Properties

Label 810.2
Level 810
Weight 2
Dimension 4224
Nonzero newspaces 12
Newform subspaces 69
Sturm bound 69984
Trace bound 4

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Defining parameters

Level: \( N \) = \( 810 = 2 \cdot 3^{4} \cdot 5 \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 12 \)
Newform subspaces: \( 69 \)
Sturm bound: \(69984\)
Trace bound: \(4\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(810))\).

Total New Old
Modular forms 18360 4224 14136
Cusp forms 16633 4224 12409
Eisenstein series 1727 0 1727

Trace form

\( 4224q - 6q^{5} - 12q^{7} - 6q^{8} + O(q^{10}) \) \( 4224q - 6q^{5} - 12q^{7} - 6q^{8} - 6q^{10} - 30q^{11} - 24q^{13} - 12q^{14} - 24q^{17} + 18q^{18} + 36q^{19} + 30q^{20} + 108q^{21} + 42q^{22} + 156q^{23} + 36q^{25} + 180q^{26} + 108q^{27} + 48q^{28} + 168q^{29} + 54q^{30} + 72q^{31} + 108q^{33} + 54q^{34} + 132q^{35} + 36q^{36} + 60q^{37} + 66q^{38} + 18q^{40} + 102q^{41} + 78q^{43} + 12q^{44} + 54q^{45} + 24q^{46} + 228q^{47} + 120q^{49} + 60q^{50} + 126q^{51} + 180q^{53} + 84q^{55} + 12q^{56} + 108q^{57} - 24q^{58} + 162q^{59} + 36q^{61} - 48q^{62} + 108q^{63} - 6q^{64} - 12q^{65} - 144q^{66} + 90q^{67} - 60q^{68} - 252q^{69} + 24q^{70} - 240q^{71} - 144q^{72} - 60q^{73} - 228q^{74} + 30q^{76} - 396q^{77} - 288q^{78} + 192q^{79} - 24q^{80} - 288q^{81} - 12q^{82} - 168q^{83} - 72q^{84} + 108q^{85} - 234q^{86} - 576q^{87} + 42q^{88} - 204q^{89} - 144q^{90} + 36q^{91} - 132q^{92} - 252q^{93} + 36q^{94} + 36q^{95} - 36q^{96} + 102q^{97} - 174q^{98} - 36q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(810))\)

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
810.2.a \(\chi_{810}(1, \cdot)\) 810.2.a.a 1 1
810.2.a.b 1
810.2.a.c 1
810.2.a.d 1
810.2.a.e 1
810.2.a.f 1
810.2.a.g 1
810.2.a.h 1
810.2.a.i 2
810.2.a.j 2
810.2.a.k 2
810.2.a.l 2
810.2.c \(\chi_{810}(649, \cdot)\) 810.2.c.a 2 1
810.2.c.b 2
810.2.c.c 2
810.2.c.d 2
810.2.c.e 4
810.2.c.f 4
810.2.c.g 8
810.2.e \(\chi_{810}(271, \cdot)\) 810.2.e.a 2 2
810.2.e.b 2
810.2.e.c 2
810.2.e.d 2
810.2.e.e 2
810.2.e.f 2
810.2.e.g 2
810.2.e.h 2
810.2.e.i 2
810.2.e.j 2
810.2.e.k 2
810.2.e.l 2
810.2.e.m 4
810.2.e.n 4
810.2.f \(\chi_{810}(323, \cdot)\) 810.2.f.a 8 2
810.2.f.b 8
810.2.f.c 16
810.2.f.d 16
810.2.i \(\chi_{810}(109, \cdot)\) 810.2.i.a 4 2
810.2.i.b 4
810.2.i.c 4
810.2.i.d 4
810.2.i.e 4
810.2.i.f 4
810.2.i.g 8
810.2.i.h 8
810.2.i.i 8
810.2.k \(\chi_{810}(91, \cdot)\) 810.2.k.a 6 6
810.2.k.b 12
810.2.k.c 12
810.2.k.d 18
810.2.k.e 24
810.2.m \(\chi_{810}(53, \cdot)\) 810.2.m.a 8 4
810.2.m.b 8
810.2.m.c 8
810.2.m.d 8
810.2.m.e 8
810.2.m.f 8
810.2.m.g 8
810.2.m.h 8
810.2.m.i 16
810.2.m.j 16
810.2.p \(\chi_{810}(19, \cdot)\) 810.2.p.a 108 6
810.2.q \(\chi_{810}(31, \cdot)\) 810.2.q.a 144 18
810.2.q.b 162
810.2.q.c 162
810.2.q.d 180
810.2.s \(\chi_{810}(17, \cdot)\) 810.2.s.a 216 12
810.2.v \(\chi_{810}(49, \cdot)\) 810.2.v.a 972 18
810.2.w \(\chi_{810}(23, \cdot)\) 810.2.w.a 1944 36

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(810))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(810)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(15))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(18))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(27))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(30))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(45))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(54))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(81))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(90))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(135))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(162))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(270))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(405))\)\(^{\oplus 2}\)

Hecke characteristic polynomials

$p$ $F_p(T)$
$2$ (\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( ( 1 + T^{2} )^{2} \))(\( ( 1 + T^{2} )^{2} \))(\( ( 1 + T^{2} )^{4} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( ( 1 + T + T^{2} )^{2} \))(\( ( 1 - T + T^{2} )^{2} \))(\( ( 1 + T^{4} )^{2} \))(\( ( 1 + T^{4} )^{2} \))(\( ( 1 + T^{4} )^{4} \))(\( ( 1 + T^{4} )^{4} \))(\( 1 - T^{2} + T^{4} \))(\( 1 - T^{2} + T^{4} \))(\( 1 - T^{2} + T^{4} \))(\( 1 - T^{2} + T^{4} \))(\( 1 - T^{2} + T^{4} \))(\( 1 - T^{2} + T^{4} \))(\( ( 1 - T^{2} + T^{4} )^{2} \))(\( ( 1 - T^{2} + T^{4} )^{2} \))(\( ( 1 - T^{2} + T^{4} )^{2} \))(\( 1 + T^{3} + T^{6} \))(\( ( 1 + T^{3} + T^{6} )^{2} \))(\( ( 1 - T^{3} + T^{6} )^{2} \))(\( ( 1 - T^{3} + T^{6} )^{3} \))(\( 1 - T^{4} + T^{8} \))(\( 1 - T^{4} + T^{8} \))(\( 1 - T^{4} + T^{8} \))(\( 1 - T^{4} + T^{8} \))(\( 1 - T^{4} + T^{8} \))(\( 1 - T^{4} + T^{8} \))(\( 1 - T^{4} + T^{8} \))(\( 1 - T^{4} + T^{8} \))(\( ( 1 - T^{4} + T^{8} )^{2} \))(\( ( 1 - T^{4} + T^{8} )^{2} \))
$3$ 1
$5$ (\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 - T )^{2} \))(\( 1 + 4 T + 5 T^{2} \))(\( 1 + 2 T + 5 T^{2} \))(\( 1 - 2 T + 5 T^{2} \))(\( 1 - 4 T + 5 T^{2} \))(\( 1 + 4 T + 8 T^{2} + 20 T^{3} + 25 T^{4} \))(\( 1 - 4 T + 8 T^{2} - 20 T^{3} + 25 T^{4} \))(\( 1 + 9 T^{2} + 56 T^{4} + 225 T^{6} + 625 T^{8} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( ( 1 + T + T^{2} )^{2} \))(\( ( 1 - T + T^{2} )^{2} \))(\( ( 1 + 8 T^{2} + 25 T^{4} )^{2} \))(\( ( 1 + 2 T^{2} + 25 T^{4} )^{2} \))(\( 1 - 16 T^{2} + 112 T^{4} - 496 T^{6} + 2146 T^{8} - 12400 T^{10} + 70000 T^{12} - 250000 T^{14} + 390625 T^{16} \))(\( 1 - 16 T^{2} + 145 T^{4} - 976 T^{6} + 5296 T^{8} - 24400 T^{10} + 90625 T^{12} - 250000 T^{14} + 390625 T^{16} \))(\( 1 + 4 T + 11 T^{2} + 20 T^{3} + 25 T^{4} \))(\( 1 + 4 T + 11 T^{2} + 20 T^{3} + 25 T^{4} \))(\( 1 + 2 T - T^{2} + 10 T^{3} + 25 T^{4} \))(\( 1 - 2 T - T^{2} - 10 T^{3} + 25 T^{4} \))(\( 1 - 4 T + 11 T^{2} - 20 T^{3} + 25 T^{4} \))(\( 1 - 4 T + 11 T^{2} - 20 T^{3} + 25 T^{4} \))(\( ( 1 - 9 T^{2} + 25 T^{4} )^{2} \))(\( 1 + 9 T^{2} + 56 T^{4} + 225 T^{6} + 625 T^{8} \))(\( 1 + 9 T^{2} + 56 T^{4} + 225 T^{6} + 625 T^{8} \))(\( 1 - T^{3} + T^{6} \))(\( ( 1 - T^{3} + T^{6} )^{2} \))(\( ( 1 - T^{3} + T^{6} )^{2} \))(\( ( 1 + T^{3} + T^{6} )^{3} \))(\( ( 1 + 6 T + 17 T^{2} + 30 T^{3} + 25 T^{4} )^{2} \))(\( 1 - 8 T^{2} + 39 T^{4} - 200 T^{6} + 625 T^{8} \))(\( 1 - 8 T^{2} + 39 T^{4} - 200 T^{6} + 625 T^{8} \))(\( 1 - 8 T^{2} + 39 T^{4} - 200 T^{6} + 625 T^{8} \))(\( ( 1 + 8 T^{2} + 25 T^{4} )^{2} \))(\( 1 - 8 T^{2} + 39 T^{4} - 200 T^{6} + 625 T^{8} \))(\( 1 - 8 T^{2} + 39 T^{4} - 200 T^{6} + 625 T^{8} \))(\( ( 1 - 6 T + 17 T^{2} - 30 T^{3} + 25 T^{4} )^{2} \))(\( 1 - 16 T^{2} + 145 T^{4} - 976 T^{6} + 5296 T^{8} - 24400 T^{10} + 90625 T^{12} - 250000 T^{14} + 390625 T^{16} \))(\( ( 1 + 16 T^{2} + 111 T^{4} + 400 T^{6} + 625 T^{8} )^{2} \))
$7$ (\( 1 + 4 T + 7 T^{2} \))(\( 1 + T + 7 T^{2} \))(\( 1 + T + 7 T^{2} \))(\( 1 - 5 T + 7 T^{2} \))(\( 1 + 4 T + 7 T^{2} \))(\( 1 + T + 7 T^{2} \))(\( 1 + T + 7 T^{2} \))(\( 1 - 5 T + 7 T^{2} \))(\( 1 - T + 6 T^{2} - 7 T^{3} + 49 T^{4} \))(\( 1 - 4 T + 15 T^{2} - 28 T^{3} + 49 T^{4} \))(\( 1 - T + 6 T^{2} - 7 T^{3} + 49 T^{4} \))(\( 1 - 4 T + 15 T^{2} - 28 T^{3} + 49 T^{4} \))(\( 1 - 13 T^{2} + 49 T^{4} \))(\( 1 - 13 T^{2} + 49 T^{4} \))(\( 1 - 13 T^{2} + 49 T^{4} \))(\( 1 - 13 T^{2} + 49 T^{4} \))(\( 1 - 8 T^{2} + 18 T^{4} - 392 T^{6} + 2401 T^{8} \))(\( 1 - 8 T^{2} + 18 T^{4} - 392 T^{6} + 2401 T^{8} \))(\( ( 1 - 17 T^{2} + 156 T^{4} - 833 T^{6} + 2401 T^{8} )^{2} \))(\( 1 + 2 T - 3 T^{2} + 14 T^{3} + 49 T^{4} \))(\( ( 1 - 5 T + 7 T^{2} )( 1 + T + 7 T^{2} ) \))(\( ( 1 + T + 7 T^{2} )( 1 + 4 T + 7 T^{2} ) \))(\( 1 + 2 T - 3 T^{2} + 14 T^{3} + 49 T^{4} \))(\( 1 + 2 T - 3 T^{2} + 14 T^{3} + 49 T^{4} \))(\( ( 1 - 5 T + 7 T^{2} )( 1 + 4 T + 7 T^{2} ) \))(\( ( 1 + T + 7 T^{2} )( 1 + 4 T + 7 T^{2} ) \))(\( 1 + 2 T - 3 T^{2} + 14 T^{3} + 49 T^{4} \))(\( 1 + 2 T - 3 T^{2} + 14 T^{3} + 49 T^{4} \))(\( ( 1 - 5 T + 7 T^{2} )( 1 + 4 T + 7 T^{2} ) \))(\( 1 + 2 T - 3 T^{2} + 14 T^{3} + 49 T^{4} \))(\( ( 1 - 5 T + 7 T^{2} )( 1 + T + 7 T^{2} ) \))(\( 1 + 4 T + T^{2} + 4 T^{3} + 64 T^{4} + 28 T^{5} + 49 T^{6} + 1372 T^{7} + 2401 T^{8} \))(\( 1 + 4 T + T^{2} + 4 T^{3} + 64 T^{4} + 28 T^{5} + 49 T^{6} + 1372 T^{7} + 2401 T^{8} \))(\( ( 1 - T + 7 T^{2} )^{4}( 1 - 13 T^{2} + 49 T^{4} )^{2} \))(\( ( 1 - 8 T + 32 T^{2} - 96 T^{3} + 263 T^{4} - 672 T^{5} + 1568 T^{6} - 2744 T^{7} + 2401 T^{8} )^{2} \))(\( ( 1 + 8 T + 32 T^{2} + 112 T^{3} + 296 T^{4} + 400 T^{5} - 2856 T^{7} - 12494 T^{8} - 19992 T^{9} + 137200 T^{11} + 710696 T^{12} + 1882384 T^{13} + 3764768 T^{14} + 6588344 T^{15} + 5764801 T^{16} )^{2} \))(\( ( 1 + 2 T + 2 T^{2} + 4 T^{3} - 7 T^{4} + 40 T^{5} + 102 T^{6} + 558 T^{7} + 3280 T^{8} + 3906 T^{9} + 4998 T^{10} + 13720 T^{11} - 16807 T^{12} + 67228 T^{13} + 235298 T^{14} + 1647086 T^{15} + 5764801 T^{16} )^{2} \))(\( ( 1 + 2 T^{2} + 49 T^{4} )( 1 + 11 T^{2} + 49 T^{4} ) \))(\( 1 + 10 T^{2} + 51 T^{4} + 490 T^{6} + 2401 T^{8} \))(\( ( 1 - 13 T^{2} + 49 T^{4} )( 1 + 11 T^{2} + 49 T^{4} ) \))(\( ( 1 - 13 T^{2} + 49 T^{4} )( 1 + 11 T^{2} + 49 T^{4} ) \))(\( 1 + 10 T^{2} + 51 T^{4} + 490 T^{6} + 2401 T^{8} \))(\( ( 1 + 2 T^{2} + 49 T^{4} )( 1 + 11 T^{2} + 49 T^{4} ) \))(\( ( 1 + 3 T + 13 T^{2} + 30 T^{3} + 72 T^{4} + 210 T^{5} + 637 T^{6} + 1029 T^{7} + 2401 T^{8} )^{2} \))(\( ( 1 - 3 T + 2 T^{2} - 21 T^{3} + 49 T^{4} )^{2}( 1 + 3 T + 2 T^{2} + 21 T^{3} + 49 T^{4} )^{2} \))(\( ( 1 - 3 T + 13 T^{2} - 30 T^{3} + 72 T^{4} - 210 T^{5} + 637 T^{6} - 1029 T^{7} + 2401 T^{8} )^{2} \))(\( 1 - 6 T + 24 T^{2} - 64 T^{3} + 108 T^{4} - 108 T^{5} - 27 T^{6} - 756 T^{7} + 5292 T^{8} - 21952 T^{9} + 57624 T^{10} - 100842 T^{11} + 117649 T^{12} \))(\( 1 + 12 T + 87 T^{2} + 451 T^{3} + 1896 T^{4} + 6726 T^{5} + 20881 T^{6} + 57339 T^{7} + 139842 T^{8} + 304054 T^{9} + 595614 T^{10} + 1152006 T^{11} + 2598415 T^{12} + 8064042 T^{13} + 29185086 T^{14} + 104290522 T^{15} + 335760642 T^{16} + 963696573 T^{17} + 2456628769 T^{18} + 5539150218 T^{19} + 10930062696 T^{20} + 18199476757 T^{21} + 24575346663 T^{22} + 23727920916 T^{23} + 13841287201 T^{24} \))(\( 1 - 6 T + 27 T^{2} - 59 T^{3} + 108 T^{4} + 156 T^{5} - 839 T^{6} + 4563 T^{7} - 9576 T^{8} + 25678 T^{9} + 12288 T^{10} - 110610 T^{11} + 654427 T^{12} - 774270 T^{13} + 602112 T^{14} + 8807554 T^{15} - 22991976 T^{16} + 76690341 T^{17} - 98707511 T^{18} + 128472708 T^{19} + 622598508 T^{20} - 2380862813 T^{21} + 7626831723 T^{22} - 11863960458 T^{23} + 13841287201 T^{24} \))(\( 1 + 3 T - 21 T^{2} - 78 T^{3} + 102 T^{4} + 753 T^{5} + 1419 T^{6} - 1203 T^{7} - 21936 T^{8} - 39298 T^{9} + 85149 T^{10} + 348282 T^{11} + 435438 T^{12} - 683406 T^{13} - 5419080 T^{14} - 6323076 T^{15} + 13904181 T^{16} + 31374603 T^{17} + 26798739 T^{18} + 219622221 T^{19} + 681304869 T^{20} - 2168815068 T^{21} - 13011211080 T^{22} - 11486004642 T^{23} + 51228845262 T^{24} + 286825203126 T^{25} + 490867040349 T^{26} - 1585816047886 T^{27} - 6196377062064 T^{28} - 2378724071829 T^{29} + 19640786538219 T^{30} + 72957424836471 T^{31} + 69178753430598 T^{32} - 370309797775554 T^{33} - 697891541961621 T^{34} + 697891541961621 T^{35} + 1628413597910449 T^{36} \))(\( ( 1 - 2 T - 3 T^{2} - 14 T^{3} + 49 T^{4} )^{2}( 1 + 10 T^{2} + 51 T^{4} + 490 T^{6} + 2401 T^{8} ) \))(\( ( 1 + 5 T + 7 T^{2} )^{4}( 1 + 2 T^{2} + 49 T^{4} )^{2} \))(\( ( 1 + 4 T + 8 T^{2} - 24 T^{3} - 97 T^{4} - 168 T^{5} + 392 T^{6} + 1372 T^{7} + 2401 T^{8} )^{2} \))(\( ( 1 + 4 T + 5 T^{2} - 12 T^{3} - 76 T^{4} - 84 T^{5} + 245 T^{6} + 1372 T^{7} + 2401 T^{8} )^{2} \))(\( ( 1 - 2 T + 5 T^{2} - 18 T^{3} + 8 T^{4} - 126 T^{5} + 245 T^{6} - 686 T^{7} + 2401 T^{8} )^{2} \))(\( ( 1 - 2 T + 2 T^{2} + 24 T^{3} - 73 T^{4} + 168 T^{5} + 98 T^{6} - 686 T^{7} + 2401 T^{8} )^{2} \))(\( ( 1 - 4 T + 7 T^{2} )^{4}( 1 + 11 T^{2} + 49 T^{4} )^{2} \))(\( ( 1 - 2 T - 3 T^{2} - 14 T^{3} + 49 T^{4} )^{2}( 1 + 10 T^{2} + 51 T^{4} + 490 T^{6} + 2401 T^{8} ) \))(\( ( 1 + 2 T + 5 T^{2} + 10 T^{3} + 23 T^{4} - 68 T^{5} - 144 T^{6} - 1500 T^{7} - 4070 T^{8} - 10500 T^{9} - 7056 T^{10} - 23324 T^{11} + 55223 T^{12} + 168070 T^{13} + 588245 T^{14} + 1647086 T^{15} + 5764801 T^{16} )^{2} \))(\( ( 1 - 4 T + 5 T^{2} + 4 T^{3} - 13 T^{4} + 40 T^{5} - 144 T^{6} + 816 T^{7} - 3314 T^{8} + 5712 T^{9} - 7056 T^{10} + 13720 T^{11} - 31213 T^{12} + 67228 T^{13} + 588245 T^{14} - 3294172 T^{15} + 5764801 T^{16} )^{2} \))
$11$ (\( 1 - 3 T + 11 T^{2} \))(\( 1 + 6 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 3 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 - 6 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 3 T + 16 T^{2} + 33 T^{3} + 121 T^{4} \))(\( 1 + 10 T^{2} + 121 T^{4} \))(\( 1 - 3 T + 16 T^{2} - 33 T^{3} + 121 T^{4} \))(\( 1 + 10 T^{2} + 121 T^{4} \))(\( ( 1 + 4 T + 11 T^{2} )^{2} \))(\( ( 1 + 2 T + 11 T^{2} )^{2} \))(\( ( 1 - 2 T + 11 T^{2} )^{2} \))(\( ( 1 - 4 T + 11 T^{2} )^{2} \))(\( ( 1 - 2 T + 17 T^{2} - 22 T^{3} + 121 T^{4} )^{2} \))(\( ( 1 + 2 T + 17 T^{2} + 22 T^{3} + 121 T^{4} )^{2} \))(\( ( 1 + 14 T^{4} + 14641 T^{8} )^{2} \))(\( 1 - 3 T - 2 T^{2} - 33 T^{3} + 121 T^{4} \))(\( 1 - 11 T^{2} + 121 T^{4} \))(\( 1 - 11 T^{2} + 121 T^{4} \))(\( 1 + 3 T - 2 T^{2} + 33 T^{3} + 121 T^{4} \))(\( 1 - 6 T + 25 T^{2} - 66 T^{3} + 121 T^{4} \))(\( 1 - 11 T^{2} + 121 T^{4} \))(\( 1 - 11 T^{2} + 121 T^{4} \))(\( 1 + 6 T + 25 T^{2} + 66 T^{3} + 121 T^{4} \))(\( 1 - 3 T - 2 T^{2} - 33 T^{3} + 121 T^{4} \))(\( 1 - 11 T^{2} + 121 T^{4} \))(\( 1 + 3 T - 2 T^{2} + 33 T^{3} + 121 T^{4} \))(\( 1 - 11 T^{2} + 121 T^{4} \))(\( 1 - 10 T^{2} - 21 T^{4} - 1210 T^{6} + 14641 T^{8} \))(\( 1 - 10 T^{2} - 21 T^{4} - 1210 T^{6} + 14641 T^{8} \))(\( ( 1 - 20 T^{2} + 121 T^{4} )^{4} \))(\( ( 1 - 4 T^{2} - 138 T^{4} - 484 T^{6} + 14641 T^{8} )^{2} \))(\( ( 1 - 44 T^{2} + 1054 T^{4} - 17672 T^{6} + 223411 T^{8} - 2138312 T^{10} + 15431614 T^{12} - 77948684 T^{14} + 214358881 T^{16} )^{2} \))(\( ( 1 - 20 T^{2} + 184 T^{4} - 1724 T^{6} + 21454 T^{8} - 208604 T^{10} + 2693944 T^{12} - 35431220 T^{14} + 214358881 T^{16} )^{2} \))(\( ( 1 + 4 T + 5 T^{2} + 44 T^{3} + 121 T^{4} )^{2} \))(\( ( 1 - 2 T - 7 T^{2} - 22 T^{3} + 121 T^{4} )^{2} \))(\( ( 1 + 5 T + 14 T^{2} + 55 T^{3} + 121 T^{4} )^{2} \))(\( ( 1 - 5 T + 14 T^{2} - 55 T^{3} + 121 T^{4} )^{2} \))(\( ( 1 + 2 T - 7 T^{2} + 22 T^{3} + 121 T^{4} )^{2} \))(\( ( 1 - 4 T + 5 T^{2} - 44 T^{3} + 121 T^{4} )^{2} \))(\( ( 1 - 6 T + 18 T^{2} - 36 T^{3} + 47 T^{4} - 396 T^{5} + 2178 T^{6} - 7986 T^{7} + 14641 T^{8} )( 1 + 6 T + 18 T^{2} + 36 T^{3} + 47 T^{4} + 396 T^{5} + 2178 T^{6} + 7986 T^{7} + 14641 T^{8} ) \))(\( ( 1 - 3 T^{2} - 112 T^{4} - 363 T^{6} + 14641 T^{8} )^{2} \))(\( ( 1 - 6 T + 18 T^{2} - 36 T^{3} + 47 T^{4} - 396 T^{5} + 2178 T^{6} - 7986 T^{7} + 14641 T^{8} )( 1 + 6 T + 18 T^{2} + 36 T^{3} + 47 T^{4} + 396 T^{5} + 2178 T^{6} + 7986 T^{7} + 14641 T^{8} ) \))(\( 1 - 3 T + 18 T^{2} + 135 T^{4} - 435 T^{5} + 3547 T^{6} - 4785 T^{7} + 16335 T^{8} + 263538 T^{10} - 483153 T^{11} + 1771561 T^{12} \))(\( 1 + 3 T - 27 T^{2} - 63 T^{3} + 153 T^{4} - 312 T^{5} + 2252 T^{6} + 18765 T^{7} - 31194 T^{8} - 162459 T^{9} + 122760 T^{10} + 401436 T^{11} - 267351 T^{12} + 4415796 T^{13} + 14853960 T^{14} - 216232929 T^{15} - 456711354 T^{16} + 3022122015 T^{17} + 3989555372 T^{18} - 6079997352 T^{19} + 32796908793 T^{20} - 148550704533 T^{21} - 700310464227 T^{22} + 855935011833 T^{23} + 3138428376721 T^{24} \))(\( 1 + 9 T + 21 T^{2} - 81 T^{3} - 543 T^{4} - 918 T^{5} + 98 T^{6} - 1503 T^{7} + 3492 T^{8} + 177849 T^{9} + 669150 T^{10} - 707814 T^{11} - 9226323 T^{12} - 7785954 T^{13} + 80967150 T^{14} + 236717019 T^{15} + 51126372 T^{16} - 242059653 T^{17} + 173612978 T^{18} - 17889222978 T^{19} - 116396872383 T^{20} - 190993762971 T^{21} + 544685916621 T^{22} + 2567805035499 T^{23} + 3138428376721 T^{24} \))(\( 1 + 9 T + 63 T^{2} + 369 T^{3} + 1935 T^{4} + 9198 T^{5} + 41205 T^{6} + 181548 T^{7} + 769131 T^{8} + 3152052 T^{9} + 12608613 T^{10} + 48971196 T^{11} + 184754094 T^{12} + 679257702 T^{13} + 2459299437 T^{14} + 8713424385 T^{15} + 30218732577 T^{16} + 103326611481 T^{17} + 345938198497 T^{18} + 1136592726291 T^{19} + 3656466641817 T^{20} + 11597567856435 T^{21} + 36006603057117 T^{22} + 109395132164802 T^{23} + 327303147520734 T^{24} + 954310070526516 T^{25} + 2702768173642053 T^{26} + 7432373735311932 T^{27} + 19949277320791731 T^{28} + 51797763176085828 T^{29} + 129318941262788805 T^{30} + 317539906299877338 T^{31} + 734815927983571335 T^{32} + 1541404574514375219 T^{33} + 2894832981405046143 T^{34} + 4549023256493643939 T^{35} + 5559917313492231481 T^{36} \))(\( ( 1 + 6 T + 29 T^{2} + 102 T^{3} + 300 T^{4} + 1122 T^{5} + 3509 T^{6} + 7986 T^{7} + 14641 T^{8} )^{2} \))(\( ( 1 + 20 T^{2} + 279 T^{4} + 2420 T^{6} + 14641 T^{8} )^{2} \))(\( ( 1 - 6 T + 25 T^{2} - 66 T^{3} + 121 T^{4} )^{2}( 1 + 6 T + 25 T^{2} + 66 T^{3} + 121 T^{4} )^{2} \))(\( 1 + 16 T^{2} + 25 T^{4} - 176 T^{6} + 7744 T^{8} - 21296 T^{10} + 366025 T^{12} + 28344976 T^{14} + 214358881 T^{16} \))(\( 1 + 16 T^{2} + 25 T^{4} - 176 T^{6} + 7744 T^{8} - 21296 T^{10} + 366025 T^{12} + 28344976 T^{14} + 214358881 T^{16} \))(\( ( 1 + 20 T^{2} + 279 T^{4} + 2420 T^{6} + 14641 T^{8} )^{2} \))(\( ( 1 + 20 T^{2} + 279 T^{4} + 2420 T^{6} + 14641 T^{8} )^{2} \))(\( ( 1 - 6 T + 29 T^{2} - 102 T^{3} + 300 T^{4} - 1122 T^{5} + 3509 T^{6} - 7986 T^{7} + 14641 T^{8} )^{2} \))(\( 1 + 20 T^{2} + 216 T^{4} + 232 T^{6} - 22078 T^{8} - 332340 T^{10} + 240448 T^{12} + 49530524 T^{14} + 807845043 T^{16} + 5993193404 T^{18} + 3520399168 T^{20} - 588760582740 T^{22} - 4732615374718 T^{24} + 6017482507432 T^{26} + 677900529371736 T^{28} + 7594996671664820 T^{30} + 45949729863572161 T^{32} \))(\( 1 + 20 T^{2} + 216 T^{4} + 232 T^{6} - 22078 T^{8} - 332340 T^{10} + 240448 T^{12} + 49530524 T^{14} + 807845043 T^{16} + 5993193404 T^{18} + 3520399168 T^{20} - 588760582740 T^{22} - 4732615374718 T^{24} + 6017482507432 T^{26} + 677900529371736 T^{28} + 7594996671664820 T^{30} + 45949729863572161 T^{32} \))
