Properties

Label 1344.4
Level 1344
Weight 4
Dimension 59396
Nonzero newspaces 32
Sturm bound 393216
Trace bound 25

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Defining parameters

Level: \( N \) = \( 1344 = 2^{6} \cdot 3 \cdot 7 \)
Weight: \( k \) = \( 4 \)
Nonzero newspaces: \( 32 \)
Sturm bound: \(393216\)
Trace bound: \(25\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(\Gamma_1(1344))\).

Total New Old
Modular forms 149184 59836 89348
Cusp forms 145728 59396 86332
Eisenstein series 3456 440 3016

Trace form

\( 59396q - 24q^{3} - 64q^{4} - 32q^{6} - 64q^{7} - 40q^{9} + O(q^{10}) \) \( 59396q - 24q^{3} - 64q^{4} - 32q^{6} - 64q^{7} - 40q^{9} - 64q^{10} - 80q^{11} - 32q^{12} + 224q^{13} + 184q^{15} - 64q^{16} + 416q^{17} - 32q^{18} + 48q^{19} - 52q^{21} + 1728q^{22} + 1968q^{24} + 124q^{25} - 160q^{26} - 288q^{27} - 1600q^{28} - 1600q^{29} - 4672q^{30} - 1496q^{31} - 4960q^{32} - 1772q^{33} - 4064q^{34} - 456q^{35} - 1840q^{36} - 128q^{37} + 1760q^{38} + 1172q^{39} + 6496q^{40} + 3776q^{41} + 3120q^{42} + 1496q^{43} + 4000q^{44} - 1000q^{45} - 64q^{46} - 32q^{48} - 140q^{49} - 11424q^{50} + 6124q^{51} - 13312q^{52} - 896q^{54} + 2848q^{55} + 784q^{56} + 496q^{57} + 9440q^{58} - 13760q^{59} + 9760q^{60} - 64q^{61} + 11712q^{62} - 2556q^{63} + 24032q^{64} - 8096q^{65} + 11040q^{66} - 24144q^{67} + 8256q^{68} - 1736q^{69} + 3952q^{70} - 1792q^{71} - 32q^{72} + 4016q^{73} - 10528q^{74} + 13928q^{75} - 23872q^{76} + 3504q^{77} - 24320q^{78} + 34600q^{79} - 20064q^{80} - 2488q^{81} - 64q^{82} + 5360q^{83} - 4184q^{84} + 4544q^{85} + 2548q^{87} - 64q^{88} - 704q^{89} + 18688q^{90} + 5104q^{91} + 11392q^{93} - 64q^{94} + 7728q^{95} + 25808q^{96} + 5360q^{97} + 3776q^{99} + O(q^{100}) \)

Decomposition of \(S_{4}^{\mathrm{new}}(\Gamma_1(1344))\)

We only show spaces with even parity, since no modular forms exist when this condition is not satisfied. Within each space \( S_k^{\mathrm{new}}(N, \chi) \) we list the newforms together with their dimension.

Label \(\chi\) Newforms Dimension \(\chi\) degree
1344.4.a \(\chi_{1344}(1, \cdot)\) 1344.4.a.a 1 1
1344.4.a.b 1
1344.4.a.c 1
1344.4.a.d 1
1344.4.a.e 1
1344.4.a.f 1
1344.4.a.g 1
1344.4.a.h 1
1344.4.a.i 1
1344.4.a.j 1
1344.4.a.k 1
1344.4.a.l 1
1344.4.a.m 1
1344.4.a.n 1
1344.4.a.o 1
1344.4.a.p 1
1344.4.a.q 1
1344.4.a.r 1
1344.4.a.s 1
1344.4.a.t 1
1344.4.a.u 1
1344.4.a.v 1
1344.4.a.w 1
1344.4.a.x 1
1344.4.a.y 1
1344.4.a.z 1
1344.4.a.ba 1
1344.4.a.bb 1
1344.4.a.bc 2
1344.4.a.bd 2
1344.4.a.be 2
1344.4.a.bf 2
1344.4.a.bg 2
1344.4.a.bh 2
1344.4.a.bi 2
1344.4.a.bj 2
1344.4.a.bk 2
1344.4.a.bl 2
1344.4.a.bm 2
1344.4.a.bn 2
1344.4.a.bo 2
1344.4.a.bp 2
1344.4.a.bq 2
1344.4.a.br 2
1344.4.a.bs 3
1344.4.a.bt 3
1344.4.a.bu 3
1344.4.a.bv 3
1344.4.b \(\chi_{1344}(895, \cdot)\) 1344.4.b.a 2 1
1344.4.b.b 2
1344.4.b.c 2
1344.4.b.d 2
1344.4.b.e 8
1344.4.b.f 8
1344.4.b.g 12
1344.4.b.h 12
1344.4.b.i 24
1344.4.b.j 24
1344.4.c \(\chi_{1344}(673, \cdot)\) 1344.4.c.a 6 1
1344.4.c.b 6
1344.4.c.c 6
1344.4.c.d 6
1344.4.c.e 12
1344.4.c.f 12
1344.4.c.g 12
1344.4.c.h 12
1344.4.h \(\chi_{1344}(575, \cdot)\) n/a 144 1
1344.4.i \(\chi_{1344}(545, \cdot)\) n/a 192 1
1344.4.j \(\chi_{1344}(1247, \cdot)\) n/a 144 1
1344.4.k \(\chi_{1344}(1217, \cdot)\) n/a 188 1
1344.4.p \(\chi_{1344}(223, \cdot)\) 1344.4.p.a 16 1
1344.4.p.b 16
1344.4.p.c 32
1344.4.p.d 32
1344.4.q \(\chi_{1344}(193, \cdot)\) n/a 192 2
1344.4.s \(\chi_{1344}(239, \cdot)\) n/a 288 2
1344.4.u \(\chi_{1344}(559, \cdot)\) n/a 192 2
1344.4.w \(\chi_{1344}(337, \cdot)\) n/a 144 2
1344.4.y \(\chi_{1344}(209, \cdot)\) n/a 376 2
1344.4.bb \(\chi_{1344}(31, \cdot)\) n/a 192 2
1344.4.bc \(\chi_{1344}(257, \cdot)\) n/a 376 2
1344.4.bd \(\chi_{1344}(95, \cdot)\) n/a 384 2
1344.4.bi \(\chi_{1344}(353, \cdot)\) n/a 384 2
1344.4.bj \(\chi_{1344}(191, \cdot)\) n/a 376 2
1344.4.bk \(\chi_{1344}(289, \cdot)\) n/a 192 2
1344.4.bl \(\chi_{1344}(703, \cdot)\) n/a 192 2
1344.4.bo \(\chi_{1344}(41, \cdot)\) None 0 4
1344.4.bq \(\chi_{1344}(169, \cdot)\) None 0 4
1344.4.bs \(\chi_{1344}(71, \cdot)\) None 0 4
1344.4.bu \(\chi_{1344}(55, \cdot)\) None 0 4
1344.4.bw \(\chi_{1344}(17, \cdot)\) n/a 752 4
1344.4.by \(\chi_{1344}(529, \cdot)\) n/a 384 4
1344.4.ca \(\chi_{1344}(271, \cdot)\) n/a 384 4
1344.4.cc \(\chi_{1344}(431, \cdot)\) n/a 752 4
1344.4.cg \(\chi_{1344}(85, \cdot)\) n/a 2304 8
1344.4.ch \(\chi_{1344}(139, \cdot)\) n/a 3072 8
1344.4.ci \(\chi_{1344}(155, \cdot)\) n/a 4608 8
1344.4.cj \(\chi_{1344}(125, \cdot)\) n/a 6112 8
1344.4.cn \(\chi_{1344}(103, \cdot)\) None 0 8
1344.4.cp \(\chi_{1344}(23, \cdot)\) None 0 8
1344.4.cr \(\chi_{1344}(25, \cdot)\) None 0 8
1344.4.ct \(\chi_{1344}(89, \cdot)\) None 0 8
1344.4.cw \(\chi_{1344}(5, \cdot)\) n/a 12224 16
1344.4.cx \(\chi_{1344}(11, \cdot)\) n/a 12224 16
1344.4.cy \(\chi_{1344}(19, \cdot)\) n/a 6144 16
1344.4.cz \(\chi_{1344}(37, \cdot)\) n/a 6144 16

"n/a" means that newforms for that character have not been added to the database yet

Decomposition of \(S_{4}^{\mathrm{old}}(\Gamma_1(1344))\) into lower level spaces

\( S_{4}^{\mathrm{old}}(\Gamma_1(1344)) \cong \) \(S_{4}^{\mathrm{new}}(\Gamma_1(6))\)\(^{\oplus 12}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(7))\)\(^{\oplus 14}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(8))\)\(^{\oplus 16}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(12))\)\(^{\oplus 10}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(14))\)\(^{\oplus 12}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(16))\)\(^{\oplus 12}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(21))\)\(^{\oplus 7}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(24))\)\(^{\oplus 8}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(28))\)\(^{\oplus 10}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(32))\)\(^{\oplus 8}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(42))\)\(^{\oplus 6}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(48))\)\(^{\oplus 6}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(56))\)\(^{\oplus 8}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(64))\)\(^{\oplus 4}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(84))\)\(^{\oplus 5}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(96))\)\(^{\oplus 4}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(112))\)\(^{\oplus 6}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(168))\)\(^{\oplus 4}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(192))\)\(^{\oplus 2}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(224))\)\(^{\oplus 4}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(336))\)\(^{\oplus 3}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(448))\)\(^{\oplus 2}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(672))\)\(^{\oplus 2}\)

Hecke characteristic polynomials

$p$ $F_p(T)$
$2$ 1
$3$ (\( 1 + 3 T \))(\( 1 + 3 T \))(\( 1 + 3 T \))(\( 1 + 3 T \))(\( 1 + 3 T \))(\( 1 + 3 T \))(\( 1 + 3 T \))(\( 1 + 3 T \))(\( 1 + 3 T \))(\( 1 + 3 T \))(\( 1 + 3 T \))(\( 1 + 3 T \))(\( 1 + 3 T \))(\( 1 + 3 T \))(\( 1 - 3 T \))(\( 1 - 3 T \))(\( 1 - 3 T \))(\( 1 - 3 T \))(\( 1 - 3 T \))(\( 1 - 3 T \))(\( 1 - 3 T \))(\( 1 - 3 T \))(\( 1 - 3 T \))(\( 1 - 3 T \))(\( 1 - 3 T \))(\( 1 - 3 T \))(\( 1 - 3 T \))(\( 1 - 3 T \))(\( ( 1 + 3 T )^{2} \))(\( ( 1 + 3 T )^{2} \))(\( ( 1 + 3 T )^{2} \))(\( ( 1 + 3 T )^{2} \))(\( ( 1 + 3 T )^{2} \))(\( ( 1 + 3 T )^{2} \))(\( ( 1 + 3 T )^{2} \))(\( ( 1 + 3 T )^{2} \))(\( ( 1 - 3 T )^{2} \))(\( ( 1 - 3 T )^{2} \))(\( ( 1 - 3 T )^{2} \))(\( ( 1 - 3 T )^{2} \))(\( ( 1 - 3 T )^{2} \))(\( ( 1 - 3 T )^{2} \))(\( ( 1 - 3 T )^{2} \))(\( ( 1 - 3 T )^{2} \))(\( ( 1 + 3 T )^{3} \))(\( ( 1 + 3 T )^{3} \))(\( ( 1 - 3 T )^{3} \))(\( ( 1 - 3 T )^{3} \))(\( ( 1 + 3 T )^{2} \))(\( ( 1 + 3 T )^{2} \))(\( ( 1 - 3 T )^{2} \))(\( ( 1 - 3 T )^{2} \))(\( ( 1 + 3 T )^{8} \))(\( ( 1 - 3 T )^{8} \))(\( ( 1 + 3 T )^{12} \))(\( ( 1 - 3 T )^{12} \))(\( ( 1 + 9 T^{2} )^{3} \))(\( ( 1 + 9 T^{2} )^{3} \))(\( ( 1 + 9 T^{2} )^{3} \))(\( ( 1 + 9 T^{2} )^{3} \))(\( ( 1 + 9 T^{2} )^{6} \))(\( ( 1 + 9 T^{2} )^{6} \))(\( ( 1 + 9 T^{2} )^{6} \))(\( ( 1 + 9 T^{2} )^{6} \))(\( ( 1 + 9 T^{2} )^{8} \))(\( ( 1 + 9 T^{2} )^{8} \))
$5$ (\( 1 + 18 T + 125 T^{2} \))(\( 1 + 14 T + 125 T^{2} \))(\( 1 + 6 T + 125 T^{2} \))(\( 1 + 6 T + 125 T^{2} \))(\( 1 + 4 T + 125 T^{2} \))(\( 1 + 2 T + 125 T^{2} \))(\( 1 - 2 T + 125 T^{2} \))(\( 1 - 2 T + 125 T^{2} \))(\( 1 - 4 T + 125 T^{2} \))(\( 1 - 10 T + 125 T^{2} \))(\( 1 - 10 T + 125 T^{2} \))(\( 1 - 16 T + 125 T^{2} \))(\( 1 - 18 T + 125 T^{2} \))(\( 1 - 18 T + 125 T^{2} \))(\( 1 + 18 T + 125 T^{2} \))(\( 1 + 14 T + 125 T^{2} \))(\( 1 + 6 T + 125 T^{2} \))(\( 1 + 6 T + 125 T^{2} \))(\( 1 + 4 T + 125 T^{2} \))(\( 1 + 2 T + 125 T^{2} \))(\( 1 - 2 T + 125 T^{2} \))(\( 1 - 2 T + 125 T^{2} \))(\( 1 - 4 T + 125 T^{2} \))(\( 1 - 10 T + 125 T^{2} \))(\( 1 - 10 T + 125 T^{2} \))(\( 1 - 16 T + 125 T^{2} \))(\( 1 - 18 T + 125 T^{2} \))(\( 1 - 18 T + 125 T^{2} \))(\( 1 + 16 T + 142 T^{2} + 2000 T^{3} + 15625 T^{4} \))(\( 1 + 14 T + 122 T^{2} + 1750 T^{3} + 15625 T^{4} \))(\( 1 + 10 T + 138 T^{2} + 1250 T^{3} + 15625 T^{4} \))(\( 1 + 8 T + 222 T^{2} + 1000 T^{3} + 15625 T^{4} \))(\( 1 + 6 T + 202 T^{2} + 750 T^{3} + 15625 T^{4} \))(\( 1 - 4 T + 106 T^{2} - 500 T^{3} + 15625 T^{4} \))(\( 1 - 6 T - 78 T^{2} - 750 T^{3} + 15625 T^{4} \))(\( 1 - 10 T + 258 T^{2} - 1250 T^{3} + 15625 T^{4} \))(\( 1 + 16 T + 142 T^{2} + 2000 T^{3} + 15625 T^{4} \))(\( 1 + 14 T + 122 T^{2} + 1750 T^{3} + 15625 T^{4} \))(\( 1 + 10 T + 138 T^{2} + 1250 T^{3} + 15625 T^{4} \))(\( 1 + 8 T + 222 T^{2} + 1000 T^{3} + 15625 T^{4} \))(\( 1 + 6 T + 202 T^{2} + 750 T^{3} + 15625 T^{4} \))(\( 1 - 4 T + 106 T^{2} - 500 T^{3} + 15625 T^{4} \))(\( 1 - 6 T - 78 T^{2} - 750 T^{3} + 15625 T^{4} \))(\( 1 - 10 T + 258 T^{2} - 1250 T^{3} + 15625 T^{4} \))(\( 1 + 6 T + 159 T^{2} - 132 T^{3} + 19875 T^{4} + 93750 T^{5} + 1953125 T^{6} \))(\( 1 - 10 T + 75 T^{2} - 1100 T^{3} + 9375 T^{4} - 156250 T^{5} + 1953125 T^{6} \))(\( 1 + 6 T + 159 T^{2} - 132 T^{3} + 19875 T^{4} + 93750 T^{5} + 1953125 T^{6} \))(\( 1 - 10 T + 75 T^{2} - 1100 T^{3} + 9375 T^{4} - 156250 T^{5} + 1953125 T^{6} \))(\( 1 - 58 T^{2} + 15625 T^{4} \))(\( 1 - 244 T^{2} + 15625 T^{4} \))(\( 1 - 244 T^{2} + 15625 T^{4} \))(\( 1 - 58 T^{2} + 15625 T^{4} \))(\( 1 - 172 T^{2} + 12088 T^{4} - 1922884 T^{6} + 432877966 T^{8} - 30045062500 T^{10} + 2951171875000 T^{12} - 656127929687500 T^{14} + 59604644775390625 T^{16} \))(\( 1 - 172 T^{2} + 12088 T^{4} - 1922884 T^{6} + 432877966 T^{8} - 30045062500 T^{10} + 2951171875000 T^{12} - 656127929687500 T^{14} + 59604644775390625 T^{16} \))(\( 1 - 642 T^{2} + 208394 T^{4} - 46610130 T^{6} + 8351455471 T^{8} - 1283212969212 T^{10} + 171916133103148 T^{12} - 20050202643937500 T^{14} + 2038929558349609375 T^{16} - \)\(17\!\cdots\!50\)\( T^{18} + \)\(12\!\cdots\!50\)\( T^{20} - \)\(59\!\cdots\!50\)\( T^{22} + \)\(14\!\cdots\!25\)\( T^{24} \))(\( 1 - 642 T^{2} + 208394 T^{4} - 46610130 T^{6} + 8351455471 T^{8} - 1283212969212 T^{10} + 171916133103148 T^{12} - 20050202643937500 T^{14} + 2038929558349609375 T^{16} - \)\(17\!\cdots\!50\)\( T^{18} + \)\(12\!\cdots\!50\)\( T^{20} - \)\(59\!\cdots\!50\)\( T^{22} + \)\(14\!\cdots\!25\)\( T^{24} \))(\( 1 - 306 T^{2} + 69723 T^{4} - 9689364 T^{6} + 1089421875 T^{8} - 74707031250 T^{10} + 3814697265625 T^{12} \))(\( 1 - 498 T^{2} + 120027 T^{4} - 18269844 T^{6} + 1875421875 T^{8} - 121582031250 T^{10} + 3814697265625 T^{12} \))(\( 1 - 498 T^{2} + 120027 T^{4} - 18269844 T^{6} + 1875421875 T^{8} - 121582031250 T^{10} + 3814697265625 T^{12} \))(\( 1 - 306 T^{2} + 69723 T^{4} - 9689364 T^{6} + 1089421875 T^{8} - 74707031250 T^{10} + 3814697265625 T^{12} \))(\( 1 - 468 T^{2} + 115386 T^{4} - 20105892 T^{6} + 2836849551 T^{8} - 354460372200 T^{10} + 43225459622156 T^{12} - 5538443315625000 T^{14} + 692590222412109375 T^{16} - 76697891235351562500 T^{18} + \)\(68\!\cdots\!50\)\( T^{20} - \)\(43\!\cdots\!00\)\( T^{22} + \)\(14\!\cdots\!25\)\( T^{24} \))(\( 1 - 660 T^{2} + 224442 T^{4} - 55106916 T^{6} + 10861721487 T^{8} - 1760999186280 T^{10} + 239149871224076 T^{12} - 27515612285625000 T^{14} + 2651787472412109375 T^{16} - \)\(21\!\cdots\!00\)\( T^{18} + \)\(13\!\cdots\!50\)\( T^{20} - \)\(61\!\cdots\!00\)\( T^{22} + \)\(14\!\cdots\!25\)\( T^{24} \))(\( 1 - 660 T^{2} + 224442 T^{4} - 55106916 T^{6} + 10861721487 T^{8} - 1760999186280 T^{10} + 239149871224076 T^{12} - 27515612285625000 T^{14} + 2651787472412109375 T^{16} - \)\(21\!\cdots\!00\)\( T^{18} + \)\(13\!\cdots\!50\)\( T^{20} - \)\(61\!\cdots\!00\)\( T^{22} + \)\(14\!\cdots\!25\)\( T^{24} \))(\( 1 - 468 T^{2} + 115386 T^{4} - 20105892 T^{6} + 2836849551 T^{8} - 354460372200 T^{10} + 43225459622156 T^{12} - 5538443315625000 T^{14} + 692590222412109375 T^{16} - 76697891235351562500 T^{18} + \)\(68\!\cdots\!50\)\( T^{20} - \)\(43\!\cdots\!00\)\( T^{22} + \)\(14\!\cdots\!25\)\( T^{24} \))(\( ( 1 + 240 T^{2} + 804 T^{3} + 36814 T^{4} + 100500 T^{5} + 3750000 T^{6} + 244140625 T^{8} )^{4} \))(\( ( 1 + 240 T^{2} - 804 T^{3} + 36814 T^{4} - 100500 T^{5} + 3750000 T^{6} + 244140625 T^{8} )^{4} \))
$7$ (\( 1 + 7 T \))(\( 1 + 7 T \))(\( 1 + 7 T \))(\( 1 + 7 T \))(\( 1 - 7 T \))(\( 1 + 7 T \))(\( 1 + 7 T \))(\( 1 + 7 T \))(\( 1 - 7 T \))(\( 1 + 7 T \))(\( 1 + 7 T \))(\( 1 - 7 T \))(\( 1 + 7 T \))(\( 1 + 7 T \))(\( 1 - 7 T \))(\( 1 - 7 T \))(\( 1 - 7 T \))(\( 1 - 7 T \))(\( 1 + 7 T \))(\( 1 - 7 T \))(\( 1 - 7 T \))(\( 1 - 7 T \))(\( 1 + 7 T \))(\( 1 - 7 T \))(\( 1 - 7 T \))(\( 1 + 7 T \))(\( 1 - 7 T \))(\( 1 - 7 T \))(\( ( 1 + 7 T )^{2} \))(\( ( 1 - 7 T )^{2} \))(\( ( 1 - 7 T )^{2} \))(\( ( 1 + 7 T )^{2} \))(\( ( 1 - 7 T )^{2} \))(\( ( 1 - 7 T )^{2} \))(\( ( 1 - 7 T )^{2} \))(\( ( 1 - 7 T )^{2} \))(\( ( 1 - 7 T )^{2} \))(\( ( 1 + 7 T )^{2} \))(\( ( 1 + 7 T )^{2} \))(\( ( 1 - 7 T )^{2} \))(\( ( 1 + 7 T )^{2} \))(\( ( 1 + 7 T )^{2} \))(\( ( 1 + 7 T )^{2} \))(\( ( 1 + 7 T )^{2} \))(\( ( 1 - 7 T )^{3} \))(\( ( 1 + 7 T )^{3} \))(\( ( 1 + 7 T )^{3} \))(\( ( 1 - 7 T )^{3} \))(\( 1 + 28 T + 343 T^{2} \))(\( 1 - 34 T + 343 T^{2} \))(\( 1 + 34 T + 343 T^{2} \))(\( 1 - 28 T + 343 T^{2} \))(\( 1 - 4 T + 16 T^{2} + 3052 T^{3} - 171010 T^{4} + 1046836 T^{5} + 1882384 T^{6} - 161414428 T^{7} + 13841287201 T^{8} \))(\( 1 + 4 T + 16 T^{2} - 3052 T^{3} - 171010 T^{4} - 1046836 T^{5} + 1882384 T^{6} + 161414428 T^{7} + 13841287201 T^{8} \))(\( 1 + 10 T + 262 T^{2} - 842 T^{3} + 85967 T^{4} + 1342012 T^{5} + 96999028 T^{6} + 460310116 T^{7} + 10113931583 T^{8} - 33977737094 T^{9} + 3626417246662 T^{10} + 47475615099430 T^{11} + 1628413597910449 T^{12} \))(\( 1 - 10 T + 262 T^{2} + 842 T^{3} + 85967 T^{4} - 1342012 T^{5} + 96999028 T^{6} - 460310116 T^{7} + 10113931583 T^{8} + 33977737094 T^{9} + 3626417246662 T^{10} - 47475615099430 T^{11} + 1628413597910449 T^{12} \))(\( ( 1 + 7 T )^{6} \))(\( ( 1 + 7 T )^{6} \))(\( ( 1 - 7 T )^{6} \))(\( ( 1 - 7 T )^{6} \))(\( ( 1 + 7 T )^{12} \))(\( ( 1 + 7 T )^{12} \))(\( ( 1 - 7 T )^{12} \))(\( ( 1 - 7 T )^{12} \))(\( 1 - 196 T^{2} + 49492 T^{4} - 31889788 T^{6} + 23447488918 T^{8} - 3751801668412 T^{10} + 685032986151892 T^{12} - 319169065190448004 T^{14} + \)\(19\!\cdots\!01\)\( T^{16} \))(\( 1 - 196 T^{2} + 49492 T^{4} - 31889788 T^{6} + 23447488918 T^{8} - 3751801668412 T^{10} + 685032986151892 T^{12} - 319169065190448004 T^{14} + \)\(19\!\cdots\!01\)\( T^{16} \))
