}+83487\cdot 115^{54k+27}\\||-8053\cdot 115^{53k+27}+87629\cdot 115^{52k+26}-8160\cdot 115^{51k+26}+86415\cdot 115^{50k+25}-7913\cdot 115^{49k+25}\\||+83281\cdot 115^{48k+24}-7645\cdot 115^{47k+24}+81088\cdot 115^{46k+23}-7515\cdot 115^{45k+23}+80433\cdot 115^{44k+22}\\||-7515\cdot 115^{43k+22}+81088\cdot 115^{42k+21}-7645\cdot 115^{41k+21}+83281\cdot 115^{40k+20}-7913\cdot 115^{39k+20}\\||+86415\cdot 115^{38k+19}-8160\cdot 115^{37k+19}+87629\cdot 115^{36k+18}-8053\cdot 115^{35k+18}+83487\cdot 115^{34k+17}\\||-7377\cdot 115^{33k+17}+73632\cdot 115^{32k+16}-6313\cdot 115^{31k+16}+62069\cdot 115^{30k+15}-5359\cdot 115^{29k+15}\\||+54485\cdot 115^{28k+14}-4988\cdot 115^{27k+14}+54621\cdot 115^{26k+13}-5389\cdot 115^{25k+13}+62713\cdot 115^{24k+12}\\||-6427\cdot 115^{23k+12}+75788\cdot 115^{22k+11}-7697\cdot 115^{21k+11}+88321\cdot 115^{20k+10}-8604\cdot 115^{19k+10}\\||+93640\cdot 115^{18k+9}-8574\cdot 115^{17k+9}+87049\cdot 115^{16k+8}-7387\cdot 115^{15k+8}+69092\cdot 115^{14k+7}\\||-5370\cdot 115^{13k+7}+45722\cdot 115^{12k+6}-3213\cdot 115^{11k+6}+24539\cdot 115^{10k+5}-1532\cdot 115^{9k+5}\\||+10270\cdot 115^{8k+4}-554\cdot 115^{7k+4}+3141\cdot 115^{6k+3}-139\cdot 115^{5k+3}+618\cdot 115^{4k+2}\\||-20\cdot 115^{3k+2}+58\cdot 115^{2k+1}-115^{k+1}+1)\\|\times|(115^{88k+44}+115^{87k+44}+58\cdot 115^{86k+43}+20\cdot 115^{85k+43}+618\cdot 115^{84k+42}\\||+139\cdot 115^{83k+42}+3141\cdot 115^{82k+41}+554\cdot 115^{81k+41}+10270\cdot 115^{80k+40}+1532\cdot 115^{79k+40}\\||+24539\cdot 115^{78k+39}+3213\cdot 115^{77k+39}+45722\cdot 115^{76k+38}+5370\cdot 115^{75k+38}+69092\cdot 115^{74k+37}\\||+7387\cdot 115^{73k+37}+87049\cdot 115^{72k+36}+8574\cdot 115^{71k+36}+93640\cdot 115^{70k+35}+8604\cdot 115^{69k+35}\\||+88321\cdot 115^{68k+34}+7697\cdot 115^{67k+34}+75788\cdot 115^{66k+33}+6427\cdot 115^{65k+33}+62713\cdot 115^{64k+32}\\||+5389\cdot 115^{63k+32}+54621\cdot 115^{62k+31}+4988\cdot 115^{61k+31}+54485\cdot 115^{60k+30}+5359\cdot 115^{59k+30}\\||+62069\cdot 115^{58k+29}+6313\cdot 115^{57k+29}+73632\cdot 115^{56k+28}+7377\cdot 115^{55k+28}+83487\cdot 115^{54k+27}\\||+8053\cdot 115^{53k+27}+87629\cdot 115^{52k+26}+8160\cdot 115^{51k+26}+86415\cdot 115^{50k+25}+7913\cdot 115^{49k+25}\\||+83281\cdot 115^{48k+24}+7645\cdot 115^{47k+24}+81088\cdot 115^{46k+23}+7515\cdot 115^{45k+23}+80433\cdot 115^{44k+22}\\||+7515\cdot 115^{43k+22}+81088\cdot 115^{42k+21}+7645\cdot 115^{41k+21}+83281\cdot 115^{40k+20}+7913\cdot 115^{39k+20}\\||+86415\cdot 115^{38k+19}+8160\cdot 115^{37k+19}+87629\cdot 115^{36k+18}+8053\cdot 115^{35k+18}+83487\cdot 115^{34k+17}\\||+7377\cdot 115^{33k+17}+73632\cdot 115^{32k+16}+6313\cdot 115^{31k+16}+62069\cdot 115^{30k+15}+5359\cdot 115^{29k+15}\\||+54485\cdot 115^{28k+14}+4988\cdot 115^{27k+14}+54621\cdot 115^{26k+13}+5389\cdot 115^{25k+13}+62713\cdot 115^{24k+12}\\||+6427\cdot 115^{23k+12}+75788\cdot 115^{22k+11}+7697\cdot 115^{21k+11}+88321\cdot 115^{20k+10}+8604\cdot 115^{19k+10}\\||+93640\cdot 115^{18k+9}+8574\cdot 115^{17k+9}+87049\cdot 115^{16k+8}+7387\cdot 115^{15k+8}+69092\cdot 115^{14k+7}\\||+5370\cdot 115^{13k+7}+45722\cdot 115^{12k+6}+3213\cdot 115^{11k+6}+24539\cdot 115^{10k+5}+1532\cdot 115^{9k+5}\\||+10270\cdot 115^{8k+4}+554\cdot 115^{7k+4}+3141\cdot 115^{6k+3}+139\cdot 115^{5k+3}+618\cdot 115^{4k+2}\\||+20\cdot 115^{3k+2}+58\cdot 115^{2k+1}+115^{k+1}+1)\end{eqnarray}%%
Φ236(1182k+1)⋯Φ238(1192k+1)Φ236(1182k+1)⋯Φ238(1192k+1)
%%\begin{eqnarray}{\large\Phi}_{236}(118^{2k+1})|=|118^{232k+116}-118^{228k+114}+118^{224k+112}-118^{220k+110}+118^{216k+108}\\||-118^{212k+106}+118^{208k+104}-118^{204k+102}+118^{200k+100}-118^{196k+98}\\||+118^{192k+96}-118^{188k+94}+118^{184k+92}-118^{180k+90}+118^{176k+88}\\||-118^{172k+86}+118^{168k+84}-118^{164k+82}+118^{160k+80}-118^{156k+78}\\||+118^{152k+76}-118^{148k+74}+118^{144k+72}-118^{140k+70}+118^{136k+68}\\||-118^{132k+66}+118^{128k+64}-118^{124k+62}+118^{120k+60}-118^{116k+58}\\||+118^{112k+56}-118^{108k+54}+118^{104k+52}-118^{100k+50}+118^{96k+48}\\||-118^{92k+46}+118^{88k+44}-118^{84k+42}+118^{80k+40}-118^{76k+38}\\||+118^{72k+36}-118^{68k+34}+118^{64k+32}-118^{60k+30}+118^{56k+28}\\||-118^{52k+26}+118^{48k+24}-118^{44k+22}+118^{40k+20}-118^{36k+18}\\||+118^{32k+16}-118^{28k+14}+118^{24k+12}-118^{20k+10}+118^{16k+8}\\||-118^{12k+6}+118^{8k+4}-118^{4k+2}+1\\|=|(118^{116k+58}-118^{115k+58}+59\cdot 118^{114k+57}-20\cdot 118^{113k+57}+619\cdot 118^{112k+56}\\||-135\cdot 118^{111k+56}+3009\cdot 118^{110k+55}-504\cdot 118^{109k+55}+8961\cdot 118^{108k+54}-1225\cdot 118^{107k+54}\\||+17995\cdot 118^{106k+53}-2038\cdot 118^{105k+53}+24599\cdot 118^{104k+52}-2231\cdot 118^{103k+52}+20237\cdot 118^{102k+51}\\||-1148\cdot 118^{101k+51}+1685\cdot 118^{100k+50}+967\cdot 118^{99k+50}-21889\cdot 118^{98k+49}+2776\cdot 118^{97k+49}\\||-33465\cdot 118^{96k+48}+2849\cdot 118^{95k+48}-22951\cdot 118^{94k+47}+1010\cdot 118^{93k+47}+2725\cdot 118^{92k+46}\\||-1443\cdot 118^{91k+46}+25783\cdot 118^{90k+45}-2922\cdot 118^{89k+45}+33211\cdot 118^{88k+44}-2829\cdot 118^{87k+44}\\||+25429\cdot 118^{86k+43}-1720\cdot 118^{85k+43}+11813\cdot 118^{84k+42}-539\cdot 118^{83k+42}+1475\cdot 118^{82k+41}\\||+98\cdot 118^{81k+41}-1897\cdot 118^{80k+40}+137\cdot 118^{79k+40}-531\cdot 118^{78k+39}-18\cdot 118^{77k+39}\\||+41\cdot 118^{76k+38}+117\cdot 118^{75k+38}-3481\cdot 118^{74k+37}+532\cdot 118^{73k+37}-6977\cdot 118^{72k+36}\\||+541\cdot 118^{71k+36}-1711\cdot 118^{70k+35}-506\cdot 118^{69k+35}+14757\cdot 118^{68k+34}-2231\cdot 118^{67k+34}\\||+31683\cdot 118^{66k+33}-3226\cdot 118^{65k+33}+33031\cdot 118^{64k+32}-2353\cdot 118^{63k+32}+13865\cdot 118^{62k+31}\\||-24\cdot 118^{61k+31}-12375\cdot 118^{60k+30}+1959\cdot 118^{59k+30}-24485\cdot 118^{58k+29}+1959\cdot 118^{57k+29}\\||-12375\cdot 118^{56k+28}-24\cdot 118^{55k+28}+13865\cdot 118^{54k+27}-2353\cdot 118^{53k+27}+33031\cdot 118^{52k+26}\\||-3226\cdot 118^{51k+26}+31683\cdot 118^{50k+25}-2231\cdot 118^{49k+25}+14757\cdot 118^{48k+24}-506\cdot 118^{47k+24}\\||-1711\cdot 118^{46k+23}+541\cdot 118^{45k+23}-6977\cdot 118^{44k+22}+532\cdot 118^{43k+22}-3481\cdot 118^{42k+21}\\||+117\cdot 118^{41k+21}+41\cdot 118^{40k+20}-18\cdot 118^{39k+20}-531\cdot 118^{38k+19}+137\cdot 118^{37k+19}\\||-1897\cdot 118^{36k+18}+98\cdot 118^{35k+18}+1475\cdot 118^{34k+17}-539\cdot 118^{33k+17}+11813\cdot 118^{32k+16}\\||-1720\cdot 118^{31k+16}+25429\cdot 118^{30k+15}-2829\cdot 118^{29k+15}+33211\cdot 118^{28k+14}-2922\cdot 118^{27k+14}\\||+25783\cdot 118^{26k+13}-1443\cdot 118^{25k+13}+2725\cdot 118^{24k+12}+1010\cdot 118^{23k+12}-22951\cdot 118^{22k+11}\\||+2849\cdot 118^{21k+11}-33465\cdot 118^{20k+10}+2776\cdot 118^{19k+10}-21889\cdot 118^{18k+9}+967\cdot 118^{17k+9}\\||+1685\cdot 118^{16k+8}-1148\cdot 118^{15k+8}+20237\cdot 118^{14k+7}-2231\cdot 118^{13k+7}+24599\cdot 118^{12k+6}\\||-2038\cdot 118^{11k+6}+17995\cdot 118^{10k+5}-1225\cdot 118^{9k+5}+8961\cdot 118^{8k+4}-504\cdot 118^{7k+4}\\||+3009\cdot 118^{6k+3}-135\cdot 118^{5k+3}+619\cdot 118^{4k+2}-20\cdot 118^{3k+2}+59\cdot 118^{2k+1}\\||-118^{k+1}+1)\\|\times|(118^{116k+58}+118^{115k+58}+59\cdot 118^{114k+57}+20\cdot 118^{113k+57}+619\cdot 118^{112k+56}\\||+135\cdot 118^{111k+56}+3009\cdot 118^{110k+55}+504\cdot 118^{109k+55}+8961\cdot 118^{108k+54}+1225\cdot 118^{107k+54}\\||+17995\cdot 118^{106k+53}+2038\cdot 118^{105k+53}+24599\cdot 118^{104k+52}+2231\cdot 118^{103k+52}+20237\cdot 118^{102k+51}\\||+1148\cdot 118^{101k+51}+1685\cdot 118^{100k+50}-967\cdot 118^{99k+50}-21889\cdot 118^{98k+49}-2776\cdot 118^{97k+49}\\||-33465\cdot 118^{96k+48}-2849\cdot 118^{95k+48}-22951\cdot 118^{94k+47}-1010\cdot 118^{93k+47}+2725\cdot 118^{92k+46}\\||+1443\cdot 118^{91k+46}+25783\cdot 118^{90k+45}+2922\cdot 118^{89k+45}+33211\cdot 118^{88k+44}+2829\cdot 118^{87k+44}\\||+25429\cdot 118^{86k+43}+1720\cdot 118^{85k+43}+11813\cdot 118^{84k+42}+539\cdot 118^{83k+42}+1475\cdot 118^{82k+41}\\||-98\cdot 118^{81k+41}-1897\cdot 118^{80k+40}-137\cdot 118^{79k+40}-531\cdot 118^{78k+39}+18\cdot 118^{77k+39}\\||+41\cdot 118^{76k+38}-117\cdot 118^{75k+38}-3481\cdot 118^{74k+37}-532\cdot 118^{73k+37}-6977\cdot 118^{72k+36}\\||-541\cdot 118^{71k+36}-1711\cdot 118^{70k+35}+506\cdot 118^{69k+35}+14757\cdot 118^{68k+34}+2231\cdot 118^{67k+34}\\||+31683\cdot 118^{66k+33}+3226\cdot 118^{65k+33}+33031\cdot 118^{64k+32}+2353\cdot 118^{63k+32}+13865\cdot 118^{62k+31}\\||+24\cdot 118^{61k+31}-12375\cdot 118^{60k+30}-1959\cdot 118^{59k+30}-24485\cdot 118^{58k+29}-1959\cdot 118^{57k+29}\\||-12375\cdot 118^{56k+28}+24\cdot 118^{55k+28}+13865\cdot 118^{54k+27}+2353\cdot 118^{53k+27}+33031\cdot 118^{52k+26}\\||+3226\cdot 118^{51k+26}+31683\cdot 118^{50k+25}+2231\cdot 118^{49k+25}+14757\cdot 118^{48k+24}+506\cdot 118^{47k+24}\\||-1711\cdot 118^{46k+23}-541\cdot 118^{45k+23}-6977\cdot 118^{44k+22}-532\cdot 118^{43k+22}-3481\cdot 118^{42k+21}\\||-117\cdot 118^{41k+21}+41\cdot 118^{40k+20}+18\cdot 118^{39k+20}-531\cdot 118^{38k+19}-137\cdot 118^{37k+19}\\||-1897\cdot 118^{36k+18}-98\cdot 118^{35k+18}+1475\cdot 118^{34k+17}+539\cdot 118^{33k+17}+11813\cdot 118^{32k+16}\\||+1720\cdot 118^{31k+16}+25429\cdot 118^{30k+15}+2829\cdot 118^{29k+15}+33211\cdot 118^{28k+14}+2922\cdot 118^{27k+14}\\||+25783\cdot 118^{26k+13}+1443\cdot 118^{25k+13}+2725\cdot 118^{24k+12}-1010\cdot 118^{23k+12}-22951\cdot 118^{22k+11}\\||-2849\cdot 118^{21k+11}-33465\cdot 118^{20k+10}-2776\cdot 118^{19k+10}-21889\cdot 118^{18k+9}-967\cdot 118^{17k+9}\\||+1685\cdot 118^{16k+8}+1148\cdot 118^{15k+8}+20237\cdot 118^{14k+7}+2231\cdot 118^{13k+7}+24599\cdot 118^{12k+6}\\||+2038\cdot 118^{11k+6}+17995\cdot 118^{10k+5}+1225\cdot 118^{9k+5}+8961\cdot 118^{8k+4}+504\cdot 118^{7k+4}\\||+3009\cdot 118^{6k+3}+135\cdot 118^{5k+3}+619\cdot 118^{4k+2}+20\cdot 118^{3k+2}+59\cdot 118^{2k+1}\\||+118^{k+1}+1)\\{\large\Phi}_{238}(119^{2k+1})|=|119^{192k+96}+119^{190k+95}-119^{178k+89}-119^{176k+88}+119^{164k+82}\\||+119^{162k+81}-119^{158k+79}-119^{156k+78}-119^{150k+75}-119^{148k+74}\\||+119^{144k+72}+119^{142k+71}+119^{136k+68}+119^{134k+67}-119^{130k+65}\\||-119^{128k+64}+119^{124k+62}-119^{120k+60}+119^{116k+58}+119^{114k+57}\\||-119^{110k+55}+119^{106k+53}-119^{102k+51}-119^{100k+50}+119^{96k+48}\\||-119^{92k+46}-119^{90k+45}+119^{86k+43}-119^{82k+41}+119^{78k+39}\\||+119^{76k+38}-119^{72k+36}+119^{68k+34}-119^{64k+32}-119^{62k+31}\\||+119^{58k+29}+119^{56k+28}+119^{50k+25}+119^{48k+24}-119^{44k+22}\\||-119^{42k+21}-119^{36k+18}-119^{34k+17}+119^{30k+15}+119^{28k+14}\\||-119^{16k+8}-119^{14k+7}+119^{2k+1}+1\\|=|(119^{96k+48}-119^{95k+48}+60\cdot 119^{94k+47}-20\cdot 119^{93k+47}+580\cdot 119^{92k+46}\\||-108\cdot 119^{91k+46}+1852\cdot 119^{90k+45}-203\cdot 119^{89k+45}+1877\cdot 119^{88k+44}-80\cdot 119^{87k+44}\\||-112\cdot 119^{86k+43}+10\cdot 119^{85k+43}+1274\cdot 119^{84k+42}-302\cdot 119^{83k+42}+4549\cdot 119^{82k+41}\\||-387\cdot 119^{81k+41}+2852\cdot 119^{80k+40}-155\cdot 119^{79k+40}+1275\cdot 119^{78k+39}-84\cdot 119^{77k+39}\\||-144\cdot 119^{76k+38}+117\cdot 119^{75k+38}-743\cdot 119^{74k+37}-200\cdot 119^{73k+37}+5649\cdot 119^{72k+36}\\||-593\cdot 119^{71k+36}+3290\cdot 119^{70k+35}+154\cdot 119^{69k+35}-4563\cdot 119^{68k+34}+321\cdot 119^{67k+34}\\||-220\cdot 119^{66k+33}-197\cdot 119^{65k+33}+2393\cdot 119^{64k+32}-180\cdot 119^{63k+32}+2555\cdot 119^{62k+31}\\||-334\cdot 119^{61k+31}+3009\cdot 119^{60k+30}+36\cdot 119^{59k+30}-4651\cdot 119^{58k+29}+587\cdot 119^{57k+29}\\||-4090\cdot 119^{56k+28}-43\cdot 119^{55k+28}+3726\cdot 119^{54k+27}-321\cdot 119^{53k+27}+528\cdot 119^{52k+26}\\||+249\cdot 119^{51k+26}-4381\cdot 119^{50k+25}+414\cdot 119^{49k+25}-4333\cdot 119^{48k+24}+414\cdot 119^{47k+24}\\||-4381\cdot 119^{46k+23}+249\cdot 119^{45k+23}+528\cdot 119^{44k+22}-321\cdot 119^{43k+22}+3726\cdot 119^{42k+21}\\||-43\cdot 119^{41k+21}-4090\cdot 119^{40k+20}+587\cdot 119^{39k+20}-4651\cdot 119^{38k+19}+36\cdot 119^{37k+19}\\||+3009\cdot 119^{36k+18}-334\cdot 119^{35k+18}+2555\cdot 119^{34k+17}-180\cdot 119^{33k+17}+2393\cdot 119^{32k+16}\\||-197\cdot 119^{31k+16}-220\cdot 119^{30k+15}+321\cdot 119^{29k+15}-4563\cdot 119^{28k+14}+154\cdot 119^{27k+14}\\||+3290\cdot 119^{26k+13}-593\cdot 119^{25k+13}+5649\cdot 119^{24k+12}-200\cdot 119^{23k+12}-743\cdot 119^{22k+11}\\||+117\cdot 119^{21k+11}-144\cdot 119^{20k+10}-84\cdot 119^{19k+10}+1275\cdot 119^{18k+9}-155\cdot 119^{17k+9}\\||+2852\cdot 119^{16k+8}-387\cdot 119^{15k+8}+4549\cdot 119^{14k+7}-302\cdot 119^{13k+7}+1274\cdot 119^{12k+6}\\||+10\cdot 119^{11k+6}-112\cdot 119^{10k+5}-80\cdot 119^{9k+5}+1877\cdot 119^{8k+4}-203\cdot 119^{7k+4}\\||+1852\cdot 119^{6k+3}-108\cdot 119^{5k+3}+580\cdot 119^{4k+2}-20\cdot 119^{3k+2}+60\cdot 119^{2k+1}\\||-119^{k+1}+1)\\|\times|(119^{96k+48}+119^{95k+48}+60\cdot 119^{94k+47}+20\cdot 119^{93k+47}+580\cdot 119^{92k+46}\\||+108\cdot 119^{91k+46}+1852\cdot 119^{90k+45}+203\cdot 119^{89k+45}+1877\cdot 119^{88k+44}+80\cdot 119^{87k+44}\\||-112\cdot 119^{86k+43}-10\cdot 119^{85k+43}+1274\cdot 119^{84k+42}+302\cdot 119^{83k+42}+4549\cdot 119^{82k+41}\\||+387\cdot 119^{81k+41}+2852\cdot 119^{80k+40}+155\cdot 119^{79k+40}+1275\cdot 119^{78k+39}+84\cdot 119^{77k+39}\\||-144\cdot 119^{76k+38}-117\cdot 119^{75k+38}-743\cdot 119^{74k+37}+200\cdot 119^{73k+37}+5649\cdot 119^{72k+36}\\||+593\cdot 119^{71k+36}+3290\cdot 119^{70k+35}-154\cdot 119^{69k+35}-4563\cdot 119^{68k+34}-321\cdot 119^{67k+34}\\||-220\cdot 119^{66k+33}+197\cdot 119^{65k+33}+2393\cdot 119^{64k+32}+180\cdot 119^{63k+32}+2555\cdot 119^{62k+31}\\||+334\cdot 119^{61k+31}+3009\cdot 119^{60k+30}-36\cdot 119^{59k+30}-4651\cdot 119^{58k+29}-587\cdot 119^{57k+29}\\||-4090\cdot 119^{56k+28}+43\cdot 119^{55k+28}+3726\cdot 119^{54k+27}+321\cdot 119^{53k+27}+528\cdot 119^{52k+26}\\||-249\cdot 119^{51k+26}-4381\cdot 119^{50k+25}-414\cdot 119^{49k+25}-4333\cdot 119^{48k+24}-414\cdot 119^{47k+24}\\||-4381\cdot 119^{46k+23}-249\cdot 119^{45k+23}+528\cdot 119^{44k+22}+321\cdot 119^{43k+22}+3726\cdot 119^{42k+21}\\||+43\cdot 119^{41k+21}-4090\cdot 119^{40k+20}-587\cdot 119^{39k+20}-4651\cdot 119^{38k+19}-36\cdot 119^{37k+19}\\||+3009\cdot 119^{36k+18}+334\cdot 119^{35k+18}+2555\cdot 119^{34k+17}+180\cdot 119^{33k+17}+2393\cdot 119^{32k+16}\\||+197\cdot 119^{31k+16}-220\cdot 119^{30k+15}-321\cdot 119^{29k+15}-4563\cdot 119^{28k+14}-154\cdot 119^{27k+14}\\||+3290\cdot 119^{26k+13}+593\cdot 119^{25k+13}+5649\cdot 119^{24k+12}+200\cdot 119^{23k+12}-743\cdot 119^{22k+11}\\||-117\cdot 119^{21k+11}-144\cdot 119^{20k+10}+84\cdot 119^{19k+10}+1275\cdot 119^{18k+9}+155\cdot 119^{17k+9}\\||+2852\cdot 119^{16k+8}+387\cdot 119^{15k+8}+4549\cdot 119^{14k+7}+302\cdot 119^{13k+7}+1274\cdot 119^{12k+6}\\||-10\cdot 119^{11k+6}-112\cdot 119^{10k+5}+80\cdot 119^{9k+5}+1877\cdot 119^{8k+4}+203\cdot 119^{7k+4}\\||+1852\cdot 119^{6k+3}+108\cdot 119^{5k+3}+580\cdot 119^{4k+2}+20\cdot 119^{3k+2}+60\cdot 119^{2k+1}\\||+119^{k+1}+1)\end{eqnarray}%%
Φ244(1222k+1)⋯Φ246(1232k+1)Φ244(1222k+1)⋯Φ246(1232k+1)
%%\begin{eqnarray}{\large\Phi}_{244}(122^{2k+1})|=|122^{240k+120}-122^{236k+118}+122^{232k+116}-122^{228k+114}+122^{224k+112}\\||-122^{220k+110}+122^{216k+108}-122^{212k+106}+122^{208k+104}-122^{204k+102}\\||+122^{200k+100}-122^{196k+98}+122^{192k+96}-122^{188k+94}+122^{184k+92}\\||-122^{180k+90}+122^{176k+88}-122^{172k+86}+122^{168k+84}-122^{164k+82}\\||+122^{160k+80}-122^{156k+78}+122^{152k+76}-122^{148k+74}+122^{144k+72}\\||-122^{140k+70}+122^{136k+68}-122^{132k+66}+122^{128k+64}-122^{124k+62}\\||+122^{120k+60}-122^{116k+58}+122^{112k+56}-122^{108k+54}+122^{104k+52}\\||-122^{100k+50}+122^{96k+48}-122^{92k+46}+122^{88k+44}-122^{84k+42}\\||+122^{80k+40}-122^{76k+38}+122^{72k+36}-122^{68k+34}+122^{64k+32}\\||-122^{60k+30}+122^{56k+28}-122^{52k+26}+122^{48k+24}-122^{44k+22}\\||+122^{40k+20}-122^{36k+18}+122^{32k+16}-122^{28k+14}+122^{24k+12}\\||-122^{20k+10}+122^{16k+8}-122^{12k+6}+122^{8k+4}-122^{4k+2}+1\\|=|(122^{120k+60}-122^{119k+60}+61\cdot 122^{118k+59}-20\cdot 122^{117k+59}+579\cdot 122^{116k+58}\\||-103\cdot 122^{115k+58}+1647\cdot 122^{114k+57}-138\cdot 122^{113k+57}+69\cdot 122^{112k+56}+269\cdot 122^{111k+56}\\||-6771\cdot 122^{110k+55}+840\cdot 122^{109k+55}-7957\cdot 122^{108k+54}+117\cdot 122^{107k+54}+9699\cdot 122^{106k+53}\\||-1896\cdot 122^{105k+53}+26429\cdot 122^{104k+52}-1891\cdot 122^{103k+52}+2989\cdot 122^{102k+51}+2038\cdot 122^{101k+51}\\||-45313\cdot 122^{100k+50}+4833\cdot 122^{99k+50}-38857\cdot 122^{98k+49}+294\cdot 122^{97k+49}+41237\cdot 122^{96k+48}\\||-6859\cdot 122^{95k+48}+83021\cdot 122^{94k+47}-5050\cdot 122^{93k+47}+1511\cdot 122^{92k+46}+5377\cdot 122^{91k+46}\\||-101565\cdot 122^{90k+45}+9562\cdot 122^{89k+45}-67247\cdot 122^{88k+44}+15\cdot 122^{87k+44}+69113\cdot 122^{86k+43}\\||-10190\cdot 122^{85k+43}+112755\cdot 122^{84k+42}-6359\cdot 122^{83k+42}+2623\cdot 122^{82k+41}+5736\cdot 122^{81k+41}\\||-103015\cdot 122^{80k+40}+9343\cdot 122^{79k+40}-66551\cdot 122^{78k+39}+850\cdot 122^{77k+39}+45659\cdot 122^{76k+38}\\||-7149\cdot 122^{75k+38}+81191\cdot 122^{74k+37}-5034\cdot 122^{73k+37}+14989\cdot 122^{72k+36}+2221\cdot 122^{71k+36}\\||-49715\cdot 122^{70k+35}+4904\cdot 122^{69k+35}-39453\cdot 122^{68k+34}+1235\cdot 122^{67k+34}+12139\cdot 122^{66k+33}\\||-2544\cdot 122^{65k+33}+29541\cdot 122^{64k+32}-1653\cdot 122^{63k+32}+1037\cdot 122^{62k+31}+1242\cdot 122^{61k+31}\\||-19449\cdot 122^{60k+30}+1242\cdot 122^{59k+30}+1037\cdot 122^{58k+29}-1653\cdot 122^{57k+29}+29541\cdot 122^{56k+28}\\||-2544\cdot 122^{55k+28}+12139\cdot 122^{54k+27}+1235\cdot 122^{53k+27}-39453\cdot 122^{52k+26}+4904\cdot 122^{51k+26}\\||-49715\cdot 122^{50k+25}+2221\cdot 122^{49k+25}+14989\cdot 122^{48k+24}-5034\cdot 122^{47k+24}+81191\cdot 122^{46k+23}\\||-7149\cdot 122^{45k+23}+45659\cdot 122^{44k+22}+850\cdot 122^{43k+22}-66551\cdot 122^{42k+21}+9343\cdot 122^{41k+21}\\||-103015\cdot 122^{40k+20}+5736\cdot 122^{39k+20}+2623\cdot 122^{38k+19}-6359\cdot 122^{37k+19}+112755\cdot 122^{36k+18}\\||-10190\cdot 122^{35k+18}+69113\cdot 122^{34k+17}+15\cdot 122^{33k+17}-67247\cdot 122^{32k+16}+9562\cdot 122^{31k+16}\\||-101565\cdot 122^{30k+15}+5377\cdot 122^{29k+15}+1511\cdot 122^{28k+14}-5050\cdot 122^{27k+14}+83021\cdot 122^{26k+13}\\||-6859\cdot 122^{25k+13}+41237\cdot 122^{24k+12}+294\cdot 122^{23k+12}-38857\cdot 122^{22k+11}+4833\cdot 122^{21k+11}\\||-45313\cdot 122^{20k+10}+2038\cdot 122^{19k+10}+2989\cdot 122^{18k+9}-1891\cdot 122^{17k+9}+26429\cdot 122^{16k+8}\\||-1896\cdot 122^{15k+8}+9699\cdot 122^{14k+7}+117\cdot 122^{13k+7}-7957\cdot 122^{12k+6}+840\cdot 122^{11k+6}\\||-6771\cdot 122^{10k+5}+269\cdot 122^{9k+5}+69\cdot 122^{8k+4}-138\cdot 122^{7k+4}+1647\cdot 122^{6k+3}\\||-103\cdot 122^{5k+3}+579\cdot 122^{4k+2}-20\cdot 122^{3k+2}+61\cdot 122^{2k+1}-122^{k+1}+1)\\|\times|(122^{120k+60}+122^{119k+60}+61\cdot 122^{118k+59}+20\cdot 122^{117k+59}+579\cdot 122^{116k+58}\\||+103\cdot 122^{115k+58}+1647\cdot 122^{114k+57}+138\cdot 122^{113k+57}+69\cdot 122^{112k+56}-269\cdot 122^{111k+56}\\||-6771\cdot 122^{110k+55}-840\cdot 122^{109k+55}-7957\cdot 122^{108k+54}-117\cdot 122^{107k+54}+9699\cdot 122^{106k+53}\\||+1896\cdot 122^{105k+53}+26429\cdot 122^{104k+52}+1891\cdot 122^{103k+52}+2989\cdot 122^{102k+51}-2038\cdot 122^{101k+51}\\||-45313\cdot 122^{100k+50}-4833\cdot 122^{99k+50}-38857\cdot 122^{98k+49}-294\cdot 122^{97k+49}+41237\cdot 122^{96k+48}\\||+6859\cdot 122^{95k+48}+83021\cdot 122^{94k+47}+5050\cdot 122^{93k+47}+1511\cdot 122^{92k+46}-5377\cdot 122^{91k+46}\\||-101565\cdot 122^{90k+45}-9562\cdot 122^{89k+45}-67247\cdot 122^{88k+44}-15\cdot 122^{87k+44}+69113\cdot 122^{86k+43}\\||+10190\cdot 122^{85k+43}+112755\cdot 122^{84k+42}+6359\cdot 122^{83k+42}+2623\cdot 122^{82k+41}-5736\cdot 122^{81k+41}\\||-103015\cdot 122^{80k+40}-9343\cdot 122^{79k+40}-66551\cdot 122^{78k+39}-850\cdot 122^{77k+39}+45659\cdot 122^{76k+38}\\||+7149\cdot 122^{75k+38}+81191\cdot 122^{74k+37}+5034\cdot 122^{73k+37}+14989\cdot 122^{72k+36}-2221\cdot 122^{71k+36}\\||-49715\cdot 122^{70k+35}-4904\cdot 122^{69k+35}-39453\cdot 122^{68k+34}-1235\cdot 122^{67k+34}+12139\cdot 122^{66k+33}\\||+2544\cdot 122^{65k+33}+29541\cdot 122^{64k+32}+1653\cdot 122^{63k+32}+1037\cdot 122^{62k+31}-1242\cdot 122^{61k+31}\\||-19449\cdot 122^{60k+30}-1242\cdot 122^{59k+30}+1037\cdot 122^{58k+29}+1653\cdot 122^{57k+29}+29541\cdot 122^{56k+28}\\||+2544\cdot 122^{55k+28}+12139\cdot 122^{54k+27}-1235\cdot 122^{53k+27}-39453\cdot 122^{52k+26}-4904\cdot 122^{51k+26}\\||-49715\cdot 122^{50k+25}-2221\cdot 122^{49k+25}+14989\cdot 122^{48k+24}+5034\cdot 122^{47k+24}+81191\cdot 122^{46k+23}\\||+7149\cdot 122^{45k+23}+45659\cdot 122^{44k+22}-850\cdot 122^{43k+22}-66551\cdot 122^{42k+21}-9343\cdot 122^{41k+21}\\||-103015\cdot 122^{40k+20}-5736\cdot 122^{39k+20}+2623\cdot 122^{38k+19}+6359\cdot 122^{37k+19}+112755\cdot 122^{36k+18}\\||+10190\cdot 122^{35k+18}+69113\cdot 122^{34k+17}-15\cdot 122^{33k+17}-67247\cdot 122^{32k+16}-9562\cdot 122^{31k+16}\\||-101565\cdot 122^{30k+15}-5377\cdot 122^{29k+15}+1511\cdot 122^{28k+14}+5050\cdot 122^{27k+14}+83021\cdot 122^{26k+13}\\||+6859\cdot 122^{25k+13}+41237\cdot 122^{24k+12}-294\cdot 122^{23k+12}-38857\cdot 122^{22k+11}-4833\cdot 122^{21k+11}\\||-45313\cdot 122^{20k+10}-2038\cdot 122^{19k+10}+2989\cdot 122^{18k+9}+1891\cdot 122^{17k+9}+26429\cdot 122^{16k+8}\\||+1896\cdot 122^{15k+8}+9699\cdot 122^{14k+7}-117\cdot 122^{13k+7}-7957\cdot 122^{12k+6}-840\cdot 122^{11k+6}\\||-6771\cdot 122^{10k+5}-269\cdot 122^{9k+5}+69\cdot 122^{8k+4}+138\cdot 122^{7k+4}+1647\cdot 122^{6k+3}\\||+103\cdot 122^{5k+3}+579\cdot 122^{4k+2}+20\cdot 122^{3k+2}+61\cdot 122^{2k+1}+122^{k+1}+1)\\{\large\Phi}_{246}(123^{2k+1})|=|123^{160k+80}+123^{158k+79}-123^{154k+77}-123^{152k+76}+123^{148k+74}\\||+123^{146k+73}-123^{142k+71}-123^{140k+70}+123^{136k+68}+123^{134k+67}\\||-123^{130k+65}-123^{128k+64}+123^{124k+62}+123^{122k+61}-123^{118k+59}\\||-123^{116k+58}+123^{112k+56}+123^{110k+55}-123^{106k+53}-123^{104k+52}\\||+123^{100k+50}+123^{98k+49}-123^{94k+47}-123^{92k+46}+123^{88k+44}\\||+123^{86k+43}-123^{82k+41}-123^{80k+40}-123^{78k+39}+123^{74k+37}\\||+123^{72k+36}-123^{68k+34}-123^{66k+33}+123^{62k+31}+123^{60k+30}\\||-123^{56k+28}-123^{54k+27}+123^{50k+25}+123^{48k+24}-123^{44k+22}\\||-123^{42k+21}+123^{38k+19}+123^{36k+18}-123^{32k+16}-123^{30k+15}\\||+123^{26k+13}+123^{24k+12}-123^{20k+10}-123^{18k+9}+123^{14k+7}\\||+123^{12k+6}-123^{8k+4}-123^{6k+3}+123^{2k+1}+1\\|=|(123^{80k+40}-123^{79k+40}+62\cdot 123^{78k+39}-21\cdot 123^{77k+39}+661\cdot 123^{76k+38}\\||-136\cdot 123^{75k+38}+2867\cdot 123^{74k+37}-417\cdot 123^{73k+37}+6364\cdot 123^{72k+36}-667\cdot 123^{71k+36}\\||+7001\cdot 123^{70k+35}-432\cdot 123^{69k+35}+1063\cdot 123^{68k+34}+283\cdot 123^{67k+34}-6358\cdot 123^{66k+33}\\||+667\cdot 123^{65k+33}-5999\cdot 123^{64k+32}+282\cdot 123^{63k+32}-595\cdot 123^{62k+31}+11\cdot 123^{61k+31}\\||-2294\cdot 123^{60k+30}+543\cdot 123^{59k+30}-8917\cdot 123^{58k+29}+766\cdot 123^{57k+29}-3629\cdot 123^{56k+28}\\||-413\cdot 123^{55k+28}+13082\cdot 123^{54k+27}-1649\cdot 123^{53k+27}+17935\cdot 123^{52k+26}-1116\cdot 123^{51k+26}\\||+4541\cdot 123^{50k+25}+139\cdot 123^{49k+25}-2894\cdot 123^{48k+24}-65\cdot 123^{47k+24}+6563\cdot 123^{46k+23}\\||-932\cdot 123^{45k+23}+8557\cdot 123^{44k+22}-53\cdot 123^{43k+22}-10804\cdot 123^{42k+21}+1869\cdot 123^{41k+21}\\||-24647\cdot 123^{40k+20}+1869\cdot 123^{39k+20}-10804\cdot 123^{38k+19}-53\cdot 123^{37k+19}+8557\cdot 123^{36k+18}\\||-932\cdot 123^{35k+18}+6563\cdot 123^{34k+17}-65\cdot 123^{33k+17}-2894\cdot 123^{32k+16}+139\cdot 123^{31k+16}\\||+4541\cdot 123^{30k+15}-1116\cdot 123^{29k+15}+17935\cdot 123^{28k+14}-1649\cdot 123^{27k+14}+13082\cdot 123^{26k+13}\\||-413\cdot 123^{25k+13}-3629\cdot 123^{24k+12}+766\cdot 123^{23k+12}-8917\cdot 123^{22k+11}+543\cdot 123^{21k+11}\\||-2294\cdot 123^{20k+10}+11\cdot 123^{19k+10}-595\cdot 123^{18k+9}+282\cdot 123^{17k+9}-5999\cdot 123^{16k+8}\\||+667\cdot 123^{15k+8}-6358\cdot 123^{14k+7}+283\cdot 123^{13k+7}+1063\cdot 123^{12k+6}-432\cdot 123^{11k+6}\\||+7001\cdot 123^{10k+5}-667\cdot 123^{9k+5}+6364\cdot 123^{8k+4}-417\cdot 123^{7k+4}+2867\cdot 123^{6k+3}\\||-136\cdot 123^{5k+3}+661\cdot 123^{4k+2}-21\cdot 123^{3k+2}+62\cdot 123^{2k+1}-123^{k+1}+1)\\|\times|(123^{80k+40}+123^{79k+40}+62\cdot 123^{78k+39}+21\cdot 123^{77k+39}+661\cdot 123^{76k+38}\\||+136\cdot 123^{75k+38}+2867\cdot 123^{74k+37}+417\cdot 123^{73k+37}+6364\cdot 123^{72k+36}+667\cdot 123^{71k+36}\\||+7001\cdot 123^{70k+35}+432\cdot 123^{69k+35}+1063\cdot 123^{68k+34}-283\cdot 123^{67k+34}-6358\cdot 123^{66k+33}\\||-667\cdot 123^{65k+33}-5999\cdot 123^{64k+32}-282\cdot 123^{63k+32}-595\cdot 123^{62k+31}-11\cdot 123^{61k+31}\\||-2294\cdot 123^{60k+30}-543\cdot 123^{59k+30}-8917\cdot 123^{58k+29}-766\cdot 123^{57k+29}-3629\cdot 123^{56k+28}\\||+413\cdot 123^{55k+28}+13082\cdot 123^{54k+27}+1649\cdot 123^{53k+27}+17935\cdot 123^{52k+26}+1116\cdot 123^{51k+26}\\||+4541\cdot 123^{50k+25}-139\cdot 123^{49k+25}-2894\cdot 123^{48k+24}+65\cdot 123^{47k+24}+6563\cdot 123^{46k+23}\\||+932\cdot 123^{45k+23}+8557\cdot 123^{44k+22}+53\cdot 123^{43k+22}-10804\cdot 123^{42k+21}-1869\cdot 123^{41k+21}\\||-24647\cdot 123^{40k+20}-1869\cdot 123^{39k+20}-10804\cdot 123^{38k+19}+53\cdot 123^{37k+19}+8557\cdot 123^{36k+18}\\||+932\cdot 123^{35k+18}+6563\cdot 123^{34k+17}+65\cdot 123^{33k+17}-2894\cdot 123^{32k+16}-139\cdot 123^{31k+16}\\||+4541\cdot 123^{30k+15}+1116\cdot 123^{29k+15}+17935\cdot 123^{28k+14}+1649\cdot 123^{27k+14}+13082\cdot 123^{26k+13}\\||+413\cdot 123^{25k+13}-3629\cdot 123^{24k+12}-766\cdot 123^{23k+12}-8917\cdot 123^{22k+11}-543\cdot 123^{21k+11}\\||-2294\cdot 123^{20k+10}-11\cdot 123^{19k+10}-595\cdot 123^{18k+9}-282\cdot 123^{17k+9}-5999\cdot 123^{16k+8}\\||-667\cdot 123^{15k+8}-6358\cdot 123^{14k+7}-283\cdot 123^{13k+7}+1063\cdot 123^{12k+6}+432\cdot 123^{11k+6}\\||+7001\cdot 123^{10k+5}+667\cdot 123^{9k+5}+6364\cdot 123^{8k+4}+417\cdot 123^{7k+4}+2867\cdot 123^{6k+3}\\||+136\cdot 123^{5k+3}+661\cdot 123^{4k+2}+21\cdot 123^{3k+2}+62\cdot 123^{2k+1}+123^{k+1}+1)\end{eqnarray}%%
Φ254(1272k+1)⋯Φ260(1302k+1)Φ254(1272k+1)⋯Φ260(1302k+1)
%%\begin{eqnarray}{\large\Phi}_{254}(127^{2k+1})|=|127^{252k+126}-127^{250k+125}+127^{248k+124}-127^{246k+123}+127^{244k+122}\\||-127^{242k+121}+127^{240k+120}-127^{238k+119}+127^{236k+118}-127^{234k+117}\\||+127^{232k+116}-127^{230k+115}+127^{228k+114}-127^{226k+113}+127^{224k+112}\\||-127^{222k+111}+127^{220k+110}-127^{218k+109}+127^{216k+108}-127^{214k+107}\\||+127^{212k+106}-127^{210k+105}+127^{208k+104}-127^{206k+103}+127^{204k+102}\\||-127^{202k+101}+127^{200k+100}-127^{198k+99}+127^{196k+98}-127^{194k+97}\\||+127^{192k+96}-127^{190k+95}+127^{188k+94}-127^{186k+93}+127^{184k+92}\\||-127^{182k+91}+127^{180k+90}-127^{178k+89}+127^{176k+88}-127^{174k+87}\\||+127^{172k+86}-127^{170k+85}+127^{168k+84}-127^{166k+83}+127^{164k+82}\\||-127^{162k+81}+127^{160k+80}-127^{158k+79}+127^{156k+78}-127^{154k+77}\\||+127^{152k+76}-127^{150k+75}+127^{148k+74}-127^{146k+73}+127^{144k+72}\\||-127^{142k+71}+127^{140k+70}-127^{138k+69}+127^{136k+68}-127^{134k+67}\\||+127^{132k+66}-127^{130k+65}+127^{128k+64}-127^{126k+63}+127^{124k+62}\\||-127^{122k+61}+127^{120k+60}-127^{118k+59}+127^{116k+58}-127^{114k+57}\\||+127^{112k+56}-127^{110k+55}+127^{108k+54}-127^{106k+53}+127^{104k+52}\\||-127^{102k+51}+127^{100k+50}-127^{98k+49}+127^{96k+48}-127^{94k+47}\\||+127^{92k+46}-127^{90k+45}+127^{88k+44}-127^{86k+43}+127^{84k+42}\\||-127^{82k+41}+127^{80k+40}-127^{78k+39}+127^{76k+38}-127^{74k+37}\\||+127^{72k+36}-127^{70k+35}+127^{68k+34}-127^{66k+33}+127^{64k+32}\\||-127^{62k+31}+127^{60k+30}-127^{58k+29}+127^{56k+28}-127^{54k+27}\\||+127^{52k+26}-127^{50k+25}+127^{48k+24}-127^{46k+23}+127^{44k+22}\\||-127^{42k+21}+127^{40k+20}-127^{38k+19}+127^{36k+18}-127^{34k+17}\\||+127^{32k+16}-127^{30k+15}+127^{28k+14}-127^{26k+13}+127^{24k+12}\\||-127^{22k+11}+127^{20k+10}-127^{18k+9}+127^{16k+8}-127^{14k+7}\\||+127^{12k+6}-127^{10k+5}+127^{8k+4}-127^{6k+3}+127^{4k+2}\\||-127^{2k+1}+1\\|=|(127^{126k+63}-127^{125k+63}+63\cdot 127^{124k+62}-21\cdot 127^{123k+62}+683\cdot 127^{122k+61}\\||-145\cdot 127^{121k+61}+3389\cdot 127^{120k+60}-555\cdot 127^{119k+60}+10449\cdot 127^{118k+59}-1421\cdot 127^{117k+59}\\||+22765\cdot 127^{116k+58}-2689\cdot 127^{115k+58}+38113\cdot 127^{114k+57}-4057\cdot 127^{113k+57}+52829\cdot 127^{112k+56}\\||-5269\cdot 127^{111k+56}+65511\cdot 127^{110k+55}-6339\cdot 127^{109k+55}+77257\cdot 127^{108k+54}-7353\cdot 127^{107k+54}\\||+87953\cdot 127^{106k+53}-8173\cdot 127^{105k+53}+94959\cdot 127^{104k+52}-8553\cdot 127^{103k+52}+96529\cdot 127^{102k+51}\\||-8493\cdot 127^{101k+51}+94367\cdot 127^{100k+50}-8245\cdot 127^{99k+50}+91661\cdot 127^{98k+49}-8059\cdot 127^{97k+49}\\||+90621\cdot 127^{96k+48}-8101\cdot 127^{95k+48}+93047\cdot 127^{94k+47}-8521\cdot 127^{93k+47}+100171\cdot 127^{92k+46}\\||-9327\cdot 127^{91k+46}+110253\cdot 127^{90k+45}-10197\cdot 127^{89k+45}+118431\cdot 127^{88k+44}-10681\cdot 127^{87k+44}\\||+120645\cdot 127^{86k+43}-10597\cdot 127^{85k+43}+116987\cdot 127^{84k+42}-10089\cdot 127^{83k+42}+109847\cdot 127^{82k+41}\\||-9369\cdot 127^{81k+41}+101017\cdot 127^{80k+40}-8545\cdot 127^{79k+40}+91569\cdot 127^{78k+39}-7721\cdot 127^{77k+39}\\||+82863\cdot 127^{76k+38}-7037\cdot 127^{75k+38}+76423\cdot 127^{74k+37}-6597\cdot 127^{73k+37}+73213\cdot 127^{72k+36}\\||-6491\cdot 127^{71k+36}+74319\cdot 127^{70k+35}-6821\cdot 127^{69k+35}+80709\cdot 127^{68k+34}-7583\cdot 127^{67k+34}\\||+90505\cdot 127^{66k+33}-8433\cdot 127^{65k+33}+98163\cdot 127^{64k+32}-8809\cdot 127^{63k+32}+98163\cdot 127^{62k+31}\\||-8433\cdot 127^{61k+31}+90505\cdot 127^{60k+30}-7583\cdot 127^{59k+30}+80709\cdot 127^{58k+29}-6821\cdot 127^{57k+29}\\||+74319\cdot 127^{56k+28}-6491\cdot 127^{55k+28}+73213\cdot 127^{54k+27}-6597\cdot 127^{53k+27}+76423\cdot 127^{52k+26}\\||-7037\cdot 127^{51k+26}+82863\cdot 127^{50k+25}-7721\cdot 127^{49k+25}+91569\cdot 127^{48k+24}-8545\cdot 127^{47k+24}\\||+101017\cdot 127^{46k+23}-9369\cdot 127^{45k+23}+109847\cdot 127^{44k+22}-10089\cdot 127^{43k+22}+116987\cdot 127^{42k+21}\\||-10597\cdot 127^{41k+21}+120645\cdot 127^{40k+20}-10681\cdot 127^{39k+20}+118431\cdot 127^{38k+19}-10197\cdot 127^{37k+19}\\||+110253\cdot 127^{36k+18}-9327\cdot 127^{35k+18}+100171\cdot 127^{34k+17}-8521\cdot 127^{33k+17}+93047\cdot 127^{32k+16}\\||-8101\cdot 127^{31k+16}+90621\cdot 127^{30k+15}-8059\cdot 127^{29k+15}+91661\cdot 127^{28k+14}-8245\cdot 127^{27k+14}\\||+94367\cdot 127^{26k+13}-8493\cdot 127^{25k+13}+96529\cdot 127^{24k+12}-8553\cdot 127^{23k+12}+94959\cdot 127^{22k+11}\\||-8173\cdot 127^{21k+11}+87953\cdot 127^{20k+10}-7353\cdot 127^{19k+10}+77257\cdot 127^{18k+9}-6339\cdot 127^{17k+9}\\||+65511\cdot 127^{16k+8}-5269\cdot 127^{15k+8}+52829\cdot 127^{14k+7}-4057\cdot 127^{13k+7}+38113\cdot 127^{12k+6}\\||-2689\cdot 127^{11k+6}+22765\cdot 127^{10k+5}-1421\cdot 127^{9k+5}+10449\cdot 127^{8k+4}-555\cdot 127^{7k+4}\\||+3389\cdot 127^{6k+3}-145\cdot 127^{5k+3}+683\cdot 127^{4k+2}-21\cdot 127^{3k+2}+63\cdot 127^{2k+1}\\||-127^{k+1}+1)\\|\times|(127^{126k+63}+127^{125k+63}+63\cdot 127^{124k+62}+21\cdot 127^{123k+62}+683\cdot 127^{122k+61}\\||+145\cdot 127^{121k+61}+3389\cdot 127^{120k+60}+555\cdot 127^{119k+60}+10449\cdot 127^{118k+59}+1421\cdot 127^{117k+59}\\||+22765\cdot 127^{116k+58}+2689\cdot 127^{115k+58}+38113\cdot 127^{114k+57}+4057\cdot 127^{113k+57}+52829\cdot 127^{112k+56}\\||+5269\cdot 127^{111k+56}+65511\cdot 127^{110k+55}+6339\cdot 127^{109k+55}+77257\cdot 127^{108k+54}+7353\cdot 127^{107k+54}\\||+87953\cdot 127^{106k+53}+8173\cdot 127^{105k+53}+94959\cdot 127^{104k+52}+8553\cdot 127^{103k+52}+96529\cdot 127^{102k+51}\\||+8493\cdot 127^{101k+51}+94367\cdot 127^{100k+50}+8245\cdot 127^{99k+50}+91661\cdot 127^{98k+49}+8059\cdot 127^{97k+49}\\||+90621\cdot 127^{96k+48}+8101\cdot 127^{95k+48}+93047\cdot 127^{94k+47}+8521\cdot 127^{93k+47}+100171\cdot 127^{92k+46}\\||+9327\cdot 127^{91k+46}+110253\cdot 127^{90k+45}+10197\cdot 127^{89k+45}+118431\cdot 127^{88k+44}+10681\cdot 127^{87k+44}\\||+120645\cdot 127^{86k+43}+10597\cdot 127^{85k+43}+116987\cdot 127^{84k+42}+10089\cdot 127^{83k+42}+109847\cdot 127^{82k+41}\\||+9369\cdot 127^{81k+41}+101017\cdot 127^{80k+40}+8545\cdot 127^{79k+40}+91569\cdot 127^{78k+39}+7721\cdot 127^{77k+39}\\||+82863\cdot 127^{76k+38}+7037\cdot 127^{75k+38}+76423\cdot 127^{74k+37}+6597\cdot 127^{73k+37}+73213\cdot 127^{72k+36}\\||+6491\cdot 127^{71k+36}+74319\cdot 127^{70k+35}+6821\cdot 127^{69k+35}+80709\cdot 127^{68k+34}+7583\cdot 127^{67k+34}\\||+90505\cdot 127^{66k+33}+8433\cdot 127^{65k+33}+98163\cdot 127^{64k+32}+8809\cdot 127^{63k+32}+98163\cdot 127^{62k+31}\\||+8433\cdot 127^{61k+31}+90505\cdot 127^{60k+30}+7583\cdot 127^{59k+30}+80709\cdot 127^{58k+29}+6821\cdot 127^{57k+29}\\||+74319\cdot 127^{56k+28}+6491\cdot 127^{55k+28}+73213\cdot 127^{54k+27}+6597\cdot 127^{53k+27}+76423\cdot 127^{52k+26}\\||+7037\cdot 127^{51k+26}+82863\cdot 127^{50k+25}+7721\cdot 127^{49k+25}+91569\cdot 127^{48k+24}+8545\cdot 127^{47k+24}\\||+101017\cdot 127^{46k+23}+9369\cdot 127^{45k+23}+109847\cdot 127^{44k+22}+10089\cdot 127^{43k+22}+116987\cdot 127^{42k+21}\\||+10597\cdot 127^{41k+21}+120645\cdot 127^{40k+20}+10681\cdot 127^{39k+20}+118431\cdot 127^{38k+19}+10197\cdot 127^{37k+19}\\||+110253\cdot 127^{36k+18}+9327\cdot 127^{35k+18}+100171\cdot 127^{34k+17}+8521\cdot 127^{33k+17}+93047\cdot 127^{32k+16}\\||+8101\cdot 127^{31k+16}+90621\cdot 127^{30k+15}+8059\cdot 127^{29k+15}+91661\cdot 127^{28k+14}+8245\cdot 127^{27k+14}\\||+94367\cdot 127^{26k+13}+8493\cdot 127^{25k+13}+96529\cdot 127^{24k+12}+8553\cdot 127^{23k+12}+94959\cdot 127^{22k+11}\\||+8173\cdot 127^{21k+11}+87953\cdot 127^{20k+10}+7353\cdot 127^{19k+10}+77257\cdot 127^{18k+9}+6339\cdot 127^{17k+9}\\||+65511\cdot 127^{16k+8}+5269\cdot 127^{15k+8}+52829\cdot 127^{14k+7}+4057\cdot 127^{13k+7}+38113\cdot 127^{12k+6}\\||+2689\cdot 127^{11k+6}+22765\cdot 127^{10k+5}+1421\cdot 127^{9k+5}+10449\cdot 127^{8k+4}+555\cdot 127^{7k+4}\\||+3389\cdot 127^{6k+3}+145\cdot 127^{5k+3}+683\cdot 127^{4k+2}+21\cdot 127^{3k+2}+63\cdot 127^{2k+1}\\||+127^{k+1}+1)\\{\large\Phi}_{129}(129^{2k+1})|=|129^{168k+84}-129^{166k+83}+129^{162k+81}-129^{160k+80}+129^{156k+78}\\||-129^{154k+77}+129^{150k+75}-129^{148k+74}+129^{144k+72}-129^{142k+71}\\||+129^{138k+69}-129^{136k+68}+129^{132k+66}-129^{130k+65}+129^{126k+63}\\||-129^{124k+62}+129^{120k+60}-129^{118k+59}+129^{114k+57}-129^{112k+56}\\||+129^{108k+54}-129^{106k+53}+129^{102k+51}-129^{100k+50}+129^{96k+48}\\||-129^{94k+47}+129^{90k+45}-129^{88k+44}+129^{84k+42}-129^{80k+40}\\||+129^{78k+39}-129^{74k+37}+129^{72k+36}-129^{68k+34}+129^{66k+33}\\||-129^{62k+31}+129^{60k+30}-129^{56k+28}+129^{54k+27}-129^{50k+25}\\||+129^{48k+24}-129^{44k+22}+129^{42k+21}-129^{38k+19}+129^{36k+18}\\||-129^{32k+16}+129^{30k+15}-129^{26k+13}+129^{24k+12}-129^{20k+10}\\||+129^{18k+9}-129^{14k+7}+129^{12k+6}-129^{8k+4}+129^{6k+3}\\||-129^{2k+1}+1\\|=|(129^{84k+42}-129^{83k+42}+64\cdot 129^{82k+41}-21\cdot 129^{81k+41}+661\cdot 129^{80k+40}\\||-128\cdot 129^{79k+40}+2653\cdot 129^{78k+39}-367\cdot 129^{77k+39}+5842\cdot 129^{76k+38}-665\cdot 129^{75k+38}\\||+9235\cdot 129^{74k+37}-948\cdot 129^{73k+37}+11875\cdot 129^{72k+36}-1075\cdot 129^{71k+36}+11566\cdot 129^{70k+35}\\||-881\cdot 129^{69k+35}+7759\cdot 129^{68k+34}-444\cdot 129^{67k+34}+2035\cdot 129^{66k+33}+91\cdot 129^{65k+33}\\||-3866\cdot 129^{64k+32}+549\cdot 129^{63k+32}-8081\cdot 129^{62k+31}+830\cdot 129^{61k+31}-10271\cdot 129^{60k+30}\\||+937\cdot 129^{59k+30}-10742\cdot 129^{58k+29}+959\cdot 129^{57k+29}-11267\cdot 129^{56k+28}+1032\cdot 129^{55k+28}\\||-11939\cdot 129^{54k+27}+1031\cdot 129^{53k+27}-10988\cdot 129^{52k+26}+855\cdot 129^{51k+26}-7685\cdot 129^{50k+25}\\||+416\cdot 129^{49k+25}-881\cdot 129^{48k+24}-309\cdot 129^{47k+24}+7972\cdot 129^{46k+23}-1061\cdot 129^{45k+23}\\||+15349\cdot 129^{44k+22}-1542\cdot 129^{43k+22}+18271\cdot 129^{42k+21}-1542\cdot 129^{41k+21}+15349\cdot 129^{40k+20}\\||-1061\cdot 129^{39k+20}+7972\cdot 129^{38k+19}-309\cdot 129^{37k+19}-881\cdot 129^{36k+18}+416\cdot 129^{35k+18}\\||-7685\cdot 129^{34k+17}+855\cdot 129^{33k+17}-10988\cdot 129^{32k+16}+1031\cdot 129^{31k+16}-11939\cdot 129^{30k+15}\\||+1032\cdot 129^{29k+15}-11267\cdot 129^{28k+14}+959\cdot 129^{27k+14}-10742\cdot 129^{26k+13}+937\cdot 129^{25k+13}\\||-10271\cdot 129^{24k+12}+830\cdot 129^{23k+12}-8081\cdot 129^{22k+11}+549\cdot 129^{21k+11}-3866\cdot 129^{20k+10}\\||+91\cdot 129^{19k+10}+2035\cdot 129^{18k+9}-444\cdot 129^{17k+9}+7759\cdot 129^{16k+8}-881\cdot 129^{15k+8}\\||+11566\cdot 129^{14k+7}-1075\cdot 129^{13k+7}+11875\cdot 129^{12k+6}-948\cdot 129^{11k+6}+9235\cdot 129^{10k+5}\\||-665\cdot 129^{9k+5}+5842\cdot 129^{8k+4}-367\cdot 129^{7k+4}+2653\cdot 129^{6k+3}-128\cdot 129^{5k+3}\\||+661\cdot 129^{4k+2}-21\cdot 129^{3k+2}+64\cdot 129^{2k+1}-129^{k+1}+1)\\|\times|(129^{84k+42}+129^{83k+42}+64\cdot 129^{82k+41}+21\cdot 129^{81k+41}+661\cdot 129^{80k+40}\\||+128\cdot 129^{79k+40}+2653\cdot 129^{78k+39}+367\cdot 129^{77k+39}+5842\cdot 129^{76k+38}+665\cdot 129^{75k+38}\\||+9235\cdot 129^{74k+37}+948\cdot 129^{73k+37}+11875\cdot 129^{72k+36}+1075\cdot 129^{71k+36}+11566\cdot 129^{70k+35}\\||+881\cdot 129^{69k+35}+7759\cdot 129^{68k+34}+444\cdot 129^{67k+34}+2035\cdot 129^{66k+33}-91\cdot 129^{65k+33}\\||-3866\cdot 129^{64k+32}-549\cdot 129^{63k+32}-8081\cdot 129^{62k+31}-830\cdot 129^{61k+31}-10271\cdot 129^{60k+30}\\||-937\cdot 129^{59k+30}-10742\cdot 129^{58k+29}-959\cdot 129^{57k+29}-11267\cdot 129^{56k+28}-1032\cdot 129^{55k+28}\\||-11939\cdot 129^{54k+27}-1031\cdot 129^{53k+27}-10988\cdot 129^{52k+26}-855\cdot 129^{51k+26}-7685\cdot 129^{50k+25}\\||-416\cdot 129^{49k+25}-881\cdot 129^{48k+24}+309\cdot 129^{47k+24}+7972\cdot 129^{46k+23}+1061\cdot 129^{45k+23}\\||+15349\cdot 129^{44k+22}+1542\cdot 129^{43k+22}+18271\cdot 129^{42k+21}+1542\cdot 129^{41k+21}+15349\cdot 129^{40k+20}\\||+1061\cdot 129^{39k+20}+7972\cdot 129^{38k+19}+309\cdot 129^{37k+19}-881\cdot 129^{36k+18}-416\cdot 129^{35k+18}\\||-7685\cdot 129^{34k+17}-855\cdot 129^{33k+17}-10988\cdot 129^{32k+16}-1031\cdot 129^{31k+16}-11939\cdot 129^{30k+15}\\||-1032\cdot 129^{29k+15}-11267\cdot 129^{28k+14}-959\cdot 129^{27k+14}-10742\cdot 129^{26k+13}-937\cdot 129^{25k+13}\\||-10271\cdot 129^{24k+12}-830\cdot 129^{23k+12}-8081\cdot 129^{22k+11}-549\cdot 129^{21k+11}-3866\cdot 129^{20k+10}\\||-91\cdot 129^{19k+10}+2035\cdot 129^{18k+9}+444\cdot 129^{17k+9}+7759\cdot 129^{16k+8}+881\cdot 129^{15k+8}\\||+11566\cdot 129^{14k+7}+1075\cdot 129^{13k+7}+11875\cdot 129^{12k+6}+948\cdot 129^{11k+6}+9235\cdot 129^{10k+5}\\||+665\cdot 129^{9k+5}+5842\cdot 129^{8k+4}+367\cdot 129^{7k+4}+2653\cdot 129^{6k+3}+128\cdot 129^{5k+3}\\||+661\cdot 129^{4k+2}+21\cdot 129^{3k+2}+64\cdot 129^{2k+1}+129^{k+1}+1)\\{\large\Phi}_{260}(130^{2k+1})|=|130^{192k+96}+130^{188k+94}-130^{172k+86}-130^{168k+84}+130^{152k+76}\\||+130^{148k+74}-130^{140k+70}-130^{136k+68}-130^{132k+66}-130^{128k+64}\\||+130^{120k+60}+130^{116k+58}+130^{112k+56}+130^{108k+54}-130^{100k+50}\\||-130^{96k+48}-130^{92k+46}+130^{84k+42}+130^{80k+40}+130^{76k+38}\\||+130^{72k+36}-130^{64k+32}-130^{60k+30}-130^{56k+28}-130^{52k+26}\\||+130^{44k+22}+130^{40k+20}-130^{24k+12}-130^{20k+10}+130^{4k+2}+1\\|=|(130^{96k+48}-130^{95k+48}+65\cdot 130^{94k+47}-22\cdot 130^{93k+47}+748\cdot 130^{92k+46}\\||-163\cdot 130^{91k+46}+4030\cdot 130^{90k+45}-689\cdot 130^{89k+45}+14048\cdot 130^{88k+44}-2052\cdot 130^{87k+44}\\||+36725\cdot 130^{86k+43}-4811\cdot 130^{85k+43}+78581\cdot 130^{84k+42}-9533\cdot 130^{83k+42}+145990\cdot 130^{82k+41}\\||-16779\cdot 130^{81k+41}+245540\cdot 130^{80k+40}-27154\cdot 130^{79k+40}+384410\cdot 130^{78k+39}-41290\cdot 130^{77k+39}\\||+569349\cdot 130^{76k+38}-59685\cdot 130^{75k+38}+804375\cdot 130^{74k+37}-82509\cdot 130^{73k+37}+1089202\cdot 130^{72k+36}\\||-109556\cdot 130^{71k+36}+1419795\cdot 130^{70k+35}-140360\cdot 130^{69k+35}+1789837\cdot 130^{68k+34}-174284\cdot 130^{67k+34}\\||+2190955\cdot 130^{66k+33}-210470\cdot 130^{65k+33}+2611689\cdot 130^{64k+32}-247758\cdot 130^{63k+32}+3037190\cdot 130^{62k+31}\\||-284735\cdot 130^{61k+31}+3450605\cdot 130^{60k+30}-319907\cdot 130^{59k+30}+3835195\cdot 130^{58k+29}-351860\cdot 130^{57k+29}\\||+4175611\cdot 130^{56k+28}-379317\cdot 130^{55k+28}+4458025\cdot 130^{54k+27}-401127\cdot 130^{53k+27}+4670098\cdot 130^{52k+26}\\||-416294\cdot 130^{51k+26}+4801745\cdot 130^{50k+25}-424074\cdot 130^{49k+25}+4846383\cdot 130^{48k+24}-424074\cdot 130^{47k+24}\\||+4801745\cdot 130^{46k+23}-416294\cdot 130^{45k+23}+4670098\cdot 130^{44k+22}-401127\cdot 130^{43k+22}+4458025\cdot 130^{42k+21}\\||-379317\cdot 130^{41k+21}+4175611\cdot 130^{40k+20}-351860\cdot 130^{39k+20}+3835195\cdot 130^{38k+19}-319907\cdot 130^{37k+19}\\||+3450605\cdot 130^{36k+18}-284735\cdot 130^{35k+18}+3037190\cdot 130^{34k+17}-247758\cdot 130^{33k+17}+2611689\cdot 130^{32k+16}\\||-210470\cdot 130^{31k+16}+2190955\cdot 130^{30k+15}-174284\cdot 130^{29k+15}+1789837\cdot 130^{28k+14}-140360\cdot 130^{27k+14}\\||+1419795\cdot 130^{26k+13}-109556\cdot 130^{25k+13}+1089202\cdot 130^{24k+12}-82509\cdot 130^{23k+12}+804375\cdot 130^{22k+11}\\||-59685\cdot 130^{21k+11}+569349\cdot 130^{20k+10}-41290\cdot 130^{19k+10}+384410\cdot 130^{18k+9}-27154\cdot 130^{17k+9}\\||+245540\cdot 130^{16k+8}-16779\cdot 130^{15k+8}+145990\cdot 130^{14k+7}-9533\cdot 130^{13k+7}+78581\cdot 130^{12k+6}\\||-4811\cdot 130^{11k+6}+36725\cdot 130^{10k+5}-2052\cdot 130^{9k+5}+14048\cdot 130^{8k+4}-689\cdot 130^{7k+4}\\||+4030\cdot 130^{6k+3}-163\cdot 130^{5k+3}+748\cdot 130^{4k+2}-22\cdot 130^{3k+2}+65\cdot 130^{2k+1}\\||-130^{k+1}+1)\\|\times|(130^{96k+48}+130^{95k+48}+65\cdot 130^{94k+47}+22\cdot 130^{93k+47}+748\cdot 130^{92k+46}\\||+163\cdot 130^{91k+46}+4030\cdot 130^{90k+45}+689\cdot 130^{89k+45}+14048\cdot 130^{88k+44}+2052\cdot 130^{87k+44}\\||+36725\cdot 130^{86k+43}+4811\cdot 130^{85k+43}+78581\cdot 130^{84k+42}+9533\cdot 130^{83k+42}+145990\cdot 130^{82k+41}\\||+16779\cdot 130^{81k+41}+245540\cdot 130^{80k+40}+27154\cdot 130^{79k+40}+384410\cdot 130^{78k+39}+41290\cdot 130^{77k+39}\\||+569349\cdot 130^{76k+38}+59685\cdot 130^{75k+38}+804375\cdot 130^{74k+37}+82509\cdot 130^{73k+37}+1089202\cdot 130^{72k+36}\\||+109556\cdot 130^{71k+36}+1419795\cdot 130^{70k+35}+140360\cdot 130^{69k+35}+1789837\cdot 130^{68k+34}+174284\cdot 130^{67k+34}\\||+2190955\cdot 130^{66k+33}+210470\cdot 130^{65k+33}+2611689\cdot 130^{64k+32}+247758\cdot 130^{63k+32}+3037190\cdot 130^{62k+31}\\||+284735\cdot 130^{61k+31}+3450605\cdot 130^{60k+30}+319907\cdot 130^{59k+30}+3835195\cdot 130^{58k+29}+351860\cdot 130^{57k+29}\\||+4175611\cdot 130^{56k+28}+379317\cdot 130^{55k+28}+4458025\cdot 130^{54k+27}+401127\cdot 130^{53k+27}+4670098\cdot 130^{52k+26}\\||+416294\cdot 130^{51k+26}+4801745\cdot 130^{50k+25}+424074\cdot 130^{49k+25}+4846383\cdot 130^{48k+24}+424074\cdot 130^{47k+24}\\||+4801745\cdot 130^{46k+23}+416294\cdot 130^{45k+23}+4670098\cdot 130^{44k+22}+401127\cdot 130^{43k+22}+4458025\cdot 130^{42k+21}\\||+379317\cdot 130^{41k+21}+4175611\cdot 130^{40k+20}+351860\cdot 130^{39k+20}+3835195\cdot 130^{38k+19}+319907\cdot 130^{37k+19}\\||+3450605\cdot 130^{36k+18}+284735\cdot 130^{35k+18}+3037190\cdot 130^{34k+17}+247758\cdot 130^{33k+17}+2611689\cdot 130^{32k+16}\\||+210470\cdot 130^{31k+16}+2190955\cdot 130^{30k+15}+174284\cdot 130^{29k+15}+1789837\cdot 130^{28k+14}+140360\cdot 130^{27k+14}\\||+1419795\cdot 130^{26k+13}+109556\cdot 130^{25k+13}+1089202\cdot 130^{24k+12}+82509\cdot 130^{23k+12}+804375\cdot 130^{22k+11}\\||+59685\cdot 130^{21k+11}+569349\cdot 130^{20k+10}+41290\cdot 130^{19k+10}+384410\cdot 130^{18k+9}+27154\cdot 130^{17k+9}\\||+245540\cdot 130^{16k+8}+16779\cdot 130^{15k+8}+145990\cdot 130^{14k+7}+9533\cdot 130^{13k+7}+78581\cdot 130^{12k+6}\\||+4811\cdot 130^{11k+6}+36725\cdot 130^{10k+5}+2052\cdot 130^{9k+5}+14048\cdot 130^{8k+4}+689\cdot 130^{7k+4}\\||+4030\cdot 130^{6k+3}+163\cdot 130^{5k+3}+748\cdot 130^{4k+2}+22\cdot 130^{3k+2}+65\cdot 130^{2k+1}\\||+130^{k+1}+1)\end{eqnarray}%%
Φ262(1312k+1)⋯Φ268(1342k+1)Φ262(1312k+1)⋯Φ268(1342k+1)
