Properties

Label 462.2
Level 462
Weight 2
Dimension 1353
Nonzero newspaces 16
Newform subspaces 61
Sturm bound 23040
Trace bound 4

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Defining parameters

Level: \( N \) = \( 462\( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \) \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 16 \)
Newform subspaces: \( 61 \)
Sturm bound: \(23040\)
Trace bound: \(4\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(462))\).

Total New Old
Modular forms 6240 1353 4887
Cusp forms 5281 1353 3928
Eisenstein series 959 0 959

Trace form

\( 1353q - 3q^{2} + q^{3} + 5q^{4} + 6q^{5} + 19q^{6} + 37q^{7} - 3q^{8} + 53q^{9} + O(q^{10}) \) \( 1353q - 3q^{2} + q^{3} + 5q^{4} + 6q^{5} + 19q^{6} + 37q^{7} - 3q^{8} + 53q^{9} + 46q^{10} + 41q^{11} + 21q^{12} + 30q^{13} + 5q^{14} + 42q^{15} - 3q^{16} + 50q^{17} - 17q^{18} + 32q^{19} - 18q^{20} - 15q^{21} - 23q^{22} - 8q^{23} - 25q^{24} + 35q^{25} - 18q^{26} - 59q^{27} + 9q^{28} - 2q^{29} - 54q^{30} + 24q^{31} - 3q^{32} - 89q^{33} - 6q^{34} + 26q^{35} + 3q^{36} - 2q^{37} + 12q^{38} - 6q^{39} + 6q^{40} + 10q^{41} + 35q^{42} + 148q^{43} + 41q^{44} + 6q^{45} + 104q^{46} + 88q^{47} + q^{48} + 117q^{49} + 83q^{50} + 32q^{51} + 22q^{52} + 30q^{53} - 19q^{54} + 98q^{55} + 9q^{56} + 6q^{57} + 46q^{58} + 36q^{59} - 2q^{60} - 26q^{61} - 48q^{62} - 217q^{63} + 5q^{64} - 204q^{65} - 143q^{66} - 196q^{67} - 70q^{68} - 264q^{69} - 370q^{70} - 392q^{71} - 59q^{72} - 318q^{73} - 202q^{74} - 407q^{75} - 108q^{76} - 267q^{77} - 154q^{78} - 240q^{79} - 74q^{80} - 291q^{81} - 202q^{82} - 252q^{83} - 83q^{84} - 300q^{85} - 252q^{86} - 270q^{87} - 91q^{88} - 198q^{89} - 254q^{90} - 386q^{91} - 24q^{92} - 160q^{93} - 200q^{94} - 144q^{95} - 15q^{96} - 34q^{97} - 51q^{98} - 83q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(462))\)

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
462.2.a \(\chi_{462}(1, \cdot)\) 462.2.a.a 1 1
462.2.a.b 1
462.2.a.c 1
462.2.a.d 1
462.2.a.e 1
462.2.a.f 1
462.2.a.g 1
462.2.a.h 2
462.2.c \(\chi_{462}(197, \cdot)\) 462.2.c.a 12 1
462.2.c.b 12
462.2.e \(\chi_{462}(307, \cdot)\) 462.2.e.a 8 1
462.2.e.b 8
462.2.g \(\chi_{462}(419, \cdot)\) 462.2.g.a 4 1
462.2.g.b 4
462.2.g.c 4
462.2.g.d 4
462.2.g.e 8
462.2.i \(\chi_{462}(67, \cdot)\) 462.2.i.a 2 2
462.2.i.b 2
462.2.i.c 2
462.2.i.d 2
462.2.i.e 4
462.2.i.f 6
462.2.i.g 6
462.2.j \(\chi_{462}(169, \cdot)\) 462.2.j.a 4 4
462.2.j.b 4
462.2.j.c 4
462.2.j.d 4
462.2.j.e 8
462.2.j.f 8
462.2.j.g 8
462.2.j.h 8
462.2.k \(\chi_{462}(89, \cdot)\) 462.2.k.a 4 2
462.2.k.b 4
462.2.k.c 4
462.2.k.d 8
462.2.k.e 8
462.2.k.f 8
462.2.k.g 20
462.2.n \(\chi_{462}(65, \cdot)\) 462.2.n.a 4 2
462.2.n.b 4
462.2.n.c 4
462.2.n.d 4
462.2.n.e 24
462.2.n.f 24
462.2.p \(\chi_{462}(241, \cdot)\) 462.2.p.a 16 2
462.2.p.b 16
462.2.s \(\chi_{462}(125, \cdot)\) 462.2.s.a 128 4
462.2.u \(\chi_{462}(13, \cdot)\) 462.2.u.a 32 4
462.2.u.b 32
462.2.w \(\chi_{462}(29, \cdot)\) 462.2.w.a 48 4
462.2.w.b 48
462.2.y \(\chi_{462}(25, \cdot)\) 462.2.y.a 24 8
462.2.y.b 24
462.2.y.c 40
462.2.y.d 40
462.2.ba \(\chi_{462}(19, \cdot)\) 462.2.ba.a 64 8
462.2.ba.b 64
462.2.bc \(\chi_{462}(95, \cdot)\) 462.2.bc.a 128 8
462.2.bc.b 128
462.2.bf \(\chi_{462}(5, \cdot)\) 462.2.bf.a 256 8

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(462))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(462)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(11))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(14))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(21))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(22))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(33))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(42))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(66))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(77))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(154))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(231))\)\(^{\oplus 2}\)

Hecke characteristic polynomials

$p$ $F_p(T)$
$2$ (\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{12} \))(\( ( 1 - T )^{12} \))(\( ( 1 + T^{2} )^{4} \))(\( ( 1 + T^{2} )^{4} \))(\( ( 1 + T^{2} )^{2} \))(\( ( 1 + T^{2} )^{2} \))(\( ( 1 + T^{2} )^{2} \))(\( ( 1 + T^{2} )^{2} \))(\( ( 1 + T^{2} )^{4} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( ( 1 - T + T^{2} )^{2} \))(\( ( 1 + T + T^{2} )^{3} \))(\( ( 1 + T + T^{2} )^{3} \))(\( 1 + T + T^{2} + T^{3} + T^{4} \))(\( 1 + T + T^{2} + T^{3} + T^{4} \))(\( 1 - T + T^{2} - T^{3} + T^{4} \))(\( 1 - T + T^{2} - T^{3} + T^{4} \))(\( ( 1 + T + T^{2} + T^{3} + T^{4} )^{2} \))(\( ( 1 + T + T^{2} + T^{3} + T^{4} )^{2} \))(\( ( 1 - T + T^{2} - T^{3} + T^{4} )^{2} \))(\( ( 1 - T + T^{2} - T^{3} + T^{4} )^{2} \))(\( 1 - T^{2} + T^{4} \))(\( 1 - T^{2} + T^{4} \))(\( 1 - T^{2} + T^{4} \))(\( ( 1 - T^{2} + T^{4} )^{2} \))(\( ( 1 - T^{2} + T^{4} )^{2} \))(\( ( 1 - T^{2} + T^{4} )^{2} \))(\( ( 1 - T^{2} + T^{4} )^{5} \))(\( ( 1 + T + T^{2} )^{2} \))(\( ( 1 + T + T^{2} )^{2} \))(\( ( 1 - T + T^{2} )^{2} \))(\( ( 1 - T + T^{2} )^{2} \))(\( ( 1 - T^{2} + T^{4} )^{4} \))(\( ( 1 - T^{2} + T^{4} )^{4} \))
$3$ (\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( ( 1 - T )^{2} \))(\( 1 - 4 T + 8 T^{2} - 8 T^{3} - T^{4} + 12 T^{5} - 24 T^{6} + 36 T^{7} - 9 T^{8} - 216 T^{9} + 648 T^{10} - 972 T^{11} + 729 T^{12} \))(\( 1 - 4 T + 8 T^{2} - 8 T^{3} - T^{4} + 12 T^{5} - 24 T^{6} + 36 T^{7} - 9 T^{8} - 216 T^{9} + 648 T^{10} - 972 T^{11} + 729 T^{12} \))(\( ( 1 + T^{2} )^{4} \))(\( ( 1 + T^{2} )^{4} \))(\( 1 + 2 T + 2 T^{2} + 6 T^{3} + 9 T^{4} \))(\( 1 + 9 T^{4} \))(\( ( 1 - 3 T^{2} )^{2} \))(\( 1 - 2 T + 2 T^{2} - 6 T^{3} + 9 T^{4} \))(\( 1 + 2 T^{2} + 2 T^{4} + 18 T^{6} + 81 T^{8} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 - T + T^{2} \))(\( ( 1 - T + T^{2} )^{2} \))(\( ( 1 + T + T^{2} )^{3} \))(\( ( 1 - T + T^{2} )^{3} \))(\( 1 + T + T^{2} + T^{3} + T^{4} \))(\( 1 - T + T^{2} - T^{3} + T^{4} \))(\( 1 + T + T^{2} + T^{3} + T^{4} \))(\( 1 - T + T^{2} - T^{3} + T^{4} \))(\( ( 1 + T + T^{2} + T^{3} + T^{4} )^{2} \))(\( ( 1 - T + T^{2} - T^{3} + T^{4} )^{2} \))(\( ( 1 + T + T^{2} + T^{3} + T^{4} )^{2} \))(\( ( 1 - T + T^{2} - T^{3} + T^{4} )^{2} \))(\( 1 + 3 T^{2} + 9 T^{4} \))(\( 1 + 3 T^{2} + 9 T^{4} \))(\( ( 1 - 3 T + 3 T^{2} )^{2} \))(\( ( 1 + 3 T + 3 T^{2} )^{4} \))(\( 1 - 4 T + 8 T^{2} - 8 T^{3} + 7 T^{4} - 24 T^{5} + 72 T^{6} - 108 T^{7} + 81 T^{8} \))(\( ( 1 - 4 T + 8 T^{2} - 12 T^{3} + 9 T^{4} )^{2} \))(\( 1 + 6 T + 19 T^{2} + 42 T^{3} + 62 T^{4} + 42 T^{5} - 25 T^{6} - 6 T^{7} + 445 T^{8} + 1764 T^{9} + 3864 T^{10} + 5292 T^{11} + 4005 T^{12} - 162 T^{13} - 2025 T^{14} + 10206 T^{15} + 45198 T^{16} + 91854 T^{17} + 124659 T^{18} + 118098 T^{19} + 59049 T^{20} \))(\( ( 1 + 3 T + 3 T^{2} )^{2} \))(\( ( 1 - 3 T + 3 T^{2} )^{2} \))(\( ( 1 + 3 T + 3 T^{2} )^{2} \))(\( ( 1 - 3 T + 3 T^{2} )^{2} \))(\( ( 1 - T^{2} + T^{4} )^{4} \))(\( ( 1 - T^{2} + T^{4} )^{4} \))
$5$ (\( 1 + 2 T + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 - 2 T + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 + 4 T + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 - 2 T + 5 T^{2} \))(\( 1 - 2 T^{2} + 25 T^{4} \))(\( 1 - 16 T^{2} + 130 T^{4} - 960 T^{6} + 6959 T^{8} - 41008 T^{10} + 208444 T^{12} - 1025200 T^{14} + 4349375 T^{16} - 15000000 T^{18} + 50781250 T^{20} - 156250000 T^{22} + 244140625 T^{24} \))(\( 1 - 16 T^{2} + 130 T^{4} - 960 T^{6} + 6959 T^{8} - 41008 T^{10} + 208444 T^{12} - 1025200 T^{14} + 4349375 T^{16} - 15000000 T^{18} + 50781250 T^{20} - 156250000 T^{22} + 244140625 T^{24} \))(\( 1 - 12 T^{2} + 60 T^{4} - 260 T^{6} + 1366 T^{8} - 6500 T^{10} + 37500 T^{12} - 187500 T^{14} + 390625 T^{16} \))(\( 1 - 12 T^{2} + 60 T^{4} - 260 T^{6} + 1366 T^{8} - 6500 T^{10} + 37500 T^{12} - 187500 T^{14} + 390625 T^{16} \))(\( ( 1 + 2 T + 6 T^{2} + 10 T^{3} + 25 T^{4} )^{2} \))(\( ( 1 + 4 T^{2} + 25 T^{4} )^{2} \))(\( ( 1 + 5 T^{2} )^{4} \))(\( ( 1 - 2 T + 6 T^{2} - 10 T^{3} + 25 T^{4} )^{2} \))(\( ( 1 + 6 T^{2} + 42 T^{4} + 150 T^{6} + 625 T^{8} )^{2} \))(\( 1 + 3 T + 4 T^{2} + 15 T^{3} + 25 T^{4} \))(\( 1 - 5 T^{2} + 25 T^{4} \))(\( 1 - 3 T + 4 T^{2} - 15 T^{3} + 25 T^{4} \))(\( 1 - 5 T^{2} + 25 T^{4} \))(\( 1 - 3 T^{2} - 16 T^{4} - 75 T^{6} + 625 T^{8} \))(\( 1 - 6 T^{2} + 8 T^{3} + 6 T^{4} - 24 T^{5} + 86 T^{6} - 120 T^{7} + 150 T^{8} + 1000 T^{9} - 3750 T^{10} + 15625 T^{12} \))(\( ( 1 - 20 T^{3} + 125 T^{6} )^{2} \))(\( 1 - 3 T - T^{2} + 3 T^{3} + 16 T^{4} + 15 T^{5} - 25 T^{6} - 375 T^{7} + 625 T^{8} \))(\( 1 + T + T^{2} + 11 T^{3} + 36 T^{4} + 55 T^{5} + 25 T^{6} + 125 T^{7} + 625 T^{8} \))(\( ( 1 - 5 T^{2} )^{2}( 1 - 5 T + 15 T^{2} - 25 T^{3} + 25 T^{4} ) \))(\( 1 + 3 T - T^{2} - 3 T^{3} + 16 T^{4} - 15 T^{5} - 25 T^{6} + 375 T^{7} + 625 T^{8} \))(\( 1 - 4 T + T^{2} + 6 T^{3} + T^{4} - 10 T^{5} + 235 T^{6} - 400 T^{7} - 300 T^{8} - 2000 T^{9} + 5875 T^{10} - 1250 T^{11} + 625 T^{12} + 18750 T^{13} + 15625 T^{14} - 312500 T^{15} + 390625 T^{16} \))(\( 1 + 6 T + 17 T^{2} + 28 T^{3} + 35 T^{4} + 32 T^{5} - 133 T^{6} - 906 T^{7} - 2704 T^{8} - 4530 T^{9} - 3325 T^{10} + 4000 T^{11} + 21875 T^{12} + 87500 T^{13} + 265625 T^{14} + 468750 T^{15} + 390625 T^{16} \))(\( 1 - 13 T^{2} + 39 T^{4} + 313 T^{6} - 3064 T^{8} + 7825 T^{10} + 24375 T^{12} - 203125 T^{14} + 390625 T^{16} \))(\( 1 + 2 T - T^{2} - 2 T^{3} + T^{4} + 130 T^{5} + 285 T^{6} - 50 T^{7} - 300 T^{8} - 250 T^{9} + 7125 T^{10} + 16250 T^{11} + 625 T^{12} - 6250 T^{13} - 15625 T^{14} + 156250 T^{15} + 390625 T^{16} \))(\( 1 + 2 T^{2} - 21 T^{4} + 50 T^{6} + 625 T^{8} \))(\( 1 + 2 T^{2} - 21 T^{4} + 50 T^{6} + 625 T^{8} \))(\( 1 - 7 T^{2} + 24 T^{4} - 175 T^{6} + 625 T^{8} \))(\( ( 1 - 2 T^{2} + 25 T^{4} )^{2}( 1 + 2 T^{2} - 21 T^{4} + 50 T^{6} + 625 T^{8} ) \))(\( 1 + 4 T - 6 T^{2} - 24 T^{3} + 92 T^{4} + 168 T^{5} - 580 T^{6} - 212 T^{7} + 3819 T^{8} - 1060 T^{9} - 14500 T^{10} + 21000 T^{11} + 57500 T^{12} - 75000 T^{13} - 93750 T^{14} + 312500 T^{15} + 390625 T^{16} \))(\( 1 - 4 T - 6 T^{2} + 24 T^{3} + 92 T^{4} - 168 T^{5} - 580 T^{6} + 212 T^{7} + 3819 T^{8} + 1060 T^{9} - 14500 T^{10} - 21000 T^{11} + 57500 T^{12} + 75000 T^{13} - 93750 T^{14} - 312500 T^{15} + 390625 T^{16} \))(\( 1 - 19 T^{2} + 192 T^{4} - 931 T^{6} - 613 T^{8} + 49994 T^{10} - 409248 T^{12} + 1645154 T^{14} + 267001 T^{16} - 49627917 T^{18} + 356517984 T^{20} - 1240697925 T^{22} + 166875625 T^{24} + 25705531250 T^{26} - 159862500000 T^{28} + 488222656250 T^{30} - 149658203125 T^{32} - 5682373046875 T^{34} + 29296875000000 T^{36} - 72479248046875 T^{38} + 95367431640625 T^{40} \))(\( ( 1 - T + 5 T^{2} )^{2}( 1 - T - 4 T^{2} - 5 T^{3} + 25 T^{4} ) \))(\( ( 1 + T + 5 T^{2} )^{2}( 1 + T - 4 T^{2} + 5 T^{3} + 25 T^{4} ) \))(\( ( 1 - T + 5 T^{2} )^{2}( 1 - T - 4 T^{2} - 5 T^{3} + 25 T^{4} ) \))(\( ( 1 + T + 5 T^{2} )^{2}( 1 + T - 4 T^{2} + 5 T^{3} + 25 T^{4} ) \))(\( 1 - 12 T + 87 T^{2} - 468 T^{3} + 2046 T^{4} - 7608 T^{5} + 24941 T^{6} - 74172 T^{7} + 205763 T^{8} - 546324 T^{9} + 1417364 T^{10} - 3630492 T^{11} + 9187996 T^{12} - 22829256 T^{13} + 55306820 T^{14} - 129962868 T^{15} + 295561964 T^{16} - 649814340 T^{17} + 1382670500 T^{18} - 2853657000 T^{19} + 5742497500 T^{20} - 11345287500 T^{21} + 22146312500 T^{22} - 42681562500 T^{23} + 80376171875 T^{24} - 144867187500 T^{25} + 243564453125 T^{26} - 371484375000 T^{27} + 499511718750 T^{28} - 571289062500 T^{29} + 531005859375 T^{30} - 366210937500 T^{31} + 152587890625 T^{32} \))(\( 1 - 12 T + 87 T^{2} - 468 T^{3} + 2046 T^{4} - 7608 T^{5} + 24941 T^{6} - 74172 T^{7} + 205763 T^{8} - 546324 T^{9} + 1417364 T^{10} - 3630492 T^{11} + 9187996 T^{12} - 22829256 T^{13} + 55306820 T^{14} - 129962868 T^{15} + 295561964 T^{16} - 649814340 T^{17} + 1382670500 T^{18} - 2853657000 T^{19} + 5742497500 T^{20} - 11345287500 T^{21} + 22146312500 T^{22} - 42681562500 T^{23} + 80376171875 T^{24} - 144867187500 T^{25} + 243564453125 T^{26} - 371484375000 T^{27} + 499511718750 T^{28} - 571289062500 T^{29} + 531005859375 T^{30} - 366210937500 T^{31} + 152587890625 T^{32} \))
$7$ (\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( ( 1 - T )^{2} \))(\( ( 1 + T^{2} )^{6} \))(\( ( 1 + T^{2} )^{6} \))(\( 1 + 6 T^{2} - 16 T^{3} + 50 T^{4} - 112 T^{5} + 294 T^{6} + 2401 T^{8} \))(\( 1 + 6 T^{2} + 16 T^{3} + 50 T^{4} + 112 T^{5} + 294 T^{6} + 2401 T^{8} \))(\( 1 - 6 T + 18 T^{2} - 42 T^{3} + 49 T^{4} \))(\( ( 1 + 2 T + 7 T^{2} )^{2} \))(\( ( 1 - 4 T + 7 T^{2} )^{2} \))(\( 1 - 6 T + 18 T^{2} - 42 T^{3} + 49 T^{4} \))(\( ( 1 + 2 T - 2 T^{2} + 14 T^{3} + 49 T^{4} )^{2} \))(\( 1 + 5 T + 7 T^{2} \))(\( 1 + 4 T + 7 T^{2} \))(\( 1 - 5 T + 7 T^{2} \))(\( 1 - 4 T + 7 T^{2} \))(\( 1 + 7 T^{2} + 49 T^{4} \))(\( 1 + 12 T^{2} - 4 T^{3} + 84 T^{4} + 343 T^{6} \))(\( 1 + 6 T^{2} - 20 T^{3} + 42 T^{4} + 343 T^{6} \))(\( 1 - T + T^{2} - T^{3} + T^{4} \))(\( 1 + T + T^{2} + T^{3} + T^{4} \))(\( 1 - T + T^{2} - T^{3} + T^{4} \))(\( 1 + T + T^{2} + T^{3} + T^{4} \))(\( ( 1 + T + T^{2} + T^{3} + T^{4} )^{2} \))(\( ( 1 - T + T^{2} - T^{3} + T^{4} )^{2} \))(\( ( 1 + T + T^{2} + T^{3} + T^{4} )^{2} \))(\( ( 1 - T + T^{2} - T^{3} + T^{4} )^{2} \))(\( ( 1 - 4 T + 7 T^{2} )^{2} \))(\( ( 1 - 4 T + 7 T^{2} )^{2} \))(\( ( 1 - T + 7 T^{2} )^{2} \))(\( ( 1 - 2 T - 3 T^{2} - 14 T^{3} + 49 T^{4} )^{2} \))(\( 1 + 71 T^{4} + 2401 T^{8} \))(\( 1 + 71 T^{4} + 2401 T^{8} \))(\( ( 1 + 3 T + 15 T^{2} + 60 T^{3} + 159 T^{4} + 521 T^{5} + 1113 T^{6} + 2940 T^{7} + 5145 T^{8} + 7203 T^{9} + 16807 T^{10} )^{2} \))(\( 1 - 3 T + 2 T^{2} - 21 T^{3} + 49 T^{4} \))(\( 1 + 3 T + 2 T^{2} + 21 T^{3} + 49 T^{4} \))(\( 1 + 3 T + 2 T^{2} + 21 T^{3} + 49 T^{4} \))(\( 1 - 3 T + 2 T^{2} - 21 T^{3} + 49 T^{4} \))(\( 1 + 6 T + 21 T^{2} + 10 T^{3} - 137 T^{4} - 548 T^{5} - 284 T^{6} + 4016 T^{7} + 16958 T^{8} + 28112 T^{9} - 13916 T^{10} - 187964 T^{11} - 328937 T^{12} + 168070 T^{13} + 2470629 T^{14} + 4941258 T^{15} + 5764801 T^{16} \))(\( 1 - 6 T + 21 T^{2} - 10 T^{3} - 137 T^{4} + 548 T^{5} - 284 T^{6} - 4016 T^{7} + 16958 T^{8} - 28112 T^{9} - 13916 T^{10} + 187964 T^{11} - 328937 T^{12} - 168070 T^{13} + 2470629 T^{14} - 4941258 T^{15} + 5764801 T^{16} \))
$11$ (\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( ( 1 - T )^{2} \))(\( 1 + 8 T + 54 T^{2} + 296 T^{3} + 1383 T^{4} + 5632 T^{5} + 19316 T^{6} + 61952 T^{7} + 167343 T^{8} + 393976 T^{9} + 790614 T^{10} + 1288408 T^{11} + 1771561 T^{12} \))(\( 1 - 8 T + 54 T^{2} - 296 T^{3} + 1383 T^{4} - 5632 T^{5} + 19316 T^{6} - 61952 T^{7} + 167343 T^{8} - 393976 T^{9} + 790614 T^{10} - 1288408 T^{11} + 1771561 T^{12} \))(\( 1 + 8 T + 40 T^{2} + 168 T^{3} + 606 T^{4} + 1848 T^{5} + 4840 T^{6} + 10648 T^{7} + 14641 T^{8} \))(\( 1 + 8 T + 40 T^{2} + 168 T^{3} + 606 T^{4} + 1848 T^{5} + 4840 T^{6} + 10648 T^{7} + 14641 T^{8} \))(\( ( 1 + T^{2} )^{2} \))(\( ( 1 + T^{2} )^{2} \))(\( ( 1 + T^{2} )^{2} \))(\( ( 1 + T^{2} )^{2} \))(\( ( 1 + T^{2} )^{4} \))(\( 1 - T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( ( 1 + T + T^{2} )^{2} \))(\( ( 1 + T + T^{2} )^{3} \))(\( ( 1 - T + T^{2} )^{3} \))(\( 1 + T - 9 T^{2} + 11 T^{3} + 121 T^{4} \))(\( 1 - T - 9 T^{2} - 11 T^{3} + 121 T^{4} \))(\( 1 - T + 21 T^{2} - 11 T^{3} + 121 T^{4} \))(\( 1 + T + 21 T^{2} + 11 T^{3} + 121 T^{4} \))(\( 1 - 29 T^{2} + 451 T^{4} - 3509 T^{6} + 14641 T^{8} \))(\( 1 - 14 T + 105 T^{2} - 536 T^{3} + 2039 T^{4} - 5896 T^{5} + 12705 T^{6} - 18634 T^{7} + 14641 T^{8} \))(\( 1 - 8 T + 13 T^{2} + 74 T^{3} - 435 T^{4} + 814 T^{5} + 1573 T^{6} - 10648 T^{7} + 14641 T^{8} \))(\( 1 - 10 T + 51 T^{2} - 190 T^{3} + 641 T^{4} - 2090 T^{5} + 6171 T^{6} - 13310 T^{7} + 14641 T^{8} \))(\( 1 - T^{2} + T^{4} \))(\( 1 - T^{2} + T^{4} \))(\( 1 - T^{2} + T^{4} \))(\( ( 1 - T^{2} + T^{4} )^{2} \))(\( ( 1 - T^{2} + T^{4} )^{2} \))(\( ( 1 - T^{2} + T^{4} )^{2} \))(\( ( 1 - T^{2} + T^{4} )^{5} \))(\( ( 1 - 5 T + 11 T^{2} )^{2} \))(\( 1 + 5 T + 14 T^{2} + 55 T^{3} + 121 T^{4} \))(\( 1 - 5 T + 14 T^{2} - 55 T^{3} + 121 T^{4} \))(\( ( 1 + 5 T + 11 T^{2} )^{2} \))(\( 1 + 4 T + 24 T^{2} + 112 T^{3} + 274 T^{4} + 1572 T^{5} + 5408 T^{6} + 18012 T^{7} + 86915 T^{8} + 198132 T^{9} + 654368 T^{10} + 2092332 T^{11} + 4011634 T^{12} + 18037712 T^{13} + 42517464 T^{14} + 77948684 T^{15} + 214358881 T^{16} \))(\( 1 + 4 T - 9 T^{2} - 20 T^{3} + 421 T^{4} + 960 T^{5} - 2794 T^{6} + 2664 T^{7} + 71702 T^{8} + 29304 T^{9} - 338074 T^{10} + 1277760 T^{11} + 6163861 T^{12} - 3221020 T^{13} - 15944049 T^{14} + 77948684 T^{15} + 214358881 T^{16} \))
