Properties

Label 490.2
Level 490
Weight 2
Dimension 2067
Nonzero newspaces 12
Newform subspaces 58
Sturm bound 28224
Trace bound 4

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Defining parameters

Level: \( N \) = \( 490 = 2 \cdot 5 \cdot 7^{2} \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 12 \)
Newform subspaces: \( 58 \)
Sturm bound: \(28224\)
Trace bound: \(4\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(490))\).

Total New Old
Modular forms 7536 2067 5469
Cusp forms 6577 2067 4510
Eisenstein series 959 0 959

Trace form

\( 2067q - q^{2} + 4q^{3} + 7q^{4} + 11q^{5} + 20q^{6} + 16q^{7} - q^{8} + 43q^{9} + O(q^{10}) \) \( 2067q - q^{2} + 4q^{3} + 7q^{4} + 11q^{5} + 20q^{6} + 16q^{7} - q^{8} + 43q^{9} + 11q^{10} + 36q^{11} + 4q^{12} + 26q^{13} + 12q^{14} + 44q^{15} + 7q^{16} + 78q^{17} + 35q^{18} + 68q^{19} + 11q^{20} + 52q^{21} + 36q^{22} + 72q^{23} + 20q^{24} - 17q^{25} + 10q^{26} - 8q^{27} - 8q^{28} - 30q^{29} - 100q^{30} - 16q^{31} - q^{32} - 96q^{33} - 66q^{34} - 30q^{35} - 53q^{36} - 134q^{37} - 128q^{38} - 236q^{39} - 31q^{40} - 114q^{41} - 180q^{42} - 100q^{43} - 96q^{44} - 211q^{45} - 228q^{46} - 120q^{47} - 24q^{48} - 236q^{49} - 13q^{50} - 168q^{51} - 2q^{52} + 18q^{53} - 148q^{54} - 126q^{55} - 72q^{56} - 40q^{57} - 54q^{58} - 108q^{59} + 2q^{60} - 122q^{61} + 28q^{62} - 24q^{63} + 7q^{64} + 10q^{65} + 144q^{66} - 4q^{67} + 78q^{68} + 96q^{69} + 42q^{70} + 120q^{71} + 35q^{72} + 38q^{73} + 106q^{74} + 52q^{75} + 68q^{76} + 96q^{77} + 136q^{78} + 80q^{79} + 11q^{80} + 7q^{81} + 102q^{82} - 36q^{83} + 52q^{84} + 18q^{85} + 52q^{86} - 120q^{87} - 12q^{88} - 162q^{89} - 49q^{90} - 76q^{91} - 24q^{92} - 424q^{93} - 332q^{95} - 28q^{96} - 202q^{97} - 48q^{98} - 252q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(490))\)

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
490.2.a \(\chi_{490}(1, \cdot)\) 490.2.a.a 1 1
490.2.a.b 1
490.2.a.c 1
490.2.a.d 1
490.2.a.e 1
490.2.a.f 1
490.2.a.g 1
490.2.a.h 1
490.2.a.i 1
490.2.a.j 1
490.2.a.k 1
490.2.a.l 2
490.2.a.m 2
490.2.c \(\chi_{490}(99, \cdot)\) 490.2.c.a 2 1
490.2.c.b 2
490.2.c.c 2
490.2.c.d 2
490.2.c.e 4
490.2.c.f 4
490.2.c.g 4
490.2.e \(\chi_{490}(361, \cdot)\) 490.2.e.a 2 2
490.2.e.b 2
490.2.e.c 2
490.2.e.d 2
490.2.e.e 2
490.2.e.f 2
490.2.e.g 2
490.2.e.h 2
490.2.e.i 4
490.2.e.j 4
490.2.g \(\chi_{490}(97, \cdot)\) 490.2.g.a 8 2
490.2.g.b 16
490.2.g.c 16
490.2.i \(\chi_{490}(79, \cdot)\) 490.2.i.a 4 2
490.2.i.b 4
490.2.i.c 8
490.2.i.d 8
490.2.i.e 8
490.2.i.f 8
490.2.k \(\chi_{490}(71, \cdot)\) 490.2.k.a 6 6
490.2.k.b 6
490.2.k.c 6
490.2.k.d 12
490.2.k.e 12
490.2.k.f 24
490.2.k.g 30
490.2.l \(\chi_{490}(117, \cdot)\) 490.2.l.a 16 4
490.2.l.b 16
490.2.l.c 16
490.2.l.d 32
490.2.p \(\chi_{490}(29, \cdot)\) 490.2.p.a 168 6
490.2.q \(\chi_{490}(11, \cdot)\) 490.2.q.a 48 12
490.2.q.b 60
490.2.q.c 60
490.2.q.d 72
490.2.s \(\chi_{490}(13, \cdot)\) 490.2.s.a 336 12
490.2.t \(\chi_{490}(9, \cdot)\) 490.2.t.a 336 12
490.2.w \(\chi_{490}(3, \cdot)\) 490.2.w.a 672 24

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(490))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(490)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(14))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(35))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(49))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(70))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(98))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(245))\)\(^{\oplus 2}\)

Hecke characteristic polynomials

$p$ $F_p(T)$
$2$ (\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( ( 1 + T^{2} )^{2} \))(\( ( 1 + T^{2} )^{2} \))(\( ( 1 + T^{2} )^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( ( 1 - T + T^{2} )^{2} \))(\( ( 1 - T + T^{2} )^{2} \))(\( ( 1 + T^{4} )^{2} \))(\( ( 1 + T^{4} )^{4} \))(\( ( 1 + T^{4} )^{4} \))(\( 1 - T^{2} + T^{4} \))(\( 1 - T^{2} + T^{4} \))(\( ( 1 - T^{2} + T^{4} )^{2} \))(\( ( 1 - T^{2} + T^{4} )^{2} \))(\( ( 1 - T^{2} + T^{4} )^{2} \))(\( ( 1 - T^{2} + T^{4} )^{2} \))(\( 1 + T + T^{2} + T^{3} + T^{4} + T^{5} + T^{6} \))(\( 1 - T + T^{2} - T^{3} + T^{4} - T^{5} + T^{6} \))(\( 1 - T + T^{2} - T^{3} + T^{4} - T^{5} + T^{6} \))(\( ( 1 + T + T^{2} + T^{3} + T^{4} + T^{5} + T^{6} )^{2} \))(\( ( 1 - T + T^{2} - T^{3} + T^{4} - T^{5} + T^{6} )^{2} \))(\( ( 1 - T^{4} + T^{8} )^{2} \))(\( ( 1 - T^{4} + T^{8} )^{2} \))(\( ( 1 - T^{4} + T^{8} )^{2} \))
$3$ (\( 1 + 2 T + 3 T^{2} \))(\( 1 + T + 3 T^{2} \))(\( 1 - T + 3 T^{2} \))(\( 1 - 2 T + 3 T^{2} \))(\( 1 + 3 T + 3 T^{2} \))(\( 1 + 2 T + 3 T^{2} \))(\( 1 + 2 T + 3 T^{2} \))(\( 1 + 3 T^{2} \))(\( 1 - 2 T + 3 T^{2} \))(\( 1 - 2 T + 3 T^{2} \))(\( 1 - 3 T + 3 T^{2} \))(\( 1 + 4 T + 8 T^{2} + 12 T^{3} + 9 T^{4} \))(\( 1 - 4 T + 8 T^{2} - 12 T^{3} + 9 T^{4} \))(\( ( 1 - 3 T^{2} )^{2} \))(\( 1 + 3 T^{2} + 9 T^{4} \))(\( 1 + 3 T^{2} + 9 T^{4} \))(\( ( 1 - 3 T^{2} )^{2} \))(\( ( 1 + 9 T^{4} )^{2} \))(\( ( 1 - 4 T^{2} + 9 T^{4} )^{2} \))(\( ( 1 - 3 T^{2} )^{4} \))(\( 1 + 2 T + T^{2} + 6 T^{3} + 9 T^{4} \))(\( 1 + 2 T + T^{2} + 6 T^{3} + 9 T^{4} \))(\( ( 1 - 3 T + 3 T^{2} )( 1 + 3 T + 3 T^{2} ) \))(\( ( 1 - 3 T + 3 T^{2} )( 1 + 3 T + 3 T^{2} ) \))(\( 1 - 2 T + T^{2} - 6 T^{3} + 9 T^{4} \))(\( ( 1 - 3 T + 3 T^{2} )( 1 + 3 T^{2} ) \))(\( 1 + 2 T + T^{2} + 6 T^{3} + 9 T^{4} \))(\( 1 - T - 2 T^{2} - 3 T^{3} + 9 T^{4} \))(\( 1 + 4 T + 8 T^{2} + 8 T^{3} + 7 T^{4} + 24 T^{5} + 72 T^{6} + 108 T^{7} + 81 T^{8} \))(\( 1 - 4 T + 8 T^{2} - 8 T^{3} + 7 T^{4} - 24 T^{5} + 72 T^{6} - 108 T^{7} + 81 T^{8} \))(\( 1 - 12 T^{4} + 70 T^{8} - 972 T^{12} + 6561 T^{16} \))(\( 1 - 8 T^{4} + 60 T^{8} + 200 T^{12} - 2234 T^{16} + 16200 T^{20} + 393660 T^{24} - 4251528 T^{28} + 43046721 T^{32} \))(\( 1 - 6 T^{4} + 17 T^{8} + 546 T^{12} - 572 T^{16} + 44226 T^{20} + 111537 T^{24} - 3188646 T^{28} + 43046721 T^{32} \))(\( ( 1 + 3 T^{2} + 9 T^{4} )^{2} \))(\( ( 1 - 3 T^{2} )^{2}( 1 + 3 T^{2} + 9 T^{4} ) \))(\( ( 1 - 9 T^{4} + 81 T^{8} )^{2} \))(\( ( 1 + 3 T^{2} + 9 T^{4} )^{4} \))(\( ( 1 + 4 T^{2} + 7 T^{4} + 36 T^{6} + 81 T^{8} )^{2} \))(\( ( 1 - 9 T^{4} + 81 T^{8} )^{2} \))(\( 1 + 4 T^{2} - 7 T^{3} + 9 T^{4} - 21 T^{5} + 43 T^{6} - 63 T^{7} + 81 T^{8} - 189 T^{9} + 324 T^{10} + 729 T^{12} \))(\( 1 + T - 2 T^{2} - 12 T^{3} - 13 T^{4} + 23 T^{5} + 76 T^{6} + 69 T^{7} - 117 T^{8} - 324 T^{9} - 162 T^{10} + 243 T^{11} + 729 T^{12} \))(\( 1 - 6 T + 12 T^{2} - 5 T^{3} + T^{4} - 75 T^{5} + 223 T^{6} - 225 T^{7} + 9 T^{8} - 135 T^{9} + 972 T^{10} - 1458 T^{11} + 729 T^{12} \))(\( ( 1 + 2 T + T^{2} + 10 T^{3} + 17 T^{4} + 18 T^{5} + 55 T^{6} + 54 T^{7} + 153 T^{8} + 270 T^{9} + 81 T^{10} + 486 T^{11} + 729 T^{12} )^{2} \))(\( ( 1 + 2 T + T^{2} + 10 T^{3} + 17 T^{4} + 18 T^{5} + 55 T^{6} + 54 T^{7} + 153 T^{8} + 270 T^{9} + 81 T^{10} + 486 T^{11} + 729 T^{12} )^{2} \))(\( ( 1 - 8 T^{2} + 32 T^{4} - 112 T^{6} + 367 T^{8} - 1008 T^{10} + 2592 T^{12} - 5832 T^{14} + 6561 T^{16} )( 1 + 8 T^{2} + 32 T^{4} + 112 T^{6} + 367 T^{8} + 1008 T^{10} + 2592 T^{12} + 5832 T^{14} + 6561 T^{16} ) \))(\( 1 + 12 T^{4} + 74 T^{8} - 1104 T^{12} - 13325 T^{16} - 89424 T^{20} + 485514 T^{24} + 6377292 T^{28} + 43046721 T^{32} \))(\( 1 + 3 T^{4} + 24 T^{5} - 48 T^{7} + 5 T^{8} + 72 T^{9} + 288 T^{10} - 120 T^{11} - 570 T^{12} + 720 T^{13} + 2016 T^{14} + 2136 T^{15} - 2570 T^{16} + 6408 T^{17} + 18144 T^{18} + 19440 T^{19} - 46170 T^{20} - 29160 T^{21} + 209952 T^{22} + 157464 T^{23} + 32805 T^{24} - 944784 T^{25} + 4251528 T^{27} + 1594323 T^{28} + 43046721 T^{32} \))
$5$ (\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( 1 + 4 T + 5 T^{2} \))(\( 1 + 2 T + 5 T^{2} \))(\( 1 - 2 T + 5 T^{2} \))(\( 1 - 4 T + 5 T^{2} \))(\( 1 + 4 T + 8 T^{2} + 20 T^{3} + 25 T^{4} \))(\( 1 - 8 T^{2} + 25 T^{4} \))(\( 1 + 8 T^{2} + 25 T^{4} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 + T + T^{2} \))(\( ( 1 + T + T^{2} )^{2} \))(\( ( 1 - T + T^{2} )^{2} \))(\( 1 - 48 T^{4} + 625 T^{8} \))(\( 1 - 16 T^{2} + 128 T^{4} - 656 T^{6} + 3106 T^{8} - 16400 T^{10} + 80000 T^{12} - 250000 T^{14} + 390625 T^{16} \))(\( 1 + 12 T^{2} + 72 T^{4} + 324 T^{6} + 1454 T^{8} + 8100 T^{10} + 45000 T^{12} + 187500 T^{14} + 390625 T^{16} \))(\( 1 + 4 T + 11 T^{2} + 20 T^{3} + 25 T^{4} \))(\( 1 - 2 T - T^{2} - 10 T^{3} + 25 T^{4} \))(\( 1 + 4 T + 8 T^{2} - 8 T^{3} - 41 T^{4} - 40 T^{5} + 200 T^{6} + 500 T^{7} + 625 T^{8} \))(\( 1 - 8 T^{2} + 39 T^{4} - 200 T^{6} + 625 T^{8} \))(\( 1 + 8 T^{2} + 39 T^{4} + 200 T^{6} + 625 T^{8} \))(\( 1 - 4 T + 8 T^{2} + 8 T^{3} - 41 T^{4} + 40 T^{5} + 200 T^{6} - 500 T^{7} + 625 T^{8} \))(\( 1 + T + T^{2} + T^{3} + T^{4} + T^{5} + T^{6} \))(\( 1 - T + T^{2} - T^{3} + T^{4} - T^{5} + T^{6} \))(\( 1 - T + T^{2} - T^{3} + T^{4} - T^{5} + T^{6} \))(\( ( 1 + T + T^{2} + T^{3} + T^{4} + T^{5} + T^{6} )^{2} \))(\( ( 1 - T + T^{2} - T^{3} + T^{4} - T^{5} + T^{6} )^{2} \))(\( 1 + 48 T^{4} + 1679 T^{8} + 30000 T^{12} + 390625 T^{16} \))(\( 1 + 48 T^{4} + 1679 T^{8} + 30000 T^{12} + 390625 T^{16} \))(\( 1 - 12 T + 66 T^{2} - 216 T^{3} + 450 T^{4} - 468 T^{5} - 864 T^{6} + 6252 T^{7} - 18241 T^{8} + 31260 T^{9} - 21600 T^{10} - 58500 T^{11} + 281250 T^{12} - 675000 T^{13} + 1031250 T^{14} - 937500 T^{15} + 390625 T^{16} \))
$7$ (\( 1 - 7 T + 21 T^{2} - 49 T^{3} + 147 T^{4} - 343 T^{5} + 343 T^{6} \))(\( 1 + 7 T + 21 T^{2} + 49 T^{3} + 147 T^{4} + 343 T^{5} + 343 T^{6} \))(\( 1 - 7 T + 21 T^{2} - 49 T^{3} + 147 T^{4} - 343 T^{5} + 343 T^{6} \))(\( 1 - 35 T^{3} + 49 T^{4} - 49 T^{5} + 735 T^{6} - 343 T^{7} + 2401 T^{8} - 12005 T^{9} + 117649 T^{12} \))(\( 1 - 35 T^{3} - 7 T^{4} + 35 T^{5} + 889 T^{6} + 245 T^{7} - 343 T^{8} - 12005 T^{9} + 117649 T^{12} \))
$11$ (\( 1 - 3 T + 11 T^{2} \))(\( 1 + 6 T + 11 T^{2} \))(\( 1 + 6 T + 11 T^{2} \))(\( 1 - 3 T + 11 T^{2} \))(\( 1 + 2 T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 - 3 T + 11 T^{2} \))(\( 1 - 4 T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 - 3 T + 11 T^{2} \))(\( 1 + 2 T + 11 T^{2} \))(\( 1 - 4 T + 18 T^{2} - 44 T^{3} + 121 T^{4} \))(\( 1 - 4 T + 18 T^{2} - 44 T^{3} + 121 T^{4} \))(\( ( 1 - 3 T + 11 T^{2} )^{2} \))(\( ( 1 + 11 T^{2} )^{2} \))(\( ( 1 + 11 T^{2} )^{2} \))(\( ( 1 - 3 T + 11 T^{2} )^{2} \))(\( ( 1 - 2 T^{2} + 121 T^{4} )^{2} \))(\( ( 1 + 11 T^{2} )^{4} \))(\( ( 1 + 4 T + 11 T^{2} )^{4} \))(\( 1 + 3 T - 2 T^{2} + 33 T^{3} + 121 T^{4} \))(\( 1 - 4 T + 5 T^{2} - 44 T^{3} + 121 T^{4} \))(\( 1 + 4 T + 5 T^{2} + 44 T^{3} + 121 T^{4} \))(\( 1 + 4 T + 5 T^{2} + 44 T^{3} + 121 T^{4} \))(\( 1 - 4 T + 5 T^{2} - 44 T^{3} + 121 T^{4} \))(\( 1 - 2 T - 7 T^{2} - 22 T^{3} + 121 T^{4} \))(\( 1 + 3 T - 2 T^{2} + 33 T^{3} + 121 T^{4} \))(\( 1 - 6 T + 25 T^{2} - 66 T^{3} + 121 T^{4} \))(\( 1 + 4 T - 2 T^{2} - 16 T^{3} + 27 T^{4} - 176 T^{5} - 242 T^{6} + 5324 T^{7} + 14641 T^{8} \))(\( 1 + 4 T - 2 T^{2} - 16 T^{3} + 27 T^{4} - 176 T^{5} - 242 T^{6} + 5324 T^{7} + 14641 T^{8} \))(\( ( 1 + 4 T + 18 T^{2} + 44 T^{3} + 121 T^{4} )^{4} \))(\( ( 1 + 4 T + 32 T^{2} + 116 T^{3} + 478 T^{4} + 1276 T^{5} + 3872 T^{6} + 5324 T^{7} + 14641 T^{8} )^{4} \))(\( ( 1 - 6 T + 31 T^{2} - 102 T^{3} + 378 T^{4} - 1122 T^{5} + 3751 T^{6} - 7986 T^{7} + 14641 T^{8} )^{4} \))(\( ( 1 + 3 T - 2 T^{2} + 33 T^{3} + 121 T^{4} )^{2} \))(\( ( 1 - 11 T^{2} + 121 T^{4} )^{2} \))(\( ( 1 + 2 T^{2} - 117 T^{4} + 242 T^{6} + 14641 T^{8} )^{2} \))(\( ( 1 - 4 T + 5 T^{2} - 44 T^{3} + 121 T^{4} )^{4} \))(\( ( 1 - 11 T^{2} + 121 T^{4} )^{4} \))(\( ( 1 + 2 T^{2} - 117 T^{4} + 242 T^{6} + 14641 T^{8} )^{2} \))(\( ( 1 - 5 T - 3 T^{2} + 57 T^{3} - 33 T^{4} - 605 T^{5} + 1331 T^{6} )^{2} \))(\( 1 + 8 T + 25 T^{2} + 42 T^{3} - 79 T^{4} - 1388 T^{5} - 6679 T^{6} - 15268 T^{7} - 9559 T^{8} + 55902 T^{9} + 366025 T^{10} + 1288408 T^{11} + 1771561 T^{12} \))(\( 1 - 6 T + 11 T^{2} - 23 T^{4} + 586 T^{5} - 3417 T^{6} + 6446 T^{7} - 2783 T^{8} + 161051 T^{10} - 966306 T^{11} + 1771561 T^{12} \))(\( 1 - T - 30 T^{2} - 20 T^{3} + 546 T^{4} + 1344 T^{5} - 5054 T^{6} - 30297 T^{7} - 10128 T^{8} + 369035 T^{9} + 1055907 T^{10} - 1741229 T^{11} - 16878309 T^{12} - 19153519 T^{13} + 127764747 T^{14} + 491185585 T^{15} - 148284048 T^{16} - 4879362147 T^{17} - 8953469294 T^{18} + 26190757824 T^{19} + 117039949026 T^{20} - 47158953820 T^{21} - 778122738030 T^{22} - 285311670611 T^{23} + 3138428376721 T^{24} \))(\( 1 - T - 16 T^{2} - 20 T^{3} + 168 T^{4} + 532 T^{5} - 1274 T^{6} - 113 T^{7} + 13112 T^{8} - 46527 T^{9} - 366661 T^{10} + 344561 T^{11} + 5905795 T^{12} + 3790171 T^{13} - 44365981 T^{14} - 61927437 T^{15} + 191972792 T^{16} - 18198763 T^{17} - 2256968714 T^{18} + 10367174972 T^{19} + 36012292008 T^{20} - 47158953820 T^{21} - 414998793616 T^{22} - 285311670611 T^{23} + 3138428376721 T^{24} \))(\( ( 1 - 14 T^{2} + 75 T^{4} - 1694 T^{6} + 14641 T^{8} )^{4} \))(\( ( 1 - 4 T - 2 T^{2} + 16 T^{3} + 27 T^{4} + 176 T^{5} - 242 T^{6} - 5324 T^{7} + 14641 T^{8} )^{4} \))(\( ( 1 + 6 T + 5 T^{2} - 18 T^{3} - 29 T^{4} - 252 T^{5} - 544 T^{6} - 516 T^{7} - 6650 T^{8} - 5676 T^{9} - 65824 T^{10} - 335412 T^{11} - 424589 T^{12} - 2898918 T^{13} + 8857805 T^{14} + 116923026 T^{15} + 214358881 T^{16} )^{2} \))
