Properties

Label 3136.2
Level 3136
Weight 2
Dimension 161437
Nonzero newspaces 32
Sturm bound 1204224
Trace bound 25

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Defining parameters

Level: \( N \) = \( 3136 = 2^{6} \cdot 7^{2} \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 32 \)
Sturm bound: \(1204224\)
Trace bound: \(25\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(3136))\).

Total New Old
Modular forms 305376 163571 141805
Cusp forms 296737 161437 135300
Eisenstein series 8639 2134 6505

Trace form

\( 161437q - 248q^{2} - 186q^{3} - 248q^{4} - 248q^{5} - 248q^{6} - 216q^{7} - 440q^{8} - 313q^{9} + O(q^{10}) \) \( 161437q - 248q^{2} - 186q^{3} - 248q^{4} - 248q^{5} - 248q^{6} - 216q^{7} - 440q^{8} - 313q^{9} - 248q^{10} - 190q^{11} - 248q^{12} - 256q^{13} - 288q^{14} - 336q^{15} - 248q^{16} - 442q^{17} - 248q^{18} - 194q^{19} - 248q^{20} - 288q^{21} - 432q^{22} - 188q^{23} - 208q^{24} - 299q^{25} - 208q^{26} - 180q^{27} - 288q^{28} - 424q^{29} - 168q^{30} - 164q^{31} - 208q^{32} - 160q^{33} - 208q^{34} - 216q^{35} - 360q^{36} - 240q^{37} - 208q^{38} - 188q^{39} - 208q^{40} - 310q^{41} - 288q^{42} - 342q^{43} - 240q^{44} - 252q^{45} - 248q^{46} - 204q^{47} - 248q^{48} - 504q^{49} - 800q^{50} - 160q^{51} - 296q^{52} - 272q^{53} - 312q^{54} - 100q^{55} - 288q^{56} - 556q^{57} - 320q^{58} - 118q^{59} - 344q^{60} - 256q^{61} - 280q^{62} - 216q^{63} - 536q^{64} - 684q^{65} - 328q^{66} - 98q^{67} - 296q^{68} - 260q^{69} - 288q^{70} - 268q^{71} - 320q^{72} - 310q^{73} - 304q^{74} - 130q^{75} - 312q^{76} - 288q^{77} - 464q^{78} - 156q^{79} - 208q^{80} - 359q^{81} - 168q^{82} - 186q^{83} - 288q^{84} - 432q^{85} - 144q^{86} - 188q^{87} - 168q^{88} - 262q^{89} - 104q^{90} - 132q^{91} - 288q^{92} - 112q^{93} - 152q^{94} - 24q^{95} - 112q^{96} + 46q^{97} - 288q^{98} - 318q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(3136))\)

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
3136.2.a \(\chi_{3136}(1, \cdot)\) 3136.2.a.a 1 1
3136.2.a.b 1
3136.2.a.c 1
3136.2.a.d 1
3136.2.a.e 1
3136.2.a.f 1
3136.2.a.g 1
3136.2.a.h 1
3136.2.a.i 1
3136.2.a.j 1
3136.2.a.k 1
3136.2.a.l 1
3136.2.a.m 1
3136.2.a.n 1
3136.2.a.o 1
3136.2.a.p 1
3136.2.a.q 1
3136.2.a.r 1
3136.2.a.s 1
3136.2.a.t 1
3136.2.a.u 1
3136.2.a.v 1
3136.2.a.w 1
3136.2.a.x 1
3136.2.a.y 1
3136.2.a.z 1
3136.2.a.ba 1
3136.2.a.bb 1
3136.2.a.bc 1
3136.2.a.bd 2
3136.2.a.be 2
3136.2.a.bf 2
3136.2.a.bg 2
3136.2.a.bh 2
3136.2.a.bi 2
3136.2.a.bj 2
3136.2.a.bk 2
3136.2.a.bl 2
3136.2.a.bm 2
3136.2.a.bn 2
3136.2.a.bo 2
3136.2.a.bp 2
3136.2.a.bq 2
3136.2.a.br 2
3136.2.a.bs 2
3136.2.a.bt 2
3136.2.a.bu 2
3136.2.a.bv 2
3136.2.a.bw 2
3136.2.a.bx 2
3136.2.a.by 2
3136.2.a.bz 4
3136.2.b \(\chi_{3136}(1569, \cdot)\) 3136.2.b.a 2 1
3136.2.b.b 2
3136.2.b.c 2
3136.2.b.d 4
3136.2.b.e 4
3136.2.b.f 4
3136.2.b.g 4
3136.2.b.h 4
3136.2.b.i 4
3136.2.b.j 4
3136.2.b.k 8
3136.2.b.l 12
3136.2.b.m 12
3136.2.b.n 16
3136.2.e \(\chi_{3136}(1567, \cdot)\) 3136.2.e.a 8 1
3136.2.e.b 8
3136.2.e.c 8
3136.2.e.d 12
3136.2.e.e 12
3136.2.e.f 32
3136.2.f \(\chi_{3136}(3135, \cdot)\) 3136.2.f.a 2 1
3136.2.f.b 2
3136.2.f.c 4
3136.2.f.d 4
3136.2.f.e 4
3136.2.f.f 4
3136.2.f.g 8
3136.2.f.h 8
3136.2.f.i 8
3136.2.f.j 16
3136.2.f.k 16
3136.2.i \(\chi_{3136}(961, \cdot)\) n/a 152 2
3136.2.j \(\chi_{3136}(783, \cdot)\) n/a 152 2
3136.2.m \(\chi_{3136}(785, \cdot)\) n/a 154 2
3136.2.p \(\chi_{3136}(1599, \cdot)\) n/a 152 2
3136.2.q \(\chi_{3136}(31, \cdot)\) n/a 160 2
3136.2.t \(\chi_{3136}(2529, \cdot)\) n/a 160 2
3136.2.u \(\chi_{3136}(449, \cdot)\) n/a 660 6
3136.2.v \(\chi_{3136}(393, \cdot)\) None 0 4
3136.2.y \(\chi_{3136}(391, \cdot)\) None 0 4
3136.2.ba \(\chi_{3136}(815, \cdot)\) n/a 304 4
3136.2.bb \(\chi_{3136}(177, \cdot)\) n/a 304 4
3136.2.bf \(\chi_{3136}(447, \cdot)\) n/a 660 6
3136.2.bg \(\chi_{3136}(223, \cdot)\) n/a 672 6
3136.2.bj \(\chi_{3136}(225, \cdot)\) n/a 672 6
3136.2.bk \(\chi_{3136}(197, \cdot)\) n/a 2584 8
3136.2.bl \(\chi_{3136}(195, \cdot)\) n/a 2528 8
3136.2.bo \(\chi_{3136}(65, \cdot)\) n/a 1320 12
3136.2.bq \(\chi_{3136}(361, \cdot)\) None 0 8
3136.2.br \(\chi_{3136}(215, \cdot)\) None 0 8
3136.2.bt \(\chi_{3136}(113, \cdot)\) n/a 1320 12
3136.2.bw \(\chi_{3136}(111, \cdot)\) n/a 1320 12
3136.2.bx \(\chi_{3136}(289, \cdot)\) n/a 1344 12
3136.2.ca \(\chi_{3136}(159, \cdot)\) n/a 1344 12
3136.2.cb \(\chi_{3136}(255, \cdot)\) n/a 1320 12
3136.2.cg \(\chi_{3136}(19, \cdot)\) n/a 5056 16
3136.2.ch \(\chi_{3136}(165, \cdot)\) n/a 5056 16
3136.2.ci \(\chi_{3136}(55, \cdot)\) None 0 24
3136.2.cl \(\chi_{3136}(57, \cdot)\) None 0 24
3136.2.cn \(\chi_{3136}(81, \cdot)\) n/a 2640 24
3136.2.co \(\chi_{3136}(47, \cdot)\) n/a 2640 24
3136.2.cq \(\chi_{3136}(27, \cdot)\) n/a 21408 48
3136.2.cr \(\chi_{3136}(29, \cdot)\) n/a 21408 48
3136.2.cv \(\chi_{3136}(87, \cdot)\) None 0 48
3136.2.cw \(\chi_{3136}(9, \cdot)\) None 0 48
3136.2.da \(\chi_{3136}(37, \cdot)\) n/a 42816 96
3136.2.db \(\chi_{3136}(3, \cdot)\) n/a 42816 96

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

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(3136))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(3136)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(14))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(16))\)\(^{\oplus 9}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(28))\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(32))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(49))\)\(^{\oplus 7}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(56))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(64))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(98))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(112))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(196))\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(224))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(392))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(448))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(784))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1568))\)\(^{\oplus 2}\)

Hecke Characteristic Polynomials

$p$ $F_p(T)$
$2$ 1
$3$ (\( 1 + 3 T + 3 T^{2} \))(\( 1 + 3 T + 3 T^{2} \))(\( 1 + 2 T + 3 T^{2} \))(\( 1 + 2 T + 3 T^{2} \))(\( 1 + 2 T + 3 T^{2} \))(\( 1 + 2 T + 3 T^{2} \))(\( 1 + 2 T + 3 T^{2} \))(\( 1 + T + 3 T^{2} \))(\( 1 + T + 3 T^{2} \))(\( 1 + T + 3 T^{2} \))(\( 1 + T + 3 T^{2} \))(\( 1 + 3 T^{2} \))(\( 1 + 3 T^{2} \))(\( 1 + 3 T^{2} \))(\( 1 + 3 T^{2} \))(\( 1 + 3 T^{2} \))(\( 1 + 3 T^{2} \))(\( 1 + 3 T^{2} \))(\( 1 - T + 3 T^{2} \))(\( 1 - T + 3 T^{2} \))(\( 1 - T + 3 T^{2} \))(\( 1 - T + 3 T^{2} \))(\( 1 - 2 T + 3 T^{2} \))(\( 1 - 2 T + 3 T^{2} \))(\( 1 - 2 T + 3 T^{2} \))(\( 1 - 2 T + 3 T^{2} \))(\( 1 - 2 T + 3 T^{2} \))(\( 1 - 3 T + 3 T^{2} \))(\( 1 - 3 T + 3 T^{2} \))(\( 1 + 2 T + 5 T^{2} + 6 T^{3} + 9 T^{4} \))(\( 1 + 2 T + 5 T^{2} + 6 T^{3} + 9 T^{4} \))(\( 1 + 2 T + 2 T^{2} + 6 T^{3} + 9 T^{4} \))(\( 1 - T^{2} + 9 T^{4} \))(\( 1 + 3 T^{2} + 9 T^{4} \))(\( ( 1 + 3 T^{2} )^{2} \))(\( ( 1 + 3 T^{2} )^{2} \))(\( 1 + 4 T^{2} + 9 T^{4} \))(\( 1 + 4 T^{2} + 9 T^{4} \))(\( 1 + 4 T^{2} + 9 T^{4} \))(\( 1 + 4 T^{2} + 9 T^{4} \))(\( 1 + 4 T^{2} + 9 T^{4} \))(\( 1 + 4 T^{2} + 9 T^{4} \))(\( 1 - 2 T^{2} + 9 T^{4} \))(\( 1 - 2 T^{2} + 9 T^{4} \))(\( 1 - 2 T^{2} + 9 T^{4} \))(\( 1 - 2 T^{2} + 9 T^{4} \))(\( 1 + 3 T^{2} + 9 T^{4} \))(\( 1 - T^{2} + 9 T^{4} \))(\( 1 - 2 T + 5 T^{2} - 6 T^{3} + 9 T^{4} \))(\( 1 - 2 T + 5 T^{2} - 6 T^{3} + 9 T^{4} \))(\( 1 - 2 T + 2 T^{2} - 6 T^{3} + 9 T^{4} \))(\( ( 1 - 4 T^{2} + 9 T^{4} )^{2} \))(\( 1 - 2 T^{2} + 9 T^{4} \))(\( 1 - 2 T^{2} + 9 T^{4} \))(\( 1 - 2 T^{2} + 9 T^{4} \))(\( ( 1 - 2 T + 3 T^{2} )^{2}( 1 + 2 T + 3 T^{2} )^{2} \))(\( ( 1 - 4 T + 8 T^{2} - 12 T^{3} + 9 T^{4} )( 1 + 4 T + 8 T^{2} + 12 T^{3} + 9 T^{4} ) \))(\( ( 1 - 4 T + 8 T^{2} - 12 T^{3} + 9 T^{4} )( 1 + 4 T + 8 T^{2} + 12 T^{3} + 9 T^{4} ) \))(\( 1 - 4 T^{2} + 10 T^{4} - 36 T^{6} + 81 T^{8} \))(\( 1 - 4 T^{2} + 10 T^{4} - 36 T^{6} + 81 T^{8} \))(\( ( 1 - 5 T^{2} + 9 T^{4} )^{2} \))(\( ( 1 - 5 T^{2} + 9 T^{4} )^{2} \))(\( ( 1 - 4 T^{2} + 9 T^{4} )^{4} \))(\( ( 1 - 3 T^{2} + 6 T^{4} - 35 T^{6} + 54 T^{8} - 243 T^{10} + 729 T^{12} )^{2} \))(\( ( 1 - 3 T^{2} + 6 T^{4} - 35 T^{6} + 54 T^{8} - 243 T^{10} + 729 T^{12} )^{2} \))(\( ( 1 - 6 T^{2} + 22 T^{4} - 54 T^{6} + 81 T^{8} )^{4} \))(\( ( 1 - T^{2} + 9 T^{4} )^{4} \))(\( ( 1 - 8 T^{2} + 32 T^{4} - 72 T^{6} + 81 T^{8} )^{2} \))(\( ( 1 - 8 T^{2} + 32 T^{4} - 72 T^{6} + 81 T^{8} )^{2} \))(\( ( 1 - 7 T^{2} + 26 T^{4} - 83 T^{6} + 234 T^{8} - 567 T^{10} + 729 T^{12} )^{2} \))(\( ( 1 - 7 T^{2} + 26 T^{4} - 83 T^{6} + 234 T^{8} - 567 T^{10} + 729 T^{12} )^{2} \))(\( ( 1 + T + 3 T^{2} )^{2} \))(\( ( 1 - T + 3 T^{2} )^{2} \))(\( ( 1 + 3 T^{2} )^{4} \))(\( ( 1 + 3 T^{2} )^{4} \))(\( ( 1 + 3 T^{2} + 9 T^{4} )^{2} \))(\( ( 1 - T^{2} + 9 T^{4} )^{2} \))(\( ( 1 + 8 T^{2} + 32 T^{4} + 72 T^{6} + 81 T^{8} )^{2} \))(\( ( 1 + 81 T^{8} )^{2} \))(\( ( 1 + 16 T^{4} + 81 T^{8} )^{2} \))(\( ( 1 + 8 T^{2} + 26 T^{4} + 64 T^{6} + 187 T^{8} + 576 T^{10} + 2106 T^{12} + 5832 T^{14} + 6561 T^{16} )^{2} \))(\( ( 1 + 4 T^{2} + 22 T^{4} + 52 T^{6} + 226 T^{8} + 468 T^{10} + 1782 T^{12} + 2916 T^{14} + 6561 T^{16} )^{2} \))
