Properties

Label 1078.2
Level 1078
Weight 2
Dimension 11095
Nonzero newspaces 16
Sturm bound 141120
Trace bound 4

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Defining parameters

Level: \( N \) = \( 1078\( 1078 = 2 \cdot 7^{2} \cdot 11 \) \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 16 \)
Sturm bound: \(141120\)
Trace bound: \(4\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(1078))\).

Total New Old
Modular forms 36480 11095 25385
Cusp forms 34081 11095 22986
Eisenstein series 2399 0 2399

Trace form

\( 11095q - 2q^{2} + 6q^{4} + 12q^{5} + 21q^{6} + 16q^{7} - 2q^{8} + 50q^{9} + O(q^{10}) \) \( 11095q - 2q^{2} + 6q^{4} + 12q^{5} + 21q^{6} + 16q^{7} - 2q^{8} + 50q^{9} + 22q^{10} + 22q^{11} + 10q^{12} + 22q^{13} + 12q^{14} + 78q^{15} + 6q^{16} + 80q^{17} + 27q^{18} + 63q^{19} + 12q^{20} + 52q^{21} + 12q^{22} + 68q^{23} + 21q^{24} + 82q^{25} + 64q^{26} + 141q^{27} + 16q^{28} + 76q^{29} + 78q^{30} + 78q^{31} + 3q^{32} + 103q^{33} + 32q^{34} + 84q^{35} + 35q^{36} - 8q^{37} - 22q^{38} - 2q^{39} - 62q^{40} - 20q^{41} - 108q^{42} + 2q^{43} - 15q^{44} - 214q^{45} - 184q^{46} - 80q^{47} - 28q^{48} - 236q^{49} - 66q^{50} - 175q^{51} + 4q^{52} + 14q^{53} - 148q^{54} - 68q^{55} - 72q^{56} + 61q^{57} - 44q^{58} - 7q^{59} - 16q^{60} - 90q^{61} - 94q^{62} - 108q^{63} + 6q^{64} - 92q^{65} - 372q^{66} - 30q^{67} - 40q^{68} - 298q^{69} - 96q^{70} - 256q^{71} - 198q^{72} - 144q^{73} - 152q^{74} - 557q^{75} - 62q^{76} - 96q^{77} - 360q^{78} - 118q^{79} - 98q^{80} - 795q^{81} - 145q^{82} - 319q^{83} - 68q^{84} - 322q^{85} - 239q^{86} - 548q^{87} - 98q^{88} - 172q^{89} - 234q^{90} - 160q^{91} + 78q^{92} - 446q^{93} + 84q^{94} - 106q^{95} + 16q^{96} + 83q^{97} + 96q^{98} + 118q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(1078))\)

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
1078.2.a \(\chi_{1078}(1, \cdot)\) 1078.2.a.a 1 1
1078.2.a.b 1
1078.2.a.c 1
1078.2.a.d 1
1078.2.a.e 1
1078.2.a.f 1
1078.2.a.g 1
1078.2.a.h 1
1078.2.a.i 1
1078.2.a.j 1
1078.2.a.k 1
1078.2.a.l 1
1078.2.a.m 1
1078.2.a.n 2
1078.2.a.o 2
1078.2.a.p 2
1078.2.a.q 2
1078.2.a.r 2
1078.2.a.s 2
1078.2.a.t 2
1078.2.a.u 2
1078.2.a.v 2
1078.2.a.w 2
1078.2.a.x 2
1078.2.c \(\chi_{1078}(1077, \cdot)\) 1078.2.c.a 8 1
1078.2.c.b 16
1078.2.c.c 16
1078.2.e \(\chi_{1078}(67, \cdot)\) 1078.2.e.a 2 2
1078.2.e.b 2
1078.2.e.c 2
1078.2.e.d 2
1078.2.e.e 2
1078.2.e.f 2
1078.2.e.g 2
1078.2.e.h 2
1078.2.e.i 2
1078.2.e.j 2
1078.2.e.k 2
1078.2.e.l 2
1078.2.e.m 4
1078.2.e.n 4
1078.2.e.o 4
1078.2.e.p 4
1078.2.e.q 4
1078.2.e.r 4
1078.2.e.s 4
1078.2.e.t 4
1078.2.e.u 4
1078.2.e.v 4
1078.2.f \(\chi_{1078}(295, \cdot)\) n/a 164 4
1078.2.i \(\chi_{1078}(901, \cdot)\) 1078.2.i.a 16 2
1078.2.i.b 16
1078.2.i.c 16
1078.2.i.d 32
1078.2.j \(\chi_{1078}(155, \cdot)\) n/a 264 6
1078.2.l \(\chi_{1078}(195, \cdot)\) n/a 160 4
1078.2.o \(\chi_{1078}(153, \cdot)\) n/a 336 6
1078.2.q \(\chi_{1078}(361, \cdot)\) n/a 320 8
1078.2.r \(\chi_{1078}(23, \cdot)\) n/a 576 12
1078.2.s \(\chi_{1078}(19, \cdot)\) n/a 320 8
1078.2.v \(\chi_{1078}(15, \cdot)\) n/a 1344 24
1078.2.w \(\chi_{1078}(87, \cdot)\) n/a 672 12
1078.2.ba \(\chi_{1078}(13, \cdot)\) n/a 1344 24
1078.2.bc \(\chi_{1078}(9, \cdot)\) n/a 2688 48
1078.2.bf \(\chi_{1078}(17, \cdot)\) n/a 2688 48

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

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(1078))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(1078)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(11))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(14))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(22))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(49))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(77))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(98))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(154))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(539))\)\(^{\oplus 2}\)

Hecke characteristic polynomials

$p$ $F_p(T)$
$2$ (\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T^{2} )^{4} \))(\( ( 1 + T^{2} )^{8} \))(\( ( 1 + T^{2} )^{8} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( ( 1 + T + T^{2} )^{2} \))(\( ( 1 + T + T^{2} )^{2} \))(\( ( 1 + T + T^{2} )^{2} \))(\( ( 1 + T + T^{2} )^{2} \))(\( ( 1 + T + T^{2} )^{2} \))(\( ( 1 - T + T^{2} )^{2} \))(\( ( 1 - T + T^{2} )^{2} \))(\( ( 1 - T + T^{2} )^{2} \))(\( ( 1 - T + T^{2} )^{2} \))(\( ( 1 - T + T^{2} )^{2} \))(\( ( 1 - T^{2} + T^{4} )^{4} \))(\( ( 1 - T^{2} + T^{4} )^{4} \))(\( ( 1 - T^{2} + T^{4} )^{4} \))
$3$ (\( 1 + 3 T + 3 T^{2} \))(\( 1 + 2 T + 3 T^{2} \))(\( 1 + T + 3 T^{2} \))(\( 1 + 3 T^{2} \))(\( 1 - T + 3 T^{2} \))(\( 1 - 3 T + 3 T^{2} \))(\( 1 + 3 T + 3 T^{2} \))(\( 1 + 2 T + 3 T^{2} \))(\( 1 + T + 3 T^{2} \))(\( 1 + 3 T^{2} \))(\( 1 - T + 3 T^{2} \))(\( 1 - 2 T + 3 T^{2} \))(\( 1 - 3 T + 3 T^{2} \))(\( 1 - T^{2} + 9 T^{4} \))(\( ( 1 + 3 T^{2} )^{2} \))(\( ( 1 + 3 T^{2} )^{2} \))(\( 1 + 4 T^{2} + 9 T^{4} \))(\( 1 - 2 T^{2} + 9 T^{4} \))(\( 1 - T^{2} + 9 T^{4} \))(\( 1 + 2 T + 5 T^{2} + 6 T^{3} + 9 T^{4} \))(\( 1 + 4 T^{2} + 9 T^{4} \))(\( 1 - 2 T^{2} + 9 T^{4} \))(\( 1 - 2 T + 2 T^{2} - 6 T^{3} + 9 T^{4} \))(\( 1 - 2 T + 5 T^{2} - 6 T^{3} + 9 T^{4} \))(\( ( 1 - 4 T^{2} + 14 T^{4} - 36 T^{6} + 81 T^{8} )^{2} \))(\( ( 1 - 4 T + 6 T^{2} + 2 T^{3} - 17 T^{4} + 6 T^{5} + 54 T^{6} - 108 T^{7} + 81 T^{8} )^{2}( 1 + 4 T + 6 T^{2} - 2 T^{3} - 17 T^{4} - 6 T^{5} + 54 T^{6} + 108 T^{7} + 81 T^{8} )^{2} \))(\( ( 1 - 8 T^{2} + 32 T^{4} - 72 T^{6} + 81 T^{8} )^{4} \))(\( 1 + 2 T + T^{2} + 6 T^{3} + 9 T^{4} \))(\( ( 1 - 3 T + 3 T^{2} )( 1 + 3 T + 3 T^{2} ) \))(\( ( 1 - 3 T + 3 T^{2} )( 1 + 3 T + 3 T^{2} ) \))(\( 1 - T - 2 T^{2} - 3 T^{3} + 9 T^{4} \))(\( 1 - 2 T + T^{2} - 6 T^{3} + 9 T^{4} \))(\( ( 1 - 3 T + 3 T^{2} )( 1 + 3 T^{2} ) \))(\( ( 1 + 3 T^{2} )( 1 + 3 T + 3 T^{2} ) \))(\( 1 + 2 T + T^{2} + 6 T^{3} + 9 T^{4} \))(\( ( 1 - 3 T + 3 T^{2} )( 1 + 3 T + 3 T^{2} ) \))(\( ( 1 - 3 T + 3 T^{2} )( 1 + 3 T + 3 T^{2} ) \))(\( 1 - T - 2 T^{2} - 3 T^{3} + 9 T^{4} \))(\( 1 - 2 T + T^{2} - 6 T^{3} + 9 T^{4} \))(\( 1 + 2 T - T^{2} - 2 T^{3} + 4 T^{4} - 6 T^{5} - 9 T^{6} + 54 T^{7} + 81 T^{8} \))(\( 1 + 2 T + 2 T^{2} - 8 T^{3} - 17 T^{4} - 24 T^{5} + 18 T^{6} + 54 T^{7} + 81 T^{8} \))(\( 1 + 2 T^{2} - 5 T^{4} + 18 T^{6} + 81 T^{8} \))(\( 1 - 4 T^{2} + 7 T^{4} - 36 T^{6} + 81 T^{8} \))(\( 1 - 2 T + 2 T^{2} + 8 T^{3} - 17 T^{4} + 24 T^{5} + 18 T^{6} - 54 T^{7} + 81 T^{8} \))(\( 1 + 2 T^{2} - 5 T^{4} + 18 T^{6} + 81 T^{8} \))(\( 1 - 4 T^{2} + 7 T^{4} - 36 T^{6} + 81 T^{8} \))(\( ( 1 - 3 T + 3 T^{2} )^{2}( 1 + 3 T + 3 T^{2} )^{2} \))(\( ( 1 - 3 T + 3 T^{2} )^{2}( 1 + 3 T + 3 T^{2} )^{2} \))(\( 1 + T^{2} - 8 T^{4} + 9 T^{6} + 81 T^{8} \))(\( ( 1 + 4 T^{2} + 2 T^{4} - 16 T^{6} - 29 T^{8} - 144 T^{10} + 162 T^{12} + 2916 T^{14} + 6561 T^{16} )^{2} \))(\( ( 1 + 2 T^{2} + 6 T^{4} - 40 T^{6} - 113 T^{8} - 360 T^{10} + 486 T^{12} + 1458 T^{14} + 6561 T^{16} )^{2} \))(\( ( 1 - 2 T - 2 T^{3} + 10 T^{4} - 6 T^{5} - 54 T^{7} + 81 T^{8} )^{2}( 1 + 2 T + 6 T^{2} + 14 T^{3} + 19 T^{4} + 42 T^{5} + 54 T^{6} + 54 T^{7} + 81 T^{8} )^{2} \))
