Properties

Label 450.2
Level 450
Weight 2
Dimension 1313
Nonzero newspaces 12
Newform subspaces 63
Sturm bound 21600
Trace bound 3

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Defining parameters

Level: \( N \) = \( 450 = 2 \cdot 3^{2} \cdot 5^{2} \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 12 \)
Newform subspaces: \( 63 \)
Sturm bound: \(21600\)
Trace bound: \(3\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(450))\).

Total New Old
Modular forms 5848 1313 4535
Cusp forms 4953 1313 3640
Eisenstein series 895 0 895

Trace form

\( 1313q - 3q^{2} - 3q^{3} - 3q^{4} - 5q^{5} + 3q^{6} - 18q^{7} + 19q^{9} + O(q^{10}) \) \( 1313q - 3q^{2} - 3q^{3} - 3q^{4} - 5q^{5} + 3q^{6} - 18q^{7} + 19q^{9} + 11q^{10} + 43q^{11} + 16q^{12} + 34q^{13} + 46q^{14} + 24q^{15} - 3q^{16} + 74q^{17} + 26q^{18} + 62q^{19} + 16q^{20} + 54q^{21} + 51q^{22} + 94q^{23} - 3q^{24} + 67q^{25} - 4q^{26} + 48q^{27} + 8q^{28} + 70q^{29} + 44q^{31} + 2q^{32} + 7q^{33} + 8q^{34} + 4q^{35} - 29q^{36} + 81q^{37} - 87q^{38} - 128q^{39} + 3q^{40} - 105q^{41} - 128q^{42} + 17q^{43} - 46q^{44} - 80q^{45} + 36q^{46} - 98q^{47} - 29q^{48} + 30q^{49} - 57q^{50} - 87q^{51} - 14q^{52} - 87q^{53} - 87q^{54} + 60q^{55} - 34q^{56} - 61q^{57} - 50q^{58} - 31q^{59} - 32q^{60} - 104q^{61} - 156q^{62} - 84q^{63} - 253q^{65} - 24q^{66} - 189q^{67} - 117q^{68} - 152q^{69} - 216q^{70} - 24q^{71} + 3q^{72} - 190q^{73} - 212q^{74} - 296q^{75} - 31q^{76} - 474q^{77} - 126q^{78} - 188q^{79} - 5q^{80} - 137q^{81} - 178q^{82} - 436q^{83} - 78q^{84} - 185q^{85} - 43q^{86} - 214q^{87} + 11q^{88} - 239q^{89} - 64q^{90} + 24q^{91} - 6q^{92} - 104q^{93} + 38q^{94} + 28q^{95} + 16q^{96} + 123q^{97} + 72q^{98} - 14q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(450))\)

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
450.2.a \(\chi_{450}(1, \cdot)\) 450.2.a.a 1 1
450.2.a.b 1
450.2.a.c 1
450.2.a.d 1
450.2.a.e 1
450.2.a.f 1
450.2.a.g 1
450.2.c \(\chi_{450}(199, \cdot)\) 450.2.c.a 2 1
450.2.c.b 2
450.2.c.c 2
450.2.c.d 2
450.2.e \(\chi_{450}(151, \cdot)\) 450.2.e.a 2 2
450.2.e.b 2
450.2.e.c 2
450.2.e.d 2
450.2.e.e 2
450.2.e.f 2
450.2.e.g 2
450.2.e.h 2
450.2.e.i 2
450.2.e.j 4
450.2.e.k 4
450.2.e.l 4
450.2.e.m 4
450.2.e.n 4
450.2.f \(\chi_{450}(107, \cdot)\) 450.2.f.a 4 2
450.2.f.b 4
450.2.f.c 4
450.2.h \(\chi_{450}(91, \cdot)\) 450.2.h.a 4 4
450.2.h.b 4
450.2.h.c 4
450.2.h.d 8
450.2.h.e 8
450.2.h.f 12
450.2.h.g 12
450.2.j \(\chi_{450}(49, \cdot)\) 450.2.j.a 4 2
450.2.j.b 4
450.2.j.c 4
450.2.j.d 4
450.2.j.e 4
450.2.j.f 8
450.2.j.g 8
450.2.l \(\chi_{450}(19, \cdot)\) 450.2.l.a 8 4
450.2.l.b 8
450.2.l.c 16
450.2.l.d 16
450.2.p \(\chi_{450}(257, \cdot)\) 450.2.p.a 8 4
450.2.p.b 8
450.2.p.c 8
450.2.p.d 8
450.2.p.e 8
450.2.p.f 8
450.2.p.g 8
450.2.p.h 16
450.2.q \(\chi_{450}(31, \cdot)\) 450.2.q.a 8 8
450.2.q.b 112
450.2.q.c 120
450.2.s \(\chi_{450}(17, \cdot)\) 450.2.s.a 16 8
450.2.s.b 16
450.2.s.c 16
450.2.s.d 32
450.2.v \(\chi_{450}(79, \cdot)\) 450.2.v.a 240 8
450.2.w \(\chi_{450}(23, \cdot)\) 450.2.w.a 480 16

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(450))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(450)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(15))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(18))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(25))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(30))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(45))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(50))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(75))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(90))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(150))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(225))\)\(^{\oplus 2}\)

Hecke Characteristic Polynomials

$p$ $F_p(T)$
$2$ (\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( ( 1 + T + T^{2} )^{2} \))(\( ( 1 + T + T^{2} )^{2} \))(\( ( 1 + T + T^{2} )^{2} \))(\( ( 1 - T + T^{2} )^{2} \))(\( ( 1 - T + T^{2} )^{2} \))(\( 1 + T^{4} \))(\( 1 + T^{4} \))(\( 1 + T^{4} \))(\( 1 + T + T^{2} + T^{3} + T^{4} \))(\( 1 + T + T^{2} + T^{3} + T^{4} \))(\( 1 - T + T^{2} - T^{3} + T^{4} \))(\( ( 1 + T + T^{2} + T^{3} + T^{4} )^{2} \))(\( ( 1 - T + T^{2} - T^{3} + T^{4} )^{2} \))(\( ( 1 + T + T^{2} + T^{3} + T^{4} )^{3} \))(\( ( 1 - T + T^{2} - T^{3} + T^{4} )^{3} \))(\( 1 - T^{2} + T^{4} \))(\( 1 - T^{2} + T^{4} \))(\( 1 - T^{2} + T^{4} \))(\( 1 - T^{2} + T^{4} \))(\( 1 - T^{2} + T^{4} \))(\( ( 1 - T^{2} + T^{4} )^{2} \))(\( ( 1 - T^{2} + T^{4} )^{2} \))(\( 1 - T^{2} + T^{4} - T^{6} + T^{8} \))(\( 1 - T^{2} + T^{4} - T^{6} + T^{8} \))(\( ( 1 - T^{2} + T^{4} - T^{6} + T^{8} )^{2} \))(\( ( 1 - T^{2} + T^{4} - T^{6} + T^{8} )^{2} \))(\( 1 - T^{4} + T^{8} \))(\( 1 - T^{4} + T^{8} \))(\( 1 - T^{4} + T^{8} \))(\( 1 - T^{4} + T^{8} \))(\( 1 - T^{4} + T^{8} \))(\( 1 - T^{4} + T^{8} \))(\( 1 - T^{4} + T^{8} \))(\( ( 1 - T^{4} + T^{8} )^{2} \))(\( 1 - T + T^{3} - T^{4} + T^{5} - T^{7} + T^{8} \))(\( 1 - T^{4} + T^{8} - T^{12} + T^{16} \))(\( 1 - T^{4} + T^{8} - T^{12} + T^{16} \))(\( 1 - T^{4} + T^{8} - T^{12} + T^{16} \))
$3$ (\( 1 + 3 T + 3 T^{2} \))(\( 1 + 3 T + 3 T^{2} \))(\( 1 + 3 T^{2} \))(\( 1 - 3 T + 3 T^{2} \))(\( 1 + 3 T + 3 T^{2} \))(\( 1 + 3 T^{2} \))(\( 1 - 3 T + 3 T^{2} \))(\( 1 - 3 T + 3 T^{2} \))(\( 1 - 3 T + 3 T^{2} \))(\( ( 1 + T + 3 T^{2} )^{2} \))(\( 1 - 2 T + T^{2} - 6 T^{3} + 9 T^{4} \))(\( ( 1 - 2 T + 3 T^{2} )^{2} \))(\( ( 1 + 2 T + 3 T^{2} )^{2} \))(\( 1 + 2 T + T^{2} + 6 T^{3} + 9 T^{4} \))(\( 1 + 3 T^{2} + 9 T^{4} \))(\( ( 1 - 3 T^{2} )^{2} \))(\( 1 + 3 T^{2} + 9 T^{4} \))(\( 1 + 3 T^{2} + 9 T^{4} \))(\( 1 + 3 T^{2} + 9 T^{4} \))(\( ( 1 - 2 T^{2} + 9 T^{4} )^{2} \))(\( ( 1 - 5 T^{2} + 9 T^{4} )^{2} \))(\( 1 + 4 T + 8 T^{2} + 8 T^{3} + 7 T^{4} + 24 T^{5} + 72 T^{6} + 108 T^{7} + 81 T^{8} \))(\( 1 - 9 T^{4} + 81 T^{8} \))(\( ( 1 + 9 T^{4} )^{2} \))(\( 1 - 9 T^{4} + 81 T^{8} \))(\( ( 1 + 9 T^{4} )^{2} \))(\( 1 - 9 T^{4} + 81 T^{8} \))(\( ( 1 + 9 T^{4} )^{2} \))(\( 1 - 6 T^{4} - 45 T^{8} - 486 T^{12} + 6561 T^{16} \))(\( 1 - 3 T^{2} + 9 T^{4} - 27 T^{6} + 81 T^{8} \))
$5$ (\( 1 + 5 T + 15 T^{2} + 25 T^{3} + 25 T^{4} \))(\( 1 + 5 T + 15 T^{2} + 25 T^{3} + 25 T^{4} \))(\( 1 + 5 T + 15 T^{2} + 25 T^{3} + 25 T^{4} \))(\( 1 - 4 T + T^{2} + 16 T^{3} - 39 T^{4} + 80 T^{5} + 25 T^{6} - 500 T^{7} + 625 T^{8} \))(\( 1 - 15 T^{2} + 105 T^{4} - 375 T^{6} + 625 T^{8} \))(\( 1 - T + 6 T^{2} - 26 T^{3} + 61 T^{4} - 120 T^{5} + 465 T^{6} - 600 T^{7} + 1525 T^{8} - 3250 T^{9} + 3750 T^{10} - 3125 T^{11} + 15625 T^{12} \))(\( 1 + T + 6 T^{2} + 26 T^{3} + 61 T^{4} + 120 T^{5} + 465 T^{6} + 600 T^{7} + 1525 T^{8} + 3250 T^{9} + 3750 T^{10} + 3125 T^{11} + 15625 T^{12} \))(\( 1 + 5 T^{2} - 10 T^{3} + 5 T^{4} - 50 T^{5} + 125 T^{6} + 625 T^{8} \))(\( 1 - 10 T + 45 T^{2} - 130 T^{3} + 305 T^{4} - 650 T^{5} + 1125 T^{6} - 1250 T^{7} + 625 T^{8} \))(\( 1 + 4 T - 4 T^{2} - 6 T^{3} + 161 T^{4} + 260 T^{5} - 580 T^{6} + 520 T^{7} + 7205 T^{8} + 2600 T^{9} - 14500 T^{10} + 32500 T^{11} + 100625 T^{12} - 18750 T^{13} - 62500 T^{14} + 312500 T^{15} + 390625 T^{16} \))(\( 1 - 10 T^{2} + 35 T^{4} + 100 T^{6} - 1475 T^{8} + 2500 T^{10} + 21875 T^{12} - 156250 T^{14} + 390625 T^{16} \))(\( 1 + 5 T + 10 T^{2} + 25 T^{3} + 75 T^{4} + 125 T^{5} + 250 T^{6} + 625 T^{7} + 625 T^{8} \))(\( 1 + 20 T^{2} + 215 T^{4} + 1600 T^{6} + 9025 T^{8} + 40000 T^{10} + 134375 T^{12} + 312500 T^{14} + 390625 T^{16} \))(\( 1 - 25 T^{4} + 625 T^{8} - 15625 T^{12} + 390625 T^{16} \))(\( 1 - 25 T^{4} + 625 T^{8} - 15625 T^{12} + 390625 T^{16} \))
$7$ (\( 1 + 2 T + 7 T^{2} \))(\( 1 + 2 T + 7 T^{2} \))(\( 1 + 2 T + 7 T^{2} \))(\( 1 - 4 T + 7 T^{2} \))(\( 1 + 2 T + 7 T^{2} \))(\( 1 - 2 T + 7 T^{2} \))(\( 1 - 2 T + 7 T^{2} \))(\( 1 - 10 T^{2} + 49 T^{4} \))(\( 1 + 2 T^{2} + 49 T^{4} \))(\( 1 - 10 T^{2} + 49 T^{4} \))(\( 1 - 10 T^{2} + 49 T^{4} \))(\( ( 1 - T + 7 T^{2} )( 1 + 5 T + 7 T^{2} ) \))(\( ( 1 - 5 T + 7 T^{2} )( 1 + 4 T + 7 T^{2} ) \))(\( 1 + 2 T - 3 T^{2} + 14 T^{3} + 49 T^{4} \))(\( ( 1 - T + 7 T^{2} )( 1 + 5 T + 7 T^{2} ) \))(\( ( 1 - 4 T + 7 T^{2} )( 1 + 5 T + 7 T^{2} ) \))(\( 1 - 2 T - 3 T^{2} - 14 T^{3} + 49 T^{4} \))(\( ( 1 - 4 T + 7 T^{2} )( 1 + 5 T + 7 T^{2} ) \))(\( ( 1 - 5 T + 7 T^{2} )( 1 + T + 7 T^{2} ) \))(\( 1 - 2 T - 3 T^{2} - 14 T^{3} + 49 T^{4} \))(\( 1 - T - 5 T^{2} + 8 T^{3} - 20 T^{4} + 56 T^{5} - 245 T^{6} - 343 T^{7} + 2401 T^{8} \))(\( 1 - 4 T + 4 T^{2} + 8 T^{3} - 17 T^{4} + 56 T^{5} + 196 T^{6} - 1372 T^{7} + 2401 T^{8} \))(\( 1 - 4 T + 4 T^{2} + 8 T^{3} - 17 T^{4} + 56 T^{5} + 196 T^{6} - 1372 T^{7} + 2401 T^{8} \))(\( 1 + 4 T + 4 T^{2} - 8 T^{3} - 17 T^{4} - 56 T^{5} + 196 T^{6} + 1372 T^{7} + 2401 T^{8} \))(\( 1 + 4 T + 4 T^{2} - 8 T^{3} - 17 T^{4} - 56 T^{5} + 196 T^{6} + 1372 T^{7} + 2401 T^{8} \))(\( ( 1 + 6 T + 18 T^{2} + 42 T^{3} + 49 T^{4} )^{2} \))(\( ( 1 + 4 T + 8 T^{2} + 28 T^{3} + 49 T^{4} )^{2} \))(\( ( 1 - 6 T + 18 T^{2} - 42 T^{3} + 49 T^{4} )^{2} \))(\( ( 1 + 3 T + 7 T^{2} )^{4} \))(\( ( 1 - 2 T + 7 T^{2} )^{4} \))(\( ( 1 - 3 T + 15 T^{2} - 21 T^{3} + 49 T^{4} )^{2} \))(\( ( 1 + T + 9 T^{2} + 17 T^{3} + 104 T^{4} + 119 T^{5} + 441 T^{6} + 343 T^{7} + 2401 T^{8} )^{2} \))(\( ( 1 - 2 T + 17 T^{2} - 30 T^{3} + 156 T^{4} - 210 T^{5} + 833 T^{6} - 686 T^{7} + 2401 T^{8} )^{2} \))(\( ( 1 + T + 13 T^{2} + 17 T^{3} + 47 T^{4} + 88 T^{5} + 34 T^{6} + 616 T^{7} + 2303 T^{8} + 5831 T^{9} + 31213 T^{10} + 16807 T^{11} + 117649 T^{12} )^{2} \))(\( ( 1 + T + 13 T^{2} + 17 T^{3} + 47 T^{4} + 88 T^{5} + 34 T^{6} + 616 T^{7} + 2303 T^{8} + 5831 T^{9} + 31213 T^{10} + 16807 T^{11} + 117649 T^{12} )^{2} \))(\( ( 1 - 13 T^{2} + 49 T^{4} )( 1 + 11 T^{2} + 49 T^{4} ) \))(\( 1 + 10 T^{2} + 51 T^{4} + 490 T^{6} + 2401 T^{8} \))(\( ( 1 + 2 T^{2} + 49 T^{4} )( 1 + 11 T^{2} + 49 T^{4} ) \))(\( ( 1 - 13 T^{2} + 49 T^{4} )( 1 + 11 T^{2} + 49 T^{4} ) \))(\( 1 + 10 T^{2} + 51 T^{4} + 490 T^{6} + 2401 T^{8} \))(\( 1 + 8 T^{2} + 46 T^{4} - 640 T^{6} - 5213 T^{8} - 31360 T^{10} + 110446 T^{12} + 941192 T^{14} + 5764801 T^{16} \))(\( 1 + 11 T^{2} + T^{4} + 242 T^{6} + 6070 T^{8} + 11858 T^{10} + 2401 T^{12} + 1294139 T^{14} + 5764801 T^{16} \))(\( 1 - 32 T^{2} + 500 T^{4} - 5152 T^{6} + 40294 T^{8} - 252448 T^{10} + 1200500 T^{12} - 3764768 T^{14} + 5764801 T^{16} \))(\( 1 - 20 T^{2} + 146 T^{4} - 160 T^{6} - 2789 T^{8} - 7840 T^{10} + 350546 T^{12} - 2352980 T^{14} + 5764801 T^{16} \))(\( 1 - 30 T^{2} + 527 T^{4} - 6940 T^{6} + 74703 T^{8} - 716280 T^{10} + 6275029 T^{12} - 50516750 T^{14} + 372187880 T^{16} - 2475320750 T^{18} + 15066344629 T^{20} - 84269625720 T^{22} + 430647929103 T^{24} - 1960378228060 T^{26} + 7294358354927 T^{28} - 20346692185470 T^{30} + 33232930569601 T^{32} \))(\( ( 1 - 35 T^{2} + 611 T^{4} - 7045 T^{6} + 57976 T^{8} - 345205 T^{10} + 1467011 T^{12} - 4117715 T^{14} + 5764801 T^{16} )^{2} \))(\( 1 - 8 T + 32 T^{2} - 64 T^{3} - 7 T^{4} + 464 T^{5} - 1440 T^{6} + 2472 T^{7} - 4016 T^{8} + 17304 T^{9} - 70560 T^{10} + 159152 T^{11} - 16807 T^{12} - 1075648 T^{13} + 3764768 T^{14} - 6588344 T^{15} + 5764801 T^{16} \))(\( ( 1 - 49 T^{4} + 2401 T^{8} )^{2} \))(\( 1 + 36 T^{2} + 634 T^{4} + 7272 T^{6} + 59571 T^{8} + 356328 T^{10} + 1522234 T^{12} + 4235364 T^{14} + 5764801 T^{16} \))(\( ( 1 - 94 T^{4} + 2401 T^{8} )( 1 + 71 T^{4} + 2401 T^{8} ) \))(\( 1 - 36 T^{2} + 634 T^{4} - 7272 T^{6} + 59571 T^{8} - 356328 T^{10} + 1522234 T^{12} - 4235364 T^{14} + 5764801 T^{16} \))(\( ( 1 + 23 T^{4} + 2401 T^{8} )( 1 + 71 T^{4} + 2401 T^{8} ) \))(\( ( 1 - 49 T^{4} + 2401 T^{8} )^{2} \))(\( 1 + 8 T + 32 T^{2} + 32 T^{3} - 168 T^{4} - 752 T^{5} - 128 T^{6} + 4696 T^{7} + 9614 T^{8} - 32960 T^{9} - 159808 T^{10} - 211120 T^{11} + 686208 T^{12} + 2864720 T^{13} + 4398240 T^{14} - 5724096 T^{15} - 29956541 T^{16} - 40068672 T^{17} + 215513760 T^{18} + 982598960 T^{19} + 1647585408 T^{20} - 3548293840 T^{21} - 18801251392 T^{22} - 27143977280 T^{23} + 55422796814 T^{24} + 189500538472 T^{25} - 36156831872 T^{26} - 1486949710736 T^{27} - 2325336249768 T^{28} + 3100448333024 T^{29} + 21703138331168 T^{30} + 37980492079544 T^{31} + 33232930569601 T^{32} \))(\( ( 1 + 4 T + 3 T^{2} - 4 T^{3} + 8 T^{4} - 28 T^{5} + 147 T^{6} + 1372 T^{7} + 2401 T^{8} )^{2} \))(\( ( 1 + 6 T + 18 T^{2} + 42 T^{3} + 51 T^{4} + 6 T^{5} - 84 T^{7} - 391 T^{8} - 588 T^{9} + 2058 T^{11} + 122451 T^{12} + 705894 T^{13} + 2117682 T^{14} + 4941258 T^{15} + 5764801 T^{16} )^{2} \))(\( ( 1 + 4 T + 8 T^{2} + 28 T^{3} + 36 T^{4} - 116 T^{5} - 360 T^{6} - 1836 T^{7} - 8186 T^{8} - 12852 T^{9} - 17640 T^{10} - 39788 T^{11} + 86436 T^{12} + 470596 T^{13} + 941192 T^{14} + 3294172 T^{15} + 5764801 T^{16} )^{2} \))(\( ( 1 - 2 T + 2 T^{2} - 10 T^{3} + 46 T^{4} - 70 T^{5} + 98 T^{6} - 686 T^{7} + 2401 T^{8} )^{4} \))
$11$ (\( 1 + 6 T + 11 T^{2} \))(\( 1 + 2 T + 11 T^{2} \))(\( 1 - 3 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 - 6 T + 11 T^{2} \))(\( 1 + 2 T + 11 T^{2} \))(\( 1 - 3 T + 11 T^{2} \))(\( ( 1 + 6 T + 11 T^{2} )^{2} \))(\( ( 1 + 11 T^{2} )^{2} \))(\( ( 1 - 3 T + 11 T^{2} )^{2} \))(\( ( 1 - 6 T + 11 T^{2} )^{2} \))(\( 1 + 3 T - 2 T^{2} + 33 T^{3} + 121 T^{4} \))(\( 1 - 2 T - 7 T^{2} - 22 T^{3} + 121 T^{4} \))(\( 1 - 11 T^{2} + 121 T^{4} \))(\( 1 + 3 T - 2 T^{2} + 33 T^{3} + 121 T^{4} \))(\( 1 + 6 T + 25 T^{2} + 66 T^{3} + 121 T^{4} \))(\( 1 - 11 T^{2} + 121 T^{4} \))(\( 1 - 2 T - 7 T^{2} - 22 T^{3} + 121 T^{4} \))(\( 1 + 3 T - 2 T^{2} + 33 T^{3} + 121 T^{4} \))(\( 1 - 3 T - 2 T^{2} - 33 T^{3} + 121 T^{4} \))(\( 1 - 3 T - 7 T^{2} + 18 T^{3} + 36 T^{4} + 198 T^{5} - 847 T^{6} - 3993 T^{7} + 14641 T^{8} \))(\( 1 - 2 T - 13 T^{2} + 10 T^{3} + 124 T^{4} + 110 T^{5} - 1573 T^{6} - 2662 T^{7} + 14641 T^{8} \))(\( 1 + 2 T^{2} - 117 T^{4} + 242 T^{6} + 14641 T^{8} \))(\( 1 + 2 T^{2} - 117 T^{4} + 242 T^{6} + 14641 T^{8} \))(\( 1 - 2 T - 13 T^{2} + 10 T^{3} + 124 T^{4} + 110 T^{5} - 1573 T^{6} - 2662 T^{7} + 14641 T^{8} \))(\( ( 1 - 4 T^{2} + 121 T^{4} )^{2} \))(\( ( 1 - 6 T + 11 T^{2} )^{2}( 1 + 6 T + 11 T^{2} )^{2} \))(\( ( 1 - 4 T^{2} + 121 T^{4} )^{2} \))(\( 1 + 3 T + 8 T^{2} + 51 T^{3} + 265 T^{4} + 561 T^{5} + 968 T^{6} + 3993 T^{7} + 14641 T^{8} \))(\( 1 - 2 T + 13 T^{2} - 34 T^{3} + 225 T^{4} - 374 T^{5} + 1573 T^{6} - 2662 T^{7} + 14641 T^{8} \))(\( 1 - 5 T - T^{2} + 55 T^{3} - 184 T^{4} + 605 T^{5} - 121 T^{6} - 6655 T^{7} + 14641 T^{8} \))(\( 1 - 5 T + 38 T^{2} - 210 T^{3} + 1048 T^{4} - 4455 T^{5} + 19301 T^{6} - 69050 T^{7} + 243280 T^{8} - 759550 T^{9} + 2335421 T^{10} - 5929605 T^{11} + 15343768 T^{12} - 33820710 T^{13} + 67319318 T^{14} - 97435855 T^{15} + 214358881 T^{16} \))(\( 1 + T - 25 T^{2} - 40 T^{3} + 160 T^{4} + 653 T^{5} + 2838 T^{6} - 3940 T^{7} - 61905 T^{8} - 43340 T^{9} + 343398 T^{10} + 869143 T^{11} + 2342560 T^{12} - 6442040 T^{13} - 44289025 T^{14} + 19487171 T^{15} + 214358881 T^{16} \))(\( 1 - T - 41 T^{2} + 17 T^{3} + 759 T^{4} + 230 T^{5} - 9528 T^{6} - 5068 T^{7} + 111330 T^{8} - 16692 T^{9} - 1322666 T^{10} + 402304 T^{11} + 14962106 T^{12} + 4425344 T^{13} - 160042586 T^{14} - 22217052 T^{15} + 1629982530 T^{16} - 816206468 T^{17} - 16879433208 T^{18} + 4482049330 T^{19} + 162698390679 T^{20} + 40085110747 T^{21} - 1063434408641 T^{22} - 285311670611 T^{23} + 3138428376721 T^{24} \))(\( 1 + T - 41 T^{2} - 17 T^{3} + 759 T^{4} - 230 T^{5} - 9528 T^{6} + 5068 T^{7} + 111330 T^{8} + 16692 T^{9} - 1322666 T^{10} - 402304 T^{11} + 14962106 T^{12} - 4425344 T^{13} - 160042586 T^{14} + 22217052 T^{15} + 1629982530 T^{16} + 816206468 T^{17} - 16879433208 T^{18} - 4482049330 T^{19} + 162698390679 T^{20} - 40085110747 T^{21} - 1063434408641 T^{22} + 285311670611 T^{23} + 3138428376721 T^{24} \))(\( ( 1 + 3 T - 2 T^{2} + 33 T^{3} + 121 T^{4} )^{2} \))(\( ( 1 - 11 T^{2} + 121 T^{4} )^{2} \))(\( ( 1 + 6 T + 25 T^{2} + 66 T^{3} + 121 T^{4} )^{2} \))(\( ( 1 + 3 T - 2 T^{2} + 33 T^{3} + 121 T^{4} )^{2} \))(\( ( 1 - 3 T - 2 T^{2} - 33 T^{3} + 121 T^{4} )^{2} \))(\( ( 1 + 2 T^{2} - 117 T^{4} + 242 T^{6} + 14641 T^{8} )^{2} \))(\( ( 1 - 3 T - 7 T^{2} + 18 T^{3} + 36 T^{4} + 198 T^{5} - 847 T^{6} - 3993 T^{7} + 14641 T^{8} )^{2} \))(\( 1 + 10 T + 28 T^{2} - 60 T^{3} - 617 T^{4} - 1790 T^{5} - 794 T^{6} + 18400 T^{7} + 94725 T^{8} + 202400 T^{9} - 96074 T^{10} - 2382490 T^{11} - 9033497 T^{12} - 9663060 T^{13} + 49603708 T^{14} + 194871710 T^{15} + 214358881 T^{16} \))(\( 1 - 4 T - 25 T^{2} + 80 T^{3} + 260 T^{4} - 752 T^{5} + 1353 T^{6} + 2310 T^{7} - 44765 T^{8} + 25410 T^{9} + 163713 T^{10} - 1000912 T^{11} + 3806660 T^{12} + 12884080 T^{13} - 44289025 T^{14} - 77948684 T^{15} + 214358881 T^{16} \))(\( 1 + 2 T + 11 T^{2} + 50 T^{3} + 270 T^{4} - 764 T^{5} - 168 T^{6} - 4404 T^{7} - 16480 T^{8} - 222470 T^{9} + 461835 T^{10} + 66610 T^{11} + 2053685 T^{12} - 10233320 T^{13} + 85541270 T^{14} - 166971000 T^{15} - 141281840 T^{16} - 1836681000 T^{17} + 10350493670 T^{18} - 13620548920 T^{19} + 30068002085 T^{20} + 10727607110 T^{21} + 818168874435 T^{22} - 4335310932370 T^{23} - 3532634358880 T^{24} - 10384401631164 T^{25} - 4357487332968 T^{26} - 217978116346804 T^{27} + 847375661714670 T^{28} + 1726135607196550 T^{29} + 4177248169415651 T^{30} + 8354496338831302 T^{31} + 45949729863572161 T^{32} \))(\( 1 - 27 T^{2} + 396 T^{4} - 3528 T^{6} + 1916 T^{8} + 265119 T^{10} - 1853541 T^{12} - 18034104 T^{14} + 470113072 T^{16} - 2182126584 T^{18} - 27137693781 T^{20} + 469674480759 T^{22} + 410711615996 T^{24} - 91507233992328 T^{26} + 1242817637181516 T^{28} - 10253245506747507 T^{30} + 45949729863572161 T^{32} \))(\( ( 1 + 12 T + 74 T^{2} + 312 T^{3} + 1083 T^{4} + 3432 T^{5} + 8954 T^{6} + 15972 T^{7} + 14641 T^{8} )^{2} \))(\( ( 1 + 3 T + 14 T^{2} + 33 T^{3} + 121 T^{4} )^{4} \))(\( ( 1 - 6 T + 23 T^{2} - 66 T^{3} + 121 T^{4} )^{4} \))(\( ( 1 - 6 T + 23 T^{2} - 66 T^{3} + 121 T^{4} )^{4} \))(\( ( 1 - 6 T + 23 T^{2} - 66 T^{3} + 121 T^{4} )^{4} \))(\( ( 1 + 3 T + 14 T^{2} + 33 T^{3} + 121 T^{4} )^{4} \))(\( ( 1 - 6 T + 23 T^{2} - 66 T^{3} + 121 T^{4} )^{4} \))(\( ( 1 + 22 T^{2} + 199 T^{4} - 264 T^{5} + 1138 T^{6} - 6840 T^{7} + 10132 T^{8} - 75240 T^{9} + 137698 T^{10} - 351384 T^{11} + 2913559 T^{12} + 38974342 T^{14} + 214358881 T^{16} )^{2} \))(\( 1 - 5 T + 26 T^{2} - 105 T^{3} + 460 T^{4} - 1290 T^{5} + 5624 T^{6} - 14960 T^{7} + 52369 T^{8} - 164560 T^{9} + 680504 T^{10} - 1716990 T^{11} + 6734860 T^{12} - 16910355 T^{13} + 46060586 T^{14} - 97435855 T^{15} + 214358881 T^{16} \))(\( 1 - 12 T^{2} + 91 T^{4} - 2688 T^{6} + 17211 T^{8} + 239784 T^{10} - 985351 T^{12} + 34325316 T^{14} - 880731088 T^{16} + 4153363236 T^{18} - 14426523991 T^{20} + 424791982824 T^{22} + 3689330700891 T^{24} - 69719797327488 T^{26} + 285596982281611 T^{28} - 4556998002998892 T^{30} + 45949729863572161 T^{32} \))(\( 1 + 28 T^{2} + 346 T^{4} + 812 T^{6} - 18349 T^{8} - 257236 T^{10} - 1486636 T^{12} - 19318544 T^{14} - 196288523 T^{16} - 2337543824 T^{18} - 21765837676 T^{20} - 455709265396 T^{22} - 3933271107469 T^{24} + 21061188776012 T^{26} + 1085896218345466 T^{28} + 10632995340330748 T^{30} + 45949729863572161 T^{32} \))(\( 1 + 48 T^{2} + 1086 T^{4} + 17112 T^{6} + 223091 T^{8} + 2411184 T^{10} + 21509484 T^{12} + 178999296 T^{14} + 1725584677 T^{16} + 21658914816 T^{18} + 314920355244 T^{20} + 4271559538224 T^{22} + 47821537121171 T^{24} + 443841209772312 T^{26} + 3408333217119006 T^{28} + 18227992011995568 T^{30} + 45949729863572161 T^{32} \))