%%\begin{eqnarray}{\large\Phi}_{262}(131^{2k+1})|=|131^{260k+130}-131^{258k+129}+131^{256k+128}-131^{254k+127}+131^{252k+126}\\||-131^{250k+125}+131^{248k+124}-131^{246k+123}+131^{244k+122}-131^{242k+121}\\||+131^{240k+120}-131^{238k+119}+131^{236k+118}-131^{234k+117}+131^{232k+116}\\||-131^{230k+115}+131^{228k+114}-131^{226k+113}+131^{224k+112}-131^{222k+111}\\||+131^{220k+110}-131^{218k+109}+131^{216k+108}-131^{214k+107}+131^{212k+106}\\||-131^{210k+105}+131^{208k+104}-131^{206k+103}+131^{204k+102}-131^{202k+101}\\||+131^{200k+100}-131^{198k+99}+131^{196k+98}-131^{194k+97}+131^{192k+96}\\||-131^{190k+95}+131^{188k+94}-131^{186k+93}+131^{184k+92}-131^{182k+91}\\||+131^{180k+90}-131^{178k+89}+131^{176k+88}-131^{174k+87}+131^{172k+86}\\||-131^{170k+85}+131^{168k+84}-131^{166k+83}+131^{164k+82}-131^{162k+81}\\||+131^{160k+80}-131^{158k+79}+131^{156k+78}-131^{154k+77}+131^{152k+76}\\||-131^{150k+75}+131^{148k+74}-131^{146k+73}+131^{144k+72}-131^{142k+71}\\||+131^{140k+70}-131^{138k+69}+131^{136k+68}-131^{134k+67}+131^{132k+66}\\||-131^{130k+65}+131^{128k+64}-131^{126k+63}+131^{124k+62}-131^{122k+61}\\||+131^{120k+60}-131^{118k+59}+131^{116k+58}-131^{114k+57}+131^{112k+56}\\||-131^{110k+55}+131^{108k+54}-131^{106k+53}+131^{104k+52}-131^{102k+51}\\||+131^{100k+50}-131^{98k+49}+131^{96k+48}-131^{94k+47}+131^{92k+46}\\||-131^{90k+45}+131^{88k+44}-131^{86k+43}+131^{84k+42}-131^{82k+41}\\||+131^{80k+40}-131^{78k+39}+131^{76k+38}-131^{74k+37}+131^{72k+36}\\||-131^{70k+35}+131^{68k+34}-131^{66k+33}+131^{64k+32}-131^{62k+31}\\||+131^{60k+30}-131^{58k+29}+131^{56k+28}-131^{54k+27}+131^{52k+26}\\||-131^{50k+25}+131^{48k+24}-131^{46k+23}+131^{44k+22}-131^{42k+21}\\||+131^{40k+20}-131^{38k+19}+131^{36k+18}-131^{34k+17}+131^{32k+16}\\||-131^{30k+15}+131^{28k+14}-131^{26k+13}+131^{24k+12}-131^{22k+11}\\||+131^{20k+10}-131^{18k+9}+131^{16k+8}-131^{14k+7}+131^{12k+6}\\||-131^{10k+5}+131^{8k+4}-131^{6k+3}+131^{4k+2}-131^{2k+1}+1\\|=|(131^{130k+65}-131^{129k+65}+65\cdot 131^{128k+64}-21\cdot 131^{127k+64}+639\cdot 131^{126k+63}\\||-111\cdot 131^{125k+63}+1891\cdot 131^{124k+62}-175\cdot 131^{123k+62}+1211\cdot 131^{122k+61}+21\cdot 131^{121k+61}\\||-1365\cdot 131^{120k+60}+105\cdot 131^{119k+60}+105\cdot 131^{118k+59}-105\cdot 131^{117k+59}+885\cdot 131^{116k+58}\\||+39\cdot 131^{115k+58}-1149\cdot 131^{114k+57}+31\cdot 131^{113k+57}+845\cdot 131^{112k+56}-67\cdot 131^{111k+56}\\||-639\cdot 131^{110k+55}+155\cdot 131^{109k+55}-1623\cdot 131^{108k+54}+81\cdot 131^{107k+54}-557\cdot 131^{106k+53}\\||-15\cdot 131^{105k+53}+2163\cdot 131^{104k+52}-359\cdot 131^{103k+52}+3449\cdot 131^{102k+51}-23\cdot 131^{101k+51}\\||-1845\cdot 131^{100k+50}+31\cdot 131^{99k+50}+2209\cdot 131^{98k+49}-125\cdot 131^{97k+49}-2433\cdot 131^{96k+48}\\||+365\cdot 131^{95k+48}-855\cdot 131^{94k+47}-327\cdot 131^{93k+47}+4173\cdot 131^{92k+46}-65\cdot 131^{91k+46}\\||-1655\cdot 131^{90k+45}+103\cdot 131^{89k+45}-1151\cdot 131^{88k+44}+315\cdot 131^{87k+44}-5053\cdot 131^{86k+43}\\||+165\cdot 131^{85k+43}+2981\cdot 131^{84k+42}-311\cdot 131^{83k+42}-187\cdot 131^{82k+41}+159\cdot 131^{81k+41}\\||+1957\cdot 131^{80k+40}-523\cdot 131^{79k+40}+4089\cdot 131^{78k+39}+155\cdot 131^{77k+39}-4399\cdot 131^{76k+38}\\||+143\cdot 131^{75k+38}+1525\cdot 131^{74k+37}-123\cdot 131^{73k+37}+717\cdot 131^{72k+36}-233\cdot 131^{71k+36}\\||+4607\cdot 131^{70k+35}-183\cdot 131^{69k+35}-3191\cdot 131^{68k+34}+443\cdot 131^{67k+34}-2105\cdot 131^{66k+33}\\||-15\cdot 131^{65k+33}-2105\cdot 131^{64k+32}+443\cdot 131^{63k+32}-3191\cdot 131^{62k+31}-183\cdot 131^{61k+31}\\||+4607\cdot 131^{60k+30}-233\cdot 131^{59k+30}+717\cdot 131^{58k+29}-123\cdot 131^{57k+29}+1525\cdot 131^{56k+28}\\||+143\cdot 131^{55k+28}-4399\cdot 131^{54k+27}+155\cdot 131^{53k+27}+4089\cdot 131^{52k+26}-523\cdot 131^{51k+26}\\||+1957\cdot 131^{50k+25}+159\cdot 131^{49k+25}-187\cdot 131^{48k+24}-311\cdot 131^{47k+24}+2981\cdot 131^{46k+23}\\||+165\cdot 131^{45k+23}-5053\cdot 131^{44k+22}+315\cdot 131^{43k+22}-1151\cdot 131^{42k+21}+103\cdot 131^{41k+21}\\||-1655\cdot 131^{40k+20}-65\cdot 131^{39k+20}+4173\cdot 131^{38k+19}-327\cdot 131^{37k+19}-855\cdot 131^{36k+18}\\||+365\cdot 131^{35k+18}-2433\cdot 131^{34k+17}-125\cdot 131^{33k+17}+2209\cdot 131^{32k+16}+31\cdot 131^{31k+16}\\||-1845\cdot 131^{30k+15}-23\cdot 131^{29k+15}+3449\cdot 131^{28k+14}-359\cdot 131^{27k+14}+2163\cdot 131^{26k+13}\\||-15\cdot 131^{25k+13}-557\cdot 131^{24k+12}+81\cdot 131^{23k+12}-1623\cdot 131^{22k+11}+155\cdot 131^{21k+11}\\||-639\cdot 131^{20k+10}-67\cdot 131^{19k+10}+845\cdot 131^{18k+9}+31\cdot 131^{17k+9}-1149\cdot 131^{16k+8}\\||+39\cdot 131^{15k+8}+885\cdot 131^{14k+7}-105\cdot 131^{13k+7}+105\cdot 131^{12k+6}+105\cdot 131^{11k+6}\\||-1365\cdot 131^{10k+5}+21\cdot 131^{9k+5}+1211\cdot 131^{8k+4}-175\cdot 131^{7k+4}+1891\cdot 131^{6k+3}\\||-111\cdot 131^{5k+3}+639\cdot 131^{4k+2}-21\cdot 131^{3k+2}+65\cdot 131^{2k+1}-131^{k+1}+1)\\|\times|(131^{130k+65}+131^{129k+65}+65\cdot 131^{128k+64}+21\cdot 131^{127k+64}+639\cdot 131^{126k+63}\\||+111\cdot 131^{125k+63}+1891\cdot 131^{124k+62}+175\cdot 131^{123k+62}+1211\cdot 131^{122k+61}-21\cdot 131^{121k+61}\\||-1365\cdot 131^{120k+60}-105\cdot 131^{119k+60}+105\cdot 131^{118k+59}+105\cdot 131^{117k+59}+885\cdot 131^{116k+58}\\||-39\cdot 131^{115k+58}-1149\cdot 131^{114k+57}-31\cdot 131^{113k+57}+845\cdot 131^{112k+56}+67\cdot 131^{111k+56}\\||-639\cdot 131^{110k+55}-155\cdot 131^{109k+55}-1623\cdot 131^{108k+54}-81\cdot 131^{107k+54}-557\cdot 131^{106k+53}\\||+15\cdot 131^{105k+53}+2163\cdot 131^{104k+52}+359\cdot 131^{103k+52}+3449\cdot 131^{102k+51}+23\cdot 131^{101k+51}\\||-1845\cdot 131^{100k+50}-31\cdot 131^{99k+50}+2209\cdot 131^{98k+49}+125\cdot 131^{97k+49}-2433\cdot 131^{96k+48}\\||-365\cdot 131^{95k+48}-855\cdot 131^{94k+47}+327\cdot 131^{93k+47}+4173\cdot 131^{92k+46}+65\cdot 131^{91k+46}\\||-1655\cdot 131^{90k+45}-103\cdot 131^{89k+45}-1151\cdot 131^{88k+44}-315\cdot 131^{87k+44}-5053\cdot 131^{86k+43}\\||-165\cdot 131^{85k+43}+2981\cdot 131^{84k+42}+311\cdot 131^{83k+42}-187\cdot 131^{82k+41}-159\cdot 131^{81k+41}\\||+1957\cdot 131^{80k+40}+523\cdot 131^{79k+40}+4089\cdot 131^{78k+39}-155\cdot 131^{77k+39}-4399\cdot 131^{76k+38}\\||-143\cdot 131^{75k+38}+1525\cdot 131^{74k+37}+123\cdot 131^{73k+37}+717\cdot 131^{72k+36}+233\cdot 131^{71k+36}\\||+4607\cdot 131^{70k+35}+183\cdot 131^{69k+35}-3191\cdot 131^{68k+34}-443\cdot 131^{67k+34}-2105\cdot 131^{66k+33}\\||+15\cdot 131^{65k+33}-2105\cdot 131^{64k+32}-443\cdot 131^{63k+32}-3191\cdot 131^{62k+31}+183\cdot 131^{61k+31}\\||+4607\cdot 131^{60k+30}+233\cdot 131^{59k+30}+717\cdot 131^{58k+29}+123\cdot 131^{57k+29}+1525\cdot 131^{56k+28}\\||-143\cdot 131^{55k+28}-4399\cdot 131^{54k+27}-155\cdot 131^{53k+27}+4089\cdot 131^{52k+26}+523\cdot 131^{51k+26}\\||+1957\cdot 131^{50k+25}-159\cdot 131^{49k+25}-187\cdot 131^{48k+24}+311\cdot 131^{47k+24}+2981\cdot 131^{46k+23}\\||-165\cdot 131^{45k+23}-5053\cdot 131^{44k+22}-315\cdot 131^{43k+22}-1151\cdot 131^{42k+21}-103\cdot 131^{41k+21}\\||-1655\cdot 131^{40k+20}+65\cdot 131^{39k+20}+4173\cdot 131^{38k+19}+327\cdot 131^{37k+19}-855\cdot 131^{36k+18}\\||-365\cdot 131^{35k+18}-2433\cdot 131^{34k+17}+125\cdot 131^{33k+17}+2209\cdot 131^{32k+16}-31\cdot 131^{31k+16}\\||-1845\cdot 131^{30k+15}+23\cdot 131^{29k+15}+3449\cdot 131^{28k+14}+359\cdot 131^{27k+14}+2163\cdot 131^{26k+13}\\||+15\cdot 131^{25k+13}-557\cdot 131^{24k+12}-81\cdot 131^{23k+12}-1623\cdot 131^{22k+11}-155\cdot 131^{21k+11}\\||-639\cdot 131^{20k+10}+67\cdot 131^{19k+10}+845\cdot 131^{18k+9}-31\cdot 131^{17k+9}-1149\cdot 131^{16k+8}\\||-39\cdot 131^{15k+8}+885\cdot 131^{14k+7}+105\cdot 131^{13k+7}+105\cdot 131^{12k+6}-105\cdot 131^{11k+6}\\||-1365\cdot 131^{10k+5}-21\cdot 131^{9k+5}+1211\cdot 131^{8k+4}+175\cdot 131^{7k+4}+1891\cdot 131^{6k+3}\\||+111\cdot 131^{5k+3}+639\cdot 131^{4k+2}+21\cdot 131^{3k+2}+65\cdot 131^{2k+1}+131^{k+1}+1)\\{\large\Phi}_{133}(133^{2k+1})|=|133^{216k+108}-133^{214k+107}+133^{202k+101}-133^{200k+100}+133^{188k+94}\\||-133^{186k+93}+133^{178k+89}-133^{176k+88}+133^{174k+87}-133^{172k+86}\\||+133^{164k+82}-133^{162k+81}+133^{160k+80}-133^{158k+79}+133^{150k+75}\\||-133^{148k+74}+133^{146k+73}-133^{144k+72}+133^{140k+70}-133^{138k+69}\\||+133^{136k+68}-133^{134k+67}+133^{132k+66}-133^{130k+65}+133^{126k+63}\\||-133^{124k+62}+133^{122k+61}-133^{120k+60}+133^{118k+59}-133^{116k+58}\\||+133^{112k+56}-133^{110k+55}+133^{108k+54}-133^{106k+53}+133^{104k+52}\\||-133^{100k+50}+133^{98k+49}-133^{96k+48}+133^{94k+47}-133^{92k+46}\\||+133^{90k+45}-133^{86k+43}+133^{84k+42}-133^{82k+41}+133^{80k+40}\\||-133^{78k+39}+133^{76k+38}-133^{72k+36}+133^{70k+35}-133^{68k+34}\\||+133^{66k+33}-133^{58k+29}+133^{56k+28}-133^{54k+27}+133^{52k+26}\\||-133^{44k+22}+133^{42k+21}-133^{40k+20}+133^{38k+19}-133^{30k+15}\\||+133^{28k+14}-133^{16k+8}+133^{14k+7}-133^{2k+1}+1\\|=|(133^{108k+54}-133^{107k+54}+66\cdot 133^{106k+53}-22\cdot 133^{105k+53}+748\cdot 133^{104k+52}\\||-158\cdot 133^{103k+52}+3832\cdot 133^{102k+51}-619\cdot 133^{101k+51}+11971\cdot 133^{100k+50}-1584\cdot 133^{99k+50}\\||+25550\cdot 133^{98k+49}-2852\cdot 133^{97k+49}+39046\cdot 133^{96k+48}-3708\cdot 133^{95k+48}+43191\cdot 133^{94k+47}\\||-3493\cdot 133^{93k+47}+35038\cdot 133^{92k+46}-2552\cdot 133^{91k+46}+25976\cdot 133^{90k+45}-2341\cdot 133^{89k+45}\\||+33799\cdot 133^{88k+44}-3987\cdot 133^{87k+44}+61209\cdot 133^{86k+43}-6556\cdot 133^{85k+43}+84728\cdot 133^{84k+42}\\||-7362\cdot 133^{83k+42}+74585\cdot 133^{82k+41}-4787\cdot 133^{81k+41}+31193\cdot 133^{80k+40}-783\cdot 133^{79k+40}\\||-4470\cdot 133^{78k+39}+368\cdot 133^{77k+39}+11248\cdot 133^{76k+38}-3395\cdot 133^{75k+38}+72621\cdot 133^{74k+37}\\||-8887\cdot 133^{73k+37}+119869\cdot 133^{72k+36}-10308\cdot 133^{71k+36}+98697\cdot 133^{70k+35}-5571\cdot 133^{69k+35}\\||+25163\cdot 133^{68k+34}+587\cdot 133^{67k+34}-21003\cdot 133^{66k+33}+995\cdot 133^{65k+33}+21302\cdot 133^{64k+32}\\||-6071\cdot 133^{63k+32}+122363\cdot 133^{62k+31}-14261\cdot 133^{61k+31}+184873\cdot 133^{60k+30}-15435\cdot 133^{59k+30}\\||+145951\cdot 133^{58k+29}-8500\cdot 133^{57k+29}+48171\cdot 133^{56k+28}-947\cdot 133^{55k+28}-2837\cdot 133^{54k+27}\\||-947\cdot 133^{53k+27}+48171\cdot 133^{52k+26}-8500\cdot 133^{51k+26}+145951\cdot 133^{50k+25}-15435\cdot 133^{49k+25}\\||+184873\cdot 133^{48k+24}-14261\cdot 133^{47k+24}+122363\cdot 133^{46k+23}-6071\cdot 133^{45k+23}+21302\cdot 133^{44k+22}\\||+995\cdot 133^{43k+22}-21003\cdot 133^{42k+21}+587\cdot 133^{41k+21}+25163\cdot 133^{40k+20}-5571\cdot 133^{39k+20}\\||+98697\cdot 133^{38k+19}-10308\cdot 133^{37k+19}+119869\cdot 133^{36k+18}-8887\cdot 133^{35k+18}+72621\cdot 133^{34k+17}\\||-3395\cdot 133^{33k+17}+11248\cdot 133^{32k+16}+368\cdot 133^{31k+16}-4470\cdot 133^{30k+15}-783\cdot 133^{29k+15}\\||+31193\cdot 133^{28k+14}-4787\cdot 133^{27k+14}+74585\cdot 133^{26k+13}-7362\cdot 133^{25k+13}+84728\cdot 133^{24k+12}\\||-6556\cdot 133^{23k+12}+61209\cdot 133^{22k+11}-3987\cdot 133^{21k+11}+33799\cdot 133^{20k+10}-2341\cdot 133^{19k+10}\\||+25976\cdot 133^{18k+9}-2552\cdot 133^{17k+9}+35038\cdot 133^{16k+8}-3493\cdot 133^{15k+8}+43191\cdot 133^{14k+7}\\||-3708\cdot 133^{13k+7}+39046\cdot 133^{12k+6}-2852\cdot 133^{11k+6}+25550\cdot 133^{10k+5}-1584\cdot 133^{9k+5}\\||+11971\cdot 133^{8k+4}-619\cdot 133^{7k+4}+3832\cdot 133^{6k+3}-158\cdot 133^{5k+3}+748\cdot 133^{4k+2}\\||-22\cdot 133^{3k+2}+66\cdot 133^{2k+1}-133^{k+1}+1)\\|\times|(133^{108k+54}+133^{107k+54}+66\cdot 133^{106k+53}+22\cdot 133^{105k+53}+748\cdot 133^{104k+52}\\||+158\cdot 133^{103k+52}+3832\cdot 133^{102k+51}+619\cdot 133^{101k+51}+11971\cdot 133^{100k+50}+1584\cdot 133^{99k+50}\\||+25550\cdot 133^{98k+49}+2852\cdot 133^{97k+49}+39046\cdot 133^{96k+48}+3708\cdot 133^{95k+48}+43191\cdot 133^{94k+47}\\||+3493\cdot 133^{93k+47}+35038\cdot 133^{92k+46}+2552\cdot 133^{91k+46}+25976\cdot 133^{90k+45}+2341\cdot 133^{89k+45}\\||+33799\cdot 133^{88k+44}+3987\cdot 133^{87k+44}+61209\cdot 133^{86k+43}+6556\cdot 133^{85k+43}+84728\cdot 133^{84k+42}\\||+7362\cdot 133^{83k+42}+74585\cdot 133^{82k+41}+4787\cdot 133^{81k+41}+31193\cdot 133^{80k+40}+783\cdot 133^{79k+40}\\||-4470\cdot 133^{78k+39}-368\cdot 133^{77k+39}+11248\cdot 133^{76k+38}+3395\cdot 133^{75k+38}+72621\cdot 133^{74k+37}\\||+8887\cdot 133^{73k+37}+119869\cdot 133^{72k+36}+10308\cdot 133^{71k+36}+98697\cdot 133^{70k+35}+5571\cdot 133^{69k+35}\\||+25163\cdot 133^{68k+34}-587\cdot 133^{67k+34}-21003\cdot 133^{66k+33}-995\cdot 133^{65k+33}+21302\cdot 133^{64k+32}\\||+6071\cdot 133^{63k+32}+122363\cdot 133^{62k+31}+14261\cdot 133^{61k+31}+184873\cdot 133^{60k+30}+15435\cdot 133^{59k+30}\\||+145951\cdot 133^{58k+29}+8500\cdot 133^{57k+29}+48171\cdot 133^{56k+28}+947\cdot 133^{55k+28}-2837\cdot 133^{54k+27}\\||+947\cdot 133^{53k+27}+48171\cdot 133^{52k+26}+8500\cdot 133^{51k+26}+145951\cdot 133^{50k+25}+15435\cdot 133^{49k+25}\\||+184873\cdot 133^{48k+24}+14261\cdot 133^{47k+24}+122363\cdot 133^{46k+23}+6071\cdot 133^{45k+23}+21302\cdot 133^{44k+22}\\||-995\cdot 133^{43k+22}-21003\cdot 133^{42k+21}-587\cdot 133^{41k+21}+25163\cdot 133^{40k+20}+5571\cdot 133^{39k+20}\\||+98697\cdot 133^{38k+19}+10308\cdot 133^{37k+19}+119869\cdot 133^{36k+18}+8887\cdot 133^{35k+18}+72621\cdot 133^{34k+17}\\||+3395\cdot 133^{33k+17}+11248\cdot 133^{32k+16}-368\cdot 133^{31k+16}-4470\cdot 133^{30k+15}+783\cdot 133^{29k+15}\\||+31193\cdot 133^{28k+14}+4787\cdot 133^{27k+14}+74585\cdot 133^{26k+13}+7362\cdot 133^{25k+13}+84728\cdot 133^{24k+12}\\||+6556\cdot 133^{23k+12}+61209\cdot 133^{22k+11}+3987\cdot 133^{21k+11}+33799\cdot 133^{20k+10}+2341\cdot 133^{19k+10}\\||+25976\cdot 133^{18k+9}+2552\cdot 133^{17k+9}+35038\cdot 133^{16k+8}+3493\cdot 133^{15k+8}+43191\cdot 133^{14k+7}\\||+3708\cdot 133^{13k+7}+39046\cdot 133^{12k+6}+2852\cdot 133^{11k+6}+25550\cdot 133^{10k+5}+1584\cdot 133^{9k+5}\\||+11971\cdot 133^{8k+4}+619\cdot 133^{7k+4}+3832\cdot 133^{6k+3}+158\cdot 133^{5k+3}+748\cdot 133^{4k+2}\\||+22\cdot 133^{3k+2}+66\cdot 133^{2k+1}+133^{k+1}+1)\\{\large\Phi}_{268}(134^{2k+1})|=|134^{264k+132}-134^{260k+130}+134^{256k+128}-134^{252k+126}+134^{248k+124}\\||-134^{244k+122}+134^{240k+120}-134^{236k+118}+134^{232k+116}-134^{228k+114}\\||+134^{224k+112}-134^{220k+110}+134^{216k+108}-134^{212k+106}+134^{208k+104}\\||-134^{204k+102}+134^{200k+100}-134^{196k+98}+134^{192k+96}-134^{188k+94}\\||+134^{184k+92}-134^{180k+90}+134^{176k+88}-134^{172k+86}+134^{168k+84}\\||-134^{164k+82}+134^{160k+80}-134^{156k+78}+134^{152k+76}-134^{148k+74}\\||+134^{144k+72}-134^{140k+70}+134^{136k+68}-134^{132k+66}+134^{128k+64}\\||-134^{124k+62}+134^{120k+60}-134^{116k+58}+134^{112k+56}-134^{108k+54}\\||+134^{104k+52}-134^{100k+50}+134^{96k+48}-134^{92k+46}+134^{88k+44}\\||-134^{84k+42}+134^{80k+40}-134^{76k+38}+134^{72k+36}-134^{68k+34}\\||+134^{64k+32}-134^{60k+30}+134^{56k+28}-134^{52k+26}+134^{48k+24}\\||-134^{44k+22}+134^{40k+20}-134^{36k+18}+134^{32k+16}-134^{28k+14}\\||+134^{24k+12}-134^{20k+10}+134^{16k+8}-134^{12k+6}+134^{8k+4}\\||-134^{4k+2}+1\\|=|(134^{132k+66}-134^{131k+66}+67\cdot 134^{130k+65}-22\cdot 134^{129k+65}+703\cdot 134^{128k+64}\\||-127\cdot 134^{127k+64}+2345\cdot 134^{126k+63}-238\cdot 134^{125k+63}+2069\cdot 134^{124k+62}-27\cdot 134^{123k+62}\\||-1273\cdot 134^{122k+61}+60\cdot 134^{121k+61}+3111\cdot 134^{120k+60}-741\cdot 134^{119k+60}+11725\cdot 134^{118k+59}\\||-778\cdot 134^{117k+59}+921\cdot 134^{116k+58}+605\cdot 134^{115k+58}-7705\cdot 134^{114k+57}-130\cdot 134^{113k+57}\\||+15499\cdot 134^{112k+56}-2077\cdot 134^{111k+56}+19497\cdot 134^{110k+55}-318\cdot 134^{109k+55}-12203\cdot 134^{108k+54}\\||+1349\cdot 134^{107k+54}-2881\cdot 134^{106k+53}-1468\cdot 134^{105k+53}+28871\cdot 134^{104k+52}-2043\cdot 134^{103k+52}\\||+5829\cdot 134^{102k+51}+890\cdot 134^{101k+51}-12783\cdot 134^{100k+50}+153\cdot 134^{99k+50}+11591\cdot 134^{98k+49}\\||-1374\cdot 134^{97k+49}+9739\cdot 134^{96k+48}-161\cdot 134^{95k+48}+1541\cdot 134^{94k+47}-734\cdot 134^{93k+47}\\||+12801\cdot 134^{92k+46}-469\cdot 134^{91k+46}-10653\cdot 134^{90k+45}+1790\cdot 134^{89k+45}-11473\cdot 134^{88k+44}\\||-1243\cdot 134^{87k+44}+36917\cdot 134^{86k+43}-2984\cdot 134^{85k+43}+4013\cdot 134^{84k+42}+2907\cdot 134^{83k+42}\\||-48441\cdot 134^{82k+41}+2274\cdot 134^{81k+41}+17419\cdot 134^{80k+40}-4235\cdot 134^{79k+40}+43349\cdot 134^{78k+39}\\||-408\cdot 134^{77k+39}-36459\cdot 134^{76k+38}+4221\cdot 134^{75k+38}-25661\cdot 134^{74k+37}-982\cdot 134^{73k+37}\\||+31887\cdot 134^{72k+36}-1967\cdot 134^{71k+36}-3015\cdot 134^{70k+35}+1802\cdot 134^{69k+35}-17635\cdot 134^{68k+34}\\||+173\cdot 134^{67k+34}+6499\cdot 134^{66k+33}+173\cdot 134^{65k+33}-17635\cdot 134^{64k+32}+1802\cdot 134^{63k+32}\\||-3015\cdot 134^{62k+31}-1967\cdot 134^{61k+31}+31887\cdot 134^{60k+30}-982\cdot 134^{59k+30}-25661\cdot 134^{58k+29}\\||+4221\cdot 134^{57k+29}-36459\cdot 134^{56k+28}-408\cdot 134^{55k+28}+43349\cdot 134^{54k+27}-4235\cdot 134^{53k+27}\\||+17419\cdot 134^{52k+26}+2274\cdot 134^{51k+26}-48441\cdot 134^{50k+25}+2907\cdot 134^{49k+25}+4013\cdot 134^{48k+24}\\||-2984\cdot 134^{47k+24}+36917\cdot 134^{46k+23}-1243\cdot 134^{45k+23}-11473\cdot 134^{44k+22}+1790\cdot 134^{43k+22}\\||-10653\cdot 134^{42k+21}-469\cdot 134^{41k+21}+12801\cdot 134^{40k+20}-734\cdot 134^{39k+20}+1541\cdot 134^{38k+19}\\||-161\cdot 134^{37k+19}+9739\cdot 134^{36k+18}-1374\cdot 134^{35k+18}+11591\cdot 134^{34k+17}+153\cdot 134^{33k+17}\\||-12783\cdot 134^{32k+16}+890\cdot 134^{31k+16}+5829\cdot 134^{30k+15}-2043\cdot 134^{29k+15}+28871\cdot 134^{28k+14}\\||-1468\cdot 134^{27k+14}-2881\cdot 134^{26k+13}+1349\cdot 134^{25k+13}-12203\cdot 134^{24k+12}-318\cdot 134^{23k+12}\\||+19497\cdot 134^{22k+11}-2077\cdot 134^{21k+11}+15499\cdot 134^{20k+10}-130\cdot 134^{19k+10}-7705\cdot 134^{18k+9}\\||+605\cdot 134^{17k+9}+921\cdot 134^{16k+8}-778\cdot 134^{15k+8}+11725\cdot 134^{14k+7}-741\cdot 134^{13k+7}\\||+3111\cdot 134^{12k+6}+60\cdot 134^{11k+6}-1273\cdot 134^{10k+5}-27\cdot 134^{9k+5}+2069\cdot 134^{8k+4}\\||-238\cdot 134^{7k+4}+2345\cdot 134^{6k+3}-127\cdot 134^{5k+3}+703\cdot 134^{4k+2}-22\cdot 134^{3k+2}\\||+67\cdot 134^{2k+1}-134^{k+1}+1)\\|\times|(134^{132k+66}+134^{131k+66}+67\cdot 134^{130k+65}+22\cdot 134^{129k+65}+703\cdot 134^{128k+64}\\||+127\cdot 134^{127k+64}+2345\cdot 134^{126k+63}+238\cdot 134^{125k+63}+2069\cdot 134^{124k+62}+27\cdot 134^{123k+62}\\||-1273\cdot 134^{122k+61}-60\cdot 134^{121k+61}+3111\cdot 134^{120k+60}+741\cdot 134^{119k+60}+11725\cdot 134^{118k+59}\\||+778\cdot 134^{117k+59}+921\cdot 134^{116k+58}-605\cdot 134^{115k+58}-7705\cdot 134^{114k+57}+130\cdot 134^{113k+57}\\||+15499\cdot 134^{112k+56}+2077\cdot 134^{111k+56}+19497\cdot 134^{110k+55}+318\cdot 134^{109k+55}-12203\cdot 134^{108k+54}\\||-1349\cdot 134^{107k+54}-2881\cdot 134^{106k+53}+1468\cdot 134^{105k+53}+28871\cdot 134^{104k+52}+2043\cdot 134^{103k+52}\\||+5829\cdot 134^{102k+51}-890\cdot 134^{101k+51}-12783\cdot 134^{100k+50}-153\cdot 134^{99k+50}+11591\cdot 134^{98k+49}\\||+1374\cdot 134^{97k+49}+9739\cdot 134^{96k+48}+161\cdot 134^{95k+48}+1541\cdot 134^{94k+47}+734\cdot 134^{93k+47}\\||+12801\cdot 134^{92k+46}+469\cdot 134^{91k+46}-10653\cdot 134^{90k+45}-1790\cdot 134^{89k+45}-11473\cdot 134^{88k+44}\\||+1243\cdot 134^{87k+44}+36917\cdot 134^{86k+43}+2984\cdot 134^{85k+43}+4013\cdot 134^{84k+42}-2907\cdot 134^{83k+42}\\||-48441\cdot 134^{82k+41}-2274\cdot 134^{81k+41}+17419\cdot 134^{80k+40}+4235\cdot 134^{79k+40}+43349\cdot 134^{78k+39}\\||+408\cdot 134^{77k+39}-36459\cdot 134^{76k+38}-4221\cdot 134^{75k+38}-25661\cdot 134^{74k+37}+982\cdot 134^{73k+37}\\||+31887\cdot 134^{72k+36}+1967\cdot 134^{71k+36}-3015\cdot 134^{70k+35}-1802\cdot 134^{69k+35}-17635\cdot 134^{68k+34}\\||-173\cdot 134^{67k+34}+6499\cdot 134^{66k+33}-173\cdot 134^{65k+33}-17635\cdot 134^{64k+32}-1802\cdot 134^{63k+32}\\||-3015\cdot 134^{62k+31}+1967\cdot 134^{61k+31}+31887\cdot 134^{60k+30}+982\cdot 134^{59k+30}-25661\cdot 134^{58k+29}\\||-4221\cdot 134^{57k+29}-36459\cdot 134^{56k+28}+408\cdot 134^{55k+28}+43349\cdot 134^{54k+27}+4235\cdot 134^{53k+27}\\||+17419\cdot 134^{52k+26}-2274\cdot 134^{51k+26}-48441\cdot 134^{50k+25}-2907\cdot 134^{49k+25}+4013\cdot 134^{48k+24}\\||+2984\cdot 134^{47k+24}+36917\cdot 134^{46k+23}+1243\cdot 134^{45k+23}-11473\cdot 134^{44k+22}-1790\cdot 134^{43k+22}\\||-10653\cdot 134^{42k+21}+469\cdot 134^{41k+21}+12801\cdot 134^{40k+20}+734\cdot 134^{39k+20}+1541\cdot 134^{38k+19}\\||+161\cdot 134^{37k+19}+9739\cdot 134^{36k+18}+1374\cdot 134^{35k+18}+11591\cdot 134^{34k+17}-153\cdot 134^{33k+17}\\||-12783\cdot 134^{32k+16}-890\cdot 134^{31k+16}+5829\cdot 134^{30k+15}+2043\cdot 134^{29k+15}+28871\cdot 134^{28k+14}\\||+1468\cdot 134^{27k+14}-2881\cdot 134^{26k+13}-1349\cdot 134^{25k+13}-12203\cdot 134^{24k+12}+318\cdot 134^{23k+12}\\||+19497\cdot 134^{22k+11}+2077\cdot 134^{21k+11}+15499\cdot 134^{20k+10}+130\cdot 134^{19k+10}-7705\cdot 134^{18k+9}\\||-605\cdot 134^{17k+9}+921\cdot 134^{16k+8}+778\cdot 134^{15k+8}+11725\cdot 134^{14k+7}+741\cdot 134^{13k+7}\\||+3111\cdot 134^{12k+6}-60\cdot 134^{11k+6}-1273\cdot 134^{10k+5}+27\cdot 134^{9k+5}+2069\cdot 134^{8k+4}\\||+238\cdot 134^{7k+4}+2345\cdot 134^{6k+3}+127\cdot 134^{5k+3}+703\cdot 134^{4k+2}+22\cdot 134^{3k+2}\\||+67\cdot 134^{2k+1}+134^{k+1}+1)\end{eqnarray}%%
Φ137(1372k+1)⋯Φ278(1392k+1)Φ137(1372k+1)⋯Φ278(1392k+1)
%%\begin{eqnarray}{\large\Phi}_{137}(137^{2k+1})|=|137^{272k+136}+137^{270k+135}+137^{268k+134}+137^{266k+133}+137^{264k+132}\\||+137^{262k+131}+137^{260k+130}+137^{258k+129}+137^{256k+128}+137^{254k+127}\\||+137^{252k+126}+137^{250k+125}+137^{248k+124}+137^{246k+123}+137^{244k+122}\\||+137^{242k+121}+137^{240k+120}+137^{238k+119}+137^{236k+118}+137^{234k+117}\\||+137^{232k+116}+137^{230k+115}+137^{228k+114}+137^{226k+113}+137^{224k+112}\\||+137^{222k+111}+137^{220k+110}+137^{218k+109}+137^{216k+108}+137^{214k+107}\\||+137^{212k+106}+137^{210k+105}+137^{208k+104}+137^{206k+103}+137^{204k+102}\\||+137^{202k+101}+137^{200k+100}+137^{198k+99}+137^{196k+98}+137^{194k+97}\\||+137^{192k+96}+137^{190k+95}+137^{188k+94}+137^{186k+93}+137^{184k+92}\\||+137^{182k+91}+137^{180k+90}+137^{178k+89}+137^{176k+88}+137^{174k+87}\\||+137^{172k+86}+137^{170k+85}+137^{168k+84}+137^{166k+83}+137^{164k+82}\\||+137^{162k+81}+137^{160k+80}+137^{158k+79}+137^{156k+78}+137^{154k+77}\\||+137^{152k+76}+137^{150k+75}+137^{148k+74}+137^{146k+73}+137^{144k+72}\\||+137^{142k+71}+137^{140k+70}+137^{138k+69}+137^{136k+68}+137^{134k+67}\\||+137^{132k+66}+137^{130k+65}+137^{128k+64}+137^{126k+63}+137^{124k+62}\\||+137^{122k+61}+137^{120k+60}+137^{118k+59}+137^{116k+58}+137^{114k+57}\\||+137^{112k+56}+137^{110k+55}+137^{108k+54}+137^{106k+53}+137^{104k+52}\\||+137^{102k+51}+137^{100k+50}+137^{98k+49}+137^{96k+48}+137^{94k+47}\\||+137^{92k+46}+137^{90k+45}+137^{88k+44}+137^{86k+43}+137^{84k+42}\\||+137^{82k+41}+137^{80k+40}+137^{78k+39}+137^{76k+38}+137^{74k+37}\\||+137^{72k+36}+137^{70k+35}+137^{68k+34}+137^{66k+33}+137^{64k+32}\\||+137^{62k+31}+137^{60k+30}+137^{58k+29}+137^{56k+28}+137^{54k+27}\\||+137^{52k+26}+137^{50k+25}+137^{48k+24}+137^{46k+23}+137^{44k+22}\\||+137^{42k+21}+137^{40k+20}+137^{38k+19}+137^{36k+18}+137^{34k+17}\\||+137^{32k+16}+137^{30k+15}+137^{28k+14}+137^{26k+13}+137^{24k+12}\\||+137^{22k+11}+137^{20k+10}+137^{18k+9}+137^{16k+8}+137^{14k+7}\\||+137^{12k+6}+137^{10k+5}+137^{8k+4}+137^{6k+3}+137^{4k+2}\\||+137^{2k+1}+1\\|=|(137^{136k+68}-137^{135k+68}+69\cdot 137^{134k+67}-23\cdot 137^{133k+67}+771\cdot 137^{132k+66}\\||-145\cdot 137^{131k+66}+2903\cdot 137^{130k+65}-319\cdot 137^{129k+65}+3071\cdot 137^{128k+64}+5\cdot 137^{127k+64}\\||-5415\cdot 137^{126k+63}+915\cdot 137^{125k+63}-11985\cdot 137^{124k+62}+487\cdot 137^{123k+62}+8237\cdot 137^{122k+61}\\||-2093\cdot 137^{121k+61}+33521\cdot 137^{120k+60}-2253\cdot 137^{119k+60}+1161\cdot 137^{118k+59}+2819\cdot 137^{117k+59}\\||-58129\cdot 137^{116k+58}+4795\cdot 137^{115k+58}-20147\cdot 137^{114k+57}-3239\cdot 137^{113k+57}+89773\cdot 137^{112k+56}\\||-8869\cdot 137^{111k+56}+63183\cdot 137^{110k+55}+1783\cdot 137^{109k+55}-109663\cdot 137^{108k+54}+13157\cdot 137^{107k+54}\\||-120525\cdot 137^{106k+53}+1179\cdot 137^{105k+53}+119545\cdot 137^{104k+52}-17943\cdot 137^{103k+52}+200699\cdot 137^{102k+51}\\||-6941\cdot 137^{101k+51}-99171\cdot 137^{100k+50}+21399\cdot 137^{99k+50}-286007\cdot 137^{98k+49}+14623\cdot 137^{97k+49}\\||+50659\cdot 137^{96k+48}-23249\cdot 137^{95k+48}+373435\cdot 137^{94k+47}-24493\cdot 137^{93k+47}+38673\cdot 137^{92k+46}\\||+21693\cdot 137^{91k+46}-439163\cdot 137^{90k+45}+34945\cdot 137^{89k+45}-161411\cdot 137^{88k+44}-16229\cdot 137^{87k+44}\\||+467625\cdot 137^{86k+43}-44475\cdot 137^{85k+43}+306333\cdot 137^{84k+42}+6797\cdot 137^{83k+42}-445967\cdot 137^{82k+41}\\||+51401\cdot 137^{81k+41}-455713\cdot 137^{80k+40}+5999\cdot 137^{79k+40}+365695\cdot 137^{78k+39}-53767\cdot 137^{77k+39}\\||+579291\cdot 137^{76k+38}-19807\cdot 137^{75k+38}-242827\cdot 137^{74k+37}+51663\cdot 137^{73k+37}-666719\cdot 137^{72k+36}\\||+33539\cdot 137^{71k+36}+82147\cdot 137^{70k+35}-44225\cdot 137^{69k+35}+692513\cdot 137^{68k+34}-44225\cdot 137^{67k+34}\\||+82147\cdot 137^{66k+33}+33539\cdot 137^{65k+33}-666719\cdot 137^{64k+32}+51663\cdot 137^{63k+32}-242827\cdot 137^{62k+31}\\||-19807\cdot 137^{61k+31}+579291\cdot 137^{60k+30}-53767\cdot 137^{59k+30}+365695\cdot 137^{58k+29}+5999\cdot 137^{57k+29}\\||-455713\cdot 137^{56k+28}+51401\cdot 137^{55k+28}-445967\cdot 137^{54k+27}+6797\cdot 137^{53k+27}+306333\cdot 137^{52k+26}\\||-44475\cdot 137^{51k+26}+467625\cdot 137^{50k+25}-16229\cdot 137^{49k+25}-161411\cdot 137^{48k+24}+34945\cdot 137^{47k+24}\\||-439163\cdot 137^{46k+23}+21693\cdot 137^{45k+23}+38673\cdot 137^{44k+22}-24493\cdot 137^{43k+22}+373435\cdot 137^{42k+21}\\||-23249\cdot 137^{41k+21}+50659\cdot 137^{40k+20}+14623\cdot 137^{39k+20}-286007\cdot 137^{38k+19}+21399\cdot 137^{37k+19}\\||-99171\cdot 137^{36k+18}-6941\cdot 137^{35k+18}+200699\cdot 137^{34k+17}-17943\cdot 137^{33k+17}+119545\cdot 137^{32k+16}\\||+1179\cdot 137^{31k+16}-120525\cdot 137^{30k+15}+13157\cdot 137^{29k+15}-109663\cdot 137^{28k+14}+1783\cdot 137^{27k+14}\\||+63183\cdot 137^{26k+13}-8869\cdot 137^{25k+13}+89773\cdot 137^{24k+12}-3239\cdot 137^{23k+12}-20147\cdot 137^{22k+11}\\||+4795\cdot 137^{21k+11}-58129\cdot 137^{20k+10}+2819\cdot 137^{19k+10}+1161\cdot 137^{18k+9}-2253\cdot 137^{17k+9}\\||+33521\cdot 137^{16k+8}-2093\cdot 137^{15k+8}+8237\cdot 137^{14k+7}+487\cdot 137^{13k+7}-11985\cdot 137^{12k+6}\\||+915\cdot 137^{11k+6}-5415\cdot 137^{10k+5}+5\cdot 137^{9k+5}+3071\cdot 137^{8k+4}-319\cdot 137^{7k+4}\\||+2903\cdot 137^{6k+3}-145\cdot 137^{5k+3}+771\cdot 137^{4k+2}-23\cdot 137^{3k+2}+69\cdot 137^{2k+1}\\||-137^{k+1}+1)\\|\times|(137^{136k+68}+137^{135k+68}+69\cdot 137^{134k+67}+23\cdot 137^{133k+67}+771\cdot 137^{132k+66}\\||+145\cdot 137^{131k+66}+2903\cdot 137^{130k+65}+319\cdot 137^{129k+65}+3071\cdot 137^{128k+64}-5\cdot 137^{127k+64}\\||-5415\cdot 137^{126k+63}-915\cdot 137^{125k+63}-11985\cdot 137^{124k+62}-487\cdot 137^{123k+62}+8237\cdot 137^{122k+61}\\||+2093\cdot 137^{121k+61}+33521\cdot 137^{120k+60}+2253\cdot 137^{119k+60}+1161\cdot 137^{118k+59}-2819\cdot 137^{117k+59}\\||-58129\cdot 137^{116k+58}-4795\cdot 137^{115k+58}-20147\cdot 137^{114k+57}+3239\cdot 137^{113k+57}+89773\cdot 137^{112k+56}\\||+8869\cdot 137^{111k+56}+63183\cdot 137^{110k+55}-1783\cdot 137^{109k+55}-109663\cdot 137^{108k+54}-13157\cdot 137^{107k+54}\\||-120525\cdot 137^{106k+53}-1179\cdot 137^{105k+53}+119545\cdot 137^{104k+52}+17943\cdot 137^{103k+52}+200699\cdot 137^{102k+51}\\||+6941\cdot 137^{101k+51}-99171\cdot 137^{100k+50}-21399\cdot 137^{99k+50}-286007\cdot 137^{98k+49}-14623\cdot 137^{97k+49}\\||+50659\cdot 137^{96k+48}+23249\cdot 137^{95k+48}+373435\cdot 137^{94k+47}+24493\cdot 137^{93k+47}+38673\cdot 137^{92k+46}\\||-21693\cdot 137^{91k+46}-439163\cdot 137^{90k+45}-34945\cdot 137^{89k+45}-161411\cdot 137^{88k+44}+16229\cdot 137^{87k+44}\\||+467625\cdot 137^{86k+43}+44475\cdot 137^{85k+43}+306333\cdot 137^{84k+42}-6797\cdot 137^{83k+42}-445967\cdot 137^{82k+41}\\||-51401\cdot 137^{81k+41}-455713\cdot 137^{80k+40}-5999\cdot 137^{79k+40}+365695\cdot 137^{78k+39}+53767\cdot 137^{77k+39}\\||+579291\cdot 137^{76k+38}+19807\cdot 137^{75k+38}-242827\cdot 137^{74k+37}-51663\cdot 137^{73k+37}-666719\cdot 137^{72k+36}\\||-33539\cdot 137^{71k+36}+82147\cdot 137^{70k+35}+44225\cdot 137^{69k+35}+692513\cdot 137^{68k+34}+44225\cdot 137^{67k+34}\\||+82147\cdot 137^{66k+33}-33539\cdot 137^{65k+33}-666719\cdot 137^{64k+32}-51663\cdot 137^{63k+32}-242827\cdot 137^{62k+31}\\||+19807\cdot 137^{61k+31}+579291\cdot 137^{60k+30}+53767\cdot 137^{59k+30}+365695\cdot 137^{58k+29}-5999\cdot 137^{57k+29}\\||-455713\cdot 137^{56k+28}-51401\cdot 137^{55k+28}-445967\cdot 137^{54k+27}-6797\cdot 137^{53k+27}+306333\cdot 137^{52k+26}\\||+44475\cdot 137^{51k+26}+467625\cdot 137^{50k+25}+16229\cdot 137^{49k+25}-161411\cdot 137^{48k+24}-34945\cdot 137^{47k+24}\\||-439163\cdot 137^{46k+23}-21693\cdot 137^{45k+23}+38673\cdot 137^{44k+22}+24493\cdot 137^{43k+22}+373435\cdot 137^{42k+21}\\||+23249\cdot 137^{41k+21}+50659\cdot 137^{40k+20}-14623\cdot 137^{39k+20}-286007\cdot 137^{38k+19}-21399\cdot 137^{37k+19}\\||-99171\cdot 137^{36k+18}+6941\cdot 137^{35k+18}+200699\cdot 137^{34k+17}+17943\cdot 137^{33k+17}+119545\cdot 137^{32k+16}\\||-1179\cdot 137^{31k+16}-120525\cdot 137^{30k+15}-13157\cdot 137^{29k+15}-109663\cdot 137^{28k+14}-1783\cdot 137^{27k+14}\\||+63183\cdot 137^{26k+13}+8869\cdot 137^{25k+13}+89773\cdot 137^{24k+12}+3239\cdot 137^{23k+12}-20147\cdot 137^{22k+11}\\||-4795\cdot 137^{21k+11}-58129\cdot 137^{20k+10}-2819\cdot 137^{19k+10}+1161\cdot 137^{18k+9}+2253\cdot 137^{17k+9}\\||+33521\cdot 137^{16k+8}+2093\cdot 137^{15k+8}+8237\cdot 137^{14k+7}-487\cdot 137^{13k+7}-11985\cdot 137^{12k+6}\\||-915\cdot 137^{11k+6}-5415\cdot 137^{10k+5}-5\cdot 137^{9k+5}+3071\cdot 137^{8k+4}+319\cdot 137^{7k+4}\\||+2903\cdot 137^{6k+3}+145\cdot 137^{5k+3}+771\cdot 137^{4k+2}+23\cdot 137^{3k+2}+69\cdot 137^{2k+1}\\||+137^{k+1}+1)\\{\large\Phi}_{276}(138^{2k+1})|=|138^{176k+88}+138^{172k+86}-138^{164k+82}-138^{160k+80}+138^{152k+76}\\||+138^{148k+74}-138^{140k+70}-138^{136k+68}+138^{128k+64}+138^{124k+62}\\||-138^{116k+58}-138^{112k+56}+138^{104k+52}+138^{100k+50}-138^{92k+46}\\||-138^{88k+44}-138^{84k+42}+138^{76k+38}+138^{72k+36}-138^{64k+32}\\||-138^{60k+30}+138^{52k+26}+138^{48k+24}-138^{40k+20}-138^{36k+18}\\||+138^{28k+14}+138^{24k+12}-138^{16k+8}-138^{12k+6}+138^{4k+2}+1\\|=|(138^{88k+44}-138^{87k+44}+69\cdot 138^{86k+43}-23\cdot 138^{85k+43}+794\cdot 138^{84k+42}\\||-159\cdot 138^{83k+42}+3657\cdot 138^{82k+41}-519\cdot 138^{81k+41}+8737\cdot 138^{80k+40}-910\cdot 138^{79k+40}\\||+10764\cdot 138^{78k+39}-664\cdot 138^{77k+39}+1151\cdot 138^{76k+38}+755\cdot 138^{75k+38}-20769\cdot 138^{74k+37}\\||+2729\cdot 138^{73k+37}-39830\cdot 138^{72k+36}+3539\cdot 138^{71k+36}-35949\cdot 138^{70k+35}+1977\cdot 138^{69k+35}\\||-5221\cdot 138^{68k+34}-1296\cdot 138^{67k+34}+35052\cdot 138^{66k+33}-4401\cdot 138^{65k+33}+63475\cdot 138^{64k+32}\\||-5914\cdot 138^{63k+32}+69207\cdot 138^{62k+31}-5297\cdot 138^{61k+31}+48044\cdot 138^{60k+30}-2254\cdot 138^{59k+30}\\||-1725\cdot 138^{58k+29}+2920\cdot 138^{57k+29}-67295\cdot 138^{56k+28}+8132\cdot 138^{55k+28}-113712\cdot 138^{54k+27}\\||+10029\cdot 138^{53k+27}-106243\cdot 138^{52k+26}+6840\cdot 138^{51k+26}-44091\cdot 138^{50k+25}+251\cdot 138^{49k+25}\\||+37408\cdot 138^{48k+24}-6154\cdot 138^{47k+24}+98601\cdot 138^{46k+23}-9768\cdot 138^{45k+23}+120167\cdot 138^{44k+22}\\||-9768\cdot 138^{43k+22}+98601\cdot 138^{42k+21}-6154\cdot 138^{41k+21}+37408\cdot 138^{40k+20}+251\cdot 138^{39k+20}\\||-44091\cdot 138^{38k+19}+6840\cdot 138^{37k+19}-106243\cdot 138^{36k+18}+10029\cdot 138^{35k+18}-113712\cdot 138^{34k+17}\\||+8132\cdot 138^{33k+17}-67295\cdot 138^{32k+16}+2920\cdot 138^{31k+16}-1725\cdot 138^{30k+15}-2254\cdot 138^{29k+15}\\||+48044\cdot 138^{28k+14}-5297\cdot 138^{27k+14}+69207\cdot 138^{26k+13}-5914\cdot 138^{25k+13}+63475\cdot 138^{24k+12}\\||-4401\cdot 138^{23k+12}+35052\cdot 138^{22k+11}-1296\cdot 138^{21k+11}-5221\cdot 138^{20k+10}+1977\cdot 138^{19k+10}\\||-35949\cdot 138^{18k+9}+3539\cdot 138^{17k+9}-39830\cdot 138^{16k+8}+2729\cdot 138^{15k+8}-20769\cdot 138^{14k+7}\\||+755\cdot 138^{13k+7}+1151\cdot 138^{12k+6}-664\cdot 138^{11k+6}+10764\cdot 138^{10k+5}-910\cdot 138^{9k+5}\\||+8737\cdot 138^{8k+4}-519\cdot 138^{7k+4}+3657\cdot 138^{6k+3}-159\cdot 138^{5k+3}+794\cdot 138^{4k+2}\\||-23\cdot 138^{3k+2}+69\cdot 138^{2k+1}-138^{k+1}+1)\\|\times|(138^{88k+44}+138^{87k+44}+69\cdot 138^{86k+43}+23\cdot 138^{85k+43}+794\cdot 138^{84k+42}\\||+159\cdot 138^{83k+42}+3657\cdot 138^{82k+41}+519\cdot 138^{81k+41}+8737\cdot 138^{80k+40}+910\cdot 138^{79k+40}\\||+10764\cdot 138^{78k+39}+664\cdot 138^{77k+39}+1151\cdot 138^{76k+38}-755\cdot 138^{75k+38}-20769\cdot 138^{74k+37}\\||-2729\cdot 138^{73k+37}-39830\cdot 138^{72k+36}-3539\cdot 138^{71k+36}-35949\cdot 138^{70k+35}-1977\cdot 138^{69k+35}\\||-5221\cdot 138^{68k+34}+1296\cdot 138^{67k+34}+35052\cdot 138^{66k+33}+4401\cdot 138^{65k+33}+63475\cdot 138^{64k+32}\\||+5914\cdot 138^{63k+32}+69207\cdot 138^{62k+31}+5297\cdot 138^{61k+31}+48044\cdot 138^{60k+30}+2254\cdot 138^{59k+30}\\||-1725\cdot 138^{58k+29}-2920\cdot 138^{57k+29}-67295\cdot 138^{56k+28}-8132\cdot 138^{55k+28}-113712\cdot 138^{54k+27}\\||-10029\cdot 138^{53k+27}-106243\cdot 138^{52k+26}-6840\cdot 138^{51k+26}-44091\cdot 138^{50k+25}-251\cdot 138^{49k+25}\\||+37408\cdot 138^{48k+24}+6154\cdot 138^{47k+24}+98601\cdot 138^{46k+23}+9768\cdot 138^{45k+23}+120167\cdot 138^{44k+22}\\||+9768\cdot 138^{43k+22}+98601\cdot 138^{42k+21}+6154\cdot 138^{41k+21}+37408\cdot 138^{40k+20}-251\cdot 138^{39k+20}\\||-44091\cdot 138^{38k+19}-6840\cdot 138^{37k+19}-106243\cdot 138^{36k+18}-10029\cdot 138^{35k+18}-113712\cdot 138^{34k+17}\\||-8132\cdot 138^{33k+17}-67295\cdot 138^{32k+16}-2920\cdot 138^{31k+16}-1725\cdot 138^{30k+15}+2254\cdot 138^{29k+15}\\||+48044\cdot 138^{28k+14}+5297\cdot 138^{27k+14}+69207\cdot 138^{26k+13}+5914\cdot 138^{25k+13}+63475\cdot 138^{24k+12}\\||+4401\cdot 138^{23k+12}+35052\cdot 138^{22k+11}+1296\cdot 138^{21k+11}-5221\cdot 138^{20k+10}-1977\cdot 138^{19k+10}\\||-35949\cdot 138^{18k+9}-3539\cdot 138^{17k+9}-39830\cdot 138^{16k+8}-2729\cdot 138^{15k+8}-20769\cdot 138^{14k+7}\\||-755\cdot 138^{13k+7}+1151\cdot 138^{12k+6}+664\cdot 138^{11k+6}+10764\cdot 138^{10k+5}+910\cdot 138^{9k+5}\\||+8737\cdot 138^{8k+4}+519\cdot 138^{7k+4}+3657\cdot 138^{6k+3}+159\cdot 138^{5k+3}+794\cdot 138^{4k+2}\\||+23\cdot 138^{3k+2}+69\cdot 138^{2k+1}+138^{k+1}+1)\\{\large\Phi}_{278}(139^{2k+1})|=|139^{276k+138}-139^{274k+137}+139^{272k+136}-139^{270k+135}+139^{268k+134}\\||-139^{266k+133}+139^{264k+132}-139^{262k+131}+139^{260k+130}-139^{258k+129}\\||+139^{256k+128}-139^{254k+127}+139^{252k+126}-139^{250k+125}+139^{248k+124}\\||-139^{246k+123}+139^{244k+122}-139^{242k+121}+139^{240k+120}-139^{238k+119}\\||+139^{236k+118}-139^{234k+117}+139^{232k+116}-139^{230k+115}+139^{228k+114}\\||-139^{226k+113}+139^{224k+112}-139^{222k+111}+139^{220k+110}-139^{218k+109}\\||+139^{216k+108}-139^{214k+107}+139^{212k+106}-139^{210k+105}+139^{208k+104}\\||-139^{206k+103}+139^{204k+102}-139^{202k+101}+139^{200k+100}-139^{198k+99}\\||+139^{196k+98}-139^{194k+97}+139^{192k+96}-139^{190k+95}+139^{188k+94}\\||-139^{186k+93}+139^{184k+92}-139^{182k+91}+139^{180k+90}-139^{178k+89}\\||+139^{176k+88}-139^{174k+87}+139^{172k+86}-139^{170k+85}+139^{168k+84}\\||-139^{166k+83}+139^{164k+82}-139^{162k+81}+139^{160k+80}-139^{158k+79}\\||+139^{156k+78}-139^{154k+77}+139^{152k+76}-139^{150k+75}+139^{148k+74}\\||-139^{146k+73}+139^{144k+72}-139^{142k+71}+139^{140k+70}-139^{138k+69}\\||+139^{136k+68}-139^{134k+67}+139^{132k+66}-139^{130k+65}+139^{128k+64}\\||-139^{126k+63}+139^{124k+62}-139^{122k+61}+139^{120k+60}-139^{118k+59}\\||+139^{116k+58}-139^{114k+57}+139^{112k+56}-139^{110k+55}+139^{108k+54}\\||-139^{106k+53}+139^{104k+52}-139^{102k+51}+139^{100k+50}-139^{98k+49}\\||+139^{96k+48}-139^{94k+47}+139^{92k+46}-139^{90k+45}+139^{88k+44}\\||-139^{86k+43}+139^{84k+42}-139^{82k+41}+139^{80k+40}-139^{78k+39}\\||+139^{76k+38}-139^{74k+37}+139^{72k+36}-139^{70k+35}+139^{68k+34}\\||-139^{66k+33}+139^{64k+32}-139^{62k+31}+139^{60k+30}-139^{58k+29}\\||+139^{56k+28}-139^{54k+27}+139^{52k+26}-139^{50k+25}+139^{48k+24}\\||-139^{46k+23}+139^{44k+22}-139^{42k+21}+139^{40k+20}-139^{38k+19}\\||+139^{36k+18}-139^{34k+17}+139^{32k+16}-139^{30k+15}+139^{28k+14}\\||-139^{26k+13}+139^{24k+12}-139^{22k+11}+139^{20k+10}-139^{18k+9}\\||+139^{16k+8}-139^{14k+7}+139^{12k+6}-139^{10k+5}+139^{8k+4}\\||-139^{6k+3}+139^{4k+2}-139^{2k+1}+1\\|=|(139^{138k+69}-139^{137k+69}+69\cdot 139^{136k+68}-23\cdot 139^{135k+68}+817\cdot 139^{134k+67}\\||-173\cdot 139^{133k+67}+4439\cdot 139^{132k+66}-739\cdot 139^{131k+66}+15767\cdot 139^{130k+65}-2263\cdot 139^{129k+65}\\||+42619\cdot 139^{128k+64}-5491\cdot 139^{127k+64}+94083\cdot 139^{126k+63}-11151\cdot 139^{125k+63}+177323\cdot 139^{124k+62}\\||-19641\cdot 139^{123k+62}+293563\cdot 139^{122k+61}-30721\cdot 139^{121k+61}+435901\cdot 139^{120k+60}-43491\cdot 139^{119k+60}\\||+590593\cdot 139^{118k+59}-56599\cdot 139^{117k+59}+740963\cdot 139^{116k+58}-68709\cdot 139^{115k+58}+873439\cdot 139^{114k+57}\\||-78911\cdot 139^{113k+57}+980579\cdot 139^{112k+56}-86889\cdot 139^{111k+56}+1062391\cdot 139^{110k+55}-92895\cdot 139^{109k+55}\\||+1123681\cdot 139^{108k+54}-97437\cdot 139^{107k+54}+1171561\cdot 139^{106k+53}-101199\cdot 139^{105k+53}+1214421\cdot 139^{104k+52}\\||-104881\cdot 139^{103k+52}+1260651\cdot 139^{102k+51}-109243\cdot 139^{101k+51}+1319293\cdot 139^{100k+50}-114939\cdot 139^{99k+50}\\||+1395531\cdot 139^{98k+49}-122163\cdot 139^{97k+49}+1488437\cdot 139^{96k+48}-130479\cdot 139^{95k+48}+1587801\cdot 139^{94k+47}\\||-138653\cdot 139^{93k+47}+1677019\cdot 139^{92k+46}-145295\cdot 139^{91k+46}+1741315\cdot 139^{90k+45}-149411\cdot 139^{89k+45}\\||+1774391\cdot 139^{88k+44}-151111\cdot 139^{87k+44}+1785229\cdot 139^{86k+43}-151639\cdot 139^{85k+43}+1791973\cdot 139^{84k+42}\\||-152709\cdot 139^{83k+42}+1815109\cdot 139^{82k+41}-155809\cdot 139^{81k+41}+1865897\cdot 139^{80k+40}-161259\cdot 139^{79k+40}\\||+1941639\cdot 139^{78k+39}-168381\cdot 139^{77k+39}+2029357\cdot 139^{76k+38}-175725\cdot 139^{75k+38}+2110551\cdot 139^{74k+37}\\||-181875\cdot 139^{73k+37}+2171649\cdot 139^{72k+36}-185889\cdot 139^{71k+36}+2203573\cdot 139^{70k+35}-187241\cdot 139^{69k+35}\\||+2203573\cdot 139^{68k+34}-185889\cdot 139^{67k+34}+2171649\cdot 139^{66k+33}-181875\cdot 139^{65k+33}+2110551\cdot 139^{64k+32}\\||-175725\cdot 139^{63k+32}+2029357\cdot 139^{62k+31}-168381\cdot 139^{61k+31}+1941639\cdot 139^{60k+30}-161259\cdot 139^{59k+30}\\||+1865897\cdot 139^{58k+29}-155809\cdot 139^{57k+29}+1815109\cdot 139^{56k+28}-152709\cdot 139^{55k+28}+1791973\cdot 139^{54k+27}\\||-151639\cdot 139^{53k+27}+1785229\cdot 139^{52k+26}-151111\cdot 139^{51k+26}+1774391\cdot 139^{50k+25}-149411\cdot 139^{49k+25}\\||+1741315\cdot 139^{48k+24}-145295\cdot 139^{47k+24}+1677019\cdot 139^{46k+23}-138653\cdot 139^{45k+23}+1587801\cdot 139^{44k+22}\\||-130479\cdot 139^{43k+22}+1488437\cdot 139^{42k+21}-122163\cdot 139^{41k+21}+1395531\cdot 139^{40k+20}-114939\cdot 139^{39k+20}\\||+1319293\cdot 139^{38k+19}-109243\cdot 139^{37k+19}+1260651\cdot 139^{36k+18}-104881\cdot 139^{35k+18}+1214421\cdot 139^{34k+17}\\||-101199\cdot 139^{33k+17}+1171561\cdot 139^{32k+16}-97437\cdot 139^{31k+16}+1123681\cdot 139^{30k+15}-92895\cdot 139^{29k+15}\\||+1062391\cdot 139^{28k+14}-86889\cdot 139^{27k+14}+980579\cdot 139^{26k+13}-78911\cdot 139^{25k+13}+873439\cdot 139^{24k+12}\\||-68709\cdot 139^{23k+12}+740963\cdot 139^{22k+11}-56599\cdot 139^{21k+11}+590593\cdot 139^{20k+10}-43491\cdot 139^{19k+10}\\||+435901\cdot 139^{18k+9}-30721\cdot 139^{17k+9}+293563\cdot 139^{16k+8}-19641\cdot 139^{15k+8}+177323\cdot 139^{14k+7}\\||-11151\cdot 139^{13k+7}+94083\cdot 139^{12k+6}-5491\cdot 139^{11k+6}+42619\cdot 139^{10k+5}-2263\cdot 139^{9k+5}\\||+15767\cdot 139^{8k+4}-739\cdot 139^{7k+4}+4439\cdot 139^{6k+3}-173\cdot 139^{5k+3}+817\cdot 139^{4k+2}\\||-23\cdot 139^{3k+2}+69\cdot 139^{2k+1}-139^{k+1}+1)\\|\times|(139^{138k+69}+139^{137k+69}+69\cdot 139^{136k+68}+23\cdot 139^{135k+68}+817\cdot 139^{134k+67}\\||+173\cdot 139^{133k+67}+4439\cdot 139^{132k+66}+739\cdot 139^{131k+66}+15767\cdot 139^{130k+65}+2263\cdot 139^{129k+65}\\||+42619\cdot 139^{128k+64}+5491\cdot 139^{127k+64}+94083\cdot 139^{126k+63}+11151\cdot 139^{125k+63}+177323\cdot 139^{124k+62}\\||+19641\cdot 139^{123k+62}+293563\cdot 139^{122k+61}+30721\cdot 139^{121k+61}+435901\cdot 139^{120k+60}+43491\cdot 139^{119k+60}\\||+590593\cdot 139^{118k+59}+56599\cdot 139^{117k+59}+740963\cdot 139^{116k+58}+68709\cdot 139^{115k+58}+873439\cdot 139^{114k+57}\\||+78911\cdot 139^{113k+57}+980579\cdot 139^{112k+56}+86889\cdot 139^{111k+56}+1062391\cdot 139^{110k+55}+92895\cdot 139^{109k+55}\\||+1123681\cdot 139^{108k+54}+97437\cdot 139^{107k+54}+1171561\cdot 139^{106k+53}+101199\cdot 139^{105k+53}+1214421\cdot 139^{104k+52}\\||+104881\cdot 139^{103k+52}+1260651\cdot 139^{102k+51}+109243\cdot 139^{101k+51}+1319293\cdot 139^{100k+50}+114939\cdot 139^{99k+50}\\||+1395531\cdot 139^{98k+49}+122163\cdot 139^{97k+49}+1488437\cdot 139^{96k+48}+130479\cdot 139^{95k+48}+1587801\cdot 139^{94k+47}\\||+138653\cdot 139^{93k+47}+1677019\cdot 139^{92k+46}+145295\cdot 139^{91k+46}+1741315\cdot 139^{90k+45}+149411\cdot 139^{89k+45}\\||+1774391\cdot 139^{88k+44}+151111\cdot 139^{87k+44}+1785229\cdot 139^{86k+43}+151639\cdot 139^{85k+43}+1791973\cdot 139^{84k+42}\\||+152709\cdot 139^{83k+42}+1815109\cdot 139^{82k+41}+155809\cdot 139^{81k+41}+1865897\cdot 139^{80k+40}+161259\cdot 139^{79k+40}\\||+1941639\cdot 139^{78k+39}+168381\cdot 139^{77k+39}+2029357\cdot 139^{76k+38}+175725\cdot 139^{75k+38}+2110551\cdot 139^{74k+37}\\||+181875\cdot 139^{73k+37}+2171649\cdot 139^{72k+36}+185889\cdot 139^{71k+36}+2203573\cdot 139^{70k+35}+187241\cdot 139^{69k+35}\\||+2203573\cdot 139^{68k+34}+185889\cdot 139^{67k+34}+2171649\cdot 139^{66k+33}+181875\cdot 139^{65k+33}+2110551\cdot 139^{64k+32}\\||+175725\cdot 139^{63k+32}+2029357\cdot 139^{62k+31}+168381\cdot 139^{61k+31}+1941639\cdot 139^{60k+30}+161259\cdot 139^{59k+30}\\||+1865897\cdot 139^{58k+29}+155809\cdot 139^{57k+29}+1815109\cdot 139^{56k+28}+152709\cdot 139^{55k+28}+1791973\cdot 139^{54k+27}\\||+151639\cdot 139^{53k+27}+1785229\cdot 139^{52k+26}+151111\cdot 139^{51k+26}+1774391\cdot 139^{50k+25}+149411\cdot 139^{49k+25}\\||+1741315\cdot 139^{48k+24}+145295\cdot 139^{47k+24}+1677019\cdot 139^{46k+23}+138653\cdot 139^{45k+23}+1587801\cdot 139^{44k+22}\\||+130479\cdot 139^{43k+22}+1488437\cdot 139^{42k+21}+122163\cdot 139^{41k+21}+1395531\cdot 139^{40k+20}+114939\cdot 139^{39k+20}\\||+1319293\cdot 139^{38k+19}+109243\cdot 139^{37k+19}+1260651\cdot 139^{36k+18}+104881\cdot 139^{35k+18}+1214421\cdot 139^{34k+17}\\||+101199\cdot 139^{33k+17}+1171561\cdot 139^{32k+16}+97437\cdot 139^{31k+16}+1123681\cdot 139^{30k+15}+92895\cdot 139^{29k+15}\\||+1062391\cdot 139^{28k+14}+86889\cdot 139^{27k+14}+980579\cdot 139^{26k+13}+78911\cdot 139^{25k+13}+873439\cdot 139^{24k+12}\\||+68709\cdot 139^{23k+12}+740963\cdot 139^{22k+11}+56599\cdot 139^{21k+11}+590593\cdot 139^{20k+10}+43491\cdot 139^{19k+10}\\||+435901\cdot 139^{18k+9}+30721\cdot 139^{17k+9}+293563\cdot 139^{16k+8}+19641\cdot 139^{15k+8}+177323\cdot 139^{14k+7}\\||+11151\cdot 139^{13k+7}+94083\cdot 139^{12k+6}+5491\cdot 139^{11k+6}+42619\cdot 139^{10k+5}+2263\cdot 139^{9k+5}\\||+15767\cdot 139^{8k+4}+739\cdot 139^{7k+4}+4439\cdot 139^{6k+3}+173\cdot 139^{5k+3}+817\cdot 139^{4k+2}\\||+23\cdot 139^{3k+2}+69\cdot 139^{2k+1}+139^{k+1}+1)\end{eqnarray}%%
Φ141(1412k+1)⋯Φ145(1452k+1)Φ141(1412k+1)⋯Φ145(1452k+1)
%%\begin{eqnarray}{\large\Phi}_{141}(141^{2k+1})|=|141^{184k+92}-141^{182k+91}+141^{178k+89}-141^{176k+88}+141^{172k+86}\\||-141^{170k+85}+141^{166k+83}-141^{164k+82}+141^{160k+80}-141^{158k+79}\\||+141^{154k+77}-141^{152k+76}+141^{148k+74}-141^{146k+73}+141^{142k+71}\\||-141^{140k+70}+141^{136k+68}-141^{134k+67}+141^{130k+65}-141^{128k+64}\\||+141^{124k+62}-141^{122k+61}+141^{118k+59}-141^{116k+58}+141^{112k+56}\\||-141^{110k+55}+141^{106k+53}-141^{104k+52}+141^{100k+50}-141^{98k+49}\\||+141^{94k+47}-141^{92k+46}+141^{90k+45}-141^{86k+43}+141^{84k+42}\\||-141^{80k+40}+141^{78k+39}-141^{74k+37}+141^{72k+36}-141^{68k+34}\\||+141^{66k+33}-141^{62k+31}+141^{60k+30}-141^{56k+28}+141^{54k+27}\\||-141^{50k+25}+141^{48k+24}-141^{44k+22}+141^{42k+21}-141^{38k+19}\\||+141^{36k+18}-141^{32k+16}+141^{30k+15}-141^{26k+13}+141^{24k+12}\\||-141^{20k+10}+141^{18k+9}-141^{14k+7}+141^{12k+6}-141^{8k+4}\\||+141^{6k+3}-141^{2k+1}+1\\|=|(141^{92k+46}-141^{91k+46}+70\cdot 141^{90k+45}-23\cdot 141^{89k+45}+793\cdot 141^{88k+44}\\||-154\cdot 141^{87k+44}+3499\cdot 141^{86k+43}-485\cdot 141^{85k+43}+8452\cdot 141^{84k+42}-969\cdot 141^{83k+42}\\||+15115\cdot 141^{82k+41}-1658\cdot 141^{81k+41}+25549\cdot 141^{80k+40}-2749\cdot 141^{79k+40}+40558\cdot 141^{78k+39}\\||-4119\cdot 141^{77k+39}+57709\cdot 141^{76k+38}-5668\cdot 141^{75k+38}+77917\cdot 141^{74k+37}-7515\cdot 141^{73k+37}\\||+100522\cdot 141^{72k+36}-9361\cdot 141^{71k+36}+121033\cdot 141^{70k+35}-10980\cdot 141^{69k+35}+139189\cdot 141^{68k+34}\\||-12373\cdot 141^{67k+34}+152848\cdot 141^{66k+33}-13193\cdot 141^{65k+33}+158641\cdot 141^{64k+32}-13408\cdot 141^{63k+32}\\||+158305\cdot 141^{62k+31}-13083\cdot 141^{61k+31}+149896\cdot 141^{60k+30}-11975\cdot 141^{59k+30}+133123\cdot 141^{58k+29}\\||-10396\cdot 141^{57k+29}+113251\cdot 141^{56k+28}-8603\cdot 141^{55k+28}+90076\cdot 141^{54k+27}-6547\cdot 141^{53k+27}\\||+66361\cdot 141^{52k+26}-4782\cdot 141^{51k+26}+48991\cdot 141^{50k+25}-3575\cdot 141^{49k+25}+36940\cdot 141^{48k+24}\\||-2779\cdot 141^{47k+24}+31537\cdot 141^{46k+23}-2779\cdot 141^{45k+23}+36940\cdot 141^{44k+22}-3575\cdot 141^{43k+22}\\||+48991\cdot 141^{42k+21}-4782\cdot 141^{41k+21}+66361\cdot 141^{40k+20}-6547\cdot 141^{39k+20}+90076\cdot 141^{38k+19}\\||-8603\cdot 141^{37k+19}+113251\cdot 141^{36k+18}-10396\cdot 141^{35k+18}+133123\cdot 141^{34k+17}-11975\cdot 141^{33k+17}\\||+149896\cdot 141^{32k+16}-13083\cdot 141^{31k+16}+158305\cdot 141^{30k+15}-13408\cdot 141^{29k+15}+158641\cdot 141^{28k+14}\\||-13193\cdot 141^{27k+14}+152848\cdot 141^{26k+13}-12373\cdot 141^{25k+13}+139189\cdot 141^{24k+12}-10980\cdot 141^{23k+12}\\||+121033\cdot 141^{22k+11}-9361\cdot 141^{21k+11}+100522\cdot 141^{20k+10}-7515\cdot 141^{19k+10}+77917\cdot 141^{18k+9}\\||-5668\cdot 141^{17k+9}+57709\cdot 141^{16k+8}-4119\cdot 141^{15k+8}+40558\cdot 141^{14k+7}-2749\cdot 141^{13k+7}\\||+25549\cdot 141^{12k+6}-1658\cdot 141^{11k+6}+15115\cdot 141^{10k+5}-969\cdot 141^{9k+5}+8452\cdot 141^{8k+4}\\||-485\cdot 141^{7k+4}+3499\cdot 141^{6k+3}-154\cdot 141^{5k+3}+793\cdot 141^{4k+2}-23\cdot 141^{3k+2}\\||+70\cdot 141^{2k+1}-141^{k+1}+1)\\|\times|(141^{92k+46}+141^{91k+46}+70\cdot 141^{90k+45}+23\cdot 141^{89k+45}+793\cdot 141^{88k+44}\\||+154\cdot 141^{87k+44}+3499\cdot 141^{86k+43}+485\cdot 141^{85k+43}+8452\cdot 141^{84k+42}+969\cdot 141^{83k+42}\\||+15115\cdot 141^{82k+41}+1658\cdot 141^{81k+41}+25549\cdot 141^{80k+40}+2749\cdot 141^{79k+40}+40558\cdot 141^{78k+39}\\||+4119\cdot 141^{77k+39}+57709\cdot 141^{76k+38}+5668\cdot 141^{75k+38}+77917\cdot 141^{74k+37}+7515\cdot 141^{73k+37}\\||+100522\cdot 141^{72k+36}+9361\cdot 141^{71k+36}+121033\cdot 141^{70k+35}+10980\cdot 141^{69k+35}+139189\cdot 141^{68k+34}\\||+12373\cdot 141^{67k+34}+152848\cdot 141^{66k+33}+13193\cdot 141^{65k+33}+158641\cdot 141^{64k+32}+13408\cdot 141^{63k+32}\\||+158305\cdot 141^{62k+31}+13083\cdot 141^{61k+31}+149896\cdot 141^{60k+30}+11975\cdot 141^{59k+30}+133123\cdot 141^{58k+29}\\||+10396\cdot 141^{57k+29}+113251\cdot 141^{56k+28}+8603\cdot 141^{55k+28}+90076\cdot 141^{54k+27}+6547\cdot 141^{53k+27}\\||+66361\cdot 141^{52k+26}+4782\cdot 141^{51k+26}+48991\cdot 141^{50k+25}+3575\cdot 141^{49k+25}+36940\cdot 141^{48k+24}\\||+2779\cdot 141^{47k+24}+31537\cdot 141^{46k+23}+2779\cdot 141^{45k+23}+36940\cdot 141^{44k+22}+3575\cdot 141^{43k+22}\\||+48991\cdot 141^{42k+21}+4782\cdot 141^{41k+21}+66361\cdot 141^{40k+20}+6547\cdot 141^{39k+20}+90076\cdot 141^{38k+19}\\||+8603\cdot 141^{37k+19}+113251\cdot 141^{36k+18}+10396\cdot 141^{35k+18}+133123\cdot 141^{34k+17}+11975\cdot 141^{33k+17}\\||+149896\cdot 141^{32k+16}+13083\cdot 141^{31k+16}+158305\cdot 141^{30k+15}+13408\cdot 141^{29k+15}+158641\cdot 141^{28k+14}\\||+13193\cdot 141^{27k+14}+152848\cdot 141^{26k+13}+12373\cdot 141^{25k+13}+139189\cdot 141^{24k+12}+10980\cdot 141^{23k+12}\\||+121033\cdot 141^{22k+11}+9361\cdot 141^{21k+11}+100522\cdot 141^{20k+10}+7515\cdot 141^{19k+10}+77917\cdot 141^{18k+9}\\||+5668\cdot 141^{17k+9}+57709\cdot 141^{16k+8}+4119\cdot 141^{15k+8}+40558\cdot 141^{14k+7}+2749\cdot 141^{13k+7}\\||+25549\cdot 141^{12k+6}+1658\cdot 141^{11k+6}+15115\cdot 141^{10k+5}+969\cdot 141^{9k+5}+8452\cdot 141^{8k+4}\\||+485\cdot 141^{7k+4}+3499\cdot 141^{6k+3}+154\cdot 141^{5k+3}+793\cdot 141^{4k+2}+23\cdot 141^{3k+2}\\||+70\cdot 141^{2k+1}+141^{k+1}+1)\\{\large\Phi}_{284}(142^{2k+1})|=|142^{280k+140}-142^{276k+138}+142^{272k+136}-142^{268k+134}+142^{264k+132}\\||-142^{260k+130}+142^{256k+128}-142^{252k+126}+142^{248k+124}-142^{244k+122}\\||+142^{240k+120}-142^{236k+118}+142^{232k+116}-142^{228k+114}+142^{224k+112}\\||-142^{220k+110}+142^{216k+108}-142^{212k+106}+142^{208k+104}-142^{204k+102}\\||+142^{200k+100}-142^{196k+98}+142^{192k+96}-142^{188k+94}+142^{184k+92}\\||-142^{180k+90}+142^{176k+88}-142^{172k+86}+142^{168k+84}-142^{164k+82}\\||+142^{160k+80}-142^{156k+78}+142^{152k+76}-142^{148k+74}+142^{144k+72}\\||-142^{140k+70}+142^{136k+68}-142^{132k+66}+142^{128k+64}-142^{124k+62}\\||+142^{120k+60}-142^{116k+58}+142^{112k+56}-142^{108k+54}+142^{104k+52}\\||-142^{100k+50}+142^{96k+48}-142^{92k+46}+142^{88k+44}-142^{84k+42}\\||+142^{80k+40}-142^{76k+38}+142^{72k+36}-142^{68k+34}+142^{64k+32}\\||-142^{60k+30}+142^{56k+28}-142^{52k+26}+142^{48k+24}-142^{44k+22}\\||+142^{40k+20}-142^{36k+18}+142^{32k+16}-142^{28k+14}+142^{24k+12}\\||-142^{20k+10}+142^{16k+8}-142^{12k+6}+142^{8k+4}-142^{4k+2}+1\\|=|(142^{140k+70}-142^{139k+70}+71\cdot 142^{138k+69}-24\cdot 142^{137k+69}+887\cdot 142^{136k+68}\\||-191\cdot 142^{135k+68}+5041\cdot 142^{134k+67}-830\cdot 142^{133k+67}+17493\cdot 142^{132k+66}-2371\cdot 142^{131k+66}\\||+42103\cdot 142^{130k+65}-4900\cdot 142^{129k+65}+75983\cdot 142^{128k+64}-7853\cdot 142^{127k+64}+110121\cdot 142^{126k+63}\\||-10502\cdot 142^{125k+63}+138909\cdot 142^{124k+62}-12769\cdot 142^{123k+62}+165643\cdot 142^{122k+61}-15068\cdot 142^{121k+61}\\||+193211\cdot 142^{120k+60}-17209\cdot 142^{119k+60}+213213\cdot 142^{118k+59}-18132\cdot 142^{117k+59}+213029\cdot 142^{116k+58}\\||-17185\cdot 142^{115k+58}+193191\cdot 142^{114k+57}-15168\cdot 142^{113k+57}+169871\cdot 142^{112k+56}-13623\cdot 142^{111k+56}\\||+158969\cdot 142^{110k+55}-13398\cdot 142^{109k+55}+163685\cdot 142^{108k+54}-14281\cdot 142^{107k+54}+178423\cdot 142^{106k+53}\\||-15786\cdot 142^{105k+53}+199387\cdot 142^{104k+52}-17845\cdot 142^{103k+52}+228265\cdot 142^{102k+51}-20668\cdot 142^{101k+51}\\||+266129\cdot 142^{100k+50}-24035\cdot 142^{99k+50}+305087\cdot 142^{98k+49}-26834\cdot 142^{97k+49}+328171\cdot 142^{96k+48}\\||-27589\cdot 142^{95k+48}+321133\cdot 142^{94k+47}-25688\cdot 142^{93k+47}+285509\cdot 142^{92k+46}-21957\cdot 142^{91k+46}\\||+236643\cdot 142^{90k+45}-17786\cdot 142^{89k+45}+188231\cdot 142^{88k+44}-13899\cdot 142^{87k+44}+144201\cdot 142^{86k+43}\\||-10450\cdot 142^{85k+43}+107885\cdot 142^{84k+42}-8063\cdot 142^{83k+42}+90951\cdot 142^{82k+41}-7864\cdot 142^{81k+41}\\||+104463\cdot 142^{80k+40}-10249\cdot 142^{79k+40}+144769\cdot 142^{78k+39}-14272\cdot 142^{77k+39}+195881\cdot 142^{76k+38}\\||-18503\cdot 142^{75k+38}+242607\cdot 142^{74k+37}-21920\cdot 142^{73k+37}+275375\cdot 142^{72k+36}-23857\cdot 142^{71k+36}\\||+287337\cdot 142^{70k+35}-23857\cdot 142^{69k+35}+275375\cdot 142^{68k+34}-21920\cdot 142^{67k+34}+242607\cdot 142^{66k+33}\\||-18503\cdot 142^{65k+33}+195881\cdot 142^{64k+32}-14272\cdot 142^{63k+32}+144769\cdot 142^{62k+31}-10249\cdot 142^{61k+31}\\||+104463\cdot 142^{60k+30}-7864\cdot 142^{59k+30}+90951\cdot 142^{58k+29}-8063\cdot 142^{57k+29}+107885\cdot 142^{56k+28}\\||-10450\cdot 142^{55k+28}+144201\cdot 142^{54k+27}-13899\cdot 142^{53k+27}+188231\cdot 142^{52k+26}-17786\cdot 142^{51k+26}\\||+236643\cdot 142^{50k+25}-21957\cdot 142^{49k+25}+285509\cdot 142^{48k+24}-25688\cdot 142^{47k+24}+321133\cdot 142^{46k+23}\\||-27589\cdot 142^{45k+23}+328171\cdot 142^{44k+22}-26834\cdot 142^{43k+22}+305087\cdot 142^{42k+21}-24035\cdot 142^{41k+21}\\||+266129\cdot 142^{40k+20}-20668\cdot 142^{39k+20}+228265\cdot 142^{38k+19}-17845\cdot 142^{37k+19}+199387\cdot 142^{36k+18}\\||-15786\cdot 142^{35k+18}+178423\cdot 142^{34k+17}-14281\cdot 142^{33k+17}+163685\cdot 142^{32k+16}-13398\cdot 142^{31k+16}\\||+158969\cdot 142^{30k+15}-13623\cdot 142^{29k+15}+169871\cdot 142^{28k+14}-15168\cdot 142^{27k+14}+193191\cdot 142^{26k+13}\\||-17185\cdot 142^{25k+13}+213029\cdot 142^{24k+12}-18132\cdot 142^{23k+12}+213213\cdot 142^{22k+11}-17209\cdot 142^{21k+11}\\||+193211\cdot 142^{20k+10}-15068\cdot 142^{19k+10}+165643\cdot 142^{18k+9}-12769\cdot 142^{17k+9}+138909\cdot 142^{16k+8}\\||-10502\cdot 142^{15k+8}+110121\cdot 142^{14k+7}-7853\cdot 142^{13k+7}+75983\cdot 142^{12k+6}-4900\cdot 142^{11k+6}\\||+42103\cdot 142^{10k+5}-2371\cdot 142^{9k+5}+17493\cdot 142^{8k+4}-830\cdot 142^{7k+4}+5041\cdot 142^{6k+3}\\||-191\cdot 142^{5k+3}+887\cdot 142^{4k+2}-24\cdot 142^{3k+2}+71\cdot 142^{2k+1}-142^{k+1}+1)\\|\times|(142^{140k+70}+142^{139k+70}+71\cdot 142^{138k+69}+24\cdot 142^{137k+69}+887\cdot 142^{136k+68}\\||+191\cdot 142^{135k+68}+5041\cdot 142^{134k+67}+830\cdot 142^{133k+67}+17493\cdot 142^{132k+66}+2371\cdot 142^{131k+66}\\||+42103\cdot 142^{130k+65}+4900\cdot 142^{129k+65}+75983\cdot 142^{128k+64}+7853\cdot 142^{127k+64}+110121\cdot 142^{126k+63}\\||+10502\cdot 142^{125k+63}+138909\cdot 142^{124k+62}+12769\cdot 142^{123k+62}+165643\cdot 142^{122k+61}+15068\cdot 142^{121k+61}\\||+193211\cdot 142^{120k+60}+17209\cdot 142^{119k+60}+213213\cdot 142^{118k+59}+18132\cdot 142^{117k+59}+213029\cdot 142^{116k+58}\\||+17185\cdot 142^{115k+58}+193191\cdot 142^{114k+57}+15168\cdot 142^{113k+57}+169871\cdot 142^{112k+56}+13623\cdot 142^{111k+56}\\||+158969\cdot 142^{110k+55}+13398\cdot 142^{109k+55}+163685\cdot 142^{108k+54}+14281\cdot 142^{107k+54}+178423\cdot 142^{106k+53}\\||+15786\cdot 142^{105k+53}+199387\cdot 142^{104k+52}+17845\cdot 142^{103k+52}+228265\cdot 142^{102k+51}+20668\cdot 142^{101k+51}\\||+266129\cdot 142^{100k+50}+24035\cdot 142^{99k+50}+305087\cdot 142^{98k+49}+26834\cdot 142^{97k+49}+328171\cdot 142^{96k+48}\\||+27589\cdot 142^{95k+48}+321133\cdot 142^{94k+47}+25688\cdot 142^{93k+47}+285509\cdot 142^{92k+46}+21957\cdot 142^{91k+46}\\||+236643\cdot 142^{90k+45}+17786\cdot 142^{89k+45}+188231\cdot 142^{88k+44}+13899\cdot 142^{87k+44}+144201\cdot 142^{86k+43}\\||+10450\cdot 142^{85k+43}+107885\cdot 142^{84k+42}+8063\cdot 142^{83k+42}+90951\cdot 142^{82k+41}+7864\cdot 142^{81k+41}\\||+104463\cdot 142^{80k+40}+10249\cdot 142^{79k+40}+144769\cdot 142^{78k+39}+14272\cdot 142^{77k+39}+195881\cdot 142^{76k+38}\\||+18503\cdot 142^{75k+38}+242607\cdot 142^{74k+37}+21920\cdot 142^{73k+37}+275375\cdot 142^{72k+36}+23857\cdot 142^{71k+36}\\||+287337\cdot 142^{70k+35}+23857\cdot 142^{69k+35}+275375\cdot 142^{68k+34}+21920\cdot 142^{67k+34}+242607\cdot 142^{66k+33}\\||+18503\cdot 142^{65k+33}+195881\cdot 142^{64k+32}+14272\cdot 142^{63k+32}+144769\cdot 142^{62k+31}+10249\cdot 142^{61k+31}\\||+104463\cdot 142^{60k+30}+7864\cdot 142^{59k+30}+90951\cdot 142^{58k+29}+8063\cdot 142^{57k+29}+107885\cdot 142^{56k+28}\\||+10450\cdot 142^{55k+28}+144201\cdot 142^{54k+27}+13899\cdot 142^{53k+27}+188231\cdot 142^{52k+26}+17786\cdot 142^{51k+26}\\||+236643\cdot 142^{50k+25}+21957\cdot 142^{49k+25}+285509\cdot 142^{48k+24}+25688\cdot 142^{47k+24}+321133\cdot 142^{46k+23}\\||+27589\cdot 142^{45k+23}+328171\cdot 142^{44k+22}+26834\cdot 142^{43k+22}+305087\cdot 142^{42k+21}+24035\cdot 142^{41k+21}\\||+266129\cdot 142^{40k+20}+20668\cdot 142^{39k+20}+228265\cdot 142^{38k+19}+17845\cdot 142^{37k+19}+199387\cdot 142^{36k+18}\\||+15786\cdot 142^{35k+18}+178423\cdot 142^{34k+17}+14281\cdot 142^{33k+17}+163685\cdot 142^{32k+16}+13398\cdot 142^{31k+16}\\||+158969\cdot 142^{30k+15}+13623\cdot 142^{29k+15}+169871\cdot 142^{28k+14}+15168\cdot 142^{27k+14}+193191\cdot 142^{26k+13}\\||+17185\cdot 142^{25k+13}+213029\cdot 142^{24k+12}+18132\cdot 142^{23k+12}+213213\cdot 142^{22k+11}+17209\cdot 142^{21k+11}\\||+193211\cdot 142^{20k+10}+15068\cdot 142^{19k+10}+165643\cdot 142^{18k+9}+12769\cdot 142^{17k+9}+138909\cdot 142^{16k+8}\\||+10502\cdot 142^{15k+8}+110121\cdot 142^{14k+7}+7853\cdot 142^{13k+7}+75983\cdot 142^{12k+6}+4900\cdot 142^{11k+6}\\||+42103\cdot 142^{10k+5}+2371\cdot 142^{9k+5}+17493\cdot 142^{8k+4}+830\cdot 142^{7k+4}+5041\cdot 142^{6k+3}\\||+191\cdot 142^{5k+3}+887\cdot 142^{4k+2}+24\cdot 142^{3k+2}+71\cdot 142^{2k+1}+142^{k+1}+1)\\{\large\Phi}_{286}(143^{2k+1})|=|143^{240k+120}+143^{238k+119}-143^{218k+109}-143^{216k+108}-143^{214k+107}\\||-143^{212k+106}+143^{196k+98}+143^{194k+97}+143^{192k+96}+143^{190k+95}\\||+143^{188k+94}+143^{186k+93}-143^{174k+87}-143^{172k+86}-143^{170k+85}\\||-143^{168k+84}-143^{166k+83}-143^{164k+82}-143^{162k+81}-143^{160k+80}\\||+143^{152k+76}+143^{150k+75}+143^{148k+74}+143^{146k+73}+143^{144k+72}\\||+143^{142k+71}+143^{140k+70}+143^{138k+69}+143^{136k+68}+143^{134k+67}\\||-143^{130k+65}-143^{128k+64}-143^{126k+63}-143^{124k+62}-143^{122k+61}\\||-143^{120k+60}-143^{118k+59}-143^{116k+58}-143^{114k+57}-143^{112k+56}\\||-143^{110k+55}+143^{106k+53}+143^{104k+52}+143^{102k+51}+143^{100k+50}\\||+143^{98k+49}+143^{96k+48}+143^{94k+47}+143^{92k+46}+143^{90k+45}\\||+143^{88k+44}-143^{80k+40}-143^{78k+39}-143^{76k+38}-143^{74k+37}\\||-143^{72k+36}-143^{70k+35}-143^{68k+34}-143^{66k+33}+143^{54k+27}\\||+143^{52k+26}+143^{50k+25}+143^{48k+24}+143^{46k+23}+143^{44k+22}\\||-143^{28k+14}-143^{26k+13}-143^{24k+12}-143^{22k+11}+143^{2k+1}+1\\|=|(143^{120k+60}-143^{119k+60}+72\cdot 