$5$ (\( 1 + 4 T + 5 T^{2} \))(\( 1 + 2 T + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 - 4 T + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 - 4 T + 5 T^{2} \))(\( 1 + 2 T + 5 T^{2} \))(\( 1 + 2 T + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 + 2 T + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 - 2 T + 5 T^{2} \))(\( 1 - 2 T + 5 T^{2} \))(\( 1 + 2 T + 4 T^{2} + 10 T^{3} + 25 T^{4} \))(\( 1 + 2 T^{2} + 25 T^{4} \))(\( 1 + 2 T^{2} + 25 T^{4} \))(\( 1 + 8 T^{2} + 25 T^{4} \))(\( ( 1 + 5 T^{2} )^{2} \))(\( 1 - 2 T + 4 T^{2} - 10 T^{3} + 25 T^{4} \))(\( 1 + 4 T + 12 T^{2} + 20 T^{3} + 25 T^{4} \))(\( 1 - 8 T^{2} + 25 T^{4} \))(\( ( 1 + 5 T^{2} )^{2} \))(\( 1 + 2 T + 6 T^{2} + 10 T^{3} + 25 T^{4} \))(\( 1 - 4 T + 12 T^{2} - 20 T^{3} + 25 T^{4} \))(\( ( 1 - 12 T^{2} + 78 T^{4} - 300 T^{6} + 625 T^{8} )^{2} \))(\( ( 1 - 20 T^{2} + 208 T^{4} - 1472 T^{6} + 8170 T^{8} - 36800 T^{10} + 130000 T^{12} - 312500 T^{14} + 390625 T^{16} )^{2} \))(\( ( 1 - 4 T^{2} + 70 T^{4} - 196 T^{6} + 2306 T^{8} - 4900 T^{10} + 43750 T^{12} - 62500 T^{14} + 390625 T^{16} )^{2} \))(\( 1 + 2 T - T^{2} + 10 T^{3} + 25 T^{4} \))(\( 1 + 2 T - T^{2} + 10 T^{3} + 25 T^{4} \))(\( 1 - 2 T - T^{2} - 10 T^{3} + 25 T^{4} \))(\( 1 - 5 T^{2} + 25 T^{4} \))(\( 1 - 2 T - T^{2} - 10 T^{3} + 25 T^{4} \))(\( 1 - 2 T - T^{2} - 10 T^{3} + 25 T^{4} \))(\( 1 + 4 T + 11 T^{2} + 20 T^{3} + 25 T^{4} \))(\( 1 + 2 T - T^{2} + 10 T^{3} + 25 T^{4} \))(\( 1 + 4 T + 11 T^{2} + 20 T^{3} + 25 T^{4} \))(\( 1 - 4 T + 11 T^{2} - 20 T^{3} + 25 T^{4} \))(\( 1 - 5 T^{2} + 25 T^{4} \))(\( 1 - 2 T - T^{2} - 10 T^{3} + 25 T^{4} \))(\( 1 + 4 T + 4 T^{2} + 8 T^{3} + 39 T^{4} + 40 T^{5} + 100 T^{6} + 500 T^{7} + 625 T^{8} \))(\( 1 - 2 T - 2 T^{2} + 8 T^{3} - 9 T^{4} + 40 T^{5} - 50 T^{6} - 250 T^{7} + 625 T^{8} \))(\( ( 1 - 5 T^{2} + 25 T^{4} )^{2} \))(\( 1 + 8 T^{2} + 39 T^{4} + 200 T^{6} + 625 T^{8} \))(\( 1 + 2 T - 2 T^{2} - 8 T^{3} - 9 T^{4} - 40 T^{5} - 50 T^{6} + 250 T^{7} + 625 T^{8} \))(\( ( 1 - 5 T^{2} + 25 T^{4} )^{2} \))(\( 1 - 8 T^{2} + 39 T^{4} - 200 T^{6} + 625 T^{8} \))(\( ( 1 - 6 T + 17 T^{2} - 30 T^{3} + 25 T^{4} )( 1 + 6 T + 17 T^{2} + 30 T^{3} + 25 T^{4} ) \))(\( ( 1 - 6 T + 17 T^{2} - 30 T^{3} + 25 T^{4} )( 1 + 6 T + 17 T^{2} + 30 T^{3} + 25 T^{4} ) \))(\( 1 - 2 T + 12 T^{3} - 29 T^{4} + 60 T^{5} - 250 T^{7} + 625 T^{8} \))(\( ( 1 + 12 T^{2} + 66 T^{4} + 336 T^{6} + 1859 T^{8} + 8400 T^{10} + 41250 T^{12} + 187500 T^{14} + 390625 T^{16} )^{2} \))(\( ( 1 + 10 T^{2} + 46 T^{4} + 40 T^{6} - 209 T^{8} + 1000 T^{10} + 28750 T^{12} + 156250 T^{14} + 390625 T^{16} )^{2} \))(\( ( 1 - 6 T + 28 T^{2} - 96 T^{3} + 280 T^{4} - 792 T^{5} + 2128 T^{6} - 5490 T^{7} + 13015 T^{8} - 27450 T^{9} + 53200 T^{10} - 99000 T^{11} + 175000 T^{12} - 300000 T^{13} + 437500 T^{14} - 468750 T^{15} + 390625 T^{16} )^{2} \))
$7$ 1
$11$ (\( 1 + T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 + T \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + 14 T^{2} + 121 T^{4} )^{2} \))(\( ( 1 + 8 T + 20 T^{2} - 40 T^{3} - 362 T^{4} - 440 T^{5} + 2420 T^{6} + 10648 T^{7} + 14641 T^{8} )^{2} \))(\( ( 1 - 8 T + 34 T^{2} - 128 T^{3} + 450 T^{4} - 1408 T^{5} + 4114 T^{6} - 10648 T^{7} + 14641 T^{8} )^{2} \))(\( 1 + T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 + T + T^{2} \))(\( ( 1 + T + T^{2} )^{2} \))(\( ( 1 + T + T^{2} )^{2} \))(\( ( 1 - T + T^{2} )^{2} \))(\( ( 1 - T + T^{2} )^{2} \))(\( ( 1 + T + T^{2} )^{2} \))(\( ( 1 - T + T^{2} )^{2} \))(\( ( 1 - T + T^{2} )^{2} \))(\( ( 1 + T + T^{2} )^{2} \))(\( ( 1 + T + T^{2} )^{2} \))(\( ( 1 + T + T^{2} )^{2} \))(\( ( 1 - 14 T^{2} + 75 T^{4} - 1694 T^{6} + 14641 T^{8} )^{2} \))(\( ( 1 + 2 T + 2 T^{2} - 40 T^{3} - 161 T^{4} - 440 T^{5} + 242 T^{6} + 2662 T^{7} + 14641 T^{8} )^{2} \))(\( 1 - 8 T + 44 T^{2} - 240 T^{3} + 1082 T^{4} - 4552 T^{5} + 17200 T^{6} - 62088 T^{7} + 220771 T^{8} - 682968 T^{9} + 2081200 T^{10} - 6058712 T^{11} + 15841562 T^{12} - 38652240 T^{13} + 77948684 T^{14} - 155897368 T^{15} + 214358881 T^{16} \))
$13$ (\( 1 + T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 - T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 + T + 13 T^{2} \))(\( 1 - T + 13 T^{2} \))(\( 1 - 7 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 + 5 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 - 5 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 + 7 T + 13 T^{2} \))(\( ( 1 + 5 T + 13 T^{2} )^{2} \))(\( 1 - 6 T^{2} + 169 T^{4} \))(\( 1 + 8 T^{2} + 169 T^{4} \))(\( 1 + 18 T^{2} + 169 T^{4} \))(\( 1 + 18 T^{2} + 169 T^{4} \))(\( ( 1 - 5 T + 13 T^{2} )^{2} \))(\( 1 + 2 T + 19 T^{2} + 26 T^{3} + 169 T^{4} \))(\( ( 1 + 13 T^{2} )^{2} \))(\( 1 + 8 T^{2} + 169 T^{4} \))(\( 1 - 2 T + 22 T^{2} - 26 T^{3} + 169 T^{4} \))(\( 1 - 2 T + 19 T^{2} - 26 T^{3} + 169 T^{4} \))(\( ( 1 + 16 T^{2} + 240 T^{4} + 2704 T^{6} + 28561 T^{8} )^{2} \))(\( ( 1 + 60 T^{2} + 1810 T^{4} + 37104 T^{6} + 559467 T^{8} + 6270576 T^{10} + 51695410 T^{12} + 289608540 T^{14} + 815730721 T^{16} )^{2} \))(\( ( 1 + 16 T^{2} + 84 T^{4} + 2512 T^{6} + 70838 T^{8} + 424528 T^{10} + 2399124 T^{12} + 77228944 T^{14} + 815730721 T^{16} )^{2} \))(\( ( 1 + 2 T + 13 T^{2} )^{2} \))(\( ( 1 - 2 T + 13 T^{2} )^{2} \))(\( ( 1 + 2 T + 13 T^{2} )^{2} \))(\( ( 1 + 5 T + 13 T^{2} )^{2} \))(\( ( 1 - 2 T + 13 T^{2} )^{2} \))(\( ( 1 - 7 T + 13 T^{2} )^{2} \))(\( ( 1 - T + 13 T^{2} )^{2} \))(\( ( 1 + 4 T + 13 T^{2} )^{2} \))(\( ( 1 + 2 T + 13 T^{2} )^{2} \))(\( ( 1 - 2 T + 13 T^{2} )^{2} \))(\( ( 1 - T + 13 T^{2} )^{2} \))(\( ( 1 - 4 T + 13 T^{2} )^{2} \))(\( ( 1 - 2 T + 19 T^{2} - 26 T^{3} + 169 T^{4} )^{2} \))(\( ( 1 - 2 T + 22 T^{2} - 26 T^{3} + 169 T^{4} )^{2} \))(\( ( 1 + 8 T^{2} + 169 T^{4} )^{2} \))(\( ( 1 + 13 T^{2} )^{4} \))(\( ( 1 + 2 T + 22 T^{2} + 26 T^{3} + 169 T^{4} )^{2} \))(\( ( 1 + 18 T^{2} + 169 T^{4} )^{2} \))(\( ( 1 + 18 T^{2} + 169 T^{4} )^{2} \))(\( ( 1 + 8 T^{2} + 169 T^{4} )^{2} \))(\( ( 1 - 6 T^{2} + 169 T^{4} )^{2} \))(\( ( 1 + 5 T + 13 T^{2} )^{4} \))(\( ( 1 + 16 T^{2} + 240 T^{4} + 2704 T^{6} + 28561 T^{8} )^{4} \))(\( ( 1 + 42 T^{2} + 758 T^{4} + 7098 T^{6} + 28561 T^{8} )^{4} \))(\( ( 1 + 60 T^{2} + 1810 T^{4} + 37104 T^{6} + 559467 T^{8} + 6270576 T^{10} + 51695410 T^{12} + 289608540 T^{14} + 815730721 T^{16} )^{2} \))
$17$ (\( 1 - 2 T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 - 4 T + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( ( 1 + 6 T + 17 T^{2} )^{2} \))(\( 1 + 26 T^{2} + 289 T^{4} \))(\( 1 + 26 T^{2} + 289 T^{4} \))(\( 1 + 2 T^{2} + 289 T^{4} \))(\( 1 + 26 T^{2} + 289 T^{4} \))(\( ( 1 - 6 T + 17 T^{2} )^{2} \))(\( 1 + 4 T + 6 T^{2} + 68 T^{3} + 289 T^{4} \))(\( 1 + 2 T^{2} + 289 T^{4} \))(\( 1 + 26 T^{2} + 289 T^{4} \))(\( 1 - 4 T + 18 T^{2} - 68 T^{3} + 289 T^{4} \))(\( 1 - 4 T + 6 T^{2} - 68 T^{3} + 289 T^{4} \))(\( ( 1 + 17 T^{2} )^{8} \))(\( ( 1 + 44 T^{2} + 1060 T^{4} + 13076 T^{6} + 175606 T^{8} + 3778964 T^{10} + 88532260 T^{12} + 1062053036 T^{14} + 6975757441 T^{16} )^{2} \))(\( ( 1 - 12 T^{2} + 486 T^{4} - 9772 T^{6} + 117954 T^{8} - 2824108 T^{10} + 40591206 T^{12} - 289650828 T^{14} + 6975757441 T^{16} )^{2} \))(\( 1 - 17 T^{2} + 289 T^{4} \))(\( 1 + 2 T - 13 T^{2} + 34 T^{3} + 289 T^{4} \))(\( 1 - 2 T - 13 T^{2} - 34 T^{3} + 289 T^{4} \))(\( 1 - 6 T + 19 T^{2} - 102 T^{3} + 289 T^{4} \))(\( 1 - 17 T^{2} + 289 T^{4} \))(\( 1 - 2 T - 13 T^{2} - 34 T^{3} + 289 T^{4} \))(\( 1 - 2 T - 13 T^{2} - 34 T^{3} + 289 T^{4} \))(\( 1 - 17 T^{2} + 289 T^{4} \))(\( 1 + 4 T - T^{2} + 68 T^{3} + 289 T^{4} \))(\( 1 - 4 T - T^{2} - 68 T^{3} + 289 T^{4} \))(\( 1 + 6 T + 19 T^{2} + 102 T^{3} + 289 T^{4} \))(\( 1 - 17 T^{2} + 289 T^{4} \))(\( 1 + 4 T + 10 T^{2} - 112 T^{3} - 525 T^{4} - 1904 T^{5} + 2890 T^{6} + 19652 T^{7} + 83521 T^{8} \))(\( 1 + 4 T - 2 T^{2} - 64 T^{3} - 237 T^{4} - 1088 T^{5} - 578 T^{6} + 19652 T^{7} + 83521 T^{8} \))(\( 1 - 26 T^{2} + 387 T^{4} - 7514 T^{6} + 83521 T^{8} \))(\( 1 - 2 T^{2} - 285 T^{4} - 578 T^{6} + 83521 T^{8} \))(\( 1 - 4 T - 2 T^{2} + 64 T^{3} - 237 T^{4} + 1088 T^{5} - 578 T^{6} - 19652 T^{7} + 83521 T^{8} \))(\( 1 - 26 T^{2} + 387 T^{4} - 7514 T^{6} + 83521 T^{8} \))(\( 1 - 2 T^{2} - 285 T^{4} - 578 T^{6} + 83521 T^{8} \))(\( 1 - 26 T^{2} + 387 T^{4} - 7514 T^{6} + 83521 T^{8} \))(\( 1 - 26 T^{2} + 387 T^{4} - 7514 T^{6} + 83521 T^{8} \))(\( ( 1 - 6 T + 19 T^{2} - 102 T^{3} + 289 T^{4} )^{2} \))(\( ( 1 - 17 T^{2} + 289 T^{4} )^{8} \))(\( ( 1 - 20 T^{2} + 111 T^{4} - 5780 T^{6} + 83521 T^{8} )^{4} \))(\( 1 - 44 T^{2} + 876 T^{4} - 20488 T^{6} + 372650 T^{8} - 2186196 T^{10} - 4370480 T^{12} + 757707148 T^{14} - 25935551901 T^{16} + 218977365772 T^{18} - 365026860080 T^{20} - 52769456797524 T^{22} + 2599516010388650 T^{24} - 41303683032399112 T^{26} + 510377079813270636 T^{28} - 7408624368613640876 T^{30} + 48661191875666868481 T^{32} \))