$13$ (\( 1 - 4 T + 13 T^{2} \))(\( 1 + 6 T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 - 6 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( ( 1 - 6 T + 13 T^{2} )( 1 + 6 T + 13 T^{2} ) \))(\( 1 - 22 T^{2} + 169 T^{4} \))(\( ( 1 - 6 T + 13 T^{2} )( 1 + 6 T + 13 T^{2} ) \))(\( ( 1 - 6 T + 13 T^{2} )( 1 + 6 T + 13 T^{2} ) \))(\( 1 + 4 T + 3 T^{2} + 52 T^{3} + 169 T^{4} \))(\( 1 - 6 T + 23 T^{2} - 78 T^{3} + 169 T^{4} \))(\( 1 - 4 T + 3 T^{2} - 52 T^{3} + 169 T^{4} \))(\( 1 + 4 T + 3 T^{2} + 52 T^{3} + 169 T^{4} \))(\( ( 1 - 7 T + 13 T^{2} )( 1 + 5 T + 13 T^{2} ) \))(\( 1 + 4 T + 3 T^{2} + 52 T^{3} + 169 T^{4} \))(\( 1 + 6 T + 23 T^{2} + 78 T^{3} + 169 T^{4} \))(\( 1 - 4 T + 3 T^{2} - 52 T^{3} + 169 T^{4} \))(\( ( 1 - 7 T + 13 T^{2} )( 1 + 5 T + 13 T^{2} ) \))(\( 1 + 2 T + 10 T^{2} - 64 T^{3} - 185 T^{4} - 832 T^{5} + 1690 T^{6} + 4394 T^{7} + 28561 T^{8} \))(\( 1 - 20 T^{2} + 231 T^{4} - 3380 T^{6} + 28561 T^{8} \))(\( 1 - 4 T - 8 T^{2} + 8 T^{3} + 199 T^{4} + 104 T^{5} - 1352 T^{6} - 8788 T^{7} + 28561 T^{8} \))(\( 1 + 4 T - 8 T^{2} - 8 T^{3} + 199 T^{4} - 104 T^{5} - 1352 T^{6} + 8788 T^{7} + 28561 T^{8} \))(\( 1 - 20 T^{2} + 231 T^{4} - 3380 T^{6} + 28561 T^{8} \))(\( ( 1 + 6 T + 18 T^{2} + 78 T^{3} + 169 T^{4} )^{2} \))(\( ( 1 - 6 T + 18 T^{2} - 78 T^{3} + 169 T^{4} )^{2} \))(\( ( 1 - 6 T + 18 T^{2} - 78 T^{3} + 169 T^{4} )^{2} \))(\( 1 + T - 12 T^{2} - 25 T^{3} + 131 T^{4} - 325 T^{5} - 2028 T^{6} + 2197 T^{7} + 28561 T^{8} \))(\( 1 + 6 T + 23 T^{2} + 120 T^{3} + 601 T^{4} + 1560 T^{5} + 3887 T^{6} + 13182 T^{7} + 28561 T^{8} \))(\( 1 - 12 T + 51 T^{2} - 76 T^{3} + 9 T^{4} - 988 T^{5} + 8619 T^{6} - 26364 T^{7} + 28561 T^{8} \))(\( 1 - 6 T + 6 T^{2} + 26 T^{3} + 3 T^{4} - 1366 T^{5} + 5284 T^{6} - 2112 T^{7} - 15227 T^{8} - 27456 T^{9} + 892996 T^{10} - 3001102 T^{11} + 85683 T^{12} + 9653618 T^{13} + 28960854 T^{14} - 376491102 T^{15} + 815730721 T^{16} \))(\( 1 + 13 T + 67 T^{2} + 164 T^{3} + 76 T^{4} - 427 T^{5} + 3190 T^{6} + 37102 T^{7} + 173189 T^{8} + 482326 T^{9} + 539110 T^{10} - 938119 T^{11} + 2170636 T^{12} + 60892052 T^{13} + 323396203 T^{14} + 815730721 T^{15} + 815730721 T^{16} \))(\( 1 - 4 T + 23 T^{2} - 40 T^{3} + 442 T^{4} - 684 T^{5} + 4610 T^{6} - 1048 T^{7} + 98883 T^{8} - 113084 T^{9} + 1314010 T^{10} - 1658428 T^{11} + 23586263 T^{12} - 21559564 T^{13} + 222067690 T^{14} - 248445548 T^{15} + 2824197363 T^{16} - 389115064 T^{17} + 22251589490 T^{18} - 42919985628 T^{19} + 360552978682 T^{20} - 424179974920 T^{21} + 3170745312527 T^{22} - 7168641576148 T^{23} + 23298085122481 T^{24} \))(\( 1 - 4 T + 23 T^{2} - 40 T^{3} + 442 T^{4} - 684 T^{5} + 4610 T^{6} - 1048 T^{7} + 98883 T^{8} - 113084 T^{9} + 1314010 T^{10} - 1658428 T^{11} + 23586263 T^{12} - 21559564 T^{13} + 222067690 T^{14} - 248445548 T^{15} + 2824197363 T^{16} - 389115064 T^{17} + 22251589490 T^{18} - 42919985628 T^{19} + 360552978682 T^{20} - 424179974920 T^{21} + 3170745312527 T^{22} - 7168641576148 T^{23} + 23298085122481 T^{24} \))(\( ( 1 - 6 T + 23 T^{2} - 78 T^{3} + 169 T^{4} )( 1 + 6 T + 23 T^{2} + 78 T^{3} + 169 T^{4} ) \))(\( ( 1 - 6 T + 23 T^{2} - 78 T^{3} + 169 T^{4} )( 1 + 6 T + 23 T^{2} + 78 T^{3} + 169 T^{4} ) \))(\( ( 1 - T^{2} + 169 T^{4} )( 1 + 23 T^{2} + 169 T^{4} ) \))(\( ( 1 - 6 T + 23 T^{2} - 78 T^{3} + 169 T^{4} )( 1 + 6 T + 23 T^{2} + 78 T^{3} + 169 T^{4} ) \))(\( ( 1 - T^{2} + 169 T^{4} )( 1 + 23 T^{2} + 169 T^{4} ) \))(\( 1 + 32 T^{2} + 526 T^{4} + 5120 T^{6} + 46387 T^{8} + 865280 T^{10} + 15023086 T^{12} + 154457888 T^{14} + 815730721 T^{16} \))(\( 1 - 16 T^{2} - 14 T^{4} + 1088 T^{6} + 1075 T^{8} + 183872 T^{10} - 399854 T^{12} - 77228944 T^{14} + 815730721 T^{16} \))(\( 1 + 20 T + 202 T^{2} + 1420 T^{3} + 8095 T^{4} + 40660 T^{5} + 185692 T^{6} + 772160 T^{7} + 2918789 T^{8} + 10038080 T^{9} + 31381948 T^{10} + 89330020 T^{11} + 231201295 T^{12} + 527236060 T^{13} + 975015418 T^{14} + 1254970340 T^{15} + 815730721 T^{16} \))(\( 1 - 5 T^{2} + 20 T^{3} + 96 T^{4} - 100 T^{5} + 25 T^{6} + 6470 T^{7} - 6509 T^{8} + 84110 T^{9} + 4225 T^{10} - 219700 T^{11} + 2741856 T^{12} + 7425860 T^{13} - 24134045 T^{14} + 815730721 T^{16} \))(\( 1 - 20 T + 240 T^{2} - 2100 T^{3} + 14722 T^{4} - 86440 T^{5} + 437000 T^{6} - 1922660 T^{7} + 7352283 T^{8} - 23888120 T^{9} + 61481440 T^{10} - 91205000 T^{11} - 205909876 T^{12} + 2578228580 T^{13} - 14615222400 T^{14} + 65003714260 T^{15} - 249510986035 T^{16} + 845048285380 T^{17} - 2469972585600 T^{18} + 5664368190260 T^{19} - 5880991968436 T^{20} - 33863778065000 T^{21} + 296759167924960 T^{22} - 1498944103918040 T^{23} + 5997483112586043 T^{24} - 20388846764492180 T^{25} + 60244160938013000 T^{26} - 154914344460558280 T^{27} + 342994409173165282 T^{28} - 636037723843731300 T^{29} + 944970332567829360 T^{30} - 1023717860281815140 T^{31} + 665416609183179841 T^{32} \))(\( ( 1 + 40 T^{2} + 20 T^{3} + 501 T^{4} + 800 T^{5} - 2120 T^{6} + 16580 T^{7} - 105479 T^{8} + 215540 T^{9} - 358280 T^{10} + 1757600 T^{11} + 14309061 T^{12} + 7425860 T^{13} + 193072360 T^{14} + 815730721 T^{16} )^{2} \))(\( 1 + 142 T^{4} - 8397 T^{8} + 4055662 T^{12} + 815730721 T^{16} \))(\( ( 1 - 337 T^{4} + 28561 T^{8} )( 1 + 191 T^{4} + 28561 T^{8} ) \))(\( 1 + 36 T^{2} + 682 T^{4} + 9000 T^{6} + 106947 T^{8} + 1521000 T^{10} + 19478602 T^{12} + 173765124 T^{14} + 815730721 T^{16} \))(\( 1 + 142 T^{4} - 8397 T^{8} + 4055662 T^{12} + 815730721 T^{16} \))(\( 1 - 36 T^{2} + 682 T^{4} - 9000 T^{6} + 106947 T^{8} - 1521000 T^{10} + 19478602 T^{12} - 173765124 T^{14} + 815730721 T^{16} \))(\( 1 + 142 T^{4} - 8397 T^{8} + 4055662 T^{12} + 815730721 T^{16} \))(\( 1 + 142 T^{4} - 8397 T^{8} + 4055662 T^{12} + 815730721 T^{16} \))(\( 1 - 48 T^{3} - 208 T^{4} - 648 T^{5} + 1152 T^{6} + 768 T^{7} + 58078 T^{8} - 38784 T^{9} + 412704 T^{10} + 164616 T^{11} + 6437888 T^{12} - 1602600 T^{13} + 36461952 T^{14} - 584300928 T^{15} - 665621597 T^{16} - 7595912064 T^{17} + 6162069888 T^{18} - 3520912200 T^{19} + 183872519168 T^{20} + 61120768488 T^{21} + 1992043381536 T^{22} - 2433638483328 T^{23} + 47376008814238 T^{24} + 8144255518464 T^{25} + 158812982610048 T^{26} - 1161319935335976 T^{27} - 4846001705476048 T^{28} - 14538005116428144 T^{29} + 665416609183179841 T^{32} \))(\( 1 - 6 T + 33 T^{2} - 178 T^{3} + 888 T^{4} - 3508 T^{5} + 14851 T^{6} - 54384 T^{7} + 204103 T^{8} - 706992 T^{9} + 2509819 T^{10} - 7707076 T^{11} + 25362168 T^{12} - 66090154 T^{13} + 159284697 T^{14} - 376491102 T^{15} + 815730721 T^{16} \))(\( ( 1 + 6 T + 18 T^{2} + 18 T^{3} - 397 T^{4} - 1482 T^{5} - 1584 T^{6} + 12384 T^{7} + 106993 T^{8} + 160992 T^{9} - 267696 T^{10} - 3255954 T^{11} - 11338717 T^{12} + 6683274 T^{13} + 86882562 T^{14} + 376491102 T^{15} + 815730721 T^{16} )^{2} \))(\( ( 1 - 26 T + 318 T^{2} - 2478 T^{3} + 14303 T^{4} - 68578 T^{5} + 297696 T^{6} - 1210344 T^{7} + 4559593 T^{8} - 15734472 T^{9} + 50310624 T^{10} - 150665866 T^{11} + 408507983 T^{12} - 920064054 T^{13} + 1534925262 T^{14} - 1631461442 T^{15} + 815730721 T^{16} )^{2} \))(\( ( 1 - 4 T + 18 T^{2} - 92 T^{3} + 303 T^{4} - 1532 T^{5} + 6696 T^{6} - 24136 T^{7} + 110813 T^{8} - 313768 T^{9} + 1131624 T^{10} - 3365804 T^{11} + 8653983 T^{12} - 34158956 T^{13} + 86882562 T^{14} - 250994068 T^{15} + 815730721 T^{16} )^{2} \))
$17$ (\( 1 + 6 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 + 3 T + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 - 3 T + 17 T^{2} \))(\( 1 + 2 T^{2} + 289 T^{4} \))(\( 1 + 2 T^{2} + 289 T^{4} \))(\( 1 - 25 T^{2} + 289 T^{4} \))(\( 1 + 2 T^{2} + 289 T^{4} \))(\( ( 1 - 3 T + 17 T^{2} )^{2} \))(\( ( 1 + 2 T + 17 T^{2} )^{2} \))(\( ( 1 + 6 T + 17 T^{2} )^{2} \))(\( ( 1 + 3 T + 17 T^{2} )^{2} \))(\( ( 1 + 17 T^{2} )^{2} \))(\( ( 1 - 6 T + 17 T^{2} )^{2} \))(\( ( 1 - 2 T + 17 T^{2} )^{2} \))(\( ( 1 + 3 T + 17 T^{2} )^{2} \))(\( ( 1 - 3 T + 17 T^{2} )^{2} \))(\( ( 1 - 9 T + 46 T^{2} - 153 T^{3} + 289 T^{4} )^{2} \))(\( ( 1 - 2 T + 11 T^{2} - 34 T^{3} + 289 T^{4} )^{2} \))(\( ( 1 + 10 T^{2} + 289 T^{4} )^{2} \))(\( ( 1 + 10 T^{2} + 289 T^{4} )^{2} \))(\( ( 1 + 2 T + 11 T^{2} + 34 T^{3} + 289 T^{4} )^{2} \))(\( ( 1 - 8 T + 32 T^{2} - 136 T^{3} + 289 T^{4} )( 1 + 8 T + 32 T^{2} + 136 T^{3} + 289 T^{4} ) \))(\( 1 - 254 T^{4} + 83521 T^{8} \))(\( ( 1 - 8 T + 32 T^{2} - 136 T^{3} + 289 T^{4} )( 1 + 8 T + 32 T^{2} + 136 T^{3} + 289 T^{4} ) \))(\( 1 + 3 T + 37 T^{2} + 45 T^{3} + 676 T^{4} + 765 T^{5} + 10693 T^{6} + 14739 T^{7} + 83521 T^{8} \))(\( 1 - 12 T + 37 T^{2} + 180 T^{3} - 1619 T^{4} + 3060 T^{5} + 10693 T^{6} - 58956 T^{7} + 83521 T^{8} \))(\( 1 + 6 T - T^{2} - 18 T^{3} + 169 T^{4} - 306 T^{5} - 289 T^{6} + 29478 T^{7} + 83521 T^{8} \))(\( 1 - 2 T + 44 T^{2} - 12 T^{3} + 1273 T^{4} + 258 T^{5} + 28916 T^{6} + 13984 T^{7} + 544693 T^{8} + 237728 T^{9} + 8356724 T^{10} + 1267554 T^{11} + 106322233 T^{12} - 17038284 T^{13} + 1062053036 T^{14} - 820677346 T^{15} + 6975757441 T^{16} \))(\( 1 - 11 T + 38 T^{2} + 8 T^{3} - 474 T^{4} + 1639 T^{5} + 2235 T^{6} - 60196 T^{7} + 352544 T^{8} - 1023332 T^{9} + 645915 T^{10} + 8052407 T^{11} - 39588954 T^{12} + 11358856 T^{13} + 917227622 T^{14} - 4513725403 T^{15} + 6975757441 T^{16} \))(\( 1 + 8 T - 15 T^{2} - 294 T^{3} - 306 T^{4} + 5078 T^{5} + 15054 T^{6} - 23070 T^{7} - 83077 T^{8} - 40138 T^{9} - 1667150 T^{10} + 2666170 T^{11} + 61412975 T^{12} + 45324890 T^{13} - 481806350 T^{14} - 197197994 T^{15} - 6938674117 T^{16} - 32756100990 T^{17} + 363366963726 T^{18} + 2083699781494 T^{19} - 2134581776946 T^{20} - 34864835690118 T^{21} - 30239908506735 T^{22} + 274175170461064 T^{23} + 582622237229761 T^{24} \))(\( 1 - 8 T - 15 T^{2} + 294 T^{3} - 306 T^{4} - 5078 T^{5} + 15054 T^{6} + 23070 T^{7} - 83077 T^{8} + 40138 T^{9} - 1667150 T^{10} - 2666170 T^{11} + 61412975 T^{12} - 45324890 T^{13} - 481806350 T^{14} + 197197994 T^{15} - 6938674117 T^{16} + 32756100990 T^{17} + 363366963726 T^{18} - 2083699781494 T^{19} - 2134581776946 T^{20} + 34864835690118 T^{21} - 30239908506735 T^{22} - 274175170461064 T^{23} + 582622237229761 T^{24} \))(\( ( 1 - 25 T^{2} + 289 T^{4} )^{2} \))(\( ( 1 + 2 T^{2} + 289 T^{4} )^{2} \))(\( ( 1 - 17 T^{2} )^{4} \))(\( ( 1 - 25 T^{2} + 289 T^{4} )^{2} \))(\( ( 1 - 25 T^{2} + 289 T^{4} )^{2} \))(\( ( 1 - 10 T^{2} + 289 T^{4} )^{4} \))(\( ( 1 - 11 T^{2} - 60 T^{4} - 3179 T^{6} + 83521 T^{8} )^{2} \))(\( 1 + 10 T + 78 T^{2} + 590 T^{3} + 3615 T^{4} + 20330 T^{5} + 105768 T^{6} + 488740 T^{7} + 2089449 T^{8} + 8308580 T^{9} + 30566952 T^{10} + 99881290 T^{11} + 301928415 T^{12} + 837715630 T^{13} + 1882730382 T^{14} + 4103386730 T^{15} + 6975757441 T^{16} \))(\( 1 + 10 T + 75 T^{2} + 420 T^{3} + 2171 T^{4} + 9960 T^{5} + 43585 T^{6} + 177290 T^{7} + 711536 T^{8} + 3013930 T^{9} + 12596065 T^{10} + 48933480 T^{11} + 181324091 T^{12} + 596339940 T^{13} + 1810317675 T^{14} + 4103386730 T^{15} + 6975757441 T^{16} \))(\( 1 - 30 T + 500 T^{2} - 5990 T^{3} + 56782 T^{4} - 447460 T^{5} + 3015460 T^{6} - 17669550 T^{7} + 90820363 T^{8} - 409992380 T^{9} + 1611336300 T^{10} - 5357847740 T^{11} + 13820507184 T^{12} - 18014105810 T^{13} - 71676889400 T^{14} + 711604275870 T^{15} - 3544790874535 T^{16} + 12097272689790 T^{17} - 20714621036600 T^{18} - 88503301844530 T^{19} + 1154302580514864 T^{20} - 7607377618573180 T^{21} + 38893741123454700 T^{22} - 168235729149311740 T^{23} + 633540822991571083 T^{24} - 2095394413157566350 T^{25} + 6079148967047941540 T^{26} - 15335302721813462180 T^{27} + 33082455874380289102 T^{28} - 59328422417106562630 T^{29} + 84188913279700464500 T^{30} - 85872691545294473790 T^{31} + 48661191875666868481 T^{32} \))(\( 1 - 4 T^{2} + 514 T^{4} - 2824 T^{6} + 133771 T^{8} + 1671148 T^{10} + 1558516 T^{12} + 1283966848 T^{14} - 7563163843 T^{16} + 371066419072 T^{18} + 130168814836 T^{20} + 40337450159212 T^{22} + 933154048640011 T^{24} - 5693166774867976 T^{26} + 299467829936097154 T^{28} - 673511306237603716 T^{30} + 48661191875666868481 T^{32} \))(\( 1 + 188 T^{4} - 45306 T^{8} + 15701948 T^{12} + 6975757441 T^{16} \))(\( ( 1 + 47 T^{4} + 83521 T^{8} )^{2} \))(\( ( 1 + 289 T^{4} )^{4} \))(\( ( 1 - 8 T + 32 T^{2} - 136 T^{3} + 289 T^{4} )^{2}( 1 + 8 T + 32 T^{2} + 136 T^{3} + 289 T^{4} )^{2} \))(\( ( 1 + 289 T^{4} )^{4} \))(\( ( 1 + 47 T^{4} + 83521 T^{8} )^{2} \))(\( ( 1 - 8 T + 32 T^{2} - 136 T^{3} + 289 T^{4} )^{2}( 1 + 8 T + 32 T^{2} + 136 T^{3} + 289 T^{4} )^{2} \))(\( 1 - 356 T^{4} + 24298 T^{8} + 31798576 T^{12} - 15547912973 T^{16} + 2655848866096 T^{20} + 169496954301418 T^{24} - 207413516453794916 T^{28} + 48661191875666868481 T^{32} \))(\( ( 1 - T + 14 T^{2} - 37 T^{3} + 359 T^{4} - 629 T^{5} + 4046 T^{6} - 4913 T^{7} + 83521 T^{8} )^{2} \))(\( 1 + 254 T^{4} + 7920 T^{6} + 148035 T^{8} + 2011680 T^{10} + 67255996 T^{12} + 940160160 T^{14} + 18529167749 T^{16} + 271706286240 T^{18} + 5617288041916 T^{20} + 48557064805920 T^{22} + 1032656252778435 T^{24} + 15966671691556080 T^{26} + 147986048256359294 T^{28} + 48661191875666868481 T^{32} \))(\( 1 + 120 T^{2} + 6934 T^{4} + 246280 T^{6} + 5559915 T^{8} + 64132600 T^{10} - 532570324 T^{12} - 41573911040 T^{14} - 955095750571 T^{16} - 12014860290560 T^{18} - 44480806030804 T^{20} + 1548005057649400 T^{22} + 38784618432577515 T^{24} + 496498977802579720 T^{26} + 4039902592951162774 T^{28} + 20205339187128111480 T^{30} + 48661191875666868481 T^{32} \))(\( 1 - 80 T^{2} + 3974 T^{4} - 147920 T^{6} + 4462555 T^{8} - 114064400 T^{10} + 2550078076 T^{12} - 50683682400 T^{14} + 906436851429 T^{16} - 14647584213600 T^{18} + 212985070985596 T^{20} - 2753237325443600 T^{22} + 31129701247121755 T^{24} - 298205817754416080 T^{26} + 2315340770751070214 T^{28} - 13470226124752074320 T^{30} + 48661191875666868481 T^{32} \))
$19$ (\( 1 + 4 T + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 - 5 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 - 5 T + 19 T^{2} \))(\( ( 1 - 4 T + 19 T^{2} )^{2} \))(\( ( 1 - 4 T + 19 T^{2} )^{2} \))(\( ( 1 + 5 T + 19 T^{2} )^{2} \))(\( ( 1 - 4 T + 19 T^{2} )^{2} \))(\( ( 1 + 4 T + 19 T^{2} )^{2} \))(\( ( 1 - 6 T + 19 T^{2} )^{2} \))(\( ( 1 + 7 T + 19 T^{2} )^{2} \))(\( ( 1 - 5 T + 19 T^{2} )^{2} \))(\( ( 1 + 4 T + 19 T^{2} )^{2} \))(\( ( 1 + 7 T + 19 T^{2} )^{2} \))(\( ( 1 - 6 T + 19 T^{2} )^{2} \))(\( ( 1 + 4 T + 19 T^{2} )^{2} \))(\( ( 1 + T + 19 T^{2} )^{2} \))(\( ( 1 - T + 30 T^{2} - 19 T^{3} + 361 T^{4} )^{2} \))(\( ( 1 + 6 T + 41 T^{2} + 114 T^{3} + 361 T^{4} )^{2} \))(\( ( 1 - 10 T + 57 T^{2} - 190 T^{3} + 361 T^{4} )^{2} \))(\( ( 1 - 10 T + 57 T^{2} - 190 T^{3} + 361 T^{4} )^{2} \))(\( ( 1 + 6 T + 41 T^{2} + 114 T^{3} + 361 T^{4} )^{2} \))(\( ( 1 - 34 T^{2} + 361 T^{4} )^{2} \))(\( ( 1 + 26 T^{2} + 361 T^{4} )^{2} \))(\( ( 1 - 34 T^{2} + 361 T^{4} )^{2} \))(\( 1 + 10 T + 21 T^{2} - 70 T^{3} - 469 T^{4} - 1330 T^{5} + 7581 T^{6} + 68590 T^{7} + 130321 T^{8} \))(\( 1 + 21 T^{2} - 10 T^{3} + 381 T^{4} - 190 T^{5} + 7581 T^{6} + 130321 T^{8} \))(\( 1 + 16 T + 117 T^{2} + 578 T^{3} + 2525 T^{4} + 10982 T^{5} + 42237 T^{6} + 109744 T^{7} + 130321 T^{8} \))(\( ( 1 - 4 T - 3 T^{2} - 62 T^{3} + 605 T^{4} - 1178 T^{5} - 1083 T^{6} - 27436 T^{7} + 130321 T^{8} )^{2} \))(\( ( 1 - 15 T + 93 T^{2} - 285 T^{3} + 361 T^{4} )^{2}( 1 + 10 T + 41 T^{2} - 10 T^{3} - 509 T^{4} - 190 T^{5} + 14801 T^{6} + 68590 T^{7} + 130321 T^{8} ) \))(\( 1 + 8 T + 39 T^{2} + 342 T^{3} + 2286 T^{4} + 14478 T^{5} + 82544 T^{6} + 405542 T^{7} + 2240021 T^{8} + 11413658 T^{9} + 55478694 T^{10} + 251121822 T^{11} + 1042225791 T^{12} + 4771314618 T^{13} + 20027808534 T^{14} + 78286280222 T^{15} + 291921776741 T^{16} + 1004162140658 T^{17} + 3883355201264 T^{18} + 12941475037242 T^{19} + 38824425111726 T^{20} + 110359192640418 T^{21} + 239111584054239 T^{22} + 931922071185752 T^{23} + 2213314919066161 T^{24} \))(\( 1 + 8 T + 39 T^{2} + 342 T^{3} + 2286 T^{4} + 14478 T^{5} + 82544 T^{6} + 405542 T^{7} + 2240021 T^{8} + 11413658 T^{9} + 55478694 T^{10} + 251121822 T^{11} + 1042225791 T^{12} + 4771314618 T^{13} + 20027808534 T^{14} + 78286280222 T^{15} + 291921776741 T^{16} + 1004162140658 T^{17} + 3883355201264 T^{18} + 12941475037242 T^{19} + 38824425111726 T^{20} + 110359192640418 T^{21} + 239111584054239 T^{22} + 931922071185752 T^{23} + 2213314919066161 T^{24} \))(\( ( 1 + 5 T + 19 T^{2} )^{4} \))(\( ( 1 - 7 T + 19 T^{2} )^{4} \))(\( ( 1 - 4 T + 19 T^{2} )^{4} \))(\( ( 1 - 4 T + 19 T^{2} )^{4} \))(\( ( 1 - T + 19 T^{2} )^{4} \))(\( ( 1 + 10 T + 57 T^{2} + 190 T^{3} + 361 T^{4} )^{4} \))(\( ( 1 + T + 30 T^{2} + 19 T^{3} + 361 T^{4} )^{4} \))(\( 1 + 8 T - 10 T^{2} - 270 T^{3} - 565 T^{4} + 5224 T^{5} + 28422 T^{6} - 55860 T^{7} - 788595 T^{8} - 1061340 T^{9} + 10260342 T^{10} + 35831416 T^{11} - 73631365 T^{12} - 668546730 T^{13} - 470458810 T^{14} + 7150973912 T^{15} + 16983563041 T^{16} \))(\( 1 - 10 T + 22 T^{2} - 30 T^{3} + 1023 T^{4} - 4210 T^{5} - 4736 T^{6} - 17200 T^{7} + 424105 T^{8} - 326800 T^{9} - 1709696 T^{10} - 28876390 T^{11} + 133318383 T^{12} - 74282970 T^{13} + 1035009382 T^{14} - 8938717390 T^{15} + 16983563041 T^{16} \))(\( 1 + 24 T^{2} - 30 T^{3} + 330 T^{4} + 740 T^{5} + 7630 T^{6} + 18810 T^{7} + 160255 T^{8} - 244020 T^{9} + 7105152 T^{10} - 5384250 T^{11} + 141174008 T^{12} - 174364190 T^{13} + 1779959840 T^{14} + 4165821270 T^{15} + 38170716365 T^{16} + 79150604130 T^{17} + 642565502240 T^{18} - 1195963979210 T^{19} + 18397937896568 T^{20} - 13331936040750 T^{21} + 334268135478912 T^{22} - 218122581750780 T^{23} + 2721700895135455 T^{24} + 6069755595222990 T^{25} + 46780035547021630 T^{26} + 86202791584682060 T^{27} + 730393923291833130 T^{28} - 1261589503867711770 T^{29} + 19176160458789218904 T^{30} + \)\(28\!\cdots\!81\)\( T^{32} \))(\( ( 1 + 8 T + 10 T^{2} - 90 T^{3} - 225 T^{4} + 3464 T^{5} + 17692 T^{6} - 28120 T^{7} - 383015 T^{8} - 534280 T^{9} + 6386812 T^{10} + 23759576 T^{11} - 29322225 T^{12} - 222848910 T^{13} + 470458810 T^{14} + 7150973912 T^{15} + 16983563041 T^{16} )^{2} \))(\( ( 1 - 32 T^{2} + 594 T^{4} - 11552 T^{6} + 130321 T^{8} )^{2} \))(\( ( 1 - 22 T^{2} + 361 T^{4} )^{4} \))(\( ( 1 - 14 T^{2} + 339 T^{4} - 5054 T^{6} + 130321 T^{8} )^{2} \))(\( ( 1 - 34 T^{2} + 361 T^{4} )^{4} \))(\( ( 1 - 14 T^{2} + 339 T^{4} - 5054 T^{6} + 130321 T^{8} )^{2} \))(\( ( 1 + 11 T^{2} + 361 T^{4} )^{4} \))(\( ( 1 - 13 T^{2} + 361 T^{4} )^{4} \))(\( ( 1 - 100 T^{2} + 5038 T^{4} - 162424 T^{6} + 3656035 T^{8} - 58635064 T^{10} + 656557198 T^{12} - 4704588100 T^{14} + 16983563041 T^{16} )^{2} \))(\( ( 1 - 7 T + 73 T^{3} - 151 T^{4} + 1387 T^{5} - 48013 T^{7} + 130321 T^{8} )^{2} \))(\( ( 1 + 10 T + 64 T^{2} + 490 T^{3} + 3215 T^{4} + 17550 T^{5} + 94576 T^{6} + 460240 T^{7} + 2031909 T^{8} + 8744560 T^{9} + 34141936 T^{10} + 120375450 T^{11} + 418982015 T^{12} + 1213288510 T^{13} + 3010936384 T^{14} + 8938717390 T^{15} + 16983563041 T^{16} )^{2} \))(\( ( 1 - 20 T + 194 T^{2} - 1180 T^{3} + 4675 T^{4} - 9700 T^{5} - 16704 T^{6} + 265000 T^{7} - 1452571 T^{8} + 5035000 T^{9} - 6030144 T^{10} - 66532300 T^{11} + 609250675 T^{12} - 2921796820 T^{13} + 9126900914 T^{14} - 17877434780 T^{15} + 16983563041 T^{16} )^{2} \))(\( ( 1 - 10 T + 84 T^{2} - 570 T^{3} + 3295 T^{4} - 17270 T^{5} + 86976 T^{6} - 412920 T^{7} + 1808949 T^{8} - 7845480 T^{9} + 31398336 T^{10} - 118454930 T^{11} + 429407695 T^{12} - 1411376430 T^{13} + 3951854004 T^{14} - 8938717390 T^{15} + 16983563041 T^{16} )^{2} \))
