Properties

Label 672.2
Level 672
Weight 2
Dimension 4868
Nonzero newspaces 24
Newform subspaces 69
Sturm bound 49152
Trace bound 14

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Defining parameters

Level: \( N \) = \( 672 = 2^{5} \cdot 3 \cdot 7 \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 24 \)
Newform subspaces: \( 69 \)
Sturm bound: \(49152\)
Trace bound: \(14\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(672))\).

Total New Old
Modular forms 13056 5068 7988
Cusp forms 11521 4868 6653
Eisenstein series 1535 200 1335

Trace form

\( 4868q - 14q^{3} - 32q^{4} - 8q^{5} - 16q^{6} - 32q^{7} - 32q^{9} + O(q^{10}) \) \( 4868q - 14q^{3} - 32q^{4} - 8q^{5} - 16q^{6} - 32q^{7} - 32q^{9} + 16q^{12} - 8q^{13} + 32q^{14} - 12q^{15} + 48q^{16} + 32q^{17} - 12q^{19} + 64q^{20} - 4q^{21} - 32q^{22} + 48q^{23} - 40q^{24} - 12q^{25} - 80q^{26} + 64q^{27} - 80q^{28} - 8q^{29} - 112q^{30} + 68q^{31} - 80q^{32} - 44q^{33} - 80q^{34} + 48q^{35} - 144q^{36} - 72q^{37} - 80q^{38} + 40q^{39} - 112q^{40} - 16q^{41} - 80q^{42} - 40q^{43} - 16q^{44} - 40q^{45} - 32q^{46} + 24q^{47} - 120q^{48} + 20q^{49} - 48q^{50} + 10q^{51} - 128q^{52} + 120q^{53} - 120q^{54} - 64q^{55} - 56q^{56} - 8q^{57} - 176q^{58} - 32q^{59} - 136q^{60} + 184q^{61} - 96q^{62} + 30q^{63} - 224q^{64} + 80q^{65} - 64q^{66} - 52q^{67} + 16q^{68} + 160q^{69} - 64q^{70} - 56q^{71} + 104q^{72} + 32q^{73} + 64q^{74} - 64q^{75} - 32q^{76} + 64q^{77} + 88q^{78} - 28q^{79} + 112q^{80} + 64q^{81} + 128q^{82} + 112q^{84} + 48q^{85} + 128q^{86} - 128q^{87} + 144q^{88} + 248q^{90} - 112q^{91} + 112q^{92} - 88q^{93} - 144q^{94} - 104q^{95} + 24q^{96} - 256q^{97} - 256q^{98} - 212q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(672))\)

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
672.2.a \(\chi_{672}(1, \cdot)\) 672.2.a.a 1 1
672.2.a.b 1
672.2.a.c 1
672.2.a.d 1
672.2.a.e 1
672.2.a.f 1
672.2.a.g 1
672.2.a.h 1
672.2.a.i 2
672.2.a.j 2
672.2.b \(\chi_{672}(223, \cdot)\) 672.2.b.a 8 1
672.2.b.b 8
672.2.c \(\chi_{672}(337, \cdot)\) 672.2.c.a 4 1
672.2.c.b 8
672.2.h \(\chi_{672}(575, \cdot)\) 672.2.h.a 4 1
672.2.h.b 4
672.2.h.c 4
672.2.h.d 4
672.2.h.e 8
672.2.i \(\chi_{672}(209, \cdot)\) 672.2.i.a 4 1
672.2.i.b 4
672.2.i.c 4
672.2.i.d 8
672.2.i.e 8
672.2.j \(\chi_{672}(239, \cdot)\) 672.2.j.a 4 1
672.2.j.b 4
672.2.j.c 4
672.2.j.d 12
672.2.k \(\chi_{672}(545, \cdot)\) 672.2.k.a 8 1
672.2.k.b 8
672.2.k.c 8
672.2.k.d 8
672.2.p \(\chi_{672}(559, \cdot)\) 672.2.p.a 16 1
672.2.q \(\chi_{672}(193, \cdot)\) 672.2.q.a 2 2
672.2.q.b 2
672.2.q.c 2
672.2.q.d 2
672.2.q.e 2
672.2.q.f 2
672.2.q.g 2
672.2.q.h 2
672.2.q.i 2
672.2.q.j 2
672.2.q.k 6
672.2.q.l 6
672.2.s \(\chi_{672}(71, \cdot)\) None 0 2
672.2.u \(\chi_{672}(55, \cdot)\) None 0 2
672.2.w \(\chi_{672}(169, \cdot)\) None 0 2
672.2.y \(\chi_{672}(41, \cdot)\) None 0 2
672.2.bb \(\chi_{672}(271, \cdot)\) 672.2.bb.a 32 2
672.2.bc \(\chi_{672}(257, \cdot)\) 672.2.bc.a 4 2
672.2.bc.b 4
672.2.bc.c 8
672.2.bc.d 16
672.2.bc.e 32
672.2.bd \(\chi_{672}(431, \cdot)\) 672.2.bd.a 56 2
672.2.bi \(\chi_{672}(17, \cdot)\) 672.2.bi.a 4 2
672.2.bi.b 4
672.2.bi.c 48
672.2.bj \(\chi_{672}(95, \cdot)\) 672.2.bj.a 64 2
672.2.bk \(\chi_{672}(529, \cdot)\) 672.2.bk.a 32 2
672.2.bl \(\chi_{672}(31, \cdot)\) 672.2.bl.a 16 2
672.2.bl.b 16
672.2.bo \(\chi_{672}(125, \cdot)\) 672.2.bo.a 496 4
672.2.bq \(\chi_{672}(85, \cdot)\) 672.2.bq.a 88 4
672.2.bq.b 104
672.2.bs \(\chi_{672}(155, \cdot)\) 672.2.bs.a 192 4
672.2.bs.b 192
672.2.bu \(\chi_{672}(139, \cdot)\) 672.2.bu.a 256 4
672.2.bw \(\chi_{672}(89, \cdot)\) None 0 4
672.2.by \(\chi_{672}(25, \cdot)\) None 0 4
672.2.ca \(\chi_{672}(103, \cdot)\) None 0 4
672.2.cc \(\chi_{672}(23, \cdot)\) None 0 4
672.2.cf \(\chi_{672}(19, \cdot)\) 672.2.cf.a 512 8
672.2.ch \(\chi_{672}(11, \cdot)\) 672.2.ch.a 992 8
672.2.cj \(\chi_{672}(37, \cdot)\) 672.2.cj.a 512 8
672.2.cl \(\chi_{672}(5, \cdot)\) 672.2.cl.a 992 8

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(672))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(672)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(14))\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(16))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(21))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(24))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(28))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(32))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(42))\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(48))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(56))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(84))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(96))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(112))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(168))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(224))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(336))\)\(^{\oplus 2}\)

Hecke characteristic polynomials

$p$ $F_p(T)$
$2$ 1
$3$ (\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{8} \))(\( ( 1 - T )^{8} \))(\( ( 1 + T^{2} )^{2} \))(\( ( 1 + T^{2} )^{4} \))(\( 1 + 4 T + 8 T^{2} + 12 T^{3} + 9 T^{4} \))(\( 1 - 2 T^{2} + 9 T^{4} \))(\( 1 - 2 T^{2} + 9 T^{4} \))(\( 1 - 4 T + 8 T^{2} - 12 T^{3} + 9 T^{4} \))(\( ( 1 + 4 T^{2} + 9 T^{4} )^{2} \))(\( ( 1 + 2 T + 3 T^{2} )^{2} \))(\( ( 1 + 3 T^{2} )^{2} \))(\( ( 1 - 2 T + 3 T^{2} )^{2} \))(\( ( 1 - 4 T^{2} + 9 T^{4} )^{2} \))(\( 1 - 10 T^{4} + 81 T^{8} \))(\( ( 1 + 2 T + 3 T^{2} )^{2} \))(\( 1 - 2 T + 2 T^{2} - 6 T^{3} + 9 T^{4} \))(\( 1 - 2 T + 2 T^{2} - 6 T^{3} + 9 T^{4} \))(\( ( 1 - T^{2} + 4 T^{3} - 3 T^{4} + 27 T^{6} )^{2} \))(\( 1 - 2 T^{2} + 2 T^{4} - 18 T^{6} + 81 T^{8} \))(\( ( 1 + 3 T^{2} )^{4} \))(\( ( 1 - 4 T^{2} + 9 T^{4} )^{2} \))(\( 1 - 2 T^{2} + 2 T^{4} - 18 T^{6} + 81 T^{8} \))(\( ( 1 + T^{2} )^{8} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( ( 1 + T + T^{2} )^{3} \))(\( ( 1 - T + T^{2} )^{3} \))(\( ( 1 - 3 T^{2} )^{2} \))(\( 1 + 3 T^{2} + 9 T^{4} \))(\( ( 1 + 3 T^{2} + 9 T^{4} )^{2} \))(\( 1 - T^{2} - 3 T^{4} + 14 T^{6} - 74 T^{8} + 126 T^{10} - 243 T^{12} - 729 T^{14} + 6561 T^{16} \))(\( ( 1 + 3 T + 3 T^{2} )^{2} \))(\( ( 1 - 3 T + 3 T^{2} )^{2} \))(\( ( 1 + T + T^{2} )^{8} \))(\( ( 1 - T + T^{2} )^{8} \))
$5$ (\( 1 + 4 T + 5 T^{2} \))(\( 1 + 2 T + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 - 2 T + 5 T^{2} \))(\( 1 + 4 T + 5 T^{2} \))(\( 1 + 2 T + 5 T^{2} \))(\( 1 + 5 T^{2} \))(\( 1 - 2 T + 5 T^{2} \))(\( 1 - 2 T^{2} + 25 T^{4} \))(\( 1 - 2 T^{2} + 25 T^{4} \))(\( 1 - 12 T^{2} + 56 T^{4} + 28 T^{6} - 1074 T^{8} + 700 T^{10} + 35000 T^{12} - 187500 T^{14} + 390625 T^{16} \))(\( 1 - 12 T^{2} + 56 T^{4} + 28 T^{6} - 1074 T^{8} + 700 T^{10} + 35000 T^{12} - 187500 T^{14} + 390625 T^{16} \))(\( 1 - 12 T^{2} + 74 T^{4} - 300 T^{6} + 625 T^{8} \))(\( 1 - 8 T^{2} + 16 T^{4} - 168 T^{6} + 1694 T^{8} - 4200 T^{10} + 10000 T^{12} - 125000 T^{14} + 390625 T^{16} \))(\( 1 - 8 T^{2} + 34 T^{4} - 200 T^{6} + 625 T^{8} \))(\( ( 1 + 8 T^{2} + 25 T^{4} )^{2} \))(\( ( 1 - 8 T^{2} + 25 T^{4} )^{2} \))(\( 1 - 8 T^{2} + 34 T^{4} - 200 T^{6} + 625 T^{8} \))(\( ( 1 - 8 T^{2} + 25 T^{4} )^{4} \))(\( ( 1 - 8 T^{2} + 25 T^{4} )^{2} \))(\( ( 1 + 2 T^{2} + 25 T^{4} )^{2} \))(\( ( 1 - 8 T^{2} + 25 T^{4} )^{2} \))(\( ( 1 - 8 T^{2} + 25 T^{4} )^{4} \))(\( ( 1 + 22 T^{4} + 625 T^{8} )^{2} \))(\( ( 1 + 2 T^{2} + 25 T^{4} )^{2} \))(\( ( 1 + 2 T + 6 T^{2} + 10 T^{3} + 25 T^{4} )^{2} \))(\( ( 1 - 2 T + 6 T^{2} - 10 T^{3} + 25 T^{4} )^{2} \))(\( ( 1 + 14 T^{2} + 107 T^{4} + 588 T^{6} + 2675 T^{8} + 8750 T^{10} + 15625 T^{12} )^{2} \))(\( ( 1 + 6 T^{2} + 42 T^{4} + 150 T^{6} + 625 T^{8} )^{2} \))(\( ( 1 - 34 T^{4} + 625 T^{8} )^{2} \))(\( ( 1 + 8 T^{2} + 25 T^{4} )^{4} \))(\( ( 1 + 6 T^{2} + 42 T^{4} + 150 T^{6} + 625 T^{8} )^{2} \))(\( ( 1 + 16 T^{2} + 140 T^{4} + 832 T^{6} + 4326 T^{8} + 20800 T^{10} + 87500 T^{12} + 250000 T^{14} + 390625 T^{16} )^{2} \))(\( 1 + 3 T + 4 T^{2} + 15 T^{3} + 25 T^{4} \))(\( 1 + T - 4 T^{2} + 5 T^{3} + 25 T^{4} \))(\( 1 - 5 T^{2} + 25 T^{4} \))(\( 1 - 5 T^{2} + 25 T^{4} \))(\( 1 - 4 T + 11 T^{2} - 20 T^{3} + 25 T^{4} \))(\( 1 + 3 T + 4 T^{2} + 15 T^{3} + 25 T^{4} \))(\( 1 + T - 4 T^{2} + 5 T^{3} + 25 T^{4} \))(\( 1 - 5 T^{2} + 25 T^{4} \))(\( 1 - 5 T^{2} + 25 T^{4} \))(\( 1 - 4 T + 11 T^{2} - 20 T^{3} + 25 T^{4} \))(\( 1 - 6 T^{2} + 8 T^{3} + 6 T^{4} - 24 T^{5} + 86 T^{6} - 120 T^{7} + 150 T^{8} + 1000 T^{9} - 3750 T^{10} + 15625 T^{12} \))(\( 1 - 6 T^{2} + 8 T^{3} + 6 T^{4} - 24 T^{5} + 86 T^{6} - 120 T^{7} + 150 T^{8} + 1000 T^{9} - 3750 T^{10} + 15625 T^{12} \))(\( ( 1 + T - 4 T^{2} + 5 T^{3} + 25 T^{4} )^{2} \))(\( ( 1 - T - 4 T^{2} - 5 T^{3} + 25 T^{4} )^{2} \))(\( ( 1 - 3 T^{2} - 16 T^{4} - 75 T^{6} + 625 T^{8} )^{2} \))(\( ( 1 - 7 T^{2} + T^{4} + 14 T^{6} + 454 T^{8} + 350 T^{10} + 625 T^{12} - 109375 T^{14} + 390625 T^{16} )^{2} \))(\( ( 1 + 2 T^{2} + 25 T^{4} )( 1 + 6 T + 17 T^{2} + 30 T^{3} + 25 T^{4} ) \))(\( ( 1 - 6 T + 17 T^{2} - 30 T^{3} + 25 T^{4} )( 1 + 2 T^{2} + 25 T^{4} ) \))(\( 1 + 18 T^{2} + 163 T^{4} - 96 T^{5} + 926 T^{6} - 1152 T^{7} + 3145 T^{8} - 5280 T^{9} + 5460 T^{10} + 2976 T^{11} - 42898 T^{12} + 208512 T^{13} - 629144 T^{14} + 1493856 T^{15} - 4046526 T^{16} + 7469280 T^{17} - 15728600 T^{18} + 26064000 T^{19} - 26811250 T^{20} + 9300000 T^{21} + 85312500 T^{22} - 412500000 T^{23} + 1228515625 T^{24} - 2250000000 T^{25} + 9042968750 T^{26} - 4687500000 T^{27} + 39794921875 T^{28} + 109863281250 T^{30} + 152587890625 T^{32} \))(\( 1 + 18 T^{2} + 163 T^{4} - 96 T^{5} + 926 T^{6} - 1152 T^{7} + 3145 T^{8} - 5280 T^{9} + 5460 T^{10} + 2976 T^{11} - 42898 T^{12} + 208512 T^{13} - 629144 T^{14} + 1493856 T^{15} - 4046526 T^{16} + 7469280 T^{17} - 15728600 T^{18} + 26064000 T^{19} - 26811250 T^{20} + 9300000 T^{21} + 85312500 T^{22} - 412500000 T^{23} + 1228515625 T^{24} - 2250000000 T^{25} + 9042968750 T^{26} - 4687500000 T^{27} + 39794921875 T^{28} + 109863281250 T^{30} + 152587890625 T^{32} \))
$7$ (\( 1 + T \))(\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( 1 + 4 T + 8 T^{2} + 20 T^{3} + 46 T^{4} + 140 T^{5} + 392 T^{6} + 1372 T^{7} + 2401 T^{8} \))(\( 1 - 4 T + 8 T^{2} - 20 T^{3} + 46 T^{4} - 140 T^{5} + 392 T^{6} - 1372 T^{7} + 2401 T^{8} \))(\( ( 1 - T )^{4} \))(\( ( 1 + T )^{8} \))(\( ( 1 + T^{2} )^{2} \))(\( ( 1 + T^{2} )^{2} \))(\( ( 1 + T^{2} )^{2} \))(\( ( 1 + T^{2} )^{2} \))(\( ( 1 + T^{2} )^{4} \))(\( ( 1 - 4 T + 7 T^{2} )^{2} \))(\( ( 1 + 2 T + 7 T^{2} )^{2} \))(\( ( 1 - 4 T + 7 T^{2} )^{2} \))(\( ( 1 + 2 T + 7 T^{2} )^{4} \))(\( ( 1 - 7 T^{2} )^{4} \))(\( ( 1 + T^{2} )^{2} \))(\( ( 1 + T^{2} )^{2} \))(\( ( 1 + T^{2} )^{2} \))(\( ( 1 + T^{2} )^{6} \))(\( ( 1 + 2 T - 2 T^{2} + 14 T^{3} + 49 T^{4} )^{2} \))(\( ( 1 + 7 T^{2} )^{4} \))(\( ( 1 - 6 T^{2} + 49 T^{4} )^{2} \))(\( ( 1 - 2 T - 2 T^{2} - 14 T^{3} + 49 T^{4} )^{2} \))(\( 1 + 4 T^{2} + 68 T^{4} + 572 T^{6} + 3382 T^{8} + 28028 T^{10} + 163268 T^{12} + 470596 T^{14} + 5764801 T^{16} \))(\( 1 - T + 7 T^{2} \))(\( 1 + 5 T + 7 T^{2} \))(\( 1 - T + 7 T^{2} \))(\( 1 - 5 T + 7 T^{2} \))(\( 1 - 5 T + 7 T^{2} \))(\( 1 + T + 7 T^{2} \))(\( 1 - 5 T + 7 T^{2} \))(\( 1 + 5 T + 7 T^{2} \))(\( 1 + T + 7 T^{2} \))(\( 1 + 5 T + 7 T^{2} \))(\( 1 + 3 T - 5 T^{3} + 147 T^{5} + 343 T^{6} \))(\( 1 - 3 T + 5 T^{3} - 147 T^{5} + 343 T^{6} \))(\( 1 + 2 T^{2} + 49 T^{4} \))(\( 1 + 2 T^{2} + 49 T^{4} \))(\( ( 1 - 7 T^{2} + 49 T^{4} )^{2} \))(\( ( 1 + 3 T^{2} - 28 T^{4} + 147 T^{6} + 2401 T^{8} )^{2} \))(\( 1 - 2 T - 3 T^{2} - 14 T^{3} + 49 T^{4} \))(\( 1 - 2 T - 3 T^{2} - 14 T^{3} + 49 T^{4} \))(\( 1 + 4 T - 4 T^{2} - 80 T^{3} - 158 T^{4} + 340 T^{5} + 1792 T^{6} - 180 T^{7} - 9813 T^{8} - 1260 T^{9} + 87808 T^{10} + 116620 T^{11} - 379358 T^{12} - 1344560 T^{13} - 470596 T^{14} + 3294172 T^{15} + 5764801 T^{16} \))(\( 1 - 4 T - 4 T^{2} + 80 T^{3} - 158 T^{4} - 340 T^{5} + 1792 T^{6} + 180 T^{7} - 9813 T^{8} + 1260 T^{9} + 87808 T^{10} - 116620 T^{11} - 379358 T^{12} + 1344560 T^{13} - 470596 T^{14} - 3294172 T^{15} + 5764801 T^{16} \))