$19$ (\( 1 - 6 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 + 2 T + 19 T^{2} \))(\( 1 - 6 T + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 + 6 T + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 + 2 T + 19 T^{2} \))(\( 1 + 2 T + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 - 6 T + 40 T^{2} - 114 T^{3} + 361 T^{4} \))(\( 1 - 34 T^{2} + 361 T^{4} \))(\( 1 + 36 T^{2} + 361 T^{4} \))(\( 1 + 30 T^{2} + 361 T^{4} \))(\( 1 + 6 T^{2} + 361 T^{4} \))(\( 1 + 6 T + 40 T^{2} + 114 T^{3} + 361 T^{4} \))(\( 1 + 4 T + 40 T^{2} + 76 T^{3} + 361 T^{4} \))(\( ( 1 + 19 T^{2} )^{2} \))(\( 1 + 20 T^{2} + 361 T^{4} \))(\( 1 - 10 T + 58 T^{2} - 190 T^{3} + 361 T^{4} \))(\( 1 - 4 T + 40 T^{2} - 76 T^{3} + 361 T^{4} \))(\( ( 1 + 40 T^{2} + 960 T^{4} + 14440 T^{6} + 130321 T^{8} )^{2} \))(\( ( 1 + 72 T^{2} + 2260 T^{4} + 47412 T^{6} + 896994 T^{8} + 17115732 T^{10} + 294525460 T^{12} + 3387303432 T^{14} + 16983563041 T^{16} )^{2} \))(\( ( 1 + 60 T^{2} + 1806 T^{4} + 48748 T^{6} + 1112226 T^{8} + 17598028 T^{10} + 235359726 T^{12} + 2822752860 T^{14} + 16983563041 T^{16} )^{2} \))(\( 1 + 2 T - 15 T^{2} + 38 T^{3} + 361 T^{4} \))(\( 1 - 19 T^{2} + 361 T^{4} \))(\( 1 - 19 T^{2} + 361 T^{4} \))(\( 1 - 2 T - 15 T^{2} - 38 T^{3} + 361 T^{4} \))(\( 1 - 2 T - 15 T^{2} - 38 T^{3} + 361 T^{4} \))(\( 1 - 19 T^{2} + 361 T^{4} \))(\( 1 - 6 T + 17 T^{2} - 114 T^{3} + 361 T^{4} \))(\( 1 + 4 T - 3 T^{2} + 76 T^{3} + 361 T^{4} \))(\( 1 + 6 T + 17 T^{2} + 114 T^{3} + 361 T^{4} \))(\( 1 - 6 T + 17 T^{2} - 114 T^{3} + 361 T^{4} \))(\( 1 - 2 T - 15 T^{2} - 38 T^{3} + 361 T^{4} \))(\( 1 - 4 T - 3 T^{2} - 76 T^{3} + 361 T^{4} \))(\( 1 + 4 T - 24 T^{2} + 8 T^{3} + 935 T^{4} + 152 T^{5} - 8664 T^{6} + 27436 T^{7} + 130321 T^{8} \))(\( 1 + 10 T + 42 T^{2} + 200 T^{3} + 1103 T^{4} + 3800 T^{5} + 15162 T^{6} + 68590 T^{7} + 130321 T^{8} \))(\( 1 - 20 T^{2} + 39 T^{4} - 7220 T^{6} + 130321 T^{8} \))(\( ( 1 - 19 T^{2} + 361 T^{4} )^{2} \))(\( 1 - 10 T + 42 T^{2} - 200 T^{3} + 1103 T^{4} - 3800 T^{5} + 15162 T^{6} - 68590 T^{7} + 130321 T^{8} \))(\( 1 - 6 T^{2} - 325 T^{4} - 2166 T^{6} + 130321 T^{8} \))(\( 1 - 30 T^{2} + 539 T^{4} - 10830 T^{6} + 130321 T^{8} \))(\( 1 - 36 T^{2} + 935 T^{4} - 12996 T^{6} + 130321 T^{8} \))(\( 1 + 34 T^{2} + 795 T^{4} + 12274 T^{6} + 130321 T^{8} \))(\( 1 + 6 T - 4 T^{2} + 12 T^{3} + 555 T^{4} + 228 T^{5} - 1444 T^{6} + 41154 T^{7} + 130321 T^{8} \))(\( ( 1 - 40 T^{2} + 640 T^{4} - 9520 T^{6} + 213679 T^{8} - 3436720 T^{10} + 83405440 T^{12} - 1881835240 T^{14} + 16983563041 T^{16} )^{2} \))(\( ( 1 - 42 T^{2} + 790 T^{4} - 10584 T^{6} + 181551 T^{8} - 3820824 T^{10} + 102953590 T^{12} - 1975927002 T^{14} + 16983563041 T^{16} )^{2} \))(\( 1 - 72 T^{2} + 2924 T^{4} - 67896 T^{6} + 796942 T^{8} + 4900284 T^{10} - 422590480 T^{12} + 10241692560 T^{14} - 201732257981 T^{16} + 3697251014160 T^{18} - 55072413944080 T^{20} + 230538177930204 T^{22} + 13534914697020622 T^{24} - 416274874639656696 T^{26} + 6471732823349454764 T^{28} - 57528481376367656712 T^{30} + \)\(28\!\cdots\!81\)\( T^{32} \))
$23$ (\( 1 + 2 T + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 + 2 T + 23 T^{2} \))(\( 1 + 8 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 - 6 T + 23 T^{2} \))(\( 1 + 8 T + 23 T^{2} \))(\( 1 - 6 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 8 T + 23 T^{2} \))(\( 1 + 2 T + 40 T^{2} + 46 T^{3} + 529 T^{4} \))(\( ( 1 + 8 T + 23 T^{2} )^{2} \))(\( ( 1 - 6 T + 23 T^{2} )^{2} \))(\( ( 1 + 2 T + 23 T^{2} )^{2} \))(\( ( 1 - 8 T + 23 T^{2} )^{2} \))(\( 1 + 2 T + 40 T^{2} + 46 T^{3} + 529 T^{4} \))(\( 1 + 4 T + 32 T^{2} + 92 T^{3} + 529 T^{4} \))(\( ( 1 - 6 T + 23 T^{2} )^{2} \))(\( ( 1 - 6 T + 23 T^{2} )^{2} \))(\( ( 1 - 4 T + 23 T^{2} )^{2} \))(\( 1 + 4 T + 32 T^{2} + 92 T^{3} + 529 T^{4} \))(\( ( 1 - 4 T + 32 T^{2} - 92 T^{3} + 529 T^{4} )^{4} \))(\( ( 1 + 8 T + 86 T^{2} + 518 T^{3} + 2884 T^{4} + 11914 T^{5} + 45494 T^{6} + 97336 T^{7} + 279841 T^{8} )^{4} \))(\( ( 1 + 4 T + 54 T^{2} + 84 T^{3} + 1282 T^{4} + 1932 T^{5} + 28566 T^{6} + 48668 T^{7} + 279841 T^{8} )^{4} \))(\( 1 - 23 T^{2} + 529 T^{4} \))(\( 1 - 8 T + 41 T^{2} - 184 T^{3} + 529 T^{4} \))(\( 1 - 8 T + 41 T^{2} - 184 T^{3} + 529 T^{4} \))(\( 1 + 6 T + 13 T^{2} + 138 T^{3} + 529 T^{4} \))(\( 1 - 23 T^{2} + 529 T^{4} \))(\( 1 - 8 T + 41 T^{2} - 184 T^{3} + 529 T^{4} \))(\( 1 - 2 T - 19 T^{2} - 46 T^{3} + 529 T^{4} \))(\( 1 + 4 T - 7 T^{2} + 92 T^{3} + 529 T^{4} \))(\( 1 + 4 T - 7 T^{2} + 92 T^{3} + 529 T^{4} \))(\( 1 + 4 T - 7 T^{2} + 92 T^{3} + 529 T^{4} \))(\( 1 - 6 T + 13 T^{2} - 138 T^{3} + 529 T^{4} \))(\( 1 + 4 T - 7 T^{2} + 92 T^{3} + 529 T^{4} \))(\( 1 - 4 T - 16 T^{2} + 56 T^{3} + 127 T^{4} + 1288 T^{5} - 8464 T^{6} - 48668 T^{7} + 279841 T^{8} \))(\( ( 1 + 4 T - 7 T^{2} + 92 T^{3} + 529 T^{4} )^{2} \))(\( ( 1 + 6 T + 13 T^{2} + 138 T^{3} + 529 T^{4} )^{2} \))(\( ( 1 + 6 T + 13 T^{2} + 138 T^{3} + 529 T^{4} )^{2} \))(\( ( 1 + 4 T - 7 T^{2} + 92 T^{3} + 529 T^{4} )^{2} \))(\( ( 1 + 8 T + 41 T^{2} + 184 T^{3} + 529 T^{4} )^{2} \))(\( ( 1 - 2 T - 19 T^{2} - 46 T^{3} + 529 T^{4} )^{2} \))(\( ( 1 + 6 T + 13 T^{2} + 138 T^{3} + 529 T^{4} )^{2} \))(\( ( 1 - 8 T + 41 T^{2} - 184 T^{3} + 529 T^{4} )^{2} \))(\( 1 - 2 T - 36 T^{2} + 12 T^{3} + 979 T^{4} + 276 T^{5} - 19044 T^{6} - 24334 T^{7} + 279841 T^{8} \))(\( ( 1 + 4 T - 16 T^{2} - 56 T^{3} + 127 T^{4} - 1288 T^{5} - 8464 T^{6} + 48668 T^{7} + 279841 T^{8} )^{4} \))(\( ( 1 + 4 T - 7 T^{2} + 92 T^{3} + 529 T^{4} )^{8} \))(\( ( 1 - 8 T - 22 T^{2} + 348 T^{3} + 368 T^{4} - 10318 T^{5} + 15976 T^{6} + 94008 T^{7} - 488945 T^{8} + 2162184 T^{9} + 8451304 T^{10} - 125539106 T^{11} + 102981488 T^{12} + 2239847364 T^{13} - 3256789558 T^{14} - 27238603576 T^{15} + 78310985281 T^{16} )^{2} \))
$29$ (\( 1 - T + 29 T^{2} \))(\( 1 - 2 T + 29 T^{2} \))(\( 1 - 9 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 - 9 T + 29 T^{2} \))(\( 1 - T + 29 T^{2} \))(\( 1 + 5 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 - 3 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 - 3 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 5 T + 29 T^{2} \))(\( 1 - 2 T + 31 T^{2} - 58 T^{3} + 841 T^{4} \))(\( ( 1 + 6 T + 29 T^{2} )^{2} \))(\( ( 1 - 8 T + 29 T^{2} )^{2} \))(\( ( 1 + 6 T + 29 T^{2} )^{2} \))(\( ( 1 - 2 T + 29 T^{2} )^{2} \))(\( 1 - 2 T + 31 T^{2} - 58 T^{3} + 841 T^{4} \))(\( 1 + 6 T + 35 T^{2} + 174 T^{3} + 841 T^{4} \))(\( ( 1 - 2 T + 29 T^{2} )^{2} \))(\( ( 1 + 4 T + 29 T^{2} )^{2} \))(\( 1 + 38 T^{2} + 841 T^{4} \))(\( 1 + 6 T + 35 T^{2} + 174 T^{3} + 841 T^{4} \))(\( ( 1 - 8 T^{2} - 894 T^{4} - 6728 T^{6} + 707281 T^{8} )^{2} \))(\( ( 1 - 196 T^{2} + 17650 T^{4} - 953200 T^{6} + 33744235 T^{8} - 801641200 T^{10} + 12483509650 T^{12} - 116585370916 T^{14} + 500246412961 T^{16} )^{2} \))(\( ( 1 - 48 T^{2} + 2300 T^{4} - 86352 T^{6} + 2398374 T^{8} - 72622032 T^{10} + 1626746300 T^{12} - 28551519408 T^{14} + 500246412961 T^{16} )^{2} \))(\( ( 1 - 6 T + 29 T^{2} )^{2} \))(\( ( 1 + 2 T + 29 T^{2} )^{2} \))(\( ( 1 + 2 T + 29 T^{2} )^{2} \))(\( ( 1 - 3 T + 29 T^{2} )^{2} \))(\( ( 1 - 6 T + 29 T^{2} )^{2} \))(\( ( 1 + 5 T + 29 T^{2} )^{2} \))(\( ( 1 - T + 29 T^{2} )^{2} \))(\( ( 1 - 2 T + 29 T^{2} )^{2} \))(\( ( 1 + 2 T + 29 T^{2} )^{2} \))(\( ( 1 + 2 T + 29 T^{2} )^{2} \))(\( ( 1 - 9 T + 29 T^{2} )^{2} \))(\( ( 1 - 2 T + 29 T^{2} )^{2} \))(\( ( 1 + 6 T + 35 T^{2} + 174 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 + 38 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 + 4 T + 29 T^{2} )^{4} \))(\( ( 1 - 2 T + 29 T^{2} )^{4} \))(\( ( 1 + 38 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 - 2 T + 29 T^{2} )^{4} \))(\( ( 1 + 6 T + 29 T^{2} )^{4} \))(\( ( 1 - 8 T + 29 T^{2} )^{4} \))(\( ( 1 + 6 T + 29 T^{2} )^{4} \))(\( ( 1 - 2 T + 31 T^{2} - 58 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 - 8 T^{2} - 894 T^{4} - 6728 T^{6} + 707281 T^{8} )^{4} \))(\( ( 1 - 56 T^{2} + 1710 T^{4} - 47096 T^{6} + 707281 T^{8} )^{4} \))(\( ( 1 - 196 T^{2} + 17650 T^{4} - 953200 T^{6} + 33744235 T^{8} - 801641200 T^{10} + 12483509650 T^{12} - 116585370916 T^{14} + 500246412961 T^{16} )^{2} \))
