Properties

Label 315.2
Level 315
Weight 2
Dimension 2268
Nonzero newspaces 30
Newform subspaces 93
Sturm bound 13824
Trace bound 9

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Defining parameters

Level: \( N \) = \( 315 = 3^{2} \cdot 5 \cdot 7 \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 30 \)
Newform subspaces: \( 93 \)
Sturm bound: \(13824\)
Trace bound: \(9\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(315))\).

Total New Old
Modular forms 3840 2540 1300
Cusp forms 3073 2268 805
Eisenstein series 767 272 495

Trace form

\( 2268q - 4q^{2} - 8q^{3} + 12q^{4} - 6q^{5} - 40q^{6} + 2q^{7} - 12q^{8} - 16q^{9} + O(q^{10}) \) \( 2268q - 4q^{2} - 8q^{3} + 12q^{4} - 6q^{5} - 40q^{6} + 2q^{7} - 12q^{8} - 16q^{9} - 36q^{10} - 28q^{11} - 64q^{12} - 42q^{14} - 92q^{15} - 64q^{16} - 64q^{17} - 104q^{18} - 36q^{19} - 122q^{20} - 108q^{21} - 88q^{22} - 72q^{23} - 168q^{24} - 30q^{25} - 172q^{26} - 92q^{27} - 98q^{28} - 104q^{29} - 142q^{30} - 60q^{31} - 212q^{32} - 88q^{33} - 148q^{34} - 88q^{35} - 200q^{36} - 120q^{37} - 160q^{38} - 32q^{39} - 110q^{40} - 116q^{41} - 120q^{42} - 16q^{43} - 80q^{44} - 28q^{45} - 208q^{46} - 4q^{47} + 80q^{48} - 52q^{49} - 16q^{50} - 40q^{51} - 104q^{52} + 44q^{53} + 44q^{54} - 108q^{55} + 30q^{56} + 16q^{57} - 112q^{58} + 20q^{59} + 26q^{60} - 152q^{61} + 84q^{63} - 204q^{64} - 160q^{65} - 164q^{66} - 156q^{67} + 4q^{68} - 96q^{69} - 300q^{70} - 296q^{71} + 36q^{72} - 228q^{73} - 188q^{74} - 32q^{75} - 364q^{76} - 168q^{77} - 40q^{78} - 180q^{79} + 34q^{80} - 160q^{81} - 204q^{82} - 72q^{83} - 96q^{84} - 132q^{85} - 100q^{86} - 44q^{87} - 72q^{88} + 12q^{89} + 202q^{90} - 100q^{91} + 288q^{92} + 36q^{93} + 80q^{94} + 218q^{95} + 16q^{96} + 64q^{97} + 268q^{98} - 8q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(315))\)

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
315.2.a \(\chi_{315}(1, \cdot)\) 315.2.a.a 1 1
315.2.a.b 1
315.2.a.c 2
315.2.a.d 2
315.2.a.e 2
315.2.a.f 2
315.2.b \(\chi_{315}(251, \cdot)\) 315.2.b.a 4 1
315.2.b.b 4
315.2.d \(\chi_{315}(64, \cdot)\) 315.2.d.a 2 1
315.2.d.b 2
315.2.d.c 2
315.2.d.d 2
315.2.d.e 6
315.2.g \(\chi_{315}(314, \cdot)\) 315.2.g.a 16 1
315.2.i \(\chi_{315}(106, \cdot)\) 315.2.i.a 2 2
315.2.i.b 2
315.2.i.c 8
315.2.i.d 8
315.2.i.e 12
315.2.i.f 16
315.2.j \(\chi_{315}(46, \cdot)\) 315.2.j.a 2 2
315.2.j.b 2
315.2.j.c 4
315.2.j.d 4
315.2.j.e 4
315.2.j.f 6
315.2.j.g 6
315.2.k \(\chi_{315}(16, \cdot)\) 315.2.k.a 4 2
315.2.k.b 24
315.2.k.c 36
315.2.l \(\chi_{315}(121, \cdot)\) 315.2.l.a 4 2
315.2.l.b 24
315.2.l.c 36
315.2.m \(\chi_{315}(8, \cdot)\) 315.2.m.a 12 2
315.2.m.b 12
315.2.p \(\chi_{315}(118, \cdot)\) 315.2.p.a 4 2
315.2.p.b 4
315.2.p.c 4
315.2.p.d 8
315.2.p.e 16
315.2.r \(\chi_{315}(184, \cdot)\) 315.2.r.a 4 2
315.2.r.b 84
315.2.t \(\chi_{315}(101, \cdot)\) 315.2.t.a 2 2
315.2.t.b 30
315.2.t.c 32
315.2.u \(\chi_{315}(59, \cdot)\) 315.2.u.a 88 2
315.2.z \(\chi_{315}(104, \cdot)\) 315.2.z.a 8 2
315.2.z.b 80
315.2.bb \(\chi_{315}(89, \cdot)\) 315.2.bb.a 8 2
315.2.bb.b 24
315.2.be \(\chi_{315}(236, \cdot)\) 315.2.be.a 2 2
315.2.be.b 30
315.2.be.c 32
315.2.bf \(\chi_{315}(109, \cdot)\) 315.2.bf.a 4 2
315.2.bf.b 16
315.2.bf.c 16
315.2.bh \(\chi_{315}(169, \cdot)\) 315.2.bh.a 4 2
315.2.bh.b 4
315.2.bh.c 64
315.2.bj \(\chi_{315}(26, \cdot)\) 315.2.bj.a 12 2
315.2.bj.b 12
315.2.bl \(\chi_{315}(41, \cdot)\) 315.2.bl.a 2 2
315.2.bl.b 2
315.2.bl.c 2
315.2.bl.d 2
315.2.bl.e 2
315.2.bl.f 2
315.2.bl.g 2
315.2.bl.h 2
315.2.bl.i 24
315.2.bl.j 24
315.2.bo \(\chi_{315}(4, \cdot)\) 315.2.bo.a 4 2
315.2.bo.b 84
315.2.bq \(\chi_{315}(164, \cdot)\) 315.2.bq.a 88 2
315.2.bs \(\chi_{315}(52, \cdot)\) 315.2.bs.a 4 4
315.2.bs.b 4
315.2.bs.c 4
315.2.bs.d 4
315.2.bs.e 160
315.2.bv \(\chi_{315}(23, \cdot)\) 315.2.bv.a 176 4
315.2.bx \(\chi_{315}(2, \cdot)\) 315.2.bx.a 176 4
315.2.bz \(\chi_{315}(73, \cdot)\) 315.2.bz.a 4 4
315.2.bz.b 4
315.2.bz.c 32
315.2.bz.d 32
315.2.cb \(\chi_{315}(13, \cdot)\) 315.2.cb.a 176 4
315.2.cc \(\chi_{315}(92, \cdot)\) 315.2.cc.a 144 4
315.2.ce \(\chi_{315}(53, \cdot)\) 315.2.ce.a 64 4
315.2.cg \(\chi_{315}(157, \cdot)\) 315.2.cg.a 4 4
315.2.cg.b 4
315.2.cg.c 4
315.2.cg.d 4
315.2.cg.e 160

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(315))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(315)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(15))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(21))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(35))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(45))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(63))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(105))\)\(^{\oplus 2}\)

Hecke characteristic polynomials

$p$ $F_p(T)$
$2$ (\( 1 + T + 2 T^{2} \))(\( 1 + 2 T^{2} \))(\( 1 + 2 T + 3 T^{2} + 4 T^{3} + 4 T^{4} \))(\( 1 - T^{2} + 4 T^{4} \))(\( 1 - T - 2 T^{3} + 4 T^{4} \))(\( 1 - 2 T + 3 T^{2} - 4 T^{3} + 4 T^{4} \))(\( 1 - 4 T^{2} + 9 T^{4} - 16 T^{6} + 16 T^{8} \))(\( 1 - 4 T^{2} + 9 T^{4} - 16 T^{6} + 16 T^{8} \))(\( ( 1 - 2 T + 2 T^{2} )( 1 + 2 T + 2 T^{2} ) \))(\( 1 - 3 T^{2} + 4 T^{4} \))(\( 1 - 3 T^{2} + 4 T^{4} \))(\( 1 - 3 T^{2} + 4 T^{4} \))(\( 1 - T^{2} - T^{4} - 3 T^{6} - 4 T^{8} - 16 T^{10} + 64 T^{12} \))(\( ( 1 + 2 T^{2} + 3 T^{4} + 8 T^{6} + 16 T^{8} )^{4} \))(\( 1 + 2 T + 2 T^{2} + 4 T^{3} + 4 T^{4} \))(\( 1 - 2 T^{2} + 4 T^{4} \))(\( 1 - T - 3 T^{2} + 4 T^{3} + 3 T^{4} - 6 T^{5} + 4 T^{6} + 4 T^{7} - 15 T^{8} + 8 T^{9} + 16 T^{10} - 48 T^{11} + 48 T^{12} + 128 T^{13} - 192 T^{14} - 128 T^{15} + 256 T^{16} \))(\( ( 1 - 5 T + 13 T^{2} - 25 T^{3} + 39 T^{4} - 50 T^{5} + 52 T^{6} - 40 T^{7} + 16 T^{8} )( 1 + 4 T + 4 T^{2} - 7 T^{3} - 21 T^{4} - 14 T^{5} + 16 T^{6} + 32 T^{7} + 16 T^{8} ) \))(\( 1 - 3 T + 4 T^{2} - 9 T^{3} + 17 T^{4} - 15 T^{5} + 18 T^{6} - 24 T^{7} - 14 T^{8} + 72 T^{9} - 127 T^{10} + 258 T^{11} - 443 T^{12} + 516 T^{13} - 508 T^{14} + 576 T^{15} - 224 T^{16} - 768 T^{17} + 1152 T^{18} - 1920 T^{19} + 4352 T^{20} - 4608 T^{21} + 4096 T^{22} - 6144 T^{23} + 4096 T^{24} \))(\( 1 - T - 2 T^{2} + 3 T^{3} + T^{4} - 5 T^{5} - 2 T^{6} + 6 T^{7} - 2 T^{9} + 13 T^{10} - 34 T^{11} + 77 T^{12} + 46 T^{13} - 264 T^{14} - 24 T^{15} + 500 T^{16} - 48 T^{17} - 1056 T^{18} + 368 T^{19} + 1232 T^{20} - 1088 T^{21} + 832 T^{22} - 256 T^{23} + 3072 T^{25} - 2048 T^{26} - 10240 T^{27} + 4096 T^{28} + 24576 T^{29} - 32768 T^{30} - 32768 T^{31} + 65536 T^{32} \))(\( 1 + 2 T + 2 T^{2} + 4 T^{3} + 4 T^{4} \))(\( 1 - 2 T^{2} + 4 T^{4} \))(\( ( 1 + 2 T + 2 T^{2} )^{2}( 1 - 2 T + 2 T^{2} - 4 T^{3} + 4 T^{4} ) \))(\( ( 1 - 2 T^{2} )^{2}( 1 + 2 T^{2} + 4 T^{4} ) \))(\( 1 - 2 T + T^{2} + 2 T^{3} - 3 T^{4} + 4 T^{5} + 4 T^{6} - 16 T^{7} + 16 T^{8} \))(\( 1 + 2 T + 2 T^{2} - 4 T^{4} - 4 T^{5} - 4 T^{6} - 8 T^{7} - 16 T^{8} + 32 T^{10} + 64 T^{11} + 64 T^{12} \))(\( 1 - 2 T + 2 T^{2} - 4 T^{4} + 4 T^{5} - 4 T^{6} + 8 T^{7} - 16 T^{8} + 32 T^{10} - 64 T^{11} + 64 T^{12} \))(\( 1 - T + 3 T^{3} - 5 T^{4} + 6 T^{5} - 8 T^{7} + 16 T^{8} \))(\( ( 1 + T + T^{2} + 2 T^{3} + 4 T^{4} )^{2} \))(\( 1 - 8 T^{3} - 5 T^{4} + 32 T^{6} + 32 T^{7} - 5 T^{8} - 80 T^{9} - 96 T^{10} + 72 T^{11} + 193 T^{12} + 144 T^{13} - 384 T^{14} - 640 T^{15} - 80 T^{16} + 1024 T^{17} + 2048 T^{18} - 1280 T^{20} - 4096 T^{21} + 4096 T^{24} \))(\( 1 + 8 T^{3} - 5 T^{4} + 32 T^{6} - 32 T^{7} - 5 T^{8} + 80 T^{9} - 96 T^{10} - 72 T^{11} + 193 T^{12} - 144 T^{13} - 384 T^{14} + 640 T^{15} - 80 T^{16} - 1024 T^{17} + 2048 T^{18} - 1280 T^{20} + 4096 T^{21} + 4096 T^{24} \))(\( 1 - 7 T^{4} + 16 T^{8} \))(\( 1 - 7 T^{4} + 16 T^{8} \))(\( ( 1 - 2 T + 2 T^{2} - 4 T^{3} + 4 T^{4} )^{2} \))(\( ( 1 + T^{4} + 16 T^{8} )^{2} \))(\( ( 1 - 2 T + 4 T^{2} - 6 T^{3} + 9 T^{4} - 12 T^{5} + 16 T^{6} - 16 T^{7} + 16 T^{8} )^{2}( 1 + 2 T + 2 T^{3} + 9 T^{4} + 4 T^{5} + 16 T^{7} + 16 T^{8} )^{2} \))(\( ( 1 - 3 T^{2} + 4 T^{4} )^{2} \))(\( 1 - T^{2} + 4 T^{4} \))(\( ( 1 - 2 T^{2} + 4 T^{4} )^{4} \))(\( ( 1 - 2 T^{2} + 4 T^{4} )^{4} \))(\( 1 + 3 T + 5 T^{2} + 6 T^{3} + 4 T^{4} \))(\( 1 + 3 T^{2} + 5 T^{4} + 12 T^{6} + 16 T^{8} \))(\( 1 + 4 T^{2} + 4 T^{4} - 8 T^{6} - 20 T^{8} + 32 T^{10} + 96 T^{12} - 208 T^{14} - 944 T^{16} - 832 T^{18} + 1536 T^{20} + 2048 T^{22} - 5120 T^{24} - 8192 T^{26} + 16384 T^{28} + 65536 T^{30} + 65536 T^{32} \))(\( ( 1 + 2 T^{2} + 2 T^{4} - 12 T^{6} - 28 T^{8} - 48 T^{10} + 32 T^{12} + 128 T^{14} + 256 T^{16} )^{2} \))(\( 1 + 3 T^{2} + 5 T^{4} + 12 T^{6} + 16 T^{8} \))(\( ( 1 - 2 T + 2 T^{2} - 4 T^{3} + 4 T^{4} )( 1 + 2 T + 2 T^{2} + 4 T^{3} + 4 T^{4} ) \))(\( 1 + 2 T^{2} + 2 T^{4} - 12 T^{5} - 24 T^{7} - 8 T^{8} - 24 T^{9} + 52 T^{10} + 24 T^{11} + 148 T^{12} + 48 T^{13} + 208 T^{14} - 192 T^{15} - 128 T^{16} - 768 T^{17} - 1536 T^{19} + 512 T^{20} + 2048 T^{22} + 4096 T^{24} \))(\( 1 + 2 T^{2} + 2 T^{4} + 12 T^{5} + 24 T^{7} - 8 T^{8} + 24 T^{9} + 52 T^{10} - 24 T^{11} + 148 T^{12} - 48 T^{13} + 208 T^{14} + 192 T^{15} - 128 T^{16} + 768 T^{17} + 1536 T^{19} + 512 T^{20} + 2048 T^{22} + 4096 T^{24} \))(\( 1 + 3 T + 5 T^{2} + 6 T^{3} + 4 T^{4} \))(\( 1 + 3 T + 5 T^{2} + 6 T^{3} + 4 T^{4} \))(\( 1 + 3 T + 5 T^{2} + 6 T^{3} + 4 T^{4} \))(\( 1 + 3 T + 5 T^{2} + 6 T^{3} + 4 T^{4} \))(\( 1 + 2 T^{2} + 4 T^{4} \))(\( 1 + 2 T^{2} + 4 T^{4} \))(\( 1 + 2 T^{2} + 4 T^{4} \))(\( 1 + 2 T^{2} + 4 T^{4} \))(\( 1 + 3 T^{2} + 5 T^{4} + 12 T^{6} + 16 T^{8} \))(\( 1 + 2 T + 2 T^{2} + 2 T^{3} + T^{4} + 4 T^{5} + 8 T^{6} + 16 T^{7} + 16 T^{8} \))(\( 1 + 2 T + 2 T^{2} + 2 T^{3} + T^{4} + 4 T^{5} + 8 T^{6} + 16 T^{7} + 16 T^{8} \))(\( 1 + 2 T + 2 T^{2} + 2 T^{3} + T^{4} + 4 T^{5} + 8 T^{6} + 16 T^{7} + 16 T^{8} \))(\( 1 + 2 T + 2 T^{2} + 2 T^{3} + T^{4} + 4 T^{5} + 8 T^{6} + 16 T^{7} + 16 T^{8} \))(\( 1 + 2 T + 5 T^{2} + 8 T^{3} + 13 T^{4} + 16 T^{5} + 20 T^{6} + 16 T^{7} + 16 T^{8} \))(\( 1 - 4 T + 5 T^{2} + 2 T^{3} - 11 T^{4} + 4 T^{5} + 20 T^{6} - 32 T^{7} + 16 T^{8} \))(\( 1 + 2 T + 5 T^{2} + 8 T^{3} + 13 T^{4} + 16 T^{5} + 20 T^{6} + 16 T^{7} + 16 T^{8} \))(\( 1 + 2 T + 5 T^{2} + 8 T^{3} + 13 T^{4} + 16 T^{5} + 20 T^{6} + 16 T^{7} + 16 T^{8} \))(\( 1 - 4 T + 5 T^{2} + 2 T^{3} - 11 T^{4} + 4 T^{5} + 20 T^{6} - 32 T^{7} + 16 T^{8} \))(\( 1 - 4 T + 5 T^{2} + 2 T^{3} - 11 T^{4} + 4 T^{5} + 20 T^{6} - 32 T^{7} + 16 T^{8} \))
$3$ (\( 1 + 3 T + 3 T^{2} \))(\( 1 - 3 T + 3 T^{2} \))(\( 1 + T - 2 T^{2} + 3 T^{3} + 15 T^{4} + 9 T^{5} - 18 T^{6} + 27 T^{7} + 81 T^{8} \))(\( 1 - 3 T + 6 T^{2} - 9 T^{3} + 9 T^{4} - 27 T^{5} + 54 T^{6} - 81 T^{7} + 81 T^{8} \))(\( 1 - T + 2 T^{2} - T^{3} - 4 T^{4} + 20 T^{5} - 38 T^{6} + 60 T^{7} - 36 T^{8} - 27 T^{9} + 162 T^{10} - 243 T^{11} + 729 T^{12} \))(\( 1 - T - T^{2} - 2 T^{3} + T^{4} + 6 T^{5} + 6 T^{6} - 45 T^{7} + 90 T^{8} - 135 T^{9} + 54 T^{10} + 162 T^{11} + 81 T^{12} - 486 T^{13} - 729 T^{14} - 2187 T^{15} + 6561 T^{16} \))(\( ( 1 + 3 T^{2} )^{2} \))(\( ( 1 - 3 T + 3 T^{2} )^{2} \))(\( 1 + 3 T^{2} + 9 T^{4} \))(\( 1 + 3 T + 3 T^{2} \))(\( ( 1 - T^{2} + 9 T^{4} )^{2} \))(\( 1 + 3 T^{2} \))(\( ( 1 - 3 T^{2} )^{2} \))(\( 1 + 3 T^{2} + 9 T^{4} \))(\( 1 + 3 T + 3 T^{2} \))(\( 1 + 3 T^{2} \))(\( 1 + 3 T^{2} \))(\( 1 - 3 T + 3 T^{2} \))(\( 1 + 3 T + 3 T^{2} \))(\( 1 + 3 T + 3 T^{2} \))(\( 1 - 3 T + 3 T^{2} \))(\( 1 - 3 T + 3 T^{2} \))(\( ( 1 - 3 T^{2} )^{2} \))(\( 1 + 3 T^{2} + 9 T^{4} \))(\( 1 + 3 T^{2} + 9 T^{4} \))(\( ( 1 - 3 T + 3 T^{2} )^{2} \))(\( ( 1 - 3 T + 3 T^{2} )^{2} \))(\( ( 1 + 3 T^{2} )^{2} \))(\( 1 + 3 T^{2} + 9 T^{4} \))(\( ( 1 - 3 T^{2} )^{2} \))(\( ( 1 - 3 T + 3 T^{2} )^{2} \))
$5$ (\( 1 + T \))(\( 1 - T \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{4} \))(\( 1 - 4 T + 5 T^{2} \))(\( 1 + 4 T + 5 T^{2} \))(\( 1 + 2 T + 5 T^{2} \))(\( 1 - 4 T + 5 T^{2} \))(\( 1 + 2 T + 3 T^{2} + 12 T^{3} + 15 T^{4} + 50 T^{5} + 125 T^{6} \))(\( ( 1 - 4 T^{2} + 30 T^{4} - 100 T^{6} + 625 T^{8} )^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( ( 1 + T + T^{2} )^{4} \))(\( ( 1 - T + T^{2} )^{4} \))(\( ( 1 - T + T^{2} )^{6} \))(\( ( 1 + T + T^{2} )^{8} \))(\( 1 - T + T^{2} \))(\( 1 + T + T^{2} \))(\( ( 1 - T + T^{2} )^{2} \))(\( ( 1 + T + T^{2} )^{2} \))(\( ( 1 - T + T^{2} )^{2} \))(\( ( 1 + T + T^{2} )^{3} \))(\( ( 1 - T + T^{2} )^{3} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T + T^{2} )^{2} \))(\( 1 + 4 T + 12 T^{2} + 12 T^{3} - 5 T^{4} - 160 T^{5} - 408 T^{6} - 800 T^{7} - 125 T^{8} + 1500 T^{9} + 7500 T^{10} + 12500 T^{11} + 15625 T^{12} \))(\( 1 - 4 T + 12 T^{2} - 12 T^{3} - 5 T^{4} + 160 T^{5} - 408 T^{6} + 800 T^{7} - 125 T^{8} - 1500 T^{9} + 7500 T^{10} - 12500 T^{11} + 15625 T^{12} \))(\( ( 1 + 4 T + 5 T^{2} )^{2} \))(\( ( 1 - 4 T + 5 T^{2} )^{2} \))(\( 1 + 25 T^{4} \))(\( ( 1 + 5 T^{2} )^{4} \))(\( 1 + 28 T^{4} - 256 T^{6} - 26 T^{8} - 6400 T^{10} + 17500 T^{12} + 390625 T^{16} \))(\( 1 + 2 T - T^{2} + 10 T^{3} + 25 T^{4} \))(\( 1 - T + T^{2} \))(\( ( 1 - 5 T^{2} + 25 T^{4} )^{2} \))(\( 1 - 4 T^{2} - 9 T^{4} - 100 T^{6} + 625 T^{8} \))(\( ( 1 - T )^{2} \))(\( 1 - 2 T - T^{2} - 10 T^{3} + 25 T^{4} \))(\( 1 + 2 T + 4 T^{2} + 20 T^{3} + 62 T^{4} + 118 T^{5} + 200 T^{6} + 670 T^{7} + 1639 T^{8} + 3350 T^{9} + 5000 T^{10} + 14750 T^{11} + 38750 T^{12} + 62500 T^{13} + 62500 T^{14} + 156250 T^{15} + 390625 T^{16} \))(\( 1 + 8 T^{2} + 26 T^{4} - 96 T^{6} - 781 T^{8} - 2400 T^{10} + 16250 T^{12} + 125000 T^{14} + 390625 T^{16} \))(\( 1 - 4 T + 11 T^{2} - 20 T^{3} + 25 T^{4} \))(\( 1 - 4 T + 11 T^{2} - 20 T^{3} + 25 T^{4} \))(\( ( 1 + T + T^{2} )^{6} \))(\( ( 1 - T + T^{2} )^{6} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 - T + T^{2} \))(\( ( 1 - 2 T + 5 T^{2} )^{2} \))(\( 1 - 2 T - T^{2} - 10 T^{3} + 25 T^{4} \))(\( 1 - 4 T + 11 T^{2} - 20 T^{3} + 25 T^{4} \))(\( 1 + 4 T + 11 T^{2} + 20 T^{3} + 25 T^{4} \))(\( 1 + 2 T - T^{2} + 10 T^{3} + 25 T^{4} \))(\( 1 + 4 T + 11 T^{2} + 20 T^{3} + 25 T^{4} \))(\( 1 - 4 T + 11 T^{2} - 20 T^{3} + 25 T^{4} \))(\( ( 1 + 4 T + 5 T^{2} )^{2} \))(\( ( 1 - 2 T + 5 T^{2} )^{2} \))(\( ( 1 - 4 T + 5 T^{2} )^{2} \))(\( ( 1 + 2 T + 5 T^{2} )^{2} \))
$7$ (\( 1 - T \))(\( 1 - T \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - 2 T + 7 T^{2} )^{2} \))(\( ( 1 - 2 T + 7 T^{2} )^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( ( 1 + T^{2} )^{3} \))(\( ( 1 - 4 T^{2} + 6 T^{4} - 196 T^{6} + 2401 T^{8} )^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( ( 1 + T + T^{2} )^{4} \))(\( ( 1 - T + T^{2} )^{4} \))(\( ( 1 + T + T^{2} )^{6} \))(\( ( 1 - T + T^{2} )^{8} \))(\( 1 + T + 7 T^{2} \))(\( 1 - 5 T + 7 T^{2} \))(\( 1 + 11 T^{2} + 49 T^{4} \))(\( 1 + 2 T - 3 T^{2} + 14 T^{3} + 49 T^{4} \))(\( 1 - 2 T - 3 T^{2} - 14 T^{3} + 49 T^{4} \))(\( 1 - T + 2 T^{2} + 23 T^{3} + 14 T^{4} - 49 T^{5} + 343 T^{6} \))(\( 1 - T + 2 T^{2} + 23 T^{3} + 14 T^{4} - 49 T^{5} + 343 T^{6} \))(\( ( 1 + 4 T + 7 T^{2} )^{2} \))(\( ( 1 - 5 T + 7 T^{2} )^{2} \))(\( ( 1 + T^{4} )^{3} \))(\( ( 1 + T^{4} )^{3} \))(\( 1 - 4 T + 8 T^{2} - 28 T^{3} + 49 T^{4} \))(\( 1 - 4 T + 8 T^{2} - 28 T^{3} + 49 T^{4} \))(\( 1 - 4 T + 8 T^{2} - 28 T^{3} + 49 T^{4} \))(\( ( 1 + 4 T + 8 T^{2} + 28 T^{3} + 49 T^{4} )^{2} \))(\( 1 + 8 T + 32 T^{2} + 88 T^{3} + 196 T^{4} + 248 T^{5} - 416 T^{6} - 2840 T^{7} - 8634 T^{8} - 19880 T^{9} - 20384 T^{10} + 85064 T^{11} + 470596 T^{12} + 1479016 T^{13} + 3764768 T^{14} + 6588344 T^{15} + 5764801 T^{16} \))(\( 1 + 2 T^{2} + 49 T^{4} \))(\( 1 - 4 T + 7 T^{2} \))(\( ( 1 + 7 T^{2} + 49 T^{4} )^{2} \))(\( ( 1 + 7 T^{2} + 49 T^{4} )^{2} \))(\( 1 + 5 T + 7 T^{2} \))(\( 1 - 13 T^{2} + 49 T^{4} \))(\( 1 + 20 T^{2} + 202 T^{4} + 1244 T^{6} + 7267 T^{8} + 60956 T^{10} + 485002 T^{12} + 2352980 T^{14} + 5764801 T^{16} \))(\( ( 1 + 91 T^{4} + 2401 T^{8} )^{2} \))(\( 1 - T^{2} + T^{4} \))(\( 1 - T^{2} + T^{4} \))(\( 1 + 2 T - T^{2} + 6 T^{3} + 130 T^{4} + 130 T^{5} - 131 T^{6} + 910 T^{7} + 6370 T^{8} + 2058 T^{9} - 2401 T^{10} + 33614 T^{11} + 117649 T^{12} \))(\( 1 + 2 T - T^{2} + 6 T^{3} + 130 T^{4} + 130 T^{5} - 131 T^{6} + 910 T^{7} + 6370 T^{8} + 2058 T^{9} - 2401 T^{10} + 33614 T^{11} + 117649 T^{12} \))(\( 1 - T + 7 T^{2} \))(\( 1 - T + 7 T^{2} \))(\( 1 + 5 T + 7 T^{2} \))(\( 1 - 4 T + 7 T^{2} \))(\( 1 + 5 T + 7 T^{2} \))(\( 1 - T + 7 T^{2} \))(\( 1 + 5 T + 7 T^{2} \))(\( 1 - T + 7 T^{2} \))(\( 1 + 11 T^{2} + 49 T^{4} \))(\( ( 1 + 5 T + 7 T^{2} )^{2} \))(\( 1 + 2 T^{2} + 49 T^{4} \))(\( ( 1 - 4 T + 7 T^{2} )^{2} \))(\( 1 + 11 T^{2} + 49 T^{4} \))(\( ( 1 + 5 T + 7 T^{2} )^{2} \))(\( 1 + 11 T^{2} + 49 T^{4} \))(\( 1 + 11 T^{2} + 49 T^{4} \))(\( 1 - 13 T^{2} + 49 T^{4} \))(\( ( 1 + 5 T + 7 T^{2} )^{2} \))(\( ( 1 - T + 7 T^{2} )^{2} \))