$11$ (\( 1 + 72 T + 1331 T^{2} \))(\( 1 + 4 T + 1331 T^{2} \))(\( 1 + 4 T + 1331 T^{2} \))(\( 1 - 36 T + 1331 T^{2} \))(\( 1 + 26 T + 1331 T^{2} \))(\( 1 - 8 T + 1331 T^{2} \))(\( 1 + 52 T + 1331 T^{2} \))(\( 1 - 12 T + 1331 T^{2} \))(\( 1 - 62 T + 1331 T^{2} \))(\( 1 + 12 T + 1331 T^{2} \))(\( 1 - 52 T + 1331 T^{2} \))(\( 1 - 18 T + 1331 T^{2} \))(\( 1 + 44 T + 1331 T^{2} \))(\( 1 + 36 T + 1331 T^{2} \))(\( 1 - 72 T + 1331 T^{2} \))(\( 1 - 4 T + 1331 T^{2} \))(\( 1 + 36 T + 1331 T^{2} \))(\( 1 - 4 T + 1331 T^{2} \))(\( 1 - 26 T + 1331 T^{2} \))(\( 1 + 8 T + 1331 T^{2} \))(\( 1 + 12 T + 1331 T^{2} \))(\( 1 - 52 T + 1331 T^{2} \))(\( 1 + 62 T + 1331 T^{2} \))(\( 1 + 52 T + 1331 T^{2} \))(\( 1 - 12 T + 1331 T^{2} \))(\( 1 + 18 T + 1331 T^{2} \))(\( 1 - 36 T + 1331 T^{2} \))(\( 1 - 44 T + 1331 T^{2} \))(\( 1 - 4 T + 2494 T^{2} - 5324 T^{3} + 1771561 T^{4} \))(\( 1 + 18 T + 1150 T^{2} + 23958 T^{3} + 1771561 T^{4} \))(\( 1 + 22 T + 2646 T^{2} + 29282 T^{3} + 1771561 T^{4} \))(\( 1 - 44 T + 990 T^{2} - 58564 T^{3} + 1771561 T^{4} \))(\( 1 - 6 T + 1246 T^{2} - 7986 T^{3} + 1771561 T^{4} \))(\( 1 - 48 T + 3090 T^{2} - 63888 T^{3} + 1771561 T^{4} \))(\( 1 - 26 T + 2494 T^{2} - 34606 T^{3} + 1771561 T^{4} \))(\( 1 - 22 T + 726 T^{2} - 29282 T^{3} + 1771561 T^{4} \))(\( 1 + 4 T + 2494 T^{2} + 5324 T^{3} + 1771561 T^{4} \))(\( 1 - 18 T + 1150 T^{2} - 23958 T^{3} + 1771561 T^{4} \))(\( 1 - 22 T + 2646 T^{2} - 29282 T^{3} + 1771561 T^{4} \))(\( 1 + 44 T + 990 T^{2} + 58564 T^{3} + 1771561 T^{4} \))(\( 1 + 6 T + 1246 T^{2} + 7986 T^{3} + 1771561 T^{4} \))(\( 1 + 48 T + 3090 T^{2} + 63888 T^{3} + 1771561 T^{4} \))(\( 1 + 26 T + 2494 T^{2} + 34606 T^{3} + 1771561 T^{4} \))(\( 1 + 22 T + 726 T^{2} + 29282 T^{3} + 1771561 T^{4} \))(\( 1 + 48 T + 933 T^{2} + 32288 T^{3} + 1241823 T^{4} + 85034928 T^{5} + 2357947691 T^{6} \))(\( 1 + 1153 T^{2} - 45280 T^{3} + 1534643 T^{4} + 2357947691 T^{6} \))(\( 1 - 48 T + 933 T^{2} - 32288 T^{3} + 1241823 T^{4} - 85034928 T^{5} + 2357947691 T^{6} \))(\( 1 + 1153 T^{2} + 45280 T^{3} + 1534643 T^{4} + 2357947691 T^{6} \))(\( 1 - 2650 T^{2} + 1771561 T^{4} \))(\( 1 + 512 T^{2} + 1771561 T^{4} \))(\( 1 + 512 T^{2} + 1771561 T^{4} \))(\( 1 - 2650 T^{2} + 1771561 T^{4} \))(\( 1 - 7684 T^{2} + 29103112 T^{4} - 68711357356 T^{6} + 109991929594990 T^{8} - 121726360948952716 T^{10} + 91338032551689455752 T^{12} - \)\(42\!\cdots\!04\)\( T^{14} + \)\(98\!\cdots\!41\)\( T^{16} \))(\( 1 - 7684 T^{2} + 29103112 T^{4} - 68711357356 T^{6} + 109991929594990 T^{8} - 121726360948952716 T^{10} + 91338032551689455752 T^{12} - \)\(42\!\cdots\!04\)\( T^{14} + \)\(98\!\cdots\!41\)\( T^{16} \))(\( 1 - 5558 T^{2} + 17328562 T^{4} - 39697781446 T^{6} + 74680549582767 T^{8} - 120183901806731444 T^{10} + \)\(16\!\cdots\!76\)\( T^{12} - \)\(21\!\cdots\!84\)\( T^{14} + \)\(23\!\cdots\!07\)\( T^{16} - \)\(22\!\cdots\!26\)\( T^{18} + \)\(17\!\cdots\!42\)\( T^{20} - \)\(96\!\cdots\!58\)\( T^{22} + \)\(30\!\cdots\!61\)\( T^{24} \))(\( 1 - 5558 T^{2} + 17328562 T^{4} - 39697781446 T^{6} + 74680549582767 T^{8} - 120183901806731444 T^{10} + \)\(16\!\cdots\!76\)\( T^{12} - \)\(21\!\cdots\!84\)\( T^{14} + \)\(23\!\cdots\!07\)\( T^{16} - \)\(22\!\cdots\!26\)\( T^{18} + \)\(17\!\cdots\!42\)\( T^{20} - \)\(96\!\cdots\!58\)\( T^{22} + \)\(30\!\cdots\!61\)\( T^{24} \))(\( 1 - 1590 T^{2} - 1291749 T^{4} + 5263277892 T^{6} - 2288412150189 T^{8} - 4990101118986390 T^{10} + 5559917313492231481 T^{12} \))(\( 1 - 3270 T^{2} + 8076603 T^{4} - 12268232412 T^{6} + 14308194887283 T^{8} - 10262660791877670 T^{10} + 5559917313492231481 T^{12} \))(\( 1 - 3270 T^{2} + 8076603 T^{4} - 12268232412 T^{6} + 14308194887283 T^{8} - 10262660791877670 T^{10} + 5559917313492231481 T^{12} \))(\( 1 - 1590 T^{2} - 1291749 T^{4} + 5263277892 T^{6} - 2288412150189 T^{8} - 4990101118986390 T^{10} + 5559917313492231481 T^{12} \))(\( 1 - 9324 T^{2} + 42465690 T^{4} - 126805598172 T^{6} + 281201022895311 T^{8} - 495858797318495448 T^{10} + \)\(72\!\cdots\!40\)\( T^{12} - \)\(87\!\cdots\!28\)\( T^{14} + \)\(88\!\cdots\!31\)\( T^{16} - \)\(70\!\cdots\!32\)\( T^{18} + \)\(41\!\cdots\!90\)\( T^{20} - \)\(16\!\cdots\!24\)\( T^{22} + \)\(30\!\cdots\!61\)\( T^{24} \))(\( 1 - 7596 T^{2} + 27879450 T^{4} - 69025732380 T^{6} + 133960821983439 T^{8} - 218818134225528408 T^{10} + \)\(31\!\cdots\!32\)\( T^{12} - \)\(38\!\cdots\!88\)\( T^{14} + \)\(42\!\cdots\!19\)\( T^{16} - \)\(38\!\cdots\!80\)\( T^{18} + \)\(27\!\cdots\!50\)\( T^{20} - \)\(13\!\cdots\!96\)\( T^{22} + \)\(30\!\cdots\!61\)\( T^{24} \))(\( 1 - 7596 T^{2} + 27879450 T^{4} - 69025732380 T^{6} + 133960821983439 T^{8} - 218818134225528408 T^{10} + \)\(31\!\cdots\!32\)\( T^{12} - \)\(38\!\cdots\!88\)\( T^{14} + \)\(42\!\cdots\!19\)\( T^{16} - \)\(38\!\cdots\!80\)\( T^{18} + \)\(27\!\cdots\!50\)\( T^{20} - \)\(13\!\cdots\!96\)\( T^{22} + \)\(30\!\cdots\!61\)\( T^{24} \))(\( 1 - 9324 T^{2} + 42465690 T^{4} - 126805598172 T^{6} + 281201022895311 T^{8} - 495858797318495448 T^{10} + \)\(72\!\cdots\!40\)\( T^{12} - \)\(87\!\cdots\!28\)\( T^{14} + \)\(88\!\cdots\!31\)\( T^{16} - \)\(70\!\cdots\!32\)\( T^{18} + \)\(41\!\cdots\!90\)\( T^{20} - \)\(16\!\cdots\!24\)\( T^{22} + \)\(30\!\cdots\!61\)\( T^{24} \))(\( ( 1 + 6028 T^{2} + 18125668 T^{4} + 37585240036 T^{6} + 57991069850422 T^{8} + 66584545423416196 T^{10} + 56886110798223774628 T^{12} + \)\(33\!\cdots\!68\)\( T^{14} + \)\(98\!\cdots\!41\)\( T^{16} )^{2} \))(\( ( 1 + 6028 T^{2} + 18125668 T^{4} + 37585240036 T^{6} + 57991069850422 T^{8} + 66584545423416196 T^{10} + 56886110798223774628 T^{12} + \)\(33\!\cdots\!68\)\( T^{14} + \)\(98\!\cdots\!41\)\( T^{16} )^{2} \))
$13$ (\( 1 - 34 T + 2197 T^{2} \))(\( 1 + 54 T + 2197 T^{2} \))(\( 1 - 46 T + 2197 T^{2} \))(\( 1 + 62 T + 2197 T^{2} \))(\( 1 + 2 T + 2197 T^{2} \))(\( 1 - 42 T + 2197 T^{2} \))(\( 1 + 86 T + 2197 T^{2} \))(\( 1 - 66 T + 2197 T^{2} \))(\( 1 - 62 T + 2197 T^{2} \))(\( 1 + 30 T + 2197 T^{2} \))(\( 1 - 10 T + 2197 T^{2} \))(\( 1 - 54 T + 2197 T^{2} \))(\( 1 + 58 T + 2197 T^{2} \))(\( 1 - 34 T + 2197 T^{2} \))(\( 1 - 34 T + 2197 T^{2} \))(\( 1 + 54 T + 2197 T^{2} \))(\( 1 + 62 T + 2197 T^{2} \))(\( 1 - 46 T + 2197 T^{2} \))(\( 1 + 2 T + 2197 T^{2} \))(\( 1 - 42 T + 2197 T^{2} \))(\( 1 - 66 T + 2197 T^{2} \))(\( 1 + 86 T + 2197 T^{2} \))(\( 1 - 62 T + 2197 T^{2} \))(\( 1 - 10 T + 2197 T^{2} \))(\( 1 + 30 T + 2197 T^{2} \))(\( 1 - 54 T + 2197 T^{2} \))(\( 1 - 34 T + 2197 T^{2} \))(\( 1 + 58 T + 2197 T^{2} \))(\( ( 1 + 26 T + 2197 T^{2} )^{2} \))(\( 1 + 48 T + 4262 T^{2} + 105456 T^{3} + 4826809 T^{4} \))(\( 1 + 24 T + 3990 T^{2} + 52728 T^{3} + 4826809 T^{4} \))(\( 1 - 60 T + 2478 T^{2} - 131820 T^{3} + 4826809 T^{4} \))(\( 1 + 16 T + 2406 T^{2} + 35152 T^{3} + 4826809 T^{4} \))(\( 1 - 52 T + 2702 T^{2} - 114244 T^{3} + 4826809 T^{4} \))(\( 1 + 96 T + 5350 T^{2} + 210912 T^{3} + 4826809 T^{4} \))(\( 1 - 24 T + 4470 T^{2} - 52728 T^{3} + 4826809 T^{4} \))(\( ( 1 + 26 T + 2197 T^{2} )^{2} \))(\( 1 + 48 T + 4262 T^{2} + 105456 T^{3} + 4826809 T^{4} \))(\( 1 + 24 T + 3990 T^{2} + 52728 T^{3} + 4826809 T^{4} \))(\( 1 - 60 T + 2478 T^{2} - 131820 T^{3} + 4826809 T^{4} \))(\( 1 + 16 T + 2406 T^{2} + 35152 T^{3} + 4826809 T^{4} \))(\( 1 - 52 T + 2702 T^{2} - 114244 T^{3} + 4826809 T^{4} \))(\( 1 + 96 T + 5350 T^{2} + 210912 T^{3} + 4826809 T^{4} \))(\( 1 - 24 T + 4470 T^{2} - 52728 T^{3} + 4826809 T^{4} \))(\( 1 + 6 T - 165 T^{2} + 90020 T^{3} - 362505 T^{4} + 28960854 T^{5} + 10604499373 T^{6} \))(\( 1 - 50 T + 5611 T^{2} - 192780 T^{3} + 12327367 T^{4} - 241340450 T^{5} + 10604499373 T^{6} \))(\( 1 + 6 T - 165 T^{2} + 90020 T^{3} - 362505 T^{4} + 28960854 T^{5} + 10604499373 T^{6} \))(\( 1 - 50 T + 5611 T^{2} - 192780 T^{3} + 12327367 T^{4} - 241340450 T^{5} + 10604499373 T^{6} \))(\( 1 - 4202 T^{2} + 4826809 T^{4} \))(\( 1 + 1006 T^{2} + 4826809 T^{4} \))(\( 1 + 1006 T^{2} + 4826809 T^{4} \))(\( 1 - 4202 T^{2} + 4826809 T^{4} \))(\( 1 - 7736 T^{2} + 33258844 T^{4} - 103335049928 T^{6} + 251087208174118 T^{8} - 498778549007919752 T^{10} + \)\(77\!\cdots\!64\)\( T^{12} - \)\(86\!\cdots\!44\)\( T^{14} + \)\(54\!\cdots\!61\)\( T^{16} \))(\( 1 - 7736 T^{2} + 33258844 T^{4} - 103335049928 T^{6} + 251087208174118 T^{8} - 498778549007919752 T^{10} + \)\(77\!\cdots\!64\)\( T^{12} - \)\(86\!\cdots\!44\)\( T^{14} + \)\(54\!\cdots\!61\)\( T^{16} \))(\( 1 - 16388 T^{2} + 130168450 T^{4} - 667979540948 T^{6} + 2502014595031295 T^{8} - 7350443941021209352 T^{10} + \)\(17\!\cdots\!68\)\( T^{12} - \)\(35\!\cdots\!68\)\( T^{14} + \)\(58\!\cdots\!95\)\( T^{16} - \)\(75\!\cdots\!92\)\( T^{18} + \)\(70\!\cdots\!50\)\( T^{20} - \)\(42\!\cdots\!12\)\( T^{22} + \)\(12\!\cdots\!41\)\( T^{24} \))(\( 1 - 16388 T^{2} + 130168450 T^{4} - 667979540948 T^{6} + 2502014595031295 T^{8} - 7350443941021209352 T^{10} + \)\(17\!\cdots\!68\)\( T^{12} - \)\(35\!\cdots\!68\)\( T^{14} + \)\(58\!\cdots\!95\)\( T^{16} - \)\(75\!\cdots\!92\)\( T^{18} + \)\(70\!\cdots\!50\)\( T^{20} - \)\(42\!\cdots\!12\)\( T^{22} + \)\(12\!\cdots\!41\)\( T^{24} \))(\( 1 - 8154 T^{2} + 34676871 T^{4} - 94493698924 T^{6} + 167378633034639 T^{8} - 189972586088710074 T^{10} + \)\(11\!\cdots\!29\)\( T^{12} \))(\( 1 - 6298 T^{2} + 13800455 T^{4} - 20942216428 T^{6} + 66612160398095 T^{8} - 146731340101385338 T^{10} + \)\(11\!\cdots\!29\)\( T^{12} \))(\( 1 - 6298 T^{2} + 13800455 T^{4} - 20942216428 T^{6} + 66612160398095 T^{8} - 146731340101385338 T^{10} + \)\(11\!\cdots\!29\)\( T^{12} \))(\( 1 - 8154 T^{2} + 34676871 T^{4} - 94493698924 T^{6} + 167378633034639 T^{8} - 189972586088710074 T^{10} + \)\(11\!\cdots\!29\)\( T^{12} \))(\( 1 - 11540 T^{2} + 66573938 T^{4} - 251993578404 T^{6} + 699300450396991 T^{8} - 1592117648923307944 T^{10} + \)\(34\!\cdots\!72\)\( T^{12} - \)\(76\!\cdots\!96\)\( T^{14} + \)\(16\!\cdots\!71\)\( T^{16} - \)\(28\!\cdots\!16\)\( T^{18} + \)\(36\!\cdots\!18\)\( T^{20} - \)\(30\!\cdots\!60\)\( T^{22} + \)\(12\!\cdots\!41\)\( T^{24} \))(\( 1 - 9684 T^{2} + 40537842 T^{4} - 105776383844 T^{6} + 265700266582335 T^{8} - 808509173654607144 T^{10} + \)\(21\!\cdots\!20\)\( T^{12} - \)\(39\!\cdots\!96\)\( T^{14} + \)\(61\!\cdots\!35\)\( T^{16} - \)\(11\!\cdots\!76\)\( T^{18} + \)\(22\!\cdots\!62\)\( T^{20} - \)\(25\!\cdots\!16\)\( T^{22} + \)\(12\!\cdots\!41\)\( T^{24} \))(\( 1 - 9684 T^{2} + 40537842 T^{4} - 105776383844 T^{6} + 265700266582335 T^{8} - 808509173654607144 T^{10} + \)\(21\!\cdots\!20\)\( T^{12} - \)\(39\!\cdots\!96\)\( T^{14} + \)\(61\!\cdots\!35\)\( T^{16} - \)\(11\!\cdots\!76\)\( T^{18} + \)\(22\!\cdots\!62\)\( T^{20} - \)\(25\!\cdots\!16\)\( T^{22} + \)\(12\!\cdots\!41\)\( T^{24} \))(\( 1 - 11540 T^{2} + 66573938 T^{4} - 251993578404 T^{6} + 699300450396991 T^{8} - 1592117648923307944 T^{10} + \)\(34\!\cdots\!72\)\( T^{12} - \)\(76\!\cdots\!96\)\( T^{14} + \)\(16\!\cdots\!71\)\( T^{16} - \)\(28\!\cdots\!16\)\( T^{18} + \)\(36\!\cdots\!18\)\( T^{20} - \)\(30\!\cdots\!60\)\( T^{22} + \)\(12\!\cdots\!41\)\( T^{24} \))(\( ( 1 + 14 T + 4184 T^{2} + 162330 T^{3} + 9355550 T^{4} + 356639010 T^{5} + 20195368856 T^{6} + 148462991222 T^{7} + 23298085122481 T^{8} )^{4} \))(\( ( 1 - 14 T + 4184 T^{2} - 162330 T^{3} + 9355550 T^{4} - 356639010 T^{5} + 20195368856 T^{6} - 148462991222 T^{7} + 23298085122481 T^{8} )^{4} \))
$17$ (\( 1 - 6 T + 4913 T^{2} \))(\( 1 + 14 T + 4913 T^{2} \))(\( 1 + 82 T + 4913 T^{2} \))(\( 1 - 114 T + 4913 T^{2} \))(\( 1 + 36 T + 4913 T^{2} \))(\( 1 + 2 T + 4913 T^{2} \))(\( 1 + 30 T + 4913 T^{2} \))(\( 1 + 70 T + 4913 T^{2} \))(\( 1 - 84 T + 4913 T^{2} \))(\( 1 - 34 T + 4913 T^{2} \))(\( 1 + 54 T + 4913 T^{2} \))(\( 1 + 128 T + 4913 T^{2} \))(\( 1 + 130 T + 4913 T^{2} \))(\( 1 - 42 T + 4913 T^{2} \))(\( 1 - 6 T + 4913 T^{2} \))(\( 1 + 14 T + 4913 T^{2} \))(\( 1 - 114 T + 4913 T^{2} \))(\( 1 + 82 T + 4913 T^{2} \))(\( 1 + 36 T + 4913 T^{2} \))(\( 1 + 2 T + 4913 T^{2} \))(\( 1 + 70 T + 4913 T^{2} \))(\( 1 + 30 T + 4913 T^{2} \))(\( 1 - 84 T + 4913 T^{2} \))(\( 1 + 54 T + 4913 T^{2} \))(\( 1 - 34 T + 4913 T^{2} \))(\( 1 + 128 T + 4913 T^{2} \))(\( 1 - 42 T + 4913 T^{2} \))(\( 1 + 130 T + 4913 T^{2} \))(\( 1 - 56 T + 9062 T^{2} - 275128 T^{3} + 24137569 T^{4} \))(\( 1 - 34 T - 4222 T^{2} - 167042 T^{3} + 24137569 T^{4} \))(\( 1 - 30 T + 9914 T^{2} - 147390 T^{3} + 24137569 T^{4} \))(\( 1 - 48 T + 2966 T^{2} - 235824 T^{3} + 24137569 T^{4} \))(\( 1 + 6 T + 9778 T^{2} + 29478 T^{3} + 24137569 T^{4} \))(\( 1 + 12 T + 2610 T^{2} + 58956 T^{3} + 24137569 T^{4} \))(\( 1 - 78 T + 8314 T^{2} - 383214 T^{3} + 24137569 T^{4} \))(\( 1 + 150 T + 13394 T^{2} + 736950 T^{3} + 24137569 T^{4} \))(\( 1 - 56 T + 9062 T^{2} - 275128 T^{3} + 24137569 T^{4} \))(\( 1 - 34 T - 4222 T^{2} - 167042 T^{3} + 24137569 T^{4} \))(\( 1 - 30 T + 9914 T^{2} - 147390 T^{3} + 24137569 T^{4} \))(\( 1 - 48 T + 2966 T^{2} - 235824 T^{3} + 24137569 T^{4} \))(\( 1 + 6 T + 9778 T^{2} + 29478 T^{3} + 24137569 T^{4} \))(\( 1 + 12 T + 2610 T^{2} + 58956 T^{3} + 24137569 T^{4} \))(\( 1 - 78 T + 8314 T^{2} - 383214 T^{3} + 24137569 T^{4} \))(\( 1 + 150 T + 13394 T^{2} + 736950 T^{3} + 24137569 T^{4} \))(\( 1 - 54 T + 11883 T^{2} - 505868 T^{3} + 58381179 T^{4} - 1303428726 T^{5} + 118587876497 T^{6} \))(\( 1 - 30 T + 8359 T^{2} - 18900 T^{3} + 41067767 T^{4} - 724127070 T^{5} + 118587876497 T^{6} \))(\( 1 - 54 T + 11883 T^{2} - 505868 T^{3} + 58381179 T^{4} - 1303428726 T^{5} + 118587876497 T^{6} \))(\( 1 - 30 T + 8359 T^{2} - 18900 T^{3} + 41067767 T^{4} - 724127070 T^{5} + 118587876497 T^{6} \))(\( 1 - 4018 T^{2} + 24137569 T^{4} \))(\( 1 - 7180 T^{2} + 24137569 T^{4} \))(\( 1 - 7180 T^{2} + 24137569 T^{4} \))(\( 1 - 4018 T^{2} + 24137569 T^{4} \))(\( 1 - 25708 T^{2} + 341684344 T^{4} - 2888689279012 T^{6} + 16925607763770286 T^{8} - 69725936791712401828 T^{10} + \)\(19\!\cdots\!84\)\( T^{12} - \)\(36\!\cdots\!72\)\( T^{14} + \)\(33\!\cdots\!21\)\( T^{16} \))(\( 1 - 25708 T^{2} + 341684344 T^{4} - 2888689279012 T^{6} + 16925607763770286 T^{8} - 69725936791712401828 T^{10} + \)\(19\!\cdots\!84\)\( T^{12} - \)\(36\!\cdots\!72\)\( T^{14} + \)\(33\!\cdots\!21\)\( T^{16} \))(\( 1 - 24130 T^{2} + 336665322 T^{4} - 3317046729666 T^{6} + 25449379046911359 T^{8} - \)\(16\!\cdots\!44\)\( T^{10} + \)\(85\!\cdots\!96\)\( T^{12} - \)\(38\!\cdots\!36\)\( T^{14} + \)\(14\!\cdots\!99\)\( T^{16} - \)\(46\!\cdots\!94\)\( T^{18} + \)\(11\!\cdots\!62\)\( T^{20} - \)\(19\!\cdots\!70\)\( T^{22} + \)\(19\!\cdots\!81\)\( T^{24} \))(\( 1 - 24130 T^{2} + 336665322 T^{4} - 3317046729666 T^{6} + 25449379046911359 T^{8} - \)\(16\!\cdots\!44\)\( T^{10} + \)\(85\!\cdots\!96\)\( T^{12} - \)\(38\!\cdots\!36\)\( T^{14} + \)\(14\!\cdots\!99\)\( T^{16} - \)\(46\!\cdots\!94\)\( T^{18} + \)\(11\!\cdots\!62\)\( T^{20} - \)\(19\!\cdots\!70\)\( T^{22} + \)\(19\!\cdots\!81\)\( T^{24} \))(\( ( 1 + 8 T + 11693 T^{2} + 12516 T^{3} + 57447709 T^{4} + 193100552 T^{5} + 118587876497 T^{6} )^{2} \))(\( ( 1 + 36 T + 3413 T^{2} + 694188 T^{3} + 16768069 T^{4} + 868952484 T^{5} + 118587876497 T^{6} )^{2} \))(\( ( 1 + 36 T + 3413 T^{2} + 694188 T^{3} + 16768069 T^{4} + 868952484 T^{5} + 118587876497 T^{6} )^{2} \))(\( ( 1 + 8 T + 11693 T^{2} + 12516 T^{3} + 57447709 T^{4} + 193100552 T^{5} + 118587876497 T^{6} )^{2} \))(\( ( 1 - 12 T + 9370 T^{2} + 10308 T^{3} + 66148083 T^{4} - 398666184 T^{5} + 437241664964 T^{6} - 1958646961992 T^{7} + 1596653917630227 T^{8} + 1222403830931076 T^{9} + 5459170362842860570 T^{10} - 34349076618117789516 T^{11} + \)\(14\!\cdots\!09\)\( T^{12} )^{2} \))(\( ( 1 - 188 T + 31898 T^{2} - 3707212 T^{3} + 375556659 T^{4} - 31958481352 T^{5} + 2387518955716 T^{6} - 157012018882376 T^{7} + 9065024770021971 T^{8} - 439630398804196364 T^{9} + 18584484123154916378 T^{10} - \)\(53\!\cdots\!84\)\( T^{11} + \)\(14\!\cdots\!09\)\( T^{12} )^{2} \))(\( ( 1 - 188 T + 31898 T^{2} - 3707212 T^{3} + 375556659 T^{4} - 31958481352 T^{5} + 2387518955716 T^{6} - 157012018882376 T^{7} + 9065024770021971 T^{8} - 439630398804196364 T^{9} + 18584484123154916378 T^{10} - \)\(53\!\cdots\!84\)\( T^{11} + \)\(14\!\cdots\!09\)\( T^{12} )^{2} \))(\( ( 1 - 12 T + 9370 T^{2} + 10308 T^{3} + 66148083 T^{4} - 398666184 T^{5} + 437241664964 T^{6} - 1958646961992 T^{7} + 1596653917630227 T^{8} + 1222403830931076 T^{9} + 5459170362842860570 T^{10} - 34349076618117789516 T^{11} + \)\(14\!\cdots\!09\)\( T^{12} )^{2} \))(\( ( 1 - 11224 T^{2} + 111428524 T^{4} - 758295010168 T^{6} + 4214397983332678 T^{8} - 18303398130285801592 T^{10} + \)\(64\!\cdots\!64\)\( T^{12} - \)\(15\!\cdots\!16\)\( T^{14} + \)\(33\!\cdots\!21\)\( T^{16} )^{2} \))(\( ( 1 - 11224 T^{2} + 111428524 T^{4} - 758295010168 T^{6} + 4214397983332678 T^{8} - 18303398130285801592 T^{10} + \)\(64\!\cdots\!64\)\( T^{12} - \)\(15\!\cdots\!16\)\( T^{14} + \)\(33\!\cdots\!21\)\( T^{16} )^{2} \))
$19$ (\( 1 - 92 T + 6859 T^{2} \))(\( 1 + 92 T + 6859 T^{2} \))(\( 1 - 84 T + 6859 T^{2} \))(\( 1 + 76 T + 6859 T^{2} \))(\( 1 + 76 T + 6859 T^{2} \))(\( 1 - 124 T + 6859 T^{2} \))(\( 1 - 4 T + 6859 T^{2} \))(\( 1 + 92 T + 6859 T^{2} \))(\( 1 - 100 T + 6859 T^{2} \))(\( 1 - 148 T + 6859 T^{2} \))(\( 1 - 52 T + 6859 T^{2} \))(\( 1 + 52 T + 6859 T^{2} \))(\( 1 + 92 T + 6859 T^{2} \))(\( 1 + 124 T + 6859 T^{2} \))(\( 1 + 92 T + 6859 T^{2} \))(\( 1 - 92 T + 6859 T^{2} \))(\( 1 - 76 T + 6859 T^{2} \))(\( 1 + 84 T + 6859 T^{2} \))(\( 1 - 76 T + 6859 T^{2} \))(\( 1 + 124 T + 6859 T^{2} \))(\( 1 - 92 T + 6859 T^{2} \))(\( 1 + 4 T + 6859 T^{2} \))(\( 1 + 100 T + 6859 T^{2} \))(\( 1 + 52 T + 6859 T^{2} \))(\( 1 + 148 T + 6859 T^{2} \))(\( 1 - 52 T + 6859 T^{2} \))(\( 1 - 124 T + 6859 T^{2} \))(\( 1 - 92 T + 6859 T^{2} \))(\( 1 - 32 T + 13286 T^{2} - 219488 T^{3} + 47045881 T^{4} \))(\( 1 - 16 T + 10950 T^{2} - 109744 T^{3} + 47045881 T^{4} \))(\( 1 + 32 T + 11782 T^{2} + 219488 T^{3} + 47045881 T^{4} \))(\( 1 - 80 T + 15142 T^{2} - 548720 T^{3} + 47045881 T^{4} \))(\( 1 + 64 T + 6534 T^{2} + 438976 T^{3} + 47045881 T^{4} \))(\( 1 - 160 T + 19526 T^{2} - 1097440 T^{3} + 47045881 T^{4} \))(\( ( 1 - 20 T + 6859 T^{2} )^{2} \))(\( 1 + 8 T - 3674 T^{2} + 54872 T^{3} + 47045881 T^{4} \))(\( 1 + 32 T + 13286 T^{2} + 219488 T^{3} + 47045881 T^{4} \))(\( 1 + 16 T + 10950 T^{2} + 109744 T^{3} + 47045881 T^{4} \))(\( 1 - 32 T + 11782 T^{2} - 219488 T^{3} + 47045881 T^{4} \))(\( 1 + 80 T + 15142 T^{2} + 548720 T^{3} + 47045881 T^{4} \))(\( 1 - 64 T + 6534 T^{2} - 438976 T^{3} + 47045881 T^{4} \))(\( 1 + 160 T + 19526 T^{2} + 1097440 T^{3} + 47045881 T^{4} \))(\( ( 1 + 20 T + 6859 T^{2} )^{2} \))(\( 1 - 8 T - 3674 T^{2} - 54872 T^{3} + 47045881 T^{4} \))(\( 1 + 84 T + 18705 T^{2} + 952056 T^{3} + 128297595 T^{4} + 3951854004 T^{5} + 322687697779 T^{6} \))(\( 1 + 140 T + 17457 T^{2} + 1926600 T^{3} + 119737563 T^{4} + 6586423340 T^{5} + 322687697779 T^{6} \))(\( 1 - 84 T + 18705 T^{2} - 952056 T^{3} + 128297595 T^{4} - 3951854004 T^{5} + 322687697779 T^{6} \))(\( 1 - 140 T + 17457 T^{2} - 1926600 T^{3} + 119737563 T^{4} - 6586423340 T^{5} + 322687697779 T^{6} \))(\( ( 1 - 52 T + 6859 T^{2} )^{2} \))(\( ( 1 + 10 T + 6859 T^{2} )^{2} \))(\( ( 1 - 10 T + 6859 T^{2} )^{2} \))(\( ( 1 + 52 T + 6859 T^{2} )^{2} \))(\( ( 1 + 28 T + 17056 T^{2} + 75836 T^{3} + 133946894 T^{4} + 520159124 T^{5} + 802414546336 T^{6} + 9035255537812 T^{7} + 2213314919066161 T^{8} )^{2} \))(\( ( 1 - 28 T + 17056 T^{2} - 75836 T^{3} + 133946894 T^{4} - 520159124 T^{5} + 802414546336 T^{6} - 9035255537812 T^{7} + 2213314919066161 T^{8} )^{2} \))(\( ( 1 + 42 T + 14070 T^{2} - 395490 T^{3} + 62436071 T^{4} - 9398728548 T^{5} + 289465860276 T^{6} - 64465879110732 T^{7} + 2937359966373551 T^{8} - 127619757594616710 T^{9} + 31141340911260885270 T^{10} + \)\(63\!\cdots\!58\)\( T^{11} + \)\(10\!\cdots\!41\)\( T^{12} )^{2} \))(\( ( 1 - 42 T + 14070 T^{2} + 395490 T^{3} + 62436071 T^{4} + 9398728548 T^{5} + 289465860276 T^{6} + 64465879110732 T^{7} + 2937359966373551 T^{8} + 127619757594616710 T^{9} + 31141340911260885270 T^{10} - \)\(63\!\cdots\!58\)\( T^{11} + \)\(10\!\cdots\!41\)\( T^{12} )^{2} \))(\( 1 - 22698 T^{2} + 281976327 T^{4} - 2305939211084 T^{6} + 13265824724859087 T^{8} - 50237822032963722378 T^{10} + \)\(10\!\cdots\!41\)\( T^{12} \))(\( 1 - 3914 T^{2} + 107507975 T^{4} - 346702513676 T^{6} + 5057807398400975 T^{8} - 8662914593224954154 T^{10} + \)\(10\!\cdots\!41\)\( T^{12} \))(\( 1 - 3914 T^{2} + 107507975 T^{4} - 346702513676 T^{6} + 5057807398400975 T^{8} - 8662914593224954154 T^{10} + \)\(10\!\cdots\!41\)\( T^{12} \))(\( 1 - 22698 T^{2} + 281976327 T^{4} - 2305939211084 T^{6} + 13265824724859087 T^{8} - 50237822032963722378 T^{10} + \)\(10\!\cdots\!41\)\( T^{12} \))(\( 1 - 51124 T^{2} + 1266327218 T^{4} - 20484327845316 T^{6} + 245117396903208895 T^{8} - \)\(23\!\cdots\!64\)\( T^{10} + \)\(17\!\cdots\!48\)\( T^{12} - \)\(10\!\cdots\!84\)\( T^{14} + \)\(54\!\cdots\!95\)\( T^{16} - \)\(21\!\cdots\!56\)\( T^{18} + \)\(62\!\cdots\!78\)\( T^{20} - \)\(11\!\cdots\!24\)\( T^{22} + \)\(10\!\cdots\!81\)\( T^{24} \))(\( 1 - 48564 T^{2} + 1176495282 T^{4} - 18933918155716 T^{6} + 226226854047309759 T^{8} - \)\(21\!\cdots\!80\)\( T^{10} + \)\(16\!\cdots\!52\)\( T^{12} - \)\(99\!\cdots\!80\)\( T^{14} + \)\(50\!\cdots\!99\)\( T^{16} - \)\(19\!\cdots\!56\)\( T^{18} + \)\(57\!\cdots\!22\)\( T^{20} - \)\(11\!\cdots\!64\)\( T^{22} + \)\(10\!\cdots\!81\)\( T^{24} \))(\( 1 - 48564 T^{2} + 1176495282 T^{4} - 18933918155716 T^{6} + 226226854047309759 T^{8} - \)\(21\!\cdots\!80\)\( T^{10} + \)\(16\!\cdots\!52\)\( T^{12} - \)\(99\!\cdots\!80\)\( T^{14} + \)\(50\!\cdots\!99\)\( T^{16} - \)\(19\!\cdots\!56\)\( T^{18} + \)\(57\!\cdots\!22\)\( T^{20} - \)\(11\!\cdots\!64\)\( T^{22} + \)\(10\!\cdots\!81\)\( T^{24} \))(\( 1 - 51124 T^{2} + 1266327218 T^{4} - 20484327845316 T^{6} + 245117396903208895 T^{8} - \)\(23\!\cdots\!64\)\( T^{10} + \)\(17\!\cdots\!48\)\( T^{12} - \)\(10\!\cdots\!84\)\( T^{14} + \)\(54\!\cdots\!95\)\( T^{16} - \)\(21\!\cdots\!56\)\( T^{18} + \)\(62\!\cdots\!78\)\( T^{20} - \)\(11\!\cdots\!24\)\( T^{22} + \)\(10\!\cdots\!81\)\( T^{24} \))(\( ( 1 - 45144 T^{2} + 943037564 T^{4} - 11905767958824 T^{6} + 99301336740697830 T^{8} - \)\(56\!\cdots\!44\)\( T^{10} + \)\(20\!\cdots\!04\)\( T^{12} - \)\(47\!\cdots\!04\)\( T^{14} + \)\(48\!\cdots\!21\)\( T^{16} )^{2} \))(\( ( 1 - 45144 T^{2} + 943037564 T^{4} - 11905767958824 T^{6} + 99301336740697830 T^{8} - \)\(56\!\cdots\!44\)\( T^{10} + \)\(20\!\cdots\!04\)\( T^{12} - \)\(47\!\cdots\!04\)\( T^{14} + \)\(48\!\cdots\!21\)\( T^{16} )^{2} \))
