Properties

Label 441.2
Level 441
Weight 2
Dimension 5142
Nonzero newspaces 20
Newform subspaces 81
Sturm bound 28224
Trace bound 3

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Defining parameters

Level: \( N \) = \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 20 \)
Newform subspaces: \( 81 \)
Sturm bound: \(28224\)
Trace bound: \(3\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(441))\).

Total New Old
Modular forms 7536 5579 1957
Cusp forms 6577 5142 1435
Eisenstein series 959 437 522

Trace form

\( 5142q - 45q^{2} - 60q^{3} - 37q^{4} - 39q^{5} - 60q^{6} - 50q^{7} - 63q^{8} - 60q^{9} + O(q^{10}) \) \( 5142q - 45q^{2} - 60q^{3} - 37q^{4} - 39q^{5} - 60q^{6} - 50q^{7} - 63q^{8} - 60q^{9} - 105q^{10} - 27q^{11} - 84q^{12} - 31q^{13} - 60q^{14} - 132q^{15} - 69q^{16} - 87q^{17} - 108q^{18} - 157q^{19} - 135q^{20} - 90q^{21} - 117q^{22} - 75q^{23} - 132q^{24} - 45q^{25} - 111q^{26} - 96q^{27} - 156q^{28} - 81q^{29} - 144q^{30} - 43q^{31} - 141q^{32} - 108q^{33} - 87q^{34} - 87q^{35} - 228q^{36} - 189q^{37} - 213q^{38} - 132q^{39} - 285q^{40} - 225q^{41} - 138q^{42} - 143q^{43} - 321q^{44} - 156q^{45} - 363q^{46} - 141q^{47} - 36q^{48} - 150q^{49} - 246q^{50} - 60q^{51} - 233q^{52} - 21q^{53} - 198q^{55} - 102q^{56} - 12q^{57} - 75q^{58} + 87q^{59} + 144q^{60} - 68q^{61} + 207q^{62} + 12q^{63} - 169q^{64} + 81q^{65} + 24q^{66} - 39q^{67} + 177q^{68} - 12q^{69} - 87q^{70} - 93q^{71} + 48q^{72} - 217q^{73} - 87q^{74} - 84q^{75} - 139q^{76} - 99q^{77} - 180q^{78} - 135q^{79} - 198q^{80} - 228q^{81} - 330q^{82} - 279q^{83} - 216q^{84} - 249q^{85} - 462q^{86} - 240q^{87} - 450q^{88} - 411q^{89} - 384q^{90} - 311q^{91} - 528q^{92} - 288q^{93} - 432q^{94} - 459q^{95} - 336q^{96} - 280q^{97} - 480q^{98} - 384q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(441))\)

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
441.2.a \(\chi_{441}(1, \cdot)\) 441.2.a.a 1 1
441.2.a.b 1
441.2.a.c 1
441.2.a.d 1
441.2.a.e 1
441.2.a.f 1
441.2.a.g 2
441.2.a.h 2
441.2.a.i 2
441.2.a.j 2
441.2.c \(\chi_{441}(440, \cdot)\) 441.2.c.a 4 1
441.2.c.b 8
441.2.e \(\chi_{441}(226, \cdot)\) 441.2.e.a 2 2
441.2.e.b 2
441.2.e.c 2
441.2.e.d 2
441.2.e.e 2
441.2.e.f 4
441.2.e.g 4
441.2.e.h 4
441.2.e.i 4
441.2.e.j 4
441.2.f \(\chi_{441}(148, \cdot)\) 441.2.f.a 2 2
441.2.f.b 2
441.2.f.c 6
441.2.f.d 6
441.2.f.e 10
441.2.f.f 10
441.2.f.g 12
441.2.f.h 24
441.2.g \(\chi_{441}(67, \cdot)\) 441.2.g.a 2 2
441.2.g.b 6
441.2.g.c 6
441.2.g.d 6
441.2.g.e 6
441.2.g.f 10
441.2.g.g 12
441.2.g.h 24
441.2.h \(\chi_{441}(214, \cdot)\) 441.2.h.a 2 2
441.2.h.b 6
441.2.h.c 6
441.2.h.d 6
441.2.h.e 6
441.2.h.f 10
441.2.h.g 12
441.2.h.h 24
441.2.i \(\chi_{441}(68, \cdot)\) 441.2.i.a 2 2
441.2.i.b 10
441.2.i.c 12
441.2.i.d 48
441.2.o \(\chi_{441}(146, \cdot)\) 441.2.o.a 2 2
441.2.o.b 2
441.2.o.c 10
441.2.o.d 10
441.2.o.e 48
441.2.p \(\chi_{441}(80, \cdot)\) 441.2.p.a 4 2
441.2.p.b 8
441.2.p.c 16
441.2.s \(\chi_{441}(362, \cdot)\) 441.2.s.a 2 2
441.2.s.b 10
441.2.s.c 12
441.2.s.d 48
441.2.u \(\chi_{441}(64, \cdot)\) 441.2.u.a 6 6
441.2.u.b 12
441.2.u.c 24
441.2.u.d 36
441.2.u.e 60
441.2.w \(\chi_{441}(62, \cdot)\) 441.2.w.a 120 6
441.2.y \(\chi_{441}(25, \cdot)\) 441.2.y.a 648 12
441.2.z \(\chi_{441}(4, \cdot)\) 441.2.z.a 648 12
441.2.ba \(\chi_{441}(22, \cdot)\) 441.2.ba.a 648 12
441.2.bb \(\chi_{441}(37, \cdot)\) 441.2.bb.a 12 12
441.2.bb.b 24
441.2.bb.c 48
441.2.bb.d 48
441.2.bb.e 60
441.2.bb.f 72
441.2.bd \(\chi_{441}(47, \cdot)\) 441.2.bd.a 648 12
441.2.bg \(\chi_{441}(17, \cdot)\) 441.2.bg.a 216 12
441.2.bh \(\chi_{441}(20, \cdot)\) 441.2.bh.a 648 12
441.2.bn \(\chi_{441}(5, \cdot)\) 441.2.bn.a 648 12

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(441))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(441)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(21))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(49))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(63))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(147))\)\(^{\oplus 2}\)

Hecke characteristic polynomials

$p$ $F_p(T)$
$2$ (\( 1 + 2 T + 2 T^{2} \))(\( 1 + 2 T + 2 T^{2} \))(\( 1 + T + 2 T^{2} \))(\( 1 + 2 T^{2} \))(\( 1 + 2 T^{2} \))(\( 1 - T + 2 T^{2} \))(\( 1 + T^{2} + 4 T^{4} \))(\( 1 - 3 T^{2} + 4 T^{4} \))(\( 1 - 2 T + 3 T^{2} - 4 T^{3} + 4 T^{4} \))(\( 1 - 2 T + 3 T^{2} - 4 T^{3} + 4 T^{4} \))(\( ( 1 - 2 T^{2} + 4 T^{4} )^{2} \))(\( ( 1 - 2 T^{2} + T^{4} - 8 T^{6} + 16 T^{8} )^{2} \))(\( 1 + T - T^{2} + 2 T^{3} + 4 T^{4} \))(\( 1 + T - T^{2} + 2 T^{3} + 4 T^{4} \))(\( 1 - 2 T^{2} + 4 T^{4} \))(\( 1 - T - T^{2} - 2 T^{3} + 4 T^{4} \))(\( 1 - 2 T + 2 T^{2} - 4 T^{3} + 4 T^{4} \))(\( 1 + 2 T + T^{2} - 2 T^{3} - 3 T^{4} - 4 T^{5} + 4 T^{6} + 16 T^{7} + 16 T^{8} \))(\( 1 + 2 T + T^{2} - 2 T^{3} - 3 T^{4} - 4 T^{5} + 4 T^{6} + 16 T^{7} + 16 T^{8} \))(\( 1 + 3 T^{2} + 5 T^{4} + 12 T^{6} + 16 T^{8} \))(\( 1 - T^{2} - 3 T^{4} - 4 T^{6} + 16 T^{8} \))(\( 1 - T^{2} - 3 T^{4} - 4 T^{6} + 16 T^{8} \))(\( 1 + T - T^{2} + 2 T^{3} + 4 T^{4} \))(\( 1 + T - T^{2} + 2 T^{3} + 4 T^{4} \))(\( 1 + 3 T + 3 T^{2} - 3 T^{4} - 6 T^{5} - 11 T^{6} - 12 T^{7} - 12 T^{8} + 48 T^{10} + 96 T^{11} + 64 T^{12} \))(\( 1 - T - T^{2} + 4 T^{3} - 3 T^{4} - 2 T^{5} + 13 T^{6} - 4 T^{7} - 12 T^{8} + 32 T^{9} - 16 T^{10} - 32 T^{11} + 64 T^{12} \))(\( 1 - 2 T - T^{2} + 4 T^{3} - 2 T^{4} + 2 T^{5} + 6 T^{6} - 21 T^{7} + 6 T^{8} + 13 T^{9} - 5 T^{10} + 26 T^{11} + 24 T^{12} - 168 T^{13} + 96 T^{14} + 64 T^{15} - 128 T^{16} + 512 T^{17} - 256 T^{18} - 1024 T^{19} + 1024 T^{20} \))(\( 1 - 2 T - T^{2} + 4 T^{3} - 2 T^{4} + 2 T^{5} + 6 T^{6} - 21 T^{7} + 6 T^{8} + 13 T^{9} - 5 T^{10} + 26 T^{11} + 24 T^{12} - 168 T^{13} + 96 T^{14} + 64 T^{15} - 128 T^{16} + 512 T^{17} - 256 T^{18} - 1024 T^{19} + 1024 T^{20} \))(\( ( 1 + T - T^{2} - 4 T^{3} - 3 T^{4} + 2 T^{5} + 13 T^{6} + 4 T^{7} - 12 T^{8} - 32 T^{9} - 16 T^{10} + 32 T^{11} + 64 T^{12} )^{2} \))(\( 1 + T - T^{2} + 2 T^{3} + 4 T^{4} \))(\( 1 + 3 T + 3 T^{2} - 3 T^{4} - 6 T^{5} - 11 T^{6} - 12 T^{7} - 12 T^{8} + 48 T^{10} + 96 T^{11} + 64 T^{12} \))(\( 1 + 3 T + 3 T^{2} - 3 T^{4} - 6 T^{5} - 11 T^{6} - 12 T^{7} - 12 T^{8} + 48 T^{10} + 96 T^{11} + 64 T^{12} \))(\( 1 - T - T^{2} + 4 T^{3} - 3 T^{4} - 2 T^{5} + 13 T^{6} - 4 T^{7} - 12 T^{8} + 32 T^{9} - 16 T^{10} - 32 T^{11} + 64 T^{12} \))(\( 1 - T - T^{2} + 4 T^{3} - 3 T^{4} - 2 T^{5} + 13 T^{6} - 4 T^{7} - 12 T^{8} + 32 T^{9} - 16 T^{10} - 32 T^{11} + 64 T^{12} \))(\( 1 - 2 T - T^{2} + 4 T^{3} - 2 T^{4} + 2 T^{5} + 6 T^{6} - 21 T^{7} + 6 T^{8} + 13 T^{9} - 5 T^{10} + 26 T^{11} + 24 T^{12} - 168 T^{13} + 96 T^{14} + 64 T^{15} - 128 T^{16} + 512 T^{17} - 256 T^{18} - 1024 T^{19} + 1024 T^{20} \))(\( ( 1 + T - T^{2} - 4 T^{3} - 3 T^{4} + 2 T^{5} + 13 T^{6} + 4 T^{7} - 12 T^{8} - 32 T^{9} - 16 T^{10} + 32 T^{11} + 64 T^{12} )^{2} \))(\( ( 1 - T + 2 T^{2} )^{2} \))(\( ( 1 + T + 2 T^{2} + 3 T^{3} + 4 T^{4} + 4 T^{5} + 8 T^{6} )^{2} \))(\( ( 1 + T + 2 T^{2} + 3 T^{3} + 4 T^{4} + 4 T^{5} + 8 T^{6} )^{2} \))(\( ( 1 - 3 T + 6 T^{2} - 9 T^{3} + 12 T^{4} - 12 T^{5} + 8 T^{6} )^{2} \))(\( ( 1 - 3 T + 6 T^{2} - 9 T^{3} + 12 T^{4} - 12 T^{5} + 8 T^{6} )^{2} \))(\( ( 1 + 2 T + 5 T^{2} + 7 T^{3} + 13 T^{4} + 15 T^{5} + 26 T^{6} + 28 T^{7} + 40 T^{8} + 32 T^{9} + 32 T^{10} )^{2} \))(\( ( 1 - T + 2 T^{2} - 3 T^{3} + 4 T^{4} - 4 T^{5} + 8 T^{6} )^{4} \))(\( 1 - T^{2} + 4 T^{4} \))(\( 1 - 6 T^{2} + 19 T^{4} - 47 T^{6} + 103 T^{8} - 209 T^{10} + 412 T^{12} - 752 T^{14} + 1216 T^{16} - 1536 T^{18} + 1024 T^{20} \))(\( ( 1 - 5 T^{2} + 14 T^{4} - 29 T^{6} + 56 T^{8} - 80 T^{10} + 64 T^{12} )^{2} \))(\( 1 - 3 T + 5 T^{2} - 6 T^{3} + 4 T^{4} \))(\( 1 - 3 T + 5 T^{2} - 6 T^{3} + 4 T^{4} \))(\( 1 + 3 T^{2} + 4 T^{4} + 6 T^{5} - 2 T^{6} - 3 T^{7} - 14 T^{8} - 39 T^{9} + T^{10} - 78 T^{11} - 56 T^{12} - 24 T^{13} - 32 T^{14} + 192 T^{15} + 256 T^{16} + 768 T^{18} + 1024 T^{20} \))(\( 1 + 3 T^{2} + 4 T^{4} + 6 T^{5} - 2 T^{6} - 3 T^{7} - 14 T^{8} - 39 T^{9} + T^{10} - 78 T^{11} - 56 T^{12} - 24 T^{13} - 32 T^{14} + 192 T^{15} + 256 T^{16} + 768 T^{18} + 1024 T^{20} \))(\( ( 1 + 2 T^{2} )^{2}( 1 - 2 T^{2} + 4 T^{4} ) \))(\( 1 - T^{4} - 15 T^{8} - 16 T^{12} + 256 T^{16} \))(\( ( 1 + 2 T^{2} + 3 T^{4} - 14 T^{6} - 31 T^{8} - 56 T^{10} + 48 T^{12} + 128 T^{14} + 256 T^{16} )^{2} \))(\( 1 + 3 T + 5 T^{2} + 6 T^{3} + 4 T^{4} \))(\( 1 + 3 T^{2} + 4 T^{4} - 6 T^{5} - 2 T^{6} + 3 T^{7} - 14 T^{8} + 39 T^{9} + T^{10} + 78 T^{11} - 56 T^{12} + 24 T^{13} - 32 T^{14} - 192 T^{15} + 256 T^{16} + 768 T^{18} + 1024 T^{20} \))(\( ( 1 - 3 T + 7 T^{2} - 12 T^{3} + 17 T^{4} - 24 T^{5} + 31 T^{6} - 48 T^{7} + 68 T^{8} - 96 T^{9} + 112 T^{10} - 96 T^{11} + 64 T^{12} )^{2} \))(\( 1 - 3 T + 7 T^{2} - 15 T^{3} + 31 T^{4} - 49 T^{5} + 71 T^{6} - 98 T^{7} + 124 T^{8} - 120 T^{9} + 112 T^{10} - 96 T^{11} + 64 T^{12} \))(\( 1 - 2 T - T^{2} + 8 T^{3} - 14 T^{4} + 35 T^{6} - 44 T^{7} + 4 T^{8} + 72 T^{9} - 86 T^{10} - 35 T^{11} + 147 T^{12} - 70 T^{13} - 344 T^{14} + 576 T^{15} + 64 T^{16} - 1408 T^{17} + 2240 T^{18} - 3584 T^{20} + 4096 T^{21} - 1024 T^{22} - 4096 T^{23} + 4096 T^{24} \))(\( 1 + 2 T^{2} - 8 T^{6} - 16 T^{8} + 64 T^{12} - 256 T^{16} - 512 T^{18} + 2048 T^{22} + 4096 T^{24} \))
$3$ (\( 1 + 3 T + 3 T^{2} \))(\( 1 - 3 T + 3 T^{2} \))(\( 1 + 9 T^{3} + 27 T^{6} \))(\( 1 - 4 T + 10 T^{2} - 21 T^{3} + 30 T^{4} - 36 T^{5} + 27 T^{6} \))(\( 1 + T + 4 T^{2} + 6 T^{3} + 18 T^{4} + 9 T^{5} + 54 T^{6} + 54 T^{7} + 108 T^{8} + 81 T^{9} + 243 T^{10} \))(\( 1 - T + 4 T^{2} - 6 T^{3} + 18 T^{4} - 9 T^{5} + 54 T^{6} - 54 T^{7} + 108 T^{8} - 81 T^{9} + 243 T^{10} \))(\( 1 - 6 T^{2} + 30 T^{4} - 99 T^{6} + 270 T^{8} - 486 T^{10} + 729 T^{12} \))(\( 1 - 3 T + 3 T^{2} \))(\( 1 + 9 T^{3} + 27 T^{6} \))(\( 1 - 9 T^{3} + 27 T^{6} \))(\( 1 + 2 T - 2 T^{2} - 9 T^{3} - 6 T^{4} + 18 T^{5} + 27 T^{6} \))(\( 1 - 2 T - 2 T^{2} + 9 T^{3} - 6 T^{4} - 18 T^{5} + 27 T^{6} \))(\( 1 + 2 T + 4 T^{2} + 3 T^{3} - 9 T^{5} + 27 T^{7} + 108 T^{8} + 162 T^{9} + 243 T^{10} \))(\( 1 + 6 T^{2} + 12 T^{4} + 9 T^{6} + 108 T^{8} + 486 T^{10} + 729 T^{12} \))(\( 1 + 3 T^{2} \))(\( 1 + 2 T + 4 T^{2} + 3 T^{3} + 12 T^{4} + 18 T^{5} + 27 T^{6} \))(\( 1 - 2 T + 4 T^{2} - 3 T^{3} + 12 T^{4} - 18 T^{5} + 27 T^{6} \))(\( 1 - 9 T^{3} + 27 T^{6} \))(\( 1 + 9 T^{3} + 27 T^{6} \))(\( 1 - T - 5 T^{2} + 3 T^{3} + 9 T^{4} - 9 T^{5} + 27 T^{6} + 27 T^{7} - 135 T^{8} - 81 T^{9} + 243 T^{10} \))(\( 1 - 6 T^{4} + 9 T^{6} - 54 T^{8} + 729 T^{12} \))(\( 1 + 3 T^{2} \))(\( 1 - 3 T + 3 T^{2} - 9 T^{3} + 21 T^{4} - 27 T^{5} + 63 T^{6} - 81 T^{7} + 81 T^{8} - 243 T^{9} + 243 T^{10} \))(\( 1 - 6 T^{2} + 30 T^{4} - 99 T^{6} + 270 T^{8} - 486 T^{10} + 729 T^{12} \))(\( 1 + 3 T + 3 T^{2} \))(\( 1 - 3 T + 3 T^{2} \))(\( 1 + 3 T + 6 T^{2} - 24 T^{4} - 63 T^{5} - 72 T^{6} + 162 T^{8} + 243 T^{9} + 243 T^{10} \))(\( 1 - 3 T + 6 T^{2} - 24 T^{4} + 63 T^{5} - 72 T^{6} + 162 T^{8} - 243 T^{9} + 243 T^{10} \))(\( 1 - 3 T + 3 T^{2} \))(\( 1 + 9 T^{3} + 12 T^{4} - 9 T^{5} + 36 T^{6} + 81 T^{7} + 243 T^{10} \))(\( 1 - 6 T^{4} + 9 T^{6} - 54 T^{8} + 729 T^{12} \))
$5$ (\( 1 + 2 T + 5 T^{2} \))(\( 1 - 2 T + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 + 2 T + 5 T^{2} \))(\( 1 - 2 T^{2} + 25 T^{4} \))(\( ( 1 + 5 T^{2} )^{2} \))(\( 1 + 4 T + 12 T^{2} + 20 T^{3} + 25 T^{4} \))(\( 1 - 4 T + 12 T^{2} - 20 T^{3} + 25 T^{4} \))(\( ( 1 + 4 T^{2} + 25 T^{4} )^{2} \))(\( ( 1 + 48 T^{4} + 625 T^{8} )^{2} \))(\( 1 + 2 T - T^{2} + 10 T^{3} + 25 T^{4} \))(\( 1 - 2 T - T^{2} - 10 T^{3} + 25 T^{4} \))(\( 1 - 5 T^{2} + 25 T^{4} \))(\( 1 - 5 T^{2} + 25 T^{4} \))(\( 1 - 2 T - T^{2} - 10 T^{3} + 25 T^{4} \))(\( 1 + 4 T + 4 T^{2} + 8 T^{3} + 39 T^{4} + 40 T^{5} + 100 T^{6} + 500 T^{7} + 625 T^{8} \))(\( 1 - 4 T + 4 T^{2} - 8 T^{3} + 39 T^{4} - 40 T^{5} + 100 T^{6} - 500 T^{7} + 625 T^{8} \))(\( ( 1 - 5 T^{2} + 25 T^{4} )^{2} \))(\( 1 + 2 T^{2} - 21 T^{4} + 50 T^{6} + 625 T^{8} \))(\( 1 + 2 T^{2} - 21 T^{4} + 50 T^{6} + 625 T^{8} \))(\( 1 + T - 4 T^{2} + 5 T^{3} + 25 T^{4} \))(\( 1 - T - 4 T^{2} - 5 T^{3} + 25 T^{4} \))(\( 1 - 3 T - 6 T^{2} + 9 T^{3} + 69 T^{4} - 30 T^{5} - 371 T^{6} - 150 T^{7} + 1725 T^{8} + 1125 T^{9} - 3750 T^{10} - 9375 T^{11} + 15625 T^{12} \))(\( 1 + 5 T + 8 T^{2} + 7 T^{3} + 9 T^{4} - 62 T^{5} - 299 T^{6} - 310 T^{7} + 225 T^{8} + 875 T^{9} + 5000 T^{10} + 15625 T^{11} + 15625 T^{12} \))(\( 1 - 4 T - 4 T^{2} + 44 T^{3} - 41 T^{4} - 119 T^{5} + 222 T^{6} - 456 T^{7} + 1623 T^{8} + 2021 T^{9} - 16541 T^{10} + 10105 T^{11} + 40575 T^{12} - 57000 T^{13} + 138750 T^{14} - 371875 T^{15} - 640625 T^{16} + 3437500 T^{17} - 1562500 T^{18} - 7812500 T^{19} + 9765625 T^{20} \))(\( 1 + 4 T - 4 T^{2} - 44 T^{3} - 41 T^{4} + 119 T^{5} + 222 T^{6} + 456 T^{7} + 1623 T^{8} - 2021 T^{9} - 16541 T^{10} - 10105 T^{11} + 40575 T^{12} + 57000 T^{13} + 138750 T^{14} + 371875 T^{15} - 640625 T^{16} - 3437500 T^{17} - 1562500 T^{18} + 7812500 T^{19} + 9765625 T^{20} \))(\( 1 - 9 T^{2} + 18 T^{4} + 131 T^{6} - 747 T^{8} + 738 T^{10} + 3201 T^{12} + 18450 T^{14} - 466875 T^{16} + 2046875 T^{18} + 7031250 T^{20} - 87890625 T^{22} + 244140625 T^{24} \))(\( ( 1 - T + 5 T^{2} )^{2} \))(\( ( 1 + 3 T + 15 T^{2} + 27 T^{3} + 75 T^{4} + 75 T^{5} + 125 T^{6} )^{2} \))(\( ( 1 - 3 T + 15 T^{2} - 27 T^{3} + 75 T^{4} - 75 T^{5} + 125 T^{6} )^{2} \))(\( ( 1 - 5 T + 17 T^{2} - 39 T^{3} + 85 T^{4} - 125 T^{5} + 125 T^{6} )^{2} \))(\( ( 1 + 5 T + 17 T^{2} + 39 T^{3} + 85 T^{4} + 125 T^{5} + 125 T^{6} )^{2} \))(\( ( 1 - 4 T + 20 T^{2} - 62 T^{3} + 193 T^{4} - 423 T^{5} + 965 T^{6} - 1550 T^{7} + 2500 T^{8} - 2500 T^{9} + 3125 T^{10} )^{2} \))(\( ( 1 + 9 T^{2} + 63 T^{4} + 349 T^{6} + 1575 T^{8} + 5625 T^{10} + 15625 T^{12} )^{2} \))(\( 1 + T - 4 T^{2} + 5 T^{3} + 25 T^{4} \))(\( 1 + 5 T + 8 T^{2} + 7 T^{3} + 9 T^{4} - 62 T^{5} - 299 T^{6} - 310 T^{7} + 225 T^{8} + 875 T^{9} + 5000 T^{10} + 15625 T^{11} + 15625 T^{12} \))(\( 1 - 5 T + 8 T^{2} - 7 T^{3} + 9 T^{4} + 62 T^{5} - 299 T^{6} + 310 T^{7} + 225 T^{8} - 875 T^{9} + 5000 T^{10} - 15625 T^{11} + 15625 T^{12} \))(\( 1 + 3 T - 6 T^{2} - 9 T^{3} + 69 T^{4} + 30 T^{5} - 371 T^{6} + 150 T^{7} + 1725 T^{8} - 1125 T^{9} - 3750 T^{10} + 9375 T^{11} + 15625 T^{12} \))(\( 1 - 3 T - 6 T^{2} + 9 T^{3} + 69 T^{4} - 30 T^{5} - 371 T^{6} - 150 T^{7} + 1725 T^{8} + 1125 T^{9} - 3750 T^{10} - 9375 T^{11} + 15625 T^{12} \))(\( 1 + 4 T - 4 T^{2} - 44 T^{3} - 41 T^{4} + 119 T^{5} + 222 T^{6} + 456 T^{7} + 1623 T^{8} - 2021 T^{9} - 16541 T^{10} - 10105 T^{11} + 40575 T^{12} + 57000 T^{13} + 138750 T^{14} + 371875 T^{15} - 640625 T^{16} - 3437500 T^{17} - 1562500 T^{18} + 7812500 T^{19} + 9765625 T^{20} \))(\( 1 - 9 T^{2} + 18 T^{4} + 131 T^{6} - 747 T^{8} + 738 T^{10} + 3201 T^{12} + 18450 T^{14} - 466875 T^{16} + 2046875 T^{18} + 7031250 T^{20} - 87890625 T^{22} + 244140625 T^{24} \))(\( 1 - 3 T + 4 T^{2} - 15 T^{3} + 25 T^{4} \))(\( 1 - 16 T^{2} - 12 T^{3} + 129 T^{4} + 147 T^{5} - 726 T^{6} - 720 T^{7} + 3663 T^{8} + 1257 T^{9} - 18069 T^{10} + 6285 T^{11} + 91575 T^{12} - 90000 T^{13} - 453750 T^{14} + 459375 T^{15} + 2015625 T^{16} - 937500 T^{17} - 6250000 T^{18} + 9765625 T^{20} \))(\( 1 - 15 T^{2} + 84 T^{4} - 457 T^{6} + 3921 T^{8} - 20514 T^{10} + 80841 T^{12} - 512850 T^{14} + 2450625 T^{16} - 7140625 T^{18} + 32812500 T^{20} - 146484375 T^{22} + 244140625 T^{24} \))(\( 1 + 3 T + 4 T^{2} + 15 T^{3} + 25 T^{4} \))(\( 1 - 3 T + 4 T^{2} - 15 T^{3} + 25 T^{4} \))(\( 1 - 16 T^{2} - 12 T^{3} + 129 T^{4} + 147 T^{5} - 726 T^{6} - 720 T^{7} + 3663 T^{8} + 1257 T^{9} - 18069 T^{10} + 6285 T^{11} + 91575 T^{12} - 90000 T^{13} - 453750 T^{14} + 459375 T^{15} + 2015625 T^{16} - 937500 T^{17} - 6250000 T^{18} + 9765625 T^{20} \))(\( 1 - 16 T^{2} + 12 T^{3} + 129 T^{4} - 147 T^{5} - 726 T^{6} + 720 T^{7} + 3663 T^{8} - 1257 T^{9} - 18069 T^{10} - 6285 T^{11} + 91575 T^{12} + 90000 T^{13} - 453750 T^{14} - 459375 T^{15} + 2015625 T^{16} + 937500 T^{17} - 6250000 T^{18} + 9765625 T^{20} \))(\( 1 - 4 T^{2} - 9 T^{4} - 100 T^{6} + 625 T^{8} \))(\( ( 1 - 5 T^{2} + 25 T^{4} )^{4} \))(\( ( 1 - 48 T^{4} + 1679 T^{8} - 30000 T^{12} + 390625 T^{16} )^{2} \))(\( ( 1 - 3 T + 5 T^{2} )^{2} \))(\( ( 1 + 16 T^{2} + 6 T^{3} + 127 T^{4} + 51 T^{5} + 635 T^{6} + 150 T^{7} + 2000 T^{8} + 3125 T^{10} )^{2} \))(\( ( 1 + 15 T^{2} + 141 T^{4} + 829 T^{6} + 3525 T^{8} + 9375 T^{10} + 15625 T^{12} )^{2} \))(\( 1 + 6 T + 10 T^{2} - 5 T^{3} - 3 T^{4} + 161 T^{5} + 561 T^{6} + 805 T^{7} - 75 T^{8} - 625 T^{9} + 6250 T^{10} + 18750 T^{11} + 15625 T^{12} \))(\( 1 - 7 T + 18 T^{2} + 14 T^{3} - 254 T^{4} + 854 T^{5} - 976 T^{6} - 3129 T^{7} + 17440 T^{8} - 36911 T^{9} + 12729 T^{10} + 168609 T^{11} - 575211 T^{12} + 843045 T^{13} + 318225 T^{14} - 4613875 T^{15} + 10900000 T^{16} - 9778125 T^{17} - 15250000 T^{18} + 66718750 T^{19} - 99218750 T^{20} + 27343750 T^{21} + 175781250 T^{22} - 341796875 T^{23} + 244140625 T^{24} \))(\( 1 + 5 T^{2} - 125 T^{6} - 625 T^{8} + 15625 T^{12} - 390625 T^{16} - 1953125 T^{18} + 48828125 T^{22} + 244140625 T^{24} \))
$7$ (\( 1 - 7 T + 21 T^{2} - 49 T^{3} + 147 T^{4} - 343 T^{5} + 343 T^{6} \))(\( 1 + 7 T + 21 T^{2} + 35 T^{3} + 98 T^{4} + 588 T^{5} + 2107 T^{6} + 4116 T^{7} + 4802 T^{8} + 12005 T^{9} + 50421 T^{10} + 117649 T^{11} + 117649 T^{12} \))(\( 1 - T - 6 T^{2} + 13 T^{3} + 29 T^{4} - 120 T^{5} - 83 T^{6} - 840 T^{7} + 1421 T^{8} + 4459 T^{9} - 14406 T^{10} - 16807 T^{11} + 117649 T^{12} \))
$11$ (\( 1 - 2 T + 11 T^{2} \))(\( 1 - 2 T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 + 10 T^{2} + 121 T^{4} \))(\( 1 - 6 T^{2} + 121 T^{4} \))(\( ( 1 - 2 T + 11 T^{2} )^{2} \))(\( ( 1 - 2 T + 11 T^{2} )^{2} \))(\( ( 1 - 20 T^{2} + 121 T^{4} )^{2} \))(\( ( 1 - 20 T^{2} + 214 T^{4} - 2420 T^{6} + 14641 T^{8} )^{2} \))(\( 1 - 4 T + 5 T^{2} - 44 T^{3} + 121 T^{4} \))(\( 1 - 4 T + 5 T^{2} - 44 T^{3} + 121 T^{4} \))(\( 1 - 11 T^{2} + 121 T^{4} \))(\( 1 - 4 T + 5 T^{2} - 44 T^{3} + 121 T^{4} \))(\( 1 + 2 T - 7 T^{2} + 22 T^{3} + 121 T^{4} \))(\( ( 1 + 2 T - 7 T^{2} + 22 T^{3} + 121 T^{4} )^{2} \))(\( ( 1 + 2 T - 7 T^{2} + 22 T^{3} + 121 T^{4} )^{2} \))(\( 1 + 6 T^{2} - 85 T^{4} + 726 T^{6} + 14641 T^{8} \))(\( 1 - 10 T^{2} - 21 T^{4} - 1210 T^{6} + 14641 T^{8} \))(\( 1 - 10 T^{2} - 21 T^{4} - 1210 T^{6} + 14641 T^{8} \))(\( 1 + 5 T + 14 T^{2} + 55 T^{3} + 121 T^{4} \))(\( 1 + 5 T + 14 T^{2} + 55 T^{3} + 121 T^{4} \))(\( 1 + 6 T - 6 T^{2} - 18 T^{3} + 492 T^{4} + 852 T^{5} - 2873 T^{6} + 9372 T^{7} + 59532 T^{8} - 23958 T^{9} - 87846 T^{10} + 966306 T^{11} + 1771561 T^{12} \))(\( 1 - 2 T - 10 T^{2} - 34 T^{3} + 48 T^{4} + 416 T^{5} + 31 T^{6} + 4576 T^{7} + 5808 T^{8} - 45254 T^{9} - 146410 T^{10} - 322102 T^{11} + 1771561 T^{12} \))(\( 1 - 4 T - 31 T^{2} + 134 T^{3} + 607 T^{4} - 2492 T^{5} - 8385 T^{6} + 27495 T^{7} + 98940 T^{8} - 135733 T^{9} - 1043873 T^{10} - 1493063 T^{11} + 11971740 T^{12} + 36595845 T^{13} - 122764785 T^{14} - 401339092 T^{15} + 1075337527 T^{16} + 2611280914 T^{17} - 6645125311 T^{18} - 9431790764 T^{19} + 25937424601 T^{20} \))(\( 1 - 4 T - 31 T^{2} + 134 T^{3} + 607 T^{4} - 2492 T^{5} - 8385 T^{6} + 27495 T^{7} + 98940 T^{8} - 135733 T^{9} - 1043873 T^{10} - 1493063 T^{11} + 11971740 T^{12} + 36595845 T^{13} - 122764785 T^{14} - 401339092 T^{15} + 1075337527 T^{16} + 2611280914 T^{17} - 6645125311 T^{18} - 9431790764 T^{19} + 25937424601 T^{20} \))(\( ( 1 + 4 T - 16 T^{2} - 46 T^{3} + 324 T^{4} + 452 T^{5} - 2969 T^{6} + 4972 T^{7} + 39204 T^{8} - 61226 T^{9} - 234256 T^{10} + 644204 T^{11} + 1771561 T^{12} )^{2} \))(\( ( 1 - 5 T + 11 T^{2} )^{2} \))(\( ( 1 - 6 T + 42 T^{2} - 135 T^{3} + 462 T^{4} - 726 T^{5} + 1331 T^{6} )^{2} \))(\( ( 1 - 6 T + 42 T^{2} - 135 T^{3} + 462 T^{4} - 726 T^{5} + 1331 T^{6} )^{2} \))(\( ( 1 + 2 T + 14 T^{2} - 3 T^{3} + 154 T^{4} + 242 T^{5} + 1331 T^{6} )^{2} \))(\( ( 1 + 2 T + 14 T^{2} - 3 T^{3} + 154 T^{4} + 242 T^{5} + 1331 T^{6} )^{2} \))(\( ( 1 + 4 T + 47 T^{2} + 161 T^{3} + 958 T^{4} + 2589 T^{5} + 10538 T^{6} + 19481 T^{7} + 62557 T^{8} + 58564 T^{9} + 161051 T^{10} )^{2} \))(\( ( 1 - 4 T + 32 T^{2} - 87 T^{3} + 352 T^{4} - 484 T^{5} + 1331 T^{6} )^{4} \))(\( 1 + 5 T + 14 T^{2} + 55 T^{3} + 121 T^{4} \))(\( 1 - 2 T - 10 T^{2} - 34 T^{3} + 48 T^{4} + 416 T^{5} + 31 T^{6} + 4576 T^{7} + 5808 T^{8} - 45254 T^{9} - 146410 T^{10} - 322102 T^{11} + 1771561 T^{12} \))(\( 1 - 2 T - 10 T^{2} - 34 T^{3} + 48 T^{4} + 416 T^{5} + 31 T^{6} + 4576 T^{7} + 5808 T^{8} - 45254 T^{9} - 146410 T^{10} - 322102 T^{11} + 1771561 T^{12} \))(\( 1 + 6 T - 6 T^{2} - 18 T^{3} + 492 T^{4} + 852 T^{5} - 2873 T^{6} + 9372 T^{7} + 59532 T^{8} - 23958 T^{9} - 87846 T^{10} + 966306 T^{11} + 1771561 T^{12} \))(\( 1 + 6 T - 6 T^{2} - 18 T^{3} + 492 T^{4} + 852 T^{5} - 2873 T^{6} + 9372 T^{7} + 59532 T^{8} - 23958 T^{9} - 87846 T^{10} + 966306 T^{11} + 1771561 T^{12} \))(\( 1 - 4 T - 31 T^{2} + 134 T^{3} + 607 T^{4} - 2492 T^{5} - 8385 T^{6} + 27495 T^{7} + 98940 T^{8} - 135733 T^{9} - 1043873 T^{10} - 1493063 T^{11} + 11971740 T^{12} + 36595845 T^{13} - 122764785 T^{14} - 401339092 T^{15} + 1075337527 T^{16} + 2611280914 T^{17} - 6645125311 T^{18} - 9431790764 T^{19} + 25937424601 T^{20} \))(\( ( 1 + 4 T - 16 T^{2} - 46 T^{3} + 324 T^{4} + 452 T^{5} - 2969 T^{6} + 4972 T^{7} + 39204 T^{8} - 61226 T^{9} - 234256 T^{10} + 644204 T^{11} + 1771561 T^{12} )^{2} \))(\( 1 - 3 T + 14 T^{2} - 33 T^{3} + 121 T^{4} \))(\( 1 + 12 T + 105 T^{2} + 684 T^{3} + 3745 T^{4} + 17382 T^{5} + 72307 T^{6} + 270561 T^{7} + 952558 T^{8} + 3194589 T^{9} + 10673917 T^{10} + 35140479 T^{11} + 115259518 T^{12} + 360116691 T^{13} + 1058646787 T^{14} + 2799388482 T^{15} + 6634495945 T^{16} + 13329224964 T^{17} + 22507682505 T^{18} + 28295372292 T^{19} + 25937424601 T^{20} \))(\( ( 1 + 22 T^{2} + 242 T^{4} - 66 T^{5} + 2665 T^{6} - 726 T^{7} + 29282 T^{8} + 322102 T^{10} + 1771561 T^{12} )^{2} \))(\( 1 + 3 T + 14 T^{2} + 33 T^{3} + 121 T^{4} \))(\( 1 + 3 T + 14 T^{2} + 33 T^{3} + 121 T^{4} \))(\( 1 - 12 T + 105 T^{2} - 684 T^{3} + 3745 T^{4} - 17382 T^{5} + 72307 T^{6} - 270561 T^{7} + 952558 T^{8} - 3194589 T^{9} + 10673917 T^{10} - 35140479 T^{11} + 115259518 T^{12} - 360116691 T^{13} + 1058646787 T^{14} - 2799388482 T^{15} + 6634495945 T^{16} - 13329224964 T^{17} + 22507682505 T^{18} - 28295372292 T^{19} + 25937424601 T^{20} \))(\( 1 - 12 T + 105 T^{2} - 684 T^{3} + 3745 T^{4} - 17382 T^{5} + 72307 T^{6} - 270561 T^{7} + 952558 T^{8} - 3194589 T^{9} + 10673917 T^{10} - 35140479 T^{11} + 115259518 T^{12} - 360116691 T^{13} + 1058646787 T^{14} - 2799388482 T^{15} + 6634495945 T^{16} - 13329224964 T^{17} + 22507682505 T^{18} - 28295372292 T^{19} + 25937424601 T^{20} \))(\( 1 + 20 T^{2} + 279 T^{4} + 2420 T^{6} + 14641 T^{8} \))(\( 1 + 206 T^{4} + 27795 T^{8} + 3016046 T^{12} + 214358881 T^{16} \))(\( ( 1 + 20 T^{2} + 186 T^{4} - 560 T^{6} - 17245 T^{8} - 67760 T^{10} + 2723226 T^{12} + 35431220 T^{14} + 214358881 T^{16} )^{2} \))(\( 1 - 19 T^{2} + 121 T^{4} \))(\( 1 - 66 T^{2} + 2257 T^{4} - 51461 T^{6} + 855052 T^{8} - 10752323 T^{10} + 103461292 T^{12} - 753440501 T^{14} + 3998413177 T^{16} - 14147686146 T^{18} + 25937424601 T^{20} \))(\( ( 1 - 44 T^{2} + 968 T^{4} - 13307 T^{6} + 117128 T^{8} - 644204 T^{10} + 1771561 T^{12} )^{2} \))(\( 1 + 2 T - 14 T^{2} - 99 T^{3} - 177 T^{4} + 707 T^{5} + 5559 T^{6} + 7777 T^{7} - 21417 T^{8} - 131769 T^{9} - 204974 T^{10} + 322102 T^{11} + 1771561 T^{12} \))(\( 1 - 8 T + 5 T^{2} + 197 T^{3} - 931 T^{4} - 35 T^{5} + 16625 T^{6} - 60537 T^{7} - 46528 T^{8} + 987086 T^{9} - 2323147 T^{10} - 5151853 T^{11} + 40848171 T^{12} - 56670383 T^{13} - 281100787 T^{14} + 1313811466 T^{15} - 681216448 T^{16} - 9749544387 T^{17} + 29452201625 T^{18} - 682050985 T^{19} - 199568118211 T^{20} + 464515695127 T^{21} + 129687123005 T^{22} - 2282493364888 T^{23} + 3138428376721 T^{24} \))(\( 1 + 11 T^{2} - 1331 T^{6} - 14641 T^{8} + 1771561 T^{12} - 214358881 T^{16} - 2357947691 T^{18} + 285311670611 T^{22} + 3138428376721 T^{24} \))