143^{118k+59}-24\cdot 143^{117k+59}+840\cdot 143^{116k+58}\\||-158\cdot 143^{115k+58}+3298\cdot 143^{114k+57}-360\cdot 143^{113k+57}+3480\cdot 143^{112k+56}+56\cdot 143^{111k+56}\\||-8442\cdot 143^{110k+55}+1479\cdot 143^{109k+55}-23627\cdot 143^{108k+54}+1717\cdot 143^{107k+54}-4939\cdot 143^{106k+53}\\||-1762\cdot 143^{105k+53}+48620\cdot 143^{104k+52}-5380\cdot 143^{103k+52}+56056\cdot 143^{102k+51}-1654\cdot 143^{101k+51}\\||-35750\cdot 143^{100k+50}+7532\cdot 143^{99k+50}-118515\cdot 143^{98k+49}+8655\cdot 143^{97k+49}-44171\cdot 143^{96k+48}\\||-3415\cdot 143^{95k+48}+119725\cdot 143^{94k+47}-13419\cdot 143^{93k+47}+144594\cdot 143^{92k+46}-6312\cdot 143^{91k+46}\\||-22600\cdot 143^{90k+45}+9554\cdot 143^{89k+45}-167128\cdot 143^{88k+44}+13735\cdot 143^{87k+44}-109167\cdot 143^{86k+43}\\||+1889\cdot 143^{85k+43}+66987\cdot 143^{84k+42}-11167\cdot 143^{83k+42}+160517\cdot 143^{82k+41}-11975\cdot 143^{81k+41}\\||+87593\cdot 143^{80k+40}-660\cdot 143^{79k+40}-76362\cdot 143^{78k+39}+12000\cdot 143^{77k+39}-173821\cdot 143^{76k+38}\\||+12939\cdot 143^{75k+38}-85981\cdot 143^{74k+37}-1419\cdot 143^{73k+37}+124277\cdot 143^{72k+36}-16671\cdot 143^{71k+36}\\||+211707\cdot 143^{70k+35}-12563\cdot 143^{69k+35}+30651\cdot 143^{68k+34}+8991\cdot 143^{67k+34}-214336\cdot 143^{66k+33}\\||+20763\cdot 143^{65k+33}-193095\cdot 143^{64k+32}+5485\cdot 143^{63k+32}+89039\cdot 143^{62k+31}-17867\cdot 143^{61k+31}\\||+261241\cdot 143^{60k+30}-17867\cdot 143^{59k+30}+89039\cdot 143^{58k+29}+5485\cdot 143^{57k+29}-193095\cdot 143^{56k+28}\\||+20763\cdot 143^{55k+28}-214336\cdot 143^{54k+27}+8991\cdot 143^{53k+27}+30651\cdot 143^{52k+26}-12563\cdot 143^{51k+26}\\||+211707\cdot 143^{50k+25}-16671\cdot 143^{49k+25}+124277\cdot 143^{48k+24}-1419\cdot 143^{47k+24}-85981\cdot 143^{46k+23}\\||+12939\cdot 143^{45k+23}-173821\cdot 143^{44k+22}+12000\cdot 143^{43k+22}-76362\cdot 143^{42k+21}-660\cdot 143^{41k+21}\\||+87593\cdot 143^{40k+20}-11975\cdot 143^{39k+20}+160517\cdot 143^{38k+19}-11167\cdot 143^{37k+19}+66987\cdot 143^{36k+18}\\||+1889\cdot 143^{35k+18}-109167\cdot 143^{34k+17}+13735\cdot 143^{33k+17}-167128\cdot 143^{32k+16}+9554\cdot 143^{31k+16}\\||-22600\cdot 143^{30k+15}-6312\cdot 143^{29k+15}+144594\cdot 143^{28k+14}-13419\cdot 143^{27k+14}+119725\cdot 143^{26k+13}\\||-3415\cdot 143^{25k+13}-44171\cdot 143^{24k+12}+8655\cdot 143^{23k+12}-118515\cdot 143^{22k+11}+7532\cdot 143^{21k+11}\\||-35750\cdot 143^{20k+10}-1654\cdot 143^{19k+10}+56056\cdot 143^{18k+9}-5380\cdot 143^{17k+9}+48620\cdot 143^{16k+8}\\||-1762\cdot 143^{15k+8}-4939\cdot 143^{14k+7}+1717\cdot 143^{13k+7}-23627\cdot 143^{12k+6}+1479\cdot 143^{11k+6}\\||-8442\cdot 143^{10k+5}+56\cdot 143^{9k+5}+3480\cdot 143^{8k+4}-360\cdot 143^{7k+4}+3298\cdot 143^{6k+3}\\||-158\cdot 143^{5k+3}+840\cdot 143^{4k+2}-24\cdot 143^{3k+2}+72\cdot 143^{2k+1}-143^{k+1}+1)\\|\times|(143^{120k+60}+143^{119k+60}+72\cdot 143^{118k+59}+24\cdot 143^{117k+59}+840\cdot 143^{116k+58}\\||+158\cdot 143^{115k+58}+3298\cdot 143^{114k+57}+360\cdot 143^{113k+57}+3480\cdot 143^{112k+56}-56\cdot 143^{111k+56}\\||-8442\cdot 143^{110k+55}-1479\cdot 143^{109k+55}-23627\cdot 143^{108k+54}-1717\cdot 143^{107k+54}-4939\cdot 143^{106k+53}\\||+1762\cdot 143^{105k+53}+48620\cdot 143^{104k+52}+5380\cdot 143^{103k+52}+56056\cdot 143^{102k+51}+1654\cdot 143^{101k+51}\\||-35750\cdot 143^{100k+50}-7532\cdot 143^{99k+50}-118515\cdot 143^{98k+49}-8655\cdot 143^{97k+49}-44171\cdot 143^{96k+48}\\||+3415\cdot 143^{95k+48}+119725\cdot 143^{94k+47}+13419\cdot 143^{93k+47}+144594\cdot 143^{92k+46}+6312\cdot 143^{91k+46}\\||-22600\cdot 143^{90k+45}-9554\cdot 143^{89k+45}-167128\cdot 143^{88k+44}-13735\cdot 143^{87k+44}-109167\cdot 143^{86k+43}\\||-1889\cdot 143^{85k+43}+66987\cdot 143^{84k+42}+11167\cdot 143^{83k+42}+160517\cdot 143^{82k+41}+11975\cdot 143^{81k+41}\\||+87593\cdot 143^{80k+40}+660\cdot 143^{79k+40}-76362\cdot 143^{78k+39}-12000\cdot 143^{77k+39}-173821\cdot 143^{76k+38}\\||-12939\cdot 143^{75k+38}-85981\cdot 143^{74k+37}+1419\cdot 143^{73k+37}+124277\cdot 143^{72k+36}+16671\cdot 143^{71k+36}\\||+211707\cdot 143^{70k+35}+12563\cdot 143^{69k+35}+30651\cdot 143^{68k+34}-8991\cdot 143^{67k+34}-214336\cdot 143^{66k+33}\\||-20763\cdot 143^{65k+33}-193095\cdot 143^{64k+32}-5485\cdot 143^{63k+32}+89039\cdot 143^{62k+31}+17867\cdot 143^{61k+31}\\||+261241\cdot 143^{60k+30}+17867\cdot 143^{59k+30}+89039\cdot 143^{58k+29}-5485\cdot 143^{57k+29}-193095\cdot 143^{56k+28}\\||-20763\cdot 143^{55k+28}-214336\cdot 143^{54k+27}-8991\cdot 143^{53k+27}+30651\cdot 143^{52k+26}+12563\cdot 143^{51k+26}\\||+211707\cdot 143^{50k+25}+16671\cdot 143^{49k+25}+124277\cdot 143^{48k+24}+1419\cdot 143^{47k+24}-85981\cdot 143^{46k+23}\\||-12939\cdot 143^{45k+23}-173821\cdot 143^{44k+22}-12000\cdot 143^{43k+22}-76362\cdot 143^{42k+21}+660\cdot 143^{41k+21}\\||+87593\cdot 143^{40k+20}+11975\cdot 143^{39k+20}+160517\cdot 143^{38k+19}+11167\cdot 143^{37k+19}+66987\cdot 143^{36k+18}\\||-1889\cdot 143^{35k+18}-109167\cdot 143^{34k+17}-13735\cdot 143^{33k+17}-167128\cdot 143^{32k+16}-9554\cdot 143^{31k+16}\\||-22600\cdot 143^{30k+15}+6312\cdot 143^{29k+15}+144594\cdot 143^{28k+14}+13419\cdot 143^{27k+14}+119725\cdot 143^{26k+13}\\||+3415\cdot 143^{25k+13}-44171\cdot 143^{24k+12}-8655\cdot 143^{23k+12}-118515\cdot 143^{22k+11}-7532\cdot 143^{21k+11}\\||-35750\cdot 143^{20k+10}+1654\cdot 143^{19k+10}+56056\cdot 143^{18k+9}+5380\cdot 143^{17k+9}+48620\cdot 143^{16k+8}\\||+1762\cdot 143^{15k+8}-4939\cdot 143^{14k+7}-1717\cdot 143^{13k+7}-23627\cdot 143^{12k+6}-1479\cdot 143^{11k+6}\\||-8442\cdot 143^{10k+5}-56\cdot 143^{9k+5}+3480\cdot 143^{8k+4}+360\cdot 143^{7k+4}+3298\cdot 143^{6k+3}\\||+158\cdot 143^{5k+3}+840\cdot 143^{4k+2}+24\cdot 143^{3k+2}+72\cdot 143^{2k+1}+143^{k+1}+1)\\{\large\Phi}_{145}(145^{2k+1})|=|145^{224k+112}-145^{222k+111}+145^{214k+107}-145^{212k+106}+145^{204k+102}\\||-145^{202k+101}+145^{194k+97}-145^{192k+96}+145^{184k+92}-145^{182k+91}\\||+145^{174k+87}-145^{172k+86}+145^{166k+83}-145^{162k+81}+145^{156k+78}\\||-145^{152k+76}+145^{146k+73}-145^{142k+71}+145^{136k+68}-145^{132k+66}\\||+145^{126k+63}-145^{122k+61}+145^{116k+58}-145^{112k+56}+145^{108k+54}\\||-145^{102k+51}+145^{98k+49}-145^{92k+46}+145^{88k+44}-145^{82k+41}\\||+145^{78k+39}-145^{72k+36}+145^{68k+34}-145^{62k+31}+145^{58k+29}\\||-145^{52k+26}+145^{50k+25}-145^{42k+21}+145^{40k+20}-145^{32k+16}\\||+145^{30k+15}-145^{22k+11}+145^{20k+10}-145^{12k+6}+145^{10k+5}\\||-145^{2k+1}+1\\|=|(145^{112k+56}-145^{111k+56}+72\cdot 145^{110k+55}-24\cdot 145^{109k+55}+888\cdot 145^{108k+54}\\||-187\cdot 145^{107k+54}+4939\cdot 145^{106k+53}-802\cdot 145^{105k+53}+17170\cdot 145^{104k+52}-2336\cdot 145^{103k+52}\\||+42861\cdot 145^{102k+51}-5079\cdot 145^{101k+51}+82152\cdot 145^{100k+50}-8660\cdot 145^{99k+50}+125408\cdot 145^{98k+49}\\||-11881\cdot 145^{97k+49}+154789\cdot 145^{96k+48}-13160\cdot 145^{95k+48}+152640\cdot 145^{94k+47}-11350\cdot 145^{93k+47}\\||+110821\cdot 145^{92k+46}-6329\cdot 145^{91k+46}+34732\cdot 145^{90k+45}+924\cdot 145^{89k+45}-58472\cdot 145^{88k+44}\\||+8657\cdot 145^{87k+44}-145491\cdot 145^{86k+43}+14922\cdot 145^{85k+43}-205030\cdot 145^{84k+42}+18327\cdot 145^{83k+42}\\||-226824\cdot 145^{82k+41}+18643\cdot 145^{81k+41}-215308\cdot 145^{80k+40}+16696\cdot 145^{79k+40}-183227\cdot 145^{78k+39}\\||+13524\cdot 145^{77k+39}-140351\cdot 145^{76k+38}+9614\cdot 145^{75k+38}-89050\cdot 145^{74k+37}+5013\cdot 145^{73k+37}\\||-30304\cdot 145^{72k+36}-7\cdot 145^{71k+36}+29452\cdot 145^{70k+35}-4684\cdot 145^{69k+35}+79733\cdot 145^{68k+34}\\||-8186\cdot 145^{67k+34}+112399\cdot 145^{66k+33}-10046\cdot 145^{65k+33}+124250\cdot 145^{64k+32}-10165\cdot 145^{63k+32}\\||+115876\cdot 145^{62k+31}-8765\cdot 145^{61k+31}+92812\cdot 145^{60k+30}-6608\cdot 145^{59k+30}+67973\cdot 145^{58k+29}\\||-4986\cdot 145^{57k+29}+57219\cdot 145^{56k+28}-4986\cdot 145^{55k+28}+67973\cdot 145^{54k+27}-6608\cdot 145^{53k+27}\\||+92812\cdot 145^{52k+26}-8765\cdot 145^{51k+26}+115876\cdot 145^{50k+25}-10165\cdot 145^{49k+25}+124250\cdot 145^{48k+24}\\||-10046\cdot 145^{47k+24}+112399\cdot 145^{46k+23}-8186\cdot 145^{45k+23}+79733\cdot 145^{44k+22}-4684\cdot 145^{43k+22}\\||+29452\cdot 145^{42k+21}-7\cdot 145^{41k+21}-30304\cdot 145^{40k+20}+5013\cdot 145^{39k+20}-89050\cdot 145^{38k+19}\\||+9614\cdot 145^{37k+19}-140351\cdot 145^{36k+18}+13524\cdot 145^{35k+18}-183227\cdot 145^{34k+17}+16696\cdot 145^{33k+17}\\||-215308\cdot 145^{32k+16}+18643\cdot 145^{31k+16}-226824\cdot 145^{30k+15}+18327\cdot 145^{29k+15}-205030\cdot 145^{28k+14}\\||+14922\cdot 145^{27k+14}-145491\cdot 145^{26k+13}+8657\cdot 145^{25k+13}-58472\cdot 145^{24k+12}+924\cdot 145^{23k+12}\\||+34732\cdot 145^{22k+11}-6329\cdot 145^{21k+11}+110821\cdot 145^{20k+10}-11350\cdot 145^{19k+10}+152640\cdot 145^{18k+9}\\||-13160\cdot 145^{17k+9}+154789\cdot 145^{16k+8}-11881\cdot 145^{15k+8}+125408\cdot 145^{14k+7}-8660\cdot 145^{13k+7}\\||+82152\cdot 145^{12k+6}-5079\cdot 145^{11k+6}+42861\cdot 145^{10k+5}-2336\cdot 145^{9k+5}+17170\cdot 145^{8k+4}\\||-802\cdot 145^{7k+4}+4939\cdot 145^{6k+3}-187\cdot 145^{5k+3}+888\cdot 145^{4k+2}-24\cdot 145^{3k+2}\\||+72\cdot 145^{2k+1}-145^{k+1}+1)\\|\times|(145^{112k+56}+145^{111k+56}+72\cdot 145^{110k+55}+24\cdot 145^{109k+55}+888\cdot 145^{108k+54}\\||+187\cdot 145^{107k+54}+4939\cdot 145^{106k+53}+802\cdot 145^{105k+53}+17170\cdot 145^{104k+52}+2336\cdot 145^{103k+52}\\||+42861\cdot 145^{102k+51}+5079\cdot 145^{101k+51}+82152\cdot 145^{100k+50}+8660\cdot 145^{99k+50}+125408\cdot 145^{98k+49}\\||+11881\cdot 145^{97k+49}+154789\cdot 145^{96k+48}+13160\cdot 145^{95k+48}+152640\cdot 145^{94k+47}+11350\cdot 145^{93k+47}\\||+110821\cdot 145^{92k+46}+6329\cdot 145^{91k+46}+34732\cdot 145^{90k+45}-924\cdot 145^{89k+45}-58472\cdot 145^{88k+44}\\||-8657\cdot 145^{87k+44}-145491\cdot 145^{86k+43}-14922\cdot 145^{85k+43}-205030\cdot 145^{84k+42}-18327\cdot 145^{83k+42}\\||-226824\cdot 145^{82k+41}-18643\cdot 145^{81k+41}-215308\cdot 145^{80k+40}-16696\cdot 145^{79k+40}-183227\cdot 145^{78k+39}\\||-13524\cdot 145^{77k+39}-140351\cdot 145^{76k+38}-9614\cdot 145^{75k+38}-89050\cdot 145^{74k+37}-5013\cdot 145^{73k+37}\\||-30304\cdot 145^{72k+36}+7\cdot 145^{71k+36}+29452\cdot 145^{70k+35}+4684\cdot 145^{69k+35}+79733\cdot 145^{68k+34}\\||+8186\cdot 145^{67k+34}+112399\cdot 145^{66k+33}+10046\cdot 145^{65k+33}+124250\cdot 145^{64k+32}+10165\cdot 145^{63k+32}\\||+115876\cdot 145^{62k+31}+8765\cdot 145^{61k+31}+92812\cdot 145^{60k+30}+6608\cdot 145^{59k+30}+67973\cdot 145^{58k+29}\\||+4986\cdot 145^{57k+29}+57219\cdot 145^{56k+28}+4986\cdot 145^{55k+28}+67973\cdot 145^{54k+27}+6608\cdot 145^{53k+27}\\||+92812\cdot 145^{52k+26}+8765\cdot 145^{51k+26}+115876\cdot 145^{50k+25}+10165\cdot 145^{49k+25}+124250\cdot 145^{48k+24}\\||+10046\cdot 145^{47k+24}+112399\cdot 145^{46k+23}+8186\cdot 145^{45k+23}+79733\cdot 145^{44k+22}+4684\cdot 145^{43k+22}\\||+29452\cdot 145^{42k+21}+7\cdot 145^{41k+21}-30304\cdot 145^{40k+20}-5013\cdot 145^{39k+20}-89050\cdot 145^{38k+19}\\||-9614\cdot 145^{37k+19}-140351\cdot 145^{36k+18}-13524\cdot 145^{35k+18}-183227\cdot 145^{34k+17}-16696\cdot 145^{33k+17}\\||-215308\cdot 145^{32k+16}-18643\cdot 145^{31k+16}-226824\cdot 145^{30k+15}-18327\cdot 145^{29k+15}-205030\cdot 145^{28k+14}\\||-14922\cdot 145^{27k+14}-145491\cdot 145^{26k+13}-8657\cdot 145^{25k+13}-58472\cdot 145^{24k+12}-924\cdot 145^{23k+12}\\||+34732\cdot 145^{22k+11}+6329\cdot 145^{21k+11}+110821\cdot 145^{20k+10}+11350\cdot 145^{19k+10}+152640\cdot 145^{18k+9}\\||+13160\cdot 145^{17k+9}+154789\cdot 145^{16k+8}+11881\cdot 145^{15k+8}+125408\cdot 145^{14k+7}+8660\cdot 145^{13k+7}\\||+82152\cdot 145^{12k+6}+5079\cdot 145^{11k+6}+42861\cdot 145^{10k+5}+2336\cdot 145^{9k+5}+17170\cdot 145^{8k+4}\\||+802\cdot 145^{7k+4}+4939\cdot 145^{6k+3}+187\cdot 145^{5k+3}+888\cdot 145^{4k+2}+24\cdot 145^{3k+2}\\||+72\cdot 145^{2k+1}+145^{k+1}+1)\end{eqnarray}%%
Φ292(1462k+1)⋯Φ149(1492k+1)Φ292(1462k+1)⋯Φ149(1492k+1)
%%\begin{eqnarray}{\large\Phi}_{292}(146^{2k+1})|=|146^{288k+144}-146^{284k+142}+146^{280k+140}-146^{276k+138}+146^{272k+136}\\||-146^{268k+134}+146^{264k+132}-146^{260k+130}+146^{256k+128}-146^{252k+126}\\||+146^{248k+124}-146^{244k+122}+146^{240k+120}-146^{236k+118}+146^{232k+116}\\||-146^{228k+114}+146^{224k+112}-146^{220k+110}+146^{216k+108}-146^{212k+106}\\||+146^{208k+104}-146^{204k+102}+146^{200k+100}-146^{196k+98}+146^{192k+96}\\||-146^{188k+94}+146^{184k+92}-146^{180k+90}+146^{176k+88}-146^{172k+86}\\||+146^{168k+84}-146^{164k+82}+146^{160k+80}-146^{156k+78}+146^{152k+76}\\||-146^{148k+74}+146^{144k+72}-146^{140k+70}+146^{136k+68}-146^{132k+66}\\||+146^{128k+64}-146^{124k+62}+146^{120k+60}-146^{116k+58}+146^{112k+56}\\||-146^{108k+54}+146^{104k+52}-146^{100k+50}+146^{96k+48}-146^{92k+46}\\||+146^{88k+44}-146^{84k+42}+146^{80k+40}-146^{76k+38}+146^{72k+36}\\||-146^{68k+34}+146^{64k+32}-146^{60k+30}+146^{56k+28}-146^{52k+26}\\||+146^{48k+24}-146^{44k+22}+146^{40k+20}-146^{36k+18}+146^{32k+16}\\||-146^{28k+14}+146^{24k+12}-146^{20k+10}+146^{16k+8}-146^{12k+6}\\||+146^{8k+4}-146^{4k+2}+1\\|=|(146^{144k+72}-146^{143k+72}+73\cdot 146^{142k+71}-24\cdot 146^{141k+71}+839\cdot 146^{140k+70}\\||-153\cdot 146^{139k+70}+3139\cdot 146^{138k+69}-332\cdot 146^{137k+69}+3477\cdot 146^{136k+68}-89\cdot 146^{135k+68}\\||-2263\cdot 146^{134k+67}+362\cdot 146^{133k+67}-3445\cdot 146^{132k+66}-15\cdot 146^{131k+66}+4015\cdot 146^{130k+65}\\||-474\cdot 146^{129k+65}+5469\cdot 146^{128k+64}-441\cdot 146^{127k+64}+6205\cdot 146^{126k+63}-492\cdot 146^{125k+63}\\||+1699\cdot 146^{124k+62}+479\cdot 146^{123k+62}-11461\cdot 146^{122k+61}+878\cdot 146^{121k+61}-3863\cdot 146^{120k+60}\\||-295\cdot 146^{119k+60}+7665\cdot 146^{118k+59}-770\cdot 146^{117k+59}+11299\cdot 146^{116k+58}-1083\cdot 146^{115k+58}\\||+10439\cdot 146^{114k+57}-86\cdot 146^{113k+57}-11227\cdot 146^{112k+56}+1571\cdot 146^{111k+56}-18031\cdot 146^{110k+55}\\||+852\cdot 146^{109k+55}-513\cdot 146^{108k+54}-683\cdot 146^{107k+54}+15111\cdot 146^{106k+53}-1566\cdot 146^{105k+53}\\||+17573\cdot 146^{104k+52}-839\cdot 146^{103k+52}-1387\cdot 146^{102k+51}+1092\cdot 146^{101k+51}-21861\cdot 146^{100k+50}\\||+2063\cdot 146^{99k+50}-20513\cdot 146^{98k+49}+696\cdot 146^{97k+49}+7801\cdot 146^{96k+48}-1753\cdot 146^{95k+48}\\||+25769\cdot 146^{94k+47}-1726\cdot 146^{93k+47}+10443\cdot 146^{92k+46}+105\cdot 146^{91k+46}-12629\cdot 146^{90k+45}\\||+1860\cdot 146^{89k+45}-27139\cdot 146^{88k+44}+1823\cdot 146^{87k+44}-6935\cdot 146^{86k+43}-958\cdot 146^{85k+43}\\||+24587\cdot 146^{84k+42}-2285\cdot 146^{83k+42}+22411\cdot 146^{82k+41}-1064\cdot 146^{81k+41}+885\cdot 146^{80k+40}\\||+1035\cdot 146^{79k+40}-23871\cdot 146^{78k+39}+2276\cdot 146^{77k+39}-20073\cdot 146^{76k+38}+357\cdot 146^{75k+38}\\||+12775\cdot 146^{74k+37}-2060\cdot 146^{73k+37}+29121\cdot 146^{72k+36}-2060\cdot 146^{71k+36}+12775\cdot 146^{70k+35}\\||+357\cdot 146^{69k+35}-20073\cdot 146^{68k+34}+2276\cdot 146^{67k+34}-23871\cdot 146^{66k+33}+1035\cdot 146^{65k+33}\\||+885\cdot 146^{64k+32}-1064\cdot 146^{63k+32}+22411\cdot 146^{62k+31}-2285\cdot 146^{61k+31}+24587\cdot 146^{60k+30}\\||-958\cdot 146^{59k+30}-6935\cdot 146^{58k+29}+1823\cdot 146^{57k+29}-27139\cdot 146^{56k+28}+1860\cdot 146^{55k+28}\\||-12629\cdot 146^{54k+27}+105\cdot 146^{53k+27}+10443\cdot 146^{52k+26}-1726\cdot 146^{51k+26}+25769\cdot 146^{50k+25}\\||-1753\cdot 146^{49k+25}+7801\cdot 146^{48k+24}+696\cdot 146^{47k+24}-20513\cdot 146^{46k+23}+2063\cdot 146^{45k+23}\\||-21861\cdot 146^{44k+22}+1092\cdot 146^{43k+22}-1387\cdot 146^{42k+21}-839\cdot 146^{41k+21}+17573\cdot 146^{40k+20}\\||-1566\cdot 146^{39k+20}+15111\cdot 146^{38k+19}-683\cdot 146^{37k+19}-513\cdot 146^{36k+18}+852\cdot 146^{35k+18}\\||-18031\cdot 146^{34k+17}+1571\cdot 146^{33k+17}-11227\cdot 146^{32k+16}-86\cdot 146^{31k+16}+10439\cdot 146^{30k+15}\\||-1083\cdot 146^{29k+15}+11299\cdot 146^{28k+14}-770\cdot 146^{27k+14}+7665\cdot 146^{26k+13}-295\cdot 146^{25k+13}\\||-3863\cdot 146^{24k+12}+878\cdot 146^{23k+12}-11461\cdot 146^{22k+11}+479\cdot 146^{21k+11}+1699\cdot 146^{20k+10}\\||-492\cdot 146^{19k+10}+6205\cdot 146^{18k+9}-441\cdot 146^{17k+9}+5469\cdot 146^{16k+8}-474\cdot 146^{15k+8}\\||+4015\cdot 146^{14k+7}-15\cdot 146^{13k+7}-3445\cdot 146^{12k+6}+362\cdot 146^{11k+6}-2263\cdot 146^{10k+5}\\||-89\cdot 146^{9k+5}+3477\cdot 146^{8k+4}-332\cdot 146^{7k+4}+3139\cdot 146^{6k+3}-153\cdot 146^{5k+3}\\||+839\cdot 146^{4k+2}-24\cdot 146^{3k+2}+73\cdot 146^{2k+1}-146^{k+1}+1)\\|\times|(146^{144k+72}+146^{143k+72}+73\cdot 146^{142k+71}+24\cdot 146^{141k+71}+839\cdot 146^{140k+70}\\||+153\cdot 146^{139k+70}+3139\cdot 146^{138k+69}+332\cdot 146^{137k+69}+3477\cdot 146^{136k+68}+89\cdot 146^{135k+68}\\||-2263\cdot 146^{134k+67}-362\cdot 146^{133k+67}-3445\cdot 146^{132k+66}+15\cdot 146^{131k+66}+4015\cdot 146^{130k+65}\\||+474\cdot 146^{129k+65}+5469\cdot 146^{128k+64}+441\cdot 146^{127k+64}+6205\cdot 146^{126k+63}+492\cdot 146^{125k+63}\\||+1699\cdot 146^{124k+62}-479\cdot 146^{123k+62}-11461\cdot 146^{122k+61}-878\cdot 146^{121k+61}-3863\cdot 146^{120k+60}\\||+295\cdot 146^{119k+60}+7665\cdot 146^{118k+59}+770\cdot 146^{117k+59}+11299\cdot 146^{116k+58}+1083\cdot 146^{115k+58}\\||+10439\cdot 146^{114k+57}+86\cdot 146^{113k+57}-11227\cdot 146^{112k+56}-1571\cdot 146^{111k+56}-18031\cdot 146^{110k+55}\\||-852\cdot 146^{109k+55}-513\cdot 146^{108k+54}+683\cdot 146^{107k+54}+15111\cdot 146^{106k+53}+1566\cdot 146^{105k+53}\\||+17573\cdot 146^{104k+52}+839\cdot 146^{103k+52}-1387\cdot 146^{102k+51}-1092\cdot 146^{101k+51}-21861\cdot 146^{100k+50}\\||-2063\cdot 146^{99k+50}-20513\cdot 146^{98k+49}-696\cdot 146^{97k+49}+7801\cdot 146^{96k+48}+1753\cdot 146^{95k+48}\\||+25769\cdot 146^{94k+47}+1726\cdot 146^{93k+47}+10443\cdot 146^{92k+46}-105\cdot 146^{91k+46}-12629\cdot 146^{90k+45}\\||-1860\cdot 146^{89k+45}-27139\cdot 146^{88k+44}-1823\cdot 146^{87k+44}-6935\cdot 146^{86k+43}+958\cdot 146^{85k+43}\\||+24587\cdot 146^{84k+42}+2285\cdot 146^{83k+42}+22411\cdot 146^{82k+41}+1064\cdot 146^{81k+41}+885\cdot 146^{80k+40}\\||-1035\cdot 146^{79k+40}-23871\cdot 146^{78k+39}-2276\cdot 146^{77k+39}-20073\cdot 146^{76k+38}-357\cdot 146^{75k+38}\\||+12775\cdot 146^{74k+37}+2060\cdot 146^{73k+37}+29121\cdot 146^{72k+36}+2060\cdot 146^{71k+36}+12775\cdot 146^{70k+35}\\||-357\cdot 146^{69k+35}-20073\cdot 146^{68k+34}-2276\cdot 146^{67k+34}-23871\cdot 146^{66k+33}-1035\cdot 146^{65k+33}\\||+885\cdot 146^{64k+32}+1064\cdot 146^{63k+32}+22411\cdot 146^{62k+31}+2285\cdot 146^{61k+31}+24587\cdot 146^{60k+30}\\||+958\cdot 146^{59k+30}-6935\cdot 146^{58k+29}-1823\cdot 146^{57k+29}-27139\cdot 146^{56k+28}-1860\cdot 146^{55k+28}\\||-12629\cdot 146^{54k+27}-105\cdot 146^{53k+27}+10443\cdot 146^{52k+26}+1726\cdot 146^{51k+26}+25769\cdot 146^{50k+25}\\||+1753\cdot 146^{49k+25}+7801\cdot 146^{48k+24}-696\cdot 146^{47k+24}-20513\cdot 146^{46k+23}-2063\cdot 146^{45k+23}\\||-21861\cdot 146^{44k+22}-1092\cdot 146^{43k+22}-1387\cdot 146^{42k+21}+839\cdot 146^{41k+21}+17573\cdot 146^{40k+20}\\||+1566\cdot 146^{39k+20}+15111\cdot 146^{38k+19}+683\cdot 146^{37k+19}-513\cdot 146^{36k+18}-852\cdot 146^{35k+18}\\||-18031\cdot 146^{34k+17}-1571\cdot 146^{33k+17}-11227\cdot 146^{32k+16}+86\cdot 146^{31k+16}+10439\cdot 146^{30k+15}\\||+1083\cdot 146^{29k+15}+11299\cdot 146^{28k+14}+770\cdot 146^{27k+14}+7665\cdot 146^{26k+13}+295\cdot 146^{25k+13}\\||-3863\cdot 146^{24k+12}-878\cdot 146^{23k+12}-11461\cdot 146^{22k+11}-479\cdot 146^{21k+11}+1699\cdot 146^{20k+10}\\||+492\cdot 146^{19k+10}+6205\cdot 146^{18k+9}+441\cdot 146^{17k+9}+5469\cdot 146^{16k+8}+474\cdot 146^{15k+8}\\||+4015\cdot 146^{14k+7}+15\cdot 146^{13k+7}-3445\cdot 146^{12k+6}-362\cdot 146^{11k+6}-2263\cdot 146^{10k+5}\\||+89\cdot 146^{9k+5}+3477\cdot 146^{8k+4}+332\cdot 146^{7k+4}+3139\cdot 146^{6k+3}+153\cdot 146^{5k+3}\\||+839\cdot 146^{4k+2}+24\cdot 146^{3k+2}+73\cdot 146^{2k+1}+146^{k+1}+1)\\{\large\Phi}_{149}(149^{2k+1})|=|149^{296k+148}+149^{294k+147}+149^{292k+146}+149^{290k+145}+149^{288k+144}\\||+149^{286k+143}+149^{284k+142}+149^{282k+141}+149^{280k+140}+149^{278k+139}\\||+149^{276k+138}+149^{274k+137}+149^{272k+136}+149^{270k+135}+149^{268k+134}\\||+149^{266k+133}+149^{264k+132}+149^{262k+131}+149^{260k+130}+149^{258k+129}\\||+149^{256k+128}+149^{254k+127}+149^{252k+126}+149^{250k+125}+149^{248k+124}\\||+149^{246k+123}+149^{244k+122}+149^{242k+121}+149^{240k+120}+149^{238k+119}\\||+149^{236k+118}+149^{234k+117}+149^{232k+116}+149^{230k+115}+149^{228k+114}\\||+149^{226k+113}+149^{224k+112}+149^{222k+111}+149^{220k+110}+149^{218k+109}\\||+149^{216k+108}+149^{214k+107}+149^{212k+106}+149^{210k+105}+149^{208k+104}\\||+149^{206k+103}+149^{204k+102}+149^{202k+101}+149^{200k+100}+149^{198k+99}\\||+149^{196k+98}+149^{194k+97}+149^{192k+96}+149^{190k+95}+149^{188k+94}\\||+149^{186k+93}+149^{184k+92}+149^{182k+91}+149^{180k+90}+149^{178k+89}\\||+149^{176k+88}+149^{174k+87}+149^{172k+86}+149^{170k+85}+149^{168k+84}\\||+149^{166k+83}+149^{164k+82}+149^{162k+81}+149^{160k+80}+149^{158k+79}\\||+149^{156k+78}+149^{154k+77}+149^{152k+76}+149^{150k+75}+149^{148k+74}\\||+149^{146k+73}+149^{144k+72}+149^{142k+71}+149^{140k+70}+149^{138k+69}\\||+149^{136k+68}+149^{134k+67}+149^{132k+66}+149^{130k+65}+149^{128k+64}\\||+149^{126k+63}+149^{124k+62}+149^{122k+61}+149^{120k+60}+149^{118k+59}\\||+149^{116k+58}+149^{114k+57}+149^{112k+56}+149^{110k+55}+149^{108k+54}\\||+149^{106k+53}+149^{104k+52}+149^{102k+51}+149^{100k+50}+149^{98k+49}\\||+149^{96k+48}+149^{94k+47}+149^{92k+46}+149^{90k+45}+149^{88k+44}\\||+149^{86k+43}+149^{84k+42}+149^{82k+41}+149^{80k+40}+149^{78k+39}\\||+149^{76k+38}+149^{74k+37}+149^{72k+36}+149^{70k+35}+149^{68k+34}\\||+149^{66k+33}+149^{64k+32}+149^{62k+31}+149^{60k+30}+149^{58k+29}\\||+149^{56k+28}+149^{54k+27}+149^{52k+26}+149^{50k+25}+149^{48k+24}\\||+149^{46k+23}+149^{44k+22}+149^{42k+21}+149^{40k+20}+149^{38k+19}\\||+149^{36k+18}+149^{34k+17}+149^{32k+16}+149^{30k+15}+149^{28k+14}\\||+149^{26k+13}+149^{24k+12}+149^{22k+11}+149^{20k+10}+149^{18k+9}\\||+149^{16k+8}+149^{14k+7}+149^{12k+6}+149^{10k+5}+149^{8k+4}\\||+149^{6k+3}+149^{4k+2}+149^{2k+1}+1\\|=|(149^{148k+74}-149^{147k+74}+75\cdot 149^{146k+73}-25\cdot 149^{145k+73}+913\cdot 149^{144k+72}\\||-173\cdot 149^{143k+72}+3865\cdot 149^{142k+71}-461\cdot 149^{141k+71}+6455\cdot 149^{140k+70}-471\cdot 149^{139k+70}\\||+4245\cdot 149^{138k+69}-343\cdot 149^{137k+69}+7877\cdot 149^{136k+68}-1251\cdot 149^{135k+68}+22821\cdot 149^{134k+67}\\||-2083\cdot 149^{133k+67}+20659\cdot 149^{132k+66}-963\cdot 149^{131k+66}+6093\cdot 149^{130k+65}-789\cdot 149^{129k+65}\\||+21709\cdot 149^{128k+64}-2855\cdot 149^{127k+64}+40099\cdot 149^{126k+63}-2761\cdot 149^{125k+63}+19797\cdot 149^{124k+62}\\||-589\cdot 149^{123k+62}+3041\cdot 149^{122k+61}-687\cdot 149^{121k+61}+18455\cdot 149^{120k+60}-2191\cdot 149^{119k+60}\\||+29139\cdot 149^{118k+59}-2059\cdot 149^{117k+59}+16341\cdot 149^{116k+58}-401\cdot 149^{115k+58}-6345\cdot 149^{114k+57}\\||+1053\cdot 149^{113k+57}-9633\cdot 149^{112k+56}-379\cdot 149^{111k+56}+23773\cdot 149^{110k+55}-2929\cdot 149^{109k+55}\\||+30543\cdot 149^{108k+54}-737\cdot 149^{107k+54}-15427\cdot 149^{106k+53}+2057\cdot 149^{105k+53}-11199\cdot 149^{104k+52}\\||-1577\cdot 149^{103k+52}+47961\cdot 149^{102k+51}-4785\cdot 149^{101k+51}+47027\cdot 149^{100k+50}-2007\cdot 149^{99k+50}\\||+7117\cdot 149^{98k+49}-455\cdot 149^{97k+49}+19201\cdot 149^{96k+48}-3189\cdot 149^{95k+48}+54553\cdot 149^{94k+47}\\||-4979\cdot 149^{93k+47}+57977\cdot 149^{92k+46}-4039\cdot 149^{91k+46}+38021\cdot 149^{90k+45}-2243\cdot 149^{89k+45}\\||+21417\cdot 149^{88k+44}-1949\cdot 149^{87k+44}+34359\cdot 149^{86k+43}-3855\cdot 149^{85k+43}+52659\cdot 149^{84k+42}\\||-3729\cdot 149^{83k+42}+28651\cdot 149^{82k+41}-991\cdot 149^{81k+41}+5299\cdot 149^{80k+40}-811\cdot 149^{79k+40}\\||+19125\cdot 149^{78k+39}-1971\cdot 149^{77k+39}+21113\cdot 149^{76k+38}-1173\cdot 149^{75k+38}+10891\cdot 149^{74k+37}\\||-1173\cdot 149^{73k+37}+21113\cdot 149^{72k+36}-1971\cdot 149^{71k+36}+19125\cdot 149^{70k+35}-811\cdot 149^{69k+35}\\||+5299\cdot 149^{68k+34}-991\cdot 149^{67k+34}+28651\cdot 149^{66k+33}-3729\cdot 149^{65k+33}+52659\cdot 149^{64k+32}\\||-3855\cdot 149^{63k+32}+34359\cdot 149^{62k+31}-1949\cdot 149^{61k+31}+21417\cdot 149^{60k+30}-2243\cdot 149^{59k+30}\\||+38021\cdot 149^{58k+29}-4039\cdot 149^{57k+29}+57977\cdot 149^{56k+28}-4979\cdot 149^{55k+28}+54553\cdot 149^{54k+27}\\||-3189\cdot 149^{53k+27}+19201\cdot 149^{52k+26}-455\cdot 149^{51k+26}+7117\cdot 149^{50k+25}-2007\cdot 149^{49k+25}\\||+47027\cdot 149^{48k+24}-4785\cdot 149^{47k+24}+47961\cdot 149^{46k+23}-1577\cdot 149^{45k+23}-11199\cdot 149^{44k+22}\\||+2057\cdot 149^{43k+22}-15427\cdot 149^{42k+21}-737\cdot 149^{41k+21}+30543\cdot 149^{40k+20}-2929\cdot 149^{39k+20}\\||+23773\cdot 149^{38k+19}-379\cdot 149^{37k+19}-9633\cdot 149^{36k+18}+1053\cdot 149^{35k+18}-6345\cdot 149^{34k+17}\\||-401\cdot 149^{33k+17}+16341\cdot 149^{32k+16}-2059\cdot 149^{31k+16}+29139\cdot 149^{30k+15}-2191\cdot 149^{29k+15}\\||+18455\cdot 149^{28k+14}-687\cdot 149^{27k+14}+3041\cdot 149^{26k+13}-589\cdot 149^{25k+13}+19797\cdot 149^{24k+12}\\||-2761\cdot 149^{23k+12}+40099\cdot 149^{22k+11}-2855\cdot 149^{21k+11}+21709\cdot 149^{20k+10}-789\cdot 149^{19k+10}\\||+6093\cdot 149^{18k+9}-963\cdot 149^{17k+9}+20659\cdot 149^{16k+8}-2083\cdot 149^{15k+8}+22821\cdot 149^{14k+7}\\||-1251\cdot 149^{13k+7}+7877\cdot 149^{12k+6}-343\cdot 149^{11k+6}+4245\cdot 149^{10k+5}-471\cdot 149^{9k+5}\\||+6455\cdot 149^{8k+4}-461\cdot 149^{7k+4}+3865\cdot 149^{6k+3}-173\cdot 149^{5k+3}+913\cdot 149^{4k+2}\\||-25\cdot 149^{3k+2}+75\cdot 149^{2k+1}-149^{k+1}+1)\\|\times|(149^{148k+74}+149^{147k+74}+75\cdot 149^{146k+73}+25\cdot 149^{145k+73}+913\cdot 149^{144k+72}\\||+173\cdot 149^{143k+72}+3865\cdot 149^{142k+71}+461\cdot 149^{141k+71}+6455\cdot 149^{140k+70}+471\cdot 149^{139k+70}\\||+4245\cdot 149^{138k+69}+343\cdot 149^{137k+69}+7877\cdot 149^{136k+68}+1251\cdot 149^{135k+68}+22821\cdot 149^{134k+67}\\||+2083\cdot 149^{133k+67}+20659\cdot 149^{132k+66}+963\cdot 149^{131k+66}+6093\cdot 149^{130k+65}+789\cdot 149^{129k+65}\\||+21709\cdot 149^{128k+64}+2855\cdot 149^{127k+64}+40099\cdot 149^{126k+63}+2761\cdot 149^{125k+63}+19797\cdot 149^{124k+62}\\||+589\cdot 149^{123k+62}+3041\cdot 149^{122k+61}+687\cdot 149^{121k+61}+18455\cdot 149^{120k+60}+2191\cdot 149^{119k+60}\\||+29139\cdot 149^{118k+59}+2059\cdot 149^{117k+59}+16341\cdot 149^{116k+58}+401\cdot 149^{115k+58}-6345\cdot 149^{114k+57}\\||-1053\cdot 149^{113k+57}-9633\cdot 149^{112k+56}+379\cdot 149^{111k+56}+23773\cdot 149^{110k+55}+2929\cdot 149^{109k+55}\\||+30543\cdot 149^{108k+54}+737\cdot 149^{107k+54}-15427\cdot 149^{106k+53}-2057\cdot 149^{105k+53}-11199\cdot 149^{104k+52}\\||+1577\cdot 149^{103k+52}+47961\cdot 149^{102k+51}+4785\cdot 149^{101k+51}+47027\cdot 149^{100k+50}+2007\cdot 149^{99k+50}\\||+7117\cdot 149^{98k+49}+455\cdot 149^{97k+49}+19201\cdot 149^{96k+48}+3189\cdot 149^{95k+48}+54553\cdot 149^{94k+47}\\||+4979\cdot 149^{93k+47}+57977\cdot 149^{92k+46}+4039\cdot 149^{91k+46}+38021\cdot 149^{90k+45}+2243\cdot 149^{89k+45}\\||+21417\cdot 149^{88k+44}+1949\cdot 149^{87k+44}+34359\cdot 149^{86k+43}+3855\cdot 149^{85k+43}+52659\cdot 149^{84k+42}\\||+3729\cdot 149^{83k+42}+28651\cdot 149^{82k+41}+991\cdot 149^{81k+41}+5299\cdot 149^{80k+40}+811\cdot 149^{79k+40}\\||+19125\cdot 149^{78k+39}+1971\cdot 149^{77k+39}+21113\cdot 149^{76k+38}+1173\cdot 149^{75k+38}+10891\cdot 149^{74k+37}\\||+1173\cdot 149^{73k+37}+21113\cdot 149^{72k+36}+1971\cdot 149^{71k+36}+19125\cdot 149^{70k+35}+811\cdot 149^{69k+35}\\||+5299\cdot 149^{68k+34}+991\cdot 149^{67k+34}+28651\cdot 149^{66k+33}+3729\cdot 149^{65k+33}+52659\cdot 149^{64k+32}\\||+3855\cdot 149^{63k+32}+34359\cdot 149^{62k+31}+1949\cdot 149^{61k+31}+21417\cdot 149^{60k+30}+2243\cdot 149^{59k+30}\\||+38021\cdot 149^{58k+29}+4039\cdot 149^{57k+29}+57977\cdot 149^{56k+28}+4979\cdot 149^{55k+28}+54553\cdot 149^{54k+27}\\||+3189\cdot 149^{53k+27}+19201\cdot 149^{52k+26}+455\cdot 149^{51k+26}+7117\cdot 149^{50k+25}+2007\cdot 149^{49k+25}\\||+47027\cdot 149^{48k+24}+4785\cdot 149^{47k+24}+47961\cdot 149^{46k+23}+1577\cdot 149^{45k+23}-11199\cdot 149^{44k+22}\\||-2057\cdot 149^{43k+22}-15427\cdot 149^{42k+21}+737\cdot 149^{41k+21}+30543\cdot 149^{40k+20}+2929\cdot 149^{39k+20}\\||+23773\cdot 149^{38k+19}+379\cdot 149^{37k+19}-9633\cdot 149^{36k+18}-1053\cdot 149^{35k+18}-6345\cdot 149^{34k+17}\\||+401\cdot 149^{33k+17}+16341\cdot 149^{32k+16}+2059\cdot 149^{31k+16}+29139\cdot 149^{30k+15}+2191\cdot 149^{29k+15}\\||+18455\cdot 149^{28k+14}+687\cdot 149^{27k+14}+3041\cdot 149^{26k+13}+589\cdot 149^{25k+13}+19797\cdot 149^{24k+12}\\||+2761\cdot 149^{23k+12}+40099\cdot 149^{22k+11}+2855\cdot 149^{21k+11}+21709\cdot 149^{20k+10}+789\cdot 149^{19k+10}\\||+6093\cdot 149^{18k+9}+963\cdot 149^{17k+9}+20659\cdot 149^{16k+8}+2083\cdot 149^{15k+8}+22821\cdot 149^{14k+7}\\||+1251\cdot 149^{13k+7}+7877\cdot 149^{12k+6}+343\cdot 149^{11k+6}+4245\cdot 149^{10k+5}+471\cdot 149^{9k+5}\\||+6455\cdot 149^{8k+4}+461\cdot 149^{7k+4}+3865\cdot 149^{6k+3}+173\cdot 149^{5k+3}+913\cdot 149^{4k+2}\\||+25\cdot 149^{3k+2}+75\cdot 149^{2k+1}+149^{k+1}+1)\end{eqnarray}%%
Φ302(1512k+1)⋯Φ310(1552k+1)Φ302(1512k+1)⋯Φ310(1552k+1)
%%\begin{eqnarray}{\large\Phi}_{302}(151^{2k+1})|=|151^{300k+150}-151^{298k+149}+151^{296k+148}-151^{294k+147}+151^{292k+146}\\||-151^{290k+145}+151^{288k+144}-151^{286k+143}+151^{284k+142}-151^{282k+141}\\||+151^{280k+140}-151^{278k+139}+151^{276k+138}-151^{274k+137}+151^{272k+136}\\||-151^{270k+135}+151^{268k+134}-151^{266k+133}+151^{264k+132}-151^{262k+131}\\||+151^{260k+130}-151^{258k+129}+151^{256k+128}-151^{254k+127}+151^{252k+126}\\||-151^{250k+125}+151^{248k+124}-151^{246k+123}+151^{244k+122}-151^{242k+121}\\||+151^{240k+120}-151^{238k+119}+151^{236k+118}-151^{234k+117}+151^{232k+116}\\||-151^{230k+115}+151^{228k+114}-151^{226k+113}+151^{224k+112}-151^{222k+111}\\||+151^{220k+110}-151^{218k+109}+151^{216k+108}-151^{214k+107}+151^{212k+106}\\||-151^{210k+105}+151^{208k+104}-151^{206k+103}+151^{204k+102}-151^{202k+101}\\||+151^{200k+100}-151^{198k+99}+151^{196k+98}-151^{194k+97}+151^{192k+96}\\||-151^{190k+95}+151^{188k+94}-151^{186k+93}+151^{184k+92}-151^{182k+91}\\||+151^{180k+90}-151^{178k+89}+151^{176k+88}-151^{174k+87}+151^{172k+86}\\||-151^{170k+85}+151^{168k+84}-151^{166k+83}+151^{164k+82}-151^{162k+81}\\||+151^{160k+80}-151^{158k+79}+151^{156k+78}-151^{154k+77}+151^{152k+76}\\||-151^{150k+75}+151^{148k+74}-151^{146k+73}+151^{144k+72}-151^{142k+71}\\||+151^{140k+70}-151^{138k+69}+151^{136k+68}-151^{134k+67}+151^{132k+66}\\||-151^{130k+65}+151^{128k+64}-151^{126k+63}+151^{124k+62}-151^{122k+61}\\||+151^{120k+60}-151^{118k+59}+151^{116k+58}-151^{114k+57}+151^{112k+56}\\||-151^{110k+55}+151^{108k+54}-151^{106k+53}+151^{104k+52}-151^{102k+51}\\||+151^{100k+50}-151^{98k+49}+151^{96k+48}-151^{94k+47}+151^{92k+46}\\||-151^{90k+45}+151^{88k+44}-151^{86k+43}+151^{84k+42}-151^{82k+41}\\||+151^{80k+40}-151^{78k+39}+151^{76k+38}-151^{74k+37}+151^{72k+36}\\||-151^{70k+35}+151^{68k+34}-151^{66k+33}+151^{64k+32}-151^{62k+31}\\||+151^{60k+30}-151^{58k+29}+151^{56k+28}-151^{54k+27}+151^{52k+26}\\||-151^{50k+25}+151^{48k+24}-151^{46k+23}+151^{44k+22}-151^{42k+21}\\||+151^{40k+20}-151^{38k+19}+151^{36k+18}-151^{34k+17}+151^{32k+16}\\||-151^{30k+15}+151^{28k+14}-151^{26k+13}+151^{24k+12}-151^{22k+11}\\||+151^{20k+10}-151^{18k+9}+151^{16k+8}-151^{14k+7}+151^{12k+6}\\||-151^{10k+5}+151^{8k+4}-151^{6k+3}+151^{4k+2}-151^{2k+1}+1\\|=|(151^{150k+75}-151^{149k+75}+75\cdot 151^{148k+74}-25\cdot 151^{147k+74}+963\cdot 151^{146k+73}\\||-203\cdot 151^{145k+73}+5615\cdot 151^{144k+72}-925\cdot 151^{143k+72}+21191\cdot 151^{142k+71}-3011\cdot 151^{141k+71}\\||+61245\cdot 151^{140k+70}-7893\cdot 151^{139k+70}+147973\cdot 151^{138k+69}-17791\cdot 151^{137k+69}+314011\cdot 151^{136k+68}\\||-35789\cdot 151^{135k+68}+601979\cdot 151^{134k+67}-65663\cdot 151^{133k+67}+1060813\cdot 151^{132k+66}-111485\cdot 151^{131k+66}\\||+1740103\cdot 151^{130k+65}-177119\cdot 151^{129k+65}+2683393\cdot 151^{128k+64}-265623\cdot 151^{127k+64}+3920163\cdot 151^{126k+63}\\||-378575\cdot 151^{125k+63}+5458147\cdot 151^{124k+62}-515581\cdot 151^{123k+62}+7279769\cdot 151^{122k+61}-674221\cdot 151^{121k+61}\\||+9344281\cdot 151^{120k+60}-850409\cdot 151^{119k+60}+11593887\cdot 151^{118k+59}-1039009\cdot 151^{117k+59}+13962915\cdot 151^{116k+58}\\||-1234729\cdot 151^{115k+58}+16390403\cdot 151^{114k+57}-1433207\cdot 151^{113k+57}+18832893\cdot 151^{112k+56}-1631893\cdot 151^{111k+56}\\||+21272247\cdot 151^{110k+55}-1830405\cdot 151^{109k+55}+23716775\cdot 151^{108k+54}-2030391\cdot 151^{107k+54}+26196933\cdot 151^{106k+53}\\||-2234957\cdot 151^{105k+53}+28755337\cdot 151^{104k+52}-2447617\cdot 151^{103k+52}+31431557\cdot 151^{102k+51}-2670969\cdot 151^{101k+51}\\||+34246343\cdot 151^{100k+50}-2905561\cdot 151^{99k+50}+37190305\cdot 151^{98k+49}-3149207\cdot 151^{97k+49}+40218599\cdot 151^{96k+48}\\||-3396831\cdot 151^{95k+48}+43252851\cdot 151^{94k+47}-3640969\cdot 151^{93k+47}+46191639\cdot 151^{92k+46}-3872927\cdot 151^{91k+46}\\||+48927227\cdot 151^{90k+45}-4084221\cdot 151^{89k+45}+51362931\cdot 151^{88k+44}-4267901\cdot 151^{87k+44}+53427867\cdot 151^{86k+43}\\||-4419589\cdot 151^{85k+43}+55086933\cdot 151^{84k+42}-4537979\cdot 151^{83k+42}+56342085\cdot 151^{82k+41}-4624505\cdot 151^{81k+41}\\||+57223357\cdot 151^{80k+40}-4682319\cdot 151^{79k+40}+57774333\cdot 151^{78k+39}-4715051\cdot 151^{77k+39}+58036881\cdot 151^{76k+38}\\||-4725591\cdot 151^{75k+38}+58036881\cdot 151^{74k+37}-4715051\cdot 151^{73k+37}+57774333\cdot 151^{72k+36}-4682319\cdot 151^{71k+36}\\||+57223357\cdot 151^{70k+35}-4624505\cdot 151^{69k+35}+56342085\cdot 151^{68k+34}-4537979\cdot 151^{67k+34}+55086933\cdot 151^{66k+33}\\||-4419589\cdot 151^{65k+33}+53427867\cdot 151^{64k+32}-4267901\cdot 151^{63k+32}+51362931\cdot 151^{62k+31}-4084221\cdot 151^{61k+31}\\||+48927227\cdot 151^{60k+30}-3872927\cdot 151^{59k+30}+46191639\cdot 151^{58k+29}-3640969\cdot 151^{57k+29}+43252851\cdot 151^{56k+28}\\||-3396831\cdot 151^{55k+28}+40218599\cdot 151^{54k+27}-3149207\cdot 151^{53k+27}+37190305\cdot 151^{52k+26}-2905561\cdot 151^{51k+26}\\||+34246343\cdot 151^{50k+25}-2670969\cdot 151^{49k+25}+31431557\cdot 151^{48k+24}-2447617\cdot 151^{47k+24}+28755337\cdot 151^{46k+23}\\||-2234957\cdot 151^{45k+23}+26196933\cdot 151^{44k+22}-2030391\cdot 151^{43k+22}+23716775\cdot 151^{42k+21}-1830405\cdot 151^{41k+21}\\||+21272247\cdot 151^{40k+20}-1631893\cdot 151^{39k+20}+18832893\cdot 151^{38k+19}-1433207\cdot 151^{37k+19}+16390403\cdot 151^{36k+18}\\||-1234729\cdot 151^{35k+18}+13962915\cdot 151^{34k+17}-1039009\cdot 151^{33k+17}+11593887\cdot 151^{32k+16}-850409\cdot 151^{31k+16}\\||+9344281\cdot 151^{30k+15}-674221\cdot 151^{29k+15}+7279769\cdot 151^{28k+14}-515581\cdot 151^{27k+14}+5458147\cdot 151^{26k+13}\\||-378575\cdot 151^{25k+13}+3920163\cdot 151^{24k+12}-265623\cdot 151^{23k+12}+2683393\cdot 151^{22k+11}-177119\cdot 151^{21k+11}\\||+1740103\cdot 151^{20k+10}-111485\cdot 151^{19k+10}+1060813\cdot 151^{18k+9}-65663\cdot 151^{17k+9}+601979\cdot 151^{16k+8}\\||-35789\cdot 151^{15k+8}+314011\cdot 151^{14k+7}-17791\cdot 151^{13k+7}+147973\cdot 151^{12k+6}-7893\cdot 151^{11k+6}\\||+61245\cdot 151^{10k+5}-3011\cdot 151^{9k+5}+21191\cdot 151^{8k+4}-925\cdot 151^{7k+4}+5615\cdot 151^{6k+3}\\||-203\cdot 151^{5k+3}+963\cdot 151^{4k+2}-25\cdot 151^{3k+2}+75\cdot 151^{2k+1}-151^{k+1}+1)\\|\times|(151^{150k+75}+151^{149k+75}+75\cdot 151^{148k+74}+25\cdot 151^{147k+74}+963\cdot 151^{146k+73}\\||+203\cdot 151^{145k+73}+5615\cdot 151^{144k+72}+925\cdot 151^{143k+72}+21191\cdot 151^{142k+71}+3011\cdot 151^{141k+71}\\||+61245\cdot 151^{140k+70}+7893\cdot 151^{139k+70}+147973\cdot 151^{138k+69}+17791\cdot 151^{137k+69}+314011\cdot 151^{136k+68}\\||+35789\cdot 151^{135k+68}+601979\cdot 151^{134k+67}+65663\cdot 151^{133k+67}+1060813\cdot 151^{132k+66}+111485\cdot 151^{131k+66}\\||+1740103\cdot 151^{130k+65}+177119\cdot 151^{129k+65}+2683393\cdot 151^{128k+64}+265623\cdot 151^{127k+64}+3920163\cdot 151^{126k+63}\\||+378575\cdot 151^{125k+63}+5458147\cdot 151^{124k+62}+515581\cdot 151^{123k+62}+7279769\cdot 151^{122k+61}+674221\cdot 151^{121k+61}\\||+9344281\cdot 151^{120k+60}+850409\cdot 151^{119k+60}+11593887\cdot 151^{118k+59}+1039009\cdot 151^{117k+59}+13962915\cdot 151^{116k+58}\\||+1234729\cdot 151^{115k+58}+16390403\cdot 151^{114k+57}+1433207\cdot 151^{113k+57}+18832893\cdot 151^{112k+56}+1631893\cdot 151^{111k+56}\\||+21272247\cdot 151^{110k+55}+1830405\cdot 151^{109k+55}+23716775\cdot 151^{108k+54}+2030391\cdot 151^{107k+54}+26196933\cdot 151^{106k+53}\\||+2234957\cdot 151^{105k+53}+28755337\cdot 151^{104k+52}+2447617\cdot 151^{103k+52}+31431557\cdot 151^{102k+51}+2670969\cdot 151^{101k+51}\\||+34246343\cdot 151^{100k+50}+2905561\cdot 151^{99k+50}+37190305\cdot 151^{98k+49}+3149207\cdot 151^{97k+49}+40218599\cdot 151^{96k+48}\\||+3396831\cdot 151^{95k+48}+43252851\cdot 151^{94k+47}+3640969\cdot 151^{93k+47}+46191639\cdot 151^{92k+46}+3872927\cdot 151^{91k+46}\\||+48927227\cdot 151^{90k+45}+4084221\cdot 151^{89k+45}+51362931\cdot 151^{88k+44}+4267901\cdot 151^{87k+44}+53427867\cdot 151^{86k+43}\\||+4419589\cdot 151^{85k+43}+55086933\cdot 151^{84k+42}+4537979\cdot 151^{83k+42}+56342085\cdot 151^{82k+41}+4624505\cdot 151^{81k+41}\\||+57223357\cdot 151^{80k+40}+4682319\cdot 151^{79k+40}+57774333\cdot 151^{78k+39}+4715051\cdot 151^{77k+39}+58036881\cdot 151^{76k+38}\\||+4725591\cdot 151^{75k+38}+58036881\cdot 151^{74k+37}+4715051\cdot 151^{73k+37}+57774333\cdot 151^{72k+36}+4682319\cdot 151^{71k+36}\\||+57223357\cdot 151^{70k+35}+4624505\cdot 151^{69k+35}+56342085\cdot 151^{68k+34}+4537979\cdot 151^{67k+34}+55086933\cdot 151^{66k+33}\\||+4419589\cdot 151^{65k+33}+53427867\cdot 151^{64k+32}+4267901\cdot 151^{63k+32}+51362931\cdot 151^{62k+31}+4084221\cdot 151^{61k+31}\\||+48927227\cdot 151^{60k+30}+3872927\cdot 151^{59k+30}+46191639\cdot 151^{58k+29}+3640969\cdot 151^{57k+29}+43252851\cdot 151^{56k+28}\\||+3396831\cdot 151^{55k+28}+40218599\cdot 151^{54k+27}+3149207\cdot 151^{53k+27}+37190305\cdot 151^{52k+26}+2905561\cdot 151^{51k+26}\\||+34246343\cdot 151^{50k+25}+2670969\cdot 151^{49k+25}+31431557\cdot 151^{48k+24}+2447617\cdot 151^{47k+24}+28755337\cdot 151^{46k+23}\\||+2234957\cdot 151^{45k+23}+26196933\cdot 151^{44k+22}+2030391\cdot 151^{43k+22}+23716775\cdot 151^{42k+21}+1830405\cdot 151^{41k+21}\\||+21272247\cdot 151^{40k+20}+1631893\cdot 151^{39k+20}+18832893\cdot 151^{38k+19}+1433207\cdot 151^{37k+19}+16390403\cdot 151^{36k+18}\\||+1234729\cdot 151^{35k+18}+13962915\cdot 151^{34k+17}+1039009\cdot 151^{33k+17}+11593887\cdot 151^{32k+16}+850409\cdot 151^{31k+16}\\||+9344281\cdot 151^{30k+15}+674221\cdot 151^{29k+15}+7279769\cdot 151^{28k+14}+515581\cdot 151^{27k+14}+5458147\cdot 151^{26k+13}\\||+378575\cdot 151^{25k+13}+3920163\cdot 151^{24k+12}+265623\cdot 151^{23k+12}+2683393\cdot 151^{22k+11}+177119\cdot 151^{21k+11}\\||+1740103\cdot 151^{20k+10}+111485\cdot 151^{19k+10}+1060813\cdot 151^{18k+9}+65663\cdot 151^{17k+9}+601979\cdot 151^{16k+8}\\||+35789\cdot 151^{15k+8}+314011\cdot 151^{14k+7}+17791\cdot 151^{13k+7}+147973\cdot 151^{12k+6}+7893\cdot 151^{11k+6}\\||+61245\cdot 151^{10k+5}+3011\cdot 151^{9k+5}+21191\cdot 151^{8k+4}+925\cdot 151^{7k+4}+5615\cdot 151^{6k+3}\\||+203\cdot 151^{5k+3}+963\cdot 151^{4k+2}+25\cdot 151^{3k+2}+75\cdot 151^{2k+1}+151^{k+1}+1)\\{\large\Phi}_{308}(154^{2k+1})|=|154^{240k+120}+154^{236k+118}-154^{212k+106}-154^{208k+104}-154^{196k+98}\\||-154^{192k+96}+154^{184k+92}+154^{180k+90}+154^{168k+84}+154^{164k+82}\\||-154^{156k+78}+154^{148k+74}-154^{140k+70}-154^{136k+68}+154^{128k+64}\\||-154^{120k+60}+154^{112k+56}-154^{104k+52}-154^{100k+50}+154^{92k+46}\\||-154^{84k+42}+154^{76k+38}+154^{72k+36}+154^{60k+30}+154^{56k+28}\\||-154^{48k+24}-154^{44k+22}-154^{32k+16}-154^{28k+14}+154^{4k+2}+1\\|=|(154^{120k+60}-154^{119k+60}+77\cdot 154^{118k+59}-26\cdot 154^{117k+59}+1040\cdot 154^{116k+58}\\||-224\cdot 154^{115k+58}+6468\cdot 154^{114k+57}-1091\cdot 154^{113k+57}+26074\cdot 154^{112k+56}-3781\cdot 154^{111k+56}\\||+79772\cdot 154^{110k+55}-10411\cdot 154^{109k+55}+200638\cdot 154^{108k+54}-24203\cdot 154^{107k+54}+435281\cdot 154^{106k+53}\\||-49385\cdot 154^{105k+53}+840701\cdot 154^{104k+52}-90766\cdot 154^{103k+52}+1477014\cdot 154^{102k+51}-153026\cdot 154^{101k+51}\\||+2397654\cdot 154^{100k+50}-239886\cdot 154^{99k+50}+3639097\cdot 154^{98k+49}-353337\cdot 154^{97k+49}+5212725\cdot 154^{96k+48}\\||-493141\cdot 154^{95k+48}+7100786\cdot 154^{94k+47}-656685\cdot 154^{93k+47}+9256967\cdot 154^{92k+46}-839238\cdot 154^{91k+46}\\||+11612293\cdot 154^{90k+45}-1034627\cdot 154^{89k+45}+14085508\cdot 154^{88k+44}-1236186\cdot 154^{87k+44}+16595656\cdot 154^{86k+43}\\||-1437781\cdot 154^{85k+43}+19074119\cdot 154^{84k+42}-1634656\cdot 154^{83k+42}+21472913\cdot 154^{82k+41}-1823893\cdot 154^{81k+41}\\||+23767558\cdot 154^{80k+40}-2004393\cdot 154^{79k+40}+25953543\cdot 154^{78k+39}-2176335\cdot 154^{77k+39}+28036962\cdot 154^{76k+38}\\||-2340273\cdot 154^{75k+38}+30022377\cdot 154^{74k+37}-2496158\cdot 154^{73k+37}+31901630\cdot 154^{72k+36}-2642586\cdot 154^{71k+36}\\||+33647075\cdot 154^{70k+35}-2776490\cdot 154^{69k+35}+35210781\cdot 154^{68k+34}-2893314\cdot 154^{67k+34}+36529570\cdot 154^{66k+33}\\||-2987640\cdot 154^{65k+33}+37535147\cdot 154^{64k+32}-3054135\cdot 154^{63k+32}+38166590\cdot 154^{62k+31}-3088552\cdot 154^{61k+31}\\||+38382015\cdot 154^{60k+30}-3088552\cdot 154^{59k+30}+38166590\cdot 154^{58k+29}-3054135\cdot 154^{57k+29}+37535147\cdot 154^{56k+28}\\||-2987640\cdot 154^{55k+28}+36529570\cdot 154^{54k+27}-2893314\cdot 154^{53k+27}+35210781\cdot 154^{52k+26}-2776490\cdot 154^{51k+26}\\||+33647075\cdot 154^{50k+25}-2642586\cdot 154^{49k+25}+31901630\cdot 154^{48k+24}-2496158\cdot 154^{47k+24}+30022377\cdot 154^{46k+23}\\||-2340273\cdot 154^{45k+23}+28036962\cdot 154^{44k+22}-2176335\cdot 154^{43k+22}+25953543\cdot 154^{42k+21}-2004393\cdot 154^{41k+21}\\||+23767558\cdot 154^{40k+20}-1823893\cdot 154^{39k+20}+21472913\cdot 154^{38k+19}-1634656\cdot 154^{37k+19}+19074119\cdot 154^{36k+18}\\||-1437781\cdot 154^{35k+18}+16595656\cdot 154^{34k+17}-1236186\cdot 154^{33k+17}+14085508\cdot 154^{32k+16}-1034627\cdot 154^{31k+16}\\||+11612293\cdot 154^{30k+15}-839238\cdot 154^{29k+15}+9256967\cdot 154^{28k+14}-656685\cdot 154^{27k+14}+7100786\cdot 154^{26k+13}\\||-493141\cdot 154^{25k+13}+5212725\cdot 154^{24k+12}-353337\cdot 154^{23k+12}+3639097\cdot 154^{22k+11}-239886\cdot 154^{21k+11}\\||+2397654\cdot 154^{20k+10}-153026\cdot 154^{19k+10}+1477014\cdot 154^{18k+9}-90766\cdot 154^{17k+9}+840701\cdot 154^{16k+8}\\||-49385\cdot 154^{15k+8}+435281\cdot 154^{14k+7}-24203\cdot 154^{13k+7}+200638\cdot 154^{12k+6}-10411\cdot 154^{11k+6}\\||+79772\cdot 154^{10k+5}-3781\cdot 154^{9k+5}+26074\cdot 154^{8k+4}-1091\cdot 154^{7k+4}+6468\cdot 154^{6k+3}\\||-224\cdot 154^{5k+3}+1040\cdot 154^{4k+2}-26\cdot 154^{3k+2}+77\cdot 154^{2k+1}-154^{k+1}+1)\\|\times|(154^{120k+60}+154^{119k+60}+77\cdot 154^{118k+59}+26\cdot 154^{117k+59}+1040\cdot 154^{116k+58}\\||+224\cdot 154^{115k+58}+6468\cdot 154^{114k+57}+1091\cdot 154^{113k+57}+26074\cdot 154^{112k+56}+3781\cdot 154^{111k+56}\\||+79772\cdot 154^{110k+55}+10411\cdot 154^{109k+55}+200638\cdot 154^{108k+54}+24203\cdot 154^{107k+54}+435281\cdot 154^{106k+53}\\||+49385\cdot 154^{105k+53}+840701\cdot 154^{104k+52}+90766\cdot 154^{103k+52}+1477014\cdot 154^{102k+51}+153026\cdot 154^{101k+51}\\||+2397654\cdot 154^{100k+50}+239886\cdot 154^{99k+50}+3639097\cdot 154^{98k+49}+353337\cdot 154^{97k+49}+5212725\cdot 154^{96k+48}\\||+493141\cdot 154^{95k+48}+7100786\cdot 154^{94k+47}+656685\cdot 154^{93k+47}+9256967\cdot 154^{92k+46}+839238\cdot 154^{91k+46}\\||+11612293\cdot 154^{90k+45}+1034627\cdot 154^{89k+45}+14085508\cdot 154^{88k+44}+1236186\cdot 154^{87k+44}+16595656\cdot 154^{86k+43}\\||+1437781\cdot 154^{85k+43}+19074119\cdot 154^{84k+42}+1634656\cdot 154^{83k+42}+21472913\cdot 154^{82k+41}+1823893\cdot 154^{81k+41}\\||+23767558\cdot 154^{80k+40}+2004393\cdot 154^{79k+40}+25953543\cdot 154^{78k+39}+2176335\cdot 154^{77k+39}+28036962\cdot 154^{76k+38}\\||+2340273\cdot 154^{75k+38}+30022377\cdot 154^{74k+37}+2496158\cdot 154^{73k+37}+31901630\cdot 154^{72k+36}+2642586\cdot 154^{71k+36}\\||+33647075\cdot 154^{70k+35}+2776490\cdot 154^{69k+35}+35210781\cdot 154^{68k+34}+2893314\cdot 154^{67k+34}+36529570\cdot 154^{66k+33}\\||+2987640\cdot 154^{65k+33}+37535147\cdot 154^{64k+32}+3054135\cdot 154^{63k+32}+38166590\cdot 154^{62k+31}+3088552\cdot 154^{61k+31}\\||+38382015\cdot 154^{60k+30}+3088552\cdot 154^{59k+30}+38166590\cdot 154^{58k+29}+3054135\cdot 154^{57k+29}+37535147\cdot 154^{56k+28}\\||+2987640\cdot 154^{55k+28}+36529570\cdot 154^{54k+27}+2893314\cdot 154^{53k+27}+35210781\cdot 154^{52k+26}+2776490\cdot 154^{51k+26}\\||+33647075\cdot 154^{50k+25}+2642586\cdot 154^{49k+25}+31901630\cdot 154^{48k+24}+2496158\cdot 154^{47k+24}+30022377\cdot 154^{46k+23}\\||+2340273\cdot 154^{45k+23}+28036962\cdot 154^{44k+22}+2176335\cdot 154^{43k+22}+25953543\cdot 154^{42k+21}+2004393\cdot 154^{41k+21}\\||+23767558\cdot 154^{40k+20}+1823893\cdot 154^{39k+20}+21472913\cdot 154^{38k+19}+1634656\cdot 154^{37k+19}+19074119\cdot 154^{36k+18}\\||+1437781\cdot 154^{35k+18}+16595656\cdot 154^{34k+17}+1236186\cdot 154^{33k+17}+14085508\cdot 154^{32k+16}+1034627\cdot 154^{31k+16}\\||+11612293\cdot 154^{30k+15}+839238\cdot 154^{29k+15}+9256967\cdot 154^{28k+14}+656685\cdot 154^{27k+14}+7100786\cdot 154^{26k+13}\\||+493141\cdot 154^{25k+13}+5212725\cdot 154^{24k+12}+353337\cdot 154^{23k+12}+3639097\cdot 154^{22k+11}+239886\cdot 154^{21k+11}\\||+2397654\cdot 154^{20k+10}+153026\cdot 154^{19k+10}+1477014\cdot 154^{18k+9}+90766\cdot 154^{17k+9}+840701\cdot 154^{16k+8}\\||+49385\cdot 154^{15k+8}+435281\cdot 154^{14k+7}+24203\cdot 154^{13k+7}+200638\cdot 154^{12k+6}+10411\cdot 154^{11k+6}\\||+79772\cdot 154^{10k+5}+3781\cdot 154^{9k+5}+26074\cdot 154^{8k+4}+1091\cdot 154^{7k+4}+6468\cdot 154^{6k+3}\\||+224\cdot 154^{5k+3}+1040\cdot 154^{4k+2}+26\cdot 154^{3k+2}+77\cdot 154^{2k+1}+154^{k+1}+1)\\{\large\Phi}_{310}(155^{2k+1})|=|155^{240k+120}+155^{238k+119}-155^{230k+115}-155^{228k+114}+155^{220k+110}\\||+155^{218k+109}-155^{210k+105}-155^{208k+104}+155^{200k+100}+155^{198k+99}\\||-155^{190k+95}-155^{188k+94}+155^{180k+90}-155^{176k+88}-155^{170k+85}\\||+155^{166k+83}+155^{160k+80}-155^{156k+78}-155^{150k+75}+155^{146k+73}\\||+155^{140k+70}-155^{136k+68}-155^{130k+65}+155^{126k+63}+155^{120k+60}\\||+155^{114k+57}-155^{110k+55}-155^{104k+52}+155^{100k+50}+155^{94k+47}\\||-155^{90k+45}-155^{84k+42}+155^{80k+40}+155^{74k+37}-155^{70k+35}\\||-155^{64k+32}+155^{60k+30}-155^{52k+26}-155^{50k+25}+155^{42k+21}\\||+155^{40k+20}-155^{32k+16}-155^{30k+15}+155^{22k+11}+155^{20k+10}\\||-155^{12k+6}-155^{10k+5}+155^{2k+1}+1\\|=|(155^{120k+60}-155^{119k+60}+78\cdot 155^{118k+59}-26\cdot 155^{117k+59}+988\cdot 155^{116k+58}\\||-187\cdot 155^{115k+58}+4311\cdot 155^{114k+57}-498\cdot 155^{113k+57}+6470\cdot 155^{112k+56}-286\cdot 155^{111k+56}\\||-2561\cdot 155^{110k+55}+729\cdot 155^{109k+55}-10848\cdot 155^{108k+54}+286\cdot 155^{107k+54}+12062\cdot 155^{106k+53}\\||-2281\cdot 155^{105k+53}+34259\cdot 155^{104k+52}-1812\cdot 155^{103k+52}-2800\cdot 155^{102k+51}+2164\cdot 155^{101k+51}\\||-32759\cdot 155^{100k+50}+1065\cdot 155^{99k+50}+21698\cdot 155^{98k+49}-4052\cdot 155^{97k+49}+53898\cdot 155^{96k+48}\\||-2341\cdot 155^{95k+48}-7959\cdot 155^{94k+47}+2692\cdot 155^{93k+47}-31810\cdot 155^{92k+46}+426\cdot 155^{91k+46}\\||+28299\cdot 155^{90k+45}-3914\cdot 155^{89k+45}+45827\cdot 155^{88k+44}-1916\cdot 155^{87k+44}-3648\cdot 155^{86k+43}\\||+1841\cdot 155^{85k+43}-26466\cdot 155^{84k+42}+1161\cdot 155^{83k+42}+7110\cdot 155^{82k+41}-2314\cdot 155^{81k+41}\\||+40381\cdot 155^{80k+40}-2774\cdot 155^{79k+40}+11613\cdot 155^{78k+39}+1464\cdot 155^{77k+39}-38872\cdot 155^{76k+38}\\||+3031\cdot 155^{75k+38}-14904\cdot 155^{74k+37}-1239\cdot 155^{73k+37}+33630\cdot 155^{72k+36}-2242\cdot 155^{71k+36}\\||+2379\cdot 155^{70k+35}+2104\cdot 155^{69k+35}-40343\cdot 155^{68k+34}+2692\cdot 155^{67k+34}-13068\cdot 155^{66k+33}\\||-513\cdot 155^{65k+33}+13214\cdot 155^{64k+32}-409\cdot 155^{63k+32}-11610\cdot 155^{62k+31}+2170\cdot 155^{61k+31}\\||-33139\cdot 155^{60k+30}+2170\cdot 155^{59k+30}-11610\cdot 155^{58k+29}-409\cdot 155^{57k+29}+13214\cdot 155^{56k+28}\\||-513\cdot 155^{55k+28}-13068\cdot 155^{54k+27}+2692\cdot 155^{53k+27}-40343\cdot 155^{52k+26}+2104\cdot 155^{51k+26}\\||+2379\cdot 155^{50k+25}-2242\cdot 155^{49k+25}+33630\cdot 155^{48k+24}-1239\cdot 155^{47k+24}-14904\cdot 155^{46k+23}\\||+3031\cdot 155^{45k+23}-38872\cdot 155^{44k+22}+1464\cdot 155^{43k+22}+11613\cdot 155^{42k+21}-2774\cdot 155^{41k+21}\\||+40381\cdot 155^{40k+20}-2314\cdot 155^{39k+20}+7110\cdot 155^{38k+19}+1161\cdot 155^{37k+19}-26466\cdot 155^{36k+18}\\||+1841\cdot 155^{35k+18}-3648\cdot 155^{34k+17}-1916\cdot 155^{33k+17}+45827\cdot 155^{32k+16}-3914\cdot 155^{31k+16}\\||+28299\cdot 155^{30k+15}+426\cdot 155^{29k+15}-31810\cdot 155^{28k+14}+2692\cdot 155^{27k+14}-7959\cdot 155^{26k+13}\\||-2341\cdot 155^{25k+13}+53898\cdot 155^{24k+12}-4052\cdot 155^{23k+12}+21698\cdot 155^{22k+11}+1065\cdot 155^{21k+11}\\||-32759\cdot 155^{20k+10}+2164\cdot 155^{19k+10}-2800\cdot 155^{18k+9}-1812\cdot 155^{17k+9}+34259\cdot 155^{16k+8}\\||-2281\cdot 155^{15k+8}+12062\cdot 155^{14k+7}+286\cdot 155^{13k+7}-10848\cdot 155^{12k+6}+729\cdot 155^{11k+6}\\||-2561\cdot 155^{10k+5}-286\cdot 155^{9k+5}+6470\cdot 155^{8k+4}-498\cdot 155^{7k+4}+4311\cdot 155^{6k+3}\\||-187\cdot 155^{5k+3}+988\cdot 155^{4k+2}-26\cdot 155^{3k+2}+78\cdot 155^{2k+1}-155^{k+1}+1)\\|\times|(155^{120k+60}+155^{119k+60}+78\cdot 155^{118k+59}+26\cdot 155^{117k+59}+988\cdot 155^{116k+58}\\||+187\cdot 155^{115k+58}+4311\cdot 155^{114k+57}+498\cdot 155^{113k+57}+6470\cdot 155^{112k+56}+286\cdot 155^{111k+56}\\||-2561\cdot 155^{110k+55}-729\cdot 155^{109k+55}-10848\cdot 155^{108k+54}-286\cdot 155^{107k+54}+12062\cdot 155^{106k+53}\\||+2281\cdot 155^{105k+53}+34259\cdot 155^{104k+52}+1812\cdot 155^{103k+52}-2800\cdot 155^{102k+51}-2164\cdot 155^{101k+51}\\||-32759\cdot 155^{100k+50}-1065\cdot 155^{99k+50}+21698\cdot 155^{98k+49}+4052\cdot 155^{97k+49}+53898\cdot 155^{96k+48}\\||+2341\cdot 155^{95k+48}-7959\cdot 155^{94k+47}-2692\cdot 155^{93k+47}-31810\cdot 155^{92k+46}-426\cdot 155^{91k+46}\\||+28299\cdot 155^{90k+45}+3914\cdot 155^{89k+45}+45827\cdot 155^{88k+44}+1916\cdot 155^{87k+44}-3648\cdot 155^{86k+43}\\||-1841\cdot 155^{85k+43}-26466\cdot 155^{84k+42}-1161\cdot 155^{83k+42}+7110\cdot 155^{82k+41}+2314\cdot 155^{81k+41}\\||+40381\cdot 155^{80k+40}+2774\cdot 155^{79k+40}+11613\cdot 155^{78k+39}-1464\cdot 155^{77k+39}-38872\cdot 155^{76k+38}\\||-3031\cdot 155^{75k+38}-14904\cdot 155^{74k+37}+1239\cdot 155^{73k+37}+33630\cdot 155^{72k+36}+2242\cdot 155^{71k+36}\\||+2379\cdot 155^{70k+35}-2104\cdot 155^{69k+35}-40343\cdot 155^{68k+34}-2692\cdot 155^{67k+34}-13068\cdot 155^{66k+33}\\||+513\cdot 155^{65k+33}+13214\cdot 155^{64k+32}+409\cdot 155^{63k+32}-11610\cdot 155^{62k+31}-2170\cdot 155^{61k+31}\\||-33139\cdot 155^{60k+30}-2170\cdot 155^{59k+30}-11610\cdot 155^{58k+29}+409\cdot 155^{57k+29}+13214\cdot 155^{56k+28}\\||+513\cdot 155^{55k+28}-13068\cdot 155^{54k+27}-2692\cdot 155^{53k+27}-40343\cdot 155^{52k+26}-2104\cdot 155^{51k+26}\\||+2379\cdot 155^{50k+25}+2242\cdot 155^{49k+25}+33630\cdot 155^{48k+24}+1239\cdot 155^{47k+24}-14904\cdot 155^{46k+23}\\||-3031\cdot 155^{45k+23}-38872\cdot 155^{44k+22}-1464\cdot 155^{43k+22}+11613\cdot 155^{42k+21}+2774\cdot 155^{41k+21}\\||+40381\cdot 155^{40k+20}+2314\cdot 155^{39k+20}+7110\cdot 155^{38k+19}-1161\cdot 155^{37k+19}-26466\cdot 155^{36k+18}\\||-1841\cdot 155^{35k+18}-3648\cdot 155^{34k+17}+1916\cdot 155^{33k+17}+45827\cdot 155^{32k+16}+3914\cdot 155^{31k+16}\\||+28299\cdot 155^{30k+15}-426\cdot 155^{29k+15}-31810\cdot 155^{28k+14}-2692\cdot 155^{27k+14}-7959\cdot 155^{26k+13}\\||+2341\cdot 155^{25k+13}+53898\cdot 155^{24k+12}+4052\cdot 155^{23k+12}+21698\cdot 155^{22k+11}-1065\cdot 155^{21k+11}\\||-32759\cdot 155^{20k+10}-2164\cdot 155^{19k+10}-2800\cdot 155^{18k+9}+1812\cdot 155^{17k+9}+34259\cdot 155^{16k+8}\\||+2281\cdot 155^{15k+8}+12062\cdot 155^{14k+7}-286\cdot 155^{13k+7}-10848\cdot 155^{12k+6}-729\cdot 155^{11k+6}\\||-2561\cdot 155^{10k+5}+286\cdot 155^{9k+5}+6470\cdot 155^{8k+4}+498\cdot 155^{7k+4}+4311\cdot 155^{6k+3}\\||+187\cdot 155^{5k+3}+988\cdot 155^{4k+2}+26\cdot 155^{3k+2}+78\cdot 155^{2k+1}+155^{k+1}+1)\end{eqnarray}%%