$13$ (\( 1 + 4 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 - 5 T + 13 T^{2} \))(\( 1 + T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 - 5 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 + T + 13 T^{2} \))(\( 1 + 2 T - 6 T^{2} + 26 T^{3} + 169 T^{4} \))(\( 1 - 4 T + 27 T^{2} - 52 T^{3} + 169 T^{4} \))(\( 1 + 2 T - 6 T^{2} + 26 T^{3} + 169 T^{4} \))(\( 1 - 4 T + 27 T^{2} - 52 T^{3} + 169 T^{4} \))(\( 1 - 17 T^{2} + 169 T^{4} \))(\( ( 1 - 4 T + 13 T^{2} )( 1 + 4 T + 13 T^{2} ) \))(\( ( 1 - 4 T + 13 T^{2} )( 1 + 4 T + 13 T^{2} ) \))(\( 1 - 17 T^{2} + 169 T^{4} \))(\( ( 1 - 20 T^{2} + 169 T^{4} )^{2} \))(\( ( 1 - 20 T^{2} + 169 T^{4} )^{2} \))(\( ( 1 - 7 T + 13 T^{2} )^{4}( 1 + 7 T + 13 T^{2} )^{4} \))(\( 1 - T - 12 T^{2} - 13 T^{3} + 169 T^{4} \))(\( ( 1 - 5 T + 13 T^{2} )( 1 + 7 T + 13 T^{2} ) \))(\( 1 - T - 12 T^{2} - 13 T^{3} + 169 T^{4} \))(\( ( 1 - 2 T + 13 T^{2} )( 1 + 7 T + 13 T^{2} ) \))(\( 1 - 4 T + 3 T^{2} - 52 T^{3} + 169 T^{4} \))(\( ( 1 - 2 T + 13 T^{2} )( 1 + 7 T + 13 T^{2} ) \))(\( 1 - T - 12 T^{2} - 13 T^{3} + 169 T^{4} \))(\( 1 - 4 T + 3 T^{2} - 52 T^{3} + 169 T^{4} \))(\( ( 1 - 2 T + 13 T^{2} )( 1 + 7 T + 13 T^{2} ) \))(\( ( 1 - 2 T + 13 T^{2} )( 1 + 7 T + 13 T^{2} ) \))(\( 1 - T - 12 T^{2} - 13 T^{3} + 169 T^{4} \))(\( ( 1 - 5 T + 13 T^{2} )( 1 + 7 T + 13 T^{2} ) \))(\( 1 + 4 T - 11 T^{2} + 4 T^{3} + 352 T^{4} + 52 T^{5} - 1859 T^{6} + 8788 T^{7} + 28561 T^{8} \))(\( 1 + 4 T - 11 T^{2} + 4 T^{3} + 352 T^{4} + 52 T^{5} - 1859 T^{6} + 8788 T^{7} + 28561 T^{8} \))(\( ( 1 + 6 T + 18 T^{2} + 24 T^{3} - 49 T^{4} + 312 T^{5} + 3042 T^{6} + 13182 T^{7} + 28561 T^{8} )^{2} \))(\( ( 1 - 142 T^{4} + 28561 T^{8} )^{2} \))(\( ( 1 + 24 T^{3} + 208 T^{4} - 648 T^{5} + 288 T^{6} - 4224 T^{7} + 738 T^{8} - 54912 T^{9} + 48672 T^{10} - 1423656 T^{11} + 5940688 T^{12} + 8911032 T^{13} + 815730721 T^{16} )^{2} \))(\( ( 1 - 24 T^{3} + 202 T^{4} - 216 T^{5} + 288 T^{6} - 3480 T^{7} + 60363 T^{8} - 45240 T^{9} + 48672 T^{10} - 474552 T^{11} + 5769322 T^{12} - 8911032 T^{13} + 815730721 T^{16} )^{2} \))(\( 1 + 17 T^{2} + 120 T^{4} + 2873 T^{6} + 28561 T^{8} \))(\( ( 1 - 4 T + 3 T^{2} - 52 T^{3} + 169 T^{4} )( 1 + 4 T + 3 T^{2} + 52 T^{3} + 169 T^{4} ) \))(\( 1 + 17 T^{2} + 120 T^{4} + 2873 T^{6} + 28561 T^{8} \))(\( 1 + 17 T^{2} + 120 T^{4} + 2873 T^{6} + 28561 T^{8} \))(\( ( 1 - 4 T + 3 T^{2} - 52 T^{3} + 169 T^{4} )( 1 + 4 T + 3 T^{2} + 52 T^{3} + 169 T^{4} ) \))(\( 1 + 17 T^{2} + 120 T^{4} + 2873 T^{6} + 28561 T^{8} \))(\( ( 1 - 2 T + 13 T^{2} )^{4}( 1 + 5 T + 13 T^{2} )^{4} \))(\( ( 1 + 13 T^{2} + 169 T^{4} )^{4} \))(\( ( 1 - 5 T + 13 T^{2} )^{4}( 1 + 2 T + 13 T^{2} )^{4} \))(\( 1 - 6 T + 24 T^{2} - 64 T^{3} + 36 T^{4} + 900 T^{5} - 4473 T^{6} + 11700 T^{7} + 6084 T^{8} - 140608 T^{9} + 685464 T^{10} - 2227758 T^{11} + 4826809 T^{12} \))(\( 1 - 9 T + 90 T^{2} - 509 T^{3} + 3330 T^{4} - 15453 T^{5} + 83341 T^{6} - 338391 T^{7} + 1617786 T^{8} - 6017393 T^{9} + 26508402 T^{10} - 91310481 T^{11} + 371633149 T^{12} - 1187036253 T^{13} + 4479919938 T^{14} - 13220212421 T^{15} + 46205585946 T^{16} - 125642209563 T^{17} + 402271088869 T^{18} - 969652833201 T^{19} + 2716383300930 T^{20} - 5397690180857 T^{21} + 12407264266410 T^{22} - 16129443546333 T^{23} + 23298085122481 T^{24} \))(\( 1 + 9 T + 66 T^{2} + 313 T^{3} + 1182 T^{4} + 3177 T^{5} + 4615 T^{6} - 9225 T^{7} - 118098 T^{8} - 533087 T^{9} - 1912536 T^{10} - 5329275 T^{11} - 17207915 T^{12} - 69280575 T^{13} - 323218584 T^{14} - 1171192139 T^{15} - 3372996978 T^{16} - 3425177925 T^{17} + 22275723535 T^{18} + 199352038509 T^{19} + 964193712222 T^{20} + 3319208303749 T^{21} + 9098660462034 T^{22} + 16129443546333 T^{23} + 23298085122481 T^{24} \))(\( 1 + 15 T + 120 T^{2} + 783 T^{3} + 4884 T^{4} + 27561 T^{5} + 137970 T^{6} + 651570 T^{7} + 2932230 T^{8} + 12254594 T^{9} + 48482262 T^{10} + 185040414 T^{11} + 664264395 T^{12} + 2254931793 T^{13} + 7546457520 T^{14} + 24525063117 T^{15} + 76975803666 T^{16} + 254573252937 T^{17} + 905268773301 T^{18} + 3309452288181 T^{19} + 13008910819554 T^{20} + 53881563668049 T^{21} + 215534373228720 T^{22} + 837240390218349 T^{23} + 3206277360165555 T^{24} + 11611011563566038 T^{25} + 39548470536970902 T^{26} + 129953834389369562 T^{27} + 404232805554393270 T^{28} + 1167717947942688090 T^{29} + 3214436804348703570 T^{30} + 8347540812789084933 T^{31} + 19230146267755327476 T^{32} + 40078554230033062731 T^{33} + 79849993101981580920 T^{34} + \)\(12\!\cdots\!95\)\( T^{35} + \)\(11\!\cdots\!29\)\( T^{36} \))(\( 1 + 12 T + 72 T^{2} + 192 T^{3} - 191 T^{4} - 3672 T^{5} - 11880 T^{6} - 5364 T^{7} + 64080 T^{8} - 69732 T^{9} - 2007720 T^{10} - 8067384 T^{11} - 5455151 T^{12} + 71288256 T^{13} + 347530248 T^{14} + 752982204 T^{15} + 815730721 T^{16} \))(\( ( 1 - 12 T + 45 T^{2} + 24 T^{3} - 556 T^{4} + 312 T^{5} + 7605 T^{6} - 26364 T^{7} + 28561 T^{8} )^{2} \))(\( ( 1 - 6 T + 18 T^{2} + 48 T^{3} - 313 T^{4} + 624 T^{5} + 3042 T^{6} - 13182 T^{7} + 28561 T^{8} )^{2} \))(\( ( 1 - 12 T + 72 T^{2} - 288 T^{3} + 1031 T^{4} - 3744 T^{5} + 12168 T^{6} - 26364 T^{7} + 28561 T^{8} )^{2} \))(\( ( 1 + 12 T + 72 T^{2} + 288 T^{3} + 1031 T^{4} + 3744 T^{5} + 12168 T^{6} + 26364 T^{7} + 28561 T^{8} )^{2} \))(\( ( 1 - 169 T^{4} + 28561 T^{8} )^{2} \))(\( ( 1 + 6 T + 45 T^{2} + 186 T^{3} + 848 T^{4} + 2418 T^{5} + 7605 T^{6} + 13182 T^{7} + 28561 T^{8} )^{2} \))(\( 1 + 12 T + 72 T^{2} + 192 T^{3} - 191 T^{4} - 3672 T^{5} - 11880 T^{6} - 5364 T^{7} + 64080 T^{8} - 69732 T^{9} - 2007720 T^{10} - 8067384 T^{11} - 5455151 T^{12} + 71288256 T^{13} + 347530248 T^{14} + 752982204 T^{15} + 815730721 T^{16} \))(\( ( 1 + 12 T + 78 T^{2} + 336 T^{3} + 925 T^{4} + 312 T^{5} - 13026 T^{6} - 87204 T^{7} - 367428 T^{8} - 1133652 T^{9} - 2201394 T^{10} + 685464 T^{11} + 26418925 T^{12} + 124754448 T^{13} + 376491102 T^{14} + 752982204 T^{15} + 815730721 T^{16} )^{2} \))(\( ( 1 - 12 T + 66 T^{2} - 240 T^{3} + 637 T^{4} - 96 T^{5} - 11022 T^{6} + 66348 T^{7} - 262596 T^{8} + 862524 T^{9} - 1862718 T^{10} - 210912 T^{11} + 18193357 T^{12} - 89110320 T^{13} + 318569394 T^{14} - 752982204 T^{15} + 815730721 T^{16} )^{2} \))
$17$ (\( 1 - 3 T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 + 3 T + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 + 9 T + 46 T^{2} + 153 T^{3} + 289 T^{4} \))(\( 1 + 22 T^{2} + 289 T^{4} \))(\( 1 - 9 T + 46 T^{2} - 153 T^{3} + 289 T^{4} \))(\( 1 + 22 T^{2} + 289 T^{4} \))(\( ( 1 - 2 T + 17 T^{2} )( 1 + 2 T + 17 T^{2} ) \))(\( ( 1 - 8 T + 17 T^{2} )( 1 + 8 T + 17 T^{2} ) \))(\( ( 1 - 8 T + 17 T^{2} )( 1 + 8 T + 17 T^{2} ) \))(\( ( 1 - 2 T + 17 T^{2} )( 1 + 2 T + 17 T^{2} ) \))(\( 1 - 18 T^{2} + 563 T^{4} - 5202 T^{6} + 83521 T^{8} \))(\( 1 - 18 T^{2} + 563 T^{4} - 5202 T^{6} + 83521 T^{8} \))(\( ( 1 - 27 T^{2} + 404 T^{4} - 7803 T^{6} + 83521 T^{8} )^{2} \))(\( ( 1 + 3 T + 17 T^{2} )^{2} \))(\( ( 1 + 6 T + 17 T^{2} )^{2} \))(\( ( 1 + 6 T + 17 T^{2} )^{2} \))(\( ( 1 + 3 T + 17 T^{2} )^{2} \))(\( ( 1 - 6 T + 17 T^{2} )^{2} \))(\( ( 1 - 6 T + 17 T^{2} )^{2} \))(\( ( 1 - 6 T + 17 T^{2} )^{2} \))(\( ( 1 + 6 T + 17 T^{2} )^{2} \))(\( ( 1 - 3 T + 17 T^{2} )^{2} \))(\( ( 1 + 6 T + 17 T^{2} )^{2} \))(\( ( 1 - 3 T + 17 T^{2} )^{2} \))(\( ( 1 - 6 T + 17 T^{2} )^{2} \))(\( ( 1 + 22 T^{2} + 289 T^{4} )^{2} \))(\( ( 1 + 22 T^{2} + 289 T^{4} )^{2} \))(\( 1 - 868 T^{4} + 339846 T^{8} - 72496228 T^{12} + 6975757441 T^{16} \))(\( 1 + 188 T^{4} - 45306 T^{8} + 15701948 T^{12} + 6975757441 T^{16} \))(\( 1 - 356 T^{4} + 24298 T^{8} + 31798576 T^{12} - 15547912973 T^{16} + 2655848866096 T^{20} + 169496954301418 T^{24} - 207413516453794916 T^{28} + 48661191875666868481 T^{32} \))(\( 1 + 58 T^{4} + 63409 T^{8} - 5217854 T^{12} - 756672668 T^{16} - 435800383934 T^{20} + 442325803576369 T^{24} + 33792089759326138 T^{28} + 48661191875666868481 T^{32} \))(\( ( 1 - 2 T + 17 T^{2} )^{2}( 1 + 2 T + 17 T^{2} )^{2} \))(\( ( 1 - 8 T + 17 T^{2} )^{2}( 1 + 8 T + 17 T^{2} )^{2} \))(\( ( 1 - 33 T^{2} + 289 T^{4} )^{2} \))(\( ( 1 - 33 T^{2} + 289 T^{4} )^{2} \))(\( ( 1 - 8 T + 17 T^{2} )^{2}( 1 + 8 T + 17 T^{2} )^{2} \))(\( ( 1 - 2 T + 17 T^{2} )^{2}( 1 + 2 T + 17 T^{2} )^{2} \))(\( ( 1 - 27 T^{2} + 404 T^{4} - 7803 T^{6} + 83521 T^{8} )^{2} \))(\( ( 1 - 18 T^{2} + 289 T^{4} )^{4} \))(\( ( 1 - 27 T^{2} + 404 T^{4} - 7803 T^{6} + 83521 T^{8} )^{2} \))(\( 1 + 6 T - 24 T^{2} - 54 T^{3} + 1338 T^{4} + 1914 T^{5} - 18929 T^{6} + 32538 T^{7} + 386682 T^{8} - 265302 T^{9} - 2004504 T^{10} + 8519142 T^{11} + 24137569 T^{12} \))(\( 1 - 9 T + 6 T^{2} - 9 T^{3} + 696 T^{4} + 1935 T^{5} - 22495 T^{6} + 32427 T^{7} - 124731 T^{8} + 429894 T^{9} + 596934 T^{10} - 15680844 T^{11} + 116204847 T^{12} - 266574348 T^{13} + 172513926 T^{14} + 2112069222 T^{15} - 10417657851 T^{16} + 46041702939 T^{17} - 542974614655 T^{18} + 794005332255 T^{19} + 4855127178936 T^{20} - 1067290888473 T^{21} + 12095963402694 T^{22} - 308447066768697 T^{23} + 582622237229761 T^{24} \))(\( 1 + 15 T + 72 T^{2} + 9 T^{3} - 774 T^{4} - 111 T^{5} + 9731 T^{6} + 14679 T^{7} - 42957 T^{8} - 713016 T^{9} - 4557330 T^{10} - 2043432 T^{11} + 56420211 T^{12} - 34738344 T^{13} - 1317068370 T^{14} - 3503047608 T^{15} - 3587811597 T^{16} + 20842080903 T^{17} + 234882683939 T^{18} - 45547592703 T^{19} - 5399236259334 T^{20} + 1067290888473 T^{21} + 145151560832328 T^{22} + 514078444614495 T^{23} + 582622237229761 T^{24} \))(\( 1 - 3 T - 63 T^{2} + 108 T^{3} + 2682 T^{4} - 2640 T^{5} - 79386 T^{6} + 26601 T^{7} + 1846494 T^{8} + 78570 T^{9} - 34005924 T^{10} - 8314860 T^{11} + 523784895 T^{12} + 154716405 T^{13} - 7269338610 T^{14} - 891548100 T^{15} + 96950359116 T^{16} + 7188551277 T^{17} - 1529656263245 T^{18} + 122205371709 T^{19} + 28018653784524 T^{20} - 4380175815300 T^{21} - 607142430045810 T^{22} + 219675170654085 T^{23} + 12642894044220255 T^{24} - 3411908618580780 T^{25} - 237217077381080484 T^{26} + 9317449456369290 T^{27} + 3722520641215675806 T^{28} + 911666713679345433 T^{29} - 46252048924721806746 T^{30} - 26148086006871673680 T^{31} + \)\(45\!\cdots\!78\)\( T^{32} + \)\(30\!\cdots\!44\)\( T^{33} - \)\(30\!\cdots\!03\)\( T^{34} - \)\(24\!\cdots\!31\)\( T^{35} + \)\(14\!\cdots\!09\)\( T^{36} \))(\( 1 - 802 T^{4} + 296739 T^{8} - 66983842 T^{12} + 6975757441 T^{16} \))(\( 1 - 868 T^{4} + 339846 T^{8} - 72496228 T^{12} + 6975757441 T^{16} \))(\( ( 1 - 254 T^{4} + 83521 T^{8} )^{2} \))(\( 1 - 124 T^{4} - 77946 T^{8} - 10356604 T^{12} + 6975757441 T^{16} \))(\( 1 - 124 T^{4} - 77946 T^{8} - 10356604 T^{12} + 6975757441 T^{16} \))(\( ( 1 - 16 T^{2} + 289 T^{4} )^{2}( 1 + 16 T^{2} + 289 T^{4} )^{2} \))(\( 1 - 868 T^{4} + 339846 T^{8} - 72496228 T^{12} + 6975757441 T^{16} \))(\( 1 - 802 T^{4} + 296739 T^{8} - 66983842 T^{12} + 6975757441 T^{16} \))(\( 1 + 58 T^{4} + 63409 T^{8} - 5217854 T^{12} - 756672668 T^{16} - 435800383934 T^{20} + 442325803576369 T^{24} + 33792089759326138 T^{28} + 48661191875666868481 T^{32} \))(\( 1 + 58 T^{4} + 63409 T^{8} - 5217854 T^{12} - 756672668 T^{16} - 435800383934 T^{20} + 442325803576369 T^{24} + 33792089759326138 T^{28} + 48661191875666868481 T^{32} \))
$19$ (\( 1 - 5 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 - 5 T + 19 T^{2} \))(\( 1 - 5 T + 19 T^{2} \))(\( 1 - 5 T + 19 T^{2} \))(\( 1 - 5 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 - 5 T + 19 T^{2} \))(\( 1 - T + 30 T^{2} - 19 T^{3} + 361 T^{4} \))(\( 1 + 2 T - 9 T^{2} + 38 T^{3} + 361 T^{4} \))(\( 1 - T + 30 T^{2} - 19 T^{3} + 361 T^{4} \))(\( 1 + 2 T - 9 T^{2} + 38 T^{3} + 361 T^{4} \))(\( ( 1 - 3 T + 19 T^{2} )^{2} \))(\( ( 1 + 6 T + 19 T^{2} )^{2} \))(\( ( 1 + 6 T + 19 T^{2} )^{2} \))(\( ( 1 - 3 T + 19 T^{2} )^{2} \))(\( ( 1 - 6 T + 41 T^{2} - 114 T^{3} + 361 T^{4} )^{2} \))(\( ( 1 - 6 T + 41 T^{2} - 114 T^{3} + 361 T^{4} )^{2} \))(\( ( 1 + 3 T + 26 T^{2} + 57 T^{3} + 361 T^{4} )^{4} \))(\( ( 1 - 8 T + 19 T^{2} )^{2} \))(\( ( 1 + 4 T + 19 T^{2} )^{2} \))(\( ( 1 - 5 T + 19 T^{2} )^{2} \))(\( ( 1 + 4 T + 19 T^{2} )^{2} \))(\( ( 1 + 4 T + 19 T^{2} )^{2} \))(\( ( 1 - 5 T + 19 T^{2} )^{2} \))(\( ( 1 - 5 T + 19 T^{2} )^{2} \))(\( ( 1 + 4 T + 19 T^{2} )^{2} \))(\( ( 1 + 4 T + 19 T^{2} )^{2} \))(\( ( 1 - 5 T + 19 T^{2} )^{2} \))(\( ( 1 - 8 T + 19 T^{2} )^{2} \))(\( ( 1 + 4 T + 19 T^{2} )^{2} \))(\( ( 1 + 2 T - 9 T^{2} + 38 T^{3} + 361 T^{4} )^{2} \))(\( ( 1 + 2 T - 9 T^{2} + 38 T^{3} + 361 T^{4} )^{2} \))(\( ( 1 - 14 T^{2} + 339 T^{4} - 5054 T^{6} + 130321 T^{8} )^{2} \))(\( ( 1 - 32 T^{2} + 594 T^{4} - 11552 T^{6} + 130321 T^{8} )^{2} \))(\( ( 1 - 100 T^{2} + 5038 T^{4} - 162424 T^{6} + 3656035 T^{8} - 58635064 T^{10} + 656557198 T^{12} - 4704588100 T^{14} + 16983563041 T^{16} )^{2} \))(\( ( 1 - 106 T^{2} + 5185 T^{4} - 158866 T^{6} + 3487060 T^{8} - 57350626 T^{10} + 675714385 T^{12} - 4986863386 T^{14} + 16983563041 T^{16} )^{2} \))(\( ( 1 - 3 T + 19 T^{2} )^{4} \))(\( ( 1 + 19 T^{2} )^{4} \))(\( ( 1 - 6 T + 19 T^{2} )^{4} \))(\( ( 1 - 6 T + 19 T^{2} )^{4} \))(\( ( 1 + 19 T^{2} )^{4} \))(\( ( 1 - 3 T + 19 T^{2} )^{4} \))(\( ( 1 + 3 T + 26 T^{2} + 57 T^{3} + 361 T^{4} )^{4} \))(\( ( 1 + 6 T + 19 T^{2} )^{8} \))(\( ( 1 + 3 T + 26 T^{2} + 57 T^{3} + 361 T^{4} )^{4} \))(\( 1 + 6 T - 6 T^{2} - 166 T^{3} - 288 T^{4} + 1368 T^{5} + 10887 T^{6} + 25992 T^{7} - 103968 T^{8} - 1138594 T^{9} - 781926 T^{10} + 14856594 T^{11} + 47045881 T^{12} \))(\( 1 + 3 T - 57 T^{2} - 350 T^{3} + 1086 T^{4} + 12117 T^{5} + 7399 T^{6} - 134640 T^{7} - 248166 T^{8} - 1717202 T^{9} - 13878969 T^{10} + 34233972 T^{11} + 528834769 T^{12} + 650445468 T^{13} - 5010307809 T^{14} - 11778288518 T^{15} - 32341241286 T^{16} - 333381969360 T^{17} + 348092473519 T^{18} + 10831043861463 T^{19} + 18444149462526 T^{20} - 112940694222650 T^{21} - 349470776694657 T^{22} + 349470776694657 T^{23} + 2213314919066161 T^{24} \))(\( 1 - 9 T - 15 T^{2} + 196 T^{3} + 1020 T^{4} - 3447 T^{5} - 26057 T^{6} - 28368 T^{7} + 621918 T^{8} + 934336 T^{9} - 5519061 T^{10} - 16355868 T^{11} + 87628225 T^{12} - 310761492 T^{13} - 1992381021 T^{14} + 6408610624 T^{15} + 81048975678 T^{16} - 70241976432 T^{17} - 1225874521217 T^{18} - 3081175884333 T^{19} + 17323234301820 T^{20} + 63246788764684 T^{21} - 91965993867015 T^{22} - 1048412330083971 T^{23} + 2213314919066161 T^{24} \))(\( 1 - 9 T - 36 T^{2} + 609 T^{3} - 243 T^{4} - 18711 T^{5} + 44886 T^{6} + 314640 T^{7} - 1382094 T^{8} - 2695738 T^{9} + 28012338 T^{10} - 21856284 T^{11} - 489516201 T^{12} + 1767968613 T^{13} + 6129017199 T^{14} - 45844864767 T^{15} + 5194747701 T^{16} + 425740301559 T^{17} - 1415107781931 T^{18} + 8089065729621 T^{19} + 1875303920061 T^{20} - 314449927436853 T^{21} + 798739650390879 T^{22} + 4377665314680687 T^{23} - 23029720939818081 T^{24} - 19536714587157876 T^{25} + 475749308348799858 T^{26} - 869881489035365902 T^{27} - 8473709888509215294 T^{28} + 36652495059735626160 T^{29} + 99346853457203702646 T^{30} - \)\(78\!\cdots\!49\)\( T^{31} - \)\(19\!\cdots\!03\)\( T^{32} + \)\(92\!\cdots\!91\)\( T^{33} - \)\(10\!\cdots\!16\)\( T^{34} - \)\(49\!\cdots\!51\)\( T^{35} + \)\(10\!\cdots\!41\)\( T^{36} \))(\( ( 1 - 56 T^{2} + 1410 T^{4} - 20216 T^{6} + 130321 T^{8} )^{2} \))(\( ( 1 - 14 T^{2} + 339 T^{4} - 5054 T^{6} + 130321 T^{8} )^{2} \))(\( ( 1 + 26 T^{2} + 361 T^{4} )^{4} \))(\( ( 1 - 20 T^{2} + 54 T^{4} - 7220 T^{6} + 130321 T^{8} )^{2} \))(\( ( 1 - 20 T^{2} + 54 T^{4} - 7220 T^{6} + 130321 T^{8} )^{2} \))(\( ( 1 - 22 T^{2} + 361 T^{4} )^{4} \))(\( ( 1 - 14 T^{2} + 339 T^{4} - 5054 T^{6} + 130321 T^{8} )^{2} \))(\( ( 1 - 56 T^{2} + 1410 T^{4} - 20216 T^{6} + 130321 T^{8} )^{2} \))(\( ( 1 - 106 T^{2} + 5185 T^{4} - 158866 T^{6} + 3487060 T^{8} - 57350626 T^{10} + 675714385 T^{12} - 4986863386 T^{14} + 16983563041 T^{16} )^{2} \))(\( ( 1 - 106 T^{2} + 5185 T^{4} - 158866 T^{6} + 3487060 T^{8} - 57350626 T^{10} + 675714385 T^{12} - 4986863386 T^{14} + 16983563041 T^{16} )^{2} \))
