Properties

Label 600.2
Level 600
Weight 2
Dimension 3651
Nonzero newspaces 18
Newform subspaces 81
Sturm bound 38400
Trace bound 8

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Defining parameters

Level: \( N \) = \( 600\( 600 = 2^{3} \cdot 3 \cdot 5^{2} \) \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 18 \)
Newform subspaces: \( 81 \)
Sturm bound: \(38400\)
Trace bound: \(8\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(600))\).

Total New Old
Modular forms 10272 3815 6457
Cusp forms 8929 3651 5278
Eisenstein series 1343 164 1179

Trace form

\( 3651q - 2q^{2} - 15q^{3} - 28q^{4} - 2q^{5} - 18q^{6} - 44q^{7} + 4q^{8} - 31q^{9} + O(q^{10}) \) \( 3651q - 2q^{2} - 15q^{3} - 28q^{4} - 2q^{5} - 18q^{6} - 44q^{7} + 4q^{8} - 31q^{9} - 32q^{10} - 12q^{11} + 20q^{12} - 10q^{13} + 52q^{14} - 8q^{15} + 24q^{16} + 6q^{17} + 38q^{18} + 40q^{19} + 40q^{20} + 32q^{21} + 48q^{22} + 48q^{23} + 32q^{24} - 58q^{25} + 56q^{26} + 45q^{27} - 40q^{28} + 30q^{29} - 12q^{30} + 36q^{31} - 72q^{32} + 28q^{33} - 132q^{34} + 48q^{35} - 32q^{36} + 72q^{37} - 104q^{38} + 78q^{39} - 112q^{40} + 46q^{41} - 96q^{42} + 136q^{43} - 112q^{44} + 70q^{45} - 176q^{46} + 120q^{47} - 140q^{48} + 55q^{49} - 40q^{50} - 62q^{51} - 72q^{52} + 64q^{53} - 110q^{54} + 64q^{55} - 8q^{56} + 16q^{57} - 36q^{58} + 20q^{59} - 92q^{60} - 50q^{61} - 4q^{62} - 120q^{63} - 88q^{64} + 6q^{65} - 188q^{66} - 160q^{67} - 112q^{68} - 24q^{69} - 104q^{70} - 128q^{71} - 200q^{72} + 74q^{73} - 160q^{74} - 88q^{75} - 232q^{76} - 188q^{78} - 204q^{79} - 80q^{80} + 57q^{81} - 348q^{82} - 268q^{83} - 300q^{84} - 82q^{85} - 184q^{86} - 206q^{87} - 472q^{88} + 128q^{89} - 172q^{90} - 184q^{91} - 384q^{92} - 32q^{93} - 496q^{94} - 256q^{95} - 84q^{96} - 86q^{97} - 378q^{98} - 180q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(600))\)

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
600.2.a \(\chi_{600}(1, \cdot)\) 600.2.a.a 1 1
600.2.a.b 1
600.2.a.c 1
600.2.a.d 1
600.2.a.e 1
600.2.a.f 1
600.2.a.g 1
600.2.a.h 1
600.2.a.i 1
600.2.b \(\chi_{600}(251, \cdot)\) 600.2.b.a 2 1
600.2.b.b 4
600.2.b.c 4
600.2.b.d 4
600.2.b.e 8
600.2.b.f 8
600.2.b.g 12
600.2.b.h 12
600.2.b.i 16
600.2.d \(\chi_{600}(349, \cdot)\) 600.2.d.a 2 1
600.2.d.b 2
600.2.d.c 2
600.2.d.d 2
600.2.d.e 6
600.2.d.f 6
600.2.d.g 8
600.2.d.h 8
600.2.f \(\chi_{600}(49, \cdot)\) 600.2.f.a 2 1
600.2.f.b 2
600.2.f.c 2
600.2.f.d 2
600.2.f.e 2
600.2.h \(\chi_{600}(551, \cdot)\) None 0 1
600.2.k \(\chi_{600}(301, \cdot)\) 600.2.k.a 2 1
600.2.k.b 2
600.2.k.c 6
600.2.k.d 8
600.2.k.e 8
600.2.k.f 12
600.2.m \(\chi_{600}(299, \cdot)\) 600.2.m.a 4 1
600.2.m.b 8
600.2.m.c 16
600.2.m.d 16
600.2.m.e 24
600.2.o \(\chi_{600}(599, \cdot)\) None 0 1
600.2.r \(\chi_{600}(257, \cdot)\) 600.2.r.a 4 2
600.2.r.b 4
600.2.r.c 4
600.2.r.d 4
600.2.r.e 4
600.2.r.f 16
600.2.s \(\chi_{600}(7, \cdot)\) None 0 2
600.2.v \(\chi_{600}(43, \cdot)\) 600.2.v.a 16 2
600.2.v.b 24
600.2.v.c 32
600.2.w \(\chi_{600}(293, \cdot)\) 600.2.w.a 4 2
600.2.w.b 4
600.2.w.c 4
600.2.w.d 4
600.2.w.e 4
600.2.w.f 4
600.2.w.g 4
600.2.w.h 4
600.2.w.i 8
600.2.w.j 32
600.2.w.k 64
600.2.y \(\chi_{600}(121, \cdot)\) 600.2.y.a 4 4
600.2.y.b 4
600.2.y.c 12
600.2.y.d 12
600.2.y.e 16
600.2.y.f 16
600.2.ba \(\chi_{600}(71, \cdot)\) None 0 4
600.2.bc \(\chi_{600}(169, \cdot)\) 600.2.bc.a 8 4
600.2.bc.b 24
600.2.bc.c 24
600.2.be \(\chi_{600}(109, \cdot)\) 600.2.be.a 120 4
600.2.be.b 120
600.2.bg \(\chi_{600}(11, \cdot)\) 600.2.bg.a 464 4
600.2.bi \(\chi_{600}(119, \cdot)\) None 0 4
600.2.bk \(\chi_{600}(59, \cdot)\) 600.2.bk.a 464 4
600.2.bm \(\chi_{600}(61, \cdot)\) 600.2.bm.a 240 4
600.2.bp \(\chi_{600}(53, \cdot)\) 600.2.bp.a 16 8
600.2.bp.b 16
600.2.bp.c 896
600.2.bq \(\chi_{600}(67, \cdot)\) 600.2.bq.a 480 8
600.2.bt \(\chi_{600}(103, \cdot)\) None 0 8
600.2.bu \(\chi_{600}(17, \cdot)\) 600.2.bu.a 240 8

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(600))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(600)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(15))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(20))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(24))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(25))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(30))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(40))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(50))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(60))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(75))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(100))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(120))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(150))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(200))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(300))\)\(^{\oplus 2}\)

Hecke characteristic polynomials

$p$ $F_p(T)$
$2$ (\( 1 + 2 T^{2} \))(\( ( 1 + 2 T^{2} )^{2} \))(\( 1 - T^{2} + 4 T^{4} \))(\( ( 1 + 2 T^{2} )^{2} \))(\( 1 + T + 2 T^{3} + 4 T^{4} + 4 T^{5} + 8 T^{7} + 16 T^{8} \))(\( 1 - T - 2 T^{3} + 4 T^{4} - 4 T^{5} - 8 T^{7} + 16 T^{8} \))(\( 1 - 5 T^{2} + 14 T^{4} - 30 T^{6} + 56 T^{8} - 80 T^{10} + 64 T^{12} \))(\( 1 - 5 T^{2} + 14 T^{4} - 30 T^{6} + 56 T^{8} - 80 T^{10} + 64 T^{12} \))(\( ( 1 + 16 T^{8} )^{2} \))(\( 1 + 2 T + 2 T^{2} \))(\( 1 + 2 T + 2 T^{2} \))(\( 1 - 2 T + 2 T^{2} \))(\( 1 - 2 T + 2 T^{2} \))(\( 1 - T^{2} - 2 T^{3} - 2 T^{4} + 8 T^{6} \))(\( 1 - T^{2} + 2 T^{3} - 2 T^{4} + 8 T^{6} \))(\( 1 + 2 T + 4 T^{2} + 8 T^{3} + 10 T^{4} + 16 T^{5} + 16 T^{6} + 16 T^{7} + 16 T^{8} \))(\( 1 - 2 T + 4 T^{2} - 8 T^{3} + 10 T^{4} - 16 T^{5} + 16 T^{6} - 16 T^{7} + 16 T^{8} \))(\( 1 + 2 T + 2 T^{2} \))(\( 1 - 2 T + 2 T^{2} \))(\( 1 + 2 T + 3 T^{2} + 6 T^{3} + 6 T^{4} + 8 T^{5} + 8 T^{6} \))(\( 1 + 2 T - 4 T^{3} - 6 T^{4} - 8 T^{5} + 16 T^{7} + 16 T^{8} \))(\( 1 - 2 T + 4 T^{3} - 6 T^{4} + 8 T^{5} - 16 T^{7} + 16 T^{8} \))(\( 1 + T^{2} - 8 T^{6} + 16 T^{10} + 64 T^{12} \))(\( ( 1 - 2 T^{2} )^{2} \))(\( ( 1 - 2 T^{2} )^{4} \))(\( 1 + T^{2} + 4 T^{4} + 12 T^{6} + 16 T^{8} + 48 T^{10} + 64 T^{12} + 64 T^{14} + 256 T^{16} \))(\( 1 + T^{2} + 4 T^{4} + 12 T^{6} + 16 T^{8} + 48 T^{10} + 64 T^{12} + 64 T^{14} + 256 T^{16} \))(\( 1 - 7 T^{4} + 40 T^{8} - 112 T^{12} + 256 T^{16} \))(\( ( 1 + 2 T + 2 T^{2} )^{2} \))(\( ( 1 + 2 T + 2 T^{2} )^{2} \))(\( 1 + 2 T + 2 T^{2} + 4 T^{3} + 4 T^{4} \))(\( 1 + 2 T + 2 T^{2} + 4 T^{3} + 4 T^{4} \))(\( 1 - 2 T + 2 T^{2} - 4 T^{3} + 4 T^{4} \))(\( 1 - 2 T + 2 T^{2} - 4 T^{3} + 4 T^{4} \))(\( ( 1 - 2 T + 2 T^{2} )^{2} \))(\( ( 1 - 2 T + 2 T^{2} )^{2} \))(\( 1 - 7 T^{4} + 16 T^{8} \))(\( ( 1 + 2 T + 2 T^{2} - 4 T^{4} + 8 T^{6} + 16 T^{7} + 16 T^{8} )^{2} \))(\( ( 1 - 2 T + 2 T^{2} - 4 T^{4} + 8 T^{6} - 16 T^{7} + 16 T^{8} )^{2} \))
$3$ (\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - 2 T + 3 T^{2} \))(\( 1 + 2 T + T^{2} + 6 T^{3} + 9 T^{4} \))(\( ( 1 + 3 T^{2} )^{2} \))(\( 1 - 2 T + T^{2} - 6 T^{3} + 9 T^{4} \))(\( 1 - 4 T^{3} - 2 T^{4} - 12 T^{5} + 81 T^{8} \))(\( 1 - 4 T^{3} - 2 T^{4} - 12 T^{5} + 81 T^{8} \))(\( ( 1 + T + T^{2} + 2 T^{3} + 3 T^{4} + 9 T^{5} + 27 T^{6} )^{2} \))(\( ( 1 - T + T^{2} - 2 T^{3} + 3 T^{4} - 9 T^{5} + 27 T^{6} )^{2} \))(\( ( 1 - 4 T^{2} + 14 T^{4} - 36 T^{6} + 81 T^{8} )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{6} \))(\( ( 1 - T )^{6} \))(\( ( 1 + T )^{8} \))(\( ( 1 - T )^{8} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( ( 1 + T^{2} )^{3} \))(\( ( 1 + T^{2} )^{4} \))(\( ( 1 + T^{2} )^{4} \))(\( ( 1 + T^{2} )^{6} \))(\( 1 - 2 T^{2} + 9 T^{4} \))(\( 1 + 2 T^{2} - 5 T^{4} + 18 T^{6} + 81 T^{8} \))(\( 1 - 4 T^{4} + 16 T^{6} + 70 T^{8} + 144 T^{10} - 324 T^{12} + 6561 T^{16} \))(\( 1 - 4 T^{4} + 16 T^{6} + 70 T^{8} + 144 T^{10} - 324 T^{12} + 6561 T^{16} \))(\( 1 + 4 T + 8 T^{2} + 12 T^{3} + 9 T^{4} \))(\( ( 1 + 2 T + 3 T^{2} )^{2} \))(\( 1 - 2 T^{2} + 9 T^{4} \))(\( 1 - 4 T + 8 T^{2} - 12 T^{3} + 9 T^{4} \))(\( 1 - 4 T + 8 T^{2} - 12 T^{3} + 9 T^{4} \))(\( 1 - 7 T^{4} - 32 T^{8} - 567 T^{12} + 6561 T^{16} \))(\( ( 1 + T^{4} )^{4} \))(\( 1 + 9 T^{4} \))(\( 1 + 9 T^{4} \))(\( ( 1 + 3 T^{2} )^{2} \))(\( ( 1 - 3 T^{2} )^{2} \))(\( ( 1 - 3 T^{2} )^{2} \))(\( ( 1 + 3 T^{2} )^{2} \))(\( 1 + 9 T^{4} \))(\( 1 + 9 T^{4} \))(\( ( 1 + 9 T^{4} )^{2} \))(\( 1 + T + T^{2} + T^{3} + T^{4} \))(\( 1 - T + T^{2} - T^{3} + T^{4} \))(\( ( 1 + T + T^{2} + T^{3} + T^{4} )^{3} \))(\( ( 1 - T + T^{2} - T^{3} + T^{4} )^{3} \))(\( ( 1 + T + T^{2} + T^{3} + T^{4} )^{4} \))(\( ( 1 - T + T^{2} - T^{3} + T^{4} )^{4} \))(\( 1 - T^{2} + T^{4} - T^{6} + T^{8} \))(\( 1 - 9 T^{4} + 81 T^{8} - 729 T^{12} + 6561 T^{16} \))(\( 1 - 9 T^{4} + 81 T^{8} - 729 T^{12} + 6561 T^{16} \))
$5$ (\( 1 + 5 T + 15 T^{2} + 25 T^{3} + 25 T^{4} \))(\( 1 + 5 T + 15 T^{2} + 25 T^{3} + 25 T^{4} \))(\( 1 - 4 T + 16 T^{2} - 29 T^{3} + 106 T^{4} - 250 T^{5} + 815 T^{6} - 1250 T^{7} + 2650 T^{8} - 3625 T^{9} + 10000 T^{10} - 12500 T^{11} + 15625 T^{12} \))(\( 1 + 15 T^{3} - 20 T^{4} - 50 T^{5} + 75 T^{6} - 250 T^{7} - 500 T^{8} + 1875 T^{9} + 15625 T^{12} \))(\( 1 - T - 9 T^{2} + 14 T^{3} + 16 T^{4} - 75 T^{5} + 260 T^{6} + 150 T^{7} - 2175 T^{8} + 750 T^{9} + 6500 T^{10} - 9375 T^{11} + 10000 T^{12} + 43750 T^{13} - 140625 T^{14} - 78125 T^{15} + 390625 T^{16} \))(\( 1 - 7 T + 19 T^{2} - 28 T^{3} + 36 T^{4} - 5 T^{5} - 240 T^{6} + 550 T^{7} - 695 T^{8} + 2750 T^{9} - 6000 T^{10} - 625 T^{11} + 22500 T^{12} - 87500 T^{13} + 296875 T^{14} - 546875 T^{15} + 390625 T^{16} \))(\( 1 + 5 T^{2} + 10 T^{3} + 5 T^{4} + 50 T^{5} + 125 T^{6} + 625 T^{8} \))(\( 1 - 4 T + 8 T^{2} - 20 T^{3} + 71 T^{4} - 140 T^{5} + 192 T^{6} - 568 T^{7} + 1761 T^{8} - 2840 T^{9} + 4800 T^{10} - 17500 T^{11} + 44375 T^{12} - 62500 T^{13} + 125000 T^{14} - 312500 T^{15} + 390625 T^{16} \))(\( 1 + 4 T + 8 T^{2} + 20 T^{3} + 71 T^{4} + 140 T^{5} + 192 T^{6} + 568 T^{7} + 1761 T^{8} + 2840 T^{9} + 4800 T^{10} + 17500 T^{11} + 44375 T^{12} + 62500 T^{13} + 125000 T^{14} + 312500 T^{15} + 390625 T^{16} \))
$7$ (\( 1 + 4 T + 7 T^{2} \))(\( 1 + 3 T + 7 T^{2} \))(\( 1 + 7 T^{2} \))(\( 1 - 2 T + 7 T^{2} \))(\( 1 - 5 T + 7 T^{2} \))(\( 1 + 5 T + 7 T^{2} \))(\( 1 + 2 T + 7 T^{2} \))(\( 1 + 7 T^{2} \))(\( 1 - 3 T + 7 T^{2} \))(\( ( 1 - 7 T^{2} )^{2} \))(\( ( 1 - 7 T^{2} )^{4} \))(\( ( 1 - 7 T^{2} )^{4} \))(\( ( 1 - 7 T^{2} )^{4} \))(\( 1 - 20 T^{2} + 244 T^{4} - 2364 T^{6} + 18678 T^{8} - 115836 T^{10} + 585844 T^{12} - 2352980 T^{14} + 5764801 T^{16} \))(\( 1 - 20 T^{2} + 244 T^{4} - 2364 T^{6} + 18678 T^{8} - 115836 T^{10} + 585844 T^{12} - 2352980 T^{14} + 5764801 T^{16} \))(\( ( 1 - 12 T^{2} + 120 T^{4} - 906 T^{6} + 5880 T^{8} - 28812 T^{10} + 117649 T^{12} )^{2} \))(\( ( 1 - 12 T^{2} + 120 T^{4} - 906 T^{6} + 5880 T^{8} - 28812 T^{10} + 117649 T^{12} )^{2} \))(\( ( 1 - 12 T^{2} + 126 T^{4} - 588 T^{6} + 2401 T^{8} )^{4} \))(\( 1 - 10 T^{2} + 49 T^{4} \))(\( 1 - 10 T^{2} + 49 T^{4} \))(\( 1 - 10 T^{2} + 49 T^{4} \))(\( 1 - 10 T^{2} + 49 T^{4} \))(\( 1 - 6 T^{2} + 47 T^{4} - 500 T^{6} + 2303 T^{8} - 14406 T^{10} + 117649 T^{12} \))(\( 1 - 6 T^{2} + 47 T^{4} - 500 T^{6} + 2303 T^{8} - 14406 T^{10} + 117649 T^{12} \))(\( 1 - 28 T^{2} + 330 T^{4} - 2224 T^{6} + 13203 T^{8} - 108976 T^{10} + 792330 T^{12} - 3294172 T^{14} + 5764801 T^{16} \))(\( 1 - 28 T^{2} + 330 T^{4} - 2224 T^{6} + 13203 T^{8} - 108976 T^{10} + 792330 T^{12} - 3294172 T^{14} + 5764801 T^{16} \))(\( 1 + 11 T^{2} + 49 T^{4} \))(\( ( 1 - 7 T^{2} )^{2} \))(\( 1 + 2 T^{2} + 49 T^{4} \))(\( 1 - 5 T^{2} + 49 T^{4} \))(\( ( 1 - 7 T^{2} )^{2} \))(\( ( 1 + 2 T + 7 T^{2} )^{2} \))(\( ( 1 - 2 T + 7 T^{2} )^{2} \))(\( ( 1 + 2 T + 5 T^{2} + 12 T^{3} + 35 T^{4} + 98 T^{5} + 343 T^{6} )^{2} \))(\( ( 1 - 4 T + 22 T^{2} - 72 T^{3} + 211 T^{4} - 504 T^{5} + 1078 T^{6} - 1372 T^{7} + 2401 T^{8} )^{2} \))(\( ( 1 + 4 T + 22 T^{2} + 72 T^{3} + 211 T^{4} + 504 T^{5} + 1078 T^{6} + 1372 T^{7} + 2401 T^{8} )^{2} \))(\( ( 1 + 18 T^{2} + 191 T^{4} + 1532 T^{6} + 9359 T^{8} + 43218 T^{10} + 117649 T^{12} )^{2} \))(\( ( 1 + 7 T^{2} )^{4} \))(\( ( 1 + 7 T^{2} )^{8} \))(\( ( 1 + 20 T^{2} + 244 T^{4} + 2364 T^{6} + 18678 T^{8} + 115836 T^{10} + 585844 T^{12} + 2352980 T^{14} + 5764801 T^{16} )^{2} \))(\( ( 1 + 20 T^{2} + 244 T^{4} + 2364 T^{6} + 18678 T^{8} + 115836 T^{10} + 585844 T^{12} + 2352980 T^{14} + 5764801 T^{16} )^{2} \))(\( ( 1 + 4 T + 8 T^{2} + 28 T^{3} + 49 T^{4} )^{2} \))(\( 1 - 4 T + 8 T^{2} - 20 T^{3} + 46 T^{4} - 140 T^{5} + 392 T^{6} - 1372 T^{7} + 2401 T^{8} \))(\( 1 - 4 T + 8 T^{2} - 20 T^{3} + 46 T^{4} - 140 T^{5} + 392 T^{6} - 1372 T^{7} + 2401 T^{8} \))(\( ( 1 + 6 T + 18 T^{2} + 42 T^{3} + 49 T^{4} )^{2} \))(\( ( 1 - 4 T + 8 T^{2} - 28 T^{3} + 49 T^{4} )^{2} \))(\( ( 1 + 41 T^{4} + 1584 T^{8} + 98441 T^{12} + 5764801 T^{16} )^{2} \))(\( ( 1 - 28 T^{4} + 646 T^{8} - 67228 T^{12} + 5764801 T^{16} )^{2} \))(\( ( 1 + 49 T^{4} )^{2} \))(\( ( 1 - 2 T + 7 T^{2} )^{2}( 1 - 10 T^{2} + 49 T^{4} ) \))(\( ( 1 + 6 T + 18 T^{2} + 42 T^{3} + 49 T^{4} )^{2} \))(\( ( 1 - 6 T + 18 T^{2} - 42 T^{3} + 49 T^{4} )^{2} \))(\( ( 1 + 6 T + 18 T^{2} + 42 T^{3} + 49 T^{4} )^{2} \))(\( ( 1 - 6 T + 18 T^{2} - 42 T^{3} + 49 T^{4} )^{2} \))(\( ( 1 + 49 T^{4} )^{2} \))(\( ( 1 - 2 T + 7 T^{2} )^{2}( 1 - 10 T^{2} + 49 T^{4} ) \))(\( ( 1 + 49 T^{4} )^{4} \))(\( ( 1 - 6 T + 18 T^{2} - 42 T^{3} + 49 T^{4} )^{2} \))(\( ( 1 - 2 T + 10 T^{2} - 14 T^{3} + 49 T^{4} )^{2} \))(\( ( 1 + 4 T + 26 T^{2} + 55 T^{3} + 202 T^{4} + 185 T^{5} + 986 T^{6} + 1295 T^{7} + 9898 T^{8} + 18865 T^{9} + 62426 T^{10} + 67228 T^{11} + 117649 T^{12} )^{2} \))(\( ( 1 + 2 T + 26 T^{2} + 33 T^{3} + 328 T^{4} + 343 T^{5} + 2810 T^{6} + 2401 T^{7} + 16072 T^{8} + 11319 T^{9} + 62426 T^{10} + 33614 T^{11} + 117649 T^{12} )^{2} \))(\( ( 1 - T + 27 T^{2} - 20 T^{3} + 370 T^{4} - 214 T^{5} + 3686 T^{6} - 1675 T^{7} + 28984 T^{8} - 11725 T^{9} + 180614 T^{10} - 73402 T^{11} + 888370 T^{12} - 336140 T^{13} + 3176523 T^{14} - 823543 T^{15} + 5764801 T^{16} )^{2} \))(\( ( 1 + 5 T + 21 T^{2} + 60 T^{3} + 212 T^{4} + 770 T^{5} + 2288 T^{6} + 5925 T^{7} + 13760 T^{8} + 41475 T^{9} + 112112 T^{10} + 264110 T^{11} + 509012 T^{12} + 1008420 T^{13} + 2470629 T^{14} + 4117715 T^{15} + 5764801 T^{16} )^{2} \))(\( 1 + 116 T^{4} + 320 T^{6} + 6246 T^{8} + 15680 T^{10} + 278516 T^{12} + 5764801 T^{16} \))(\( ( 1 - 2 T - 3 T^{2} + 20 T^{3} - 19 T^{4} + 140 T^{5} - 147 T^{6} - 686 T^{7} + 2401 T^{8} )^{2}( 1 + 10 T^{2} + 51 T^{4} + 20 T^{6} - 2299 T^{8} + 980 T^{10} + 122451 T^{12} + 1176490 T^{14} + 5764801 T^{16} ) \))(\( ( 1 - 2 T - 3 T^{2} + 20 T^{3} - 19 T^{4} + 140 T^{5} - 147 T^{6} - 686 T^{7} + 2401 T^{8} )^{2}( 1 + 10 T^{2} + 51 T^{4} + 20 T^{6} - 2299 T^{8} + 980 T^{10} + 122451 T^{12} + 1176490 T^{14} + 5764801 T^{16} ) \))
$11$ (\( 1 + 11 T^{2} \))(\( 1 - 2 T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 - 2 T + 11 T^{2} \))(\( 1 + 6 T + 11 T^{2} \))(\( 1 + 6 T + 11 T^{2} \))(\( 1 - 2 T + 11 T^{2} \))(\( 1 - 4 T + 11 T^{2} \))(\( 1 - 2 T + 11 T^{2} \))(\( ( 1 - 6 T + 11 T^{2} )( 1 + 6 T + 11 T^{2} ) \))(\( ( 1 - 6 T + 25 T^{2} - 66 T^{3} + 121 T^{4} )( 1 + 6 T + 25 T^{2} + 66 T^{3} + 121 T^{4} ) \))(\( ( 1 - 11 T^{2} )^{4} \))(\( ( 1 - 6 T + 25 T^{2} - 66 T^{3} + 121 T^{4} )( 1 + 6 T + 25 T^{2} + 66 T^{3} + 121 T^{4} ) \))(\( 1 - 40 T^{2} + 892 T^{4} - 14424 T^{6} + 178918 T^{8} - 1745304 T^{10} + 13059772 T^{12} - 70862440 T^{14} + 214358881 T^{16} \))(\( 1 - 40 T^{2} + 892 T^{4} - 14424 T^{6} + 178918 T^{8} - 1745304 T^{10} + 13059772 T^{12} - 70862440 T^{14} + 214358881 T^{16} \))(\( ( 1 - 47 T^{2} + 1091 T^{4} - 15090 T^{6} + 132011 T^{8} - 688127 T^{10} + 1771561 T^{12} )^{2} \))(\( ( 1 - 47 T^{2} + 1091 T^{4} - 15090 T^{6} + 132011 T^{8} - 688127 T^{10} + 1771561 T^{12} )^{2} \))(\( ( 1 - 20 T^{2} + 310 T^{4} - 2420 T^{6} + 14641 T^{8} )^{4} \))(\( 1 - 6 T^{2} + 121 T^{4} \))(\( ( 1 - 11 T^{2} )^{2} \))(\( ( 1 - 11 T^{2} )^{2} \))(\( 1 - 6 T^{2} + 121 T^{4} \))(\( 1 - 2 T^{2} + 87 T^{4} + 4 T^{6} + 10527 T^{8} - 29282 T^{10} + 1771561 T^{12} \))(\( 1 - 2 T^{2} + 87 T^{4} + 4 T^{6} + 10527 T^{8} - 29282 T^{10} + 1771561 T^{12} \))(\( 1 - 56 T^{2} + 1612 T^{4} - 29896 T^{6} + 388998 T^{8} - 3617416 T^{10} + 23601292 T^{12} - 99207416 T^{14} + 214358881 T^{16} \))(\( 1 - 56 T^{2} + 1612 T^{4} - 29896 T^{6} + 388998 T^{8} - 3617416 T^{10} + 23601292 T^{12} - 99207416 T^{14} + 214358881 T^{16} \))(\( ( 1 + 6 T + 11 T^{2} )^{2} \))(\( ( 1 + 4 T + 11 T^{2} )^{2} \))(\( ( 1 + 11 T^{2} )^{2} \))(\( ( 1 - 2 T + 11 T^{2} )^{2} \))(\( ( 1 - 4 T + 11 T^{2} )^{2} \))(\( 1 - 6 T^{2} + 121 T^{4} \))(\( ( 1 - 11 T^{2} )^{2} \))(\( 1 - 2 T^{2} + 87 T^{4} + 4 T^{6} + 10527 T^{8} - 29282 T^{10} + 1771561 T^{12} \))(\( 1 - 56 T^{2} + 1612 T^{4} - 29896 T^{6} + 388998 T^{8} - 3617416 T^{10} + 23601292 T^{12} - 99207416 T^{14} + 214358881 T^{16} \))(\( 1 - 56 T^{2} + 1612 T^{4} - 29896 T^{6} + 388998 T^{8} - 3617416 T^{10} + 23601292 T^{12} - 99207416 T^{14} + 214358881 T^{16} \))(\( ( 1 - 34 T^{2} + 503 T^{4} - 5436 T^{6} + 60863 T^{8} - 497794 T^{10} + 1771561 T^{12} )^{2} \))(\( ( 1 - 6 T + 11 T^{2} )^{2}( 1 + 6 T + 11 T^{2} )^{2} \))(\( ( 1 - 6 T + 25 T^{2} - 66 T^{3} + 121 T^{4} )^{2}( 1 + 6 T + 25 T^{2} + 66 T^{3} + 121 T^{4} )^{2} \))(\( ( 1 - 40 T^{2} + 892 T^{4} - 14424 T^{6} + 178918 T^{8} - 1745304 T^{10} + 13059772 T^{12} - 70862440 T^{14} + 214358881 T^{16} )^{2} \))(\( ( 1 - 40 T^{2} + 892 T^{4} - 14424 T^{6} + 178918 T^{8} - 1745304 T^{10} + 13059772 T^{12} - 70862440 T^{14} + 214358881 T^{16} )^{2} \))(\( ( 1 + 10 T^{2} + 121 T^{4} )^{2} \))(\( 1 - 20 T^{2} + 214 T^{4} - 2420 T^{6} + 14641 T^{8} \))(\( 1 - 20 T^{2} + 214 T^{4} - 2420 T^{6} + 14641 T^{8} \))(\( ( 1 - 20 T^{2} + 121 T^{4} )^{2} \))(\( ( 1 + 10 T^{2} + 121 T^{4} )^{2} \))(\( ( 1 - 25 T^{2} + 324 T^{4} - 3025 T^{6} + 14641 T^{8} )^{4} \))(\( ( 1 - 2 T + 11 T^{2} )^{16} \))(\( ( 1 - 2 T^{2} + 121 T^{4} )^{2} \))(\( ( 1 - 8 T + 32 T^{2} - 88 T^{3} + 121 T^{4} )^{2} \))(\( ( 1 + 10 T^{2} + 121 T^{4} )^{2} \))(\( ( 1 + 10 T^{2} + 121 T^{4} )^{2} \))(\( ( 1 + 10 T^{2} + 121 T^{4} )^{2} \))(\( ( 1 + 10 T^{2} + 121 T^{4} )^{2} \))(\( ( 1 - 2 T^{2} + 121 T^{4} )^{2} \))(\( ( 1 + 8 T + 32 T^{2} + 88 T^{3} + 121 T^{4} )^{2} \))(\( ( 1 + 11 T^{2} )^{8} \))(\( 1 + 2 T - 7 T^{2} - 36 T^{3} + 5 T^{4} - 396 T^{5} - 847 T^{6} + 2662 T^{7} + 14641 T^{8} \))(\( 1 + 10 T + 49 T^{2} + 200 T^{3} + 741 T^{4} + 2200 T^{5} + 5929 T^{6} + 13310 T^{7} + 14641 T^{8} \))(\( 1 + 4 T - 2 T^{2} + 10 T^{3} + 188 T^{4} + 240 T^{5} + 337 T^{6} - 2104 T^{7} - 11924 T^{8} + 19058 T^{9} - 42612 T^{10} - 695312 T^{11} - 1220083 T^{12} - 7648432 T^{13} - 5156052 T^{14} + 25366198 T^{15} - 174579284 T^{16} - 338851304 T^{17} + 597016057 T^{18} + 4676921040 T^{19} + 40299469628 T^{20} + 23579476910 T^{21} - 51874849202 T^{22} + 1141246682444 T^{23} + 3138428376721 T^{24} \))(\( 1 - 10 T + 54 T^{2} - 136 T^{3} + 70 T^{4} + 612 T^{5} - 1279 T^{6} + 2484 T^{7} - 29692 T^{8} + 137004 T^{9} - 71982 T^{10} - 2039538 T^{11} + 10395949 T^{12} - 22434918 T^{13} - 8709822 T^{14} + 182352324 T^{15} - 434720572 T^{16} + 400050684 T^{17} - 2265826519 T^{18} + 11926148652 T^{19} + 15005121670 T^{20} - 320680885976 T^{21} + 1400620928454 T^{22} - 2853116706110 T^{23} + 3138428376721 T^{24} \))(\( 1 + 3 T - 31 T^{2} - 99 T^{3} + 262 T^{4} + 1779 T^{5} + 5416 T^{6} - 17568 T^{7} - 159652 T^{8} - 72657 T^{9} + 1558364 T^{10} + 6311517 T^{11} + 459062 T^{12} - 102918246 T^{13} - 209430350 T^{14} + 562589841 T^{15} + 3196260232 T^{16} + 6188488251 T^{17} - 25341072350 T^{18} - 136984185426 T^{19} + 6721126742 T^{20} + 1016476124367 T^{21} + 2760736886204 T^{22} - 1415879383347 T^{23} - 34222824069412 T^{24} - 41424425035488 T^{25} + 140477091639016 T^{26} + 507569462016969 T^{27} + 822268234700902 T^{28} - 3417748502249169 T^{29} - 11772244841080471 T^{30} + 12531744508246953 T^{31} + 45949729863572161 T^{32} \))(\( 1 - 9 T + 31 T^{2} - 85 T^{3} + 320 T^{4} + 213 T^{5} - 7582 T^{6} + 24408 T^{7} - 42500 T^{8} + 81805 T^{9} + 506396 T^{10} - 4720339 T^{11} + 13780546 T^{12} - 15287940 T^{13} - 49587810 T^{14} + 532374977 T^{15} - 2414627628 T^{16} + 5856124747 T^{17} - 6000125010 T^{18} - 20348248140 T^{19} + 201760973986 T^{20} - 760215316289 T^{21} + 897111404156 T^{22} + 1594148023655 T^{23} - 9110252442500 T^{24} + 57552787241928 T^{25} - 196657553324782 T^{26} + 60771385840143 T^{27} + 1004297080550720 T^{28} - 2934430532234135 T^{29} + 11772244841080471 T^{30} - 37595233524740859 T^{31} + 45949729863572161 T^{32} \))(\( 1 - 6 T + 20 T^{2} - 40 T^{3} + 95 T^{4} - 278 T^{5} + 518 T^{6} + 960 T^{7} - 4795 T^{8} + 10560 T^{9} + 62678 T^{10} - 370018 T^{11} + 1390895 T^{12} - 6442040 T^{13} + 35431220 T^{14} - 116923026 T^{15} + 214358881 T^{16} \))(\( ( 1 - 8 T + 32 T^{2} - 88 T^{3} + 121 T^{4} )^{4}( 1 + 8 T + 32 T^{2} + 88 T^{3} + 263 T^{4} + 88 T^{5} - 3840 T^{6} - 21040 T^{7} - 69519 T^{8} - 231440 T^{9} - 464640 T^{10} + 117128 T^{11} + 3850583 T^{12} + 14172488 T^{13} + 56689952 T^{14} + 155897368 T^{15} + 214358881 T^{16} ) \))(\( ( 1 + 8 T + 32 T^{2} + 88 T^{3} + 121 T^{4} )^{4}( 1 - 8 T + 32 T^{2} - 88 T^{3} + 263 T^{4} - 88 T^{5} - 3840 T^{6} + 21040 T^{7} - 69519 T^{8} + 231440 T^{9} - 464640 T^{10} - 117128 T^{11} + 3850583 T^{12} - 14172488 T^{13} + 56689952 T^{14} - 155897368 T^{15} + 214358881 T^{16} ) \))