$31$ (\( 1 - 4 T + 31 T^{2} \))(\( 1 - 10 T + 31 T^{2} \))(\( 1 - 4 T + 31 T^{2} \))(\( 1 - 2 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 - 4 T + 31 T^{2} \))(\( 1 + 8 T + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 - 4 T + 31 T^{2} \))(\( ( 1 - 4 T + 31 T^{2} )^{2} \))(\( 1 - 10 T^{2} + 961 T^{4} \))(\( 1 + 60 T^{2} + 961 T^{4} \))(\( 1 + 60 T^{2} + 961 T^{4} \))(\( 1 - 10 T^{2} + 961 T^{4} \))(\( ( 1 + 4 T + 31 T^{2} )^{2} \))(\( ( 1 + 4 T + 31 T^{2} )^{2} \))(\( 1 + 60 T^{2} + 961 T^{4} \))(\( 1 + 12 T^{2} + 961 T^{4} \))(\( ( 1 + 2 T + 31 T^{2} )^{2} \))(\( ( 1 - 4 T + 31 T^{2} )^{2} \))(\( ( 1 - 72 T^{2} + 2640 T^{4} - 69192 T^{6} + 923521 T^{8} )^{2} \))(\( ( 1 - 84 T^{2} + 3604 T^{4} - 156396 T^{6} + 5930646 T^{8} - 150296556 T^{10} + 3328369684 T^{12} - 74550309204 T^{14} + 852891037441 T^{16} )^{2} \))(\( ( 1 - 116 T^{2} + 7990 T^{4} - 378596 T^{6} + 13503266 T^{8} - 363830756 T^{10} + 7378932790 T^{12} - 102950426996 T^{14} + 852891037441 T^{16} )^{2} \))(\( ( 1 - 11 T + 31 T^{2} )( 1 + 7 T + 31 T^{2} ) \))(\( 1 - 8 T + 33 T^{2} - 248 T^{3} + 961 T^{4} \))(\( 1 + 8 T + 33 T^{2} + 248 T^{3} + 961 T^{4} \))(\( 1 - 8 T + 33 T^{2} - 248 T^{3} + 961 T^{4} \))(\( ( 1 - 7 T + 31 T^{2} )( 1 + 11 T + 31 T^{2} ) \))(\( ( 1 - 11 T + 31 T^{2} )( 1 + 7 T + 31 T^{2} ) \))(\( ( 1 - 11 T + 31 T^{2} )( 1 + 7 T + 31 T^{2} ) \))(\( 1 - 10 T + 69 T^{2} - 310 T^{3} + 961 T^{4} \))(\( 1 + 2 T - 27 T^{2} + 62 T^{3} + 961 T^{4} \))(\( 1 - 2 T - 27 T^{2} - 62 T^{3} + 961 T^{4} \))(\( ( 1 - 7 T + 31 T^{2} )( 1 + 11 T + 31 T^{2} ) \))(\( 1 + 10 T + 69 T^{2} + 310 T^{3} + 961 T^{4} \))(\( ( 1 - 7 T + 31 T^{2} )^{2}( 1 + 11 T + 31 T^{2} )^{2} \))(\( ( 1 - 2 T - 27 T^{2} - 62 T^{3} + 961 T^{4} )^{2} \))(\( 1 - 12 T^{2} - 817 T^{4} - 11532 T^{6} + 923521 T^{8} \))(\( 1 - 60 T^{2} + 2639 T^{4} - 57660 T^{6} + 923521 T^{8} \))(\( ( 1 + 2 T - 27 T^{2} + 62 T^{3} + 961 T^{4} )^{2} \))(\( 1 + 10 T^{2} - 861 T^{4} + 9610 T^{6} + 923521 T^{8} \))(\( 1 - 60 T^{2} + 2639 T^{4} - 57660 T^{6} + 923521 T^{8} \))(\( 1 - 60 T^{2} + 2639 T^{4} - 57660 T^{6} + 923521 T^{8} \))(\( 1 + 10 T^{2} - 861 T^{4} + 9610 T^{6} + 923521 T^{8} \))(\( ( 1 - 7 T + 31 T^{2} )^{2}( 1 + 11 T + 31 T^{2} )^{2} \))(\( ( 1 + 72 T^{2} + 2544 T^{4} + 51696 T^{6} + 1064255 T^{8} + 49679856 T^{10} + 2349437424 T^{12} + 63900265032 T^{14} + 852891037441 T^{16} )^{2} \))(\( ( 1 + 48 T^{2} + 1150 T^{4} - 36864 T^{6} - 1805949 T^{8} - 35426304 T^{10} + 1062049150 T^{12} + 42600176688 T^{14} + 852891037441 T^{16} )^{2} \))(\( ( 1 - 6 T + 60 T^{2} - 288 T^{3} + 1654 T^{4} - 2958 T^{5} - 45048 T^{6} + 281862 T^{7} - 2543793 T^{8} + 8737722 T^{9} - 43291128 T^{10} - 88121778 T^{11} + 1527503734 T^{12} - 8245195488 T^{13} + 53250220860 T^{14} - 165075684666 T^{15} + 852891037441 T^{16} )^{2} \))
$37$ (\( 1 + 2 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 - 10 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 - 4 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 - 4 T + 37 T^{2} \))(\( 1 - 2 T + 68 T^{2} - 74 T^{3} + 1369 T^{4} \))(\( ( 1 + 6 T + 37 T^{2} )^{2} \))(\( ( 1 + 6 T + 37 T^{2} )^{2} \))(\( ( 1 + 2 T + 37 T^{2} )^{2} \))(\( ( 1 - 2 T + 37 T^{2} )^{2} \))(\( 1 - 2 T + 68 T^{2} - 74 T^{3} + 1369 T^{4} \))(\( 1 + 16 T + 136 T^{2} + 592 T^{3} + 1369 T^{4} \))(\( ( 1 + 10 T + 37 T^{2} )^{2} \))(\( ( 1 - 2 T + 37 T^{2} )^{2} \))(\( 1 + 4 T - 2 T^{2} + 148 T^{3} + 1369 T^{4} \))(\( 1 + 16 T + 136 T^{2} + 592 T^{3} + 1369 T^{4} \))(\( ( 1 - 6 T + 37 T^{2} )^{8} \))(\( ( 1 - 8 T + 160 T^{2} - 890 T^{3} + 9100 T^{4} - 32930 T^{5} + 219040 T^{6} - 405224 T^{7} + 1874161 T^{8} )^{4} \))(\( ( 1 + 20 T + 216 T^{2} + 1644 T^{3} + 10654 T^{4} + 60828 T^{5} + 295704 T^{6} + 1013060 T^{7} + 1874161 T^{8} )^{4} \))(\( 1 + 2 T - 33 T^{2} + 74 T^{3} + 1369 T^{4} \))(\( 1 - 2 T - 33 T^{2} - 74 T^{3} + 1369 T^{4} \))(\( 1 - 2 T - 33 T^{2} - 74 T^{3} + 1369 T^{4} \))(\( 1 + 2 T - 33 T^{2} + 74 T^{3} + 1369 T^{4} \))(\( 1 + 2 T - 33 T^{2} + 74 T^{3} + 1369 T^{4} \))(\( 1 + 4 T - 21 T^{2} + 148 T^{3} + 1369 T^{4} \))(\( 1 - 2 T - 33 T^{2} - 74 T^{3} + 1369 T^{4} \))(\( 1 - 6 T - T^{2} - 222 T^{3} + 1369 T^{4} \))(\( ( 1 - T + 37 T^{2} )( 1 + 11 T + 37 T^{2} ) \))(\( ( 1 - T + 37 T^{2} )( 1 + 11 T + 37 T^{2} ) \))(\( 1 + 2 T - 33 T^{2} + 74 T^{3} + 1369 T^{4} \))(\( 1 - 6 T - T^{2} - 222 T^{3} + 1369 T^{4} \))(\( 1 - 16 T + 120 T^{2} - 992 T^{3} + 7655 T^{4} - 36704 T^{5} + 164280 T^{6} - 810448 T^{7} + 1874161 T^{8} \))(\( 1 - 4 T + 18 T^{2} + 304 T^{3} - 1957 T^{4} + 11248 T^{5} + 24642 T^{6} - 202612 T^{7} + 1874161 T^{8} \))(\( ( 1 + 2 T - 33 T^{2} + 74 T^{3} + 1369 T^{4} )^{2} \))(\( ( 1 - 11 T + 37 T^{2} )^{2}( 1 + T + 37 T^{2} )^{2} \))(\( 1 - 4 T + 18 T^{2} + 304 T^{3} - 1957 T^{4} + 11248 T^{5} + 24642 T^{6} - 202612 T^{7} + 1874161 T^{8} \))(\( ( 1 + 2 T - 33 T^{2} + 74 T^{3} + 1369 T^{4} )^{2} \))(\( ( 1 - 2 T - 33 T^{2} - 74 T^{3} + 1369 T^{4} )^{2} \))(\( ( 1 - 6 T - T^{2} - 222 T^{3} + 1369 T^{4} )^{2} \))(\( ( 1 - 6 T - T^{2} - 222 T^{3} + 1369 T^{4} )^{2} \))(\( 1 + 2 T - 64 T^{2} - 12 T^{3} + 3107 T^{4} - 444 T^{5} - 87616 T^{6} + 101306 T^{7} + 1874161 T^{8} \))(\( ( 1 + 6 T - T^{2} + 222 T^{3} + 1369 T^{4} )^{8} \))(\( ( 1 - 2 T - 50 T^{2} + 40 T^{3} + 1399 T^{4} + 1480 T^{5} - 68450 T^{6} - 101306 T^{7} + 1874161 T^{8} )^{4} \))(\( ( 1 + 8 T - 96 T^{2} - 500 T^{3} + 9380 T^{4} + 29730 T^{5} - 489260 T^{6} - 281056 T^{7} + 23065323 T^{8} - 10399072 T^{9} - 669796940 T^{10} + 1505913690 T^{11} + 17579630180 T^{12} - 34671978500 T^{13} - 246309735264 T^{14} + 759455017064 T^{15} + 3512479453921 T^{16} )^{2} \))
$41$ (\( 1 + 2 T + 41 T^{2} \))(\( 1 + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 + 4 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 + 4 T + 41 T^{2} \))(\( 1 - 8 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 + 10 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 + 8 T + 41 T^{2} \))(\( 1 - 4 T + 41 T^{2} \))(\( 1 + 6 T + 28 T^{2} + 246 T^{3} + 1681 T^{4} \))(\( 1 + 10 T^{2} + 1681 T^{4} \))(\( 1 + 10 T^{2} + 1681 T^{4} \))(\( 1 + 50 T^{2} + 1681 T^{4} \))(\( 1 + 74 T^{2} + 1681 T^{4} \))(\( 1 - 6 T + 28 T^{2} - 246 T^{3} + 1681 T^{4} \))(\( 1 + 8 T + 96 T^{2} + 328 T^{3} + 1681 T^{4} \))(\( 1 - 46 T^{2} + 1681 T^{4} \))(\( 1 + 74 T^{2} + 1681 T^{4} \))(\( 1 + 4 T + 66 T^{2} + 164 T^{3} + 1681 T^{4} \))(\( 1 - 8 T + 96 T^{2} - 328 T^{3} + 1681 T^{4} \))(\( ( 1 + 20 T^{2} + 870 T^{4} + 33620 T^{6} + 2825761 T^{8} )^{2} \))(\( ( 1 + 128 T^{2} + 10456 T^{4} + 593396 T^{6} + 27172090 T^{8} + 997498676 T^{10} + 29546157016 T^{12} + 608013342848 T^{14} + 7984925229121 T^{16} )^{2} \))(\( ( 1 + 260 T^{2} + 31398 T^{4} + 2313572 T^{6} + 114345410 T^{8} + 3889114532 T^{10} + 88723243878 T^{12} + 1235027102660 T^{14} + 7984925229121 T^{16} )^{2} \))(\( ( 1 + 8 T + 41 T^{2} )^{2} \))(\( ( 1 - 10 T + 41 T^{2} )^{2} \))(\( ( 1 + 10 T + 41 T^{2} )^{2} \))(\( ( 1 - 6 T + 41 T^{2} )^{2} \))(\( ( 1 - 8 T + 41 T^{2} )^{2} \))(\( ( 1 + 4 T + 41 T^{2} )^{2} \))(\( ( 1 - 2 T + 41 T^{2} )^{2} \))(\( ( 1 + 41 T^{2} )^{2} \))(\( ( 1 + 4 T + 41 T^{2} )^{2} \))(\( ( 1 - 4 T + 41 T^{2} )^{2} \))(\( ( 1 - 6 T + 41 T^{2} )^{2} \))(\( ( 1 + 41 T^{2} )^{2} \))(\( ( 1 - 8 T + 96 T^{2} - 328 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 + 4 T + 66 T^{2} + 164 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 + 74 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 - 46 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 - 4 T + 66 T^{2} - 164 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 + 74 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 + 50 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 + 10 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 + 10 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 + 6 T + 28 T^{2} + 246 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 + 20 T^{2} + 870 T^{4} + 33620 T^{6} + 2825761 T^{8} )^{4} \))(\( ( 1 + 40 T^{2} + 2418 T^{4} + 67240 T^{6} + 2825761 T^{8} )^{4} \))(\( ( 1 + 128 T^{2} + 10456 T^{4} + 593396 T^{6} + 27172090 T^{8} + 997498676 T^{10} + 29546157016 T^{12} + 608013342848 T^{14} + 7984925229121 T^{16} )^{2} \))
$43$ (\( 1 - 4 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( 1 - 12 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 - 12 T + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( ( 1 + 4 T + 43 T^{2} )^{2} \))(\( ( 1 + 4 T + 43 T^{2} )^{2} \))(\( ( 1 - 10 T + 43 T^{2} )^{2} \))(\( ( 1 - 4 T + 43 T^{2} )^{2} \))(\( ( 1 + 4 T + 43 T^{2} )^{2} \))(\( ( 1 + 4 T + 43 T^{2} )^{2} \))(\( 1 + 54 T^{2} + 1849 T^{4} \))(\( ( 1 + 8 T + 43 T^{2} )^{2} \))(\( ( 1 - 10 T + 43 T^{2} )^{2} \))(\( 1 + 12 T + 102 T^{2} + 516 T^{3} + 1849 T^{4} \))(\( 1 + 54 T^{2} + 1849 T^{4} \))(\( ( 1 - 68 T^{2} + 1849 T^{4} )^{4} \))(\( ( 1 - 100 T^{2} + 8356 T^{4} - 517756 T^{6} + 23891542 T^{8} - 957330844 T^{10} + 28567501156 T^{12} - 632136304900 T^{14} + 11688200277601 T^{16} )^{2} \))(\( ( 1 - 212 T^{2} + 23336 T^{4} - 1672476 T^{6} + 84829678 T^{8} - 3092408124 T^{10} + 79781140136 T^{12} - 1340128966388 T^{14} + 11688200277601 T^{16} )^{2} \))(\( ( 1 - 12 T + 43 T^{2} )^{2} \))(\( ( 1 - 4 T + 43 T^{2} )^{2} \))(\( ( 1 - 4 T + 43 T^{2} )^{2} \))(\( ( 1 + 4 T + 43 T^{2} )^{2} \))(\( ( 1 - 12 T + 43 T^{2} )^{2} \))(\( ( 1 + 8 T + 43 T^{2} )^{2} \))(\( ( 1 - 4 T + 43 T^{2} )^{2} \))(\( ( 1 + 4 T + 43 T^{2} )^{2} \))(\( ( 1 + 8 T + 43 T^{2} )^{2} \))(\( ( 1 + 8 T + 43 T^{2} )^{2} \))(\( ( 1 + 4 T + 43 T^{2} )^{2} \))(\( ( 1 + 4 T + 43 T^{2} )^{2} \))(\( ( 1 + 54 T^{2} + 1849 T^{4} )^{2} \))(\( ( 1 + 12 T + 102 T^{2} + 516 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 - 10 T + 43 T^{2} )^{4} \))(\( ( 1 + 8 T + 43 T^{2} )^{4} \))(\( ( 1 + 12 T + 102 T^{2} + 516 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 + 4 T + 43 T^{2} )^{4} \))(\( ( 1 - 4 T + 43 T^{2} )^{4} \))(\( ( 1 - 10 T + 43 T^{2} )^{4} \))(\( ( 1 + 4 T + 43 T^{2} )^{4} \))(\( ( 1 + 4 T + 43 T^{2} )^{4} \))(\( ( 1 - 68 T^{2} + 1849 T^{4} )^{8} \))(\( ( 1 + 4 T^{2} + 2358 T^{4} + 7396 T^{6} + 3418801 T^{8} )^{4} \))(\( ( 1 - 100 T^{2} + 8356 T^{4} - 517756 T^{6} + 23891542 T^{8} - 957330844 T^{10} + 28567501156 T^{12} - 632136304900 T^{14} + 11688200277601 T^{16} )^{2} \))
