Properties

Label 768.2
Level 768
Weight 2
Dimension 6808
Nonzero newspaces 12
Newform subspaces 59
Sturm bound 65536
Trace bound 49

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Defining parameters

Level: \( N \) = \( 768\( 768 = 2^{8} \cdot 3 \) \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 12 \)
Newform subspaces: \( 59 \)
Sturm bound: \(65536\)
Trace bound: \(49\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(768))\).

Total New Old
Modular forms 17088 7016 10072
Cusp forms 15681 6808 8873
Eisenstein series 1407 208 1199

Trace form

\( 6808q - 24q^{3} - 64q^{4} - 32q^{6} - 48q^{7} - 40q^{9} + O(q^{10}) \) \( 6808q - 24q^{3} - 64q^{4} - 32q^{6} - 48q^{7} - 40q^{9} - 64q^{10} - 32q^{12} - 64q^{13} - 24q^{15} - 64q^{16} - 32q^{18} - 48q^{19} - 32q^{21} - 64q^{22} - 32q^{24} - 80q^{25} - 24q^{27} - 64q^{28} - 32q^{30} - 32q^{31} - 56q^{33} - 64q^{34} - 32q^{36} - 64q^{37} - 24q^{39} - 64q^{40} - 32q^{42} - 48q^{43} - 32q^{45} - 64q^{46} - 32q^{48} - 40q^{49} + 8q^{51} - 64q^{52} + 64q^{53} - 32q^{54} + 80q^{55} + 24q^{57} - 64q^{58} + 128q^{59} - 32q^{60} + 64q^{61} - 64q^{64} + 128q^{65} - 32q^{66} + 112q^{67} + 32q^{69} - 64q^{70} + 128q^{71} - 32q^{72} + 48q^{73} + 40q^{75} - 64q^{76} + 64q^{77} - 32q^{78} + 16q^{79} - 48q^{81} - 64q^{82} - 32q^{84} + 16q^{85} - 24q^{87} - 64q^{88} - 32q^{90} - 48q^{91} - 80q^{93} - 64q^{94} - 32q^{96} - 112q^{97} - 24q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(768))\)

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
768.2.a \(\chi_{768}(1, \cdot)\) 768.2.a.a 1 1
768.2.a.b 1
768.2.a.c 1
768.2.a.d 1
768.2.a.e 1
768.2.a.f 1
768.2.a.g 1
768.2.a.h 1
768.2.a.i 2
768.2.a.j 2
768.2.a.k 2
768.2.a.l 2
768.2.c \(\chi_{768}(767, \cdot)\) 768.2.c.a 2 1
768.2.c.b 2
768.2.c.c 2
768.2.c.d 2
768.2.c.e 2
768.2.c.f 2
768.2.c.g 4
768.2.c.h 4
768.2.c.i 4
768.2.c.j 4
768.2.d \(\chi_{768}(385, \cdot)\) 768.2.d.a 2 1
768.2.d.b 2
768.2.d.c 2
768.2.d.d 2
768.2.d.e 2
768.2.d.f 2
768.2.d.g 2
768.2.d.h 2
768.2.f \(\chi_{768}(383, \cdot)\) 768.2.f.a 4 1
768.2.f.b 4
768.2.f.c 4
768.2.f.d 4
768.2.f.e 4
768.2.f.f 4
768.2.f.g 4
768.2.j \(\chi_{768}(193, \cdot)\) 768.2.j.a 4 2
768.2.j.b 4
768.2.j.c 4
768.2.j.d 4
768.2.j.e 8
768.2.j.f 8
768.2.k \(\chi_{768}(191, \cdot)\) 768.2.k.a 4 2
768.2.k.b 4
768.2.k.c 4
768.2.k.d 4
768.2.k.e 8
768.2.k.f 8
768.2.k.g 16
768.2.k.h 16
768.2.n \(\chi_{768}(97, \cdot)\) 768.2.n.a 32 4
768.2.n.b 32
768.2.o \(\chi_{768}(95, \cdot)\) 768.2.o.a 56 4
768.2.o.b 56
768.2.r \(\chi_{768}(49, \cdot)\) 768.2.r.a 128 8
768.2.s \(\chi_{768}(47, \cdot)\) 768.2.s.a 240 8
768.2.v \(\chi_{768}(25, \cdot)\) None 0 16
768.2.w \(\chi_{768}(23, \cdot)\) None 0 16
768.2.z \(\chi_{768}(13, \cdot)\) 768.2.z.a 2048 32
768.2.ba \(\chi_{768}(11, \cdot)\) 768.2.ba.a 4032 32

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(768))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(768)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(16))\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(24))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(32))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(48))\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(64))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(96))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(128))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(192))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(256))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(384))\)\(^{\oplus 2}\)

Hecke characteristic polynomials

$p$ $F_p(T)$
$2$ 1
$3$ (\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( 1 + 2 T + 3 T^{2} \))(\( 1 + 2 T + 3 T^{2} \))(\( 1 + 2 T + 3 T^{2} \))(\( 1 - 2 T + 3 T^{2} \))(\( 1 - 2 T + 3 T^{2} \))(\( 1 - 2 T + 3 T^{2} \))(\( ( 1 + 3 T^{2} )^{2} \))(\( 1 - 2 T^{2} + 9 T^{4} \))(\( ( 1 - 3 T^{2} )^{2} \))(\( ( 1 - 3 T^{2} )^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( ( 1 + 2 T + 3 T^{2} )^{2} \))(\( 1 + 2 T + 2 T^{2} + 6 T^{3} + 9 T^{4} \))(\( 1 + 2 T + 2 T^{2} + 6 T^{3} + 9 T^{4} \))(\( ( 1 - 3 T^{2} )^{2} \))(\( 1 - 2 T + 2 T^{2} - 6 T^{3} + 9 T^{4} \))(\( 1 - 2 T + 2 T^{2} - 6 T^{3} + 9 T^{4} \))(\( ( 1 - 2 T + 3 T^{2} )^{2} \))(\( 1 + T^{4} \))(\( 1 + T^{4} \))(\( 1 + T^{4} \))(\( 1 + T^{4} \))(\( ( 1 + T^{4} )^{2} \))(\( ( 1 + T^{4} )^{2} \))(\( 1 + 4 T + 8 T^{2} + 12 T^{3} + 9 T^{4} \))(\( 1 + 4 T + 8 T^{2} + 12 T^{3} + 9 T^{4} \))(\( 1 - 4 T + 8 T^{2} - 12 T^{3} + 9 T^{4} \))(\( 1 - 4 T + 8 T^{2} - 12 T^{3} + 9 T^{4} \))(\( ( 1 + 9 T^{4} )^{2} \))(\( ( 1 + 9 T^{4} )^{2} \))(\( 1 - 4 T^{4} - 26 T^{8} - 324 T^{12} + 6561 T^{16} \))(\( 1 - 4 T^{4} - 26 T^{8} - 324 T^{12} + 6561 T^{16} \))
$5$ (\( 1 + 2 T + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 - 2 T + 5 T^{2} \))(\( 1 + 2 T + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 - 2 T + 5 T^{2} \))(\( 1 + 2 T^{2} + 25 T^{4} \))(\( 1 - 2 T^{2} + 25 T^{4} \))(\( 1 - 2 T^{2} + 25 T^{4} \))(\( 1 + 2 T^{2} + 25 T^{4} \))(\( 1 - 2 T^{2} + 25 T^{4} \))(\( 1 - 2 T^{2} + 25 T^{4} \))(\( ( 1 - 5 T^{2} )^{2} \))(\( ( 1 - 5 T^{2} )^{2} \))(\( 1 - 2 T^{2} + 25 T^{4} \))(\( 1 - 2 T^{2} + 25 T^{4} \))(\( ( 1 - 5 T^{2} )^{4} \))(\( ( 1 - 5 T^{2} )^{4} \))(\( ( 1 + 2 T^{2} + 25 T^{4} )^{2} \))(\( ( 1 - 2 T^{2} + 25 T^{4} )^{2} \))(\( ( 1 - 4 T + 5 T^{2} )( 1 + 4 T + 5 T^{2} ) \))(\( ( 1 - 5 T^{2} )^{2} \))(\( ( 1 - 2 T + 5 T^{2} )( 1 + 2 T + 5 T^{2} ) \))(\( ( 1 - 4 T + 5 T^{2} )( 1 + 4 T + 5 T^{2} ) \))(\( ( 1 - 4 T + 5 T^{2} )( 1 + 4 T + 5 T^{2} ) \))(\( ( 1 - 2 T + 5 T^{2} )( 1 + 2 T + 5 T^{2} ) \))(\( ( 1 - 5 T^{2} )^{2} \))(\( ( 1 - 4 T + 5 T^{2} )( 1 + 4 T + 5 T^{2} ) \))(\( ( 1 + 2 T^{2} + 25 T^{4} )^{2} \))(\( ( 1 + 2 T + 6 T^{2} + 10 T^{3} + 25 T^{4} )^{2} \))(\( ( 1 - 2 T + 6 T^{2} - 10 T^{3} + 25 T^{4} )^{2} \))(\( ( 1 + 5 T^{2} )^{4} \))(\( ( 1 + 2 T + 6 T^{2} + 10 T^{3} + 25 T^{4} )^{2} \))(\( ( 1 - 2 T + 6 T^{2} - 10 T^{3} + 25 T^{4} )^{2} \))(\( ( 1 + 2 T^{2} + 25 T^{4} )^{2} \))(\( ( 1 + 4 T + 8 T^{2} + 20 T^{3} + 25 T^{4} )^{2} \))(\( ( 1 + 25 T^{4} )^{2} \))(\( ( 1 + 25 T^{4} )^{2} \))(\( ( 1 - 4 T + 8 T^{2} - 20 T^{3} + 25 T^{4} )^{2} \))(\( ( 1 + 4 T + 8 T^{2} + 4 T^{3} - 14 T^{4} + 20 T^{5} + 200 T^{6} + 500 T^{7} + 625 T^{8} )^{2} \))(\( ( 1 - 4 T + 8 T^{2} - 4 T^{3} - 14 T^{4} - 20 T^{5} + 200 T^{6} - 500 T^{7} + 625 T^{8} )^{2} \))(\( ( 1 - 8 T^{2} + 25 T^{4} )( 1 + 8 T^{2} + 25 T^{4} ) \))(\( ( 1 - 8 T^{2} + 25 T^{4} )( 1 + 8 T^{2} + 25 T^{4} ) \))(\( ( 1 - 8 T^{2} + 25 T^{4} )( 1 + 8 T^{2} + 25 T^{4} ) \))(\( ( 1 - 8 T^{2} + 25 T^{4} )( 1 + 8 T^{2} + 25 T^{4} ) \))(\( ( 1 + 25 T^{4} )^{4} \))(\( ( 1 + 25 T^{4} )^{4} \))(\( ( 1 - 2 T^{4} + 625 T^{8} )^{4} \))(\( ( 1 - 2 T^{4} + 625 T^{8} )^{4} \))