Φ157(1572k+1)⋯Φ318(1592k+1)Φ157(1572k+1)⋯Φ318(1592k+1)
%%\begin{eqnarray}{\large\Phi}_{157}(157^{2k+1})|=|157^{312k+156}+157^{310k+155}+157^{308k+154}+157^{306k+153}+157^{304k+152}\\||+157^{302k+151}+157^{300k+150}+157^{298k+149}+157^{296k+148}+157^{294k+147}\\||+157^{292k+146}+157^{290k+145}+157^{288k+144}+157^{286k+143}+157^{284k+142}\\||+157^{282k+141}+157^{280k+140}+157^{278k+139}+157^{276k+138}+157^{274k+137}\\||+157^{272k+136}+157^{270k+135}+157^{268k+134}+157^{266k+133}+157^{264k+132}\\||+157^{262k+131}+157^{260k+130}+157^{258k+129}+157^{256k+128}+157^{254k+127}\\||+157^{252k+126}+157^{250k+125}+157^{248k+124}+157^{246k+123}+157^{244k+122}\\||+157^{242k+121}+157^{240k+120}+157^{238k+119}+157^{236k+118}+157^{234k+117}\\||+157^{232k+116}+157^{230k+115}+157^{228k+114}+157^{226k+113}+157^{224k+112}\\||+157^{222k+111}+157^{220k+110}+157^{218k+109}+157^{216k+108}+157^{214k+107}\\||+157^{212k+106}+157^{210k+105}+157^{208k+104}+157^{206k+103}+157^{204k+102}\\||+157^{202k+101}+157^{200k+100}+157^{198k+99}+157^{196k+98}+157^{194k+97}\\||+157^{192k+96}+157^{190k+95}+157^{188k+94}+157^{186k+93}+157^{184k+92}\\||+157^{182k+91}+157^{180k+90}+157^{178k+89}+157^{176k+88}+157^{174k+87}\\||+157^{172k+86}+157^{170k+85}+157^{168k+84}+157^{166k+83}+157^{164k+82}\\||+157^{162k+81}+157^{160k+80}+157^{158k+79}+157^{156k+78}+157^{154k+77}\\||+157^{152k+76}+157^{150k+75}+157^{148k+74}+157^{146k+73}+157^{144k+72}\\||+157^{142k+71}+157^{140k+70}+157^{138k+69}+157^{136k+68}+157^{134k+67}\\||+157^{132k+66}+157^{130k+65}+157^{128k+64}+157^{126k+63}+157^{124k+62}\\||+157^{122k+61}+157^{120k+60}+157^{118k+59}+157^{116k+58}+157^{114k+57}\\||+157^{112k+56}+157^{110k+55}+157^{108k+54}+157^{106k+53}+157^{104k+52}\\||+157^{102k+51}+157^{100k+50}+157^{98k+49}+157^{96k+48}+157^{94k+47}\\||+157^{92k+46}+157^{90k+45}+157^{88k+44}+157^{86k+43}+157^{84k+42}\\||+157^{82k+41}+157^{80k+40}+157^{78k+39}+157^{76k+38}+157^{74k+37}\\||+157^{72k+36}+157^{70k+35}+157^{68k+34}+157^{66k+33}+157^{64k+32}\\||+157^{62k+31}+157^{60k+30}+157^{58k+29}+157^{56k+28}+157^{54k+27}\\||+157^{52k+26}+157^{50k+25}+157^{48k+24}+157^{46k+23}+157^{44k+22}\\||+157^{42k+21}+157^{40k+20}+157^{38k+19}+157^{36k+18}+157^{34k+17}\\||+157^{32k+16}+157^{30k+15}+157^{28k+14}+157^{26k+13}+157^{24k+12}\\||+157^{22k+11}+157^{20k+10}+157^{18k+9}+157^{16k+8}+157^{14k+7}\\||+157^{12k+6}+157^{10k+5}+157^{8k+4}+157^{6k+3}+157^{4k+2}\\||+157^{2k+1}+1\\|=|(157^{156k+78}-157^{155k+78}+79\cdot 157^{154k+77}-27\cdot 157^{153k+77}+1119\cdot 157^{152k+76}\\||-245\cdot 157^{151k+76}+7291\cdot 157^{150k+75}-1229\cdot 157^{149k+75}+29439\cdot 157^{148k+74}-4115\cdot 157^{147k+74}\\||+83439\cdot 157^{146k+73}-10015\cdot 157^{145k+73}+176063\cdot 157^{144k+72}-18431\cdot 157^{143k+72}+283379\cdot 157^{142k+71}\\||-25941\cdot 157^{141k+71}+347769\cdot 157^{140k+70}-27613\cdot 157^{139k+70}+319107\cdot 157^{138k+69}-21799\cdot 157^{137k+69}\\||+220813\cdot 157^{136k+68}-14335\cdot 157^{135k+68}+167965\cdot 157^{134k+67}-15975\cdot 157^{133k+67}+281549\cdot 157^{132k+66}\\||-32345\cdot 157^{131k+66}+552191\cdot 157^{130k+65}-55399\cdot 157^{129k+65}+800553\cdot 157^{128k+64}-67551\cdot 157^{127k+64}\\||+819759\cdot 157^{126k+63}-57955\cdot 157^{125k+63}+588761\cdot 157^{124k+62}-35373\cdot 157^{123k+62}+329115\cdot 157^{122k+61}\\||-22315\cdot 157^{121k+61}+312607\cdot 157^{120k+60}-33987\cdot 157^{119k+60}+597421\cdot 157^{118k+59}-63169\cdot 157^{117k+59}\\||+967893\cdot 157^{116k+58}-87179\cdot 157^{115k+58}+1145079\cdot 157^{114k+57}-89785\cdot 157^{113k+57}+1048929\cdot 157^{112k+56}\\||-75511\cdot 157^{111k+56}+850235\cdot 157^{110k+55}-63079\cdot 157^{109k+55}+784555\cdot 157^{108k+54}-66723\cdot 157^{107k+54}\\||+933761\cdot 157^{106k+53}-84285\cdot 157^{105k+53}+1176729\cdot 157^{104k+52}-101463\cdot 157^{103k+52}+1323233\cdot 157^{102k+51}\\||-105931\cdot 157^{101k+51}+1291095\cdot 157^{100k+50}-98407\cdot 157^{99k+50}+1178151\cdot 157^{98k+49}-91925\cdot 157^{97k+49}\\||+1172967\cdot 157^{96k+48}-99621\cdot 157^{95k+48}+1368771\cdot 157^{94k+47}-120569\cdot 157^{93k+47}+1640265\cdot 157^{92k+46}\\||-137427\cdot 157^{91k+46}+1728845\cdot 157^{90k+45}-131797\cdot 157^{89k+45}+1502537\cdot 157^{88k+44}-105067\cdot 157^{87k+44}\\||+1141461\cdot 157^{86k+43}-81985\cdot 157^{85k+43}+1011331\cdot 157^{84k+42}-88357\cdot 157^{83k+42}+1298627\cdot 157^{82k+41}\\||-123155\cdot 157^{81k+41}+1781591\cdot 157^{80k+40}-155973\cdot 157^{79k+40}+2017315\cdot 157^{78k+39}-155973\cdot 157^{77k+39}\\||+1781591\cdot 157^{76k+38}-123155\cdot 157^{75k+38}+1298627\cdot 157^{74k+37}-88357\cdot 157^{73k+37}+1011331\cdot 157^{72k+36}\\||-81985\cdot 157^{71k+36}+1141461\cdot 157^{70k+35}-105067\cdot 157^{69k+35}+1502537\cdot 157^{68k+34}-131797\cdot 157^{67k+34}\\||+1728845\cdot 157^{66k+33}-137427\cdot 157^{65k+33}+1640265\cdot 157^{64k+32}-120569\cdot 157^{63k+32}+1368771\cdot 157^{62k+31}\\||-99621\cdot 157^{61k+31}+1172967\cdot 157^{60k+30}-91925\cdot 157^{59k+30}+1178151\cdot 157^{58k+29}-98407\cdot 157^{57k+29}\\||+1291095\cdot 157^{56k+28}-105931\cdot 157^{55k+28}+1323233\cdot 157^{54k+27}-101463\cdot 157^{53k+27}+1176729\cdot 157^{52k+26}\\||-84285\cdot 157^{51k+26}+933761\cdot 157^{50k+25}-66723\cdot 157^{49k+25}+784555\cdot 157^{48k+24}-63079\cdot 157^{47k+24}\\||+850235\cdot 157^{46k+23}-75511\cdot 157^{45k+23}+1048929\cdot 157^{44k+22}-89785\cdot 157^{43k+22}+1145079\cdot 157^{42k+21}\\||-87179\cdot 157^{41k+21}+967893\cdot 157^{40k+20}-63169\cdot 157^{39k+20}+597421\cdot 157^{38k+19}-33987\cdot 157^{37k+19}\\||+312607\cdot 157^{36k+18}-22315\cdot 157^{35k+18}+329115\cdot 157^{34k+17}-35373\cdot 157^{33k+17}+588761\cdot 157^{32k+16}\\||-57955\cdot 157^{31k+16}+819759\cdot 157^{30k+15}-67551\cdot 157^{29k+15}+800553\cdot 157^{28k+14}-55399\cdot 157^{27k+14}\\||+552191\cdot 157^{26k+13}-32345\cdot 157^{25k+13}+281549\cdot 157^{24k+12}-15975\cdot 157^{23k+12}+167965\cdot 157^{22k+11}\\||-14335\cdot 157^{21k+11}+220813\cdot 157^{20k+10}-21799\cdot 157^{19k+10}+319107\cdot 157^{18k+9}-27613\cdot 157^{17k+9}\\||+347769\cdot 157^{16k+8}-25941\cdot 157^{15k+8}+283379\cdot 157^{14k+7}-18431\cdot 157^{13k+7}+176063\cdot 157^{12k+6}\\||-10015\cdot 157^{11k+6}+83439\cdot 157^{10k+5}-4115\cdot 157^{9k+5}+29439\cdot 157^{8k+4}-1229\cdot 157^{7k+4}\\||+7291\cdot 157^{6k+3}-245\cdot 157^{5k+3}+1119\cdot 157^{4k+2}-27\cdot 157^{3k+2}+79\cdot 157^{2k+1}\\||-157^{k+1}+1)\\|\times|(157^{156k+78}+157^{155k+78}+79\cdot 157^{154k+77}+27\cdot 157^{153k+77}+1119\cdot 157^{152k+76}\\||+245\cdot 157^{151k+76}+7291\cdot 157^{150k+75}+1229\cdot 157^{149k+75}+29439\cdot 157^{148k+74}+4115\cdot 157^{147k+74}\\||+83439\cdot 157^{146k+73}+10015\cdot 157^{145k+73}+176063\cdot 157^{144k+72}+18431\cdot 157^{143k+72}+283379\cdot 157^{142k+71}\\||+25941\cdot 157^{141k+71}+347769\cdot 157^{140k+70}+27613\cdot 157^{139k+70}+319107\cdot 157^{138k+69}+21799\cdot 157^{137k+69}\\||+220813\cdot 157^{136k+68}+14335\cdot 157^{135k+68}+167965\cdot 157^{134k+67}+15975\cdot 157^{133k+67}+281549\cdot 157^{132k+66}\\||+32345\cdot 157^{131k+66}+552191\cdot 157^{130k+65}+55399\cdot 157^{129k+65}+800553\cdot 157^{128k+64}+67551\cdot 157^{127k+64}\\||+819759\cdot 157^{126k+63}+57955\cdot 157^{125k+63}+588761\cdot 157^{124k+62}+35373\cdot 157^{123k+62}+329115\cdot 157^{122k+61}\\||+22315\cdot 157^{121k+61}+312607\cdot 157^{120k+60}+33987\cdot 157^{119k+60}+597421\cdot 157^{118k+59}+63169\cdot 157^{117k+59}\\||+967893\cdot 157^{116k+58}+87179\cdot 157^{115k+58}+1145079\cdot 157^{114k+57}+89785\cdot 157^{113k+57}+1048929\cdot 157^{112k+56}\\||+75511\cdot 157^{111k+56}+850235\cdot 157^{110k+55}+63079\cdot 157^{109k+55}+784555\cdot 157^{108k+54}+66723\cdot 157^{107k+54}\\||+933761\cdot 157^{106k+53}+84285\cdot 157^{105k+53}+1176729\cdot 157^{104k+52}+101463\cdot 157^{103k+52}+1323233\cdot 157^{102k+51}\\||+105931\cdot 157^{101k+51}+1291095\cdot 157^{100k+50}+98407\cdot 157^{99k+50}+1178151\cdot 157^{98k+49}+91925\cdot 157^{97k+49}\\||+1172967\cdot 157^{96k+48}+99621\cdot 157^{95k+48}+1368771\cdot 157^{94k+47}+120569\cdot 157^{93k+47}+1640265\cdot 157^{92k+46}\\||+137427\cdot 157^{91k+46}+1728845\cdot 157^{90k+45}+131797\cdot 157^{89k+45}+1502537\cdot 157^{88k+44}+105067\cdot 157^{87k+44}\\||+1141461\cdot 157^{86k+43}+81985\cdot 157^{85k+43}+1011331\cdot 157^{84k+42}+88357\cdot 157^{83k+42}+1298627\cdot 157^{82k+41}\\||+123155\cdot 157^{81k+41}+1781591\cdot 157^{80k+40}+155973\cdot 157^{79k+40}+2017315\cdot 157^{78k+39}+155973\cdot 157^{77k+39}\\||+1781591\cdot 157^{76k+38}+123155\cdot 157^{75k+38}+1298627\cdot 157^{74k+37}+88357\cdot 157^{73k+37}+1011331\cdot 157^{72k+36}\\||+81985\cdot 157^{71k+36}+1141461\cdot 157^{70k+35}+105067\cdot 157^{69k+35}+1502537\cdot 157^{68k+34}+131797\cdot 157^{67k+34}\\||+1728845\cdot 157^{66k+33}+137427\cdot 157^{65k+33}+1640265\cdot 157^{64k+32}+120569\cdot 157^{63k+32}+1368771\cdot 157^{62k+31}\\||+99621\cdot 157^{61k+31}+1172967\cdot 157^{60k+30}+91925\cdot 157^{59k+30}+1178151\cdot 157^{58k+29}+98407\cdot 157^{57k+29}\\||+1291095\cdot 157^{56k+28}+105931\cdot 157^{55k+28}+1323233\cdot 157^{54k+27}+101463\cdot 157^{53k+27}+1176729\cdot 157^{52k+26}\\||+84285\cdot 157^{51k+26}+933761\cdot 157^{50k+25}+66723\cdot 157^{49k+25}+784555\cdot 157^{48k+24}+63079\cdot 157^{47k+24}\\||+850235\cdot 157^{46k+23}+75511\cdot 157^{45k+23}+1048929\cdot 157^{44k+22}+89785\cdot 157^{43k+22}+1145079\cdot 157^{42k+21}\\||+87179\cdot 157^{41k+21}+967893\cdot 157^{40k+20}+63169\cdot 157^{39k+20}+597421\cdot 157^{38k+19}+33987\cdot 157^{37k+19}\\||+312607\cdot 157^{36k+18}+22315\cdot 157^{35k+18}+329115\cdot 157^{34k+17}+35373\cdot 157^{33k+17}+588761\cdot 157^{32k+16}\\||+57955\cdot 157^{31k+16}+819759\cdot 157^{30k+15}+67551\cdot 157^{29k+15}+800553\cdot 157^{28k+14}+55399\cdot 157^{27k+14}\\||+552191\cdot 157^{26k+13}+32345\cdot 157^{25k+13}+281549\cdot 157^{24k+12}+15975\cdot 157^{23k+12}+167965\cdot 157^{22k+11}\\||+14335\cdot 157^{21k+11}+220813\cdot 157^{20k+10}+21799\cdot 157^{19k+10}+319107\cdot 157^{18k+9}+27613\cdot 157^{17k+9}\\||+347769\cdot 157^{16k+8}+25941\cdot 157^{15k+8}+283379\cdot 157^{14k+7}+18431\cdot 157^{13k+7}+176063\cdot 157^{12k+6}\\||+10015\cdot 157^{11k+6}+83439\cdot 157^{10k+5}+4115\cdot 157^{9k+5}+29439\cdot 157^{8k+4}+1229\cdot 157^{7k+4}\\||+7291\cdot 157^{6k+3}+245\cdot 157^{5k+3}+1119\cdot 157^{4k+2}+27\cdot 157^{3k+2}+79\cdot 157^{2k+1}\\||+157^{k+1}+1)\\{\large\Phi}_{316}(158^{2k+1})|=|158^{312k+156}-158^{308k+154}+158^{304k+152}-158^{300k+150}+158^{296k+148}\\||-158^{292k+146}+158^{288k+144}-158^{284k+142}+158^{280k+140}-158^{276k+138}\\||+158^{272k+136}-158^{268k+134}+158^{264k+132}-158^{260k+130}+158^{256k+128}\\||-158^{252k+126}+158^{248k+124}-158^{244k+122}+158^{240k+120}-158^{236k+118}\\||+158^{232k+116}-158^{228k+114}+158^{224k+112}-158^{220k+110}+158^{216k+108}\\||-158^{212k+106}+158^{208k+104}-158^{204k+102}+158^{200k+100}-158^{196k+98}\\||+158^{192k+96}-158^{188k+94}+158^{184k+92}-158^{180k+90}+158^{176k+88}\\||-158^{172k+86}+158^{168k+84}-158^{164k+82}+158^{160k+80}-158^{156k+78}\\||+158^{152k+76}-158^{148k+74}+158^{144k+72}-158^{140k+70}+158^{136k+68}\\||-158^{132k+66}+158^{128k+64}-158^{124k+62}+158^{120k+60}-158^{116k+58}\\||+158^{112k+56}-158^{108k+54}+158^{104k+52}-158^{100k+50}+158^{96k+48}\\||-158^{92k+46}+158^{88k+44}-158^{84k+42}+158^{80k+40}-158^{76k+38}\\||+158^{72k+36}-158^{68k+34}+158^{64k+32}-158^{60k+30}+158^{56k+28}\\||-158^{52k+26}+158^{48k+24}-158^{44k+22}+158^{40k+20}-158^{36k+18}\\||+158^{32k+16}-158^{28k+14}+158^{24k+12}-158^{20k+10}+158^{16k+8}\\||-158^{12k+6}+158^{8k+4}-158^{4k+2}+1\\|=|(158^{156k+78}-158^{155k+78}+79\cdot 158^{154k+77}-26\cdot 158^{153k+77}+987\cdot 158^{152k+76}\\||-181\cdot 158^{151k+76}+4029\cdot 158^{150k+75}-416\cdot 158^{149k+75}+3901\cdot 158^{148k+74}+155\cdot 158^{147k+74}\\||-12245\cdot 158^{146k+73}+1808\cdot 158^{145k+73}-24989\cdot 158^{144k+72}+837\cdot 158^{143k+72}+22041\cdot 158^{142k+71}\\||-4834\cdot 158^{141k+71}+81461\cdot 158^{140k+70}-4717\cdot 158^{139k+70}-12877\cdot 158^{138k+69}+8784\cdot 158^{137k+69}\\||-179957\cdot 158^{136k+68}+13093\cdot 158^{135k+68}-41475\cdot 158^{134k+67}-11936\cdot 158^{133k+67}+313237\cdot 158^{132k+66}\\||-26949\cdot 158^{131k+66}+171035\cdot 158^{130k+65}+11238\cdot 158^{129k+65}-448609\cdot 158^{128k+64}+45221\cdot 158^{127k+64}\\||-389075\cdot 158^{126k+63}-3776\cdot 158^{125k+63}+540093\cdot 158^{124k+62}-65067\cdot 158^{123k+62}+686747\cdot 158^{122k+61}\\||-12328\cdot 158^{121k+61}-540437\cdot 158^{120k+60}+82435\cdot 158^{119k+60}-1032135\cdot 158^{118k+59}+37284\cdot 158^{117k+59}\\||+411201\cdot 158^{116k+58}-92563\cdot 158^{115k+58}+1368675\cdot 158^{114k+57}-68832\cdot 158^{113k+57}-138701\cdot 158^{112k+56}\\||+91341\cdot 158^{111k+56}-1628427\cdot 158^{110k+55}+102722\cdot 158^{109k+55}-264807\cdot 158^{108k+54}-75663\cdot 158^{107k+54}\\||+1733339\cdot 158^{106k+53}-132106\cdot 158^{105k+53}+742359\cdot 158^{104k+52}+45605\cdot 158^{103k+52}-1624635\cdot 158^{102k+51}\\||+149352\cdot 158^{101k+51}-1201067\cdot 158^{100k+50}-5059\cdot 158^{99k+50}+1283355\cdot 158^{98k+49}-147864\cdot 158^{97k+49}\\||+1525203\cdot 158^{96k+48}-37845\cdot 158^{95k+48}-755319\cdot 158^{94k+47}+125116\cdot 158^{93k+47}-1615783\cdot 158^{92k+46}\\||+72971\cdot 158^{91k+46}+144491\cdot 158^{90k+45}-84064\cdot 158^{89k+45}+1426843\cdot 158^{88k+44}-91501\cdot 158^{87k+44}\\||+419253\cdot 158^{86k+43}+32208\cdot 158^{85k+43}-976595\cdot 158^{84k+42}+88131\cdot 158^{83k+42}-811409\cdot 158^{82k+41}\\||+20058\cdot 158^{81k+41}+347595\cdot 158^{80k+40}-62939\cdot 158^{79k+40}+952977\cdot 158^{78k+39}-62939\cdot 158^{77k+39}\\||+347595\cdot 158^{76k+38}+20058\cdot 158^{75k+38}-811409\cdot 158^{74k+37}+88131\cdot 158^{73k+37}-976595\cdot 158^{72k+36}\\||+32208\cdot 158^{71k+36}+419253\cdot 158^{70k+35}-91501\cdot 158^{69k+35}+1426843\cdot 158^{68k+34}-84064\cdot 158^{67k+34}\\||+144491\cdot 158^{66k+33}+72971\cdot 158^{65k+33}-1615783\cdot 158^{64k+32}+125116\cdot 158^{63k+32}-755319\cdot 158^{62k+31}\\||-37845\cdot 158^{61k+31}+1525203\cdot 158^{60k+30}-147864\cdot 158^{59k+30}+1283355\cdot 158^{58k+29}-5059\cdot 158^{57k+29}\\||-1201067\cdot 158^{56k+28}+149352\cdot 158^{55k+28}-1624635\cdot 158^{54k+27}+45605\cdot 158^{53k+27}+742359\cdot 158^{52k+26}\\||-132106\cdot 158^{51k+26}+1733339\cdot 158^{50k+25}-75663\cdot 158^{49k+25}-264807\cdot 158^{48k+24}+102722\cdot 158^{47k+24}\\||-1628427\cdot 158^{46k+23}+91341\cdot 158^{45k+23}-138701\cdot 158^{44k+22}-68832\cdot 158^{43k+22}+1368675\cdot 158^{42k+21}\\||-92563\cdot 158^{41k+21}+411201\cdot 158^{40k+20}+37284\cdot 158^{39k+20}-1032135\cdot 158^{38k+19}+82435\cdot 158^{37k+19}\\||-540437\cdot 158^{36k+18}-12328\cdot 158^{35k+18}+686747\cdot 158^{34k+17}-65067\cdot 158^{33k+17}+540093\cdot 158^{32k+16}\\||-3776\cdot 158^{31k+16}-389075\cdot 158^{30k+15}+45221\cdot 158^{29k+15}-448609\cdot 158^{28k+14}+11238\cdot 158^{27k+14}\\||+171035\cdot 158^{26k+13}-26949\cdot 158^{25k+13}+313237\cdot 158^{24k+12}-11936\cdot 158^{23k+12}-41475\cdot 158^{22k+11}\\||+13093\cdot 158^{21k+11}-179957\cdot 158^{20k+10}+8784\cdot 158^{19k+10}-12877\cdot 158^{18k+9}-4717\cdot 158^{17k+9}\\||+81461\cdot 158^{16k+8}-4834\cdot 158^{15k+8}+22041\cdot 158^{14k+7}+837\cdot 158^{13k+7}-24989\cdot 158^{12k+6}\\||+1808\cdot 158^{11k+6}-12245\cdot 158^{10k+5}+155\cdot 158^{9k+5}+3901\cdot 158^{8k+4}-416\cdot 158^{7k+4}\\||+4029\cdot 158^{6k+3}-181\cdot 158^{5k+3}+987\cdot 158^{4k+2}-26\cdot 158^{3k+2}+79\cdot 158^{2k+1}\\||-158^{k+1}+1)\\|\times|(158^{156k+78}+158^{155k+78}+79\cdot 158^{154k+77}+26\cdot 158^{153k+77}+987\cdot 158^{152k+76}\\||+181\cdot 158^{151k+76}+4029\cdot 158^{150k+75}+416\cdot 158^{149k+75}+3901\cdot 158^{148k+74}-155\cdot 158^{147k+74}\\||-12245\cdot 158^{146k+73}-1808\cdot 158^{145k+73}-24989\cdot 158^{144k+72}-837\cdot 158^{143k+72}+22041\cdot 158^{142k+71}\\||+4834\cdot 158^{141k+71}+81461\cdot 158^{140k+70}+4717\cdot 158^{139k+70}-12877\cdot 158^{138k+69}-8784\cdot 158^{137k+69}\\||-179957\cdot 158^{136k+68}-13093\cdot 158^{135k+68}-41475\cdot 158^{134k+67}+11936\cdot 158^{133k+67}+313237\cdot 158^{132k+66}\\||+26949\cdot 158^{131k+66}+171035\cdot 158^{130k+65}-11238\cdot 158^{129k+65}-448609\cdot 158^{128k+64}-45221\cdot 158^{127k+64}\\||-389075\cdot 158^{126k+63}+3776\cdot 158^{125k+63}+540093\cdot 158^{124k+62}+65067\cdot 158^{123k+62}+686747\cdot 158^{122k+61}\\||+12328\cdot 158^{121k+61}-540437\cdot 158^{120k+60}-82435\cdot 158^{119k+60}-1032135\cdot 158^{118k+59}-37284\cdot 158^{117k+59}\\||+411201\cdot 158^{116k+58}+92563\cdot 158^{115k+58}+1368675\cdot 158^{114k+57}+68832\cdot 158^{113k+57}-138701\cdot 158^{112k+56}\\||-91341\cdot 158^{111k+56}-1628427\cdot 158^{110k+55}-102722\cdot 158^{109k+55}-264807\cdot 158^{108k+54}+75663\cdot 158^{107k+54}\\||+1733339\cdot 158^{106k+53}+132106\cdot 158^{105k+53}+742359\cdot 158^{104k+52}-45605\cdot 158^{103k+52}-1624635\cdot 158^{102k+51}\\||-149352\cdot 158^{101k+51}-1201067\cdot 158^{100k+50}+5059\cdot 158^{99k+50}+1283355\cdot 158^{98k+49}+147864\cdot 158^{97k+49}\\||+1525203\cdot 158^{96k+48}+37845\cdot 158^{95k+48}-755319\cdot 158^{94k+47}-125116\cdot 158^{93k+47}-1615783\cdot 158^{92k+46}\\||-72971\cdot 158^{91k+46}+144491\cdot 158^{90k+45}+84064\cdot 158^{89k+45}+1426843\cdot 158^{88k+44}+91501\cdot 158^{87k+44}\\||+419253\cdot 158^{86k+43}-32208\cdot 158^{85k+43}-976595\cdot 158^{84k+42}-88131\cdot 158^{83k+42}-811409\cdot 158^{82k+41}\\||-20058\cdot 158^{81k+41}+347595\cdot 158^{80k+40}+62939\cdot 158^{79k+40}+952977\cdot 158^{78k+39}+62939\cdot 158^{77k+39}\\||+347595\cdot 158^{76k+38}-20058\cdot 158^{75k+38}-811409\cdot 158^{74k+37}-88131\cdot 158^{73k+37}-976595\cdot 158^{72k+36}\\||-32208\cdot 158^{71k+36}+419253\cdot 158^{70k+35}+91501\cdot 158^{69k+35}+1426843\cdot 158^{68k+34}+84064\cdot 158^{67k+34}\\||+144491\cdot 158^{66k+33}-72971\cdot 158^{65k+33}-1615783\cdot 158^{64k+32}-125116\cdot 158^{63k+32}-755319\cdot 158^{62k+31}\\||+37845\cdot 158^{61k+31}+1525203\cdot 158^{60k+30}+147864\cdot 158^{59k+30}+1283355\cdot 158^{58k+29}+5059\cdot 158^{57k+29}\\||-1201067\cdot 158^{56k+28}-149352\cdot 158^{55k+28}-1624635\cdot 158^{54k+27}-45605\cdot 158^{53k+27}+742359\cdot 158^{52k+26}\\||+132106\cdot 158^{51k+26}+1733339\cdot 158^{50k+25}+75663\cdot 158^{49k+25}-264807\cdot 158^{48k+24}-102722\cdot 158^{47k+24}\\||-1628427\cdot 158^{46k+23}-91341\cdot 158^{45k+23}-138701\cdot 158^{44k+22}+68832\cdot 158^{43k+22}+1368675\cdot 158^{42k+21}\\||+92563\cdot 158^{41k+21}+411201\cdot 158^{40k+20}-37284\cdot 158^{39k+20}-1032135\cdot 158^{38k+19}-82435\cdot 158^{37k+19}\\||-540437\cdot 158^{36k+18}+12328\cdot 158^{35k+18}+686747\cdot 158^{34k+17}+65067\cdot 158^{33k+17}+540093\cdot 158^{32k+16}\\||+3776\cdot 158^{31k+16}-389075\cdot 158^{30k+15}-45221\cdot 158^{29k+15}-448609\cdot 158^{28k+14}-11238\cdot 158^{27k+14}\\||+171035\cdot 158^{26k+13}+26949\cdot 158^{25k+13}+313237\cdot 158^{24k+12}+11936\cdot 158^{23k+12}-41475\cdot 158^{22k+11}\\||-13093\cdot 158^{21k+11}-179957\cdot 158^{20k+10}-8784\cdot 158^{19k+10}-12877\cdot 158^{18k+9}+4717\cdot 158^{17k+9}\\||+81461\cdot 158^{16k+8}+4834\cdot 158^{15k+8}+22041\cdot 158^{14k+7}-837\cdot 158^{13k+7}-24989\cdot 158^{12k+6}\\||-1808\cdot 158^{11k+6}-12245\cdot 158^{10k+5}-155\cdot 158^{9k+5}+3901\cdot 158^{8k+4}+416\cdot 158^{7k+4}\\||+4029\cdot 158^{6k+3}+181\cdot 158^{5k+3}+987\cdot 158^{4k+2}+26\cdot 158^{3k+2}+79\cdot 158^{2k+1}\\||+158^{k+1}+1)\\{\large\Phi}_{318}(159^{2k+1})|=|159^{208k+104}+159^{206k+103}-159^{202k+101}-159^{200k+100}+159^{196k+98}\\||+159^{194k+97}-159^{190k+95}-159^{188k+94}+159^{184k+92}+159^{182k+91}\\||-159^{178k+89}-159^{176k+88}+159^{172k+86}+159^{170k+85}-159^{166k+83}\\||-159^{164k+82}+159^{160k+80}+159^{158k+79}-159^{154k+77}-159^{152k+76}\\||+159^{148k+74}+159^{146k+73}-159^{142k+71}-159^{140k+70}+159^{136k+68}\\||+159^{134k+67}-159^{130k+65}-159^{128k+64}+159^{124k+62}+159^{122k+61}\\||-159^{118k+59}-159^{116k+58}+159^{112k+56}+159^{110k+55}-159^{106k+53}\\||-159^{104k+52}-159^{102k+51}+159^{98k+49}+159^{96k+48}-159^{92k+46}\\||-159^{90k+45}+159^{86k+43}+159^{84k+42}-159^{80k+40}-159^{78k+39}\\||+159^{74k+37}+159^{72k+36}-159^{68k+34}-159^{66k+33}+159^{62k+31}\\||+159^{60k+30}-159^{56k+28}-159^{54k+27}+159^{50k+25}+159^{48k+24}\\||-159^{44k+22}-159^{42k+21}+159^{38k+19}+159^{36k+18}-159^{32k+16}\\||-159^{30k+15}+159^{26k+13}+159^{24k+12}-159^{20k+10}-159^{18k+9}\\||+159^{14k+7}+159^{12k+6}-159^{8k+4}-159^{6k+3}+159^{2k+1}+1\\|=|(159^{104k+52}-159^{103k+52}+80\cdot 159^{102k+51}-27\cdot 159^{101k+51}+1093\cdot 159^{100k+50}\\||-224\cdot 159^{99k+50}+6131\cdot 159^{98k+49}-915\cdot 159^{97k+49}+19312\cdot 159^{96k+48}-2329\cdot 159^{95k+48}\\||+41255\cdot 159^{94k+47}-4294\cdot 159^{93k+47}+66787\cdot 159^{92k+46}-6153\cdot 159^{91k+46}+84974\cdot 159^{90k+45}\\||-6977\cdot 159^{89k+45}+86653\cdot 159^{88k+44}-6512\cdot 159^{87k+44}+76187\cdot 159^{86k+43}-5633\cdot 159^{85k+43}\\||+68794\cdot 159^{84k+42}-5649\cdot 159^{83k+42}+79115\cdot 159^{82k+41}-7276\cdot 159^{81k+41}+106945\cdot 159^{80k+40}\\||-9645\cdot 159^{79k+40}+132596\cdot 159^{78k+39}-10891\cdot 159^{77k+39}+134437\cdot 159^{76k+38}-9846\cdot 159^{75k+38}\\||+108569\cdot 159^{74k+37}-7237\cdot 159^{73k+37}+76216\cdot 159^{72k+36}-5287\cdot 159^{71k+36}+64283\cdot 159^{70k+35}\\||-5478\cdot 159^{69k+35}+79507\cdot 159^{68k+34}-7345\cdot 159^{67k+34}+104396\cdot 159^{66k+33}-8787\cdot 159^{65k+33}\\||+109165\cdot 159^{64k+32}-7868\cdot 159^{63k+32}+83003\cdot 159^{62k+31}-5079\cdot 159^{61k+31}+46234\cdot 159^{60k+30}\\||-2627\cdot 159^{59k+30}+27347\cdot 159^{58k+29}-2376\cdot 159^{57k+29}+39925\cdot 159^{56k+28}-4297\cdot 159^{55k+28}\\||+68552\cdot 159^{54k+27}-6267\cdot 159^{53k+27}+82837\cdot 159^{52k+26}-6267\cdot 159^{51k+26}+68552\cdot 159^{50k+25}\\||-4297\cdot 159^{49k+25}+39925\cdot 159^{48k+24}-2376\cdot 159^{47k+24}+27347\cdot 159^{46k+23}-2627\cdot 159^{45k+23}\\||+46234\cdot 159^{44k+22}-5079\cdot 159^{43k+22}+83003\cdot 159^{42k+21}-7868\cdot 159^{41k+21}+109165\cdot 159^{40k+20}\\||-8787\cdot 159^{39k+20}+104396\cdot 159^{38k+19}-7345\cdot 159^{37k+19}+79507\cdot 159^{36k+18}-5478\cdot 159^{35k+18}\\||+64283\cdot 159^{34k+17}-5287\cdot 159^{33k+17}+76216\cdot 159^{32k+16}-7237\cdot 159^{31k+16}+108569\cdot 159^{30k+15}\\||-9846\cdot 159^{29k+15}+134437\cdot 159^{28k+14}-10891\cdot 159^{27k+14}+132596\cdot 159^{26k+13}-9645\cdot 159^{25k+13}\\||+106945\cdot 159^{24k+12}-7276\cdot 159^{23k+12}+79115\cdot 159^{22k+11}-5649\cdot 159^{21k+11}+68794\cdot 159^{20k+10}\\||-5633\cdot 159^{19k+10}+76187\cdot 159^{18k+9}-6512\cdot 159^{17k+9}+86653\cdot 159^{16k+8}-6977\cdot 159^{15k+8}\\||+84974\cdot 159^{14k+7}-6153\cdot 159^{13k+7}+66787\cdot 159^{12k+6}-4294\cdot 159^{11k+6}+41255\cdot 159^{10k+5}\\||-2329\cdot 159^{9k+5}+19312\cdot 159^{8k+4}-915\cdot 159^{7k+4}+6131\cdot 159^{6k+3}-224\cdot 159^{5k+3}\\||+1093\cdot 159^{4k+2}-27\cdot 159^{3k+2}+80\cdot 159^{2k+1}-159^{k+1}+1)\\|\times|(159^{104k+52}+159^{103k+52}+80\cdot 159^{102k+51}+27\cdot 159^{101k+51}+1093\cdot 159^{100k+50}\\||+224\cdot 159^{99k+50}+6131\cdot 159^{98k+49}+915\cdot 159^{97k+49}+19312\cdot 159^{96k+48}+2329\cdot 159^{95k+48}\\||+41255\cdot 159^{94k+47}+4294\cdot 159^{93k+47}+66787\cdot 159^{92k+46}+6153\cdot 159^{91k+46}+84974\cdot 159^{90k+45}\\||+6977\cdot 159^{89k+45}+86653\cdot 159^{88k+44}+6512\cdot 159^{87k+44}+76187\cdot 159^{86k+43}+5633\cdot 159^{85k+43}\\||+68794\cdot 159^{84k+42}+5649\cdot 159^{83k+42}+79115\cdot 159^{82k+41}+7276\cdot 159^{81k+41}+106945\cdot 159^{80k+40}\\||+9645\cdot 159^{79k+40}+132596\cdot 159^{78k+39}+10891\cdot 159^{77k+39}+134437\cdot 159^{76k+38}+9846\cdot 159^{75k+38}\\||+108569\cdot 159^{74k+37}+7237\cdot 159^{73k+37}+76216\cdot 159^{72k+36}+5287\cdot 159^{71k+36}+64283\cdot 159^{70k+35}\\||+5478\cdot 159^{69k+35}+79507\cdot 159^{68k+34}+7345\cdot 159^{67k+34}+104396\cdot 159^{66k+33}+8787\cdot 159^{65k+33}\\||+109165\cdot 159^{64k+32}+7868\cdot 159^{63k+32}+83003\cdot 159^{62k+31}+5079\cdot 159^{61k+31}+46234\cdot 159^{60k+30}\\||+2627\cdot 159^{59k+30}+27347\cdot 159^{58k+29}+2376\cdot 159^{57k+29}+39925\cdot 159^{56k+28}+4297\cdot 159^{55k+28}\\||+68552\cdot 159^{54k+27}+6267\cdot 159^{53k+27}+82837\cdot 159^{52k+26}+6267\cdot 159^{51k+26}+68552\cdot 159^{50k+25}\\||+4297\cdot 159^{49k+25}+39925\cdot 159^{48k+24}+2376\cdot 159^{47k+24}+27347\cdot 159^{46k+23}+2627\cdot 159^{45k+23}\\||+46234\cdot 159^{44k+22}+5079\cdot 159^{43k+22}+83003\cdot 159^{42k+21}+7868\cdot 159^{41k+21}+109165\cdot 159^{40k+20}\\||+8787\cdot 159^{39k+20}+104396\cdot 159^{38k+19}+7345\cdot 159^{37k+19}+79507\cdot 159^{36k+18}+5478\cdot 159^{35k+18}\\||+64283\cdot 159^{34k+17}+5287\cdot 159^{33k+17}+76216\cdot 159^{32k+16}+7237\cdot 159^{31k+16}+108569\cdot 159^{30k+15}\\||+9846\cdot 159^{29k+15}+134437\cdot 159^{28k+14}+10891\cdot 159^{27k+14}+132596\cdot 159^{26k+13}+9645\cdot 159^{25k+13}\\||+106945\cdot 159^{24k+12}+7276\cdot 159^{23k+12}+79115\cdot 159^{22k+11}+5649\cdot 159^{21k+11}+68794\cdot 159^{20k+10}\\||+5633\cdot 159^{19k+10}+76187\cdot 159^{18k+9}+6512\cdot 159^{17k+9}+86653\cdot 159^{16k+8}+6977\cdot 159^{15k+8}\\||+84974\cdot 159^{14k+7}+6153\cdot 159^{13k+7}+66787\cdot 159^{12k+6}+4294\cdot 159^{11k+6}+41255\cdot 159^{10k+5}\\||+2329\cdot 159^{9k+5}+19312\cdot 159^{8k+4}+915\cdot 159^{7k+4}+6131\cdot 159^{6k+3}+224\cdot 159^{5k+3}\\||+1093\cdot 159^{4k+2}+27\cdot 159^{3k+2}+80\cdot 159^{2k+1}+159^{k+1}+1)\end{eqnarray}%%
Φ161(1612k+1)⋯Φ165(1652k+1)Φ161(1612k+1)⋯Φ165(1652k+1)
%%\begin{eqnarray}{\large\Phi}_{161}(161^{2k+1})|=|161^{264k+132}-161^{262k+131}+161^{250k+125}-161^{248k+124}+161^{236k+118}\\||-161^{234k+117}+161^{222k+111}-161^{220k+110}+161^{218k+109}-161^{216k+108}\\||+161^{208k+104}-161^{206k+103}+161^{204k+102}-161^{202k+101}+161^{194k+97}\\||-161^{192k+96}+161^{190k+95}-161^{188k+94}+161^{180k+90}-161^{178k+89}\\||+161^{176k+88}-161^{174k+87}+161^{172k+86}-161^{170k+85}+161^{166k+83}\\||-161^{164k+82}+161^{162k+81}-161^{160k+80}+161^{158k+79}-161^{156k+78}\\||+161^{152k+76}-161^{150k+75}+161^{148k+74}-161^{146k+73}+161^{144k+72}\\||-161^{142k+71}+161^{138k+69}-161^{136k+68}+161^{134k+67}-161^{132k+66}\\||+161^{130k+65}-161^{128k+64}+161^{126k+63}-161^{122k+61}+161^{120k+60}\\||-161^{118k+59}+161^{116k+58}-161^{114k+57}+161^{112k+56}-161^{108k+54}\\||+161^{106k+53}-161^{104k+52}+161^{102k+51}-161^{100k+50}+161^{98k+49}\\||-161^{94k+47}+161^{92k+46}-161^{90k+45}+161^{88k+44}-161^{86k+43}\\||+161^{84k+42}-161^{76k+38}+161^{74k+37}-161^{72k+36}+161^{70k+35}\\||-161^{62k+31}+161^{60k+30}-161^{58k+29}+161^{56k+28}-161^{48k+24}\\||+161^{46k+23}-161^{44k+22}+161^{42k+21}-161^{30k+15}+161^{28k+14}\\||-161^{16k+8}+161^{14k+7}-161^{2k+1}+1\\|=|(161^{132k+66}-161^{131k+66}+80\cdot 161^{130k+65}-26\cdot 161^{129k+65}+986\cdot 161^{128k+64}\\||-176\cdot 161^{127k+64}+3874\cdot 161^{126k+63}-395\cdot 161^{125k+63}+4313\cdot 161^{124k+62}-92\cdot 161^{123k+62}\\||-2954\cdot 161^{122k+61}+364\cdot 161^{121k+61}-1008\cdot 161^{120k+60}-526\cdot 161^{119k+60}+12629\cdot 161^{118k+59}\\||-843\cdot 161^{117k+59}+374\cdot 161^{116k+58}+906\cdot 161^{115k+58}-16080\cdot 161^{114k+57}+812\cdot 161^{113k+57}\\||+738\cdot 161^{112k+56}-705\cdot 161^{111k+56}+10137\cdot 161^{110k+55}-453\cdot 161^{109k+55}-763\cdot 161^{108k+54}\\||+558\cdot 161^{107k+54}-11452\cdot 161^{106k+53}+892\cdot 161^{105k+53}-4941\cdot 161^{104k+52}-439\cdot 161^{103k+52}\\||+14549\cdot 161^{102k+51}-1337\cdot 161^{101k+51}+11892\cdot 161^{100k+50}-160\cdot 161^{99k+50}-8502\cdot 161^{98k+49}\\||+1181\cdot 161^{97k+49}-12893\cdot 161^{96k+48}+107\cdot 161^{95k+48}+13377\cdot 161^{94k+47}-1634\cdot 161^{93k+47}\\||+14756\cdot 161^{92k+46}-4\cdot 161^{91k+46}-12767\cdot 161^{90k+45}+1351\cdot 161^{89k+45}-14403\cdot 161^{88k+44}\\||+655\cdot 161^{87k+44}+241\cdot 161^{86k+43}-833\cdot 161^{85k+43}+17102\cdot 161^{84k+42}-979\cdot 161^{83k+42}\\||-2873\cdot 161^{82k+41}+1343\cdot 161^{81k+41}-17789\cdot 161^{80k+40}+423\cdot 161^{79k+40}+7977\cdot 161^{78k+39}\\||-928\cdot 161^{77k+39}+7421\cdot 161^{76k+38}-251\cdot 161^{75k+38}+2551\cdot 161^{74k+37}-121\cdot 161^{73k+37}\\||-3259\cdot 161^{72k+36}+681\cdot 161^{71k+36}-9148\cdot 161^{70k+35}+357\cdot 161^{69k+35}+417\cdot 161^{68k+34}\\||-191\cdot 161^{67k+34}+2609\cdot 161^{66k+33}-191\cdot 161^{65k+33}+417\cdot 161^{64k+32}+357\cdot 161^{63k+32}\\||-9148\cdot 161^{62k+31}+681\cdot 161^{61k+31}-3259\cdot 161^{60k+30}-121\cdot 161^{59k+30}+2551\cdot 161^{58k+29}\\||-251\cdot 161^{57k+29}+7421\cdot 161^{56k+28}-928\cdot 161^{55k+28}+7977\cdot 161^{54k+27}+423\cdot 161^{53k+27}\\||-17789\cdot 161^{52k+26}+1343\cdot 161^{51k+26}-2873\cdot 161^{50k+25}-979\cdot 161^{49k+25}+17102\cdot 161^{48k+24}\\||-833\cdot 161^{47k+24}+241\cdot 161^{46k+23}+655\cdot 161^{45k+23}-14403\cdot 161^{44k+22}+1351\cdot 161^{43k+22}\\||-12767\cdot 161^{42k+21}-4\cdot 161^{41k+21}+14756\cdot 161^{40k+20}-1634\cdot 161^{39k+20}+13377\cdot 161^{38k+19}\\||+107\cdot 161^{37k+19}-12893\cdot 161^{36k+18}+1181\cdot 161^{35k+18}-8502\cdot 161^{34k+17}-160\cdot 161^{33k+17}\\||+11892\cdot 161^{32k+16}-1337\cdot 161^{31k+16}+14549\cdot 161^{30k+15}-439\cdot 161^{29k+15}-4941\cdot 161^{28k+14}\\||+892\cdot 161^{27k+14}-11452\cdot 161^{26k+13}+558\cdot 161^{25k+13}-763\cdot 161^{24k+12}-453\cdot 161^{23k+12}\\||+10137\cdot 161^{22k+11}-705\cdot 161^{21k+11}+738\cdot 161^{20k+10}+812\cdot 161^{19k+10}-16080\cdot 161^{18k+9}\\||+906\cdot 161^{17k+9}+374\cdot 161^{16k+8}-843\cdot 161^{15k+8}+12629\cdot 161^{14k+7}-526\cdot 161^{13k+7}\\||-1008\cdot 161^{12k+6}+364\cdot 161^{11k+6}-2954\cdot 161^{10k+5}-92\cdot 161^{9k+5}+4313\cdot 161^{8k+4}\\||-395\cdot 161^{7k+4}+3874\cdot 161^{6k+3}-176\cdot 161^{5k+3}+986\cdot 161^{4k+2}-26\cdot 161^{3k+2}\\||+80\cdot 161^{2k+1}-161^{k+1}+1)\\|\times|(161^{132k+66}+161^{131k+66}+80\cdot 161^{130k+65}+26\cdot 161^{129k+65}+986\cdot 161^{128k+64}\\||+176\cdot 161^{127k+64}+3874\cdot 161^{126k+63}+395\cdot 161^{125k+63}+4313\cdot 161^{124k+62}+92\cdot 161^{123k+62}\\||-2954\cdot 161^{122k+61}-364\cdot 161^{121k+61}-1008\cdot 161^{120k+60}+526\cdot 161^{119k+60}+12629\cdot 161^{118k+59}\\||+843\cdot 161^{117k+59}+374\cdot 161^{116k+58}-906\cdot 161^{115k+58}-16080\cdot 161^{114k+57}-812\cdot 161^{113k+57}\\||+738\cdot 161^{112k+56}+705\cdot 161^{111k+56}+10137\cdot 161^{110k+55}+453\cdot 161^{109k+55}-763\cdot 161^{108k+54}\\||-558\cdot 161^{107k+54}-11452\cdot 161^{106k+53}-892\cdot 161^{105k+53}-4941\cdot 161^{104k+52}+439\cdot 161^{103k+52}\\||+14549\cdot 161^{102k+51}+1337\cdot 161^{101k+51}+11892\cdot 161^{100k+50}+160\cdot 161^{99k+50}-8502\cdot 161^{98k+49}\\||-1181\cdot 161^{97k+49}-12893\cdot 161^{96k+48}-107\cdot 161^{95k+48}+13377\cdot 161^{94k+47}+1634\cdot 161^{93k+47}\\||+14756\cdot 161^{92k+46}+4\cdot 161^{91k+46}-12767\cdot 161^{90k+45}-1351\cdot 161^{89k+45}-14403\cdot 161^{88k+44}\\||-655\cdot 161^{87k+44}+241\cdot 161^{86k+43}+833\cdot 161^{85k+43}+17102\cdot 161^{84k+42}+979\cdot 161^{83k+42}\\||-2873\cdot 161^{82k+41}-1343\cdot 161^{81k+41}-17789\cdot 161^{80k+40}-423\cdot 161^{79k+40}+7977\cdot 161^{78k+39}\\||+928\cdot 161^{77k+39}+7421\cdot 161^{76k+38}+251\cdot 161^{75k+38}+2551\cdot 161^{74k+37}+121\cdot 161^{73k+37}\\||-3259\cdot 161^{72k+36}-681\cdot 161^{71k+36}-9148\cdot 161^{70k+35}-357\cdot 161^{69k+35}+417\cdot 161^{68k+34}\\||+191\cdot 161^{67k+34}+2609\cdot 161^{66k+33}+191\cdot 161^{65k+33}+417\cdot 161^{64k+32}-357\cdot 161^{63k+32}\\||-9148\cdot 161^{62k+31}-681\cdot 161^{61k+31}-3259\cdot 161^{60k+30}+121\cdot 161^{59k+30}+2551\cdot 161^{58k+29}\\||+251\cdot 161^{57k+29}+7421\cdot 161^{56k+28}+928\cdot 161^{55k+28}+7977\cdot 161^{54k+27}-423\cdot 161^{53k+27}\\||-17789\cdot 161^{52k+26}-1343\cdot 161^{51k+26}-2873\cdot 161^{50k+25}+979\cdot 161^{49k+25}+17102\cdot 161^{48k+24}\\||+833\cdot 161^{47k+24}+241\cdot 161^{46k+23}-655\cdot 161^{45k+23}-14403\cdot 161^{44k+22}-1351\cdot 161^{43k+22}\\||-12767\cdot 161^{42k+21}+4\cdot 161^{41k+21}+14756\cdot 161^{40k+20}+1634\cdot 161^{39k+20}+13377\cdot 161^{38k+19}\\||-107\cdot 161^{37k+19}-12893\cdot 161^{36k+18}-1181\cdot 161^{35k+18}-8502\cdot 161^{34k+17}+160\cdot 161^{33k+17}\\||+11892\cdot 161^{32k+16}+1337\cdot 161^{31k+16}+14549\cdot 161^{30k+15}+439\cdot 161^{29k+15}-4941\cdot 161^{28k+14}\\||-892\cdot 161^{27k+14}-11452\cdot 161^{26k+13}-558\cdot 161^{25k+13}-763\cdot 161^{24k+12}+453\cdot 161^{23k+12}\\||+10137\cdot 161^{22k+11}+705\cdot 161^{21k+11}+738\cdot 161^{20k+10}-812\cdot 161^{19k+10}-16080\cdot 161^{18k+9}\\||-906\cdot 161^{17k+9}+374\cdot 161^{16k+8}+843\cdot 161^{15k+8}+12629\cdot 161^{14k+7}+526\cdot 161^{13k+7}\\||-1008\cdot 161^{12k+6}-364\cdot 161^{11k+6}-2954\cdot 161^{10k+5}+92\cdot 161^{9k+5}+4313\cdot 161^{8k+4}\\||+395\cdot 161^{7k+4}+3874\cdot 161^{6k+3}+176\cdot 161^{5k+3}+986\cdot 161^{4k+2}+26\cdot 161^{3k+2}\\||+80\cdot 161^{2k+1}+161^{k+1}+1)\\{\large\Phi}_{326}(163^{2k+1})|=|163^{324k+162}-163^{322k+161}+163^{320k+160}-163^{318k+159}+163^{316k+158}\\||-163^{314k+157}+163^{312k+156}-163^{310k+155}+163^{308k+154}-163^{306k+153}\\||+163^{304k+152}-163^{302k+151}+163^{300k+150}-163^{298k+149}+163^{296k+148}\\||-163^{294k+147}+163^{292k+146}-163^{290k+145}+163^{288k+144}-163^{286k+143}\\||+163^{284k+142}-163^{282k+141}+163^{280k+140}-163^{278k+139}+163^{276k+138}\\||-163^{274k+137}+163^{272k+136}-163^{270k+135}+163^{268k+134}-163^{266k+133}\\||+163^{264k+132}-163^{262k+131}+163^{260k+130}-163^{258k+129}+163^{256k+128}\\||-163^{254k+127}+163^{252k+126}-163^{250k+125}+163^{248k+124}-163^{246k+123}\\||+163^{244k+122}-163^{242k+121}+163^{240k+120}-163^{238k+119}+163^{236k+118}\\||-163^{234k+117}+163^{232k+116}-163^{230k+115}+163^{228k+114}-163^{226k+113}\\||+163^{224k+112}-163^{222k+111}+163^{220k+110}-163^{218k+109}+163^{216k+108}\\||-163^{214k+107}+163^{212k+106}-163^{210k+105}+163^{208k+104}-163^{206k+103}\\||+163^{204k+102}-163^{202k+101}+163^{200k+100}-163^{198k+99}+163^{196k+98}\\||-163^{194k+97}+163^{192k+96}-163^{190k+95}+163^{188k+94}-163^{186k+93}\\||+163^{184k+92}-163^{182k+91}+163^{180k+90}-163^{178k+89}+163^{176k+88}\\||-163^{174k+87}+163^{172k+86}-163^{170k+85}+163^{168k+84}-163^{166k+83}\\||+163^{164k+82}-163^{162k+81}+163^{160k+80}-163^{158k+79}+163^{156k+78}\\||-163^{154k+77}+163^{152k+76}-163^{150k+75}+163^{148k+74}-163^{146k+73}\\||+163^{144k+72}-163^{142k+71}+163^{140k+70}-163^{138k+69}+163^{136k+68}\\||-163^{134k+67}+163^{132k+66}-163^{130k+65}+163^{128k+64}-163^{126k+63}\\||+163^{124k+62}-163^{122k+61}+163^{120k+60}-163^{118k+59}+163^{116k+58}\\||-163^{114k+57}+163^{112k+56}-163^{110k+55}+163^{108k+54}-163^{106k+53}\\||+163^{104k+52}-163^{102k+51}+163^{100k+50}-163^{98k+49}+163^{96k+48}\\||-163^{94k+47}+163^{92k+46}-163^{90k+45}+163^{88k+44}-163^{86k+43}\\||+163^{84k+42}-163^{82k+41}+163^{80k+40}-163^{78k+39}+163^{76k+38}\\||-163^{74k+37}+163^{72k+36}-163^{70k+35}+163^{68k+34}-163^{66k+33}\\||+163^{64k+32}-163^{62k+31}+163^{60k+30}-163^{58k+29}+163^{56k+28}\\||-163^{54k+27}+163^{52k+26}-163^{50k+25}+163^{48k+24}-163^{46k+23}\\||+163^{44k+22}-163^{42k+21}+163^{40k+20}-163^{38k+19}+163^{36k+18}\\||-163^{34k+17}+163^{32k+16}-163^{30k+15}+163^{28k+14}-163^{26k+13}\\||+163^{24k+12}-163^{22k+11}+163^{20k+10}-163^{18k+9}+163^{16k+8}\\||-163^{14k+7}+163^{12k+6}-163^{10k+5}+163^{8k+4}-163^{6k+3}\\||+163^{4k+2}-163^{2k+1}+1\\|=|(163^{162k+81}-163^{161k+81}+81\cdot 163^{160k+80}-27\cdot 163^{159k+80}+1121\cdot 163^{158k+79}\\||-235\cdot 163^{157k+79}+6917\cdot 163^{156k+78}-1107\cdot 163^{155k+78}+26079\cdot 163^{154k+77}-3451\cdot 163^{153k+77}\\||+68901\cdot 163^{152k+76}-7883\cdot 163^{151k+76}+138431\cdot 163^{150k+75}-14157\cdot 163^{149k+75}+225947\cdot 163^{148k+74}\\||-21379\cdot 163^{147k+74}+321745\cdot 163^{146k+73}-29259\cdot 163^{145k+73}+430327\cdot 163^{144k+72}-38669\cdot 163^{143k+72}\\||+563737\cdot 163^{142k+71}-49981\cdot 163^{141k+71}+711927\cdot 163^{140k+70}-60989\cdot 163^{139k+70}+832027\cdot 163^{138k+69}\\||-67999\cdot 163^{137k+69}+887093\cdot 163^{136k+68}-69959\cdot 163^{135k+68}+893771\cdot 163^{134k+67}-70237\cdot 163^{133k+67}\\||+907413\cdot 163^{132k+66}-72575\cdot 163^{131k+66}+949931\cdot 163^{130k+65}-75963\cdot 163^{129k+65}+978545\cdot 163^{128k+64}\\||-76133\cdot 163^{127k+64}+952427\cdot 163^{126k+63}-72741\cdot 163^{125k+63}+914035\cdot 163^{124k+62}-72199\cdot 163^{123k+62}\\||+960557\cdot 163^{122k+61}-80741\cdot 163^{121k+61}+1124081\cdot 163^{120k+60}-95965\cdot 163^{119k+60}+1317293\cdot 163^{118k+59}\\||-108655\cdot 163^{117k+59}+1429833\cdot 163^{116k+58}-113529\cdot 163^{115k+58}+1457661\cdot 163^{114k+57}-115025\cdot 163^{113k+57}\\||+1492625\cdot 163^{112k+56}-120009\cdot 163^{111k+56}+1579305\cdot 163^{110k+55}-126725\cdot 163^{109k+55}+1628867\cdot 163^{108k+54}\\||-125063\cdot 163^{107k+54}+1515473\cdot 163^{106k+53}-109005\cdot 163^{105k+53}+1243067\cdot 163^{104k+52}-85653\cdot 163^{103k+52}\\||+965847\cdot 163^{102k+51}-68491\cdot 163^{101k+51}+821181\cdot 163^{100k+50}-62299\cdot 163^{99k+50}+778213\cdot 163^{98k+49}\\||-58765\cdot 163^{97k+49}+699405\cdot 163^{96k+48}-49043\cdot 163^{95k+48}+544275\cdot 163^{94k+47}-37331\cdot 163^{93k+47}\\||+446891\cdot 163^{92k+46}-36879\cdot 163^{91k+46}+549611\cdot 163^{90k+45}-52341\cdot 163^{89k+45}+799815\cdot 163^{88k+44}\\||-71585\cdot 163^{87k+44}+986729\cdot 163^{86k+43}-79001\cdot 163^{85k+43}+986989\cdot 163^{84k+42}-73839\cdot 163^{83k+42}\\||+901839\cdot 163^{82k+41}-69359\cdot 163^{81k+41}+901839\cdot 163^{80k+40}-73839\cdot 163^{79k+40}+986989\cdot 163^{78k+39}\\||-79001\cdot 163^{77k+39}+986729\cdot 163^{76k+38}-71585\cdot 163^{75k+38}+799815\cdot 163^{74k+37}-52341\cdot 163^{73k+37}\\||+549611\cdot 163^{72k+36}-36879\cdot 163^{71k+36}+446891\cdot 163^{70k+35}-37331\cdot 163^{69k+35}+544275\cdot 163^{68k+34}\\||-49043\cdot 163^{67k+34}+699405\cdot 163^{66k+33}-58765\cdot 163^{65k+33}+778213\cdot 163^{64k+32}-62299\cdot 163^{63k+32}\\||+821181\cdot 163^{62k+31}-68491\cdot 163^{61k+31}+965847\cdot 163^{60k+30}-85653\cdot 163^{59k+30}+1243067\cdot 163^{58k+29}\\||-109005\cdot 163^{57k+29}+1515473\cdot 163^{56k+28}-125063\cdot 163^{55k+28}+1628867\cdot 163^{54k+27}-126725\cdot 163^{53k+27}\\||+1579305\cdot 163^{52k+26}-120009\cdot 163^{51k+26}+1492625\cdot 163^{50k+25}-115025\cdot 163^{49k+25}+1457661\cdot 163^{48k+24}\\||-113529\cdot 163^{47k+24}+1429833\cdot 163^{46k+23}-108655\cdot 163^{45k+23}+1317293\cdot 163^{44k+22}-95965\cdot 163^{43k+22}\\||+1124081\cdot 163^{42k+21}-80741\cdot 163^{41k+21}+960557\cdot 163^{40k+20}-72199\cdot 163^{39k+20}+914035\cdot 163^{38k+19}\\||-72741\cdot 163^{37k+19}+952427\cdot 163^{36k+18}-76133\cdot 163^{35k+18}+978545\cdot 163^{34k+17}-75963\cdot 163^{33k+17}\\||+949931\cdot 163^{32k+16}-72575\cdot 163^{31k+16}+907413\cdot 163^{30k+15}-70237\cdot 163^{29k+15}+893771\cdot 163^{28k+14}\\||-69959\cdot 163^{27k+14}+887093\cdot 163^{26k+13}-67999\cdot 163^{25k+13}+832027\cdot 163^{24k+12}-60989\cdot 163^{23k+12}\\||+711927\cdot 163^{22k+11}-49981\cdot 163^{21k+11}+563737\cdot 163^{20k+10}-38669\cdot 163^{19k+10}+430327\cdot 163^{18k+9}\\||-29259\cdot 163^{17k+9}+321745\cdot 163^{16k+8}-21379\cdot 163^{15k+8}+225947\cdot 163^{14k+7}-14157\cdot 163^{13k+7}\\||+138431\cdot 163^{12k+6}-7883\cdot 163^{11k+6}+68901\cdot 163^{10k+5}-3451\cdot 163^{9k+5}+26079\cdot 163^{8k+4}\\||-1107\cdot 163^{7k+4}+6917\cdot 163^{6k+3}-235\cdot 163^{5k+3}+1121\cdot 163^{4k+2}-27\cdot 163^{3k+2}\\||+81\cdot 163^{2k+1}-163^{k+1}+1)\\|\times|(163^{162k+81}+163^{161k+81}+81\cdot 163^{160k+80}+27\cdot 163^{159k+80}+1121\cdot 163^{158k+79}\\||+235\cdot 163^{157k+79}+6917\cdot 163^{156k+78}+1107\cdot 163^{155k+78}+26079\cdot 163^{154k+77}+3451\cdot 163^{153k+77}\\||+68901\cdot 163^{152k+76}+7883\cdot 163^{151k+76}+138431\cdot 163^{150k+75}+14157\cdot 163^{149k+75}+225947\cdot 163^{148k+74}\\||+21379\cdot 163^{147k+74}+321745\cdot 163^{146k+73}+29259\cdot 163^{145k+73}+430327\cdot 163^{144k+72}+38669\cdot 163^{143k+72}\\||+563737\cdot 163^{142k+71}+49981\cdot 163^{141k+71}+711927\cdot 163^{140k+70}+60989\cdot 163^{139k+70}+832027\cdot 163^{138k+69}\\||+67999\cdot 163^{137k+69}+887093\cdot 163^{136k+68}+69959\cdot 163^{135k+68}+893771\cdot 163^{134k+67}+70237\cdot 163^{133k+67}\\||+907413\cdot 163^{132k+66}+72575\cdot 163^{131k+66}+949931\cdot 163^{130k+65}+75963\cdot 163^{129k+65}+978545\cdot 163^{128k+64}\\||+76133\cdot 163^{127k+64}+952427\cdot 163^{126k+63}+72741\cdot 163^{125k+63}+914035\cdot 163^{124k+62}+72199\cdot 163^{123k+62}\\||+960557\cdot 163^{122k+61}+80741\cdot 163^{121k+61}+1124081\cdot 163^{120k+60}+95965\cdot 163^{119k+60}+1317293\cdot 163^{118k+59}\\||+108655\cdot 163^{117k+59}+1429833\cdot 163^{116k+58}+113529\cdot 163^{115k+58}+1457661\cdot 163^{114k+57}+115025\cdot 163^{113k+57}\\||+1492625\cdot 163^{112k+56}+120009\cdot 163^{111k+56}+1579305\cdot 163^{110k+55}+126725\cdot 163^{109k+55}+1628867\cdot 163^{108k+54}\\||+125063\cdot 163^{107k+54}+1515473\cdot 163^{106k+53}+109005\cdot 163^{105k+53}+1243067\cdot 163^{104k+52}+85653\cdot 163^{103k+52}\\||+965847\cdot 163^{102k+51}+68491\cdot 163^{101k+51}+821181\cdot 163^{100k+50}+62299\cdot 163^{99k+50}+778213\cdot 163^{98k+49}\\||+58765\cdot 163^{97k+49}+699405\cdot 163^{96k+48}+49043\cdot 163^{95k+48}+544275\cdot 163^{94k+47}+37331\cdot 163^{93k+47}\\||+446891\cdot 163^{92k+46}+36879\cdot 163^{91k+46}+549611\cdot 163^{90k+45}+52341\cdot 163^{89k+45}+799815\cdot 163^{88k+44}\\||+71585\cdot 163^{87k+44}+986729\cdot 163^{86k+43}+79001\cdot 163^{85k+43}+986989\cdot 163^{84k+42}+73839\cdot 163^{83k+42}\\||+901839\cdot 163^{82k+41}+69359\cdot 163^{81k+41}+901839\cdot 163^{80k+40}+73839\cdot 163^{79k+40}+986989\cdot 163^{78k+39}\\||+79001\cdot 163^{77k+39}+986729\cdot 163^{76k+38}+71585\cdot 163^{75k+38}+799815\cdot 163^{74k+37}+52341\cdot 163^{73k+37}\\||+549611\cdot 163^{72k+36}+36879\cdot 163^{71k+36}+446891\cdot 163^{70k+35}+37331\cdot 163^{69k+35}+544275\cdot 163^{68k+34}\\||+49043\cdot 163^{67k+34}+699405\cdot 163^{66k+33}+58765\cdot 163^{65k+33}+778213\cdot 163^{64k+32}+62299\cdot 163^{63k+32}\\||+821181\cdot 163^{62k+31}+68491\cdot 163^{61k+31}+965847\cdot 163^{60k+30}+85653\cdot 163^{59k+30}+1243067\cdot 163^{58k+29}\\||+109005\cdot 163^{57k+29}+1515473\cdot 163^{56k+28}+125063\cdot 163^{55k+28}+1628867\cdot 163^{54k+27}+126725\cdot 163^{53k+27}\\||+1579305\cdot 163^{52k+26}+120009\cdot 163^{51k+26}+1492625\cdot 163^{50k+25}+115025\cdot 163^{49k+25}+1457661\cdot 163^{48k+24}\\||+113529\cdot 163^{47k+24}+1429833\cdot 163^{46k+23}+108655\cdot 163^{45k+23}+1317293\cdot 163^{44k+22}+95965\cdot 163^{43k+22}\\||+1124081\cdot 163^{42k+21}+80741\cdot 163^{41k+21}+960557\cdot 163^{40k+20}+72199\cdot 163^{39k+20}+914035\cdot 163^{38k+19}\\||+72741\cdot 163^{37k+19}+952427\cdot 163^{36k+18}+76133\cdot 163^{35k+18}+978545\cdot 163^{34k+17}+75963\cdot 163^{33k+17}\\||+949931\cdot 163^{32k+16}+72575\cdot 163^{31k+16}+907413\cdot 163^{30k+15}+70237\cdot 163^{29k+15}+893771\cdot 163^{28k+14}\\||+69959\cdot 163^{27k+14}+887093\cdot 163^{26k+13}+67999\cdot 163^{25k+13}+832027\cdot 163^{24k+12}+60989\cdot 163^{23k+12}\\||+711927\cdot 163^{22k+11}+49981\cdot 163^{21k+11}+563737\cdot 163^{20k+10}+38669\cdot 163^{19k+10}+430327\cdot 163^{18k+9}\\||+29259\cdot 163^{17k+9}+321745\cdot 163^{16k+8}+21379\cdot 163^{15k+8}+225947\cdot 163^{14k+7}+14157\cdot 163^{13k+7}\\||+138431\cdot 163^{12k+6}+7883\cdot 163^{11k+6}+68901\cdot 163^{10k+5}+3451\cdot 163^{9k+5}+26079\cdot 163^{8k+4}\\||+1107\cdot 163^{7k+4}+6917\cdot 163^{6k+3}+235\cdot 163^{5k+3}+1121\cdot 163^{4k+2}+27\cdot 163^{3k+2}\\||+81\cdot 163^{2k+1}+163^{k+1}+1)\\{\large\Phi}_{165}(165^{2k+1})|=|165^{160k+80}+165^{158k+79}+165^{156k+78}-165^{150k+75}-165^{148k+74}\\||-165^{146k+73}-165^{138k+69}-165^{136k+68}-165^{134k+67}+165^{130k+65}\\||+2\cdot 165^{128k+64}+2\cdot 165^{126k+63}+165^{124k+62}-165^{120k+60}-165^{118k+59}\\||-165^{116k+58}-165^{108k+54}-165^{106k+53}-165^{104k+52}+165^{100k+50}\\||+2\cdot 165^{98k+49}+2\cdot 165^{96k+48}+2\cdot 165^{94k+47}+165^{92k+46}-165^{88k+44}\\||-165^{86k+43}-165^{84k+42}-165^{82k+41}-165^{80k+40}-165^{78k+39}\\||-165^{76k+38}-165^{74k+37}-165^{72k+36}+165^{68k+34}+2\cdot 165^{66k+33}\\||+2\cdot 165^{64k+32}+2\cdot 165^{62k+31}+165^{60k+30}-165^{56k+28}-165^{54k+27}\\||-165^{52k+26}-165^{44k+22}-165^{42k+21}-165^{40k+20}+165^{36k+18}\\||+2\cdot 165^{34k+17}+2\cdot 165^{32k+16}+165^{30k+15}-165^{26k+13}-165^{24k+12}\\||-165^{22k+11}-165^{14k+7}-165^{12k+6}-165^{10k+5}+165^{4k+2}\\||+165^{2k+1}+1\\|=|(165^{80k+40}-165^{79k+40}+83\cdot 165^{78k+39}-28\cdot 165^{77k+39}+1176\cdot 165^{76k+38}\\||-241\cdot 165^{75k+38}+6837\cdot 165^{74k+37}-1015\cdot 165^{73k+37}+21936\cdot 165^{72k+36}-2580\cdot 165^{71k+36}\\||+45682\cdot 165^{70k+35}-4545\cdot 165^{69k+35}+70373\cdot 165^{68k+34}-6341\cdot 165^{67k+34}+92004\cdot 165^{66k+33}\\||-7983\cdot 165^{65k+33}+113178\cdot 165^{64k+32}-9608\cdot 165^{63k+32}+132489\cdot 165^{62k+31}-10894\cdot 165^{61k+31}\\||+145987\cdot 165^{60k+30}-11781\cdot 165^{59k+30}+156351\cdot 165^{58k+29}-12486\cdot 165^{57k+29}+161606\cdot 165^{56k+28}\\||-12284\cdot 165^{55k+28}+147567\cdot 165^{54k+27}-10223\cdot 165^{53k+27}+111099\cdot 165^{52k+26}-6974\cdot 165^{51k+26}\\||+68683\cdot 165^{50k+25}-3800\cdot 165^{49k+25}+29232\cdot 165^{48k+24}-718\cdot 165^{47k+24}-10813\cdot 165^{46k+23}\\||+2268\cdot 165^{45k+23}-43515\cdot 165^{44k+22}+4095\cdot 165^{43k+22}-56763\cdot 165^{42k+21}+4503\cdot 165^{41k+21}\\||-57905\cdot 165^{40k+20}+4503\cdot 165^{39k+20}-56763\cdot 165^{38k+19}+4095\cdot 165^{37k+19}-43515\cdot 165^{36k+18}\\||+2268\cdot 165^{35k+18}-10813\cdot 165^{34k+17}-718\cdot 165^{33k+17}+29232\cdot 165^{32k+16}-3800\cdot 165^{31k+16}\\||+68683\cdot 165^{30k+15}-6974\cdot 165^{29k+15}+111099\cdot 165^{28k+14}-10223\cdot 165^{27k+14}+147567\cdot 165^{26k+13}\\||-12284\cdot 165^{25k+13}+161606\cdot 165^{24k+12}-12486\cdot 165^{23k+12}+156351\cdot 165^{22k+11}-11781\cdot 165^{21k+11}\\||+145987\cdot 165^{20k+10}-10894\cdot 165^{19k+10}+132489\cdot 165^{18k+9}-9608\cdot 165^{17k+9}+113178\cdot 165^{16k+8}\\||-7983\cdot 165^{15k+8}+92004\cdot 165^{14k+7}-6341\cdot 165^{13k+7}+70373\cdot 165^{12k+6}-4545\cdot 165^{11k+6}\\||+45682\cdot 165^{10k+5}-2580\cdot 165^{9k+5}+21936\cdot 165^{8k+4}-1015\cdot 165^{7k+4}+6837\cdot 165^{6k+3}\\||-241\cdot 165^{5k+3}+1176\cdot 165^{4k+2}-28\cdot 165^{3k+2}+83\cdot 165^{2k+1}-165^{k+1}+1)\\|\times|(165^{80k+40}+165^{79k+40}+83\cdot 165^{78k+39}+28\cdot 165^{77k+39}+1176\cdot 165^{76k+38}\\||+241\cdot 165^{75k+38}+6837\cdot 165^{74k+37}+1015\cdot 165^{73k+37}+21936\cdot 165^{72k+36}+2580\cdot 165^{71k+36}\\||+45682\cdot 165^{70k+35}+4545\cdot 165^{69k+35}+70373\cdot 165^{68k+34}+6341\cdot 165^{67k+34}+92004\cdot 165^{66k+33}\\||+7983\cdot 165^{65k+33}+113178\cdot 165^{64k+32}+9608\cdot 165^{63k+32}+132489\cdot 165^{62k+31}+10894\cdot 165^{61k+31}\\||+145987\cdot 165^{60k+30}+11781\cdot 165^{59k+30}+156351\cdot 165^{58k+29}+12486\cdot 165^{57k+29}+161606\cdot 165^{56k+28}\\||+12284\cdot 165^{55k+28}+147567\cdot 165^{54k+27}+10223\cdot 165^{53k+27}+111099\cdot 165^{52k+26}+6974\cdot 165^{51k+26}\\||+68683\cdot 165^{50k+25}+3800\cdot 165^{49k+25}+29232\cdot 165^{48k+24}+718\cdot 165^{47k+24}-10813\cdot 165^{46k+23}\\||-2268\cdot 165^{45k+23}-43515\cdot 165^{44k+22}-4095\cdot 165^{43k+22}-56763\cdot 165^{42k+21}-4503\cdot 165^{41k+21}\\||-57905\cdot 165^{40k+20}-4503\cdot 165^{39k+20}-56763\cdot 165^{38k+19}-4095\cdot 165^{37k+19}-43515\cdot 165^{36k+18}\\||-2268\cdot 165^{35k+18}-10813\cdot 165^{34k+17}+718\cdot 165^{33k+17}+29232\cdot 165^{32k+16}+3800\cdot 165^{31k+16}\\||+68683\cdot 165^{30k+15}+6974\cdot 165^{29k+15}+111099\cdot 165^{28k+14}+10223\cdot 165^{27k+14}+147567\cdot 165^{26k+13}\\||+12284\cdot 165^{25k+13}+161606\cdot 165^{24k+12}+12486\cdot 165^{23k+12}+156351\cdot 165^{22k+11}+11781\cdot 165^{21k+11}\\||+145987\cdot 165^{20k+10}+10894\cdot 165^{19k+10}+132489\cdot 165^{18k+9}+9608\cdot 165^{17k+9}+113178\cdot 165^{16k+8}\\||+7983\cdot 165^{15k+8}+92004\cdot 165^{14k+7}+6341\cdot 165^{13k+7}+70373\cdot 165^{12k+6}+4545\cdot 165^{11k+6}\\||+45682\cdot 165^{10k+5}+2580\cdot 165^{9k+5}+21936\cdot 165^{8k+4}+1015\cdot 165^{7k+4}+6837\cdot 165^{6k+3}\\||+241\cdot 165^{5k+3}+1176\cdot 165^{4k+2}+28\cdot 165^{3k+2}+83\cdot 165^{2k+1}+165^{k+1}+1)\end{eqnarray}%%
Φ332(1662k+1)⋯Φ340(1702k+1)Φ332(1662k+1)⋯Φ340(1702k+1)