$13$ (\( 1 - 6 T + 13 T^{2} \))(\( 1 - 3 T + 13 T^{2} \))(\( 1 + 6 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 - 3 T + 13 T^{2} \))(\( 1 + 3 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 + 3 T + 13 T^{2} \))(\( ( 1 - 13 T^{2} )^{2} \))(\( ( 1 - 13 T^{2} )^{4} \))(\( ( 1 - 13 T^{2} )^{4} \))(\( ( 1 - 13 T^{2} )^{4} \))(\( 1 - 52 T^{2} + 1556 T^{4} - 31660 T^{6} + 477814 T^{8} - 5350540 T^{10} + 44440916 T^{12} - 250994068 T^{14} + 815730721 T^{16} \))(\( 1 - 52 T^{2} + 1556 T^{4} - 31660 T^{6} + 477814 T^{8} - 5350540 T^{10} + 44440916 T^{12} - 250994068 T^{14} + 815730721 T^{16} \))(\( ( 1 - 20 T^{2} + 360 T^{4} - 6710 T^{6} + 60840 T^{8} - 571220 T^{10} + 4826809 T^{12} )^{2} \))(\( ( 1 - 20 T^{2} + 360 T^{4} - 6710 T^{6} + 60840 T^{8} - 571220 T^{10} + 4826809 T^{12} )^{2} \))(\( ( 1 - 20 T^{2} + 406 T^{4} - 3380 T^{6} + 28561 T^{8} )^{4} \))(\( ( 1 + 13 T^{2} )^{2} \))(\( ( 1 - 4 T + 13 T^{2} )^{2} \))(\( ( 1 + 4 T + 13 T^{2} )^{2} \))(\( ( 1 + 13 T^{2} )^{2} \))(\( ( 1 + 11 T^{2} - 16 T^{3} + 143 T^{4} + 2197 T^{6} )^{2} \))(\( ( 1 + 11 T^{2} + 16 T^{3} + 143 T^{4} + 2197 T^{6} )^{2} \))(\( ( 1 + 30 T^{2} + 32 T^{3} + 451 T^{4} + 416 T^{5} + 5070 T^{6} + 28561 T^{8} )^{2} \))(\( ( 1 + 30 T^{2} - 32 T^{3} + 451 T^{4} - 416 T^{5} + 5070 T^{6} + 28561 T^{8} )^{2} \))(\( 1 - 17 T^{2} + 169 T^{4} \))(\( ( 1 - 4 T + 13 T^{2} )( 1 + 4 T + 13 T^{2} ) \))(\( ( 1 - 4 T + 13 T^{2} )( 1 + 4 T + 13 T^{2} ) \))(\( 1 - 17 T^{2} + 169 T^{4} \))(\( 1 - 22 T^{2} + 169 T^{4} \))(\( ( 1 - 13 T^{2} )^{2} \))(\( ( 1 - 6 T + 13 T^{2} )( 1 + 6 T + 13 T^{2} ) \))(\( 1 - 22 T^{2} + 407 T^{4} - 7284 T^{6} + 68783 T^{8} - 628342 T^{10} + 4826809 T^{12} \))(\( 1 - 60 T^{2} + 1802 T^{4} - 36176 T^{6} + 538099 T^{8} - 6113744 T^{10} + 51466922 T^{12} - 289608540 T^{14} + 815730721 T^{16} \))(\( 1 - 60 T^{2} + 1802 T^{4} - 36176 T^{6} + 538099 T^{8} - 6113744 T^{10} + 51466922 T^{12} - 289608540 T^{14} + 815730721 T^{16} \))(\( ( 1 - 30 T^{2} + 743 T^{4} - 10436 T^{6} + 125567 T^{8} - 856830 T^{10} + 4826809 T^{12} )^{2} \))(\( ( 1 + 13 T^{2} )^{4} \))(\( ( 1 + 13 T^{2} )^{8} \))(\( ( 1 + 52 T^{2} + 1556 T^{4} + 31660 T^{6} + 477814 T^{8} + 5350540 T^{10} + 44440916 T^{12} + 250994068 T^{14} + 815730721 T^{16} )^{2} \))(\( ( 1 + 52 T^{2} + 1556 T^{4} + 31660 T^{6} + 477814 T^{8} + 5350540 T^{10} + 44440916 T^{12} + 250994068 T^{14} + 815730721 T^{16} )^{2} \))(\( ( 1 + 169 T^{4} )^{2} \))(\( 1 + 4 T + 8 T^{2} - 4 T^{3} - 194 T^{4} - 52 T^{5} + 1352 T^{6} + 8788 T^{7} + 28561 T^{8} \))(\( 1 + 4 T + 8 T^{2} - 4 T^{3} - 194 T^{4} - 52 T^{5} + 1352 T^{6} + 8788 T^{7} + 28561 T^{8} \))(\( ( 1 + 169 T^{4} )^{2} \))(\( ( 1 + 169 T^{4} )^{2} \))(\( ( 1 - 527 T^{4} + 126480 T^{8} - 15051647 T^{12} + 815730721 T^{16} )^{2} \))(\( ( 1 - 252 T^{4} + 33830 T^{8} - 7197372 T^{12} + 815730721 T^{16} )^{2} \))(\( 1 - 142 T^{4} + 28561 T^{8} \))(\( ( 1 + 169 T^{4} )^{2} \))(\( 1 - 334 T^{4} + 28561 T^{8} \))(\( 1 - 334 T^{4} + 28561 T^{8} \))(\( 1 - 334 T^{4} + 28561 T^{8} \))(\( 1 - 334 T^{4} + 28561 T^{8} \))(\( 1 - 142 T^{4} + 28561 T^{8} \))(\( ( 1 + 169 T^{4} )^{2} \))(\( ( 1 + 169 T^{4} )^{4} \))(\( 1 - 8 T + 21 T^{2} + 56 T^{3} - 511 T^{4} + 728 T^{5} + 3549 T^{6} - 17576 T^{7} + 28561 T^{8} \))(\( 1 - 4 T - 7 T^{2} + 40 T^{3} + T^{4} + 520 T^{5} - 1183 T^{6} - 8788 T^{7} + 28561 T^{8} \))(\( 1 + 4 T - 18 T^{2} - 102 T^{3} + 166 T^{4} + 2688 T^{5} + 3279 T^{6} - 36572 T^{7} - 75374 T^{8} + 422240 T^{9} + 2087706 T^{10} - 1114818 T^{11} - 29213443 T^{12} - 14492634 T^{13} + 352822314 T^{14} + 927661280 T^{15} - 2152756814 T^{16} - 13578927596 T^{17} + 15827106711 T^{18} + 168668013696 T^{19} + 135411299686 T^{20} - 1081658936046 T^{21} - 2481452853282 T^{22} + 7168641576148 T^{23} + 23298085122481 T^{24} \))(\( 1 - 10 T + 8 T^{2} + 156 T^{3} - 52 T^{4} - 2244 T^{5} + 7045 T^{6} - 33100 T^{7} + 542 T^{8} + 587452 T^{9} + 285492 T^{10} - 6792044 T^{11} + 13256721 T^{12} - 88296572 T^{13} + 48248148 T^{14} + 1290632044 T^{15} + 15480062 T^{16} - 12289798300 T^{17} + 34004869405 T^{18} - 140807672148 T^{19} - 42417997492 T^{20} + 1654301902188 T^{21} + 1102867934792 T^{22} - 17921603940370 T^{23} + 23298085122481 T^{24} \))(\( 1 + 2 T - 25 T^{2} - 94 T^{3} + 205 T^{4} + 1986 T^{5} + 2384 T^{6} - 22194 T^{7} - 53746 T^{8} + 164322 T^{9} + 198327 T^{10} - 2206872 T^{11} - 1135182 T^{12} + 36993484 T^{13} + 156977478 T^{14} - 271068120 T^{15} - 3452152643 T^{16} - 3523885560 T^{17} + 26529193782 T^{18} + 81274684348 T^{19} - 32421933102 T^{20} - 819396125496 T^{21} + 957286548543 T^{22} + 10310961810474 T^{23} - 43842263330866 T^{24} - 235356259084362 T^{25} + 328654644568016 T^{26} + 3559230542557482 T^{27} + 4776107450108605 T^{28} - 28470260019671782 T^{29} - 98434409642482225 T^{30} + 102371786028181514 T^{31} + 665416609183179841 T^{32} \))(\( 1 + 12 T + 93 T^{2} + 530 T^{3} + 2505 T^{4} + 10206 T^{5} + 37902 T^{6} + 126898 T^{7} + 371940 T^{8} + 857730 T^{9} + 833071 T^{10} - 5760288 T^{11} - 50474892 T^{12} - 268828020 T^{13} - 1218389860 T^{14} - 4933665056 T^{15} - 18627672987 T^{16} - 64137645728 T^{17} - 205907886340 T^{18} - 590615159940 T^{19} - 1441613390412 T^{20} - 2138754612384 T^{21} + 4021074600439 T^{22} + 53821285486410 T^{23} + 303402884368740 T^{24} + 1345689761434954 T^{25} + 5225112558060798 T^{26} + 18290788981541622 T^{27} + 58361703231814905 T^{28} + 160523806493894090 T^{29} + 366176003870033877 T^{30} + 614230716169089084 T^{31} + 665416609183179841 T^{32} \))(\( 1 - 18 T^{2} - 45 T^{4} + 1852 T^{6} - 4731 T^{8} + 312988 T^{10} - 1285245 T^{12} - 86882562 T^{14} + 815730721 T^{16} \))(\( ( 1 - 169 T^{4} + 28561 T^{8} - 4826809 T^{12} + 815730721 T^{16} )^{2} \))(\( ( 1 - 169 T^{4} + 28561 T^{8} - 4826809 T^{12} + 815730721 T^{16} )^{2} \))
$17$ (\( 1 - 2 T + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( ( 1 - 6 T + 17 T^{2} )( 1 + 6 T + 17 T^{2} ) \))(\( ( 1 - 6 T + 19 T^{2} - 102 T^{3} + 289 T^{4} )( 1 + 6 T + 19 T^{2} + 102 T^{3} + 289 T^{4} ) \))(\( ( 1 + 14 T^{2} + 289 T^{4} )^{2} \))(\( ( 1 - 6 T + 19 T^{2} - 102 T^{3} + 289 T^{4} )( 1 + 6 T + 19 T^{2} + 102 T^{3} + 289 T^{4} ) \))(\( 1 - 84 T^{2} + 3604 T^{4} - 101164 T^{6} + 2018902 T^{8} - 29236396 T^{10} + 301009684 T^{12} - 2027555796 T^{14} + 6975757441 T^{16} \))(\( 1 - 84 T^{2} + 3604 T^{4} - 101164 T^{6} + 2018902 T^{8} - 29236396 T^{10} + 301009684 T^{12} - 2027555796 T^{14} + 6975757441 T^{16} \))(\( ( 1 - 67 T^{2} + 2131 T^{4} - 43546 T^{6} + 615859 T^{8} - 5595907 T^{10} + 24137569 T^{12} )^{2} \))(\( ( 1 - 67 T^{2} + 2131 T^{4} - 43546 T^{6} + 615859 T^{8} - 5595907 T^{10} + 24137569 T^{12} )^{2} \))(\( ( 1 - 52 T^{2} + 1222 T^{4} - 15028 T^{6} + 83521 T^{8} )^{4} \))(\( 1 + 2 T^{2} + 289 T^{4} \))(\( ( 1 - 8 T + 17 T^{2} )( 1 + 8 T + 17 T^{2} ) \))(\( ( 1 - 8 T + 17 T^{2} )( 1 + 8 T + 17 T^{2} ) \))(\( 1 + 2 T^{2} + 289 T^{4} \))(\( 1 - 34 T^{2} + 351 T^{4} - 1084 T^{6} + 101439 T^{8} - 2839714 T^{10} + 24137569 T^{12} \))(\( 1 - 34 T^{2} + 351 T^{4} - 1084 T^{6} + 101439 T^{8} - 2839714 T^{10} + 24137569 T^{12} \))(\( 1 - 56 T^{2} + 1484 T^{4} - 24968 T^{6} + 374950 T^{8} - 7215752 T^{10} + 123945164 T^{12} - 1351703864 T^{14} + 6975757441 T^{16} \))(\( 1 - 56 T^{2} + 1484 T^{4} - 24968 T^{6} + 374950 T^{8} - 7215752 T^{10} + 123945164 T^{12} - 1351703864 T^{14} + 6975757441 T^{16} \))(\( ( 1 - 8 T + 17 T^{2} )( 1 + 8 T + 17 T^{2} ) \))(\( 1 + 2 T^{2} + 289 T^{4} \))(\( ( 1 - 8 T + 17 T^{2} )( 1 + 8 T + 17 T^{2} ) \))(\( 1 + 2 T^{2} + 289 T^{4} \))(\( ( 1 - 8 T + 17 T^{2} )( 1 + 8 T + 17 T^{2} ) \))(\( ( 1 - 6 T + 17 T^{2} )^{2} \))(\( ( 1 - 2 T + 17 T^{2} )^{2} \))(\( ( 1 + 6 T + 35 T^{2} + 172 T^{3} + 595 T^{4} + 1734 T^{5} + 4913 T^{6} )^{2} \))(\( ( 1 + 28 T^{2} + 104 T^{3} + 350 T^{4} + 1768 T^{5} + 8092 T^{6} + 83521 T^{8} )^{2} \))(\( ( 1 + 28 T^{2} - 104 T^{3} + 350 T^{4} - 1768 T^{5} + 8092 T^{6} + 83521 T^{8} )^{2} \))(\( ( 1 + 66 T^{2} + 2255 T^{4} + 47324 T^{6} + 651695 T^{8} + 5512386 T^{10} + 24137569 T^{12} )^{2} \))(\( ( 1 + 2 T^{2} + 289 T^{4} )^{2} \))(\( ( 1 - 2 T^{2} - 285 T^{4} - 578 T^{6} + 83521 T^{8} )^{2} \))(\( ( 1 + 84 T^{2} + 3604 T^{4} + 101164 T^{6} + 2018902 T^{8} + 29236396 T^{10} + 301009684 T^{12} + 2027555796 T^{14} + 6975757441 T^{16} )^{2} \))(\( ( 1 + 84 T^{2} + 3604 T^{4} + 101164 T^{6} + 2018902 T^{8} + 29236396 T^{10} + 301009684 T^{12} + 2027555796 T^{14} + 6975757441 T^{16} )^{2} \))(\( 1 - 254 T^{4} + 83521 T^{8} \))(\( 1 - 4 T + 8 T^{2} - 12 T^{3} - 178 T^{4} - 204 T^{5} + 2312 T^{6} - 19652 T^{7} + 83521 T^{8} \))(\( 1 + 4 T + 8 T^{2} + 12 T^{3} - 178 T^{4} + 204 T^{5} + 2312 T^{6} + 19652 T^{7} + 83521 T^{8} \))(\( ( 1 - 8 T + 32 T^{2} - 136 T^{3} + 289 T^{4} )( 1 + 8 T + 32 T^{2} + 136 T^{3} + 289 T^{4} ) \))(\( 1 - 254 T^{4} + 83521 T^{8} \))(\( ( 1 + 17 T^{4} - 127584 T^{8} + 1419857 T^{12} + 6975757441 T^{16} )^{2} \))(\( ( 1 - 508 T^{4} + 161926 T^{8} - 42428668 T^{12} + 6975757441 T^{16} )^{2} \))(\( ( 1 + 4 T + 8 T^{2} + 68 T^{3} + 289 T^{4} )^{2} \))(\( ( 1 + 289 T^{4} )^{2} \))(\( ( 1 + 8 T + 32 T^{2} + 136 T^{3} + 289 T^{4} )^{2} \))(\( ( 1 + 8 T + 32 T^{2} + 136 T^{3} + 289 T^{4} )^{2} \))(\( ( 1 - 8 T + 32 T^{2} - 136 T^{3} + 289 T^{4} )^{2} \))(\( ( 1 - 8 T + 32 T^{2} - 136 T^{3} + 289 T^{4} )^{2} \))(\( ( 1 - 4 T + 8 T^{2} - 68 T^{3} + 289 T^{4} )^{2} \))(\( ( 1 + 289 T^{4} )^{2} \))(\( ( 1 - 382 T^{4} + 83521 T^{8} )^{2} \))(\( 1 + 6 T + 19 T^{2} + 132 T^{3} + 829 T^{4} + 2244 T^{5} + 5491 T^{6} + 29478 T^{7} + 83521 T^{8} \))(\( 1 + 2 T + 7 T^{2} - 20 T^{3} + 21 T^{4} - 340 T^{5} + 2023 T^{6} + 9826 T^{7} + 83521 T^{8} \))(\( 1 - T - 4 T^{2} - 99 T^{3} + 467 T^{4} - 653 T^{5} + 3751 T^{6} - 41238 T^{7} + 139490 T^{8} - 463359 T^{9} + 1357349 T^{10} - 8273004 T^{11} + 59266985 T^{12} - 140641068 T^{13} + 392273861 T^{14} - 2276482767 T^{15} + 11650344290 T^{16} - 58552062966 T^{17} + 90540021319 T^{18} - 267951153469 T^{19} + 3257678724947 T^{20} - 11740199773203 T^{21} - 8063975601796 T^{22} - 34271896307633 T^{23} + 582622237229761 T^{24} \))(\( 1 + 9 T + 56 T^{2} + 301 T^{3} + 1767 T^{4} + 6587 T^{5} + 21741 T^{6} + 59512 T^{7} + 176050 T^{8} - 235799 T^{9} - 2172511 T^{10} - 14806904 T^{11} - 47393635 T^{12} - 251717368 T^{13} - 627855679 T^{14} - 1158480487 T^{15} + 14703872050 T^{16} + 84498529784 T^{17} + 524774887629 T^{18} + 2702900839051 T^{19} + 12326163398247 T^{20} + 35694950825597 T^{21} + 112895658425144 T^{22} + 308447066768697 T^{23} + 582622237229761 T^{24} \))(\( 1 - 13 T + 57 T^{2} - 90 T^{3} + 130 T^{4} - 1839 T^{5} + 13587 T^{6} - 37153 T^{7} + 33085 T^{8} - 484050 T^{9} + 3383243 T^{10} - 18760419 T^{11} + 93412096 T^{12} - 186768440 T^{13} + 237466610 T^{14} - 1713473208 T^{15} + 7309769799 T^{16} - 29129044536 T^{17} + 68627850290 T^{18} - 917593345720 T^{19} + 7801871670016 T^{20} - 26637112240083 T^{21} + 81663261356267 T^{22} - 198624434665650 T^{23} + 230792934935485 T^{24} - 4405895375493041 T^{25} + 27391309125400563 T^{26} - 63026017309737087 T^{27} + 75740890839868930 T^{28} - 891412022961534330 T^{29} + 9597536113885852953 T^{30} - 37211499669627605309 T^{31} + 48661191875666868481 T^{32} \))(\( 1 - 7 T - 43 T^{2} + 480 T^{3} + 310 T^{4} - 12321 T^{5} + 737 T^{6} + 194683 T^{7} + 492995 T^{8} - 4115250 T^{9} - 17259567 T^{10} + 83354439 T^{11} + 333600526 T^{12} - 701862870 T^{13} - 8303246780 T^{14} + 751679278 T^{15} + 182420007579 T^{16} + 12778547726 T^{17} - 2399638319420 T^{18} - 3448252280310 T^{19} + 27862649532046 T^{20} + 118351383695223 T^{21} - 416603989372623 T^{22} - 1688646224063250 T^{23} + 3439013539625795 T^{24} + 23087043560065451 T^{25} + 1485787504630913 T^{26} - 422264034406346193 T^{27} + 180612893541225910 T^{28} + 4754197455794849760 T^{29} - 7240246542054239947 T^{30} - 20036961360568710551 T^{31} + 48661191875666868481 T^{32} \))(\( 1 + 10 T + 58 T^{2} + 350 T^{3} + 1995 T^{4} + 9610 T^{5} + 46608 T^{6} + 223220 T^{7} + 957969 T^{8} + 3794740 T^{9} + 13469712 T^{10} + 47213930 T^{11} + 166624395 T^{12} + 496949950 T^{13} + 1399979002 T^{14} + 4103386730 T^{15} + 6975757441 T^{16} \))(\( ( 1 - 289 T^{4} + 83521 T^{8} - 24137569 T^{12} + 6975757441 T^{16} )^{2} \))(\( ( 1 - 289 T^{4} + 83521 T^{8} - 24137569 T^{12} + 6975757441 T^{16} )^{2} \))
$19$ (\( 1 - 4 T + 19 T^{2} \))(\( 1 + 7 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 - 8 T + 19 T^{2} \))(\( 1 - T + 19 T^{2} \))(\( 1 - T + 19 T^{2} \))(\( 1 - 8 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 + 7 T + 19 T^{2} \))(\( ( 1 - 2 T + 19 T^{2} )^{2} \))(\( ( 1 + 2 T - 15 T^{2} + 38 T^{3} + 361 T^{4} )^{2} \))(\( ( 1 + 4 T + 19 T^{2} )^{4} \))(\( ( 1 + 2 T - 15 T^{2} + 38 T^{3} + 361 T^{4} )^{2} \))(\( ( 1 + 2 T + 40 T^{2} + 42 T^{3} + 766 T^{4} + 798 T^{5} + 14440 T^{6} + 13718 T^{7} + 130321 T^{8} )^{2} \))(\( ( 1 + 2 T + 40 T^{2} + 42 T^{3} + 766 T^{4} + 798 T^{5} + 14440 T^{6} + 13718 T^{7} + 130321 T^{8} )^{2} \))(\( ( 1 + T + 38 T^{2} + 63 T^{3} + 722 T^{4} + 361 T^{5} + 6859 T^{6} )^{4} \))(\( ( 1 + T + 38 T^{2} + 63 T^{3} + 722 T^{4} + 361 T^{5} + 6859 T^{6} )^{4} \))(\( ( 1 - 4 T + 34 T^{2} - 76 T^{3} + 361 T^{4} )^{8} \))(\( 1 - 22 T^{2} + 361 T^{4} \))(\( 1 - 22 T^{2} + 361 T^{4} \))(\( 1 - 22 T^{2} + 361 T^{4} \))(\( 1 - 22 T^{2} + 361 T^{4} \))(\( 1 - 74 T^{2} + 2647 T^{4} - 60620 T^{6} + 955567 T^{8} - 9643754 T^{10} + 47045881 T^{12} \))(\( 1 - 74 T^{2} + 2647 T^{4} - 60620 T^{6} + 955567 T^{8} - 9643754 T^{10} + 47045881 T^{12} \))(\( 1 - 36 T^{2} + 1546 T^{4} - 35120 T^{6} + 832243 T^{8} - 12678320 T^{10} + 201476266 T^{12} - 1693651716 T^{14} + 16983563041 T^{16} \))(\( 1 - 36 T^{2} + 1546 T^{4} - 35120 T^{6} + 832243 T^{8} - 12678320 T^{10} + 201476266 T^{12} - 1693651716 T^{14} + 16983563041 T^{16} \))(\( ( 1 + T + 19 T^{2} )^{2} \))(\( ( 1 - 4 T + 19 T^{2} )^{2} \))(\( ( 1 + 4 T + 19 T^{2} )^{2} \))(\( ( 1 - 7 T + 19 T^{2} )^{2} \))(\( ( 1 - 4 T + 19 T^{2} )^{2} \))(\( 1 - 22 T^{2} + 361 T^{4} \))(\( 1 - 22 T^{2} + 361 T^{4} \))(\( 1 - 74 T^{2} + 2647 T^{4} - 60620 T^{6} + 955567 T^{8} - 9643754 T^{10} + 47045881 T^{12} \))(\( 1 - 36 T^{2} + 1546 T^{4} - 35120 T^{6} + 832243 T^{8} - 12678320 T^{10} + 201476266 T^{12} - 1693651716 T^{14} + 16983563041 T^{16} \))(\( 1 - 36 T^{2} + 1546 T^{4} - 35120 T^{6} + 832243 T^{8} - 12678320 T^{10} + 201476266 T^{12} - 1693651716 T^{14} + 16983563041 T^{16} \))(\( ( 1 - 54 T^{2} + 1367 T^{4} - 25652 T^{6} + 493487 T^{8} - 7037334 T^{10} + 47045881 T^{12} )^{2} \))(\( ( 1 + 2 T + 19 T^{2} )^{4} \))(\( ( 1 - 2 T - 15 T^{2} - 38 T^{3} + 361 T^{4} )^{4} \))(\( ( 1 - 2 T + 40 T^{2} - 42 T^{3} + 766 T^{4} - 798 T^{5} + 14440 T^{6} - 13718 T^{7} + 130321 T^{8} )^{4} \))(\( ( 1 - 2 T + 40 T^{2} - 42 T^{3} + 766 T^{4} - 798 T^{5} + 14440 T^{6} - 13718 T^{7} + 130321 T^{8} )^{4} \))(\( ( 1 - 22 T^{2} + 361 T^{4} )^{2} \))(\( 1 - 52 T^{2} + 1270 T^{4} - 18772 T^{6} + 130321 T^{8} \))(\( 1 - 52 T^{2} + 1270 T^{4} - 18772 T^{6} + 130321 T^{8} \))(\( ( 1 - 22 T^{2} + 361 T^{4} )^{2} \))(\( ( 1 - 22 T^{2} + 361 T^{4} )^{2} \))(\( ( 1 - 2 T^{2} + 195 T^{4} - 722 T^{6} + 130321 T^{8} )^{4} \))(\( ( 1 - 40 T^{2} + 1054 T^{4} - 14440 T^{6} + 130321 T^{8} )^{4} \))(\( ( 1 + 19 T^{2} )^{4} \))(\( ( 1 + 19 T^{2} )^{4} \))(\( ( 1 + 26 T^{2} + 361 T^{4} )^{2} \))(\( ( 1 + 26 T^{2} + 361 T^{4} )^{2} \))(\( ( 1 + 26 T^{2} + 361 T^{4} )^{2} \))(\( ( 1 + 26 T^{2} + 361 T^{4} )^{2} \))(\( ( 1 + 19 T^{2} )^{4} \))(\( ( 1 + 19 T^{2} )^{4} \))(\( ( 1 - 22 T^{2} + 361 T^{4} )^{4} \))(\( 1 - 2 T - 15 T^{2} + 68 T^{3} + 149 T^{4} + 1292 T^{5} - 5415 T^{6} - 13718 T^{7} + 130321 T^{8} \))(\( 1 - 6 T + 57 T^{2} - 208 T^{3} + 1365 T^{4} - 3952 T^{5} + 20577 T^{6} - 41154 T^{7} + 130321 T^{8} \))(\( 1 + 5 T - 14 T^{2} - 262 T^{3} - 1075 T^{4} + 156 T^{5} + 17589 T^{6} + 85348 T^{7} + 375178 T^{8} + 1678272 T^{9} + 1420607 T^{10} - 42381161 T^{11} - 307298281 T^{12} - 805242059 T^{13} + 512839127 T^{14} + 11511267648 T^{15} + 48893572138 T^{16} + 211330097452 T^{17} + 827490000909 T^{18} + 139443991284 T^{19} - 18257330269075 T^{20} - 84544176818098 T^{21} - 85834927609214 T^{22} + 582451294491095 T^{23} + 2213314919066161 T^{24} \))(\( 1 - 13 T + 12 T^{2} + 610 T^{3} - 3027 T^{4} - 6150 T^{5} + 89493 T^{6} - 161318 T^{7} - 951074 T^{8} + 4384514 T^{9} + 903657 T^{10} - 31608609 T^{11} + 72479727 T^{12} - 600563571 T^{13} + 326220177 T^{14} + 30073381526 T^{15} - 123944914754 T^{16} - 399439338482 T^{17} + 4210277028333 T^{18} - 5497311194850 T^{19} - 51409245325107 T^{20} + 196839495645190 T^{21} + 73572795093612 T^{22} - 1514373365676847 T^{23} + 2213314919066161 T^{24} \))(\( 1 - 5 T - 39 T^{2} + 215 T^{3} + 280 T^{4} - 5315 T^{5} + 31825 T^{6} + 51635 T^{7} - 1118475 T^{8} + 1469075 T^{9} + 13970093 T^{10} - 93610155 T^{11} + 95830688 T^{12} + 2295472240 T^{13} - 6975771270 T^{14} - 20393464950 T^{15} + 158761701125 T^{16} - 387475834050 T^{17} - 2518253428470 T^{18} + 15744644094160 T^{19} + 12488751090848 T^{20} - 231788011185345 T^{21} + 657235332836933 T^{22} + 1313164624971425 T^{23} - 18995690672282475 T^{24} + 16661979274818665 T^{25} + 195121183654516825 T^{26} - 619145726044033985 T^{27} + 619728177338525080 T^{28} + 9041391444385267685 T^{29} - 31161260745532480719 T^{30} - 75905635149373991495 T^{31} + \)\(28\!\cdots\!81\)\( T^{32} \))(\( 1 + 9 T + 59 T^{2} + 465 T^{3} + 3250 T^{4} + 20297 T^{5} + 121883 T^{6} + 683413 T^{7} + 3822695 T^{8} + 20788535 T^{9} + 106161565 T^{10} + 528992855 T^{11} + 2587699510 T^{12} + 12357377510 T^{13} + 57717917530 T^{14} + 259297036500 T^{15} + 1134321908385 T^{16} + 4926643693500 T^{17} + 20836168228330 T^{18} + 84759252341090 T^{19} + 337231587842710 T^{20} + 1309838679272645 T^{21} + 4994464353763765 T^{22} + 18582283931712365 T^{23} + 64922981519015495 T^{24} + 220528967602239727 T^{25} + 747272748699559283 T^{26} + 2364402784857151043 T^{27} + 7193273486965023250 T^{28} + 19554637309949532435 T^{29} + 47141394461190163139 T^{30} + \)\(13\!\cdots\!91\)\( T^{31} + \)\(28\!\cdots\!81\)\( T^{32} \))(\( 1 + 4 T - 26 T^{2} - 106 T^{3} - 109 T^{4} - 668 T^{5} + 9806 T^{6} + 24452 T^{7} - 179843 T^{8} + 464588 T^{9} + 3539966 T^{10} - 4581812 T^{11} - 14204989 T^{12} - 262466494 T^{13} - 1223192906 T^{14} + 3575486956 T^{15} + 16983563041 T^{16} \))(\( ( 1 - 19 T^{2} + 361 T^{4} - 6859 T^{6} + 130321 T^{8} )^{4} \))(\( ( 1 - 19 T^{2} + 361 T^{4} - 6859 T^{6} + 130321 T^{8} )^{4} \))