$13$ (\( 1 - 2 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 - 6 T + 13 T^{2} \))(\( 1 + 6 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( ( 1 - 2 T + 13 T^{2} )^{2} \))(\( 1 - 96 T^{2} + 4462 T^{4} - 136032 T^{6} + 3086607 T^{8} - 55261760 T^{10} + 798013540 T^{12} - 9339237440 T^{14} + 88156582527 T^{16} - 656600481888 T^{18} + 3639790477102 T^{20} - 13234415217504 T^{22} + 23298085122481 T^{24} \))(\( 1 - 96 T^{2} + 4462 T^{4} - 136032 T^{6} + 3086607 T^{8} - 55261760 T^{10} + 798013540 T^{12} - 9339237440 T^{14} + 88156582527 T^{16} - 656600481888 T^{18} + 3639790477102 T^{20} - 13234415217504 T^{22} + 23298085122481 T^{24} \))(\( ( 1 + 26 T^{2} + 56 T^{3} + 322 T^{4} + 728 T^{5} + 4394 T^{6} + 28561 T^{8} )^{2} \))(\( ( 1 + 26 T^{2} - 56 T^{3} + 322 T^{4} - 728 T^{5} + 4394 T^{6} + 28561 T^{8} )^{2} \))(\( ( 1 - 4 T + 13 T^{2} )^{2}( 1 + 4 T + 13 T^{2} )^{2} \))(\( ( 1 - 20 T^{2} + 169 T^{4} )^{2} \))(\( ( 1 - 13 T^{2} )^{4} \))(\( ( 1 - 4 T + 13 T^{2} )^{2}( 1 + 4 T + 13 T^{2} )^{2} \))(\( ( 1 - 6 T^{2} + 330 T^{4} - 1014 T^{6} + 28561 T^{8} )^{2} \))(\( ( 1 - 6 T + 13 T^{2} )^{2} \))(\( ( 1 + 4 T + 13 T^{2} )^{2} \))(\( ( 1 - 2 T + 13 T^{2} )^{2} \))(\( ( 1 - 4 T + 13 T^{2} )^{2} \))(\( ( 1 + 4 T + 13 T^{2} )^{4} \))(\( ( 1 + 3 T^{2} + 32 T^{3} + 39 T^{4} + 2197 T^{6} )^{2} \))(\( ( 1 + 13 T^{2} )^{6} \))(\( 1 + 8 T + 51 T^{2} + 244 T^{3} + 1049 T^{4} + 3172 T^{5} + 8619 T^{6} + 17576 T^{7} + 28561 T^{8} \))(\( 1 + 4 T + 3 T^{2} + 50 T^{3} + 341 T^{4} + 650 T^{5} + 507 T^{6} + 8788 T^{7} + 28561 T^{8} \))(\( 1 + 6 T + 3 T^{2} - 10 T^{3} + 81 T^{4} - 130 T^{5} + 507 T^{6} + 13182 T^{7} + 28561 T^{8} \))(\( 1 + 2 T - 9 T^{2} - 44 T^{3} + 29 T^{4} - 572 T^{5} - 1521 T^{6} + 4394 T^{7} + 28561 T^{8} \))(\( 1 - 4 T - 8 T^{2} + 6 T^{3} + 347 T^{4} - 376 T^{5} - 3724 T^{6} + 2372 T^{7} + 42877 T^{8} + 30836 T^{9} - 629356 T^{10} - 826072 T^{11} + 9910667 T^{12} + 2227758 T^{13} - 38614472 T^{14} - 250994068 T^{15} + 815730721 T^{16} \))(\( 1 - 8 T + 12 T^{2} - 4 T^{3} + 231 T^{4} - 1408 T^{5} + 8220 T^{6} - 18872 T^{7} - 1951 T^{8} - 245336 T^{9} + 1389180 T^{10} - 3093376 T^{11} + 6597591 T^{12} - 1485172 T^{13} + 57921708 T^{14} - 501988136 T^{15} + 815730721 T^{16} \))(\( 1 - 6 T + 16 T^{2} - 54 T^{3} + 303 T^{4} - 1626 T^{5} + 5204 T^{6} - 13212 T^{7} + 50813 T^{8} - 171756 T^{9} + 879476 T^{10} - 3572322 T^{11} + 8653983 T^{12} - 20049822 T^{13} + 77228944 T^{14} - 376491102 T^{15} + 815730721 T^{16} \))(\( 1 - 10 T + 48 T^{2} - 200 T^{3} + 855 T^{4} - 4010 T^{5} + 18228 T^{6} - 68320 T^{7} + 239849 T^{8} - 888160 T^{9} + 3080532 T^{10} - 8809970 T^{11} + 24419655 T^{12} - 74258600 T^{13} + 231686832 T^{14} - 627485170 T^{15} + 815730721 T^{16} \))(\( ( 1 - 14 T^{2} + 169 T^{4} )^{2} \))(\( ( 1 - 14 T^{2} + 169 T^{4} )^{2} \))(\( ( 1 - 13 T^{2} )^{4} \))(\( ( 1 - 14 T^{2} + 169 T^{4} )^{4} \))(\( ( 1 - 22 T^{2} + 243 T^{4} - 3718 T^{6} + 28561 T^{8} )^{2} \))(\( ( 1 - 22 T^{2} + 243 T^{4} - 3718 T^{6} + 28561 T^{8} )^{2} \))(\( ( 1 - 62 T^{2} + 2227 T^{4} - 55704 T^{6} + 1047485 T^{8} - 15383710 T^{10} + 177024965 T^{12} - 1590961944 T^{14} + 10749303643 T^{16} - 50575304702 T^{18} + 137858491849 T^{20} )^{2} \))(\( 1 - 8 T^{2} + 126 T^{4} - 1352 T^{6} + 28561 T^{8} \))(\( 1 - 8 T^{2} + 126 T^{4} - 1352 T^{6} + 28561 T^{8} \))(\( 1 - 8 T^{2} + 126 T^{4} - 1352 T^{6} + 28561 T^{8} \))(\( 1 - 8 T^{2} + 126 T^{4} - 1352 T^{6} + 28561 T^{8} \))(\( ( 1 + 40 T^{2} - 8 T^{3} + 576 T^{4} + 648 T^{5} + 3672 T^{6} + 30816 T^{7} + 19294 T^{8} + 400608 T^{9} + 620568 T^{10} + 1423656 T^{11} + 16451136 T^{12} - 2970344 T^{13} + 193072360 T^{14} + 815730721 T^{16} )^{2} \))(\( ( 1 + 40 T^{2} + 8 T^{3} + 576 T^{4} - 648 T^{5} + 3672 T^{6} - 30816 T^{7} + 19294 T^{8} - 400608 T^{9} + 620568 T^{10} - 1423656 T^{11} + 16451136 T^{12} + 2970344 T^{13} + 193072360 T^{14} + 815730721 T^{16} )^{2} \))
$17$ (\( 1 + 6 T + 17 T^{2} \))(\( 1 + 4 T + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 - 4 T + 17 T^{2} \))(\( 1 + 4 T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 + 22 T^{2} + 289 T^{4} \))(\( ( 1 + 2 T + 52 T^{2} + 106 T^{3} + 1283 T^{4} + 2844 T^{5} + 23208 T^{6} + 48348 T^{7} + 370787 T^{8} + 520778 T^{9} + 4343092 T^{10} + 2839714 T^{11} + 24137569 T^{12} )^{2} \))(\( ( 1 - 2 T + 52 T^{2} - 106 T^{3} + 1283 T^{4} - 2844 T^{5} + 23208 T^{6} - 48348 T^{7} + 370787 T^{8} - 520778 T^{9} + 4343092 T^{10} - 2839714 T^{11} + 24137569 T^{12} )^{2} \))(\( ( 1 + 6 T + 58 T^{2} + 226 T^{3} + 1370 T^{4} + 3842 T^{5} + 16762 T^{6} + 29478 T^{7} + 83521 T^{8} )^{2} \))(\( ( 1 - 6 T + 58 T^{2} - 226 T^{3} + 1370 T^{4} - 3842 T^{5} + 16762 T^{6} - 29478 T^{7} + 83521 T^{8} )^{2} \))(\( ( 1 - 10 T + 54 T^{2} - 170 T^{3} + 289 T^{4} )^{2} \))(\( ( 1 + 17 T^{2} )^{4} \))(\( ( 1 + 22 T^{2} + 289 T^{4} )^{2} \))(\( ( 1 + 10 T + 54 T^{2} + 170 T^{3} + 289 T^{4} )^{2} \))(\( ( 1 + 40 T^{2} + 910 T^{4} + 11560 T^{6} + 83521 T^{8} )^{2} \))(\( 1 - 5 T + 8 T^{2} - 85 T^{3} + 289 T^{4} \))(\( 1 + 3 T - 8 T^{2} + 51 T^{3} + 289 T^{4} \))(\( 1 + 3 T - 8 T^{2} + 51 T^{3} + 289 T^{4} \))(\( 1 - T - 16 T^{2} - 17 T^{3} + 289 T^{4} \))(\( ( 1 - 3 T - 8 T^{2} - 51 T^{3} + 289 T^{4} )^{2} \))(\( ( 1 + T - 16 T^{2} + 17 T^{3} + 289 T^{4} )^{3} \))(\( 1 + 3 T + 15 T^{2} + 56 T^{3} + 249 T^{4} + 1701 T^{5} + 7982 T^{6} + 28917 T^{7} + 71961 T^{8} + 275128 T^{9} + 1252815 T^{10} + 4259571 T^{11} + 24137569 T^{12} \))(\( 1 - 12 T + 37 T^{2} + 180 T^{3} - 1619 T^{4} + 3060 T^{5} + 10693 T^{6} - 58956 T^{7} + 83521 T^{8} \))(\( 1 - 4 T - 11 T^{2} + 52 T^{3} + 69 T^{4} + 884 T^{5} - 3179 T^{6} - 19652 T^{7} + 83521 T^{8} \))(\( 1 + 4 T + 29 T^{2} + 148 T^{3} + 389 T^{4} + 2516 T^{5} + 8381 T^{6} + 19652 T^{7} + 83521 T^{8} \))(\( 1 + 4 T - 11 T^{2} - 52 T^{3} + 69 T^{4} - 884 T^{5} - 3179 T^{6} + 19652 T^{7} + 83521 T^{8} \))(\( 1 + 8 T + 70 T^{2} + 464 T^{3} + 2871 T^{4} + 14952 T^{5} + 77316 T^{6} + 346600 T^{7} + 1499829 T^{8} + 5892200 T^{9} + 22344324 T^{10} + 73459176 T^{11} + 239788791 T^{12} + 658813648 T^{13} + 1689629830 T^{14} + 3282709384 T^{15} + 6975757441 T^{16} \))(\( 1 + 4 T + 18 T^{2} - 12 T^{3} - 69 T^{4} - 1836 T^{5} - 780 T^{6} - 1856 T^{7} + 99429 T^{8} - 31552 T^{9} - 225420 T^{10} - 9020268 T^{11} - 5762949 T^{12} - 17038284 T^{13} + 434476242 T^{14} + 1641354692 T^{15} + 6975757441 T^{16} \))(\( 1 - 2 T^{2} - 105 T^{4} - 1680 T^{5} + 4268 T^{6} + 19080 T^{7} + 19229 T^{8} + 324360 T^{9} + 1233452 T^{10} - 8253840 T^{11} - 8769705 T^{12} - 48275138 T^{14} + 6975757441 T^{16} \))(\( ( 1 + 6 T + 19 T^{2} + 132 T^{3} + 829 T^{4} + 2244 T^{5} + 5491 T^{6} + 29478 T^{7} + 83521 T^{8} )^{2} \))(\( 1 - 31 T^{2} + 672 T^{4} - 8959 T^{6} + 83521 T^{8} \))(\( 1 - 7 T^{2} - 240 T^{4} - 2023 T^{6} + 83521 T^{8} \))(\( 1 - 31 T^{2} + 672 T^{4} - 8959 T^{6} + 83521 T^{8} \))(\( 1 - 14 T^{2} - 143 T^{4} + 3346 T^{6} - 25244 T^{8} + 966994 T^{10} - 11943503 T^{12} - 337925966 T^{14} + 6975757441 T^{16} \))(\( 1 - 20 T + 192 T^{2} - 1320 T^{3} + 7994 T^{4} - 44700 T^{5} + 224864 T^{6} - 1013660 T^{7} + 4261683 T^{8} - 17232220 T^{9} + 64985696 T^{10} - 219611100 T^{11} + 667666874 T^{12} - 1874211240 T^{13} + 4634413248 T^{14} - 8206773460 T^{15} + 6975757441 T^{16} \))(\( 1 + 20 T + 192 T^{2} + 1320 T^{3} + 7994 T^{4} + 44700 T^{5} + 224864 T^{6} + 1013660 T^{7} + 4261683 T^{8} + 17232220 T^{9} + 64985696 T^{10} + 219611100 T^{11} + 667666874 T^{12} + 1874211240 T^{13} + 4634413248 T^{14} + 8206773460 T^{15} + 6975757441 T^{16} \))(\( 1 - 111 T^{2} + 6420 T^{4} - 254715 T^{6} + 7690347 T^{8} - 183628642 T^{10} + 3496830180 T^{12} - 52376343078 T^{14} + 592010599101 T^{16} - 4802750928237 T^{18} + 43780635109536 T^{20} - 1387995018260493 T^{22} + 49445317247514621 T^{24} - 1264237595012897382 T^{26} + 24393039148048369380 T^{28} - \)\(37\!\cdots\!58\)\( T^{30} + \)\(44\!\cdots\!67\)\( T^{32} - \)\(42\!\cdots\!35\)\( T^{34} + \)\(31\!\cdots\!20\)\( T^{36} - \)\(15\!\cdots\!99\)\( T^{38} + \)\(40\!\cdots\!01\)\( T^{40} \))(\( 1 + T - 19 T^{2} - 14 T^{3} + 94 T^{4} - 238 T^{5} - 5491 T^{6} + 4913 T^{7} + 83521 T^{8} \))(\( 1 + T - 19 T^{2} - 14 T^{3} + 94 T^{4} - 238 T^{5} - 5491 T^{6} + 4913 T^{7} + 83521 T^{8} \))(\( 1 - T - 19 T^{2} + 14 T^{3} + 94 T^{4} + 238 T^{5} - 5491 T^{6} - 4913 T^{7} + 83521 T^{8} \))(\( 1 - T - 19 T^{2} + 14 T^{3} + 94 T^{4} + 238 T^{5} - 5491 T^{6} - 4913 T^{7} + 83521 T^{8} \))(\( 1 - 83 T^{2} + 136 T^{3} + 3476 T^{4} - 9688 T^{5} - 88483 T^{6} + 330960 T^{7} + 1572689 T^{8} - 6175216 T^{9} - 26163616 T^{10} + 52036944 T^{11} + 628563790 T^{12} + 195542384 T^{13} - 16654549258 T^{14} - 4829420752 T^{15} + 337953189016 T^{16} - 82100152784 T^{17} - 4813164735562 T^{18} + 960699732592 T^{19} + 52498276304590 T^{20} + 73885019197008 T^{21} - 631526086489504 T^{22} - 2533929938928368 T^{23} + 10970696994128849 T^{24} + 39247843605447120 T^{25} - 178381188293428867 T^{26} - 332026131428348504 T^{27} + 2025194896610649236 T^{28} + 1347022612475207432 T^{29} - 13975359604430277107 T^{30} + 48661191875666868481 T^{32} \))(\( 1 - 83 T^{2} - 136 T^{3} + 3476 T^{4} + 9688 T^{5} - 88483 T^{6} - 330960 T^{7} + 1572689 T^{8} + 6175216 T^{9} - 26163616 T^{10} - 52036944 T^{11} + 628563790 T^{12} - 195542384 T^{13} - 16654549258 T^{14} + 4829420752 T^{15} + 337953189016 T^{16} + 82100152784 T^{17} - 4813164735562 T^{18} - 960699732592 T^{19} + 52498276304590 T^{20} - 73885019197008 T^{21} - 631526086489504 T^{22} + 2533929938928368 T^{23} + 10970696994128849 T^{24} - 39247843605447120 T^{25} - 178381188293428867 T^{26} + 332026131428348504 T^{27} + 2025194896610649236 T^{28} - 1347022612475207432 T^{29} - 13975359604430277107 T^{30} + 48661191875666868481 T^{32} \))
$19$ (\( 1 + 4 T + 19 T^{2} \))(\( 1 - 6 T + 19 T^{2} \))(\( 1 + 8 T + 19 T^{2} \))(\( 1 - 6 T + 19 T^{2} \))(\( 1 + 2 T + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 - 4 T + 30 T^{2} - 76 T^{3} + 361 T^{4} \))(\( 1 - 40 T^{2} + 1362 T^{4} - 36248 T^{6} + 893007 T^{8} - 21084416 T^{10} + 414930588 T^{12} - 7611474176 T^{14} + 116377565247 T^{16} - 1705319094488 T^{18} + 23131612861842 T^{20} - 245242650312040 T^{22} + 2213314919066161 T^{24} \))(\( 1 - 40 T^{2} + 1362 T^{4} - 36248 T^{6} + 893007 T^{8} - 21084416 T^{10} + 414930588 T^{12} - 7611474176 T^{14} + 116377565247 T^{16} - 1705319094488 T^{18} + 23131612861842 T^{20} - 245242650312040 T^{22} + 2213314919066161 T^{24} \))(\( ( 1 - 2 T + 18 T^{2} + 94 T^{3} - 78 T^{4} + 1786 T^{5} + 6498 T^{6} - 13718 T^{7} + 130321 T^{8} )^{2} \))(\( ( 1 + 2 T + 18 T^{2} - 94 T^{3} - 78 T^{4} - 1786 T^{5} + 6498 T^{6} + 13718 T^{7} + 130321 T^{8} )^{2} \))(\( ( 1 - 34 T^{2} + 361 T^{4} )^{2} \))(\( ( 1 + 16 T^{2} + 361 T^{4} )^{2} \))(\( ( 1 - 8 T + 19 T^{2} )^{2}( 1 + 8 T + 19 T^{2} )^{2} \))(\( ( 1 - 34 T^{2} + 361 T^{4} )^{2} \))(\( ( 1 - 2 T^{2} + 706 T^{4} - 722 T^{6} + 130321 T^{8} )^{2} \))(\( 1 + 6 T + 17 T^{2} + 114 T^{3} + 361 T^{4} \))(\( ( 1 - 8 T + 19 T^{2} )( 1 + 7 T + 19 T^{2} ) \))(\( 1 + 2 T - 15 T^{2} + 38 T^{3} + 361 T^{4} \))(\( 1 - 3 T - 10 T^{2} - 57 T^{3} + 361 T^{4} \))(\( ( 1 - 12 T + 67 T^{2} - 228 T^{3} + 361 T^{4} )( 1 + 12 T + 67 T^{2} + 228 T^{3} + 361 T^{4} ) \))(\( 1 - 3 T - 12 T^{2} + 237 T^{3} - 408 T^{4} - 1839 T^{5} + 24590 T^{6} - 34941 T^{7} - 147288 T^{8} + 1625583 T^{9} - 1563852 T^{10} - 7428297 T^{11} + 47045881 T^{12} \))(\( 1 - 9 T + 12 T^{2} + 7 T^{3} + 624 T^{4} - 1317 T^{5} - 7386 T^{6} - 25023 T^{7} + 225264 T^{8} + 48013 T^{9} + 1563852 T^{10} - 22284891 T^{11} + 47045881 T^{12} \))(\( 1 - 5 T - 9 T^{2} + 95 T^{3} - 184 T^{4} + 1805 T^{5} - 3249 T^{6} - 34295 T^{7} + 130321 T^{8} \))(\( 1 + 3 T + 35 T^{2} + 63 T^{3} + 784 T^{4} + 1197 T^{5} + 12635 T^{6} + 20577 T^{7} + 130321 T^{8} \))(\( 1 + 11 T + 77 T^{2} + 463 T^{3} + 2380 T^{4} + 8797 T^{5} + 27797 T^{6} + 75449 T^{7} + 130321 T^{8} \))(\( 1 - 9 T + 17 T^{2} + 3 T^{3} + 100 T^{4} + 57 T^{5} + 6137 T^{6} - 61731 T^{7} + 130321 T^{8} \))(\( 1 + 12 T + 31 T^{2} - 96 T^{3} - 95 T^{4} + 2512 T^{5} + 4105 T^{6} + 4940 T^{7} + 101276 T^{8} + 93860 T^{9} + 1481905 T^{10} + 17229808 T^{11} - 12380495 T^{12} - 237705504 T^{13} + 1458422311 T^{14} + 10726460868 T^{15} + 16983563041 T^{16} \))(\( 1 + 2 T - 15 T^{2} - 200 T^{3} - 195 T^{4} + 4576 T^{5} + 17367 T^{6} - 27790 T^{7} - 545500 T^{8} - 528010 T^{9} + 6269487 T^{10} + 31386784 T^{11} - 25412595 T^{12} - 495219800 T^{13} - 705688215 T^{14} + 1787743478 T^{15} + 16983563041 T^{16} \))(\( 1 + 4 T + T^{2} - 70 T^{3} - 577 T^{4} - 2630 T^{5} + 1679 T^{6} + 43964 T^{7} + 183568 T^{8} + 835316 T^{9} + 606119 T^{10} - 18039170 T^{11} - 75195217 T^{12} - 173326930 T^{13} + 47045881 T^{14} + 3575486956 T^{15} + 16983563041 T^{16} \))(\( 1 - 2 T - 41 T^{2} + 134 T^{3} + 347 T^{4} - 3802 T^{5} + 17273 T^{6} + 39214 T^{7} - 589544 T^{8} + 745066 T^{9} + 6235553 T^{10} - 26077918 T^{11} + 45221387 T^{12} + 331797266 T^{13} - 1928881121 T^{14} - 1787743478 T^{15} + 16983563041 T^{16} \))(\( ( 1 + 3 T + 22 T^{2} + 57 T^{3} + 361 T^{4} )^{2} \))(\( ( 1 + T + 19 T^{2} )^{2}( 1 + 8 T + 19 T^{2} )^{2} \))(\( ( 1 - 7 T + 19 T^{2} )^{2}( 1 + T + 19 T^{2} )^{2} \))(\( ( 1 + 12 T + 74 T^{2} + 312 T^{3} + 1227 T^{4} + 5928 T^{5} + 26714 T^{6} + 82308 T^{7} + 130321 T^{8} )^{2} \))(\( 1 + 12 T + 122 T^{2} + 888 T^{3} + 6076 T^{4} + 36960 T^{5} + 200540 T^{6} + 1000260 T^{7} + 4454155 T^{8} + 19004940 T^{9} + 72394940 T^{10} + 253508640 T^{11} + 791830396 T^{12} + 2198775912 T^{13} + 5739597482 T^{14} + 10726460868 T^{15} + 16983563041 T^{16} \))(\( 1 + 12 T + 122 T^{2} + 888 T^{3} + 6076 T^{4} + 36960 T^{5} + 200540 T^{6} + 1000260 T^{7} + 4454155 T^{8} + 19004940 T^{9} + 72394940 T^{10} + 253508640 T^{11} + 791830396 T^{12} + 2198775912 T^{13} + 5739597482 T^{14} + 10726460868 T^{15} + 16983563041 T^{16} \))(\( ( 1 - 18 T + 201 T^{2} - 1674 T^{3} + 11379 T^{4} - 69372 T^{5} + 391362 T^{6} - 2103984 T^{7} + 10730643 T^{8} - 51430302 T^{9} + 232025581 T^{10} - 977175738 T^{11} + 3873762123 T^{12} - 14431226256 T^{13} + 51002687202 T^{14} - 171771939828 T^{15} + 535335079899 T^{16} - 1496341291086 T^{17} + 3413696171241 T^{18} - 5808378560022 T^{19} + 6131066257801 T^{20} )^{2} \))(\( 1 - 15 T + 127 T^{2} - 780 T^{3} + 3768 T^{4} - 14820 T^{5} + 45847 T^{6} - 102885 T^{7} + 130321 T^{8} \))(\( 1 + 15 T + 127 T^{2} + 780 T^{3} + 3768 T^{4} + 14820 T^{5} + 45847 T^{6} + 102885 T^{7} + 130321 T^{8} \))(\( 1 + 15 T + 127 T^{2} + 780 T^{3} + 3768 T^{4} + 14820 T^{5} + 45847 T^{6} + 102885 T^{7} + 130321 T^{8} \))(\( 1 - 15 T + 127 T^{2} - 780 T^{3} + 3768 T^{4} - 14820 T^{5} + 45847 T^{6} - 102885 T^{7} + 130321 T^{8} \))(\( 1 + 10 T - 45 T^{2} - 610 T^{3} + 1855 T^{4} + 21532 T^{5} - 86816 T^{6} - 626624 T^{7} + 3146255 T^{8} + 14837722 T^{9} - 93351433 T^{10} - 281206598 T^{11} + 2391274762 T^{12} + 3888807102 T^{13} - 54784474877 T^{14} - 26032287962 T^{15} + 1117775138348 T^{16} - 494613471278 T^{17} - 19777195430597 T^{18} + 26673327912618 T^{19} + 311633318258602 T^{20} - 696295376101202 T^{21} - 4391800408097473 T^{22} + 13263020366938558 T^{23} + 53434620135561455 T^{24} - 202203855933068096 T^{25} - 532274648237251616 T^{26} + 2508268254596451508 T^{27} + 4105699174867728655 T^{28} - 25652319911976805990 T^{29} - 35955300860229785445 T^{30} + \)\(15\!\cdots\!90\)\( T^{31} + \)\(28\!\cdots\!81\)\( T^{32} \))(\( 1 - 10 T - 45 T^{2} + 610 T^{3} + 1855 T^{4} - 21532 T^{5} - 86816 T^{6} + 626624 T^{7} + 3146255 T^{8} - 14837722 T^{9} - 93351433 T^{10} + 281206598 T^{11} + 2391274762 T^{12} - 3888807102 T^{13} - 54784474877 T^{14} + 26032287962 T^{15} + 1117775138348 T^{16} + 494613471278 T^{17} - 19777195430597 T^{18} - 26673327912618 T^{19} + 311633318258602 T^{20} + 696295376101202 T^{21} - 4391800408097473 T^{22} - 13263020366938558 T^{23} + 53434620135561455 T^{24} + 202203855933068096 T^{25} - 532274648237251616 T^{26} - 2508268254596451508 T^{27} + 4105699174867728655 T^{28} + 25652319911976805990 T^{29} - 35955300860229785445 T^{30} - \)\(15\!\cdots\!90\)\( T^{31} + \)\(28\!\cdots\!81\)\( T^{32} \))