$11$ (\( 1 + 11 T^{2} \))(\( 1 - 3 T + 11 T^{2} \))(\( 1 + 4 T + 18 T^{2} + 44 T^{3} + 121 T^{4} \))(\( 1 + 4 T + 6 T^{2} + 44 T^{3} + 121 T^{4} \))(\( 1 + T + 18 T^{2} + 11 T^{3} + 121 T^{4} \))(\( 1 - 4 T + 18 T^{2} - 44 T^{3} + 121 T^{4} \))(\( 1 - 16 T^{2} + 114 T^{4} - 1936 T^{6} + 14641 T^{8} \))(\( 1 - 16 T^{2} + 114 T^{4} - 1936 T^{6} + 14641 T^{8} \))(\( ( 1 - 3 T + 11 T^{2} )^{2} \))(\( ( 1 + 11 T^{2} )^{2} \))(\( ( 1 - 6 T + 11 T^{2} )^{2} \))(\( ( 1 + 11 T^{2} )^{2} \))(\( ( 1 + 2 T + 11 T^{2} )^{6} \))(\( ( 1 - 20 T^{2} + 121 T^{4} )^{8} \))(\( 1 + 3 T - 2 T^{2} + 33 T^{3} + 121 T^{4} \))(\( 1 - 11 T^{2} + 121 T^{4} \))(\( 1 - T - 9 T^{2} + 80 T^{3} - 100 T^{4} - 635 T^{5} + 2400 T^{6} + 384 T^{7} - 22329 T^{8} + 4224 T^{9} + 290400 T^{10} - 845185 T^{11} - 1464100 T^{12} + 12884080 T^{13} - 15944049 T^{14} - 19487171 T^{15} + 214358881 T^{16} \))(\( 1 + 7 T - 9 T^{2} - 72 T^{3} + 656 T^{4} + 2001 T^{5} - 7276 T^{6} + 844 T^{7} + 151647 T^{8} + 9284 T^{9} - 880396 T^{10} + 2663331 T^{11} + 9604496 T^{12} - 11595672 T^{13} - 15944049 T^{14} + 136410197 T^{15} + 214358881 T^{16} \))(\( 1 - 7 T + 2 T^{2} - 101 T^{3} + 1217 T^{4} - 1299 T^{5} + 3761 T^{6} - 100272 T^{7} + 184115 T^{8} + 8971 T^{9} + 4867308 T^{10} - 13424374 T^{11} - 3841008 T^{12} - 147668114 T^{13} + 588944268 T^{14} + 11940401 T^{15} + 2695627715 T^{16} - 16148905872 T^{17} + 6662840921 T^{18} - 25313835129 T^{19} + 260874758177 T^{20} - 238152716791 T^{21} + 51874849202 T^{22} - 1997181694277 T^{23} + 3138428376721 T^{24} \))(\( 1 + 4 T - 8 T^{2} - 252 T^{3} - 884 T^{4} + 761 T^{5} + 29542 T^{6} + 109554 T^{7} + 21618 T^{8} - 2194876 T^{9} - 9004202 T^{10} - 8688626 T^{11} + 112135271 T^{12} + 523246502 T^{13} + 801407592 T^{14} - 4004853117 T^{15} - 22200406036 T^{16} - 44053384287 T^{17} + 96970318632 T^{18} + 696441094162 T^{19} + 1641772502711 T^{20} - 1399311905926 T^{21} - 15951493099322 T^{22} - 42771923935796 T^{23} + 4634010289458 T^{24} + 258322601339814 T^{25} + 766243397562742 T^{26} + 217122181334971 T^{27} - 2774370685021364 T^{28} - 8699723460270612 T^{29} - 3037998668665928 T^{30} + 16708992677662604 T^{31} + 45949729863572161 T^{32} \))(\( 1 + 6 T + 25 T^{2} + 66 T^{3} + 121 T^{4} \))(\( 1 - 11 T^{2} + 121 T^{4} \))(\( 1 + 2 T - 16 T^{2} - 4 T^{3} + 235 T^{4} - 44 T^{5} - 1936 T^{6} + 2662 T^{7} + 14641 T^{8} \))(\( 1 - 4 T - 8 T^{2} - 8 T^{3} + 279 T^{4} - 88 T^{5} - 968 T^{6} - 5324 T^{7} + 14641 T^{8} \))(\( 1 - 4 T - 2 T^{2} + 16 T^{3} + 27 T^{4} + 176 T^{5} - 242 T^{6} - 5324 T^{7} + 14641 T^{8} \))(\( 1 + 10 T + 41 T^{2} + 138 T^{3} + 572 T^{4} + 1564 T^{5} + 3347 T^{6} + 17204 T^{7} + 69212 T^{8} + 183678 T^{9} + 600281 T^{10} + 1610510 T^{11} + 1771561 T^{12} \))(\( 1 - 10 T + 41 T^{2} - 138 T^{3} + 572 T^{4} - 1564 T^{5} + 3347 T^{6} - 17204 T^{7} + 69212 T^{8} - 183678 T^{9} + 600281 T^{10} - 1610510 T^{11} + 1771561 T^{12} \))(\( ( 1 + 11 T^{2} )^{4} \))(\( ( 1 - 11 T^{2} + 121 T^{4} )^{2} \))(\( 1 - 52 T^{2} + 1458 T^{4} - 30084 T^{6} + 494911 T^{8} - 6805160 T^{10} + 80542716 T^{12} - 823424360 T^{14} + 7245991951 T^{16} - 53295641124 T^{18} + 312535248498 T^{20} - 1348746079252 T^{22} + 3138428376721 T^{24} \))(\( 1 - 52 T^{2} + 1458 T^{4} - 30084 T^{6} + 494911 T^{8} - 6805160 T^{10} + 80542716 T^{12} - 823424360 T^{14} + 7245991951 T^{16} - 53295641124 T^{18} + 312535248498 T^{20} - 1348746079252 T^{22} + 3138428376721 T^{24} \))(\( ( 1 + 12 T^{2} + 121 T^{4} )^{2} \))(\( ( 1 + 12 T^{2} + 121 T^{4} )^{2} \))(\( ( 1 - T + 11 T^{2} )^{4} \))(\( ( 1 + 4 T^{2} + 121 T^{4} )^{4} \))(\( ( 1 - 4 T + 32 T^{2} - 68 T^{3} + 402 T^{4} - 748 T^{5} + 3872 T^{6} - 5324 T^{7} + 14641 T^{8} )^{4} \))(\( ( 1 + 6 T + 25 T^{2} + 66 T^{3} + 121 T^{4} )^{2} \))(\( 1 + 6 T + 23 T^{2} + 66 T^{3} + 121 T^{4} \))(\( ( 1 - 3 T + 11 T^{2} )^{4}( 1 - 3 T - 2 T^{2} - 33 T^{3} + 121 T^{4} )^{2} \))(\( ( 1 - 6 T + 25 T^{2} - 66 T^{3} + 121 T^{4} )^{2}( 1 + 6 T + 25 T^{2} + 66 T^{3} + 121 T^{4} )^{2} \))(\( 1 - 10 T^{2} + 121 T^{4} \))(\( ( 1 - 11 T^{2} + 121 T^{4} )^{2} \))(\( ( 1 - 26 T^{2} + 28 T^{3} + 316 T^{4} - 518 T^{5} - 2872 T^{6} + 2968 T^{7} + 31007 T^{8} + 32648 T^{9} - 347512 T^{10} - 689458 T^{11} + 4626556 T^{12} + 4509428 T^{13} - 46060586 T^{14} + 214358881 T^{16} )^{2} \))(\( ( 1 - 2 T^{2} - 176 T^{4} + 124 T^{6} + 17275 T^{8} + 15004 T^{10} - 2576816 T^{12} - 3543122 T^{14} + 214358881 T^{16} )^{2} \))(\( ( 1 - 3 T - 2 T^{2} - 33 T^{3} + 121 T^{4} )^{2} \))(\( ( 1 + 3 T - 2 T^{2} + 33 T^{3} + 121 T^{4} )^{2} \))(\( 1 - 12 T + 104 T^{2} - 672 T^{3} + 3641 T^{4} - 16332 T^{5} + 62340 T^{6} - 195852 T^{7} + 477010 T^{8} - 649368 T^{9} - 1262450 T^{10} + 12891636 T^{11} - 53694803 T^{12} + 141807996 T^{13} - 152756450 T^{14} - 864308808 T^{15} + 6983903410 T^{16} - 31542160452 T^{17} + 110439112740 T^{18} - 318264476772 T^{19} + 780480685721 T^{20} - 1584540848352 T^{21} + 2697492158504 T^{22} - 3423740047332 T^{23} + 3138428376721 T^{24} \))(\( 1 + 12 T + 104 T^{2} + 672 T^{3} + 3641 T^{4} + 16332 T^{5} + 62340 T^{6} + 195852 T^{7} + 477010 T^{8} + 649368 T^{9} - 1262450 T^{10} - 12891636 T^{11} - 53694803 T^{12} - 141807996 T^{13} - 152756450 T^{14} + 864308808 T^{15} + 6983903410 T^{16} + 31542160452 T^{17} + 110439112740 T^{18} + 318264476772 T^{19} + 780480685721 T^{20} + 1584540848352 T^{21} + 2697492158504 T^{22} + 3423740047332 T^{23} + 3138428376721 T^{24} \))(\( 1 + 11 T^{2} + 121 T^{4} \))(\( 1 + 9 T + 38 T^{2} + 99 T^{3} + 121 T^{4} \))(\( 1 + 9 T + 38 T^{2} + 99 T^{3} + 121 T^{4} \))(\( 1 + 11 T^{2} + 121 T^{4} \))(\( 1 - 3 T + 14 T^{2} - 33 T^{3} + 121 T^{4} \))(\( 1 + 6 T + 23 T^{2} + 66 T^{3} + 121 T^{4} \))(\( 1 + 6 T + 23 T^{2} + 66 T^{3} + 121 T^{4} \))(\( 1 - 3 T + 14 T^{2} - 33 T^{3} + 121 T^{4} \))(\( ( 1 - 6 T + 11 T^{2} )^{4} \))(\( ( 1 - 2 T - 7 T^{2} - 22 T^{3} + 121 T^{4} )^{2} \))(\( 1 - 4 T + 2 T^{2} + 32 T^{3} - 101 T^{4} + 352 T^{5} + 242 T^{6} - 5324 T^{7} + 14641 T^{8} \))(\( 1 - 4 T + 2 T^{2} + 32 T^{3} - 101 T^{4} + 352 T^{5} + 242 T^{6} - 5324 T^{7} + 14641 T^{8} \))(\( ( 1 - 2 T - 7 T^{2} - 22 T^{3} + 121 T^{4} )^{2} \))(\( 1 + 2 T - 16 T^{2} - 4 T^{3} + 235 T^{4} - 44 T^{5} - 1936 T^{6} + 2662 T^{7} + 14641 T^{8} \))(\( 1 + 2 T - 16 T^{2} - 4 T^{3} + 235 T^{4} - 44 T^{5} - 1936 T^{6} + 2662 T^{7} + 14641 T^{8} \))(\( ( 1 + 4 T + 14 T^{2} + 44 T^{3} + 121 T^{4} )^{2} \))(\( ( 1 + 2 T + 11 T^{2} )^{4} \))(\( ( 1 + 4 T + 14 T^{2} + 44 T^{3} + 121 T^{4} )^{2} \))(\( ( 1 + 2 T + 11 T^{2} )^{4} \))
$13$ (\( 1 + 6 T + 13 T^{2} \))(\( 1 - 5 T + 13 T^{2} \))(\( 1 + 4 T + 22 T^{2} + 52 T^{3} + 169 T^{4} \))(\( 1 + 6 T^{2} + 169 T^{4} \))(\( 1 - 5 T + 28 T^{2} - 65 T^{3} + 169 T^{4} \))(\( 1 + 4 T + 22 T^{2} + 52 T^{3} + 169 T^{4} \))(\( 1 - 4 T^{2} - 90 T^{4} - 676 T^{6} + 28561 T^{8} \))(\( 1 - 4 T^{2} - 90 T^{4} - 676 T^{6} + 28561 T^{8} \))(\( 1 - 25 T^{2} + 169 T^{4} \))(\( ( 1 - 6 T + 13 T^{2} )( 1 + 6 T + 13 T^{2} ) \))(\( 1 - 22 T^{2} + 169 T^{4} \))(\( ( 1 - 6 T + 13 T^{2} )( 1 + 6 T + 13 T^{2} ) \))(\( 1 - 34 T^{2} + 359 T^{4} - 2172 T^{6} + 60671 T^{8} - 971074 T^{10} + 4826809 T^{12} \))(\( ( 1 + 20 T^{2} + 222 T^{4} + 3380 T^{6} + 28561 T^{8} )^{4} \))(\( 1 + 6 T + 23 T^{2} + 78 T^{3} + 169 T^{4} \))(\( 1 - T - 12 T^{2} - 13 T^{3} + 169 T^{4} \))(\( 1 - 12 T + 46 T^{2} - 114 T^{3} + 995 T^{4} - 5253 T^{5} + 13023 T^{6} - 59967 T^{7} + 319775 T^{8} - 779571 T^{9} + 2200887 T^{10} - 11540841 T^{11} + 28418195 T^{12} - 42327402 T^{13} + 222033214 T^{14} - 752982204 T^{15} + 815730721 T^{16} \))(\( 1 - 8 T - 2 T^{2} + 50 T^{3} + 725 T^{4} - 1727 T^{5} - 11281 T^{6} + 7925 T^{7} + 170479 T^{8} + 103025 T^{9} - 1906489 T^{10} - 3794219 T^{11} + 20706725 T^{12} + 18564650 T^{13} - 9653618 T^{14} - 501988136 T^{15} + 815730721 T^{16} \))(\( 1 + 10 T + 13 T^{2} - 140 T^{3} - 193 T^{4} + 1289 T^{5} - 4213 T^{6} - 33844 T^{7} + 25985 T^{8} + 133822 T^{9} - 1152335 T^{10} + 1550359 T^{11} + 32289884 T^{12} + 20154667 T^{13} - 194744615 T^{14} + 294006934 T^{15} + 742157585 T^{16} - 12566040292 T^{17} - 20335346317 T^{18} + 80882838413 T^{19} - 157436029153 T^{20} - 1484629912220 T^{21} + 1792160394037 T^{22} + 17921603940370 T^{23} + 23298085122481 T^{24} \))(\( 1 + 5 T - 24 T^{2} - 129 T^{3} + 240 T^{4} + 1174 T^{5} - 1462 T^{6} - 4299 T^{7} - 36 T^{8} + 124186 T^{9} + 631224 T^{10} - 2988076 T^{11} - 15052803 T^{12} + 29465898 T^{13} + 184401460 T^{14} - 98215947 T^{15} - 1918362832 T^{16} - 1276807311 T^{17} + 31163846740 T^{18} + 64736577906 T^{19} - 429923106483 T^{20} - 1109451702268 T^{21} + 3046797684216 T^{22} + 7792487332162 T^{23} - 29366305956 T^{24} - 45588742804527 T^{25} - 201549115083238 T^{26} + 2103996302599438 T^{27} + 5591540429395440 T^{28} - 39070888750400637 T^{29} - 94497033256782936 T^{30} + 255929465070453785 T^{31} + 665416609183179841 T^{32} \))(\( ( 1 + 3 T + 13 T^{2} )^{2} \))(\( ( 1 + T + 13 T^{2} )^{2} \))(\( ( 1 - 8 T + 39 T^{2} - 104 T^{3} + 169 T^{4} )^{2} \))(\( ( 1 + 6 T + 33 T^{2} + 78 T^{3} + 169 T^{4} )^{2} \))(\( ( 1 + 4 T + 22 T^{2} + 52 T^{3} + 169 T^{4} )^{2} \))(\( ( 1 - 7 T + 48 T^{2} - 171 T^{3} + 624 T^{4} - 1183 T^{5} + 2197 T^{6} )^{2} \))(\( ( 1 - 7 T + 48 T^{2} - 171 T^{3} + 624 T^{4} - 1183 T^{5} + 2197 T^{6} )^{2} \))(\( 1 - 4 T - T^{2} + 36 T^{3} - 88 T^{4} + 468 T^{5} - 169 T^{6} - 8788 T^{7} + 28561 T^{8} \))(\( 1 - 4 T - T^{2} + 36 T^{3} - 88 T^{4} + 468 T^{5} - 169 T^{6} - 8788 T^{7} + 28561 T^{8} \))(\( 1 + 4 T + 8 T^{2} + 108 T^{3} + 298 T^{4} + 204 T^{5} + 4264 T^{6} + 17924 T^{7} + 42687 T^{8} + 200904 T^{9} + 1148048 T^{10} + 3595224 T^{11} + 7337420 T^{12} + 46737912 T^{13} + 194020112 T^{14} + 441386088 T^{15} + 1219183407 T^{16} + 6655055732 T^{17} + 20581513576 T^{18} + 12800697468 T^{19} + 243087754858 T^{20} + 1145285932284 T^{21} + 1102867934792 T^{22} + 7168641576148 T^{23} + 23298085122481 T^{24} \))(\( 1 + 4 T + 8 T^{2} + 108 T^{3} + 298 T^{4} + 204 T^{5} + 4264 T^{6} + 17924 T^{7} + 42687 T^{8} + 200904 T^{9} + 1148048 T^{10} + 3595224 T^{11} + 7337420 T^{12} + 46737912 T^{13} + 194020112 T^{14} + 441386088 T^{15} + 1219183407 T^{16} + 6655055732 T^{17} + 20581513576 T^{18} + 12800697468 T^{19} + 243087754858 T^{20} + 1145285932284 T^{21} + 1102867934792 T^{22} + 7168641576148 T^{23} + 23298085122481 T^{24} \))(\( ( 1 - 8 T + 32 T^{2} - 104 T^{3} + 169 T^{4} )( 1 + 8 T + 32 T^{2} + 104 T^{3} + 169 T^{4} ) \))(\( ( 1 - 8 T + 32 T^{2} - 104 T^{3} + 169 T^{4} )( 1 + 8 T + 32 T^{2} + 104 T^{3} + 169 T^{4} ) \))(\( 1 + 103 T^{4} + 28561 T^{8} \))(\( ( 1 - 8 T + 32 T^{2} - 104 T^{3} + 169 T^{4} )^{2}( 1 + 8 T + 32 T^{2} + 104 T^{3} + 169 T^{4} )^{2} \))(\( 1 + 424 T^{4} + 47004 T^{8} - 12160488 T^{12} - 4129271418 T^{16} - 347315697768 T^{20} + 38342606809884 T^{24} + 9878388091931944 T^{28} + 665416609183179841 T^{32} \))(\( ( 1 - 6 T + 23 T^{2} - 78 T^{3} + 169 T^{4} )( 1 + 6 T + 23 T^{2} + 78 T^{3} + 169 T^{4} ) \))(\( ( 1 - 7 T + 13 T^{2} )( 1 - 5 T + 13 T^{2} ) \))(\( ( 1 + 19 T^{2} + 169 T^{4} )^{2}( 1 - 19 T^{2} + 192 T^{4} - 3211 T^{6} + 28561 T^{8} ) \))(\( ( 1 + 19 T^{2} + 169 T^{4} )^{4} \))(\( ( 1 + 5 T + 13 T^{2} )( 1 + 7 T + 13 T^{2} ) \))(\( ( 1 - 22 T^{2} + 169 T^{4} )^{2} \))(\( ( 1 - 44 T^{2} + 1234 T^{4} - 23988 T^{6} + 358939 T^{8} - 4053972 T^{10} + 35244274 T^{12} - 212379596 T^{14} + 815730721 T^{16} )^{2} \))(\( ( 1 - 24 T^{2} + 475 T^{4} - 4056 T^{6} + 28561 T^{8} )^{4} \))(\( 1 + 25 T^{2} + 456 T^{4} + 4225 T^{6} + 28561 T^{8} \))(\( ( 1 - T^{2} + 169 T^{4} )( 1 + 23 T^{2} + 169 T^{4} ) \))(\( 1 - 54 T^{2} + 1725 T^{4} - 42910 T^{6} + 855078 T^{8} - 14180646 T^{10} + 200139573 T^{12} - 2396529174 T^{14} + 24421882758 T^{16} - 207118374190 T^{18} + 1407135493725 T^{20} - 7444358559846 T^{22} + 23298085122481 T^{24} \))(\( 1 - 54 T^{2} + 1725 T^{4} - 42910 T^{6} + 855078 T^{8} - 14180646 T^{10} + 200139573 T^{12} - 2396529174 T^{14} + 24421882758 T^{16} - 207118374190 T^{18} + 1407135493725 T^{20} - 7444358559846 T^{22} + 23298085122481 T^{24} \))(\( 1 + 13 T^{2} + 169 T^{4} \))(\( ( 1 + 2 T + 13 T^{2} )( 1 + 7 T + 13 T^{2} ) \))(\( ( 1 - 7 T + 13 T^{2} )( 1 - 2 T + 13 T^{2} ) \))(\( 1 + 13 T^{2} + 169 T^{4} \))(\( 1 + 13 T^{2} + 169 T^{4} \))(\( ( 1 + 2 T + 13 T^{2} )( 1 + 7 T + 13 T^{2} ) \))(\( ( 1 - 7 T + 13 T^{2} )( 1 - 2 T + 13 T^{2} ) \))(\( 1 + 13 T^{2} + 169 T^{4} \))(\( ( 1 - 6 T + 23 T^{2} - 78 T^{3} + 169 T^{4} )( 1 + 6 T + 23 T^{2} + 78 T^{3} + 169 T^{4} ) \))(\( 1 + 2 T + 26 T^{2} + 84 T^{3} + 407 T^{4} + 1092 T^{5} + 4394 T^{6} + 4394 T^{7} + 28561 T^{8} \))(\( 1 - 8 T + 20 T^{2} + 36 T^{3} - 361 T^{4} + 468 T^{5} + 3380 T^{6} - 17576 T^{7} + 28561 T^{8} \))(\( 1 - 4 T + 20 T^{2} - 84 T^{3} + 263 T^{4} - 1092 T^{5} + 3380 T^{6} - 8788 T^{7} + 28561 T^{8} \))(\( 1 + 10 T + 26 T^{2} - 108 T^{3} - 841 T^{4} - 1404 T^{5} + 4394 T^{6} + 21970 T^{7} + 28561 T^{8} \))(\( ( 1 + 4 T + 8 T^{2} + 52 T^{3} + 169 T^{4} )^{2} \))(\( ( 1 - 4 T + 8 T^{2} - 52 T^{3} + 169 T^{4} )^{2} \))(\( 1 + 4 T + 20 T^{2} + 84 T^{3} + 263 T^{4} + 1092 T^{5} + 3380 T^{6} + 8788 T^{7} + 28561 T^{8} \))(\( 1 - 2 T + 26 T^{2} - 84 T^{3} + 407 T^{4} - 1092 T^{5} + 4394 T^{6} - 4394 T^{7} + 28561 T^{8} \))(\( 1 + 8 T + 20 T^{2} - 36 T^{3} - 361 T^{4} - 468 T^{5} + 3380 T^{6} + 17576 T^{7} + 28561 T^{8} \))(\( 1 - 10 T + 26 T^{2} + 108 T^{3} - 841 T^{4} + 1404 T^{5} + 4394 T^{6} - 21970 T^{7} + 28561 T^{8} \))
$17$ (\( 1 + 2 T + 17 T^{2} \))(\( 1 + 3 T + 17 T^{2} \))(\( 1 + 4 T + 6 T^{2} + 68 T^{3} + 289 T^{4} \))(\( ( 1 - 2 T + 17 T^{2} )^{2} \))(\( 1 - 5 T + 36 T^{2} - 85 T^{3} + 289 T^{4} \))(\( 1 - 4 T + 6 T^{2} - 68 T^{3} + 289 T^{4} \))(\( ( 1 + 22 T^{2} + 289 T^{4} )^{2} \))(\( ( 1 + 22 T^{2} + 289 T^{4} )^{2} \))(\( 1 + 15 T^{2} + 289 T^{4} \))(\( ( 1 - 8 T + 17 T^{2} )( 1 + 8 T + 17 T^{2} ) \))(\( 1 - 18 T^{2} + 289 T^{4} \))(\( ( 1 - 8 T + 17 T^{2} )( 1 + 8 T + 17 T^{2} ) \))(\( 1 - 70 T^{2} + 2415 T^{4} - 51220 T^{6} + 697935 T^{8} - 5846470 T^{10} + 24137569 T^{12} \))(\( ( 1 - 4 T^{2} + 558 T^{4} - 1156 T^{6} + 83521 T^{8} )^{4} \))(\( ( 1 + 2 T + 17 T^{2} )^{2} \))(\( ( 1 + 3 T + 17 T^{2} )^{2} \))(\( ( 1 - 5 T + 14 T^{2} + 61 T^{3} - 359 T^{4} + 1037 T^{5} + 4046 T^{6} - 24565 T^{7} + 83521 T^{8} )^{2} \))(\( ( 1 - T + 64 T^{2} - 47 T^{3} + 1599 T^{4} - 799 T^{5} + 18496 T^{6} - 4913 T^{7} + 83521 T^{8} )^{2} \))(\( ( 1 - 7 T + 51 T^{2} - 194 T^{3} + 1000 T^{4} - 2743 T^{5} + 13847 T^{6} - 46631 T^{7} + 289000 T^{8} - 953122 T^{9} + 4259571 T^{10} - 9938999 T^{11} + 24137569 T^{12} )^{2} \))(\( ( 1 - 4 T + 48 T^{2} - 60 T^{3} + 722 T^{4} + 693 T^{5} + 14099 T^{6} - 6718 T^{7} + 352974 T^{8} - 114206 T^{9} + 4074611 T^{10} + 3404709 T^{11} + 60302162 T^{12} - 85191420 T^{13} + 1158603312 T^{14} - 1641354692 T^{15} + 6975757441 T^{16} )^{2} \))(\( 1 + 4 T - T^{2} + 68 T^{3} + 289 T^{4} \))(\( 1 - 6 T + 19 T^{2} - 102 T^{3} + 289 T^{4} \))(\( 1 - 10 T + 44 T^{2} - 220 T^{3} + 1147 T^{4} - 3740 T^{5} + 12716 T^{6} - 49130 T^{7} + 83521 T^{8} \))(\( 1 + 4 T - 4 T^{2} - 56 T^{3} - 161 T^{4} - 952 T^{5} - 1156 T^{6} + 19652 T^{7} + 83521 T^{8} \))(\( 1 - 4 T - 14 T^{2} + 16 T^{3} + 339 T^{4} + 272 T^{5} - 4046 T^{6} - 19652 T^{7} + 83521 T^{8} \))(\( 1 - 2 T - 43 T^{2} + 30 T^{3} + 1286 T^{4} - 296 T^{5} - 25039 T^{6} - 5032 T^{7} + 371654 T^{8} + 147390 T^{9} - 3591403 T^{10} - 2839714 T^{11} + 24137569 T^{12} \))(\( 1 + 2 T - 43 T^{2} - 30 T^{3} + 1286 T^{4} + 296 T^{5} - 25039 T^{6} + 5032 T^{7} + 371654 T^{8} - 147390 T^{9} - 3591403 T^{10} + 2839714 T^{11} + 24137569 T^{12} \))(\( 1 + 4 T - 9 T^{2} - 36 T^{3} + 64 T^{4} - 612 T^{5} - 2601 T^{6} + 19652 T^{7} + 83521 T^{8} \))(\( 1 + 4 T - 9 T^{2} - 36 T^{3} + 64 T^{4} - 612 T^{5} - 2601 T^{6} + 19652 T^{7} + 83521 T^{8} \))(\( 1 - 8 T + 32 T^{2} - 232 T^{3} + 1238 T^{4} - 3432 T^{5} + 14752 T^{6} - 67976 T^{7} + 254479 T^{8} - 1447664 T^{9} + 6834752 T^{10} - 33133872 T^{11} + 165039860 T^{12} - 563275824 T^{13} + 1975243328 T^{14} - 7112373232 T^{15} + 21254340559 T^{16} - 96516199432 T^{17} + 356077417888 T^{18} - 1408282325736 T^{19} + 8635987711958 T^{20} - 27512387347304 T^{21} + 64511804814368 T^{22} - 274175170461064 T^{23} + 582622237229761 T^{24} \))(\( 1 + 8 T + 32 T^{2} + 232 T^{3} + 1238 T^{4} + 3432 T^{5} + 14752 T^{6} + 67976 T^{7} + 254479 T^{8} + 1447664 T^{9} + 6834752 T^{10} + 33133872 T^{11} + 165039860 T^{12} + 563275824 T^{13} + 1975243328 T^{14} + 7112373232 T^{15} + 21254340559 T^{16} + 96516199432 T^{17} + 356077417888 T^{18} + 1408282325736 T^{19} + 8635987711958 T^{20} + 27512387347304 T^{21} + 64511804814368 T^{22} + 274175170461064 T^{23} + 582622237229761 T^{24} \))(\( ( 1 - 8 T + 17 T^{2} )^{2}( 1 - 2 T + 17 T^{2} )^{2} \))(\( ( 1 + 2 T + 17 T^{2} )^{2}( 1 + 8 T + 17 T^{2} )^{2} \))(\( 1 + 263 T^{4} + 83521 T^{8} \))(\( ( 1 - 2 T^{4} + 83521 T^{8} )^{2} \))(\( 1 + 120 T^{4} + 166556 T^{8} - 9625784 T^{12} + 12237871174 T^{16} - 803955105464 T^{20} + 1161854256343196 T^{24} + 69914668467571320 T^{28} + 48661191875666868481 T^{32} \))(\( ( 1 - 8 T + 47 T^{2} - 136 T^{3} + 289 T^{4} )( 1 + 8 T + 47 T^{2} + 136 T^{3} + 289 T^{4} ) \))(\( 1 - 6 T + 19 T^{2} - 102 T^{3} + 289 T^{4} \))(\( ( 1 + 29 T^{2} + 552 T^{4} + 8381 T^{6} + 83521 T^{8} )^{2} \))(\( ( 1 + 20 T^{2} + 111 T^{4} + 5780 T^{6} + 83521 T^{8} )^{2} \))(\( 1 + 6 T + 19 T^{2} + 102 T^{3} + 289 T^{4} \))(\( ( 1 - 8 T + 47 T^{2} - 136 T^{3} + 289 T^{4} )( 1 + 8 T + 47 T^{2} + 136 T^{3} + 289 T^{4} ) \))(\( 1 + 76 T^{2} + 2664 T^{4} + 67392 T^{6} + 1583990 T^{8} + 33141472 T^{10} + 603483136 T^{12} + 11039990476 T^{14} + 198790801859 T^{16} + 3190557247564 T^{18} + 50403515001856 T^{20} + 799954567161568 T^{22} + 11049530028969590 T^{24} + 135861860939059008 T^{26} + 1552105639980083304 T^{28} + 12796714818514470604 T^{30} + 48661191875666868481 T^{32} \))(\( ( 1 + 14 T^{2} - 424 T^{4} + 588 T^{6} + 244235 T^{8} + 169932 T^{10} - 35412904 T^{12} + 337925966 T^{14} + 6975757441 T^{16} )^{2} \))(\( ( 1 + 15 T^{2} + 289 T^{4} )^{2} \))(\( ( 1 - 8 T + 17 T^{2} )^{2}( 1 + 8 T + 17 T^{2} )^{2} \))(\( 1 - 42 T^{2} + 120 T^{3} + 831 T^{4} - 5256 T^{5} - 3958 T^{6} + 127332 T^{7} - 227496 T^{8} - 2018952 T^{9} + 9082140 T^{10} + 14965308 T^{11} - 192427863 T^{12} + 254410236 T^{13} + 2624738460 T^{14} - 9919111176 T^{15} - 19000693416 T^{16} + 180793231524 T^{17} - 95536498102 T^{18} - 2156740065288 T^{19} + 5796854433471 T^{20} + 14230545179640 T^{21} - 84671743818858 T^{22} + 582622237229761 T^{24} \))(\( 1 - 42 T^{2} - 120 T^{3} + 831 T^{4} + 5256 T^{5} - 3958 T^{6} - 127332 T^{7} - 227496 T^{8} + 2018952 T^{9} + 9082140 T^{10} - 14965308 T^{11} - 192427863 T^{12} - 254410236 T^{13} + 2624738460 T^{14} + 9919111176 T^{15} - 19000693416 T^{16} - 180793231524 T^{17} - 95536498102 T^{18} + 2156740065288 T^{19} + 5796854433471 T^{20} - 14230545179640 T^{21} - 84671743818858 T^{22} + 582622237229761 T^{24} \))(\( ( 1 + 6 T + 17 T^{2} )^{2} \))(\( ( 1 - 3 T + 17 T^{2} )^{2} \))(\( ( 1 + 3 T + 17 T^{2} )^{2} \))(\( ( 1 - 6 T + 17 T^{2} )^{2} \))(\( ( 1 + 6 T + 17 T^{2} )^{2} \))(\( ( 1 + 3 T + 17 T^{2} )^{2} \))(\( ( 1 - 3 T + 17 T^{2} )^{2} \))(\( ( 1 - 6 T + 17 T^{2} )^{2} \))(\( ( 1 - 8 T + 47 T^{2} - 136 T^{3} + 289 T^{4} )( 1 + 8 T + 47 T^{2} + 136 T^{3} + 289 T^{4} ) \))(\( 1 + 8 T + 80 T^{2} + 392 T^{3} + 2143 T^{4} + 6664 T^{5} + 23120 T^{6} + 39304 T^{7} + 83521 T^{8} \))(\( 1 + 4 T + 8 T^{2} - 104 T^{3} - 497 T^{4} - 1768 T^{5} + 2312 T^{6} + 19652 T^{7} + 83521 T^{8} \))(\( 1 - 4 T + 8 T^{2} + 104 T^{3} - 497 T^{4} + 1768 T^{5} + 2312 T^{6} - 19652 T^{7} + 83521 T^{8} \))(\( 1 + 16 T + 80 T^{2} - 8 T^{3} - 1121 T^{4} - 136 T^{5} + 23120 T^{6} + 78608 T^{7} + 83521 T^{8} \))(\( 1 + 8 T + 20 T^{2} - 52 T^{3} - 545 T^{4} - 884 T^{5} + 5780 T^{6} + 39304 T^{7} + 83521 T^{8} \))(\( 1 + 4 T + 20 T^{2} + 100 T^{3} + 271 T^{4} + 1700 T^{5} + 5780 T^{6} + 19652 T^{7} + 83521 T^{8} \))(\( 1 + 4 T + 8 T^{2} - 104 T^{3} - 497 T^{4} - 1768 T^{5} + 2312 T^{6} + 19652 T^{7} + 83521 T^{8} \))(\( 1 + 16 T + 80 T^{2} - 8 T^{3} - 1121 T^{4} - 136 T^{5} + 23120 T^{6} + 78608 T^{7} + 83521 T^{8} \))(\( 1 - 4 T + 8 T^{2} + 104 T^{3} - 497 T^{4} + 1768 T^{5} + 2312 T^{6} - 19652 T^{7} + 83521 T^{8} \))(\( 1 + 8 T + 80 T^{2} + 392 T^{3} + 2143 T^{4} + 6664 T^{5} + 23120 T^{6} + 39304 T^{7} + 83521 T^{8} \))