$13$ (\( 1 + T + 13 T^{2} \))(\( 1 - T + 13 T^{2} \))(\( 1 + 13 T^{2} \))(\( 1 + 7 T + 13 T^{2} \))(\( 1 - 7 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( ( 1 + 2 T + 13 T^{2} )^{2} \))(\( ( 1 + 13 T^{2} )^{2} \))(\( 1 - 8 T + 40 T^{2} - 104 T^{3} + 169 T^{4} \))(\( 1 + 8 T + 40 T^{2} + 104 T^{3} + 169 T^{4} \))(\( ( 1 - 5 T + 13 T^{2} )^{2}( 1 + 5 T + 13 T^{2} )^{2} \))(\( ( 1 - 32 T^{2} + 592 T^{4} - 5408 T^{6} + 28561 T^{8} )^{2} \))(\( ( 1 + 2 T + 13 T^{2} )^{2} \))(\( ( 1 - 2 T + 13 T^{2} )^{2} \))(\( ( 1 - 7 T + 13 T^{2} )^{2} \))(\( ( 1 + 13 T^{2} )^{2} \))(\( ( 1 + T + 13 T^{2} )^{2} \))(\( ( 1 + 8 T + 40 T^{2} + 104 T^{3} + 169 T^{4} )^{2} \))(\( ( 1 - 8 T + 40 T^{2} - 104 T^{3} + 169 T^{4} )^{2} \))(\( ( 1 + 13 T^{2} )^{4} \))(\( ( 1 + 2 T + 13 T^{2} )^{4} \))(\( ( 1 - 2 T + 13 T^{2} )^{4} \))(\( ( 1 - 2 T + 13 T^{2} )( 1 + 7 T + 13 T^{2} ) \))(\( ( 1 - 7 T + 13 T^{2} )( 1 + 2 T + 13 T^{2} ) \))(\( 1 + 3 T + 3 T^{2} + 76 T^{3} + 45 T^{4} - 135 T^{5} + 3246 T^{6} - 1755 T^{7} + 7605 T^{8} + 166972 T^{9} + 85683 T^{10} + 1113879 T^{11} + 4826809 T^{12} \))(\( ( 1 - T - 12 T^{2} - 13 T^{3} + 169 T^{4} )^{3} \))(\( 1 + 8 T - 14 T^{2} - 182 T^{3} + 686 T^{4} + 4429 T^{5} - 12871 T^{6} - 43199 T^{7} + 305249 T^{8} + 358672 T^{9} - 3841969 T^{10} + 4662736 T^{11} + 51587081 T^{12} - 94908203 T^{13} - 367608631 T^{14} + 1644456697 T^{15} + 3311190974 T^{16} - 11420230094 T^{17} - 11420230094 T^{18} + 84835994984 T^{19} + 137858491849 T^{20} \))(\( 1 - 8 T - 14 T^{2} + 182 T^{3} + 686 T^{4} - 4429 T^{5} - 12871 T^{6} + 43199 T^{7} + 305249 T^{8} - 358672 T^{9} - 3841969 T^{10} - 4662736 T^{11} + 51587081 T^{12} + 94908203 T^{13} - 367608631 T^{14} - 1644456697 T^{15} + 3311190974 T^{16} + 11420230094 T^{17} - 11420230094 T^{18} - 84835994984 T^{19} + 137858491849 T^{20} \))(\( 1 - 39 T^{2} + 663 T^{4} - 6584 T^{6} + 67041 T^{8} - 1334385 T^{10} + 22407342 T^{12} - 225511065 T^{14} + 1914758001 T^{16} - 31779710456 T^{18} + 540829468023 T^{20} - 5376481182111 T^{22} + 23298085122481 T^{24} \))(\( ( 1 - 2 T + 13 T^{2} )( 1 + 7 T + 13 T^{2} ) \))(\( 1 + 3 T + 3 T^{2} + 76 T^{3} + 45 T^{4} - 135 T^{5} + 3246 T^{6} - 1755 T^{7} + 7605 T^{8} + 166972 T^{9} + 85683 T^{10} + 1113879 T^{11} + 4826809 T^{12} \))(\( 1 - 3 T + 3 T^{2} - 76 T^{3} + 45 T^{4} + 135 T^{5} + 3246 T^{6} + 1755 T^{7} + 7605 T^{8} - 166972 T^{9} + 85683 T^{10} - 1113879 T^{11} + 4826809 T^{12} \))(\( ( 1 - T - 12 T^{2} - 13 T^{3} + 169 T^{4} )^{3} \))(\( ( 1 + T - 12 T^{2} + 13 T^{3} + 169 T^{4} )^{3} \))(\( 1 - 8 T - 14 T^{2} + 182 T^{3} + 686 T^{4} - 4429 T^{5} - 12871 T^{6} + 43199 T^{7} + 305249 T^{8} - 358672 T^{9} - 3841969 T^{10} - 4662736 T^{11} + 51587081 T^{12} + 94908203 T^{13} - 367608631 T^{14} - 1644456697 T^{15} + 3311190974 T^{16} + 11420230094 T^{17} - 11420230094 T^{18} - 84835994984 T^{19} + 137858491849 T^{20} \))(\( 1 - 39 T^{2} + 663 T^{4} - 6584 T^{6} + 67041 T^{8} - 1334385 T^{10} + 22407342 T^{12} - 225511065 T^{14} + 1914758001 T^{16} - 31779710456 T^{18} + 540829468023 T^{20} - 5376481182111 T^{22} + 23298085122481 T^{24} \))(\( ( 1 - 2 T + 13 T^{2} )( 1 + 7 T + 13 T^{2} ) \))(\( ( 1 - T - 12 T^{2} - 13 T^{3} + 169 T^{4} )^{3} \))(\( ( 1 + T - 12 T^{2} + 13 T^{3} + 169 T^{4} )^{3} \))(\( 1 - 3 T + 3 T^{2} - 76 T^{3} + 45 T^{4} + 135 T^{5} + 3246 T^{6} + 1755 T^{7} + 7605 T^{8} - 166972 T^{9} + 85683 T^{10} - 1113879 T^{11} + 4826809 T^{12} \))(\( 1 + 3 T + 3 T^{2} + 76 T^{3} + 45 T^{4} - 135 T^{5} + 3246 T^{6} - 1755 T^{7} + 7605 T^{8} + 166972 T^{9} + 85683 T^{10} + 1113879 T^{11} + 4826809 T^{12} \))(\( 1 - 8 T - 14 T^{2} + 182 T^{3} + 686 T^{4} - 4429 T^{5} - 12871 T^{6} + 43199 T^{7} + 305249 T^{8} - 358672 T^{9} - 3841969 T^{10} - 4662736 T^{11} + 51587081 T^{12} + 94908203 T^{13} - 367608631 T^{14} - 1644456697 T^{15} + 3311190974 T^{16} + 11420230094 T^{17} - 11420230094 T^{18} - 84835994984 T^{19} + 137858491849 T^{20} \))(\( 1 - 39 T^{2} + 663 T^{4} - 6584 T^{6} + 67041 T^{8} - 1334385 T^{10} + 22407342 T^{12} - 225511065 T^{14} + 1914758001 T^{16} - 31779710456 T^{18} + 540829468023 T^{20} - 5376481182111 T^{22} + 23298085122481 T^{24} \))(\( ( 1 - 2 T + 13 T^{2} )( 1 + 5 T + 13 T^{2} ) \))(\( 1 - 6 T + 68 T^{2} - 336 T^{3} + 2292 T^{4} - 9399 T^{5} + 51837 T^{6} - 187401 T^{7} + 909867 T^{8} - 3004662 T^{9} + 13054461 T^{10} - 39060606 T^{11} + 153767523 T^{12} - 411719997 T^{13} + 1480516557 T^{14} - 3489782907 T^{15} + 11063046228 T^{16} - 21083501712 T^{17} + 55469689028 T^{18} - 63626996238 T^{19} + 137858491849 T^{20} \))(\( 1 + 33 T^{2} + 351 T^{4} + 2144 T^{6} + 53457 T^{8} + 906351 T^{10} + 9826878 T^{12} + 153173319 T^{14} + 1526785377 T^{16} + 10348678496 T^{18} + 286321483071 T^{20} + 4549330231017 T^{22} + 23298085122481 T^{24} \))(\( ( 1 - 5 T + 13 T^{2} )( 1 + 2 T + 13 T^{2} ) \))(\( ( 1 - 2 T + 13 T^{2} )( 1 + 5 T + 13 T^{2} ) \))(\( 1 - 6 T + 68 T^{2} - 336 T^{3} + 2292 T^{4} - 9399 T^{5} + 51837 T^{6} - 187401 T^{7} + 909867 T^{8} - 3004662 T^{9} + 13054461 T^{10} - 39060606 T^{11} + 153767523 T^{12} - 411719997 T^{13} + 1480516557 T^{14} - 3489782907 T^{15} + 11063046228 T^{16} - 21083501712 T^{17} + 55469689028 T^{18} - 63626996238 T^{19} + 137858491849 T^{20} \))(\( 1 + 6 T + 68 T^{2} + 336 T^{3} + 2292 T^{4} + 9399 T^{5} + 51837 T^{6} + 187401 T^{7} + 909867 T^{8} + 3004662 T^{9} + 13054461 T^{10} + 39060606 T^{11} + 153767523 T^{12} + 411719997 T^{13} + 1480516557 T^{14} + 3489782907 T^{15} + 11063046228 T^{16} + 21083501712 T^{17} + 55469689028 T^{18} + 63626996238 T^{19} + 137858491849 T^{20} \))(\( ( 1 - 5 T + 13 T^{2} )^{2}( 1 + 5 T + 13 T^{2} )^{2} \))(\( ( 1 - 13 T^{2} )^{8} \))(\( ( 1 - 32 T^{2} + 592 T^{4} - 5408 T^{6} + 28561 T^{8} )^{4} \))(\( ( 1 - 5 T + 13 T^{2} )( 1 + 2 T + 13 T^{2} ) \))(\( 1 + 6 T + 68 T^{2} + 336 T^{3} + 2292 T^{4} + 9399 T^{5} + 51837 T^{6} + 187401 T^{7} + 909867 T^{8} + 3004662 T^{9} + 13054461 T^{10} + 39060606 T^{11} + 153767523 T^{12} + 411719997 T^{13} + 1480516557 T^{14} + 3489782907 T^{15} + 11063046228 T^{16} + 21083501712 T^{17} + 55469689028 T^{18} + 63626996238 T^{19} + 137858491849 T^{20} \))(\( 1 + 33 T^{2} + 351 T^{4} + 2144 T^{6} + 53457 T^{8} + 906351 T^{10} + 9826878 T^{12} + 153173319 T^{14} + 1526785377 T^{16} + 10348678496 T^{18} + 286321483071 T^{20} + 4549330231017 T^{22} + 23298085122481 T^{24} \))(\( 1 + T^{2} - 14 T^{3} + 43 T^{4} + 602 T^{5} - 209 T^{6} + 7826 T^{7} + 7267 T^{8} - 30758 T^{9} + 28561 T^{10} + 4826809 T^{12} \))(\( 1 - 7 T + 2 T^{2} + 105 T^{3} - 74 T^{4} - 1484 T^{5} + 2174 T^{6} + 6181 T^{7} + 17379 T^{8} + 23660 T^{9} - 927256 T^{10} - 444087 T^{11} + 17334093 T^{12} - 5773131 T^{13} - 156706264 T^{14} + 51981020 T^{15} + 496361619 T^{16} + 2294962033 T^{17} + 10493482766 T^{18} - 93118799228 T^{19} - 60364073354 T^{20} + 1113472434165 T^{21} + 275716983698 T^{22} - 12545122758259 T^{23} + 23298085122481 T^{24} \))(\( ( 1 - 7 T + 36 T^{2} - 161 T^{3} + 659 T^{4} - 2520 T^{5} + 9073 T^{6} - 32760 T^{7} + 111371 T^{8} - 353717 T^{9} + 1028196 T^{10} - 2599051 T^{11} + 4826809 T^{12} )^{2} \))
$17$ (\( 1 + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 + 22 T^{2} + 289 T^{4} \))(\( ( 1 + 17 T^{2} )^{2} \))(\( 1 + 4 T + 20 T^{2} + 68 T^{3} + 289 T^{4} \))(\( 1 - 4 T + 20 T^{2} - 68 T^{3} + 289 T^{4} \))(\( ( 1 + 10 T^{2} + 289 T^{4} )^{2} \))(\( ( 1 + 16 T^{2} + 64 T^{4} + 4624 T^{6} + 83521 T^{8} )^{2} \))(\( 1 + 6 T + 19 T^{2} + 102 T^{3} + 289 T^{4} \))(\( 1 - 6 T + 19 T^{2} - 102 T^{3} + 289 T^{4} \))(\( 1 - 17 T^{2} + 289 T^{4} \))(\( 1 - 17 T^{2} + 289 T^{4} \))(\( 1 - 17 T^{2} + 289 T^{4} \))(\( 1 + 4 T - 4 T^{2} - 56 T^{3} - 161 T^{4} - 952 T^{5} - 1156 T^{6} + 19652 T^{7} + 83521 T^{8} \))(\( 1 - 4 T - 4 T^{2} + 56 T^{3} - 161 T^{4} + 952 T^{5} - 1156 T^{6} - 19652 T^{7} + 83521 T^{8} \))(\( ( 1 - 17 T^{2} + 289 T^{4} )^{2} \))(\( 1 - 22 T^{2} + 195 T^{4} - 6358 T^{6} + 83521 T^{8} \))(\( 1 - 22 T^{2} + 195 T^{4} - 6358 T^{6} + 83521 T^{8} \))(\( ( 1 + 3 T + 17 T^{2} )^{2} \))(\( ( 1 - 3 T + 17 T^{2} )^{2} \))(\( ( 1 + 6 T + 60 T^{2} + 207 T^{3} + 1020 T^{4} + 1734 T^{5} + 4913 T^{6} )^{2} \))(\( ( 1 - 12 T + 90 T^{2} - 435 T^{3} + 1530 T^{4} - 3468 T^{5} + 4913 T^{6} )^{2} \))(\( ( 1 + 12 T + 130 T^{2} + 876 T^{3} + 5203 T^{4} + 22839 T^{5} + 88451 T^{6} + 253164 T^{7} + 638690 T^{8} + 1002252 T^{9} + 1419857 T^{10} )^{2} \))(\( ( 1 - 12 T + 130 T^{2} - 876 T^{3} + 5203 T^{4} - 22839 T^{5} + 88451 T^{6} - 253164 T^{7} + 638690 T^{8} - 1002252 T^{9} + 1419857 T^{10} )^{2} \))(\( ( 1 + 18 T^{2} + 216 T^{4} + 2797 T^{6} + 62424 T^{8} + 1503378 T^{10} + 24137569 T^{12} )^{2} \))(\( 1 - 3 T - 8 T^{2} - 51 T^{3} + 289 T^{4} \))(\( 1 - 6 T - 24 T^{2} + 54 T^{3} + 1338 T^{4} - 1914 T^{5} - 18929 T^{6} - 32538 T^{7} + 386682 T^{8} + 265302 T^{9} - 2004504 T^{10} - 8519142 T^{11} + 24137569 T^{12} \))(\( 1 + 6 T - 24 T^{2} - 54 T^{3} + 1338 T^{4} + 1914 T^{5} - 18929 T^{6} + 32538 T^{7} + 386682 T^{8} - 265302 T^{9} - 2004504 T^{10} + 8519142 T^{11} + 24137569 T^{12} \))(\( 1 + 12 T + 54 T^{2} + 210 T^{3} + 1350 T^{4} + 5898 T^{5} + 19735 T^{6} + 100266 T^{7} + 390150 T^{8} + 1031730 T^{9} + 4510134 T^{10} + 17038284 T^{11} + 24137569 T^{12} \))(\( 1 - 12 T + 54 T^{2} - 210 T^{3} + 1350 T^{4} - 5898 T^{5} + 19735 T^{6} - 100266 T^{7} + 390150 T^{8} - 1031730 T^{9} + 4510134 T^{10} - 17038284 T^{11} + 24137569 T^{12} \))(\( 1 + 12 T + 14 T^{2} - 192 T^{3} + 1185 T^{4} + 11847 T^{5} - 6180 T^{6} - 65736 T^{7} + 1002861 T^{8} + 2436261 T^{9} - 7749777 T^{10} + 41416437 T^{11} + 289826829 T^{12} - 322960968 T^{13} - 516159780 T^{14} + 16821045879 T^{15} + 28603019265 T^{16} - 78785025216 T^{17} + 97660604174 T^{18} + 1423054517964 T^{19} + 2015993900449 T^{20} \))(\( 1 - 18 T^{2} + 108 T^{4} + 1706 T^{6} - 66114 T^{8} + 139734 T^{10} + 15553959 T^{12} + 40383126 T^{14} - 5521907394 T^{16} + 41178692714 T^{18} + 753381803628 T^{20} - 36287890208082 T^{22} + 582622237229761 T^{24} \))(\( 1 - 3 T - 8 T^{2} - 51 T^{3} + 289 T^{4} \))(\( 1 + 12 T + 54 T^{2} + 210 T^{3} + 1350 T^{4} + 5898 T^{5} + 19735 T^{6} + 100266 T^{7} + 390150 T^{8} + 1031730 T^{9} + 4510134 T^{10} + 17038284 T^{11} + 24137569 T^{12} \))(\( 1 - 12 T + 54 T^{2} - 210 T^{3} + 1350 T^{4} - 5898 T^{5} + 19735 T^{6} - 100266 T^{7} + 390150 T^{8} - 1031730 T^{9} + 4510134 T^{10} - 17038284 T^{11} + 24137569 T^{12} \))(\( 1 + 6 T - 24 T^{2} - 54 T^{3} + 1338 T^{4} + 1914 T^{5} - 18929 T^{6} + 32538 T^{7} + 386682 T^{8} - 265302 T^{9} - 2004504 T^{10} + 8519142 T^{11} + 24137569 T^{12} \))(\( 1 - 6 T - 24 T^{2} + 54 T^{3} + 1338 T^{4} - 1914 T^{5} - 18929 T^{6} - 32538 T^{7} + 386682 T^{8} + 265302 T^{9} - 2004504 T^{10} - 8519142 T^{11} + 24137569 T^{12} \))(\( 1 + 12 T + 14 T^{2} - 192 T^{3} + 1185 T^{4} + 11847 T^{5} - 6180 T^{6} - 65736 T^{7} + 1002861 T^{8} + 2436261 T^{9} - 7749777 T^{10} + 41416437 T^{11} + 289826829 T^{12} - 322960968 T^{13} - 516159780 T^{14} + 16821045879 T^{15} + 28603019265 T^{16} - 78785025216 T^{17} + 97660604174 T^{18} + 1423054517964 T^{19} + 2015993900449 T^{20} \))(\( 1 - 18 T^{2} + 108 T^{4} + 1706 T^{6} - 66114 T^{8} + 139734 T^{10} + 15553959 T^{12} + 40383126 T^{14} - 5521907394 T^{16} + 41178692714 T^{18} + 753381803628 T^{20} - 36287890208082 T^{22} + 582622237229761 T^{24} \))(\( 1 - 3 T - 8 T^{2} - 51 T^{3} + 289 T^{4} \))(\( 1 + 12 T + 26 T^{2} - 36 T^{3} + 1143 T^{4} + 5247 T^{5} - 21540 T^{6} - 73476 T^{7} + 337539 T^{8} - 599625 T^{9} - 13374333 T^{10} - 10193625 T^{11} + 97548771 T^{12} - 360987588 T^{13} - 1799042340 T^{14} + 7449989679 T^{15} + 27589241367 T^{16} - 14772192228 T^{17} + 181369693466 T^{18} + 1423054517964 T^{19} + 2015993900449 T^{20} \))(\( 1 - 48 T^{2} + 966 T^{4} - 10534 T^{6} + 115002 T^{8} - 2806146 T^{10} + 59116263 T^{12} - 810976194 T^{14} + 9605082042 T^{16} - 254265151846 T^{18} + 6738581688006 T^{20} - 96767707221552 T^{22} + 582622237229761 T^{24} \))(\( ( 1 - 3 T + 17 T^{2} )^{2} \))(\( ( 1 + 3 T + 17 T^{2} )^{2} \))(\( ( 1 - 12 T + 118 T^{2} - 726 T^{3} + 4069 T^{4} - 17235 T^{5} + 69173 T^{6} - 209814 T^{7} + 579734 T^{8} - 1002252 T^{9} + 1419857 T^{10} )^{2} \))(\( ( 1 + 12 T + 118 T^{2} + 726 T^{3} + 4069 T^{4} + 17235 T^{5} + 69173 T^{6} + 209814 T^{7} + 579734 T^{8} + 1002252 T^{9} + 1419857 T^{10} )^{2} \))(\( 1 - 10 T^{2} - 189 T^{4} - 2890 T^{6} + 83521 T^{8} \))(\( ( 1 - 17 T^{2} + 289 T^{4} )^{4} \))(\( ( 1 - 16 T^{2} + 192 T^{4} + 8224 T^{6} - 153409 T^{8} + 2376736 T^{10} + 16036032 T^{12} - 386201104 T^{14} + 6975757441 T^{16} )^{2} \))(\( 1 + 3 T - 8 T^{2} + 51 T^{3} + 289 T^{4} \))(\( 1 - 12 T + 26 T^{2} + 36 T^{3} + 1143 T^{4} - 5247 T^{5} - 21540 T^{6} + 73476 T^{7} + 337539 T^{8} + 599625 T^{9} - 13374333 T^{10} + 10193625 T^{11} + 97548771 T^{12} + 360987588 T^{13} - 1799042340 T^{14} - 7449989679 T^{15} + 27589241367 T^{16} + 14772192228 T^{17} + 181369693466 T^{18} - 1423054517964 T^{19} + 2015993900449 T^{20} \))(\( 1 - 48 T^{2} + 966 T^{4} - 10534 T^{6} + 115002 T^{8} - 2806146 T^{10} + 59116263 T^{12} - 810976194 T^{14} + 9605082042 T^{16} - 254265151846 T^{18} + 6738581688006 T^{20} - 96767707221552 T^{22} + 582622237229761 T^{24} \))(\( 1 + 4 T - 15 T^{2} - 226 T^{3} - 537 T^{4} + 2198 T^{5} + 21911 T^{6} + 37366 T^{7} - 155193 T^{8} - 1110338 T^{9} - 1252815 T^{10} + 5679428 T^{11} + 24137569 T^{12} \))(\( 1 + T^{2} - 21 T^{3} - 351 T^{4} - 805 T^{5} + 1285 T^{6} - 21259 T^{7} + 15840 T^{8} - 89768 T^{9} + 494247 T^{10} + 5620153 T^{11} + 32910115 T^{12} + 95542601 T^{13} + 142837383 T^{14} - 441030184 T^{15} + 1322972640 T^{16} - 30184739963 T^{17} + 31016776165 T^{18} - 330322631765 T^{19} - 2448490861791 T^{20} - 2490345406437 T^{21} + 2015993900449 T^{22} + 582622237229761 T^{24} \))(\( 1 + 17 T^{2} - 4913 T^{6} - 83521 T^{8} + 24137569 T^{12} - 6975757441 T^{16} - 118587876497 T^{18} + 34271896307633 T^{22} + 582622237229761 T^{24} \))
$19$ (\( 1 + T + 19 T^{2} \))(\( 1 - T + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 + 7 T + 19 T^{2} \))(\( 1 - 7 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( ( 1 - 4 T + 19 T^{2} )^{2} \))(\( ( 1 + 19 T^{2} )^{2} \))(\( 1 + 30 T^{2} + 361 T^{4} \))(\( 1 + 30 T^{2} + 361 T^{4} \))(\( ( 1 - 35 T^{2} + 361 T^{4} )^{2} \))(\( ( 1 + 4 T^{2} + 694 T^{4} + 1444 T^{6} + 130321 T^{8} )^{2} \))(\( 1 + 4 T - 3 T^{2} + 76 T^{3} + 361 T^{4} \))(\( 1 - 4 T - 3 T^{2} - 76 T^{3} + 361 T^{4} \))(\( ( 1 - T + 19 T^{2} )( 1 + 8 T + 19 T^{2} ) \))(\( 1 - 19 T^{2} + 361 T^{4} \))(\( ( 1 - 8 T + 19 T^{2} )( 1 + 7 T + 19 T^{2} ) \))(\( 1 - 30 T^{2} + 539 T^{4} - 10830 T^{6} + 130321 T^{8} \))(\( 1 - 30 T^{2} + 539 T^{4} - 10830 T^{6} + 130321 T^{8} \))(\( ( 1 - 19 T^{2} + 361 T^{4} )^{2} \))(\( ( 1 + 4 T - 3 T^{2} + 76 T^{3} + 361 T^{4} )^{2} \))(\( ( 1 - 4 T - 3 T^{2} - 76 T^{3} + 361 T^{4} )^{2} \))(\( ( 1 + T + 19 T^{2} )^{2} \))(\( ( 1 - T + 19 T^{2} )^{2} \))(\( ( 1 - 3 T + 51 T^{2} - 97 T^{3} + 969 T^{4} - 1083 T^{5} + 6859 T^{6} )^{2} \))(\( ( 1 - 3 T + 51 T^{2} - 107 T^{3} + 969 T^{4} - 1083 T^{5} + 6859 T^{6} )^{2} \))(\( ( 1 + T + 54 T^{2} + 122 T^{3} + 1532 T^{4} + 3483 T^{5} + 29108 T^{6} + 44042 T^{7} + 370386 T^{8} + 130321 T^{9} + 2476099 T^{10} )^{2} \))(\( ( 1 - T + 54 T^{2} - 122 T^{3} + 1532 T^{4} - 3483 T^{5} + 29108 T^{6} - 44042 T^{7} + 370386 T^{8} - 130321 T^{9} + 2476099 T^{10} )^{2} \))(\( ( 1 + 39 T^{2} + 1011 T^{4} + 20009 T^{6} + 364971 T^{8} + 5082519 T^{10} + 47045881 T^{12} )^{2} \))(\( ( 1 - 8 T + 19 T^{2} )( 1 + 7 T + 19 T^{2} ) \))(\( 1 + 3 T - 42 T^{2} - 41 T^{3} + 1341 T^{4} + 216 T^{5} - 29541 T^{6} + 4104 T^{7} + 484101 T^{8} - 281219 T^{9} - 5473482 T^{10} + 7428297 T^{11} + 47045881 T^{12} \))(\( 1 - 3 T - 42 T^{2} + 41 T^{3} + 1341 T^{4} - 216 T^{5} - 29541 T^{6} - 4104 T^{7} + 484101 T^{8} + 281219 T^{9} - 5473482 T^{10} - 7428297 T^{11} + 47045881 T^{12} \))(\( 1 + 3 T - 42 T^{2} - 61 T^{3} + 1311 T^{4} + 726 T^{5} - 27501 T^{6} + 13794 T^{7} + 473271 T^{8} - 418399 T^{9} - 5473482 T^{10} + 7428297 T^{11} + 47045881 T^{12} \))(\( 1 - 3 T - 42 T^{2} + 61 T^{3} + 1311 T^{4} - 726 T^{5} - 27501 T^{6} - 13794 T^{7} + 473271 T^{8} + 418399 T^{9} - 5473482 T^{10} - 7428297 T^{11} + 47045881 T^{12} \))(\( 1 + T - 53 T^{2} - 190 T^{3} + 1262 T^{4} + 7007 T^{5} - 13111 T^{6} - 116110 T^{7} + 67964 T^{8} + 721616 T^{9} - 440023 T^{10} + 13710704 T^{11} + 24535004 T^{12} - 796398490 T^{13} - 1708638631 T^{14} + 17350025693 T^{15} + 59371901822 T^{16} - 169835630410 T^{17} - 900128841173 T^{18} + 322687697779 T^{19} + 6131066257801 T^{20} \))(\( 1 - 39 T^{2} + 510 T^{4} + 589 T^{6} - 123201 T^{8} + 3156120 T^{10} - 72752079 T^{12} + 1139359320 T^{14} - 16055677521 T^{16} + 27710023909 T^{18} + 8661617150910 T^{20} - 239111584054239 T^{22} + 2213314919066161 T^{24} \))(\( ( 1 - 8 T + 19 T^{2} )( 1 + 7 T + 19 T^{2} ) \))(\( 1 + 3 T - 42 T^{2} - 61 T^{3} + 1311 T^{4} + 726 T^{5} - 27501 T^{6} + 13794 T^{7} + 473271 T^{8} - 418399 T^{9} - 5473482 T^{10} + 7428297 T^{11} + 47045881 T^{12} \))(\( 1 - 3 T - 42 T^{2} + 61 T^{3} + 1311 T^{4} - 726 T^{5} - 27501 T^{6} - 13794 T^{7} + 473271 T^{8} + 418399 T^{9} - 5473482 T^{10} - 7428297 T^{11} + 47045881 T^{12} \))(\( 1 - 3 T - 42 T^{2} + 41 T^{3} + 1341 T^{4} - 216 T^{5} - 29541 T^{6} - 4104 T^{7} + 484101 T^{8} + 281219 T^{9} - 5473482 T^{10} - 7428297 T^{11} + 47045881 T^{12} \))(\( 1 + 3 T - 42 T^{2} - 41 T^{3} + 1341 T^{4} + 216 T^{5} - 29541 T^{6} + 4104 T^{7} + 484101 T^{8} - 281219 T^{9} - 5473482 T^{10} + 7428297 T^{11} + 47045881 T^{12} \))(\( 1 + T - 53 T^{2} - 190 T^{3} + 1262 T^{4} + 7007 T^{5} - 13111 T^{6} - 116110 T^{7} + 67964 T^{8} + 721616 T^{9} - 440023 T^{10} + 13710704 T^{11} + 24535004 T^{12} - 796398490 T^{13} - 1708638631 T^{14} + 17350025693 T^{15} + 59371901822 T^{16} - 169835630410 T^{17} - 900128841173 T^{18} + 322687697779 T^{19} + 6131066257801 T^{20} \))(\( 1 - 39 T^{2} + 510 T^{4} + 589 T^{6} - 123201 T^{8} + 3156120 T^{10} - 72752079 T^{12} + 1139359320 T^{14} - 16055677521 T^{16} + 27710023909 T^{18} + 8661617150910 T^{20} - 239111584054239 T^{22} + 2213314919066161 T^{24} \))(\( ( 1 - 8 T + 19 T^{2} )( 1 - T + 19 T^{2} ) \))(\( 1 + 3 T + 71 T^{2} + 204 T^{3} + 2646 T^{4} + 8547 T^{5} + 74607 T^{6} + 258954 T^{7} + 1743726 T^{8} + 5989488 T^{9} + 35261703 T^{10} + 113800272 T^{11} + 629485086 T^{12} + 1776165486 T^{13} + 9722858847 T^{14} + 21163218153 T^{15} + 124483401126 T^{16} + 182349834756 T^{17} + 1205832975911 T^{18} + 968063093337 T^{19} + 6131066257801 T^{20} \))(\( 1 + 51 T^{2} + 1002 T^{4} + 10607 T^{6} + 170541 T^{8} + 4486122 T^{10} + 90313521 T^{12} + 1619490042 T^{14} + 22225073661 T^{16} + 499015659767 T^{18} + 17017530167082 T^{20} + 312684379147851 T^{22} + 2213314919066161 T^{24} \))(\( ( 1 - 7 T + 19 T^{2} )( 1 + 7 T + 19 T^{2} ) \))(\( ( 1 - 7 T + 19 T^{2} )( 1 + 7 T + 19 T^{2} ) \))(\( 1 - 133 T^{2} + 8580 T^{4} - 354546 T^{6} + 10419720 T^{8} - 227952213 T^{10} + 3761518920 T^{12} - 46204789266 T^{14} + 403653658980 T^{16} - 2258813884453 T^{18} + 6131066257801 T^{20} \))(\( 1 - 133 T^{2} + 8580 T^{4} - 354546 T^{6} + 10419720 T^{8} - 227952213 T^{10} + 3761518920 T^{12} - 46204789266 T^{14} + 403653658980 T^{16} - 2258813884453 T^{18} + 6131066257801 T^{20} \))(\( ( 1 + 3 T + 22 T^{2} + 57 T^{3} + 361 T^{4} )^{2} \))(\( ( 1 + 19 T^{2} + 361 T^{4} )^{4} \))(\( ( 1 - 4 T^{2} - 678 T^{4} + 112 T^{6} + 345539 T^{8} + 40432 T^{10} - 88357638 T^{12} - 188183524 T^{14} + 16983563041 T^{16} )^{2} \))(\( ( 1 - 8 T + 19 T^{2} )( 1 - T + 19 T^{2} ) \))(\( 1 + 3 T + 71 T^{2} + 204 T^{3} + 2646 T^{4} + 8547 T^{5} + 74607 T^{6} + 258954 T^{7} + 1743726 T^{8} + 5989488 T^{9} + 35261703 T^{10} + 113800272 T^{11} + 629485086 T^{12} + 1776165486 T^{13} + 9722858847 T^{14} + 21163218153 T^{15} + 124483401126 T^{16} + 182349834756 T^{17} + 1205832975911 T^{18} + 968063093337 T^{19} + 6131066257801 T^{20} \))(\( 1 + 51 T^{2} + 1002 T^{4} + 10607 T^{6} + 170541 T^{8} + 4486122 T^{10} + 90313521 T^{12} + 1619490042 T^{14} + 22225073661 T^{16} + 499015659767 T^{18} + 17017530167082 T^{20} + 312684379147851 T^{22} + 2213314919066161 T^{24} \))(\( ( 1 + 4 T + 46 T^{2} + 151 T^{3} + 874 T^{4} + 1444 T^{5} + 6859 T^{6} )^{2} \))(\( ( 1 + 7 T + 93 T^{2} + 455 T^{3} + 3770 T^{4} + 14868 T^{5} + 91939 T^{6} + 282492 T^{7} + 1360970 T^{8} + 3120845 T^{9} + 12119853 T^{10} + 17332693 T^{11} + 47045881 T^{12} )^{2} \))(\( ( 1 - T - 18 T^{2} + 37 T^{3} + 305 T^{4} - 1008 T^{5} - 4787 T^{6} - 19152 T^{7} + 110105 T^{8} + 253783 T^{9} - 2345778 T^{10} - 2476099 T^{11} + 47045881 T^{12} )( 1 + 8 T + 45 T^{2} + 208 T^{3} + 809 T^{4} + 2520 T^{5} + 4789 T^{6} + 47880 T^{7} + 292049 T^{8} + 1426672 T^{9} + 5864445 T^{10} + 19808792 T^{11} + 47045881 T^{12} ) \))