$7$ (\( 1 - 2 T + 7 T^{2} \))(\( 1 + 4 T + 7 T^{2} \))(\( 1 - 4 T + 7 T^{2} \))(\( 1 + 2 T + 7 T^{2} \))(\( 1 + 2 T + 7 T^{2} \))(\( 1 + 4 T + 7 T^{2} \))(\( 1 - 4 T + 7 T^{2} \))(\( 1 - 2 T + 7 T^{2} \))(\( 1 + 6 T^{2} + 49 T^{4} \))(\( 1 + 2 T^{2} + 49 T^{4} \))(\( 1 + 2 T^{2} + 49 T^{4} \))(\( 1 + 6 T^{2} + 49 T^{4} \))(\( 1 - 6 T^{2} + 49 T^{4} \))(\( 1 - 6 T^{2} + 49 T^{4} \))(\( ( 1 - 7 T^{2} )^{2} \))(\( ( 1 - 7 T^{2} )^{2} \))(\( 1 - 6 T^{2} + 49 T^{4} \))(\( 1 - 6 T^{2} + 49 T^{4} \))(\( ( 1 + 2 T^{2} + 49 T^{4} )^{2} \))(\( ( 1 - 7 T^{2} )^{4} \))(\( ( 1 - 10 T^{2} + 49 T^{4} )^{2} \))(\( ( 1 - 2 T + 7 T^{2} )^{2}( 1 + 2 T + 7 T^{2} )^{2} \))(\( ( 1 + 4 T + 7 T^{2} )^{2} \))(\( ( 1 + 2 T + 7 T^{2} )^{2} \))(\( ( 1 + 2 T + 7 T^{2} )^{2} \))(\( ( 1 + 7 T^{2} )^{2} \))(\( ( 1 + 7 T^{2} )^{2} \))(\( ( 1 - 2 T + 7 T^{2} )^{2} \))(\( ( 1 - 2 T + 7 T^{2} )^{2} \))(\( ( 1 - 4 T + 7 T^{2} )^{2} \))(\( ( 1 - 10 T^{2} + 49 T^{4} )^{2} \))(\( 1 - 16 T^{2} + 142 T^{4} - 784 T^{6} + 2401 T^{8} \))(\( 1 - 16 T^{2} + 142 T^{4} - 784 T^{6} + 2401 T^{8} \))(\( ( 1 - 4 T + 7 T^{2} )^{2}( 1 + 4 T + 7 T^{2} )^{2} \))(\( 1 - 16 T^{2} + 142 T^{4} - 784 T^{6} + 2401 T^{8} \))(\( 1 - 16 T^{2} + 142 T^{4} - 784 T^{6} + 2401 T^{8} \))(\( ( 1 - 10 T^{2} + 49 T^{4} )^{2} \))(\( ( 1 + 4 T^{2} + 49 T^{4} )^{2} \))(\( ( 1 - 12 T^{2} + 49 T^{4} )^{2} \))(\( ( 1 - 12 T^{2} + 49 T^{4} )^{2} \))(\( ( 1 + 4 T^{2} + 49 T^{4} )^{2} \))(\( ( 1 - 8 T^{2} + 49 T^{4} )^{4} \))(\( ( 1 - 8 T^{2} + 49 T^{4} )^{4} \))(\( ( 1 + 12 T^{2} + 49 T^{4} )^{2} \))(\( ( 1 + 12 T^{2} + 49 T^{4} )^{2} \))(\( ( 1 + 12 T^{2} + 49 T^{4} )^{2} \))(\( ( 1 + 12 T^{2} + 49 T^{4} )^{2} \))(\( ( 1 - 94 T^{4} + 2401 T^{8} )^{2} \))(\( ( 1 - 94 T^{4} + 2401 T^{8} )^{2} \))(\( ( 1 + 6 T^{2} + 49 T^{4} )^{8} \))(\( ( 1 + 6 T^{2} + 49 T^{4} )^{8} \))
$11$ (\( 1 + 11 T^{2} \))(\( 1 - 4 T + 11 T^{2} \))(\( 1 - 4 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( ( 1 + 4 T + 11 T^{2} )^{2} \))(\( ( 1 + 11 T^{2} )^{2} \))(\( ( 1 + 11 T^{2} )^{2} \))(\( ( 1 - 4 T + 11 T^{2} )^{2} \))(\( ( 1 + 2 T + 11 T^{2} )^{2} \))(\( ( 1 + 2 T + 11 T^{2} )^{2} \))(\( ( 1 - 6 T + 11 T^{2} )^{2} \))(\( ( 1 + 6 T + 11 T^{2} )^{2} \))(\( ( 1 - 2 T + 11 T^{2} )^{2} \))(\( ( 1 - 2 T + 11 T^{2} )^{2} \))(\( ( 1 + 11 T^{2} )^{4} \))(\( ( 1 + 14 T^{2} + 121 T^{4} )^{2} \))(\( ( 1 + 10 T^{2} + 121 T^{4} )^{2} \))(\( ( 1 + 10 T^{2} + 121 T^{4} )^{2} \))(\( 1 - 6 T^{2} + 121 T^{4} \))(\( 1 - 6 T^{2} + 121 T^{4} \))(\( 1 - 6 T^{2} + 121 T^{4} \))(\( 1 - 6 T^{2} + 121 T^{4} \))(\( 1 - 6 T^{2} + 121 T^{4} \))(\( 1 - 6 T^{2} + 121 T^{4} \))(\( 1 - 6 T^{2} + 121 T^{4} \))(\( 1 - 6 T^{2} + 121 T^{4} \))(\( ( 1 - 6 T + 11 T^{2} )^{2}( 1 + 6 T + 11 T^{2} )^{2} \))(\( 1 - 16 T^{2} + 126 T^{4} - 1936 T^{6} + 14641 T^{8} \))(\( 1 - 16 T^{2} + 126 T^{4} - 1936 T^{6} + 14641 T^{8} \))(\( ( 1 - 11 T^{2} )^{4} \))(\( 1 - 16 T^{2} + 126 T^{4} - 1936 T^{6} + 14641 T^{8} \))(\( 1 - 16 T^{2} + 126 T^{4} - 1936 T^{6} + 14641 T^{8} \))(\( ( 1 - 6 T + 11 T^{2} )^{2}( 1 + 6 T + 11 T^{2} )^{2} \))(\( 1 - 206 T^{4} + 14641 T^{8} \))(\( ( 1 + 121 T^{4} )^{2} \))(\( ( 1 + 121 T^{4} )^{2} \))(\( 1 - 206 T^{4} + 14641 T^{8} \))(\( 1 - 28 T^{4} + 1830 T^{8} - 409948 T^{12} + 214358881 T^{16} \))(\( 1 - 28 T^{4} + 1830 T^{8} - 409948 T^{12} + 214358881 T^{16} \))(\( ( 1 + 8 T + 32 T^{2} + 88 T^{3} + 121 T^{4} )^{2} \))(\( ( 1 + 8 T + 32 T^{2} + 88 T^{3} + 121 T^{4} )^{2} \))(\( ( 1 - 8 T + 32 T^{2} - 88 T^{3} + 121 T^{4} )^{2} \))(\( ( 1 - 8 T + 32 T^{2} - 88 T^{3} + 121 T^{4} )^{2} \))(\( ( 1 + 121 T^{4} )^{4} \))(\( ( 1 + 121 T^{4} )^{4} \))(\( ( 1 - 68 T^{4} + 21030 T^{8} - 995588 T^{12} + 214358881 T^{16} )^{2} \))(\( ( 1 - 68 T^{4} + 21030 T^{8} - 995588 T^{12} + 214358881 T^{16} )^{2} \))
$13$ (\( 1 + 4 T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 - 6 T^{2} + 169 T^{4} \))(\( ( 1 + 13 T^{2} )^{2} \))(\( ( 1 + 13 T^{2} )^{2} \))(\( 1 - 6 T^{2} + 169 T^{4} \))(\( ( 1 + 4 T + 13 T^{2} )^{2} \))(\( ( 1 - 4 T + 13 T^{2} )^{2} \))(\( ( 1 + 13 T^{2} )^{2} \))(\( ( 1 + 13 T^{2} )^{2} \))(\( ( 1 + 4 T + 13 T^{2} )^{2} \))(\( ( 1 - 4 T + 13 T^{2} )^{2} \))(\( ( 1 - 22 T^{2} + 169 T^{4} )^{2} \))(\( ( 1 + 13 T^{2} )^{4} \))(\( ( 1 + 13 T^{2} )^{4} \))(\( ( 1 + 13 T^{2} )^{4} \))(\( 1 - 22 T^{2} + 169 T^{4} \))(\( ( 1 - 4 T + 13 T^{2} )( 1 + 4 T + 13 T^{2} ) \))(\( 1 - 22 T^{2} + 169 T^{4} \))(\( 1 - 22 T^{2} + 169 T^{4} \))(\( 1 - 22 T^{2} + 169 T^{4} \))(\( 1 - 22 T^{2} + 169 T^{4} \))(\( ( 1 - 4 T + 13 T^{2} )( 1 + 4 T + 13 T^{2} ) \))(\( 1 - 22 T^{2} + 169 T^{4} \))(\( ( 1 - 22 T^{2} + 169 T^{4} )^{2} \))(\( ( 1 - 6 T^{2} + 169 T^{4} )^{2} \))(\( ( 1 - 6 T^{2} + 169 T^{4} )^{2} \))(\( ( 1 - 22 T^{2} + 169 T^{4} )^{2} \))(\( ( 1 - 6 T^{2} + 169 T^{4} )^{2} \))(\( ( 1 - 6 T^{2} + 169 T^{4} )^{2} \))(\( ( 1 - 22 T^{2} + 169 T^{4} )^{2} \))(\( ( 1 + 6 T + 18 T^{2} + 78 T^{3} + 169 T^{4} )^{2} \))(\( ( 1 - 4 T + 13 T^{2} )^{2}( 1 + 6 T + 13 T^{2} )^{2} \))(\( ( 1 - 6 T + 13 T^{2} )^{2}( 1 + 4 T + 13 T^{2} )^{2} \))(\( ( 1 - 6 T + 18 T^{2} - 78 T^{3} + 169 T^{4} )^{2} \))(\( ( 1 + 6 T + 18 T^{2} + 78 T^{3} + 169 T^{4} )^{4} \))(\( ( 1 - 6 T + 18 T^{2} - 78 T^{3} + 169 T^{4} )^{4} \))(\( ( 1 + 6 T + 18 T^{2} + 78 T^{3} + 169 T^{4} )^{2} \))(\( ( 1 - 6 T + 18 T^{2} - 78 T^{3} + 169 T^{4} )^{2} \))(\( ( 1 + 6 T + 18 T^{2} + 78 T^{3} + 169 T^{4} )^{2} \))(\( ( 1 - 6 T + 18 T^{2} - 78 T^{3} + 169 T^{4} )^{2} \))(\( ( 1 + 2 T + 13 T^{2} )^{4}( 1 - 22 T^{2} + 169 T^{4} )^{2} \))(\( ( 1 - 2 T + 13 T^{2} )^{4}( 1 - 22 T^{2} + 169 T^{4} )^{2} \))(\( ( 1 + 62 T^{4} + 28561 T^{8} )^{4} \))(\( ( 1 + 62 T^{4} + 28561 T^{8} )^{4} \))