$19$ (\( 1 + 8 T + 19 T^{2} \))(\( 1 - 2 T + 19 T^{2} \))(\( 1 + 30 T^{2} + 361 T^{4} \))(\( 1 - 4 T + 22 T^{2} - 76 T^{3} + 361 T^{4} \))(\( 1 + 6 T + 30 T^{2} + 114 T^{3} + 361 T^{4} \))(\( 1 + 30 T^{2} + 361 T^{4} \))(\( 1 - 28 T^{2} + 486 T^{4} - 10108 T^{6} + 130321 T^{8} \))(\( 1 - 28 T^{2} + 486 T^{4} - 10108 T^{6} + 130321 T^{8} \))(\( ( 1 + 19 T^{2} )^{2} \))(\( ( 1 + 19 T^{2} )^{2} \))(\( ( 1 - 6 T + 19 T^{2} )^{2} \))(\( ( 1 + 19 T^{2} )^{2} \))(\( ( 1 + 6 T + 53 T^{2} + 188 T^{3} + 1007 T^{4} + 2166 T^{5} + 6859 T^{6} )^{2} \))(\( ( 1 - 4 T^{2} + 510 T^{4} - 1444 T^{6} + 130321 T^{8} )^{4} \))(\( ( 1 + 2 T + 19 T^{2} )^{2} \))(\( ( 1 - 2 T + 19 T^{2} )^{2} \))(\( ( 1 + 9 T + 75 T^{2} + 394 T^{3} + 1947 T^{4} + 7486 T^{5} + 27075 T^{6} + 61731 T^{7} + 130321 T^{8} )^{2} \))(\( ( 1 - 3 T + 45 T^{2} - 168 T^{3} + 989 T^{4} - 3192 T^{5} + 16245 T^{6} - 20577 T^{7} + 130321 T^{8} )^{2} \))(\( ( 1 - 15 T + 143 T^{2} - 992 T^{3} + 5604 T^{4} - 27269 T^{5} + 123824 T^{6} - 518111 T^{7} + 2023044 T^{8} - 6804128 T^{9} + 18635903 T^{10} - 37141485 T^{11} + 47045881 T^{12} )^{2} \))(\( ( 1 - 3 T + 51 T^{2} - 156 T^{3} + 1837 T^{4} - 5706 T^{5} + 46629 T^{6} - 140085 T^{7} + 980820 T^{8} - 2661615 T^{9} + 16833069 T^{10} - 39137454 T^{11} + 239399677 T^{12} - 386271444 T^{13} + 2399339931 T^{14} - 2681615217 T^{15} + 16983563041 T^{16} )^{2} \))(\( ( 1 - 7 T + 19 T^{2} )( 1 + 8 T + 19 T^{2} ) \))(\( 1 + 5 T + 6 T^{2} + 95 T^{3} + 361 T^{4} \))(\( 1 + 2 T - 23 T^{2} - 22 T^{3} + 292 T^{4} - 418 T^{5} - 8303 T^{6} + 13718 T^{7} + 130321 T^{8} \))(\( 1 - 2 T - 3 T^{2} + 62 T^{3} - 388 T^{4} + 1178 T^{5} - 1083 T^{6} - 13718 T^{7} + 130321 T^{8} \))(\( 1 - 30 T^{2} + 539 T^{4} - 10830 T^{6} + 130321 T^{8} \))(\( 1 - T - 15 T^{2} + 146 T^{3} - 129 T^{4} - 1049 T^{5} + 15054 T^{6} - 19931 T^{7} - 46569 T^{8} + 1001414 T^{9} - 1954815 T^{10} - 2476099 T^{11} + 47045881 T^{12} \))(\( 1 - T - 15 T^{2} + 146 T^{3} - 129 T^{4} - 1049 T^{5} + 15054 T^{6} - 19931 T^{7} - 46569 T^{8} + 1001414 T^{9} - 1954815 T^{10} - 2476099 T^{11} + 47045881 T^{12} \))(\( 1 - 25 T^{2} + 264 T^{4} - 9025 T^{6} + 130321 T^{8} \))(\( 1 - 25 T^{2} + 264 T^{4} - 9025 T^{6} + 130321 T^{8} \))(\( 1 - 84 T^{2} + 4642 T^{4} - 179332 T^{6} + 5560223 T^{8} - 138383432 T^{10} + 2894445596 T^{12} - 49956418952 T^{14} + 724613821583 T^{16} - 8436831931492 T^{18} + 78837699636322 T^{20} - 515009565655284 T^{22} + 2213314919066161 T^{24} \))(\( 1 - 84 T^{2} + 4642 T^{4} - 179332 T^{6} + 5560223 T^{8} - 138383432 T^{10} + 2894445596 T^{12} - 49956418952 T^{14} + 724613821583 T^{16} - 8436831931492 T^{18} + 78837699636322 T^{20} - 515009565655284 T^{22} + 2213314919066161 T^{24} \))(\( ( 1 + 28 T^{2} + 361 T^{4} )^{2} \))(\( ( 1 + 28 T^{2} + 361 T^{4} )^{2} \))(\( ( 1 + 28 T^{2} + 361 T^{4} )^{2} \))(\( ( 1 + 28 T^{2} + 361 T^{4} )^{4} \))(\( ( 1 + 48 T^{2} + 1524 T^{4} + 40016 T^{6} + 818246 T^{8} + 14445776 T^{10} + 198609204 T^{12} + 2258202288 T^{14} + 16983563041 T^{16} )^{2} \))(\( ( 1 + 6 T + 17 T^{2} + 114 T^{3} + 361 T^{4} )^{2} \))(\( 1 + 19 T^{2} + 361 T^{4} \))(\( ( 1 - 19 T^{2} )^{8} \))(\( ( 1 - 3 T + 22 T^{2} - 57 T^{3} + 361 T^{4} )^{4} \))(\( 1 + 19 T^{2} + 361 T^{4} \))(\( ( 1 - 6 T + 17 T^{2} - 114 T^{3} + 361 T^{4} )^{2} \))(\( ( 1 + 12 T + 30 T^{2} - 80 T^{3} + 689 T^{4} + 9436 T^{5} + 28846 T^{6} + 59944 T^{7} + 291332 T^{8} + 1138936 T^{9} + 10413406 T^{10} + 64721524 T^{11} + 89791169 T^{12} - 198087920 T^{13} + 1411376430 T^{14} + 10726460868 T^{15} + 16983563041 T^{16} )^{2} \))(\( ( 1 - 4 T - 19 T^{2} + 12 T^{3} + 560 T^{4} + 228 T^{5} - 6859 T^{6} - 27436 T^{7} + 130321 T^{8} )^{4} \))(\( ( 1 + 6 T + 19 T^{2} )^{4} \))(\( ( 1 + 6 T + 19 T^{2} )^{4} \))(\( 1 - 6 T + 75 T^{2} - 378 T^{3} + 2703 T^{4} - 15096 T^{5} + 85196 T^{6} - 494928 T^{7} + 2381289 T^{8} - 12436578 T^{9} + 56967225 T^{10} - 267312150 T^{11} + 1188448446 T^{12} - 5078930850 T^{13} + 20565168225 T^{14} - 85302488502 T^{15} + 310331963769 T^{16} - 1225490725872 T^{17} + 4008120877676 T^{18} - 13493887771944 T^{19} + 45906570899823 T^{20} - 121975949760462 T^{21} + 459829969335075 T^{22} - 698941553389314 T^{23} + 2213314919066161 T^{24} \))(\( 1 - 6 T + 75 T^{2} - 378 T^{3} + 2703 T^{4} - 15096 T^{5} + 85196 T^{6} - 494928 T^{7} + 2381289 T^{8} - 12436578 T^{9} + 56967225 T^{10} - 267312150 T^{11} + 1188448446 T^{12} - 5078930850 T^{13} + 20565168225 T^{14} - 85302488502 T^{15} + 310331963769 T^{16} - 1225490725872 T^{17} + 4008120877676 T^{18} - 13493887771944 T^{19} + 45906570899823 T^{20} - 121975949760462 T^{21} + 459829969335075 T^{22} - 698941553389314 T^{23} + 2213314919066161 T^{24} \))(\( ( 1 - 8 T + 19 T^{2} )( 1 + 8 T + 19 T^{2} ) \))(\( ( 1 - 8 T + 19 T^{2} )( 1 + 8 T + 19 T^{2} ) \))(\( ( 1 - 8 T + 19 T^{2} )( 1 + 8 T + 19 T^{2} ) \))(\( ( 1 - 8 T + 19 T^{2} )( 1 + 8 T + 19 T^{2} ) \))(\( 1 + 10 T^{2} + 361 T^{4} \))(\( ( 1 - 8 T + 19 T^{2} )( 1 + 8 T + 19 T^{2} ) \))(\( ( 1 - 8 T + 19 T^{2} )( 1 + 8 T + 19 T^{2} ) \))(\( 1 + 10 T^{2} + 361 T^{4} \))(\( ( 1 + 6 T + 17 T^{2} + 114 T^{3} + 361 T^{4} )^{2} \))(\( 1 + 2 T - 32 T^{2} - 4 T^{3} + 859 T^{4} - 76 T^{5} - 11552 T^{6} + 13718 T^{7} + 130321 T^{8} \))(\( 1 + 10 T + 40 T^{2} + 220 T^{3} + 1339 T^{4} + 4180 T^{5} + 14440 T^{6} + 68590 T^{7} + 130321 T^{8} \))(\( 1 - 10 T + 40 T^{2} - 220 T^{3} + 1339 T^{4} - 4180 T^{5} + 14440 T^{6} - 68590 T^{7} + 130321 T^{8} \))(\( 1 - 2 T - 32 T^{2} + 4 T^{3} + 859 T^{4} + 76 T^{5} - 11552 T^{6} - 13718 T^{7} + 130321 T^{8} \))(\( 1 + 2 T - 32 T^{2} - 4 T^{3} + 859 T^{4} - 76 T^{5} - 11552 T^{6} + 13718 T^{7} + 130321 T^{8} \))(\( 1 - 2 T - 32 T^{2} + 4 T^{3} + 859 T^{4} + 76 T^{5} - 11552 T^{6} - 13718 T^{7} + 130321 T^{8} \))(\( 1 + 10 T + 40 T^{2} + 220 T^{3} + 1339 T^{4} + 4180 T^{5} + 14440 T^{6} + 68590 T^{7} + 130321 T^{8} \))(\( 1 - 2 T - 32 T^{2} + 4 T^{3} + 859 T^{4} + 76 T^{5} - 11552 T^{6} - 13718 T^{7} + 130321 T^{8} \))(\( 1 - 10 T + 40 T^{2} - 220 T^{3} + 1339 T^{4} - 4180 T^{5} + 14440 T^{6} - 68590 T^{7} + 130321 T^{8} \))(\( 1 + 2 T - 32 T^{2} - 4 T^{3} + 859 T^{4} - 76 T^{5} - 11552 T^{6} + 13718 T^{7} + 130321 T^{8} \))
$23$ (\( 1 + 8 T + 23 T^{2} \))(\( 1 - 6 T + 23 T^{2} \))(\( 1 + 4 T + 18 T^{2} + 92 T^{3} + 529 T^{4} \))(\( ( 1 + 4 T + 23 T^{2} )^{2} \))(\( 1 - 2 T + 30 T^{2} - 46 T^{3} + 529 T^{4} \))(\( 1 - 4 T + 18 T^{2} - 92 T^{3} + 529 T^{4} \))(\( ( 1 - 44 T^{2} + 529 T^{4} )^{2} \))(\( ( 1 - 44 T^{2} + 529 T^{4} )^{2} \))(\( 1 - 10 T^{2} + 529 T^{4} \))(\( ( 1 - 23 T^{2} )^{2} \))(\( ( 1 - 23 T^{2} )^{2} \))(\( ( 1 - 23 T^{2} )^{2} \))(\( 1 - 106 T^{2} + 5183 T^{4} - 150348 T^{6} + 2741807 T^{8} - 29663146 T^{10} + 148035889 T^{12} \))(\( ( 1 + 56 T^{2} + 1818 T^{4} + 29624 T^{6} + 279841 T^{8} )^{4} \))(\( 1 + 4 T - 7 T^{2} + 92 T^{3} + 529 T^{4} \))(\( 1 + 6 T + 13 T^{2} + 138 T^{3} + 529 T^{4} \))(\( ( 1 - T - 22 T^{2} - 23 T^{3} + 529 T^{4} )^{4} \))(\( 1 - 8 T + 18 T^{2} - 240 T^{3} + 1445 T^{4} - 1872 T^{5} + 33674 T^{6} - 166760 T^{7} + 89244 T^{8} - 3835480 T^{9} + 17813546 T^{10} - 22776624 T^{11} + 404370245 T^{12} - 1544722320 T^{13} + 2664646002 T^{14} - 27238603576 T^{15} + 78310985281 T^{16} \))(\( 1 - 14 T + 34 T^{2} + 44 T^{3} + 2382 T^{4} - 11350 T^{5} - 42548 T^{6} - 846 T^{7} + 1532858 T^{8} + 1867708 T^{9} - 19984074 T^{10} - 41596486 T^{11} + 327972422 T^{12} - 956719178 T^{13} - 10571575146 T^{14} + 22724403236 T^{15} + 428956515578 T^{16} - 5445146178 T^{17} - 6298631005172 T^{18} - 38644768823450 T^{19} + 186536766939342 T^{20} + 79250717104372 T^{21} + 1408501381264066 T^{22} - 13339336610794978 T^{23} + 21914624432020321 T^{24} \))(\( 1 - 8 T - 56 T^{2} + 636 T^{3} + 781 T^{4} - 20716 T^{5} + 6724 T^{6} + 401256 T^{7} - 165759 T^{8} - 5155168 T^{9} - 11298644 T^{10} + 13905856 T^{11} + 907093574 T^{12} + 431304176 T^{13} - 30428900436 T^{14} - 606821352 T^{15} + 718124779886 T^{16} - 13956891096 T^{17} - 16096888330644 T^{18} + 5247677909392 T^{19} + 253841972841734 T^{20} + 89502858924608 T^{21} - 1672604809034516 T^{22} - 17552447189960096 T^{23} - 12980750609193279 T^{24} + 722723312327997528 T^{25} + 278551861400575876 T^{26} - 19738406944944911732 T^{27} + 17115321681407870701 T^{28} + \)\(32\!\cdots\!88\)\( T^{29} - \)\(64\!\cdots\!04\)\( T^{30} - \)\(21\!\cdots\!56\)\( T^{31} + \)\(61\!\cdots\!61\)\( T^{32} \))(\( 1 + 4 T - 7 T^{2} + 92 T^{3} + 529 T^{4} \))(\( 1 - 6 T + 13 T^{2} - 138 T^{3} + 529 T^{4} \))(\( 1 + 6 T - 16 T^{2} + 36 T^{3} + 1347 T^{4} + 828 T^{5} - 8464 T^{6} + 73002 T^{7} + 279841 T^{8} \))(\( 1 + 4 T - 16 T^{2} - 56 T^{3} + 127 T^{4} - 1288 T^{5} - 8464 T^{6} + 48668 T^{7} + 279841 T^{8} \))(\( 1 + 2 T - 41 T^{2} - 2 T^{3} + 1404 T^{4} - 46 T^{5} - 21689 T^{6} + 24334 T^{7} + 279841 T^{8} \))(\( 1 + 10 T + 47 T^{2} + 126 T^{3} - 430 T^{4} - 8384 T^{5} - 52369 T^{6} - 192832 T^{7} - 227470 T^{8} + 1533042 T^{9} + 13152527 T^{10} + 64363430 T^{11} + 148035889 T^{12} \))(\( 1 - 10 T + 47 T^{2} - 126 T^{3} - 430 T^{4} + 8384 T^{5} - 52369 T^{6} + 192832 T^{7} - 227470 T^{8} - 1533042 T^{9} + 13152527 T^{10} - 64363430 T^{11} + 148035889 T^{12} \))(\( ( 1 - 4 T - 2 T^{2} - 92 T^{3} + 529 T^{4} )^{2} \))(\( 1 + 4 T + 18 T^{2} - 192 T^{3} - 893 T^{4} - 4416 T^{5} + 9522 T^{6} + 48668 T^{7} + 279841 T^{8} \))(\( 1 - 8 T + 32 T^{2} - 184 T^{3} + 518 T^{4} + 1752 T^{5} - 13664 T^{6} + 145640 T^{7} - 745937 T^{8} - 382288 T^{9} + 8743232 T^{10} - 77776560 T^{11} + 600339476 T^{12} - 1788860880 T^{13} + 4625169728 T^{14} - 4651298096 T^{15} - 208743756017 T^{16} + 937388994520 T^{17} - 2022762387296 T^{18} + 5965254183144 T^{19} + 40565090375558 T^{20} - 331412089709192 T^{21} + 1325648358836768 T^{22} - 7622478063311416 T^{23} + 21914624432020321 T^{24} \))(\( 1 + 8 T + 32 T^{2} + 184 T^{3} + 518 T^{4} - 1752 T^{5} - 13664 T^{6} - 145640 T^{7} - 745937 T^{8} + 382288 T^{9} + 8743232 T^{10} + 77776560 T^{11} + 600339476 T^{12} + 1788860880 T^{13} + 4625169728 T^{14} + 4651298096 T^{15} - 208743756017 T^{16} - 937388994520 T^{17} - 2022762387296 T^{18} - 5965254183144 T^{19} + 40565090375558 T^{20} + 331412089709192 T^{21} + 1325648358836768 T^{22} + 7622478063311416 T^{23} + 21914624432020321 T^{24} \))(\( ( 1 - 12 T + 72 T^{2} - 276 T^{3} + 529 T^{4} )( 1 + 12 T + 72 T^{2} + 276 T^{3} + 529 T^{4} ) \))(\( ( 1 - 12 T + 72 T^{2} - 276 T^{3} + 529 T^{4} )( 1 + 12 T + 72 T^{2} + 276 T^{3} + 529 T^{4} ) \))(\( ( 1 + 4 T + 8 T^{2} + 92 T^{3} + 529 T^{4} )^{2} \))(\( ( 1 + 706 T^{4} + 279841 T^{8} )^{2} \))(\( ( 1 - 20 T + 200 T^{2} - 1516 T^{3} + 10388 T^{4} - 65340 T^{5} + 378328 T^{6} - 2076676 T^{7} + 10539814 T^{8} - 47763548 T^{9} + 200135512 T^{10} - 794991780 T^{11} + 2906988308 T^{12} - 9757495988 T^{13} + 29607177800 T^{14} - 68096508940 T^{15} + 78310985281 T^{16} )^{2} \))(\( 1 + 37 T^{2} + 840 T^{4} + 19573 T^{6} + 279841 T^{8} \))(\( 1 + 9 T + 50 T^{2} + 207 T^{3} + 529 T^{4} \))(\( ( 1 - 23 T^{2} + 529 T^{4} )^{4} \))(\( ( 1 - 4 T^{2} - 513 T^{4} - 2116 T^{6} + 279841 T^{8} )^{2} \))(\( 1 - 19 T^{2} + 529 T^{4} \))(\( 1 + 37 T^{2} + 840 T^{4} + 19573 T^{6} + 279841 T^{8} \))(\( 1 + 20 T^{2} - 1512 T^{4} - 18448 T^{6} + 1612902 T^{8} + 10149224 T^{10} - 1248424544 T^{12} - 1840459676 T^{14} + 770565238915 T^{16} - 973603168604 T^{18} - 349360372817504 T^{20} + 1502449397500136 T^{22} + 126307944781695462 T^{24} - 764236278869396752 T^{26} - 33134912141214725352 T^{28} + \)\(23\!\cdots\!80\)\( T^{30} + \)\(61\!\cdots\!61\)\( T^{32} \))(\( ( 1 + 54 T^{2} + 1472 T^{4} + 20844 T^{6} + 262731 T^{8} + 11026476 T^{10} + 411925952 T^{12} + 7993938006 T^{14} + 78310985281 T^{16} )^{2} \))(\( ( 1 + 23 T^{2} + 529 T^{4} )^{2} \))(\( 1 + 10 T^{2} - 429 T^{4} + 5290 T^{6} + 279841 T^{8} \))(\( 1 - 12 T + 110 T^{2} - 744 T^{3} + 3947 T^{4} - 16104 T^{5} + 39450 T^{6} + 32328 T^{7} - 1232708 T^{8} + 9040500 T^{9} - 50848868 T^{10} + 256937364 T^{11} - 1217123567 T^{12} + 5909559372 T^{13} - 26899051172 T^{14} + 109995763500 T^{15} - 344962239428 T^{16} + 208074096504 T^{17} + 5840015821050 T^{18} - 54831308998488 T^{19} + 309093458904107 T^{20} - 1340057580128472 T^{21} + 4556916233501390 T^{22} - 11433717094967124 T^{23} + 21914624432020321 T^{24} \))(\( 1 + 12 T + 110 T^{2} + 744 T^{3} + 3947 T^{4} + 16104 T^{5} + 39450 T^{6} - 32328 T^{7} - 1232708 T^{8} - 9040500 T^{9} - 50848868 T^{10} - 256937364 T^{11} - 1217123567 T^{12} - 5909559372 T^{13} - 26899051172 T^{14} - 109995763500 T^{15} - 344962239428 T^{16} - 208074096504 T^{17} + 5840015821050 T^{18} + 54831308998488 T^{19} + 309093458904107 T^{20} + 1340057580128472 T^{21} + 4556916233501390 T^{22} + 11433717094967124 T^{23} + 21914624432020321 T^{24} \))(\( 1 + 15 T + 98 T^{2} + 345 T^{3} + 529 T^{4} \))(\( 1 + 6 T + 35 T^{2} + 138 T^{3} + 529 T^{4} \))(\( 1 + 6 T + 35 T^{2} + 138 T^{3} + 529 T^{4} \))(\( 1 + 15 T + 98 T^{2} + 345 T^{3} + 529 T^{4} \))(\( 1 - 6 T + 35 T^{2} - 138 T^{3} + 529 T^{4} \))(\( 1 + 12 T + 71 T^{2} + 276 T^{3} + 529 T^{4} \))(\( 1 + 12 T + 71 T^{2} + 276 T^{3} + 529 T^{4} \))(\( 1 - 6 T + 35 T^{2} - 138 T^{3} + 529 T^{4} \))(\( ( 1 - 37 T^{2} + 529 T^{4} )^{2} \))(\( 1 + 14 T + 74 T^{2} + 128 T^{3} - 137 T^{4} + 2944 T^{5} + 39146 T^{6} + 170338 T^{7} + 279841 T^{8} \))(\( 1 + 8 T + 17 T^{2} - 208 T^{3} - 1604 T^{4} - 4784 T^{5} + 8993 T^{6} + 97336 T^{7} + 279841 T^{8} \))(\( 1 + 2 T + 17 T^{2} - 142 T^{3} - 224 T^{4} - 3266 T^{5} + 8993 T^{6} + 24334 T^{7} + 279841 T^{8} \))(\( 1 - 10 T + 74 T^{2} - 400 T^{3} + 2071 T^{4} - 9200 T^{5} + 39146 T^{6} - 121670 T^{7} + 279841 T^{8} \))(\( 1 + 14 T + 53 T^{2} - 226 T^{3} - 2552 T^{4} - 5198 T^{5} + 28037 T^{6} + 170338 T^{7} + 279841 T^{8} \))(\( 1 - 4 T + 53 T^{2} - 244 T^{3} + 1588 T^{4} - 5612 T^{5} + 28037 T^{6} - 48668 T^{7} + 279841 T^{8} \))(\( 1 - 10 T + 50 T^{2} - 340 T^{3} + 2191 T^{4} - 7820 T^{5} + 26450 T^{6} - 121670 T^{7} + 279841 T^{8} \))(\( 1 - 4 T + 8 T^{2} - 4 T^{3} - 482 T^{4} - 92 T^{5} + 4232 T^{6} - 48668 T^{7} + 279841 T^{8} \))(\( 1 - 10 T + 50 T^{2} - 340 T^{3} + 2191 T^{4} - 7820 T^{5} + 26450 T^{6} - 121670 T^{7} + 279841 T^{8} \))(\( 1 - 4 T + 8 T^{2} - 4 T^{3} - 482 T^{4} - 92 T^{5} + 4232 T^{6} - 48668 T^{7} + 279841 T^{8} \))