$5$ (\( 1 + T + 5 T^{2} \))(\( 1 - T + 5 T^{2} \))(\( 1 + 4 T + 5 T^{2} \))(\( 1 + 2 T + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 - 2 T + 5 T^{2} \))(\( 1 + 3 T + 5 T^{2} \))(\( 1 + T + 5 T^{2} \))(\( 1 - T + 5 T^{2} \))(\( 1 - 3 T + 5 T^{2} \))(\( 1 + 4 T + 5 T^{2} \))(\( 1 + 2 T + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 - 2 T + 5 T^{2} \))(\( 1 - 2 T + 5 T^{2} \))(\( 1 - 4 T + 5 T^{2} \))(\( 1 + 3 T + 5 T^{2} \))(\( 1 + T + 5 T^{2} \))(\( 1 - T + 5 T^{2} \))(\( 1 - 3 T + 5 T^{2} \))(\( 1 + 4 T + 5 T^{2} \))(\( 1 + 2 T + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 - 2 T + 5 T^{2} \))(\( 1 + T + 5 T^{2} \))(\( 1 - T + 5 T^{2} \))(\( 1 + 2 T + 3 T^{2} + 10 T^{3} + 25 T^{4} \))(\( 1 - 2 T + 3 T^{2} - 10 T^{3} + 25 T^{4} \))(\( 1 - 2 T + 6 T^{2} - 10 T^{3} + 25 T^{4} \))(\( ( 1 + 3 T + 5 T^{2} )^{2} \))(\( ( 1 + T + 5 T^{2} )^{2} \))(\( 1 + 8 T^{2} + 25 T^{4} \))(\( 1 - 8 T^{2} + 25 T^{4} \))(\( 1 + 2 T^{2} + 25 T^{4} \))(\( ( 1 + 5 T^{2} )^{2} \))(\( 1 + 2 T^{2} + 25 T^{4} \))(\( 1 + 2 T^{2} + 25 T^{4} \))(\( ( 1 + 5 T^{2} )^{2} \))(\( 1 + 2 T^{2} + 25 T^{4} \))(\( 1 + 2 T^{2} + 25 T^{4} \))(\( 1 + 8 T^{2} + 25 T^{4} \))(\( 1 + 8 T^{2} + 25 T^{4} \))(\( 1 + 2 T^{2} + 25 T^{4} \))(\( ( 1 - T + 5 T^{2} )^{2} \))(\( ( 1 - 3 T + 5 T^{2} )^{2} \))(\( 1 + 2 T + 3 T^{2} + 10 T^{3} + 25 T^{4} \))(\( 1 - 2 T + 3 T^{2} - 10 T^{3} + 25 T^{4} \))(\( 1 - 2 T + 6 T^{2} - 10 T^{3} + 25 T^{4} \))(\( ( 1 + 2 T^{2} + 25 T^{4} )^{2} \))(\( ( 1 - 2 T + 5 T^{2} )( 1 + 2 T + 5 T^{2} ) \))(\( ( 1 - 5 T^{2} )^{2} \))(\( ( 1 - 2 T + 5 T^{2} )( 1 + 2 T + 5 T^{2} ) \))(\( ( 1 - 5 T^{2} )^{4} \))(\( ( 1 - 5 T^{2} )^{4} \))(\( ( 1 - 5 T^{2} )^{4} \))(\( 1 - 12 T^{2} + 74 T^{4} - 300 T^{6} + 625 T^{8} \))(\( 1 - 12 T^{2} + 74 T^{4} - 300 T^{6} + 625 T^{8} \))(\( ( 1 - 3 T^{2} + 25 T^{4} )^{2} \))(\( ( 1 - 3 T^{2} + 25 T^{4} )^{2} \))(\( ( 1 - 4 T^{2} + 25 T^{4} )^{4} \))(\( ( 1 - 13 T^{2} + 102 T^{4} - 593 T^{6} + 2550 T^{8} - 8125 T^{10} + 15625 T^{12} )^{2} \))(\( ( 1 - 13 T^{2} + 102 T^{4} - 593 T^{6} + 2550 T^{8} - 8125 T^{10} + 15625 T^{12} )^{2} \))(\( ( 1 - 2 T^{2} + 6 T^{4} - 50 T^{6} + 625 T^{8} )^{4} \))(\( ( 1 + 5 T^{2} + 25 T^{4} )^{4} \))(\( ( 1 + 12 T^{2} + 78 T^{4} + 300 T^{6} + 625 T^{8} )^{2} \))(\( ( 1 + 12 T^{2} + 78 T^{4} + 300 T^{6} + 625 T^{8} )^{2} \))(\( ( 1 + 3 T + 10 T^{2} + 27 T^{3} + 50 T^{4} + 75 T^{5} + 125 T^{6} )^{4} \))(\( ( 1 - 3 T + 10 T^{2} - 27 T^{3} + 50 T^{4} - 75 T^{5} + 125 T^{6} )^{4} \))(\( 1 - 7 T^{2} + 25 T^{4} \))(\( 1 - 7 T^{2} + 25 T^{4} \))(\( 1 + 48 T^{4} + 625 T^{8} \))(\( 1 - 48 T^{4} + 625 T^{8} \))(\( ( 1 - 7 T^{2} + 25 T^{4} )^{2} \))(\( ( 1 - 7 T^{2} + 25 T^{4} )^{2} \))(\( ( 1 - 12 T^{2} + 78 T^{4} - 300 T^{6} + 625 T^{8} )^{2} \))(\( ( 1 - 12 T^{2} + 78 T^{4} - 300 T^{6} + 625 T^{8} )^{2} \))(\( ( 1 - 12 T^{2} + 78 T^{4} - 300 T^{6} + 625 T^{8} )^{2} \))(\( ( 1 - 6 T^{2} + 27 T^{4} - 150 T^{6} + 625 T^{8} )^{4} \))(\( ( 1 - 12 T^{2} + 62 T^{4} - 428 T^{6} + 2946 T^{8} - 10700 T^{10} + 38750 T^{12} - 187500 T^{14} + 390625 T^{16} )^{2} \))
$7$ 1
$11$ (\( 1 + T + 11 T^{2} \))(\( 1 - T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 - 4 T + 11 T^{2} \))(\( 1 - 4 T + 11 T^{2} \))(\( 1 - 3 T + 11 T^{2} \))(\( 1 + 3 T + 11 T^{2} \))(\( 1 - 3 T + 11 T^{2} \))(\( 1 + 3 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 - 4 T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 - 4 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 3 T + 11 T^{2} \))(\( 1 - 3 T + 11 T^{2} \))(\( 1 + 3 T + 11 T^{2} \))(\( 1 - 3 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 - 4 T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 - T + 11 T^{2} \))(\( 1 + T + 11 T^{2} \))(\( 1 - 2 T + 21 T^{2} - 22 T^{3} + 121 T^{4} \))(\( 1 + 2 T + 21 T^{2} + 22 T^{3} + 121 T^{4} \))(\( 1 - 4 T + 6 T^{2} - 44 T^{3} + 121 T^{4} \))(\( 1 + 15 T^{2} + 121 T^{4} \))(\( 1 - 5 T^{2} + 121 T^{4} \))(\( ( 1 + 11 T^{2} )^{2} \))(\( ( 1 + 11 T^{2} )^{2} \))(\( ( 1 + 6 T + 11 T^{2} )^{2} \))(\( ( 1 + 2 T + 11 T^{2} )^{2} \))(\( ( 1 + 2 T + 11 T^{2} )^{2} \))(\( ( 1 - 2 T + 11 T^{2} )^{2} \))(\( ( 1 - 2 T + 11 T^{2} )^{2} \))(\( ( 1 - 6 T + 11 T^{2} )^{2} \))(\( ( 1 + 4 T + 11 T^{2} )^{2} \))(\( ( 1 + 4 T + 11 T^{2} )^{2} \))(\( ( 1 - 4 T + 11 T^{2} )^{2} \))(\( ( 1 - 4 T + 11 T^{2} )^{2} \))(\( 1 - 5 T^{2} + 121 T^{4} \))(\( 1 + 15 T^{2} + 121 T^{4} \))(\( 1 + 2 T + 21 T^{2} + 22 T^{3} + 121 T^{4} \))(\( 1 - 2 T + 21 T^{2} - 22 T^{3} + 121 T^{4} \))(\( 1 + 4 T + 6 T^{2} + 44 T^{3} + 121 T^{4} \))(\( ( 1 + 2 T^{2} + 121 T^{4} )^{2} \))(\( 1 - 18 T^{2} + 121 T^{4} \))(\( 1 + 14 T^{2} + 121 T^{4} \))(\( 1 - 18 T^{2} + 121 T^{4} \))(\( ( 1 + 14 T^{2} + 121 T^{4} )^{2} \))(\( ( 1 - 6 T + 11 T^{2} )^{2}( 1 + 6 T + 11 T^{2} )^{2} \))(\( ( 1 - 6 T + 11 T^{2} )^{2}( 1 + 6 T + 11 T^{2} )^{2} \))(\( 1 - 12 T^{2} + 86 T^{4} - 1452 T^{6} + 14641 T^{8} \))(\( 1 - 12 T^{2} + 86 T^{4} - 1452 T^{6} + 14641 T^{8} \))(\( ( 1 - 21 T^{2} + 121 T^{4} )^{2} \))(\( ( 1 - 21 T^{2} + 121 T^{4} )^{2} \))(\( ( 1 - 11 T^{2} )^{8} \))(\( ( 1 - 31 T^{2} + 522 T^{4} - 6203 T^{6} + 63162 T^{8} - 453871 T^{10} + 1771561 T^{12} )^{2} \))(\( ( 1 - 31 T^{2} + 522 T^{4} - 6203 T^{6} + 63162 T^{8} - 453871 T^{10} + 1771561 T^{12} )^{2} \))(\( ( 1 - 16 T^{2} + 126 T^{4} - 1936 T^{6} + 14641 T^{8} )^{4} \))(\( ( 1 + 7 T^{2} + 121 T^{4} )^{4} \))(\( ( 1 + 8 T + 36 T^{2} + 88 T^{3} + 121 T^{4} )^{4} \))(\( ( 1 - 8 T + 36 T^{2} - 88 T^{3} + 121 T^{4} )^{4} \))(\( ( 1 + 21 T^{2} + 438 T^{4} + 5029 T^{6} + 52998 T^{8} + 307461 T^{10} + 1771561 T^{12} )^{2} \))(\( ( 1 + 21 T^{2} + 438 T^{4} + 5029 T^{6} + 52998 T^{8} + 307461 T^{10} + 1771561 T^{12} )^{2} \))(\( 1 - 19 T^{2} + 121 T^{4} \))(\( 1 - 19 T^{2} + 121 T^{4} \))(\( ( 1 - 11 T^{2} )^{4} \))(\( ( 1 - 11 T^{2} )^{4} \))(\( ( 1 - 21 T^{2} + 121 T^{4} )^{2} \))(\( ( 1 - T^{2} + 121 T^{4} )^{2} \))(\( ( 1 - 4 T^{2} + 121 T^{4} )^{4} \))(\( ( 1 - 8 T^{2} - 30 T^{4} - 968 T^{6} + 14641 T^{8} )^{2} \))(\( ( 1 - 24 T^{2} + 354 T^{4} - 2904 T^{6} + 14641 T^{8} )^{2} \))(\( ( 1 - 24 T^{2} + 490 T^{4} - 6912 T^{6} + 86859 T^{8} - 836352 T^{10} + 7174090 T^{12} - 42517464 T^{14} + 214358881 T^{16} )^{2} \))(\( ( 1 - 52 T^{2} + 1400 T^{4} - 24860 T^{6} + 318286 T^{8} - 3008060 T^{10} + 20497400 T^{12} - 92121172 T^{14} + 214358881 T^{16} )^{2} \))
$13$ (\( 1 - 2 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 + 6 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 - 6 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 + 6 T + 13 T^{2} \))(\( 1 - 6 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 - 6 T + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 + 6 T + 13 T^{2} \))(\( 1 - 6 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 + 6 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 - 6 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 + 18 T^{2} + 169 T^{4} \))(\( 1 + 18 T^{2} + 169 T^{4} \))(\( 1 - 6 T + 30 T^{2} - 78 T^{3} + 169 T^{4} \))(\( ( 1 + 4 T + 13 T^{2} )^{2} \))(\( ( 1 + 13 T^{2} )^{2} \))(\( 1 + 24 T^{2} + 169 T^{4} \))(\( 1 - 24 T^{2} + 169 T^{4} \))(\( 1 - 6 T^{2} + 169 T^{4} \))(\( 1 + 18 T^{2} + 169 T^{4} \))(\( ( 1 + 13 T^{2} )^{2} \))(\( ( 1 + 13 T^{2} )^{2} \))(\( 1 + 18 T^{2} + 169 T^{4} \))(\( 1 - 6 T^{2} + 169 T^{4} \))(\( 1 + 18 T^{2} + 169 T^{4} \))(\( 1 + 8 T^{2} + 169 T^{4} \))(\( 1 + 8 T^{2} + 169 T^{4} \))(\( 1 + 18 T^{2} + 169 T^{4} \))(\( ( 1 + 13 T^{2} )^{2} \))(\( ( 1 - 4 T + 13 T^{2} )^{2} \))(\( 1 + 18 T^{2} + 169 T^{4} \))(\( 1 + 18 T^{2} + 169 T^{4} \))(\( 1 - 6 T + 30 T^{2} - 78 T^{3} + 169 T^{4} \))(\( ( 1 + 13 T^{2} )^{4} \))(\( ( 1 - 6 T + 13 T^{2} )( 1 + 6 T + 13 T^{2} ) \))(\( ( 1 - 13 T^{2} )^{2} \))(\( ( 1 - 6 T + 13 T^{2} )( 1 + 6 T + 13 T^{2} ) \))(\( ( 1 - 13 T^{2} )^{4} \))(\( ( 1 - 13 T^{2} )^{4} \))(\( ( 1 - 13 T^{2} )^{4} \))(\( 1 + 4 T^{2} + 42 T^{4} + 676 T^{6} + 28561 T^{8} \))(\( 1 + 4 T^{2} + 42 T^{4} + 676 T^{6} + 28561 T^{8} \))(\( ( 1 + 2 T^{2} + 169 T^{4} )^{2} \))(\( ( 1 + 2 T^{2} + 169 T^{4} )^{2} \))(\( ( 1 - 20 T^{2} + 169 T^{4} )^{4} \))(\( ( 1 - 58 T^{2} + 1559 T^{4} - 25276 T^{6} + 263471 T^{8} - 1656538 T^{10} + 4826809 T^{12} )^{2} \))(\( ( 1 - 58 T^{2} + 1559 T^{4} - 25276 T^{6} + 263471 T^{8} - 1656538 T^{10} + 4826809 T^{12} )^{2} \))(\( ( 1 - 10 T^{2} - 42 T^{4} - 1690 T^{6} + 28561 T^{8} )^{4} \))(\( ( 1 + 13 T^{2} )^{8} \))(\( ( 1 + 12 T^{2} + 366 T^{4} + 2028 T^{6} + 28561 T^{8} )^{2} \))(\( ( 1 + 12 T^{2} + 366 T^{4} + 2028 T^{6} + 28561 T^{8} )^{2} \))(\( ( 1 + 4 T + 27 T^{2} + 68 T^{3} + 351 T^{4} + 676 T^{5} + 2197 T^{6} )^{4} \))(\( ( 1 - 4 T + 27 T^{2} - 68 T^{3} + 351 T^{4} - 676 T^{5} + 2197 T^{6} )^{4} \))(\( ( 1 - 13 T^{2} )^{2} \))(\( ( 1 - 13 T^{2} )^{2} \))(\( 1 - 240 T^{4} + 28561 T^{8} \))(\( 1 + 240 T^{4} + 28561 T^{8} \))(\( ( 1 - 14 T^{2} + 169 T^{4} )^{2} \))(\( ( 1 - 14 T^{2} + 169 T^{4} )^{2} \))(\( ( 1 - 44 T^{2} + 814 T^{4} - 7436 T^{6} + 28561 T^{8} )^{2} \))(\( ( 1 - 12 T^{2} + 366 T^{4} - 2028 T^{6} + 28561 T^{8} )^{2} \))(\( ( 1 - 44 T^{2} + 814 T^{4} - 7436 T^{6} + 28561 T^{8} )^{2} \))(\( ( 1 - 48 T^{2} + 1308 T^{4} - 24144 T^{6} + 351974 T^{8} - 4080336 T^{10} + 37357788 T^{12} - 231686832 T^{14} + 815730721 T^{16} )^{2} \))(\( ( 1 - 44 T^{2} + 830 T^{4} - 8588 T^{6} + 79746 T^{8} - 1451372 T^{10} + 23705630 T^{12} - 212379596 T^{14} + 815730721 T^{16} )^{2} \))
$17$ (\( 1 + 3 T + 17 T^{2} \))(\( 1 - 3 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 + 4 T + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 - 4 T + 17 T^{2} \))(\( 1 - 3 T + 17 T^{2} \))(\( 1 - 5 T + 17 T^{2} \))(\( 1 + 5 T + 17 T^{2} \))(\( 1 + 3 T + 17 T^{2} \))(\( 1 - 8 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 + 8 T + 17 T^{2} \))(\( 1 - 3 T + 17 T^{2} \))(\( 1 - 5 T + 17 T^{2} \))(\( 1 + 5 T + 17 T^{2} \))(\( 1 + 3 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 + 4 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 - 4 T + 17 T^{2} \))(\( 1 + 3 T + 17 T^{2} \))(\( 1 - 3 T + 17 T^{2} \))(\( 1 + 6 T + 35 T^{2} + 102 T^{3} + 289 T^{4} \))(\( 1 - 6 T + 35 T^{2} - 102 T^{3} + 289 T^{4} \))(\( 1 + 14 T^{2} + 289 T^{4} \))(\( ( 1 + T + 17 T^{2} )^{2} \))(\( ( 1 - 5 T + 17 T^{2} )^{2} \))(\( 1 - 16 T^{2} + 289 T^{4} \))(\( 1 + 16 T^{2} + 289 T^{4} \))(\( 1 + 32 T^{2} + 289 T^{4} \))(\( 1 + 16 T^{2} + 289 T^{4} \))(\( 1 + 32 T^{2} + 289 T^{4} \))(\( 1 + 32 T^{2} + 289 T^{4} \))(\( 1 + 16 T^{2} + 289 T^{4} \))(\( 1 + 32 T^{2} + 289 T^{4} \))(\( 1 + 2 T^{2} + 289 T^{4} \))(\( 1 + 32 T^{2} + 289 T^{4} \))(\( 1 + 32 T^{2} + 289 T^{4} \))(\( 1 + 2 T^{2} + 289 T^{4} \))(\( ( 1 + 5 T + 17 T^{2} )^{2} \))(\( ( 1 - T + 17 T^{2} )^{2} \))(\( 1 + 6 T + 35 T^{2} + 102 T^{3} + 289 T^{4} \))(\( 1 - 6 T + 35 T^{2} - 102 T^{3} + 289 T^{4} \))(\( 1 + 14 T^{2} + 289 T^{4} \))(\( ( 1 + 16 T^{2} + 289 T^{4} )^{2} \))(\( ( 1 + 2 T + 17 T^{2} )^{2} \))(\( ( 1 - 6 T + 17 T^{2} )^{2} \))(\( ( 1 + 2 T + 17 T^{2} )^{2} \))(\( ( 1 + 2 T^{2} + 289 T^{4} )^{2} \))(\( ( 1 + 8 T + 32 T^{2} + 136 T^{3} + 289 T^{4} )^{2} \))(\( ( 1 - 8 T + 32 T^{2} - 136 T^{3} + 289 T^{4} )^{2} \))(\( ( 1 + 2 T + 17 T^{2} )^{4} \))(\( ( 1 + 2 T + 17 T^{2} )^{4} \))(\( ( 1 + 5 T + 17 T^{2} )^{4} \))(\( ( 1 - 5 T + 17 T^{2} )^{4} \))(\( ( 1 + 2 T^{2} + 289 T^{4} )^{4} \))(\( ( 1 + 5 T + 34 T^{2} + 113 T^{3} + 578 T^{4} + 1445 T^{5} + 4913 T^{6} )^{4} \))(\( ( 1 - 5 T + 34 T^{2} - 113 T^{3} + 578 T^{4} - 1445 T^{5} + 4913 T^{6} )^{4} \))(\( ( 1 + 24 T^{2} + 289 T^{4} )^{8} \))(\( ( 1 - 7 T^{2} + 289 T^{4} )^{4} \))(\( ( 1 - 48 T^{2} + 1152 T^{4} - 13872 T^{6} + 83521 T^{8} )^{2} \))(\( ( 1 - 48 T^{2} + 1152 T^{4} - 13872 T^{6} + 83521 T^{8} )^{2} \))(\( ( 1 - 45 T^{2} + 846 T^{4} - 12337 T^{6} + 244494 T^{8} - 3758445 T^{10} + 24137569 T^{12} )^{2} \))(\( ( 1 - 45 T^{2} + 846 T^{4} - 12337 T^{6} + 244494 T^{8} - 3758445 T^{10} + 24137569 T^{12} )^{2} \))(\( 1 - 7 T^{2} + 289 T^{4} \))(\( 1 - 7 T^{2} + 289 T^{4} \))(\( 1 - 480 T^{4} + 83521 T^{8} \))(\( 1 + 480 T^{4} + 83521 T^{8} \))(\( ( 1 - 31 T^{2} + 289 T^{4} )^{2} \))(\( ( 1 - 7 T^{2} + 289 T^{4} )^{2} \))(\( ( 1 - 480 T^{4} + 83521 T^{8} )^{2} \))(\( ( 1 - 48 T^{2} + 1152 T^{4} - 13872 T^{6} + 83521 T^{8} )^{2} \))(\( ( 1 - 48 T^{2} + 1056 T^{4} - 13872 T^{6} + 83521 T^{8} )^{2} \))(\( ( 1 - 92 T^{2} + 4074 T^{4} - 115888 T^{6} + 2322419 T^{8} - 33491632 T^{10} + 340264554 T^{12} - 2220656348 T^{14} + 6975757441 T^{16} )^{2} \))(\( ( 1 - 96 T^{2} + 4544 T^{4} - 135264 T^{6} + 2752642 T^{8} - 39091296 T^{10} + 379519424 T^{12} - 2317206624 T^{14} + 6975757441 T^{16} )^{2} \))