$23$ (\( 1 + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 - 6 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( ( 1 - 23 T^{2} )^{2} \))(\( ( 1 - 23 T^{2} )^{2} \))(\( 1 - 10 T^{2} + 529 T^{4} \))(\( ( 1 - 23 T^{2} )^{2} \))(\( 1 + 6 T + 13 T^{2} + 138 T^{3} + 529 T^{4} \))(\( 1 + T - 22 T^{2} + 23 T^{3} + 529 T^{4} \))(\( 1 - 23 T^{2} + 529 T^{4} \))(\( 1 - 6 T + 13 T^{2} - 138 T^{3} + 529 T^{4} \))(\( 1 - 9 T + 58 T^{2} - 207 T^{3} + 529 T^{4} \))(\( 1 - 23 T^{2} + 529 T^{4} \))(\( 1 - T - 22 T^{2} - 23 T^{3} + 529 T^{4} \))(\( 1 - 6 T + 13 T^{2} - 138 T^{3} + 529 T^{4} \))(\( 1 + 6 T + 13 T^{2} + 138 T^{3} + 529 T^{4} \))(\( 1 + 3 T - 31 T^{2} - 18 T^{3} + 864 T^{4} - 414 T^{5} - 16399 T^{6} + 36501 T^{7} + 279841 T^{8} \))(\( 1 - 4 T - 10 T^{2} + 80 T^{3} - 221 T^{4} + 1840 T^{5} - 5290 T^{6} - 48668 T^{7} + 279841 T^{8} \))(\( 1 - 40 T^{2} + 1071 T^{4} - 21160 T^{6} + 279841 T^{8} \))(\( 1 - 40 T^{2} + 1071 T^{4} - 21160 T^{6} + 279841 T^{8} \))(\( 1 + 4 T - 10 T^{2} - 80 T^{3} - 221 T^{4} - 1840 T^{5} - 5290 T^{6} + 48668 T^{7} + 279841 T^{8} \))(\( 1 - 958 T^{4} + 279841 T^{8} \))(\( 1 - 158 T^{4} + 279841 T^{8} \))(\( 1 - 958 T^{4} + 279841 T^{8} \))(\( 1 + 9 T + 8 T^{2} - 195 T^{3} - 1259 T^{4} - 4485 T^{5} + 4232 T^{6} + 109503 T^{7} + 279841 T^{8} \))(\( 1 - 6 T + 13 T^{2} + 60 T^{3} - 659 T^{4} + 1380 T^{5} + 6877 T^{6} - 73002 T^{7} + 279841 T^{8} \))(\( 1 - 10 T + 37 T^{2} - 200 T^{3} + 1389 T^{4} - 4600 T^{5} + 19573 T^{6} - 121670 T^{7} + 279841 T^{8} \))(\( ( 1 - 10 T + 37 T^{2} - 200 T^{3} + 1389 T^{4} - 4600 T^{5} + 19573 T^{6} - 121670 T^{7} + 279841 T^{8} )^{2} \))(\( 1 - 3 T + 17 T^{2} + 26 T^{3} + 866 T^{4} + 2257 T^{5} - 7690 T^{6} + 132948 T^{7} + 158519 T^{8} + 3057804 T^{9} - 4068010 T^{10} + 27460919 T^{11} + 242342306 T^{12} + 167344918 T^{13} + 2516610113 T^{14} - 10214476341 T^{15} + 78310985281 T^{16} \))(\( 1 + T^{2} - 50 T^{3} + 604 T^{4} + 4450 T^{5} - 3500 T^{6} - 55450 T^{7} - 131975 T^{8} + 1781050 T^{9} + 11647136 T^{10} - 36925050 T^{11} - 137469589 T^{12} - 849276150 T^{13} + 6161334944 T^{14} + 21670035350 T^{15} - 36932015975 T^{16} - 356895219350 T^{17} - 518125611500 T^{18} + 15151473239150 T^{19} + 47299835109724 T^{20} - 90057633073150 T^{21} + 41426511213649 T^{22} + 21914624432020321 T^{24} \))(\( 1 + T^{2} + 50 T^{3} + 604 T^{4} - 4450 T^{5} - 3500 T^{6} + 55450 T^{7} - 131975 T^{8} - 1781050 T^{9} + 11647136 T^{10} + 36925050 T^{11} - 137469589 T^{12} + 849276150 T^{13} + 6161334944 T^{14} - 21670035350 T^{15} - 36932015975 T^{16} + 356895219350 T^{17} - 518125611500 T^{18} - 15151473239150 T^{19} + 47299835109724 T^{20} + 90057633073150 T^{21} + 41426511213649 T^{22} + 21914624432020321 T^{24} \))(\( 1 + 10 T^{2} - 429 T^{4} + 5290 T^{6} + 279841 T^{8} \))(\( ( 1 + 23 T^{2} + 529 T^{4} )^{2} \))(\( 1 - 35 T^{2} + 696 T^{4} - 18515 T^{6} + 279841 T^{8} \))(\( 1 + 10 T^{2} - 429 T^{4} + 5290 T^{6} + 279841 T^{8} \))(\( 1 + 10 T^{2} - 429 T^{4} + 5290 T^{6} + 279841 T^{8} \))(\( ( 1 + 40 T^{2} + 1071 T^{4} + 21160 T^{6} + 279841 T^{8} )^{2} \))(\( 1 + 71 T^{2} + 2797 T^{4} + 84206 T^{6} + 2089006 T^{8} + 44544974 T^{10} + 782715277 T^{12} + 10510548119 T^{14} + 78310985281 T^{16} \))(\( 1 - 10 T + 116 T^{2} - 950 T^{3} + 6927 T^{4} - 45910 T^{5} + 267168 T^{6} - 1460600 T^{7} + 7269605 T^{8} - 33593800 T^{9} + 141331872 T^{10} - 558586970 T^{11} + 1938458607 T^{12} - 6114525850 T^{13} + 17172163124 T^{14} - 34048254470 T^{15} + 78310985281 T^{16} \))(\( 1 + 10 T + 105 T^{2} + 790 T^{3} + 5156 T^{4} + 30260 T^{5} + 156735 T^{6} + 798320 T^{7} + 3801671 T^{8} + 18361360 T^{9} + 82912815 T^{10} + 368173420 T^{11} + 1442860196 T^{12} + 5084710970 T^{13} + 15543768345 T^{14} + 34048254470 T^{15} + 78310985281 T^{16} \))(\( 1 - 10 T + 30 T^{2} + 250 T^{3} - 2718 T^{4} + 8680 T^{5} + 13790 T^{6} - 227450 T^{7} + 942143 T^{8} - 3042820 T^{9} + 4039430 T^{10} + 83513580 T^{11} - 909320196 T^{12} + 3918445730 T^{13} - 578679600 T^{14} - 92103435490 T^{15} + 633292773765 T^{16} - 2118379016270 T^{17} - 306121508400 T^{18} + 47675729196910 T^{19} - 254465072968836 T^{20} + 537522046037940 T^{21} + 597980611103270 T^{22} - 10360270966640540 T^{23} + 73780146605597183 T^{24} - 409672172849759350 T^{25} + 571271589636219710 T^{26} + 8270388698692886360 T^{27} - 59563949206231232478 T^{28} + \)\(12\!\cdots\!50\)\( T^{29} + \)\(34\!\cdots\!70\)\( T^{30} - \)\(26\!\cdots\!70\)\( T^{31} + \)\(61\!\cdots\!61\)\( T^{32} \))(\( 1 + 92 T^{2} + 3170 T^{4} + 33160 T^{6} - 518445 T^{8} - 6754564 T^{10} + 15464652 T^{12} - 19324637120 T^{14} - 817634880635 T^{16} - 10222733036480 T^{18} + 4327643680332 T^{20} - 999917886547396 T^{22} - 40599938764008045 T^{24} + 1373703111844600840 T^{26} + 69469359449504417570 T^{28} + \)\(10\!\cdots\!28\)\( T^{30} + \)\(61\!\cdots\!61\)\( T^{32} \))(\( 1 - 967 T^{4} + 655248 T^{8} - 270606247 T^{12} + 78310985281 T^{16} \))(\( 1 + 958 T^{4} + 637923 T^{8} + 268087678 T^{12} + 78310985281 T^{16} \))(\( 1 + 108 T^{2} + 5818 T^{4} + 208440 T^{6} + 5501811 T^{8} + 110264760 T^{10} + 1628114938 T^{12} + 15987876012 T^{14} + 78310985281 T^{16} \))(\( 1 - 311 T^{4} - 183120 T^{8} - 87030551 T^{12} + 78310985281 T^{16} \))(\( 1 - 108 T^{2} + 5818 T^{4} - 208440 T^{6} + 5501811 T^{8} - 110264760 T^{10} + 1628114938 T^{12} - 15987876012 T^{14} + 78310985281 T^{16} \))(\( 1 + 958 T^{4} + 637923 T^{8} + 268087678 T^{12} + 78310985281 T^{16} \))(\( 1 + 958 T^{4} + 637923 T^{8} + 268087678 T^{12} + 78310985281 T^{16} \))(\( 1 - 24 T + 288 T^{2} - 2304 T^{3} + 14956 T^{4} - 93528 T^{5} + 591552 T^{6} - 3510696 T^{7} + 18949162 T^{8} - 98431632 T^{9} + 520135776 T^{10} - 2742734952 T^{11} + 13919721136 T^{12} - 68549757432 T^{13} + 335617355232 T^{14} - 1641179221488 T^{15} + 7932015899923 T^{16} - 37747122094224 T^{17} + 177541580917728 T^{18} - 834044898675144 T^{19} + 3895308682419376 T^{20} - 17653182909160536 T^{21} + 76998762000864864 T^{22} - 335142525423339504 T^{23} + 1483927546469284522 T^{24} - 6323299443987508248 T^{25} + 24505935561456493248 T^{26} - 89114391038173764456 T^{27} + \)\(32\!\cdots\!76\)\( T^{28} - \)\(11\!\cdots\!32\)\( T^{29} + \)\(33\!\cdots\!92\)\( T^{30} - \)\(63\!\cdots\!68\)\( T^{31} + \)\(61\!\cdots\!61\)\( T^{32} \))(\( 1 - 5 T + 33 T^{2} + 90 T^{3} - 730 T^{4} + 6315 T^{5} - 5362 T^{6} - 65600 T^{7} + 727839 T^{8} - 1508800 T^{9} - 2836498 T^{10} + 76834605 T^{11} - 204283930 T^{12} + 579270870 T^{13} + 4885184337 T^{14} - 17024127235 T^{15} + 78310985281 T^{16} \))(\( 1 - 20 T^{2} - 1142 T^{4} + 38020 T^{6} + 43043 T^{8} - 23628420 T^{10} + 598894036 T^{12} + 5084006440 T^{14} - 464001309675 T^{16} + 2689439406760 T^{18} + 167595105928276 T^{20} - 3497854160365380 T^{22} + 3370739739450083 T^{24} + 1575035956342934980 T^{26} - 25026501101367206582 T^{28} - \)\(23\!\cdots\!80\)\( T^{30} + \)\(61\!\cdots\!61\)\( T^{32} \))(\( 1 - 80 T^{2} + 2318 T^{4} - 3200 T^{6} - 1874717 T^{8} + 61433680 T^{10} - 500626244 T^{12} - 26881238400 T^{14} + 1068565235205 T^{16} - 14220175113600 T^{18} - 140095748747204 T^{20} + 9094389433341520 T^{22} - 146810935393040477 T^{24} - 132564835883676800 T^{26} + 50798099433423104078 T^{28} - \)\(92\!\cdots\!20\)\( T^{30} + \)\(61\!\cdots\!61\)\( T^{32} \))(\( 1 + 120 T^{2} + 6318 T^{4} + 163820 T^{6} + 993803 T^{8} - 53927760 T^{10} - 610383064 T^{12} + 54470742040 T^{14} + 2185815167925 T^{16} + 28815022539160 T^{18} - 170810207012824 T^{20} - 7983243893378640 T^{22} + 77825692105213643 T^{24} + 6786491067019979180 T^{26} + \)\(13\!\cdots\!78\)\( T^{28} + \)\(13\!\cdots\!80\)\( T^{30} + \)\(61\!\cdots\!61\)\( T^{32} \))
$29$ (\( 1 - 6 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( 1 + 29 T^{2} \))(\( ( 1 + 6 T + 29 T^{2} )^{2} \))(\( ( 1 + 6 T + 29 T^{2} )^{2} \))(\( ( 1 + 29 T^{2} )^{2} \))(\( ( 1 - 6 T + 29 T^{2} )^{2} \))(\( 1 - 6 T + 7 T^{2} - 174 T^{3} + 841 T^{4} \))(\( 1 + 9 T + 52 T^{2} + 261 T^{3} + 841 T^{4} \))(\( 1 - 6 T + 7 T^{2} - 174 T^{3} + 841 T^{4} \))(\( 1 + 6 T + 7 T^{2} + 174 T^{3} + 841 T^{4} \))(\( 1 + 3 T - 20 T^{2} + 87 T^{3} + 841 T^{4} \))(\( 1 - 6 T + 7 T^{2} - 174 T^{3} + 841 T^{4} \))(\( 1 + 9 T + 52 T^{2} + 261 T^{3} + 841 T^{4} \))(\( 1 - 6 T + 7 T^{2} - 174 T^{3} + 841 T^{4} \))(\( 1 + 6 T + 7 T^{2} + 174 T^{3} + 841 T^{4} \))(\( 1 - 3 T - 43 T^{2} + 18 T^{3} + 1602 T^{4} + 522 T^{5} - 36163 T^{6} - 73167 T^{7} + 707281 T^{8} \))(\( ( 1 - 6 T + 7 T^{2} - 174 T^{3} + 841 T^{4} )^{2} \))(\( 1 - 52 T^{2} + 1863 T^{4} - 43732 T^{6} + 707281 T^{8} \))(\( 1 - 52 T^{2} + 1863 T^{4} - 43732 T^{6} + 707281 T^{8} \))(\( ( 1 - 6 T + 7 T^{2} - 174 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 - 14 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 + 56 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 - 14 T^{2} + 841 T^{4} )^{2} \))(\( 1 + 15 T + 56 T^{2} - 315 T^{3} - 3629 T^{4} - 9135 T^{5} + 47096 T^{6} + 365835 T^{7} + 707281 T^{8} \))(\( 1 - 19 T^{2} - 120 T^{3} + 721 T^{4} - 3480 T^{5} - 15979 T^{6} + 707281 T^{8} \))(\( 1 + 6 T + 47 T^{2} + 288 T^{3} + 2365 T^{4} + 8352 T^{5} + 39527 T^{6} + 146334 T^{7} + 707281 T^{8} \))(\( 1 - 18 T + 160 T^{2} - 1050 T^{3} + 5925 T^{4} - 26514 T^{5} + 92732 T^{6} - 300180 T^{7} + 1280525 T^{8} - 8705220 T^{9} + 77987612 T^{10} - 646649946 T^{11} + 4190639925 T^{12} - 21536706450 T^{13} + 95171731360 T^{14} - 310497773562 T^{15} + 500246412961 T^{16} \))(\( 1 - 15 T + 47 T^{2} + 480 T^{3} - 4732 T^{4} + 16485 T^{5} + 2494 T^{6} - 526050 T^{7} + 4240405 T^{8} - 15255450 T^{9} + 2097454 T^{10} + 402052665 T^{11} - 3346853692 T^{12} + 9845351520 T^{13} + 27956696087 T^{14} - 258748144635 T^{15} + 500246412961 T^{16} \))(\( 1 + 6 T - 65 T^{2} - 144 T^{3} + 3334 T^{4} + 2454 T^{5} - 34326 T^{6} + 111510 T^{7} - 1136681 T^{8} + 3780366 T^{9} + 101840410 T^{10} + 249990 T^{11} - 2493208365 T^{12} + 7249710 T^{13} + 85647784810 T^{14} + 92199346374 T^{15} - 803952874361 T^{16} + 2287198224990 T^{17} - 20417905316646 T^{18} + 42331196462286 T^{19} + 1667821540811974 T^{20} - 2089029020525136 T^{21} - 27345970164513065 T^{22} + 73203058594234974 T^{23} + 353814783205469041 T^{24} \))(\( 1 - 6 T - 65 T^{2} + 144 T^{3} + 3334 T^{4} - 2454 T^{5} - 34326 T^{6} - 111510 T^{7} - 1136681 T^{8} - 3780366 T^{9} + 101840410 T^{10} - 249990 T^{11} - 2493208365 T^{12} - 7249710 T^{13} + 85647784810 T^{14} - 92199346374 T^{15} - 803952874361 T^{16} - 2287198224990 T^{17} - 20417905316646 T^{18} - 42331196462286 T^{19} + 1667821540811974 T^{20} + 2089029020525136 T^{21} - 27345970164513065 T^{22} - 73203058594234974 T^{23} + 353814783205469041 T^{24} \))(\( ( 1 - 6 T + 7 T^{2} - 174 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 + 6 T + 7 T^{2} + 174 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 - 3 T - 20 T^{2} - 87 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 + 6 T + 7 T^{2} + 174 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 - 6 T + 7 T^{2} - 174 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 - 52 T^{2} + 1863 T^{4} - 43732 T^{6} + 707281 T^{8} )^{2} \))(\( ( 1 + 3 T - 43 T^{2} - 18 T^{3} + 1602 T^{4} - 522 T^{5} - 36163 T^{6} + 73167 T^{7} + 707281 T^{8} )^{2} \))(\( 1 - 22 T + 290 T^{2} - 2930 T^{3} + 24395 T^{4} - 175526 T^{5} + 1131792 T^{6} - 6698140 T^{7} + 37055745 T^{8} - 194246060 T^{9} + 951837072 T^{10} - 4280903614 T^{11} + 17254119995 T^{12} - 60097666570 T^{13} + 172498763090 T^{14} - 379497278798 T^{15} + 500246412961 T^{16} \))(\( 1 + 10 T + 47 T^{2} + 470 T^{3} + 4888 T^{4} + 28460 T^{5} + 139689 T^{6} + 999650 T^{7} + 6593475 T^{8} + 28989850 T^{9} + 117478449 T^{10} + 694110940 T^{11} + 3457189528 T^{12} + 9640240030 T^{13} + 27956696087 T^{14} + 172498763090 T^{15} + 500246412961 T^{16} \))(\( 1 - 10 T - 36 T^{2} + 270 T^{3} + 3910 T^{4} - 4460 T^{5} - 185440 T^{6} - 333090 T^{7} + 4522435 T^{8} + 38473780 T^{9} - 69131068 T^{10} - 1395128220 T^{11} - 3409890032 T^{12} + 36344819210 T^{13} + 245632726680 T^{14} - 543098432830 T^{15} - 7660398480495 T^{16} - 15749854552070 T^{17} + 206577123137880 T^{18} + 886413795712690 T^{19} - 2411750431722992 T^{20} - 28615682794524780 T^{21} - 41120771452036828 T^{22} + 663667946139678020 T^{23} + 2262331886599280035 T^{24} - 4832185253102205210 T^{25} - 78015949343189273440 T^{26} - 54414273555047997340 T^{27} + \)\(13\!\cdots\!10\)\( T^{28} + \)\(27\!\cdots\!30\)\( T^{29} - \)\(10\!\cdots\!16\)\( T^{30} - \)\(86\!\cdots\!90\)\( T^{31} + \)\(25\!\cdots\!21\)\( T^{32} \))(\( 1 - 84 T^{2} + 4610 T^{4} - 235420 T^{6} + 11114035 T^{8} - 439686452 T^{10} + 15471460428 T^{12} - 517724582880 T^{14} + 16060864040285 T^{16} - 435406374202080 T^{18} + 10942670002976268 T^{20} - 261535755577347092 T^{22} + 5559756142273007635 T^{24} - 99042896863533319420 T^{26} + \)\(16\!\cdots\!10\)\( T^{28} - \)\(24\!\cdots\!04\)\( T^{30} + \)\(25\!\cdots\!21\)\( T^{32} \))(\( 1 - 106 T^{2} + 6769 T^{4} - 295210 T^{6} + 9797332 T^{8} - 248271610 T^{10} + 4787585089 T^{12} - 63051272026 T^{14} + 500246412961 T^{16} \))(\( ( 1 - 46 T^{2} + 1275 T^{4} - 38686 T^{6} + 707281 T^{8} )^{2} \))(\( ( 1 - 18 T + 188 T^{2} - 1404 T^{3} + 8259 T^{4} - 40716 T^{5} + 158108 T^{6} - 439002 T^{7} + 707281 T^{8} )^{2} \))(\( ( 1 + 17 T^{2} - 552 T^{4} + 14297 T^{6} + 707281 T^{8} )^{2} \))(\( ( 1 + 18 T + 188 T^{2} + 1404 T^{3} + 8259 T^{4} + 40716 T^{5} + 158108 T^{6} + 439002 T^{7} + 707281 T^{8} )^{2} \))(\( ( 1 - 46 T^{2} + 1275 T^{4} - 38686 T^{6} + 707281 T^{8} )^{2} \))(\( ( 1 - 10 T^{2} - 741 T^{4} - 8410 T^{6} + 707281 T^{8} )^{2} \))(\( 1 - 152 T^{2} + 12036 T^{4} - 646864 T^{6} + 26386346 T^{8} - 870522600 T^{10} + 24736791952 T^{12} - 660065237288 T^{14} + 18313327590963 T^{16} - 555114864559208 T^{18} + 17495862948602512 T^{20} - 517807143937554600 T^{22} + 13199674937647830506 T^{24} - \)\(27\!\cdots\!64\)\( T^{26} + \)\(42\!\cdots\!76\)\( T^{28} - \)\(45\!\cdots\!12\)\( T^{30} + \)\(25\!\cdots\!21\)\( T^{32} \))(\( 1 + 6 T + 49 T^{2} + 306 T^{3} + 1896 T^{4} + 3828 T^{5} + 40931 T^{6} + 46368 T^{7} + 168167 T^{8} + 1344672 T^{9} + 34422971 T^{10} + 93361092 T^{11} + 1341004776 T^{12} + 6276411594 T^{13} + 29146342729 T^{14} + 103499257854 T^{15} + 500246412961 T^{16} \))(\( 1 - 192 T^{2} + 16686 T^{4} - 845568 T^{6} + 26196851 T^{8} - 409181376 T^{10} - 4464999396 T^{12} + 516630798336 T^{14} - 19092281863643 T^{16} + 434486501400576 T^{18} - 3158009237802276 T^{20} - 243390624963669696 T^{22} + 13104880743623785811 T^{24} - \)\(35\!\cdots\!68\)\( T^{26} + \)\(59\!\cdots\!26\)\( T^{28} - \)\(57\!\cdots\!52\)\( T^{30} + \)\(25\!\cdots\!21\)\( T^{32} \))(\( 1 - 32 T^{2} + 1646 T^{4} - 47008 T^{6} + 1481171 T^{8} - 25990176 T^{10} - 202052036 T^{12} + 5111955456 T^{14} - 683802514043 T^{16} + 4299154538496 T^{18} - 142907566074116 T^{20} - 15459562801694496 T^{22} + 740950479731857331 T^{24} - 19776605622975848608 T^{26} + \)\(58\!\cdots\!86\)\( T^{28} - \)\(95\!\cdots\!92\)\( T^{30} + \)\(25\!\cdots\!21\)\( T^{32} \))(\( 1 + 8 T^{2} + 406 T^{4} + 28072 T^{6} + 29771 T^{8} - 23577976 T^{10} + 27058604 T^{12} - 6773159744 T^{14} - 1045442657003 T^{16} - 5696227344704 T^{18} + 19138036495724 T^{20} - 14024729986778296 T^{22} + 14892835960261931 T^{24} + 11810093453203242472 T^{26} + \)\(14\!\cdots\!46\)\( T^{28} + \)\(23\!\cdots\!48\)\( T^{30} + \)\(25\!\cdots\!21\)\( T^{32} \))
$31$ (\( 1 + 4 T + 31 T^{2} \))(\( 1 + 8 T + 31 T^{2} \))(\( 1 - 2 T + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 + 8 T + 31 T^{2} \))(\( 1 - 2 T + 31 T^{2} \))(\( ( 1 + 4 T + 31 T^{2} )^{2} \))(\( ( 1 - 8 T + 31 T^{2} )^{2} \))(\( ( 1 - 2 T + 31 T^{2} )^{2} \))(\( ( 1 + 4 T + 31 T^{2} )^{2} \))(\( 1 + 8 T + 33 T^{2} + 248 T^{3} + 961 T^{4} \))(\( 1 - 2 T - 27 T^{2} - 62 T^{3} + 961 T^{4} \))(\( 1 - 10 T + 69 T^{2} - 310 T^{3} + 961 T^{4} \))(\( 1 + 2 T - 27 T^{2} + 62 T^{3} + 961 T^{4} \))(\( ( 1 - 11 T + 31 T^{2} )( 1 + 7 T + 31 T^{2} ) \))(\( 1 - 10 T + 69 T^{2} - 310 T^{3} + 961 T^{4} \))(\( 1 - 2 T - 27 T^{2} - 62 T^{3} + 961 T^{4} \))(\( 1 + 8 T + 33 T^{2} + 248 T^{3} + 961 T^{4} \))(\( ( 1 - 11 T + 31 T^{2} )( 1 + 7 T + 31 T^{2} ) \))(\( 1 - 2 T - 26 T^{2} + 64 T^{3} - 185 T^{4} + 1984 T^{5} - 24986 T^{6} - 59582 T^{7} + 923521 T^{8} \))(\( 1 + 8 T - 8 T^{2} + 80 T^{3} + 2239 T^{4} + 2480 T^{5} - 7688 T^{6} + 238328 T^{7} + 923521 T^{8} \))(\( 1 + 4 T - 44 T^{2} - 8 T^{3} + 2143 T^{4} - 248 T^{5} - 42284 T^{6} + 119164 T^{7} + 923521 T^{8} \))(\( 1 + 4 T - 44 T^{2} - 8 T^{3} + 2143 T^{4} - 248 T^{5} - 42284 T^{6} + 119164 T^{7} + 923521 T^{8} \))(\( 1 + 8 T - 8 T^{2} + 80 T^{3} + 2239 T^{4} + 2480 T^{5} - 7688 T^{6} + 238328 T^{7} + 923521 T^{8} \))(\( ( 1 - 4 T + 31 T^{2} )^{4} \))(\( ( 1 - 4 T + 31 T^{2} )^{4} \))(\( ( 1 - 4 T + 31 T^{2} )^{4} \))(\( 1 - 3 T - 12 T^{2} - 131 T^{3} + 1365 T^{4} - 4061 T^{5} - 11532 T^{6} - 89373 T^{7} + 923521 T^{8} \))(\( 1 + 12 T + 113 T^{2} + 834 T^{3} + 5605 T^{4} + 25854 T^{5} + 108593 T^{6} + 357492 T^{7} + 923521 T^{8} \))(\( ( 1 - T - 39 T^{2} - 31 T^{3} + 961 T^{4} )( 1 + 4 T + 46 T^{2} + 124 T^{3} + 961 T^{4} ) \))(\( 1 - 9 T - 20 T^{2} + 300 T^{3} + 690 T^{4} - 8217 T^{5} - 2797 T^{6} + 139770 T^{7} - 752500 T^{8} + 4332870 T^{9} - 2687917 T^{10} - 244792647 T^{11} + 637229490 T^{12} + 8588745300 T^{13} - 17750073620 T^{14} - 247613526999 T^{15} + 852891037441 T^{16} \))(\( 1 + 9 T + 25 T^{2} + 330 T^{3} + 2510 T^{4} + 7017 T^{5} + 86378 T^{6} + 461340 T^{7} + 675415 T^{8} + 14301540 T^{9} + 83009258 T^{10} + 209043447 T^{11} + 2318037710 T^{12} + 9447619830 T^{13} + 22187592025 T^{14} + 247613526999 T^{15} + 852891037441 T^{16} \))(\( 1 + 3 T - 17 T^{2} + 43 T^{3} + 1721 T^{4} + 6968 T^{5} - 13096 T^{6} + 35514 T^{7} + 2478224 T^{8} + 8032138 T^{9} + 1507368 T^{10} + 182144424 T^{11} + 2061324094 T^{12} + 5646477144 T^{13} + 1448580648 T^{14} + 239285423158 T^{15} + 2288691906704 T^{16} + 1016735668614 T^{17} - 11622748206376 T^{18} + 191707895125448 T^{19} + 1467825475435961 T^{20} + 1136903752908853 T^{21} - 13933680878673617 T^{22} + 76225430689214493 T^{23} + 787662783788549761 T^{24} \))(\( 1 + 3 T - 17 T^{2} + 43 T^{3} + 1721 T^{4} + 6968 T^{5} - 13096 T^{6} + 35514 T^{7} + 2478224 T^{8} + 8032138 T^{9} + 1507368 T^{10} + 182144424 T^{11} + 2061324094 T^{12} + 5646477144 T^{13} + 1448580648 T^{14} + 239285423158 T^{15} + 2288691906704 T^{16} + 1016735668614 T^{17} - 11622748206376 T^{18} + 191707895125448 T^{19} + 1467825475435961 T^{20} + 1136903752908853 T^{21} - 13933680878673617 T^{22} + 76225430689214493 T^{23} + 787662783788549761 T^{24} \))(\( ( 1 + 2 T - 27 T^{2} + 62 T^{3} + 961 T^{4} )^{2} \))(\( ( 1 - 10 T + 69 T^{2} - 310 T^{3} + 961 T^{4} )^{2} \))(\( ( 1 - 11 T + 31 T^{2} )^{2}( 1 + 7 T + 31 T^{2} )^{2} \))(\( ( 1 + 8 T + 33 T^{2} + 248 T^{3} + 961 T^{4} )^{2} \))(\( ( 1 - 11 T + 31 T^{2} )^{2}( 1 + 7 T + 31 T^{2} )^{2} \))(\( ( 1 + 4 T - 44 T^{2} - 8 T^{3} + 2143 T^{4} - 248 T^{5} - 42284 T^{6} + 119164 T^{7} + 923521 T^{8} )^{2} \))(\( ( 1 - 2 T - 26 T^{2} + 64 T^{3} - 185 T^{4} + 1984 T^{5} - 24986 T^{6} - 59582 T^{7} + 923521 T^{8} )^{2} \))(\( 1 - 24 T + 230 T^{2} - 990 T^{3} - 685 T^{4} + 32568 T^{5} - 115202 T^{6} - 726180 T^{7} + 8308045 T^{8} - 22511580 T^{9} - 110709122 T^{10} + 970233288 T^{11} - 632611885 T^{12} - 28342859490 T^{13} + 204125846630 T^{14} - 660302738664 T^{15} + 852891037441 T^{16} \))(\( 1 - 6 T + 5 T^{2} - 110 T^{3} + 1840 T^{4} - 4048 T^{5} - 9417 T^{6} - 113520 T^{7} + 1708895 T^{8} - 3519120 T^{9} - 9049737 T^{10} - 120593968 T^{11} + 1699278640 T^{12} - 3149206610 T^{13} + 4437518405 T^{14} - 165075684666 T^{15} + 852891037441 T^{16} \))(\( 1 + 18 T + 121 T^{2} + 610 T^{3} + 6060 T^{4} + 54724 T^{5} + 309962 T^{6} + 1456784 T^{7} + 9332270 T^{8} + 64865970 T^{9} + 327433735 T^{10} + 1367357590 T^{11} + 7702756335 T^{12} + 47160385620 T^{13} + 227624335970 T^{14} + 1111476930100 T^{15} + 6249005152660 T^{16} + 34455784833100 T^{17} + 218746986867170 T^{18} + 1404955048005420 T^{19} + 7113657233255535 T^{20} + 39146286915106090 T^{21} + 290598645096078535 T^{22} + 1784632401545702670 T^{23} + 7959409441979521070 T^{24} + 38516818529710942064 T^{25} + \)\(25\!\cdots\!62\)\( T^{26} + \)\(13\!\cdots\!44\)\( T^{27} + \)\(47\!\cdots\!60\)\( T^{28} + \)\(14\!\cdots\!10\)\( T^{29} + \)\(91\!\cdots\!41\)\( T^{30} + \)\(42\!\cdots\!18\)\( T^{31} + \)\(72\!\cdots\!81\)\( T^{32} \))(\( ( 1 - 3 T - 34 T^{2} + 148 T^{3} - 554 T^{4} - 1909 T^{5} + 27369 T^{6} - 24516 T^{7} - 77548 T^{8} - 759996 T^{9} + 26301609 T^{10} - 56871019 T^{11} - 511630634 T^{12} + 4237114348 T^{13} - 30175125154 T^{14} - 82537842333 T^{15} + 852891037441 T^{16} )^{2} \))(\( ( 1 - 4 T - 44 T^{2} + 8 T^{3} + 2143 T^{4} + 248 T^{5} - 42284 T^{6} - 119164 T^{7} + 923521 T^{8} )^{2} \))(\( ( 1 - 7 T + 31 T^{2} )^{4}( 1 + 11 T + 31 T^{2} )^{4} \))(\( ( 1 - 10 T + 40 T^{2} + 20 T^{3} - 461 T^{4} + 620 T^{5} + 38440 T^{6} - 297910 T^{7} + 923521 T^{8} )^{2} \))(\( ( 1 + 10 T + 69 T^{2} + 310 T^{3} + 961 T^{4} )^{4} \))(\( ( 1 - 10 T + 40 T^{2} + 20 T^{3} - 461 T^{4} + 620 T^{5} + 38440 T^{6} - 297910 T^{7} + 923521 T^{8} )^{2} \))(\( ( 1 - 8 T + 33 T^{2} - 248 T^{3} + 961 T^{4} )^{4} \))(\( ( 1 - 7 T + 31 T^{2} )^{4}( 1 + 11 T + 31 T^{2} )^{4} \))(\( ( 1 + 4 T - 36 T^{2} - 280 T^{3} - 244 T^{4} + 4476 T^{5} + 26680 T^{6} + 13564 T^{7} - 525585 T^{8} + 420484 T^{9} + 25639480 T^{10} + 133344516 T^{11} - 225339124 T^{12} - 8016162280 T^{13} - 31950132516 T^{14} + 110050456444 T^{15} + 852891037441 T^{16} )^{2} \))(\( 1 - 15 T + 121 T^{2} - 210 T^{3} - 3690 T^{4} + 40305 T^{5} - 113986 T^{6} - 550800 T^{7} + 7157039 T^{8} - 17074800 T^{9} - 109540546 T^{10} + 1200726255 T^{11} - 3407792490 T^{12} - 6012121710 T^{13} + 107387945401 T^{14} - 412689211665 T^{15} + 852891037441 T^{16} \))(\( ( 1 - 2 T - 49 T^{2} + 72 T^{3} - 49 T^{4} + 9284 T^{5} + 12189 T^{6} - 289254 T^{7} + 502152 T^{8} - 8966874 T^{9} + 11713629 T^{10} + 276579644 T^{11} - 45252529 T^{12} + 2061298872 T^{13} - 43487680369 T^{14} - 55025228222 T^{15} + 852891037441 T^{16} )^{2} \))(\( ( 1 + 8 T + 46 T^{2} + 132 T^{3} + 1451 T^{4} - 2536 T^{5} - 53176 T^{6} - 483904 T^{7} - 1408043 T^{8} - 15001024 T^{9} - 51102136 T^{10} - 75549976 T^{11} + 1340028971 T^{12} + 3779047932 T^{13} + 40825169326 T^{14} + 220100912888 T^{15} + 852891037441 T^{16} )^{2} \))(\( ( 1 - 22 T + 196 T^{2} - 1098 T^{3} + 6311 T^{4} - 30226 T^{5} + 65144 T^{6} - 236644 T^{7} + 2436517 T^{8} - 7335964 T^{9} + 62603384 T^{10} - 900462766 T^{11} + 5828341031 T^{12} - 31434807798 T^{13} + 173950721476 T^{14} - 605277510442 T^{15} + 852891037441 T^{16} )^{2} \))