$11$ (\( 1 - 2 T + 11 T^{2} \))(\( 1 - 4 T + 11 T^{2} \))(\( 1 + 2 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 2 T + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( 1 - 2 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 4 T + 14 T^{2} + 44 T^{3} + 121 T^{4} \))(\( 1 - 4 T + 14 T^{2} - 44 T^{3} + 121 T^{4} \))(\( 1 - 20 T^{2} + 296 T^{4} - 2268 T^{6} + 20718 T^{8} - 274428 T^{10} + 4333736 T^{12} - 35431220 T^{14} + 214358881 T^{16} \))(\( 1 - 20 T^{2} + 296 T^{4} - 2268 T^{6} + 20718 T^{8} - 274428 T^{10} + 4333736 T^{12} - 35431220 T^{14} + 214358881 T^{16} \))(\( 1 - 20 T^{2} + 234 T^{4} - 2420 T^{6} + 14641 T^{8} \))(\( 1 - 24 T^{2} + 592 T^{4} - 8312 T^{6} + 114206 T^{8} - 1005752 T^{10} + 8667472 T^{12} - 42517464 T^{14} + 214358881 T^{16} \))(\( ( 1 + 2 T + 11 T^{2} )^{4} \))(\( ( 1 + 4 T^{2} + 121 T^{4} )^{2} \))(\( ( 1 + 20 T^{2} + 121 T^{4} )^{2} \))(\( ( 1 - 2 T + 11 T^{2} )^{4} \))(\( ( 1 + 2 T^{2} + 121 T^{4} )^{4} \))(\( ( 1 + 16 T^{2} + 121 T^{4} )^{2} \))(\( ( 1 - 10 T^{2} + 121 T^{4} )^{2} \))(\( ( 1 + 16 T^{2} + 121 T^{4} )^{2} \))(\( ( 1 + 10 T^{2} + 121 T^{4} )^{4} \))(\( ( 1 + 11 T^{2} )^{8} \))(\( ( 1 + 10 T^{2} + 121 T^{4} )^{2} \))(\( ( 1 - 2 T^{2} + 121 T^{4} )^{2} \))(\( ( 1 - 2 T^{2} + 121 T^{4} )^{2} \))(\( ( 1 - 11 T^{2} )^{12} \))(\( ( 1 - 6 T^{2} + 121 T^{4} )^{4} \))(\( ( 1 - 2 T + 2 T^{2} - 22 T^{3} + 121 T^{4} )^{2}( 1 + 2 T + 2 T^{2} + 22 T^{3} + 121 T^{4} )^{2} \))(\( ( 1 - 11 T^{2} )^{8} \))(\( ( 1 - 6 T^{2} + 121 T^{4} )^{4} \))(\( ( 1 - 2 T + 20 T^{2} - 6 T^{3} + 182 T^{4} - 66 T^{5} + 2420 T^{6} - 2662 T^{7} + 14641 T^{8} )^{4} \))(\( 1 - T - 10 T^{2} - 11 T^{3} + 121 T^{4} \))(\( 1 - T - 10 T^{2} - 11 T^{3} + 121 T^{4} \))(\( 1 + 2 T - 7 T^{2} + 22 T^{3} + 121 T^{4} \))(\( 1 + 2 T - 7 T^{2} + 22 T^{3} + 121 T^{4} \))(\( 1 - 6 T + 25 T^{2} - 66 T^{3} + 121 T^{4} \))(\( 1 + T - 10 T^{2} + 11 T^{3} + 121 T^{4} \))(\( 1 + T - 10 T^{2} + 11 T^{3} + 121 T^{4} \))(\( 1 - 2 T - 7 T^{2} - 22 T^{3} + 121 T^{4} \))(\( 1 - 2 T - 7 T^{2} - 22 T^{3} + 121 T^{4} \))(\( 1 + 6 T + 25 T^{2} + 66 T^{3} + 121 T^{4} \))(\( 1 - 6 T^{2} + 76 T^{3} - 30 T^{4} - 228 T^{5} + 3710 T^{6} - 2508 T^{7} - 3630 T^{8} + 101156 T^{9} - 87846 T^{10} + 1771561 T^{12} \))(\( 1 - 6 T^{2} - 76 T^{3} - 30 T^{4} + 228 T^{5} + 3710 T^{6} + 2508 T^{7} - 3630 T^{8} - 101156 T^{9} - 87846 T^{10} + 1771561 T^{12} \))(\( 1 - 3 T^{2} - 112 T^{4} - 363 T^{6} + 14641 T^{8} \))(\( 1 - 3 T^{2} - 112 T^{4} - 363 T^{6} + 14641 T^{8} \))(\( ( 1 + 21 T^{2} + 320 T^{4} + 2541 T^{6} + 14641 T^{8} )^{2} \))(\( ( 1 + 11 T^{2} - 23 T^{4} - 1078 T^{6} - 8546 T^{8} - 130438 T^{10} - 336743 T^{12} + 19487171 T^{14} + 214358881 T^{16} )^{2} \))(\( ( 1 - 10 T^{2} + 121 T^{4} )( 1 + 6 T + 23 T^{2} + 66 T^{3} + 121 T^{4} ) \))(\( ( 1 - 6 T + 23 T^{2} - 66 T^{3} + 121 T^{4} )( 1 - 10 T^{2} + 121 T^{4} ) \))(\( 1 - 12 T + 122 T^{2} - 888 T^{3} + 5699 T^{4} - 31224 T^{5} + 156214 T^{6} - 710532 T^{7} + 3034729 T^{8} - 12231408 T^{9} + 47424804 T^{10} - 178064688 T^{11} + 653004526 T^{12} - 2345920584 T^{13} + 8247983112 T^{14} - 28390858272 T^{15} + 95259200226 T^{16} - 312299440992 T^{17} + 998005956552 T^{18} - 3122420297304 T^{19} + 9560639265166 T^{20} - 28677496067088 T^{21} + 84015933199044 T^{22} - 238355539266768 T^{23} + 650521112578249 T^{24} - 1675397288781612 T^{25} + 4051788846620614 T^{26} - 8908571603157864 T^{27} + 17885903318932979 T^{28} - 30656168383810728 T^{29} + 46329479697155402 T^{30} - 50126978032987812 T^{31} + 45949729863572161 T^{32} \))(\( 1 + 12 T + 122 T^{2} + 888 T^{3} + 5699 T^{4} + 31224 T^{5} + 156214 T^{6} + 710532 T^{7} + 3034729 T^{8} + 12231408 T^{9} + 47424804 T^{10} + 178064688 T^{11} + 653004526 T^{12} + 2345920584 T^{13} + 8247983112 T^{14} + 28390858272 T^{15} + 95259200226 T^{16} + 312299440992 T^{17} + 998005956552 T^{18} + 3122420297304 T^{19} + 9560639265166 T^{20} + 28677496067088 T^{21} + 84015933199044 T^{22} + 238355539266768 T^{23} + 650521112578249 T^{24} + 1675397288781612 T^{25} + 4051788846620614 T^{26} + 8908571603157864 T^{27} + 17885903318932979 T^{28} + 30656168383810728 T^{29} + 46329479697155402 T^{30} + 50126978032987812 T^{31} + 45949729863572161 T^{32} \))
$13$ (\( 1 + 2 T + 13 T^{2} \))(\( 1 + 6 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 + 6 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( ( 1 - 2 T + 13 T^{2} )^{2} \))(\( ( 1 - 2 T + 13 T^{2} )^{2} \))(\( ( 1 - 18 T^{2} + 169 T^{4} )^{4} \))(\( ( 1 - 18 T^{2} + 169 T^{4} )^{4} \))(\( 1 - 20 T^{2} + 246 T^{4} - 3380 T^{6} + 28561 T^{8} \))(\( 1 - 48 T^{2} + 1340 T^{4} - 26704 T^{6} + 396198 T^{8} - 4512976 T^{10} + 38271740 T^{12} - 231686832 T^{14} + 815730721 T^{16} \))(\( ( 1 - 4 T + 28 T^{2} - 52 T^{3} + 169 T^{4} )^{2} \))(\( ( 1 + 2 T + 13 T^{2} )^{4} \))(\( ( 1 - 6 T + 13 T^{2} )^{4} \))(\( ( 1 - 4 T + 28 T^{2} - 52 T^{3} + 169 T^{4} )^{2} \))(\( ( 1 + 8 T + 32 T^{2} + 104 T^{3} + 169 T^{4} )^{4} \))(\( ( 1 + 2 T + 13 T^{2} )^{4} \))(\( ( 1 + 13 T^{2} )^{4} \))(\( ( 1 - 2 T + 13 T^{2} )^{4} \))(\( ( 1 + 16 T^{2} + 169 T^{4} )^{4} \))(\( ( 1 + 310 T^{4} + 28561 T^{8} )^{2} \))(\( ( 1 - 6 T + 13 T^{2} )^{2}( 1 + 6 T + 13 T^{2} )^{2} \))(\( 1 - 40 T^{2} + 718 T^{4} - 6760 T^{6} + 28561 T^{8} \))(\( 1 - 40 T^{2} + 718 T^{4} - 6760 T^{6} + 28561 T^{8} \))(\( ( 1 - 14 T^{2} + 331 T^{4} - 5132 T^{6} + 55939 T^{8} - 399854 T^{10} + 4826809 T^{12} )^{2} \))(\( ( 1 - 6 T^{2} + 330 T^{4} - 1014 T^{6} + 28561 T^{8} )^{2} \))(\( ( 1 - 13 T^{2} )^{8} \))(\( ( 1 - 16 T^{2} + 169 T^{4} )^{4} \))(\( ( 1 - 6 T^{2} + 330 T^{4} - 1014 T^{6} + 28561 T^{8} )^{2} \))(\( ( 1 + 36 T^{2} + 692 T^{4} + 12604 T^{6} + 195894 T^{8} + 2130076 T^{10} + 19764212 T^{12} + 173765124 T^{14} + 815730721 T^{16} )^{2} \))(\( ( 1 + 4 T + 13 T^{2} )^{2} \))(\( ( 1 + 13 T^{2} )^{2} \))(\( ( 1 - 5 T + 13 T^{2} )^{2} \))(\( ( 1 - T + 13 T^{2} )^{2} \))(\( ( 1 - 5 T + 13 T^{2} )^{2} \))(\( ( 1 + 4 T + 13 T^{2} )^{2} \))(\( ( 1 + 13 T^{2} )^{2} \))(\( ( 1 - T + 13 T^{2} )^{2} \))(\( ( 1 - 5 T + 13 T^{2} )^{2} \))(\( ( 1 - 5 T + 13 T^{2} )^{2} \))(\( ( 1 + 3 T + 3 T^{2} - 34 T^{3} + 39 T^{4} + 507 T^{5} + 2197 T^{6} )^{2} \))(\( ( 1 + 3 T + 3 T^{2} - 34 T^{3} + 39 T^{4} + 507 T^{5} + 2197 T^{6} )^{2} \))(\( ( 1 - 14 T^{2} + 169 T^{4} )^{2} \))(\( ( 1 - 14 T^{2} + 169 T^{4} )^{2} \))(\( ( 1 - 14 T^{2} + 169 T^{4} )^{4} \))(\( ( 1 - 5 T^{2} - 12 T^{4} - 845 T^{6} + 28561 T^{8} )^{4} \))(\( ( 1 + 13 T^{2} )^{4} \))(\( ( 1 + 13 T^{2} )^{4} \))(\( 1 - 84 T^{2} + 3350 T^{4} - 88392 T^{6} + 1800769 T^{8} - 30564216 T^{10} + 453375110 T^{12} - 6200312460 T^{14} + 81612322276 T^{16} - 1047852805740 T^{18} + 12948846516710 T^{20} - 147527632866744 T^{22} + 1468942594724449 T^{24} - 12185587811516808 T^{26} + 78048585160311350 T^{28} - 330739616398740276 T^{30} + 665416609183179841 T^{32} \))(\( 1 - 84 T^{2} + 3350 T^{4} - 88392 T^{6} + 1800769 T^{8} - 30564216 T^{10} + 453375110 T^{12} - 6200312460 T^{14} + 81612322276 T^{16} - 1047852805740 T^{18} + 12948846516710 T^{20} - 147527632866744 T^{22} + 1468942594724449 T^{24} - 12185587811516808 T^{26} + 78048585160311350 T^{28} - 330739616398740276 T^{30} + 665416609183179841 T^{32} \))
$17$ (\( 1 + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 - 4 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 - 4 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 - 8 T + 38 T^{2} - 136 T^{3} + 289 T^{4} \))(\( 1 - 8 T + 38 T^{2} - 136 T^{3} + 289 T^{4} \))(\( 1 - 108 T^{2} + 5432 T^{4} - 166628 T^{6} + 3420078 T^{8} - 48155492 T^{10} + 453686072 T^{12} - 2606857452 T^{14} + 6975757441 T^{16} \))(\( 1 - 108 T^{2} + 5432 T^{4} - 166628 T^{6} + 3420078 T^{8} - 48155492 T^{10} + 453686072 T^{12} - 2606857452 T^{14} + 6975757441 T^{16} \))(\( ( 1 - 2 T + 8 T^{2} - 34 T^{3} + 289 T^{4} )^{2} \))(\( ( 1 - 2 T + 38 T^{2} - 70 T^{3} + 706 T^{4} - 1190 T^{5} + 10982 T^{6} - 9826 T^{7} + 83521 T^{8} )^{2} \))(\( 1 - 44 T^{2} + 934 T^{4} - 12716 T^{6} + 83521 T^{8} \))(\( ( 1 + 16 T^{2} + 289 T^{4} )^{2} \))(\( ( 1 - 32 T^{2} + 289 T^{4} )^{2} \))(\( 1 - 44 T^{2} + 934 T^{4} - 12716 T^{6} + 83521 T^{8} \))(\( ( 1 - 12 T^{2} - 26 T^{4} - 3468 T^{6} + 83521 T^{8} )^{2} \))(\( ( 1 - 20 T^{2} + 289 T^{4} )^{2} \))(\( ( 1 + 17 T^{2} )^{4} \))(\( ( 1 - 20 T^{2} + 289 T^{4} )^{2} \))(\( ( 1 + 17 T^{2} )^{8} \))(\( ( 1 + 17 T^{2} )^{8} \))(\( ( 1 - 26 T^{2} + 289 T^{4} )^{2} \))(\( ( 1 - 8 T + 17 T^{2} )^{2}( 1 + 8 T + 17 T^{2} )^{2} \))(\( ( 1 - 8 T + 17 T^{2} )^{2}( 1 + 8 T + 17 T^{2} )^{2} \))(\( ( 1 - 38 T^{2} + 1151 T^{4} - 20724 T^{6} + 332639 T^{8} - 3173798 T^{10} + 24137569 T^{12} )^{2} \))(\( ( 1 + 28 T^{2} + 502 T^{4} + 8092 T^{6} + 83521 T^{8} )^{2} \))(\( ( 1 - 178 T^{4} + 83521 T^{8} )^{2} \))(\( ( 1 + 26 T^{2} + 289 T^{4} )^{4} \))(\( ( 1 + 28 T^{2} + 502 T^{4} + 8092 T^{6} + 83521 T^{8} )^{2} \))(\( ( 1 - 72 T^{2} + 2652 T^{4} - 66024 T^{6} + 1253414 T^{8} - 19080936 T^{10} + 221497692 T^{12} - 1737904968 T^{14} + 6975757441 T^{16} )^{2} \))(\( 1 + 4 T - T^{2} + 68 T^{3} + 289 T^{4} \))(\( 1 - 8 T + 47 T^{2} - 136 T^{3} + 289 T^{4} \))(\( 1 - 2 T - 13 T^{2} - 34 T^{3} + 289 T^{4} \))(\( 1 - 2 T - 13 T^{2} - 34 T^{3} + 289 T^{4} \))(\( 1 + 2 T - 13 T^{2} + 34 T^{3} + 289 T^{4} \))(\( 1 + 4 T - T^{2} + 68 T^{3} + 289 T^{4} \))(\( 1 - 8 T + 47 T^{2} - 136 T^{3} + 289 T^{4} \))(\( 1 - 2 T - 13 T^{2} - 34 T^{3} + 289 T^{4} \))(\( 1 - 2 T - 13 T^{2} - 34 T^{3} + 289 T^{4} \))(\( 1 + 2 T - 13 T^{2} + 34 T^{3} + 289 T^{4} \))(\( 1 + 6 T + 9 T^{2} - 54 T^{3} - 378 T^{4} - 858 T^{5} - 1307 T^{6} - 14586 T^{7} - 109242 T^{8} - 265302 T^{9} + 751689 T^{10} + 8519142 T^{11} + 24137569 T^{12} \))(\( 1 + 6 T + 9 T^{2} - 54 T^{3} - 378 T^{4} - 858 T^{5} - 1307 T^{6} - 14586 T^{7} - 109242 T^{8} - 265302 T^{9} + 751689 T^{10} + 8519142 T^{11} + 24137569 T^{12} \))(\( ( 1 + T - 16 T^{2} + 17 T^{3} + 289 T^{4} )^{2} \))(\( ( 1 - T - 16 T^{2} - 17 T^{3} + 289 T^{4} )^{2} \))(\( ( 1 - 6 T^{2} - 253 T^{4} - 1734 T^{6} + 83521 T^{8} )^{2} \))(\( ( 1 - 55 T^{2} + 1705 T^{4} - 40810 T^{6} + 784654 T^{8} - 11794090 T^{10} + 142403305 T^{12} - 1327566295 T^{14} + 6975757441 T^{16} )^{2} \))(\( ( 1 - 17 T^{2} + 289 T^{4} )^{2} \))(\( ( 1 - 17 T^{2} + 289 T^{4} )^{2} \))(\( 1 + 48 T^{2} + 724 T^{4} - 2880 T^{5} + 5408 T^{6} - 128640 T^{7} + 180202 T^{8} - 1624320 T^{9} + 8804880 T^{10} - 9221184 T^{11} + 226101200 T^{12} - 511068864 T^{13} + 2089948240 T^{14} - 16835139072 T^{15} + 2634028179 T^{16} - 286197364224 T^{17} + 603995041360 T^{18} - 2510881328832 T^{19} + 18884198325200 T^{20} - 13092762650688 T^{21} + 212528398536720 T^{22} - 666521313327360 T^{23} + 1257045442383082 T^{24} - 15255144432574080 T^{25} + 10902495013628192 T^{26} - 98703061365983040 T^{27} + 421818499754346964 T^{28} + 8082135674851244592 T^{30} + 48661191875666868481 T^{32} \))(\( 1 + 48 T^{2} + 724 T^{4} - 2880 T^{5} + 5408 T^{6} - 128640 T^{7} + 180202 T^{8} - 1624320 T^{9} + 8804880 T^{10} - 9221184 T^{11} + 226101200 T^{12} - 511068864 T^{13} + 2089948240 T^{14} - 16835139072 T^{15} + 2634028179 T^{16} - 286197364224 T^{17} + 603995041360 T^{18} - 2510881328832 T^{19} + 18884198325200 T^{20} - 13092762650688 T^{21} + 212528398536720 T^{22} - 666521313327360 T^{23} + 1257045442383082 T^{24} - 15255144432574080 T^{25} + 10902495013628192 T^{26} - 98703061365983040 T^{27} + 421818499754346964 T^{28} + 8082135674851244592 T^{30} + 48661191875666868481 T^{32} \))