$19$ (\( 1 + 5 T + 19 T^{2} \))(\( 1 + 5 T + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 + 6 T + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 + 6 T + 19 T^{2} \))(\( 1 + 6 T + 19 T^{2} \))(\( 1 - T + 19 T^{2} \))(\( 1 - T + 19 T^{2} \))(\( 1 - T + 19 T^{2} \))(\( 1 - T + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 + 8 T + 19 T^{2} \))(\( 1 - 8 T + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 + T + 19 T^{2} \))(\( 1 + T + 19 T^{2} \))(\( 1 + T + 19 T^{2} \))(\( 1 + T + 19 T^{2} \))(\( 1 + 2 T + 19 T^{2} \))(\( 1 - 6 T + 19 T^{2} \))(\( 1 - 6 T + 19 T^{2} \))(\( 1 + 2 T + 19 T^{2} \))(\( 1 - 6 T + 19 T^{2} \))(\( 1 - 5 T + 19 T^{2} \))(\( 1 - 5 T + 19 T^{2} \))(\( 1 + 10 T + 61 T^{2} + 190 T^{3} + 361 T^{4} \))(\( 1 + 10 T + 61 T^{2} + 190 T^{3} + 361 T^{4} \))(\( 1 - 2 T + 34 T^{2} - 38 T^{3} + 361 T^{4} \))(\( 1 - 25 T^{2} + 361 T^{4} \))(\( 1 + 35 T^{2} + 361 T^{4} \))(\( ( 1 + 19 T^{2} )^{2} \))(\( ( 1 + 19 T^{2} )^{2} \))(\( 1 + 20 T^{2} + 361 T^{4} \))(\( 1 + 20 T^{2} + 361 T^{4} \))(\( 1 - 12 T^{2} + 361 T^{4} \))(\( 1 - 12 T^{2} + 361 T^{4} \))(\( 1 + 20 T^{2} + 361 T^{4} \))(\( 1 + 20 T^{2} + 361 T^{4} \))(\( 1 + 30 T^{2} + 361 T^{4} \))(\( 1 + 30 T^{2} + 361 T^{4} \))(\( 1 + 30 T^{2} + 361 T^{4} \))(\( 1 + 30 T^{2} + 361 T^{4} \))(\( 1 + 35 T^{2} + 361 T^{4} \))(\( 1 - 25 T^{2} + 361 T^{4} \))(\( 1 - 10 T + 61 T^{2} - 190 T^{3} + 361 T^{4} \))(\( 1 - 10 T + 61 T^{2} - 190 T^{3} + 361 T^{4} \))(\( 1 + 2 T + 34 T^{2} + 38 T^{3} + 361 T^{4} \))(\( ( 1 + 28 T^{2} + 361 T^{4} )^{2} \))(\( 1 - 2 T^{2} + 361 T^{4} \))(\( 1 - 34 T^{2} + 361 T^{4} \))(\( 1 - 2 T^{2} + 361 T^{4} \))(\( ( 1 - 2 T + 19 T^{2} )^{2}( 1 + 2 T + 19 T^{2} )^{2} \))(\( ( 1 - 12 T + 72 T^{2} - 228 T^{3} + 361 T^{4} )( 1 + 12 T + 72 T^{2} + 228 T^{3} + 361 T^{4} ) \))(\( ( 1 - 12 T + 72 T^{2} - 228 T^{3} + 361 T^{4} )( 1 + 12 T + 72 T^{2} + 228 T^{3} + 361 T^{4} ) \))(\( 1 - 52 T^{2} + 1290 T^{4} - 18772 T^{6} + 130321 T^{8} \))(\( 1 - 52 T^{2} + 1290 T^{4} - 18772 T^{6} + 130321 T^{8} \))(\( ( 1 - 29 T^{2} + 361 T^{4} )^{2} \))(\( ( 1 - 29 T^{2} + 361 T^{4} )^{2} \))(\( ( 1 - 20 T^{2} + 361 T^{4} )^{4} \))(\( ( 1 - 71 T^{2} + 2738 T^{4} - 63899 T^{6} + 988418 T^{8} - 9252791 T^{10} + 47045881 T^{12} )^{2} \))(\( ( 1 - 71 T^{2} + 2738 T^{4} - 63899 T^{6} + 988418 T^{8} - 9252791 T^{10} + 47045881 T^{12} )^{2} \))(\( ( 1 - 30 T^{2} + 902 T^{4} - 10830 T^{6} + 130321 T^{8} )^{4} \))(\( ( 1 + 7 T^{2} + 361 T^{4} )^{4} \))(\( ( 1 - 56 T^{2} + 1408 T^{4} - 20216 T^{6} + 130321 T^{8} )^{2} \))(\( ( 1 - 56 T^{2} + 1408 T^{4} - 20216 T^{6} + 130321 T^{8} )^{2} \))(\( ( 1 - 59 T^{2} + 2126 T^{4} - 47939 T^{6} + 767486 T^{8} - 7688939 T^{10} + 47045881 T^{12} )^{2} \))(\( ( 1 - 59 T^{2} + 2126 T^{4} - 47939 T^{6} + 767486 T^{8} - 7688939 T^{10} + 47045881 T^{12} )^{2} \))(\( ( 1 + 7 T + 19 T^{2} )^{2} \))(\( ( 1 - 7 T + 19 T^{2} )^{2} \))(\( ( 1 + 19 T^{2} )^{4} \))(\( ( 1 + 19 T^{2} )^{4} \))(\( ( 1 + 11 T^{2} + 361 T^{4} )^{2} \))(\( ( 1 + 31 T^{2} + 361 T^{4} )^{2} \))(\( ( 1 + 56 T^{2} + 1504 T^{4} + 20216 T^{6} + 130321 T^{8} )^{2} \))(\( ( 1 + 16 T^{2} + 768 T^{4} + 5776 T^{6} + 130321 T^{8} )^{2} \))(\( ( 1 + 48 T^{2} + 1136 T^{4} + 17328 T^{6} + 130321 T^{8} )^{2} \))(\( ( 1 + 120 T^{2} + 6522 T^{4} + 215520 T^{6} + 4866395 T^{8} + 77802720 T^{10} + 849953562 T^{12} + 5645505720 T^{14} + 16983563041 T^{16} )^{2} \))(\( ( 1 - 12 T^{2} + 982 T^{4} - 11708 T^{6} + 448610 T^{8} - 4226588 T^{10} + 127975222 T^{12} - 564550572 T^{14} + 16983563041 T^{16} )^{2} \))
$23$ (\( 1 - 3 T + 23 T^{2} \))(\( 1 + 3 T + 23 T^{2} \))(\( 1 + 8 T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 - 8 T + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 - 3 T + 23 T^{2} \))(\( 1 + 7 T + 23 T^{2} \))(\( 1 - 7 T + 23 T^{2} \))(\( 1 + 3 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 - 8 T + 23 T^{2} \))(\( 1 + 8 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 3 T + 23 T^{2} \))(\( 1 - 7 T + 23 T^{2} \))(\( 1 + 7 T + 23 T^{2} \))(\( 1 - 3 T + 23 T^{2} \))(\( 1 - 8 T + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 + 8 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 + 3 T + 23 T^{2} \))(\( 1 - 3 T + 23 T^{2} \))(\( 1 + 2 T + 29 T^{2} + 46 T^{3} + 529 T^{4} \))(\( 1 - 2 T + 29 T^{2} - 46 T^{3} + 529 T^{4} \))(\( ( 1 - 4 T + 23 T^{2} )^{2} \))(\( 1 + 39 T^{2} + 529 T^{4} \))(\( 1 + 43 T^{2} + 529 T^{4} \))(\( ( 1 + 23 T^{2} )^{2} \))(\( ( 1 + 23 T^{2} )^{2} \))(\( ( 1 - 4 T + 23 T^{2} )^{2} \))(\( ( 1 - 8 T + 23 T^{2} )^{2} \))(\( ( 1 - 4 T + 23 T^{2} )^{2} \))(\( ( 1 + 4 T + 23 T^{2} )^{2} \))(\( ( 1 + 8 T + 23 T^{2} )^{2} \))(\( ( 1 + 4 T + 23 T^{2} )^{2} \))(\( ( 1 + 23 T^{2} )^{2} \))(\( ( 1 + 4 T + 23 T^{2} )^{2} \))(\( ( 1 - 4 T + 23 T^{2} )^{2} \))(\( ( 1 + 23 T^{2} )^{2} \))(\( 1 + 43 T^{2} + 529 T^{4} \))(\( 1 + 39 T^{2} + 529 T^{4} \))(\( 1 - 2 T + 29 T^{2} - 46 T^{3} + 529 T^{4} \))(\( 1 + 2 T + 29 T^{2} + 46 T^{3} + 529 T^{4} \))(\( ( 1 + 4 T + 23 T^{2} )^{2} \))(\( ( 1 - 34 T^{2} + 529 T^{4} )^{2} \))(\( ( 1 + 23 T^{2} )^{2} \))(\( ( 1 + 23 T^{2} )^{2} \))(\( ( 1 + 23 T^{2} )^{2} \))(\( ( 1 + 23 T^{2} )^{4} \))(\( ( 1 + 23 T^{2} )^{4} \))(\( ( 1 + 23 T^{2} )^{4} \))(\( ( 1 + 34 T^{2} + 529 T^{4} )^{2} \))(\( ( 1 + 34 T^{2} + 529 T^{4} )^{2} \))(\( ( 1 - 17 T^{2} + 529 T^{4} )^{2} \))(\( ( 1 - 17 T^{2} + 529 T^{4} )^{2} \))(\( ( 1 + 34 T^{2} + 529 T^{4} )^{4} \))(\( ( 1 + 69 T^{2} + 2406 T^{4} + 59821 T^{6} + 1272774 T^{8} + 19309029 T^{10} + 148035889 T^{12} )^{2} \))(\( ( 1 + 69 T^{2} + 2406 T^{4} + 59821 T^{6} + 1272774 T^{8} + 19309029 T^{10} + 148035889 T^{12} )^{2} \))(\( ( 1 - 14 T^{2} + 529 T^{4} )^{8} \))(\( ( 1 - 37 T^{2} + 529 T^{4} )^{4} \))(\( ( 1 - 68 T^{2} + 2086 T^{4} - 35972 T^{6} + 279841 T^{8} )^{2} \))(\( ( 1 - 68 T^{2} + 2086 T^{4} - 35972 T^{6} + 279841 T^{8} )^{2} \))(\( ( 1 - 39 T^{2} + 690 T^{4} - 14083 T^{6} + 365010 T^{8} - 10913799 T^{10} + 148035889 T^{12} )^{2} \))(\( ( 1 - 39 T^{2} + 690 T^{4} - 14083 T^{6} + 365010 T^{8} - 10913799 T^{10} + 148035889 T^{12} )^{2} \))(\( 1 + 29 T^{2} + 529 T^{4} \))(\( 1 + 29 T^{2} + 529 T^{4} \))(\( ( 1 - 23 T^{2} )^{4} \))(\( ( 1 - 23 T^{2} )^{4} \))(\( ( 1 - 45 T^{2} + 529 T^{4} )^{2} \))(\( ( 1 - 25 T^{2} + 529 T^{4} )^{2} \))(\( ( 1 - 20 T^{2} + 646 T^{4} - 10580 T^{6} + 279841 T^{8} )^{2} \))(\( ( 1 - 34 T^{2} + 529 T^{4} )^{4} \))(\( ( 1 - 36 T^{2} + 870 T^{4} - 19044 T^{6} + 279841 T^{8} )^{2} \))(\( ( 1 - 136 T^{2} + 8874 T^{4} - 360992 T^{6} + 9968363 T^{8} - 190964768 T^{10} + 2483309034 T^{12} - 20132880904 T^{14} + 78310985281 T^{16} )^{2} \))(\( ( 1 - 80 T^{2} + 3036 T^{4} - 81328 T^{6} + 1920134 T^{8} - 43022512 T^{10} + 849597276 T^{12} - 11842871120 T^{14} + 78310985281 T^{16} )^{2} \))
$29$ (\( 1 - 6 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 10 T + 29 T^{2} \))(\( 1 - 10 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 + 10 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 50 T^{2} + 841 T^{4} \))(\( 1 + 50 T^{2} + 841 T^{4} \))(\( 1 + 38 T^{2} + 841 T^{4} \))(\( ( 1 - 4 T + 29 T^{2} )^{2} \))(\( ( 1 + 8 T + 29 T^{2} )^{2} \))(\( ( 1 - 4 T + 29 T^{2} )^{2} \))(\( ( 1 + 4 T + 29 T^{2} )^{2} \))(\( ( 1 - 6 T + 29 T^{2} )^{2} \))(\( ( 1 + 6 T + 29 T^{2} )^{2} \))(\( ( 1 + 2 T + 29 T^{2} )^{2} \))(\( ( 1 + 2 T + 29 T^{2} )^{2} \))(\( ( 1 + 6 T + 29 T^{2} )^{2} \))(\( ( 1 - 6 T + 29 T^{2} )^{2} \))(\( ( 1 + 2 T + 29 T^{2} )^{2} \))(\( ( 1 + 8 T + 29 T^{2} )^{2} \))(\( ( 1 + 8 T + 29 T^{2} )^{2} \))(\( ( 1 + 2 T + 29 T^{2} )^{2} \))(\( ( 1 + 8 T + 29 T^{2} )^{2} \))(\( ( 1 - 4 T + 29 T^{2} )^{2} \))(\( 1 + 50 T^{2} + 841 T^{4} \))(\( 1 + 50 T^{2} + 841 T^{4} \))(\( 1 + 38 T^{2} + 841 T^{4} \))(\( ( 1 - 6 T + 29 T^{2} )^{4} \))(\( 1 + 6 T^{2} + 841 T^{4} \))(\( ( 1 - 29 T^{2} )^{2} \))(\( 1 + 6 T^{2} + 841 T^{4} \))(\( ( 1 - 29 T^{2} )^{4} \))(\( ( 1 - 29 T^{2} )^{4} \))(\( ( 1 - 29 T^{2} )^{4} \))(\( 1 - 84 T^{2} + 3254 T^{4} - 70644 T^{6} + 707281 T^{8} \))(\( 1 - 84 T^{2} + 3254 T^{4} - 70644 T^{6} + 707281 T^{8} \))(\( ( 1 - 30 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 - 30 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 - 10 T^{2} + 841 T^{4} )^{4} \))(\( ( 1 - 34 T^{2} + 39 T^{4} + 10036 T^{6} + 32799 T^{8} - 24047554 T^{10} + 594823321 T^{12} )^{2} \))(\( ( 1 - 34 T^{2} + 39 T^{4} + 10036 T^{6} + 32799 T^{8} - 24047554 T^{10} + 594823321 T^{12} )^{2} \))(\( ( 1 - 80 T^{2} + 3102 T^{4} - 67280 T^{6} + 707281 T^{8} )^{4} \))(\( ( 1 + 2 T^{2} + 841 T^{4} )^{4} \))(\( ( 1 - 28 T^{2} + 726 T^{4} - 23548 T^{6} + 707281 T^{8} )^{2} \))(\( ( 1 - 28 T^{2} + 726 T^{4} - 23548 T^{6} + 707281 T^{8} )^{2} \))(\( ( 1 - 90 T^{2} + 4311 T^{4} - 143548 T^{6} + 3625551 T^{8} - 63655290 T^{10} + 594823321 T^{12} )^{2} \))(\( ( 1 - 90 T^{2} + 4311 T^{4} - 143548 T^{6} + 3625551 T^{8} - 63655290 T^{10} + 594823321 T^{12} )^{2} \))(\( ( 1 - 6 T + 29 T^{2} )^{2} \))(\( ( 1 - 6 T + 29 T^{2} )^{2} \))(\( ( 1 + 40 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 - 40 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 + 4 T + 29 T^{2} )^{4} \))(\( ( 1 + 29 T^{2} )^{4} \))(\( ( 1 - 4 T + 29 T^{2} )^{8} \))(\( ( 1 + 50 T^{2} + 841 T^{4} )^{4} \))(\( ( 1 - 8 T + 66 T^{2} - 232 T^{3} + 841 T^{4} )^{4} \))(\( ( 1 + 4 T + 88 T^{2} + 332 T^{3} + 3534 T^{4} + 9628 T^{5} + 74008 T^{6} + 97556 T^{7} + 707281 T^{8} )^{4} \))(\( ( 1 + 8 T + 50 T^{2} + 360 T^{3} + 2786 T^{4} + 10440 T^{5} + 42050 T^{6} + 195112 T^{7} + 707281 T^{8} )^{4} \))