$37$ (\( 1 + 8 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 + 8 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 - 10 T^{2} + 1369 T^{4} \))(\( ( 1 - 12 T + 37 T^{2} )( 1 + 12 T + 37 T^{2} ) \))(\( ( 1 - 12 T + 37 T^{2} )( 1 + 12 T + 37 T^{2} ) \))(\( 1 - 10 T^{2} + 1369 T^{4} \))(\( ( 1 + 8 T + 37 T^{2} )^{2} \))(\( ( 1 - 2 T + 37 T^{2} )^{2} \))(\( ( 1 - 2 T + 37 T^{2} )^{2} \))(\( ( 1 - 4 T + 37 T^{2} )^{2} \))(\( ( 1 + 8 T + 37 T^{2} )^{2} \))(\( ( 1 + 2 T + 37 T^{2} )^{2} \))(\( ( 1 + 2 T + 37 T^{2} )^{2} \))(\( ( 1 - 8 T + 37 T^{2} )^{2} \))(\( ( 1 - 4 T + 37 T^{2} )^{2} \))(\( ( 1 - 4 T + 37 T^{2} )^{4} \))(\( ( 1 + 8 T + 37 T^{2} )^{4} \))(\( ( 1 - 8 T + 36 T^{2} - 296 T^{3} + 1369 T^{4} )^{2} \))(\( ( 1 + 8 T + 36 T^{2} + 296 T^{3} + 1369 T^{4} )^{2} \))(\( ( 1 - 8 T + 37 T^{2} )^{4} \))(\( ( 1 + 6 T + 18 T^{2} + 222 T^{3} + 1369 T^{4} )^{2} \))(\( ( 1 - 6 T + 18 T^{2} - 222 T^{3} + 1369 T^{4} )^{2} \))(\( ( 1 - 6 T + 18 T^{2} - 222 T^{3} + 1369 T^{4} )^{2} \))(\( 1 + 17 T + 147 T^{2} + 1135 T^{3} + 7976 T^{4} + 41995 T^{5} + 201243 T^{6} + 861101 T^{7} + 1874161 T^{8} \))(\( 1 - 13 T + 27 T^{2} + 445 T^{3} - 4264 T^{4} + 16465 T^{5} + 36963 T^{6} - 658489 T^{7} + 1874161 T^{8} \))(\( 1 + 8 T + 27 T^{2} - 80 T^{3} - 1639 T^{4} - 2960 T^{5} + 36963 T^{6} + 405224 T^{7} + 1874161 T^{8} \))(\( 1 - 21 T + 258 T^{2} - 2462 T^{3} + 19746 T^{4} - 143741 T^{5} + 980785 T^{6} - 6308436 T^{7} + 38864404 T^{8} - 233412132 T^{9} + 1342694665 T^{10} - 7280912873 T^{11} + 37007183106 T^{12} - 170724822134 T^{13} + 661957413522 T^{14} - 1993569419793 T^{15} + 3512479453921 T^{16} \))(\( 1 + 6 T - 27 T^{2} - 318 T^{3} - 99 T^{4} + 14106 T^{5} + 58255 T^{6} - 123234 T^{7} - 1122756 T^{8} - 4559658 T^{9} + 79751095 T^{10} + 714511218 T^{11} - 185541939 T^{12} - 22051378326 T^{13} - 69274613043 T^{14} + 569591262798 T^{15} + 3512479453921 T^{16} \))(\( 1 + 8 T - 48 T^{2} - 440 T^{3} + 1217 T^{4} + 8308 T^{5} - 96890 T^{6} - 403256 T^{7} + 3422938 T^{8} + 15342208 T^{9} - 44309010 T^{10} - 109014876 T^{11} + 1386361728 T^{12} - 4033550412 T^{13} - 60659034690 T^{14} + 777128861824 T^{15} + 6415136905018 T^{16} - 27963366723992 T^{17} - 248593231768010 T^{18} + 788694035220964 T^{19} + 4274687495421857 T^{20} - 57183165509833880 T^{21} - 230812049876056752 T^{22} + 1423340974235683304 T^{23} + 6582952005840035281 T^{24} \))(\( 1 + 8 T - 48 T^{2} - 440 T^{3} + 1217 T^{4} + 8308 T^{5} - 96890 T^{6} - 403256 T^{7} + 3422938 T^{8} + 15342208 T^{9} - 44309010 T^{10} - 109014876 T^{11} + 1386361728 T^{12} - 4033550412 T^{13} - 60659034690 T^{14} + 777128861824 T^{15} + 6415136905018 T^{16} - 27963366723992 T^{17} - 248593231768010 T^{18} + 788694035220964 T^{19} + 4274687495421857 T^{20} - 57183165509833880 T^{21} - 230812049876056752 T^{22} + 1423340974235683304 T^{23} + 6582952005840035281 T^{24} \))(\( ( 1 - 58 T^{2} + 1369 T^{4} )^{2} \))(\( ( 1 - 12 T + 37 T^{2} )^{2}( 1 + 12 T + 37 T^{2} )^{2} \))(\( ( 1 - 10 T^{2} + 1369 T^{4} )^{2} \))(\( ( 1 - 10 T^{2} + 1369 T^{4} )^{2} \))(\( ( 1 - 58 T^{2} + 1369 T^{4} )^{2} \))(\( ( 1 - 8 T^{2} - 702 T^{4} - 10952 T^{6} + 1874161 T^{8} )^{2} \))(\( ( 1 - 58 T^{2} + 1369 T^{4} )^{4} \))(\( 1 + 20 T + 275 T^{2} + 3140 T^{3} + 29831 T^{4} + 251620 T^{5} + 1934025 T^{6} + 13441540 T^{7} + 85392936 T^{8} + 497336980 T^{9} + 2647680225 T^{10} + 12745307860 T^{11} + 55908096791 T^{12} + 217740024980 T^{13} + 705574762475 T^{14} + 1898637542660 T^{15} + 3512479453921 T^{16} \))(\( 1 + 10 T + 65 T^{2} + 230 T^{3} + 1471 T^{4} + 9410 T^{5} + 48855 T^{6} - 117890 T^{7} - 967744 T^{8} - 4361930 T^{9} + 66882495 T^{10} + 476644730 T^{11} + 2756890831 T^{12} + 15949110110 T^{13} + 166772216585 T^{14} + 949318771330 T^{15} + 3512479453921 T^{16} \))(\( 1 - 20 T + 265 T^{2} - 2300 T^{3} + 17532 T^{4} - 115640 T^{5} + 825500 T^{6} - 5506160 T^{7} + 38914148 T^{8} - 253492260 T^{9} + 1794329215 T^{10} - 11470149820 T^{11} + 74232183599 T^{12} - 424648096560 T^{13} + 2693507120800 T^{14} - 16225080394680 T^{15} + 105486161388440 T^{16} - 600327974603160 T^{17} + 3687411248375200 T^{18} - 21509700035053680 T^{19} + 139123063446085439 T^{20} - 795385575901637740 T^{21} + 4603757853365738935 T^{22} - 24064496080486490580 T^{23} + \)\(13\!\cdots\!08\)\( T^{24} - \)\(71\!\cdots\!20\)\( T^{25} + \)\(39\!\cdots\!00\)\( T^{26} - \)\(20\!\cdots\!20\)\( T^{27} + \)\(11\!\cdots\!92\)\( T^{28} - \)\(56\!\cdots\!00\)\( T^{29} + \)\(23\!\cdots\!85\)\( T^{30} - \)\(66\!\cdots\!60\)\( T^{31} + \)\(12\!\cdots\!41\)\( T^{32} \))(\( ( 1 - 5 T + 110 T^{2} - 970 T^{3} + 7756 T^{4} - 73855 T^{5} + 499995 T^{6} - 3335450 T^{7} + 23205836 T^{8} - 123411650 T^{9} + 684493155 T^{10} - 3740977315 T^{11} + 14535992716 T^{12} - 67263638290 T^{13} + 282229904990 T^{14} - 474659385665 T^{15} + 3512479453921 T^{16} )^{2} \))(\( ( 1 - 6 T + 18 T^{2} - 222 T^{3} + 1369 T^{4} )^{4} \))(\( ( 1 - 2062 T^{4} + 1874161 T^{8} )^{2} \))(\( 1 - 644 T^{4} - 1762266 T^{8} - 1206959684 T^{12} + 3512479453921 T^{16} \))(\( ( 1 + 1106 T^{4} + 1874161 T^{8} )^{2} \))(\( 1 - 644 T^{4} - 1762266 T^{8} - 1206959684 T^{12} + 3512479453921 T^{16} \))(\( ( 1 - 2062 T^{4} + 1874161 T^{8} )^{2} \))(\( ( 1 - 2062 T^{4} + 1874161 T^{8} )^{2} \))(\( ( 1 + 576 T^{3} + 1060 T^{4} - 8640 T^{5} + 165888 T^{6} + 634752 T^{7} - 2979546 T^{8} + 23485824 T^{9} + 227100672 T^{10} - 437641920 T^{11} + 1986610660 T^{12} + 39942119232 T^{13} + 3512479453921 T^{16} )^{2} \))(\( ( 1 + 12 T + 27 T^{2} - 430 T^{3} - 4539 T^{4} - 15910 T^{5} + 36963 T^{6} + 607836 T^{7} + 1874161 T^{8} )^{2} \))(\( ( 1 - 4 T - 72 T^{2} + 582 T^{3} + 1211 T^{4} - 30884 T^{5} + 87510 T^{6} + 543576 T^{7} - 6157031 T^{8} + 20112312 T^{9} + 119801190 T^{10} - 1564367252 T^{11} + 2269608971 T^{12} + 40358182974 T^{13} - 184732301448 T^{14} - 379727508532 T^{15} + 3512479453921 T^{16} )^{2} \))(\( ( 1 - 26 T + 263 T^{2} - 692 T^{3} - 11549 T^{4} + 133984 T^{5} - 380795 T^{6} - 3856026 T^{7} + 43560144 T^{8} - 142672962 T^{9} - 521308355 T^{10} + 6786691552 T^{11} - 21644685389 T^{12} - 47986018244 T^{13} + 674786045567 T^{14} - 2468228805458 T^{15} + 3512479453921 T^{16} )^{2} \))(\( ( 1 + 16 T + 113 T^{2} + 382 T^{3} + 591 T^{4} + 4486 T^{5} - 17865 T^{6} - 1039164 T^{7} - 9891776 T^{8} - 38449068 T^{9} - 24457185 T^{10} + 227229358 T^{11} + 1107629151 T^{12} + 26489391574 T^{13} + 289927084217 T^{14} + 1518910034128 T^{15} + 3512479453921 T^{16} )^{2} \))
$41$ (\( 1 + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 - 3 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 - 3 T + 41 T^{2} \))(\( ( 1 + 41 T^{2} )^{2} \))(\( ( 1 - 6 T + 41 T^{2} )^{2} \))(\( ( 1 - 3 T + 41 T^{2} )^{2} \))(\( ( 1 + 41 T^{2} )^{2} \))(\( 1 - 6 T - 5 T^{2} - 246 T^{3} + 1681 T^{4} \))(\( 1 - 11 T + 80 T^{2} - 451 T^{3} + 1681 T^{4} \))(\( 1 + 9 T + 40 T^{2} + 369 T^{3} + 1681 T^{4} \))(\( 1 - 3 T - 32 T^{2} - 123 T^{3} + 1681 T^{4} \))(\( 1 - 3 T - 32 T^{2} - 123 T^{3} + 1681 T^{4} \))(\( 1 + 9 T + 40 T^{2} + 369 T^{3} + 1681 T^{4} \))(\( 1 - 11 T + 80 T^{2} - 451 T^{3} + 1681 T^{4} \))(\( 1 - 6 T - 5 T^{2} - 246 T^{3} + 1681 T^{4} \))(\( 1 + 9 T + 40 T^{2} + 369 T^{3} + 1681 T^{4} \))(\( ( 1 - 3 T - 32 T^{2} - 123 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 - T - 40 T^{2} - 41 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 + 9 T + 40 T^{2} + 369 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 + 9 T + 40 T^{2} + 369 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 - T - 40 T^{2} - 41 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 - 64 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 + 16 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 - 64 T^{2} + 1681 T^{4} )^{2} \))(\( 1 + 13 T + 28 T^{2} - 169 T^{3} - 945 T^{4} - 6929 T^{5} + 47068 T^{6} + 895973 T^{7} + 2825761 T^{8} \))(\( 1 - 12 T + 53 T^{2} - 444 T^{3} + 4405 T^{4} - 18204 T^{5} + 89093 T^{6} - 827052 T^{7} + 2825761 T^{8} \))(\( 1 - 14 T + 95 T^{2} - 786 T^{3} + 6569 T^{4} - 32226 T^{5} + 159695 T^{6} - 964894 T^{7} + 2825761 T^{8} \))(\( 1 + 2 T + 36 T^{2} + 168 T^{3} + 2201 T^{4} + 17286 T^{5} + 84044 T^{6} + 959864 T^{7} + 2420157 T^{8} + 39354424 T^{9} + 141277964 T^{10} + 1191368406 T^{11} + 6219499961 T^{12} + 19463841768 T^{13} + 171003752676 T^{14} + 389508547762 T^{15} + 7984925229121 T^{16} \))(\( 1 - 9 T - 55 T^{2} + 1030 T^{3} - 2470 T^{4} - 35497 T^{5} + 265658 T^{6} + 359550 T^{7} - 11328415 T^{8} + 14741550 T^{9} + 446571098 T^{10} - 2446488737 T^{11} - 6979629670 T^{12} + 119331887030 T^{13} - 261255733255 T^{14} - 1752788464929 T^{15} + 7984925229121 T^{16} \))(\( 1 - 20 T + 57 T^{2} + 1770 T^{3} - 17394 T^{4} - 11990 T^{5} + 1073350 T^{6} - 5109010 T^{7} - 22264525 T^{8} + 321080810 T^{9} - 860930798 T^{10} - 6513044050 T^{11} + 74131341039 T^{12} - 267034806050 T^{13} - 1447224671438 T^{14} + 22129210506010 T^{15} - 62914226428525 T^{16} - 591910489471010 T^{17} + 5098524387077350 T^{18} - 2335103743833190 T^{19} - 138889789435330674 T^{20} + 579466023877310970 T^{21} + 765091580678686857 T^{22} - 11006580634324968820 T^{23} + 22563490300366186081 T^{24} \))(\( 1 + 20 T + 57 T^{2} - 1770 T^{3} - 17394 T^{4} + 11990 T^{5} + 1073350 T^{6} + 5109010 T^{7} - 22264525 T^{8} - 321080810 T^{9} - 860930798 T^{10} + 6513044050 T^{11} + 74131341039 T^{12} + 267034806050 T^{13} - 1447224671438 T^{14} - 22129210506010 T^{15} - 62914226428525 T^{16} + 591910489471010 T^{17} + 5098524387077350 T^{18} + 2335103743833190 T^{19} - 138889789435330674 T^{20} - 579466023877310970 T^{21} + 765091580678686857 T^{22} + 11006580634324968820 T^{23} + 22563490300366186081 T^{24} \))(\( ( 1 - 3 T - 32 T^{2} - 123 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 + 9 T + 40 T^{2} + 369 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 - 3 T - 32 T^{2} - 123 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 - 6 T - 5 T^{2} - 246 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 + 9 T + 40 T^{2} + 369 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 + 9 T + 40 T^{2} + 369 T^{3} + 1681 T^{4} )^{4} \))(\( ( 1 - 3 T - 32 T^{2} - 123 T^{3} + 1681 T^{4} )^{4} \))(\( 1 + 22 T + 146 T^{2} - 142 T^{3} - 6829 T^{4} - 52634 T^{5} - 236776 T^{6} + 967444 T^{7} + 17720057 T^{8} + 39665204 T^{9} - 398020456 T^{10} - 3627587914 T^{11} - 19297121869 T^{12} - 16451580542 T^{13} + 693515219186 T^{14} + 4284594025382 T^{15} + 7984925229121 T^{16} \))(\( 1 - 14 T + 45 T^{2} - 130 T^{3} + 2680 T^{4} - 7652 T^{5} - 46977 T^{6} + 402900 T^{7} - 2944785 T^{8} + 16518900 T^{9} - 78968337 T^{10} - 527383492 T^{11} + 7573039480 T^{12} - 15061306130 T^{13} + 213754690845 T^{14} - 2726559834334 T^{15} + 7984925229121 T^{16} \))(\( 1 + 22 T + 316 T^{2} + 3710 T^{3} + 39530 T^{4} + 407436 T^{5} + 3918652 T^{6} + 35382126 T^{7} + 301988495 T^{8} + 2475859380 T^{9} + 19707200260 T^{10} + 150750040860 T^{11} + 1111070917960 T^{12} + 7891095298530 T^{13} + 54497096107120 T^{14} + 366799083339050 T^{15} + 2387443151993985 T^{16} + 15038762416901050 T^{17} + 91609618556068720 T^{18} + 543862179069986130 T^{19} + 3139620868205567560 T^{20} + 17465327034634372860 T^{21} + 93611255533262302660 T^{22} + \)\(48\!\cdots\!80\)\( T^{23} + \)\(24\!\cdots\!95\)\( T^{24} + \)\(11\!\cdots\!86\)\( T^{25} + \)\(52\!\cdots\!52\)\( T^{26} + \)\(22\!\cdots\!76\)\( T^{27} + \)\(89\!\cdots\!30\)\( T^{28} + \)\(34\!\cdots\!10\)\( T^{29} + \)\(11\!\cdots\!76\)\( T^{30} + \)\(34\!\cdots\!22\)\( T^{31} + \)\(63\!\cdots\!41\)\( T^{32} \))(\( 1 - 64 T^{2} + 5410 T^{4} - 287220 T^{6} + 19007235 T^{8} - 803484352 T^{10} + 43037275588 T^{12} - 1651130949280 T^{14} + 79326977742685 T^{16} - 2775551125739680 T^{18} + 121613054902822468 T^{20} - 3816634428012336832 T^{22} + \)\(15\!\cdots\!35\)\( T^{24} - \)\(38\!\cdots\!20\)\( T^{26} + \)\(12\!\cdots\!10\)\( T^{28} - \)\(24\!\cdots\!04\)\( T^{30} + \)\(63\!\cdots\!41\)\( T^{32} \))(\( ( 1 - 6 T + 65 T^{2} - 318 T^{3} + 1620 T^{4} - 13038 T^{5} + 109265 T^{6} - 413526 T^{7} + 2825761 T^{8} )^{2} \))(\( ( 1 + 12 T + 89 T^{2} + 492 T^{3} + 1681 T^{4} )^{4} \))(\( ( 1 + 3 T + 44 T^{2} + 123 T^{3} + 1681 T^{4} )^{4} \))(\( ( 1 - 15 T + 116 T^{2} - 615 T^{3} + 1681 T^{4} )^{4} \))(\( ( 1 + 3 T + 44 T^{2} + 123 T^{3} + 1681 T^{4} )^{4} \))(\( ( 1 + 21 T + 188 T^{2} + 861 T^{3} + 1681 T^{4} )^{4} \))(\( ( 1 + 3 T + 44 T^{2} + 123 T^{3} + 1681 T^{4} )^{4} \))(\( ( 1 - 12 T + 154 T^{2} - 1272 T^{3} + 9001 T^{4} - 62400 T^{5} + 437338 T^{6} - 2866716 T^{7} + 21170932 T^{8} - 117535356 T^{9} + 735165178 T^{10} - 4300670400 T^{11} + 25434674761 T^{12} - 147369087672 T^{13} + 731516053114 T^{14} - 2337051286572 T^{15} + 7984925229121 T^{16} )^{2} \))(\( 1 - 4 T + 51 T^{2} - 108 T^{3} + 572 T^{4} + 9936 T^{5} - 41743 T^{6} + 458012 T^{7} - 1989729 T^{8} + 18778492 T^{9} - 70169983 T^{10} + 684799056 T^{11} + 1616335292 T^{12} - 12512469708 T^{13} + 242255316291 T^{14} - 779017095524 T^{15} + 7984925229121 T^{16} \))(\( 1 + 148 T^{2} + 10186 T^{4} + 511812 T^{6} + 22120451 T^{8} + 951728644 T^{10} + 50831464964 T^{12} + 2647072625296 T^{14} + 115842725462677 T^{16} + 4449729083122576 T^{18} + 143637571268137604 T^{20} + 4520810268145579204 T^{22} + \)\(17\!\cdots\!71\)\( T^{24} + \)\(68\!\cdots\!12\)\( T^{26} + \)\(22\!\cdots\!66\)\( T^{28} + \)\(56\!\cdots\!28\)\( T^{30} + \)\(63\!\cdots\!41\)\( T^{32} \))(\( 1 + 88 T^{2} + 1766 T^{4} - 111688 T^{6} - 6853269 T^{8} + 23392984 T^{10} + 10813494204 T^{12} + 210775851776 T^{14} - 1464522267323 T^{16} + 354314206835456 T^{18} + 30556350195389244 T^{20} + 111119112508045144 T^{22} - 54722840540052846549 T^{24} - \)\(14\!\cdots\!88\)\( T^{26} + \)\(39\!\cdots\!46\)\( T^{28} + \)\(33\!\cdots\!68\)\( T^{30} + \)\(63\!\cdots\!41\)\( T^{32} \))(\( 1 - 32 T^{2} + 3566 T^{4} - 89088 T^{6} + 5735891 T^{8} - 178432096 T^{10} + 7187309484 T^{12} - 197672681664 T^{14} + 7645459761717 T^{16} - 332287777877184 T^{18} + 20309618834817324 T^{20} - 847571055940119136 T^{22} + 45800660757388081811 T^{24} - \)\(11\!\cdots\!88\)\( T^{26} + \)\(80\!\cdots\!46\)\( T^{28} - \)\(12\!\cdots\!52\)\( T^{30} + \)\(63\!\cdots\!41\)\( T^{32} \))
$43$ (\( 1 + 8 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 - 4 T + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 - 22 T^{2} + 1849 T^{4} \))(\( 1 - 70 T^{2} + 1849 T^{4} \))(\( 1 - 70 T^{2} + 1849 T^{4} \))(\( 1 - 22 T^{2} + 1849 T^{4} \))(\( 1 + T - 42 T^{2} + 43 T^{3} + 1849 T^{4} \))(\( 1 - 4 T - 27 T^{2} - 172 T^{3} + 1849 T^{4} \))(\( 1 - T - 42 T^{2} - 43 T^{3} + 1849 T^{4} \))(\( 1 - 11 T + 78 T^{2} - 473 T^{3} + 1849 T^{4} \))(\( ( 1 - 13 T + 43 T^{2} )( 1 + 5 T + 43 T^{2} ) \))(\( 1 + T - 42 T^{2} + 43 T^{3} + 1849 T^{4} \))(\( 1 + 4 T - 27 T^{2} + 172 T^{3} + 1849 T^{4} \))(\( 1 - T - 42 T^{2} - 43 T^{3} + 1849 T^{4} \))(\( 1 + T - 42 T^{2} + 43 T^{3} + 1849 T^{4} \))(\( 1 + 17 T + 139 T^{2} + 1088 T^{3} + 8224 T^{4} + 46784 T^{5} + 257011 T^{6} + 1351619 T^{7} + 3418801 T^{8} \))(\( 1 - 10 T - 5 T^{2} - 190 T^{3} + 4876 T^{4} - 8170 T^{5} - 9245 T^{6} - 795070 T^{7} + 3418801 T^{8} \))(\( 1 - 10 T - 5 T^{2} - 190 T^{3} + 4876 T^{4} - 8170 T^{5} - 9245 T^{6} - 795070 T^{7} + 3418801 T^{8} \))(\( 1 + 10 T - 5 T^{2} + 190 T^{3} + 4876 T^{4} + 8170 T^{5} - 9245 T^{6} + 795070 T^{7} + 3418801 T^{8} \))(\( 1 + 10 T - 5 T^{2} + 190 T^{3} + 4876 T^{4} + 8170 T^{5} - 9245 T^{6} + 795070 T^{7} + 3418801 T^{8} \))(\( ( 1 + 1849 T^{4} )^{2} \))(\( ( 1 + 1849 T^{4} )^{2} \))(\( ( 1 + 1849 T^{4} )^{2} \))(\( ( 1 + 8 T + 97 T^{2} + 344 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 - 2 T + 82 T^{2} - 86 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 + 2 T + 42 T^{2} + 86 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 + 16 T + 168 T^{2} + 1280 T^{3} + 9326 T^{4} + 55040 T^{5} + 310632 T^{6} + 1272112 T^{7} + 3418801 T^{8} )^{2} \))(\( ( 1 - 6 T + 133 T^{2} - 710 T^{3} + 7916 T^{4} - 30530 T^{5} + 245917 T^{6} - 477042 T^{7} + 3418801 T^{8} )^{2} \))(\( ( 1 - 16 T + 224 T^{2} - 2332 T^{3} + 21051 T^{4} - 167884 T^{5} + 1143752 T^{6} - 7219012 T^{7} + 38923299 T^{8} - 185410324 T^{9} + 765811424 T^{10} - 2352135088 T^{11} + 6321363049 T^{12} )^{2} \))(\( ( 1 - 16 T + 224 T^{2} - 2332 T^{3} + 21051 T^{4} - 167884 T^{5} + 1143752 T^{6} - 7219012 T^{7} + 38923299 T^{8} - 185410324 T^{9} + 765811424 T^{10} - 2352135088 T^{11} + 6321363049 T^{12} )^{2} \))(\( 1 - 35 T^{2} - 624 T^{4} - 64715 T^{6} + 3418801 T^{8} \))(\( 1 + 85 T^{2} + 5376 T^{4} + 157165 T^{6} + 3418801 T^{8} \))(\( ( 1 - 61 T^{2} + 1849 T^{4} )( 1 + 83 T^{2} + 1849 T^{4} ) \))(\( 1 + 85 T^{2} + 5376 T^{4} + 157165 T^{6} + 3418801 T^{8} \))(\( 1 + 85 T^{2} + 5376 T^{4} + 157165 T^{6} + 3418801 T^{8} \))(\( 1 + 110 T^{2} + 5977 T^{4} + 266750 T^{6} + 11699428 T^{8} + 493220750 T^{10} + 20434173577 T^{12} + 695349935390 T^{14} + 11688200277601 T^{16} \))(\( 1 + 11 T^{2} - 1223 T^{4} - 25894 T^{6} - 1836194 T^{8} - 47878006 T^{10} - 4181193623 T^{12} + 69534993539 T^{14} + 11688200277601 T^{16} \))(\( 1 - 120 T^{2} + 10856 T^{4} - 676920 T^{6} + 33149566 T^{8} - 1251625080 T^{10} + 37114503656 T^{12} - 758563565880 T^{14} + 11688200277601 T^{16} \))(\( 1 - 120 T^{2} + 10666 T^{4} - 636400 T^{6} + 31214171 T^{8} - 1176703600 T^{10} + 36464931466 T^{12} - 758563565880 T^{14} + 11688200277601 T^{16} \))(\( 1 - 360 T^{2} + 63972 T^{4} - 7536360 T^{6} + 666842308 T^{8} - 47508203160 T^{10} + 2846509586204 T^{12} - 147613243096600 T^{14} + 6742598283189430 T^{16} - 272936886485613400 T^{18} + 9731649819823821404 T^{20} - \)\(30\!\cdots\!40\)\( T^{22} + \)\(77\!\cdots\!08\)\( T^{24} - \)\(16\!\cdots\!40\)\( T^{26} + \)\(25\!\cdots\!72\)\( T^{28} - \)\(26\!\cdots\!40\)\( T^{30} + \)\(13\!\cdots\!01\)\( T^{32} \))(\( ( 1 - 168 T^{2} + 14140 T^{4} - 823768 T^{6} + 38677094 T^{8} - 1523147032 T^{10} + 48341846140 T^{12} - 1061988992232 T^{14} + 11688200277601 T^{16} )^{2} \))(\( 1 - 1778 T^{4} - 257517 T^{8} - 6078628178 T^{12} + 11688200277601 T^{16} \))(\( 1 + 3577 T^{4} + 9376128 T^{8} + 12229051177 T^{12} + 11688200277601 T^{16} \))(\( 1 + 72 T^{2} + 1633 T^{4} - 6840 T^{6} - 214704 T^{8} - 12647160 T^{10} + 5582902033 T^{12} + 455138139528 T^{14} + 11688200277601 T^{16} \))(\( ( 1 + 23 T^{4} + 3418801 T^{8} )( 1 + 3191 T^{4} + 3418801 T^{8} ) \))(\( 1 - 72 T^{2} + 1633 T^{4} + 6840 T^{6} - 214704 T^{8} + 12647160 T^{10} + 5582902033 T^{12} - 455138139528 T^{14} + 11688200277601 T^{16} \))(\( 1 + 217 T^{4} - 3371712 T^{8} + 741879817 T^{12} + 11688200277601 T^{16} \))(\( ( 1 - 3214 T^{4} + 3418801 T^{8} )( 1 + 3191 T^{4} + 3418801 T^{8} ) \))(\( 1 - 96 T^{3} + 854 T^{4} - 1872 T^{5} + 4608 T^{6} - 53616 T^{7} + 4490401 T^{8} + 2573760 T^{9} + 2964096 T^{10} - 348774432 T^{11} - 9048958570 T^{12} - 6137398128 T^{13} + 6878498688 T^{14} + 451002697968 T^{15} - 494432039036 T^{16} + 19393116012624 T^{17} + 12718344074112 T^{18} - 487966112962896 T^{19} - 30936588608074570 T^{20} - 51272786206529376 T^{21} + 18737126928088704 T^{22} + 699595868522752320 T^{23} + 52484706214739808001 T^{24} - 26947005481605774288 T^{25} + 99585710499613819392 T^{26} - \)\(17\!\cdots\!04\)\( T^{27} + \)\(34\!\cdots\!54\)\( T^{28} - \)\(16\!\cdots\!28\)\( T^{29} + \)\(13\!\cdots\!01\)\( T^{32} \))(\( ( 1 - 2 T - 63 T^{2} + 38 T^{3} + 2468 T^{4} + 1634 T^{5} - 116487 T^{6} - 159014 T^{7} + 3418801 T^{8} )^{2} \))(\( ( 1 - 10 T + 50 T^{2} - 330 T^{3} + 2078 T^{4} - 14190 T^{5} + 92450 T^{6} - 795070 T^{7} + 3418801 T^{8} )^{4} \))(\( ( 1 - 20 T + 200 T^{2} - 1340 T^{3} + 4516 T^{4} + 580 T^{5} - 17000 T^{6} - 657780 T^{7} + 7777446 T^{8} - 28284540 T^{9} - 31433000 T^{10} + 46114060 T^{11} + 15439305316 T^{12} - 196991313620 T^{13} + 1264272609800 T^{14} - 5436372222140 T^{15} + 11688200277601 T^{16} )^{2} \))(\( ( 1 + 20 T + 200 T^{2} + 1620 T^{3} + 11996 T^{4} + 82100 T^{5} + 555000 T^{6} + 3765140 T^{7} + 25118886 T^{8} + 161901020 T^{9} + 1026195000 T^{10} + 6527524700 T^{11} + 41011936796 T^{12} + 238153677660 T^{13} + 1264272609800 T^{14} + 5436372222140 T^{15} + 11688200277601 T^{16} )^{2} \))