$47$ (\( 1 - 2 T + 47 T^{2} \))(\( 1 + 10 T + 47 T^{2} \))(\( 1 - 6 T + 47 T^{2} \))(\( 1 + 2 T + 47 T^{2} \))(\( 1 + 6 T + 47 T^{2} \))(\( 1 + 2 T + 47 T^{2} \))(\( 1 + 2 T + 47 T^{2} \))(\( 1 - 12 T + 47 T^{2} \))(\( 1 + 6 T + 47 T^{2} \))(\( 1 + 8 T + 47 T^{2} \))(\( 1 - 6 T + 47 T^{2} \))(\( 1 + 12 T + 47 T^{2} \))(\( 1 - 2 T + 47 T^{2} \))(\( 1 + 16 T + 130 T^{2} + 752 T^{3} + 2209 T^{4} \))(\( 1 + 86 T^{2} + 2209 T^{4} \))(\( 1 + 44 T^{2} + 2209 T^{4} \))(\( 1 + 76 T^{2} + 2209 T^{4} \))(\( 1 + 86 T^{2} + 2209 T^{4} \))(\( 1 - 16 T + 130 T^{2} - 752 T^{3} + 2209 T^{4} \))(\( 1 + 4 T + 26 T^{2} + 188 T^{3} + 2209 T^{4} \))(\( 1 + 76 T^{2} + 2209 T^{4} \))(\( 1 - 68 T^{2} + 2209 T^{4} \))(\( ( 1 - 2 T + 47 T^{2} )^{2} \))(\( 1 - 4 T + 26 T^{2} - 188 T^{3} + 2209 T^{4} \))(\( ( 1 - 120 T^{2} + 7920 T^{4} - 265080 T^{6} + 4879681 T^{8} )^{2} \))(\( ( 1 - 296 T^{2} + 41212 T^{4} - 3509912 T^{6} + 199565062 T^{8} - 7753395608 T^{10} + 201101413372 T^{12} - 3190647737384 T^{14} + 23811286661761 T^{16} )^{2} \))(\( ( 1 - 324 T^{2} + 47862 T^{4} - 4216212 T^{6} + 242387618 T^{8} - 9313612308 T^{10} + 233551292022 T^{12} - 3492465766596 T^{14} + 23811286661761 T^{16} )^{2} \))(\( 1 - 12 T + 97 T^{2} - 564 T^{3} + 2209 T^{4} \))(\( 1 + 8 T + 17 T^{2} + 376 T^{3} + 2209 T^{4} \))(\( 1 - 8 T + 17 T^{2} - 376 T^{3} + 2209 T^{4} \))(\( 1 - 6 T - 11 T^{2} - 282 T^{3} + 2209 T^{4} \))(\( 1 + 12 T + 97 T^{2} + 564 T^{3} + 2209 T^{4} \))(\( 1 - 2 T - 43 T^{2} - 94 T^{3} + 2209 T^{4} \))(\( 1 - 2 T - 43 T^{2} - 94 T^{3} + 2209 T^{4} \))(\( 1 + 10 T + 53 T^{2} + 470 T^{3} + 2209 T^{4} \))(\( 1 - 2 T - 43 T^{2} - 94 T^{3} + 2209 T^{4} \))(\( 1 + 2 T - 43 T^{2} + 94 T^{3} + 2209 T^{4} \))(\( 1 + 6 T - 11 T^{2} + 282 T^{3} + 2209 T^{4} \))(\( 1 - 10 T + 53 T^{2} - 470 T^{3} + 2209 T^{4} \))(\( 1 + 4 T - 10 T^{2} - 272 T^{3} - 2285 T^{4} - 12784 T^{5} - 22090 T^{6} + 415292 T^{7} + 4879681 T^{8} \))(\( ( 1 + 2 T - 43 T^{2} + 94 T^{3} + 2209 T^{4} )^{2} \))(\( 1 + 68 T^{2} + 2415 T^{4} + 150212 T^{6} + 4879681 T^{8} \))(\( 1 - 76 T^{2} + 3567 T^{4} - 167884 T^{6} + 4879681 T^{8} \))(\( ( 1 - 2 T - 43 T^{2} - 94 T^{3} + 2209 T^{4} )^{2} \))(\( 1 - 86 T^{2} + 5187 T^{4} - 189974 T^{6} + 4879681 T^{8} \))(\( 1 - 76 T^{2} + 3567 T^{4} - 167884 T^{6} + 4879681 T^{8} \))(\( 1 - 44 T^{2} - 273 T^{4} - 97196 T^{6} + 4879681 T^{8} \))(\( 1 - 86 T^{2} + 5187 T^{4} - 189974 T^{6} + 4879681 T^{8} \))(\( 1 - 16 T + 126 T^{2} - 576 T^{3} + 2659 T^{4} - 27072 T^{5} + 278334 T^{6} - 1661168 T^{7} + 4879681 T^{8} \))(\( ( 1 + 120 T^{2} + 6480 T^{4} + 420240 T^{6} + 26037119 T^{8} + 928310160 T^{10} + 31620332880 T^{12} + 1293505839480 T^{14} + 23811286661761 T^{16} )^{2} \))(\( ( 1 + 64 T^{2} - 2 T^{4} - 20480 T^{6} + 2865859 T^{8} - 45240320 T^{10} - 9759362 T^{12} + 689869781056 T^{14} + 23811286661761 T^{16} )^{2} \))(\( ( 1 + 12 T + 220 T^{2} + 2064 T^{3} + 23770 T^{4} + 187500 T^{5} + 1740112 T^{6} + 11915748 T^{7} + 94622851 T^{8} + 560040156 T^{9} + 3843907408 T^{10} + 19466812500 T^{11} + 115990017370 T^{12} + 473368094448 T^{13} + 2371427372380 T^{14} + 6079477445556 T^{15} + 23811286661761 T^{16} )^{2} \))
$53$ (\( 1 + 12 T + 53 T^{2} \))(\( 1 + 14 T + 53 T^{2} \))(\( 1 + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 + 53 T^{2} \))(\( 1 + 12 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 + 2 T + 53 T^{2} \))(\( 1 + 12 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 + 12 T + 53 T^{2} \))(\( 1 + 2 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 + 2 T + 100 T^{2} + 106 T^{3} + 2809 T^{4} \))(\( ( 1 - 6 T + 53 T^{2} )^{2} \))(\( ( 1 - 6 T + 53 T^{2} )^{2} \))(\( ( 1 + 12 T + 53 T^{2} )^{2} \))(\( ( 1 - 14 T + 53 T^{2} )^{2} \))(\( 1 + 2 T + 100 T^{2} + 106 T^{3} + 2809 T^{4} \))(\( 1 + 4 T + 12 T^{2} + 212 T^{3} + 2809 T^{4} \))(\( ( 1 - 8 T + 53 T^{2} )^{2} \))(\( ( 1 - 2 T + 53 T^{2} )^{2} \))(\( 1 - 8 T + 102 T^{2} - 424 T^{3} + 2809 T^{4} \))(\( 1 + 4 T + 12 T^{2} + 212 T^{3} + 2809 T^{4} \))(\( ( 1 + 8 T + 50 T^{2} + 424 T^{3} + 2809 T^{4} )^{4} \))(\( ( 1 - 14 T + 236 T^{2} - 1904 T^{3} + 18316 T^{4} - 100912 T^{5} + 662924 T^{6} - 2084278 T^{7} + 7890481 T^{8} )^{4} \))(\( ( 1 - 8 T + 202 T^{2} - 1136 T^{3} + 15738 T^{4} - 60208 T^{5} + 567418 T^{6} - 1191016 T^{7} + 7890481 T^{8} )^{4} \))(\( 1 - 2 T - 49 T^{2} - 106 T^{3} + 2809 T^{4} \))(\( 1 + 6 T - 17 T^{2} + 318 T^{3} + 2809 T^{4} \))(\( 1 + 6 T - 17 T^{2} + 318 T^{3} + 2809 T^{4} \))(\( 1 - 12 T + 91 T^{2} - 636 T^{3} + 2809 T^{4} \))(\( 1 - 2 T - 49 T^{2} - 106 T^{3} + 2809 T^{4} \))(\( 1 - 6 T - 17 T^{2} - 318 T^{3} + 2809 T^{4} \))(\( 1 - 12 T + 91 T^{2} - 636 T^{3} + 2809 T^{4} \))(\( 1 - 14 T + 143 T^{2} - 742 T^{3} + 2809 T^{4} \))(\( 1 + 6 T - 17 T^{2} + 318 T^{3} + 2809 T^{4} \))(\( 1 + 6 T - 17 T^{2} + 318 T^{3} + 2809 T^{4} \))(\( 1 - 53 T^{2} + 2809 T^{4} \))(\( 1 - 14 T + 143 T^{2} - 742 T^{3} + 2809 T^{4} \))(\( 1 - 4 T + 4 T^{2} + 376 T^{3} - 3513 T^{4} + 19928 T^{5} + 11236 T^{6} - 595508 T^{7} + 7890481 T^{8} \))(\( 1 + 8 T - 38 T^{2} - 32 T^{3} + 4203 T^{4} - 1696 T^{5} - 106742 T^{6} + 1191016 T^{7} + 7890481 T^{8} \))(\( ( 1 + 2 T - 49 T^{2} + 106 T^{3} + 2809 T^{4} )^{2} \))(\( ( 1 + 8 T + 11 T^{2} + 424 T^{3} + 2809 T^{4} )^{2} \))(\( 1 + 8 T - 38 T^{2} - 32 T^{3} + 4203 T^{4} - 1696 T^{5} - 106742 T^{6} + 1191016 T^{7} + 7890481 T^{8} \))(\( ( 1 + 14 T + 143 T^{2} + 742 T^{3} + 2809 T^{4} )^{2} \))(\( ( 1 - 12 T + 91 T^{2} - 636 T^{3} + 2809 T^{4} )^{2} \))(\( ( 1 + 6 T - 17 T^{2} + 318 T^{3} + 2809 T^{4} )^{2} \))(\( ( 1 + 6 T - 17 T^{2} + 318 T^{3} + 2809 T^{4} )^{2} \))(\( 1 - 2 T - 96 T^{2} + 12 T^{3} + 6979 T^{4} + 636 T^{5} - 269664 T^{6} - 297754 T^{7} + 7890481 T^{8} \))(\( ( 1 - 8 T + 14 T^{2} + 448 T^{3} - 3701 T^{4} + 23744 T^{5} + 39326 T^{6} - 1191016 T^{7} + 7890481 T^{8} )^{4} \))(\( ( 1 - 14 T + 62 T^{2} - 392 T^{3} + 4759 T^{4} - 20776 T^{5} + 174158 T^{6} - 2084278 T^{7} + 7890481 T^{8} )^{4} \))(\( ( 1 + 14 T - 40 T^{2} - 504 T^{3} + 10724 T^{4} + 37408 T^{5} - 784280 T^{6} - 1391586 T^{7} + 37358647 T^{8} - 73754058 T^{9} - 2203042520 T^{10} + 5569190816 T^{11} + 84617518244 T^{12} - 210770528472 T^{13} - 886574445160 T^{14} + 16445955957718 T^{15} + 62259690411361 T^{16} )^{2} \))