$23$ (\( 1 + 4 T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 + 8 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 - 2 T^{2} + 529 T^{4} \))(\( 1 - 156 T^{2} + 10594 T^{4} - 393068 T^{6} + 7766735 T^{8} - 45728184 T^{10} - 765959460 T^{12} - 24190209336 T^{14} + 2173450889135 T^{16} - 58188170817452 T^{18} + 829626578066914 T^{20} - 6462535749329244 T^{22} + 21914624432020321 T^{24} \))(\( 1 - 156 T^{2} + 10594 T^{4} - 393068 T^{6} + 7766735 T^{8} - 45728184 T^{10} - 765959460 T^{12} - 24190209336 T^{14} + 2173450889135 T^{16} - 58188170817452 T^{18} + 829626578066914 T^{20} - 6462535749329244 T^{22} + 21914624432020321 T^{24} \))(\( ( 1 + 4 T + 46 T^{2} - 12 T^{3} + 634 T^{4} - 276 T^{5} + 24334 T^{6} + 48668 T^{7} + 279841 T^{8} )^{2} \))(\( ( 1 + 4 T + 46 T^{2} - 12 T^{3} + 634 T^{4} - 276 T^{5} + 24334 T^{6} + 48668 T^{7} + 279841 T^{8} )^{2} \))(\( 1 - 80 T^{2} + 2638 T^{4} - 42320 T^{6} + 279841 T^{8} \))(\( ( 1 - 10 T^{2} + 529 T^{4} )^{2} \))(\( ( 1 - 10 T^{2} + 529 T^{4} )^{2} \))(\( 1 - 80 T^{2} + 2638 T^{4} - 42320 T^{6} + 279841 T^{8} \))(\( ( 1 - 10 T^{2} + 529 T^{4} )^{4} \))(\( 1 + 5 T + 2 T^{2} + 115 T^{3} + 529 T^{4} \))(\( 1 - 3 T - 14 T^{2} - 69 T^{3} + 529 T^{4} \))(\( 1 + 3 T - 14 T^{2} + 69 T^{3} + 529 T^{4} \))(\( 1 - T - 22 T^{2} - 23 T^{3} + 529 T^{4} \))(\( 1 - 39 T^{2} + 992 T^{4} - 20631 T^{6} + 279841 T^{8} \))(\( 1 + 9 T + 9 T^{2} - 138 T^{3} - 9 T^{4} + 3249 T^{5} + 16702 T^{6} + 74727 T^{7} - 4761 T^{8} - 1679046 T^{9} + 2518569 T^{10} + 57927087 T^{11} + 148035889 T^{12} \))(\( 1 + 3 T - 33 T^{2} + 28 T^{3} + 651 T^{4} - 2151 T^{5} - 18598 T^{6} - 49473 T^{7} + 344379 T^{8} + 340676 T^{9} - 9234753 T^{10} + 19309029 T^{11} + 148035889 T^{12} \))(\( ( 1 - 5 T + 51 T^{2} - 115 T^{3} + 529 T^{4} )^{2} \))(\( ( 1 - 9 T + 65 T^{2} - 207 T^{3} + 529 T^{4} )^{2} \))(\( ( 1 + 3 T - 13 T^{2} + 69 T^{3} + 529 T^{4} )^{2} \))(\( ( 1 + 3 T + 37 T^{2} + 69 T^{3} + 529 T^{4} )^{2} \))(\( ( 1 + 2 T + 83 T^{2} + 138 T^{3} + 2765 T^{4} + 3174 T^{5} + 43907 T^{6} + 24334 T^{7} + 279841 T^{8} )^{2} \))(\( ( 1 - 2 T + 41 T^{2} - 136 T^{3} + 1279 T^{4} - 3128 T^{5} + 21689 T^{6} - 24334 T^{7} + 279841 T^{8} )^{2} \))(\( ( 1 + 61 T^{2} - 90 T^{3} + 1677 T^{4} - 2070 T^{5} + 32269 T^{6} + 279841 T^{8} )^{2} \))(\( ( 1 + 35 T^{2} + 20 T^{3} + 683 T^{4} + 460 T^{5} + 18515 T^{6} + 279841 T^{8} )^{2} \))(\( 1 + 37 T^{2} + 840 T^{4} + 19573 T^{6} + 279841 T^{8} \))(\( 1 + 37 T^{2} + 840 T^{4} + 19573 T^{6} + 279841 T^{8} \))(\( 1 - 35 T^{2} + 696 T^{4} - 18515 T^{6} + 279841 T^{8} \))(\( 1 + 38 T^{2} + 673 T^{4} - 10906 T^{6} - 449276 T^{8} - 5769274 T^{10} + 188332993 T^{12} + 5625363782 T^{14} + 78310985281 T^{16} \))(\( 1 + 12 T + 146 T^{2} + 1176 T^{3} + 9420 T^{4} + 61200 T^{5} + 381100 T^{6} + 2045460 T^{7} + 10465211 T^{8} + 47045580 T^{9} + 201601900 T^{10} + 744620400 T^{11} + 2636102220 T^{12} + 7569139368 T^{13} + 21613239794 T^{14} + 40857905364 T^{15} + 78310985281 T^{16} \))(\( 1 - 12 T + 146 T^{2} - 1176 T^{3} + 9420 T^{4} - 61200 T^{5} + 381100 T^{6} - 2045460 T^{7} + 10465211 T^{8} - 47045580 T^{9} + 201601900 T^{10} - 744620400 T^{11} + 2636102220 T^{12} - 7569139368 T^{13} + 21613239794 T^{14} - 40857905364 T^{15} + 78310985281 T^{16} \))(\( 1 + 89 T^{2} + 3400 T^{4} + 61737 T^{6} + 42627 T^{8} - 30170334 T^{10} - 910332264 T^{12} - 9881110014 T^{14} + 193586725689 T^{16} + 10292859004079 T^{18} + 262519507734352 T^{20} + 5444922413157791 T^{22} + 54173502903535449 T^{24} - 1462758905229292446 T^{26} - 71289016526923406184 T^{28} - \)\(12\!\cdots\!66\)\( T^{30} + \)\(93\!\cdots\!67\)\( T^{32} + \)\(71\!\cdots\!33\)\( T^{34} + \)\(20\!\cdots\!00\)\( T^{36} + \)\(28\!\cdots\!41\)\( T^{38} + \)\(17\!\cdots\!01\)\( T^{40} \))(\( 1 - 3 T + 7 T^{2} - 12 T^{3} - 444 T^{4} - 276 T^{5} + 3703 T^{6} - 36501 T^{7} + 279841 T^{8} \))(\( 1 + 3 T + 7 T^{2} + 12 T^{3} - 444 T^{4} + 276 T^{5} + 3703 T^{6} + 36501 T^{7} + 279841 T^{8} \))(\( 1 - 3 T + 7 T^{2} - 12 T^{3} - 444 T^{4} - 276 T^{5} + 3703 T^{6} - 36501 T^{7} + 279841 T^{8} \))(\( 1 + 3 T + 7 T^{2} + 12 T^{3} - 444 T^{4} + 276 T^{5} + 3703 T^{6} + 36501 T^{7} + 279841 T^{8} \))(\( 1 + 4 T - 41 T^{2} - 20 T^{3} + 650 T^{4} - 4928 T^{5} + 6233 T^{6} + 71332 T^{7} - 513481 T^{8} + 890932 T^{9} - 5650452 T^{10} - 16186748 T^{11} + 272810192 T^{12} - 1729443936 T^{13} + 7244408264 T^{14} + 39032598852 T^{15} - 342082835708 T^{16} + 897749773596 T^{17} + 3832291971656 T^{18} - 21042144369312 T^{19} + 76343476939472 T^{20} - 104183462182564 T^{21} - 836469685071828 T^{22} + 3033467945146604 T^{23} - 40211203033073161 T^{24} + 128479821647478716 T^{25} + 258211444394674217 T^{26} - 4695446486999832256 T^{27} + 14244505880813208650 T^{28} - 10080727238729347660 T^{29} - \)\(47\!\cdots\!69\)\( T^{30} + \)\(10\!\cdots\!28\)\( T^{31} + \)\(61\!\cdots\!61\)\( T^{32} \))(\( 1 + 4 T - 41 T^{2} - 20 T^{3} + 650 T^{4} - 4928 T^{5} + 6233 T^{6} + 71332 T^{7} - 513481 T^{8} + 890932 T^{9} - 5650452 T^{10} - 16186748 T^{11} + 272810192 T^{12} - 1729443936 T^{13} + 7244408264 T^{14} + 39032598852 T^{15} - 342082835708 T^{16} + 897749773596 T^{17} + 3832291971656 T^{18} - 21042144369312 T^{19} + 76343476939472 T^{20} - 104183462182564 T^{21} - 836469685071828 T^{22} + 3033467945146604 T^{23} - 40211203033073161 T^{24} + 128479821647478716 T^{25} + 258211444394674217 T^{26} - 4695446486999832256 T^{27} + 14244505880813208650 T^{28} - 10080727238729347660 T^{29} - \)\(47\!\cdots\!69\)\( T^{30} + \)\(10\!\cdots\!28\)\( T^{31} + \)\(61\!\cdots\!61\)\( T^{32} \))
$29$ (\( 1 - 2 T + 29 T^{2} \))(\( 1 + 10 T + 29 T^{2} \))(\( 1 - 2 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( ( 1 + 6 T + 29 T^{2} )^{2} \))(\( ( 1 - 4 T + 90 T^{2} - 436 T^{3} + 3351 T^{4} - 21176 T^{5} + 91436 T^{6} - 614104 T^{7} + 2818191 T^{8} - 10633604 T^{9} + 63655290 T^{10} - 82044596 T^{11} + 594823321 T^{12} )^{2} \))(\( ( 1 + 4 T + 90 T^{2} + 436 T^{3} + 3351 T^{4} + 21176 T^{5} + 91436 T^{6} + 614104 T^{7} + 2818191 T^{8} + 10633604 T^{9} + 63655290 T^{10} + 82044596 T^{11} + 594823321 T^{12} )^{2} \))(\( 1 - 176 T^{2} + 14780 T^{4} - 766928 T^{6} + 26801446 T^{8} - 644986448 T^{10} + 10453613180 T^{12} - 104688904496 T^{14} + 500246412961 T^{16} \))(\( 1 - 176 T^{2} + 14780 T^{4} - 766928 T^{6} + 26801446 T^{8} - 644986448 T^{10} + 10453613180 T^{12} - 104688904496 T^{14} + 500246412961 T^{16} \))(\( 1 - 44 T^{2} + 886 T^{4} - 37004 T^{6} + 707281 T^{8} \))(\( ( 1 - 22 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 - 22 T^{2} + 841 T^{4} )^{2} \))(\( 1 - 44 T^{2} + 886 T^{4} - 37004 T^{6} + 707281 T^{8} \))(\( ( 1 - 54 T^{2} + 841 T^{4} )^{4} \))(\( ( 1 + 6 T + 29 T^{2} )^{2} \))(\( ( 1 + 9 T + 29 T^{2} )^{2} \))(\( ( 1 + 6 T + 29 T^{2} )^{2} \))(\( ( 1 + T + 29 T^{2} )^{2} \))(\( ( 1 - 2 T + 29 T^{2} )^{4} \))(\( ( 1 - 9 T + 87 T^{2} - 430 T^{3} + 2523 T^{4} - 7569 T^{5} + 24389 T^{6} )^{2} \))(\( ( 1 - 9 T + 39 T^{2} - 174 T^{3} + 1131 T^{4} - 7569 T^{5} + 24389 T^{6} )^{2} \))(\( 1 - 2 T + 35 T^{2} - 122 T^{3} + 689 T^{4} - 3538 T^{5} + 29435 T^{6} - 48778 T^{7} + 707281 T^{8} \))(\( 1 + 14 T + 47 T^{2} - 208 T^{3} - 2275 T^{4} - 6032 T^{5} + 39527 T^{6} + 341446 T^{7} + 707281 T^{8} \))(\( 1 - 4 T - 13 T^{2} - 82 T^{3} + 1205 T^{4} - 2378 T^{5} - 10933 T^{6} - 97556 T^{7} + 707281 T^{8} \))(\( 1 - 8 T + 35 T^{2} - 308 T^{3} + 2489 T^{4} - 8932 T^{5} + 29435 T^{6} - 195112 T^{7} + 707281 T^{8} \))(\( 1 + 4 T - 12 T^{2} - 334 T^{3} - 677 T^{4} + 4024 T^{5} + 31110 T^{6} + 4800 T^{7} - 490599 T^{8} + 139200 T^{9} + 26163510 T^{10} + 98141336 T^{11} - 478829237 T^{12} - 6850723766 T^{13} - 7137879852 T^{14} + 68999505236 T^{15} + 500246412961 T^{16} \))(\( 1 - 4 T + 44 T^{2} - 404 T^{3} + 1751 T^{4} - 19532 T^{5} + 105786 T^{6} - 476992 T^{7} + 3856797 T^{8} - 13832768 T^{9} + 88966026 T^{10} - 476365948 T^{11} + 1238449031 T^{12} - 8286504196 T^{13} + 26172226124 T^{14} - 68999505236 T^{15} + 500246412961 T^{16} \))(\( 1 - 2 T - 40 T^{2} + 360 T^{3} - 185 T^{4} - 17346 T^{5} + 75842 T^{6} + 243760 T^{7} - 3491915 T^{8} + 7069040 T^{9} + 63783122 T^{10} - 423051594 T^{11} - 130846985 T^{12} + 7384013640 T^{13} - 23792932840 T^{14} - 34499752618 T^{15} + 500246412961 T^{16} \))(\( 1 + 2 T - 84 T^{2} - 286 T^{3} + 1695 T^{4} + 14702 T^{5} + 77190 T^{6} - 234280 T^{7} - 4617879 T^{8} - 6794120 T^{9} + 64916790 T^{10} + 358567078 T^{11} + 1198841295 T^{12} - 5866188614 T^{13} - 49965158964 T^{14} + 34499752618 T^{15} + 500246412961 T^{16} \))(\( ( 1 - 49 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 + 23 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 - 29 T^{2} )^{4} \))(\( ( 1 + 14 T^{2} + 841 T^{4} )^{4} \))(\( 1 - 124 T^{2} + 8538 T^{4} - 392240 T^{6} + 13210403 T^{8} - 329873840 T^{10} + 6038765178 T^{12} - 73758091804 T^{14} + 500246412961 T^{16} \))(\( 1 - 124 T^{2} + 8538 T^{4} - 392240 T^{6} + 13210403 T^{8} - 329873840 T^{10} + 6038765178 T^{12} - 73758091804 T^{14} + 500246412961 T^{16} \))(\( ( 1 - 94 T^{2} + 7091 T^{4} - 347992 T^{6} + 14421373 T^{8} - 452173374 T^{10} + 12128374693 T^{12} - 246128129752 T^{14} + 4217892169211 T^{16} - 47023162818334 T^{18} + 420707233300201 T^{20} )^{2} \))(\( ( 1 + T + 29 T^{2} )^{4} \))(\( ( 1 + T + 29 T^{2} )^{4} \))(\( ( 1 - T + 29 T^{2} )^{4} \))(\( ( 1 - T + 29 T^{2} )^{4} \))(\( 1 - 220 T^{2} + 25766 T^{4} - 2101752 T^{6} + 132425201 T^{8} - 6784185928 T^{10} + 290786240918 T^{12} - 10599475438788 T^{14} + 331431007100868 T^{16} - 8914158844020708 T^{18} + 205667583262723958 T^{20} - 4035392003974426888 T^{22} + 66245231785889430161 T^{24} - \)\(88\!\cdots\!52\)\( T^{26} + \)\(91\!\cdots\!06\)\( T^{28} - \)\(65\!\cdots\!20\)\( T^{30} + \)\(25\!\cdots\!21\)\( T^{32} \))(\( 1 - 220 T^{2} + 25766 T^{4} - 2101752 T^{6} + 132425201 T^{8} - 6784185928 T^{10} + 290786240918 T^{12} - 10599475438788 T^{14} + 331431007100868 T^{16} - 8914158844020708 T^{18} + 205667583262723958 T^{20} - 4035392003974426888 T^{22} + 66245231785889430161 T^{24} - \)\(88\!\cdots\!52\)\( T^{26} + \)\(91\!\cdots\!06\)\( T^{28} - \)\(65\!\cdots\!20\)\( T^{30} + \)\(25\!\cdots\!21\)\( T^{32} \))
$31$ (\( 1 + 4 T + 31 T^{2} \))(\( 1 - 6 T + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 + 2 T + 31 T^{2} \))(\( 1 - 6 T + 31 T^{2} \))(\( 1 - 2 T + 31 T^{2} \))(\( 1 - 4 T + 31 T^{2} \))(\( 1 - 4 T + 54 T^{2} - 124 T^{3} + 961 T^{4} \))(\( ( 1 - 6 T + 104 T^{2} - 802 T^{3} + 6739 T^{4} - 39156 T^{5} + 282800 T^{6} - 1213836 T^{7} + 6476179 T^{8} - 23892382 T^{9} + 96046184 T^{10} - 171774906 T^{11} + 887503681 T^{12} )^{2} \))(\( ( 1 - 6 T + 104 T^{2} - 802 T^{3} + 6739 T^{4} - 39156 T^{5} + 282800 T^{6} - 1213836 T^{7} + 6476179 T^{8} - 23892382 T^{9} + 96046184 T^{10} - 171774906 T^{11} + 887503681 T^{12} )^{2} \))(\( 1 - 136 T^{2} + 8512 T^{4} - 342376 T^{6} + 11129758 T^{8} - 329023336 T^{10} + 7861010752 T^{12} - 120700500616 T^{14} + 852891037441 T^{16} \))(\( 1 - 136 T^{2} + 8512 T^{4} - 342376 T^{6} + 11129758 T^{8} - 329023336 T^{10} + 7861010752 T^{12} - 120700500616 T^{14} + 852891037441 T^{16} \))(\( 1 - 96 T^{2} + 4046 T^{4} - 92256 T^{6} + 923521 T^{8} \))(\( ( 1 - 10 T + 31 T^{2} )^{2}( 1 + 10 T + 31 T^{2} )^{2} \))(\( ( 1 - 50 T^{2} + 961 T^{4} )^{2} \))(\( 1 - 96 T^{2} + 4046 T^{4} - 92256 T^{6} + 923521 T^{8} \))(\( ( 1 - 104 T^{2} + 4558 T^{4} - 99944 T^{6} + 923521 T^{8} )^{2} \))(\( ( 1 - 7 T + 31 T^{2} )( 1 + 11 T + 31 T^{2} ) \))(\( 1 + 2 T - 27 T^{2} + 62 T^{3} + 961 T^{4} \))(\( ( 1 - 11 T + 31 T^{2} )( 1 + 7 T + 31 T^{2} ) \))(\( 1 + 6 T + 5 T^{2} + 186 T^{3} + 961 T^{4} \))(\( ( 1 - 11 T + 31 T^{2} )^{2}( 1 + 7 T + 31 T^{2} )^{2} \))(\( 1 + 6 T + 39 T^{2} + 262 T^{3} + 942 T^{4} + 7302 T^{5} + 44307 T^{6} + 226362 T^{7} + 905262 T^{8} + 7805242 T^{9} + 36017319 T^{10} + 171774906 T^{11} + 887503681 T^{12} \))(\( 1 - 6 T - 9 T^{2} + 90 T^{3} - 450 T^{4} + 2874 T^{5} - 5389 T^{6} + 89094 T^{7} - 432450 T^{8} + 2681190 T^{9} - 8311689 T^{10} - 171774906 T^{11} + 887503681 T^{12} \))(\( 1 + 9 T + 75 T^{2} + 521 T^{3} + 3864 T^{4} + 16151 T^{5} + 72075 T^{6} + 268119 T^{7} + 923521 T^{8} \))(\( 1 - 9 T + 5 T^{2} + 39 T^{3} + 484 T^{4} + 1209 T^{5} + 4805 T^{6} - 268119 T^{7} + 923521 T^{8} \))(\( 1 - 17 T + 83 T^{2} + 191 T^{3} - 3320 T^{4} + 5921 T^{5} + 79763 T^{6} - 506447 T^{7} + 923521 T^{8} \))(\( 1 + T - 15 T^{2} - 151 T^{3} + 524 T^{4} - 4681 T^{5} - 14415 T^{6} + 29791 T^{7} + 923521 T^{8} \))(\( 1 + 14 T + 55 T^{2} - 70 T^{3} - 545 T^{4} + 3802 T^{5} + 913 T^{6} - 358610 T^{7} - 2899360 T^{8} - 11116910 T^{9} + 877393 T^{10} + 113265382 T^{11} - 503318945 T^{12} - 2004040570 T^{13} + 48812702455 T^{14} + 385176597554 T^{15} + 852891037441 T^{16} \))(\( 1 + 10 T - 7 T^{2} - 200 T^{3} + 1013 T^{4} + 560 T^{5} - 84489 T^{6} - 121150 T^{7} + 1882980 T^{8} - 3755650 T^{9} - 81193929 T^{10} + 16682960 T^{11} + 935526773 T^{12} - 5725830200 T^{13} - 6212525767 T^{14} + 275126141110 T^{15} + 852891037441 T^{16} \))(\( 1 + 4 T - 23 T^{2} - 94 T^{3} - 49 T^{4} - 3230 T^{5} + 15983 T^{6} + 24260 T^{7} - 841088 T^{8} + 752060 T^{9} + 15359663 T^{10} - 96224930 T^{11} - 45252529 T^{12} - 2691140194 T^{13} - 20412584663 T^{14} + 110050456444 T^{15} + 852891037441 T^{16} \))(\( 1 + 4 T - 89 T^{2} - 652 T^{3} + 1777 T^{4} + 35324 T^{5} + 116137 T^{6} - 597812 T^{7} - 7043764 T^{8} - 18532172 T^{9} + 111607657 T^{10} + 1052337284 T^{11} + 1641096817 T^{12} - 18666206452 T^{13} - 78987827609 T^{14} + 110050456444 T^{15} + 852891037441 T^{16} \))(\( ( 1 - 6 T + 43 T^{2} - 186 T^{3} + 961 T^{4} )^{2} \))(\( ( 1 + 6 T + 43 T^{2} + 186 T^{3} + 961 T^{4} )^{2} \))(\( ( 1 + 6 T + 43 T^{2} + 186 T^{3} + 961 T^{4} )^{2} \))(\( ( 1 + 12 T + 98 T^{2} + 600 T^{3} + 3027 T^{4} + 18600 T^{5} + 94178 T^{6} + 357492 T^{7} + 923521 T^{8} )^{2} \))(\( 1 - 12 T + 120 T^{2} - 864 T^{3} + 4810 T^{4} - 18204 T^{5} + 27072 T^{6} + 233196 T^{7} - 2105709 T^{8} + 7229076 T^{9} + 26016192 T^{10} - 542315364 T^{11} + 4442136010 T^{12} - 24735586464 T^{13} + 106500441720 T^{14} - 330151369332 T^{15} + 852891037441 T^{16} \))(\( 1 - 12 T + 120 T^{2} - 864 T^{3} + 4810 T^{4} - 18204 T^{5} + 27072 T^{6} + 233196 T^{7} - 2105709 T^{8} + 7229076 T^{9} + 26016192 T^{10} - 542315364 T^{11} + 4442136010 T^{12} - 24735586464 T^{13} + 106500441720 T^{14} - 330151369332 T^{15} + 852891037441 T^{16} \))(\( ( 1 - 18 T + 147 T^{2} - 702 T^{3} + 723 T^{4} + 17964 T^{5} - 158778 T^{6} + 727044 T^{7} - 1347555 T^{8} - 5315526 T^{9} + 50915713 T^{10} - 164781306 T^{11} - 1295000355 T^{12} + 21659367804 T^{13} - 146634817338 T^{14} + 514294068564 T^{15} + 641665161363 T^{16} - 19313855105922 T^{17} + 125374982503827 T^{18} - 475913198892078 T^{19} + 819628286980801 T^{20} )^{2} \))(\( 1 - 13 T + 79 T^{2} - 364 T^{3} + 1900 T^{4} - 11284 T^{5} + 75919 T^{6} - 387283 T^{7} + 923521 T^{8} \))(\( 1 - 13 T + 79 T^{2} - 364 T^{3} + 1900 T^{4} - 11284 T^{5} + 75919 T^{6} - 387283 T^{7} + 923521 T^{8} \))(\( 1 - 13 T + 79 T^{2} - 364 T^{3} + 1900 T^{4} - 11284 T^{5} + 75919 T^{6} - 387283 T^{7} + 923521 T^{8} \))(\( 1 - 13 T + 79 T^{2} - 364 T^{3} + 1900 T^{4} - 11284 T^{5} + 75919 T^{6} - 387283 T^{7} + 923521 T^{8} \))(\( 1 - 6 T + 211 T^{2} - 1194 T^{3} + 23451 T^{4} - 122748 T^{5} + 1782572 T^{6} - 8647176 T^{7} + 103630655 T^{8} - 469064958 T^{9} + 4922296683 T^{10} - 20969566134 T^{11} + 199997869402 T^{12} - 808826403210 T^{13} + 7187956918807 T^{14} - 27748250298954 T^{15} + 233495470937700 T^{16} - 860195759267574 T^{17} + 6907626598973527 T^{18} - 24095747378029110 T^{19} + 184702232348004442 T^{20} - 600340875254772234 T^{21} + 4368556425136590123 T^{22} - 12905203182446422338 T^{23} + 88385656853640353855 T^{24} - \)\(22\!\cdots\!96\)\( T^{25} + \)\(14\!\cdots\!72\)\( T^{26} - \)\(31\!\cdots\!88\)\( T^{27} + \)\(18\!\cdots\!11\)\( T^{28} - \)\(29\!\cdots\!54\)\( T^{29} + \)\(15\!\cdots\!31\)\( T^{30} - \)\(14\!\cdots\!06\)\( T^{31} + \)\(72\!\cdots\!81\)\( T^{32} \))(\( 1 - 6 T + 211 T^{2} - 1194 T^{3} + 23451 T^{4} - 122748 T^{5} + 1782572 T^{6} - 8647176 T^{7} + 103630655 T^{8} - 469064958 T^{9} + 4922296683 T^{10} - 20969566134 T^{11} + 199997869402 T^{12} - 808826403210 T^{13} + 7187956918807 T^{14} - 27748250298954 T^{15} + 233495470937700 T^{16} - 860195759267574 T^{17} + 6907626598973527 T^{18} - 24095747378029110 T^{19} + 184702232348004442 T^{20} - 600340875254772234 T^{21} + 4368556425136590123 T^{22} - 12905203182446422338 T^{23} + 88385656853640353855 T^{24} - \)\(22\!\cdots\!96\)\( T^{25} + \)\(14\!\cdots\!72\)\( T^{26} - \)\(31\!\cdots\!88\)\( T^{27} + \)\(18\!\cdots\!11\)\( T^{28} - \)\(29\!\cdots\!54\)\( T^{29} + \)\(15\!\cdots\!31\)\( T^{30} - \)\(14\!\cdots\!06\)\( T^{31} + \)\(72\!\cdots\!81\)\( T^{32} \))