$23$ (\( 1 - 6 T + 23 T^{2} \))(\( 1 + 9 T + 23 T^{2} \))(\( 1 - 3 T + 23 T^{2} \))(\( 1 + 9 T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 + 3 T + 23 T^{2} \))(\( 1 - 9 T + 23 T^{2} \))(\( 1 - 9 T + 23 T^{2} \))(\( 1 + 3 T + 40 T^{2} + 69 T^{3} + 529 T^{4} \))(\( 1 - 6 T + 43 T^{2} - 138 T^{3} + 529 T^{4} \))(\( 1 - 3 T + 40 T^{2} - 69 T^{3} + 529 T^{4} \))(\( 1 + 6 T + 43 T^{2} + 138 T^{3} + 529 T^{4} \))(\( 1 - 21 T^{2} + 529 T^{4} \))(\( 1 - 45 T^{2} + 529 T^{4} \))(\( 1 - 45 T^{2} + 529 T^{4} \))(\( 1 - 21 T^{2} + 529 T^{4} \))(\( 1 - 36 T^{2} + 998 T^{4} - 19044 T^{6} + 279841 T^{8} \))(\( 1 - 36 T^{2} + 998 T^{4} - 19044 T^{6} + 279841 T^{8} \))(\( ( 1 - 51 T^{2} + 1352 T^{4} - 26979 T^{6} + 279841 T^{8} )^{2} \))(\( 1 + 3 T - 14 T^{2} + 69 T^{3} + 529 T^{4} \))(\( 1 - 23 T^{2} + 529 T^{4} \))(\( 1 + 9 T + 58 T^{2} + 207 T^{3} + 529 T^{4} \))(\( 1 - 9 T + 58 T^{2} - 207 T^{3} + 529 T^{4} \))(\( 1 - 23 T^{2} + 529 T^{4} \))(\( 1 - 3 T - 14 T^{2} - 69 T^{3} + 529 T^{4} \))(\( 1 - 9 T + 58 T^{2} - 207 T^{3} + 529 T^{4} \))(\( 1 - 23 T^{2} + 529 T^{4} \))(\( 1 + 9 T + 58 T^{2} + 207 T^{3} + 529 T^{4} \))(\( 1 + 3 T - 14 T^{2} + 69 T^{3} + 529 T^{4} \))(\( 1 - 3 T - 14 T^{2} - 69 T^{3} + 529 T^{4} \))(\( 1 - 23 T^{2} + 529 T^{4} \))(\( 1 - 6 T - 7 T^{2} + 18 T^{3} + 492 T^{4} + 414 T^{5} - 3703 T^{6} - 73002 T^{7} + 279841 T^{8} \))(\( 1 + 6 T - 7 T^{2} - 18 T^{3} + 492 T^{4} - 414 T^{5} - 3703 T^{6} + 73002 T^{7} + 279841 T^{8} \))(\( ( 1 - 617 T^{4} + 279841 T^{8} )^{2} \))(\( ( 1 + 967 T^{4} + 279841 T^{8} )^{2} \))(\( 1 - 2264 T^{4} + 2301916 T^{8} - 1476887528 T^{12} + 789346774342 T^{16} - 413293682723048 T^{20} + 180265309994098396 T^{24} - 49614709714094006744 T^{28} + \)\(61\!\cdots\!61\)\( T^{32} \))(\( 1 - 2078 T^{4} + 1916833 T^{8} - 1122940766 T^{12} + 574036617220 T^{16} - 314244866898206 T^{20} + 150109080849135073 T^{24} - 45538589569738227038 T^{28} + \)\(61\!\cdots\!61\)\( T^{32} \))(\( 1 + 21 T^{2} - 88 T^{4} + 11109 T^{6} + 279841 T^{8} \))(\( 1 + 30 T^{2} + 371 T^{4} + 15870 T^{6} + 279841 T^{8} \))(\( 1 + 45 T^{2} + 1496 T^{4} + 23805 T^{6} + 279841 T^{8} \))(\( 1 + 45 T^{2} + 1496 T^{4} + 23805 T^{6} + 279841 T^{8} \))(\( 1 + 30 T^{2} + 371 T^{4} + 15870 T^{6} + 279841 T^{8} \))(\( 1 + 21 T^{2} - 88 T^{4} + 11109 T^{6} + 279841 T^{8} \))(\( 1 + 51 T^{2} + 1249 T^{4} + 14994 T^{6} + 172134 T^{8} + 7931826 T^{10} + 349521409 T^{12} + 7549830339 T^{14} + 78310985281 T^{16} \))(\( ( 1 + 42 T^{2} + 1235 T^{4} + 22218 T^{6} + 279841 T^{8} )^{2} \))(\( 1 + 51 T^{2} + 1249 T^{4} + 14994 T^{6} + 172134 T^{8} + 7931826 T^{10} + 349521409 T^{12} + 7549830339 T^{14} + 78310985281 T^{16} \))(\( 1 + 18 T + 144 T^{2} + 576 T^{3} - 360 T^{4} - 21834 T^{5} - 151055 T^{6} - 502182 T^{7} - 190440 T^{8} + 7008192 T^{9} + 40297104 T^{10} + 115854174 T^{11} + 148035889 T^{12} \))(\( 1 - 24 T + 261 T^{2} - 1548 T^{3} + 4536 T^{4} + 1578 T^{5} - 79468 T^{6} + 539577 T^{7} - 3153528 T^{8} + 13869171 T^{9} - 29827584 T^{10} - 57650652 T^{11} + 671490273 T^{12} - 1325964996 T^{13} - 15778791936 T^{14} + 168746203557 T^{15} - 882486429048 T^{16} + 3472902646911 T^{17} - 11764116027052 T^{18} + 5372814555366 T^{19} + 355218629234616 T^{20} - 2788184319944724 T^{21} + 10812319426762389 T^{22} - 22867434189934248 T^{23} + 21914624432020321 T^{24} \))(\( 1 - 30 T + 453 T^{2} - 4680 T^{3} + 37104 T^{4} - 235110 T^{5} + 1185668 T^{6} - 4388265 T^{7} + 6964038 T^{8} + 59488155 T^{9} - 741974004 T^{10} + 5193944550 T^{11} - 27807389775 T^{12} + 119460724650 T^{13} - 392504248116 T^{14} + 723792381885 T^{15} + 1948823357958 T^{16} - 28244378714895 T^{17} + 175521416438852 T^{18} - 800508510844170 T^{19} + 2905650797866224 T^{20} - 8429394455646840 T^{21} + 18766209579782997 T^{22} - 28584292737417810 T^{23} + 21914624432020321 T^{24} \))(\( 1 - 24 T + 288 T^{2} - 2133 T^{3} + 10638 T^{4} - 38364 T^{5} + 137937 T^{6} - 766455 T^{7} + 4937985 T^{8} - 26289954 T^{9} + 116084709 T^{10} - 389265117 T^{11} + 177538353 T^{12} + 11230671747 T^{13} - 104003912412 T^{14} + 582525608715 T^{15} - 2495793393441 T^{16} + 9912745909065 T^{17} - 43281575858612 T^{18} + 227993155908495 T^{19} - 1320274705130289 T^{20} + 7087589081235405 T^{21} - 29104558853286492 T^{22} + 72284455484101221 T^{23} + 26282047917950817 T^{24} - 1325379775991032299 T^{25} + 9090707937848168229 T^{26} - 47352220616839842702 T^{27} + \)\(20\!\cdots\!65\)\( T^{28} - \)\(73\!\cdots\!85\)\( T^{29} + \)\(30\!\cdots\!77\)\( T^{30} - \)\(19\!\cdots\!12\)\( T^{31} + \)\(12\!\cdots\!42\)\( T^{32} - \)\(56\!\cdots\!31\)\( T^{33} + \)\(17\!\cdots\!68\)\( T^{34} - \)\(33\!\cdots\!72\)\( T^{35} + \)\(32\!\cdots\!69\)\( T^{36} \))(\( 1 - 36 T + 648 T^{2} - 7776 T^{3} + 70745 T^{4} - 528048 T^{5} + 3400056 T^{6} - 19369332 T^{7} + 98357232 T^{8} - 445494636 T^{9} + 1798629624 T^{10} - 6424760016 T^{11} + 19797351545 T^{12} - 50049003168 T^{13} + 95927256072 T^{14} - 122573716092 T^{15} + 78310985281 T^{16} \))(\( 1 + 617 T^{4} + 100848 T^{8} + 172661897 T^{12} + 78310985281 T^{16} \))(\( 1 + 158 T^{4} - 254877 T^{8} + 44214878 T^{12} + 78310985281 T^{16} \))(\( 1 - 706 T^{4} + 218595 T^{8} - 197567746 T^{12} + 78310985281 T^{16} \))(\( 1 - 706 T^{4} + 218595 T^{8} - 197567746 T^{12} + 78310985281 T^{16} \))(\( 1 + 158 T^{4} - 254877 T^{8} + 44214878 T^{12} + 78310985281 T^{16} \))(\( 1 + 617 T^{4} + 100848 T^{8} + 172661897 T^{12} + 78310985281 T^{16} \))(\( 1 + 36 T + 648 T^{2} + 7776 T^{3} + 70745 T^{4} + 528048 T^{5} + 3400056 T^{6} + 19369332 T^{7} + 98357232 T^{8} + 445494636 T^{9} + 1798629624 T^{10} + 6424760016 T^{11} + 19797351545 T^{12} + 50049003168 T^{13} + 95927256072 T^{14} + 122573716092 T^{15} + 78310985281 T^{16} \))(\( 1 - 120 T^{2} + 8239 T^{4} - 412680 T^{6} + 16781665 T^{8} - 583513200 T^{10} + 17778485986 T^{12} - 481516354560 T^{14} + 11680474408894 T^{16} - 254722151562240 T^{18} + 4975149296808226 T^{20} - 86380895305234800 T^{22} + 1314188720805672865 T^{24} - 17095892647648669320 T^{26} + \)\(18\!\cdots\!19\)\( T^{28} - \)\(13\!\cdots\!80\)\( T^{30} + \)\(61\!\cdots\!61\)\( T^{32} \))(\( 1 + 120 T^{2} + 8239 T^{4} + 412680 T^{6} + 16781665 T^{8} + 583513200 T^{10} + 17778485986 T^{12} + 481516354560 T^{14} + 11680474408894 T^{16} + 254722151562240 T^{18} + 4975149296808226 T^{20} + 86380895305234800 T^{22} + 1314188720805672865 T^{24} + 17095892647648669320 T^{26} + \)\(18\!\cdots\!19\)\( T^{28} + \)\(13\!\cdots\!80\)\( T^{30} + \)\(61\!\cdots\!61\)\( T^{32} \))
$29$ (\( 1 - 6 T + 29 T^{2} \))(\( 1 + 3 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 - 3 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 + 3 T + 52 T^{2} + 87 T^{3} + 841 T^{4} \))(\( 1 + 10 T^{2} + 841 T^{4} \))(\( 1 - 3 T + 52 T^{2} - 87 T^{3} + 841 T^{4} \))(\( 1 + 10 T^{2} + 841 T^{4} \))(\( ( 1 + 29 T^{2} )^{2} \))(\( ( 1 + 9 T + 29 T^{2} )^{2} \))(\( ( 1 - 9 T + 29 T^{2} )^{2} \))(\( ( 1 + 29 T^{2} )^{2} \))(\( ( 1 + 6 T + 29 T^{2} )^{4} \))(\( ( 1 - 6 T + 29 T^{2} )^{4} \))(\( ( 1 + 17 T^{2} + 600 T^{4} + 14297 T^{6} + 707281 T^{8} )^{2} \))(\( 1 - 9 T + 52 T^{2} - 261 T^{3} + 841 T^{4} \))(\( 1 + 6 T + 7 T^{2} + 174 T^{3} + 841 T^{4} \))(\( 1 - 29 T^{2} + 841 T^{4} \))(\( 1 - 3 T - 20 T^{2} - 87 T^{3} + 841 T^{4} \))(\( 1 + 6 T + 7 T^{2} + 174 T^{3} + 841 T^{4} \))(\( 1 - 29 T^{2} + 841 T^{4} \))(\( 1 - 29 T^{2} + 841 T^{4} \))(\( 1 - 6 T + 7 T^{2} - 174 T^{3} + 841 T^{4} \))(\( 1 + 3 T - 20 T^{2} + 87 T^{3} + 841 T^{4} \))(\( 1 - 29 T^{2} + 841 T^{4} \))(\( 1 + 9 T + 52 T^{2} + 261 T^{3} + 841 T^{4} \))(\( 1 - 6 T + 7 T^{2} - 174 T^{3} + 841 T^{4} \))(\( 1 - 10 T^{2} - 741 T^{4} - 8410 T^{6} + 707281 T^{8} \))(\( 1 - 10 T^{2} - 741 T^{4} - 8410 T^{6} + 707281 T^{8} \))(\( ( 1 + 26 T^{2} + 841 T^{4} )^{4} \))(\( ( 1 + 106 T^{2} + 4467 T^{4} + 89146 T^{6} + 707281 T^{8} )^{2} \))(\( ( 1 + 152 T^{2} + 11068 T^{4} + 517736 T^{6} + 17418406 T^{8} + 435415976 T^{10} + 7828186108 T^{12} + 90413144792 T^{14} + 500246412961 T^{16} )^{2} \))(\( ( 1 + 68 T^{2} + 2437 T^{4} + 54800 T^{6} + 1047244 T^{8} + 46086800 T^{10} + 1723643797 T^{12} + 40447985828 T^{14} + 500246412961 T^{16} )^{2} \))(\( ( 1 - 29 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 - 29 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 - 9 T + 52 T^{2} - 261 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 + 9 T + 52 T^{2} + 261 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 - 29 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 - 29 T^{2} + 841 T^{4} )^{2} \))(\( 1 - 17 T^{2} - 311 T^{4} + 18394 T^{6} - 590330 T^{8} + 15469354 T^{10} - 219964391 T^{12} - 10111996457 T^{14} + 500246412961 T^{16} \))(\( ( 1 - 29 T^{2} + 841 T^{4} )^{4} \))(\( 1 - 17 T^{2} - 311 T^{4} + 18394 T^{6} - 590330 T^{8} + 15469354 T^{10} - 219964391 T^{12} - 10111996457 T^{14} + 500246412961 T^{16} \))(\( 1 - 6 T + 36 T^{2} - 18 T^{3} - 288 T^{4} + 7248 T^{5} - 33605 T^{6} + 210192 T^{7} - 242208 T^{8} - 439002 T^{9} + 25462116 T^{10} - 123066894 T^{11} + 594823321 T^{12} \))(\( 1 + 6 T + 135 T^{2} + 729 T^{3} + 9306 T^{4} + 37014 T^{5} + 382277 T^{6} + 764559 T^{7} + 8680437 T^{8} - 15693210 T^{9} + 64109925 T^{10} - 1590417558 T^{11} - 1059044433 T^{12} - 46122109182 T^{13} + 53916446925 T^{14} - 382741698690 T^{15} + 6139508161797 T^{16} + 15681983568291 T^{17} + 227387274681917 T^{18} + 638486921701326 T^{19} + 4655293119015066 T^{20} + 10575709416408501 T^{21} + 56795476495527135 T^{22} + 73203058594234974 T^{23} + 353814783205469041 T^{24} \))(\( 1 - 24 T + 255 T^{2} - 1521 T^{3} + 4560 T^{4} + 7248 T^{5} - 187381 T^{6} + 1424367 T^{7} - 7249905 T^{8} + 18772182 T^{9} + 114458319 T^{10} - 1939962546 T^{11} + 13709002779 T^{12} - 56258913834 T^{13} + 96259446279 T^{14} + 457834746798 T^{15} - 5127720058305 T^{16} + 29215403767683 T^{17} - 111458588712301 T^{18} + 125027103487632 T^{19} + 2281123643102160 T^{20} - 22065369029296749 T^{21} + 107280344491551255 T^{22} - 292812234376939896 T^{23} + 353814783205469041 T^{24} \))(\( 1 - 9 T + 45 T^{2} + 36 T^{3} - 18 T^{4} - 15147 T^{5} + 138189 T^{6} - 535347 T^{7} - 611721 T^{8} - 4157505 T^{9} + 152789472 T^{10} - 1249793919 T^{11} + 3230155293 T^{12} + 3418645149 T^{13} + 49752711477 T^{14} - 1124521627095 T^{15} + 7148726855676 T^{16} - 12406490669403 T^{17} - 13760866405595 T^{18} - 359788229412687 T^{19} + 6012079285623516 T^{20} - 27425957963219955 T^{21} + 35189147526164037 T^{22} + 70120340029266201 T^{23} + 1921371698727988053 T^{24} - 21558790514490364971 T^{25} + 76432385306205146592 T^{26} - 60313531930405246845 T^{27} - \)\(25\!\cdots\!21\)\( T^{28} - \)\(65\!\cdots\!63\)\( T^{29} + \)\(48\!\cdots\!49\)\( T^{30} - \)\(15\!\cdots\!83\)\( T^{31} - \)\(53\!\cdots\!58\)\( T^{32} + \)\(31\!\cdots\!64\)\( T^{33} + \)\(11\!\cdots\!45\)\( T^{34} - \)\(65\!\cdots\!81\)\( T^{35} + \)\(21\!\cdots\!61\)\( T^{36} \))(\( 1 - 106 T^{2} + 6769 T^{4} - 295210 T^{6} + 9797332 T^{8} - 248271610 T^{10} + 4787585089 T^{12} - 63051272026 T^{14} + 500246412961 T^{16} \))(\( ( 1 - 26 T^{2} - 165 T^{4} - 21866 T^{6} + 707281 T^{8} )^{2} \))(\( ( 1 - 56 T^{2} + 2295 T^{4} - 47096 T^{6} + 707281 T^{8} )^{2} \))(\( 1 - 64 T^{2} + 1582 T^{4} - 53248 T^{6} + 2168179 T^{8} - 44781568 T^{10} + 1118918542 T^{12} - 38068692544 T^{14} + 500246412961 T^{16} \))(\( 1 - 64 T^{2} + 1582 T^{4} - 53248 T^{6} + 2168179 T^{8} - 44781568 T^{10} + 1118918542 T^{12} - 38068692544 T^{14} + 500246412961 T^{16} \))(\( ( 1 - 8 T^{2} - 777 T^{4} - 6728 T^{6} + 707281 T^{8} )^{2} \))(\( ( 1 - 26 T^{2} - 165 T^{4} - 21866 T^{6} + 707281 T^{8} )^{2} \))(\( 1 - 106 T^{2} + 6769 T^{4} - 295210 T^{6} + 9797332 T^{8} - 248271610 T^{10} + 4787585089 T^{12} - 63051272026 T^{14} + 500246412961 T^{16} \))(\( 1 - 68 T^{2} + 2187 T^{4} - 56116 T^{6} + 1165325 T^{8} - 37209216 T^{10} + 764291566 T^{12} + 9582327976 T^{14} - 628676918106 T^{16} + 8058737827816 T^{18} + 540568903092046 T^{20} - 22132909432926336 T^{22} + 582949651183777325 T^{24} - 23608407103874079316 T^{26} + \)\(77\!\cdots\!67\)\( T^{28} - \)\(20\!\cdots\!08\)\( T^{30} + \)\(25\!\cdots\!21\)\( T^{32} \))(\( 1 - 68 T^{2} + 2187 T^{4} - 56116 T^{6} + 1165325 T^{8} - 37209216 T^{10} + 764291566 T^{12} + 9582327976 T^{14} - 628676918106 T^{16} + 8058737827816 T^{18} + 540568903092046 T^{20} - 22132909432926336 T^{22} + 582949651183777325 T^{24} - 23608407103874079316 T^{26} + \)\(77\!\cdots\!67\)\( T^{28} - \)\(20\!\cdots\!08\)\( T^{30} + \)\(25\!\cdots\!21\)\( T^{32} \))
$31$ (\( 1 - 2 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 - 2 T + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 + 2 T + 30 T^{2} + 62 T^{3} + 961 T^{4} \))(\( 1 - 4 T + 54 T^{2} - 124 T^{3} + 961 T^{4} \))(\( 1 + 2 T + 30 T^{2} + 62 T^{3} + 961 T^{4} \))(\( 1 - 4 T + 54 T^{2} - 124 T^{3} + 961 T^{4} \))(\( ( 1 + 2 T + 31 T^{2} )^{2} \))(\( ( 1 + 2 T + 31 T^{2} )^{2} \))(\( ( 1 + 2 T + 31 T^{2} )^{2} \))(\( ( 1 + 2 T + 31 T^{2} )^{2} \))(\( ( 1 - 8 T + 72 T^{2} - 248 T^{3} + 961 T^{4} )^{2} \))(\( ( 1 - 8 T + 72 T^{2} - 248 T^{3} + 961 T^{4} )^{2} \))(\( ( 1 - 2 T + 6 T^{2} - 62 T^{3} + 961 T^{4} )^{4} \))(\( ( 1 - 11 T + 31 T^{2} )( 1 + 4 T + 31 T^{2} ) \))(\( 1 + 8 T + 33 T^{2} + 248 T^{3} + 961 T^{4} \))(\( ( 1 - 11 T + 31 T^{2} )( 1 + 7 T + 31 T^{2} ) \))(\( 1 + 5 T - 6 T^{2} + 155 T^{3} + 961 T^{4} \))(\( ( 1 - 11 T + 31 T^{2} )( 1 + 7 T + 31 T^{2} ) \))(\( 1 + 8 T + 33 T^{2} + 248 T^{3} + 961 T^{4} \))(\( ( 1 - 11 T + 31 T^{2} )( 1 + 7 T + 31 T^{2} ) \))(\( ( 1 - 11 T + 31 T^{2} )( 1 + 7 T + 31 T^{2} ) \))(\( 1 + 5 T - 6 T^{2} + 155 T^{3} + 961 T^{4} \))(\( 1 + 8 T + 33 T^{2} + 248 T^{3} + 961 T^{4} \))(\( ( 1 - 11 T + 31 T^{2} )( 1 + 4 T + 31 T^{2} ) \))(\( 1 + 8 T + 33 T^{2} + 248 T^{3} + 961 T^{4} \))(\( 1 + 4 T - 38 T^{2} - 32 T^{3} + 1459 T^{4} - 992 T^{5} - 36518 T^{6} + 119164 T^{7} + 923521 T^{8} \))(\( 1 + 4 T - 38 T^{2} - 32 T^{3} + 1459 T^{4} - 992 T^{5} - 36518 T^{6} + 119164 T^{7} + 923521 T^{8} \))(\( ( 1 - 2 T + 36 T^{2} - 62 T^{3} + 961 T^{4} )^{4} \))(\( ( 1 + 4 T + 60 T^{2} + 124 T^{3} + 961 T^{4} )^{4} \))(\( ( 1 - 4 T + 52 T^{2} - 244 T^{3} + 1972 T^{4} - 7564 T^{5} + 49972 T^{6} - 119164 T^{7} + 923521 T^{8} )^{4} \))(\( ( 1 + 2 T + 34 T^{2} + 74 T^{3} + 922 T^{4} + 2294 T^{5} + 32674 T^{6} + 59582 T^{7} + 923521 T^{8} )^{4} \))(\( ( 1 - 2 T - 27 T^{2} - 62 T^{3} + 961 T^{4} )^{2} \))(\( ( 1 - 8 T + 33 T^{2} - 248 T^{3} + 961 T^{4} )^{2} \))(\( ( 1 - 5 T - 6 T^{2} - 155 T^{3} + 961 T^{4} )^{2} \))(\( ( 1 - 5 T - 6 T^{2} - 155 T^{3} + 961 T^{4} )^{2} \))(\( ( 1 - 8 T + 33 T^{2} - 248 T^{3} + 961 T^{4} )^{2} \))(\( ( 1 - 2 T - 27 T^{2} - 62 T^{3} + 961 T^{4} )^{2} \))(\( ( 1 + 2 T - 2 T^{2} - 112 T^{3} - 1049 T^{4} - 3472 T^{5} - 1922 T^{6} + 59582 T^{7} + 923521 T^{8} )^{2} \))(\( ( 1 - 4 T + 31 T^{2} )^{4}( 1 + 11 T + 31 T^{2} )^{4} \))(\( ( 1 + 2 T - 2 T^{2} - 112 T^{3} - 1049 T^{4} - 3472 T^{5} - 1922 T^{6} + 59582 T^{7} + 923521 T^{8} )^{2} \))(\( 1 + 18 T + 144 T^{2} + 542 T^{3} - 324 T^{4} - 20898 T^{5} - 160467 T^{6} - 647838 T^{7} - 311364 T^{8} + 16146722 T^{9} + 132987024 T^{10} + 515324718 T^{11} + 887503681 T^{12} \))(\( 1 - 21 T + 192 T^{2} - 992 T^{3} + 3198 T^{4} - 8922 T^{5} + 23365 T^{6} + 188406 T^{7} - 1715013 T^{8} - 9365465 T^{9} + 195761004 T^{10} - 1429000116 T^{11} + 8077538227 T^{12} - 44299003596 T^{13} + 188126324844 T^{14} - 279006567815 T^{15} - 1583850520773 T^{16} + 5393903823306 T^{17} + 20736523506565 T^{18} - 245467543098342 T^{19} + 2727545537736318 T^{20} - 26228105183385632 T^{21} + 157368631100313792 T^{22} - 533578014824501451 T^{23} + 787662783788549761 T^{24} \))(\( 1 - 21 T + 150 T^{2} + 226 T^{3} - 10578 T^{4} + 57948 T^{5} + 71971 T^{6} - 1924686 T^{7} + 2756511 T^{8} + 58023505 T^{9} - 268749678 T^{10} - 1279163442 T^{11} + 16303610167 T^{12} - 39654066702 T^{13} - 258268440558 T^{14} + 1728578237455 T^{15} + 2545695795231 T^{16} - 55102126121586 T^{17} + 63874527425251 T^{18} + 1594300962504228 T^{19} - 9021881394050898 T^{20} + 5975354608311646 T^{21} + 122944243047120150 T^{22} - 533578014824501451 T^{23} + 787662783788549761 T^{24} \))(\( 1 + 3 T + 60 T^{2} + 120 T^{3} + 3360 T^{4} + 14982 T^{5} + 143124 T^{6} + 879663 T^{7} + 4344873 T^{8} + 41542907 T^{9} + 157965354 T^{10} + 1747290132 T^{11} + 5934448287 T^{12} + 50357907081 T^{13} + 250693739001 T^{14} + 1404434583702 T^{15} + 10313876941551 T^{16} + 34338383189658 T^{17} + 343298009649093 T^{18} + 1064489878879398 T^{19} + 9911635740830511 T^{20} + 41839510683066282 T^{21} + 231520932535942521 T^{22} + 1441704125865918231 T^{23} + 5266844699416644447 T^{24} + 48072519141674252652 T^{25} + \)\(13\!\cdots\!14\)\( T^{26} + \)\(10\!\cdots\!97\)\( T^{27} + \)\(35\!\cdots\!73\)\( T^{28} + \)\(22\!\cdots\!53\)\( T^{29} + \)\(11\!\cdots\!64\)\( T^{30} + \)\(36\!\cdots\!62\)\( T^{31} + \)\(25\!\cdots\!60\)\( T^{32} + \)\(28\!\cdots\!20\)\( T^{33} + \)\(43\!\cdots\!60\)\( T^{34} + \)\(67\!\cdots\!33\)\( T^{35} + \)\(69\!\cdots\!41\)\( T^{36} \))(\( ( 1 + 2 T - 53 T^{2} - 10 T^{3} + 2164 T^{4} - 310 T^{5} - 50933 T^{6} + 59582 T^{7} + 923521 T^{8} )^{2} \))(\( ( 1 + 2 T - 32 T^{2} - 52 T^{3} + 211 T^{4} - 1612 T^{5} - 30752 T^{6} + 59582 T^{7} + 923521 T^{8} )^{2} \))(\( ( 1 - 7 T + 31 T^{2} )^{4}( 1 + 11 T + 31 T^{2} )^{4} \))(\( ( 1 - 4 T + 25 T^{2} + 284 T^{3} - 1376 T^{4} + 8804 T^{5} + 24025 T^{6} - 119164 T^{7} + 923521 T^{8} )^{2} \))(\( ( 1 - 4 T + 25 T^{2} + 284 T^{3} - 1376 T^{4} + 8804 T^{5} + 24025 T^{6} - 119164 T^{7} + 923521 T^{8} )^{2} \))(\( ( 1 - 2 T - 27 T^{2} - 62 T^{3} + 961 T^{4} )^{4} \))(\( ( 1 + 2 T - 32 T^{2} - 52 T^{3} + 211 T^{4} - 1612 T^{5} - 30752 T^{6} + 59582 T^{7} + 923521 T^{8} )^{2} \))(\( ( 1 + 2 T - 53 T^{2} - 10 T^{3} + 2164 T^{4} - 310 T^{5} - 50933 T^{6} + 59582 T^{7} + 923521 T^{8} )^{2} \))(\( ( 1 - 2 T - 30 T^{2} + 80 T^{3} + 86 T^{4} - 1122 T^{5} + 34888 T^{6} - 37166 T^{7} - 1115781 T^{8} - 1152146 T^{9} + 33527368 T^{10} - 33425502 T^{11} + 79422806 T^{12} + 2290332080 T^{13} - 26625110430 T^{14} - 55025228222 T^{15} + 852891037441 T^{16} )^{2} \))(\( ( 1 - 2 T - 30 T^{2} + 80 T^{3} + 86 T^{4} - 1122 T^{5} + 34888 T^{6} - 37166 T^{7} - 1115781 T^{8} - 1152146 T^{9} + 33527368 T^{10} - 33425502 T^{11} + 79422806 T^{12} + 2290332080 T^{13} - 26625110430 T^{14} - 55025228222 T^{15} + 852891037441 T^{16} )^{2} \))