$13$ (\( 1 + T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( 1 - T + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 - 5 T + 13 T^{2} \))(\( 1 - 6 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 + 5 T + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 - 4 T + 22 T^{2} - 52 T^{3} + 169 T^{4} \))(\( 1 + 4 T + 22 T^{2} + 52 T^{3} + 169 T^{4} \))(\( 1 - T^{2} + 169 T^{4} \))(\( 1 - 22 T^{2} + 169 T^{4} \))(\( 1 - 22 T^{2} + 169 T^{4} \))(\( 1 - T^{2} + 169 T^{4} \))(\( 1 - 32 T^{2} + 498 T^{4} - 5408 T^{6} + 28561 T^{8} \))(\( ( 1 - 8 T^{2} + 169 T^{4} )^{2} \))(\( ( 1 - 8 T^{2} + 169 T^{4} )^{2} \))(\( ( 1 + 5 T + 13 T^{2} )^{2} \))(\( ( 1 - 2 T + 13 T^{2} )^{2} \))(\( ( 1 - 6 T + 13 T^{2} )^{2} \))(\( ( 1 + 6 T + 13 T^{2} )^{2} \))(\( ( 1 + 2 T + 13 T^{2} )^{2} \))(\( ( 1 + 13 T^{2} )^{2} \))(\( ( 1 - T + 13 T^{2} )^{2} \))(\( ( 1 - 4 T + 13 T^{2} )^{2} \))(\( ( 1 + 4 T + 22 T^{2} + 52 T^{3} + 169 T^{4} )^{2} \))(\( ( 1 - 4 T + 22 T^{2} - 52 T^{3} + 169 T^{4} )^{2} \))(\( ( 1 - 240 T^{4} + 28561 T^{8} )^{2} \))(\( 1 + 448 T^{4} + 116932 T^{8} + 27748672 T^{12} + 5396714950 T^{16} + 792529820992 T^{20} + 95385024667972 T^{24} + 10437542134871488 T^{28} + 665416609183179841 T^{32} \))(\( 1 + 714 T^{4} + 266977 T^{8} + 68653746 T^{12} + 13237862628 T^{16} + 1960819639506 T^{20} + 217781340700417 T^{24} + 16634832777451434 T^{28} + 665416609183179841 T^{32} \))(\( ( 1 - T^{2} + 169 T^{4} )^{2} \))(\( ( 1 - 22 T^{2} + 169 T^{4} )^{2} \))(\( ( 1 - 32 T^{2} + 498 T^{4} - 5408 T^{6} + 28561 T^{8} )^{2} \))(\( ( 1 - 8 T^{2} + 169 T^{4} )^{4} \))(\( ( 1 - 8 T^{2} + 169 T^{4} )^{4} \))(\( ( 1 - 32 T^{2} + 498 T^{4} - 5408 T^{6} + 28561 T^{8} )^{2} \))(\( 1 - T - 12 T^{2} + 25 T^{3} + 131 T^{4} - 456 T^{5} - 1247 T^{6} - 5928 T^{7} + 22139 T^{8} + 54925 T^{9} - 342732 T^{10} - 371293 T^{11} + 4826809 T^{12} \))(\( 1 - 4 T + 3 T^{2} - 86 T^{3} + 305 T^{4} - 606 T^{5} + 4003 T^{6} - 7878 T^{7} + 51545 T^{8} - 188942 T^{9} + 85683 T^{10} - 1485172 T^{11} + 4826809 T^{12} \))(\( 1 + 3 T - 4 T^{2} - 51 T^{3} - 101 T^{4} + 360 T^{5} + 2393 T^{6} + 4680 T^{7} - 17069 T^{8} - 112047 T^{9} - 114244 T^{10} + 1113879 T^{11} + 4826809 T^{12} \))(\( 1 + 4 T + 35 T^{2} + 65 T^{3} + 838 T^{4} + 1335 T^{5} + 16333 T^{6} + 18690 T^{7} + 307145 T^{8} + 305421 T^{9} + 4462740 T^{10} + 3098967 T^{11} + 61870337 T^{12} + 40286571 T^{13} + 754203060 T^{14} + 671009937 T^{15} + 8772368345 T^{16} + 6939466170 T^{17} + 78836271397 T^{18} + 83769270195 T^{19} + 683582344198 T^{20} + 689292459245 T^{21} + 4825047214715 T^{22} + 7168641576148 T^{23} + 23298085122481 T^{24} \))(\( 1 - 12 T + 75 T^{2} - 319 T^{3} + 776 T^{4} + 1039 T^{5} - 21657 T^{6} + 123496 T^{7} - 436975 T^{8} + 784221 T^{9} + 1912172 T^{10} - 22008307 T^{11} + 100056233 T^{12} - 286107991 T^{13} + 323157068 T^{14} + 1722933537 T^{15} - 12480442975 T^{16} + 45853200328 T^{17} - 104534202513 T^{18} + 65195709163 T^{19} + 633007039496 T^{20} - 3382835299987 T^{21} + 10339386888675 T^{22} - 21505924728444 T^{23} + 23298085122481 T^{24} \))(\( ( 1 - 240 T^{4} + 28561 T^{8} )^{4} \))(\( ( 1 - 240 T^{4} + 28561 T^{8} )^{4} \))(\( 1 + 714 T^{4} + 266977 T^{8} + 68653746 T^{12} + 13237862628 T^{16} + 1960819639506 T^{20} + 217781340700417 T^{24} + 16634832777451434 T^{28} + 665416609183179841 T^{32} \))
$17$ (\( 1 + 6 T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 - 4 T + 17 T^{2} \))(\( 1 + 8 T + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 - 8 T + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 + 4 T + 17 T^{2} \))(\( 1 + 8 T + 48 T^{2} + 136 T^{3} + 289 T^{4} \))(\( 1 - 8 T + 48 T^{2} - 136 T^{3} + 289 T^{4} \))(\( ( 1 - 8 T + 17 T^{2} )( 1 + 8 T + 17 T^{2} ) \))(\( ( 1 - 8 T + 17 T^{2} )( 1 + 8 T + 17 T^{2} ) \))(\( ( 1 - 8 T + 17 T^{2} )( 1 + 8 T + 17 T^{2} ) \))(\( ( 1 - 8 T + 17 T^{2} )( 1 + 8 T + 17 T^{2} ) \))(\( ( 1 - 8 T + 17 T^{2} )^{2}( 1 + 8 T + 17 T^{2} )^{2} \))(\( ( 1 - 6 T + 17 T^{2} )^{2}( 1 + 6 T + 17 T^{2} )^{2} \))(\( ( 1 - 16 T^{2} + 289 T^{4} )^{2} \))(\( 1 - 6 T + 19 T^{2} - 102 T^{3} + 289 T^{4} \))(\( 1 + 8 T + 47 T^{2} + 136 T^{3} + 289 T^{4} \))(\( 1 - 2 T - 13 T^{2} - 34 T^{3} + 289 T^{4} \))(\( 1 + 2 T - 13 T^{2} + 34 T^{3} + 289 T^{4} \))(\( 1 - 8 T + 47 T^{2} - 136 T^{3} + 289 T^{4} \))(\( 1 + 4 T - T^{2} + 68 T^{3} + 289 T^{4} \))(\( 1 + 6 T + 19 T^{2} + 102 T^{3} + 289 T^{4} \))(\( 1 - 17 T^{2} + 289 T^{4} \))(\( 1 + 8 T + 16 T^{2} + 112 T^{3} + 927 T^{4} + 1904 T^{5} + 4624 T^{6} + 39304 T^{7} + 83521 T^{8} \))(\( 1 - 8 T + 16 T^{2} - 112 T^{3} + 927 T^{4} - 1904 T^{5} + 4624 T^{6} - 39304 T^{7} + 83521 T^{8} \))(\( 1 - 832 T^{4} + 315010 T^{8} - 69489472 T^{12} + 6975757441 T^{16} \))(\( 1 - 256 T^{4} - 42748 T^{8} + 26148096 T^{12} - 2514670842 T^{16} + 2183915126016 T^{20} - 298199679087868 T^{24} - 149151292730818816 T^{28} + 48661191875666868481 T^{32} \))(\( 1 - 192 T^{4} - 111236 T^{8} + 6807744 T^{12} + 12704251398 T^{16} + 568589586624 T^{20} - 775955354707076 T^{24} - 111863469548114112 T^{28} + 48661191875666868481 T^{32} \))(\( ( 1 - 8 T + 47 T^{2} - 136 T^{3} + 289 T^{4} )( 1 + 8 T + 47 T^{2} + 136 T^{3} + 289 T^{4} ) \))(\( ( 1 - 8 T + 47 T^{2} - 136 T^{3} + 289 T^{4} )( 1 + 8 T + 47 T^{2} + 136 T^{3} + 289 T^{4} ) \))(\( ( 1 - 8 T + 47 T^{2} - 136 T^{3} + 289 T^{4} )^{2}( 1 + 8 T + 47 T^{2} + 136 T^{3} + 289 T^{4} )^{2} \))(\( ( 1 + 16 T^{2} - 33 T^{4} + 4624 T^{6} + 83521 T^{8} )^{2} \))(\( ( 1 - 6 T + 19 T^{2} - 102 T^{3} + 289 T^{4} )^{2}( 1 + 6 T + 19 T^{2} + 102 T^{3} + 289 T^{4} )^{2} \))(\( ( 1 - 8 T + 47 T^{2} - 136 T^{3} + 289 T^{4} )^{2}( 1 + 8 T + 47 T^{2} + 136 T^{3} + 289 T^{4} )^{2} \))(\( 1 - 2 T + T^{2} + 102 T^{3} + 185 T^{4} - 214 T^{5} + 8567 T^{6} - 3638 T^{7} + 53465 T^{8} + 501126 T^{9} + 83521 T^{10} - 2839714 T^{11} + 24137569 T^{12} \))(\( 1 - 17 T^{2} + 289 T^{4} - 4913 T^{6} + 83521 T^{8} - 1419857 T^{10} + 24137569 T^{12} \))(\( 1 + 25 T^{2} - 14 T^{3} + 723 T^{4} - 742 T^{5} + 11439 T^{6} - 12614 T^{7} + 208947 T^{8} - 68782 T^{9} + 2088025 T^{10} + 24137569 T^{12} \))(\( 1 - 5 T + 32 T^{2} - 7 T^{3} - 88 T^{4} + 3071 T^{5} - 10337 T^{6} + 32829 T^{7} + 61195 T^{8} - 504220 T^{9} + 1670576 T^{10} - 4692432 T^{11} + 8439139 T^{12} - 79771344 T^{13} + 482796464 T^{14} - 2477232860 T^{15} + 5111067595 T^{16} + 46612485453 T^{17} - 249510050753 T^{18} + 1260150064783 T^{19} - 613866654808 T^{20} - 830115135479 T^{21} + 64511804814368 T^{22} - 171359481538165 T^{23} + 582622237229761 T^{24} \))(\( 1 - 9 T - 52 T^{2} + 651 T^{3} + 1046 T^{4} - 22797 T^{5} - 1195 T^{6} + 482413 T^{7} - 379161 T^{8} - 6424730 T^{9} + 9451006 T^{10} + 40032352 T^{11} - 164297705 T^{12} + 680549984 T^{13} + 2731340734 T^{14} - 31564698490 T^{15} - 31667905881 T^{16} + 684957474941 T^{17} - 28844394955 T^{18} - 9354490728381 T^{19} + 7296642283286 T^{20} + 77200707599547 T^{21} - 104831682823348 T^{22} - 308447066768697 T^{23} + 582622237229761 T^{24} \))(\( 1 + 252 T^{4} + 46474 T^{8} - 37803024 T^{12} - 11989654125 T^{16} - 3157346367504 T^{20} + 324191351313034 T^{24} + 146820803781899772 T^{28} + 48661191875666868481 T^{32} \))(\( 1 + 832 T^{4} + 377214 T^{8} + 123109376 T^{12} + 34440301955 T^{16} + 10282218192896 T^{20} + 2631353367349374 T^{24} + 484741701375161152 T^{28} + 48661191875666868481 T^{32} \))(\( 1 - 36 T + 648 T^{2} - 7776 T^{3} + 70080 T^{4} - 507420 T^{5} + 3088368 T^{6} - 16357284 T^{7} + 77768530 T^{8} - 343436904 T^{9} + 1468660248 T^{10} - 6351048828 T^{11} + 28493424864 T^{12} - 131692528476 T^{13} + 608521516920 T^{14} - 2723900163624 T^{15} + 11569567164915 T^{16} - 46306302781608 T^{17} + 175862718389880 T^{18} - 647005392402588 T^{19} + 2379799338066144 T^{20} - 9017581135777596 T^{21} + 35449888073657112 T^{22} - 140925443446588392 T^{23} + 542494401823131730 T^{24} - 1939775574818354148 T^{25} + 6226131050341877232 T^{26} - 17390245624419136860 T^{27} + 40830166385061650880 T^{28} - 77017998783876566112 T^{29} + \)\(10\!\cdots\!92\)\( T^{30} - \)\(10\!\cdots\!48\)\( T^{31} + 48661191875666868481 T^{32} \))
$19$ (\( 1 + T + 19 T^{2} \))(\( 1 + 2 T + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 - T + 19 T^{2} \))(\( 1 - 6 T + 19 T^{2} \))(\( 1 - 6 T + 19 T^{2} \))(\( 1 + T + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 + 6 T + 19 T^{2} \))(\( 1 - T + 19 T^{2} \))(\( 1 + 6 T + 19 T^{2} \))(\( 1 + 4 T + 40 T^{2} + 76 T^{3} + 361 T^{4} \))(\( 1 - 4 T + 40 T^{2} - 76 T^{3} + 361 T^{4} \))(\( ( 1 - 5 T + 19 T^{2} )^{2} \))(\( ( 1 + 2 T + 19 T^{2} )^{2} \))(\( ( 1 - 2 T + 19 T^{2} )^{2} \))(\( ( 1 + 5 T + 19 T^{2} )^{2} \))(\( ( 1 - 8 T + 48 T^{2} - 152 T^{3} + 361 T^{4} )^{2} \))(\( ( 1 + 20 T^{2} + 361 T^{4} )^{2} \))(\( ( 1 + 6 T^{2} + 361 T^{4} )^{2} \))(\( ( 1 - 7 T + 19 T^{2} )( 1 + 8 T + 19 T^{2} ) \))(\( 1 - 6 T + 17 T^{2} - 114 T^{3} + 361 T^{4} \))(\( 1 - 19 T^{2} + 361 T^{4} \))(\( 1 - 19 T^{2} + 361 T^{4} \))(\( 1 + 6 T + 17 T^{2} + 114 T^{3} + 361 T^{4} \))(\( 1 + 6 T + 17 T^{2} + 114 T^{3} + 361 T^{4} \))(\( ( 1 - 7 T + 19 T^{2} )( 1 + 8 T + 19 T^{2} ) \))(\( 1 - 2 T - 15 T^{2} - 38 T^{3} + 361 T^{4} \))(\( 1 + 4 T - 24 T^{2} + 8 T^{3} + 935 T^{4} + 152 T^{5} - 8664 T^{6} + 27436 T^{7} + 130321 T^{8} \))(\( 1 - 4 T - 24 T^{2} - 8 T^{3} + 935 T^{4} - 152 T^{5} - 8664 T^{6} - 27436 T^{7} + 130321 T^{8} \))(\( ( 1 + 4 T^{2} + 78 T^{4} + 1444 T^{6} + 130321 T^{8} )^{2} \))(\( ( 1 + 96 T^{2} + 4612 T^{4} + 144576 T^{6} + 3223446 T^{8} + 52191936 T^{10} + 601040452 T^{12} + 4516404576 T^{14} + 16983563041 T^{16} )^{2} \))(\( ( 1 + 90 T^{2} + 4089 T^{4} + 122298 T^{6} + 2679044 T^{8} + 44149578 T^{10} + 532882569 T^{12} + 4234129290 T^{14} + 16983563041 T^{16} )^{2} \))(\( ( 1 - 5 T + 6 T^{2} - 95 T^{3} + 361 T^{4} )^{2} \))(\( ( 1 - 2 T - 15 T^{2} - 38 T^{3} + 361 T^{4} )^{2} \))(\( ( 1 - 8 T + 16 T^{2} - 80 T^{3} + 727 T^{4} - 1520 T^{5} + 5776 T^{6} - 54872 T^{7} + 130321 T^{8} )^{2} \))(\( ( 1 - 6 T^{2} - 325 T^{4} - 2166 T^{6} + 130321 T^{8} )^{2} \))(\( ( 1 - 20 T^{2} + 39 T^{4} - 7220 T^{6} + 130321 T^{8} )^{2} \))(\( ( 1 + 8 T + 16 T^{2} + 80 T^{3} + 727 T^{4} + 1520 T^{5} + 5776 T^{6} + 54872 T^{7} + 130321 T^{8} )^{2} \))(\( ( 1 + 50 T^{2} - 7 T^{3} + 950 T^{4} + 6859 T^{6} )^{2} \))(\( ( 1 - 6 T + 41 T^{2} - 124 T^{3} + 779 T^{4} - 2166 T^{5} + 6859 T^{6} )^{2} \))(\( ( 1 + 8 T + 62 T^{2} + 261 T^{3} + 1178 T^{4} + 2888 T^{5} + 6859 T^{6} )^{2} \))(\( ( 1 + T + 101 T^{2} + 75 T^{3} + 4449 T^{4} + 2499 T^{5} + 109845 T^{6} + 47481 T^{7} + 1606089 T^{8} + 514425 T^{9} + 13162421 T^{10} + 2476099 T^{11} + 47045881 T^{12} )^{2} \))(\( ( 1 - 13 T + 115 T^{2} - 583 T^{3} + 2391 T^{4} - 6223 T^{5} + 24193 T^{6} - 118237 T^{7} + 863151 T^{8} - 3998797 T^{9} + 14986915 T^{10} - 32189287 T^{11} + 47045881 T^{12} )^{2} \))(\( ( 1 - 24 T^{2} + 288 T^{4} + 10416 T^{6} - 255313 T^{8} + 3760176 T^{10} + 37532448 T^{12} - 1129101144 T^{14} + 16983563041 T^{16} )^{2} \))(\( ( 1 - 4 T^{2} - 62 T^{4} + 2576 T^{6} - 130013 T^{8} + 929936 T^{10} - 8079902 T^{12} - 188183524 T^{14} + 16983563041 T^{16} )^{2} \))(\( 1 - 90 T^{2} + 4011 T^{4} - 123414 T^{6} + 3034057 T^{8} - 61998180 T^{10} + 1094493006 T^{12} - 18780034728 T^{14} + 344074548210 T^{16} - 6779592536808 T^{18} + 142635423034926 T^{20} - 2916758998496580 T^{22} + 51529098329487337 T^{24} - 756659411140252614 T^{26} + 8877606140374371771 T^{28} - 71910601720459570890 T^{30} + \)\(28\!\cdots\!81\)\( T^{32} \))