$23$ (\( 1 + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 8 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 34 T^{2} + 529 T^{4} \))(\( 1 + 18 T^{2} + 529 T^{4} \))(\( 1 - 4 T + 18 T^{2} - 92 T^{3} + 529 T^{4} \))(\( 1 - 4 T + 18 T^{2} - 92 T^{3} + 529 T^{4} \))(\( ( 1 - 14 T^{2} + 529 T^{4} )^{2} \))(\( ( 1 - 42 T^{2} + 529 T^{4} )^{4} \))(\( 1 - 23 T^{2} + 529 T^{4} \))(\( 1 - 23 T^{2} + 529 T^{4} \))(\( 1 - 23 T^{2} + 529 T^{4} \))(\( 1 - 8 T + 41 T^{2} - 184 T^{3} + 529 T^{4} \))(\( 1 - 23 T^{2} + 529 T^{4} \))(\( 1 + 4 T - 2 T^{2} - 112 T^{3} - 573 T^{4} - 2576 T^{5} - 1058 T^{6} + 48668 T^{7} + 279841 T^{8} \))(\( 1 + 4 T - 2 T^{2} - 112 T^{3} - 573 T^{4} - 2576 T^{5} - 1058 T^{6} + 48668 T^{7} + 279841 T^{8} \))(\( 1 - 18 T^{2} - 205 T^{4} - 9522 T^{6} + 279841 T^{8} \))(\( 1 - 34 T^{2} + 627 T^{4} - 17986 T^{6} + 279841 T^{8} \))(\( 1 - 34 T^{2} + 627 T^{4} - 17986 T^{6} + 279841 T^{8} \))(\( 1 + 3 T - 14 T^{2} + 69 T^{3} + 529 T^{4} \))(\( 1 + 3 T - 14 T^{2} + 69 T^{3} + 529 T^{4} \))(\( 1 + 12 T + 48 T^{2} + 54 T^{3} + 420 T^{4} + 6060 T^{5} + 37591 T^{6} + 139380 T^{7} + 222180 T^{8} + 657018 T^{9} + 13432368 T^{10} + 77236116 T^{11} + 148035889 T^{12} \))(\( 1 - 36 T^{2} - 18 T^{3} + 468 T^{4} + 324 T^{5} - 5393 T^{6} + 7452 T^{7} + 247572 T^{8} - 219006 T^{9} - 10074276 T^{10} + 148035889 T^{12} \))(\( 1 - 3 T - 43 T^{2} + 294 T^{3} + 6 T^{4} - 5127 T^{5} + 21792 T^{6} - 135027 T^{7} + 502362 T^{8} + 3271749 T^{9} - 33095343 T^{10} + 75250227 T^{11} + 265749498 T^{12} - 1642873509 T^{13} + 6098295072 T^{14} - 32999130561 T^{15} + 888215334 T^{16} + 1001018681418 T^{17} - 3367372367083 T^{18} - 5403457984389 T^{19} + 41426511213649 T^{20} \))(\( 1 - 3 T - 43 T^{2} + 294 T^{3} + 6 T^{4} - 5127 T^{5} + 21792 T^{6} - 135027 T^{7} + 502362 T^{8} + 3271749 T^{9} - 33095343 T^{10} + 75250227 T^{11} + 265749498 T^{12} - 1642873509 T^{13} + 6098295072 T^{14} - 32999130561 T^{15} + 888215334 T^{16} + 1001018681418 T^{17} - 3367372367083 T^{18} - 5403457984389 T^{19} + 41426511213649 T^{20} \))(\( ( 1 + 2 T - 40 T^{2} + 22 T^{3} + 858 T^{4} - 1538 T^{5} - 21221 T^{6} - 35374 T^{7} + 453882 T^{8} + 267674 T^{9} - 11193640 T^{10} + 12872686 T^{11} + 148035889 T^{12} )^{2} \))(\( ( 1 - 3 T + 23 T^{2} )^{2} \))(\( ( 1 - 12 T + 96 T^{2} - 549 T^{3} + 2208 T^{4} - 6348 T^{5} + 12167 T^{6} )^{2} \))(\( ( 1 - 12 T + 96 T^{2} - 549 T^{3} + 2208 T^{4} - 6348 T^{5} + 12167 T^{6} )^{2} \))(\( ( 1 + 36 T^{2} - 9 T^{3} + 828 T^{4} + 12167 T^{6} )^{2} \))(\( ( 1 + 36 T^{2} - 9 T^{3} + 828 T^{4} + 12167 T^{6} )^{2} \))(\( ( 1 + 3 T + 52 T^{2} + 225 T^{3} + 2023 T^{4} + 5565 T^{5} + 46529 T^{6} + 119025 T^{7} + 632684 T^{8} + 839523 T^{9} + 6436343 T^{10} )^{2} \))(\( ( 1 - 2 T + 44 T^{2} - 33 T^{3} + 1012 T^{4} - 1058 T^{5} + 12167 T^{6} )^{4} \))(\( 1 + 3 T - 14 T^{2} + 69 T^{3} + 529 T^{4} \))(\( 1 - 36 T^{2} - 18 T^{3} + 468 T^{4} + 324 T^{5} - 5393 T^{6} + 7452 T^{7} + 247572 T^{8} - 219006 T^{9} - 10074276 T^{10} + 148035889 T^{12} \))(\( 1 - 36 T^{2} - 18 T^{3} + 468 T^{4} + 324 T^{5} - 5393 T^{6} + 7452 T^{7} + 247572 T^{8} - 219006 T^{9} - 10074276 T^{10} + 148035889 T^{12} \))(\( 1 + 12 T + 48 T^{2} + 54 T^{3} + 420 T^{4} + 6060 T^{5} + 37591 T^{6} + 139380 T^{7} + 222180 T^{8} + 657018 T^{9} + 13432368 T^{10} + 77236116 T^{11} + 148035889 T^{12} \))(\( 1 + 12 T + 48 T^{2} + 54 T^{3} + 420 T^{4} + 6060 T^{5} + 37591 T^{6} + 139380 T^{7} + 222180 T^{8} + 657018 T^{9} + 13432368 T^{10} + 77236116 T^{11} + 148035889 T^{12} \))(\( 1 - 3 T - 43 T^{2} + 294 T^{3} + 6 T^{4} - 5127 T^{5} + 21792 T^{6} - 135027 T^{7} + 502362 T^{8} + 3271749 T^{9} - 33095343 T^{10} + 75250227 T^{11} + 265749498 T^{12} - 1642873509 T^{13} + 6098295072 T^{14} - 32999130561 T^{15} + 888215334 T^{16} + 1001018681418 T^{17} - 3367372367083 T^{18} - 5403457984389 T^{19} + 41426511213649 T^{20} \))(\( ( 1 + 2 T - 40 T^{2} + 22 T^{3} + 858 T^{4} - 1538 T^{5} - 21221 T^{6} - 35374 T^{7} + 453882 T^{8} + 267674 T^{9} - 11193640 T^{10} + 12872686 T^{11} + 148035889 T^{12} )^{2} \))(\( 1 - 9 T + 50 T^{2} - 207 T^{3} + 529 T^{4} \))(\( 1 + 15 T + 195 T^{2} + 1800 T^{3} + 15028 T^{4} + 107121 T^{5} + 712306 T^{6} + 4264599 T^{7} + 24178468 T^{8} + 125954103 T^{9} + 628044835 T^{10} + 2896944369 T^{11} + 12790409572 T^{12} + 51887376033 T^{13} + 199332423346 T^{14} + 689467498503 T^{15} + 2224683339892 T^{16} + 6128685804600 T^{17} + 15270642129795 T^{18} + 27017289921945 T^{19} + 41426511213649 T^{20} \))(\( ( 1 + 12 T + 130 T^{2} + 984 T^{3} + 7082 T^{4} + 39654 T^{5} + 209833 T^{6} + 912042 T^{7} + 3746378 T^{8} + 11972328 T^{9} + 36379330 T^{10} + 77236116 T^{11} + 148035889 T^{12} )^{2} \))(\( 1 + 9 T + 50 T^{2} + 207 T^{3} + 529 T^{4} \))(\( 1 + 9 T + 50 T^{2} + 207 T^{3} + 529 T^{4} \))(\( 1 - 15 T + 195 T^{2} - 1800 T^{3} + 15028 T^{4} - 107121 T^{5} + 712306 T^{6} - 4264599 T^{7} + 24178468 T^{8} - 125954103 T^{9} + 628044835 T^{10} - 2896944369 T^{11} + 12790409572 T^{12} - 51887376033 T^{13} + 199332423346 T^{14} - 689467498503 T^{15} + 2224683339892 T^{16} - 6128685804600 T^{17} + 15270642129795 T^{18} - 27017289921945 T^{19} + 41426511213649 T^{20} \))(\( 1 - 15 T + 195 T^{2} - 1800 T^{3} + 15028 T^{4} - 107121 T^{5} + 712306 T^{6} - 4264599 T^{7} + 24178468 T^{8} - 125954103 T^{9} + 628044835 T^{10} - 2896944369 T^{11} + 12790409572 T^{12} - 51887376033 T^{13} + 199332423346 T^{14} - 689467498503 T^{15} + 2224683339892 T^{16} - 6128685804600 T^{17} + 15270642129795 T^{18} - 27017289921945 T^{19} + 41426511213649 T^{20} \))(\( 1 + 14 T^{2} - 333 T^{4} + 7406 T^{6} + 279841 T^{8} \))(\( 1 + 734 T^{4} + 258915 T^{8} + 205403294 T^{12} + 78310985281 T^{16} \))(\( ( 1 + 42 T^{2} + 1235 T^{4} + 22218 T^{6} + 279841 T^{8} )^{4} \))(\( 1 - 19 T^{2} + 529 T^{4} \))(\( 1 - 165 T^{2} + 13144 T^{4} - 668429 T^{6} + 24050461 T^{8} - 639494549 T^{10} + 12722693869 T^{12} - 187053839789 T^{14} + 1945783725016 T^{16} - 12921312571365 T^{18} + 41426511213649 T^{20} \))(\( ( 1 - 116 T^{2} + 6008 T^{4} - 177947 T^{6} + 3178232 T^{8} - 32461556 T^{10} + 148035889 T^{12} )^{2} \))(\( 1 - 10 T + 7 T^{2} + 300 T^{3} - 1131 T^{4} - 5110 T^{5} + 53943 T^{6} - 117530 T^{7} - 598299 T^{8} + 3650100 T^{9} + 1958887 T^{10} - 64363430 T^{11} + 148035889 T^{12} \))(\( 1 - 2 T - 36 T^{2} + 253 T^{3} + 1043 T^{4} - 5789 T^{5} - 8190 T^{6} + 151793 T^{7} + 356927 T^{8} - 570344 T^{9} - 4524879 T^{10} + 17763963 T^{11} + 335310423 T^{12} + 408571149 T^{13} - 2393660991 T^{14} - 6939375448 T^{15} + 99882808607 T^{16} + 976991812999 T^{17} - 1212413930910 T^{18} - 19710534512683 T^{19} + 81678357648083 T^{20} + 455691623350139 T^{21} - 1491354403691364 T^{22} - 1905619515827854 T^{23} + 21914624432020321 T^{24} \))(\( 1 + 23 T^{2} - 12167 T^{6} - 279841 T^{8} + 148035889 T^{12} - 78310985281 T^{16} - 1801152661463 T^{18} + 952809757913927 T^{22} + 21914624432020321 T^{24} \))
$29$ (\( 1 + 4 T + 29 T^{2} \))(\( 1 + 4 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 - 2 T + 29 T^{2} \))(\( ( 1 + 29 T^{2} )^{2} \))(\( 1 - 54 T^{2} + 841 T^{4} \))(\( 1 - 8 T + 66 T^{2} - 232 T^{3} + 841 T^{4} \))(\( 1 - 8 T + 66 T^{2} - 232 T^{3} + 841 T^{4} \))(\( ( 1 - 50 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 - 92 T^{2} + 3670 T^{4} - 77372 T^{6} + 707281 T^{8} )^{2} \))(\( ( 1 - 2 T + 29 T^{2} )^{2} \))(\( ( 1 - 2 T + 29 T^{2} )^{2} \))(\( ( 1 + 29 T^{2} )^{2} \))(\( ( 1 + 2 T + 29 T^{2} )^{2} \))(\( ( 1 + 4 T + 29 T^{2} )^{2} \))(\( ( 1 - 8 T + 66 T^{2} - 232 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 - 8 T + 66 T^{2} - 232 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 - 54 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 + 29 T^{2} )^{4} \))(\( ( 1 + 29 T^{2} )^{4} \))(\( 1 - T - 28 T^{2} - 29 T^{3} + 841 T^{4} \))(\( 1 - T - 28 T^{2} - 29 T^{3} + 841 T^{4} \))(\( 1 + 9 T + 30 T^{2} + 81 T^{3} - 579 T^{4} - 9414 T^{5} - 59051 T^{6} - 273006 T^{7} - 486939 T^{8} + 1975509 T^{9} + 21218430 T^{10} + 184600341 T^{11} + 594823321 T^{12} \))(\( 1 + T - 82 T^{2} - 31 T^{3} + 4425 T^{4} + 758 T^{5} - 148595 T^{6} + 21982 T^{7} + 3721425 T^{8} - 756059 T^{9} - 57997042 T^{10} + 20511149 T^{11} + 594823321 T^{12} \))(\( 1 - 7 T - 76 T^{2} + 419 T^{3} + 4561 T^{4} - 15146 T^{5} - 199563 T^{6} + 341373 T^{7} + 6918636 T^{8} - 2570041 T^{9} - 219913241 T^{10} - 74531189 T^{11} + 5818572876 T^{12} + 8325746097 T^{13} - 141147118203 T^{14} - 310661862754 T^{15} + 2712989167081 T^{16} + 7227698173471 T^{17} - 38018727385036 T^{18} - 101550021831083 T^{19} + 420707233300201 T^{20} \))(\( 1 - 7 T - 76 T^{2} + 419 T^{3} + 4561 T^{4} - 15146 T^{5} - 199563 T^{6} + 341373 T^{7} + 6918636 T^{8} - 2570041 T^{9} - 219913241 T^{10} - 74531189 T^{11} + 5818572876 T^{12} + 8325746097 T^{13} - 141147118203 T^{14} - 310661862754 T^{15} + 2712989167081 T^{16} + 7227698173471 T^{17} - 38018727385036 T^{18} - 101550021831083 T^{19} + 420707233300201 T^{20} \))(\( ( 1 + 11 T + 20 T^{2} + 13 T^{3} + 1233 T^{4} + 262 T^{5} - 47411 T^{6} + 7598 T^{7} + 1036953 T^{8} + 317057 T^{9} + 14145620 T^{10} + 225622639 T^{11} + 594823321 T^{12} )^{2} \))(\( 1 - T - 28 T^{2} - 29 T^{3} + 841 T^{4} \))(\( 1 + 9 T + 30 T^{2} + 81 T^{3} - 579 T^{4} - 9414 T^{5} - 59051 T^{6} - 273006 T^{7} - 486939 T^{8} + 1975509 T^{9} + 21218430 T^{10} + 184600341 T^{11} + 594823321 T^{12} \))(\( 1 + 9 T + 30 T^{2} + 81 T^{3} - 579 T^{4} - 9414 T^{5} - 59051 T^{6} - 273006 T^{7} - 486939 T^{8} + 1975509 T^{9} + 21218430 T^{10} + 184600341 T^{11} + 594823321 T^{12} \))(\( 1 + T - 82 T^{2} - 31 T^{3} + 4425 T^{4} + 758 T^{5} - 148595 T^{6} + 21982 T^{7} + 3721425 T^{8} - 756059 T^{9} - 57997042 T^{10} + 20511149 T^{11} + 594823321 T^{12} \))(\( 1 + T - 82 T^{2} - 31 T^{3} + 4425 T^{4} + 758 T^{5} - 148595 T^{6} + 21982 T^{7} + 3721425 T^{8} - 756059 T^{9} - 57997042 T^{10} + 20511149 T^{11} + 594823321 T^{12} \))(\( 1 - 7 T - 76 T^{2} + 419 T^{3} + 4561 T^{4} - 15146 T^{5} - 199563 T^{6} + 341373 T^{7} + 6918636 T^{8} - 2570041 T^{9} - 219913241 T^{10} - 74531189 T^{11} + 5818572876 T^{12} + 8325746097 T^{13} - 141147118203 T^{14} - 310661862754 T^{15} + 2712989167081 T^{16} + 7227698173471 T^{17} - 38018727385036 T^{18} - 101550021831083 T^{19} + 420707233300201 T^{20} \))(\( ( 1 + 11 T + 20 T^{2} + 13 T^{3} + 1233 T^{4} + 262 T^{5} - 47411 T^{6} + 7598 T^{7} + 1036953 T^{8} + 317057 T^{9} + 14145620 T^{10} + 225622639 T^{11} + 594823321 T^{12} )^{2} \))(\( 1 - T - 28 T^{2} - 29 T^{3} + 841 T^{4} \))(\( 1 + T - 82 T^{2} - 31 T^{3} + 4425 T^{4} + 758 T^{5} - 148595 T^{6} + 21982 T^{7} + 3721425 T^{8} - 756059 T^{9} - 57997042 T^{10} + 20511149 T^{11} + 594823321 T^{12} \))(\( 1 + T - 82 T^{2} - 31 T^{3} + 4425 T^{4} + 758 T^{5} - 148595 T^{6} + 21982 T^{7} + 3721425 T^{8} - 756059 T^{9} - 57997042 T^{10} + 20511149 T^{11} + 594823321 T^{12} \))(\( 1 + 9 T + 30 T^{2} + 81 T^{3} - 579 T^{4} - 9414 T^{5} - 59051 T^{6} - 273006 T^{7} - 486939 T^{8} + 1975509 T^{9} + 21218430 T^{10} + 184600341 T^{11} + 594823321 T^{12} \))(\( 1 + 9 T + 30 T^{2} + 81 T^{3} - 579 T^{4} - 9414 T^{5} - 59051 T^{6} - 273006 T^{7} - 486939 T^{8} + 1975509 T^{9} + 21218430 T^{10} + 184600341 T^{11} + 594823321 T^{12} \))(\( 1 - 7 T - 76 T^{2} + 419 T^{3} + 4561 T^{4} - 15146 T^{5} - 199563 T^{6} + 341373 T^{7} + 6918636 T^{8} - 2570041 T^{9} - 219913241 T^{10} - 74531189 T^{11} + 5818572876 T^{12} + 8325746097 T^{13} - 141147118203 T^{14} - 310661862754 T^{15} + 2712989167081 T^{16} + 7227698173471 T^{17} - 38018727385036 T^{18} - 101550021831083 T^{19} + 420707233300201 T^{20} \))(\( ( 1 + 11 T + 20 T^{2} + 13 T^{3} + 1233 T^{4} + 262 T^{5} - 47411 T^{6} + 7598 T^{7} + 1036953 T^{8} + 317057 T^{9} + 14145620 T^{10} + 225622639 T^{11} + 594823321 T^{12} )^{2} \))(\( 1 + 9 T + 56 T^{2} + 261 T^{3} + 841 T^{4} \))(\( 1 + 15 T + 150 T^{2} + 1125 T^{3} + 6691 T^{4} + 30108 T^{5} + 81631 T^{6} - 232971 T^{7} - 5137202 T^{8} - 44535417 T^{9} - 275752187 T^{10} - 1291527093 T^{11} - 4320386882 T^{12} - 5681929719 T^{13} + 57736055311 T^{14} + 617549674092 T^{15} + 3979962840811 T^{16} + 19406110847625 T^{17} + 75036961944150 T^{18} + 217607189638035 T^{19} + 420707233300201 T^{20} \))(\( ( 1 - 15 T + 184 T^{2} - 1635 T^{3} + 13205 T^{4} - 85158 T^{5} + 500899 T^{6} - 2469582 T^{7} + 11105405 T^{8} - 39876015 T^{9} + 130139704 T^{10} - 307667235 T^{11} + 594823321 T^{12} )^{2} \))(\( 1 + 9 T + 56 T^{2} + 261 T^{3} + 841 T^{4} \))(\( 1 + 9 T + 56 T^{2} + 261 T^{3} + 841 T^{4} \))(\( 1 + 15 T + 150 T^{2} + 1125 T^{3} + 6691 T^{4} + 30108 T^{5} + 81631 T^{6} - 232971 T^{7} - 5137202 T^{8} - 44535417 T^{9} - 275752187 T^{10} - 1291527093 T^{11} - 4320386882 T^{12} - 5681929719 T^{13} + 57736055311 T^{14} + 617549674092 T^{15} + 3979962840811 T^{16} + 19406110847625 T^{17} + 75036961944150 T^{18} + 217607189638035 T^{19} + 420707233300201 T^{20} \))(\( 1 + 15 T + 150 T^{2} + 1125 T^{3} + 6691 T^{4} + 30108 T^{5} + 81631 T^{6} - 232971 T^{7} - 5137202 T^{8} - 44535417 T^{9} - 275752187 T^{10} - 1291527093 T^{11} - 4320386882 T^{12} - 5681929719 T^{13} + 57736055311 T^{14} + 617549674092 T^{15} + 3979962840811 T^{16} + 19406110847625 T^{17} + 75036961944150 T^{18} + 217607189638035 T^{19} + 420707233300201 T^{20} \))(\( ( 1 - 50 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 + 1234 T^{4} + 707281 T^{8} )^{2} \))(\( ( 1 - 92 T^{2} + 3670 T^{4} - 77372 T^{6} + 707281 T^{8} )^{4} \))(\( 1 + 9 T + 56 T^{2} + 261 T^{3} + 841 T^{4} \))(\( 1 + 15 T + 150 T^{2} + 1125 T^{3} + 6691 T^{4} + 30108 T^{5} + 81631 T^{6} - 232971 T^{7} - 5137202 T^{8} - 44535417 T^{9} - 275752187 T^{10} - 1291527093 T^{11} - 4320386882 T^{12} - 5681929719 T^{13} + 57736055311 T^{14} + 617549674092 T^{15} + 3979962840811 T^{16} + 19406110847625 T^{17} + 75036961944150 T^{18} + 217607189638035 T^{19} + 420707233300201 T^{20} \))(\( ( 1 - 15 T + 184 T^{2} - 1635 T^{3} + 13205 T^{4} - 85158 T^{5} + 500899 T^{6} - 2469582 T^{7} + 11105405 T^{8} - 39876015 T^{9} + 130139704 T^{10} - 307667235 T^{11} + 594823321 T^{12} )^{2} \))(\( 1 - 16 T + 129 T^{2} - 914 T^{3} + 5787 T^{4} - 30218 T^{5} + 154847 T^{6} - 876322 T^{7} + 4866867 T^{8} - 22291546 T^{9} + 91239249 T^{10} - 328178384 T^{11} + 594823321 T^{12} \))(\( 1 - 11 T + 17 T^{2} + 449 T^{3} - 1393 T^{4} - 22610 T^{5} + 151697 T^{6} + 280710 T^{7} - 4342483 T^{8} - 10376917 T^{9} + 187164155 T^{10} - 92982673 T^{11} - 3869306847 T^{12} - 2696497517 T^{13} + 157405054355 T^{14} - 253082628713 T^{15} - 3071355718723 T^{16} + 5757684635790 T^{17} + 90232913325737 T^{18} - 390019703346490 T^{19} - 696843253254673 T^{20} + 6513708543165181 T^{21} + 7152022966103417 T^{22} - 134205607422764119 T^{23} + 353814783205469041 T^{24} \))(\( ( 1 - 29 T^{2} + 841 T^{4} - 24389 T^{6} + 707281 T^{8} - 20511149 T^{10} + 594823321 T^{12} )^{2} \))
$31$ (\( 1 + 9 T + 31 T^{2} \))(\( 1 - 9 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 + 7 T + 31 T^{2} \))(\( 1 - 7 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( ( 1 - 4 T + 31 T^{2} )^{2} \))(\( ( 1 + 31 T^{2} )^{2} \))(\( 1 + 8 T + 70 T^{2} + 248 T^{3} + 961 T^{4} \))(\( 1 - 8 T + 70 T^{2} - 248 T^{3} + 961 T^{4} \))(\( ( 1 - 11 T + 31 T^{2} )^{2}( 1 + 11 T + 31 T^{2} )^{2} \))(\( ( 1 - 44 T^{2} + 2374 T^{4} - 42284 T^{6} + 923521 T^{8} )^{2} \))(\( 1 - 31 T^{2} + 961 T^{4} \))(\( 1 - 31 T^{2} + 961 T^{4} \))(\( ( 1 - 4 T + 31 T^{2} )( 1 + 11 T + 31 T^{2} ) \))(\( 1 - 31 T^{2} + 961 T^{4} \))(\( 1 - 9 T + 50 T^{2} - 279 T^{3} + 961 T^{4} \))(\( 1 + 8 T - 6 T^{2} + 64 T^{3} + 1955 T^{4} + 1984 T^{5} - 5766 T^{6} + 238328 T^{7} + 923521 T^{8} \))(\( 1 - 8 T - 6 T^{2} - 64 T^{3} + 1955 T^{4} - 1984 T^{5} - 5766 T^{6} - 238328 T^{7} + 923521 T^{8} \))(\( ( 1 - 31 T^{2} + 961 T^{4} )^{2} \))(\( ( 1 - 7 T + 31 T^{2} )^{2}( 1 + 11 T + 31 T^{2} )^{2} \))(\( ( 1 - 11 T + 31 T^{2} )^{2}( 1 + 7 T + 31 T^{2} )^{2} \))(\( 1 - 31 T^{2} + 961 T^{4} \))(\( 1 - 31 T^{2} + 961 T^{4} \))(\( 1 + 3 T - 6 T^{2} + 319 T^{3} + 171 T^{4} - 1962 T^{5} + 62727 T^{6} - 60822 T^{7} + 164331 T^{8} + 9503329 T^{9} - 5541126 T^{10} + 85887453 T^{11} + 887503681 T^{12} \))(\( 1 + 3 T - 60 T^{2} - 219 T^{3} + 1983 T^{4} + 4746 T^{5} - 51289 T^{6} + 147126 T^{7} + 1905663 T^{8} - 6524229 T^{9} - 55411260 T^{10} + 85887453 T^{11} + 887503681 T^{12} \))(\( 1 + 3 T - 125 T^{2} - 214 T^{3} + 9282 T^{4} + 8387 T^{5} - 503981 T^{6} - 245082 T^{7} + 21459514 T^{8} + 3619498 T^{9} - 734820027 T^{10} + 112204438 T^{11} + 20622592954 T^{12} - 7301237862 T^{13} - 465437037101 T^{14} + 240112689437 T^{15} + 8237809167042 T^{16} - 5887699419754 T^{17} - 106611379680125 T^{18} + 79318866482013 T^{19} + 819628286980801 T^{20} \))(\( 1 - 3 T - 125 T^{2} + 214 T^{3} + 9282 T^{4} - 8387 T^{5} - 503981 T^{6} + 245082 T^{7} + 21459514 T^{8} - 3619498 T^{9} - 734820027 T^{10} - 112204438 T^{11} + 20622592954 T^{12} + 7301237862 T^{13} - 465437037101 T^{14} - 240112689437 T^{15} + 8237809167042 T^{16} + 5887699419754 T^{17} - 106611379680125 T^{18} - 79318866482013 T^{19} + 819628286980801 T^{20} \))(\( 1 - 57 T^{2} - 678 T^{4} + 7483 T^{6} + 5054805 T^{8} - 76622886 T^{10} - 2667942615 T^{12} - 73634593446 T^{14} + 4668218568405 T^{16} + 6641190044923 T^{18} - 578260123384998 T^{20} - 46718812357905657 T^{22} + 787662783788549761 T^{24} \))(\( 1 - 31 T^{2} + 961 T^{4} \))(\( 1 + 3 T - 6 T^{2} + 319 T^{3} + 171 T^{4} - 1962 T^{5} + 62727 T^{6} - 60822 T^{7} + 164331 T^{8} + 9503329 T^{9} - 5541126 T^{10} + 85887453 T^{11} + 887503681 T^{12} \))(\( 1 - 3 T - 6 T^{2} - 319 T^{3} + 171 T^{4} + 1962 T^{5} + 62727 T^{6} + 60822 T^{7} + 164331 T^{8} - 9503329 T^{9} - 5541126 T^{10} - 85887453 T^{11} + 887503681 T^{12} \))(\( 1 + 3 T - 60 T^{2} - 219 T^{3} + 1983 T^{4} + 4746 T^{5} - 51289 T^{6} + 147126 T^{7} + 1905663 T^{8} - 6524229 T^{9} - 55411260 T^{10} + 85887453 T^{11} + 887503681 T^{12} \))(\( 1 - 3 T - 60 T^{2} + 219 T^{3} + 1983 T^{4} - 4746 T^{5} - 51289 T^{6} - 147126 T^{7} + 1905663 T^{8} + 6524229 T^{9} - 55411260 T^{10} - 85887453 T^{11} + 887503681 T^{12} \))(\( 1 - 3 T - 125 T^{2} + 214 T^{3} + 9282 T^{4} - 8387 T^{5} - 503981 T^{6} + 245082 T^{7} + 21459514 T^{8} - 3619498 T^{9} - 734820027 T^{10} - 112204438 T^{11} + 20622592954 T^{12} + 7301237862 T^{13} - 465437037101 T^{14} - 240112689437 T^{15} + 8237809167042 T^{16} + 5887699419754 T^{17} - 106611379680125 T^{18} - 79318866482013 T^{19} + 819628286980801 T^{20} \))(\( 1 - 57 T^{2} - 678 T^{4} + 7483 T^{6} + 5054805 T^{8} - 76622886 T^{10} - 2667942615 T^{12} - 73634593446 T^{14} + 4668218568405 T^{16} + 6641190044923 T^{18} - 578260123384998 T^{20} - 46718812357905657 T^{22} + 787662783788549761 T^{24} \))(\( ( 1 + 31 T^{2} )^{2} \))(\( ( 1 - 3 T + 69 T^{2} - 213 T^{3} + 2139 T^{4} - 2883 T^{5} + 29791 T^{6} )^{2} \))(\( ( 1 + 3 T + 69 T^{2} + 213 T^{3} + 2139 T^{4} + 2883 T^{5} + 29791 T^{6} )^{2} \))(\( ( 1 + 3 T + 15 T^{2} - 137 T^{3} + 465 T^{4} + 2883 T^{5} + 29791 T^{6} )^{2} \))(\( ( 1 - 3 T + 15 T^{2} + 137 T^{3} + 465 T^{4} - 2883 T^{5} + 29791 T^{6} )^{2} \))(\( ( 1 + 3 T + 134 T^{2} + 308 T^{3} + 7750 T^{4} + 13615 T^{5} + 240250 T^{6} + 295988 T^{7} + 3991994 T^{8} + 2770563 T^{9} + 28629151 T^{10} )^{2} \))(\( ( 1 + 57 T^{2} + 3927 T^{4} + 115661 T^{6} + 3773847 T^{8} + 52640697 T^{10} + 887503681 T^{12} )^{2} \))(\( 1 - 50 T^{2} + 961 T^{4} \))(\( 1 - 217 T^{2} + 22896 T^{4} - 1551294 T^{6} + 74760504 T^{8} - 2674186965 T^{10} + 71844844344 T^{12} - 1432652586174 T^{14} + 20320284280176 T^{16} - 185077355124697 T^{18} + 819628286980801 T^{20} \))(\( ( 1 - 57 T^{2} + 33 T^{4} + 47953 T^{6} + 31713 T^{8} - 52640697 T^{10} + 887503681 T^{12} )^{2} \))(\( 1 + 6 T + 43 T^{2} + 186 T^{3} + 961 T^{4} \))(\( 1 - 6 T + 43 T^{2} - 186 T^{3} + 961 T^{4} \))(\( 1 - 9 T + 149 T^{2} - 1098 T^{3} + 10878 T^{4} - 60723 T^{5} + 461409 T^{6} - 2027286 T^{7} + 13421802 T^{8} - 50078664 T^{9} + 374531595 T^{10} - 1552438584 T^{11} + 12898351722 T^{12} - 60394877226 T^{13} + 426120901089 T^{14} - 1738447936173 T^{15} + 9654265041918 T^{16} - 30208850293878 T^{17} + 127080764578709 T^{18} - 237956599446039 T^{19} + 819628286980801 T^{20} \))(\( 1 + 9 T + 149 T^{2} + 1098 T^{3} + 10878 T^{4} + 60723 T^{5} + 461409 T^{6} + 2027286 T^{7} + 13421802 T^{8} + 50078664 T^{9} + 374531595 T^{10} + 1552438584 T^{11} + 12898351722 T^{12} + 60394877226 T^{13} + 426120901089 T^{14} + 1738447936173 T^{15} + 9654265041918 T^{16} + 30208850293878 T^{17} + 127080764578709 T^{18} + 237956599446039 T^{19} + 819628286980801 T^{20} \))(\( ( 1 - 4 T + 31 T^{2} )^{2}( 1 + 7 T + 31 T^{2} )^{2} \))(\( ( 1 + 31 T^{2} + 961 T^{4} )^{4} \))(\( ( 1 + 44 T^{2} - 438 T^{4} + 19888 T^{6} + 2851859 T^{8} + 19112368 T^{10} - 404502198 T^{12} + 39050161964 T^{14} + 852891037441 T^{16} )^{2} \))(\( 1 - 6 T + 43 T^{2} - 186 T^{3} + 961 T^{4} \))(\( 1 - 9 T + 149 T^{2} - 1098 T^{3} + 10878 T^{4} - 60723 T^{5} + 461409 T^{6} - 2027286 T^{7} + 13421802 T^{8} - 50078664 T^{9} + 374531595 T^{10} - 1552438584 T^{11} + 12898351722 T^{12} - 60394877226 T^{13} + 426120901089 T^{14} - 1738447936173 T^{15} + 9654265041918 T^{16} - 30208850293878 T^{17} + 127080764578709 T^{18} - 237956599446039 T^{19} + 819628286980801 T^{20} \))(\( 1 + 57 T^{2} + 3216 T^{4} + 97787 T^{6} + 2702697 T^{8} + 47442966 T^{10} + 1072931313 T^{12} + 45592690326 T^{14} + 2495997436137 T^{16} + 86786322453947 T^{18} + 2742897576410256 T^{20} + 46718812357905657 T^{22} + 787662783788549761 T^{24} \))(\( ( 1 + 5 T + 99 T^{2} + 311 T^{3} + 3069 T^{4} + 4805 T^{5} + 29791 T^{6} )^{2} \))(\( ( 1 + 7 T + 88 T^{2} + 511 T^{3} + 4076 T^{4} + 21679 T^{5} + 134975 T^{6} + 672049 T^{7} + 3917036 T^{8} + 15223201 T^{9} + 81269848 T^{10} + 200404057 T^{11} + 887503681 T^{12} )^{2} \))(\( ( 1 - 4 T - 15 T^{2} + 184 T^{3} - 271 T^{4} - 4620 T^{5} + 26881 T^{6} - 143220 T^{7} - 260431 T^{8} + 5481544 T^{9} - 13852815 T^{10} - 114516604 T^{11} + 887503681 T^{12} )( 1 + 11 T + 90 T^{2} + 649 T^{3} + 4349 T^{4} + 27720 T^{5} + 170101 T^{6} + 859320 T^{7} + 4179389 T^{8} + 19334359 T^{9} + 83116890 T^{10} + 314920661 T^{11} + 887503681 T^{12} ) \))