$47$ (\( 1 + 47 T^{2} \))(\( 1 + 8 T + 47 T^{2} \))(\( 1 - 12 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 - 8 T + 47 T^{2} \))(\( 1 + 12 T + 47 T^{2} \))(\( ( 1 - 47 T^{2} )^{2} \))(\( ( 1 - 47 T^{2} )^{2} \))(\( 1 + 50 T^{2} + 2209 T^{4} \))(\( ( 1 - 47 T^{2} )^{2} \))(\( 1 - 12 T + 97 T^{2} - 564 T^{3} + 2209 T^{4} \))(\( 1 - 7 T + 2 T^{2} - 329 T^{3} + 2209 T^{4} \))(\( 1 + 6 T - 11 T^{2} + 282 T^{3} + 2209 T^{4} \))(\( 1 - 47 T^{2} + 2209 T^{4} \))(\( 1 + 3 T - 38 T^{2} + 141 T^{3} + 2209 T^{4} \))(\( 1 - 6 T - 11 T^{2} - 282 T^{3} + 2209 T^{4} \))(\( 1 + 7 T + 2 T^{2} + 329 T^{3} + 2209 T^{4} \))(\( 1 + 12 T + 97 T^{2} + 564 T^{3} + 2209 T^{4} \))(\( 1 + 6 T - 11 T^{2} + 282 T^{3} + 2209 T^{4} \))(\( 1 + 9 T - 25 T^{2} + 108 T^{3} + 5220 T^{4} + 5076 T^{5} - 55225 T^{6} + 934407 T^{7} + 4879681 T^{8} \))(\( 1 + 4 T - 76 T^{2} - 8 T^{3} + 5503 T^{4} - 376 T^{5} - 167884 T^{6} + 415292 T^{7} + 4879681 T^{8} \))(\( 1 + 12 T + 38 T^{2} + 144 T^{3} + 2259 T^{4} + 6768 T^{5} + 83942 T^{6} + 1245876 T^{7} + 4879681 T^{8} \))(\( 1 - 12 T + 38 T^{2} - 144 T^{3} + 2259 T^{4} - 6768 T^{5} + 83942 T^{6} - 1245876 T^{7} + 4879681 T^{8} \))(\( 1 - 4 T - 76 T^{2} + 8 T^{3} + 5503 T^{4} + 376 T^{5} - 167884 T^{6} - 415292 T^{7} + 4879681 T^{8} \))(\( ( 1 + 2209 T^{4} )^{2} \))(\( ( 1 + 2209 T^{4} )^{2} \))(\( ( 1 + 2209 T^{4} )^{2} \))(\( 1 + 23 T + 202 T^{2} + 925 T^{3} + 4101 T^{4} + 43475 T^{5} + 446218 T^{6} + 2387929 T^{7} + 4879681 T^{8} \))(\( 1 - 2 T + 17 T^{2} + 130 T^{3} + 761 T^{4} + 6110 T^{5} + 37553 T^{6} - 207646 T^{7} + 4879681 T^{8} \))(\( 1 + 20 T + 113 T^{2} - 270 T^{3} - 5851 T^{4} - 12690 T^{5} + 249617 T^{6} + 2076460 T^{7} + 4879681 T^{8} \))(\( 1 - 10 T + 66 T^{2} - 210 T^{3} + 1787 T^{4} + 6510 T^{5} - 94072 T^{6} + 974600 T^{7} - 2764935 T^{8} + 45806200 T^{9} - 207805048 T^{10} + 675887730 T^{11} + 8719989947 T^{12} - 48162451470 T^{13} + 711428211714 T^{14} - 5066231204630 T^{15} + 23811286661761 T^{16} \))(\( 1 - T - 77 T^{2} + 108 T^{3} + 5436 T^{4} - 2341 T^{5} - 357450 T^{6} + 29584 T^{7} + 16743019 T^{8} + 1390448 T^{9} - 789607050 T^{10} - 243049643 T^{11} + 26525945916 T^{12} + 24769260756 T^{13} - 829999580333 T^{14} - 506623120463 T^{15} + 23811286661761 T^{16} \))(\( 1 - 11 T^{2} - 140 T^{3} + 404 T^{4} + 37780 T^{5} - 40930 T^{6} + 148540 T^{7} - 4073685 T^{8} + 35390020 T^{9} + 536648324 T^{10} - 1335868840 T^{11} + 9098825071 T^{12} - 62785835480 T^{13} + 1185456147716 T^{14} + 3674298046460 T^{15} - 19878283294485 T^{16} + 34066907339780 T^{17} - 441193283415970 T^{18} + 19140221491092140 T^{19} + 9619759811351444 T^{20} - 156678266234387380 T^{21} - 578590454594130539 T^{22} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 - 11 T^{2} + 140 T^{3} + 404 T^{4} - 37780 T^{5} - 40930 T^{6} - 148540 T^{7} - 4073685 T^{8} - 35390020 T^{9} + 536648324 T^{10} + 1335868840 T^{11} + 9098825071 T^{12} + 62785835480 T^{13} + 1185456147716 T^{14} - 3674298046460 T^{15} - 19878283294485 T^{16} - 34066907339780 T^{17} - 441193283415970 T^{18} - 19140221491092140 T^{19} + 9619759811351444 T^{20} + 156678266234387380 T^{21} - 578590454594130539 T^{22} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( ( 1 + 47 T^{2} + 2209 T^{4} )^{2} \))(\( 1 + 58 T^{2} + 1155 T^{4} + 128122 T^{6} + 4879681 T^{8} \))(\( 1 + 85 T^{2} + 5016 T^{4} + 187765 T^{6} + 4879681 T^{8} \))(\( 1 - 50 T^{2} + 291 T^{4} - 110450 T^{6} + 4879681 T^{8} \))(\( 1 + 58 T^{2} + 1155 T^{4} + 128122 T^{6} + 4879681 T^{8} \))(\( 1 + 68 T^{2} + 2506 T^{4} - 156400 T^{6} - 10608173 T^{8} - 345487600 T^{10} + 12228480586 T^{12} + 732986642372 T^{14} + 23811286661761 T^{16} \))(\( 1 + 131 T^{2} + 9121 T^{4} + 474482 T^{6} + 21853270 T^{8} + 1048130738 T^{10} + 44507570401 T^{12} + 1412077208099 T^{14} + 23811286661761 T^{16} \))(\( 1 + 10 T + 164 T^{2} + 1060 T^{3} + 6767 T^{4} + 10550 T^{5} - 301398 T^{6} - 3376520 T^{7} - 34256075 T^{8} - 158696440 T^{9} - 665788182 T^{10} + 1095332650 T^{11} + 33020801327 T^{12} + 243105707420 T^{13} + 1767791313956 T^{14} + 5066231204630 T^{15} + 23811286661761 T^{16} \))(\( 1 - 30 T + 425 T^{2} - 3450 T^{3} + 13416 T^{4} + 40020 T^{5} - 992525 T^{6} + 8396100 T^{7} - 57415609 T^{8} + 394616700 T^{9} - 2192487725 T^{10} + 4154996460 T^{11} + 65465800296 T^{12} - 791240274150 T^{13} + 4581166514825 T^{14} - 15198693613890 T^{15} + 23811286661761 T^{16} \))(\( 1 - 50 T + 1290 T^{2} - 23780 T^{3} + 355482 T^{4} - 4545300 T^{5} + 51239280 T^{6} - 520209820 T^{7} + 4818856003 T^{8} - 41087515780 T^{9} + 324882626890 T^{10} - 2399419588970 T^{11} + 16710816340744 T^{12} - 111327617454640 T^{13} + 724257830956800 T^{14} - 4728319081214120 T^{15} + 31780196573425365 T^{16} - 222230996817063640 T^{17} + 1599885548583571200 T^{18} - 11558367226993088720 T^{19} + 81543452992418022664 T^{20} - \)\(55\!\cdots\!90\)\( T^{21} + \)\(35\!\cdots\!10\)\( T^{22} - \)\(20\!\cdots\!40\)\( T^{23} + \)\(11\!\cdots\!83\)\( T^{24} - \)\(58\!\cdots\!40\)\( T^{25} + \)\(26\!\cdots\!20\)\( T^{26} - \)\(11\!\cdots\!00\)\( T^{27} + \)\(41\!\cdots\!62\)\( T^{28} - \)\(12\!\cdots\!60\)\( T^{29} + \)\(33\!\cdots\!10\)\( T^{30} - \)\(60\!\cdots\!50\)\( T^{31} + \)\(56\!\cdots\!21\)\( T^{32} \))(\( ( 1 + 14 T^{2} + 3387 T^{4} + 127192 T^{6} + 5908805 T^{8} + 280967128 T^{10} + 16527479547 T^{12} + 150909014606 T^{14} + 23811286661761 T^{16} )^{2} \))(\( 1 + 4249 T^{4} + 13174320 T^{8} + 20733764569 T^{12} + 23811286661761 T^{16} \))(\( 1 + 1918 T^{4} - 1200957 T^{8} + 9359228158 T^{12} + 23811286661761 T^{16} \))(\( 1 + 1054 T^{4} - 3768765 T^{8} + 5143183774 T^{12} + 23811286661761 T^{16} \))(\( 1 - 2807 T^{4} + 2999568 T^{8} - 13697264567 T^{12} + 23811286661761 T^{16} \))(\( 1 + 1054 T^{4} - 3768765 T^{8} + 5143183774 T^{12} + 23811286661761 T^{16} \))(\( 1 + 1054 T^{4} - 3768765 T^{8} + 5143183774 T^{12} + 23811286661761 T^{16} \))(\( 1 + 1054 T^{4} - 3768765 T^{8} + 5143183774 T^{12} + 23811286661761 T^{16} \))(\( 1 + 48 T + 1152 T^{2} + 18432 T^{3} + 221336 T^{4} + 2122632 T^{5} + 16776576 T^{6} + 110138352 T^{7} + 584847502 T^{8} + 2167705440 T^{9} - 101278944 T^{10} - 103905054792 T^{11} - 1313297330560 T^{12} - 11748806482152 T^{13} - 89054821472256 T^{14} - 622050377830560 T^{15} - 4255385068735805 T^{16} - 29236367758036320 T^{17} - 196722100632213504 T^{18} - 1219796335396467096 T^{19} - 6408472031284351360 T^{20} - 23830105518606623544 T^{21} - 1091707545669732576 T^{22} + \)\(10\!\cdots\!20\)\( T^{23} + \)\(13\!\cdots\!22\)\( T^{24} + \)\(12\!\cdots\!84\)\( T^{25} + \)\(88\!\cdots\!24\)\( T^{26} + \)\(52\!\cdots\!96\)\( T^{27} + \)\(25\!\cdots\!76\)\( T^{28} + \)\(10\!\cdots\!64\)\( T^{29} + \)\(29\!\cdots\!88\)\( T^{30} + \)\(57\!\cdots\!64\)\( T^{31} + \)\(56\!\cdots\!21\)\( T^{32} \))(\( 1 + 14 T + 147 T^{2} + 330 T^{3} - 2530 T^{4} - 51204 T^{5} + 11531 T^{6} + 2583170 T^{7} + 34974699 T^{8} + 121408990 T^{9} + 25471979 T^{10} - 5316152892 T^{11} - 12345592930 T^{12} + 75683852310 T^{13} + 1584544653363 T^{14} + 7092723686482 T^{15} + 23811286661761 T^{16} \))(\( 1 - 2418 T^{4} + 10664643 T^{8} - 18983595716 T^{12} + 70311124062405 T^{16} - 92633891327046596 T^{20} + \)\(25\!\cdots\!23\)\( T^{24} - \)\(28\!\cdots\!38\)\( T^{28} + \)\(56\!\cdots\!21\)\( T^{32} \))(\( 1 - 80 T^{2} - 898 T^{4} + 279920 T^{6} - 6280317 T^{8} - 360782480 T^{10} + 25011505244 T^{12} + 1426394400 T^{14} - 41525313744635 T^{16} + 3150905229600 T^{18} + 122048166920547164 T^{20} - 3888952038850635920 T^{22} - \)\(14\!\cdots\!37\)\( T^{24} + \)\(14\!\cdots\!80\)\( T^{26} - \)\(10\!\cdots\!18\)\( T^{28} - \)\(20\!\cdots\!20\)\( T^{30} + \)\(56\!\cdots\!21\)\( T^{32} \))(\( 1 + 222 T^{4} + 113100 T^{6} - 5672277 T^{8} + 25108200 T^{10} + 782541304 T^{12} - 619100250600 T^{14} + 9233449631925 T^{16} - 1367592453575400 T^{18} + 3818551932844024 T^{20} + 270646694323597800 T^{22} - \)\(13\!\cdots\!97\)\( T^{24} + \)\(59\!\cdots\!00\)\( T^{26} + \)\(25\!\cdots\!02\)\( T^{28} + \)\(56\!\cdots\!21\)\( T^{32} \))
$53$ (\( 1 + 6 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - 70 T^{2} + 2809 T^{4} \))(\( 1 - 70 T^{2} + 2809 T^{4} \))(\( 1 - 70 T^{2} + 2809 T^{4} \))(\( 1 - 70 T^{2} + 2809 T^{4} \))(\( ( 1 + 53 T^{2} )^{2} \))(\( ( 1 + 53 T^{2} )^{2} \))(\( ( 1 + 12 T + 53 T^{2} )^{2} \))(\( ( 1 + 6 T + 53 T^{2} )^{2} \))(\( ( 1 + 6 T + 53 T^{2} )^{2} \))(\( ( 1 - 12 T + 53 T^{2} )^{2} \))(\( ( 1 + 53 T^{2} )^{2} \))(\( ( 1 + 53 T^{2} )^{2} \))(\( ( 1 + 12 T + 53 T^{2} )^{2} \))(\( ( 1 - 26 T^{2} + 2809 T^{4} )^{2} \))(\( ( 1 + 12 T + 136 T^{2} + 636 T^{3} + 2809 T^{4} )^{2} \))(\( ( 1 - 12 T + 136 T^{2} - 636 T^{3} + 2809 T^{4} )^{2} \))(\( ( 1 + 12 T + 136 T^{2} + 636 T^{3} + 2809 T^{4} )^{2} \))(\( ( 1 - 12 T + 136 T^{2} - 636 T^{3} + 2809 T^{4} )^{2} \))(\( 1 - 718 T^{4} + 7890481 T^{8} \))(\( ( 1 - 56 T^{2} + 2809 T^{4} )( 1 + 56 T^{2} + 2809 T^{4} ) \))(\( 1 - 718 T^{4} + 7890481 T^{8} \))(\( 1 - 16 T + 43 T^{2} + 700 T^{3} - 7959 T^{4} + 37100 T^{5} + 120787 T^{6} - 2382032 T^{7} + 7890481 T^{8} \))(\( 1 - 21 T + 253 T^{2} - 2535 T^{3} + 21196 T^{4} - 134355 T^{5} + 710677 T^{6} - 3126417 T^{7} + 7890481 T^{8} \))(\( 1 - 16 T + 53 T^{2} + 200 T^{3} - 1759 T^{4} + 10600 T^{5} + 148877 T^{6} - 2382032 T^{7} + 7890481 T^{8} \))(\( 1 + 7 T + 62 T^{2} + 816 T^{3} + 3586 T^{4} - 23943 T^{5} - 77365 T^{6} - 2388872 T^{7} - 30975296 T^{8} - 126610216 T^{9} - 217318285 T^{10} - 3564562011 T^{11} + 28295264866 T^{12} + 341247522288 T^{13} + 1374190389998 T^{14} + 8222977978859 T^{15} + 62259690411361 T^{16} \))(\( 1 + 7 T + 2 T^{2} + 6 T^{3} - 794 T^{4} - 27393 T^{5} + 64385 T^{6} + 1339888 T^{7} + 6789964 T^{8} + 71014064 T^{9} + 180857465 T^{10} - 4078187661 T^{11} - 6265041914 T^{12} + 2509172958 T^{13} + 44328722258 T^{14} + 8222977978859 T^{15} + 62259690411361 T^{16} \))(\( 1 - 2 T - 218 T^{2} + 154 T^{3} + 20819 T^{4} - 14082 T^{5} - 945826 T^{6} + 2993876 T^{7} + 12643662 T^{8} - 300705398 T^{9} + 702917212 T^{10} + 8975478116 T^{11} - 50340536356 T^{12} + 475700340148 T^{13} + 1974494448508 T^{14} - 44768117538046 T^{15} + 99764574781422 T^{16} + 1252025449800868 T^{17} - 20963629029197554 T^{18} - 16542282271184634 T^{19} + 1296184494674124659 T^{20} + 508163593137528482 T^{21} - 38125468539681844682 T^{22} - 18538071858744383194 T^{23} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 + 2 T - 218 T^{2} - 154 T^{3} + 20819 T^{4} + 14082 T^{5} - 945826 T^{6} - 2993876 T^{7} + 12643662 T^{8} + 300705398 T^{9} + 702917212 T^{10} - 8975478116 T^{11} - 50340536356 T^{12} - 475700340148 T^{13} + 1974494448508 T^{14} + 44768117538046 T^{15} + 99764574781422 T^{16} - 1252025449800868 T^{17} - 20963629029197554 T^{18} + 16542282271184634 T^{19} + 1296184494674124659 T^{20} - 508163593137528482 T^{21} - 38125468539681844682 T^{22} + 18538071858744383194 T^{23} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( ( 1 - 70 T^{2} + 2809 T^{4} )^{2} \))(\( ( 1 + 38 T^{2} + 2809 T^{4} )^{2} \))(\( ( 1 - 70 T^{2} + 2809 T^{4} )^{2} \))(\( ( 1 - 53 T^{2} )^{4} \))(\( ( 1 + 38 T^{2} + 2809 T^{4} )^{2} \))(\( ( 1 - 128 T^{2} + 8850 T^{4} - 359552 T^{6} + 7890481 T^{8} )^{2} \))(\( ( 1 + 26 T^{2} + 2809 T^{4} )^{4} \))(\( 1 - 30 T + 425 T^{2} - 3090 T^{3} + 5031 T^{4} + 120570 T^{5} - 1120625 T^{6} + 3254310 T^{7} + 1334576 T^{8} + 172478430 T^{9} - 3147835625 T^{10} + 17950099890 T^{11} + 39697009911 T^{12} - 1292224073370 T^{13} + 9419853479825 T^{14} - 35241334195110 T^{15} + 62259690411361 T^{16} \))(\( 1 + 90 T^{2} - 900 T^{3} + 5291 T^{4} - 81000 T^{5} + 628380 T^{6} - 3853800 T^{7} + 44701381 T^{8} - 204251400 T^{9} + 1765119420 T^{10} - 12059037000 T^{11} + 41748534971 T^{12} - 376375943700 T^{13} + 1994792501610 T^{14} + 62259690411361 T^{16} \))(\( 1 + 30 T + 655 T^{2} + 10630 T^{3} + 152332 T^{4} + 1919860 T^{5} + 22723040 T^{6} + 248684220 T^{7} + 2591225028 T^{8} + 25379094630 T^{9} + 238630725505 T^{10} + 2134501287330 T^{11} + 18442776242119 T^{12} + 152410720886420 T^{13} + 1218238235823200 T^{14} + 9336287074370240 T^{15} + 69349166231444240 T^{16} + 494823214941622720 T^{17} + 3422031204427368800 T^{18} + 22690450893407550340 T^{19} + \)\(14\!\cdots\!39\)\( T^{20} + \)\(89\!\cdots\!90\)\( T^{21} + \)\(52\!\cdots\!45\)\( T^{22} + \)\(29\!\cdots\!10\)\( T^{23} + \)\(16\!\cdots\!08\)\( T^{24} + \)\(82\!\cdots\!60\)\( T^{25} + \)\(39\!\cdots\!60\)\( T^{26} + \)\(17\!\cdots\!20\)\( T^{27} + \)\(74\!\cdots\!12\)\( T^{28} + \)\(27\!\cdots\!90\)\( T^{29} + \)\(90\!\cdots\!95\)\( T^{30} + \)\(21\!\cdots\!10\)\( T^{31} + \)\(38\!\cdots\!21\)\( T^{32} \))(\( 1 + 225 T^{2} + 23512 T^{4} + 1434600 T^{6} + 47561688 T^{8} - 356685525 T^{10} - 175945692541 T^{12} - 15108285618000 T^{14} - 907892015735920 T^{16} - 42439174300962000 T^{18} - 1388296144026602221 T^{20} - 7905706785586957725 T^{22} + \)\(29\!\cdots\!68\)\( T^{24} + \)\(25\!\cdots\!00\)\( T^{26} + \)\(11\!\cdots\!92\)\( T^{28} + \)\(31\!\cdots\!25\)\( T^{30} + \)\(38\!\cdots\!21\)\( T^{32} \))(\( 1 - 4900 T^{4} + 13820838 T^{8} - 38663356900 T^{12} + 62259690411361 T^{16} \))(\( ( 1 - 4174 T^{4} + 7890481 T^{8} )^{2} \))(\( 1 + 508 T^{4} - 3205722 T^{8} + 4008364348 T^{12} + 62259690411361 T^{16} \))(\( ( 1 + 2809 T^{4} )^{4} \))(\( 1 + 508 T^{4} - 3205722 T^{8} + 4008364348 T^{12} + 62259690411361 T^{16} \))(\( ( 1 + 2809 T^{4} )^{4} \))(\( ( 1 - 718 T^{4} + 7890481 T^{8} )^{2} \))(\( 1 + 4192 T^{4} + 3754180 T^{8} - 35115635936 T^{12} - 139198621476794 T^{16} - 277079258155925216 T^{20} + \)\(23\!\cdots\!80\)\( T^{24} + \)\(20\!\cdots\!72\)\( T^{28} + \)\(38\!\cdots\!21\)\( T^{32} \))(\( ( 1 - 7 T + 71 T^{2} - 601 T^{3} + 6944 T^{4} - 31853 T^{5} + 199439 T^{6} - 1042139 T^{7} + 7890481 T^{8} )^{2} \))(\( 1 + 160 T^{2} + 15958 T^{4} + 1479200 T^{6} + 120952283 T^{8} + 8737124640 T^{10} + 582380844716 T^{12} + 34774340762400 T^{14} + 1896903908812405 T^{16} + 97681123201581600 T^{18} + 4595264989995548396 T^{20} + \)\(19\!\cdots\!60\)\( T^{22} + \)\(75\!\cdots\!63\)\( T^{24} + \)\(25\!\cdots\!00\)\( T^{26} + \)\(78\!\cdots\!78\)\( T^{28} + \)\(22\!\cdots\!40\)\( T^{30} + \)\(38\!\cdots\!21\)\( T^{32} \))(\( 1 - 240 T^{2} + 33963 T^{4} - 3098800 T^{6} + 190267763 T^{8} - 5833470960 T^{10} - 191429745559 T^{12} + 39064778448400 T^{14} - 2711479735984320 T^{16} + 109732962661555600 T^{18} - 1510472770168123879 T^{20} - \)\(12\!\cdots\!40\)\( T^{22} + \)\(11\!\cdots\!43\)\( T^{24} - \)\(54\!\cdots\!00\)\( T^{26} + \)\(16\!\cdots\!83\)\( T^{28} - \)\(33\!\cdots\!60\)\( T^{30} + \)\(38\!\cdots\!21\)\( T^{32} \))(\( 1 + 80 T^{2} + 9083 T^{4} + 237520 T^{6} + 13372803 T^{8} - 897844720 T^{10} - 19475533479 T^{12} - 4451159434160 T^{14} - 59910604162400 T^{16} - 12503306850555440 T^{18} - 153671326880913399 T^{20} - 19900154611845888880 T^{22} + \)\(83\!\cdots\!83\)\( T^{24} + \)\(41\!\cdots\!80\)\( T^{26} + \)\(44\!\cdots\!03\)\( T^{28} + \)\(11\!\cdots\!20\)\( T^{30} + \)\(38\!\cdots\!21\)\( T^{32} \))
$59$ (\( 1 + 6 T + 59 T^{2} \))(\( 1 + 10 T + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 - 6 T + 59 T^{2} \))(\( 1 + 10 T + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( ( 1 - 6 T + 59 T^{2} )^{2} \))(\( ( 1 + 59 T^{2} )^{2} \))(\( ( 1 + 59 T^{2} )^{2} \))(\( ( 1 + 6 T + 59 T^{2} )^{2} \))(\( 1 - 9 T + 22 T^{2} - 531 T^{3} + 3481 T^{4} \))(\( 1 - 4 T - 43 T^{2} - 236 T^{3} + 3481 T^{4} \))(\( 1 - 9 T + 22 T^{2} - 531 T^{3} + 3481 T^{4} \))(\( 1 - 3 T - 50 T^{2} - 177 T^{3} + 3481 T^{4} \))(\( 1 + 6 T - 23 T^{2} + 354 T^{3} + 3481 T^{4} \))(\( 1 - 9 T + 22 T^{2} - 531 T^{3} + 3481 T^{4} \))(\( 1 - 4 T - 43 T^{2} - 236 T^{3} + 3481 T^{4} \))(\( 1 - 9 T + 22 T^{2} - 531 T^{3} + 3481 T^{4} \))(\( 1 + 3 T - 50 T^{2} + 177 T^{3} + 3481 T^{4} \))(\( 1 + 3 T - 103 T^{2} - 18 T^{3} + 8532 T^{4} - 1062 T^{5} - 358543 T^{6} + 616137 T^{7} + 12117361 T^{8} \))(\( 1 + 2 T + 35 T^{2} - 298 T^{3} - 2756 T^{4} - 17582 T^{5} + 121835 T^{6} + 410758 T^{7} + 12117361 T^{8} \))(\( 1 - 6 T - 85 T^{2} - 18 T^{3} + 9036 T^{4} - 1062 T^{5} - 295885 T^{6} - 1232274 T^{7} + 12117361 T^{8} \))(\( 1 - 6 T - 85 T^{2} - 18 T^{3} + 9036 T^{4} - 1062 T^{5} - 295885 T^{6} - 1232274 T^{7} + 12117361 T^{8} \))(\( 1 + 2 T + 35 T^{2} - 298 T^{3} - 2756 T^{4} - 17582 T^{5} + 121835 T^{6} + 410758 T^{7} + 12117361 T^{8} \))(\( ( 1 + 100 T^{2} + 3481 T^{4} )^{2} \))(\( ( 1 + 110 T^{2} + 3481 T^{4} )^{2} \))(\( ( 1 + 100 T^{2} + 3481 T^{4} )^{2} \))(\( 1 - 10 T + T^{2} - 200 T^{3} + 5061 T^{4} - 11800 T^{5} + 3481 T^{6} - 2053790 T^{7} + 12117361 T^{8} \))(\( 1 + 20 T + 181 T^{2} + 1600 T^{3} + 14601 T^{4} + 94400 T^{5} + 630061 T^{6} + 4107580 T^{7} + 12117361 T^{8} \))(\( 1 + 5 T - 49 T^{2} - 295 T^{3} + 1736 T^{4} - 17405 T^{5} - 170569 T^{6} + 1026895 T^{7} + 12117361 T^{8} \))(\( 1 - 25 T + 212 T^{2} - 150 T^{3} - 12692 T^{4} + 128475 T^{5} - 252121 T^{6} - 7858000 T^{7} + 98067400 T^{8} - 463622000 T^{9} - 877633201 T^{10} + 26386067025 T^{11} - 153793545812 T^{12} - 107238644850 T^{13} + 8942273131892 T^{14} - 62216287120475 T^{15} + 146830437604321 T^{16} \))(\( 1 + 10 T + 142 T^{2} + 730 T^{3} + 11283 T^{4} + 22410 T^{5} + 330384 T^{6} - 1700800 T^{7} + 16244505 T^{8} - 100347200 T^{9} + 1150066704 T^{10} + 4602543390 T^{11} + 136720184163 T^{12} + 521894738270 T^{13} + 5989635777022 T^{14} + 24886514848190 T^{15} + 146830437604321 T^{16} \))(\( 1 + 19 T + 75 T^{2} - 1271 T^{3} - 15671 T^{4} - 73204 T^{5} - 120356 T^{6} + 4773540 T^{7} + 97305244 T^{8} + 638482244 T^{9} - 599172130 T^{10} - 34389514670 T^{11} - 299642137310 T^{12} - 2028981365530 T^{13} - 2085718184530 T^{14} + 131130844790476 T^{15} + 1179082768741084 T^{16} + 3412719738248460 T^{17} - 5076680306896196 T^{18} - 182179243294690076 T^{19} - 2300979787697314391 T^{20} - 11010667685510427469 T^{21} + 38333756497548105075 T^{22} + \)\(57\!\cdots\!21\)\( T^{23} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 - 19 T + 75 T^{2} + 1271 T^{3} - 15671 T^{4} + 73204 T^{5} - 120356 T^{6} - 4773540 T^{7} + 97305244 T^{8} - 638482244 T^{9} - 599172130 T^{10} + 34389514670 T^{11} - 299642137310 T^{12} + 2028981365530 T^{13} - 2085718184530 T^{14} - 131130844790476 T^{15} + 1179082768741084 T^{16} - 3412719738248460 T^{17} - 5076680306896196 T^{18} + 182179243294690076 T^{19} - 2300979787697314391 T^{20} + 11010667685510427469 T^{21} + 38333756497548105075 T^{22} - \)\(57\!\cdots\!21\)\( T^{23} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( ( 1 + 3 T - 50 T^{2} + 177 T^{3} + 3481 T^{4} )^{2} \))(\( ( 1 + 9 T + 22 T^{2} + 531 T^{3} + 3481 T^{4} )^{2} \))(\( ( 1 - 6 T - 23 T^{2} - 354 T^{3} + 3481 T^{4} )^{2} \))(\( ( 1 + 9 T + 22 T^{2} + 531 T^{3} + 3481 T^{4} )^{2} \))(\( ( 1 - 3 T - 50 T^{2} - 177 T^{3} + 3481 T^{4} )^{2} \))(\( ( 1 + 6 T - 85 T^{2} + 18 T^{3} + 9036 T^{4} + 1062 T^{5} - 295885 T^{6} + 1232274 T^{7} + 12117361 T^{8} )^{2} \))(\( ( 1 - 3 T - 103 T^{2} + 18 T^{3} + 8532 T^{4} + 1062 T^{5} - 358543 T^{6} - 616137 T^{7} + 12117361 T^{8} )^{2} \))(\( 1 - 20 T + 242 T^{2} - 2760 T^{3} + 31483 T^{4} - 335220 T^{5} + 3074684 T^{6} - 25371200 T^{7} + 201486805 T^{8} - 1496900800 T^{9} + 10702975004 T^{10} - 68847148380 T^{11} + 381490876363 T^{12} - 1973191065240 T^{13} + 10207689141122 T^{14} - 49773029696380 T^{15} + 146830437604321 T^{16} \))(\( 1 - 118 T^{2} + 3563 T^{4} + 324004 T^{6} - 38801675 T^{8} + 1127857924 T^{10} + 43174157243 T^{12} - 4977302969638 T^{14} + 146830437604321 T^{16} \))(\( 1 + 20 T - 111 T^{2} - 3640 T^{3} + 11660 T^{4} + 317820 T^{5} - 1817980 T^{6} - 11679820 T^{7} + 217773860 T^{8} - 627241760 T^{9} - 13630850673 T^{10} + 133224376740 T^{11} + 186113511463 T^{12} - 9371240514920 T^{13} + 48131664631280 T^{14} + 252534601553160 T^{15} - 4526062111550040 T^{16} + 14899541491636440 T^{17} + 167546324581485680 T^{18} - 1924656005713754680 T^{19} + 2255204605374809143 T^{20} + 95245344150556405260 T^{21} - \)\(57\!\cdots\!93\)\( T^{22} - \)\(15\!\cdots\!40\)\( T^{23} + \)\(31\!\cdots\!60\)\( T^{24} - \)\(10\!\cdots\!80\)\( T^{25} - \)\(92\!\cdots\!80\)\( T^{26} + \)\(95\!\cdots\!80\)\( T^{27} + \)\(20\!\cdots\!60\)\( T^{28} - \)\(38\!\cdots\!60\)\( T^{29} - \)\(68\!\cdots\!71\)\( T^{30} + \)\(73\!\cdots\!80\)\( T^{31} + \)\(21\!\cdots\!41\)\( T^{32} \))(\( 1 - 239 T^{2} + 20720 T^{4} - 262340 T^{6} - 99474320 T^{8} + 8721612103 T^{10} - 165516489857 T^{12} - 25053022225200 T^{14} + 2461592465750520 T^{16} - 87209570365921200 T^{18} - 2005623059050107377 T^{20} + \)\(36\!\cdots\!23\)\( T^{22} - \)\(14\!\cdots\!20\)\( T^{24} - \)\(13\!\cdots\!40\)\( T^{26} + \)\(36\!\cdots\!20\)\( T^{28} - \)\(14\!\cdots\!79\)\( T^{30} + \)\(21\!\cdots\!41\)\( T^{32} \))(\( 1 - 16 T^{2} - 5906 T^{4} + 12800 T^{6} + 24961747 T^{8} + 44556800 T^{10} - 71565134066 T^{12} - 674888538256 T^{14} + 146830437604321 T^{16} \))(\( ( 1 - 43 T^{2} - 1632 T^{4} - 149683 T^{6} + 12117361 T^{8} )^{2} \))(\( ( 1 + 18 T + 137 T^{2} + 1242 T^{3} + 12372 T^{4} + 73278 T^{5} + 476897 T^{6} + 3696822 T^{7} + 12117361 T^{8} )^{2} \))(\( ( 1 - 70 T^{2} + 1419 T^{4} - 243670 T^{6} + 12117361 T^{8} )^{2} \))(\( ( 1 - 18 T + 137 T^{2} - 1242 T^{3} + 12372 T^{4} - 73278 T^{5} + 476897 T^{6} - 3696822 T^{7} + 12117361 T^{8} )^{2} \))(\( ( 1 + 29 T^{2} - 2640 T^{4} + 100949 T^{6} + 12117361 T^{8} )^{2} \))(\( ( 1 - 115 T^{2} + 9744 T^{4} - 400315 T^{6} + 12117361 T^{8} )^{2} \))(\( 1 - 428 T^{2} + 100818 T^{4} - 16624408 T^{6} + 2120510801 T^{8} - 219902811120 T^{10} + 19093571371522 T^{12} - 1411764424766636 T^{14} + 89719050225623076 T^{16} - 4914351962612659916 T^{18} + \)\(23\!\cdots\!42\)\( T^{20} - \)\(92\!\cdots\!20\)\( T^{22} + \)\(31\!\cdots\!21\)\( T^{24} - \)\(84\!\cdots\!08\)\( T^{26} + \)\(17\!\cdots\!58\)\( T^{28} - \)\(26\!\cdots\!08\)\( T^{30} + \)\(21\!\cdots\!41\)\( T^{32} \))(\( 1 + 14 T + 179 T^{2} + 1134 T^{3} + 9436 T^{4} + 46452 T^{5} + 737981 T^{6} + 5890472 T^{7} + 63809287 T^{8} + 347537848 T^{9} + 2568911861 T^{10} + 9540265308 T^{11} + 114339418396 T^{12} + 810724155066 T^{13} + 7550315521739 T^{14} + 34841120787466 T^{15} + 146830437604321 T^{16} \))(\( 1 - 260 T^{2} + 30683 T^{4} - 2245240 T^{6} + 115059923 T^{8} - 2957973360 T^{10} - 201554837159 T^{12} + 33046870553100 T^{14} - 2446822440910400 T^{16} + 115036156395341100 T^{18} - 2442312723151817399 T^{20} - \)\(12\!\cdots\!60\)\( T^{22} + \)\(16\!\cdots\!83\)\( T^{24} - \)\(11\!\cdots\!40\)\( T^{26} + \)\(54\!\cdots\!23\)\( T^{28} - \)\(16\!\cdots\!60\)\( T^{30} + \)\(21\!\cdots\!41\)\( T^{32} \))(\( 1 + 20 T^{2} + 6778 T^{4} + 167940 T^{6} + 29483123 T^{8} - 85841980 T^{10} + 104726571236 T^{12} - 1425328591600 T^{14} + 303412597742005 T^{16} - 4961568827359600 T^{18} + 1269009669958828196 T^{20} - 3620860525200049180 T^{22} + \)\(43\!\cdots\!83\)\( T^{24} + \)\(85\!\cdots\!40\)\( T^{26} + \)\(12\!\cdots\!18\)\( T^{28} + \)\(12\!\cdots\!20\)\( T^{30} + \)\(21\!\cdots\!41\)\( T^{32} \))(\( 1 - 60 T^{2} + 698 T^{4} + 166340 T^{6} - 5597837 T^{8} + 630362740 T^{10} - 10656119484 T^{12} - 5386959600 T^{14} + 114009289145525 T^{16} - 18752006367600 T^{18} - 129124046646761724 T^{20} + 26589036760602936340 T^{22} - \)\(82\!\cdots\!77\)\( T^{24} + \)\(85\!\cdots\!40\)\( T^{26} + \)\(12\!\cdots\!38\)\( T^{28} - \)\(37\!\cdots\!60\)\( T^{30} + \)\(21\!\cdots\!41\)\( T^{32} \))