$23$ (\( 1 - 9 T + 23 T^{2} \))(\( 1 + 3 T + 23 T^{2} \))(\( 1 + 3 T + 23 T^{2} \))(\( 1 - 9 T + 23 T^{2} \))(\( 1 - 3 T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 - 3 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 - 3 T + 23 T^{2} \))(\( 1 - 3 T + 23 T^{2} \))(\( 1 + 8 T + 54 T^{2} + 184 T^{3} + 529 T^{4} \))(\( 1 + 8 T + 54 T^{2} + 184 T^{3} + 529 T^{4} \))(\( 1 + 3 T^{2} + 529 T^{4} \))(\( 1 - 45 T^{2} + 529 T^{4} \))(\( 1 - 45 T^{2} + 529 T^{4} \))(\( 1 + 3 T^{2} + 529 T^{4} \))(\( 1 - 36 T^{2} + 998 T^{4} - 19044 T^{6} + 279841 T^{8} \))(\( ( 1 - 10 T^{2} + 529 T^{4} )^{2} \))(\( ( 1 - 23 T^{2} )^{4} \))(\( 1 + 3 T - 14 T^{2} + 69 T^{3} + 529 T^{4} \))(\( 1 - 4 T - 7 T^{2} - 92 T^{3} + 529 T^{4} \))(\( 1 - 23 T^{2} + 529 T^{4} \))(\( 1 - 23 T^{2} + 529 T^{4} \))(\( 1 - 4 T - 7 T^{2} - 92 T^{3} + 529 T^{4} \))(\( 1 + 3 T - 14 T^{2} + 69 T^{3} + 529 T^{4} \))(\( 1 + 9 T + 58 T^{2} + 207 T^{3} + 529 T^{4} \))(\( 1 - 3 T - 14 T^{2} - 69 T^{3} + 529 T^{4} \))(\( 1 - 8 T + 10 T^{2} - 64 T^{3} + 915 T^{4} - 1472 T^{5} + 5290 T^{6} - 97336 T^{7} + 279841 T^{8} \))(\( 1 - 8 T + 10 T^{2} - 64 T^{3} + 915 T^{4} - 1472 T^{5} + 5290 T^{6} - 97336 T^{7} + 279841 T^{8} \))(\( ( 1 + 8 T + 32 T^{2} + 216 T^{3} + 1442 T^{4} + 4968 T^{5} + 16928 T^{6} + 97336 T^{7} + 279841 T^{8} )^{2} \))(\( ( 1 - 8 T + 32 T^{2} + 40 T^{3} - 1852 T^{4} + 9224 T^{5} - 13728 T^{6} - 143976 T^{7} + 1409734 T^{8} - 3311448 T^{9} - 7262112 T^{10} + 112228408 T^{11} - 518265532 T^{12} + 257453720 T^{13} + 4737148448 T^{14} - 27238603576 T^{15} + 78310985281 T^{16} )^{2} \))(\( ( 1 - 4 T + 8 T^{2} - 80 T^{3} - 58 T^{4} + 1396 T^{5} - 1920 T^{6} + 6452 T^{7} + 96123 T^{8} + 148396 T^{9} - 1015680 T^{10} + 16985132 T^{11} - 16230778 T^{12} - 514907440 T^{13} + 1184287112 T^{14} - 13619301788 T^{15} + 78310985281 T^{16} )^{2} \))(\( 1 - 3 T^{2} - 520 T^{4} - 1587 T^{6} + 279841 T^{8} \))(\( 1 + 45 T^{2} + 1496 T^{4} + 23805 T^{6} + 279841 T^{8} \))(\( 1 + 36 T^{2} + 298 T^{4} - 2160 T^{6} + 30579 T^{8} - 1142640 T^{10} + 83392618 T^{12} + 5329292004 T^{14} + 78310985281 T^{16} \))(\( ( 1 + 23 T^{2} + 529 T^{4} )^{4} \))(\( ( 1 + 10 T^{2} - 429 T^{4} + 5290 T^{6} + 279841 T^{8} )^{2} \))(\( 1 + 36 T^{2} + 298 T^{4} - 2160 T^{6} + 30579 T^{8} - 1142640 T^{10} + 83392618 T^{12} + 5329292004 T^{14} + 78310985281 T^{16} \))(\( 1 + 7 T + 12 T^{2} + 35 T^{3} - 129 T^{4} - 4522 T^{5} - 30955 T^{6} - 104006 T^{7} - 68241 T^{8} + 425845 T^{9} + 3358092 T^{10} + 45054401 T^{11} + 148035889 T^{12} \))(\( 1 + 4 T + 21 T^{2} + 188 T^{3} + 1557 T^{4} + 5600 T^{5} + 28337 T^{6} + 128800 T^{7} + 823653 T^{8} + 2287396 T^{9} + 5876661 T^{10} + 25745372 T^{11} + 148035889 T^{12} \))(\( 1 + 11 T + 28 T^{2} - 57 T^{3} + 143 T^{4} + 3766 T^{5} + 18845 T^{6} + 86618 T^{7} + 75647 T^{8} - 693519 T^{9} + 7835548 T^{10} + 70799773 T^{11} + 148035889 T^{12} \))(\( 1 - 8 T + 30 T^{2} + 142 T^{3} - 1444 T^{4} + 8124 T^{5} - 18652 T^{6} - 108152 T^{7} + 1447129 T^{8} - 6833989 T^{9} + 1617222 T^{10} + 108441045 T^{11} - 840401035 T^{12} + 2494144035 T^{13} + 855510438 T^{14} - 83149144163 T^{15} + 404966026489 T^{16} - 696103368136 T^{17} - 2761165401628 T^{18} + 27660801931428 T^{19} - 113081062745764 T^{20} + 255763677927746 T^{21} + 1242795336409470 T^{22} - 7622478063311416 T^{23} + 21914624432020321 T^{24} \))(\( 1 + 4 T + 22 T^{2} + 64 T^{3} + 836 T^{4} + 4266 T^{5} + 17450 T^{6} + 98884 T^{7} + 511161 T^{8} + 3205971 T^{9} + 13280920 T^{10} + 89159141 T^{11} + 397221357 T^{12} + 2050660243 T^{13} + 7025606680 T^{14} + 39007049157 T^{15} + 143043805401 T^{16} + 636451341212 T^{17} + 2583226263050 T^{18} + 14524985356902 T^{19} + 65467983694916 T^{20} + 115273770333632 T^{21} + 911383246700278 T^{22} + 3811239031655708 T^{23} + 21914624432020321 T^{24} \))(\( ( 1 - 4 T + 8 T^{2} + 136 T^{3} - 1150 T^{4} + 4420 T^{5} + 768 T^{6} - 108436 T^{7} + 684243 T^{8} - 2494028 T^{9} + 406272 T^{10} + 53778140 T^{11} - 321817150 T^{12} + 875342648 T^{13} + 1184287112 T^{14} - 13619301788 T^{15} + 78310985281 T^{16} )^{2} \))(\( ( 1 - 8 T + 32 T^{2} + 176 T^{3} - 2146 T^{4} + 11192 T^{5} - 5376 T^{6} - 226280 T^{7} + 1742115 T^{8} - 5204440 T^{9} - 2843904 T^{10} + 136173064 T^{11} - 600538786 T^{12} + 1132796368 T^{13} + 4737148448 T^{14} - 27238603576 T^{15} + 78310985281 T^{16} )^{2} \))(\( 1 + 4 T + 8 T^{2} - 128 T^{3} - 198 T^{4} - 292 T^{5} + 8608 T^{6} + 3564 T^{7} - 17335 T^{8} + 1017836 T^{9} + 5500848 T^{10} - 425132 T^{11} + 20115594 T^{12} + 929862264 T^{13} + 4560471720 T^{14} - 14572270428 T^{15} - 102219015884 T^{16} - 335162219844 T^{17} + 2412489539880 T^{18} + 11313634166088 T^{19} + 5629167940554 T^{20} - 2736295372276 T^{21} + 814322923933872 T^{22} + 3465553913672692 T^{23} - 1357520929846135 T^{24} + 6419308085454132 T^{25} + 356599408527090592 T^{26} - 278220449310866684 T^{27} - 4339095637540023558 T^{28} - 64516654327867825024 T^{29} + 92742690596309998472 T^{30} + \)\(10\!\cdots\!28\)\( T^{31} + \)\(61\!\cdots\!61\)\( T^{32} \))
$29$ (\( 1 - 6 T + 29 T^{2} \))(\( 1 + 3 T + 29 T^{2} \))(\( 1 + 3 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 - 9 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 - 9 T + 29 T^{2} \))(\( 1 + 4 T + 54 T^{2} + 116 T^{3} + 841 T^{4} \))(\( 1 + 4 T + 54 T^{2} + 116 T^{3} + 841 T^{4} \))(\( ( 1 - 4 T + 29 T^{2} )^{2} \))(\( ( 1 - T + 29 T^{2} )^{2} \))(\( ( 1 - T + 29 T^{2} )^{2} \))(\( ( 1 - 4 T + 29 T^{2} )^{2} \))(\( ( 1 + 4 T + 38 T^{2} + 116 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 + 6 T + 29 T^{2} )^{4} \))(\( ( 1 - 4 T + 29 T^{2} )^{4} \))(\( ( 1 + 6 T + 29 T^{2} )^{2} \))(\( ( 1 + 6 T + 29 T^{2} )^{2} \))(\( ( 1 - 6 T + 29 T^{2} )^{2} \))(\( ( 1 - 6 T + 29 T^{2} )^{2} \))(\( ( 1 + 6 T + 29 T^{2} )^{2} \))(\( ( 1 - 9 T + 29 T^{2} )^{2} \))(\( ( 1 - 6 T + 29 T^{2} )^{2} \))(\( ( 1 + 3 T + 29 T^{2} )^{2} \))(\( ( 1 + 4 T + 54 T^{2} + 116 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 + 4 T + 54 T^{2} + 116 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 - 72 T^{2} + 2690 T^{4} - 60552 T^{6} + 707281 T^{8} )^{2} \))(\( ( 1 - 104 T^{2} + 6068 T^{4} - 261240 T^{6} + 8689158 T^{8} - 219702840 T^{10} + 4291781108 T^{12} - 61861625384 T^{14} + 500246412961 T^{16} )^{2} \))(\( ( 1 - 70 T^{2} + 2685 T^{4} - 80906 T^{6} + 2505752 T^{8} - 68041946 T^{10} + 1899049485 T^{12} - 41637632470 T^{14} + 500246412961 T^{16} )^{2} \))(\( ( 1 - 4 T + 29 T^{2} )^{4} \))(\( ( 1 - T + 29 T^{2} )^{4} \))(\( ( 1 + 4 T + 38 T^{2} + 116 T^{3} + 841 T^{4} )^{4} \))(\( ( 1 - 4 T + 29 T^{2} )^{8} \))(\( ( 1 + 6 T + 29 T^{2} )^{8} \))(\( ( 1 + 4 T + 38 T^{2} + 116 T^{3} + 841 T^{4} )^{4} \))(\( 1 - T - 28 T^{2} + 190 T^{3} - 344 T^{4} - 5075 T^{5} + 24795 T^{6} - 147175 T^{7} - 289304 T^{8} + 4633910 T^{9} - 19803868 T^{10} - 20511149 T^{11} + 594823321 T^{12} \))(\( 1 - 3 T - 6 T^{2} - 322 T^{3} + 657 T^{4} - 1579 T^{5} + 68424 T^{6} - 45791 T^{7} + 552537 T^{8} - 7853258 T^{9} - 4243686 T^{10} - 61533447 T^{11} + 594823321 T^{12} \))(\( 1 - 17 T + 120 T^{2} - 448 T^{3} + 2078 T^{4} - 21221 T^{5} + 154279 T^{6} - 615409 T^{7} + 1747598 T^{8} - 10926272 T^{9} + 84873720 T^{10} - 348689533 T^{11} + 594823321 T^{12} \))(\( 1 + 2 T - 62 T^{2} - 296 T^{3} + 381 T^{4} + 10085 T^{5} + 56675 T^{6} - 73216 T^{7} - 1475517 T^{8} + 434715 T^{9} + 21384569 T^{10} - 41710406 T^{11} - 566799497 T^{12} - 1209601774 T^{13} + 17984422529 T^{14} + 10602264135 T^{15} - 1043605139277 T^{16} - 1501744285184 T^{17} + 33711611717675 T^{18} + 173965002576265 T^{19} + 190593883338141 T^{20} - 4294115208857224 T^{21} - 26083848464612462 T^{22} + 24401019531411658 T^{23} + 353814783205469041 T^{24} \))(\( 1 - 2 T - 62 T^{2} + 436 T^{3} + 2341 T^{4} - 25891 T^{5} - 753 T^{6} + 1130384 T^{7} - 3105257 T^{8} - 27991825 T^{9} + 208891343 T^{10} + 385631312 T^{11} - 7078375225 T^{12} + 11183308048 T^{13} + 175677619463 T^{14} - 682692619925 T^{15} - 2196289276217 T^{16} + 23185474651216 T^{17} - 447901960713 T^{18} - 446616547516319 T^{19} + 1171076852741701 T^{20} + 6325115645478884 T^{21} - 26083848464612462 T^{22} - 24401019531411658 T^{23} + 353814783205469041 T^{24} \))(\( ( 1 - 92 T^{2} + 3670 T^{4} - 77372 T^{6} + 707281 T^{8} )^{4} \))(\( ( 1 - 72 T^{2} + 2690 T^{4} - 60552 T^{6} + 707281 T^{8} )^{4} \))(\( ( 1 - 70 T^{2} + 2685 T^{4} - 80906 T^{6} + 2505752 T^{8} - 68041946 T^{10} + 1899049485 T^{12} - 41637632470 T^{14} + 500246412961 T^{16} )^{2} \))
$31$ (\( 1 - 8 T + 31 T^{2} \))(\( 1 + 8 T + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 + 8 T + 31 T^{2} \))(\( 1 - 4 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 + 8 T + 31 T^{2} \))(\( 1 - 4 T + 31 T^{2} \))(\( 1 - 4 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 + 54 T^{2} + 961 T^{4} \))(\( 1 + 54 T^{2} + 961 T^{4} \))(\( ( 1 + 2 T + 31 T^{2} )^{2} \))(\( ( 1 + 10 T + 31 T^{2} )^{2} \))(\( ( 1 - 10 T + 31 T^{2} )^{2} \))(\( ( 1 - 2 T + 31 T^{2} )^{2} \))(\( ( 1 + 8 T + 54 T^{2} + 248 T^{3} + 961 T^{4} )^{2} \))(\( ( 1 - 10 T^{2} + 961 T^{4} )^{2} \))(\( ( 1 + 30 T^{2} + 961 T^{4} )^{2} \))(\( ( 1 - 7 T + 31 T^{2} )( 1 + 11 T + 31 T^{2} ) \))(\( ( 1 - 7 T + 31 T^{2} )( 1 + 11 T + 31 T^{2} ) \))(\( 1 - 8 T + 33 T^{2} - 248 T^{3} + 961 T^{4} \))(\( 1 + 8 T + 33 T^{2} + 248 T^{3} + 961 T^{4} \))(\( ( 1 - 11 T + 31 T^{2} )( 1 + 7 T + 31 T^{2} ) \))(\( ( 1 - 7 T + 31 T^{2} )( 1 + 11 T + 31 T^{2} ) \))(\( 1 - 8 T + 33 T^{2} - 248 T^{3} + 961 T^{4} \))(\( 1 - 8 T + 33 T^{2} - 248 T^{3} + 961 T^{4} \))(\( 1 - 54 T^{2} + 1955 T^{4} - 51894 T^{6} + 923521 T^{8} \))(\( 1 - 54 T^{2} + 1955 T^{4} - 51894 T^{6} + 923521 T^{8} \))(\( ( 1 - 108 T^{2} + 4806 T^{4} - 103788 T^{6} + 923521 T^{8} )^{2} \))(\( ( 1 - 168 T^{2} + 12892 T^{4} - 619672 T^{6} + 21804998 T^{8} - 595504792 T^{10} + 11906032732 T^{12} - 149100618408 T^{14} + 852891037441 T^{16} )^{2} \))(\( ( 1 - 168 T^{2} + 13620 T^{4} - 703224 T^{6} + 25584998 T^{8} - 675798264 T^{10} + 12578356020 T^{12} - 149100618408 T^{14} + 852891037441 T^{16} )^{2} \))(\( ( 1 + 2 T - 27 T^{2} + 62 T^{3} + 961 T^{4} )^{2} \))(\( ( 1 - 10 T + 69 T^{2} - 310 T^{3} + 961 T^{4} )^{2} \))(\( ( 1 + 8 T + 10 T^{2} - 64 T^{3} - 29 T^{4} - 1984 T^{5} + 9610 T^{6} + 238328 T^{7} + 923521 T^{8} )^{2} \))(\( ( 1 - 30 T^{2} - 61 T^{4} - 28830 T^{6} + 923521 T^{8} )^{2} \))(\( ( 1 + 10 T^{2} - 861 T^{4} + 9610 T^{6} + 923521 T^{8} )^{2} \))(\( ( 1 - 8 T + 10 T^{2} + 64 T^{3} - 29 T^{4} + 1984 T^{5} + 9610 T^{6} - 238328 T^{7} + 923521 T^{8} )^{2} \))(\( ( 1 + 3 T + 47 T^{2} + 187 T^{3} + 1457 T^{4} + 2883 T^{5} + 29791 T^{6} )^{2} \))(\( ( 1 - 10 T + 117 T^{2} - 628 T^{3} + 3627 T^{4} - 9610 T^{5} + 29791 T^{6} )^{2} \))(\( ( 1 - 3 T + 75 T^{2} - 173 T^{3} + 2325 T^{4} - 2883 T^{5} + 29791 T^{6} )^{2} \))(\( ( 1 - 3 T + 97 T^{2} - 149 T^{3} + 5182 T^{4} - 7378 T^{5} + 200971 T^{6} - 228718 T^{7} + 4979902 T^{8} - 4438859 T^{9} + 89581537 T^{10} - 85887453 T^{11} + 887503681 T^{12} )^{2} \))(\( ( 1 - T + 75 T^{2} - 93 T^{3} + 3634 T^{4} - 5014 T^{5} + 140237 T^{6} - 155434 T^{7} + 3492274 T^{8} - 2770563 T^{9} + 69264075 T^{10} - 28629151 T^{11} + 887503681 T^{12} )^{2} \))(\( ( 1 + 108 T^{2} + 6858 T^{4} + 311472 T^{6} + 10965011 T^{8} + 299324592 T^{10} + 6333507018 T^{12} + 95850397548 T^{14} + 852891037441 T^{16} )^{2} \))(\( ( 1 + 108 T^{2} + 6858 T^{4} + 311472 T^{6} + 10965011 T^{8} + 299324592 T^{10} + 6333507018 T^{12} + 95850397548 T^{14} + 852891037441 T^{16} )^{2} \))(\( ( 1 + 12 T + 156 T^{2} + 1296 T^{3} + 10686 T^{4} + 72996 T^{5} + 489600 T^{6} + 2919012 T^{7} + 17046947 T^{8} + 90489372 T^{9} + 470505600 T^{10} + 2174623836 T^{11} + 9868745406 T^{12} + 37103379696 T^{13} + 138450574236 T^{14} + 330151369332 T^{15} + 852891037441 T^{16} )^{2} \))