$23$ (\( 1 - 8 T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 - 2 T + 23 T^{2} \))(\( 1 + 2 T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 - 8 T + 23 T^{2} \))(\( 1 - 6 T + 23 T^{2} \))(\( ( 1 + 23 T^{2} )^{2} \))(\( ( 1 + 23 T^{2} )^{4} \))(\( ( 1 - 34 T^{2} + 529 T^{4} )^{2} \))(\( ( 1 + 23 T^{2} )^{4} \))(\( ( 1 - 2 T + 48 T^{2} + 50 T^{3} + 958 T^{4} + 1150 T^{5} + 25392 T^{6} - 24334 T^{7} + 279841 T^{8} )^{2} \))(\( ( 1 + 2 T + 48 T^{2} - 50 T^{3} + 958 T^{4} - 1150 T^{5} + 25392 T^{6} + 24334 T^{7} + 279841 T^{8} )^{2} \))(\( ( 1 + 34 T^{2} + 503 T^{4} + 2412 T^{6} + 266087 T^{8} + 9514594 T^{10} + 148035889 T^{12} )^{2} \))(\( ( 1 + 34 T^{2} + 503 T^{4} + 2412 T^{6} + 266087 T^{8} + 9514594 T^{10} + 148035889 T^{12} )^{2} \))(\( ( 1 + 84 T^{2} + 2814 T^{4} + 44436 T^{6} + 279841 T^{8} )^{4} \))(\( 1 - 30 T^{2} + 529 T^{4} \))(\( 1 - 30 T^{2} + 529 T^{4} \))(\( 1 - 30 T^{2} + 529 T^{4} \))(\( 1 - 30 T^{2} + 529 T^{4} \))(\( 1 - 98 T^{2} + 4527 T^{4} - 128636 T^{6} + 2394783 T^{8} - 27424418 T^{10} + 148035889 T^{12} \))(\( 1 - 98 T^{2} + 4527 T^{4} - 128636 T^{6} + 2394783 T^{8} - 27424418 T^{10} + 148035889 T^{12} \))(\( 1 - 56 T^{2} + 1324 T^{4} - 36616 T^{6} + 1094310 T^{8} - 19369864 T^{10} + 370509484 T^{12} - 8290009784 T^{14} + 78310985281 T^{16} \))(\( 1 - 56 T^{2} + 1324 T^{4} - 36616 T^{6} + 1094310 T^{8} - 19369864 T^{10} + 370509484 T^{12} - 8290009784 T^{14} + 78310985281 T^{16} \))(\( 1 - 42 T^{2} + 529 T^{4} \))(\( ( 1 - 23 T^{2} )^{2} \))(\( 1 + 18 T^{2} + 529 T^{4} \))(\( 1 - 10 T^{2} + 529 T^{4} \))(\( 1 + 18 T^{2} + 529 T^{4} \))(\( ( 1 - 4 T + 23 T^{2} )^{2} \))(\( ( 1 + 4 T + 23 T^{2} )^{2} \))(\( ( 1 - 4 T + 57 T^{2} - 168 T^{3} + 1311 T^{4} - 2116 T^{5} + 12167 T^{6} )^{2} \))(\( ( 1 - 4 T + 36 T^{2} - 124 T^{3} + 510 T^{4} - 2852 T^{5} + 19044 T^{6} - 48668 T^{7} + 279841 T^{8} )^{2} \))(\( ( 1 + 4 T + 36 T^{2} + 124 T^{3} + 510 T^{4} + 2852 T^{5} + 19044 T^{6} + 48668 T^{7} + 279841 T^{8} )^{2} \))(\( ( 1 + 46 T^{2} + 1775 T^{4} + 40932 T^{6} + 938975 T^{8} + 12872686 T^{10} + 148035889 T^{12} )^{2} \))(\( ( 1 - 23 T^{2} )^{4} \))(\( ( 1 - 23 T^{2} )^{8} \))(\( ( 1 - 92 T^{2} + 4420 T^{4} - 144852 T^{6} + 3702742 T^{8} - 76626708 T^{10} + 1236897220 T^{12} - 13619301788 T^{14} + 78310985281 T^{16} )^{2} \))(\( ( 1 - 92 T^{2} + 4420 T^{4} - 144852 T^{6} + 3702742 T^{8} - 76626708 T^{10} + 1236897220 T^{12} - 13619301788 T^{14} + 78310985281 T^{16} )^{2} \))(\( 1 - 958 T^{4} + 279841 T^{8} \))(\( 1 - 12 T + 72 T^{2} - 444 T^{3} + 2542 T^{4} - 10212 T^{5} + 38088 T^{6} - 146004 T^{7} + 279841 T^{8} \))(\( 1 + 12 T + 72 T^{2} + 444 T^{3} + 2542 T^{4} + 10212 T^{5} + 38088 T^{6} + 146004 T^{7} + 279841 T^{8} \))(\( 1 - 158 T^{4} + 279841 T^{8} \))(\( 1 - 958 T^{4} + 279841 T^{8} \))(\( ( 1 + 292 T^{4} + 504966 T^{8} + 81713572 T^{12} + 78310985281 T^{16} )^{2} \))(\( ( 1 + 612 T^{4} + 300806 T^{8} + 171262692 T^{12} + 78310985281 T^{16} )^{2} \))(\( ( 1 - 8 T + 32 T^{2} - 184 T^{3} + 529 T^{4} )^{2} \))(\( ( 1 + 529 T^{4} )^{2} \))(\( ( 1 + 2 T + 2 T^{2} + 46 T^{3} + 529 T^{4} )^{2} \))(\( ( 1 + 2 T + 2 T^{2} + 46 T^{3} + 529 T^{4} )^{2} \))(\( ( 1 - 2 T + 2 T^{2} - 46 T^{3} + 529 T^{4} )^{2} \))(\( ( 1 - 2 T + 2 T^{2} - 46 T^{3} + 529 T^{4} )^{2} \))(\( ( 1 + 8 T + 32 T^{2} + 184 T^{3} + 529 T^{4} )^{2} \))(\( ( 1 + 529 T^{4} )^{2} \))(\( ( 1 + 98 T^{4} + 279841 T^{8} )^{2} \))(\( 1 - 4 T - 7 T^{2} - 70 T^{3} + 821 T^{4} - 1610 T^{5} - 3703 T^{6} - 48668 T^{7} + 279841 T^{8} \))(\( 1 + 8 T + T^{2} - 146 T^{3} - 651 T^{4} - 3358 T^{5} + 529 T^{6} + 97336 T^{7} + 279841 T^{8} \))(\( 1 + 21 T + 147 T^{2} + 304 T^{3} - 45 T^{4} + 6472 T^{5} + 69389 T^{6} + 428704 T^{7} + 1109722 T^{8} - 3708412 T^{9} - 5468047 T^{10} + 190296717 T^{11} + 1275869917 T^{12} + 4376824491 T^{13} - 2892596863 T^{14} - 45120248804 T^{15} + 310545714202 T^{16} + 2759285989472 T^{17} + 10272062301821 T^{18} + 22036030292984 T^{19} - 3523994337645 T^{20} + 547550409084752 T^{21} + 6089697148406403 T^{22} + 20009004916192467 T^{23} + 21914624432020321 T^{24} \))(\( 1 + 13 T + 89 T^{2} + 420 T^{3} + 2339 T^{4} + 8618 T^{5} - 4227 T^{6} - 170392 T^{7} - 365190 T^{8} - 340698 T^{9} + 401543 T^{10} + 114211899 T^{11} + 980532953 T^{12} + 2626873677 T^{13} + 212416247 T^{14} - 4145272566 T^{15} - 102195134790 T^{16} - 1096701356456 T^{17} - 625747702803 T^{18} + 29342785702246 T^{19} + 183169394572259 T^{20} + 756484117814460 T^{21} + 3686959498014761 T^{22} + 12386526852881051 T^{23} + 21914624432020321 T^{24} \))(\( 1 + 5 T - 4 T^{2} - 145 T^{3} - 911 T^{4} + 6545 T^{5} + 61466 T^{6} + 68185 T^{7} - 733294 T^{8} - 6642215 T^{9} + 9860918 T^{10} + 249677375 T^{11} + 356349836 T^{12} - 1742510390 T^{13} - 14780938652 T^{14} + 16690347040 T^{15} + 643081694787 T^{16} + 383877981920 T^{17} - 7819116546908 T^{18} - 21201123915130 T^{19} + 99721294456076 T^{20} + 1607009224839625 T^{21} + 1459769762486102 T^{22} - 22615582656445105 T^{23} - 57424975640645614 T^{24} + 122811594221854655 T^{25} + 2546321938258149434 T^{26} + 6236139865546652215 T^{27} - 19964222857570512431 T^{28} - 73085272480787770535 T^{29} - 46371345298154999236 T^{30} + \)\(13\!\cdots\!35\)\( T^{31} + \)\(61\!\cdots\!61\)\( T^{32} \))(\( 1 - 7 T + 18 T^{2} - 185 T^{3} + 1275 T^{4} + 219 T^{5} + 7872 T^{6} - 128593 T^{7} - 238160 T^{8} + 238305 T^{9} + 14293086 T^{10} + 66698093 T^{11} - 267059082 T^{12} - 825155350 T^{13} - 14228212020 T^{14} + 66894055496 T^{15} + 33284202043 T^{16} + 1538563276408 T^{17} - 7526724158580 T^{18} - 10039665143450 T^{19} - 74734080565962 T^{20} + 429291803993899 T^{21} + 2115889692563454 T^{22} + 811386928147335 T^{23} - 18650544254522960 T^{24} - 231615624195511559 T^{25} + 326109496273844928 T^{26} + 208665336983150013 T^{27} + 27941146150825909275 T^{28} - 93246726958246465855 T^{29} + \)\(20\!\cdots\!62\)\( T^{30} - \)\(18\!\cdots\!49\)\( T^{31} + \)\(61\!\cdots\!61\)\( T^{32} \))(\( 1 - 30 T + 420 T^{2} - 3630 T^{3} + 22471 T^{4} - 119730 T^{5} + 677240 T^{6} - 4045400 T^{7} + 21431541 T^{8} - 93044200 T^{9} + 358259960 T^{10} - 1456754910 T^{11} + 6288307111 T^{12} - 23363925090 T^{13} + 62175073380 T^{14} - 102144763410 T^{15} + 78310985281 T^{16} \))(\( ( 1 - 529 T^{4} + 279841 T^{8} - 148035889 T^{12} + 78310985281 T^{16} )^{2} \))(\( ( 1 - 529 T^{4} + 279841 T^{8} - 148035889 T^{12} + 78310985281 T^{16} )^{2} \))
$29$ (\( 1 + 6 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 - 8 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 - 8 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( ( 1 + 29 T^{2} )^{2} \))(\( ( 1 + 29 T^{2} )^{4} \))(\( ( 1 + 29 T^{2} )^{4} \))(\( ( 1 + 29 T^{2} )^{4} \))(\( ( 1 + 52 T^{2} - 112 T^{3} + 1286 T^{4} - 3248 T^{5} + 43732 T^{6} + 707281 T^{8} )^{2} \))(\( ( 1 + 52 T^{2} + 112 T^{3} + 1286 T^{4} + 3248 T^{5} + 43732 T^{6} + 707281 T^{8} )^{2} \))(\( ( 1 + 34 T^{2} + 2127 T^{4} + 58156 T^{6} + 1788807 T^{8} + 24047554 T^{10} + 594823321 T^{12} )^{2} \))(\( ( 1 + 34 T^{2} + 2127 T^{4} + 58156 T^{6} + 1788807 T^{8} + 24047554 T^{10} + 594823321 T^{12} )^{2} \))(\( ( 1 + 76 T^{2} + 2838 T^{4} + 63916 T^{6} + 707281 T^{8} )^{4} \))(\( 1 - 22 T^{2} + 841 T^{4} \))(\( 1 - 22 T^{2} + 841 T^{4} \))(\( 1 - 22 T^{2} + 841 T^{4} \))(\( 1 - 22 T^{2} + 841 T^{4} \))(\( ( 1 - 54 T^{2} + 841 T^{4} )^{3} \))(\( ( 1 - 54 T^{2} + 841 T^{4} )^{3} \))(\( 1 - 88 T^{2} + 4780 T^{4} - 171048 T^{6} + 5385990 T^{8} - 143851368 T^{10} + 3380803180 T^{12} - 52344452248 T^{14} + 500246412961 T^{16} \))(\( 1 - 88 T^{2} + 4780 T^{4} - 171048 T^{6} + 5385990 T^{8} - 143851368 T^{10} + 3380803180 T^{12} - 52344452248 T^{14} + 500246412961 T^{16} \))(\( ( 1 + 6 T + 29 T^{2} )^{2} \))(\( ( 1 - 2 T + 29 T^{2} )^{2} \))(\( ( 1 - 6 T + 29 T^{2} )^{2} \))(\( ( 1 - 2 T + 29 T^{2} )^{2} \))(\( ( 1 + 6 T + 29 T^{2} )^{2} \))(\( 1 - 22 T^{2} + 841 T^{4} \))(\( 1 - 22 T^{2} + 841 T^{4} \))(\( ( 1 - 54 T^{2} + 841 T^{4} )^{3} \))(\( 1 - 88 T^{2} + 4780 T^{4} - 171048 T^{6} + 5385990 T^{8} - 143851368 T^{10} + 3380803180 T^{12} - 52344452248 T^{14} + 500246412961 T^{16} \))(\( 1 - 88 T^{2} + 4780 T^{4} - 171048 T^{6} + 5385990 T^{8} - 143851368 T^{10} + 3380803180 T^{12} - 52344452248 T^{14} + 500246412961 T^{16} \))(\( ( 1 - 66 T^{2} + 3207 T^{4} - 111228 T^{6} + 2697087 T^{8} - 46680546 T^{10} + 594823321 T^{12} )^{2} \))(\( ( 1 + 29 T^{2} )^{4} \))(\( ( 1 + 29 T^{2} )^{8} \))(\( ( 1 + 52 T^{2} - 112 T^{3} + 1286 T^{4} - 3248 T^{5} + 43732 T^{6} + 707281 T^{8} )^{4} \))(\( ( 1 + 52 T^{2} + 112 T^{3} + 1286 T^{4} + 3248 T^{5} + 43732 T^{6} + 707281 T^{8} )^{4} \))(\( ( 1 + 26 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 - 4 T + 30 T^{2} - 116 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 + 4 T + 30 T^{2} + 116 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 + 56 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 + 26 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 + 4 T^{2} - 426 T^{4} + 3364 T^{6} + 707281 T^{8} )^{4} \))(\( ( 1 + 4 T^{2} + 598 T^{4} + 3364 T^{6} + 707281 T^{8} )^{4} \))(\( ( 1 + 38 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 - 4 T + 8 T^{2} - 116 T^{3} + 841 T^{4} )( 1 + 4 T + 8 T^{2} + 116 T^{3} + 841 T^{4} ) \))(\( ( 1 - 46 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 - 46 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 - 46 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 - 46 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 + 38 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 - 4 T + 8 T^{2} - 116 T^{3} + 841 T^{4} )( 1 + 4 T + 8 T^{2} + 116 T^{3} + 841 T^{4} ) \))(\( ( 1 - 29 T^{2} )^{8} \))(\( 1 + 8 T + 5 T^{2} + 48 T^{3} + 1049 T^{4} + 1392 T^{5} + 4205 T^{6} + 195112 T^{7} + 707281 T^{8} \))(\( 1 - 16 T + 77 T^{2} + 32 T^{3} - 1495 T^{4} + 928 T^{5} + 64757 T^{6} - 390224 T^{7} + 707281 T^{8} \))(\( 1 - 11 T - 3 T^{2} + 471 T^{3} - 729 T^{4} - 16676 T^{5} + 43881 T^{6} + 634578 T^{7} - 3234146 T^{8} - 12396306 T^{9} + 130950787 T^{10} + 33717118 T^{11} - 3322485101 T^{12} + 977796422 T^{13} + 110129611867 T^{14} - 302333507034 T^{15} - 2287450017026 T^{16} + 13015923910122 T^{17} + 26101442148801 T^{18} - 287658937328884 T^{19} - 364679635048569 T^{20} + 6832865754634299 T^{21} - 1262121699900603 T^{22} - 134205607422764119 T^{23} + 353814783205469041 T^{24} \))(\( 1 - T - 43 T^{2} + 211 T^{3} + 1111 T^{4} - 9536 T^{5} - 15469 T^{6} + 316508 T^{7} - 802396 T^{8} - 8394186 T^{9} + 63791027 T^{10} + 119538108 T^{11} - 1988796801 T^{12} + 3466605132 T^{13} + 53648253707 T^{14} - 204725802354 T^{15} - 567519445276 T^{16} + 6491942747692 T^{17} - 9201321952549 T^{18} - 164494820482624 T^{19} + 555773764799671 T^{20} + 3061007800908359 T^{21} - 18090411031908643 T^{22} - 12200509765705829 T^{23} + 353814783205469041 T^{24} \))(\( 1 - 5 T + 106 T^{2} - 700 T^{3} + 7085 T^{4} - 57360 T^{5} + 426730 T^{6} - 3320200 T^{7} + 22628010 T^{8} - 157386920 T^{9} + 1016655838 T^{10} - 6550798255 T^{11} + 39847000408 T^{12} - 239055564180 T^{13} + 1395442006570 T^{14} - 7652897653360 T^{15} + 43199019294085 T^{16} - 221934031947440 T^{17} + 1173566727525370 T^{18} - 5830326154786020 T^{19} + 28183026295570648 T^{20} - 134364399077244995 T^{21} + 604730601873197998 T^{22} - 2714904902654478280 T^{23} + 11319580834945637610 T^{24} - 48166626069080253800 T^{25} + \)\(17\!\cdots\!30\)\( T^{26} - \)\(69\!\cdots\!40\)\( T^{27} + \)\(25\!\cdots\!85\)\( T^{28} - \)\(71\!\cdots\!00\)\( T^{29} + \)\(31\!\cdots\!86\)\( T^{30} - \)\(43\!\cdots\!45\)\( T^{31} + \)\(25\!\cdots\!21\)\( T^{32} \))(\( 1 + 29 T + 314 T^{2} + 1010 T^{3} - 8695 T^{4} - 78498 T^{5} + 153708 T^{6} + 4701088 T^{7} + 16148110 T^{8} - 94238920 T^{9} - 808475850 T^{10} + 296577985 T^{11} + 23741710500 T^{12} + 78105755530 T^{13} - 110980575010 T^{14} - 571114582970 T^{15} + 1806517936725 T^{16} - 16562322906130 T^{17} - 93334663583410 T^{18} + 1904921271621170 T^{19} + 16792060744150500 T^{20} + 6083155240454765 T^{21} - 480900290045297850 T^{22} - 1625609713493746280 T^{23} + 8078034103599653710 T^{24} + 68199369861406045472 T^{25} + 64666067416107295308 T^{26} - \)\(95\!\cdots\!42\)\( T^{27} - \)\(30\!\cdots\!95\)\( T^{28} + \)\(10\!\cdots\!90\)\( T^{29} + \)\(93\!\cdots\!34\)\( T^{30} + \)\(25\!\cdots\!21\)\( T^{31} + \)\(25\!\cdots\!21\)\( T^{32} \))(\( 1 + 14 T + 74 T^{2} + 394 T^{3} + 3971 T^{4} + 19742 T^{5} + 24416 T^{6} + 212732 T^{7} + 2680817 T^{8} + 6169228 T^{9} + 20533856 T^{10} + 481487638 T^{11} + 2808612851 T^{12} + 8081392706 T^{13} + 44016925754 T^{14} + 241498268326 T^{15} + 500246412961 T^{16} \))(\( ( 1 - 4 T + 8 T^{2} - 116 T^{3} + 23 T^{4} - 9164 T^{5} + 43200 T^{6} - 4600 T^{7} + 716481 T^{8} - 133400 T^{9} + 36331200 T^{10} - 223500796 T^{11} + 16267463 T^{12} - 2379293284 T^{13} + 4758586568 T^{14} - 68999505236 T^{15} + 500246412961 T^{16} )( 1 + 4 T + 8 T^{2} + 116 T^{3} + 23 T^{4} + 9164 T^{5} + 43200 T^{6} + 4600 T^{7} + 716481 T^{8} + 133400 T^{9} + 36331200 T^{10} + 223500796 T^{11} + 16267463 T^{12} + 2379293284 T^{13} + 4758586568 T^{14} + 68999505236 T^{15} + 500246412961 T^{16} ) \))(\( ( 1 - 4 T + 8 T^{2} - 116 T^{3} + 23 T^{4} - 9164 T^{5} + 43200 T^{6} - 4600 T^{7} + 716481 T^{8} - 133400 T^{9} + 36331200 T^{10} - 223500796 T^{11} + 16267463 T^{12} - 2379293284 T^{13} + 4758586568 T^{14} - 68999505236 T^{15} + 500246412961 T^{16} )( 1 + 4 T + 8 T^{2} + 116 T^{3} + 23 T^{4} + 9164 T^{5} + 43200 T^{6} + 4600 T^{7} + 716481 T^{8} + 133400 T^{9} + 36331200 T^{10} + 223500796 T^{11} + 16267463 T^{12} + 2379293284 T^{13} + 4758586568 T^{14} + 68999505236 T^{15} + 500246412961 T^{16} ) \))
$31$ (\( 1 + 31 T^{2} \))(\( 1 + 5 T + 31 T^{2} \))(\( 1 + 8 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 - 3 T + 31 T^{2} \))(\( 1 - 3 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 + 5 T + 31 T^{2} \))(\( ( 1 - 31 T^{2} )^{2} \))(\( ( 1 - 31 T^{2} )^{4} \))(\( ( 1 - 8 T + 31 T^{2} )^{2}( 1 + 8 T + 31 T^{2} )^{2} \))(\( ( 1 - 31 T^{2} )^{4} \))(\( 1 - 108 T^{2} + 5412 T^{4} - 170900 T^{6} + 4790966 T^{8} - 164234900 T^{10} + 4998095652 T^{12} - 95850397548 T^{14} + 852891037441 T^{16} \))(\( 1 - 108 T^{2} + 5412 T^{4} - 170900 T^{6} + 4790966 T^{8} - 164234900 T^{10} + 4998095652 T^{12} - 95850397548 T^{14} + 852891037441 T^{16} \))(\( ( 1 - 88 T^{2} + 5232 T^{4} - 186430 T^{6} + 5027952 T^{8} - 81269848 T^{10} + 887503681 T^{12} )^{2} \))(\( ( 1 - 88 T^{2} + 5232 T^{4} - 186430 T^{6} + 5027952 T^{8} - 81269848 T^{10} + 887503681 T^{12} )^{2} \))(\( ( 1 - 76 T^{2} + 2854 T^{4} - 73036 T^{6} + 923521 T^{8} )^{4} \))(\( ( 1 - 10 T + 31 T^{2} )^{2} \))(\( ( 1 - 2 T + 31 T^{2} )^{2} \))(\( ( 1 - 2 T + 31 T^{2} )^{2} \))(\( ( 1 - 10 T + 31 T^{2} )^{2} \))(\( ( 1 + 6 T + 77 T^{2} + 308 T^{3} + 2387 T^{4} + 5766 T^{5} + 29791 T^{6} )^{2} \))(\( ( 1 + 6 T + 77 T^{2} + 308 T^{3} + 2387 T^{4} + 5766 T^{5} + 29791 T^{6} )^{2} \))(\( ( 1 - 4 T + 54 T^{2} - 168 T^{3} + 2099 T^{4} - 5208 T^{5} + 51894 T^{6} - 119164 T^{7} + 923521 T^{8} )^{2} \))(\( ( 1 - 4 T + 54 T^{2} - 168 T^{3} + 2099 T^{4} - 5208 T^{5} + 51894 T^{6} - 119164 T^{7} + 923521 T^{8} )^{2} \))(\( ( 1 - 3 T + 31 T^{2} )^{2} \))(\( ( 1 + 8 T + 31 T^{2} )^{2} \))(\( ( 1 + 31 T^{2} )^{2} \))(\( ( 1 + 5 T + 31 T^{2} )^{2} \))(\( ( 1 - 8 T + 31 T^{2} )^{2} \))(\( ( 1 - 10 T + 31 T^{2} )^{2} \))(\( ( 1 - 2 T + 31 T^{2} )^{2} \))(\( ( 1 + 6 T + 77 T^{2} + 308 T^{3} + 2387 T^{4} + 5766 T^{5} + 29791 T^{6} )^{2} \))(\( ( 1 - 4 T + 54 T^{2} - 168 T^{3} + 2099 T^{4} - 5208 T^{5} + 51894 T^{6} - 119164 T^{7} + 923521 T^{8} )^{2} \))(\( ( 1 - 4 T + 54 T^{2} - 168 T^{3} + 2099 T^{4} - 5208 T^{5} + 51894 T^{6} - 119164 T^{7} + 923521 T^{8} )^{2} \))(\( ( 1 + 8 T + 89 T^{2} + 432 T^{3} + 2759 T^{4} + 7688 T^{5} + 29791 T^{6} )^{4} \))(\( ( 1 - 31 T^{2} )^{4} \))(\( ( 1 - 31 T^{2} )^{8} \))(\( ( 1 - 108 T^{2} + 5412 T^{4} - 170900 T^{6} + 4790966 T^{8} - 164234900 T^{10} + 4998095652 T^{12} - 95850397548 T^{14} + 852891037441 T^{16} )^{2} \))(\( ( 1 - 108 T^{2} + 5412 T^{4} - 170900 T^{6} + 4790966 T^{8} - 164234900 T^{10} + 4998095652 T^{12} - 95850397548 T^{14} + 852891037441 T^{16} )^{2} \))(\( ( 1 - 8 T + 31 T^{2} )^{4} \))(\( ( 1 + 30 T^{2} + 961 T^{4} )^{2} \))(\( ( 1 + 30 T^{2} + 961 T^{4} )^{2} \))(\( ( 1 + 2 T + 31 T^{2} )^{4} \))(\( ( 1 - 8 T + 31 T^{2} )^{4} \))(\( ( 1 + 5 T + 60 T^{2} + 155 T^{3} + 961 T^{4} )^{8} \))(\( ( 1 - 1410 T^{4} + 923521 T^{8} )^{4} \))(\( ( 1 - 2 T + 31 T^{2} )^{4} \))(\( ( 1 + 38 T^{2} + 961 T^{4} )^{2} \))(\( ( 1 + 4 T + 31 T^{2} )^{4} \))(\( ( 1 + 4 T + 31 T^{2} )^{4} \))(\( ( 1 + 4 T + 31 T^{2} )^{4} \))(\( ( 1 + 4 T + 31 T^{2} )^{4} \))(\( ( 1 - 2 T + 31 T^{2} )^{4} \))(\( ( 1 + 38 T^{2} + 961 T^{4} )^{2} \))(\( ( 1 - 8 T + 31 T^{2} )^{8} \))(\( 1 - 10 T + 69 T^{2} - 380 T^{3} + 1661 T^{4} - 11780 T^{5} + 66309 T^{6} - 297910 T^{7} + 923521 T^{8} \))(\( 1 + 10 T + 29 T^{2} + 200 T^{3} + 1981 T^{4} + 6200 T^{5} + 27869 T^{6} + 297910 T^{7} + 923521 T^{8} \))(\( 1 + 19 T + 159 T^{2} + 796 T^{3} + 3571 T^{4} + 6676 T^{5} - 143543 T^{6} - 1492896 T^{7} - 6139862 T^{8} - 18879764 T^{9} - 49205739 T^{10} + 635524935 T^{11} + 7339201749 T^{12} + 19701272985 T^{13} - 47286715179 T^{14} - 562447049324 T^{15} - 5670291494102 T^{16} - 42740345011296 T^{17} - 127394940881783 T^{18} + 183674211805036 T^{19} + 3045673894701811 T^{20} + 21045939239894116 T^{21} + 130320897629947359 T^{22} + 482761061031691789 T^{23} + 787662783788549761 T^{24} \))(\( 1 - 3 T - 59 T^{2} - 90 T^{3} + 3587 T^{4} + 5422 T^{5} - 113547 T^{6} - 406922 T^{7} + 3447098 T^{8} + 12143142 T^{9} - 73216337 T^{10} - 168553043 T^{11} + 1799927837 T^{12} - 5225144333 T^{13} - 70360899857 T^{14} + 361756343322 T^{15} + 3183467392058 T^{16} - 11649831383222 T^{17} - 100773380466507 T^{18} + 149173393709842 T^{19} + 3059320151300867 T^{20} - 2379565994460390 T^{21} - 48358068931867259 T^{22} - 76225430689214493 T^{23} + 787662783788549761 T^{24} \))(\( 1 - 24 T + 143 T^{2} + 863 T^{3} - 11977 T^{4} + 12821 T^{5} + 379234 T^{6} - 2787295 T^{7} + 6292944 T^{8} + 87346444 T^{9} - 779670077 T^{10} + 493917642 T^{11} + 17871987725 T^{12} - 104962001603 T^{13} + 329460211577 T^{14} + 2020489930876 T^{15} - 27102005350932 T^{16} + 62635187857156 T^{17} + 316611263325497 T^{18} - 3126922989754973 T^{19} + 16505155975779725 T^{20} + 14140442754381942 T^{21} - 691960063303053437 T^{22} + 2403129007740071284 T^{23} + 5367195536718116304 T^{24} - 73695026650327474945 T^{25} + \)\(31\!\cdots\!34\)\( T^{26} + \)\(32\!\cdots\!51\)\( T^{27} - \)\(94\!\cdots\!97\)\( T^{28} + \)\(21\!\cdots\!33\)\( T^{29} + \)\(10\!\cdots\!03\)\( T^{30} - \)\(56\!\cdots\!24\)\( T^{31} + \)\(72\!\cdots\!81\)\( T^{32} \))(\( 1 + 2 T + 71 T^{2} + 5 T^{3} + 1325 T^{4} - 12249 T^{5} + 5932 T^{6} - 606659 T^{7} + 1409570 T^{8} - 16344270 T^{9} + 111342935 T^{10} - 490132640 T^{11} + 4534354735 T^{12} - 16429083745 T^{13} + 132345792195 T^{14} - 609966859400 T^{15} + 3715290191160 T^{16} - 18908972641400 T^{17} + 127184306299395 T^{18} - 489438833847295 T^{19} + 4187571819221935 T^{20} - 14032081360588640 T^{21} + 98817264665843735 T^{22} - 449673593435993970 T^{23} + 1202209619645710370 T^{24} - 16039834740370508189 T^{25} + 4862034998370111532 T^{26} - \)\(31\!\cdots\!19\)\( T^{27} + \)\(10\!\cdots\!25\)\( T^{28} + \)\(12\!\cdots\!55\)\( T^{29} + \)\(53\!\cdots\!91\)\( T^{30} + \)\(46\!\cdots\!02\)\( T^{31} + \)\(72\!\cdots\!81\)\( T^{32} \))(\( 1 + 20 T + 238 T^{2} + 2390 T^{3} + 21883 T^{4} + 171220 T^{5} + 1185886 T^{6} + 7628500 T^{7} + 45055805 T^{8} + 236483500 T^{9} + 1139636446 T^{10} + 5100815020 T^{11} + 20209410043 T^{12} + 68423670890 T^{13} + 211225876078 T^{14} + 550252282220 T^{15} + 852891037441 T^{16} \))(\( ( 1 + 38 T^{2} + 961 T^{4} )^{4}( 1 - 38 T^{2} + 483 T^{4} + 18164 T^{6} - 1154395 T^{8} + 17455604 T^{10} + 446060643 T^{12} - 33725139878 T^{14} + 852891037441 T^{16} ) \))(\( ( 1 + 38 T^{2} + 961 T^{4} )^{4}( 1 - 38 T^{2} + 483 T^{4} + 18164 T^{6} - 1154395 T^{8} + 17455604 T^{10} + 446060643 T^{12} - 33725139878 T^{14} + 852891037441 T^{16} ) \))