$29$ (\( 1 - 2 T + 29 T^{2} \))(\( 1 + 3 T + 29 T^{2} \))(\( ( 1 + 8 T + 29 T^{2} )^{2} \))(\( ( 1 - 2 T + 29 T^{2} )^{2} \))(\( 1 + T + 20 T^{2} + 29 T^{3} + 841 T^{4} \))(\( ( 1 - 8 T + 29 T^{2} )^{2} \))(\( ( 1 - 56 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 - 56 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 + 5 T + 29 T^{2} )^{2} \))(\( ( 1 - 8 T + 29 T^{2} )^{2} \))(\( ( 1 + 2 T + 29 T^{2} )^{2} \))(\( ( 1 + 8 T + 29 T^{2} )^{2} \))(\( ( 1 - 2 T + 35 T^{2} - 76 T^{3} + 1015 T^{4} - 1682 T^{5} + 24389 T^{6} )^{2} \))(\( ( 1 - 16 T^{2} + 1362 T^{4} - 13456 T^{6} + 707281 T^{8} )^{4} \))(\( 1 - T - 28 T^{2} - 29 T^{3} + 841 T^{4} \))(\( 1 - 9 T + 52 T^{2} - 261 T^{3} + 841 T^{4} \))(\( 1 - 15 T + 39 T^{2} + 24 T^{3} + 4348 T^{4} - 28215 T^{5} - 20142 T^{6} - 397710 T^{7} + 7357161 T^{8} - 11533590 T^{9} - 16939422 T^{10} - 688135635 T^{11} + 3075257788 T^{12} + 492267576 T^{13} + 23198109519 T^{14} - 258748144635 T^{15} + 500246412961 T^{16} \))(\( 1 + T - 61 T^{2} + 156 T^{3} + 1796 T^{4} - 8467 T^{5} - 22034 T^{6} + 147078 T^{7} + 433657 T^{8} + 4265262 T^{9} - 18530594 T^{10} - 206501663 T^{11} + 1270276676 T^{12} + 3199739244 T^{13} - 36284222581 T^{14} + 17249876309 T^{15} + 500246412961 T^{16} \))(\( 1 + 13 T - 59 T^{2} - 922 T^{3} + 7941 T^{4} + 68816 T^{5} - 482663 T^{6} - 2453358 T^{7} + 29192036 T^{8} + 77970550 T^{9} - 1143760647 T^{10} - 657761371 T^{11} + 39749720555 T^{12} - 19075079759 T^{13} - 961902704127 T^{14} + 1901623743950 T^{15} + 20646972414116 T^{16} - 50321191488342 T^{17} - 287099208583823 T^{18} + 1187067488080144 T^{19} + 3972456765323301 T^{20} - 13375588589751218 T^{21} - 24821726764711859 T^{22} + 158606626954175777 T^{23} + 353814783205469041 T^{24} \))(\( 1 + 19 T + 128 T^{2} + 803 T^{3} + 9164 T^{4} + 53572 T^{5} + 135245 T^{6} + 1457003 T^{7} + 11306929 T^{8} + 8567345 T^{9} + 77536775 T^{10} + 2101449919 T^{11} + 3528685908 T^{12} - 3024827910 T^{13} + 382687393437 T^{14} + 1623090782861 T^{15} - 344149034518 T^{16} + 47069632702969 T^{17} + 321840097880517 T^{18} - 73772527896990 T^{19} + 2495772497696148 T^{20} + 43103152404646931 T^{21} + 46120682005129775 T^{22} + 147785641546529605 T^{23} + 5656250673854706769 T^{24} + 21136955208279060607 T^{25} + 56898549767685684245 T^{26} + \)\(65\!\cdots\!88\)\( T^{27} + \)\(32\!\cdots\!24\)\( T^{28} + \)\(82\!\cdots\!67\)\( T^{29} + \)\(38\!\cdots\!68\)\( T^{30} + \)\(16\!\cdots\!31\)\( T^{31} + \)\(25\!\cdots\!21\)\( T^{32} \))(\( ( 1 - 8 T + 29 T^{2} )^{2} \))(\( ( 1 - 6 T + 29 T^{2} )^{2} \))(\( ( 1 + 2 T + 32 T^{2} + 58 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 + 8 T + 56 T^{2} + 232 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 - T + 29 T^{2} )^{4} \))(\( ( 1 - 4 T + 73 T^{2} - 178 T^{3} + 2117 T^{4} - 3364 T^{5} + 24389 T^{6} )^{2} \))(\( ( 1 + 4 T + 73 T^{2} + 178 T^{3} + 2117 T^{4} + 3364 T^{5} + 24389 T^{6} )^{2} \))(\( 1 + 2 T - 3 T^{2} - 102 T^{3} - 908 T^{4} - 2958 T^{5} - 2523 T^{6} + 48778 T^{7} + 707281 T^{8} \))(\( 1 + 2 T - 3 T^{2} - 102 T^{3} - 908 T^{4} - 2958 T^{5} - 2523 T^{6} + 48778 T^{7} + 707281 T^{8} \))(\( ( 1 + 16 T + 216 T^{2} + 1904 T^{3} + 15483 T^{4} + 98368 T^{5} + 589488 T^{6} + 2852672 T^{7} + 13021203 T^{8} + 46436656 T^{9} + 152772696 T^{10} + 328178384 T^{11} + 594823321 T^{12} )^{2} \))(\( ( 1 - 16 T + 216 T^{2} - 1904 T^{3} + 15483 T^{4} - 98368 T^{5} + 589488 T^{6} - 2852672 T^{7} + 13021203 T^{8} - 46436656 T^{9} + 152772696 T^{10} - 328178384 T^{11} + 594823321 T^{12} )^{2} \))(\( ( 1 - 29 T^{2} )^{4} \))(\( ( 1 - 29 T^{2} )^{4} \))(\( ( 1 - 49 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 - 26 T^{2} + 841 T^{4} )^{4} \))(\( ( 1 - 184 T^{2} + 15868 T^{4} - 835400 T^{6} + 29324070 T^{8} - 702571400 T^{10} + 11223134908 T^{12} - 109447491064 T^{14} + 500246412961 T^{16} )^{2} \))(\( ( 1 + 2 T - 25 T^{2} + 58 T^{3} + 841 T^{4} )^{2} \))(\( 1 + 29 T^{2} + 841 T^{4} \))(\( ( 1 - 9 T + 52 T^{2} - 261 T^{3} + 841 T^{4} )^{2}( 1 + 9 T + 52 T^{2} + 261 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 - 56 T^{2} + 841 T^{4} )^{4} \))(\( 1 + 29 T^{2} + 841 T^{4} \))(\( ( 1 - 7 T + 29 T^{2} )^{4} \))(\( ( 1 + 6 T + 78 T^{2} + 332 T^{3} + 2820 T^{4} + 9628 T^{5} + 65598 T^{6} + 146334 T^{7} + 707281 T^{8} )^{4} \))(\( ( 1 + 46 T^{2} + 1364 T^{4} + 38686 T^{6} + 707281 T^{8} )^{4} \))(\( ( 1 - 10 T + 71 T^{2} - 290 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 + 5 T - 4 T^{2} + 145 T^{3} + 841 T^{4} )^{2} \))(\( 1 - 184 T^{2} + 16934 T^{4} - 1029132 T^{6} + 46624399 T^{8} - 1703051756 T^{10} + 52962115192 T^{12} - 1432266526796 T^{14} + 32976551549119 T^{16} - 612151713987372 T^{18} + 8471172757081574 T^{20} - 77410130927236984 T^{22} + 353814783205469041 T^{24} \))(\( 1 - 184 T^{2} + 16934 T^{4} - 1029132 T^{6} + 46624399 T^{8} - 1703051756 T^{10} + 52962115192 T^{12} - 1432266526796 T^{14} + 32976551549119 T^{16} - 612151713987372 T^{18} + 8471172757081574 T^{20} - 77410130927236984 T^{22} + 353814783205469041 T^{24} \))(\( 1 + 3 T + 32 T^{2} + 87 T^{3} + 841 T^{4} \))(\( 1 + 12 T + 77 T^{2} + 348 T^{3} + 841 T^{4} \))(\( 1 + 12 T + 77 T^{2} + 348 T^{3} + 841 T^{4} \))(\( 1 + 3 T + 32 T^{2} + 87 T^{3} + 841 T^{4} \))(\( 1 + 15 T + 104 T^{2} + 435 T^{3} + 841 T^{4} \))(\( 1 - 3 T + 32 T^{2} - 87 T^{3} + 841 T^{4} \))(\( 1 - 3 T + 32 T^{2} - 87 T^{3} + 841 T^{4} \))(\( 1 + 15 T + 104 T^{2} + 435 T^{3} + 841 T^{4} \))(\( ( 1 + 2 T - 25 T^{2} + 58 T^{3} + 841 T^{4} )^{2} \))(\( 1 - 24 T + 289 T^{2} - 2328 T^{3} + 14136 T^{4} - 67512 T^{5} + 243049 T^{6} - 585336 T^{7} + 707281 T^{8} \))(\( ( 1 - 12 T + 77 T^{2} - 348 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 + 12 T + 77 T^{2} + 348 T^{3} + 841 T^{4} )^{2} \))(\( 1 + 24 T + 289 T^{2} + 2328 T^{3} + 14136 T^{4} + 67512 T^{5} + 243049 T^{6} + 585336 T^{7} + 707281 T^{8} \))(\( ( 1 - 49 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 - 49 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 + 12 T + 77 T^{2} + 348 T^{3} + 841 T^{4} )^{2} \))(\( 1 - 24 T + 289 T^{2} - 2328 T^{3} + 14136 T^{4} - 67512 T^{5} + 243049 T^{6} - 585336 T^{7} + 707281 T^{8} \))(\( ( 1 - 12 T + 77 T^{2} - 348 T^{3} + 841 T^{4} )^{2} \))(\( 1 + 24 T + 289 T^{2} + 2328 T^{3} + 14136 T^{4} + 67512 T^{5} + 243049 T^{6} + 585336 T^{7} + 707281 T^{8} \))
$31$ (\( 1 - 4 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 - 10 T^{2} + 961 T^{4} \))(\( 1 - 12 T + 78 T^{2} - 372 T^{3} + 961 T^{4} \))(\( ( 1 + 31 T^{2} )^{2} \))(\( 1 - 10 T^{2} + 961 T^{4} \))(\( 1 - 76 T^{2} + 2934 T^{4} - 73036 T^{6} + 923521 T^{8} \))(\( 1 - 76 T^{2} + 2934 T^{4} - 73036 T^{6} + 923521 T^{8} \))(\( ( 1 - 2 T + 31 T^{2} )^{2} \))(\( ( 1 + 4 T + 31 T^{2} )^{2} \))(\( ( 1 + 10 T + 31 T^{2} )^{2} \))(\( ( 1 + 4 T + 31 T^{2} )^{2} \))(\( ( 1 - 2 T + 41 T^{2} + 60 T^{3} + 1271 T^{4} - 1922 T^{5} + 29791 T^{6} )^{2} \))(\( ( 1 - 52 T^{2} + 1422 T^{4} - 49972 T^{6} + 923521 T^{8} )^{4} \))(\( 1 + 10 T + 69 T^{2} + 310 T^{3} + 961 T^{4} \))(\( ( 1 - 11 T + 31 T^{2} )( 1 + 7 T + 31 T^{2} ) \))(\( 1 - 16 T + 64 T^{2} - 106 T^{3} + 3435 T^{4} - 20277 T^{5} - 29847 T^{6} - 161799 T^{7} + 4834609 T^{8} - 5015769 T^{9} - 28682967 T^{10} - 604072107 T^{11} + 3172294635 T^{12} - 3034690006 T^{13} + 56800235584 T^{14} - 440201825776 T^{15} + 852891037441 T^{16} \))(\( 1 - 94 T^{2} - 90 T^{3} + 4885 T^{4} + 5625 T^{5} - 188701 T^{6} - 84465 T^{7} + 6132709 T^{8} - 2618415 T^{9} - 181341661 T^{10} + 167574375 T^{11} + 4511400085 T^{12} - 2576623590 T^{13} - 83425346014 T^{14} + 852891037441 T^{16} \))(\( 1 + 10 T - 32 T^{2} + 202 T^{3} + 8390 T^{4} + 1445 T^{5} - 77485 T^{6} + 2882135 T^{7} + 6359417 T^{8} - 43083374 T^{9} + 605642146 T^{10} + 2584009420 T^{11} - 10106229799 T^{12} + 80104292020 T^{13} + 582022102306 T^{14} - 1283496794834 T^{15} + 5873055147257 T^{16} + 82513078117385 T^{17} - 68768222722285 T^{18} + 39755727390395 T^{19} + 7155755804129990 T^{20} + 5340803676455542 T^{21} - 26228105183385632 T^{22} + 254084768964048310 T^{23} + 787662783788549761 T^{24} \))(\( 1 - 140 T^{2} + 126 T^{3} + 9063 T^{4} - 13239 T^{5} - 402475 T^{6} + 353781 T^{7} + 16648256 T^{8} + 3630141 T^{9} - 737222427 T^{10} - 31707297 T^{11} + 29744064802 T^{12} - 15980009589 T^{13} - 962711725271 T^{14} + 358072466157 T^{15} + 28652584678461 T^{16} + 11100246450867 T^{17} - 925165967985431 T^{18} - 476060465665899 T^{19} + 27469268470007842 T^{20} - 907752993614847 T^{21} - 654287617678253787 T^{22} + 99874668501519651 T^{23} + 14199148331423352896 T^{24} + 9353835967624347051 T^{25} - \)\(32\!\cdots\!75\)\( T^{26} - \)\(33\!\cdots\!09\)\( T^{27} + \)\(71\!\cdots\!43\)\( T^{28} + \)\(30\!\cdots\!66\)\( T^{29} - \)\(10\!\cdots\!40\)\( T^{30} + \)\(72\!\cdots\!81\)\( T^{32} \))(\( 1 + T - 30 T^{2} + 31 T^{3} + 961 T^{4} \))(\( 1 + 5 T - 6 T^{2} + 155 T^{3} + 961 T^{4} \))(\( 1 + 6 T - 23 T^{2} - 18 T^{3} + 1404 T^{4} - 558 T^{5} - 22103 T^{6} + 178746 T^{7} + 923521 T^{8} \))(\( 1 - 6 T - 27 T^{2} - 6 T^{3} + 1892 T^{4} - 186 T^{5} - 25947 T^{6} - 178746 T^{7} + 923521 T^{8} \))(\( ( 1 - 6 T + 5 T^{2} - 186 T^{3} + 961 T^{4} )^{2} \))(\( 1 - T - 23 T^{2} + 298 T^{3} - 329 T^{4} - 3337 T^{5} + 66686 T^{6} - 103447 T^{7} - 316169 T^{8} + 8877718 T^{9} - 21240983 T^{10} - 28629151 T^{11} + 887503681 T^{12} \))(\( 1 - T - 23 T^{2} + 298 T^{3} - 329 T^{4} - 3337 T^{5} + 66686 T^{6} - 103447 T^{7} - 316169 T^{8} + 8877718 T^{9} - 21240983 T^{10} - 28629151 T^{11} + 887503681 T^{12} \))(\( 1 - 49 T^{2} + 1440 T^{4} - 47089 T^{6} + 923521 T^{8} \))(\( ( 1 + 49 T^{2} + 961 T^{4} )^{2} \))(\( ( 1 + 114 T^{2} - 168 T^{3} + 6583 T^{4} - 10856 T^{5} + 253628 T^{6} - 336536 T^{7} + 6326263 T^{8} - 5004888 T^{9} + 105281394 T^{10} + 887503681 T^{12} )^{2} \))(\( ( 1 + 114 T^{2} - 168 T^{3} + 6583 T^{4} - 10856 T^{5} + 253628 T^{6} - 336536 T^{7} + 6326263 T^{8} - 5004888 T^{9} + 105281394 T^{10} + 887503681 T^{12} )^{2} \))(\( ( 1 - 52 T^{2} + 961 T^{4} )^{2} \))(\( ( 1 - 52 T^{2} + 961 T^{4} )^{2} \))(\( ( 1 - 52 T^{2} + 961 T^{4} )^{2} \))(\( ( 1 + 28 T^{2} + 961 T^{4} )^{4} \))(\( ( 1 - 128 T^{2} + 9396 T^{4} - 463040 T^{6} + 16703398 T^{8} - 444981440 T^{10} + 8677403316 T^{12} - 113600471168 T^{14} + 852891037441 T^{16} )^{2} \))(\( ( 1 + 4 T + 31 T^{2} )^{4} \))(\( 1 - 50 T^{2} + 961 T^{4} \))(\( ( 1 + 31 T^{2} + 961 T^{4} )^{4} \))(\( ( 1 - 9 T + 58 T^{2} - 279 T^{3} + 961 T^{4} )^{4} \))(\( 1 + 6 T + 43 T^{2} + 186 T^{3} + 961 T^{4} \))(\( ( 1 + 2 T - 27 T^{2} + 62 T^{3} + 961 T^{4} )^{2} \))(\( ( 1 - 8 T - 54 T^{2} + 352 T^{3} + 3285 T^{4} - 9272 T^{5} - 157694 T^{6} + 60416 T^{7} + 6248764 T^{8} + 1872896 T^{9} - 151543934 T^{10} - 276222152 T^{11} + 3033766485 T^{12} + 10077461152 T^{13} - 47925198774 T^{14} - 220100912888 T^{15} + 852891037441 T^{16} )^{2} \))(\( ( 1 + 5 T - 6 T^{2} + 155 T^{3} + 961 T^{4} )^{8} \))(\( ( 1 + 8 T + 33 T^{2} + 248 T^{3} + 961 T^{4} )^{2} \))(\( ( 1 - 11 T + 31 T^{2} )^{2}( 1 + 7 T + 31 T^{2} )^{2} \))(\( 1 - 6 T + 75 T^{2} - 378 T^{3} + 2451 T^{4} - 14268 T^{5} + 15464 T^{6} - 69696 T^{7} - 2002827 T^{8} + 11519550 T^{9} - 72958179 T^{10} + 685842102 T^{11} - 2463303858 T^{12} + 21261105162 T^{13} - 70112810019 T^{14} + 343178914050 T^{15} - 1849652793867 T^{16} - 1995337308096 T^{17} + 13724356922984 T^{18} - 392549978135748 T^{19} + 2090435932767891 T^{20} - 9994177176733638 T^{21} + 61472121523560075 T^{22} - 152450861378428986 T^{23} + 787662783788549761 T^{24} \))(\( 1 - 6 T + 75 T^{2} - 378 T^{3} + 2451 T^{4} - 14268 T^{5} + 15464 T^{6} - 69696 T^{7} - 2002827 T^{8} + 11519550 T^{9} - 72958179 T^{10} + 685842102 T^{11} - 2463303858 T^{12} + 21261105162 T^{13} - 70112810019 T^{14} + 343178914050 T^{15} - 1849652793867 T^{16} - 1995337308096 T^{17} + 13724356922984 T^{18} - 392549978135748 T^{19} + 2090435932767891 T^{20} - 9994177176733638 T^{21} + 61472121523560075 T^{22} - 152450861378428986 T^{23} + 787662783788549761 T^{24} \))(\( 1 + 6 T + 43 T^{2} + 186 T^{3} + 961 T^{4} \))(\( 1 - 12 T + 79 T^{2} - 372 T^{3} + 961 T^{4} \))(\( 1 + 12 T + 79 T^{2} + 372 T^{3} + 961 T^{4} \))(\( 1 - 6 T + 43 T^{2} - 186 T^{3} + 961 T^{4} \))(\( 1 - 6 T + 43 T^{2} - 186 T^{3} + 961 T^{4} \))(\( 1 + 6 T + 43 T^{2} + 186 T^{3} + 961 T^{4} \))(\( 1 - 6 T + 43 T^{2} - 186 T^{3} + 961 T^{4} \))(\( 1 + 6 T + 43 T^{2} + 186 T^{3} + 961 T^{4} \))(\( ( 1 - 11 T + 31 T^{2} )^{2}( 1 + 7 T + 31 T^{2} )^{2} \))(\( 1 - 92 T^{2} + 3846 T^{4} - 88412 T^{6} + 923521 T^{8} \))(\( 1 - 20 T^{2} - 678 T^{4} - 19220 T^{6} + 923521 T^{8} \))(\( 1 - 20 T^{2} - 678 T^{4} - 19220 T^{6} + 923521 T^{8} \))(\( 1 - 92 T^{2} + 3846 T^{4} - 88412 T^{6} + 923521 T^{8} \))(\( 1 + 12 T + 106 T^{2} + 696 T^{3} + 3891 T^{4} + 21576 T^{5} + 101866 T^{6} + 357492 T^{7} + 923521 T^{8} \))(\( 1 + 12 T + 106 T^{2} + 696 T^{3} + 3891 T^{4} + 21576 T^{5} + 101866 T^{6} + 357492 T^{7} + 923521 T^{8} \))(\( 1 + 18 T + 172 T^{2} + 1152 T^{3} + 6483 T^{4} + 35712 T^{5} + 165292 T^{6} + 536238 T^{7} + 923521 T^{8} \))(\( 1 + 12 T + 118 T^{2} + 840 T^{3} + 5427 T^{4} + 26040 T^{5} + 113398 T^{6} + 357492 T^{7} + 923521 T^{8} \))(\( 1 + 18 T + 172 T^{2} + 1152 T^{3} + 6483 T^{4} + 35712 T^{5} + 165292 T^{6} + 536238 T^{7} + 923521 T^{8} \))(\( 1 + 12 T + 118 T^{2} + 840 T^{3} + 5427 T^{4} + 26040 T^{5} + 113398 T^{6} + 357492 T^{7} + 923521 T^{8} \))
$37$ (\( 1 + 2 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( ( 1 + 6 T + 37 T^{2} )^{2} \))(\( 1 - 4 T - 2 T^{2} - 148 T^{3} + 1369 T^{4} \))(\( ( 1 - 6 T + 37 T^{2} )^{2} \))(\( ( 1 + 6 T + 37 T^{2} )^{2} \))(\( ( 1 - 4 T + 66 T^{2} - 148 T^{3} + 1369 T^{4} )^{2} \))(\( ( 1 - 4 T + 66 T^{2} - 148 T^{3} + 1369 T^{4} )^{2} \))(\( ( 1 - 12 T + 37 T^{2} )( 1 + 12 T + 37 T^{2} ) \))(\( 1 - 10 T^{2} + 1369 T^{4} \))(\( 1 - 58 T^{2} + 1369 T^{4} \))(\( 1 - 10 T^{2} + 1369 T^{4} \))(\( 1 - 46 T^{2} + 1399 T^{4} - 74788 T^{6} + 1915231 T^{8} - 86211406 T^{10} + 2565726409 T^{12} \))(\( ( 1 - 76 T^{2} + 3318 T^{4} - 104044 T^{6} + 1874161 T^{8} )^{4} \))(\( ( 1 + 2 T + 37 T^{2} )^{2} \))(\( ( 1 + 4 T + 37 T^{2} )^{2} \))(\( ( 1 + 15 T + 213 T^{2} + 1714 T^{3} + 12885 T^{4} + 63418 T^{5} + 291597 T^{6} + 759795 T^{7} + 1874161 T^{8} )^{2} \))(\( ( 1 + 21 T + 289 T^{2} + 2592 T^{3} + 18369 T^{4} + 95904 T^{5} + 395641 T^{6} + 1063713 T^{7} + 1874161 T^{8} )^{2} \))(\( ( 1 - 21 T + 257 T^{2} - 2192 T^{3} + 15138 T^{4} - 92879 T^{5} + 560324 T^{6} - 3436523 T^{7} + 20723922 T^{8} - 111031376 T^{9} + 481659377 T^{10} - 1456223097 T^{11} + 2565726409 T^{12} )^{2} \))(\( ( 1 - 21 T + 401 T^{2} - 5016 T^{3} + 57403 T^{4} - 523584 T^{5} + 4405763 T^{6} - 31274655 T^{7} + 205649488 T^{8} - 1157162235 T^{9} + 6031489547 T^{10} - 26521100352 T^{11} + 107582463883 T^{12} - 347829288312 T^{13} + 1028856290009 T^{14} - 1993569419793 T^{15} + 3512479453921 T^{16} )^{2} \))(\( 1 + 7 T + 12 T^{2} + 259 T^{3} + 1369 T^{4} \))(\( 1 - 7 T + 12 T^{2} - 259 T^{3} + 1369 T^{4} \))(\( 1 + 4 T - 35 T^{2} - 92 T^{3} + 640 T^{4} - 3404 T^{5} - 47915 T^{6} + 202612 T^{7} + 1874161 T^{8} \))(\( 1 - 14 T + 75 T^{2} - 658 T^{3} + 6020 T^{4} - 24346 T^{5} + 102675 T^{6} - 709142 T^{7} + 1874161 T^{8} \))(\( ( 1 - 37 T^{2} + 1369 T^{4} )^{2} \))(\( 1 + 11 T - 5 T^{2} - 224 T^{3} + 2359 T^{4} + 13925 T^{5} - 3730 T^{6} + 515225 T^{7} + 3229471 T^{8} - 11346272 T^{9} - 9370805 T^{10} + 762783527 T^{11} + 2565726409 T^{12} \))(\( 1 + 11 T - 5 T^{2} - 224 T^{3} + 2359 T^{4} + 13925 T^{5} - 3730 T^{6} + 515225 T^{7} + 3229471 T^{8} - 11346272 T^{9} - 9370805 T^{10} + 762783527 T^{11} + 2565726409 T^{12} \))(\( 1 - 61 T^{2} + 2352 T^{4} - 83509 T^{6} + 1874161 T^{8} \))(\( 1 - 61 T^{2} + 2352 T^{4} - 83509 T^{6} + 1874161 T^{8} \))(\( 1 - 4 T + 8 T^{2} - 28 T^{3} + 122 T^{4} - 124 T^{5} - 88 T^{6} + 102780 T^{7} - 827937 T^{8} + 2005016 T^{9} - 4255984 T^{10} + 201457960 T^{11} - 3018818132 T^{12} + 7453944520 T^{13} - 5826442096 T^{14} + 101560075448 T^{15} - 1551687235857 T^{16} + 7127171900460 T^{17} - 225783923992 T^{18} - 11771552764492 T^{19} + 428522493378362 T^{20} - 3638928714262156 T^{21} + 38468674979342792 T^{22} - 711670487117841652 T^{23} + 6582952005840035281 T^{24} \))(\( 1 - 4 T + 8 T^{2} - 28 T^{3} + 122 T^{4} - 124 T^{5} - 88 T^{6} + 102780 T^{7} - 827937 T^{8} + 2005016 T^{9} - 4255984 T^{10} + 201457960 T^{11} - 3018818132 T^{12} + 7453944520 T^{13} - 5826442096 T^{14} + 101560075448 T^{15} - 1551687235857 T^{16} + 7127171900460 T^{17} - 225783923992 T^{18} - 11771552764492 T^{19} + 428522493378362 T^{20} - 3638928714262156 T^{21} + 38468674979342792 T^{22} - 711670487117841652 T^{23} + 6582952005840035281 T^{24} \))(\( ( 1 + 6 T + 18 T^{2} + 222 T^{3} + 1369 T^{4} )^{2} \))(\( ( 1 + 6 T + 18 T^{2} + 222 T^{3} + 1369 T^{4} )^{2} \))(\( ( 1 + 12 T + 72 T^{2} + 444 T^{3} + 1369 T^{4} )^{2} \))(\( ( 1 - 2 T + 2 T^{2} - 74 T^{3} + 1369 T^{4} )^{4} \))(\( ( 1 - 16 T + 128 T^{2} - 944 T^{3} + 8860 T^{4} - 73552 T^{5} + 488320 T^{6} - 3175280 T^{7} + 20212134 T^{8} - 117485360 T^{9} + 668510080 T^{10} - 3725629456 T^{11} + 16605066460 T^{12} - 65460695408 T^{13} + 328412980352 T^{14} - 1518910034128 T^{15} + 3512479453921 T^{16} )^{2} \))(\( 1 + 10 T^{2} - 1269 T^{4} + 13690 T^{6} + 1874161 T^{8} \))(\( 1 - 2 T - 33 T^{2} - 74 T^{3} + 1369 T^{4} \))(\( ( 1 - 37 T^{2} )^{8} \))(\( ( 1 + 53 T^{2} + 1440 T^{4} + 72557 T^{6} + 1874161 T^{8} )^{2} \))(\( 1 - 2 T - 33 T^{2} - 74 T^{3} + 1369 T^{4} \))(\( 1 + 10 T^{2} - 1269 T^{4} + 13690 T^{6} + 1874161 T^{8} \))(\( 1 + 128 T^{2} + 6574 T^{4} + 187656 T^{6} + 5183961 T^{8} + 158877780 T^{10} + 5690568750 T^{12} + 459641012708 T^{14} + 25029766954564 T^{16} + 629248546397252 T^{18} + 10665042019068750 T^{20} + 407636915949292020 T^{22} + 18208556502427761081 T^{24} + \)\(90\!\cdots\!44\)\( T^{26} + \)\(43\!\cdots\!94\)\( T^{28} + \)\(11\!\cdots\!92\)\( T^{30} + \)\(12\!\cdots\!41\)\( T^{32} \))(\( ( 1 + 120 T^{2} + 8237 T^{4} + 411000 T^{6} + 16394808 T^{8} + 562659000 T^{10} + 15437464157 T^{12} + 307887169080 T^{14} + 3512479453921 T^{16} )^{2} \))(\( ( 1 - 10 T^{2} + 1369 T^{4} )^{2} \))(\( ( 1 - 12 T + 37 T^{2} )^{2}( 1 + 12 T + 37 T^{2} )^{2} \))(\( 1 + 10 T - T^{2} + 206 T^{3} + 1893 T^{4} - 19356 T^{5} - 25070 T^{6} - 11384 T^{7} - 4236169 T^{8} + 22256290 T^{9} - 6662617 T^{10} - 355484390 T^{11} + 9259385786 T^{12} - 13152922430 T^{13} - 9121122673 T^{14} + 1127347857370 T^{15} - 7939262729209 T^{16} - 789411606488 T^{17} - 64322761073630 T^{18} - 1837501413786348 T^{19} + 6649123606272453 T^{20} + 26772118397785862 T^{21} - 4808584372417849 T^{22} + 1779176217794604130 T^{23} + 6582952005840035281 T^{24} \))(\( 1 + 10 T - T^{2} + 206 T^{3} + 1893 T^{4} - 19356 T^{5} - 25070 T^{6} - 11384 T^{7} - 4236169 T^{8} + 22256290 T^{9} - 6662617 T^{10} - 355484390 T^{11} + 9259385786 T^{12} - 13152922430 T^{13} - 9121122673 T^{14} + 1127347857370 T^{15} - 7939262729209 T^{16} - 789411606488 T^{17} - 64322761073630 T^{18} - 1837501413786348 T^{19} + 6649123606272453 T^{20} + 26772118397785862 T^{21} - 4808584372417849 T^{22} + 1779176217794604130 T^{23} + 6582952005840035281 T^{24} \))(\( ( 1 + 2 T + 37 T^{2} )^{2} \))(\( ( 1 + 2 T + 37 T^{2} )^{2} \))(\( ( 1 + 2 T + 37 T^{2} )^{2} \))(\( ( 1 + 2 T + 37 T^{2} )^{2} \))(\( ( 1 + 8 T + 37 T^{2} )^{2} \))(\( ( 1 - 10 T + 37 T^{2} )^{2} \))(\( ( 1 - 10 T + 37 T^{2} )^{2} \))(\( ( 1 + 8 T + 37 T^{2} )^{2} \))(\( 1 + 10 T^{2} - 1269 T^{4} + 13690 T^{6} + 1874161 T^{8} \))(\( 1 - 18 T + 90 T^{2} + 408 T^{3} - 6217 T^{4} + 15096 T^{5} + 123210 T^{6} - 911754 T^{7} + 1874161 T^{8} \))(\( 1 + 6 T + 18 T^{2} - 336 T^{3} - 2377 T^{4} - 12432 T^{5} + 24642 T^{6} + 303918 T^{7} + 1874161 T^{8} \))(\( 1 + 6 T + 18 T^{2} - 336 T^{3} - 2377 T^{4} - 12432 T^{5} + 24642 T^{6} + 303918 T^{7} + 1874161 T^{8} \))(\( 1 + 6 T + 90 T^{2} + 552 T^{3} + 4439 T^{4} + 20424 T^{5} + 123210 T^{6} + 303918 T^{7} + 1874161 T^{8} \))(\( 1 + 12 T + 72 T^{2} + 288 T^{3} + 983 T^{4} + 10656 T^{5} + 98568 T^{6} + 607836 T^{7} + 1874161 T^{8} \))(\( 1 - 12 T + 72 T^{2} - 288 T^{3} + 983 T^{4} - 10656 T^{5} + 98568 T^{6} - 607836 T^{7} + 1874161 T^{8} \))(\( 1 + 6 T + 18 T^{2} - 336 T^{3} - 2377 T^{4} - 12432 T^{5} + 24642 T^{6} + 303918 T^{7} + 1874161 T^{8} \))(\( 1 + 6 T + 90 T^{2} + 552 T^{3} + 4439 T^{4} + 20424 T^{5} + 123210 T^{6} + 303918 T^{7} + 1874161 T^{8} \))(\( 1 + 6 T + 18 T^{2} - 336 T^{3} - 2377 T^{4} - 12432 T^{5} + 24642 T^{6} + 303918 T^{7} + 1874161 T^{8} \))(\( 1 - 18 T + 90 T^{2} + 408 T^{3} - 6217 T^{4} + 15096 T^{5} + 123210 T^{6} - 911754 T^{7} + 1874161 T^{8} \))