$17$ (\( 1 + 2 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( ( 1 + 2 T + 17 T^{2} )^{2} \))(\( ( 1 - 6 T + 17 T^{2} )^{2} \))(\( ( 1 - 6 T + 17 T^{2} )^{2} \))(\( ( 1 + 2 T + 17 T^{2} )^{2} \))(\( ( 1 - 6 T + 17 T^{2} )( 1 + 6 T + 17 T^{2} ) \))(\( ( 1 - 6 T + 17 T^{2} )( 1 + 6 T + 17 T^{2} ) \))(\( ( 1 - 6 T + 17 T^{2} )( 1 + 6 T + 17 T^{2} ) \))(\( ( 1 - 6 T + 17 T^{2} )( 1 + 6 T + 17 T^{2} ) \))(\( ( 1 - 6 T + 17 T^{2} )( 1 + 6 T + 17 T^{2} ) \))(\( ( 1 - 6 T + 17 T^{2} )( 1 + 6 T + 17 T^{2} ) \))(\( ( 1 - 17 T^{2} )^{4} \))(\( ( 1 - 6 T + 17 T^{2} )^{2}( 1 + 6 T + 17 T^{2} )^{2} \))(\( ( 1 - 17 T^{2} )^{4} \))(\( ( 1 - 17 T^{2} )^{4} \))(\( ( 1 + 6 T + 17 T^{2} )^{2} \))(\( ( 1 - 6 T + 17 T^{2} )^{2} \))(\( ( 1 + 2 T + 17 T^{2} )^{2} \))(\( ( 1 - 2 T + 17 T^{2} )^{2} \))(\( ( 1 - 2 T + 17 T^{2} )^{2} \))(\( ( 1 + 2 T + 17 T^{2} )^{2} \))(\( ( 1 - 6 T + 17 T^{2} )^{2} \))(\( ( 1 + 6 T + 17 T^{2} )^{2} \))(\( ( 1 - 17 T^{2} )^{4} \))(\( 1 - 20 T^{2} + 358 T^{4} - 5780 T^{6} + 83521 T^{8} \))(\( 1 - 20 T^{2} + 358 T^{4} - 5780 T^{6} + 83521 T^{8} \))(\( ( 1 - 17 T^{2} )^{4} \))(\( 1 - 20 T^{2} + 358 T^{4} - 5780 T^{6} + 83521 T^{8} \))(\( 1 - 20 T^{2} + 358 T^{4} - 5780 T^{6} + 83521 T^{8} \))(\( ( 1 - 17 T^{2} )^{4} \))(\( ( 1 + 6 T + 17 T^{2} )^{4} \))(\( ( 1 - 6 T + 17 T^{2} )^{4} \))(\( ( 1 - 6 T + 17 T^{2} )^{4} \))(\( ( 1 + 6 T + 17 T^{2} )^{4} \))(\( ( 1 + 22 T^{2} + 289 T^{4} )^{4} \))(\( ( 1 + 22 T^{2} + 289 T^{4} )^{4} \))(\( ( 1 - 26 T^{2} + 289 T^{4} )^{2} \))(\( ( 1 - 26 T^{2} + 289 T^{4} )^{2} \))(\( ( 1 - 26 T^{2} + 289 T^{4} )^{2} \))(\( ( 1 - 26 T^{2} + 289 T^{4} )^{2} \))(\( ( 1 - 17 T^{2} )^{8} \))(\( ( 1 - 17 T^{2} )^{8} \))(\( ( 1 - 4 T^{2} + 390 T^{4} - 1156 T^{6} + 83521 T^{8} )^{4} \))(\( ( 1 - 4 T^{2} + 390 T^{4} - 1156 T^{6} + 83521 T^{8} )^{4} \))
$19$ (\( 1 - 4 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( ( 1 + 4 T + 19 T^{2} )^{2} \))(\( ( 1 + 4 T + 19 T^{2} )^{2} \))(\( ( 1 - 4 T + 19 T^{2} )^{2} \))(\( ( 1 - 4 T + 19 T^{2} )^{2} \))(\( 1 - 30 T^{2} + 361 T^{4} \))(\( 1 - 30 T^{2} + 361 T^{4} \))(\( ( 1 - 2 T + 19 T^{2} )( 1 + 2 T + 19 T^{2} ) \))(\( ( 1 - 2 T + 19 T^{2} )( 1 + 2 T + 19 T^{2} ) \))(\( 1 - 30 T^{2} + 361 T^{4} \))(\( 1 - 30 T^{2} + 361 T^{4} \))(\( ( 1 - 8 T + 19 T^{2} )^{2}( 1 + 8 T + 19 T^{2} )^{2} \))(\( ( 1 - 34 T^{2} + 361 T^{4} )^{2} \))(\( ( 1 - 19 T^{2} )^{4} \))(\( ( 1 - 19 T^{2} )^{4} \))(\( 1 - 22 T^{2} + 361 T^{4} \))(\( ( 1 - 19 T^{2} )^{2} \))(\( 1 + 26 T^{2} + 361 T^{4} \))(\( 1 - 22 T^{2} + 361 T^{4} \))(\( 1 - 22 T^{2} + 361 T^{4} \))(\( 1 + 26 T^{2} + 361 T^{4} \))(\( ( 1 - 19 T^{2} )^{2} \))(\( 1 - 22 T^{2} + 361 T^{4} \))(\( ( 1 - 6 T + 19 T^{2} )^{4} \))(\( ( 1 - 6 T + 42 T^{2} - 114 T^{3} + 361 T^{4} )^{2} \))(\( ( 1 - 6 T + 42 T^{2} - 114 T^{3} + 361 T^{4} )^{2} \))(\( ( 1 + 26 T^{2} + 361 T^{4} )^{2} \))(\( ( 1 + 6 T + 42 T^{2} + 114 T^{3} + 361 T^{4} )^{2} \))(\( ( 1 + 6 T + 42 T^{2} + 114 T^{3} + 361 T^{4} )^{2} \))(\( ( 1 + 6 T + 19 T^{2} )^{4} \))(\( ( 1 - 12 T + 72 T^{2} - 228 T^{3} + 361 T^{4} )( 1 + 12 T + 72 T^{2} + 228 T^{3} + 361 T^{4} ) \))(\( 1 - 718 T^{4} + 130321 T^{8} \))(\( 1 - 718 T^{4} + 130321 T^{8} \))(\( ( 1 - 12 T + 72 T^{2} - 228 T^{3} + 361 T^{4} )( 1 + 12 T + 72 T^{2} + 228 T^{3} + 361 T^{4} ) \))(\( 1 + 292 T^{4} - 25242 T^{8} + 38053732 T^{12} + 16983563041 T^{16} \))(\( 1 + 292 T^{4} - 25242 T^{8} + 38053732 T^{12} + 16983563041 T^{16} \))(\( 1 - 238 T^{4} + 130321 T^{8} \))(\( 1 - 238 T^{4} + 130321 T^{8} \))(\( 1 - 238 T^{4} + 130321 T^{8} \))(\( 1 - 238 T^{4} + 130321 T^{8} \))(\( ( 1 - 46 T^{4} + 130321 T^{8} )^{2} \))(\( ( 1 - 46 T^{4} + 130321 T^{8} )^{2} \))(\( ( 1 + 892 T^{4} + 404070 T^{8} + 116246332 T^{12} + 16983563041 T^{16} )^{2} \))(\( ( 1 + 892 T^{4} + 404070 T^{8} + 116246332 T^{12} + 16983563041 T^{16} )^{2} \))
$23$ (\( 1 + 4 T + 23 T^{2} \))(\( 1 + 8 T + 23 T^{2} \))(\( 1 - 8 T + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 + 8 T + 23 T^{2} \))(\( 1 - 8 T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 + 14 T^{2} + 529 T^{4} \))(\( 1 - 2 T^{2} + 529 T^{4} \))(\( 1 - 2 T^{2} + 529 T^{4} \))(\( 1 + 14 T^{2} + 529 T^{4} \))(\( ( 1 + 8 T + 23 T^{2} )^{2} \))(\( ( 1 - 8 T + 23 T^{2} )^{2} \))(\( ( 1 + 23 T^{2} )^{2} \))(\( ( 1 + 23 T^{2} )^{2} \))(\( ( 1 - 8 T + 23 T^{2} )^{2} \))(\( ( 1 + 8 T + 23 T^{2} )^{2} \))(\( ( 1 + 23 T^{2} )^{4} \))(\( ( 1 + 23 T^{2} )^{4} \))(\( ( 1 + 23 T^{2} )^{4} \))(\( ( 1 + 23 T^{2} )^{4} \))(\( ( 1 + 23 T^{2} )^{2} \))(\( ( 1 + 4 T + 23 T^{2} )^{2} \))(\( ( 1 + 4 T + 23 T^{2} )^{2} \))(\( ( 1 + 8 T + 23 T^{2} )^{2} \))(\( ( 1 - 8 T + 23 T^{2} )^{2} \))(\( ( 1 - 4 T + 23 T^{2} )^{2} \))(\( ( 1 - 4 T + 23 T^{2} )^{2} \))(\( ( 1 + 23 T^{2} )^{2} \))(\( ( 1 + 14 T^{2} + 529 T^{4} )^{2} \))(\( ( 1 - 4 T + 30 T^{2} - 92 T^{3} + 529 T^{4} )^{2} \))(\( ( 1 + 4 T + 30 T^{2} + 92 T^{3} + 529 T^{4} )^{2} \))(\( ( 1 + 23 T^{2} )^{4} \))(\( ( 1 + 4 T + 30 T^{2} + 92 T^{3} + 529 T^{4} )^{2} \))(\( ( 1 - 4 T + 30 T^{2} - 92 T^{3} + 529 T^{4} )^{2} \))(\( ( 1 + 14 T^{2} + 529 T^{4} )^{2} \))(\( ( 1 - 38 T^{2} + 529 T^{4} )^{2} \))(\( ( 1 + 26 T^{2} + 529 T^{4} )^{2} \))(\( ( 1 + 26 T^{2} + 529 T^{4} )^{2} \))(\( ( 1 - 38 T^{2} + 529 T^{4} )^{2} \))(\( ( 1 - 38 T^{2} + 529 T^{4} )^{4} \))(\( ( 1 - 38 T^{2} + 529 T^{4} )^{4} \))(\( ( 1 - 23 T^{2} )^{4} \))(\( ( 1 - 23 T^{2} )^{4} \))(\( ( 1 - 23 T^{2} )^{4} \))(\( ( 1 - 23 T^{2} )^{4} \))(\( ( 1 - 23 T^{2} )^{8} \))(\( ( 1 - 23 T^{2} )^{8} \))(\( ( 1 + 4 T^{2} + 630 T^{4} + 2116 T^{6} + 279841 T^{8} )^{4} \))(\( ( 1 + 4 T^{2} + 630 T^{4} + 2116 T^{6} + 279841 T^{8} )^{4} \))
$29$ (\( 1 + 6 T + 29 T^{2} \))(\( 1 + 8 T + 29 T^{2} \))(\( 1 - 8 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 - 8 T + 29 T^{2} \))(\( 1 + 8 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 50 T^{2} + 841 T^{4} \))(\( 1 + 46 T^{2} + 841 T^{4} \))(\( 1 + 46 T^{2} + 841 T^{4} \))(\( 1 + 50 T^{2} + 841 T^{4} \))(\( 1 - 50 T^{2} + 841 T^{4} \))(\( 1 - 50 T^{2} + 841 T^{4} \))(\( ( 1 - 29 T^{2} )^{2} \))(\( ( 1 - 29 T^{2} )^{2} \))(\( 1 - 50 T^{2} + 841 T^{4} \))(\( 1 - 50 T^{2} + 841 T^{4} \))(\( ( 1 - 29 T^{2} )^{4} \))(\( ( 1 - 29 T^{2} )^{4} \))(\( ( 1 + 50 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 - 50 T^{2} + 841 T^{4} )^{2} \))(\( 1 - 54 T^{2} + 841 T^{4} \))(\( ( 1 - 10 T + 29 T^{2} )( 1 + 10 T + 29 T^{2} ) \))(\( ( 1 - 29 T^{2} )^{2} \))(\( 1 - 22 T^{2} + 841 T^{4} \))(\( 1 - 22 T^{2} + 841 T^{4} \))(\( ( 1 - 29 T^{2} )^{2} \))(\( ( 1 - 10 T + 29 T^{2} )( 1 + 10 T + 29 T^{2} ) \))(\( 1 - 54 T^{2} + 841 T^{4} \))(\( ( 1 + 50 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 - 14 T + 102 T^{2} - 406 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 + 14 T + 102 T^{2} + 406 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 + 29 T^{2} )^{4} \))(\( ( 1 - 14 T + 102 T^{2} - 406 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 + 14 T + 102 T^{2} + 406 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 + 50 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 + 8 T + 32 T^{2} + 232 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 + 12 T + 72 T^{2} + 348 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 - 12 T + 72 T^{2} - 348 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 - 8 T + 32 T^{2} - 232 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 - 4 T + 8 T^{2} + 92 T^{3} - 1646 T^{4} + 2668 T^{5} + 6728 T^{6} - 97556 T^{7} + 707281 T^{8} )^{2} \))(\( ( 1 + 4 T + 8 T^{2} - 92 T^{3} - 1646 T^{4} - 2668 T^{5} + 6728 T^{6} + 97556 T^{7} + 707281 T^{8} )^{2} \))(\( ( 1 - 40 T^{2} + 841 T^{4} )( 1 + 40 T^{2} + 841 T^{4} ) \))(\( ( 1 - 40 T^{2} + 841 T^{4} )( 1 + 40 T^{2} + 841 T^{4} ) \))(\( ( 1 - 40 T^{2} + 841 T^{4} )( 1 + 40 T^{2} + 841 T^{4} ) \))(\( ( 1 - 40 T^{2} + 841 T^{4} )( 1 + 40 T^{2} + 841 T^{4} ) \))(\( ( 1 + 841 T^{4} )^{4} \))(\( ( 1 + 841 T^{4} )^{4} \))(\( ( 1 + 1340 T^{4} + 1421094 T^{8} + 947756540 T^{12} + 500246412961 T^{16} )^{2} \))(\( ( 1 + 1340 T^{4} + 1421094 T^{8} + 947756540 T^{12} + 500246412961 T^{16} )^{2} \))