$37$ (\( 1 - 6 T + 37 T^{2} \))(\( 1 + 10 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 - 10 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 + 10 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 - 10 T + 37 T^{2} \))(\( ( 1 - 37 T^{2} )^{2} \))(\( ( 1 - 37 T^{2} )^{4} \))(\( ( 1 - 37 T^{2} )^{4} \))(\( ( 1 - 37 T^{2} )^{4} \))(\( 1 - 68 T^{2} + 4788 T^{4} - 250460 T^{6} + 9311478 T^{8} - 342879740 T^{10} + 8973482868 T^{12} - 174469395812 T^{14} + 3512479453921 T^{16} \))(\( 1 - 68 T^{2} + 4788 T^{4} - 250460 T^{6} + 9311478 T^{8} - 342879740 T^{10} + 8973482868 T^{12} - 174469395812 T^{14} + 3512479453921 T^{16} \))(\( ( 1 - 114 T^{2} + 7751 T^{4} - 344572 T^{6} + 10611119 T^{8} - 213654354 T^{10} + 2565726409 T^{12} )^{2} \))(\( ( 1 - 114 T^{2} + 7751 T^{4} - 344572 T^{6} + 10611119 T^{8} - 213654354 T^{10} + 2565726409 T^{12} )^{2} \))(\( ( 1 - 84 T^{2} + 3702 T^{4} - 114996 T^{6} + 1874161 T^{8} )^{4} \))(\( ( 1 - 4 T + 37 T^{2} )^{2} \))(\( ( 1 - 8 T + 37 T^{2} )^{2} \))(\( ( 1 + 8 T + 37 T^{2} )^{2} \))(\( ( 1 + 4 T + 37 T^{2} )^{2} \))(\( ( 1 + 4 T + 51 T^{2} + 40 T^{3} + 1887 T^{4} + 5476 T^{5} + 50653 T^{6} )^{2} \))(\( ( 1 - 4 T + 51 T^{2} - 40 T^{3} + 1887 T^{4} - 5476 T^{5} + 50653 T^{6} )^{2} \))(\( ( 1 + 84 T^{2} + 128 T^{3} + 3542 T^{4} + 4736 T^{5} + 114996 T^{6} + 1874161 T^{8} )^{2} \))(\( ( 1 + 84 T^{2} - 128 T^{3} + 3542 T^{4} - 4736 T^{5} + 114996 T^{6} + 1874161 T^{8} )^{2} \))(\( 1 - 38 T^{2} + 1369 T^{4} \))(\( ( 1 - 12 T + 37 T^{2} )( 1 + 12 T + 37 T^{2} ) \))(\( 1 - 38 T^{2} + 1369 T^{4} \))(\( 1 + 26 T^{2} + 1369 T^{4} \))(\( 1 - 38 T^{2} + 1369 T^{4} \))(\( 1 - 58 T^{2} + 1369 T^{4} \))(\( 1 - 10 T^{2} + 1369 T^{4} \))(\( 1 - 86 T^{2} + 6055 T^{4} - 248372 T^{6} + 8289295 T^{8} - 161177846 T^{10} + 2565726409 T^{12} \))(\( 1 - 168 T^{2} + 14140 T^{4} - 808664 T^{6} + 34400998 T^{8} - 1107061016 T^{10} + 26500636540 T^{12} - 431042036712 T^{14} + 3512479453921 T^{16} \))(\( 1 - 168 T^{2} + 14140 T^{4} - 808664 T^{6} + 34400998 T^{8} - 1107061016 T^{10} + 26500636540 T^{12} - 431042036712 T^{14} + 3512479453921 T^{16} \))(\( ( 1 - 158 T^{2} + 11191 T^{4} - 496772 T^{6} + 15320479 T^{8} - 296117438 T^{10} + 2565726409 T^{12} )^{2} \))(\( ( 1 + 37 T^{2} )^{4} \))(\( ( 1 + 37 T^{2} )^{8} \))(\( ( 1 + 68 T^{2} + 4788 T^{4} + 250460 T^{6} + 9311478 T^{8} + 342879740 T^{10} + 8973482868 T^{12} + 174469395812 T^{14} + 3512479453921 T^{16} )^{2} \))(\( ( 1 + 68 T^{2} + 4788 T^{4} + 250460 T^{6} + 9311478 T^{8} + 342879740 T^{10} + 8973482868 T^{12} + 174469395812 T^{14} + 3512479453921 T^{16} )^{2} \))(\( ( 1 - 16 T + 128 T^{2} - 592 T^{3} + 1369 T^{4} )^{2} \))(\( 1 - 12 T + 72 T^{2} - 468 T^{3} + 3038 T^{4} - 17316 T^{5} + 98568 T^{6} - 607836 T^{7} + 1874161 T^{8} \))(\( 1 - 12 T + 72 T^{2} - 468 T^{3} + 3038 T^{4} - 17316 T^{5} + 98568 T^{6} - 607836 T^{7} + 1874161 T^{8} \))(\( ( 1 - 4 T + 8 T^{2} - 148 T^{3} + 1369 T^{4} )^{2} \))(\( ( 1 + 16 T + 128 T^{2} + 592 T^{3} + 1369 T^{4} )^{2} \))(\( ( 1 + 1988 T^{4} + 2835558 T^{8} + 3725832068 T^{12} + 3512479453921 T^{16} )^{2} \))(\( ( 1 - 3772 T^{4} + 7092070 T^{8} - 7069335292 T^{12} + 3512479453921 T^{16} )^{2} \))(\( 1 - 1582 T^{4} + 1874161 T^{8} \))(\( ( 1 + 1369 T^{4} )^{2} \))(\( ( 1 + 1369 T^{4} )^{2} \))(\( ( 1 + 1369 T^{4} )^{2} \))(\( ( 1 + 1369 T^{4} )^{2} \))(\( ( 1 + 1369 T^{4} )^{2} \))(\( 1 - 1582 T^{4} + 1874161 T^{8} \))(\( ( 1 + 1369 T^{4} )^{2} \))(\( ( 1 + 1369 T^{4} )^{4} \))(\( 1 + 15 T + 153 T^{2} + 1285 T^{3} + 9204 T^{4} + 47545 T^{5} + 209457 T^{6} + 759795 T^{7} + 1874161 T^{8} \))(\( 1 - 9 T + 69 T^{2} - 563 T^{3} + 4764 T^{4} - 20831 T^{5} + 94461 T^{6} - 455877 T^{7} + 1874161 T^{8} \))(\( 1 - 34 T + 561 T^{2} - 6395 T^{3} + 60899 T^{4} - 525089 T^{5} + 4104507 T^{6} - 29160881 T^{7} + 194958685 T^{8} - 1269474716 T^{9} + 8046177437 T^{10} - 49208343513 T^{11} + 297561737428 T^{12} - 1820708709981 T^{13} + 11015216911253 T^{14} - 64302702789548 T^{15} + 365383964038285 T^{16} - 2022130878146117 T^{17} + 10531042005825363 T^{18} - 49847684431889837 T^{19} + 213906486264334979 T^{20} - 831105325989517415 T^{21} + 2697615832926413289 T^{22} - 6049199140501654042 T^{23} + 6582952005840035281 T^{24} \))(\( 1 + 2 T - 117 T^{2} + 287 T^{3} + 6945 T^{4} - 42381 T^{5} - 120709 T^{6} + 2742577 T^{7} - 7094073 T^{8} - 94080514 T^{9} + 681244597 T^{10} + 1436140421 T^{11} - 30782197048 T^{12} + 53137195577 T^{13} + 932623853293 T^{14} - 4765460275642 T^{15} - 13295434947753 T^{16} + 190181141557189 T^{17} - 309706269103981 T^{18} - 4023307884773673 T^{19} + 24394169807481345 T^{20} + 37299019321187099 T^{21} - 562604371572888333 T^{22} + 355835243558920826 T^{23} + 6582952005840035281 T^{24} \))(\( 1 + 26 T + 222 T^{2} - 15 T^{3} - 11085 T^{4} - 30902 T^{5} + 428708 T^{6} + 1591971 T^{7} - 26442645 T^{8} - 218702465 T^{9} + 77133699 T^{10} + 7340345984 T^{11} + 16561309068 T^{12} - 202730524080 T^{13} - 1074770410490 T^{14} + 5390390771313 T^{15} + 75332211049268 T^{16} + 199444458538581 T^{17} - 1471360691960810 T^{18} - 10268909236224240 T^{19} + 31038559564191948 T^{20} + 509008636279618688 T^{21} + 197903968548156891 T^{22} - 20761835536064232845 T^{23} - 92879247269826861045 T^{24} + \)\(20\!\cdots\!67\)\( T^{25} + \)\(20\!\cdots\!92\)\( T^{26} - \)\(54\!\cdots\!26\)\( T^{27} - \)\(72\!\cdots\!85\)\( T^{28} - \)\(36\!\cdots\!55\)\( T^{29} + \)\(20\!\cdots\!58\)\( T^{30} + \)\(86\!\cdots\!18\)\( T^{31} + \)\(12\!\cdots\!41\)\( T^{32} \))(\( 1 + 14 T + 52 T^{2} - 65 T^{3} + 1535 T^{4} + 9932 T^{5} - 155212 T^{6} - 1344721 T^{7} - 1769755 T^{8} - 21425415 T^{9} - 284569231 T^{10} - 199692924 T^{11} + 8130500748 T^{12} + 15293144020 T^{13} - 2230953960 T^{14} + 1452961368427 T^{15} + 15648528366548 T^{16} + 53759570631799 T^{17} - 3054175971240 T^{18} + 774643624045060 T^{19} + 15237867412372428 T^{20} - 13847497535060268 T^{21} - 730126791165521479 T^{22} - 2033954864303535195 T^{23} - 6216228075973959355 T^{24} - \)\(17\!\cdots\!17\)\( T^{25} - \)\(74\!\cdots\!88\)\( T^{26} + \)\(17\!\cdots\!16\)\( T^{27} + \)\(10\!\cdots\!35\)\( T^{28} - \)\(15\!\cdots\!05\)\( T^{29} + \)\(46\!\cdots\!28\)\( T^{30} + \)\(46\!\cdots\!02\)\( T^{31} + \)\(12\!\cdots\!41\)\( T^{32} \))(\( 1 + 99 T^{2} + 2307 T^{4} - 114263 T^{6} - 8470320 T^{8} - 156426047 T^{10} + 4323689427 T^{12} + 254006914491 T^{14} + 3512479453921 T^{16} \))(\( ( 1 - 1369 T^{4} + 1874161 T^{8} - 2565726409 T^{12} + 3512479453921 T^{16} )^{2} \))(\( ( 1 - 1369 T^{4} + 1874161 T^{8} - 2565726409 T^{12} + 3512479453921 T^{16} )^{2} \))
$41$ (\( 1 - 10 T + 41 T^{2} \))(\( 1 - 12 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 - 4 T + 41 T^{2} \))(\( 1 - 4 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 - 12 T + 41 T^{2} \))(\( ( 1 - 6 T + 41 T^{2} )( 1 + 6 T + 41 T^{2} ) \))(\( ( 1 - 6 T - 5 T^{2} - 246 T^{3} + 1681 T^{4} )( 1 + 6 T - 5 T^{2} + 246 T^{3} + 1681 T^{4} ) \))(\( ( 1 - 41 T^{2} )^{4} \))(\( ( 1 - 6 T - 5 T^{2} - 246 T^{3} + 1681 T^{4} )( 1 + 6 T - 5 T^{2} + 246 T^{3} + 1681 T^{4} ) \))(\( 1 - 264 T^{2} + 32668 T^{4} - 2456248 T^{6} + 122337670 T^{8} - 4128952888 T^{10} + 92311960348 T^{12} - 1254027519624 T^{14} + 7984925229121 T^{16} \))(\( 1 - 264 T^{2} + 32668 T^{4} - 2456248 T^{6} + 122337670 T^{8} - 4128952888 T^{10} + 92311960348 T^{12} - 1254027519624 T^{14} + 7984925229121 T^{16} \))(\( ( 1 - 91 T^{2} + 6403 T^{4} - 299146 T^{6} + 10763443 T^{8} - 257144251 T^{10} + 4750104241 T^{12} )^{2} \))(\( ( 1 - 91 T^{2} + 6403 T^{4} - 299146 T^{6} + 10763443 T^{8} - 257144251 T^{10} + 4750104241 T^{12} )^{2} \))(\( ( 1 - 84 T^{2} + 3974 T^{4} - 141204 T^{6} + 2825761 T^{8} )^{4} \))(\( ( 1 - 10 T + 41 T^{2} )^{2} \))(\( ( 1 - 2 T + 41 T^{2} )^{2} \))(\( ( 1 - 2 T + 41 T^{2} )^{2} \))(\( ( 1 - 10 T + 41 T^{2} )^{2} \))(\( ( 1 + 10 T + 87 T^{2} + 588 T^{3} + 3567 T^{4} + 16810 T^{5} + 68921 T^{6} )^{2} \))(\( ( 1 + 10 T + 87 T^{2} + 588 T^{3} + 3567 T^{4} + 16810 T^{5} + 68921 T^{6} )^{2} \))(\( ( 1 + 100 T^{2} + 56 T^{3} + 5166 T^{4} + 2296 T^{5} + 168100 T^{6} + 2825761 T^{8} )^{2} \))(\( ( 1 + 100 T^{2} + 56 T^{3} + 5166 T^{4} + 2296 T^{5} + 168100 T^{6} + 2825761 T^{8} )^{2} \))(\( ( 1 - 4 T + 41 T^{2} )^{2} \))(\( ( 1 + 6 T + 41 T^{2} )^{2} \))(\( ( 1 - 10 T + 41 T^{2} )^{2} \))(\( ( 1 - 12 T + 41 T^{2} )^{2} \))(\( ( 1 + 6 T + 41 T^{2} )^{2} \))(\( ( 1 - 10 T + 41 T^{2} )^{2} \))(\( ( 1 - 2 T + 41 T^{2} )^{2} \))(\( ( 1 + 10 T + 87 T^{2} + 588 T^{3} + 3567 T^{4} + 16810 T^{5} + 68921 T^{6} )^{2} \))(\( ( 1 + 100 T^{2} + 56 T^{3} + 5166 T^{4} + 2296 T^{5} + 168100 T^{6} + 2825761 T^{8} )^{2} \))(\( ( 1 + 100 T^{2} + 56 T^{3} + 5166 T^{4} + 2296 T^{5} + 168100 T^{6} + 2825761 T^{8} )^{2} \))(\( ( 1 + 2 T + 23 T^{2} + 220 T^{3} + 943 T^{4} + 3362 T^{5} + 68921 T^{6} )^{4} \))(\( ( 1 - 6 T + 41 T^{2} )^{2}( 1 + 6 T + 41 T^{2} )^{2} \))(\( ( 1 - 6 T - 5 T^{2} - 246 T^{3} + 1681 T^{4} )^{2}( 1 + 6 T - 5 T^{2} + 246 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 - 264 T^{2} + 32668 T^{4} - 2456248 T^{6} + 122337670 T^{8} - 4128952888 T^{10} + 92311960348 T^{12} - 1254027519624 T^{14} + 7984925229121 T^{16} )^{2} \))(\( ( 1 - 264 T^{2} + 32668 T^{4} - 2456248 T^{6} + 122337670 T^{8} - 4128952888 T^{10} + 92311960348 T^{12} - 1254027519624 T^{14} + 7984925229121 T^{16} )^{2} \))(\( ( 1 - 50 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 - 50 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 - 50 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 - 50 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 - 50 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 - 25 T^{2} + 3312 T^{4} - 42025 T^{6} + 2825761 T^{8} )^{4} \))(\( ( 1 + 14 T^{2} + 1681 T^{4} )^{8} \))(\( ( 1 - 41 T^{2} )^{4} \))(\( ( 1 - 41 T^{2} )^{4} \))(\( ( 1 - 46 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 - 46 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 - 46 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 - 46 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 - 41 T^{2} )^{4} \))(\( ( 1 - 41 T^{2} )^{4} \))(\( ( 1 - 41 T^{2} )^{8} \))(\( 1 - 18 T + 83 T^{2} + 444 T^{3} - 6395 T^{4} + 18204 T^{5} + 139523 T^{6} - 1240578 T^{7} + 2825761 T^{8} \))(\( 1 + 10 T - T^{2} - 180 T^{3} - 139 T^{4} - 7380 T^{5} - 1681 T^{6} + 689210 T^{7} + 2825761 T^{8} \))(\( 1 + 20 T + 190 T^{2} + 1372 T^{3} + 11700 T^{4} + 83100 T^{5} + 311413 T^{6} + 471810 T^{7} - 626820 T^{8} - 75647076 T^{9} - 1157570400 T^{10} - 7904973400 T^{11} - 43376269795 T^{12} - 324103909400 T^{13} - 1945875842400 T^{14} - 5213672124996 T^{15} - 1771243510020 T^{16} + 54662114193810 T^{17} + 1479244212002533 T^{18} + 16184080159511100 T^{19} + 93423625180715700 T^{20} + 449168013988514492 T^{21} + 2550305268928956190 T^{22} + 11006580634324968820 T^{23} + 22563490300366186081 T^{24} \))(\( 1 - 12 T - 74 T^{2} + 1086 T^{3} + 1588 T^{4} - 4096 T^{5} - 118945 T^{6} - 2886974 T^{7} + 6485384 T^{8} + 134599980 T^{9} + 348023492 T^{10} - 2071199988 T^{11} - 35090011579 T^{12} - 84919199508 T^{13} + 585027490052 T^{14} + 9276765221580 T^{15} + 18326145177224 T^{16} - 334473840025774 T^{17} - 565001148945745 T^{18} - 797713505816576 T^{19} + 12680061263844148 T^{20} + 355536780751841646 T^{21} - 993276788951277674 T^{22} - 6603948380594981292 T^{23} + 22563490300366186081 T^{24} \))(\( 1 + 8 T - 41 T^{2} + 166 T^{3} + 5107 T^{4} - 17606 T^{5} - 30624 T^{6} + 1567582 T^{7} - 11022872 T^{8} - 33377612 T^{9} + 639752499 T^{10} - 3590449108 T^{11} - 15922494118 T^{12} + 214239287594 T^{13} - 918075363210 T^{14} - 4855674936904 T^{15} + 65728946542957 T^{16} - 199082672413064 T^{17} - 1543284685556010 T^{18} + 14765585940266074 T^{19} - 44993162901373798 T^{20} - 415975793536718708 T^{21} + 3038891058690248259 T^{22} - 6500432588941752172 T^{23} - 88016808730171455512 T^{24} + \)\(51\!\cdots\!02\)\( T^{25} - \)\(41\!\cdots\!24\)\( T^{26} - \)\(96\!\cdots\!46\)\( T^{27} + \)\(11\!\cdots\!67\)\( T^{28} + \)\(15\!\cdots\!86\)\( T^{29} - \)\(15\!\cdots\!01\)\( T^{30} + \)\(12\!\cdots\!08\)\( T^{31} + \)\(63\!\cdots\!41\)\( T^{32} \))(\( 1 - 4 T - 69 T^{2} + 20 T^{3} + 5995 T^{4} - 24492 T^{5} - 214862 T^{6} + 1070308 T^{7} + 15225910 T^{8} - 86546790 T^{9} - 346054419 T^{10} + 2131743126 T^{11} + 14200652176 T^{12} - 132694485050 T^{13} - 36407925600 T^{14} + 804588153052 T^{15} + 16907486042997 T^{16} + 32988114275132 T^{17} - 61201722933600 T^{18} - 9145436604131050 T^{19} + 40127649093505936 T^{20} + 246975660086224326 T^{21} - 1643794563308690979 T^{22} - 16855357243181391990 T^{23} + \)\(12\!\cdots\!10\)\( T^{24} + \)\(35\!\cdots\!88\)\( T^{25} - \)\(28\!\cdots\!62\)\( T^{26} - \)\(13\!\cdots\!72\)\( T^{27} + \)\(13\!\cdots\!95\)\( T^{28} + \)\(18\!\cdots\!20\)\( T^{29} - \)\(26\!\cdots\!09\)\( T^{30} - \)\(62\!\cdots\!04\)\( T^{31} + \)\(63\!\cdots\!41\)\( T^{32} \))(\( 1 + 14 T + 110 T^{2} + 610 T^{3} + 4135 T^{4} + 1582 T^{5} - 205032 T^{6} - 2092220 T^{7} - 11911095 T^{8} - 85781020 T^{9} - 344658792 T^{10} + 109033022 T^{11} + 11684521735 T^{12} + 70672282610 T^{13} + 522511466510 T^{14} + 2726559834334 T^{15} + 7984925229121 T^{16} \))(\( ( 1 + 41 T^{2} + 1681 T^{4} + 68921 T^{6} + 2825761 T^{8} )^{4} \))(\( ( 1 + 41 T^{2} + 1681 T^{4} + 68921 T^{6} + 2825761 T^{8} )^{4} \))
$43$ (\( 1 - 4 T + 43 T^{2} \))(\( 1 + 3 T + 43 T^{2} \))(\( 1 + 12 T + 43 T^{2} \))(\( 1 - 12 T + 43 T^{2} \))(\( 1 + 11 T + 43 T^{2} \))(\( 1 - 11 T + 43 T^{2} \))(\( 1 + 12 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 - 3 T + 43 T^{2} \))(\( ( 1 - 10 T + 43 T^{2} )^{2} \))(\( ( 1 - 10 T + 43 T^{2} )^{4} \))(\( ( 1 + 43 T^{2} )^{4} \))(\( ( 1 + 10 T + 43 T^{2} )^{4} \))(\( ( 1 + 160 T^{2} + 4 T^{3} + 10078 T^{4} + 172 T^{5} + 295840 T^{6} + 3418801 T^{8} )^{2} \))(\( ( 1 + 160 T^{2} + 4 T^{3} + 10078 T^{4} + 172 T^{5} + 295840 T^{6} + 3418801 T^{8} )^{2} \))(\( ( 1 - 10 T + 100 T^{2} - 712 T^{3} + 4300 T^{4} - 18490 T^{5} + 79507 T^{6} )^{4} \))(\( ( 1 + 10 T + 100 T^{2} + 712 T^{3} + 4300 T^{4} + 18490 T^{5} + 79507 T^{6} )^{4} \))(\( ( 1 + 60 T^{2} + 4206 T^{4} + 110940 T^{6} + 3418801 T^{8} )^{4} \))(\( ( 1 - 4 T + 43 T^{2} )^{2} \))(\( ( 1 - 4 T + 43 T^{2} )^{2} \))(\( ( 1 + 4 T + 43 T^{2} )^{2} \))(\( ( 1 + 4 T + 43 T^{2} )^{2} \))(\( ( 1 - 4 T + 65 T^{2} - 216 T^{3} + 2795 T^{4} - 7396 T^{5} + 79507 T^{6} )^{2} \))(\( ( 1 + 4 T + 65 T^{2} + 216 T^{3} + 2795 T^{4} + 7396 T^{5} + 79507 T^{6} )^{2} \))(\( ( 1 + 4 T + 58 T^{2} + 336 T^{3} + 3379 T^{4} + 14448 T^{5} + 107242 T^{6} + 318028 T^{7} + 3418801 T^{8} )^{2} \))(\( ( 1 - 4 T + 58 T^{2} - 336 T^{3} + 3379 T^{4} - 14448 T^{5} + 107242 T^{6} - 318028 T^{7} + 3418801 T^{8} )^{2} \))(\( 1 + 35 T^{2} + 1849 T^{4} \))(\( 1 + 58 T^{2} + 1849 T^{4} \))(\( 1 - 70 T^{2} + 1849 T^{4} \))(\( 1 - 77 T^{2} + 1849 T^{4} \))(\( 1 - 70 T^{2} + 1849 T^{4} \))(\( 1 - 70 T^{2} + 1849 T^{4} \))(\( 1 - 70 T^{2} + 1849 T^{4} \))(\( 1 - 114 T^{2} + 8087 T^{4} - 416540 T^{6} + 14952863 T^{8} - 389743314 T^{10} + 6321363049 T^{12} \))(\( 1 - 100 T^{2} + 7434 T^{4} - 377968 T^{6} + 18442035 T^{8} - 698862832 T^{10} + 25415366634 T^{12} - 632136304900 T^{14} + 11688200277601 T^{16} \))(\( 1 - 100 T^{2} + 7434 T^{4} - 377968 T^{6} + 18442035 T^{8} - 698862832 T^{10} + 25415366634 T^{12} - 632136304900 T^{14} + 11688200277601 T^{16} \))(\( ( 1 - 130 T^{2} + 9815 T^{4} - 518268 T^{6} + 18147935 T^{8} - 444444130 T^{10} + 6321363049 T^{12} )^{2} \))(\( ( 1 + 14 T^{2} + 1849 T^{4} )^{2} \))(\( ( 1 + 14 T^{2} + 1849 T^{4} )^{4} \))(\( ( 1 - 320 T^{2} + 45756 T^{4} - 3816624 T^{6} + 203071110 T^{8} - 7056937776 T^{10} + 156430658556 T^{12} - 2022836175680 T^{14} + 11688200277601 T^{16} )^{2} \))(\( ( 1 - 320 T^{2} + 45756 T^{4} - 3816624 T^{6} + 203071110 T^{8} - 7056937776 T^{10} + 156430658556 T^{12} - 2022836175680 T^{14} + 11688200277601 T^{16} )^{2} \))(\( ( 1 + 4 T + 8 T^{2} + 172 T^{3} + 1849 T^{4} )^{2} \))(\( 1 + 4 T + 8 T^{2} + 164 T^{3} + 3358 T^{4} + 7052 T^{5} + 14792 T^{6} + 318028 T^{7} + 3418801 T^{8} \))(\( 1 + 4 T + 8 T^{2} + 164 T^{3} + 3358 T^{4} + 7052 T^{5} + 14792 T^{6} + 318028 T^{7} + 3418801 T^{8} \))(\( ( 1 - 4 T + 8 T^{2} - 172 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 - 4 T + 8 T^{2} - 172 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 - 5047 T^{4} + 11852448 T^{8} - 17254688647 T^{12} + 11688200277601 T^{16} )^{2} \))(\( ( 1 - 4828 T^{4} + 11812006 T^{8} - 16505971228 T^{12} + 11688200277601 T^{16} )^{2} \))(\( 1 + 1778 T^{4} + 3418801 T^{8} \))(\( ( 1 + 1849 T^{4} )^{2} \))(\( 1 + 2702 T^{4} + 3418801 T^{8} \))(\( 1 + 2702 T^{4} + 3418801 T^{8} \))(\( 1 + 2702 T^{4} + 3418801 T^{8} \))(\( 1 + 2702 T^{4} + 3418801 T^{8} \))(\( 1 + 1778 T^{4} + 3418801 T^{8} \))(\( ( 1 + 1849 T^{4} )^{2} \))(\( ( 1 + 1849 T^{4} )^{4} \))(\( ( 1 + 2 T + 43 T^{2} )^{4} \))(\( ( 1 - 8 T + 82 T^{2} - 344 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 - 14 T + 129 T^{2} - 618 T^{3} + 2606 T^{4} - 1066 T^{5} + 6892 T^{6} - 45838 T^{7} + 4818494 T^{8} - 49135326 T^{9} + 441025329 T^{10} - 2058118202 T^{11} + 6321363049 T^{12} )^{2} \))(\( ( 1 - 4 T + 149 T^{2} - 178 T^{3} + 8386 T^{4} + 13094 T^{5} + 329192 T^{6} + 563042 T^{7} + 15505714 T^{8} - 14152246 T^{9} + 509401349 T^{10} - 588033772 T^{11} + 6321363049 T^{12} )^{2} \))(\( ( 1 - 18 T + 387 T^{2} - 4694 T^{3} + 58541 T^{4} - 538588 T^{5} + 4911165 T^{6} - 36110072 T^{7} + 260576964 T^{8} - 1552733096 T^{9} + 9080744085 T^{10} - 42821516116 T^{11} + 200140029341 T^{12} - 690057631442 T^{13} + 2446367499963 T^{14} - 4892734999926 T^{15} + 11688200277601 T^{16} )^{2} \))(\( ( 1 + 8 T + 187 T^{2} + 1614 T^{3} + 19821 T^{4} + 154918 T^{5} + 1441245 T^{6} + 9416472 T^{7} + 73952164 T^{8} + 404908296 T^{9} + 2664862005 T^{10} + 12317065426 T^{11} + 67764054621 T^{12} + 237271627002 T^{13} + 1182094890163 T^{14} + 2174548888856 T^{15} + 11688200277601 T^{16} )^{2} \))(\( 1 - 248 T^{2} + 30120 T^{4} - 2288248 T^{6} + 118103294 T^{8} - 4230970552 T^{10} + 102974286120 T^{12} - 1567698036152 T^{14} + 11688200277601 T^{16} \))(\( ( 1 + 1849 T^{4} )^{8} \))(\( ( 1 + 1849 T^{4} )^{8} \))