$31$ (\( 1 + T + 31 T^{2} \))(\( 1 + T + 31 T^{2} \))(\( 1 - 4 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 - 4 T + 31 T^{2} \))(\( 1 - 4 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 + 7 T + 31 T^{2} \))(\( 1 - 5 T + 31 T^{2} \))(\( 1 - 5 T + 31 T^{2} \))(\( 1 + 7 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 + 8 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 - 7 T + 31 T^{2} \))(\( 1 + 5 T + 31 T^{2} \))(\( 1 + 5 T + 31 T^{2} \))(\( 1 - 7 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 - 4 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 - 4 T + 31 T^{2} \))(\( 1 - T + 31 T^{2} \))(\( 1 - T + 31 T^{2} \))(\( 1 - 14 T + 109 T^{2} - 434 T^{3} + 961 T^{4} \))(\( 1 - 14 T + 109 T^{2} - 434 T^{3} + 961 T^{4} \))(\( 1 + 4 T + 46 T^{2} + 124 T^{3} + 961 T^{4} \))(\( 1 + 55 T^{2} + 961 T^{4} \))(\( 1 - 13 T^{2} + 961 T^{4} \))(\( ( 1 + 31 T^{2} )^{2} \))(\( ( 1 + 31 T^{2} )^{2} \))(\( 1 + 54 T^{2} + 961 T^{4} \))(\( 1 - 10 T^{2} + 961 T^{4} \))(\( 1 - 10 T^{2} + 961 T^{4} \))(\( 1 - 10 T^{2} + 961 T^{4} \))(\( 1 - 10 T^{2} + 961 T^{4} \))(\( 1 + 54 T^{2} + 961 T^{4} \))(\( 1 + 30 T^{2} + 961 T^{4} \))(\( ( 1 + 31 T^{2} )^{2} \))(\( ( 1 + 31 T^{2} )^{2} \))(\( 1 + 30 T^{2} + 961 T^{4} \))(\( 1 - 13 T^{2} + 961 T^{4} \))(\( 1 + 55 T^{2} + 961 T^{4} \))(\( 1 + 14 T + 109 T^{2} + 434 T^{3} + 961 T^{4} \))(\( 1 + 14 T + 109 T^{2} + 434 T^{3} + 961 T^{4} \))(\( 1 - 4 T + 46 T^{2} - 124 T^{3} + 961 T^{4} \))(\( ( 1 + 22 T^{2} + 961 T^{4} )^{2} \))(\( ( 1 - 8 T + 31 T^{2} )^{2} \))(\( ( 1 + 31 T^{2} )^{2} \))(\( ( 1 + 8 T + 31 T^{2} )^{2} \))(\( ( 1 + 31 T^{2} )^{4} \))(\( ( 1 + 31 T^{2} )^{4} \))(\( ( 1 + 31 T^{2} )^{4} \))(\( ( 1 - 4 T + 31 T^{2} )^{4} \))(\( ( 1 + 4 T + 31 T^{2} )^{4} \))(\( ( 1 + 55 T^{2} + 961 T^{4} )^{2} \))(\( ( 1 + 55 T^{2} + 961 T^{4} )^{2} \))(\( ( 1 - 34 T^{2} + 961 T^{4} )^{4} \))(\( ( 1 + 49 T^{2} + 2786 T^{4} + 89749 T^{6} + 2677346 T^{8} + 45252529 T^{10} + 887503681 T^{12} )^{2} \))(\( ( 1 + 49 T^{2} + 2786 T^{4} + 89749 T^{6} + 2677346 T^{8} + 45252529 T^{10} + 887503681 T^{12} )^{2} \))(\( ( 1 + 38 T^{2} + 961 T^{4} )^{8} \))(\( ( 1 + 59 T^{2} + 961 T^{4} )^{4} \))(\( ( 1 + 44 T^{2} + 2374 T^{4} + 42284 T^{6} + 923521 T^{8} )^{2} \))(\( ( 1 + 44 T^{2} + 2374 T^{4} + 42284 T^{6} + 923521 T^{8} )^{2} \))(\( ( 1 + 93 T^{2} + 4998 T^{4} + 187445 T^{6} + 4803078 T^{8} + 85887453 T^{10} + 887503681 T^{12} )^{2} \))(\( ( 1 + 93 T^{2} + 4998 T^{4} + 187445 T^{6} + 4803078 T^{8} + 85887453 T^{10} + 887503681 T^{12} )^{2} \))(\( ( 1 - 5 T + 31 T^{2} )^{2} \))(\( ( 1 + 5 T + 31 T^{2} )^{2} \))(\( ( 1 + 31 T^{2} )^{4} \))(\( ( 1 + 31 T^{2} )^{4} \))(\( ( 1 + 59 T^{2} + 961 T^{4} )^{2} \))(\( ( 1 + 55 T^{2} + 961 T^{4} )^{2} \))(\( ( 1 + 60 T^{2} + 2310 T^{4} + 57660 T^{6} + 923521 T^{8} )^{2} \))(\( ( 1 + 28 T^{2} + 966 T^{4} + 26908 T^{6} + 923521 T^{8} )^{2} \))(\( ( 1 + 28 T^{2} + 1990 T^{4} + 26908 T^{6} + 923521 T^{8} )^{2} \))(\( ( 1 + 120 T^{2} + 7674 T^{4} + 348000 T^{6} + 12242939 T^{8} + 334428000 T^{10} + 7087100154 T^{12} + 106500441720 T^{14} + 852891037441 T^{16} )^{2} \))(\( ( 1 + 60 T^{2} + 2310 T^{4} + 57660 T^{6} + 923521 T^{8} )^{4} \))
$37$ (\( 1 - 5 T + 37 T^{2} \))(\( 1 - 5 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 + 10 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 - T + 37 T^{2} \))(\( 1 + 3 T + 37 T^{2} \))(\( 1 + 3 T + 37 T^{2} \))(\( 1 - T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 - T + 37 T^{2} \))(\( 1 + 3 T + 37 T^{2} \))(\( 1 + 3 T + 37 T^{2} \))(\( 1 - T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 + 10 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 - 5 T + 37 T^{2} \))(\( 1 - 5 T + 37 T^{2} \))(\( 1 + 6 T + 51 T^{2} + 222 T^{3} + 1369 T^{4} \))(\( 1 + 6 T + 51 T^{2} + 222 T^{3} + 1369 T^{4} \))(\( 1 + 54 T^{2} + 1369 T^{4} \))(\( ( 1 - 5 T + 37 T^{2} )^{2} \))(\( ( 1 - 5 T + 37 T^{2} )^{2} \))(\( ( 1 - 12 T + 37 T^{2} )^{2} \))(\( ( 1 + 12 T + 37 T^{2} )^{2} \))(\( ( 1 + 2 T + 37 T^{2} )^{2} \))(\( ( 1 - 2 T + 37 T^{2} )^{2} \))(\( ( 1 + 10 T + 37 T^{2} )^{2} \))(\( ( 1 + 10 T + 37 T^{2} )^{2} \))(\( ( 1 - 2 T + 37 T^{2} )^{2} \))(\( ( 1 + 2 T + 37 T^{2} )^{2} \))(\( ( 1 + 10 T + 37 T^{2} )^{2} \))(\( ( 1 - 8 T + 37 T^{2} )^{2} \))(\( ( 1 - 8 T + 37 T^{2} )^{2} \))(\( ( 1 + 10 T + 37 T^{2} )^{2} \))(\( ( 1 - 5 T + 37 T^{2} )^{2} \))(\( ( 1 - 5 T + 37 T^{2} )^{2} \))(\( 1 + 6 T + 51 T^{2} + 222 T^{3} + 1369 T^{4} \))(\( 1 + 6 T + 51 T^{2} + 222 T^{3} + 1369 T^{4} \))(\( 1 + 54 T^{2} + 1369 T^{4} \))(\( ( 1 + 2 T + 37 T^{2} )^{4} \))(\( 1 - 10 T^{2} + 1369 T^{4} \))(\( ( 1 - 37 T^{2} )^{2} \))(\( 1 - 10 T^{2} + 1369 T^{4} \))(\( ( 1 - 37 T^{2} )^{4} \))(\( ( 1 - 37 T^{2} )^{4} \))(\( ( 1 - 37 T^{2} )^{4} \))(\( 1 - 116 T^{2} + 5910 T^{4} - 158804 T^{6} + 1874161 T^{8} \))(\( 1 - 116 T^{2} + 5910 T^{4} - 158804 T^{6} + 1874161 T^{8} \))(\( ( 1 - 67 T^{2} + 1369 T^{4} )^{2} \))(\( ( 1 - 67 T^{2} + 1369 T^{4} )^{2} \))(\( ( 1 - 10 T + 37 T^{2} )^{4}( 1 + 10 T + 37 T^{2} )^{4} \))(\( ( 1 - 13 T^{2} + 1934 T^{4} - 59641 T^{6} + 2647646 T^{8} - 24364093 T^{10} + 2565726409 T^{12} )^{2} \))(\( ( 1 - 13 T^{2} + 1934 T^{4} - 59641 T^{6} + 2647646 T^{8} - 24364093 T^{10} + 2565726409 T^{12} )^{2} \))(\( ( 1 - 64 T^{2} + 2142 T^{4} - 87616 T^{6} + 1874161 T^{8} )^{4} \))(\( ( 1 + 61 T^{2} + 1369 T^{4} )^{4} \))(\( ( 1 - 76 T^{2} + 3670 T^{4} - 104044 T^{6} + 1874161 T^{8} )^{2} \))(\( ( 1 - 76 T^{2} + 3670 T^{4} - 104044 T^{6} + 1874161 T^{8} )^{2} \))(\( ( 1 - 71 T^{2} + 1369 T^{4} )^{6} \))(\( ( 1 - 71 T^{2} + 1369 T^{4} )^{6} \))(\( ( 1 - 5 T + 37 T^{2} )^{2} \))(\( ( 1 - 5 T + 37 T^{2} )^{2} \))(\( ( 1 + 24 T^{2} + 1369 T^{4} )^{2} \))(\( ( 1 - 24 T^{2} + 1369 T^{4} )^{2} \))(\( ( 1 + 3 T + 37 T^{2} )^{4} \))(\( ( 1 + 7 T + 37 T^{2} )^{4} \))(\( ( 1 - 16 T + 130 T^{2} - 592 T^{3} + 1369 T^{4} )^{4} \))(\( ( 1 + 42 T^{2} + 1369 T^{4} )^{4} \))(\( ( 1 - 4 T + 37 T^{2} )^{8} \))(\( ( 1 + 4 T + 90 T^{2} + 224 T^{3} + 4259 T^{4} + 8288 T^{5} + 123210 T^{6} + 202612 T^{7} + 1874161 T^{8} )^{4} \))(\( ( 1 + 16 T + 218 T^{2} + 1872 T^{3} + 13410 T^{4} + 69264 T^{5} + 298442 T^{6} + 810448 T^{7} + 1874161 T^{8} )^{4} \))
$41$ (\( 1 - 10 T + 41 T^{2} \))(\( 1 + 10 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 - 4 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 - 10 T + 41 T^{2} \))(\( 1 + 4 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 - 8 T + 41 T^{2} \))(\( 1 + 10 T + 41 T^{2} \))(\( 1 + 41 T^{2} \))(\( 1 + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 + 8 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 - 4 T + 41 T^{2} \))(\( 1 - 10 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 + 4 T + 41 T^{2} \))(\( 1 - 10 T + 41 T^{2} \))(\( 1 + 10 T + 41 T^{2} \))(\( 1 + 8 T + 90 T^{2} + 328 T^{3} + 1681 T^{4} \))(\( 1 - 8 T + 90 T^{2} - 328 T^{3} + 1681 T^{4} \))(\( 1 - 8 T + 78 T^{2} - 328 T^{3} + 1681 T^{4} \))(\( ( 1 + 8 T + 41 T^{2} )^{2} \))(\( ( 1 - 4 T + 41 T^{2} )^{2} \))(\( 1 - 80 T^{2} + 1681 T^{4} \))(\( 1 + 80 T^{2} + 1681 T^{4} \))(\( 1 + 80 T^{2} + 1681 T^{4} \))(\( 1 + 64 T^{2} + 1681 T^{4} \))(\( 1 - 16 T^{2} + 1681 T^{4} \))(\( 1 - 16 T^{2} + 1681 T^{4} \))(\( 1 + 64 T^{2} + 1681 T^{4} \))(\( 1 + 80 T^{2} + 1681 T^{4} \))(\( 1 + 50 T^{2} + 1681 T^{4} \))(\( 1 + 32 T^{2} + 1681 T^{4} \))(\( 1 + 32 T^{2} + 1681 T^{4} \))(\( 1 + 50 T^{2} + 1681 T^{4} \))(\( ( 1 + 4 T + 41 T^{2} )^{2} \))(\( ( 1 - 8 T + 41 T^{2} )^{2} \))(\( 1 + 8 T + 90 T^{2} + 328 T^{3} + 1681 T^{4} \))(\( 1 - 8 T + 90 T^{2} - 328 T^{3} + 1681 T^{4} \))(\( 1 - 8 T + 78 T^{2} - 328 T^{3} + 1681 T^{4} \))(\( ( 1 + 80 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 + 10 T + 41 T^{2} )^{2} \))(\( ( 1 - 6 T + 41 T^{2} )^{2} \))(\( ( 1 + 10 T + 41 T^{2} )^{2} \))(\( ( 1 - 46 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 + 16 T + 128 T^{2} + 656 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 - 16 T + 128 T^{2} - 656 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 - 2 T + 41 T^{2} )^{4} \))(\( ( 1 - 2 T + 41 T^{2} )^{4} \))(\( ( 1 + 4 T + 41 T^{2} )^{4} \))(\( ( 1 - 4 T + 41 T^{2} )^{4} \))(\( ( 1 + 50 T^{2} + 1681 T^{4} )^{4} \))(\( ( 1 + 4 T + 103 T^{2} + 316 T^{3} + 4223 T^{4} + 6724 T^{5} + 68921 T^{6} )^{4} \))(\( ( 1 - 4 T + 103 T^{2} - 316 T^{3} + 4223 T^{4} - 6724 T^{5} + 68921 T^{6} )^{4} \))(\( ( 1 + 482 T^{4} + 2825761 T^{8} )^{4} \))(\( ( 1 + 26 T^{2} + 1681 T^{4} )^{4} \))(\( ( 1 - 112 T^{2} + 5920 T^{4} - 188272 T^{6} + 2825761 T^{8} )^{2} \))(\( ( 1 - 112 T^{2} + 5920 T^{4} - 188272 T^{6} + 2825761 T^{8} )^{2} \))(\( ( 1 - 162 T^{2} + 12879 T^{4} - 645388 T^{6} + 21649599 T^{8} - 457773282 T^{10} + 4750104241 T^{12} )^{2} \))(\( ( 1 - 162 T^{2} + 12879 T^{4} - 645388 T^{6} + 21649599 T^{8} - 457773282 T^{10} + 4750104241 T^{12} )^{2} \))(\( 1 - 34 T^{2} + 1681 T^{4} \))(\( 1 - 34 T^{2} + 1681 T^{4} \))(\( 1 + 1440 T^{4} + 2825761 T^{8} \))(\( 1 - 1440 T^{4} + 2825761 T^{8} \))(\( ( 1 - 70 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 - 70 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 - 64 T^{2} + 2464 T^{4} - 107584 T^{6} + 2825761 T^{8} )^{2} \))(\( ( 1 - 96 T^{2} + 5568 T^{4} - 161376 T^{6} + 2825761 T^{8} )^{2} \))(\( ( 1 - 128 T^{2} + 7296 T^{4} - 215168 T^{6} + 2825761 T^{8} )^{2} \))(\( ( 1 - 272 T^{2} + 34236 T^{4} - 2596336 T^{6} + 129652166 T^{8} - 4364440816 T^{10} + 96742753596 T^{12} - 1292028353552 T^{14} + 7984925229121 T^{16} )^{2} \))(\( ( 1 - 128 T^{2} + 8768 T^{4} - 432256 T^{6} + 18288706 T^{8} - 726622336 T^{10} + 24776272448 T^{12} - 608013342848 T^{14} + 7984925229121 T^{16} )^{2} \))