$59$ (\( 1 - 9 T + 59 T^{2} \))(\( 1 + 10 T + 59 T^{2} \))(\( 1 - 3 T + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( 1 + 3 T + 59 T^{2} \))(\( 1 + 9 T + 59 T^{2} \))(\( 1 + 3 T + 59 T^{2} \))(\( 1 - 10 T + 59 T^{2} \))(\( 1 - 3 T + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 + 3 T + 59 T^{2} \))(\( 1 + 10 T + 59 T^{2} \))(\( 1 - 3 T + 59 T^{2} \))(\( 1 + 4 T + 115 T^{2} + 236 T^{3} + 3481 T^{4} \))(\( 1 + 86 T^{2} + 3481 T^{4} \))(\( 1 - 82 T^{2} + 3481 T^{4} \))(\( 1 + 100 T^{2} + 3481 T^{4} \))(\( 1 + 46 T^{2} + 3481 T^{4} \))(\( 1 - 4 T + 115 T^{2} - 236 T^{3} + 3481 T^{4} \))(\( 1 + 14 T + 165 T^{2} + 826 T^{3} + 3481 T^{4} \))(\( 1 + 116 T^{2} + 3481 T^{4} \))(\( 1 - 10 T^{2} + 3481 T^{4} \))(\( 1 + 10 T + 138 T^{2} + 590 T^{3} + 3481 T^{4} \))(\( 1 - 14 T + 165 T^{2} - 826 T^{3} + 3481 T^{4} \))(\( ( 1 - 36 T^{2} + 4974 T^{4} - 125316 T^{6} + 12117361 T^{8} )^{2} \))(\( ( 1 - 176 T^{2} + 12658 T^{4} - 310940 T^{6} - 1019165 T^{8} - 1082382140 T^{10} + 153381555538 T^{12} - 7423773920816 T^{14} + 146830437604321 T^{16} )^{2} \))(\( ( 1 - 352 T^{2} + 58432 T^{4} - 6022240 T^{6} + 424194146 T^{8} - 20963417440 T^{10} + 708041637952 T^{12} - 14847547841632 T^{14} + 146830437604321 T^{16} )^{2} \))(\( 1 - 10 T + 41 T^{2} - 590 T^{3} + 3481 T^{4} \))(\( 1 - 59 T^{2} + 3481 T^{4} \))(\( 1 - 59 T^{2} + 3481 T^{4} \))(\( 1 + 3 T - 50 T^{2} + 177 T^{3} + 3481 T^{4} \))(\( 1 + 10 T + 41 T^{2} + 590 T^{3} + 3481 T^{4} \))(\( 1 - 3 T - 50 T^{2} - 177 T^{3} + 3481 T^{4} \))(\( 1 - 9 T + 22 T^{2} - 531 T^{3} + 3481 T^{4} \))(\( 1 + 10 T + 41 T^{2} + 590 T^{3} + 3481 T^{4} \))(\( 1 + 12 T + 85 T^{2} + 708 T^{3} + 3481 T^{4} \))(\( 1 - 12 T + 85 T^{2} - 708 T^{3} + 3481 T^{4} \))(\( 1 + 3 T - 50 T^{2} + 177 T^{3} + 3481 T^{4} \))(\( 1 - 10 T + 41 T^{2} - 590 T^{3} + 3481 T^{4} \))(\( 1 + 14 T + 31 T^{2} + 658 T^{3} + 12180 T^{4} + 38822 T^{5} + 107911 T^{6} + 2875306 T^{7} + 12117361 T^{8} \))(\( 1 - 10 T - 38 T^{2} - 200 T^{3} + 9663 T^{4} - 11800 T^{5} - 132278 T^{6} - 2053790 T^{7} + 12117361 T^{8} \))(\( ( 1 - 18 T + 167 T^{2} - 1062 T^{3} + 3481 T^{4} )( 1 + 18 T + 167 T^{2} + 1062 T^{3} + 3481 T^{4} ) \))(\( 1 - 116 T^{2} + 9975 T^{4} - 403796 T^{6} + 12117361 T^{8} \))(\( 1 + 10 T - 38 T^{2} + 200 T^{3} + 9663 T^{4} + 11800 T^{5} - 132278 T^{6} + 2053790 T^{7} + 12117361 T^{8} \))(\( 1 - 46 T^{2} - 1365 T^{4} - 160126 T^{6} + 12117361 T^{8} \))(\( 1 - 100 T^{2} + 6519 T^{4} - 348100 T^{6} + 12117361 T^{8} \))(\( 1 + 82 T^{2} + 3243 T^{4} + 285442 T^{6} + 12117361 T^{8} \))(\( 1 - 86 T^{2} + 3915 T^{4} - 299366 T^{6} + 12117361 T^{8} \))(\( 1 - 4 T - 99 T^{2} + 12 T^{3} + 8800 T^{4} + 708 T^{5} - 344619 T^{6} - 821516 T^{7} + 12117361 T^{8} \))(\( ( 1 + 36 T^{2} - 3678 T^{4} - 71568 T^{6} + 8111939 T^{8} - 249128208 T^{10} - 44567653758 T^{12} + 1518499211076 T^{14} + 146830437604321 T^{16} )^{2} \))(\( ( 1 + 226 T^{2} + 31366 T^{4} + 2881048 T^{6} + 198571183 T^{8} + 10028928088 T^{10} + 380073145126 T^{12} + 9532800602866 T^{14} + 146830437604321 T^{16} )^{2} \))(\( ( 1 + 30 T + 538 T^{2} + 7140 T^{3} + 78637 T^{4} + 744282 T^{5} + 6314518 T^{6} + 50427036 T^{7} + 391144336 T^{8} + 2975195124 T^{9} + 21980837158 T^{10} + 152859892878 T^{11} + 952872916957 T^{12} + 5104559494860 T^{13} + 22693127098858 T^{14} + 74659544544570 T^{15} + 146830437604321 T^{16} )^{2} \))
$61$ (\( 1 + 5 T + 61 T^{2} \))(\( 1 - 8 T + 61 T^{2} \))(\( 1 + 11 T + 61 T^{2} \))(\( 1 - 14 T + 61 T^{2} \))(\( 1 - 11 T + 61 T^{2} \))(\( 1 - 5 T + 61 T^{2} \))(\( 1 + T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 - 7 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 + 7 T + 61 T^{2} \))(\( 1 - 10 T + 61 T^{2} \))(\( 1 - T + 61 T^{2} \))(\( 1 + 18 T + 175 T^{2} + 1098 T^{3} + 3721 T^{4} \))(\( 1 + 90 T^{2} + 3721 T^{4} \))(\( 1 + 104 T^{2} + 3721 T^{4} \))(\( 1 + 90 T^{2} + 3721 T^{4} \))(\( 1 + 50 T^{2} + 3721 T^{4} \))(\( 1 - 18 T + 175 T^{2} - 1098 T^{3} + 3721 T^{4} \))(\( 1 - 18 T + 195 T^{2} - 1098 T^{3} + 3721 T^{4} \))(\( 1 + 114 T^{2} + 3721 T^{4} \))(\( 1 + 24 T^{2} + 3721 T^{4} \))(\( 1 - 6 T + 126 T^{2} - 366 T^{3} + 3721 T^{4} \))(\( 1 + 18 T + 195 T^{2} + 1098 T^{3} + 3721 T^{4} \))(\( ( 1 + 208 T^{2} + 18096 T^{4} + 773968 T^{6} + 13845841 T^{8} )^{2} \))(\( ( 1 + 188 T^{2} + 21226 T^{4} + 1882352 T^{6} + 130642675 T^{8} + 7004231792 T^{10} + 293891821066 T^{12} + 9685830379868 T^{14} + 191707312997281 T^{16} )^{2} \))(\( ( 1 + 64 T^{2} + 14676 T^{4} + 673312 T^{6} + 81782582 T^{8} + 2505393952 T^{10} + 203201562516 T^{12} + 3297303959104 T^{14} + 191707312997281 T^{16} )^{2} \))(\( 1 + 10 T + 39 T^{2} + 610 T^{3} + 3721 T^{4} \))(\( 1 + 10 T + 39 T^{2} + 610 T^{3} + 3721 T^{4} \))(\( 1 - 10 T + 39 T^{2} - 610 T^{3} + 3721 T^{4} \))(\( 1 + 7 T - 12 T^{2} + 427 T^{3} + 3721 T^{4} \))(\( 1 - 10 T + 39 T^{2} - 610 T^{3} + 3721 T^{4} \))(\( ( 1 - 14 T + 61 T^{2} )( 1 + 13 T + 61 T^{2} ) \))(\( 1 + 5 T - 36 T^{2} + 305 T^{3} + 3721 T^{4} \))(\( 1 - 8 T + 3 T^{2} - 488 T^{3} + 3721 T^{4} \))(\( ( 1 + T + 61 T^{2} )( 1 + 13 T + 61 T^{2} ) \))(\( ( 1 - 13 T + 61 T^{2} )( 1 - T + 61 T^{2} ) \))(\( 1 - 11 T + 60 T^{2} - 671 T^{3} + 3721 T^{4} \))(\( 1 + 8 T + 3 T^{2} + 488 T^{3} + 3721 T^{4} \))(\( 1 - 18 T + 129 T^{2} - 1314 T^{3} + 14540 T^{4} - 80154 T^{5} + 480009 T^{6} - 4085658 T^{7} + 13845841 T^{8} \))(\( 1 + 6 T - 90 T^{2} + 24 T^{3} + 9959 T^{4} + 1464 T^{5} - 334890 T^{6} + 1361886 T^{7} + 13845841 T^{8} \))(\( 1 - 24 T^{2} - 3145 T^{4} - 89304 T^{6} + 13845841 T^{8} \))(\( 1 - 114 T^{2} + 9275 T^{4} - 424194 T^{6} + 13845841 T^{8} \))(\( 1 - 6 T - 90 T^{2} - 24 T^{3} + 9959 T^{4} - 1464 T^{5} - 334890 T^{6} - 1361886 T^{7} + 13845841 T^{8} \))(\( 1 - 50 T^{2} - 1221 T^{4} - 186050 T^{6} + 13845841 T^{8} \))(\( 1 - 90 T^{2} + 4379 T^{4} - 334890 T^{6} + 13845841 T^{8} \))(\( 1 - 104 T^{2} + 7095 T^{4} - 386984 T^{6} + 13845841 T^{8} \))(\( 1 - 90 T^{2} + 4379 T^{4} - 334890 T^{6} + 13845841 T^{8} \))(\( 1 - 18 T + 149 T^{2} - 954 T^{3} + 7140 T^{4} - 58194 T^{5} + 554429 T^{6} - 4085658 T^{7} + 13845841 T^{8} \))(\( ( 1 - 208 T^{2} + 25168 T^{4} - 2216032 T^{6} + 152634031 T^{8} - 8245855072 T^{10} + 348472126288 T^{12} - 10716237867088 T^{14} + 191707312997281 T^{16} )^{2} \))(\( ( 1 - 154 T^{2} + 12046 T^{4} - 651112 T^{6} + 34095823 T^{8} - 2422787752 T^{10} + 166787000686 T^{12} - 7934137651594 T^{14} + 191707312997281 T^{16} )^{2} \))(\( 1 - 188 T^{2} + 14118 T^{4} - 225784 T^{6} - 33981775 T^{8} + 2162610456 T^{10} + 41215697590 T^{12} - 13509345277892 T^{14} + 1095095924907012 T^{16} - 50268273779036132 T^{18} + 570665995535223190 T^{20} + \)\(11\!\cdots\!16\)\( T^{22} - \)\(65\!\cdots\!75\)\( T^{24} - \)\(16\!\cdots\!84\)\( T^{26} + \)\(37\!\cdots\!78\)\( T^{28} - \)\(18\!\cdots\!08\)\( T^{30} + \)\(36\!\cdots\!61\)\( T^{32} \))
$67$ (\( 1 + 9 T + 67 T^{2} \))(\( 1 - 8 T + 67 T^{2} \))(\( 1 - 11 T + 67 T^{2} \))(\( 1 + 12 T + 67 T^{2} \))(\( 1 - 11 T + 67 T^{2} \))(\( 1 + 9 T + 67 T^{2} \))(\( 1 - 9 T + 67 T^{2} \))(\( 1 + 12 T + 67 T^{2} \))(\( 1 + 13 T + 67 T^{2} \))(\( 1 + 12 T + 67 T^{2} \))(\( 1 + 13 T + 67 T^{2} \))(\( 1 + 12 T + 67 T^{2} \))(\( 1 - 9 T + 67 T^{2} \))(\( 1 + 8 T + 87 T^{2} + 536 T^{3} + 4489 T^{4} \))(\( ( 1 + 4 T + 67 T^{2} )^{2} \))(\( ( 1 + 4 T + 67 T^{2} )^{2} \))(\( ( 1 + 2 T + 67 T^{2} )^{2} \))(\( ( 1 - 4 T + 67 T^{2} )^{2} \))(\( 1 + 8 T + 87 T^{2} + 536 T^{3} + 4489 T^{4} \))(\( 1 - 14 T + 165 T^{2} - 938 T^{3} + 4489 T^{4} \))(\( ( 1 - 2 T + 67 T^{2} )^{2} \))(\( ( 1 - 8 T + 67 T^{2} )^{2} \))(\( 1 + 4 T - 42 T^{2} + 268 T^{3} + 4489 T^{4} \))(\( 1 - 14 T + 165 T^{2} - 938 T^{3} + 4489 T^{4} \))(\( ( 1 - 12 T + 138 T^{2} - 804 T^{3} + 4489 T^{4} )^{4} \))(\( ( 1 + 6 T + 214 T^{2} + 1158 T^{3} + 20115 T^{4} + 77586 T^{5} + 960646 T^{6} + 1804578 T^{7} + 20151121 T^{8} )^{4} \))(\( ( 1 - 4 T + 214 T^{2} - 508 T^{3} + 19322 T^{4} - 34036 T^{5} + 960646 T^{6} - 1203052 T^{7} + 20151121 T^{8} )^{4} \))(\( 1 - 12 T + 77 T^{2} - 804 T^{3} + 4489 T^{4} \))(\( 1 - 12 T + 77 T^{2} - 804 T^{3} + 4489 T^{4} \))(\( 1 - 12 T + 77 T^{2} - 804 T^{3} + 4489 T^{4} \))(\( 1 - 13 T + 102 T^{2} - 871 T^{3} + 4489 T^{4} \))(\( 1 - 12 T + 77 T^{2} - 804 T^{3} + 4489 T^{4} \))(\( 1 + 9 T + 14 T^{2} + 603 T^{3} + 4489 T^{4} \))(\( 1 - 9 T + 14 T^{2} - 603 T^{3} + 4489 T^{4} \))(\( 1 + 8 T - 3 T^{2} + 536 T^{3} + 4489 T^{4} \))(\( 1 - 12 T + 77 T^{2} - 804 T^{3} + 4489 T^{4} \))(\( 1 - 12 T + 77 T^{2} - 804 T^{3} + 4489 T^{4} \))(\( ( 1 - 5 T + 67 T^{2} )( 1 + 16 T + 67 T^{2} ) \))(\( 1 + 8 T - 3 T^{2} + 536 T^{3} + 4489 T^{4} \))(\( 1 + 14 T + 31 T^{2} + 434 T^{3} + 9604 T^{4} + 29078 T^{5} + 139159 T^{6} + 4210682 T^{7} + 20151121 T^{8} \))(\( 1 - 4 T + 58 T^{2} + 704 T^{3} - 3797 T^{4} + 47168 T^{5} + 260362 T^{6} - 1203052 T^{7} + 20151121 T^{8} \))(\( ( 1 + 8 T - 3 T^{2} + 536 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 + 2 T - 63 T^{2} + 134 T^{3} + 4489 T^{4} )^{2} \))(\( 1 - 4 T + 58 T^{2} + 704 T^{3} - 3797 T^{4} + 47168 T^{5} + 260362 T^{6} - 1203052 T^{7} + 20151121 T^{8} \))(\( ( 1 + 4 T - 51 T^{2} + 268 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 - 2 T - 63 T^{2} - 134 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 - 4 T - 51 T^{2} - 268 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 - 4 T - 51 T^{2} - 268 T^{3} + 4489 T^{4} )^{2} \))(\( 1 - 8 T - 23 T^{2} + 376 T^{3} - 1208 T^{4} + 25192 T^{5} - 103247 T^{6} - 2406104 T^{7} + 20151121 T^{8} \))(\( ( 1 + 12 T + 6 T^{2} + 48 T^{3} + 4907 T^{4} + 3216 T^{5} + 26934 T^{6} + 3609156 T^{7} + 20151121 T^{8} )^{4} \))(\( ( 1 - 6 T - 86 T^{2} + 72 T^{3} + 7983 T^{4} + 4824 T^{5} - 386054 T^{6} - 1804578 T^{7} + 20151121 T^{8} )^{4} \))(\( ( 1 - 6 T - 178 T^{2} + 1032 T^{3} + 18733 T^{4} - 84018 T^{5} - 1507870 T^{6} + 2345184 T^{7} + 110694208 T^{8} + 157127328 T^{9} - 6768828430 T^{10} - 25269505734 T^{11} + 377490949693 T^{12} + 1393329110424 T^{13} - 16101592026082 T^{14} - 36364269631938 T^{15} + 406067677556641 T^{16} )^{2} \))