$37$ (\( 1 - 3 T + 37 T^{2} \))(\( 1 - 3 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 + T + 37 T^{2} \))(\( 1 + T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( ( 1 - 2 T + 37 T^{2} )^{2} \))(\( ( 1 - 6 T + 37 T^{2} )^{2} \))(\( ( 1 + 4 T + 37 T^{2} )^{2} \))(\( ( 1 + 4 T + 37 T^{2} )^{2} \))(\( ( 1 + T + 37 T^{2} )^{4} \))(\( ( 1 + 8 T + 88 T^{2} + 296 T^{3} + 1369 T^{4} )^{4} \))(\( 1 + 6 T - T^{2} + 222 T^{3} + 1369 T^{4} \))(\( 1 + 6 T - T^{2} + 222 T^{3} + 1369 T^{4} \))(\( ( 1 - 11 T + 37 T^{2} )( 1 + 10 T + 37 T^{2} ) \))(\( 1 - 6 T - T^{2} - 222 T^{3} + 1369 T^{4} \))(\( 1 + 3 T - 28 T^{2} + 111 T^{3} + 1369 T^{4} \))(\( ( 1 - 4 T - 21 T^{2} - 148 T^{3} + 1369 T^{4} )^{2} \))(\( ( 1 - 4 T - 21 T^{2} - 148 T^{3} + 1369 T^{4} )^{2} \))(\( ( 1 + 6 T - T^{2} + 222 T^{3} + 1369 T^{4} )^{2} \))(\( ( 1 + 2 T - 33 T^{2} + 74 T^{3} + 1369 T^{4} )^{2} \))(\( ( 1 + 2 T - 33 T^{2} + 74 T^{3} + 1369 T^{4} )^{2} \))(\( ( 1 - 3 T + 37 T^{2} )^{2} \))(\( ( 1 - 3 T + 37 T^{2} )^{2} \))(\( ( 1 + 3 T + 33 T^{2} - 101 T^{3} + 1221 T^{4} + 4107 T^{5} + 50653 T^{6} )^{2} \))(\( ( 1 + 3 T + 57 T^{2} + 303 T^{3} + 2109 T^{4} + 4107 T^{5} + 50653 T^{6} )^{2} \))(\( ( 1 + 89 T^{2} + 280 T^{3} + 3418 T^{4} + 20432 T^{5} + 126466 T^{6} + 383320 T^{7} + 4508117 T^{8} + 69343957 T^{10} )^{2} \))(\( ( 1 + 89 T^{2} + 280 T^{3} + 3418 T^{4} + 20432 T^{5} + 126466 T^{6} + 383320 T^{7} + 4508117 T^{8} + 69343957 T^{10} )^{2} \))(\( ( 1 + 3 T + 87 T^{2} + 249 T^{3} + 3219 T^{4} + 4107 T^{5} + 50653 T^{6} )^{4} \))(\( 1 + 3 T - 28 T^{2} + 111 T^{3} + 1369 T^{4} \))(\( 1 - 3 T - 24 T^{2} - 301 T^{3} + 171 T^{4} + 6552 T^{5} + 58893 T^{6} + 242424 T^{7} + 234099 T^{8} - 15246553 T^{9} - 44979864 T^{10} - 208031871 T^{11} + 2565726409 T^{12} \))(\( 1 - 3 T - 24 T^{2} - 301 T^{3} + 171 T^{4} + 6552 T^{5} + 58893 T^{6} + 242424 T^{7} + 234099 T^{8} - 15246553 T^{9} - 44979864 T^{10} - 208031871 T^{11} + 2565726409 T^{12} \))(\( 1 - 3 T - 48 T^{2} + 435 T^{3} + 231 T^{4} - 8724 T^{5} + 60581 T^{6} - 322788 T^{7} + 316239 T^{8} + 22034055 T^{9} - 89959728 T^{10} - 208031871 T^{11} + 2565726409 T^{12} \))(\( 1 - 3 T - 48 T^{2} + 435 T^{3} + 231 T^{4} - 8724 T^{5} + 60581 T^{6} - 322788 T^{7} + 316239 T^{8} + 22034055 T^{9} - 89959728 T^{10} - 208031871 T^{11} + 2565726409 T^{12} \))(\( 1 - 89 T^{2} + 560 T^{3} + 4503 T^{4} - 45352 T^{5} + 27130 T^{6} + 2296536 T^{7} - 9801827 T^{8} - 33131096 T^{9} + 610977105 T^{10} - 1225850552 T^{11} - 13418701163 T^{12} + 116326438008 T^{13} + 50845987930 T^{14} - 3144887137864 T^{15} + 11553466019727 T^{16} + 53161851194480 T^{17} - 312610671398969 T^{18} + 4808584372417849 T^{20} \))(\( ( 1 - 3 T - 78 T^{2} + 237 T^{3} + 3603 T^{4} - 6456 T^{5} - 129067 T^{6} - 238872 T^{7} + 4932507 T^{8} + 12004761 T^{9} - 146184558 T^{10} - 208031871 T^{11} + 2565726409 T^{12} )^{2} \))(\( 1 + 3 T - 28 T^{2} + 111 T^{3} + 1369 T^{4} \))(\( 1 - 3 T - 48 T^{2} + 435 T^{3} + 231 T^{4} - 8724 T^{5} + 60581 T^{6} - 322788 T^{7} + 316239 T^{8} + 22034055 T^{9} - 89959728 T^{10} - 208031871 T^{11} + 2565726409 T^{12} \))(\( 1 - 3 T - 48 T^{2} + 435 T^{3} + 231 T^{4} - 8724 T^{5} + 60581 T^{6} - 322788 T^{7} + 316239 T^{8} + 22034055 T^{9} - 89959728 T^{10} - 208031871 T^{11} + 2565726409 T^{12} \))(\( 1 - 3 T - 24 T^{2} - 301 T^{3} + 171 T^{4} + 6552 T^{5} + 58893 T^{6} + 242424 T^{7} + 234099 T^{8} - 15246553 T^{9} - 44979864 T^{10} - 208031871 T^{11} + 2565726409 T^{12} \))(\( 1 - 3 T - 24 T^{2} - 301 T^{3} + 171 T^{4} + 6552 T^{5} + 58893 T^{6} + 242424 T^{7} + 234099 T^{8} - 15246553 T^{9} - 44979864 T^{10} - 208031871 T^{11} + 2565726409 T^{12} \))(\( 1 - 89 T^{2} + 560 T^{3} + 4503 T^{4} - 45352 T^{5} + 27130 T^{6} + 2296536 T^{7} - 9801827 T^{8} - 33131096 T^{9} + 610977105 T^{10} - 1225850552 T^{11} - 13418701163 T^{12} + 116326438008 T^{13} + 50845987930 T^{14} - 3144887137864 T^{15} + 11553466019727 T^{16} + 53161851194480 T^{17} - 312610671398969 T^{18} + 4808584372417849 T^{20} \))(\( ( 1 - 3 T - 78 T^{2} + 237 T^{3} + 3603 T^{4} - 6456 T^{5} - 129067 T^{6} - 238872 T^{7} + 4932507 T^{8} + 12004761 T^{9} - 146184558 T^{10} - 208031871 T^{11} + 2565726409 T^{12} )^{2} \))(\( 1 + 7 T + 12 T^{2} + 259 T^{3} + 1369 T^{4} \))(\( 1 - 6 T - 97 T^{2} + 194 T^{3} + 7179 T^{4} + 3556 T^{5} - 323794 T^{6} - 533292 T^{7} + 10739317 T^{8} + 10946526 T^{9} - 345629139 T^{10} + 405021462 T^{11} + 14702124973 T^{12} - 27012839676 T^{13} - 606842086834 T^{14} + 246587111092 T^{15} + 18419349890211 T^{16} + 18416784163802 T^{17} - 340710507030337 T^{18} - 779770438770462 T^{19} + 4808584372417849 T^{20} \))(\( ( 1 - T - 106 T^{2} + 39 T^{3} + 7417 T^{4} - 1262 T^{5} - 318347 T^{6} - 46694 T^{7} + 10153873 T^{8} + 1975467 T^{9} - 198661066 T^{10} - 69343957 T^{11} + 2565726409 T^{12} )^{2} \))(\( ( 1 - 7 T + 37 T^{2} )^{2} \))(\( ( 1 - 7 T + 37 T^{2} )^{2} \))(\( ( 1 + 6 T + 133 T^{2} + 496 T^{3} + 7534 T^{4} + 20884 T^{5} + 278758 T^{6} + 679024 T^{7} + 6736849 T^{8} + 11244966 T^{9} + 69343957 T^{10} )^{2} \))(\( ( 1 + 6 T + 133 T^{2} + 496 T^{3} + 7534 T^{4} + 20884 T^{5} + 278758 T^{6} + 679024 T^{7} + 6736849 T^{8} + 11244966 T^{9} + 69343957 T^{10} )^{2} \))(\( ( 1 - 11 T + 37 T^{2} )^{2}( 1 + 10 T + 37 T^{2} )^{2} \))(\( ( 1 + 38 T^{2} + 75 T^{4} + 52022 T^{6} + 1874161 T^{8} )^{2} \))(\( ( 1 - 8 T - 24 T^{2} - 112 T^{3} + 4007 T^{4} - 4144 T^{5} - 32856 T^{6} - 405224 T^{7} + 1874161 T^{8} )^{4} \))(\( 1 + 7 T + 12 T^{2} + 259 T^{3} + 1369 T^{4} \))(\( 1 - 6 T - 97 T^{2} + 194 T^{3} + 7179 T^{4} + 3556 T^{5} - 323794 T^{6} - 533292 T^{7} + 10739317 T^{8} + 10946526 T^{9} - 345629139 T^{10} + 405021462 T^{11} + 14702124973 T^{12} - 27012839676 T^{13} - 606842086834 T^{14} + 246587111092 T^{15} + 18419349890211 T^{16} + 18416784163802 T^{17} - 340710507030337 T^{18} - 779770438770462 T^{19} + 4808584372417849 T^{20} \))(\( ( 1 - T - 106 T^{2} + 39 T^{3} + 7417 T^{4} - 1262 T^{5} - 318347 T^{6} - 46694 T^{7} + 10153873 T^{8} + 1975467 T^{9} - 198661066 T^{10} - 69343957 T^{11} + 2565726409 T^{12} )^{2} \))(\( 1 - 4 T + 35 T^{2} + 134 T^{3} + 1193 T^{4} - 3934 T^{5} + 120891 T^{6} - 145558 T^{7} + 1633217 T^{8} + 6787502 T^{9} + 65595635 T^{10} - 277375828 T^{11} + 2565726409 T^{12} \))(\( 1 + 30 T + 419 T^{2} + 3436 T^{3} + 15204 T^{4} - 19572 T^{5} - 958447 T^{6} - 8542504 T^{7} - 41955147 T^{8} - 80200122 T^{9} + 633349064 T^{10} + 8406169968 T^{11} + 60478612229 T^{12} + 311028288816 T^{13} + 867054868616 T^{14} - 4062376779666 T^{15} - 78630700256667 T^{16} - 592371030048328 T^{17} - 2459112779526823 T^{18} - 1858006699247076 T^{19} + 53403737617414884 T^{20} + 446548537935884572 T^{21} + 2014796852043078731 T^{22} + 5337528653383812390 T^{23} + 6582952005840035281 T^{24} \))(\( ( 1 - 11 T + 37 T^{2} )^{6}( 1 - 10 T + 63 T^{2} - 260 T^{3} + 269 T^{4} + 6930 T^{5} - 79253 T^{6} + 256410 T^{7} + 368261 T^{8} - 13169780 T^{9} + 118072143 T^{10} - 693439570 T^{11} + 2565726409 T^{12} ) \))
$41$ (\( 1 + 10 T + 41 T^{2} \))(\( 1 - 10 T + 41 T^{2} \))(\( 1 + 41 T^{2} \))(\( 1 + 41 T^{2} \))(\( 1 + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 - 26 T^{2} + 1681 T^{4} \))(\( ( 1 + 41 T^{2} )^{2} \))(\( 1 + 4 T + 68 T^{2} + 164 T^{3} + 1681 T^{4} \))(\( 1 - 4 T + 68 T^{2} - 164 T^{3} + 1681 T^{4} \))(\( ( 1 + 28 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 + 96 T^{2} + 4608 T^{4} + 161376 T^{6} + 2825761 T^{8} )^{2} \))(\( ( 1 + 2 T + 41 T^{2} )^{2} \))(\( ( 1 - 2 T + 41 T^{2} )^{2} \))(\( ( 1 + 41 T^{2} )^{2} \))(\( ( 1 + 41 T^{2} )^{2} \))(\( ( 1 + 10 T + 41 T^{2} )^{2} \))(\( ( 1 - 4 T + 68 T^{2} - 164 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 + 4 T + 68 T^{2} + 164 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 + 41 T^{2} )^{4} \))(\( ( 1 - 26 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 - 26 T^{2} + 1681 T^{4} )^{2} \))(\( 1 + 5 T - 16 T^{2} + 205 T^{3} + 1681 T^{4} \))(\( 1 - 5 T - 16 T^{2} - 205 T^{3} + 1681 T^{4} \))(\( 1 - 114 T^{2} + 18 T^{3} + 8322 T^{4} - 1026 T^{5} - 394913 T^{6} - 42066 T^{7} + 13989282 T^{8} + 1240578 T^{9} - 322136754 T^{10} + 4750104241 T^{12} \))(\( 1 + 22 T + 206 T^{2} + 1802 T^{3} + 18432 T^{4} + 135116 T^{5} + 808243 T^{6} + 5539756 T^{7} + 30984192 T^{8} + 124195642 T^{9} + 582106766 T^{10} + 2548836422 T^{11} + 4750104241 T^{12} \))(\( 1 - 5 T - 136 T^{2} + 733 T^{3} + 10507 T^{4} - 54412 T^{5} - 554055 T^{6} + 2345451 T^{7} + 23706084 T^{8} - 41392439 T^{9} - 952045937 T^{10} - 1697089999 T^{11} + 39849927204 T^{12} + 161650828371 T^{13} - 1565627010855 T^{14} - 6303967608812 T^{15} + 49909345260187 T^{16} + 142754882754773 T^{17} - 1085949831160456 T^{18} - 1636909671969805 T^{19} + 13422659310152401 T^{20} \))(\( 1 + 5 T - 136 T^{2} - 733 T^{3} + 10507 T^{4} + 54412 T^{5} - 554055 T^{6} - 2345451 T^{7} + 23706084 T^{8} + 41392439 T^{9} - 952045937 T^{10} + 1697089999 T^{11} + 39849927204 T^{12} - 161650828371 T^{13} - 1565627010855 T^{14} + 6303967608812 T^{15} + 49909345260187 T^{16} - 142754882754773 T^{17} - 1085949831160456 T^{18} + 1636909671969805 T^{19} + 13422659310152401 T^{20} \))(\( 1 - 84 T^{2} + 2334 T^{4} + 75506 T^{6} - 5470866 T^{8} - 18588942 T^{10} + 7812254391 T^{12} - 31248011502 T^{14} - 15459359779026 T^{16} + 358661370820946 T^{18} + 18636815484768414 T^{20} - 1127503382052801684 T^{22} + 22563490300366186081 T^{24} \))(\( 1 + 5 T - 16 T^{2} + 205 T^{3} + 1681 T^{4} \))(\( 1 - 114 T^{2} + 18 T^{3} + 8322 T^{4} - 1026 T^{5} - 394913 T^{6} - 42066 T^{7} + 13989282 T^{8} + 1240578 T^{9} - 322136754 T^{10} + 4750104241 T^{12} \))(\( 1 - 114 T^{2} - 18 T^{3} + 8322 T^{4} + 1026 T^{5} - 394913 T^{6} + 42066 T^{7} + 13989282 T^{8} - 1240578 T^{9} - 322136754 T^{10} + 4750104241 T^{12} \))(\( 1 + 22 T + 206 T^{2} + 1802 T^{3} + 18432 T^{4} + 135116 T^{5} + 808243 T^{6} + 5539756 T^{7} + 30984192 T^{8} + 124195642 T^{9} + 582106766 T^{10} + 2548836422 T^{11} + 4750104241 T^{12} \))(\( 1 - 22 T + 206 T^{2} - 1802 T^{3} + 18432 T^{4} - 135116 T^{5} + 808243 T^{6} - 5539756 T^{7} + 30984192 T^{8} - 124195642 T^{9} + 582106766 T^{10} - 2548836422 T^{11} + 4750104241 T^{12} \))(\( 1 + 5 T - 136 T^{2} - 733 T^{3} + 10507 T^{4} + 54412 T^{5} - 554055 T^{6} - 2345451 T^{7} + 23706084 T^{8} + 41392439 T^{9} - 952045937 T^{10} + 1697089999 T^{11} + 39849927204 T^{12} - 161650828371 T^{13} - 1565627010855 T^{14} + 6303967608812 T^{15} + 49909345260187 T^{16} - 142754882754773 T^{17} - 1085949831160456 T^{18} + 1636909671969805 T^{19} + 13422659310152401 T^{20} \))(\( 1 - 84 T^{2} + 2334 T^{4} + 75506 T^{6} - 5470866 T^{8} - 18588942 T^{10} + 7812254391 T^{12} - 31248011502 T^{14} - 15459359779026 T^{16} + 358661370820946 T^{18} + 18636815484768414 T^{20} - 1127503382052801684 T^{22} + 22563490300366186081 T^{24} \))(\( 1 + 5 T - 16 T^{2} + 205 T^{3} + 1681 T^{4} \))(\( 1 + 22 T + 206 T^{2} + 1802 T^{3} + 18432 T^{4} + 135116 T^{5} + 808243 T^{6} + 5539756 T^{7} + 30984192 T^{8} + 124195642 T^{9} + 582106766 T^{10} + 2548836422 T^{11} + 4750104241 T^{12} \))(\( 1 - 22 T + 206 T^{2} - 1802 T^{3} + 18432 T^{4} - 135116 T^{5} + 808243 T^{6} - 5539756 T^{7} + 30984192 T^{8} - 124195642 T^{9} + 582106766 T^{10} - 2548836422 T^{11} + 4750104241 T^{12} \))(\( 1 - 114 T^{2} - 18 T^{3} + 8322 T^{4} + 1026 T^{5} - 394913 T^{6} + 42066 T^{7} + 13989282 T^{8} - 1240578 T^{9} - 322136754 T^{10} + 4750104241 T^{12} \))(\( 1 - 114 T^{2} + 18 T^{3} + 8322 T^{4} - 1026 T^{5} - 394913 T^{6} - 42066 T^{7} + 13989282 T^{8} + 1240578 T^{9} - 322136754 T^{10} + 4750104241 T^{12} \))(\( 1 + 5 T - 136 T^{2} - 733 T^{3} + 10507 T^{4} + 54412 T^{5} - 554055 T^{6} - 2345451 T^{7} + 23706084 T^{8} + 41392439 T^{9} - 952045937 T^{10} + 1697089999 T^{11} + 39849927204 T^{12} - 161650828371 T^{13} - 1565627010855 T^{14} + 6303967608812 T^{15} + 49909345260187 T^{16} - 142754882754773 T^{17} - 1085949831160456 T^{18} + 1636909671969805 T^{19} + 13422659310152401 T^{20} \))(\( 1 - 84 T^{2} + 2334 T^{4} + 75506 T^{6} - 5470866 T^{8} - 18588942 T^{10} + 7812254391 T^{12} - 31248011502 T^{14} - 15459359779026 T^{16} + 358661370820946 T^{18} + 18636815484768414 T^{20} - 1127503382052801684 T^{22} + 22563490300366186081 T^{24} \))(\( 1 - 3 T - 32 T^{2} - 123 T^{3} + 1681 T^{4} \))(\( 1 + 9 T - 34 T^{2} - 747 T^{3} - 2085 T^{4} + 20394 T^{5} + 110775 T^{6} - 623979 T^{7} - 5992218 T^{8} + 18494757 T^{9} + 381591615 T^{10} + 758285037 T^{11} - 10072918458 T^{12} - 43005256659 T^{13} + 313023674775 T^{14} + 2362771363194 T^{15} - 9903967342485 T^{16} - 145481442589107 T^{17} - 271487457790114 T^{18} + 2946437409545649 T^{19} + 13422659310152401 T^{20} \))(\( 1 - 174 T^{2} + 15930 T^{4} - 1039210 T^{6} + 54933612 T^{8} - 2550462528 T^{10} + 108692576859 T^{12} - 4287327509568 T^{14} + 155229258378732 T^{16} - 4936355828289610 T^{18} + 127199858899897530 T^{20} - 2335542719966517774 T^{22} + 22563490300366186081 T^{24} \))(\( 1 + 3 T - 32 T^{2} + 123 T^{3} + 1681 T^{4} \))(\( 1 - 3 T - 32 T^{2} - 123 T^{3} + 1681 T^{4} \))(\( 1 + 9 T - 34 T^{2} - 747 T^{3} - 2085 T^{4} + 20394 T^{5} + 110775 T^{6} - 623979 T^{7} - 5992218 T^{8} + 18494757 T^{9} + 381591615 T^{10} + 758285037 T^{11} - 10072918458 T^{12} - 43005256659 T^{13} + 313023674775 T^{14} + 2362771363194 T^{15} - 9903967342485 T^{16} - 145481442589107 T^{17} - 271487457790114 T^{18} + 2946437409545649 T^{19} + 13422659310152401 T^{20} \))(\( 1 - 9 T - 34 T^{2} + 747 T^{3} - 2085 T^{4} - 20394 T^{5} + 110775 T^{6} + 623979 T^{7} - 5992218 T^{8} - 18494757 T^{9} + 381591615 T^{10} - 758285037 T^{11} - 10072918458 T^{12} + 43005256659 T^{13} + 313023674775 T^{14} - 2362771363194 T^{15} - 9903967342485 T^{16} + 145481442589107 T^{17} - 271487457790114 T^{18} - 2946437409545649 T^{19} + 13422659310152401 T^{20} \))(\( ( 1 + 28 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 + 41 T^{2} )^{8} \))(\( ( 1 + 96 T^{2} + 4608 T^{4} + 161376 T^{6} + 2825761 T^{8} )^{4} \))(\( 1 + 3 T - 32 T^{2} + 123 T^{3} + 1681 T^{4} \))(\( 1 - 9 T - 34 T^{2} + 747 T^{3} - 2085 T^{4} - 20394 T^{5} + 110775 T^{6} + 623979 T^{7} - 5992218 T^{8} - 18494757 T^{9} + 381591615 T^{10} - 758285037 T^{11} - 10072918458 T^{12} + 43005256659 T^{13} + 313023674775 T^{14} - 2362771363194 T^{15} - 9903967342485 T^{16} + 145481442589107 T^{17} - 271487457790114 T^{18} - 2946437409545649 T^{19} + 13422659310152401 T^{20} \))(\( 1 - 174 T^{2} + 15930 T^{4} - 1039210 T^{6} + 54933612 T^{8} - 2550462528 T^{10} + 108692576859 T^{12} - 4287327509568 T^{14} + 155229258378732 T^{16} - 4936355828289610 T^{18} + 127199858899897530 T^{20} - 2335542719966517774 T^{22} + 22563490300366186081 T^{24} \))(\( 1 + 15 T^{2} - 112 T^{3} + 1317 T^{4} - 3178 T^{5} - 18717 T^{6} - 130298 T^{7} + 2213877 T^{8} - 7719152 T^{9} + 42386415 T^{10} + 4750104241 T^{12} \))(\( 1 + 21 T + 114 T^{2} - 1015 T^{3} - 13416 T^{4} + 24332 T^{5} + 1124617 T^{6} + 5080138 T^{7} - 22183975 T^{8} - 257369588 T^{9} - 213592702 T^{10} + 7739726694 T^{11} + 66231437167 T^{12} + 317328794454 T^{13} - 359049332062 T^{14} - 17738169374548 T^{15} - 62686611379975 T^{16} + 588565489235738 T^{17} + 5342047981200697 T^{18} + 4738760992072492 T^{19} - 107125756873887336 T^{20} - 332292663409870415 T^{21} + 1530183161357373714 T^{22} + 11556909666041217261 T^{23} + 22563490300366186081 T^{24} \))(\( ( 1 - 41 T^{2} + 1681 T^{4} - 68921 T^{6} + 2825761 T^{8} - 115856201 T^{10} + 4750104241 T^{12} )^{2} \))
$43$ (\( 1 - 5 T + 43 T^{2} \))(\( 1 - 5 T + 43 T^{2} \))(\( 1 + 12 T + 43 T^{2} \))(\( 1 - 5 T + 43 T^{2} \))(\( 1 - 5 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( ( 1 + 4 T + 43 T^{2} )^{2} \))(\( ( 1 - 12 T + 43 T^{2} )^{2} \))(\( 1 + 54 T^{2} + 1849 T^{4} \))(\( 1 + 54 T^{2} + 1849 T^{4} \))(\( ( 1 + T + 43 T^{2} )^{4} \))(\( ( 1 + 8 T + 30 T^{2} + 344 T^{3} + 1849 T^{4} )^{4} \))(\( ( 1 + 4 T + 43 T^{2} )^{2} \))(\( ( 1 + 4 T + 43 T^{2} )^{2} \))(\( ( 1 - 5 T + 43 T^{2} )^{2} \))(\( ( 1 + 12 T + 43 T^{2} )^{2} \))(\( ( 1 - 5 T + 43 T^{2} )^{2} \))(\( ( 1 + 54 T^{2} + 1849 T^{4} )^{2} \))(\( ( 1 + 54 T^{2} + 1849 T^{4} )^{2} \))(\( ( 1 - 12 T + 43 T^{2} )^{4} \))(\( ( 1 + 4 T + 43 T^{2} )^{4} \))(\( ( 1 + 4 T + 43 T^{2} )^{4} \))(\( 1 - T - 42 T^{2} - 43 T^{3} + 1849 T^{4} \))(\( 1 - T - 42 T^{2} - 43 T^{3} + 1849 T^{4} \))(\( 1 - 3 T - 114 T^{2} + 149 T^{3} + 9063 T^{4} - 5670 T^{5} - 441093 T^{6} - 243810 T^{7} + 16757487 T^{8} + 11846543 T^{9} - 389743314 T^{10} - 441025329 T^{11} + 6321363049 T^{12} \))(\( 1 - 3 T - 54 T^{2} + 569 T^{3} + 123 T^{4} - 13170 T^{5} + 115347 T^{6} - 566310 T^{7} + 227427 T^{8} + 45239483 T^{9} - 184615254 T^{10} - 441025329 T^{11} + 6321363049 T^{12} \))(\( 1 + 7 T - 77 T^{2} - 66 T^{3} + 7014 T^{4} - 3843 T^{5} - 95427 T^{6} + 1632678 T^{7} - 3708600 T^{8} - 15416324 T^{9} + 670279801 T^{10} - 662901932 T^{11} - 6857201400 T^{12} + 129809329746 T^{13} - 326245923027 T^{14} - 564953446449 T^{15} + 44338040425686 T^{16} - 17940028333062 T^{17} - 899991421375277 T^{18} + 3518148283557901 T^{19} + 21611482313284249 T^{20} \))(\( 1 + 7 T - 77 T^{2} - 66 T^{3} + 7014 T^{4} - 3843 T^{5} - 95427 T^{6} + 1632678 T^{7} - 3708600 T^{8} - 15416324 T^{9} + 670279801 T^{10} - 662901932 T^{11} - 6857201400 T^{12} + 129809329746 T^{13} - 326245923027 T^{14} - 564953446449 T^{15} + 44338040425686 T^{16} - 17940028333062 T^{17} - 899991421375277 T^{18} + 3518148283557901 T^{19} + 21611482313284249 T^{20} \))(\( ( 1 + 3 T - 96 T^{2} - 255 T^{3} + 5655 T^{4} + 8382 T^{5} - 250477 T^{6} + 360426 T^{7} + 10456095 T^{8} - 20274285 T^{9} - 328204896 T^{10} + 441025329 T^{11} + 6321363049 T^{12} )^{2} \))(\( 1 - T - 42 T^{2} - 43 T^{3} + 1849 T^{4} \))(\( 1 - 3 T - 114 T^{2} + 149 T^{3} + 9063 T^{4} - 5670 T^{5} - 441093 T^{6} - 243810 T^{7} + 16757487 T^{8} + 11846543 T^{9} - 389743314 T^{10} - 441025329 T^{11} + 6321363049 T^{12} \))(\( 1 - 3 T - 114 T^{2} + 149 T^{3} + 9063 T^{4} - 5670 T^{5} - 441093 T^{6} - 243810 T^{7} + 16757487 T^{8} + 11846543 T^{9} - 389743314 T^{10} - 441025329 T^{11} + 6321363049 T^{12} \))(\( 1 - 3 T - 54 T^{2} + 569 T^{3} + 123 T^{4} - 13170 T^{5} + 115347 T^{6} - 566310 T^{7} + 227427 T^{8} + 45239483 T^{9} - 184615254 T^{10} - 441025329 T^{11} + 6321363049 T^{12} \))(\( 1 - 3 T - 54 T^{2} + 569 T^{3} + 123 T^{4} - 13170 T^{5} + 115347 T^{6} - 566310 T^{7} + 227427 T^{8} + 45239483 T^{9} - 184615254 T^{10} - 441025329 T^{11} + 6321363049 T^{12} \))(\( 1 + 7 T - 77 T^{2} - 66 T^{3} + 7014 T^{4} - 3843 T^{5} - 95427 T^{6} + 1632678 T^{7} - 3708600 T^{8} - 15416324 T^{9} + 670279801 T^{10} - 662901932 T^{11} - 6857201400 T^{12} + 129809329746 T^{13} - 326245923027 T^{14} - 564953446449 T^{15} + 44338040425686 T^{16} - 17940028333062 T^{17} - 899991421375277 T^{18} + 3518148283557901 T^{19} + 21611482313284249 T^{20} \))(\( ( 1 + 3 T - 96 T^{2} - 255 T^{3} + 5655 T^{4} + 8382 T^{5} - 250477 T^{6} + 360426 T^{7} + 10456095 T^{8} - 20274285 T^{9} - 328204896 T^{10} + 441025329 T^{11} + 6321363049 T^{12} )^{2} \))(\( 1 - T - 42 T^{2} - 43 T^{3} + 1849 T^{4} \))(\( 1 - 3 T - 54 T^{2} + 569 T^{3} + 123 T^{4} - 13170 T^{5} + 115347 T^{6} - 566310 T^{7} + 227427 T^{8} + 45239483 T^{9} - 184615254 T^{10} - 441025329 T^{11} + 6321363049 T^{12} \))(\( 1 - 3 T - 54 T^{2} + 569 T^{3} + 123 T^{4} - 13170 T^{5} + 115347 T^{6} - 566310 T^{7} + 227427 T^{8} + 45239483 T^{9} - 184615254 T^{10} - 441025329 T^{11} + 6321363049 T^{12} \))(\( 1 - 3 T - 114 T^{2} + 149 T^{3} + 9063 T^{4} - 5670 T^{5} - 441093 T^{6} - 243810 T^{7} + 16757487 T^{8} + 11846543 T^{9} - 389743314 T^{10} - 441025329 T^{11} + 6321363049 T^{12} \))(\( 1 - 3 T - 114 T^{2} + 149 T^{3} + 9063 T^{4} - 5670 T^{5} - 441093 T^{6} - 243810 T^{7} + 16757487 T^{8} + 11846543 T^{9} - 389743314 T^{10} - 441025329 T^{11} + 6321363049 T^{12} \))(\( 1 + 7 T - 77 T^{2} - 66 T^{3} + 7014 T^{4} - 3843 T^{5} - 95427 T^{6} + 1632678 T^{7} - 3708600 T^{8} - 15416324 T^{9} + 670279801 T^{10} - 662901932 T^{11} - 6857201400 T^{12} + 129809329746 T^{13} - 326245923027 T^{14} - 564953446449 T^{15} + 44338040425686 T^{16} - 17940028333062 T^{17} - 899991421375277 T^{18} + 3518148283557901 T^{19} + 21611482313284249 T^{20} \))(\( ( 1 + 3 T - 96 T^{2} - 255 T^{3} + 5655 T^{4} + 8382 T^{5} - 250477 T^{6} + 360426 T^{7} + 10456095 T^{8} - 20274285 T^{9} - 328204896 T^{10} + 441025329 T^{11} + 6321363049 T^{12} )^{2} \))(\( 1 + T - 42 T^{2} + 43 T^{3} + 1849 T^{4} \))(\( 1 - 3 T - 79 T^{2} + 1100 T^{3} + 1674 T^{4} - 79931 T^{5} + 324899 T^{6} + 3229902 T^{7} - 28512986 T^{8} - 52724394 T^{9} + 1438527201 T^{10} - 2267148942 T^{11} - 52720511114 T^{12} + 256799818314 T^{13} + 1110765026099 T^{14} - 11750531857433 T^{15} + 10581961744026 T^{16} + 299000472217700 T^{17} - 923367821930479 T^{18} - 1507777835810529 T^{19} + 21611482313284249 T^{20} \))(\( ( 1 + 5 T - 58 T^{2} - 51 T^{3} + 2155 T^{4} - 7106 T^{5} - 129149 T^{6} - 305558 T^{7} + 3984595 T^{8} - 4054857 T^{9} - 198290458 T^{10} + 735042215 T^{11} + 6321363049 T^{12} )^{2} \))(\( 1 + T - 42 T^{2} + 43 T^{3} + 1849 T^{4} \))(\( 1 + T - 42 T^{2} + 43 T^{3} + 1849 T^{4} \))(\( 1 - 3 T - 79 T^{2} + 1100 T^{3} + 1674 T^{4} - 79931 T^{5} + 324899 T^{6} + 3229902 T^{7} - 28512986 T^{8} - 52724394 T^{9} + 1438527201 T^{10} - 2267148942 T^{11} - 52720511114 T^{12} + 256799818314 T^{13} + 1110765026099 T^{14} - 11750531857433 T^{15} + 10581961744026 T^{16} + 299000472217700 T^{17} - 923367821930479 T^{18} - 1507777835810529 T^{19} + 21611482313284249 T^{20} \))(\( 1 - 3 T - 79 T^{2} + 1100 T^{3} + 1674 T^{4} - 79931 T^{5} + 324899 T^{6} + 3229902 T^{7} - 28512986 T^{8} - 52724394 T^{9} + 1438527201 T^{10} - 2267148942 T^{11} - 52720511114 T^{12} + 256799818314 T^{13} + 1110765026099 T^{14} - 11750531857433 T^{15} + 10581961744026 T^{16} + 299000472217700 T^{17} - 923367821930479 T^{18} - 1507777835810529 T^{19} + 21611482313284249 T^{20} \))(\( ( 1 + T + 43 T^{2} )^{4} \))(\( ( 1 + 58 T^{2} + 1849 T^{4} )^{4} \))(\( ( 1 + 8 T + 30 T^{2} + 344 T^{3} + 1849 T^{4} )^{8} \))(\( 1 + T - 42 T^{2} + 43 T^{3} + 1849 T^{4} \))(\( 1 - 3 T - 79 T^{2} + 1100 T^{3} + 1674 T^{4} - 79931 T^{5} + 324899 T^{6} + 3229902 T^{7} - 28512986 T^{8} - 52724394 T^{9} + 1438527201 T^{10} - 2267148942 T^{11} - 52720511114 T^{12} + 256799818314 T^{13} + 1110765026099 T^{14} - 11750531857433 T^{15} + 10581961744026 T^{16} + 299000472217700 T^{17} - 923367821930479 T^{18} - 1507777835810529 T^{19} + 21611482313284249 T^{20} \))(\( ( 1 + 5 T - 58 T^{2} - 51 T^{3} + 2155 T^{4} - 7106 T^{5} - 129149 T^{6} - 305558 T^{7} + 3984595 T^{8} - 4054857 T^{9} - 198290458 T^{10} + 735042215 T^{11} + 6321363049 T^{12} )^{2} \))(\( 1 - 12 T + 31 T^{2} - 136 T^{3} + 2539 T^{4} - 5930 T^{5} - 45857 T^{6} - 254990 T^{7} + 4694611 T^{8} - 10812952 T^{9} + 105982831 T^{10} - 1764101316 T^{11} + 6321363049 T^{12} \))(\( 1 - 17 T - 4 T^{2} + 1665 T^{3} - 8414 T^{4} - 31717 T^{5} + 362285 T^{6} - 1104421 T^{7} + 2730975 T^{8} - 12051566 T^{9} + 39133202 T^{10} + 1793387022 T^{11} - 23518305111 T^{12} + 77115641946 T^{13} + 72357290498 T^{14} - 958183857962 T^{15} + 9336660060975 T^{16} - 162359211626503 T^{17} + 2290135012206965 T^{18} - 8621270888480719 T^{19} - 98344517135734814 T^{20} + 836816698874843595 T^{21} - 86445929253136996 T^{22} - 15797993571010786019 T^{23} + 39959630797262576401 T^{24} \))(\( ( 1 + 5 T - 18 T^{2} - 305 T^{3} - 751 T^{4} + 9360 T^{5} + 79093 T^{6} + 402480 T^{7} - 1388599 T^{8} - 24249635 T^{9} - 61538418 T^{10} + 735042215 T^{11} + 6321363049 T^{12} )^{2} \))