$19$ (\( 1 - 4 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 - 10 T^{2} + 361 T^{4} \))(\( 1 - 10 T^{2} + 361 T^{4} \))(\( ( 1 + 4 T + 32 T^{2} + 132 T^{3} + 558 T^{4} + 2508 T^{5} + 11552 T^{6} + 27436 T^{7} + 130321 T^{8} )^{2} \))(\( ( 1 - 4 T + 32 T^{2} - 132 T^{3} + 558 T^{4} - 2508 T^{5} + 11552 T^{6} - 27436 T^{7} + 130321 T^{8} )^{2} \))(\( 1 - 20 T^{2} + 54 T^{4} - 7220 T^{6} + 130321 T^{8} \))(\( 1 - 64 T^{2} + 2012 T^{4} - 42432 T^{6} + 793446 T^{8} - 15317952 T^{10} + 262205852 T^{12} - 3010936384 T^{14} + 16983563041 T^{16} \))(\( 1 - 32 T^{2} + 690 T^{4} - 11552 T^{6} + 130321 T^{8} \))(\( ( 1 - 22 T^{2} + 361 T^{4} )^{2} \))(\( ( 1 - 22 T^{2} + 361 T^{4} )^{2} \))(\( 1 - 32 T^{2} + 690 T^{4} - 11552 T^{6} + 130321 T^{8} \))(\( ( 1 - 24 T^{2} + 226 T^{4} - 8664 T^{6} + 130321 T^{8} )^{2} \))(\( ( 1 + 4 T + 19 T^{2} )^{4} \))(\( ( 1 + 19 T^{2} )^{4} \))(\( ( 1 - 4 T + 19 T^{2} )^{4} \))(\( ( 1 + 28 T^{2} + 361 T^{4} )^{4} \))(\( ( 1 - 650 T^{4} + 130321 T^{8} )^{2} \))(\( ( 1 - 2 T + 19 T^{2} )^{4} \))(\( ( 1 + 10 T + 58 T^{2} + 190 T^{3} + 361 T^{4} )^{2} \))(\( ( 1 + 10 T + 58 T^{2} + 190 T^{3} + 361 T^{4} )^{2} \))(\( ( 1 - 12 T + 95 T^{2} - 476 T^{3} + 1805 T^{4} - 4332 T^{5} + 6859 T^{6} )^{4} \))(\( ( 1 - 66 T^{2} + 1794 T^{4} - 23826 T^{6} + 130321 T^{8} )^{2} \))(\( ( 1 - 10 T^{2} + 361 T^{4} )^{4} \))(\( ( 1 - 20 T^{2} + 361 T^{4} )^{4} \))(\( ( 1 - 66 T^{2} + 1794 T^{4} - 23826 T^{6} + 130321 T^{8} )^{2} \))(\( ( 1 - 56 T^{2} + 1532 T^{4} - 36808 T^{6} + 804262 T^{8} - 13287688 T^{10} + 199651772 T^{12} - 2634569336 T^{14} + 16983563041 T^{16} )^{2} \))(\( 1 - 19 T^{2} + 361 T^{4} \))(\( 1 + 4 T - 3 T^{2} + 76 T^{3} + 361 T^{4} \))(\( 1 + 3 T - 10 T^{2} + 57 T^{3} + 361 T^{4} \))(\( 1 - 5 T + 6 T^{2} - 95 T^{3} + 361 T^{4} \))(\( ( 1 - 8 T + 19 T^{2} )( 1 + 7 T + 19 T^{2} ) \))(\( 1 - 19 T^{2} + 361 T^{4} \))(\( 1 - 4 T - 3 T^{2} - 76 T^{3} + 361 T^{4} \))(\( 1 + 5 T + 6 T^{2} + 95 T^{3} + 361 T^{4} \))(\( 1 - 3 T - 10 T^{2} - 57 T^{3} + 361 T^{4} \))(\( ( 1 - 7 T + 19 T^{2} )( 1 + 8 T + 19 T^{2} ) \))(\( 1 + 3 T - 12 T^{2} + 59 T^{3} + 36 T^{4} - 1269 T^{5} + 2094 T^{6} - 24111 T^{7} + 12996 T^{8} + 404681 T^{9} - 1563852 T^{10} + 7428297 T^{11} + 47045881 T^{12} \))(\( 1 - 3 T - 12 T^{2} - 59 T^{3} + 36 T^{4} + 1269 T^{5} + 2094 T^{6} + 24111 T^{7} + 12996 T^{8} - 404681 T^{9} - 1563852 T^{10} - 7428297 T^{11} + 47045881 T^{12} \))(\( ( 1 + 11 T^{2} + 361 T^{4} )( 1 + 26 T^{2} + 361 T^{4} ) \))(\( ( 1 + 11 T^{2} + 361 T^{4} )( 1 + 26 T^{2} + 361 T^{4} ) \))(\( ( 1 + 10 T^{2} - 261 T^{4} + 3610 T^{6} + 130321 T^{8} )^{2} \))(\( ( 1 + 28 T^{2} + 379 T^{4} - 8876 T^{6} - 249320 T^{8} - 3204236 T^{10} + 49391659 T^{12} + 1317284668 T^{14} + 16983563041 T^{16} )^{2} \))(\( ( 1 - 19 T^{2} + 361 T^{4} )^{2} \))(\( ( 1 - 19 T^{2} + 361 T^{4} )^{2} \))(\( 1 - 4 T - 46 T^{2} + 296 T^{3} + 931 T^{4} - 11288 T^{5} - 1970 T^{6} + 262932 T^{7} - 361639 T^{8} - 4327472 T^{9} + 10279876 T^{10} + 57644240 T^{11} - 192706850 T^{12} - 648662264 T^{13} + 3481638296 T^{14} + 4680631584 T^{15} - 67921193790 T^{16} + 88932000096 T^{17} + 1256871424856 T^{18} - 4449174468776 T^{19} - 25113749398850 T^{20} + 142732845019760 T^{21} + 483625822990756 T^{22} - 3868204922113808 T^{23} - 6141918754584199 T^{24} + 84844921752428028 T^{25} - 12078200527867970 T^{26} - 1314942042443096072 T^{27} + 2060596189650595891 T^{28} + 12447683104828089464 T^{29} - 36754307546012669566 T^{30} - 60724508119499193196 T^{31} + \)\(28\!\cdots\!81\)\( T^{32} \))(\( 1 + 4 T - 46 T^{2} - 296 T^{3} + 931 T^{4} + 11288 T^{5} - 1970 T^{6} - 262932 T^{7} - 361639 T^{8} + 4327472 T^{9} + 10279876 T^{10} - 57644240 T^{11} - 192706850 T^{12} + 648662264 T^{13} + 3481638296 T^{14} - 4680631584 T^{15} - 67921193790 T^{16} - 88932000096 T^{17} + 1256871424856 T^{18} + 4449174468776 T^{19} - 25113749398850 T^{20} - 142732845019760 T^{21} + 483625822990756 T^{22} + 3868204922113808 T^{23} - 6141918754584199 T^{24} - 84844921752428028 T^{25} - 12078200527867970 T^{26} + 1314942042443096072 T^{27} + 2060596189650595891 T^{28} - 12447683104828089464 T^{29} - 36754307546012669566 T^{30} + 60724508119499193196 T^{31} + \)\(28\!\cdots\!81\)\( T^{32} \))
$23$ (\( 1 - 6 T + 23 T^{2} \))(\( 1 - 4 T + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 6 T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( 1 - 6 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 4 T + 38 T^{2} + 92 T^{3} + 529 T^{4} \))(\( 1 - 4 T + 38 T^{2} - 92 T^{3} + 529 T^{4} \))(\( 1 - 100 T^{2} + 5000 T^{4} - 174764 T^{6} + 4622926 T^{8} - 92450156 T^{10} + 1399205000 T^{12} - 14803588900 T^{14} + 78310985281 T^{16} \))(\( 1 - 100 T^{2} + 5000 T^{4} - 174764 T^{6} + 4622926 T^{8} - 92450156 T^{10} + 1399205000 T^{12} - 14803588900 T^{14} + 78310985281 T^{16} \))(\( ( 1 - 10 T + 68 T^{2} - 230 T^{3} + 529 T^{4} )^{2} \))(\( ( 1 + 6 T + 74 T^{2} + 334 T^{3} + 2282 T^{4} + 7682 T^{5} + 39146 T^{6} + 73002 T^{7} + 279841 T^{8} )^{2} \))(\( ( 1 - 4 T + 23 T^{2} )^{4} \))(\( ( 1 + 44 T^{2} + 529 T^{4} )^{2} \))(\( ( 1 - 4 T^{2} + 529 T^{4} )^{2} \))(\( ( 1 + 4 T + 23 T^{2} )^{4} \))(\( ( 1 + 14 T^{2} + 529 T^{4} )^{4} \))(\( ( 1 - 44 T^{2} + 529 T^{4} )^{2} \))(\( ( 1 - 23 T^{2} )^{4} \))(\( ( 1 - 44 T^{2} + 529 T^{4} )^{2} \))(\( ( 1 - 26 T^{2} + 529 T^{4} )^{4} \))(\( ( 1 - 6 T + 23 T^{2} )^{4}( 1 + 6 T + 23 T^{2} )^{4} \))(\( ( 1 + 38 T^{2} + 529 T^{4} )^{2} \))(\( ( 1 - 8 T + 42 T^{2} - 184 T^{3} + 529 T^{4} )^{2} \))(\( ( 1 + 8 T + 42 T^{2} + 184 T^{3} + 529 T^{4} )^{2} \))(\( ( 1 + 66 T^{2} + 2399 T^{4} + 64348 T^{6} + 1269071 T^{8} + 18469506 T^{10} + 148035889 T^{12} )^{2} \))(\( ( 1 - 40 T^{2} + 846 T^{4} - 21160 T^{6} + 279841 T^{8} )^{2} \))(\( ( 1 - 10 T + 50 T^{2} - 230 T^{3} + 529 T^{4} )^{2}( 1 + 10 T + 50 T^{2} + 230 T^{3} + 529 T^{4} )^{2} \))(\( ( 1 - 10 T^{2} + 529 T^{4} )^{4} \))(\( ( 1 - 40 T^{2} + 846 T^{4} - 21160 T^{6} + 279841 T^{8} )^{2} \))(\( ( 1 - 88 T^{2} + 3548 T^{4} - 96952 T^{6} + 2287782 T^{8} - 51287608 T^{10} + 992875868 T^{12} - 13027158232 T^{14} + 78310985281 T^{16} )^{2} \))(\( 1 + 8 T + 41 T^{2} + 184 T^{3} + 529 T^{4} \))(\( 1 - 4 T - 7 T^{2} - 92 T^{3} + 529 T^{4} \))(\( 1 + 2 T - 19 T^{2} + 46 T^{3} + 529 T^{4} \))(\( 1 - 6 T + 13 T^{2} - 138 T^{3} + 529 T^{4} \))(\( 1 + 6 T + 13 T^{2} + 138 T^{3} + 529 T^{4} \))(\( 1 - 8 T + 41 T^{2} - 184 T^{3} + 529 T^{4} \))(\( 1 + 4 T - 7 T^{2} + 92 T^{3} + 529 T^{4} \))(\( 1 + 6 T + 13 T^{2} + 138 T^{3} + 529 T^{4} \))(\( 1 - 2 T - 19 T^{2} - 46 T^{3} + 529 T^{4} \))(\( 1 - 6 T + 13 T^{2} - 138 T^{3} + 529 T^{4} \))(\( 1 - 6 T - 9 T^{2} + 90 T^{3} - 90 T^{4} + 1146 T^{5} - 8885 T^{6} + 26358 T^{7} - 47610 T^{8} + 1095030 T^{9} - 2518569 T^{10} - 38618058 T^{11} + 148035889 T^{12} \))(\( 1 + 6 T - 9 T^{2} - 90 T^{3} - 90 T^{4} - 1146 T^{5} - 8885 T^{6} - 26358 T^{7} - 47610 T^{8} - 1095030 T^{9} - 2518569 T^{10} + 38618058 T^{11} + 148035889 T^{12} \))(\( 1 + 21 T^{2} - 88 T^{4} + 11109 T^{6} + 279841 T^{8} \))(\( 1 + 21 T^{2} - 88 T^{4} + 11109 T^{6} + 279841 T^{8} \))(\( ( 1 + 42 T^{2} + 1235 T^{4} + 22218 T^{6} + 279841 T^{8} )^{2} \))(\( ( 1 + 23 T^{2} + 493 T^{4} - 23506 T^{6} - 558386 T^{8} - 12434674 T^{10} + 137961613 T^{12} + 3404825447 T^{14} + 78310985281 T^{16} )^{2} \))(\( ( 1 + 23 T^{2} + 529 T^{4} )^{2} \))(\( ( 1 + 23 T^{2} + 529 T^{4} )^{2} \))(\( 1 + 88 T^{2} + 3860 T^{4} + 5664 T^{5} + 94672 T^{6} + 516288 T^{7} + 1094890 T^{8} + 23434368 T^{9} + 10505704 T^{10} + 632564832 T^{11} + 1223438416 T^{12} + 9864851424 T^{13} + 71879999784 T^{14} + 85610565888 T^{15} + 2190561467667 T^{16} + 1969043015424 T^{17} + 38024519885736 T^{18} + 120025647275808 T^{19} + 342368229771856 T^{20} + 4071404228489376 T^{21} + 1555221231210856 T^{22} + 79789932500762496 T^{23} + 85741914674314090 T^{24} + 929913505281409344 T^{25} + 3921930669618578128 T^{26} + 5396714468824482528 T^{27} + 84590450307598439060 T^{28} + \)\(10\!\cdots\!92\)\( T^{30} + \)\(61\!\cdots\!61\)\( T^{32} \))(\( 1 + 88 T^{2} + 3860 T^{4} - 5664 T^{5} + 94672 T^{6} - 516288 T^{7} + 1094890 T^{8} - 23434368 T^{9} + 10505704 T^{10} - 632564832 T^{11} + 1223438416 T^{12} - 9864851424 T^{13} + 71879999784 T^{14} - 85610565888 T^{15} + 2190561467667 T^{16} - 1969043015424 T^{17} + 38024519885736 T^{18} - 120025647275808 T^{19} + 342368229771856 T^{20} - 4071404228489376 T^{21} + 1555221231210856 T^{22} - 79789932500762496 T^{23} + 85741914674314090 T^{24} - 929913505281409344 T^{25} + 3921930669618578128 T^{26} - 5396714468824482528 T^{27} + 84590450307598439060 T^{28} + \)\(10\!\cdots\!92\)\( T^{30} + \)\(61\!\cdots\!61\)\( T^{32} \))
$29$ (\( 1 + 10 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 10 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 - 4 T + 14 T^{2} - 116 T^{3} + 841 T^{4} \))(\( 1 - 4 T + 14 T^{2} - 116 T^{3} + 841 T^{4} \))(\( ( 1 + 36 T^{2} + 96 T^{3} + 390 T^{4} + 2784 T^{5} + 30276 T^{6} + 707281 T^{8} )^{2} \))(\( ( 1 + 36 T^{2} + 96 T^{3} + 390 T^{4} + 2784 T^{5} + 30276 T^{6} + 707281 T^{8} )^{2} \))(\( ( 1 - 46 T^{2} + 841 T^{4} )^{2} \))(\( 1 - 16 T^{2} + 2876 T^{4} - 34928 T^{6} + 3439654 T^{8} - 29374448 T^{10} + 2034140156 T^{12} - 9517173136 T^{14} + 500246412961 T^{16} \))(\( 1 - 92 T^{2} + 3670 T^{4} - 77372 T^{6} + 707281 T^{8} \))(\( ( 1 - 50 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 + 14 T^{2} + 841 T^{4} )^{2} \))(\( 1 - 92 T^{2} + 3670 T^{4} - 77372 T^{6} + 707281 T^{8} \))(\( ( 1 - 60 T^{2} + 1942 T^{4} - 50460 T^{6} + 707281 T^{8} )^{2} \))(\( ( 1 + 34 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 + 50 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 + 34 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 + 10 T^{2} + 841 T^{4} )^{4} \))(\( ( 1 + 29 T^{2} )^{8} \))(\( ( 1 + 26 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 + 29 T^{2} )^{4} \))(\( ( 1 + 29 T^{2} )^{4} \))(\( ( 1 + 46 T^{2} + 2695 T^{4} + 76516 T^{6} + 2266495 T^{8} + 32534926 T^{10} + 594823321 T^{12} )^{2} \))(\( ( 1 - 64 T^{2} + 2094 T^{4} - 53824 T^{6} + 707281 T^{8} )^{2} \))(\( ( 1 - 29 T^{2} )^{8} \))(\( ( 1 - 38 T^{2} + 841 T^{4} )^{4} \))(\( ( 1 - 64 T^{2} + 2094 T^{4} - 53824 T^{6} + 707281 T^{8} )^{2} \))(\( ( 1 - 164 T^{2} + 12980 T^{4} - 650812 T^{6} + 22500790 T^{8} - 547332892 T^{10} + 9180507380 T^{12} - 97551024644 T^{14} + 500246412961 T^{16} )^{2} \))(\( ( 1 + 7 T + 29 T^{2} )^{2} \))(\( ( 1 + 5 T + 29 T^{2} )^{2} \))(\( ( 1 - 8 T + 29 T^{2} )^{2} \))(\( ( 1 + 8 T + 29 T^{2} )^{2} \))(\( ( 1 + 29 T^{2} )^{2} \))(\( ( 1 + 7 T + 29 T^{2} )^{2} \))(\( ( 1 + 5 T + 29 T^{2} )^{2} \))(\( ( 1 + 8 T + 29 T^{2} )^{2} \))(\( ( 1 - 8 T + 29 T^{2} )^{2} \))(\( ( 1 + 29 T^{2} )^{2} \))(\( ( 1 - 12 T + 126 T^{2} - 728 T^{3} + 3654 T^{4} - 10092 T^{5} + 24389 T^{6} )^{2} \))(\( ( 1 - 12 T + 126 T^{2} - 728 T^{3} + 3654 T^{4} - 10092 T^{5} + 24389 T^{6} )^{2} \))(\( ( 1 - 46 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 - 46 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 - 37 T^{2} + 841 T^{4} )^{4} \))(\( ( 1 + 56 T^{2} + 2238 T^{4} + 47096 T^{6} + 707281 T^{8} )^{4} \))(\( ( 1 - 18 T + 137 T^{2} - 522 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 + 18 T + 137 T^{2} + 522 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 + 126 T^{2} + 96 T^{3} + 8529 T^{4} + 8640 T^{5} + 396966 T^{6} + 391008 T^{7} + 13413812 T^{8} + 11339232 T^{9} + 333848406 T^{10} + 210720960 T^{11} + 6032399649 T^{12} + 1969070304 T^{13} + 74947738446 T^{14} + 500246412961 T^{16} )^{2} \))(\( ( 1 + 126 T^{2} + 96 T^{3} + 8529 T^{4} + 8640 T^{5} + 396966 T^{6} + 391008 T^{7} + 13413812 T^{8} + 11339232 T^{9} + 333848406 T^{10} + 210720960 T^{11} + 6032399649 T^{12} + 1969070304 T^{13} + 74947738446 T^{14} + 500246412961 T^{16} )^{2} \))
$31$ (\( 1 - 8 T + 31 T^{2} \))(\( 1 + 8 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 + 8 T + 31 T^{2} \))(\( 1 - 8 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 - 8 T + 30 T^{2} - 248 T^{3} + 961 T^{4} \))(\( 1 + 8 T + 30 T^{2} + 248 T^{3} + 961 T^{4} \))(\( ( 1 - 8 T + 100 T^{2} - 616 T^{3} + 4534 T^{4} - 19096 T^{5} + 96100 T^{6} - 238328 T^{7} + 923521 T^{8} )^{2} \))(\( ( 1 + 8 T + 100 T^{2} + 616 T^{3} + 4534 T^{4} + 19096 T^{5} + 96100 T^{6} + 238328 T^{7} + 923521 T^{8} )^{2} \))(\( ( 1 + 2 T + 31 T^{2} )^{4} \))(\( ( 1 + 4 T + 80 T^{2} + 244 T^{3} + 3294 T^{4} + 7564 T^{5} + 76880 T^{6} + 119164 T^{7} + 923521 T^{8} )^{2} \))(\( 1 - 76 T^{2} + 2854 T^{4} - 73036 T^{6} + 923521 T^{8} \))(\( ( 1 - 58 T^{2} + 961 T^{4} )^{2} \))(\( ( 1 - 58 T^{2} + 961 T^{4} )^{2} \))(\( 1 - 76 T^{2} + 2854 T^{4} - 73036 T^{6} + 923521 T^{8} \))(\( ( 1 - 22 T^{2} + 961 T^{4} )^{4} \))(\( ( 1 - 14 T^{2} + 961 T^{4} )^{2} \))(\( ( 1 - 10 T + 31 T^{2} )^{2}( 1 + 10 T + 31 T^{2} )^{2} \))(\( ( 1 - 14 T^{2} + 961 T^{4} )^{2} \))(\( ( 1 - 10 T + 31 T^{2} )^{4}( 1 + 10 T + 31 T^{2} )^{4} \))(\( ( 1 - 31 T^{2} )^{8} \))(\( ( 1 - 31 T^{2} )^{4} \))(\( ( 1 + 18 T^{2} + 961 T^{4} )^{2} \))(\( ( 1 + 18 T^{2} + 961 T^{4} )^{2} \))(\( ( 1 - 31 T^{2} )^{12} \))(\( ( 1 - 96 T^{2} + 4158 T^{4} - 92256 T^{6} + 923521 T^{8} )^{2} \))(\( ( 1 - 50 T^{2} + 961 T^{4} )^{4} \))(\( ( 1 - 30 T^{2} + 961 T^{4} )^{4} \))(\( ( 1 - 96 T^{2} + 4158 T^{4} - 92256 T^{6} + 923521 T^{8} )^{2} \))(\( ( 1 + 68 T^{2} + 5252 T^{4} + 204988 T^{6} + 8264182 T^{8} + 196993468 T^{10} + 4850332292 T^{12} + 60350250308 T^{14} + 852891037441 T^{16} )^{2} \))(\( ( 1 + 4 T + 31 T^{2} )( 1 + 7 T + 31 T^{2} ) \))(\( ( 1 - 11 T + 31 T^{2} )( 1 + 4 T + 31 T^{2} ) \))(\( 1 - T - 30 T^{2} - 31 T^{3} + 961 T^{4} \))(\( 1 + 3 T - 22 T^{2} + 93 T^{3} + 961 T^{4} \))(\( 1 + 3 T - 22 T^{2} + 93 T^{3} + 961 T^{4} \))(\( ( 1 - 7 T + 31 T^{2} )( 1 - 4 T + 31 T^{2} ) \))(\( ( 1 - 4 T + 31 T^{2} )( 1 + 11 T + 31 T^{2} ) \))(\( 1 - 3 T - 22 T^{2} - 93 T^{3} + 961 T^{4} \))(\( 1 + T - 30 T^{2} + 31 T^{3} + 961 T^{4} \))(\( 1 - 3 T - 22 T^{2} - 93 T^{3} + 961 T^{4} \))(\( 1 + 3 T - 63 T^{2} - 62 T^{3} + 2535 T^{4} - 501 T^{5} - 90450 T^{6} - 15531 T^{7} + 2436135 T^{8} - 1847042 T^{9} - 58181823 T^{10} + 85887453 T^{11} + 887503681 T^{12} \))(\( 1 - 3 T - 63 T^{2} + 62 T^{3} + 2535 T^{4} + 501 T^{5} - 90450 T^{6} + 15531 T^{7} + 2436135 T^{8} + 1847042 T^{9} - 58181823 T^{10} - 85887453 T^{11} + 887503681 T^{12} \))(\( 1 - 19 T^{2} - 600 T^{4} - 18259 T^{6} + 923521 T^{8} \))(\( 1 - 19 T^{2} - 600 T^{4} - 18259 T^{6} + 923521 T^{8} \))(\( ( 1 - T^{2} - 960 T^{4} - 961 T^{6} + 923521 T^{8} )^{2} \))(\( ( 1 + 84 T^{2} + 3427 T^{4} + 143388 T^{6} + 5465304 T^{8} + 137795868 T^{10} + 3164906467 T^{12} + 74550309204 T^{14} + 852891037441 T^{16} )^{2} \))(\( ( 1 - 10 T + 31 T^{2} )^{2}( 1 - 10 T + 69 T^{2} - 310 T^{3} + 961 T^{4} ) \))(\( ( 1 - 10 T + 31 T^{2} )^{2}( 1 - 10 T + 69 T^{2} - 310 T^{3} + 961 T^{4} ) \))(\( 1 - 4 T - 92 T^{2} + 1008 T^{3} + 1502 T^{4} - 68580 T^{5} + 270808 T^{6} + 1724724 T^{7} - 17946455 T^{8} + 19528132 T^{9} + 413026600 T^{10} - 1954928252 T^{11} - 1427100162 T^{12} + 30393015032 T^{13} - 45586379748 T^{14} - 34504405332 T^{15} - 431043300748 T^{16} - 1069636565292 T^{17} - 43808510937828 T^{18} + 905438310818312 T^{19} - 1317956968710402 T^{20} - 55967936120674052 T^{21} + 366562627850914600 T^{22} + 537269960024670652 T^{23} - 15306370623338221655 T^{24} + 45601050891441129804 T^{25} + \)\(22\!\cdots\!08\)\( T^{26} - \)\(17\!\cdots\!80\)\( T^{27} + \)\(11\!\cdots\!22\)\( T^{28} + \)\(24\!\cdots\!28\)\( T^{29} - \)\(69\!\cdots\!32\)\( T^{30} - \)\(93\!\cdots\!04\)\( T^{31} + \)\(72\!\cdots\!81\)\( T^{32} \))(\( 1 + 4 T - 92 T^{2} - 1008 T^{3} + 1502 T^{4} + 68580 T^{5} + 270808 T^{6} - 1724724 T^{7} - 17946455 T^{8} - 19528132 T^{9} + 413026600 T^{10} + 1954928252 T^{11} - 1427100162 T^{12} - 30393015032 T^{13} - 45586379748 T^{14} + 34504405332 T^{15} - 431043300748 T^{16} + 1069636565292 T^{17} - 43808510937828 T^{18} - 905438310818312 T^{19} - 1317956968710402 T^{20} + 55967936120674052 T^{21} + 366562627850914600 T^{22} - 537269960024670652 T^{23} - 15306370623338221655 T^{24} - 45601050891441129804 T^{25} + \)\(22\!\cdots\!08\)\( T^{26} + \)\(17\!\cdots\!80\)\( T^{27} + \)\(11\!\cdots\!22\)\( T^{28} - \)\(24\!\cdots\!28\)\( T^{29} - \)\(69\!\cdots\!32\)\( T^{30} + \)\(93\!\cdots\!04\)\( T^{31} + \)\(72\!\cdots\!81\)\( T^{32} \))