$37$ (\( 1 + 2 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 - 10 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 - 4 T + 30 T^{2} - 148 T^{3} + 1369 T^{4} \))(\( ( 1 + 126 T^{2} + 128 T^{3} + 8519 T^{4} + 7808 T^{5} + 389732 T^{6} + 288896 T^{7} + 11662511 T^{8} + 6483584 T^{9} + 236144286 T^{10} + 2565726409 T^{12} )^{2} \))(\( ( 1 + 126 T^{2} + 128 T^{3} + 8519 T^{4} + 7808 T^{5} + 389732 T^{6} + 288896 T^{7} + 11662511 T^{8} + 6483584 T^{9} + 236144286 T^{10} + 2565726409 T^{12} )^{2} \))(\( ( 1 - 8 T + 84 T^{2} - 440 T^{3} + 3910 T^{4} - 16280 T^{5} + 114996 T^{6} - 405224 T^{7} + 1874161 T^{8} )^{2} \))(\( ( 1 - 8 T + 84 T^{2} - 440 T^{3} + 3910 T^{4} - 16280 T^{5} + 114996 T^{6} - 405224 T^{7} + 1874161 T^{8} )^{2} \))(\( ( 1 + 54 T^{2} + 1369 T^{4} )^{2} \))(\( ( 1 - 10 T + 37 T^{2} )^{4} \))(\( ( 1 + 2 T + 37 T^{2} )^{4} \))(\( ( 1 + 54 T^{2} + 1369 T^{4} )^{2} \))(\( ( 1 + 6 T^{2} + 1369 T^{4} )^{4} \))(\( 1 - 2 T - 33 T^{2} - 74 T^{3} + 1369 T^{4} \))(\( 1 - 7 T + 12 T^{2} - 259 T^{3} + 1369 T^{4} \))(\( 1 + 2 T - 33 T^{2} + 74 T^{3} + 1369 T^{4} \))(\( 1 - 3 T - 28 T^{2} - 111 T^{3} + 1369 T^{4} \))(\( 1 - 8 T + 2 T^{2} + 96 T^{3} + 107 T^{4} + 3552 T^{5} + 2738 T^{6} - 405224 T^{7} + 1874161 T^{8} \))(\( 1 + 9 T - 18 T^{2} - 113 T^{3} + 1620 T^{4} - 3915 T^{5} - 120216 T^{6} - 144855 T^{7} + 2217780 T^{8} - 5723789 T^{9} - 33734898 T^{10} + 624095613 T^{11} + 2565726409 T^{12} \))(\( 1 + 21 T + 198 T^{2} + 1539 T^{3} + 12636 T^{4} + 84153 T^{5} + 488288 T^{6} + 3113661 T^{7} + 17298684 T^{8} + 77954967 T^{9} + 371083878 T^{10} + 1456223097 T^{11} + 2565726409 T^{12} \))(\( 1 - 12 T + 17 T^{2} + 360 T^{3} - 2879 T^{4} + 13320 T^{5} + 23273 T^{6} - 607836 T^{7} + 1874161 T^{8} \))(\( 1 - 6 T - T^{2} - 192 T^{3} + 2449 T^{4} - 7104 T^{5} - 1369 T^{6} - 303918 T^{7} + 1874161 T^{8} \))(\( 1 - 10 T + 23 T^{2} + 280 T^{3} - 3191 T^{4} + 10360 T^{5} + 31487 T^{6} - 506530 T^{7} + 1874161 T^{8} \))(\( 1 + 8 T - 3 T^{2} + 40 T^{3} + 1601 T^{4} + 1480 T^{5} - 4107 T^{6} + 405224 T^{7} + 1874161 T^{8} \))(\( 1 - 10 T - 20 T^{2} + 530 T^{3} - 419 T^{4} - 530 T^{5} - 101000 T^{6} - 176960 T^{7} + 7183361 T^{8} - 6547520 T^{9} - 138269000 T^{10} - 26846090 T^{11} - 785273459 T^{12} + 36752297210 T^{13} - 51314528180 T^{14} - 949318771330 T^{15} + 3512479453921 T^{16} \))(\( 1 + 20 T + 106 T^{2} - 320 T^{3} - 4433 T^{4} - 9620 T^{5} + 24388 T^{6} + 587000 T^{7} + 5654405 T^{8} + 21719000 T^{9} + 33387172 T^{10} - 487281860 T^{11} - 8308155713 T^{12} - 22190066240 T^{13} + 271966999354 T^{14} + 1898637542660 T^{15} + 3512479453921 T^{16} \))(\( 1 + 24 T + 306 T^{2} + 2552 T^{3} + 14631 T^{4} + 44312 T^{5} - 176660 T^{6} - 3619200 T^{7} - 28521323 T^{8} - 133910400 T^{9} - 241847540 T^{10} + 2244535736 T^{11} + 27420849591 T^{12} + 176965778264 T^{13} + 785112281154 T^{14} + 2278365051192 T^{15} + 3512479453921 T^{16} \))(\( 1 - 30 T + 432 T^{2} - 4350 T^{3} + 36945 T^{4} - 277590 T^{5} + 1847032 T^{6} - 11423040 T^{7} + 69503169 T^{8} - 422652480 T^{9} + 2528586808 T^{10} - 14060766270 T^{11} + 69240878145 T^{12} - 301646212950 T^{13} + 1108393808688 T^{14} - 2847956313990 T^{15} + 3512479453921 T^{16} \))(\( ( 1 + 7 T + 12 T^{2} + 259 T^{3} + 1369 T^{4} )^{2} \))(\( ( 1 + 7 T + 12 T^{2} + 259 T^{3} + 1369 T^{4} )^{2} \))(\( ( 1 - 8 T + 27 T^{2} - 296 T^{3} + 1369 T^{4} )^{2} \))(\( ( 1 + 4 T - 21 T^{2} + 148 T^{3} + 1369 T^{4} )^{4} \))(\( 1 - 90 T^{2} + 168 T^{3} + 3796 T^{4} - 10668 T^{5} - 133884 T^{6} + 197904 T^{7} + 5300283 T^{8} + 7322448 T^{9} - 183287196 T^{10} - 540366204 T^{11} + 7114315156 T^{12} + 11649784776 T^{13} - 230915376810 T^{14} + 3512479453921 T^{16} \))(\( 1 - 90 T^{2} + 168 T^{3} + 3796 T^{4} - 10668 T^{5} - 133884 T^{6} + 197904 T^{7} + 5300283 T^{8} + 7322448 T^{9} - 183287196 T^{10} - 540366204 T^{11} + 7114315156 T^{12} + 11649784776 T^{13} - 230915376810 T^{14} + 3512479453921 T^{16} \))(\( ( 1 - 8 T - 75 T^{2} + 904 T^{3} + 2531 T^{4} - 53168 T^{5} + 27498 T^{6} + 1884160 T^{7} - 6789653 T^{8} - 26878968 T^{9} + 334097121 T^{10} - 994521816 T^{11} - 9295034957 T^{12} + 95438356480 T^{13} + 51535679178 T^{14} - 3686879505776 T^{15} + 6493853541179 T^{16} + 85818416928232 T^{17} - 263435959044075 T^{18} - 1039693918360616 T^{19} + 4808584372417849 T^{20} )^{2} \))(\( 1 - 7 T - 23 T^{2} + 14 T^{3} + 2002 T^{4} + 518 T^{5} - 31487 T^{6} - 354571 T^{7} + 1874161 T^{8} \))(\( 1 - 7 T - 23 T^{2} + 14 T^{3} + 2002 T^{4} + 518 T^{5} - 31487 T^{6} - 354571 T^{7} + 1874161 T^{8} \))(\( 1 - 7 T - 23 T^{2} + 14 T^{3} + 2002 T^{4} + 518 T^{5} - 31487 T^{6} - 354571 T^{7} + 1874161 T^{8} \))(\( 1 - 7 T - 23 T^{2} + 14 T^{3} + 2002 T^{4} + 518 T^{5} - 31487 T^{6} - 354571 T^{7} + 1874161 T^{8} \))(\( 1 - 14 T - 33 T^{2} + 1046 T^{3} + 1691 T^{4} - 53864 T^{5} - 86468 T^{6} + 2173700 T^{7} + 1235255 T^{8} - 65091530 T^{9} + 206049191 T^{10} + 759360790 T^{11} - 14671742086 T^{12} - 8090317954 T^{13} + 879590831371 T^{14} + 160835179910 T^{15} - 39314877822420 T^{16} + 5950901656670 T^{17} + 1204159848146899 T^{18} - 409798875323962 T^{19} - 27497206819639846 T^{20} + 52657081969246030 T^{21} + 528665850901785119 T^{22} - 6179261128358983490 T^{23} + 4338807807853184855 T^{24} + \)\(28\!\cdots\!00\)\( T^{25} - \)\(41\!\cdots\!32\)\( T^{26} - \)\(95\!\cdots\!32\)\( T^{27} + \)\(11\!\cdots\!71\)\( T^{28} + \)\(25\!\cdots\!62\)\( T^{29} - \)\(29\!\cdots\!37\)\( T^{30} - \)\(46\!\cdots\!02\)\( T^{31} + \)\(12\!\cdots\!41\)\( T^{32} \))(\( 1 - 14 T - 33 T^{2} + 1046 T^{3} + 1691 T^{4} - 53864 T^{5} - 86468 T^{6} + 2173700 T^{7} + 1235255 T^{8} - 65091530 T^{9} + 206049191 T^{10} + 759360790 T^{11} - 14671742086 T^{12} - 8090317954 T^{13} + 879590831371 T^{14} + 160835179910 T^{15} - 39314877822420 T^{16} + 5950901656670 T^{17} + 1204159848146899 T^{18} - 409798875323962 T^{19} - 27497206819639846 T^{20} + 52657081969246030 T^{21} + 528665850901785119 T^{22} - 6179261128358983490 T^{23} + 4338807807853184855 T^{24} + \)\(28\!\cdots\!00\)\( T^{25} - \)\(41\!\cdots\!32\)\( T^{26} - \)\(95\!\cdots\!32\)\( T^{27} + \)\(11\!\cdots\!71\)\( T^{28} + \)\(25\!\cdots\!62\)\( T^{29} - \)\(29\!\cdots\!37\)\( T^{30} - \)\(46\!\cdots\!02\)\( T^{31} + \)\(12\!\cdots\!41\)\( T^{32} \))
$41$ (\( 1 + 6 T + 41 T^{2} \))(\( 1 + 12 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 + 4 T + 41 T^{2} \))(\( 1 - 12 T + 41 T^{2} \))(\( 1 + 41 T^{2} \))(\( 1 + 10 T + 41 T^{2} \))(\( 1 + 70 T^{2} + 1681 T^{4} \))(\( ( 1 - 10 T + 116 T^{2} - 898 T^{3} + 6739 T^{4} - 46636 T^{5} + 322280 T^{6} - 1912076 T^{7} + 11328259 T^{8} - 61891058 T^{9} + 327788276 T^{10} - 1158562010 T^{11} + 4750104241 T^{12} )^{2} \))(\( ( 1 + 10 T + 116 T^{2} + 898 T^{3} + 6739 T^{4} + 46636 T^{5} + 322280 T^{6} + 1912076 T^{7} + 11328259 T^{8} + 61891058 T^{9} + 327788276 T^{10} + 1158562010 T^{11} + 4750104241 T^{12} )^{2} \))(\( ( 1 + 10 T + 142 T^{2} + 846 T^{3} + 7626 T^{4} + 34686 T^{5} + 238702 T^{6} + 689210 T^{7} + 2825761 T^{8} )^{2} \))(\( ( 1 - 10 T + 142 T^{2} - 846 T^{3} + 7626 T^{4} - 34686 T^{5} + 238702 T^{6} - 689210 T^{7} + 2825761 T^{8} )^{2} \))(\( ( 1 - 2 T - 42 T^{2} - 82 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 - 14 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 + 70 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 + 2 T - 42 T^{2} + 82 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 + 72 T^{2} + 4590 T^{4} + 121032 T^{6} + 2825761 T^{8} )^{2} \))(\( ( 1 - 5 T + 41 T^{2} )^{2} \))(\( ( 1 + 6 T + 41 T^{2} )^{2} \))(\( ( 1 + 3 T + 41 T^{2} )^{2} \))(\( ( 1 + 6 T + 41 T^{2} )^{2} \))(\( ( 1 - 9 T + 41 T^{2} )^{4} \))(\( ( 1 - 12 T + 144 T^{2} - 902 T^{3} + 5904 T^{4} - 20172 T^{5} + 68921 T^{6} )^{2} \))(\( ( 1 - 12 T + 96 T^{2} - 678 T^{3} + 3936 T^{4} - 20172 T^{5} + 68921 T^{6} )^{2} \))(\( 1 - 20 T + 149 T^{2} - 620 T^{3} + 2861 T^{4} - 25420 T^{5} + 250469 T^{6} - 1378420 T^{7} + 2825761 T^{8} \))(\( ( 1 - 9 T + 71 T^{2} - 369 T^{3} + 1681 T^{4} )( 1 + T - 69 T^{2} + 41 T^{3} + 1681 T^{4} ) \))(\( 1 + 16 T + 65 T^{2} - 636 T^{3} - 8251 T^{4} - 26076 T^{5} + 109265 T^{6} + 1102736 T^{7} + 2825761 T^{8} \))(\( 1 + 4 T - 35 T^{2} - 124 T^{3} + 1149 T^{4} - 5084 T^{5} - 58835 T^{6} + 275684 T^{7} + 2825761 T^{8} \))(\( 1 + 12 T - 38 T^{2} - 1388 T^{3} - 5157 T^{4} + 59852 T^{5} + 529180 T^{6} - 958480 T^{7} - 26289619 T^{8} - 39297680 T^{9} + 889551580 T^{10} + 4125059692 T^{11} - 14572449477 T^{12} - 160808406988 T^{13} - 180503961158 T^{14} + 2337051286572 T^{15} + 7984925229121 T^{16} \))(\( 1 - 12 T - 14 T^{2} + 372 T^{3} + 971 T^{4} - 15516 T^{5} + 158084 T^{6} - 296544 T^{7} - 5421323 T^{8} - 12158304 T^{9} + 265739204 T^{10} - 1069378236 T^{11} + 2743813931 T^{12} + 43098506772 T^{13} - 66501459374 T^{14} - 2337051286572 T^{15} + 7984925229121 T^{16} \))(\( 1 - 50 T^{2} + 240 T^{3} + 2199 T^{4} - 7920 T^{5} - 33700 T^{6} + 212520 T^{7} + 2579021 T^{8} + 8713320 T^{9} - 56649700 T^{10} - 545854320 T^{11} + 6213848439 T^{12} + 27805488240 T^{13} - 237505212050 T^{14} + 7984925229121 T^{16} \))(\( 1 + 24 T + 326 T^{2} + 3528 T^{3} + 33327 T^{4} + 281544 T^{5} + 2175052 T^{6} + 15415848 T^{7} + 101528381 T^{8} + 632049768 T^{9} + 3656262412 T^{10} + 19404294024 T^{11} + 94174136847 T^{12} + 408740677128 T^{13} + 1548533982566 T^{14} + 4674102573144 T^{15} + 7984925229121 T^{16} \))(\( ( 1 + 34 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 + 34 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 + 55 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 + 55 T^{2} + 1681 T^{4} )^{4} \))(\( ( 1 - 20 T + 238 T^{2} - 1840 T^{3} + 12600 T^{4} - 75440 T^{5} + 400078 T^{6} - 1378420 T^{7} + 2825761 T^{8} )^{2} \))(\( ( 1 + 20 T + 238 T^{2} + 1840 T^{3} + 12600 T^{4} + 75440 T^{5} + 400078 T^{6} + 1378420 T^{7} + 2825761 T^{8} )^{2} \))(\( ( 1 + 379 T^{2} + 65761 T^{4} + 6880596 T^{6} + 480812858 T^{8} + 23448503918 T^{10} + 808246414298 T^{12} + 19442919833556 T^{14} + 312371604992401 T^{16} + 3026286661836859 T^{18} + 13422659310152401 T^{20} )^{2} \))(\( ( 1 + 2 T + 26 T^{2} + 82 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 + 2 T + 26 T^{2} + 82 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 - 2 T + 26 T^{2} - 82 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 - 2 T + 26 T^{2} - 82 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 - 16 T + 330 T^{2} - 3640 T^{3} + 42745 T^{4} - 362832 T^{5} + 3123194 T^{6} - 21761352 T^{7} + 152229812 T^{8} - 892215432 T^{9} + 5250089114 T^{10} - 25006744272 T^{11} + 120787153945 T^{12} - 421716571640 T^{13} + 1567534399530 T^{14} - 3116068382096 T^{15} + 7984925229121 T^{16} )^{2} \))(\( ( 1 + 16 T + 330 T^{2} + 3640 T^{3} + 42745 T^{4} + 362832 T^{5} + 3123194 T^{6} + 21761352 T^{7} + 152229812 T^{8} + 892215432 T^{9} + 5250089114 T^{10} + 25006744272 T^{11} + 120787153945 T^{12} + 421716571640 T^{13} + 1567534399530 T^{14} + 3116068382096 T^{15} + 7984925229121 T^{16} )^{2} \))
$43$ (\( 1 + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 + 8 T + 54 T^{2} + 344 T^{3} + 1849 T^{4} \))(\( 1 - 196 T^{2} + 12306 T^{4} - 83860 T^{6} - 11590465 T^{8} - 802915464 T^{10} + 86089715516 T^{12} - 1484590692936 T^{14} - 39625493332465 T^{16} - 530109505289140 T^{18} + 143834992616157906 T^{20} - 4235850533403712804 T^{22} + 39959630797262576401 T^{24} \))(\( 1 - 196 T^{2} + 12306 T^{4} - 83860 T^{6} - 11590465 T^{8} - 802915464 T^{10} + 86089715516 T^{12} - 1484590692936 T^{14} - 39625493332465 T^{16} - 530109505289140 T^{18} + 143834992616157906 T^{20} - 4235850533403712804 T^{22} + 39959630797262576401 T^{24} \))(\( 1 - 200 T^{2} + 19068 T^{4} - 1180344 T^{6} + 56035302 T^{8} - 2182456056 T^{10} + 65189697468 T^{12} - 1264272609800 T^{14} + 11688200277601 T^{16} \))(\( 1 - 200 T^{2} + 19068 T^{4} - 1180344 T^{6} + 56035302 T^{8} - 2182456056 T^{10} + 65189697468 T^{12} - 1264272609800 T^{14} + 11688200277601 T^{16} \))(\( ( 1 - 4 T + 10 T^{2} - 172 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 + 8 T + 43 T^{2} )^{4} \))(\( ( 1 + 2 T + 43 T^{2} )^{4} \))(\( ( 1 - 4 T + 10 T^{2} - 172 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 - 14 T + 118 T^{2} - 602 T^{3} + 1849 T^{4} )^{4} \))(\( ( 1 + 10 T + 43 T^{2} )^{2} \))(\( ( 1 - 11 T + 43 T^{2} )^{2} \))(\( ( 1 - 2 T + 43 T^{2} )^{2} \))(\( ( 1 - T + 43 T^{2} )^{2} \))(\( ( 1 - 8 T + 74 T^{2} - 344 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 - 9 T + 117 T^{2} - 610 T^{3} + 5031 T^{4} - 16641 T^{5} + 79507 T^{6} )^{2} \))(\( ( 1 - 3 T - 3 T^{2} + 146 T^{3} - 129 T^{4} - 5547 T^{5} + 79507 T^{6} )^{2} \))(\( ( 1 + 12 T + 102 T^{2} + 516 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 + 2 T + 82 T^{2} + 86 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 - 6 T + 90 T^{2} - 258 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 - 10 T + 43 T^{2} )^{4} \))(\( ( 1 - 10 T + 100 T^{2} - 630 T^{3} + 5018 T^{4} - 27090 T^{5} + 184900 T^{6} - 795070 T^{7} + 3418801 T^{8} )^{2} \))(\( ( 1 - 24 T + 248 T^{2} - 1480 T^{3} + 7986 T^{4} - 63640 T^{5} + 458552 T^{6} - 1908168 T^{7} + 3418801 T^{8} )^{2} \))(\( ( 1 - 4 T + 132 T^{2} - 428 T^{3} + 7898 T^{4} - 18404 T^{5} + 244068 T^{6} - 318028 T^{7} + 3418801 T^{8} )^{2} \))(\( ( 1 + 10 T + 124 T^{2} + 750 T^{3} + 6362 T^{4} + 32250 T^{5} + 229276 T^{6} + 795070 T^{7} + 3418801 T^{8} )^{2} \))(\( ( 1 - T + 43 T^{2} )^{4} \))(\( ( 1 + 5 T + 43 T^{2} )^{4} \))(\( ( 1 + 8 T + 43 T^{2} )^{4} \))(\( ( 1 - 8 T + 30 T^{2} - 344 T^{3} + 1849 T^{4} )^{4} \))(\( ( 1 + 4 T + 168 T^{2} + 500 T^{3} + 10742 T^{4} + 21500 T^{5} + 310632 T^{6} + 318028 T^{7} + 3418801 T^{8} )^{2} \))(\( ( 1 + 4 T + 168 T^{2} + 500 T^{3} + 10742 T^{4} + 21500 T^{5} + 310632 T^{6} + 318028 T^{7} + 3418801 T^{8} )^{2} \))(\( ( 1 - 8 T + 131 T^{2} - 528 T^{3} + 6718 T^{4} - 19536 T^{5} + 288874 T^{6} - 976272 T^{7} + 10415417 T^{8} - 27350408 T^{9} + 147008443 T^{10} )^{4} \))(\( 1 - 41 T^{2} + 2964 T^{4} - 75809 T^{6} + 3418801 T^{8} \))(\( 1 - 41 T^{2} + 2964 T^{4} - 75809 T^{6} + 3418801 T^{8} \))(\( 1 - 41 T^{2} + 2964 T^{4} - 75809 T^{6} + 3418801 T^{8} \))(\( 1 - 41 T^{2} + 2964 T^{4} - 75809 T^{6} + 3418801 T^{8} \))(\( 1 - 370 T^{2} + 69205 T^{4} - 8714850 T^{6} + 829915302 T^{8} - 63533346462 T^{10} + 4048663635627 T^{12} - 219017168933710 T^{14} + 10156745084830162 T^{16} - 404962745358429790 T^{18} + 13841575286145223227 T^{20} - \)\(40\!\cdots\!38\)\( T^{22} + \)\(97\!\cdots\!02\)\( T^{24} - \)\(18\!\cdots\!50\)\( T^{26} + \)\(27\!\cdots\!05\)\( T^{28} - \)\(27\!\cdots\!30\)\( T^{30} + \)\(13\!\cdots\!01\)\( T^{32} \))(\( 1 - 370 T^{2} + 69205 T^{4} - 8714850 T^{6} + 829915302 T^{8} - 63533346462 T^{10} + 4048663635627 T^{12} - 219017168933710 T^{14} + 10156745084830162 T^{16} - 404962745358429790 T^{18} + 13841575286145223227 T^{20} - \)\(40\!\cdots\!38\)\( T^{22} + \)\(97\!\cdots\!02\)\( T^{24} - \)\(18\!\cdots\!50\)\( T^{26} + \)\(27\!\cdots\!05\)\( T^{28} - \)\(27\!\cdots\!30\)\( T^{30} + \)\(13\!\cdots\!01\)\( T^{32} \))