$47$ (\( 1 + 6 T + 47 T^{2} \))(\( 1 - 6 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 46 T^{2} + 2209 T^{4} \))(\( ( 1 + 47 T^{2} )^{2} \))(\( 1 + 86 T^{2} + 2209 T^{4} \))(\( 1 + 86 T^{2} + 2209 T^{4} \))(\( ( 1 - 56 T^{2} + 2209 T^{4} )^{2} \))(\( ( 1 + 108 T^{2} + 7302 T^{4} + 238572 T^{6} + 4879681 T^{8} )^{2} \))(\( 1 - 47 T^{2} + 2209 T^{4} \))(\( 1 - 47 T^{2} + 2209 T^{4} \))(\( 1 - 47 T^{2} + 2209 T^{4} \))(\( 1 - 47 T^{2} + 2209 T^{4} \))(\( 1 - 6 T - 11 T^{2} - 282 T^{3} + 2209 T^{4} \))(\( 1 - 86 T^{2} + 5187 T^{4} - 189974 T^{6} + 4879681 T^{8} \))(\( 1 - 86 T^{2} + 5187 T^{4} - 189974 T^{6} + 4879681 T^{8} \))(\( ( 1 - 47 T^{2} + 2209 T^{4} )^{2} \))(\( 1 - 46 T^{2} - 93 T^{4} - 101614 T^{6} + 4879681 T^{8} \))(\( 1 - 46 T^{2} - 93 T^{4} - 101614 T^{6} + 4879681 T^{8} \))(\( 1 - 47 T^{2} + 2209 T^{4} \))(\( 1 - 47 T^{2} + 2209 T^{4} \))(\( 1 - 3 T - 78 T^{2} + 405 T^{3} + 2481 T^{4} - 11064 T^{5} - 57089 T^{6} - 520008 T^{7} + 5480529 T^{8} + 42048315 T^{9} - 380615118 T^{10} - 688035021 T^{11} + 10779215329 T^{12} \))(\( 1 + 9 T - 6 T^{2} - 531 T^{3} - 2433 T^{4} + 3438 T^{5} + 104623 T^{6} + 161586 T^{7} - 5374497 T^{8} - 55130013 T^{9} - 29278086 T^{10} + 2064105063 T^{11} + 10779215329 T^{12} \))(\( 1 - 27 T + 281 T^{2} - 1758 T^{3} + 13050 T^{4} - 78783 T^{5} - 25248 T^{6} + 1518381 T^{7} + 9454350 T^{8} - 53043051 T^{9} - 242331903 T^{10} - 2493023397 T^{11} + 20884659150 T^{12} + 157642870563 T^{13} - 123202185888 T^{14} - 18068487686481 T^{15} + 140668760043450 T^{16} - 890643445773954 T^{17} + 6690971551954841 T^{18} - 30216522773774709 T^{19} + 52599132235830049 T^{20} \))(\( 1 + 27 T + 281 T^{2} + 1758 T^{3} + 13050 T^{4} + 78783 T^{5} - 25248 T^{6} - 1518381 T^{7} + 9454350 T^{8} + 53043051 T^{9} - 242331903 T^{10} + 2493023397 T^{11} + 20884659150 T^{12} - 157642870563 T^{13} - 123202185888 T^{14} + 18068487686481 T^{15} + 140668760043450 T^{16} + 890643445773954 T^{17} + 6690971551954841 T^{18} + 30216522773774709 T^{19} + 52599132235830049 T^{20} \))(\( 1 - 99 T^{2} + 486 T^{4} - 19399 T^{6} + 21504483 T^{8} - 613600884 T^{10} - 14184900399 T^{12} - 1355444352756 T^{14} + 104935017109923 T^{16} - 209105998167271 T^{18} + 11572285317615846 T^{20} - 5207314091347174851 T^{22} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 - 47 T^{2} + 2209 T^{4} \))(\( 1 - 3 T - 78 T^{2} + 405 T^{3} + 2481 T^{4} - 11064 T^{5} - 57089 T^{6} - 520008 T^{7} + 5480529 T^{8} + 42048315 T^{9} - 380615118 T^{10} - 688035021 T^{11} + 10779215329 T^{12} \))(\( 1 + 3 T - 78 T^{2} - 405 T^{3} + 2481 T^{4} + 11064 T^{5} - 57089 T^{6} + 520008 T^{7} + 5480529 T^{8} - 42048315 T^{9} - 380615118 T^{10} + 688035021 T^{11} + 10779215329 T^{12} \))(\( 1 + 9 T - 6 T^{2} - 531 T^{3} - 2433 T^{4} + 3438 T^{5} + 104623 T^{6} + 161586 T^{7} - 5374497 T^{8} - 55130013 T^{9} - 29278086 T^{10} + 2064105063 T^{11} + 10779215329 T^{12} \))(\( 1 - 9 T - 6 T^{2} + 531 T^{3} - 2433 T^{4} - 3438 T^{5} + 104623 T^{6} - 161586 T^{7} - 5374497 T^{8} + 55130013 T^{9} - 29278086 T^{10} - 2064105063 T^{11} + 10779215329 T^{12} \))(\( 1 + 27 T + 281 T^{2} + 1758 T^{3} + 13050 T^{4} + 78783 T^{5} - 25248 T^{6} - 1518381 T^{7} + 9454350 T^{8} + 53043051 T^{9} - 242331903 T^{10} + 2493023397 T^{11} + 20884659150 T^{12} - 157642870563 T^{13} - 123202185888 T^{14} + 18068487686481 T^{15} + 140668760043450 T^{16} + 890643445773954 T^{17} + 6690971551954841 T^{18} + 30216522773774709 T^{19} + 52599132235830049 T^{20} \))(\( 1 - 99 T^{2} + 486 T^{4} - 19399 T^{6} + 21504483 T^{8} - 613600884 T^{10} - 14184900399 T^{12} - 1355444352756 T^{14} + 104935017109923 T^{16} - 209105998167271 T^{18} + 11572285317615846 T^{20} - 5207314091347174851 T^{22} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( ( 1 + 47 T^{2} )^{2} \))(\( ( 1 - 9 T + 87 T^{2} - 657 T^{3} + 4089 T^{4} - 19881 T^{5} + 103823 T^{6} )^{2} \))(\( ( 1 + 9 T + 87 T^{2} + 657 T^{3} + 4089 T^{4} + 19881 T^{5} + 103823 T^{6} )^{2} \))(\( ( 1 - 3 T + 87 T^{2} - 333 T^{3} + 4089 T^{4} - 6627 T^{5} + 103823 T^{6} )^{2} \))(\( ( 1 + 3 T + 87 T^{2} + 333 T^{3} + 4089 T^{4} + 6627 T^{5} + 103823 T^{6} )^{2} \))(\( ( 1 - 27 T + 448 T^{2} - 5169 T^{3} + 48091 T^{4} - 359985 T^{5} + 2260277 T^{6} - 11418321 T^{7} + 46512704 T^{8} - 131751387 T^{9} + 229345007 T^{10} )^{2} \))(\( ( 1 + 99 T^{2} + 9315 T^{4} + 451393 T^{6} + 20576835 T^{8} + 483088419 T^{10} + 10779215329 T^{12} )^{2} \))(\( ( 1 + 47 T^{2} )^{2} \))(\( ( 1 + 15 T + 274 T^{2} + 2589 T^{3} + 26755 T^{4} + 176529 T^{5} + 1257485 T^{6} + 5719101 T^{7} + 28447502 T^{8} + 73195215 T^{9} + 229345007 T^{10} )^{2} \))(\( ( 1 + 189 T^{2} + 16995 T^{4} + 970093 T^{6} + 37541955 T^{8} + 922259709 T^{10} + 10779215329 T^{12} )^{2} \))(\( 1 - 47 T^{2} + 2209 T^{4} \))(\( 1 - 47 T^{2} + 2209 T^{4} \))(\( 1 - 15 T - 49 T^{2} + 1068 T^{3} + 9486 T^{4} - 83265 T^{5} - 760914 T^{6} + 2887821 T^{7} + 57371082 T^{8} - 59131839 T^{9} - 3026317959 T^{10} - 2779196433 T^{11} + 126732720138 T^{12} + 299822239683 T^{13} - 3713017588434 T^{14} - 19096412007855 T^{15} + 102251636610894 T^{16} + 541073492654484 T^{17} - 1166753046426289 T^{18} - 16786957096541505 T^{19} + 52599132235830049 T^{20} \))(\( 1 + 15 T - 49 T^{2} - 1068 T^{3} + 9486 T^{4} + 83265 T^{5} - 760914 T^{6} - 2887821 T^{7} + 57371082 T^{8} + 59131839 T^{9} - 3026317959 T^{10} + 2779196433 T^{11} + 126732720138 T^{12} - 299822239683 T^{13} - 3713017588434 T^{14} + 19096412007855 T^{15} + 102251636610894 T^{16} - 541073492654484 T^{17} - 1166753046426289 T^{18} + 16786957096541505 T^{19} + 52599132235830049 T^{20} \))(\( 1 + 56 T^{2} + 927 T^{4} + 123704 T^{6} + 4879681 T^{8} \))(\( ( 1 - 47 T^{2} + 2209 T^{4} )^{4} \))(\( ( 1 - 108 T^{2} + 4362 T^{4} - 311472 T^{6} + 22673747 T^{8} - 688041648 T^{10} + 21285168522 T^{12} - 1164155255532 T^{14} + 23811286661761 T^{16} )^{2} \))(\( 1 - 47 T^{2} + 2209 T^{4} \))(\( 1 + 15 T - 49 T^{2} - 1068 T^{3} + 9486 T^{4} + 83265 T^{5} - 760914 T^{6} - 2887821 T^{7} + 57371082 T^{8} + 59131839 T^{9} - 3026317959 T^{10} + 2779196433 T^{11} + 126732720138 T^{12} - 299822239683 T^{13} - 3713017588434 T^{14} + 19096412007855 T^{15} + 102251636610894 T^{16} - 541073492654484 T^{17} - 1166753046426289 T^{18} + 16786957096541505 T^{19} + 52599132235830049 T^{20} \))(\( 1 - 189 T^{2} + 18726 T^{4} - 1271869 T^{6} + 67940493 T^{8} - 3218131254 T^{10} + 150306249081 T^{12} - 7108851940086 T^{14} + 331527932822733 T^{16} - 13709749821279901 T^{18} + 445890154028136486 T^{20} - 9941235992571879261 T^{22} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 - 15 T + 115 T^{2} - 985 T^{3} + 10854 T^{4} - 81956 T^{5} + 533835 T^{6} - 3851932 T^{7} + 23976486 T^{8} - 102265655 T^{9} + 561163315 T^{10} - 3440175105 T^{11} + 10779215329 T^{12} \))(\( 1 - 21 T + 256 T^{2} - 2793 T^{3} + 30210 T^{4} - 321587 T^{5} + 2992819 T^{6} - 24855299 T^{7} + 206144235 T^{8} - 1692381838 T^{9} + 13105466958 T^{10} - 93235046254 T^{11} + 634794782293 T^{12} - 4382047173938 T^{13} + 28949976510222 T^{14} - 175708159566674 T^{15} + 1005918106789035 T^{16} - 5700438723142093 T^{17} + 32260240441722451 T^{18} - 162923409440334781 T^{19} + 719338970051799810 T^{20} - 3125731411376028231 T^{21} + 13465377852372492544 T^{22} - 51915343516764258363 T^{23} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 + 47 T^{2} - 103823 T^{6} - 4879681 T^{8} + 10779215329 T^{12} - 23811286661761 T^{16} - 1119130473102767 T^{18} + 2472159215084012303 T^{22} + \)\(11\!\cdots\!41\)\( T^{24} \))
$53$ (\( 1 + 12 T + 53 T^{2} \))(\( 1 + 12 T + 53 T^{2} \))(\( 1 - 10 T + 53 T^{2} \))(\( 1 + 53 T^{2} \))(\( 1 + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 + 58 T^{2} + 2809 T^{4} \))(\( 1 - 6 T^{2} + 2809 T^{4} \))(\( ( 1 - 2 T + 53 T^{2} )^{2} \))(\( ( 1 - 2 T + 53 T^{2} )^{2} \))(\( ( 1 - 98 T^{2} + 2809 T^{4} )^{2} \))(\( ( 1 - 56 T^{2} + 2809 T^{4} )^{4} \))(\( 1 - 6 T - 17 T^{2} - 318 T^{3} + 2809 T^{4} \))(\( 1 - 6 T - 17 T^{2} - 318 T^{3} + 2809 T^{4} \))(\( 1 - 53 T^{2} + 2809 T^{4} \))(\( 1 + 10 T + 47 T^{2} + 530 T^{3} + 2809 T^{4} \))(\( 1 - 12 T + 91 T^{2} - 636 T^{3} + 2809 T^{4} \))(\( ( 1 + 2 T - 49 T^{2} + 106 T^{3} + 2809 T^{4} )^{2} \))(\( ( 1 + 2 T - 49 T^{2} + 106 T^{3} + 2809 T^{4} )^{2} \))(\( 1 + 6 T^{2} - 2773 T^{4} + 16854 T^{6} + 7890481 T^{8} \))(\( 1 - 58 T^{2} + 555 T^{4} - 162922 T^{6} + 7890481 T^{8} \))(\( 1 - 58 T^{2} + 555 T^{4} - 162922 T^{6} + 7890481 T^{8} \))(\( ( 1 + 9 T + 53 T^{2} )^{2} \))(\( ( 1 + 9 T + 53 T^{2} )^{2} \))(\( ( 1 - 6 T + 150 T^{2} - 639 T^{3} + 7950 T^{4} - 16854 T^{5} + 148877 T^{6} )^{2} \))(\( ( 1 + 18 T + 234 T^{2} + 1917 T^{3} + 12402 T^{4} + 50562 T^{5} + 148877 T^{6} )^{2} \))(\( ( 1 - 21 T + 400 T^{2} - 4662 T^{3} + 49132 T^{4} - 375771 T^{5} + 2603996 T^{6} - 13095558 T^{7} + 59550800 T^{8} - 165700101 T^{9} + 418195493 T^{10} )^{2} \))(\( ( 1 - 21 T + 400 T^{2} - 4662 T^{3} + 49132 T^{4} - 375771 T^{5} + 2603996 T^{6} - 13095558 T^{7} + 59550800 T^{8} - 165700101 T^{9} + 418195493 T^{10} )^{2} \))(\( ( 1 - 14 T + 170 T^{2} - 1221 T^{3} + 9010 T^{4} - 39326 T^{5} + 148877 T^{6} )^{4} \))(\( 1 - 9 T + 28 T^{2} - 477 T^{3} + 2809 T^{4} \))(\( 1 + 6 T - 114 T^{2} - 378 T^{3} + 10716 T^{4} + 17304 T^{5} - 587549 T^{6} + 917112 T^{7} + 30101244 T^{8} - 56275506 T^{9} - 899514834 T^{10} + 2509172958 T^{11} + 22164361129 T^{12} \))(\( 1 + 6 T - 114 T^{2} - 378 T^{3} + 10716 T^{4} + 17304 T^{5} - 587549 T^{6} + 917112 T^{7} + 30101244 T^{8} - 56275506 T^{9} - 899514834 T^{10} + 2509172958 T^{11} + 22164361129 T^{12} \))(\( 1 - 18 T + 90 T^{2} - 378 T^{3} + 7848 T^{4} - 52668 T^{5} + 160459 T^{6} - 2791404 T^{7} + 22045032 T^{8} - 56275506 T^{9} + 710143290 T^{10} - 7527518874 T^{11} + 22164361129 T^{12} \))(\( 1 - 18 T + 90 T^{2} - 378 T^{3} + 7848 T^{4} - 52668 T^{5} + 160459 T^{6} - 2791404 T^{7} + 22045032 T^{8} - 56275506 T^{9} + 710143290 T^{10} - 7527518874 T^{11} + 22164361129 T^{12} \))(\( 1 + 21 T + 41 T^{2} - 924 T^{3} + 12966 T^{4} + 177027 T^{5} - 601755 T^{6} - 3783942 T^{7} + 110973258 T^{8} + 340111866 T^{9} - 4044436041 T^{10} + 18025928898 T^{11} + 311723881722 T^{12} - 563341933134 T^{13} - 4748136394155 T^{14} + 74031893539311 T^{15} + 287383106398614 T^{16} - 1085433093209388 T^{17} + 2552647306865801 T^{18} + 69295035427844793 T^{19} + 174887470365513049 T^{20} \))(\( ( 1 + 14 T + 26 T^{2} - 62 T^{3} + 2796 T^{4} - 5384 T^{5} - 293669 T^{6} - 285352 T^{7} + 7853964 T^{8} - 9230374 T^{9} + 205152506 T^{10} + 5854736902 T^{11} + 22164361129 T^{12} )^{2} \))(\( 1 - 9 T + 28 T^{2} - 477 T^{3} + 2809 T^{4} \))(\( 1 - 18 T + 90 T^{2} - 378 T^{3} + 7848 T^{4} - 52668 T^{5} + 160459 T^{6} - 2791404 T^{7} + 22045032 T^{8} - 56275506 T^{9} + 710143290 T^{10} - 7527518874 T^{11} + 22164361129 T^{12} \))(\( 1 - 18 T + 90 T^{2} - 378 T^{3} + 7848 T^{4} - 52668 T^{5} + 160459 T^{6} - 2791404 T^{7} + 22045032 T^{8} - 56275506 T^{9} + 710143290 T^{10} - 7527518874 T^{11} + 22164361129 T^{12} \))(\( 1 + 6 T - 114 T^{2} - 378 T^{3} + 10716 T^{4} + 17304 T^{5} - 587549 T^{6} + 917112 T^{7} + 30101244 T^{8} - 56275506 T^{9} - 899514834 T^{10} + 2509172958 T^{11} + 22164361129 T^{12} \))(\( 1 + 6 T - 114 T^{2} - 378 T^{3} + 10716 T^{4} + 17304 T^{5} - 587549 T^{6} + 917112 T^{7} + 30101244 T^{8} - 56275506 T^{9} - 899514834 T^{10} + 2509172958 T^{11} + 22164361129 T^{12} \))(\( 1 + 21 T + 41 T^{2} - 924 T^{3} + 12966 T^{4} + 177027 T^{5} - 601755 T^{6} - 3783942 T^{7} + 110973258 T^{8} + 340111866 T^{9} - 4044436041 T^{10} + 18025928898 T^{11} + 311723881722 T^{12} - 563341933134 T^{13} - 4748136394155 T^{14} + 74031893539311 T^{15} + 287383106398614 T^{16} - 1085433093209388 T^{17} + 2552647306865801 T^{18} + 69295035427844793 T^{19} + 174887470365513049 T^{20} \))(\( ( 1 + 14 T + 26 T^{2} - 62 T^{3} + 2796 T^{4} - 5384 T^{5} - 293669 T^{6} - 285352 T^{7} + 7853964 T^{8} - 9230374 T^{9} + 205152506 T^{10} + 5854736902 T^{11} + 22164361129 T^{12} )^{2} \))(\( 1 - 15 T + 128 T^{2} - 795 T^{3} + 2809 T^{4} \))(\( 1 - 9 T + 237 T^{2} - 1890 T^{3} + 28720 T^{4} - 208689 T^{5} + 2523571 T^{6} - 16852668 T^{7} + 178203742 T^{8} - 1088604978 T^{9} + 10361882797 T^{10} - 57696063834 T^{11} + 500574311278 T^{12} - 2508974653836 T^{13} + 19912189027651 T^{14} - 87272799238677 T^{15} + 636560451624880 T^{16} - 2220204054291930 T^{17} + 14755546627492557 T^{18} - 29697872326219197 T^{19} + 174887470365513049 T^{20} \))(\( ( 1 + 6 T + 118 T^{2} + 636 T^{3} + 6392 T^{4} + 24168 T^{5} + 313969 T^{6} + 1280904 T^{7} + 17955128 T^{8} + 94685772 T^{9} + 931076758 T^{10} + 2509172958 T^{11} + 22164361129 T^{12} )^{2} \))(\( 1 - 31 T^{2} + 2809 T^{4} \))(\( 1 - 31 T^{2} + 2809 T^{4} \))(\( 1 - 393 T^{2} + 74860 T^{4} - 9044030 T^{6} + 764489716 T^{8} - 47150015153 T^{10} + 2147451612244 T^{12} - 71361746878430 T^{14} + 1659224074116940 T^{16} - 24468058331664873 T^{18} + 174887470365513049 T^{20} \))(\( 1 - 393 T^{2} + 74860 T^{4} - 9044030 T^{6} + 764489716 T^{8} - 47150015153 T^{10} + 2147451612244 T^{12} - 71361746878430 T^{14} + 1659224074116940 T^{16} - 24468058331664873 T^{18} + 174887470365513049 T^{20} \))(\( 1 + 98 T^{2} + 6795 T^{4} + 275282 T^{6} + 7890481 T^{8} \))(\( 1 + 5582 T^{4} + 23268243 T^{8} + 44044664942 T^{12} + 62259690411361 T^{16} \))(\( ( 1 + 56 T^{2} + 327 T^{4} + 157304 T^{6} + 7890481 T^{8} )^{4} \))(\( 1 + 15 T + 128 T^{2} + 795 T^{3} + 2809 T^{4} \))(\( 1 + 9 T + 237 T^{2} + 1890 T^{3} + 28720 T^{4} + 208689 T^{5} + 2523571 T^{6} + 16852668 T^{7} + 178203742 T^{8} + 1088604978 T^{9} + 10361882797 T^{10} + 57696063834 T^{11} + 500574311278 T^{12} + 2508974653836 T^{13} + 19912189027651 T^{14} + 87272799238677 T^{15} + 636560451624880 T^{16} + 2220204054291930 T^{17} + 14755546627492557 T^{18} + 29697872326219197 T^{19} + 174887470365513049 T^{20} \))(\( ( 1 - 6 T + 118 T^{2} - 636 T^{3} + 6392 T^{4} - 24168 T^{5} + 313969 T^{6} - 1280904 T^{7} + 17955128 T^{8} - 94685772 T^{9} + 931076758 T^{10} - 2509172958 T^{11} + 22164361129 T^{12} )^{2} \))(\( 1 - 26 T + 343 T^{2} - 2892 T^{3} + 17925 T^{4} - 100058 T^{5} + 632955 T^{6} - 5303074 T^{7} + 50351325 T^{8} - 430552284 T^{9} + 2706434983 T^{10} - 10873082818 T^{11} + 22164361129 T^{12} \))(\( 1 + 6 T - 142 T^{2} - 1098 T^{3} + 9891 T^{4} + 144396 T^{5} - 120260 T^{6} - 11267082 T^{7} - 36894535 T^{8} + 561327846 T^{9} + 4842655950 T^{10} - 11314891224 T^{11} - 319975006505 T^{12} - 599689234872 T^{13} + 13603020563550 T^{14} + 83568805728942 T^{15} - 291115627421335 T^{16} - 4711842911661426 T^{17} - 2665486069373540 T^{18} + 169623589747903452 T^{19} + 615810597858771651 T^{20} - 3623140423798742034 T^{21} - 24834020791902852958 T^{22} + 55614215576233149582 T^{23} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 + 53 T^{2} - 148877 T^{6} - 7890481 T^{8} + 22164361129 T^{12} - 62259690411361 T^{16} - 3299763591802133 T^{18} + 9269035929372191597 T^{22} + \)\(49\!\cdots\!41\)\( T^{24} \))
$59$ (\( 1 + 12 T + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( 1 + 70 T^{2} + 3481 T^{4} \))(\( ( 1 + 59 T^{2} )^{2} \))(\( 1 - 8 T + 126 T^{2} - 472 T^{3} + 3481 T^{4} \))(\( 1 + 8 T + 126 T^{2} + 472 T^{3} + 3481 T^{4} \))(\( ( 1 + 94 T^{2} + 3481 T^{4} )^{2} \))(\( ( 1 + 156 T^{2} + 13014 T^{4} + 543036 T^{6} + 12117361 T^{8} )^{2} \))(\( 1 - 12 T + 85 T^{2} - 708 T^{3} + 3481 T^{4} \))(\( 1 + 12 T + 85 T^{2} + 708 T^{3} + 3481 T^{4} \))(\( 1 - 59 T^{2} + 3481 T^{4} \))(\( 1 - 59 T^{2} + 3481 T^{4} \))(\( 1 - 12 T + 85 T^{2} - 708 T^{3} + 3481 T^{4} \))(\( 1 - 8 T - 62 T^{2} - 64 T^{3} + 8619 T^{4} - 3776 T^{5} - 215822 T^{6} - 1643032 T^{7} + 12117361 T^{8} \))(\( 1 + 8 T - 62 T^{2} + 64 T^{3} + 8619 T^{4} + 3776 T^{5} - 215822 T^{6} + 1643032 T^{7} + 12117361 T^{8} \))(\( ( 1 - 59 T^{2} + 3481 T^{4} )^{2} \))(\( 1 - 70 T^{2} + 1419 T^{4} - 243670 T^{6} + 12117361 T^{8} \))(\( 1 - 70 T^{2} + 1419 T^{4} - 243670 T^{6} + 12117361 T^{8} \))(\( 1 - 59 T^{2} + 3481 T^{4} \))(\( 1 - 59 T^{2} + 3481 T^{4} \))(\( 1 + 3 T - 96 T^{2} - 495 T^{3} + 3615 T^{4} + 15798 T^{5} - 107021 T^{6} + 932082 T^{7} + 12583815 T^{8} - 101662605 T^{9} - 1163266656 T^{10} + 2144772897 T^{11} + 42180533641 T^{12} \))(\( 1 + 9 T - 90 T^{2} - 459 T^{3} + 10161 T^{4} + 20556 T^{5} - 598421 T^{6} + 1212804 T^{7} + 35370441 T^{8} - 94268961 T^{9} - 1090562490 T^{10} + 6434318691 T^{11} + 42180533641 T^{12} \))(\( 1 - 30 T + 299 T^{2} - 1644 T^{3} + 26547 T^{4} - 344442 T^{5} + 1635267 T^{6} - 9620487 T^{7} + 170035344 T^{8} - 1056366303 T^{9} + 3109579647 T^{10} - 62325611877 T^{11} + 591893032464 T^{12} - 1975845999573 T^{13} + 19815120570387 T^{14} - 246249955396158 T^{15} + 1119766626567627 T^{16} - 4091343041042436 T^{17} + 43902300843691979 T^{18} - 259889874559648170 T^{19} + 511116753300641401 T^{20} \))(\( 1 + 30 T + 299 T^{2} + 1644 T^{3} + 26547 T^{4} + 344442 T^{5} + 1635267 T^{6} + 9620487 T^{7} + 170035344 T^{8} + 1056366303 T^{9} + 3109579647 T^{10} + 62325611877 T^{11} + 591893032464 T^{12} + 1975845999573 T^{13} + 19815120570387 T^{14} + 246249955396158 T^{15} + 1119766626567627 T^{16} + 4091343041042436 T^{17} + 43902300843691979 T^{18} + 259889874559648170 T^{19} + 511116753300641401 T^{20} \))(\( 1 - 171 T^{2} + 10764 T^{4} - 658021 T^{6} + 63198909 T^{8} - 3185695998 T^{10} + 106058651361 T^{12} - 11089407769038 T^{14} + 765803995159149 T^{16} - 27755676926984461 T^{18} + 1580482830372911244 T^{20} - 87400964814409679571 T^{22} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 - 59 T^{2} + 3481 T^{4} \))(\( 1 + 3 T - 96 T^{2} - 495 T^{3} + 3615 T^{4} + 15798 T^{5} - 107021 T^{6} + 932082 T^{7} + 12583815 T^{8} - 101662605 T^{9} - 1163266656 T^{10} + 2144772897 T^{11} + 42180533641 T^{12} \))(\( 1 - 3 T - 96 T^{2} + 495 T^{3} + 3615 T^{4} - 15798 T^{5} - 107021 T^{6} - 932082 T^{7} + 12583815 T^{8} + 101662605 T^{9} - 1163266656 T^{10} - 2144772897 T^{11} + 42180533641 T^{12} \))(\( 1 + 9 T - 90 T^{2} - 459 T^{3} + 10161 T^{4} + 20556 T^{5} - 598421 T^{6} + 1212804 T^{7} + 35370441 T^{8} - 94268961 T^{9} - 1090562490 T^{10} + 6434318691 T^{11} + 42180533641 T^{12} \))(\( 1 - 9 T - 90 T^{2} + 459 T^{3} + 10161 T^{4} - 20556 T^{5} - 598421 T^{6} - 1212804 T^{7} + 35370441 T^{8} + 94268961 T^{9} - 1090562490 T^{10} - 6434318691 T^{11} + 42180533641 T^{12} \))(\( 1 + 30 T + 299 T^{2} + 1644 T^{3} + 26547 T^{4} + 344442 T^{5} + 1635267 T^{6} + 9620487 T^{7} + 170035344 T^{8} + 1056366303 T^{9} + 3109579647 T^{10} + 62325611877 T^{11} + 591893032464 T^{12} + 1975845999573 T^{13} + 19815120570387 T^{14} + 246249955396158 T^{15} + 1119766626567627 T^{16} + 4091343041042436 T^{17} + 43902300843691979 T^{18} + 259889874559648170 T^{19} + 511116753300641401 T^{20} \))(\( 1 - 171 T^{2} + 10764 T^{4} - 658021 T^{6} + 63198909 T^{8} - 3185695998 T^{10} + 106058651361 T^{12} - 11089407769038 T^{14} + 765803995159149 T^{16} - 27755676926984461 T^{18} + 1580482830372911244 T^{20} - 87400964814409679571 T^{22} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( ( 1 + 59 T^{2} )^{2} \))(\( ( 1 - 9 T + 171 T^{2} - 999 T^{3} + 10089 T^{4} - 31329 T^{5} + 205379 T^{6} )^{2} \))(\( ( 1 + 9 T + 171 T^{2} + 999 T^{3} + 10089 T^{4} + 31329 T^{5} + 205379 T^{6} )^{2} \))(\( ( 1 + 3 T + 105 T^{2} + 405 T^{3} + 6195 T^{4} + 10443 T^{5} + 205379 T^{6} )^{2} \))(\( ( 1 - 3 T + 105 T^{2} - 405 T^{3} + 6195 T^{4} - 10443 T^{5} + 205379 T^{6} )^{2} \))(\( ( 1 - 30 T + 601 T^{2} - 8193 T^{3} + 88864 T^{4} - 752289 T^{5} + 5242976 T^{6} - 28519833 T^{7} + 123432779 T^{8} - 363520830 T^{9} + 714924299 T^{10} )^{2} \))(\( ( 1 + 171 T^{2} + 18477 T^{4} + 1250773 T^{6} + 64318437 T^{8} + 2072068731 T^{10} + 42180533641 T^{12} )^{2} \))(\( ( 1 + 59 T^{2} )^{2} \))(\( ( 1 - 18 T + 379 T^{2} - 4179 T^{3} + 48448 T^{4} - 365781 T^{5} + 2858432 T^{6} - 14547099 T^{7} + 77838641 T^{8} - 218112498 T^{9} + 714924299 T^{10} )^{2} \))(\( ( 1 + 135 T^{2} + 13647 T^{4} + 945073 T^{6} + 47505207 T^{8} + 1635843735 T^{10} + 42180533641 T^{12} )^{2} \))(\( 1 - 59 T^{2} + 3481 T^{4} \))(\( 1 - 59 T^{2} + 3481 T^{4} \))(\( 1 + 18 T - 55 T^{2} - 1536 T^{3} + 19971 T^{4} + 205494 T^{5} - 1764945 T^{6} - 8798931 T^{7} + 181121100 T^{8} + 308804295 T^{9} - 11121159681 T^{10} + 18219453405 T^{11} + 630482549100 T^{12} - 1807115649849 T^{13} - 21386475710145 T^{14} + 146912653898706 T^{15} + 842387437344411 T^{16} - 3822568680681984 T^{17} - 8075674068237655 T^{18} + 155933924735788902 T^{19} + 511116753300641401 T^{20} \))(\( 1 - 18 T - 55 T^{2} + 1536 T^{3} + 19971 T^{4} - 205494 T^{5} - 1764945 T^{6} + 8798931 T^{7} + 181121100 T^{8} - 308804295 T^{9} - 11121159681 T^{10} - 18219453405 T^{11} + 630482549100 T^{12} + 1807115649849 T^{13} - 21386475710145 T^{14} - 146912653898706 T^{15} + 842387437344411 T^{16} + 3822568680681984 T^{17} - 8075674068237655 T^{18} - 155933924735788902 T^{19} + 511116753300641401 T^{20} \))(\( 1 - 94 T^{2} + 5355 T^{4} - 327214 T^{6} + 12117361 T^{8} \))(\( ( 1 - 59 T^{2} + 3481 T^{4} )^{4} \))(\( ( 1 - 156 T^{2} + 11322 T^{4} - 944112 T^{6} + 72533219 T^{8} - 3286453872 T^{10} + 137192761242 T^{12} - 6580163247996 T^{14} + 146830437604321 T^{16} )^{2} \))(\( 1 - 59 T^{2} + 3481 T^{4} \))(\( 1 - 18 T - 55 T^{2} + 1536 T^{3} + 19971 T^{4} - 205494 T^{5} - 1764945 T^{6} + 8798931 T^{7} + 181121100 T^{8} - 308804295 T^{9} - 11121159681 T^{10} - 18219453405 T^{11} + 630482549100 T^{12} + 1807115649849 T^{13} - 21386475710145 T^{14} - 146912653898706 T^{15} + 842387437344411 T^{16} + 3822568680681984 T^{17} - 8075674068237655 T^{18} - 155933924735788902 T^{19} + 511116753300641401 T^{20} \))(\( 1 - 135 T^{2} + 4578 T^{4} + 47801 T^{6} + 11150547 T^{8} - 1706849076 T^{10} + 108381578457 T^{12} - 5941541633556 T^{14} + 135115203346467 T^{16} + 2016271688573441 T^{18} + 672189743352581538 T^{20} - 69000761695586589135 T^{22} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 + 11 T + 6 T^{2} - 590 T^{3} - 2637 T^{4} + 28819 T^{5} + 423452 T^{6} + 1700321 T^{7} - 9179397 T^{8} - 121173610 T^{9} + 72704166 T^{10} + 7864167289 T^{11} + 42180533641 T^{12} \))(\( 1 + 14 T - 6 T^{2} - 49 T^{3} + 9743 T^{4} + 18893 T^{5} - 282222 T^{6} + 2654281 T^{7} - 4440451 T^{8} - 319262776 T^{9} + 353736969 T^{10} - 2345454825 T^{11} - 184991898189 T^{12} - 138381834675 T^{13} + 1231358389089 T^{14} - 65569869672104 T^{15} - 53806547769811 T^{16} + 1897609983274019 T^{17} - 11904274565230302 T^{18} + 47018092502685367 T^{19} + 1430568953578899503 T^{20} - 424486795114092011 T^{21} - 3066700519803848406 T^{22} + \)\(42\!\cdots\!26\)\( T^{23} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 + 59 T^{2} - 205379 T^{6} - 12117361 T^{8} + 42180533641 T^{12} - 146830437604321 T^{16} - 8662995818654939 T^{18} + 30155888444737842659 T^{22} + \)\(17\!\cdots\!81\)\( T^{24} \))