$37$ (\( 1 + 7 T + 37 T^{2} \))(\( 1 + 4 T + 37 T^{2} \))(\( 1 + 4 T + 37 T^{2} \))(\( 1 + 7 T + 37 T^{2} \))(\( 1 + 4 T + 37 T^{2} \))(\( 1 + 10 T + 37 T^{2} \))(\( 1 - 11 T + 37 T^{2} \))(\( 1 + 10 T + 37 T^{2} \))(\( 1 + 10 T + 37 T^{2} \))(\( 1 - 11 T + 37 T^{2} \))(\( 1 + 4 T + 37 T^{2} \))(\( 1 + 4 T + 46 T^{2} + 148 T^{3} + 1369 T^{4} \))(\( 1 + 4 T + 46 T^{2} + 148 T^{3} + 1369 T^{4} \))(\( 1 - 73 T^{2} + 1369 T^{4} \))(\( 1 - 10 T^{2} + 1369 T^{4} \))(\( 1 - 10 T^{2} + 1369 T^{4} \))(\( 1 - 73 T^{2} + 1369 T^{4} \))(\( ( 1 - 12 T + 37 T^{2} )^{2}( 1 + 12 T + 37 T^{2} )^{2} \))(\( ( 1 - 38 T^{2} + 1369 T^{4} )^{2} \))(\( ( 1 - 38 T^{2} + 1369 T^{4} )^{2} \))(\( ( 1 + T + 37 T^{2} )( 1 + 10 T + 37 T^{2} ) \))(\( ( 1 - 11 T + 37 T^{2} )( 1 + T + 37 T^{2} ) \))(\( ( 1 - 11 T + 37 T^{2} )( 1 + T + 37 T^{2} ) \))(\( ( 1 - 11 T + 37 T^{2} )( 1 + T + 37 T^{2} ) \))(\( ( 1 - 11 T + 37 T^{2} )( 1 + T + 37 T^{2} ) \))(\( 1 - 4 T - 21 T^{2} - 148 T^{3} + 1369 T^{4} \))(\( 1 - 7 T + 12 T^{2} - 259 T^{3} + 1369 T^{4} \))(\( 1 - 4 T - 21 T^{2} - 148 T^{3} + 1369 T^{4} \))(\( 1 - 4 T - 30 T^{2} + 112 T^{3} + 155 T^{4} + 4144 T^{5} - 41070 T^{6} - 202612 T^{7} + 1874161 T^{8} \))(\( 1 - 4 T - 30 T^{2} + 112 T^{3} + 155 T^{4} + 4144 T^{5} - 41070 T^{6} - 202612 T^{7} + 1874161 T^{8} \))(\( ( 1 - 8 T + 32 T^{2} - 232 T^{3} + 1618 T^{4} - 8584 T^{5} + 43808 T^{6} - 405224 T^{7} + 1874161 T^{8} )^{2} \))(\( ( 1 + 24 T + 288 T^{2} + 2424 T^{3} + 17796 T^{4} + 126984 T^{5} + 860256 T^{6} + 5295912 T^{7} + 31651814 T^{8} + 195948744 T^{9} + 1177690464 T^{10} + 6432120552 T^{11} + 33352569156 T^{12} + 168089751768 T^{13} + 738929205792 T^{14} + 2278365051192 T^{15} + 3512479453921 T^{16} )^{2} \))(\( ( 1 + 4 T + 8 T^{2} + 136 T^{3} + 2569 T^{4} + 5920 T^{5} + 12376 T^{6} + 210804 T^{7} + 3581856 T^{8} + 7799748 T^{9} + 16942744 T^{10} + 299865760 T^{11} + 4814719609 T^{12} + 9430778152 T^{13} + 20525811272 T^{14} + 379727508532 T^{15} + 3512479453921 T^{16} )^{2} \))(\( ( 1 + 26 T^{2} + 1369 T^{4} )( 1 + 47 T^{2} + 1369 T^{4} ) \))(\( 1 + 10 T^{2} - 1269 T^{4} + 13690 T^{6} + 1874161 T^{8} \))(\( ( 1 - 12 T + 107 T^{2} - 444 T^{3} + 1369 T^{4} )^{2}( 1 + 12 T + 107 T^{2} + 444 T^{3} + 1369 T^{4} )^{2} \))(\( ( 1 + 38 T^{2} + 75 T^{4} + 52022 T^{6} + 1874161 T^{8} )^{2} \))(\( ( 1 + 38 T^{2} + 75 T^{4} + 52022 T^{6} + 1874161 T^{8} )^{2} \))(\( ( 1 - 12 T + 107 T^{2} - 444 T^{3} + 1369 T^{4} )^{2}( 1 + 12 T + 107 T^{2} + 444 T^{3} + 1369 T^{4} )^{2} \))(\( 1 + 4 T - 28 T^{2} - 29 T^{3} + 1151 T^{4} - 3143 T^{5} - 63195 T^{6} - 116291 T^{7} + 1575719 T^{8} - 1468937 T^{9} - 52476508 T^{10} + 277375828 T^{11} + 2565726409 T^{12} \))(\( 1 - 4 T - 21 T^{2} + 232 T^{3} - 151 T^{4} - 7980 T^{5} + 37507 T^{6} - 295260 T^{7} - 206719 T^{8} + 11751496 T^{9} - 39357381 T^{10} - 277375828 T^{11} + 2565726409 T^{12} \))(\( 1 - 4 T + 295 T^{3} + 731 T^{4} - 2163 T^{5} + 65437 T^{6} - 80031 T^{7} + 1000739 T^{8} + 14942635 T^{9} - 277375828 T^{11} + 2565726409 T^{12} \))(\( 1 + 29 T + 443 T^{2} + 5094 T^{3} + 49642 T^{4} + 405611 T^{5} + 2697985 T^{6} + 14411504 T^{7} + 54510580 T^{8} + 13239822 T^{9} - 2078078487 T^{10} - 22193821950 T^{11} - 154904542595 T^{12} - 821171412150 T^{13} - 2844889448703 T^{14} + 670636703766 T^{15} + 102161603123380 T^{16} + 999350713681328 T^{17} + 6922291365585865 T^{18} + 38505413615793263 T^{19} + 174366505051546282 T^{20} + 662025102516122238 T^{21} + 2130202876981107107 T^{22} + 5159611031604351977 T^{23} + 6582952005840035281 T^{24} \))(\( 1 - 7 T + 17 T^{2} + 308 T^{3} - 1598 T^{4} - 9401 T^{5} + 193525 T^{6} - 1116164 T^{7} - 725974 T^{8} + 37332890 T^{9} - 128680891 T^{10} - 1449538580 T^{11} + 14741484373 T^{12} - 53632927460 T^{13} - 176164139779 T^{14} + 1891022877170 T^{15} - 1360592157814 T^{16} - 77399228420948 T^{17} + 496532203301725 T^{18} - 892454576927333 T^{19} - 5612942167365758 T^{20} + 40028215856883716 T^{21} + 81745934331103433 T^{22} - 1245423352456222891 T^{23} + 6582952005840035281 T^{24} \))(\( ( 1 + 16 T + 128 T^{2} - 32 T^{3} - 7922 T^{4} - 73712 T^{5} - 164864 T^{6} + 1735920 T^{7} + 20378835 T^{8} + 64229040 T^{9} - 225698816 T^{10} - 3733733936 T^{11} - 14847103442 T^{12} - 2219006624 T^{13} + 328412980352 T^{14} + 1518910034128 T^{15} + 3512479453921 T^{16} )^{2} \))(\( ( 1 + 8 T + 32 T^{2} - 208 T^{3} - 2450 T^{4} - 9880 T^{5} + 20992 T^{6} + 581688 T^{7} + 3834003 T^{8} + 21522456 T^{9} + 28738048 T^{10} - 500451640 T^{11} - 4591694450 T^{12} - 14423543056 T^{13} + 82103245088 T^{14} + 759455017064 T^{15} + 3512479453921 T^{16} )^{2} \))(\( 1 - 4 T + 8 T^{2} + 240 T^{3} - 3049 T^{4} + 13544 T^{5} - 984 T^{6} - 514972 T^{7} + 3800209 T^{8} - 12256568 T^{9} - 16248928 T^{10} + 295990824 T^{11} + 119383314 T^{12} - 6433305488 T^{13} + 16607500784 T^{14} + 478842888760 T^{15} - 3828375485890 T^{16} + 17717186884120 T^{17} + 22735668573296 T^{18} - 325866222883664 T^{19} + 223743551149554 T^{20} + 20525174971850568 T^{21} - 41690303687539552 T^{22} - 1163539007448259544 T^{23} + 13348156033105669489 T^{24} - 66926657065750392844 T^{25} - 4731647022459163416 T^{26} + \)\(24\!\cdots\!72\)\( T^{27} - \)\(20\!\cdots\!69\)\( T^{28} + \)\(58\!\cdots\!80\)\( T^{29} + \)\(72\!\cdots\!12\)\( T^{30} - \)\(13\!\cdots\!72\)\( T^{31} + \)\(12\!\cdots\!41\)\( T^{32} \))
$41$ (\( 1 - 3 T + 41 T^{2} \))(\( 1 + 9 T + 41 T^{2} \))(\( 1 - 9 T + 41 T^{2} \))(\( 1 + 3 T + 41 T^{2} \))(\( 1 - 7 T + 41 T^{2} \))(\( 1 + 4 T + 41 T^{2} \))(\( 1 - 3 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 - 4 T + 41 T^{2} \))(\( 1 + 3 T + 41 T^{2} \))(\( 1 + 7 T + 41 T^{2} \))(\( 1 + 8 T + 48 T^{2} + 328 T^{3} + 1681 T^{4} \))(\( 1 - 8 T + 48 T^{2} - 328 T^{3} + 1681 T^{4} \))(\( ( 1 - 3 T + 41 T^{2} )^{2} \))(\( ( 1 - 3 T + 41 T^{2} )^{2} \))(\( ( 1 + 3 T + 41 T^{2} )^{2} \))(\( ( 1 + 3 T + 41 T^{2} )^{2} \))(\( ( 1 - 12 T + 94 T^{2} - 492 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 + 10 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 + 80 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 + 3 T + 41 T^{2} )^{2} \))(\( ( 1 - 4 T + 41 T^{2} )^{2} \))(\( ( 1 + 2 T + 41 T^{2} )^{2} \))(\( ( 1 - 2 T + 41 T^{2} )^{2} \))(\( ( 1 + 4 T + 41 T^{2} )^{2} \))(\( ( 1 - 7 T + 41 T^{2} )^{2} \))(\( ( 1 + 3 T + 41 T^{2} )^{2} \))(\( ( 1 + 9 T + 41 T^{2} )^{2} \))(\( ( 1 - 8 T + 48 T^{2} - 328 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 + 8 T + 48 T^{2} + 328 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 - 48 T^{2} + 576 T^{4} - 80688 T^{6} + 2825761 T^{8} )^{2} \))(\( ( 1 - 176 T^{2} + 16288 T^{4} - 1040816 T^{6} + 49394242 T^{8} - 1749611696 T^{10} + 46025995168 T^{12} - 836018346416 T^{14} + 7984925229121 T^{16} )^{2} \))(\( ( 1 - 188 T^{2} + 17802 T^{4} - 1146544 T^{6} + 54447827 T^{8} - 1927340464 T^{10} + 50304197322 T^{12} - 893019597308 T^{14} + 7984925229121 T^{16} )^{2} \))(\( ( 1 + 3 T + 41 T^{2} )^{4} \))(\( ( 1 - 3 T + 41 T^{2} )^{4} \))(\( ( 1 + 12 T + 94 T^{2} + 492 T^{3} + 1681 T^{4} )^{4} \))(\( ( 1 + 80 T^{2} + 1681 T^{4} )^{4} \))(\( ( 1 + 10 T^{2} + 1681 T^{4} )^{4} \))(\( ( 1 - 12 T + 94 T^{2} - 492 T^{3} + 1681 T^{4} )^{4} \))(\( 1 - 2 T - 37 T^{2} - 124 T^{3} + 1765 T^{4} + 1274 T^{5} - 52233 T^{6} + 52234 T^{7} + 2966965 T^{8} - 8546204 T^{9} - 104553157 T^{10} - 231712402 T^{11} + 4750104241 T^{12} \))(\( 1 - 26 T + 215 T^{2} - 72 T^{3} - 4843 T^{4} - 46270 T^{5} + 726559 T^{6} - 1897070 T^{7} - 8141083 T^{8} - 4962312 T^{9} + 607538615 T^{10} - 3012261226 T^{11} + 4750104241 T^{12} \))(\( 1 + 30 T + 439 T^{2} + 4576 T^{3} + 40965 T^{4} + 328202 T^{5} + 2278935 T^{6} + 13456282 T^{7} + 68862165 T^{8} + 315382496 T^{9} + 1240509079 T^{10} + 3475686030 T^{11} + 4750104241 T^{12} \))(\( 1 - 13 T + 106 T^{2} - 1169 T^{3} + 10190 T^{4} - 74463 T^{5} + 615393 T^{6} - 4621215 T^{7} + 32250927 T^{8} - 238182647 T^{9} + 1653156833 T^{10} - 10840670875 T^{11} + 70224630065 T^{12} - 444467505875 T^{13} + 2778956636273 T^{14} - 16415786213887 T^{15} + 91133411730447 T^{16} - 535396413904215 T^{17} + 2923180899181713 T^{18} - 14501987496000903 T^{19} + 81366388084742990 T^{20} - 382709481306540409 T^{21} + 1422801886876154506 T^{22} - 7154277412311229733 T^{23} + 22563490300366186081 T^{24} \))(\( 1 - 13 T + 22 T^{2} + 231 T^{3} + 3610 T^{4} - 62255 T^{5} + 283873 T^{6} + 91045 T^{7} + 980975 T^{8} - 124025639 T^{9} + 1138696313 T^{10} - 2656934839 T^{11} - 7687702167 T^{12} - 108934328399 T^{13} + 1914148502153 T^{14} - 8547971065519 T^{15} + 2772000896975 T^{16} + 10548127820045 T^{17} + 1348426341205393 T^{18} - 12124427320461655 T^{19} + 28825580077126810 T^{20} + 75625226845004991 T^{21} + 295298504823352822 T^{22} - 7154277412311229733 T^{23} + 22563490300366186081 T^{24} \))(\( ( 1 - 148 T^{2} + 8806 T^{4} - 248788 T^{6} + 2825761 T^{8} )^{4} \))(\( ( 1 - 48 T^{2} + 576 T^{4} - 80688 T^{6} + 2825761 T^{8} )^{4} \))(\( ( 1 - 188 T^{2} + 17802 T^{4} - 1146544 T^{6} + 54447827 T^{8} - 1927340464 T^{10} + 50304197322 T^{12} - 893019597308 T^{14} + 7984925229121 T^{16} )^{2} \))
$43$ (\( 1 - 2 T + 43 T^{2} \))(\( 1 + 7 T + 43 T^{2} \))(\( 1 + 7 T + 43 T^{2} \))(\( 1 - 2 T + 43 T^{2} \))(\( 1 + 5 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 + 10 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 + 10 T + 43 T^{2} \))(\( 1 + 5 T + 43 T^{2} \))(\( 1 + 12 T + 114 T^{2} + 516 T^{3} + 1849 T^{4} \))(\( 1 + 12 T + 114 T^{2} + 516 T^{3} + 1849 T^{4} \))(\( 1 - 82 T^{2} + 1849 T^{4} \))(\( 1 - 61 T^{2} + 1849 T^{4} \))(\( 1 - 61 T^{2} + 1849 T^{4} \))(\( 1 - 82 T^{2} + 1849 T^{4} \))(\( 1 - 92 T^{2} + 4278 T^{4} - 170108 T^{6} + 3418801 T^{8} \))(\( ( 1 + 58 T^{2} + 1849 T^{4} )^{2} \))(\( ( 1 + 58 T^{2} + 1849 T^{4} )^{2} \))(\( ( 1 + 10 T + 43 T^{2} )^{2} \))(\( ( 1 - 4 T + 43 T^{2} )^{2} \))(\( ( 1 - 4 T + 43 T^{2} )^{2} \))(\( ( 1 - 4 T + 43 T^{2} )^{2} \))(\( ( 1 - 4 T + 43 T^{2} )^{2} \))(\( ( 1 + 5 T + 43 T^{2} )^{2} \))(\( ( 1 - 2 T + 43 T^{2} )^{2} \))(\( ( 1 + 7 T + 43 T^{2} )^{2} \))(\( ( 1 + 12 T + 114 T^{2} + 516 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 + 12 T + 114 T^{2} + 516 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 + 24 T + 288 T^{2} + 2664 T^{3} + 20018 T^{4} + 114552 T^{5} + 532512 T^{6} + 1908168 T^{7} + 3418801 T^{8} )^{2} \))(\( ( 1 - 8 T + 32 T^{2} - 344 T^{3} + 4580 T^{4} - 20952 T^{5} + 80224 T^{6} - 764744 T^{7} + 7183654 T^{8} - 32883992 T^{9} + 148334176 T^{10} - 1665830664 T^{11} + 15658108580 T^{12} - 50570904392 T^{13} + 202283617568 T^{14} - 2174548888856 T^{15} + 11688200277601 T^{16} )^{2} \))(\( ( 1 + 4 T + 8 T^{2} + 32 T^{3} + 3425 T^{4} + 20696 T^{5} + 55896 T^{6} + 651228 T^{7} + 6527152 T^{8} + 28002804 T^{9} + 103351704 T^{10} + 1645476872 T^{11} + 11709393425 T^{12} + 4704270176 T^{13} + 50570904392 T^{14} + 1087274444428 T^{15} + 11688200277601 T^{16} )^{2} \))(\( ( 1 - 82 T^{2} + 1849 T^{4} )^{2} \))(\( ( 1 - 61 T^{2} + 1849 T^{4} )^{2} \))(\( ( 1 - 92 T^{2} + 4278 T^{4} - 170108 T^{6} + 3418801 T^{8} )^{2} \))(\( ( 1 + 58 T^{2} + 1849 T^{4} )^{4} \))(\( ( 1 + 58 T^{2} + 1849 T^{4} )^{4} \))(\( ( 1 - 92 T^{2} + 4278 T^{4} - 170108 T^{6} + 3418801 T^{8} )^{2} \))(\( 1 - 10 T + 99 T^{2} - 728 T^{3} + 6089 T^{4} - 44874 T^{5} + 374023 T^{6} - 1929582 T^{7} + 11258561 T^{8} - 57881096 T^{9} + 338461299 T^{10} - 1470084430 T^{11} + 6321363049 T^{12} \))(\( 1 - 28 T + 349 T^{2} - 2128 T^{3} - 727 T^{4} + 143276 T^{5} - 1379827 T^{6} + 6160868 T^{7} - 1344223 T^{8} - 169190896 T^{9} + 1193161549 T^{10} - 4116236404 T^{11} + 6321363049 T^{12} \))(\( 1 - 14 T + 69 T^{2} - 154 T^{3} - 895 T^{4} + 31962 T^{5} - 327377 T^{6} + 1374366 T^{7} - 1654855 T^{8} - 12244078 T^{9} + 235897269 T^{10} - 2058118202 T^{11} + 6321363049 T^{12} \))(\( 1 + 22 T + 340 T^{2} + 4320 T^{3} + 48320 T^{4} + 483586 T^{5} + 4416439 T^{6} + 37460238 T^{7} + 298652935 T^{8} + 2254949094 T^{9} + 16265368837 T^{10} + 112524803374 T^{11} + 751124018933 T^{12} + 4838566545082 T^{13} + 30074666979613 T^{14} + 179284237616658 T^{15} + 1021034952830935 T^{16} + 5506971262789434 T^{17} + 27917914302762511 T^{18} + 131447674870789702 T^{19} + 564773837413680320 T^{20} + 2171200083567161760 T^{21} + 7347903986516644660 T^{22} + 20444462268366899554 T^{23} + 39959630797262576401 T^{24} \))(\( 1 - 10 T - 32 T^{2} + 1000 T^{3} - 3556 T^{4} - 41594 T^{5} + 354011 T^{6} + 244374 T^{7} - 14189845 T^{8} + 44011406 T^{9} + 199120953 T^{10} - 1018824030 T^{11} + 651322245 T^{12} - 43809433290 T^{13} + 368174642097 T^{14} + 3499214856842 T^{15} - 48512256275845 T^{16} + 35925041249682 T^{17} + 2237832054339539 T^{18} - 11306023310384558 T^{19} - 41563240187149156 T^{20} + 502592611936843000 T^{21} - 691567434025095968 T^{22} - 9292937394712227070 T^{23} + 39959630797262576401 T^{24} \))(\( ( 1 - 8 T + 32 T^{2} - 344 T^{3} + 1849 T^{4} )^{8} \))(\( ( 1 + 24 T + 288 T^{2} + 2664 T^{3} + 20018 T^{4} + 114552 T^{5} + 532512 T^{6} + 1908168 T^{7} + 3418801 T^{8} )^{4} \))(\( ( 1 + 4 T + 8 T^{2} + 32 T^{3} + 3425 T^{4} + 20696 T^{5} + 55896 T^{6} + 651228 T^{7} + 6527152 T^{8} + 28002804 T^{9} + 103351704 T^{10} + 1645476872 T^{11} + 11709393425 T^{12} + 4704270176 T^{13} + 50570904392 T^{14} + 1087274444428 T^{15} + 11688200277601 T^{16} )^{2} \))