$23$ (\( 1 - 180 T + 12167 T^{2} \))(\( 1 + 152 T + 12167 T^{2} \))(\( 1 + 44 T + 12167 T^{2} \))(\( 1 - 24 T + 12167 T^{2} \))(\( 1 - 114 T + 12167 T^{2} \))(\( 1 - 76 T + 12167 T^{2} \))(\( 1 - 120 T + 12167 T^{2} \))(\( 1 + 16 T + 12167 T^{2} \))(\( 1 - 42 T + 12167 T^{2} \))(\( 1 + 152 T + 12167 T^{2} \))(\( 1 - 48 T + 12167 T^{2} \))(\( 1 + 202 T + 12167 T^{2} \))(\( 1 - 84 T + 12167 T^{2} \))(\( 1 + 12167 T^{2} \))(\( 1 + 180 T + 12167 T^{2} \))(\( 1 - 152 T + 12167 T^{2} \))(\( 1 + 24 T + 12167 T^{2} \))(\( 1 - 44 T + 12167 T^{2} \))(\( 1 + 114 T + 12167 T^{2} \))(\( 1 + 76 T + 12167 T^{2} \))(\( 1 - 16 T + 12167 T^{2} \))(\( 1 + 120 T + 12167 T^{2} \))(\( 1 + 42 T + 12167 T^{2} \))(\( 1 + 48 T + 12167 T^{2} \))(\( 1 - 152 T + 12167 T^{2} \))(\( 1 - 202 T + 12167 T^{2} \))(\( 1 + 12167 T^{2} \))(\( 1 + 84 T + 12167 T^{2} \))(\( 1 - 44 T + 4006 T^{2} - 535348 T^{3} + 148035889 T^{4} \))(\( 1 - 110 T + 18686 T^{2} - 1338370 T^{3} + 148035889 T^{4} \))(\( 1 - 82 T + 24782 T^{2} - 997694 T^{3} + 148035889 T^{4} \))(\( 1 + 140 T + 28838 T^{2} + 1703380 T^{3} + 148035889 T^{4} \))(\( 1 - 6 T + 7870 T^{2} - 73002 T^{3} + 148035889 T^{4} \))(\( 1 + 48 T + 21210 T^{2} + 584016 T^{3} + 148035889 T^{4} \))(\( 1 + 22 T + 16030 T^{2} + 267674 T^{3} + 148035889 T^{4} \))(\( 1 + 82 T + 7502 T^{2} + 997694 T^{3} + 148035889 T^{4} \))(\( 1 + 44 T + 4006 T^{2} + 535348 T^{3} + 148035889 T^{4} \))(\( 1 + 110 T + 18686 T^{2} + 1338370 T^{3} + 148035889 T^{4} \))(\( 1 + 82 T + 24782 T^{2} + 997694 T^{3} + 148035889 T^{4} \))(\( 1 - 140 T + 28838 T^{2} - 1703380 T^{3} + 148035889 T^{4} \))(\( 1 + 6 T + 7870 T^{2} + 73002 T^{3} + 148035889 T^{4} \))(\( 1 - 48 T + 21210 T^{2} - 584016 T^{3} + 148035889 T^{4} \))(\( 1 - 22 T + 16030 T^{2} - 267674 T^{3} + 148035889 T^{4} \))(\( 1 - 82 T + 7502 T^{2} - 997694 T^{3} + 148035889 T^{4} \))(\( 1 - 48 T + 32001 T^{2} - 980384 T^{3} + 389356167 T^{4} - 7105722672 T^{5} + 1801152661463 T^{6} \))(\( 1 - 56 T + 1213 T^{2} + 1923088 T^{3} + 14758571 T^{4} - 8290009784 T^{5} + 1801152661463 T^{6} \))(\( 1 + 48 T + 32001 T^{2} + 980384 T^{3} + 389356167 T^{4} + 7105722672 T^{5} + 1801152661463 T^{6} \))(\( 1 + 56 T + 1213 T^{2} - 1923088 T^{3} + 14758571 T^{4} + 8290009784 T^{5} + 1801152661463 T^{6} \))(\( 1 - 11266 T^{2} + 148035889 T^{4} \))(\( 1 - 11080 T^{2} + 148035889 T^{4} \))(\( 1 - 11080 T^{2} + 148035889 T^{4} \))(\( 1 - 11266 T^{2} + 148035889 T^{4} \))(\( 1 - 29476 T^{2} + 511325128 T^{4} - 7961603563564 T^{6} + 110519492921771470 T^{8} - \)\(11\!\cdots\!96\)\( T^{10} + \)\(11\!\cdots\!88\)\( T^{12} - \)\(95\!\cdots\!44\)\( T^{14} + \)\(48\!\cdots\!41\)\( T^{16} \))(\( 1 - 29476 T^{2} + 511325128 T^{4} - 7961603563564 T^{6} + 110519492921771470 T^{8} - \)\(11\!\cdots\!96\)\( T^{10} + \)\(11\!\cdots\!88\)\( T^{12} - \)\(95\!\cdots\!44\)\( T^{14} + \)\(48\!\cdots\!41\)\( T^{16} \))(\( 1 - 92822 T^{2} + 4403882674 T^{4} - 138019190867542 T^{6} + 3157265325811091679 T^{8} - \)\(55\!\cdots\!92\)\( T^{10} + \)\(75\!\cdots\!32\)\( T^{12} - \)\(81\!\cdots\!88\)\( T^{14} + \)\(69\!\cdots\!59\)\( T^{16} - \)\(44\!\cdots\!98\)\( T^{18} + \)\(21\!\cdots\!34\)\( T^{20} - \)\(65\!\cdots\!78\)\( T^{22} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 - 92822 T^{2} + 4403882674 T^{4} - 138019190867542 T^{6} + 3157265325811091679 T^{8} - \)\(55\!\cdots\!92\)\( T^{10} + \)\(75\!\cdots\!32\)\( T^{12} - \)\(81\!\cdots\!88\)\( T^{14} + \)\(69\!\cdots\!59\)\( T^{16} - \)\(44\!\cdots\!98\)\( T^{18} + \)\(21\!\cdots\!34\)\( T^{20} - \)\(65\!\cdots\!78\)\( T^{22} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( ( 1 - 30 T + 15315 T^{2} - 1200468 T^{3} + 186337605 T^{4} - 4441076670 T^{5} + 1801152661463 T^{6} )^{2} \))(\( ( 1 - 98 T + 32235 T^{2} - 1929116 T^{3} + 392203245 T^{4} - 14507517122 T^{5} + 1801152661463 T^{6} )^{2} \))(\( ( 1 + 98 T + 32235 T^{2} + 1929116 T^{3} + 392203245 T^{4} + 14507517122 T^{5} + 1801152661463 T^{6} )^{2} \))(\( ( 1 + 30 T + 15315 T^{2} + 1200468 T^{3} + 186337605 T^{4} + 4441076670 T^{5} + 1801152661463 T^{6} )^{2} \))(\( ( 1 - 40 T + 36034 T^{2} - 1794952 T^{3} + 783292259 T^{4} - 38656748704 T^{5} + 11140086439636 T^{6} - 470336661481568 T^{7} + 115955365907883251 T^{8} - 3232982571998334776 T^{9} + \)\(78\!\cdots\!14\)\( T^{10} - \)\(10\!\cdots\!80\)\( T^{11} + \)\(32\!\cdots\!69\)\( T^{12} )^{2} \))(\( ( 1 + 168 T + 49314 T^{2} + 5840520 T^{3} + 1028170851 T^{4} + 99942890208 T^{5} + 14178935340052 T^{6} + 1216005145160736 T^{7} + 152206185971671539 T^{8} + 10519668142327880760 T^{9} + \)\(10\!\cdots\!94\)\( T^{10} + \)\(44\!\cdots\!76\)\( T^{11} + \)\(32\!\cdots\!69\)\( T^{12} )^{2} \))(\( ( 1 - 168 T + 49314 T^{2} - 5840520 T^{3} + 1028170851 T^{4} - 99942890208 T^{5} + 14178935340052 T^{6} - 1216005145160736 T^{7} + 152206185971671539 T^{8} - 10519668142327880760 T^{9} + \)\(10\!\cdots\!94\)\( T^{10} - \)\(44\!\cdots\!76\)\( T^{11} + \)\(32\!\cdots\!69\)\( T^{12} )^{2} \))(\( ( 1 + 40 T + 36034 T^{2} + 1794952 T^{3} + 783292259 T^{4} + 38656748704 T^{5} + 11140086439636 T^{6} + 470336661481568 T^{7} + 115955365907883251 T^{8} + 3232982571998334776 T^{9} + \)\(78\!\cdots\!14\)\( T^{10} + \)\(10\!\cdots\!80\)\( T^{11} + \)\(32\!\cdots\!69\)\( T^{12} )^{2} \))(\( ( 1 - 78760 T^{2} + 2819291500 T^{4} - 61085013767368 T^{6} + 891618401268336454 T^{8} - \)\(90\!\cdots\!52\)\( T^{10} + \)\(61\!\cdots\!00\)\( T^{12} - \)\(25\!\cdots\!40\)\( T^{14} + \)\(48\!\cdots\!41\)\( T^{16} )^{2} \))(\( ( 1 - 78760 T^{2} + 2819291500 T^{4} - 61085013767368 T^{6} + 891618401268336454 T^{8} - \)\(90\!\cdots\!52\)\( T^{10} + \)\(61\!\cdots\!00\)\( T^{12} - \)\(25\!\cdots\!40\)\( T^{14} + \)\(48\!\cdots\!41\)\( T^{16} )^{2} \))
$29$ (\( 1 - 114 T + 24389 T^{2} \))(\( 1 - 106 T + 24389 T^{2} \))(\( 1 + 70 T + 24389 T^{2} \))(\( 1 + 54 T + 24389 T^{2} \))(\( 1 + 6 T + 24389 T^{2} \))(\( 1 + 254 T + 24389 T^{2} \))(\( 1 + 246 T + 24389 T^{2} \))(\( 1 - 122 T + 24389 T^{2} \))(\( 1 - 10 T + 24389 T^{2} \))(\( 1 - 106 T + 24389 T^{2} \))(\( 1 - 186 T + 24389 T^{2} \))(\( 1 + 302 T + 24389 T^{2} \))(\( 1 - 250 T + 24389 T^{2} \))(\( 1 + 102 T + 24389 T^{2} \))(\( 1 - 114 T + 24389 T^{2} \))(\( 1 - 106 T + 24389 T^{2} \))(\( 1 + 54 T + 24389 T^{2} \))(\( 1 + 70 T + 24389 T^{2} \))(\( 1 + 6 T + 24389 T^{2} \))(\( 1 + 254 T + 24389 T^{2} \))(\( 1 - 122 T + 24389 T^{2} \))(\( 1 + 246 T + 24389 T^{2} \))(\( 1 - 10 T + 24389 T^{2} \))(\( 1 - 186 T + 24389 T^{2} \))(\( 1 - 106 T + 24389 T^{2} \))(\( 1 + 302 T + 24389 T^{2} \))(\( 1 + 102 T + 24389 T^{2} \))(\( 1 - 250 T + 24389 T^{2} \))(\( 1 + 20 T + 48190 T^{2} + 487780 T^{3} + 594823321 T^{4} \))(\( 1 + 212 T + 57182 T^{2} + 5170468 T^{3} + 594823321 T^{4} \))(\( 1 + 36 T - 5698 T^{2} + 878004 T^{3} + 594823321 T^{4} \))(\( 1 - 60 T + 49502 T^{2} - 1463340 T^{3} + 594823321 T^{4} \))(\( 1 - 252 T + 56446 T^{2} - 6146028 T^{3} + 594823321 T^{4} \))(\( 1 - 380 T + 79550 T^{2} - 9267820 T^{3} + 594823321 T^{4} \))(\( ( 1 + 102 T + 24389 T^{2} )^{2} \))(\( 1 - 36 T + 31694 T^{2} - 878004 T^{3} + 594823321 T^{4} \))(\( 1 + 20 T + 48190 T^{2} + 487780 T^{3} + 594823321 T^{4} \))(\( 1 + 212 T + 57182 T^{2} + 5170468 T^{3} + 594823321 T^{4} \))(\( 1 + 36 T - 5698 T^{2} + 878004 T^{3} + 594823321 T^{4} \))(\( 1 - 60 T + 49502 T^{2} - 1463340 T^{3} + 594823321 T^{4} \))(\( 1 - 252 T + 56446 T^{2} - 6146028 T^{3} + 594823321 T^{4} \))(\( 1 - 380 T + 79550 T^{2} - 9267820 T^{3} + 594823321 T^{4} \))(\( ( 1 + 102 T + 24389 T^{2} )^{2} \))(\( 1 - 36 T + 31694 T^{2} - 878004 T^{3} + 594823321 T^{4} \))(\( 1 + 18 T + 16059 T^{2} + 5726092 T^{3} + 391662951 T^{4} + 10706819778 T^{5} + 14507145975869 T^{6} \))(\( 1 + 298 T + 66235 T^{2} + 9210140 T^{3} + 1615405415 T^{4} + 177257349658 T^{5} + 14507145975869 T^{6} \))(\( 1 + 18 T + 16059 T^{2} + 5726092 T^{3} + 391662951 T^{4} + 10706819778 T^{5} + 14507145975869 T^{6} \))(\( 1 + 298 T + 66235 T^{2} + 9210140 T^{3} + 1615405415 T^{4} + 177257349658 T^{5} + 14507145975869 T^{6} \))(\( ( 1 - 246 T + 24389 T^{2} )^{2} \))(\( ( 1 + 126 T + 24389 T^{2} )^{2} \))(\( ( 1 + 126 T + 24389 T^{2} )^{2} \))(\( ( 1 - 246 T + 24389 T^{2} )^{2} \))(\( ( 1 + 120 T + 65660 T^{2} + 6712488 T^{3} + 2255693046 T^{4} + 163710869832 T^{5} + 39056099256860 T^{6} + 1740857517104280 T^{7} + 353814783205469041 T^{8} )^{2} \))(\( ( 1 + 120 T + 65660 T^{2} + 6712488 T^{3} + 2255693046 T^{4} + 163710869832 T^{5} + 39056099256860 T^{6} + 1740857517104280 T^{7} + 353814783205469041 T^{8} )^{2} \))(\( ( 1 + 100 T + 47898 T^{2} + 9341604 T^{3} + 2007541655 T^{4} + 290966053384 T^{5} + 66257486741772 T^{6} + 7096371075982376 T^{7} + 1194132594272936255 T^{8} + \)\(13\!\cdots\!76\)\( T^{9} + \)\(16\!\cdots\!18\)\( T^{10} + \)\(86\!\cdots\!00\)\( T^{11} + \)\(21\!\cdots\!61\)\( T^{12} )^{2} \))(\( ( 1 + 100 T + 47898 T^{2} + 9341604 T^{3} + 2007541655 T^{4} + 290966053384 T^{5} + 66257486741772 T^{6} + 7096371075982376 T^{7} + 1194132594272936255 T^{8} + \)\(13\!\cdots\!76\)\( T^{9} + \)\(16\!\cdots\!18\)\( T^{10} + \)\(86\!\cdots\!00\)\( T^{11} + \)\(21\!\cdots\!61\)\( T^{12} )^{2} \))(\( 1 - 139878 T^{2} + 8294180007 T^{4} - 267182314202772 T^{6} + 4933571696735543247 T^{8} - \)\(49\!\cdots\!98\)\( T^{10} + \)\(21\!\cdots\!61\)\( T^{12} \))(\( 1 + 32186 T^{2} + 1405063335 T^{4} + 38022140878636 T^{6} + 835764439140035535 T^{8} + \)\(11\!\cdots\!26\)\( T^{10} + \)\(21\!\cdots\!61\)\( T^{12} \))(\( 1 + 32186 T^{2} + 1405063335 T^{4} + 38022140878636 T^{6} + 835764439140035535 T^{8} + \)\(11\!\cdots\!26\)\( T^{10} + \)\(21\!\cdots\!61\)\( T^{12} \))(\( 1 - 139878 T^{2} + 8294180007 T^{4} - 267182314202772 T^{6} + 4933571696735543247 T^{8} - \)\(49\!\cdots\!98\)\( T^{10} + \)\(21\!\cdots\!61\)\( T^{12} \))(\( 1 - 212780 T^{2} + 21795160882 T^{4} - 1430243812574236 T^{6} + 67252455262918907263 T^{8} - \)\(23\!\cdots\!32\)\( T^{10} + \)\(65\!\cdots\!56\)\( T^{12} - \)\(14\!\cdots\!72\)\( T^{14} + \)\(23\!\cdots\!83\)\( T^{16} - \)\(30\!\cdots\!96\)\( T^{18} + \)\(27\!\cdots\!42\)\( T^{20} - \)\(15\!\cdots\!80\)\( T^{22} + \)\(44\!\cdots\!21\)\( T^{24} \))(\( 1 - 98220 T^{2} + 6425703474 T^{4} - 300052057585308 T^{6} + 11319713353099215231 T^{8} - \)\(35\!\cdots\!24\)\( T^{10} + \)\(93\!\cdots\!00\)\( T^{12} - \)\(20\!\cdots\!04\)\( T^{14} + \)\(40\!\cdots\!71\)\( T^{16} - \)\(63\!\cdots\!88\)\( T^{18} + \)\(80\!\cdots\!94\)\( T^{20} - \)\(73\!\cdots\!20\)\( T^{22} + \)\(44\!\cdots\!21\)\( T^{24} \))(\( 1 - 98220 T^{2} + 6425703474 T^{4} - 300052057585308 T^{6} + 11319713353099215231 T^{8} - \)\(35\!\cdots\!24\)\( T^{10} + \)\(93\!\cdots\!00\)\( T^{12} - \)\(20\!\cdots\!04\)\( T^{14} + \)\(40\!\cdots\!71\)\( T^{16} - \)\(63\!\cdots\!88\)\( T^{18} + \)\(80\!\cdots\!94\)\( T^{20} - \)\(73\!\cdots\!20\)\( T^{22} + \)\(44\!\cdots\!21\)\( T^{24} \))(\( 1 - 212780 T^{2} + 21795160882 T^{4} - 1430243812574236 T^{6} + 67252455262918907263 T^{8} - \)\(23\!\cdots\!32\)\( T^{10} + \)\(65\!\cdots\!56\)\( T^{12} - \)\(14\!\cdots\!72\)\( T^{14} + \)\(23\!\cdots\!83\)\( T^{16} - \)\(30\!\cdots\!96\)\( T^{18} + \)\(27\!\cdots\!42\)\( T^{20} - \)\(15\!\cdots\!80\)\( T^{22} + \)\(44\!\cdots\!21\)\( T^{24} \))(\( ( 1 - 71308 T^{2} + 3374019460 T^{4} - 116579513872852 T^{6} + 3222524759003609686 T^{8} - \)\(69\!\cdots\!92\)\( T^{10} + \)\(11\!\cdots\!60\)\( T^{12} - \)\(15\!\cdots\!88\)\( T^{14} + \)\(12\!\cdots\!81\)\( T^{16} )^{2} \))(\( ( 1 - 71308 T^{2} + 3374019460 T^{4} - 116579513872852 T^{6} + 3222524759003609686 T^{8} - \)\(69\!\cdots\!92\)\( T^{10} + \)\(11\!\cdots\!60\)\( T^{12} - \)\(15\!\cdots\!88\)\( T^{14} + \)\(12\!\cdots\!81\)\( T^{16} )^{2} \))
$31$ (\( 1 + 56 T + 29791 T^{2} \))(\( 1 + 144 T + 29791 T^{2} \))(\( 1 - 152 T + 29791 T^{2} \))(\( 1 - 112 T + 29791 T^{2} \))(\( 1 - 256 T + 29791 T^{2} \))(\( 1 + 72 T + 29791 T^{2} \))(\( 1 - 80 T + 29791 T^{2} \))(\( 1 + 64 T + 29791 T^{2} \))(\( 1 - 48 T + 29791 T^{2} \))(\( 1 + 304 T + 29791 T^{2} \))(\( 1 - 224 T + 29791 T^{2} \))(\( 1 + 200 T + 29791 T^{2} \))(\( 1 + 72 T + 29791 T^{2} \))(\( 1 - 160 T + 29791 T^{2} \))(\( 1 - 56 T + 29791 T^{2} \))(\( 1 - 144 T + 29791 T^{2} \))(\( 1 + 112 T + 29791 T^{2} \))(\( 1 + 152 T + 29791 T^{2} \))(\( 1 + 256 T + 29791 T^{2} \))(\( 1 - 72 T + 29791 T^{2} \))(\( 1 - 64 T + 29791 T^{2} \))(\( 1 + 80 T + 29791 T^{2} \))(\( 1 + 48 T + 29791 T^{2} \))(\( 1 + 224 T + 29791 T^{2} \))(\( 1 - 304 T + 29791 T^{2} \))(\( 1 - 200 T + 29791 T^{2} \))(\( 1 + 160 T + 29791 T^{2} \))(\( 1 - 72 T + 29791 T^{2} \))(\( 1 - 296 T + 64286 T^{2} - 8818136 T^{3} + 887503681 T^{4} \))(\( 1 + 136 T + 61374 T^{2} + 4051576 T^{3} + 887503681 T^{4} \))(\( 1 - 112 T + 53950 T^{2} - 3336592 T^{3} + 887503681 T^{4} \))(\( 1 + 232 T + 72862 T^{2} + 6911512 T^{3} + 887503681 T^{4} \))(\( 1 - 40 T - 13890 T^{2} - 1191640 T^{3} + 887503681 T^{4} \))(\( 1 + 184 T + 20094 T^{2} + 5481544 T^{3} + 887503681 T^{4} \))(\( 1 + 96 T - 24386 T^{2} + 2859936 T^{3} + 887503681 T^{4} \))(\( 1 - 88 T + 54718 T^{2} - 2621608 T^{3} + 887503681 T^{4} \))(\( 1 + 296 T + 64286 T^{2} + 8818136 T^{3} + 887503681 T^{4} \))(\( 1 - 136 T + 61374 T^{2} - 4051576 T^{3} + 887503681 T^{4} \))(\( 1 + 112 T + 53950 T^{2} + 3336592 T^{3} + 887503681 T^{4} \))(\( 1 - 232 T + 72862 T^{2} - 6911512 T^{3} + 887503681 T^{4} \))(\( 1 + 40 T - 13890 T^{2} + 1191640 T^{3} + 887503681 T^{4} \))(\( 1 - 184 T + 20094 T^{2} - 5481544 T^{3} + 887503681 T^{4} \))(\( 1 - 96 T - 24386 T^{2} - 2859936 T^{3} + 887503681 T^{4} \))(\( 1 + 88 T + 54718 T^{2} + 2621608 T^{3} + 887503681 T^{4} \))(\( 1 - 72 T + 59229 T^{2} - 1946992 T^{3} + 1764491139 T^{4} - 63900265032 T^{5} + 26439622160671 T^{6} \))(\( 1 + 80 T + 19773 T^{2} - 3933600 T^{3} + 589057443 T^{4} + 71000294480 T^{5} + 26439622160671 T^{6} \))(\( 1 + 72 T + 59229 T^{2} + 1946992 T^{3} + 1764491139 T^{4} + 63900265032 T^{5} + 26439622160671 T^{6} \))(\( 1 - 80 T + 19773 T^{2} + 3933600 T^{3} + 589057443 T^{4} - 71000294480 T^{5} + 26439622160671 T^{6} \))(\( ( 1 + 116 T + 29791 T^{2} )^{2} \))(\( ( 1 - 8 T + 29791 T^{2} )^{2} \))(\( ( 1 + 8 T + 29791 T^{2} )^{2} \))(\( ( 1 - 116 T + 29791 T^{2} )^{2} \))(\( ( 1 + 160 T + 36172 T^{2} - 6186976 T^{3} - 728821786 T^{4} - 184316202016 T^{5} + 32102783149132 T^{6} + 4230339545707360 T^{7} + 787662783788549761 T^{8} )^{2} \))(\( ( 1 - 160 T + 36172 T^{2} + 6186976 T^{3} - 728821786 T^{4} + 184316202016 T^{5} + 32102783149132 T^{6} - 4230339545707360 T^{7} + 787662783788549761 T^{8} )^{2} \))(\( ( 1 - 192 T + 79514 T^{2} - 6935616 T^{3} + 3231616847 T^{4} - 390779082624 T^{5} + 138834590310572 T^{6} - 11641699650451584 T^{7} + 2868071847294113807 T^{8} - \)\(18\!\cdots\!36\)\( T^{9} + \)\(62\!\cdots\!54\)\( T^{10} - \)\(45\!\cdots\!92\)\( T^{11} + \)\(69\!\cdots\!41\)\( T^{12} )^{2} \))(\( ( 1 + 192 T + 79514 T^{2} + 6935616 T^{3} + 3231616847 T^{4} + 390779082624 T^{5} + 138834590310572 T^{6} + 11641699650451584 T^{7} + 2868071847294113807 T^{8} + \)\(18\!\cdots\!36\)\( T^{9} + \)\(62\!\cdots\!54\)\( T^{10} + \)\(45\!\cdots\!92\)\( T^{11} + \)\(69\!\cdots\!41\)\( T^{12} )^{2} \))(\( ( 1 - 276 T + 92193 T^{2} - 15530744 T^{3} + 2746521663 T^{4} - 244951015956 T^{5} + 26439622160671 T^{6} )^{2} \))(\( ( 1 + 52 T + 29105 T^{2} - 3528392 T^{3} + 867067055 T^{4} + 46150191412 T^{5} + 26439622160671 T^{6} )^{2} \))(\( ( 1 - 52 T + 29105 T^{2} + 3528392 T^{3} + 867067055 T^{4} - 46150191412 T^{5} + 26439622160671 T^{6} )^{2} \))(\( ( 1 + 276 T + 92193 T^{2} + 15530744 T^{3} + 2746521663 T^{4} + 244951015956 T^{5} + 26439622160671 T^{6} )^{2} \))(\( ( 1 + 320 T + 121250 T^{2} + 33103680 T^{3} + 7903394047 T^{4} + 1593470391040 T^{5} + 305789005097788 T^{6} + 47471076419472640 T^{7} + 7014291309105987007 T^{8} + \)\(87\!\cdots\!80\)\( T^{9} + \)\(95\!\cdots\!50\)\( T^{10} + \)\(75\!\cdots\!20\)\( T^{11} + \)\(69\!\cdots\!41\)\( T^{12} )^{2} \))(\( ( 1 - 96 T + 112866 T^{2} - 8611744 T^{3} + 6574544127 T^{4} - 420214284864 T^{5} + 241159894439100 T^{6} - 12518603760383424 T^{7} + 5834932113609431487 T^{8} - \)\(22\!\cdots\!24\)\( T^{9} + \)\(88\!\cdots\!26\)\( T^{10} - \)\(22\!\cdots\!96\)\( T^{11} + \)\(69\!\cdots\!41\)\( T^{12} )^{2} \))(\( ( 1 + 96 T + 112866 T^{2} + 8611744 T^{3} + 6574544127 T^{4} + 420214284864 T^{5} + 241159894439100 T^{6} + 12518603760383424 T^{7} + 5834932113609431487 T^{8} + \)\(22\!\cdots\!24\)\( T^{9} + \)\(88\!\cdots\!26\)\( T^{10} + \)\(22\!\cdots\!96\)\( T^{11} + \)\(69\!\cdots\!41\)\( T^{12} )^{2} \))(\( ( 1 - 320 T + 121250 T^{2} - 33103680 T^{3} + 7903394047 T^{4} - 1593470391040 T^{5} + 305789005097788 T^{6} - 47471076419472640 T^{7} + 7014291309105987007 T^{8} - \)\(87\!\cdots\!80\)\( T^{9} + \)\(95\!\cdots\!50\)\( T^{10} - \)\(75\!\cdots\!20\)\( T^{11} + \)\(69\!\cdots\!41\)\( T^{12} )^{2} \))(\( ( 1 + 95708 T^{2} + 5561509204 T^{4} + 214758483699620 T^{6} + 7040958502103942998 T^{8} + \)\(19\!\cdots\!20\)\( T^{10} + \)\(43\!\cdots\!44\)\( T^{12} + \)\(66\!\cdots\!28\)\( T^{14} + \)\(62\!\cdots\!21\)\( T^{16} )^{2} \))(\( ( 1 + 95708 T^{2} + 5561509204 T^{4} + 214758483699620 T^{6} + 7040958502103942998 T^{8} + \)\(19\!\cdots\!20\)\( T^{10} + \)\(43\!\cdots\!44\)\( T^{12} + \)\(66\!\cdots\!28\)\( T^{14} + \)\(62\!\cdots\!21\)\( T^{16} )^{2} \))