$31$ (\( 1 - 2 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 - 4 T + 31 T^{2} \))(\( 1 + 2 T + 31 T^{2} \))(\( 1 + 2 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 - 4 T + 31 T^{2} \))(\( 1 - 2 T + 31 T^{2} \))(\( 1 - 10 T^{2} + 961 T^{4} \))(\( 1 + 50 T^{2} + 961 T^{4} \))(\( 1 + 50 T^{2} + 961 T^{4} \))(\( 1 - 10 T^{2} + 961 T^{4} \))(\( 1 + 10 T^{2} + 961 T^{4} \))(\( 1 + 10 T^{2} + 961 T^{4} \))(\( ( 1 - 31 T^{2} )^{2} \))(\( ( 1 - 31 T^{2} )^{2} \))(\( 1 + 10 T^{2} + 961 T^{4} \))(\( 1 + 10 T^{2} + 961 T^{4} \))(\( ( 1 - 46 T^{2} + 961 T^{4} )^{2} \))(\( ( 1 - 31 T^{2} )^{4} \))(\( ( 1 + 38 T^{2} + 961 T^{4} )^{2} \))(\( ( 1 - 10 T + 31 T^{2} )^{2}( 1 + 10 T + 31 T^{2} )^{2} \))(\( ( 1 + 4 T + 31 T^{2} )^{2} \))(\( ( 1 - 10 T + 31 T^{2} )^{2} \))(\( ( 1 + 6 T + 31 T^{2} )^{2} \))(\( ( 1 + 8 T + 31 T^{2} )^{2} \))(\( ( 1 - 8 T + 31 T^{2} )^{2} \))(\( ( 1 - 6 T + 31 T^{2} )^{2} \))(\( ( 1 + 10 T + 31 T^{2} )^{2} \))(\( ( 1 - 4 T + 31 T^{2} )^{2} \))(\( ( 1 - 58 T^{2} + 961 T^{4} )^{2} \))(\( 1 - 96 T^{2} + 4046 T^{4} - 92256 T^{6} + 923521 T^{8} \))(\( 1 - 96 T^{2} + 4046 T^{4} - 92256 T^{6} + 923521 T^{8} \))(\( ( 1 - 4 T + 31 T^{2} )^{2}( 1 + 4 T + 31 T^{2} )^{2} \))(\( 1 - 96 T^{2} + 4046 T^{4} - 92256 T^{6} + 923521 T^{8} \))(\( 1 - 96 T^{2} + 4046 T^{4} - 92256 T^{6} + 923521 T^{8} \))(\( ( 1 - 58 T^{2} + 961 T^{4} )^{2} \))(\( ( 1 + 44 T^{2} + 961 T^{4} )^{2} \))(\( ( 1 + 60 T^{2} + 961 T^{4} )^{2} \))(\( ( 1 + 60 T^{2} + 961 T^{4} )^{2} \))(\( ( 1 + 44 T^{2} + 961 T^{4} )^{2} \))(\( ( 1 + 8 T^{2} + 961 T^{4} )^{4} \))(\( ( 1 + 8 T^{2} + 961 T^{4} )^{4} \))(\( ( 1 - 44 T^{2} + 961 T^{4} )^{2} \))(\( ( 1 - 44 T^{2} + 961 T^{4} )^{2} \))(\( ( 1 - 44 T^{2} + 961 T^{4} )^{2} \))(\( ( 1 - 44 T^{2} + 961 T^{4} )^{2} \))(\( ( 1 + 194 T^{4} + 923521 T^{8} )^{2} \))(\( ( 1 + 194 T^{4} + 923521 T^{8} )^{2} \))(\( ( 1 - 76 T^{2} + 2934 T^{4} - 73036 T^{6} + 923521 T^{8} )^{4} \))(\( ( 1 - 76 T^{2} + 2934 T^{4} - 73036 T^{6} + 923521 T^{8} )^{4} \))
$37$ (\( 1 + 8 T + 37 T^{2} \))(\( 1 + 4 T + 37 T^{2} \))(\( 1 - 4 T + 37 T^{2} \))(\( 1 - 8 T + 37 T^{2} \))(\( 1 + 8 T + 37 T^{2} \))(\( 1 - 4 T + 37 T^{2} \))(\( 1 + 4 T + 37 T^{2} \))(\( 1 - 8 T + 37 T^{2} \))(\( ( 1 + 37 T^{2} )^{2} \))(\( 1 + 26 T^{2} + 1369 T^{4} \))(\( 1 + 26 T^{2} + 1369 T^{4} \))(\( ( 1 + 37 T^{2} )^{2} \))(\( ( 1 + 4 T + 37 T^{2} )^{2} \))(\( ( 1 - 4 T + 37 T^{2} )^{2} \))(\( ( 1 + 37 T^{2} )^{2} \))(\( ( 1 + 37 T^{2} )^{2} \))(\( ( 1 + 4 T + 37 T^{2} )^{2} \))(\( ( 1 - 4 T + 37 T^{2} )^{2} \))(\( ( 1 + 26 T^{2} + 1369 T^{4} )^{2} \))(\( ( 1 + 37 T^{2} )^{4} \))(\( ( 1 + 37 T^{2} )^{4} \))(\( ( 1 + 37 T^{2} )^{4} \))(\( ( 1 - 12 T + 37 T^{2} )( 1 + 12 T + 37 T^{2} ) \))(\( ( 1 - 12 T + 37 T^{2} )( 1 + 12 T + 37 T^{2} ) \))(\( ( 1 - 12 T + 37 T^{2} )( 1 + 12 T + 37 T^{2} ) \))(\( 1 - 38 T^{2} + 1369 T^{4} \))(\( 1 - 38 T^{2} + 1369 T^{4} \))(\( ( 1 - 12 T + 37 T^{2} )( 1 + 12 T + 37 T^{2} ) \))(\( ( 1 - 12 T + 37 T^{2} )( 1 + 12 T + 37 T^{2} ) \))(\( ( 1 - 12 T + 37 T^{2} )( 1 + 12 T + 37 T^{2} ) \))(\( ( 1 - 38 T^{2} + 1369 T^{4} )^{2} \))(\( 1 - 76 T^{2} + 2902 T^{4} - 104044 T^{6} + 1874161 T^{8} \))(\( 1 - 76 T^{2} + 2902 T^{4} - 104044 T^{6} + 1874161 T^{8} \))(\( ( 1 + 26 T^{2} + 1369 T^{4} )^{2} \))(\( 1 - 76 T^{2} + 2902 T^{4} - 104044 T^{6} + 1874161 T^{8} \))(\( 1 - 76 T^{2} + 2902 T^{4} - 104044 T^{6} + 1874161 T^{8} \))(\( ( 1 - 38 T^{2} + 1369 T^{4} )^{2} \))(\( ( 1 + 6 T + 18 T^{2} + 222 T^{3} + 1369 T^{4} )^{2} \))(\( ( 1 - 2 T + 37 T^{2} )^{2}( 1 + 12 T + 37 T^{2} )^{2} \))(\( ( 1 - 12 T + 37 T^{2} )^{2}( 1 + 2 T + 37 T^{2} )^{2} \))(\( ( 1 - 6 T + 18 T^{2} - 222 T^{3} + 1369 T^{4} )^{2} \))(\( ( 1 - 12 T + 72 T^{2} - 372 T^{3} + 1886 T^{4} - 13764 T^{5} + 98568 T^{6} - 607836 T^{7} + 1874161 T^{8} )^{2} \))(\( ( 1 + 12 T + 72 T^{2} + 372 T^{3} + 1886 T^{4} + 13764 T^{5} + 98568 T^{6} + 607836 T^{7} + 1874161 T^{8} )^{2} \))(\( ( 1 - 2 T + 37 T^{2} )^{2}( 1 + 12 T + 37 T^{2} )^{2} \))(\( ( 1 - 12 T + 37 T^{2} )^{2}( 1 + 2 T + 37 T^{2} )^{2} \))(\( ( 1 - 2 T + 37 T^{2} )^{2}( 1 + 12 T + 37 T^{2} )^{2} \))(\( ( 1 - 12 T + 37 T^{2} )^{2}( 1 + 2 T + 37 T^{2} )^{2} \))(\( ( 1 - 10 T + 37 T^{2} )^{4}( 1 + 26 T^{2} + 1369 T^{4} )^{2} \))(\( ( 1 + 10 T + 37 T^{2} )^{4}( 1 + 26 T^{2} + 1369 T^{4} )^{2} \))(\( ( 1 + 16 T + 128 T^{2} + 1008 T^{3} + 7262 T^{4} + 37296 T^{5} + 175232 T^{6} + 810448 T^{7} + 1874161 T^{8} )^{4} \))(\( ( 1 - 16 T + 128 T^{2} - 1008 T^{3} + 7262 T^{4} - 37296 T^{5} + 175232 T^{6} - 810448 T^{7} + 1874161 T^{8} )^{4} \))
$41$ (\( 1 + 2 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( ( 1 + 10 T + 41 T^{2} )^{2} \))(\( ( 1 - 6 T + 41 T^{2} )^{2} \))(\( ( 1 - 6 T + 41 T^{2} )^{2} \))(\( ( 1 + 10 T + 41 T^{2} )^{2} \))(\( ( 1 - 41 T^{2} )^{2} \))(\( ( 1 - 41 T^{2} )^{2} \))(\( ( 1 - 6 T + 41 T^{2} )( 1 + 6 T + 41 T^{2} ) \))(\( ( 1 - 6 T + 41 T^{2} )( 1 + 6 T + 41 T^{2} ) \))(\( ( 1 - 41 T^{2} )^{2} \))(\( ( 1 - 41 T^{2} )^{2} \))(\( ( 1 - 41 T^{2} )^{4} \))(\( ( 1 - 6 T + 41 T^{2} )^{2}( 1 + 6 T + 41 T^{2} )^{2} \))(\( ( 1 - 41 T^{2} )^{4} \))(\( ( 1 - 41 T^{2} )^{4} \))(\( ( 1 + 2 T + 41 T^{2} )^{2} \))(\( ( 1 - 2 T + 41 T^{2} )^{2} \))(\( ( 1 + 6 T + 41 T^{2} )^{2} \))(\( ( 1 - 6 T + 41 T^{2} )^{2} \))(\( ( 1 - 6 T + 41 T^{2} )^{2} \))(\( ( 1 + 6 T + 41 T^{2} )^{2} \))(\( ( 1 - 2 T + 41 T^{2} )^{2} \))(\( ( 1 + 2 T + 41 T^{2} )^{2} \))(\( ( 1 - 50 T^{2} + 1681 T^{4} )^{2} \))(\( 1 - 116 T^{2} + 6406 T^{4} - 194996 T^{6} + 2825761 T^{8} \))(\( 1 - 116 T^{2} + 6406 T^{4} - 194996 T^{6} + 2825761 T^{8} \))(\( ( 1 - 41 T^{2} )^{4} \))(\( 1 - 116 T^{2} + 6406 T^{4} - 194996 T^{6} + 2825761 T^{8} \))(\( 1 - 116 T^{2} + 6406 T^{4} - 194996 T^{6} + 2825761 T^{8} \))(\( ( 1 - 50 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 - 8 T + 41 T^{2} )^{2}( 1 + 8 T + 41 T^{2} )^{2} \))(\( ( 1 - 46 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 - 46 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 - 8 T + 41 T^{2} )^{2}( 1 + 8 T + 41 T^{2} )^{2} \))(\( ( 1 - 12 T^{2} + 326 T^{4} - 20172 T^{6} + 2825761 T^{8} )^{2} \))(\( ( 1 - 12 T^{2} + 326 T^{4} - 20172 T^{6} + 2825761 T^{8} )^{2} \))(\( ( 1 + 74 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 + 74 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 + 74 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 + 74 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 + 41 T^{2} )^{8} \))(\( ( 1 + 41 T^{2} )^{8} \))(\( ( 1 + 76 T^{2} + 3078 T^{4} + 127756 T^{6} + 2825761 T^{8} )^{4} \))(\( ( 1 + 76 T^{2} + 3078 T^{4} + 127756 T^{6} + 2825761 T^{8} )^{4} \))