$47$ (\( 1 - 9 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 9 T + 47 T^{2} \))(\( 1 + 8 T + 47 T^{2} \))(\( 1 + 4 T + 47 T^{2} \))(\( 1 - 3 T + 47 T^{2} \))(\( 1 + 8 T + 47 T^{2} \))(\( 1 - 4 T + 47 T^{2} \))(\( 1 + 3 T + 47 T^{2} \))(\( 1 - 8 T + 47 T^{2} \))(\( 1 + 16 T + 150 T^{2} + 752 T^{3} + 2209 T^{4} \))(\( 1 - 16 T + 150 T^{2} - 752 T^{3} + 2209 T^{4} \))(\( 1 - 45 T^{2} + 2209 T^{4} \))(\( 1 - 30 T^{2} + 2209 T^{4} \))(\( 1 - 30 T^{2} + 2209 T^{4} \))(\( 1 - 45 T^{2} + 2209 T^{4} \))(\( 1 - 108 T^{2} + 5798 T^{4} - 238572 T^{6} + 4879681 T^{8} \))(\( ( 1 - 86 T^{2} + 2209 T^{4} )^{2} \))(\( ( 1 - 47 T^{2} )^{4} \))(\( 1 - 3 T - 38 T^{2} - 141 T^{3} + 2209 T^{4} \))(\( 1 + 4 T - 31 T^{2} + 188 T^{3} + 2209 T^{4} \))(\( 1 - 8 T + 17 T^{2} - 376 T^{3} + 2209 T^{4} \))(\( 1 + 8 T + 17 T^{2} + 376 T^{3} + 2209 T^{4} \))(\( 1 - 4 T - 31 T^{2} - 188 T^{3} + 2209 T^{4} \))(\( 1 - 8 T + 17 T^{2} - 376 T^{3} + 2209 T^{4} \))(\( 1 - 9 T + 34 T^{2} - 423 T^{3} + 2209 T^{4} \))(\( 1 - 47 T^{2} + 2209 T^{4} \))(\( 1 + 16 T + 106 T^{2} + 896 T^{3} + 8259 T^{4} + 42112 T^{5} + 234154 T^{6} + 1661168 T^{7} + 4879681 T^{8} \))(\( 1 - 16 T + 106 T^{2} - 896 T^{3} + 8259 T^{4} - 42112 T^{5} + 234154 T^{6} - 1661168 T^{7} + 4879681 T^{8} \))(\( 1 - 2940 T^{4} + 11547014 T^{8} - 14346262140 T^{12} + 23811286661761 T^{16} \))(\( 1 - 6264 T^{4} + 10134556 T^{8} + 25561183928 T^{12} - 123500933169850 T^{16} + 124730423550966968 T^{20} + \)\(24\!\cdots\!16\)\( T^{24} - \)\(72\!\cdots\!24\)\( T^{28} + \)\(56\!\cdots\!21\)\( T^{32} \))(\( 1 + 2626 T^{4} + 11315169 T^{8} + 37752482306 T^{12} + 67553145100100 T^{16} + 184220070611424386 T^{20} + \)\(26\!\cdots\!09\)\( T^{24} + \)\(30\!\cdots\!66\)\( T^{28} + \)\(56\!\cdots\!21\)\( T^{32} \))(\( 1 + 45 T^{2} - 184 T^{4} + 99405 T^{6} + 4879681 T^{8} \))(\( 1 + 30 T^{2} - 1309 T^{4} + 66270 T^{6} + 4879681 T^{8} \))(\( 1 + 108 T^{2} + 5866 T^{4} + 149040 T^{6} + 2971347 T^{8} + 329229360 T^{10} + 28624208746 T^{12} + 1164155255532 T^{14} + 23811286661761 T^{16} \))(\( ( 1 + 47 T^{2} + 2209 T^{4} )^{4} \))(\( ( 1 + 86 T^{2} + 5187 T^{4} + 189974 T^{6} + 4879681 T^{8} )^{2} \))(\( 1 + 108 T^{2} + 5866 T^{4} + 149040 T^{6} + 2971347 T^{8} + 329229360 T^{10} + 28624208746 T^{12} + 1164155255532 T^{14} + 23811286661761 T^{16} \))(\( 1 + 34 T + 472 T^{2} + 3327 T^{3} + 9545 T^{4} - 44695 T^{5} - 629173 T^{6} - 2100665 T^{7} + 21084905 T^{8} + 345419121 T^{9} + 2303209432 T^{10} + 7797730238 T^{11} + 10779215329 T^{12} \))(\( 1 - 14 T + 23 T^{2} + 1092 T^{3} - 7843 T^{4} - 36106 T^{5} + 646423 T^{6} - 1696982 T^{7} - 17325187 T^{8} + 113374716 T^{9} + 112232663 T^{10} - 3210830098 T^{11} + 10779215329 T^{12} \))(\( 1 - 14 T + 100 T^{2} - 1113 T^{3} + 10245 T^{4} - 66983 T^{5} + 448995 T^{6} - 3148201 T^{7} + 22631205 T^{8} - 115554999 T^{9} + 487968100 T^{10} - 3210830098 T^{11} + 10779215329 T^{12} \))(\( 1 + 8 T - 46 T^{2} - 963 T^{3} - 3077 T^{4} + 19627 T^{5} + 281562 T^{6} + 1499989 T^{7} - 5811029 T^{8} - 142580868 T^{9} - 587997713 T^{10} + 4039280681 T^{11} + 54469573295 T^{12} + 189846192007 T^{13} - 1298886948017 T^{14} - 14803173458364 T^{15} - 28355967801749 T^{16} + 344014987704923 T^{17} + 3035017426463898 T^{18} + 9943491985327301 T^{19} - 73267329058238597 T^{20} - 1077722645597964621 T^{21} - 2419560082848182254 T^{22} + 19777273720672098424 T^{23} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 + 52 T + 1150 T^{2} + 13447 T^{3} + 79715 T^{4} + 143347 T^{5} + 315660 T^{6} + 23622923 T^{7} + 255674605 T^{8} + 1027178022 T^{9} + 4188624107 T^{10} + 83582596025 T^{11} + 874882213515 T^{12} + 3928382013175 T^{13} + 9252670652363 T^{14} + 106644703778106 T^{15} + 1247610512201005 T^{16} + 5417799440795461 T^{17} + 3402567110752140 T^{18} + 72622904449009661 T^{19} + 1898116716242278115 T^{20} + 15048947471812907849 T^{21} + 60489002071204556350 T^{22} + \)\(12\!\cdots\!56\)\( T^{23} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 - 6020 T^{4} + 18367626 T^{8} - 48842740240 T^{12} + 118783172480915 T^{16} - 238336991537063440 T^{20} + \)\(43\!\cdots\!86\)\( T^{24} - \)\(69\!\cdots\!20\)\( T^{28} + \)\(56\!\cdots\!21\)\( T^{32} \))(\( 1 + 2940 T^{4} - 2903414 T^{8} + 5255696880 T^{12} + 67344234962835 T^{16} + 25646124207095280 T^{20} - 69134023051770152054 T^{24} + \)\(34\!\cdots\!40\)\( T^{28} + \)\(56\!\cdots\!21\)\( T^{32} \))(\( 1 + 12 T + 72 T^{2} + 288 T^{3} - 449 T^{4} - 2880 T^{5} + 39240 T^{6} + 500820 T^{7} + 44673 T^{8} - 37644384 T^{9} - 288946944 T^{10} - 1723474464 T^{11} + 9984376994 T^{12} + 179746348152 T^{13} + 1044056404368 T^{14} + 4096130163936 T^{15} + 8350203627806 T^{16} + 192518117704992 T^{17} + 2306320597248912 T^{18} + 18661805104185096 T^{19} + 48720574714458914 T^{20} - 395270263010401248 T^{21} - 3114621328032504576 T^{22} - 19071515289987429792 T^{23} + 1063721609040849153 T^{24} + \)\(56\!\cdots\!40\)\( T^{25} + \)\(20\!\cdots\!60\)\( T^{26} - \)\(71\!\cdots\!40\)\( T^{27} - \)\(52\!\cdots\!09\)\( T^{28} + \)\(15\!\cdots\!76\)\( T^{29} + \)\(18\!\cdots\!68\)\( T^{30} + \)\(14\!\cdots\!16\)\( T^{31} + \)\(56\!\cdots\!21\)\( T^{32} \))
$53$ (\( 1 - 9 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - 9 T + 53 T^{2} \))(\( 1 + 2 T + 53 T^{2} \))(\( 1 - 10 T + 53 T^{2} \))(\( 1 - 3 T + 53 T^{2} \))(\( 1 + 2 T + 53 T^{2} \))(\( 1 - 10 T + 53 T^{2} \))(\( 1 - 3 T + 53 T^{2} \))(\( 1 + 2 T + 53 T^{2} \))(\( 1 + 4 T + 38 T^{2} + 212 T^{3} + 2809 T^{4} \))(\( 1 + 4 T + 38 T^{2} + 212 T^{3} + 2809 T^{4} \))(\( 1 - 25 T^{2} + 2809 T^{4} \))(\( 1 - 70 T^{2} + 2809 T^{4} \))(\( 1 - 70 T^{2} + 2809 T^{4} \))(\( 1 - 25 T^{2} + 2809 T^{4} \))(\( 1 - 92 T^{2} + 4278 T^{4} - 258428 T^{6} + 7890481 T^{8} \))(\( ( 1 - 70 T^{2} + 2809 T^{4} )^{2} \))(\( ( 1 + 38 T^{2} + 2809 T^{4} )^{2} \))(\( 1 + 3 T - 44 T^{2} + 159 T^{3} + 2809 T^{4} \))(\( 1 + 10 T + 47 T^{2} + 530 T^{3} + 2809 T^{4} \))(\( 1 - 2 T - 49 T^{2} - 106 T^{3} + 2809 T^{4} \))(\( 1 - 2 T - 49 T^{2} - 106 T^{3} + 2809 T^{4} \))(\( 1 + 10 T + 47 T^{2} + 530 T^{3} + 2809 T^{4} \))(\( 1 - 2 T - 49 T^{2} - 106 T^{3} + 2809 T^{4} \))(\( 1 + 9 T + 28 T^{2} + 477 T^{3} + 2809 T^{4} \))(\( 1 - 6 T - 17 T^{2} - 318 T^{3} + 2809 T^{4} \))(\( 1 - 4 T - 22 T^{2} + 272 T^{3} - 2213 T^{4} + 14416 T^{5} - 61798 T^{6} - 595508 T^{7} + 7890481 T^{8} \))(\( 1 - 4 T - 22 T^{2} + 272 T^{3} - 2213 T^{4} + 14416 T^{5} - 61798 T^{6} - 595508 T^{7} + 7890481 T^{8} \))(\( ( 1 + 4 T + 8 T^{2} + 76 T^{3} - 434 T^{4} + 4028 T^{5} + 22472 T^{6} + 595508 T^{7} + 7890481 T^{8} )^{2} \))(\( ( 1 - 16 T + 128 T^{2} - 1376 T^{3} + 19180 T^{4} - 160000 T^{5} + 1051648 T^{6} - 9733584 T^{7} + 88459398 T^{8} - 515879952 T^{9} + 2954079232 T^{10} - 23820320000 T^{11} + 151339425580 T^{12} - 575436998368 T^{13} + 2837038224512 T^{14} - 18795378237392 T^{15} + 62259690411361 T^{16} )^{2} \))(\( ( 1 - 28 T + 392 T^{2} - 4584 T^{3} + 50633 T^{4} - 470816 T^{5} + 3841240 T^{6} - 30898524 T^{7} + 237353440 T^{8} - 1637621772 T^{9} + 10790043160 T^{10} - 70093673632 T^{11} + 399518724473 T^{12} - 1917008139912 T^{13} + 8688429562568 T^{14} - 32891911915436 T^{15} + 62259690411361 T^{16} )^{2} \))(\( 1 + 25 T^{2} - 2184 T^{4} + 70225 T^{6} + 7890481 T^{8} \))(\( 1 + 70 T^{2} + 2091 T^{4} + 196630 T^{6} + 7890481 T^{8} \))(\( 1 + 92 T^{2} + 4186 T^{4} - 123280 T^{6} - 13364573 T^{8} - 346293520 T^{10} + 33029553466 T^{12} + 2039121223868 T^{14} + 62259690411361 T^{16} \))(\( ( 1 - 38 T^{2} - 1365 T^{4} - 106742 T^{6} + 7890481 T^{8} )^{2} \))(\( ( 1 + 70 T^{2} + 2091 T^{4} + 196630 T^{6} + 7890481 T^{8} )^{2} \))(\( 1 + 92 T^{2} + 4186 T^{4} - 123280 T^{6} - 13364573 T^{8} - 346293520 T^{10} + 33029553466 T^{12} + 2039121223868 T^{14} + 62259690411361 T^{16} \))(\( 1 + 33 T + 448 T^{2} + 3088 T^{3} + 6081 T^{4} - 112441 T^{5} - 1363620 T^{6} - 5959373 T^{7} + 17081529 T^{8} + 459732176 T^{9} + 3534935488 T^{10} + 13800451269 T^{11} + 22164361129 T^{12} \))(\( 1 + 8 T + 67 T^{2} + 462 T^{3} + 2385 T^{4} + 14222 T^{5} - 33909 T^{6} + 753766 T^{7} + 6699465 T^{8} + 68781174 T^{9} + 528662227 T^{10} + 3345563944 T^{11} + 22164361129 T^{12} \))(\( 1 + T + 32 T^{2} - 28 T^{3} + 4681 T^{4} + 2819 T^{5} + 100428 T^{6} + 149407 T^{7} + 13148929 T^{8} - 4168556 T^{9} + 252495392 T^{10} + 418195493 T^{11} + 22164361129 T^{12} \))(\( 1 - 22 T + 68 T^{2} + 2059 T^{3} - 23569 T^{4} + 81445 T^{5} + 349580 T^{6} - 7973701 T^{7} + 90774475 T^{8} - 607231462 T^{9} + 197726563 T^{10} + 35382767707 T^{11} - 363883170763 T^{12} + 1875286688471 T^{13} + 555413915467 T^{14} - 90402798368174 T^{15} + 716254270272475 T^{16} - 3334565820729593 T^{17} + 7748217363475820 T^{18} + 95674348784024465 T^{19} - 1467398643305367409 T^{20} + 6794213235520591847 T^{21} + 11892347984854887332 T^{22} - \)\(20\!\cdots\!34\)\( T^{23} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 + 4 T + 102 T^{2} - 191 T^{3} - 1989 T^{4} - 76399 T^{5} - 407502 T^{6} - 2659915 T^{7} + 5012395 T^{8} + 88842804 T^{9} + 1089436739 T^{10} + 3063425843 T^{11} + 38314670445 T^{12} + 162361569679 T^{13} + 3060227799851 T^{14} + 13226650131108 T^{15} + 39550207511995 T^{16} - 1112364464763095 T^{17} - 9032021488789758 T^{18} - 89746756372406963 T^{19} - 123834524228197029 T^{20} - 630254846034207403 T^{21} + 17838521977282330998 T^{22} + 37076143717488766388 T^{23} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( ( 1 - 16 T + 128 T^{2} - 480 T^{3} - 946 T^{4} + 11248 T^{5} + 56320 T^{6} - 1249776 T^{7} + 12640915 T^{8} - 66238128 T^{9} + 158202880 T^{10} + 1674568496 T^{11} - 7464395026 T^{12} - 200733836640 T^{13} + 2837038224512 T^{14} - 18795378237392 T^{15} + 62259690411361 T^{16} )^{2} \))(\( ( 1 - 4 T + 8 T^{2} + 120 T^{3} + 194 T^{4} - 8108 T^{5} + 38080 T^{6} - 587964 T^{7} - 3423965 T^{8} - 31162092 T^{9} + 106966720 T^{10} - 1207094716 T^{11} + 1530753314 T^{12} + 50183459160 T^{13} + 177314889032 T^{14} - 4698844559348 T^{15} + 62259690411361 T^{16} )^{2} \))(\( 1 + 28 T + 392 T^{2} + 1808 T^{3} - 25321 T^{4} - 567704 T^{5} - 4335448 T^{6} + 1435172 T^{7} + 392677969 T^{8} + 4105212392 T^{9} + 14977011104 T^{10} - 124625519288 T^{11} - 2189877391278 T^{12} - 14281594759536 T^{13} - 14623477702416 T^{14} + 648224117593688 T^{15} + 7103959219709822 T^{16} + 34355878232465464 T^{17} - 41077348866086544 T^{18} - 2126200983015441072 T^{19} - 17279185948208624718 T^{20} - 52117830479026168984 T^{21} + \)\(33\!\cdots\!16\)\( T^{22} + \)\(48\!\cdots\!04\)\( T^{23} + \)\(24\!\cdots\!09\)\( T^{24} + \)\(47\!\cdots\!76\)\( T^{25} - \)\(75\!\cdots\!52\)\( T^{26} - \)\(52\!\cdots\!88\)\( T^{27} - \)\(12\!\cdots\!61\)\( T^{28} + \)\(47\!\cdots\!84\)\( T^{29} + \)\(54\!\cdots\!48\)\( T^{30} + \)\(20\!\cdots\!96\)\( T^{31} + \)\(38\!\cdots\!21\)\( T^{32} \))