$37$ (\( 1 - 10 T + 37 T^{2} \))(\( 1 + 10 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( 1 - 10 T + 37 T^{2} \))(\( 1 + 10 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( ( 1 + 2 T + 37 T^{2} )^{2} \))(\( ( 1 + 2 T + 37 T^{2} )^{2} \))(\( ( 1 - 4 T + 40 T^{2} + 292 T^{3} - 866 T^{4} + 10804 T^{5} + 54760 T^{6} - 202612 T^{7} + 1874161 T^{8} )^{2} \))(\( ( 1 - 4 T + 40 T^{2} + 292 T^{3} - 866 T^{4} + 10804 T^{5} + 54760 T^{6} - 202612 T^{7} + 1874161 T^{8} )^{2} \))(\( 1 - 44 T^{2} + 2454 T^{4} - 60236 T^{6} + 1874161 T^{8} \))(\( 1 - 192 T^{2} + 18716 T^{4} - 1175872 T^{6} + 51538086 T^{8} - 1609768768 T^{10} + 35076797276 T^{12} - 492619470528 T^{14} + 3512479453921 T^{16} \))(\( ( 1 - 4 T + 70 T^{2} - 148 T^{3} + 1369 T^{4} )^{2} \))(\( ( 1 + 4 T + 37 T^{2} )^{4} \))(\( ( 1 + 4 T + 37 T^{2} )^{4} \))(\( ( 1 - 4 T + 70 T^{2} - 148 T^{3} + 1369 T^{4} )^{2} \))(\( ( 1 + 4 T + 38 T^{2} + 148 T^{3} + 1369 T^{4} )^{4} \))(\( ( 1 + 34 T^{2} + 1369 T^{4} )^{2} \))(\( ( 1 - 37 T^{2} )^{4} \))(\( ( 1 + 34 T^{2} + 1369 T^{4} )^{2} \))(\( ( 1 - 37 T^{2} )^{8} \))(\( ( 1 - 37 T^{2} )^{8} \))(\( ( 1 - 10 T^{2} + 1369 T^{4} )^{2} \))(\( 1 - 100 T^{2} + 4918 T^{4} - 136900 T^{6} + 1874161 T^{8} \))(\( 1 - 100 T^{2} + 4918 T^{4} - 136900 T^{6} + 1874161 T^{8} \))(\( ( 1 - 94 T^{2} + 3191 T^{4} - 75972 T^{6} + 4368479 T^{8} - 176171134 T^{10} + 2565726409 T^{12} )^{2} \))(\( ( 1 + 6 T^{2} + 1369 T^{4} )^{4} \))(\( ( 1 - 10 T^{2} + 1369 T^{4} )^{4} \))(\( ( 1 + 2 T + 37 T^{2} )^{8} \))(\( ( 1 + 6 T^{2} + 1369 T^{4} )^{4} \))(\( ( 1 - 232 T^{2} + 25148 T^{4} - 1670040 T^{6} + 74486502 T^{8} - 2286284760 T^{10} + 47131400828 T^{12} - 595248526888 T^{14} + 3512479453921 T^{16} )^{2} \))(\( 1 + 4 T - 21 T^{2} + 148 T^{3} + 1369 T^{4} \))(\( 1 + 8 T + 27 T^{2} + 296 T^{3} + 1369 T^{4} \))(\( 1 - 5 T - 12 T^{2} - 185 T^{3} + 1369 T^{4} \))(\( 1 - 9 T + 44 T^{2} - 333 T^{3} + 1369 T^{4} \))(\( 1 + 3 T - 28 T^{2} + 111 T^{3} + 1369 T^{4} \))(\( 1 + 4 T - 21 T^{2} + 148 T^{3} + 1369 T^{4} \))(\( 1 + 8 T + 27 T^{2} + 296 T^{3} + 1369 T^{4} \))(\( 1 - 9 T + 44 T^{2} - 333 T^{3} + 1369 T^{4} \))(\( 1 - 5 T - 12 T^{2} - 185 T^{3} + 1369 T^{4} \))(\( 1 + 3 T - 28 T^{2} + 111 T^{3} + 1369 T^{4} \))(\( 1 + 3 T - 18 T^{2} + 373 T^{3} + 168 T^{4} - 5829 T^{5} + 83328 T^{6} - 215673 T^{7} + 229992 T^{8} + 18893569 T^{9} - 33734898 T^{10} + 208031871 T^{11} + 2565726409 T^{12} \))(\( 1 + 3 T - 18 T^{2} + 373 T^{3} + 168 T^{4} - 5829 T^{5} + 83328 T^{6} - 215673 T^{7} + 229992 T^{8} + 18893569 T^{9} - 33734898 T^{10} + 208031871 T^{11} + 2565726409 T^{12} \))(\( ( 1 + 3 T - 28 T^{2} + 111 T^{3} + 1369 T^{4} )^{2} \))(\( ( 1 + 3 T - 28 T^{2} + 111 T^{3} + 1369 T^{4} )^{2} \))(\( ( 1 + 6 T - T^{2} + 222 T^{3} + 1369 T^{4} )^{4} \))(\( ( 1 - 4 T - 5 T^{2} + 212 T^{3} - 1520 T^{4} + 7844 T^{5} - 6845 T^{6} - 202612 T^{7} + 1874161 T^{8} )^{4} \))(\( ( 1 + 37 T^{2} + 1369 T^{4} )^{2} \))(\( ( 1 + 37 T^{2} + 1369 T^{4} )^{2} \))(\( 1 - 4 T - 158 T^{2} + 744 T^{3} + 12779 T^{4} - 73728 T^{5} - 645026 T^{6} + 5204196 T^{7} + 19119049 T^{8} - 286453064 T^{9} - 55617596 T^{10} + 12416572840 T^{11} - 31278446130 T^{12} - 387805803760 T^{13} + 2209401589944 T^{14} + 5693211840792 T^{15} - 96714100430062 T^{16} + 210648838109304 T^{17} + 3024670776633336 T^{18} - 19643527377855280 T^{19} - 58620843877446930 T^{20} + 861014293104327880 T^{21} - 142699534862292764 T^{22} - 27193527076019385512 T^{23} + 67155266791008841129 T^{24} + \)\(67\!\cdots\!92\)\( T^{25} - \)\(31\!\cdots\!74\)\( T^{26} - \)\(13\!\cdots\!64\)\( T^{27} + \)\(84\!\cdots\!99\)\( T^{28} + \)\(18\!\cdots\!68\)\( T^{29} - \)\(14\!\cdots\!62\)\( T^{30} - \)\(13\!\cdots\!72\)\( T^{31} + \)\(12\!\cdots\!41\)\( T^{32} \))(\( 1 - 4 T - 158 T^{2} + 744 T^{3} + 12779 T^{4} - 73728 T^{5} - 645026 T^{6} + 5204196 T^{7} + 19119049 T^{8} - 286453064 T^{9} - 55617596 T^{10} + 12416572840 T^{11} - 31278446130 T^{12} - 387805803760 T^{13} + 2209401589944 T^{14} + 5693211840792 T^{15} - 96714100430062 T^{16} + 210648838109304 T^{17} + 3024670776633336 T^{18} - 19643527377855280 T^{19} - 58620843877446930 T^{20} + 861014293104327880 T^{21} - 142699534862292764 T^{22} - 27193527076019385512 T^{23} + 67155266791008841129 T^{24} + \)\(67\!\cdots\!92\)\( T^{25} - \)\(31\!\cdots\!74\)\( T^{26} - \)\(13\!\cdots\!64\)\( T^{27} + \)\(84\!\cdots\!99\)\( T^{28} + \)\(18\!\cdots\!68\)\( T^{29} - \)\(14\!\cdots\!62\)\( T^{30} - \)\(13\!\cdots\!72\)\( T^{31} + \)\(12\!\cdots\!41\)\( T^{32} \))
$41$ (\( 1 + 4 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 - 8 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 + 4 T + 41 T^{2} \))(\( 1 + 2 T + 41 T^{2} \))(\( 1 - 8 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 - 16 T + 134 T^{2} - 656 T^{3} + 1681 T^{4} \))(\( 1 - 16 T + 134 T^{2} - 656 T^{3} + 1681 T^{4} \))(\( 1 - 204 T^{2} + 21176 T^{4} - 1439172 T^{6} + 69360622 T^{8} - 2419248132 T^{10} + 59838314936 T^{12} - 969021265164 T^{14} + 7984925229121 T^{16} \))(\( 1 - 204 T^{2} + 21176 T^{4} - 1439172 T^{6} + 69360622 T^{8} - 2419248132 T^{10} + 59838314936 T^{12} - 969021265164 T^{14} + 7984925229121 T^{16} \))(\( ( 1 + 2 T + 8 T^{2} + 82 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 + 2 T + 134 T^{2} + 214 T^{3} + 7618 T^{4} + 8774 T^{5} + 225254 T^{6} + 137842 T^{7} + 2825761 T^{8} )^{2} \))(\( ( 1 - 8 T + 41 T^{2} )^{2}( 1 + 8 T + 41 T^{2} )^{2} \))(\( ( 1 - 80 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 - 64 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 - 8 T + 41 T^{2} )^{2}( 1 + 8 T + 41 T^{2} )^{2} \))(\( ( 1 - 60 T^{2} + 1702 T^{4} - 100860 T^{6} + 2825761 T^{8} )^{2} \))(\( ( 1 + 76 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 + 41 T^{2} )^{4} \))(\( ( 1 + 76 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 - 38 T^{2} + 1681 T^{4} )^{4} \))(\( ( 1 + 41 T^{2} )^{8} \))(\( ( 1 - 74 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 - 12 T + 41 T^{2} )^{2}( 1 + 12 T + 41 T^{2} )^{2} \))(\( ( 1 - 12 T + 41 T^{2} )^{2}( 1 + 12 T + 41 T^{2} )^{2} \))(\( ( 1 - 86 T^{2} + 5647 T^{4} - 231764 T^{6} + 9492607 T^{8} - 243015446 T^{10} + 4750104241 T^{12} )^{2} \))(\( ( 1 + 124 T^{2} + 6934 T^{4} + 208444 T^{6} + 2825761 T^{8} )^{2} \))(\( ( 1 + 1262 T^{4} + 2825761 T^{8} )^{2} \))(\( ( 1 + 10 T^{2} + 1681 T^{4} )^{4} \))(\( ( 1 + 124 T^{2} + 6934 T^{4} + 208444 T^{6} + 2825761 T^{8} )^{2} \))(\( ( 1 - 120 T^{2} + 10204 T^{4} - 627512 T^{6} + 28679654 T^{8} - 1054847672 T^{10} + 28834065244 T^{12} - 570012508920 T^{14} + 7984925229121 T^{16} )^{2} \))(\( ( 1 + 4 T + 41 T^{2} )^{2} \))(\( ( 1 - 4 T + 41 T^{2} )^{2} \))(\( ( 1 - 2 T + 41 T^{2} )^{2} \))(\( ( 1 - 2 T + 41 T^{2} )^{2} \))(\( ( 1 + 6 T + 41 T^{2} )^{2} \))(\( ( 1 + 4 T + 41 T^{2} )^{2} \))(\( ( 1 - 4 T + 41 T^{2} )^{2} \))(\( ( 1 - 2 T + 41 T^{2} )^{2} \))(\( ( 1 - 2 T + 41 T^{2} )^{2} \))(\( ( 1 + 6 T + 41 T^{2} )^{2} \))(\( ( 1 + 6 T + 27 T^{2} - 20 T^{3} + 1107 T^{4} + 10086 T^{5} + 68921 T^{6} )^{2} \))(\( ( 1 + 6 T + 27 T^{2} - 20 T^{3} + 1107 T^{4} + 10086 T^{5} + 68921 T^{6} )^{2} \))(\( ( 1 + 8 T + 41 T^{2} )^{4} \))(\( ( 1 - 8 T + 41 T^{2} )^{4} \))(\( ( 1 - 30 T^{2} + 1681 T^{4} )^{4} \))(\( ( 1 + 41 T^{2} )^{16} \))(\( ( 1 + 41 T^{2} )^{4} \))(\( ( 1 + 41 T^{2} )^{4} \))(\( 1 - 336 T^{2} + 56632 T^{4} - 6304752 T^{6} + 518498076 T^{8} - 33643406160 T^{10} + 1813689475976 T^{12} - 85242291537264 T^{14} + 3637250979607238 T^{16} - 143292292074140784 T^{18} + 5125052987323417736 T^{20} - \)\(15\!\cdots\!60\)\( T^{22} + \)\(41\!\cdots\!96\)\( T^{24} - \)\(84\!\cdots\!52\)\( T^{26} + \)\(12\!\cdots\!92\)\( T^{28} - \)\(12\!\cdots\!96\)\( T^{30} + \)\(63\!\cdots\!41\)\( T^{32} \))(\( 1 - 336 T^{2} + 56632 T^{4} - 6304752 T^{6} + 518498076 T^{8} - 33643406160 T^{10} + 1813689475976 T^{12} - 85242291537264 T^{14} + 3637250979607238 T^{16} - 143292292074140784 T^{18} + 5125052987323417736 T^{20} - \)\(15\!\cdots\!60\)\( T^{22} + \)\(41\!\cdots\!96\)\( T^{24} - \)\(84\!\cdots\!52\)\( T^{26} + \)\(12\!\cdots\!92\)\( T^{28} - \)\(12\!\cdots\!96\)\( T^{30} + \)\(63\!\cdots\!41\)\( T^{32} \))
$43$ (\( 1 - 8 T + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( ( 1 - 8 T + 43 T^{2} )^{2} \))(\( ( 1 + 8 T + 43 T^{2} )^{2} \))(\( 1 - 192 T^{2} + 18396 T^{4} - 1162560 T^{6} + 55940774 T^{8} - 2149573440 T^{10} + 62892263196 T^{12} - 1213701705408 T^{14} + 11688200277601 T^{16} \))(\( 1 - 192 T^{2} + 18396 T^{4} - 1162560 T^{6} + 55940774 T^{8} - 2149573440 T^{10} + 62892263196 T^{12} - 1213701705408 T^{14} + 11688200277601 T^{16} \))(\( 1 - 116 T^{2} + 6294 T^{4} - 214484 T^{6} + 3418801 T^{8} \))(\( 1 - 168 T^{2} + 15676 T^{4} - 1026520 T^{6} + 50753126 T^{8} - 1898035480 T^{10} + 53593124476 T^{12} - 1061988992232 T^{14} + 11688200277601 T^{16} \))(\( 1 - 20 T^{2} + 2646 T^{4} - 36980 T^{6} + 3418801 T^{8} \))(\( ( 1 - 22 T^{2} + 1849 T^{4} )^{2} \))(\( ( 1 - 43 T^{2} )^{4} \))(\( 1 - 20 T^{2} + 2646 T^{4} - 36980 T^{6} + 3418801 T^{8} \))(\( ( 1 - 84 T^{2} + 4822 T^{4} - 155316 T^{6} + 3418801 T^{8} )^{2} \))(\( ( 1 - 74 T^{2} + 1849 T^{4} )^{2} \))(\( ( 1 - 43 T^{2} )^{4} \))(\( ( 1 - 74 T^{2} + 1849 T^{4} )^{2} \))(\( ( 1 - 26 T^{2} + 1849 T^{4} )^{4} \))(\( ( 1 - 43 T^{2} )^{8} \))(\( ( 1 - 10 T + 43 T^{2} )^{4} \))(\( ( 1 + 8 T + 82 T^{2} + 344 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 + 8 T + 82 T^{2} + 344 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 + 10 T + 129 T^{2} + 844 T^{3} + 5547 T^{4} + 18490 T^{5} + 79507 T^{6} )^{4} \))(\( ( 1 - 8 T + 43 T^{2} )^{8} \))(\( ( 1 + 43 T^{2} )^{8} \))(\( ( 1 + 6 T^{2} + 1849 T^{4} )^{4} \))(\( ( 1 + 8 T + 43 T^{2} )^{8} \))(\( ( 1 - 2 T + 120 T^{2} - 250 T^{3} + 6782 T^{4} - 10750 T^{5} + 221880 T^{6} - 159014 T^{7} + 3418801 T^{8} )^{4} \))(\( ( 1 + 2 T + 43 T^{2} )^{2} \))(\( ( 1 + 10 T + 43 T^{2} )^{2} \))(\( ( 1 - 7 T + 43 T^{2} )^{2} \))(\( ( 1 + T + 43 T^{2} )^{2} \))(\( ( 1 + 5 T + 43 T^{2} )^{2} \))(\( ( 1 - 2 T + 43 T^{2} )^{2} \))(\( ( 1 - 10 T + 43 T^{2} )^{2} \))(\( ( 1 - T + 43 T^{2} )^{2} \))(\( ( 1 + 7 T + 43 T^{2} )^{2} \))(\( ( 1 - 5 T + 43 T^{2} )^{2} \))(\( ( 1 - 15 T + 177 T^{2} - 1318 T^{3} + 7611 T^{4} - 27735 T^{5} + 79507 T^{6} )^{2} \))(\( ( 1 + 15 T + 177 T^{2} + 1318 T^{3} + 7611 T^{4} + 27735 T^{5} + 79507 T^{6} )^{2} \))(\( ( 1 + 43 T^{2} )^{4} \))(\( ( 1 + 43 T^{2} )^{4} \))(\( ( 1 + 43 T^{2} )^{8} \))(\( ( 1 + 87 T^{2} + 5576 T^{4} + 160863 T^{6} + 3418801 T^{8} )^{4} \))(\( ( 1 - 43 T^{2} )^{4} \))(\( ( 1 - 43 T^{2} )^{4} \))(\( 1 - 228 T^{2} + 31878 T^{4} - 3192264 T^{6} + 258267313 T^{8} - 17507868792 T^{10} + 1031738237334 T^{12} - 53260073427900 T^{14} + 2436766852473924 T^{16} - 98477875768187100 T^{18} + 3527307717535716534 T^{20} - \)\(11\!\cdots\!08\)\( T^{22} + \)\(30\!\cdots\!13\)\( T^{24} - \)\(68\!\cdots\!36\)\( T^{26} + \)\(12\!\cdots\!78\)\( T^{28} - \)\(16\!\cdots\!72\)\( T^{30} + \)\(13\!\cdots\!01\)\( T^{32} \))(\( 1 - 228 T^{2} + 31878 T^{4} - 3192264 T^{6} + 258267313 T^{8} - 17507868792 T^{10} + 1031738237334 T^{12} - 53260073427900 T^{14} + 2436766852473924 T^{16} - 98477875768187100 T^{18} + 3527307717535716534 T^{20} - \)\(11\!\cdots\!08\)\( T^{22} + \)\(30\!\cdots\!13\)\( T^{24} - \)\(68\!\cdots\!36\)\( T^{26} + \)\(12\!\cdots\!78\)\( T^{28} - \)\(16\!\cdots\!72\)\( T^{30} + \)\(13\!\cdots\!01\)\( T^{32} \))