$71$ (\( 1 - 4 T + 71 T^{2} \))(\( 1 + 4 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 8 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 - 4 T + 71 T^{2} \))(\( 1 + 2 T + 71 T^{2} \))(\( 1 - 4 T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 - 16 T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 - 4 T + 71 T^{2} \))(\( 1 + 2 T + 71 T^{2} \))(\( 1 - 14 T + 184 T^{2} - 994 T^{3} + 5041 T^{4} \))(\( ( 1 + 71 T^{2} )^{2} \))(\( ( 1 + 71 T^{2} )^{2} \))(\( ( 1 + 10 T + 71 T^{2} )^{2} \))(\( ( 1 + 71 T^{2} )^{2} \))(\( 1 - 14 T + 184 T^{2} - 994 T^{3} + 5041 T^{4} \))(\( 1 + 8 T + 108 T^{2} + 568 T^{3} + 5041 T^{4} \))(\( ( 1 + 2 T + 71 T^{2} )^{2} \))(\( ( 1 - 16 T + 71 T^{2} )^{2} \))(\( 1 - 4 T + 126 T^{2} - 284 T^{3} + 5041 T^{4} \))(\( 1 + 8 T + 108 T^{2} + 568 T^{3} + 5041 T^{4} \))(\( ( 1 - 2 T + 71 T^{2} )^{8} \))(\( ( 1 - 2 T + 110 T^{2} - 764 T^{3} + 8800 T^{4} - 54244 T^{5} + 554510 T^{6} - 715822 T^{7} + 25411681 T^{8} )^{4} \))(\( ( 1 + 12 T + 222 T^{2} + 1644 T^{3} + 19874 T^{4} + 116724 T^{5} + 1119102 T^{6} + 4294932 T^{7} + 25411681 T^{8} )^{4} \))(\( ( 1 - 4 T + 71 T^{2} )^{2} \))(\( ( 1 - 16 T + 71 T^{2} )^{2} \))(\( ( 1 - 16 T + 71 T^{2} )^{2} \))(\( ( 1 + 12 T + 71 T^{2} )^{2} \))(\( ( 1 - 4 T + 71 T^{2} )^{2} \))(\( ( 1 + 2 T + 71 T^{2} )^{2} \))(\( ( 1 - 4 T + 71 T^{2} )^{2} \))(\( ( 1 + 4 T + 71 T^{2} )^{2} \))(\( ( 1 + 8 T + 71 T^{2} )^{2} \))(\( ( 1 + 8 T + 71 T^{2} )^{2} \))(\( ( 1 + 71 T^{2} )^{2} \))(\( ( 1 + 4 T + 71 T^{2} )^{2} \))(\( ( 1 + 8 T + 108 T^{2} + 568 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 - 4 T + 126 T^{2} - 284 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 - 16 T + 71 T^{2} )^{4} \))(\( ( 1 + 2 T + 71 T^{2} )^{4} \))(\( ( 1 - 4 T + 126 T^{2} - 284 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 + 71 T^{2} )^{4} \))(\( ( 1 + 10 T + 71 T^{2} )^{4} \))(\( ( 1 + 71 T^{2} )^{4} \))(\( ( 1 + 71 T^{2} )^{4} \))(\( ( 1 - 14 T + 184 T^{2} - 994 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 - 2 T + 71 T^{2} )^{16} \))(\( ( 1 - 2 T + 71 T^{2} )^{16} \))(\( ( 1 - 2 T + 110 T^{2} - 764 T^{3} + 8800 T^{4} - 54244 T^{5} + 554510 T^{6} - 715822 T^{7} + 25411681 T^{8} )^{4} \))
$73$ (\( 1 + 2 T + 73 T^{2} \))(\( 1 + 4 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 + 4 T + 73 T^{2} \))(\( 1 - 2 T + 73 T^{2} \))(\( 1 - 2 T + 73 T^{2} \))(\( 1 + 4 T + 73 T^{2} \))(\( 1 - 12 T + 73 T^{2} \))(\( 1 - 10 T + 73 T^{2} \))(\( 1 - 14 T + 73 T^{2} \))(\( 1 + 10 T + 73 T^{2} \))(\( 1 + 12 T + 73 T^{2} \))(\( 1 - 4 T + 73 T^{2} \))(\( 1 + 6 T + 148 T^{2} + 438 T^{3} + 5329 T^{4} \))(\( 1 + 74 T^{2} + 5329 T^{4} \))(\( 1 + 74 T^{2} + 5329 T^{4} \))(\( 1 - 54 T^{2} + 5329 T^{4} \))(\( 1 - 54 T^{2} + 5329 T^{4} \))(\( 1 - 6 T + 148 T^{2} - 438 T^{3} + 5329 T^{4} \))(\( 1 + 16 T + 208 T^{2} + 1168 T^{3} + 5329 T^{4} \))(\( 1 + 74 T^{2} + 5329 T^{4} \))(\( 1 + 74 T^{2} + 5329 T^{4} \))(\( 1 + 8 T + 82 T^{2} + 584 T^{3} + 5329 T^{4} \))(\( 1 - 16 T + 208 T^{2} - 1168 T^{3} + 5329 T^{4} \))(\( ( 1 + 4 T^{2} + 294 T^{4} + 21316 T^{6} + 28398241 T^{8} )^{2} \))(\( ( 1 + 380 T^{2} + 71728 T^{4} + 8798696 T^{6} + 759114346 T^{8} + 46888250984 T^{10} + 2036949030448 T^{12} + 57507005989820 T^{14} + 806460091894081 T^{16} )^{2} \))(\( ( 1 + 228 T^{2} + 35526 T^{4} + 3992068 T^{6} + 324806274 T^{8} + 21273730372 T^{10} + 1008875909766 T^{12} + 34504203593892 T^{14} + 806460091894081 T^{16} )^{2} \))(\( 1 - 12 T + 71 T^{2} - 876 T^{3} + 5329 T^{4} \))(\( 1 - 14 T + 123 T^{2} - 1022 T^{3} + 5329 T^{4} \))(\( 1 + 14 T + 123 T^{2} + 1022 T^{3} + 5329 T^{4} \))(\( ( 1 - 7 T + 73 T^{2} )( 1 + 17 T + 73 T^{2} ) \))(\( 1 + 12 T + 71 T^{2} + 876 T^{3} + 5329 T^{4} \))(\( 1 - 4 T - 57 T^{2} - 292 T^{3} + 5329 T^{4} \))(\( 1 + 2 T - 69 T^{2} + 146 T^{3} + 5329 T^{4} \))(\( 1 + 4 T - 57 T^{2} + 292 T^{3} + 5329 T^{4} \))(\( 1 - 4 T - 57 T^{2} - 292 T^{3} + 5329 T^{4} \))(\( 1 + 4 T - 57 T^{2} + 292 T^{3} + 5329 T^{4} \))(\( 1 - 2 T - 69 T^{2} - 146 T^{3} + 5329 T^{4} \))(\( 1 - 4 T - 57 T^{2} - 292 T^{3} + 5329 T^{4} \))(\( 1 + 16 T + 48 T^{2} + 992 T^{3} + 19247 T^{4} + 72416 T^{5} + 255792 T^{6} + 6224272 T^{7} + 28398241 T^{8} \))(\( 1 - 8 T - 18 T^{2} + 512 T^{3} - 3277 T^{4} + 37376 T^{5} - 95922 T^{6} - 3112136 T^{7} + 28398241 T^{8} \))(\( 1 - 74 T^{2} + 147 T^{4} - 394346 T^{6} + 28398241 T^{8} \))(\( 1 - 74 T^{2} + 147 T^{4} - 394346 T^{6} + 28398241 T^{8} \))(\( 1 + 8 T - 18 T^{2} - 512 T^{3} - 3277 T^{4} - 37376 T^{5} - 95922 T^{6} + 3112136 T^{7} + 28398241 T^{8} \))(\( 1 + 54 T^{2} - 2413 T^{4} + 287766 T^{6} + 28398241 T^{8} \))(\( 1 + 54 T^{2} - 2413 T^{4} + 287766 T^{6} + 28398241 T^{8} \))(\( 1 - 74 T^{2} + 147 T^{4} - 394346 T^{6} + 28398241 T^{8} \))(\( 1 - 74 T^{2} + 147 T^{4} - 394346 T^{6} + 28398241 T^{8} \))(\( 1 - 6 T - 112 T^{2} - 12 T^{3} + 13947 T^{4} - 876 T^{5} - 596848 T^{6} - 2334102 T^{7} + 28398241 T^{8} \))(\( ( 1 - 4 T^{2} - 278 T^{4} + 41456 T^{6} - 28397069 T^{8} + 220919024 T^{10} - 7894710998 T^{12} - 605336905156 T^{14} + 806460091894081 T^{16} )^{2} \))(\( ( 1 + 8 T^{2} + 1486 T^{4} - 96640 T^{6} - 26717213 T^{8} - 514994560 T^{10} + 42199786126 T^{12} + 1210673810312 T^{14} + 806460091894081 T^{16} )^{2} \))(\( 1 - 380 T^{2} + 72672 T^{4} - 9659248 T^{6} + 1042287158 T^{8} - 101074214712 T^{10} + 9223660177504 T^{12} - 784363064092172 T^{14} + 60491708327485827 T^{16} - 4179870768547184588 T^{18} + \)\(26\!\cdots\!64\)\( T^{20} - \)\(15\!\cdots\!68\)\( T^{22} + \)\(84\!\cdots\!98\)\( T^{24} - \)\(41\!\cdots\!52\)\( T^{26} + \)\(16\!\cdots\!12\)\( T^{28} - \)\(46\!\cdots\!20\)\( T^{30} + \)\(65\!\cdots\!61\)\( T^{32} \))
$79$ (\( 1 + 15 T + 79 T^{2} \))(\( 1 - 16 T + 79 T^{2} \))(\( 1 - 5 T + 79 T^{2} \))(\( 1 + 79 T^{2} \))(\( 1 - 5 T + 79 T^{2} \))(\( 1 + 15 T + 79 T^{2} \))(\( 1 - 9 T + 79 T^{2} \))(\( 1 + 79 T^{2} \))(\( 1 + T + 79 T^{2} \))(\( 1 + 79 T^{2} \))(\( 1 + T + 79 T^{2} \))(\( 1 + 79 T^{2} \))(\( 1 - 9 T + 79 T^{2} \))(\( 1 + 151 T^{2} + 6241 T^{4} \))(\( ( 1 + 79 T^{2} )^{2} \))(\( ( 1 + 79 T^{2} )^{2} \))(\( ( 1 + 8 T + 79 T^{2} )^{2} \))(\( ( 1 + 16 T + 79 T^{2} )^{2} \))(\( 1 + 151 T^{2} + 6241 T^{4} \))(\( 1 + 18 T + 221 T^{2} + 1422 T^{3} + 6241 T^{4} \))(\( ( 1 - 16 T + 79 T^{2} )^{2} \))(\( ( 1 + 8 T + 79 T^{2} )^{2} \))(\( ( 1 + 79 T^{2} )^{2} \))(\( 1 + 18 T + 221 T^{2} + 1422 T^{3} + 6241 T^{4} \))(\( ( 1 - 86 T^{2} + 6241 T^{4} )^{4} \))(\( ( 1 - 232 T^{2} + 31330 T^{4} - 2644588 T^{6} + 211607707 T^{8} - 16504873708 T^{10} + 1220306037730 T^{12} - 56396289680872 T^{14} + 1517108809906561 T^{16} )^{2} \))(\( ( 1 - 86 T^{2} + 6241 T^{4} )^{8} \))(\( 1 - 79 T^{2} + 6241 T^{4} \))(\( 1 - 79 T^{2} + 6241 T^{4} \))(\( 1 - 79 T^{2} + 6241 T^{4} \))(\( 1 - T - 78 T^{2} - 79 T^{3} + 6241 T^{4} \))(\( 1 - 79 T^{2} + 6241 T^{4} \))(\( 1 + 9 T + 2 T^{2} + 711 T^{3} + 6241 T^{4} \))(\( 1 - 15 T + 146 T^{2} - 1185 T^{3} + 6241 T^{4} \))(\( 1 + 16 T + 177 T^{2} + 1264 T^{3} + 6241 T^{4} \))(\( 1 - 79 T^{2} + 6241 T^{4} \))(\( 1 - 79 T^{2} + 6241 T^{4} \))(\( 1 + 5 T - 54 T^{2} + 395 T^{3} + 6241 T^{4} \))(\( 1 + 16 T + 177 T^{2} + 1264 T^{3} + 6241 T^{4} \))(\( 1 - 18 T + 103 T^{2} - 1134 T^{3} + 17004 T^{4} - 89586 T^{5} + 642823 T^{6} - 8874702 T^{7} + 38950081 T^{8} \))(\( ( 1 - 79 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 - 8 T - 15 T^{2} - 632 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 + 16 T + 177 T^{2} + 1264 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 - 79 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 - 16 T + 177 T^{2} - 1264 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 - 8 T - 15 T^{2} - 632 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 - 79 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 - 79 T^{2} + 6241 T^{4} )^{2} \))(\( 1 - 151 T^{2} + 16560 T^{4} - 942391 T^{6} + 38950081 T^{8} \))(\( ( 1 + 86 T^{2} + 1155 T^{4} + 536726 T^{6} + 38950081 T^{8} )^{4} \))(\( ( 1 + 11 T^{2} + 6241 T^{4} )^{4}( 1 + 131 T^{2} + 6241 T^{4} )^{4} \))(\( 1 + 232 T^{2} + 22494 T^{4} + 1979384 T^{6} + 156416777 T^{8} + 1173839700 T^{10} - 1024342395362 T^{12} - 135072893469332 T^{14} - 12452187847957308 T^{16} - 842989928142101012 T^{18} - 39898219271083924322 T^{20} + \)\(28\!\cdots\!00\)\( T^{22} + \)\(23\!\cdots\!97\)\( T^{24} + \)\(18\!\cdots\!84\)\( T^{26} + \)\(13\!\cdots\!54\)\( T^{28} + \)\(85\!\cdots\!92\)\( T^{30} + \)\(23\!\cdots\!21\)\( T^{32} \))