$41$ (\( 1 - 6 T + 41 T^{2} \))(\( 1 - 12 T + 41 T^{2} \))(\( 1 - 4 T + 54 T^{2} - 164 T^{3} + 1681 T^{4} \))(\( ( 1 - 2 T + 41 T^{2} )^{2} \))(\( 1 + 2 T + 66 T^{2} + 82 T^{3} + 1681 T^{4} \))(\( 1 + 4 T + 54 T^{2} + 164 T^{3} + 1681 T^{4} \))(\( ( 1 - 26 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 - 26 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 + 2 T + 41 T^{2} )^{2} \))(\( ( 1 + 4 T + 41 T^{2} )^{2} \))(\( ( 1 + 2 T + 41 T^{2} )^{2} \))(\( ( 1 - 4 T + 41 T^{2} )^{2} \))(\( ( 1 + 2 T + 63 T^{2} - 36 T^{3} + 2583 T^{4} + 3362 T^{5} + 68921 T^{6} )^{2} \))(\( ( 1 + 44 T^{2} + 3246 T^{4} + 73964 T^{6} + 2825761 T^{8} )^{4} \))(\( 1 - 6 T - 5 T^{2} - 246 T^{3} + 1681 T^{4} \))(\( 1 - 41 T^{2} + 1681 T^{4} \))(\( 1 - 2 T - 44 T^{2} - 426 T^{3} + 1985 T^{4} + 17281 T^{5} + 170979 T^{6} - 841573 T^{7} - 6842441 T^{8} - 34504493 T^{9} + 287415699 T^{10} + 1191023801 T^{11} + 5609135585 T^{12} - 49354741626 T^{13} - 209004586604 T^{14} - 389508547762 T^{15} + 7984925229121 T^{16} \))(\( 1 + 20 T + 126 T^{2} + 390 T^{3} + 5225 T^{4} + 43635 T^{5} + 118739 T^{6} + 1639535 T^{7} + 19690659 T^{8} + 67220935 T^{9} + 199600259 T^{10} + 3007367835 T^{11} + 14764601225 T^{12} + 45183918390 T^{13} + 598513134366 T^{14} + 3895085477620 T^{15} + 7984925229121 T^{16} \))(\( 1 + 4 T - 158 T^{2} + 14 T^{3} + 16080 T^{4} - 33799 T^{5} - 940223 T^{6} + 3880863 T^{7} + 37316861 T^{8} - 184680932 T^{9} - 912886272 T^{10} + 3736722920 T^{11} + 26275273283 T^{12} + 153205639720 T^{13} - 1534561823232 T^{14} - 12728394514372 T^{15} + 105448530456221 T^{16} + 449622043781463 T^{17} - 4466157259785743 T^{18} - 6582499702903919 T^{19} + 128397597684265680 T^{20} + 4583347081515454 T^{21} - 2120780171004079358 T^{22} + 2201316126864993764 T^{23} + 22563490300366186081 T^{24} \))(\( 1 + 20 T + 118 T^{2} - 150 T^{3} - 4985 T^{4} - 42197 T^{5} - 220145 T^{6} + 1270731 T^{7} + 23848134 T^{8} + 110309977 T^{9} + 134825125 T^{10} - 2724509833 T^{11} - 47046106654 T^{12} - 288572614127 T^{13} - 46076715579 T^{14} + 8512166036907 T^{15} + 65404558839995 T^{16} + 348998807513187 T^{17} - 77454958888299 T^{18} - 19888713138246967 T^{19} - 132941053384713694 T^{20} - 315651358838524433 T^{21} + 640433398055855125 T^{22} + 21483339472464810737 T^{23} + \)\(19\!\cdots\!14\)\( T^{24} + \)\(41\!\cdots\!91\)\( T^{25} - \)\(29\!\cdots\!45\)\( T^{26} - \)\(23\!\cdots\!77\)\( T^{27} - \)\(11\!\cdots\!85\)\( T^{28} - \)\(13\!\cdots\!50\)\( T^{29} + \)\(44\!\cdots\!98\)\( T^{30} + \)\(31\!\cdots\!20\)\( T^{31} + \)\(63\!\cdots\!41\)\( T^{32} \))(\( ( 1 - 6 T + 41 T^{2} )^{2} \))(\( ( 1 + 12 T + 41 T^{2} )^{2} \))(\( ( 1 + 2 T + 80 T^{2} + 82 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 - 4 T + 68 T^{2} - 164 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 - 10 T + 99 T^{2} - 410 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 - 2 T + 65 T^{2} - 182 T^{3} + 2665 T^{4} - 3362 T^{5} + 68921 T^{6} )^{2} \))(\( ( 1 + 2 T + 65 T^{2} + 182 T^{3} + 2665 T^{4} + 3362 T^{5} + 68921 T^{6} )^{2} \))(\( ( 1 + 3 T - 32 T^{2} + 123 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 + 3 T - 32 T^{2} + 123 T^{3} + 1681 T^{4} )^{2} \))(\( 1 - 232 T^{2} + 30646 T^{4} - 2820520 T^{6} + 198407727 T^{8} - 11090030832 T^{10} + 503431026356 T^{12} - 18642341828592 T^{14} + 560652817055247 T^{16} - 13397764013825320 T^{18} + 244706018571642166 T^{20} - 3114056959955357032 T^{22} + 22563490300366186081 T^{24} \))(\( 1 - 232 T^{2} + 30646 T^{4} - 2820520 T^{6} + 198407727 T^{8} - 11090030832 T^{10} + 503431026356 T^{12} - 18642341828592 T^{14} + 560652817055247 T^{16} - 13397764013825320 T^{18} + 244706018571642166 T^{20} - 3114056959955357032 T^{22} + 22563490300366186081 T^{24} \))(\( ( 1 - 41 T^{2} )^{4} \))(\( ( 1 - 41 T^{2} )^{4} \))(\( ( 1 + 8 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 - 2 T^{2} + 1681 T^{4} )^{4} \))(\( ( 1 - 144 T^{2} + 12956 T^{4} - 823792 T^{6} + 38320198 T^{8} - 1384794352 T^{10} + 36610559516 T^{12} - 684015010704 T^{14} + 7984925229121 T^{16} )^{2} \))(\( ( 1 + 2 T - 37 T^{2} + 82 T^{3} + 1681 T^{4} )^{2} \))(\( 1 - 6 T - 5 T^{2} - 246 T^{3} + 1681 T^{4} \))(\( ( 1 - 41 T^{2} + 1681 T^{4} )^{4} \))(\( ( 1 + 58 T^{2} + 1681 T^{4} )^{4} \))(\( 1 + 6 T - 5 T^{2} + 246 T^{3} + 1681 T^{4} \))(\( ( 1 + 5 T + 41 T^{2} )^{4} \))(\( ( 1 + 4 T + 114 T^{2} + 346 T^{3} + 5976 T^{4} + 14186 T^{5} + 191634 T^{6} + 275684 T^{7} + 2825761 T^{8} )^{4} \))(\( ( 1 + 10 T^{2} + 860 T^{4} + 16810 T^{6} + 2825761 T^{8} )^{4} \))(\( ( 1 + 2 T - 37 T^{2} + 82 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 + 8 T + 23 T^{2} + 328 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 - 12 T + 192 T^{2} - 1704 T^{3} + 18087 T^{4} - 122340 T^{5} + 939022 T^{6} - 5015940 T^{7} + 30404247 T^{8} - 117441384 T^{9} + 542546112 T^{10} - 1390274412 T^{11} + 4750104241 T^{12} )^{2} \))(\( ( 1 + 12 T + 192 T^{2} + 1704 T^{3} + 18087 T^{4} + 122340 T^{5} + 939022 T^{6} + 5015940 T^{7} + 30404247 T^{8} + 117441384 T^{9} + 542546112 T^{10} + 1390274412 T^{11} + 4750104241 T^{12} )^{2} \))(\( 1 - 9 T + 40 T^{2} - 369 T^{3} + 1681 T^{4} \))(\( 1 - 41 T^{2} + 1681 T^{4} \))(\( 1 - 41 T^{2} + 1681 T^{4} \))(\( 1 + 9 T + 40 T^{2} + 369 T^{3} + 1681 T^{4} \))(\( 1 + 6 T - 5 T^{2} + 246 T^{3} + 1681 T^{4} \))(\( 1 + 12 T + 103 T^{2} + 492 T^{3} + 1681 T^{4} \))(\( 1 - 12 T + 103 T^{2} - 492 T^{3} + 1681 T^{4} \))(\( 1 - 6 T - 5 T^{2} - 246 T^{3} + 1681 T^{4} \))(\( ( 1 + 2 T - 37 T^{2} + 82 T^{3} + 1681 T^{4} )^{2} \))(\( 1 + 73 T^{2} + 3648 T^{4} + 122713 T^{6} + 2825761 T^{8} \))(\( 1 - 12 T + 106 T^{2} - 696 T^{3} + 3651 T^{4} - 28536 T^{5} + 178186 T^{6} - 827052 T^{7} + 2825761 T^{8} \))(\( 1 - 12 T + 106 T^{2} - 696 T^{3} + 3651 T^{4} - 28536 T^{5} + 178186 T^{6} - 827052 T^{7} + 2825761 T^{8} \))(\( 1 + 73 T^{2} + 3648 T^{4} + 122713 T^{6} + 2825761 T^{8} \))(\( 1 - 122 T^{2} + 6651 T^{4} - 205082 T^{6} + 2825761 T^{8} \))(\( 1 - 122 T^{2} + 6651 T^{4} - 205082 T^{6} + 2825761 T^{8} \))(\( 1 + 12 T + 106 T^{2} + 696 T^{3} + 3651 T^{4} + 28536 T^{5} + 178186 T^{6} + 827052 T^{7} + 2825761 T^{8} \))(\( 1 + 73 T^{2} + 3648 T^{4} + 122713 T^{6} + 2825761 T^{8} \))(\( 1 + 12 T + 106 T^{2} + 696 T^{3} + 3651 T^{4} + 28536 T^{5} + 178186 T^{6} + 827052 T^{7} + 2825761 T^{8} \))(\( 1 + 73 T^{2} + 3648 T^{4} + 122713 T^{6} + 2825761 T^{8} \))
$43$ (\( 1 - 4 T + 43 T^{2} \))(\( 1 + 10 T + 43 T^{2} \))(\( 1 + 8 T + 70 T^{2} + 344 T^{3} + 1849 T^{4} \))(\( 1 + 6 T^{2} + 1849 T^{4} \))(\( 1 - 10 T + 94 T^{2} - 430 T^{3} + 1849 T^{4} \))(\( 1 + 8 T + 70 T^{2} + 344 T^{3} + 1849 T^{4} \))(\( ( 1 - 4 T + 42 T^{2} - 172 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 - 4 T + 42 T^{2} - 172 T^{3} + 1849 T^{4} )^{2} \))(\( 1 - 70 T^{2} + 1849 T^{4} \))(\( 1 - 22 T^{2} + 1849 T^{4} \))(\( 1 - 70 T^{2} + 1849 T^{4} \))(\( 1 - 22 T^{2} + 1849 T^{4} \))(\( 1 + 46 T^{2} + 2839 T^{4} + 118948 T^{6} + 5249311 T^{8} + 157264846 T^{10} + 6321363049 T^{12} \))(\( ( 1 - 100 T^{2} + 6102 T^{4} - 184900 T^{6} + 3418801 T^{8} )^{4} \))(\( 1 + 4 T - 27 T^{2} + 172 T^{3} + 1849 T^{4} \))(\( 1 - 4 T - 27 T^{2} - 172 T^{3} + 1849 T^{4} \))(\( 1 - 7 T + 31 T^{2} - 88 T^{3} - 1116 T^{4} + 17139 T^{5} + 37680 T^{6} - 784944 T^{7} + 5466535 T^{8} - 33752592 T^{9} + 69670320 T^{10} + 1362670473 T^{11} - 3815381916 T^{12} - 12936742984 T^{13} + 195962254519 T^{14} - 1902730277749 T^{15} + 11688200277601 T^{16} \))(\( 1 - 7 T - 77 T^{2} + 160 T^{3} + 5570 T^{4} + 5177 T^{5} - 258466 T^{6} - 11150 T^{7} + 7688479 T^{8} - 479450 T^{9} - 477903634 T^{10} + 411607739 T^{11} + 19042721570 T^{12} + 23521350880 T^{13} - 486744954773 T^{14} - 1902730277749 T^{15} + 11688200277601 T^{16} \))(\( 1 + 13 T - 59 T^{2} - 1298 T^{3} + 1643 T^{4} + 58718 T^{5} - 206473 T^{6} - 2100910 T^{7} + 20656952 T^{8} + 88473724 T^{9} - 1065054743 T^{10} - 2017009199 T^{11} + 42128186297 T^{12} - 86731395557 T^{13} - 1969286219807 T^{14} + 7034280374068 T^{15} + 70622008154552 T^{16} - 308851507983130 T^{17} - 1305190792816177 T^{18} + 15960645206980826 T^{19} + 19203713056098443 T^{20} - 652365210294022214 T^{21} - 1275077456483770691 T^{22} + 12080818613125895191 T^{23} + 39959630797262576401 T^{24} \))(\( 1 + 13 T - 93 T^{2} - 1248 T^{3} + 9810 T^{4} + 69431 T^{5} - 827740 T^{6} - 2844144 T^{7} + 45303354 T^{8} + 67606073 T^{9} - 1695183309 T^{10} + 999801391 T^{11} + 52470440688 T^{12} - 81486657567 T^{13} - 1021133493305 T^{14} + 1151633415525 T^{15} + 13207491736631 T^{16} + 49520236867575 T^{17} - 1888075829120945 T^{18} - 6478759683179469 T^{19} + 179385995094575088 T^{20} + 146979245800144213 T^{21} - 10715869130794149141 T^{22} + 18376588865258452811 T^{23} + \)\(52\!\cdots\!54\)\( T^{24} - \)\(14\!\cdots\!92\)\( T^{25} - \)\(17\!\cdots\!60\)\( T^{26} + \)\(64\!\cdots\!17\)\( T^{27} + \)\(39\!\cdots\!10\)\( T^{28} - \)\(21\!\cdots\!64\)\( T^{29} - \)\(68\!\cdots\!57\)\( T^{30} + \)\(41\!\cdots\!91\)\( T^{31} + \)\(13\!\cdots\!01\)\( T^{32} \))(\( ( 1 - T + 43 T^{2} )^{2} \))(\( ( 1 + T + 43 T^{2} )^{2} \))(\( ( 1 + 4 T + 63 T^{2} + 172 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 + 18 T + 165 T^{2} + 774 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 - 10 T + 109 T^{2} - 430 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 + 3 T + 88 T^{2} + 209 T^{3} + 3784 T^{4} + 5547 T^{5} + 79507 T^{6} )^{2} \))(\( ( 1 + 3 T + 88 T^{2} + 209 T^{3} + 3784 T^{4} + 5547 T^{5} + 79507 T^{6} )^{2} \))(\( 1 - 6 T - 7 T^{2} + 258 T^{3} - 1548 T^{4} + 11094 T^{5} - 12943 T^{6} - 477042 T^{7} + 3418801 T^{8} \))(\( 1 - 6 T - 7 T^{2} + 258 T^{3} - 1548 T^{4} + 11094 T^{5} - 12943 T^{6} - 477042 T^{7} + 3418801 T^{8} \))(\( 1 - 40 T + 800 T^{2} - 11608 T^{3} + 144630 T^{4} - 1609192 T^{5} + 16036512 T^{6} - 146487000 T^{7} + 1250458847 T^{8} - 9986195856 T^{9} + 74890568512 T^{10} - 532487979120 T^{11} + 3591291202036 T^{12} - 22896983102160 T^{13} + 138472661178688 T^{14} - 793972473922992 T^{15} + 4275069956582447 T^{16} - 21534825789741000 T^{17} + 101372614391645088 T^{18} - 437408334444495544 T^{19} + 1690464406149432630 T^{20} - 5834095039362873544 T^{21} + 17289185850627399200 T^{22} - 37171749578848908280 T^{23} + 39959630797262576401 T^{24} \))(\( 1 - 40 T + 800 T^{2} - 11608 T^{3} + 144630 T^{4} - 1609192 T^{5} + 16036512 T^{6} - 146487000 T^{7} + 1250458847 T^{8} - 9986195856 T^{9} + 74890568512 T^{10} - 532487979120 T^{11} + 3591291202036 T^{12} - 22896983102160 T^{13} + 138472661178688 T^{14} - 793972473922992 T^{15} + 4275069956582447 T^{16} - 21534825789741000 T^{17} + 101372614391645088 T^{18} - 437408334444495544 T^{19} + 1690464406149432630 T^{20} - 5834095039362873544 T^{21} + 17289185850627399200 T^{22} - 37171749578848908280 T^{23} + 39959630797262576401 T^{24} \))(\( ( 1 - 12 T + 72 T^{2} - 516 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 - 12 T + 72 T^{2} - 516 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 + 6 T + 18 T^{2} + 258 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 + 4 T + 8 T^{2} + 172 T^{3} + 1849 T^{4} )^{4} \))(\( ( 1 + 8 T + 32 T^{2} + 280 T^{3} + 2788 T^{4} + 14232 T^{5} + 63840 T^{6} + 569416 T^{7} + 5017638 T^{8} + 24484888 T^{9} + 118040160 T^{10} + 1131543624 T^{11} + 9531617188 T^{12} + 41162364040 T^{13} + 202283617568 T^{14} + 2174548888856 T^{15} + 11688200277601 T^{16} )^{2} \))(\( 1 + 85 T^{2} + 5376 T^{4} + 157165 T^{6} + 3418801 T^{8} \))(\( 1 + T - 42 T^{2} + 43 T^{3} + 1849 T^{4} \))(\( ( 1 + 43 T^{2} + 1849 T^{4} )^{4} \))(\( ( 1 - 65 T^{2} + 1849 T^{4} )^{4} \))(\( 1 + T - 42 T^{2} + 43 T^{3} + 1849 T^{4} \))(\( ( 1 - 37 T^{2} + 1849 T^{4} )^{2} \))(\( ( 1 - 216 T^{2} + 22138 T^{4} - 1464812 T^{6} + 71619331 T^{8} - 2708437388 T^{10} + 75685416538 T^{12} - 1365414418584 T^{14} + 11688200277601 T^{16} )^{2} \))(\( ( 1 + 24 T^{2} + 3499 T^{4} + 44376 T^{6} + 3418801 T^{8} )^{4} \))(\( 1 + 70 T^{2} + 3051 T^{4} + 129430 T^{6} + 3418801 T^{8} \))(\( 1 + 82 T^{2} + 4875 T^{4} + 151618 T^{6} + 3418801 T^{8} \))(\( ( 1 + 2 T + 65 T^{2} + 318 T^{3} + 5080 T^{4} + 14554 T^{5} + 241357 T^{6} + 625822 T^{7} + 9392920 T^{8} + 25283226 T^{9} + 222222065 T^{10} + 294016886 T^{11} + 6321363049 T^{12} )^{2} \))(\( ( 1 + 2 T + 65 T^{2} + 318 T^{3} + 5080 T^{4} + 14554 T^{5} + 241357 T^{6} + 625822 T^{7} + 9392920 T^{8} + 25283226 T^{9} + 222222065 T^{10} + 294016886 T^{11} + 6321363049 T^{12} )^{2} \))(\( 1 + 4 T - 27 T^{2} + 172 T^{3} + 1849 T^{4} \))(\( 1 + 4 T - 27 T^{2} + 172 T^{3} + 1849 T^{4} \))(\( 1 + 4 T - 27 T^{2} + 172 T^{3} + 1849 T^{4} \))(\( 1 + 4 T - 27 T^{2} + 172 T^{3} + 1849 T^{4} \))(\( 1 + 10 T + 57 T^{2} + 430 T^{3} + 1849 T^{4} \))(\( ( 1 - 13 T + 43 T^{2} )( 1 + 5 T + 43 T^{2} ) \))(\( ( 1 - 13 T + 43 T^{2} )( 1 + 5 T + 43 T^{2} ) \))(\( 1 + 10 T + 57 T^{2} + 430 T^{3} + 1849 T^{4} \))(\( 1 + 85 T^{2} + 5376 T^{4} + 157165 T^{6} + 3418801 T^{8} \))(\( 1 + 9 T^{2} + 240 T^{3} - 1324 T^{4} + 10320 T^{5} + 16641 T^{6} + 3418801 T^{8} \))(\( 1 - 6 T + 45 T^{2} - 366 T^{3} + 1328 T^{4} - 15738 T^{5} + 83205 T^{6} - 477042 T^{7} + 3418801 T^{8} \))(\( 1 + 12 T + 45 T^{2} - 204 T^{3} - 3316 T^{4} - 8772 T^{5} + 83205 T^{6} + 954084 T^{7} + 3418801 T^{8} \))(\( 1 - 6 T + 9 T^{2} + 258 T^{3} - 2872 T^{4} + 11094 T^{5} + 16641 T^{6} - 477042 T^{7} + 3418801 T^{8} \))(\( 1 + 6 T + 18 T^{2} + 60 T^{3} - 889 T^{4} + 2580 T^{5} + 33282 T^{6} + 477042 T^{7} + 3418801 T^{8} \))(\( 1 + 6 T + 18 T^{2} + 60 T^{3} - 889 T^{4} + 2580 T^{5} + 33282 T^{6} + 477042 T^{7} + 3418801 T^{8} \))(\( 1 + 12 T + 45 T^{2} - 204 T^{3} - 3316 T^{4} - 8772 T^{5} + 83205 T^{6} + 954084 T^{7} + 3418801 T^{8} \))(\( 1 + 9 T^{2} + 240 T^{3} - 1324 T^{4} + 10320 T^{5} + 16641 T^{6} + 3418801 T^{8} \))(\( 1 - 6 T + 45 T^{2} - 366 T^{3} + 1328 T^{4} - 15738 T^{5} + 83205 T^{6} - 477042 T^{7} + 3418801 T^{8} \))(\( 1 - 6 T + 9 T^{2} + 258 T^{3} - 2872 T^{4} + 11094 T^{5} + 16641 T^{6} - 477042 T^{7} + 3418801 T^{8} \))