$61$ (\( 1 - 2 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( ( 1 - 2 T + 61 T^{2} )^{2} \))(\( ( 1 + 10 T + 61 T^{2} )^{2} \))(\( ( 1 - 2 T + 61 T^{2} )^{2} \))(\( ( 1 - 2 T + 61 T^{2} )^{2} \))(\( 1 + 8 T + 3 T^{2} + 488 T^{3} + 3721 T^{4} \))(\( 1 - 7 T - 12 T^{2} - 427 T^{3} + 3721 T^{4} \))(\( 1 - 4 T - 45 T^{2} - 244 T^{3} + 3721 T^{4} \))(\( 1 - 10 T + 39 T^{2} - 610 T^{3} + 3721 T^{4} \))(\( ( 1 - 14 T + 61 T^{2} )( 1 + T + 61 T^{2} ) \))(\( 1 - 4 T - 45 T^{2} - 244 T^{3} + 3721 T^{4} \))(\( 1 - 7 T - 12 T^{2} - 427 T^{3} + 3721 T^{4} \))(\( 1 + 8 T + 3 T^{2} + 488 T^{3} + 3721 T^{4} \))(\( 1 + 8 T + 3 T^{2} + 488 T^{3} + 3721 T^{4} \))(\( 1 + T - 47 T^{2} - 74 T^{3} - 1478 T^{4} - 4514 T^{5} - 174887 T^{6} + 226981 T^{7} + 13845841 T^{8} \))(\( 1 + 4 T - 104 T^{2} - 8 T^{3} + 9703 T^{4} - 488 T^{5} - 386984 T^{6} + 907924 T^{7} + 13845841 T^{8} \))(\( ( 1 + 8 T + 3 T^{2} + 488 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 + 8 T + 3 T^{2} + 488 T^{3} + 3721 T^{4} )^{2} \))(\( 1 + 4 T - 104 T^{2} - 8 T^{3} + 9703 T^{4} - 488 T^{5} - 386984 T^{6} + 907924 T^{7} + 13845841 T^{8} \))(\( ( 1 + 10 T + 61 T^{2} )^{4} \))(\( ( 1 + 61 T^{2} )^{4} \))(\( ( 1 + 10 T + 61 T^{2} )^{4} \))(\( 1 + 2 T + 3 T^{2} + 424 T^{3} + 4265 T^{4} + 25864 T^{5} + 11163 T^{6} + 453962 T^{7} + 13845841 T^{8} \))(\( 1 + 2 T + 3 T^{2} + 424 T^{3} + 4265 T^{4} + 25864 T^{5} + 11163 T^{6} + 453962 T^{7} + 13845841 T^{8} \))(\( 1 - 21 T^{2} - 410 T^{3} + 2901 T^{4} - 25010 T^{5} - 78141 T^{6} + 13845841 T^{8} \))(\( 1 - 10 T - 62 T^{2} + 700 T^{3} + 5543 T^{4} - 26410 T^{5} - 544444 T^{6} + 851800 T^{7} + 32679625 T^{8} + 51959800 T^{9} - 2025876124 T^{10} - 5994568210 T^{11} + 76747496663 T^{12} + 591217410700 T^{13} - 3194263210382 T^{14} - 31427428360210 T^{15} + 191707312997281 T^{16} \))(\( 1 - 6 T - 140 T^{2} + 210 T^{3} + 7045 T^{4} + 27242 T^{5} + 433648 T^{6} - 1657580 T^{7} - 60459295 T^{8} - 101112380 T^{9} + 1613604208 T^{10} + 6183416402 T^{11} + 97543949845 T^{12} + 177365223210 T^{13} - 7212852410540 T^{14} - 18856457016126 T^{15} + 191707312997281 T^{16} \))(\( 1 + 26 T + 331 T^{2} + 2856 T^{3} + 14346 T^{4} + 37146 T^{5} + 629326 T^{6} + 14318326 T^{7} + 195406371 T^{8} + 1764901066 T^{9} + 10336656006 T^{10} + 40426619066 T^{11} + 178740751411 T^{12} + 2466023763026 T^{13} + 38462696998326 T^{14} + 400599008861746 T^{15} + 2705565543253011 T^{16} + 12093205176112126 T^{17} + 32423111115110686 T^{18} + 116740325386836066 T^{19} + 2750233112258993226 T^{20} + 33398481241134306696 T^{21} + \)\(23\!\cdots\!31\)\( T^{22} + \)\(11\!\cdots\!86\)\( T^{23} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( 1 + 26 T + 331 T^{2} + 2856 T^{3} + 14346 T^{4} + 37146 T^{5} + 629326 T^{6} + 14318326 T^{7} + 195406371 T^{8} + 1764901066 T^{9} + 10336656006 T^{10} + 40426619066 T^{11} + 178740751411 T^{12} + 2466023763026 T^{13} + 38462696998326 T^{14} + 400599008861746 T^{15} + 2705565543253011 T^{16} + 12093205176112126 T^{17} + 32423111115110686 T^{18} + 116740325386836066 T^{19} + 2750233112258993226 T^{20} + 33398481241134306696 T^{21} + \)\(23\!\cdots\!31\)\( T^{22} + \)\(11\!\cdots\!86\)\( T^{23} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( ( 1 - 10 T + 39 T^{2} - 610 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 - 4 T - 45 T^{2} - 244 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 - 14 T + 61 T^{2} )^{2}( 1 + T + 61 T^{2} )^{2} \))(\( ( 1 + 8 T + 3 T^{2} + 488 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 + 8 T + 3 T^{2} + 488 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 + 8 T + 3 T^{2} + 488 T^{3} + 3721 T^{4} )^{4} \))(\( ( 1 + T - 47 T^{2} - 74 T^{3} - 1478 T^{4} - 4514 T^{5} - 174887 T^{6} + 226981 T^{7} + 13845841 T^{8} )^{2} \))(\( 1 + 118 T^{2} + 10203 T^{4} + 835676 T^{6} + 64821605 T^{8} + 3109550396 T^{10} + 141269115723 T^{12} + 6079404174598 T^{14} + 191707312997281 T^{16} \))(\( 1 + 14 T + 30 T^{2} - 30 T^{3} + 5215 T^{4} + 25262 T^{5} - 186192 T^{6} - 1508020 T^{7} - 4396815 T^{8} - 91989220 T^{9} - 692820432 T^{10} + 5733994022 T^{11} + 72206060815 T^{12} - 25337889030 T^{13} + 1545611230830 T^{14} + 43998399704294 T^{15} + 191707312997281 T^{16} \))(\( 1 - 12 T - 104 T^{2} + 1460 T^{3} + 9310 T^{4} - 110696 T^{5} - 1128308 T^{6} + 9605804 T^{7} + 95707895 T^{8} - 545482080 T^{9} - 8568890440 T^{10} + 31012865040 T^{11} + 647686771260 T^{12} - 1172976299580 T^{13} - 45238788397880 T^{14} + 2951178504100 T^{15} + 3155660575885285 T^{16} + 180021888750100 T^{17} - 168333531628511480 T^{18} - 266243333454967980 T^{19} + 8967768052669329660 T^{20} + 26193351096196217040 T^{21} - \)\(44\!\cdots\!40\)\( T^{22} - \)\(17\!\cdots\!80\)\( T^{23} + \)\(18\!\cdots\!95\)\( T^{24} + \)\(11\!\cdots\!64\)\( T^{25} - \)\(80\!\cdots\!08\)\( T^{26} - \)\(48\!\cdots\!56\)\( T^{27} + \)\(24\!\cdots\!10\)\( T^{28} + \)\(23\!\cdots\!60\)\( T^{29} - \)\(10\!\cdots\!64\)\( T^{30} - \)\(72\!\cdots\!12\)\( T^{31} + \)\(36\!\cdots\!61\)\( T^{32} \))(\( ( 1 - 16 T + 120 T^{2} - 960 T^{3} + 9505 T^{4} - 123568 T^{5} + 1138368 T^{6} - 7181200 T^{7} + 51027345 T^{8} - 438053200 T^{9} + 4235867328 T^{10} - 28047588208 T^{11} + 131604718705 T^{12} - 810812448960 T^{13} + 6182444923320 T^{14} - 50283885376336 T^{15} + 191707312997281 T^{16} )^{2} \))(\( ( 1 - 6 T - 89 T^{2} - 18 T^{3} + 9708 T^{4} - 1098 T^{5} - 331169 T^{6} - 1361886 T^{7} + 13845841 T^{8} )^{2} \))(\( ( 1 + 8 T + 3 T^{2} + 488 T^{3} + 3721 T^{4} )^{4} \))(\( ( 1 - 4 T - 45 T^{2} - 244 T^{3} + 3721 T^{4} )^{4} \))(\( ( 1 - 14 T + 61 T^{2} )^{4}( 1 + T + 61 T^{2} )^{4} \))(\( ( 1 - 4 T - 45 T^{2} - 244 T^{3} + 3721 T^{4} )^{4} \))(\( ( 1 - 4 T - 45 T^{2} - 244 T^{3} + 3721 T^{4} )^{4} \))(\( ( 1 + 8 T + 3 T^{2} + 488 T^{3} + 3721 T^{4} )^{4} \))(\( ( 1 + 12 T + 8 T^{2} + 1176 T^{3} + 13384 T^{4} - 12108 T^{5} + 574064 T^{6} + 5555196 T^{7} - 14824577 T^{8} + 338866956 T^{9} + 2136092144 T^{10} - 2748285948 T^{11} + 185312735944 T^{12} + 993245249976 T^{13} + 412162994888 T^{14} + 37712914032252 T^{15} + 191707312997281 T^{16} )^{2} \))(\( ( 1 - 2 T - 57 T^{2} + 236 T^{3} + 3005 T^{4} + 14396 T^{5} - 212097 T^{6} - 453962 T^{7} + 13845841 T^{8} )( 1 + 31 T + 480 T^{2} + 5069 T^{3} + 42899 T^{4} + 309209 T^{5} + 1786080 T^{6} + 7036411 T^{7} + 13845841 T^{8} ) \))(\( ( 1 - 182 T^{2} + 750 T^{3} + 10603 T^{4} - 113200 T^{5} + 287326 T^{6} + 4141900 T^{7} - 58577995 T^{8} + 252655900 T^{9} + 1069140046 T^{10} - 25694249200 T^{11} + 146807452123 T^{12} + 633447225750 T^{13} - 9376708133702 T^{14} + 191707312997281 T^{16} )^{2} \))(\( ( 1 + 20 T + 218 T^{2} + 1620 T^{3} + 10823 T^{4} + 3220 T^{5} - 850044 T^{6} - 11196000 T^{7} - 89705475 T^{8} - 682956000 T^{9} - 3163013724 T^{10} + 730878820 T^{11} + 149853537143 T^{12} + 1368246007620 T^{13} + 11231441610698 T^{14} + 62854856720420 T^{15} + 191707312997281 T^{16} )^{2} \))(\( ( 1 - 30 T + 478 T^{2} - 6450 T^{3} + 82783 T^{4} - 910430 T^{5} + 8719456 T^{6} - 78408700 T^{7} + 650729825 T^{8} - 4782930700 T^{9} + 32445095776 T^{10} - 206650311830 T^{11} + 1146200255503 T^{12} - 5447646141450 T^{13} + 24626738944558 T^{14} - 94282285080630 T^{15} + 191707312997281 T^{16} )^{2} \))
$67$ (\( 1 - 4 T + 67 T^{2} \))(\( 1 - 8 T + 67 T^{2} \))(\( 1 - 13 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 + 8 T + 67 T^{2} \))(\( 1 + 13 T + 67 T^{2} \))(\( 1 - 118 T^{2} + 4489 T^{4} \))(\( 1 - 118 T^{2} + 4489 T^{4} \))(\( 1 + 35 T^{2} + 4489 T^{4} \))(\( 1 - 118 T^{2} + 4489 T^{4} \))(\( 1 + 4 T - 51 T^{2} + 268 T^{3} + 4489 T^{4} \))(\( ( 1 - 16 T + 67 T^{2} )( 1 + 5 T + 67 T^{2} ) \))(\( 1 - 13 T + 102 T^{2} - 871 T^{3} + 4489 T^{4} \))(\( ( 1 - 16 T + 67 T^{2} )( 1 + 11 T + 67 T^{2} ) \))(\( 1 + 13 T + 102 T^{2} + 871 T^{3} + 4489 T^{4} \))(\( 1 + 13 T + 102 T^{2} + 871 T^{3} + 4489 T^{4} \))(\( ( 1 - 5 T + 67 T^{2} )( 1 + 16 T + 67 T^{2} ) \))(\( 1 - 4 T - 51 T^{2} - 268 T^{3} + 4489 T^{4} \))(\( ( 1 - 16 T + 67 T^{2} )( 1 + 11 T + 67 T^{2} ) \))(\( ( 1 + 7 T - 18 T^{2} + 469 T^{3} + 4489 T^{4} )^{2} \))(\( 1 - 14 T + 19 T^{2} - 602 T^{3} + 13708 T^{4} - 40334 T^{5} + 85291 T^{6} - 4210682 T^{7} + 20151121 T^{8} \))(\( ( 1 + 14 T + 67 T^{2} )^{2}( 1 - 14 T + 129 T^{2} - 938 T^{3} + 4489 T^{4} ) \))(\( ( 1 - 14 T + 67 T^{2} )^{2}( 1 + 14 T + 129 T^{2} + 938 T^{3} + 4489 T^{4} ) \))(\( 1 + 14 T + 19 T^{2} + 602 T^{3} + 13708 T^{4} + 40334 T^{5} + 85291 T^{6} + 4210682 T^{7} + 20151121 T^{8} \))(\( ( 1 - 12 T + 72 T^{2} - 804 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 - 8 T + 32 T^{2} - 536 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 + 12 T + 72 T^{2} + 804 T^{3} + 4489 T^{4} )^{2} \))(\( 1 - 13 T + 12 T^{2} + 895 T^{3} - 9919 T^{4} + 59965 T^{5} + 53868 T^{6} - 3909919 T^{7} + 20151121 T^{8} \))(\( 1 - 18 T + 77 T^{2} - 30 T^{3} + 961 T^{4} - 2010 T^{5} + 345653 T^{6} - 5413734 T^{7} + 20151121 T^{8} \))(\( 1 - 16 T + 29 T^{2} + 868 T^{3} - 9191 T^{4} + 58156 T^{5} + 130181 T^{6} - 4812208 T^{7} + 20151121 T^{8} \))(\( 1 + 2 T + 34 T^{2} + 232 T^{3} - 637 T^{4} - 10798 T^{5} + 66956 T^{6} + 2488096 T^{7} - 7257587 T^{8} + 166702432 T^{9} + 300565484 T^{10} - 3247638874 T^{11} - 12836264077 T^{12} + 313229024824 T^{13} + 3075584993746 T^{14} + 12121423210646 T^{15} + 406067677556641 T^{16} \))(\( 1 + 11 T + 103 T^{2} + 1672 T^{3} + 14576 T^{4} + 139271 T^{5} + 1482950 T^{6} + 11696476 T^{7} + 89866399 T^{8} + 783663892 T^{9} + 6656962550 T^{10} + 41887563773 T^{11} + 293722739696 T^{12} + 2257409178904 T^{13} + 9317213363407 T^{14} + 66667827658553 T^{15} + 406067677556641 T^{16} \))(\( 1 + 16 T + 41 T^{2} - 1646 T^{3} - 19888 T^{4} + 9078 T^{5} + 1871366 T^{6} + 13090638 T^{7} - 40906785 T^{8} - 1205696466 T^{9} - 5599022836 T^{10} + 41834098474 T^{11} + 684349156075 T^{12} + 2802884597758 T^{13} - 25134013510804 T^{14} - 362628886203558 T^{15} - 824317574255985 T^{16} + 17673999030448266 T^{17} + 169280740806072854 T^{18} + 55019139953122194 T^{19} - 8075873971246476208 T^{20} - 44781955616301482762 T^{21} + 74736349986622219409 T^{22} + \)\(19\!\cdots\!28\)\( T^{23} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( 1 + 16 T + 41 T^{2} - 1646 T^{3} - 19888 T^{4} + 9078 T^{5} + 1871366 T^{6} + 13090638 T^{7} - 40906785 T^{8} - 1205696466 T^{9} - 5599022836 T^{10} + 41834098474 T^{11} + 684349156075 T^{12} + 2802884597758 T^{13} - 25134013510804 T^{14} - 362628886203558 T^{15} - 824317574255985 T^{16} + 17673999030448266 T^{17} + 169280740806072854 T^{18} + 55019139953122194 T^{19} - 8075873971246476208 T^{20} - 44781955616301482762 T^{21} + 74736349986622219409 T^{22} + \)\(19\!\cdots\!28\)\( T^{23} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( ( 1 - 13 T^{2} + 4489 T^{4} )( 1 + 122 T^{2} + 4489 T^{4} ) \))(\( 1 - 35 T^{2} - 3264 T^{4} - 157115 T^{6} + 20151121 T^{8} \))(\( 1 - 35 T^{2} - 3264 T^{4} - 157115 T^{6} + 20151121 T^{8} \))(\( 1 + 118 T^{2} + 9435 T^{4} + 529702 T^{6} + 20151121 T^{8} \))(\( ( 1 - 13 T^{2} + 4489 T^{4} )( 1 + 122 T^{2} + 4489 T^{4} ) \))(\( ( 1 + 62 T^{2} + 4489 T^{4} )^{2}( 1 - 62 T^{2} - 645 T^{4} - 278318 T^{6} + 20151121 T^{8} ) \))(\( ( 1 + 85 T^{2} + 2736 T^{4} + 381565 T^{6} + 20151121 T^{8} )^{2} \))(\( 1 - 10 T + 88 T^{2} - 1660 T^{3} + 11615 T^{4} - 86790 T^{5} + 911158 T^{6} - 5793400 T^{7} + 42525189 T^{8} - 388157800 T^{9} + 4090188262 T^{10} - 26103220770 T^{11} + 234055270415 T^{12} - 2241207677620 T^{13} + 7960337630872 T^{14} - 60607116053230 T^{15} + 406067677556641 T^{16} \))(\( 1 - 10 T + 195 T^{2} - 2790 T^{3} + 29716 T^{4} - 356960 T^{5} + 3452465 T^{6} - 30345750 T^{7} + 284471411 T^{8} - 2033165250 T^{9} + 15498115385 T^{10} - 107360360480 T^{11} + 598810711636 T^{12} - 3766849048530 T^{13} + 17639384522955 T^{14} - 60607116053230 T^{15} + 406067677556641 T^{16} \))(\( 1 + 50 T + 1390 T^{2} + 30100 T^{3} + 553682 T^{4} + 8918100 T^{5} + 129754300 T^{6} + 1739003620 T^{7} + 21685053163 T^{8} + 253853201940 T^{9} + 2808527300190 T^{10} + 29485013121570 T^{11} + 294663718701784 T^{12} + 2810511152550240 T^{13} + 25630455288876000 T^{14} + 223725991474439120 T^{15} + 1870714073010261365 T^{16} + 14989641428787421040 T^{17} + \)\(11\!\cdots\!00\)\( T^{18} + \)\(84\!\cdots\!20\)\( T^{19} + \)\(59\!\cdots\!64\)\( T^{20} + \)\(39\!\cdots\!90\)\( T^{21} + \)\(25\!\cdots\!10\)\( T^{22} + \)\(15\!\cdots\!20\)\( T^{23} + \)\(88\!\cdots\!83\)\( T^{24} + \)\(47\!\cdots\!40\)\( T^{25} + \)\(23\!\cdots\!00\)\( T^{26} + \)\(10\!\cdots\!00\)\( T^{27} + \)\(45\!\cdots\!02\)\( T^{28} + \)\(16\!\cdots\!00\)\( T^{29} + \)\(51\!\cdots\!10\)\( T^{30} + \)\(12\!\cdots\!50\)\( T^{31} + \)\(16\!\cdots\!81\)\( T^{32} \))(\( ( 1 + 20 T + 198 T^{2} + 1470 T^{3} + 10135 T^{4} + 65680 T^{5} + 492368 T^{6} + 6337980 T^{7} + 70845689 T^{8} + 424644660 T^{9} + 2210239952 T^{10} + 19754113840 T^{11} + 204231611335 T^{12} + 1984683907290 T^{13} + 17910759669462 T^{14} + 121214232106460 T^{15} + 406067677556641 T^{16} )^{2} \))(\( 1 + 4 T + 8 T^{2} - 304 T^{3} - 3511 T^{4} - 10624 T^{5} + 31800 T^{6} + 1654308 T^{7} - 4277600 T^{8} + 110838636 T^{9} + 142750200 T^{10} - 3195306112 T^{11} - 70750585831 T^{12} - 410438032528 T^{13} + 723667057352 T^{14} + 24242846421292 T^{15} + 406067677556641 T^{16} \))(\( ( 1 - 8809 T^{4} + 20151121 T^{8} )( 1 + 2903 T^{4} + 20151121 T^{8} ) \))(\( 1 + 216 T^{2} + 26737 T^{4} + 2415960 T^{6} + 174766032 T^{8} + 10845244440 T^{10} + 538780522177 T^{12} + 19539010548504 T^{14} + 406067677556641 T^{16} \))(\( ( 1 + 2903 T^{4} + 20151121 T^{8} )( 1 + 5906 T^{4} + 20151121 T^{8} ) \))(\( 1 - 216 T^{2} + 26737 T^{4} - 2415960 T^{6} + 174766032 T^{8} - 10845244440 T^{10} + 538780522177 T^{12} - 19539010548504 T^{14} + 406067677556641 T^{16} \))(\( 1 - 8183 T^{4} + 46810368 T^{8} - 164896623143 T^{12} + 406067677556641 T^{16} \))(\( 1 + 5497 T^{4} + 10065888 T^{8} + 110770712137 T^{12} + 406067677556641 T^{16} \))(\( 1 - 16 T + 128 T^{2} + 128 T^{3} - 5562 T^{4} + 6640 T^{5} + 613888 T^{6} - 5277488 T^{7} + 23820881 T^{8} - 40207664 T^{9} + 355221248 T^{10} - 2724412528 T^{11} + 197658905958 T^{12} - 3038720900128 T^{13} + 23981818128000 T^{14} + 20130978078192 T^{15} - 1000499923621916 T^{16} + 1348775531238864 T^{17} + 107654381576592000 T^{18} - 913934814085197664 T^{19} + 3983048530687278918 T^{20} - 3678297755878140496 T^{21} + 32132739406133126912 T^{22} - \)\(24\!\cdots\!72\)\( T^{23} + \)\(96\!\cdots\!21\)\( T^{24} - \)\(14\!\cdots\!36\)\( T^{25} + \)\(11\!\cdots\!12\)\( T^{26} + \)\(81\!\cdots\!20\)\( T^{27} - \)\(45\!\cdots\!82\)\( T^{28} + \)\(70\!\cdots\!36\)\( T^{29} + \)\(47\!\cdots\!12\)\( T^{30} - \)\(39\!\cdots\!88\)\( T^{31} + \)\(16\!\cdots\!81\)\( T^{32} \))(\( 1 - 7 T + 82 T^{2} + 541 T^{3} - 5812 T^{4} + 76154 T^{5} - 153016 T^{6} - 2655272 T^{7} + 36651313 T^{8} - 177903224 T^{9} - 686888824 T^{10} + 22904305502 T^{11} - 117118315252 T^{12} + 730417682887 T^{13} + 7417587337858 T^{14} - 42424981237261 T^{15} + 406067677556641 T^{16} \))(\( ( 1 - 12 T + 72 T^{2} - 964 T^{3} + 4023 T^{4} + 41144 T^{5} - 226356 T^{6} + 3623708 T^{7} - 63176047 T^{8} + 242788436 T^{9} - 1016112084 T^{10} + 12374592872 T^{11} + 81067959783 T^{12} - 1301520603148 T^{13} + 6513003516168 T^{14} - 72728539263876 T^{15} + 406067677556641 T^{16} )^{2} \))(\( ( 1 + 32 T + 572 T^{2} + 7664 T^{3} + 78423 T^{4} + 617576 T^{5} + 3884304 T^{6} + 20172132 T^{7} + 119941873 T^{8} + 1351532844 T^{9} + 17436640656 T^{10} + 185744010488 T^{11} + 1580311362183 T^{12} + 10347358820048 T^{13} + 51742194600668 T^{14} + 193942771370336 T^{15} + 406067677556641 T^{16} )^{2} \))(\( ( 1 + 28 T + 312 T^{2} + 1446 T^{3} - 8557 T^{4} - 190756 T^{5} - 803166 T^{6} + 7412388 T^{7} + 112802353 T^{8} + 496629996 T^{9} - 3605412174 T^{10} - 57372346828 T^{11} - 172433142397 T^{12} + 1952280904722 T^{13} + 28223015236728 T^{14} + 169699924949044 T^{15} + 406067677556641 T^{16} )^{2} \))
$71$ (\( 1 - 12 T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( ( 1 - 12 T + 71 T^{2} )^{2} \))(\( ( 1 + 71 T^{2} )^{2} \))(\( ( 1 + 12 T + 71 T^{2} )^{2} \))(\( ( 1 + 12 T + 71 T^{2} )^{2} \))(\( ( 1 + 6 T + 71 T^{2} )^{2} \))(\( ( 1 + 6 T + 71 T^{2} )^{2} \))(\( ( 1 - 6 T + 71 T^{2} )^{2} \))(\( ( 1 - 6 T + 71 T^{2} )^{2} \))(\( ( 1 + 6 T + 71 T^{2} )^{2} \))(\( ( 1 - 6 T + 71 T^{2} )^{2} \))(\( ( 1 + 6 T + 71 T^{2} )^{2} \))(\( ( 1 + 6 T + 71 T^{2} )^{2} \))(\( ( 1 + 12 T + 71 T^{2} )^{2} \))(\( ( 1 + 6 T + 71 T^{2} )^{4} \))(\( ( 1 + 136 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 - 12 T + 124 T^{2} - 852 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 - 12 T + 124 T^{2} - 852 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 + 136 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 - 70 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 - 110 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 - 70 T^{2} + 5041 T^{4} )^{2} \))(\( 1 + 3 T - 62 T^{2} - 399 T^{3} + 3205 T^{4} - 28329 T^{5} - 312542 T^{6} + 1073733 T^{7} + 25411681 T^{8} \))(\( 1 + 28 T + 313 T^{2} + 2126 T^{3} + 14805 T^{4} + 150946 T^{5} + 1577833 T^{6} + 10021508 T^{7} + 25411681 T^{8} \))(\( 1 - 20 T + 89 T^{2} + 1420 T^{3} - 22639 T^{4} + 100820 T^{5} + 448649 T^{6} - 7158220 T^{7} + 25411681 T^{8} \))(\( 1 - 182 T^{2} + 750 T^{3} + 7983 T^{4} - 134400 T^{5} + 952256 T^{6} + 5830800 T^{7} - 134438695 T^{8} + 413986800 T^{9} + 4800322496 T^{10} - 48103238400 T^{11} + 202861449423 T^{12} + 1353172013250 T^{13} - 23314251673622 T^{14} + 645753531245761 T^{16} \))(\( 1 - 9 T + 75 T^{2} - 1220 T^{3} + 18360 T^{4} - 165937 T^{5} + 1180298 T^{6} - 14013840 T^{7} + 141940835 T^{8} - 994982640 T^{9} + 5949882218 T^{10} - 59390677607 T^{11} + 466558463160 T^{12} - 2201159808220 T^{13} + 9607521294075 T^{14} - 81856081425519 T^{15} + 645753531245761 T^{16} \))(\( 1 - 48 T + 1075 T^{2} - 14632 T^{3} + 121834 T^{4} - 217632 T^{5} - 11827404 T^{6} + 218641680 T^{7} - 2132764051 T^{8} + 10733037072 T^{9} + 34603163190 T^{10} - 1365818396500 T^{11} + 15372122385915 T^{12} - 96973106151500 T^{13} + 174434545640790 T^{14} + 3841472031476592 T^{15} - 54197119712279731 T^{16} + 394479736407949680 T^{17} - 1515093810448371084 T^{18} - 1979389190310950112 T^{19} + 78674735725796045674 T^{20} - \)\(67\!\cdots\!92\)\( T^{21} + \)\(34\!\cdots\!75\)\( T^{22} - \)\(11\!\cdots\!08\)\( T^{23} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( 1 + 48 T + 1075 T^{2} + 14632 T^{3} + 121834 T^{4} + 217632 T^{5} - 11827404 T^{6} - 218641680 T^{7} - 2132764051 T^{8} - 10733037072 T^{9} + 34603163190 T^{10} + 1365818396500 T^{11} + 15372122385915 T^{12} + 96973106151500 T^{13} + 174434545640790 T^{14} - 3841472031476592 T^{15} - 54197119712279731 T^{16} - 394479736407949680 T^{17} - 1515093810448371084 T^{18} + 1979389190310950112 T^{19} + 78674735725796045674 T^{20} + \)\(67\!\cdots\!92\)\( T^{21} + \)\(34\!\cdots\!75\)\( T^{22} + \)\(11\!\cdots\!08\)\( T^{23} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( ( 1 - 6 T + 71 T^{2} )^{4} \))(\( ( 1 - 6 T + 71 T^{2} )^{4} \))(\( ( 1 + 6 T + 71 T^{2} )^{4} \))(\( ( 1 + 6 T + 71 T^{2} )^{4} \))(\( ( 1 + 12 T + 71 T^{2} )^{4} \))(\( ( 1 - 12 T + 124 T^{2} - 852 T^{3} + 5041 T^{4} )^{4} \))(\( ( 1 + 6 T + 71 T^{2} )^{8} \))(\( 1 + 20 T + 118 T^{2} - 490 T^{3} - 14397 T^{4} - 149580 T^{5} - 402414 T^{6} + 9696700 T^{7} + 137916525 T^{8} + 688465700 T^{9} - 2028568974 T^{10} - 53536327380 T^{11} - 365851971357 T^{12} - 884072381990 T^{13} + 15115833502678 T^{14} + 181902403167820 T^{15} + 645753531245761 T^{16} \))(\( 1 - 34 T + 425 T^{2} - 2570 T^{3} + 16960 T^{4} - 219512 T^{5} + 2212323 T^{6} - 19311440 T^{7} + 171308535 T^{8} - 1371112240 T^{9} + 11152320243 T^{10} - 78565759432 T^{11} + 430982109760 T^{12} - 4636869432070 T^{13} + 54442620666425 T^{14} - 309234085385294 T^{15} + 645753531245761 T^{16} \))(\( 1 - 28 T + 256 T^{2} - 1150 T^{3} + 20770 T^{4} - 328604 T^{5} + 2351902 T^{6} - 21115094 T^{7} + 321977895 T^{8} - 2983992020 T^{9} + 18685321160 T^{10} - 180970630790 T^{11} + 2127756781760 T^{12} - 17298444226470 T^{13} + 123520240637920 T^{14} - 1239239342309850 T^{15} + 12274938369025885 T^{16} - 87985993303999350 T^{17} + 622665533055754720 T^{18} - 6191303471540104170 T^{19} + 54069876583671738560 T^{20} - \)\(32\!\cdots\!90\)\( T^{21} + \)\(23\!\cdots\!60\)\( T^{22} - \)\(27\!\cdots\!20\)\( T^{23} + \)\(20\!\cdots\!95\)\( T^{24} - \)\(96\!\cdots\!14\)\( T^{25} + \)\(76\!\cdots\!02\)\( T^{26} - \)\(75\!\cdots\!84\)\( T^{27} + \)\(34\!\cdots\!70\)\( T^{28} - \)\(13\!\cdots\!50\)\( T^{29} + \)\(21\!\cdots\!36\)\( T^{30} - \)\(16\!\cdots\!28\)\( T^{31} + \)\(41\!\cdots\!21\)\( T^{32} \))(\( 1 - 276 T^{2} + 34250 T^{4} - 2419780 T^{6} + 80093635 T^{8} + 3842028412 T^{10} - 741573573372 T^{12} + 57460499529840 T^{14} - 3784985104999915 T^{16} + 289658378129923440 T^{18} - 18844631084559358332 T^{20} + \)\(49\!\cdots\!52\)\( T^{22} + \)\(51\!\cdots\!35\)\( T^{24} - \)\(78\!\cdots\!80\)\( T^{26} + \)\(56\!\cdots\!50\)\( T^{28} - \)\(22\!\cdots\!56\)\( T^{30} + \)\(41\!\cdots\!21\)\( T^{32} \))(\( ( 1 - 244 T^{2} + 24582 T^{4} - 1230004 T^{6} + 25411681 T^{8} )^{2} \))(\( ( 1 - 130 T^{2} + 5041 T^{4} )^{4} \))(\( ( 1 - 116 T^{2} + 12474 T^{4} - 584756 T^{6} + 25411681 T^{8} )^{2} \))(\( ( 1 - 130 T^{2} + 5041 T^{4} )^{4} \))(\( ( 1 - 116 T^{2} + 12474 T^{4} - 584756 T^{6} + 25411681 T^{8} )^{2} \))(\( ( 1 + 50 T^{2} + 5041 T^{4} )^{4} \))(\( ( 1 - 94 T^{2} + 5041 T^{4} )^{4} \))(\( ( 1 - 296 T^{2} + 51256 T^{4} - 5830568 T^{6} + 486270130 T^{8} - 29391893288 T^{10} + 1302501121336 T^{12} - 37917684040616 T^{14} + 645753531245761 T^{16} )^{2} \))(\( ( 1 + 6 T + 65 T^{2} + 294 T^{3} + 889 T^{4} + 20874 T^{5} + 327665 T^{6} + 2147466 T^{7} + 25411681 T^{8} )^{2} \))(\( 1 + 240 T^{2} + 28638 T^{4} + 2436480 T^{6} + 132505763 T^{8} + 778560240 T^{10} - 702808292484 T^{12} - 96243271833600 T^{14} - 8226407207003195 T^{16} - 485162333313177600 T^{18} - 17859540132758105604 T^{20} + 99733787793601901040 T^{22} + \)\(85\!\cdots\!43\)\( T^{24} + \)\(79\!\cdots\!80\)\( T^{26} + \)\(46\!\cdots\!58\)\( T^{28} + \)\(19\!\cdots\!40\)\( T^{30} + \)\(41\!\cdots\!21\)\( T^{32} \))(\( 1 + 300 T^{2} + 29338 T^{4} - 689700 T^{6} - 392279837 T^{8} - 32340906500 T^{10} - 382411220684 T^{12} + 141968363327600 T^{14} + 15009370610202005 T^{16} + 715662519534431600 T^{18} - 9717711950842409804 T^{20} - \)\(41\!\cdots\!00\)\( T^{22} - \)\(25\!\cdots\!57\)\( T^{24} - \)\(22\!\cdots\!00\)\( T^{26} + \)\(48\!\cdots\!58\)\( T^{28} + \)\(24\!\cdots\!00\)\( T^{30} + \)\(41\!\cdots\!21\)\( T^{32} \))(\( 1 + 10398 T^{4} + 127680 T^{6} + 63554723 T^{8} + 898867200 T^{10} + 289113089916 T^{12} + 5645744025600 T^{14} + 1031640459128005 T^{16} + 28460195633049600 T^{18} + 7346849613869708796 T^{20} + \)\(11\!\cdots\!00\)\( T^{22} + \)\(41\!\cdots\!03\)\( T^{24} + \)\(41\!\cdots\!80\)\( T^{26} + \)\(17\!\cdots\!18\)\( T^{28} + \)\(41\!\cdots\!21\)\( T^{32} \))