$47$ (\( 1 + 8 T + 47 T^{2} \))(\( 1 - 2 T + 47 T^{2} \))(\( 1 - 4 T + 47 T^{2} \))(\( 1 + 6 T + 47 T^{2} \))(\( 1 - 6 T + 47 T^{2} \))(\( 1 + 6 T + 47 T^{2} \))(\( 1 - 4 T + 47 T^{2} \))(\( 1 - 12 T + 118 T^{2} - 564 T^{3} + 2209 T^{4} \))(\( 1 - 220 T^{2} + 26958 T^{4} - 2378572 T^{6} + 168591599 T^{8} - 10067983896 T^{10} + 511736608964 T^{12} - 22240176426264 T^{14} + 822673222399919 T^{16} - 25639139763530188 T^{18} + 641904665827753038 T^{20} - 11571809091882610780 T^{22} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 - 220 T^{2} + 26958 T^{4} - 2378572 T^{6} + 168591599 T^{8} - 10067983896 T^{10} + 511736608964 T^{12} - 22240176426264 T^{14} + 822673222399919 T^{16} - 25639139763530188 T^{18} + 641904665827753038 T^{20} - 11571809091882610780 T^{22} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 - 148 T^{2} + 14428 T^{4} - 1007804 T^{6} + 53470902 T^{8} - 2226239036 T^{10} + 70404037468 T^{12} - 1595323868692 T^{14} + 23811286661761 T^{16} \))(\( 1 - 148 T^{2} + 14428 T^{4} - 1007804 T^{6} + 53470902 T^{8} - 2226239036 T^{10} + 70404037468 T^{12} - 1595323868692 T^{14} + 23811286661761 T^{16} \))(\( ( 1 - 12 T + 110 T^{2} - 564 T^{3} + 2209 T^{4} )^{2} \))(\( ( 1 - 2 T^{2} + 2209 T^{4} )^{2} \))(\( ( 1 - 14 T^{2} + 2209 T^{4} )^{2} \))(\( ( 1 + 12 T + 110 T^{2} + 564 T^{3} + 2209 T^{4} )^{2} \))(\( ( 1 + 96 T^{2} + 6654 T^{4} + 212064 T^{6} + 4879681 T^{8} )^{2} \))(\( 1 + 9 T + 34 T^{2} + 423 T^{3} + 2209 T^{4} \))(\( 1 - 3 T - 38 T^{2} - 141 T^{3} + 2209 T^{4} \))(\( 1 - 9 T + 34 T^{2} - 423 T^{3} + 2209 T^{4} \))(\( 1 - T - 46 T^{2} - 47 T^{3} + 2209 T^{4} \))(\( 1 + 8 T + 17 T^{2} - 376 T^{3} - 3008 T^{4} - 17672 T^{5} + 37553 T^{6} + 830584 T^{7} + 4879681 T^{8} \))(\( 1 - 15 T + 33 T^{2} - 98 T^{3} + 6975 T^{4} - 29487 T^{5} - 87106 T^{6} - 1385889 T^{7} + 15407775 T^{8} - 10174654 T^{9} + 161029473 T^{10} - 3440175105 T^{11} + 10779215329 T^{12} \))(\( 1 + 3 T - 105 T^{2} - 204 T^{3} + 6819 T^{4} + 5601 T^{5} - 348518 T^{6} + 263247 T^{7} + 15063171 T^{8} - 21179892 T^{9} - 512366505 T^{10} + 688035021 T^{11} + 10779215329 T^{12} \))(\( 1 + 14 T + 89 T^{2} + 798 T^{3} + 7529 T^{4} + 37506 T^{5} + 196601 T^{6} + 1453522 T^{7} + 4879681 T^{8} \))(\( 1 - 14 T + 29 T^{2} + 352 T^{3} - 2851 T^{4} + 16544 T^{5} + 64061 T^{6} - 1453522 T^{7} + 4879681 T^{8} \))(\( 1 + 24 T + 329 T^{2} + 3318 T^{3} + 25669 T^{4} + 155946 T^{5} + 726761 T^{6} + 2491752 T^{7} + 4879681 T^{8} \))(\( 1 + 12 T + 17 T^{2} - 60 T^{3} + 961 T^{4} - 2820 T^{5} + 37553 T^{6} + 1245876 T^{7} + 4879681 T^{8} \))(\( 1 - 28 T + 328 T^{2} - 1882 T^{3} + 5667 T^{4} - 21792 T^{5} - 27606 T^{6} + 4499416 T^{7} - 50513343 T^{8} + 211472552 T^{9} - 60981654 T^{10} - 2262510816 T^{11} + 27653152227 T^{12} - 431627303174 T^{13} + 3535582627912 T^{14} - 14185447372964 T^{15} + 23811286661761 T^{16} \))(\( 1 + 116 T^{2} + 11247 T^{4} + 713458 T^{6} + 38489405 T^{8} + 1576028722 T^{10} + 54881772207 T^{12} + 1250388978164 T^{14} + 23811286661761 T^{16} \))(\( 1 + 2 T - 24 T^{2} - 300 T^{3} - 2809 T^{4} - 20694 T^{5} + 1670 T^{6} + 1342496 T^{7} + 8656437 T^{8} + 63097312 T^{9} + 3689030 T^{10} - 2148513162 T^{11} - 13707023929 T^{12} - 68803502100 T^{13} - 258701167896 T^{14} + 1013246240926 T^{15} + 23811286661761 T^{16} \))(\( 1 + 6 T - 96 T^{2} - 1086 T^{3} - 81 T^{4} + 68034 T^{5} + 456158 T^{6} - 1442568 T^{7} - 32057967 T^{8} - 67800696 T^{9} + 1007653022 T^{10} + 7063493982 T^{11} - 395254161 T^{12} - 249068677602 T^{13} - 1034804671584 T^{14} + 3039738722778 T^{15} + 23811286661761 T^{16} \))(\( 1 - 91 T^{2} + 6072 T^{4} - 201019 T^{6} + 4879681 T^{8} \))(\( 1 + 53 T^{2} + 600 T^{4} + 117077 T^{6} + 4879681 T^{8} \))(\( 1 - 19 T^{2} - 1848 T^{4} - 41971 T^{6} + 4879681 T^{8} \))(\( 1 - 170 T^{2} + 17329 T^{4} - 1216010 T^{6} + 65168260 T^{8} - 2686166090 T^{10} + 84559992049 T^{12} - 1832466605930 T^{14} + 23811286661761 T^{16} \))(\( ( 1 - 12 T + 22 T^{2} - 336 T^{3} + 5907 T^{4} - 15792 T^{5} + 48598 T^{6} - 1245876 T^{7} + 4879681 T^{8} )^{2} \))(\( ( 1 + 12 T + 22 T^{2} + 336 T^{3} + 5907 T^{4} + 15792 T^{5} + 48598 T^{6} + 1245876 T^{7} + 4879681 T^{8} )^{2} \))(\( 1 + 29 T^{2} - 4140 T^{4} - 66007 T^{6} + 5373875 T^{8} - 62873050 T^{10} - 8687712324 T^{12} - 332025992134 T^{14} + 26041090134253 T^{16} + 1069119520723071 T^{18} - 52828130382498024 T^{20} + 2361685021277263839 T^{22} + \)\(12\!\cdots\!93\)\( T^{24} - \)\(35\!\cdots\!86\)\( T^{26} - \)\(20\!\cdots\!64\)\( T^{28} - \)\(33\!\cdots\!50\)\( T^{30} + \)\(62\!\cdots\!75\)\( T^{32} - \)\(16\!\cdots\!83\)\( T^{34} - \)\(23\!\cdots\!40\)\( T^{36} + \)\(36\!\cdots\!81\)\( T^{38} + \)\(27\!\cdots\!01\)\( T^{40} \))(\( 1 + 15 T + 145 T^{2} + 1050 T^{3} + 6216 T^{4} + 49350 T^{5} + 320305 T^{6} + 1557345 T^{7} + 4879681 T^{8} \))(\( 1 - 15 T + 145 T^{2} - 1050 T^{3} + 6216 T^{4} - 49350 T^{5} + 320305 T^{6} - 1557345 T^{7} + 4879681 T^{8} \))(\( 1 + 15 T + 145 T^{2} + 1050 T^{3} + 6216 T^{4} + 49350 T^{5} + 320305 T^{6} + 1557345 T^{7} + 4879681 T^{8} \))(\( 1 - 15 T + 145 T^{2} - 1050 T^{3} + 6216 T^{4} - 49350 T^{5} + 320305 T^{6} - 1557345 T^{7} + 4879681 T^{8} \))(\( 1 + 24 T + 319 T^{2} + 3048 T^{3} + 23178 T^{4} + 148668 T^{5} + 513441 T^{6} - 2932224 T^{7} - 69320617 T^{8} - 712534932 T^{9} - 5366273204 T^{10} - 34042967316 T^{11} - 142354134896 T^{12} + 52571251464 T^{13} + 7563961844008 T^{14} + 83457296949492 T^{15} + 624119873811908 T^{16} + 3922492956626124 T^{17} + 16708791713413672 T^{18} + 5458105040746872 T^{19} - 694642767323448176 T^{20} - 7807584577388791212 T^{21} - 57844214380158744116 T^{22} - \)\(36\!\cdots\!16\)\( T^{23} - \)\(16\!\cdots\!37\)\( T^{24} - \)\(32\!\cdots\!08\)\( T^{25} + \)\(27\!\cdots\!09\)\( T^{26} + \)\(36\!\cdots\!04\)\( T^{27} + \)\(26\!\cdots\!98\)\( T^{28} + \)\(16\!\cdots\!96\)\( T^{29} + \)\(81\!\cdots\!11\)\( T^{30} + \)\(28\!\cdots\!32\)\( T^{31} + \)\(56\!\cdots\!21\)\( T^{32} \))(\( 1 + 24 T + 319 T^{2} + 3048 T^{3} + 23178 T^{4} + 148668 T^{5} + 513441 T^{6} - 2932224 T^{7} - 69320617 T^{8} - 712534932 T^{9} - 5366273204 T^{10} - 34042967316 T^{11} - 142354134896 T^{12} + 52571251464 T^{13} + 7563961844008 T^{14} + 83457296949492 T^{15} + 624119873811908 T^{16} + 3922492956626124 T^{17} + 16708791713413672 T^{18} + 5458105040746872 T^{19} - 694642767323448176 T^{20} - 7807584577388791212 T^{21} - 57844214380158744116 T^{22} - \)\(36\!\cdots\!16\)\( T^{23} - \)\(16\!\cdots\!37\)\( T^{24} - \)\(32\!\cdots\!08\)\( T^{25} + \)\(27\!\cdots\!09\)\( T^{26} + \)\(36\!\cdots\!04\)\( T^{27} + \)\(26\!\cdots\!98\)\( T^{28} + \)\(16\!\cdots\!96\)\( T^{29} + \)\(81\!\cdots\!11\)\( T^{30} + \)\(28\!\cdots\!32\)\( T^{31} + \)\(56\!\cdots\!21\)\( T^{32} \))
$53$ (\( 1 + 14 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 - 10 T + 53 T^{2} \))(\( 1 + 10 T + 53 T^{2} \))(\( 1 - 2 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 + 2 T + 53 T^{2} \))(\( 1 - 12 T + 94 T^{2} - 636 T^{3} + 2809 T^{4} \))(\( 1 - 428 T^{2} + 88498 T^{4} - 11863708 T^{6} + 1158678719 T^{8} - 87145332824 T^{10} + 5177477796604 T^{12} - 244791239902616 T^{14} + 9142532417373839 T^{16} - 262951508441006332 T^{18} + 5509858082024625778 T^{20} - 74851837316439584972 T^{22} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 - 428 T^{2} + 88498 T^{4} - 11863708 T^{6} + 1158678719 T^{8} - 87145332824 T^{10} + 5177477796604 T^{12} - 244791239902616 T^{14} + 9142532417373839 T^{16} - 262951508441006332 T^{18} + 5509858082024625778 T^{20} - 74851837316439584972 T^{22} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( ( 1 + 30 T^{2} - 64 T^{3} - 1926 T^{4} - 3392 T^{5} + 84270 T^{6} + 7890481 T^{8} )^{2} \))(\( ( 1 + 30 T^{2} - 64 T^{3} - 1926 T^{4} - 3392 T^{5} + 84270 T^{6} + 7890481 T^{8} )^{2} \))(\( 1 - 120 T^{2} + 9038 T^{4} - 337080 T^{6} + 7890481 T^{8} \))(\( ( 1 - 70 T^{2} + 2809 T^{4} )^{2} \))(\( ( 1 - 70 T^{2} + 2809 T^{4} )^{2} \))(\( 1 - 120 T^{2} + 9038 T^{4} - 337080 T^{6} + 7890481 T^{8} \))(\( ( 1 - 102 T^{2} + 2809 T^{4} )^{4} \))(\( 1 + 2 T - 49 T^{2} + 106 T^{3} + 2809 T^{4} \))(\( 1 - 53 T^{2} + 2809 T^{4} \))(\( 1 + 6 T - 17 T^{2} + 318 T^{3} + 2809 T^{4} \))(\( 1 - 53 T^{2} + 2809 T^{4} \))(\( ( 1 + 4 T - 37 T^{2} + 212 T^{3} + 2809 T^{4} )^{2} \))(\( 1 - 123 T^{2} + 64 T^{3} + 8610 T^{4} - 3936 T^{5} - 503059 T^{6} - 208608 T^{7} + 24185490 T^{8} + 9528128 T^{9} - 970529163 T^{10} + 22164361129 T^{12} \))(\( ( 1 + 8 T + 11 T^{2} + 424 T^{3} + 2809 T^{4} )^{3} \))(\( 1 - 12 T + 91 T^{2} - 966 T^{3} + 9829 T^{4} - 51198 T^{5} + 255619 T^{6} - 1786524 T^{7} + 7890481 T^{8} \))(\( 1 - 18 T + 91 T^{2} - 114 T^{3} + 289 T^{4} - 6042 T^{5} + 255619 T^{6} - 2679786 T^{7} + 7890481 T^{8} \))(\( 1 - 20 T + 187 T^{2} - 1600 T^{3} + 13449 T^{4} - 84800 T^{5} + 525283 T^{6} - 2977540 T^{7} + 7890481 T^{8} \))(\( 1 - 14 T + 23 T^{2} + 400 T^{3} - 2899 T^{4} + 21200 T^{5} + 64607 T^{6} - 2084278 T^{7} + 7890481 T^{8} \))(\( 1 - 2 T - 108 T^{2} + 334 T^{3} + 4431 T^{4} - 20942 T^{5} + 68130 T^{6} + 576352 T^{7} - 13977591 T^{8} + 30546656 T^{9} + 191377170 T^{10} - 3117782134 T^{11} + 34962721311 T^{12} + 139677294662 T^{13} - 2393751001932 T^{14} - 2349422279674 T^{15} + 62259690411361 T^{16} \))(\( 1 + 12 T + 52 T^{2} + 96 T^{3} + 1671 T^{4} + 10092 T^{5} - 59650 T^{6} - 1391712 T^{7} - 9996211 T^{8} - 73760736 T^{9} - 167556850 T^{10} + 1502466684 T^{11} + 13184993751 T^{12} + 40146767328 T^{13} + 1152546778708 T^{14} + 14096533678044 T^{15} + 62259690411361 T^{16} \))(\( 1 + 22 T + 180 T^{2} + 888 T^{3} + 7199 T^{4} + 96966 T^{5} + 1007894 T^{6} + 6420736 T^{7} + 35667381 T^{8} + 340299008 T^{9} + 2831174246 T^{10} + 14436007182 T^{11} + 56803572719 T^{12} + 371357597784 T^{13} + 3989585003220 T^{14} + 25843645076414 T^{15} + 62259690411361 T^{16} \))(\( 1 - 24 T + 360 T^{2} - 4638 T^{3} + 50091 T^{4} - 467196 T^{5} + 4129394 T^{6} - 33330480 T^{7} + 247686249 T^{8} - 1766515440 T^{9} + 11599467746 T^{10} - 69554738892 T^{11} + 395242083771 T^{12} - 1939590696534 T^{13} + 7979170006440 T^{14} - 28193067356088 T^{15} + 62259690411361 T^{16} \))(\( ( 1 + 53 T^{2} + 2809 T^{4} )^{2} \))(\( ( 1 + 53 T^{2} + 2809 T^{4} )^{2} \))(\( 1 + 70 T^{2} + 2091 T^{4} + 196630 T^{6} + 7890481 T^{8} \))(\( ( 1 + 34 T^{2} - 1653 T^{4} + 95506 T^{6} + 7890481 T^{8} )^{2} \))(\( 1 + 60 T + 1842 T^{2} + 38520 T^{3} + 615508 T^{4} + 7958568 T^{5} + 85875804 T^{6} + 786763452 T^{7} + 6177587403 T^{8} + 41698462956 T^{9} + 241225133436 T^{10} + 1184847728136 T^{11} + 4856654179348 T^{12} + 16108890390360 T^{13} + 40826753199618 T^{14} + 70482668390220 T^{15} + 62259690411361 T^{16} \))(\( 1 - 60 T + 1842 T^{2} - 38520 T^{3} + 615508 T^{4} - 7958568 T^{5} + 85875804 T^{6} - 786763452 T^{7} + 6177587403 T^{8} - 41698462956 T^{9} + 241225133436 T^{10} - 1184847728136 T^{11} + 4856654179348 T^{12} - 16108890390360 T^{13} + 40826753199618 T^{14} - 70482668390220 T^{15} + 62259690411361 T^{16} \))(\( 1 + 130 T^{2} - 385 T^{4} - 618390 T^{6} + 7110947 T^{8} + 3357689580 T^{10} + 43055000374 T^{12} - 6566150768460 T^{14} - 45839867658151 T^{16} + 12920652761343390 T^{18} + 597130170364840945 T^{20} + 36294113606613582510 T^{22} - \)\(36\!\cdots\!31\)\( T^{24} - \)\(14\!\cdots\!40\)\( T^{26} + \)\(26\!\cdots\!14\)\( T^{28} + \)\(58\!\cdots\!20\)\( T^{30} + \)\(34\!\cdots\!27\)\( T^{32} - \)\(85\!\cdots\!10\)\( T^{34} - \)\(14\!\cdots\!85\)\( T^{36} + \)\(14\!\cdots\!70\)\( T^{38} + \)\(30\!\cdots\!01\)\( T^{40} \))(\( 1 - 9 T + 21 T^{2} + 54 T^{3} - 1342 T^{4} + 2862 T^{5} + 58989 T^{6} - 1339893 T^{7} + 7890481 T^{8} \))(\( 1 + 9 T + 21 T^{2} - 54 T^{3} - 1342 T^{4} - 2862 T^{5} + 58989 T^{6} + 1339893 T^{7} + 7890481 T^{8} \))(\( 1 - 9 T + 21 T^{2} + 54 T^{3} - 1342 T^{4} + 2862 T^{5} + 58989 T^{6} - 1339893 T^{7} + 7890481 T^{8} \))(\( 1 + 9 T + 21 T^{2} - 54 T^{3} - 1342 T^{4} - 2862 T^{5} + 58989 T^{6} + 1339893 T^{7} + 7890481 T^{8} \))(\( 1 - 189 T^{2} - 232 T^{3} + 17439 T^{4} + 43888 T^{5} - 854100 T^{6} - 3942720 T^{7} + 12368239 T^{8} + 287201456 T^{9} + 1198176951 T^{10} - 19075388376 T^{11} - 112969340570 T^{12} + 1015766984472 T^{13} + 6717800645927 T^{14} - 24348070253360 T^{15} - 355137904117416 T^{16} - 1290447723428080 T^{17} + 18870302014408943 T^{18} + 151224341347237944 T^{19} - 891382435350114170 T^{20} - 7977241446067789368 T^{21} + 26556826638408137679 T^{22} + \)\(33\!\cdots\!72\)\( T^{23} + \)\(77\!\cdots\!79\)\( T^{24} - \)\(13\!\cdots\!60\)\( T^{25} - \)\(14\!\cdots\!00\)\( T^{26} + \)\(40\!\cdots\!36\)\( T^{27} + \)\(85\!\cdots\!99\)\( T^{28} - \)\(60\!\cdots\!36\)\( T^{29} - \)\(26\!\cdots\!41\)\( T^{30} + \)\(38\!\cdots\!21\)\( T^{32} \))(\( 1 - 189 T^{2} - 232 T^{3} + 17439 T^{4} + 43888 T^{5} - 854100 T^{6} - 3942720 T^{7} + 12368239 T^{8} + 287201456 T^{9} + 1198176951 T^{10} - 19075388376 T^{11} - 112969340570 T^{12} + 1015766984472 T^{13} + 6717800645927 T^{14} - 24348070253360 T^{15} - 355137904117416 T^{16} - 1290447723428080 T^{17} + 18870302014408943 T^{18} + 151224341347237944 T^{19} - 891382435350114170 T^{20} - 7977241446067789368 T^{21} + 26556826638408137679 T^{22} + \)\(33\!\cdots\!72\)\( T^{23} + \)\(77\!\cdots\!79\)\( T^{24} - \)\(13\!\cdots\!60\)\( T^{25} - \)\(14\!\cdots\!00\)\( T^{26} + \)\(40\!\cdots\!36\)\( T^{27} + \)\(85\!\cdots\!99\)\( T^{28} - \)\(60\!\cdots\!36\)\( T^{29} - \)\(26\!\cdots\!41\)\( T^{30} + \)\(38\!\cdots\!21\)\( T^{32} \))
$59$ (\( 1 - 12 T + 59 T^{2} \))(\( 1 + 8 T + 59 T^{2} \))(\( 1 - 4 T + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 + 12 T + 59 T^{2} \))(\( 1 + 70 T^{2} + 3481 T^{4} \))(\( 1 - 512 T^{2} + 129182 T^{4} - 21027168 T^{6} + 2445934895 T^{8} - 213538239264 T^{10} + 14323024530052 T^{12} - 743326610877984 T^{14} + 29638276105212095 T^{16} - 886937167198958688 T^{18} + 18967849590601395422 T^{20} - \)\(26\!\cdots\!12\)\( T^{22} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 - 512 T^{2} + 129182 T^{4} - 21027168 T^{6} + 2445934895 T^{8} - 213538239264 T^{10} + 14323024530052 T^{12} - 743326610877984 T^{14} + 29638276105212095 T^{16} - 886937167198958688 T^{18} + 18967849590601395422 T^{20} - \)\(26\!\cdots\!12\)\( T^{22} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 - 200 T^{2} + 27100 T^{4} - 2422584 T^{6} + 167055526 T^{8} - 8433014904 T^{10} + 328380483100 T^{12} - 8436106728200 T^{14} + 146830437604321 T^{16} \))(\( 1 - 200 T^{2} + 27100 T^{4} - 2422584 T^{6} + 167055526 T^{8} - 8433014904 T^{10} + 328380483100 T^{12} - 8436106728200 T^{14} + 146830437604321 T^{16} \))(\( ( 1 - 2 T + 114 T^{2} - 118 T^{3} + 3481 T^{4} )^{2} \))(\( ( 1 + 112 T^{2} + 3481 T^{4} )^{2} \))(\( ( 1 + 10 T^{2} + 3481 T^{4} )^{2} \))(\( ( 1 + 2 T + 114 T^{2} + 118 T^{3} + 3481 T^{4} )^{2} \))(\( ( 1 - 30 T^{2} + 7170 T^{4} - 104430 T^{6} + 12117361 T^{8} )^{2} \))(\( 1 - 12 T + 85 T^{2} - 708 T^{3} + 3481 T^{4} \))(\( 1 + 9 T + 22 T^{2} + 531 T^{3} + 3481 T^{4} \))(\( 1 - 12 T + 85 T^{2} - 708 T^{3} + 3481 T^{4} \))(\( 1 + 7 T - 10 T^{2} + 413 T^{3} + 3481 T^{4} \))(\( 1 - 8 T + 42 T^{2} + 768 T^{3} - 6773 T^{4} + 45312 T^{5} + 146202 T^{6} - 1643032 T^{7} + 12117361 T^{8} \))(\( 1 + 9 T + 141 T^{3} - 864 T^{4} - 30879 T^{5} - 171866 T^{6} - 1821861 T^{7} - 3007584 T^{8} + 28958439 T^{9} + 6434318691 T^{11} + 42180533641 T^{12} \))(\( 1 - 9 T - 48 T^{2} + 867 T^{3} - 96 T^{4} - 25137 T^{5} + 175174 T^{6} - 1483083 T^{7} - 334176 T^{8} + 178063593 T^{9} - 581633328 T^{10} - 6434318691 T^{11} + 42180533641 T^{12} \))(\( 1 + 18 T + 65 T^{2} - 1032 T^{3} - 14171 T^{4} - 60888 T^{5} + 226265 T^{6} + 3696822 T^{7} + 12117361 T^{8} \))(\( 1 - 10 T - 19 T^{2} + 590 T^{3} - 3199 T^{4} + 34810 T^{5} - 66139 T^{6} - 2053790 T^{7} + 12117361 T^{8} \))(\( 1 - 20 T + 181 T^{2} - 1600 T^{3} + 14601 T^{4} - 94400 T^{5} + 630061 T^{6} - 4107580 T^{7} + 12117361 T^{8} \))(\( 1 - 8 T - 35 T^{2} + 362 T^{3} + 429 T^{4} + 21358 T^{5} - 121835 T^{6} - 1643032 T^{7} + 12117361 T^{8} \))(\( 1 - 128 T^{2} + 590 T^{3} + 4403 T^{4} - 64500 T^{5} + 495534 T^{6} + 2274000 T^{7} - 52578895 T^{8} + 134166000 T^{9} + 1724953854 T^{10} - 13246945500 T^{11} + 53352740483 T^{12} + 421805336410 T^{13} - 5399108306048 T^{14} + 146830437604321 T^{16} \))(\( 1 - 12 T + 1020 T^{3} - 7185 T^{4} + 42924 T^{5} - 124798 T^{6} - 3169920 T^{7} + 51049245 T^{8} - 187025280 T^{9} - 434421838 T^{10} + 8815688196 T^{11} - 87063238785 T^{12} + 729222784980 T^{13} - 29863817817828 T^{15} + 146830437604321 T^{16} \))(\( 1 - 10 T + 20 T^{2} - 60 T^{3} + 3799 T^{4} - 42450 T^{5} + 117290 T^{6} - 367120 T^{7} + 8698021 T^{8} - 21660080 T^{9} + 408286490 T^{10} - 8718338550 T^{11} + 46033854439 T^{12} - 42895457940 T^{13} + 843610672820 T^{14} - 24886514848190 T^{15} + 146830437604321 T^{16} \))(\( 1 - 14 T + 40 T^{2} - 602 T^{3} + 10071 T^{4} - 65034 T^{5} + 764262 T^{6} - 5671048 T^{7} + 21642033 T^{8} - 334591832 T^{9} + 2660396022 T^{10} - 13356617886 T^{11} + 122033942631 T^{12} - 430384427998 T^{13} + 1687221345640 T^{14} - 34841120787466 T^{15} + 146830437604321 T^{16} \))(\( 1 + 29 T^{2} - 2640 T^{4} + 100949 T^{6} + 12117361 T^{8} \))(\( 1 - 115 T^{2} + 9744 T^{4} - 400315 T^{6} + 12117361 T^{8} \))(\( 1 - 106 T^{2} + 7755 T^{4} - 368986 T^{6} + 12117361 T^{8} \))(\( 1 - 20 T^{2} - 2054 T^{4} + 90160 T^{6} - 7487645 T^{8} + 313846960 T^{10} - 24889059494 T^{12} - 843610672820 T^{14} + 146830437604321 T^{16} \))(\( 1 - 4 T - 192 T^{2} + 384 T^{3} + 23225 T^{4} - 21480 T^{5} - 1987984 T^{6} + 499988 T^{7} + 132049056 T^{8} + 29499292 T^{9} - 6920172304 T^{10} - 4411540920 T^{11} + 281425709225 T^{12} + 274530930816 T^{13} - 8098662459072 T^{14} - 9954605939276 T^{15} + 146830437604321 T^{16} \))(\( 1 + 4 T - 192 T^{2} - 384 T^{3} + 23225 T^{4} + 21480 T^{5} - 1987984 T^{6} - 499988 T^{7} + 132049056 T^{8} - 29499292 T^{9} - 6920172304 T^{10} + 4411540920 T^{11} + 281425709225 T^{12} - 274530930816 T^{13} - 8098662459072 T^{14} + 9954605939276 T^{15} + 146830437604321 T^{16} \))(\( 1 - 418 T^{2} + 88269 T^{4} - 13237606 T^{6} + 1619563400 T^{8} - 169695635974 T^{10} + 15567898011183 T^{12} - 1277174193111382 T^{14} + 94892351970598027 T^{16} - 6409403040247655580 T^{18} + \)\(39\!\cdots\!04\)\( T^{20} - \)\(22\!\cdots\!80\)\( T^{22} + \)\(11\!\cdots\!47\)\( T^{24} - \)\(53\!\cdots\!62\)\( T^{26} + \)\(22\!\cdots\!43\)\( T^{28} - \)\(86\!\cdots\!74\)\( T^{30} + \)\(28\!\cdots\!00\)\( T^{32} - \)\(81\!\cdots\!66\)\( T^{34} + \)\(19\!\cdots\!29\)\( T^{36} - \)\(31\!\cdots\!78\)\( T^{38} + \)\(26\!\cdots\!01\)\( T^{40} \))(\( ( 1 - 3 T + 62 T^{2} - 177 T^{3} + 3481 T^{4} )^{2} \))(\( ( 1 + 3 T + 62 T^{2} + 177 T^{3} + 3481 T^{4} )^{2} \))(\( ( 1 - 3 T + 62 T^{2} - 177 T^{3} + 3481 T^{4} )^{2} \))(\( ( 1 + 3 T + 62 T^{2} + 177 T^{3} + 3481 T^{4} )^{2} \))(\( 1 + 206 T^{2} + 21291 T^{4} + 23424 T^{5} + 1254962 T^{6} + 4357248 T^{7} + 31229625 T^{8} + 402292608 T^{9} - 1442494564 T^{10} + 17256515712 T^{11} - 185711486594 T^{12} - 179381210496 T^{13} - 9893086439768 T^{14} - 73366314523008 T^{15} - 490118909154734 T^{16} - 4328612556857472 T^{17} - 34437833896832408 T^{18} - 36841133630457984 T^{19} - 2250333124906158434 T^{20} + 12337102398584085888 T^{21} - 60845190483761627524 T^{22} + \)\(10\!\cdots\!52\)\( T^{23} + \)\(45\!\cdots\!25\)\( T^{24} + \)\(37\!\cdots\!72\)\( T^{25} + \)\(64\!\cdots\!62\)\( T^{26} + \)\(70\!\cdots\!16\)\( T^{27} + \)\(37\!\cdots\!71\)\( T^{28} + \)\(12\!\cdots\!66\)\( T^{30} + \)\(21\!\cdots\!41\)\( T^{32} \))(\( 1 + 206 T^{2} + 21291 T^{4} + 23424 T^{5} + 1254962 T^{6} + 4357248 T^{7} + 31229625 T^{8} + 402292608 T^{9} - 1442494564 T^{10} + 17256515712 T^{11} - 185711486594 T^{12} - 179381210496 T^{13} - 9893086439768 T^{14} - 73366314523008 T^{15} - 490118909154734 T^{16} - 4328612556857472 T^{17} - 34437833896832408 T^{18} - 36841133630457984 T^{19} - 2250333124906158434 T^{20} + 12337102398584085888 T^{21} - 60845190483761627524 T^{22} + \)\(10\!\cdots\!52\)\( T^{23} + \)\(45\!\cdots\!25\)\( T^{24} + \)\(37\!\cdots\!72\)\( T^{25} + \)\(64\!\cdots\!62\)\( T^{26} + \)\(70\!\cdots\!16\)\( T^{27} + \)\(37\!\cdots\!71\)\( T^{28} + \)\(12\!\cdots\!66\)\( T^{30} + \)\(21\!\cdots\!41\)\( T^{32} \))