$47$ (\( 1 + 8 T + 47 T^{2} \))(\( 1 + 9 T + 47 T^{2} \))(\( ( 1 - 4 T + 47 T^{2} )^{2} \))(\( 1 + 8 T + 30 T^{2} + 376 T^{3} + 2209 T^{4} \))(\( 1 - 5 T + 62 T^{2} - 235 T^{3} + 2209 T^{4} \))(\( ( 1 + 4 T + 47 T^{2} )^{2} \))(\( ( 1 - 12 T + 118 T^{2} - 564 T^{3} + 2209 T^{4} )^{2} \))(\( ( 1 + 12 T + 118 T^{2} + 564 T^{3} + 2209 T^{4} )^{2} \))(\( 1 - 85 T^{2} + 2209 T^{4} \))(\( 1 + 50 T^{2} + 2209 T^{4} \))(\( ( 1 - 47 T^{2} )^{2} \))(\( 1 + 50 T^{2} + 2209 T^{4} \))(\( 1 - 154 T^{2} + 12143 T^{4} - 652332 T^{6} + 26823887 T^{8} - 751470874 T^{10} + 10779215329 T^{12} \))(\( ( 1 - 124 T^{2} + 7398 T^{4} - 273916 T^{6} + 4879681 T^{8} )^{4} \))(\( 1 + 7 T + 2 T^{2} + 329 T^{3} + 2209 T^{4} \))(\( 1 - 47 T^{2} + 2209 T^{4} \))(\( 1 - 10 T - 86 T^{2} + 618 T^{3} + 9423 T^{4} - 33027 T^{5} - 603099 T^{6} + 677569 T^{7} + 30716757 T^{8} + 31845743 T^{9} - 1332245691 T^{10} - 3428962221 T^{11} + 45981234063 T^{12} + 141735214326 T^{13} - 927012518294 T^{14} - 5066231204630 T^{15} + 23811286661761 T^{16} \))(\( 1 - 2 T - 58 T^{2} - 714 T^{3} + 2873 T^{4} + 38399 T^{5} + 291889 T^{6} - 1740327 T^{7} - 14193947 T^{8} - 81795369 T^{9} + 644782801 T^{10} + 3986699377 T^{11} + 14019323513 T^{12} - 163752334998 T^{13} - 625194489082 T^{14} - 1013246240926 T^{15} + 23811286661761 T^{16} \))(\( 1 - 8 T - 163 T^{2} + 1298 T^{3} + 15011 T^{4} - 102465 T^{5} - 1195399 T^{6} + 5422512 T^{7} + 87138701 T^{8} - 218512510 T^{9} - 5181134511 T^{10} + 4257232207 T^{11} + 259375228416 T^{12} + 200089913729 T^{13} - 11445126134799 T^{14} - 22686624325730 T^{15} + 425209063634381 T^{16} + 1243626052597584 T^{17} - 12885463225071271 T^{18} - 51911138038241295 T^{19} + 357431224079694371 T^{20} + 1452631354087391566 T^{21} - 8573658554440297987 T^{22} - 19777273720672098424 T^{23} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 - 11 T - 184 T^{2} + 2519 T^{3} + 18578 T^{4} - 328940 T^{5} - 1113262 T^{6} + 30708371 T^{7} + 18431464 T^{8} - 2157799474 T^{9} + 3826585394 T^{10} + 115855042036 T^{11} - 510755934975 T^{12} - 4424444319954 T^{13} + 38393050326972 T^{14} + 80181278073827 T^{15} - 2076366795569416 T^{16} + 3768520069469869 T^{17} + 84810248172281148 T^{18} - 459359082630584142 T^{19} - 2492326031534742975 T^{20} + 26570775426731714252 T^{21} + 41247587936732304626 T^{22} - \)\(10\!\cdots\!62\)\( T^{23} + \)\(43\!\cdots\!04\)\( T^{24} + \)\(34\!\cdots\!57\)\( T^{25} - \)\(58\!\cdots\!38\)\( T^{26} - \)\(81\!\cdots\!20\)\( T^{27} + \)\(21\!\cdots\!98\)\( T^{28} + \)\(13\!\cdots\!13\)\( T^{29} - \)\(47\!\cdots\!96\)\( T^{30} - \)\(13\!\cdots\!73\)\( T^{31} + \)\(56\!\cdots\!21\)\( T^{32} \))(\( 1 - 2 T - 43 T^{2} - 94 T^{3} + 2209 T^{4} \))(\( 1 - 6 T - 11 T^{2} - 282 T^{3} + 2209 T^{4} \))(\( ( 1 - 2 T - 43 T^{2} - 94 T^{3} + 2209 T^{4} )^{2} \))(\( 1 + 4 T + 46 T^{2} - 496 T^{3} - 2061 T^{4} - 23312 T^{5} + 101614 T^{6} + 415292 T^{7} + 4879681 T^{8} \))(\( ( 1 - 2 T - 43 T^{2} - 94 T^{3} + 2209 T^{4} )^{2} \))(\( 1 - 2 T - 69 T^{2} - 106 T^{3} + 1858 T^{4} + 7846 T^{5} - 51253 T^{6} + 368762 T^{7} + 4104322 T^{8} - 11005238 T^{9} - 336697989 T^{10} - 458690014 T^{11} + 10779215329 T^{12} \))(\( 1 + 2 T - 69 T^{2} + 106 T^{3} + 1858 T^{4} - 7846 T^{5} - 51253 T^{6} - 368762 T^{7} + 4104322 T^{8} + 11005238 T^{9} - 336697989 T^{10} + 458690014 T^{11} + 10779215329 T^{12} \))(\( 1 - 2 T - 39 T^{2} + 102 T^{3} - 548 T^{4} + 4794 T^{5} - 86151 T^{6} - 207646 T^{7} + 4879681 T^{8} \))(\( ( 1 + 2 T + 43 T^{2} + 94 T^{3} + 2209 T^{4} )^{2} \))(\( 1 - 24 T + 288 T^{2} - 2920 T^{3} + 30374 T^{4} - 283512 T^{5} + 2319776 T^{6} - 18683912 T^{7} + 148359759 T^{8} - 1083670000 T^{9} + 7566143296 T^{10} - 53830728976 T^{11} + 378456487636 T^{12} - 2530044261872 T^{13} + 16713610540864 T^{14} - 112509870410000 T^{15} + 723948297156879 T^{16} - 4285061928427384 T^{17} + 25005365019046304 T^{18} - 143633734128706056 T^{19} + 723244021064328614 T^{20} - 3267860981460079640 T^{21} + 15148550083919054112 T^{22} - 59331821162016295272 T^{23} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 + 24 T + 288 T^{2} + 2920 T^{3} + 30374 T^{4} + 283512 T^{5} + 2319776 T^{6} + 18683912 T^{7} + 148359759 T^{8} + 1083670000 T^{9} + 7566143296 T^{10} + 53830728976 T^{11} + 378456487636 T^{12} + 2530044261872 T^{13} + 16713610540864 T^{14} + 112509870410000 T^{15} + 723948297156879 T^{16} + 4285061928427384 T^{17} + 25005365019046304 T^{18} + 143633734128706056 T^{19} + 723244021064328614 T^{20} + 3267860981460079640 T^{21} + 15148550083919054112 T^{22} + 59331821162016295272 T^{23} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( ( 1 + 2209 T^{4} )^{2} \))(\( ( 1 + 2209 T^{4} )^{2} \))(\( 1 - 2017 T^{4} + 4879681 T^{8} \))(\( ( 1 - 62 T^{4} + 4879681 T^{8} )^{2} \))(\( 1 + 3784 T^{4} + 1124764 T^{8} + 9138019192 T^{12} + 63538455194182 T^{16} + 44590618628837752 T^{20} + 26782078030828949404 T^{24} + \)\(43\!\cdots\!44\)\( T^{28} + \)\(56\!\cdots\!21\)\( T^{32} \))(\( ( 1 - 85 T^{2} + 2209 T^{4} )^{2} \))(\( ( 1 - 9 T + 47 T^{2} )^{2} \))(\( ( 1 + 31 T^{2} + 2209 T^{4} )^{2}( 1 - 31 T^{2} - 1248 T^{4} - 68479 T^{6} + 4879681 T^{8} ) \))(\( ( 1 + 80 T^{2} + 4191 T^{4} + 176720 T^{6} + 4879681 T^{8} )^{2} \))(\( 1 - 9 T + 34 T^{2} - 423 T^{3} + 2209 T^{4} \))(\( ( 1 + 47 T^{2} + 2209 T^{4} )^{2} \))(\( 1 + 308 T^{2} + 50892 T^{4} + 5950136 T^{6} + 547353834 T^{8} + 41768130380 T^{10} + 2726163659344 T^{12} + 155042751818668 T^{14} + 7757667166613347 T^{16} + 342489438767437612 T^{18} + 13302809011391389264 T^{20} + \)\(45\!\cdots\!20\)\( T^{22} + \)\(13\!\cdots\!74\)\( T^{24} + \)\(31\!\cdots\!64\)\( T^{26} + \)\(59\!\cdots\!72\)\( T^{28} + \)\(79\!\cdots\!52\)\( T^{30} + \)\(56\!\cdots\!21\)\( T^{32} \))(\( ( 1 + 168 T^{2} + 16778 T^{4} + 1180704 T^{6} + 63784419 T^{8} + 2608175136 T^{10} + 81871287818 T^{12} + 1810908175272 T^{14} + 23811286661761 T^{16} )^{2} \))(\( 1 + 13 T^{2} - 2040 T^{4} + 28717 T^{6} + 4879681 T^{8} \))(\( 1 + 85 T^{2} + 5016 T^{4} + 187765 T^{6} + 4879681 T^{8} \))(\( 1 - 162 T^{2} + 192 T^{3} + 11733 T^{4} - 23328 T^{5} - 672838 T^{6} + 760896 T^{7} + 42600858 T^{8} + 8087904 T^{9} - 2486828586 T^{10} - 573202080 T^{11} + 123583933965 T^{12} - 26940497760 T^{13} - 5493404346474 T^{14} + 839710456992 T^{15} + 207878597366298 T^{16} + 174507698446272 T^{17} - 7252665683533702 T^{18} - 11818504154160864 T^{19} + 279377826402441813 T^{20} + 214873050835731264 T^{21} - 8521059422204467938 T^{22} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 - 162 T^{2} - 192 T^{3} + 11733 T^{4} + 23328 T^{5} - 672838 T^{6} - 760896 T^{7} + 42600858 T^{8} - 8087904 T^{9} - 2486828586 T^{10} + 573202080 T^{11} + 123583933965 T^{12} + 26940497760 T^{13} - 5493404346474 T^{14} - 839710456992 T^{15} + 207878597366298 T^{16} - 174507698446272 T^{17} - 7252665683533702 T^{18} + 11818504154160864 T^{19} + 279377826402441813 T^{20} - 214873050835731264 T^{21} - 8521059422204467938 T^{22} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 - 3 T - 38 T^{2} - 141 T^{3} + 2209 T^{4} \))(\( 1 - 3 T - 38 T^{2} - 141 T^{3} + 2209 T^{4} \))(\( 1 + 3 T - 38 T^{2} + 141 T^{3} + 2209 T^{4} \))(\( 1 + 3 T - 38 T^{2} + 141 T^{3} + 2209 T^{4} \))(\( 1 + 9 T + 34 T^{2} + 423 T^{3} + 2209 T^{4} \))(\( 1 - 47 T^{2} + 2209 T^{4} \))(\( 1 - 47 T^{2} + 2209 T^{4} \))(\( 1 - 9 T + 34 T^{2} - 423 T^{3} + 2209 T^{4} \))(\( 1 + 85 T^{2} + 5016 T^{4} + 187765 T^{6} + 4879681 T^{8} \))(\( 1 + 18 T + 162 T^{2} + 1548 T^{3} + 13271 T^{4} + 72756 T^{5} + 357858 T^{6} + 1868814 T^{7} + 4879681 T^{8} \))(\( 1 + 6 T + 18 T^{2} - 420 T^{3} - 3889 T^{4} - 19740 T^{5} + 39762 T^{6} + 622938 T^{7} + 4879681 T^{8} \))(\( 1 - 6 T + 18 T^{2} + 420 T^{3} - 3889 T^{4} + 19740 T^{5} + 39762 T^{6} - 622938 T^{7} + 4879681 T^{8} \))(\( 1 - 18 T + 162 T^{2} - 1548 T^{3} + 13271 T^{4} - 72756 T^{5} + 357858 T^{6} - 1868814 T^{7} + 4879681 T^{8} \))(\( 1 + 6 T + 90 T^{2} + 672 T^{3} + 5159 T^{4} + 31584 T^{5} + 198810 T^{6} + 622938 T^{7} + 4879681 T^{8} \))(\( 1 + 18 T + 90 T^{2} - 528 T^{3} - 8377 T^{4} - 24816 T^{5} + 198810 T^{6} + 1868814 T^{7} + 4879681 T^{8} \))(\( 1 - 30 T + 369 T^{2} - 2526 T^{3} + 14864 T^{4} - 118722 T^{5} + 815121 T^{6} - 3114690 T^{7} + 4879681 T^{8} \))(\( 1 + 12 T + 45 T^{2} - 612 T^{3} - 6892 T^{4} - 28764 T^{5} + 99405 T^{6} + 1245876 T^{7} + 4879681 T^{8} \))(\( 1 - 24 T + 369 T^{2} - 3792 T^{3} + 30092 T^{4} - 178224 T^{5} + 815121 T^{6} - 2491752 T^{7} + 4879681 T^{8} \))(\( 1 - 6 T + 45 T^{2} + 378 T^{3} - 1816 T^{4} + 17766 T^{5} + 99405 T^{6} - 622938 T^{7} + 4879681 T^{8} \))
$53$ (\( 1 + 10 T + 53 T^{2} \))(\( 1 + 12 T + 53 T^{2} \))(\( 1 + 16 T + 162 T^{2} + 848 T^{3} + 2809 T^{4} \))(\( 1 - 16 T + 150 T^{2} - 848 T^{3} + 2809 T^{4} \))(\( 1 - 2 T + 90 T^{2} - 106 T^{3} + 2809 T^{4} \))(\( 1 - 16 T + 162 T^{2} - 848 T^{3} + 2809 T^{4} \))(\( 1 - 88 T^{2} + 5826 T^{4} - 247192 T^{6} + 7890481 T^{8} \))(\( 1 - 88 T^{2} + 5826 T^{4} - 247192 T^{6} + 7890481 T^{8} \))(\( 1 - 70 T^{2} + 2809 T^{4} \))(\( 1 - 70 T^{2} + 2809 T^{4} \))(\( 1 - 70 T^{2} + 2809 T^{4} \))(\( 1 - 70 T^{2} + 2809 T^{4} \))(\( 1 - 146 T^{2} + 14103 T^{4} - 884828 T^{6} + 39615327 T^{8} - 1152010226 T^{10} + 22164361129 T^{12} \))(\( ( 1 + 104 T^{2} + 6378 T^{4} + 292136 T^{6} + 7890481 T^{8} )^{4} \))(\( ( 1 + 4 T + 53 T^{2} )^{2} \))(\( ( 1 + 6 T + 53 T^{2} )^{2} \))(\( ( 1 + 112 T^{2} - 119 T^{3} + 7405 T^{4} - 6307 T^{5} + 314608 T^{6} + 7890481 T^{8} )^{2} \))(\( ( 1 + 8 T + 46 T^{2} - 401 T^{3} - 3531 T^{4} - 21253 T^{5} + 129214 T^{6} + 1191016 T^{7} + 7890481 T^{8} )^{2} \))(\( ( 1 - 10 T + 194 T^{2} - 1431 T^{3} + 17912 T^{4} - 104359 T^{5} + 1085054 T^{6} - 5531027 T^{7} + 50314808 T^{8} - 213042987 T^{9} + 1530753314 T^{10} - 4181954930 T^{11} + 22164361129 T^{12} )^{2} \))(\( ( 1 + 8 T + 306 T^{2} + 2229 T^{3} + 44063 T^{4} + 295215 T^{5} + 3976442 T^{6} + 23818424 T^{7} + 249123624 T^{8} + 1262376472 T^{9} + 11169825578 T^{10} + 43950723555 T^{11} + 347678264303 T^{12} + 932157753897 T^{13} + 6782294505474 T^{14} + 9397689118696 T^{15} + 62259690411361 T^{16} )^{2} \))(\( 1 - 4 T - 37 T^{2} - 212 T^{3} + 2809 T^{4} \))(\( 1 - 53 T^{2} + 2809 T^{4} \))(\( 1 - 4 T + 14 T^{2} + 416 T^{3} - 3653 T^{4} + 22048 T^{5} + 39326 T^{6} - 595508 T^{7} + 7890481 T^{8} \))(\( 1 - 8 T - 50 T^{2} - 64 T^{3} + 6795 T^{4} - 3392 T^{5} - 140450 T^{6} - 1191016 T^{7} + 7890481 T^{8} \))(\( 1 + 8 T - 50 T^{2} + 64 T^{3} + 6795 T^{4} + 3392 T^{5} - 140450 T^{6} + 1191016 T^{7} + 7890481 T^{8} \))(\( 1 + 4 T - 127 T^{2} - 180 T^{3} + 11366 T^{4} + 4372 T^{5} - 689611 T^{6} + 231716 T^{7} + 31927094 T^{8} - 26797860 T^{9} - 1002091087 T^{10} + 1672781972 T^{11} + 22164361129 T^{12} \))(\( 1 - 4 T - 127 T^{2} + 180 T^{3} + 11366 T^{4} - 4372 T^{5} - 689611 T^{6} - 231716 T^{7} + 31927094 T^{8} + 26797860 T^{9} - 1002091087 T^{10} - 1672781972 T^{11} + 22164361129 T^{12} \))(\( 1 + 8 T - 45 T^{2} + 24 T^{3} + 5680 T^{4} + 1272 T^{5} - 126405 T^{6} + 1191016 T^{7} + 7890481 T^{8} \))(\( 1 + 8 T - 45 T^{2} + 24 T^{3} + 5680 T^{4} + 1272 T^{5} - 126405 T^{6} + 1191016 T^{7} + 7890481 T^{8} \))(\( 1 + 40 T + 800 T^{2} + 11880 T^{3} + 147222 T^{4} + 1477736 T^{5} + 11899040 T^{6} + 74456936 T^{7} + 249326879 T^{8} - 1557249200 T^{9} - 37151695552 T^{10} - 419908594096 T^{11} - 3501062916044 T^{12} - 22255155487088 T^{13} - 104359112805568 T^{14} - 231838589148400 T^{15} + 1967309001538799 T^{16} + 31137555057789448 T^{17} + 263734619648416160 T^{18} + 1735912940938169032 T^{19} + 9165996141741389142 T^{20} + 39201191470609340040 T^{21} + \)\(13\!\cdots\!00\)\( T^{22} + \)\(37\!\cdots\!80\)\( T^{23} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 - 40 T + 800 T^{2} - 11880 T^{3} + 147222 T^{4} - 1477736 T^{5} + 11899040 T^{6} - 74456936 T^{7} + 249326879 T^{8} + 1557249200 T^{9} - 37151695552 T^{10} + 419908594096 T^{11} - 3501062916044 T^{12} + 22255155487088 T^{13} - 104359112805568 T^{14} + 231838589148400 T^{15} + 1967309001538799 T^{16} - 31137555057789448 T^{17} + 263734619648416160 T^{18} - 1735912940938169032 T^{19} + 9165996141741389142 T^{20} - 39201191470609340040 T^{21} + \)\(13\!\cdots\!00\)\( T^{22} - \)\(37\!\cdots\!80\)\( T^{23} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 + 1778 T^{4} + 7890481 T^{8} \))(\( 1 + 1778 T^{4} + 7890481 T^{8} \))(\( ( 1 + 2 T + 2 T^{2} + 106 T^{3} + 2809 T^{4} )^{2} \))(\( ( 1 - 5582 T^{4} + 7890481 T^{8} )^{2} \))(\( ( 1 + 12 T + 72 T^{2} + 572 T^{3} + 1780 T^{4} - 1436 T^{5} + 18200 T^{6} + 441076 T^{7} + 6254598 T^{8} + 23377028 T^{9} + 51123800 T^{10} - 213787372 T^{11} + 14045056180 T^{12} + 239207821996 T^{13} + 1595834001288 T^{14} + 14096533678044 T^{15} + 62259690411361 T^{16} )^{2} \))(\( 1 - 38 T^{2} - 1365 T^{4} - 106742 T^{6} + 7890481 T^{8} \))(\( 1 - 6 T + 65 T^{2} - 318 T^{3} + 2809 T^{4} \))(\( ( 1 + 53 T^{2} )^{8} \))(\( ( 1 + 62 T^{2} + 1035 T^{4} + 174158 T^{6} + 7890481 T^{8} )^{2} \))(\( 1 + 6 T + 65 T^{2} + 318 T^{3} + 2809 T^{4} \))(\( 1 + 70 T^{2} + 2091 T^{4} + 196630 T^{6} + 7890481 T^{8} \))(\( 1 + 264 T^{2} + 35652 T^{4} + 3177712 T^{6} + 212585578 T^{8} + 12279652216 T^{10} + 710817442960 T^{12} + 42611108403128 T^{14} + 2398437218467955 T^{16} + 119694603504386552 T^{18} + 5608691528144463760 T^{20} + \)\(27\!\cdots\!64\)\( T^{22} + \)\(13\!\cdots\!58\)\( T^{24} + \)\(55\!\cdots\!88\)\( T^{26} + \)\(17\!\cdots\!32\)\( T^{28} + \)\(36\!\cdots\!16\)\( T^{30} + \)\(38\!\cdots\!21\)\( T^{32} \))(\( ( 1 + 108 T^{2} + 3242 T^{4} + 302832 T^{6} + 30275427 T^{8} + 850655088 T^{10} + 25580939402 T^{12} + 2393751001932 T^{14} + 62259690411361 T^{16} )^{2} \))(\( ( 1 - 70 T^{2} + 2809 T^{4} )^{2} \))(\( ( 1 - 53 T^{2} )^{4} \))(\( 1 - 12 T + 290 T^{2} - 2904 T^{3} + 41501 T^{4} - 314064 T^{5} + 3427926 T^{6} - 18869580 T^{7} + 172940890 T^{8} - 534860628 T^{9} + 5470600330 T^{10} + 1694225472 T^{11} + 171503876389 T^{12} + 89793950016 T^{13} + 15366916326970 T^{14} - 79628445714756 T^{15} + 1364586806668090 T^{16} - 7891173310802940 T^{17} + 75977789787488454 T^{18} - 368934479421767568 T^{19} + 2583839411761892861 T^{20} - 9582513470593394232 T^{21} + 50717366405998784210 T^{22} - \)\(11\!\cdots\!64\)\( T^{23} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 + 12 T + 290 T^{2} + 2904 T^{3} + 41501 T^{4} + 314064 T^{5} + 3427926 T^{6} + 18869580 T^{7} + 172940890 T^{8} + 534860628 T^{9} + 5470600330 T^{10} - 1694225472 T^{11} + 171503876389 T^{12} - 89793950016 T^{13} + 15366916326970 T^{14} + 79628445714756 T^{15} + 1364586806668090 T^{16} + 7891173310802940 T^{17} + 75977789787488454 T^{18} + 368934479421767568 T^{19} + 2583839411761892861 T^{20} + 9582513470593394232 T^{21} + 50717366405998784210 T^{22} + \)\(11\!\cdots\!64\)\( T^{23} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 - 94 T^{2} + 2809 T^{4} \))(\( 1 - 58 T^{2} + 2809 T^{4} \))(\( 1 - 58 T^{2} + 2809 T^{4} \))(\( 1 - 94 T^{2} + 2809 T^{4} \))(\( 1 + 86 T^{2} + 2809 T^{4} \))(\( 1 - 94 T^{2} + 2809 T^{4} \))(\( 1 - 94 T^{2} + 2809 T^{4} \))(\( 1 + 86 T^{2} + 2809 T^{4} \))(\( 1 - 38 T^{2} - 1365 T^{4} - 106742 T^{6} + 7890481 T^{8} \))(\( 1 + 4 T + 20 T^{2} + 244 T^{3} - 1097 T^{4} + 12932 T^{5} + 56180 T^{6} + 595508 T^{7} + 7890481 T^{8} \))(\( 1 - 14 T + 74 T^{2} - 8 T^{3} - 2537 T^{4} - 424 T^{5} + 207866 T^{6} - 2084278 T^{7} + 7890481 T^{8} \))(\( 1 + 10 T + 74 T^{2} + 520 T^{3} + 2551 T^{4} + 27560 T^{5} + 207866 T^{6} + 1488770 T^{7} + 7890481 T^{8} \))(\( 1 - 8 T + 20 T^{2} + 196 T^{3} - 3641 T^{4} + 10388 T^{5} + 56180 T^{6} - 1191016 T^{7} + 7890481 T^{8} \))(\( ( 1 - 4 T - 37 T^{2} - 212 T^{3} + 2809 T^{4} )( 1 + 14 T + 143 T^{2} + 742 T^{3} + 2809 T^{4} ) \))(\( ( 1 - 4 T - 37 T^{2} - 212 T^{3} + 2809 T^{4} )( 1 + 14 T + 143 T^{2} + 742 T^{3} + 2809 T^{4} ) \))(\( 1 - 14 T + 74 T^{2} - 8 T^{3} - 2537 T^{4} - 424 T^{5} + 207866 T^{6} - 2084278 T^{7} + 7890481 T^{8} \))(\( 1 - 8 T + 20 T^{2} + 196 T^{3} - 3641 T^{4} + 10388 T^{5} + 56180 T^{6} - 1191016 T^{7} + 7890481 T^{8} \))(\( 1 + 10 T + 74 T^{2} + 520 T^{3} + 2551 T^{4} + 27560 T^{5} + 207866 T^{6} + 1488770 T^{7} + 7890481 T^{8} \))(\( 1 + 4 T + 20 T^{2} + 244 T^{3} - 1097 T^{4} + 12932 T^{5} + 56180 T^{6} + 595508 T^{7} + 7890481 T^{8} \))