$43$ (\( 1 + 4 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 + 12 T + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 - 12 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 + 43 T^{2} \))(\( 1 + 43 T^{2} \))(\( 1 - 12 T + 43 T^{2} \))(\( 1 + 12 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( 1 - 12 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 + 12 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 + 8 T + 70 T^{2} + 344 T^{3} + 1849 T^{4} \))(\( 1 - 8 T + 70 T^{2} - 344 T^{3} + 1849 T^{4} \))(\( 1 + 4 T + 70 T^{2} + 172 T^{3} + 1849 T^{4} \))(\( 1 - 26 T^{2} + 1849 T^{4} \))(\( 1 + 38 T^{2} + 1849 T^{4} \))(\( ( 1 + 43 T^{2} )^{2} \))(\( ( 1 + 43 T^{2} )^{2} \))(\( ( 1 + 10 T + 43 T^{2} )^{2} \))(\( ( 1 + 6 T + 43 T^{2} )^{2} \))(\( ( 1 - 2 T + 43 T^{2} )^{2} \))(\( ( 1 + 2 T + 43 T^{2} )^{2} \))(\( ( 1 - 6 T + 43 T^{2} )^{2} \))(\( ( 1 - 10 T + 43 T^{2} )^{2} \))(\( ( 1 + 4 T + 43 T^{2} )^{2} \))(\( ( 1 - 4 T + 43 T^{2} )^{2} \))(\( ( 1 + 4 T + 43 T^{2} )^{2} \))(\( ( 1 - 4 T + 43 T^{2} )^{2} \))(\( 1 + 38 T^{2} + 1849 T^{4} \))(\( 1 - 26 T^{2} + 1849 T^{4} \))(\( 1 - 8 T + 70 T^{2} - 344 T^{3} + 1849 T^{4} \))(\( 1 + 8 T + 70 T^{2} + 344 T^{3} + 1849 T^{4} \))(\( 1 - 4 T + 70 T^{2} - 172 T^{3} + 1849 T^{4} \))(\( ( 1 + 66 T^{2} + 1849 T^{4} )^{2} \))(\( 1 - 82 T^{2} + 1849 T^{4} \))(\( 1 + 14 T^{2} + 1849 T^{4} \))(\( 1 - 82 T^{2} + 1849 T^{4} \))(\( ( 1 + 14 T^{2} + 1849 T^{4} )^{2} \))(\( ( 1 - 10 T + 43 T^{2} )^{2}( 1 + 10 T + 43 T^{2} )^{2} \))(\( ( 1 - 10 T + 43 T^{2} )^{2}( 1 + 10 T + 43 T^{2} )^{2} \))(\( 1 - 140 T^{2} + 8406 T^{4} - 258860 T^{6} + 3418801 T^{8} \))(\( 1 - 140 T^{2} + 8406 T^{4} - 258860 T^{6} + 3418801 T^{8} \))(\( ( 1 + 14 T^{2} + 1849 T^{4} )^{2} \))(\( ( 1 + 14 T^{2} + 1849 T^{4} )^{2} \))(\( ( 1 - 22 T^{2} + 1849 T^{4} )^{4} \))(\( ( 1 - 198 T^{2} + 18231 T^{4} - 994612 T^{6} + 33709119 T^{8} - 676922598 T^{10} + 6321363049 T^{12} )^{2} \))(\( ( 1 - 198 T^{2} + 18231 T^{4} - 994612 T^{6} + 33709119 T^{8} - 676922598 T^{10} + 6321363049 T^{12} )^{2} \))(\( ( 1 - 64 T^{2} + 3102 T^{4} - 118336 T^{6} + 3418801 T^{8} )^{4} \))(\( ( 1 + 43 T^{2} )^{8} \))(\( ( 1 - 12 T^{2} + 1849 T^{4} )^{4} \))(\( ( 1 - 12 T^{2} + 1849 T^{4} )^{4} \))(\( ( 1 + 38 T^{2} + 1849 T^{4} )^{6} \))(\( ( 1 + 38 T^{2} + 1849 T^{4} )^{6} \))(\( 1 - 74 T^{2} + 1849 T^{4} \))(\( 1 - 74 T^{2} + 1849 T^{4} \))(\( ( 1 - 43 T^{2} )^{4} \))(\( ( 1 - 43 T^{2} )^{4} \))(\( ( 1 - 82 T^{2} + 1849 T^{4} )^{2} \))(\( ( 1 - 2 T^{2} + 1849 T^{4} )^{2} \))(\( ( 1 - 40 T^{2} + 3586 T^{4} - 73960 T^{6} + 3418801 T^{8} )^{2} \))(\( ( 1 - 136 T^{2} + 8034 T^{4} - 251464 T^{6} + 3418801 T^{8} )^{2} \))(\( ( 1 - 56 T^{2} + 4450 T^{4} - 103544 T^{6} + 3418801 T^{8} )^{2} \))(\( ( 1 - 152 T^{2} + 8604 T^{4} - 204136 T^{6} + 3083174 T^{8} - 377447464 T^{10} + 29415363804 T^{12} - 960847183448 T^{14} + 11688200277601 T^{16} )^{2} \))(\( ( 1 - 212 T^{2} + 22520 T^{4} - 1575548 T^{6} + 79141710 T^{8} - 2913188252 T^{10} + 76991398520 T^{12} - 1340128966388 T^{14} + 11688200277601 T^{16} )^{2} \))
$47$ (\( 1 - T + 47 T^{2} \))(\( 1 - T + 47 T^{2} \))(\( 1 + 4 T + 47 T^{2} \))(\( 1 + 12 T + 47 T^{2} \))(\( 1 - 12 T + 47 T^{2} \))(\( 1 + 4 T + 47 T^{2} \))(\( 1 + 12 T + 47 T^{2} \))(\( 1 + 9 T + 47 T^{2} \))(\( 1 + 5 T + 47 T^{2} \))(\( 1 + 5 T + 47 T^{2} \))(\( 1 + 9 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 8 T + 47 T^{2} \))(\( 1 - 8 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 - 9 T + 47 T^{2} \))(\( 1 - 5 T + 47 T^{2} \))(\( 1 - 5 T + 47 T^{2} \))(\( 1 - 9 T + 47 T^{2} \))(\( 1 - 4 T + 47 T^{2} \))(\( 1 - 12 T + 47 T^{2} \))(\( 1 - 4 T + 47 T^{2} \))(\( 1 + 12 T + 47 T^{2} \))(\( 1 - 12 T + 47 T^{2} \))(\( 1 + T + 47 T^{2} \))(\( 1 + T + 47 T^{2} \))(\( 1 - 18 T + 173 T^{2} - 846 T^{3} + 2209 T^{4} \))(\( 1 - 18 T + 173 T^{2} - 846 T^{3} + 2209 T^{4} \))(\( 1 + 12 T + 110 T^{2} + 564 T^{3} + 2209 T^{4} \))(\( 1 + 87 T^{2} + 2209 T^{4} \))(\( 1 + 19 T^{2} + 2209 T^{4} \))(\( ( 1 + 47 T^{2} )^{2} \))(\( ( 1 + 47 T^{2} )^{2} \))(\( 1 + 86 T^{2} + 2209 T^{4} \))(\( 1 + 86 T^{2} + 2209 T^{4} \))(\( 1 + 86 T^{2} + 2209 T^{4} \))(\( 1 + 86 T^{2} + 2209 T^{4} \))(\( 1 + 86 T^{2} + 2209 T^{4} \))(\( 1 + 86 T^{2} + 2209 T^{4} \))(\( 1 + 62 T^{2} + 2209 T^{4} \))(\( 1 + 62 T^{2} + 2209 T^{4} \))(\( 1 + 62 T^{2} + 2209 T^{4} \))(\( 1 + 62 T^{2} + 2209 T^{4} \))(\( 1 + 19 T^{2} + 2209 T^{4} \))(\( 1 + 87 T^{2} + 2209 T^{4} \))(\( 1 + 18 T + 173 T^{2} + 846 T^{3} + 2209 T^{4} \))(\( 1 + 18 T + 173 T^{2} + 846 T^{3} + 2209 T^{4} \))(\( 1 - 12 T + 110 T^{2} - 564 T^{3} + 2209 T^{4} \))(\( ( 1 + 54 T^{2} + 2209 T^{4} )^{2} \))(\( ( 1 + 8 T + 47 T^{2} )^{2} \))(\( ( 1 + 47 T^{2} )^{2} \))(\( ( 1 - 8 T + 47 T^{2} )^{2} \))(\( ( 1 + 47 T^{2} )^{4} \))(\( ( 1 + 47 T^{2} )^{4} \))(\( ( 1 + 47 T^{2} )^{4} \))(\( ( 1 + 8 T + 62 T^{2} + 376 T^{3} + 2209 T^{4} )^{2} \))(\( ( 1 - 8 T + 62 T^{2} - 376 T^{3} + 2209 T^{4} )^{2} \))(\( ( 1 + 87 T^{2} + 2209 T^{4} )^{2} \))(\( ( 1 + 87 T^{2} + 2209 T^{4} )^{2} \))(\( ( 1 - 2 T^{2} + 2209 T^{4} )^{4} \))(\( ( 1 + 169 T^{2} + 12162 T^{4} + 604205 T^{6} + 26865858 T^{8} + 824666089 T^{10} + 10779215329 T^{12} )^{2} \))(\( ( 1 + 169 T^{2} + 12162 T^{4} + 604205 T^{6} + 26865858 T^{8} + 824666089 T^{10} + 10779215329 T^{12} )^{2} \))(\( ( 1 - 2 T^{2} + 2209 T^{4} )^{8} \))(\( ( 1 + 67 T^{2} + 2209 T^{4} )^{4} \))(\( ( 1 + 28 T^{2} + 4486 T^{4} + 61852 T^{6} + 4879681 T^{8} )^{2} \))(\( ( 1 + 28 T^{2} + 4486 T^{4} + 61852 T^{6} + 4879681 T^{8} )^{2} \))(\( ( 1 + 45 T^{2} + 6246 T^{4} + 187477 T^{6} + 13797414 T^{8} + 219585645 T^{10} + 10779215329 T^{12} )^{2} \))(\( ( 1 + 45 T^{2} + 6246 T^{4} + 187477 T^{6} + 13797414 T^{8} + 219585645 T^{10} + 10779215329 T^{12} )^{2} \))(\( ( 1 - 3 T + 47 T^{2} )^{2} \))(\( ( 1 + 3 T + 47 T^{2} )^{2} \))(\( ( 1 + 47 T^{2} )^{4} \))(\( ( 1 + 47 T^{2} )^{4} \))(\( ( 1 + 19 T^{2} + 2209 T^{4} )^{2} \))(\( ( 1 + 31 T^{2} + 2209 T^{4} )^{2} \))(\( ( 1 - 84 T^{2} + 4614 T^{4} - 185556 T^{6} + 4879681 T^{8} )^{2} \))(\( ( 1 - 52 T^{2} + 4806 T^{4} - 114868 T^{6} + 4879681 T^{8} )^{2} \))(\( ( 1 + 140 T^{2} + 9286 T^{4} + 309260 T^{6} + 4879681 T^{8} )^{2} \))(\( ( 1 + 200 T^{2} + 21066 T^{4} + 1537600 T^{6} + 83332619 T^{8} + 3396558400 T^{10} + 102795359946 T^{12} + 2155843065800 T^{14} + 23811286661761 T^{16} )^{2} \))(\( ( 1 + 296 T^{2} + 41372 T^{4} + 3533848 T^{6} + 201169606 T^{8} + 7806270232 T^{10} + 201882162332 T^{12} + 3190647737384 T^{14} + 23811286661761 T^{16} )^{2} \))
$53$ (\( 1 - 9 T + 53 T^{2} \))(\( 1 - 9 T + 53 T^{2} \))(\( 1 - 10 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - 2 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 + 3 T + 53 T^{2} \))(\( 1 - T + 53 T^{2} \))(\( 1 - T + 53 T^{2} \))(\( 1 + 3 T + 53 T^{2} \))(\( 1 + 14 T + 53 T^{2} \))(\( 1 + 14 T + 53 T^{2} \))(\( 1 - 10 T + 53 T^{2} \))(\( 1 - 10 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 + 14 T + 53 T^{2} \))(\( 1 + 3 T + 53 T^{2} \))(\( 1 - T + 53 T^{2} \))(\( 1 - T + 53 T^{2} \))(\( 1 + 3 T + 53 T^{2} \))(\( 1 - 10 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - 2 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - 9 T + 53 T^{2} \))(\( 1 - 9 T + 53 T^{2} \))(\( ( 1 - T + 53 T^{2} )^{2} \))(\( ( 1 - T + 53 T^{2} )^{2} \))(\( ( 1 - 10 T + 53 T^{2} )^{2} \))(\( ( 1 + 7 T + 53 T^{2} )^{2} \))(\( ( 1 - T + 53 T^{2} )^{2} \))(\( ( 1 - 14 T + 53 T^{2} )^{2} \))(\( ( 1 - 14 T + 53 T^{2} )^{2} \))(\( ( 1 - 2 T + 53 T^{2} )^{2} \))(\( ( 1 + 6 T + 53 T^{2} )^{2} \))(\( ( 1 - 2 T + 53 T^{2} )^{2} \))(\( ( 1 - 2 T + 53 T^{2} )^{2} \))(\( ( 1 + 6 T + 53 T^{2} )^{2} \))(\( ( 1 - 2 T + 53 T^{2} )^{2} \))(\( ( 1 + 6 T + 53 T^{2} )^{2} \))(\( ( 1 + 10 T + 53 T^{2} )^{2} \))(\( ( 1 + 10 T + 53 T^{2} )^{2} \))(\( ( 1 + 6 T + 53 T^{2} )^{2} \))(\( ( 1 - T + 53 T^{2} )^{2} \))(\( ( 1 + 7 T + 53 T^{2} )^{2} \))(\( ( 1 - T + 53 T^{2} )^{2} \))(\( ( 1 - T + 53 T^{2} )^{2} \))(\( ( 1 - 10 T + 53 T^{2} )^{2} \))(\( ( 1 + 6 T + 53 T^{2} )^{4} \))(\( ( 1 - 53 T^{2} )^{2} \))(\( ( 1 - 53 T^{2} )^{2} \))(\( ( 1 - 53 T^{2} )^{2} \))(\( ( 1 - 53 T^{2} )^{4} \))(\( ( 1 - 53 T^{2} )^{4} \))(\( ( 1 - 53 T^{2} )^{4} \))(\( ( 1 + 38 T^{2} + 2809 T^{4} )^{2} \))(\( ( 1 + 38 T^{2} + 2809 T^{4} )^{2} \))(\( ( 1 - 43 T^{2} + 2809 T^{4} )^{2} \))(\( ( 1 - 43 T^{2} + 2809 T^{4} )^{2} \))(\( ( 1 - 58 T^{2} + 2809 T^{4} )^{4} \))(\( ( 1 - 79 T^{2} + 2809 T^{4} )^{6} \))(\( ( 1 - 79 T^{2} + 2809 T^{4} )^{6} \))(\( ( 1 - 58 T^{2} + 2809 T^{4} )^{8} \))(\( ( 1 - 91 T^{2} + 2809 T^{4} )^{4} \))(\( ( 1 - 36 T^{2} + 1334 T^{4} - 101124 T^{6} + 7890481 T^{8} )^{2} \))(\( ( 1 - 36 T^{2} + 1334 T^{4} - 101124 T^{6} + 7890481 T^{8} )^{2} \))(\( ( 1 - 165 T^{2} + 12030 T^{4} - 643777 T^{6} + 33792270 T^{8} - 1301929365 T^{10} + 22164361129 T^{12} )^{2} \))(\( ( 1 - 165 T^{2} + 12030 T^{4} - 643777 T^{6} + 33792270 T^{8} - 1301929365 T^{10} + 22164361129 T^{12} )^{2} \))(\( ( 1 - 9 T + 53 T^{2} )^{2} \))(\( ( 1 - 9 T + 53 T^{2} )^{2} \))(\( ( 1 + 4 T + 53 T^{2} )^{4} \))(\( ( 1 - 4 T + 53 T^{2} )^{4} \))(\( ( 1 - T + 53 T^{2} )^{4} \))(\( ( 1 + 3 T + 53 T^{2} )^{4} \))(\( ( 1 + 12 T + 134 T^{2} + 636 T^{3} + 2809 T^{4} )^{4} \))(\( ( 1 + 4 T + 38 T^{2} + 212 T^{3} + 2809 T^{4} )^{4} \))(\( ( 1 + 4 T + 38 T^{2} + 212 T^{3} + 2809 T^{4} )^{4} \))(\( ( 1 + 4 T + 122 T^{2} + 736 T^{3} + 7363 T^{4} + 39008 T^{5} + 342698 T^{6} + 595508 T^{7} + 7890481 T^{8} )^{4} \))(\( ( 1 - 12 T + 128 T^{2} - 788 T^{3} + 6350 T^{4} - 41764 T^{5} + 359552 T^{6} - 1786524 T^{7} + 7890481 T^{8} )^{4} \))