%%\begin{eqnarray}{\large\Phi}_{332}(166^{2k+1})|=|166^{328k+164}-166^{324k+162}+166^{320k+160}-166^{316k+158}+166^{312k+156}\\||-166^{308k+154}+166^{304k+152}-166^{300k+150}+166^{296k+148}-166^{292k+146}\\||+166^{288k+144}-166^{284k+142}+166^{280k+140}-166^{276k+138}+166^{272k+136}\\||-166^{268k+134}+166^{264k+132}-166^{260k+130}+166^{256k+128}-166^{252k+126}\\||+166^{248k+124}-166^{244k+122}+166^{240k+120}-166^{236k+118}+166^{232k+116}\\||-166^{228k+114}+166^{224k+112}-166^{220k+110}+166^{216k+108}-166^{212k+106}\\||+166^{208k+104}-166^{204k+102}+166^{200k+100}-166^{196k+98}+166^{192k+96}\\||-166^{188k+94}+166^{184k+92}-166^{180k+90}+166^{176k+88}-166^{172k+86}\\||+166^{168k+84}-166^{164k+82}+166^{160k+80}-166^{156k+78}+166^{152k+76}\\||-166^{148k+74}+166^{144k+72}-166^{140k+70}+166^{136k+68}-166^{132k+66}\\||+166^{128k+64}-166^{124k+62}+166^{120k+60}-166^{116k+58}+166^{112k+56}\\||-166^{108k+54}+166^{104k+52}-166^{100k+50}+166^{96k+48}-166^{92k+46}\\||+166^{88k+44}-166^{84k+42}+166^{80k+40}-166^{76k+38}+166^{72k+36}\\||-166^{68k+34}+166^{64k+32}-166^{60k+30}+166^{56k+28}-166^{52k+26}\\||+166^{48k+24}-166^{44k+22}+166^{40k+20}-166^{36k+18}+166^{32k+16}\\||-166^{28k+14}+166^{24k+12}-166^{20k+10}+166^{16k+8}-166^{12k+6}\\||+166^{8k+4}-166^{4k+2}+1\\|=|(166^{164k+82}-166^{163k+82}+83\cdot 166^{162k+81}-28\cdot 166^{161k+81}+1203\cdot 166^{160k+80}\\||-257\cdot 166^{159k+80}+7885\cdot 166^{158k+79}-1302\cdot 166^{157k+79}+32609\cdot 166^{156k+78}-4567\cdot 166^{155k+78}\\||+99683\cdot 166^{154k+77}-12410\cdot 166^{153k+77}+244471\cdot 166^{152k+76}-27811\cdot 166^{151k+76}+505885\cdot 166^{150k+75}\\||-53622\cdot 166^{149k+75}+916081\cdot 166^{148k+74}-91855\cdot 166^{147k+74}+1494415\cdot 166^{146k+73}-143600\cdot 166^{145k+73}\\||+2252279\cdot 166^{144k+72}-209807\cdot 166^{143k+72}+3206373\cdot 166^{142k+71}-292348\cdot 166^{141k+71}+4389733\cdot 166^{140k+70}\\||-394425\cdot 166^{139k+70}+5848595\cdot 166^{138k+69}-519588\cdot 166^{137k+69}+7621371\cdot 166^{136k+68}-669711\cdot 166^{135k+68}\\||+9712245\cdot 166^{134k+67}-843324\cdot 166^{133k+67}+12079461\cdot 166^{132k+66}-1035729\cdot 166^{131k+66}+14650911\cdot 166^{130k+65}\\||-1241130\cdot 166^{129k+65}+17358355\cdot 166^{128k+64}-1455277\cdot 166^{127k+64}+20163937\cdot 166^{126k+63}-1676452\cdot 166^{125k+63}\\||+23055473\cdot 166^{124k+62}-1903757\cdot 166^{123k+62}+26010955\cdot 166^{122k+61}-2133866\cdot 166^{121k+61}+28959351\cdot 166^{120k+60}\\||-2358899\cdot 166^{119k+60}+31772317\cdot 166^{118k+59}-2567542\cdot 166^{117k+59}+34300257\cdot 166^{116k+58}-2749079\cdot 166^{115k+58}\\||+36430775\cdot 166^{114k+57}-2897558\cdot 166^{113k+57}+38126683\cdot 166^{112k+56}-3012899\cdot 166^{111k+56}+39413297\cdot 166^{110k+55}\\||-3098010\cdot 166^{109k+55}+40324741\cdot 166^{108k+54}-3154245\cdot 166^{107k+54}+40853679\cdot 166^{106k+53}-3179044\cdot 166^{105k+53}\\||+40948287\cdot 166^{104k+52}-3167947\cdot 166^{103k+52}+40562349\cdot 166^{102k+51}-3119560\cdot 166^{101k+51}+39719589\cdot 166^{100k+50}\\||-3039485\cdot 166^{99k+50}+38538975\cdot 166^{98k+49}-2939806\cdot 166^{97k+49}+37196331\cdot 166^{96k+48}-2834193\cdot 166^{95k+48}\\||+35848945\cdot 166^{94k+47}-2732256\cdot 166^{93k+47}+34579993\cdot 166^{92k+46}-2637431\cdot 166^{91k+46}+33404927\cdot 166^{90k+45}\\||-2549918\cdot 166^{89k+45}+32331443\cdot 166^{88k+44}-2471945\cdot 166^{87k+44}+31419401\cdot 166^{86k+43}-2410728\cdot 166^{85k+43}\\||+30787929\cdot 166^{84k+42}-2376409\cdot 166^{83k+42}+30560019\cdot 166^{82k+41}-2376409\cdot 166^{81k+41}+30787929\cdot 166^{80k+40}\\||-2410728\cdot 166^{79k+40}+31419401\cdot 166^{78k+39}-2471945\cdot 166^{77k+39}+32331443\cdot 166^{76k+38}-2549918\cdot 166^{75k+38}\\||+33404927\cdot 166^{74k+37}-2637431\cdot 166^{73k+37}+34579993\cdot 166^{72k+36}-2732256\cdot 166^{71k+36}+35848945\cdot 166^{70k+35}\\||-2834193\cdot 166^{69k+35}+37196331\cdot 166^{68k+34}-2939806\cdot 166^{67k+34}+38538975\cdot 166^{66k+33}-3039485\cdot 166^{65k+33}\\||+39719589\cdot 166^{64k+32}-3119560\cdot 166^{63k+32}+40562349\cdot 166^{62k+31}-3167947\cdot 166^{61k+31}+40948287\cdot 166^{60k+30}\\||-3179044\cdot 166^{59k+30}+40853679\cdot 166^{58k+29}-3154245\cdot 166^{57k+29}+40324741\cdot 166^{56k+28}-3098010\cdot 166^{55k+28}\\||+39413297\cdot 166^{54k+27}-3012899\cdot 166^{53k+27}+38126683\cdot 166^{52k+26}-2897558\cdot 166^{51k+26}+36430775\cdot 166^{50k+25}\\||-2749079\cdot 166^{49k+25}+34300257\cdot 166^{48k+24}-2567542\cdot 166^{47k+24}+31772317\cdot 166^{46k+23}-2358899\cdot 166^{45k+23}\\||+28959351\cdot 166^{44k+22}-2133866\cdot 166^{43k+22}+26010955\cdot 166^{42k+21}-1903757\cdot 166^{41k+21}+23055473\cdot 166^{40k+20}\\||-1676452\cdot 166^{39k+20}+20163937\cdot 166^{38k+19}-1455277\cdot 166^{37k+19}+17358355\cdot 166^{36k+18}-1241130\cdot 166^{35k+18}\\||+14650911\cdot 166^{34k+17}-1035729\cdot 166^{33k+17}+12079461\cdot 166^{32k+16}-843324\cdot 166^{31k+16}+9712245\cdot 166^{30k+15}\\||-669711\cdot 166^{29k+15}+7621371\cdot 166^{28k+14}-519588\cdot 166^{27k+14}+5848595\cdot 166^{26k+13}-394425\cdot 166^{25k+13}\\||+4389733\cdot 166^{24k+12}-292348\cdot 166^{23k+12}+3206373\cdot 166^{22k+11}-209807\cdot 166^{21k+11}+2252279\cdot 166^{20k+10}\\||-143600\cdot 166^{19k+10}+1494415\cdot 166^{18k+9}-91855\cdot 166^{17k+9}+916081\cdot 166^{16k+8}-53622\cdot 166^{15k+8}\\||+505885\cdot 166^{14k+7}-27811\cdot 166^{13k+7}+244471\cdot 166^{12k+6}-12410\cdot 166^{11k+6}+99683\cdot 166^{10k+5}\\||-4567\cdot 166^{9k+5}+32609\cdot 166^{8k+4}-1302\cdot 166^{7k+4}+7885\cdot 166^{6k+3}-257\cdot 166^{5k+3}\\||+1203\cdot 166^{4k+2}-28\cdot 166^{3k+2}+83\cdot 166^{2k+1}-166^{k+1}+1)\\|\times|(166^{164k+82}+166^{163k+82}+83\cdot 166^{162k+81}+28\cdot 166^{161k+81}+1203\cdot 166^{160k+80}\\||+257\cdot 166^{159k+80}+7885\cdot 166^{158k+79}+1302\cdot 166^{157k+79}+32609\cdot 166^{156k+78}+4567\cdot 166^{155k+78}\\||+99683\cdot 166^{154k+77}+12410\cdot 166^{153k+77}+244471\cdot 166^{152k+76}+27811\cdot 166^{151k+76}+505885\cdot 166^{150k+75}\\||+53622\cdot 166^{149k+75}+916081\cdot 166^{148k+74}+91855\cdot 166^{147k+74}+1494415\cdot 166^{146k+73}+143600\cdot 166^{145k+73}\\||+2252279\cdot 166^{144k+72}+209807\cdot 166^{143k+72}+3206373\cdot 166^{142k+71}+292348\cdot 166^{141k+71}+4389733\cdot 166^{140k+70}\\||+394425\cdot 166^{139k+70}+5848595\cdot 166^{138k+69}+519588\cdot 166^{137k+69}+7621371\cdot 166^{136k+68}+669711\cdot 166^{135k+68}\\||+9712245\cdot 166^{134k+67}+843324\cdot 166^{133k+67}+12079461\cdot 166^{132k+66}+1035729\cdot 166^{131k+66}+14650911\cdot 166^{130k+65}\\||+1241130\cdot 166^{129k+65}+17358355\cdot 166^{128k+64}+1455277\cdot 166^{127k+64}+20163937\cdot 166^{126k+63}+1676452\cdot 166^{125k+63}\\||+23055473\cdot 166^{124k+62}+1903757\cdot 166^{123k+62}+26010955\cdot 166^{122k+61}+2133866\cdot 166^{121k+61}+28959351\cdot 166^{120k+60}\\||+2358899\cdot 166^{119k+60}+31772317\cdot 166^{118k+59}+2567542\cdot 166^{117k+59}+34300257\cdot 166^{116k+58}+2749079\cdot 166^{115k+58}\\||+36430775\cdot 166^{114k+57}+2897558\cdot 166^{113k+57}+38126683\cdot 166^{112k+56}+3012899\cdot 166^{111k+56}+39413297\cdot 166^{110k+55}\\||+3098010\cdot 166^{109k+55}+40324741\cdot 166^{108k+54}+3154245\cdot 166^{107k+54}+40853679\cdot 166^{106k+53}+3179044\cdot 166^{105k+53}\\||+40948287\cdot 166^{104k+52}+3167947\cdot 166^{103k+52}+40562349\cdot 166^{102k+51}+3119560\cdot 166^{101k+51}+39719589\cdot 166^{100k+50}\\||+3039485\cdot 166^{99k+50}+38538975\cdot 166^{98k+49}+2939806\cdot 166^{97k+49}+37196331\cdot 166^{96k+48}+2834193\cdot 166^{95k+48}\\||+35848945\cdot 166^{94k+47}+2732256\cdot 166^{93k+47}+34579993\cdot 166^{92k+46}+2637431\cdot 166^{91k+46}+33404927\cdot 166^{90k+45}\\||+2549918\cdot 166^{89k+45}+32331443\cdot 166^{88k+44}+2471945\cdot 166^{87k+44}+31419401\cdot 166^{86k+43}+2410728\cdot 166^{85k+43}\\||+30787929\cdot 166^{84k+42}+2376409\cdot 166^{83k+42}+30560019\cdot 166^{82k+41}+2376409\cdot 166^{81k+41}+30787929\cdot 166^{80k+40}\\||+2410728\cdot 166^{79k+40}+31419401\cdot 166^{78k+39}+2471945\cdot 166^{77k+39}+32331443\cdot 166^{76k+38}+2549918\cdot 166^{75k+38}\\||+33404927\cdot 166^{74k+37}+2637431\cdot 166^{73k+37}+34579993\cdot 166^{72k+36}+2732256\cdot 166^{71k+36}+35848945\cdot 166^{70k+35}\\||+2834193\cdot 166^{69k+35}+37196331\cdot 166^{68k+34}+2939806\cdot 166^{67k+34}+38538975\cdot 166^{66k+33}+3039485\cdot 166^{65k+33}\\||+39719589\cdot 166^{64k+32}+3119560\cdot 166^{63k+32}+40562349\cdot 166^{62k+31}+3167947\cdot 166^{61k+31}+40948287\cdot 166^{60k+30}\\||+3179044\cdot 166^{59k+30}+40853679\cdot 166^{58k+29}+3154245\cdot 166^{57k+29}+40324741\cdot 166^{56k+28}+3098010\cdot 166^{55k+28}\\||+39413297\cdot 166^{54k+27}+3012899\cdot 166^{53k+27}+38126683\cdot 166^{52k+26}+2897558\cdot 166^{51k+26}+36430775\cdot 166^{50k+25}\\||+2749079\cdot 166^{49k+25}+34300257\cdot 166^{48k+24}+2567542\cdot 166^{47k+24}+31772317\cdot 166^{46k+23}+2358899\cdot 166^{45k+23}\\||+28959351\cdot 166^{44k+22}+2133866\cdot 166^{43k+22}+26010955\cdot 166^{42k+21}+1903757\cdot 166^{41k+21}+23055473\cdot 166^{40k+20}\\||+1676452\cdot 166^{39k+20}+20163937\cdot 166^{38k+19}+1455277\cdot 166^{37k+19}+17358355\cdot 166^{36k+18}+1241130\cdot 166^{35k+18}\\||+14650911\cdot 166^{34k+17}+1035729\cdot 166^{33k+17}+12079461\cdot 166^{32k+16}+843324\cdot 166^{31k+16}+9712245\cdot 166^{30k+15}\\||+669711\cdot 166^{29k+15}+7621371\cdot 166^{28k+14}+519588\cdot 166^{27k+14}+5848595\cdot 166^{26k+13}+394425\cdot 166^{25k+13}\\||+4389733\cdot 166^{24k+12}+292348\cdot 166^{23k+12}+3206373\cdot 166^{22k+11}+209807\cdot 166^{21k+11}+2252279\cdot 166^{20k+10}\\||+143600\cdot 166^{19k+10}+1494415\cdot 166^{18k+9}+91855\cdot 166^{17k+9}+916081\cdot 166^{16k+8}+53622\cdot 166^{15k+8}\\||+505885\cdot 166^{14k+7}+27811\cdot 166^{13k+7}+244471\cdot 166^{12k+6}+12410\cdot 166^{11k+6}+99683\cdot 166^{10k+5}\\||+4567\cdot 166^{9k+5}+32609\cdot 166^{8k+4}+1302\cdot 166^{7k+4}+7885\cdot 166^{6k+3}+257\cdot 166^{5k+3}\\||+1203\cdot 166^{4k+2}+28\cdot 166^{3k+2}+83\cdot 166^{2k+1}+166^{k+1}+1)\\{\large\Phi}_{334}(167^{2k+1})|=|167^{332k+166}-167^{330k+165}+167^{328k+164}-167^{326k+163}+167^{324k+162}\\||-167^{322k+161}+167^{320k+160}-167^{318k+159}+167^{316k+158}-167^{314k+157}\\||+167^{312k+156}-167^{310k+155}+167^{308k+154}-167^{306k+153}+167^{304k+152}\\||-167^{302k+151}+167^{300k+150}-167^{298k+149}+167^{296k+148}-167^{294k+147}\\||+167^{292k+146}-167^{290k+145}+167^{288k+144}-167^{286k+143}+167^{284k+142}\\||-167^{282k+141}+167^{280k+140}-167^{278k+139}+167^{276k+138}-167^{274k+137}\\||+167^{272k+136}-167^{270k+135}+167^{268k+134}-167^{266k+133}+167^{264k+132}\\||-167^{262k+131}+167^{260k+130}-167^{258k+129}+167^{256k+128}-167^{254k+127}\\||+167^{252k+126}-167^{250k+125}+167^{248k+124}-167^{246k+123}+167^{244k+122}\\||-167^{242k+121}+167^{240k+120}-167^{238k+119}+167^{236k+118}-167^{234k+117}\\||+167^{232k+116}-167^{230k+115}+167^{228k+114}-167^{226k+113}+167^{224k+112}\\||-167^{222k+111}+167^{220k+110}-167^{218k+109}+167^{216k+108}-167^{214k+107}\\||+167^{212k+106}-167^{210k+105}+167^{208k+104}-167^{206k+103}+167^{204k+102}\\||-167^{202k+101}+167^{200k+100}-167^{198k+99}+167^{196k+98}-167^{194k+97}\\||+167^{192k+96}-167^{190k+95}+167^{188k+94}-167^{186k+93}+167^{184k+92}\\||-167^{182k+91}+167^{180k+90}-167^{178k+89}+167^{176k+88}-167^{174k+87}\\||+167^{172k+86}-167^{170k+85}+167^{168k+84}-167^{166k+83}+167^{164k+82}\\||-167^{162k+81}+167^{160k+80}-167^{158k+79}+167^{156k+78}-167^{154k+77}\\||+167^{152k+76}-167^{150k+75}+167^{148k+74}-167^{146k+73}+167^{144k+72}\\||-167^{142k+71}+167^{140k+70}-167^{138k+69}+167^{136k+68}-167^{134k+67}\\||+167^{132k+66}-167^{130k+65}+167^{128k+64}-167^{126k+63}+167^{124k+62}\\||-167^{122k+61}+167^{120k+60}-167^{118k+59}+167^{116k+58}-167^{114k+57}\\||+167^{112k+56}-167^{110k+55}+167^{108k+54}-167^{106k+53}+167^{104k+52}\\||-167^{102k+51}+167^{100k+50}-167^{98k+49}+167^{96k+48}-167^{94k+47}\\||+167^{92k+46}-167^{90k+45}+167^{88k+44}-167^{86k+43}+167^{84k+42}\\||-167^{82k+41}+167^{80k+40}-167^{78k+39}+167^{76k+38}-167^{74k+37}\\||+167^{72k+36}-167^{70k+35}+167^{68k+34}-167^{66k+33}+167^{64k+32}\\||-167^{62k+31}+167^{60k+30}-167^{58k+29}+167^{56k+28}-167^{54k+27}\\||+167^{52k+26}-167^{50k+25}+167^{48k+24}-167^{46k+23}+167^{44k+22}\\||-167^{42k+21}+167^{40k+20}-167^{38k+19}+167^{36k+18}-167^{34k+17}\\||+167^{32k+16}-167^{30k+15}+167^{28k+14}-167^{26k+13}+167^{24k+12}\\||-167^{22k+11}+167^{20k+10}-167^{18k+9}+167^{16k+8}-167^{14k+7}\\||+167^{12k+6}-167^{10k+5}+167^{8k+4}-167^{6k+3}+167^{4k+2}\\||-167^{2k+1}+1\\|=|(167^{166k+83}-167^{165k+83}+83\cdot 167^{164k+82}-27\cdot 167^{163k+82}+1065\cdot 167^{162k+81}\\||-191\cdot 167^{161k+81}+4373\cdot 167^{160k+80}-437\cdot 167^{159k+80}+4127\cdot 167^{158k+79}+185\cdot 167^{157k+79}\\||-14085\cdot 167^{156k+78}+2101\cdot 167^{155k+78}-33807\cdot 167^{154k+77}+1969\cdot 167^{153k+77}+1869\cdot 167^{152k+76}\\||-3279\cdot 167^{151k+76}+79629\cdot 167^{150k+75}-7107\cdot 167^{149k+75}+62709\cdot 167^{148k+74}+531\cdot 167^{147k+74}\\||-93199\cdot 167^{146k+73}+12095\cdot 167^{145k+73}-158129\cdot 167^{144k+72}+6551\cdot 167^{143k+72}+41035\cdot 167^{142k+71}\\||-12731\cdot 167^{141k+71}+224551\cdot 167^{140k+70}-14315\cdot 167^{139k+70}+56961\cdot 167^{138k+69}+7927\cdot 167^{137k+69}\\||-216735\cdot 167^{136k+68}+17771\cdot 167^{135k+68}-136349\cdot 167^{134k+67}-971\cdot 167^{133k+67}+138503\cdot 167^{132k+66}\\||-13893\cdot 167^{131k+66}+125303\cdot 167^{130k+65}-1625\cdot 167^{129k+65}-62681\cdot 167^{128k+64}+5803\cdot 167^{127k+64}\\||-17447\cdot 167^{126k+63}-4459\cdot 167^{125k+63}+82261\cdot 167^{124k+62}-1591\cdot 167^{123k+62}-101627\cdot 167^{122k+61}\\||+15969\cdot 167^{121k+61}-210429\cdot 167^{120k+60}+6345\cdot 167^{119k+60}+129653\cdot 167^{118k+59}-24297\cdot 167^{117k+59}\\||+360383\cdot 167^{116k+58}-17409\cdot 167^{115k+58}-37723\cdot 167^{114k+57}+23137\cdot 167^{113k+57}-423843\cdot 167^{112k+56}\\||+26697\cdot 167^{111k+56}-101363\cdot 167^{110k+55}-14069\cdot 167^{109k+55}+360979\cdot 167^{108k+54}-27281\cdot 167^{107k+54}\\||+176217\cdot 167^{106k+53}+4743\cdot 167^{105k+53}-230777\cdot 167^{104k+52}+19613\cdot 167^{103k+52}-139647\cdot 167^{102k+51}\\||-2017\cdot 167^{101k+51}+139983\cdot 167^{100k+50}-10857\cdot 167^{99k+50}+39545\cdot 167^{98k+49}+6793\cdot 167^{97k+49}\\||-153053\cdot 167^{96k+48}+8367\cdot 167^{95k+48}+25443\cdot 167^{94k+47}-13117\cdot 167^{93k+47}+235897\cdot 167^{92k+46}\\||-13757\cdot 167^{91k+46}+16127\cdot 167^{90k+45}+13285\cdot 167^{89k+45}-292089\cdot 167^{88k+44}+21835\cdot 167^{87k+44}\\||-140487\cdot 167^{86k+43}-5521\cdot 167^{85k+43}+256857\cdot 167^{84k+42}-25543\cdot 167^{83k+42}+256857\cdot 167^{82k+41}\\||-5521\cdot 167^{81k+41}-140487\cdot 167^{80k+40}+21835\cdot 167^{79k+40}-292089\cdot 167^{78k+39}+13285\cdot 167^{77k+39}\\||+16127\cdot 167^{76k+38}-13757\cdot 167^{75k+38}+235897\cdot 167^{74k+37}-13117\cdot 167^{73k+37}+25443\cdot 167^{72k+36}\\||+8367\cdot 167^{71k+36}-153053\cdot 167^{70k+35}+6793\cdot 167^{69k+35}+39545\cdot 167^{68k+34}-10857\cdot 167^{67k+34}\\||+139983\cdot 167^{66k+33}-2017\cdot 167^{65k+33}-139647\cdot 167^{64k+32}+19613\cdot 167^{63k+32}-230777\cdot 167^{62k+31}\\||+4743\cdot 167^{61k+31}+176217\cdot 167^{60k+30}-27281\cdot 167^{59k+30}+360979\cdot 167^{58k+29}-14069\cdot 167^{57k+29}\\||-101363\cdot 167^{56k+28}+26697\cdot 167^{55k+28}-423843\cdot 167^{54k+27}+23137\cdot 167^{53k+27}-37723\cdot 167^{52k+26}\\||-17409\cdot 167^{51k+26}+360383\cdot 167^{50k+25}-24297\cdot 167^{49k+25}+129653\cdot 167^{48k+24}+6345\cdot 167^{47k+24}\\||-210429\cdot 167^{46k+23}+15969\cdot 167^{45k+23}-101627\cdot 167^{44k+22}-1591\cdot 167^{43k+22}+82261\cdot 167^{42k+21}\\||-4459\cdot 167^{41k+21}-17447\cdot 167^{40k+20}+5803\cdot 167^{39k+20}-62681\cdot 167^{38k+19}-1625\cdot 167^{37k+19}\\||+125303\cdot 167^{36k+18}-13893\cdot 167^{35k+18}+138503\cdot 167^{34k+17}-971\cdot 167^{33k+17}-136349\cdot 167^{32k+16}\\||+17771\cdot 167^{31k+16}-216735\cdot 167^{30k+15}+7927\cdot 167^{29k+15}+56961\cdot 167^{28k+14}-14315\cdot 167^{27k+14}\\||+224551\cdot 167^{26k+13}-12731\cdot 167^{25k+13}+41035\cdot 167^{24k+12}+6551\cdot 167^{23k+12}-158129\cdot 167^{22k+11}\\||+12095\cdot 167^{21k+11}-93199\cdot 167^{20k+10}+531\cdot 167^{19k+10}+62709\cdot 167^{18k+9}-7107\cdot 167^{17k+9}\\||+79629\cdot 167^{16k+8}-3279\cdot 167^{15k+8}+1869\cdot 167^{14k+7}+1969\cdot 167^{13k+7}-33807\cdot 167^{12k+6}\\||+2101\cdot 167^{11k+6}-14085\cdot 167^{10k+5}+185\cdot 167^{9k+5}+4127\cdot 167^{8k+4}-437\cdot 167^{7k+4}\\||+4373\cdot 167^{6k+3}-191\cdot 167^{5k+3}+1065\cdot 167^{4k+2}-27\cdot 167^{3k+2}+83\cdot 167^{2k+1}\\||-167^{k+1}+1)\\|\times|(167^{166k+83}+167^{165k+83}+83\cdot 167^{164k+82}+27\cdot 167^{163k+82}+1065\cdot 167^{162k+81}\\||+191\cdot 167^{161k+81}+4373\cdot 167^{160k+80}+437\cdot 167^{159k+80}+4127\cdot 167^{158k+79}-185\cdot 167^{157k+79}\\||-14085\cdot 167^{156k+78}-2101\cdot 167^{155k+78}-33807\cdot 167^{154k+77}-1969\cdot 167^{153k+77}+1869\cdot 167^{152k+76}\\||+3279\cdot 167^{151k+76}+79629\cdot 167^{150k+75}+7107\cdot 167^{149k+75}+62709\cdot 167^{148k+74}-531\cdot 167^{147k+74}\\||-93199\cdot 167^{146k+73}-12095\cdot 167^{145k+73}-158129\cdot 167^{144k+72}-6551\cdot 167^{143k+72}+41035\cdot 167^{142k+71}\\||+12731\cdot 167^{141k+71}+224551\cdot 167^{140k+70}+14315\cdot 167^{139k+70}+56961\cdot 167^{138k+69}-7927\cdot 167^{137k+69}\\||-216735\cdot 167^{136k+68}-17771\cdot 167^{135k+68}-136349\cdot 167^{134k+67}+971\cdot 167^{133k+67}+138503\cdot 167^{132k+66}\\||+13893\cdot 167^{131k+66}+125303\cdot 167^{130k+65}+1625\cdot 167^{129k+65}-62681\cdot 167^{128k+64}-5803\cdot 167^{127k+64}\\||-17447\cdot 167^{126k+63}+4459\cdot 167^{125k+63}+82261\cdot 167^{124k+62}+1591\cdot 167^{123k+62}-101627\cdot 167^{122k+61}\\||-15969\cdot 167^{121k+61}-210429\cdot 167^{120k+60}-6345\cdot 167^{119k+60}+129653\cdot 167^{118k+59}+24297\cdot 167^{117k+59}\\||+360383\cdot 167^{116k+58}+17409\cdot 167^{115k+58}-37723\cdot 167^{114k+57}-23137\cdot 167^{113k+57}-423843\cdot 167^{112k+56}\\||-26697\cdot 167^{111k+56}-101363\cdot 167^{110k+55}+14069\cdot 167^{109k+55}+360979\cdot 167^{108k+54}+27281\cdot 167^{107k+54}\\||+176217\cdot 167^{106k+53}-4743\cdot 167^{105k+53}-230777\cdot 167^{104k+52}-19613\cdot 167^{103k+52}-139647\cdot 167^{102k+51}\\||+2017\cdot 167^{101k+51}+139983\cdot 167^{100k+50}+10857\cdot 167^{99k+50}+39545\cdot 167^{98k+49}-6793\cdot 167^{97k+49}\\||-153053\cdot 167^{96k+48}-8367\cdot 167^{95k+48}+25443\cdot 167^{94k+47}+13117\cdot 167^{93k+47}+235897\cdot 167^{92k+46}\\||+13757\cdot 167^{91k+46}+16127\cdot 167^{90k+45}-13285\cdot 167^{89k+45}-292089\cdot 167^{88k+44}-21835\cdot 167^{87k+44}\\||-140487\cdot 167^{86k+43}+5521\cdot 167^{85k+43}+256857\cdot 167^{84k+42}+25543\cdot 167^{83k+42}+256857\cdot 167^{82k+41}\\||+5521\cdot 167^{81k+41}-140487\cdot 167^{80k+40}-21835\cdot 167^{79k+40}-292089\cdot 167^{78k+39}-13285\cdot 167^{77k+39}\\||+16127\cdot 167^{76k+38}+13757\cdot 167^{75k+38}+235897\cdot 167^{74k+37}+13117\cdot 167^{73k+37}+25443\cdot 167^{72k+36}\\||-8367\cdot 167^{71k+36}-153053\cdot 167^{70k+35}-6793\cdot 167^{69k+35}+39545\cdot 167^{68k+34}+10857\cdot 167^{67k+34}\\||+139983\cdot 167^{66k+33}+2017\cdot 167^{65k+33}-139647\cdot 167^{64k+32}-19613\cdot 167^{63k+32}-230777\cdot 167^{62k+31}\\||-4743\cdot 167^{61k+31}+176217\cdot 167^{60k+30}+27281\cdot 167^{59k+30}+360979\cdot 167^{58k+29}+14069\cdot 167^{57k+29}\\||-101363\cdot 167^{56k+28}-26697\cdot 167^{55k+28}-423843\cdot 167^{54k+27}-23137\cdot 167^{53k+27}-37723\cdot 167^{52k+26}\\||+17409\cdot 167^{51k+26}+360383\cdot 167^{50k+25}+24297\cdot 167^{49k+25}+129653\cdot 167^{48k+24}-6345\cdot 167^{47k+24}\\||-210429\cdot 167^{46k+23}-15969\cdot 167^{45k+23}-101627\cdot 167^{44k+22}+1591\cdot 167^{43k+22}+82261\cdot 167^{42k+21}\\||+4459\cdot 167^{41k+21}-17447\cdot 167^{40k+20}-5803\cdot 167^{39k+20}-62681\cdot 167^{38k+19}+1625\cdot 167^{37k+19}\\||+125303\cdot 167^{36k+18}+13893\cdot 167^{35k+18}+138503\cdot 167^{34k+17}+971\cdot 167^{33k+17}-136349\cdot 167^{32k+16}\\||-17771\cdot 167^{31k+16}-216735\cdot 167^{30k+15}-7927\cdot 167^{29k+15}+56961\cdot 167^{28k+14}+14315\cdot 167^{27k+14}\\||+224551\cdot 167^{26k+13}+12731\cdot 167^{25k+13}+41035\cdot 167^{24k+12}-6551\cdot 167^{23k+12}-158129\cdot 167^{22k+11}\\||-12095\cdot 167^{21k+11}-93199\cdot 167^{20k+10}-531\cdot 167^{19k+10}+62709\cdot 167^{18k+9}+7107\cdot 167^{17k+9}\\||+79629\cdot 167^{16k+8}+3279\cdot 167^{15k+8}+1869\cdot 167^{14k+7}-1969\cdot 167^{13k+7}-33807\cdot 167^{12k+6}\\||-2101\cdot 167^{11k+6}-14085\cdot 167^{10k+5}-185\cdot 167^{9k+5}+4127\cdot 167^{8k+4}+437\cdot 167^{7k+4}\\||+4373\cdot 167^{6k+3}+191\cdot 167^{5k+3}+1065\cdot 167^{4k+2}+27\cdot 167^{3k+2}+83\cdot 167^{2k+1}\\||+167^{k+1}+1)\\{\large\Phi}_{340}(170^{2k+1})|=|170^{256k+128}+170^{252k+126}-170^{236k+118}-170^{232k+116}+170^{216k+108}\\||+170^{212k+106}-170^{196k+98}-170^{192k+96}-170^{188k+94}-170^{184k+92}\\||+170^{176k+88}+170^{172k+86}+170^{168k+84}+170^{164k+82}-170^{156k+78}\\||-170^{152k+76}-170^{148k+74}-170^{144k+72}+170^{136k+68}+170^{132k+66}\\||+170^{128k+64}+170^{124k+62}+170^{120k+60}-170^{112k+56}-170^{108k+54}\\||-170^{104k+52}-170^{100k+50}+170^{92k+46}+170^{88k+44}+170^{84k+42}\\||+170^{80k+40}-170^{72k+36}-170^{68k+34}-170^{64k+32}-170^{60k+30}\\||+170^{44k+22}+170^{40k+20}-170^{24k+12}-170^{20k+10}+170^{4k+2}+1\\|=|(170^{128k+64}-170^{127k+64}+85\cdot 170^{126k+63}-28\cdot 170^{125k+63}+1148\cdot 170^{124k+62}\\||-213\cdot 170^{123k+62}+5270\cdot 170^{122k+61}-597\cdot 170^{121k+61}+8468\cdot 170^{120k+60}-412\cdot 170^{119k+60}\\||-1615\cdot 170^{118k+59}+701\cdot 170^{117k+59}-11119\cdot 170^{116k+58}+200\cdot 170^{115k+58}+15300\cdot 170^{114k+57}\\||-2590\cdot 170^{113k+57}+40620\cdot 170^{112k+56}-2223\cdot 170^{111k+56}+3910\cdot 170^{110k+55}+1473\cdot 170^{109k+55}\\||-24601\cdot 170^{108k+54}+587\cdot 170^{107k+54}+21165\cdot 170^{106k+53}-3338\cdot 170^{105k+53}+46362\cdot 170^{104k+52}\\||-2361\cdot 170^{103k+52}+10030\cdot 170^{102k+51}+86\cdot 170^{101k+51}+3282\cdot 170^{100k+50}-1369\cdot 170^{99k+50}\\||+31535\cdot 170^{98k+49}-2733\cdot 170^{97k+49}+28119\cdot 170^{96k+48}-1004\cdot 170^{95k+48}-1955\cdot 170^{94k+47}\\||+675\cdot 170^{93k+47}-1575\cdot 170^{92k+46}-1465\cdot 170^{91k+46}+43350\cdot 170^{90k+45}-4238\cdot 170^{89k+45}\\||+43111\cdot 170^{88k+44}-780\cdot 170^{87k+44}-24225\cdot 170^{86k+43}+2854\cdot 170^{85k+43}-20377\cdot 170^{84k+42}\\||-930\cdot 170^{83k+42}+33915\cdot 170^{82k+41}-2132\cdot 170^{81k+41}+38\cdot 170^{80k+40}+1951\cdot 170^{79k+40}\\||-28135\cdot 170^{78k+39}+665\cdot 170^{77k+39}+12641\cdot 170^{76k+38}-1114\cdot 170^{75k+38}-6545\cdot 170^{74k+37}\\||+2627\cdot 170^{73k+37}-47685\cdot 170^{72k+36}+2999\cdot 170^{71k+36}-18530\cdot 170^{70k+35}+230\cdot 170^{69k+35}\\||-2111\cdot 170^{68k+34}+990\cdot 170^{67k+34}-26095\cdot 170^{66k+33}+2676\cdot 170^{65k+33}-37723\cdot 170^{64k+32}\\||+2676\cdot 170^{63k+32}-26095\cdot 170^{62k+31}+990\cdot 170^{61k+31}-2111\cdot 170^{60k+30}+230\cdot 170^{59k+30}\\||-18530\cdot 170^{58k+29}+2999\cdot 170^{57k+29}-47685\cdot 170^{56k+28}+2627\cdot 170^{55k+28}-6545\cdot 170^{54k+27}\\||-1114\cdot 170^{53k+27}+12641\cdot 170^{52k+26}+665\cdot 170^{51k+26}-28135\cdot 170^{50k+25}+1951\cdot 170^{49k+25}\\||+38\cdot 170^{48k+24}-2132\cdot 170^{47k+24}+33915\cdot 170^{46k+23}-930\cdot 170^{45k+23}-20377\cdot 170^{44k+22}\\||+2854\cdot 170^{43k+22}-24225\cdot 170^{42k+21}-780\cdot 170^{41k+21}+43111\cdot 170^{40k+20}-4238\cdot 170^{39k+20}\\||+43350\cdot 170^{38k+19}-1465\cdot 170^{37k+19}-1575\cdot 170^{36k+18}+675\cdot 170^{35k+18}-1955\cdot 170^{34k+17}\\||-1004\cdot 170^{33k+17}+28119\cdot 170^{32k+16}-2733\cdot 170^{31k+16}+31535\cdot 170^{30k+15}-1369\cdot 170^{29k+15}\\||+3282\cdot 170^{28k+14}+86\cdot 170^{27k+14}+10030\cdot 170^{26k+13}-2361\cdot 170^{25k+13}+46362\cdot 170^{24k+12}\\||-3338\cdot 170^{23k+12}+21165\cdot 170^{22k+11}+587\cdot 170^{21k+11}-24601\cdot 170^{20k+10}+1473\cdot 170^{19k+10}\\||+3910\cdot 170^{18k+9}-2223\cdot 170^{17k+9}+40620\cdot 170^{16k+8}-2590\cdot 170^{15k+8}+15300\cdot 170^{14k+7}\\||+200\cdot 170^{13k+7}-11119\cdot 170^{12k+6}+701\cdot 170^{11k+6}-1615\cdot 170^{10k+5}-412\cdot 170^{9k+5}\\||+8468\cdot 170^{8k+4}-597\cdot 170^{7k+4}+5270\cdot 170^{6k+3}-213\cdot 170^{5k+3}+1148\cdot 170^{4k+2}\\||-28\cdot 170^{3k+2}+85\cdot 170^{2k+1}-170^{k+1}+1)\\|\times|(170^{128k+64}+170^{127k+64}+85\cdot 170^{126k+63}+28\cdot 170^{125k+63}+1148\cdot 170^{124k+62}\\||+213\cdot 170^{123k+62}+5270\cdot 170^{122k+61}+597\cdot 170^{121k+61}+8468\cdot 170^{120k+60}+412\cdot 170^{119k+60}\\||-1615\cdot 170^{118k+59}-701\cdot 170^{117k+59}-11119\cdot 170^{116k+58}-200\cdot 170^{115k+58}+15300\cdot 170^{114k+57}\\||+2590\cdot 170^{113k+57}+40620\cdot 170^{112k+56}+2223\cdot 170^{111k+56}+3910\cdot 170^{110k+55}-1473\cdot 170^{109k+55}\\||-24601\cdot 170^{108k+54}-587\cdot 170^{107k+54}+21165\cdot 170^{106k+53}+3338\cdot 170^{105k+53}+46362\cdot 170^{104k+52}\\||+2361\cdot 170^{103k+52}+10030\cdot 170^{102k+51}-86\cdot 170^{101k+51}+3282\cdot 170^{100k+50}+1369\cdot 170^{99k+50}\\||+31535\cdot 170^{98k+49}+2733\cdot 170^{97k+49}+28119\cdot 170^{96k+48}+1004\cdot 170^{95k+48}-1955\cdot 170^{94k+47}\\||-675\cdot 170^{93k+47}-1575\cdot 170^{92k+46}+1465\cdot 170^{91k+46}+43350\cdot 170^{90k+45}+4238\cdot 170^{89k+45}\\||+43111\cdot 170^{88k+44}+780\cdot 170^{87k+44}-24225\cdot 170^{86k+43}-2854\cdot 170^{85k+43}-20377\cdot 170^{84k+42}\\||+930\cdot 170^{83k+42}+33915\cdot 170^{82k+41}+2132\cdot 170^{81k+41}+38\cdot 170^{80k+40}-1951\cdot 170^{79k+40}\\||-28135\cdot 170^{78k+39}-665\cdot 170^{77k+39}+12641\cdot 170^{76k+38}+1114\cdot 170^{75k+38}-6545\cdot 170^{74k+37}\\||-2627\cdot 170^{73k+37}-47685\cdot 170^{72k+36}-2999\cdot 170^{71k+36}-18530\cdot 170^{70k+35}-230\cdot 170^{69k+35}\\||-2111\cdot 170^{68k+34}-990\cdot 170^{67k+34}-26095\cdot 170^{66k+33}-2676\cdot 170^{65k+33}-37723\cdot 170^{64k+32}\\||-2676\cdot 170^{63k+32}-26095\cdot 170^{62k+31}-990\cdot 170^{61k+31}-2111\cdot 170^{60k+30}-230\cdot 170^{59k+30}\\||-18530\cdot 170^{58k+29}-2999\cdot 170^{57k+29}-47685\cdot 170^{56k+28}-2627\cdot 170^{55k+28}-6545\cdot 170^{54k+27}\\||+1114\cdot 170^{53k+27}+12641\cdot 170^{52k+26}-665\cdot 170^{51k+26}-28135\cdot 170^{50k+25}-1951\cdot 170^{49k+25}\\||+38\cdot 170^{48k+24}+2132\cdot 170^{47k+24}+33915\cdot 170^{46k+23}+930\cdot 170^{45k+23}-20377\cdot 170^{44k+22}\\||-2854\cdot 170^{43k+22}-24225\cdot 170^{42k+21}+780\cdot 170^{41k+21}+43111\cdot 170^{40k+20}+4238\cdot 170^{39k+20}\\||+43350\cdot 170^{38k+19}+1465\cdot 170^{37k+19}-1575\cdot 170^{36k+18}-675\cdot 170^{35k+18}-1955\cdot 170^{34k+17}\\||+1004\cdot 170^{33k+17}+28119\cdot 170^{32k+16}+2733\cdot 170^{31k+16}+31535\cdot 170^{30k+15}+1369\cdot 170^{29k+15}\\||+3282\cdot 170^{28k+14}-86\cdot 170^{27k+14}+10030\cdot 170^{26k+13}+2361\cdot 170^{25k+13}+46362\cdot 170^{24k+12}\\||+3338\cdot 170^{23k+12}+21165\cdot 170^{22k+11}-587\cdot 170^{21k+11}-24601\cdot 170^{20k+10}-1473\cdot 170^{19k+10}\\||+3910\cdot 170^{18k+9}+2223\cdot 170^{17k+9}+40620\cdot 170^{16k+8}+2590\cdot 170^{15k+8}+15300\cdot 170^{14k+7}\\||-200\cdot 170^{13k+7}-11119\cdot 170^{12k+6}-701\cdot 170^{11k+6}-1615\cdot 170^{10k+5}+412\cdot 170^{9k+5}\\||+8468\cdot 170^{8k+4}+597\cdot 170^{7k+4}+5270\cdot 170^{6k+3}+213\cdot 170^{5k+3}+1148\cdot 170^{4k+2}\\||+28\cdot 170^{3k+2}+85\cdot 170^{2k+1}+170^{k+1}+1)\end{eqnarray}%%
Φ173(1732k+1)⋯Φ348(1742k+1)Φ173(1732k+1)⋯Φ348(1742k+1)
%%\begin{eqnarray}{\large\Phi}_{173}(173^{2k+1})|=|173^{344k+172}+173^{342k+171}+173^{340k+170}+173^{338k+169}+173^{336k+168}\\||+173^{334k+167}+173^{332k+166}+173^{330k+165}+173^{328k+164}+173^{326k+163}\\||+173^{324k+162}+173^{322k+161}+173^{320k+160}+173^{318k+159}+173^{316k+158}\\||+173^{314k+157}+173^{312k+156}+173^{310k+155}+173^{308k+154}+173^{306k+153}\\||+173^{304k+152}+173^{302k+151}+173^{300k+150}+173^{298k+149}+173^{296k+148}\\||+173^{294k+147}+173^{292k+146}+173^{290k+145}+173^{288k+144}+173^{286k+143}\\||+173^{284k+142}+173^{282k+141}+173^{280k+140}+173^{278k+139}+173^{276k+138}\\||+173^{274k+137}+173^{272k+136}+173^{270k+135}+173^{268k+134}+173^{266k+133}\\||+173^{264k+132}+173^{262k+131}+173^{260k+130}+173^{258k+129}+173^{256k+128}\\||+173^{254k+127}+173^{252k+126}+173^{250k+125}+173^{248k+124}+173^{246k+123}\\||+173^{244k+122}+173^{242k+121}+173^{240k+120}+173^{238k+119}+173^{236k+118}\\||+173^{234k+117}+173^{232k+116}+173^{230k+115}+173^{228k+114}+173^{226k+113}\\||+173^{224k+112}+173^{222k+111}+173^{220k+110}+173^{218k+109}+173^{216k+108}\\||+173^{214k+107}+173^{212k+106}+173^{210k+105}+173^{208k+104}+173^{206k+103}\\||+173^{204k+102}+173^{202k+101}+173^{200k+100}+173^{198k+99}+173^{196k+98}\\||+173^{194k+97}+173^{192k+96}+173^{190k+95}+173^{188k+94}+173^{186k+93}\\||+173^{184k+92}+173^{182k+91}+173^{180k+90}+173^{178k+89}+173^{176k+88}\\||+173^{174k+87}+173^{172k+86}+173^{170k+85}+173^{168k+84}+173^{166k+83}\\||+173^{164k+82}+173^{162k+81}+173^{160k+80}+173^{158k+79}+173^{156k+78}\\||+173^{154k+77}+173^{152k+76}+173^{150k+75}+173^{148k+74}+173^{146k+73}\\||+173^{144k+72}+173^{142k+71}+173^{140k+70}+173^{138k+69}+173^{136k+68}\\||+173^{134k+67}+173^{132k+66}+173^{130k+65}+173^{128k+64}+173^{126k+63}\\||+173^{124k+62}+173^{122k+61}+173^{120k+60}+173^{118k+59}+173^{116k+58}\\||+173^{114k+57}+173^{112k+56}+173^{110k+55}+173^{108k+54}+173^{106k+53}\\||+173^{104k+52}+173^{102k+51}+173^{100k+50}+173^{98k+49}+173^{96k+48}\\||+173^{94k+47}+173^{92k+46}+173^{90k+45}+173^{88k+44}+173^{86k+43}\\||+173^{84k+42}+173^{82k+41}+173^{80k+40}+173^{78k+39}+173^{76k+38}\\||+173^{74k+37}+173^{72k+36}+173^{70k+35}+173^{68k+34}+173^{66k+33}\\||+173^{64k+32}+173^{62k+31}+173^{60k+30}+173^{58k+29}+173^{56k+28}\\||+173^{54k+27}+173^{52k+26}+173^{50k+25}+173^{48k+24}+173^{46k+23}\\||+173^{44k+22}+173^{42k+21}+173^{40k+20}+173^{38k+19}+173^{36k+18}\\||+173^{34k+17}+173^{32k+16}+173^{30k+15}+173^{28k+14}+173^{26k+13}\\||+173^{24k+12}+173^{22k+11}+173^{20k+10}+173^{18k+9}+173^{16k+8}\\||+173^{14k+7}+173^{12k+6}+173^{10k+5}+173^{8k+4}+173^{6k+3}\\||+173^{4k+2}+173^{2k+1}+1\\|=|(173^{172k+86}-173^{171k+86}+87\cdot 173^{170k+85}-29\cdot 173^{169k+85}+1233\cdot 173^{168k+84}\\||-235\cdot 173^{167k+84}+6131\cdot 173^{166k+83}-725\cdot 173^{165k+83}+10879\cdot 173^{164k+82}-491\cdot 173^{163k+82}\\||-6765\cdot 173^{162k+81}+2131\cdot 173^{161k+81}-50273\cdot 173^{160k+80}+4617\cdot 173^{159k+80}-45953\cdot 173^{158k+79}\\||+5\cdot 173^{157k+79}+67931\cdot 173^{156k+78}-10101\cdot 173^{155k+78}+161335\cdot 173^{154k+77}-9689\cdot 173^{153k+77}\\||+29011\cdot 173^{152k+76}+7981\cdot 173^{151k+76}-222505\cdot 173^{150k+75}+20569\cdot 173^{149k+75}-220709\cdot 173^{148k+74}\\||+6457\cdot 173^{147k+74}+88181\cdot 173^{146k+73}-17867\cdot 173^{145k+73}+305341\cdot 173^{144k+72}-21469\cdot 173^{143k+72}\\||+184195\cdot 173^{142k+71}-3655\cdot 173^{141k+71}-90495\cdot 173^{140k+70}+15955\cdot 173^{139k+70}-298583\cdot 173^{138k+69}\\||+26039\cdot 173^{137k+69}-316907\cdot 173^{136k+68}+14895\cdot 173^{135k+68}+23233\cdot 173^{134k+67}-22559\cdot 173^{133k+67}\\||+532747\cdot 173^{132k+66}-47331\cdot 173^{131k+66}+493713\cdot 173^{130k+65}-12021\cdot 173^{129k+65}-276329\cdot 173^{128k+64}\\||+48915\cdot 173^{127k+64}-791537\cdot 173^{126k+63}+49849\cdot 173^{125k+63}-288531\cdot 173^{124k+62}-12545\cdot 173^{123k+62}\\||+536751\cdot 173^{122k+61}-53895\cdot 173^{121k+61}+654379\cdot 173^{120k+60}-32561\cdot 173^{119k+60}+123373\cdot 173^{118k+59}\\||+13467\cdot 173^{117k+59}-422047\cdot 173^{116k+58}+44363\cdot 173^{115k+58}-635229\cdot 173^{114k+57}+41391\cdot 173^{113k+57}\\||-290847\cdot 173^{112k+56}-7447\cdot 173^{111k+56}+524949\cdot 173^{110k+55}-63959\cdot 173^{109k+55}+904983\cdot 173^{108k+54}\\||-49725\cdot 173^{107k+54}+150839\cdot 173^{106k+53}+32749\cdot 173^{105k+53}-875267\cdot 173^{104k+52}+77425\cdot 173^{103k+52}\\||-815507\cdot 173^{102k+51}+26889\cdot 173^{101k+51}+194993\cdot 173^{100k+50}-49313\cdot 173^{99k+50}+880919\cdot 173^{98k+49}\\||-64649\cdot 173^{97k+49}+591515\cdot 173^{96k+48}-14255\cdot 173^{95k+48}-257525\cdot 173^{94k+47}+48339\cdot 173^{93k+47}\\||-849653\cdot 173^{92k+46}+63149\cdot 173^{91k+46}-564983\cdot 173^{90k+45}+8651\cdot 173^{89k+45}+391721\cdot 173^{88k+44}\\||-59873\cdot 173^{87k+44}+937115\cdot 173^{86k+43}-59873\cdot 173^{85k+43}+391721\cdot 173^{84k+42}+8651\cdot 173^{83k+42}\\||-564983\cdot 173^{82k+41}+63149\cdot 173^{81k+41}-849653\cdot 173^{80k+40}+48339\cdot 173^{79k+40}-257525\cdot 173^{78k+39}\\||-14255\cdot 173^{77k+39}+591515\cdot 173^{76k+38}-64649\cdot 173^{75k+38}+880919\cdot 173^{74k+37}-49313\cdot 173^{73k+37}\\||+194993\cdot 173^{72k+36}+26889\cdot 173^{71k+36}-815507\cdot 173^{70k+35}+77425\cdot 173^{69k+35}-875267\cdot 173^{68k+34}\\||+32749\cdot 173^{67k+34}+150839\cdot 173^{66k+33}-49725\cdot 173^{65k+33}+904983\cdot 173^{64k+32}-63959\cdot 173^{63k+32}\\||+524949\cdot 173^{62k+31}-7447\cdot 173^{61k+31}-290847\cdot 173^{60k+30}+41391\cdot 173^{59k+30}-635229\cdot 173^{58k+29}\\||+44363\cdot 173^{57k+29}-422047\cdot 173^{56k+28}+13467\cdot 173^{55k+28}+123373\cdot 173^{54k+27}-32561\cdot 173^{53k+27}\\||+654379\cdot 173^{52k+26}-53895\cdot 173^{51k+26}+536751\cdot 173^{50k+25}-12545\cdot 173^{49k+25}-288531\cdot 173^{48k+24}\\||+49849\cdot 173^{47k+24}-791537\cdot 173^{46k+23}+48915\cdot 173^{45k+23}-276329\cdot 173^{44k+22}-12021\cdot 173^{43k+22}\\||+493713\cdot 173^{42k+21}-47331\cdot 173^{41k+21}+532747\cdot 173^{40k+20}-22559\cdot 173^{39k+20}+23233\cdot 173^{38k+19}\\||+14895\cdot 173^{37k+19}-316907\cdot 173^{36k+18}+26039\cdot 173^{35k+18}-298583\cdot 173^{34k+17}+15955\cdot 173^{33k+17}\\||-90495\cdot 173^{32k+16}-3655\cdot 173^{31k+16}+184195\cdot 173^{30k+15}-21469\cdot 173^{29k+15}+305341\cdot 173^{28k+14}\\||-17867\cdot 173^{27k+14}+88181\cdot 173^{26k+13}+6457\cdot 173^{25k+13}-220709\cdot 173^{24k+12}+20569\cdot 173^{23k+12}\\||-222505\cdot 173^{22k+11}+7981\cdot 173^{21k+11}+29011\cdot 173^{20k+10}-9689\cdot 173^{19k+10}+161335\cdot 173^{18k+9}\\||-10101\cdot 173^{17k+9}+67931\cdot 173^{16k+8}+5\cdot 173^{15k+8}-45953\cdot 173^{14k+7}+4617\cdot 173^{13k+7}\\||-50273\cdot 173^{12k+6}+2131\cdot 173^{11k+6}-6765\cdot 173^{10k+5}-491\cdot 173^{9k+5}+10879\cdot 173^{8k+4}\\||-725\cdot 173^{7k+4}+6131\cdot 173^{6k+3}-235\cdot 173^{5k+3}+1233\cdot 173^{4k+2}-29\cdot 173^{3k+2}\\||+87\cdot 173^{2k+1}-173^{k+1}+1)\\|\times|(173^{172k+86}+173^{171k+86}+87\cdot 173^{170k+85}+29\cdot 173^{169k+85}+1233\cdot 173^{168k+84}\\||+235\cdot 173^{167k+84}+6131\cdot 173^{166k+83}+725\cdot 173^{165k+83}+10879\cdot 173^{164k+82}+491\cdot 173^{163k+82}\\||-6765\cdot 173^{162k+81}-2131\cdot 173^{161k+81}-50273\cdot 173^{160k+80}-4617\cdot 173^{159k+80}-45953\cdot 173^{158k+79}\\||-5\cdot 173^{157k+79}+67931\cdot 173^{156k+78}+10101\cdot 173^{155k+78}+161335\cdot 173^{154k+77}+9689\cdot 173^{153k+77}\\||+29011\cdot 173^{152k+76}-7981\cdot 173^{151k+76}-222505\cdot 173^{150k+75}-20569\cdot 173^{149k+75}-220709\cdot 173^{148k+74}\\||-6457\cdot 173^{147k+74}+88181\cdot 173^{146k+73}+17867\cdot 173^{145k+73}+305341\cdot 173^{144k+72}+21469\cdot 173^{143k+72}\\||+184195\cdot 173^{142k+71}+3655\cdot 173^{141k+71}-90495\cdot 173^{140k+70}-15955\cdot 173^{139k+70}-298583\cdot 173^{138k+69}\\||-26039\cdot 173^{137k+69}-316907\cdot 173^{136k+68}-14895\cdot 173^{135k+68}+23233\cdot 173^{134k+67}+22559\cdot 173^{133k+67}\\||+532747\cdot 173^{132k+66}+47331\cdot 173^{131k+66}+493713\cdot 173^{130k+65}+12021\cdot 173^{129k+65}-276329\cdot 173^{128k+64}\\||-48915\cdot 173^{127k+64}-791537\cdot 173^{126k+63}-49849\cdot 173^{125k+63}-288531\cdot 173^{124k+62}+12545\cdot 173^{123k+62}\\||+536751\cdot 173^{122k+61}+53895\cdot 173^{121k+61}+654379\cdot 173^{120k+60}+32561\cdot 173^{119k+60}+123373\cdot 173^{118k+59}\\||-13467\cdot 173^{117k+59}-422047\cdot 173^{116k+58}-44363\cdot 173^{115k+58}-635229\cdot 173^{114k+57}-41391\cdot 173^{113k+57}\\||-290847\cdot 173^{112k+56}+7447\cdot 173^{111k+56}+524949\cdot 173^{110k+55}+63959\cdot 173^{109k+55}+904983\cdot 173^{108k+54}\\||+49725\cdot 173^{107k+54}+150839\cdot 173^{106k+53}-32749\cdot 173^{105k+53}-875267\cdot 173^{104k+52}-77425\cdot 173^{103k+52}\\||-815507\cdot 173^{102k+51}-26889\cdot 173^{101k+51}+194993\cdot 173^{100k+50}+49313\cdot 173^{99k+50}+880919\cdot 173^{98k+49}\\||+64649\cdot 173^{97k+49}+591515\cdot 173^{96k+48}+14255\cdot 173^{95k+48}-257525\cdot 173^{94k+47}-48339\cdot 173^{93k+47}\\||-849653\cdot 173^{92k+46}-63149\cdot 173^{91k+46}-564983\cdot 173^{90k+45}-8651\cdot 173^{89k+45}+391721\cdot 173^{88k+44}\\||+59873\cdot 173^{87k+44}+937115\cdot 173^{86k+43}+59873\cdot 173^{85k+43}+391721\cdot 173^{84k+42}-8651\cdot 173^{83k+42}\\||-564983\cdot 173^{82k+41}-63149\cdot 173^{81k+41}-849653\cdot 173^{80k+40}-48339\cdot 173^{79k+40}-257525\cdot 173^{78k+39}\\||+14255\cdot 173^{77k+39}+591515\cdot 173^{76k+38}+64649\cdot 173^{75k+38}+880919\cdot 173^{74k+37}+49313\cdot 173^{73k+37}\\||+194993\cdot 173^{72k+36}-26889\cdot 173^{71k+36}-815507\cdot 173^{70k+35}-77425\cdot 173^{69k+35}-875267\cdot 173^{68k+34}\\||-32749\cdot 173^{67k+34}+150839\cdot 173^{66k+33}+49725\cdot 173^{65k+33}+904983\cdot 173^{64k+32}+63959\cdot 173^{63k+32}\\||+524949\cdot 173^{62k+31}+7447\cdot 173^{61k+31}-290847\cdot 173^{60k+30}-41391\cdot 173^{59k+30}-635229\cdot 173^{58k+29}\\||-44363\cdot 173^{57k+29}-422047\cdot 173^{56k+28}-13467\cdot 173^{55k+28}+123373\cdot 173^{54k+27}+32561\cdot 173^{53k+27}\\||+654379\cdot 173^{52k+26}+53895\cdot 173^{51k+26}+536751\cdot 173^{50k+25}+12545\cdot 173^{49k+25}-288531\cdot 173^{48k+24}\\||-49849\cdot 173^{47k+24}-791537\cdot 173^{46k+23}-48915\cdot 173^{45k+23}-276329\cdot 173^{44k+22}+12021\cdot 173^{43k+22}\\||+493713\cdot 173^{42k+21}+47331\cdot 173^{41k+21}+532747\cdot 173^{40k+20}+22559\cdot 173^{39k+20}+23233\cdot 173^{38k+19}\\||-14895\cdot 173^{37k+19}-316907\cdot 173^{36k+18}-26039\cdot 173^{35k+18}-298583\cdot 173^{34k+17}-15955\cdot 173^{33k+17}\\||-90495\cdot 173^{32k+16}+3655\cdot 173^{31k+16}+184195\cdot 173^{30k+15}+21469\cdot 173^{29k+15}+305341\cdot 173^{28k+14}\\||+17867\cdot 173^{27k+14}+88181\cdot 173^{26k+13}-6457\cdot 173^{25k+13}-220709\cdot 173^{24k+12}-20569\cdot 173^{23k+12}\\||-222505\cdot 173^{22k+11}-7981\cdot 173^{21k+11}+29011\cdot 173^{20k+10}+9689\cdot 173^{19k+10}+161335\cdot 173^{18k+9}\\||+10101\cdot 173^{17k+9}+67931\cdot 173^{16k+8}-5\cdot 173^{15k+8}-45953\cdot 173^{14k+7}-4617\cdot 173^{13k+7}\\||-50273\cdot 173^{12k+6}-2131\cdot 173^{11k+6}-6765\cdot 173^{10k+5}+491\cdot 173^{9k+5}+10879\cdot 173^{8k+4}\\||+725\cdot 173^{7k+4}+6131\cdot 173^{6k+3}+235\cdot 173^{5k+3}+1233\cdot 173^{4k+2}+29\cdot 173^{3k+2}\\||+87\cdot 173^{2k+1}+173^{k+1}+1)\\{\large\Phi}_{348}(174^{2k+1})|=|174^{224k+112}+174^{220k+110}-174^{212k+106}-174^{208k+104}+174^{200k+100}\\||+174^{196k+98}-174^{188k+94}-174^{184k+92}+174^{176k+88}+174^{172k+86}\\||-174^{164k+82}-174^{160k+80}+174^{152k+76}+174^{148k+74}-174^{140k+70}\\||-174^{136k+68}+174^{128k+64}+174^{124k+62}-174^{116k+58}-174^{112k+56}\\||-174^{108k+54}+174^{100k+50}+174^{96k+48}-174^{88k+44}-174^{84k+42}\\||+174^{76k+38}+174^{72k+36}-174^{64k+32}-174^{60k+30}+174^{52k+26}\\||+174^{48k+24}-174^{40k+20}-174^{36k+18}+174^{28k+14}+174^{24k+12}\\||-174^{16k+8}-174^{12k+6}+174^{4k+2}+1\\|=|(174^{112k+56}-174^{111k+56}+87\cdot 174^{110k+55}-29\cdot 174^{109k+55}+1262\cdot 174^{108k+54}\\||-253\cdot 174^{107k+54}+7395\cdot 174^{106k+53}-1077\cdot 174^{105k+53}+24349\cdot 174^{104k+52}-2892\cdot 174^{103k+52}\\||+55680\cdot 174^{102k+51}-5810\cdot 174^{101k+51}+100055\cdot 174^{100k+50}-9413\cdot 174^{99k+50}+146769\cdot 174^{98k+49}\\||-12575\cdot 174^{97k+49}+180070\cdot 174^{96k+48}-14271\cdot 174^{95k+48}+189225\cdot 174^{94k+47}-13797\cdot 174^{93k+47}\\||+166583\cdot 174^{92k+46}-10954\cdot 174^{91k+46}+117972\cdot 174^{90k+45}-6728\cdot 174^{89k+45}+57721\cdot 174^{88k+44}\\||-1971\cdot 174^{87k+44}-4089\cdot 174^{86k+43}+2241\cdot 174^{85k+43}-48490\cdot 174^{84k+42}+4608\cdot 174^{83k+42}\\||-66903\cdot 174^{82k+41}+5006\cdot 174^{81k+41}-56141\cdot 174^{80k+40}+2738\cdot 174^{79k+40}-7482\cdot 174^{78k+39}\\||-2013\cdot 174^{77k+39}+63629\cdot 174^{76k+38}-7824\cdot 174^{75k+38}+144681\cdot 174^{74k+37}-14029\cdot 174^{73k+37}\\||+219346\cdot 174^{72k+36}-18470\cdot 174^{71k+36}+257259\cdot 174^{70k+35}-19828\cdot 174^{69k+35}+256817\cdot 174^{68k+34}\\||-18306\cdot 174^{67k+34}+214542\cdot 174^{66k+33}-13527\cdot 174^{65k+33}+138295\cdot 174^{64k+32}-7462\cdot 174^{63k+32}\\||+59943\cdot 174^{62k+31}-1693\cdot 174^{61k+31}-13114\cdot 174^{60k+30}+3224\cdot 174^{59k+30}-62379\cdot 174^{58k+29}\\||+5496\cdot 174^{57k+29}-75365\cdot 174^{56k+28}+5496\cdot 174^{55k+28}-62379\cdot 174^{54k+27}+3224\cdot 174^{53k+27}\\||-13114\cdot 174^{52k+26}-1693\cdot 174^{51k+26}+59943\cdot 174^{50k+25}-7462\cdot 174^{49k+25}+138295\cdot 174^{48k+24}\\||-13527\cdot 174^{47k+24}+214542\cdot 174^{46k+23}-18306\cdot 174^{45k+23}+256817\cdot 174^{44k+22}-19828\cdot 174^{43k+22}\\||+257259\cdot 174^{42k+21}-18470\cdot 174^{41k+21}+219346\cdot 174^{40k+20}-14029\cdot 174^{39k+20}+144681\cdot 174^{38k+19}\\||-7824\cdot 174^{37k+19}+63629\cdot 174^{36k+18}-2013\cdot 174^{35k+18}-7482\cdot 174^{34k+17}+2738\cdot 174^{33k+17}\\||-56141\cdot 174^{32k+16}+5006\cdot 174^{31k+16}-66903\cdot 174^{30k+15}+4608\cdot 174^{29k+15}-48490\cdot 174^{28k+14}\\||+2241\cdot 174^{27k+14}-4089\cdot 174^{26k+13}-1971\cdot 174^{25k+13}+57721\cdot 174^{24k+12}-6728\cdot 174^{23k+12}\\||+117972\cdot 174^{22k+11}-10954\cdot 174^{21k+11}+166583\cdot 174^{20k+10}-13797\cdot 174^{19k+10}+189225\cdot 174^{18k+9}\\||-14271\cdot 174^{17k+9}+180070\cdot 174^{16k+8}-12575\cdot 174^{15k+8}+146769\cdot 174^{14k+7}-9413\cdot 174^{13k+7}\\||+100055\cdot 174^{12k+6}-5810\cdot 174^{11k+6}+55680\cdot 174^{10k+5}-2892\cdot 174^{9k+5}+24349\cdot 174^{8k+4}\\||-1077\cdot 174^{7k+4}+7395\cdot 174^{6k+3}-253\cdot 174^{5k+3}+1262\cdot 174^{4k+2}-29\cdot 174^{3k+2}\\||+87\cdot 174^{2k+1}-174^{k+1}+1)\\|\times|(174^{112k+56}+174^{111k+56}+87\cdot 174^{110k+55}+29\cdot 174^{109k+55}+1262\cdot 174^{108k+54}\\||+253\cdot 174^{107k+54}+7395\cdot 174^{106k+53}+1077\cdot 174^{105k+53}+24349\cdot 174^{104k+52}+2892\cdot 174^{103k+52}\\||+55680\cdot 174^{102k+51}+5810\cdot 174^{101k+51}+100055\cdot 174^{100k+50}+9413\cdot 174^{99k+50}+146769\cdot 174^{98k+49}\\||+12575\cdot 174^{97k+49}+180070\cdot 174^{96k+48}+14271\cdot 174^{95k+48}+189225\cdot 174^{94k+47}+13797\cdot 174^{93k+47}\\||+166583\cdot 174^{92k+46}+10954\cdot 174^{91k+46}+117972\cdot 174^{90k+45}+6728\cdot 174^{89k+45}+57721\cdot 174^{88k+44}\\||+1971\cdot 174^{87k+44}-4089\cdot 174^{86k+43}-2241\cdot 174^{85k+43}-48490\cdot 174^{84k+42}-4608\cdot 174^{83k+42}\\||-66903\cdot 174^{82k+41}-5006\cdot 174^{81k+41}-56141\cdot 174^{80k+40}-2738\cdot 174^{79k+40}-7482\cdot 174^{78k+39}\\||+2013\cdot 174^{77k+39}+63629\cdot 174^{76k+38}+7824\cdot 174^{75k+38}+144681\cdot 174^{74k+37}+14029\cdot 174^{73k+37}\\||+219346\cdot 174^{72k+36}+18470\cdot 174^{71k+36}+257259\cdot 174^{70k+35}+19828\cdot 174^{69k+35}+256817\cdot 174^{68k+34}\\||+18306\cdot 174^{67k+34}+214542\cdot 174^{66k+33}+13527\cdot 174^{65k+33}+138295\cdot 174^{64k+32}+7462\cdot 174^{63k+32}\\||+59943\cdot 174^{62k+31}+1693\cdot 174^{61k+31}-13114\cdot 174^{60k+30}-3224\cdot 174^{59k+30}-62379\cdot 174^{58k+29}\\||-5496\cdot 174^{57k+29}-75365\cdot 174^{56k+28}-5496\cdot 174^{55k+28}-62379\cdot 174^{54k+27}-3224\cdot 174^{53k+27}\\||-13114\cdot 174^{52k+26}+1693\cdot 174^{51k+26}+59943\cdot 174^{50k+25}+7462\cdot 174^{49k+25}+138295\cdot 174^{48k+24}\\||+13527\cdot 174^{47k+24}+214542\cdot 174^{46k+23}+18306\cdot 174^{45k+23}+256817\cdot 174^{44k+22}+19828\cdot 174^{43k+22}\\||+257259\cdot 174^{42k+21}+18470\cdot 174^{41k+21}+219346\cdot 174^{40k+20}+14029\cdot 174^{39k+20}+144681\cdot 174^{38k+19}\\||+7824\cdot 174^{37k+19}+63629\cdot 174^{36k+18}+2013\cdot 174^{35k+18}-7482\cdot 174^{34k+17}-2738\cdot 174^{33k+17}\\||-56141\cdot 174^{32k+16}-5006\cdot 174^{31k+16}-66903\cdot 174^{30k+15}-4608\cdot 174^{29k+15}-48490\cdot 174^{28k+14}\\||-2241\cdot 174^{27k+14}-4089\cdot 174^{26k+13}+1971\cdot 174^{25k+13}+57721\cdot 174^{24k+12}+6728\cdot 174^{23k+12}\\||+117972\cdot 174^{22k+11}+10954\cdot 174^{21k+11}+166583\cdot 174^{20k+10}+13797\cdot 174^{19k+10}+189225\cdot 174^{18k+9}\\||+14271\cdot 174^{17k+9}+180070\cdot 174^{16k+8}+12575\cdot 174^{15k+8}+146769\cdot 174^{14k+7}+9413\cdot 174^{13k+7}\\||+100055\cdot 174^{12k+6}+5810\cdot 174^{11k+6}+55680\cdot 174^{10k+5}+2892\cdot 174^{9k+5}+24349\cdot 174^{8k+4}\\||+1077\cdot 174^{7k+4}+7395\cdot 174^{6k+3}+253\cdot 174^{5k+3}+1262\cdot 174^{4k+2}+29\cdot 174^{3k+2}\\||+87\cdot 174^{2k+1}+174^{k+1}+1)\end{eqnarray}%%
Φ177(1772k+1)⋯Φ358(1792k+1)Φ177(1772k+1)⋯Φ358(1792k+1)