$83$ (\( 1 + 6 T + 83 T^{2} \))(\( 1 + 4 T + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 + 18 T + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 - 18 T + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 + 16 T + 202 T^{2} + 1328 T^{3} + 6889 T^{4} \))(\( 1 + 158 T^{2} + 6889 T^{4} \))(\( 1 + 116 T^{2} + 6889 T^{4} \))(\( 1 + 158 T^{2} + 6889 T^{4} \))(\( 1 - 122 T^{2} + 6889 T^{4} \))(\( 1 - 16 T + 202 T^{2} - 1328 T^{3} + 6889 T^{4} \))(\( 1 - 4 T - 30 T^{2} - 332 T^{3} + 6889 T^{4} \))(\( 1 - 122 T^{2} + 6889 T^{4} \))(\( 1 + 4 T^{2} + 6889 T^{4} \))(\( 1 - 2 T + 42 T^{2} - 166 T^{3} + 6889 T^{4} \))(\( 1 + 4 T - 30 T^{2} + 332 T^{3} + 6889 T^{4} \))(\( ( 1 + 152 T^{2} + 11616 T^{4} + 1047128 T^{6} + 47458321 T^{8} )^{2} \))(\( ( 1 + 404 T^{2} + 73300 T^{4} + 8358284 T^{6} + 744742582 T^{8} + 57580218476 T^{10} + 3478694929300 T^{12} + 132083910841076 T^{14} + 2252292232139041 T^{16} )^{2} \))(\( ( 1 + 348 T^{2} + 67182 T^{4} + 8774924 T^{6} + 846244962 T^{8} + 60450451436 T^{10} + 3188344921422 T^{12} + 113775249932412 T^{14} + 2252292232139041 T^{16} )^{2} \))(\( ( 1 - 18 T + 83 T^{2} )^{2} \))(\( ( 1 + 83 T^{2} )^{2} \))(\( ( 1 + 83 T^{2} )^{2} \))(\( ( 1 + 6 T + 83 T^{2} )^{2} \))(\( ( 1 + 18 T + 83 T^{2} )^{2} \))(\( ( 1 + 6 T + 83 T^{2} )^{2} \))(\( ( 1 - 6 T + 83 T^{2} )^{2} \))(\( ( 1 - 4 T + 83 T^{2} )^{2} \))(\( ( 1 - 6 T + 83 T^{2} )^{2} \))(\( ( 1 + 6 T + 83 T^{2} )^{2} \))(\( ( 1 - 6 T + 83 T^{2} )^{2} \))(\( ( 1 + 4 T + 83 T^{2} )^{2} \))(\( ( 1 + 4 T - 30 T^{2} + 332 T^{3} + 6889 T^{4} )^{2} \))(\( ( 1 - 2 T + 42 T^{2} - 166 T^{3} + 6889 T^{4} )^{2} \))(\( ( 1 + 4 T^{2} + 6889 T^{4} )^{2} \))(\( ( 1 - 122 T^{2} + 6889 T^{4} )^{2} \))(\( ( 1 + 2 T + 42 T^{2} + 166 T^{3} + 6889 T^{4} )^{2} \))(\( ( 1 - 122 T^{2} + 6889 T^{4} )^{2} \))(\( ( 1 + 158 T^{2} + 6889 T^{4} )^{2} \))(\( ( 1 + 116 T^{2} + 6889 T^{4} )^{2} \))(\( ( 1 + 158 T^{2} + 6889 T^{4} )^{2} \))(\( ( 1 + 16 T + 202 T^{2} + 1328 T^{3} + 6889 T^{4} )^{2} \))(\( ( 1 + 152 T^{2} + 11616 T^{4} + 1047128 T^{6} + 47458321 T^{8} )^{4} \))(\( ( 1 + 82 T^{2} + 13758 T^{4} + 564898 T^{6} + 47458321 T^{8} )^{4} \))(\( ( 1 + 404 T^{2} + 73300 T^{4} + 8358284 T^{6} + 744742582 T^{8} + 57580218476 T^{10} + 3478694929300 T^{12} + 132083910841076 T^{14} + 2252292232139041 T^{16} )^{2} \))
$89$ (\( 1 - 6 T + 89 T^{2} \))(\( 1 + 10 T + 89 T^{2} \))(\( 1 - 18 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 + 18 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 - 8 T + 82 T^{2} - 712 T^{3} + 7921 T^{4} \))(\( 1 + 50 T^{2} + 7921 T^{4} \))(\( 1 - 160 T^{2} + 7921 T^{4} \))(\( 1 + 128 T^{2} + 7921 T^{4} \))(\( 1 + 50 T^{2} + 7921 T^{4} \))(\( 1 + 8 T + 82 T^{2} + 712 T^{3} + 7921 T^{4} \))(\( 1 - 8 T + 122 T^{2} - 712 T^{3} + 7921 T^{4} \))(\( 1 + 128 T^{2} + 7921 T^{4} \))(\( 1 + 128 T^{2} + 7921 T^{4} \))(\( ( 1 + 10 T + 89 T^{2} )^{2} \))(\( 1 + 8 T + 122 T^{2} + 712 T^{3} + 7921 T^{4} \))(\( ( 1 - 192 T^{2} + 20256 T^{4} - 1520832 T^{6} + 62742241 T^{8} )^{2} \))(\( ( 1 - 256 T^{2} + 40372 T^{4} - 4329424 T^{6} + 416141830 T^{8} - 34293367504 T^{10} + 2533029753652 T^{12} - 127227210486016 T^{14} + 3936588805702081 T^{16} )^{2} \))(\( ( 1 - 480 T^{2} + 110400 T^{4} - 16169952 T^{6} + 1681034690 T^{8} - 128082189792 T^{10} + 6926743406400 T^{12} - 238551019661280 T^{14} + 3936588805702081 T^{16} )^{2} \))(\( 1 - 89 T^{2} + 7921 T^{4} \))(\( 1 - 6 T - 53 T^{2} - 534 T^{3} + 7921 T^{4} \))(\( 1 + 6 T - 53 T^{2} + 534 T^{3} + 7921 T^{4} \))(\( 1 - 6 T - 53 T^{2} - 534 T^{3} + 7921 T^{4} \))(\( 1 - 89 T^{2} + 7921 T^{4} \))(\( 1 - 6 T - 53 T^{2} - 534 T^{3} + 7921 T^{4} \))(\( 1 - 6 T - 53 T^{2} - 534 T^{3} + 7921 T^{4} \))(\( 1 + 10 T + 11 T^{2} + 890 T^{3} + 7921 T^{4} \))(\( 1 + 6 T - 53 T^{2} + 534 T^{3} + 7921 T^{4} \))(\( 1 - 6 T - 53 T^{2} - 534 T^{3} + 7921 T^{4} \))(\( 1 + 18 T + 235 T^{2} + 1602 T^{3} + 7921 T^{4} \))(\( 1 - 10 T + 11 T^{2} - 890 T^{3} + 7921 T^{4} \))(\( 1 - 8 T - 58 T^{2} + 448 T^{3} + 1267 T^{4} + 39872 T^{5} - 459418 T^{6} - 5639752 T^{7} + 62742241 T^{8} \))(\( ( 1 - 10 T + 11 T^{2} - 890 T^{3} + 7921 T^{4} )^{2} \))(\( 1 - 128 T^{2} + 8463 T^{4} - 1013888 T^{6} + 62742241 T^{8} \))(\( 1 - 128 T^{2} + 8463 T^{4} - 1013888 T^{6} + 62742241 T^{8} \))(\( ( 1 + 10 T + 11 T^{2} + 890 T^{3} + 7921 T^{4} )^{2} \))(\( 1 - 50 T^{2} - 5421 T^{4} - 396050 T^{6} + 62742241 T^{8} \))(\( 1 - 128 T^{2} + 8463 T^{4} - 1013888 T^{6} + 62742241 T^{8} \))(\( 1 + 160 T^{2} + 17679 T^{4} + 1267360 T^{6} + 62742241 T^{8} \))(\( 1 - 50 T^{2} - 5421 T^{4} - 396050 T^{6} + 62742241 T^{8} \))(\( 1 + 8 T - 18 T^{2} - 768 T^{3} - 6893 T^{4} - 68352 T^{5} - 142578 T^{6} + 5639752 T^{7} + 62742241 T^{8} \))(\( ( 1 + 192 T^{2} + 16608 T^{4} + 847488 T^{6} + 55563551 T^{8} + 6712952448 T^{10} + 1042023138528 T^{12} + 95420407864512 T^{14} + 3936588805702081 T^{16} )^{2} \))(\( ( 1 + 82 T^{2} - 1197 T^{4} + 649522 T^{6} + 62742241 T^{8} )^{4} \))(\( ( 1 + 48 T + 1280 T^{2} + 24576 T^{3} + 373030 T^{4} + 4735908 T^{5} + 52673264 T^{6} + 535621992 T^{7} + 5154774259 T^{8} + 47670357288 T^{9} + 417224924144 T^{10} + 3338668326852 T^{11} + 23404738160230 T^{12} + 137233845018624 T^{13} + 636136052430080 T^{14} + 2123104074985392 T^{15} + 3936588805702081 T^{16} )^{2} \))
$97$ (\( 1 + 5 T + 97 T^{2} \))(\( 1 + 6 T + 97 T^{2} \))(\( 1 - 13 T + 97 T^{2} \))(\( 1 - 14 T + 97 T^{2} \))(\( 1 + 13 T + 97 T^{2} \))(\( 1 - 5 T + 97 T^{2} \))(\( 1 + 7 T + 97 T^{2} \))(\( 1 + 12 T + 97 T^{2} \))(\( 1 - 13 T + 97 T^{2} \))(\( 1 + 10 T + 97 T^{2} \))(\( 1 + 13 T + 97 T^{2} \))(\( 1 - 12 T + 97 T^{2} \))(\( 1 - 7 T + 97 T^{2} \))(\( 1 - 22 T + 287 T^{2} - 2134 T^{3} + 9409 T^{4} \))(\( 1 + 66 T^{2} + 9409 T^{4} \))(\( 1 + 192 T^{2} + 9409 T^{4} \))(\( 1 - 48 T^{2} + 9409 T^{4} \))(\( 1 - 94 T^{2} + 9409 T^{4} \))(\( 1 + 22 T + 287 T^{2} + 2134 T^{3} + 9409 T^{4} \))(\( 1 + 2 T + 187 T^{2} + 194 T^{3} + 9409 T^{4} \))(\( 1 + 96 T^{2} + 9409 T^{4} \))(\( 1 + 144 T^{2} + 9409 T^{4} \))(\( 1 + 16 T + 238 T^{2} + 1552 T^{3} + 9409 T^{4} \))(\( 1 - 2 T + 187 T^{2} - 194 T^{3} + 9409 T^{4} \))(\( ( 1 - 288 T^{2} + 38976 T^{4} - 2709792 T^{6} + 88529281 T^{8} )^{2} \))(\( ( 1 - 132 T^{2} + 34546 T^{4} - 2728224 T^{6} + 439608027 T^{8} - 25669859616 T^{10} + 3058332541426 T^{12} - 109952304650628 T^{14} + 7837433594376961 T^{16} )^{2} \))(\( ( 1 - 288 T^{2} + 38304 T^{4} - 2709792 T^{6} + 88529281 T^{8} )^{4} \))(\( ( 1 - 12 T + 97 T^{2} )^{2} \))(\( ( 1 - 10 T + 97 T^{2} )^{2} \))(\( ( 1 + 10 T + 97 T^{2} )^{2} \))(\( ( 1 - 13 T + 97 T^{2} )^{2} \))(\( ( 1 + 12 T + 97 T^{2} )^{2} \))(\( ( 1 + 7 T + 97 T^{2} )^{2} \))(\( ( 1 - 5 T + 97 T^{2} )^{2} \))(\( ( 1 - 6 T + 97 T^{2} )^{2} \))(\( ( 1 - 14 T + 97 T^{2} )^{2} \))(\( ( 1 + 14 T + 97 T^{2} )^{2} \))(\( ( 1 - 13 T + 97 T^{2} )^{2} \))(\( ( 1 + 6 T + 97 T^{2} )^{2} \))(\( ( 1 - 2 T + 187 T^{2} - 194 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 + 16 T + 238 T^{2} + 1552 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 + 144 T^{2} + 9409 T^{4} )^{2} \))(\( ( 1 + 96 T^{2} + 9409 T^{4} )^{2} \))(\( ( 1 - 16 T + 238 T^{2} - 1552 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 - 94 T^{2} + 9409 T^{4} )^{2} \))(\( ( 1 - 48 T^{2} + 9409 T^{4} )^{2} \))(\( ( 1 + 192 T^{2} + 9409 T^{4} )^{2} \))(\( ( 1 + 66 T^{2} + 9409 T^{4} )^{2} \))(\( ( 1 - 22 T + 287 T^{2} - 2134 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 - 288 T^{2} + 38976 T^{4} - 2709792 T^{6} + 88529281 T^{8} )^{4} \))(\( ( 1 - 60 T^{2} + 11318 T^{4} - 564540 T^{6} + 88529281 T^{8} )^{4} \))(\( ( 1 - 132 T^{2} + 34546 T^{4} - 2728224 T^{6} + 439608027 T^{8} - 25669859616 T^{10} + 3058332541426 T^{12} - 109952304650628 T^{14} + 7837433594376961 T^{16} )^{2} \))
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