$59$ (\( 1 + 3 T + 59 T^{2} \))(\( 1 + 3 T + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 - 10 T + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 + 9 T + 59 T^{2} \))(\( 1 - 15 T + 59 T^{2} \))(\( 1 - 15 T + 59 T^{2} \))(\( 1 + 9 T + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 - 9 T + 59 T^{2} \))(\( 1 + 15 T + 59 T^{2} \))(\( 1 + 15 T + 59 T^{2} \))(\( 1 - 9 T + 59 T^{2} \))(\( 1 - 6 T + 59 T^{2} \))(\( 1 - 6 T + 59 T^{2} \))(\( 1 + 10 T + 59 T^{2} \))(\( 1 - 6 T + 59 T^{2} \))(\( 1 - 6 T + 59 T^{2} \))(\( 1 - 3 T + 59 T^{2} \))(\( 1 - 3 T + 59 T^{2} \))(\( 1 + 2 T + 21 T^{2} + 118 T^{3} + 3481 T^{4} \))(\( 1 + 2 T + 21 T^{2} + 118 T^{3} + 3481 T^{4} \))(\( 1 + 14 T + 162 T^{2} + 826 T^{3} + 3481 T^{4} \))(\( 1 + 111 T^{2} + 3481 T^{4} \))(\( 1 + 115 T^{2} + 3481 T^{4} \))(\( ( 1 + 59 T^{2} )^{2} \))(\( ( 1 + 59 T^{2} )^{2} \))(\( 1 + 116 T^{2} + 3481 T^{4} \))(\( 1 - 44 T^{2} + 3481 T^{4} \))(\( 1 + 116 T^{2} + 3481 T^{4} \))(\( 1 + 116 T^{2} + 3481 T^{4} \))(\( 1 - 44 T^{2} + 3481 T^{4} \))(\( 1 + 116 T^{2} + 3481 T^{4} \))(\( 1 + 110 T^{2} + 3481 T^{4} \))(\( 1 - 82 T^{2} + 3481 T^{4} \))(\( 1 - 82 T^{2} + 3481 T^{4} \))(\( 1 + 110 T^{2} + 3481 T^{4} \))(\( 1 + 115 T^{2} + 3481 T^{4} \))(\( 1 + 111 T^{2} + 3481 T^{4} \))(\( 1 - 2 T + 21 T^{2} - 118 T^{3} + 3481 T^{4} \))(\( 1 - 2 T + 21 T^{2} - 118 T^{3} + 3481 T^{4} \))(\( 1 - 14 T + 162 T^{2} - 826 T^{3} + 3481 T^{4} \))(\( ( 1 + 108 T^{2} + 3481 T^{4} )^{2} \))(\( 1 - 18 T^{2} + 3481 T^{4} \))(\( 1 - 82 T^{2} + 3481 T^{4} \))(\( 1 - 18 T^{2} + 3481 T^{4} \))(\( ( 1 - 6 T + 59 T^{2} )^{2}( 1 + 6 T + 59 T^{2} )^{2} \))(\( ( 1 - 20 T + 200 T^{2} - 1180 T^{3} + 3481 T^{4} )( 1 + 20 T + 200 T^{2} + 1180 T^{3} + 3481 T^{4} ) \))(\( ( 1 - 20 T + 200 T^{2} - 1180 T^{3} + 3481 T^{4} )( 1 + 20 T + 200 T^{2} + 1180 T^{3} + 3481 T^{4} ) \))(\( 1 - 84 T^{2} + 8426 T^{4} - 292404 T^{6} + 12117361 T^{8} \))(\( 1 - 84 T^{2} + 8426 T^{4} - 292404 T^{6} + 12117361 T^{8} \))(\( ( 1 - 93 T^{2} + 3481 T^{4} )^{2} \))(\( ( 1 - 93 T^{2} + 3481 T^{4} )^{2} \))(\( ( 1 - 116 T^{2} + 3481 T^{4} )^{4} \))(\( ( 1 - 163 T^{2} + 17622 T^{4} - 1200899 T^{6} + 61342182 T^{8} - 1975129843 T^{10} + 42180533641 T^{12} )^{2} \))(\( ( 1 - 163 T^{2} + 17622 T^{4} - 1200899 T^{6} + 61342182 T^{8} - 1975129843 T^{10} + 42180533641 T^{12} )^{2} \))(\( ( 1 - 222 T^{2} + 19238 T^{4} - 772782 T^{6} + 12117361 T^{8} )^{4} \))(\( ( 1 - 113 T^{2} + 3481 T^{4} )^{4} \))(\( ( 1 - 120 T^{2} + 7200 T^{4} - 417720 T^{6} + 12117361 T^{8} )^{2} \))(\( ( 1 - 120 T^{2} + 7200 T^{4} - 417720 T^{6} + 12117361 T^{8} )^{2} \))(\( ( 1 - 239 T^{2} + 27146 T^{4} - 1940267 T^{6} + 94495226 T^{8} - 2896049279 T^{10} + 42180533641 T^{12} )^{2} \))(\( ( 1 - 239 T^{2} + 27146 T^{4} - 1940267 T^{6} + 94495226 T^{8} - 2896049279 T^{10} + 42180533641 T^{12} )^{2} \))(\( ( 1 + 9 T + 59 T^{2} )^{2} \))(\( ( 1 - 9 T + 59 T^{2} )^{2} \))(\( ( 1 + 59 T^{2} )^{4} \))(\( ( 1 + 59 T^{2} )^{4} \))(\( ( 1 + 91 T^{2} + 3481 T^{4} )^{2} \))(\( ( 1 + 55 T^{2} + 3481 T^{4} )^{2} \))(\( ( 1 - 8 T^{2} + 2176 T^{4} - 27848 T^{6} + 12117361 T^{8} )^{2} \))(\( ( 1 + 224 T^{2} + 19488 T^{4} + 779744 T^{6} + 12117361 T^{8} )^{2} \))(\( ( 1 + 32 T^{2} + 6640 T^{4} + 111392 T^{6} + 12117361 T^{8} )^{2} \))(\( ( 1 + 216 T^{2} + 21354 T^{4} + 1317792 T^{6} + 71530763 T^{8} + 4587233952 T^{10} + 258754126794 T^{12} + 9110995266456 T^{14} + 146830437604321 T^{16} )^{2} \))(\( ( 1 + 244 T^{2} + 32918 T^{4} + 3053764 T^{6} + 207159522 T^{8} + 10630152484 T^{10} + 398879289398 T^{12} + 10292050208404 T^{14} + 146830437604321 T^{16} )^{2} \))
$61$ (\( 1 - 3 T + 61 T^{2} \))(\( 1 + 3 T + 61 T^{2} \))(\( 1 - 4 T + 61 T^{2} \))(\( 1 - 6 T + 61 T^{2} \))(\( 1 - 8 T + 61 T^{2} \))(\( 1 + 8 T + 61 T^{2} \))(\( 1 + 6 T + 61 T^{2} \))(\( 1 - T + 61 T^{2} \))(\( 1 + 5 T + 61 T^{2} \))(\( 1 - 5 T + 61 T^{2} \))(\( 1 + T + 61 T^{2} \))(\( 1 - 12 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 + 61 T^{2} \))(\( 1 + 61 T^{2} \))(\( 1 + 6 T + 61 T^{2} \))(\( 1 + 6 T + 61 T^{2} \))(\( 1 + 12 T + 61 T^{2} \))(\( 1 - T + 61 T^{2} \))(\( 1 + 5 T + 61 T^{2} \))(\( 1 - 5 T + 61 T^{2} \))(\( 1 + T + 61 T^{2} \))(\( 1 - 4 T + 61 T^{2} \))(\( 1 - 6 T + 61 T^{2} \))(\( 1 + 8 T + 61 T^{2} \))(\( 1 - 8 T + 61 T^{2} \))(\( 1 + 6 T + 61 T^{2} \))(\( 1 - 3 T + 61 T^{2} \))(\( 1 + 3 T + 61 T^{2} \))(\( 1 + 6 T + 99 T^{2} + 366 T^{3} + 3721 T^{4} \))(\( 1 - 6 T + 99 T^{2} - 366 T^{3} + 3721 T^{4} \))(\( 1 - 18 T + 198 T^{2} - 1098 T^{3} + 3721 T^{4} \))(\( ( 1 + 5 T + 61 T^{2} )^{2} \))(\( ( 1 + 11 T + 61 T^{2} )^{2} \))(\( 1 - 120 T^{2} + 3721 T^{4} \))(\( 1 + 120 T^{2} + 3721 T^{4} \))(\( 1 + 50 T^{2} + 3721 T^{4} \))(\( 1 + 90 T^{2} + 3721 T^{4} \))(\( 1 + 114 T^{2} + 3721 T^{4} \))(\( 1 + 114 T^{2} + 3721 T^{4} \))(\( 1 + 90 T^{2} + 3721 T^{4} \))(\( 1 + 50 T^{2} + 3721 T^{4} \))(\( 1 - 78 T^{2} + 3721 T^{4} \))(\( 1 + 72 T^{2} + 3721 T^{4} \))(\( 1 + 72 T^{2} + 3721 T^{4} \))(\( 1 - 78 T^{2} + 3721 T^{4} \))(\( ( 1 - 11 T + 61 T^{2} )^{2} \))(\( ( 1 - 5 T + 61 T^{2} )^{2} \))(\( 1 + 6 T + 99 T^{2} + 366 T^{3} + 3721 T^{4} \))(\( 1 - 6 T + 99 T^{2} - 366 T^{3} + 3721 T^{4} \))(\( 1 - 18 T + 198 T^{2} - 1098 T^{3} + 3721 T^{4} \))(\( ( 1 + 50 T^{2} + 3721 T^{4} )^{2} \))(\( 1 - 106 T^{2} + 3721 T^{4} \))(\( ( 1 - 61 T^{2} )^{2} \))(\( 1 - 106 T^{2} + 3721 T^{4} \))(\( ( 1 - 61 T^{2} )^{4} \))(\( ( 1 - 61 T^{2} )^{4} \))(\( ( 1 - 61 T^{2} )^{4} \))(\( 1 + 52 T^{2} + 7530 T^{4} + 193492 T^{6} + 13845841 T^{8} \))(\( 1 + 52 T^{2} + 7530 T^{4} + 193492 T^{6} + 13845841 T^{8} \))(\( ( 1 - 115 T^{2} + 3721 T^{4} )^{2} \))(\( ( 1 - 115 T^{2} + 3721 T^{4} )^{2} \))(\( ( 1 - 68 T^{2} + 3721 T^{4} )^{4} \))(\( ( 1 - 133 T^{2} + 12494 T^{4} - 811297 T^{6} + 46490174 T^{8} - 1841496853 T^{10} + 51520374361 T^{12} )^{2} \))(\( ( 1 - 133 T^{2} + 12494 T^{4} - 811297 T^{6} + 46490174 T^{8} - 1841496853 T^{10} + 51520374361 T^{12} )^{2} \))(\( ( 1 - 226 T^{2} + 20166 T^{4} - 840946 T^{6} + 13845841 T^{8} )^{4} \))(\( ( 1 + 77 T^{2} + 3721 T^{4} )^{4} \))(\( ( 1 + 140 T^{2} + 11950 T^{4} + 520940 T^{6} + 13845841 T^{8} )^{2} \))(\( ( 1 + 140 T^{2} + 11950 T^{4} + 520940 T^{6} + 13845841 T^{8} )^{2} \))(\( ( 1 + 17 T + 210 T^{2} + 1741 T^{3} + 12810 T^{4} + 63257 T^{5} + 226981 T^{6} )^{4} \))(\( ( 1 - 17 T + 210 T^{2} - 1741 T^{3} + 12810 T^{4} - 63257 T^{5} + 226981 T^{6} )^{4} \))(\( ( 1 - 13 T + 61 T^{2} )( 1 + 13 T + 61 T^{2} ) \))(\( ( 1 - 13 T + 61 T^{2} )( 1 + 13 T + 61 T^{2} ) \))(\( 1 - 2640 T^{4} + 13845841 T^{8} \))(\( 1 + 2640 T^{4} + 13845841 T^{8} \))(\( ( 1 - 95 T^{2} + 3721 T^{4} )^{2} \))(\( ( 1 - 119 T^{2} + 3721 T^{4} )^{2} \))(\( ( 1 - 12 T^{2} - 5970 T^{4} - 44652 T^{6} + 13845841 T^{8} )^{2} \))(\( ( 1 - 108 T^{2} + 9966 T^{4} - 401868 T^{6} + 13845841 T^{8} )^{2} \))(\( ( 1 - 44 T^{2} + 2926 T^{4} - 163724 T^{6} + 13845841 T^{8} )^{2} \))(\( ( 1 - 220 T^{2} + 29226 T^{4} - 2682512 T^{6} + 186790931 T^{8} - 9981627152 T^{10} + 404658549066 T^{12} - 11334482359420 T^{14} + 191707312997281 T^{16} )^{2} \))(\( ( 1 - 332 T^{2} + 52382 T^{4} - 5247788 T^{6} + 373453890 T^{8} - 19527019148 T^{10} + 725272843262 T^{12} - 17104764287852 T^{14} + 191707312997281 T^{16} )^{2} \))
$67$ (\( 1 - 11 T + 67 T^{2} \))(\( 1 + 11 T + 67 T^{2} \))(\( 1 + 12 T + 67 T^{2} \))(\( 1 + 12 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 - 8 T + 67 T^{2} \))(\( 1 - 12 T + 67 T^{2} \))(\( 1 - 7 T + 67 T^{2} \))(\( 1 - 9 T + 67 T^{2} \))(\( 1 + 9 T + 67 T^{2} \))(\( 1 + 7 T + 67 T^{2} \))(\( 1 + 67 T^{2} \))(\( 1 + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 + 67 T^{2} \))(\( 1 + 7 T + 67 T^{2} \))(\( 1 + 9 T + 67 T^{2} \))(\( 1 - 9 T + 67 T^{2} \))(\( 1 - 7 T + 67 T^{2} \))(\( 1 - 12 T + 67 T^{2} \))(\( 1 - 12 T + 67 T^{2} \))(\( 1 + 8 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 + 12 T + 67 T^{2} \))(\( 1 + 11 T + 67 T^{2} \))(\( 1 - 11 T + 67 T^{2} \))(\( 1 - 14 T + 165 T^{2} - 938 T^{3} + 4489 T^{4} \))(\( 1 + 14 T + 165 T^{2} + 938 T^{3} + 4489 T^{4} \))(\( ( 1 + 4 T + 67 T^{2} )^{2} \))(\( 1 + 127 T^{2} + 4489 T^{4} \))(\( 1 - 13 T^{2} + 4489 T^{4} \))(\( ( 1 + 67 T^{2} )^{2} \))(\( ( 1 + 67 T^{2} )^{2} \))(\( ( 1 + 4 T + 67 T^{2} )^{2} \))(\( ( 1 + 12 T + 67 T^{2} )^{2} \))(\( ( 1 - 12 T + 67 T^{2} )^{2} \))(\( ( 1 + 12 T + 67 T^{2} )^{2} \))(\( ( 1 - 12 T + 67 T^{2} )^{2} \))(\( ( 1 - 4 T + 67 T^{2} )^{2} \))(\( ( 1 - 12 T + 67 T^{2} )^{2} \))(\( ( 1 + 67 T^{2} )^{2} \))(\( ( 1 + 67 T^{2} )^{2} \))(\( ( 1 + 12 T + 67 T^{2} )^{2} \))(\( 1 - 13 T^{2} + 4489 T^{4} \))(\( 1 + 127 T^{2} + 4489 T^{4} \))(\( 1 + 14 T + 165 T^{2} + 938 T^{3} + 4489 T^{4} \))(\( 1 - 14 T + 165 T^{2} - 938 T^{3} + 4489 T^{4} \))(\( ( 1 - 4 T + 67 T^{2} )^{2} \))(\( ( 1 + 67 T^{2} )^{4} \))(\( 1 - 130 T^{2} + 4489 T^{4} \))(\( 1 + 62 T^{2} + 4489 T^{4} \))(\( 1 - 130 T^{2} + 4489 T^{4} \))(\( ( 1 + 62 T^{2} + 4489 T^{4} )^{2} \))(\( ( 1 + 62 T^{2} + 4489 T^{4} )^{2} \))(\( ( 1 + 62 T^{2} + 4489 T^{4} )^{2} \))(\( ( 1 - 70 T^{2} + 4489 T^{4} )^{2} \))(\( ( 1 - 70 T^{2} + 4489 T^{4} )^{2} \))(\( ( 1 - 85 T^{2} + 4489 T^{4} )^{2} \))(\( ( 1 - 85 T^{2} + 4489 T^{4} )^{2} \))(\( ( 1 - 70 T^{2} + 4489 T^{4} )^{4} \))(\( ( 1 - 243 T^{2} + 32382 T^{4} - 2658571 T^{6} + 145362798 T^{8} - 4896722403 T^{10} + 90458382169 T^{12} )^{2} \))(\( ( 1 - 243 T^{2} + 32382 T^{4} - 2658571 T^{6} + 145362798 T^{8} - 4896722403 T^{10} + 90458382169 T^{12} )^{2} \))(\( ( 1 - 118 T^{2} + 4489 T^{4} )^{8} \))(\( ( 1 - T^{2} + 4489 T^{4} )^{4} \))(\( ( 1 - 4 T + 106 T^{2} - 268 T^{3} + 4489 T^{4} )^{4} \))(\( ( 1 + 4 T + 106 T^{2} + 268 T^{3} + 4489 T^{4} )^{4} \))(\( ( 1 + 201 T^{2} + 24402 T^{4} + 1889669 T^{6} + 109540578 T^{8} + 4050375321 T^{10} + 90458382169 T^{12} )^{2} \))(\( ( 1 + 201 T^{2} + 24402 T^{4} + 1889669 T^{6} + 109540578 T^{8} + 4050375321 T^{10} + 90458382169 T^{12} )^{2} \))(\( 1 - 107 T^{2} + 4489 T^{4} \))(\( 1 - 107 T^{2} + 4489 T^{4} \))(\( ( 1 - 67 T^{2} )^{4} \))(\( ( 1 - 67 T^{2} )^{4} \))(\( ( 1 - 125 T^{2} + 4489 T^{4} )^{2} \))(\( ( 1 - 113 T^{2} + 4489 T^{4} )^{2} \))(\( ( 1 - 172 T^{2} + 14326 T^{4} - 772108 T^{6} + 20151121 T^{8} )^{2} \))(\( ( 1 - 124 T^{2} + 8214 T^{4} - 556636 T^{6} + 20151121 T^{8} )^{2} \))(\( ( 1 - 156 T^{2} + 13014 T^{4} - 700284 T^{6} + 20151121 T^{8} )^{2} \))(\( ( 1 - 248 T^{2} + 31290 T^{4} - 2902336 T^{6} + 216992219 T^{8} - 13028586304 T^{10} + 630528576090 T^{12} - 22433678777912 T^{14} + 406067677556641 T^{16} )^{2} \))(\( ( 1 - 248 T^{2} + 34748 T^{4} - 3384328 T^{6} + 254602918 T^{8} - 15192248392 T^{10} + 700211152508 T^{12} - 22433678777912 T^{14} + 406067677556641 T^{16} )^{2} \))