$59$ (\( 1 + 59 T^{2} \))(\( 1 - 6 T + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 + 10 T + 59 T^{2} \))(\( 1 - 14 T + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 - 8 T + 59 T^{2} \))(\( 1 + 14 T + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 - 10 T + 59 T^{2} \))(\( 1 + 20 T + 216 T^{2} + 1180 T^{3} + 3481 T^{4} \))(\( 1 - 20 T + 216 T^{2} - 1180 T^{3} + 3481 T^{4} \))(\( ( 1 - 4 T + 59 T^{2} )^{2} \))(\( ( 1 - 2 T + 59 T^{2} )^{2} \))(\( ( 1 + 2 T + 59 T^{2} )^{2} \))(\( ( 1 + 4 T + 59 T^{2} )^{2} \))(\( ( 1 + 8 T + 128 T^{2} + 472 T^{3} + 3481 T^{4} )^{2} \))(\( ( 1 + 100 T^{2} + 3481 T^{4} )^{2} \))(\( ( 1 - 10 T^{2} + 3481 T^{4} )^{2} \))(\( 1 - 59 T^{2} + 3481 T^{4} \))(\( 1 - 14 T + 137 T^{2} - 826 T^{3} + 3481 T^{4} \))(\( 1 + 8 T + 5 T^{2} + 472 T^{3} + 3481 T^{4} \))(\( 1 - 8 T + 5 T^{2} - 472 T^{3} + 3481 T^{4} \))(\( 1 + 14 T + 137 T^{2} + 826 T^{3} + 3481 T^{4} \))(\( 1 - 10 T + 41 T^{2} - 590 T^{3} + 3481 T^{4} \))(\( 1 - 59 T^{2} + 3481 T^{4} \))(\( 1 + 6 T - 23 T^{2} + 354 T^{3} + 3481 T^{4} \))(\( 1 + 20 T + 184 T^{2} + 1960 T^{3} + 19575 T^{4} + 115640 T^{5} + 640504 T^{6} + 4107580 T^{7} + 12117361 T^{8} \))(\( 1 - 20 T + 184 T^{2} - 1960 T^{3} + 19575 T^{4} - 115640 T^{5} + 640504 T^{6} - 4107580 T^{7} + 12117361 T^{8} \))(\( ( 1 + 164 T^{2} + 13038 T^{4} + 570884 T^{6} + 12117361 T^{8} )^{2} \))(\( ( 1 + 96 T^{2} + 11588 T^{4} + 752576 T^{6} + 59422422 T^{8} + 2619717056 T^{10} + 140415979268 T^{12} + 4049331229536 T^{14} + 146830437604321 T^{16} )^{2} \))(\( ( 1 + 320 T^{2} + 48156 T^{4} + 4600000 T^{6} + 314762150 T^{8} + 16012600000 T^{10} + 583523636316 T^{12} + 13497770765120 T^{14} + 146830437604321 T^{16} )^{2} \))(\( ( 1 - 4 T - 43 T^{2} - 236 T^{3} + 3481 T^{4} )^{2} \))(\( ( 1 + 2 T - 55 T^{2} + 118 T^{3} + 3481 T^{4} )^{2} \))(\( ( 1 + 8 T - 64 T^{2} + 80 T^{3} + 9127 T^{4} + 4720 T^{5} - 222784 T^{6} + 1643032 T^{7} + 12117361 T^{8} )^{2} \))(\( ( 1 - 18 T + 167 T^{2} - 1062 T^{3} + 3481 T^{4} )^{2}( 1 + 18 T + 167 T^{2} + 1062 T^{3} + 3481 T^{4} )^{2} \))(\( ( 1 - 100 T^{2} + 6519 T^{4} - 348100 T^{6} + 12117361 T^{8} )^{2} \))(\( ( 1 - 8 T - 64 T^{2} - 80 T^{3} + 9127 T^{4} - 4720 T^{5} - 222784 T^{6} - 1643032 T^{7} + 12117361 T^{8} )^{2} \))(\( 1 + 22 T + 110 T^{2} - 999 T^{3} - 10653 T^{4} + 25335 T^{5} + 744631 T^{6} + 1494765 T^{7} - 37083093 T^{8} - 205173621 T^{9} + 1332909710 T^{10} + 15728334578 T^{11} + 42180533641 T^{12} \))(\( 1 - 6 T + 33 T^{2} - 68 T^{3} + 4173 T^{4} - 9686 T^{5} + 29637 T^{6} - 571474 T^{7} + 14526213 T^{8} - 13965772 T^{9} + 399872913 T^{10} - 4289545794 T^{11} + 42180533641 T^{12} \))(\( 1 + 22 T + 362 T^{2} + 4797 T^{3} + 50471 T^{4} + 466979 T^{5} + 3849775 T^{6} + 27551761 T^{7} + 175689551 T^{8} + 985203063 T^{9} + 4386484682 T^{10} + 15728334578 T^{11} + 42180533641 T^{12} \))(\( 1 - 28 T + 442 T^{2} - 6244 T^{3} + 83180 T^{4} - 975926 T^{5} + 10592159 T^{6} - 109514356 T^{7} + 1054913327 T^{8} - 9610424600 T^{9} + 84036395021 T^{10} - 692132480438 T^{11} + 5408574580773 T^{12} - 40835816345842 T^{13} + 292530691068101 T^{14} - 1973779393923400 T^{15} + 12782765606970047 T^{16} - 78294474193736444 T^{17} + 446782919030320919 T^{18} - 2428739688973467394 T^{19} + 12213355799927420780 T^{20} - 54091745891681439116 T^{21} + \)\(22\!\cdots\!42\)\( T^{22} - \)\(84\!\cdots\!52\)\( T^{23} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 + 8 T^{2} + 9386 T^{4} + 382673 T^{6} + 33847477 T^{8} + 3469256159 T^{10} + 91951835633 T^{12} + 12076480689479 T^{14} + 410142097748197 T^{16} + 16141351350002393 T^{18} + 1378150487354156906 T^{20} + 4088934026405131208 T^{22} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( ( 1 - 136 T^{2} + 8160 T^{4} - 458864 T^{6} + 30330959 T^{8} - 1597305584 T^{10} + 98877665760 T^{12} - 5736552575176 T^{14} + 146830437604321 T^{16} )^{2} \))(\( ( 1 - 164 T^{2} + 13858 T^{4} - 996464 T^{6} + 64247107 T^{8} - 3468691184 T^{10} + 167922388738 T^{12} - 6917607517124 T^{14} + 146830437604321 T^{16} )^{2} \))(\( 1 - 320 T^{2} + 54244 T^{4} - 6209920 T^{6} + 532238186 T^{8} - 36082424000 T^{10} + 2045329177232 T^{12} - 105925693186240 T^{14} + 5808829694261683 T^{16} - 368727337981301440 T^{18} + 24783992004353124752 T^{20} - \)\(15\!\cdots\!00\)\( T^{22} + \)\(78\!\cdots\!06\)\( T^{24} - \)\(31\!\cdots\!20\)\( T^{26} + \)\(96\!\cdots\!64\)\( T^{28} - \)\(19\!\cdots\!20\)\( T^{30} + \)\(21\!\cdots\!41\)\( T^{32} \))
$61$ (\( 1 - 8 T + 61 T^{2} \))(\( 1 + 5 T + 61 T^{2} \))(\( 1 - 5 T + 61 T^{2} \))(\( 1 + 8 T + 61 T^{2} \))(\( 1 + T + 61 T^{2} \))(\( 1 - 10 T + 61 T^{2} \))(\( 1 + 4 T + 61 T^{2} \))(\( 1 - 14 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 - 4 T + 61 T^{2} \))(\( 1 - T + 61 T^{2} \))(\( 1 - 4 T - 2 T^{2} - 244 T^{3} + 3721 T^{4} \))(\( 1 + 4 T - 2 T^{2} + 244 T^{3} + 3721 T^{4} \))(\( ( 1 - 6 T + 61 T^{2} )^{2} \))(\( ( 1 - 9 T + 61 T^{2} )^{2} \))(\( ( 1 + 9 T + 61 T^{2} )^{2} \))(\( ( 1 + 6 T + 61 T^{2} )^{2} \))(\( ( 1 + 12 T + 152 T^{2} + 732 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 + 104 T^{2} + 3721 T^{4} )^{2} \))(\( ( 1 + 72 T^{2} + 3721 T^{4} )^{2} \))(\( 1 + 4 T - 45 T^{2} + 244 T^{3} + 3721 T^{4} \))(\( 1 - 10 T + 39 T^{2} - 610 T^{3} + 3721 T^{4} \))(\( ( 1 + T + 61 T^{2} )( 1 + 13 T + 61 T^{2} ) \))(\( ( 1 - 13 T + 61 T^{2} )( 1 - T + 61 T^{2} ) \))(\( 1 + 10 T + 39 T^{2} + 610 T^{3} + 3721 T^{4} \))(\( ( 1 - 14 T + 61 T^{2} )( 1 + 13 T + 61 T^{2} ) \))(\( 1 - 8 T + 3 T^{2} - 488 T^{3} + 3721 T^{4} \))(\( 1 - 5 T - 36 T^{2} - 305 T^{3} + 3721 T^{4} \))(\( 1 - 4 T + 18 T^{2} + 496 T^{3} - 4693 T^{4} + 30256 T^{5} + 66978 T^{6} - 907924 T^{7} + 13845841 T^{8} \))(\( 1 + 4 T + 18 T^{2} - 496 T^{3} - 4693 T^{4} - 30256 T^{5} + 66978 T^{6} + 907924 T^{7} + 13845841 T^{8} \))(\( ( 1 - 192 T^{2} + 16560 T^{4} - 714432 T^{6} + 13845841 T^{8} )^{2} \))(\( ( 1 - 240 T^{2} + 25312 T^{4} - 1743472 T^{6} + 105599714 T^{8} - 6487459312 T^{10} + 350465927392 T^{12} - 12364889846640 T^{14} + 191707312997281 T^{16} )^{2} \))(\( ( 1 - 378 T^{2} + 67917 T^{4} - 7492902 T^{6} + 552750680 T^{8} - 27881088342 T^{10} + 940367983197 T^{12} - 19474701508458 T^{14} + 191707312997281 T^{16} )^{2} \))(\( ( 1 - 6 T - 25 T^{2} - 366 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 + 9 T + 20 T^{2} + 549 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 + 12 T - 8 T^{2} + 360 T^{3} + 10599 T^{4} + 21960 T^{5} - 29768 T^{6} + 2723772 T^{7} + 13845841 T^{8} )^{2} \))(\( ( 1 - 72 T^{2} + 1463 T^{4} - 267912 T^{6} + 13845841 T^{8} )^{2} \))(\( ( 1 - 104 T^{2} + 7095 T^{4} - 386984 T^{6} + 13845841 T^{8} )^{2} \))(\( ( 1 - 12 T - 8 T^{2} - 360 T^{3} + 10599 T^{4} - 21960 T^{5} - 29768 T^{6} - 2723772 T^{7} + 13845841 T^{8} )^{2} \))(\( 1 - 7 T + 16 T^{2} - 1022 T^{3} + 5177 T^{4} - 33131 T^{5} + 693708 T^{6} - 2020991 T^{7} + 19263617 T^{8} - 231974582 T^{9} + 221533456 T^{10} - 5912174107 T^{11} + 51520374361 T^{12} \))(\( 1 - 30 T + 419 T^{2} - 3936 T^{3} + 27757 T^{4} - 140106 T^{5} + 725171 T^{6} - 8546466 T^{7} + 103283797 T^{8} - 893397216 T^{9} + 5801407379 T^{10} - 25337889030 T^{11} + 51520374361 T^{12} \))(\( 1 + 33 T + 398 T^{2} + 1426 T^{3} - 13375 T^{4} - 191731 T^{5} - 1502208 T^{6} - 11695591 T^{7} - 49768375 T^{8} + 323674906 T^{9} + 5510644718 T^{10} + 27871677933 T^{11} + 51520374361 T^{12} \))(\( 1 + T - 53 T^{2} + 584 T^{3} + 1886 T^{4} - 63043 T^{5} - 66765 T^{6} + 5428312 T^{7} - 23241064 T^{8} - 270519126 T^{9} + 3036594251 T^{10} + 4215680184 T^{11} - 193349134527 T^{12} + 257156491224 T^{13} + 11299167207971 T^{14} - 61402701738606 T^{15} - 321792076814824 T^{16} + 4584732235873912 T^{17} - 3439757794212165 T^{18} - 198127936611271903 T^{19} + 361559992312871966 T^{20} + 6829381318215138344 T^{21} - 37807174318132777853 T^{22} + 43513917611435838661 T^{23} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( 1 + 19 T + 217 T^{2} + 2966 T^{3} + 38408 T^{4} + 405395 T^{5} + 3895999 T^{6} + 38864686 T^{7} + 377298052 T^{8} + 3311203724 T^{9} + 27493385949 T^{10} + 233325037210 T^{11} + 1924596624997 T^{12} + 14232827269810 T^{13} + 102302889116229 T^{14} + 751580332477244 T^{15} + 5224008837601732 T^{16} + 32824970035126486 T^{17} + 200723326990081639 T^{18} + 1274052232008733295 T^{19} + 7363094477599568648 T^{20} + 34684837311346062206 T^{21} + \)\(15\!\cdots\!17\)\( T^{22} + \)\(82\!\cdots\!59\)\( T^{23} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( ( 1 + 96 T^{2} + 528 T^{4} + 119616 T^{6} + 27342767 T^{8} + 445091136 T^{10} + 7310604048 T^{12} + 4945955938656 T^{14} + 191707312997281 T^{16} )^{2} \))(\( ( 1 + 192 T^{2} + 20304 T^{4} + 1750656 T^{6} + 123216815 T^{8} + 6514190976 T^{10} + 281125955664 T^{12} + 9891911877312 T^{14} + 191707312997281 T^{16} )^{2} \))(\( ( 1 - 6 T + 207 T^{2} - 1170 T^{3} + 23079 T^{4} - 119796 T^{5} + 1969284 T^{6} - 9244740 T^{7} + 135493478 T^{8} - 563929140 T^{9} + 7327705764 T^{10} - 27191415876 T^{11} + 319548164439 T^{12} - 988177672170 T^{13} + 10664717492727 T^{14} - 18856457016126 T^{15} + 191707312997281 T^{16} )^{2} \))
$67$ (\( 1 - 8 T + 67 T^{2} \))(\( 1 - 5 T + 67 T^{2} \))(\( 1 - 5 T + 67 T^{2} \))(\( 1 - 8 T + 67 T^{2} \))(\( 1 + 9 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 + 12 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 + 9 T + 67 T^{2} \))(\( 1 + 8 T + 118 T^{2} + 536 T^{3} + 4489 T^{4} \))(\( 1 + 8 T + 118 T^{2} + 536 T^{3} + 4489 T^{4} \))(\( 1 - 130 T^{2} + 4489 T^{4} \))(\( 1 - 85 T^{2} + 4489 T^{4} \))(\( 1 - 85 T^{2} + 4489 T^{4} \))(\( 1 - 130 T^{2} + 4489 T^{4} \))(\( ( 1 - 70 T^{2} + 4489 T^{4} )^{2} \))(\( ( 1 - 67 T^{2} )^{4} \))(\( ( 1 + 10 T^{2} + 4489 T^{4} )^{2} \))(\( 1 - 4 T - 51 T^{2} - 268 T^{3} + 4489 T^{4} \))(\( 1 - 4 T - 51 T^{2} - 268 T^{3} + 4489 T^{4} \))(\( 1 - 12 T + 77 T^{2} - 804 T^{3} + 4489 T^{4} \))(\( 1 - 12 T + 77 T^{2} - 804 T^{3} + 4489 T^{4} \))(\( 1 - 4 T - 51 T^{2} - 268 T^{3} + 4489 T^{4} \))(\( 1 - 9 T + 14 T^{2} - 603 T^{3} + 4489 T^{4} \))(\( 1 + 8 T - 3 T^{2} + 536 T^{3} + 4489 T^{4} \))(\( ( 1 - 11 T + 67 T^{2} )( 1 + 16 T + 67 T^{2} ) \))(\( 1 - 8 T - 54 T^{2} + 128 T^{3} + 5147 T^{4} + 8576 T^{5} - 242406 T^{6} - 2406104 T^{7} + 20151121 T^{8} \))(\( 1 - 8 T - 54 T^{2} + 128 T^{3} + 5147 T^{4} + 8576 T^{5} - 242406 T^{6} - 2406104 T^{7} + 20151121 T^{8} \))(\( ( 1 - 12 T + 72 T^{2} - 804 T^{3} + 4489 T^{4} )^{4} \))(\( ( 1 - 8 T + 32 T^{2} - 536 T^{3} + 12228 T^{4} - 61400 T^{5} + 243552 T^{6} - 3988872 T^{7} + 65299750 T^{8} - 267254424 T^{9} + 1093304928 T^{10} - 18466848200 T^{11} + 246407907588 T^{12} - 723667057352 T^{13} + 2894668229408 T^{14} - 48485692842584 T^{15} + 406067677556641 T^{16} )^{2} \))(\( ( 1 + 32 T + 512 T^{2} + 6244 T^{3} + 72845 T^{4} + 802048 T^{5} + 7862664 T^{6} + 70013484 T^{7} + 587621764 T^{8} + 4690903428 T^{9} + 35295498696 T^{10} + 241226362624 T^{11} + 1467908409245 T^{12} + 8430181168108 T^{13} + 46314691670528 T^{14} + 193942771370336 T^{15} + 406067677556641 T^{16} )^{2} \))(\( 1 + 130 T^{2} + 12411 T^{4} + 583570 T^{6} + 20151121 T^{8} \))(\( 1 + 85 T^{2} + 2736 T^{4} + 381565 T^{6} + 20151121 T^{8} \))(\( ( 1 + 70 T^{2} + 411 T^{4} + 314230 T^{6} + 20151121 T^{8} )^{2} \))(\( ( 1 - 10 T^{2} - 4389 T^{4} - 44890 T^{6} + 20151121 T^{8} )^{2} \))(\( ( 1 + 67 T^{2} + 4489 T^{4} )^{4} \))(\( ( 1 + 70 T^{2} + 411 T^{4} + 314230 T^{6} + 20151121 T^{8} )^{2} \))(\( ( 1 + 15 T - 25 T^{2} - 1337 T^{3} - 1675 T^{4} + 67335 T^{5} + 300763 T^{6} )^{2} \))(\( ( 1 - 8 T + 185 T^{2} - 1008 T^{3} + 12395 T^{4} - 35912 T^{5} + 300763 T^{6} )^{2} \))(\( ( 1 - 15 T + 227 T^{2} - 1981 T^{3} + 15209 T^{4} - 67335 T^{5} + 300763 T^{6} )^{2} \))(\( ( 1 + 3 T + 145 T^{2} + 913 T^{3} + 13198 T^{4} + 102008 T^{5} + 984907 T^{6} + 6834536 T^{7} + 59245822 T^{8} + 274596619 T^{9} + 2921912545 T^{10} + 4050375321 T^{11} + 90458382169 T^{12} )^{2} \))(\( ( 1 + 15 T + 249 T^{2} + 2709 T^{3} + 35026 T^{4} + 295300 T^{5} + 2774099 T^{6} + 19785100 T^{7} + 157231714 T^{8} + 814766967 T^{9} + 5017629129 T^{10} + 20251876605 T^{11} + 90458382169 T^{12} )^{2} \))(\( ( 1 + 8 T + 32 T^{2} + 1360 T^{3} + 14414 T^{4} + 88936 T^{5} + 1175040 T^{6} + 10875912 T^{7} + 73867315 T^{8} + 728686104 T^{9} + 5274754560 T^{10} + 26748658168 T^{11} + 290458258094 T^{12} + 1836170145520 T^{13} + 2894668229408 T^{14} + 48485692842584 T^{15} + 406067677556641 T^{16} )^{2} \))(\( ( 1 + 12 T + 72 T^{2} - 744 T^{3} - 8953 T^{4} - 49848 T^{5} + 323208 T^{6} + 3609156 T^{7} + 20151121 T^{8} )^{4} \))(\( 1 - 32 T + 512 T^{2} - 3896 T^{3} - 10509 T^{4} + 663104 T^{5} - 8249312 T^{6} + 44834240 T^{7} + 165963557 T^{8} - 5505231928 T^{9} + 49681319072 T^{10} - 159136747544 T^{11} - 1412717145882 T^{12} + 21627811976512 T^{13} - 103082665870656 T^{14} - 335467607852040 T^{15} + 7552610469365206 T^{16} - 22476329726086680 T^{17} - 462738087093374784 T^{18} + 6504845613491678656 T^{19} - 28467834145442833722 T^{20} - \)\(21\!\cdots\!08\)\( T^{21} + \)\(44\!\cdots\!68\)\( T^{22} - \)\(33\!\cdots\!44\)\( T^{23} + \)\(67\!\cdots\!37\)\( T^{24} + \)\(12\!\cdots\!80\)\( T^{25} - \)\(15\!\cdots\!88\)\( T^{26} + \)\(80\!\cdots\!32\)\( T^{27} - \)\(85\!\cdots\!49\)\( T^{28} - \)\(21\!\cdots\!52\)\( T^{29} + \)\(18\!\cdots\!48\)\( T^{30} - \)\(78\!\cdots\!76\)\( T^{31} + \)\(16\!\cdots\!81\)\( T^{32} \))