$73$ (\( 1 - 10 T + 73 T^{2} \))(\( 1 - 4 T + 73 T^{2} \))(\( 1 + 11 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 - 10 T + 73 T^{2} \))(\( 1 + 4 T + 73 T^{2} \))(\( 1 - 11 T + 73 T^{2} \))(\( 1 - 46 T^{2} + 5329 T^{4} \))(\( 1 - 142 T^{2} + 5329 T^{4} \))(\( 1 - 25 T^{2} + 5329 T^{4} \))(\( 1 - 46 T^{2} + 5329 T^{4} \))(\( ( 1 + 14 T + 73 T^{2} )^{2} \))(\( ( 1 + 4 T + 73 T^{2} )^{2} \))(\( ( 1 + T + 73 T^{2} )^{2} \))(\( ( 1 - 7 T + 73 T^{2} )^{2} \))(\( ( 1 - 4 T + 73 T^{2} )^{2} \))(\( ( 1 - T + 73 T^{2} )^{2} \))(\( ( 1 - 4 T + 73 T^{2} )^{2} \))(\( ( 1 - 14 T + 73 T^{2} )^{2} \))(\( ( 1 + 11 T + 73 T^{2} )^{2} \))(\( ( 1 - 11 T + 102 T^{2} - 803 T^{3} + 5329 T^{4} )^{2} \))(\( ( 1 + 10 T + 75 T^{2} + 730 T^{3} + 5329 T^{4} )^{2} \))(\( ( 1 - T + 73 T^{2} )^{4} \))(\( ( 1 + T + 73 T^{2} )^{4} \))(\( ( 1 - 10 T + 75 T^{2} - 730 T^{3} + 5329 T^{4} )^{2} \))(\( ( 1 - 12 T + 72 T^{2} - 876 T^{3} + 5329 T^{4} )^{2} \))(\( ( 1 + 2 T + 2 T^{2} + 146 T^{3} + 5329 T^{4} )^{2} \))(\( ( 1 + 12 T + 72 T^{2} + 876 T^{3} + 5329 T^{4} )^{2} \))(\( 1 - 14 T + 63 T^{2} - 850 T^{3} + 12521 T^{4} - 62050 T^{5} + 335727 T^{6} - 5446238 T^{7} + 28398241 T^{8} \))(\( 1 - 14 T + 3 T^{2} + 980 T^{3} - 9259 T^{4} + 71540 T^{5} + 15987 T^{6} - 5446238 T^{7} + 28398241 T^{8} \))(\( 1 - 2 T + 51 T^{2} - 376 T^{3} + 6389 T^{4} - 27448 T^{5} + 271779 T^{6} - 778034 T^{7} + 28398241 T^{8} \))(\( 1 + 24 T + 226 T^{2} + 1116 T^{3} + 5643 T^{4} + 16584 T^{5} - 622036 T^{6} - 12920832 T^{7} - 137738827 T^{8} - 943220736 T^{9} - 3314829844 T^{10} + 6451457928 T^{11} + 160251273963 T^{12} + 2313547897788 T^{13} + 34201535141314 T^{14} + 265137564458328 T^{15} + 806460091894081 T^{16} \))(\( 1 + 8 T + 62 T^{2} + 1114 T^{3} + 11231 T^{4} + 71208 T^{5} + 863380 T^{6} + 9235272 T^{7} + 61248289 T^{8} + 674174856 T^{9} + 4600952020 T^{10} + 27701122536 T^{11} + 318940644671 T^{12} + 2309401754602 T^{13} + 9382722029918 T^{14} + 88379188152776 T^{15} + 806460091894081 T^{16} \))(\( 1 + 30 T + 361 T^{2} + 2900 T^{3} + 28374 T^{4} + 255570 T^{5} + 1562330 T^{6} + 9342990 T^{7} + 52825615 T^{8} + 492207530 T^{9} + 8592376626 T^{10} + 63871721690 T^{11} + 283645412871 T^{12} + 4662635683370 T^{13} + 45788775039954 T^{14} + 191477096698010 T^{15} + 1500154545743215 T^{16} + 19368687162683070 T^{17} + 236434001758093370 T^{18} + 2823383639525620290 T^{19} + 22882498647402654294 T^{20} + \)\(17\!\cdots\!00\)\( T^{21} + \)\(15\!\cdots\!89\)\( T^{22} + \)\(94\!\cdots\!10\)\( T^{23} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 + 30 T + 361 T^{2} + 2900 T^{3} + 28374 T^{4} + 255570 T^{5} + 1562330 T^{6} + 9342990 T^{7} + 52825615 T^{8} + 492207530 T^{9} + 8592376626 T^{10} + 63871721690 T^{11} + 283645412871 T^{12} + 4662635683370 T^{13} + 45788775039954 T^{14} + 191477096698010 T^{15} + 1500154545743215 T^{16} + 19368687162683070 T^{17} + 236434001758093370 T^{18} + 2823383639525620290 T^{19} + 22882498647402654294 T^{20} + \)\(17\!\cdots\!00\)\( T^{21} + \)\(15\!\cdots\!89\)\( T^{22} + \)\(94\!\cdots\!10\)\( T^{23} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( ( 1 - 97 T^{2} + 5329 T^{4} )^{2} \))(\( ( 1 - 145 T^{2} + 5329 T^{4} )^{2} \))(\( ( 1 - 130 T^{2} + 5329 T^{4} )^{2} \))(\( ( 1 + 50 T^{2} + 5329 T^{4} )^{2} \))(\( ( 1 - 25 T^{2} + 5329 T^{4} )^{2} \))(\( ( 1 - 145 T^{2} + 5329 T^{4} )^{4} \))(\( ( 1 - 83 T^{2} + 3396 T^{4} - 442307 T^{6} + 28398241 T^{8} )^{2} \))(\( 1 + 20 T + 282 T^{2} + 3780 T^{3} + 46315 T^{4} + 505780 T^{5} + 5254892 T^{6} + 48564720 T^{7} + 416447549 T^{8} + 3545224560 T^{9} + 28003319468 T^{10} + 196757018260 T^{11} + 1315264531915 T^{12} + 7836210621540 T^{13} + 42676251813498 T^{14} + 220947970381940 T^{15} + 806460091894081 T^{16} \))(\( 1 + 110 T^{2} + 840 T^{3} + 6291 T^{4} + 92400 T^{5} + 907660 T^{6} + 5561520 T^{7} + 91719461 T^{8} + 405990960 T^{9} + 4836920140 T^{10} + 35945170800 T^{11} + 178653334131 T^{12} + 1741380138120 T^{13} + 16646764891790 T^{14} + 806460091894081 T^{16} \))(\( 1 - 20 T + 380 T^{2} - 7420 T^{3} + 107282 T^{4} - 1509240 T^{5} + 20338260 T^{6} - 240254580 T^{7} + 2794851843 T^{8} - 31155740720 T^{9} + 320911861980 T^{10} - 3274927660920 T^{11} + 32181004976604 T^{12} - 299417039187980 T^{13} + 2775262759264800 T^{14} - 24764197420905260 T^{15} + 211758644546106765 T^{16} - 1807786411726083980 T^{17} + 14789375244122119200 T^{18} - \)\(11\!\cdots\!60\)\( T^{19} + \)\(91\!\cdots\!64\)\( T^{20} - \)\(67\!\cdots\!60\)\( T^{21} + \)\(48\!\cdots\!20\)\( T^{22} - \)\(34\!\cdots\!40\)\( T^{23} + \)\(22\!\cdots\!83\)\( T^{24} - \)\(14\!\cdots\!40\)\( T^{25} + \)\(87\!\cdots\!40\)\( T^{26} - \)\(47\!\cdots\!80\)\( T^{27} + \)\(24\!\cdots\!22\)\( T^{28} - \)\(12\!\cdots\!60\)\( T^{29} + \)\(46\!\cdots\!20\)\( T^{30} - \)\(17\!\cdots\!40\)\( T^{31} + \)\(65\!\cdots\!61\)\( T^{32} \))(\( ( 1 - 34 T^{2} - 300 T^{3} + 1527 T^{4} + 10200 T^{5} + 149668 T^{6} + 870600 T^{7} - 18783595 T^{8} + 63553800 T^{9} + 797580772 T^{10} + 3967973400 T^{11} + 43364114007 T^{12} - 621921477900 T^{13} - 5145363693826 T^{14} + 806460091894081 T^{16} )^{2} \))(\( ( 1 - 8 T + 32 T^{2} - 264 T^{3} + 578 T^{4} - 19272 T^{5} + 170528 T^{6} - 3112136 T^{7} + 28398241 T^{8} )^{2} \))(\( ( 1 - 1054 T^{4} + 28398241 T^{8} )^{2} \))(\( ( 1 + 3503 T^{4} + 28398241 T^{8} )^{2} \))(\( ( 1 - 8542 T^{4} + 28398241 T^{8} )^{2} \))(\( ( 1 + 3503 T^{4} + 28398241 T^{8} )^{2} \))(\( ( 1 - 5617 T^{4} + 28398241 T^{8} )^{2} \))(\( ( 1 - 10657 T^{4} + 28398241 T^{8} )^{2} \))(\( ( 1 + 8 T + 32 T^{2} + 736 T^{3} + 2366 T^{4} - 45704 T^{5} - 170496 T^{6} - 3682392 T^{7} - 78261341 T^{8} - 268814616 T^{9} - 908573184 T^{10} - 17779632968 T^{11} + 67190238206 T^{12} + 1525780692448 T^{13} + 4842695241248 T^{14} + 88379188152776 T^{15} + 806460091894081 T^{16} )^{2} \))(\( ( 1 - 6 T - 37 T^{2} + 660 T^{3} - 1259 T^{4} + 48180 T^{5} - 197173 T^{6} - 2334102 T^{7} + 28398241 T^{8} )^{2} \))(\( ( 1 + 38 T + 822 T^{2} + 11634 T^{3} + 108651 T^{4} + 462898 T^{5} - 4203400 T^{6} - 108626388 T^{7} - 1190551871 T^{8} - 7929726324 T^{9} - 22399918600 T^{10} + 180075191266 T^{11} + 3085497282891 T^{12} + 24118114912962 T^{13} + 124396734009558 T^{14} + 419801143725686 T^{15} + 806460091894081 T^{16} )^{2} \))(\( ( 1 + 42 T + 762 T^{2} + 7106 T^{3} + 24251 T^{4} - 107238 T^{5} + 769440 T^{6} + 52193728 T^{7} + 663936289 T^{8} + 3810142144 T^{9} + 4100345760 T^{10} - 41717405046 T^{11} + 688685742491 T^{12} + 14731246739858 T^{13} + 115316680432218 T^{14} + 463990737802074 T^{15} + 806460091894081 T^{16} )^{2} \))(\( ( 1 + 18 T + 182 T^{2} + 2594 T^{3} + 22311 T^{4} + 96938 T^{5} + 775600 T^{6} + 2071352 T^{7} - 37224151 T^{8} + 151208696 T^{9} + 4133172400 T^{10} + 37710529946 T^{11} + 633593154951 T^{12} + 5377547712242 T^{13} + 27542829184598 T^{14} + 198853173343746 T^{15} + 806460091894081 T^{16} )^{2} \))
$79$ (\( 1 + 4 T + 79 T^{2} \))(\( 1 + 79 T^{2} \))(\( 1 + 10 T + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 + 4 T + 79 T^{2} \))(\( 1 + 79 T^{2} \))(\( 1 + 10 T + 79 T^{2} \))(\( ( 1 - 4 T + 79 T^{2} )^{2} \))(\( ( 1 + 8 T + 79 T^{2} )^{2} \))(\( ( 1 - 10 T + 79 T^{2} )^{2} \))(\( ( 1 - 4 T + 79 T^{2} )^{2} \))(\( 1 + 8 T - 15 T^{2} + 632 T^{3} + 6241 T^{4} \))(\( 1 - 12 T + 65 T^{2} - 948 T^{3} + 6241 T^{4} \))(\( 1 + 2 T - 75 T^{2} + 158 T^{3} + 6241 T^{4} \))(\( 1 + 14 T + 117 T^{2} + 1106 T^{3} + 6241 T^{4} \))(\( 1 - 10 T + 21 T^{2} - 790 T^{3} + 6241 T^{4} \))(\( 1 + 2 T - 75 T^{2} + 158 T^{3} + 6241 T^{4} \))(\( 1 - 12 T + 65 T^{2} - 948 T^{3} + 6241 T^{4} \))(\( 1 + 8 T - 15 T^{2} + 632 T^{3} + 6241 T^{4} \))(\( ( 1 - 17 T + 79 T^{2} )( 1 + 13 T + 79 T^{2} ) \))(\( ( 1 + 2 T - 75 T^{2} + 158 T^{3} + 6241 T^{4} )^{2} \))(\( 1 - 104 T^{2} + 4575 T^{4} - 649064 T^{6} + 38950081 T^{8} \))(\( 1 + 4 T + 70 T^{2} - 848 T^{3} - 4589 T^{4} - 66992 T^{5} + 436870 T^{6} + 1972156 T^{7} + 38950081 T^{8} \))(\( 1 + 4 T + 70 T^{2} - 848 T^{3} - 4589 T^{4} - 66992 T^{5} + 436870 T^{6} + 1972156 T^{7} + 38950081 T^{8} \))(\( 1 - 104 T^{2} + 4575 T^{4} - 649064 T^{6} + 38950081 T^{8} \))(\( ( 1 - 94 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 - 14 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 - 94 T^{2} + 6241 T^{4} )^{2} \))(\( 1 - 10 T - 39 T^{2} + 790 T^{3} - 2839 T^{4} + 62410 T^{5} - 243399 T^{6} - 4930390 T^{7} + 38950081 T^{8} \))(\( 1 - 79 T^{2} + 6241 T^{4} - 493039 T^{6} + 38950081 T^{8} \))(\( 1 - 2 T - 55 T^{2} + 578 T^{3} + 3679 T^{4} + 45662 T^{5} - 343255 T^{6} - 986078 T^{7} + 38950081 T^{8} \))(\( 1 + 6 T + 34 T^{2} + 336 T^{3} + 4761 T^{4} - 34122 T^{5} + 60506 T^{6} - 838512 T^{7} + 1917227 T^{8} - 66242448 T^{9} + 377617946 T^{10} - 16823476758 T^{11} + 185441335641 T^{12} + 1033890950064 T^{13} + 8264973487714 T^{14} + 115223453916954 T^{15} + 1517108809906561 T^{16} \))(\( 1 + 10 T - 38 T^{2} + 320 T^{3} + 15323 T^{4} + 59210 T^{5} - 186436 T^{6} + 4386400 T^{7} + 89172925 T^{8} + 346525600 T^{9} - 1163547076 T^{10} + 29192839190 T^{11} + 596832091163 T^{12} + 984658047680 T^{13} - 9237323309798 T^{14} + 192039089861590 T^{15} + 1517108809906561 T^{16} \))(\( 1 + 18 T + 39 T^{2} - 778 T^{3} + 7476 T^{4} + 334048 T^{5} + 2263454 T^{6} - 15862408 T^{7} - 150964159 T^{8} + 1962807008 T^{9} + 29425549114 T^{10} - 11043695308 T^{11} - 2130346215359 T^{12} - 872451929332 T^{13} + 183644852020474 T^{14} + 967740404417312 T^{15} - 5880066221146879 T^{16} - 48809524039948792 T^{17} + 550217273548829534 T^{18} + 6415027389008441632 T^{19} + 11341905462861450036 T^{20} - 93244541674477052182 T^{21} + \)\(36\!\cdots\!39\)\( T^{22} + \)\(13\!\cdots\!22\)\( T^{23} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 + 18 T + 39 T^{2} - 778 T^{3} + 7476 T^{4} + 334048 T^{5} + 2263454 T^{6} - 15862408 T^{7} - 150964159 T^{8} + 1962807008 T^{9} + 29425549114 T^{10} - 11043695308 T^{11} - 2130346215359 T^{12} - 872451929332 T^{13} + 183644852020474 T^{14} + 967740404417312 T^{15} - 5880066221146879 T^{16} - 48809524039948792 T^{17} + 550217273548829534 T^{18} + 6415027389008441632 T^{19} + 11341905462861450036 T^{20} - 93244541674477052182 T^{21} + \)\(36\!\cdots\!39\)\( T^{22} + \)\(13\!\cdots\!22\)\( T^{23} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( ( 1 - 14 T + 117 T^{2} - 1106 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 - 2 T - 75 T^{2} - 158 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 + 10 T + 21 T^{2} + 790 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 - 8 T - 15 T^{2} - 632 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 - 13 T + 79 T^{2} )^{2}( 1 + 17 T + 79 T^{2} )^{2} \))(\( ( 1 - 4 T + 70 T^{2} + 848 T^{3} - 4589 T^{4} + 66992 T^{5} + 436870 T^{6} - 1972156 T^{7} + 38950081 T^{8} )^{2} \))(\( ( 1 - 2 T - 75 T^{2} - 158 T^{3} + 6241 T^{4} )^{4} \))(\( 1 - 16 T + 274 T^{2} - 3476 T^{3} + 48131 T^{4} - 506768 T^{5} + 5479676 T^{6} - 51684448 T^{7} + 496487797 T^{8} - 4083071392 T^{9} + 34198657916 T^{10} - 249856387952 T^{11} + 1874706348611 T^{12} - 10695848042924 T^{13} + 66605962812754 T^{14} - 307262543778544 T^{15} + 1517108809906561 T^{16} \))(\( 1 - 138 T^{2} + 1500 T^{3} + 4403 T^{4} - 205200 T^{5} + 1430844 T^{6} + 7779600 T^{7} - 206126795 T^{8} + 614588400 T^{9} + 8929897404 T^{10} - 101171602800 T^{11} + 171497206643 T^{12} + 4615584598500 T^{13} - 33546068861898 T^{14} + 1517108809906561 T^{16} \))(\( 1 + 20 T + 224 T^{2} + 1780 T^{3} + 6070 T^{4} + 5760 T^{5} + 875320 T^{6} + 20333540 T^{7} + 305719495 T^{8} + 3198483920 T^{9} + 22059896192 T^{10} + 116979470440 T^{11} + 660067500148 T^{12} + 7893347694940 T^{13} + 139701887310360 T^{14} + 1828379420794980 T^{15} + 18018691485968485 T^{16} + 144441974242803420 T^{17} + 871879478703956760 T^{18} + 3891728254165522660 T^{19} + 25709682596232111988 T^{20} + \)\(35\!\cdots\!60\)\( T^{21} + \)\(53\!\cdots\!32\)\( T^{22} + \)\(61\!\cdots\!80\)\( T^{23} + \)\(46\!\cdots\!95\)\( T^{24} + \)\(24\!\cdots\!60\)\( T^{25} + \)\(82\!\cdots\!20\)\( T^{26} + \)\(43\!\cdots\!40\)\( T^{27} + \)\(35\!\cdots\!70\)\( T^{28} + \)\(83\!\cdots\!20\)\( T^{29} + \)\(82\!\cdots\!44\)\( T^{30} + \)\(58\!\cdots\!80\)\( T^{31} + \)\(23\!\cdots\!21\)\( T^{32} \))(\( ( 1 + 18 T + 30 T^{2} - 1440 T^{3} - 11395 T^{4} + 29514 T^{5} + 920082 T^{6} - 1186800 T^{7} - 91344965 T^{8} - 93757200 T^{9} + 5742231762 T^{10} + 14551553046 T^{11} - 443836172995 T^{12} - 4430961214560 T^{13} + 7292623665630 T^{14} + 345670361750862 T^{15} + 1517108809906561 T^{16} )^{2} \))(\( ( 1 + 152 T^{2} + 16863 T^{4} + 948632 T^{6} + 38950081 T^{8} )^{2} \))(\( ( 1 + 11 T^{2} + 6241 T^{4} )^{2}( 1 + 131 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 + 58 T^{2} - 2877 T^{4} + 361978 T^{6} + 38950081 T^{8} )^{2} \))(\( ( 1 + 11 T^{2} + 6241 T^{4} )^{2}( 1 + 131 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 + 58 T^{2} - 2877 T^{4} + 361978 T^{6} + 38950081 T^{8} )^{2} \))(\( ( 1 + 11 T^{2} + 6241 T^{4} )^{2}( 1 + 131 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 - 38 T^{2} - 4797 T^{4} - 237158 T^{6} + 38950081 T^{8} )^{2} \))(\( 1 + 200 T^{2} + 7464 T^{4} - 683600 T^{6} + 16634510 T^{8} + 10268111400 T^{10} + 468563441536 T^{12} + 2801113391000 T^{14} + 270299704808259 T^{16} + 17481748673231000 T^{18} + 18250584001465964416 T^{20} + \)\(24\!\cdots\!00\)\( T^{22} + \)\(25\!\cdots\!10\)\( T^{24} - \)\(64\!\cdots\!00\)\( T^{26} + \)\(44\!\cdots\!24\)\( T^{28} + \)\(73\!\cdots\!00\)\( T^{30} + \)\(23\!\cdots\!21\)\( T^{32} \))(\( 1 + 18 T + 79 T^{2} - 1386 T^{3} - 24138 T^{4} - 213012 T^{5} - 504217 T^{6} + 16949034 T^{7} + 266385251 T^{8} + 1338973686 T^{9} - 3146818297 T^{10} - 105023223468 T^{11} - 940177055178 T^{12} - 4264800169014 T^{13} + 19203908986159 T^{14} + 345670361750862 T^{15} + 1517108809906561 T^{16} \))(\( ( 1 + 40 T + 754 T^{2} + 8720 T^{3} + 73535 T^{4} + 599640 T^{5} + 5958836 T^{6} + 62841840 T^{7} + 598203469 T^{8} + 4964505360 T^{9} + 37189095476 T^{10} + 295645905960 T^{11} + 2864194206335 T^{12} + 26831931799280 T^{13} + 183287941462834 T^{14} + 768156359446360 T^{15} + 1517108809906561 T^{16} )^{2} \))(\( ( 1 - 20 T + 374 T^{2} - 4460 T^{3} + 40195 T^{4} - 242420 T^{5} + 51916 T^{6} + 14638920 T^{7} - 204250251 T^{8} + 1156474680 T^{9} + 324007756 T^{10} - 119522514380 T^{11} + 1565598505795 T^{12} - 13723671539540 T^{13} + 90914708364854 T^{14} - 384078179723180 T^{15} + 1517108809906561 T^{16} )^{2} \))(\( ( 1 + 40 T + 894 T^{2} + 13520 T^{3} + 148475 T^{4} + 1160440 T^{5} + 5467896 T^{6} - 374560 T^{7} - 192027131 T^{8} - 29590240 T^{9} + 34125138936 T^{10} + 572142177160 T^{11} + 5783113276475 T^{12} + 41601802514480 T^{13} + 217320185235774 T^{14} + 768156359446360 T^{15} + 1517108809906561 T^{16} )^{2} \))
$83$ (\( 1 - 12 T + 83 T^{2} \))(\( 1 + 4 T + 83 T^{2} \))(\( 1 + 9 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 - 4 T + 83 T^{2} \))(\( 1 - 9 T + 83 T^{2} \))(\( 1 - 22 T^{2} + 6889 T^{4} \))(\( 1 - 22 T^{2} + 6889 T^{4} \))(\( 1 - 85 T^{2} + 6889 T^{4} \))(\( 1 - 22 T^{2} + 6889 T^{4} \))(\( 1 + 9 T - 2 T^{2} + 747 T^{3} + 6889 T^{4} \))(\( 1 - 11 T + 38 T^{2} - 913 T^{3} + 6889 T^{4} \))(\( 1 + 9 T - 2 T^{2} + 747 T^{3} + 6889 T^{4} \))(\( 1 - 12 T + 61 T^{2} - 996 T^{3} + 6889 T^{4} \))(\( 1 + 9 T - 2 T^{2} + 747 T^{3} + 6889 T^{4} \))(\( 1 - 9 T - 2 T^{2} - 747 T^{3} + 6889 T^{4} \))(\( 1 + 11 T + 38 T^{2} + 913 T^{3} + 6889 T^{4} \))(\( 1 - 9 T - 2 T^{2} - 747 T^{3} + 6889 T^{4} \))(\( 1 - 12 T + 61 T^{2} - 996 T^{3} + 6889 T^{4} \))(\( 1 - 9 T - 97 T^{2} - 108 T^{3} + 18072 T^{4} - 8964 T^{5} - 668233 T^{6} - 5146083 T^{7} + 47458321 T^{8} \))(\( ( 1 + 4 T - 67 T^{2} + 332 T^{3} + 6889 T^{4} )^{2} \))(\( 1 + 6 T - 133 T^{2} + 18 T^{3} + 18684 T^{4} + 1494 T^{5} - 916237 T^{6} + 3430722 T^{7} + 47458321 T^{8} \))(\( 1 - 6 T - 133 T^{2} - 18 T^{3} + 18684 T^{4} - 1494 T^{5} - 916237 T^{6} - 3430722 T^{7} + 47458321 T^{8} \))(\( ( 1 - 4 T - 67 T^{2} - 332 T^{3} + 6889 T^{4} )^{2} \))(\( 1 - 13294 T^{4} + 47458321 T^{8} \))(\( 1 - 13294 T^{4} + 47458321 T^{8} \))(\( 1 - 13294 T^{4} + 47458321 T^{8} \))(\( 1 - T + 58 T^{2} - 335 T^{3} + 7041 T^{4} - 27805 T^{5} + 399562 T^{6} - 571787 T^{7} + 47458321 T^{8} \))(\( 1 - 6 T - 47 T^{2} + 780 T^{3} - 779 T^{4} + 64740 T^{5} - 323783 T^{6} - 3430722 T^{7} + 47458321 T^{8} \))(\( 1 - 13 T - 19 T^{2} + 951 T^{3} - 6196 T^{4} + 78933 T^{5} - 130891 T^{6} - 7433231 T^{7} + 47458321 T^{8} \))(\( 1 + 11 T - 4 T^{2} + 264 T^{3} + 5188 T^{4} - 21759 T^{5} + 513329 T^{6} + 7685372 T^{7} + 27478708 T^{8} + 637885876 T^{9} + 3536323481 T^{10} - 12441513333 T^{11} + 246213769348 T^{12} + 1039906729752 T^{13} - 1307761493476 T^{14} + 298496560885897 T^{15} + 2252292232139041 T^{16} \))(\( 1 + 27 T + 237 T^{2} + 126 T^{3} - 12774 T^{4} - 113973 T^{5} - 181210 T^{6} + 11072628 T^{7} + 166729299 T^{8} + 919028124 T^{9} - 1248355690 T^{10} - 65168279751 T^{11} - 606232592454 T^{12} + 496319121018 T^{13} + 77484868488453 T^{14} + 732673376719929 T^{15} + 2252292232139041 T^{16} \))(\( 1 + 29 T + 205 T^{2} - 2483 T^{3} - 45111 T^{4} - 9616 T^{5} + 4478376 T^{6} + 25972790 T^{7} - 144493422 T^{8} - 1200220924 T^{9} + 8072175950 T^{10} + 36109733090 T^{11} - 517891517510 T^{12} + 2997107846470 T^{13} + 55609220119550 T^{14} - 686270721471188 T^{15} - 6857415203664462 T^{16} + 102307875422103970 T^{17} + 1464161921526768744 T^{18} - 260940266316253232 T^{19} - \)\(10\!\cdots\!51\)\( T^{20} - \)\(46\!\cdots\!49\)\( T^{21} + \)\(31\!\cdots\!45\)\( T^{22} + \)\(37\!\cdots\!43\)\( T^{23} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 - 29 T + 205 T^{2} + 2483 T^{3} - 45111 T^{4} + 9616 T^{5} + 4478376 T^{6} - 25972790 T^{7} - 144493422 T^{8} + 1200220924 T^{9} + 8072175950 T^{10} - 36109733090 T^{11} - 517891517510 T^{12} - 2997107846470 T^{13} + 55609220119550 T^{14} + 686270721471188 T^{15} - 6857415203664462 T^{16} - 102307875422103970 T^{17} + 1464161921526768744 T^{18} + 260940266316253232 T^{19} - \)\(10\!\cdots\!51\)\( T^{20} + \)\(46\!\cdots\!49\)\( T^{21} + \)\(31\!\cdots\!45\)\( T^{22} - \)\(37\!