$37$ (\( 1 + 4 T + 37 T^{2} \))(\( 1 - 8 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 + 10 T + 37 T^{2} \))(\( 1 + 4 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 - 8 T + 37 T^{2} \))(\( 1 + 10 T + 37 T^{2} \))(\( ( 1 + 4 T + 37 T^{2} )^{2} \))(\( ( 1 - 8 T + 37 T^{2} )^{2} \))(\( ( 1 + 4 T + 37 T^{2} )^{2} \))(\( ( 1 - 8 T + 37 T^{2} )^{2} \))(\( ( 1 - 12 T + 37 T^{2} )( 1 + 12 T + 37 T^{2} ) \))(\( ( 1 - 12 T + 37 T^{2} )( 1 + 12 T + 37 T^{2} ) \))(\( ( 1 - 12 T + 37 T^{2} )( 1 + 12 T + 37 T^{2} ) \))(\( ( 1 - 12 T + 37 T^{2} )( 1 + 12 T + 37 T^{2} ) \))(\( ( 1 - 10 T^{2} + 1369 T^{4} )^{2} \))(\( ( 1 - 10 T^{2} + 1369 T^{4} )^{2} \))(\( ( 1 - 17 T^{2} + 1656 T^{4} - 23273 T^{6} + 1874161 T^{8} )^{2} \))(\( ( 1 - 2 T + 37 T^{2} )^{2} \))(\( ( 1 - 2 T + 37 T^{2} )^{2} \))(\( ( 1 + 10 T + 37 T^{2} )^{2} \))(\( ( 1 + 10 T + 37 T^{2} )^{2} \))(\( ( 1 - 8 T + 37 T^{2} )^{2} \))(\( ( 1 - 2 T + 37 T^{2} )^{2} \))(\( ( 1 + 10 T + 37 T^{2} )^{2} \))(\( ( 1 - 8 T + 37 T^{2} )^{2} \))(\( ( 1 + 10 T + 37 T^{2} )^{2} \))(\( ( 1 - 2 T + 37 T^{2} )^{2} \))(\( ( 1 - 2 T + 37 T^{2} )^{2} \))(\( ( 1 - 2 T + 37 T^{2} )^{2} \))(\( ( 1 - 8 T + 37 T^{2} )^{4} \))(\( ( 1 - 8 T + 37 T^{2} )^{4} \))(\( ( 1 - 2338 T^{4} + 1874161 T^{8} )^{2} \))(\( ( 1 + 6 T + 18 T^{2} + 222 T^{3} + 1369 T^{4} )^{4} \))(\( ( 1 - 576 T^{3} + 1060 T^{4} + 8640 T^{5} + 165888 T^{6} - 634752 T^{7} - 2979546 T^{8} - 23485824 T^{9} + 227100672 T^{10} + 437641920 T^{11} + 1986610660 T^{12} - 39942119232 T^{13} + 3512479453921 T^{16} )^{2} \))(\( ( 1 + 6 T + 18 T^{2} + 96 T^{3} + 1261 T^{4} + 8316 T^{5} + 31806 T^{6} + 121158 T^{7} - 585756 T^{8} + 4482846 T^{9} + 43542414 T^{10} + 421230348 T^{11} + 2363317021 T^{12} + 6657019872 T^{13} + 46183075362 T^{14} + 569591262798 T^{15} + 3512479453921 T^{16} )^{2} \))(\( ( 1 - 12 T + 37 T^{2} )^{2}( 1 + 12 T + 37 T^{2} )^{2} \))(\( ( 1 - 12 T + 37 T^{2} )^{2}( 1 + 12 T + 37 T^{2} )^{2} \))(\( ( 1 - 12 T + 37 T^{2} )^{2}( 1 + 12 T + 37 T^{2} )^{2} \))(\( ( 1 - 12 T + 37 T^{2} )^{2}( 1 + 12 T + 37 T^{2} )^{2} \))(\( ( 1 - 12 T + 37 T^{2} )^{2}( 1 + 12 T + 37 T^{2} )^{2} \))(\( ( 1 - 12 T + 37 T^{2} )^{2}( 1 + 12 T + 37 T^{2} )^{2} \))(\( ( 1 - 17 T^{2} + 1656 T^{4} - 23273 T^{6} + 1874161 T^{8} )^{2} \))(\( ( 1 + 2 T^{2} + 1369 T^{4} )^{4} \))(\( ( 1 - 17 T^{2} + 1656 T^{4} - 23273 T^{6} + 1874161 T^{8} )^{2} \))(\( ( 1 - 4 T - 21 T^{2} - 148 T^{3} + 1369 T^{4} )^{3} \))(\( 1 - 90 T^{2} + 814 T^{3} + 4311 T^{4} - 68445 T^{5} + 124237 T^{6} + 3007422 T^{7} - 17261235 T^{8} - 63323057 T^{9} + 730514619 T^{10} + 188039628 T^{11} - 27933536861 T^{12} + 6957466236 T^{13} + 1000074513411 T^{14} - 3207502806221 T^{15} - 32350333448835 T^{16} + 208546541848854 T^{17} + 318758151874933 T^{18} - 6497612330368185 T^{19} + 15142298925853431 T^{20} + 105788856193192678 T^{21} - 432772593517606410 T^{22} + 6582952005840035281 T^{24} \))(\( 1 - 12 T - 96 T^{2} + 1186 T^{3} + 10479 T^{4} - 86079 T^{5} - 790973 T^{6} + 3880836 T^{7} + 50622525 T^{8} - 124924079 T^{9} - 2537632461 T^{10} + 1722919584 T^{11} + 104977883551 T^{12} + 63748024608 T^{13} - 3474018839109 T^{14} - 6327779373587 T^{15} + 94874762076525 T^{16} + 269112524708052 T^{17} - 2029420314905957 T^{18} - 8171641051731507 T^{19} + 36807272197638159 T^{20} + 154134623396961322 T^{21} - 461624099752113504 T^{22} - 2135011461353524956 T^{23} + 6582952005840035281 T^{24} \))(\( 1 + 12 T + 33 T^{2} + 66 T^{3} - 123 T^{4} - 16293 T^{5} - 86889 T^{6} - 159549 T^{7} - 1560558 T^{8} + 884255 T^{9} + 53702046 T^{10} + 169422120 T^{11} + 3972238272 T^{12} + 17437044276 T^{13} - 63399738222 T^{14} - 174293831277 T^{15} - 2469298667733 T^{16} - 21712578626970 T^{17} - 35120869766733 T^{18} - 803365409197890 T^{19} - 3380469876126477 T^{20} - 8828505435673881 T^{21} - 118821316785881742 T^{22} + 1209153648482040132 T^{23} + 10191676637310925248 T^{24} + 16083559879452381960 T^{25} + \)\(18\!\cdots\!66\)\( T^{26} + \)\(11\!\cdots\!35\)\( T^{27} - \)\(75\!\cdots\!42\)\( T^{28} - \)\(28\!\cdots\!37\)\( T^{29} - \)\(57\!\cdots\!09\)\( T^{30} - \)\(39\!\cdots\!21\)\( T^{31} - \)\(11\!\cdots\!47\)\( T^{32} + \)\(22\!\cdots\!38\)\( T^{33} + \)\(40\!\cdots\!53\)\( T^{34} + \)\(54\!\cdots\!04\)\( T^{35} + \)\(16\!\cdots\!29\)\( T^{36} \))(\( ( 1 + 1369 T^{4} )^{4} \))(\( ( 1 - 2338 T^{4} + 1874161 T^{8} )^{2} \))(\( ( 1 + 6 T + 18 T^{2} + 222 T^{3} + 1369 T^{4} )^{4} \))(\( ( 1 - 12 T + 72 T^{2} - 12 T^{3} - 1294 T^{4} - 444 T^{5} + 98568 T^{6} - 607836 T^{7} + 1874161 T^{8} )^{2} \))(\( ( 1 - 12 T + 72 T^{2} - 12 T^{3} - 1294 T^{4} - 444 T^{5} + 98568 T^{6} - 607836 T^{7} + 1874161 T^{8} )^{2} \))(\( ( 1 - 12 T + 72 T^{2} - 444 T^{3} + 1369 T^{4} )^{4} \))(\( ( 1 - 2338 T^{4} + 1874161 T^{8} )^{2} \))(\( ( 1 + 1369 T^{4} )^{4} \))(\( ( 1 + 6 T + 18 T^{2} + 96 T^{3} + 1261 T^{4} + 8316 T^{5} + 31806 T^{6} + 121158 T^{7} - 585756 T^{8} + 4482846 T^{9} + 43542414 T^{10} + 421230348 T^{11} + 2363317021 T^{12} + 6657019872 T^{13} + 46183075362 T^{14} + 569591262798 T^{15} + 3512479453921 T^{16} )^{2} \))(\( ( 1 + 6 T + 18 T^{2} + 96 T^{3} + 1261 T^{4} + 8316 T^{5} + 31806 T^{6} + 121158 T^{7} - 585756 T^{8} + 4482846 T^{9} + 43542414 T^{10} + 421230348 T^{11} + 2363317021 T^{12} + 6657019872 T^{13} + 46183075362 T^{14} + 569591262798 T^{15} + 3512479453921 T^{16} )^{2} \))
$41$ (\( 1 + 3 T + 41 T^{2} \))(\( 1 - 3 T + 41 T^{2} \))(\( 1 - 3 T + 41 T^{2} \))(\( 1 + 3 T + 41 T^{2} \))(\( 1 - 3 T + 41 T^{2} \))(\( 1 + 3 T + 41 T^{2} \))(\( 1 + 3 T + 41 T^{2} \))(\( 1 - 3 T + 41 T^{2} \))(\( ( 1 + 3 T + 41 T^{2} )^{2} \))(\( 1 + 55 T^{2} + 1681 T^{4} \))(\( ( 1 - 3 T + 41 T^{2} )^{2} \))(\( 1 + 55 T^{2} + 1681 T^{4} \))(\( ( 1 + 7 T + 41 T^{2} )^{2} \))(\( ( 1 + 11 T + 41 T^{2} )^{2} \))(\( ( 1 - 11 T + 41 T^{2} )^{2} \))(\( ( 1 - 7 T + 41 T^{2} )^{2} \))(\( ( 1 - T + 41 T^{2} )^{4} \))(\( ( 1 + T + 41 T^{2} )^{4} \))(\( ( 1 + 33 T^{2} + 2480 T^{4} + 55473 T^{6} + 2825761 T^{8} )^{2} \))(\( 1 - 12 T + 103 T^{2} - 492 T^{3} + 1681 T^{4} \))(\( 1 + 6 T - 5 T^{2} + 246 T^{3} + 1681 T^{4} \))(\( 1 + 3 T - 32 T^{2} + 123 T^{3} + 1681 T^{4} \))(\( 1 - 41 T^{2} + 1681 T^{4} \))(\( 1 - 41 T^{2} + 1681 T^{4} \))(\( 1 - 3 T - 32 T^{2} - 123 T^{3} + 1681 T^{4} \))(\( 1 - 3 T - 32 T^{2} - 123 T^{3} + 1681 T^{4} \))(\( 1 - 41 T^{2} + 1681 T^{4} \))(\( 1 - 41 T^{2} + 1681 T^{4} \))(\( 1 + 3 T - 32 T^{2} + 123 T^{3} + 1681 T^{4} \))(\( 1 + 12 T + 103 T^{2} + 492 T^{3} + 1681 T^{4} \))(\( 1 - 6 T - 5 T^{2} - 246 T^{3} + 1681 T^{4} \))(\( 1 - 55 T^{2} + 1344 T^{4} - 92455 T^{6} + 2825761 T^{8} \))(\( 1 - 55 T^{2} + 1344 T^{4} - 92455 T^{6} + 2825761 T^{8} \))(\( ( 1 - 88 T^{2} + 3975 T^{4} - 147928 T^{6} + 2825761 T^{8} )^{2} \))(\( ( 1 - 94 T^{2} + 5187 T^{4} - 158014 T^{6} + 2825761 T^{8} )^{2} \))(\( ( 1 - 164 T^{2} + 15706 T^{4} - 1022192 T^{6} + 48525763 T^{8} - 1718304752 T^{10} + 44381402266 T^{12} - 779017095524 T^{14} + 7984925229121 T^{16} )^{2} \))(\( ( 1 - 152 T^{2} + 11305 T^{4} - 547400 T^{6} + 22667056 T^{8} - 920179400 T^{10} + 31945228105 T^{12} - 722015844632 T^{14} + 7984925229121 T^{16} )^{2} \))(\( ( 1 + 7 T + 8 T^{2} + 287 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 - 2 T - 37 T^{2} - 82 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 + 2 T - 37 T^{2} + 82 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 - 2 T - 37 T^{2} - 82 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 + 2 T - 37 T^{2} + 82 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 - 7 T + 8 T^{2} - 287 T^{3} + 1681 T^{4} )^{2} \))(\( 1 - 33 T^{2} - 1391 T^{4} + 29106 T^{6} + 1494030 T^{8} + 48927186 T^{10} - 3930633551 T^{12} - 156753439953 T^{14} + 7984925229121 T^{16} \))(\( ( 1 - 6 T^{2} - 1645 T^{4} - 10086 T^{6} + 2825761 T^{8} )^{2} \))(\( 1 - 33 T^{2} - 1391 T^{4} + 29106 T^{6} + 1494030 T^{8} + 48927186 T^{10} - 3930633551 T^{12} - 156753439953 T^{14} + 7984925229121 T^{16} \))(\( 1 + 3 T - 18 T^{2} + 360 T^{3} + 873 T^{4} + 2145 T^{5} + 132193 T^{6} + 87945 T^{7} + 1467513 T^{8} + 24811560 T^{9} - 50863698 T^{10} + 347568603 T^{11} + 4750104241 T^{12} \))(\( 1 - 24 T + 306 T^{2} - 2367 T^{3} + 10215 T^{4} - 4452 T^{5} - 200266 T^{6} + 253035 T^{7} + 14775498 T^{8} - 138266487 T^{9} + 304828101 T^{10} + 4757745717 T^{11} - 52036947825 T^{12} + 195067574397 T^{13} + 512416037781 T^{14} - 9529464550527 T^{15} + 41752026003978 T^{16} + 29315673820035 T^{17} - 951284375928106 T^{18} - 867046027318212 T^{19} + 81566011215471015 T^{20} - 774913038710505687 T^{21} + 4107333748906634706 T^{22} - 13207896761189962584 T^{23} + 22563490300366186081 T^{24} \))(\( 1 + 12 T + 162 T^{2} + 981 T^{3} + 7119 T^{4} + 948 T^{5} - 90322 T^{6} - 2929149 T^{7} - 11806650 T^{8} - 82770471 T^{9} + 427481217 T^{10} + 3222901629 T^{11} + 47029551807 T^{12} + 132138966789 T^{13} + 718595925777 T^{14} - 5704623631791 T^{15} - 33362771110650 T^{16} - 339360075302949 T^{17} - 429038915255602 T^{18} + 184627051639188 T^{19} + 56844682706112399 T^{20} + 321161677640475741 T^{21} + 2174470808244688962 T^{22} + 6603948380594981292 T^{23} + 22563490300366186081 T^{24} \))(\( 1 + 6 T + 189 T^{2} + 1098 T^{3} + 15408 T^{4} + 97836 T^{5} + 688836 T^{6} + 5058186 T^{7} + 16113915 T^{8} + 110752560 T^{9} + 90241218 T^{10} - 3883670211 T^{11} - 4273955391 T^{12} - 368759578044 T^{13} - 334426618935 T^{14} - 9485594298081 T^{15} - 36407463599115 T^{16} + 48571680836202 T^{17} - 2127597554281052 T^{18} + 1991438914284282 T^{19} - 61200946310112315 T^{20} - 653756644618040601 T^{21} - 945009697148384535 T^{22} - 42723083794540850844 T^{23} - 20301733628633913231 T^{24} - \)\(75\!\cdots\!91\)\( T^{25} + \)\(72\!\cdots\!78\)\( T^{26} + \)\(36\!\cdots\!60\)\( T^{27} + \)\(21\!\cdots\!15\)\( T^{28} + \)\(27\!\cdots\!26\)\( T^{29} + \)\(15\!\cdots\!16\)\( T^{30} + \)\(90\!\cdots\!56\)\( T^{31} + \)\(58\!\cdots\!88\)\( T^{32} + \)\(17\!\cdots\!98\)\( T^{33} + \)\(12\!\cdots\!49\)\( T^{34} + \)\(15\!\cdots\!86\)\( T^{35} + \)\(10\!\cdots\!21\)\( T^{36} \))(\( ( 1 - 12 T + 140 T^{2} - 1104 T^{3} + 8751 T^{4} - 45264 T^{5} + 235340 T^{6} - 827052 T^{7} + 2825761 T^{8} )^{2} \))(\( 1 + 88 T^{2} + 3769 T^{4} + 53944 T^{6} - 42800 T^{8} + 90679864 T^{10} + 10650293209 T^{12} + 418009173208 T^{14} + 7984925229121 T^{16} \))(\( ( 1 - 16 T^{2} - 1425 T^{4} - 26896 T^{6} + 2825761 T^{8} )^{2} \))(\( 1 + 52 T^{2} - 134 T^{4} - 27248 T^{6} + 683059 T^{8} - 45803888 T^{10} - 378651974 T^{12} + 247005420532 T^{14} + 7984925229121 T^{16} \))(\( 1 + 52 T^{2} - 134 T^{4} - 27248 T^{6} + 683059 T^{8} - 45803888 T^{10} - 378651974 T^{12} + 247005420532 T^{14} + 7984925229121 T^{16} \))(\( ( 1 + 50 T^{2} + 819 T^{4} + 84050 T^{6} + 2825761 T^{8} )^{2} \))(\( 1 + 88 T^{2} + 3769 T^{4} + 53944 T^{6} - 42800 T^{8} + 90679864 T^{10} + 10650293209 T^{12} + 418009173208 T^{14} + 7984925229121 T^{16} \))(\( ( 1 + 12 T + 140 T^{2} + 1104 T^{3} + 8751 T^{4} + 45264 T^{5} + 235340 T^{6} + 827052 T^{7} + 2825761 T^{8} )^{2} \))(\( 1 + 152 T^{2} + 11799 T^{4} + 623560 T^{6} + 21931169 T^{8} + 217751376 T^{10} - 32581120670 T^{12} - 2819619263008 T^{14} - 139543688040882 T^{16} - 4739779981116448 T^{18} - 92066460125579870 T^{20} + 1034341734621185616 T^{22} + \)\(17\!\cdots\!49\)\( T^{24} + \)\(83\!\cdots\!60\)\( T^{26} + \)\(26\!\cdots\!19\)\( T^{28} + \)\(57\!\cdots\!72\)\( T^{30} + \)\(63\!\cdots\!41\)\( T^{32} \))(\( 1 + 152 T^{2} + 11799 T^{4} + 623560 T^{6} + 21931169 T^{8} + 217751376 T^{10} - 32581120670 T^{12} - 2819619263008 T^{14} - 139543688040882 T^{16} - 4739779981116448 T^{18} - 92066460125579870 T^{20} + 1034341734621185616 T^{22} + \)\(17\!\cdots\!49\)\( T^{24} + \)\(83\!\cdots\!60\)\( T^{26} + \)\(26\!\cdots\!19\)\( T^{28} + \)\(57\!\cdots\!72\)\( T^{30} + \)\(63\!\cdots\!41\)\( T^{32} \))
$43$ (\( 1 - 11 T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 - 11 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 + 17 T + 150 T^{2} + 731 T^{3} + 1849 T^{4} \))(\( 1 - 4 T + 78 T^{2} - 172 T^{3} + 1849 T^{4} \))(\( 1 + 17 T + 150 T^{2} + 731 T^{3} + 1849 T^{4} \))(\( 1 - 4 T + 78 T^{2} - 172 T^{3} + 1849 T^{4} \))(\( 1 + 14 T^{2} + 1849 T^{4} \))(\( 1 - 70 T^{2} + 1849 T^{4} \))(\( 1 - 70 T^{2} + 1849 T^{4} \))(\( 1 + 14 T^{2} + 1849 T^{4} \))(\( 1 - 110 T^{2} + 6123 T^{4} - 203390 T^{6} + 3418801 T^{8} \))(\( 1 - 110 T^{2} + 6123 T^{4} - 203390 T^{6} + 3418801 T^{8} \))(\( ( 1 - 128 T^{2} + 7566 T^{4} - 236672 T^{6} + 3418801 T^{8} )^{2} \))(\( 1 - 7 T + 6 T^{2} - 301 T^{3} + 1849 T^{4} \))(\( 1 - 4 T - 27 T^{2} - 172 T^{3} + 1849 T^{4} \))(\( ( 1 - 5 T + 43 T^{2} )( 1 + 13 T + 43 T^{2} ) \))(\( 1 - T - 42 T^{2} - 43 T^{3} + 1849 T^{4} \))(\( ( 1 - 5 T + 43 T^{2} )( 1 + 13 T + 43 T^{2} ) \))(\( 1 - 4 T - 27 T^{2} - 172 T^{3} + 1849 T^{4} \))(\( ( 1 - 5 T + 43 T^{2} )( 1 + 13 T + 43 T^{2} ) \))(\( ( 1 - 5 T + 43 T^{2} )( 1 + 13 T + 43 T^{2} ) \))(\( 1 - T - 42 T^{2} - 43 T^{3} + 1849 T^{4} \))(\( 1 - 4 T - 27 T^{2} - 172 T^{3} + 1849 T^{4} \))(\( 1 - 7 T + 6 T^{2} - 301 T^{3} + 1849 T^{4} \))(\( 1 - 4 T - 27 T^{2} - 172 T^{3} + 1849 T^{4} \))(\( 1 + 4 T - 62 T^{2} - 32 T^{3} + 3547 T^{4} - 1376 T^{5} - 114638 T^{6} + 318028 T^{7} + 3418801 T^{8} \))(\( 1 + 4 T - 62 T^{2} - 32 T^{3} + 3547 T^{4} - 1376 T^{5} - 114638 T^{6} + 318028 T^{7} + 3418801 T^{8} \))(\( ( 1 - 2674 T^{4} + 3418801 T^{8} )^{2} \))(\( ( 1 + 1778 T^{4} + 3418801 T^{8} )^{2} \))(\( ( 1 + 48 T^{3} - 854 T^{4} - 1872 T^{5} + 1152 T^{6} - 12624 T^{7} - 3671229 T^{8} - 542832 T^{9} + 2130048 T^{10} - 148837104 T^{11} - 2919656054 T^{12} + 7056405264 T^{13} + 11688200277601 T^{16} )^{2} \))(\( ( 1 - 24 T + 288 T^{2} - 2808 T^{3} + 24640 T^{4} - 182232 T^{5} + 1219680 T^{6} - 8096952 T^{7} + 53432094 T^{8} - 348168936 T^{9} + 2255188320 T^{10} - 14488719624 T^{11} + 84239256640 T^{12} - 412799707944 T^{13} + 1820552558112 T^{14} - 6523646666568 T^{15} + 11688200277601 T^{16} )^{2} \))(\( 1 - 14 T^{2} - 1653 T^{4} - 25886 T^{6} + 3418801 T^{8} \))(\( 1 + 70 T^{2} + 3051 T^{4} + 129430 T^{6} + 3418801 T^{8} \))(\( 1 + 85 T^{2} + 5376 T^{4} + 157165 T^{6} + 3418801 T^{8} \))(\( 1 + 85 T^{2} + 5376 T^{4} + 157165 T^{6} + 3418801 T^{8} \))(\( 1 + 70 T^{2} + 3051 T^{4} + 129430 T^{6} + 3418801 T^{8} \))(\( 1 - 14 T^{2} - 1653 T^{4} - 25886 T^{6} + 3418801 T^{8} \))(\( ( 1 + 6 T + 82 T^{2} + 420 T^{3} + 3567 T^{4} + 18060 T^{5} + 151618 T^{6} + 477042 T^{7} + 3418801 T^{8} )^{2} \))(\( ( 1 + 10 T^{2} - 1749 T^{4} + 18490 T^{6} + 3418801 T^{8} )^{2} \))(\( ( 1 - 6 T + 82 T^{2} - 420 T^{3} + 3567 T^{4} - 18060 T^{5} + 151618 T^{6} - 477042 T^{7} + 3418801 T^{8} )^{2} \))(\( 1 - 9 T + 36 T^{2} + 308 T^{3} - 1485 T^{4} + 2403 T^{5} + 82749 T^{6} + 103329 T^{7} - 2745765 T^{8} + 24488156 T^{9} + 123076836 T^{10} - 1323075987 T^{11} + 6321363049 T^{12} \))(\( 1 - 33 T + 501 T^{2} - 4391 T^{3} + 18753 T^{4} + 88950 T^{5} - 2516309 T^{6} + 25819146 T^{7} - 161012736 T^{8} + 459871783 T^{9} + 2998070472 T^{10} - 54944633577 T^{11} + 452691388393 T^{12} - 2362619243811 T^{13} + 5543432302728 T^{14} + 36563025850981 T^{15} - 550470502849536 T^{16} + 3795632453049678 T^{17} - 15906502732466141 T^{18} + 24178265457967650 T^{19} + 219188819805851553 T^{20} - 2206884159014677613 T^{21} + 10827352638955408749 T^{22} - 30666693402550349331 T^{23} + 39959630797262576401 T^{24} \))(\( 1 + 3 T + 135 T^{2} - 41 T^{3} + 11745 T^{4} - 2976 T^{5} + 890125 T^{6} - 512442 T^{7} + 52636572 T^{8} - 23423057 T^{9} + 2843039946 T^{10} - 1649186559 T^{11} + 124731366553 T^{12} - 70915022037 T^{13} + 5256780860154 T^{14} - 1862296992899 T^{15} + 179953964990172 T^{16} - 75333300547806 T^{17} + 5626803283991125 T^{18} - 808932186654432 T^{19} + 137277912260423745 T^{20} - 20606297089410563 T^{21} + 2917550112293373615 T^{22} + 2787881218413668121 T^{23} + 39959630797262576401 T^{24} \))(\( 1 + 33 T + 651 T^{2} + 9801 T^{3} + 120201 T^{4} + 1272846 T^{5} + 12022866 T^{6} + 104112357 T^{7} + 845621319 T^{8} + 6494485262 T^{9} + 47405717541 T^{10} + 327205304667 T^{11} + 2124047637819 T^{12} + 13002192724320 T^{13} + 75611863872621 T^{14} + 428872536660429 T^{15} + 2449290454851555 T^{16} + 14560575166653129 T^{17} + 92399683324449363 T^{18} + 626104732166084547 T^{19} + 4528738051020525195 T^{20} + 34098368772260728503 T^{21} + \)\(25\!\cdots\!21\)\( T^{22} + \)\(19\!\cdots\!60\)\( T^{23} + \)\(13\!\cdots\!31\)\( T^{24} + \)\(88\!\cdots\!69\)\( T^{25} + \)\(55\!\cdots\!41\)\( T^{26} + \)\(32\!\cdots\!66\)\( T^{27} + \)\(18\!\cdots\!31\)\( T^{28} + \)\(96\!\cdots\!99\)\( T^{29} + \)\(48\!\cdots\!66\)\( T^{30} + \)\(21\!\cdots\!78\)\( T^{31} + \)\(88\!\cdots\!49\)\( T^{32} + \)\(31\!\cdots\!07\)\( T^{33} + \)\(88\!\cdots\!51\)\( T^{34} + \)\(19\!\cdots\!19\)\( T^{35} + \)\(25\!\cdots\!49\)\( T^{36} \))(\( 1 - 24 T + 288 T^{2} - 1536 T^{3} - 1895 T^{4} + 85968 T^{5} - 337824 T^{6} - 2751048 T^{7} + 37306944 T^{8} - 118295064 T^{9} - 624636576 T^{10} + 6835057776 T^{11} - 6478627895 T^{12} - 225804968448 T^{13} + 1820552558112 T^{14} - 6523646666568 T^{15} + 11688200277601 T^{16} \))(\( ( 1 - 18 T + 162 T^{2} - 972 T^{3} + 5711 T^{4} - 41796 T^{5} + 299538 T^{6} - 1431126 T^{7} + 3418801 T^{8} )^{2} \))(\( ( 1 - 1849 T^{4} + 3418801 T^{8} )^{2} \))(\( ( 1 + 36 T^{2} + 372 T^{3} + 359 T^{4} + 15996 T^{5} + 66564 T^{6} + 3418801 T^{8} )^{2} \))(\( ( 1 - 12 T + 36 T^{2} + 516 T^{3} - 5833 T^{4} + 22188 T^{5} + 66564 T^{6} - 954084 T^{7} + 3418801 T^{8} )^{2} \))(\( ( 1 + 12 T + 72 T^{2} - 168 T^{3} - 2857 T^{4} - 7224 T^{5} + 133128 T^{6} + 954084 T^{7} + 3418801 T^{8} )^{2} \))(\( ( 1 + 18 T + 162 T^{2} + 972 T^{3} + 5711 T^{4} + 41796 T^{5} + 299538 T^{6} + 1431126 T^{7} + 3418801 T^{8} )^{2} \))(\( 1 - 24 T + 288 T^{2} - 1536 T^{3} - 1895 T^{4} + 85968 T^{5} - 337824 T^{6} - 2751048 T^{7} + 37306944 T^{8} - 118295064 T^{9} - 624636576 T^{10} + 6835057776 T^{11} - 6478627895 T^{12} - 225804968448 T^{13} + 1820552558112 T^{14} - 6523646666568 T^{15} + 11688200277601 T^{16} \))(\( ( 1 + 6 T - 6 T^{2} - 612 T^{3} - 2474 T^{4} - 8706 T^{5} + 80256 T^{6} + 331830 T^{7} + 5701707 T^{8} + 14268690 T^{9} + 148393344 T^{10} - 692187942 T^{11} - 8458113674 T^{12} - 89969167116 T^{13} - 37928178294 T^{14} + 1630911666642 T^{15} + 11688200277601 T^{16} )^{2} \))(\( ( 1 + 18 T + 186 T^{2} + 900 T^{3} + 118 T^{4} - 20022 T^{5} + 62592 T^{6} + 3238770 T^{7} + 29590443 T^{8} + 139267110 T^{9} + 115732608 T^{10} - 1591889154 T^{11} + 403418518 T^{12} + 132307598700 T^{13} + 1175773527114 T^{14} + 4892734999926 T^{15} + 11688200277601 T^{16} )^{2} \))