$71$ (\( 1 + 71 T^{2} \))(\( 1 + 6 T + 71 T^{2} \))(\( 1 + 6 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 - 2 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 + 16 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 - 2 T + 71 T^{2} \))(\( 1 - 8 T + 86 T^{2} - 568 T^{3} + 5041 T^{4} \))(\( 1 - 8 T + 86 T^{2} - 568 T^{3} + 5041 T^{4} \))(\( ( 1 + 6 T + 71 T^{2} )^{2} \))(\( ( 1 - 6 T + 71 T^{2} )^{2} \))(\( ( 1 - 6 T + 71 T^{2} )^{2} \))(\( ( 1 + 6 T + 71 T^{2} )^{2} \))(\( ( 1 + 12 T + 154 T^{2} + 852 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 - 6 T + 71 T^{2} )^{4} \))(\( ( 1 - 8 T + 71 T^{2} )^{4} \))(\( ( 1 - 12 T + 71 T^{2} )^{2} \))(\( ( 1 - 12 T + 71 T^{2} )^{2} \))(\( ( 1 + 16 T + 71 T^{2} )^{2} \))(\( ( 1 + 16 T + 71 T^{2} )^{2} \))(\( ( 1 - 12 T + 71 T^{2} )^{2} \))(\( ( 1 - 2 T + 71 T^{2} )^{2} \))(\( ( 1 + 71 T^{2} )^{2} \))(\( ( 1 + 6 T + 71 T^{2} )^{2} \))(\( ( 1 - 8 T + 86 T^{2} - 568 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 - 8 T + 86 T^{2} - 568 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 + 4 T + 74 T^{2} + 284 T^{3} + 5041 T^{4} )^{4} \))(\( ( 1 - 4 T + 80 T^{2} - 548 T^{3} + 9454 T^{4} - 38908 T^{5} + 403280 T^{6} - 1431644 T^{7} + 25411681 T^{8} )^{4} \))(\( ( 1 - 4 T + 94 T^{2} + 964 T^{3} - 1158 T^{4} + 68444 T^{5} + 473854 T^{6} - 1431644 T^{7} + 25411681 T^{8} )^{4} \))(\( ( 1 + 6 T + 71 T^{2} )^{4} \))(\( ( 1 - 6 T + 71 T^{2} )^{4} \))(\( ( 1 + 12 T + 154 T^{2} + 852 T^{3} + 5041 T^{4} )^{4} \))(\( ( 1 - 8 T + 71 T^{2} )^{8} \))(\( ( 1 - 6 T + 71 T^{2} )^{8} \))(\( ( 1 + 12 T + 154 T^{2} + 852 T^{3} + 5041 T^{4} )^{4} \))(\( 1 - 9 T - 32 T^{2} + 654 T^{3} + 1111 T^{4} + 10067 T^{5} - 342160 T^{6} + 714757 T^{7} + 5600551 T^{8} + 234073794 T^{9} - 813173792 T^{10} - 16238064159 T^{11} + 128100283921 T^{12} \))(\( 1 - 6 T - 35 T^{2} + 1406 T^{3} - 2871 T^{4} - 37940 T^{5} + 948921 T^{6} - 2693740 T^{7} - 14472711 T^{8} + 503222866 T^{9} - 889408835 T^{10} - 10825376106 T^{11} + 128100283921 T^{12} \))(\( 1 - 13 T - 70 T^{2} + 2218 T^{3} - 14393 T^{4} - 92813 T^{5} + 2051484 T^{6} - 6589723 T^{7} - 72555113 T^{8} + 793846598 T^{9} - 1778817670 T^{10} - 23454981563 T^{11} + 128100283921 T^{12} \))(\( 1 - 18 T + 136 T^{2} - 804 T^{3} + 6944 T^{4} - 37506 T^{5} + 216811 T^{6} - 2804442 T^{7} + 14900111 T^{8} + 43674402 T^{9} - 301504823 T^{10} + 17446446738 T^{11} - 270394367691 T^{12} + 1238697718398 T^{13} - 1519885812743 T^{14} + 15631548894222 T^{15} + 378636867596591 T^{16} - 5059856569577142 T^{17} + 27773550657195931 T^{18} - 341121576660612846 T^{19} + 4484112520970564384 T^{20} - 36862194577633020924 T^{21} + \)\(44\!\cdots\!36\)\( T^{22} - \)\(41\!\cdots\!78\)\( T^{23} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( 1 + 28 T + 404 T^{2} + 4536 T^{3} + 52482 T^{4} + 623476 T^{5} + 6882193 T^{6} + 71976324 T^{7} + 733877709 T^{8} + 7097842892 T^{9} + 64392038159 T^{10} + 560633585652 T^{11} + 4781152707569 T^{12} + 39804984581292 T^{13} + 324600264359519 T^{14} + 2540396047318612 T^{15} + 18649066234118829 T^{16} + 129861796337885724 T^{17} + 881610877299118753 T^{18} + 5670589135872987116 T^{19} + 33890436826840028802 T^{20} + \)\(20\!\cdots\!16\)\( T^{21} + \)\(13\!\cdots\!04\)\( T^{22} + \)\(64\!\cdots\!88\)\( T^{23} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( ( 1 + 4 T + 144 T^{2} + 284 T^{3} + 5041 T^{4} )^{8} \))(\( ( 1 + 4 T + 74 T^{2} + 284 T^{3} + 5041 T^{4} )^{8} \))(\( ( 1 - 4 T + 94 T^{2} + 964 T^{3} - 1158 T^{4} + 68444 T^{5} + 473854 T^{6} - 1431644 T^{7} + 25411681 T^{8} )^{4} \))
$73$ (\( 1 + 4 T + 73 T^{2} \))(\( 1 - 16 T + 73 T^{2} \))(\( 1 + 16 T + 73 T^{2} \))(\( 1 - 4 T + 73 T^{2} \))(\( 1 - 4 T + 73 T^{2} \))(\( 1 + 4 T + 73 T^{2} \))(\( 1 + 4 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 - 4 T + 73 T^{2} \))(\( 1 - 4 T + 73 T^{2} \))(\( 1 + 4 T + 73 T^{2} \))(\( 1 - 16 T + 208 T^{2} - 1168 T^{3} + 5329 T^{4} \))(\( 1 + 16 T + 208 T^{2} + 1168 T^{3} + 5329 T^{4} \))(\( ( 1 - 6 T + 73 T^{2} )( 1 + 6 T + 73 T^{2} ) \))(\( 1 - 46 T^{2} + 5329 T^{4} \))(\( 1 - 46 T^{2} + 5329 T^{4} \))(\( ( 1 - 6 T + 73 T^{2} )( 1 + 6 T + 73 T^{2} ) \))(\( 1 - 236 T^{2} + 24198 T^{4} - 1257644 T^{6} + 28398241 T^{8} \))(\( ( 1 - 74 T^{2} + 5329 T^{4} )^{2} \))(\( ( 1 - 128 T^{2} + 5329 T^{4} )^{2} \))(\( 1 + 4 T - 57 T^{2} + 292 T^{3} + 5329 T^{4} \))(\( 1 + 4 T - 57 T^{2} + 292 T^{3} + 5329 T^{4} \))(\( 1 - 2 T - 69 T^{2} - 146 T^{3} + 5329 T^{4} \))(\( 1 + 2 T - 69 T^{2} + 146 T^{3} + 5329 T^{4} \))(\( 1 - 4 T - 57 T^{2} - 292 T^{3} + 5329 T^{4} \))(\( 1 + 4 T - 57 T^{2} + 292 T^{3} + 5329 T^{4} \))(\( 1 + 4 T - 57 T^{2} + 292 T^{3} + 5329 T^{4} \))(\( 1 + 16 T + 183 T^{2} + 1168 T^{3} + 5329 T^{4} \))(\( 1 - 16 T + 48 T^{2} - 992 T^{3} + 19247 T^{4} - 72416 T^{5} + 255792 T^{6} - 6224272 T^{7} + 28398241 T^{8} \))(\( 1 + 16 T + 48 T^{2} + 992 T^{3} + 19247 T^{4} + 72416 T^{5} + 255792 T^{6} + 6224272 T^{7} + 28398241 T^{8} \))(\( ( 1 - 48 T^{2} + 1152 T^{4} - 255792 T^{6} + 28398241 T^{8} )( 1 + 48 T^{2} + 1152 T^{4} + 255792 T^{6} + 28398241 T^{8} ) \))(\( 1 + 18048 T^{4} + 119145092 T^{8} + 174065533824 T^{12} - 972517965060218 T^{16} + 4943154979327603584 T^{20} + \)\(96\!\cdots\!52\)\( T^{24} + \)\(41\!\cdots\!08\)\( T^{28} + \)\(65\!\cdots\!61\)\( T^{32} \))(\( 1 - 22400 T^{4} + 253668732 T^{8} - 1943585257600 T^{12} + 11498706287626118 T^{16} - 55194402549371881600 T^{20} + \)\(20\!\cdots\!92\)\( T^{24} - \)\(51\!\cdots\!00\)\( T^{28} + \)\(65\!\cdots\!61\)\( T^{32} \))(\( ( 1 - 6 T - 37 T^{2} - 438 T^{3} + 5329 T^{4} )( 1 + 6 T - 37 T^{2} + 438 T^{3} + 5329 T^{4} ) \))(\( ( 1 - 97 T^{2} + 5329 T^{4} )( 1 + 143 T^{2} + 5329 T^{4} ) \))(\( 1 + 236 T^{2} + 31498 T^{4} + 3195440 T^{6} + 260340979 T^{8} + 17028499760 T^{10} + 894487795018 T^{12} + 35714877404204 T^{14} + 806460091894081 T^{16} \))(\( ( 1 + 128 T^{2} + 11055 T^{4} + 682112 T^{6} + 28398241 T^{8} )^{2} \))(\( ( 1 + 74 T^{2} + 147 T^{4} + 394346 T^{6} + 28398241 T^{8} )^{2} \))(\( 1 + 236 T^{2} + 31498 T^{4} + 3195440 T^{6} + 260340979 T^{8} + 17028499760 T^{10} + 894487795018 T^{12} + 35714877404204 T^{14} + 806460091894081 T^{16} \))(\( 1 + 12 T + 29 T^{2} + 242 T^{3} - 1537 T^{4} - 75674 T^{5} - 761097 T^{6} - 5524202 T^{7} - 8190673 T^{8} + 94142114 T^{9} + 823548989 T^{10} + 24876859116 T^{11} + 151334226289 T^{12} \))(\( 1 + 26 T + 267 T^{2} + 2062 T^{3} + 22193 T^{4} + 207672 T^{5} + 1629655 T^{6} + 15160056 T^{7} + 118266497 T^{8} + 802153054 T^{9} + 7582330347 T^{10} + 53899861418 T^{11} + 151334226289 T^{12} \))(\( 1 + 26 T + 505 T^{2} + 7354 T^{3} + 91577 T^{4} + 965254 T^{5} + 8870175 T^{6} + 70463542 T^{7} + 488013833 T^{8} + 2860831018 T^{9} + 14341111705 T^{10} + 53899861418 T^{11} + 151334226289 T^{12} \))(\( 1 + T - 56 T^{2} + 821 T^{3} - 6640 T^{4} - 77617 T^{5} + 997047 T^{6} - 2308397 T^{7} - 30135277 T^{8} + 986830170 T^{9} - 3490788976 T^{10} - 45990779742 T^{11} + 514577155635 T^{12} - 3357326921166 T^{13} - 18602414453104 T^{14} + 383893712242890 T^{15} - 855788858847757 T^{16} - 4785472246066421 T^{17} + 150887336318768583 T^{18} - 857465930856751849 T^{19} - 5354895010176697840 T^{20} + 48333572687487956573 T^{21} - \)\(24\!\cdots\!44\)\( T^{22} + \)\(31\!\cdots\!77\)\( T^{23} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 + T - 14 T^{2} + 331 T^{3} - 4722 T^{4} + 48621 T^{5} - 77509 T^{6} - 7886879 T^{7} + 39580075 T^{8} - 181918670 T^{9} + 1943876862 T^{10} + 35000001248 T^{11} - 337143280953 T^{12} + 2555000091104 T^{13} + 10358919797598 T^{14} - 70769455247390 T^{15} + 1124004508648075 T^{16} - 16350064812328247 T^{17} - 11729764545434101 T^{18} + 537135563397015237 T^{19} - 3808104553923850482 T^{20} + 19486495200436679203 T^{21} - 60166761615849807086 T^{22} + \)\(31\!\cdots\!77\)\( T^{23} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 - 1220 T^{4} - 54241974 T^{8} + 1300651760 T^{12} + 2257146552381395 T^{16} + 36936222137554160 T^{20} - \)\(43\!\cdots\!94\)\( T^{24} - \)\(27\!\cdots\!20\)\( T^{28} + \)\(65\!\cdots\!61\)\( T^{32} \))(\( ( 1 - 48 T^{2} + 1152 T^{4} + 456288 T^{6} - 39349153 T^{8} + 2431558752 T^{10} + 32714773632 T^{12} - 7264042861872 T^{14} + 806460091894081 T^{16} )( 1 + 48 T^{2} + 1152 T^{4} - 456288 T^{6} - 39349153 T^{8} - 2431558752 T^{10} + 32714773632 T^{12} + 7264042861872 T^{14} + 806460091894081 T^{16} ) \))(\( 1 - 12 T + 72 T^{2} - 288 T^{3} + 12064 T^{4} - 83700 T^{5} + 177264 T^{6} + 3613524 T^{7} + 19255890 T^{8} + 96865032 T^{9} - 2225167272 T^{10} + 39441388620 T^{11} + 6056513120 T^{12} + 1050679100940 T^{13} - 2551121523144 T^{14} + 71385024146568 T^{15} + 865631164724531 T^{16} + 5211106762699464 T^{17} - 13594926596834376 T^{18} + 408732031810375980 T^{19} + 171994319201421920 T^{20} + 81764822336595471660 T^{21} - \)\(33\!\cdots\!08\)\( T^{22} + \)\(10\!\cdots\!04\)\( T^{23} + \)\(15\!\cdots\!90\)\( T^{24} + \)\(21\!\cdots\!12\)\( T^{25} + \)\(76\!\cdots\!36\)\( T^{26} - \)\(26\!\cdots\!00\)\( T^{27} + \)\(27\!\cdots\!44\)\( T^{28} - \)\(48\!\cdots\!04\)\( T^{29} + \)\(87\!\cdots\!48\)\( T^{30} - \)\(10\!\cdots\!84\)\( T^{31} + \)\(65\!\cdots\!61\)\( T^{32} \))
$79$ (\( 1 + 10 T + 79 T^{2} \))(\( 1 - 2 T + 79 T^{2} \))(\( 1 - 2 T + 79 T^{2} \))(\( 1 + 10 T + 79 T^{2} \))(\( 1 - 10 T + 79 T^{2} \))(\( 1 - 4 T + 79 T^{2} \))(\( 1 + 10 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 - 4 T + 79 T^{2} \))(\( 1 + 10 T + 79 T^{2} \))(\( 1 - 10 T + 79 T^{2} \))(\( 1 + 8 T + 166 T^{2} + 632 T^{3} + 6241 T^{4} \))(\( 1 + 8 T + 166 T^{2} + 632 T^{3} + 6241 T^{4} \))(\( ( 1 + 14 T + 79 T^{2} )^{2} \))(\( ( 1 - 10 T + 79 T^{2} )^{2} \))(\( ( 1 - 10 T + 79 T^{2} )^{2} \))(\( ( 1 + 14 T + 79 T^{2} )^{2} \))(\( ( 1 + 4 T + 138 T^{2} + 316 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 - 10 T + 79 T^{2} )^{4} \))(\( ( 1 + 79 T^{2} )^{4} \))(\( 1 - 10 T + 21 T^{2} - 790 T^{3} + 6241 T^{4} \))(\( ( 1 - 13 T + 79 T^{2} )( 1 + 17 T + 79 T^{2} ) \))(\( 1 - 8 T - 15 T^{2} - 632 T^{3} + 6241 T^{4} \))(\( 1 - 8 T - 15 T^{2} - 632 T^{3} + 6241 T^{4} \))(\( ( 1 - 13 T + 79 T^{2} )( 1 + 17 T + 79 T^{2} ) \))(\( 1 + 10 T + 21 T^{2} + 790 T^{3} + 6241 T^{4} \))(\( 1 - 10 T + 21 T^{2} - 790 T^{3} + 6241 T^{4} \))(\( 1 + 2 T - 75 T^{2} + 158 T^{3} + 6241 T^{4} \))(\( 1 - 8 T - 102 T^{2} - 64 T^{3} + 16259 T^{4} - 5056 T^{5} - 636582 T^{6} - 3944312 T^{7} + 38950081 T^{8} \))(\( 1 - 8 T - 102 T^{2} - 64 T^{3} + 16259 T^{4} - 5056 T^{5} - 636582 T^{6} - 3944312 T^{7} + 38950081 T^{8} \))(\( ( 1 - 52 T^{2} + 358 T^{4} - 324532 T^{6} + 38950081 T^{8} )^{2} \))(\( ( 1 - 192 T^{2} + 18396 T^{4} - 1042752 T^{6} + 50187974 T^{8} - 6507815232 T^{10} + 716525690076 T^{12} - 46672791460032 T^{14} + 1517108809906561 T^{16} )^{2} \))(\( ( 1 - 344 T^{2} + 61500 T^{4} - 7270888 T^{6} + 650307974 T^{8} - 45377612008 T^{10} + 2395429981500 T^{12} - 83622084699224 T^{14} + 1517108809906561 T^{16} )^{2} \))(\( ( 1 - 14 T + 117 T^{2} - 1106 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 + 10 T + 21 T^{2} + 790 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 - 4 T - 122 T^{2} + 80 T^{3} + 11539 T^{4} + 6320 T^{5} - 761402 T^{6} - 1972156 T^{7} + 38950081 T^{8} )^{2} \))(\( ( 1 - 79 T^{2} + 6241 T^{4} )^{4} \))(\( ( 1 + 10 T + 21 T^{2} + 790 T^{3} + 6241 T^{4} )^{4} \))(\( ( 1 - 4 T - 122 T^{2} + 80 T^{3} + 11539 T^{4} + 6320 T^{5} - 761402 T^{6} - 1972156 T^{7} + 38950081 T^{8} )^{2} \))(\( ( 1 + 10 T + 198 T^{2} + 1231 T^{3} + 15642 T^{4} + 62410 T^{5} + 493039 T^{6} )^{2} \))(\( ( 1 + 22 T + 361 T^{2} + 3580 T^{3} + 28519 T^{4} + 137302 T^{5} + 493039 T^{6} )^{2} \))(\( ( 1 - 34 T + 620 T^{2} - 6801 T^{3} + 48980 T^{4} - 212194 T^{5} + 493039 T^{6} )^{2} \))(\( ( 1 + 4 T + 287 T^{2} + 1301 T^{3} + 42087 T^{4} + 165382 T^{5} + 4065489 T^{6} + 13065178 T^{7} + 262664967 T^{8} + 641443739 T^{9} + 11178673247 T^{10} + 12308225596 T^{11} + 243087455521 T^{12} )^{2} \))(\( ( 1 + 32 T + 665 T^{2} + 9561 T^{3} + 113053 T^{4} + 1138830 T^{5} + 10566235 T^{6} + 89967570 T^{7} + 705563773 T^{8} + 4713945879 T^{9} + 25901803865 T^{10} + 98465804768 T^{11} + 243087455521 T^{12} )^{2} \))(\( ( 1 + 208 T^{2} + 20766 T^{4} + 2083328 T^{6} + 197199299 T^{8} + 13002050048 T^{10} + 808837382046 T^{12} + 50562190748368 T^{14} + 1517108809906561 T^{16} )^{2} \))(\( ( 1 + 52 T^{2} + 2346 T^{4} - 630448 T^{6} - 55697581 T^{8} - 3934625968 T^{10} + 91376890026 T^{12} + 12640547687092 T^{14} + 1517108809906561 T^{16} )^{2} \))(\( 1 + 344 T^{2} + 56836 T^{4} + 6614224 T^{6} + 630756554 T^{8} + 45125337896 T^{10} + 2052833339792 T^{12} + 54520165812136 T^{14} + 1660868031271123 T^{16} + 340260354833540776 T^{18} + 79958024864398923152 T^{20} + \)\(10\!\cdots\!16\)\( T^{22} + \)\(95\!\cdots\!94\)\( T^{24} + \)\(62\!\cdots\!24\)\( T^{26} + \)\(33\!\cdots\!76\)\( T^{28} + \)\(12\!\cdots\!64\)\( T^{30} + \)\(23\!\cdots\!21\)\( T^{32} \))