$61$ (\( 1 + 14 T + 61 T^{2} \))(\( 1 - 6 T + 61 T^{2} \))(\( 1 + 14 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 - 10 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( ( 1 - 2 T + 61 T^{2} )^{2} \))(\( 1 - 400 T^{2} + 84782 T^{4} - 12099408 T^{6} + 1290625871 T^{8} - 108134100384 T^{10} + 7314498604516 T^{12} - 402366987528864 T^{14} + 17869800600352511 T^{16} - 623366029706478288 T^{18} + 16253329410535477742 T^{20} - \)\(28\!\cdots\!00\)\( T^{22} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( 1 - 400 T^{2} + 84782 T^{4} - 12099408 T^{6} + 1290625871 T^{8} - 108134100384 T^{10} + 7314498604516 T^{12} - 402366987528864 T^{14} + 17869800600352511 T^{16} - 623366029706478288 T^{18} + 16253329410535477742 T^{20} - \)\(28\!\cdots\!00\)\( T^{22} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( ( 1 - 28 T + 450 T^{2} - 5028 T^{3} + 44226 T^{4} - 306708 T^{5} + 1674450 T^{6} - 6355468 T^{7} + 13845841 T^{8} )^{2} \))(\( ( 1 + 28 T + 450 T^{2} + 5028 T^{3} + 44226 T^{4} + 306708 T^{5} + 1674450 T^{6} + 6355468 T^{7} + 13845841 T^{8} )^{2} \))(\( 1 - 76 T^{2} + 3766 T^{4} - 282796 T^{6} + 13845841 T^{8} \))(\( ( 1 - 68 T^{2} + 3721 T^{4} )^{2} \))(\( ( 1 - 14 T + 61 T^{2} )^{2}( 1 + 14 T + 61 T^{2} )^{2} \))(\( 1 - 76 T^{2} + 3766 T^{4} - 282796 T^{6} + 13845841 T^{8} \))(\( ( 1 - 230 T^{2} + 20650 T^{4} - 855830 T^{6} + 13845841 T^{8} )^{2} \))(\( 1 - 5 T - 36 T^{2} - 305 T^{3} + 3721 T^{4} \))(\( 1 - 10 T + 39 T^{2} - 610 T^{3} + 3721 T^{4} \))(\( 1 + 5 T - 36 T^{2} + 305 T^{3} + 3721 T^{4} \))(\( 1 + 6 T - 25 T^{2} + 366 T^{3} + 3721 T^{4} \))(\( 1 + 8 T - 11 T^{2} - 376 T^{3} - 2000 T^{4} - 22936 T^{5} - 40931 T^{6} + 1815848 T^{7} + 13845841 T^{8} \))(\( 1 - 6 T - 18 T^{2} + 688 T^{3} - 3414 T^{4} - 10122 T^{5} + 398166 T^{6} - 617442 T^{7} - 12703494 T^{8} + 156162928 T^{9} - 249225138 T^{10} - 5067577806 T^{11} + 51520374361 T^{12} \))(\( 1 - 6 T - 84 T^{2} + 940 T^{3} + 2100 T^{4} - 34086 T^{5} + 130506 T^{6} - 2079246 T^{7} + 7814100 T^{8} + 213362140 T^{9} - 1163050644 T^{10} - 5067577806 T^{11} + 51520374361 T^{12} \))(\( ( 1 - T - 29 T^{2} - 61 T^{3} + 3721 T^{4} )( 1 - T + 91 T^{2} - 61 T^{3} + 3721 T^{4} ) \))(\( 1 - 61 T^{2} + 3721 T^{4} - 226981 T^{6} + 13845841 T^{8} \))(\( 1 - 2 T + 3 T^{2} + 326 T^{3} + 1265 T^{4} + 19886 T^{5} + 11163 T^{6} - 453962 T^{7} + 13845841 T^{8} \))(\( 1 - 24 T + 315 T^{2} - 3346 T^{3} + 29589 T^{4} - 204106 T^{5} + 1172115 T^{6} - 5447544 T^{7} + 13845841 T^{8} \))(\( 1 + 34 T + 440 T^{2} + 2590 T^{3} + 11615 T^{4} + 181262 T^{5} + 2141538 T^{6} + 10457720 T^{7} + 32037945 T^{8} + 637920920 T^{9} + 7968662898 T^{10} + 41143030022 T^{11} + 160819443215 T^{12} + 2187504419590 T^{13} + 22668964718840 T^{14} + 106853256424714 T^{15} + 191707312997281 T^{16} \))(\( 1 + 32 T + 336 T^{2} - 152 T^{3} - 36929 T^{4} - 385904 T^{5} - 1165726 T^{6} + 16962464 T^{7} + 238701677 T^{8} + 1034710304 T^{9} - 4337666446 T^{10} - 87592875824 T^{11} - 511313062289 T^{12} - 128378637752 T^{13} + 17310845785296 T^{14} + 100567770752672 T^{15} + 191707312997281 T^{16} \))(\( 1 - 26 T + 340 T^{2} - 3640 T^{3} + 34415 T^{4} - 294698 T^{5} + 2725358 T^{6} - 24412480 T^{7} + 195676405 T^{8} - 1489161280 T^{9} + 10141057118 T^{10} - 66890846738 T^{11} + 476504618015 T^{12} - 3074330535640 T^{13} + 17516927282740 T^{14} - 81711313736546 T^{15} + 191707312997281 T^{16} \))(\( 1 + 12 T + 16 T^{2} - 102 T^{3} + 371 T^{4} - 12504 T^{5} + 89294 T^{6} + 924264 T^{7} - 3135143 T^{8} + 56380104 T^{9} + 332262974 T^{10} - 2838170424 T^{11} + 5136807011 T^{12} - 86148822702 T^{13} + 824325989776 T^{14} + 37712914032252 T^{15} + 191707312997281 T^{16} \))(\( ( 1 - 18 T + 169 T^{2} - 1098 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 + 6 T + 73 T^{2} + 366 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 - 9 T + 88 T^{2} - 549 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 + 6 T + 131 T^{2} + 714 T^{3} + 11172 T^{4} + 43554 T^{5} + 487451 T^{6} + 1361886 T^{7} + 13845841 T^{8} )^{2} \))(\( 1 + 36 T + 778 T^{2} + 12456 T^{3} + 160329 T^{4} + 1737360 T^{5} + 16608362 T^{6} + 143837652 T^{7} + 1158977252 T^{8} + 8774096772 T^{9} + 61799715002 T^{10} + 394347710160 T^{11} + 2219889841689 T^{12} + 10520291525256 T^{13} + 40082851252858 T^{14} + 113138742096756 T^{15} + 191707312997281 T^{16} \))(\( 1 + 36 T + 778 T^{2} + 12456 T^{3} + 160329 T^{4} + 1737360 T^{5} + 16608362 T^{6} + 143837652 T^{7} + 1158977252 T^{8} + 8774096772 T^{9} + 61799715002 T^{10} + 394347710160 T^{11} + 2219889841689 T^{12} + 10520291525256 T^{13} + 40082851252858 T^{14} + 113138742096756 T^{15} + 191707312997281 T^{16} \))(\( ( 1 - 21 T + 366 T^{2} - 4599 T^{3} + 49662 T^{4} - 480303 T^{5} + 4201020 T^{6} - 35448507 T^{7} + 285032553 T^{8} - 2251615554 T^{9} + 17661732796 T^{10} - 137348548794 T^{11} + 1060606129713 T^{12} - 8046137567367 T^{13} + 58166654957820 T^{14} - 405662137159203 T^{15} + 2558604831515982 T^{16} - 14453474302860579 T^{17} + 70164876557004846 T^{18} - 245577067949516961 T^{19} + 713342911662882601 T^{20} )^{2} \))(\( ( 1 - 13 T + 61 T^{2} )^{2}( 1 + T + 61 T^{2} )^{2} \))(\( ( 1 - T + 61 T^{2} )^{2}( 1 + 13 T + 61 T^{2} )^{2} \))(\( ( 1 - T + 61 T^{2} )^{2}( 1 + 13 T + 61 T^{2} )^{2} \))(\( ( 1 - 13 T + 61 T^{2} )^{2}( 1 + T + 61 T^{2} )^{2} \))(\( 1 - 28 T + 132 T^{2} + 3320 T^{3} - 30797 T^{4} - 260388 T^{5} + 3451164 T^{6} + 15800648 T^{7} - 264155963 T^{8} - 1067754516 T^{9} + 18055205512 T^{10} + 72082988252 T^{11} - 1214227077978 T^{12} - 4021253438196 T^{13} + 85128658602288 T^{14} + 82671310258548 T^{15} - 5243239011871242 T^{16} + 5042949925771428 T^{17} + 316763738659113648 T^{18} - 912748126655166276 T^{19} - 16811995059577989498 T^{20} + 60881025242665655852 T^{21} + \)\(93\!\cdots\!32\)\( T^{22} - \)\(33\!\cdots\!36\)\( T^{23} - \)\(50\!\cdots\!03\)\( T^{24} + \)\(18\!\cdots\!68\)\( T^{25} + \)\(24\!\cdots\!64\)\( T^{26} - \)\(11\!\cdots\!68\)\( T^{27} - \)\(81\!\cdots\!37\)\( T^{28} + \)\(53\!\cdots\!20\)\( T^{29} + \)\(13\!\cdots\!12\)\( T^{30} - \)\(16\!\cdots\!28\)\( T^{31} + \)\(36\!\cdots\!61\)\( T^{32} \))(\( 1 + 28 T + 132 T^{2} - 3320 T^{3} - 30797 T^{4} + 260388 T^{5} + 3451164 T^{6} - 15800648 T^{7} - 264155963 T^{8} + 1067754516 T^{9} + 18055205512 T^{10} - 72082988252 T^{11} - 1214227077978 T^{12} + 4021253438196 T^{13} + 85128658602288 T^{14} - 82671310258548 T^{15} - 5243239011871242 T^{16} - 5042949925771428 T^{17} + 316763738659113648 T^{18} + 912748126655166276 T^{19} - 16811995059577989498 T^{20} - 60881025242665655852 T^{21} + \)\(93\!\cdots\!32\)\( T^{22} + \)\(33\!\cdots\!36\)\( T^{23} - \)\(50\!\cdots\!03\)\( T^{24} - \)\(18\!\cdots\!68\)\( T^{25} + \)\(24\!\cdots\!64\)\( T^{26} + \)\(11\!\cdots\!68\)\( T^{27} - \)\(81\!\cdots\!37\)\( T^{28} - \)\(53\!\cdots\!20\)\( T^{29} + \)\(13\!\cdots\!12\)\( T^{30} + \)\(16\!\cdots\!28\)\( T^{31} + \)\(36\!\cdots\!61\)\( T^{32} \))
$67$ (\( 1 - 4 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 - 12 T + 67 T^{2} \))(\( 1 - 16 T + 150 T^{2} - 1072 T^{3} + 4489 T^{4} \))(\( ( 1 - 12 T + 290 T^{2} - 2804 T^{3} + 40599 T^{4} - 316472 T^{5} + 3391388 T^{6} - 21203624 T^{7} + 182248911 T^{8} - 843339452 T^{9} + 5843825090 T^{10} - 16201501284 T^{11} + 90458382169 T^{12} )^{2} \))(\( ( 1 - 12 T + 290 T^{2} - 2804 T^{3} + 40599 T^{4} - 316472 T^{5} + 3391388 T^{6} - 21203624 T^{7} + 182248911 T^{8} - 843339452 T^{9} + 5843825090 T^{10} - 16201501284 T^{11} + 90458382169 T^{12} )^{2} \))(\( ( 1 - 8 T + 96 T^{2} - 360 T^{3} + 6510 T^{4} - 24120 T^{5} + 430944 T^{6} - 2406104 T^{7} + 20151121 T^{8} )^{2} \))(\( ( 1 - 8 T + 96 T^{2} - 360 T^{3} + 6510 T^{4} - 24120 T^{5} + 430944 T^{6} - 2406104 T^{7} + 20151121 T^{8} )^{2} \))(\( ( 1 - 12 T + 150 T^{2} - 804 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 + 4 T + 67 T^{2} )^{4} \))(\( ( 1 + 4 T + 67 T^{2} )^{4} \))(\( ( 1 - 12 T + 150 T^{2} - 804 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 + 12 T + 67 T^{2} )^{8} \))(\( ( 1 - 11 T + 67 T^{2} )( 1 + 16 T + 67 T^{2} ) \))(\( 1 - 4 T - 51 T^{2} - 268 T^{3} + 4489 T^{4} \))(\( ( 1 - 11 T + 67 T^{2} )( 1 + 16 T + 67 T^{2} ) \))(\( 1 - 4 T - 51 T^{2} - 268 T^{3} + 4489 T^{4} \))(\( 1 - 6 T + 5 T^{2} + 618 T^{3} - 5940 T^{4} + 41406 T^{5} + 22445 T^{6} - 1804578 T^{7} + 20151121 T^{8} \))(\( 1 + 6 T - 150 T^{2} - 324 T^{3} + 17814 T^{4} + 11310 T^{5} - 1359610 T^{6} + 757770 T^{7} + 79967046 T^{8} - 97447212 T^{9} - 3022668150 T^{10} + 8100750642 T^{11} + 90458382169 T^{12} \))(\( 1 + 6 T - 102 T^{2} - 356 T^{3} + 6246 T^{4} - 2322 T^{5} - 485562 T^{6} - 155574 T^{7} + 28038294 T^{8} - 107071628 T^{9} - 2055414342 T^{10} + 8100750642 T^{11} + 90458382169 T^{12} \))(\( ( 1 + 16 T + 178 T^{2} + 1072 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 - 4 T + 67 T^{2} )^{4} \))(\( ( 1 - 2 T + 130 T^{2} - 134 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 + 2 T + 10 T^{2} + 134 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 + 12 T + 210 T^{2} + 1848 T^{3} + 19566 T^{4} + 123816 T^{5} + 942690 T^{6} + 3609156 T^{7} + 20151121 T^{8} )^{2} \))(\( ( 1 + 24 T + 394 T^{2} + 4608 T^{3} + 43494 T^{4} + 308736 T^{5} + 1768666 T^{6} + 7218312 T^{7} + 20151121 T^{8} )^{2} \))(\( ( 1 - 2 T + 126 T^{2} - 574 T^{3} + 10502 T^{4} - 38458 T^{5} + 565614 T^{6} - 601526 T^{7} + 20151121 T^{8} )^{2} \))(\( ( 1 + 6 T + 194 T^{2} + 982 T^{3} + 18534 T^{4} + 65794 T^{5} + 870866 T^{6} + 1804578 T^{7} + 20151121 T^{8} )^{2} \))(\( ( 1 - 11 T + 67 T^{2} )^{2}( 1 - 5 T + 67 T^{2} )^{2} \))(\( ( 1 + 8 T - 3 T^{2} + 536 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 - 11 T + 67 T^{2} )^{2}( 1 + 16 T + 67 T^{2} )^{2} \))(\( ( 1 + 10 T + 13 T^{2} - 470 T^{3} - 3620 T^{4} - 31490 T^{5} + 58357 T^{6} + 3007630 T^{7} + 20151121 T^{8} )^{2} \))(\( 1 - 12 T - 120 T^{2} + 1104 T^{3} + 17593 T^{4} - 71712 T^{5} - 1773000 T^{6} + 1190772 T^{7} + 148629888 T^{8} + 79781724 T^{9} - 7958997000 T^{10} - 21568316256 T^{11} + 354518671753 T^{12} + 1490538118128 T^{13} - 10855005860280 T^{14} - 72728539263876 T^{15} + 406067677556641 T^{16} \))(\( 1 - 12 T - 120 T^{2} + 1104 T^{3} + 17593 T^{4} - 71712 T^{5} - 1773000 T^{6} + 1190772 T^{7} + 148629888 T^{8} + 79781724 T^{9} - 7958997000 T^{10} - 21568316256 T^{11} + 354518671753 T^{12} + 1490538118128 T^{13} - 10855005860280 T^{14} - 72728539263876 T^{15} + 406067677556641 T^{16} \))(\( ( 1 + 5 T - 166 T^{2} + 267 T^{3} + 19418 T^{4} - 84027 T^{5} - 774710 T^{6} + 10549095 T^{7} - 4212751 T^{8} - 269834460 T^{9} + 3800526688 T^{10} - 18078908820 T^{11} - 18911039239 T^{12} + 3172777459485 T^{13} - 15611274949910 T^{14} - 113446962365889 T^{15} + 1756520864957642 T^{16} + 1618209998621241 T^{17} - 67407234474402406 T^{18} + 136032671981474735 T^{19} + 1822837804551761449 T^{20} )^{2} \))(\( 1 - 2 T - 74 T^{2} + 112 T^{3} + 1327 T^{4} + 7504 T^{5} - 332186 T^{6} - 601526 T^{7} + 20151121 T^{8} \))(\( 1 - 2 T - 74 T^{2} + 112 T^{3} + 1327 T^{4} + 7504 T^{5} - 332186 T^{6} - 601526 T^{7} + 20151121 T^{8} \))(\( 1 - 2 T - 74 T^{2} + 112 T^{3} + 1327 T^{4} + 7504 T^{5} - 332186 T^{6} - 601526 T^{7} + 20151121 T^{8} \))(\( 1 - 2 T - 74 T^{2} + 112 T^{3} + 1327 T^{4} + 7504 T^{5} - 332186 T^{6} - 601526 T^{7} + 20151121 T^{8} \))(\( 1 + 16 T - 186 T^{2} - 4088 T^{3} + 17155 T^{4} + 531672 T^{5} - 1174782 T^{6} - 45150464 T^{7} + 109860217 T^{8} + 2760233088 T^{9} - 14334854684 T^{10} - 130824947456 T^{11} + 1614095177022 T^{12} + 4879888122672 T^{13} - 143662297955568 T^{14} - 102109742962512 T^{15} + 10522512537183234 T^{16} - 6841352778488304 T^{17} - 644900055522544752 T^{18} + 1467689791439198736 T^{19} + 32525827217686741662 T^{20} - \)\(17\!\cdots\!92\)\( T^{21} - \)\(12\!\cdots\!96\)\( T^{22} + \)\(16\!\cdots\!24\)\( T^{23} + \)\(44\!\cdots\!97\)\( T^{24} - \)\(12\!\cdots\!08\)\( T^{25} - \)\(21\!\cdots\!18\)\( T^{26} + \)\(64\!\cdots\!76\)\( T^{27} + \)\(14\!\cdots\!55\)\( T^{28} - \)\(22\!\cdots\!56\)\( T^{29} - \)\(68\!\cdots\!94\)\( T^{30} + \)\(39\!\cdots\!88\)\( T^{31} + \)\(16\!\cdots\!81\)\( T^{32} \))(\( 1 + 16 T - 186 T^{2} - 4088 T^{3} + 17155 T^{4} + 531672 T^{5} - 1174782 T^{6} - 45150464 T^{7} + 109860217 T^{8} + 2760233088 T^{9} - 14334854684 T^{10} - 130824947456 T^{11} + 1614095177022 T^{12} + 4879888122672 T^{13} - 143662297955568 T^{14} - 102109742962512 T^{15} + 10522512537183234 T^{16} - 6841352778488304 T^{17} - 644900055522544752 T^{18} + 1467689791439198736 T^{19} + 32525827217686741662 T^{20} - \)\(17\!\cdots\!92\)\( T^{21} - \)\(12\!\cdots\!96\)\( T^{22} + \)\(16\!\cdots\!24\)\( T^{23} + \)\(44\!\cdots\!97\)\( T^{24} - \)\(12\!\cdots\!08\)\( T^{25} - \)\(21\!\cdots\!18\)\( T^{26} + \)\(64\!\cdots\!76\)\( T^{27} + \)\(14\!\cdots\!55\)\( T^{28} - \)\(22\!\cdots\!56\)\( T^{29} - \)\(68\!\cdots\!94\)\( T^{30} + \)\(39\!\cdots\!88\)\( T^{31} + \)\(16\!\cdots\!81\)\( T^{32} \))
$71$ (\( 1 - 12 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 4 T + 71 T^{2} \))(\( 1 - 16 T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 - 8 T + 71 T^{2} \))(\( ( 1 + 12 T + 71 T^{2} )^{2} \))(\( 1 - 236 T^{2} + 33442 T^{4} - 3917692 T^{6} + 403603343 T^{8} - 34791049688 T^{10} + 2612102774620 T^{12} - 175381681477208 T^{14} + 10256239402849583 T^{16} - 501857457515030332 T^{18} + 21595289591920739362 T^{20} - \)\(76\!\cdots\!36\)\( T^{22} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( 1 - 236 T^{2} + 33442 T^{4} - 3917692 T^{6} + 403603343 T^{8} - 34791049688 T^{10} + 2612102774620 T^{12} - 175381681477208 T^{14} + 10256239402849583 T^{16} - 501857457515030332 T^{18} + 21595289591920739362 T^{20} - \)\(76\!\cdots\!36\)\( T^{22} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( ( 1 - 4 T + 62 T^{2} + 508 T^{3} - 2694 T^{4} + 36068 T^{5} + 312542 T^{6} - 1431644 T^{7} + 25411681 T^{8} )^{2} \))(\( ( 1 - 4 T + 62 T^{2} + 508 T^{3} - 2694 T^{4} + 36068 T^{5} + 312542 T^{6} - 1431644 T^{7} + 25411681 T^{8} )^{2} \))(\( 1 + 16 T^{2} - 2354 T^{4} + 80656 T^{6} + 25411681 T^{8} \))(\( ( 1 - 71 T^{2} )^{4} \))(\( ( 1 - 106 T^{2} + 5041 T^{4} )^{2} \))(\( 1 + 16 T^{2} - 2354 T^{4} + 80656 T^{6} + 25411681 T^{8} \))(\( ( 1 + 40 T^{2} + 4974 T^{4} + 201640 T^{6} + 25411681 T^{8} )^{2} \))(\( ( 1 - 4 T + 71 T^{2} )^{2} \))(\( ( 1 - 3 T + 71 T^{2} )^{2} \))(\( ( 1 - 12 T + 71 T^{2} )^{2} \))(\( ( 1 + 15 T + 71 T^{2} )^{2} \))(\( ( 1 + 16 T + 178 T^{2} + 1136 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 - 3 T + 189 T^{2} - 362 T^{3} + 13419 T^{4} - 15123 T^{5} + 357911 T^{6} )^{2} \))(\( ( 1 - 9 T + 105 T^{2} - 1170 T^{3} + 7455 T^{4} - 45369 T^{5} + 357911 T^{6} )^{2} \))(\( 1 - 12 T + 73 T^{2} - 24 T^{3} - 4895 T^{4} - 1704 T^{5} + 367993 T^{6} - 4294932 T^{7} + 25411681 T^{8} \))(\( 1 - 12 T + 73 T^{2} - 24 T^{3} - 4895 T^{4} - 1704 T^{5} + 367993 T^{6} - 4294932 T^{7} + 25411681 T^{8} \))(\( 1 + 16 T + 25 T^{2} - 916 T^{3} - 9471 T^{4} - 65036 T^{5} + 126025 T^{6} + 5726576 T^{7} + 25411681 T^{8} \))(\( ( 1 - 9 T + 11 T^{2} - 639 T^{3} + 5041 T^{4} )( 1 + T - 9 T^{2} + 71 T^{3} + 5041 T^{4} ) \))(\( 1 - 98 T^{2} - 1180 T^{3} + 2723 T^{4} + 115440 T^{5} + 800604 T^{6} - 4163760 T^{7} - 89441035 T^{8} - 295626960 T^{9} + 4035844764 T^{10} + 41317245840 T^{11} + 69196007363 T^{12} - 2128990634180 T^{13} - 12553827824258 T^{14} + 645753531245761 T^{16} \))(\( ( 1 - 2 T + 53 T^{2} - 344 T^{3} + 6125 T^{4} - 24424 T^{5} + 267173 T^{6} - 715822 T^{7} + 25411681 T^{8} )^{2} \))(\( 1 + 16 T + 110 T^{2} + 360 T^{3} - 2765 T^{4} - 56592 T^{5} - 98932 T^{6} + 2943520 T^{7} + 35567845 T^{8} + 208989920 T^{9} - 498716212 T^{10} - 20254899312 T^{11} - 70263297965 T^{12} + 649522566360 T^{13} + 14091031231310 T^{14} + 145521922534256 T^{15} + 645753531245761 T^{16} \))(\( 1 - 4 T + 14 T^{2} + 208 T^{3} - 1165 T^{4} - 20804 T^{5} + 124380 T^{6} + 2925920 T^{7} - 32881659 T^{8} + 207740320 T^{9} + 626999580 T^{10} - 7445980444 T^{11} - 29604608365 T^{12} + 375279705008 T^{13} + 1793403974894 T^{14} - 36380480633564 T^{15} + 645753531245761 T^{16} \))(\( ( 1 + 83 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 - 61 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 - 71 T^{2} )^{4} \))(\( ( 1 - 106 T^{2} + 5041 T^{4} )^{4} \))(\( 1 - 508 T^{2} + 116676 T^{4} - 15808268 T^{6} + 1381269674 T^{8} - 79689478988 T^{10} + 2964933292356 T^{12} - 65074944231868 T^{14} + 645753531245761 T^{16} \))(\( 1 - 508 T^{2} + 116676 T^{4} - 15808268 T^{6} + 1381269674 T^{8} - 79689478988 T^{10} + 2964933292356 T^{12} - 65074944231868 T^{14} + 645753531245761 T^{16} \))(\( ( 1 - 410 T^{2} + 80493 T^{4} - 10355376 T^{6} + 1004280390 T^{8} - 78592775460 T^{10} + 5062577445990 T^{12} - 263147511547056 T^{14} + 10311176153653053 T^{16} - 264758947810762010 T^{18} + 3255243551009881201 T^{20} )^{2} \))(\( 1 - 153 T^{2} + 14780 T^{4} - 771273 T^{6} + 25411681 T^{8} \))(\( 1 - 153 T^{2} + 14780 T^{4} - 771273 T^{6} + 25411681 T^{8} \))(\( 1 - 153 T^{2} + 14780 T^{4} - 771273 T^{6} + 25411681 T^{8} \))(\( 1 - 153 T^{2} + 14780 T^{4} - 771273 T^{6} + 25411681 T^{8} \))(\( ( 1 + 28 T + 665 T^{2} + 9556 T^{3} + 124346 T^{4} + 1164764 T^{5} + 10825387 T^{6} + 79684020 T^{7} + 712940082 T^{8} + 5657565420 T^{9} + 54570775867 T^{10} + 416881848004 T^{11} + 3159840885626 T^{12} + 17241215678156 T^{13} + 85186688807465 T^{14} + 254663364434948 T^{15} + 645753531245761 T^{16} )^{2} \))(\( ( 1 + 28 T + 665 T^{2} + 9556 T^{3} + 124346 T^{4} + 1164764 T^{5} + 10825387 T^{6} + 79684020 T^{7} + 712940082 T^{8} + 5657565420 T^{9} + 54570775867 T^{10} + 416881848004 T^{11} + 3159840885626 T^{12} + 17241215678156 T^{13} + 85186688807465 T^{14} + 254663364434948 T^{15} + 645753531245761 T^{16} )^{2} \))