$47$ (\( 1 + 47 T^{2} \))(\( 1 - 3 T + 47 T^{2} \))(\( 1 - 9 T + 47 T^{2} \))(\( 1 + 3 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 9 T + 47 T^{2} \))(\( 1 + 3 T + 47 T^{2} \))(\( 1 - 3 T + 47 T^{2} \))(\( 1 + 9 T + 106 T^{2} + 423 T^{3} + 2209 T^{4} \))(\( 1 - 6 T + 91 T^{2} - 282 T^{3} + 2209 T^{4} \))(\( 1 - 9 T + 106 T^{2} - 423 T^{3} + 2209 T^{4} \))(\( 1 + 6 T + 91 T^{2} + 282 T^{3} + 2209 T^{4} \))(\( 1 - 45 T^{2} + 2209 T^{4} \))(\( 1 - 45 T^{2} + 2209 T^{4} \))(\( 1 - 45 T^{2} + 2209 T^{4} \))(\( 1 - 45 T^{2} + 2209 T^{4} \))(\( 1 - 168 T^{2} + 11378 T^{4} - 371112 T^{6} + 4879681 T^{8} \))(\( 1 - 168 T^{2} + 11378 T^{4} - 371112 T^{6} + 4879681 T^{8} \))(\( ( 1 - 75 T^{2} + 3416 T^{4} - 165675 T^{6} + 4879681 T^{8} )^{2} \))(\( 1 - 3 T - 38 T^{2} - 141 T^{3} + 2209 T^{4} \))(\( 1 - 47 T^{2} + 2209 T^{4} \))(\( 1 + 3 T - 38 T^{2} + 141 T^{3} + 2209 T^{4} \))(\( 1 + 9 T + 34 T^{2} + 423 T^{3} + 2209 T^{4} \))(\( 1 - 47 T^{2} + 2209 T^{4} \))(\( 1 - 9 T + 34 T^{2} - 423 T^{3} + 2209 T^{4} \))(\( 1 - 3 T - 38 T^{2} - 141 T^{3} + 2209 T^{4} \))(\( 1 - 47 T^{2} + 2209 T^{4} \))(\( 1 - 9 T + 34 T^{2} - 423 T^{3} + 2209 T^{4} \))(\( 1 + 9 T + 34 T^{2} + 423 T^{3} + 2209 T^{4} \))(\( 1 + 3 T - 38 T^{2} + 141 T^{3} + 2209 T^{4} \))(\( 1 - 47 T^{2} + 2209 T^{4} \))(\( 1 - 6 T - 55 T^{2} + 18 T^{3} + 4380 T^{4} + 846 T^{5} - 121495 T^{6} - 622938 T^{7} + 4879681 T^{8} \))(\( 1 + 6 T - 55 T^{2} - 18 T^{3} + 4380 T^{4} - 846 T^{5} - 121495 T^{6} + 622938 T^{7} + 4879681 T^{8} \))(\( 1 + 862 T^{4} - 5000349 T^{8} + 4206285022 T^{12} + 23811286661761 T^{16} \))(\( ( 1 - 4249 T^{4} + 4879681 T^{8} )^{2} \))(\( 1 - 304 T^{4} + 9529252 T^{8} - 7755698320 T^{12} + 58893451167046 T^{16} - 37845333733835920 T^{20} + \)\(22\!\cdots\!72\)\( T^{24} - \)\(35\!\cdots\!64\)\( T^{28} + \)\(56\!\cdots\!21\)\( T^{32} \))(\( 1 + 3122 T^{4} + 6036433 T^{8} + 16036769810 T^{12} + 45511268395876 T^{16} + 78254320943230610 T^{20} + \)\(14\!\cdots\!13\)\( T^{24} + \)\(36\!\cdots\!02\)\( T^{28} + \)\(56\!\cdots\!21\)\( T^{32} \))(\( 1 + 45 T^{2} - 184 T^{4} + 99405 T^{6} + 4879681 T^{8} \))(\( 1 + 30 T^{2} - 1309 T^{4} + 66270 T^{6} + 4879681 T^{8} \))(\( 1 - 75 T^{2} + 3416 T^{4} - 165675 T^{6} + 4879681 T^{8} \))(\( 1 - 75 T^{2} + 3416 T^{4} - 165675 T^{6} + 4879681 T^{8} \))(\( 1 + 30 T^{2} - 1309 T^{4} + 66270 T^{6} + 4879681 T^{8} \))(\( 1 + 45 T^{2} - 184 T^{4} + 99405 T^{6} + 4879681 T^{8} \))(\( ( 1 + 75 T^{2} + 2209 T^{4} )^{2}( 1 - 75 T^{2} + 3416 T^{4} - 165675 T^{6} + 4879681 T^{8} ) \))(\( ( 1 + 90 T^{2} + 5891 T^{4} + 198810 T^{6} + 4879681 T^{8} )^{2} \))(\( ( 1 + 75 T^{2} + 2209 T^{4} )^{2}( 1 - 75 T^{2} + 3416 T^{4} - 165675 T^{6} + 4879681 T^{8} ) \))(\( 1 - 6 T + 306 T^{3} - 1548 T^{4} - 13254 T^{5} + 108253 T^{6} - 622938 T^{7} - 3419532 T^{8} + 31769838 T^{9} - 1376070042 T^{11} + 10779215329 T^{12} \))(\( ( 1 - 9 T + 144 T^{2} - 1044 T^{3} + 11142 T^{4} - 68985 T^{5} + 573121 T^{6} - 3242295 T^{7} + 24612678 T^{8} - 108391212 T^{9} + 702674064 T^{10} - 2064105063 T^{11} + 10779215329 T^{12} )^{2} \))(\( 1 + 6 T - 123 T^{2} - 666 T^{3} + 12120 T^{4} + 53052 T^{5} - 993736 T^{6} - 2582856 T^{7} + 71633862 T^{8} + 118583568 T^{9} - 4082362821 T^{10} - 2160128934 T^{11} + 208642925727 T^{12} - 101526059898 T^{13} - 9017939471589 T^{14} + 12311701780464 T^{15} + 349550395358022 T^{16} - 592365127399992 T^{17} - 10711694324179144 T^{18} + 26877369786803076 T^{19} + 288592794340543320 T^{20} - 745340895086442822 T^{21} - 6469693265007096027 T^{22} + 14832955290504073818 T^{23} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 - 33 T + 729 T^{2} - 11529 T^{3} + 147951 T^{4} - 1540167 T^{5} + 13336842 T^{6} - 91127616 T^{7} + 435205728 T^{8} - 256372371 T^{9} - 22378397004 T^{10} + 310975706262 T^{11} - 2711193939606 T^{12} + 17182537241250 T^{13} - 66013347382101 T^{14} - 104969965294368 T^{15} + 4916616703416666 T^{16} - 55624626586954122 T^{17} + 438775806324211963 T^{18} - 2614357449586843734 T^{19} + 10860806297847415194 T^{20} - 10898296706757168864 T^{21} - \)\(32\!\cdots\!81\)\( T^{22} + \)\(39\!\cdots\!50\)\( T^{23} - \)\(29\!\cdots\!74\)\( T^{24} + \)\(15\!\cdots\!06\)\( T^{25} - \)\(53\!\cdots\!44\)\( T^{26} - \)\(28\!\cdots\!57\)\( T^{27} + \)\(22\!\cdots\!72\)\( T^{28} - \)\(22\!\cdots\!48\)\( T^{29} + \)\(15\!\cdots\!22\)\( T^{30} - \)\(84\!\cdots\!09\)\( T^{31} + \)\(37\!\cdots\!19\)\( T^{32} - \)\(13\!\cdots\!47\)\( T^{33} + \)\(41\!\cdots\!09\)\( T^{34} - \)\(87\!\cdots\!71\)\( T^{35} + \)\(12\!\cdots\!89\)\( T^{36} \))(\( 1 - 36 T + 648 T^{2} - 7776 T^{3} + 71497 T^{4} - 559728 T^{5} + 4053240 T^{6} - 28443924 T^{7} + 196306608 T^{8} - 1336864428 T^{9} + 8953607160 T^{10} - 58112640144 T^{11} + 348882552457 T^{12} - 1783386774432 T^{13} + 6984931533192 T^{14} - 18238432336668 T^{15} + 23811286661761 T^{16} \))(\( 1 - 216 T^{2} + 22897 T^{4} - 1586520 T^{6} + 83423712 T^{8} - 3504622680 T^{10} + 111730055857 T^{12} - 2328310511064 T^{14} + 23811286661761 T^{16} \))(\( ( 1 - 2209 T^{4} + 4879681 T^{8} )^{2} \))(\( 1 + 1054 T^{4} - 3768765 T^{8} + 5143183774 T^{12} + 23811286661761 T^{16} \))(\( 1 + 1054 T^{4} - 3768765 T^{8} + 5143183774 T^{12} + 23811286661761 T^{16} \))(\( ( 1 - 2209 T^{4} + 4879681 T^{8} )^{2} \))(\( 1 + 216 T^{2} + 22897 T^{4} + 1586520 T^{6} + 83423712 T^{8} + 3504622680 T^{10} + 111730055857 T^{12} + 2328310511064 T^{14} + 23811286661761 T^{16} \))(\( 1 + 36 T + 648 T^{2} + 7776 T^{3} + 71497 T^{4} + 559728 T^{5} + 4053240 T^{6} + 28443924 T^{7} + 196306608 T^{8} + 1336864428 T^{9} + 8953607160 T^{10} + 58112640144 T^{11} + 348882552457 T^{12} + 1783386774432 T^{13} + 6984931533192 T^{14} + 18238432336668 T^{15} + 23811286661761 T^{16} \))(\( 1 + 144 T^{2} + 8807 T^{4} + 272880 T^{6} + 2368321 T^{8} - 94365792 T^{10} + 9399168002 T^{12} + 1818902210688 T^{14} + 121018666055374 T^{16} + 4017954983409792 T^{18} + 45864941515167362 T^{20} - 1017189191659625568 T^{22} + 56392770238068473281 T^{24} + \)\(14\!\cdots\!20\)\( T^{26} + \)\(10\!\cdots\!87\)\( T^{28} + \)\(36\!\cdots\!36\)\( T^{30} + \)\(56\!\cdots\!21\)\( T^{32} \))(\( 1 - 144 T^{2} + 8807 T^{4} - 272880 T^{6} + 2368321 T^{8} + 94365792 T^{10} + 9399168002 T^{12} - 1818902210688 T^{14} + 121018666055374 T^{16} - 4017954983409792 T^{18} + 45864941515167362 T^{20} + 1017189191659625568 T^{22} + 56392770238068473281 T^{24} - \)\(14\!\cdots\!20\)\( T^{26} + \)\(10\!\cdots\!87\)\( T^{28} - \)\(36\!\cdots\!36\)\( T^{30} + \)\(56\!\cdots\!21\)\( T^{32} \))
$53$ (\( 1 - 6 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 + 9 T + 53 T^{2} \))(\( 1 - 3 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - 9 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 + 3 T + 53 T^{2} \))(\( 1 - 26 T^{2} + 2809 T^{4} \))(\( 1 - 18 T + 175 T^{2} - 954 T^{3} + 2809 T^{4} \))(\( 1 - 26 T^{2} + 2809 T^{4} \))(\( 1 + 18 T + 175 T^{2} + 954 T^{3} + 2809 T^{4} \))(\( 1 - 97 T^{2} + 2809 T^{4} \))(\( ( 1 - 53 T^{2} )^{2} \))(\( ( 1 - 53 T^{2} )^{2} \))(\( 1 - 97 T^{2} + 2809 T^{4} \))(\( 1 - 128 T^{2} + 8850 T^{4} - 359552 T^{6} + 7890481 T^{8} \))(\( 1 - 128 T^{2} + 8850 T^{4} - 359552 T^{6} + 7890481 T^{8} \))(\( ( 1 - 143 T^{2} + 9576 T^{4} - 401687 T^{6} + 7890481 T^{8} )^{2} \))(\( ( 1 - 12 T + 53 T^{2} )^{2} \))(\( ( 1 - 6 T + 53 T^{2} )^{2} \))(\( ( 1 + 3 T + 53 T^{2} )^{2} \))(\( ( 1 + 12 T + 53 T^{2} )^{2} \))(\( ( 1 - 6 T + 53 T^{2} )^{2} \))(\( ( 1 - 9 T + 53 T^{2} )^{2} \))(\( ( 1 - 3 T + 53 T^{2} )^{2} \))(\( ( 1 + 6 T + 53 T^{2} )^{2} \))(\( ( 1 - 12 T + 53 T^{2} )^{2} \))(\( ( 1 + 9 T + 53 T^{2} )^{2} \))(\( ( 1 + 12 T + 53 T^{2} )^{2} \))(\( ( 1 + 6 T + 53 T^{2} )^{2} \))(\( ( 1 + 18 T + 175 T^{2} + 954 T^{3} + 2809 T^{4} )^{2} \))(\( ( 1 - 18 T + 175 T^{2} - 954 T^{3} + 2809 T^{4} )^{2} \))(\( 1 + 878 T^{4} + 6253683 T^{8} + 6927842318 T^{12} + 62259690411361 T^{16} \))(\( 1 - 4900 T^{4} + 13820838 T^{8} - 38663356900 T^{12} + 62259690411361 T^{16} \))(\( 1 + 4192 T^{4} + 3754180 T^{8} - 35115635936 T^{12} - 139198621476794 T^{16} - 277079258155925216 T^{20} + \)\(23\!\cdots\!80\)\( T^{24} + \)\(20\!\cdots\!72\)\( T^{28} + \)\(38\!\cdots\!21\)\( T^{32} \))(\( 1 - 11390 T^{4} + 67707937 T^{8} - 267982466942 T^{12} + 832076748621604 T^{16} - 2114510563738979102 T^{20} + \)\(42\!\cdots\!57\)\( T^{24} - \)\(55\!\cdots\!90\)\( T^{28} + \)\(38\!\cdots\!21\)\( T^{32} \))(\( ( 1 - 97 T^{2} + 2809 T^{4} )^{2} \))(\( ( 1 - 70 T^{2} + 2809 T^{4} )^{2} \))(\( ( 1 - 53 T^{2} )^{4} \))(\( ( 1 - 53 T^{2} )^{4} \))(\( ( 1 - 70 T^{2} + 2809 T^{4} )^{2} \))(\( ( 1 - 97 T^{2} + 2809 T^{4} )^{2} \))(\( ( 1 - 143 T^{2} + 9576 T^{4} - 401687 T^{6} + 7890481 T^{8} )^{2} \))(\( ( 1 - 97 T^{2} + 2809 T^{4} )^{4} \))(\( ( 1 - 143 T^{2} + 9576 T^{4} - 401687 T^{6} + 7890481 T^{8} )^{2} \))(\( ( 1 + 123 T^{2} + 72 T^{3} + 6519 T^{4} + 148877 T^{6} )^{2} \))(\( ( 1 + 12 T + 210 T^{2} + 2340 T^{3} + 23514 T^{4} + 208218 T^{5} + 1609981 T^{6} + 11035554 T^{7} + 66050826 T^{8} + 348372180 T^{9} + 1657001010 T^{10} + 5018345916 T^{11} + 22164361129 T^{12} )^{2} \))(\( ( 1 - 30 T + 576 T^{2} - 7596 T^{3} + 81198 T^{4} - 713082 T^{5} + 5564881 T^{6} - 37793346 T^{7} + 228085182 T^{8} - 1130869692 T^{9} + 4544917056 T^{10} - 12545864790 T^{11} + 22164361129 T^{12} )^{2} \))(\( ( 1 + 12 T + 279 T^{2} + 2484 T^{3} + 38007 T^{4} + 292224 T^{5} + 3555546 T^{6} + 23894580 T^{7} + 244389051 T^{8} + 1443706848 T^{9} + 12952619703 T^{10} + 67119875220 T^{11} + 529339021842 T^{12} + 2305787919744 T^{13} + 15894356102451 T^{14} + 55056273044436 T^{15} + 327744408014523 T^{16} + 747116284936332 T^{17} + 3299763591802133 T^{18} )^{2} \))(\( ( 1 - 3854 T^{4} + 7890481 T^{8} )^{2} \))(\( 1 + 878 T^{4} + 6253683 T^{8} + 6927842318 T^{12} + 62259690411361 T^{16} \))(\( ( 1 - 56 T^{2} + 2809 T^{4} )^{2}( 1 + 56 T^{2} + 2809 T^{4} )^{2} \))(\( 1 + 878 T^{4} + 6253683 T^{8} + 6927842318 T^{12} + 62259690411361 T^{16} \))(\( 1 + 878 T^{4} + 6253683 T^{8} + 6927842318 T^{12} + 62259690411361 T^{16} \))(\( ( 1 - 56 T^{2} + 2809 T^{4} )^{2}( 1 + 56 T^{2} + 2809 T^{4} )^{2} \))(\( 1 + 878 T^{4} + 6253683 T^{8} + 6927842318 T^{12} + 62259690411361 T^{16} \))(\( ( 1 - 3854 T^{4} + 7890481 T^{8} )^{2} \))(\( 1 - 11390 T^{4} + 67707937 T^{8} - 267982466942 T^{12} + 832076748621604 T^{16} - 2114510563738979102 T^{20} + \)\(42\!\cdots\!57\)\( T^{24} - \)\(55\!\cdots\!90\)\( T^{28} + \)\(38\!\cdots\!21\)\( T^{32} \))(\( 1 - 11390 T^{4} + 67707937 T^{8} - 267982466942 T^{12} + 832076748621604 T^{16} - 2114510563738979102 T^{20} + \)\(42\!\cdots\!57\)\( T^{24} - \)\(55\!\cdots\!90\)\( T^{28} + \)\(38\!\cdots\!21\)\( T^{32} \))
$59$ (\( 1 + 3 T + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 - 15 T + 59 T^{2} \))(\( 1 - 9 T + 59 T^{2} \))(\( 1 - 3 T + 59 T^{2} \))(\( 1 + 15 T + 59 T^{2} \))(\( 1 - 6 T + 59 T^{2} \))(\( 1 + 9 T + 59 T^{2} \))(\( 1 - 3 T + 112 T^{2} - 177 T^{3} + 3481 T^{4} \))(\( 1 + 43 T^{2} + 3481 T^{4} \))(\( 1 + 3 T + 112 T^{2} + 177 T^{3} + 3481 T^{4} \))(\( 1 + 43 T^{2} + 3481 T^{4} \))(\( ( 1 + T + 59 T^{2} )^{2} \))(\( ( 1 - 4 T + 59 T^{2} )^{2} \))(\( ( 1 + 4 T + 59 T^{2} )^{2} \))(\( ( 1 - T + 59 T^{2} )^{2} \))(\( ( 1 - 2 T - 31 T^{2} - 118 T^{3} + 3481 T^{4} )^{2} \))(\( ( 1 + 2 T - 31 T^{2} + 118 T^{3} + 3481 T^{4} )^{2} \))(\( ( 1 + 153 T^{2} + 12116 T^{4} + 532593 T^{6} + 12117361 T^{8} )^{2} \))(\( 1 + 12 T + 85 T^{2} + 708 T^{3} + 3481 T^{4} \))(\( 1 - 59 T^{2} + 3481 T^{4} \))(\( 1 - 9 T + 22 T^{2} - 531 T^{3} + 3481 T^{4} \))(\( 1 + 12 T + 85 T^{2} + 708 T^{3} + 3481 T^{4} \))(\( 1 - 6 T - 23 T^{2} - 354 T^{3} + 3481 T^{4} \))(\( 1 - 15 T + 166 T^{2} - 885 T^{3} + 3481 T^{4} \))(\( 1 + 9 T + 22 T^{2} + 531 T^{3} + 3481 T^{4} \))(\( 1 + 6 T - 23 T^{2} + 354 T^{3} + 3481 T^{4} \))(\( 1 - 12 T + 85 T^{2} - 708 T^{3} + 3481 T^{4} \))(\( 1 + 15 T + 166 T^{2} + 885 T^{3} + 3481 T^{4} \))(\( 1 - 12 T + 85 T^{2} - 708 T^{3} + 3481 T^{4} \))(\( 1 - 59 T^{2} + 3481 T^{4} \))(\( 1 - 43 T^{2} - 1632 T^{4} - 149683 T^{6} + 12117361 T^{8} \))(\( 1 - 43 T^{2} - 1632 T^{4} - 149683 T^{6} + 12117361 T^{8} \))(\( ( 1 + 208 T^{2} + 17751 T^{4} + 724048 T^{6} + 12117361 T^{8} )^{2} \))(\( ( 1 + 16 T^{2} + 6162 T^{4} + 55696 T^{6} + 12117361 T^{8} )^{2} \))(\( ( 1 + 428 T^{2} + 82366 T^{4} + 9314120 T^{6} + 677203795 T^{8} + 32422451720 T^{10} + 998058556126 T^{12} + 18053268398348 T^{14} + 146830437604321 T^{16} )^{2} \))(\( ( 1 + 236 T^{2} + 25549 T^{4} + 1742528 T^{6} + 100945948 T^{8} + 6065739968 T^{10} + 309586456189 T^{12} + 9954605939276 T^{14} + 146830437604321 T^{16} )^{2} \))(\( ( 1 + T - 58 T^{2} + 59 T^{3} + 3481 T^{4} )^{2} \))(\( ( 1 + 10 T + 41 T^{2} + 590 T^{3} + 3481 T^{4} )^{2} \))(\( ( 1 - 4 T - 43 T^{2} - 236 T^{3} + 3481 T^{4} )^{2} \))(\( ( 1 + 4 T - 43 T^{2} + 236 T^{3} + 3481 T^{4} )^{2} \))(\( ( 1 - 10 T + 41 T^{2} - 590 T^{3} + 3481 T^{4} )^{2} \))(\( ( 1 - T - 58 T^{2} - 59 T^{3} + 3481 T^{4} )^{2} \))(\( 1 - 153 T^{2} + 11293 T^{4} - 788562 T^{6} + 53193366 T^{8} - 2744984322 T^{10} + 136841357773 T^{12} - 6453621647073 T^{14} + 146830437604321 T^{16} \))(\( ( 1 - 42 T^{2} - 1717 T^{4} - 146202 T^{6} + 12117361 T^{8} )^{2} \))(\( 1 - 153 T^{2} + 11293 T^{4} - 788562 T^{6} + 53193366 T^{8} - 2744984322 T^{10} + 136841357773 T^{12} - 6453621647073 T^{14} + 146830437604321 T^{16} \))(\( 1 - 30 T + 477 T^{2} - 5535 T^{3} + 56835 T^{4} - 528249 T^{5} + 4356478 T^{6} - 31166691 T^{7} + 197842635 T^{8} - 1136772765 T^{9} + 5779981197 T^{10} - 21447728970 T^{11} + 42180533641 T^{12} \))(\( 1 + 36 T + 801 T^{2} + 13671 T^{3} + 193464 T^{4} + 2371356 T^{5} + 25696973 T^{6} + 251809839 T^{7} + 2265704379 T^{8} + 19048269096 T^{9} + 152569445967 T^{10} + 1187740518138 T^{11} + 9149558288403 T^{12} + 70076690570142 T^{13} + 531094241411127 T^{14} + 3912114458667384 T^{15} + 27454357879623819 T^{16} + 180024972628377861 T^{17} + 1083912034098368693 T^{18} + 5901478630434444564 T^{19} + 28406403780682357944 T^{20} + \)\(11\!\cdots\!69\)\( T^{21} + \)\(40\!\cdots\!01\)\( T^{22} + \)\(10\!\cdots\!24\)\( T^{23} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 + 18 T + 129 T^{2} + 603 T^{3} + 6450 T^{4} + 72072 T^{5} + 390761 T^{6} + 1660941 T^{7} + 20363265 T^{8} + 222972912 T^{9} + 1503169839 T^{10} + 9522875718 T^{11} + 77031115587 T^{12} + 561849667362 T^{13} + 5232534209559 T^{14} + 45793953693648 T^{15} + 246749033143665 T^{16} + 1187447080105359 T^{17} + 16482507506090801 T^{18} + 179362089813874968 T^{19} + 947056322547870450 T^{20} + 5223786478648928217 T^{21} + 65934061175782740729 T^{22} + \)\(54\!\cdots\!62\)\( T^{23} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 - 12 T + 225 T^{2} - 2097 T^{3} + 29736 T^{4} - 296256 T^{5} + 3286794 T^{6} - 29396253 T^{7} + 267946110 T^{8} - 2281198077 T^{9} + 19304673921 T^{10} - 149950550478 T^{11} + 1109055794397 T^{12} - 7627564781931 T^{13} + 54038307262599 T^{14} - 367792508966193 T^{15} + 2514274489316934 T^{16} - 16537334663589105 T^{17} + 119095255974175657 T^{18} - 975702745151757195 T^{19} + 8752189497312247254 T^{20} - 75536857698967752147 T^{21} + \)\(65\!\cdots\!39\)\( T^{22} - \)\(54\!\cdots\!69\)\( T^{23} + \)\(46\!\cdots\!77\)\( T^{24} - \)\(37\!\cdots\!82\)\( T^{25} + \)\(28\!\cdots\!41\)\( T^{26} - \)\(19\!\cdots\!03\)\( T^{27} + \)\(13\!\cdots\!10\)\( T^{28} - \)\(88\!\cdots\!27\)\( T^{29} + \)\(58\!\cdots\!14\)\( T^{30} - \)\(31\!\cdots\!24\)\( T^{31} + \)\(18\!\cdots\!96\)\( T^{32} - \)\(76\!\cdots\!03\)\( T^{33} + \)\(48\!\cdots\!25\)\( T^{34} - \)\(15\!\cdots\!28\)\( T^{35} + \)\(75\!\cdots\!21\)\( T^{36} \))(\( ( 1 - 110 T^{2} + 8619 T^{4} - 382910 T^{6} + 12117361 T^{8} )^{2} \))(\( 1 - 208 T^{2} + 25513 T^{4} - 2244112 T^{6} + 152378656 T^{8} - 7811753872 T^{10} + 309150231193 T^{12} - 8773550997328 T^{14} + 146830437604321 T^{16} \))(\( ( 1 - 110 T^{2} + 8619 T^{4} - 382910 T^{6} + 12117361 T^{8} )^{2} \))(\( 1 - 112 T^{2} + 4174 T^{4} - 157696 T^{6} + 14273875 T^{8} - 548939776 T^{10} + 50577864814 T^{12} - 4724219767792 T^{14} + 146830437604321 T^{16} \))(\( 1 - 112 T^{2} + 4174 T^{4} - 157696 T^{6} + 14273875 T^{8} - 548939776 T^{10} + 50577864814 T^{12} - 4724219767792 T^{14} + 146830437604321 T^{16} \))(\( ( 1 - 20 T^{2} - 3081 T^{4} - 69620 T^{6} + 12117361 T^{8} )^{2} \))(\( 1 - 208 T^{2} + 25513 T^{4} - 2244112 T^{6} + 152378656 T^{8} - 7811753872 T^{10} + 309150231193 T^{12} - 8773550997328 T^{14} + 146830437604321 T^{16} \))(\( ( 1 - 110 T^{2} + 8619 T^{4} - 382910 T^{6} + 12117361 T^{8} )^{2} \))(\( 1 - 236 T^{2} + 30147 T^{4} - 2544508 T^{6} + 140568845 T^{8} - 2939100384 T^{10} - 355005914738 T^{12} + 51029030408440 T^{14} - 3737518120779210 T^{16} + 177632054851779640 T^{18} - 4301734826015566418 T^{20} - \)\(12\!\cdots\!44\)\( T^{22} + \)\(20\!\cdots\!45\)\( T^{24} - \)\(13\!\cdots\!08\)\( T^{26} + \)\(53\!\cdots\!07\)\( T^{28} - \)\(14\!\cdots\!96\)\( T^{30} + \)\(21\!\cdots\!41\)\( T^{32} \))(\( 1 - 236 T^{2} + 30147 T^{4} - 2544508 T^{6} + 140568845 T^{8} - 2939100384 T^{10} - 355005914738 T^{12} + 51029030408440 T^{14} - 3737518120779210 T^{16} + 177632054851779640 T^{18} - 4301734826015566418 T^{20} - \)\(12\!\cdots\!44\)\( T^{22} + \)\(20\!\cdots\!45\)\( T^{24} - \)\(13\!\cdots\!08\)\( T^{26} + \)\(53\!\cdots\!07\)\( T^{28} - \)\(14\!\cdots\!96\)\( T^{30} + \)\(21\!\cdots\!41\)\( T^{32} \))