%%\begin{eqnarray}{\large\Phi}_{177}(177^{2k+1})|=|177^{232k+116}-177^{230k+115}+177^{226k+113}-177^{224k+112}+177^{220k+110}\\||-177^{218k+109}+177^{214k+107}-177^{212k+106}+177^{208k+104}-177^{206k+103}\\||+177^{202k+101}-177^{200k+100}+177^{196k+98}-177^{194k+97}+177^{190k+95}\\||-177^{188k+94}+177^{184k+92}-177^{182k+91}+177^{178k+89}-177^{176k+88}\\||+177^{172k+86}-177^{170k+85}+177^{166k+83}-177^{164k+82}+177^{160k+80}\\||-177^{158k+79}+177^{154k+77}-177^{152k+76}+177^{148k+74}-177^{146k+73}\\||+177^{142k+71}-177^{140k+70}+177^{136k+68}-177^{134k+67}+177^{130k+65}\\||-177^{128k+64}+177^{124k+62}-177^{122k+61}+177^{118k+59}-177^{116k+58}\\||+177^{114k+57}-177^{110k+55}+177^{108k+54}-177^{104k+52}+177^{102k+51}\\||-177^{98k+49}+177^{96k+48}-177^{92k+46}+177^{90k+45}-177^{86k+43}\\||+177^{84k+42}-177^{80k+40}+177^{78k+39}-177^{74k+37}+177^{72k+36}\\||-177^{68k+34}+177^{66k+33}-177^{62k+31}+177^{60k+30}-177^{56k+28}\\||+177^{54k+27}-177^{50k+25}+177^{48k+24}-177^{44k+22}+177^{42k+21}\\||-177^{38k+19}+177^{36k+18}-177^{32k+16}+177^{30k+15}-177^{26k+13}\\||+177^{24k+12}-177^{20k+10}+177^{18k+9}-177^{14k+7}+177^{12k+6}\\||-177^{8k+4}+177^{6k+3}-177^{2k+1}+1\\|=|(177^{116k+58}-177^{115k+58}+88\cdot 177^{114k+57}-29\cdot 177^{113k+57}+1261\cdot 177^{112k+56}\\||-246\cdot 177^{111k+56}+7003\cdot 177^{110k+55}-949\cdot 177^{109k+55}+19366\cdot 177^{108k+54}-1895\cdot 177^{107k+54}\\||+27307\cdot 177^{106k+53}-1744\cdot 177^{105k+53}+12535\cdot 177^{104k+52}+135\cdot 177^{103k+52}-13970\cdot 177^{102k+51}\\||+1313\cdot 177^{101k+51}-8447\cdot 177^{100k+50}-860\cdot 177^{99k+50}+34585\cdot 177^{98k+49}-3765\cdot 177^{97k+49}\\||+48706\cdot 177^{96k+48}-2083\cdot 177^{95k+48}-6779\cdot 177^{94k+47}+3126\cdot 177^{93k+47}-61817\cdot 177^{92k+46}\\||+4319\cdot 177^{91k+46}-28256\cdot 177^{90k+45}-1169\cdot 177^{89k+45}+57049\cdot 177^{88k+44}-5982\cdot 177^{87k+44}\\||+73879\cdot 177^{86k+43}-3167\cdot 177^{85k+43}-2708\cdot 177^{84k+42}+3185\cdot 177^{83k+42}-61043\cdot 177^{82k+41}\\||+3916\cdot 177^{81k+41}-20759\cdot 177^{80k+40}-1399\cdot 177^{79k+40}+49150\cdot 177^{78k+39}-4425\cdot 177^{77k+39}\\||+45361\cdot 177^{76k+38}-1186\cdot 177^{75k+38}-17429\cdot 177^{74k+37}+3201\cdot 177^{73k+37}-53480\cdot 177^{72k+36}\\||+3809\cdot 177^{71k+36}-39497\cdot 177^{70k+35}+1980\cdot 177^{69k+35}-15533\cdot 177^{68k+34}+617\cdot 177^{67k+34}\\||-3320\cdot 177^{66k+33}-35\cdot 177^{65k+33}+3385\cdot 177^{64k+32}-336\cdot 177^{63k+32}+2533\cdot 177^{62k+31}\\||+193\cdot 177^{61k+31}-9314\cdot 177^{60k+30}+1131\cdot 177^{59k+30}-17291\cdot 177^{58k+29}+1131\cdot 177^{57k+29}\\||-9314\cdot 177^{56k+28}+193\cdot 177^{55k+28}+2533\cdot 177^{54k+27}-336\cdot 177^{53k+27}+3385\cdot 177^{52k+26}\\||-35\cdot 177^{51k+26}-3320\cdot 177^{50k+25}+617\cdot 177^{49k+25}-15533\cdot 177^{48k+24}+1980\cdot 177^{47k+24}\\||-39497\cdot 177^{46k+23}+3809\cdot 177^{45k+23}-53480\cdot 177^{44k+22}+3201\cdot 177^{43k+22}-17429\cdot 177^{42k+21}\\||-1186\cdot 177^{41k+21}+45361\cdot 177^{40k+20}-4425\cdot 177^{39k+20}+49150\cdot 177^{38k+19}-1399\cdot 177^{37k+19}\\||-20759\cdot 177^{36k+18}+3916\cdot 177^{35k+18}-61043\cdot 177^{34k+17}+3185\cdot 177^{33k+17}-2708\cdot 177^{32k+16}\\||-3167\cdot 177^{31k+16}+73879\cdot 177^{30k+15}-5982\cdot 177^{29k+15}+57049\cdot 177^{28k+14}-1169\cdot 177^{27k+14}\\||-28256\cdot 177^{26k+13}+4319\cdot 177^{25k+13}-61817\cdot 177^{24k+12}+3126\cdot 177^{23k+12}-6779\cdot 177^{22k+11}\\||-2083\cdot 177^{21k+11}+48706\cdot 177^{20k+10}-3765\cdot 177^{19k+10}+34585\cdot 177^{18k+9}-860\cdot 177^{17k+9}\\||-8447\cdot 177^{16k+8}+1313\cdot 177^{15k+8}-13970\cdot 177^{14k+7}+135\cdot 177^{13k+7}+12535\cdot 177^{12k+6}\\||-1744\cdot 177^{11k+6}+27307\cdot 177^{10k+5}-1895\cdot 177^{9k+5}+19366\cdot 177^{8k+4}-949\cdot 177^{7k+4}\\||+7003\cdot 177^{6k+3}-246\cdot 177^{5k+3}+1261\cdot 177^{4k+2}-29\cdot 177^{3k+2}+88\cdot 177^{2k+1}\\||-177^{k+1}+1)\\|\times|(177^{116k+58}+177^{115k+58}+88\cdot 177^{114k+57}+29\cdot 177^{113k+57}+1261\cdot 177^{112k+56}\\||+246\cdot 177^{111k+56}+7003\cdot 177^{110k+55}+949\cdot 177^{109k+55}+19366\cdot 177^{108k+54}+1895\cdot 177^{107k+54}\\||+27307\cdot 177^{106k+53}+1744\cdot 177^{105k+53}+12535\cdot 177^{104k+52}-135\cdot 177^{103k+52}-13970\cdot 177^{102k+51}\\||-1313\cdot 177^{101k+51}-8447\cdot 177^{100k+50}+860\cdot 177^{99k+50}+34585\cdot 177^{98k+49}+3765\cdot 177^{97k+49}\\||+48706\cdot 177^{96k+48}+2083\cdot 177^{95k+48}-6779\cdot 177^{94k+47}-3126\cdot 177^{93k+47}-61817\cdot 177^{92k+46}\\||-4319\cdot 177^{91k+46}-28256\cdot 177^{90k+45}+1169\cdot 177^{89k+45}+57049\cdot 177^{88k+44}+5982\cdot 177^{87k+44}\\||+73879\cdot 177^{86k+43}+3167\cdot 177^{85k+43}-2708\cdot 177^{84k+42}-3185\cdot 177^{83k+42}-61043\cdot 177^{82k+41}\\||-3916\cdot 177^{81k+41}-20759\cdot 177^{80k+40}+1399\cdot 177^{79k+40}+49150\cdot 177^{78k+39}+4425\cdot 177^{77k+39}\\||+45361\cdot 177^{76k+38}+1186\cdot 177^{75k+38}-17429\cdot 177^{74k+37}-3201\cdot 177^{73k+37}-53480\cdot 177^{72k+36}\\||-3809\cdot 177^{71k+36}-39497\cdot 177^{70k+35}-1980\cdot 177^{69k+35}-15533\cdot 177^{68k+34}-617\cdot 177^{67k+34}\\||-3320\cdot 177^{66k+33}+35\cdot 177^{65k+33}+3385\cdot 177^{64k+32}+336\cdot 177^{63k+32}+2533\cdot 177^{62k+31}\\||-193\cdot 177^{61k+31}-9314\cdot 177^{60k+30}-1131\cdot 177^{59k+30}-17291\cdot 177^{58k+29}-1131\cdot 177^{57k+29}\\||-9314\cdot 177^{56k+28}-193\cdot 177^{55k+28}+2533\cdot 177^{54k+27}+336\cdot 177^{53k+27}+3385\cdot 177^{52k+26}\\||+35\cdot 177^{51k+26}-3320\cdot 177^{50k+25}-617\cdot 177^{49k+25}-15533\cdot 177^{48k+24}-1980\cdot 177^{47k+24}\\||-39497\cdot 177^{46k+23}-3809\cdot 177^{45k+23}-53480\cdot 177^{44k+22}-3201\cdot 177^{43k+22}-17429\cdot 177^{42k+21}\\||+1186\cdot 177^{41k+21}+45361\cdot 177^{40k+20}+4425\cdot 177^{39k+20}+49150\cdot 177^{38k+19}+1399\cdot 177^{37k+19}\\||-20759\cdot 177^{36k+18}-3916\cdot 177^{35k+18}-61043\cdot 177^{34k+17}-3185\cdot 177^{33k+17}-2708\cdot 177^{32k+16}\\||+3167\cdot 177^{31k+16}+73879\cdot 177^{30k+15}+5982\cdot 177^{29k+15}+57049\cdot 177^{28k+14}+1169\cdot 177^{27k+14}\\||-28256\cdot 177^{26k+13}-4319\cdot 177^{25k+13}-61817\cdot 177^{24k+12}-3126\cdot 177^{23k+12}-6779\cdot 177^{22k+11}\\||+2083\cdot 177^{21k+11}+48706\cdot 177^{20k+10}+3765\cdot 177^{19k+10}+34585\cdot 177^{18k+9}+860\cdot 177^{17k+9}\\||-8447\cdot 177^{16k+8}-1313\cdot 177^{15k+8}-13970\cdot 177^{14k+7}-135\cdot 177^{13k+7}+12535\cdot 177^{12k+6}\\||+1744\cdot 177^{11k+6}+27307\cdot 177^{10k+5}+1895\cdot 177^{9k+5}+19366\cdot 177^{8k+4}+949\cdot 177^{7k+4}\\||+7003\cdot 177^{6k+3}+246\cdot 177^{5k+3}+1261\cdot 177^{4k+2}+29\cdot 177^{3k+2}+88\cdot 177^{2k+1}\\||+177^{k+1}+1)\\{\large\Phi}_{356}(178^{2k+1})|=|178^{352k+176}-178^{348k+174}+178^{344k+172}-178^{340k+170}+178^{336k+168}\\||-178^{332k+166}+178^{328k+164}-178^{324k+162}+178^{320k+160}-178^{316k+158}\\||+178^{312k+156}-178^{308k+154}+178^{304k+152}-178^{300k+150}+178^{296k+148}\\||-178^{292k+146}+178^{288k+144}-178^{284k+142}+178^{280k+140}-178^{276k+138}\\||+178^{272k+136}-178^{268k+134}+178^{264k+132}-178^{260k+130}+178^{256k+128}\\||-178^{252k+126}+178^{248k+124}-178^{244k+122}+178^{240k+120}-178^{236k+118}\\||+178^{232k+116}-178^{228k+114}+178^{224k+112}-178^{220k+110}+178^{216k+108}\\||-178^{212k+106}+178^{208k+104}-178^{204k+102}+178^{200k+100}-178^{196k+98}\\||+178^{192k+96}-178^{188k+94}+178^{184k+92}-178^{180k+90}+178^{176k+88}\\||-178^{172k+86}+178^{168k+84}-178^{164k+82}+178^{160k+80}-178^{156k+78}\\||+178^{152k+76}-178^{148k+74}+178^{144k+72}-178^{140k+70}+178^{136k+68}\\||-178^{132k+66}+178^{128k+64}-178^{124k+62}+178^{120k+60}-178^{116k+58}\\||+178^{112k+56}-178^{108k+54}+178^{104k+52}-178^{100k+50}+178^{96k+48}\\||-178^{92k+46}+178^{88k+44}-178^{84k+42}+178^{80k+40}-178^{76k+38}\\||+178^{72k+36}-178^{68k+34}+178^{64k+32}-178^{60k+30}+178^{56k+28}\\||-178^{52k+26}+178^{48k+24}-178^{44k+22}+178^{40k+20}-178^{36k+18}\\||+178^{32k+16}-178^{28k+14}+178^{24k+12}-178^{20k+10}+178^{16k+8}\\||-178^{12k+6}+178^{8k+4}-178^{4k+2}+1\\|=|(178^{176k+88}-178^{175k+88}+89\cdot 178^{174k+87}-30\cdot 178^{173k+87}+1379\cdot 178^{172k+86}\\||-293\cdot 178^{171k+86}+9523\cdot 178^{170k+85}-1536\cdot 178^{169k+85}+39661\cdot 178^{168k+84}-5237\cdot 178^{167k+84}\\||+112941\cdot 178^{166k+83}-12616\cdot 178^{165k+83}+231739\cdot 178^{164k+82}-22069\cdot 178^{163k+82}+343451\cdot 178^{162k+81}\\||-27240\cdot 178^{161k+81}+339917\cdot 178^{160k+80}-19757\cdot 178^{159k+80}+134301\cdot 178^{158k+79}+2722\cdot 178^{157k+79}\\||-224873\cdot 178^{156k+78}+29943\cdot 178^{155k+78}-525901\cdot 178^{154k+77}+43108\cdot 178^{153k+77}-530779\cdot 178^{152k+76}\\||+29519\cdot 178^{151k+76}-183607\cdot 178^{150k+75}-4918\cdot 178^{149k+75}+311427\cdot 178^{148k+74}-38367\cdot 178^{147k+74}\\||+633591\cdot 178^{146k+73}-49290\cdot 178^{145k+73}+582045\cdot 178^{144k+72}-31585\cdot 178^{143k+72}+203365\cdot 178^{142k+71}\\||+2686\cdot 178^{141k+71}-256825\cdot 178^{140k+70}+31673\cdot 178^{139k+70}-503829\cdot 178^{138k+69}+36300\cdot 178^{137k+69}\\||-364843\cdot 178^{136k+68}+12401\cdot 178^{135k+68}+76273\cdot 178^{134k+67}-23312\cdot 178^{133k+67}+487791\cdot 178^{132k+66}\\||-42431\cdot 178^{131k+66}+527147\cdot 178^{130k+65}-28508\cdot 178^{129k+65}+162509\cdot 178^{128k+64}+5319\cdot 178^{127k+64}\\||-260859\cdot 178^{126k+63}+27022\cdot 178^{125k+63}-348817\cdot 178^{124k+62}+17651\cdot 178^{123k+62}-57049\cdot 178^{122k+61}\\||-10138\cdot 178^{121k+61}+291125\cdot 178^{120k+60}-28139\cdot 178^{119k+60}+376381\cdot 178^{118k+59}-22912\cdot 178^{117k+59}\\||+191451\cdot 178^{116k+58}-5061\cdot 178^{115k+58}-36757\cdot 178^{114k+57}+7704\cdot 178^{113k+57}-123755\cdot 178^{112k+56}\\||+7629\cdot 178^{111k+56}-43699\cdot 178^{110k+55}-3138\cdot 178^{109k+55}+144687\cdot 178^{108k+54}-18821\cdot 178^{107k+54}\\||+342383\cdot 178^{106k+53}-29658\cdot 178^{105k+53}+388845\cdot 178^{104k+52}-23091\cdot 178^{103k+52}+155661\cdot 178^{102k+51}\\||+3456\cdot 178^{101k+51}-257509\cdot 178^{100k+50}+32283\cdot 178^{99k+50}-523409\cdot 178^{98k+49}+38374\cdot 178^{97k+49}\\||-399027\cdot 178^{96k+48}+15925\cdot 178^{95k+48}+4005\cdot 178^{94k+47}-15392\cdot 178^{93k+47}+359171\cdot 178^{92k+46}\\||-34011\cdot 178^{91k+46}+497599\cdot 178^{90k+45}-38284\cdot 178^{89k+45}+512561\cdot 178^{88k+44}-38284\cdot 178^{87k+44}\\||+497599\cdot 178^{86k+43}-34011\cdot 178^{85k+43}+359171\cdot 178^{84k+42}-15392\cdot 178^{83k+42}+4005\cdot 178^{82k+41}\\||+15925\cdot 178^{81k+41}-399027\cdot 178^{80k+40}+38374\cdot 178^{79k+40}-523409\cdot 178^{78k+39}+32283\cdot 178^{77k+39}\\||-257509\cdot 178^{76k+38}+3456\cdot 178^{75k+38}+155661\cdot 178^{74k+37}-23091\cdot 178^{73k+37}+388845\cdot 178^{72k+36}\\||-29658\cdot 178^{71k+36}+342383\cdot 178^{70k+35}-18821\cdot 178^{69k+35}+144687\cdot 178^{68k+34}-3138\cdot 178^{67k+34}\\||-43699\cdot 178^{66k+33}+7629\cdot 178^{65k+33}-123755\cdot 178^{64k+32}+7704\cdot 178^{63k+32}-36757\cdot 178^{62k+31}\\||-5061\cdot 178^{61k+31}+191451\cdot 178^{60k+30}-22912\cdot 178^{59k+30}+376381\cdot 178^{58k+29}-28139\cdot 178^{57k+29}\\||+291125\cdot 178^{56k+28}-10138\cdot 178^{55k+28}-57049\cdot 178^{54k+27}+17651\cdot 178^{53k+27}-348817\cdot 178^{52k+26}\\||+27022\cdot 178^{51k+26}-260859\cdot 178^{50k+25}+5319\cdot 178^{49k+25}+162509\cdot 178^{48k+24}-28508\cdot 178^{47k+24}\\||+527147\cdot 178^{46k+23}-42431\cdot 178^{45k+23}+487791\cdot 178^{44k+22}-23312\cdot 178^{43k+22}+76273\cdot 178^{42k+21}\\||+12401\cdot 178^{41k+21}-364843\cdot 178^{40k+20}+36300\cdot 178^{39k+20}-503829\cdot 178^{38k+19}+31673\cdot 178^{37k+19}\\||-256825\cdot 178^{36k+18}+2686\cdot 178^{35k+18}+203365\cdot 178^{34k+17}-31585\cdot 178^{33k+17}+582045\cdot 178^{32k+16}\\||-49290\cdot 178^{31k+16}+633591\cdot 178^{30k+15}-38367\cdot 178^{29k+15}+311427\cdot 178^{28k+14}-4918\cdot 178^{27k+14}\\||-183607\cdot 178^{26k+13}+29519\cdot 178^{25k+13}-530779\cdot 178^{24k+12}+43108\cdot 178^{23k+12}-525901\cdot 178^{22k+11}\\||+29943\cdot 178^{21k+11}-224873\cdot 178^{20k+10}+2722\cdot 178^{19k+10}+134301\cdot 178^{18k+9}-19757\cdot 178^{17k+9}\\||+339917\cdot 178^{16k+8}-27240\cdot 178^{15k+8}+343451\cdot 178^{14k+7}-22069\cdot 178^{13k+7}+231739\cdot 178^{12k+6}\\||-12616\cdot 178^{11k+6}+112941\cdot 178^{10k+5}-5237\cdot 178^{9k+5}+39661\cdot 178^{8k+4}-1536\cdot 178^{7k+4}\\||+9523\cdot 178^{6k+3}-293\cdot 178^{5k+3}+1379\cdot 178^{4k+2}-30\cdot 178^{3k+2}+89\cdot 178^{2k+1}\\||-178^{k+1}+1)\\|\times|(178^{176k+88}+178^{175k+88}+89\cdot 178^{174k+87}+30\cdot 178^{173k+87}+1379\cdot 178^{172k+86}\\||+293\cdot 178^{171k+86}+9523\cdot 178^{170k+85}+1536\cdot 178^{169k+85}+39661\cdot 178^{168k+84}+5237\cdot 178^{167k+84}\\||+112941\cdot 178^{166k+83}+12616\cdot 178^{165k+83}+231739\cdot 178^{164k+82}+22069\cdot 178^{163k+82}+343451\cdot 178^{162k+81}\\||+27240\cdot 178^{161k+81}+339917\cdot 178^{160k+80}+19757\cdot 178^{159k+80}+134301\cdot 178^{158k+79}-2722\cdot 178^{157k+79}\\||-224873\cdot 178^{156k+78}-29943\cdot 178^{155k+78}-525901\cdot 178^{154k+77}-43108\cdot 178^{153k+77}-530779\cdot 178^{152k+76}\\||-29519\cdot 178^{151k+76}-183607\cdot 178^{150k+75}+4918\cdot 178^{149k+75}+311427\cdot 178^{148k+74}+38367\cdot 178^{147k+74}\\||+633591\cdot 178^{146k+73}+49290\cdot 178^{145k+73}+582045\cdot 178^{144k+72}+31585\cdot 178^{143k+72}+203365\cdot 178^{142k+71}\\||-2686\cdot 178^{141k+71}-256825\cdot 178^{140k+70}-31673\cdot 178^{139k+70}-503829\cdot 178^{138k+69}-36300\cdot 178^{137k+69}\\||-364843\cdot 178^{136k+68}-12401\cdot 178^{135k+68}+76273\cdot 178^{134k+67}+23312\cdot 178^{133k+67}+487791\cdot 178^{132k+66}\\||+42431\cdot 178^{131k+66}+527147\cdot 178^{130k+65}+28508\cdot 178^{129k+65}+162509\cdot 178^{128k+64}-5319\cdot 178^{127k+64}\\||-260859\cdot 178^{126k+63}-27022\cdot 178^{125k+63}-348817\cdot 178^{124k+62}-17651\cdot 178^{123k+62}-57049\cdot 178^{122k+61}\\||+10138\cdot 178^{121k+61}+291125\cdot 178^{120k+60}+28139\cdot 178^{119k+60}+376381\cdot 178^{118k+59}+22912\cdot 178^{117k+59}\\||+191451\cdot 178^{116k+58}+5061\cdot 178^{115k+58}-36757\cdot 178^{114k+57}-7704\cdot 178^{113k+57}-123755\cdot 178^{112k+56}\\||-7629\cdot 178^{111k+56}-43699\cdot 178^{110k+55}+3138\cdot 178^{109k+55}+144687\cdot 178^{108k+54}+18821\cdot 178^{107k+54}\\||+342383\cdot 178^{106k+53}+29658\cdot 178^{105k+53}+388845\cdot 178^{104k+52}+23091\cdot 178^{103k+52}+155661\cdot 178^{102k+51}\\||-3456\cdot 178^{101k+51}-257509\cdot 178^{100k+50}-32283\cdot 178^{99k+50}-523409\cdot 178^{98k+49}-38374\cdot 178^{97k+49}\\||-399027\cdot 178^{96k+48}-15925\cdot 178^{95k+48}+4005\cdot 178^{94k+47}+15392\cdot 178^{93k+47}+359171\cdot 178^{92k+46}\\||+34011\cdot 178^{91k+46}+497599\cdot 178^{90k+45}+38284\cdot 178^{89k+45}+512561\cdot 178^{88k+44}+38284\cdot 178^{87k+44}\\||+497599\cdot 178^{86k+43}+34011\cdot 178^{85k+43}+359171\cdot 178^{84k+42}+15392\cdot 178^{83k+42}+4005\cdot 178^{82k+41}\\||-15925\cdot 178^{81k+41}-399027\cdot 178^{80k+40}-38374\cdot 178^{79k+40}-523409\cdot 178^{78k+39}-32283\cdot 178^{77k+39}\\||-257509\cdot 178^{76k+38}-3456\cdot 178^{75k+38}+155661\cdot 178^{74k+37}+23091\cdot 178^{73k+37}+388845\cdot 178^{72k+36}\\||+29658\cdot 178^{71k+36}+342383\cdot 178^{70k+35}+18821\cdot 178^{69k+35}+144687\cdot 178^{68k+34}+3138\cdot 178^{67k+34}\\||-43699\cdot 178^{66k+33}-7629\cdot 178^{65k+33}-123755\cdot 178^{64k+32}-7704\cdot 178^{63k+32}-36757\cdot 178^{62k+31}\\||+5061\cdot 178^{61k+31}+191451\cdot 178^{60k+30}+22912\cdot 178^{59k+30}+376381\cdot 178^{58k+29}+28139\cdot 178^{57k+29}\\||+291125\cdot 178^{56k+28}+10138\cdot 178^{55k+28}-57049\cdot 178^{54k+27}-17651\cdot 178^{53k+27}-348817\cdot 178^{52k+26}\\||-27022\cdot 178^{51k+26}-260859\cdot 178^{50k+25}-5319\cdot 178^{49k+25}+162509\cdot 178^{48k+24}+28508\cdot 178^{47k+24}\\||+527147\cdot 178^{46k+23}+42431\cdot 178^{45k+23}+487791\cdot 178^{44k+22}+23312\cdot 178^{43k+22}+76273\cdot 178^{42k+21}\\||-12401\cdot 178^{41k+21}-364843\cdot 178^{40k+20}-36300\cdot 178^{39k+20}-503829\cdot 178^{38k+19}-31673\cdot 178^{37k+19}\\||-256825\cdot 178^{36k+18}-2686\cdot 178^{35k+18}+203365\cdot 178^{34k+17}+31585\cdot 178^{33k+17}+582045\cdot 178^{32k+16}\\||+49290\cdot 178^{31k+16}+633591\cdot 178^{30k+15}+38367\cdot 178^{29k+15}+311427\cdot 178^{28k+14}+4918\cdot 178^{27k+14}\\||-183607\cdot 178^{26k+13}-29519\cdot 178^{25k+13}-530779\cdot 178^{24k+12}-43108\cdot 178^{23k+12}-525901\cdot 178^{22k+11}\\||-29943\cdot 178^{21k+11}-224873\cdot 178^{20k+10}-2722\cdot 178^{19k+10}+134301\cdot 178^{18k+9}+19757\cdot 178^{17k+9}\\||+339917\cdot 178^{16k+8}+27240\cdot 178^{15k+8}+343451\cdot 178^{14k+7}+22069\cdot 178^{13k+7}+231739\cdot 178^{12k+6}\\||+12616\cdot 178^{11k+6}+112941\cdot 178^{10k+5}+5237\cdot 178^{9k+5}+39661\cdot 178^{8k+4}+1536\cdot 178^{7k+4}\\||+9523\cdot 178^{6k+3}+293\cdot 178^{5k+3}+1379\cdot 178^{4k+2}+30\cdot 178^{3k+2}+89\cdot 178^{2k+1}\\||+178^{k+1}+1)\\{\large\Phi}_{358}(179^{2k+1})|=|179^{356k+178}-179^{354k+177}+179^{352k+176}-179^{350k+175}+179^{348k+174}\\||-179^{346k+173}+179^{344k+172}-179^{342k+171}+179^{340k+170}-179^{338k+169}\\||+179^{336k+168}-179^{334k+167}+179^{332k+166}-179^{330k+165}+179^{328k+164}\\||-179^{326k+163}+179^{324k+162}-179^{322k+161}+179^{320k+160}-179^{318k+159}\\||+179^{316k+158}-179^{314k+157}+179^{312k+156}-179^{310k+155}+179^{308k+154}\\||-179^{306k+153}+179^{304k+152}-179^{302k+151}+179^{300k+150}-179^{298k+149}\\||+179^{296k+148}-179^{294k+147}+179^{292k+146}-179^{290k+145}+179^{288k+144}\\||-179^{286k+143}+179^{284k+142}-179^{282k+141}+179^{280k+140}-179^{278k+139}\\||+179^{276k+138}-179^{274k+137}+179^{272k+136}-179^{270k+135}+179^{268k+134}\\||-179^{266k+133}+179^{264k+132}-179^{262k+131}+179^{260k+130}-179^{258k+129}\\||+179^{256k+128}-179^{254k+127}+179^{252k+126}-179^{250k+125}+179^{248k+124}\\||-179^{246k+123}+179^{244k+122}-179^{242k+121}+179^{240k+120}-179^{238k+119}\\||+179^{236k+118}-179^{234k+117}+179^{232k+116}-179^{230k+115}+179^{228k+114}\\||-179^{226k+113}+179^{224k+112}-179^{222k+111}+179^{220k+110}-179^{218k+109}\\||+179^{216k+108}-179^{214k+107}+179^{212k+106}-179^{210k+105}+179^{208k+104}\\||-179^{206k+103}+179^{204k+102}-179^{202k+101}+179^{200k+100}-179^{198k+99}\\||+179^{196k+98}-179^{194k+97}+179^{192k+96}-179^{190k+95}+179^{188k+94}\\||-179^{186k+93}+179^{184k+92}-179^{182k+91}+179^{180k+90}-179^{178k+89}\\||+179^{176k+88}-179^{174k+87}+179^{172k+86}-179^{170k+85}+179^{168k+84}\\||-179^{166k+83}+179^{164k+82}-179^{162k+81}+179^{160k+80}-179^{158k+79}\\||+179^{156k+78}-179^{154k+77}+179^{152k+76}-179^{150k+75}+179^{148k+74}\\||-179^{146k+73}+179^{144k+72}-179^{142k+71}+179^{140k+70}-179^{138k+69}\\||+179^{136k+68}-179^{134k+67}+179^{132k+66}-179^{130k+65}+179^{128k+64}\\||-179^{126k+63}+179^{124k+62}-179^{122k+61}+179^{120k+60}-179^{118k+59}\\||+179^{116k+58}-179^{114k+57}+179^{112k+56}-179^{110k+55}+179^{108k+54}\\||-179^{106k+53}+179^{104k+52}-179^{102k+51}+179^{100k+50}-179^{98k+49}\\||+179^{96k+48}-179^{94k+47}+179^{92k+46}-179^{90k+45}+179^{88k+44}\\||-179^{86k+43}+179^{84k+42}-179^{82k+41}+179^{80k+40}-179^{78k+39}\\||+179^{76k+38}-179^{74k+37}+179^{72k+36}-179^{70k+35}+179^{68k+34}\\||-179^{66k+33}+179^{64k+32}-179^{62k+31}+179^{60k+30}-179^{58k+29}\\||+179^{56k+28}-179^{54k+27}+179^{52k+26}-179^{50k+25}+179^{48k+24}\\||-179^{46k+23}+179^{44k+22}-179^{42k+21}+179^{40k+20}-179^{38k+19}\\||+179^{36k+18}-179^{34k+17}+179^{32k+16}-179^{30k+15}+179^{28k+14}\\||-179^{26k+13}+179^{24k+12}-179^{22k+11}+179^{20k+10}-179^{18k+9}\\||+179^{16k+8}-179^{14k+7}+179^{12k+6}-179^{10k+5}+179^{8k+4}\\||-179^{6k+3}+179^{4k+2}-179^{2k+1}+1\\|=|(179^{178k+89}-179^{177k+89}+89\cdot 179^{176k+88}-29\cdot 179^{175k+88}+1231\cdot 179^{174k+87}\\||-223\cdot 179^{173k+87}+5627\cdot 179^{172k+86}-613\cdot 179^{171k+86}+8837\cdot 179^{170k+85}-457\cdot 179^{169k+85}\\||+1301\cdot 179^{168k+84}+57\cdot 179^{167k+84}+5505\cdot 179^{166k+83}-1545\cdot 179^{165k+83}+36787\cdot 179^{164k+82}\\||-3115\cdot 179^{163k+82}+29941\cdot 179^{162k+81}-829\cdot 179^{161k+81}+4549\cdot 179^{160k+80}-1693\cdot 179^{159k+80}\\||+56619\cdot 179^{158k+79}-6077\cdot 179^{157k+79}+77723\cdot 179^{156k+78}-3953\cdot 179^{155k+78}+35593\cdot 179^{154k+77}\\||-3673\cdot 179^{153k+77}+86897\cdot 179^{152k+76}-8745\cdot 179^{151k+76}+114417\cdot 179^{150k+75}-6621\cdot 179^{149k+75}\\||+75897\cdot 179^{148k+74}-7577\cdot 179^{147k+74}+148597\cdot 179^{146k+73}-12923\cdot 179^{145k+73}+148707\cdot 179^{144k+72}\\||-7641\cdot 179^{143k+72}+90227\cdot 179^{142k+71}-10525\cdot 179^{141k+71}+217121\cdot 179^{140k+70}-18513\cdot 179^{139k+70}\\||+199385\cdot 179^{138k+69}-8851\cdot 179^{137k+69}+90505\cdot 179^{136k+68}-11489\cdot 179^{135k+68}+252909\cdot 179^{134k+67}\\||-21641\cdot 179^{133k+67}+222787\cdot 179^{132k+66}-8827\cdot 179^{131k+66}+85733\cdot 179^{130k+65}-12397\cdot 179^{129k+65}\\||+279613\cdot 179^{128k+64}-22769\cdot 179^{127k+64}+203615\cdot 179^{126k+63}-5321\cdot 179^{125k+63}+42041\cdot 179^{124k+62}\\||-11143\cdot 179^{123k+62}+280849\cdot 179^{122k+61}-21745\cdot 179^{121k+61}+152189\cdot 179^{120k+60}+499\cdot 179^{119k+60}\\||-28741\cdot 179^{118k+59}-7919\cdot 179^{117k+59}+251655\cdot 179^{116k+58}-18145\cdot 179^{115k+58}+68131\cdot 179^{114k+57}\\||+8209\cdot 179^{113k+57}-118827\cdot 179^{112k+56}-3157\cdot 179^{111k+56}+195779\cdot 179^{110k+55}-12425\cdot 179^{109k+55}\\||-35209\cdot 179^{108k+54}+16211\cdot 179^{107k+54}-203263\cdot 179^{106k+53}+1481\cdot 179^{105k+53}+129325\cdot 179^{104k+52}\\||-5433\cdot 179^{103k+52}-146953\cdot 179^{102k+51}+23425\cdot 179^{101k+51}-262117\cdot 179^{100k+50}+4143\cdot 179^{99k+50}\\||+78639\cdot 179^{98k+49}+1157\cdot 179^{97k+49}-254019\cdot 179^{96k+48}+29631\cdot 179^{95k+48}-295703\cdot 179^{94k+47}\\||+4171\cdot 179^{93k+47}+71389\cdot 179^{92k+46}+4003\cdot 179^{91k+46}-310273\cdot 179^{90k+45}+32865\cdot 179^{89k+45}\\||-310273\cdot 179^{88k+44}+4003\cdot 179^{87k+44}+71389\cdot 179^{86k+43}+4171\cdot 179^{85k+43}-295703\cdot 179^{84k+42}\\||+29631\cdot 179^{83k+42}-254019\cdot 179^{82k+41}+1157\cdot 179^{81k+41}+78639\cdot 179^{80k+40}+4143\cdot 179^{79k+40}\\||-262117\cdot 179^{78k+39}+23425\cdot 179^{77k+39}-146953\cdot 179^{76k+38}-5433\cdot 179^{75k+38}+129325\cdot 179^{74k+37}\\||+1481\cdot 179^{73k+37}-203263\cdot 179^{72k+36}+16211\cdot 179^{71k+36}-35209\cdot 179^{70k+35}-12425\cdot 179^{69k+35}\\||+195779\cdot 179^{68k+34}-3157\cdot 179^{67k+34}-118827\cdot 179^{66k+33}+8209\cdot 179^{65k+33}+68131\cdot 179^{64k+32}\\||-18145\cdot 179^{63k+32}+251655\cdot 179^{62k+31}-7919\cdot 179^{61k+31}-28741\cdot 179^{60k+30}+499\cdot 179^{59k+30}\\||+152189\cdot 179^{58k+29}-21745\cdot 179^{57k+29}+280849\cdot 179^{56k+28}-11143\cdot 179^{55k+28}+42041\cdot 179^{54k+27}\\||-5321\cdot 179^{53k+27}+203615\cdot 179^{52k+26}-22769\cdot 179^{51k+26}+279613\cdot 179^{50k+25}-12397\cdot 179^{49k+25}\\||+85733\cdot 179^{48k+24}-8827\cdot 179^{47k+24}+222787\cdot 179^{46k+23}-21641\cdot 179^{45k+23}+252909\cdot 179^{44k+22}\\||-11489\cdot 179^{43k+22}+90505\cdot 179^{42k+21}-8851\cdot 179^{41k+21}+199385\cdot 179^{40k+20}-18513\cdot 179^{39k+20}\\||+217121\cdot 179^{38k+19}-10525\cdot 179^{37k+19}+90227\cdot 179^{36k+18}-7641\cdot 179^{35k+18}+148707\cdot 179^{34k+17}\\||-12923\cdot 179^{33k+17}+148597\cdot 179^{32k+16}-7577\cdot 179^{31k+16}+75897\cdot 179^{30k+15}-6621\cdot 179^{29k+15}\\||+114417\cdot 179^{28k+14}-8745\cdot 179^{27k+14}+86897\cdot 179^{26k+13}-3673\cdot 179^{25k+13}+35593\cdot 179^{24k+12}\\||-3953\cdot 179^{23k+12}+77723\cdot 179^{22k+11}-6077\cdot 179^{21k+11}+56619\cdot 179^{20k+10}-1693\cdot 179^{19k+10}\\||+4549\cdot 179^{18k+9}-829\cdot 179^{17k+9}+29941\cdot 179^{16k+8}-3115\cdot 179^{15k+8}+36787\cdot 179^{14k+7}\\||-1545\cdot 179^{13k+7}+5505\cdot 179^{12k+6}+57\cdot 179^{11k+6}+1301\cdot 179^{10k+5}-457\cdot 179^{9k+5}\\||+8837\cdot 179^{8k+4}-613\cdot 179^{7k+4}+5627\cdot 179^{6k+3}-223\cdot 179^{5k+3}+1231\cdot 179^{4k+2}\\||-29\cdot 179^{3k+2}+89\cdot 179^{2k+1}-179^{k+1}+1)\\|\times|(179^{178k+89}+179^{177k+89}+89\cdot 179^{176k+88}+29\cdot 179^{175k+88}+1231\cdot 179^{174k+87}\\||+223\cdot 179^{173k+87}+5627\cdot 179^{172k+86}+613\cdot 179^{171k+86}+8837\cdot 179^{170k+85}+457\cdot 179^{169k+85}\\||+1301\cdot 179^{168k+84}-57\cdot 179^{167k+84}+5505\cdot 179^{166k+83}+1545\cdot 179^{165k+83}+36787\cdot 179^{164k+82}\\||+3115\cdot 179^{163k+82}+29941\cdot 179^{162k+81}+829\cdot 179^{161k+81}+4549\cdot 179^{160k+80}+1693\cdot 179^{159k+80}\\||+56619\cdot 179^{158k+79}+6077\cdot 179^{157k+79}+77723\cdot 179^{156k+78}+3953\cdot 179^{155k+78}+35593\cdot 179^{154k+77}\\||+3673\cdot 179^{153k+77}+86897\cdot 179^{152k+76}+8745\cdot 179^{151k+76}+114417\cdot 179^{150k+75}+6621\cdot 179^{149k+75}\\||+75897\cdot 179^{148k+74}+7577\cdot 179^{147k+74}+148597\cdot 179^{146k+73}+12923\cdot 179^{145k+73}+148707\cdot 179^{144k+72}\\||+7641\cdot 179^{143k+72}+90227\cdot 179^{142k+71}+10525\cdot 179^{141k+71}+217121\cdot 179^{140k+70}+18513\cdot 179^{139k+70}\\||+199385\cdot 179^{138k+69}+8851\cdot 179^{137k+69}+90505\cdot 179^{136k+68}+11489\cdot 179^{135k+68}+252909\cdot 179^{134k+67}\\||+21641\cdot 179^{133k+67}+222787\cdot 179^{132k+66}+8827\cdot 179^{131k+66}+85733\cdot 179^{130k+65}+12397\cdot 179^{129k+65}\\||+279613\cdot 179^{128k+64}+22769\cdot 179^{127k+64}+203615\cdot 179^{126k+63}+5321\cdot 179^{125k+63}+42041\cdot 179^{124k+62}\\||+11143\cdot 179^{123k+62}+280849\cdot 179^{122k+61}+21745\cdot 179^{121k+61}+152189\cdot 179^{120k+60}-499\cdot 179^{119k+60}\\||-28741\cdot 179^{118k+59}+7919\cdot 179^{117k+59}+251655\cdot 179^{116k+58}+18145\cdot 179^{115k+58}+68131\cdot 179^{114k+57}\\||-8209\cdot 179^{113k+57}-118827\cdot 179^{112k+56}+3157\cdot 179^{111k+56}+195779\cdot 179^{110k+55}+12425\cdot 179^{109k+55}\\||-35209\cdot 179^{108k+54}-16211\cdot 179^{107k+54}-203263\cdot 179^{106k+53}-1481\cdot 179^{105k+53}+129325\cdot 179^{104k+52}\\||+5433\cdot 179^{103k+52}-146953\cdot 179^{102k+51}-23425\cdot 179^{101k+51}-262117\cdot 179^{100k+50}-4143\cdot 179^{99k+50}\\||+78639\cdot 179^{98k+49}-1157\cdot 179^{97k+49}-254019\cdot 179^{96k+48}-29631\cdot 179^{95k+48}-295703\cdot 179^{94k+47}\\||-4171\cdot 179^{93k+47}+71389\cdot 179^{92k+46}-4003\cdot 179^{91k+46}-310273\cdot 179^{90k+45}-32865\cdot 179^{89k+45}\\||-310273\cdot 179^{88k+44}-4003\cdot 179^{87k+44}+71389\cdot 179^{86k+43}-4171\cdot 179^{85k+43}-295703\cdot 179^{84k+42}\\||-29631\cdot 179^{83k+42}-254019\cdot 179^{82k+41}-1157\cdot 179^{81k+41}+78639\cdot 179^{80k+40}-4143\cdot 179^{79k+40}\\||-262117\cdot 179^{78k+39}-23425\cdot 179^{77k+39}-146953\cdot 179^{76k+38}+5433\cdot 179^{75k+38}+129325\cdot 179^{74k+37}\\||-1481\cdot 179^{73k+37}-203263\cdot 179^{72k+36}-16211\cdot 179^{71k+36}-35209\cdot 179^{70k+35}+12425\cdot 179^{69k+35}\\||+195779\cdot 179^{68k+34}+3157\cdot 179^{67k+34}-118827\cdot 179^{66k+33}-8209\cdot 179^{65k+33}+68131\cdot 179^{64k+32}\\||+18145\cdot 179^{63k+32}+251655\cdot 179^{62k+31}+7919\cdot 179^{61k+31}-28741\cdot 179^{60k+30}-499\cdot 179^{59k+30}\\||+152189\cdot 179^{58k+29}+21745\cdot 179^{57k+29}+280849\cdot 179^{56k+28}+11143\cdot 179^{55k+28}+42041\cdot 179^{54k+27}\\||+5321\cdot 179^{53k+27}+203615\cdot 179^{52k+26}+22769\cdot 179^{51k+26}+279613\cdot 179^{50k+25}+12397\cdot 179^{49k+25}\\||+85733\cdot 179^{48k+24}+8827\cdot 179^{47k+24}+222787\cdot 179^{46k+23}+21641\cdot 179^{45k+23}+252909\cdot 179^{44k+22}\\||+11489\cdot 179^{43k+22}+90505\cdot 179^{42k+21}+8851\cdot 179^{41k+21}+199385\cdot 179^{40k+20}+18513\cdot 179^{39k+20}\\||+217121\cdot 179^{38k+19}+10525\cdot 179^{37k+19}+90227\cdot 179^{36k+18}+7641\cdot 179^{35k+18}+148707\cdot 179^{34k+17}\\||+12923\cdot 179^{33k+17}+148597\cdot 179^{32k+16}+7577\cdot 179^{31k+16}+75897\cdot 179^{30k+15}+6621\cdot 179^{29k+15}\\||+114417\cdot 179^{28k+14}+8745\cdot 179^{27k+14}+86897\cdot 179^{26k+13}+3673\cdot 179^{25k+13}+35593\cdot 179^{24k+12}\\||+3953\cdot 179^{23k+12}+77723\cdot 179^{22k+11}+6077\cdot 179^{21k+11}+56619\cdot 179^{20k+10}+1693\cdot 179^{19k+10}\\||+4549\cdot 179^{18k+9}+829\cdot 179^{17k+9}+29941\cdot 179^{16k+8}+3115\cdot 179^{15k+8}+36787\cdot 179^{14k+7}\\||+1545\cdot 179^{13k+7}+5505\cdot 179^{12k+6}-57\cdot 179^{11k+6}+1301\cdot 179^{10k+5}+457\cdot 179^{9k+5}\\||+8837\cdot 179^{8k+4}+613\cdot 179^{7k+4}+5627\cdot 179^{6k+3}+223\cdot 179^{5k+3}+1231\cdot 179^{4k+2}\\||+29\cdot 179^{3k+2}+89\cdot 179^{2k+1}+179^{k+1}+1)\end{eqnarray}%%
Φ181(1812k+1)⋯Φ185(1852k+1)Φ181(1812k+1)⋯Φ185(1852k+1)
%%\begin{eqnarray}{\large\Phi}_{181}(181^{2k+1})|=|181^{360k+180}+181^{358k+179}+181^{356k+178}+181^{354k+177}+181^{352k+176}\\||+181^{350k+175}+181^{348k+174}+181^{346k+173}+181^{344k+172}+181^{342k+171}\\||+181^{340k+170}+181^{338k+169}+181^{336k+168}+181^{334k+167}+181^{332k+166}\\||+181^{330k+165}+181^{328k+164}+181^{326k+163}+181^{324k+162}+181^{322k+161}\\||+181^{320k+160}+181^{318k+159}+181^{316k+158}+181^{314k+157}+181^{312k+156}\\||+181^{310k+155}+181^{308k+154}+181^{306k+153}+181^{304k+152}+181^{302k+151}\\||+181^{300k+150}+181^{298k+149}+181^{296k+148}+181^{294k+147}+181^{292k+146}\\||+181^{290k+145}+181^{288k+144}+181^{286k+143}+181^{284k+142}+181^{282k+141}\\||+181^{280k+140}+181^{278k+139}+181^{276k+138}+181^{274k+137}+181^{272k+136}\\||+181^{270k+135}+181^{268k+134}+181^{266k+133}+181^{264k+132}+181^{262k+131}\\||+181^{260k+130}+181^{258k+129}+181^{256k+128}+181^{254k+127}+181^{252k+126}\\||+181^{250k+125}+181^{248k+124}+181^{246k+123}+181^{244k+122}+181^{242k+121}\\||+181^{240k+120}+181^{238k+119}+181^{236k+118}+181^{234k+117}+181^{232k+116}\\||+181^{230k+115}+181^{228k+114}+181^{226k+113}+181^{224k+112}+181^{222k+111}\\||+181^{220k+110}+181^{218k+109}+181^{216k+108}+181^{214k+107}+181^{212k+106}\\||+181^{210k+105}+181^{208k+104}+181^{206k+103}+181^{204k+102}+181^{202k+101}\\||+181^{200k+100}+181^{198k+99}+181^{196k+98}+181^{194k+97}+181^{192k+96}\\||+181^{190k+95}+181^{188k+94}+181^{186k+93}+181^{184k+92}+181^{182k+91}\\||+181^{180k+90}+181^{178k+89}+181^{176k+88}+181^{174k+87}+181^{172k+86}\\||+181^{170k+85}+181^{168k+84}+181^{166k+83}+181^{164k+82}+181^{162k+81}\\||+181^{160k+80}+181^{158k+79}+181^{156k+78}+181^{154k+77}+181^{152k+76}\\||+181^{150k+75}+181^{148k+74}+181^{146k+73}+181^{144k+72}+181^{142k+71}\\||+181^{140k+70}+181^{138k+69}+181^{136k+68}+181^{134k+67}+181^{132k+66}\\||+181^{130k+65}+181^{128k+64}+181^{126k+63}+181^{124k+62}+181^{122k+61}\\||+181^{120k+60}+181^{118k+59}+181^{116k+58}+181^{114k+57}+181^{112k+56}\\||+181^{110k+55}+181^{108k+54}+181^{106k+53}+181^{104k+52}+181^{102k+51}\\||+181^{100k+50}+181^{98k+49}+181^{96k+48}+181^{94k+47}+181^{92k+46}\\||+181^{90k+45}+181^{88k+44}+181^{86k+43}+181^{84k+42}+181^{82k+41}\\||+181^{80k+40}+181^{78k+39}+181^{76k+38}+181^{74k+37}+181^{72k+36}\\||+181^{70k+35}+181^{68k+34}+181^{66k+33}+181^{64k+32}+181^{62k+31}\\||+181^{60k+30}+181^{58k+29}+181^{56k+28}+181^{54k+27}+181^{52k+26}\\||+181^{50k+25}+181^{48k+24}+181^{46k+23}+181^{44k+22}+181^{42k+21}\\||+181^{40k+20}+181^{38k+19}+181^{36k+18}+181^{34k+17}+181^{32k+16}\\||+181^{30k+15}+181^{28k+14}+181^{26k+13}+181^{24k+12}+181^{22k+11}\\||+181^{20k+10}+181^{18k+9}+181^{16k+8}+181^{14k+7}+181^{12k+6}\\||+181^{10k+5}+181^{8k+4}+181^{6k+3}+181^{4k+2}+181^{2k+1}+1\\|=|(181^{180k+90}-181^{179k+90}+91\cdot 181^{178k+89}-31\cdot 181^{177k+89}+1471\cdot 181^{176k+88}\\||-319\cdot 181^{175k+88}+10849\cdot 181^{174k+87}-1823\cdot 181^{173k+87}+50693\cdot 181^{172k+86}-7233\cdot 181^{171k+86}\\||+175455\cdot 181^{170k+85}-22275\cdot 181^{169k+85}+488127\cdot 181^{168k+84}-56667\cdot 181^{167k+84}+1146995\cdot 181^{166k+83}\\||-124043\cdot 181^{165k+83}+2356143\cdot 181^{164k+82}-240665\cdot 181^{163k+82}+4342735\cdot 181^{162k+81}-423641\cdot 181^{161k+81}\\||+7336493\cdot 181^{160k+80}-689935\cdot 181^{159k+80}+11565409\cdot 181^{158k+79}-1056695\cdot 181^{157k+79}+17266213\cdot 181^{156k+78}\\||-1542093\cdot 181^{155k+78}+24689187\cdot 181^{154k+77}-2164643\cdot 181^{153k+77}+34069917\cdot 181^{152k+76}-2939613\cdot 181^{151k+76}\\||+45564415\cdot 181^{150k+75}-3873513\cdot 181^{149k+75}+59176395\cdot 181^{148k+74}-4959751\cdot 181^{147k+74}+74725283\cdot 181^{146k+73}\\||-6178801\cdot 181^{145k+73}+91883601\cdot 181^{144k+72}-7503129\cdot 181^{143k+72}+110260249\cdot 181^{142k+71}-8903485\cdot 181^{141k+71}\\||+129469491\cdot 181^{140k+70}-10351773\cdot 181^{139k+70}+149131357\cdot 181^{138k+69}-11818397\cdot 181^{137k+69}+168811581\cdot 181^{136k+68}\\||-13267353\cdot 181^{135k+68}+187970873\cdot 181^{134k+67}-14655111\cdot 181^{133k+67}+206000539\cdot 181^{132k+66}-15937367\cdot 181^{131k+66}\\||+222359661\cdot 181^{130k+65}-17081123\cdot 181^{129k+65}+236734871\cdot 181^{128k+64}-18074189\cdot 181^{127k+64}+249111207\cdot 181^{126k+63}\\||-18925035\cdot 181^{125k+63}+259695447\cdot 181^{124k+62}-19652629\cdot 181^{123k+62}+268747811\cdot 181^{122k+61}-20274195\cdot 181^{121k+61}\\||+276454539\cdot 181^{120k+60}-20800417\cdot 181^{119k+60}+282938957\cdot 181^{118k+59}-21241583\cdot 181^{117k+59}+288393919\cdot 181^{116k+58}\\||-21618479\cdot 181^{115k+58}+293201889\cdot 181^{114k+57}-21966721\cdot 181^{113k+57}+297909063\cdot 181^{112k+56}-22328189\cdot 181^{111k+56}\\||+303034457\cdot 181^{110k+55}-22733571\cdot 181^{109k+55}+308835561\cdot 181^{108k+54}-23188473\cdot 181^{107k+54}+315206759\cdot 181^{106k+53}\\||-23673703\cdot 181^{105k+53}+321787617\cdot 181^{104k+52}-24159499\cdot 181^{103k+52}+328199001\cdot 181^{102k+51}-24622773\cdot 181^{101k+51}\\||+334222425\cdot 181^{100k+50}-25053845\cdot 181^{99k+50}+339786913\cdot 181^{98k+49}-25448387\cdot 181^{97k+49}+344794341\cdot 181^{96k+48}\\||-25792751\cdot 181^{95k+48}+348949301\cdot 181^{94k+47}-26056749\cdot 181^{93k+47}+351764987\cdot 181^{92k+46}-26202217\cdot 181^{91k+46}\\||+352769163\cdot 181^{90k+45}-26202217\cdot 181^{89k+45}+351764987\cdot 181^{88k+44}-26056749\cdot 181^{87k+44}+348949301\cdot 181^{86k+43}\\||-25792751\cdot 181^{85k+43}+344794341\cdot 181^{84k+42}-25448387\cdot 181^{83k+42}+339786913\cdot 181^{82k+41}-25053845\cdot 181^{81k+41}\\||+334222425\cdot 181^{80k+40}-24622773\cdot 181^{79k+40}+328199001\cdot 181^{78k+39}-24159499\cdot 181^{77k+39}+321787617\cdot 181^{76k+38}\\||-23673703\cdot 181^{75k+38}+315206759\cdot 181^{74k+37}-23188473\cdot 181^{73k+37}+308835561\cdot 181^{72k+36}-22733571\cdot 181^{71k+36}\\||+303034457\cdot 181^{70k+35}-22328189\cdot 181^{69k+35}+297909063\cdot 181^{68k+34}-21966721\cdot 181^{67k+34}+293201889\cdot 181^{66k+33}\\||-21618479\cdot 181^{65k+33}+288393919\cdot 181^{64k+32}-21241583\cdot 181^{63k+32}+282938957\cdot 181^{62k+31}-20800417\cdot 181^{61k+31}\\||+276454539\cdot 181^{60k+30}-20274195\cdot 181^{59k+30}+268747811\cdot 181^{58k+29}-19652629\cdot 181^{57k+29}+259695447\cdot 181^{56k+28}\\||-18925035\cdot 181^{55k+28}+249111207\cdot 181^{54k+27}-18074189\cdot 181^{53k+27}+236734871\cdot 181^{52k+26}-17081123\cdot 181^{51k+26}\\||+222359661\cdot 181^{50k+25}-15937367\cdot 181^{49k+25}+206000539\cdot 181^{48k+24}-14655111\cdot 181^{47k+24}+187970873\cdot 181^{46k+23}\\||-13267353\cdot 181^{45k+23}+168811581\cdot 181^{44k+22}-11818397\cdot 181^{43k+22}+149131357\cdot 181^{42k+21}-10351773\cdot 181^{41k+21}\\||+129469491\cdot 181^{40k+20}-8903485\cdot 181^{39k+20}+110260249\cdot 181^{38k+19}-7503129\cdot 181^{37k+19}+91883601\cdot 181^{36k+18}\\||-6178801\cdot 181^{35k+18}+74725283\cdot 181^{34k+17}-4959751\cdot 181^{33k+17}+59176395\cdot 181^{32k+16}-3873513\cdot 181^{31k+16}\\||+45564415\cdot 181^{30k+15}-2939613\cdot 181^{29k+15}+34069917\cdot 181^{28k+14}-2164643\cdot 181^{27k+14}+24689187\cdot 181^{26k+13}\\||-1542093\cdot 181^{25k+13}+17266213\cdot 181^{24k+12}-1056695\cdot 181^{23k+12}+11565409\cdot 181^{22k+11}-689935\cdot 181^{21k+11}\\||+7336493\cdot 181^{20k+10}-423641\cdot 181^{19k+10}+4342735\cdot 181^{18k+9}-240665\cdot 181^{17k+9}+2356143\cdot 181^{16k+8}\\||-124043\cdot 181^{15k+8}+1146995\cdot 181^{14k+7}-56667\cdot 181^{13k+7}+488127\cdot 181^{12k+6}-22275\cdot 181^{11k+6}\\||+175455\cdot 181^{10k+5}-7233\cdot 181^{9k+5}+50693\cdot 181^{8k+4}-1823\cdot 181^{7k+4}+10849\cdot 181^{6k+3}\\||-319\cdot 181^{5k+3}+1471\cdot 181^{4k+2}-31\cdot 181^{3k+2}+91\cdot 181^{2k+1}-181^{k+1}+1)\\|\times|(181^{180k+90}+181^{179k+90}+91\cdot 181^{178k+89}+31\cdot 181^{177k+89}+1471\cdot 181^{176k+88}\\||+319\cdot 181^{175k+88}+10849\cdot 181^{174k+87}+1823\cdot 181^{173k+87}+50693\cdot 181^{172k+86}+7233\cdot 181^{171k+86}\\||+175455\cdot 181^{170k+85}+22275\cdot 181^{169k+85}+488127\cdot 181^{168k+84}+56667\cdot 181^{167k+84}+1146995\cdot 181^{166k+83}\\||+124043\cdot 181^{165k+83}+2356143\cdot 181^{164k+82}+240665\cdot 181^{163k+82}+4342735\cdot 181^{162k+81}+423641\cdot 181^{161k+81}\\||+7336493\cdot 181^{160k+80}+689935\cdot 181^{159k+80}+11565409\cdot 181^{158k+79}+1056695\cdot 181^{157k+79}+17266213\cdot 181^{156k+78}\\||+1542093\cdot 181^{155k+78}+24689187\cdot 181^{154k+77}+2164643\cdot 181^{153k+77}+34069917\cdot 181^{152k+76}+2939613\cdot 181^{151k+76}\\||+45564415\cdot 181^{150k+75}+3873513\cdot 181^{149k+75}+59176395\cdot 181^{148k+74}+4959751\cdot 181^{147k+74}+74725283\cdot 181^{146k+73}\\||+6178801\cdot 181^{145k+73}+91883601\cdot 181^{144k+72}+7503129\cdot 181^{143k+72}+110260249\cdot 181^{142k+71}+8903485\cdot 181^{141k+71}\\||+129469491\cdot 181^{140k+70}+10351773\cdot 181^{139k+70}+149131357\cdot 181^{138k+69}+11818397\cdot 181^{137k+69}+168811581\cdot 181^{136k+68}\\||+13267353\cdot 181^{135k+68}+187970873\cdot 181^{134k+67}+14655111\cdot 181^{133k+67}+206000539\cdot 181^{132k+66}+15937367\cdot 181^{131k+66}\\||+222359661\cdot 181^{130k+65}+17081123\cdot 181^{129k+65}+236734871\cdot 181^{128k+64}+18074189\cdot 181^{127k+64}+249111207\cdot 181^{126k+63}\\||+18925035\cdot 181^{125k+63}+259695447\cdot 181^{124k+62}+19652629\cdot 181^{123k+62}+268747811\cdot 181^{122k+61}+20274195\cdot 181^{121k+61}\\||+276454539\cdot 181^{120k+60}+20800417\cdot 181^{119k+60}+282938957\cdot 181^{118k+59}+21241583\cdot 181^{117k+59}+288393919\cdot 181^{116k+58}\\||+21618479\cdot 181^{115k+58}+293201889\cdot 181^{114k+57}+21966721\cdot 181^{113k+57}+297909063\cdot 181^{112k+56}+22328189\cdot 181^{111k+56}\\||+303034457\cdot 181^{110k+55}+22733571\cdot 181^{109k+55}+308835561\cdot 181^{108k+54}+23188473\cdot 181^{107k+54}+315206759\cdot 181^{106k+53}\\||+23673703\cdot 181^{105k+53}+321787617\cdot 181^{104k+52}+24159499\cdot 181^{103k+52}+328199001\cdot 181^{102k+51}+24622773\cdot 181^{101k+51}\\||+334222425\cdot 181^{100k+50}+25053845\cdot 181^{99k+50}+339786913\cdot 181^{98k+49}+25448387\cdot 181^{97k+49}+344794341\cdot 181^{96k+48}\\||+25792751\cdot 181^{95k+48}+348949301\cdot 181^{94k+47}+26056749\cdot 181^{93k+47}+351764987\cdot 181^{92k+46}+26202217\cdot 181^{91k+46}\\||+352769163\cdot 181^{90k+45}+26202217\cdot 181^{89k+45}+351764987\cdot 181^{88k+44}+26056749\cdot 181^{87k+44}+348949301\cdot 181^{86k+43}\\||+25792751\cdot 181^{85k+43}+344794341\cdot 181^{84k+42}+25448387\cdot 181^{83k+42}+339786913\cdot 181^{82k+41}+25053845\cdot 181^{81k+41}\\||+334222425\cdot 181^{80k+40}+24622773\cdot 181^{79k+40}+328199001\cdot 181^{78k+39}+24159499\cdot 181^{77k+39}+321787617\cdot 181^{76k+38}\\||+23673703\cdot 181^{75k+38}+315206759\cdot 181^{74k+37}+23188473\cdot 181^{73k+37}+308835561\cdot 181^{72k+36}+22733571\cdot 181^{71k+36}\\||+303034457\cdot 181^{70k+35}+22328189\cdot 181^{69k+35}+297909063\cdot 181^{68k+34}+21966721\cdot 181^{67k+34}+293201889\cdot 181^{66k+33}\\||+21618479\cdot 181^{65k+33}+288393919\cdot 181^{64k+32}+21241583\cdot 181^{63k+32}+282938957\cdot 181^{62k+31}+20800417\cdot 181^{61k+31}\\||+276454539\cdot 181^{60k+30}+20274195\cdot 181^{59k+30}+268747811\cdot 181^{58k+29}+19652629\cdot 181^{57k+29}+259695447\cdot 181^{56k+28}\\||+18925035\cdot 181^{55k+28}+249111207\cdot 181^{54k+27}+18074189\cdot 181^{53k+27}+236734871\cdot 181^{52k+26}+17081123\cdot 181^{51k+26}\\||+222359661\cdot 181^{50k+25}+15937367\cdot 181^{49k+25}+206000539\cdot 181^{48k+24}+14655111\cdot 181^{47k+24}+187970873\cdot 181^{46k+23}\\||+13267353\cdot 181^{45k+23}+168811581\cdot 181^{44k+22}+11818397\cdot 181^{43k+22}+149131357\cdot 181^{42k+21}+10351773\cdot 181^{41k+21}\\||+129469491\cdot 181^{40k+20}+8903485\cdot 181^{39k+20}+110260249\cdot 181^{38k+19}+7503129\cdot 181^{37k+19}+91883601\cdot 181^{36k+18}\\||+6178801\cdot 181^{35k+18}+74725283\cdot 181^{34k+17}+4959751\cdot 181^{33k+17}+59176395\cdot 181^{32k+16}+3873513\cdot 181^{31k+16}\\||+45564415\cdot 181^{30k+15}+2939613\cdot 181^{29k+15}+34069917\cdot 181^{28k+14}+2164643\cdot 181^{27k+14}+24689187\cdot 181^{26k+13}\\||+1542093\cdot 181^{25k+13}+17266213\cdot 181^{24k+12}+1056695\cdot 181^{23k+12}+11565409\cdot 181^{22k+11}+689935\cdot 181^{21k+11}\\||+7336493\cdot 181^{20k+10}+423641\cdot 181^{19k+10}+4342735\cdot 181^{18k+9}+240665\cdot 181^{17k+9}+2356143\cdot 181^{16k+8}\\||+124043\cdot 181^{15k+8}+1146995\cdot 181^{14k+7}+56667\cdot 181^{13k+7}+488127\cdot 181^{12k+6}+22275\cdot 181^{11k+6}\\||+175455\cdot 181^{10k+5}+7233\cdot 181^{9k+5}+50693\cdot 181^{8k+4}+1823\cdot 181^{7k+4}+10849\cdot 181^{6k+3}\\||+319\cdot 181^{5k+3}+1471\cdot 181^{4k+2}+31\cdot 181^{3k+2}+91\cdot 181^{2k+1}+181^{k+1}+1)\\{\large\Phi}_{364}(182^{2k+1})|=|182^{288k+144}+182^{284k+142}-182^{260k+130}-182^{256k+128}-182^{236k+118}\\||+182^{228k+114}+182^{208k+104}-182^{200k+100}+182^{184k+92}+182^{172k+86}\\||-182^{156k+78}-182^{144k+72}-182^{132k+66}+182^{116k+58}+182^{104k+52}\\||-182^{88k+44}+182^{80k+40}+182^{60k+30}-182^{52k+26}-182^{32k+16}\\||-182^{28k+14}+182^{4k+2}+1\\|=|(182^{144k+72}-182^{143k+72}+91\cdot 182^{142k+71}-30\cdot 182^{141k+71}+1320\cdot 182^{140k+70}\\||-246\cdot 182^{139k+70}+6552\cdot 182^{138k+69}-743\cdot 182^{137k+69}+10954\cdot 182^{136k+68}-397\cdot 182^{135k+68}\\||-9464\cdot 182^{134k+67}+2314\cdot 182^{133k+67}-50340\cdot 182^{132k+66}+3869\cdot 182^{131k+66}-24843\cdot 182^{130k+65}\\||-2276\cdot 182^{129k+65}+94389\cdot 182^{128k+64}-9766\cdot 182^{127k+64}+110656\cdot 182^{126k+63}-1712\cdot 182^{125k+63}\\||-101262\cdot 182^{124k+62}+14966\cdot 182^{123k+62}-216398\cdot 182^{122k+61}+8772\cdot 182^{121k+61}+58520\cdot 182^{120k+60}\\||-16958\cdot 182^{119k+60}+297479\cdot 182^{118k+59}-15930\cdot 182^{117k+59}+11486\cdot 182^{116k+58}+15666\cdot 182^{115k+58}\\||-333515\cdot 182^{114k+57}+21056\cdot 182^{113k+57}-84536\cdot 182^{112k+56}-11821\cdot 182^{111k+56}+316134\cdot 182^{110k+55}\\||-22372\cdot 182^{109k+55}+128514\cdot 182^{108k+54}+7701\cdot 182^{107k+54}-265720\cdot 182^{106k+53}+20102\cdot 182^{105k+53}\\||-124863\cdot 182^{104k+52}-6266\cdot 182^{103k+52}+236782\cdot 182^{102k+51}-18356\cdot 182^{101k+51}+113427\cdot 182^{100k+50}\\||+6646\cdot 182^{99k+50}-248612\cdot 182^{98k+49}+20336\cdot 182^{97k+49}-148386\cdot 182^{96k+48}-4998\cdot 182^{95k+48}\\||+261898\cdot 182^{94k+47}-24492\cdot 182^{93k+47}+228763\cdot 182^{92k+46}+89\cdot 182^{91k+46}-247702\cdot 182^{90k+45}\\||+28306\cdot 182^{89k+45}-323842\cdot 182^{88k+44}+6628\cdot 182^{87k+44}+209755\cdot 182^{86k+43}-30985\cdot 182^{85k+43}\\||+416942\cdot 182^{84k+42}-14356\cdot 182^{83k+42}-143962\cdot 182^{82k+41}+31058\cdot 182^{81k+41}-479706\cdot 182^{80k+40}\\||+21184\cdot 182^{79k+40}+63791\cdot 182^{78k+39}-28218\cdot 182^{77k+39}+490070\cdot 182^{76k+38}-24436\cdot 182^{75k+38}\\||-12558\cdot 182^{74k+37}+25612\cdot 182^{73k+37}-482173\cdot 182^{72k+36}+25612\cdot 182^{71k+36}-12558\cdot 182^{70k+35}\\||-24436\cdot 182^{69k+35}+490070\cdot 182^{68k+34}-28218\cdot 182^{67k+34}+63791\cdot 182^{66k+33}+21184\cdot 182^{65k+33}\\||-479706\cdot 182^{64k+32}+31058\cdot 182^{63k+32}-143962\cdot 182^{62k+31}-14356\cdot 182^{61k+31}+416942\cdot 182^{60k+30}\\||-30985\cdot 182^{59k+30}+209755\cdot 182^{58k+29}+6628\cdot 182^{57k+29}-323842\cdot 182^{56k+28}+28306\cdot 182^{55k+28}\\||-247702\cdot 182^{54k+27}+89\cdot 182^{53k+27}+228763\cdot 182^{52k+26}-24492\cdot 182^{51k+26}+261898\cdot 182^{50k+25}\\||-4998\cdot 182^{49k+25}-148386\cdot 182^{48k+24}+20336\cdot 182^{47k+24}-248612\cdot 182^{46k+23}+6646\cdot 182^{45k+23}\\||+113427\cdot 182^{44k+22}-18356\cdot 182^{43k+22}+236782\cdot 182^{42k+21}-6266\cdot 182^{41k+21}-124863\cdot 182^{40k+20}\\||+20102\cdot 182^{39k+20}-265720\cdot 182^{38k+19}+7701\cdot 182^{37k+19}+128514\cdot 182^{36k+18}-22372\cdot 182^{35k+18}\\||+316134\cdot 182^{34k+17}-11821\cdot 182^{33k+17}-84536\cdot 182^{32k+16}+21056\cdot 182^{31k+16}-333515\cdot 182^{30k+15}\\||+15666\cdot 182^{29k+15}+11486\cdot 182^{28k+14}-15930\cdot 182^{27k+14}+297479\cdot 182^{26k+13}-16958\cdot 182^{25k+13}\\||+58520\cdot 182^{24k+12}+8772\cdot 182^{23k+12}-216398\cdot 182^{22k+11}+14966\cdot 182^{21k+11}-101262\cdot 182^{20k+10}\\||-1712\cdot 182^{19k+10}+110656\cdot 182^{18k+9}-9766\cdot 182^{17k+9}+94389\cdot 182^{16k+8}-2276\cdot 182^{15k+8}\\||-24843\cdot 182^{14k+7}+3869\cdot 182^{13k+7}-50340\cdot 182^{12k+6}+2314\cdot 182^{11k+6}-9464\cdot 182^{10k+5}\\||-397\cdot 182^{9k+5}+10954\cdot 182^{8k+4}-743\cdot 182^{7k+4}+6552\cdot 182^{6k+3}-246\cdot 182^{5k+3}\\||+1320\cdot 182^{4k+2}-30\cdot 182^{3k+2}+91\cdot 182^{2k+1}-182^{k+1}+1)\\|\times|(182^{144k+72}+182^{143k+72}+91\cdot 182^{142k+71}+30\cdot 182^{141k+71}+1320\cdot 182^{140k+70}\\||+246\cdot 182^{139k+70}+6552\cdot 182^{138k+69}+743\cdot 182^{137k+69}+10954\cdot 182^{136k+68}+397\cdot 182^{135k+68}\\||-9464\cdot 182^{134k+67}-2314\cdot 182^{133k+67}-50340\cdot 182^{132k+66}-3869\cdot 182^{131k+66}-24843\cdot 182^{130k+65}\\||+2276\cdot 182^{129k+65}+94389\cdot 182^{128k+64}+9766\cdot 182^{127k+64}+110656\cdot 182^{126k+63}+1712\cdot 182^{125k+63}\\||-101262\cdot 182^{124k+62}-14966\cdot 182^{123k+62}-216398\cdot 182^{122k+61}-8772\cdot 182^{121k+61}+58520\cdot 182^{120k+60}\\||+16958\cdot 182^{119k+60}+297479\cdot 182^{118k+59}+15930\cdot 182^{117k+59}+11486\cdot 182^{116k+58}-15666\cdot 182^{115k+58}\\||-333515\cdot 182^{114k+57}-21056\cdot 182^{113k+57}-84536\cdot 182^{112k+56}+11821\cdot 182^{111k+56}+316134\cdot 182^{110k+55}\\||+22372\cdot 182^{109k+55}+128514\cdot 182^{108k+54}-7701\cdot 182^{107k+54}-265720\cdot 182^{106k+53}-20102\cdot 182^{105k+53}\\||-124863\cdot 182^{104k+52}+6266\cdot 182^{103k+52}+236782\cdot 182^{102k+51}+18356\cdot 182^{101k+51}+113427\cdot 182^{100k+50}\\||-6646\cdot 182^{99k+50}-248612\cdot 182^{98k+49}-20336\cdot 182^{97k+49}-148386\cdot 182^{96k+48}+4998\cdot 182^{95k+48}\\||+261898\cdot 182^{94k+47}+24492\cdot 182^{93k+47}+228763\cdot 182^{92k+46}-89\cdot 182^{91k+46}-247702\cdot 182^{90k+45}\\||-28306\cdot 182^{89k+45}-323842\cdot 182^{88k+44}-6628\cdot 182^{87k+44}+209755\cdot 182^{86k+43}+30985\cdot 182^{85k+43}\\||+416942\cdot 182^{84k+42}+14356\cdot 182^{83k+42}-143962\cdot 182^{82k+41}-31058\cdot 182^{81k+41}-479706\cdot 182^{80k+40}\\||-21184\cdot 182^{79k+40}+63791\cdot 182^{78k+39}+28218\cdot 182^{77k+39}+490070\cdot 182^{76k+38}+24436\cdot 182^{75k+38}\\||-12558\cdot 182^{74k+37}-25612\cdot 182^{73k+37}-482173\cdot 182^{72k+36}-25612\cdot 182^{71k+36}-12558\cdot 182^{70k+35}\\||+24436\cdot 182^{69k+35}+490070\cdot 182^{68k+34}+28218\cdot 182^{67k+34}+63791\cdot 182^{66k+33}-21184\cdot 182^{65k+33}\\||-479706\cdot 182^{64k+32}-31058\cdot 182^{63k+32}-143962\cdot 182^{62k+31}+14356\cdot 182^{61k+31}+416942\cdot 182^{60k+30}\\||+30985\cdot 182^{59k+30}+209755\cdot 182^{58k+29}-6628\cdot 182^{57k+29}-323842\cdot 182^{56k+28}-28306\cdot 182^{55k+28}\\||-247702\cdot 182^{54k+27}-89\cdot 182^{53k+27}+228763\cdot 182^{52k+26}+24492\cdot 182^{51k+26}+261898\cdot 182^{50k+25}\\||+4998\cdot 182^{49k+25}-148386\cdot 182^{48k+24}-20336\cdot 182^{47k+24}-248612\cdot 182^{46k+23}-6646\cdot 182^{45k+23}\\||+113427\cdot 182^{44k+22}+18356\cdot 182^{43k+22}+236782\cdot 182^{42k+21}+6266\cdot 182^{41k+21}-124863\cdot 182^{40k+20}\\||-20102\cdot 182^{39k+20}-265720\cdot 182^{38k+19}-7701\cdot 182^{37k+19}+128514\cdot 182^{36k+18}+22372\cdot 182^{35k+18}\\||+316134\cdot 182^{34k+17}+11821\cdot 182^{33k+17}-84536\cdot 182^{32k+16}-21056\cdot 182^{31k+16}-333515\cdot 182^{30k+15}\\||-15666\cdot 182^{29k+15}+11486\cdot 182^{28k+14}+15930\cdot 182^{27k+14}+297479\cdot 182^{26k+13}+16958\cdot 182^{25k+13}\\||+58520\cdot 182^{24k+12}-8772\cdot 182^{23k+12}-216398\cdot 182^{22k+11}-14966\cdot 182^{21k+11}-101262\cdot 182^{20k+10}\\||+1712\cdot 182^{19k+10}+110656\cdot 182^{18k+9}+9766\cdot 182^{17k+9}+94389\cdot 182^{16k+8}+2276\cdot 182^{15k+8}\\||-24843\cdot 182^{14k+7}-3869\cdot 182^{13k+7}-50340\cdot 182^{12k+6}-2314\cdot 182^{11k+6}-9464\cdot 182^{10k+5}\\||+397\cdot 182^{9k+5}+10954\cdot 182^{8k+4}+743\cdot 182^{7k+4}+6552\cdot 182^{6k+3}+246\cdot 182^{5k+3}\\||+1320\cdot 182^{4k+2}+30\cdot 182^{3k+2}+91\cdot 182^{2k+1}+182^{k+1}+1)\\{\large\Phi}_{366}(183^{2k+1})|=|183^{240k+120}+183^{238k+119}-183^{234k+117}-183^{232k+116}+183^{228k+114}\\||+183^{226k+113}-183^{222k+111}-183^{220k+110}+183^{216k+108}+183^{214k+107}\\||-183^{210k+105}-183^{208k+104}+183^{204k+102}+183^{202k+101}-183^{198k+99}\\||-183^{196k+98}+183^{192k+96}+183^{190k+95}-183^{186k+93}-183^{184k+92}\\||+183^{180k+90}+183^{178k+89}-183^{174k+87}-183^{172k+86}+183^{168k+84}\\||+183^{166k+83}-183^{162k+81}-183^{160k+80}+183^{156k+78}+183^{154k+77}\\||-183^{150k+75}-183^{148k+74}+183^{144k+72}+183^{142k+71}-183^{138k+69}\\||-183^{136k+68}+183^{132k+66}+183^{130k+65}-183^{126k+63}-183^{124k+62}\\||+183^{120k+60}-183^{116k+58}-183^{114k+57}+183^{110k+55}+183^{108k+54}\\||-183^{104k+52}-183^{102k+51}+183^{98k+49}+183^{96k+48}-183^{92k+46}\\||-183^{90k+45}+183^{86k+43}+183^{84k+42}-183^{80k+40}-183^{78k+39}\\||+183^{74k+37}+183^{72k+36}-183^{68k+34}-183^{66k+33}+183^{62k+31}\\||+183^{60k+30}-183^{56k+28}-183^{54k+27}+183^{50k+25}+183^{48k+24}\\||-183^{44k+22}-183^{42k+21}+183^{38k+19}+183^{36k+18}-183^{32k+16}\\||-183^{30k+15}+183^{26k+13}+183^{24k+12}-183^{20k+10}-183^{18k+9}\\||+183^{14k+7}+183^{12k+6}-183^{8k+4}-183^{6k+3}+183^{2k+1}+1\\|=|(183^{120k+60}-183^{119k+60}+92\cdot 183^{118k+59}-31\cdot 183^{117k+59}+1441\cdot 183^{116k+58}\\||-294\cdot 183^{115k+58}+9161\cdot 183^{114k+57}-1333\cdot 183^{113k+57}+30748\cdot 183^{112k+56}-3375\cdot 183^{111k+56}\\||+58811\cdot 183^{110k+55}-4774\cdot 183^{109k+55}+57643\cdot 183^{108k+54}-2649\cdot 183^{107k+54}+2528\cdot 183^{106k+53}\\||+2449\cdot 183^{105k+53}-58979\cdot 183^{104k+52}+4800\cdot 183^{103k+52}-48037\cdot 183^{102k+51}+1081\cdot 183^{101k+51}\\||+22150\cdot 183^{100k+50}-3591\cdot 183^{99k+50}+57227\cdot 183^{98k+49}-3718\cdot 183^{97k+49}+37291\cdot 183^{96k+48}\\||-2085\cdot 183^{95k+48}+26438\cdot 183^{94k+47}-1937\cdot 183^{93k+47}+16591\cdot 183^{92k+46}+732\cdot 183^{91k+46}\\||-49843\cdot 183^{90k+45}+6485\cdot 183^{89k+45}-102950\cdot 183^{88k+44}+6017\cdot 183^{87k+44}-24829\cdot 183^{86k+43}\\||-3546\cdot 183^{85k+43}+109615\cdot 183^{84k+42}-10175\cdot 183^{83k+42}+125432\cdot 183^{82k+41}-6225\cdot 183^{81k+41}\\||+35245\cdot 183^{80k+40}+212\cdot 183^{79k+40}-23953\cdot 183^{78k+39}+2607\cdot 183^{77k+39}-49586\cdot 183^{76k+38}\\||+5459\cdot 183^{75k+38}-101995\cdot 183^{74k+37}+8648\cdot 183^{73k+37}-101093\cdot 183^{72k+36}+3561\cdot 183^{71k+36}\\||+29804\cdot 183^{70k+35}-7873\cdot 183^{69k+35}+153583\cdot 183^{68k+34}-11440\cdot 183^{67k+34}+113597\cdot 183^{66k+33}\\||-3747\cdot 183^{65k+33}-7952\cdot 183^{64k+32}+3275\cdot 183^{63k+32}-55849\cdot 183^{62k+31}+3936\cdot 183^{61k+31}\\||-50327\cdot 183^{60k+30}+3936\cdot 183^{59k+30}-55849\cdot 183^{58k+29}+3275\cdot 183^{57k+29}-7952\cdot 183^{56k+28}\\||-3747\cdot 183^{55k+28}+113597\cdot 183^{54k+27}-11440\cdot 183^{53k+27}+153583\cdot 183^{52k+26}-7873\cdot 183^{51k+26}\\||+29804\cdot 183^{50k+25}+3561\cdot 183^{49k+25}-101093\cdot 183^{48k+24}+8648\cdot 183^{47k+24}-101995\cdot 183^{46k+23}\\||+5459\cdot 183^{45k+23}-49586\cdot 183^{44k+22}+2607\cdot 183^{43k+22}-23953\cdot 183^{42k+21}+212\cdot 183^{41k+21}\\||+35245\cdot 183^{40k+20}-6225\cdot 183^{39k+20}+125432\cdot 183^{38k+19}-10175\cdot 183^{37k+19}+109615\cdot 183^{36k+18}\\||-3546\cdot 183^{35k+18}-24829\cdot 183^{34k+17}+6017\cdot 183^{33k+17}-102950\cdot 183^{32k+16}+6485\cdot 183^{31k+16}\\||-49843\cdot 183^{30k+15}+732\cdot 183^{29k+15}+16591\cdot 183^{28k+14}-1937\cdot 183^{27k+14}+26438\cdot 183^{26k+13}\\||-2085\cdot 183^{25k+13}+37291\cdot 183^{24k+12}-3718\cdot 183^{23k+12}+57227\cdot 183^{22k+11}-3591\cdot 183^{21k+11}\\||+22150\cdot 183^{20k+10}+1081\cdot 183^{19k+10}-48037\cdot 183^{18k+9}+4800\cdot 183^{17k+9}-58979\cdot 183^{16k+8}\\||+2449\cdot 183^{15k+8}+2528\cdot 183^{14k+7}-2649\cdot 183^{13k+7}+57643\cdot 183^{12k+6}-4774\cdot 183^{11k+6}\\||+58811\cdot 183^{10k+5}-3375\cdot 183^{9k+5}+30748\cdot 183^{8k+4}-1333\cdot 183^{7k+4}+9161\cdot 183^{6k+3}\\||-294\cdot 183^{5k+3}+1441\cdot 183^{4k+2}-31\cdot 183^{3k+2}+92\cdot 183^{2k+1}-183^{k+1}+1)\\|\times|(183^{120k+60}+183^{119k+60}+92\cdot 183^{118k+59}+31\cdot 183^{117k+59}+1441\cdot 183^{116k+58}\\||+294\cdot 183^{115k+58}+9161\cdot 183^{114k+57}+1333\cdot 183^{113k+57}+30748\cdot 183^{112k+56}+3375\cdot 183^{111k+56}\\||+58811\cdot 183^{110k+55}+4774\cdot 183^{109k+55}+57643\cdot 183^{108k+54}+2649\cdot 183^{107k+54}+2528\cdot 183^{106k+53}\\||-2449\cdot 183^{105k+53}-58979\cdot 183^{104k+52}-4800\cdot 183^{103k+52}-48037\cdot 183^{102k+51}-1081\cdot 183^{101k+51}\\||+22150\cdot 183^{100k+50}+3591\cdot 183^{99k+50}+57227\cdot 183^{98k+49}+3718\cdot 183^{97k+49}+37291\cdot 183^{96k+48}\\||+2085\cdot 183^{95k+48}+26438\cdot 183^{94k+47}+1937\cdot 183^{93k+47}+16591\cdot 183^{92k+46}-732\cdot 183^{91k+46}\\||-49843\cdot 183^{90k+45}-6485\cdot 183^{89k+45}-102950\cdot 183^{88k+44}-6017\cdot 183^{87k+44}-24829\cdot 183^{86k+43}\\||+3546\cdot 183^{85k+43}+109615\cdot 183^{84k+42}+10175\cdot 183^{83k+42}+125432\cdot 183^{82k+41}+6225\cdot 183^{81k+41}\\||+35245\cdot 183^{80k+40}-212\cdot 183^{79k+40}-23953\cdot 183^{78k+39}-2607\cdot 183^{77k+39}-49586\cdot 183^{76k+38}\\||-5459\cdot 183^{75k+38}-101995\cdot 183^{74k+37}-8648\cdot 183^{73k+37}-101093\cdot 183^{72k+36}-3561\cdot 183^{71k+36}\\||+29804\cdot 183^{70k+35}+7873\cdot 183^{69k+35}+153583\cdot 183^{68k+34}+11440\cdot 183^{67k+34}+113597\cdot 183^{66k+33}\\||+3747\cdot 183^{65k+33}-7952\cdot 183^{64k+32}-3275\cdot 183^{63k+32}-55849\cdot 183^{62k+31}-3936\cdot 183^{61k+31}\\||-50327\cdot 183^{60k+30}-3936\cdot 183^{59k+30}-55849\cdot 183^{58k+29}-3275\cdot 183^{57k+29}-7952\cdot 183^{56k+28}\\||+3747\cdot 183^{55k+28}+113597\cdot 183^{54k+27}+11440\cdot 183^{53k+27}+153583\cdot 183^{52k+26}+7873\cdot 183^{51k+26}\\||+29804\cdot 183^{50k+25}-3561\cdot 183^{49k+25}-101093\cdot 183^{48k+24}-8648\cdot 183^{47k+24}-101995\cdot 183^{46k+23}\\||-5459\cdot 183^{45k+23}-49586\cdot 183^{44k+22}-2607\cdot 183^{43k+22}-23953\cdot 183^{42k+21}-212\cdot 183^{41k+21}\\||+35245\cdot 183^{40k+20}+6225\cdot 183^{39k+20}+125432\cdot 183^{38k+19}+10175\cdot 183^{37k+19}+109615\cdot 183^{36k+18}\\||+3546\cdot 183^{35k+18}-24829\cdot 183^{34k+17}-6017\cdot 183^{33k+17}-102950\cdot 183^{32k+16}-6485\cdot 183^{31k+16}\\||-49843\cdot 183^{30k+15}-732\cdot 183^{29k+15}+16591\cdot 183^{28k+14}+1937\cdot 183^{27k+14}+26438\cdot 183^{26k+13}\\||+2085\cdot 183^{25k+13}+37291\cdot 183^{24k+12}+3718\cdot 183^{23k+12}+57227\cdot 183^{22k+11}+3591\cdot 183^{21k+11}\\||+22150\cdot 183^{20k+10}-1081\cdot 183^{19k+10}-48037\cdot 183^{18k+9}-4800\cdot 183^{17k+9}-58979\cdot 183^{16k+8}\\||-2449\cdot 183^{15k+8}+2528\cdot 183^{14k+7}+2649\cdot 183^{13k+7}+57643\cdot 183^{12k+6}+4774\cdot 183^{11k+6}\\||+58811\cdot 183^{10k+5}+3375\cdot 183^{9k+5}+30748\cdot 183^{8k+4}+1333\cdot 183^{7k+4}+9161\cdot 183^{6k+3}\\||+294\cdot 183^{5k+3}+1441\cdot 183^{4k+2}+31\cdot 183^{3k+2}+92\cdot 183^{2k+1}+183^{k+1}+1)\\{\large\Phi}_{185}(185^{2k+1})|=|185^{288k+144}-185^{286k+143}+185^{278k+139}-185^{276k+138}+185^{268k+134}\\||-185^{266k+133}+185^{258k+129}-185^{256k+128}+185^{248k+124}-185^{246k+123}\\||+185^{238k+119}-185^{236k+118}+185^{228k+114}-185^{226k+113}+185^{218k+109}\\||-185^{216k+108}+185^{214k+107}-185^{212k+106}+185^{208k+104}-185^{206k+103}\\||+185^{204k+102}-185^{202k+101}+185^{198k+99}-185^{196k+98}+185^{194k+97}\\||-185^{192k+96}+185^{188k+94}-185^{186k+93}+185^{184k+92}-185^{182k+91}\\||+185^{178k+89}-185^{176k+88}+185^{174k+87}-185^{172k+86}+185^{168k+84}\\||-185^{166k+83}+185^{164k+82}-185^{162k+81}+185^{158k+79}-185^{156k+78}\\||+185^{154k+77}-185^{152k+76}+185^{148k+74}-185^{146k+73}+185^{144k+72}\\||-185^{142k+71}+185^{140k+70}-185^{136k+68}+185^{134k+67}-185^{132k+66}\\||+185^{130k+65}-185^{126k+63}+185^{124k+62}-185^{122k+61}+185^{120k+60}\\||-185^{116k+58}+185^{114k+57}-185^{112k+56}+185^{110k+55}-185^{106k+53}\\||+185^{104k+52}-185^{102k+51}+185^{100k+50}-185^{96k+48}+185^{94k+47}\\||-185^{92k+46}+185^{90k+45}-185^{86k+43}+185^{84k+42}-185^{82k+41}\\||+185^{80k+40}-185^{76k+38}+185^{74k+37}-185^{72k+36}+185^{70k+35}\\||-185^{62k+31}+185^{60k+30}-185^{52k+26}+185^{50k+25}-185^{42k+21}\\||+185^{40k+20}-185^{32k+16}+185^{30k+15}-185^{22k+11}+185^{20k+10}\\||-185^{12k+6}+185^{10k+5}-185^{2k+1}+1\\|=|(185^{144k+72}-185^{143k+72}+92\cdot 185^{142k+71}-30\cdot 185^{141k+71}+1318\cdot 185^{140k+70}\\||-239\cdot 185^{139k+70}+6209\cdot 185^{138k+69}-660\cdot 185^{137k+69}+8760\cdot 185^{136k+68}-170\cdot 185^{135k+68}\\||-11239\cdot 185^{134k+67}+2029\cdot 185^{133k+67}-37498\cdot 185^{132k+66}+2306\cdot 185^{131k+66}-6032\cdot 185^{130k+65}\\||-2317\cdot 185^{129k+65}+66569\cdot 185^{128k+64}-6138\cdot 185^{127k+64}+71990\cdot 185^{126k+63}-2230\cdot 185^{125k+63}\\||-33459\cdot 185^{124k+62}+7417\cdot 185^{123k+62}-145398\cdot 185^{122k+61}+10422\cdot 185^{121k+61}-80252\cdot 185^{120k+60}\\||-1733\cdot 185^{119k+60}+132909\cdot 185^{118k+59}-15160\cdot 185^{117k+59}+215070\cdot 185^{116k+58}-11268\cdot 185^{115k+58}\\||+35601\cdot 185^{114k+57}+7855\cdot 185^{113k+57}-231978\cdot 185^{112k+56}+21720\cdot 185^{111k+56}-265702\cdot 185^{110k+55}\\||+10365\cdot 185^{109k+55}+44179\cdot 185^{108k+54}-16865\cdot 185^{107k+54}+351725\cdot 185^{106k+53}-27106\cdot 185^{105k+53}\\||+270521\cdot 185^{104k+52}-5963\cdot 185^{103k+52}-148153\cdot 185^{102k+51}+25663\cdot 185^{101k+51}-453982\cdot 185^{100k+50}\\||+30819\cdot 185^{99k+50}-245131\cdot 185^{98k+49}-1367\cdot 185^{97k+49}+289115\cdot 185^{96k+48}-35242\cdot 185^{95k+48}\\||+526481\cdot 185^{94k+47}-30171\cdot 185^{93k+47}+159617\cdot 185^{92k+46}+11317\cdot 185^{91k+46}-433182\cdot 185^{90k+45}\\||+43035\cdot 185^{89k+45}-554711\cdot 185^{88k+44}+25365\cdot 185^{87k+44}-20085\cdot 185^{86k+43}-23326\cdot 185^{85k+43}\\||+559521\cdot 185^{84k+42}-46231\cdot 185^{83k+42}+501307\cdot 185^{82k+41}-15809\cdot 185^{81k+41}-141362\cdot 185^{80k+40}\\||+33533\cdot 185^{79k+40}-630101\cdot 185^{78k+39}+44773\cdot 185^{77k+39}-400145\cdot 185^{76k+38}+5102\cdot 185^{75k+38}\\||+281021\cdot 185^{74k+37}-40035\cdot 185^{73k+37}+642057\cdot 185^{72k+36}-40035\cdot 185^{71k+36}+281021\cdot 185^{70k+35}\\||+5102\cdot 185^{69k+35}-400145\cdot 185^{68k+34}+44773\cdot 185^{67k+34}-630101\cdot 185^{66k+33}+33533\cdot 185^{65k+33}\\||-141362\cdot 185^{64k+32}-15809\cdot 185^{63k+32}+501307\cdot 185^{62k+31}-46231\cdot 185^{61k+31}+559521\cdot 185^{60k+30}\\||-23326\cdot 185^{59k+30}-20085\cdot 185^{58k+29}+25365\cdot 185^{57k+29}-554711\cdot 185^{56k+28}+43035\cdot 185^{55k+28}\\||-433182\cdot 185^{54k+27}+11317\cdot 185^{53k+27}+159617\cdot 185^{52k+26}-30171\cdot 185^{51k+26}+526481\cdot 185^{50k+25}\\||-35242\cdot 185^{49k+25}+289115\cdot 185^{48k+24}-1367\cdot 185^{47k+24}-245131\cdot 185^{46k+23}+30819\cdot 185^{45k+23}\\||-453982\cdot 185^{44k+22}+25663\cdot 185^{43k+22}-148153\cdot 185^{42k+21}-5963\cdot 185^{41k+21}+270521\cdot 185^{40k+20}\\||-27106\cdot 185^{39k+20}+351725\cdot 185^{38k+19}-16865\cdot 185^{37k+19}+44179\cdot 185^{36k+18}+10365\cdot 185^{35k+18}\\||-265702\cdot 185^{34k+17}+21720\cdot 185^{33k+17}-231978\cdot 185^{32k+16}+7855\cdot 185^{31k+16}+35601\cdot 185^{30k+15}\\||-11268\cdot 185^{29k+15}+215070\cdot 185^{28k+14}-15160\cdot 185^{27k+14}+132909\cdot 185^{26k+13}-1733\cdot 185^{25k+13}\\||-80252\cdot 185^{24k+12}+10422\cdot 185^{23k+12}-145398\cdot 185^{22k+11}+7417\cdot 185^{21k+11}-33459\cdot 185^{20k+10}\\||-2230\cdot 185^{19k+10}+71990\cdot 185^{18k+9}-6138\cdot 185^{17k+9}+66569\cdot 185^{16k+8}-2317\cdot 185^{15k+8}\\||-6032\cdot 185^{14k+7}+2306\cdot 185^{13k+7}-37498\cdot 185^{12k+6}+2029\cdot 185^{11k+6}-11239\cdot 185^{10k+5}\\||-170\cdot 185^{9k+5}+8760\cdot 185^{8k+4}-660\cdot 185^{7k+4}+6209\cdot 185^{6k+3}-239\cdot 185^{5k+3}\\||+1318\cdot 185^{4k+2}-30\cdot 185^{3k+2}+92\cdot 185^{2k+1}-185^{k+1}+1)\\|\times|(185^{144k+72}+185^{143k+72}+92\cdot 185^{142k+71}+30\cdot 185^{141k+71}+1318\cdot 185^{140k+70}\\||+239\cdot 185^{139k+70}+6209\cdot 185^{138k+69}+660\cdot 185^{137k+69}+8760\cdot 185^{136k+68}+170\cdot 185^{135k+68}\\||-11239\cdot 185^{134k+67}-2029\cdot 185^{133k+67}-37498\cdot 185^{132k+66}-2306\cdot 185^{131k+66}-6032\cdot 185^{130k+65}\\||+2317\cdot 185^{129k+65}+66569\cdot 185^{128k+64}+6138\cdot 185^{127k+64}+71990\cdot 185^{126k+63}+2230\cdot 185^{125k+63}\\||-33459\cdot 185^{124k+62}-7417\cdot 185^{123k+62}-145398\cdot 185^{122k+61}-10422\cdot 185^{121k+61}-80252\cdot 185^{120k+60}\\||+1733\cdot 185^{119k+60}+132909\cdot 185^{118k+59}+15160\cdot 185^{117k+59}+215070\cdot 185^{116k+58}+11268\cdot 185^{115k+58}\\||+35601\cdot 185^{114k+57}-7855\cdot 185^{113k+57}-231978\cdot 185^{112k+56}-21720\cdot 185^{111k+56}-265702\cdot 185^{110k+55}\\||-10365\cdot 185^{109k+55}+44179\cdot 185^{108k+54}+16865\cdot 185^{107k+54}+351725\cdot 185^{106k+53}+27106\cdot 185^{105k+53}\\||+270521\cdot 185^{104k+52}+5963\cdot 185^{103k+52}-148153\cdot 185^{102k+51}-25663\cdot 185^{101k+51}-453982\cdot 185^{100k+50}\\||-30819\cdot 185^{99k+50}-245131\cdot 185^{98k+49}+1367\cdot 185^{97k+49}+289115\cdot 185^{96k+48}+35242\cdot 185^{95k+48}\\||+526481\cdot 185^{94k+47}+30171\cdot 185^{93k+47}+159617\cdot 185^{92k+46}-11317\cdot 185^{91k+46}-433182\cdot 185^{90k+45}\\||-43035\cdot 185^{89k+45}-554711\cdot 185^{88k+44}-25365\cdot 185^{87k+44}-20085\cdot 185^{86k+43}+23326\cdot 185^{85k+43}\\||+559521\cdot 185^{84k+42}+46231\cdot 185^{83k+42}+501307\cdot 185^{82k+41}+15809\cdot 185^{81k+41}-141362\cdot 185^{80k+40}\\||-33533\cdot 185^{79k+40}-630101\cdot 185^{78k+39}-44773\cdot 185^{77k+39}-400145\cdot 185^{76k+38}-5102\cdot 185^{75k+38}\\||+281021\cdot 185^{74k+37}+40035\cdot 185^{73k+37}+642057\cdot 185^{72k+36}+40035\cdot 185^{71k+36}+281021\cdot 185^{70k+35}\\||-5102\cdot 185^{69k+35}-400145\cdot 185^{68k+34}-44773\cdot 185^{67k+34}-630101\cdot 185^{66k+33}-33533\cdot 185^{65k+33}\\||-141362\cdot 185^{64k+32}+15809\cdot 185^{63k+32}+501307\cdot 185^{62k+31}+46231\cdot 185^{61k+31}+559521\cdot 185^{60k+30}\\||+23326\cdot 185^{59k+30}-20085\cdot 185^{58k+29}-25365\cdot 185^{57k+29}-554711\cdot 185^{56k+28}-43035\cdot 185^{55k+28}\\||-433182\cdot 185^{54k+27}-11317\cdot 185^{53k+27}+159617\cdot 185^{52k+26}+30171\cdot 185^{51k+26}+526481\cdot 185^{50k+25}\\||+35242\cdot 185^{49k+25}+289115\cdot 185^{48k+24}+1367\cdot 185^{47k+24}-245131\cdot 185^{46k+23}-30819\cdot 185^{45k+23}\\||-453982\cdot 185^{44k+22}-25663\cdot 185^{43k+22}-148153\cdot 185^{42k+21}+5963\cdot 185^{41k+21}+270521\cdot 185^{40k+20}\\||+27106\cdot 185^{39k+20}+351725\cdot 185^{38k+19}+16865\cdot 185^{37k+19}+44179\cdot 185^{36k+18}-10365\cdot 185^{35k+18}\\||-265702\cdot 185^{34k+17}-21720\cdot 185^{33k+17}-231978\cdot 185^{32k+16}-7855\cdot 185^{31k+16}+35601\cdot 185^{30k+15}\\||+11268\cdot 185^{29k+15}+215070\cdot 185^{28k+14}+15160\cdot 185^{27k+14}+132909\cdot 185^{26k+13}+1733\cdot 185^{25k+13}\\||-80252\cdot 185^{24k+12}-10422\cdot 185^{23k+12}-145398\cdot 185^{22k+11}-7417\cdot 185^{21k+11}-33459\cdot 185^{20k+10}\\||+2230\cdot 185^{19k+10}+71990\cdot 185^{18k+9}+6138\cdot 185^{17k+9}+66569\cdot 185^{16k+8}+2317\cdot 185^{15k+8}\\||-6032\cdot 185^{14k+7}-2306\cdot 185^{13k+7}-37498\cdot 185^{12k+6}-2029\cdot 185^{11k+6}-11239\cdot 185^{10k+5}\\||+170\cdot 185^{9k+5}+8760\cdot 185^{8k+4}+660\cdot 185^{7k+4}+6209\cdot 185^{6k+3}+239\cdot 185^{5k+3}\\||+1318\cdot 185^{4k+2}+30\cdot 185^{3k+2}+92\cdot 185^{2k+1}+185^{k+1}+1)\end{eqnarray}%%