$61$ (\( 1 + 10 T + 61 T^{2} \))(\( 1 - 10 T + 61 T^{2} \))(\( 1 + 61 T^{2} \))(\( 1 - 14 T + 61 T^{2} \))(\( 1 + 14 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( ( 1 - 10 T + 61 T^{2} )^{2} \))(\( ( 1 + 61 T^{2} )^{2} \))(\( 1 - 16 T + 168 T^{2} - 976 T^{3} + 3721 T^{4} \))(\( 1 + 16 T + 168 T^{2} + 976 T^{3} + 3721 T^{4} \))(\( ( 1 - 110 T^{2} + 3721 T^{4} )^{2} \))(\( ( 1 - 176 T^{2} + 14128 T^{4} - 654896 T^{6} + 13845841 T^{8} )^{2} \))(\( 1 - 2 T - 57 T^{2} - 122 T^{3} + 3721 T^{4} \))(\( 1 + 2 T - 57 T^{2} + 122 T^{3} + 3721 T^{4} \))(\( ( 1 - 13 T + 61 T^{2} )( 1 - T + 61 T^{2} ) \))(\( 1 - 61 T^{2} + 3721 T^{4} \))(\( 1 - 10 T + 39 T^{2} - 610 T^{3} + 3721 T^{4} \))(\( 1 - 16 T + 88 T^{2} - 736 T^{3} + 8887 T^{4} - 44896 T^{5} + 327448 T^{6} - 3631696 T^{7} + 13845841 T^{8} \))(\( 1 + 16 T + 88 T^{2} + 736 T^{3} + 8887 T^{4} + 44896 T^{5} + 327448 T^{6} + 3631696 T^{7} + 13845841 T^{8} \))(\( ( 1 - 61 T^{2} + 3721 T^{4} )^{2} \))(\( ( 1 + 10 T + 39 T^{2} + 610 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 - 10 T + 39 T^{2} - 610 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 + T + 61 T^{2} )( 1 + 13 T + 61 T^{2} ) \))(\( ( 1 - 13 T + 61 T^{2} )( 1 - T + 61 T^{2} ) \))(\( 1 - 6 T - 132 T^{2} + 418 T^{3} + 13698 T^{4} - 19134 T^{5} - 893289 T^{6} - 1167174 T^{7} + 50970258 T^{8} + 94878058 T^{9} - 1827651012 T^{10} - 5067577806 T^{11} + 51520374361 T^{12} \))(\( 1 + 6 T - 126 T^{2} - 358 T^{3} + 12372 T^{4} + 11472 T^{5} - 838653 T^{6} + 699792 T^{7} + 46036212 T^{8} - 81259198 T^{9} - 1744575966 T^{10} + 5067577806 T^{11} + 51520374361 T^{12} \))(\( 1 + 14 T - 143 T^{2} - 2072 T^{3} + 23777 T^{4} + 251656 T^{5} - 2164351 T^{6} - 13562879 T^{7} + 202896254 T^{8} + 466067647 T^{9} - 12461386219 T^{10} + 28430126467 T^{11} + 754976961134 T^{12} - 3078515838299 T^{13} - 29967259814191 T^{14} + 212547726724456 T^{15} + 1224999941181497 T^{16} - 6511763156235512 T^{17} - 27414145758611183 T^{18} + 163718045299677974 T^{19} + 713342911662882601 T^{20} \))(\( 1 - 14 T - 143 T^{2} + 2072 T^{3} + 23777 T^{4} - 251656 T^{5} - 2164351 T^{6} + 13562879 T^{7} + 202896254 T^{8} - 466067647 T^{9} - 12461386219 T^{10} - 28430126467 T^{11} + 754976961134 T^{12} + 3078515838299 T^{13} - 29967259814191 T^{14} - 212547726724456 T^{15} + 1224999941181497 T^{16} + 6511763156235512 T^{17} - 27414145758611183 T^{18} - 163718045299677974 T^{19} + 713342911662882601 T^{20} \))(\( 1 - 102 T^{2} - 2514 T^{4} + 108094 T^{6} + 46094616 T^{8} - 815218740 T^{10} - 153775720821 T^{12} - 3033428931540 T^{14} + 638218724092056 T^{16} + 5569043346177934 T^{18} - 481952184875164434 T^{20} - 72760976989614025302 T^{22} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( ( 1 + T + 61 T^{2} )( 1 + 13 T + 61 T^{2} ) \))(\( 1 - 6 T - 132 T^{2} + 418 T^{3} + 13698 T^{4} - 19134 T^{5} - 893289 T^{6} - 1167174 T^{7} + 50970258 T^{8} + 94878058 T^{9} - 1827651012 T^{10} - 5067577806 T^{11} + 51520374361 T^{12} \))(\( 1 + 6 T - 132 T^{2} - 418 T^{3} + 13698 T^{4} + 19134 T^{5} - 893289 T^{6} + 1167174 T^{7} + 50970258 T^{8} - 94878058 T^{9} - 1827651012 T^{10} + 5067577806 T^{11} + 51520374361 T^{12} \))(\( 1 + 6 T - 126 T^{2} - 358 T^{3} + 12372 T^{4} + 11472 T^{5} - 838653 T^{6} + 699792 T^{7} + 46036212 T^{8} - 81259198 T^{9} - 1744575966 T^{10} + 5067577806 T^{11} + 51520374361 T^{12} \))(\( 1 - 6 T - 126 T^{2} + 358 T^{3} + 12372 T^{4} - 11472 T^{5} - 838653 T^{6} - 699792 T^{7} + 46036212 T^{8} + 81259198 T^{9} - 1744575966 T^{10} - 5067577806 T^{11} + 51520374361 T^{12} \))(\( 1 - 14 T - 143 T^{2} + 2072 T^{3} + 23777 T^{4} - 251656 T^{5} - 2164351 T^{6} + 13562879 T^{7} + 202896254 T^{8} - 466067647 T^{9} - 12461386219 T^{10} - 28430126467 T^{11} + 754976961134 T^{12} + 3078515838299 T^{13} - 29967259814191 T^{14} - 212547726724456 T^{15} + 1224999941181497 T^{16} + 6511763156235512 T^{17} - 27414145758611183 T^{18} - 163718045299677974 T^{19} + 713342911662882601 T^{20} \))(\( 1 - 102 T^{2} - 2514 T^{4} + 108094 T^{6} + 46094616 T^{8} - 815218740 T^{10} - 153775720821 T^{12} - 3033428931540 T^{14} + 638218724092056 T^{16} + 5569043346177934 T^{18} - 481952184875164434 T^{20} - 72760976989614025302 T^{22} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( ( 1 - 14 T + 61 T^{2} )^{2} \))(\( ( 1 - 6 T + 162 T^{2} - 665 T^{3} + 9882 T^{4} - 22326 T^{5} + 226981 T^{6} )^{2} \))(\( ( 1 + 6 T + 162 T^{2} + 665 T^{3} + 9882 T^{4} + 22326 T^{5} + 226981 T^{6} )^{2} \))(\( ( 1 - 6 T + 168 T^{2} - 713 T^{3} + 10248 T^{4} - 22326 T^{5} + 226981 T^{6} )^{2} \))(\( ( 1 + 6 T + 168 T^{2} + 713 T^{3} + 10248 T^{4} + 22326 T^{5} + 226981 T^{6} )^{2} \))(\( ( 1 + 14 T + 339 T^{2} + 3409 T^{3} + 43418 T^{4} + 311709 T^{5} + 2648498 T^{6} + 12684889 T^{7} + 76946559 T^{8} + 193841774 T^{9} + 844596301 T^{10} )^{2} \))(\( ( 1 + 102 T^{2} + 12918 T^{4} + 712865 T^{6} + 48067878 T^{8} + 1412275782 T^{10} + 51520374361 T^{12} )^{2} \))(\( 1 + 70 T^{2} + 3721 T^{4} \))(\( 1 - 358 T^{2} + 54069 T^{4} - 4372581 T^{6} + 210774216 T^{8} - 9493721499 T^{10} + 784290857736 T^{12} - 60542061285621 T^{14} + 2785655121324909 T^{16} - 68631218053026598 T^{18} + 713342911662882601 T^{20} \))(\( ( 1 - 342 T^{2} + 50124 T^{4} - 4023683 T^{6} + 186511404 T^{8} - 4735277622 T^{10} + 51520374361 T^{12} )^{2} \))(\( 1 - 24 T + 253 T^{2} - 1464 T^{3} + 3721 T^{4} \))(\( 1 + 24 T + 253 T^{2} + 1464 T^{3} + 3721 T^{4} \))(\( 1 + 12 T + 251 T^{2} + 2436 T^{3} + 34779 T^{4} + 347730 T^{5} + 3716049 T^{6} + 34819755 T^{7} + 301038894 T^{8} + 2709237273 T^{9} + 20488848807 T^{10} + 165263473653 T^{11} + 1120165724574 T^{12} + 7903422809655 T^{13} + 51451823602209 T^{14} + 293691471746730 T^{15} + 1791827099901219 T^{16} + 7655721548547156 T^{17} + 48118535562317531 T^{18} + 140329753114009692 T^{19} + 713342911662882601 T^{20} \))(\( 1 - 12 T + 251 T^{2} - 2436 T^{3} + 34779 T^{4} - 347730 T^{5} + 3716049 T^{6} - 34819755 T^{7} + 301038894 T^{8} - 2709237273 T^{9} + 20488848807 T^{10} - 165263473653 T^{11} + 1120165724574 T^{12} - 7903422809655 T^{13} + 51451823602209 T^{14} - 293691471746730 T^{15} + 1791827099901219 T^{16} - 7655721548547156 T^{17} + 48118535562317531 T^{18} - 140329753114009692 T^{19} + 713342911662882601 T^{20} \))(\( ( 1 - 6 T + 73 T^{2} - 366 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 + 61 T^{2} + 3721 T^{4} )^{4} \))(\( ( 1 + 176 T^{2} + 16848 T^{4} + 1176736 T^{6} + 70492847 T^{8} + 4378634656 T^{10} + 233274729168 T^{12} + 9067585887536 T^{14} + 191707312997281 T^{16} )^{2} \))(\( 1 + 24 T + 253 T^{2} + 1464 T^{3} + 3721 T^{4} \))(\( 1 + 12 T + 251 T^{2} + 2436 T^{3} + 34779 T^{4} + 347730 T^{5} + 3716049 T^{6} + 34819755 T^{7} + 301038894 T^{8} + 2709237273 T^{9} + 20488848807 T^{10} + 165263473653 T^{11} + 1120165724574 T^{12} + 7903422809655 T^{13} + 51451823602209 T^{14} + 293691471746730 T^{15} + 1791827099901219 T^{16} + 7655721548547156 T^{17} + 48118535562317531 T^{18} + 140329753114009692 T^{19} + 713342911662882601 T^{20} \))(\( 1 + 342 T^{2} + 66840 T^{4} + 9095042 T^{6} + 949804386 T^{8} + 78844563978 T^{10} + 5324903072391 T^{12} + 293380622562138 T^{14} + 13150840509658626 T^{16} + 468579968669018162 T^{18} + 12813716800738262040 T^{20} + \)\(24\!\cdots\!42\)\( T^{22} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( 1 + 8 T - 18 T^{2} - 359 T^{3} + 1229 T^{4} - 16569 T^{5} - 310715 T^{6} - 1010709 T^{7} + 4573109 T^{8} - 81486179 T^{9} - 249225138 T^{10} + 6756770408 T^{11} + 51520374361 T^{12} \))(\( 1 + 7 T + 18 T^{2} + 399 T^{3} + 5241 T^{4} + 65499 T^{5} + 509772 T^{6} + 1220030 T^{7} + 17894495 T^{8} + 360127180 T^{9} + 2886283711 T^{10} + 14727499143 T^{11} + 68550746229 T^{12} + 898377447723 T^{13} + 10739861688631 T^{14} + 81742027443580 T^{15} + 247764332545295 T^{16} + 1030432825109030 T^{17} + 26263644278755692 T^{18} + 205846513016539479 T^{19} + 1004738027418749721 T^{20} + 4665964291040822259 T^{21} + 12840172409931886818 T^{22} + \)\(30\!\cdots\!27\)\( T^{23} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( ( 1 + 13 T + 61 T^{2} )^{6}( 1 - T - 60 T^{2} + 121 T^{3} + 3539 T^{4} - 10920 T^{5} - 204959 T^{6} - 666120 T^{7} + 13168619 T^{8} + 27464701 T^{9} - 830750460 T^{10} - 844596301 T^{11} + 51520374361 T^{12} ) \))
$67$ (\( 1 + 5 T + 67 T^{2} \))(\( 1 + 5 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 - 11 T + 67 T^{2} \))(\( 1 - 11 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( ( 1 + 4 T + 67 T^{2} )^{2} \))(\( ( 1 - 4 T + 67 T^{2} )^{2} \))(\( 1 + 102 T^{2} + 4489 T^{4} \))(\( 1 + 102 T^{2} + 4489 T^{4} \))(\( ( 1 - 11 T + 67 T^{2} )^{4} \))(\( ( 1 + 62 T^{2} + 4489 T^{4} )^{4} \))(\( 1 + 4 T - 51 T^{2} + 268 T^{3} + 4489 T^{4} \))(\( 1 + 4 T - 51 T^{2} + 268 T^{3} + 4489 T^{4} \))(\( ( 1 - 5 T + 67 T^{2} )( 1 + 16 T + 67 T^{2} ) \))(\( 1 + 4 T - 51 T^{2} + 268 T^{3} + 4489 T^{4} \))(\( ( 1 - 16 T + 67 T^{2} )( 1 + 11 T + 67 T^{2} ) \))(\( 1 - 102 T^{2} + 5915 T^{4} - 457878 T^{6} + 20151121 T^{8} \))(\( 1 - 102 T^{2} + 5915 T^{4} - 457878 T^{6} + 20151121 T^{8} \))(\( ( 1 + 4 T - 51 T^{2} + 268 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 - 4 T - 51 T^{2} - 268 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 - 4 T - 51 T^{2} - 268 T^{3} + 4489 T^{4} )^{2} \))(\( 1 + 4 T - 51 T^{2} + 268 T^{3} + 4489 T^{4} \))(\( 1 + 4 T - 51 T^{2} + 268 T^{3} + 4489 T^{4} \))(\( 1 - 12 T - 78 T^{2} + 518 T^{3} + 15318 T^{4} - 50094 T^{5} - 815637 T^{6} - 3356298 T^{7} + 68762502 T^{8} + 155795234 T^{9} - 1571787438 T^{10} - 16201501284 T^{11} + 90458382169 T^{12} \))(\( 1 + 6 T^{2} + 1366 T^{3} + 438 T^{4} + 4098 T^{5} + 1065603 T^{6} + 274566 T^{7} + 1966182 T^{8} + 410842258 T^{9} + 120906726 T^{10} + 90458382169 T^{12} \))(\( 1 + 2 T - 128 T^{2} - 128 T^{3} + 6161 T^{4} - 2183 T^{5} + 29300 T^{6} + 394018 T^{7} - 17169907 T^{8} - 2850929 T^{9} + 1197895103 T^{10} - 191012243 T^{11} - 77075712523 T^{12} + 118506035734 T^{13} + 590427845300 T^{14} - 2947323108581 T^{15} + 557314092543209 T^{16} - 775771085481344 T^{17} - 51976662727250048 T^{18} + 54413068792589894 T^{19} + 1822837804551761449 T^{20} \))(\( 1 + 2 T - 128 T^{2} - 128 T^{3} + 6161 T^{4} - 2183 T^{5} + 29300 T^{6} + 394018 T^{7} - 17169907 T^{8} - 2850929 T^{9} + 1197895103 T^{10} - 191012243 T^{11} - 77075712523 T^{12} + 118506035734 T^{13} + 590427845300 T^{14} - 2947323108581 T^{15} + 557314092543209 T^{16} - 775771085481344 T^{17} - 51976662727250048 T^{18} + 54413068792589894 T^{19} + 1822837804551761449 T^{20} \))(\( ( 1 - 90 T^{2} + 706 T^{3} + 2070 T^{4} - 31770 T^{5} + 183435 T^{6} - 2128590 T^{7} + 9292230 T^{8} + 212338678 T^{9} - 1813600890 T^{10} + 90458382169 T^{12} )^{2} \))(\( 1 + 4 T - 51 T^{2} + 268 T^{3} + 4489 T^{4} \))(\( 1 - 12 T - 78 T^{2} + 518 T^{3} + 15318 T^{4} - 50094 T^{5} - 815637 T^{6} - 3356298 T^{7} + 68762502 T^{8} + 155795234 T^{9} - 1571787438 T^{10} - 16201501284 T^{11} + 90458382169 T^{12} \))(\( 1 - 12 T - 78 T^{2} + 518 T^{3} + 15318 T^{4} - 50094 T^{5} - 815637 T^{6} - 3356298 T^{7} + 68762502 T^{8} + 155795234 T^{9} - 1571787438 T^{10} - 16201501284 T^{11} + 90458382169 T^{12} \))(\( 1 + 6 T^{2} + 1366 T^{3} + 438 T^{4} + 4098 T^{5} + 1065603 T^{6} + 274566 T^{7} + 1966182 T^{8} + 410842258 T^{9} + 120906726 T^{10} + 90458382169 T^{12} \))(\( 1 + 6 T^{2} + 1366 T^{3} + 438 T^{4} + 4098 T^{5} + 1065603 T^{6} + 274566 T^{7} + 1966182 T^{8} + 410842258 T^{9} + 120906726 T^{10} + 90458382169 T^{12} \))(\( 1 + 2 T - 128 T^{2} - 128 T^{3} + 6161 T^{4} - 2183 T^{5} + 29300 T^{6} + 394018 T^{7} - 17169907 T^{8} - 2850929 T^{9} + 1197895103 T^{10} - 191012243 T^{11} - 77075712523 T^{12} + 118506035734 T^{13} + 590427845300 T^{14} - 2947323108581 T^{15} + 557314092543209 T^{16} - 775771085481344 T^{17} - 51976662727250048 T^{18} + 54413068792589894 T^{19} + 1822837804551761449 T^{20} \))(\( ( 1 - 90 T^{2} + 706 T^{3} + 2070 T^{4} - 31770 T^{5} + 183435 T^{6} - 2128590 T^{7} + 9292230 T^{8} + 212338678 T^{9} - 1813600890 T^{10} + 90458382169 T^{12} )^{2} \))(\( ( 1 - 4 T + 67 T^{2} )^{2} \))(\( ( 1 - 6 T^{2} + 683 T^{3} - 402 T^{4} + 300763 T^{6} )^{2} \))(\( ( 1 - 6 T^{2} + 683 T^{3} - 402 T^{4} + 300763 T^{6} )^{2} \))(\( ( 1 + 12 T + 222 T^{2} + 1591 T^{3} + 14874 T^{4} + 53868 T^{5} + 300763 T^{6} )^{2} \))(\( ( 1 + 12 T + 222 T^{2} + 1591 T^{3} + 14874 T^{4} + 53868 T^{5} + 300763 T^{6} )^{2} \))(\( ( 1 - 2 T + 132 T^{2} - 196 T^{3} + 10871 T^{4} - 15429 T^{5} + 728357 T^{6} - 879844 T^{7} + 39700716 T^{8} - 40302242 T^{9} + 1350125107 T^{10} )^{2} \))(\( ( 1 + 90 T^{2} + 353 T^{3} + 6030 T^{4} + 300763 T^{6} )^{4} \))(\( ( 1 + 4 T + 67 T^{2} )^{2} \))(\( ( 1 - 10 T + 282 T^{2} - 2634 T^{3} + 34317 T^{4} - 263157 T^{5} + 2299239 T^{6} - 11824026 T^{7} + 84815166 T^{8} - 201511210 T^{9} + 1350125107 T^{10} )^{2} \))(\( ( 1 + 6 T + 186 T^{2} + 811 T^{3} + 12462 T^{4} + 26934 T^{5} + 300763 T^{6} )^{4} \))(\( 1 - 4 T - 51 T^{2} - 268 T^{3} + 4489 T^{4} \))(\( 1 - 4 T - 51 T^{2} - 268 T^{3} + 4489 T^{4} \))(\( 1 + 10 T - 182 T^{2} - 2448 T^{3} + 18867 T^{4} + 319605 T^{5} - 772530 T^{6} - 23213154 T^{7} - 12219093 T^{8} + 697872289 T^{9} + 3674653819 T^{10} + 46757443363 T^{11} - 54851508477 T^{12} - 6981657836502 T^{13} - 15567345506130 T^{14} + 431506734822735 T^{15} + 1706678296382523 T^{16} - 14836622009830704 T^{17} - 73904317315308662 T^{18} + 272065343962949470 T^{19} + 1822837804551761449 T^{20} \))(\( 1 + 10 T - 182 T^{2} - 2448 T^{3} + 18867 T^{4} + 319605 T^{5} - 772530 T^{6} - 23213154 T^{7} - 12219093 T^{8} + 697872289 T^{9} + 3674653819 T^{10} + 46757443363 T^{11} - 54851508477 T^{12} - 6981657836502 T^{13} - 15567345506130 T^{14} + 431506734822735 T^{15} + 1706678296382523 T^{16} - 14836622009830704 T^{17} - 73904317315308662 T^{18} + 272065343962949470 T^{19} + 1822837804551761449 T^{20} \))(\( ( 1 - 5 T + 67 T^{2} )^{2}( 1 + 16 T + 67 T^{2} )^{2} \))(\( ( 1 - 4 T - 51 T^{2} - 268 T^{3} + 4489 T^{4} )^{4} \))(\( ( 1 - 62 T^{2} - 645 T^{4} - 278318 T^{6} + 20151121 T^{8} )^{4} \))(\( 1 - 4 T - 51 T^{2} - 268 T^{3} + 4489 T^{4} \))(\( 1 + 10 T - 182 T^{2} - 2448 T^{3} + 18867 T^{4} + 319605 T^{5} - 772530 T^{6} - 23213154 T^{7} - 12219093 T^{8} + 697872289 T^{9} + 3674653819 T^{10} + 46757443363 T^{11} - 54851508477 T^{12} - 6981657836502 T^{13} - 15567345506130 T^{14} + 431506734822735 T^{15} + 1706678296382523 T^{16} - 14836622009830704 T^{17} - 73904317315308662 T^{18} + 272065343962949470 T^{19} + 1822837804551761449 T^{20} \))(\( ( 1 - 6 T - 150 T^{2} + 506 T^{3} + 17268 T^{4} - 28236 T^{5} - 1220289 T^{6} - 1891812 T^{7} + 77516052 T^{8} + 152186078 T^{9} - 3022668150 T^{10} - 8100750642 T^{11} + 90458382169 T^{12} )^{2} \))(\( ( 1 + 6 T + 206 T^{2} + 791 T^{3} + 13802 T^{4} + 26934 T^{5} + 300763 T^{6} )^{2} \))(\( ( 1 - 24 T + 544 T^{2} - 7969 T^{3} + 103505 T^{4} - 1061603 T^{5} + 9586871 T^{6} - 71127401 T^{7} + 464633945 T^{8} - 2396780347 T^{9} + 10962209824 T^{10} - 32403002568 T^{11} + 90458382169 T^{12} )^{2} \))(\( ( 1 - 16 T + 189 T^{2} - 1952 T^{3} + 18569 T^{4} - 166320 T^{5} + 1416997 T^{6} - 11143440 T^{7} + 83356241 T^{8} - 587089376 T^{9} + 3808561869 T^{10} - 21602001712 T^{11} + 90458382169 T^{12} )( 1 + 5 T - 42 T^{2} - 545 T^{3} + 89 T^{4} + 36960 T^{5} + 178837 T^{6} + 2476320 T^{7} + 399521 T^{8} - 163915835 T^{9} - 846347082 T^{10} + 6750625535 T^{11} + 90458382169 T^{12} ) \))
$71$ (\( 1 - 6 T + 71 T^{2} \))(\( 1 - 6 T + 71 T^{2} \))(\( 1 + 16 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 34 T^{2} + 5041 T^{4} \))(\( 1 + 114 T^{2} + 5041 T^{4} \))(\( 1 - 4 T + 18 T^{2} - 284 T^{3} + 5041 T^{4} \))(\( 1 - 4 T + 18 T^{2} - 284 T^{3} + 5041 T^{4} \))(\( ( 1 - 92 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 - 260 T^{2} + 26854 T^{4} - 1310660 T^{6} + 25411681 T^{8} )^{2} \))(\( ( 1 + 71 T^{2} )^{2} \))(\( ( 1 + 71 T^{2} )^{2} \))(\( ( 1 + 71 T^{2} )^{2} \))(\( ( 1 + 16 T + 71 T^{2} )^{2} \))(\( ( 1 - 6 T + 71 T^{2} )^{2} \))(\( ( 1 - 4 T + 18 T^{2} - 284 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 - 4 T + 18 T^{2} - 284 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 + 114 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 + 34 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 + 34 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 + 12 T + 71 T^{2} )^{2} \))(\( ( 1 + 12 T + 71 T^{2} )^{2} \))(\( ( 1 - 9 T + 159 T^{2} - 1305 T^{3} + 11289 T^{4} - 45369 T^{5} + 357911 T^{6} )^{2} \))(\( ( 1 - 9 T + 207 T^{2} - 1197 T^{3} + 14697 T^{4} - 45369 T^{5} + 357911 T^{6} )^{2} \))(\( ( 1 + 3 T + 187 T^{2} + 285 T^{3} + 15679 T^{4} + 10143 T^{5} + 1113209 T^{6} + 1436685 T^{7} + 66929357 T^{8} + 76235043 T^{9} + 1804229351 T^{10} )^{2} \))(\( ( 1 + 3 T + 187 T^{2} + 285 T^{3} + 15679 T^{4} + 10143 T^{5} + 1113209 T^{6} + 1436685 T^{7} + 66929357 T^{8} + 76235043 T^{9} + 1804229351 T^{10} )^{2} \))(\( ( 1 - 19 T + 329 T^{2} - 2925 T^{3} + 23359 T^{4} - 95779 T^{5} + 357911 T^{6} )^{4} \))(\( ( 1 + 12 T + 71 T^{2} )^{2} \))(\( ( 1 - 9 T + 159 T^{2} - 1305 T^{3} + 11289 T^{4} - 45369 T^{5} + 357911 T^{6} )^{2} \))(\( ( 1 - 9 T + 159 T^{2} - 1305 T^{3} + 11289 T^{4} - 45369 T^{5} + 357911 T^{6} )^{2} \))(\( ( 1 - 9 T + 207 T^{2} - 1197 T^{3} + 14697 T^{4} - 45369 T^{5} + 357911 T^{6} )^{2} \))(\( ( 1 - 9 T + 207 T^{2} - 1197 T^{3} + 14697 T^{4} - 45369 T^{5} + 357911 T^{6} )^{2} \))(\( ( 1 + 3 T + 187 T^{2} + 285 T^{3} + 15679 T^{4} + 10143 T^{5} + 1113209 T^{6} + 1436685 T^{7} + 66929357 T^{8} + 76235043 T^{9} + 1804229351 T^{10} )^{2} \))(\( ( 1 - 19 T + 329 T^{2} - 2925 T^{3} + 23359 T^{4} - 95779 T^{5} + 357911 T^{6} )^{4} \))(\( ( 1 + 12 T + 71 T^{2} )^{2} \))(\( ( 1 - 9 T + 207 T^{2} - 1197 T^{3} + 14697 T^{4} - 45369 T^{5} + 357911 T^{6} )^{2} \))(\( ( 1 - 9 T + 207 T^{2} - 1197 T^{3} + 14697 T^{4} - 45369 T^{5} + 357911 T^{6} )^{2} \))(\( ( 1 - 9 T + 159 T^{2} - 1305 T^{3} + 11289 T^{4} - 45369 T^{5} + 357911 T^{6} )^{2} \))(\( ( 1 - 9 T + 159 T^{2} - 1305 T^{3} + 11289 T^{4} - 45369 T^{5} + 357911 T^{6} )^{2} \))(\( ( 1 + 3 T + 187 T^{2} + 285 T^{3} + 15679 T^{4} + 10143 T^{5} + 1113209 T^{6} + 1436685 T^{7} + 66929357 T^{8} + 76235043 T^{9} + 1804229351 T^{10} )^{2} \))(\( ( 1 - 19 T + 329 T^{2} - 2925 T^{3} + 23359 T^{4} - 95779 T^{5} + 357911 T^{6} )^{4} \))(\( 1 - 130 T^{2} + 5041 T^{4} \))(\( 1 - 351 T^{2} + 63037 T^{4} - 7800935 T^{6} + 747809113 T^{8} - 58386380555 T^{10} + 3769705738633 T^{12} - 198234871721735 T^{14} + 8075057597528077 T^{16} - 226659489467262111 T^{18} + 3255243551009881201 T^{20} \))(\( ( 1 - 263 T^{2} + 31517 T^{4} - 2539307 T^{6} + 158877197 T^{8} - 6683272103 T^{10} + 128100283921 T^{12} )^{2} \))(\( 1 - 130 T^{2} + 5041 T^{4} \))(\( 1 - 130 T^{2} + 5041 T^{4} \))(\( 1 - 351 T^{2} + 63037 T^{4} - 7800935 T^{6} + 747809113 T^{8} - 58386380555 T^{10} + 3769705738633 T^{12} - 198234871721735 T^{14} + 8075057597528077 T^{16} - 226659489467262111 T^{18} + 3255243551009881201 T^{20} \))(\( 1 - 351 T^{2} + 63037 T^{4} - 7800935 T^{6} + 747809113 T^{8} - 58386380555 T^{10} + 3769705738633 T^{12} - 198234871721735 T^{14} + 8075057597528077 T^{16} - 226659489467262111 T^{18} + 3255243551009881201 T^{20} \))(\( ( 1 - 92 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 + 2914 T^{4} + 25411681 T^{8} )^{2} \))(\( ( 1 - 260 T^{2} + 26854 T^{4} - 1310660 T^{6} + 25411681 T^{8} )^{4} \))(\( 1 - 130 T^{2} + 5041 T^{4} \))(\( 1 - 351 T^{2} + 63037 T^{4} - 7800935 T^{6} + 747809113 T^{8} - 58386380555 T^{10} + 3769705738633 T^{12} - 198234871721735 T^{14} + 8075057597528077 T^{16} - 226659489467262111 T^{18} + 3255243551009881201 T^{20} \))(\( ( 1 - 263 T^{2} + 31517 T^{4} - 2539307 T^{6} + 158877197 T^{8} - 6683272103 T^{10} + 128100283921 T^{12} )^{2} \))(\( 1 + 5 T + 66 T^{2} - 116 T^{3} + 4296 T^{4} - 31079 T^{5} + 6755 T^{6} - 2206609 T^{7} + 21656136 T^{8} - 41517676 T^{9} + 1677170946 T^{10} + 9021146755 T^{11} + 128100283921 T^{12} \))(\( 1 - 39 T + 871 T^{2} - 14307 T^{3} + 190092 T^{4} - 2083466 T^{5} + 18915358 T^{6} - 138847559 T^{7} + 724402569 T^{8} - 765520348 T^{9} - 40173731301 T^{10} + 631486451309 T^{11} - 6236115389021 T^{12} + 44835538042939 T^{13} - 202515779488341 T^{14} - 273988153273028 T^{15} + 18408286999008489 T^{16} - 250512841262504209 T^{17} + 2423062730267358718 T^{18} - 18949373615922263206 T^{19} + \)\(12\!\cdots\!12\)\( T^{20} - \)\(65\!\cdots\!17\)\( T^{21} + \)\(28\!\cdots\!71\)\( T^{22} - \)\(90\!\cdots\!69\)\( T^{23} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( ( 1 - 71 T^{2} + 5041 T^{4} - 357911 T^{6} + 25411681 T^{8} - 1804229351 T^{10} + 128100283921 T^{12} )^{2} \))