$61$ (\( 1 + 10 T + 61 T^{2} \))(\( 1 + 13 T + 61 T^{2} \))(\( 1 + 4 T + 61 T^{2} \))(\( 1 - 8 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 + 4 T + 61 T^{2} \))(\( 1 + 13 T + 61 T^{2} \))(\( 1 - 8 T + 61 T^{2} \))(\( 1 - T + 48 T^{2} - 61 T^{3} + 3721 T^{4} \))(\( 1 - 4 T + 18 T^{2} - 244 T^{3} + 3721 T^{4} \))(\( 1 - T + 48 T^{2} - 61 T^{3} + 3721 T^{4} \))(\( 1 - 4 T + 18 T^{2} - 244 T^{3} + 3721 T^{4} \))(\( ( 1 + 10 T + 61 T^{2} )^{2} \))(\( ( 1 + 7 T + 61 T^{2} )^{2} \))(\( ( 1 + 7 T + 61 T^{2} )^{2} \))(\( ( 1 + 10 T + 61 T^{2} )^{2} \))(\( ( 1 - 4 T + 120 T^{2} - 244 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 - 4 T + 120 T^{2} - 244 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 - 7 T + 120 T^{2} - 427 T^{3} + 3721 T^{4} )^{4} \))(\( 1 - 10 T + 39 T^{2} - 610 T^{3} + 3721 T^{4} \))(\( 1 - 10 T + 39 T^{2} - 610 T^{3} + 3721 T^{4} \))(\( 1 + 8 T + 3 T^{2} + 488 T^{3} + 3721 T^{4} \))(\( 1 + 2 T - 57 T^{2} + 122 T^{3} + 3721 T^{4} \))(\( 1 + 2 T - 57 T^{2} + 122 T^{3} + 3721 T^{4} \))(\( 1 - 4 T - 45 T^{2} - 244 T^{3} + 3721 T^{4} \))(\( 1 + 8 T + 3 T^{2} + 488 T^{3} + 3721 T^{4} \))(\( 1 + 2 T - 57 T^{2} + 122 T^{3} + 3721 T^{4} \))(\( 1 + 2 T - 57 T^{2} + 122 T^{3} + 3721 T^{4} \))(\( 1 - 4 T - 45 T^{2} - 244 T^{3} + 3721 T^{4} \))(\( 1 - 10 T + 39 T^{2} - 610 T^{3} + 3721 T^{4} \))(\( 1 - 10 T + 39 T^{2} - 610 T^{3} + 3721 T^{4} \))(\( 1 + 4 T - 2 T^{2} - 416 T^{3} - 4373 T^{4} - 25376 T^{5} - 7442 T^{6} + 907924 T^{7} + 13845841 T^{8} \))(\( 1 + 4 T - 2 T^{2} - 416 T^{3} - 4373 T^{4} - 25376 T^{5} - 7442 T^{6} + 907924 T^{7} + 13845841 T^{8} \))(\( ( 1 - 18 T + 176 T^{2} - 1098 T^{3} + 3721 T^{4} )^{4} \))(\( ( 1 + 6 T + 125 T^{2} + 366 T^{3} + 3721 T^{4} )^{4} \))(\( ( 1 - 12 T + 136 T^{2} - 228 T^{3} + 2376 T^{4} - 13908 T^{5} + 506056 T^{6} - 2723772 T^{7} + 13845841 T^{8} )^{4} \))(\( ( 1 + 18 T + 223 T^{2} + 1920 T^{3} + 16386 T^{4} + 117120 T^{5} + 829783 T^{6} + 4085658 T^{7} + 13845841 T^{8} )^{4} \))(\( ( 1 - 10 T + 39 T^{2} - 610 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 + 2 T - 57 T^{2} + 122 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 + 8 T + 3 T^{2} + 488 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 + 8 T + 3 T^{2} + 488 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 + 2 T - 57 T^{2} + 122 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 - 10 T + 39 T^{2} - 610 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 + 7 T - 71 T^{2} - 14 T^{3} + 7690 T^{4} - 854 T^{5} - 264191 T^{6} + 1588867 T^{7} + 13845841 T^{8} )^{2} \))(\( ( 1 - 4 T - 45 T^{2} - 244 T^{3} + 3721 T^{4} )^{4} \))(\( ( 1 + 7 T - 71 T^{2} - 14 T^{3} + 7690 T^{4} - 854 T^{5} - 264191 T^{6} + 1588867 T^{7} + 13845841 T^{8} )^{2} \))(\( 1 + 24 T + 192 T^{2} - 220 T^{3} - 13104 T^{4} - 76716 T^{5} - 269733 T^{6} - 4679676 T^{7} - 48759984 T^{8} - 49935820 T^{9} + 2658401472 T^{10} + 20270311224 T^{11} + 51520374361 T^{12} \))(\( 1 + 24 T + 336 T^{2} + 3868 T^{3} + 37101 T^{4} + 304170 T^{5} + 2195875 T^{6} + 13053042 T^{7} + 67998393 T^{8} + 426094342 T^{9} + 2877168741 T^{10} + 20838806634 T^{11} + 170758036210 T^{12} + 1271167204674 T^{13} + 10705944885261 T^{14} + 96715319841502 T^{15} + 941494937733513 T^{16} + 11024550989997642 T^{17} + 113132302049960875 T^{18} + 955928088432507570 T^{19} + 7112533019512122381 T^{20} + 45232957087082457388 T^{21} + \)\(23\!\cdots\!36\)\( T^{22} + \)\(10\!\cdots\!64\)\( T^{23} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( ( 1 - 6 T - 3 T^{2} + 935 T^{3} - 3699 T^{4} - 14661 T^{5} + 580122 T^{6} - 894321 T^{7} - 13763979 T^{8} + 212227235 T^{9} - 41537523 T^{10} - 5067577806 T^{11} + 51520374361 T^{12} )^{2} \))(\( 1 - 21 T + 138 T^{2} - 72 T^{3} - 11514 T^{4} + 217830 T^{5} - 1662084 T^{6} + 3621948 T^{7} + 37071435 T^{8} - 690176740 T^{9} + 6457580397 T^{10} - 31318194168 T^{11} + 102555313884 T^{12} - 400786031394 T^{13} - 1584548797914 T^{14} + 45513307060416 T^{15} - 481341966099966 T^{16} + 5162864405749641 T^{17} - 47207545773667410 T^{18} + 314934728750728101 T^{19} - 1791073455857973486 T^{20} + 10330655949880284096 T^{21} - 21939410712658375674 T^{22} - \)\(33\!\cdots\!94\)\( T^{23} + \)\(52\!\cdots\!24\)\( T^{24} - \)\(98\!\cdots\!28\)\( T^{25} + \)\(12\!\cdots\!57\)\( T^{26} - \)\(80\!\cdots\!40\)\( T^{27} + \)\(26\!\cdots\!35\)\( T^{28} + \)\(15\!\cdots\!28\)\( T^{29} - \)\(44\!\cdots\!64\)\( T^{30} + \)\(35\!\cdots\!30\)\( T^{31} - \)\(11\!\cdots\!74\)\( T^{32} - \)\(43\!\cdots\!72\)\( T^{33} + \)\(50\!\cdots\!18\)\( T^{34} - \)\(47\!\cdots\!41\)\( T^{35} + \)\(13\!\cdots\!81\)\( T^{36} \))(\( ( 1 - 12 T - 8 T^{2} - 360 T^{3} + 10599 T^{4} - 21960 T^{5} - 29768 T^{6} - 2723772 T^{7} + 13845841 T^{8} )^{2} \))(\( ( 1 + 18 T + 148 T^{2} + 972 T^{3} + 7491 T^{4} + 59292 T^{5} + 550708 T^{6} + 4085658 T^{7} + 13845841 T^{8} )^{2} \))(\( ( 1 - 61 T^{2} + 3721 T^{4} )^{4} \))(\( ( 1 + 12 T - 2 T^{2} + 288 T^{3} + 8811 T^{4} + 17568 T^{5} - 7442 T^{6} + 2723772 T^{7} + 13845841 T^{8} )^{2} \))(\( ( 1 + 12 T - 2 T^{2} + 288 T^{3} + 8811 T^{4} + 17568 T^{5} - 7442 T^{6} + 2723772 T^{7} + 13845841 T^{8} )^{2} \))(\( ( 1 - 6 T - 25 T^{2} - 366 T^{3} + 3721 T^{4} )^{4} \))(\( ( 1 + 18 T + 148 T^{2} + 972 T^{3} + 7491 T^{4} + 59292 T^{5} + 550708 T^{6} + 4085658 T^{7} + 13845841 T^{8} )^{2} \))(\( ( 1 - 12 T - 8 T^{2} - 360 T^{3} + 10599 T^{4} - 21960 T^{5} - 29768 T^{6} - 2723772 T^{7} + 13845841 T^{8} )^{2} \))(\( ( 1 - 18 T + 101 T^{2} - 174 T^{3} - 1217 T^{4} + 44616 T^{5} - 416272 T^{6} + 1752648 T^{7} - 8173166 T^{8} + 106911528 T^{9} - 1548948112 T^{10} + 10126984296 T^{11} - 16850388497 T^{12} - 146959756374 T^{13} + 5203557810461 T^{14} - 56569371048378 T^{15} + 191707312997281 T^{16} )^{2} \))(\( ( 1 - 18 T + 101 T^{2} - 174 T^{3} - 1217 T^{4} + 44616 T^{5} - 416272 T^{6} + 1752648 T^{7} - 8173166 T^{8} + 106911528 T^{9} - 1548948112 T^{10} + 10126984296 T^{11} - 16850388497 T^{12} - 146959756374 T^{13} + 5203557810461 T^{14} - 56569371048378 T^{15} + 191707312997281 T^{16} )^{2} \))
$67$ (\( 1 - 5 T + 67 T^{2} \))(\( 1 + 13 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 - 5 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 + 13 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( ( 1 + 7 T + 67 T^{2} )^{2} \))(\( ( 1 - 8 T + 67 T^{2} )^{2} \))(\( ( 1 + 7 T + 67 T^{2} )^{2} \))(\( ( 1 - 8 T + 67 T^{2} )^{2} \))(\( 1 + 122 T^{2} + 4489 T^{4} \))(\( 1 - 13 T^{2} + 4489 T^{4} \))(\( 1 - 13 T^{2} + 4489 T^{4} \))(\( 1 + 122 T^{2} + 4489 T^{4} \))(\( 1 - 158 T^{2} + 14043 T^{4} - 709262 T^{6} + 20151121 T^{8} \))(\( 1 - 158 T^{2} + 14043 T^{4} - 709262 T^{6} + 20151121 T^{8} \))(\( ( 1 - 92 T^{2} + 7446 T^{4} - 412988 T^{6} + 20151121 T^{8} )^{2} \))(\( 1 - 4 T - 51 T^{2} - 268 T^{3} + 4489 T^{4} \))(\( 1 - 4 T - 51 T^{2} - 268 T^{3} + 4489 T^{4} \))(\( 1 - 4 T - 51 T^{2} - 268 T^{3} + 4489 T^{4} \))(\( 1 - 4 T - 51 T^{2} - 268 T^{3} + 4489 T^{4} \))(\( 1 - 4 T - 51 T^{2} - 268 T^{3} + 4489 T^{4} \))(\( 1 - 4 T - 51 T^{2} - 268 T^{3} + 4489 T^{4} \))(\( 1 - 4 T - 51 T^{2} - 268 T^{3} + 4489 T^{4} \))(\( 1 - 4 T - 51 T^{2} - 268 T^{3} + 4489 T^{4} \))(\( 1 - 4 T - 51 T^{2} - 268 T^{3} + 4489 T^{4} \))(\( 1 - 4 T - 51 T^{2} - 268 T^{3} + 4489 T^{4} \))(\( 1 - 4 T - 51 T^{2} - 268 T^{3} + 4489 T^{4} \))(\( 1 - 4 T - 51 T^{2} - 268 T^{3} + 4489 T^{4} \))(\( ( 1 + 8 T - 3 T^{2} + 536 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 + 8 T - 3 T^{2} + 536 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 + 4 T + 8 T^{2} + 60 T^{3} - 2254 T^{4} + 4020 T^{5} + 35912 T^{6} + 1203052 T^{7} + 20151121 T^{8} )^{2} \))(\( ( 1 + 4 T + 8 T^{2} + 168 T^{3} + 2903 T^{4} + 11256 T^{5} + 35912 T^{6} + 1203052 T^{7} + 20151121 T^{8} )^{2} \))(\( ( 1 - 16 T + 128 T^{2} - 1088 T^{3} + 4538 T^{4} + 688 T^{5} - 164016 T^{7} + 2769619 T^{8} - 10989072 T^{9} + 206924944 T^{11} + 91445787098 T^{12} - 1468936116416 T^{13} + 11578672917632 T^{14} - 96971385685168 T^{15} + 406067677556641 T^{16} )^{2} \))(\( ( 1 - 4 T + 8 T^{2} - 92 T^{3} + 1988 T^{4} + 6052 T^{5} - 35880 T^{6} + 1161756 T^{7} - 20940506 T^{8} + 77837652 T^{9} - 161065320 T^{10} + 1820217676 T^{11} + 40060428548 T^{12} - 124211509844 T^{13} + 723667057352 T^{14} - 24242846421292 T^{15} + 406067677556641 T^{16} )^{2} \))(\( ( 1 - 109 T^{2} + 4489 T^{4} )( 1 - 13 T^{2} + 4489 T^{4} ) \))(\( 1 + 70 T^{2} + 411 T^{4} + 314230 T^{6} + 20151121 T^{8} \))(\( 1 + 118 T^{2} + 9435 T^{4} + 529702 T^{6} + 20151121 T^{8} \))(\( 1 + 118 T^{2} + 9435 T^{4} + 529702 T^{6} + 20151121 T^{8} \))(\( 1 + 70 T^{2} + 411 T^{4} + 314230 T^{6} + 20151121 T^{8} \))(\( ( 1 - 109 T^{2} + 4489 T^{4} )( 1 - 13 T^{2} + 4489 T^{4} ) \))(\( ( 1 - 12 T + 118 T^{2} - 840 T^{3} + 3627 T^{4} - 56280 T^{5} + 529702 T^{6} - 3609156 T^{7} + 20151121 T^{8} )^{2} \))(\( ( 1 + 58 T^{2} - 1125 T^{4} + 260362 T^{6} + 20151121 T^{8} )^{2} \))(\( ( 1 + 12 T + 118 T^{2} + 840 T^{3} + 3627 T^{4} + 56280 T^{5} + 529702 T^{6} + 3609156 T^{7} + 20151121 T^{8} )^{2} \))(\( 1 + 9 T - 144 T^{2} - 1240 T^{3} + 7911 T^{4} + 44037 T^{5} - 346227 T^{6} + 2950479 T^{7} + 35512479 T^{8} - 372946120 T^{9} - 2901761424 T^{10} + 12151125963 T^{11} + 90458382169 T^{12} \))(\( 1 - 9 T + 72 T^{2} + 184 T^{3} - 4437 T^{4} - 22230 T^{5} + 196606 T^{6} - 3501900 T^{7} - 3156867 T^{8} + 39443992 T^{9} + 297512910 T^{10} + 10080275247 T^{11} + 7988329549 T^{12} + 675378441549 T^{13} + 1335535452990 T^{14} + 11863293365896 T^{15} - 63614408897907 T^{16} - 4728003112203300 T^{17} + 17784660684718414 T^{18} - 134729618986330290 T^{19} - 1801722285318816117 T^{20} + 5006002328918270248 T^{21} + \)\(13\!\cdots\!28\)\( T^{22} - \)\(10\!\cdots\!47\)\( T^{23} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( 1 - 3 T - 6 T^{2} + 16 T^{3} + 6483 T^{4} - 7338 T^{5} + 368020 T^{6} - 173286 T^{7} + 36263727 T^{8} - 31381400 T^{9} + 965775102 T^{10} + 417196263 T^{11} + 286480819705 T^{12} + 27952149621 T^{13} + 4335364432878 T^{14} - 9438364008200 T^{15} + 730754750687967 T^{16} - 233957779291602 T^{17} + 33290493805835380 T^{18} - 44473501759860174 T^{19} + 2632536753599703603 T^{20} + 435304550340719152 T^{21} - 10937026827310568694 T^{22} - \)\(36\!\cdots\!49\)\( T^{23} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( 1 - 27 T + 261 T^{2} - 606 T^{3} + 1341 T^{4} - 213804 T^{5} + 2961804 T^{6} - 12135222 T^{7} + 24862194 T^{8} - 1438292137 T^{9} + 19462087593 T^{10} - 60184561464 T^{11} - 177385608360 T^{12} - 6138479650779 T^{13} + 106070882575959 T^{14} - 340018532794620 T^{15} - 1512189126243684 T^{16} - 21060093233128329 T^{17} + 453249183267249846 T^{18} - 1411026246619598043 T^{19} - 6788216987707897476 T^{20} - \)\(10\!\cdots\!60\)\( T^{21} + \)\(21\!\cdots\!39\)\( T^{22} - \)\(82\!\cdots\!53\)\( T^{23} - \)\(16\!\cdots\!40\)\( T^{24} - \)\(36\!\cdots\!72\)\( T^{25} + \)\(79\!\cdots\!13\)\( T^{26} - \)\(39\!\cdots\!39\)\( T^{27} + \)\(45\!\cdots\!06\)\( T^{28} - \)\(14\!\cdots\!26\)\( T^{29} + \)\(24\!\cdots\!44\)\( T^{30} - \)\(11\!\cdots\!48\)\( T^{31} + \)\(49\!\cdots\!89\)\( T^{32} - \)\(14\!\cdots\!58\)\( T^{33} + \)\(43\!\cdots\!41\)\( T^{34} - \)\(29\!\cdots\!29\)\( T^{35} + \)\(74\!\cdots\!09\)\( T^{36} \))(\( ( 1 + 4 T + 8 T^{2} - 504 T^{3} - 5497 T^{4} - 33768 T^{5} + 35912 T^{6} + 1203052 T^{7} + 20151121 T^{8} )^{2} \))(\( ( 1 - 20 T + 164 T^{2} - 564 T^{3} + 359 T^{4} - 37788 T^{5} + 736196 T^{6} - 6015260 T^{7} + 20151121 T^{8} )^{2} \))(\( ( 1 - 8 T + 32 T^{2} + 816 T^{3} - 7753 T^{4} + 54672 T^{5} + 143648 T^{6} - 2406104 T^{7} + 20151121 T^{8} )^{2} \))(\( ( 1 - 20 T + 164 T^{2} - 564 T^{3} + 359 T^{4} - 37788 T^{5} + 736196 T^{6} - 6015260 T^{7} + 20151121 T^{8} )^{2} \))(\( ( 1 + 16 T + 164 T^{2} + 1308 T^{3} + 10007 T^{4} + 87636 T^{5} + 736196 T^{6} + 4812208 T^{7} + 20151121 T^{8} )^{2} \))(\( ( 1 - 8 T + 32 T^{2} + 816 T^{3} - 7753 T^{4} + 54672 T^{5} + 143648 T^{6} - 2406104 T^{7} + 20151121 T^{8} )^{2} \))(\( ( 1 + 16 T + 164 T^{2} + 1308 T^{3} + 10007 T^{4} + 87636 T^{5} + 736196 T^{6} + 4812208 T^{7} + 20151121 T^{8} )^{2} \))(\( ( 1 + 4 T + 8 T^{2} - 504 T^{3} - 5497 T^{4} - 33768 T^{5} + 35912 T^{6} + 1203052 T^{7} + 20151121 T^{8} )^{2} \))(\( ( 1 - 28 T + 404 T^{2} - 4076 T^{3} + 31838 T^{4} - 158216 T^{5} - 144288 T^{6} + 12025464 T^{7} - 131521661 T^{8} + 805706088 T^{9} - 647708832 T^{10} - 47585518808 T^{11} + 641571390398 T^{12} - 5503109936132 T^{13} + 36545186396276 T^{14} - 169699924949044 T^{15} + 406067677556641 T^{16} )^{2} \))(\( ( 1 + 32 T + 500 T^{2} + 4996 T^{3} + 34190 T^{4} + 95116 T^{5} - 1552608 T^{6} - 30929892 T^{7} - 313891373 T^{8} - 2072302764 T^{9} - 6969657312 T^{10} + 28607373508 T^{11} + 688966826990 T^{12} + 6745225034572 T^{13} + 45229191084500 T^{14} + 193942771370336 T^{15} + 406067677556641 T^{16} )^{2} \))
$71$ (\( 1 - 6 T + 71 T^{2} \))(\( 1 - 6 T + 71 T^{2} \))(\( 1 - 6 T + 71 T^{2} \))(\( 1 - 6 T + 71 T^{2} \))(\( 1 + 6 T + 71 T^{2} \))(\( 1 + 6 T + 71 T^{2} \))(\( 1 + 6 T + 71 T^{2} \))(\( 1 + 6 T + 71 T^{2} \))(\( ( 1 + 6 T + 71 T^{2} )^{2} \))(\( ( 1 - 6 T + 71 T^{2} )^{2} \))(\( ( 1 - 6 T + 71 T^{2} )^{2} \))(\( ( 1 + 6 T + 71 T^{2} )^{2} \))(\( ( 1 - 12 T + 71 T^{2} )^{2} \))(\( ( 1 + 6 T + 71 T^{2} )^{2} \))(\( ( 1 - 6 T + 71 T^{2} )^{2} \))(\( ( 1 + 12 T + 71 T^{2} )^{2} \))(\( ( 1 + 136 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 + 136 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 + 94 T^{2} + 5041 T^{4} )^{4} \))(\( ( 1 + 71 T^{2} )^{2} \))(\( ( 1 + 71 T^{2} )^{2} \))(\( ( 1 + 6 T + 71 T^{2} )^{2} \))(\( ( 1 - 12 T + 71 T^{2} )^{2} \))(\( ( 1 - 12 T + 71 T^{2} )^{2} \))(\( ( 1 + 6 T + 71 T^{2} )^{2} \))(\( ( 1 - 6 T + 71 T^{2} )^{2} \))(\( ( 1 + 12 T + 71 T^{2} )^{2} \))(\( ( 1 + 12 T + 71 T^{2} )^{2} \))(\( ( 1 - 6 T + 71 T^{2} )^{2} \))(\( ( 1 + 71 T^{2} )^{2} \))(\( ( 1 + 71 T^{2} )^{2} \))(\( ( 1 + 6 T + 71 T^{2} )^{4} \))(\( ( 1 - 6 T + 71 T^{2} )^{4} \))(\( ( 1 - 160 T^{2} + 14754 T^{4} - 806560 T^{6} + 25411681 T^{8} )^{2} \))(\( ( 1 - 244 T^{2} + 24582 T^{4} - 1230004 T^{6} + 25411681 T^{8} )^{2} \))(\( ( 1 - 296 T^{2} + 51256 T^{4} - 5830568 T^{6} + 486270130 T^{8} - 29391893288 T^{10} + 1302501121336 T^{12} - 37917684040616 T^{14} + 645753531245761 T^{16} )^{2} \))(\( ( 1 - 428 T^{2} + 83464 T^{4} - 10009604 T^{6} + 835429198 T^{8} - 50458413764 T^{10} + 2120960542984 T^{12} - 54826921518188 T^{14} + 645753531245761 T^{16} )^{2} \))(\( ( 1 + 12 T + 71 T^{2} )^{4} \))(\( ( 1 + 12 T + 71 T^{2} )^{4} \))(\( ( 1 - 6 T + 71 T^{2} )^{4} \))(\( ( 1 + 6 T + 71 T^{2} )^{4} \))(\( ( 1 - 12 T + 71 T^{2} )^{4} \))(\( ( 1 - 12 T + 71 T^{2} )^{4} \))(\( ( 1 + 94 T^{2} + 5041 T^{4} )^{4} \))(\( ( 1 + 71 T^{2} )^{8} \))(\( ( 1 + 94 T^{2} + 5041 T^{4} )^{4} \))(\( 1 - 18 T + 147 T^{2} - 522 T^{3} - 5214 T^{4} + 125910 T^{5} - 1367597 T^{6} + 8939610 T^{7} - 26283774 T^{8} - 186829542 T^{9} + 3735517107 T^{10} - 32476128318 T^{11} + 128100283921 T^{12} \))(\( 1 - 18 T - 84 T^{2} + 2700 T^{3} + 7185 T^{4} - 212319 T^{5} - 1645816 T^{6} + 17873271 T^{7} + 197545752 T^{8} - 1232933967 T^{9} - 16417562580 T^{10} + 33653014083 T^{11} + 1260870245223 T^{12} + 2389363999893 T^{13} - 82760932965780 T^{14} - 441280629062937 T^{15} + 5019969632729112 T^{16} + 32247480136577121 T^{17} - 210829496881724536 T^{18} - 1931066816909418729 T^{19} + 4639739122000792785 T^{20} + \)\(12\!\cdots\!00\)\( T^{21} - \)\(27\!\cdots\!84\)\( T^{22} - \)\(41\!\cdots\!78\)\( T^{23} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( 1 + 12 T - 210 T^{2} - 864 T^{3} + 48405 T^{4} + 20559 T^{5} - 5126980 T^{6} + 19046709 T^{7} + 400549896 T^{8} - 1890556713 T^{9} - 16436954898 T^{10} + 80788053987 T^{11} + 843514546263 T^{12} + 5735951833077 T^{13} - 82858689640818 T^{14} - 676651043706543 T^{15} + 10178646181735176 T^{16} + 34364631417755859 T^{17} - 656767593657288580 T^{18} + 186986575336360569 T^{19} + 31257699679951061205 T^{20} - 39613104620739962784 T^{21} - \)\(68\!\cdots\!10\)\( T^{22} + \)\(27\!\cdots\!52\)\( T^{23} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( 1 - 36 T + 657 T^{2} - 9972 T^{3} + 132399 T^{4} - 1358811 T^{5} + 11072208 T^{6} - 66902094 T^{7} + 32318280 T^{8} + 5948222814 T^{9} - 100819681110 T^{10} + 1175863397607 T^{11} - 10626547956060 T^{12} + 71753794224255 T^{13} - 280591095655854 T^{14} - 1318099451501718 T^{15} + 42712437383383923 T^{16} - 555944833373323815 T^{17} + 5291137274106469021 T^{18} - 39472083169505990865 T^{19} + \)\(21\!\cdots\!43\)\( T^{20} - \)\(47\!\cdots\!98\)\( T^{21} - \)\(71\!\cdots\!74\)\( T^{22} + \)\(12\!\cdots\!05\)\( T^{23} - \)\(13\!\cdots\!60\)\( T^{24} + \)\(10\!\cdots\!37\)\( T^{25} - \)\(65\!\cdots\!10\)\( T^{26} + \)\(27\!\cdots\!34\)\( T^{27} + \)\(10\!\cdots\!80\)\( T^{28} - \)\(15\!\cdots\!74\)\( T^{29} + \)\(18\!\cdots\!28\)\( T^{30} - \)\(15\!\cdots\!21\)\( T^{31} + \)\(10\!\cdots\!19\)\( T^{32} - \)\(58\!\cdots\!72\)\( T^{33} + \)\(27\!\cdots\!97\)\( T^{34} - \)\(10\!\cdots\!76\)\( T^{35} + \)\(21\!\cdots\!61\)\( T^{36} \))(\( ( 1 - 88 T^{2} + 2418 T^{4} - 443608 T^{6} + 25411681 T^{8} )^{2} \))(\( ( 1 - 160 T^{2} + 14754 T^{4} - 806560 T^{6} + 25411681 T^{8} )^{2} \))(\( ( 1 - 110 T^{2} + 5041 T^{4} )^{4} \))(\( ( 1 - 28 T^{2} - 2010 T^{4} - 141148 T^{6} + 25411681 T^{8} )^{2} \))(\( ( 1 - 28 T^{2} - 2010 T^{4} - 141148 T^{6} + 25411681 T^{8} )^{2} \))(\( ( 1 + 58 T^{2} + 5041 T^{4} )^{4} \))(\( ( 1 - 160 T^{2} + 14754 T^{4} - 806560 T^{6} + 25411681 T^{8} )^{2} \))(\( ( 1 - 88 T^{2} + 2418 T^{4} - 443608 T^{6} + 25411681 T^{8} )^{2} \))(\( ( 1 - 428 T^{2} + 83464 T^{4} - 10009604 T^{6} + 835429198 T^{8} - 50458413764 T^{10} + 2120960542984 T^{12} - 54826921518188 T^{14} + 645753531245761 T^{16} )^{2} \))(\( ( 1 - 428 T^{2} + 83464 T^{4} - 10009604 T^{6} + 835429198 T^{8} - 50458413764 T^{10} + 2120960542984 T^{12} - 54826921518188 T^{14} + 645753531245761 T^{16} )^{2} \))