$47$ (\( 1 + 8 T + 47 T^{2} \))(\( 1 - 10 T + 47 T^{2} \))(\( 1 + 8 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 - 10 T + 47 T^{2} \))(\( 1 + 10 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 10 T + 47 T^{2} \))(\( ( 1 + 47 T^{2} )^{2} \))(\( ( 1 + 47 T^{2} )^{4} \))(\( ( 1 + 14 T^{2} + 2209 T^{4} )^{2} \))(\( ( 1 + 47 T^{2} )^{4} \))(\( ( 1 + 14 T + 168 T^{2} + 1186 T^{3} + 9166 T^{4} + 55742 T^{5} + 371112 T^{6} + 1453522 T^{7} + 4879681 T^{8} )^{2} \))(\( ( 1 - 14 T + 168 T^{2} - 1186 T^{3} + 9166 T^{4} - 55742 T^{5} + 371112 T^{6} - 1453522 T^{7} + 4879681 T^{8} )^{2} \))(\( ( 1 + 70 T^{2} + 4799 T^{4} + 313140 T^{6} + 10600991 T^{8} + 341577670 T^{10} + 10779215329 T^{12} )^{2} \))(\( ( 1 + 70 T^{2} + 4799 T^{4} + 313140 T^{6} + 10600991 T^{8} + 341577670 T^{10} + 10779215329 T^{12} )^{2} \))(\( ( 1 + 180 T^{2} + 12510 T^{4} + 397620 T^{6} + 4879681 T^{8} )^{4} \))(\( 1 - 78 T^{2} + 2209 T^{4} \))(\( 1 + 50 T^{2} + 2209 T^{4} \))(\( 1 + 50 T^{2} + 2209 T^{4} \))(\( 1 - 78 T^{2} + 2209 T^{4} \))(\( 1 - 82 T^{2} + 7967 T^{4} - 348252 T^{6} + 17599103 T^{8} - 400133842 T^{10} + 10779215329 T^{12} \))(\( 1 - 82 T^{2} + 7967 T^{4} - 348252 T^{6} + 17599103 T^{8} - 400133842 T^{10} + 10779215329 T^{12} \))(\( 1 - 232 T^{2} + 26076 T^{4} - 1910872 T^{6} + 102863686 T^{8} - 4221116248 T^{10} + 127242561756 T^{12} - 2500777956328 T^{14} + 23811286661761 T^{16} \))(\( 1 - 232 T^{2} + 26076 T^{4} - 1910872 T^{6} + 102863686 T^{8} - 4221116248 T^{10} + 127242561756 T^{12} - 2500777956328 T^{14} + 23811286661761 T^{16} \))(\( 1 + 6 T^{2} + 2209 T^{4} \))(\( 1 - 30 T^{2} + 2209 T^{4} \))(\( 1 - 30 T^{2} + 2209 T^{4} \))(\( 1 + 6 T^{2} + 2209 T^{4} \))(\( ( 1 - 47 T^{2} )^{2} \))(\( ( 1 - 4 T + 47 T^{2} )^{2} \))(\( ( 1 - 12 T + 47 T^{2} )^{2} \))(\( ( 1 + 4 T + 49 T^{2} - 120 T^{3} + 2303 T^{4} + 8836 T^{5} + 103823 T^{6} )^{2} \))(\( ( 1 + 116 T^{2} - 256 T^{3} + 6310 T^{4} - 12032 T^{5} + 256244 T^{6} + 4879681 T^{8} )^{2} \))(\( ( 1 + 116 T^{2} + 256 T^{3} + 6310 T^{4} + 12032 T^{5} + 256244 T^{6} + 4879681 T^{8} )^{2} \))(\( ( 1 + 222 T^{2} + 22367 T^{4} + 1328324 T^{6} + 49408703 T^{8} + 1083289182 T^{10} + 10779215329 T^{12} )^{2} \))(\( ( 1 - 47 T^{2} )^{4} \))(\( ( 1 - 47 T^{2} )^{8} \))(\( ( 1 - 140 T^{2} + 13348 T^{4} - 854628 T^{6} + 45549910 T^{8} - 1887873252 T^{10} + 65133981988 T^{12} - 1509090146060 T^{14} + 23811286661761 T^{16} )^{2} \))(\( ( 1 - 140 T^{2} + 13348 T^{4} - 854628 T^{6} + 45549910 T^{8} - 1887873252 T^{10} + 65133981988 T^{12} - 1509090146060 T^{14} + 23811286661761 T^{16} )^{2} \))(\( 1 + 3682 T^{4} + 4879681 T^{8} \))(\( 1 - 20 T + 200 T^{2} - 1860 T^{3} + 15182 T^{4} - 87420 T^{5} + 441800 T^{6} - 2076460 T^{7} + 4879681 T^{8} \))(\( 1 + 20 T + 200 T^{2} + 1860 T^{3} + 15182 T^{4} + 87420 T^{5} + 441800 T^{6} + 2076460 T^{7} + 4879681 T^{8} \))(\( 1 - 3518 T^{4} + 4879681 T^{8} \))(\( 1 + 3682 T^{4} + 4879681 T^{8} \))(\( ( 1 - 3518 T^{4} + 4879681 T^{8} )^{4} \))(\( ( 1 + 420 T^{4} - 7469626 T^{8} + 2049466020 T^{12} + 23811286661761 T^{16} )^{2} \))(\( ( 1 - 16 T + 128 T^{2} - 752 T^{3} + 2209 T^{4} )^{2} \))(\( ( 1 + 2209 T^{4} )^{2} \))(\( ( 1 + 10 T + 50 T^{2} + 470 T^{3} + 2209 T^{4} )^{2} \))(\( ( 1 + 10 T + 50 T^{2} + 470 T^{3} + 2209 T^{4} )^{2} \))(\( ( 1 - 10 T + 50 T^{2} - 470 T^{3} + 2209 T^{4} )^{2} \))(\( ( 1 - 10 T + 50 T^{2} - 470 T^{3} + 2209 T^{4} )^{2} \))(\( ( 1 + 16 T + 128 T^{2} + 752 T^{3} + 2209 T^{4} )^{2} \))(\( ( 1 + 2209 T^{4} )^{2} \))(\( ( 1 - 4222 T^{4} + 4879681 T^{8} )^{2} \))(\( 1 - 7 T^{2} - 270 T^{3} + 1669 T^{4} - 12690 T^{5} - 15463 T^{6} + 4879681 T^{8} \))(\( 1 + 12 T + 97 T^{2} + 930 T^{3} + 8581 T^{4} + 43710 T^{5} + 214273 T^{6} + 1245876 T^{7} + 4879681 T^{8} \))(\( 1 - 19 T + 121 T^{2} - 255 T^{3} + 3209 T^{4} - 76274 T^{5} + 564287 T^{6} - 555736 T^{7} - 2977610 T^{8} - 155313276 T^{9} + 1770352427 T^{10} - 3946083218 T^{11} - 22391427857 T^{12} - 185465911246 T^{13} + 3910708511243 T^{14} - 16125090254148 T^{15} - 14529786942410 T^{16} - 127455276810152 T^{17} + 6082571080355423 T^{18} - 38642171890194862 T^{19} + 76410418897591049 T^{20} - 285378270641205585 T^{21} + 6364495000535435929 T^{22} - 46971025086596233757 T^{23} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 - 23 T + 123 T^{2} + 777 T^{3} - 5675 T^{4} - 12626 T^{5} - 488169 T^{6} + 6175832 T^{7} + 5612842 T^{8} - 120937534 T^{9} - 1041962413 T^{10} - 5491335624 T^{11} + 156811300987 T^{12} - 258092774328 T^{13} - 2301694970317 T^{14} - 12556097592482 T^{15} + 27388878463402 T^{16} + 1416396233270824 T^{17} - 5262078767942601 T^{18} - 6396623518965838 T^{19} - 135129051805493675 T^{20} + 869564377600849959 T^{21} + 6469693265007096027 T^{22} - 56859661946932282969 T^{23} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 + 11 T + 24 T^{2} - 102 T^{3} + 4511 T^{4} + 37210 T^{5} - 132650 T^{6} - 1953036 T^{7} + 9488640 T^{8} + 80803546 T^{9} - 542287236 T^{10} - 4281759233 T^{11} + 26136384592 T^{12} + 66051355600 T^{13} - 1874226940818 T^{14} - 7588462759846 T^{15} + 33455149048905 T^{16} - 356657749712762 T^{17} - 4140167312266962 T^{18} + 6857649892458800 T^{19} + 127537219302275152 T^{20} - 982000101264699631 T^{21} - 5845430887012240644 T^{22} + 40936944618995561798 T^{23} + \)\(22\!\cdots\!40\)\( T^{24} - \)\(21\!\cdots\!12\)\( T^{25} - \)\(69\!\cdots\!50\)\( T^{26} + \)\(91\!\cdots\!30\)\( T^{27} + \)\(52\!\cdots\!51\)\( T^{28} - \)\(55\!\cdots\!54\)\( T^{29} + \)\(61\!\cdots\!56\)\( T^{30} + \)\(13\!\cdots\!73\)\( T^{31} + \)\(56\!\cdots\!21\)\( T^{32} \))(\( 1 - 5 T + 2 T^{2} + 1150 T^{3} - 3795 T^{4} - 16050 T^{5} + 642980 T^{6} - 981600 T^{7} - 18139430 T^{8} + 211217700 T^{9} - 62721774 T^{10} - 8128844605 T^{11} + 34369850932 T^{12} + 15580267350 T^{13} - 1979851027330 T^{14} - 3246598446950 T^{15} + 6596980980845 T^{16} - 152590127006650 T^{17} - 4373490919371970 T^{18} + 1617590097079050 T^{19} + 167713908565712692 T^{20} - 1864309922835637235 T^{21} - 676091507762873646 T^{22} + \)\(10\!\cdots\!00\)\( T^{23} - \)\(43\!\cdots\!30\)\( T^{24} - \)\(10\!\cdots\!00\)\( T^{25} + \)\(33\!\cdots\!20\)\( T^{26} - \)\(39\!\cdots\!50\)\( T^{27} - \)\(44\!\cdots\!95\)\( T^{28} + \)\(62\!\cdots\!50\)\( T^{29} + \)\(51\!\cdots\!38\)\( T^{30} - \)\(60\!\cdots\!15\)\( T^{31} + \)\(56\!\cdots\!21\)\( T^{32} \))(\( 1 - 10 T + 164 T^{2} - 1840 T^{3} + 16727 T^{4} - 160070 T^{5} + 1237722 T^{6} - 9389520 T^{7} + 68225365 T^{8} - 441307440 T^{9} + 2734127898 T^{10} - 16618947610 T^{11} + 81622424087 T^{12} - 421994812880 T^{13} + 1767791313956 T^{14} - 5066231204630 T^{15} + 23811286661761 T^{16} \))(\( ( 1 - 2209 T^{4} + 4879681 T^{8} - 10779215329 T^{12} + 23811286661761 T^{16} )^{2} \))(\( ( 1 - 2209 T^{4} + 4879681 T^{8} - 10779215329 T^{12} + 23811286661761 T^{16} )^{2} \))
$53$ (\( 1 + 10 T + 53 T^{2} \))(\( 1 + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 + 10 T + 53 T^{2} \))(\( 1 - 8 T + 53 T^{2} \))(\( 1 + 8 T + 53 T^{2} \))(\( 1 - 10 T + 53 T^{2} \))(\( 1 - 2 T + 53 T^{2} \))(\( 1 + 53 T^{2} \))(\( ( 1 + 53 T^{2} )^{2} \))(\( ( 1 + 53 T^{2} )^{4} \))(\( ( 1 + 86 T^{2} + 2809 T^{4} )^{2} \))(\( ( 1 + 53 T^{2} )^{4} \))(\( ( 1 + 8 T + 188 T^{2} + 1144 T^{3} + 14454 T^{4} + 60632 T^{5} + 528092 T^{6} + 1191016 T^{7} + 7890481 T^{8} )^{2} \))(\( ( 1 - 8 T + 188 T^{2} - 1144 T^{3} + 14454 T^{4} - 60632 T^{5} + 528092 T^{6} - 1191016 T^{7} + 7890481 T^{8} )^{2} \))(\( ( 1 + 38 T^{2} + 6351 T^{4} + 175844 T^{6} + 17839959 T^{8} + 299838278 T^{10} + 22164361129 T^{12} )^{2} \))(\( ( 1 + 38 T^{2} + 6351 T^{4} + 175844 T^{6} + 17839959 T^{8} + 299838278 T^{10} + 22164361129 T^{12} )^{2} \))(\( ( 1 + 68 T^{2} + 4182 T^{4} + 191012 T^{6} + 7890481 T^{8} )^{4} \))(\( ( 1 - 10 T + 53 T^{2} )^{2} \))(\( ( 1 + 6 T + 53 T^{2} )^{2} \))(\( ( 1 - 6 T + 53 T^{2} )^{2} \))(\( ( 1 + 10 T + 53 T^{2} )^{2} \))(\( ( 1 + 2 T + 53 T^{2} )^{6} \))(\( ( 1 - 2 T + 53 T^{2} )^{6} \))(\( ( 1 - 4 T + 92 T^{2} + 44 T^{3} + 3982 T^{4} + 2332 T^{5} + 258428 T^{6} - 595508 T^{7} + 7890481 T^{8} )^{2} \))(\( ( 1 + 4 T + 92 T^{2} - 44 T^{3} + 3982 T^{4} - 2332 T^{5} + 258428 T^{6} + 595508 T^{7} + 7890481 T^{8} )^{2} \))(\( 1 - 42 T^{2} + 2809 T^{4} \))(\( 1 - 70 T^{2} + 2809 T^{4} \))(\( 1 - 6 T^{2} + 2809 T^{4} \))(\( ( 1 - 53 T^{2} )^{2} \))(\( 1 - 102 T^{2} + 2809 T^{4} \))(\( 1 - 6 T^{2} + 2809 T^{4} \))(\( 1 - 70 T^{2} + 2809 T^{4} \))(\( ( 1 - 102 T^{2} + 2809 T^{4} )^{3} \))(\( 1 - 168 T^{2} + 16780 T^{4} - 1266264 T^{6} + 74218758 T^{8} - 3556935576 T^{10} + 132402271180 T^{12} - 3723612669672 T^{14} + 62259690411361 T^{16} \))(\( 1 - 168 T^{2} + 16780 T^{4} - 1266264 T^{6} + 74218758 T^{8} - 3556935576 T^{10} + 132402271180 T^{12} - 3723612669672 T^{14} + 62259690411361 T^{16} \))(\( ( 1 - 238 T^{2} + 26391 T^{4} - 1758052 T^{6} + 74132319 T^{8} - 1877934478 T^{10} + 22164361129 T^{12} )^{2} \))(\( ( 1 - 53 T^{2} )^{4} \))(\( ( 1 - 53 T^{2} )^{8} \))(\( ( 1 - 312 T^{2} + 45948 T^{4} - 4212040 T^{6} + 265479398 T^{8} - 11831620360 T^{10} + 362551820988 T^{12} - 6915280672248 T^{14} + 62259690411361 T^{16} )^{2} \))(\( ( 1 - 312 T^{2} + 45948 T^{4} - 4212040 T^{6} + 265479398 T^{8} - 11831620360 T^{10} + 362551820988 T^{12} - 6915280672248 T^{14} + 62259690411361 T^{16} )^{2} \))(\( 1 - 3854 T^{4} + 7890481 T^{8} \))(\( ( 1 + 6 T + 18 T^{2} + 318 T^{3} + 2809 T^{4} )^{2} \))(\( ( 1 - 6 T + 18 T^{2} - 318 T^{3} + 2809 T^{4} )^{2} \))(\( 1 - 4174 T^{4} + 7890481 T^{8} \))(\( 1 - 3854 T^{4} + 7890481 T^{8} \))(\( ( 1 - 28 T^{4} - 14631642 T^{8} - 220933468 T^{12} + 62259690411361 T^{16} )^{2} \))(\( ( 1 - 348 T^{4} - 3146074 T^{8} - 2745887388 T^{12} + 62259690411361 T^{16} )^{2} \))(\( ( 1 + 2809 T^{4} )^{2} \))(\( ( 1 - 20 T + 200 T^{2} - 1060 T^{3} + 2809 T^{4} )( 1 + 20 T + 200 T^{2} + 1060 T^{3} + 2809 T^{4} ) \))(\( 1 + 1106 T^{4} + 7890481 T^{8} \))(\( 1 + 1106 T^{4} + 7890481 T^{8} \))(\( 1 + 1106 T^{4} + 7890481 T^{8} \))(\( 1 + 1106 T^{4} + 7890481 T^{8} \))(\( ( 1 + 2809 T^{4} )^{2} \))(\( ( 1 - 20 T + 200 T^{2} - 1060 T^{3} + 2809 T^{4} )( 1 + 20 T + 200 T^{2} + 1060 T^{3} + 2809 T^{4} ) \))(\( ( 1 + 1778 T^{4} + 7890481 T^{8} )^{2} \))(\( 1 + 15 T + 137 T^{2} + 1365 T^{3} + 12724 T^{4} + 72345 T^{5} + 384833 T^{6} + 2233155 T^{7} + 7890481 T^{8} \))(\( 1 - 25 T + 257 T^{2} - 1635 T^{3} + 10244 T^{4} - 86655 T^{5} + 721913 T^{6} - 3721925 T^{7} + 7890481 T^{8} \))(\( 1 - 8 T - 51 T^{2} + 115 T^{3} + 6809 T^{4} - 35943 T^{5} - 120227 T^{6} + 2094517 T^{7} - 792485 T^{8} - 84209682 T^{9} - 370751627 T^{10} + 6447198521 T^{11} - 27145901272 T^{12} + 341701521613 T^{13} - 1041441320243 T^{14} - 12536884827114 T^{15} - 6253087835285 T^{16} + 875917569411881 T^{17} - 2664754645456283 T^{18} - 42222642499161291 T^{19} + 423926232010957049 T^{20} + 379472813057245295 T^{21} - 8919260988641165499 T^{22} - 74152287434977532776 T^{23} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 + 14 T - 133 T^{2} - 3429 T^{3} - 7675 T^{4} + 280263 T^{5} + 2423199 T^{6} - 2206549 T^{7} - 144823243 T^{8} - 931347758 T^{9} - 963546787 T^{10} + 35014165003 T^{11} + 382597792652 T^{12} + 1855750745159 T^{13} - 2706602924683 T^{14} - 138656260167766 T^{15} - 1142725047249883 T^{16} - 922768846883657 T^{17} + 53708657723431671 T^{18} + 329228068184137131 T^{19} - 477843123907195675 T^{20} - 11314889356289514057 T^{21} - 23260033558613235517 T^{22} + \)\(12\!\cdots\!58\)\( T^{23} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 - 6 T - 120 T^{2} + 497 T^{3} + 8699 T^{4} - 73444 T^{5} - 22530 T^{6} + 5568839 T^{7} - 11497903 T^{8} - 393196229 T^{9} + 1844266625 T^{10} + 9987335810 T^{11} - 98539826014 T^{12} - 400979946640 T^{13} + 7985882401076 T^{14} - 3241128276283 T^{15} - 319264874188980 T^{16} - 171779798642999 T^{17} + 22432343664622484 T^{18} - 59696691515923280 T^{19} - 777526624906772734 T^{20} + 4176658822819504330 T^{21} + 40876991494662019625 T^{22} - \)\(46\!\cdots\!73\)\( T^{23} - \)\(71\!\cdots\!83\)\( T^{24} + \)\(18\!\cdots\!87\)\( T^{25} - \)\(39\!\cdots\!70\)\( T^{26} - \)\(68\!\cdots\!68\)\( T^{27} + \)\(42\!\cdots\!59\)\( T^{28} + \)\(12\!\cdots\!81\)\( T^{29} - \)\(16\!\cdots\!80\)\( T^{30} - \)\(43\!\cdots\!42\)\( T^{31} + \)\(38\!\cdots\!21\)\( T^{32} \))(\( 1 - 8 T - 62 T^{2} + 1275 T^{3} + 1565 T^{4} - 80144 T^{5} - 145778 T^{6} + 7779033 T^{7} - 2742165 T^{8} - 537597415 T^{9} + 2153323351 T^{10} + 21876583252 T^{11} - 125490052302 T^{12} - 929432617760 T^{13} + 9665000393400 T^{14} + 31698556805839 T^{15} - 682513768591892 T^{16} + 1680023510709467 T^{17} + 27148986105060600 T^{18} - 138371139834255520 T^{19} - 990176873377937262 T^{20} + 9148688518225683236 T^{21} + 47727036379072423279 T^{22} - \)\(63\!\cdots\!55\)\( T^{23} - \)\(17\!\cdots\!65\)\( T^{24} + \)\(25\!\cdots\!89\)\( T^{25} - \)\(25\!\cdots\!22\)\( T^{26} - \)\(74\!\cdots\!68\)\( T^{27} + \)\(76\!\cdots\!65\)\( T^{28} + \)\(33\!\cdots\!75\)\( T^{29} - \)\(85\!\cdots\!78\)\( T^{30} - \)\(58\!\cdots\!56\)\( T^{31} + \)\(38\!\cdots\!21\)\( T^{32} \))(\( 1 - 50 T + 1201 T^{2} - 18230 T^{3} + 194047 T^{4} - 1526530 T^{5} + 9254823 T^{6} - 47690790 T^{7} + 281848000 T^{8} - 2527611870 T^{9} + 25996797807 T^{10} - 227265206810 T^{11} + 1531124166607 T^{12} - 7623703837390 T^{13} + 26619397715929 T^{14} - 58735556991850 T^{15} + 62259690411361 T^{16} \))(\( ( 1 - 20 T + 200 T^{2} - 1060 T^{3} - 409 T^{4} + 43460 T^{5} - 225600 T^{6} - 768920 T^{7} + 15579681 T^{8} - 40752760 T^{9} - 633710400 T^{10} + 6470194420 T^{11} - 3227206729 T^{12} - 443287222580 T^{13} + 4432872225800 T^{14} - 23494222796740 T^{15} + 62259690411361 T^{16} )( 1 + 20 T + 200 T^{2} + 1060 T^{3} - 409 T^{4} - 43460 T^{5} - 225600 T^{6} + 768920 T^{7} + 15579681 T^{8} + 40752760 T^{9} - 633710400 T^{10} - 6470194420 T^{11} - 3227206729 T^{12} + 443287222580 T^{13} + 4432872225800 T^{14} + 23494222796740 T^{15} + 62259690411361 T^{16} ) \))(\( ( 1 - 20 T + 200 T^{2} - 1060 T^{3} - 409 T^{4} + 43460 T^{5} - 225600 T^{6} - 768920 T^{7} + 15579681 T^{8} - 40752760 T^{9} - 633710400 T^{10} + 6470194420 T^{11} - 3227206729 T^{12} - 443287222580 T^{13} + 4432872225800 T^{14} - 23494222796740 T^{15} + 62259690411361 T^{16} )( 1 + 20 T + 200 T^{2} + 1060 T^{3} - 409 T^{4} - 43460 T^{5} - 225600 T^{6} + 768920 T^{7} + 15579681 T^{8} + 40752760 T^{9} - 633710400 T^{10} - 6470194420 T^{11} - 3227206729 T^{12} + 443287222580 T^{13} + 4432872225800 T^{14} + 23494222796740 T^{15} + 62259690411361 T^{16} ) \))
$59$ (\( 1 + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( 1 - 4 T + 59 T^{2} \))(\( 1 + 6 T + 59 T^{2} \))(\( ( 1 - 6 T + 59 T^{2} )( 1 + 6 T + 59 T^{2} ) \))(\( ( 1 - 6 T + 59 T^{2} )^{2}( 1 + 6 T + 59 T^{2} )^{2} \))(\( ( 1 - 59 T^{2} )^{4} \))(\( ( 1 - 6 T + 59 T^{2} )^{2}( 1 + 6 T + 59 T^{2} )^{2} \))(\( 1 - 312 T^{2} + 41500 T^{4} - 3304648 T^{6} + 204947494 T^{8} - 11503479688 T^{10} + 502870481500 T^{12} - 13160326495992 T^{14} + 146830437604321 T^{16} \))(\( 1 - 312 T^{2} + 41500 T^{4} - 3304648 T^{6} + 204947494 T^{8} - 11503479688 T^{10} + 502870481500 T^{12} - 13160326495992 T^{14} + 146830437604321 T^{16} \))(\( ( 1 - 214 T^{2} + 21991 T^{4} - 1515316 T^{6} + 76550671 T^{8} - 2593115254 T^{10} + 42180533641 T^{12} )^{2} \))(\( ( 1 - 214 T^{2} + 21991 T^{4} - 1515316 T^{6} + 76550671 T^{8} - 2593115254 T^{10} + 42180533641 T^{12} )^{2} \))(\( ( 1 - 212 T^{2} + 18166 T^{4} - 737972 T^{6} + 12117361 T^{8} )^{4} \))(\( 1 - 54 T^{2} + 3481 T^{4} \))(\( 1 - 102 T^{2} + 3481 T^{4} \))(\( 1 - 102 T^{2} + 3481 T^{4} \))(\( 1 - 54 T^{2} + 3481 T^{4} \))(\( 1 - 274 T^{2} + 33911 T^{4} - 2503644 T^{6} + 118044191 T^{8} - 3320156914 T^{10} + 42180533641 T^{12} \))(\( 1 - 274 T^{2} + 33911 T^{4} - 2503644 T^{6} + 118044191 T^{8} - 3320156914 T^{10} + 42180533641 T^{12} \))(\( 1 - 40 T^{2} + 2364 T^{4} - 112984 T^{6} + 20250598 T^{8} - 393297304 T^{10} + 28645441404 T^{12} - 1687221345640 T^{14} + 146830437604321 T^{16} \))(\( 1 - 40 T^{2} + 2364 T^{4} - 112984 T^{6} + 20250598 T^{8} - 393297304 T^{10} + 28645441404 T^{12} - 1687221345640 T^{14} + 146830437604321 T^{16} \))(\( ( 1 - 6 T + 59 T^{2} )^{2} \))(\( ( 1 + 12 T + 59 T^{2} )^{2} \))(\( ( 1 + 59 T^{2} )^{2} \))(\( ( 1 - 6 T + 59 T^{2} )^{2} \))(\( ( 1 + 4 T + 59 T^{2} )^{2} \))(\( 1 - 54 T^{2} + 3481 T^{4} \))(\( 1 - 102 T^{2} + 3481 T^{4} \))(\( 1 - 274 T^{2} + 33911 T^{4} - 2503644 T^{6} + 118044191 T^{8} - 3320156914 T^{10} + 42180533641 T^{12} \))(\( 1 - 40 T^{2} + 2364 T^{4} - 112984 T^{6} + 20250598 T^{8} - 393297304 T^{10} + 28645441404 T^{12} - 1687221345640 T^{14} + 146830437604321 T^{16} \))(\( 1 - 40 T^{2} + 2364 T^{4} - 112984 T^{6} + 20250598 T^{8} - 393297304 T^{10} + 28645441404 T^{12} - 1687221345640 T^{14} + 146830437604321 T^{16} \))(\( ( 1 - 178 T^{2} + 20567 T^{4} - 1418652 T^{6} + 71593727 T^{8} - 2156890258 T^{10} + 42180533641 T^{12} )^{2} \))(\( ( 1 - 6 T + 59 T^{2} )^{2}( 1 + 6 T + 59 T^{2} )^{2} \))(\( ( 1 - 6 T + 59 T^{2} )^{4}( 1 + 6 T + 59 T^{2} )^{4} \))(\( ( 1 - 312 T^{2} + 41500 T^{4} - 3304648 T^{6} + 204947494 T^{8} - 11503479688 T^{10} + 502870481500 T^{12} - 13160326495992 T^{14} + 146830437604321 T^{16} )^{2} \))(\( ( 1 - 312 T^{2} + 41500 T^{4} - 3304648 T^{6} + 204947494 T^{8} - 11503479688 T^{10} + 502870481500 T^{12} - 13160326495992 T^{14} + 146830437604321 T^{16} )^{2} \))(\( ( 1 + 86 T^{2} + 3481 T^{4} )^{2} \))(\( ( 1 - 4 T + 59 T^{2} )^{4} \))(\( ( 1 + 4 T + 59 T^{2} )^{4} \))(\( ( 1 + 116 T^{2} + 3481 T^{4} )^{2} \))(\( ( 1 + 86 T^{2} + 3481 T^{4} )^{2} \))(\( ( 1 + 64 T^{2} + 4686 T^{4} + 222784 T^{6} + 12117361 T^{8} )^{4} \))(\( ( 1 - 68 T^{2} + 3766 T^{4} - 236708 T^{6} + 12117361 T^{8} )^{4} \))(\( ( 1 + 98 T^{2} + 3481 T^{4} )^{2} \))(\( ( 1 - 16 T + 128 T^{2} - 944 T^{3} + 3481 T^{4} )( 1 + 16 T + 128 T^{2} + 944 T^{3} + 3481 T^{4} ) \))(\( ( 1 - 10 T^{2} + 3481 T^{4} )^{2} \))(\( ( 1 - 10 T^{2} + 3481 T^{4} )^{2} \))(\( ( 1 - 10 T^{2} + 3481 T^{4} )^{2} \))(\( ( 1 - 10 T^{2} + 3481 T^{4} )^{2} \))(\( ( 1 + 98 T^{2} + 3481 T^{4} )^{2} \))(\( ( 1 - 16 T + 128 T^{2} - 944 T^{3} + 3481 T^{4} )( 1 + 16 T + 128 T^{2} + 944 T^{3} + 3481 T^{4} ) \))(\( ( 1 - 59 T^{2} )^{8} \))(\( 1 + 4 T - 43 T^{2} - 408 T^{3} + 905 T^{4} - 24072 T^{5} - 149683 T^{6} + 821516 T^{7} + 12117361 T^{8} \))(\( 1 + 20 T + 181 T^{2} + 1600 T^{3} + 14601 T^{4} + 94400 T^{5} + 630061 T^{6} + 4107580 T^{7} + 12117361 T^{8} \))(\( 1 + 18 T - 18 T^{2} - 1235 T^{3} + 5613 T^{4} + 29020 T^{5} - 1058152 T^{6} - 1397672 T^{7} + 38338731 T^{8} - 216188264 T^{9} - 1105236563 T^{10} + 14175927219 T^{11} + 109937262627 T^{12} + 836379705921 T^{13} - 3847328475803 T^{14} - 44400529472056 T^{15} + 464564243808891 T^{16} - 999229674831928 T^{17} - 44633416033291432 T^{18} + 72220666089447380 T^{19} + 824159246273053773 T^{20} - 10698799836038849665 T^{21} - 9200101559411545218 T^{22} + \)\(54\!\cdots\!62\)\( T^{23} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 - 30 T + 436 T^{2} - 4313 T^{3} + 33565 T^{4} - 209466 T^{5} + 1021094 T^{6} - 2212898 T^{7} - 36641327 T^{8} + 640698778 T^{9} - 6001464063 T^{10} + 43773532901 T^{11} - 315259999781 T^{12} + 2582638441159 T^{13} - 20891096403303 T^{14} + 131586074326862 T^{15} - 443996186778047 T^{16} - 1582054551408502 T^{17} + 43070289817623254 T^{18} - 521287871919096654 T^{19} + 4928363638189034365 T^{20} - 37363500965858751907 T^{21} + \)\(22\!\cdots\!36\)\( T^{22} - \)\(90\!\cdots\!70\)\( T^{23} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 - 17 T + 67 T^{2} + 1786 T^{3} - 29082 T^{4} + 134393 T^{5} + 1350421 T^{6} - 22790660 T^{7} + 98219119 T^{8} + 705586517 T^{9} - 11270936318 T^{10} + 40071842619 T^{11} + 344001229010 T^{12} - 4639549795409 T^{13} + 15333151361563 T^{14} + 139044914218547 T^{15} - 2018706118605762 T^{16} + 8203649938894273 T^{17} + 53374699889600803 T^{18} - 952866097431305011 T^{19} + 4168387076357842610 T^{20} + 28648333994026899081 T^{21} - \)\(47\!\cdots\!38\)\( T^{22} + \)\(17\!\cdots\!23\)\( T^{23} + \)\(14\!\cdots\!99\)\( T^{24} - \)\(19\!\cdots\!40\)\( T^{25} + \)\(69\!\cdots\!21\)\( T^{26} + \)\(40\!\cdots\!87\)\( T^{27} - \)\(51\!\cdots\!42\)\( T^{28} + \)\(18\!\cdots\!94\)\( T^{29} + \)\(41\!\cdots\!87\)\( T^{30} - \)\(62\!\cdots\!83\)\( T^{31} + \)\(21\!\cdots\!41\)\( T^{32} \))(\( 1 - 19 T + 129 T^{2} - 1160 T^{3} + 25040 T^{4} - 288437 T^{5} + 1694753 T^{6} - 14995468 T^{7} + 226790345 T^{8} - 1902780635 T^{9} + 9262353740 T^{10} - 88223914455 T^{11} + 1150507277210 T^{12} - 7471612977135 T^{13} + 31381927236055 T^{14} - 382903389887975 T^{15} + 4328288428211110 T^{16} - 22591300003390525 T^{17} + 109240488708707455 T^{18} - 1534512401631009165 T^{19} + 13941112011080642810 T^{20} - 63073420196776842045 T^{21} + \)\(39\!\cdots\!40\)\( T^{22} - \)\(47\!\cdots\!65\)\( T^{23} + \)\(33\!\cdots\!45\)\( T^{24} - \)\(12\!\cdots\!52\)\( T^{25} + \)\(86\!\cdots\!53\)\( T^{26} - \)\(86\!\cdots\!83\)\( T^{27} + \)\(44\!\cdots\!40\)\( T^{28} - \)\(12\!\cdots\!40\)\( T^{29} + \)\(79\!\cdots\!69\)\( T^{30} - \)\(69\!\cdots\!81\)\( T^{31} + \)\(21\!\cdots\!41\)\( T^{32} \))(\( 1 + 12 T + 50 T^{2} + 80 T^{3} + 2075 T^{4} + 13036 T^{5} - 73828 T^{6} - 1828800 T^{7} - 12995755 T^{8} - 107899200 T^{9} - 256995268 T^{10} + 2677320644 T^{11} + 25143524075 T^{12} + 57193943920 T^{13} + 2109026682050 T^{14} + 29863817817828 T^{15} + 146830437604321 T^{16} \))(\( ( 1 + 16 T + 128 T^{2} + 944 T^{3} + 3481 T^{4} )^{4}( 1 + 16 T + 128 T^{2} + 944 T^{3} + 10343 T^{4} + 46256 T^{5} - 138240 T^{6} - 1654880 T^{7} - 1121679 T^{8} - 97637920 T^{9} - 481213440 T^{10} + 9500011024 T^{11} + 125329864823 T^{12} + 674888538256 T^{13} + 5399108306048 T^{14} + 39818423757104 T^{15} + 146830437604321 T^{16} ) \))(\( ( 1 - 16 T + 128 T^{2} - 944 T^{3} + 3481 T^{4} )^{4}( 1 - 16 T + 128 T^{2} - 944 T^{3} + 10343 T^{4} - 46256 T^{5} - 138240 T^{6} + 1654880 T^{7} - 1121679 T^{8} + 97637920 T^{9} - 481213440 T^{10} - 9500011024 T^{11} + 125329864823 T^{12} - 674888538256 T^{13} + 5399108306048 T^{14} - 39818423757104 T^{15} + 146830437604321 T^{16} ) \))