$37$ (\( 1 - 34 T + 50653 T^{2} \))(\( 1 + 158 T + 50653 T^{2} \))(\( 1 - 146 T + 50653 T^{2} \))(\( 1 - 178 T + 50653 T^{2} \))(\( 1 - 86 T + 50653 T^{2} \))(\( 1 + 398 T + 50653 T^{2} \))(\( 1 - 290 T + 50653 T^{2} \))(\( 1 - 306 T + 50653 T^{2} \))(\( 1 - 246 T + 50653 T^{2} \))(\( 1 - 114 T + 50653 T^{2} \))(\( 1 + 94 T + 50653 T^{2} \))(\( 1 - 150 T + 50653 T^{2} \))(\( 1 - 354 T + 50653 T^{2} \))(\( 1 + 398 T + 50653 T^{2} \))(\( 1 - 34 T + 50653 T^{2} \))(\( 1 + 158 T + 50653 T^{2} \))(\( 1 - 178 T + 50653 T^{2} \))(\( 1 - 146 T + 50653 T^{2} \))(\( 1 - 86 T + 50653 T^{2} \))(\( 1 + 398 T + 50653 T^{2} \))(\( 1 - 306 T + 50653 T^{2} \))(\( 1 - 290 T + 50653 T^{2} \))(\( 1 - 246 T + 50653 T^{2} \))(\( 1 + 94 T + 50653 T^{2} \))(\( 1 - 114 T + 50653 T^{2} \))(\( 1 - 150 T + 50653 T^{2} \))(\( 1 + 398 T + 50653 T^{2} \))(\( 1 - 354 T + 50653 T^{2} \))(\( 1 + 172 T + 64670 T^{2} + 8712316 T^{3} + 2565726409 T^{4} \))(\( 1 - 24 T - 18202 T^{2} - 1215672 T^{3} + 2565726409 T^{4} \))(\( 1 + 48 T + 75030 T^{2} + 2431344 T^{3} + 2565726409 T^{4} \))(\( 1 - 180 T + 64350 T^{2} - 9117540 T^{3} + 2565726409 T^{4} \))(\( 1 - 248 T + 98214 T^{2} - 12561944 T^{3} + 2565726409 T^{4} \))(\( 1 + 84 T + 43870 T^{2} + 4254852 T^{3} + 2565726409 T^{4} \))(\( 1 + 504 T + 163462 T^{2} + 25529112 T^{3} + 2565726409 T^{4} \))(\( 1 + 288 T + 118710 T^{2} + 14588064 T^{3} + 2565726409 T^{4} \))(\( 1 + 172 T + 64670 T^{2} + 8712316 T^{3} + 2565726409 T^{4} \))(\( 1 - 24 T - 18202 T^{2} - 1215672 T^{3} + 2565726409 T^{4} \))(\( 1 + 48 T + 75030 T^{2} + 2431344 T^{3} + 2565726409 T^{4} \))(\( 1 - 180 T + 64350 T^{2} - 9117540 T^{3} + 2565726409 T^{4} \))(\( 1 - 248 T + 98214 T^{2} - 12561944 T^{3} + 2565726409 T^{4} \))(\( 1 + 84 T + 43870 T^{2} + 4254852 T^{3} + 2565726409 T^{4} \))(\( 1 + 504 T + 163462 T^{2} + 25529112 T^{3} + 2565726409 T^{4} \))(\( 1 + 288 T + 118710 T^{2} + 14588064 T^{3} + 2565726409 T^{4} \))(\( 1 + 210 T + 159891 T^{2} + 21220684 T^{3} + 8098958823 T^{4} + 538802545890 T^{5} + 129961739795077 T^{6} \))(\( 1 + 10 T + 97699 T^{2} - 3965700 T^{3} + 4948747447 T^{4} + 25657264090 T^{5} + 129961739795077 T^{6} \))(\( 1 + 210 T + 159891 T^{2} + 21220684 T^{3} + 8098958823 T^{4} + 538802545890 T^{5} + 129961739795077 T^{6} \))(\( 1 + 10 T + 97699 T^{2} - 3965700 T^{3} + 4948747447 T^{4} + 25657264090 T^{5} + 129961739795077 T^{6} \))(\( ( 1 - 314 T + 50653 T^{2} )^{2} \))(\( ( 1 + 244 T + 50653 T^{2} )^{2} \))(\( ( 1 + 244 T + 50653 T^{2} )^{2} \))(\( ( 1 - 314 T + 50653 T^{2} )^{2} \))(\( ( 1 + 196 T + 70696 T^{2} + 15303292 T^{3} + 2331128254 T^{4} + 775157649676 T^{5} + 181386594210664 T^{6} + 25472500999835092 T^{7} + 6582952005840035281 T^{8} )^{2} \))(\( ( 1 + 196 T + 70696 T^{2} + 15303292 T^{3} + 2331128254 T^{4} + 775157649676 T^{5} + 181386594210664 T^{6} + 25472500999835092 T^{7} + 6582952005840035281 T^{8} )^{2} \))(\( ( 1 - 122 T + 230498 T^{2} - 34280946 T^{3} + 23640098487 T^{4} - 3642512537420 T^{5} + 1472029170650908 T^{6} - 184504187557935260 T^{7} + 60654024999456843183 T^{8} - \)\(44\!\cdots\!42\)\( T^{9} + \)\(15\!\cdots\!38\)\( T^{10} - \)\(40\!\cdots\!46\)\( T^{11} + \)\(16\!\cdots\!29\)\( T^{12} )^{2} \))(\( ( 1 - 122 T + 230498 T^{2} - 34280946 T^{3} + 23640098487 T^{4} - 3642512537420 T^{5} + 1472029170650908 T^{6} - 184504187557935260 T^{7} + 60654024999456843183 T^{8} - \)\(44\!\cdots\!42\)\( T^{9} + \)\(15\!\cdots\!38\)\( T^{10} - \)\(40\!\cdots\!46\)\( T^{11} + \)\(16\!\cdots\!29\)\( T^{12} )^{2} \))(\( 1 - 294102 T^{2} + 36507613047 T^{4} - 2449192702016884 T^{6} + 93668546924240858223 T^{8} - \)\(19\!\cdots\!62\)\( T^{10} + \)\(16\!\cdots\!29\)\( T^{12} \))(\( 1 - 31254 T^{2} + 1099258743 T^{4} - 76789777860340 T^{6} + 2820397187239243887 T^{8} - \)\(20\!\cdots\!74\)\( T^{10} + \)\(16\!\cdots\!29\)\( T^{12} \))(\( 1 - 31254 T^{2} + 1099258743 T^{4} - 76789777860340 T^{6} + 2820397187239243887 T^{8} - \)\(20\!\cdots\!74\)\( T^{10} + \)\(16\!\cdots\!29\)\( T^{12} \))(\( 1 - 294102 T^{2} + 36507613047 T^{4} - 2449192702016884 T^{6} + 93668546924240858223 T^{8} - \)\(19\!\cdots\!62\)\( T^{10} + \)\(16\!\cdots\!29\)\( T^{12} \))(\( 1 - 292716 T^{2} + 46276507218 T^{4} - 5133777658626716 T^{6} + \)\(43\!\cdots\!27\)\( T^{8} - \)\(29\!\cdots\!96\)\( T^{10} + \)\(16\!\cdots\!92\)\( T^{12} - \)\(76\!\cdots\!64\)\( T^{14} + \)\(28\!\cdots\!87\)\( T^{16} - \)\(86\!\cdots\!64\)\( T^{18} + \)\(20\!\cdots\!98\)\( T^{20} - \)\(32\!\cdots\!84\)\( T^{22} + \)\(28\!\cdots\!41\)\( T^{24} \))(\( 1 - 237420 T^{2} + 32093021778 T^{4} - 3089673587460764 T^{6} + \)\(23\!\cdots\!83\)\( T^{8} - \)\(15\!\cdots\!60\)\( T^{10} + \)\(83\!\cdots\!52\)\( T^{12} - \)\(38\!\cdots\!40\)\( T^{14} + \)\(15\!\cdots\!23\)\( T^{16} - \)\(52\!\cdots\!56\)\( T^{18} + \)\(13\!\cdots\!58\)\( T^{20} - \)\(26\!\cdots\!80\)\( T^{22} + \)\(28\!\cdots\!41\)\( T^{24} \))(\( 1 - 237420 T^{2} + 32093021778 T^{4} - 3089673587460764 T^{6} + \)\(23\!\cdots\!83\)\( T^{8} - \)\(15\!\cdots\!60\)\( T^{10} + \)\(83\!\cdots\!52\)\( T^{12} - \)\(38\!\cdots\!40\)\( T^{14} + \)\(15\!\cdots\!23\)\( T^{16} - \)\(52\!\cdots\!56\)\( T^{18} + \)\(13\!\cdots\!58\)\( T^{20} - \)\(26\!\cdots\!80\)\( T^{22} + \)\(28\!\cdots\!41\)\( T^{24} \))(\( 1 - 292716 T^{2} + 46276507218 T^{4} - 5133777658626716 T^{6} + \)\(43\!\cdots\!27\)\( T^{8} - \)\(29\!\cdots\!96\)\( T^{10} + \)\(16\!\cdots\!92\)\( T^{12} - \)\(76\!\cdots\!64\)\( T^{14} + \)\(28\!\cdots\!87\)\( T^{16} - \)\(86\!\cdots\!64\)\( T^{18} + \)\(20\!\cdots\!98\)\( T^{20} - \)\(32\!\cdots\!84\)\( T^{22} + \)\(28\!\cdots\!41\)\( T^{24} \))(\( ( 1 - 196712 T^{2} + 17989329916 T^{4} - 1038339888789656 T^{6} + 51360969018040358182 T^{8} - \)\(26\!\cdots\!04\)\( T^{10} + \)\(11\!\cdots\!96\)\( T^{12} - \)\(33\!\cdots\!48\)\( T^{14} + \)\(43\!\cdots\!61\)\( T^{16} )^{2} \))(\( ( 1 - 196712 T^{2} + 17989329916 T^{4} - 1038339888789656 T^{6} + 51360969018040358182 T^{8} - \)\(26\!\cdots\!04\)\( T^{10} + \)\(11\!\cdots\!96\)\( T^{12} - \)\(33\!\cdots\!48\)\( T^{14} + \)\(43\!\cdots\!61\)\( T^{16} )^{2} \))
$41$ (\( 1 - 6 T + 68921 T^{2} \))(\( 1 + 390 T + 68921 T^{2} \))(\( 1 - 94 T + 68921 T^{2} \))(\( 1 - 378 T + 68921 T^{2} \))(\( 1 - 160 T + 68921 T^{2} \))(\( 1 - 462 T + 68921 T^{2} \))(\( 1 + 374 T + 68921 T^{2} \))(\( 1 - 50 T + 68921 T^{2} \))(\( 1 + 248 T + 68921 T^{2} \))(\( 1 - 202 T + 68921 T^{2} \))(\( 1 + 478 T + 68921 T^{2} \))(\( 1 - 172 T + 68921 T^{2} \))(\( 1 - 334 T + 68921 T^{2} \))(\( 1 + 318 T + 68921 T^{2} \))(\( 1 - 6 T + 68921 T^{2} \))(\( 1 + 390 T + 68921 T^{2} \))(\( 1 - 378 T + 68921 T^{2} \))(\( 1 - 94 T + 68921 T^{2} \))(\( 1 - 160 T + 68921 T^{2} \))(\( 1 - 462 T + 68921 T^{2} \))(\( 1 - 50 T + 68921 T^{2} \))(\( 1 + 374 T + 68921 T^{2} \))(\( 1 + 248 T + 68921 T^{2} \))(\( 1 + 478 T + 68921 T^{2} \))(\( 1 - 202 T + 68921 T^{2} \))(\( 1 - 172 T + 68921 T^{2} \))(\( 1 + 318 T + 68921 T^{2} \))(\( 1 - 334 T + 68921 T^{2} \))(\( 1 - 224 T + 129574 T^{2} - 15438304 T^{3} + 4750104241 T^{4} \))(\( 1 - 694 T + 243914 T^{2} - 47831174 T^{3} + 4750104241 T^{4} \))(\( 1 + 70 T + 138930 T^{2} + 4824470 T^{3} + 4750104241 T^{4} \))(\( 1 + 344 T + 107190 T^{2} + 23708824 T^{3} + 4750104241 T^{4} \))(\( 1 + 450 T + 175642 T^{2} + 31014450 T^{3} + 4750104241 T^{4} \))(\( 1 - 52 T + 137186 T^{2} - 3583892 T^{3} + 4750104241 T^{4} \))(\( 1 + 102 T + 99666 T^{2} + 7029942 T^{3} + 4750104241 T^{4} \))(\( 1 + 386 T + 111834 T^{2} + 26603506 T^{3} + 4750104241 T^{4} \))(\( 1 - 224 T + 129574 T^{2} - 15438304 T^{3} + 4750104241 T^{4} \))(\( 1 - 694 T + 243914 T^{2} - 47831174 T^{3} + 4750104241 T^{4} \))(\( 1 + 70 T + 138930 T^{2} + 4824470 T^{3} + 4750104241 T^{4} \))(\( 1 + 344 T + 107190 T^{2} + 23708824 T^{3} + 4750104241 T^{4} \))(\( 1 + 450 T + 175642 T^{2} + 31014450 T^{3} + 4750104241 T^{4} \))(\( 1 - 52 T + 137186 T^{2} - 3583892 T^{3} + 4750104241 T^{4} \))(\( 1 + 102 T + 99666 T^{2} + 7029942 T^{3} + 4750104241 T^{4} \))(\( 1 + 386 T + 111834 T^{2} + 26603506 T^{3} + 4750104241 T^{4} \))(\( 1 - 414 T + 225219 T^{2} - 52108924 T^{3} + 15522318699 T^{4} - 1966543155774 T^{5} + 327381934393961 T^{6} \))(\( 1 - 390 T + 157663 T^{2} - 32399780 T^{3} + 10866291623 T^{4} - 1852540653990 T^{5} + 327381934393961 T^{6} \))(\( 1 - 414 T + 225219 T^{2} - 52108924 T^{3} + 15522318699 T^{4} - 1966543155774 T^{5} + 327381934393961 T^{6} \))(\( 1 - 390 T + 157663 T^{2} - 32399780 T^{3} + 10866291623 T^{4} - 1852540653990 T^{5} + 327381934393961 T^{6} \))(\( 1 - 64834 T^{2} + 4750104241 T^{4} \))(\( 1 - 1036 T^{2} + 4750104241 T^{4} \))(\( 1 - 1036 T^{2} + 4750104241 T^{4} \))(\( 1 - 64834 T^{2} + 4750104241 T^{4} \))(\( 1 - 237772 T^{2} + 34664599288 T^{4} - 3564171608723332 T^{6} + \)\(28\!\cdots\!46\)\( T^{8} - \)\(16\!\cdots\!12\)\( T^{10} + \)\(78\!\cdots\!28\)\( T^{12} - \)\(25\!\cdots\!12\)\( T^{14} + \)\(50\!\cdots\!61\)\( T^{16} \))(\( 1 - 237772 T^{2} + 34664599288 T^{4} - 3564171608723332 T^{6} + \)\(28\!\cdots\!46\)\( T^{8} - \)\(16\!\cdots\!12\)\( T^{10} + \)\(78\!\cdots\!28\)\( T^{12} - \)\(25\!\cdots\!12\)\( T^{14} + \)\(50\!\cdots\!61\)\( T^{16} \))(\( 1 - 453906 T^{2} + 91605366794 T^{4} - 10752866720419890 T^{6} + \)\(81\!\cdots\!67\)\( T^{8} - \)\(44\!\cdots\!16\)\( T^{10} + \)\(24\!\cdots\!00\)\( T^{12} - \)\(21\!\cdots\!56\)\( T^{14} + \)\(18\!\cdots\!27\)\( T^{16} - \)\(11\!\cdots\!90\)\( T^{18} + \)\(46\!\cdots\!34\)\( T^{20} - \)\(10\!\cdots\!06\)\( T^{22} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 - 453906 T^{2} + 91605366794 T^{4} - 10752866720419890 T^{6} + \)\(81\!\cdots\!67\)\( T^{8} - \)\(44\!\cdots\!16\)\( T^{10} + \)\(24\!\cdots\!00\)\( T^{12} - \)\(21\!\cdots\!56\)\( T^{14} + \)\(18\!\cdots\!27\)\( T^{16} - \)\(11\!\cdots\!90\)\( T^{18} + \)\(46\!\cdots\!34\)\( T^{20} - \)\(10\!\cdots\!06\)\( T^{22} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( ( 1 + 136 T + 73301 T^{2} + 9195708 T^{3} + 5051978221 T^{4} + 646014176776 T^{5} + 327381934393961 T^{6} )^{2} \))(\( ( 1 + 108 T + 198893 T^{2} + 14030484 T^{3} + 13707904453 T^{4} + 513011258028 T^{5} + 327381934393961 T^{6} )^{2} \))(\( ( 1 + 108 T + 198893 T^{2} + 14030484 T^{3} + 13707904453 T^{4} + 513011258028 T^{5} + 327381934393961 T^{6} )^{2} \))(\( ( 1 + 136 T + 73301 T^{2} + 9195708 T^{3} + 5051978221 T^{4} + 646014176776 T^{5} + 327381934393961 T^{6} )^{2} \))(\( ( 1 - 708 T + 443578 T^{2} - 200865780 T^{3} + 77935799811 T^{4} - 25054490358744 T^{5} + 7190373028070852 T^{6} - 1726780530014995224 T^{7} + \)\(37\!\cdots\!51\)\( T^{8} - \)\(65\!\cdots\!80\)\( T^{9} + \)\(10\!\cdots\!18\)\( T^{10} - \)\(11\!\cdots\!08\)\( T^{11} + \)\(10\!\cdots\!21\)\( T^{12} )^{2} \))(\( ( 1 - 244 T + 266426 T^{2} - 59050244 T^{3} + 30838004163 T^{4} - 6498881663192 T^{5} + 2376308167684036 T^{6} - 447909423108855832 T^{7} + \)\(14\!\cdots\!83\)\( T^{8} - \)\(19\!\cdots\!84\)\( T^{9} + \)\(60\!\cdots\!06\)\( T^{10} - \)\(37\!\cdots\!44\)\( T^{11} + \)\(10\!\cdots\!21\)\( T^{12} )^{2} \))(\( ( 1 - 244 T + 266426 T^{2} - 59050244 T^{3} + 30838004163 T^{4} - 6498881663192 T^{5} + 2376308167684036 T^{6} - 447909423108855832 T^{7} + \)\(14\!\cdots\!83\)\( T^{8} - \)\(19\!\cdots\!84\)\( T^{9} + \)\(60\!\cdots\!06\)\( T^{10} - \)\(37\!\cdots\!44\)\( T^{11} + \)\(10\!\cdots\!21\)\( T^{12} )^{2} \))(\( ( 1 - 708 T + 443578 T^{2} - 200865780 T^{3} + 77935799811 T^{4} - 25054490358744 T^{5} + 7190373028070852 T^{6} - 1726780530014995224 T^{7} + \)\(37\!\cdots\!51\)\( T^{8} - \)\(65\!\cdots\!80\)\( T^{9} + \)\(10\!\cdots\!18\)\( T^{10} - \)\(11\!\cdots\!08\)\( T^{11} + \)\(10\!\cdots\!21\)\( T^{12} )^{2} \))(\( ( 1 - 124264 T^{2} + 22059652780 T^{4} - 1658559974576488 T^{6} + \)\(16\!\cdots\!30\)\( T^{8} - \)\(78\!\cdots\!08\)\( T^{10} + \)\(49\!\cdots\!80\)\( T^{12} - \)\(13\!\cdots\!44\)\( T^{14} + \)\(50\!\cdots\!61\)\( T^{16} )^{2} \))(\( ( 1 - 124264 T^{2} + 22059652780 T^{4} - 1658559974576488 T^{6} + \)\(16\!\cdots\!30\)\( T^{8} - \)\(78\!\cdots\!08\)\( T^{10} + \)\(49\!\cdots\!80\)\( T^{12} - \)\(13\!\cdots\!44\)\( T^{14} + \)\(50\!\cdots\!61\)\( T^{16} )^{2} \))
$43$ (\( 1 - 164 T + 79507 T^{2} \))(\( 1 - 508 T + 79507 T^{2} \))(\( 1 - 488 T + 79507 T^{2} \))(\( 1 + 172 T + 79507 T^{2} \))(\( 1 + 220 T + 79507 T^{2} \))(\( 1 + 212 T + 79507 T^{2} \))(\( 1 + 164 T + 79507 T^{2} \))(\( 1 - 20 T + 79507 T^{2} \))(\( 1 - 68 T + 79507 T^{2} \))(\( 1 - 116 T + 79507 T^{2} \))(\( 1 - 316 T + 79507 T^{2} \))(\( 1 + 164 T + 79507 T^{2} \))(\( 1 - 416 T + 79507 T^{2} \))(\( 1 + 268 T + 79507 T^{2} \))(\( 1 + 164 T + 79507 T^{2} \))(\( 1 + 508 T + 79507 T^{2} \))(\( 1 - 172 T + 79507 T^{2} \))(\( 1 + 488 T + 79507 T^{2} \))(\( 1 - 220 T + 79507 T^{2} \))(\( 1 - 212 T + 79507 T^{2} \))(\( 1 + 20 T + 79507 T^{2} \))(\( 1 - 164 T + 79507 T^{2} \))(\( 1 + 68 T + 79507 T^{2} \))(\( 1 + 316 T + 79507 T^{2} \))(\( 1 + 116 T + 79507 T^{2} \))(\( 1 - 164 T + 79507 T^{2} \))(\( 1 - 268 T + 79507 T^{2} \))(\( 1 + 416 T + 79507 T^{2} \))(\( 1 + 144 T + 120166 T^{2} + 11449008 T^{3} + 6321363049 T^{4} \))(\( 1 - 584 T + 232950 T^{2} - 46432088 T^{3} + 6321363049 T^{4} \))(\( 1 + 40 T + 104614 T^{2} + 3180280 T^{3} + 6321363049 T^{4} \))(\( 1 + 224 T + 101158 T^{2} + 17809568 T^{3} + 6321363049 T^{4} \))(\( 1 + 376 T + 161526 T^{2} + 29894632 T^{3} + 6321363049 T^{4} \))(\( 1 + 384 T + 157990 T^{2} + 30530688 T^{3} + 6321363049 T^{4} \))(\( 1 - 296 T + 94646 T^{2} - 23534072 T^{3} + 6321363049 T^{4} \))(\( 1 - 344 T + 90406 T^{2} - 27350408 T^{3} + 6321363049 T^{4} \))(\( 1 - 144 T + 120166 T^{2} - 11449008 T^{3} + 6321363049 T^{4} \))(\( 1 + 584 T + 232950 T^{2} + 46432088 T^{3} + 6321363049 T^{4} \))(\( 1 - 40 T + 104614 T^{2} - 3180280 T^{3} + 6321363049 T^{4} \))(\( 1 - 224 T + 101158 T^{2} - 17809568 T^{3} + 6321363049 T^{4} \))(\( 1 - 376 T + 161526 T^{2} - 29894632 T^{3} + 6321363049 T^{4} \))(\( 1 - 384 T + 157990 T^{2} - 30530688 T^{3} + 6321363049 T^{4} \))(\( 1 + 296 T + 94646 T^{2} + 23534072 T^{3} + 6321363049 T^{4} \))(\( 1 + 344 T + 90406 T^{2} + 27350408 T^{3} + 6321363049 T^{4} \))(\( 1 + 168 T + 220857 T^{2} + 25991408 T^{3} + 17559677499 T^{4} + 1061988992232 T^{5} + 502592611936843 T^{6} \))(\( 1 + 784 T + 422073 T^{2} + 137106528 T^{3} + 33557758011 T^{4} + 4955948630416 T^{5} + 502592611936843 T^{6} \))(\( 1 - 168 T + 220857 T^{2} - 25991408 T^{3} + 17559677499 T^{4} - 1061988992232 T^{5} + 502592611936843 T^{6} \))(\( 1 - 784 T + 422073 T^{2} - 137106528 T^{3} + 33557758011 T^{4} - 4955948630416 T^{5} + 502592611936843 T^{6} \))(\( 1 - 16442 T^{2} + 6321363049 T^{4} \))(\( 1 - 132878 T^{2} + 6321363049 T^{4} \))(\( 1 - 132878 T^{2} + 6321363049 T^{4} \))(\( 1 - 16442 T^{2} + 6321363049 T^{4} \))(\( 1 - 273872 T^{2} + 34345238716 T^{4} - 2691741399065264 T^{6} + \)\(18\!\cdots\!22\)\( T^{8} - \)\(17\!\cdots\!36\)\( T^{10} + \)\(13\!\cdots\!16\)\( T^{12} - \)\(69\!\cdots\!28\)\( T^{14} + \)\(15\!\cdots\!01\)\( T^{16} \))(\( 1 - 273872 T^{2} + 34345238716 T^{4} - 2691741399065264 T^{6} + \)\(18\!\cdots\!22\)\( T^{8} - \)\(17\!\cdots\!36\)\( T^{10} + \)\(13\!\cdots\!16\)\( T^{12} - \)\(69\!\cdots\!28\)\( T^{14} + \)\(15\!\cdots\!01\)\( T^{16} \))(\( 1 - 625992 T^{2} + 191021018714 T^{4} - 37826754729984360 T^{6} + \)\(54\!\cdots\!51\)\( T^{8} - \)\(60\!\cdots\!88\)\( T^{10} + \)\(53\!\cdots\!68\)\( T^{12} - \)\(38\!\cdots\!12\)\( T^{14} + \)\(21\!\cdots\!51\)\( T^{16} - \)\(95\!\cdots\!40\)\( T^{18} + \)\(30\!\cdots\!14\)\( T^{20} - \)\(63\!\cdots\!08\)\( T^{22} + \)\(63\!\cdots\!01\)\( T^{24} \))(\( 1 - 625992 T^{2} + 191021018714 T^{4} - 37826754729984360 T^{6} + \)\(54\!\cdots\!51\)\( T^{8} - \)\(60\!\cdots\!88\)\( T^{10} + \)\(53\!\cdots\!68\)\( T^{12} - \)\(38\!\cdots\!12\)\( T^{14} + \)\(21\!\cdots\!51\)\( T^{16} - \)\(95\!\cdots\!40\)\( T^{18} + \)\(30\!\cdots\!14\)\( T^{20} - \)\(63\!\cdots\!08\)\( T^{22} + \)\(63\!\cdots\!01\)\( T^{24} \))(\( 1 - 402630 T^{2} + 72488318535 T^{4} - 7436672769249652 T^{6} + \)\(45\!\cdots\!15\)\( T^{8} - \)\(16\!\cdots\!30\)\( T^{10} + \)\(25\!\cdots\!49\)\( T^{12} \))(\( 1 - 211270 T^{2} + 27158501447 T^{4} - 2374881802425460 T^{6} + \)\(17\!\cdots\!03\)\( T^{8} - \)\(84\!\cdots\!70\)\( T^{10} + \)\(25\!\cdots\!49\)\( T^{12} \))(\( 1 - 211270 T^{2} + 27158501447 T^{4} - 2374881802425460 T^{6} + \)\(17\!\cdots\!03\)\( T^{8} - \)\(84\!\cdots\!70\)\( T^{10} + \)\(25\!\cdots\!49\)\( T^{12} \))(\( 1 - 402630 T^{2} + 72488318535 T^{4} - 7436672769249652 T^{6} + \)\(45\!\cdots\!15\)\( T^{8} - \)\(16\!\cdots\!30\)\( T^{10} + \)\(25\!\cdots\!49\)\( T^{12} \))(\( 1 - 598220 T^{2} + 168838027826 T^{4} - 29871703433380092 T^{6} + \)\(37\!\cdots\!11\)\( T^{8} - \)\(37\!\cdots\!00\)\( T^{10} + \)\(31\!\cdots\!68\)\( T^{12} - \)\(23\!\cdots\!00\)\( T^{14} + \)\(15\!\cdots\!11\)\( T^{16} - \)\(75\!\cdots\!08\)\( T^{18} + \)\(26\!\cdots\!26\)\( T^{20} - \)\(60\!\cdots\!80\)\( T^{22} + \)\(63\!\cdots\!01\)\( T^{24} \))(\( 1 - 56652 T^{2} + 9023774514 T^{4} - 486512588539772 T^{6} + 62451612834817875807 T^{8} - \)\(52\!\cdots\!60\)\( T^{10} + \)\(35\!\cdots\!92\)\( T^{12} - \)\(33\!\cdots\!40\)\( T^{14} + \)\(24\!\cdots\!07\)\( T^{16} - \)\(12\!\cdots\!28\)\( T^{18} + \)\(14\!\cdots\!14\)\( T^{20} - \)\(57\!\cdots\!48\)\( T^{22} + \)\(63\!\cdots\!01\)\( T^{24} \))(\( 1 - 56652 T^{2} + 9023774514 T^{4} - 486512588539772 T^{6} + 62451612834817875807 T^{8} - \)\(52\!\cdots\!60\)\( T^{10} + \)\(35\!\cdots\!92\)\( T^{12} - \)\(33\!\cdots\!40\)\( T^{14} + \)\(24\!\cdots\!07\)\( T^{16} - \)\(12\!\cdots\!28\)\( T^{18} + \)\(14\!\cdots\!14\)\( T^{20} - \)\(57\!\cdots\!48\)\( T^{22} + \)\(63\!\cdots\!01\)\( T^{24} \))(\( 1 - 598220 T^{2} + 168838027826 T^{4} - 29871703433380092 T^{6} + \)\(37\!\cdots\!11\)\( T^{8} - \)\(37\!\cdots\!00\)\( T^{10} + \)\(31\!\cdots\!68\)\( T^{12} - \)\(23\!\cdots\!00\)\( T^{14} + \)\(15\!\cdots\!11\)\( T^{16} - \)\(75\!\cdots\!08\)\( T^{18} + \)\(26\!\cdots\!26\)\( T^{20} - \)\(60\!\cdots\!80\)\( T^{22} + \)\(63\!\cdots\!01\)\( T^{24} \))(\( ( 1 + 467684 T^{2} + 101399108356 T^{4} + 13660925349814652 T^{6} + \)\(12\!\cdots\!54\)\( T^{8} + \)\(86\!\cdots\!48\)\( T^{10} + \)\(40\!\cdots\!56\)\( T^{12} + \)\(11\!\cdots\!16\)\( T^{14} + \)\(15\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 + 467684 T^{2} + 101399108356 T^{4} + 13660925349814652 T^{6} + \)\(12\!\cdots\!54\)\( T^{8} + \)\(86\!\cdots\!48\)\( T^{10} + \)\(40\!\cdots\!56\)\( T^{12} + \)\(11\!\cdots\!16\)\( T^{14} + \)\(15\!\cdots\!01\)\( T^{16} )^{2} \))