$73$ (\( 1 - 3 T + 73 T^{2} \))(\( 1 + 3 T + 73 T^{2} \))(\( 1 + 73 T^{2} \))(\( 1 + 7 T + 73 T^{2} \))(\( 1 - 7 T + 73 T^{2} \))(\( 1 - 6 T + 73 T^{2} \))(\( ( 1 + 14 T + 73 T^{2} )^{2} \))(\( ( 1 + 73 T^{2} )^{2} \))(\( 1 - 8 T + 64 T^{2} - 584 T^{3} + 5329 T^{4} \))(\( 1 + 8 T + 64 T^{2} + 584 T^{3} + 5329 T^{4} \))(\( ( 1 - 17 T + 73 T^{2} )^{2}( 1 + 17 T + 73 T^{2} )^{2} \))(\( ( 1 - 240 T^{2} + 24480 T^{4} - 1278960 T^{6} + 28398241 T^{8} )^{2} \))(\( 1 - 6 T - 37 T^{2} - 438 T^{3} + 5329 T^{4} \))(\( 1 + 6 T - 37 T^{2} + 438 T^{3} + 5329 T^{4} \))(\( ( 1 - 10 T + 73 T^{2} )( 1 + 17 T + 73 T^{2} ) \))(\( 1 - 73 T^{2} + 5329 T^{4} \))(\( 1 + 3 T - 64 T^{2} + 219 T^{3} + 5329 T^{4} \))(\( 1 - 8 T + 656 T^{3} - 5905 T^{4} + 47888 T^{5} - 3112136 T^{7} + 28398241 T^{8} \))(\( 1 + 8 T - 656 T^{3} - 5905 T^{4} - 47888 T^{5} + 3112136 T^{7} + 28398241 T^{8} \))(\( ( 1 - 73 T^{2} + 5329 T^{4} )^{2} \))(\( ( 1 - 14 T + 123 T^{2} - 1022 T^{3} + 5329 T^{4} )^{2} \))(\( ( 1 + 14 T + 123 T^{2} + 1022 T^{3} + 5329 T^{4} )^{2} \))(\( ( 1 + 3 T + 73 T^{2} )^{2} \))(\( ( 1 - 3 T + 73 T^{2} )^{2} \))(\( ( 1 - 21 T + 303 T^{2} - 2797 T^{3} + 22119 T^{4} - 111909 T^{5} + 389017 T^{6} )^{2} \))(\( ( 1 + 3 T + 51 T^{2} + 681 T^{3} + 3723 T^{4} + 15987 T^{5} + 389017 T^{6} )^{2} \))(\( ( 1 + 15 T + 359 T^{2} + 3943 T^{3} + 53173 T^{4} + 414929 T^{5} + 3881629 T^{6} + 21012247 T^{7} + 139657103 T^{8} + 425973615 T^{9} + 2073071593 T^{10} )^{2} \))(\( ( 1 - 15 T + 359 T^{2} - 3943 T^{3} + 53173 T^{4} - 414929 T^{5} + 3881629 T^{6} - 21012247 T^{7} + 139657103 T^{8} - 425973615 T^{9} + 2073071593 T^{10} )^{2} \))(\( ( 1 + 363 T^{2} + 59331 T^{4} + 5567537 T^{6} + 316174899 T^{8} + 10308561483 T^{10} + 151334226289 T^{12} )^{2} \))(\( 1 - 3 T - 64 T^{2} - 219 T^{3} + 5329 T^{4} \))(\( 1 + 21 T + 138 T^{2} + 769 T^{3} + 10953 T^{4} + 30402 T^{5} - 450903 T^{6} + 2219346 T^{7} + 58368537 T^{8} + 299154073 T^{9} + 3918957258 T^{10} + 43534503453 T^{11} + 151334226289 T^{12} \))(\( 1 - 21 T + 138 T^{2} - 769 T^{3} + 10953 T^{4} - 30402 T^{5} - 450903 T^{6} - 2219346 T^{7} + 58368537 T^{8} - 299154073 T^{9} + 3918957258 T^{10} - 43534503453 T^{11} + 151334226289 T^{12} \))(\( 1 - 3 T - 42 T^{2} + 1209 T^{3} - 3165 T^{4} - 28380 T^{5} + 1003961 T^{6} - 2071740 T^{7} - 16866285 T^{8} + 470321553 T^{9} - 1192726122 T^{10} - 6219214779 T^{11} + 151334226289 T^{12} \))(\( 1 + 3 T - 42 T^{2} - 1209 T^{3} - 3165 T^{4} + 28380 T^{5} + 1003961 T^{6} + 2071740 T^{7} - 16866285 T^{8} - 470321553 T^{9} - 1192726122 T^{10} + 6219214779 T^{11} + 151334226289 T^{12} \))(\( 1 + 15 T - 134 T^{2} - 2501 T^{3} + 16563 T^{4} + 235276 T^{5} - 2002535 T^{6} - 9021201 T^{7} + 288508378 T^{8} + 238799411 T^{9} - 25271949561 T^{10} + 17432357003 T^{11} + 1537461146362 T^{12} - 3509400549417 T^{13} - 56868471540935 T^{14} + 487743992114668 T^{15} + 2506548790024707 T^{16} - 27629543696261597 T^{17} - 108065652313806854 T^{18} + 883073800624018695 T^{19} + 4297625829703557649 T^{20} \))(\( 1 - 363 T^{2} + 72438 T^{4} - 10402079 T^{6} + 1182976731 T^{8} - 111093122556 T^{10} + 8799155948049 T^{12} - 592015250100924 T^{14} + 33594458304330171 T^{16} - 1574190577262054831 T^{18} + 58418356136623439478 T^{20} - \)\(15\!\cdots\!87\)\( T^{22} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 - 3 T - 64 T^{2} - 219 T^{3} + 5329 T^{4} \))(\( 1 - 3 T - 42 T^{2} + 1209 T^{3} - 3165 T^{4} - 28380 T^{5} + 1003961 T^{6} - 2071740 T^{7} - 16866285 T^{8} + 470321553 T^{9} - 1192726122 T^{10} - 6219214779 T^{11} + 151334226289 T^{12} \))(\( 1 + 3 T - 42 T^{2} - 1209 T^{3} - 3165 T^{4} + 28380 T^{5} + 1003961 T^{6} + 2071740 T^{7} - 16866285 T^{8} - 470321553 T^{9} - 1192726122 T^{10} + 6219214779 T^{11} + 151334226289 T^{12} \))(\( 1 - 21 T + 138 T^{2} - 769 T^{3} + 10953 T^{4} - 30402 T^{5} - 450903 T^{6} - 2219346 T^{7} + 58368537 T^{8} - 299154073 T^{9} + 3918957258 T^{10} - 43534503453 T^{11} + 151334226289 T^{12} \))(\( 1 + 21 T + 138 T^{2} + 769 T^{3} + 10953 T^{4} + 30402 T^{5} - 450903 T^{6} + 2219346 T^{7} + 58368537 T^{8} + 299154073 T^{9} + 3918957258 T^{10} + 43534503453 T^{11} + 151334226289 T^{12} \))(\( 1 + 15 T - 134 T^{2} - 2501 T^{3} + 16563 T^{4} + 235276 T^{5} - 2002535 T^{6} - 9021201 T^{7} + 288508378 T^{8} + 238799411 T^{9} - 25271949561 T^{10} + 17432357003 T^{11} + 1537461146362 T^{12} - 3509400549417 T^{13} - 56868471540935 T^{14} + 487743992114668 T^{15} + 2506548790024707 T^{16} - 27629543696261597 T^{17} - 108065652313806854 T^{18} + 883073800624018695 T^{19} + 4297625829703557649 T^{20} \))(\( 1 - 363 T^{2} + 72438 T^{4} - 10402079 T^{6} + 1182976731 T^{8} - 111093122556 T^{10} + 8799155948049 T^{12} - 592015250100924 T^{14} + 33594458304330171 T^{16} - 1574190577262054831 T^{18} + 58418356136623439478 T^{20} - \)\(15\!\cdots\!87\)\( T^{22} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 - 9 T + 100 T^{2} - 657 T^{3} + 5329 T^{4} \))(\( 1 + 3 T + 260 T^{2} + 771 T^{3} + 36639 T^{4} + 155724 T^{5} + 3663555 T^{6} + 21043473 T^{7} + 293486934 T^{8} + 2074196103 T^{9} + 21799556757 T^{10} + 151416315519 T^{11} + 1563991871286 T^{12} + 8186268736041 T^{13} + 104038517806755 T^{14} + 322827000748332 T^{15} + 5544734717002671 T^{16} + 8517544258223787 T^{17} + 209679623892461060 T^{18} + 176614760124803739 T^{19} + 4297625829703557649 T^{20} \))(\( 1 + 159 T^{2} + 14718 T^{4} + 432671 T^{6} - 43837515 T^{8} - 6799754718 T^{10} - 621204909015 T^{12} - 36235892892222 T^{14} - 1244908315811115 T^{16} + 65477931022687919 T^{18} + 11869479632497084158 T^{20} + \)\(68\!\cdots\!91\)\( T^{22} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 - 119 T^{2} + 5329 T^{4} \))(\( 1 - 119 T^{2} + 5329 T^{4} \))(\( 1 - 511 T^{2} + 124869 T^{4} - 19478727 T^{6} + 2170586121 T^{8} - 181575980223 T^{10} + 11567053438809 T^{12} - 553161583719207 T^{14} + 18896953502481141 T^{16} - 412101106957875391 T^{18} + 4297625829703557649 T^{20} \))(\( 1 - 511 T^{2} + 124869 T^{4} - 19478727 T^{6} + 2170586121 T^{8} - 181575980223 T^{10} + 11567053438809 T^{12} - 553161583719207 T^{14} + 18896953502481141 T^{16} - 412101106957875391 T^{18} + 4297625829703557649 T^{20} \))(\( ( 1 - 7 T + 73 T^{2} )^{2}( 1 + 10 T + 73 T^{2} )^{2} \))(\( ( 1 + 73 T^{2} + 5329 T^{4} )^{4} \))(\( ( 1 + 240 T^{2} + 33120 T^{4} + 3317280 T^{6} + 263921759 T^{8} + 17677785120 T^{10} + 940549741920 T^{12} + 36320214309360 T^{14} + 806460091894081 T^{16} )^{2} \))(\( 1 - 9 T + 100 T^{2} - 657 T^{3} + 5329 T^{4} \))(\( 1 + 3 T + 260 T^{2} + 771 T^{3} + 36639 T^{4} + 155724 T^{5} + 3663555 T^{6} + 21043473 T^{7} + 293486934 T^{8} + 2074196103 T^{9} + 21799556757 T^{10} + 151416315519 T^{11} + 1563991871286 T^{12} + 8186268736041 T^{13} + 104038517806755 T^{14} + 322827000748332 T^{15} + 5544734717002671 T^{16} + 8517544258223787 T^{17} + 209679623892461060 T^{18} + 176614760124803739 T^{19} + 4297625829703557649 T^{20} \))(\( 1 + 159 T^{2} + 14718 T^{4} + 432671 T^{6} - 43837515 T^{8} - 6799754718 T^{10} - 621204909015 T^{12} - 36235892892222 T^{14} - 1244908315811115 T^{16} + 65477931022687919 T^{18} + 11869479632497084158 T^{20} + \)\(68\!\cdots\!91\)\( T^{22} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 - 4 T + 111 T^{2} - 68 T^{3} + 11531 T^{4} + 24234 T^{5} + 541591 T^{6} + 1769082 T^{7} + 61448699 T^{8} - 26453156 T^{9} + 3152204751 T^{10} - 8292286372 T^{11} + 151334226289 T^{12} \))(\( 1 - 42 T + 715 T^{2} - 5880 T^{3} + 11304 T^{4} + 423150 T^{5} - 8979169 T^{6} + 106207794 T^{7} - 735951847 T^{8} + 1892847096 T^{9} + 28699443498 T^{10} - 614746868148 T^{11} + 6731348891281 T^{12} - 44876521374804 T^{13} + 152939334400842 T^{14} + 736349698744632 T^{15} - 20899737915501127 T^{16} + 220176360696595842 T^{17} - 1358855593333173841 T^{18} + 4674706683355895550 T^{19} + 9116224878770691624 T^{20} - \)\(34\!\cdots\!40\)\( T^{21} + \)\(30\!\cdots\!35\)\( T^{22} - \)\(13\!\cdots\!34\)\( T^{23} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( ( 1 - 10 T + 27 T^{2} + 460 T^{3} - 6571 T^{4} + 32130 T^{5} + 158383 T^{6} + 2345490 T^{7} - 35016859 T^{8} + 178947820 T^{9} + 766752507 T^{10} - 20730715930 T^{11} + 151334226289 T^{12} )( 1 + 17 T + 216 T^{2} + 2431 T^{3} + 25559 T^{4} + 257040 T^{5} + 2503873 T^{6} + 18763920 T^{7} + 136203911 T^{8} + 945700327 T^{9} + 6134020056 T^{10} + 35242217081 T^{11} + 151334226289 T^{12} ) \))
$79$ (\( 1 + T + 79 T^{2} \))(\( 1 + T + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 + 13 T + 79 T^{2} \))(\( 1 + 13 T + 79 T^{2} \))(\( 1 + 16 T + 79 T^{2} \))(\( ( 1 - 8 T + 79 T^{2} )^{2} \))(\( ( 1 - 8 T + 79 T^{2} )^{2} \))(\( 1 - 16 T + 190 T^{2} - 1264 T^{3} + 6241 T^{4} \))(\( 1 - 16 T + 190 T^{2} - 1264 T^{3} + 6241 T^{4} \))(\( ( 1 - 5 T + 79 T^{2} )^{4} \))(\( ( 1 + 8 T + 142 T^{2} + 632 T^{3} + 6241 T^{4} )^{4} \))(\( 1 - 16 T + 177 T^{2} - 1264 T^{3} + 6241 T^{4} \))(\( 1 - 16 T + 177 T^{2} - 1264 T^{3} + 6241 T^{4} \))(\( ( 1 - 17 T + 79 T^{2} )( 1 + 4 T + 79 T^{2} ) \))(\( 1 + 8 T - 15 T^{2} + 632 T^{3} + 6241 T^{4} \))(\( 1 - T - 78 T^{2} - 79 T^{3} + 6241 T^{4} \))(\( 1 + 16 T + 66 T^{2} + 512 T^{3} + 9635 T^{4} + 40448 T^{5} + 411906 T^{6} + 7888624 T^{7} + 38950081 T^{8} \))(\( 1 + 16 T + 66 T^{2} + 512 T^{3} + 9635 T^{4} + 40448 T^{5} + 411906 T^{6} + 7888624 T^{7} + 38950081 T^{8} \))(\( ( 1 + 8 T - 15 T^{2} + 632 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 + 8 T - 15 T^{2} + 632 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 + 8 T - 15 T^{2} + 632 T^{3} + 6241 T^{4} )^{2} \))(\( 1 + 8 T - 15 T^{2} + 632 T^{3} + 6241 T^{4} \))(\( 1 + 8 T - 15 T^{2} + 632 T^{3} + 6241 T^{4} \))(\( 1 - 21 T + 84 T^{2} - 499 T^{3} + 25767 T^{4} - 195678 T^{5} + 408327 T^{6} - 15458562 T^{7} + 160811847 T^{8} - 246026461 T^{9} + 3271806804 T^{10} - 64618184379 T^{11} + 243087455521 T^{12} \))(\( 1 + 15 T + 36 T^{2} - 367 T^{3} - 3225 T^{4} - 51726 T^{5} - 676905 T^{6} - 4086354 T^{7} - 20127225 T^{8} - 180945313 T^{9} + 1402202916 T^{10} + 46155845985 T^{11} + 243087455521 T^{12} \))(\( 1 + 4 T - 284 T^{2} - 1776 T^{3} + 44175 T^{4} + 312399 T^{5} - 4187754 T^{6} - 29772300 T^{7} + 295992489 T^{8} + 1067553919 T^{9} - 20151634301 T^{10} + 84336759601 T^{11} + 1847289123849 T^{12} - 14678905019700 T^{13} - 163113357508074 T^{14} + 961269341991201 T^{15} + 10738388347640175 T^{16} - 34106142359418384 T^{17} - 430858902013463324 T^{18} + 479406383930473276 T^{19} + 9468276082626847201 T^{20} \))(\( 1 + 4 T - 284 T^{2} - 1776 T^{3} + 44175 T^{4} + 312399 T^{5} - 4187754 T^{6} - 29772300 T^{7} + 295992489 T^{8} + 1067553919 T^{9} - 20151634301 T^{10} + 84336759601 T^{11} + 1847289123849 T^{12} - 14678905019700 T^{13} - 163113357508074 T^{14} + 961269341991201 T^{15} + 10738388347640175 T^{16} - 34106142359418384 T^{17} - 430858902013463324 T^{18} + 479406383930473276 T^{19} + 9468276082626847201 T^{20} \))(\( ( 1 - 3 T - 150 T^{2} + 257 T^{3} + 11619 T^{4} - 1710 T^{5} - 932601 T^{6} - 135090 T^{7} + 72514179 T^{8} + 126711023 T^{9} - 5842512150 T^{10} - 9231169197 T^{11} + 243087455521 T^{12} )^{2} \))(\( 1 + 8 T - 15 T^{2} + 632 T^{3} + 6241 T^{4} \))(\( 1 - 21 T + 84 T^{2} - 499 T^{3} + 25767 T^{4} - 195678 T^{5} + 408327 T^{6} - 15458562 T^{7} + 160811847 T^{8} - 246026461 T^{9} + 3271806804 T^{10} - 64618184379 T^{11} + 243087455521 T^{12} \))(\( 1 - 21 T + 84 T^{2} - 499 T^{3} + 25767 T^{4} - 195678 T^{5} + 408327 T^{6} - 15458562 T^{7} + 160811847 T^{8} - 246026461 T^{9} + 3271806804 T^{10} - 64618184379 T^{11} + 243087455521 T^{12} \))(\( 1 + 15 T + 36 T^{2} - 367 T^{3} - 3225 T^{4} - 51726 T^{5} - 676905 T^{6} - 4086354 T^{7} - 20127225 T^{8} - 180945313 T^{9} + 1402202916 T^{10} + 46155845985 T^{11} + 243087455521 T^{12} \))(\( 1 + 15 T + 36 T^{2} - 367 T^{3} - 3225 T^{4} - 51726 T^{5} - 676905 T^{6} - 4086354 T^{7} - 20127225 T^{8} - 180945313 T^{9} + 1402202916 T^{10} + 46155845985 T^{11} + 243087455521 T^{12} \))(\( 1 + 4 T - 284 T^{2} - 1776 T^{3} + 44175 T^{4} + 312399 T^{5} - 4187754 T^{6} - 29772300 T^{7} + 295992489 T^{8} + 1067553919 T^{9} - 20151634301 T^{10} + 84336759601 T^{11} + 1847289123849 T^{12} - 14678905019700 T^{13} - 163113357508074 T^{14} + 961269341991201 T^{15} + 10738388347640175 T^{16} - 34106142359418384 T^{17} - 430858902013463324 T^{18} + 479406383930473276 T^{19} + 9468276082626847201 T^{20} \))(\( ( 1 - 3 T - 150 T^{2} + 257 T^{3} + 11619 T^{4} - 1710 T^{5} - 932601 T^{6} - 135090 T^{7} + 72514179 T^{8} + 126711023 T^{9} - 5842512150 T^{10} - 9231169197 T^{11} + 243087455521 T^{12} )^{2} \))(\( ( 1 - 8 T + 79 T^{2} )^{2} \))(\( ( 1 - 15 T + 189 T^{2} - 1601 T^{3} + 14931 T^{4} - 93615 T^{5} + 493039 T^{6} )^{2} \))(\( ( 1 - 15 T + 189 T^{2} - 1601 T^{3} + 14931 T^{4} - 93615 T^{5} + 493039 T^{6} )^{2} \))(\( ( 1 + 21 T + 357 T^{2} + 3499 T^{3} + 28203 T^{4} + 131061 T^{5} + 493039 T^{6} )^{2} \))(\( ( 1 + 21 T + 357 T^{2} + 3499 T^{3} + 28203 T^{4} + 131061 T^{5} + 493039 T^{6} )^{2} \))(\( ( 1 - 4 T + 300 T^{2} - 1488 T^{3} + 39873 T^{4} - 184983 T^{5} + 3149967 T^{6} - 9286608 T^{7} + 147911700 T^{8} - 155800324 T^{9} + 3077056399 T^{10} )^{2} \))(\( ( 1 + 3 T + 159 T^{2} + 367 T^{3} + 12561 T^{4} + 18723 T^{5} + 493039 T^{6} )^{4} \))(\( ( 1 - 8 T + 79 T^{2} )^{2} \))(\( ( 1 + 20 T + 354 T^{2} + 3468 T^{3} + 34803 T^{4} + 265629 T^{5} + 2749437 T^{6} + 21643788 T^{7} + 174535806 T^{8} + 779001620 T^{9} + 3077056399 T^{10} )^{2} \))(\( ( 1 - 3 T + 213 T^{2} - 395 T^{3} + 16827 T^{4} - 18723 T^{5} + 493039 T^{6} )^{4} \))(\( 1 + 8 T - 15 T^{2} + 632 T^{3} + 6241 T^{4} \))(\( 1 + 8 T - 15 T^{2} + 632 T^{3} + 6241 T^{4} \))(\( 1 - 20 T + 46 T^{2} - 144 T^{3} + 21153 T^{4} - 101181 T^{5} - 106944 T^{6} - 9264000 T^{7} + 7962453 T^{8} + 230795113 T^{9} + 4723714795 T^{10} + 18232813927 T^{11} + 49693669173 T^{12} - 4567513296000 T^{13} - 4165477462464 T^{14} - 311339643507219 T^{15} + 5142028946635713 T^{16} - 2765362894006896 T^{17} + 69787005255701806 T^{18} - 2397031919652366380 T^{19} + 9468276082626847201 T^{20} \))(\( 1 - 20 T + 46 T^{2} - 144 T^{3} + 21153 T^{4} - 101181 T^{5} - 106944 T^{6} - 9264000 T^{7} + 7962453 T^{8} + 230795113 T^{9} + 4723714795 T^{10} + 18232813927 T^{11} + 49693669173 T^{12} - 4567513296000 T^{13} - 4165477462464 T^{14} - 311339643507219 T^{15} + 5142028946635713 T^{16} - 2765362894006896 T^{17} + 69787005255701806 T^{18} - 2397031919652366380 T^{19} + 9468276082626847201 T^{20} \))(\( ( 1 + 5 T - 54 T^{2} + 395 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 + 8 T - 15 T^{2} + 632 T^{3} + 6241 T^{4} )^{4} \))(\( ( 1 - 8 T - 78 T^{2} + 128 T^{3} + 8867 T^{4} + 10112 T^{5} - 486798 T^{6} - 3944312 T^{7} + 38950081 T^{8} )^{4} \))(\( 1 + 8 T - 15 T^{2} + 632 T^{3} + 6241 T^{4} \))(\( 1 - 20 T + 46 T^{2} - 144 T^{3} + 21153 T^{4} - 101181 T^{5} - 106944 T^{6} - 9264000 T^{7} + 7962453 T^{8} + 230795113 T^{9} + 4723714795 T^{10} + 18232813927 T^{11} + 49693669173 T^{12} - 4567513296000 T^{13} - 4165477462464 T^{14} - 311339643507219 T^{15} + 5142028946635713 T^{16} - 2765362894006896 T^{17} + 69787005255701806 T^{18} - 2397031919652366380 T^{19} + 9468276082626847201 T^{20} \))(\( ( 1 + 3 T - 204 T^{2} - 151 T^{3} + 27357 T^{4} + 1896 T^{5} - 2498217 T^{6} + 149784 T^{7} + 170735037 T^{8} - 74448889 T^{9} - 7945816524 T^{10} + 9231169197 T^{11} + 243087455521 T^{12} )^{2} \))(\( ( 1 - 30 T + 530 T^{2} - 5677 T^{3} + 41870 T^{4} - 187230 T^{5} + 493039 T^{6} )^{2} \))(\( ( 1 + 8 T + 377 T^{2} + 2713 T^{3} + 66443 T^{4} + 395274 T^{5} + 6756729 T^{6} + 31226646 T^{7} + 414670763 T^{8} + 1337614807 T^{9} + 14684180537 T^{10} + 24616451192 T^{11} + 243087455521 T^{12} )^{2} \))(\( ( 1 - 4 T - 63 T^{2} + 568 T^{3} + 2705 T^{4} - 55692 T^{5} + 9073 T^{6} - 4399668 T^{7} + 16881905 T^{8} + 280046152 T^{9} - 2453855103 T^{10} - 12308225596 T^{11} + 243087455521 T^{12} )( 1 + 17 T + 210 T^{2} + 2227 T^{3} + 21269 T^{4} + 185640 T^{5} + 1475629 T^{6} + 14665560 T^{7} + 132739829 T^{8} + 1097997853 T^{9} + 8179517010 T^{10} + 52309958783 T^{11} + 243087455521 T^{12} ) \))
$83$ (\( 1 - 6 T + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( ( 1 + 83 T^{2} )^{2} \))(\( ( 1 + 83 T^{2} )^{2} \))(\( 1 - 8 T + 54 T^{2} - 664 T^{3} + 6889 T^{4} \))(\( 1 + 8 T + 54 T^{2} + 664 T^{3} + 6889 T^{4} \))(\( ( 1 + 112 T^{2} + 6889 T^{4} )^{2} \))(\( ( 1 + 12 T^{2} + 13302 T^{4} + 82668 T^{6} + 47458321 T^{8} )^{2} \))(\( ( 1 - 12 T + 83 T^{2} )^{2} \))(\( ( 1 + 12 T + 83 T^{2} )^{2} \))(\( ( 1 + 83 T^{2} )^{2} \))(\( ( 1 + 83 T^{2} )^{2} \))(\( ( 1 - 6 T + 83 T^{2} )^{2} \))(\( ( 1 + 8 T + 54 T^{2} + 664 T^{3} + 6889 T^{4} )^{2} \))(\( ( 1 - 8 T + 54 T^{2} - 664 T^{3} + 6889 T^{4} )^{2} \))(\( ( 1 + 83 T^{2} )^{4} \))(\( ( 1 + 83 T^{2} )^{4} \))(\( ( 1 + 83 T^{2} )^{4} \))(\( 1 + 9 T - 2 T^{2} + 747 T^{3} + 6889 T^{4} \))(\( 1 - 9 T - 2 T^{2} - 747 T^{3} + 6889 T^{4} \))(\( 1 + 18 T + 30 T^{2} - 702 T^{3} + 8088 T^{4} + 126648 T^{5} + 719359 T^{6} + 10511784 T^{7} + 55718232 T^{8} - 401394474 T^{9} + 1423749630 T^{10} + 70902731574 T^{11} + 326940373369 T^{12} \))(\( 1 + 12 T - 144 T^{2} - 582 T^{3} + 34812 T^{4} + 90444 T^{5} - 2656433 T^{6} + 7506852 T^{7} + 239819868 T^{8} - 332780034 T^{9} - 6833998224 T^{10} + 47268487716 T^{11} + 326940373369 T^{12} \))(\( 1 - 9 T - 148 T^{2} - 297 T^{3} + 24654 T^{4} + 118125 T^{5} - 807174 T^{6} - 21382137 T^{7} - 37648479 T^{8} + 452536146 T^{9} + 15509586612 T^{10} + 37560500118 T^{11} - 259360371831 T^{12} - 12226027968819 T^{13} - 38307122794854 T^{14} + 465299175954375 T^{15} + 8060387965039326 T^{16} - 8059407143919219 T^{17} - 333339250356578068 T^{18} - 1682462297407863627 T^{19} + 15516041187205853449 T^{20} \))(\( 1 + 9 T - 148 T^{2} + 297 T^{3} + 24654 T^{4} - 118125 T^{5} - 807174 T^{6} + 21382137 T^{7} - 37648479 T^{8} - 452536146 T^{9} + 15509586612 T^{10} - 37560500118 T^{11} - 259360371831 T^{12} + 12226027968819 T^{13} - 38307122794854 T^{14} - 465299175954375 T^{15} + 8060387965039326 T^{16} + 8059407143919219 T^{17} - 333339250356578068 T^{18} + 1682462297407863627 T^{19} + 15516041187205853449 T^{20} \))(\( 1 - 270 T^{2} + 31896 T^{4} - 3065782 T^{6} + 318136230 T^{8} - 24401026026 T^{10} + 1632699460815 T^{12} - 168098668293114 T^{14} + 15098211325069830 T^{16} - 1002327911747959558 T^{18} + 71839113036306851736 T^{20} - \)\(41\!\cdots\!30\)\( T^{22} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 + 9 T - 2 T^{2} + 747 T^{3} + 6889 T^{4} \))(\( 1 + 18 T + 30 T^{2} - 702 T^{3} + 8088 T^{4} + 126648 T^{5} + 719359 T^{6} + 10511784 T^{7} + 55718232 T^{8} - 401394474 T^{9} + 1423749630 T^{10} + 70902731574 T^{11} + 326940373369 T^{12} \))(\( 1 - 18 T + 30 T^{2} + 702 T^{3} + 8088 T^{4} - 126648 T^{5} + 719359 T^{6} - 10511784 T^{7} + 55718232 T^{8} + 401394474 T^{9} + 1423749630 T^{10} - 70902731574 T^{11} + 326940373369 T^{12} \))(\( 1 + 12 T - 144 T^{2} - 582 T^{3} + 34812 T^{4} + 90444 T^{5} - 2656433 T^{6} + 7506852 T^{7} + 239819868 T^{8} - 332780034 T^{9} - 6833998224 T^{10} + 47268487716 T^{11} + 326940373369 T^{12} \))(\( 1 - 12 T - 144 T^{2} + 582 T^{3} + 34812 T^{4} - 90444 T^{5} - 2656433 T^{6} - 7506852 T^{7} + 239819868 T^{8} + 332780034 T^{9} - 6833998224 T^{10} - 47268487716 T^{11} + 326940373369 T^{12} \))(\( 1 + 9 T - 148 T^{2} + 297 T^{3} + 24654 T^{4} - 118125 T^{5} - 807174 T^{6} + 21382137 T^{7} - 37648479 T^{8} - 452536146 T^{9} + 15509586612 T^{10} - 37560500118 T^{11} - 259360371831 T^{12} + 12226027968819 T^{13} - 38307122794854 T^{14} - 465299175954375 T^{15} + 8060387965039326 T^{16} + 8059407143919219 T^{17} - 333339250356578068 T^{18} + 1682462297407863627 T^{19} + 15516041187205853449 T^{20} \))(\( 1 - 270 T^{2} + 31896 T^{4} - 3065782 T^{6} + 318136230 T^{8} - 24401026026 T^{10} + 1632699460815 T^{12} - 168098668293114 T^{14} + 15098211325069830 T^{16} - 1002327911747959558 T^{18} + 71839113036306851736 T^{20} - \)\(41\!