$43$ (\( 1 - 4 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( ( 1 + 12 T + 43 T^{2} )^{2} \))(\( ( 1 + 4 T + 43 T^{2} )^{2} \))(\( ( 1 - 4 T + 43 T^{2} )^{2} \))(\( ( 1 - 12 T + 43 T^{2} )^{2} \))(\( 1 - 78 T^{2} + 1849 T^{4} \))(\( 1 - 78 T^{2} + 1849 T^{4} \))(\( ( 1 - 10 T + 43 T^{2} )( 1 + 10 T + 43 T^{2} ) \))(\( ( 1 - 10 T + 43 T^{2} )( 1 + 10 T + 43 T^{2} ) \))(\( 1 - 78 T^{2} + 1849 T^{4} \))(\( 1 - 78 T^{2} + 1849 T^{4} \))(\( ( 1 - 8 T + 43 T^{2} )^{2}( 1 + 8 T + 43 T^{2} )^{2} \))(\( ( 1 + 14 T^{2} + 1849 T^{4} )^{2} \))(\( ( 1 - 43 T^{2} )^{4} \))(\( ( 1 - 43 T^{2} )^{4} \))(\( 1 - 70 T^{2} + 1849 T^{4} \))(\( 1 - 22 T^{2} + 1849 T^{4} \))(\( ( 1 - 43 T^{2} )^{2} \))(\( 1 - 70 T^{2} + 1849 T^{4} \))(\( 1 - 70 T^{2} + 1849 T^{4} \))(\( ( 1 - 43 T^{2} )^{2} \))(\( 1 - 22 T^{2} + 1849 T^{4} \))(\( 1 - 70 T^{2} + 1849 T^{4} \))(\( ( 1 - 2 T + 43 T^{2} )^{4} \))(\( ( 1 - 10 T + 106 T^{2} - 430 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 - 10 T + 106 T^{2} - 430 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 - 22 T^{2} + 1849 T^{4} )^{2} \))(\( ( 1 + 10 T + 106 T^{2} + 430 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 + 10 T + 106 T^{2} + 430 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 + 2 T + 43 T^{2} )^{4} \))(\( 1 - 1198 T^{4} + 3418801 T^{8} \))(\( 1 - 1198 T^{4} + 3418801 T^{8} \))(\( 1 - 1198 T^{4} + 3418801 T^{8} \))(\( 1 - 1198 T^{4} + 3418801 T^{8} \))(\( ( 1 + 1778 T^{4} + 3418801 T^{8} )^{2} \))(\( ( 1 + 1778 T^{4} + 3418801 T^{8} )^{2} \))(\( 1 + 1202 T^{4} + 3418801 T^{8} \))(\( 1 + 1202 T^{4} + 3418801 T^{8} \))(\( 1 + 1202 T^{4} + 3418801 T^{8} \))(\( 1 + 1202 T^{4} + 3418801 T^{8} \))(\( ( 1 - 3214 T^{4} + 3418801 T^{8} )^{2} \))(\( ( 1 - 3214 T^{4} + 3418801 T^{8} )^{2} \))(\( ( 1 - 6596 T^{4} + 17594406 T^{8} - 22550411396 T^{12} + 11688200277601 T^{16} )^{2} \))(\( ( 1 - 6596 T^{4} + 17594406 T^{8} - 22550411396 T^{12} + 11688200277601 T^{16} )^{2} \))
$47$ (\( 1 + 12 T + 47 T^{2} \))(\( 1 + 8 T + 47 T^{2} \))(\( 1 - 8 T + 47 T^{2} \))(\( 1 - 12 T + 47 T^{2} \))(\( 1 - 12 T + 47 T^{2} \))(\( 1 + 8 T + 47 T^{2} \))(\( 1 - 8 T + 47 T^{2} \))(\( 1 + 12 T + 47 T^{2} \))(\( 1 + 62 T^{2} + 2209 T^{4} \))(\( 1 + 46 T^{2} + 2209 T^{4} \))(\( 1 + 46 T^{2} + 2209 T^{4} \))(\( 1 + 62 T^{2} + 2209 T^{4} \))(\( ( 1 + 47 T^{2} )^{2} \))(\( ( 1 + 47 T^{2} )^{2} \))(\( ( 1 + 47 T^{2} )^{2} \))(\( ( 1 + 47 T^{2} )^{2} \))(\( ( 1 + 47 T^{2} )^{2} \))(\( ( 1 + 47 T^{2} )^{2} \))(\( ( 1 + 47 T^{2} )^{4} \))(\( ( 1 + 47 T^{2} )^{4} \))(\( ( 1 + 47 T^{2} )^{4} \))(\( ( 1 + 47 T^{2} )^{4} \))(\( ( 1 + 8 T + 47 T^{2} )^{2} \))(\( ( 1 + 12 T + 47 T^{2} )^{2} \))(\( ( 1 - 4 T + 47 T^{2} )^{2} \))(\( ( 1 + 47 T^{2} )^{2} \))(\( ( 1 + 47 T^{2} )^{2} \))(\( ( 1 + 4 T + 47 T^{2} )^{2} \))(\( ( 1 - 12 T + 47 T^{2} )^{2} \))(\( ( 1 - 8 T + 47 T^{2} )^{2} \))(\( ( 1 - 34 T^{2} + 2209 T^{4} )^{2} \))(\( ( 1 + 8 T + 47 T^{2} )^{4} \))(\( ( 1 - 8 T + 47 T^{2} )^{4} \))(\( ( 1 + 47 T^{2} )^{4} \))(\( ( 1 - 8 T + 47 T^{2} )^{4} \))(\( ( 1 + 8 T + 47 T^{2} )^{4} \))(\( ( 1 - 34 T^{2} + 2209 T^{4} )^{2} \))(\( ( 1 + 86 T^{2} + 2209 T^{4} )^{2} \))(\( ( 1 + 22 T^{2} + 2209 T^{4} )^{2} \))(\( ( 1 + 22 T^{2} + 2209 T^{4} )^{2} \))(\( ( 1 + 86 T^{2} + 2209 T^{4} )^{2} \))(\( ( 1 + 86 T^{2} + 2209 T^{4} )^{4} \))(\( ( 1 + 86 T^{2} + 2209 T^{4} )^{4} \))(\( ( 1 + 12 T + 47 T^{2} )^{4} \))(\( ( 1 - 12 T + 47 T^{2} )^{4} \))(\( ( 1 - 12 T + 47 T^{2} )^{4} \))(\( ( 1 + 12 T + 47 T^{2} )^{4} \))(\( ( 1 + 47 T^{2} )^{8} \))(\( ( 1 + 47 T^{2} )^{8} \))(\( ( 1 + 47 T^{2} )^{16} \))(\( ( 1 + 47 T^{2} )^{16} \))
$53$ (\( 1 + 6 T + 53 T^{2} \))(\( 1 + 8 T + 53 T^{2} \))(\( 1 - 8 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - 8 T + 53 T^{2} \))(\( 1 + 8 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 + 98 T^{2} + 2809 T^{4} \))(\( 1 + 94 T^{2} + 2809 T^{4} \))(\( 1 + 94 T^{2} + 2809 T^{4} \))(\( 1 + 98 T^{2} + 2809 T^{4} \))(\( 1 - 34 T^{2} + 2809 T^{4} \))(\( 1 - 34 T^{2} + 2809 T^{4} \))(\( ( 1 - 53 T^{2} )^{2} \))(\( ( 1 - 53 T^{2} )^{2} \))(\( 1 - 34 T^{2} + 2809 T^{4} \))(\( 1 - 34 T^{2} + 2809 T^{4} \))(\( ( 1 - 53 T^{2} )^{4} \))(\( ( 1 - 53 T^{2} )^{4} \))(\( ( 1 - 94 T^{2} + 2809 T^{4} )^{2} \))(\( ( 1 + 94 T^{2} + 2809 T^{4} )^{2} \))(\( 1 - 6 T^{2} + 2809 T^{4} \))(\( 1 + 38 T^{2} + 2809 T^{4} \))(\( ( 1 - 53 T^{2} )^{2} \))(\( 1 - 102 T^{2} + 2809 T^{4} \))(\( 1 - 102 T^{2} + 2809 T^{4} \))(\( ( 1 - 53 T^{2} )^{2} \))(\( 1 + 38 T^{2} + 2809 T^{4} \))(\( 1 - 6 T^{2} + 2809 T^{4} \))(\( ( 1 + 34 T^{2} + 2809 T^{4} )^{2} \))(\( ( 1 + 2 T + 102 T^{2} + 106 T^{3} + 2809 T^{4} )^{2} \))(\( ( 1 - 2 T + 102 T^{2} - 106 T^{3} + 2809 T^{4} )^{2} \))(\( ( 1 + 53 T^{2} )^{4} \))(\( ( 1 + 2 T + 102 T^{2} + 106 T^{3} + 2809 T^{4} )^{2} \))(\( ( 1 - 2 T + 102 T^{2} - 106 T^{3} + 2809 T^{4} )^{2} \))(\( ( 1 + 34 T^{2} + 2809 T^{4} )^{2} \))(\( ( 1 + 8 T + 32 T^{2} + 424 T^{3} + 2809 T^{4} )^{2} \))(\( ( 1 - 12 T + 72 T^{2} - 636 T^{3} + 2809 T^{4} )^{2} \))(\( ( 1 + 12 T + 72 T^{2} + 636 T^{3} + 2809 T^{4} )^{2} \))(\( ( 1 - 8 T + 32 T^{2} - 424 T^{3} + 2809 T^{4} )^{2} \))(\( ( 1 + 20 T + 200 T^{2} + 1940 T^{3} + 16882 T^{4} + 102820 T^{5} + 561800 T^{6} + 2977540 T^{7} + 7890481 T^{8} )^{2} \))(\( ( 1 - 20 T + 200 T^{2} - 1940 T^{3} + 16882 T^{4} - 102820 T^{5} + 561800 T^{6} - 2977540 T^{7} + 7890481 T^{8} )^{2} \))(\( 1 - 718 T^{4} + 7890481 T^{8} \))(\( 1 - 718 T^{4} + 7890481 T^{8} \))(\( 1 - 718 T^{4} + 7890481 T^{8} \))(\( 1 - 718 T^{4} + 7890481 T^{8} \))(\( ( 1 + 2809 T^{4} )^{4} \))(\( ( 1 + 2809 T^{4} )^{4} \))(\( ( 1 - 260 T^{4} - 9085338 T^{8} - 2051525060 T^{12} + 62259690411361 T^{16} )^{2} \))(\( ( 1 - 260 T^{4} - 9085338 T^{8} - 2051525060 T^{12} + 62259690411361 T^{16} )^{2} \))