$47$ (\( 1 + 168 T + 103823 T^{2} \))(\( 1 + 528 T + 103823 T^{2} \))(\( 1 - 32 T + 103823 T^{2} \))(\( 1 - 192 T + 103823 T^{2} \))(\( 1 + 308 T + 103823 T^{2} \))(\( 1 + 264 T + 103823 T^{2} \))(\( 1 - 464 T + 103823 T^{2} \))(\( 1 - 176 T + 103823 T^{2} \))(\( 1 + 324 T + 103823 T^{2} \))(\( 1 + 224 T + 103823 T^{2} \))(\( 1 - 256 T + 103823 T^{2} \))(\( 1 + 460 T + 103823 T^{2} \))(\( 1 + 464 T + 103823 T^{2} \))(\( 1 + 240 T + 103823 T^{2} \))(\( 1 - 168 T + 103823 T^{2} \))(\( 1 - 528 T + 103823 T^{2} \))(\( 1 + 192 T + 103823 T^{2} \))(\( 1 + 32 T + 103823 T^{2} \))(\( 1 - 308 T + 103823 T^{2} \))(\( 1 - 264 T + 103823 T^{2} \))(\( 1 + 176 T + 103823 T^{2} \))(\( 1 + 464 T + 103823 T^{2} \))(\( 1 - 324 T + 103823 T^{2} \))(\( 1 + 256 T + 103823 T^{2} \))(\( 1 - 224 T + 103823 T^{2} \))(\( 1 - 460 T + 103823 T^{2} \))(\( 1 - 240 T + 103823 T^{2} \))(\( 1 - 464 T + 103823 T^{2} \))(\( 1 - 344 T + 231038 T^{2} - 35715112 T^{3} + 10779215329 T^{4} \))(\( 1 + 316 T + 231902 T^{2} + 32808068 T^{3} + 10779215329 T^{4} \))(\( 1 - 420 T + 93374 T^{2} - 43605660 T^{3} + 10779215329 T^{4} \))(\( 1 + 312 T + 121982 T^{2} + 32392776 T^{3} + 10779215329 T^{4} \))(\( 1 + 12 T + 141790 T^{2} + 1245876 T^{3} + 10779215329 T^{4} \))(\( 1 + 64 T - 5042 T^{2} + 6644672 T^{3} + 10779215329 T^{4} \))(\( 1 - 780 T + 326046 T^{2} - 80981940 T^{3} + 10779215329 T^{4} \))(\( 1 + 276 T + 20990 T^{2} + 28655148 T^{3} + 10779215329 T^{4} \))(\( 1 + 344 T + 231038 T^{2} + 35715112 T^{3} + 10779215329 T^{4} \))(\( 1 - 316 T + 231902 T^{2} - 32808068 T^{3} + 10779215329 T^{4} \))(\( 1 + 420 T + 93374 T^{2} + 43605660 T^{3} + 10779215329 T^{4} \))(\( 1 - 312 T + 121982 T^{2} - 32392776 T^{3} + 10779215329 T^{4} \))(\( 1 - 12 T + 141790 T^{2} - 1245876 T^{3} + 10779215329 T^{4} \))(\( 1 - 64 T - 5042 T^{2} - 6644672 T^{3} + 10779215329 T^{4} \))(\( 1 + 780 T + 326046 T^{2} + 80981940 T^{3} + 10779215329 T^{4} \))(\( 1 - 276 T + 20990 T^{2} - 28655148 T^{3} + 10779215329 T^{4} \))(\( 1 - 72 T + 159069 T^{2} - 32075248 T^{3} + 16515020787 T^{4} - 776103503688 T^{5} + 1119130473102767 T^{6} \))(\( 1 - 248 T + 330637 T^{2} - 51948304 T^{3} + 34327725251 T^{4} - 2673245401592 T^{5} + 1119130473102767 T^{6} \))(\( 1 + 72 T + 159069 T^{2} + 32075248 T^{3} + 16515020787 T^{4} + 776103503688 T^{5} + 1119130473102767 T^{6} \))(\( 1 + 248 T + 330637 T^{2} + 51948304 T^{3} + 34327725251 T^{4} + 2673245401592 T^{5} + 1119130473102767 T^{6} \))(\( ( 1 - 192 T + 103823 T^{2} )^{2} \))(\( ( 1 + 180 T + 103823 T^{2} )^{2} \))(\( ( 1 - 180 T + 103823 T^{2} )^{2} \))(\( ( 1 + 192 T + 103823 T^{2} )^{2} \))(\( ( 1 - 408 T + 266828 T^{2} - 62051256 T^{3} + 32091577638 T^{4} - 6442347551688 T^{5} + 2876196467806412 T^{6} - 456605233025928936 T^{7} + \)\(11\!\cdots\!41\)\( T^{8} )^{2} \))(\( ( 1 + 408 T + 266828 T^{2} + 62051256 T^{3} + 32091577638 T^{4} + 6442347551688 T^{5} + 2876196467806412 T^{6} + 456605233025928936 T^{7} + \)\(11\!\cdots\!41\)\( T^{8} )^{2} \))(\( ( 1 + 140 T + 320330 T^{2} + 73212740 T^{3} + 60859580527 T^{4} + 11849141354936 T^{5} + 8088315502149964 T^{6} + 1230213402893520328 T^{7} + \)\(65\!\cdots\!83\)\( T^{8} + \)\(81\!\cdots\!80\)\( T^{9} + \)\(37\!\cdots\!30\)\( T^{10} + \)\(16\!\cdots\!20\)\( T^{11} + \)\(12\!\cdots\!89\)\( T^{12} )^{2} \))(\( ( 1 - 140 T + 320330 T^{2} - 73212740 T^{3} + 60859580527 T^{4} - 11849141354936 T^{5} + 8088315502149964 T^{6} - 1230213402893520328 T^{7} + \)\(65\!\cdots\!83\)\( T^{8} - \)\(81\!\cdots\!80\)\( T^{9} + \)\(37\!\cdots\!30\)\( T^{10} - \)\(16\!\cdots\!20\)\( T^{11} + \)\(12\!\cdots\!89\)\( T^{12} )^{2} \))(\( ( 1 - 788 T + 504413 T^{2} - 177469464 T^{3} + 52369670899 T^{4} - 8494021679252 T^{5} + 1119130473102767 T^{6} )^{2} \))(\( ( 1 - 204 T + 38141 T^{2} + 36096600 T^{3} + 3959913043 T^{4} - 2198959927116 T^{5} + 1119130473102767 T^{6} )^{2} \))(\( ( 1 + 204 T + 38141 T^{2} - 36096600 T^{3} + 3959913043 T^{4} + 2198959927116 T^{5} + 1119130473102767 T^{6} )^{2} \))(\( ( 1 + 788 T + 504413 T^{2} + 177469464 T^{3} + 52369670899 T^{4} + 8494021679252 T^{5} + 1119130473102767 T^{6} )^{2} \))(\( ( 1 + 768 T + 489802 T^{2} + 202388736 T^{3} + 89894075247 T^{4} + 32199310582272 T^{5} + 11871347201871692 T^{6} + 3343029022583225856 T^{7} + \)\(96\!\cdots\!63\)\( T^{8} + \)\(22\!\cdots\!12\)\( T^{9} + \)\(56\!\cdots\!82\)\( T^{10} + \)\(92\!\cdots\!24\)\( T^{11} + \)\(12\!\cdots\!89\)\( T^{12} )^{2} \))(\( ( 1 + 224 T + 513482 T^{2} + 83685280 T^{3} + 114367779183 T^{4} + 14034209027776 T^{5} + 14918464669026892 T^{6} + 1457073683890787648 T^{7} + \)\(12\!\cdots\!07\)\( T^{8} + \)\(93\!\cdots\!60\)\( T^{9} + \)\(59\!\cdots\!62\)\( T^{10} + \)\(27\!\cdots\!32\)\( T^{11} + \)\(12\!\cdots\!89\)\( T^{12} )^{2} \))(\( ( 1 - 224 T + 513482 T^{2} - 83685280 T^{3} + 114367779183 T^{4} - 14034209027776 T^{5} + 14918464669026892 T^{6} - 1457073683890787648 T^{7} + \)\(12\!\cdots\!07\)\( T^{8} - \)\(93\!\cdots\!60\)\( T^{9} + \)\(59\!\cdots\!62\)\( T^{10} - \)\(27\!\cdots\!32\)\( T^{11} + \)\(12\!\cdots\!89\)\( T^{12} )^{2} \))(\( ( 1 - 768 T + 489802 T^{2} - 202388736 T^{3} + 89894075247 T^{4} - 32199310582272 T^{5} + 11871347201871692 T^{6} - 3343029022583225856 T^{7} + \)\(96\!\cdots\!63\)\( T^{8} - \)\(22\!\cdots\!12\)\( T^{9} + \)\(56\!\cdots\!82\)\( T^{10} - \)\(92\!\cdots\!24\)\( T^{11} + \)\(12\!\cdots\!89\)\( T^{12} )^{2} \))(\( ( 1 + 196120 T^{2} + 11811093724 T^{4} - 1652294807341400 T^{6} - \)\(34\!\cdots\!22\)\( T^{8} - \)\(17\!\cdots\!00\)\( T^{10} + \)\(13\!\cdots\!84\)\( T^{12} + \)\(24\!\cdots\!80\)\( T^{14} + \)\(13\!\cdots\!81\)\( T^{16} )^{2} \))(\( ( 1 + 196120 T^{2} + 11811093724 T^{4} - 1652294807341400 T^{6} - \)\(34\!\cdots\!22\)\( T^{8} - \)\(17\!\cdots\!00\)\( T^{10} + \)\(13\!\cdots\!84\)\( T^{12} + \)\(24\!\cdots\!80\)\( T^{14} + \)\(13\!\cdots\!81\)\( T^{16} )^{2} \))
$53$ (\( 1 + 654 T + 148877 T^{2} \))(\( 1 + 606 T + 148877 T^{2} \))(\( 1 - 562 T + 148877 T^{2} \))(\( 1 - 402 T + 148877 T^{2} \))(\( 1 + 258 T + 148877 T^{2} \))(\( 1 - 162 T + 148877 T^{2} \))(\( 1 - 162 T + 148877 T^{2} \))(\( 1 + 526 T + 148877 T^{2} \))(\( 1 + 258 T + 148877 T^{2} \))(\( 1 - 274 T + 148877 T^{2} \))(\( 1 - 66 T + 148877 T^{2} \))(\( 1 - 190 T + 148877 T^{2} \))(\( 1 - 450 T + 148877 T^{2} \))(\( 1 - 498 T + 148877 T^{2} \))(\( 1 + 654 T + 148877 T^{2} \))(\( 1 + 606 T + 148877 T^{2} \))(\( 1 - 402 T + 148877 T^{2} \))(\( 1 - 562 T + 148877 T^{2} \))(\( 1 + 258 T + 148877 T^{2} \))(\( 1 - 162 T + 148877 T^{2} \))(\( 1 + 526 T + 148877 T^{2} \))(\( 1 - 162 T + 148877 T^{2} \))(\( 1 + 258 T + 148877 T^{2} \))(\( 1 - 66 T + 148877 T^{2} \))(\( 1 - 274 T + 148877 T^{2} \))(\( 1 - 190 T + 148877 T^{2} \))(\( 1 - 498 T + 148877 T^{2} \))(\( 1 - 450 T + 148877 T^{2} \))(\( 1 + 364 T + 286846 T^{2} + 54191228 T^{3} + 22164361129 T^{4} \))(\( 1 + 560 T + 369782 T^{2} + 83371120 T^{3} + 22164361129 T^{4} \))(\( 1 + 176 T + 261110 T^{2} + 26202352 T^{3} + 22164361129 T^{4} \))(\( 1 - 20 T + 69758 T^{2} - 2977540 T^{3} + 22164361129 T^{4} \))(\( 1 - 1104 T + 602230 T^{2} - 164360208 T^{3} + 22164361129 T^{4} \))(\( 1 - 652 T + 212222 T^{2} - 97067804 T^{3} + 22164361129 T^{4} \))(\( 1 + 192 T + 197782 T^{2} + 28584384 T^{3} + 22164361129 T^{4} \))(\( 1 + 160 T + 298646 T^{2} + 23820320 T^{3} + 22164361129 T^{4} \))(\( 1 + 364 T + 286846 T^{2} + 54191228 T^{3} + 22164361129 T^{4} \))(\( 1 + 560 T + 369782 T^{2} + 83371120 T^{3} + 22164361129 T^{4} \))(\( 1 + 176 T + 261110 T^{2} + 26202352 T^{3} + 22164361129 T^{4} \))(\( 1 - 20 T + 69758 T^{2} - 2977540 T^{3} + 22164361129 T^{4} \))(\( 1 - 1104 T + 602230 T^{2} - 164360208 T^{3} + 22164361129 T^{4} \))(\( 1 - 652 T + 212222 T^{2} - 97067804 T^{3} + 22164361129 T^{4} \))(\( 1 + 192 T + 197782 T^{2} + 28584384 T^{3} + 22164361129 T^{4} \))(\( 1 + 160 T + 298646 T^{2} + 23820320 T^{3} + 22164361129 T^{4} \))(\( 1 + 402 T + 439587 T^{2} + 111857036 T^{3} + 65444393799 T^{4} + 8910073173858 T^{5} + 3299763591802133 T^{6} \))(\( 1 + 10 T + 129971 T^{2} - 29769540 T^{3} + 19349692567 T^{4} + 221643611290 T^{5} + 3299763591802133 T^{6} \))(\( 1 + 402 T + 439587 T^{2} + 111857036 T^{3} + 65444393799 T^{4} + 8910073173858 T^{5} + 3299763591802133 T^{6} \))(\( 1 + 10 T + 129971 T^{2} - 29769540 T^{3} + 19349692567 T^{4} + 221643611290 T^{5} + 3299763591802133 T^{6} \))(\( ( 1 - 150 T + 148877 T^{2} )^{2} \))(\( ( 1 + 594 T + 148877 T^{2} )^{2} \))(\( ( 1 + 594 T + 148877 T^{2} )^{2} \))(\( ( 1 - 150 T + 148877 T^{2} )^{2} \))(\( ( 1 + 144 T + 272156 T^{2} + 93836016 T^{3} + 36246347862 T^{4} + 13970024554032 T^{5} + 6032163867424124 T^{6} + 475165957219507152 T^{7} + \)\(49\!\cdots\!41\)\( T^{8} )^{2} \))(\( ( 1 + 144 T + 272156 T^{2} + 93836016 T^{3} + 36246347862 T^{4} + 13970024554032 T^{5} + 6032163867424124 T^{6} + 475165957219507152 T^{7} + \)\(49\!\cdots\!41\)\( T^{8} )^{2} \))(\( ( 1 - 8 T + 620338 T^{2} - 43270728 T^{3} + 175052111079 T^{4} - 17854809544976 T^{5} + 31198306509520220 T^{6} - 2658170480627391952 T^{7} + \)\(38\!\cdots\!91\)\( T^{8} - \)\(14\!\cdots\!24\)\( T^{9} + \)\(30\!\cdots\!58\)\( T^{10} - \)\(58\!\cdots\!56\)\( T^{11} + \)\(10\!\cdots\!89\)\( T^{12} )^{2} \))(\( ( 1 - 8 T + 620338 T^{2} - 43270728 T^{3} + 175052111079 T^{4} - 17854809544976 T^{5} + 31198306509520220 T^{6} - 2658170480627391952 T^{7} + \)\(38\!\cdots\!91\)\( T^{8} - \)\(14\!\cdots\!24\)\( T^{9} + \)\(30\!\cdots\!58\)\( T^{10} - \)\(58\!\cdots\!56\)\( T^{11} + \)\(10\!\cdots\!89\)\( T^{12} )^{2} \))(\( 1 - 301542 T^{2} + 68147631831 T^{4} - 12599714107370068 T^{6} + \)\(15\!\cdots\!99\)\( T^{8} - \)\(14\!\cdots\!22\)\( T^{10} + \)\(10\!\cdots\!89\)\( T^{12} \))(\( 1 - 293862 T^{2} + 25816491735 T^{4} - 255200679487060 T^{6} + \)\(57\!\cdots\!15\)\( T^{8} - \)\(14\!\cdots\!42\)\( T^{10} + \)\(10\!\cdots\!89\)\( T^{12} \))(\( 1 - 293862 T^{2} + 25816491735 T^{4} - 255200679487060 T^{6} + \)\(57\!\cdots\!15\)\( T^{8} - \)\(14\!\cdots\!42\)\( T^{10} + \)\(10\!\cdots\!89\)\( T^{12} \))(\( 1 - 301542 T^{2} + 68147631831 T^{4} - 12599714107370068 T^{6} + \)\(15\!\cdots\!99\)\( T^{8} - \)\(14\!\cdots\!22\)\( T^{10} + \)\(10\!\cdots\!89\)\( T^{12} \))(\( 1 - 951372 T^{2} + 440287864146 T^{4} - 131960723222263676 T^{6} + \)\(29\!\cdots\!83\)\( T^{8} - \)\(52\!\cdots\!24\)\( T^{10} + \)\(81\!\cdots\!72\)\( T^{12} - \)\(11\!\cdots\!96\)\( T^{14} + \)\(14\!\cdots\!03\)\( T^{16} - \)\(14\!\cdots\!64\)\( T^{18} + \)\(10\!\cdots\!26\)\( T^{20} - \)\(50\!\cdots\!28\)\( T^{22} + \)\(11\!\cdots\!21\)\( T^{24} \))(\( 1 - 1063500 T^{2} + 529797622098 T^{4} - 166334572961449340 T^{6} + \)\(37\!\cdots\!99\)\( T^{8} - \)\(68\!\cdots\!72\)\( T^{10} + \)\(10\!\cdots\!16\)\( T^{12} - \)\(15\!\cdots\!88\)\( T^{14} + \)\(18\!\cdots\!59\)\( T^{16} - \)\(18\!\cdots\!60\)\( T^{18} + \)\(12\!\cdots\!38\)\( T^{20} - \)\(56\!\cdots\!00\)\( T^{22} + \)\(11\!\cdots\!21\)\( T^{24} \))(\( 1 - 1063500 T^{2} + 529797622098 T^{4} - 166334572961449340 T^{6} + \)\(37\!\cdots\!99\)\( T^{8} - \)\(68\!\cdots\!72\)\( T^{10} + \)\(10\!\cdots\!16\)\( T^{12} - \)\(15\!\cdots\!88\)\( T^{14} + \)\(18\!\cdots\!59\)\( T^{16} - \)\(18\!\cdots\!60\)\( T^{18} + \)\(12\!\cdots\!38\)\( T^{20} - \)\(56\!\cdots\!00\)\( T^{22} + \)\(11\!\cdots\!21\)\( T^{24} \))(\( 1 - 951372 T^{2} + 440287864146 T^{4} - 131960723222263676 T^{6} + \)\(29\!\cdots\!83\)\( T^{8} - \)\(52\!\cdots\!24\)\( T^{10} + \)\(81\!\cdots\!72\)\( T^{12} - \)\(11\!\cdots\!96\)\( T^{14} + \)\(14\!\cdots\!03\)\( T^{16} - \)\(14\!\cdots\!64\)\( T^{18} + \)\(10\!\cdots\!26\)\( T^{20} - \)\(50\!\cdots\!28\)\( T^{22} + \)\(11\!\cdots\!21\)\( T^{24} \))(\( ( 1 - 397708 T^{2} + 113084632324 T^{4} - 24744516242915860 T^{6} + \)\(40\!\cdots\!82\)\( T^{8} - \)\(54\!\cdots\!40\)\( T^{10} + \)\(55\!\cdots\!84\)\( T^{12} - \)\(43\!\cdots\!12\)\( T^{14} + \)\(24\!\cdots\!81\)\( T^{16} )^{2} \))(\( ( 1 - 397708 T^{2} + 113084632324 T^{4} - 24744516242915860 T^{6} + \)\(40\!\cdots\!82\)\( T^{8} - \)\(54\!\cdots\!40\)\( T^{10} + \)\(55\!\cdots\!84\)\( T^{12} - \)\(43\!\cdots\!12\)\( T^{14} + \)\(24\!\cdots\!81\)\( T^{16} )^{2} \))
$59$ (\( 1 + 492 T + 205379 T^{2} \))(\( 1 - 364 T + 205379 T^{2} \))(\( 1 + 476 T + 205379 T^{2} \))(\( 1 - 396 T + 205379 T^{2} \))(\( 1 - 264 T + 205379 T^{2} \))(\( 1 - 772 T + 205379 T^{2} \))(\( 1 + 180 T + 205379 T^{2} \))(\( 1 - 540 T + 205379 T^{2} \))(\( 1 - 120 T + 205379 T^{2} \))(\( 1 + 660 T + 205379 T^{2} \))(\( 1 + 420 T + 205379 T^{2} \))(\( 1 + 96 T + 205379 T^{2} \))(\( 1 - 516 T + 205379 T^{2} \))(\( 1 + 132 T + 205379 T^{2} \))(\( 1 - 492 T + 205379 T^{2} \))(\( 1 + 364 T + 205379 T^{2} \))(\( 1 + 396 T + 205379 T^{2} \))(\( 1 - 476 T + 205379 T^{2} \))(\( 1 + 264 T + 205379 T^{2} \))(\( 1 + 772 T + 205379 T^{2} \))(\( 1 + 540 T + 205379 T^{2} \))(\( 1 - 180 T + 205379 T^{2} \))(\( 1 + 120 T + 205379 T^{2} \))(\( 1 - 420 T + 205379 T^{2} \))(\( 1 - 660 T + 205379 T^{2} \))(\( 1 - 96 T + 205379 T^{2} \))(\( 1 - 132 T + 205379 T^{2} \))(\( 1 + 516 T + 205379 T^{2} \))(\( 1 - 464 T + 265750 T^{2} - 95295856 T^{3} + 42180533641 T^{4} \))(\( 1 - 492 T + 351622 T^{2} - 101046468 T^{3} + 42180533641 T^{4} \))(\( 1 + 404 T + 451014 T^{2} + 82973116 T^{3} + 42180533641 T^{4} \))(\( 1 - 64 T + 196182 T^{2} - 13144256 T^{3} + 42180533641 T^{4} \))(\( 1 + 804 T + 380614 T^{2} + 165124716 T^{3} + 42180533641 T^{4} \))(\( 1 - 424 T + 384070 T^{2} - 87080696 T^{3} + 42180533641 T^{4} \))(\( 1 - 212 T + 355942 T^{2} - 43540348 T^{3} + 42180533641 T^{4} \))(\( 1 - 1076 T + 664230 T^{2} - 220987804 T^{3} + 42180533641 T^{4} \))(\( 1 + 464 T + 265750 T^{2} + 95295856 T^{3} + 42180533641 T^{4} \))(\( 1 + 492 T + 351622 T^{2} + 101046468 T^{3} + 42180533641 T^{4} \))(\( 1 - 404 T + 451014 T^{2} - 82973116 T^{3} + 42180533641 T^{4} \))(\( 1 + 64 T + 196182 T^{2} + 13144256 T^{3} + 42180533641 T^{4} \))(\( 1 - 804 T + 380614 T^{2} - 165124716 T^{3} + 42180533641 T^{4} \))(\( 1 + 424 T + 384070 T^{2} + 87080696 T^{3} + 42180533641 T^{4} \))(\( 1 + 212 T + 355942 T^{2} + 43540348 T^{3} + 42180533641 T^{4} \))(\( 1 + 1076 T + 664230 T^{2} + 220987804 T^{3} + 42180533641 T^{4} \))(\( 1 + 540 T + 384105 T^{2} + 233348008 T^{3} + 78887100795 T^{4} + 22777488166140 T^{5} + 8662995818654939 T^{6} \))(\( 1 + 1500 T + 1276057 T^{2} + 706438120 T^{3} + 262075310603 T^{4} + 63270800461500 T^{5} + 8662995818654939 T^{6} \))(\( 1 - 540 T + 384105 T^{2} - 233348008 T^{3} + 78887100795 T^{4} - 22777488166140 T^{5} + 8662995818654939 T^{6} \))(\( 1 - 1500 T + 1276057 T^{2} - 706438120 T^{3} + 262075310603 T^{4} - 63270800461500 T^{5} + 8662995818654939 T^{6} \))(\( ( 1 + 204 T + 205379 T^{2} )^{2} \))(\( ( 1 - 540 T + 205379 T^{2} )^{2} \))(\( ( 1 + 540 T + 205379 T^{2} )^{2} \))(\( ( 1 - 204 T + 205379 T^{2} )^{2} \))(\( ( 1 + 912 T + 752684 T^{2} + 485643024 T^{3} + 219867046134 T^{4} + 99740878626096 T^{5} + 31748612783042444 T^{6} + 7900652186613304368 T^{7} + \)\(17\!\cdots\!81\)\( T^{8} )^{2} \))(\( ( 1 - 912 T + 752684 T^{2} - 485643024 T^{3} + 219867046134 T^{4} - 99740878626096 T^{5} + 31748612783042444 T^{6} - 7900652186613304368 T^{7} + \)\(17\!\cdots\!81\)\( T^{8} )^{2} \))(\( ( 1 - 584 T + 660226 T^{2} - 288363320 T^{3} + 227118238535 T^{4} - 84061764799568 T^{5} + 53003863801684156 T^{6} - 17264521192770476272 T^{7} + \)\(95\!\cdots\!35\)\( T^{8} - \)\(24\!\cdots\!80\)\( T^{9} + \)\(11\!\cdots\!06\)\( T^{10} - \)\(21\!\cdots\!16\)\( T^{11} + \)\(75\!\cdots\!21\)\( T^{12} )^{2} \))(\( ( 1 + 584 T + 660226 T^{2} + 288363320 T^{3} + 227118238535 T^{4} + 84061764799568 T^{5} + 53003863801684156 T^{6} + 17264521192770476272 T^{7} + \)\(95\!