$83$ (\( 1 + 83 T^{2} \))(\( 1 + 3 T + 83 T^{2} \))(\( 1 - 3 T + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 - 7 T + 83 T^{2} \))(\( 1 - 2 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 + 8 T + 83 T^{2} \))(\( 1 + 2 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 + 7 T + 83 T^{2} \))(\( 1 + 4 T + 152 T^{2} + 332 T^{3} + 6889 T^{4} \))(\( 1 - 4 T + 152 T^{2} - 332 T^{3} + 6889 T^{4} \))(\( 1 - 130 T^{2} + 6889 T^{4} \))(\( 1 - 85 T^{2} + 6889 T^{4} \))(\( 1 - 85 T^{2} + 6889 T^{4} \))(\( 1 - 130 T^{2} + 6889 T^{4} \))(\( ( 1 - 160 T^{2} + 6889 T^{4} )^{2} \))(\( ( 1 + 76 T^{2} + 6889 T^{4} )^{2} \))(\( ( 1 + 122 T^{2} + 6889 T^{4} )^{2} \))(\( ( 1 - 12 T + 83 T^{2} )^{2} \))(\( ( 1 + 2 T + 83 T^{2} )^{2} \))(\( ( 1 + 8 T + 83 T^{2} )^{2} \))(\( ( 1 - 8 T + 83 T^{2} )^{2} \))(\( ( 1 - 2 T + 83 T^{2} )^{2} \))(\( ( 1 - 7 T + 83 T^{2} )^{2} \))(\( ( 1 + 83 T^{2} )^{2} \))(\( ( 1 + 3 T + 83 T^{2} )^{2} \))(\( ( 1 - 4 T + 152 T^{2} - 332 T^{3} + 6889 T^{4} )^{2} \))(\( ( 1 + 4 T + 152 T^{2} + 332 T^{3} + 6889 T^{4} )^{2} \))(\( 1 - 3468 T^{4} - 36032314 T^{8} - 164585457228 T^{12} + 2252292232139041 T^{16} \))(\( 1 + 248 T^{4} + 42234172 T^{8} + 496453047752 T^{12} + 915908364641350 T^{16} + 23560828101642744392 T^{20} + \)\(95\!\cdots\!52\)\( T^{24} + \)\(26\!\cdots\!28\)\( T^{28} + \)\(50\!\cdots\!81\)\( T^{32} \))(\( 1 - 25638 T^{4} + 318852241 T^{8} - 2957648820318 T^{12} + 22747905510477444 T^{16} - \)\(14\!\cdots\!78\)\( T^{20} + \)\(71\!\cdots\!81\)\( T^{24} - \)\(27\!\cdots\!18\)\( T^{28} + \)\(50\!\cdots\!81\)\( T^{32} \))(\( ( 1 - 130 T^{2} + 6889 T^{4} )^{2} \))(\( ( 1 - 85 T^{2} + 6889 T^{4} )^{2} \))(\( ( 1 - 160 T^{2} + 6889 T^{4} )^{4} \))(\( ( 1 + 122 T^{2} + 6889 T^{4} )^{4} \))(\( ( 1 + 76 T^{2} + 6889 T^{4} )^{4} \))(\( ( 1 - 160 T^{2} + 6889 T^{4} )^{4} \))(\( 1 - 15 T + 86 T^{2} - 1494 T^{3} + 22027 T^{4} - 161827 T^{5} + 1162860 T^{6} - 13431641 T^{7} + 151744003 T^{8} - 854249778 T^{9} + 4081415606 T^{10} - 59085609645 T^{11} + 326940373369 T^{12} \))(\( 1 - 4 T - 67 T^{2} - 408 T^{3} + 3665 T^{4} + 54988 T^{5} - 447035 T^{6} + 4564004 T^{7} + 25248185 T^{8} - 233289096 T^{9} - 3179707507 T^{10} - 15756162572 T^{11} + 326940373369 T^{12} \))(\( 1 + 3 T - 60 T^{2} + 1132 T^{3} + 6003 T^{4} - 14459 T^{5} + 514464 T^{6} - 1200097 T^{7} + 41354667 T^{8} + 647262884 T^{9} - 2847499260 T^{10} + 11817121929 T^{11} + 326940373369 T^{12} \))(\( 1 - 18 T + 168 T^{2} - 1374 T^{3} + 14502 T^{4} - 153284 T^{5} + 807116 T^{6} + 4222540 T^{7} - 79975169 T^{8} + 367428813 T^{9} - 2047819310 T^{10} + 66066112269 T^{11} - 862812279479 T^{12} + 5483487318327 T^{13} - 14107427226590 T^{14} + 210091018698831 T^{15} - 3795487242431249 T^{16} + 16632756676693220 T^{17} + 263878806392093804 T^{18} - 4159522439893985068 T^{19} + 32662741950480372582 T^{20} - \)\(25\!\cdots\!22\)\( T^{21} + \)\(26\!\cdots\!32\)\( T^{22} - \)\(23\!\cdots\!06\)\( T^{23} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 + 42 T + 800 T^{2} + 9954 T^{3} + 92494 T^{4} + 634060 T^{5} + 3254808 T^{6} + 12183220 T^{7} + 28014383 T^{8} + 88227825 T^{9} - 6586194630 T^{10} - 165436255635 T^{11} - 1874112365951 T^{12} - 13731209217705 T^{13} - 45372294806070 T^{14} + 50447523373275 T^{15} + 1329515581030943 T^{16} + 47990198742610460 T^{17} + 1064128142764408152 T^{18} + 17205884490482895620 T^{19} + \)\(20\!\cdots\!54\)\( T^{20} + \)\(18\!\cdots\!62\)\( T^{21} + \)\(12\!\cdots\!00\)\( T^{22} + \)\(54\!\cdots\!14\)\( T^{23} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( ( 1 - 4224 T^{4} + 99283874 T^{8} - 200463947904 T^{12} + 2252292232139041 T^{16} )^{2} \))(\( ( 1 - 3468 T^{4} - 36032314 T^{8} - 164585457228 T^{12} + 2252292232139041 T^{16} )^{2} \))(\( 1 - 25638 T^{4} + 318852241 T^{8} - 2957648820318 T^{12} + 22747905510477444 T^{16} - \)\(14\!\cdots\!78\)\( T^{20} + \)\(71\!\cdots\!81\)\( T^{24} - \)\(27\!\cdots\!18\)\( T^{28} + \)\(50\!\cdots\!81\)\( T^{32} \))
$89$ (\( 1 - 6 T + 89 T^{2} \))(\( 1 - 15 T + 89 T^{2} \))(\( 1 + 15 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 + T + 89 T^{2} \))(\( 1 + 8 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 + 10 T + 89 T^{2} \))(\( 1 - 8 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 - T + 89 T^{2} \))(\( 1 + 16 T^{2} + 7921 T^{4} \))(\( 1 + 16 T^{2} + 7921 T^{4} \))(\( ( 1 + 2 T + 89 T^{2} )^{2} \))(\( ( 1 + 7 T + 89 T^{2} )^{2} \))(\( ( 1 - 7 T + 89 T^{2} )^{2} \))(\( ( 1 - 2 T + 89 T^{2} )^{2} \))(\( ( 1 + 10 T + 89 T^{2} )^{4} \))(\( ( 1 + 89 T^{2} )^{4} \))(\( ( 1 + 160 T^{2} + 7921 T^{4} )^{2} \))(\( 1 - 6 T - 53 T^{2} - 534 T^{3} + 7921 T^{4} \))(\( 1 + 8 T - 25 T^{2} + 712 T^{3} + 7921 T^{4} \))(\( 1 - 10 T + 11 T^{2} - 890 T^{3} + 7921 T^{4} \))(\( 1 + 10 T + 11 T^{2} + 890 T^{3} + 7921 T^{4} \))(\( 1 - 8 T - 25 T^{2} - 712 T^{3} + 7921 T^{4} \))(\( 1 - T - 88 T^{2} - 89 T^{3} + 7921 T^{4} \))(\( 1 - 6 T - 53 T^{2} - 534 T^{3} + 7921 T^{4} \))(\( 1 + 15 T + 136 T^{2} + 1335 T^{3} + 7921 T^{4} \))(\( 1 - 16 T^{2} - 7665 T^{4} - 126736 T^{6} + 62742241 T^{8} \))(\( 1 - 16 T^{2} - 7665 T^{4} - 126736 T^{6} + 62742241 T^{8} \))(\( ( 1 + 16 T^{2} + 5824 T^{4} + 126736 T^{6} + 62742241 T^{8} )^{2} \))(\( ( 1 + 432 T^{2} + 94144 T^{4} + 13423280 T^{6} + 1384901570 T^{8} + 106325800880 T^{10} + 5906805536704 T^{12} + 214695917695152 T^{14} + 3936588805702081 T^{16} )^{2} \))(\( ( 1 + 522 T^{2} + 127569 T^{4} + 19418370 T^{6} + 2046124772 T^{8} + 153812908770 T^{10} + 8003964942129 T^{12} + 259424233881642 T^{14} + 3936588805702081 T^{16} )^{2} \))(\( ( 1 + 2 T - 85 T^{2} + 178 T^{3} + 7921 T^{4} )^{2} \))(\( ( 1 - 7 T - 40 T^{2} - 623 T^{3} + 7921 T^{4} )^{2} \))(\( ( 1 + 10 T + 11 T^{2} + 890 T^{3} + 7921 T^{4} )^{4} \))(\( ( 1 - 160 T^{2} + 17679 T^{4} - 1267360 T^{6} + 62742241 T^{8} )^{2} \))(\( ( 1 - 89 T^{2} + 7921 T^{4} )^{4} \))(\( ( 1 - 10 T + 11 T^{2} - 890 T^{3} + 7921 T^{4} )^{4} \))(\( 1 + 11 T - 10 T^{2} + 66 T^{3} + 2309 T^{4} - 89885 T^{5} - 1418264 T^{6} - 7999765 T^{7} + 18289589 T^{8} + 46527954 T^{9} - 627422410 T^{10} + 61424653939 T^{11} + 496981290961 T^{12} \))(\( 1 - 22 T - 25 T^{2} + 4608 T^{3} - 37551 T^{4} - 242550 T^{5} + 5797639 T^{6} - 21586950 T^{7} - 297441471 T^{8} + 3248497152 T^{9} - 1568556025 T^{10} - 122849307878 T^{11} + 496981290961 T^{12} \))(\( 1 + 27 T + 150 T^{2} - 2602 T^{3} - 34947 T^{4} + 41951 T^{5} + 2917944 T^{6} + 3733639 T^{7} - 276815187 T^{8} - 1834329338 T^{9} + 9411336150 T^{10} + 150769605123 T^{11} + 496981290961 T^{12} \))(\( 1 - 40 T + 658 T^{2} - 4380 T^{3} - 26573 T^{4} + 815020 T^{5} - 5515788 T^{6} - 43026060 T^{7} + 1292284677 T^{8} - 12737860544 T^{9} + 41807413222 T^{10} + 540376139416 T^{11} - 8961895383577 T^{12} + 48093476408024 T^{13} + 331156520131462 T^{14} - 8979796809843136 T^{15} + 81080836644941157 T^{16} - 240260076896240940 T^{17} - 2741243440907192268 T^{18} + 36049422566554045580 T^{19} - \)\(10\!\cdots\!13\)\( T^{20} - \)\(15\!\cdots\!20\)\( T^{21} + \)\(20\!\cdots\!58\)\( T^{22} - \)\(11\!\cdots\!60\)\( T^{23} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 + 16 T + 154 T^{2} + 2172 T^{3} + 38723 T^{4} + 440772 T^{5} + 4007012 T^{6} + 48321644 T^{7} + 615617469 T^{8} + 5756994072 T^{9} + 50430481158 T^{10} + 537686206184 T^{11} + 5780873998183 T^{12} + 47854072350376 T^{13} + 399459841252518 T^{14} + 4058502353943768 T^{15} + 38625219603808029 T^{16} + 269830932769414156 T^{17} + 1991409996656218532 T^{18} + 19495933944572108388 T^{19} + \)\(15\!\cdots\!63\)\( T^{20} + \)\(76\!\cdots\!48\)\( T^{21} + \)\(48\!\cdots\!54\)\( T^{22} + \)\(44\!\cdots\!24\)\( T^{23} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( ( 1 + 60 T^{2} - 6870 T^{4} - 322320 T^{6} + 18363059 T^{8} - 2553096720 T^{10} - 431039195670 T^{12} + 29818877457660 T^{14} + 3936588805702081 T^{16} )^{2} \))(\( ( 1 - 16 T^{2} - 5568 T^{4} + 160288 T^{6} - 30851041 T^{8} + 1269641248 T^{10} - 349348797888 T^{12} - 7951700655376 T^{14} + 3936588805702081 T^{16} )^{2} \))(\( 1 - 522 T^{2} + 144915 T^{4} - 27754278 T^{6} + 4091335849 T^{8} - 494840689332 T^{10} + 51768593923950 T^{12} - 4926383904774360 T^{14} + 445675116984224850 T^{16} - 39021886909717705560 T^{18} + \)\(32\!\cdots\!50\)\( T^{20} - \)\(24\!\cdots\!52\)\( T^{22} + \)\(16\!\cdots\!69\)\( T^{24} - \)\(86\!\cdots\!78\)\( T^{26} + \)\(35\!\cdots\!15\)\( T^{28} - \)\(10\!\cdots\!02\)\( T^{30} + \)\(15\!\cdots\!61\)\( T^{32} \))
$97$ (\( 1 + 10 T + 97 T^{2} \))(\( 1 + 14 T + 97 T^{2} \))(\( 1 - 14 T + 97 T^{2} \))(\( 1 - 10 T + 97 T^{2} \))(\( 1 + 14 T + 97 T^{2} \))(\( 1 + 97 T^{2} \))(\( 1 - 14 T + 97 T^{2} \))(\( 1 + 2 T + 97 T^{2} \))(\( 1 + 97 T^{2} \))(\( 1 + 14 T + 97 T^{2} \))(\( 1 - 14 T + 97 T^{2} \))(\( 1 - 24 T + 320 T^{2} - 2328 T^{3} + 9409 T^{4} \))(\( 1 + 24 T + 320 T^{2} + 2328 T^{3} + 9409 T^{4} \))(\( 1 - 50 T^{2} + 9409 T^{4} \))(\( ( 1 - 97 T^{2} )^{2} \))(\( ( 1 - 97 T^{2} )^{2} \))(\( 1 - 50 T^{2} + 9409 T^{4} \))(\( 1 - 124 T^{2} + 8838 T^{4} - 1166716 T^{6} + 88529281 T^{8} \))(\( ( 1 - 97 T^{2} )^{4} \))(\( ( 1 - 176 T^{2} + 9409 T^{4} )^{2} \))(\( ( 1 + 14 T + 97 T^{2} )^{2} \))(\( ( 1 + 97 T^{2} )^{2} \))(\( ( 1 + 2 T + 97 T^{2} )^{2} \))(\( ( 1 - 2 T + 97 T^{2} )^{2} \))(\( ( 1 + 97 T^{2} )^{2} \))(\( ( 1 + 14 T + 97 T^{2} )^{2} \))(\( ( 1 - 10 T + 97 T^{2} )^{2} \))(\( ( 1 + 14 T + 97 T^{2} )^{2} \))(\( ( 1 + 24 T + 320 T^{2} + 2328 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 - 24 T + 320 T^{2} - 2328 T^{3} + 9409 T^{4} )^{2} \))(\( 1 + 15680 T^{4} + 130184962 T^{8} + 1388139126080 T^{12} + 7837433594376961 T^{16} \))(\( 1 - 10240 T^{4} + 142383108 T^{8} - 338043238400 T^{12} + 8428592550712838 T^{16} - 29926724842463590400 T^{20} + \)\(11\!\cdots\!88\)\( T^{24} - \)\(71\!\cdots\!40\)\( T^{28} + \)\(61\!\cdots\!21\)\( T^{32} \))(\( ( 1 + 3868 T^{4} + 90482118 T^{8} + 342431258908 T^{12} + 7837433594376961 T^{16} )^{2} \))(\( ( 1 - 50 T^{2} + 9409 T^{4} )^{2} \))(\( ( 1 - 97 T^{2} )^{4} \))(\( ( 1 - 124 T^{2} + 8838 T^{4} - 1166716 T^{6} + 88529281 T^{8} )^{2} \))(\( ( 1 - 176 T^{2} + 9409 T^{4} )^{4} \))(\( ( 1 - 97 T^{2} )^{8} \))(\( ( 1 - 124 T^{2} + 8838 T^{4} - 1166716 T^{6} + 88529281 T^{8} )^{2} \))(\( ( 1 + 27 T + 485 T^{2} + 5435 T^{3} + 47045 T^{4} + 254043 T^{5} + 912673 T^{6} )^{2} \))(\( ( 1 + 14 T + 291 T^{2} + 2660 T^{3} + 28227 T^{4} + 131726 T^{5} + 912673 T^{6} )^{2} \))(\( ( 1 - 21 T + 431 T^{2} - 4361 T^{3} + 41807 T^{4} - 197589 T^{5} + 912673 T^{6} )^{2} \))(\( ( 1 - 21 T + 498 T^{2} - 6328 T^{3} + 94928 T^{4} - 947219 T^{5} + 11258983 T^{6} - 91880243 T^{7} + 893177552 T^{8} - 5775394744 T^{9} + 44087581938 T^{10} - 180334145397 T^{11} + 832972004929 T^{12} )^{2} \))(\( ( 1 - 25 T + 626 T^{2} - 10222 T^{3} + 155572 T^{4} - 1831155 T^{5} + 20238427 T^{6} - 177622035 T^{7} + 1463776948 T^{8} - 9329343406 T^{9} + 55419329906 T^{10} - 214683506425 T^{11} + 832972004929 T^{12} )^{2} \))(\( ( 1 - 11900 T^{4} + 108781062 T^{8} - 1053498443900 T^{12} + 7837433594376961 T^{16} )^{2} \))(\( ( 1 + 15680 T^{4} + 130184962 T^{8} + 1388139126080 T^{12} + 7837433594376961 T^{16} )^{2} \))(\( ( 1 + 3868 T^{4} + 90482118 T^{8} + 342431258908 T^{12} + 7837433594376961 T^{16} )^{2} \))
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