$59$ (\( 1 + 4 T + 59 T^{2} \))(\( 1 + 12 T + 59 T^{2} \))(\( 1 + 12 T + 59 T^{2} \))(\( 1 + 4 T + 59 T^{2} \))(\( 1 - 4 T + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( 1 - 4 T + 59 T^{2} \))(\( ( 1 - 4 T + 59 T^{2} )^{2} \))(\( ( 1 - 12 T + 59 T^{2} )^{2} \))(\( ( 1 + 12 T + 59 T^{2} )^{2} \))(\( ( 1 + 4 T + 59 T^{2} )^{2} \))(\( ( 1 + 6 T + 59 T^{2} )^{2} \))(\( ( 1 + 6 T + 59 T^{2} )^{2} \))(\( ( 1 + 6 T + 59 T^{2} )^{2} \))(\( ( 1 - 6 T + 59 T^{2} )^{2} \))(\( ( 1 - 6 T + 59 T^{2} )^{2} \))(\( ( 1 - 6 T + 59 T^{2} )^{2} \))(\( ( 1 + 59 T^{2} )^{4} \))(\( ( 1 - 82 T^{2} + 3481 T^{4} )^{2} \))(\( ( 1 + 10 T^{2} + 3481 T^{4} )^{2} \))(\( ( 1 + 10 T^{2} + 3481 T^{4} )^{2} \))(\( 1 - 102 T^{2} + 3481 T^{4} \))(\( 1 - 102 T^{2} + 3481 T^{4} \))(\( 1 - 102 T^{2} + 3481 T^{4} \))(\( 1 - 102 T^{2} + 3481 T^{4} \))(\( 1 - 102 T^{2} + 3481 T^{4} \))(\( 1 - 102 T^{2} + 3481 T^{4} \))(\( 1 - 102 T^{2} + 3481 T^{4} \))(\( 1 - 102 T^{2} + 3481 T^{4} \))(\( ( 1 - 110 T^{2} + 3481 T^{4} )^{2} \))(\( 1 - 224 T^{2} + 19486 T^{4} - 779744 T^{6} + 12117361 T^{8} \))(\( 1 - 224 T^{2} + 19486 T^{4} - 779744 T^{6} + 12117361 T^{8} \))(\( ( 1 - 59 T^{2} )^{4} \))(\( 1 - 224 T^{2} + 19486 T^{4} - 779744 T^{6} + 12117361 T^{8} \))(\( 1 - 224 T^{2} + 19486 T^{4} - 779744 T^{6} + 12117361 T^{8} \))(\( ( 1 - 110 T^{2} + 3481 T^{4} )^{2} \))(\( ( 1 + 3481 T^{4} )^{2} \))(\( ( 1 + 3481 T^{4} )^{2} \))(\( ( 1 + 3481 T^{4} )^{2} \))(\( ( 1 + 3481 T^{4} )^{2} \))(\( ( 1 - 1486 T^{4} + 12117361 T^{8} )^{2} \))(\( ( 1 - 1486 T^{4} + 12117361 T^{8} )^{2} \))(\( ( 1 - 4 T + 8 T^{2} - 236 T^{3} + 3481 T^{4} )^{2} \))(\( ( 1 - 4 T + 8 T^{2} - 236 T^{3} + 3481 T^{4} )^{2} \))(\( ( 1 + 4 T + 8 T^{2} + 236 T^{3} + 3481 T^{4} )^{2} \))(\( ( 1 + 4 T + 8 T^{2} + 236 T^{3} + 3481 T^{4} )^{2} \))(\( ( 1 + 3481 T^{4} )^{4} \))(\( ( 1 + 3481 T^{4} )^{4} \))(\( ( 1 + 10300 T^{4} + 50176422 T^{8} + 124808818300 T^{12} + 146830437604321 T^{16} )^{2} \))(\( ( 1 + 10300 T^{4} + 50176422 T^{8} + 124808818300 T^{12} + 146830437604321 T^{16} )^{2} \))
$61$ (\( 1 + 61 T^{2} \))(\( 1 - 12 T + 61 T^{2} \))(\( 1 + 12 T + 61 T^{2} \))(\( 1 + 61 T^{2} \))(\( 1 + 61 T^{2} \))(\( 1 + 12 T + 61 T^{2} \))(\( 1 - 12 T + 61 T^{2} \))(\( 1 + 61 T^{2} \))(\( 1 - 6 T^{2} + 3721 T^{4} \))(\( 1 + 74 T^{2} + 3721 T^{4} \))(\( 1 + 74 T^{2} + 3721 T^{4} \))(\( 1 - 6 T^{2} + 3721 T^{4} \))(\( ( 1 + 4 T + 61 T^{2} )^{2} \))(\( ( 1 - 4 T + 61 T^{2} )^{2} \))(\( ( 1 + 61 T^{2} )^{2} \))(\( ( 1 + 61 T^{2} )^{2} \))(\( ( 1 + 4 T + 61 T^{2} )^{2} \))(\( ( 1 - 4 T + 61 T^{2} )^{2} \))(\( ( 1 + 74 T^{2} + 3721 T^{4} )^{2} \))(\( ( 1 + 61 T^{2} )^{4} \))(\( ( 1 + 61 T^{2} )^{4} \))(\( ( 1 + 61 T^{2} )^{4} \))(\( 1 - 86 T^{2} + 3721 T^{4} \))(\( 1 - 118 T^{2} + 3721 T^{4} \))(\( 1 + 74 T^{2} + 3721 T^{4} \))(\( 1 - 118 T^{2} + 3721 T^{4} \))(\( 1 - 118 T^{2} + 3721 T^{4} \))(\( 1 + 74 T^{2} + 3721 T^{4} \))(\( 1 - 118 T^{2} + 3721 T^{4} \))(\( 1 - 86 T^{2} + 3721 T^{4} \))(\( ( 1 - 118 T^{2} + 3721 T^{4} )^{2} \))(\( 1 - 172 T^{2} + 13558 T^{4} - 640012 T^{6} + 13845841 T^{8} \))(\( 1 - 172 T^{2} + 13558 T^{4} - 640012 T^{6} + 13845841 T^{8} \))(\( ( 1 + 74 T^{2} + 3721 T^{4} )^{2} \))(\( 1 - 172 T^{2} + 13558 T^{4} - 640012 T^{6} + 13845841 T^{8} \))(\( 1 - 172 T^{2} + 13558 T^{4} - 640012 T^{6} + 13845841 T^{8} \))(\( ( 1 - 118 T^{2} + 3721 T^{4} )^{2} \))(\( ( 1 + 6 T + 18 T^{2} + 366 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 + 10 T + 50 T^{2} + 610 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 - 10 T + 50 T^{2} - 610 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 - 6 T + 18 T^{2} - 366 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 - 12 T + 72 T^{2} - 660 T^{3} + 6014 T^{4} - 40260 T^{5} + 267912 T^{6} - 2723772 T^{7} + 13845841 T^{8} )^{2} \))(\( ( 1 + 12 T + 72 T^{2} + 660 T^{3} + 6014 T^{4} + 40260 T^{5} + 267912 T^{6} + 2723772 T^{7} + 13845841 T^{8} )^{2} \))(\( ( 1 + 18 T + 162 T^{2} + 1098 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 - 18 T + 162 T^{2} - 1098 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 + 18 T + 162 T^{2} + 1098 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 - 18 T + 162 T^{2} - 1098 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 + 14 T + 61 T^{2} )^{4}( 1 + 74 T^{2} + 3721 T^{4} )^{2} \))(\( ( 1 - 14 T + 61 T^{2} )^{4}( 1 + 74 T^{2} + 3721 T^{4} )^{2} \))(\( ( 1 - 2818 T^{4} + 13845841 T^{8} )^{4} \))(\( ( 1 - 2818 T^{4} + 13845841 T^{8} )^{4} \))
$67$ (\( 1 + 12 T + 67 T^{2} \))(\( 1 - 12 T + 67 T^{2} \))(\( 1 - 12 T + 67 T^{2} \))(\( 1 + 12 T + 67 T^{2} \))(\( 1 - 12 T + 67 T^{2} \))(\( 1 + 12 T + 67 T^{2} \))(\( 1 + 12 T + 67 T^{2} \))(\( 1 - 12 T + 67 T^{2} \))(\( ( 1 + 4 T + 67 T^{2} )^{2} \))(\( ( 1 - 4 T + 67 T^{2} )^{2} \))(\( ( 1 + 4 T + 67 T^{2} )^{2} \))(\( ( 1 - 4 T + 67 T^{2} )^{2} \))(\( 1 + 66 T^{2} + 4489 T^{4} \))(\( 1 + 66 T^{2} + 4489 T^{4} \))(\( ( 1 - 14 T + 67 T^{2} )( 1 + 14 T + 67 T^{2} ) \))(\( ( 1 - 14 T + 67 T^{2} )( 1 + 14 T + 67 T^{2} ) \))(\( 1 + 66 T^{2} + 4489 T^{4} \))(\( 1 + 66 T^{2} + 4489 T^{4} \))(\( ( 1 - 16 T + 67 T^{2} )^{2}( 1 + 16 T + 67 T^{2} )^{2} \))(\( ( 1 + 62 T^{2} + 4489 T^{4} )^{2} \))(\( ( 1 - 67 T^{2} )^{4} \))(\( ( 1 - 67 T^{2} )^{4} \))(\( 1 - 118 T^{2} + 4489 T^{4} \))(\( 1 - 118 T^{2} + 4489 T^{4} \))(\( 1 - 118 T^{2} + 4489 T^{4} \))(\( 1 - 118 T^{2} + 4489 T^{4} \))(\( 1 - 118 T^{2} + 4489 T^{4} \))(\( 1 - 118 T^{2} + 4489 T^{4} \))(\( 1 - 118 T^{2} + 4489 T^{4} \))(\( 1 - 118 T^{2} + 4489 T^{4} \))(\( ( 1 + 2 T + 67 T^{2} )^{4} \))(\( ( 1 - 6 T + 98 T^{2} - 402 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 - 6 T + 98 T^{2} - 402 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 + 122 T^{2} + 4489 T^{4} )^{2} \))(\( ( 1 + 6 T + 98 T^{2} + 402 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 + 6 T + 98 T^{2} + 402 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 - 2 T + 67 T^{2} )^{4} \))(\( 1 + 4946 T^{4} + 20151121 T^{8} \))(\( 1 + 4946 T^{4} + 20151121 T^{8} \))(\( 1 + 4946 T^{4} + 20151121 T^{8} \))(\( 1 + 4946 T^{4} + 20151121 T^{8} \))(\( 1 + 7588 T^{4} + 30907110 T^{8} + 152906706148 T^{12} + 406067677556641 T^{16} \))(\( 1 + 7588 T^{4} + 30907110 T^{8} + 152906706148 T^{12} + 406067677556641 T^{16} \))(\( 1 - 7822 T^{4} + 20151121 T^{8} \))(\( 1 - 7822 T^{4} + 20151121 T^{8} \))(\( 1 - 7822 T^{4} + 20151121 T^{8} \))(\( 1 - 7822 T^{4} + 20151121 T^{8} \))(\( ( 1 + 5906 T^{4} + 20151121 T^{8} )^{2} \))(\( ( 1 + 5906 T^{4} + 20151121 T^{8} )^{2} \))(\( ( 1 - 10628 T^{4} + 64504038 T^{8} - 214166113988 T^{12} + 406067677556641 T^{16} )^{2} \))(\( ( 1 - 10628 T^{4} + 64504038 T^{8} - 214166113988 T^{12} + 406067677556641 T^{16} )^{2} \))