Φ372(1862k+1)⋯Φ380(1902k+1)Φ372(1862k+1)⋯Φ380(1902k+1)
%%\begin{eqnarray}{\large\Phi}_{372}(186^{2k+1})|=|186^{240k+120}+186^{236k+118}-186^{228k+114}-186^{224k+112}+186^{216k+108}\\||+186^{212k+106}-186^{204k+102}-186^{200k+100}+186^{192k+96}+186^{188k+94}\\||-186^{180k+90}-186^{176k+88}+186^{168k+84}+186^{164k+82}-186^{156k+78}\\||-186^{152k+76}+186^{144k+72}+186^{140k+70}-186^{132k+66}-186^{128k+64}\\||+186^{120k+60}-186^{112k+56}-186^{108k+54}+186^{100k+50}+186^{96k+48}\\||-186^{88k+44}-186^{84k+42}+186^{76k+38}+186^{72k+36}-186^{64k+32}\\||-186^{60k+30}+186^{52k+26}+186^{48k+24}-186^{40k+20}-186^{36k+18}\\||+186^{28k+14}+186^{24k+12}-186^{16k+8}-186^{12k+6}+186^{4k+2}+1\\|=|(186^{120k+60}-186^{119k+60}+93\cdot 186^{118k+59}-31\cdot 186^{117k+59}+1442\cdot 186^{116k+58}\\||-289\cdot 186^{115k+58}+9021\cdot 186^{114k+57}-1311\cdot 186^{113k+57}+31585\cdot 186^{112k+56}-3744\cdot 186^{111k+56}\\||+77376\cdot 186^{110k+55}-8218\cdot 186^{109k+55}+157187\cdot 186^{108k+54}-15739\cdot 186^{107k+54}+285603\cdot 186^{106k+53}\\||-27127\cdot 186^{105k+53}+466750\cdot 186^{104k+52}-42151\cdot 186^{103k+52}+693687\cdot 186^{102k+51}-60343\cdot 186^{101k+51}\\||+961991\cdot 186^{100k+50}-81294\cdot 186^{99k+50}+1259592\cdot 186^{98k+49}-103426\cdot 186^{97k+49}+1558081\cdot 186^{96k+48}\\||-124657\cdot 186^{95k+48}+1835541\cdot 186^{94k+47}-143973\cdot 186^{93k+47}+2082638\cdot 186^{92k+46}-160653\cdot 186^{91k+46}\\||+2287149\cdot 186^{90k+45}-173826\cdot 186^{89k+45}+2442619\cdot 186^{88k+44}-183679\cdot 186^{87k+44}+2560290\cdot 186^{86k+43}\\||-191402\cdot 186^{85k+43}+2656865\cdot 186^{84k+42}-198048\cdot 186^{83k+42}+2743965\cdot 186^{82k+41}-204338\cdot 186^{81k+41}\\||+2830522\cdot 186^{80k+40}-210883\cdot 186^{79k+40}+2924199\cdot 186^{78k+39}-218162\cdot 186^{77k+39}+3029117\cdot 186^{76k+38}\\||-226153\cdot 186^{75k+38}+3139122\cdot 186^{74k+37}-234038\cdot 186^{73k+37}+3241591\cdot 186^{72k+36}-241110\cdot 186^{71k+36}\\||+3332283\cdot 186^{70k+35}-247344\cdot 186^{69k+35}+3410270\cdot 186^{68k+34}-252343\cdot 186^{67k+34}+3466017\cdot 186^{66k+33}\\||-255482\cdot 186^{65k+33}+3498139\cdot 186^{64k+32}-257317\cdot 186^{63k+32}+3518562\cdot 186^{62k+31}-258468\cdot 186^{61k+31}\\||+3527405\cdot 186^{60k+30}-258468\cdot 186^{59k+30}+3518562\cdot 186^{58k+29}-257317\cdot 186^{57k+29}+3498139\cdot 186^{56k+28}\\||-255482\cdot 186^{55k+28}+3466017\cdot 186^{54k+27}-252343\cdot 186^{53k+27}+3410270\cdot 186^{52k+26}-247344\cdot 186^{51k+26}\\||+3332283\cdot 186^{50k+25}-241110\cdot 186^{49k+25}+3241591\cdot 186^{48k+24}-234038\cdot 186^{47k+24}+3139122\cdot 186^{46k+23}\\||-226153\cdot 186^{45k+23}+3029117\cdot 186^{44k+22}-218162\cdot 186^{43k+22}+2924199\cdot 186^{42k+21}-210883\cdot 186^{41k+21}\\||+2830522\cdot 186^{40k+20}-204338\cdot 186^{39k+20}+2743965\cdot 186^{38k+19}-198048\cdot 186^{37k+19}+2656865\cdot 186^{36k+18}\\||-191402\cdot 186^{35k+18}+2560290\cdot 186^{34k+17}-183679\cdot 186^{33k+17}+2442619\cdot 186^{32k+16}-173826\cdot 186^{31k+16}\\||+2287149\cdot 186^{30k+15}-160653\cdot 186^{29k+15}+2082638\cdot 186^{28k+14}-143973\cdot 186^{27k+14}+1835541\cdot 186^{26k+13}\\||-124657\cdot 186^{25k+13}+1558081\cdot 186^{24k+12}-103426\cdot 186^{23k+12}+1259592\cdot 186^{22k+11}-81294\cdot 186^{21k+11}\\||+961991\cdot 186^{20k+10}-60343\cdot 186^{19k+10}+693687\cdot 186^{18k+9}-42151\cdot 186^{17k+9}+466750\cdot 186^{16k+8}\\||-27127\cdot 186^{15k+8}+285603\cdot 186^{14k+7}-15739\cdot 186^{13k+7}+157187\cdot 186^{12k+6}-8218\cdot 186^{11k+6}\\||+77376\cdot 186^{10k+5}-3744\cdot 186^{9k+5}+31585\cdot 186^{8k+4}-1311\cdot 186^{7k+4}+9021\cdot 186^{6k+3}\\||-289\cdot 186^{5k+3}+1442\cdot 186^{4k+2}-31\cdot 186^{3k+2}+93\cdot 186^{2k+1}-186^{k+1}+1)\\|\times|(186^{120k+60}+186^{119k+60}+93\cdot 186^{118k+59}+31\cdot 186^{117k+59}+1442\cdot 186^{116k+58}\\||+289\cdot 186^{115k+58}+9021\cdot 186^{114k+57}+1311\cdot 186^{113k+57}+31585\cdot 186^{112k+56}+3744\cdot 186^{111k+56}\\||+77376\cdot 186^{110k+55}+8218\cdot 186^{109k+55}+157187\cdot 186^{108k+54}+15739\cdot 186^{107k+54}+285603\cdot 186^{106k+53}\\||+27127\cdot 186^{105k+53}+466750\cdot 186^{104k+52}+42151\cdot 186^{103k+52}+693687\cdot 186^{102k+51}+60343\cdot 186^{101k+51}\\||+961991\cdot 186^{100k+50}+81294\cdot 186^{99k+50}+1259592\cdot 186^{98k+49}+103426\cdot 186^{97k+49}+1558081\cdot 186^{96k+48}\\||+124657\cdot 186^{95k+48}+1835541\cdot 186^{94k+47}+143973\cdot 186^{93k+47}+2082638\cdot 186^{92k+46}+160653\cdot 186^{91k+46}\\||+2287149\cdot 186^{90k+45}+173826\cdot 186^{89k+45}+2442619\cdot 186^{88k+44}+183679\cdot 186^{87k+44}+2560290\cdot 186^{86k+43}\\||+191402\cdot 186^{85k+43}+2656865\cdot 186^{84k+42}+198048\cdot 186^{83k+42}+2743965\cdot 186^{82k+41}+204338\cdot 186^{81k+41}\\||+2830522\cdot 186^{80k+40}+210883\cdot 186^{79k+40}+2924199\cdot 186^{78k+39}+218162\cdot 186^{77k+39}+3029117\cdot 186^{76k+38}\\||+226153\cdot 186^{75k+38}+3139122\cdot 186^{74k+37}+234038\cdot 186^{73k+37}+3241591\cdot 186^{72k+36}+241110\cdot 186^{71k+36}\\||+3332283\cdot 186^{70k+35}+247344\cdot 186^{69k+35}+3410270\cdot 186^{68k+34}+252343\cdot 186^{67k+34}+3466017\cdot 186^{66k+33}\\||+255482\cdot 186^{65k+33}+3498139\cdot 186^{64k+32}+257317\cdot 186^{63k+32}+3518562\cdot 186^{62k+31}+258468\cdot 186^{61k+31}\\||+3527405\cdot 186^{60k+30}+258468\cdot 186^{59k+30}+3518562\cdot 186^{58k+29}+257317\cdot 186^{57k+29}+3498139\cdot 186^{56k+28}\\||+255482\cdot 186^{55k+28}+3466017\cdot 186^{54k+27}+252343\cdot 186^{53k+27}+3410270\cdot 186^{52k+26}+247344\cdot 186^{51k+26}\\||+3332283\cdot 186^{50k+25}+241110\cdot 186^{49k+25}+3241591\cdot 186^{48k+24}+234038\cdot 186^{47k+24}+3139122\cdot 186^{46k+23}\\||+226153\cdot 186^{45k+23}+3029117\cdot 186^{44k+22}+218162\cdot 186^{43k+22}+2924199\cdot 186^{42k+21}+210883\cdot 186^{41k+21}\\||+2830522\cdot 186^{40k+20}+204338\cdot 186^{39k+20}+2743965\cdot 186^{38k+19}+198048\cdot 186^{37k+19}+2656865\cdot 186^{36k+18}\\||+191402\cdot 186^{35k+18}+2560290\cdot 186^{34k+17}+183679\cdot 186^{33k+17}+2442619\cdot 186^{32k+16}+173826\cdot 186^{31k+16}\\||+2287149\cdot 186^{30k+15}+160653\cdot 186^{29k+15}+2082638\cdot 186^{28k+14}+143973\cdot 186^{27k+14}+1835541\cdot 186^{26k+13}\\||+124657\cdot 186^{25k+13}+1558081\cdot 186^{24k+12}+103426\cdot 186^{23k+12}+1259592\cdot 186^{22k+11}+81294\cdot 186^{21k+11}\\||+961991\cdot 186^{20k+10}+60343\cdot 186^{19k+10}+693687\cdot 186^{18k+9}+42151\cdot 186^{17k+9}+466750\cdot 186^{16k+8}\\||+27127\cdot 186^{15k+8}+285603\cdot 186^{14k+7}+15739\cdot 186^{13k+7}+157187\cdot 186^{12k+6}+8218\cdot 186^{11k+6}\\||+77376\cdot 186^{10k+5}+3744\cdot 186^{9k+5}+31585\cdot 186^{8k+4}+1311\cdot 186^{7k+4}+9021\cdot 186^{6k+3}\\||+289\cdot 186^{5k+3}+1442\cdot 186^{4k+2}+31\cdot 186^{3k+2}+93\cdot 186^{2k+1}+186^{k+1}+1)\\{\large\Phi}_{374}(187^{2k+1})|=|187^{320k+160}+187^{318k+159}-187^{298k+149}-187^{296k+148}-187^{286k+143}\\||-187^{284k+142}+187^{276k+138}+187^{274k+137}+187^{264k+132}+187^{262k+131}\\||-187^{254k+127}+187^{250k+125}-187^{242k+121}-187^{240k+120}+187^{232k+116}\\||-187^{228k+114}+187^{220k+110}-187^{216k+108}-187^{210k+105}+187^{206k+103}\\||-187^{198k+99}+187^{194k+97}+187^{188k+94}+187^{182k+91}+187^{176k+88}\\||-187^{172k+86}-187^{166k+83}-187^{160k+80}-187^{154k+77}-187^{148k+74}\\||+187^{144k+72}+187^{138k+69}+187^{132k+66}+187^{126k+63}-187^{122k+61}\\||+187^{114k+57}-187^{110k+55}-187^{104k+52}+187^{100k+50}-187^{92k+46}\\||+187^{88k+44}-187^{80k+40}-187^{78k+39}+187^{70k+35}-187^{66k+33}\\||+187^{58k+29}+187^{56k+28}+187^{46k+23}+187^{44k+22}-187^{36k+18}\\||-187^{34k+17}-187^{24k+12}-187^{22k+11}+187^{2k+1}+1\\|=|(187^{160k+80}-187^{159k+80}+94\cdot 187^{158k+79}-32\cdot 187^{157k+79}+1566\cdot 187^{156k+78}\\||-338\cdot 187^{155k+78}+11746\cdot 187^{154k+77}-1932\cdot 187^{153k+77}+53574\cdot 187^{152k+76}-7254\cdot 187^{151k+76}\\||+169208\cdot 187^{150k+75}-19563\cdot 187^{149k+75}+393515\cdot 187^{148k+74}-39454\cdot 187^{147k+74}+689216\cdot 187^{146k+73}\\||-59808\cdot 187^{145k+73}+895246\cdot 187^{144k+72}-65173\cdot 187^{143k+72}+783123\cdot 187^{142k+71}-41180\cdot 187^{141k+71}\\||+243474\cdot 187^{140k+70}+10442\cdot 187^{139k+70}-546525\cdot 187^{138k+69}+66707\cdot 187^{137k+69}-1190404\cdot 187^{136k+68}\\||+98682\cdot 187^{135k+68}-1382594\cdot 187^{134k+67}+95648\cdot 187^{133k+67}-1161125\cdot 187^{132k+66}+71825\cdot 187^{131k+66}\\||-801970\cdot 187^{130k+65}+46206\cdot 187^{129k+65}-461324\cdot 187^{128k+64}+19309\cdot 187^{127k+64}-10600\cdot 187^{126k+63}\\||-23179\cdot 187^{125k+63}+714194\cdot 187^{124k+62}-84180\cdot 187^{123k+62}+1578520\cdot 187^{122k+61}-141913\cdot 187^{121k+61}\\||+2190255\cdot 187^{120k+60}-168172\cdot 187^{119k+60}+2264172\cdot 187^{118k+59}-153304\cdot 187^{117k+59}+1816131\cdot 187^{116k+58}\\||-105248\cdot 187^{115k+58}+972279\cdot 187^{114k+57}-30364\cdot 187^{113k+57}-228290\cdot 187^{112k+56}+68592\cdot 187^{111k+56}\\||-1667635\cdot 187^{110k+55}+171484\cdot 187^{109k+55}-2883107\cdot 187^{108k+54}+234026\cdot 187^{107k+54}-3242486\cdot 187^{106k+53}\\||+219395\cdot 187^{105k+53}-2512602\cdot 187^{104k+52}+135869\cdot 187^{103k+52}-1132216\cdot 187^{102k+51}+30954\cdot 187^{101k+51}\\||+209948\cdot 187^{100k+50}-54675\cdot 187^{99k+50}+1204928\cdot 187^{98k+49}-118163\cdot 187^{97k+49}+2012540\cdot 187^{96k+48}\\||-175976\cdot 187^{95k+48}+2778701\cdot 187^{94k+47}-225402\cdot 187^{93k+47}+3254602\cdot 187^{92k+46}-236579\cdot 187^{91k+46}\\||+2983520\cdot 187^{90k+45}-182140\cdot 187^{89k+45}+1782647\cdot 187^{88k+44}-66900\cdot 187^{87k+44}-38139\cdot 187^{86k+43}\\||+72794\cdot 187^{85k+43}-1881076\cdot 187^{84k+42}+192431\cdot 187^{83k+42}-3198780\cdot 187^{82k+41}+259680\cdot 187^{81k+41}\\||-3670407\cdot 187^{80k+40}+259680\cdot 187^{79k+40}-3198780\cdot 187^{78k+39}+192431\cdot 187^{77k+39}-1881076\cdot 187^{76k+38}\\||+72794\cdot 187^{75k+38}-38139\cdot 187^{74k+37}-66900\cdot 187^{73k+37}+1782647\cdot 187^{72k+36}-182140\cdot 187^{71k+36}\\||+2983520\cdot 187^{70k+35}-236579\cdot 187^{69k+35}+3254602\cdot 187^{68k+34}-225402\cdot 187^{67k+34}+2778701\cdot 187^{66k+33}\\||-175976\cdot 187^{65k+33}+2012540\cdot 187^{64k+32}-118163\cdot 187^{63k+32}+1204928\cdot 187^{62k+31}-54675\cdot 187^{61k+31}\\||+209948\cdot 187^{60k+30}+30954\cdot 187^{59k+30}-1132216\cdot 187^{58k+29}+135869\cdot 187^{57k+29}-2512602\cdot 187^{56k+28}\\||+219395\cdot 187^{55k+28}-3242486\cdot 187^{54k+27}+234026\cdot 187^{53k+27}-2883107\cdot 187^{52k+26}+171484\cdot 187^{51k+26}\\||-1667635\cdot 187^{50k+25}+68592\cdot 187^{49k+25}-228290\cdot 187^{48k+24}-30364\cdot 187^{47k+24}+972279\cdot 187^{46k+23}\\||-105248\cdot 187^{45k+23}+1816131\cdot 187^{44k+22}-153304\cdot 187^{43k+22}+2264172\cdot 187^{42k+21}-168172\cdot 187^{41k+21}\\||+2190255\cdot 187^{40k+20}-141913\cdot 187^{39k+20}+1578520\cdot 187^{38k+19}-84180\cdot 187^{37k+19}+714194\cdot 187^{36k+18}\\||-23179\cdot 187^{35k+18}-10600\cdot 187^{34k+17}+19309\cdot 187^{33k+17}-461324\cdot 187^{32k+16}+46206\cdot 187^{31k+16}\\||-801970\cdot 187^{30k+15}+71825\cdot 187^{29k+15}-1161125\cdot 187^{28k+14}+95648\cdot 187^{27k+14}-1382594\cdot 187^{26k+13}\\||+98682\cdot 187^{25k+13}-1190404\cdot 187^{24k+12}+66707\cdot 187^{23k+12}-546525\cdot 187^{22k+11}+10442\cdot 187^{21k+11}\\||+243474\cdot 187^{20k+10}-41180\cdot 187^{19k+10}+783123\cdot 187^{18k+9}-65173\cdot 187^{17k+9}+895246\cdot 187^{16k+8}\\||-59808\cdot 187^{15k+8}+689216\cdot 187^{14k+7}-39454\cdot 187^{13k+7}+393515\cdot 187^{12k+6}-19563\cdot 187^{11k+6}\\||+169208\cdot 187^{10k+5}-7254\cdot 187^{9k+5}+53574\cdot 187^{8k+4}-1932\cdot 187^{7k+4}+11746\cdot 187^{6k+3}\\||-338\cdot 187^{5k+3}+1566\cdot 187^{4k+2}-32\cdot 187^{3k+2}+94\cdot 187^{2k+1}-187^{k+1}+1)\\|\times|(187^{160k+80}+187^{159k+80}+94\cdot 187^{158k+79}+32\cdot 187^{157k+79}+1566\cdot 187^{156k+78}\\||+338\cdot 187^{155k+78}+11746\cdot 187^{154k+77}+1932\cdot 187^{153k+77}+53574\cdot 187^{152k+76}+7254\cdot 187^{151k+76}\\||+169208\cdot 187^{150k+75}+19563\cdot 187^{149k+75}+393515\cdot 187^{148k+74}+39454\cdot 187^{147k+74}+689216\cdot 187^{146k+73}\\||+59808\cdot 187^{145k+73}+895246\cdot 187^{144k+72}+65173\cdot 187^{143k+72}+783123\cdot 187^{142k+71}+41180\cdot 187^{141k+71}\\||+243474\cdot 187^{140k+70}-10442\cdot 187^{139k+70}-546525\cdot 187^{138k+69}-66707\cdot 187^{137k+69}-1190404\cdot 187^{136k+68}\\||-98682\cdot 187^{135k+68}-1382594\cdot 187^{134k+67}-95648\cdot 187^{133k+67}-1161125\cdot 187^{132k+66}-71825\cdot 187^{131k+66}\\||-801970\cdot 187^{130k+65}-46206\cdot 187^{129k+65}-461324\cdot 187^{128k+64}-19309\cdot 187^{127k+64}-10600\cdot 187^{126k+63}\\||+23179\cdot 187^{125k+63}+714194\cdot 187^{124k+62}+84180\cdot 187^{123k+62}+1578520\cdot 187^{122k+61}+141913\cdot 187^{121k+61}\\||+2190255\cdot 187^{120k+60}+168172\cdot 187^{119k+60}+2264172\cdot 187^{118k+59}+153304\cdot 187^{117k+59}+1816131\cdot 187^{116k+58}\\||+105248\cdot 187^{115k+58}+972279\cdot 187^{114k+57}+30364\cdot 187^{113k+57}-228290\cdot 187^{112k+56}-68592\cdot 187^{111k+56}\\||-1667635\cdot 187^{110k+55}-171484\cdot 187^{109k+55}-2883107\cdot 187^{108k+54}-234026\cdot 187^{107k+54}-3242486\cdot 187^{106k+53}\\||-219395\cdot 187^{105k+53}-2512602\cdot 187^{104k+52}-135869\cdot 187^{103k+52}-1132216\cdot 187^{102k+51}-30954\cdot 187^{101k+51}\\||+209948\cdot 187^{100k+50}+54675\cdot 187^{99k+50}+1204928\cdot 187^{98k+49}+118163\cdot 187^{97k+49}+2012540\cdot 187^{96k+48}\\||+175976\cdot 187^{95k+48}+2778701\cdot 187^{94k+47}+225402\cdot 187^{93k+47}+3254602\cdot 187^{92k+46}+236579\cdot 187^{91k+46}\\||+2983520\cdot 187^{90k+45}+182140\cdot 187^{89k+45}+1782647\cdot 187^{88k+44}+66900\cdot 187^{87k+44}-38139\cdot 187^{86k+43}\\||-72794\cdot 187^{85k+43}-1881076\cdot 187^{84k+42}-192431\cdot 187^{83k+42}-3198780\cdot 187^{82k+41}-259680\cdot 187^{81k+41}\\||-3670407\cdot 187^{80k+40}-259680\cdot 187^{79k+40}-3198780\cdot 187^{78k+39}-192431\cdot 187^{77k+39}-1881076\cdot 187^{76k+38}\\||-72794\cdot 187^{75k+38}-38139\cdot 187^{74k+37}+66900\cdot 187^{73k+37}+1782647\cdot 187^{72k+36}+182140\cdot 187^{71k+36}\\||+2983520\cdot 187^{70k+35}+236579\cdot 187^{69k+35}+3254602\cdot 187^{68k+34}+225402\cdot 187^{67k+34}+2778701\cdot 187^{66k+33}\\||+175976\cdot 187^{65k+33}+2012540\cdot 187^{64k+32}+118163\cdot 187^{63k+32}+1204928\cdot 187^{62k+31}+54675\cdot 187^{61k+31}\\||+209948\cdot 187^{60k+30}-30954\cdot 187^{59k+30}-1132216\cdot 187^{58k+29}-135869\cdot 187^{57k+29}-2512602\cdot 187^{56k+28}\\||-219395\cdot 187^{55k+28}-3242486\cdot 187^{54k+27}-234026\cdot 187^{53k+27}-2883107\cdot 187^{52k+26}-171484\cdot 187^{51k+26}\\||-1667635\cdot 187^{50k+25}-68592\cdot 187^{49k+25}-228290\cdot 187^{48k+24}+30364\cdot 187^{47k+24}+972279\cdot 187^{46k+23}\\||+105248\cdot 187^{45k+23}+1816131\cdot 187^{44k+22}+153304\cdot 187^{43k+22}+2264172\cdot 187^{42k+21}+168172\cdot 187^{41k+21}\\||+2190255\cdot 187^{40k+20}+141913\cdot 187^{39k+20}+1578520\cdot 187^{38k+19}+84180\cdot 187^{37k+19}+714194\cdot 187^{36k+18}\\||+23179\cdot 187^{35k+18}-10600\cdot 187^{34k+17}-19309\cdot 187^{33k+17}-461324\cdot 187^{32k+16}-46206\cdot 187^{31k+16}\\||-801970\cdot 187^{30k+15}-71825\cdot 187^{29k+15}-1161125\cdot 187^{28k+14}-95648\cdot 187^{27k+14}-1382594\cdot 187^{26k+13}\\||-98682\cdot 187^{25k+13}-1190404\cdot 187^{24k+12}-66707\cdot 187^{23k+12}-546525\cdot 187^{22k+11}-10442\cdot 187^{21k+11}\\||+243474\cdot 187^{20k+10}+41180\cdot 187^{19k+10}+783123\cdot 187^{18k+9}+65173\cdot 187^{17k+9}+895246\cdot 187^{16k+8}\\||+59808\cdot 187^{15k+8}+689216\cdot 187^{14k+7}+39454\cdot 187^{13k+7}+393515\cdot 187^{12k+6}+19563\cdot 187^{11k+6}\\||+169208\cdot 187^{10k+5}+7254\cdot 187^{9k+5}+53574\cdot 187^{8k+4}+1932\cdot 187^{7k+4}+11746\cdot 187^{6k+3}\\||+338\cdot 187^{5k+3}+1566\cdot 187^{4k+2}+32\cdot 187^{3k+2}+94\cdot 187^{2k+1}+187^{k+1}+1)\\{\large\Phi}_{380}(190^{2k+1})|=|190^{288k+144}+190^{284k+142}-190^{268k+134}-190^{264k+132}+190^{248k+124}\\||+190^{244k+122}-190^{228k+114}-190^{224k+112}-190^{212k+106}+190^{204k+102}\\||+190^{192k+96}-190^{184k+92}-190^{172k+86}+190^{164k+82}+190^{152k+76}\\||-190^{144k+72}+190^{136k+68}+190^{124k+62}-190^{116k+58}-190^{104k+52}\\||+190^{96k+48}+190^{84k+42}-190^{76k+38}-190^{64k+32}-190^{60k+30}\\||+190^{44k+22}+190^{40k+20}-190^{24k+12}-190^{20k+10}+190^{4k+2}+1\\|=|(190^{144k+72}-190^{143k+72}+95\cdot 190^{142k+71}-32\cdot 190^{141k+71}+1568\cdot 190^{140k+70}\\||-333\cdot 190^{139k+70}+11590\cdot 190^{138k+69}-1889\cdot 190^{137k+69}+53188\cdot 190^{136k+68}-7282\cdot 190^{135k+68}\\||+177175\cdot 190^{134k+67}-21431\cdot 190^{133k+67}+469021\cdot 190^{132k+66}-51796\cdot 190^{131k+66}+1048040\cdot 190^{130k+65}\\||-108164\cdot 190^{129k+65}+2064180\cdot 190^{128k+64}-202488\cdot 190^{127k+64}+3696640\cdot 190^{126k+63}-348721\cdot 190^{125k+63}\\||+6147749\cdot 190^{124k+62}-561864\cdot 190^{123k+62}+9620745\cdot 190^{122k+61}-855696\cdot 190^{121k+61}+14281802\cdot 190^{120k+60}\\||-1239839\cdot 190^{119k+60}+20222080\cdot 190^{118k+59}-1717505\cdot 190^{117k+59}+27436012\cdot 190^{116k+58}-2284597\cdot 190^{115k+58}\\||+35816235\cdot 190^{114k+57}-2929660\cdot 190^{113k+57}+45154739\cdot 190^{112k+56}-3634034\cdot 190^{111k+56}+55147500\cdot 190^{110k+55}\\||-4372630\cdot 190^{109k+55}+65415480\cdot 190^{108k+54}-5116452\cdot 190^{107k+54}+75554355\cdot 190^{106k+53}-5837136\cdot 190^{105k+53}\\||+85204556\cdot 190^{104k+52}-6512046\cdot 190^{103k+52}+94114315\cdot 190^{102k+51}-7127901\cdot 190^{101k+51}+102173648\cdot 190^{100k+50}\\||-7682106\cdot 190^{99k+50}+109419860\cdot 190^{98k+49}-8182475\cdot 190^{97k+49}+116027093\cdot 190^{96k+48}-8646046\cdot 190^{95k+48}\\||+122282480\cdot 190^{94k+47}-9096568\cdot 190^{93k+47}+128537521\cdot 190^{92k+46}-9559860\cdot 190^{91k+46}+135130280\cdot 190^{90k+45}\\||-10057504\cdot 190^{89k+45}+142296560\cdot 190^{88k+44}-10600854\cdot 190^{87k+44}+150100665\cdot 190^{86k+43}-11187330\cdot 190^{85k+43}\\||+158404584\cdot 190^{84k+42}-11799626\cdot 190^{83k+42}+166875005\cdot 190^{82k+41}-12407353\cdot 190^{81k+41}+175019832\cdot 190^{80k+40}\\||-12970614\cdot 190^{79k+40}+182249520\cdot 190^{78k+39}-13445277\cdot 190^{77k+39}+187959767\cdot 190^{76k+38}-13789520\cdot 190^{75k+38}\\||+191625640\cdot 190^{74k+37}-13970624\cdot 190^{73k+37}+192889839\cdot 190^{72k+36}-13970624\cdot 190^{71k+36}+191625640\cdot 190^{70k+35}\\||-13789520\cdot 190^{69k+35}+187959767\cdot 190^{68k+34}-13445277\cdot 190^{67k+34}+182249520\cdot 190^{66k+33}-12970614\cdot 190^{65k+33}\\||+175019832\cdot 190^{64k+32}-12407353\cdot 190^{63k+32}+166875005\cdot 190^{62k+31}-11799626\cdot 190^{61k+31}+158404584\cdot 190^{60k+30}\\||-11187330\cdot 190^{59k+30}+150100665\cdot 190^{58k+29}-10600854\cdot 190^{57k+29}+142296560\cdot 190^{56k+28}-10057504\cdot 190^{55k+28}\\||+135130280\cdot 190^{54k+27}-9559860\cdot 190^{53k+27}+128537521\cdot 190^{52k+26}-9096568\cdot 190^{51k+26}+122282480\cdot 190^{50k+25}\\||-8646046\cdot 190^{49k+25}+116027093\cdot 190^{48k+24}-8182475\cdot 190^{47k+24}+109419860\cdot 190^{46k+23}-7682106\cdot 190^{45k+23}\\||+102173648\cdot 190^{44k+22}-7127901\cdot 190^{43k+22}+94114315\cdot 190^{42k+21}-6512046\cdot 190^{41k+21}+85204556\cdot 190^{40k+20}\\||-5837136\cdot 190^{39k+20}+75554355\cdot 190^{38k+19}-5116452\cdot 190^{37k+19}+65415480\cdot 190^{36k+18}-4372630\cdot 190^{35k+18}\\||+55147500\cdot 190^{34k+17}-3634034\cdot 190^{33k+17}+45154739\cdot 190^{32k+16}-2929660\cdot 190^{31k+16}+35816235\cdot 190^{30k+15}\\||-2284597\cdot 190^{29k+15}+27436012\cdot 190^{28k+14}-1717505\cdot 190^{27k+14}+20222080\cdot 190^{26k+13}-1239839\cdot 190^{25k+13}\\||+14281802\cdot 190^{24k+12}-855696\cdot 190^{23k+12}+9620745\cdot 190^{22k+11}-561864\cdot 190^{21k+11}+6147749\cdot 190^{20k+10}\\||-348721\cdot 190^{19k+10}+3696640\cdot 190^{18k+9}-202488\cdot 190^{17k+9}+2064180\cdot 190^{16k+8}-108164\cdot 190^{15k+8}\\||+1048040\cdot 190^{14k+7}-51796\cdot 190^{13k+7}+469021\cdot 190^{12k+6}-21431\cdot 190^{11k+6}+177175\cdot 190^{10k+5}\\||-7282\cdot 190^{9k+5}+53188\cdot 190^{8k+4}-1889\cdot 190^{7k+4}+11590\cdot 190^{6k+3}-333\cdot 190^{5k+3}\\||+1568\cdot 190^{4k+2}-32\cdot 190^{3k+2}+95\cdot 190^{2k+1}-190^{k+1}+1)\\|\times|(190^{144k+72}+190^{143k+72}+95\cdot 190^{142k+71}+32\cdot 190^{141k+71}+1568\cdot 190^{140k+70}\\||+333\cdot 190^{139k+70}+11590\cdot 190^{138k+69}+1889\cdot 190^{137k+69}+53188\cdot 190^{136k+68}+7282\cdot 190^{135k+68}\\||+177175\cdot 190^{134k+67}+21431\cdot 190^{133k+67}+469021\cdot 190^{132k+66}+51796\cdot 190^{131k+66}+1048040\cdot 190^{130k+65}\\||+108164\cdot 190^{129k+65}+2064180\cdot 190^{128k+64}+202488\cdot 190^{127k+64}+3696640\cdot 190^{126k+63}+348721\cdot 190^{125k+63}\\||+6147749\cdot 190^{124k+62}+561864\cdot 190^{123k+62}+9620745\cdot 190^{122k+61}+855696\cdot 190^{121k+61}+14281802\cdot 190^{120k+60}\\||+1239839\cdot 190^{119k+60}+20222080\cdot 190^{118k+59}+1717505\cdot 190^{117k+59}+27436012\cdot 190^{116k+58}+2284597\cdot 190^{115k+58}\\||+35816235\cdot 190^{114k+57}+2929660\cdot 190^{113k+57}+45154739\cdot 190^{112k+56}+3634034\cdot 190^{111k+56}+55147500\cdot 190^{110k+55}\\||+4372630\cdot 190^{109k+55}+65415480\cdot 190^{108k+54}+5116452\cdot 190^{107k+54}+75554355\cdot 190^{106k+53}+5837136\cdot 190^{105k+53}\\||+85204556\cdot 190^{104k+52}+6512046\cdot 190^{103k+52}+94114315\cdot 190^{102k+51}+7127901\cdot 190^{101k+51}+102173648\cdot 190^{100k+50}\\||+7682106\cdot 190^{99k+50}+109419860\cdot 190^{98k+49}+8182475\cdot 190^{97k+49}+116027093\cdot 190^{96k+48}+8646046\cdot 190^{95k+48}\\||+122282480\cdot 190^{94k+47}+9096568\cdot 190^{93k+47}+128537521\cdot 190^{92k+46}+9559860\cdot 190^{91k+46}+135130280\cdot 190^{90k+45}\\||+10057504\cdot 190^{89k+45}+142296560\cdot 190^{88k+44}+10600854\cdot 190^{87k+44}+150100665\cdot 190^{86k+43}+11187330\cdot 190^{85k+43}\\||+158404584\cdot 190^{84k+42}+11799626\cdot 190^{83k+42}+166875005\cdot 190^{82k+41}+12407353\cdot 190^{81k+41}+175019832\cdot 190^{80k+40}\\||+12970614\cdot 190^{79k+40}+182249520\cdot 190^{78k+39}+13445277\cdot 190^{77k+39}+187959767\cdot 190^{76k+38}+13789520\cdot 190^{75k+38}\\||+191625640\cdot 190^{74k+37}+13970624\cdot 190^{73k+37}+192889839\cdot 190^{72k+36}+13970624\cdot 190^{71k+36}+191625640\cdot 190^{70k+35}\\||+13789520\cdot 190^{69k+35}+187959767\cdot 190^{68k+34}+13445277\cdot 190^{67k+34}+182249520\cdot 190^{66k+33}+12970614\cdot 190^{65k+33}\\||+175019832\cdot 190^{64k+32}+12407353\cdot 190^{63k+32}+166875005\cdot 190^{62k+31}+11799626\cdot 190^{61k+31}+158404584\cdot 190^{60k+30}\\||+11187330\cdot 190^{59k+30}+150100665\cdot 190^{58k+29}+10600854\cdot 190^{57k+29}+142296560\cdot 190^{56k+28}+10057504\cdot 190^{55k+28}\\||+135130280\cdot 190^{54k+27}+9559860\cdot 190^{53k+27}+128537521\cdot 190^{52k+26}+9096568\cdot 190^{51k+26}+122282480\cdot 190^{50k+25}\\||+8646046\cdot 190^{49k+25}+116027093\cdot 190^{48k+24}+8182475\cdot 190^{47k+24}+109419860\cdot 190^{46k+23}+7682106\cdot 190^{45k+23}\\||+102173648\cdot 190^{44k+22}+7127901\cdot 190^{43k+22}+94114315\cdot 190^{42k+21}+6512046\cdot 190^{41k+21}+85204556\cdot 190^{40k+20}\\||+5837136\cdot 190^{39k+20}+75554355\cdot 190^{38k+19}+5116452\cdot 190^{37k+19}+65415480\cdot 190^{36k+18}+4372630\cdot 190^{35k+18}\\||+55147500\cdot 190^{34k+17}+3634034\cdot 190^{33k+17}+45154739\cdot 190^{32k+16}+2929660\cdot 190^{31k+16}+35816235\cdot 190^{30k+15}\\||+2284597\cdot 190^{29k+15}+27436012\cdot 190^{28k+14}+1717505\cdot 190^{27k+14}+20222080\cdot 190^{26k+13}+1239839\cdot 190^{25k+13}\\||+14281802\cdot 190^{24k+12}+855696\cdot 190^{23k+12}+9620745\cdot 190^{22k+11}+561864\cdot 190^{21k+11}+6147749\cdot 190^{20k+10}\\||+348721\cdot 190^{19k+10}+3696640\cdot 190^{18k+9}+202488\cdot 190^{17k+9}+2064180\cdot 190^{16k+8}+108164\cdot 190^{15k+8}\\||+1048040\cdot 190^{14k+7}+51796\cdot 190^{13k+7}+469021\cdot 190^{12k+6}+21431\cdot 190^{11k+6}+177175\cdot 190^{10k+5}\\||+7282\cdot 190^{9k+5}+53188\cdot 190^{8k+4}+1889\cdot 190^{7k+4}+11590\cdot 190^{6k+3}+333\cdot 190^{5k+3}\\||+1568\cdot 190^{4k+2}+32\cdot 190^{3k+2}+95\cdot 190^{2k+1}+190^{k+1}+1)\end{eqnarray}%%
Φ382(1912k+1)⋯Φ390(1952k+1)Φ382(1912k+1)⋯Φ390(1952k+1)
%%\begin{eqnarray}{\large\Phi}_{382}(191^{2k+1})|=|191^{380k+190}-191^{378k+189}+191^{376k+188}-191^{374k+187}+191^{372k+186}\\||-191^{370k+185}+191^{368k+184}-191^{366k+183}+191^{364k+182}-191^{362k+181}\\||+191^{360k+180}-191^{358k+179}+191^{356k+178}-191^{354k+177}+191^{352k+176}\\||-191^{350k+175}+191^{348k+174}-191^{346k+173}+191^{344k+172}-191^{342k+171}\\||+191^{340k+170}-191^{338k+169}+191^{336k+168}-191^{334k+167}+191^{332k+166}\\||-191^{330k+165}+191^{328k+164}-191^{326k+163}+191^{324k+162}-191^{322k+161}\\||+191^{320k+160}-191^{318k+159}+191^{316k+158}-191^{314k+157}+191^{312k+156}\\||-191^{310k+155}+191^{308k+154}-191^{306k+153}+191^{304k+152}-191^{302k+151}\\||+191^{300k+150}-191^{298k+149}+191^{296k+148}-191^{294k+147}+191^{292k+146}\\||-191^{290k+145}+191^{288k+144}-191^{286k+143}+191^{284k+142}-191^{282k+141}\\||+191^{280k+140}-191^{278k+139}+191^{276k+138}-191^{274k+137}+191^{272k+136}\\||-191^{270k+135}+191^{268k+134}-191^{266k+133}+191^{264k+132}-191^{262k+131}\\||+191^{260k+130}-191^{258k+129}+191^{256k+128}-191^{254k+127}+191^{252k+126}\\||-191^{250k+125}+191^{248k+124}-191^{246k+123}+191^{244k+122}-191^{242k+121}\\||+191^{240k+120}-191^{238k+119}+191^{236k+118}-191^{234k+117}+191^{232k+116}\\||-191^{230k+115}+191^{228k+114}-191^{226k+113}+191^{224k+112}-191^{222k+111}\\||+191^{220k+110}-191^{218k+109}+191^{216k+108}-191^{214k+107}+191^{212k+106}\\||-191^{210k+105}+191^{208k+104}-191^{206k+103}+191^{204k+102}-191^{202k+101}\\||+191^{200k+100}-191^{198k+99}+191^{196k+98}-191^{194k+97}+191^{192k+96}\\||-191^{190k+95}+191^{188k+94}-191^{186k+93}+191^{184k+92}-191^{182k+91}\\||+191^{180k+90}-191^{178k+89}+191^{176k+88}-191^{174k+87}+191^{172k+86}\\||-191^{170k+85}+191^{168k+84}-191^{166k+83}+191^{164k+82}-191^{162k+81}\\||+191^{160k+80}-191^{158k+79}+191^{156k+78}-191^{154k+77}+191^{152k+76}\\||-191^{150k+75}+191^{148k+74}-191^{146k+73}+191^{144k+72}-191^{142k+71}\\||+191^{140k+70}-191^{138k+69}+191^{136k+68}-191^{134k+67}+191^{132k+66}\\||-191^{130k+65}+191^{128k+64}-191^{126k+63}+191^{124k+62}-191^{122k+61}\\||+191^{120k+60}-191^{118k+59}+191^{116k+58}-191^{114k+57}+191^{112k+56}\\||-191^{110k+55}+191^{108k+54}-191^{106k+53}+191^{104k+52}-191^{102k+51}\\||+191^{100k+50}-191^{98k+49}+191^{96k+48}-191^{94k+47}+191^{92k+46}\\||-191^{90k+45}+191^{88k+44}-191^{86k+43}+191^{84k+42}-191^{82k+41}\\||+191^{80k+40}-191^{78k+39}+191^{76k+38}-191^{74k+37}+191^{72k+36}\\||-191^{70k+35}+191^{68k+34}-191^{66k+33}+191^{64k+32}-191^{62k+31}\\||+191^{60k+30}-191^{58k+29}+191^{56k+28}-191^{54k+27}+191^{52k+26}\\||-191^{50k+25}+191^{48k+24}-191^{46k+23}+191^{44k+22}-191^{42k+21}\\||+191^{40k+20}-191^{38k+19}+191^{36k+18}-191^{34k+17}+191^{32k+16}\\||-191^{30k+15}+191^{28k+14}-191^{26k+13}+191^{24k+12}-191^{22k+11}\\||+191^{20k+10}-191^{18k+9}+191^{16k+8}-191^{14k+7}+191^{12k+6}\\||-191^{10k+5}+191^{8k+4}-191^{6k+3}+191^{4k+2}-191^{2k+1}+1\\|=|(191^{190k+95}-191^{189k+95}+95\cdot 191^{188k+94}-31\cdot 191^{187k+94}+1409\cdot 191^{186k+93}\\||-257\cdot 191^{185k+93}+7007\cdot 191^{184k+92}-781\cdot 191^{183k+92}+12563\cdot 191^{182k+91}-723\cdot 191^{181k+91}\\||+3725\cdot 191^{180k+90}+45\cdot 191^{179k+90}+5069\cdot 191^{178k+89}-1741\cdot 191^{177k+89}+48241\cdot 191^{176k+88}\\||-4401\cdot 191^{175k+88}+50095\cdot 191^{174k+87}-1711\cdot 191^{173k+87}+7261\cdot 191^{172k+86}-1747\cdot 191^{171k+86}\\||+70925\cdot 191^{170k+85}-8351\cdot 191^{169k+85}+123759\cdot 191^{168k+84}-6831\cdot 191^{167k+84}+64113\cdot 191^{166k+83}\\||-5413\cdot 191^{165k+83}+130183\cdot 191^{164k+82}-13511\cdot 191^{163k+82}+194139\cdot 191^{162k+81}-10805\cdot 191^{161k+81}\\||+107943\cdot 191^{160k+80}-9701\cdot 191^{159k+80}+231823\cdot 191^{158k+79}-23805\cdot 191^{157k+79}+338979\cdot 191^{156k+78}\\||-18001\cdot 191^{155k+78}+145279\cdot 191^{154k+77}-10349\cdot 191^{153k+77}+272989\cdot 191^{152k+76}-31849\cdot 191^{151k+76}\\||+501947\cdot 191^{150k+75}-29181\cdot 191^{149k+75}+239565\cdot 191^{148k+74}-12765\cdot 191^{147k+74}+292089\cdot 191^{146k+73}\\||-35649\cdot 191^{145k+73}+592267\cdot 191^{144k+72}-35625\cdot 191^{143k+72}+288147\cdot 191^{142k+71}-13571\cdot 191^{141k+71}\\||+308505\cdot 191^{140k+70}-39829\cdot 191^{139k+70}+677379\cdot 191^{138k+69}-39521\cdot 191^{137k+69}+260507\cdot 191^{136k+68}\\||-6349\cdot 191^{135k+68}+204165\cdot 191^{134k+67}-36999\cdot 191^{133k+67}+713379\cdot 191^{132k+66}-43127\cdot 191^{131k+66}\\||+242977\cdot 191^{130k+65}+2109\cdot 191^{129k+65}+30711\cdot 191^{128k+64}-25929\cdot 191^{127k+64}+622771\cdot 191^{126k+63}\\||-39087\cdot 191^{125k+63}+156311\cdot 191^{124k+62}+13301\cdot 191^{123k+62}-163655\cdot 191^{122k+61}-13721\cdot 191^{121k+61}\\||+515281\cdot 191^{120k+60}-33291\cdot 191^{119k+60}+28461\cdot 191^{118k+59}+29249\cdot 191^{117k+59}-443473\cdot 191^{116k+58}\\||+4469\cdot 191^{115k+58}+359647\cdot 191^{114k+57}-28063\cdot 191^{113k+57}-41779\cdot 191^{112k+56}+39951\cdot 191^{111k+56}\\||-680081\cdot 191^{110k+55}+23485\cdot 191^{109k+55}+148827\cdot 191^{108k+54}-18581\cdot 191^{107k+54}-131823\cdot 191^{106k+53}\\||+47959\cdot 191^{105k+53}-836061\cdot 191^{104k+52}+35675\cdot 191^{103k+52}+22561\cdot 191^{102k+51}-13943\cdot 191^{101k+51}\\||-171823\cdot 191^{100k+50}+53625\cdot 191^{99k+50}-978019\cdot 191^{98k+49}+47393\cdot 191^{97k+49}-77381\cdot 191^{96k+48}\\||-14825\cdot 191^{95k+48}-77381\cdot 191^{94k+47}+47393\cdot 191^{93k+47}-978019\cdot 191^{92k+46}+53625\cdot 191^{91k+46}\\||-171823\cdot 191^{90k+45}-13943\cdot 191^{89k+45}+22561\cdot 191^{88k+44}+35675\cdot 191^{87k+44}-836061\cdot 191^{86k+43}\\||+47959\cdot 191^{85k+43}-131823\cdot 191^{84k+42}-18581\cdot 191^{83k+42}+148827\cdot 191^{82k+41}+23485\cdot 191^{81k+41}\\||-680081\cdot 191^{80k+40}+39951\cdot 191^{79k+40}-41779\cdot 191^{78k+39}-28063\cdot 191^{77k+39}+359647\cdot 191^{76k+38}\\||+4469\cdot 191^{75k+38}-443473\cdot 191^{74k+37}+29249\cdot 191^{73k+37}+28461\cdot 191^{72k+36}-33291\cdot 191^{71k+36}\\||+515281\cdot 191^{70k+35}-13721\cdot 191^{69k+35}-163655\cdot 191^{68k+34}+13301\cdot 191^{67k+34}+156311\cdot 191^{66k+33}\\||-39087\cdot 191^{65k+33}+622771\cdot 191^{64k+32}-25929\cdot 191^{63k+32}+30711\cdot 191^{62k+31}+2109\cdot 191^{61k+31}\\||+242977\cdot 191^{60k+30}-43127\cdot 191^{59k+30}+713379\cdot 191^{58k+29}-36999\cdot 191^{57k+29}+204165\cdot 191^{56k+28}\\||-6349\cdot 191^{55k+28}+260507\cdot 191^{54k+27}-39521\cdot 191^{53k+27}+677379\cdot 191^{52k+26}-39829\cdot 191^{51k+26}\\||+308505\cdot 191^{50k+25}-13571\cdot 191^{49k+25}+288147\cdot 191^{48k+24}-35625\cdot 191^{47k+24}+592267\cdot 191^{46k+23}\\||-35649\cdot 191^{45k+23}+292089\cdot 191^{44k+22}-12765\cdot 191^{43k+22}+239565\cdot 191^{42k+21}-29181\cdot 191^{41k+21}\\||+501947\cdot 191^{40k+20}-31849\cdot 191^{39k+20}+272989\cdot 191^{38k+19}-10349\cdot 191^{37k+19}+145279\cdot 191^{36k+18}\\||-18001\cdot 191^{35k+18}+338979\cdot 191^{34k+17}-23805\cdot 191^{33k+17}+231823\cdot 191^{32k+16}-9701\cdot 191^{31k+16}\\||+107943\cdot 191^{30k+15}-10805\cdot 191^{29k+15}+194139\cdot 191^{28k+14}-13511\cdot 191^{27k+14}+130183\cdot 191^{26k+13}\\||-5413\cdot 191^{25k+13}+64113\cdot 191^{24k+12}-6831\cdot 191^{23k+12}+123759\cdot 191^{22k+11}-8351\cdot 191^{21k+11}\\||+70925\cdot 191^{20k+10}-1747\cdot 191^{19k+10}+7261\cdot 191^{18k+9}-1711\cdot 191^{17k+9}+50095\cdot 191^{16k+8}\\||-4401\cdot 191^{15k+8}+48241\cdot 191^{14k+7}-1741\cdot 191^{13k+7}+5069\cdot 191^{12k+6}+45\cdot 191^{11k+6}\\||+3725\cdot 191^{10k+5}-723\cdot 191^{9k+5}+12563\cdot 191^{8k+4}-781\cdot 191^{7k+4}+7007\cdot 191^{6k+3}\\||-257\cdot 191^{5k+3}+1409\cdot 191^{4k+2}-31\cdot 191^{3k+2}+95\cdot 191^{2k+1}-191^{k+1}+1)\\|\times|(191^{190k+95}+191^{189k+95}+95\cdot 191^{188k+94}+31\cdot 191^{187k+94}+1409\cdot 191^{186k+93}\\||+257\cdot 191^{185k+93}+7007\cdot 191^{184k+92}+781\cdot 191^{183k+92}+12563\cdot 191^{182k+91}+723\cdot 191^{181k+91}\\||+3725\cdot 191^{180k+90}-45\cdot 191^{179k+90}+5069\cdot 191^{178k+89}+1741\cdot 191^{177k+89}+48241\cdot 191^{176k+88}\\||+4401\cdot 191^{175k+88}+50095\cdot 191^{174k+87}+1711\cdot 191^{173k+87}+7261\cdot 191^{172k+86}+1747\cdot 191^{171k+86}\\||+70925\cdot 191^{170k+85}+8351\cdot 191^{169k+85}+123759\cdot 191^{168k+84}+6831\cdot 191^{167k+84}+64113\cdot 191^{166k+83}\\||+5413\cdot 191^{165k+83}+130183\cdot 191^{164k+82}+13511\cdot 191^{163k+82}+194139\cdot 191^{162k+81}+10805\cdot 191^{161k+81}\\||+107943\cdot 191^{160k+80}+9701\cdot 191^{159k+80}+231823\cdot 191^{158k+79}+23805\cdot 191^{157k+79}+338979\cdot 191^{156k+78}\\||+18001\cdot 191^{155k+78}+145279\cdot 191^{154k+77}+10349\cdot 191^{153k+77}+272989\cdot 191^{152k+76}+31849\cdot 191^{151k+76}\\||+501947\cdot 191^{150k+75}+29181\cdot 191^{149k+75}+239565\cdot 191^{148k+74}+12765\cdot 191^{147k+74}+292089\cdot 191^{146k+73}\\||+35649\cdot 191^{145k+73}+592267\cdot 191^{144k+72}+35625\cdot 191^{143k+72}+288147\cdot 191^{142k+71}+13571\cdot 191^{141k+71}\\||+308505\cdot 191^{140k+70}+39829\cdot 191^{139k+70}+677379\cdot 191^{138k+69}+39521\cdot 191^{137k+69}+260507\cdot 191^{136k+68}\\||+6349\cdot 191^{135k+68}+204165\cdot 191^{134k+67}+36999\cdot 191^{133k+67}+713379\cdot 191^{132k+66}+43127\cdot 191^{131k+66}\\||+242977\cdot 191^{130k+65}-2109\cdot 191^{129k+65}+30711\cdot 191^{128k+64}+25929\cdot 191^{127k+64}+622771\cdot 191^{126k+63}\\||+39087\cdot 191^{125k+63}+156311\cdot 191^{124k+62}-13301\cdot 191^{123k+62}-163655\cdot 191^{122k+61}+13721\cdot 191^{121k+61}\\||+515281\cdot 191^{120k+60}+33291\cdot 191^{119k+60}+28461\cdot 191^{118k+59}-29249\cdot 191^{117k+59}-443473\cdot 191^{116k+58}\\||-4469\cdot 191^{115k+58}+359647\cdot 191^{114k+57}+28063\cdot 191^{113k+57}-41779\cdot 191^{112k+56}-39951\cdot 191^{111k+56}\\||-680081\cdot 191^{110k+55}-23485\cdot 191^{109k+55}+148827\cdot 191^{108k+54}+18581\cdot 191^{107k+54}-131823\cdot 191^{106k+53}\\||-47959\cdot 191^{105k+53}-836061\cdot 191^{104k+52}-35675\cdot 191^{103k+52}+22561\cdot 191^{102k+51}+13943\cdot 191^{101k+51}\\||-171823\cdot 191^{100k+50}-53625\cdot 191^{99k+50}-978019\cdot 191^{98k+49}-47393\cdot 191^{97k+49}-77381\cdot 191^{96k+48}\\||+14825\cdot 191^{95k+48}-77381\cdot 191^{94k+47}-47393\cdot 191^{93k+47}-978019\cdot 191^{92k+46}-53625\cdot 191^{91k+46}\\||-171823\cdot 191^{90k+45}+13943\cdot 191^{89k+45}+22561\cdot 191^{88k+44}-35675\cdot 191^{87k+44}-836061\cdot 191^{86k+43}\\||-47959\cdot 191^{85k+43}-131823\cdot 191^{84k+42}+18581\cdot 191^{83k+42}+148827\cdot 191^{82k+41}-23485\cdot 191^{81k+41}\\||-680081\cdot 191^{80k+40}-39951\cdot 191^{79k+40}-41779\cdot 191^{78k+39}+28063\cdot 191^{77k+39}+359647\cdot 191^{76k+38}\\||-4469\cdot 191^{75k+38}-443473\cdot 191^{74k+37}-29249\cdot 191^{73k+37}+28461\cdot 191^{72k+36}+33291\cdot 191^{71k+36}\\||+515281\cdot 191^{70k+35}+13721\cdot 191^{69k+35}-163655\cdot 191^{68k+34}-13301\cdot 191^{67k+34}+156311\cdot 191^{66k+33}\\||+39087\cdot 191^{65k+33}+622771\cdot 191^{64k+32}+25929\cdot 191^{63k+32}+30711\cdot 191^{62k+31}-2109\cdot 191^{61k+31}\\||+242977\cdot 191^{60k+30}+43127\cdot 191^{59k+30}+713379\cdot 191^{58k+29}+36999\cdot 191^{57k+29}+204165\cdot 191^{56k+28}\\||+6349\cdot 191^{55k+28}+260507\cdot 191^{54k+27}+39521\cdot 191^{53k+27}+677379\cdot 191^{52k+26}+39829\cdot 191^{51k+26}\\||+308505\cdot 191^{50k+25}+13571\cdot 191^{49k+25}+288147\cdot 191^{48k+24}+35625\cdot 191^{47k+24}+592267\cdot 191^{46k+23}\\||+35649\cdot 191^{45k+23}+292089\cdot 191^{44k+22}+12765\cdot 191^{43k+22}+239565\cdot 191^{42k+21}+29181\cdot 191^{41k+21}\\||+501947\cdot 191^{40k+20}+31849\cdot 191^{39k+20}+272989\cdot 191^{38k+19}+10349\cdot 191^{37k+19}+145279\cdot 191^{36k+18}\\||+18001\cdot 191^{35k+18}+338979\cdot 191^{34k+17}+23805\cdot 191^{33k+17}+231823\cdot 191^{32k+16}+9701\cdot 191^{31k+16}\\||+107943\cdot 191^{30k+15}+10805\cdot 191^{29k+15}+194139\cdot 191^{28k+14}+13511\cdot 191^{27k+14}+130183\cdot 191^{26k+13}\\||+5413\cdot 191^{25k+13}+64113\cdot 191^{24k+12}+6831\cdot 191^{23k+12}+123759\cdot 191^{22k+11}+8351\cdot 191^{21k+11}\\||+70925\cdot 191^{20k+10}+1747\cdot 191^{19k+10}+7261\cdot 191^{18k+9}+1711\cdot 191^{17k+9}+50095\cdot 191^{16k+8}\\||+4401\cdot 191^{15k+8}+48241\cdot 191^{14k+7}+1741\cdot 191^{13k+7}+5069\cdot 191^{12k+6}-45\cdot 191^{11k+6}\\||+3725\cdot 191^{10k+5}+723\cdot 191^{9k+5}+12563\cdot 191^{8k+4}+781\cdot 191^{7k+4}+7007\cdot 191^{6k+3}\\||+257\cdot 191^{5k+3}+1409\cdot 191^{4k+2}+31\cdot 191^{3k+2}+95\cdot 191^{2k+1}+191^{k+1}+1)\\{\large\Phi}_{193}(193^{2k+1})|=|193^{384k+192}+193^{382k+191}+193^{380k+190}+193^{378k+189}+193^{376k+188}\\||+193^{374k+187}+193^{372k+186}+193^{370k+185}+193^{368k+184}+193^{366k+183}\\||+193^{364k+182}+193^{362k+181}+193^{360k+180}+193^{358k+179}+193^{356k+178}\\||+193^{354k+177}+193^{352k+176}+193^{350k+175}+193^{348k+174}+193^{346k+173}\\||+193^{344k+172}+193^{342k+171}+193^{340k+170}+193^{338k+169}+193^{336k+168}\\||+193^{334k+167}+193^{332k+166}+193^{330k+165}+193^{328k+164}+193^{326k+163}\\||+193^{324k+162}+193^{322k+161}+193^{320k+160}+193^{318k+159}+193^{316k+158}\\||+193^{314k+157}+193^{312k+156}+193^{310k+155}+193^{308k+154}+193^{306k+153}\\||+193^{304k+152}+193^{302k+151}+193^{300k+150}+193^{298k+149}+193^{296k+148}\\||+193^{294k+147}+193^{292k+146}+193^{290k+145}+193^{288k+144}+193^{286k+143}\\||+193^{284k+142}+193^{282k+141}+193^{280k+140}+193^{278k+139}+193^{276k+138}\\||+193^{274k+137}+193^{272k+136}+193^{270k+135}+193^{268k+134}+193^{266k+133}\\||+193^{264k+132}+193^{262k+131}+193^{260k+130}+193^{258k+129}+193^{256k+128}\\||+193^{254k+127}+193^{252k+126}+193^{250k+125}+193^{248k+124}+193^{246k+123}\\||+193^{244k+122}+193^{242k+121}+193^{240k+120}+193^{238k+119}+193^{236k+118}\\||+193^{234k+117}+193^{232k+116}+193^{230k+115}+193^{228k+114}+193^{226k+113}\\||+193^{224k+112}+193^{222k+111}+193^{220k+110}+193^{218k+109}+193^{216k+108}\\||+193^{214k+107}+193^{212k+106}+193^{210k+105}+193^{208k+104}+193^{206k+103}\\||+193^{204k+102}+193^{202k+101}+193^{200k+100}+193^{198k+99}+193^{196k+98}\\||+193^{194k+97}+193^{192k+96}+193^{190k+95}+193^{188k+94}+193^{186k+93}\\||+193^{184k+92}+193^{182k+91}+193^{180k+90}+193^{178k+89}+193^{176k+88}\\||+193^{174k+87}+193^{172k+86}+193^{170k+85}+193^{168k+84}+193^{166k+83}\\||+193^{164k+82}+193^{162k+81}+193^{160k+80}+193^{158k+79}+193^{156k+78}\\||+193^{154k+77}+193^{152k+76}+193^{150k+75}+193^{148k+74}+193^{146k+73}\\||+193^{144k+72}+193^{142k+71}+193^{140k+70}+193^{138k+69}+193^{136k+68}\\||+193^{134k+67}+193^{132k+66}+193^{130k+65}+193^{128k+64}+193^{126k+63}\\||+193^{124k+62}+193^{122k+61}+193^{120k+60}+193^{118k+59}+193^{116k+58}\\||+193^{114k+57}+193^{112k+56}+193^{110k+55}+193^{108k+54}+193^{106k+53}\\||+193^{104k+52}+193^{102k+51}+193^{100k+50}+193^{98k+49}+193^{96k+48}\\||+193^{94k+47}+193^{92k+46}+193^{90k+45}+193^{88k+44}+193^{86k+43}\\||+193^{84k+42}+193^{82k+41}+193^{80k+40}+193^{78k+39}+193^{76k+38}\\||+193^{74k+37}+193^{72k+36}+193^{70k+35}+193^{68k+34}+193^{66k+33}\\||+193^{64k+32}+193^{62k+31}+193^{60k+30}+193^{58k+29}+193^{56k+28}\\||+193^{54k+27}+193^{52k+26}+193^{50k+25}+193^{48k+24}+193^{46k+23}\\||+193^{44k+22}+193^{42k+21}+193^{40k+20}+193^{38k+19}+193^{36k+18}\\||+193^{34k+17}+193^{32k+16}+193^{30k+15}+193^{28k+14}+193^{26k+13}\\||+193^{24k+12}+193^{22k+11}+193^{20k+10}+193^{18k+9}+193^{16k+8}\\||+193^{14k+7}+193^{12k+6}+193^{10k+5}+193^{8k+4}+193^{6k+3}\\||+193^{4k+2}+193^{2k+1}+1\\|=|(193^{192k+96}-193^{191k+96}+97\cdot 193^{190k+95}-33\cdot 193^{189k+95}+1665\cdot 193^{188k+94}\\||-359\cdot 193^{187k+94}+12871\cdot 193^{186k+93}-2119\cdot 193^{185k+93}+60839\cdot 193^{184k+92}-8295\cdot 193^{183k+92}\\||+202265\cdot 193^{182k+91}-23891\cdot 193^{181k+91}+513011\cdot 193^{180k+90}-54121\cdot 193^{179k+90}+1051273\cdot 193^{178k+89}\\||-101519\cdot 193^{177k+89}+1825227\cdot 193^{176k+88}-164841\cdot 193^{175k+88}+2797581\cdot 193^{174k+87}-240343\cdot 193^{173k+87}\\||+3902137\cdot 193^{172k+86}-321741\cdot 193^{171k+86}+5017139\cdot 193^{170k+85}-396735\cdot 193^{169k+85}+5914263\cdot 193^{168k+84}\\||-445103\cdot 193^{167k+84}+6280541\cdot 193^{166k+83}-444389\cdot 193^{165k+83}+5842261\cdot 193^{164k+82}-379911\cdot 193^{163k+82}\\||+4483581\cdot 193^{162k+81}-249949\cdot 193^{161k+81}+2266385\cdot 193^{160k+80}-64543\cdot 193^{159k+80}-595271\cdot 193^{158k+79}\\||+155201\cdot 193^{157k+79}-3720513\cdot 193^{156k+78}+375223\cdot 193^{155k+78}-6551009\cdot 193^{154k+77}+550875\cdot 193^{153k+77}\\||-8442457\cdot 193^{152k+76}+637391\cdot 193^{151k+76}-8842563\cdot 193^{150k+75}+603059\cdot 193^{149k+75}-7457045\cdot 193^{148k+74}\\||+439187\cdot 193^{147k+74}-4359527\cdot 193^{146k+73}+166041\cdot 193^{145k+73}-42289\cdot 193^{144k+72}-166655\cdot 193^{143k+72}\\||+4635051\cdot 193^{142k+71}-488153\cdot 193^{141k+71}+8622235\cdot 193^{140k+70}-722209\cdot 193^{139k+70}+10905969\cdot 193^{138k+69}\\||-802749\cdot 193^{137k+69}+10710065\cdot 193^{136k+68}-687515\cdot 193^{135k+68}+7686981\cdot 193^{134k+67}-372341\cdot 193^{133k+67}\\||+2109307\cdot 193^{132k+66}+97947\cdot 193^{131k+66}-5061135\cdot 193^{130k+65}+632959\cdot 193^{129k+65}-12349103\cdot 193^{128k+64}\\||+1117355\cdot 193^{127k+64}-18122429\cdot 193^{126k+63}+1438133\cdot 193^{125k+63}-20955971\cdot 193^{124k+62}+1508419\cdot 193^{123k+62}\\||-19928513\cdot 193^{122k+61}+1286943\cdot 193^{121k+61}-14867947\cdot 193^{120k+60}+792845\cdot 193^{119k+60}-6489491\cdot 193^{118k+59}\\||+108491\cdot 193^{117k+59}+3686031\cdot 193^{116k+58}-635273\cdot 193^{115k+58}+13642031\cdot 193^{114k+57}-1286761\cdot 193^{113k+57}\\||+21292751\cdot 193^{112k+56}-1705539\cdot 193^{111k+56}+24934157\cdot 193^{110k+55}-1794437\cdot 193^{109k+55}+23664889\cdot 193^{108k+54}\\||-1525961\cdot 193^{107k+54}+17658821\cdot 193^{106k+53}-952303\cdot 193^{105k+53}+8146861\cdot 193^{104k+52}-192839\cdot 193^{103k+52}\\||-2884107\cdot 193^{102k+51}+593553\cdot 193^{101k+51}-13116605\cdot 193^{100k+50}+1240077\cdot 193^{99k+50}-20347287\cdot 193^{98k+49}\\||+1604863\cdot 193^{97k+49}-22957943\cdot 193^{96k+48}+1604863\cdot 193^{95k+48}-20347287\cdot 193^{94k+47}+1240077\cdot 193^{93k+47}\\||-13116605\cdot 193^{92k+46}+593553\cdot 193^{91k+46}-2884107\cdot 193^{90k+45}-192839\cdot 193^{89k+45}+8146861\cdot 193^{88k+44}\\||-952303\cdot 193^{87k+44}+17658821\cdot 193^{86k+43}-1525961\cdot 193^{85k+43}+23664889\cdot 193^{84k+42}-1794437\cdot 193^{83k+42}\\||+24934157\cdot 193^{82k+41}-1705539\cdot 193^{81k+41}+21292751\cdot 193^{80k+40}-1286761\cdot 193^{79k+40}+13642031\cdot 193^{78k+39}\\||-635273\cdot 193^{77k+39}+3686031\cdot 193^{76k+38}+108491\cdot 193^{75k+38}-6489491\cdot 193^{74k+37}+792845\cdot 193^{73k+37}\\||-14867947\cdot 193^{72k+36}+1286943\cdot 193^{71k+36}-19928513\cdot 193^{70k+35}+1508419\cdot 193^{69k+35}-20955971\cdot 193^{68k+34}\\||+1438133\cdot 193^{67k+34}-18122429\cdot 193^{66k+33}+1117355\cdot 193^{65k+33}-12349103\cdot 193^{64k+32}+632959\cdot 193^{63k+32}\\||-5061135\cdot 193^{62k+31}+97947\cdot 193^{61k+31}+2109307\cdot 193^{60k+30}-372341\cdot 193^{59k+30}+7686981\cdot 193^{58k+29}\\||-687515\cdot 193^{57k+29}+10710065\cdot 193^{56k+28}-802749\cdot 193^{55k+28}+10905969\cdot 193^{54k+27}-722209\cdot 193^{53k+27}\\||+8622235\cdot 193^{52k+26}-488153\cdot 193^{51k+26}+4635051\cdot 193^{50k+25}-166655\cdot 193^{49k+25}-42289\cdot 193^{48k+24}\\||+166041\cdot 193^{47k+24}-4359527\cdot 193^{46k+23}+439187\cdot 193^{45k+23}-7457045\cdot 193^{44k+22}+603059\cdot 193^{43k+22}\\||-8842563\cdot 193^{42k+21}+637391\cdot 193^{41k+21}-8442457\cdot 193^{40k+20}+550875\cdot 193^{39k+20}-6551009\cdot 193^{38k+19}\\||+375223\cdot 193^{37k+19}-3720513\cdot 193^{36k+18}+155201\cdot 193^{35k+18}-595271\cdot 193^{34k+17}-64543\cdot 193^{33k+17}\\||+2266385\cdot 193^{32k+16}-249949\cdot 193^{31k+16}+4483581\cdot 193^{30k+15}-379911\cdot 193^{29k+15}+5842261\cdot 193^{28k+14}\\||-444389\cdot 193^{27k+14}+6280541\cdot 193^{26k+13}-445103\cdot 193^{25k+13}+5914263\cdot 193^{24k+12}-396735\cdot 193^{23k+12}\\||+5017139\cdot 193^{22k+11}-321741\cdot 193^{21k+11}+3902137\cdot 193^{20k+10}-240343\cdot 193^{19k+10}+2797581\cdot 193^{18k+9}\\||-164841\cdot 193^{17k+9}+1825227\cdot 193^{16k+8}-101519\cdot 193^{15k+8}+1051273\cdot 193^{14k+7}-54121\cdot 193^{13k+7}\\||+513011\cdot 193^{12k+6}-23891\cdot 193^{11k+6}+202265\cdot 193^{10k+5}-8295\cdot 193^{9k+5}+60839\cdot 193^{8k+4}\\||-2119\cdot 193^{7k+4}+12871\cdot 193^{6k+3}-359\cdot 193^{5k+3}+1665\cdot 193^{4k+2}-33\cdot 193^{3k+2}\\||+97\cdot 193^{2k+1}-193^{k+1}+1)\\|\times|(193^{192k+96}+193^{191k+96}+97\cdot 193^{190k+95}+33\cdot 193^{189k+95}+1665\cdot 193^{188k+94}\\||+359\cdot 193^{187k+94}+12871\cdot 