$47$ (\( 1 - 4 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 4 T + 47 T^{2} \))(\( 1 - 8 T + 47 T^{2} \))(\( 1 + 4 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 - 4 T + 47 T^{2} \))(\( 1 + 8 T + 47 T^{2} \))(\( 1 + 8 T + 62 T^{2} + 376 T^{3} + 2209 T^{4} \))(\( 1 - 8 T + 62 T^{2} - 376 T^{3} + 2209 T^{4} \))(\( ( 1 + 8 T + 108 T^{2} + 872 T^{3} + 6758 T^{4} + 40984 T^{5} + 238572 T^{6} + 830584 T^{7} + 4879681 T^{8} )^{2} \))(\( ( 1 - 8 T + 108 T^{2} - 872 T^{3} + 6758 T^{4} - 40984 T^{5} + 238572 T^{6} - 830584 T^{7} + 4879681 T^{8} )^{2} \))(\( ( 1 + 47 T^{2} )^{4} \))(\( ( 1 + 44 T^{2} + 128 T^{3} + 3302 T^{4} + 6016 T^{5} + 97196 T^{6} + 4879681 T^{8} )^{2} \))(\( ( 1 - 8 T + 78 T^{2} - 376 T^{3} + 2209 T^{4} )^{2} \))(\( ( 1 + 86 T^{2} + 2209 T^{4} )^{2} \))(\( ( 1 + 86 T^{2} + 2209 T^{4} )^{2} \))(\( ( 1 + 8 T + 78 T^{2} + 376 T^{3} + 2209 T^{4} )^{2} \))(\( ( 1 + 14 T^{2} + 2209 T^{4} )^{4} \))(\( ( 1 + 70 T^{2} + 2209 T^{4} )^{2} \))(\( ( 1 + 47 T^{2} )^{4} \))(\( ( 1 + 70 T^{2} + 2209 T^{4} )^{2} \))(\( ( 1 - 26 T^{2} + 2209 T^{4} )^{4} \))(\( ( 1 + 47 T^{2} )^{8} \))(\( ( 1 + 47 T^{2} )^{4} \))(\( ( 1 + 4 T + 78 T^{2} + 188 T^{3} + 2209 T^{4} )^{2} \))(\( ( 1 - 4 T + 78 T^{2} - 188 T^{3} + 2209 T^{4} )^{2} \))(\( ( 1 + 58 T^{2} + 4591 T^{4} + 251884 T^{6} + 10141519 T^{8} + 283021498 T^{10} + 10779215329 T^{12} )^{2} \))(\( ( 1 + 132 T^{2} + 8502 T^{4} + 291588 T^{6} + 4879681 T^{8} )^{2} \))(\( ( 1 + 47 T^{2} )^{8} \))(\( ( 1 + 54 T^{2} + 2209 T^{4} )^{4} \))(\( ( 1 + 132 T^{2} + 8502 T^{4} + 291588 T^{6} + 4879681 T^{8} )^{2} \))(\( ( 1 + 120 T^{2} + 10396 T^{4} + 591944 T^{6} + 31424966 T^{8} + 1307604296 T^{10} + 50729163676 T^{12} + 1293505839480 T^{14} + 23811286661761 T^{16} )^{2} \))(\( 1 - 2 T - 43 T^{2} - 94 T^{3} + 2209 T^{4} \))(\( 1 - 6 T - 11 T^{2} - 282 T^{3} + 2209 T^{4} \))(\( 1 - 8 T + 17 T^{2} - 376 T^{3} + 2209 T^{4} \))(\( 1 - 8 T + 17 T^{2} - 376 T^{3} + 2209 T^{4} \))(\( 1 + 4 T - 31 T^{2} + 188 T^{3} + 2209 T^{4} \))(\( 1 + 2 T - 43 T^{2} + 94 T^{3} + 2209 T^{4} \))(\( 1 + 6 T - 11 T^{2} + 282 T^{3} + 2209 T^{4} \))(\( 1 + 8 T + 17 T^{2} + 376 T^{3} + 2209 T^{4} \))(\( 1 + 8 T + 17 T^{2} + 376 T^{3} + 2209 T^{4} \))(\( 1 - 4 T - 31 T^{2} - 188 T^{3} + 2209 T^{4} \))(\( 1 + 12 T - 9 T^{2} - 196 T^{3} + 4026 T^{4} + 9372 T^{5} - 178417 T^{6} + 440484 T^{7} + 8893434 T^{8} - 20349308 T^{9} - 43917129 T^{10} + 2752140084 T^{11} + 10779215329 T^{12} \))(\( 1 - 12 T - 9 T^{2} + 196 T^{3} + 4026 T^{4} - 9372 T^{5} - 178417 T^{6} - 440484 T^{7} + 8893434 T^{8} + 20349308 T^{9} - 43917129 T^{10} - 2752140084 T^{11} + 10779215329 T^{12} \))(\( 1 - 91 T^{2} + 6072 T^{4} - 201019 T^{6} + 4879681 T^{8} \))(\( 1 - 91 T^{2} + 6072 T^{4} - 201019 T^{6} + 4879681 T^{8} \))(\( ( 1 - 46 T^{2} - 93 T^{4} - 101614 T^{6} + 4879681 T^{8} )^{2} \))(\( ( 1 - 165 T^{2} + 16129 T^{4} - 1101870 T^{6} + 58101510 T^{8} - 2434030830 T^{10} + 78704374849 T^{12} - 1778570529285 T^{14} + 23811286661761 T^{16} )^{2} \))(\( ( 1 - 47 T^{2} + 2209 T^{4} )^{2} \))(\( ( 1 - 47 T^{2} + 2209 T^{4} )^{2} \))(\( 1 - 8 T - 144 T^{2} + 464 T^{3} + 17172 T^{4} + 11000 T^{5} - 1140704 T^{6} - 6276488 T^{7} + 46712874 T^{8} + 620504992 T^{9} - 149042736 T^{10} - 37377235304 T^{11} - 131884930992 T^{12} + 1479781798792 T^{13} + 11497201556624 T^{14} - 26133075365216 T^{15} - 645304022262061 T^{16} - 1228254542165152 T^{17} + 25397318238582416 T^{18} + 153635385695981816 T^{19} - 643556391947973552 T^{20} - 8572282292436527128 T^{21} - 1606563744567300144 T^{22} + \)\(31\!\cdots\!96\)\( T^{23} + \)\(11\!\cdots\!14\)\( T^{24} - \)\(70\!\cdots\!96\)\( T^{25} - \)\(60\!\cdots\!96\)\( T^{26} + \)\(27\!\cdots\!00\)\( T^{27} + \)\(19\!\cdots\!52\)\( T^{28} + \)\(25\!\cdots\!28\)\( T^{29} - \)\(36\!\cdots\!36\)\( T^{30} - \)\(96\!\cdots\!44\)\( T^{31} + \)\(56\!\cdots\!21\)\( T^{32} \))(\( 1 + 8 T - 144 T^{2} - 464 T^{3} + 17172 T^{4} - 11000 T^{5} - 1140704 T^{6} + 6276488 T^{7} + 46712874 T^{8} - 620504992 T^{9} - 149042736 T^{10} + 37377235304 T^{11} - 131884930992 T^{12} - 1479781798792 T^{13} + 11497201556624 T^{14} + 26133075365216 T^{15} - 645304022262061 T^{16} + 1228254542165152 T^{17} + 25397318238582416 T^{18} - 153635385695981816 T^{19} - 643556391947973552 T^{20} + 8572282292436527128 T^{21} - 1606563744567300144 T^{22} - \)\(31\!\cdots\!96\)\( T^{23} + \)\(11\!\cdots\!14\)\( T^{24} + \)\(70\!\cdots\!96\)\( T^{25} - \)\(60\!\cdots\!96\)\( T^{26} - \)\(27\!\cdots\!00\)\( T^{27} + \)\(19\!\cdots\!52\)\( T^{28} - \)\(25\!\cdots\!28\)\( T^{29} - \)\(36\!\cdots\!36\)\( T^{30} + \)\(96\!\cdots\!44\)\( T^{31} + \)\(56\!\cdots\!21\)\( T^{32} \))
$53$ (\( 1 - 10 T + 53 T^{2} \))(\( 1 + 10 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 - 10 T + 53 T^{2} \))(\( 1 + 10 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( ( 1 + 2 T + 53 T^{2} )^{2} \))(\( ( 1 + 2 T + 53 T^{2} )^{2} \))(\( ( 1 - 8 T + 132 T^{2} - 632 T^{3} + 7718 T^{4} - 33496 T^{5} + 370788 T^{6} - 1191016 T^{7} + 7890481 T^{8} )^{2} \))(\( ( 1 - 8 T + 132 T^{2} - 632 T^{3} + 7718 T^{4} - 33496 T^{5} + 370788 T^{6} - 1191016 T^{7} + 7890481 T^{8} )^{2} \))(\( ( 1 + 2 T^{2} + 2809 T^{4} )^{2} \))(\( 1 - 336 T^{2} + 52604 T^{4} - 5027376 T^{6} + 321653350 T^{8} - 14121899184 T^{10} + 415070862524 T^{12} - 7447225339344 T^{14} + 62259690411361 T^{16} \))(\( 1 + 52 T^{2} + 4246 T^{4} + 146068 T^{6} + 7890481 T^{8} \))(\( ( 1 - 74 T^{2} + 2809 T^{4} )^{2} \))(\( ( 1 - 74 T^{2} + 2809 T^{4} )^{2} \))(\( 1 + 52 T^{2} + 4246 T^{4} + 146068 T^{6} + 7890481 T^{8} \))(\( ( 1 - 108 T^{2} + 5974 T^{4} - 303372 T^{6} + 7890481 T^{8} )^{2} \))(\( ( 1 + 53 T^{2} )^{4} \))(\( ( 1 - 94 T^{2} + 2809 T^{4} )^{2} \))(\( ( 1 + 53 T^{2} )^{4} \))(\( ( 1 + 53 T^{2} )^{8} \))(\( ( 1 + 53 T^{2} )^{8} \))(\( ( 1 + 74 T^{2} + 2809 T^{4} )^{2} \))(\( ( 1 - 12 T + 122 T^{2} - 636 T^{3} + 2809 T^{4} )^{2} \))(\( ( 1 + 12 T + 122 T^{2} + 636 T^{3} + 2809 T^{4} )^{2} \))(\( ( 1 + 62 T^{2} + 6551 T^{4} + 242436 T^{6} + 18401759 T^{8} + 489209822 T^{10} + 22164361129 T^{12} )^{2} \))(\( ( 1 - 128 T^{2} + 8014 T^{4} - 359552 T^{6} + 7890481 T^{8} )^{2} \))(\( ( 1 - 53 T^{2} )^{8} \))(\( ( 1 + 74 T^{2} + 2809 T^{4} )^{4} \))(\( ( 1 - 128 T^{2} + 8014 T^{4} - 359552 T^{6} + 7890481 T^{8} )^{2} \))(\( ( 1 - 260 T^{2} + 33908 T^{4} - 2877468 T^{6} + 176791542 T^{8} - 8082807612 T^{10} + 267550429748 T^{12} - 5762733893540 T^{14} + 62259690411361 T^{16} )^{2} \))(\( 1 - 11 T + 68 T^{2} - 583 T^{3} + 2809 T^{4} \))(\( 1 - T - 52 T^{2} - 53 T^{3} + 2809 T^{4} \))(\( 1 - 2 T - 49 T^{2} - 106 T^{3} + 2809 T^{4} \))(\( 1 + 6 T - 17 T^{2} + 318 T^{3} + 2809 T^{4} \))(\( 1 - 6 T - 17 T^{2} - 318 T^{3} + 2809 T^{4} \))(\( 1 - 11 T + 68 T^{2} - 583 T^{3} + 2809 T^{4} \))(\( 1 - T - 52 T^{2} - 53 T^{3} + 2809 T^{4} \))(\( 1 + 6 T - 17 T^{2} + 318 T^{3} + 2809 T^{4} \))(\( 1 - 2 T - 49 T^{2} - 106 T^{3} + 2809 T^{4} \))(\( 1 - 6 T - 17 T^{2} - 318 T^{3} + 2809 T^{4} \))(\( 1 + 6 T - 42 T^{2} - 1136 T^{3} - 2862 T^{4} + 29802 T^{5} + 517382 T^{6} + 1579506 T^{7} - 8039358 T^{8} - 169124272 T^{9} - 331400202 T^{10} + 2509172958 T^{11} + 22164361129 T^{12} \))(\( 1 + 6 T - 42 T^{2} - 1136 T^{3} - 2862 T^{4} + 29802 T^{5} + 517382 T^{6} + 1579506 T^{7} - 8039358 T^{8} - 169124272 T^{9} - 331400202 T^{10} + 2509172958 T^{11} + 22164361129 T^{12} \))(\( ( 1 + 21 T + 200 T^{2} + 1113 T^{3} + 2809 T^{4} )^{2} \))(\( ( 1 - 21 T + 200 T^{2} - 1113 T^{3} + 2809 T^{4} )^{2} \))(\( ( 1 + 85 T^{2} + 4416 T^{4} + 238765 T^{6} + 7890481 T^{8} )^{2} \))(\( ( 1 + 173 T^{2} + 16957 T^{4} + 1272242 T^{6} + 76311742 T^{8} + 3573727778 T^{10} + 133798886317 T^{12} + 3834434475317 T^{14} + 62259690411361 T^{16} )^{2} \))(\( ( 1 - 6 T + 65 T^{2} - 318 T^{3} + 2809 T^{4} )( 1 - 94 T^{2} + 2809 T^{4} ) \))(\( ( 1 - 94 T^{2} + 2809 T^{4} )( 1 + 6 T + 65 T^{2} + 318 T^{3} + 2809 T^{4} ) \))(\( 1 - 8 T - 78 T^{2} + 1184 T^{3} - 2973 T^{4} - 20320 T^{5} + 566974 T^{6} - 5965256 T^{7} + 2148105 T^{8} + 493398784 T^{9} - 3412297068 T^{10} - 591604736 T^{11} + 160029842478 T^{12} - 1529452153232 T^{13} + 7166583780200 T^{14} + 53834495957056 T^{15} - 875021360553214 T^{16} + 2853228285723968 T^{17} + 20130933838581800 T^{18} - 227700248216720464 T^{19} + 1262712431505651918 T^{20} - 247406434232654848 T^{21} - 75631384494579869772 T^{22} + \)\(57\!\cdots\!08\)\( T^{23} + \)\(13\!\cdots\!05\)\( T^{24} - \)\(19\!\cdots\!48\)\( T^{25} + \)\(99\!\cdots\!26\)\( T^{26} - \)\(18\!\cdots\!40\)\( T^{27} - \)\(14\!\cdots\!93\)\( T^{28} + \)\(30\!\cdots\!32\)\( T^{29} - \)\(10\!\cdots\!82\)\( T^{30} - \)\(58\!\cdots\!56\)\( T^{31} + \)\(38\!\cdots\!21\)\( T^{32} \))(\( 1 - 8 T - 78 T^{2} + 1184 T^{3} - 2973 T^{4} - 20320 T^{5} + 566974 T^{6} - 5965256 T^{7} + 2148105 T^{8} + 493398784 T^{9} - 3412297068 T^{10} - 591604736 T^{11} + 160029842478 T^{12} - 1529452153232 T^{13} + 7166583780200 T^{14} + 53834495957056 T^{15} - 875021360553214 T^{16} + 2853228285723968 T^{17} + 20130933838581800 T^{18} - 227700248216720464 T^{19} + 1262712431505651918 T^{20} - 247406434232654848 T^{21} - 75631384494579869772 T^{22} + \)\(57\!\cdots\!08\)\( T^{23} + \)\(13\!\cdots\!05\)\( T^{24} - \)\(19\!\cdots\!48\)\( T^{25} + \)\(99\!\cdots\!26\)\( T^{26} - \)\(18\!\cdots\!40\)\( T^{27} - \)\(14\!\cdots\!93\)\( T^{28} + \)\(30\!\cdots\!32\)\( T^{29} - \)\(10\!\cdots\!82\)\( T^{30} - \)\(58\!\cdots\!56\)\( T^{31} + \)\(38\!\cdots\!21\)\( T^{32} \))
$59$ (\( 1 + 8 T + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 + 12 T + 59 T^{2} \))(\( 1 - 8 T + 59 T^{2} \))(\( 1 + 12 T + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( 1 - 16 T + 134 T^{2} - 944 T^{3} + 3481 T^{4} \))(\( 1 + 16 T + 134 T^{2} + 944 T^{3} + 3481 T^{4} \))(\( ( 1 + 8 T + 102 T^{2} + 472 T^{3} + 3481 T^{4} )^{4} \))(\( ( 1 - 8 T + 102 T^{2} - 472 T^{3} + 3481 T^{4} )^{4} \))(\( 1 - 12 T^{2} - 5290 T^{4} - 41772 T^{6} + 12117361 T^{8} \))(\( ( 1 - 102 T^{2} + 3481 T^{4} )^{4} \))(\( ( 1 - 4 T + 104 T^{2} - 236 T^{3} + 3481 T^{4} )^{2} \))(\( ( 1 - 10 T^{2} + 3481 T^{4} )^{2} \))(\( ( 1 - 10 T^{2} + 3481 T^{4} )^{2} \))(\( ( 1 + 4 T + 104 T^{2} + 236 T^{3} + 3481 T^{4} )^{2} \))(\( ( 1 + 116 T^{2} + 3481 T^{4} )^{4} \))(\( ( 1 - 86 T^{2} + 3481 T^{4} )^{2} \))(\( ( 1 - 10 T^{2} + 3481 T^{4} )^{2} \))(\( ( 1 - 86 T^{2} + 3481 T^{4} )^{2} \))(\( ( 1 - 20 T^{2} + 3481 T^{4} )^{4} \))(\( ( 1 - 1130 T^{4} + 12117361 T^{8} )^{2} \))(\( ( 1 - 46 T^{2} + 3481 T^{4} )^{2} \))(\( 1 - 224 T^{2} + 19486 T^{4} - 779744 T^{6} + 12117361 T^{8} \))(\( 1 - 224 T^{2} + 19486 T^{4} - 779744 T^{6} + 12117361 T^{8} \))(\( ( 1 - 226 T^{2} + 25867 T^{4} - 1888084 T^{6} + 90043027 T^{8} - 2738523586 T^{10} + 42180533641 T^{12} )^{2} \))(\( ( 1 + 78 T^{2} + 7650 T^{4} + 271518 T^{6} + 12117361 T^{8} )^{2} \))(\( ( 1 + 59 T^{2} )^{8} \))(\( ( 1 + 108 T^{2} + 3481 T^{4} )^{4} \))(\( ( 1 + 78 T^{2} + 7650 T^{4} + 271518 T^{6} + 12117361 T^{8} )^{2} \))(\( ( 1 - 264 T^{2} + 34076 T^{4} - 3023352 T^{6} + 203740198 T^{8} - 10524288312 T^{10} + 412911193436 T^{12} - 11135660881224 T^{14} + 146830437604321 T^{16} )^{2} \))(\( 1 + 7 T - 10 T^{2} + 413 T^{3} + 3481 T^{4} \))(\( 1 - 9 T + 22 T^{2} - 531 T^{3} + 3481 T^{4} \))(\( 1 + 10 T + 41 T^{2} + 590 T^{3} + 3481 T^{4} \))(\( 1 - 6 T - 23 T^{2} - 354 T^{3} + 3481 T^{4} \))(\( 1 + 6 T - 23 T^{2} + 354 T^{3} + 3481 T^{4} \))(\( 1 - 7 T - 10 T^{2} - 413 T^{3} + 3481 T^{4} \))(\( 1 + 9 T + 22 T^{2} + 531 T^{3} + 3481 T^{4} \))(\( 1 + 6 T - 23 T^{2} + 354 T^{3} + 3481 T^{4} \))(\( 1 - 10 T + 41 T^{2} - 590 T^{3} + 3481 T^{4} \))(\( 1 - 6 T - 23 T^{2} - 354 T^{3} + 3481 T^{4} \))(\( 1 + 12 T - 54 T^{2} - 292 T^{3} + 11514 T^{4} + 25536 T^{5} - 623986 T^{6} + 1506624 T^{7} + 40080234 T^{8} - 59970668 T^{9} - 654337494 T^{10} + 8579091588 T^{11} + 42180533641 T^{12} \))(\( 1 - 12 T - 54 T^{2} + 292 T^{3} + 11514 T^{4} - 25536 T^{5} - 623986 T^{6} - 1506624 T^{7} + 40080234 T^{8} + 59970668 T^{9} - 654337494 T^{10} - 8579091588 T^{11} + 42180533641 T^{12} \))(\( 1 - 43 T^{2} - 1632 T^{4} - 149683 T^{6} + 12117361 T^{8} \))(\( 1 - 43 T^{2} - 1632 T^{4} - 149683 T^{6} + 12117361 T^{8} \))(\( ( 1 + 29 T^{2} - 2640 T^{4} + 100949 T^{6} + 12117361 T^{8} )^{2} \))(\( ( 1 - 189 T^{2} + 20185 T^{4} - 1620486 T^{6} + 104905134 T^{8} - 5640911766 T^{10} + 244588931785 T^{12} - 7972120858149 T^{14} + 146830437604321 T^{16} )^{2} \))(\( ( 1 - 18 T + 167 T^{2} - 1062 T^{3} + 3481 T^{4} )( 1 - 10 T^{2} + 3481 T^{4} ) \))(\( ( 1 - 10 T^{2} + 3481 T^{4} )( 1 + 18 T + 167 T^{2} + 1062 T^{3} + 3481 T^{4} ) \))(\( 1 - 4 T - 278 T^{2} + 744 T^{3} + 39283 T^{4} - 56888 T^{5} - 3899258 T^{6} + 2731764 T^{7} + 316041561 T^{8} - 129333776 T^{9} - 23263019324 T^{10} + 6499521008 T^{11} + 1633005733406 T^{12} - 280959606200 T^{13} - 107397941612568 T^{14} + 6656498449920 T^{15} + 6551823717325442 T^{16} + 392733408545280 T^{17} - 373852234753349208 T^{18} - 57703202961749800 T^{19} + 19787719986750261566 T^{20} + 4646665500480173392 T^{21} - \)\(98\!