\cdots\!35\)\( T^{8} + \)\(24\!\cdots\!80\)\( T^{9} + \)\(11\!\cdots\!06\)\( T^{10} + \)\(21\!\cdots\!16\)\( T^{11} + \)\(75\!\cdots\!21\)\( T^{12} )^{2} \))(\( 1 - 972930 T^{2} + 421846234695 T^{4} - 108520578062446524 T^{6} + \)\(17\!\cdots\!95\)\( T^{8} - \)\(17\!\cdots\!30\)\( T^{10} + \)\(75\!\cdots\!21\)\( T^{12} \))(\( 1 - 121986 T^{2} + 29011638855 T^{4} - 18729620552449980 T^{6} + \)\(12\!\cdots\!55\)\( T^{8} - \)\(21\!\cdots\!66\)\( T^{10} + \)\(75\!\cdots\!21\)\( T^{12} \))(\( 1 - 121986 T^{2} + 29011638855 T^{4} - 18729620552449980 T^{6} + \)\(12\!\cdots\!55\)\( T^{8} - \)\(21\!\cdots\!66\)\( T^{10} + \)\(75\!\cdots\!21\)\( T^{12} \))(\( 1 - 972930 T^{2} + 421846234695 T^{4} - 108520578062446524 T^{6} + \)\(17\!\cdots\!95\)\( T^{8} - \)\(17\!\cdots\!30\)\( T^{10} + \)\(75\!\cdots\!21\)\( T^{12} \))(\( 1 - 1186308 T^{2} + 571182370962 T^{4} - 130921511746325652 T^{6} + \)\(68\!\cdots\!59\)\( T^{8} + \)\(45\!\cdots\!80\)\( T^{10} - \)\(14\!\cdots\!88\)\( T^{12} + \)\(19\!\cdots\!80\)\( T^{14} + \)\(12\!\cdots\!79\)\( T^{16} - \)\(98\!\cdots\!92\)\( T^{18} + \)\(18\!\cdots\!82\)\( T^{20} - \)\(15\!\cdots\!08\)\( T^{22} + \)\(56\!\cdots\!41\)\( T^{24} \))(\( 1 - 1330692 T^{2} + 893488384146 T^{4} - 395429323952623764 T^{6} + \)\(13\!\cdots\!63\)\( T^{8} - \)\(34\!\cdots\!12\)\( T^{10} + \)\(75\!\cdots\!28\)\( T^{12} - \)\(14\!\cdots\!92\)\( T^{14} + \)\(23\!\cdots\!03\)\( T^{16} - \)\(29\!\cdots\!44\)\( T^{18} + \)\(28\!\cdots\!06\)\( T^{20} - \)\(17\!\cdots\!92\)\( T^{22} + \)\(56\!\cdots\!41\)\( T^{24} \))(\( 1 - 1330692 T^{2} + 893488384146 T^{4} - 395429323952623764 T^{6} + \)\(13\!\cdots\!63\)\( T^{8} - \)\(34\!\cdots\!12\)\( T^{10} + \)\(75\!\cdots\!28\)\( T^{12} - \)\(14\!\cdots\!92\)\( T^{14} + \)\(23\!\cdots\!03\)\( T^{16} - \)\(29\!\cdots\!44\)\( T^{18} + \)\(28\!\cdots\!06\)\( T^{20} - \)\(17\!\cdots\!92\)\( T^{22} + \)\(56\!\cdots\!41\)\( T^{24} \))(\( 1 - 1186308 T^{2} + 571182370962 T^{4} - 130921511746325652 T^{6} + \)\(68\!\cdots\!59\)\( T^{8} + \)\(45\!\cdots\!80\)\( T^{10} - \)\(14\!\cdots\!88\)\( T^{12} + \)\(19\!\cdots\!80\)\( T^{14} + \)\(12\!\cdots\!79\)\( T^{16} - \)\(98\!\cdots\!92\)\( T^{18} + \)\(18\!\cdots\!82\)\( T^{20} - \)\(15\!\cdots\!08\)\( T^{22} + \)\(56\!\cdots\!41\)\( T^{24} \))(\( ( 1 - 959976 T^{2} + 482740829852 T^{4} - 161521593529715352 T^{6} + \)\(38\!\cdots\!94\)\( T^{8} - \)\(68\!\cdots\!32\)\( T^{10} + \)\(85\!\cdots\!12\)\( T^{12} - \)\(72\!\cdots\!96\)\( T^{14} + \)\(31\!\cdots\!61\)\( T^{16} )^{2} \))(\( ( 1 - 959976 T^{2} + 482740829852 T^{4} - 161521593529715352 T^{6} + \)\(38\!\cdots\!94\)\( T^{8} - \)\(68\!\cdots\!32\)\( T^{10} + \)\(85\!\cdots\!12\)\( T^{12} - \)\(72\!\cdots\!96\)\( T^{14} + \)\(31\!\cdots\!61\)\( T^{16} )^{2} \))
$61$ (\( 1 - 250 T + 226981 T^{2} \))(\( 1 + 678 T + 226981 T^{2} \))(\( 1 + 34 T + 226981 T^{2} \))(\( 1 + 254 T + 226981 T^{2} \))(\( 1 + 606 T + 226981 T^{2} \))(\( 1 + 30 T + 226981 T^{2} \))(\( 1 - 666 T + 226981 T^{2} \))(\( 1 - 818 T + 226981 T^{2} \))(\( 1 + 622 T + 226981 T^{2} \))(\( 1 + 382 T + 226981 T^{2} \))(\( 1 + 342 T + 226981 T^{2} \))(\( 1 + 622 T + 226981 T^{2} \))(\( 1 + 58 T + 226981 T^{2} \))(\( 1 + 398 T + 226981 T^{2} \))(\( 1 - 250 T + 226981 T^{2} \))(\( 1 + 678 T + 226981 T^{2} \))(\( 1 + 254 T + 226981 T^{2} \))(\( 1 + 34 T + 226981 T^{2} \))(\( 1 + 606 T + 226981 T^{2} \))(\( 1 + 30 T + 226981 T^{2} \))(\( 1 - 818 T + 226981 T^{2} \))(\( 1 - 666 T + 226981 T^{2} \))(\( 1 + 622 T + 226981 T^{2} \))(\( 1 + 342 T + 226981 T^{2} \))(\( 1 + 382 T + 226981 T^{2} \))(\( 1 + 622 T + 226981 T^{2} \))(\( 1 + 398 T + 226981 T^{2} \))(\( 1 + 58 T + 226981 T^{2} \))(\( 1 + 620 T + 494334 T^{2} + 140728220 T^{3} + 51520374361 T^{4} \))(\( 1 - 604 T + 406398 T^{2} - 137096524 T^{3} + 51520374361 T^{4} \))(\( 1 - 156 T + 240846 T^{2} - 35409036 T^{3} + 51520374361 T^{4} \))(\( 1 + 204 T + 434622 T^{2} + 46304124 T^{3} + 51520374361 T^{4} \))(\( 1 - 428 T + 425886 T^{2} - 97147868 T^{3} + 51520374361 T^{4} \))(\( 1 - 1060 T + 729534 T^{2} - 240599860 T^{3} + 51520374361 T^{4} \))(\( 1 - 100 T + 370190 T^{2} - 22698100 T^{3} + 51520374361 T^{4} \))(\( 1 + 156 T + 87678 T^{2} + 35409036 T^{3} + 51520374361 T^{4} \))(\( 1 + 620 T + 494334 T^{2} + 140728220 T^{3} + 51520374361 T^{4} \))(\( 1 - 604 T + 406398 T^{2} - 137096524 T^{3} + 51520374361 T^{4} \))(\( 1 - 156 T + 240846 T^{2} - 35409036 T^{3} + 51520374361 T^{4} \))(\( 1 + 204 T + 434622 T^{2} + 46304124 T^{3} + 51520374361 T^{4} \))(\( 1 - 428 T + 425886 T^{2} - 97147868 T^{3} + 51520374361 T^{4} \))(\( 1 - 1060 T + 729534 T^{2} - 240599860 T^{3} + 51520374361 T^{4} \))(\( 1 - 100 T + 370190 T^{2} - 22698100 T^{3} + 51520374361 T^{4} \))(\( 1 + 156 T + 87678 T^{2} + 35409036 T^{3} + 51520374361 T^{4} \))(\( 1 + 798 T + 496155 T^{2} + 192224404 T^{3} + 112617758055 T^{4} + 41113258740078 T^{5} + 11694146092834141 T^{6} \))(\( 1 - 810 T + 308443 T^{2} - 91697820 T^{3} + 70010700583 T^{4} - 41731503232410 T^{5} + 11694146092834141 T^{6} \))(\( 1 + 798 T + 496155 T^{2} + 192224404 T^{3} + 112617758055 T^{4} + 41113258740078 T^{5} + 11694146092834141 T^{6} \))(\( 1 - 810 T + 308443 T^{2} - 91697820 T^{3} + 70010700583 T^{4} - 41731503232410 T^{5} + 11694146092834141 T^{6} \))(\( 1 - 115274 T^{2} + 51520374361 T^{4} \))(\( 1 - 329546 T^{2} + 51520374361 T^{4} \))(\( 1 - 329546 T^{2} + 51520374361 T^{4} \))(\( 1 - 115274 T^{2} + 51520374361 T^{4} \))(\( 1 - 1695272 T^{2} + 1282321093564 T^{4} - 565249437068217176 T^{6} + \)\(15\!\cdots\!66\)\( T^{8} - \)\(29\!\cdots\!36\)\( T^{10} + \)\(34\!\cdots\!44\)\( T^{12} - \)\(23\!\cdots\!32\)\( T^{14} + \)\(70\!\cdots\!41\)\( T^{16} \))(\( 1 - 1695272 T^{2} + 1282321093564 T^{4} - 565249437068217176 T^{6} + \)\(15\!\cdots\!66\)\( T^{8} - \)\(29\!\cdots\!36\)\( T^{10} + \)\(34\!\cdots\!44\)\( T^{12} - \)\(23\!\cdots\!32\)\( T^{14} + \)\(70\!\cdots\!41\)\( T^{16} \))(\( 1 - 1132844 T^{2} + 598144576978 T^{4} - 187592974802688284 T^{6} + \)\(36\!\cdots\!15\)\( T^{8} - \)\(44\!\cdots\!20\)\( T^{10} + \)\(52\!\cdots\!48\)\( T^{12} - \)\(22\!\cdots\!20\)\( T^{14} + \)\(97\!\cdots\!15\)\( T^{16} - \)\(25\!\cdots\!04\)\( T^{18} + \)\(42\!\cdots\!98\)\( T^{20} - \)\(41\!\cdots\!44\)\( T^{22} + \)\(18\!\cdots\!61\)\( T^{24} \))(\( 1 - 1132844 T^{2} + 598144576978 T^{4} - 187592974802688284 T^{6} + \)\(36\!\cdots\!15\)\( T^{8} - \)\(44\!\cdots\!20\)\( T^{10} + \)\(52\!\cdots\!48\)\( T^{12} - \)\(22\!\cdots\!20\)\( T^{14} + \)\(97\!\cdots\!15\)\( T^{16} - \)\(25\!\cdots\!04\)\( T^{18} + \)\(42\!\cdots\!98\)\( T^{20} - \)\(41\!\cdots\!44\)\( T^{22} + \)\(18\!\cdots\!61\)\( T^{24} \))(\( 1 - 1117626 T^{2} + 551555340327 T^{4} - 158612169634895020 T^{6} + \)\(28\!\cdots\!47\)\( T^{8} - \)\(29\!\cdots\!46\)\( T^{10} + \)\(13\!\cdots\!81\)\( T^{12} \))(\( 1 - 611418 T^{2} + 227998482855 T^{4} - 63536980209731692 T^{6} + \)\(11\!\cdots\!55\)\( T^{8} - \)\(16\!\cdots\!78\)\( T^{10} + \)\(13\!\cdots\!81\)\( T^{12} \))(\( 1 - 611418 T^{2} + 227998482855 T^{4} - 63536980209731692 T^{6} + \)\(11\!\cdots\!55\)\( T^{8} - \)\(16\!\cdots\!78\)\( T^{10} + \)\(13\!\cdots\!81\)\( T^{12} \))(\( 1 - 1117626 T^{2} + 551555340327 T^{4} - 158612169634895020 T^{6} + \)\(28\!\cdots\!47\)\( T^{8} - \)\(29\!\cdots\!46\)\( T^{10} + \)\(13\!\cdots\!81\)\( T^{12} \))(\( 1 + 547212 T^{2} + 195347968626 T^{4} + 52324751929566460 T^{6} + \)\(14\!\cdots\!71\)\( T^{8} + \)\(42\!\cdots\!60\)\( T^{10} + \)\(10\!\cdots\!24\)\( T^{12} + \)\(21\!\cdots\!60\)\( T^{14} + \)\(39\!\cdots\!91\)\( T^{16} + \)\(71\!\cdots\!60\)\( T^{18} + \)\(13\!\cdots\!66\)\( T^{20} + \)\(19\!\cdots\!12\)\( T^{22} + \)\(18\!\cdots\!61\)\( T^{24} \))(\( 1 - 1962420 T^{2} + 1822121392626 T^{4} - 1072836869749857092 T^{6} + \)\(45\!\cdots\!59\)\( T^{8} - \)\(14\!\cdots\!24\)\( T^{10} + \)\(37\!\cdots\!76\)\( T^{12} - \)\(75\!\cdots\!64\)\( T^{14} + \)\(12\!\cdots\!39\)\( T^{16} - \)\(14\!\cdots\!52\)\( T^{18} + \)\(12\!\cdots\!66\)\( T^{20} - \)\(71\!\cdots\!20\)\( T^{22} + \)\(18\!\cdots\!61\)\( T^{24} \))(\( 1 - 1962420 T^{2} + 1822121392626 T^{4} - 1072836869749857092 T^{6} + \)\(45\!\cdots\!59\)\( T^{8} - \)\(14\!\cdots\!24\)\( T^{10} + \)\(37\!\cdots\!76\)\( T^{12} - \)\(75\!\cdots\!64\)\( T^{14} + \)\(12\!\cdots\!39\)\( T^{16} - \)\(14\!\cdots\!52\)\( T^{18} + \)\(12\!\cdots\!66\)\( T^{20} - \)\(71\!\cdots\!20\)\( T^{22} + \)\(18\!\cdots\!61\)\( T^{24} \))(\( 1 + 547212 T^{2} + 195347968626 T^{4} + 52324751929566460 T^{6} + \)\(14\!\cdots\!71\)\( T^{8} + \)\(42\!\cdots\!60\)\( T^{10} + \)\(10\!\cdots\!24\)\( T^{12} + \)\(21\!\cdots\!60\)\( T^{14} + \)\(39\!\cdots\!91\)\( T^{16} + \)\(71\!\cdots\!60\)\( T^{18} + \)\(13\!\cdots\!66\)\( T^{20} + \)\(19\!\cdots\!12\)\( T^{22} + \)\(18\!\cdots\!61\)\( T^{24} \))(\( ( 1 + 46 T + 513320 T^{2} + 113010426 T^{3} + 128166240446 T^{4} + 25651219503906 T^{5} + 26446438566988520 T^{6} + 537930720270370486 T^{7} + \)\(26\!\cdots\!21\)\( T^{8} )^{4} \))(\( ( 1 - 46 T + 513320 T^{2} - 113010426 T^{3} + 128166240446 T^{4} - 25651219503906 T^{5} + 26446438566988520 T^{6} - 537930720270370486 T^{7} + \)\(26\!\cdots\!21\)\( T^{8} )^{4} \))
$67$ (\( 1 + 124 T + 300763 T^{2} \))(\( 1 + 844 T + 300763 T^{2} \))(\( 1 + 520 T + 300763 T^{2} \))(\( 1 + 1012 T + 300763 T^{2} \))(\( 1 + 520 T + 300763 T^{2} \))(\( 1 - 764 T + 300763 T^{2} \))(\( 1 - 628 T + 300763 T^{2} \))(\( 1 + 228 T + 300763 T^{2} \))(\( 1 - 904 T + 300763 T^{2} \))(\( 1 - 12 T + 300763 T^{2} \))(\( 1 + 668 T + 300763 T^{2} \))(\( 1 + 744 T + 300763 T^{2} \))(\( 1 - 656 T + 300763 T^{2} \))(\( 1 - 92 T + 300763 T^{2} \))(\( 1 - 124 T + 300763 T^{2} \))(\( 1 - 844 T + 300763 T^{2} \))(\( 1 - 1012 T + 300763 T^{2} \))(\( 1 - 520 T + 300763 T^{2} \))(\( 1 - 520 T + 300763 T^{2} \))(\( 1 + 764 T + 300763 T^{2} \))(\( 1 - 228 T + 300763 T^{2} \))(\( 1 + 628 T + 300763 T^{2} \))(\( 1 + 904 T + 300763 T^{2} \))(\( 1 - 668 T + 300763 T^{2} \))(\( 1 + 12 T + 300763 T^{2} \))(\( 1 - 744 T + 300763 T^{2} \))(\( 1 + 92 T + 300763 T^{2} \))(\( 1 + 656 T + 300763 T^{2} \))(\( 1 - 904 T + 651030 T^{2} - 271889752 T^{3} + 90458382169 T^{4} \))(\( 1 - 1020 T + 843926 T^{2} - 306778260 T^{3} + 90458382169 T^{4} \))(\( 1 - 4 T + 478230 T^{2} - 1203052 T^{3} + 90458382169 T^{4} \))(\( 1 - 872 T + 790038 T^{2} - 262265336 T^{3} + 90458382169 T^{4} \))(\( 1 + 148 T + 440790 T^{2} + 44512924 T^{3} + 90458382169 T^{4} \))(\( 1 + 1312 T + 898662 T^{2} + 394601056 T^{3} + 90458382169 T^{4} \))(\( 1 - 212 T + 611414 T^{2} - 63761756 T^{3} + 90458382169 T^{4} \))(\( 1 - 1372 T + 1071510 T^{2} - 412646836 T^{3} + 90458382169 T^{4} \))(\( 1 + 904 T + 651030 T^{2} + 271889752 T^{3} + 90458382169 T^{4} \))(\( 1 + 1020 T + 843926 T^{2} + 306778260 T^{3} + 90458382169 T^{4} \))(\( 1 + 4 T + 478230 T^{2} + 1203052 T^{3} + 90458382169 T^{4} \))(\( 1 + 872 T + 790038 T^{2} + 262265336 T^{3} + 90458382169 T^{4} \))(\( 1 - 148 T + 440790 T^{2} - 44512924 T^{3} + 90458382169 T^{4} \))(\( 1 - 1312 T + 898662 T^{2} - 394601056 T^{3} + 90458382169 T^{4} \))(\( 1 + 212 T + 611414 T^{2} + 63761756 T^{3} + 90458382169 T^{4} \))(\( 1 + 1372 T + 1071510 T^{2} + 412646836 T^{3} + 90458382169 T^{4} \))(\( 1 + 48 T + 552513 T^{2} - 15173344 T^{3} + 166175467419 T^{4} + 4342002344112 T^{5} + 27206534396294947 T^{6} \))(\( 1 + 1272 T + 1429617 T^{2} + 836207696 T^{3} + 429975897771 T^{4} + 115063062118968 T^{5} + 27206534396294947 T^{6} \))(\( 1 - 48 T + 552513 T^{2} + 15173344 T^{3} + 166175467419 T^{4} - 4342002344112 T^{5} + 27206534396294947 T^{6} \))(\( 1 - 1272 T + 1429617 T^{2} - 836207696 T^{3} + 429975897771 T^{4} - 115063062118968 T^{5} + 27206534396294947 T^{6} \))(\( 1 - 342218 T^{2} + 90458382169 T^{4} \))(\( 1 + 518218 T^{2} + 90458382169 T^{4} \))(\( 1 + 518218 T^{2} + 90458382169 T^{4} \))(\( 1 - 342218 T^{2} + 90458382169 T^{4} \))(\( 1 - 1674176 T^{2} + 1368230434588 T^{4} - 709074585714612800 T^{6} + \)\(25\!\cdots\!78\)\( T^{8} - \)\(64\!\cdots\!00\)\( T^{10} + \)\(11\!\cdots\!68\)\( T^{12} - \)\(12\!\cdots\!84\)\( T^{14} + \)\(66\!\cdots\!21\)\( T^{16} \))(\( 1 - 1674176 T^{2} + 1368230434588 T^{4} - 709074585714612800 T^{6} + \)\(25\!\cdots\!78\)\( T^{8} - \)\(64\!\cdots\!00\)\( T^{10} + \)\(11\!\cdots\!68\)\( T^{12} - \)\(12\!\cdots\!84\)\( T^{14} + \)\(66\!\cdots\!21\)\( T^{16} \))(\( 1 - 2201456 T^{2} + 2446914850954 T^{4} - 1810143772474049072 T^{6} + \)\(98\!\cdots\!19\)\( T^{8} - \)\(41\!\cdots\!88\)\( T^{10} + \)\(14\!\cdots\!12\)\( T^{12} - \)\(37\!\cdots\!72\)\( T^{14} + \)\(80\!\cdots\!59\)\( T^{16} - \)\(13\!\cdots\!48\)\( T^{18} + \)\(16\!\cdots\!34\)\( T^{20} - \)\(13\!\cdots\!44\)\( T^{22} + \)\(54\!\cdots\!81\)\( T^{24} \))(\( 1 - 2201456 T^{2} + 2446914850954 T^{4} - 1810143772474049072 T^{6} + \)\(98\!\cdots\!19\)\( T^{8} - \)\(41\!\cdots\!88\)\( T^{10} + \)\(14\!\cdots\!12\)\( T^{12} - \)\(37\!\cdots\!72\)\( T^{14} + \)\(80\!\cdots\!59\)\( T^{16} - \)\(13\!\cdots\!48\)\( T^{18} + \)\(16\!\cdots\!34\)\( T^{20} - \)\(13\!\cdots\!44\)\( T^{22} + \)\(54\!\cdots\!81\)\( T^{24} \))(\( 1 - 997062 T^{2} + 589838394711 T^{4} - 213127652236255540 T^{6} + \)\(53\!\cdots\!59\)\( T^{8} - \)\(81\!\cdots\!82\)\( T^{10} + \)\(74\!\cdots\!09\)\( T^{12} \))(\( 1 - 388998 T^{2} + 93671348823 T^{4} - 1045103396994484 T^{6} + \)\(84\!\cdots\!87\)\( T^{8} - \)\(31\!\cdots\!78\)\( T^{10} + \)\(74\!\cdots\!09\)\( T^{12} \))(\( 1 - 388998 T^{2} + 93671348823 T^{4} - 1045103396994484 T^{6} + \)\(84\!\cdots\!87\)\( T^{8} - \)\(31\!\cdots\!78\)\( T^{10} + \)\(74\!\cdots\!09\)\( T^{12} \))(\( 1 - 997062 T^{2} + 589838394711 T^{4} - 213127652236255540 T^{6} + \)\(53\!\cdots\!59\)\( T^{8} - \)\(81\!\cdots\!82\)\( T^{10} + \)\(74\!\cdots\!09\)\( T^{12} \))(\( 1 - 2021580 T^{2} + 2128270327890 T^{4} - 1520295236752623932 T^{6} + \)\(81\!\cdots\!03\)\( T^{8} - \)\(34\!\cdots\!56\)\( T^{10} + \)\(11\!\cdots\!56\)\( T^{12} - \)\(30\!\cdots\!64\)\( T^{14} + \)\(66\!\cdots\!83\)\( T^{16} - \)\(11\!\cdots\!88\)\( T^{18} + \)\(14\!\cdots\!90\)\( T^{20} - \)\(12\!\cdots\!20\)\( T^{22} + \)\(54\!\cdots\!81\)\( T^{24} \))(\( 1 - 2007756 T^{2} + 2062068522066 T^{4} - 1428336040353807164 T^{6} + \)\(74\!\cdots\!95\)\( T^{8} - \)\(30\!\cdots\!96\)\( T^{10} + \)\(10\!\cdots\!24\)\( T^{12} - \)\(27\!\cdots\!24\)\( T^{14} + \)\(60\!\cdots\!95\)\( T^{16} - \)\(10\!\cdots\!76\)\( T^{18} + \)\(13\!\cdots\!86\)\( T^{20} - \)\(12\!\cdots\!44\)\( T^{22} + \)\(54\!\cdots\!81\)\( T^{24} \))(\( 1 - 2007756 T^{2} + 2062068522066 T^{4} - 1428336040353807164 T^{6} + \)\(74\!\cdots\!95\)\( T^{8} - \)\(30\!\cdots\!96\)\( T^{10} + \)\(10\!\cdots\!24\)\( T^{12} - \)\(27\!\cdots\!24\)\( T^{14} + \)\(60\!\cdots\!95\)\( T^{16} - \)\(10\!\cdots\!76\)\( T^{18} + \)\(13\!\cdots\!86\)\( T^{20} - \)\(12\!\cdots\!44\)\( T^{22} + \)\(54\!\cdots\!81\)\( T^{24} \))(\( 1 - 2021580 T^{2} + 2128270327890 T^{4} - 1520295236752623932 T^{6} + \)\(81\!\cdots\!03\)\( T^{8} - \)\(34\!\cdots\!56\)\( T^{10} + \)\(11\!\cdots\!56\)\( T^{12} - \)\(30\!\cdots\!64\)\( T^{14} + \)\(66\!\cdots\!83\)\( T^{16} - \)\(11\!\cdots\!88\)\( T^{18} + \)\(14\!\cdots\!90\)\( T^{20} - \)\(12\!\cdots\!20\)\( T^{22} + \)\(54\!\cdots\!81\)\( T^{24} \))(\( ( 1 + 587060 T^{2} + 488939480164 T^{4} + 171323230290926060 T^{6} + \)\(72\!\cdots\!98\)\( T^{8} + \)\(15\!\cdots\!40\)\( T^{10} + \)\(40\!\cdots\!04\)\( T^{12} + \)\(43\!\cdots\!40\)\( T^{14} + \)\(66\!\cdots\!21\)\( T^{16} )^{2} \))(\( ( 1 + 587060 T^{2} + 488939480164 T^{4} + 171323230290926060 T^{6} + \)\(72\!\cdots\!98\)\( T^{8} + \)\(15\!\cdots\!40\)\( T^{10} + \)\(40\!\cdots\!04\)\( T^{12} + \)\(43\!\cdots\!40\)\( T^{14} + \)\(66\!\cdots\!21\)\( T^{16} )^{2} \))