\cdots\!30\)\( T^{22} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 + 9 T - 2 T^{2} + 747 T^{3} + 6889 T^{4} \))(\( 1 + 12 T - 144 T^{2} - 582 T^{3} + 34812 T^{4} + 90444 T^{5} - 2656433 T^{6} + 7506852 T^{7} + 239819868 T^{8} - 332780034 T^{9} - 6833998224 T^{10} + 47268487716 T^{11} + 326940373369 T^{12} \))(\( 1 - 12 T - 144 T^{2} + 582 T^{3} + 34812 T^{4} - 90444 T^{5} - 2656433 T^{6} - 7506852 T^{7} + 239819868 T^{8} + 332780034 T^{9} - 6833998224 T^{10} - 47268487716 T^{11} + 326940373369 T^{12} \))(\( 1 - 18 T + 30 T^{2} + 702 T^{3} + 8088 T^{4} - 126648 T^{5} + 719359 T^{6} - 10511784 T^{7} + 55718232 T^{8} + 401394474 T^{9} + 1423749630 T^{10} - 70902731574 T^{11} + 326940373369 T^{12} \))(\( 1 + 18 T + 30 T^{2} - 702 T^{3} + 8088 T^{4} + 126648 T^{5} + 719359 T^{6} + 10511784 T^{7} + 55718232 T^{8} - 401394474 T^{9} + 1423749630 T^{10} + 70902731574 T^{11} + 326940373369 T^{12} \))(\( 1 + 9 T - 148 T^{2} + 297 T^{3} + 24654 T^{4} - 118125 T^{5} - 807174 T^{6} + 21382137 T^{7} - 37648479 T^{8} - 452536146 T^{9} + 15509586612 T^{10} - 37560500118 T^{11} - 259360371831 T^{12} + 12226027968819 T^{13} - 38307122794854 T^{14} - 465299175954375 T^{15} + 8060387965039326 T^{16} + 8059407143919219 T^{17} - 333339250356578068 T^{18} + 1682462297407863627 T^{19} + 15516041187205853449 T^{20} \))(\( 1 - 270 T^{2} + 31896 T^{4} - 3065782 T^{6} + 318136230 T^{8} - 24401026026 T^{10} + 1632699460815 T^{12} - 168098668293114 T^{14} + 15098211325069830 T^{16} - 1002327911747959558 T^{18} + 71839113036306851736 T^{20} - \)\(41\!\cdots\!30\)\( T^{22} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 + 15 T + 142 T^{2} + 1245 T^{3} + 6889 T^{4} \))(\( 1 + 15 T - 136 T^{2} - 1773 T^{3} + 22674 T^{4} + 93717 T^{5} - 3687774 T^{6} - 10067337 T^{7} + 346135869 T^{8} + 496605294 T^{9} - 27460905396 T^{10} + 41218239402 T^{11} + 2384530001541 T^{12} - 5756372421219 T^{13} - 175015562267454 T^{14} + 369155071940031 T^{15} + 7413046025768706 T^{16} - 48112218404608671 T^{17} - 306311743570909576 T^{18} + 2804103829013106045 T^{19} + 15516041187205853449 T^{20} \))(\( 1 - 264 T^{2} + 27306 T^{4} - 2832334 T^{6} + 401548758 T^{8} - 35501027934 T^{10} + 2433955301391 T^{12} - 244566581437326 T^{14} + 19056829854315318 T^{16} - 926004335465713246 T^{18} + 61501091690788653546 T^{20} - \)\(40\!\cdots\!36\)\( T^{22} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 - 15 T + 142 T^{2} - 1245 T^{3} + 6889 T^{4} \))(\( 1 + 15 T + 142 T^{2} + 1245 T^{3} + 6889 T^{4} \))(\( 1 + 15 T - 136 T^{2} - 1773 T^{3} + 22674 T^{4} + 93717 T^{5} - 3687774 T^{6} - 10067337 T^{7} + 346135869 T^{8} + 496605294 T^{9} - 27460905396 T^{10} + 41218239402 T^{11} + 2384530001541 T^{12} - 5756372421219 T^{13} - 175015562267454 T^{14} + 369155071940031 T^{15} + 7413046025768706 T^{16} - 48112218404608671 T^{17} - 306311743570909576 T^{18} + 2804103829013106045 T^{19} + 15516041187205853449 T^{20} \))(\( 1 - 15 T - 136 T^{2} + 1773 T^{3} + 22674 T^{4} - 93717 T^{5} - 3687774 T^{6} + 10067337 T^{7} + 346135869 T^{8} - 496605294 T^{9} - 27460905396 T^{10} - 41218239402 T^{11} + 2384530001541 T^{12} + 5756372421219 T^{13} - 175015562267454 T^{14} - 369155071940031 T^{15} + 7413046025768706 T^{16} + 48112218404608671 T^{17} - 306311743570909576 T^{18} - 2804103829013106045 T^{19} + 15516041187205853449 T^{20} \))(\( ( 1 + 112 T^{2} + 6889 T^{4} )^{2} \))(\( ( 1 + 83 T^{2} )^{8} \))(\( ( 1 + 12 T^{2} + 13302 T^{4} + 82668 T^{6} + 47458321 T^{8} )^{4} \))(\( 1 - 15 T + 142 T^{2} - 1245 T^{3} + 6889 T^{4} \))(\( 1 - 15 T - 136 T^{2} + 1773 T^{3} + 22674 T^{4} - 93717 T^{5} - 3687774 T^{6} + 10067337 T^{7} + 346135869 T^{8} - 496605294 T^{9} - 27460905396 T^{10} - 41218239402 T^{11} + 2384530001541 T^{12} + 5756372421219 T^{13} - 175015562267454 T^{14} - 369155071940031 T^{15} + 7413046025768706 T^{16} + 48112218404608671 T^{17} - 306311743570909576 T^{18} - 2804103829013106045 T^{19} + 15516041187205853449 T^{20} \))(\( 1 - 264 T^{2} + 27306 T^{4} - 2832334 T^{6} + 401548758 T^{8} - 35501027934 T^{10} + 2433955301391 T^{12} - 244566581437326 T^{14} + 19056829854315318 T^{16} - 926004335465713246 T^{18} + 61501091690788653546 T^{20} - \)\(40\!\cdots\!36\)\( T^{22} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 - 14 T + 169 T^{2} - 2604 T^{3} + 26195 T^{4} - 277228 T^{5} + 3109373 T^{6} - 23009924 T^{7} + 180457355 T^{8} - 1488933348 T^{9} + 8020456249 T^{10} - 55146569002 T^{11} + 326940373369 T^{12} \))(\( 1 - 7 T - 180 T^{2} + 2240 T^{3} + 4210 T^{4} - 197155 T^{5} + 2020379 T^{6} - 9004401 T^{7} - 183343253 T^{8} + 3038332654 T^{9} - 7239918141 T^{10} - 149580689517 T^{11} + 1902505655127 T^{12} - 12415197229911 T^{13} - 49875796073349 T^{14} + 1737279113232698 T^{15} - 8701162954058213 T^{16} - 35468701504869843 T^{17} + 660543464606886851 T^{18} - 5350008132859911185 T^{19} + 9482150297305362610 T^{20} + \)\(41\!\cdots\!20\)\( T^{21} - \)\(27\!\cdots\!20\)\( T^{22} - \)\(90\!\cdots\!69\)\( T^{23} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( ( 1 - 83 T^{2} + 6889 T^{4} - 571787 T^{6} + 47458321 T^{8} - 3939040643 T^{10} + 326940373369 T^{12} )^{2} \))
$89$ (\( 1 - 16 T + 89 T^{2} \))(\( 1 + 16 T + 89 T^{2} \))(\( 1 + 89 T^{2} \))(\( 1 + 89 T^{2} \))(\( 1 + 89 T^{2} \))(\( 1 + 14 T + 89 T^{2} \))(\( 1 + 166 T^{2} + 7921 T^{4} \))(\( ( 1 + 89 T^{2} )^{2} \))(\( 1 - 20 T + 260 T^{2} - 1780 T^{3} + 7921 T^{4} \))(\( 1 + 20 T + 260 T^{2} + 1780 T^{3} + 7921 T^{4} \))(\( ( 1 + 154 T^{2} + 7921 T^{4} )^{2} \))(\( ( 1 + 192 T^{2} + 23136 T^{4} + 1520832 T^{6} + 62742241 T^{8} )^{2} \))(\( 1 + 14 T + 107 T^{2} + 1246 T^{3} + 7921 T^{4} \))(\( 1 - 14 T + 107 T^{2} - 1246 T^{3} + 7921 T^{4} \))(\( 1 - 89 T^{2} + 7921 T^{4} \))(\( 1 - 89 T^{2} + 7921 T^{4} \))(\( 1 + 16 T + 167 T^{2} + 1424 T^{3} + 7921 T^{4} \))(\( 1 - 20 T + 140 T^{2} - 1640 T^{3} + 24079 T^{4} - 145960 T^{5} + 1108940 T^{6} - 14099380 T^{7} + 62742241 T^{8} \))(\( 1 + 20 T + 140 T^{2} + 1640 T^{3} + 24079 T^{4} + 145960 T^{5} + 1108940 T^{6} + 14099380 T^{7} + 62742241 T^{8} \))(\( ( 1 - 89 T^{2} + 7921 T^{4} )^{2} \))(\( 1 - 166 T^{2} + 19635 T^{4} - 1314886 T^{6} + 62742241 T^{8} \))(\( 1 - 166 T^{2} + 19635 T^{4} - 1314886 T^{6} + 62742241 T^{8} \))(\( ( 1 - 13 T + 89 T^{2} )^{2} \))(\( ( 1 + 13 T + 89 T^{2} )^{2} \))(\( ( 1 + 12 T + 204 T^{2} + 1323 T^{3} + 18156 T^{4} + 95052 T^{5} + 704969 T^{6} )^{2} \))(\( ( 1 - 2 T + 116 T^{2} - 735 T^{3} + 10324 T^{4} - 15842 T^{5} + 704969 T^{6} )^{2} \))(\( ( 1 + 28 T + 680 T^{2} + 10388 T^{3} + 140263 T^{4} + 1402827 T^{5} + 12483407 T^{6} + 82283348 T^{7} + 479378920 T^{8} + 1756782748 T^{9} + 5584059449 T^{10} )^{2} \))(\( ( 1 - 28 T + 680 T^{2} - 10388 T^{3} + 140263 T^{4} - 1402827 T^{5} + 12483407 T^{6} - 82283348 T^{7} + 479378920 T^{8} - 1756782748 T^{9} + 5584059449 T^{10} )^{2} \))(\( ( 1 + 288 T^{2} + 36990 T^{4} + 3427693 T^{6} + 292997790 T^{8} + 18069765408 T^{10} + 496981290961 T^{12} )^{2} \))(\( 1 + 13 T + 80 T^{2} + 1157 T^{3} + 7921 T^{4} \))(\( 1 - 12 T - 60 T^{2} + 198 T^{3} + 7584 T^{4} + 70800 T^{5} - 1684181 T^{6} + 6301200 T^{7} + 60072864 T^{8} + 139583862 T^{9} - 3764534460 T^{10} - 67008713388 T^{11} + 496981290961 T^{12} \))(\( 1 + 12 T - 60 T^{2} - 198 T^{3} + 7584 T^{4} - 70800 T^{5} - 1684181 T^{6} - 6301200 T^{7} + 60072864 T^{8} - 139583862 T^{9} - 3764534460 T^{10} + 67008713388 T^{11} + 496981290961 T^{12} \))(\( 1 + 2 T - 112 T^{2} - 1238 T^{3} + 1662 T^{4} + 59806 T^{5} + 720895 T^{6} + 5322734 T^{7} + 13164702 T^{8} - 872751622 T^{9} - 7027130992 T^{10} + 11168118898 T^{11} + 496981290961 T^{12} \))(\( 1 - 2 T - 112 T^{2} + 1238 T^{3} + 1662 T^{4} - 59806 T^{5} + 720895 T^{6} - 5322734 T^{7} + 13164702 T^{8} + 872751622 T^{9} - 7027130992 T^{10} - 11168118898 T^{11} + 496981290961 T^{12} \))(\( 1 + 28 T + 104 T^{2} - 1736 T^{3} + 31273 T^{4} + 611939 T^{5} - 1780638 T^{6} - 18973932 T^{7} + 740914101 T^{8} + 3271180573 T^{9} - 40614588329 T^{10} + 291135070997 T^{11} + 5868780594021 T^{12} - 13376033868108 T^{13} - 111721218529758 T^{14} + 3417103755161611 T^{15} + 15542095912223353 T^{16} - 76785597378638344 T^{17} + 409405235793016424 T^{18} + 9809979303809585852 T^{19} + 31181719929966183601 T^{20} \))(\( 1 - 288 T^{2} + 45954 T^{4} - 3797734 T^{6} + 88086726 T^{8} + 23906597562 T^{10} - 3299038805433 T^{12} + 189364159288602 T^{14} + 5526758591592966 T^{16} - 1887402746046482374 T^{18} + \)\(18\!\cdots\!74\)\( T^{20} - \)\(89\!\cdots\!88\)\( T^{22} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 + 13 T + 80 T^{2} + 1157 T^{3} + 7921 T^{4} \))(\( 1 + 2 T - 112 T^{2} - 1238 T^{3} + 1662 T^{4} + 59806 T^{5} + 720895 T^{6} + 5322734 T^{7} + 13164702 T^{8} - 872751622 T^{9} - 7027130992 T^{10} + 11168118898 T^{11} + 496981290961 T^{12} \))(\( 1 - 2 T - 112 T^{2} + 1238 T^{3} + 1662 T^{4} - 59806 T^{5} + 720895 T^{6} - 5322734 T^{7} + 13164702 T^{8} + 872751622 T^{9} - 7027130992 T^{10} - 11168118898 T^{11} + 496981290961 T^{12} \))(\( 1 + 12 T - 60 T^{2} - 198 T^{3} + 7584 T^{4} - 70800 T^{5} - 1684181 T^{6} - 6301200 T^{7} + 60072864 T^{8} - 139583862 T^{9} - 3764534460 T^{10} + 67008713388 T^{11} + 496981290961 T^{12} \))(\( 1 - 12 T - 60 T^{2} + 198 T^{3} + 7584 T^{4} + 70800 T^{5} - 1684181 T^{6} + 6301200 T^{7} + 60072864 T^{8} + 139583862 T^{9} - 3764534460 T^{10} - 67008713388 T^{11} + 496981290961 T^{12} \))(\( 1 + 28 T + 104 T^{2} - 1736 T^{3} + 31273 T^{4} + 611939 T^{5} - 1780638 T^{6} - 18973932 T^{7} + 740914101 T^{8} + 3271180573 T^{9} - 40614588329 T^{10} + 291135070997 T^{11} + 5868780594021 T^{12} - 13376033868108 T^{13} - 111721218529758 T^{14} + 3417103755161611 T^{15} + 15542095912223353 T^{16} - 76785597378638344 T^{17} + 409405235793016424 T^{18} + 9809979303809585852 T^{19} + 31181719929966183601 T^{20} \))(\( 1 - 288 T^{2} + 45954 T^{4} - 3797734 T^{6} + 88086726 T^{8} + 23906597562 T^{10} - 3299038805433 T^{12} + 189364159288602 T^{14} + 5526758591592966 T^{16} - 1887402746046482374 T^{18} + \)\(18\!\cdots\!74\)\( T^{20} - \)\(89\!\cdots\!88\)\( T^{22} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 - 3 T - 80 T^{2} - 267 T^{3} + 7921 T^{4} \))(\( 1 - 24 T + 44 T^{2} + 2592 T^{3} - 1287 T^{4} - 278721 T^{5} - 235110 T^{6} + 13705920 T^{7} + 186157425 T^{8} - 904992183 T^{9} - 14602879521 T^{10} - 80544304287 T^{11} + 1474552963425 T^{12} + 9662248716480 T^{13} - 14751328281510 T^{14} - 1556394633684729 T^{15} - 639614921466807 T^{16} + 114647620049211168 T^{17} + 173209907450891564 T^{18} - 8408553688979645016 T^{19} + 31181719929966183601 T^{20} \))(\( 1 - 210 T^{2} + 12198 T^{4} - 238954 T^{6} + 86692932 T^{8} - 10094552136 T^{10} + 599935426827 T^{12} - 79958947469256 T^{14} + 5439308832540612 T^{16} - 118755667400294794 T^{18} + 48018510251953984038 T^{20} - \)\(65\!\cdots\!10\)\( T^{22} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( ( 1 - 3 T + 89 T^{2} )^{2} \))(\( ( 1 + 3 T + 89 T^{2} )^{2} \))(\( ( 1 + 24 T + 532 T^{2} + 7680 T^{3} + 99991 T^{4} + 992529 T^{5} + 8899199 T^{6} + 60833280 T^{7} + 375043508 T^{8} + 1505813784 T^{9} + 5584059449 T^{10} )^{2} \))(\( ( 1 - 24 T + 532 T^{2} - 7680 T^{3} + 99991 T^{4} - 992529 T^{5} + 8899199 T^{6} - 60833280 T^{7} + 375043508 T^{8} - 1505813784 T^{9} + 5584059449 T^{10} )^{2} \))(\( 1 - 154 T^{2} + 15795 T^{4} - 1219834 T^{6} + 62742241 T^{8} \))(\( ( 1 - 89 T^{2} + 7921 T^{4} )^{4} \))(\( ( 1 - 192 T^{2} + 13728 T^{4} - 1400448 T^{6} + 180532511 T^{8} - 11092948608 T^{10} + 861325484448 T^{12} - 95420407864512 T^{14} + 3936588805702081 T^{16} )^{2} \))(\( 1 + 3 T - 80 T^{2} + 267 T^{3} + 7921 T^{4} \))(\( 1 + 24 T + 44 T^{2} - 2592 T^{3} - 1287 T^{4} + 278721 T^{5} - 235110 T^{6} - 13705920 T^{7} + 186157425 T^{8} + 904992183 T^{9} - 14602879521 T^{10} + 80544304287 T^{11} + 1474552963425 T^{12} - 9662248716480 T^{13} - 14751328281510 T^{14} + 1556394633684729 T^{15} - 639614921466807 T^{16} - 114647620049211168 T^{17} + 173209907450891564 T^{18} + 8408553688979645016 T^{19} + 31181719929966183601 T^{20} \))(\( 1 - 210 T^{2} + 12198 T^{4} - 238954 T^{6} + 86692932 T^{8} - 10094552136 T^{10} + 599935426827 T^{12} - 79958947469256 T^{14} + 5439308832540612 T^{16} - 118755667400294794 T^{18} + 48018510251953984038 T^{20} - \)\(65\!\cdots\!10\)\( T^{22} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 + 13 T + 192 T^{2} + 2018 T^{3} + 26268 T^{4} + 269759 T^{5} + 3321179 T^{6} + 24008551 T^{7} + 208068828 T^{8} + 1422627442 T^{9} + 12046510272 T^{10} + 72592772837 T^{11} + 496981290961 T^{12} \))(\( 1 - 14 T - 108 T^{2} + 343 T^{3} + 21712 T^{4} + 241381 T^{5} - 2769868 T^{6} - 37209816 T^{7} - 31055819 T^{8} + 3858106259 T^{9} + 34438376829 T^{10} - 162131963175 T^{11} - 4244781250857 T^{12} - 14429744722575 T^{13} + 272786382862509 T^{14} + 2719845311300971 T^{15} - 1948511680150379 T^{16} - 207781824630351384 T^{17} - 1376572574431563148 T^{18} + 10676603848417685549 T^{19} + 85471216149403582672 T^{20} + \)\(12\!\cdots\!87\)\( T^{21} - \)\(33\!\cdots\!08\)\( T^{22} - \)\(38\!\cdots\!46\)\( T^{23} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 + 89 T^{2} - 704969 T^{6} - 62742241 T^{8} + 496981290961 T^{12} - 3936588805702081 T^{16} - 350356403707485209 T^{18} + \)\(27\!\cdots\!89\)\( T^{22} + \)\(24\!\cdots\!21\)\( T^{24} \))
$97$ (\( 1 - 6 T + 97 T^{2} \))(\( 1 + 6 T + 97 T^{2} \))(\( 1 + 97 T^{2} \))(\( 1 - 14 T + 97 T^{2} \))(\( 1 + 14 T + 97 T^{2} \))(\( 1 + 18 T + 97 T^{2} \))(\( ( 1 + 14 T + 97 T^{2} )^{2} \))(\( ( 1 + 97 T^{2} )^{2} \))(\( 1 - 8 T + 208 T^{2} - 776 T^{3} + 9409 T^{4} \))(\( 1 + 8 T + 208 T^{2} + 776 T^{3} + 9409 T^{4} \))(\( ( 1 - 86 T^{2} + 9409 T^{4} )^{2} \))(\( ( 1 - 336 T^{2} + 46464 T^{4} - 3161424 T^{6} + 88529281 T^{8} )^{2} \))(\( ( 1 - 18 T + 97 T^{2} )^{2} \))(\( ( 1 + 18 T + 97 T^{2} )^{2} \))(\( ( 1 + 14 T + 97 T^{2} )^{2} \))(\( ( 1 + 97 T^{2} )^{2} \))(\( ( 1 - 6 T + 97 T^{2} )^{2} \))(\( ( 1 + 8 T + 208 T^{2} + 776 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 - 8 T + 208 T^{2} - 776 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 + 97 T^{2} )^{4} \))(\( ( 1 + 14 T + 97 T^{2} )^{4} \))(\( ( 1 - 14 T + 97 T^{2} )^{4} \))(\( 1 + 9 T - 16 T^{2} + 873 T^{3} + 9409 T^{4} \))(\( 1 - 9 T - 16 T^{2} - 873 T^{3} + 9409 T^{4} \))(\( 1 + 3 T - 114 T^{2} - 149 T^{3} + 2421 T^{4} - 11502 T^{5} + 340233 T^{6} - 1115694 T^{7} + 22779189 T^{8} - 135988277 T^{9} - 10092338034 T^{10} + 25762020771 T^{11} + 832972004929 T^{12} \))(\( 1 - 3 T - 168 T^{2} - 573 T^{3} + 14223 T^{4} + 78504 T^{5} - 1297807 T^{6} + 7614888 T^{7} + 133824207 T^{8} - 522961629 T^{9} - 14872919208 T^{10} - 25762020771 T^{11} + 832972004929 T^{12} \))(\( 1 + 12 T - 197 T^{2} - 1534 T^{3} + 27813 T^{4} + 14090 T^{5} - 4545035 T^{6} - 6881349 T^{7} + 472663750 T^{8} + 908843245 T^{9} - 38512186359 T^{10} + 88157794765 T^{11} + 4447293223750 T^{12} - 6280421435877 T^{13} - 402368680669835 T^{14} + 120995624221130 T^{15} + 23167450373090277 T^{16} - 123944568389425342 T^{17} - 1543974418092261317 T^{18} + 9122772703854782604 T^{19} + 73742412689492826049 T^{20} \))(\( 1 - 12 T - 197 T^{2} + 1534 T^{3} + 27813 T^{4} - 14090 T^{5} - 4545035 T^{6} + 6881349 T^{7} + 472663750 T^{8} - 908843245 T^{9} - 38512186359 T^{10} - 88157794765 T^{11} + 4447293223750 T^{12} + 6280421435877 T^{13} - 402368680669835 T^{14} - 120995624221130 T^{15} + 23167450373090277 T^{16} + 123944568389425342 T^{17} - 1543974418092261317 T^{18} - 9122772703854782604 T^{19} + 73742412689492826049 T^{20} \))(\( 1 - 471 T^{2} + 121776 T^{4} - 22400861 T^{6} + 3247635573 T^{8} - 392084795286 T^{10} + 40704346255641 T^{12} - 3689125838845974 T^{14} + 287510842227713013 T^{16} - 18659290099305843869 T^{18} + \)\(95\!\cdots\!36\)\( T^{20} - \)\(34\!\cdots\!79\)\( T^{22} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 + 9 T - 16 T^{2} + 873 T^{3} + 9409 T^{4} \))(\( 1 + 3 T - 114 T^{2} - 149 T^{3} + 2421 T^{4} - 11502 T^{5} + 340233 T^{6} - 1115694 T^{7} + 22779189 T^{8} - 135988277 T^{9} - 10092338034 T^{10} + 25762020771 T^{11} + 832972004929 T^{12} \))(\( 1 - 3 T - 114 T^{2} + 149 T^{3} + 2421 T^{4} + 11502 T^{5} + 340233 T^{6} + 1115694 T^{7} + 22779189 T^{8} + 135988277 T^{9} - 10092338034 T^{10} - 25762020771 T^{11} + 832972004929 T^{12} \))(\( 1 - 3 T - 168 T^{2} - 573 T^{3} + 14223 T^{4} + 78504 T^{5} - 1297807 T^{6} + 7614888 T^{7} + 133824207 T^{8} - 522961629 T^{9} - 14872919208 T^{10} - 25762020771 T^{11} + 832972004929 T^{12} \))(\( 1 + 3 T - 168 T^{2} + 573 T^{3} + 14223 T^{4} - 78504 T^{5} - 1297807 T^{6} - 7614888 T^{7} + 133824207 T^{8} + 522961629 T^{9} - 14872919208 T^{10} + 25762020771 T^{11} + 832972004929 T^{12} \))(\( 1 - 12 T - 197 T^{2} + 1534 T^{3} + 27813 T^{4} - 14090 T^{5} - 4545035 T^{6} + 6881349 T^{7} + 472663750 T^{8} - 908843245 T^{9} - 38512186359 T^{10} - 88157794765 T^{11} + 4447293223750 T^{12} + 6280421435877 T^{13} - 402368680669835 T^{14} - 120995624221130 T^{15} + 23167450373090277 T^{16} + 123944568389425342 T^{17} - 1543974418092261317 T^{18} - 9122772703854782604 T^{19} + 73742412689492826049 T^{20} \))(\( 1 - 471 T^{2} + 121776 T^{4} - 22400861 T^{6} + 3247635573 T^{8} - 392084795286 T^{10} + 40704346255641 T^{12} - 3689125838845974 T^{14} + 287510842227713013 T^{16} - 18659290099305843869 T^{18} + \)\(95\!\cdots\!36\)\( T^{20} - \)\(34\!\cdots\!79\)\( T^{22} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 + 9 T - 16 T^{2} + 873 T^{3} + 9409 T^{4} \))(\( 1 - 3 T - 168 T^{2} - 573 T^{3} + 14223 T^{4} + 78504 T^{5} - 1297807 T^{6} + 7614888 T^{7} + 133824207 T^{8} - 522961629 T^{9} - 14872919208 T^{10} - 25762020771 T^{11} + 832972004929 T^{12} \))(\( 1 + 3 T - 168 T^{2} + 573 T^{3} + 14223 T^{4} - 78504 T^{5} - 1297807 T^{6} - 7614888 T^{7} + 133824207 T^{8} + 522961629 T^{9} - 14872919208 T^{10} + 25762020771 T^{11} + 832972004929 T^{12} \))(\( 1 - 3 T - 114 T^{2} + 149 T^{3} + 2421 T^{4} + 11502 T^{5} + 340233 T^{6} + 1115694 T^{7} + 22779189 T^{8} + 135988277 T^{9} - 10092338034 T^{10} - 25762020771 T^{11} + 832972004929 T^{12} \))(\( 1 + 3 T - 114 T^{2} - 149 T^{3} + 2421 T^{4} - 11502 T^{5} + 340233 T^{6} - 1115694 T^{7} + 22779189 T^{8} - 135988277 T^{9} - 10092338034 T^{10} + 25762020771 T^{11} + 832972004929 T^{12} \))(\( 1 - 12 T - 197 T^{2} + 1534 T^{3} + 27813 T^{4} - 14090 T^{5} - 4545035 T^{6} + 6881349 T^{7} + 472663750 T^{8} - 908843245 T^{9} - 38512186359 T^{10} - 88157794765 T^{11} + 4447293223750 T^{12} + 6280421435877 T^{13} - 402368680669835 T^{14} - 120995624221130 T^{15} + 23167450373090277 T^{16} + 123944568389425342 T^{17} - 1543974418092261317 T^{18} - 9122772703854782604 T^{19} + 73742412689492826049 T^{20} \))(\( 1 - 471 T^{2} + 121776 T^{4} - 22400861 T^{6} + 3247635573 T^{8} - 392084795286 T^{10} + 40704346255641 T^{12} - 3689125838845974 T^{14} + 287510842227713013 T^{16} - 18659290099305843869 T^{18} + \)\(95\!\cdots\!36\)\( T^{20} - \)\(34\!\cdots\!79\)\( T^{22} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 + 3 T + 100 T^{2} + 291 T^{3} + 9409 T^{4} \))(\( 1 - 6 T + 311 T^{2} - 1794 T^{3} + 51903 T^{4} - 385032 T^{5} + 6010353 T^{6} - 63309837 T^{7} + 574248354 T^{8} - 8264282925 T^{9} + 54719955099 T^{10} - 801635443725 T^{11} + 5403102762786 T^{12} - 57781178864301 T^{13} + 532092229646193 T^{14} - 3306400793833224 T^{15} + 43233745971829887 T^{16} - 144952122353734722 T^{17} + 2437441847851234871 T^{18} - 4561386351927391302 T^{19} + 73742412689492826049 T^{20} \))(\( 1 + 513 T^{2} + 147894 T^{4} + 30072485 T^{6} + 4748892315 T^{8} + 607745530428 T^{10} + 64510991774769 T^{12} + 5718277695797052 T^{14} + 420416022193375515 T^{16} + 25049538123647278565 T^{18} + \)\(11\!\cdots\!34\)\( T^{20} + \)\(37\!\cdots\!37\)\( T^{22} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 - 3 T + 100 T^{2} - 291 T^{3} + 9409 T^{4} \))(\( 1 + 3 T + 100 T^{2} + 291 T^{3} + 9409 T^{4} \))(\( 1 - 6 T + 311 T^{2} - 1794 T^{3} + 51903 T^{4} - 385032 T^{5} + 6010353 T^{6} - 63309837 T^{7} + 574248354 T^{8} - 8264282925 T^{9} + 54719955099 T^{10} - 801635443725 T^{11} + 5403102762786 T^{12} - 57781178864301 T^{13} + 532092229646193 T^{14} - 3306400793833224 T^{15} + 43233745971829887 T^{16} - 144952122353734722 T^{17} + 2437441847851234871 T^{18} - 4561386351927391302 T^{19} + 73742412689492826049 T^{20} \))(\( 1 + 6 T + 311 T^{2} + 1794 T^{3} + 51903 T^{4} + 385032 T^{5} + 6010353 T^{6} + 63309837 T^{7} + 574248354 T^{8} + 8264282925 T^{9} + 54719955099 T^{10} + 801635443725 T^{11} + 5403102762786 T^{12} + 57781178864301 T^{13} + 532092229646193 T^{14} + 3306400793833224 T^{15} + 43233745971829887 T^{16} + 144952122353734722 T^{17} + 2437441847851234871 T^{18} + 4561386351927391302 T^{19} + 73742412689492826049 T^{20} \))(\( ( 1 - 86 T^{2} + 9409 T^{4} )^{2} \))(\( ( 1 - 97 T^{2} )^{8} \))(\( ( 1 - 336 T^{2} + 46464 T^{4} - 3161424 T^{6} + 88529281 T^{8} )^{4} \))(\( 1 - 3 T + 100 T^{2} - 291 T^{3} + 9409 T^{4} \))(\( 1 + 6 T + 311 T^{2} + 1794 T^{3} + 51903 T^{4} + 385032 T^{5} + 6010353 T^{6} + 63309837 T^{7} + 574248354 T^{8} + 8264282925 T^{9} + 54719955099 T^{10} + 801635443725 T^{11} + 5403102762786 T^{12} + 57781178864301 T^{13} + 532092229646193 T^{14} + 3306400793833224 T^{15} + 43233745971829887 T^{16} + 144952122353734722 T^{17} + 2437441847851234871 T^{18} + 4561386351927391302 T^{19} + 73742412689492826049 T^{20} \))(\( 1 + 513 T^{2} + 147894 T^{4} + 30072485 T^{6} + 4748892315 T^{8} + 607745530428 T^{10} + 64510991774769 T^{12} + 5718277695797052 T^{14} + 420416022193375515 T^{16} + 25049538123647278565 T^{18} + \)\(11\!\cdots\!34\)\( T^{20} + \)\(37\!\cdots\!37\)\( T^{22} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( ( 1 + 284 T^{2} - 7 T^{3} + 27548 T^{4} + 912673 T^{6} )^{2} \))(\( ( 1 + 14 T + 554 T^{2} + 5824 T^{3} + 128360 T^{4} + 1046052 T^{5} + 16320585 T^{6} + 101467044 T^{7} + 1207739240 T^{8} + 5315407552 T^{9} + 49045221674 T^{10} + 120222763598 T^{11} + 832972004929 T^{12} )^{2} \))(\( ( 1 + 14 T + 99 T^{2} + 28 T^{3} - 9211 T^{4} - 131670 T^{5} - 949913 T^{6} - 12771990 T^{7} - 86666299 T^{8} + 25554844 T^{9} + 8764398819 T^{10} + 120222763598 T^{11} + 832972004929 T^{12} )^{2} \))
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