$59$ (\( 1 + 4 T + 59 T^{2} \))(\( 1 + 59 T^{2} \))(\( ( 1 - 4 T + 59 T^{2} )^{2} \))(\( 1 + 38 T^{2} + 3481 T^{4} \))(\( ( 1 - 4 T + 59 T^{2} )^{2} \))(\( ( 1 + 4 T + 59 T^{2} )^{2} \))(\( ( 1 - 12 T + 142 T^{2} - 708 T^{3} + 3481 T^{4} )^{2} \))(\( ( 1 + 12 T + 142 T^{2} + 708 T^{3} + 3481 T^{4} )^{2} \))(\( ( 1 - 10 T + 59 T^{2} )^{2} \))(\( ( 1 - 8 T + 59 T^{2} )^{2} \))(\( ( 1 + 8 T + 59 T^{2} )^{2} \))(\( ( 1 + 8 T + 59 T^{2} )^{2} \))(\( ( 1 - 16 T + 113 T^{2} - 608 T^{3} + 6667 T^{4} - 55696 T^{5} + 205379 T^{6} )^{2} \))(\( ( 1 + 92 T^{2} + 4374 T^{4} + 320252 T^{6} + 12117361 T^{8} )^{4} \))(\( 1 + 14 T + 137 T^{2} + 826 T^{3} + 3481 T^{4} \))(\( 1 + 6 T - 23 T^{2} + 354 T^{3} + 3481 T^{4} \))(\( 1 - 13 T - 39 T^{2} + 934 T^{3} + 1620 T^{4} - 17751 T^{5} - 381692 T^{6} - 173558 T^{7} + 35373867 T^{8} - 10239922 T^{9} - 1328669852 T^{10} - 3645682629 T^{11} + 19630124820 T^{12} + 667739295266 T^{13} - 1645040811999 T^{14} - 32352469302647 T^{15} + 146830437604321 T^{16} \))(\( 1 + 19 T + 59 T^{2} - 876 T^{3} - 244 T^{4} + 106457 T^{5} + 689896 T^{6} + 657732 T^{7} - 7735313 T^{8} + 38806188 T^{9} + 2401527976 T^{10} + 21864032203 T^{11} - 2956636084 T^{12} - 626273685924 T^{13} + 2488651484819 T^{14} + 47284378211561 T^{15} + 146830437604321 T^{16} \))(\( 1 - 21 T + 31 T^{2} + 1548 T^{3} + 1085 T^{4} - 95916 T^{5} - 961065 T^{6} + 11023368 T^{7} + 57284362 T^{8} - 412976394 T^{9} - 5014563901 T^{10} - 1966652877 T^{11} + 492853263145 T^{12} - 116032519743 T^{13} - 17455696939381 T^{14} - 84816678823326 T^{15} + 694135294008682 T^{16} + 7880873640019032 T^{17} - 40538234563687665 T^{18} - 238701495817899204 T^{19} + 159311024800688285 T^{20} + 13410317527277845572 T^{21} + 15844619352319883431 T^{22} - \)\(63\!\cdots\!39\)\( T^{23} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 + 7 T - 253 T^{2} - 1432 T^{3} + 34994 T^{4} + 154249 T^{5} - 3340312 T^{6} - 13153948 T^{7} + 235615798 T^{8} + 1028459735 T^{9} - 13624035805 T^{10} - 71911153079 T^{11} + 749305929396 T^{12} + 3788827420407 T^{13} - 43280647002525 T^{14} - 92100685540933 T^{15} + 2571044091919703 T^{16} - 5433940446915047 T^{17} - 150659932215789525 T^{18} + 778145586775769253 T^{19} + 9079610445931843956 T^{20} - 51411030705285766621 T^{21} - \)\(57\!\cdots\!05\)\( T^{22} + \)\(25\!\cdots\!65\)\( T^{23} + \)\(34\!\cdots\!58\)\( T^{24} - \)\(11\!\cdots\!72\)\( T^{25} - \)\(17\!\cdots\!12\)\( T^{26} + \)\(46\!\cdots\!91\)\( T^{27} + \)\(62\!\cdots\!14\)\( T^{28} - \)\(15\!\cdots\!28\)\( T^{29} - \)\(15\!\cdots\!33\)\( T^{30} + \)\(25\!\cdots\!93\)\( T^{31} + \)\(21\!\cdots\!41\)\( T^{32} \))(\( 1 + 8 T + 5 T^{2} + 472 T^{3} + 3481 T^{4} \))(\( 1 + 6 T - 23 T^{2} + 354 T^{3} + 3481 T^{4} \))(\( 1 - 10 T - 16 T^{2} + 20 T^{3} + 4075 T^{4} + 1180 T^{5} - 55696 T^{6} - 2053790 T^{7} + 12117361 T^{8} \))(\( 1 - 116 T^{2} + 9975 T^{4} - 403796 T^{6} + 12117361 T^{8} \))(\( 1 + 8 T + 2 T^{2} - 448 T^{3} - 3413 T^{4} - 26432 T^{5} + 6962 T^{6} + 1643032 T^{7} + 12117361 T^{8} \))(\( 1 + 4 T + 9 T^{2} - 472 T^{3} - 1364 T^{4} + 12370 T^{5} + 414671 T^{6} + 729830 T^{7} - 4748084 T^{8} - 96938888 T^{9} + 109056249 T^{10} + 2859697196 T^{11} + 42180533641 T^{12} \))(\( 1 - 4 T + 9 T^{2} + 472 T^{3} - 1364 T^{4} - 12370 T^{5} + 414671 T^{6} - 729830 T^{7} - 4748084 T^{8} + 96938888 T^{9} + 109056249 T^{10} - 2859697196 T^{11} + 42180533641 T^{12} \))(\( 1 - 16 T + 87 T^{2} - 816 T^{3} + 9976 T^{4} - 48144 T^{5} + 302847 T^{6} - 3286064 T^{7} + 12117361 T^{8} \))(\( ( 1 + 16 T + 169 T^{2} + 944 T^{3} + 3481 T^{4} )^{2} \))(\( ( 1 + 40 T + 986 T^{2} + 16824 T^{3} + 222455 T^{4} + 2325552 T^{5} + 19830604 T^{6} + 137207568 T^{7} + 774365855 T^{8} + 3455296296 T^{9} + 11947717946 T^{10} + 28596971960 T^{11} + 42180533641 T^{12} )^{2} \))(\( ( 1 - 40 T + 986 T^{2} - 16824 T^{3} + 222455 T^{4} - 2325552 T^{5} + 19830604 T^{6} - 137207568 T^{7} + 774365855 T^{8} - 3455296296 T^{9} + 11947717946 T^{10} - 28596971960 T^{11} + 42180533641 T^{12} )^{2} \))(\( ( 1 + 59 T^{2} )^{4} \))(\( ( 1 + 59 T^{2} )^{4} \))(\( ( 1 + 28 T^{2} + 3481 T^{4} )^{2} \))(\( ( 1 + 59 T^{2} )^{8} \))(\( ( 1 + 312 T^{2} + 49660 T^{4} + 5040712 T^{6} + 354176614 T^{8} + 17546718472 T^{10} + 601748147260 T^{12} + 13160326495992 T^{14} + 146830437604321 T^{16} )^{2} \))(\( ( 1 + 4 T + 59 T^{2} )^{4} \))(\( ( 1 + 59 T^{2} )^{2} \))(\( ( 1 - 59 T^{2} + 3481 T^{4} )^{4} \))(\( ( 1 - 64 T^{2} + 615 T^{4} - 222784 T^{6} + 12117361 T^{8} )^{2} \))(\( 1 - 59 T^{2} + 3481 T^{4} \))(\( ( 1 + 10 T + 41 T^{2} + 590 T^{3} + 3481 T^{4} )^{2} \))(\( ( 1 + 2 T - 226 T^{2} - 236 T^{3} + 32016 T^{4} + 19820 T^{5} - 2961940 T^{6} - 407278 T^{7} + 205790979 T^{8} - 24029402 T^{9} - 10310513140 T^{10} + 4070611780 T^{11} + 387949429776 T^{12} - 168722134564 T^{13} - 9532800602866 T^{14} + 4977302969638 T^{15} + 146830437604321 T^{16} )^{2} \))(\( ( 1 - 166 T^{2} + 14888 T^{4} - 947196 T^{6} + 52438427 T^{8} - 3297189276 T^{10} + 180403270568 T^{12} - 7001968584406 T^{14} + 146830437604321 T^{16} )^{2} \))(\( ( 1 - 4 T - 43 T^{2} - 236 T^{3} + 3481 T^{4} )^{2} \))(\( ( 1 + 14 T + 137 T^{2} + 826 T^{3} + 3481 T^{4} )^{2} \))(\( 1 + 24 T + 84 T^{2} - 1128 T^{3} + 9885 T^{4} + 197484 T^{5} - 900376 T^{6} - 12268224 T^{7} + 92002038 T^{8} + 411544404 T^{9} - 9205294494 T^{10} - 19136016684 T^{11} + 471190351413 T^{12} - 1129024984356 T^{13} - 32043630133614 T^{14} + 84522578149116 T^{15} + 1114821907181718 T^{16} - 8770851443174976 T^{17} - 37978340157549016 T^{18} + 491468849827995396 T^{19} + 1451418875718713085 T^{20} - 9771859283442771192 T^{21} + 42933807277253877684 T^{22} + \)\(72\!\cdots\!16\)\( T^{23} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 - 24 T + 84 T^{2} + 1128 T^{3} + 9885 T^{4} - 197484 T^{5} - 900376 T^{6} + 12268224 T^{7} + 92002038 T^{8} - 411544404 T^{9} - 9205294494 T^{10} + 19136016684 T^{11} + 471190351413 T^{12} + 1129024984356 T^{13} - 32043630133614 T^{14} - 84522578149116 T^{15} + 1114821907181718 T^{16} + 8770851443174976 T^{17} - 37978340157549016 T^{18} - 491468849827995396 T^{19} + 1451418875718713085 T^{20} + 9771859283442771192 T^{21} + 42933807277253877684 T^{22} - \)\(72\!\cdots\!16\)\( T^{23} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 + 6 T - 23 T^{2} + 354 T^{3} + 3481 T^{4} \))(\( 1 + 6 T - 23 T^{2} + 354 T^{3} + 3481 T^{4} \))(\( 1 - 6 T - 23 T^{2} - 354 T^{3} + 3481 T^{4} \))(\( 1 - 6 T - 23 T^{2} - 354 T^{3} + 3481 T^{4} \))(\( 1 - 59 T^{2} + 3481 T^{4} \))(\( 1 - 59 T^{2} + 3481 T^{4} \))(\( 1 - 59 T^{2} + 3481 T^{4} \))(\( 1 - 59 T^{2} + 3481 T^{4} \))(\( ( 1 - 4 T - 43 T^{2} - 236 T^{3} + 3481 T^{4} )^{2} \))(\( ( 1 + 6 T - 20 T^{2} + 354 T^{3} + 3481 T^{4} )^{2} \))(\( ( 1 + 106 T^{2} + 3481 T^{4} )^{2} \))(\( ( 1 + 106 T^{2} + 3481 T^{4} )^{2} \))(\( ( 1 - 6 T - 20 T^{2} - 354 T^{3} + 3481 T^{4} )^{2} \))(\( 1 - 6 T - 64 T^{2} + 108 T^{3} + 4395 T^{4} + 6372 T^{5} - 222784 T^{6} - 1232274 T^{7} + 12117361 T^{8} \))(\( 1 + 6 T - 64 T^{2} - 108 T^{3} + 4395 T^{4} - 6372 T^{5} - 222784 T^{6} + 1232274 T^{7} + 12117361 T^{8} \))(\( 1 - 106 T^{2} + 7755 T^{4} - 368986 T^{6} + 12117361 T^{8} \))(\( 1 + 6 T + 56 T^{2} - 828 T^{3} - 5205 T^{4} - 48852 T^{5} + 194936 T^{6} + 1232274 T^{7} + 12117361 T^{8} \))(\( 1 - 106 T^{2} + 7755 T^{4} - 368986 T^{6} + 12117361 T^{8} \))(\( 1 - 6 T + 56 T^{2} + 828 T^{3} - 5205 T^{4} + 48852 T^{5} + 194936 T^{6} - 1232274 T^{7} + 12117361 T^{8} \))
$61$ (\( 1 + 2 T + 61 T^{2} \))(\( 1 - 8 T + 61 T^{2} \))(\( ( 1 - 6 T + 61 T^{2} )^{2} \))(\( ( 1 + 2 T + 61 T^{2} )^{2} \))(\( 1 - 6 T - 22 T^{2} - 366 T^{3} + 3721 T^{4} \))(\( ( 1 - 6 T + 61 T^{2} )^{2} \))(\( 1 - 52 T^{2} + 1206 T^{4} - 193492 T^{6} + 13845841 T^{8} \))(\( 1 - 52 T^{2} + 1206 T^{4} - 193492 T^{6} + 13845841 T^{8} \))(\( ( 1 + 8 T + 61 T^{2} )^{2} \))(\( ( 1 - 10 T + 61 T^{2} )^{2} \))(\( ( 1 + 2 T + 61 T^{2} )^{2} \))(\( ( 1 - 10 T + 61 T^{2} )^{2} \))(\( ( 1 + 6 T + 131 T^{2} + 484 T^{3} + 7991 T^{4} + 22326 T^{5} + 226981 T^{6} )^{2} \))(\( ( 1 - 52 T^{2} + 6582 T^{4} - 193492 T^{6} + 13845841 T^{8} )^{4} \))(\( 1 + 4 T - 45 T^{2} + 244 T^{3} + 3721 T^{4} \))(\( ( 1 + T + 61 T^{2} )( 1 + 13 T + 61 T^{2} ) \))(\( 1 - 32 T + 429 T^{2} - 4324 T^{3} + 51554 T^{4} - 537888 T^{5} + 4331413 T^{6} - 37090382 T^{7} + 322144443 T^{8} - 2262513302 T^{9} + 16117187773 T^{10} - 122090356128 T^{11} + 713808486914 T^{12} - 3652034405524 T^{13} + 22102240600869 T^{14} - 100567770752672 T^{15} + 191707312997281 T^{16} \))(\( 1 - 12 T - 49 T^{2} + 852 T^{3} + 1876 T^{4} - 9576 T^{5} - 372571 T^{6} + 33096 T^{7} + 27681967 T^{8} + 2018856 T^{9} - 1386336691 T^{10} - 2173570056 T^{11} + 25974797716 T^{12} + 719596048452 T^{13} - 2524498343689 T^{14} - 37712914032252 T^{15} + 191707312997281 T^{16} \))(\( 1 + 2 T - 229 T^{2} + 106 T^{3} + 27669 T^{4} - 60786 T^{5} - 2252600 T^{6} + 7627838 T^{7} + 144871004 T^{8} - 483509158 T^{9} - 8189045917 T^{10} + 12920273306 T^{11} + 479371943129 T^{12} + 788136671666 T^{13} - 30471439857157 T^{14} - 109747392191998 T^{15} + 2005860886894364 T^{16} + 6442443759427238 T^{17} - 116054795285588600 T^{18} - 191034766030372506 T^{19} + 5304349643321767989 T^{20} + 1239579485840418946 T^{21} - \)\(16\!\cdots\!29\)\( T^{22} + 87027835222871677322 T^{23} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( 1 + 24 T + 19 T^{2} - 3276 T^{3} - 8256 T^{4} + 259110 T^{5} - 422515 T^{6} - 22871148 T^{7} + 156657818 T^{8} + 2168029494 T^{9} - 15387409002 T^{10} - 138383636634 T^{11} + 1199692712956 T^{12} + 4463711557584 T^{13} - 105028925164004 T^{14} - 58126091327262 T^{15} + 7596603299571471 T^{16} - 3545691570962982 T^{17} - 390812630535258884 T^{18} + 1013177713051973904 T^{19} + 16610754552447415996 T^{20} - \)\(11\!\cdots\!34\)\( T^{21} - \)\(79\!\cdots\!22\)\( T^{22} + \)\(68\!\cdots\!74\)\( T^{23} + \)\(30\!\cdots\!58\)\( T^{24} - \)\(26\!\cdots\!68\)\( T^{25} - \)\(30\!\cdots\!15\)\( T^{26} + \)\(11\!\cdots\!10\)\( T^{27} - \)\(21\!\cdots\!76\)\( T^{28} - \)\(53\!\cdots\!56\)\( T^{29} + \)\(18\!\cdots\!79\)\( T^{30} + \)\(14\!\cdots\!24\)\( T^{31} + \)\(36\!\cdots\!61\)\( T^{32} \))(\( ( 1 - 13 T + 61 T^{2} )( 1 - T + 61 T^{2} ) \))(\( 1 + 2 T - 57 T^{2} + 122 T^{3} + 3721 T^{4} \))(\( ( 1 + 4 T - 45 T^{2} + 244 T^{3} + 3721 T^{4} )^{2} \))(\( 1 + 8 T - 2 T^{2} - 448 T^{3} - 3269 T^{4} - 27328 T^{5} - 7442 T^{6} + 1815848 T^{7} + 13845841 T^{8} \))(\( 1 - 6 T - 23 T^{2} + 378 T^{3} - 2436 T^{4} + 23058 T^{5} - 85583 T^{6} - 1361886 T^{7} + 13845841 T^{8} \))(\( 1 - 22 T + 157 T^{2} - 1322 T^{3} + 22390 T^{4} - 164266 T^{5} + 750425 T^{6} - 10020226 T^{7} + 83313190 T^{8} - 300068882 T^{9} + 2173797037 T^{10} - 18581118622 T^{11} + 51520374361 T^{12} \))(\( 1 - 22 T + 157 T^{2} - 1322 T^{3} + 22390 T^{4} - 164266 T^{5} + 750425 T^{6} - 10020226 T^{7} + 83313190 T^{8} - 300068882 T^{9} + 2173797037 T^{10} - 18581118622 T^{11} + 51520374361 T^{12} \))(\( 1 - 6 T - 43 T^{2} + 258 T^{3} + 324 T^{4} + 15738 T^{5} - 160003 T^{6} - 1361886 T^{7} + 13845841 T^{8} \))(\( ( 1 + 6 T + 79 T^{2} + 366 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 + 16 T + 254 T^{2} + 2800 T^{3} + 31591 T^{4} + 270400 T^{5} + 2316548 T^{6} + 16494400 T^{7} + 117550111 T^{8} + 635546800 T^{9} + 3516843614 T^{10} + 13513540816 T^{11} + 51520374361 T^{12} )^{2} \))(\( ( 1 + 16 T + 254 T^{2} + 2800 T^{3} + 31591 T^{4} + 270400 T^{5} + 2316548 T^{6} + 16494400 T^{7} + 117550111 T^{8} + 635546800 T^{9} + 3516843614 T^{10} + 13513540816 T^{11} + 51520374361 T^{12} )^{2} \))(\( ( 1 + 38 T^{2} + 3721 T^{4} )^{2} \))(\( ( 1 + 38 T^{2} + 3721 T^{4} )^{2} \))(\( ( 1 - 82 T^{2} + 3721 T^{4} )^{2} \))(\( ( 1 - 61 T^{2} )^{8} \))(\( ( 1 - 200 T^{2} + 17532 T^{4} - 857912 T^{6} + 37932838 T^{8} - 3192290552 T^{10} + 242745284412 T^{12} - 10304074872200 T^{14} + 191707312997281 T^{16} )^{2} \))(\( ( 1 - 7 T + 61 T^{2} )^{4} \))(\( 1 + 25 T^{2} + 3721 T^{4} \))(\( ( 1 + 61 T^{2} + 3721 T^{4} )^{4} \))(\( ( 1 + 18 T + 169 T^{2} + 1098 T^{3} + 3721 T^{4} )^{4} \))(\( 1 + 21 T + 208 T^{2} + 1281 T^{3} + 3721 T^{4} \))(\( ( 1 + 7 T - 12 T^{2} + 427 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 - 8 T - 80 T^{2} + 376 T^{3} + 3998 T^{4} + 13396 T^{5} - 247632 T^{6} - 798752 T^{7} + 15355491 T^{8} - 48723872 T^{9} - 921438672 T^{10} + 3040637476 T^{11} + 55355672318 T^{12} + 317568209176 T^{13} - 4121629948880 T^{14} - 25141942688168 T^{15} + 191707312997281 T^{16} )^{2} \))(\( ( 1 + 6 T - 88 T^{2} + 12 T^{3} + 9459 T^{4} + 732 T^{5} - 327448 T^{6} + 1361886 T^{7} + 13845841 T^{8} )^{4} \))(\( ( 1 + 10 T + 39 T^{2} + 610 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 + 10 T + 39 T^{2} + 610 T^{3} + 3721 T^{4} )^{2} \))(\( 1 + 138 T^{2} + 5889 T^{4} - 41004 T^{5} - 102418 T^{6} - 5059224 T^{7} - 8898402 T^{8} - 158765292 T^{9} + 1660743870 T^{10} + 9579987756 T^{11} + 189206615181 T^{12} + 584379253116 T^{13} + 6179627940270 T^{14} - 36036704743452 T^{15} - 123205859246082 T^{16} - 4273001876330424 T^{17} - 5276613701304898 T^{18} - 128865027248205084 T^{19} + 1128964366240987809 T^{20} + 98441321809477798938 T^{22} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( 1 + 138 T^{2} + 5889 T^{4} - 41004 T^{5} - 102418 T^{6} - 5059224 T^{7} - 8898402 T^{8} - 158765292 T^{9} + 1660743870 T^{10} + 9579987756 T^{11} + 189206615181 T^{12} + 584379253116 T^{13} + 6179627940270 T^{14} - 36036704743452 T^{15} - 123205859246082 T^{16} - 4273001876330424 T^{17} - 5276613701304898 T^{18} - 128865027248205084 T^{19} + 1128964366240987809 T^{20} + 98441321809477798938 T^{22} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( ( 1 + T + 61 T^{2} )( 1 + 14 T + 61 T^{2} ) \))(\( 1 + 6 T + 73 T^{2} + 366 T^{3} + 3721 T^{4} \))(\( 1 - 6 T + 73 T^{2} - 366 T^{3} + 3721 T^{4} \))(\( ( 1 - 14 T + 61 T^{2} )( 1 - T + 61 T^{2} ) \))(\( 1 - 6 T + 73 T^{2} - 366 T^{3} + 3721 T^{4} \))(\( ( 1 - 13 T + 61 T^{2} )( 1 + T + 61 T^{2} ) \))(\( ( 1 - T + 61 T^{2} )( 1 + 13 T + 61 T^{2} ) \))(\( 1 + 6 T + 73 T^{2} + 366 T^{3} + 3721 T^{4} \))(\( ( 1 + 7 T - 12 T^{2} + 427 T^{3} + 3721 T^{4} )^{2} \))(\( 1 - 116 T^{2} + 7734 T^{4} - 431636 T^{6} + 13845841 T^{8} \))(\( 1 - 26 T^{2} + 7179 T^{4} - 96746 T^{6} + 13845841 T^{8} \))(\( 1 - 26 T^{2} + 7179 T^{4} - 96746 T^{6} + 13845841 T^{8} \))(\( 1 - 116 T^{2} + 7734 T^{4} - 431636 T^{6} + 13845841 T^{8} \))(\( 1 + 12 T + 157 T^{2} + 1308 T^{3} + 11088 T^{4} + 79788 T^{5} + 584197 T^{6} + 2723772 T^{7} + 13845841 T^{8} \))(\( 1 + 12 T + 157 T^{2} + 1308 T^{3} + 11088 T^{4} + 79788 T^{5} + 584197 T^{6} + 2723772 T^{7} + 13845841 T^{8} \))(\( 1 + 36 T + 661 T^{2} + 8244 T^{3} + 75072 T^{4} + 502884 T^{5} + 2459581 T^{6} + 8171316 T^{7} + 13845841 T^{8} \))(\( 1 - 24 T + 346 T^{2} - 3696 T^{3} + 31707 T^{4} - 225456 T^{5} + 1287466 T^{6} - 5447544 T^{7} + 13845841 T^{8} \))(\( 1 + 36 T + 661 T^{2} + 8244 T^{3} + 75072 T^{4} + 502884 T^{5} + 2459581 T^{6} + 8171316 T^{7} + 13845841 T^{8} \))(\( 1 - 24 T + 346 T^{2} - 3696 T^{3} + 31707 T^{4} - 225456 T^{5} + 1287466 T^{6} - 5447544 T^{7} + 13845841 T^{8} \))
$67$ (\( 1 - 4 T + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 + 8 T + 22 T^{2} + 536 T^{3} + 4489 T^{4} \))(\( ( 1 + 4 T + 67 T^{2} )^{2} \))(\( 1 - 4 T + 70 T^{2} - 268 T^{3} + 4489 T^{4} \))(\( 1 + 8 T + 22 T^{2} + 536 T^{3} + 4489 T^{4} \))(\( ( 1 + 8 T + 102 T^{2} + 536 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 + 8 T + 102 T^{2} + 536 T^{3} + 4489 T^{4} )^{2} \))(\( 1 - 130 T^{2} + 4489 T^{4} \))(\( 1 - 70 T^{2} + 4489 T^{4} \))(\( 1 + 122 T^{2} + 4489 T^{4} \))(\( 1 - 70 T^{2} + 4489 T^{4} \))(\( 1 - 274 T^{2} + 36103 T^{4} - 2962972 T^{6} + 162066367 T^{8} - 5521407154 T^{10} + 90458382169 T^{12} \))(\( ( 1 - 124 T^{2} + 12438 T^{4} - 556636 T^{6} + 20151121 T^{8} )^{4} \))(\( 1 - 2 T - 63 T^{2} - 134 T^{3} + 4489 T^{4} \))(\( 1 + 14 T + 129 T^{2} + 938 T^{3} + 4489 T^{4} \))(\( 1 - 209 T^{2} + 72 T^{3} + 24028 T^{4} - 9936 T^{5} - 2229779 T^{6} + 300708 T^{7} + 169918447 T^{8} + 20147436 T^{9} - 10009477931 T^{10} - 2988381168 T^{11} + 484191135388 T^{12} + 97209007704 T^{13} - 18905801873321 T^{14} + 406067677556641 T^{16} \))(\( ( 1 - 11 T - 42 T^{2} - 319 T^{3} + 13973 T^{4} - 21373 T^{5} - 188538 T^{6} - 3308393 T^{7} + 20151121 T^{8} )^{2} \))(\( 1 + 6 T - 135 T^{2} - 1082 T^{3} + 1827 T^{4} + 35682 T^{5} + 102358 T^{6} + 2130660 T^{7} + 45193590 T^{8} + 41844472 T^{9} - 3116106003 T^{10} - 9659182248 T^{11} + 64516763713 T^{12} - 647165210616 T^{13} - 13988199847467 T^{14} + 12585268932136 T^{15} + 910701500514390 T^{16} + 2876657560480620 T^{17} + 9259139082054502 T^{18} + 216258311501135286 T^{19} + 741885646895983107 T^{20} - 29437470216791132654 T^{21} - \)\(24\!\cdots\!15\)\( T^{22} + \)\(73\!\cdots\!98\)\( T^{23} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( 1 + 16 T - 303 T^{2} - 5196 T^{3} + 65028 T^{4} + 1020572 T^{5} - 10522045 T^{6} - 137230818 T^{7} + 1450070274 T^{8} + 14061798986 T^{9} - 167697342162 T^{10} - 1081437670724 T^{11} + 16651518835248 T^{12} + 59637358262580 T^{13} - 1404138817994528 T^{14} - 1533447489642366 T^{15} + 101851891881704651 T^{16} - 102740981806038522 T^{17} - 6303179153977436192 T^{18} + 17936710783128348540 T^{19} + \)\(33\!\cdots\!08\)\( T^{20} - \)\(14\!\cdots\!68\)\( T^{21} - \)\(15\!\cdots\!78\)\( T^{22} + \)\(85\!\cdots\!78\)\( T^{23} + \)\(58\!\cdots\!34\)\( T^{24} - \)\(37\!\cdots\!46\)\( T^{25} - \)\(19\!\cdots\!05\)\( T^{26} + \)\(12\!\cdots\!76\)\( T^{27} + \)\(53\!\cdots\!08\)\( T^{28} - \)\(28\!\cdots\!52\)\( T^{29} - \)\(11\!\cdots\!87\)\( T^{30} + \)\(39\!\cdots\!88\)\( T^{31} + \)\(16\!\cdots\!81\)\( T^{32} \))(\( 1 + 7 T - 18 T^{2} + 469 T^{3} + 4489 T^{4} \))(\( 1 - 7 T - 18 T^{2} - 469 T^{3} + 4489 T^{4} \))(\( 1 - 12 T + 49 T^{2} + 468 T^{3} - 5112 T^{4} + 31356 T^{5} + 219961 T^{6} - 3609156 T^{7} + 20151121 T^{8} \))(\( 1 - 2 T + 31 T^{2} + 322 T^{3} - 4028 T^{4} + 21574 T^{5} + 139159 T^{6} - 601526 T^{7} + 20151121 T^{8} \))(\( 1 + 22 T + 231 T^{2} + 2618 T^{3} + 27092 T^{4} + 175406 T^{5} + 1036959 T^{6} + 6616786 T^{7} + 20151121 T^{8} \))(\( 1 - 15 T - 13 T^{2} + 148 T^{3} + 12813 T^{4} - 31397 T^{5} - 747766 T^{6} - 2103599 T^{7} + 57517557 T^{8} + 44512924 T^{9} - 261964573 T^{10} - 20251876605 T^{11} + 90458382169 T^{12} \))(\( 1 - 15 T - 13 T^{2} + 148 T^{3} + 12813 T^{4} - 31397 T^{5} - 747766 T^{6} - 2103599 T^{7} + 57517557 T^{8} + 44512924 T^{9} - 261964573 T^{10} - 20251876605 T^{11} + 90458382169 T^{12} \))(\( 1 - 6 T - 55 T^{2} + 258 T^{3} + 1380 T^{4} + 17286 T^{5} - 246895 T^{6} - 1804578 T^{7} + 20151121 T^{8} \))(\( ( 1 + 6 T + 91 T^{2} + 402 T^{3} + 4489 T^{4} )^{2} \))(\( 1 + 48 T + 1152 T^{2} + 18992 T^{3} + 248566 T^{4} + 2816976 T^{5} + 29214848 T^{6} + 287145808 T^{7} + 2747657919 T^{8} + 25947593440 T^{9} + 239514732288 T^{10} + 2122341535712 T^{11} + 17856126120308 T^{12} + 142196882892704 T^{13} + 1075181633240832 T^{14} + 7804076045794720 T^{15} + 55368387192377199 T^{16} + 387682764750601456 T^{17} + 2642727885393245312 T^{18} + 17072879135116363248 T^{19} + \)\(10\!\cdots\!06\)\( T^{20} + \)\(51\!\cdots\!24\)\( T^{21} + \)\(20\!\cdots\!48\)\( T^{22} + \)\(58\!\cdots\!84\)\( T^{23} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( 1 + 48 T + 1152 T^{2} + 18992 T^{3} + 248566 T^{4} + 2816976 T^{5} + 29214848 T^{6} + 287145808 T^{7} + 2747657919 T^{8} + 25947593440 T^{9} + 239514732288 T^{10} + 2122341535712 T^{11} + 17856126120308 T^{12} + 142196882892704 T^{13} + 1075181633240832 T^{14} + 7804076045794720 T^{15} + 55368387192377199 T^{16} + 387682764750601456 T^{17} + 2642727885393245312 T^{18} + 17072879135116363248 T^{19} + \)\(10\!\cdots\!06\)\( T^{20} + \)\(51\!\cdots\!24\)\( T^{21} + \)\(20\!\cdots\!48\)\( T^{22} + \)\(58\!