$71$ (\( 1 + 36 T + 357911 T^{2} \))(\( 1 + 8 T + 357911 T^{2} \))(\( 1 - 36 T + 357911 T^{2} \))(\( 1 + 840 T + 357911 T^{2} \))(\( 1 - 286 T + 357911 T^{2} \))(\( 1 + 236 T + 357911 T^{2} \))(\( 1 - 296 T + 357911 T^{2} \))(\( 1 + 864 T + 357911 T^{2} \))(\( 1 - 678 T + 357911 T^{2} \))(\( 1 - 552 T + 357911 T^{2} \))(\( 1 + 272 T + 357911 T^{2} \))(\( 1 + 54 T + 357911 T^{2} \))(\( 1 + 940 T + 357911 T^{2} \))(\( 1 - 720 T + 357911 T^{2} \))(\( 1 - 36 T + 357911 T^{2} \))(\( 1 - 8 T + 357911 T^{2} \))(\( 1 - 840 T + 357911 T^{2} \))(\( 1 + 36 T + 357911 T^{2} \))(\( 1 + 286 T + 357911 T^{2} \))(\( 1 - 236 T + 357911 T^{2} \))(\( 1 - 864 T + 357911 T^{2} \))(\( 1 + 296 T + 357911 T^{2} \))(\( 1 + 678 T + 357911 T^{2} \))(\( 1 - 272 T + 357911 T^{2} \))(\( 1 + 552 T + 357911 T^{2} \))(\( 1 - 54 T + 357911 T^{2} \))(\( 1 + 720 T + 357911 T^{2} \))(\( 1 - 940 T + 357911 T^{2} \))(\( 1 + 508 T + 544870 T^{2} + 181818788 T^{3} + 128100283921 T^{4} \))(\( 1 + 1710 T + 1336222 T^{2} + 612027810 T^{3} + 128100283921 T^{4} \))(\( 1 - 814 T + 878046 T^{2} - 291339554 T^{3} + 128100283921 T^{4} \))(\( 1 + 164 T + 140646 T^{2} + 58697404 T^{3} + 128100283921 T^{4} \))(\( 1 - 954 T + 930526 T^{2} - 341447094 T^{3} + 128100283921 T^{4} \))(\( 1 + 672 T + 443770 T^{2} + 240516192 T^{3} + 128100283921 T^{4} \))(\( 1 - 534 T + 746334 T^{2} - 191124474 T^{3} + 128100283921 T^{4} \))(\( 1 + 1102 T + 967998 T^{2} + 394417922 T^{3} + 128100283921 T^{4} \))(\( 1 - 508 T + 544870 T^{2} - 181818788 T^{3} + 128100283921 T^{4} \))(\( 1 - 1710 T + 1336222 T^{2} - 612027810 T^{3} + 128100283921 T^{4} \))(\( 1 + 814 T + 878046 T^{2} + 291339554 T^{3} + 128100283921 T^{4} \))(\( 1 - 164 T + 140646 T^{2} - 58697404 T^{3} + 128100283921 T^{4} \))(\( 1 + 954 T + 930526 T^{2} + 341447094 T^{3} + 128100283921 T^{4} \))(\( 1 - 672 T + 443770 T^{2} - 240516192 T^{3} + 128100283921 T^{4} \))(\( 1 + 534 T + 746334 T^{2} + 191124474 T^{3} + 128100283921 T^{4} \))(\( 1 - 1102 T + 967998 T^{2} - 394417922 T^{3} + 128100283921 T^{4} \))(\( 1 + 456 T + 1036977 T^{2} + 306768720 T^{3} + 371145475047 T^{4} + 58413729467976 T^{5} + 45848500718449031 T^{6} \))(\( 1 - 160 T + 165933 T^{2} - 373241120 T^{3} + 59389245963 T^{4} - 20496045427360 T^{5} + 45848500718449031 T^{6} \))(\( 1 - 456 T + 1036977 T^{2} - 306768720 T^{3} + 371145475047 T^{4} - 58413729467976 T^{5} + 45848500718449031 T^{6} \))(\( 1 + 160 T + 165933 T^{2} + 373241120 T^{3} + 59389245963 T^{4} + 20496045427360 T^{5} + 45848500718449031 T^{6} \))(\( 1 - 53122 T^{2} + 128100283921 T^{4} \))(\( 1 - 683848 T^{2} + 128100283921 T^{4} \))(\( 1 - 683848 T^{2} + 128100283921 T^{4} \))(\( 1 - 53122 T^{2} + 128100283921 T^{4} \))(\( 1 - 1345636 T^{2} + 1085567531464 T^{4} - 599054164045845100 T^{6} + \)\(24\!\cdots\!66\)\( T^{8} - \)\(76\!\cdots\!00\)\( T^{10} + \)\(17\!\cdots\!24\)\( T^{12} - \)\(28\!\cdots\!96\)\( T^{14} + \)\(26\!\cdots\!81\)\( T^{16} \))(\( 1 - 1345636 T^{2} + 1085567531464 T^{4} - 599054164045845100 T^{6} + \)\(24\!\cdots\!66\)\( T^{8} - \)\(76\!\cdots\!00\)\( T^{10} + \)\(17\!\cdots\!24\)\( T^{12} - \)\(28\!\cdots\!96\)\( T^{14} + \)\(26\!\cdots\!81\)\( T^{16} \))(\( 1 - 2919094 T^{2} + 4283951535986 T^{4} - 4104693796296127926 T^{6} + \)\(28\!\cdots\!15\)\( T^{8} - \)\(14\!\cdots\!16\)\( T^{10} + \)\(60\!\cdots\!48\)\( T^{12} - \)\(19\!\cdots\!36\)\( T^{14} + \)\(46\!\cdots\!15\)\( T^{16} - \)\(86\!\cdots\!86\)\( T^{18} + \)\(11\!\cdots\!66\)\( T^{20} - \)\(10\!\cdots\!94\)\( T^{22} + \)\(44\!\cdots\!21\)\( T^{24} \))(\( 1 - 2919094 T^{2} + 4283951535986 T^{4} - 4104693796296127926 T^{6} + \)\(28\!\cdots\!15\)\( T^{8} - \)\(14\!\cdots\!16\)\( T^{10} + \)\(60\!\cdots\!48\)\( T^{12} - \)\(19\!\cdots\!36\)\( T^{14} + \)\(46\!\cdots\!15\)\( T^{16} - \)\(86\!\cdots\!86\)\( T^{18} + \)\(11\!\cdots\!66\)\( T^{20} - \)\(10\!\cdots\!94\)\( T^{22} + \)\(44\!\cdots\!21\)\( T^{24} \))(\( ( 1 - 1274 T + 1393979 T^{2} - 907718700 T^{3} + 498920417869 T^{4} - 163199761715354 T^{5} + 45848500718449031 T^{6} )^{2} \))(\( ( 1 - 582 T + 935219 T^{2} - 326943684 T^{3} + 334725167509 T^{4} - 74554365242022 T^{5} + 45848500718449031 T^{6} )^{2} \))(\( ( 1 + 582 T + 935219 T^{2} + 326943684 T^{3} + 334725167509 T^{4} + 74554365242022 T^{5} + 45848500718449031 T^{6} )^{2} \))(\( ( 1 + 1274 T + 1393979 T^{2} + 907718700 T^{3} + 498920417869 T^{4} + 163199761715354 T^{5} + 45848500718449031 T^{6} )^{2} \))(\( ( 1 - 696 T + 2135218 T^{2} - 1199917176 T^{3} + 1898371124259 T^{4} - 842565827463360 T^{5} + 903563010964919732 T^{6} - \)\(30\!\cdots\!60\)\( T^{7} + \)\(24\!\cdots\!39\)\( T^{8} - \)\(55\!\cdots\!56\)\( T^{9} + \)\(35\!\cdots\!38\)\( T^{10} - \)\(40\!\cdots\!96\)\( T^{11} + \)\(21\!\cdots\!61\)\( T^{12} )^{2} \))(\( ( 1 + 2552 T + 4515986 T^{2} + 5552630776 T^{3} + 5492941824291 T^{4} + 4339723907985856 T^{5} + 2866937745918299380 T^{6} + \)\(15\!\cdots\!16\)\( T^{7} + \)\(70\!\cdots\!11\)\( T^{8} + \)\(25\!\cdots\!56\)\( T^{9} + \)\(74\!\cdots\!26\)\( T^{10} + \)\(14\!\cdots\!52\)\( T^{11} + \)\(21\!\cdots\!61\)\( T^{12} )^{2} \))(\( ( 1 - 2552 T + 4515986 T^{2} - 5552630776 T^{3} + 5492941824291 T^{4} - 4339723907985856 T^{5} + 2866937745918299380 T^{6} - \)\(15\!\cdots\!16\)\( T^{7} + \)\(70\!\cdots\!11\)\( T^{8} - \)\(25\!\cdots\!56\)\( T^{9} + \)\(74\!\cdots\!26\)\( T^{10} - \)\(14\!\cdots\!52\)\( T^{11} + \)\(21\!\cdots\!61\)\( T^{12} )^{2} \))(\( ( 1 + 696 T + 2135218 T^{2} + 1199917176 T^{3} + 1898371124259 T^{4} + 842565827463360 T^{5} + 903563010964919732 T^{6} + \)\(30\!\cdots\!60\)\( T^{7} + \)\(24\!\cdots\!39\)\( T^{8} + \)\(55\!\cdots\!56\)\( T^{9} + \)\(35\!\cdots\!38\)\( T^{10} + \)\(40\!\cdots\!96\)\( T^{11} + \)\(21\!\cdots\!61\)\( T^{12} )^{2} \))(\( ( 1 - 899416 T^{2} + 365984505388 T^{4} - 188243200946126104 T^{6} + \)\(90\!\cdots\!78\)\( T^{8} - \)\(24\!\cdots\!84\)\( T^{10} + \)\(60\!\cdots\!08\)\( T^{12} - \)\(18\!\cdots\!76\)\( T^{14} + \)\(26\!\cdots\!81\)\( T^{16} )^{2} \))(\( ( 1 - 899416 T^{2} + 365984505388 T^{4} - 188243200946126104 T^{6} + \)\(90\!\cdots\!78\)\( T^{8} - \)\(24\!\cdots\!84\)\( T^{10} + \)\(60\!\cdots\!08\)\( T^{12} - \)\(18\!\cdots\!76\)\( T^{14} + \)\(26\!\cdots\!81\)\( T^{16} )^{2} \))
$73$ (\( 1 - 1010 T + 389017 T^{2} \))(\( 1 + 422 T + 389017 T^{2} \))(\( 1 + 654 T + 389017 T^{2} \))(\( 1 - 890 T + 389017 T^{2} \))(\( 1 + 530 T + 389017 T^{2} \))(\( 1 - 418 T + 389017 T^{2} \))(\( 1 + 518 T + 389017 T^{2} \))(\( 1 - 106 T + 389017 T^{2} \))(\( 1 + 642 T + 389017 T^{2} \))(\( 1 + 614 T + 389017 T^{2} \))(\( 1 + 86 T + 389017 T^{2} \))(\( 1 - 742 T + 389017 T^{2} \))(\( 1 - 178 T + 389017 T^{2} \))(\( 1 + 502 T + 389017 T^{2} \))(\( 1 - 1010 T + 389017 T^{2} \))(\( 1 + 422 T + 389017 T^{2} \))(\( 1 - 890 T + 389017 T^{2} \))(\( 1 + 654 T + 389017 T^{2} \))(\( 1 + 530 T + 389017 T^{2} \))(\( 1 - 418 T + 389017 T^{2} \))(\( 1 - 106 T + 389017 T^{2} \))(\( 1 + 518 T + 389017 T^{2} \))(\( 1 + 642 T + 389017 T^{2} \))(\( 1 + 86 T + 389017 T^{2} \))(\( 1 + 614 T + 389017 T^{2} \))(\( 1 - 742 T + 389017 T^{2} \))(\( 1 + 502 T + 389017 T^{2} \))(\( 1 - 178 T + 389017 T^{2} \))(\( 1 - 12 T + 276518 T^{2} - 4668204 T^{3} + 151334226289 T^{4} \))(\( 1 + 1312 T + 1201998 T^{2} + 510390304 T^{3} + 151334226289 T^{4} \))(\( 1 + 216 T + 499806 T^{2} + 84027672 T^{3} + 151334226289 T^{4} \))(\( 1 - 1500 T + 1319238 T^{2} - 583525500 T^{3} + 151334226289 T^{4} \))(\( 1 - 1072 T + 1063278 T^{2} - 417026224 T^{3} + 151334226289 T^{4} \))(\( 1 + 1084 T + 1071206 T^{2} + 421694428 T^{3} + 151334226289 T^{4} \))(\( 1 - 1128 T + 1062430 T^{2} - 438811176 T^{3} + 151334226289 T^{4} \))(\( 1 + 240 T + 253806 T^{2} + 93364080 T^{3} + 151334226289 T^{4} \))(\( 1 - 12 T + 276518 T^{2} - 4668204 T^{3} + 151334226289 T^{4} \))(\( 1 + 1312 T + 1201998 T^{2} + 510390304 T^{3} + 151334226289 T^{4} \))(\( 1 + 216 T + 499806 T^{2} + 84027672 T^{3} + 151334226289 T^{4} \))(\( 1 - 1500 T + 1319238 T^{2} - 583525500 T^{3} + 151334226289 T^{4} \))(\( 1 - 1072 T + 1063278 T^{2} - 417026224 T^{3} + 151334226289 T^{4} \))(\( 1 + 1084 T + 1071206 T^{2} + 421694428 T^{3} + 151334226289 T^{4} \))(\( 1 - 1128 T + 1062430 T^{2} - 438811176 T^{3} + 151334226289 T^{4} \))(\( 1 + 240 T + 253806 T^{2} + 93364080 T^{3} + 151334226289 T^{4} \))(\( 1 - 1230 T + 728103 T^{2} - 316731204 T^{3} + 283244444751 T^{4} - 186141098335470 T^{5} + 58871586708267913 T^{6} \))(\( 1 + 1170 T + 1041751 T^{2} + 572317980 T^{3} + 405258848767 T^{4} + 177061044758130 T^{5} + 58871586708267913 T^{6} \))(\( 1 - 1230 T + 728103 T^{2} - 316731204 T^{3} + 283244444751 T^{4} - 186141098335470 T^{5} + 58871586708267913 T^{6} \))(\( 1 + 1170 T + 1041751 T^{2} + 572317980 T^{3} + 405258848767 T^{4} + 177061044758130 T^{5} + 58871586708267913 T^{6} \))(\( 1 - 762482 T^{2} + 151334226289 T^{4} \))(\( 1 - 340634 T^{2} + 151334226289 T^{4} \))(\( 1 - 340634 T^{2} + 151334226289 T^{4} \))(\( 1 - 762482 T^{2} + 151334226289 T^{4} \))(\( 1 - 1739480 T^{2} + 1687675343356 T^{4} - 1071753557470214888 T^{6} + \)\(49\!\cdots\!98\)\( T^{8} - \)\(16\!\cdots\!32\)\( T^{10} + \)\(38\!\cdots\!76\)\( T^{12} - \)\(60\!\cdots\!20\)\( T^{14} + \)\(52\!\cdots\!41\)\( T^{16} \))(\( 1 - 1739480 T^{2} + 1687675343356 T^{4} - 1071753557470214888 T^{6} + \)\(49\!\cdots\!98\)\( T^{8} - \)\(16\!\cdots\!32\)\( T^{10} + \)\(38\!\cdots\!76\)\( T^{12} - \)\(60\!\cdots\!20\)\( T^{14} + \)\(52\!\cdots\!41\)\( T^{16} \))(\( 1 - 1439236 T^{2} + 1102003928274 T^{4} - 451513704340917812 T^{6} + \)\(43\!\cdots\!39\)\( T^{8} + \)\(61\!\cdots\!52\)\( T^{10} - \)\(39\!\cdots\!08\)\( T^{12} + \)\(92\!\cdots\!28\)\( T^{14} + \)\(98\!\cdots\!19\)\( T^{16} - \)\(15\!\cdots\!28\)\( T^{18} + \)\(57\!\cdots\!34\)\( T^{20} - \)\(11\!\cdots\!64\)\( T^{22} + \)\(12\!\cdots\!61\)\( T^{24} \))(\( 1 - 1439236 T^{2} + 1102003928274 T^{4} - 451513704340917812 T^{6} + \)\(43\!\cdots\!39\)\( T^{8} + \)\(61\!\cdots\!52\)\( T^{10} - \)\(39\!\cdots\!08\)\( T^{12} + \)\(92\!\cdots\!28\)\( T^{14} + \)\(98\!\cdots\!19\)\( T^{16} - \)\(15\!\cdots\!28\)\( T^{18} + \)\(57\!\cdots\!34\)\( T^{20} - \)\(11\!\cdots\!64\)\( T^{22} + \)\(12\!\cdots\!61\)\( T^{24} \))(\( ( 1 - 222 T + 504927 T^{2} + 53720844 T^{3} + 196425186759 T^{4} - 33596198236158 T^{5} + 58871586708267913 T^{6} )^{2} \))(\( ( 1 + 138 T + 196095 T^{2} - 293744388 T^{3} + 76284288615 T^{4} + 20884123227882 T^{5} + 58871586708267913 T^{6} )^{2} \))(\( ( 1 + 138 T + 196095 T^{2} - 293744388 T^{3} + 76284288615 T^{4} + 20884123227882 T^{5} + 58871586708267913 T^{6} )^{2} \))(\( ( 1 - 222 T + 504927 T^{2} + 53720844 T^{3} + 196425186759 T^{4} - 33596198236158 T^{5} + 58871586708267913 T^{6} )^{2} \))(\( ( 1 - 1236 T + 2127762 T^{2} - 1916170980 T^{3} + 1856122702911 T^{4} - 1305794905816872 T^{5} + 917834523672580796 T^{6} - \)\(50\!\cdots\!24\)\( T^{7} + \)\(28\!\cdots\!79\)\( T^{8} - \)\(11\!\cdots\!40\)\( T^{9} + \)\(48\!\cdots\!02\)\( T^{10} - \)\(11\!\cdots\!52\)\( T^{11} + \)\(34\!\cdots\!69\)\( T^{12} )^{2} \))(\( ( 1 + 876 T + 1916946 T^{2} + 1591658844 T^{3} + 1666007295039 T^{4} + 1196172306623064 T^{5} + 832850944706281916 T^{6} + \)\(46\!\cdots\!88\)\( T^{7} + \)\(25\!\cdots\!71\)\( T^{8} + \)\(93\!\cdots\!72\)\( T^{9} + \)\(43\!\cdots\!66\)\( T^{10} + \)\(78\!\cdots\!32\)\( T^{11} + \)\(34\!\cdots\!69\)\( T^{12} )^{2} \))(\( ( 1 + 876 T + 1916946 T^{2} + 1591658844 T^{3} + 1666007295039 T^{4} + 1196172306623064 T^{5} + 832850944706281916 T^{6} + \)\(46\!\cdots\!88\)\( T^{7} + \)\(25\!\cdots\!71\)\( T^{8} + \)\(93\!\cdots\!72\)\( T^{9} + \)\(43\!\cdots\!66\)\( T^{10} + \)\(78\!\cdots\!32\)\( T^{11} + \)\(34\!\cdots\!69\)\( T^{12} )^{2} \))(\( ( 1 - 1236 T + 2127762 T^{2} - 1916170980 T^{3} + 1856122702911 T^{4} - 1305794905816872 T^{5} + 917834523672580796 T^{6} - \)\(50\!\cdots\!24\)\( T^{7} + \)\(28\!\cdots\!79\)\( T^{8} - \)\(11\!\cdots\!40\)\( T^{9} + \)\(48\!\cdots\!02\)\( T^{10} - \)\(11\!\cdots\!52\)\( T^{11} + \)\(34\!\cdots\!69\)\( T^{12} )^{2} \))(\( ( 1 - 1384040 T^{2} + 558351307036 T^{4} + 94383501069774760 T^{6} - \)\(12\!\cdots\!62\)\( T^{8} + \)\(14\!\cdots\!40\)\( T^{10} + \)\(12\!\cdots\!56\)\( T^{12} - \)\(47\!\cdots\!60\)\( T^{14} + \)\(52\!\cdots\!41\)\( T^{16} )^{2} \))(\( ( 1 - 1384040 T^{2} + 558351307036 T^{4} + 94383501069774760 T^{6} - \)\(12\!\cdots\!62\)\( T^{8} + \)\(14\!\cdots\!40\)\( T^{10} + \)\(12\!\cdots\!56\)\( T^{12} - \)\(47\!\cdots\!60\)\( T^{14} + \)\(52\!\cdots\!41\)\( T^{16} )^{2} \))
$79$ (\( 1 + 56 T + 493039 T^{2} \))(\( 1 - 384 T + 493039 T^{2} \))(\( 1 - 608 T + 493039 T^{2} \))(\( 1 + 80 T + 493039 T^{2} \))(\( 1 - 44 T + 493039 T^{2} \))(\( 1 - 552 T + 493039 T^{2} \))(\( 1 + 1184 T + 493039 T^{2} \))(\( 1 + 736 T + 493039 T^{2} \))(\( 1 + 740 T + 493039 T^{2} \))(\( 1 + 880 T + 493039 T^{2} \))(\( 1 - 1360 T + 493039 T^{2} \))(\( 1 + 92 T + 493039 T^{2} \))(\( 1 - 1072 T + 493039 T^{2} \))(\( 1 - 1024 T + 493039 T^{2} \))(\( 1 - 56 T + 493039 T^{2} \))(\( 1 + 384 T + 493039 T^{2} \))(\( 1 - 80 T + 493039 T^{2} \))(\( 1 + 608 T + 493039 T^{2} \))(\( 1 + 44 T + 493039 T^{2} \))(\( 1 + 552 T + 493039 T^{2} \))(\( 1 - 736 T + 493039 T^{2} \))(\( 1 - 1184 T + 493039 T^{2} \))(\( 1 - 740 T + 493039 T^{2} \))(\( 1 + 1360 T + 493039 T^{2} \))(\( 1 - 880 T + 493039 T^{2} \))(\( 1 - 92 T + 493039 T^{2} \))(\( 1 + 1024 T + 493039 T^{2} \))(\( 1 + 1072 T + 493039 T^{2} \))(\( 1 + 344 T + 1009470 T^{2} + 169605416 T^{3} + 243087455521 T^{4} \))(\( 1 + 556 T + 751134 T^{2} + 274129684 T^{3} + 243087455521 T^{4} \))(\( 1 - 1580 T + 1543870 T^{2} - 779001620 T^{3} + 243087455521 T^{4} \))(\( 1 + 1640 T + 1417534 T^{2} + 808583960 T^{3} + 243087455521 T^{4} \))(\( 1 + 572 T + 901662 T^{2} + 282018308 T^{3} + 243087455521 T^{4} \))(\( 1 - 736 T + 907790 T^{2} - 362876704 T^{3} + 243087455521 T^{4} \))(\( 1 + 468 T - 92834 T^{2} + 230742252 T^{3} + 243087455521 T^{4} \))(\( 1 + 412 T + 837502 T^{2} + 203132068 T^{3} + 243087455521 T^{4} \))(\( 1 - 344 T + 1009470 T^{2} - 169605416 T^{3} + 243087455521 T^{4} \))(\( 1 - 556 T + 751134 T^{2} - 274129684 T^{3} + 243087455521 T^{4} \))(\( 1 + 1580 T + 1543870 T^{2} + 779001620 T^{3} + 243087455521 T^{4} \))(\( 1 - 1640 T + 1417534 T^{2} - 808583960 T^{3} + 243087455521 T^{4} \))(\( 1 - 572 T + 901662 T^{2} - 282018308 T^{3} + 243087455521 T^{4} \))(\( 1 + 736 T + 907790 T^{2} + 362876704 T^{3} + 243087455521 T^{4} \))(\( 1 - 468 T - 92834 T^{2} - 230742252 T^{3} + 243087455521 T^{4} \))(\( 1 - 412 T + 837502 T^{2} - 203132068 T^{3} + 243087455521 T^{4} \))(\( 1 + 1368 T + 1704573 T^{2} + 1166236880 T^{3} + 840420967347 T^{4} + 332543639152728 T^{5} + 119851595982618319 T^{6} \))(\( 1 - 840 T + 1558957 T^{2} - 798709360 T^{3} + 768626600323 T^{4} - 204193462637640 T^{5} + 119851595982618319 T^{6} \))(\( 1 - 1368 T + 1704573 T^{2} - 1166236880 T^{3} + 840420967347 T^{4} - 332543639152728 T^{5} + 119851595982618319 T^{6} \))(\( 1 + 840 T + 1558957 T^{2} + 798709360 T^{3} + 768626600323 T^{4} + 204193462637640 T^{5} + 119851595982618319 T^{6} \))(\( 1 + 905230 T^{2} + 243087455521 T^{4} \))(\( 1 + 72322 T^{2} + 243087455521 T^{4} \))(\( 1 + 72322 T^{2} + 243087455521 T^{4} \))(\( 1 + 905230 T^{2} + 243087455521 T^{4} \))(\( 1 - 3231392 T^{2} + 4863579897916 T^{4} - 4425141721050671456 T^{6} + \)\(26\!\cdots\!14\)\( T^{8} - \)\(10\!\cdots\!76\)\( T^{10} + \)\(28\!\cdots\!56\)\( T^{12} - \)\(46\!\cdots\!12\)\( T^{14} + \)\(34\!\cdots\!81\)\( T^{16} \))(\( 1 - 3231392 T^{2} + 4863579897916 T^{4} - 4425141721050671456 T^{6} + \)\(26\!\cdots\!14\)\( T^{8} - \)\(10\!\cdots\!76\)\( T^{10} + \)\(28\!\cdots\!56\)\( T^{12} - \)\(46\!\cdots\!12\)\( T^{14} + \)\(34\!\cdots\!81\)\( T^{16} \))(\( 1 - 2332448 T^{2} + 3331150435450 T^{4} - 3366161588747882144 T^{6} + \)\(26\!\cdots\!99\)\( T^{8} - \)\(17\!\cdots\!80\)\( T^{10} + \)\(93\!\cdots\!24\)\( T^{12} - \)\(42\!\cdots\!80\)\( T^{14} + \)\(15\!\cdots\!59\)\( T^{16} - \)\(48\!\cdots\!84\)\( T^{18} + \)\(11\!\cdots\!50\)\( T^{20} - \)\(19\!\cdots\!48\)\( T^{22} + \)\(20\!\cdots\!21\)\( T^{24} \))(\( 1 - 2332448 T^{2} + 3331150435450 T^{4} - 3366161588747882144 T^{6} + \)\(26\!\cdots\!99\)\( T^{8} - \)\(17\!\cdots\!80\)\( T^{10} + \)\(93\!\cdots\!24\)\( T^{12} - \)\(42\!\cdots\!80\)\( T^{14} + \)\(15\!\cdots\!59\)\( T^{16} - \)\(48\!\cdots\!84\)\( T^{18} + \)\(11\!\cdots\!50\)\( T^{20} - \)\(19\!\cdots\!48\)\( T^{22} + \)\(20\!\cdots\!21\)\( T^{24} \))(\( ( 1 - 1764 T + 2447493 T^{2} - 1897148344 T^{3} + 1206709501227 T^{4} - 428806271539044 T^{5} + 119851595982618319 T^{6} )^{2} \))(\( ( 1 + 676 T + 964933 T^{2} + 319327160 T^{3} + 475749601387 T^{4} + 164327119932196 T^{5} + 119851595982618319 T^{6} )^{2} \))(\( ( 1 - 676 T + 964933 T^{2} - 319327160 T^{3} + 475749601387 T^{4} - 164327119932196 T^{5} + 119851595982618319 T^{6} )^{2} \))(\( ( 1 + 1764 T + 2447493 T^{2} + 1897148344 T^{3} + 1206709501227 T^{4} + 428806271539044 T^{5} + 119851595982618319 T^{6} )^{2} \))(\( ( 1 + 272 T + 750810 T^{2} + 356280240 T^{3} + 483790660399 T^{4} + 263756558092448 T^{5} + 214190592685760812 T^{6} + \)\(13\!\cdots\!72\)\( T^{7} + \)\(11\!\cdots\!79\)\( T^{8} + \)\(42\!\cdots\!60\)\( T^{9} + \)\(44\!\cdots\!10\)\( T^{10} + \)\(79\!\cdots\!28\)\( T^{11} + \)\(14\!\cdots\!61\)\( T^{12} )^{2} \))(\( ( 1 + 816 T + 2071002 T^{2} + 1239082000 T^{3} + 1884757796655 T^{4} + 879117828197088 T^{5} + 1089786342660116268 T^{6} + \)\(43\!\cdots\!32\)\( T^{7} + \)\(45\!\cdots\!55\)\( T^{8} + \)\(14\!\cdots\!00\)\( T^{9} + \)\(12\!\cdots\!82\)\( T^{10} + \)\(23\!\cdots\!84\)\( T^{11} + \)\(14\!\cdots\!61\)\( T^{12} )^{2} \))(\( ( 1 - 816 T + 2071002 T^{2} - 1239082000 T^{3} + 1884757796655 T^{4} - 879117828197088 T^{5} + 1089786342660116268 T^{6} - \)\(43\!\cdots\!32\)\( T^{7} + \)\(45\!\cdots\!55\)\( T^{8} - \)\(14\!\cdots\!00\)\( T^{9} + \)\(12\!\cdots\!82\)\( T^{10} - \)\(23\!\cdots\!84\)\( T^{11} + \)\(14\!\cdots\!61\)\( T^{12} )^{2} \))(\( ( 1 - 272 T + 750810 T^{2} - 356280240 T^{3} + 483790660399 T^{4} - 263756558092448 T^{5} + 214190592685760812 T^{6} - \)\(13\!\cdots\!72\)\( T^{7} + \)\(11\!\cdots\!79\)\( T^{8} - \)\(42\!\cdots\!60\)\( T^{9} + \)\(44\!\cdots\!10\)\( T^{10} - \)\(79\!\cdots\!28\)\( T^{11} + \)\(14\!\cdots\!61\)\( T^{12} )^{2} \))(\( ( 1 - 2278468 T^{2} + 2588001045652 T^{4} - 2017850053027371964 T^{6} + \)\(11\!\cdots\!94\)\( T^{8} - \)\(49\!\cdots\!44\)\( T^{10} + \)\(15\!\cdots\!32\)\( T^{12} - \)\(32\!\cdots\!48\)\( T^{14} + \)\(34\!\cdots\!81\)\( T^{16} )^{2} \))(\( ( 1 - 2278468 T^{2} + 2588001045652 T^{4} - 2017850053027371964 T^{6} + \)\(11\!\cdots\!94\)\( T^{8} - \)\(49\!\cdots\!44\)\( T^{10} + \)\(15\!\cdots\!32\)\( T^{12} - \)\(32\!\cdots\!48\)\( T^{14} + \)\(34\!\cdots\!81\)\( T^{16} )^{2} \))