\cdots\!84\)\( T^{22} - \)\(32\!\cdots\!44\)\( T^{23} + \)\(46\!\cdots\!81\)\( T^{24} + \)\(23\!\cdots\!96\)\( T^{25} - \)\(19\!\cdots\!58\)\( T^{26} - \)\(17\!\cdots\!92\)\( T^{27} + \)\(69\!\cdots\!23\)\( T^{28} + \)\(78\!\cdots\!76\)\( T^{29} - \)\(17\!\cdots\!58\)\( T^{30} - \)\(14\!\cdots\!96\)\( T^{31} + \)\(21\!\cdots\!41\)\( T^{32} \))(\( 1 + 4 T - 278 T^{2} - 744 T^{3} + 39283 T^{4} + 56888 T^{5} - 3899258 T^{6} - 2731764 T^{7} + 316041561 T^{8} + 129333776 T^{9} - 23263019324 T^{10} - 6499521008 T^{11} + 1633005733406 T^{12} + 280959606200 T^{13} - 107397941612568 T^{14} - 6656498449920 T^{15} + 6551823717325442 T^{16} - 392733408545280 T^{17} - 373852234753349208 T^{18} + 57703202961749800 T^{19} + 19787719986750261566 T^{20} - 4646665500480173392 T^{21} - \)\(98\!\cdots\!84\)\( T^{22} + \)\(32\!\cdots\!44\)\( T^{23} + \)\(46\!\cdots\!81\)\( T^{24} - \)\(23\!\cdots\!96\)\( T^{25} - \)\(19\!\cdots\!58\)\( T^{26} + \)\(17\!\cdots\!92\)\( T^{27} + \)\(69\!\cdots\!23\)\( T^{28} - \)\(78\!\cdots\!76\)\( T^{29} - \)\(17\!\cdots\!58\)\( T^{30} + \)\(14\!\cdots\!96\)\( T^{31} + \)\(21\!\cdots\!41\)\( T^{32} \))
$61$ (\( 1 + 6 T + 61 T^{2} \))(\( 1 - 10 T + 61 T^{2} \))(\( 1 + 14 T + 61 T^{2} \))(\( 1 - 10 T + 61 T^{2} \))(\( 1 + 6 T + 61 T^{2} \))(\( 1 - 10 T + 61 T^{2} \))(\( 1 + 14 T + 61 T^{2} \))(\( 1 - 10 T + 61 T^{2} \))(\( 1 + 4 T + 78 T^{2} + 244 T^{3} + 3721 T^{4} \))(\( 1 + 4 T + 78 T^{2} + 244 T^{3} + 3721 T^{4} \))(\( 1 - 184 T^{2} + 16284 T^{4} - 814280 T^{6} + 38728934 T^{8} - 3029935880 T^{10} + 225465674844 T^{12} - 9479748882424 T^{14} + 191707312997281 T^{16} \))(\( 1 - 184 T^{2} + 16284 T^{4} - 814280 T^{6} + 38728934 T^{8} - 3029935880 T^{10} + 225465674844 T^{12} - 9479748882424 T^{14} + 191707312997281 T^{16} \))(\( ( 1 - 14 T + 61 T^{2} )^{2}( 1 + 14 T + 61 T^{2} )^{2} \))(\( 1 - 272 T^{2} + 35516 T^{4} - 3030896 T^{6} + 201654822 T^{8} - 11277964016 T^{10} + 491748888956 T^{12} - 14013541826192 T^{14} + 191707312997281 T^{16} \))(\( ( 1 - 20 T + 204 T^{2} - 1220 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 + 2 T + 61 T^{2} )^{4} \))(\( ( 1 + 10 T + 61 T^{2} )^{4} \))(\( ( 1 - 20 T + 204 T^{2} - 1220 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 + 112 T^{2} + 3721 T^{4} )^{4} \))(\( ( 1 - 10 T + 61 T^{2} )^{4} \))(\( ( 1 + 61 T^{2} )^{4} \))(\( ( 1 + 10 T + 61 T^{2} )^{4} \))(\( ( 1 + 112 T^{2} + 3721 T^{4} )^{4} \))(\( ( 1 - 7370 T^{4} + 13845841 T^{8} )^{2} \))(\( ( 1 - 10 T + 61 T^{2} )^{2}( 1 + 10 T + 61 T^{2} )^{2} \))(\( 1 - 104 T^{2} + 5646 T^{4} - 386984 T^{6} + 13845841 T^{8} \))(\( 1 - 104 T^{2} + 5646 T^{4} - 386984 T^{6} + 13845841 T^{8} \))(\( ( 1 - 222 T^{2} + 25163 T^{4} - 1831724 T^{6} + 93631523 T^{8} - 3073776702 T^{10} + 51520374361 T^{12} )^{2} \))(\( ( 1 - 54 T^{2} + 7338 T^{4} - 200934 T^{6} + 13845841 T^{8} )^{2} \))(\( ( 1 - 61 T^{2} )^{8} \))(\( ( 1 - 112 T^{2} + 3721 T^{4} )^{4} \))(\( ( 1 - 54 T^{2} + 7338 T^{4} - 200934 T^{6} + 13845841 T^{8} )^{2} \))(\( ( 1 + 324 T^{2} + 46708 T^{4} + 4167580 T^{6} + 280236854 T^{8} + 15507565180 T^{10} + 646711541428 T^{12} + 16692601292964 T^{14} + 191707312997281 T^{16} )^{2} \))(\( 1 + 10 T + 39 T^{2} + 610 T^{3} + 3721 T^{4} \))(\( 1 - 2 T - 57 T^{2} - 122 T^{3} + 3721 T^{4} \))(\( 1 - 2 T - 57 T^{2} - 122 T^{3} + 3721 T^{4} \))(\( 1 - 2 T - 57 T^{2} - 122 T^{3} + 3721 T^{4} \))(\( 1 - 2 T - 57 T^{2} - 122 T^{3} + 3721 T^{4} \))(\( 1 + 10 T + 39 T^{2} + 610 T^{3} + 3721 T^{4} \))(\( 1 - 2 T - 57 T^{2} - 122 T^{3} + 3721 T^{4} \))(\( 1 - 2 T - 57 T^{2} - 122 T^{3} + 3721 T^{4} \))(\( 1 - 2 T - 57 T^{2} - 122 T^{3} + 3721 T^{4} \))(\( 1 - 2 T - 57 T^{2} - 122 T^{3} + 3721 T^{4} \))(\( 1 - 18 T + 129 T^{2} - 222 T^{3} - 3462 T^{4} + 40662 T^{5} - 368431 T^{6} + 2480382 T^{7} - 12882102 T^{8} - 50389782 T^{9} + 1786113489 T^{10} - 15202733418 T^{11} + 51520374361 T^{12} \))(\( 1 - 18 T + 129 T^{2} - 222 T^{3} - 3462 T^{4} + 40662 T^{5} - 368431 T^{6} + 2480382 T^{7} - 12882102 T^{8} - 50389782 T^{9} + 1786113489 T^{10} - 15202733418 T^{11} + 51520374361 T^{12} \))(\( ( 1 + 21 T + 208 T^{2} + 1281 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 + 21 T + 208 T^{2} + 1281 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 - 24 T + 253 T^{2} - 1464 T^{3} + 3721 T^{4} )^{4} \))(\( ( 1 + 21 T + 301 T^{2} + 3234 T^{3} + 28962 T^{4} + 197274 T^{5} + 1120021 T^{6} + 4766601 T^{7} + 13845841 T^{8} )^{4} \))(\( ( 1 - 61 T^{2} + 3721 T^{4} )^{2} \))(\( ( 1 - 61 T^{2} + 3721 T^{4} )^{2} \))(\( 1 - 24 T + 520 T^{2} - 7872 T^{3} + 105220 T^{4} - 1233096 T^{5} + 13416560 T^{6} - 139381944 T^{7} + 1398589418 T^{8} - 13649424720 T^{9} + 129262229752 T^{10} - 1182300753576 T^{11} + 10462356189200 T^{12} - 89714645688552 T^{13} + 745406748402104 T^{14} - 6054389325199248 T^{15} + 47735892633152755 T^{16} - 369317748837154128 T^{17} + 2773658510804228984 T^{18} - 20363519993033221512 T^{19} + \)\(14\!\cdots\!00\)\( T^{20} - \)\(99\!\cdots\!76\)\( T^{21} + \)\(66\!\cdots\!72\)\( T^{22} - \)\(42\!\cdots\!20\)\( T^{23} + \)\(26\!\cdots\!58\)\( T^{24} - \)\(16\!\cdots\!04\)\( T^{25} + \)\(95\!\cdots\!60\)\( T^{26} - \)\(53\!\cdots\!56\)\( T^{27} + \)\(27\!\cdots\!20\)\( T^{28} - \)\(12\!\cdots\!32\)\( T^{29} + \)\(51\!\cdots\!20\)\( T^{30} - \)\(14\!\cdots\!24\)\( T^{31} + \)\(36\!\cdots\!61\)\( T^{32} \))(\( 1 - 24 T + 520 T^{2} - 7872 T^{3} + 105220 T^{4} - 1233096 T^{5} + 13416560 T^{6} - 139381944 T^{7} + 1398589418 T^{8} - 13649424720 T^{9} + 129262229752 T^{10} - 1182300753576 T^{11} + 10462356189200 T^{12} - 89714645688552 T^{13} + 745406748402104 T^{14} - 6054389325199248 T^{15} + 47735892633152755 T^{16} - 369317748837154128 T^{17} + 2773658510804228984 T^{18} - 20363519993033221512 T^{19} + \)\(14\!\cdots\!00\)\( T^{20} - \)\(99\!\cdots\!76\)\( T^{21} + \)\(66\!\cdots\!72\)\( T^{22} - \)\(42\!\cdots\!20\)\( T^{23} + \)\(26\!\cdots\!58\)\( T^{24} - \)\(16\!\cdots\!04\)\( T^{25} + \)\(95\!\cdots\!60\)\( T^{26} - \)\(53\!\cdots\!56\)\( T^{27} + \)\(27\!\cdots\!20\)\( T^{28} - \)\(12\!\cdots\!32\)\( T^{29} + \)\(51\!\cdots\!20\)\( T^{30} - \)\(14\!\cdots\!24\)\( T^{31} + \)\(36\!\cdots\!61\)\( T^{32} \))
$67$ (\( 1 + 4 T + 67 T^{2} \))(\( 1 - 8 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 - 16 T + 67 T^{2} \))(\( 1 - 4 T + 67 T^{2} \))(\( 1 + 8 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 + 16 T + 67 T^{2} \))(\( 1 + 8 T + 102 T^{2} + 536 T^{3} + 4489 T^{4} \))(\( 1 - 8 T + 102 T^{2} - 536 T^{3} + 4489 T^{4} \))(\( 1 - 240 T^{2} + 37436 T^{4} - 3815056 T^{6} + 299829030 T^{8} - 17125786384 T^{10} + 754377365756 T^{12} - 21710011720560 T^{14} + 406067677556641 T^{16} \))(\( 1 - 240 T^{2} + 37436 T^{4} - 3815056 T^{6} + 299829030 T^{8} - 17125786384 T^{10} + 754377365756 T^{12} - 21710011720560 T^{14} + 406067677556641 T^{16} \))(\( ( 1 - 98 T^{2} + 4489 T^{4} )^{2} \))(\( 1 - 344 T^{2} + 59996 T^{4} - 6783272 T^{6} + 536949606 T^{8} - 30450108008 T^{10} + 1208986655516 T^{12} - 31117683466136 T^{14} + 406067677556641 T^{16} \))(\( 1 - 4 T^{2} + 6934 T^{4} - 17956 T^{6} + 20151121 T^{8} \))(\( ( 1 - 70 T^{2} + 4489 T^{4} )^{2} \))(\( ( 1 + 122 T^{2} + 4489 T^{4} )^{2} \))(\( 1 - 4 T^{2} + 6934 T^{4} - 17956 T^{6} + 20151121 T^{8} \))(\( ( 1 - 130 T^{2} + 4489 T^{4} )^{4} \))(\( ( 1 - 16 T + 67 T^{2} )^{2}( 1 + 16 T + 67 T^{2} )^{2} \))(\( ( 1 - 67 T^{2} )^{4} \))(\( ( 1 - 16 T + 67 T^{2} )^{2}( 1 + 16 T + 67 T^{2} )^{2} \))(\( ( 1 - 74 T^{2} + 4489 T^{4} )^{4} \))(\( ( 1 - 67 T^{2} )^{8} \))(\( ( 1 + 6 T + 67 T^{2} )^{4} \))(\( ( 1 - 4 T + 58 T^{2} - 268 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 - 4 T + 58 T^{2} - 268 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 - 10 T + 185 T^{2} - 1116 T^{3} + 12395 T^{4} - 44890 T^{5} + 300763 T^{6} )^{4} \))(\( ( 1 + 12 T + 102 T^{2} + 804 T^{3} + 4489 T^{4} )^{4} \))(\( ( 1 + 67 T^{2} )^{8} \))(\( ( 1 + 67 T^{2} )^{8} \))(\( ( 1 - 12 T + 102 T^{2} - 804 T^{3} + 4489 T^{4} )^{4} \))(\( ( 1 - 10 T + 208 T^{2} - 1122 T^{3} + 16622 T^{4} - 75174 T^{5} + 933712 T^{6} - 3007630 T^{7} + 20151121 T^{8} )^{4} \))(\( 1 + 10 T + 33 T^{2} + 670 T^{3} + 4489 T^{4} \))(\( 1 - 2 T - 63 T^{2} - 134 T^{3} + 4489 T^{4} \))(\( ( 1 - 16 T + 67 T^{2} )( 1 + 5 T + 67 T^{2} ) \))(\( ( 1 - 11 T + 67 T^{2} )( 1 + 16 T + 67 T^{2} ) \))(\( 1 - 7 T - 18 T^{2} - 469 T^{3} + 4489 T^{4} \))(\( 1 - 10 T + 33 T^{2} - 670 T^{3} + 4489 T^{4} \))(\( 1 + 2 T - 63 T^{2} + 134 T^{3} + 4489 T^{4} \))(\( ( 1 - 16 T + 67 T^{2} )( 1 + 11 T + 67 T^{2} ) \))(\( ( 1 - 5 T + 67 T^{2} )( 1 + 16 T + 67 T^{2} ) \))(\( 1 + 7 T - 18 T^{2} + 469 T^{3} + 4489 T^{4} \))(\( 1 + 9 T - 108 T^{2} - 383 T^{3} + 13680 T^{4} + 9405 T^{5} - 1069626 T^{6} + 630135 T^{7} + 61409520 T^{8} - 115192229 T^{9} - 2176321068 T^{10} + 12151125963 T^{11} + 90458382169 T^{12} \))(\( 1 - 9 T - 108 T^{2} + 383 T^{3} + 13680 T^{4} - 9405 T^{5} - 1069626 T^{6} - 630135 T^{7} + 61409520 T^{8} + 115192229 T^{9} - 2176321068 T^{10} - 12151125963 T^{11} + 90458382169 T^{12} \))(\( ( 1 - 109 T^{2} + 4489 T^{4} )( 1 + 122 T^{2} + 4489 T^{4} ) \))(\( ( 1 - 109 T^{2} + 4489 T^{4} )( 1 + 122 T^{2} + 4489 T^{4} ) \))(\( ( 1 - 50 T^{2} - 1989 T^{4} - 224450 T^{6} + 20151121 T^{8} )^{2} \))(\( ( 1 - 124 T^{2} + 7171 T^{4} + 95852 T^{6} - 21851960 T^{8} + 430279628 T^{10} + 144503688691 T^{12} - 11216839388956 T^{14} + 406067677556641 T^{16} )^{2} \))(\( ( 1 + 67 T^{2} + 4489 T^{4} )^{2} \))(\( ( 1 + 67 T^{2} + 4489 T^{4} )^{2} \))(\( 1 + 12 T + 354 T^{2} + 3672 T^{3} + 64867 T^{4} + 585624 T^{5} + 7670686 T^{6} + 62761668 T^{7} + 670299289 T^{8} + 5202844464 T^{9} + 49053747588 T^{10} + 389712261936 T^{11} + 3478800861854 T^{12} + 29196505227048 T^{13} + 254841620895224 T^{14} + 2150356193732448 T^{15} + 17864389643451906 T^{16} + 144073864980074016 T^{17} + 1143984036198660536 T^{18} + 8781228501602637624 T^{19} + 70101737102124238334 T^{20} + \)\(52\!\cdots\!52\)\( T^{21} + \)\(44\!\cdots\!72\)\( T^{22} + \)\(31\!\cdots\!72\)\( T^{23} + \)\(27\!\cdots\!49\)\( T^{24} + \)\(17\!\cdots\!96\)\( T^{25} + \)\(13\!\cdots\!14\)\( T^{26} + \)\(71\!\cdots\!92\)\( T^{27} + \)\(53\!\cdots\!87\)\( T^{28} + \)\(20\!\cdots\!64\)\( T^{29} + \)\(13\!\cdots\!66\)\( T^{30} + \)\(29\!\cdots\!16\)\( T^{31} + \)\(16\!\cdots\!81\)\( T^{32} \))(\( 1 - 12 T + 354 T^{2} - 3672 T^{3} + 64867 T^{4} - 585624 T^{5} + 7670686 T^{6} - 62761668 T^{7} + 670299289 T^{8} - 5202844464 T^{9} + 49053747588 T^{10} - 389712261936 T^{11} + 3478800861854 T^{12} - 29196505227048 T^{13} + 254841620895224 T^{14} - 2150356193732448 T^{15} + 17864389643451906 T^{16} - 144073864980074016 T^{17} + 1143984036198660536 T^{18} - 8781228501602637624 T^{19} + 70101737102124238334 T^{20} - \)\(52\!\cdots\!52\)\( T^{21} + \)\(44\!\cdots\!72\)\( T^{22} - \)\(31\!\cdots\!72\)\( T^{23} + \)\(27\!\cdots\!49\)\( T^{24} - \)\(17\!\cdots\!96\)\( T^{25} + \)\(13\!\cdots\!14\)\( T^{26} - \)\(71\!\cdots\!92\)\( T^{27} + \)\(53\!\cdots\!87\)\( T^{28} - \)\(20\!\cdots\!64\)\( T^{29} + \)\(13\!\cdots\!66\)\( T^{30} - \)\(29\!\cdots\!16\)\( T^{31} + \)\(16\!\cdots\!81\)\( T^{32} \))