$71$ (\( 1 + 16 T + 71 T^{2} \))(\( 1 - 16 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 - 8 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 8 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 - 16 T + 71 T^{2} \))(\( 1 + 16 T + 71 T^{2} \))(\( 1 - 8 T + 71 T^{2} \))(\( 1 + 8 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 8 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 - 8 T + 71 T^{2} \))(\( 1 - 16 T + 71 T^{2} \))(\( 1 + 16 T + 71 T^{2} \))(\( 1 - 16 T + 174 T^{2} - 1136 T^{3} + 5041 T^{4} \))(\( 1 + 16 T + 174 T^{2} + 1136 T^{3} + 5041 T^{4} \))(\( 1 - 8 T + 78 T^{2} - 568 T^{3} + 5041 T^{4} \))(\( ( 1 + 71 T^{2} )^{2} \))(\( 1 - 50 T^{2} + 5041 T^{4} \))(\( ( 1 + 71 T^{2} )^{2} \))(\( ( 1 + 71 T^{2} )^{2} \))(\( ( 1 + 12 T + 71 T^{2} )^{2} \))(\( ( 1 + 4 T + 71 T^{2} )^{2} \))(\( ( 1 - 12 T + 71 T^{2} )^{2} \))(\( ( 1 + 12 T + 71 T^{2} )^{2} \))(\( ( 1 - 4 T + 71 T^{2} )^{2} \))(\( ( 1 - 12 T + 71 T^{2} )^{2} \))(\( ( 1 + 71 T^{2} )^{2} \))(\( ( 1 + 71 T^{2} )^{2} \))(\( ( 1 + 71 T^{2} )^{2} \))(\( ( 1 + 71 T^{2} )^{2} \))(\( 1 - 50 T^{2} + 5041 T^{4} \))(\( ( 1 + 71 T^{2} )^{2} \))(\( 1 + 16 T + 174 T^{2} + 1136 T^{3} + 5041 T^{4} \))(\( 1 - 16 T + 174 T^{2} - 1136 T^{3} + 5041 T^{4} \))(\( 1 + 8 T + 78 T^{2} + 568 T^{3} + 5041 T^{4} \))(\( ( 1 + 62 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 - 8 T + 71 T^{2} )^{2} \))(\( ( 1 + 71 T^{2} )^{2} \))(\( ( 1 + 8 T + 71 T^{2} )^{2} \))(\( ( 1 + 71 T^{2} )^{4} \))(\( ( 1 + 71 T^{2} )^{4} \))(\( ( 1 + 71 T^{2} )^{4} \))(\( ( 1 - 8 T + 110 T^{2} - 568 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 + 8 T + 110 T^{2} + 568 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 + 30 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 + 30 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 - 50 T^{2} + 5041 T^{4} )^{4} \))(\( ( 1 + 202 T^{2} + 20895 T^{4} + 1639436 T^{6} + 105331695 T^{8} + 5133159562 T^{10} + 128100283921 T^{12} )^{2} \))(\( ( 1 + 202 T^{2} + 20895 T^{4} + 1639436 T^{6} + 105331695 T^{8} + 5133159562 T^{10} + 128100283921 T^{12} )^{2} \))(\( ( 1 + 140 T^{2} + 12102 T^{4} + 705740 T^{6} + 25411681 T^{8} )^{4} \))(\( ( 1 - 106 T^{2} + 5041 T^{4} )^{4} \))(\( ( 1 - 108 T^{2} + 8390 T^{4} - 544428 T^{6} + 25411681 T^{8} )^{2} \))(\( ( 1 - 108 T^{2} + 8390 T^{4} - 544428 T^{6} + 25411681 T^{8} )^{2} \))(\( ( 1 - 106 T^{2} + 5041 T^{4} )^{6} \))(\( ( 1 - 106 T^{2} + 5041 T^{4} )^{6} \))(\( 1 - 130 T^{2} + 5041 T^{4} \))(\( 1 - 130 T^{2} + 5041 T^{4} \))(\( ( 1 - 71 T^{2} )^{4} \))(\( ( 1 - 71 T^{2} )^{4} \))(\( ( 1 + 54 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 - 58 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 - 188 T^{2} + 16870 T^{4} - 947708 T^{6} + 25411681 T^{8} )^{2} \))(\( ( 1 - 46 T^{2} + 5041 T^{4} )^{4} \))(\( ( 1 - 71 T^{2} )^{8} \))(\( ( 1 - 248 T^{2} + 34492 T^{4} - 3463880 T^{6} + 277458886 T^{8} - 17461419080 T^{10} + 876499701052 T^{12} - 31768870412408 T^{14} + 645753531245761 T^{16} )^{2} \))(\( ( 1 - 88 T^{2} + 10652 T^{4} - 859880 T^{6} + 78258694 T^{8} - 4334655080 T^{10} + 270685226012 T^{12} - 11272824985048 T^{14} + 645753531245761 T^{16} )^{2} \))
$73$ (\( 1 + 7 T + 73 T^{2} \))(\( 1 - 7 T + 73 T^{2} \))(\( 1 - 14 T + 73 T^{2} \))(\( 1 + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 - 6 T + 73 T^{2} \))(\( 1 + 73 T^{2} \))(\( 1 + T + 73 T^{2} \))(\( 1 + 7 T + 73 T^{2} \))(\( 1 - 7 T + 73 T^{2} \))(\( 1 - T + 73 T^{2} \))(\( 1 + 16 T + 73 T^{2} \))(\( 1 - 6 T + 73 T^{2} \))(\( 1 + 73 T^{2} \))(\( 1 + 73 T^{2} \))(\( 1 + 10 T + 73 T^{2} \))(\( 1 + 10 T + 73 T^{2} \))(\( 1 - 16 T + 73 T^{2} \))(\( 1 + T + 73 T^{2} \))(\( 1 + 7 T + 73 T^{2} \))(\( 1 - 7 T + 73 T^{2} \))(\( 1 - T + 73 T^{2} \))(\( 1 - 14 T + 73 T^{2} \))(\( 1 + 73 T^{2} \))(\( 1 - 6 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 + 73 T^{2} \))(\( 1 + 7 T + 73 T^{2} \))(\( 1 - 7 T + 73 T^{2} \))(\( 1 + 18 T + 195 T^{2} + 1314 T^{3} + 5329 T^{4} \))(\( 1 - 18 T + 195 T^{2} - 1314 T^{3} + 5329 T^{4} \))(\( 1 + 12 T + 102 T^{2} + 876 T^{3} + 5329 T^{4} \))(\( ( 1 - 9 T + 73 T^{2} )^{2} \))(\( ( 1 - 15 T + 73 T^{2} )^{2} \))(\( 1 - 96 T^{2} + 5329 T^{4} \))(\( 1 + 96 T^{2} + 5329 T^{4} \))(\( 1 + 48 T^{2} + 5329 T^{4} \))(\( 1 + 144 T^{2} + 5329 T^{4} \))(\( 1 + 144 T^{2} + 5329 T^{4} \))(\( 1 + 144 T^{2} + 5329 T^{4} \))(\( 1 + 144 T^{2} + 5329 T^{4} \))(\( 1 + 48 T^{2} + 5329 T^{4} \))(\( ( 1 + 73 T^{2} )^{2} \))(\( 1 + 96 T^{2} + 5329 T^{4} \))(\( 1 + 96 T^{2} + 5329 T^{4} \))(\( ( 1 + 73 T^{2} )^{2} \))(\( ( 1 + 15 T + 73 T^{2} )^{2} \))(\( ( 1 + 9 T + 73 T^{2} )^{2} \))(\( 1 + 18 T + 195 T^{2} + 1314 T^{3} + 5329 T^{4} \))(\( 1 - 18 T + 195 T^{2} - 1314 T^{3} + 5329 T^{4} \))(\( 1 + 12 T + 102 T^{2} + 876 T^{3} + 5329 T^{4} \))(\( ( 1 + 96 T^{2} + 5329 T^{4} )^{2} \))(\( ( 1 - 6 T + 73 T^{2} )^{2} \))(\( ( 1 + 2 T + 73 T^{2} )^{2} \))(\( ( 1 - 6 T + 73 T^{2} )^{2} \))(\( ( 1 - 142 T^{2} + 5329 T^{4} )^{2} \))(\( ( 1 - 24 T + 288 T^{2} - 1752 T^{3} + 5329 T^{4} )^{2} \))(\( ( 1 + 24 T + 288 T^{2} + 1752 T^{3} + 5329 T^{4} )^{2} \))(\( ( 1 + 12 T + 134 T^{2} + 876 T^{3} + 5329 T^{4} )^{2} \))(\( ( 1 + 12 T + 134 T^{2} + 876 T^{3} + 5329 T^{4} )^{2} \))(\( ( 1 + 15 T + 73 T^{2} )^{4} \))(\( ( 1 - 15 T + 73 T^{2} )^{4} \))(\( ( 1 + 73 T^{2} )^{8} \))(\( ( 1 + 19 T + 270 T^{2} + 2375 T^{3} + 19710 T^{4} + 101251 T^{5} + 389017 T^{6} )^{4} \))(\( ( 1 - 19 T + 270 T^{2} - 2375 T^{3} + 19710 T^{4} - 101251 T^{5} + 389017 T^{6} )^{4} \))(\( ( 1 + 96 T^{2} + 10082 T^{4} + 511584 T^{6} + 28398241 T^{8} )^{4} \))(\( ( 1 - 119 T^{2} + 5329 T^{4} )^{4} \))(\( ( 1 - 48 T^{2} + 1152 T^{4} - 255792 T^{6} + 28398241 T^{8} )^{2} \))(\( ( 1 - 48 T^{2} + 1152 T^{4} - 255792 T^{6} + 28398241 T^{8} )^{2} \))(\( ( 1 - 261 T^{2} + 35046 T^{4} - 3063089 T^{6} + 186760134 T^{8} - 7411940901 T^{10} + 151334226289 T^{12} )^{2} \))(\( ( 1 - 261 T^{2} + 35046 T^{4} - 3063089 T^{6} + 186760134 T^{8} - 7411940901 T^{10} + 151334226289 T^{12} )^{2} \))(\( ( 1 - 17 T + 73 T^{2} )( 1 + 17 T + 73 T^{2} ) \))(\( ( 1 - 17 T + 73 T^{2} )( 1 + 17 T + 73 T^{2} ) \))(\( 1 - 10560 T^{4} + 28398241 T^{8} \))(\( 1 + 10560 T^{4} + 28398241 T^{8} \))(\( ( 1 - 71 T^{2} + 5329 T^{4} )^{2} \))(\( ( 1 - 119 T^{2} + 5329 T^{4} )^{2} \))(\( ( 1 - 272 T^{2} + 29056 T^{4} - 1449488 T^{6} + 28398241 T^{8} )^{2} \))(\( ( 1 - 192 T^{2} + 18624 T^{4} - 1023168 T^{6} + 28398241 T^{8} )^{2} \))(\( ( 1 - 32 T^{2} + 6496 T^{4} - 170528 T^{6} + 28398241 T^{8} )^{2} \))(\( ( 1 - 396 T^{2} + 77274 T^{4} - 9645072 T^{6} + 836463203 T^{8} - 51398588688 T^{10} + 2194445675034 T^{12} - 59928353610444 T^{14} + 806460091894081 T^{16} )^{2} \))(\( ( 1 - 368 T^{2} + 58304 T^{4} - 5589104 T^{6} + 424131906 T^{8} - 29784335216 T^{10} + 1655731043264 T^{12} - 55690995274352 T^{14} + 806460091894081 T^{16} )^{2} \))
$79$ (\( 1 - 11 T + 79 T^{2} \))(\( 1 + 11 T + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 + 16 T + 79 T^{2} \))(\( 1 + 79 T^{2} \))(\( 1 + 13 T + 79 T^{2} \))(\( 1 - T + 79 T^{2} \))(\( 1 + T + 79 T^{2} \))(\( 1 - 13 T + 79 T^{2} \))(\( 1 + 79 T^{2} \))(\( 1 + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 + 16 T + 79 T^{2} \))(\( 1 - 16 T + 79 T^{2} \))(\( 1 + 79 T^{2} \))(\( 1 - 13 T + 79 T^{2} \))(\( 1 + T + 79 T^{2} \))(\( 1 - T + 79 T^{2} \))(\( 1 + 13 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 + 79 T^{2} \))(\( 1 - 16 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 + 79 T^{2} \))(\( 1 + 11 T + 79 T^{2} \))(\( 1 - 11 T + 79 T^{2} \))(\( 1 + 2 T + 109 T^{2} + 158 T^{3} + 6241 T^{4} \))(\( 1 - 2 T + 109 T^{2} - 158 T^{3} + 6241 T^{4} \))(\( 1 - 8 T + 94 T^{2} - 632 T^{3} + 6241 T^{4} \))(\( 1 + 151 T^{2} + 6241 T^{4} \))(\( 1 + 155 T^{2} + 6241 T^{4} \))(\( ( 1 + 79 T^{2} )^{2} \))(\( ( 1 + 79 T^{2} )^{2} \))(\( ( 1 + 4 T + 79 T^{2} )^{2} \))(\( ( 1 - 12 T + 79 T^{2} )^{2} \))(\( ( 1 - 4 T + 79 T^{2} )^{2} \))(\( ( 1 + 4 T + 79 T^{2} )^{2} \))(\( ( 1 + 12 T + 79 T^{2} )^{2} \))(\( ( 1 - 4 T + 79 T^{2} )^{2} \))(\( ( 1 + 8 T + 79 T^{2} )^{2} \))(\( ( 1 - 8 T + 79 T^{2} )^{2} \))(\( ( 1 + 8 T + 79 T^{2} )^{2} \))(\( ( 1 - 8 T + 79 T^{2} )^{2} \))(\( 1 + 155 T^{2} + 6241 T^{4} \))(\( 1 + 151 T^{2} + 6241 T^{4} \))(\( 1 - 2 T + 109 T^{2} - 158 T^{3} + 6241 T^{4} \))(\( 1 + 2 T + 109 T^{2} + 158 T^{3} + 6241 T^{4} \))(\( 1 + 8 T + 94 T^{2} + 632 T^{3} + 6241 T^{4} \))(\( ( 1 + 78 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 - 8 T + 79 T^{2} )^{2} \))(\( ( 1 + 79 T^{2} )^{2} \))(\( ( 1 + 8 T + 79 T^{2} )^{2} \))(\( ( 1 + 79 T^{2} )^{4} \))(\( ( 1 + 79 T^{2} )^{4} \))(\( ( 1 + 79 T^{2} )^{4} \))(\( ( 1 - 8 T + 126 T^{2} - 632 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 + 8 T + 126 T^{2} + 632 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 - 17 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 - 17 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 - 34 T^{2} + 6241 T^{4} )^{4} \))(\( ( 1 + 229 T^{2} + 33638 T^{4} + 3129517 T^{6} + 209934758 T^{8} + 8919568549 T^{10} + 243087455521 T^{12} )^{2} \))(\( ( 1 + 229 T^{2} + 33638 T^{4} + 3129517 T^{6} + 209934758 T^{8} + 8919568549 T^{10} + 243087455521 T^{12} )^{2} \))(\( ( 1 + 172 T^{2} + 16998 T^{4} + 1073452 T^{6} + 38950081 T^{8} )^{4} \))(\( ( 1 + 11 T^{2} + 6241 T^{4} )^{4} \))(\( ( 1 - 28 T^{2} + 4486 T^{4} - 174748 T^{6} + 38950081 T^{8} )^{2} \))(\( ( 1 - 28 T^{2} + 4486 T^{4} - 174748 T^{6} + 38950081 T^{8} )^{2} \))(\( ( 1 - 423 T^{2} + 78210 T^{4} - 8061523 T^{6} + 488108610 T^{8} - 16475884263 T^{10} + 243087455521 T^{12} )^{2} \))(\( ( 1 - 423 T^{2} + 78210 T^{4} - 8061523 T^{6} + 488108610 T^{8} - 16475884263 T^{10} + 243087455521 T^{12} )^{2} \))(\( ( 1 - 17 T + 79 T^{2} )( 1 + 17 T + 79 T^{2} ) \))(\( ( 1 - 17 T + 79 T^{2} )( 1 + 17 T + 79 T^{2} ) \))(\( ( 1 - 79 T^{2} )^{4} \))(\( ( 1 - 79 T^{2} )^{4} \))(\( ( 1 - 77 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 - 137 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 - 172 T^{2} + 17830 T^{4} - 1073452 T^{6} + 38950081 T^{8} )^{2} \))(\( ( 1 - 172 T^{2} + 15270 T^{4} - 1073452 T^{6} + 38950081 T^{8} )^{2} \))(\( ( 1 - 236 T^{2} + 25894 T^{4} - 1472876 T^{6} + 38950081 T^{8} )^{2} \))(\( ( 1 - 296 T^{2} + 39114 T^{4} - 3067744 T^{6} + 214554059 T^{8} - 19145790304 T^{10} + 1523493468234 T^{12} - 71953886834216 T^{14} + 1517108809906561 T^{16} )^{2} \))(\( ( 1 - 168 T^{2} + 21436 T^{4} - 1928728 T^{6} + 159604358 T^{8} - 12037191448 T^{10} + 834933936316 T^{12} - 40838692527528 T^{14} + 1517108809906561 T^{16} )^{2} \))