$83$ (\( 1 - 228 T + 571787 T^{2} \))(\( 1 - 548 T + 571787 T^{2} \))(\( 1 - 284 T + 571787 T^{2} \))(\( 1 + 108 T + 571787 T^{2} \))(\( 1 - 1012 T + 571787 T^{2} \))(\( 1 + 1036 T + 571787 T^{2} \))(\( 1 + 220 T + 571787 T^{2} \))(\( 1 + 588 T + 571787 T^{2} \))(\( 1 - 468 T + 571787 T^{2} \))(\( 1 + 108 T + 571787 T^{2} \))(\( 1 + 188 T + 571787 T^{2} \))(\( 1 - 228 T + 571787 T^{2} \))(\( 1 + 660 T + 571787 T^{2} \))(\( 1 + 204 T + 571787 T^{2} \))(\( 1 + 228 T + 571787 T^{2} \))(\( 1 + 548 T + 571787 T^{2} \))(\( 1 - 108 T + 571787 T^{2} \))(\( 1 + 284 T + 571787 T^{2} \))(\( 1 + 1012 T + 571787 T^{2} \))(\( 1 - 1036 T + 571787 T^{2} \))(\( 1 - 588 T + 571787 T^{2} \))(\( 1 - 220 T + 571787 T^{2} \))(\( 1 + 468 T + 571787 T^{2} \))(\( 1 - 188 T + 571787 T^{2} \))(\( 1 - 108 T + 571787 T^{2} \))(\( 1 + 228 T + 571787 T^{2} \))(\( 1 - 204 T + 571787 T^{2} \))(\( 1 - 660 T + 571787 T^{2} \))(\( 1 - 280 T + 458662 T^{2} - 160100360 T^{3} + 326940373369 T^{4} \))(\( 1 - 264 T + 979750 T^{2} - 150951768 T^{3} + 326940373369 T^{4} \))(\( 1 + 464 T + 1195206 T^{2} + 265309168 T^{3} + 326940373369 T^{4} \))(\( 1 - 2200 T + 2283174 T^{2} - 1257931400 T^{3} + 326940373369 T^{4} \))(\( 1 + 1944 T + 1957030 T^{2} + 1111553928 T^{3} + 326940373369 T^{4} \))(\( 1 + 280 T + 926374 T^{2} + 160100360 T^{3} + 326940373369 T^{4} \))(\( 1 + 824 T + 536870 T^{2} + 471152488 T^{3} + 326940373369 T^{4} \))(\( 1 - 464 T + 740166 T^{2} - 265309168 T^{3} + 326940373369 T^{4} \))(\( 1 + 280 T + 458662 T^{2} + 160100360 T^{3} + 326940373369 T^{4} \))(\( 1 + 264 T + 979750 T^{2} + 150951768 T^{3} + 326940373369 T^{4} \))(\( 1 - 464 T + 1195206 T^{2} - 265309168 T^{3} + 326940373369 T^{4} \))(\( 1 + 2200 T + 2283174 T^{2} + 1257931400 T^{3} + 326940373369 T^{4} \))(\( 1 - 1944 T + 1957030 T^{2} - 1111553928 T^{3} + 326940373369 T^{4} \))(\( 1 - 280 T + 926374 T^{2} - 160100360 T^{3} + 326940373369 T^{4} \))(\( 1 - 824 T + 536870 T^{2} - 471152488 T^{3} + 326940373369 T^{4} \))(\( 1 + 464 T + 740166 T^{2} + 265309168 T^{3} + 326940373369 T^{4} \))(\( 1 + 60 T + 1039761 T^{2} - 22097560 T^{3} + 594521822907 T^{4} + 19616422402140 T^{5} + 186940255267540403 T^{6} \))(\( 1 + 1564 T + 2323793 T^{2} + 1821572008 T^{3} + 1328714628091 T^{4} + 511334743949116 T^{5} + 186940255267540403 T^{6} \))(\( 1 - 60 T + 1039761 T^{2} + 22097560 T^{3} + 594521822907 T^{4} - 19616422402140 T^{5} + 186940255267540403 T^{6} \))(\( 1 - 1564 T + 2323793 T^{2} - 1821572008 T^{3} + 1328714628091 T^{4} - 511334743949116 T^{5} + 186940255267540403 T^{6} \))(\( ( 1 + 252 T + 571787 T^{2} )^{2} \))(\( ( 1 - 864 T + 571787 T^{2} )^{2} \))(\( ( 1 + 864 T + 571787 T^{2} )^{2} \))(\( ( 1 - 252 T + 571787 T^{2} )^{2} \))(\( ( 1 - 840 T + 2002748 T^{2} - 1107399240 T^{3} + 1578867394614 T^{4} - 633196489241880 T^{5} + 654779178884018012 T^{6} - \)\(15\!\cdots\!20\)\( T^{7} + \)\(10\!\cdots\!61\)\( T^{8} )^{2} \))(\( ( 1 + 840 T + 2002748 T^{2} + 1107399240 T^{3} + 1578867394614 T^{4} + 633196489241880 T^{5} + 654779178884018012 T^{6} + \)\(15\!\cdots\!20\)\( T^{7} + \)\(10\!\cdots\!61\)\( T^{8} )^{2} \))(\( ( 1 + 484 T + 1270706 T^{2} + 875417788 T^{3} + 1295203458391 T^{4} + 787465212856936 T^{5} + 845488477438432156 T^{6} + \)\(45\!\cdots\!32\)\( T^{7} + \)\(42\!\cdots\!79\)\( T^{8} + \)\(16\!\cdots\!64\)\( T^{9} + \)\(13\!\cdots\!66\)\( T^{10} + \)\(29\!\cdots\!88\)\( T^{11} + \)\(34\!\cdots\!09\)\( T^{12} )^{2} \))(\( ( 1 - 484 T + 1270706 T^{2} - 875417788 T^{3} + 1295203458391 T^{4} - 787465212856936 T^{5} + 845488477438432156 T^{6} - \)\(45\!\cdots\!32\)\( T^{7} + \)\(42\!\cdots\!79\)\( T^{8} - \)\(16\!\cdots\!64\)\( T^{9} + \)\(13\!\cdots\!66\)\( T^{10} - \)\(29\!\cdots\!88\)\( T^{11} + \)\(34\!\cdots\!09\)\( T^{12} )^{2} \))(\( 1 - 2959458 T^{2} + 3870450759639 T^{4} - 2863930488145656892 T^{6} + \)\(12\!\cdots\!91\)\( T^{8} - \)\(31\!\cdots\!38\)\( T^{10} + \)\(34\!\cdots\!09\)\( T^{12} \))(\( 1 - 937250 T^{2} + 840335913175 T^{4} - 485522015972160700 T^{6} + \)\(27\!\cdots\!75\)\( T^{8} - \)\(10\!\cdots\!50\)\( T^{10} + \)\(34\!\cdots\!09\)\( T^{12} \))(\( 1 - 937250 T^{2} + 840335913175 T^{4} - 485522015972160700 T^{6} + \)\(27\!\cdots\!75\)\( T^{8} - \)\(10\!\cdots\!50\)\( T^{10} + \)\(34\!\cdots\!09\)\( T^{12} \))(\( 1 - 2959458 T^{2} + 3870450759639 T^{4} - 2863930488145656892 T^{6} + \)\(12\!\cdots\!91\)\( T^{8} - \)\(31\!\cdots\!38\)\( T^{10} + \)\(34\!\cdots\!09\)\( T^{12} \))(\( 1 - 4184836 T^{2} + 8602407841458 T^{4} - 11671447444036365396 T^{6} + \)\(11\!\cdots\!55\)\( T^{8} - \)\(92\!\cdots\!84\)\( T^{10} + \)\(59\!\cdots\!28\)\( T^{12} - \)\(30\!\cdots\!96\)\( T^{14} + \)\(12\!\cdots\!55\)\( T^{16} - \)\(40\!\cdots\!64\)\( T^{18} + \)\(98\!\cdots\!18\)\( T^{20} - \)\(15\!\cdots\!64\)\( T^{22} + \)\(12\!\cdots\!81\)\( T^{24} \))(\( 1 - 831108 T^{2} + 1342102185906 T^{4} - 894836032246345172 T^{6} + \)\(91\!\cdots\!35\)\( T^{8} - \)\(49\!\cdots\!48\)\( T^{10} + \)\(37\!\cdots\!12\)\( T^{12} - \)\(16\!\cdots\!12\)\( T^{14} + \)\(98\!\cdots\!35\)\( T^{16} - \)\(31\!\cdots\!48\)\( T^{18} + \)\(15\!\cdots\!26\)\( T^{20} - \)\(31\!\cdots\!92\)\( T^{22} + \)\(12\!\cdots\!81\)\( T^{24} \))(\( 1 - 831108 T^{2} + 1342102185906 T^{4} - 894836032246345172 T^{6} + \)\(91\!\cdots\!35\)\( T^{8} - \)\(49\!\cdots\!48\)\( T^{10} + \)\(37\!\cdots\!12\)\( T^{12} - \)\(16\!\cdots\!12\)\( T^{14} + \)\(98\!\cdots\!35\)\( T^{16} - \)\(31\!\cdots\!48\)\( T^{18} + \)\(15\!\cdots\!26\)\( T^{20} - \)\(31\!\cdots\!92\)\( T^{22} + \)\(12\!\cdots\!81\)\( T^{24} \))(\( 1 - 4184836 T^{2} + 8602407841458 T^{4} - 11671447444036365396 T^{6} + \)\(11\!\cdots\!55\)\( T^{8} - \)\(92\!\cdots\!84\)\( T^{10} + \)\(59\!\cdots\!28\)\( T^{12} - \)\(30\!\cdots\!96\)\( T^{14} + \)\(12\!\cdots\!55\)\( T^{16} - \)\(40\!\cdots\!64\)\( T^{18} + \)\(98\!\cdots\!18\)\( T^{20} - \)\(15\!\cdots\!64\)\( T^{22} + \)\(12\!\cdots\!81\)\( T^{24} \))(\( ( 1 - 3300888 T^{2} + 5070349161404 T^{4} - 4862176353116284776 T^{6} + \)\(32\!\cdots\!42\)\( T^{8} - \)\(15\!\cdots\!44\)\( T^{10} + \)\(54\!\cdots\!44\)\( T^{12} - \)\(11\!\cdots\!92\)\( T^{14} + \)\(11\!\cdots\!21\)\( T^{16} )^{2} \))(\( ( 1 - 3300888 T^{2} + 5070349161404 T^{4} - 4862176353116284776 T^{6} + \)\(32\!\cdots\!42\)\( T^{8} - \)\(15\!\cdots\!44\)\( T^{10} + \)\(54\!\cdots\!44\)\( T^{12} - \)\(11\!\cdots\!92\)\( T^{14} + \)\(11\!\cdots\!21\)\( T^{16} )^{2} \))
$89$ (\( 1 - 390 T + 704969 T^{2} \))(\( 1 - 1194 T + 704969 T^{2} \))(\( 1 + 954 T + 704969 T^{2} \))(\( 1 + 1638 T + 704969 T^{2} \))(\( 1 - 768 T + 704969 T^{2} \))(\( 1 - 30 T + 704969 T^{2} \))(\( 1 + 774 T + 704969 T^{2} \))(\( 1 - 146 T + 704969 T^{2} \))(\( 1 - 200 T + 704969 T^{2} \))(\( 1 + 86 T + 704969 T^{2} \))(\( 1 + 366 T + 704969 T^{2} \))(\( 1 + 116 T + 704969 T^{2} \))(\( 1 - 1254 T + 704969 T^{2} \))(\( 1 - 354 T + 704969 T^{2} \))(\( 1 - 390 T + 704969 T^{2} \))(\( 1 - 1194 T + 704969 T^{2} \))(\( 1 + 1638 T + 704969 T^{2} \))(\( 1 + 954 T + 704969 T^{2} \))(\( 1 - 768 T + 704969 T^{2} \))(\( 1 - 30 T + 704969 T^{2} \))(\( 1 - 146 T + 704969 T^{2} \))(\( 1 + 774 T + 704969 T^{2} \))(\( 1 - 200 T + 704969 T^{2} \))(\( 1 + 366 T + 704969 T^{2} \))(\( 1 + 86 T + 704969 T^{2} \))(\( 1 + 116 T + 704969 T^{2} \))(\( 1 - 354 T + 704969 T^{2} \))(\( 1 - 1254 T + 704969 T^{2} \))(\( 1 - 848 T + 1585414 T^{2} - 597813712 T^{3} + 496981290961 T^{4} \))(\( 1 - 70 T - 186262 T^{2} - 49347830 T^{3} + 496981290961 T^{4} \))(\( 1 + 1158 T + 708226 T^{2} + 816354102 T^{3} + 496981290961 T^{4} \))(\( 1 + 264 T + 761686 T^{2} + 186111816 T^{3} + 496981290961 T^{4} \))(\( 1 - 366 T + 1156090 T^{2} - 258018654 T^{3} + 496981290961 T^{4} \))(\( 1 - 948 T + 514402 T^{2} - 668310612 T^{3} + 496981290961 T^{4} \))(\( 1 + 2118 T + 2285746 T^{2} + 1493124342 T^{3} + 496981290961 T^{4} \))(\( 1 + 1746 T + 2127850 T^{2} + 1230875874 T^{3} + 496981290961 T^{4} \))(\( 1 - 848 T + 1585414 T^{2} - 597813712 T^{3} + 496981290961 T^{4} \))(\( 1 - 70 T - 186262 T^{2} - 49347830 T^{3} + 496981290961 T^{4} \))(\( 1 + 1158 T + 708226 T^{2} + 816354102 T^{3} + 496981290961 T^{4} \))(\( 1 + 264 T + 761686 T^{2} + 186111816 T^{3} + 496981290961 T^{4} \))(\( 1 - 366 T + 1156090 T^{2} - 258018654 T^{3} + 496981290961 T^{4} \))(\( 1 - 948 T + 514402 T^{2} - 668310612 T^{3} + 496981290961 T^{4} \))(\( 1 + 2118 T + 2285746 T^{2} + 1493124342 T^{3} + 496981290961 T^{4} \))(\( 1 + 1746 T + 2127850 T^{2} + 1230875874 T^{3} + 496981290961 T^{4} \))(\( 1 - 2742 T + 4361523 T^{2} - 4390387500 T^{3} + 3074738507787 T^{4} - 1362722699815062 T^{5} + 350356403707485209 T^{6} \))(\( 1 + 178 T + 1900335 T^{2} + 197453740 T^{3} + 1339677264615 T^{4} + 88462669791058 T^{5} + 350356403707485209 T^{6} \))(\( 1 - 2742 T + 4361523 T^{2} - 4390387500 T^{3} + 3074738507787 T^{4} - 1362722699815062 T^{5} + 350356403707485209 T^{6} \))(\( 1 + 178 T + 1900335 T^{2} + 197453740 T^{3} + 1339677264615 T^{4} + 88462669791058 T^{5} + 350356403707485209 T^{6} \))(\( 1 - 1363810 T^{2} + 496981290961 T^{4} \))(\( 1 + 256436 T^{2} + 496981290961 T^{4} \))(\( 1 + 256436 T^{2} + 496981290961 T^{4} \))(\( 1 - 1363810 T^{2} + 496981290961 T^{4} \))(\( 1 - 3966028 T^{2} + 7744575214072 T^{4} - 9543109070842050436 T^{6} + \)\(80\!\cdots\!46\)\( T^{8} - \)\(47\!\cdots\!96\)\( T^{10} + \)\(19\!\cdots\!12\)\( T^{12} - \)\(48\!\cdots\!68\)\( T^{14} + \)\(61\!\cdots\!41\)\( T^{16} \))(\( 1 - 3966028 T^{2} + 7744575214072 T^{4} - 9543109070842050436 T^{6} + \)\(80\!\cdots\!46\)\( T^{8} - \)\(47\!\cdots\!96\)\( T^{10} + \)\(19\!\cdots\!12\)\( T^{12} - \)\(48\!\cdots\!68\)\( T^{14} + \)\(61\!\cdots\!41\)\( T^{16} \))(\( 1 - 2324754 T^{2} + 3623829356426 T^{4} - 4250784438141992562 T^{6} + \)\(40\!\cdots\!59\)\( T^{8} - \)\(33\!\cdots\!12\)\( T^{10} + \)\(25\!\cdots\!84\)\( T^{12} - \)\(16\!\cdots\!32\)\( T^{14} + \)\(10\!\cdots\!39\)\( T^{16} - \)\(52\!\cdots\!22\)\( T^{18} + \)\(22\!\cdots\!66\)\( T^{20} - \)\(70\!\cdots\!54\)\( T^{22} + \)\(15\!\cdots\!61\)\( T^{24} \))(\( 1 - 2324754 T^{2} + 3623829356426 T^{4} - 4250784438141992562 T^{6} + \)\(40\!\cdots\!59\)\( T^{8} - \)\(33\!\cdots\!12\)\( T^{10} + \)\(25\!\cdots\!84\)\( T^{12} - \)\(16\!\cdots\!32\)\( T^{14} + \)\(10\!\cdots\!39\)\( T^{16} - \)\(52\!\cdots\!22\)\( T^{18} + \)\(22\!\cdots\!66\)\( T^{20} - \)\(70\!\cdots\!54\)\( T^{22} + \)\(15\!\cdots\!61\)\( T^{24} \))(\( ( 1 - 8 T + 1048133 T^{2} - 10589436 T^{3} + 738901272877 T^{4} - 3975850327688 T^{5} + 350356403707485209 T^{6} )^{2} \))(\( ( 1 - 1260 T + 2067965 T^{2} - 1773208500 T^{3} + 1457851218085 T^{4} - 626196426610860 T^{5} + 350356403707485209 T^{6} )^{2} \))(\( ( 1 - 1260 T + 2067965 T^{2} - 1773208500 T^{3} + 1457851218085 T^{4} - 626196426610860 T^{5} + 350356403707485209 T^{6} )^{2} \))(\( ( 1 - 8 T + 1048133 T^{2} - 10589436 T^{3} + 738901272877 T^{4} - 3975850327688 T^{5} + 350356403707485209 T^{6} )^{2} \))(\( ( 1 - 444 T + 2048410 T^{2} - 1436929740 T^{3} + 2578656109155 T^{4} - 1481899601232552 T^{5} + 2330845017747259652 T^{6} - \)\(10\!\cdots\!88\)\( T^{7} + \)\(12\!\cdots\!55\)\( T^{8} - \)\(50\!\cdots\!60\)\( T^{9} + \)\(50\!\cdots\!10\)\( T^{10} - \)\(77\!\cdots\!56\)\( T^{11} + \)\(12\!\cdots\!81\)\( T^{12} )^{2} \))(\( ( 1 + 1844 T + 4915034 T^{2} + 6008794948 T^{3} + 9012107570211 T^{4} + 8064053703159832 T^{5} + 8521433660652183172 T^{6} + \)\(56\!\cdots\!08\)\( T^{7} + \)\(44\!\cdots\!71\)\( T^{8} + \)\(21\!\cdots\!32\)\( T^{9} + \)\(12\!\cdots\!14\)\( T^{10} + \)\(32\!\cdots\!56\)\( T^{11} + \)\(12\!\cdots\!81\)\( T^{12} )^{2} \))(\( ( 1 + 1844 T + 4915034 T^{2} + 6008794948 T^{3} + 9012107570211 T^{4} + 8064053703159832 T^{5} + 8521433660652183172 T^{6} + \)\(56\!\cdots\!08\)\( T^{7} + \)\(44\!\cdots\!71\)\( T^{8} + \)\(21\!\cdots\!32\)\( T^{9} + \)\(12\!\cdots\!14\)\( T^{10} + \)\(32\!\cdots\!56\)\( T^{11} + \)\(12\!\cdots\!81\)\( T^{12} )^{2} \))(\( ( 1 - 444 T + 2048410 T^{2} - 1436929740 T^{3} + 2578656109155 T^{4} - 1481899601232552 T^{5} + 2330845017747259652 T^{6} - \)\(10\!\cdots\!88\)\( T^{7} + \)\(12\!\cdots\!55\)\( T^{8} - \)\(50\!\cdots\!60\)\( T^{9} + \)\(50\!\cdots\!10\)\( T^{10} - \)\(77\!\cdots\!56\)\( T^{11} + \)\(12\!\cdots\!81\)\( T^{12} )^{2} \))(\( ( 1 - 1663912 T^{2} + 2531994465772 T^{4} - 2533758901686246184 T^{6} + \)\(20\!\cdots\!94\)\( T^{8} - \)\(12\!\cdots\!24\)\( T^{10} + \)\(62\!\cdots\!12\)\( T^{12} - \)\(20\!\cdots\!72\)\( T^{14} + \)\(61\!\cdots\!41\)\( T^{16} )^{2} \))(\( ( 1 - 1663912 T^{2} + 2531994465772 T^{4} - 2533758901686246184 T^{6} + \)\(20\!\cdots\!94\)\( T^{8} - \)\(12\!\cdots\!24\)\( T^{10} + \)\(62\!\cdots\!12\)\( T^{12} - \)\(20\!\cdots\!72\)\( T^{14} + \)\(61\!\cdots\!41\)\( T^{16} )^{2} \))
$97$ (\( 1 + 70 T + 912673 T^{2} \))(\( 1 + 1502 T + 912673 T^{2} \))(\( 1 + 1694 T + 912673 T^{2} \))(\( 1 - 1010 T + 912673 T^{2} \))(\( 1 - 222 T + 912673 T^{2} \))(\( 1 + 1190 T + 912673 T^{2} \))(\( 1 + 1086 T + 912673 T^{2} \))(\( 1 + 1214 T + 912673 T^{2} \))(\( 1 + 1266 T + 912673 T^{2} \))(\( 1 - 1426 T + 912673 T^{2} \))(\( 1 - 1554 T + 912673 T^{2} \))(\( 1 + 554 T + 912673 T^{2} \))(\( 1 - 210 T + 912673 T^{2} \))(\( 1 + 286 T + 912673 T^{2} \))(\( 1 + 70 T + 912673 T^{2} \))(\( 1 + 1502 T + 912673 T^{2} \))(\( 1 - 1010 T + 912673 T^{2} \))(\( 1 + 1694 T + 912673 T^{2} \))(\( 1 - 222 T + 912673 T^{2} \))(\( 1 + 1190 T + 912673 T^{2} \))(\( 1 + 1214 T + 912673 T^{2} \))(\( 1 + 1086 T + 912673 T^{2} \))(\( 1 + 1266 T + 912673 T^{2} \))(\( 1 - 1554 T + 912673 T^{2} \))(\( 1 - 1426 T + 912673 T^{2} \))(\( 1 + 554 T + 912673 T^{2} \))(\( 1 + 286 T + 912673 T^{2} \))(\( 1 - 210 T + 912673 T^{2} \))(\( 1 - 1372 T + 2047574 T^{2} - 1252187356 T^{3} + 832972004929 T^{4} \))(\( 1 + 136 T + 1812270 T^{2} + 124123528 T^{3} + 832972004929 T^{4} \))(\( 1 + 1760 T + 2073118 T^{2} + 1606304480 T^{3} + 832972004929 T^{4} \))(\( 1 - 2092 T + 2771446 T^{2} - 1909311916 T^{3} + 832972004929 T^{4} \))(\( 1 - 808 T + 903054 T^{2} - 737439784 T^{3} + 832972004929 T^{4} \))(\( 1 - 804 T + 1886902 T^{2} - 733789092 T^{3} + 832972004929 T^{4} \))(\( 1 - 400 T + 214046 T^{2} - 365069200 T^{3} + 832972004929 T^{4} \))(\( 1 - 856 T + 1966030 T^{2} - 781248088 T^{3} + 832972004929 T^{4} \))(\( 1 - 1372 T + 2047574 T^{2} - 1252187356 T^{3} + 832972004929 T^{4} \))(\( 1 + 136 T + 1812270 T^{2} + 124123528 T^{3} + 832972004929 T^{4} \))(\( 1 + 1760 T + 2073118 T^{2} + 1606304480 T^{3} + 832972004929 T^{4} \))(\( 1 - 2092 T + 2771446 T^{2} - 1909311916 T^{3} + 832972004929 T^{4} \))(\( 1 - 808 T + 903054 T^{2} - 737439784 T^{3} + 832972004929 T^{4} \))(\( 1 - 804 T + 1886902 T^{2} - 733789092 T^{3} + 832972004929 T^{4} \))(\( 1 - 400 T + 214046 T^{2} - 365069200 T^{3} + 832972004929 T^{4} \))(\( 1 - 856 T + 1966030 T^{2} - 781248088 T^{3} + 832972004929 T^{4} \))(\( 1 - 1950 T + 3376767 T^{2} - 3609510148 T^{3} + 3081884068191 T^{4} - 1624295409611550 T^{5} + 760231058654565217 T^{6} \))(\( 1 + 130 T + 1230639 T^{2} - 162952740 T^{3} + 1123170988047 T^{4} + 108286360640770 T^{5} + 760231058654565217 T^{6} \))(\( 1 - 1950 T + 3376767 T^{2} - 3609510148 T^{3} + 3081884068191 T^{4} - 1624295409611550 T^{5} + 760231058654565217 T^{6} \))(\( 1 + 130 T + 1230639 T^{2} - 162952740 T^{3} + 1123170988047 T^{4} + 108286360640770 T^{5} + 760231058654565217 T^{6} \))(\( 1 + 251326 T^{2} + 832972004929 T^{4} \))(\( 1 - 1171946 T^{2} + 832972004929 T^{4} \))(\( 1 - 1171946 T^{2} + 832972004929 T^{4} \))(\( 1 + 251326 T^{2} + 832972004929 T^{4} \))(\( 1 - 3256088 T^{2} + 6152309237692 T^{4} - 8283569126499185960 T^{6} + \)\(84\!\cdots\!90\)\( T^{8} - \)\(68\!\cdots\!40\)\( T^{10} + \)\(42\!\cdots\!72\)\( T^{12} - \)\(18\!\cdots\!32\)\( T^{14} + \)\(48\!\cdots\!81\)\( T^{16} \))(\( 1 - 3256088 T^{2} + 6152309237692 T^{4} - 8283569126499185960 T^{6} + \)\(84\!\cdots\!90\)\( T^{8} - \)\(68\!\cdots\!40\)\( T^{10} + \)\(42\!\cdots\!72\)\( T^{12} - \)\(18\!\cdots\!32\)\( T^{14} + \)\(48\!\cdots\!81\)\( T^{16} \))(\( 1 - 5179748 T^{2} + 14000284408306 T^{4} - 26536073421090570836 T^{6} + \)\(39\!\cdots\!39\)\( T^{8} - \)\(47\!\cdots\!40\)\( T^{10} + \)\(47\!\cdots\!48\)\( T^{12} - \)\(39\!\cdots\!60\)\( T^{14} + \)\(27\!\cdots\!99\)\( T^{16} - \)\(15\!\cdots\!04\)\( T^{18} + \)\(67\!\cdots\!86\)\( T^{20} - \)\(20\!\cdots\!52\)\( T^{22} + \)\(33\!\cdots\!21\)\( T^{24} \))(\( 1 - 5179748 T^{2} + 14000284408306 T^{4} - 26536073421090570836 T^{6} + \)\(39\!\cdots\!39\)\( T^{8} - \)\(47\!\cdots\!40\)\( T^{10} + \)\(47\!\cdots\!48\)\( T^{12} - \)\(39\!\cdots\!60\)\( T^{14} + \)\(27\!\cdots\!99\)\( T^{16} - \)\(15\!\cdots\!04\)\( T^{18} + \)\(67\!\cdots\!86\)\( T^{20} - \)\(20\!\cdots\!52\)\( T^{22} + \)\(33\!\cdots\!21\)\( T^{24} \))(\( ( 1 - 774 T + 2031927 T^{2} - 1519826180 T^{3} + 1854484910871 T^{4} - 644720331815046 T^{5} + 760231058654565217 T^{6} )^{2} \))(\( ( 1 + 1170 T + 2333943 T^{2} + 1862082124 T^{3} + 2130126759639 T^{4} + 974577245766930 T^{5} + 760231058654565217 T^{6} )^{2} \))(\( ( 1 + 1170 T + 2333943 T^{2} + 1862082124 T^{3} + 2130126759639 T^{4} + 974577245766930 T^{5} + 760231058654565217 T^{6} )^{2} \))(\( ( 1 - 774 T + 2031927 T^{2} - 1519826180 T^{3} + 1854484910871 T^{4} - 644720331815046 T^{5} + 760231058654565217 T^{6} )^{2} \))(\( ( 1 + 1356 T + 4162146 T^{2} + 4963480604 T^{3} + 8550567915375 T^{4} + 8024102586574104 T^{5} + 10121097658531933404 T^{6} + \)\(73\!\cdots\!92\)\( T^{7} + \)\(71\!\cdots\!75\)\( T^{8} + \)\(37\!\cdots\!68\)\( T^{9} + \)\(28\!\cdots\!86\)\( T^{10} + \)\(85\!\cdots\!08\)\( T^{11} + \)\(57\!\cdots\!89\)\( T^{12} )^{2} \))(\( ( 1 + 972 T + 2848866 T^{2} + 3507589532 T^{3} + 4946672992623 T^{4} + 5243540932843800 T^{5} + 5690906720012082396 T^{6} + \)\(47\!\cdots\!00\)\( T^{7} + \)\(41\!\cdots\!67\)\( T^{8} + \)\(26\!\cdots\!44\)\( T^{9} + \)\(19\!\cdots\!06\)\( T^{10} + \)\(61\!\cdots\!96\)\( T^{11} + \)\(57\!\cdots\!89\)\( T^{12} )^{2} \))(\( ( 1 + 972 T + 2848866 T^{2} + 3507589532 T^{3} + 4946672992623 T^{4} + 5243540932843800 T^{5} + 5690906720012082396 T^{6} + \)\(47\!\cdots\!00\)\( T^{7} + \)\(41\!\cdots\!67\)\( T^{8} + \)\(26\!\cdots\!44\)\( T^{9} + \)\(19\!\cdots\!06\)\( T^{10} + \)\(61\!\cdots\!96\)\( T^{11} + \)\(57\!\cdots\!89\)\( T^{12} )^{2} \))(\( ( 1 + 1356 T + 4162146 T^{2} + 4963480604 T^{3} + 8550567915375 T^{4} + 8024102586574104 T^{5} + 10121097658531933404 T^{6} + \)\(73\!\cdots\!92\)\( T^{7} + \)\(71\!\cdots\!75\)\( T^{8} + \)\(37\!\cdots\!68\)\( T^{9} + \)\(28\!\cdots\!86\)\( T^{10} + \)\(85\!\cdots\!08\)\( T^{11} + \)\(57\!\cdots\!89\)\( T^{12} )^{2} \))(\( ( 1 - 2932904 T^{2} + 5648268424924 T^{4} - 7507926744681223064 T^{6} + \)\(79\!\cdots\!34\)\( T^{8} - \)\(62\!\cdots\!56\)\( T^{10} + \)\(39\!\cdots\!84\)\( T^{12} - \)\(16\!\cdots\!56\)\( T^{14} + \)\(48\!\cdots\!81\)\( T^{16} )^{2} \))(\( ( 1 - 2932904 T^{2} + 5648268424924 T^{4} - 7507926744681223064 T^{6} + \)\(79\!\cdots\!34\)\( T^{8} - \)\(62\!\cdots\!56\)\( T^{10} + \)\(39\!\cdots\!84\)\( T^{12} - \)\(16\!\cdots\!56\)\( T^{14} + \)\(48\!\cdots\!81\)\( T^{16} )^{2} \))
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