$71$ (\( 1 + 12 T + 71 T^{2} \))(\( 1 - 8 T + 71 T^{2} \))(\( 1 + 8 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 - 8 T + 71 T^{2} \))(\( 1 + 8 T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 + 110 T^{2} + 5041 T^{4} \))(\( 1 + 94 T^{2} + 5041 T^{4} \))(\( 1 + 94 T^{2} + 5041 T^{4} \))(\( 1 + 110 T^{2} + 5041 T^{4} \))(\( ( 1 + 8 T + 71 T^{2} )^{2} \))(\( ( 1 - 8 T + 71 T^{2} )^{2} \))(\( ( 1 + 71 T^{2} )^{2} \))(\( ( 1 + 71 T^{2} )^{2} \))(\( ( 1 - 8 T + 71 T^{2} )^{2} \))(\( ( 1 + 8 T + 71 T^{2} )^{2} \))(\( ( 1 + 71 T^{2} )^{4} \))(\( ( 1 + 71 T^{2} )^{4} \))(\( ( 1 + 71 T^{2} )^{4} \))(\( ( 1 + 71 T^{2} )^{4} \))(\( ( 1 + 16 T + 71 T^{2} )^{2} \))(\( ( 1 - 4 T + 71 T^{2} )^{2} \))(\( ( 1 + 12 T + 71 T^{2} )^{2} \))(\( ( 1 - 8 T + 71 T^{2} )^{2} \))(\( ( 1 + 8 T + 71 T^{2} )^{2} \))(\( ( 1 - 12 T + 71 T^{2} )^{2} \))(\( ( 1 + 4 T + 71 T^{2} )^{2} \))(\( ( 1 - 16 T + 71 T^{2} )^{2} \))(\( ( 1 + 110 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 - 4 T - 34 T^{2} - 284 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 + 4 T - 34 T^{2} + 284 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 + 71 T^{2} )^{4} \))(\( ( 1 + 4 T - 34 T^{2} + 284 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 - 4 T - 34 T^{2} - 284 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 + 110 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 - 134 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 - 70 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 - 70 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 - 134 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 + 20 T^{2} - 2106 T^{4} + 100820 T^{6} + 25411681 T^{8} )^{2} \))(\( ( 1 + 20 T^{2} - 2106 T^{4} + 100820 T^{6} + 25411681 T^{8} )^{2} \))(\( ( 1 - 126 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 - 126 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 - 126 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 - 126 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 - 71 T^{2} )^{8} \))(\( ( 1 - 71 T^{2} )^{8} \))(\( ( 1 - 156 T^{2} + 12278 T^{4} - 786396 T^{6} + 25411681 T^{8} )^{4} \))(\( ( 1 - 156 T^{2} + 12278 T^{4} - 786396 T^{6} + 25411681 T^{8} )^{4} \))
$73$ (\( 1 - 6 T + 73 T^{2} \))(\( 1 + 6 T + 73 T^{2} \))(\( 1 + 6 T + 73 T^{2} \))(\( 1 - 6 T + 73 T^{2} \))(\( 1 - 6 T + 73 T^{2} \))(\( 1 + 6 T + 73 T^{2} \))(\( 1 + 6 T + 73 T^{2} \))(\( 1 - 6 T + 73 T^{2} \))(\( ( 1 - 2 T + 73 T^{2} )^{2} \))(\( ( 1 + 2 T + 73 T^{2} )^{2} \))(\( ( 1 + 2 T + 73 T^{2} )^{2} \))(\( ( 1 - 2 T + 73 T^{2} )^{2} \))(\( ( 1 - 10 T + 73 T^{2} )^{2} \))(\( ( 1 - 10 T + 73 T^{2} )^{2} \))(\( ( 1 - 2 T + 73 T^{2} )^{2} \))(\( ( 1 - 2 T + 73 T^{2} )^{2} \))(\( ( 1 - 10 T + 73 T^{2} )^{2} \))(\( ( 1 - 10 T + 73 T^{2} )^{2} \))(\( ( 1 + 10 T + 73 T^{2} )^{4} \))(\( ( 1 + 2 T + 73 T^{2} )^{4} \))(\( ( 1 - 14 T + 73 T^{2} )^{4} \))(\( ( 1 + 14 T + 73 T^{2} )^{4} \))(\( ( 1 - 6 T + 73 T^{2} )^{2} \))(\( ( 1 - 10 T + 73 T^{2} )^{2} \))(\( ( 1 - 10 T + 73 T^{2} )^{2} \))(\( ( 1 + 10 T + 73 T^{2} )^{2} \))(\( ( 1 + 10 T + 73 T^{2} )^{2} \))(\( ( 1 - 10 T + 73 T^{2} )^{2} \))(\( ( 1 - 10 T + 73 T^{2} )^{2} \))(\( ( 1 - 6 T + 73 T^{2} )^{2} \))(\( ( 1 - 6 T + 73 T^{2} )^{4} \))(\( ( 1 - 2 T + 73 T^{2} )^{4} \))(\( ( 1 - 2 T + 73 T^{2} )^{4} \))(\( ( 1 + 10 T + 73 T^{2} )^{4} \))(\( ( 1 - 2 T + 73 T^{2} )^{4} \))(\( ( 1 - 2 T + 73 T^{2} )^{4} \))(\( ( 1 - 6 T + 73 T^{2} )^{4} \))(\( ( 1 - 6 T + 73 T^{2} )^{2}( 1 + 6 T + 73 T^{2} )^{2} \))(\( ( 1 - 73 T^{2} )^{4} \))(\( ( 1 - 73 T^{2} )^{4} \))(\( ( 1 - 6 T + 73 T^{2} )^{2}( 1 + 6 T + 73 T^{2} )^{2} \))(\( ( 1 - 130 T^{2} + 5329 T^{4} )^{4} \))(\( ( 1 - 130 T^{2} + 5329 T^{4} )^{4} \))(\( ( 1 - 130 T^{2} + 5329 T^{4} )^{2} \))(\( ( 1 - 130 T^{2} + 5329 T^{4} )^{2} \))(\( ( 1 - 130 T^{2} + 5329 T^{4} )^{2} \))(\( ( 1 - 130 T^{2} + 5329 T^{4} )^{2} \))(\( ( 1 - 10 T + 73 T^{2} )^{4}( 1 + 10 T + 73 T^{2} )^{4} \))(\( ( 1 - 10 T + 73 T^{2} )^{4}( 1 + 10 T + 73 T^{2} )^{4} \))(\( ( 1 - 260 T^{2} + 27366 T^{4} - 1385540 T^{6} + 28398241 T^{8} )^{4} \))(\( ( 1 - 260 T^{2} + 27366 T^{4} - 1385540 T^{6} + 28398241 T^{8} )^{4} \))
$79$ (\( 1 - 10 T + 79 T^{2} \))(\( 1 + 4 T + 79 T^{2} \))(\( 1 - 4 T + 79 T^{2} \))(\( 1 + 10 T + 79 T^{2} \))(\( 1 + 10 T + 79 T^{2} \))(\( 1 + 4 T + 79 T^{2} \))(\( 1 - 4 T + 79 T^{2} \))(\( 1 - 10 T + 79 T^{2} \))(\( 1 + 86 T^{2} + 6241 T^{4} \))(\( 1 + 50 T^{2} + 6241 T^{4} \))(\( 1 + 50 T^{2} + 6241 T^{4} \))(\( 1 + 86 T^{2} + 6241 T^{4} \))(\( 1 - 150 T^{2} + 6241 T^{4} \))(\( 1 - 150 T^{2} + 6241 T^{4} \))(\( ( 1 - 79 T^{2} )^{2} \))(\( ( 1 - 79 T^{2} )^{2} \))(\( 1 - 150 T^{2} + 6241 T^{4} \))(\( 1 - 150 T^{2} + 6241 T^{4} \))(\( ( 1 - 142 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 - 79 T^{2} )^{4} \))(\( ( 1 - 58 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 - 10 T + 79 T^{2} )^{2}( 1 + 10 T + 79 T^{2} )^{2} \))(\( ( 1 + 4 T + 79 T^{2} )^{2} \))(\( ( 1 + 6 T + 79 T^{2} )^{2} \))(\( ( 1 - 10 T + 79 T^{2} )^{2} \))(\( ( 1 - 8 T + 79 T^{2} )^{2} \))(\( ( 1 + 8 T + 79 T^{2} )^{2} \))(\( ( 1 + 10 T + 79 T^{2} )^{2} \))(\( ( 1 - 6 T + 79 T^{2} )^{2} \))(\( ( 1 - 4 T + 79 T^{2} )^{2} \))(\( ( 1 + 38 T^{2} + 6241 T^{4} )^{2} \))(\( 1 - 128 T^{2} + 7758 T^{4} - 798848 T^{6} + 38950081 T^{8} \))(\( 1 - 128 T^{2} + 7758 T^{4} - 798848 T^{6} + 38950081 T^{8} \))(\( ( 1 - 4 T + 79 T^{2} )^{2}( 1 + 4 T + 79 T^{2} )^{2} \))(\( 1 - 128 T^{2} + 7758 T^{4} - 798848 T^{6} + 38950081 T^{8} \))(\( 1 - 128 T^{2} + 7758 T^{4} - 798848 T^{6} + 38950081 T^{8} \))(\( ( 1 + 38 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 + 140 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 + 156 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 + 156 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 + 140 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 + 152 T^{2} + 6241 T^{4} )^{4} \))(\( ( 1 + 152 T^{2} + 6241 T^{4} )^{4} \))(\( ( 1 - 60 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 - 60 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 - 60 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 - 60 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 + 7682 T^{4} + 38950081 T^{8} )^{2} \))(\( ( 1 + 7682 T^{4} + 38950081 T^{8} )^{2} \))(\( ( 1 - 300 T^{2} + 34934 T^{4} - 1872300 T^{6} + 38950081 T^{8} )^{4} \))(\( ( 1 - 300 T^{2} + 34934 T^{4} - 1872300 T^{6} + 38950081 T^{8} )^{4} \))