193^{186k+93}+2119\cdot 193^{185k+93}+60839\cdot 193^{184k+92}+8295\cdot 193^{183k+92}\\||+202265\cdot 193^{182k+91}+23891\cdot 193^{181k+91}+513011\cdot 193^{180k+90}+54121\cdot 193^{179k+90}+1051273\cdot 193^{178k+89}\\||+101519\cdot 193^{177k+89}+1825227\cdot 193^{176k+88}+164841\cdot 193^{175k+88}+2797581\cdot 193^{174k+87}+240343\cdot 193^{173k+87}\\||+3902137\cdot 193^{172k+86}+321741\cdot 193^{171k+86}+5017139\cdot 193^{170k+85}+396735\cdot 193^{169k+85}+5914263\cdot 193^{168k+84}\\||+445103\cdot 193^{167k+84}+6280541\cdot 193^{166k+83}+444389\cdot 193^{165k+83}+5842261\cdot 193^{164k+82}+379911\cdot 193^{163k+82}\\||+4483581\cdot 193^{162k+81}+249949\cdot 193^{161k+81}+2266385\cdot 193^{160k+80}+64543\cdot 193^{159k+80}-595271\cdot 193^{158k+79}\\||-155201\cdot 193^{157k+79}-3720513\cdot 193^{156k+78}-375223\cdot 193^{155k+78}-6551009\cdot 193^{154k+77}-550875\cdot 193^{153k+77}\\||-8442457\cdot 193^{152k+76}-637391\cdot 193^{151k+76}-8842563\cdot 193^{150k+75}-603059\cdot 193^{149k+75}-7457045\cdot 193^{148k+74}\\||-439187\cdot 193^{147k+74}-4359527\cdot 193^{146k+73}-166041\cdot 193^{145k+73}-42289\cdot 193^{144k+72}+166655\cdot 193^{143k+72}\\||+4635051\cdot 193^{142k+71}+488153\cdot 193^{141k+71}+8622235\cdot 193^{140k+70}+722209\cdot 193^{139k+70}+10905969\cdot 193^{138k+69}\\||+802749\cdot 193^{137k+69}+10710065\cdot 193^{136k+68}+687515\cdot 193^{135k+68}+7686981\cdot 193^{134k+67}+372341\cdot 193^{133k+67}\\||+2109307\cdot 193^{132k+66}-97947\cdot 193^{131k+66}-5061135\cdot 193^{130k+65}-632959\cdot 193^{129k+65}-12349103\cdot 193^{128k+64}\\||-1117355\cdot 193^{127k+64}-18122429\cdot 193^{126k+63}-1438133\cdot 193^{125k+63}-20955971\cdot 193^{124k+62}-1508419\cdot 193^{123k+62}\\||-19928513\cdot 193^{122k+61}-1286943\cdot 193^{121k+61}-14867947\cdot 193^{120k+60}-792845\cdot 193^{119k+60}-6489491\cdot 193^{118k+59}\\||-108491\cdot 193^{117k+59}+3686031\cdot 193^{116k+58}+635273\cdot 193^{115k+58}+13642031\cdot 193^{114k+57}+1286761\cdot 193^{113k+57}\\||+21292751\cdot 193^{112k+56}+1705539\cdot 193^{111k+56}+24934157\cdot 193^{110k+55}+1794437\cdot 193^{109k+55}+23664889\cdot 193^{108k+54}\\||+1525961\cdot 193^{107k+54}+17658821\cdot 193^{106k+53}+952303\cdot 193^{105k+53}+8146861\cdot 193^{104k+52}+192839\cdot 193^{103k+52}\\||-2884107\cdot 193^{102k+51}-593553\cdot 193^{101k+51}-13116605\cdot 193^{100k+50}-1240077\cdot 193^{99k+50}-20347287\cdot 193^{98k+49}\\||-1604863\cdot 193^{97k+49}-22957943\cdot 193^{96k+48}-1604863\cdot 193^{95k+48}-20347287\cdot 193^{94k+47}-1240077\cdot 193^{93k+47}\\||-13116605\cdot 193^{92k+46}-593553\cdot 193^{91k+46}-2884107\cdot 193^{90k+45}+192839\cdot 193^{89k+45}+8146861\cdot 193^{88k+44}\\||+952303\cdot 193^{87k+44}+17658821\cdot 193^{86k+43}+1525961\cdot 193^{85k+43}+23664889\cdot 193^{84k+42}+1794437\cdot 193^{83k+42}\\||+24934157\cdot 193^{82k+41}+1705539\cdot 193^{81k+41}+21292751\cdot 193^{80k+40}+1286761\cdot 193^{79k+40}+13642031\cdot 193^{78k+39}\\||+635273\cdot 193^{77k+39}+3686031\cdot 193^{76k+38}-108491\cdot 193^{75k+38}-6489491\cdot 193^{74k+37}-792845\cdot 193^{73k+37}\\||-14867947\cdot 193^{72k+36}-1286943\cdot 193^{71k+36}-19928513\cdot 193^{70k+35}-1508419\cdot 193^{69k+35}-20955971\cdot 193^{68k+34}\\||-1438133\cdot 193^{67k+34}-18122429\cdot 193^{66k+33}-1117355\cdot 193^{65k+33}-12349103\cdot 193^{64k+32}-632959\cdot 193^{63k+32}\\||-5061135\cdot 193^{62k+31}-97947\cdot 193^{61k+31}+2109307\cdot 193^{60k+30}+372341\cdot 193^{59k+30}+7686981\cdot 193^{58k+29}\\||+687515\cdot 193^{57k+29}+10710065\cdot 193^{56k+28}+802749\cdot 193^{55k+28}+10905969\cdot 193^{54k+27}+722209\cdot 193^{53k+27}\\||+8622235\cdot 193^{52k+26}+488153\cdot 193^{51k+26}+4635051\cdot 193^{50k+25}+166655\cdot 193^{49k+25}-42289\cdot 193^{48k+24}\\||-166041\cdot 193^{47k+24}-4359527\cdot 193^{46k+23}-439187\cdot 193^{45k+23}-7457045\cdot 193^{44k+22}-603059\cdot 193^{43k+22}\\||-8842563\cdot 193^{42k+21}-637391\cdot 193^{41k+21}-8442457\cdot 193^{40k+20}-550875\cdot 193^{39k+20}-6551009\cdot 193^{38k+19}\\||-375223\cdot 193^{37k+19}-3720513\cdot 193^{36k+18}-155201\cdot 193^{35k+18}-595271\cdot 193^{34k+17}+64543\cdot 193^{33k+17}\\||+2266385\cdot 193^{32k+16}+249949\cdot 193^{31k+16}+4483581\cdot 193^{30k+15}+379911\cdot 193^{29k+15}+5842261\cdot 193^{28k+14}\\||+444389\cdot 193^{27k+14}+6280541\cdot 193^{26k+13}+445103\cdot 193^{25k+13}+5914263\cdot 193^{24k+12}+396735\cdot 193^{23k+12}\\||+5017139\cdot 193^{22k+11}+321741\cdot 193^{21k+11}+3902137\cdot 193^{20k+10}+240343\cdot 193^{19k+10}+2797581\cdot 193^{18k+9}\\||+164841\cdot 193^{17k+9}+1825227\cdot 193^{16k+8}+101519\cdot 193^{15k+8}+1051273\cdot 193^{14k+7}+54121\cdot 193^{13k+7}\\||+513011\cdot 193^{12k+6}+23891\cdot 193^{11k+6}+202265\cdot 193^{10k+5}+8295\cdot 193^{9k+5}+60839\cdot 193^{8k+4}\\||+2119\cdot 193^{7k+4}+12871\cdot 193^{6k+3}+359\cdot 193^{5k+3}+1665\cdot 193^{4k+2}+33\cdot 193^{3k+2}\\||+97\cdot 193^{2k+1}+193^{k+1}+1)\\{\large\Phi}_{388}(194^{2k+1})|=|194^{384k+192}-194^{380k+190}+194^{376k+188}-194^{372k+186}+194^{368k+184}\\||-194^{364k+182}+194^{360k+180}-194^{356k+178}+194^{352k+176}-194^{348k+174}\\||+194^{344k+172}-194^{340k+170}+194^{336k+168}-194^{332k+166}+194^{328k+164}\\||-194^{324k+162}+194^{320k+160}-194^{316k+158}+194^{312k+156}-194^{308k+154}\\||+194^{304k+152}-194^{300k+150}+194^{296k+148}-194^{292k+146}+194^{288k+144}\\||-194^{284k+142}+194^{280k+140}-194^{276k+138}+194^{272k+136}-194^{268k+134}\\||+194^{264k+132}-194^{260k+130}+194^{256k+128}-194^{252k+126}+194^{248k+124}\\||-194^{244k+122}+194^{240k+120}-194^{236k+118}+194^{232k+116}-194^{228k+114}\\||+194^{224k+112}-194^{220k+110}+194^{216k+108}-194^{212k+106}+194^{208k+104}\\||-194^{204k+102}+194^{200k+100}-194^{196k+98}+194^{192k+96}-194^{188k+94}\\||+194^{184k+92}-194^{180k+90}+194^{176k+88}-194^{172k+86}+194^{168k+84}\\||-194^{164k+82}+194^{160k+80}-194^{156k+78}+194^{152k+76}-194^{148k+74}\\||+194^{144k+72}-194^{140k+70}+194^{136k+68}-194^{132k+66}+194^{128k+64}\\||-194^{124k+62}+194^{120k+60}-194^{116k+58}+194^{112k+56}-194^{108k+54}\\||+194^{104k+52}-194^{100k+50}+194^{96k+48}-194^{92k+46}+194^{88k+44}\\||-194^{84k+42}+194^{80k+40}-194^{76k+38}+194^{72k+36}-194^{68k+34}\\||+194^{64k+32}-194^{60k+30}+194^{56k+28}-194^{52k+26}+194^{48k+24}\\||-194^{44k+22}+194^{40k+20}-194^{36k+18}+194^{32k+16}-194^{28k+14}\\||+194^{24k+12}-194^{20k+10}+194^{16k+8}-194^{12k+6}+194^{8k+4}\\||-194^{4k+2}+1\\|=|(194^{192k+96}-194^{191k+96}+97\cdot 194^{190k+95}-32\cdot 194^{189k+95}+1503\cdot 194^{188k+94}\\||-281\cdot 194^{187k+94}+8051\cdot 194^{186k+93}-940\cdot 194^{185k+93}+16357\cdot 194^{184k+92}-1017\cdot 194^{183k+92}\\||+4753\cdot 194^{182k+91}+616\cdot 194^{181k+91}-17721\cdot 194^{180k+90}+1095\cdot 194^{179k+90}-1649\cdot 194^{178k+89}\\||-944\cdot 194^{177k+89}+17361\cdot 194^{176k+88}-583\cdot 194^{175k+88}-5723\cdot 194^{174k+87}+900\cdot 194^{173k+87}\\||-9349\cdot 194^{172k+86}+239\cdot 194^{171k+86}-2425\cdot 194^{170k+85}+496\cdot 194^{169k+85}-10919\cdot 194^{168k+84}\\||+687\cdot 194^{167k+84}-1843\cdot 194^{166k+83}-796\cdot 194^{165k+83}+24987\cdot 194^{164k+82}-2137\cdot 194^{163k+82}\\||+15035\cdot 194^{162k+81}+1094\cdot 194^{161k+81}-37751\cdot 194^{160k+80}+2121\cdot 194^{159k+80}+4753\cdot 194^{158k+79}\\||-2394\cdot 194^{157k+79}+31251\cdot 194^{156k+78}-611\cdot 194^{155k+78}-3977\cdot 194^{154k+77}-446\cdot 194^{153k+77}\\||+19573\cdot 194^{152k+76}-949\cdot 194^{151k+76}-9215\cdot 194^{150k+75}+1844\cdot 194^{149k+75}-25513\cdot 194^{148k+74}\\||+1203\cdot 194^{147k+74}-6305\cdot 194^{146k+73}-682\cdot 194^{145k+73}+27461\cdot 194^{144k+72}-1955\cdot 194^{143k+72}\\||-3783\cdot 194^{142k+71}+2996\cdot 194^{141k+71}-44361\cdot 194^{140k+70}+253\cdot 194^{139k+70}+37927\cdot 194^{138k+69}\\||-2534\cdot 194^{137k+69}-2699\cdot 194^{136k+68}+1851\cdot 194^{135k+68}-6111\cdot 194^{134k+67}-2122\cdot 194^{133k+67}\\||+37875\cdot 194^{132k+66}-841\cdot 194^{131k+66}-19497\cdot 194^{130k+65}+2232\cdot 194^{129k+65}-24527\cdot 194^{128k+64}\\||+679\cdot 194^{127k+64}+12513\cdot 194^{126k+63}-2518\cdot 194^{125k+63}+36059\cdot 194^{124k+62}-79\cdot 194^{123k+62}\\||-45493\cdot 194^{122k+61}+4018\cdot 194^{121k+61}-14135\cdot 194^{120k+60}-2827\cdot 194^{119k+60}+50537\cdot 194^{118k+59}\\||-950\cdot 194^{117k+59}-27245\cdot 194^{116k+58}+2129\cdot 194^{115k+58}-97\cdot 194^{114k+57}-1744\cdot 194^{113k+57}\\||+20465\cdot 194^{112k+56}+215\cdot 194^{111k+56}-24347\cdot 194^{110k+55}+2078\cdot 194^{109k+55}-12257\cdot 194^{108k+54}\\||-1501\cdot 194^{107k+54}+52283\cdot 194^{106k+53}-4024\cdot 194^{105k+53}+22245\cdot 194^{104k+52}+1907\cdot 194^{103k+52}\\||-51895\cdot 194^{102k+51}+2604\cdot 194^{101k+51}+479\cdot 194^{100k+50}-1659\cdot 194^{99k+50}+15423\cdot 194^{98k+49}\\||+580\cdot 194^{97k+49}-20255\cdot 194^{96k+48}+580\cdot 194^{95k+48}+15423\cdot 194^{94k+47}-1659\cdot 194^{93k+47}\\||+479\cdot 194^{92k+46}+2604\cdot 194^{91k+46}-51895\cdot 194^{90k+45}+1907\cdot 194^{89k+45}+22245\cdot 194^{88k+44}\\||-4024\cdot 194^{87k+44}+52283\cdot 194^{86k+43}-1501\cdot 194^{85k+43}-12257\cdot 194^{84k+42}+2078\cdot 194^{83k+42}\\||-24347\cdot 194^{82k+41}+215\cdot 194^{81k+41}+20465\cdot 194^{80k+40}-1744\cdot 194^{79k+40}-97\cdot 194^{78k+39}\\||+2129\cdot 194^{77k+39}-27245\cdot 194^{76k+38}-950\cdot 194^{75k+38}+50537\cdot 194^{74k+37}-2827\cdot 194^{73k+37}\\||-14135\cdot 194^{72k+36}+4018\cdot 194^{71k+36}-45493\cdot 194^{70k+35}-79\cdot 194^{69k+35}+36059\cdot 194^{68k+34}\\||-2518\cdot 194^{67k+34}+12513\cdot 194^{66k+33}+679\cdot 194^{65k+33}-24527\cdot 194^{64k+32}+2232\cdot 194^{63k+32}\\||-19497\cdot 194^{62k+31}-841\cdot 194^{61k+31}+37875\cdot 194^{60k+30}-2122\cdot 194^{59k+30}-6111\cdot 194^{58k+29}\\||+1851\cdot 194^{57k+29}-2699\cdot 194^{56k+28}-2534\cdot 194^{55k+28}+37927\cdot 194^{54k+27}+253\cdot 194^{53k+27}\\||-44361\cdot 194^{52k+26}+2996\cdot 194^{51k+26}-3783\cdot 194^{50k+25}-1955\cdot 194^{49k+25}+27461\cdot 194^{48k+24}\\||-682\cdot 194^{47k+24}-6305\cdot 194^{46k+23}+1203\cdot 194^{45k+23}-25513\cdot 194^{44k+22}+1844\cdot 194^{43k+22}\\||-9215\cdot 194^{42k+21}-949\cdot 194^{41k+21}+19573\cdot 194^{40k+20}-446\cdot 194^{39k+20}-3977\cdot 194^{38k+19}\\||-611\cdot 194^{37k+19}+31251\cdot 194^{36k+18}-2394\cdot 194^{35k+18}+4753\cdot 194^{34k+17}+2121\cdot 194^{33k+17}\\||-37751\cdot 194^{32k+16}+1094\cdot 194^{31k+16}+15035\cdot 194^{30k+15}-2137\cdot 194^{29k+15}+24987\cdot 194^{28k+14}\\||-796\cdot 194^{27k+14}-1843\cdot 194^{26k+13}+687\cdot 194^{25k+13}-10919\cdot 194^{24k+12}+496\cdot 194^{23k+12}\\||-2425\cdot 194^{22k+11}+239\cdot 194^{21k+11}-9349\cdot 194^{20k+10}+900\cdot 194^{19k+10}-5723\cdot 194^{18k+9}\\||-583\cdot 194^{17k+9}+17361\cdot 194^{16k+8}-944\cdot 194^{15k+8}-1649\cdot 194^{14k+7}+1095\cdot 194^{13k+7}\\||-17721\cdot 194^{12k+6}+616\cdot 194^{11k+6}+4753\cdot 194^{10k+5}-1017\cdot 194^{9k+5}+16357\cdot 194^{8k+4}\\||-940\cdot 194^{7k+4}+8051\cdot 194^{6k+3}-281\cdot 194^{5k+3}+1503\cdot 194^{4k+2}-32\cdot 194^{3k+2}\\||+97\cdot 194^{2k+1}-194^{k+1}+1)\\|\times|(194^{192k+96}+194^{191k+96}+97\cdot 194^{190k+95}+32\cdot 194^{189k+95}+1503\cdot 194^{188k+94}\\||+281\cdot 194^{187k+94}+8051\cdot 194^{186k+93}+940\cdot 194^{185k+93}+16357\cdot 194^{184k+92}+1017\cdot 194^{183k+92}\\||+4753\cdot 194^{182k+91}-616\cdot 194^{181k+91}-17721\cdot 194^{180k+90}-1095\cdot 194^{179k+90}-1649\cdot 194^{178k+89}\\||+944\cdot 194^{177k+89}+17361\cdot 194^{176k+88}+583\cdot 194^{175k+88}-5723\cdot 194^{174k+87}-900\cdot 194^{173k+87}\\||-9349\cdot 194^{172k+86}-239\cdot 194^{171k+86}-2425\cdot 194^{170k+85}-496\cdot 194^{169k+85}-10919\cdot 194^{168k+84}\\||-687\cdot 194^{167k+84}-1843\cdot 194^{166k+83}+796\cdot 194^{165k+83}+24987\cdot 194^{164k+82}+2137\cdot 194^{163k+82}\\||+15035\cdot 194^{162k+81}-1094\cdot 194^{161k+81}-37751\cdot 194^{160k+80}-2121\cdot 194^{159k+80}+4753\cdot 194^{158k+79}\\||+2394\cdot 194^{157k+79}+31251\cdot 194^{156k+78}+611\cdot 194^{155k+78}-3977\cdot 194^{154k+77}+446\cdot 194^{153k+77}\\||+19573\cdot 194^{152k+76}+949\cdot 194^{151k+76}-9215\cdot 194^{150k+75}-1844\cdot 194^{149k+75}-25513\cdot 194^{148k+74}\\||-1203\cdot 194^{147k+74}-6305\cdot 194^{146k+73}+682\cdot 194^{145k+73}+27461\cdot 194^{144k+72}+1955\cdot 194^{143k+72}\\||-3783\cdot 194^{142k+71}-2996\cdot 194^{141k+71}-44361\cdot 194^{140k+70}-253\cdot 194^{139k+70}+37927\cdot 194^{138k+69}\\||+2534\cdot 194^{137k+69}-2699\cdot 194^{136k+68}-1851\cdot 194^{135k+68}-6111\cdot 194^{134k+67}+2122\cdot 194^{133k+67}\\||+37875\cdot 194^{132k+66}+841\cdot 194^{131k+66}-19497\cdot 194^{130k+65}-2232\cdot 194^{129k+65}-24527\cdot 194^{128k+64}\\||-679\cdot 194^{127k+64}+12513\cdot 194^{126k+63}+2518\cdot 194^{125k+63}+36059\cdot 194^{124k+62}+79\cdot 194^{123k+62}\\||-45493\cdot 194^{122k+61}-4018\cdot 194^{121k+61}-14135\cdot 194^{120k+60}+2827\cdot 194^{119k+60}+50537\cdot 194^{118k+59}\\||+950\cdot 194^{117k+59}-27245\cdot 194^{116k+58}-2129\cdot 194^{115k+58}-97\cdot 194^{114k+57}+1744\cdot 194^{113k+57}\\||+20465\cdot 194^{112k+56}-215\cdot 194^{111k+56}-24347\cdot 194^{110k+55}-2078\cdot 194^{109k+55}-12257\cdot 194^{108k+54}\\||+1501\cdot 194^{107k+54}+52283\cdot 194^{106k+53}+4024\cdot 194^{105k+53}+22245\cdot 194^{104k+52}-1907\cdot 194^{103k+52}\\||-51895\cdot 194^{102k+51}-2604\cdot 194^{101k+51}+479\cdot 194^{100k+50}+1659\cdot 194^{99k+50}+15423\cdot 194^{98k+49}\\||-580\cdot 194^{97k+49}-20255\cdot 194^{96k+48}-580\cdot 194^{95k+48}+15423\cdot 194^{94k+47}+1659\cdot 194^{93k+47}\\||+479\cdot 194^{92k+46}-2604\cdot 194^{91k+46}-51895\cdot 194^{90k+45}-1907\cdot 194^{89k+45}+22245\cdot 194^{88k+44}\\||+4024\cdot 194^{87k+44}+52283\cdot 194^{86k+43}+1501\cdot 194^{85k+43}-12257\cdot 194^{84k+42}-2078\cdot 194^{83k+42}\\||-24347\cdot 194^{82k+41}-215\cdot 194^{81k+41}+20465\cdot 194^{80k+40}+1744\cdot 194^{79k+40}-97\cdot 194^{78k+39}\\||-2129\cdot 194^{77k+39}-27245\cdot 194^{76k+38}+950\cdot 194^{75k+38}+50537\cdot 194^{74k+37}+2827\cdot 194^{73k+37}\\||-14135\cdot 194^{72k+36}-4018\cdot 194^{71k+36}-45493\cdot 194^{70k+35}+79\cdot 194^{69k+35}+36059\cdot 194^{68k+34}\\||+2518\cdot 194^{67k+34}+12513\cdot 194^{66k+33}-679\cdot 194^{65k+33}-24527\cdot 194^{64k+32}-2232\cdot 194^{63k+32}\\||-19497\cdot 194^{62k+31}+841\cdot 194^{61k+31}+37875\cdot 194^{60k+30}+2122\cdot 194^{59k+30}-6111\cdot 194^{58k+29}\\||-1851\cdot 194^{57k+29}-2699\cdot 194^{56k+28}+2534\cdot 194^{55k+28}+37927\cdot 194^{54k+27}-253\cdot 194^{53k+27}\\||-44361\cdot 194^{52k+26}-2996\cdot 194^{51k+26}-3783\cdot 194^{50k+25}+1955\cdot 194^{49k+25}+27461\cdot 194^{48k+24}\\||+682\cdot 194^{47k+24}-6305\cdot 194^{46k+23}-1203\cdot 194^{45k+23}-25513\cdot 194^{44k+22}-1844\cdot 194^{43k+22}\\||-9215\cdot 194^{42k+21}+949\cdot 194^{41k+21}+19573\cdot 194^{40k+20}+446\cdot 194^{39k+20}-3977\cdot 194^{38k+19}\\||+611\cdot 194^{37k+19}+31251\cdot 194^{36k+18}+2394\cdot 194^{35k+18}+4753\cdot 194^{34k+17}-2121\cdot 194^{33k+17}\\||-37751\cdot 194^{32k+16}-1094\cdot 194^{31k+16}+15035\cdot 194^{30k+15}+2137\cdot 194^{29k+15}+24987\cdot 194^{28k+14}\\||+796\cdot 194^{27k+14}-1843\cdot 194^{26k+13}-687\cdot 194^{25k+13}-10919\cdot 194^{24k+12}-496\cdot 194^{23k+12}\\||-2425\cdot 194^{22k+11}-239\cdot 194^{21k+11}-9349\cdot 194^{20k+10}-900\cdot 194^{19k+10}-5723\cdot 194^{18k+9}\\||+583\cdot 194^{17k+9}+17361\cdot 194^{16k+8}+944\cdot 194^{15k+8}-1649\cdot 194^{14k+7}-1095\cdot 194^{13k+7}\\||-17721\cdot 194^{12k+6}-616\cdot 194^{11k+6}+4753\cdot 194^{10k+5}+1017\cdot 194^{9k+5}+16357\cdot 194^{8k+4}\\||+940\cdot 194^{7k+4}+8051\cdot 194^{6k+3}+281\cdot 194^{5k+3}+1503\cdot 194^{4k+2}+32\cdot 194^{3k+2}\\||+97\cdot 194^{2k+1}+194^{k+1}+1)\\{\large\Phi}_{390}(195^{2k+1})|=|195^{192k+96}-195^{190k+95}+195^{188k+94}+195^{182k+91}-195^{180k+90}\\||+195^{178k+89}+195^{166k+83}-195^{164k+82}+195^{160k+80}-195^{158k+79}\\||+195^{156k+78}-195^{154k+77}+195^{150k+75}-195^{148k+74}-195^{136k+68}\\||+195^{134k+67}-195^{130k+65}+195^{128k+64}-195^{126k+63}+195^{124k+62}\\||-195^{120k+60}+195^{118k+59}-195^{114k+57}+195^{112k+56}-195^{110k+55}\\||+195^{106k+53}-2\cdot 195^{104k+52}+195^{102k+51}-195^{98k+49}+195^{96k+48}\\||-195^{94k+47}+195^{90k+45}-2\cdot 195^{88k+44}+195^{86k+43}-195^{82k+41}\\||+195^{80k+40}-195^{78k+39}+195^{74k+37}-195^{72k+36}+195^{68k+34}\\||-195^{66k+33}+195^{64k+32}-195^{62k+31}+195^{58k+29}-195^{56k+28}\\||-195^{44k+22}+195^{42k+21}-195^{38k+19}+195^{36k+18}-195^{34k+17}\\||+195^{32k+16}-195^{28k+14}+195^{26k+13}+195^{14k+7}-195^{12k+6}\\||+195^{10k+5}+195^{4k+2}-195^{2k+1}+1\\|=|(195^{96k+48}-195^{95k+48}+97\cdot 195^{94k+47}-32\cdot 195^{93k+47}+1536\cdot 195^{92k+46}\\||-301\cdot 195^{91k+46}+9543\cdot 195^{90k+45}-1325\cdot 195^{89k+45}+31296\cdot 195^{88k+44}-3360\cdot 195^{87k+44}\\||+63038\cdot 195^{86k+43}-5464\cdot 195^{85k+43}+82988\cdot 195^{84k+42}-5717\cdot 195^{83k+42}+64881\cdot 195^{82k+41}\\||-2732\cdot 195^{81k+41}+1833\cdot 195^{80k+40}+2871\cdot 195^{79k+40}-82599\cdot 195^{78k+39}+8619\cdot 195^{77k+39}\\||-148268\cdot 195^{76k+38}+11593\cdot 195^{75k+38}-157859\cdot 195^{74k+37}+9620\cdot 195^{73k+37}-91380\cdot 195^{72k+36}\\||+2248\cdot 195^{71k+36}+40448\cdot 195^{70k+35}-8310\cdot 195^{69k+35}+185021\cdot 195^{68k+34}-16923\cdot 195^{67k+34}\\||+260342\cdot 195^{66k+33}-17981\cdot 195^{65k+33}+207587\cdot 195^{64k+32}-9617\cdot 195^{63k+32}+40377\cdot 195^{62k+31}\\||+4438\cdot 195^{61k+31}-159599\cdot 195^{60k+30}+17203\cdot 195^{59k+30}-293822\cdot 195^{58k+29}+22449\cdot 195^{57k+29}\\||-295985\cdot 195^{56k+28}+17331\cdot 195^{55k+28}-156194\cdot 195^{54k+27}+3367\cdot 195^{53k+27}+73422\cdot 195^{52k+26}\\||-13631\cdot 195^{51k+26}+288188\cdot 195^{50k+25}-25293\cdot 195^{49k+25}+375977\cdot 195^{48k+24}-25293\cdot 195^{47k+24}\\||+288188\cdot 195^{46k+23}-13631\cdot 195^{45k+23}+73422\cdot 195^{44k+22}+3367\cdot 195^{43k+22}-156194\cdot 195^{42k+21}\\||+17331\cdot 195^{41k+21}-295985\cdot 195^{40k+20}+22449\cdot 195^{39k+20}-293822\cdot 195^{38k+19}+17203\cdot 195^{37k+19}\\||-159599\cdot 195^{36k+18}+4438\cdot 195^{35k+18}+40377\cdot 195^{34k+17}-9617\cdot 195^{33k+17}+207587\cdot 195^{32k+16}\\||-17981\cdot 195^{31k+16}+260342\cdot 195^{30k+15}-16923\cdot 195^{29k+15}+185021\cdot 195^{28k+14}-8310\cdot 195^{27k+14}\\||+40448\cdot 195^{26k+13}+2248\cdot 195^{25k+13}-91380\cdot 195^{24k+12}+9620\cdot 195^{23k+12}-157859\cdot 195^{22k+11}\\||+11593\cdot 195^{21k+11}-148268\cdot 195^{20k+10}+8619\cdot 195^{19k+10}-82599\cdot 195^{18k+9}+2871\cdot 195^{17k+9}\\||+1833\cdot 195^{16k+8}-2732\cdot 195^{15k+8}+64881\cdot 195^{14k+7}-5717\cdot 195^{13k+7}+82988\cdot 195^{12k+6}\\||-5464\cdot 195^{11k+6}+63038\cdot 195^{10k+5}-3360\cdot 195^{9k+5}+31296\cdot 195^{8k+4}-1325\cdot 195^{7k+4}\\||+9543\cdot 195^{6k+3}-301\cdot 195^{5k+3}+1536\cdot 195^{4k+2}-32\cdot 195^{3k+2}+97\cdot 195^{2k+1}\\||-195^{k+1}+1)\\|\times|(195^{96k+48}+195^{95k+48}+97\cdot 195^{94k+47}+32\cdot 195^{93k+47}+1536\cdot 195^{92k+46}\\||+301\cdot 195^{91k+46}+9543\cdot 195^{90k+45}+1325\cdot 195^{89k+45}+31296\cdot 195^{88k+44}+3360\cdot 195^{87k+44}\\||+63038\cdot 195^{86k+43}+5464\cdot 195^{85k+43}+82988\cdot 195^{84k+42}+5717\cdot 195^{83k+42}+64881\cdot 195^{82k+41}\\||+2732\cdot 195^{81k+41}+1833\cdot 195^{80k+40}-2871\cdot 195^{79k+40}-82599\cdot 195^{78k+39}-8619\cdot 195^{77k+39}\\||-148268\cdot 195^{76k+38}-11593\cdot 195^{75k+38}-157859\cdot 195^{74k+37}-9620\cdot 195^{73k+37}-91380\cdot 195^{72k+36}\\||-2248\cdot 195^{71k+36}+40448\cdot 195^{70k+35}+8310\cdot 195^{69k+35}+185021\cdot 195^{68k+34}+16923\cdot 195^{67k+34}\\||+260342\cdot 195^{66k+33}+17981\cdot 195^{65k+33}+207587\cdot 195^{64k+32}+9617\cdot 195^{63k+32}+40377\cdot 195^{62k+31}\\||-4438\cdot 195^{61k+31}-159599\cdot 195^{60k+30}-17203\cdot 195^{59k+30}-293822\cdot 195^{58k+29}-22449\cdot 195^{57k+29}\\||-295985\cdot 195^{56k+28}-17331\cdot 195^{55k+28}-156194\cdot 195^{54k+27}-3367\cdot 195^{53k+27}+73422\cdot 195^{52k+26}\\||+13631\cdot 195^{51k+26}+288188\cdot 195^{50k+25}+25293\cdot 195^{49k+25}+375977\cdot 195^{48k+24}+25293\cdot 195^{47k+24}\\||+288188\cdot 195^{46k+23}+13631\cdot 195^{45k+23}+73422\cdot 195^{44k+22}-3367\cdot 195^{43k+22}-156194\cdot 195^{42k+21}\\||-17331\cdot 195^{41k+21}-295985\cdot 195^{40k+20}-22449\cdot 195^{39k+20}-293822\cdot 195^{38k+19}-17203\cdot 195^{37k+19}\\||-159599\cdot 195^{36k+18}-4438\cdot 195^{35k+18}+40377\cdot 195^{34k+17}+9617\cdot 195^{33k+17}+207587\cdot 195^{32k+16}\\||+17981\cdot 195^{31k+16}+260342\cdot 195^{30k+15}+16923\cdot 195^{29k+15}+185021\cdot 195^{28k+14}+8310\cdot 195^{27k+14}\\||+40448\cdot 195^{26k+13}-2248\cdot 195^{25k+13}-91380\cdot 195^{24k+12}-9620\cdot 195^{23k+12}-157859\cdot 195^{22k+11}\\||-11593\cdot 195^{21k+11}-148268\cdot 195^{20k+10}-8619\cdot 195^{19k+10}-82599\cdot 195^{18k+9}-2871\cdot 195^{17k+9}\\||+1833\cdot 195^{16k+8}+2732\cdot 195^{15k+8}+64881\cdot 195^{14k+7}+5717\cdot 195^{13k+7}+82988\cdot 195^{12k+6}\\||+5464\cdot 195^{11k+6}+63038\cdot 195^{10k+5}+3360\cdot 195^{9k+5}+31296\cdot 195^{8k+4}+1325\cdot 195^{7k+4}\\||+9543\cdot 195^{6k+3}+301\cdot 195^{5k+3}+1536\cdot 195^{4k+2}+32\cdot 195^{3k+2}+97\cdot 195^{2k+1}\\||+195^{k+1}+1)\end{eqnarray}%%
Φ197(1972k+1)⋯Φ398(1992k+1)Φ197(1972k+1)⋯Φ398(1992k+1)
%%\begin{eqnarray}{\large\Phi}_{197}(197^{2k+1})|=|197^{392k+196}+197^{390k+195}+197^{388k+194}+197^{386k+193}+197^{384k+192}\\||+197^{382k+191}+197^{380k+190}+197^{378k+189}+197^{376k+188}+197^{374k+187}\\||+197^{372k+186}+197^{370k+185}+197^{368k+184}+197^{366k+183}+197^{364k+182}\\||+197^{362k+181}+197^{360k+180}+197^{358k+179}+197^{356k+178}+197^{354k+177}\\||+197^{352k+176}+197^{350k+175}+197^{348k+174}+197^{346k+173}+197^{344k+172}\\||+197^{342k+171}+197^{340k+170}+197^{338k+169}+197^{336k+168}+197^{334k+167}\\||+197^{332k+166}+197^{330k+165}+197^{328k+164}+197^{326k+163}+197^{324k+162}\\||+197^{322k+161}+197^{320k+160}+197^{318k+159}+197^{316k+158}+197^{314k+157}\\||+197^{312k+156}+197^{310k+155}+197^{308k+154}+197^{306k+153}+197^{304k+152}\\||+197^{302k+151}+197^{300k+150}+197^{298k+149}+197^{296k+148}+197^{294k+147}\\||+197^{292k+146}+197^{290k+145}+197^{288k+144}+197^{286k+143}+197^{284k+142}\\||+197^{282k+141}+197^{280k+140}+197^{278k+139}+197^{276k+138}+197^{274k+137}\\||+197^{272k+136}+197^{270k+135}+197^{268k+134}+197^{266k+133}+197^{264k+132}\\||+197^{262k+131}+197^{260k+130}+197^{258k+129}+197^{256k+128}+197^{254k+127}\\||+197^{252k+126}+197^{250k+125}+197^{248k+124}+197^{246k+123}+197^{244k+122}\\||+197^{242k+121}+197^{240k+120}+197^{238k+119}+197^{236k+118}+197^{234k+117}\\||+197^{232k+116}+197^{230k+115}+197^{228k+114}+197^{226k+113}+197^{224k+112}\\||+197^{222k+111}+197^{220k+110}+197^{218k+109}+197^{216k+108}+197^{214k+107}\\||+197^{212k+106}+197^{210k+105}+197^{208k+104}+197^{206k+103}+197^{204k+102}\\||+197^{202k+101}+197^{200k+100}+197^{198k+99}+197^{196k+98}+197^{194k+97}\\||+197^{192k+96}+197^{190k+95}+197^{188k+94}+197^{186k+93}+197^{184k+92}\\||+197^{182k+91}+197^{180k+90}+197^{178k+89}+197^{176k+88}+197^{174k+87}\\||+197^{172k+86}+197^{170k+85}+197^{168k+84}+197^{166k+83}+197^{164k+82}\\||+197^{162k+81}+197^{160k+80}+197^{158k+79}+197^{156k+78}+197^{154k+77}\\||+197^{152k+76}+197^{150k+75}+197^{148k+74}+197^{146k+73}+197^{144k+72}\\||+197^{142k+71}+197^{140k+70}+197^{138k+69}+197^{136k+68}+197^{134k+67}\\||+197^{132k+66}+197^{130k+65}+197^{128k+64}+197^{126k+63}+197^{124k+62}\\||+197^{122k+61}+197^{120k+60}+197^{118k+59}+197^{116k+58}+197^{114k+57}\\||+197^{112k+56}+197^{110k+55}+197^{108k+54}+197^{106k+53}+197^{104k+52}\\||+197^{102k+51}+197^{100k+50}+197^{98k+49}+197^{96k+48}+197^{94k+47}\\||+197^{92k+46}+197^{90k+45}+197^{88k+44}+197^{86k+43}+197^{84k+42}\\||+197^{82k+41}+197^{80k+40}+197^{78k+39}+197^{76k+38}+197^{74k+37}\\||+197^{72k+36}+197^{70k+35}+197^{68k+34}+197^{66k+33}+197^{64k+32}\\||+197^{62k+31}+197^{60k+30}+197^{58k+29}+197^{56k+28}+197^{54k+27}\\||+197^{52k+26}+197^{50k+25}+197^{48k+24}+197^{46k+23}+197^{44k+22}\\||+197^{42k+21}+197^{40k+20}+197^{38k+19}+197^{36k+18}+197^{34k+17}\\||+197^{32k+16}+197^{30k+15}+197^{28k+14}+197^{26k+13}+197^{24k+12}\\||+197^{22k+11}+197^{20k+10}+197^{18k+9}+197^{16k+8}+197^{14k+7}\\||+197^{12k+6}+197^{10k+5}+197^{8k+4}+197^{6k+3}+197^{4k+2}\\||+197^{2k+1}+1\\|=|(197^{196k+98}-197^{195k+98}+99\cdot 197^{194k+97}-33\cdot 197^{193k+97}+1601\cdot 197^{192k+96}\\||-307\cdot 197^{191k+96}+9247\cdot 197^{190k+95}-1127\cdot 197^{189k+95}+20773\cdot 197^{188k+94}-1277\cdot 197^{187k+94}\\||+749\cdot 197^{186k+93}+2257\cdot 197^{185k+93}-68247\cdot 197^{184k+92}+6041\cdot 197^{183k+92}-54071\cdot 197^{182k+91}\\||-2413\cdot 197^{181k+91}+151689\cdot 197^{180k+90}-16567\cdot 197^{179k+90}+198389\cdot 197^{178k+89}-957\cdot 197^{177k+89}\\||-267221\cdot 197^{176k+88}+35191\cdot 197^{175k+88}-488439\cdot 197^{174k+87}+11403\cdot 197^{173k+87}+394157\cdot 197^{172k+86}\\||-63109\cdot 197^{171k+86}+967277\cdot 197^{170k+85}-32231\cdot 197^{169k+85}-503673\cdot 197^{168k+84}+100097\cdot 197^{167k+84}\\||-1650819\cdot 197^{166k+83}+64889\cdot 197^{165k+83}+584077\cdot 197^{164k+82}-146317\cdot 197^{163k+82}+2553313\cdot 197^{162k+81}\\||-110915\cdot 197^{161k+81}-609697\cdot 197^{160k+80}+199789\cdot 197^{159k+80}-3648775\cdot 197^{158k+79}+169143\cdot 197^{157k+79}\\||+578681\cdot 197^{156k+78}-258921\cdot 197^{155k+78}+4903917\cdot 197^{154k+77}-237813\cdot 197^{153k+77}-487561\cdot 197^{152k+76}\\||+320943\cdot 197^{151k+76}-6256141\cdot 197^{150k+75}+312637\cdot 197^{149k+75}+367541\cdot 197^{148k+74}-385205\cdot 197^{147k+74}\\||+7667523\cdot 197^{146k+73}-390899\cdot 197^{145k+73}-227731\cdot 197^{144k+72}+449391\cdot 197^{143k+72}-9074939\cdot 197^{142k+71}\\||+467843\cdot 197^{141k+71}+112475\cdot 197^{140k+70}-514349\cdot 197^{139k+70}+10467787\cdot 197^{138k+69}-542635\cdot 197^{137k+69}\\||-16241\cdot 197^{136k+68}+578161\cdot 197^{135k+68}-11809025\cdot 197^{134k+67}+613189\cdot 197^{133k+67}-51193\cdot 197^{132k+66}\\||-640323\cdot 197^{131k+66}+13090005\cdot 197^{130k+65}-680027\cdot 197^{129k+65}+121293\cdot 197^{128k+64}+697325\cdot 197^{127k+64}\\||-14260345\cdot 197^{126k+63}+740703\cdot 197^{125k+63}-184305\cdot 197^{124k+62}-748381\cdot 197^{123k+62}+15301563\cdot 197^{122k+61}\\||-794489\cdot 197^{121k+61}+248477\cdot 197^{120k+60}+791589\cdot 197^{119k+60}-16177899\cdot 197^{118k+59}+839125\cdot 197^{117k+59}\\||-296167\cdot 197^{116k+58}-826993\cdot 197^{115k+58}+16876987\cdot 197^{114k+57}-873387\cdot 197^{113k+57}+314205\cdot 197^{112k+56}\\||+854775\cdot 197^{111k+56}-17388137\cdot 197^{110k+55}+895675\cdot 197^{109k+55}-272339\cdot 197^{108k+54}-877343\cdot 197^{107k+54}\\||+17745271\cdot 197^{106k+53}-908201\cdot 197^{105k+53}+195769\cdot 197^{104k+52}+893447\cdot 197^{103k+52}-17937085\cdot 197^{102k+51}\\||+910223\cdot 197^{101k+51}-67703\cdot 197^{100k+50}-905125\cdot 197^{99k+50}+18004419\cdot 197^{98k+49}-905125\cdot 197^{97k+49}\\||-67703\cdot 197^{96k+48}+910223\cdot 197^{95k+48}-17937085\cdot 197^{94k+47}+893447\cdot 197^{93k+47}+195769\cdot 197^{92k+46}\\||-908201\cdot 197^{91k+46}+17745271\cdot 197^{90k+45}-877343\cdot 197^{89k+45}-272339\cdot 197^{88k+44}+895675\cdot 197^{87k+44}\\||-17388137\cdot 197^{86k+43}+854775\cdot 197^{85k+43}+314205\cdot 197^{84k+42}-873387\cdot 197^{83k+42}+16876987\cdot 197^{82k+41}\\||-826993\cdot 197^{81k+41}-296167\cdot 197^{80k+40}+839125\cdot 197^{79k+40}-16177899\cdot 197^{78k+39}+791589\cdot 197^{77k+39}\\||+248477\cdot 197^{76k+38}-794489\cdot 197^{75k+38}+15301563\cdot 197^{74k+37}-748381\cdot 197^{73k+37}-184305\cdot 197^{72k+36}\\||+740703\cdot 197^{71k+36}-14260345\cdot 197^{70k+35}+697325\cdot 197^{69k+35}+121293\cdot 197^{68k+34}-680027\cdot 197^{67k+34}\\||+13090005\cdot 197^{66k+33}-640323\cdot 197^{65k+33}-51193\cdot 197^{64k+32}+613189\cdot 197^{63k+32}-11809025\cdot 197^{62k+31}\\||+578161\cdot 197^{61k+31}-16241\cdot 197^{60k+30}-542635\cdot 197^{59k+30}+10467787\cdot 197^{58k+29}-514349\cdot 197^{57k+29}\\||+112475\cdot 197^{56k+28}+467843\cdot 197^{55k+28}-9074939\cdot 197^{54k+27}+449391\cdot 197^{53k+27}-227731\cdot 197^{52k+26}\\||-390899\cdot 197^{51k+26}+7667523\cdot 197^{50k+25}-385205\cdot 197^{49k+25}+367541\cdot 197^{48k+24}+312637\cdot 197^{47k+24}\\||-6256141\cdot 197^{46k+23}+320943\cdot 197^{45k+23}-487561\cdot 197^{44k+22}-237813\cdot 197^{43k+22}+4903917\cdot 197^{42k+21}\\||-258921\cdot 197^{41k+21}+578681\cdot 197^{40k+20}+169143\cdot 197^{39k+20}-3648775\cdot 197^{38k+19}+199789\cdot 197^{37k+19}\\||-609697\cdot 197^{36k+18}-110915\cdot 197^{35k+18}+2553313\cdot 197^{34k+17}-146317\cdot 197^{33k+17}+584077\cdot 197^{32k+16}\\||+64889\cdot 197^{31k+16}-1650819\cdot 197^{30k+15}+100097\cdot 197^{29k+15}-503673\cdot 197^{28k+14}-32231\cdot 197^{27k+14}\\||+967277\cdot 197^{26k+13}-63109\cdot 197^{25k+13}+394157\cdot 197^{24k+12}+11403\cdot 197^{23k+12}-488439\cdot 197^{22k+11}\\||+35191\cdot 197^{21k+11}-267221\cdot 197^{20k+10}-957\cdot 197^{19k+10}+198389\cdot 197^{18k+9}-16567\cdot 197^{17k+9}\\||+151689\cdot 197^{16k+8}-2413\cdot 197^{15k+8}-54071\cdot 197^{14k+7}+6041\cdot 197^{13k+7}-68247\cdot 197^{12k+6}\\||+2257\cdot 197^{11k+6}+749\cdot 197^{10k+5}-1277\cdot 197^{9k+5}+20773\cdot 197^{8k+4}-1127\cdot 197^{7k+4}\\||+9247\cdot 197^{6k+3}-307\cdot 197^{5k+3}+1601\cdot 197^{4k+2}-33\cdot 197^{3k+2}+99\cdot 197^{2k+1}\\||-197^{k+1}+1)\\|\times|(197^{196k+98}+197^{195k+98}+99\cdot 197^{194k+97}+33\cdot 197^{193k+97}+1601\cdot 197^{192k+96}\\||+307\cdot 197^{191k+96}+9247\cdot 197^{190k+95}+1127\cdot 197^{189k+95}+20773\cdot 197^{188k+94}+1277\cdot 197^{187k+94}\\||+749\cdot 197^{186k+93}-2257\cdot 197^{185k+93}-68247\cdot 197^{184k+92}-6041\cdot 197^{183k+92}-54071\cdot 197^{182k+91}\\||+2413\cdot 197^{181k+91}+151689\cdot 197^{180k+90}+16567\cdot 197^{179k+90}+198389\cdot 197^{178k+89}+957\cdot 197^{177k+89}\\||-267221\cdot 197^{176k+88}-35191\cdot 197^{175k+88}-488439\cdot 197^{174k+87}-11403\cdot 197^{173k+87}+394157\cdot 197^{172k+86}\\||+63109\cdot 197^{171k+86}+967277\cdot 197^{170k+85}+32231\cdot 197^{169k+85}-503673\cdot 197^{168k+84}-100097\cdot 197^{167k+84}\\||-1650819\cdot 197^{166k+83}-64889\cdot 197^{165k+83}+584077\cdot 197^{164k+82}+146317\cdot 197^{163k+82}+2553313\cdot 197^{162k+81}\\||+110915\cdot 197^{161k+81}-609697\cdot 197^{160k+80}-199789\cdot 197^{159k+80}-3648775\cdot 197^{158k+79}-169143\cdot 197^{157k+79}\\||+578681\cdot 197^{156k+78}+258921\cdot 197^{155k+78}+4903917\cdot 197^{154k+77}+237813\cdot 197^{153k+77}-487561\cdot 197^{152k+76}\\||-320943\cdot 197^{151k+76}-6256141\cdot 197^{150k+75}-312637\cdot 197^{149k+75}+367541\cdot 197^{148k+74}+385205\cdot 197^{147k+74}\\||+7667523\cdot 197^{146k+73}+390899\cdot 197^{145k+73}-227731\cdot 197^{144k+72}-449391\cdot 197^{143k+72}-9074939\cdot 197^{142k+71}\\||-467843\cdot 197^{141k+71}+112475\cdot 197^{140k+70}+514349\cdot 197^{139k+70}+10467787\cdot 197^{138k+69}+542635\cdot 197^{137k+69}\\||-16241\cdot 197^{136k+68}-578161\cdot 197^{135k+68}-11809025\cdot 197^{134k+67}-613189\cdot 197^{133k+67}-51193\cdot 197^{132k+66}\\||+640323\cdot 197^{131k+66}+13090005\cdot 197^{130k+65}+680027\cdot 197^{129k+65}+121293\cdot 197^{128k+64}-697325\cdot 197^{127k+64}\\||-14260345\cdot 197^{126k+63}-740703\cdot 197^{125k+63}-184305\cdot 197^{124k+62}+748381\cdot 197^{123k+62}+15301563\cdot 197^{122k+61}\\||+794489\cdot 197^{121k+61}+248477\cdot 197^{120k+60}-791589\cdot 197^{119k+60}-16177899\cdot 197^{118k+59}-839125\cdot 197^{117k+59}\\||-296167\cdot 197^{116k+58}+826993\cdot 197^{115k+58}+16876987\cdot 197^{114k+57}+873387\cdot 197^{113k+57}+314205\cdot 197^{112k+56}\\||-854775\cdot 197^{111k+56}-17388137\cdot 197^{110k+55}-895675\cdot 197^{109k+55}-272339\cdot 197^{108k+54}+877343\cdot 197^{107k+54}\\||+17745271\cdot 197^{106k+53}+908201\cdot 197^{105k+53}+195769\cdot 197^{104k+52}-893447\cdot 197^{103k+52}-17937085\cdot 197^{102k+51}\\||-910223\cdot 197^{101k+51}-67703\cdot 197^{100k+50}+905125\cdot 197^{99k+50}+18004419\cdot 197^{98k+49}+905125\cdot 197^{97k+49}\\||-67703\cdot 197^{96k+48}-910223\cdot 197^{95k+48}-17937085\cdot 197^{94k+47}-893447\cdot 197^{93k+47}+195769\cdot 197^{92k+46}\\||+908201\cdot 197^{91k+46}+17745271\cdot 197^{90k+45}+877343\cdot 197^{89k+45}-272339\cdot 197^{88k+44}-895675\cdot 197^{87k+44}\\||-17388137\cdot 197^{86k+43}-854775\cdot 197^{85k+43}+314205\cdot 197^{84k+42}+873387\cdot 197^{83k+42}+16876987\cdot 197^{82k+41}\\||+826993\cdot 197^{81k+41}-296167\cdot 197^{80k+40}-839125\cdot 197^{79k+40}-16177899\cdot 197^{78k+39}-791589\cdot 197^{77k+39}\\||+248477\cdot 197^{76k+38}+794489\cdot 197^{75k+38}+15301563\cdot 197^{74k+37}+748381\cdot 197^{73k+37}-184305\cdot 197^{72k+36}\\||-740703\cdot 197^{71k+36}-14260345\cdot 197^{70k+35}-697325\cdot 197^{69k+35}+121293\cdot 197^{68k+34}+680027\cdot 197^{67k+34}\\||+13090005\cdot 197^{66k+33}+640323\cdot 197^{65k+33}-51193\cdot 197^{64k+32}-613189\cdot 197^{63k+32}-11809025\cdot 197^{62k+31}\\||-578161\cdot 197^{61k+31}-16241\cdot 197^{60k+30}+542635\cdot 197^{59k+30}+10467787\cdot 197^{58k+29}+514349\cdot 197^{57k+29}\\||+112475\cdot 197^{56k+28}-467843\cdot 197^{55k+28}-9074939\cdot 197^{54k+27}-449391\cdot 197^{53k+27}-227731\cdot 197^{52k+26}\\||+390899\cdot 197^{51k+26}+7667523\cdot 197^{50k+25}+385205\cdot 197^{49k+25}+367541\cdot 197^{48k+24}-312637\cdot 197^{47k+24}\\||-6256141\cdot 197^{46k+23}-320943\cdot 197^{45k+23}-487561\cdot 197^{44k+22}+237813\cdot 197^{43k+22}+4903917\cdot 197^{42k+21}\\||+258921\cdot 197^{41k+21}+578681\cdot 197^{40k+20}-169143\cdot 197^{39k+20}-3648775\cdot 197^{38k+19}-199789\cdot 197^{37k+19}\\||-609697\cdot 197^{36k+18}+110915\cdot 197^{35k+18}+2553313\cdot 197^{34k+17}+146317\cdot 197^{33k+17}+584077\cdot 197^{32k+16}\\||-64889\cdot 197^{31k+16}-1650819\cdot 197^{30k+15}-100097\cdot 197^{29k+15}-503673\cdot 197^{28k+14}+32231\cdot 197^{27k+14}\\||+967277\cdot 197^{26k+13}+63109\cdot 197^{25k+13}+394157\cdot 197^{24k+12}-11403\cdot 197^{23k+12}-488439\cdot 197^{22k+11}\\||-35191\cdot 197^{21k+11}-267221\cdot 197^{20k+10}+957\cdot 197^{19k+10}+198389\cdot 197^{18k+9}+16567\cdot 197^{17k+9}\\||+151689\cdot 197^{16k+8}+2413\cdot 197^{15k+8}-54071\cdot 197^{14k+7}-6041\cdot 197^{13k+7}-68247\cdot 197^{12k+6}\\||-2257\cdot 197^{11k+6}+749\cdot 197^{10k+5}+1277\cdot 197^{9k+5}+20773\cdot 197^{8k+4}+1127\cdot 197^{7k+4}\\||+9247\cdot 197^{6k+3}+307\cdot 197^{5k+3}+1601\cdot 197^{4k+2}+33\cdot 197^{3k+2}+99\cdot 197^{2k+1}\\||+197^{k+1}+1)\\{\large\Phi}_{398}(199^{2k+1})|=|199^{396k+198}-199^{394k+197}+199^{392k+196}-199^{390k+195}+199^{388k+194}\\||-199^{386k+193}+199^{384k+192}-199^{382k+191}+199^{380k+190}-199^{378k+189}\\||+199^{376k+188}-199^{374k+187}+199^{372k+186}-199^{370k+185}+199^{368k+184}\\||-199^{366k+183}+199^{364k+182}-199^{362k+181}+199^{360k+180}-199^{358k+179}\\||+199^{356k+178}-199^{354k+177}+199^{352k+176}-199^{350k+175}+199^{348k+174}\\||-199^{346k+173}+199^{344k+172}-199^{342k+171}+199^{340k+170}-199^{338k+169}\\||+199^{336k+168}-199^{334k+167}+199^{332k+166}-199^{330k+165}+199^{328k+164}\\||-199^{326k+163}+199^{324k+162}-199^{322k+161}+199^{320k+160}-199^{318k+159}\\||+199^{316k+158}-199^{314k+157}+199^{312k+156}-199^{310k+155}+199^{308k+154}\\||-199^{306k+153}+199^{304k+152}-199^{302k+151}+199^{300k+150}-199^{298k+149}\\||+199^{296k+148}-199^{294k+147}+199^{292k+146}-199^{290k+145}+199^{288k+144}\\||-199^{286k+143}+199^{284k+142}-199^{282k+141}+199^{280k+140}-199^{278k+139}\\||+199^{276k+138}-199^{274k+137}+199^{272k+136}-199^{270k+135}+199^{268k+134}\\||-199^{266k+133}+199^{264k+132}-199^{262k+131}+199^{260k+130}-199^{258k+129}\\||+199^{256k+128}-199^{254k+127}+199^{252k+126}-199^{250k+125}+199^{248k+124}\\||-199^{246k+123}+199^{244k+122}-199^{242k+121}+199^{240k+120}-199^{238k+119}\\||+199^{236k+118}-199^{234k+117}+199^{232k+116}-199^{230k+115}+199^{228k+114}\\||-199^{226k+113}+199^{224k+112}-199^{222k+111}+199^{220k+110}-199^{218k+109}\\||+199^{216k+108}-199^{214k+107}+199^{212k+106}-199^{210k+105}+199^{208k+104}\\||-199^{206k+103}+199^{204k+102}-199^{202k+101}+199^{200k+100}-199^{198k+99}\\||+199^{196k+98}-199^{194k+97}+199^{192k+96}-199^{190k+95}+199^{188k+94}\\||-199^{186k+93}+199^{184k+92}-199^{182k+91}+199^{180k+90}-199^{178k+89}\\||+199^{176k+88}-199^{174k+87}+199^{172k+86}-199^{170k+85}+199^{168k+84}\\||-199^{166k+83}+199^{164k+82}-199^{162k+81}+199^{160k+80}-199^{158k+79}\\||+199^{156k+78}-199^{154k+77}+199^{152k+76}-199^{150k+75}+199^{148k+74}\\||-199^{146k+73}+199^{144k+72}-199^{142k+71}+199^{140k+70}-199^{138k+69}\\||+199^{136k+68}-199^{134k+67}+199^{132k+66}-199^{130k+65}+199^{128k+64}\\||-199^{126k+63}+199^{124k+62}-199^{122k+61}+199^{120k+60}-199^{118k+59}\\||+199^{116k+58}-199^{114k+57}+199^{112k+56}-199^{110k+55}+199^{108k+54}\\||-199^{106k+53}+199^{104k+52}-199^{102k+51}+199^{100k+50}-199^{98k+49}\\||+199^{96k+48}-199^{94k+47}+199^{92k+46}-199^{90k+45}+199^{88k+44}\\||-199^{86k+43}+199^{84k+42}-199^{82k+41}+199^{80k+40}-199^{78k+39}\\||+199^{76k+38}-199^{74k+37}+199^{72k+36}-199^{70k+35}+199^{68k+34}\\||-199^{66k+33}+199^{64k+32}-199^{62k+31}+199^{60k+30}-199^{58k+29}\\||+199^{56k+28}-199^{54k+27}+199^{52k+26}-199^{50k+25}+199^{48k+24}\\||-199^{46k+23}+199^{44k+22}-199^{42k+21}+199^{40k+20}-199^{38k+19}\\||+199^{36k+18}-199^{34k+17}+199^{32k+16}-199^{30k+15}+199^{28k+14}\\||-199^{26k+13}+199^{24k+12}-199^{22k+11}+199^{20k+10}-199^{18k+9}\\||+199^{16k+8}-199^{14k+7}+199^{12k+6}-199^{10k+5}+199^{8k+4}\\||-199^{6k+3}+199^{4k+2}-199^{2k+1}+1\\|=|(199^{198k+99}-199^{197k+99}+99\cdot 199^{196k+98}-33\cdot 199^{195k+98}+1667\cdot 199^{194k+97}\\||-347\cdot 199^{193k+97}+12375\cdot 199^{192k+96}-1975\cdot 199^{191k+96}+57205\cdot 199^{190k+95}-7721\cdot 199^{189k+95}\\||+194579\cdot 199^{188k+94}-23321\cdot 199^{187k+94}+529993\cdot 199^{186k+93}-57993\cdot 199^{185k+93}+1215639\cdot 199^{184k+92}\\||-123761\cdot 199^{183k+92}+2431779\cdot 199^{182k+91}-233597\cdot 199^{181k+91}+4356719\cdot 199^{180k+90}-399437\cdot 199^{179k+90}\\||+7146795\cdot 199^{178k+89}-631589\cdot 199^{177k+89}+10940537\cdot 199^{176k+88}-939833\cdot 199^{175k+88}+15882429\cdot 199^{174k+87}\\||-1335253\cdot 199^{173k+87}+22141819\cdot 199^{172k+86}-1830469\cdot 199^{171k+86}+29896087\cdot 199^{170k+85}-2437075\cdot 199^{169k+85}\\||+39279355\cdot 199^{168k+84}-3161375\cdot 199^{167k+84}+50322949\cdot 199^{166k+83}-4001117\cdot 199^{165k+83}+62935069\cdot 199^{164k+82}\\||-4946297\cdot 199^{163k+82}+76941443\cdot 199^{162k+81}-5983585\cdot 199^{161k+81}+92159977\cdot 199^{160k+80}-7101611\cdot 199^{159k+80}\\||+108459149\cdot 199^{158k+79}-8292843\cdot 199^{157k+79}+125745059\cdot 199^{156k+78}-9550167\cdot 199^{155k+78}+143889447\cdot 199^{154k+77}\\||-10861035\cdot 199^{153k+77}+162650973\cdot 199^{152k+76}-12203425\cdot 199^{151k+76}+181657909\cdot 199^{150k+75}-13548033\cdot 199^{149k+75}\\||+200480847\cdot 199^{148k+74}-14865219\cdot 199^{147k+74}+218738341\cdot 199^{146k+73}-16131885\cdot 199^{145k+73}+236167097\cdot 199^{144k+72}\\||-17333227\cdot 199^{143k+72}+252592149\cdot 199^{142k+71}-18457357\cdot 199^{141k+71}+267826531\cdot 199^{140k+70}-19488061\cdot 199^{139k+70}\\||+281585249\cdot 199^{138k+69}-20401057\cdot 199^{137k+69}+293483623\cdot 199^{136k+68}-21168191\cdot 199^{135k+68}+303148249\cdot 199^{134k+67}\\||-21767161\cdot 199^{133k+67}+310352611\cdot 199^{132k+66}-22189597\cdot 199^{131k+66}+315093865\cdot 199^{130k+65}-22442703\cdot 199^{129k+65}\\||+317551445\cdot 199^{128k+64}-22542271\cdot 199^{127k+64}+317958341\cdot 199^{126k+63}-22503655\cdot 199^{125k+63}+316496927\cdot 199^{124k+62}\\||-22336957\cdot 199^{123k+62}+313280373\cdot 199^{122k+61}-22049959\cdot 199^{121k+61}+308448383\cdot 199^{120k+60}-21656831\cdot 199^{119k+60}\\||+302282057\cdot 199^{118k+59}-21183977\cdot 199^{117k+59}+295242765\cdot 199^{116k+58}-20669091\cdot 199^{115k+58}+287898015\cdot 199^{114k+57}\\||-20151881\cdot 199^{113k+57}+280760439\cdot 199^{112k+56}-19663229\cdot 199^{111k+56}+274171593\cdot 199^{110k+55}-19220373\cdot 199^{109k+55}\\||+268287415\cdot 199^{108k+54}-18830139\cdot 199^{107k+54}+263182337\cdot 199^{106k+53}-18498823\cdot 199^{105k+53}+258985113\cdot 199^{104k+52}\\||-18239283\cdot 199^{103k+52}+255930359\cdot 199^{102k+51}-18071005\cdot 199^{101k+51}+254305083\cdot 199^{100k+50}-18012449\cdot 199^{99k+50}\\||+254305083\cdot 199^{98k+49}-18071005\cdot 199^{97k+49}+255930359\cdot 199^{96k+48}-18239283\cdot 199^{95k+48}+258985113\cdot 199^{94k+47}\\||-18498823\cdot 199^{93k+47}+263182337\cdot 199^{92k+46}-18830139\cdot 199^{91k+46}+268287415\cdot 199^{90k+45}-19220373\cdot 199^{89k+45}\\||+274171593\cdot 199^{88k+44}-19663229\cdot 199^{87k+44}+280760439\cdot 199^{86k+43}-20151881\cdot 199^{85k+43}+287898015\cdot 199^{84k+42}\\||-20669091\cdot 199^{83k+42}+295242765\cdot 199^{82k+41}-21183977\cdot 199^{81k+41}+302282057\cdot 199^{80k+40}-21656831\cdot 199^{79k+40}\\||+308448383\cdot 199^{78k+39}-22049959\cdot 199^{77k+39}+313280373\cdot 199^{76k+38}-22336957\cdot 199^{75k+38}+316496927\cdot 199^{74k+37}\\||-22503655\cdot 199^{73k+37}+317958341\cdot 199^{72k+36}-22542271\cdot 199^{71k+36}+317551445\cdot 199^{70k+35}-22442703\cdot 199^{69k+35}\\||+315093865\cdot 199^{68k+34}-22189597\cdot 199^{67k+34}+310352611\cdot 199^{66k+33}-21767161\cdot 199^{65k+33}+303148249\cdot 199^{64k+32}\\||-21168191\cdot 199^{63k+32}+293483623\cdot 199^{62k+31}-20401057\cdot 199^{61k+31}+281585249\cdot 199^{60k+30}-19488061\cdot 199^{59k+30}\\||+267826531\cdot 199^{58k+29}-18457357\cdot 199^{57k+29}+252592149\cdot 199^{56k+28}-17333227\cdot 199^{55k+28}+236167097\cdot 199^{54k+27}\\||-16131885\cdot 199^{53k+27}+218738341\cdot 199^{52k+26}-14865219\cdot 199^{51k+26}+200480847\cdot 199^{50k+25}-13548033\cdot 199^{49k+25}\\||+181657909\cdot 199^{48k+24}-12203425\cdot 199^{47k+24}+162650973\cdot 199^{46k+23}-10861035\cdot 199^{45k+23}+143889447\cdot 199^{44k+22}\\||-9550167\cdot 199^{43k+22}+125745059\cdot 199^{42k+21}-8292843\cdot 199^{41k+21}+108459149\cdot 199^{40k+20}-7101611\cdot 199^{39k+20}\\||+92159977\cdot 199^{38k+19}-5983585\cdot 199^{37k+19}+76941443\cdot 199^{36k+18}-4946297\cdot 199^{35k+18}+62935069\cdot 199^{34k+17}\\||-4001117\cdot 199^{33k+17}+50322949\cdot 199^{32k+16}-3161375\cdot 199^{31k+16}+39279355\cdot 199^{30k+15}-2437075\cdot 199^{29k+15}\\||+29896087\cdot 199^{28k+14}-1830469\cdot 199^{27k+14}+22141819\cdot 199^{26k+13}-1335253\cdot 199^{25k+13}+15882429\cdot 199^{24k+12}\\||-939833\cdot 199^{23k+12}+10940537\cdot 199^{22k+11}-631589\cdot 199^{21k+11}+7146795\cdot 199^{20k+10}-399437\cdot 199^{19k+10}\\||+4356719\cdot 199^{18k+9}-233597\cdot 199^{17k+9}+2431779\cdot 199^{16k+8}-123761\cdot 199^{15k+8}+1215639\cdot 199^{14k+7}\\||-57993\cdot 199^{13k+7}+529993\cdot 199^{12k+6}-23321\cdot 199^{11k+6}+194579\cdot 199^{10k+5}-7721\cdot 199^{9k+5}\\||+57205\cdot 199^{8k+4}-1975\cdot 199^{7k+4}+12375\cdot 199^{6k+3}-347\cdot 199^{5k+3}+1667\cdot 199^{4k+2}\\||-33\cdot 199^{3k+2}+99\cdot 199^{2k+1}-199^{k+1}+1)\\|\times|(199^{198k+99}+199^{197k+99}+99\cdot 199^{196k+98}+33\cdot 199^{195k+98}+1667\cdot 199^{194k+97}\\||+347\cdot 199^{193k+97}+12375\cdot 199^{192k+96}+1975\cdot 199^{191k+96}+57205\cdot 199^{190k+95}+7721\cdot 199^{189k+95}\\||+194579\cdot 199^{188k+94}+23321\cdot 199^{187k+94}+529993\cdot 199^{186k+93}+57993\cdot 199^{185k+93}+1215639\cdot 199^{184k+92}\\||+123761\cdot 199^{183k+92}+2431779\cdot 199^{182k+91}+233597\cdot 199^{181k+91}+4356719\cdot 199^{180k+90}+399437\cdot 199^{179k+90}\\||+7146795\cdot 199^{178k+89}+631589\cdot 199^{177k+89}+10940537\cdot 199^{176k+88}+939833\cdot 199^{175k+88}+15882429\cdot 199^{174k+87}\\||+1335253\cdot 199^{173k+87}+22141819\cdot 199^{172k+86}+1830469\cdot 199^{171k+86}+29896087\cdot 199^{170k+85}+2437075\cdot 199^{169k+85}\\||+39279355\cdot 199^{168k+84}+3161375\cdot 199^{167k+84}+50322949\cdot 199^{166k+83}+4001117\cdot 199^{165k+83}+62935069\cdot 199^{164k+82}\\||+4946297\cdot 199^{163k+82}+76941443\cdot 199^{162k+81}+5983585\cdot 199^{161k+81}+92159977\cdot 199^{160k+80}+7101611\cdot 199^{159k+80}\\||+108459149\cdot 199^{158k+79}+8292843\cdot 199^{157k+79}+125745059\cdot 199^{156k+78}+9550167\cdot 199^{155k+78}+143889447\cdot 199^{154k+77}\\||+10861035\cdot 199^{153k+77}+162650973\cdot 199^{152k+76}+12203425\cdot 199^{151k+76}+181657909\cdot 199^{150k+75}+13548033\cdot 199^{149k+75}\\||+200480847\cdot 199^{148k+74}+14865219\cdot 199^{147k+74}+218738341\cdot 199^{146k+73}+16131885\cdot 199^{145k+73}+236167097\cdot 199^{144k+72}\\||+17333227\cdot 199^{143k+72}+252592149\cdot 199^{142k+71}+18457357\cdot 199^{141k+71}+267826531\cdot 199^{140k+70}+19488061\cdot 199^{139k+70}\\||+281585249\cdot 199^{138k+69}+20401057\cdot 199^{137k+69}+293483623\cdot 199^{136k+68}+21168191\cdot 199^{135k+68}+303148249\cdot 199^{134k+67}\\||+21767161\cdot 199^{133k+67}+310352611\cdot 199^{132k+66}+22189597\cdot 199^{131k+66}+315093865\cdot 199^{130k+65}+22442703\cdot 199^{129k+65}\\||+317551445\cdot 199^{128k+64}+22542271\cdot 199^{127k+64}+317958341\cdot 199^{126k+63}+22503655\cdot 199^{125k+63}+316496927\cdot 199^{124k+62}\\||+22336957\cdot 199^{123k+62}+313280373\cdot 199^{122k+61}+22049959\cdot 199^{121k+61}+308448383\cdot 199^{120k+60}+21656831\cdot 199^{119k+60}\\||+302282057\cdot 199^{118k+59}+21183977\cdot 199^{117k+59}+295242765\cdot 199^{116k+58}+20669091\cdot 199^{115k+58}+287898015\cdot 199^{114k+57}\\||+20151881\cdot 199^{113k+57}+280760439\cdot 199^{112k+56}+19663229\cdot 199^{111k+56}+274171593\cdot 199^{110k+55}+19220373\cdot 199^{109k+55}\\||+268287415\cdot 199^{108k+54}+18830139\cdot 199^{107k+54}+263182337\cdot 199^{106k+53}+18498823\cdot 199^{105k+53}+258985113\cdot 199^{104k+52}\\||+18239283\cdot 199^{103k+52}+255930359\cdot 199^{102k+51}+18071005\cdot 199^{101k+51}+254305083\cdot 199^{100k+50}+18012449\cdot 199^{99k+50}\\||+254305083\cdot 199^{98k+49}+18071005\cdot 199^{97k+49}+255930359\cdot 199^{96k+48}+18239283\cdot 199^{95k+48}+258985113\cdot 199^{94k+47}\\||+18498823\cdot 199^{93k+47}+263182337\cdot 199^{92k+46}+18830139\cdot 199^{91k+46}+268287415\cdot 199^{90k+45}+19220373\cdot 199^{89k+45}\\||+274171593\cdot 199^{88k+44}+19663229\cdot 199^{87k+44}+280760439\cdot 199^{86k+43}+20151881\cdot 199^{85k+43}+287898015\cdot 199^{84k+42}\\||+20669091\cdot 199^{83k+42}+295242765\cdot 199^{82k+41}+21183977\cdot 199^{81k+41}+302282057\cdot 199^{80k+40}+21656831\cdot 199^{79k+40}\\||+308448383\cdot 199^{78k+39}+22049959\cdot 199^{77k+39}+313280373\cdot 199^{76k+38}+22336957\cdot 199^{75k+38}+316496927\cdot 199^{74k+37}\\||+22503655\cdot 199^{73k+37}+317958341\cdot 199^{72k+36}+22542271\cdot 199^{71k+36}+317551445\cdot 199^{70k+35}+22442703\cdot 199^{69k+35}\\||+315093865\cdot 199^{68k+34}+22189597\cdot 199^{67k+34}+310352611\cdot 199^{66k+33}+21767161\cdot 199^{65k+33}+303148249\cdot 199^{64k+32}\\||+21168191\cdot 199^{63k+32}+293483623\cdot 199^{62k+31}+20401057\cdot 199^{61k+31}+281585249\cdot 199^{60k+30}+19488061\cdot 199^{59k+30}\\||+267826531\cdot 199^{58k+29}+18457357\cdot 199^{57k+29}+252592149\cdot 199^{56k+28}+17333227\cdot 199^{55k+28}+236167097\cdot 199^{54k+27}\\||+16131885\cdot 199^{53k+27}+218738341\cdot 199^{52k+26}+14865219\cdot 199^{51k+26}+200480847\cdot 199^{50k+25}+13548033\cdot 199^{49k+25}\\||+181657909\cdot 199^{48k+24}+12203425\cdot 199^{47k+24}+162650973\cdot 199^{46k+23}+10861035\cdot 199^{45k+23}+143889447\cdot 199^{44k+22}\\||+9550167\cdot 199^{43k+22}+125745059\cdot 199^{42k+21}+8292843\cdot 199^{41k+21}+108459149\cdot 199^{40k+20}+7101611\cdot 199^{39k+20}\\||+92159977\cdot 199^{38k+19}+5983585\cdot 199^{37k+19}+76941443\cdot 199^{36k+18}+4946297\cdot 199^{35k+18}+62935069\cdot 199^{34k+17}\\||+4001117\cdot 199^{33k+17}+50322949\cdot 199^{32k+16}+3161375\cdot 199^{31k+16}+39279355\cdot 199^{30k+15}+2437075\cdot 199^{29k+15}\\||+29896087\cdot 199^{28k+14}+1830469\cdot 199^{27k+14}+22141819\cdot 199^{26k+13}+1335253\cdot 199^{25k+13}+15882429\cdot 199^{24k+12}\\||+939833\cdot 199^{23k+12}+10940537\cdot 199^{22k+11}+631589\cdot 199^{21k+11}+7146795\cdot 199^{20k+10}+399437\cdot 199^{19k+10}\\||+4356719\cdot 199^{18k+9}+233597\cdot 199^{17k+9}+2431779\cdot 199^{16k+8}+123761\cdot 199^{15k+8}+1215639\cdot 199^{14k+7}\\||+57993\cdot 199^{13k+7}+529993\cdot 199^{12k+6}+23321\cdot 199^{11k+6}+194579\cdot 199^{10k+5}+7721\cdot 199^{9k+5}\\||+57205\cdot 199^{8k+4}+1975\cdot 199^{7k+4}+12375\cdot 199^{6k+3}+347\cdot 199^{5k+3}+1667\cdot 199^{4k+2}\\||+33\cdot 199^{3k+2}+99\cdot 199^{2k+1}+199^{k+1}+1)\end{eqnarray}%%

6.2. LM twister LM ツイスター

Φn(x)=ΦnL(x)ΦnM(x)=Φn,−1(x)Φn,+1(x)
Φn,∓1(xs)=∏d∣rΦns/d,∓lmtwister(d,x)(x)(r is the greatest divisor of s that satisfies gcd(n,r)=1)
lmtwister.gp
lmtwister (d, x) = {
  my (k, a, v, p, m, b, u);
  if (d < 1 || d % 2 == 0 || x < 1,
      error ("illegal argument: lmtwister (", d, ", ", x, ")"));
  k = (d - 1) / 2;
  x = core (x);  \\squarefree part
  if (x == 1,
      if (k % 3 == 1,
          return (0));  \\not used in LM twister
      return (1));
  a = 1;
  v = factorint (x)[, 1];
  for (i = 1, #v,
       p = v[i];  \\prime factor of squarefree x
       if (p == 2,
           m = k % 4;
           if (m == 1 || m == 2,
               a = -a),
           b = k + (p + 1) / 2;
           if (gcd (b, p) > 1,
               return (0));  \\not used in LM twister
           u = (p - 1) / 2;
           m = p % 8;
           if ((m == 1 && Mod (b, p) ^ u != 1) ||
               (m == 3 && lift (Mod (b, 2 * p) ^ u) > p) ||
               (m == 5 && Mod (b, p) ^ u == 1) ||
               (m == 7 && lift (Mod (b, 2 * p) ^ u) < p),  \\use a faster method than this
               a = -a)));
  a
}

test_lmtwister () = {
  for (x = 1, 200,
       for (k = 0, 399,
            print1 (["-", ".", "+"][lmtwister (2 * k + 1, x) + 2]));
       print ())
}

1;
Colored LM twister 色付き LM ツイスター
Colored LM twister

6.3. Aurifeuillean factorization of repunit レピュニットのオーラフィーユ因数分解

Φ20(x)=x8−x6+x4−x2+1=(x4+5x3+7x2+5x+1)2−10x(x3+2x2+2x+1)2
Φ20(102k+1)=1016k+8−1012k+6+108k+4−104k+2+1=(108k+4+5⋅106k+3+7⋅104k+2+5⋅102k+1+1)2−10⋅102k+1(106k+3+2⋅104k+2+2⋅102k+1+1)2=(108k+4+5⋅106k+3+7⋅104k+2+5⋅102k+1+1)2−(10k+1)2(106k+3+2⋅104k+2+2⋅102k+1+1)2=(108k+4+5⋅106k+3+7⋅104k+2+5⋅102k+1+1)2−(107k+4+2⋅105k+3+2⋅103k+2+10k+1)2=(108k+4−107k+4+5⋅106k+3−2⋅105k+3+7⋅104k+2−2⋅103k+2+5⋅102k+1−10k+1+1)×(108k+4+107k+4+5⋅106k+3+2⋅105k+3+7⋅104k+2+2⋅103k+2+5⋅102k+1+10k+1+1)=Φ20L(102k+1)Φ20M(102k+1)Φ20L(102k+1)=108k+4−107k+4+5⋅106k+3−2⋅105k+3+7⋅104k+2−2⋅103k+2+5⋅102k+1−10k+1+1=(102k+1+1)((104k+2+102k+1)(102k+1−10k+1+3)−10k+1+2)−1Φ20M(102k+1)=108k+4+107k+4+5⋅106k+3+2⋅105k+3+7⋅104k+2+2⋅103k+2+5⋅102k+1+10k+1+1=(102k+1+1)((104k+2+102k+1)(102k+1+10k+1+3)+10k+1+2)−1
Φ20,∓1(102k+1)=∏d∣rΦ(40k+20)/d,∓lmtwister(d,10)(10)(r is the greatest divisor of 2k+1 that satisfies gcd(20,r)=1)Φ40k+20,∓1(10)=Φ20,∓1(102k+1)∏d∣r;1<dΦ(40k+20)/d,∓lmtwister(d,10)(10)
Φ(40k+20)L(10)=gcd(Φ40k+20(10),Φ20L(102k+1))Φ(40k+20)M(10)=gcd(Φ40k+20(10),Φ20M(102k+1))

6.4. Links related to Aurifeuillean factorization オーラフィーユ因数分解の関連リンク

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