$73$ (\( 1 - 6 T + 73 T^{2} \))(\( 1 + 12 T + 73 T^{2} \))(\( 1 + 14 T + 73 T^{2} \))(\( 1 - 12 T + 73 T^{2} \))(\( 1 + 73 T^{2} \))(\( 1 + 4 T + 73 T^{2} \))(\( 1 - 6 T + 73 T^{2} \))(\( 1 + 8 T + 150 T^{2} + 584 T^{3} + 5329 T^{4} \))(\( 1 - 596 T^{2} + 174062 T^{4} - 32913828 T^{6} + 4498004879 T^{8} - 469575088008 T^{10} + 38508946290436 T^{12} - 2502365643994632 T^{14} + 127735426573017839 T^{16} - 4980988694589224292 T^{18} + \)\(14\!\cdots\!22\)\( T^{20} - \)\(25\!\cdots\!04\)\( T^{22} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 - 596 T^{2} + 174062 T^{4} - 32913828 T^{6} + 4498004879 T^{8} - 469575088008 T^{10} + 38508946290436 T^{12} - 2502365643994632 T^{14} + 127735426573017839 T^{16} - 4980988694589224292 T^{18} + \)\(14\!\cdots\!22\)\( T^{20} - \)\(25\!\cdots\!04\)\( T^{22} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( ( 1 + 2 T + 270 T^{2} + 438 T^{3} + 28826 T^{4} + 31974 T^{5} + 1438830 T^{6} + 778034 T^{7} + 28398241 T^{8} )^{2} \))(\( ( 1 - 2 T + 270 T^{2} - 438 T^{3} + 28826 T^{4} - 31974 T^{5} + 1438830 T^{6} - 778034 T^{7} + 28398241 T^{8} )^{2} \))(\( 1 - 24 T^{2} + 6302 T^{4} - 127896 T^{6} + 28398241 T^{8} \))(\( ( 1 - 122 T^{2} + 5329 T^{4} )^{2} \))(\( ( 1 - 98 T^{2} + 5329 T^{4} )^{2} \))(\( 1 - 24 T^{2} + 6302 T^{4} - 127896 T^{6} + 28398241 T^{8} \))(\( ( 1 - 108 T^{2} + 13302 T^{4} - 575532 T^{6} + 28398241 T^{8} )^{2} \))(\( 1 + 12 T + 71 T^{2} + 876 T^{3} + 5329 T^{4} \))(\( 1 - 4 T - 57 T^{2} - 292 T^{3} + 5329 T^{4} \))(\( 1 - 16 T + 183 T^{2} - 1168 T^{3} + 5329 T^{4} \))(\( 1 + 12 T + 71 T^{2} + 876 T^{3} + 5329 T^{4} \))(\( 1 - 20 T + 182 T^{2} - 1440 T^{3} + 12995 T^{4} - 105120 T^{5} + 969878 T^{6} - 7780340 T^{7} + 28398241 T^{8} \))(\( 1 - 123 T^{2} - 384 T^{3} + 6150 T^{4} + 23616 T^{5} - 289519 T^{6} + 1723968 T^{7} + 32773350 T^{8} - 149382528 T^{9} - 3492983643 T^{10} + 151334226289 T^{12} \))(\( 1 - 99 T^{2} - 960 T^{3} + 2574 T^{4} + 47520 T^{5} + 292961 T^{6} + 3468960 T^{7} + 13716846 T^{8} - 373456320 T^{9} - 2811425859 T^{10} + 151334226289 T^{12} \))(\( 1 + 26 T + 203 T^{2} - 260 T^{3} - 12299 T^{4} - 18980 T^{5} + 1081787 T^{6} + 10114442 T^{7} + 28398241 T^{8} \))(\( 1 + 10 T + 87 T^{2} + 1130 T^{3} + 14489 T^{4} + 82490 T^{5} + 463623 T^{6} + 3890170 T^{7} + 28398241 T^{8} \))(\( 1 - 8 T - 9 T^{2} + 656 T^{3} - 4591 T^{4} + 47888 T^{5} - 47961 T^{6} - 3112136 T^{7} + 28398241 T^{8} \))(\( 1 - 24 T + 303 T^{2} - 3370 T^{3} + 33261 T^{4} - 246010 T^{5} + 1614687 T^{6} - 9336408 T^{7} + 28398241 T^{8} \))(\( 1 - 60 T^{2} - 130 T^{3} + 4971 T^{4} + 47100 T^{5} - 144550 T^{6} - 297320 T^{7} + 13172041 T^{8} - 21704360 T^{9} - 770306950 T^{10} + 18322700700 T^{11} + 141167656011 T^{12} - 269499307090 T^{13} - 9080053577340 T^{14} + 806460091894081 T^{16} \))(\( 1 - 176 T^{2} + 11127 T^{4} + 363242 T^{6} - 76363075 T^{8} + 1935716618 T^{10} + 315987227607 T^{12} - 26634823826864 T^{14} + 806460091894081 T^{16} \))(\( 1 + 2 T + 4 T^{2} + 304 T^{3} - 4489 T^{4} - 57454 T^{5} + 69230 T^{6} + 2015200 T^{7} - 11723483 T^{8} + 147109600 T^{9} + 368926670 T^{10} - 22350582718 T^{11} - 127479703849 T^{12} + 630213764272 T^{13} + 605336905156 T^{14} + 22094797038194 T^{15} + 806460091894081 T^{16} \))(\( 1 + 34 T + 612 T^{2} + 8714 T^{3} + 113287 T^{4} + 1346126 T^{5} + 14342966 T^{6} + 137359768 T^{7} + 1211730857 T^{8} + 10027263064 T^{9} + 76433665814 T^{10} + 523665898142 T^{11} + 3217151528167 T^{12} + 18064745861402 T^{13} + 92616546488868 T^{14} + 375611549649298 T^{15} + 806460091894081 T^{16} \))(\( ( 1 + 7 T + 73 T^{2} )^{2}( 1 + 17 T + 73 T^{2} )^{2} \))(\( ( 1 - 17 T + 73 T^{2} )^{2}( 1 - 7 T + 73 T^{2} )^{2} \))(\( ( 1 + 18 T + 181 T^{2} + 1314 T^{3} + 5329 T^{4} )^{2} \))(\( ( 1 + 12 T + 182 T^{2} + 1608 T^{3} + 16131 T^{4} + 117384 T^{5} + 969878 T^{6} + 4668204 T^{7} + 28398241 T^{8} )^{2} \))(\( 1 - 48 T + 1278 T^{2} - 24480 T^{3} + 372364 T^{4} - 4756308 T^{5} + 52897860 T^{6} - 524375184 T^{7} + 4699695243 T^{8} - 38279388432 T^{9} + 281892695940 T^{10} - 1850284669236 T^{11} + 10574482611724 T^{12} - 50748792596640 T^{13} + 193405141197342 T^{14} - 530275128916656 T^{15} + 806460091894081 T^{16} \))(\( 1 - 48 T + 1278 T^{2} - 24480 T^{3} + 372364 T^{4} - 4756308 T^{5} + 52897860 T^{6} - 524375184 T^{7} + 4699695243 T^{8} - 38279388432 T^{9} + 281892695940 T^{10} - 1850284669236 T^{11} + 10574482611724 T^{12} - 50748792596640 T^{13} + 193405141197342 T^{14} - 530275128916656 T^{15} + 806460091894081 T^{16} \))(\( ( 1 - 6 T + 151 T^{2} - 834 T^{3} + 13543 T^{4} - 50460 T^{5} + 491034 T^{6} + 980904 T^{7} - 21146605 T^{8} + 416825838 T^{9} - 4667757361 T^{10} + 30428286174 T^{11} - 112690258045 T^{12} + 381588331368 T^{13} + 13944501871194 T^{14} - 104607192582780 T^{15} + 2049519426631927 T^{16} - 9213530364926898 T^{17} + 121775473876006231 T^{18} - 353229520249607478 T^{19} + 4297625829703557649 T^{20} )^{2} \))(\( 1 + 12 T + 130 T^{2} + 984 T^{3} + 4899 T^{4} + 71832 T^{5} + 692770 T^{6} + 4668204 T^{7} + 28398241 T^{8} \))(\( 1 - 12 T + 130 T^{2} - 984 T^{3} + 4899 T^{4} - 71832 T^{5} + 692770 T^{6} - 4668204 T^{7} + 28398241 T^{8} \))(\( 1 - 12 T + 130 T^{2} - 984 T^{3} + 4899 T^{4} - 71832 T^{5} + 692770 T^{6} - 4668204 T^{7} + 28398241 T^{8} \))(\( 1 + 12 T + 130 T^{2} + 984 T^{3} + 4899 T^{4} + 71832 T^{5} + 692770 T^{6} + 4668204 T^{7} + 28398241 T^{8} \))(\( 1 + 44 T + 732 T^{2} + 5000 T^{3} + 5052 T^{4} - 60564 T^{5} - 1170168 T^{6} - 30721884 T^{7} - 151939238 T^{8} + 1947541152 T^{9} + 15985812484 T^{10} + 23523632180 T^{11} + 1180237150256 T^{12} + 10207425497860 T^{13} - 40635532820892 T^{14} + 79264670270400 T^{15} + 8440882624589587 T^{16} + 5786320929739200 T^{17} - 216546754402533468 T^{18} + 3970862044901003620 T^{19} + 33516659030123099696 T^{20} + 48766173636538662740 T^{21} + \)\(24\!\cdots\!76\)\( T^{22} + \)\(21\!\cdots\!44\)\( T^{23} - \)\(12\!\cdots\!78\)\( T^{24} - \)\(18\!\cdots\!92\)\( T^{25} - \)\(50\!\cdots\!32\)\( T^{26} - \)\(19\!\cdots\!28\)\( T^{27} + \)\(11\!\cdots\!92\)\( T^{28} + \)\(83\!\cdots\!00\)\( T^{29} + \)\(89\!\cdots\!88\)\( T^{30} + \)\(39\!\cdots\!08\)\( T^{31} + \)\(65\!\cdots\!61\)\( T^{32} \))(\( 1 - 44 T + 732 T^{2} - 5000 T^{3} + 5052 T^{4} + 60564 T^{5} - 1170168 T^{6} + 30721884 T^{7} - 151939238 T^{8} - 1947541152 T^{9} + 15985812484 T^{10} - 23523632180 T^{11} + 1180237150256 T^{12} - 10207425497860 T^{13} - 40635532820892 T^{14} - 79264670270400 T^{15} + 8440882624589587 T^{16} - 5786320929739200 T^{17} - 216546754402533468 T^{18} - 3970862044901003620 T^{19} + 33516659030123099696 T^{20} - 48766173636538662740 T^{21} + \)\(24\!\cdots\!76\)\( T^{22} - \)\(21\!\cdots\!44\)\( T^{23} - \)\(12\!\cdots\!78\)\( T^{24} + \)\(18\!\cdots\!92\)\( T^{25} - \)\(50\!\cdots\!32\)\( T^{26} + \)\(19\!\cdots\!28\)\( T^{27} + \)\(11\!\cdots\!92\)\( T^{28} - \)\(83\!\cdots\!00\)\( T^{29} + \)\(89\!\cdots\!88\)\( T^{30} - \)\(39\!\cdots\!08\)\( T^{31} + \)\(65\!\cdots\!61\)\( T^{32} \))
$79$ (\( 1 + 79 T^{2} \))(\( 1 + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 + 16 T + 79 T^{2} \))(\( 1 + 16 T + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 + 8 T + 126 T^{2} + 632 T^{3} + 6241 T^{4} \))(\( 1 - 716 T^{2} + 243970 T^{4} - 52591388 T^{6} + 8041791791 T^{8} - 925338514072 T^{10} + 82599920280348 T^{12} - 5775037666323352 T^{14} + 313228441644585071 T^{16} - 12784306691237653148 T^{18} + \)\(37\!\cdots\!70\)\( T^{20} - \)\(67\!\cdots\!16\)\( T^{22} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 - 716 T^{2} + 243970 T^{4} - 52591388 T^{6} + 8041791791 T^{8} - 925338514072 T^{10} + 82599920280348 T^{12} - 5775037666323352 T^{14} + 313228441644585071 T^{16} - 12784306691237653148 T^{18} + \)\(37\!\cdots\!70\)\( T^{20} - \)\(67\!\cdots\!16\)\( T^{22} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 - 332 T^{2} + 64072 T^{4} - 8128164 T^{6} + 754483726 T^{8} - 50727871524 T^{10} + 2495609589832 T^{12} - 80705035232972 T^{14} + 1517108809906561 T^{16} \))(\( 1 - 332 T^{2} + 64072 T^{4} - 8128164 T^{6} + 754483726 T^{8} - 50727871524 T^{10} + 2495609589832 T^{12} - 80705035232972 T^{14} + 1517108809906561 T^{16} \))(\( ( 1 - 10 T + 178 T^{2} - 790 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 + 10 T + 79 T^{2} )^{4} \))(\( ( 1 - 8 T + 79 T^{2} )^{4} \))(\( ( 1 - 10 T + 178 T^{2} - 790 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 + 22 T + 262 T^{2} + 1738 T^{3} + 6241 T^{4} )^{4} \))(\( 1 - T - 78 T^{2} - 79 T^{3} + 6241 T^{4} \))(\( 1 - 16 T + 177 T^{2} - 1264 T^{3} + 6241 T^{4} \))(\( ( 1 + 4 T + 79 T^{2} )( 1 + 13 T + 79 T^{2} ) \))(\( 1 - 79 T^{2} + 6241 T^{4} \))(\( 1 + 16 T + 41 T^{2} + 912 T^{3} + 19760 T^{4} + 72048 T^{5} + 255881 T^{6} + 7888624 T^{7} + 38950081 T^{8} \))(\( 1 + 12 T - 60 T^{2} - 608 T^{3} + 7164 T^{4} - 180 T^{5} - 865506 T^{6} - 14220 T^{7} + 44710524 T^{8} - 299767712 T^{9} - 2337004860 T^{10} + 36924676788 T^{11} + 243087455521 T^{12} \))(\( 1 + 12 T - 126 T^{2} - 520 T^{3} + 29010 T^{4} + 70572 T^{5} - 2137326 T^{6} + 5575188 T^{7} + 181051410 T^{8} - 256380280 T^{9} - 4907710206 T^{10} + 36924676788 T^{11} + 243087455521 T^{12} \))(\( 1 - 8 T - 55 T^{2} + 482 T^{3} + 2149 T^{4} + 38078 T^{5} - 343255 T^{6} - 3944312 T^{7} + 38950081 T^{8} \))(\( 1 + 14 T - 3 T^{2} - 608 T^{3} - 2275 T^{4} - 48032 T^{5} - 18723 T^{6} + 6902546 T^{7} + 38950081 T^{8} \))(\( 1 + 14 T + 57 T^{2} + 862 T^{3} + 13865 T^{4} + 68098 T^{5} + 355737 T^{6} + 6902546 T^{7} + 38950081 T^{8} \))(\( 1 + 81 T^{2} + 20 T^{3} + 6321 T^{4} + 1580 T^{5} + 505521 T^{6} + 38950081 T^{8} \))(\( 1 - 22 T + 226 T^{2} - 1904 T^{3} + 19415 T^{4} - 141262 T^{5} + 470990 T^{6} - 1200080 T^{7} + 20190961 T^{8} - 94806320 T^{9} + 2939448590 T^{10} - 69647675218 T^{11} + 756215822615 T^{12} - 5858715383696 T^{13} + 54937764947746 T^{14} - 422485997695498 T^{15} + 1517108809906561 T^{16} \))(\( 1 - 40 T + 722 T^{2} - 9480 T^{3} + 122303 T^{4} - 1456040 T^{5} + 15019554 T^{6} - 149014800 T^{7} + 1406542665 T^{8} - 11772169200 T^{9} + 93737036514 T^{10} - 717884505560 T^{11} + 4763711756543 T^{12} - 29170494662520 T^{13} + 175509142886162 T^{14} - 768156359446360 T^{15} + 1517108809906561 T^{16} \))(\( 1 + 12 T - 62 T^{2} - 438 T^{3} + 7131 T^{4} + 37380 T^{5} + 741842 T^{6} + 2884140 T^{7} - 60254563 T^{8} + 227847060 T^{9} + 4629835922 T^{10} + 18429797820 T^{11} + 277753027611 T^{12} - 1347750702762 T^{13} - 15071422242302 T^{14} + 230446907833908 T^{15} + 1517108809906561 T^{16} \))(\( 1 + 22 T + 166 T^{2} + 134 T^{3} - 4945 T^{4} - 81578 T^{5} - 926530 T^{6} + 1530860 T^{7} + 86887741 T^{8} + 120937940 T^{9} - 5782473730 T^{10} - 40221135542 T^{11} - 192608150545 T^{12} + 412325557466 T^{13} + 40352517616486 T^{14} + 422485997695498 T^{15} + 1517108809906561 T^{16} \))(\( ( 1 + 8 T - 15 T^{2} + 632 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 - 16 T + 177 T^{2} - 1264 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 + 5 T - 54 T^{2} + 395 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 - 2 T - 137 T^{2} + 34 T^{3} + 13324 T^{4} + 2686 T^{5} - 855017 T^{6} - 986078 T^{7} + 38950081 T^{8} )^{2} \))(\( 1 + 8 T - 80 T^{2} - 512 T^{3} + 233 T^{4} - 36016 T^{5} - 30160 T^{6} + 3724984 T^{7} + 31799248 T^{8} + 294273736 T^{9} - 188228560 T^{10} - 17757292624 T^{11} + 9075368873 T^{12} - 1575452876288 T^{13} - 19446996441680 T^{14} + 153631271889272 T^{15} + 1517108809906561 T^{16} \))(\( 1 + 8 T - 80 T^{2} - 512 T^{3} + 233 T^{4} - 36016 T^{5} - 30160 T^{6} + 3724984 T^{7} + 31799248 T^{8} + 294273736 T^{9} - 188228560 T^{10} - 17757292624 T^{11} + 9075368873 T^{12} - 1575452876288 T^{13} - 19446996441680 T^{14} + 153631271889272 T^{15} + 1517108809906561 T^{16} \))(\( ( 1 - 3 T - 282 T^{2} + 327 T^{3} + 42522 T^{4} + 461 T^{5} - 5209026 T^{6} + 1523043 T^{7} + 539773281 T^{8} - 168174348 T^{9} - 46349886960 T^{10} - 13285773492 T^{11} + 3368725046721 T^{12} + 750919597677 T^{13} - 202891984631106 T^{14} + 1418522999939 T^{15} + 10336564783663962 T^{16} + 6279678238473993 T^{17} - 427824684393650202 T^{18} - 359554787947854957 T^{19} + 9468276082626847201 T^{20} )^{2} \))(\( 1 - 15 T + 247 T^{2} - 2580 T^{3} + 29268 T^{4} - 203820 T^{5} + 1541527 T^{6} - 7395585 T^{7} + 38950081 T^{8} \))(\( 1 + 15 T + 247 T^{2} + 2580 T^{3} + 29268 T^{4} + 203820 T^{5} + 1541527 T^{6} + 7395585 T^{7} + 38950081 T^{8} \))(\( 1 + 15 T + 247 T^{2} + 2580 T^{3} + 29268 T^{4} + 203820 T^{5} + 1541527 T^{6} + 7395585 T^{7} + 38950081 T^{8} \))(\( 1 - 15 T + 247 T^{2} - 2580 T^{3} + 29268 T^{4} - 203820 T^{5} + 1541527 T^{6} - 7395585 T^{7} + 38950081 T^{8} \))(\( 1 + 30 T + 719 T^{2} + 12570 T^{3} + 189438 T^{4} + 2490402 T^{5} + 29620697 T^{6} + 314951958 T^{7} + 3015838143 T^{8} + 24654844776 T^{9} + 163821266684 T^{10} + 633865980192 T^{11} - 3527632354616 T^{12} - 117997166527224 T^{13} - 1739518467334544 T^{14} - 19828557434833632 T^{15} - 189428265761930420 T^{16} - 1566456037351856928 T^{17} - 10856334754634889104 T^{18} - 58177204987415993736 T^{19} - \)\(13\!\cdots\!96\)\( T^{20} + \)\(19\!\cdots\!08\)\( T^{21} + \)\(39\!\cdots\!64\)\( T^{22} + \)\(47\!\cdots\!84\)\( T^{23} + \)\(45\!\cdots\!23\)\( T^{24} + \)\(37\!\cdots\!02\)\( T^{25} + \)\(28\!\cdots\!97\)\( T^{26} + \)\(18\!\cdots\!58\)\( T^{27} + \)\(11\!\cdots\!58\)\( T^{28} + \)\(58\!\cdots\!30\)\( T^{29} + \)\(26\!\cdots\!39\)\( T^{30} + \)\(87\!\cdots\!70\)\( T^{31} + \)\(23\!\cdots\!21\)\( T^{32} \))(\( 1 - 30 T + 719 T^{2} - 12570 T^{3} + 189438 T^{4} - 2490402 T^{5} + 29620697 T^{6} - 314951958 T^{7} + 3015838143 T^{8} - 24654844776 T^{9} + 163821266684 T^{10} - 633865980192 T^{11} - 3527632354616 T^{12} + 117997166527224 T^{13} - 1739518467334544 T^{14} + 19828557434833632 T^{15} - 189428265761930420 T^{16} + 1566456037351856928 T^{17} - 10856334754634889104 T^{18} + 58177204987415993736 T^{19} - \)\(13\!\cdots\!96\)\( T^{20} - \)\(19\!\cdots\!08\)\( T^{21} + \)\(39\!\cdots\!64\)\( T^{22} - \)\(47\!\cdots\!84\)\( T^{23} + \)\(45\!\cdots\!23\)\( T^{24} - \)\(37\!\cdots\!02\)\( T^{25} + \)\(28\!\cdots\!97\)\( T^{26} - \)\(18\!\cdots\!58\)\( T^{27} + \)\(11\!\cdots\!58\)\( T^{28} - \)\(58\!\cdots\!30\)\( T^{29} + \)\(26\!\cdots\!39\)\( T^{30} - \)\(87\!\cdots\!70\)\( T^{31} + \)\(23\!\cdots\!21\)\( T^{32} \))