$61$ (\( 1 - 6 T + 61 T^{2} \))(\( 1 + 13 T + 61 T^{2} \))(\( 1 - 14 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 - 3 T + 61 T^{2} \))(\( 1 - 3 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 + 13 T + 61 T^{2} \))(\( ( 1 - 61 T^{2} )^{2} \))(\( ( 1 - 61 T^{2} )^{4} \))(\( ( 1 - 2 T + 61 T^{2} )^{2}( 1 + 2 T + 61 T^{2} )^{2} \))(\( ( 1 - 61 T^{2} )^{4} \))(\( 1 - 280 T^{2} + 39452 T^{4} - 3783016 T^{6} + 267380710 T^{8} - 14076602536 T^{10} + 546246119132 T^{12} - 14425704821080 T^{14} + 191707312997281 T^{16} \))(\( 1 - 280 T^{2} + 39452 T^{4} - 3783016 T^{6} + 267380710 T^{8} - 14076602536 T^{10} + 546246119132 T^{12} - 14425704821080 T^{14} + 191707312997281 T^{16} \))(\( ( 1 - 212 T^{2} + 24168 T^{4} - 1817654 T^{6} + 89929128 T^{8} - 2935318292 T^{10} + 51520374361 T^{12} )^{2} \))(\( ( 1 - 212 T^{2} + 24168 T^{4} - 1817654 T^{6} + 89929128 T^{8} - 2935318292 T^{10} + 51520374361 T^{12} )^{2} \))(\( ( 1 - 50 T^{2} + 3721 T^{4} )^{8} \))(\( 1 - 58 T^{2} + 3721 T^{4} \))(\( ( 1 - 61 T^{2} )^{2} \))(\( ( 1 - 61 T^{2} )^{2} \))(\( 1 - 58 T^{2} + 3721 T^{4} \))(\( 1 - 110 T^{2} + 10759 T^{4} - 685796 T^{6} + 40034239 T^{8} - 1523042510 T^{10} + 51520374361 T^{12} \))(\( 1 - 110 T^{2} + 10759 T^{4} - 685796 T^{6} + 40034239 T^{8} - 1523042510 T^{10} + 51520374361 T^{12} \))(\( 1 - 252 T^{2} + 32650 T^{4} - 2942672 T^{6} + 202734451 T^{8} - 10949682512 T^{10} + 452066708650 T^{12} - 12983134338972 T^{14} + 191707312997281 T^{16} \))(\( 1 - 252 T^{2} + 32650 T^{4} - 2942672 T^{6} + 202734451 T^{8} - 10949682512 T^{10} + 452066708650 T^{12} - 12983134338972 T^{14} + 191707312997281 T^{16} \))(\( ( 1 - 3 T + 61 T^{2} )^{2} \))(\( ( 1 - 14 T + 61 T^{2} )^{2} \))(\( ( 1 - 6 T + 61 T^{2} )^{2} \))(\( ( 1 + 13 T + 61 T^{2} )^{2} \))(\( ( 1 + 2 T + 61 T^{2} )^{2} \))(\( 1 - 58 T^{2} + 3721 T^{4} \))(\( ( 1 - 61 T^{2} )^{2} \))(\( 1 - 110 T^{2} + 10759 T^{4} - 685796 T^{6} + 40034239 T^{8} - 1523042510 T^{10} + 51520374361 T^{12} \))(\( 1 - 252 T^{2} + 32650 T^{4} - 2942672 T^{6} + 202734451 T^{8} - 10949682512 T^{10} + 452066708650 T^{12} - 12983134338972 T^{14} + 191707312997281 T^{16} \))(\( 1 - 252 T^{2} + 32650 T^{4} - 2942672 T^{6} + 202734451 T^{8} - 10949682512 T^{10} + 452066708650 T^{12} - 12983134338972 T^{14} + 191707312997281 T^{16} \))(\( ( 1 - 190 T^{2} + 20039 T^{4} - 1419204 T^{6} + 74565119 T^{8} - 2630709790 T^{10} + 51520374361 T^{12} )^{2} \))(\( ( 1 - 61 T^{2} )^{4} \))(\( ( 1 - 61 T^{2} )^{8} \))(\( ( 1 - 280 T^{2} + 39452 T^{4} - 3783016 T^{6} + 267380710 T^{8} - 14076602536 T^{10} + 546246119132 T^{12} - 14425704821080 T^{14} + 191707312997281 T^{16} )^{2} \))(\( ( 1 - 280 T^{2} + 39452 T^{4} - 3783016 T^{6} + 267380710 T^{8} - 14076602536 T^{10} + 546246119132 T^{12} - 14425704821080 T^{14} + 191707312997281 T^{16} )^{2} \))(\( ( 1 + 6 T + 61 T^{2} )^{4} \))(\( ( 1 - 12 T + 126 T^{2} - 732 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 - 12 T + 126 T^{2} - 732 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 + 6 T + 61 T^{2} )^{4} \))(\( ( 1 + 6 T + 61 T^{2} )^{4} \))(\( ( 1 + 3 T + 116 T^{2} + 183 T^{3} + 3721 T^{4} )^{8} \))(\( ( 1 - 132 T^{2} + 10710 T^{4} - 491172 T^{6} + 13845841 T^{8} )^{4} \))(\( ( 1 - 61 T^{2} )^{4} \))(\( ( 1 - 61 T^{2} )^{4} \))(\( ( 1 - 110 T^{2} + 3721 T^{4} )^{2} \))(\( ( 1 - 110 T^{2} + 3721 T^{4} )^{2} \))(\( ( 1 - 110 T^{2} + 3721 T^{4} )^{2} \))(\( ( 1 - 110 T^{2} + 3721 T^{4} )^{2} \))(\( ( 1 - 61 T^{2} )^{4} \))(\( ( 1 - 61 T^{2} )^{4} \))(\( ( 1 - 2 T + 61 T^{2} )^{4}( 1 + 2 T + 61 T^{2} )^{4} \))(\( 1 + 12 T - 7 T^{2} - 576 T^{3} - 3335 T^{4} - 35136 T^{5} - 26047 T^{6} + 2723772 T^{7} + 13845841 T^{8} \))(\( 1 + 16 T + 45 T^{2} - 976 T^{3} - 12871 T^{4} - 59536 T^{5} + 167445 T^{6} + 3631696 T^{7} + 13845841 T^{8} \))(\( 1 - 10 T + 72 T^{3} + 4710 T^{4} - 101480 T^{5} + 445553 T^{6} + 3503930 T^{7} - 11296860 T^{8} - 302000916 T^{9} + 3406593430 T^{10} - 56111270 T^{11} - 201406750195 T^{12} - 3422787470 T^{13} + 12675934153030 T^{14} - 68548469914596 T^{15} - 156414527359260 T^{16} + 2959406316962930 T^{17} + 22955057357666633 T^{18} - 318925542999411080 T^{19} + 902941444217193510 T^{20} + 841978518684058152 T^{21} - \)\(43\!\cdots\!10\)\( T^{23} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( 1 - 12 T + 6 T^{2} + 746 T^{3} - 9692 T^{4} + 127584 T^{5} - 347225 T^{6} - 9140734 T^{7} + 100738104 T^{8} - 507594840 T^{9} + 1544639732 T^{10} + 37325579612 T^{11} - 557171920119 T^{12} + 2276860356332 T^{13} + 5747604442772 T^{14} - 115214384378040 T^{15} + 1394803770625464 T^{16} - 7720230124824934 T^{17} - 17889161987498225 T^{18} + 400963701990903264 T^{19} - 1858027277569647452 T^{20} + 8723832985254269186 T^{21} + 4280057469977295606 T^{22} - \)\(52\!\cdots\!32\)\( T^{23} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( 1 - 12 T + 53 T^{2} - 1356 T^{3} + 16999 T^{4} - 55300 T^{5} + 605424 T^{6} - 10326668 T^{7} + 30808128 T^{8} + 55025398 T^{9} + 2094720597 T^{10} - 8172256146 T^{11} - 201623900330 T^{12} + 1578818447594 T^{13} - 5282364925466 T^{14} + 107598341315904 T^{15} - 1408222667179139 T^{16} + 6563498820270144 T^{17} - 19655679887658986 T^{18} + 358361790053333714 T^{19} - 2791652465769027530 T^{20} - 6902257311736115946 T^{21} + \)\(10\!\cdots\!17\)\( T^{22} + \)\(17\!\cdots\!58\)\( T^{23} + \)\(59\!\cdots\!68\)\( T^{24} - \)\(12\!\cdots\!88\)\( T^{25} + \)\(43\!\cdots\!24\)\( T^{26} - \)\(24\!\cdots\!00\)\( T^{27} + \)\(45\!\cdots\!79\)\( T^{28} - \)\(21\!\cdots\!36\)\( T^{29} + \)\(52\!\cdots\!73\)\( T^{30} - \)\(72\!\cdots\!12\)\( T^{31} + \)\(36\!\cdots\!61\)\( T^{32} \))(\( 1 + 22 T + 31 T^{2} - 2260 T^{3} - 9765 T^{4} + 42256 T^{5} - 525198 T^{6} + 1723496 T^{7} + 129310670 T^{8} - 5611470 T^{9} - 6192605315 T^{10} + 17734682310 T^{11} - 22696997740 T^{12} - 2775759070870 T^{13} + 16327017249120 T^{14} + 93758798051200 T^{15} - 1255207010295715 T^{16} + 5719286681123200 T^{17} + 60752831183975520 T^{18} - 630044569665143470 T^{19} - 314259021885399340 T^{20} + 14978647078436135310 T^{21} - \)\(31\!\cdots\!15\)\( T^{22} - 17635407142046760870 T^{23} + \)\(24\!\cdots\!70\)\( T^{24} + \)\(20\!\cdots\!36\)\( T^{25} - \)\(37\!\cdots\!98\)\( T^{26} + \)\(18\!\cdots\!16\)\( T^{27} - \)\(25\!\cdots\!65\)\( T^{28} - \)\(36\!\cdots\!60\)\( T^{29} + \)\(30\!\cdots\!71\)\( T^{30} + \)\(13\!\cdots\!22\)\( T^{31} + \)\(36\!\cdots\!61\)\( T^{32} \))(\( 1 + 4 T - 70 T^{2} + 500 T^{3} + 10415 T^{4} + 26052 T^{5} - 316772 T^{6} + 1666080 T^{7} + 59361925 T^{8} + 101630880 T^{9} - 1178708612 T^{10} + 5913309012 T^{11} + 144204434015 T^{12} + 422298150500 T^{13} - 3606426205270 T^{14} + 12570971344084 T^{15} + 191707312997281 T^{16} \))(\( ( 1 + 61 T^{2} + 3721 T^{4} + 226981 T^{6} + 13845841 T^{8} )^{4} \))(\( ( 1 + 61 T^{2} + 3721 T^{4} + 226981 T^{6} + 13845841 T^{8} )^{4} \))
$67$ (\( 1 - 4 T + 67 T^{2} \))(\( 1 + 7 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 - 8 T + 67 T^{2} \))(\( 1 - T + 67 T^{2} \))(\( 1 + T + 67 T^{2} \))(\( 1 + 8 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 - 7 T + 67 T^{2} \))(\( ( 1 + 14 T + 67 T^{2} )^{2} \))(\( ( 1 - 14 T + 129 T^{2} - 938 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 + 67 T^{2} )^{4} \))(\( ( 1 + 14 T + 129 T^{2} + 938 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 - 16 T + 216 T^{2} - 2388 T^{3} + 22862 T^{4} - 159996 T^{5} + 969624 T^{6} - 4812208 T^{7} + 20151121 T^{8} )^{2} \))(\( ( 1 - 16 T + 216 T^{2} - 2388 T^{3} + 22862 T^{4} - 159996 T^{5} + 969624 T^{6} - 4812208 T^{7} + 20151121 T^{8} )^{2} \))(\( ( 1 - 15 T + 266 T^{2} - 2093 T^{3} + 17822 T^{4} - 67335 T^{5} + 300763 T^{6} )^{4} \))(\( ( 1 + 15 T + 266 T^{2} + 2093 T^{3} + 17822 T^{4} + 67335 T^{5} + 300763 T^{6} )^{4} \))(\( ( 1 + 252 T^{2} + 24846 T^{4} + 1131228 T^{6} + 20151121 T^{8} )^{4} \))(\( ( 1 + 12 T + 67 T^{2} )^{2} \))(\( ( 1 + 12 T + 67 T^{2} )^{2} \))(\( ( 1 - 12 T + 67 T^{2} )^{2} \))(\( ( 1 - 12 T + 67 T^{2} )^{2} \))(\( ( 1 + 4 T + 67 T^{2} )^{6} \))(\( ( 1 - 4 T + 67 T^{2} )^{6} \))(\( ( 1 - 12 T + 154 T^{2} - 1520 T^{3} + 16755 T^{4} - 101840 T^{5} + 691306 T^{6} - 3609156 T^{7} + 20151121 T^{8} )^{2} \))(\( ( 1 + 12 T + 154 T^{2} + 1520 T^{3} + 16755 T^{4} + 101840 T^{5} + 691306 T^{6} + 3609156 T^{7} + 20151121 T^{8} )^{2} \))(\( 1 - 133 T^{2} + 4489 T^{4} \))(\( 1 - 118 T^{2} + 4489 T^{4} \))(\( 1 - 118 T^{2} + 4489 T^{4} \))(\( 1 - 85 T^{2} + 4489 T^{4} \))(\( 1 - 118 T^{2} + 4489 T^{4} \))(\( 1 + 10 T^{2} + 4489 T^{4} \))(\( 1 + 10 T^{2} + 4489 T^{4} \))(\( ( 1 - 118 T^{2} + 4489 T^{4} )^{3} \))(\( 1 - 164 T^{2} + 20746 T^{4} - 1788592 T^{6} + 137741171 T^{8} - 8028989488 T^{10} + 418055156266 T^{12} - 14835174675716 T^{14} + 406067677556641 T^{16} \))(\( 1 - 164 T^{2} + 20746 T^{4} - 1788592 T^{6} + 137741171 T^{8} - 8028989488 T^{10} + 418055156266 T^{12} - 14835174675716 T^{14} + 406067677556641 T^{16} \))(\( ( 1 - 274 T^{2} + 37127 T^{4} - 3112476 T^{6} + 166663103 T^{8} - 5521407154 T^{10} + 90458382169 T^{12} )^{2} \))(\( ( 1 + 62 T^{2} + 4489 T^{4} )^{2} \))(\( ( 1 - 62 T^{2} - 645 T^{4} - 278318 T^{6} + 20151121 T^{8} )^{2} \))(\( ( 1 - 176 T^{2} + 15964 T^{4} - 993216 T^{6} + 63719302 T^{8} - 4458546624 T^{10} + 321692495644 T^{12} - 15920675261744 T^{14} + 406067677556641 T^{16} )^{2} \))(\( ( 1 - 176 T^{2} + 15964 T^{4} - 993216 T^{6} + 63719302 T^{8} - 4458546624 T^{10} + 321692495644 T^{12} - 15920675261744 T^{14} + 406067677556641 T^{16} )^{2} \))(\( ( 1 + 12 T + 72 T^{2} + 804 T^{3} + 4489 T^{4} )^{2} \))(\( 1 + 12 T + 72 T^{2} - 180 T^{3} - 6274 T^{4} - 12060 T^{5} + 323208 T^{6} + 3609156 T^{7} + 20151121 T^{8} \))(\( 1 + 12 T + 72 T^{2} - 180 T^{3} - 6274 T^{4} - 12060 T^{5} + 323208 T^{6} + 3609156 T^{7} + 20151121 T^{8} \))(\( ( 1 + 8 T + 32 T^{2} + 536 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 - 12 T + 72 T^{2} - 804 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 + 8183 T^{4} + 20151121 T^{8} )^{4} \))(\( ( 1 + 3428 T^{4} + 7988838 T^{8} + 69078042788 T^{12} + 406067677556641 T^{16} )^{2} \))(\( 1 - 8302 T^{4} + 20151121 T^{8} \))(\( ( 1 + 4489 T^{4} )^{2} \))(\( 1 - 2578 T^{4} + 20151121 T^{8} \))(\( 1 - 2578 T^{4} + 20151121 T^{8} \))(\( 1 - 2578 T^{4} + 20151121 T^{8} \))(\( 1 - 2578 T^{4} + 20151121 T^{8} \))(\( 1 - 8302 T^{4} + 20151121 T^{8} \))(\( ( 1 + 4489 T^{4} )^{2} \))(\( ( 1 + 4489 T^{4} )^{4} \))(\( 1 - 8 T - 43 T^{2} + 410 T^{3} + 1021 T^{4} + 27470 T^{5} - 193027 T^{6} - 2406104 T^{7} + 20151121 T^{8} \))(\( 1 + 4 T + 29 T^{2} - 142 T^{3} + 349 T^{4} - 9514 T^{5} + 130181 T^{6} + 1203052 T^{7} + 20151121 T^{8} \))(\( 1 + 40 T + 692 T^{2} + 6932 T^{3} + 46843 T^{4} + 191168 T^{5} - 873280 T^{6} - 26453460 T^{7} - 266944088 T^{8} - 1851451004 T^{9} - 9356071432 T^{10} - 4745528868 T^{11} + 298496472496 T^{12} - 317950434156 T^{13} - 41999404658248 T^{14} - 556847958316052 T^{15} - 5379222617522648 T^{16} - 35715480513020220 T^{17} - 78995495980544320 T^{18} + 1158614116166387264 T^{19} + 19021428219785734363 T^{20} + \)\(18\!\cdots\!04\)\( T^{21} + \)\(12\!\cdots\!08\)\( T^{22} + \)\(48\!\cdots\!20\)\( T^{23} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( 1 + 2 T - 212 T^{2} + 466 T^{3} + 21891 T^{4} - 164706 T^{5} - 1257844 T^{6} + 20046516 T^{7} - 8074324 T^{8} - 1447732210 T^{9} + 8524146084 T^{10} + 44694877024 T^{11} - 799928687048 T^{12} + 2994556760608 T^{13} + 38264891771076 T^{14} - 435424282676230 T^{15} - 162706679917204 T^{16} + 27065304559477212 T^{17} - 113782533260983636 T^{18} - 998235565666330038 T^{19} + 8889227529392428131 T^{20} + 12678245028673445302 T^{21} - \)\(38\!\cdots\!88\)\( T^{22} + \)\(24\!\cdots\!66\)\( T^{23} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( 1 - 30 T + 429 T^{2} - 4360 T^{3} + 46864 T^{4} - 528770 T^{5} + 4637524 T^{6} - 31794670 T^{7} + 219362736 T^{8} - 1358174200 T^{9} + 2163410507 T^{10} + 55824086530 T^{11} - 835531731809 T^{12} + 11654129013360 T^{13} - 139047386199168 T^{14} + 1190689304944300 T^{15} - 9096401579025608 T^{16} + 79776183431268100 T^{17} - 624183716648065152 T^{18} + 3505130804445193680 T^{19} - 16836901027022707889 T^{20} + 75369500799493508710 T^{21} + \)\(19\!\cdots\!83\)\( T^{22} - \)\(82\!\cdots\!00\)\( T^{23} + \)\(89\!\cdots\!76\)\( T^{24} - \)\(86\!\cdots\!90\)\( T^{25} + \)\(84\!\cdots\!76\)\( T^{26} - \)\(64\!\cdots\!10\)\( T^{27} + \)\(38\!\cdots\!04\)\( T^{28} - \)\(23\!\cdots\!20\)\( T^{29} + \)\(15\!\cdots\!41\)\( T^{30} - \)\(73\!\cdots\!90\)\( T^{31} + \)\(16\!\cdots\!81\)\( T^{32} \))(\( 1 - 16 T + 77 T^{2} + 600 T^{3} - 13880 T^{4} + 192072 T^{5} - 1195552 T^{6} - 2037996 T^{7} + 108228880 T^{8} - 1219899240 T^{9} + 7421304759 T^{10} + 17194739416 T^{11} - 611732101517 T^{12} + 4494509961040 T^{13} - 15291073893800 T^{14} - 174985796637988 T^{15} + 2914862249413888 T^{16} - 11724048374745196 T^{17} - 68641630709268200 T^{18} + 1351782299412273520 T^{19} - 12327087597253350557 T^{20} + 23215049393864117512 T^{21} + \)\(67\!\cdots\!71\)\( T^{22} - \)\(73\!\cdots\!20\)\( T^{23} + \)\(43\!\cdots\!80\)\( T^{24} - \)\(55\!\cdots\!12\)\( T^{25} - \)\(21\!\cdots\!48\)\( T^{26} + \)\(23\!\cdots\!76\)\( T^{27} - \)\(11\!\cdots\!80\)\( T^{28} + \)\(32\!\cdots\!00\)\( T^{29} + \)\(28\!\cdots\!33\)\( T^{30} - \)\(39\!\cdots\!88\)\( T^{31} + \)\(16\!\cdots\!81\)\( T^{32} \))(\( 1 + 30 T + 360 T^{2} + 120 T^{3} - 53529 T^{4} - 698670 T^{5} - 2413610 T^{6} + 37093200 T^{7} + 549812901 T^{8} + 2485244400 T^{9} - 10834695290 T^{10} - 210134085210 T^{11} - 1078669356009 T^{12} + 162015012840 T^{13} + 32565017580840 T^{14} + 181821348159690 T^{15} + 406067677556641 T^{16} \))(\( ( 1 - 4489 T^{4} + 20151121 T^{8} - 90458382169 T^{12} + 406067677556641 T^{16} )^{2} \))(\( ( 1 - 4489 T^{4} + 20151121 T^{8} - 90458382169 T^{12} + 406067677556641 T^{16} )^{2} \))
$71$ (\( 1 + 71 T^{2} \))(\( 1 + 4 T + 71 T^{2} \))(\( 1 - 8 T + 71 T^{2} \))(\( 1 + 4 T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 + 4 T + 71 T^{2} \))(\( 1 - 8 T + 71 T^{2} \))(\( 1 + 4 T + 71 T^{2} \))(\( ( 1 + 71 T^{2} )^{2} \))(\( ( 1 + 71 T^{2} )^{4} \))(\( ( 1 + 71 T^{2} )^{4} \))(\( ( 1 + 71 T^{2} )^{4} \))(\( ( 1 + 12 T + 220 T^{2} + 1564 T^{3} + 18854 T^{4} + 111044 T^{5} + 1109020 T^{6} + 4294932 T^{7} + 25411681 T^{8} )^{2} \))(\( ( 1 - 12 T + 220 T^{2} - 1564 T^{3} + 18854 T^{4} - 111044 T^{5} + 1109020 T^{6} - 4294932 T^{7} + 25411681 T^{8} )^{2} \))(\( ( 1 + 190 T^{2} + 23367 T^{4} + 1843444 T^{6} + 117793047 T^{8} + 4828219390 T^{10} + 128100283921 T^{12} )^{2} \))(\( ( 1 + 190 T^{2} + 23367 T^{4} + 1843444 T^{6} + 117793047 T^{8} + 4828219390 T^{10} + 128100283921 T^{12} )^{2} \))(\( ( 1 + 92 T^{2} + 10150 T^{4} + 463772 T^{6} + 25411681 T^{8} )^{4} \))(\( ( 1 + 4 T + 71 T^{2} )^{2} \))(\( ( 1 - 12 T + 71 T^{2} )^{2} \))(\( ( 1 - 12 T + 71 T^{2} )^{2} \))(\( ( 1 + 4 T + 71 T^{2} )^{2} \))(\( ( 1 + 4 T + 101 T^{2} + 632 T^{3} + 7171 T^{4} + 20164 T^{5} + 357911 T^{6} )^{2} \))(\( ( 1 + 4 T + 101 T^{2} + 632 T^{3} + 7171 T^{4} + 20164 T^{5} + 357911 T^{6} )^{2} \))(\( ( 1 + 20 T + 380 T^{2} + 4188 T^{3} + 43342 T^{4} + 297348 T^{5} + 1915580 T^{6} + 7158220 T^{7} + 25411681 T^{8} )^{2} \))(\( ( 1 + 20 T + 380 T^{2} + 4188 T^{3} + 43342 T^{4} + 297348 T^{5} + 1915580 T^{6} + 7158220 T^{7} + 25411681 T^{8} )^{2} \))(\( ( 1 + 12 T + 71 T^{2} )^{2} \))(\( ( 1 - 8 T + 71 T^{2} )^{2} \))(\( ( 1 + 71 T^{2} )^{2} \))(\( ( 1 + 4 T + 71 T^{2} )^{2} \))(\( ( 1 - 8 T + 71 T^{2} )^{2} \))(\( ( 1 + 4 T + 71 T^{2} )^{2} \))(\( ( 1 - 12 T + 71 T^{2} )^{2} \))(\( ( 1 + 4 T + 101 T^{2} + 632 T^{3} + 7171 T^{4} + 20164 T^{5} + 357911 T^{6} )^{2} \))(\( ( 1 + 20 T + 380 T^{2} + 4188 T^{3} + 43342 T^{4} + 297348 T^{5} + 1915580 T^{6} + 7158220 T^{7} + 25411681 T^{8} )^{2} \))(\( ( 1 + 20 T + 380 T^{2} + 4188 T^{3} + 43342 T^{4} + 297348 T^{5} + 1915580 T^{6} + 7158220 T^{7} + 25411681 T^{8} )^{2} \))(\( ( 1 - 8 T + 133 T^{2} - 1008 T^{3} + 9443 T^{4} - 40328 T^{5} + 357911 T^{6} )^{4} \))(\( ( 1 + 71 T^{2} )^{4} \))(\( ( 1 + 71 T^{2} )^{8} \))(\( ( 1 - 12 T + 220 T^{2} - 1564 T^{3} + 18854 T^{4} - 111044 T^{5} + 1109020 T^{6} - 4294932 T^{7} + 25411681 T^{8} )^{4} \))(\( ( 1 + 12 T + 220 T^{2} + 1564 T^{3} + 18854 T^{4} + 111044 T^{5} + 1109020 T^{6} + 4294932 T^{7} + 25411681 T^{8} )^{4} \))(\( ( 1 - 14 T^{2} + 5041 T^{4} )^{2} \))(\( 1 - 132 T^{2} + 13286 T^{4} - 665412 T^{6} + 25411681 T^{8} \))(\( 1 - 132 T^{2} + 13286 T^{4} - 665412 T^{6} + 25411681 T^{8} \))(\( ( 1 - 134 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 - 14 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 - 172 T^{2} + 15366 T^{4} - 867052 T^{6} + 25411681 T^{8} )^{4} \))(\( ( 1 + 84 T^{2} + 10758 T^{4} + 423444 T^{6} + 25411681 T^{8} )^{4} \))(\( ( 1 - 71 T^{2} )^{4} \))(\( ( 1 - 71 T^{2} )^{4} \))(\( ( 1 + 2 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 + 2 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 + 2 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 + 2 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 - 71 T^{2} )^{4} \))(\( ( 1 - 71 T^{2} )^{4} \))(\( ( 1 - 71 T^{2} )^{8} \))(\( 1 + 6 T + 5 T^{2} + 624 T^{3} + 8749 T^{4} + 44304 T^{5} + 25205 T^{6} + 2147466 T^{7} + 25411681 T^{8} \))(\( 1 + 10 T + 29 T^{2} - 420 T^{3} - 6259 T^{4} - 29820 T^{5} + 146189 T^{6} + 3579110 T^{7} + 25411681 T^{8} \))(\( 1 + 7 T - 124 T^{2} - 1231 T^{3} + 4013 T^{4} + 3121 T^{5} - 721385 T^{6} + 4918964 T^{7} + 139316934 T^{8} + 368093805 T^{9} - 6579936793 T^{10} - 33155872052 T^{11} + 42988364251 T^{12} - 2354066915692 T^{13} - 33169461373513 T^{14} + 131744821841355 T^{15} + 3540277484706054 T^{16} + 8874939225312364 T^{17} - 92409623316350585 T^{18} + 28385870014338311 T^{19} + 2591408920889238893 T^{20} - 56439504384410757161 T^{21} - \)\(40\!\cdots\!24\)\( T^{22} + \)\(16\!\cdots\!97\)\( T^{23} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( 1 - 25 T + 130 T^{2} + 2223 T^{3} - 32975 T^{4} + 119095 T^{5} + 674683 T^{6} - 13627400 T^{7} + 150112580 T^{8} - 635612129 T^{9} - 4916451595 T^{10} + 57740028920 T^{11} - 305552018205 T^{12} + 4099542053320 T^{13} - 24783832490395 T^{14} - 227492572702519 T^{15} + 3814612997046980 T^{16} - 24586955057817400 T^{17} + 86427083856672043 T^{18} + 1083183335263576145 T^{19} - 21293722692828968975 T^{20} + \)\(10\!\cdots\!13\)\( T^{21} + \)\(42\!\cdots\!30\)\( T^{22} - \)\(57\!\cdots\!75\)\( T^{23} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( 1 + T + 203 T^{2} + 338 T^{3} + 15158 T^{4} - 14979 T^{5} + 421859 T^{6} - 10141565 T^{7} - 17466831 T^{8} - 1068097726 T^{9} - 919723837 T^{10} - 57804934683 T^{11} + 292752779280 T^{12} - 1698095647328 T^{13} + 42500015959992 T^{14} + 18605502705406 T^{15} + 3354568746016793 T^{16} + 1320990692083826 T^{17} + 214242580454319672 T^{18} - 607767111230811808 T^{19} + 7439340238926769680 T^{20} - \)\(10\!\cdots\!33\)\( T^{21} - \)\(11\!\cdots\!77\)\( T^{22} - \)\(97\!\cdots\!66\)\( T^{23} - \)\(11\!\cdots\!91\)\( T^{24} - \)\(46\!\cdots\!15\)\( T^{25} + \)\(13\!\cdots\!59\)\( T^{26} - \)\(34\!\cdots\!09\)\( T^{27} + \)\(24\!\cdots\!78\)\( T^{28} + \)\(39\!\cdots\!18\)\( T^{29} + \)\(16\!\cdots\!43\)\( T^{30} + \)\(58\!\cdots\!51\)\( T^{31} + \)\(41\!\cdots\!21\)\( T^{32} \))(\( 1 - 23 T + 101 T^{2} + 2260 T^{3} - 29220 T^{4} + 36641 T^{5} + 1319857 T^{6} - 4204569 T^{7} - 60492055 T^{8} + 139466280 T^{9} + 6542860585 T^{10} - 59226002265 T^{11} + 104167074660 T^{12} + 1311008076380 T^{13} - 12951191840730 T^{14} + 120388609180150 T^{15} - 1146647436866215 T^{16} + 8547591251790650 T^{17} - 65286958069119930 T^{18} + 469224211625242180 T^{19} + 2647060471963103460 T^{20} - \)\(10\!\cdots\!15\)\( T^{21} + \)\(83\!\cdots\!85\)\( T^{22} + \)\(12\!\cdots\!80\)\( T^{23} - \)\(39\!\cdots\!55\)\( T^{24} - \)\(19\!\cdots\!39\)\( T^{25} + \)\(42\!\cdots\!57\)\( T^{26} + \)\(84\!\cdots\!11\)\( T^{27} - \)\(47\!\cdots\!20\)\( T^{28} + \)\(26\!\cdots\!60\)\( T^{29} + \)\(83\!\cdots\!81\)\( T^{30} - \)\(13\!\cdots\!73\)\( T^{31} + \)\(41\!\cdots\!21\)\( T^{32} \))(\( 1 - 8 T + 6 T^{2} - 82 T^{3} + 8251 T^{4} - 33704 T^{5} - 411606 T^{6} + 820044 T^{7} + 29031357 T^{8} + 58223124 T^{9} - 2074905846 T^{10} - 12063032344 T^{11} + 209671779931 T^{12} - 147946806782 T^{13} + 768601703526 T^{14} - 72760961267128 T^{15} + 645753531245761 T^{16} \))(\( ( 1 + 71 T^{2} + 5041 T^{4} + 357911 T^{6} + 25411681 T^{8} )^{4} \))(\( ( 1 + 71 T^{2} + 5041 T^{4} + 357911 T^{6} + 25411681 T^{8} )^{4} \))