\cdots\!43\)\( T^{23} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 + 22 T^{2} - 6405 T^{4} + 151558 T^{6} + 47458321 T^{8} \))(\( 1 + 85 T^{2} + 336 T^{4} + 585565 T^{6} + 47458321 T^{8} \))(\( 1 + 85 T^{2} + 336 T^{4} + 585565 T^{6} + 47458321 T^{8} \))(\( 1 + 85 T^{2} + 336 T^{4} + 585565 T^{6} + 47458321 T^{8} \))(\( 1 + 22 T^{2} - 6405 T^{4} + 151558 T^{6} + 47458321 T^{8} \))(\( 1 + 302 T^{2} + 54841 T^{4} + 6820670 T^{6} + 646505092 T^{8} + 46987595630 T^{10} + 2602661781961 T^{12} + 98735992757438 T^{14} + 2252292232139041 T^{16} \))(\( 1 + 275 T^{2} + 43609 T^{4} + 5015450 T^{6} + 456585310 T^{8} + 34551435050 T^{10} + 2069609920489 T^{12} + 89908602676475 T^{14} + 2252292232139041 T^{16} \))(\( 1 + 70 T + 2432 T^{2} + 56730 T^{3} + 1010935 T^{4} + 14768130 T^{5} + 184247072 T^{6} + 2010015520 T^{7} + 19419043189 T^{8} + 166831288160 T^{9} + 1269278079008 T^{10} + 8444224748310 T^{11} + 47977277740135 T^{12} + 223461775677390 T^{13} + 795118988033408 T^{14} + 1899523569273890 T^{15} + 2252292232139041 T^{16} \))(\( 1 + 50 T + 1335 T^{2} + 23750 T^{3} + 305836 T^{4} + 2886800 T^{5} + 19447445 T^{6} + 89310250 T^{7} + 442867371 T^{8} + 7412750750 T^{9} + 133973448605 T^{10} + 1650634711600 T^{11} + 14514463061356 T^{12} + 93552215271250 T^{13} + 436465398447615 T^{14} + 1356802549481350 T^{15} + 2252292232139041 T^{16} \))(\( 1 - 30 T + 535 T^{2} - 5780 T^{3} + 43882 T^{4} - 205010 T^{5} + 590510 T^{6} - 2468290 T^{7} + 123659138 T^{8} - 2415976440 T^{9} + 27231081235 T^{10} - 158815212750 T^{11} + 405339323209 T^{12} - 3244201552980 T^{13} + 126271405899100 T^{14} - 2149314211865960 T^{15} + 23236430083058540 T^{16} - 178393079584874680 T^{17} + 869883715238899900 T^{18} - 1854992273373775260 T^{19} + 19236723714775472089 T^{20} - \)\(62\!\cdots\!50\)\( T^{21} + \)\(89\!\cdots\!15\)\( T^{22} - \)\(65\!\cdots\!80\)\( T^{23} + \)\(27\!\cdots\!58\)\( T^{24} - \)\(46\!\cdots\!70\)\( T^{25} + \)\(91\!\cdots\!90\)\( T^{26} - \)\(26\!\cdots\!70\)\( T^{27} + \)\(46\!\cdots\!02\)\( T^{28} - \)\(51\!\cdots\!40\)\( T^{29} + \)\(39\!\cdots\!15\)\( T^{30} - \)\(18\!\cdots\!10\)\( T^{31} + \)\(50\!\cdots\!81\)\( T^{32} \))(\( 1 + 269 T^{2} + 25224 T^{4} + 550144 T^{6} - 77992844 T^{8} - 7340856293 T^{10} - 150970152289 T^{12} + 37124680615772 T^{14} + 5186035445336672 T^{16} + 255751924762053308 T^{18} - 7164789948750246769 T^{20} - \)\(24\!\cdots\!17\)\( T^{22} - \)\(17\!\cdots\!04\)\( T^{24} + \)\(85\!\cdots\!56\)\( T^{26} + \)\(26\!\cdots\!64\)\( T^{28} + \)\(19\!\cdots\!01\)\( T^{30} + \)\(50\!\cdots\!81\)\( T^{32} \))(\( 1 + 12 T + 72 T^{2} + 288 T^{3} - 8375 T^{4} - 56640 T^{5} - 35208 T^{6} + 3433884 T^{7} + 82789344 T^{8} + 285012372 T^{9} - 242547912 T^{10} - 32386015680 T^{11} - 397463438375 T^{12} + 1134443705184 T^{13} + 23539706882568 T^{14} + 325632611875524 T^{15} + 2252292232139041 T^{16} \))(\( 1 + 6553 T^{4} - 4516512 T^{8} + 310994377513 T^{12} + 2252292232139041 T^{16} \))(\( 1 + 432 T^{2} + 91513 T^{4} + 12659760 T^{6} + 1239875616 T^{8} + 87213086640 T^{10} + 4343053329673 T^{12} + 141238241295408 T^{14} + 2252292232139041 T^{16} \))(\( 1 - 10871 T^{4} + 70720320 T^{8} - 515919407591 T^{12} + 2252292232139041 T^{16} \))(\( 1 - 432 T^{2} + 91513 T^{4} - 12659760 T^{6} + 1239875616 T^{8} - 87213086640 T^{10} + 4343053329673 T^{12} - 141238241295408 T^{14} + 2252292232139041 T^{16} \))(\( 1 + 13294 T^{4} + 129272115 T^{8} + 630910919374 T^{12} + 2252292232139041 T^{16} \))(\( 1 + 6553 T^{4} - 4516512 T^{8} + 310994377513 T^{12} + 2252292232139041 T^{16} \))(\( 1 + 48 T + 1152 T^{2} + 18432 T^{3} + 215516 T^{4} + 1906416 T^{5} + 13102848 T^{6} + 74216976 T^{7} + 433250986 T^{8} + 3712707360 T^{9} + 40409712000 T^{10} + 415323735120 T^{11} + 3731885962352 T^{12} + 29403431286576 T^{13} + 213762329771904 T^{14} + 1567513821393504 T^{15} + 12987012407281267 T^{16} + 130103647175660832 T^{17} + 1472608689798646656 T^{18} + 16812499765057431312 T^{19} + \)\(17\!\cdots\!92\)\( T^{20} + \)\(16\!\cdots\!60\)\( T^{21} + \)\(13\!\cdots\!00\)\( T^{22} + \)\(10\!\cdots\!20\)\( T^{23} + \)\(97\!\cdots\!26\)\( T^{24} + \)\(13\!\cdots\!28\)\( T^{25} + \)\(20\!\cdots\!52\)\( T^{26} + \)\(24\!\cdots\!72\)\( T^{27} + \)\(23\!\cdots\!76\)\( T^{28} + \)\(16\!\cdots\!16\)\( T^{29} + \)\(84\!\cdots\!08\)\( T^{30} + \)\(29\!\cdots\!36\)\( T^{31} + \)\(50\!\cdots\!81\)\( T^{32} \))(\( 1 - 4 T - 67 T^{2} + 768 T^{3} - 6122 T^{4} - 4812 T^{5} + 366161 T^{6} - 2942446 T^{7} + 15150763 T^{8} - 244223018 T^{9} + 2522483129 T^{10} - 2751439044 T^{11} - 290539841162 T^{12} + 3025183213824 T^{13} - 21905005015723 T^{14} - 108544203958508 T^{15} + 2252292232139041 T^{16} \))(\( 1 - 580 T^{2} + 154859 T^{4} - 25466920 T^{6} + 2998408675 T^{8} - 294341024800 T^{10} + 28088706305641 T^{12} - 2695917785643540 T^{14} + 238862494458062304 T^{16} - 18572177625298347060 T^{18} + \)\(13\!\cdots\!61\)\( T^{20} - \)\(96\!\cdots\!00\)\( T^{22} + \)\(67\!\cdots\!75\)\( T^{24} - \)\(39\!\cdots\!80\)\( T^{26} + \)\(16\!\cdots\!99\)\( T^{28} - \)\(42\!\cdots\!20\)\( T^{30} + \)\(50\!\cdots\!81\)\( T^{32} \))(\( 1 + 160 T^{2} - 7746 T^{4} - 3638160 T^{6} - 152423245 T^{8} + 34631145600 T^{10} + 3619940373276 T^{12} - 118847176843360 T^{14} - 34464352785192731 T^{16} - 818738201273907040 T^{18} + \)\(17\!\cdots\!96\)\( T^{20} + \)\(11\!\cdots\!00\)\( T^{22} - \)\(34\!\cdots\!45\)\( T^{24} - \)\(56\!\cdots\!40\)\( T^{26} - \)\(82\!\cdots\!06\)\( T^{28} + \)\(11\!\cdots\!40\)\( T^{30} + \)\(50\!\cdots\!81\)\( T^{32} \))(\( 1 + 340 T^{2} + 53954 T^{4} + 5481400 T^{6} + 427618795 T^{8} + 29631942460 T^{10} + 1725376515256 T^{12} + 63935663086800 T^{14} + 1996749530688069 T^{16} + 440452783004965200 T^{18} + 81883472506880645176 T^{20} + \)\(96\!\cdots\!40\)\( T^{22} + \)\(96\!\cdots\!95\)\( T^{24} + \)\(85\!\cdots\!00\)\( T^{26} + \)\(57\!\cdots\!94\)\( T^{28} + \)\(25\!\cdots\!60\)\( T^{30} + \)\(50\!\cdots\!81\)\( T^{32} \))
$89$ (\( 1 + 12 T + 89 T^{2} \))(\( 1 - 10 T + 89 T^{2} \))(\( 1 + 15 T + 89 T^{2} \))(\( 1 + 18 T + 89 T^{2} \))(\( 1 - 12 T + 89 T^{2} \))(\( 1 - 10 T + 89 T^{2} \))(\( 1 + 15 T + 89 T^{2} \))(\( ( 1 - 12 T + 89 T^{2} )^{2} \))(\( ( 1 - 18 T + 89 T^{2} )^{2} \))(\( ( 1 - 15 T + 89 T^{2} )^{2} \))(\( ( 1 + 12 T + 89 T^{2} )^{2} \))(\( ( 1 + 9 T + 89 T^{2} )^{2} \))(\( ( 1 - T + 89 T^{2} )^{2} \))(\( ( 1 - 15 T + 89 T^{2} )^{2} \))(\( ( 1 - 6 T + 89 T^{2} )^{2} \))(\( ( 1 - 9 T + 89 T^{2} )^{2} \))(\( ( 1 - 15 T + 89 T^{2} )^{2} \))(\( ( 1 - T + 89 T^{2} )^{2} \))(\( ( 1 + 9 T + 89 T^{2} )^{2} \))(\( ( 1 - 6 T + 89 T^{2} )^{2} \))(\( ( 1 - 15 T + 160 T^{2} - 1335 T^{3} + 7921 T^{4} )^{2} \))(\( ( 1 - 16 T + 218 T^{2} - 1424 T^{3} + 7921 T^{4} )^{2} \))(\( ( 1 + 9 T + 89 T^{2} )^{4} \))(\( ( 1 + 9 T + 89 T^{2} )^{4} \))(\( ( 1 - 16 T + 218 T^{2} - 1424 T^{3} + 7921 T^{4} )^{2} \))(\( ( 1 + 160 T^{2} + 7921 T^{4} )^{2} \))(\( ( 1 + 80 T^{2} + 7921 T^{4} )^{2} \))(\( ( 1 + 160 T^{2} + 7921 T^{4} )^{2} \))(\( 1 + 10 T - 29 T^{2} + 200 T^{3} + 10101 T^{4} + 17800 T^{5} - 229709 T^{6} + 7049690 T^{7} + 62742241 T^{8} \))(\( 1 - 5 T - 79 T^{2} + 445 T^{3} + 5276 T^{4} + 39605 T^{5} - 625759 T^{6} - 3524845 T^{7} + 62742241 T^{8} \))(\( 1 + 2 T + 35 T^{2} + 632 T^{3} + 8789 T^{4} + 56248 T^{5} + 277235 T^{6} + 1409938 T^{7} + 62742241 T^{8} \))(\( 1 + 9 T - 166 T^{2} - 1356 T^{3} + 12786 T^{4} + 119727 T^{5} + 426031 T^{6} - 2824668 T^{7} - 98110168 T^{8} - 251395452 T^{9} + 3374591551 T^{10} + 84403823463 T^{11} + 802222293426 T^{12} - 7571984612844 T^{13} - 82498894299526 T^{14} + 398082014059761 T^{15} + 3936588805702081 T^{16} \))(\( 1 - 15 T - 108 T^{2} + 1640 T^{3} + 7368 T^{4} - 158465 T^{5} + 2297399 T^{6} - 297300 T^{7} - 272740720 T^{8} - 26459700 T^{9} + 18197697479 T^{10} - 111712912585 T^{11} + 462284831688 T^{12} + 9157857496360 T^{13} - 53673979423788 T^{14} - 663470023432935 T^{15} + 3936588805702081 T^{16} \))(\( 1 - 62 T + 1666 T^{2} - 25854 T^{3} + 274609 T^{4} - 2573150 T^{5} + 27410848 T^{6} - 292619604 T^{7} + 2355071920 T^{8} - 12032738534 T^{9} + 54718570046 T^{10} - 770989409628 T^{11} + 10095165651756 T^{12} - 68618057456892 T^{13} + 433425793334366 T^{14} - 8482707651575446 T^{15} + 147762489976972720 T^{16} - 1634005264678838196 T^{17} + 13622678625375744928 T^{18} - \)\(11\!\cdots\!50\)\( T^{19} + \)\(10\!\cdots\!29\)\( T^{20} - \)\(90\!\cdots\!86\)\( T^{21} + \)\(51\!\cdots\!66\)\( T^{22} - \)\(17\!\cdots\!18\)\( T^{23} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 + 62 T + 1666 T^{2} + 25854 T^{3} + 274609 T^{4} + 2573150 T^{5} + 27410848 T^{6} + 292619604 T^{7} + 2355071920 T^{8} + 12032738534 T^{9} + 54718570046 T^{10} + 770989409628 T^{11} + 10095165651756 T^{12} + 68618057456892 T^{13} + 433425793334366 T^{14} + 8482707651575446 T^{15} + 147762489976972720 T^{16} + 1634005264678838196 T^{17} + 13622678625375744928 T^{18} + \)\(11\!\cdots\!50\)\( T^{19} + \)\(10\!\cdots\!29\)\( T^{20} + \)\(90\!\cdots\!86\)\( T^{21} + \)\(51\!\cdots\!66\)\( T^{22} + \)\(17\!\cdots\!18\)\( T^{23} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( ( 1 + 6 T + 89 T^{2} )^{4} \))(\( ( 1 + 15 T + 89 T^{2} )^{4} \))(\( ( 1 + 9 T + 89 T^{2} )^{4} \))(\( ( 1 - 9 T + 89 T^{2} )^{4} \))(\( ( 1 + 6 T + 89 T^{2} )^{4} \))(\( ( 1 - 9 T + 89 T^{2} )^{8} \))(\( ( 1 + 15 T + 160 T^{2} + 1335 T^{3} + 7921 T^{4} )^{4} \))(\( 1 - 34 T + 409 T^{2} - 1014 T^{3} - 27449 T^{4} + 344318 T^{5} - 919769 T^{6} - 22713862 T^{7} + 350578752 T^{8} - 2021533718 T^{9} - 7285490249 T^{10} + 242733516142 T^{11} - 1722211773209 T^{12} - 5662236281286 T^{13} + 203265348003049 T^{14} - 1503865386447986 T^{15} + 3936588805702081 T^{16} \))(\( ( 1 + 10 T + 71 T^{2} + 1290 T^{3} + 19001 T^{4} + 114810 T^{5} + 562391 T^{6} + 7049690 T^{7} + 62742241 T^{8} )^{2} \))(\( 1 + 70 T + 2119 T^{2} + 35330 T^{3} + 343460 T^{4} + 2032360 T^{5} + 10870620 T^{6} + 64684440 T^{7} - 584089940 T^{8} - 17002587830 T^{9} - 99745085123 T^{10} + 366225143690 T^{11} + 5693869232523 T^{12} + 24776539056740 T^{13} + 308063609313680 T^{14} + 3148141734399680 T^{15} + 20769024208268760 T^{16} + 280184614361571520 T^{17} + 2440171849373659280 T^{18} + 17466691962290941060 T^{19} + \)\(35\!\cdots\!43\)\( T^{20} + \)\(20\!\cdots\!10\)\( T^{21} - \)\(49\!\cdots\!03\)\( T^{22} - \)\(75\!\cdots\!70\)\( T^{23} - \)\(22\!\cdots\!40\)\( T^{24} + \)\(22\!\cdots\!60\)\( T^{25} + \)\(33\!\cdots\!20\)\( T^{26} + \)\(56\!\cdots\!40\)\( T^{27} + \)\(84\!\cdots\!60\)\( T^{28} + \)\(77\!\cdots\!70\)\( T^{29} + \)\(41\!\cdots\!79\)\( T^{30} + \)\(12\!\cdots\!30\)\( T^{31} + \)\(15\!\cdots\!61\)\( T^{32} \))(\( 1 + 117 T^{2} + 37096 T^{4} + 2404428 T^{6} + 479330076 T^{8} + 8822390031 T^{10} + 2916006253619 T^{12} - 127003185538956 T^{14} + 15092894209169912 T^{16} - 1005992232654070476 T^{18} + \)\(18\!\cdots\!79\)\( T^{20} + \)\(43\!\cdots\!91\)\( T^{22} + \)\(18\!\cdots\!56\)\( T^{24} + \)\(74\!\cdots\!28\)\( T^{26} + \)\(91\!\cdots\!16\)\( T^{28} + \)\(22\!\cdots\!97\)\( T^{30} + \)\(15\!\cdots\!61\)\( T^{32} \))(\( ( 1 + 286 T^{2} + 35427 T^{4} + 2265406 T^{6} + 62742241 T^{8} )^{2} \))(\( ( 1 + 175 T^{2} + 7921 T^{4} )^{4} \))(\( ( 1 + 103 T^{2} + 7921 T^{4} )^{4} \))(\( ( 1 + 175 T^{2} + 7921 T^{4} )^{4} \))(\( ( 1 + 103 T^{2} + 7921 T^{4} )^{4} \))(\( ( 1 + 130 T^{2} + 7921 T^{4} )^{4} \))(\( ( 1 + 31 T^{2} + 7921 T^{4} )^{4} \))(\( ( 1 + 328 T^{2} + 42642 T^{4} + 2598088 T^{6} + 62742241 T^{8} )^{4} \))(\( ( 1 + 15 T + 46 T^{2} + 675 T^{3} + 13951 T^{4} + 60075 T^{5} + 364366 T^{6} + 10574535 T^{7} + 62742241 T^{8} )^{2} \))(\( 1 - 240 T^{2} + 32478 T^{4} - 4754580 T^{6} + 555843243 T^{8} - 53178194640 T^{10} + 6042964371256 T^{12} - 599802308936400 T^{14} + 50437204132510005 T^{16} - 4751034089085224400 T^{18} + \)\(37\!\cdots\!96\)\( T^{20} - \)\(26\!\cdots\!40\)\( T^{22} + \)\(21\!\cdots\!83\)\( T^{24} - \)\(14\!\cdots\!80\)\( T^{26} + \)\(80\!\cdots\!38\)\( T^{28} - \)\(46\!\cdots\!40\)\( T^{30} + \)\(15\!\cdots\!61\)\( T^{32} \))(\( 1 - 600 T^{2} + 154563 T^{4} - 21157800 T^{6} + 1408818603 T^{8} - 669069000 T^{10} - 5363516517119 T^{12} - 36180201070200 T^{14} + 43436587980306480 T^{16} - 286583372677054200 T^{18} - \)\(33\!\cdots\!79\)\( T^{20} - \)\(33\!\cdots\!00\)\( T^{22} + \)\(55\!\cdots\!43\)\( T^{24} - \)\(65\!\cdots\!00\)\( T^{26} + \)\(38\!\cdots\!23\)\( T^{28} - \)\(11\!\cdots\!00\)\( T^{30} + \)\(15\!\cdots\!61\)\( T^{32} \))(\( 1 - 60 T^{2} - 16237 T^{4} - 66640 T^{6} + 103862803 T^{8} + 6521221240 T^{10} + 1202926888881 T^{12} - 51335664417900 T^{14} - 17826607103823520 T^{16} - 406629797854185900 T^{18} + 75474328767551922321 T^{20} + \)\(32\!\cdots\!40\)\( T^{22} + \)\(40\!\cdots\!43\)\( T^{24} - \)\(20\!\cdots\!40\)\( T^{26} - \)\(40\!\cdots\!77\)\( T^{28} - \)\(11\!\cdots\!60\)\( T^{30} + \)\(15\!\cdots\!61\)\( T^{32} \))
$97$ (\( 1 + 2 T + 97 T^{2} \))(\( 1 - 8 T + 97 T^{2} \))(\( 1 + 2 T + 97 T^{2} \))(\( 1 + 2 T + 97 T^{2} \))(\( 1 + 2 T + 97 T^{2} \))(\( 1 + 8 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 - 190 T^{2} + 9409 T^{4} \))(\( 1 - 190 T^{2} + 9409 T^{4} \))(\( 1 - 190 T^{2} + 9409 T^{4} \))(\( 1 - 190 T^{2} + 9409 T^{4} \))(\( 1 + 7 T - 48 T^{2} + 679 T^{3} + 9409 T^{4} \))(\( 1 - 8 T - 33 T^{2} - 776 T^{3} + 9409 T^{4} \))(\( 1 + 17 T + 192 T^{2} + 1649 T^{3} + 9409 T^{4} \))(\( 1 - 11 T + 24 T^{2} - 1067 T^{3} + 9409 T^{4} \))(\( 1 - 2 T - 93 T^{2} - 194 T^{3} + 9409 T^{4} \))(\( 1 - 17 T + 192 T^{2} - 1649 T^{3} + 9409 T^{4} \))(\( 1 + 8 T - 33 T^{2} + 776 T^{3} + 9409 T^{4} \))(\( 1 - 7 T - 48 T^{2} - 679 T^{3} + 9409 T^{4} \))(\( ( 1 - 19 T + 97 T^{2} )( 1 + 14 T + 97 T^{2} ) \))(\( 1 + 11 T - 95 T^{2} + 242 T^{3} + 25510 T^{4} + 23474 T^{5} - 893855 T^{6} + 10039403 T^{7} + 88529281 T^{8} \))(\( ( 1 - 13 T + 72 T^{2} - 1261 T^{3} + 9409 T^{4} )^{2} \))(\( 1 + 2 T - 95 T^{2} - 190 T^{3} + 4 T^{4} - 18430 T^{5} - 893855 T^{6} + 1825346 T^{7} + 88529281 T^{8} \))(\( 1 - 2 T - 95 T^{2} + 190 T^{3} + 4 T^{4} + 18430 T^{5} - 893855 T^{6} - 1825346 T^{7} + 88529281 T^{8} \))(\( ( 1 + 13 T + 72 T^{2} + 1261 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 - 24 T + 288 T^{2} - 2328 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 - 6 T + 18 T^{2} - 582 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 + 24 T + 288 T^{2} + 2328 T^{3} + 9409 T^{4} )^{2} \))(\( 1 + 22 T + 207 T^{2} + 2420 T^{3} + 31541 T^{4} + 234740 T^{5} + 1947663 T^{6} + 20078806 T^{7} + 88529281 T^{8} \))(\( 1 - 18 T + 47 T^{2} + 1740 T^{3} - 27059 T^{4} + 168780 T^{5} + 442223 T^{6} - 16428114 T^{7} + 88529281 T^{8} \))(\( 1 - 7 T - 73 T^{2} + 835 T^{3} + 1816 T^{4} + 80995 T^{5} - 686857 T^{6} - 6388711 T^{7} + 88529281 T^{8} \))(\( 1 - T + 28 T^{2} - 632 T^{3} + 5996 T^{4} - 78691 T^{5} + 707075 T^{6} - 3586376 T^{7} + 72919024 T^{8} - 347878472 T^{9} + 6652868675 T^{10} - 71819151043 T^{11} + 530821568876 T^{12} - 5427199042424 T^{13} + 23323216138012 T^{14} - 80798284478113 T^{15} + 7837433594376961 T^{16} \))(\( ( 1 + 18 T + 27 T^{2} - 1060 T^{3} - 9699 T^{4} - 102820 T^{5} + 254043 T^{6} + 16428114 T^{7} + 88529281 T^{8} )^{2} \))(\( 1 - 23 T - 3 T^{2} + 2745 T^{3} - 783 T^{4} - 170628 T^{5} - 91460 T^{6} - 6181364 T^{7} + 190100268 T^{8} - 1739567428 T^{9} + 18395502870 T^{10} + 51462799126 T^{11} - 2827976867282 T^{12} + 4991891515222 T^{13} + 173083286503830 T^{14} - 1587656223215044 T^{15} + 16829440043947308 T^{16} - 53081475920370548 T^{17} - 76183619570806340 T^{18} - 13786449683931464964 T^{19} - 6136710504397160463 T^{20} + \)\(20\!\cdots\!65\)\( T^{21} - \)\(22\!\cdots\!47\)\( T^{22} - \)\(16\!\cdots\!19\)\( T^{23} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 - 23 T - 3 T^{2} + 2745 T^{3} - 783 T^{4} - 170628 T^{5} - 91460 T^{6} - 6181364 T^{7} + 190100268 T^{8} - 1739567428 T^{9} + 18395502870 T^{10} + 51462799126 T^{11} - 2827976867282 T^{12} + 4991891515222 T^{13} + 173083286503830 T^{14} - 1587656223215044 T^{15} + 16829440043947308 T^{16} - 53081475920370548 T^{17} - 76183619570806340 T^{18} - 13786449683931464964 T^{19} - 6136710504397160463 T^{20} + \)\(20\!\cdots\!65\)\( T^{21} - \)\(22\!\cdots\!47\)\( T^{22} - \)\(16\!\cdots\!19\)\( T^{23} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 + 73 T^{2} - 4080 T^{4} + 686857 T^{6} + 88529281 T^{8} \))(\( 1 - 95 T^{2} - 384 T^{4} - 893855 T^{6} + 88529281 T^{8} \))(\( 1 + 190 T^{2} + 26691 T^{4} + 1787710 T^{6} + 88529281 T^{8} \))(\( 1 + 145 T^{2} + 11616 T^{4} + 1364305 T^{6} + 88529281 T^{8} \))(\( ( 1 + 2 T^{2} + 9409 T^{4} )( 1 + 167 T^{2} + 9409 T^{4} ) \))(\( 1 + 194 T^{2} + 9793 T^{4} + 1750850 T^{6} + 332586244 T^{8} + 16473747650 T^{10} + 866967248833 T^{12} + 161596568956226 T^{14} + 7837433594376961 T^{16} \))(\( 1 + 311 T^{2} + 54721 T^{4} + 7209602 T^{6} + 765422830 T^{8} + 67835145218 T^{10} + 4844410785601 T^{12} + 259054293532919 T^{14} + 7837433594376961 T^{16} \))(\( 1 - 60 T + 1990 T^{2} - 47940 T^{3} + 920391 T^{4} - 14754060 T^{5} + 202723580 T^{6} - 2424996600 T^{7} + 25463108381 T^{8} - 235224670200 T^{9} + 1907426164220 T^{10} - 13465632202380 T^{11} + 81481553468871 T^{12} - 411677091920580 T^{13} + 1657614289808710 T^{14} - 4847897068686780 T^{15} + 7837433594376961 T^{16} \))(\( 1 + 20 T + 270 T^{2} + 3780 T^{3} + 51031 T^{4} + 591220 T^{5} + 6636980 T^{6} + 69655800 T^{7} + 673071701 T^{8} + 6756612600 T^{9} + 62447344820 T^{10} + 539590531060 T^{11} + 4517737738711 T^{12} + 32460146171460 T^{13} + 224902441330830 T^{14} + 1615965689562260 T^{15} + 7837433594376961 T^{16} \))(\( 1 + 10 T + 205 T^{2} + 4320 T^{3} + 44952 T^{4} + 667870 T^{5} + 8897460 T^{6} + 68756910 T^{7} + 834554408 T^{8} + 7477618800 T^{9} + 22708693755 T^{10} + 118605463990 T^{11} - 2491804851081 T^{12} - 84263627884560 T^{13} - 895266623177600 T^{14} - 11056342779615180 T^{15} - 138673183182585960 T^{16} - 1072465249622672460 T^{17} - 8423563657478038400 T^{18} - 76905138052285028880 T^{19} - \)\(22\!\cdots\!61\)\( T^{20} + \)\(10\!\cdots\!30\)\( T^{21} + \)\(18\!\cdots\!95\)\( T^{22} + \)\(60\!\cdots\!00\)\( T^{23} + \)\(65\!\cdots\!88\)\( T^{24} + \)\(52\!\cdots\!70\)\( T^{25} + \)\(65\!\cdots\!40\)\( T^{26} + \)\(47\!\cdots\!10\)\( T^{27} + \)\(31\!\cdots\!32\)\( T^{28} + \)\(29\!\cdots\!40\)\( T^{29} + \)\(13\!\cdots\!45\)\( T^{30} + \)\(63\!\cdots\!30\)\( T^{31} + \)\(61\!\cdots\!21\)\( T^{32} \))(\( ( 1 + 35 T + 600 T^{2} + 7860 T^{3} + 99976 T^{4} + 1207285 T^{5} + 13936775 T^{6} + 160561200 T^{7} + 1706485496 T^{8} + 15574436400 T^{9} + 131131115975 T^{10} + 1101856422805 T^{11} + 8850803397256 T^{12} + 67496494420020 T^{13} + 499783202957400 T^{14} + 2827939956733955 T^{15} + 7837433594376961 T^{16} )^{2} \))(\( 1 + 12 T + 72 T^{2} - 744 T^{3} - 12542 T^{4} - 57996 T^{5} + 483840 T^{6} + 14345892 T^{7} + 128096019 T^{8} + 1391551524 T^{9} + 4552450560 T^{10} - 52931383308 T^{11} - 1110334242302 T^{12} - 6388981151208 T^{13} + 59973984354888 T^{14} + 969579413737356 T^{15} + 7837433594376961 T^{16} \))(\( 1 + 16417 T^{4} + 180988608 T^{8} + 1453385206177 T^{12} + 7837433594376961 T^{16} \))(\( 1 - 360 T^{2} + 65929 T^{4} - 8182440 T^{6} + 834546960 T^{8} - 76988577960 T^{10} + 5836646967049 T^{12} - 299869921774440 T^{14} + 7837433594376961 T^{16} \))(\( 1 - 2498 T^{4} - 82289277 T^{8} - 221146143938 T^{12} + 7837433594376961 T^{16} \))(\( 1 + 360 T^{2} + 65929 T^{4} + 8182440 T^{6} + 834546960 T^{8} + 76988577960 T^{10} + 5836646967049 T^{12} + 299869921774440 T^{14} + 7837433594376961 T^{16} \))(\( 1 + 4657 T^{4} - 66841632 T^{8} + 412280861617 T^{12} + 7837433594376961 T^{16} \))(\( ( 1 - 18814 T^{4} + 88529281 T^{8} )( 1 + 9743 T^{4} + 88529281 T^{8} ) \))(\( 1 - 48 T + 1152 T^{2} - 15456 T^{3} + 79442 T^{4} + 1258944 T^{5} - 32502528 T^{6} + 320382528 T^{7} - 602207375 T^{8} - 26997703632 T^{9} + 412336144512 T^{10} - 2856970349424 T^{11} + 3870433274354 T^{12} + 127396070447952 T^{13} - 1412601730375680 T^{14} + 7780535897090304 T^{15} - 41112146089827164 T^{16} + 754711982017759488 T^{17} - 13291169681104773120 T^{18} + \)\(11\!\cdots\!96\)\( T^{19} + \)\(34\!\cdots\!74\)\( T^{20} - \)\(24\!\cdots\!68\)\( T^{21} + \)\(34\!\cdots\!48\)\( T^{22} - \)\(21\!\cdots\!16\)\( T^{23} - \)\(47\!\cdots\!75\)\( T^{24} + \)\(24\!\cdots\!76\)\( T^{25} - \)\(23\!\cdots\!72\)\( T^{26} + \)\(90\!\cdots\!32\)\( T^{27} + \)\(55\!\cdots\!22\)\( T^{28} - \)\(10\!\cdots\!12\)\( T^{29} + \)\(75\!\cdots\!88\)\( T^{30} - \)\(30\!\cdots\!64\)\( T^{31} + \)\(61\!\cdots\!21\)\( T^{32} \))(\( 1 + 8 T + 97 T^{2} - 1424 T^{3} - 17872 T^{4} - 192016 T^{5} - 262081 T^{6} + 16836748 T^{7} + 190506703 T^{8} + 1633164556 T^{9} - 2465920129 T^{10} - 175247818768 T^{11} - 1582195310032 T^{12} - 12228372525968 T^{13} + 80798284478113 T^{14} + 646386275824904 T^{15} + 7837433594376961 T^{16} \))(\( ( 1 + 16 T + 3 T^{2} - 468 T^{3} + 7911 T^{4} + 125516 T^{5} + 616505 T^{6} + 7844856 T^{7} + 144464824 T^{8} + 760951032 T^{9} + 5800695545 T^{10} + 114555064268 T^{11} + 700355141991 T^{12} - 4018875240276 T^{13} + 2498916014787 T^{14} + 1292772551649808 T^{15} + 7837433594376961 T^{16} )^{2} \))(\( ( 1 - 6 T + 18 T^{2} + 2058 T^{3} - 18589 T^{4} + 120954 T^{5} + 752400 T^{6} - 15236496 T^{7} + 198707569 T^{8} - 1477940112 T^{9} + 7079331600 T^{10} + 110391450042 T^{11} - 1645670804509 T^{12} + 17672746248906 T^{13} + 14993496088722 T^{14} - 484789706868678 T^{15} + 7837433594376961 T^{16} )^{2} \))(\( ( 1 + 6 T + 198 T^{2} + 1602 T^{3} + 24431 T^{4} + 29166 T^{5} + 1810440 T^{6} - 6211824 T^{7} + 51901729 T^{8} - 602546928 T^{9} + 17034429960 T^{10} + 26619020718 T^{11} + 2162858864111 T^{12} + 13756919091714 T^{13} + 164928456975942 T^{14} + 484789706868678 T^{15} + 7837433594376961 T^{16} )^{2} \))
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