$73$ (\( 1 + 7 T + 73 T^{2} \))(\( 1 + 4 T + 73 T^{2} \))(\( 1 - 14 T + 73 T^{2} \))(\( 1 - 2 T + 73 T^{2} \))(\( 1 + 7 T + 73 T^{2} \))(\( 1 - 14 T + 73 T^{2} \))(\( 1 + 4 T + 73 T^{2} \))(\( 1 - 2 T + 73 T^{2} \))(\( 1 + 11 T + 102 T^{2} + 803 T^{3} + 5329 T^{4} \))(\( 1 + 8 T + 54 T^{2} + 584 T^{3} + 5329 T^{4} \))(\( 1 + 11 T + 102 T^{2} + 803 T^{3} + 5329 T^{4} \))(\( 1 + 8 T + 54 T^{2} + 584 T^{3} + 5329 T^{4} \))(\( 1 - 142 T^{2} + 5329 T^{4} \))(\( 1 - 130 T^{2} + 5329 T^{4} \))(\( 1 - 130 T^{2} + 5329 T^{4} \))(\( 1 - 142 T^{2} + 5329 T^{4} \))(\( 1 - 50 T^{2} + 1683 T^{4} - 266450 T^{6} + 28398241 T^{8} \))(\( 1 - 50 T^{2} + 1683 T^{4} - 266450 T^{6} + 28398241 T^{8} \))(\( ( 1 + 19 T^{2} - 6708 T^{4} + 101251 T^{6} + 28398241 T^{8} )^{2} \))(\( ( 1 - 2 T + 73 T^{2} )^{2} \))(\( ( 1 - 2 T + 73 T^{2} )^{2} \))(\( ( 1 - 2 T + 73 T^{2} )^{2} \))(\( ( 1 + 10 T + 73 T^{2} )^{2} \))(\( ( 1 + 10 T + 73 T^{2} )^{2} \))(\( ( 1 - 14 T + 73 T^{2} )^{2} \))(\( ( 1 - 2 T + 73 T^{2} )^{2} \))(\( ( 1 + 10 T + 73 T^{2} )^{2} \))(\( ( 1 + 10 T + 73 T^{2} )^{2} \))(\( ( 1 - 14 T + 73 T^{2} )^{2} \))(\( ( 1 - 2 T + 73 T^{2} )^{2} \))(\( ( 1 - 2 T + 73 T^{2} )^{2} \))(\( ( 1 + 8 T + 54 T^{2} + 584 T^{3} + 5329 T^{4} )^{2} \))(\( ( 1 + 8 T + 54 T^{2} + 584 T^{3} + 5329 T^{4} )^{2} \))(\( ( 1 - 8 T + 32 T^{2} - 584 T^{3} + 5329 T^{4} )^{4} \))(\( ( 1 + 8 T + 32 T^{2} + 264 T^{3} + 578 T^{4} + 19272 T^{5} + 170528 T^{6} + 3112136 T^{7} + 28398241 T^{8} )^{2} \))(\( ( 1 - 8 T + 32 T^{2} - 736 T^{3} + 2366 T^{4} + 45704 T^{5} - 170496 T^{6} + 3682392 T^{7} - 78261341 T^{8} + 268814616 T^{9} - 908573184 T^{10} + 17779632968 T^{11} + 67190238206 T^{12} - 1525780692448 T^{13} + 4842695241248 T^{14} - 88379188152776 T^{15} + 806460091894081 T^{16} )^{2} \))(\( ( 1 + 34 T + 578 T^{2} + 8456 T^{3} + 122657 T^{4} + 1477412 T^{5} + 15088230 T^{6} + 150414714 T^{7} + 1393645408 T^{8} + 10980274122 T^{9} + 80405177670 T^{10} + 574738384004 T^{11} + 3483243046337 T^{12} + 17529893390408 T^{13} + 87471182795042 T^{14} + 375611549649298 T^{15} + 806460091894081 T^{16} )^{2} \))(\( ( 1 - 142 T^{2} + 5329 T^{4} )^{2} \))(\( ( 1 - 130 T^{2} + 5329 T^{4} )^{2} \))(\( ( 1 - 142 T^{2} + 5329 T^{4} )^{2} \))(\( ( 1 - 142 T^{2} + 5329 T^{4} )^{2} \))(\( ( 1 - 130 T^{2} + 5329 T^{4} )^{2} \))(\( ( 1 - 142 T^{2} + 5329 T^{4} )^{2} \))(\( ( 1 + 19 T^{2} - 6708 T^{4} + 101251 T^{6} + 28398241 T^{8} )^{2} \))(\( ( 1 - 127 T^{2} + 5329 T^{4} )^{4} \))(\( ( 1 + 19 T^{2} - 6708 T^{4} + 101251 T^{6} + 28398241 T^{8} )^{2} \))(\( 1 - 18 T + 72 T^{2} + 2 T^{3} + 4266 T^{4} - 5454 T^{5} - 435993 T^{6} - 398142 T^{7} + 22733514 T^{8} + 778034 T^{9} + 2044673352 T^{10} - 37315288674 T^{11} + 151334226289 T^{12} \))(\( 1 - 12 T - 87 T^{2} - 74 T^{3} + 16914 T^{4} + 73869 T^{5} - 755198 T^{6} - 8027595 T^{7} - 39656619 T^{8} + 484821052 T^{9} + 3682188546 T^{10} - 3250173606 T^{11} - 278248837973 T^{12} - 237262673238 T^{13} + 19622382761634 T^{14} + 188603631185884 T^{15} - 1126178223607179 T^{16} - 16641779154608835 T^{17} - 114287305025000222 T^{18} + 816060281207176293 T^{19} + 13640465994296486034 T^{20} - 4356497416411825562 T^{21} - \)\(37\!\cdots\!63\)\( T^{22} - \)\(37\!\cdots\!24\)\( T^{23} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 - 18 T - 27 T^{2} + 2128 T^{3} - 7830 T^{4} - 22347 T^{5} - 603872 T^{6} + 2963277 T^{7} + 105067719 T^{8} - 712171910 T^{9} - 4969106910 T^{10} + 21773732472 T^{11} + 329705674651 T^{12} + 1589482470456 T^{13} - 26480370723390 T^{14} - 277046979912470 T^{15} + 2983738405482279 T^{16} + 6143085370890261 T^{17} - 91386501897591008 T^{18} - 246876214706260659 T^{19} - 6314582519530654230 T^{20} + \)\(12\!\cdots\!64\)\( T^{21} - \)\(11\!\cdots\!23\)\( T^{22} - \)\(56\!\cdots\!86\)\( T^{23} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 + 12 T - 228 T^{2} - 4182 T^{3} + 14097 T^{4} + 633795 T^{5} + 1739517 T^{6} - 50167014 T^{7} - 388541298 T^{8} + 1746921425 T^{9} + 31384463706 T^{10} + 4805336835 T^{11} - 1341115058529 T^{12} + 2477426197077 T^{13} + 68251975597413 T^{14} - 711730492402311 T^{15} - 9529479082270071 T^{16} + 32126443721687079 T^{17} + 952794764945337417 T^{18} + 2345230391683156767 T^{19} - 50782594029417208359 T^{20} - \)\(27\!\cdots\!87\)\( T^{21} + \)\(19\!\cdots\!33\)\( T^{22} + \)\(51\!\cdots\!61\)\( T^{23} - \)\(20\!\cdots\!81\)\( T^{24} + \)\(53\!\cdots\!95\)\( T^{25} + \)\(25\!\cdots\!86\)\( T^{26} + \)\(10\!\cdots\!25\)\( T^{27} - \)\(16\!\cdots\!02\)\( T^{28} - \)\(15\!\cdots\!78\)\( T^{29} + \)\(39\!\cdots\!57\)\( T^{30} + \)\(10\!\cdots\!35\)\( T^{31} + \)\(17\!\cdots\!73\)\( T^{32} - \)\(37\!\cdots\!74\)\( T^{33} - \)\(14\!\cdots\!08\)\( T^{34} + \)\(56\!\cdots\!36\)\( T^{35} + \)\(34\!\cdots\!69\)\( T^{36} \))(\( ( 1 + 8 T + 32 T^{2} + 552 T^{3} + 9506 T^{4} + 40296 T^{5} + 170528 T^{6} + 3112136 T^{7} + 28398241 T^{8} )^{2} \))(\( ( 1 - 8 T + 32 T^{2} - 584 T^{3} + 5329 T^{4} )^{4} \))(\( ( 1 - 2 T + 2 T^{2} - 146 T^{3} + 5329 T^{4} )^{4} \))(\( ( 1 - 17 T + 73 T^{2} )^{4}( 1 + 143 T^{2} + 5329 T^{4} )^{2} \))(\( ( 1 - 17 T + 73 T^{2} )^{4}( 1 + 143 T^{2} + 5329 T^{4} )^{2} \))(\( ( 1 - 6 T + 73 T^{2} )^{4}( 1 + 16 T + 73 T^{2} )^{4} \))(\( ( 1 - 8 T + 32 T^{2} - 584 T^{3} + 5329 T^{4} )^{4} \))(\( ( 1 + 8 T + 32 T^{2} + 552 T^{3} + 9506 T^{4} + 40296 T^{5} + 170528 T^{6} + 3112136 T^{7} + 28398241 T^{8} )^{2} \))(\( ( 1 + 34 T + 578 T^{2} + 8456 T^{3} + 122657 T^{4} + 1477412 T^{5} + 15088230 T^{6} + 150414714 T^{7} + 1393645408 T^{8} + 10980274122 T^{9} + 80405177670 T^{10} + 574738384004 T^{11} + 3483243046337 T^{12} + 17529893390408 T^{13} + 87471182795042 T^{14} + 375611549649298 T^{15} + 806460091894081 T^{16} )^{2} \))(\( ( 1 + 34 T + 578 T^{2} + 8456 T^{3} + 122657 T^{4} + 1477412 T^{5} + 15088230 T^{6} + 150414714 T^{7} + 1393645408 T^{8} + 10980274122 T^{9} + 80405177670 T^{10} + 574738384004 T^{11} + 3483243046337 T^{12} + 17529893390408 T^{13} + 87471182795042 T^{14} + 375611549649298 T^{15} + 806460091894081 T^{16} )^{2} \))
$79$ (\( 1 - 14 T + 79 T^{2} \))(\( 1 + 10 T + 79 T^{2} \))(\( 1 - 14 T + 79 T^{2} \))(\( 1 - 2 T + 79 T^{2} \))(\( 1 - 14 T + 79 T^{2} \))(\( 1 - 14 T + 79 T^{2} \))(\( 1 + 10 T + 79 T^{2} \))(\( 1 - 2 T + 79 T^{2} \))(\( ( 1 - 2 T + 79 T^{2} )^{2} \))(\( 1 + 8 T + 66 T^{2} + 632 T^{3} + 6241 T^{4} \))(\( ( 1 - 2 T + 79 T^{2} )^{2} \))(\( 1 + 8 T + 66 T^{2} + 632 T^{3} + 6241 T^{4} \))(\( ( 1 + 12 T + 79 T^{2} )^{2} \))(\( ( 1 - 12 T + 79 T^{2} )^{2} \))(\( ( 1 - 12 T + 79 T^{2} )^{2} \))(\( ( 1 + 12 T + 79 T^{2} )^{2} \))(\( ( 1 + 104 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 + 104 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 + 79 T^{2} )^{8} \))(\( 1 - T - 78 T^{2} - 79 T^{3} + 6241 T^{4} \))(\( 1 + 8 T - 15 T^{2} + 632 T^{3} + 6241 T^{4} \))(\( 1 + 2 T - 75 T^{2} + 158 T^{3} + 6241 T^{4} \))(\( ( 1 - 17 T + 79 T^{2} )( 1 + 4 T + 79 T^{2} ) \))(\( ( 1 - 17 T + 79 T^{2} )( 1 + 13 T + 79 T^{2} ) \))(\( 1 + 14 T + 117 T^{2} + 1106 T^{3} + 6241 T^{4} \))(\( 1 + 2 T - 75 T^{2} + 158 T^{3} + 6241 T^{4} \))(\( ( 1 - 17 T + 79 T^{2} )( 1 + 13 T + 79 T^{2} ) \))(\( ( 1 - 17 T + 79 T^{2} )( 1 + 4 T + 79 T^{2} ) \))(\( 1 + 14 T + 117 T^{2} + 1106 T^{3} + 6241 T^{4} \))(\( 1 - T - 78 T^{2} - 79 T^{3} + 6241 T^{4} \))(\( 1 + 8 T - 15 T^{2} + 632 T^{3} + 6241 T^{4} \))(\( 1 - 8 T - 2 T^{2} + 736 T^{3} - 6941 T^{4} + 58144 T^{5} - 12482 T^{6} - 3944312 T^{7} + 38950081 T^{8} \))(\( 1 - 8 T - 2 T^{2} + 736 T^{3} - 6941 T^{4} + 58144 T^{5} - 12482 T^{6} - 3944312 T^{7} + 38950081 T^{8} \))(\( ( 1 - 244 T^{2} + 26394 T^{4} - 1522804 T^{6} + 38950081 T^{8} )^{2} \))(\( ( 1 - 152 T^{2} + 6241 T^{4} )^{4} \))(\( ( 1 - 200 T^{2} + 32536 T^{4} - 3595400 T^{6} + 322876786 T^{8} - 22438891400 T^{10} + 1267279835416 T^{12} - 48617491104200 T^{14} + 1517108809906561 T^{16} )^{2} \))(\( ( 1 - 32 T^{2} - 4016 T^{4} - 145040 T^{6} + 26845822 T^{8} - 905194640 T^{10} - 156423525296 T^{12} - 7778798576672 T^{14} + 1517108809906561 T^{16} )^{2} \))(\( ( 1 - 12 T + 65 T^{2} - 948 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 - 79 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 - 9 T + 2 T^{2} - 711 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 - 9 T + 2 T^{2} - 711 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 - 79 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 - 12 T + 65 T^{2} - 948 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 - 79 T^{2} + 6241 T^{4} )^{4} \))(\( ( 1 - 79 T^{2} + 6241 T^{4} )^{4} \))(\( ( 1 - 79 T^{2} + 6241 T^{4} )^{4} \))(\( 1 - 12 T - 96 T^{2} + 2408 T^{3} - 12672 T^{4} - 117324 T^{5} + 2294385 T^{6} - 9268596 T^{7} - 79085952 T^{8} + 1187237912 T^{9} - 3739207776 T^{10} - 36924676788 T^{11} + 243087455521 T^{12} \))(\( 1 - 27 T + 279 T^{2} - 1769 T^{3} + 9351 T^{4} + 19629 T^{5} - 823931 T^{6} + 5726565 T^{7} - 72384219 T^{8} + 687496696 T^{9} + 4078806192 T^{10} - 112072023648 T^{11} + 1061196755905 T^{12} - 8853689868192 T^{13} + 25455829444272 T^{14} + 338962683499144 T^{15} - 2819371193171739 T^{16} + 17620963477539435 T^{17} - 200287290314873051 T^{18} + 376953529489315011 T^{19} + 14186484481436251911 T^{20} - \)\(21\!\cdots\!11\)\( T^{21} + \)\(26\!\cdots\!79\)\( T^{22} - \)\(20\!\cdots\!33\)\( T^{23} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 + 21 T + 321 T^{2} + 3151 T^{3} + 38823 T^{4} + 472755 T^{5} + 5501233 T^{6} + 50191263 T^{7} + 504962271 T^{8} + 5228138014 T^{9} + 54028992792 T^{10} + 437335970406 T^{11} + 3802537917241 T^{12} + 34549541662074 T^{13} + 337194944014872 T^{14} + 2577675938284546 T^{15} + 19668321357393951 T^{16} + 154441346988041937 T^{17} + 1337280732198157393 T^{18} + 9078743992751598045 T^{19} + 58898715327002417703 T^{20} + \)\(37\!\cdots\!69\)\( T^{21} + \)\(30\!\cdots\!21\)\( T^{22} + \)\(15\!\cdots\!59\)\( T^{23} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 + 75 T + 2715 T^{2} + 62481 T^{3} + 1007697 T^{4} + 11719527 T^{5} + 95700066 T^{6} + 493257738 T^{7} + 1521316536 T^{8} + 23107225397 T^{9} + 670597407045 T^{10} + 11017605044061 T^{11} + 118462199954283 T^{12} + 900756171459864 T^{13} + 5270552686375200 T^{14} + 35110009865878839 T^{15} + 425048858733665880 T^{16} + 5727148825984850952 T^{17} + 59516602908337118247 T^{18} + \)\(45\!\cdots\!08\)\( T^{19} + \)\(26\!\cdots\!80\)\( T^{20} + \)\(17\!\cdots\!21\)\( T^{21} + \)\(20\!\cdots\!00\)\( T^{22} + \)\(27\!\cdots\!36\)\( T^{23} + \)\(28\!\cdots\!43\)\( T^{24} + \)\(21\!\cdots\!99\)\( T^{25} + \)\(10\!\cdots\!45\)\( T^{26} + \)\(27\!\cdots\!43\)\( T^{27} + \)\(14\!\cdots\!36\)\( T^{28} + \)\(36\!\cdots\!02\)\( T^{29} + \)\(56\!\cdots\!06\)\( T^{30} + \)\(54\!\cdots\!53\)\( T^{31} + \)\(37\!\cdots\!57\)\( T^{32} + \)\(18\!\cdots\!19\)\( T^{33} + \)\(62\!\cdots\!15\)\( T^{34} + \)\(13\!\cdots\!25\)\( T^{35} + \)\(14\!\cdots\!61\)\( T^{36} \))(\( 1 + 286 T^{2} + 49081 T^{4} + 5786638 T^{6} + 520832308 T^{8} + 36114407758 T^{10} + 1911708925561 T^{12} + 69523012279006 T^{14} + 1517108809906561 T^{16} \))(\( ( 1 - 18 T + 284 T^{2} - 3168 T^{3} + 33267 T^{4} - 250272 T^{5} + 1772444 T^{6} - 8874702 T^{7} + 38950081 T^{8} )^{2} \))(\( ( 1 + 14 T^{2} - 6045 T^{4} + 87374 T^{6} + 38950081 T^{8} )^{2} \))(\( ( 1 - 6 T + 91 T^{2} - 474 T^{3} + 6241 T^{4} )^{4} \))(\( ( 1 + 6 T + 91 T^{2} + 474 T^{3} + 6241 T^{4} )^{4} \))(\( ( 1 + 122 T^{2} + 8643 T^{4} + 761402 T^{6} + 38950081 T^{8} )^{2} \))(\( ( 1 + 18 T + 284 T^{2} + 3168 T^{3} + 33267 T^{4} + 250272 T^{5} + 1772444 T^{6} + 8874702 T^{7} + 38950081 T^{8} )^{2} \))(\( 1 + 286 T^{2} + 49081 T^{4} + 5786638 T^{6} + 520832308 T^{8} + 36114407758 T^{10} + 1911708925561 T^{12} + 69523012279006 T^{14} + 1517108809906561 T^{16} \))(\( ( 1 + 42 T + 898 T^{2} + 13020 T^{3} + 146158 T^{4} + 1434510 T^{5} + 13550440 T^{6} + 127071762 T^{7} + 1157279179 T^{8} + 10038669198 T^{9} + 84568296040 T^{10} + 707269375890 T^{11} + 5692865938798 T^{12} + 40063274314980 T^{13} + 218292535057858 T^{14} + 806564177418678 T^{15} + 1517108809906561 T^{16} )^{2} \))(\( ( 1 - 42 T + 898 T^{2} - 13020 T^{3} + 146158 T^{4} - 1434510 T^{5} + 13550440 T^{6} - 127071762 T^{7} + 1157279179 T^{8} - 10038669198 T^{9} + 84568296040 T^{10} - 707269375890 T^{11} + 5692865938798 T^{12} - 40063274314980 T^{13} + 218292535057858 T^{14} - 806564177418678 T^{15} + 1517108809906561 T^{16} )^{2} \))
$83$ (\( 1 - 12 T + 83 T^{2} \))(\( 1 - 9 T + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 + 9 T + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 - 9 T + 178 T^{2} - 747 T^{3} + 6889 T^{4} \))(\( 1 - 24 T + 298 T^{2} - 1992 T^{3} + 6889 T^{4} \))(\( 1 + 9 T + 178 T^{2} + 747 T^{3} + 6889 T^{4} \))(\( 1 + 24 T + 298 T^{2} + 1992 T^{3} + 6889 T^{4} \))(\( 1 - 102 T^{2} + 6889 T^{4} \))(\( 1 - 45 T^{2} + 6889 T^{4} \))(\( 1 - 45 T^{2} + 6889 T^{4} \))(\( 1 - 102 T^{2} + 6889 T^{4} \))(\( ( 1 - 150 T^{2} + 6889 T^{4} )^{2} \))(\( ( 1 - 150 T^{2} + 6889 T^{4} )^{2} \))(\( ( 1 - 150 T^{2} + 6889 T^{4} )^{4} \))(\( 1 + 18 T + 241 T^{2} + 1494 T^{3} + 6889 T^{4} \))(\( 1 - 12 T + 61 T^{2} - 996 T^{3} + 6889 T^{4} \))(\( 1 - 6 T - 47 T^{2} - 498 T^{3} + 6889 T^{4} \))(\( 1 + 6 T - 47 T^{2} + 498 T^{3} + 6889 T^{4} \))(\( 1 - 12 T + 61 T^{2} - 996 T^{3} + 6889 T^{4} \))(\( 1 + 6 T - 47 T^{2} + 498 T^{3} + 6889 T^{4} \))(\( 1 + 6 T - 47 T^{2} + 498 T^{3} + 6889 T^{4} \))(\( 1 + 12 T + 61 T^{2} + 996 T^{3} + 6889 T^{4} \))(\( 1 - 6 T - 47 T^{2} - 498 T^{3} + 6889 T^{4} \))(\( 1 - 6 T - 47 T^{2} - 498 T^{3} + 6889 T^{4} \))(\( 1 - 18 T + 241 T^{2} - 1494 T^{3} + 6889 T^{4} \))(\( 1 + 12 T + 61 T^{2} + 996 T^{3} + 6889 T^{4} \))(\( 1 - 24 T + 278 T^{2} - 3168 T^{3} + 34107 T^{4} - 262944 T^{5} + 1915142 T^{6} - 13722888 T^{7} + 47458321 T^{8} \))(\( 1 + 24 T + 278 T^{2} + 3168 T^{3} + 34107 T^{4} + 262944 T^{5} + 1915142 T^{6} + 13722888 T^{7} + 47458321 T^{8} \))(\( 1 - 3332 T^{4} - 20020890 T^{8} - 158131125572 T^{12} + 2252292232139041 T^{16} \))(\( 1 + 18478 T^{4} + 160575699 T^{8} + 876934855438 T^{12} + 2252292232139041 T^{16} \))(\( 1 + 11336 T^{4} + 28843996 T^{8} - 194397553288 T^{12} - 1619209462279418 T^{16} - 9225781485556509448 T^{20} + \)\(64\!\cdots\!36\)\( T^{24} + \)\(12\!\cdots\!96\)\( T^{28} + \)\(50\!\cdots\!81\)\( T^{32} \))(\( 1 + 22304 T^{4} + 258695740 T^{8} + 2405416001504 T^{12} + 18742049732768710 T^{16} + \)\(11\!\cdots\!84\)\( T^{20} + \)\(58\!\cdots\!40\)\( T^{24} + \)\(23\!\cdots\!44\)\( T^{28} + \)\(50\!\cdots\!81\)\( T^{32} \))(\( 1 + 102 T^{2} + 3515 T^{4} + 702678 T^{6} + 47458321 T^{8} \))(\( 1 + 150 T^{2} + 15611 T^{4} + 1033350 T^{6} + 47458321 T^{8} \))(\( 1 + 150 T^{2} + 15611 T^{4} + 1033350 T^{6} + 47458321 T^{8} \))(\( 1 + 150 T^{2} + 15611 T^{4} + 1033350 T^{6} + 47458321 T^{8} \))(\( 1 + 150 T^{2} + 15611 T^{4} + 1033350 T^{6} + 47458321 T^{8} \))(\( 1 + 102 T^{2} + 3515 T^{4} + 702678 T^{6} + 47458321 T^{8} \))(\( ( 1 + 150 T^{2} + 15611 T^{4} + 1033350 T^{6} + 47458321 T^{8} )^{2} \))(\( ( 1 + 141 T^{2} + 12992 T^{4} + 971349 T^{6} + 47458321 T^{8} )^{2} \))(\( ( 1 + 150 T^{2} + 15611 T^{4} + 1033350 T^{6} + 47458321 T^{8} )^{2} \))(\( 1 + 24 T + 324 T^{2} + 3960 T^{3} + 37980 T^{4} + 341988 T^{5} + 3325573 T^{6} + 28385004 T^{7} + 261644220 T^{8} + 2264276520 T^{9} + 15376496004 T^{10} + 94536975432 T^{11} + 326940373369 T^{12} \))(\( 1 - 9 T + 27 T^{2} + 864 T^{3} - 15390 T^{4} + 46134 T^{5} + 321554 T^{6} - 6816150 T^{7} + 42059763 T^{8} + 92955033 T^{9} - 1384470441 T^{10} + 6225871896 T^{11} - 84913592163 T^{12} + 516747367368 T^{13} - 9537616868049 T^{14} + 53150479453971 T^{15} + 1996085733637923 T^{16} - 26849091878784450 T^{17} + 105128984818295426 T^{18} + 1251894576355452018 T^{19} - 34662777452619840990 T^{20} + \)\(16\!