$71$ (\( 1 + 14 T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( 1 + 2 T + 71 T^{2} \))(\( 1 + 8 T + 71 T^{2} \))(\( 1 - 14 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 - 2 T + 71 T^{2} \))(\( 1 - 8 T + 71 T^{2} \))(\( 1 + 12 T + 166 T^{2} + 852 T^{3} + 5041 T^{4} \))(\( 1 - 12 T + 166 T^{2} - 852 T^{3} + 5041 T^{4} \))(\( 1 - 484 T^{2} + 107912 T^{4} - 14382508 T^{6} + 1250123214 T^{8} - 72502222828 T^{10} + 2742225320072 T^{12} - 62000537417764 T^{14} + 645753531245761 T^{16} \))(\( 1 - 484 T^{2} + 107912 T^{4} - 14382508 T^{6} + 1250123214 T^{8} - 72502222828 T^{10} + 2742225320072 T^{12} - 62000537417764 T^{14} + 645753531245761 T^{16} \))(\( ( 1 + 18 T + 220 T^{2} + 1278 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 - 14 T + 194 T^{2} - 1686 T^{3} + 14330 T^{4} - 119706 T^{5} + 977954 T^{6} - 5010754 T^{7} + 25411681 T^{8} )^{2} \))(\( ( 1 - 12 T + 146 T^{2} - 852 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 - 20 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 + 124 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 + 12 T + 146 T^{2} + 852 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 + 180 T^{2} + 15622 T^{4} + 907380 T^{6} + 25411681 T^{8} )^{2} \))(\( ( 1 - 140 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 - 71 T^{2} )^{4} \))(\( ( 1 - 140 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 - 62 T^{2} + 5041 T^{4} )^{4} \))(\( ( 1 - 110 T^{2} + 5041 T^{4} )^{4} \))(\( ( 1 + 70 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 - 4 T + 66 T^{2} - 284 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 + 4 T + 66 T^{2} + 284 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 + 362 T^{2} + 58607 T^{4} + 5382060 T^{6} + 295437887 T^{8} + 9199028522 T^{10} + 128100283921 T^{12} )^{2} \))(\( ( 1 - 76 T^{2} + 1734 T^{4} - 383116 T^{6} + 25411681 T^{8} )^{2} \))(\( ( 1 - 22 T + 242 T^{2} - 1562 T^{3} + 5041 T^{4} )^{2}( 1 + 22 T + 242 T^{2} + 1562 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 - 78 T^{2} + 5041 T^{4} )^{4} \))(\( ( 1 - 76 T^{2} + 1734 T^{4} - 383116 T^{6} + 25411681 T^{8} )^{2} \))(\( ( 1 - 456 T^{2} + 94300 T^{4} - 11817416 T^{6} + 1002933542 T^{8} - 59571594056 T^{10} + 2396321518300 T^{12} - 58413729467976 T^{14} + 645753531245761 T^{16} )^{2} \))(\( ( 1 - 6 T + 71 T^{2} )^{2} \))(\( ( 1 + 6 T + 71 T^{2} )^{2} \))(\( ( 1 - 12 T + 71 T^{2} )^{2} \))(\( ( 1 + 4 T + 71 T^{2} )^{2} \))(\( ( 1 + 16 T + 71 T^{2} )^{2} \))(\( ( 1 + 6 T + 71 T^{2} )^{2} \))(\( ( 1 - 6 T + 71 T^{2} )^{2} \))(\( ( 1 - 4 T + 71 T^{2} )^{2} \))(\( ( 1 + 12 T + 71 T^{2} )^{2} \))(\( ( 1 - 16 T + 71 T^{2} )^{2} \))(\( ( 1 + 177 T^{2} - 32 T^{3} + 12567 T^{4} + 357911 T^{6} )^{2} \))(\( ( 1 + 177 T^{2} + 32 T^{3} + 12567 T^{4} + 357911 T^{6} )^{2} \))(\( ( 1 - 138 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 - 138 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 - 126 T^{2} + 5041 T^{4} )^{4} \))(\( ( 1 - 42 T^{2} + 5041 T^{4} )^{8} \))(\( ( 1 - 71 T^{2} )^{4} \))(\( ( 1 - 71 T^{2} )^{4} \))(\( 1 - 704 T^{2} + 240152 T^{4} - 53098944 T^{6} + 8598903516 T^{8} - 1093483638336 T^{10} + 114258843245224 T^{12} - 10109733274809664 T^{14} + 770931618303563846 T^{16} - 50963165438315516224 T^{18} + \)\(29\!\cdots\!44\)\( T^{20} - \)\(14\!\cdots\!56\)\( T^{22} + \)\(55\!\cdots\!76\)\( T^{24} - \)\(17\!\cdots\!44\)\( T^{26} + \)\(39\!\cdots\!32\)\( T^{28} - \)\(58\!\cdots\!24\)\( T^{30} + \)\(41\!\cdots\!21\)\( T^{32} \))(\( 1 - 704 T^{2} + 240152 T^{4} - 53098944 T^{6} + 8598903516 T^{8} - 1093483638336 T^{10} + 114258843245224 T^{12} - 10109733274809664 T^{14} + 770931618303563846 T^{16} - 50963165438315516224 T^{18} + \)\(29\!\cdots\!44\)\( T^{20} - \)\(14\!\cdots\!56\)\( T^{22} + \)\(55\!\cdots\!76\)\( T^{24} - \)\(17\!\cdots\!44\)\( T^{26} + \)\(39\!\cdots\!32\)\( T^{28} - \)\(58\!\cdots\!24\)\( T^{30} + \)\(41\!\cdots\!21\)\( T^{32} \))
$73$ (\( 1 - 6 T + 73 T^{2} \))(\( 1 - 2 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 + 6 T + 73 T^{2} \))(\( 1 - 6 T + 73 T^{2} \))(\( 1 - 2 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 + 6 T + 73 T^{2} \))(\( 1 - 12 T + 134 T^{2} - 876 T^{3} + 5329 T^{4} \))(\( 1 - 12 T + 134 T^{2} - 876 T^{3} + 5329 T^{4} \))(\( 1 - 408 T^{2} + 80380 T^{4} - 10037032 T^{6} + 869620166 T^{8} - 53487343528 T^{10} + 2282650611580 T^{12} - 61744364325912 T^{14} + 806460091894081 T^{16} \))(\( 1 - 408 T^{2} + 80380 T^{4} - 10037032 T^{6} + 869620166 T^{8} - 53487343528 T^{10} + 2282650611580 T^{12} - 61744364325912 T^{14} + 806460091894081 T^{16} \))(\( ( 1 - 24 T + 278 T^{2} - 1752 T^{3} + 5329 T^{4} )^{2} \))(\( ( 1 + 4 T + 92 T^{2} - 580 T^{3} + 166 T^{4} - 42340 T^{5} + 490268 T^{6} + 1556068 T^{7} + 28398241 T^{8} )^{2} \))(\( ( 1 + 12 T + 174 T^{2} + 876 T^{3} + 5329 T^{4} )^{2} \))(\( ( 1 - 14 T + 73 T^{2} )^{4} \))(\( ( 1 - 14 T + 73 T^{2} )^{4} \))(\( ( 1 + 12 T + 174 T^{2} + 876 T^{3} + 5329 T^{4} )^{2} \))(\( ( 1 + 4 T + 110 T^{2} + 292 T^{3} + 5329 T^{4} )^{4} \))(\( ( 1 - 73 T^{2} )^{4} \))(\( ( 1 - 14 T + 73 T^{2} )^{2}( 1 + 14 T + 73 T^{2} )^{2} \))(\( ( 1 - 73 T^{2} )^{4} \))(\( ( 1 + 70 T^{2} + 5329 T^{4} )^{4} \))(\( ( 1 - 73 T^{2} )^{8} \))(\( ( 1 - 10 T + 73 T^{2} )^{4} \))(\( ( 1 - 8 T + 142 T^{2} - 584 T^{3} + 5329 T^{4} )^{2} \))(\( ( 1 - 8 T + 142 T^{2} - 584 T^{3} + 5329 T^{4} )^{2} \))(\( ( 1 + 6 T + 73 T^{2} )^{12} \))(\( ( 1 - 73 T^{2} )^{8} \))(\( ( 1 - 73 T^{2} )^{8} \))(\( ( 1 + 14 T^{2} + 5329 T^{4} )^{4} \))(\( ( 1 - 73 T^{2} )^{8} \))(\( ( 1 - 328 T^{2} + 54492 T^{4} - 6043256 T^{6} + 500200454 T^{8} - 32204511224 T^{10} + 1547476948572 T^{12} - 49637626222792 T^{14} + 806460091894081 T^{16} )^{2} \))(\( 1 - 6 T - 37 T^{2} - 438 T^{3} + 5329 T^{4} \))(\( 1 + 2 T - 69 T^{2} + 146 T^{3} + 5329 T^{4} \))(\( 1 - 3 T - 64 T^{2} - 219 T^{3} + 5329 T^{4} \))(\( 1 - 11 T + 48 T^{2} - 803 T^{3} + 5329 T^{4} \))(\( 1 - 3 T - 64 T^{2} - 219 T^{3} + 5329 T^{4} \))(\( 1 - 6 T - 37 T^{2} - 438 T^{3} + 5329 T^{4} \))(\( 1 + 2 T - 69 T^{2} + 146 T^{3} + 5329 T^{4} \))(\( 1 - 11 T + 48 T^{2} - 803 T^{3} + 5329 T^{4} \))(\( 1 - 3 T - 64 T^{2} - 219 T^{3} + 5329 T^{4} \))(\( 1 - 3 T - 64 T^{2} - 219 T^{3} + 5329 T^{4} \))(\( 1 + 33 T + 534 T^{2} + 6687 T^{3} + 75648 T^{4} + 728637 T^{5} + 6291524 T^{6} + 53190501 T^{7} + 403128192 T^{8} + 2601356679 T^{9} + 15164660694 T^{10} + 68411362569 T^{11} + 151334226289 T^{12} \))(\( 1 + 33 T + 534 T^{2} + 6687 T^{3} + 75648 T^{4} + 728637 T^{5} + 6291524 T^{6} + 53190501 T^{7} + 403128192 T^{8} + 2601356679 T^{9} + 15164660694 T^{10} + 68411362569 T^{11} + 151334226289 T^{12} \))(\( ( 1 - 15 T + 148 T^{2} - 1095 T^{3} + 5329 T^{4} )^{2} \))(\( ( 1 - 15 T + 148 T^{2} - 1095 T^{3} + 5329 T^{4} )^{2} \))(\( ( 1 + 12 T + 121 T^{2} + 876 T^{3} + 5329 T^{4} )^{4} \))(\( ( 1 + 12 T + 187 T^{2} + 1668 T^{3} + 17496 T^{4} + 121764 T^{5} + 996523 T^{6} + 4668204 T^{7} + 28398241 T^{8} )^{4} \))(\( ( 1 - 14 T + 123 T^{2} - 1022 T^{3} + 5329 T^{4} )( 1 + 14 T + 123 T^{2} + 1022 T^{3} + 5329 T^{4} ) \))(\( ( 1 - 14 T + 123 T^{2} - 1022 T^{3} + 5329 T^{4} )( 1 + 14 T + 123 T^{2} + 1022 T^{3} + 5329 T^{4} ) \))(\( 1 - 12 T + 234 T^{2} - 2232 T^{3} + 22355 T^{4} - 173856 T^{5} + 989254 T^{6} - 11225076 T^{7} + 53667833 T^{8} - 1011835944 T^{9} + 5788877684 T^{10} - 73907745240 T^{11} + 590847685822 T^{12} - 5461132976544 T^{13} + 74257181172216 T^{14} - 566395732865256 T^{15} + 7250352758101906 T^{16} - 41346888499163688 T^{17} + 395716518466739064 T^{18} - 2124473567136217248 T^{19} + 16779034976265439102 T^{20} - \)\(15\!\cdots\!20\)\( T^{21} + \)\(87\!\cdots\!76\)\( T^{22} - \)\(11\!\cdots\!68\)\( T^{23} + \)\(43\!\cdots\!73\)\( T^{24} - \)\(66\!\cdots\!88\)\( T^{25} + \)\(42\!\cdots\!46\)\( T^{26} - \)\(54\!\cdots\!12\)\( T^{27} + \)\(51\!\cdots\!55\)\( T^{28} - \)\(37\!\cdots\!56\)\( T^{29} + \)\(28\!\cdots\!06\)\( T^{30} - \)\(10\!\cdots\!84\)\( T^{31} + \)\(65\!\cdots\!61\)\( T^{32} \))(\( 1 - 12 T + 234 T^{2} - 2232 T^{3} + 22355 T^{4} - 173856 T^{5} + 989254 T^{6} - 11225076 T^{7} + 53667833 T^{8} - 1011835944 T^{9} + 5788877684 T^{10} - 73907745240 T^{11} + 590847685822 T^{12} - 5461132976544 T^{13} + 74257181172216 T^{14} - 566395732865256 T^{15} + 7250352758101906 T^{16} - 41346888499163688 T^{17} + 395716518466739064 T^{18} - 2124473567136217248 T^{19} + 16779034976265439102 T^{20} - \)\(15\!\cdots\!20\)\( T^{21} + \)\(87\!\cdots\!76\)\( T^{22} - \)\(11\!\cdots\!68\)\( T^{23} + \)\(43\!\cdots\!73\)\( T^{24} - \)\(66\!\cdots\!88\)\( T^{25} + \)\(42\!\cdots\!46\)\( T^{26} - \)\(54\!\cdots\!12\)\( T^{27} + \)\(51\!\cdots\!55\)\( T^{28} - \)\(37\!\cdots\!56\)\( T^{29} + \)\(28\!\cdots\!06\)\( T^{30} - \)\(10\!\cdots\!84\)\( T^{31} + \)\(65\!\cdots\!61\)\( T^{32} \))
$79$ (\( 1 + 4 T + 79 T^{2} \))(\( 1 + 79 T^{2} \))(\( 1 - 4 T + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 - 4 T + 79 T^{2} \))(\( 1 + 79 T^{2} \))(\( 1 + 4 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 - 8 T + 126 T^{2} - 632 T^{3} + 6241 T^{4} \))(\( 1 + 8 T + 126 T^{2} + 632 T^{3} + 6241 T^{4} \))(\( 1 - 368 T^{2} + 73436 T^{4} - 9593744 T^{6} + 892827078 T^{8} - 59874556304 T^{10} + 2860338148316 T^{12} - 89456183631728 T^{14} + 1517108809906561 T^{16} \))(\( 1 - 368 T^{2} + 73436 T^{4} - 9593744 T^{6} + 892827078 T^{8} - 59874556304 T^{10} + 2860338148316 T^{12} - 89456183631728 T^{14} + 1517108809906561 T^{16} \))(\( ( 1 - 4 T + 54 T^{2} - 316 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 - 20 T + 340 T^{2} - 3972 T^{3} + 38678 T^{4} - 313788 T^{5} + 2121940 T^{6} - 9860780 T^{7} + 38950081 T^{8} )^{2} \))(\( ( 1 - 142 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 - 142 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 - 142 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 - 142 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 - 142 T^{2} + 6241 T^{4} )^{4} \))(\( ( 1 + 8 T + 79 T^{2} )^{4} \))(\( ( 1 + 10 T + 79 T^{2} )^{4} \))(\( ( 1 + 8 T + 79 T^{2} )^{4} \))(\( ( 1 - 10 T + 79 T^{2} )^{8} \))(\( ( 1 + 130 T^{2} + 6241 T^{4} )^{4} \))(\( ( 1 - 94 T^{2} + 6241 T^{4} )^{2} \))(\( 1 - 124 T^{2} + 11206 T^{4} - 773884 T^{6} + 38950081 T^{8} \))(\( 1 - 124 T^{2} + 11206 T^{4} - 773884 T^{6} + 38950081 T^{8} \))(\( ( 1 - 154 T^{2} + 18095 T^{4} - 1857324 T^{6} + 112930895 T^{8} - 5998312474 T^{10} + 243087455521 T^{12} )^{2} \))(\( ( 1 + 2 T + 142 T^{2} + 158 T^{3} + 6241 T^{4} )^{4} \))(\( ( 1 + 79 T^{2} )^{8} \))(\( ( 1 - 22 T^{2} + 6241 T^{4} )^{4} \))(\( ( 1 - 2 T + 142 T^{2} - 158 T^{3} + 6241 T^{4} )^{4} \))(\( ( 1 - 444 T^{2} + 95492 T^{4} - 12990660 T^{6} + 1221053302 T^{8} - 81074709060 T^{10} + 3719421134852 T^{12} - 107930830251324 T^{14} + 1517108809906561 T^{16} )^{2} \))(\( 1 + 11 T + 42 T^{2} + 869 T^{3} + 6241 T^{4} \))(\( 1 + 9 T + 2 T^{2} + 711 T^{3} + 6241 T^{4} \))(\( ( 1 + 4 T + 79 T^{2} )( 1 + 13 T + 79 T^{2} ) \))(\( 1 + 5 T - 54 T^{2} + 395 T^{3} + 6241 T^{4} \))(\( 1 - 11 T + 42 T^{2} - 869 T^{3} + 6241 T^{4} \))(\( 1 - 11 T + 42 T^{2} - 869 T^{3} + 6241 T^{4} \))(\( 1 - 9 T + 2 T^{2} - 711 T^{3} + 6241 T^{4} \))(\( 1 - 5 T - 54 T^{2} - 395 T^{3} + 6241 T^{4} \))(\( ( 1 - 13 T + 79 T^{2} )( 1 - 4 T + 79 T^{2} ) \))(\( 1 + 11 T + 42 T^{2} + 869 T^{3} + 6241 T^{4} \))(\( 1 - 27 T + 297 T^{2} - 2426 T^{3} + 27783 T^{4} - 321003 T^{5} + 3028254 T^{6} - 25359237 T^{7} + 173393703 T^{8} - 1196112614 T^{9} + 11568174057 T^{10} - 83080522773 T^{11} + 243087455521 T^{12} \))(\( 1 + 27 T + 297 T^{2} + 2426 T^{3} + 27783 T^{4} + 321003 T^{5} + 3028254 T^{6} + 25359237 T^{7} + 173393703 T^{8} + 1196112614 T^{9} + 11568174057 T^{10} + 83080522773 T^{11} + 243087455521 T^{12} \))(\( 1 - 155 T^{2} + 17784 T^{4} - 967355 T^{6} + 38950081 T^{8} \))(\( 1 - 155 T^{2} + 17784 T^{4} - 967355 T^{6} + 38950081 T^{8} \))(\( ( 1 - 137 T^{2} + 12528 T^{4} - 855017 T^{6} + 38950081 T^{8} )^{2} \))(\( ( 1 - 196 T^{2} + 16843 T^{4} - 1781836 T^{6} + 186689992 T^{8} - 11120438476 T^{10} + 656036214283 T^{12} - 47645141282116 T^{14} + 1517108809906561 T^{16} )^{2} \))(\( ( 1 + 10 T + 79 T^{2} )^{2}( 1 - 10 T + 21 T^{2} - 790 T^{3} + 6241 T^{4} ) \))(\( ( 1 + 10 T + 79 T^{2} )^{2}( 1 - 10 T + 21 T^{2} - 790 T^{3} + 6241 T^{4} ) \))(\( 1 - 12 T + 452 T^{2} - 4848 T^{3} + 99326 T^{4} - 752460 T^{5} + 12206616 T^{6} - 45128196 T^{7} + 802260297 T^{8} + 2552889420 T^{9} + 31280077608 T^{10} + 585579231756 T^{11} + 3876798962782 T^{12} + 22903847721096 T^{13} + 800190643393852 T^{14} - 1777305262761948 T^{15} + 87562114349854388 T^{16} - 140407115758193892 T^{17} + 4993989805421030332 T^{18} + 11292490176561450744 T^{19} + \)\(15\!\cdots\!42\)\( T^{20} + \)\(18\!\cdots\!44\)\( T^{21} + \)\(76\!\cdots\!68\)\( T^{22} + \)\(49\!\cdots\!80\)\( T^{23} + \)\(12\!\cdots\!17\)\( T^{24} - \)\(54\!\cdots\!24\)\( T^{25} + \)\(11\!\cdots\!16\)\( T^{26} - \)\(56\!\cdots\!40\)\( T^{27} + \)\(58\!\cdots\!66\)\( T^{28} - \)\(22\!\cdots\!72\)\( T^{29} + \)\(16\!\cdots\!12\)\( T^{30} - \)\(34\!\cdots\!88\)\( T^{31} + \)\(23\!\cdots\!21\)\( T^{32} \))(\( 1 + 12 T + 452 T^{2} + 4848 T^{3} + 99326 T^{4} + 752460 T^{5} + 12206616 T^{6} + 45128196 T^{7} + 802260297 T^{8} - 2552889420 T^{9} + 31280077608 T^{10} - 585579231756 T^{11} + 3876798962782 T^{12} - 22903847721096 T^{13} + 800190643393852 T^{14} + 1777305262761948 T^{15} + 87562114349854388 T^{16} + 140407115758193892 T^{17} + 4993989805421030332 T^{18} - 11292490176561450744 T^{19} + \)\(15\!\cdots\!42\)\( T^{20} - \)\(18\!\cdots\!44\)\( T^{21} + \)\(76\!\cdots\!68\)\( T^{22} - \)\(49\!\cdots\!80\)\( T^{23} + \)\(12\!\cdots\!17\)\( T^{24} + \)\(54\!\cdots\!24\)\( T^{25} + \)\(11\!\cdots\!16\)\( T^{26} + \)\(56\!\cdots\!40\)\( T^{27} + \)\(58\!\cdots\!66\)\( T^{28} + \)\(22\!\cdots\!72\)\( T^{29} + \)\(16\!\cdots\!12\)\( T^{30} + \)\(34\!\cdots\!88\)\( T^{31} + \)\(23\!\cdots\!21\)\( T^{32} \))