$83$ (\( 1 - 16 T + 83 T^{2} \))(\( 1 + 4 T + 83 T^{2} \))(\( 1 + 4 T + 83 T^{2} \))(\( 1 - 16 T + 83 T^{2} \))(\( 1 + 16 T + 83 T^{2} \))(\( 1 - 4 T + 83 T^{2} \))(\( 1 - 4 T + 83 T^{2} \))(\( 1 + 16 T + 83 T^{2} \))(\( ( 1 - 4 T + 83 T^{2} )^{2} \))(\( ( 1 + 83 T^{2} )^{2} \))(\( ( 1 + 83 T^{2} )^{2} \))(\( ( 1 + 4 T + 83 T^{2} )^{2} \))(\( ( 1 + 6 T + 83 T^{2} )^{2} \))(\( ( 1 + 6 T + 83 T^{2} )^{2} \))(\( ( 1 - 18 T + 83 T^{2} )^{2} \))(\( ( 1 + 18 T + 83 T^{2} )^{2} \))(\( ( 1 - 6 T + 83 T^{2} )^{2} \))(\( ( 1 - 6 T + 83 T^{2} )^{2} \))(\( ( 1 + 83 T^{2} )^{4} \))(\( ( 1 + 158 T^{2} + 6889 T^{4} )^{2} \))(\( ( 1 - 134 T^{2} + 6889 T^{4} )^{2} \))(\( ( 1 - 134 T^{2} + 6889 T^{4} )^{2} \))(\( 1 - 22 T^{2} + 6889 T^{4} \))(\( 1 - 22 T^{2} + 6889 T^{4} \))(\( 1 - 22 T^{2} + 6889 T^{4} \))(\( 1 - 150 T^{2} + 6889 T^{4} \))(\( 1 - 150 T^{2} + 6889 T^{4} \))(\( 1 - 22 T^{2} + 6889 T^{4} \))(\( 1 - 22 T^{2} + 6889 T^{4} \))(\( 1 - 22 T^{2} + 6889 T^{4} \))(\( ( 1 - 18 T + 83 T^{2} )^{2}( 1 + 18 T + 83 T^{2} )^{2} \))(\( 1 - 272 T^{2} + 31774 T^{4} - 1873808 T^{6} + 47458321 T^{8} \))(\( 1 - 272 T^{2} + 31774 T^{4} - 1873808 T^{6} + 47458321 T^{8} \))(\( ( 1 - 83 T^{2} )^{4} \))(\( 1 - 272 T^{2} + 31774 T^{4} - 1873808 T^{6} + 47458321 T^{8} \))(\( 1 - 272 T^{2} + 31774 T^{4} - 1873808 T^{6} + 47458321 T^{8} \))(\( ( 1 - 18 T + 83 T^{2} )^{2}( 1 + 18 T + 83 T^{2} )^{2} \))(\( 1 - 5678 T^{4} + 47458321 T^{8} \))(\( 1 - 13294 T^{4} + 47458321 T^{8} \))(\( 1 - 13294 T^{4} + 47458321 T^{8} \))(\( 1 - 5678 T^{4} + 47458321 T^{8} \))(\( 1 + 17828 T^{4} + 157096038 T^{8} + 846086946788 T^{12} + 2252292232139041 T^{16} \))(\( 1 + 17828 T^{4} + 157096038 T^{8} + 846086946788 T^{12} + 2252292232139041 T^{16} \))(\( ( 1 + 6889 T^{4} )^{2} \))(\( ( 1 + 6889 T^{4} )^{2} \))(\( ( 1 + 6889 T^{4} )^{2} \))(\( ( 1 + 6889 T^{4} )^{2} \))(\( ( 1 + 6889 T^{4} )^{4} \))(\( ( 1 + 6889 T^{4} )^{4} \))(\( ( 1 - 260 T^{4} - 76527258 T^{8} - 12339163460 T^{12} + 2252292232139041 T^{16} )^{2} \))(\( ( 1 - 260 T^{4} - 76527258 T^{8} - 12339163460 T^{12} + 2252292232139041 T^{16} )^{2} \))
$89$ (\( 1 - 10 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 - 10 T + 89 T^{2} \))(\( 1 - 10 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 - 10 T + 89 T^{2} \))(\( ( 1 + 6 T + 89 T^{2} )^{2} \))(\( ( 1 + 6 T + 89 T^{2} )^{2} \))(\( ( 1 + 6 T + 89 T^{2} )^{2} \))(\( ( 1 + 6 T + 89 T^{2} )^{2} \))(\( ( 1 - 18 T + 89 T^{2} )( 1 + 18 T + 89 T^{2} ) \))(\( ( 1 - 18 T + 89 T^{2} )( 1 + 18 T + 89 T^{2} ) \))(\( ( 1 - 18 T + 89 T^{2} )( 1 + 18 T + 89 T^{2} ) \))(\( ( 1 - 18 T + 89 T^{2} )( 1 + 18 T + 89 T^{2} ) \))(\( ( 1 - 18 T + 89 T^{2} )( 1 + 18 T + 89 T^{2} ) \))(\( ( 1 - 18 T + 89 T^{2} )( 1 + 18 T + 89 T^{2} ) \))(\( ( 1 - 89 T^{2} )^{4} \))(\( ( 1 - 18 T + 89 T^{2} )^{2}( 1 + 18 T + 89 T^{2} )^{2} \))(\( ( 1 - 89 T^{2} )^{4} \))(\( ( 1 - 89 T^{2} )^{4} \))(\( ( 1 + 10 T + 89 T^{2} )^{2} \))(\( ( 1 + 2 T + 89 T^{2} )^{2} \))(\( ( 1 - 14 T + 89 T^{2} )^{2} \))(\( ( 1 - 6 T + 89 T^{2} )^{2} \))(\( ( 1 - 6 T + 89 T^{2} )^{2} \))(\( ( 1 - 14 T + 89 T^{2} )^{2} \))(\( ( 1 + 2 T + 89 T^{2} )^{2} \))(\( ( 1 + 10 T + 89 T^{2} )^{2} \))(\( ( 1 + 110 T^{2} + 7921 T^{4} )^{2} \))(\( ( 1 - 162 T^{2} + 7921 T^{4} )^{2} \))(\( ( 1 - 162 T^{2} + 7921 T^{4} )^{2} \))(\( ( 1 - 89 T^{2} )^{4} \))(\( ( 1 - 162 T^{2} + 7921 T^{4} )^{2} \))(\( ( 1 - 162 T^{2} + 7921 T^{4} )^{2} \))(\( ( 1 + 110 T^{2} + 7921 T^{4} )^{2} \))(\( ( 1 + 18 T^{2} + 7921 T^{4} )^{2} \))(\( ( 1 - 142 T^{2} + 7921 T^{4} )^{2} \))(\( ( 1 - 142 T^{2} + 7921 T^{4} )^{2} \))(\( ( 1 + 18 T^{2} + 7921 T^{4} )^{2} \))(\( ( 1 - 252 T^{2} + 30950 T^{4} - 1996092 T^{6} + 62742241 T^{8} )^{2} \))(\( ( 1 - 252 T^{2} + 30950 T^{4} - 1996092 T^{6} + 62742241 T^{8} )^{2} \))(\( ( 1 + 146 T^{2} + 7921 T^{4} )^{2} \))(\( ( 1 + 146 T^{2} + 7921 T^{4} )^{2} \))(\( ( 1 + 146 T^{2} + 7921 T^{4} )^{2} \))(\( ( 1 + 146 T^{2} + 7921 T^{4} )^{2} \))(\( ( 1 + 89 T^{2} )^{8} \))(\( ( 1 + 89 T^{2} )^{8} \))(\( ( 1 + 28 T^{2} + 14310 T^{4} + 221788 T^{6} + 62742241 T^{8} )^{4} \))(\( ( 1 + 28 T^{2} + 14310 T^{4} + 221788 T^{6} + 62742241 T^{8} )^{4} \))
$97$ (\( 1 + 2 T + 97 T^{2} \))(\( 1 + 2 T + 97 T^{2} \))(\( 1 + 2 T + 97 T^{2} \))(\( 1 + 2 T + 97 T^{2} \))(\( 1 + 2 T + 97 T^{2} \))(\( 1 + 2 T + 97 T^{2} \))(\( 1 + 2 T + 97 T^{2} \))(\( 1 + 2 T + 97 T^{2} \))(\( ( 1 - 14 T + 97 T^{2} )^{2} \))(\( ( 1 + 2 T + 97 T^{2} )^{2} \))(\( ( 1 + 2 T + 97 T^{2} )^{2} \))(\( ( 1 - 14 T + 97 T^{2} )^{2} \))(\( ( 1 + 6 T + 97 T^{2} )^{2} \))(\( ( 1 + 6 T + 97 T^{2} )^{2} \))(\( ( 1 - 10 T + 97 T^{2} )^{2} \))(\( ( 1 - 10 T + 97 T^{2} )^{2} \))(\( ( 1 + 6 T + 97 T^{2} )^{2} \))(\( ( 1 + 6 T + 97 T^{2} )^{2} \))(\( ( 1 - 14 T + 97 T^{2} )^{4} \))(\( ( 1 + 10 T + 97 T^{2} )^{4} \))(\( ( 1 - 2 T + 97 T^{2} )^{4} \))(\( ( 1 - 2 T + 97 T^{2} )^{4} \))(\( ( 1 + 14 T + 97 T^{2} )^{2} \))(\( ( 1 + 6 T + 97 T^{2} )^{2} \))(\( ( 1 - 10 T + 97 T^{2} )^{2} \))(\( ( 1 - 2 T + 97 T^{2} )^{2} \))(\( ( 1 - 2 T + 97 T^{2} )^{2} \))(\( ( 1 - 10 T + 97 T^{2} )^{2} \))(\( ( 1 + 6 T + 97 T^{2} )^{2} \))(\( ( 1 + 14 T + 97 T^{2} )^{2} \))(\( ( 1 - 10 T + 97 T^{2} )^{4} \))(\( ( 1 + 8 T + 190 T^{2} + 776 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 + 8 T + 190 T^{2} + 776 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 + 14 T + 97 T^{2} )^{4} \))(\( ( 1 + 8 T + 190 T^{2} + 776 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 + 8 T + 190 T^{2} + 776 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 - 10 T + 97 T^{2} )^{4} \))(\( ( 1 + 4 T + 97 T^{2} )^{4} \))(\( ( 1 + 12 T + 97 T^{2} )^{4} \))(\( ( 1 + 12 T + 97 T^{2} )^{4} \))(\( ( 1 + 4 T + 97 T^{2} )^{4} \))(\( ( 1 - 16 T + 210 T^{2} - 1552 T^{3} + 9409 T^{4} )^{4} \))(\( ( 1 - 16 T + 210 T^{2} - 1552 T^{3} + 9409 T^{4} )^{4} \))(\( ( 1 + 8 T + 97 T^{2} )^{4} \))(\( ( 1 + 8 T + 97 T^{2} )^{4} \))(\( ( 1 + 8 T + 97 T^{2} )^{4} \))(\( ( 1 + 8 T + 97 T^{2} )^{4} \))(\( ( 1 + 2 T^{2} + 9409 T^{4} )^{4} \))(\( ( 1 + 2 T^{2} + 9409 T^{4} )^{4} \))(\( ( 1 - 8 T + 102 T^{2} - 776 T^{3} + 9409 T^{4} )^{8} \))(\( ( 1 - 8 T + 102 T^{2} - 776 T^{3} + 9409 T^{4} )^{8} \))
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