$73$ (\( 1 - 14 T + 73 T^{2} \))(\( 1 - 6 T + 73 T^{2} \))(\( 1 - 6 T + 73 T^{2} \))(\( 1 + 4 T + 73 T^{2} \))(\( 1 + 10 T + 73 T^{2} \))(\( 1 - 10 T + 73 T^{2} \))(\( 1 - 4 T + 73 T^{2} \))(\( 1 + 10 T + 73 T^{2} \))(\( 1 + 6 T + 73 T^{2} \))(\( ( 1 + 2 T + 73 T^{2} )^{2} \))(\( ( 1 - 2 T - 69 T^{2} - 146 T^{3} + 5329 T^{4} )^{2} \))(\( ( 1 + 73 T^{2} )^{4} \))(\( ( 1 + 2 T - 69 T^{2} + 146 T^{3} + 5329 T^{4} )^{2} \))(\( ( 1 - 4 T + 180 T^{2} - 252 T^{3} + 14966 T^{4} - 18396 T^{5} + 959220 T^{6} - 1556068 T^{7} + 28398241 T^{8} )^{2} \))(\( ( 1 - 4 T + 180 T^{2} - 252 T^{3} + 14966 T^{4} - 18396 T^{5} + 959220 T^{6} - 1556068 T^{7} + 28398241 T^{8} )^{2} \))(\( ( 1 + 3 T + 131 T^{2} + 682 T^{3} + 9563 T^{4} + 15987 T^{5} + 389017 T^{6} )^{4} \))(\( ( 1 - 3 T + 131 T^{2} - 682 T^{3} + 9563 T^{4} - 15987 T^{5} + 389017 T^{6} )^{4} \))(\( ( 1 + 228 T^{2} + 23526 T^{4} + 1215012 T^{6} + 28398241 T^{8} )^{4} \))(\( 1 - 46 T^{2} + 5329 T^{4} \))(\( ( 1 - 16 T + 73 T^{2} )( 1 + 16 T + 73 T^{2} ) \))(\( ( 1 - 16 T + 73 T^{2} )( 1 + 16 T + 73 T^{2} ) \))(\( 1 - 46 T^{2} + 5329 T^{4} \))(\( ( 1 - 16 T + 73 T^{2} )^{3}( 1 + 16 T + 73 T^{2} )^{3} \))(\( ( 1 - 16 T + 73 T^{2} )^{3}( 1 + 16 T + 73 T^{2} )^{3} \))(\( 1 - 184 T^{2} + 15196 T^{4} - 1235336 T^{6} + 104948486 T^{8} - 6583105544 T^{10} + 431539670236 T^{12} - 27845497637176 T^{14} + 806460091894081 T^{16} \))(\( 1 - 184 T^{2} + 15196 T^{4} - 1235336 T^{6} + 104948486 T^{8} - 6583105544 T^{10} + 431539670236 T^{12} - 27845497637176 T^{14} + 806460091894081 T^{16} \))(\( 1 - 46 T^{2} + 5329 T^{4} \))(\( ( 1 - 16 T + 73 T^{2} )( 1 + 16 T + 73 T^{2} ) \))(\( 1 + 50 T^{2} + 5329 T^{4} \))(\( ( 1 - 16 T + 73 T^{2} )( 1 + 16 T + 73 T^{2} ) \))(\( 1 - 46 T^{2} + 5329 T^{4} \))(\( ( 1 + 10 T + 73 T^{2} )^{2} \))(\( ( 1 - 6 T + 73 T^{2} )^{2} \))(\( ( 1 - 6 T + 73 T^{2} )^{6} \))(\( ( 1 + 8 T + 124 T^{2} + 888 T^{3} + 7014 T^{4} + 64824 T^{5} + 660796 T^{6} + 3112136 T^{7} + 28398241 T^{8} )^{2} \))(\( ( 1 - 8 T + 124 T^{2} - 888 T^{3} + 7014 T^{4} - 64824 T^{5} + 660796 T^{6} - 3112136 T^{7} + 28398241 T^{8} )^{2} \))(\( ( 1 + 54 T^{2} + 2367 T^{4} + 531700 T^{6} + 12613743 T^{8} + 1533505014 T^{10} + 151334226289 T^{12} )^{2} \))(\( ( 1 - 142 T^{2} + 5329 T^{4} )^{2} \))(\( ( 1 + 142 T^{2} + 14835 T^{4} + 756718 T^{6} + 28398241 T^{8} )^{2} \))(\( ( 1 - 344 T^{2} + 60316 T^{4} - 7095528 T^{6} + 604376710 T^{8} - 37812068712 T^{10} + 1712868304156 T^{12} - 52058973843416 T^{14} + 806460091894081 T^{16} )^{2} \))(\( ( 1 - 344 T^{2} + 60316 T^{4} - 7095528 T^{6} + 604376710 T^{8} - 37812068712 T^{10} + 1712868304156 T^{12} - 52058973843416 T^{14} + 806460091894081 T^{16} )^{2} \))(\( ( 1 - 16 T + 128 T^{2} - 1168 T^{3} + 5329 T^{4} )^{2} \))(\( 1 + 4 T + 8 T^{2} + 44 T^{3} - 3602 T^{4} + 3212 T^{5} + 42632 T^{6} + 1556068 T^{7} + 28398241 T^{8} \))(\( 1 + 4 T + 8 T^{2} + 44 T^{3} - 3602 T^{4} + 3212 T^{5} + 42632 T^{6} + 1556068 T^{7} + 28398241 T^{8} \))(\( ( 1 + 6 T + 18 T^{2} + 438 T^{3} + 5329 T^{4} )^{2} \))(\( ( 1 + 16 T + 128 T^{2} + 1168 T^{3} + 5329 T^{4} )^{2} \))(\( ( 1 - 13807 T^{4} + 93449088 T^{8} - 392094513487 T^{12} + 806460091894081 T^{16} )^{2} \))(\( ( 1 - 3934 T^{4} + 28398241 T^{8} )^{4} \))(\( ( 1 + 5329 T^{4} )^{2} \))(\( ( 1 + 14 T + 73 T^{2} )^{2}( 1 + 50 T^{2} + 5329 T^{4} ) \))(\( ( 1 + 12 T + 72 T^{2} + 876 T^{3} + 5329 T^{4} )^{2} \))(\( ( 1 - 12 T + 72 T^{2} - 876 T^{3} + 5329 T^{4} )^{2} \))(\( ( 1 + 12 T + 72 T^{2} + 876 T^{3} + 5329 T^{4} )^{2} \))(\( ( 1 - 12 T + 72 T^{2} - 876 T^{3} + 5329 T^{4} )^{2} \))(\( ( 1 + 5329 T^{4} )^{2} \))(\( ( 1 + 14 T + 73 T^{2} )^{2}( 1 + 50 T^{2} + 5329 T^{4} ) \))(\( ( 1 + 5329 T^{4} )^{4} \))(\( 1 + 14 T + 23 T^{2} + 100 T^{3} + 5221 T^{4} + 7300 T^{5} + 122567 T^{6} + 5446238 T^{7} + 28398241 T^{8} \))(\( 1 - 26 T + 383 T^{2} - 4540 T^{3} + 44101 T^{4} - 331420 T^{5} + 2041007 T^{6} - 10114442 T^{7} + 28398241 T^{8} \))(\( 1 - 8 T + 12 T^{2} + 726 T^{3} - 1431 T^{4} + 72992 T^{5} - 352646 T^{6} + 3140104 T^{7} + 34272702 T^{8} + 117975808 T^{9} + 2591480182 T^{10} - 636485366 T^{11} + 271227486424 T^{12} - 46463431718 T^{13} + 13809997889878 T^{14} + 45894594900736 T^{15} + 973284451117182 T^{16} + 6509660401465672 T^{17} - 53367409563910694 T^{18} + 806371712705928224 T^{19} - 1154044391500429911 T^{20} + 42740771950202504838 T^{21} + 51571509956442691788 T^{22} - \)\(25\!\cdots\!16\)\( T^{23} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 - 12 T - 168 T^{2} + 2554 T^{3} + 4389 T^{4} - 136812 T^{5} + 364554 T^{6} - 6822024 T^{7} + 33539262 T^{8} + 900430892 T^{9} - 7008586758 T^{10} - 24221863494 T^{11} + 533869533344 T^{12} - 1768196035062 T^{13} - 37348758833382 T^{14} + 350282924313164 T^{15} + 952456045238142 T^{16} - 14142544161164232 T^{17} + 55169497530560106 T^{18} - 1511416686194698764 T^{19} + 3539553343323121509 T^{20} + \)\(15\!\cdots\!02\)\( T^{21} - \)\(72\!\cdots\!32\)\( T^{22} - \)\(37\!\cdots\!24\)\( T^{23} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 - 38 T + 771 T^{2} - 11546 T^{3} + 152766 T^{4} - 1804220 T^{5} + 18310140 T^{6} - 163023068 T^{7} + 1373090390 T^{8} - 11084891618 T^{9} + 87252097681 T^{10} - 769579580554 T^{11} + 8118316196347 T^{12} - 87452746222900 T^{13} + 903361304160908 T^{14} - 8954263698839048 T^{15} + 81473976838064520 T^{16} - 653661250015250504 T^{17} + 4814012389873478732 T^{18} - 34020604977393889300 T^{19} + \)\(23\!\cdots\!27\)\( T^{20} - \)\(15\!\cdots\!22\)\( T^{21} + \)\(13\!\cdots\!09\)\( T^{22} - \)\(12\!\cdots\!46\)\( T^{23} + \)\(11\!\cdots\!90\)\( T^{24} - \)\(95\!\cdots\!84\)\( T^{25} + \)\(78\!\cdots\!60\)\( T^{26} - \)\(56\!\cdots\!40\)\( T^{27} + \)\(34\!\cdots\!86\)\( T^{28} - \)\(19\!\cdots\!18\)\( T^{29} + \)\(94\!\cdots\!39\)\( T^{30} - \)\(33\!\cdots\!66\)\( T^{31} + \)\(65\!\cdots\!61\)\( T^{32} \))(\( 1 + 30 T + 343 T^{2} + 2430 T^{3} + 20390 T^{4} + 206520 T^{5} + 2578180 T^{6} + 27002760 T^{7} + 143305710 T^{8} + 836327910 T^{9} + 13649604949 T^{10} + 143457111570 T^{11} + 1085354844387 T^{12} + 6580292518380 T^{13} + 41069671739340 T^{14} + 698752787891520 T^{15} + 8764532038783480 T^{16} + 51008953516080960 T^{17} + 218860280698942860 T^{18} + 2559845654622632460 T^{19} + 30822168441419523267 T^{20} + \)\(29\!\cdots\!10\)\( T^{21} + \)\(20\!\cdots\!61\)\( T^{22} + \)\(92\!\cdots\!70\)\( T^{23} + \)\(11\!\cdots\!10\)\( T^{24} + \)\(15\!\cdots\!80\)\( T^{25} + \)\(11\!\cdots\!20\)\( T^{26} + \)\(64\!\cdots\!40\)\( T^{27} + \)\(46\!\cdots\!90\)\( T^{28} + \)\(40\!\cdots\!90\)\( T^{29} + \)\(41\!\cdots\!87\)\( T^{30} + \)\(26\!\cdots\!10\)\( T^{31} + \)\(65\!\cdots\!61\)\( T^{32} \))(\( 1 + 60 T + 1810 T^{2} + 37100 T^{3} + 586611 T^{4} + 7661660 T^{5} + 86136620 T^{6} + 856808960 T^{7} + 7682756861 T^{8} + 62547054080 T^{9} + 459022047980 T^{10} + 2980515988220 T^{11} + 16658720551251 T^{12} + 76910956100300 T^{13} + 273914949583090 T^{14} + 662843911145820 T^{15} + 806460091894081 T^{16} \))(\( ( 1 + 14 T + 123 T^{2} + 700 T^{3} + 821 T^{4} + 51100 T^{5} + 655467 T^{6} + 5446238 T^{7} + 28398241 T^{8} )^{2}( 1 - 50 T^{2} - 2829 T^{4} + 407900 T^{6} - 5319259 T^{8} + 2173699100 T^{10} - 80338623789 T^{12} - 7566711314450 T^{14} + 806460091894081 T^{16} ) \))(\( ( 1 + 14 T + 123 T^{2} + 700 T^{3} + 821 T^{4} + 51100 T^{5} + 655467 T^{6} + 5446238 T^{7} + 28398241 T^{8} )^{2}( 1 - 50 T^{2} - 2829 T^{4} + 407900 T^{6} - 5319259 T^{8} + 2173699100 T^{10} - 80338623789 T^{12} - 7566711314450 T^{14} + 806460091894081 T^{16} ) \))
$79$ (\( 1 - 16 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( ( 1 - 79 T^{2} )^{2} \))(\( ( 1 - 79 T^{2} )^{4} \))(\( ( 1 - 16 T + 79 T^{2} )^{2}( 1 + 16 T + 79 T^{2} )^{2} \))(\( ( 1 - 79 T^{2} )^{4} \))(\( 1 - 524 T^{2} + 125604 T^{4} - 18135668 T^{6} + 1736460342 T^{8} - 113184703988 T^{10} + 4892285973924 T^{12} - 127377826693004 T^{14} + 1517108809906561 T^{16} \))(\( 1 - 524 T^{2} + 125604 T^{4} - 18135668 T^{6} + 1736460342 T^{8} - 113184703988 T^{10} + 4892285973924 T^{12} - 127377826693004 T^{14} + 1517108809906561 T^{16} \))(\( ( 1 - 126 T^{2} + 21023 T^{4} - 1571716 T^{6} + 131204543 T^{8} - 4907710206 T^{10} + 243087455521 T^{12} )^{2} \))(\( ( 1 - 126 T^{2} + 21023 T^{4} - 1571716 T^{6} + 131204543 T^{8} - 4907710206 T^{10} + 243087455521 T^{12} )^{2} \))(\( ( 1 - 44 T^{2} - 5466 T^{4} - 274604 T^{6} + 38950081 T^{8} )^{4} \))(\( ( 1 - 14 T + 79 T^{2} )^{2} \))(\( ( 1 + 10 T + 79 T^{2} )^{2} \))(\( ( 1 + 10 T + 79 T^{2} )^{2} \))(\( ( 1 - 14 T + 79 T^{2} )^{2} \))(\( ( 1 + 18 T + 317 T^{2} + 2908 T^{3} + 25043 T^{4} + 112338 T^{5} + 493039 T^{6} )^{2} \))(\( ( 1 + 18 T + 317 T^{2} + 2908 T^{3} + 25043 T^{4} + 112338 T^{5} + 493039 T^{6} )^{2} \))(\( ( 1 - 8 T + 132 T^{2} - 1032 T^{3} + 16454 T^{4} - 81528 T^{5} + 823812 T^{6} - 3944312 T^{7} + 38950081 T^{8} )^{2} \))(\( ( 1 - 8 T + 132 T^{2} - 1032 T^{3} + 16454 T^{4} - 81528 T^{5} + 823812 T^{6} - 3944312 T^{7} + 38950081 T^{8} )^{2} \))(\( ( 1 - 8 T + 79 T^{2} )^{2} \))(\( ( 1 - 8 T + 79 T^{2} )^{2} \))(\( ( 1 + 16 T + 79 T^{2} )^{2} \))(\( ( 1 - 8 T + 79 T^{2} )^{2} \))(\( ( 1 - 8 T + 79 T^{2} )^{2} \))(\( ( 1 + 14 T + 79 T^{2} )^{2} \))(\( ( 1 - 10 T + 79 T^{2} )^{2} \))(\( ( 1 - 18 T + 317 T^{2} - 2908 T^{3} + 25043 T^{4} - 112338 T^{5} + 493039 T^{6} )^{2} \))(\( ( 1 + 8 T + 132 T^{2} + 1032 T^{3} + 16454 T^{4} + 81528 T^{5} + 823812 T^{6} + 3944312 T^{7} + 38950081 T^{8} )^{2} \))(\( ( 1 + 8 T + 132 T^{2} + 1032 T^{3} + 16454 T^{4} + 81528 T^{5} + 823812 T^{6} + 3944312 T^{7} + 38950081 T^{8} )^{2} \))(\( ( 1 + 8 T + 233 T^{2} + 1200 T^{3} + 18407 T^{4} + 49928 T^{5} + 493039 T^{6} )^{4} \))(\( ( 1 - 79 T^{2} )^{4} \))(\( ( 1 - 79 T^{2} )^{8} \))(\( ( 1 - 524 T^{2} + 125604 T^{4} - 18135668 T^{6} + 1736460342 T^{8} - 113184703988 T^{10} + 4892285973924 T^{12} - 127377826693004 T^{14} + 1517108809906561 T^{16} )^{2} \))(\( ( 1 - 524 T^{2} + 125604 T^{4} - 18135668 T^{6} + 1736460342 T^{8} - 113184703988 T^{10} + 4892285973924 T^{12} - 127377826693004 T^{14} + 1517108809906561 T^{16} )^{2} \))(\( ( 1 - 79 T^{2} )^{4} \))(\( 1 - 292 T^{2} + 33670 T^{4} - 1822372 T^{6} + 38950081 T^{8} \))(\( 1 - 292 T^{2} + 33670 T^{4} - 1822372 T^{6} + 38950081 T^{8} \))(\( ( 1 - 58 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 - 79 T^{2} )^{4} \))(\( ( 1 - 232 T^{2} + 24750 T^{4} - 1447912 T^{6} + 38950081 T^{8} )^{4} \))(\( ( 1 + 32 T^{2} - 6914 T^{4} + 199712 T^{6} + 38950081 T^{8} )^{4} \))(\( ( 1 + 38 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 - 10 T + 79 T^{2} )^{2}( 1 + 10 T + 79 T^{2} )^{2} \))(\( ( 1 - 94 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 - 94 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 - 94 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 - 94 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 + 38 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 - 10 T + 79 T^{2} )^{2}( 1 + 10 T + 79 T^{2} )^{2} \))(\( ( 1 + 98 T^{2} + 6241 T^{4} )^{4} \))(\( 1 - 28 T + 225 T^{2} + 1072 T^{3} - 27631 T^{4} + 84688 T^{5} + 1404225 T^{6} - 13805092 T^{7} + 38950081 T^{8} \))(\( 1 - 4 T - 63 T^{2} + 568 T^{3} + 2705 T^{4} + 44872 T^{5} - 393183 T^{6} - 1972156 T^{7} + 38950081 T^{8} \))(\( 1 + 26 T + 172 T^{2} + 314 T^{3} + 9496 T^{4} - 27324 T^{5} - 807829 T^{6} + 23321972 T^{7} + 205683214 T^{8} + 78525056 T^{9} + 14253773712 T^{10} + 51402011012 T^{11} - 1295638350751 T^{12} + 4060758869948 T^{13} + 88957801736592 T^{14} + 38715915085184 T^{15} + 8011377845640334 T^{16} + 71763023179898828 T^{17} - 196373096106073909 T^{18} - 524727609137808516 T^{19} + 14406465258872703256 T^{20} + 37633401138542152166 T^{21} + \)\(16\!\cdots\!72\)\( T^{22} + \)\(19\!\cdots\!54\)\( T^{23} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 - 34 T + 332 T^{2} - 126 T^{3} + 156 T^{4} - 215084 T^{5} + 2061351 T^{6} - 20567928 T^{7} + 169148834 T^{8} + 209230776 T^{9} - 1077468228 T^{10} - 141041159388 T^{11} + 1812110837889 T^{12} - 11142251591652 T^{13} - 6724479210948 T^{14} + 103158932568264 T^{15} + 6588360785355554 T^{16} - 63288674466571272 T^{17} + 501088569525668871 T^{18} - 4130453560379022356 T^{19} + 236668974345423516 T^{20} - 15101301093809908194 T^{21} + \)\(31\!\cdots\!32\)\( T^{22} - \)\(25\!\cdots\!86\)\( T^{23} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 + 16 T + 57 T^{2} - 2718 T^{3} - 46641 T^{4} - 296770 T^{5} + 2100356 T^{6} + 63939556 T^{7} + 568967658 T^{8} + 686272366 T^{9} - 42864080077 T^{10} - 505064762908 T^{11} - 2335690703610 T^{12} + 7243725552308 T^{13} + 175676300054786 T^{14} + 979879843085862 T^{15} + 4762058215039451 T^{16} + 77410507603783098 T^{17} + 1096395788641919426 T^{18} + 3571439202584384012 T^{19} - 90975342096556492410 T^{20} - \)\(15\!\cdots\!92\)\( T^{21} - \)\(10\!\cdots\!17\)\( T^{22} + \)\(13\!\cdots\!94\)\( T^{23} + \)\(86\!\cdots\!38\)\( T^{24} + \)\(76\!\cdots\!64\)\( T^{25} + \)\(19\!\cdots\!56\)\( T^{26} - \)\(22\!\cdots\!30\)\( T^{27} - \)\(27\!\cdots\!81\)\( T^{28} - \)\(12\!\cdots\!02\)\( T^{29} + \)\(21\!\cdots\!17\)\( T^{30} + \)\(46\!\cdots\!84\)\( T^{31} + \)\(23\!\cdots\!21\)\( T^{32} \))(\( 1 + 28 T + 329 T^{2} + 3910 T^{3} + 65675 T^{4} + 928354 T^{5} + 11065572 T^{6} + 125353716 T^{7} + 1431192710 T^{8} + 16276179390 T^{9} + 172940033819 T^{10} + 1779049827992 T^{11} + 18037827365326 T^{12} + 173336303119120 T^{13} + 1634285581819890 T^{14} + 15384298192332074 T^{15} + 139868089128990867 T^{16} + 1215359557194233846 T^{17} + 10199576316137933490 T^{18} + 85461557553547805680 T^{19} + \)\(70\!\cdots\!06\)\( T^{20} + \)\(54\!\cdots\!08\)\( T^{21} + \)\(42\!\cdots\!99\)\( T^{22} + \)\(31\!\cdots\!10\)\( T^{23} + \)\(21\!\cdots\!10\)\( T^{24} + \)\(15\!\cdots\!04\)\( T^{25} + \)\(10\!\cdots\!72\)\( T^{26} + \)\(69\!\cdots\!66\)\( T^{27} + \)\(38\!\cdots\!75\)\( T^{28} + \)\(18\!\cdots\!90\)\( T^{29} + \)\(12\!\cdots\!49\)\( T^{30} + \)\(81\!\cdots\!72\)\( T^{31} + \)\(23\!\cdots\!21\)\( T^{32} \))(\( 1 - 24 T + 274 T^{2} - 2604 T^{3} + 22691 T^{4} - 221592 T^{5} + 2723996 T^{6} - 30029472 T^{7} + 282708277 T^{8} - 2372328288 T^{9} + 17000459036 T^{10} - 109253498088 T^{11} + 883816287971 T^{12} - 8012654862996 T^{13} + 66605962812754 T^{14} - 460893815667816 T^{15} + 1517108809906561 T^{16} \))(\( ( 1 - 10 T + 21 T^{2} + 580 T^{3} - 7459 T^{4} + 45820 T^{5} + 131061 T^{6} - 4930390 T^{7} + 38950081 T^{8} )^{2}( 1 + 10 T + 21 T^{2} - 580 T^{3} - 7459 T^{4} - 45820 T^{5} + 131061 T^{6} + 4930390 T^{7} + 38950081 T^{8} )^{2} \))(\( ( 1 - 10 T + 21 T^{2} + 580 T^{3} - 7459 T^{4} + 45820 T^{5} + 131061 T^{6} - 4930390 T^{7} + 38950081 T^{8} )^{2}( 1 + 10 T + 21 T^{2} - 580 T^{3} - 7459 T^{4} - 45820 T^{5} + 131061 T^{6} + 4930390 T^{7} + 38950081 T^{8} )^{2} \))