$83$ (\( 1 + 83 T^{2} \))(\( 1 - 14 T + 83 T^{2} \))(\( 1 - 4 T + 83 T^{2} \))(\( 1 + 2 T + 83 T^{2} \))(\( 1 + 14 T + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 + 8 T + 83 T^{2} \))(\( 1 + 12 T + 94 T^{2} + 996 T^{3} + 6889 T^{4} \))(\( ( 1 - 22 T + 622 T^{2} - 9098 T^{3} + 143843 T^{4} - 1508236 T^{5} + 16451460 T^{6} - 125183588 T^{7} + 990934427 T^{8} - 5202118126 T^{9} + 29519075662 T^{10} - 86658894146 T^{11} + 326940373369 T^{12} )^{2} \))(\( ( 1 + 22 T + 622 T^{2} + 9098 T^{3} + 143843 T^{4} + 1508236 T^{5} + 16451460 T^{6} + 125183588 T^{7} + 990934427 T^{8} + 5202118126 T^{9} + 29519075662 T^{10} + 86658894146 T^{11} + 326940373369 T^{12} )^{2} \))(\( ( 1 - 2 T + 186 T^{2} - 322 T^{3} + 21394 T^{4} - 26726 T^{5} + 1281354 T^{6} - 1143574 T^{7} + 47458321 T^{8} )^{2} \))(\( ( 1 + 2 T + 186 T^{2} + 322 T^{3} + 21394 T^{4} + 26726 T^{5} + 1281354 T^{6} + 1143574 T^{7} + 47458321 T^{8} )^{2} \))(\( ( 1 - 6 T + 83 T^{2} )^{4} \))(\( ( 1 + 160 T^{2} + 6889 T^{4} )^{2} \))(\( ( 1 + 58 T^{2} + 6889 T^{4} )^{2} \))(\( ( 1 + 6 T + 83 T^{2} )^{4} \))(\( ( 1 + 258 T^{2} + 30402 T^{4} + 1777362 T^{6} + 47458321 T^{8} )^{2} \))(\( ( 1 - T + 83 T^{2} )^{2} \))(\( ( 1 + 83 T^{2} )^{2} \))(\( ( 1 - 9 T + 83 T^{2} )^{2} \))(\( ( 1 + 16 T + 83 T^{2} )^{2} \))(\( ( 1 - 10 T + 79 T^{2} - 830 T^{3} + 6889 T^{4} )^{2} \))(\( ( 1 + 6 T + 138 T^{2} + 1184 T^{3} + 11454 T^{4} + 41334 T^{5} + 571787 T^{6} )^{2} \))(\( ( 1 - 18 T + 282 T^{2} - 2824 T^{3} + 23406 T^{4} - 124002 T^{5} + 571787 T^{6} )^{2} \))(\( 1 - 28 T + 461 T^{2} - 5964 T^{3} + 61769 T^{4} - 495012 T^{5} + 3175829 T^{6} - 16010036 T^{7} + 47458321 T^{8} \))(\( 1 - 14 T + 193 T^{2} - 2140 T^{3} + 26421 T^{4} - 177620 T^{5} + 1329577 T^{6} - 8005018 T^{7} + 47458321 T^{8} \))(\( 1 + 8 T + 101 T^{2} + 794 T^{3} + 2909 T^{4} + 65902 T^{5} + 695789 T^{6} + 4574296 T^{7} + 47458321 T^{8} \))(\( 1 + 10 T - 43 T^{2} - 830 T^{3} - 2671 T^{4} - 68890 T^{5} - 296227 T^{6} + 5717870 T^{7} + 47458321 T^{8} \))(\( 1 + 30 T + 580 T^{2} + 8810 T^{3} + 117311 T^{4} + 1406610 T^{5} + 15300330 T^{6} + 153332760 T^{7} + 1430690321 T^{8} + 12726619080 T^{9} + 105403973370 T^{10} + 804281312070 T^{11} + 5567383094831 T^{12} + 34702948064830 T^{13} + 189625416554020 T^{14} + 814081529688810 T^{15} + 2252292232139041 T^{16} \))(\( 1 + 32 T + 372 T^{2} + 1176 T^{3} - 12409 T^{4} - 85968 T^{5} + 446090 T^{6} + 4614368 T^{7} + 11674509 T^{8} + 382992544 T^{9} + 3073114010 T^{10} - 49155384816 T^{11} - 588910305289 T^{12} + 4632311796168 T^{13} + 121621818893268 T^{14} + 868353631668064 T^{15} + 2252292232139041 T^{16} \))(\( 1 + 38 T + 600 T^{2} + 6132 T^{3} + 61679 T^{4} + 542814 T^{5} + 3329414 T^{6} + 28696544 T^{7} + 326181861 T^{8} + 2381813152 T^{9} + 22936333046 T^{10} + 310373988618 T^{11} + 2927181780959 T^{12} + 24154197222876 T^{13} + 196164224021400 T^{14} + 1031169937605826 T^{15} + 2252292232139041 T^{16} \))(\( 1 - 12 T - 68 T^{2} + 1574 T^{3} - 2589 T^{4} - 133592 T^{5} + 988630 T^{6} + 5132392 T^{7} - 107425951 T^{8} + 425988536 T^{9} + 6810672070 T^{10} - 76386168904 T^{11} - 122869593069 T^{12} + 6200049972082 T^{13} - 22231945389092 T^{14} - 325632611875524 T^{15} + 2252292232139041 T^{16} \))(\( ( 1 - 134 T^{2} + 6889 T^{4} )^{2} \))(\( ( 1 + 154 T^{2} + 6889 T^{4} )^{2} \))(\( ( 1 + 19 T^{2} + 6889 T^{4} )^{2} \))(\( ( 1 + 278 T^{2} + 32811 T^{4} + 1915142 T^{6} + 47458321 T^{8} )^{2} \))(\( ( 1 + 36 T + 776 T^{2} + 11124 T^{3} + 118422 T^{4} + 923292 T^{5} + 5345864 T^{6} + 20584332 T^{7} + 47458321 T^{8} )^{2} \))(\( ( 1 - 36 T + 776 T^{2} - 11124 T^{3} + 118422 T^{4} - 923292 T^{5} + 5345864 T^{6} - 20584332 T^{7} + 47458321 T^{8} )^{2} \))(\( ( 1 + 163 T^{2} + 14965 T^{4} + 834084 T^{6} + 73107890 T^{8} + 6785333138 T^{10} + 503640254210 T^{12} + 39584226212964 T^{14} + 4892662687467085 T^{16} + 367123633838663683 T^{18} + 15516041187205853449 T^{20} )^{2} \))(\( ( 1 + 13 T + 194 T^{2} + 1079 T^{3} + 6889 T^{4} )^{2} \))(\( ( 1 + 13 T + 194 T^{2} + 1079 T^{3} + 6889 T^{4} )^{2} \))(\( ( 1 - 13 T + 194 T^{2} - 1079 T^{3} + 6889 T^{4} )^{2} \))(\( ( 1 - 13 T + 194 T^{2} - 1079 T^{3} + 6889 T^{4} )^{2} \))(\( ( 1 - 4 T + 523 T^{2} - 1544 T^{3} + 123705 T^{4} - 263372 T^{5} + 17791866 T^{6} - 28394068 T^{7} + 1752220430 T^{8} - 2356707644 T^{9} + 122568164874 T^{10} - 150592685764 T^{11} + 5870831599305 T^{12} - 6081878752792 T^{13} + 170989815271987 T^{14} - 108544203958508 T^{15} + 2252292232139041 T^{16} )^{2} \))(\( ( 1 + 4 T + 523 T^{2} + 1544 T^{3} + 123705 T^{4} + 263372 T^{5} + 17791866 T^{6} + 28394068 T^{7} + 1752220430 T^{8} + 2356707644 T^{9} + 122568164874 T^{10} + 150592685764 T^{11} + 5870831599305 T^{12} + 6081878752792 T^{13} + 170989815271987 T^{14} + 108544203958508 T^{15} + 2252292232139041 T^{16} )^{2} \))
$89$ (\( 1 + 6 T + 89 T^{2} \))(\( 1 - 10 T + 89 T^{2} \))(\( 1 + 14 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 + 14 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 + 14 T + 89 T^{2} \))(\( 1 - 12 T + 166 T^{2} - 1068 T^{3} + 7921 T^{4} \))(\( 1 - 820 T^{2} + 323170 T^{4} - 80962852 T^{6} + 14363670543 T^{8} - 1901693772904 T^{10} + 192715906897884 T^{12} - 15063316375172584 T^{14} + 901208878853506863 T^{16} - 40237022706844380772 T^{18} + \)\(12\!\cdots\!70\)\( T^{20} - \)\(25\!\cdots\!20\)\( T^{22} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 - 820 T^{2} + 323170 T^{4} - 80962852 T^{6} + 14363670543 T^{8} - 1901693772904 T^{10} + 192715906897884 T^{12} - 15063316375172584 T^{14} + 901208878853506863 T^{16} - 40237022706844380772 T^{18} + \)\(12\!\cdots\!70\)\( T^{20} - \)\(25\!\cdots\!20\)\( T^{22} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 - 512 T^{2} + 125500 T^{4} - 19379712 T^{6} + 2057968966 T^{8} - 153506698752 T^{10} + 7874151245500 T^{12} - 254454420972032 T^{14} + 3936588805702081 T^{16} \))(\( 1 - 512 T^{2} + 125500 T^{4} - 19379712 T^{6} + 2057968966 T^{8} - 153506698752 T^{10} + 7874151245500 T^{12} - 254454420972032 T^{14} + 3936588805702081 T^{16} \))(\( ( 1 + 8 T + 114 T^{2} + 712 T^{3} + 7921 T^{4} )^{2} \))(\( ( 1 + 82 T^{2} + 7921 T^{4} )^{2} \))(\( ( 1 - 14 T^{2} + 7921 T^{4} )^{2} \))(\( ( 1 - 8 T + 114 T^{2} - 712 T^{3} + 7921 T^{4} )^{2} \))(\( ( 1 + 132 T^{2} + 15846 T^{4} + 1045572 T^{6} + 62742241 T^{8} )^{2} \))(\( 1 + 6 T - 53 T^{2} + 534 T^{3} + 7921 T^{4} \))(\( 1 - 89 T^{2} + 7921 T^{4} \))(\( 1 - 6 T - 53 T^{2} - 534 T^{3} + 7921 T^{4} \))(\( 1 - 8 T - 25 T^{2} - 712 T^{3} + 7921 T^{4} \))(\( 1 + 16 T + 42 T^{2} + 576 T^{3} + 15091 T^{4} + 51264 T^{5} + 332682 T^{6} + 11279504 T^{7} + 62742241 T^{8} \))(\( 1 - 36 T + 633 T^{2} - 8396 T^{3} + 102066 T^{4} - 1165620 T^{5} + 11868377 T^{6} - 103740180 T^{7} + 808464786 T^{8} - 5918919724 T^{9} + 39715838553 T^{10} - 201026140164 T^{11} + 496981290961 T^{12} \))(\( 1 - 12 T - 111 T^{2} + 1180 T^{3} + 16890 T^{4} - 90972 T^{5} - 1023511 T^{6} - 8096508 T^{7} + 133785690 T^{8} + 831863420 T^{9} - 6964388751 T^{10} - 67008713388 T^{11} + 496981290961 T^{12} \))(\( ( 1 - 17 T + 239 T^{2} - 1513 T^{3} + 7921 T^{4} )^{2} \))(\( ( 1 + 13 T + 159 T^{2} + 1157 T^{3} + 7921 T^{4} )^{2} \))(\( ( 1 + 17 T + 239 T^{2} + 1513 T^{3} + 7921 T^{4} )^{2} \))(\( ( 1 + 7 T + 39 T^{2} + 623 T^{3} + 7921 T^{4} )^{2} \))(\( ( 1 + 2 T + 47 T^{2} + 4 T^{3} + 13249 T^{4} + 356 T^{5} + 372287 T^{6} + 1409938 T^{7} + 62742241 T^{8} )^{2} \))(\( ( 1 - 6 T + 327 T^{2} - 1528 T^{3} + 42605 T^{4} - 135992 T^{5} + 2590167 T^{6} - 4229814 T^{7} + 62742241 T^{8} )^{2} \))(\( ( 1 + 6 T + 271 T^{2} + 1620 T^{3} + 32625 T^{4} + 144180 T^{5} + 2146591 T^{6} + 4229814 T^{7} + 62742241 T^{8} )^{2} \))(\( ( 1 - 22 T + 347 T^{2} - 4304 T^{3} + 41029 T^{4} - 383056 T^{5} + 2748587 T^{6} - 15509318 T^{7} + 62742241 T^{8} )^{2} \))(\( 1 - 70 T^{2} - 3021 T^{4} - 554470 T^{6} + 62742241 T^{8} \))(\( 1 - 166 T^{2} + 19635 T^{4} - 1314886 T^{6} + 62742241 T^{8} \))(\( 1 - 130 T^{2} + 8979 T^{4} - 1029730 T^{6} + 62742241 T^{8} \))(\( 1 - 212 T^{2} + 22474 T^{4} - 1405136 T^{6} + 86157235 T^{8} - 11130082256 T^{10} + 1410069124234 T^{12} - 105360033683732 T^{14} + 3936588805702081 T^{16} \))(\( 1 + 4 T - 228 T^{2} + 72 T^{3} + 30902 T^{4} - 64092 T^{5} - 2636704 T^{6} + 3044860 T^{7} + 189683331 T^{8} + 270992540 T^{9} - 20885332384 T^{10} - 45182873148 T^{11} + 1938860731382 T^{12} + 402052280328 T^{13} - 113311734339108 T^{14} + 176925339582116 T^{15} + 3936588805702081 T^{16} \))(\( 1 - 4 T - 228 T^{2} - 72 T^{3} + 30902 T^{4} + 64092 T^{5} - 2636704 T^{6} - 3044860 T^{7} + 189683331 T^{8} - 270992540 T^{9} - 20885332384 T^{10} + 45182873148 T^{11} + 1938860731382 T^{12} - 402052280328 T^{13} - 113311734339108 T^{14} - 176925339582116 T^{15} + 3936588805702081 T^{16} \))(\( 1 - 394 T^{2} + 68319 T^{4} - 6706402 T^{6} + 428982287 T^{8} - 25623147964 T^{10} + 2250843903162 T^{12} - 249200551523236 T^{14} + 34654480387751053 T^{16} - 5039456614966637886 T^{18} + \)\(54\!\cdots\!01\)\( T^{20} - \)\(39\!\cdots\!06\)\( T^{22} + \)\(21\!\cdots\!73\)\( T^{24} - \)\(12\!\cdots\!96\)\( T^{26} + \)\(88\!\cdots\!22\)\( T^{28} - \)\(79\!\cdots\!64\)\( T^{30} + \)\(10\!\cdots\!27\)\( T^{32} - \)\(13\!\cdots\!82\)\( T^{34} + \)\(10\!\cdots\!59\)\( T^{36} - \)\(48\!\cdots\!14\)\( T^{38} + \)\(97\!\cdots\!01\)\( T^{40} \))(\( 1 + 6 T + 174 T^{2} + 972 T^{3} + 19391 T^{4} + 86508 T^{5} + 1378254 T^{6} + 4229814 T^{7} + 62742241 T^{8} \))(\( 1 - 6 T + 174 T^{2} - 972 T^{3} + 19391 T^{4} - 86508 T^{5} + 1378254 T^{6} - 4229814 T^{7} + 62742241 T^{8} \))(\( 1 + 6 T + 174 T^{2} + 972 T^{3} + 19391 T^{4} + 86508 T^{5} + 1378254 T^{6} + 4229814 T^{7} + 62742241 T^{8} \))(\( 1 - 6 T + 174 T^{2} - 972 T^{3} + 19391 T^{4} - 86508 T^{5} + 1378254 T^{6} - 4229814 T^{7} + 62742241 T^{8} \))(\( 1 + 36 T + 968 T^{2} + 19296 T^{3} + 325668 T^{4} + 4609212 T^{5} + 56729552 T^{6} + 597370692 T^{7} + 5319065562 T^{8} + 37089600696 T^{9} + 149466922904 T^{10} - 879537441732 T^{11} - 29159705241296 T^{12} - 437657801841588 T^{13} - 5158540285986536 T^{14} - 54240214087792200 T^{15} - 525790322706413885 T^{16} - 4827379053813505800 T^{17} - 40860797605299351656 T^{18} - \)\(30\!\cdots\!72\)\( T^{19} - \)\(18\!\cdots\!36\)\( T^{20} - \)\(49\!\cdots\!68\)\( T^{21} + \)\(74\!\cdots\!44\)\( T^{22} + \)\(16\!\cdots\!84\)\( T^{23} + \)\(20\!\cdots\!22\)\( T^{24} + \)\(20\!\cdots\!28\)\( T^{25} + \)\(17\!\cdots\!52\)\( T^{26} + \)\(12\!\cdots\!68\)\( T^{27} + \)\(80\!\cdots\!28\)\( T^{28} + \)\(42\!\cdots\!24\)\( T^{29} + \)\(18\!\cdots\!88\)\( T^{30} + \)\(62\!\cdots\!64\)\( T^{31} + \)\(15\!\cdots\!61\)\( T^{32} \))(\( 1 + 36 T + 968 T^{2} + 19296 T^{3} + 325668 T^{4} + 4609212 T^{5} + 56729552 T^{6} + 597370692 T^{7} + 5319065562 T^{8} + 37089600696 T^{9} + 149466922904 T^{10} - 879537441732 T^{11} - 29159705241296 T^{12} - 437657801841588 T^{13} - 5158540285986536 T^{14} - 54240214087792200 T^{15} - 525790322706413885 T^{16} - 4827379053813505800 T^{17} - 40860797605299351656 T^{18} - \)\(30\!\cdots\!72\)\( T^{19} - \)\(18\!\cdots\!36\)\( T^{20} - \)\(49\!\cdots\!68\)\( T^{21} + \)\(74\!\cdots\!44\)\( T^{22} + \)\(16\!\cdots\!84\)\( T^{23} + \)\(20\!\cdots\!22\)\( T^{24} + \)\(20\!\cdots\!28\)\( T^{25} + \)\(17\!\cdots\!52\)\( T^{26} + \)\(12\!\cdots\!68\)\( T^{27} + \)\(80\!\cdots\!28\)\( T^{28} + \)\(42\!\cdots\!24\)\( T^{29} + \)\(18\!\cdots\!88\)\( T^{30} + \)\(62\!\cdots\!64\)\( T^{31} + \)\(15\!\cdots\!61\)\( T^{32} \))
$97$ (\( 1 + 14 T + 97 T^{2} \))(\( 1 - 10 T + 97 T^{2} \))(\( 1 - 18 T + 97 T^{2} \))(\( 1 + 6 T + 97 T^{2} \))(\( 1 + 14 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 + 14 T + 97 T^{2} \))(\( ( 1 - 2 T + 97 T^{2} )^{2} \))(\( ( 1 + 24 T + 634 T^{2} + 8824 T^{3} + 133391 T^{4} + 1340016 T^{5} + 15651436 T^{6} + 129981552 T^{7} + 1255075919 T^{8} + 8053426552 T^{9} + 56127564154 T^{10} + 206096166168 T^{11} + 832972004929 T^{12} )^{2} \))(\( ( 1 + 24 T + 634 T^{2} + 8824 T^{3} + 133391 T^{4} + 1340016 T^{5} + 15651436 T^{6} + 129981552 T^{7} + 1255075919 T^{8} + 8053426552 T^{9} + 56127564154 T^{10} + 206096166168 T^{11} + 832972004929 T^{12} )^{2} \))(\( 1 - 640 T^{2} + 188988 T^{4} - 33686656 T^{6} + 3969998982 T^{8} - 316957746304 T^{10} + 16730971757628 T^{12} - 533102083154560 T^{14} + 7837433594376961 T^{16} \))(\( 1 - 640 T^{2} + 188988 T^{4} - 33686656 T^{6} + 3969998982 T^{8} - 316957746304 T^{10} + 16730971757628 T^{12} - 533102083154560 T^{14} + 7837433594376961 T^{16} \))(\( 1 - 340 T^{2} + 47398 T^{4} - 3199060 T^{6} + 88529281 T^{8} \))(\( ( 1 - 170 T^{2} + 9409 T^{4} )^{2} \))(\( ( 1 - 146 T^{2} + 9409 T^{4} )^{2} \))(\( 1 - 340 T^{2} + 47398 T^{4} - 3199060 T^{6} + 88529281 T^{8} \))(\( ( 1 - 348 T^{2} + 48822 T^{4} - 3274332 T^{6} + 88529281 T^{8} )^{2} \))(\( ( 1 - 9 T + 97 T^{2} )^{2} \))(\( ( 1 + T + 97 T^{2} )^{2} \))(\( ( 1 - 17 T + 97 T^{2} )^{2} \))(\( ( 1 - 7 T + 97 T^{2} )^{2} \))(\( ( 1 + 2 T + 83 T^{2} + 194 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 - 9 T + 210 T^{2} - 1753 T^{3} + 20370 T^{4} - 84681 T^{5} + 912673 T^{6} )^{2} \))(\( ( 1 - 7 T + 97 T^{2} )^{6} \))(\( 1 - 24 T + 159 T^{2} - 248 T^{3} + 1089 T^{4} - 24056 T^{5} + 1496031 T^{6} - 21904152 T^{7} + 88529281 T^{8} \))(\( 1 + 6 T - 21 T^{2} + 832 T^{3} + 14469 T^{4} + 80704 T^{5} - 197589 T^{6} + 5476038 T^{7} + 88529281 T^{8} \))(\( 1 + 4 T - T^{2} - 682 T^{3} + 829 T^{4} - 66154 T^{5} - 9409 T^{6} + 3650692 T^{7} + 88529281 T^{8} \))(\( 1 + 26 T + 279 T^{2} + 2782 T^{3} + 31769 T^{4} + 269854 T^{5} + 2625111 T^{6} + 23729498 T^{7} + 88529281 T^{8} \))(\( 1 + 10 T - 140 T^{2} - 810 T^{3} + 25071 T^{4} + 100030 T^{5} - 2624870 T^{6} + 791440 T^{7} + 357916921 T^{8} + 76769680 T^{9} - 24697401830 T^{10} + 91294680190 T^{11} + 2219517603951 T^{12} - 6955745608170 T^{13} - 116616080690060 T^{14} + 807982844781130 T^{15} + 7837433594376961 T^{16} \))(\( 1 - 8 T - 216 T^{2} + 1172 T^{3} + 12423 T^{4} - 50608 T^{5} + 2288286 T^{6} - 1356224 T^{7} - 410252467 T^{8} - 131553728 T^{9} + 21530482974 T^{10} - 46188555184 T^{11} + 1099799257863 T^{12} + 10064362781204 T^{13} - 179921953064664 T^{14} - 646386275824904 T^{15} + 7837433594376961 T^{16} \))(\( 1 - 6 T + 48 T^{2} - 1132 T^{3} + 15111 T^{4} - 102286 T^{5} + 1142410 T^{6} - 17440416 T^{7} + 145187749 T^{8} - 1691720352 T^{9} + 10748935690 T^{10} - 93353670478 T^{11} + 1337765965191 T^{12} - 9720869170924 T^{13} + 39982656236592 T^{14} - 484789706868678 T^{15} + 7837433594376961 T^{16} \))(\( 1 + 8 T - 160 T^{2} - 1286 T^{3} + 19331 T^{4} + 73572 T^{5} - 2482034 T^{6} - 1386360 T^{7} + 284906569 T^{8} - 134476920 T^{9} - 23353457906 T^{10} + 67147177956 T^{11} + 1711359531011 T^{12} - 11043319570502 T^{13} - 133275520788640 T^{14} + 646386275824904 T^{15} + 7837433594376961 T^{16} \))(\( ( 1 + 49 T^{2} + 9409 T^{4} )^{2} \))(\( ( 1 - 191 T^{2} + 9409 T^{4} )^{2} \))(\( ( 1 - 119 T^{2} + 9409 T^{4} )^{2} \))(\( ( 1 - 286 T^{2} + 36675 T^{4} - 2690974 T^{6} + 88529281 T^{8} )^{2} \))(\( 1 + 244 T^{2} + 40698 T^{4} + 4131824 T^{6} + 428394755 T^{8} + 38876332016 T^{10} + 3602964678138 T^{12} + 203245169202676 T^{14} + 7837433594376961 T^{16} \))(\( 1 + 244 T^{2} + 40698 T^{4} + 4131824 T^{6} + 428394755 T^{8} + 38876332016 T^{10} + 3602964678138 T^{12} + 203245169202676 T^{14} + 7837433594376961 T^{16} \))(\( ( 1 - 707 T^{2} + 241423 T^{4} - 52507794 T^{6} + 8040820589 T^{8} - 904502071045 T^{10} + 75656080921901 T^{12} - 4648477249716114 T^{14} + 201098600345973967 T^{16} - 5541065551224511427 T^{18} + 73742412689492826049 T^{20} )^{2} \))(\( ( 1 + 12 T + 173 T^{2} + 1164 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 + 12 T + 173 T^{2} + 1164 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 + 12 T + 173 T^{2} + 1164 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 + 12 T + 173 T^{2} + 1164 T^{3} + 9409 T^{4} )^{2} \))(\( 1 - 608 T^{2} + 187588 T^{4} - 40328000 T^{6} + 6818823050 T^{8} - 967972100768 T^{10} + 120672937256208 T^{12} - 13517338511335328 T^{14} + 1373778662576096019 T^{16} - \)\(12\!\cdots\!52\)\( T^{18} + \)\(10\!\cdots\!48\)\( T^{20} - \)\(80\!\cdots\!72\)\( T^{22} + \)\(53\!\cdots\!50\)\( T^{24} - \)\(29\!\cdots\!00\)\( T^{26} + \)\(13\!\cdots\!08\)\( T^{28} - \)\(39\!\cdots\!52\)\( T^{30} + \)\(61\!\cdots\!21\)\( T^{32} \))(\( 1 - 608 T^{2} + 187588 T^{4} - 40328000 T^{6} + 6818823050 T^{8} - 967972100768 T^{10} + 120672937256208 T^{12} - 13517338511335328 T^{14} + 1373778662576096019 T^{16} - \)\(12\!\cdots\!52\)\( T^{18} + \)\(10\!\cdots\!48\)\( T^{20} - \)\(80\!\cdots\!72\)\( T^{22} + \)\(53\!\cdots\!50\)\( T^{24} - \)\(29\!\cdots\!00\)\( T^{26} + \)\(13\!\cdots\!08\)\( T^{28} - \)\(39\!\cdots\!52\)\( T^{30} + \)\(61\!\cdots\!21\)\( T^{32} \))
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