\cdots\!92\)\( T^{21} + \)\(41\!\cdots\!23\)\( T^{22} - \)\(11\!\cdots\!03\)\( T^{23} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 - 81 T + 3045 T^{2} - 70344 T^{3} + 1118994 T^{4} - 13205808 T^{5} + 127007432 T^{6} - 1169712576 T^{7} + 12067787799 T^{8} - 135415939509 T^{9} + 1463732253837 T^{10} - 14572034936388 T^{11} + 136016123632029 T^{12} - 1209478899720204 T^{13} + 10083651496683093 T^{14} - 77429073804032583 T^{15} + 572716947124825479 T^{16} - 4607545377492226368 T^{17} + 41523857238717878408 T^{18} - \)\(35\!\cdots\!16\)\( T^{19} + \)\(25\!\cdots\!54\)\( T^{20} - \)\(13\!\cdots\!32\)\( T^{21} + \)\(47\!\cdots\!05\)\( T^{22} - \)\(10\!\cdots\!27\)\( T^{23} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 + 33 T + 450 T^{2} + 4014 T^{3} + 32535 T^{4} + 92949 T^{5} - 2572584 T^{6} - 39015174 T^{7} - 371414745 T^{8} - 3825722808 T^{9} - 28081177047 T^{10} - 127331293890 T^{11} - 1044548006394 T^{12} - 8848172691444 T^{13} - 1490328055665 T^{14} + 709808748422868 T^{15} + 13698310744517535 T^{16} + 210561456454033740 T^{17} + 2310934674083403220 T^{18} + 17476600885684800420 T^{19} + 94367662718981298615 T^{20} + \)\(40\!\cdots\!16\)\( T^{21} - 70728467261055438465 T^{22} - \)\(34\!\cdots\!92\)\( T^{23} - \)\(34\!\cdots\!86\)\( T^{24} - \)\(34\!\cdots\!30\)\( T^{25} - \)\(63\!\cdots\!27\)\( T^{26} - \)\(71\!\cdots\!24\)\( T^{27} - \)\(57\!\cdots\!05\)\( T^{28} - \)\(50\!\cdots\!58\)\( T^{29} - \)\(27\!\cdots\!24\)\( T^{30} + \)\(82\!\cdots\!87\)\( T^{31} + \)\(23\!\cdots\!15\)\( T^{32} + \)\(24\!\cdots\!98\)\( T^{33} + \)\(22\!\cdots\!50\)\( T^{34} + \)\(13\!\cdots\!59\)\( T^{35} + \)\(34\!\cdots\!09\)\( T^{36} \))(\( 1 + 12 T + 72 T^{2} + 288 T^{3} + 10930 T^{4} + 38940 T^{5} - 278208 T^{6} - 269436 T^{7} + 74577699 T^{8} - 22363188 T^{9} - 1916574912 T^{10} + 22265385780 T^{11} + 518719448530 T^{12} + 1134443705184 T^{13} + 23539706882568 T^{14} + 325632611875524 T^{15} + 2252292232139041 T^{16} \))(\( 1 - 324 T^{2} + 54154 T^{4} - 6208488 T^{6} + 560783811 T^{8} - 42770273832 T^{10} + 2570057915434 T^{12} - 105928680971556 T^{14} + 2252292232139041 T^{16} \))(\( 1 + 13294 T^{4} + 129272115 T^{8} + 630910919374 T^{12} + 2252292232139041 T^{16} \))(\( 1 - 432 T^{2} + 90169 T^{4} - 12079152 T^{6} + 1162910112 T^{8} - 83213278128 T^{10} + 4279269346249 T^{12} - 141238241295408 T^{14} + 2252292232139041 T^{16} \))(\( 1 + 432 T^{2} + 90169 T^{4} + 12079152 T^{6} + 1162910112 T^{8} + 83213278128 T^{10} + 4279269346249 T^{12} + 141238241295408 T^{14} + 2252292232139041 T^{16} \))(\( 1 + 13294 T^{4} + 129272115 T^{8} + 630910919374 T^{12} + 2252292232139041 T^{16} \))(\( 1 + 324 T^{2} + 54154 T^{4} + 6208488 T^{6} + 560783811 T^{8} + 42770273832 T^{10} + 2570057915434 T^{12} + 105928680971556 T^{14} + 2252292232139041 T^{16} \))(\( 1 - 12 T + 72 T^{2} - 288 T^{3} + 10930 T^{4} - 38940 T^{5} - 278208 T^{6} + 269436 T^{7} + 74577699 T^{8} + 22363188 T^{9} - 1916574912 T^{10} - 22265385780 T^{11} + 518719448530 T^{12} - 1134443705184 T^{13} + 23539706882568 T^{14} - 325632611875524 T^{15} + 2252292232139041 T^{16} \))(\( 1 + 60 T^{2} - 9352 T^{4} - 633120 T^{6} + 37669186 T^{8} + 4275626268 T^{10} + 329681379776 T^{12} - 6429065259204 T^{14} - 3453513109717709 T^{16} - 44289830570656356 T^{18} + 15646124749132316096 T^{20} + \)\(13\!\cdots\!92\)\( T^{22} + \)\(84\!\cdots\!26\)\( T^{24} - \)\(98\!\cdots\!80\)\( T^{26} - \)\(99\!\cdots\!72\)\( T^{28} + \)\(44\!\cdots\!40\)\( T^{30} + \)\(50\!\cdots\!81\)\( T^{32} \))(\( 1 - 60 T^{2} - 9352 T^{4} + 633120 T^{6} + 37669186 T^{8} - 4275626268 T^{10} + 329681379776 T^{12} + 6429065259204 T^{14} - 3453513109717709 T^{16} + 44289830570656356 T^{18} + 15646124749132316096 T^{20} - \)\(13\!\cdots\!92\)\( T^{22} + \)\(84\!\cdots\!26\)\( T^{24} + \)\(98\!\cdots\!80\)\( T^{26} - \)\(99\!\cdots\!72\)\( T^{28} - \)\(44\!\cdots\!40\)\( T^{30} + \)\(50\!\cdots\!81\)\( T^{32} \))
$89$ (\( 1 - 6 T + 89 T^{2} \))(\( 1 + 9 T + 89 T^{2} \))(\( 1 - 18 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 + 18 T + 89 T^{2} \))(\( 1 - 9 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 - 15 T + 160 T^{2} - 1335 T^{3} + 7921 T^{4} \))(\( ( 1 + 12 T + 89 T^{2} )^{2} \))(\( 1 + 15 T + 160 T^{2} + 1335 T^{3} + 7921 T^{4} \))(\( ( 1 - 12 T + 89 T^{2} )^{2} \))(\( ( 1 + 14 T + 89 T^{2} )^{2} \))(\( ( 1 + T + 89 T^{2} )^{2} \))(\( ( 1 - T + 89 T^{2} )^{2} \))(\( ( 1 - 14 T + 89 T^{2} )^{2} \))(\( ( 1 - 16 T + 218 T^{2} - 1424 T^{3} + 7921 T^{4} )^{2} \))(\( ( 1 + 16 T + 218 T^{2} + 1424 T^{3} + 7921 T^{4} )^{2} \))(\( ( 1 + 345 T^{2} + 45584 T^{4} + 2732745 T^{6} + 62742241 T^{8} )^{2} \))(\( ( 1 + 89 T^{2} )^{2} \))(\( ( 1 + 18 T + 89 T^{2} )^{2} \))(\( ( 1 + 6 T + 89 T^{2} )^{2} \))(\( ( 1 + 12 T + 89 T^{2} )^{2} \))(\( ( 1 + 12 T + 89 T^{2} )^{2} \))(\( ( 1 + 18 T + 89 T^{2} )^{2} \))(\( ( 1 - 6 T + 89 T^{2} )^{2} \))(\( ( 1 - 12 T + 89 T^{2} )^{2} \))(\( ( 1 - 12 T + 89 T^{2} )^{2} \))(\( ( 1 - 18 T + 89 T^{2} )^{2} \))(\( ( 1 + 89 T^{2} )^{2} \))(\( ( 1 - 18 T + 89 T^{2} )^{2} \))(\( ( 1 - 12 T + 89 T^{2} )^{4} \))(\( ( 1 + 12 T + 89 T^{2} )^{4} \))(\( ( 1 + 184 T^{2} + 17394 T^{4} + 1457464 T^{6} + 62742241 T^{8} )^{2} \))(\( ( 1 + 286 T^{2} + 35427 T^{4} + 2265406 T^{6} + 62742241 T^{8} )^{2} \))(\( ( 1 + 328 T^{2} + 42642 T^{4} + 2598088 T^{6} + 62742241 T^{8} )^{4} \))(\( ( 1 + 536 T^{2} + 138145 T^{4} + 22009856 T^{6} + 2361369520 T^{8} + 174340069376 T^{10} + 8667526882945 T^{12} + 266381971955096 T^{14} + 3936588805702081 T^{16} )^{2} \))(\( ( 1 - 14 T + 89 T^{2} )^{4} \))(\( ( 1 + 10 T + 89 T^{2} )^{4} \))(\( ( 1 + 14 T + 89 T^{2} )^{4} \))(\( ( 1 - 14 T + 89 T^{2} )^{4} \))(\( ( 1 - 10 T + 89 T^{2} )^{4} \))(\( ( 1 + 14 T + 89 T^{2} )^{4} \))(\( ( 1 + 345 T^{2} + 45584 T^{4} + 2732745 T^{6} + 62742241 T^{8} )^{2} \))(\( ( 1 + 102 T^{2} + 7921 T^{4} )^{4} \))(\( ( 1 + 345 T^{2} + 45584 T^{4} + 2732745 T^{6} + 62742241 T^{8} )^{2} \))(\( 1 - 21 T + 75 T^{2} - 324 T^{3} + 24081 T^{4} - 145479 T^{5} - 455546 T^{6} - 12947631 T^{7} + 190745601 T^{8} - 228409956 T^{9} + 4705668075 T^{10} - 117265248429 T^{11} + 496981290961 T^{12} \))(\( 1 + 15 T - 282 T^{2} - 5481 T^{3} + 49800 T^{4} + 1197087 T^{5} - 4201339 T^{6} - 160592103 T^{7} + 85392639 T^{8} + 14065179498 T^{9} + 36761581098 T^{10} - 511892407476 T^{11} - 4813553600265 T^{12} - 45558424265364 T^{13} + 291188483877258 T^{14} + 9915515525525562 T^{15} + 5357725535763999 T^{16} - 896755850191931247 T^{17} - 2087986879984796779 T^{18} + 52948755996084124023 T^{19} + \)\(19\!\cdots\!00\)\( T^{20} - \)\(19\!\cdots\!29\)\( T^{21} - \)\(87\!\cdots\!82\)\( T^{22} + \)\(41\!\cdots\!35\)\( T^{23} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 + 3 T - 210 T^{2} + 747 T^{3} + 18516 T^{4} - 181329 T^{5} + 146309 T^{6} + 6533289 T^{7} - 82964565 T^{8} + 1359891666 T^{9} - 9170823438 T^{10} - 94864383396 T^{11} + 2026951141047 T^{12} - 8442930122244 T^{13} - 72642092452398 T^{14} + 958681467888354 T^{15} - 5205382731690165 T^{16} + 36482274173497761 T^{17} + 72712835699212949 T^{18} - 8020423725271378041 T^{19} + 72889878326379731796 T^{20} + \)\(26\!\cdots\!23\)\( T^{21} - \)\(65\!\cdots\!10\)\( T^{22} + \)\(83\!\cdots\!67\)\( T^{23} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 - 33 T + 198 T^{2} + 4401 T^{3} - 51426 T^{4} - 138741 T^{5} + 1426062 T^{6} + 17694570 T^{7} + 392669019 T^{8} - 6348101085 T^{9} - 16841392290 T^{10} + 287175152991 T^{11} + 2396118413049 T^{12} + 11067929257530 T^{13} - 579339821104245 T^{14} + 1409949584789103 T^{15} + 31862530368300303 T^{16} - 214099611238369986 T^{17} + 656262921922708831 T^{18} - 19054865400214928754 T^{19} + \)\(25\!\cdots\!63\)\( T^{20} + \)\(99\!\cdots\!07\)\( T^{21} - \)\(36\!\cdots\!45\)\( T^{22} + \)\(61\!\cdots\!70\)\( T^{23} + \)\(11\!\cdots\!89\)\( T^{24} + \)\(12\!\cdots\!39\)\( T^{25} - \)\(66\!\cdots\!90\)\( T^{26} - \)\(22\!\cdots\!65\)\( T^{27} + \)\(12\!\cdots\!19\)\( T^{28} + \)\(49\!\cdots\!30\)\( T^{29} + \)\(35\!\cdots\!02\)\( T^{30} - \)\(30\!\cdots\!29\)\( T^{31} - \)\(10\!\cdots\!66\)\( T^{32} + \)\(76\!\cdots\!49\)\( T^{33} + \)\(30\!\cdots\!78\)\( T^{34} - \)\(45\!\cdots\!57\)\( T^{35} + \)\(12\!\cdots\!81\)\( T^{36} \))(\( ( 1 + 40 T^{2} - 5358 T^{4} + 316840 T^{6} + 62742241 T^{8} )^{2} \))(\( ( 1 + 184 T^{2} + 17394 T^{4} + 1457464 T^{6} + 62742241 T^{8} )^{2} \))(\( ( 1 + 80 T^{2} + 7921 T^{4} )^{4} \))(\( ( 1 + 244 T^{2} + 30294 T^{4} + 1932724 T^{6} + 62742241 T^{8} )^{2} \))(\( ( 1 + 244 T^{2} + 30294 T^{4} + 1932724 T^{6} + 62742241 T^{8} )^{2} \))(\( ( 1 + 170 T^{2} + 7921 T^{4} )^{4} \))(\( ( 1 + 184 T^{2} + 17394 T^{4} + 1457464 T^{6} + 62742241 T^{8} )^{2} \))(\( ( 1 + 40 T^{2} - 5358 T^{4} + 316840 T^{6} + 62742241 T^{8} )^{2} \))(\( ( 1 + 536 T^{2} + 138145 T^{4} + 22009856 T^{6} + 2361369520 T^{8} + 174340069376 T^{10} + 8667526882945 T^{12} + 266381971955096 T^{14} + 3936588805702081 T^{16} )^{2} \))(\( ( 1 + 536 T^{2} + 138145 T^{4} + 22009856 T^{6} + 2361369520 T^{8} + 174340069376 T^{10} + 8667526882945 T^{12} + 266381971955096 T^{14} + 3936588805702081 T^{16} )^{2} \))
$97$ (\( 1 - 11 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 + 16 T + 97 T^{2} \))(\( 1 + 16 T + 97 T^{2} \))(\( 1 - 11 T + 97 T^{2} \))(\( 1 + 16 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 + 16 T + 97 T^{2} \))(\( 1 + 11 T + 216 T^{2} + 1067 T^{3} + 9409 T^{4} \))(\( 1 - 16 T + 210 T^{2} - 1552 T^{3} + 9409 T^{4} \))(\( 1 + 11 T + 216 T^{2} + 1067 T^{3} + 9409 T^{4} \))(\( 1 - 16 T + 210 T^{2} - 1552 T^{3} + 9409 T^{4} \))(\( ( 1 - 18 T + 97 T^{2} )( 1 + 18 T + 97 T^{2} ) \))(\( ( 1 - 18 T + 97 T^{2} )( 1 + 18 T + 97 T^{2} ) \))(\( ( 1 - 18 T + 97 T^{2} )( 1 + 18 T + 97 T^{2} ) \))(\( ( 1 - 18 T + 97 T^{2} )( 1 + 18 T + 97 T^{2} ) \))(\( ( 1 - 25 T^{2} + 9409 T^{4} )^{2} \))(\( ( 1 - 25 T^{2} + 9409 T^{4} )^{2} \))(\( ( 1 - 20 T^{2} - 13914 T^{4} - 188180 T^{6} + 88529281 T^{8} )^{2} \))(\( ( 1 - 5 T + 97 T^{2} )( 1 + 19 T + 97 T^{2} ) \))(\( 1 + 2 T - 93 T^{2} + 194 T^{3} + 9409 T^{4} \))(\( 1 - 16 T + 159 T^{2} - 1552 T^{3} + 9409 T^{4} \))(\( 1 + 2 T - 93 T^{2} + 194 T^{3} + 9409 T^{4} \))(\( 1 + 2 T - 93 T^{2} + 194 T^{3} + 9409 T^{4} \))(\( 1 - 16 T + 159 T^{2} - 1552 T^{3} + 9409 T^{4} \))(\( 1 - 16 T + 159 T^{2} - 1552 T^{3} + 9409 T^{4} \))(\( 1 + 2 T - 93 T^{2} + 194 T^{3} + 9409 T^{4} \))(\( 1 + 2 T - 93 T^{2} + 194 T^{3} + 9409 T^{4} \))(\( 1 - 16 T + 159 T^{2} - 1552 T^{3} + 9409 T^{4} \))(\( ( 1 - 5 T + 97 T^{2} )( 1 + 19 T + 97 T^{2} ) \))(\( 1 + 2 T - 93 T^{2} + 194 T^{3} + 9409 T^{4} \))(\( 1 + 16 T + 46 T^{2} + 256 T^{3} + 9859 T^{4} + 24832 T^{5} + 432814 T^{6} + 14602768 T^{7} + 88529281 T^{8} \))(\( 1 + 16 T + 46 T^{2} + 256 T^{3} + 9859 T^{4} + 24832 T^{5} + 432814 T^{6} + 14602768 T^{7} + 88529281 T^{8} \))(\( ( 1 + 12 T + 72 T^{2} + 1164 T^{3} + 9409 T^{4} )^{4} \))(\( ( 1 + 12 T + 72 T^{2} + 804 T^{3} + 8078 T^{4} + 77988 T^{5} + 677448 T^{6} + 10952076 T^{7} + 88529281 T^{8} )^{2} \))(\( ( 1 - 48 T + 1152 T^{2} - 19920 T^{3} + 291502 T^{4} - 3777408 T^{5} + 43908480 T^{6} - 468438624 T^{7} + 4717194963 T^{8} - 45438546528 T^{9} + 413134888320 T^{10} - 3447538291584 T^{11} + 25806462470062 T^{12} - 171059817919440 T^{13} + 959583749678208 T^{14} - 3878317654949424 T^{15} + 7837433594376961 T^{16} )^{2} \))(\( ( 1 - 12 T + 72 T^{2} - 1236 T^{3} + 35440 T^{4} - 291276 T^{5} + 1707480 T^{6} - 28714644 T^{7} + 482739294 T^{8} - 2785320468 T^{9} + 16065679320 T^{10} - 265839740748 T^{11} + 3137477718640 T^{12} - 10613952557652 T^{13} + 59973984354888 T^{14} - 969579413737356 T^{15} + 7837433594376961 T^{16} )^{2} \))(\( ( 1 - 18 T + 227 T^{2} - 1746 T^{3} + 9409 T^{4} )( 1 + 18 T + 227 T^{2} + 1746 T^{3} + 9409 T^{4} ) \))(\( ( 1 - 18 T + 227 T^{2} - 1746 T^{3} + 9409 T^{4} )( 1 + 18 T + 227 T^{2} + 1746 T^{3} + 9409 T^{4} ) \))(\( 1 + 94 T^{2} - 573 T^{4} + 884446 T^{6} + 88529281 T^{8} \))(\( 1 + 94 T^{2} - 573 T^{4} + 884446 T^{6} + 88529281 T^{8} \))(\( ( 1 - 18 T + 227 T^{2} - 1746 T^{3} + 9409 T^{4} )( 1 + 18 T + 227 T^{2} + 1746 T^{3} + 9409 T^{4} ) \))(\( ( 1 - 18 T + 227 T^{2} - 1746 T^{3} + 9409 T^{4} )( 1 + 18 T + 227 T^{2} + 1746 T^{3} + 9409 T^{4} ) \))(\( ( 1 + 36 T + 658 T^{2} + 8136 T^{3} + 83571 T^{4} + 789192 T^{5} + 6191122 T^{6} + 32856228 T^{7} + 88529281 T^{8} )^{2} \))(\( ( 1 + 175 T^{2} + 21216 T^{4} + 1646575 T^{6} + 88529281 T^{8} )^{2} \))(\( ( 1 - 36 T + 658 T^{2} - 8136 T^{3} + 83571 T^{4} - 789192 T^{5} + 6191122 T^{6} - 32856228 T^{7} + 88529281 T^{8} )^{2} \))(\( 1 + 9 T - 144 T^{2} - 1330 T^{3} + 5967 T^{4} + 43227 T^{5} - 190131 T^{6} + 4193019 T^{7} + 56143503 T^{8} - 1213855090 T^{9} - 12748216464 T^{10} + 77286062313 T^{11} + 832972004929 T^{12} \))(\( 1 - 36 T + 639 T^{2} - 5279 T^{3} + 6066 T^{4} + 189180 T^{5} + 2889973 T^{6} - 80034507 T^{7} + 487924911 T^{8} + 4644339244 T^{9} - 69770355327 T^{10} + 7687704294 T^{11} + 5259822128947 T^{12} + 745707316518 T^{13} - 656469273271743 T^{14} + 4238763030839212 T^{15} + 43195641552818991 T^{16} - 687283543910248299 T^{17} + 2407266604000676917 T^{18} + 15285419457569417340 T^{19} + 47541872183490645426 T^{20} - \)\(40\!\cdots\!43\)\( T^{21} + \)\(47\!\cdots\!11\)\( T^{22} - \)\(25\!\cdots\!08\)\( T^{23} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 - 6 T + 45 T^{2} - 77 T^{3} + 756 T^{4} - 61332 T^{5} + 893563 T^{6} - 15172641 T^{7} - 9546471 T^{8} + 586300816 T^{9} + 2385764697 T^{10} - 62033142690 T^{11} + 1354472585623 T^{12} - 6017214840930 T^{13} + 22447660034073 T^{14} + 535100924641168 T^{15} - 845142213717351 T^{16} - 130292630864308737 T^{17} + 744312963640372027 T^{18} - 4955520383611626516 T^{19} + 5925099797348982516 T^{20} - 58537791516401521709 T^{21} + \)\(33\!\cdots\!05\)\( T^{22} - \)\(42\!\cdots\!18\)\( T^{23} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 + 18 T + 189 T^{2} + 2625 T^{3} + 50418 T^{4} + 612108 T^{5} + 5259108 T^{6} + 63689679 T^{7} + 850074408 T^{8} + 8882224637 T^{9} + 68323018779 T^{10} + 796849626078 T^{11} + 10415771822475 T^{12} + 103640911630929 T^{13} + 882364650547095 T^{14} + 10448205174238401 T^{15} + 133489131120097056 T^{16} + 1176142053723546519 T^{17} + 10328093102277465459 T^{18} + \)\(11\!\cdots\!43\)\( T^{19} + \)\(12\!\cdots\!04\)\( T^{20} + \)\(95\!\cdots\!73\)\( T^{21} + \)\(78\!\cdots\!95\)\( T^{22} + \)\(88\!\cdots\!53\)\( T^{23} + \)\(86\!\cdots\!75\)\( T^{24} + \)\(64\!\cdots\!14\)\( T^{25} + \)\(53\!\cdots\!19\)\( T^{26} + \)\(67\!\cdots\!29\)\( T^{27} + \)\(62\!\cdots\!92\)\( T^{28} + \)\(45\!\cdots\!87\)\( T^{29} + \)\(36\!\cdots\!28\)\( T^{30} + \)\(41\!\cdots\!16\)\( T^{31} + \)\(32\!\cdots\!42\)\( T^{32} + \)\(16\!\cdots\!25\)\( T^{33} + \)\(11\!\cdots\!69\)\( T^{34} + \)\(10\!\cdots\!66\)\( T^{35} + \)\(57\!\cdots\!89\)\( T^{36} \))(\( 1 + 24 T + 288 T^{2} - 624 T^{3} - 53186 T^{4} - 742824 T^{5} - 2315520 T^{6} + 48603528 T^{7} + 893568195 T^{8} + 4714542216 T^{9} - 21786727680 T^{10} - 677955408552 T^{11} - 4708518339266 T^{12} - 5358500320368 T^{13} + 239895937419552 T^{14} + 1939158827474712 T^{15} + 7837433594376961 T^{16} \))(\( ( 1 - 12 T + 72 T^{2} + 1464 T^{3} - 18193 T^{4} + 142008 T^{5} + 677448 T^{6} - 10952076 T^{7} + 88529281 T^{8} )^{2} \))(\( ( 1 - 6 T + 18 T^{2} + 1056 T^{3} - 12577 T^{4} + 102432 T^{5} + 169362 T^{6} - 5476038 T^{7} + 88529281 T^{8} )^{2} \))(\( ( 1 + 6 T + 333 T^{2} + 1506 T^{3} + 45656 T^{4} + 146082 T^{5} + 3133197 T^{6} + 5476038 T^{7} + 88529281 T^{8} )^{2} \))(\( ( 1 - 36 T + 333 T^{2} + 3144 T^{3} - 76564 T^{4} + 304968 T^{5} + 3133197 T^{6} - 32856228 T^{7} + 88529281 T^{8} )^{2} \))(\( ( 1 + 6 T + 18 T^{2} - 1056 T^{3} - 12577 T^{4} - 102432 T^{5} + 169362 T^{6} + 5476038 T^{7} + 88529281 T^{8} )^{2} \))(\( ( 1 - 12 T + 72 T^{2} + 1464 T^{3} - 18193 T^{4} + 142008 T^{5} + 677448 T^{6} - 10952076 T^{7} + 88529281 T^{8} )^{2} \))(\( 1 + 24 T + 288 T^{2} - 624 T^{3} - 53186 T^{4} - 742824 T^{5} - 2315520 T^{6} + 48603528 T^{7} + 893568195 T^{8} + 4714542216 T^{9} - 21786727680 T^{10} - 677955408552 T^{11} - 4708518339266 T^{12} - 5358500320368 T^{13} + 239895937419552 T^{14} + 1939158827474712 T^{15} + 7837433594376961 T^{16} \))(\( ( 1 + 6 T - 30 T^{2} - 1200 T^{3} - 16946 T^{4} - 100494 T^{5} + 648528 T^{6} + 11679030 T^{7} + 153995139 T^{8} + 1132865910 T^{9} + 6101999952 T^{10} - 91718160462 T^{11} - 1500217195826 T^{12} - 10304808308400 T^{13} - 24989160147870 T^{14} + 484789706868678 T^{15} + 7837433594376961 T^{16} )^{2} \))(\( ( 1 + 6 T + 66 T^{2} - 624 T^{3} - 15218 T^{4} - 116334 T^{5} - 538800 T^{6} + 13033782 T^{7} + 158017923 T^{8} + 1264276854 T^{9} - 5069569200 T^{10} - 106174900782 T^{11} - 1347238598258 T^{12} - 5358500320368 T^{13} + 54976152325314 T^{14} + 484789706868678 T^{15} + 7837433594376961 T^{16} )^{2} \))
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