$83$ (\( 1 - 4 T + 83 T^{2} \))(\( 1 - 4 T + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 - 2 T + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 + 8 T + 83 T^{2} \))(\( 1 - 8 T + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 + 2 T + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 + 4 T + 83 T^{2} \))(\( 1 + 4 T + 83 T^{2} \))(\( 1 + 8 T + 54 T^{2} + 664 T^{3} + 6889 T^{4} \))(\( 1 + 8 T + 54 T^{2} + 664 T^{3} + 6889 T^{4} \))(\( 1 + 14 T + 210 T^{2} + 1162 T^{3} + 6889 T^{4} \))(\( 1 + 54 T^{2} + 6889 T^{4} \))(\( 1 + 118 T^{2} + 6889 T^{4} \))(\( ( 1 + 83 T^{2} )^{2} \))(\( ( 1 + 83 T^{2} )^{2} \))(\( 1 + 164 T^{2} + 6889 T^{4} \))(\( 1 + 68 T^{2} + 6889 T^{4} \))(\( 1 + 68 T^{2} + 6889 T^{4} \))(\( 1 + 68 T^{2} + 6889 T^{4} \))(\( 1 + 68 T^{2} + 6889 T^{4} \))(\( 1 + 164 T^{2} + 6889 T^{4} \))(\( 1 - 34 T^{2} + 6889 T^{4} \))(\( 1 - 34 T^{2} + 6889 T^{4} \))(\( 1 - 34 T^{2} + 6889 T^{4} \))(\( 1 - 34 T^{2} + 6889 T^{4} \))(\( 1 + 118 T^{2} + 6889 T^{4} \))(\( 1 + 54 T^{2} + 6889 T^{4} \))(\( 1 - 8 T + 54 T^{2} - 664 T^{3} + 6889 T^{4} \))(\( 1 - 8 T + 54 T^{2} - 664 T^{3} + 6889 T^{4} \))(\( 1 - 14 T + 210 T^{2} - 1162 T^{3} + 6889 T^{4} \))(\( ( 1 + 76 T^{2} + 6889 T^{4} )^{2} \))(\( 1 - 130 T^{2} + 6889 T^{4} \))(\( 1 + 158 T^{2} + 6889 T^{4} \))(\( 1 - 130 T^{2} + 6889 T^{4} \))(\( ( 1 - 18 T + 83 T^{2} )^{2}( 1 + 18 T + 83 T^{2} )^{2} \))(\( ( 1 - 4 T + 8 T^{2} - 332 T^{3} + 6889 T^{4} )( 1 + 4 T + 8 T^{2} + 332 T^{3} + 6889 T^{4} ) \))(\( ( 1 - 4 T + 8 T^{2} - 332 T^{3} + 6889 T^{4} )( 1 + 4 T + 8 T^{2} + 332 T^{3} + 6889 T^{4} ) \))(\( 1 - 164 T^{2} + 17802 T^{4} - 1129796 T^{6} + 47458321 T^{8} \))(\( 1 - 164 T^{2} + 17802 T^{4} - 1129796 T^{6} + 47458321 T^{8} \))(\( ( 1 - 130 T^{2} + 6889 T^{4} )^{2} \))(\( ( 1 - 130 T^{2} + 6889 T^{4} )^{2} \))(\( ( 1 - 164 T^{2} + 6889 T^{4} )^{4} \))(\( ( 1 - 294 T^{2} + 45255 T^{4} - 4558516 T^{6} + 311761695 T^{8} - 13952746374 T^{10} + 326940373369 T^{12} )^{2} \))(\( ( 1 - 294 T^{2} + 45255 T^{4} - 4558516 T^{6} + 311761695 T^{8} - 13952746374 T^{10} + 326940373369 T^{12} )^{2} \))(\( ( 1 - 102 T^{2} + 15254 T^{4} - 702678 T^{6} + 47458321 T^{8} )^{4} \))(\( ( 1 - 146 T^{2} + 6889 T^{4} )^{4} \))(\( ( 1 - 328 T^{2} + 40672 T^{4} - 2259592 T^{6} + 47458321 T^{8} )^{2} \))(\( ( 1 - 328 T^{2} + 40672 T^{4} - 2259592 T^{6} + 47458321 T^{8} )^{2} \))(\( ( 1 - 134 T^{2} + 15431 T^{4} - 1438964 T^{6} + 106304159 T^{8} - 6359415014 T^{10} + 326940373369 T^{12} )^{2} \))(\( ( 1 - 134 T^{2} + 15431 T^{4} - 1438964 T^{6} + 106304159 T^{8} - 6359415014 T^{10} + 326940373369 T^{12} )^{2} \))(\( ( 1 + 12 T + 83 T^{2} )^{2} \))(\( ( 1 - 12 T + 83 T^{2} )^{2} \))(\( ( 1 + 83 T^{2} )^{4} \))(\( ( 1 + 83 T^{2} )^{4} \))(\( ( 1 - 26 T^{2} + 6889 T^{4} )^{2} \))(\( ( 1 + 83 T^{2} )^{4} \))(\( ( 1 + 232 T^{2} + 25312 T^{4} + 1598248 T^{6} + 47458321 T^{8} )^{2} \))(\( ( 1 + 320 T^{2} + 39360 T^{4} + 2204480 T^{6} + 47458321 T^{8} )^{2} \))(\( ( 1 + 224 T^{2} + 25072 T^{4} + 1543136 T^{6} + 47458321 T^{8} )^{2} \))(\( ( 1 + 248 T^{2} + 25404 T^{4} + 1379080 T^{6} + 70811942 T^{8} + 9500482120 T^{10} + 1205631186684 T^{12} + 81081212595512 T^{14} + 2252292232139041 T^{16} )^{2} \))(\( ( 1 + 100 T^{2} + 16790 T^{4} + 1955540 T^{6} + 140437474 T^{8} + 13471715060 T^{10} + 796825209590 T^{12} + 32694037336900 T^{14} + 2252292232139041 T^{16} )^{2} \))
$89$ (\( 1 - 9 T + 89 T^{2} \))(\( 1 + 9 T + 89 T^{2} \))(\( 1 + 10 T + 89 T^{2} \))(\( 1 + 16 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 + 18 T + 89 T^{2} \))(\( 1 - 16 T + 89 T^{2} \))(\( 1 - 15 T + 89 T^{2} \))(\( 1 + 7 T + 89 T^{2} \))(\( 1 - 7 T + 89 T^{2} \))(\( 1 + 15 T + 89 T^{2} \))(\( 1 + 16 T + 89 T^{2} \))(\( 1 + 10 T + 89 T^{2} \))(\( 1 + 89 T^{2} \))(\( 1 + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 - 16 T + 89 T^{2} \))(\( 1 - 15 T + 89 T^{2} \))(\( 1 + 7 T + 89 T^{2} \))(\( 1 - 7 T + 89 T^{2} \))(\( 1 + 15 T + 89 T^{2} \))(\( 1 + 10 T + 89 T^{2} \))(\( 1 + 16 T + 89 T^{2} \))(\( 1 + 18 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 - 16 T + 89 T^{2} \))(\( 1 - 9 T + 89 T^{2} \))(\( 1 + 9 T + 89 T^{2} \))(\( ( 1 + 9 T + 89 T^{2} )^{2} \))(\( ( 1 - 9 T + 89 T^{2} )^{2} \))(\( ( 1 - 6 T + 89 T^{2} )^{2} \))(\( ( 1 - 9 T + 89 T^{2} )^{2} \))(\( ( 1 - 7 T + 89 T^{2} )^{2} \))(\( 1 + 160 T^{2} + 7921 T^{4} \))(\( 1 - 160 T^{2} + 7921 T^{4} \))(\( 1 + 160 T^{2} + 7921 T^{4} \))(\( 1 + 160 T^{2} + 7921 T^{4} \))(\( 1 + 128 T^{2} + 7921 T^{4} \))(\( 1 + 128 T^{2} + 7921 T^{4} \))(\( 1 + 160 T^{2} + 7921 T^{4} \))(\( 1 + 160 T^{2} + 7921 T^{4} \))(\( ( 1 + 89 T^{2} )^{2} \))(\( 1 + 128 T^{2} + 7921 T^{4} \))(\( 1 + 128 T^{2} + 7921 T^{4} \))(\( ( 1 + 89 T^{2} )^{2} \))(\( ( 1 + 7 T + 89 T^{2} )^{2} \))(\( ( 1 + 9 T + 89 T^{2} )^{2} \))(\( ( 1 + 9 T + 89 T^{2} )^{2} \))(\( ( 1 - 9 T + 89 T^{2} )^{2} \))(\( ( 1 - 6 T + 89 T^{2} )^{2} \))(\( ( 1 + 80 T^{2} + 7921 T^{4} )^{2} \))(\( ( 1 + 10 T + 89 T^{2} )^{2} \))(\( ( 1 + 18 T + 89 T^{2} )^{2} \))(\( ( 1 + 10 T + 89 T^{2} )^{2} \))(\( ( 1 + 146 T^{2} + 7921 T^{4} )^{2} \))(\( ( 1 + 8 T + 32 T^{2} + 712 T^{3} + 7921 T^{4} )^{2} \))(\( ( 1 - 8 T + 32 T^{2} - 712 T^{3} + 7921 T^{4} )^{2} \))(\( ( 1 - 4 T - 10 T^{2} - 356 T^{3} + 7921 T^{4} )^{2} \))(\( ( 1 - 4 T - 10 T^{2} - 356 T^{3} + 7921 T^{4} )^{2} \))(\( ( 1 - 5 T + 89 T^{2} )^{4} \))(\( ( 1 + 5 T + 89 T^{2} )^{4} \))(\( ( 1 + 50 T^{2} + 7921 T^{4} )^{4} \))(\( ( 1 + 7 T + 166 T^{2} + 1075 T^{3} + 14774 T^{4} + 55447 T^{5} + 704969 T^{6} )^{4} \))(\( ( 1 - 7 T + 166 T^{2} - 1075 T^{3} + 14774 T^{4} - 55447 T^{5} + 704969 T^{6} )^{4} \))(\( ( 1 + 240 T^{2} + 27362 T^{4} + 1901040 T^{6} + 62742241 T^{8} )^{4} \))(\( ( 1 - 151 T^{2} + 7921 T^{4} )^{4} \))(\( ( 1 + 12480 T^{4} + 62742241 T^{8} )^{2} \))(\( ( 1 + 12480 T^{4} + 62742241 T^{8} )^{2} \))(\( ( 1 - 151 T^{2} + 7921 T^{4} )^{6} \))(\( ( 1 - 151 T^{2} + 7921 T^{4} )^{6} \))(\( 1 - 31 T^{2} + 7921 T^{4} \))(\( 1 - 31 T^{2} + 7921 T^{4} \))(\( 1 + 12480 T^{4} + 62742241 T^{8} \))(\( 1 - 12480 T^{4} + 62742241 T^{8} \))(\( ( 1 + 65 T^{2} + 7921 T^{4} )^{2} \))(\( ( 1 - 175 T^{2} + 7921 T^{4} )^{2} \))(\( ( 1 - 256 T^{2} + 30304 T^{4} - 2027776 T^{6} + 62742241 T^{8} )^{2} \))(\( ( 1 - 336 T^{2} + 44064 T^{4} - 2661456 T^{6} + 62742241 T^{8} )^{2} \))(\( ( 1 - 304 T^{2} + 38848 T^{4} - 2407984 T^{6} + 62742241 T^{8} )^{2} \))(\( ( 1 - 348 T^{2} + 68394 T^{4} - 8989680 T^{6} + 909791603 T^{8} - 71207255280 T^{10} + 4291192830954 T^{12} - 172949489254428 T^{14} + 3936588805702081 T^{16} )^{2} \))(\( ( 1 - 416 T^{2} + 95264 T^{4} - 14098336 T^{6} + 1485215170 T^{8} - 111672919456 T^{10} + 5977076846624 T^{12} - 206744217039776 T^{14} + 3936588805702081 T^{16} )^{2} \))
$97$ (\( 1 + 6 T + 97 T^{2} \))(\( 1 - 6 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 + 12 T + 97 T^{2} \))(\( 1 - 10 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 - 12 T + 97 T^{2} \))(\( 1 + 10 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 + 2 T + 97 T^{2} \))(\( 1 - 10 T + 97 T^{2} \))(\( 1 + 8 T + 97 T^{2} \))(\( 1 + 18 T + 97 T^{2} \))(\( 1 + 97 T^{2} \))(\( 1 + 97 T^{2} \))(\( 1 - 6 T + 97 T^{2} \))(\( 1 - 6 T + 97 T^{2} \))(\( 1 - 8 T + 97 T^{2} \))(\( 1 + 10 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 + 2 T + 97 T^{2} \))(\( 1 - 10 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 + 12 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 - 10 T + 97 T^{2} \))(\( 1 - 12 T + 97 T^{2} \))(\( 1 + 6 T + 97 T^{2} \))(\( 1 - 6 T + 97 T^{2} \))(\( 1 + 8 T + 202 T^{2} + 776 T^{3} + 9409 T^{4} \))(\( 1 - 8 T + 202 T^{2} - 776 T^{3} + 9409 T^{4} \))(\( 1 + 16 T + 238 T^{2} + 1552 T^{3} + 9409 T^{4} \))(\( ( 1 - 8 T + 97 T^{2} )^{2} \))(\( ( 1 - 12 T + 97 T^{2} )^{2} \))(\( 1 + 144 T^{2} + 9409 T^{4} \))(\( 1 - 144 T^{2} + 9409 T^{4} \))(\( 1 + 32 T^{2} + 9409 T^{4} \))(\( 1 - 144 T^{2} + 9409 T^{4} \))(\( 1 + 96 T^{2} + 9409 T^{4} \))(\( 1 + 96 T^{2} + 9409 T^{4} \))(\( 1 - 144 T^{2} + 9409 T^{4} \))(\( 1 + 32 T^{2} + 9409 T^{4} \))(\( 1 + 162 T^{2} + 9409 T^{4} \))(\( 1 + 192 T^{2} + 9409 T^{4} \))(\( 1 + 192 T^{2} + 9409 T^{4} \))(\( 1 + 162 T^{2} + 9409 T^{4} \))(\( ( 1 + 12 T + 97 T^{2} )^{2} \))(\( ( 1 + 8 T + 97 T^{2} )^{2} \))(\( 1 + 8 T + 202 T^{2} + 776 T^{3} + 9409 T^{4} \))(\( 1 - 8 T + 202 T^{2} - 776 T^{3} + 9409 T^{4} \))(\( 1 + 16 T + 238 T^{2} + 1552 T^{3} + 9409 T^{4} \))(\( ( 1 + 176 T^{2} + 9409 T^{4} )^{2} \))(\( ( 1 + 2 T + 97 T^{2} )^{2} \))(\( ( 1 + 10 T + 97 T^{2} )^{2} \))(\( ( 1 + 2 T + 97 T^{2} )^{2} \))(\( ( 1 - 94 T^{2} + 9409 T^{4} )^{2} \))(\( ( 1 + 24 T + 288 T^{2} + 2328 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 - 24 T + 288 T^{2} - 2328 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 + 4 T + 150 T^{2} + 388 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 + 4 T + 150 T^{2} + 388 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 + 8 T + 97 T^{2} )^{4} \))(\( ( 1 - 8 T + 97 T^{2} )^{4} \))(\( ( 1 - 94 T^{2} + 9409 T^{4} )^{4} \))(\( ( 1 + 28 T + 467 T^{2} + 5164 T^{3} + 45299 T^{4} + 263452 T^{5} + 912673 T^{6} )^{4} \))(\( ( 1 - 28 T + 467 T^{2} - 5164 T^{3} + 45299 T^{4} - 263452 T^{5} + 912673 T^{6} )^{4} \))(\( ( 1 + 192 T^{2} + 9409 T^{4} )^{8} \))(\( ( 1 - 182 T^{2} + 9409 T^{4} )^{4} \))(\( ( 1 - 96 T^{2} - 96 T^{4} - 903264 T^{6} + 88529281 T^{8} )^{2} \))(\( ( 1 - 96 T^{2} - 96 T^{4} - 903264 T^{6} + 88529281 T^{8} )^{2} \))(\( ( 1 - 42 T^{2} + 13839 T^{4} - 885404 T^{6} + 130211151 T^{8} - 3718229802 T^{10} + 832972004929 T^{12} )^{2} \))(\( ( 1 - 42 T^{2} + 13839 T^{4} - 885404 T^{6} + 130211151 T^{8} - 3718229802 T^{10} + 832972004929 T^{12} )^{2} \))(\( 1 - 146 T^{2} + 9409 T^{4} \))(\( 1 - 146 T^{2} + 9409 T^{4} \))(\( 1 - 18720 T^{4} + 88529281 T^{8} \))(\( 1 + 18720 T^{4} + 88529281 T^{8} \))(\( ( 1 + 106 T^{2} + 9409 T^{4} )^{2} \))(\( ( 1 - 182 T^{2} + 9409 T^{4} )^{2} \))(\( ( 1 - 336 T^{2} + 46944 T^{4} - 3161424 T^{6} + 88529281 T^{8} )^{2} \))(\( ( 1 - 288 T^{2} + 37632 T^{4} - 2709792 T^{6} + 88529281 T^{8} )^{2} \))(\( ( 1 - 288 T^{2} + 38304 T^{4} - 2709792 T^{6} + 88529281 T^{8} )^{2} \))(\( ( 1 - 304 T^{2} + 67644 T^{4} - 9727184 T^{6} + 1110022022 T^{8} - 91523074256 T^{10} + 5988474683964 T^{12} - 253223489498416 T^{14} + 7837433594376961 T^{16} )^{2} \))(\( ( 1 - 624 T^{2} + 180800 T^{4} - 31908976 T^{6} + 3750004482 T^{8} - 300231555184 T^{10} + 16006094004800 T^{12} - 519774531075696 T^{14} + 7837433594376961 T^{16} )^{2} \))
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