$83$ (\( 1 + 12 T + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 + 4 T + 83 T^{2} \))(\( 1 - 6 T + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 - 4 T + 83 T^{2} \))(\( 1 - 4 T + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( ( 1 - 18 T + 83 T^{2} )( 1 + 18 T + 83 T^{2} ) \))(\( ( 1 - 18 T + 241 T^{2} - 1494 T^{3} + 6889 T^{4} )( 1 + 18 T + 241 T^{2} + 1494 T^{3} + 6889 T^{4} ) \))(\( ( 1 - 154 T^{2} + 6889 T^{4} )^{2} \))(\( ( 1 - 18 T + 241 T^{2} - 1494 T^{3} + 6889 T^{4} )( 1 + 18 T + 241 T^{2} + 1494 T^{3} + 6889 T^{4} ) \))(\( 1 - 512 T^{2} + 125148 T^{4} - 18790160 T^{6} + 1886502918 T^{8} - 129445412240 T^{10} + 5939313956508 T^{12} - 167393471164928 T^{14} + 2252292232139041 T^{16} \))(\( 1 - 512 T^{2} + 125148 T^{4} - 18790160 T^{6} + 1886502918 T^{8} - 129445412240 T^{10} + 5939313956508 T^{12} - 167393471164928 T^{14} + 2252292232139041 T^{16} \))(\( ( 1 - 23 T + 209 T^{2} - 1486 T^{3} + 17347 T^{4} - 158447 T^{5} + 571787 T^{6} )^{2}( 1 + 23 T + 209 T^{2} + 1486 T^{3} + 17347 T^{4} + 158447 T^{5} + 571787 T^{6} )^{2} \))(\( ( 1 - 23 T + 209 T^{2} - 1486 T^{3} + 17347 T^{4} - 158447 T^{5} + 571787 T^{6} )^{2}( 1 + 23 T + 209 T^{2} + 1486 T^{3} + 17347 T^{4} + 158447 T^{5} + 571787 T^{6} )^{2} \))(\( ( 1 - 196 T^{2} + 22990 T^{4} - 1350244 T^{6} + 47458321 T^{8} )^{4} \))(\( ( 1 + 83 T^{2} )^{2} \))(\( ( 1 + 16 T + 83 T^{2} )^{2} \))(\( ( 1 - 16 T + 83 T^{2} )^{2} \))(\( ( 1 + 83 T^{2} )^{2} \))(\( ( 1 + 16 T + 265 T^{2} + 2400 T^{3} + 21995 T^{4} + 110224 T^{5} + 571787 T^{6} )^{2} \))(\( ( 1 - 16 T + 265 T^{2} - 2400 T^{3} + 21995 T^{4} - 110224 T^{5} + 571787 T^{6} )^{2} \))(\( ( 1 + 16 T + 276 T^{2} + 2576 T^{3} + 30070 T^{4} + 213808 T^{5} + 1901364 T^{6} + 9148592 T^{7} + 47458321 T^{8} )^{2} \))(\( ( 1 - 16 T + 276 T^{2} - 2576 T^{3} + 30070 T^{4} - 213808 T^{5} + 1901364 T^{6} - 9148592 T^{7} + 47458321 T^{8} )^{2} \))(\( 1 - 130 T^{2} + 6889 T^{4} \))(\( 1 - 22 T^{2} + 6889 T^{4} \))(\( 1 - 22 T^{2} + 6889 T^{4} \))(\( 1 - 130 T^{2} + 6889 T^{4} \))(\( 1 - 150 T^{2} + 6889 T^{4} \))(\( ( 1 - 83 T^{2} )^{2} \))(\( 1 + 90 T^{2} + 6889 T^{4} \))(\( 1 - 274 T^{2} + 37415 T^{4} - 3513756 T^{6} + 257751935 T^{8} - 13003579954 T^{10} + 326940373369 T^{12} \))(\( 1 - 296 T^{2} + 53884 T^{4} - 6923736 T^{6} + 654380710 T^{8} - 47697617304 T^{10} + 2557244168764 T^{12} - 96774350517224 T^{14} + 2252292232139041 T^{16} \))(\( 1 - 296 T^{2} + 53884 T^{4} - 6923736 T^{6} + 654380710 T^{8} - 47697617304 T^{10} + 2557244168764 T^{12} - 96774350517224 T^{14} + 2252292232139041 T^{16} \))(\( ( 1 - 306 T^{2} + 50855 T^{4} - 5168732 T^{6} + 350340095 T^{8} - 14522246226 T^{10} + 326940373369 T^{12} )^{2} \))(\( ( 1 + 158 T^{2} + 6889 T^{4} )^{2} \))(\( ( 1 - 158 T^{2} + 18075 T^{4} - 1088462 T^{6} + 47458321 T^{8} )^{2} \))(\( ( 1 + 512 T^{2} + 125148 T^{4} + 18790160 T^{6} + 1886502918 T^{8} + 129445412240 T^{10} + 5939313956508 T^{12} + 167393471164928 T^{14} + 2252292232139041 T^{16} )^{2} \))(\( ( 1 + 512 T^{2} + 125148 T^{4} + 18790160 T^{6} + 1886502918 T^{8} + 129445412240 T^{10} + 5939313956508 T^{12} + 167393471164928 T^{14} + 2252292232139041 T^{16} )^{2} \))(\( 1 - 12878 T^{4} + 47458321 T^{8} \))(\( 1 + 4 T + 8 T^{2} + 196 T^{3} + 3646 T^{4} + 16268 T^{5} + 55112 T^{6} + 2287148 T^{7} + 47458321 T^{8} \))(\( 1 - 4 T + 8 T^{2} - 196 T^{3} + 3646 T^{4} - 16268 T^{5} + 55112 T^{6} - 2287148 T^{7} + 47458321 T^{8} \))(\( 1 + 8722 T^{4} + 47458321 T^{8} \))(\( 1 - 12878 T^{4} + 47458321 T^{8} \))(\( ( 1 - 8167 T^{4} + 41873760 T^{8} - 387592107607 T^{12} + 2252292232139041 T^{16} )^{2} \))(\( ( 1 + 8722 T^{4} + 47458321 T^{8} )^{4} \))(\( ( 1 + 6889 T^{4} )^{2} \))(\( ( 1 - 8 T + 32 T^{2} - 664 T^{3} + 6889 T^{4} )^{2} \))(\( 1 + 11822 T^{4} + 47458321 T^{8} \))(\( 1 + 11822 T^{4} + 47458321 T^{8} \))(\( 1 + 11822 T^{4} + 47458321 T^{8} \))(\( 1 + 11822 T^{4} + 47458321 T^{8} \))(\( ( 1 + 6889 T^{4} )^{2} \))(\( ( 1 + 8 T + 32 T^{2} + 664 T^{3} + 6889 T^{4} )^{2} \))(\( ( 1 + 9938 T^{4} + 47458321 T^{8} )^{2} \))(\( 1 - 6 T - 67 T^{2} + 150 T^{3} + 6241 T^{4} + 12450 T^{5} - 461563 T^{6} - 3430722 T^{7} + 47458321 T^{8} \))(\( 1 - 22 T + 101 T^{2} + 1194 T^{3} - 18991 T^{4} + 99102 T^{5} + 695789 T^{6} - 12579314 T^{7} + 47458321 T^{8} \))(\( 1 - 10 T - 22 T^{2} + 726 T^{3} - 622 T^{4} - 45524 T^{5} + 352645 T^{6} + 2589510 T^{7} - 1839568 T^{8} - 533049378 T^{9} + 5788820162 T^{10} + 22988971686 T^{11} - 661729299919 T^{12} + 1908084649938 T^{13} + 39879182096018 T^{14} - 304790704698486 T^{15} - 87302808645328 T^{16} + 10200185135454930 T^{17} + 115293887966711005 T^{18} - 1235341585251779548 T^{19} - 1400925768390483502 T^{20} + \)\(13\!\cdots\!78\)\( T^{21} - \)\(34\!\cdots\!78\)\( T^{22} - \)\(12\!\cdots\!70\)\( T^{23} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 - 16 T + 212 T^{2} - 1992 T^{3} + 25876 T^{4} - 199592 T^{5} + 1668709 T^{6} - 7902892 T^{7} + 83378456 T^{8} + 3403240 T^{9} + 639731396 T^{10} + 27052259352 T^{11} + 131402563577 T^{12} + 2245337526216 T^{13} + 4407109587044 T^{14} + 1945928389880 T^{15} + 3957001529332376 T^{16} - 31129812785239556 T^{17} + 545568343504210621 T^{18} - 5416138689121632184 T^{19} + 58280313798829824916 T^{20} - \)\(37\!\cdots\!76\)\( T^{21} + \)\(32\!\cdots\!88\)\( T^{22} - \)\(20\!\cdots\!72\)\( T^{23} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 + 57 T + 1525 T^{2} + 27111 T^{3} + 400250 T^{4} + 5642501 T^{5} + 76172434 T^{6} + 938438826 T^{7} + 10516755894 T^{8} + 111184838757 T^{9} + 1142923577262 T^{10} + 11390164483743 T^{11} + 108046413159148 T^{12} + 979700209721014 T^{13} + 8822969773713628 T^{14} + 81154882703563725 T^{15} + 747031930296103052 T^{16} + 6735855264395789175 T^{17} + 60781438771113183292 T^{18} + \)\(56\!\cdots\!18\)\( T^{19} + \)\(51\!\cdots\!08\)\( T^{20} + \)\(44\!\cdots\!49\)\( T^{21} + \)\(37\!\cdots\!78\)\( T^{22} + \)\(30\!\cdots\!39\)\( T^{23} + \)\(23\!\cdots\!54\)\( T^{24} + \)\(17\!\cdots\!78\)\( T^{25} + \)\(11\!\cdots\!66\)\( T^{26} + \)\(72\!\cdots\!67\)\( T^{27} + \)\(42\!\cdots\!50\)\( T^{28} + \)\(24\!\cdots\!93\)\( T^{29} + \)\(11\!\cdots\!25\)\( T^{30} + \)\(34\!\cdots\!99\)\( T^{31} + \)\(50\!\cdots\!81\)\( T^{32} \))(\( 1 + 49 T + 833 T^{2} + 3035 T^{3} - 81130 T^{4} - 1143523 T^{5} - 4260972 T^{6} + 38505966 T^{7} + 581497010 T^{8} + 1547974855 T^{9} - 27651298778 T^{10} - 244126841857 T^{11} - 844033316074 T^{12} - 8310961314890 T^{13} - 12823157975650 T^{14} + 1847539866213151 T^{15} + 27199509908020184 T^{16} + 153345808895691533 T^{17} - 88338735294252850 T^{18} - 4752099637357008430 T^{19} - 40056404048934351754 T^{20} - \)\(96\!\cdots\!51\)\( T^{21} - \)\(90\!\cdots\!82\)\( T^{22} + \)\(42\!\cdots\!85\)\( T^{23} + \)\(13\!\cdots\!10\)\( T^{24} + \)\(71\!\cdots\!98\)\( T^{25} - \)\(66\!\cdots\!28\)\( T^{26} - \)\(14\!\cdots\!41\)\( T^{27} - \)\(86\!\cdots\!30\)\( T^{28} + \)\(26\!\cdots\!05\)\( T^{29} + \)\(61\!\cdots\!57\)\( T^{30} + \)\(29\!\cdots\!43\)\( T^{31} + \)\(50\!\cdots\!81\)\( T^{32} \))(\( 1 - 10 T + 200 T^{2} - 130 T^{3} + 3071 T^{4} + 176290 T^{5} - 273120 T^{6} + 11665760 T^{7} + 38193061 T^{8} + 968258080 T^{9} - 1881523680 T^{10} + 100800330230 T^{11} + 145744503791 T^{12} - 512075283590 T^{13} + 65388074673800 T^{14} - 271360509896270 T^{15} + 2252292232139041 T^{16} \))(\( ( 1 + 8 T + 32 T^{2} + 664 T^{3} + 6889 T^{4} )^{4}( 1 - 8 T + 32 T^{2} - 664 T^{3} + 2711 T^{4} - 144088 T^{5} + 1286400 T^{6} - 2906192 T^{7} + 59083089 T^{8} - 241213936 T^{9} + 8862009600 T^{10} - 82387645256 T^{11} + 128659508231 T^{12} - 2615522986952 T^{13} + 10462091947808 T^{14} - 217088407917016 T^{15} + 2252292232139041 T^{16} ) \))(\( ( 1 - 8 T + 32 T^{2} - 664 T^{3} + 6889 T^{4} )^{4}( 1 + 8 T + 32 T^{2} + 664 T^{3} + 2711 T^{4} + 144088 T^{5} + 1286400 T^{6} + 2906192 T^{7} + 59083089 T^{8} + 241213936 T^{9} + 8862009600 T^{10} + 82387645256 T^{11} + 128659508231 T^{12} + 2615522986952 T^{13} + 10462091947808 T^{14} + 217088407917016 T^{15} + 2252292232139041 T^{16} ) \))
$89$ (\( 1 - 2 T + 89 T^{2} \))(\( 1 - 16 T + 89 T^{2} \))(\( 1 - 10 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 + 16 T + 89 T^{2} \))(\( 1 + 16 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 - 16 T + 89 T^{2} \))(\( ( 1 - 18 T + 89 T^{2} )( 1 + 18 T + 89 T^{2} ) \))(\( ( 1 - 18 T + 235 T^{2} - 1602 T^{3} + 7921 T^{4} )( 1 + 18 T + 235 T^{2} + 1602 T^{3} + 7921 T^{4} ) \))(\( ( 1 - 89 T^{2} )^{4} \))(\( ( 1 - 18 T + 235 T^{2} - 1602 T^{3} + 7921 T^{4} )( 1 + 18 T + 235 T^{2} + 1602 T^{3} + 7921 T^{4} ) \))(\( 1 - 328 T^{2} + 61788 T^{4} - 8336760 T^{6} + 843121542 T^{8} - 66035475960 T^{10} + 3876717586908 T^{12} - 163009863435208 T^{14} + 3936588805702081 T^{16} \))(\( 1 - 328 T^{2} + 61788 T^{4} - 8336760 T^{6} + 843121542 T^{8} - 66035475960 T^{10} + 3876717586908 T^{12} - 163009863435208 T^{14} + 3936588805702081 T^{16} \))(\( ( 1 - 347 T^{2} + 57331 T^{4} - 6080690 T^{6} + 454118851 T^{8} - 21771557627 T^{10} + 496981290961 T^{12} )^{2} \))(\( ( 1 - 347 T^{2} + 57331 T^{4} - 6080690 T^{6} + 454118851 T^{8} - 21771557627 T^{10} + 496981290961 T^{12} )^{2} \))(\( ( 1 - 260 T^{2} + 32230 T^{4} - 2059460 T^{6} + 62742241 T^{8} )^{4} \))(\( ( 1 + 14 T + 89 T^{2} )^{2} \))(\( ( 1 - 10 T + 89 T^{2} )^{2} \))(\( ( 1 - 10 T + 89 T^{2} )^{2} \))(\( ( 1 + 14 T + 89 T^{2} )^{2} \))(\( ( 1 - 14 T + 263 T^{2} - 2308 T^{3} + 23407 T^{4} - 110894 T^{5} + 704969 T^{6} )^{2} \))(\( ( 1 - 14 T + 263 T^{2} - 2308 T^{3} + 23407 T^{4} - 110894 T^{5} + 704969 T^{6} )^{2} \))(\( ( 1 + 132 T^{2} - 64 T^{3} + 18534 T^{4} - 5696 T^{5} + 1045572 T^{6} + 62742241 T^{8} )^{2} \))(\( ( 1 + 132 T^{2} - 64 T^{3} + 18534 T^{4} - 5696 T^{5} + 1045572 T^{6} + 62742241 T^{8} )^{2} \))(\( ( 1 - 16 T + 89 T^{2} )^{2} \))(\( ( 1 + 10 T + 89 T^{2} )^{2} \))(\( ( 1 + 2 T + 89 T^{2} )^{2} \))(\( ( 1 + 16 T + 89 T^{2} )^{2} \))(\( ( 1 - 6 T + 89 T^{2} )^{2} \))(\( ( 1 - 14 T + 89 T^{2} )^{2} \))(\( ( 1 + 10 T + 89 T^{2} )^{2} \))(\( ( 1 + 14 T + 263 T^{2} + 2308 T^{3} + 23407 T^{4} + 110894 T^{5} + 704969 T^{6} )^{2} \))(\( ( 1 + 132 T^{2} + 64 T^{3} + 18534 T^{4} + 5696 T^{5} + 1045572 T^{6} + 62742241 T^{8} )^{2} \))(\( ( 1 + 132 T^{2} + 64 T^{3} + 18534 T^{4} + 5696 T^{5} + 1045572 T^{6} + 62742241 T^{8} )^{2} \))(\( ( 1 - 10 T + 103 T^{2} - 396 T^{3} + 9167 T^{4} - 79210 T^{5} + 704969 T^{6} )^{4} \))(\( ( 1 - 18 T + 89 T^{2} )^{2}( 1 + 18 T + 89 T^{2} )^{2} \))(\( ( 1 - 18 T + 235 T^{2} - 1602 T^{3} + 7921 T^{4} )^{2}( 1 + 18 T + 235 T^{2} + 1602 T^{3} + 7921 T^{4} )^{2} \))(\( ( 1 - 328 T^{2} + 61788 T^{4} - 8336760 T^{6} + 843121542 T^{8} - 66035475960 T^{10} + 3876717586908 T^{12} - 163009863435208 T^{14} + 3936588805702081 T^{16} )^{2} \))(\( ( 1 - 328 T^{2} + 61788 T^{4} - 8336760 T^{6} + 843121542 T^{8} - 66035475960 T^{10} + 3876717586908 T^{12} - 163009863435208 T^{14} + 3936588805702081 T^{16} )^{2} \))(\( ( 1 + 50 T^{2} + 7921 T^{4} )^{2} \))(\( ( 1 + 20 T + 246 T^{2} + 1780 T^{3} + 7921 T^{4} )^{2} \))(\( ( 1 - 20 T + 246 T^{2} - 1780 T^{3} + 7921 T^{4} )^{2} \))(\( ( 1 + 170 T^{2} + 7921 T^{4} )^{2} \))(\( ( 1 + 50 T^{2} + 7921 T^{4} )^{2} \))(\( ( 1 + 97 T^{2} + 1488 T^{4} + 768337 T^{6} + 62742241 T^{8} )^{4} \))(\( ( 1 - 110 T^{2} + 7921 T^{4} )^{8} \))(\( ( 1 + 89 T^{2} )^{4} \))(\( ( 1 + 89 T^{2} )^{4} \))(\( ( 1 + 12 T + 89 T^{2} )^{4} \))(\( ( 1 - 12 T + 89 T^{2} )^{4} \))(\( ( 1 - 12 T + 89 T^{2} )^{4} \))(\( ( 1 + 12 T + 89 T^{2} )^{4} \))(\( ( 1 + 89 T^{2} )^{4} \))(\( ( 1 + 89 T^{2} )^{4} \))(\( ( 1 + 89 T^{2} )^{8} \))(\( 1 - 9 T + 47 T^{2} + 213 T^{3} - 5000 T^{4} + 18957 T^{5} + 372287 T^{6} - 6344721 T^{7} + 62742241 T^{8} \))(\( 1 + 7 T + 155 T^{2} + 1797 T^{3} + 11744 T^{4} + 159933 T^{5} + 1227755 T^{6} + 4934783 T^{7} + 62742241 T^{8} \))(\( 1 - 9 T + 44 T^{2} + 1060 T^{3} - 6653 T^{4} + 85126 T^{5} + 286732 T^{6} - 1320689 T^{7} + 80099478 T^{8} - 135279029 T^{9} + 2689316597 T^{10} + 66765917269 T^{11} - 516519953358 T^{12} + 5942166636941 T^{13} + 21302076764837 T^{14} - 95367521795101 T^{15} + 5025620752650198 T^{16} - 7374805889640361 T^{17} + 142500439519829452 T^{18} + 3765236614316801654 T^{19} - 26190125324335944893 T^{20} + \)\(37\!\cdots\!40\)\( T^{21} + \)\(13\!\cdots\!44\)\( T^{22} - \)\(24\!\cdots\!01\)\( T^{23} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 - 13 T - 4 T^{2} - 388 T^{3} + 28091 T^{4} - 278202 T^{5} - 118642 T^{6} - 8825347 T^{7} + 415349238 T^{8} - 2613538927 T^{9} - 3117779651 T^{10} - 156841064855 T^{11} + 3865048325734 T^{12} - 13958854772095 T^{13} - 24695932615571 T^{14} - 1842463923828263 T^{15} + 26059941989762358 T^{16} - 49281262306053803 T^{17} - 58962854322194962 T^{18} - 12305245830605958858 T^{19} + \)\(11\!\cdots\!71\)\( T^{20} - \)\(13\!\cdots\!92\)\( T^{21} - \)\(12\!\cdots\!04\)\( T^{22} - \)\(36\!\cdots\!57\)\( T^{23} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 + 27 T + 71 T^{2} - 4889 T^{3} - 37652 T^{4} + 613189 T^{5} + 7837390 T^{6} - 43624436 T^{7} - 927184328 T^{8} + 2260105991 T^{9} + 82118275302 T^{10} - 200550053927 T^{11} - 7690789275838 T^{12} + 16587037239458 T^{13} + 745086893937044 T^{14} - 932486039879425 T^{15} - 74480636610196564 T^{16} - 82991257549268825 T^{17} + 5901833286875325524 T^{18} + 11693347055663466802 T^{19} - \)\(48\!\cdots\!58\)\( T^{20} - \)\(11\!\cdots\!23\)\( T^{21} + \)\(40\!\cdots\!22\)\( T^{22} + \)\(99\!\cdots\!39\)\( T^{23} - \)\(36\!\cdots\!68\)\( T^{24} - \)\(15\!\cdots\!24\)\( T^{25} + \)\(24\!\cdots\!90\)\( T^{26} + \)\(17\!\cdots\!21\)\( T^{27} - \)\(92\!\cdots\!92\)\( T^{28} - \)\(10\!\cdots\!41\)\( T^{29} + \)\(13\!\cdots\!11\)\( T^{30} + \)\(47\!\cdots\!23\)\( T^{31} + \)\(15\!\cdots\!61\)\( T^{32} \))(\( 1 - 9 T - 381 T^{2} + 4235 T^{3} + 52500 T^{4} - 863167 T^{5} - 1245692 T^{6} + 91496022 T^{7} - 503539030 T^{8} - 3607498385 T^{9} + 60937592240 T^{10} - 353138728955 T^{11} - 784474304440 T^{12} + 60651970264790 T^{13} - 513329045334670 T^{14} - 2686718341748475 T^{15} + 68661627140206560 T^{16} - 239117932415614275 T^{17} - 4066079368095921070 T^{18} + 42757758825598741510 T^{19} - 49219675867481850040 T^{20} - \)\(19\!\cdots\!95\)\( T^{21} + \)\(30\!\cdots\!40\)\( T^{22} - \)\(15\!\cdots\!65\)\( T^{23} - \)\(19\!\cdots\!30\)\( T^{24} + \)\(32\!\cdots\!98\)\( T^{25} - \)\(38\!\cdots\!92\)\( T^{26} - \)\(23\!\cdots\!63\)\( T^{27} + \)\(12\!\cdots\!00\)\( T^{28} + \)\(93\!\cdots\!15\)\( T^{29} - \)\(74\!\cdots\!21\)\( T^{30} - \)\(15\!\cdots\!41\)\( T^{31} + \)\(15\!\cdots\!61\)\( T^{32} \))(\( 1 + 38 T + 665 T^{2} + 8730 T^{3} + 115195 T^{4} + 1443174 T^{5} + 15665207 T^{6} + 154942010 T^{7} + 1480653880 T^{8} + 13789838890 T^{9} + 124084104647 T^{10} + 1017392931606 T^{11} + 7227592451995 T^{12} + 48748838989770 T^{13} + 330492558489065 T^{14} + 1680790726030102 T^{15} + 3936588805702081 T^{16} \))(\( ( 1 - 89 T^{2} + 7921 T^{4} - 704969 T^{6} + 62742241 T^{8} )^{4} \))(\( ( 1 - 89 T^{2} + 7921 T^{4} - 704969 T^{6} + 62742241 T^{8} )^{4} \))
$97$ (\( 1 + 2 T + 97 T^{2} \))(\( 1 - 7 T + 97 T^{2} \))(\( 1 + 2 T + 97 T^{2} \))(\( 1 + 8 T + 97 T^{2} \))(\( 1 - 7 T + 97 T^{2} \))(\( 1 + 7 T + 97 T^{2} \))(\( 1 - 8 T + 97 T^{2} \))(\( 1 + 2 T + 97 T^{2} \))(\( 1 + 7 T + 97 T^{2} \))(\( ( 1 - 10 T + 97 T^{2} )^{2} \))(\( ( 1 - 10 T + 97 T^{2} )^{4} \))(\( ( 1 + 97 T^{2} )^{4} \))(\( ( 1 + 10 T + 97 T^{2} )^{4} \))(\( ( 1 + 4 T + 212 T^{2} + 1948 T^{3} + 21526 T^{4} + 188956 T^{5} + 1994708 T^{6} + 3650692 T^{7} + 88529281 T^{8} )^{2} \))(\( ( 1 + 4 T + 212 T^{2} + 1948 T^{3} + 21526 T^{4} + 188956 T^{5} + 1994708 T^{6} + 3650692 T^{7} + 88529281 T^{8} )^{2} \))(\( ( 1 - 8 T + 192 T^{2} - 1310 T^{3} + 18624 T^{4} - 75272 T^{5} + 912673 T^{6} )^{4} \))(\( ( 1 + 8 T + 192 T^{2} + 1310 T^{3} + 18624 T^{4} + 75272 T^{5} + 912673 T^{6} )^{4} \))(\( ( 1 + 260 T^{2} + 32518 T^{4} + 2446340 T^{6} + 88529281 T^{8} )^{4} \))(\( 1 - 94 T^{2} + 9409 T^{4} \))(\( 1 - 190 T^{2} + 9409 T^{4} \))(\( 1 - 190 T^{2} + 9409 T^{4} \))(\( 1 - 94 T^{2} + 9409 T^{4} \))(\( 1 - 250 T^{2} + 24143 T^{4} - 1697004 T^{6} + 227161487 T^{8} - 22132320250 T^{10} + 832972004929 T^{12} \))(\( 1 - 250 T^{2} + 24143 T^{4} - 1697004 T^{6} + 227161487 T^{8} - 22132320250 T^{10} + 832972004929 T^{12} \))(\( 1 - 356 T^{2} + 80362 T^{4} - 11927760 T^{6} + 1353370099 T^{8} - 112228293840 T^{10} + 7114390079722 T^{12} - 296538033754724 T^{14} + 7837433594376961 T^{16} \))(\( 1 - 356 T^{2} + 80362 T^{4} - 11927760 T^{6} + 1353370099 T^{8} - 112228293840 T^{10} + 7114390079722 T^{12} - 296538033754724 T^{14} + 7837433594376961 T^{16} \))(\( 1 - 145 T^{2} + 9409 T^{4} \))(\( 1 - 190 T^{2} + 9409 T^{4} \))(\( 1 - 190 T^{2} + 9409 T^{4} \))(\( 1 - 145 T^{2} + 9409 T^{4} \))(\( 1 - 190 T^{2} + 9409 T^{4} \))(\( ( 1 - 10 T + 97 T^{2} )^{2} \))(\( ( 1 - 2 T + 97 T^{2} )^{2} \))(\( ( 1 + 18 T + 287 T^{2} + 3164 T^{3} + 27839 T^{4} + 169362 T^{5} + 912673 T^{6} )^{2} \))(\( ( 1 + 4 T + 186 T^{2} + 816 T^{3} + 26147 T^{4} + 79152 T^{5} + 1750074 T^{6} + 3650692 T^{7} + 88529281 T^{8} )^{2} \))(\( ( 1 - 4 T + 186 T^{2} - 816 T^{3} + 26147 T^{4} - 79152 T^{5} + 1750074 T^{6} - 3650692 T^{7} + 88529281 T^{8} )^{2} \))(\( ( 1 + 246 T^{2} + 39183 T^{4} + 4535476 T^{6} + 368672847 T^{8} + 21778203126 T^{10} + 832972004929 T^{12} )^{2} \))(\( ( 1 - 94 T^{2} + 9409 T^{4} )^{2} \))(\( ( 1 - 94 T^{2} + 9409 T^{4} )^{4} \))(\( ( 1 - 408 T^{2} + 72412 T^{4} - 7810088 T^{6} + 720805318 T^{8} - 73485117992 T^{10} + 6410582295772 T^{12} - 339852578011032 T^{14} + 7837433594376961 T^{16} )^{2} \))(\( ( 1 - 408 T^{2} + 72412 T^{4} - 7810088 T^{6} + 720805318 T^{8} - 73485117992 T^{10} + 6410582295772 T^{12} - 339852578011032 T^{14} + 7837433594376961 T^{16} )^{2} \))(\( ( 1 + 16 T + 128 T^{2} + 1552 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 + 2 T + 2 T^{2} + 194 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 + 2 T + 2 T^{2} + 194 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 - 18 T + 97 T^{2} )^{2}( 1 - 8 T + 97 T^{2} )^{2} \))(\( ( 1 - 16 T + 128 T^{2} - 1552 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 - 6223 T^{4} + 173952288 T^{8} - 550917715663 T^{12} + 7837433594376961 T^{16} )^{2} \))(\( ( 1 - 1852 T^{4} - 139344762 T^{8} - 163956228412 T^{12} + 7837433594376961 T^{16} )^{2} \))(\( ( 1 + 9409 T^{4} )^{2} \))(\( ( 1 - 2 T + 97 T^{2} )^{2}( 1 - 190 T^{2} + 9409 T^{4} ) \))(\( ( 1 + 12 T + 72 T^{2} + 1164 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 - 12 T + 72 T^{2} - 1164 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 + 12 T + 72 T^{2} + 1164 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 - 12 T + 72 T^{2} - 1164 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 + 9409 T^{4} )^{2} \))(\( ( 1 - 2 T + 97 T^{2} )^{2}( 1 - 190 T^{2} + 9409 T^{4} ) \))(\( ( 1 + 9409 T^{4} )^{4} \))(\( 1 - 2 T - 73 T^{2} + 740 T^{3} + 6181 T^{4} + 71780 T^{5} - 686857 T^{6} - 1825346 T^{7} + 88529281 T^{8} \))(\( 1 - 2 T - 73 T^{2} + 740 T^{3} + 6181 T^{4} + 71780 T^{5} - 686857 T^{6} - 1825346 T^{7} + 88529281 T^{8} \))(\( 1 + 12 T + 152 T^{2} + 290 T^{3} + 7212 T^{4} + 93872 T^{5} + 1235115 T^{6} + 552536 T^{7} - 93966312 T^{8} - 406858628 T^{9} - 10124964180 T^{10} - 106324297324 T^{11} - 2467178500187 T^{12} - 10313456840428 T^{13} - 95265787969620 T^{14} - 371328884592644 T^{15} - 8318770039581672 T^{16} + 4744814636241752 T^{17} + 1028816217867881835 T^{18} + 7584696560529423536 T^{19} + 56523571082646642732 T^{20} + \)\(22\!\cdots\!30\)\( T^{21} + \)\(11\!\cdots\!48\)\( T^{22} + \)\(85\!\cdots\!36\)\( T^{23} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 - 28 T + 632 T^{2} - 10670 T^{3} + 176452 T^{4} - 2524528 T^{5} + 34012355 T^{6} - 426503584 T^{7} + 5104453528 T^{8} - 58134739308 T^{9} + 625627195940 T^{10} - 6606527459284 T^{11} + 65959986108253 T^{12} - 640833163550548 T^{13} + 5886526286599460 T^{14} - 53058006928450284 T^{15} + 451893600731753368 T^{16} - 3662531396637981088 T^{17} + 28331339536706897795 T^{18} - \)\(20\!\cdots\!64\)\( T^{19} + \)\(13\!\cdots\!72\)\( T^{20} - \)\(81\!\cdots\!90\)\( T^{21} + \)\(46\!\cdots\!68\)\( T^{22} - \)\(20\!\cdots\!84\)\( T^{23} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 + 5 T - 205 T^{2} - 895 T^{3} + 26082 T^{4} + 397925 T^{5} - 1433520 T^{6} - 69796900 T^{7} + 76171768 T^{8} + 8683288115 T^{9} + 37443595670 T^{10} - 706588525365 T^{11} - 7975920348766 T^{12} + 67036028731300 T^{13} + 1090792317349550 T^{14} - 2311417782783725 T^{15} - 98163374138005120 T^{16} - 224207524930021325 T^{17} + 10263264913941915950 T^{18} + 61181973450281764900 T^{19} - \)\(70\!\cdots\!46\)\( T^{20} - \)\(60\!\cdots\!05\)\( T^{21} + \)\(31\!\cdots\!30\)\( T^{22} + \)\(70\!\cdots\!95\)\( T^{23} + \)\(59\!\cdots\!48\)\( T^{24} - \)\(53\!\cdots\!00\)\( T^{25} - \)\(10\!\cdots\!80\)\( T^{26} + \)\(28\!\cdots\!25\)\( T^{27} + \)\(18\!\cdots\!62\)\( T^{28} - \)\(60\!\cdots\!15\)\( T^{29} - \)\(13\!\cdots\!45\)\( T^{30} + \)\(31\!\cdots\!65\)\( T^{31} + \)\(61\!\cdots\!21\)\( T^{32} \))(\( 1 + 53 T + 1107 T^{2} + 7425 T^{3} - 122190 T^{4} - 2971291 T^{5} - 16937568 T^{6} + 206023308 T^{7} + 4202338840 T^{8} + 25440243235 T^{9} - 53387045642 T^{10} - 2165105490901 T^{11} - 24172981532814 T^{12} - 205972118512460 T^{13} - 420541489511170 T^{14} + 23377889401177363 T^{15} + 375798927396047424 T^{16} + 2267655271914204211 T^{17} - 3956874874810598530 T^{18} - \)\(18\!\cdots\!80\)\( T^{19} - \)\(21\!\cdots\!34\)\( T^{20} - \)\(18\!\cdots\!57\)\( T^{21} - \)\(44\!\cdots\!18\)\( T^{22} + \)\(20\!\cdots\!55\)\( T^{23} + \)\(32\!\cdots\!40\)\( T^{24} + \)\(15\!\cdots\!36\)\( T^{25} - \)\(12\!\cdots\!32\)\( T^{26} - \)\(21\!\cdots\!23\)\( T^{27} - \)\(84\!\cdots\!90\)\( T^{28} + \)\(49\!\cdots\!25\)\( T^{29} + \)\(72\!\cdots\!83\)\( T^{30} + \)\(33\!\cdots\!29\)\( T^{31} + \)\(61\!\cdots\!21\)\( T^{32} \))(\( 1 + 20 T + 310 T^{2} + 1100 T^{3} - 3369 T^{4} - 248380 T^{5} + 506620 T^{6} + 23008680 T^{7} + 525961501 T^{8} + 2231841960 T^{9} + 4766787580 T^{10} - 226689719740 T^{11} - 298255147689 T^{12} + 9446074282700 T^{13} + 258221321527990 T^{14} + 1615965689562260 T^{15} + 7837433594376961 T^{16} \))(\( ( 1 + 2 T + 97 T^{2} )^{8}( 1 + 190 T^{2} + 26691 T^{4} + 3283580 T^{6} + 372744581 T^{8} + 30895204220 T^{10} + 2362935039171 T^{12} + 158264680936510 T^{14} + 7837433594376961 T^{16} ) \))(\( ( 1 + 2 T + 97 T^{2} )^{8}( 1 + 190 T^{2} + 26691 T^{4} + 3283580 T^{6} + 372744581 T^{8} + 30895204220 T^{10} + 2362935039171 T^{12} + 158264680936510 T^{14} + 7837433594376961 T^{16} ) \))
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