$83$ (\( 1 - 12 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( ( 1 - 4 T + 83 T^{2} )^{2} \))(\( ( 1 + 4 T + 83 T^{2} )^{2} \))(\( ( 1 + 8 T + 124 T^{2} + 1480 T^{3} + 7318 T^{4} + 122840 T^{5} + 854236 T^{6} + 4574296 T^{7} + 47458321 T^{8} )^{2} \))(\( ( 1 - 8 T + 124 T^{2} - 1480 T^{3} + 7318 T^{4} - 122840 T^{5} + 854236 T^{6} - 4574296 T^{7} + 47458321 T^{8} )^{2} \))(\( 1 - 300 T^{2} + 36086 T^{4} - 2066700 T^{6} + 47458321 T^{8} \))(\( 1 - 248 T^{2} + 44156 T^{4} - 5204488 T^{6} + 499369126 T^{8} - 35853717832 T^{10} + 2095569622076 T^{12} - 81081212595512 T^{14} + 2252292232139041 T^{16} \))(\( ( 1 + 20 T + 264 T^{2} + 1660 T^{3} + 6889 T^{4} )^{2} \))(\( ( 1 + 158 T^{2} + 6889 T^{4} )^{2} \))(\( ( 1 + 94 T^{2} + 6889 T^{4} )^{2} \))(\( ( 1 - 20 T + 264 T^{2} - 1660 T^{3} + 6889 T^{4} )^{2} \))(\( ( 1 + 168 T^{2} + 20194 T^{4} + 1157352 T^{6} + 47458321 T^{8} )^{2} \))(\( ( 1 - 38 T^{2} + 6889 T^{4} )^{2} \))(\( ( 1 + 134 T^{2} + 6889 T^{4} )^{2} \))(\( ( 1 - 38 T^{2} + 6889 T^{4} )^{2} \))(\( ( 1 - 116 T^{2} + 6889 T^{4} )^{4} \))(\( ( 1 - 13130 T^{4} + 47458321 T^{8} )^{2} \))(\( ( 1 - 18 T + 83 T^{2} )^{2}( 1 + 18 T + 83 T^{2} )^{2} \))(\( 1 - 80 T^{2} + 12958 T^{4} - 551120 T^{6} + 47458321 T^{8} \))(\( 1 - 80 T^{2} + 12958 T^{4} - 551120 T^{6} + 47458321 T^{8} \))(\( ( 1 - 162 T^{2} + 19931 T^{4} - 2214676 T^{6} + 137304659 T^{8} - 7688248002 T^{10} + 326940373369 T^{12} )^{2} \))(\( ( 1 - 2 T^{2} - 2558 T^{4} - 13778 T^{6} + 47458321 T^{8} )^{2} \))(\( ( 1 + 83 T^{2} )^{8} \))(\( ( 1 + 156 T^{2} + 6889 T^{4} )^{4} \))(\( ( 1 - 2 T^{2} - 2558 T^{4} - 13778 T^{6} + 47458321 T^{8} )^{2} \))(\( ( 1 - 120 T^{2} + 20284 T^{4} - 1531784 T^{6} + 164981030 T^{8} - 10552459976 T^{10} + 962644583164 T^{12} - 39232844804280 T^{14} + 2252292232139041 T^{16} )^{2} \))(\( ( 1 - 11 T + 83 T^{2} )^{2} \))(\( ( 1 - 3 T + 83 T^{2} )^{2} \))(\( ( 1 + 16 T + 83 T^{2} )^{2} \))(\( ( 1 + 83 T^{2} )^{2} \))(\( ( 1 + 12 T + 83 T^{2} )^{2} \))(\( ( 1 + 11 T + 83 T^{2} )^{2} \))(\( ( 1 + 3 T + 83 T^{2} )^{2} \))(\( ( 1 + 83 T^{2} )^{2} \))(\( ( 1 - 16 T + 83 T^{2} )^{2} \))(\( ( 1 - 12 T + 83 T^{2} )^{2} \))(\( ( 1 - 18 T + 234 T^{2} - 2040 T^{3} + 19422 T^{4} - 124002 T^{5} + 571787 T^{6} )^{2} \))(\( ( 1 + 18 T + 234 T^{2} + 2040 T^{3} + 19422 T^{4} + 124002 T^{5} + 571787 T^{6} )^{2} \))(\( ( 1 - 26 T^{2} + 6889 T^{4} )^{2} \))(\( ( 1 - 26 T^{2} + 6889 T^{4} )^{2} \))(\( ( 1 + 163 T^{2} + 6889 T^{4} )^{4} \))(\( ( 1 + 288 T^{2} + 34286 T^{4} + 1984032 T^{6} + 47458321 T^{8} )^{4} \))(\( ( 1 - 30 T + 383 T^{2} - 2490 T^{3} + 6889 T^{4} )( 1 + 30 T + 383 T^{2} + 2490 T^{3} + 6889 T^{4} ) \))(\( ( 1 - 30 T + 383 T^{2} - 2490 T^{3} + 6889 T^{4} )( 1 + 30 T + 383 T^{2} + 2490 T^{3} + 6889 T^{4} ) \))(\( ( 1 - 4 T + 510 T^{2} - 1368 T^{3} + 119761 T^{4} - 213952 T^{5} + 17308534 T^{6} - 21965340 T^{7} + 1711141540 T^{8} - 1823123220 T^{9} + 119238490726 T^{10} - 122334972224 T^{11} + 5683655981281 T^{12} - 5388607599624 T^{13} + 166739590418190 T^{14} - 108544203958508 T^{15} + 2252292232139041 T^{16} )^{2} \))(\( ( 1 + 4 T + 510 T^{2} + 1368 T^{3} + 119761 T^{4} + 213952 T^{5} + 17308534 T^{6} + 21965340 T^{7} + 1711141540 T^{8} + 1823123220 T^{9} + 119238490726 T^{10} + 122334972224 T^{11} + 5683655981281 T^{12} + 5388607599624 T^{13} + 166739590418190 T^{14} + 108544203958508 T^{15} + 2252292232139041 T^{16} )^{2} \))
$89$ (\( 1 - 4 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 + 89 T^{2} \))(\( 1 + 14 T + 89 T^{2} \))(\( 1 - 4 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 + 89 T^{2} \))(\( 1 + 14 T + 89 T^{2} \))(\( 1 + 166 T^{2} + 7921 T^{4} \))(\( 1 + 166 T^{2} + 7921 T^{4} \))(\( 1 + 52 T^{2} - 328 T^{4} + 280764 T^{6} + 120770670 T^{8} + 2223931644 T^{10} - 20579455048 T^{12} + 25843027129972 T^{14} + 3936588805702081 T^{16} \))(\( 1 + 52 T^{2} - 328 T^{4} + 280764 T^{6} + 120770670 T^{8} + 2223931644 T^{10} - 20579455048 T^{12} + 25843027129972 T^{14} + 3936588805702081 T^{16} \))(\( ( 1 - 10 T + 200 T^{2} - 890 T^{3} + 7921 T^{4} )^{2} \))(\( ( 1 - 10 T + 198 T^{2} - 494 T^{3} + 13122 T^{4} - 43966 T^{5} + 1568358 T^{6} - 7049690 T^{7} + 62742241 T^{8} )^{2} \))(\( 1 - 284 T^{2} + 35494 T^{4} - 2249564 T^{6} + 62742241 T^{8} \))(\( ( 1 - 80 T^{2} + 7921 T^{4} )^{2} \))(\( ( 1 - 128 T^{2} + 7921 T^{4} )^{2} \))(\( 1 - 284 T^{2} + 35494 T^{4} - 2249564 T^{6} + 62742241 T^{8} \))(\( ( 1 - 252 T^{2} + 29158 T^{4} - 1996092 T^{6} + 62742241 T^{8} )^{2} \))(\( ( 1 + 124 T^{2} + 7921 T^{4} )^{2} \))(\( ( 1 + 89 T^{2} )^{4} \))(\( ( 1 + 124 T^{2} + 7921 T^{4} )^{2} \))(\( ( 1 + 89 T^{2} )^{8} \))(\( ( 1 + 89 T^{2} )^{8} \))(\( ( 1 - 170 T^{2} + 7921 T^{4} )^{2} \))(\( ( 1 - 142 T^{2} + 7921 T^{4} )^{2} \))(\( ( 1 - 142 T^{2} + 7921 T^{4} )^{2} \))(\( ( 1 - 278 T^{2} + 40879 T^{4} - 4202324 T^{6} + 323802559 T^{8} - 17442342998 T^{10} + 496981290961 T^{12} )^{2} \))(\( ( 1 + 244 T^{2} + 29638 T^{4} + 1932724 T^{6} + 62742241 T^{8} )^{2} \))(\( ( 1 + 13742 T^{4} + 62742241 T^{8} )^{2} \))(\( ( 1 + 50 T^{2} + 7921 T^{4} )^{4} \))(\( ( 1 + 244 T^{2} + 29638 T^{4} + 1932724 T^{6} + 62742241 T^{8} )^{2} \))(\( ( 1 - 312 T^{2} + 51484 T^{4} - 5696504 T^{6} + 530357222 T^{8} - 45122008184 T^{10} + 3230221535644 T^{12} - 155058162779832 T^{14} + 3936588805702081 T^{16} )^{2} \))(\( 1 + 6 T - 53 T^{2} + 534 T^{3} + 7921 T^{4} \))(\( 1 - 6 T - 53 T^{2} - 534 T^{3} + 7921 T^{4} \))(\( 1 + 12 T + 55 T^{2} + 1068 T^{3} + 7921 T^{4} \))(\( 1 + 12 T + 55 T^{2} + 1068 T^{3} + 7921 T^{4} \))(\( 1 + 4 T - 73 T^{2} + 356 T^{3} + 7921 T^{4} \))(\( 1 + 6 T - 53 T^{2} + 534 T^{3} + 7921 T^{4} \))(\( 1 - 6 T - 53 T^{2} - 534 T^{3} + 7921 T^{4} \))(\( 1 + 12 T + 55 T^{2} + 1068 T^{3} + 7921 T^{4} \))(\( 1 + 12 T + 55 T^{2} + 1068 T^{3} + 7921 T^{4} \))(\( 1 + 4 T - 73 T^{2} + 356 T^{3} + 7921 T^{4} \))(\( 1 - 12 T - 135 T^{2} + 700 T^{3} + 28722 T^{4} - 63804 T^{5} - 2561959 T^{6} - 5678556 T^{7} + 227506962 T^{8} + 493478300 T^{9} - 8470202535 T^{10} - 67008713388 T^{11} + 496981290961 T^{12} \))(\( 1 - 12 T - 135 T^{2} + 700 T^{3} + 28722 T^{4} - 63804 T^{5} - 2561959 T^{6} - 5678556 T^{7} + 227506962 T^{8} + 493478300 T^{9} - 8470202535 T^{10} - 67008713388 T^{11} + 496981290961 T^{12} \))(\( ( 1 - 13 T + 80 T^{2} - 1157 T^{3} + 7921 T^{4} )^{2} \))(\( ( 1 + 13 T + 80 T^{2} + 1157 T^{3} + 7921 T^{4} )^{2} \))(\( ( 1 - 150 T^{2} + 14579 T^{4} - 1188150 T^{6} + 62742241 T^{8} )^{2} \))(\( ( 1 - 91 T^{2} + 757 T^{4} + 756938 T^{6} - 71725466 T^{8} + 5995705898 T^{10} + 47495876437 T^{12} - 45225297477451 T^{14} + 3936588805702081 T^{16} )^{2} \))(\( ( 1 - 89 T^{2} + 7921 T^{4} )^{2} \))(\( ( 1 - 89 T^{2} + 7921 T^{4} )^{2} \))(\( 1 + 272 T^{2} + 26468 T^{4} + 139584 T^{5} + 983008 T^{6} + 40361088 T^{7} + 36104074 T^{8} + 4345742592 T^{9} + 15915680112 T^{10} + 231982822464 T^{11} + 3174421757584 T^{12} + 14601730770624 T^{13} + 335852371900656 T^{14} + 1870227047990784 T^{15} + 28375693200769107 T^{16} + 166450207271179776 T^{17} + 2660286637825096176 T^{18} + 10293767539636030656 T^{19} + \)\(19\!\cdots\!44\)\( T^{20} + \)\(12\!\cdots\!36\)\( T^{21} + \)\(79\!\cdots\!32\)\( T^{22} + \)\(19\!\cdots\!68\)\( T^{23} + \)\(14\!\cdots\!94\)\( T^{24} + \)\(14\!\cdots\!92\)\( T^{25} + \)\(30\!\cdots\!08\)\( T^{26} + \)\(38\!\cdots\!76\)\( T^{27} + \)\(65\!\cdots\!28\)\( T^{28} + \)\(53\!\cdots\!52\)\( T^{30} + \)\(15\!\cdots\!61\)\( T^{32} \))(\( 1 + 272 T^{2} + 26468 T^{4} + 139584 T^{5} + 983008 T^{6} + 40361088 T^{7} + 36104074 T^{8} + 4345742592 T^{9} + 15915680112 T^{10} + 231982822464 T^{11} + 3174421757584 T^{12} + 14601730770624 T^{13} + 335852371900656 T^{14} + 1870227047990784 T^{15} + 28375693200769107 T^{16} + 166450207271179776 T^{17} + 2660286637825096176 T^{18} + 10293767539636030656 T^{19} + \)\(19\!\cdots\!44\)\( T^{20} + \)\(12\!\cdots\!36\)\( T^{21} + \)\(79\!\cdots\!32\)\( T^{22} + \)\(19\!\cdots\!68\)\( T^{23} + \)\(14\!\cdots\!94\)\( T^{24} + \)\(14\!\cdots\!92\)\( T^{25} + \)\(30\!\cdots\!08\)\( T^{26} + \)\(38\!\cdots\!76\)\( T^{27} + \)\(65\!\cdots\!28\)\( T^{28} + \)\(53\!\cdots\!52\)\( T^{30} + \)\(15\!\cdots\!61\)\( T^{32} \))
$97$ (\( 1 + 2 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 - 6 T + 97 T^{2} \))(\( 1 + 6 T + 97 T^{2} \))(\( 1 + 2 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 - 6 T + 97 T^{2} \))(\( 1 + 6 T + 97 T^{2} \))(\( 1 + 4 T + 150 T^{2} + 388 T^{3} + 9409 T^{4} \))(\( 1 + 4 T + 150 T^{2} + 388 T^{3} + 9409 T^{4} \))(\( 1 - 344 T^{2} + 58172 T^{4} - 6404840 T^{6} + 615495942 T^{8} - 60263139560 T^{10} + 5149925334332 T^{12} - 286542369695576 T^{14} + 7837433594376961 T^{16} \))(\( 1 - 344 T^{2} + 58172 T^{4} - 6404840 T^{6} + 615495942 T^{8} - 60263139560 T^{10} + 5149925334332 T^{12} - 286542369695576 T^{14} + 7837433594376961 T^{16} \))(\( ( 1 + 16 T + 246 T^{2} + 1552 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 - 20 T + 300 T^{2} - 2572 T^{3} + 25574 T^{4} - 249484 T^{5} + 2822700 T^{6} - 18253460 T^{7} + 88529281 T^{8} )^{2} \))(\( ( 1 + 12 T + 102 T^{2} + 1164 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 + 10 T + 97 T^{2} )^{4} \))(\( ( 1 - 6 T + 97 T^{2} )^{4} \))(\( ( 1 + 12 T + 102 T^{2} + 1164 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 - 4 T + 38 T^{2} - 388 T^{3} + 9409 T^{4} )^{4} \))(\( ( 1 - 14 T + 97 T^{2} )^{2}( 1 + 14 T + 97 T^{2} )^{2} \))(\( ( 1 - 2 T + 97 T^{2} )^{2}( 1 + 2 T + 97 T^{2} )^{2} \))(\( ( 1 - 14 T + 97 T^{2} )^{2}( 1 + 14 T + 97 T^{2} )^{2} \))(\( ( 1 - 170 T^{2} + 9409 T^{4} )^{4} \))(\( ( 1 - 97 T^{2} )^{8} \))(\( ( 1 + 2 T + 97 T^{2} )^{4} \))(\( ( 1 - 16 T + 238 T^{2} - 1552 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 - 16 T + 238 T^{2} - 1552 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 + 14 T + 159 T^{2} + 1124 T^{3} + 15423 T^{4} + 131726 T^{5} + 912673 T^{6} )^{4} \))(\( ( 1 - 140 T^{2} + 10390 T^{4} - 1317260 T^{6} + 88529281 T^{8} )^{2} \))(\( ( 1 - 97 T^{2} )^{8} \))(\( ( 1 + 166 T^{2} + 9409 T^{4} )^{4} \))(\( ( 1 - 140 T^{2} + 10390 T^{4} - 1317260 T^{6} + 88529281 T^{8} )^{2} \))(\( ( 1 - 232 T^{2} + 17244 T^{4} + 409768 T^{6} - 157308730 T^{8} + 3855507112 T^{10} + 1526598921564 T^{12} - 193249505143528 T^{14} + 7837433594376961 T^{16} )^{2} \))(\( ( 1 - 7 T + 97 T^{2} )^{2} \))(\( ( 1 + T + 97 T^{2} )^{2} \))(\( ( 1 + 14 T + 97 T^{2} )^{2} \))(\( ( 1 - 18 T + 97 T^{2} )^{2} \))(\( ( 1 + 6 T + 97 T^{2} )^{2} \))(\( ( 1 - 7 T + 97 T^{2} )^{2} \))(\( ( 1 + T + 97 T^{2} )^{2} \))(\( ( 1 - 18 T + 97 T^{2} )^{2} \))(\( ( 1 + 14 T + 97 T^{2} )^{2} \))(\( ( 1 + 6 T + 97 T^{2} )^{2} \))(\( ( 1 + 264 T^{2} + 38 T^{3} + 25608 T^{4} + 912673 T^{6} )^{2} \))(\( ( 1 + 264 T^{2} + 38 T^{3} + 25608 T^{4} + 912673 T^{6} )^{2} \))(\( ( 1 - 182 T^{2} + 9409 T^{4} )^{2} \))(\( ( 1 - 182 T^{2} + 9409 T^{4} )^{2} \))(\( ( 1 - 119 T^{2} + 9409 T^{4} )^{4} \))(\( ( 1 - 40 T^{2} + 17166 T^{4} - 376360 T^{6} + 88529281 T^{8} )^{4} \))(\( ( 1 - 2 T - 93 T^{2} - 194 T^{3} + 9409 T^{4} )( 1 + 2 T - 93 T^{2} + 194 T^{3} + 9409 T^{4} ) \))(\( ( 1 - 2 T - 93 T^{2} - 194 T^{3} + 9409 T^{4} )( 1 + 2 T - 93 T^{2} + 194 T^{3} + 9409 T^{4} ) \))(\( 1 - 1060 T^{2} + 554918 T^{4} - 190432200 T^{6} + 47922422193 T^{8} - 9371042858136 T^{10} + 1472049420153334 T^{12} - 189391291052283068 T^{14} + 20162972419702510820 T^{16} - \)\(17\!\cdots\!12\)\( T^{18} + \)\(13\!\cdots\!54\)\( T^{20} - \)\(78\!\cdots\!44\)\( T^{22} + \)\(37\!\cdots\!73\)\( T^{24} - \)\(14\!\cdots\!00\)\( T^{26} + \)\(38\!\cdots\!38\)\( T^{28} - \)\(69\!\cdots\!40\)\( T^{30} + \)\(61\!\cdots\!21\)\( T^{32} \))(\( 1 - 1060 T^{2} + 554918 T^{4} - 190432200 T^{6} + 47922422193 T^{8} - 9371042858136 T^{10} + 1472049420153334 T^{12} - 189391291052283068 T^{14} + 20162972419702510820 T^{16} - \)\(17\!\cdots\!12\)\( T^{18} + \)\(13\!\cdots\!54\)\( T^{20} - \)\(78\!\cdots\!44\)\( T^{22} + \)\(37\!\cdots\!73\)\( T^{24} - \)\(14\!\cdots\!00\)\( T^{26} + \)\(38\!\cdots\!38\)\( T^{28} - \)\(69\!\cdots\!40\)\( T^{30} + \)\(61\!\cdots\!21\)\( T^{32} \))
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