\cdots\!84\)\( T^{23} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( ( 1 - 16 T + 128 T^{2} - 1072 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 - 16 T + 128 T^{2} - 1072 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 + 2 T + 2 T^{2} + 134 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 - 8 T + 32 T^{2} - 536 T^{3} + 4489 T^{4} )^{4} \))(\( ( 1 + 16 T + 128 T^{2} + 1424 T^{3} + 22436 T^{4} + 211280 T^{5} + 1522560 T^{6} + 15870032 T^{7} + 163564774 T^{8} + 1063292144 T^{9} + 6834771840 T^{10} + 63545206640 T^{11} + 452110550756 T^{12} + 1922578152368 T^{13} + 11578672917632 T^{14} + 96971385685168 T^{15} + 406067677556641 T^{16} )^{2} \))(\( ( 1 - 85 T^{2} + 4489 T^{4} )^{2} \))(\( ( 1 - 5 T + 67 T^{2} )^{2} \))(\( ( 1 + 67 T^{2} + 4489 T^{4} )^{4} \))(\( ( 1 - 55 T^{2} - 1464 T^{4} - 246895 T^{6} + 20151121 T^{8} )^{2} \))(\( ( 1 - 11 T + 67 T^{2} )( 1 + 16 T + 67 T^{2} ) \))(\( ( 1 - 13 T^{2} + 4489 T^{4} )( 1 + 122 T^{2} + 4489 T^{4} ) \))(\( 1 + 356 T^{2} + 63502 T^{4} + 8090208 T^{6} + 858425049 T^{8} + 80231005476 T^{10} + 6774300927054 T^{12} + 525083738078264 T^{14} + 37066264561921156 T^{16} + 2357100900233327096 T^{18} + \)\(13\!\cdots\!34\)\( T^{20} + \)\(72\!\cdots\!44\)\( T^{22} + \)\(34\!\cdots\!09\)\( T^{24} + \)\(14\!\cdots\!92\)\( T^{26} + \)\(51\!\cdots\!22\)\( T^{28} + \)\(13\!\cdots\!24\)\( T^{30} + \)\(16\!\cdots\!81\)\( T^{32} \))(\( ( 1 + 72 T^{2} + 3485 T^{4} - 524088 T^{6} - 40535496 T^{8} - 2352631032 T^{10} + 70226656685 T^{12} + 6513003516168 T^{14} + 406067677556641 T^{16} )^{2} \))(\( 1 + 118 T^{2} + 9435 T^{4} + 529702 T^{6} + 20151121 T^{8} \))(\( 1 + 34 T^{2} - 3333 T^{4} + 152626 T^{6} + 20151121 T^{8} \))(\( 1 - 6 T - 219 T^{2} + 1306 T^{3} + 22971 T^{4} - 120540 T^{5} - 1928636 T^{6} + 7225512 T^{7} + 163638939 T^{8} - 309627182 T^{9} - 13816766313 T^{10} + 6348931902 T^{11} + 1027244050774 T^{12} + 425378437434 T^{13} - 62023463979057 T^{14} - 93124400139866 T^{15} + 3297508060100619 T^{16} + 9755345162129784 T^{17} - 174461292352891484 T^{18} - 730558176905634420 T^{19} + 9327780621153600411 T^{20} + 35531733921561200782 T^{21} - \)\(39\!\cdots\!31\)\( T^{22} - \)\(73\!\cdots\!98\)\( T^{23} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( 1 - 6 T - 219 T^{2} + 1306 T^{3} + 22971 T^{4} - 120540 T^{5} - 1928636 T^{6} + 7225512 T^{7} + 163638939 T^{8} - 309627182 T^{9} - 13816766313 T^{10} + 6348931902 T^{11} + 1027244050774 T^{12} + 425378437434 T^{13} - 62023463979057 T^{14} - 93124400139866 T^{15} + 3297508060100619 T^{16} + 9755345162129784 T^{17} - 174461292352891484 T^{18} - 730558176905634420 T^{19} + 9327780621153600411 T^{20} + 35531733921561200782 T^{21} - \)\(39\!\cdots\!31\)\( T^{22} - \)\(73\!\cdots\!98\)\( T^{23} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( 1 - 13 T + 102 T^{2} - 871 T^{3} + 4489 T^{4} \))(\( 1 + 14 T + 129 T^{2} + 938 T^{3} + 4489 T^{4} \))(\( 1 + 14 T + 129 T^{2} + 938 T^{3} + 4489 T^{4} \))(\( 1 - 13 T + 102 T^{2} - 871 T^{3} + 4489 T^{4} \))(\( 1 + 8 T - 3 T^{2} + 536 T^{3} + 4489 T^{4} \))(\( 1 - 10 T + 33 T^{2} - 670 T^{3} + 4489 T^{4} \))(\( 1 - 10 T + 33 T^{2} - 670 T^{3} + 4489 T^{4} \))(\( 1 + 8 T - 3 T^{2} + 536 T^{3} + 4489 T^{4} \))(\( 1 + 85 T^{2} + 2736 T^{4} + 381565 T^{6} + 20151121 T^{8} \))(\( 1 + 4 T + 8 T^{2} + 180 T^{3} + 3566 T^{4} + 12060 T^{5} + 35912 T^{6} + 1203052 T^{7} + 20151121 T^{8} \))(\( 1 - 14 T + 98 T^{2} - 1092 T^{3} + 12047 T^{4} - 73164 T^{5} + 439922 T^{6} - 4210682 T^{7} + 20151121 T^{8} \))(\( 1 - 14 T + 98 T^{2} - 1092 T^{3} + 12047 T^{4} - 73164 T^{5} + 439922 T^{6} - 4210682 T^{7} + 20151121 T^{8} \))(\( 1 + 4 T + 8 T^{2} + 180 T^{3} + 3566 T^{4} + 12060 T^{5} + 35912 T^{6} + 1203052 T^{7} + 20151121 T^{8} \))(\( 1 - 8 T + 137 T^{2} - 1224 T^{3} + 11492 T^{4} - 82008 T^{5} + 614993 T^{6} - 2406104 T^{7} + 20151121 T^{8} \))(\( 1 + 22 T + 137 T^{2} - 834 T^{3} - 16648 T^{4} - 55878 T^{5} + 614993 T^{6} + 6616786 T^{7} + 20151121 T^{8} \))(\( 1 - 2 T + 65 T^{2} - 762 T^{3} + 2600 T^{4} - 51054 T^{5} + 291785 T^{6} - 601526 T^{7} + 20151121 T^{8} \))(\( 1 - 14 T + 74 T^{2} + 48 T^{3} - 4273 T^{4} + 3216 T^{5} + 332186 T^{6} - 4210682 T^{7} + 20151121 T^{8} \))(\( 1 + 16 T + 65 T^{2} - 960 T^{3} - 14284 T^{4} - 64320 T^{5} + 291785 T^{6} + 4812208 T^{7} + 20151121 T^{8} \))(\( 1 + 10 T + 74 T^{2} + 576 T^{3} + 2159 T^{4} + 38592 T^{5} + 332186 T^{6} + 3007630 T^{7} + 20151121 T^{8} \))
$71$ (\( 1 - 12 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 4 T + 74 T^{2} + 284 T^{3} + 5041 T^{4} \))(\( 1 + 20 T + 222 T^{2} + 1420 T^{3} + 5041 T^{4} \))(\( ( 1 + 8 T + 71 T^{2} )^{2} \))(\( 1 - 4 T + 74 T^{2} - 284 T^{3} + 5041 T^{4} \))(\( 1 + 32 T^{2} + 5538 T^{4} + 161312 T^{6} + 25411681 T^{8} \))(\( 1 + 32 T^{2} + 5538 T^{4} + 161312 T^{6} + 25411681 T^{8} \))(\( ( 1 - 8 T + 71 T^{2} )^{2} \))(\( ( 1 - 16 T + 71 T^{2} )^{2} \))(\( ( 1 + 10 T + 71 T^{2} )^{2} \))(\( ( 1 + 16 T + 71 T^{2} )^{2} \))(\( ( 1 + 2 T + 71 T^{2} )^{6} \))(\( ( 1 - 184 T^{2} + 18162 T^{4} - 927544 T^{6} + 25411681 T^{8} )^{4} \))(\( ( 1 + 9 T + 71 T^{2} )^{2} \))(\( ( 1 - 9 T + 71 T^{2} )^{2} \))(\( ( 1 - 13 T + 268 T^{2} - 2163 T^{3} + 26345 T^{4} - 153573 T^{5} + 1350988 T^{6} - 4652843 T^{7} + 25411681 T^{8} )^{2} \))(\( ( 1 - 13 T + 248 T^{2} - 1951 T^{3} + 23005 T^{4} - 138521 T^{5} + 1250168 T^{6} - 4652843 T^{7} + 25411681 T^{8} )^{2} \))(\( ( 1 + 29 T + 653 T^{2} + 10236 T^{3} + 134114 T^{4} + 1436171 T^{5} + 13182683 T^{6} + 101968141 T^{7} + 676068674 T^{8} + 3663576996 T^{9} + 16593827693 T^{10} + 52322651179 T^{11} + 128100283921 T^{12} )^{2} \))(\( ( 1 + 5 T + 278 T^{2} + 1065 T^{3} + 37904 T^{4} + 109648 T^{5} + 3610954 T^{6} + 7649988 T^{7} + 277532887 T^{8} + 543149148 T^{9} + 18202819114 T^{10} + 39244225328 T^{11} + 963204356624 T^{12} + 1921504258815 T^{13} + 35611878930038 T^{14} + 45475600791955 T^{15} + 645753531245761 T^{16} )^{2} \))(\( ( 1 + 6 T + 71 T^{2} )^{2} \))(\( ( 1 + 12 T + 71 T^{2} )^{2} \))(\( ( 1 + 2 T + 116 T^{2} + 142 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 - 4 T + 144 T^{2} - 284 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 - 8 T + 86 T^{2} - 568 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 - 16 T + 187 T^{2} - 1390 T^{3} + 13277 T^{4} - 80656 T^{5} + 357911 T^{6} )^{2} \))(\( ( 1 + 16 T + 187 T^{2} + 1390 T^{3} + 13277 T^{4} + 80656 T^{5} + 357911 T^{6} )^{2} \))(\( ( 1 + 71 T^{2} )^{4} \))(\( ( 1 + 71 T^{2} )^{4} \))(\( 1 - 404 T^{2} + 75490 T^{4} - 8307268 T^{6} + 571593487 T^{8} - 25299911144 T^{10} + 1141503138780 T^{12} - 127536852076904 T^{14} + 14525151353321647 T^{16} - 1064163389407837828 T^{18} + 48747934073742497890 T^{20} - \)\(13\!\cdots\!04\)\( T^{22} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( 1 - 404 T^{2} + 75490 T^{4} - 8307268 T^{6} + 571593487 T^{8} - 25299911144 T^{10} + 1141503138780 T^{12} - 127536852076904 T^{14} + 14525151353321647 T^{16} - 1064163389407837828 T^{18} + 48747934073742497890 T^{20} - \)\(13\!\cdots\!04\)\( T^{22} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( ( 1 + 52 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 + 52 T^{2} + 5041 T^{4} )^{2} \))(\( ( 1 - 6 T + 71 T^{2} )^{4} \))(\( ( 1 + 124 T^{2} + 5041 T^{4} )^{4} \))(\( ( 1 + 16 T + 232 T^{2} + 2376 T^{3} + 21730 T^{4} + 168696 T^{5} + 1169512 T^{6} + 5726576 T^{7} + 25411681 T^{8} )^{4} \))(\( ( 1 - 4 T + 71 T^{2} )^{4} \))(\( 1 - 94 T^{2} + 5041 T^{4} \))(\( ( 1 - 12 T + 73 T^{2} - 852 T^{3} + 5041 T^{4} )^{2}( 1 + 12 T + 73 T^{2} + 852 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 - 14 T^{2} + 5041 T^{4} )^{4} \))(\( 1 - 94 T^{2} + 5041 T^{4} \))(\( ( 1 - 2 T + 71 T^{2} )^{4} \))(\( ( 1 - 14 T + 194 T^{2} - 1648 T^{3} + 14264 T^{4} - 117008 T^{5} + 977954 T^{6} - 5010754 T^{7} + 25411681 T^{8} )^{4} \))(\( ( 1 + 214 T^{2} + 20684 T^{4} + 1078774 T^{6} + 25411681 T^{8} )^{4} \))(\( ( 1 + 5 T + 71 T^{2} )^{4} \))(\( ( 1 - 7 T + 71 T^{2} )^{4} \))(\( 1 - 460 T^{2} + 108410 T^{4} - 17445312 T^{6} + 2127087511 T^{8} - 205744741412 T^{10} + 16152616390624 T^{12} - 1037159241457892 T^{14} + 54052869288615991 T^{16} - 2234749420290428352 T^{18} + 70006140322352950010 T^{20} - \)\(14\!\cdots\!60\)\( T^{22} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( 1 - 460 T^{2} + 108410 T^{4} - 17445312 T^{6} + 2127087511 T^{8} - 205744741412 T^{10} + 16152616390624 T^{12} - 1037159241457892 T^{14} + 54052869288615991 T^{16} - 2234749420290428352 T^{18} + 70006140322352950010 T^{20} - \)\(14\!\cdots\!60\)\( T^{22} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( ( 1 - 71 T^{2} )^{2} \))(\( 1 - 115 T^{2} + 5041 T^{4} \))(\( 1 - 115 T^{2} + 5041 T^{4} \))(\( ( 1 - 71 T^{2} )^{2} \))(\( 1 - 139 T^{2} + 5041 T^{4} \))(\( 1 + 5 T^{2} + 5041 T^{4} \))(\( 1 + 5 T^{2} + 5041 T^{4} \))(\( 1 - 139 T^{2} + 5041 T^{4} \))(\( ( 1 - 4 T + 71 T^{2} )^{4} \))(\( ( 1 - 6 T + 148 T^{2} - 426 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 + 6 T + 71 T^{2} )^{4} \))(\( ( 1 + 6 T + 71 T^{2} )^{4} \))(\( ( 1 - 6 T + 148 T^{2} - 426 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 + 6 T + 148 T^{2} + 426 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 + 6 T + 148 T^{2} + 426 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 + 6 T + 71 T^{2} )^{4} \))(\( ( 1 - 6 T + 148 T^{2} - 426 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 + 6 T + 71 T^{2} )^{4} \))(\( ( 1 - 6 T + 148 T^{2} - 426 T^{3} + 5041 T^{4} )^{2} \))
$73$ (\( 1 + 2 T + 73 T^{2} \))(\( 1 - 2 T + 73 T^{2} \))(\( 1 - 4 T - 50 T^{2} - 292 T^{3} + 5329 T^{4} \))(\( 1 + 16 T + 190 T^{2} + 1168 T^{3} + 5329 T^{4} \))(\( 1 + 8 T + 94 T^{2} + 584 T^{3} + 5329 T^{4} \))(\( 1 - 4 T - 50 T^{2} - 292 T^{3} + 5329 T^{4} \))(\( 1 - 244 T^{2} + 25110 T^{4} - 1300276 T^{6} + 28398241 T^{8} \))(\( 1 - 244 T^{2} + 25110 T^{4} - 1300276 T^{6} + 28398241 T^{8} \))(\( ( 1 - 16 T + 73 T^{2} )( 1 + 16 T + 73 T^{2} ) \))(\( 1 - 2 T^{2} + 5329 T^{4} \))(\( ( 1 - 16 T + 73 T^{2} )( 1 + 16 T + 73 T^{2} ) \))(\( 1 - 2 T^{2} + 5329 T^{4} \))(\( 1 - 298 T^{2} + 43775 T^{4} - 3982284 T^{6} + 233276975 T^{8} - 8462675818 T^{10} + 151334226289 T^{12} \))(\( ( 1 + 164 T^{2} + 13326 T^{4} + 873956 T^{6} + 28398241 T^{8} )^{4} \))(\( ( 1 - 13 T + 73 T^{2} )^{2} \))(\( ( 1 - 11 T + 73 T^{2} )^{2} \))(\( ( 1 + 2 T + 68 T^{2} + 507 T^{3} + 5887 T^{4} + 37011 T^{5} + 362372 T^{6} + 778034 T^{7} + 28398241 T^{8} )^{2} \))(\( ( 1 + 4 T + 78 T^{2} + 545 T^{3} + 761 T^{4} + 39785 T^{5} + 415662 T^{6} + 1556068 T^{7} + 28398241 T^{8} )^{2} \))(\( ( 1 - 8 T + 205 T^{2} - 1029 T^{3} + 18060 T^{4} - 73748 T^{5} + 1316041 T^{6} - 5383604 T^{7} + 96241740 T^{8} - 400298493 T^{9} + 5821639405 T^{10} - 16584572744 T^{11} + 151334226289 T^{12} )^{2} \))(\( ( 1 - 10 T + 496 T^{2} - 3839 T^{3} + 108764 T^{4} - 681709 T^{5} + 14326022 T^{6} - 74456369 T^{7} + 1261625443 T^{8} - 5435314937 T^{9} + 76343371238 T^{10} - 265196390053 T^{11} + 3088706284124 T^{12} - 7958521845527 T^{13} + 75061776239344 T^{14} - 110473985190970 T^{15} + 806460091894081 T^{16} )^{2} \))(\( 1 + T - 72 T^{2} + 73 T^{3} + 5329 T^{4} \))(\( 1 + 11 T + 48 T^{2} + 803 T^{3} + 5329 T^{4} \))(\( 1 + 8 T - 23 T^{2} - 472 T^{3} - 2432 T^{4} - 34456 T^{5} - 122567 T^{6} + 3112136 T^{7} + 28398241 T^{8} \))(\( 1 - 10 T - 21 T^{2} + 250 T^{3} + 2012 T^{4} + 18250 T^{5} - 111909 T^{6} - 3890170 T^{7} + 28398241 T^{8} \))(\( 1 + 4 T - 126 T^{2} - 16 T^{3} + 13667 T^{4} - 1168 T^{5} - 671454 T^{6} + 1556068 T^{7} + 28398241 T^{8} \))(\( 1 + 9 T - 49 T^{2} - 1532 T^{3} - 4749 T^{4} + 52771 T^{5} + 937886 T^{6} + 3852283 T^{7} - 25307421 T^{8} - 595974044 T^{9} - 1391513809 T^{10} + 18657644337 T^{11} + 151334226289 T^{12} \))(\( 1 + 9 T - 49 T^{2} - 1532 T^{3} - 4749 T^{4} + 52771 T^{5} + 937886 T^{6} + 3852283 T^{7} - 25307421 T^{8} - 595974044 T^{9} - 1391513809 T^{10} + 18657644337 T^{11} + 151334226289 T^{12} \))(\( 1 - 133 T^{2} + 12360 T^{4} - 708757 T^{6} + 28398241 T^{8} \))(\( 1 - 133 T^{2} + 12360 T^{4} - 708757 T^{6} + 28398241 T^{8} \))(\( 1 + 20 T + 200 T^{2} + 1452 T^{3} + 7482 T^{4} + 35804 T^{5} + 273832 T^{6} + 2000484 T^{7} + 27883951 T^{8} + 188107816 T^{9} - 317778928 T^{10} - 34324729064 T^{11} - 473910414484 T^{12} - 2505705221672 T^{13} - 1693443907312 T^{14} + 73177138256872 T^{15} + 791855160530191 T^{16} + 4147146552651012 T^{17} + 41440153853169448 T^{18} + 395541056577748988 T^{19} + 6033934407551514042 T^{20} + 85481543900405009676 T^{21} + \)\(85\!\cdots\!00\)\( T^{22} + \)\(62\!\cdots\!40\)\( T^{23} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 + 20 T + 200 T^{2} + 1452 T^{3} + 7482 T^{4} + 35804 T^{5} + 273832 T^{6} + 2000484 T^{7} + 27883951 T^{8} + 188107816 T^{9} - 317778928 T^{10} - 34324729064 T^{11} - 473910414484 T^{12} - 2505705221672 T^{13} - 1693443907312 T^{14} + 73177138256872 T^{15} + 791855160530191 T^{16} + 4147146552651012 T^{17} + 41440153853169448 T^{18} + 395541056577748988 T^{19} + 6033934407551514042 T^{20} + 85481543900405009676 T^{21} + \)\(85\!\cdots\!00\)\( T^{22} + \)\(62\!\cdots\!40\)\( T^{23} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 - 9502 T^{4} + 28398241 T^{8} \))(\( 1 - 9502 T^{4} + 28398241 T^{8} \))(\( ( 1 + 5329 T^{4} )^{2} \))(\( ( 1 + 5218 T^{4} + 28398241 T^{8} )^{2} \))(\( 1 - 15256 T^{4} + 80862300 T^{8} + 94053698264 T^{12} - 2362018367550906 T^{16} + 2670959590242353624 T^{20} + \)\(65\!\cdots\!00\)\( T^{24} - \)\(34\!\cdots\!76\)\( T^{28} + \)\(65\!\cdots\!61\)\( T^{32} \))(\( ( 1 + 73 T^{2} + 5329 T^{4} )^{2} \))(\( 1 + 18 T + 181 T^{2} + 1314 T^{3} + 5329 T^{4} \))(\( ( 1 - 34 T^{2} - 4173 T^{4} - 181186 T^{6} + 28398241 T^{8} )^{2} \))(\( ( 1 + 29 T^{2} - 4488 T^{4} + 154541 T^{6} + 28398241 T^{8} )^{2} \))(\( 1 + 18 T + 181 T^{2} + 1314 T^{3} + 5329 T^{4} \))(\( ( 1 - 16 T + 183 T^{2} - 1168 T^{3} + 5329 T^{4} )( 1 + 16 T + 183 T^{2} + 1168 T^{3} + 5329 T^{4} ) \))(\( 1 + 312 T^{2} + 46894 T^{4} + 4662008 T^{6} + 358067385 T^{8} + 22613492772 T^{10} + 1186535858958 T^{12} + 57781939528716 T^{14} + 3463839236542756 T^{16} + 307919955748527564 T^{18} + 33695531277831292878 T^{20} + \)\(34\!\cdots\!08\)\( T^{22} + \)\(28\!\cdots\!85\)\( T^{24} + \)\(20\!\cdots\!92\)\( T^{26} + \)\(10\!\cdots\!74\)\( T^{28} + \)\(38\!\cdots\!08\)\( T^{30} + \)\(65\!\cdots\!61\)\( T^{32} \))(\( ( 1 + 208 T^{2} + 23365 T^{4} + 1922128 T^{6} + 137018104 T^{8} + 10243020112 T^{10} + 663524900965 T^{12} + 31477519068112 T^{14} + 806460091894081 T^{16} )^{2} \))(\( ( 1 - 137 T^{2} + 5329 T^{4} )^{2} \))(\( ( 1 - 65 T^{2} + 5329 T^{4} )^{2} \))(\( 1 + 42 T + 1119 T^{2} + 22302 T^{3} + 373665 T^{4} + 5463480 T^{5} + 72046694 T^{6} + 868793688 T^{7} + 9715685451 T^{8} + 101446836642 T^{9} + 996453337299 T^{10} + 9237792089286 T^{11} + 81107402998458 T^{12} + 674358822517878 T^{13} + 5310099834466371 T^{14} + 39464544049960914 T^{15} + 275908376917691691 T^{16} + 1801071514770504984 T^{17} + 10903130693170338566 T^{18} + 60357240861116077560 T^{19} + \)\(30\!\cdots\!65\)\( T^{20} + \)\(13\!\cdots\!26\)\( T^{21} + \)\(48\!\cdots\!31\)\( T^{22} + \)\(13\!\cdots\!34\)\( T^{23} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 + 42 T + 1119 T^{2} + 22302 T^{3} + 373665 T^{4} + 5463480 T^{5} + 72046694 T^{6} + 868793688 T^{7} + 9715685451 T^{8} + 101446836642 T^{9} + 996453337299 T^{10} + 9237792089286 T^{11} + 81107402998458 T^{12} + 674358822517878 T^{13} + 5310099834466371 T^{14} + 39464544049960914 T^{15} + 275908376917691691 T^{16} + 1801071514770504984 T^{17} + 10903130693170338566 T^{18} + 60357240861116077560 T^{19} + \)\(30\!\cdots\!65\)\( T^{20} + \)\(13\!\cdots\!26\)\( T^{21} + \)\(48\!\cdots\!31\)\( T^{22} + \)\(13\!\cdots\!34\)\( T^{23} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( ( 1 - 10 T + 73 T^{2} )( 1 + 10 T + 73 T^{2} ) \))(\( 1 - 71 T^{2} + 5329 T^{4} \))(\( 1 - 71 T^{2} + 5329 T^{4} \))(\( ( 1 - 10 T + 73 T^{2} )( 1 + 10 T + 73 T^{2} ) \))(\( 1 - 71 T^{2} + 5329 T^{4} \))(\( ( 1 - 17 T + 73 T^{2} )( 1 + 17 T + 73 T^{2} ) \))(\( ( 1 - 17 T + 73 T^{2} )( 1 + 17 T + 73 T^{2} ) \))(\( 1 - 71 T^{2} + 5329 T^{4} \))(\( ( 1 + 73 T^{2} + 5329 T^{4} )^{2} \))(\( 1 + 144 T^{2} + 600 T^{3} + 10991 T^{4} + 43800 T^{5} + 767376 T^{6} + 28398241 T^{8} \))(\( 1 + 6 T + 90 T^{2} + 984 T^{3} + 6095 T^{4} + 71832 T^{5} + 479610 T^{6} + 2334102 T^{7} + 28398241 T^{8} \))(\( 1 + 18 T + 90 T^{2} - 840 T^{3} - 14929 T^{4} - 61320 T^{5} + 479610 T^{6} + 7002306 T^{7} + 28398241 T^{8} \))(\( 1 + 24 T + 144 T^{2} - 1752 T^{3} - 31057 T^{4} - 127896 T^{5} + 767376 T^{6} + 9336408 T^{7} + 28398241 T^{8} \))(\( 1 + 144 T^{2} + 600 T^{3} + 10991 T^{4} + 43800 T^{5} + 767376 T^{6} + 28398241 T^{8} \))(\( 1 + 24 T + 144 T^{2} - 1752 T^{3} - 31057 T^{4} - 127896 T^{5} + 767376 T^{6} + 9336408 T^{7} + 28398241 T^{8} \))(\( 1 + 6 T + 90 T^{2} + 984 T^{3} + 6095 T^{4} + 71832 T^{5} + 479610 T^{6} + 2334102 T^{7} + 28398241 T^{8} \))(\( 1 + 24 T + 144 T^{2} - 1752 T^{3} - 31057 T^{4} - 127896 T^{5} + 767376 T^{6} + 9336408 T^{7} + 28398241 T^{8} \))(\( 1 + 18 T + 90 T^{2} - 840 T^{3} - 14929 T^{4} - 61320 T^{5} + 479610 T^{6} + 7002306 T^{7} + 28398241 T^{8} \))(\( 1 + 144 T^{2} + 600 T^{3} + 10991 T^{4} + 43800 T^{5} + 767376 T^{6} + 28398241 T^{8} \))
$79$ (\( 1 - 8 T + 79 T^{2} \))(\( 1 + T + 79 T^{2} \))(\( 1 + 126 T^{2} + 6241 T^{4} \))(\( 1 - 8 T + 94 T^{2} - 632 T^{3} + 6241 T^{4} \))(\( 1 + 9 T + 174 T^{2} + 711 T^{3} + 6241 T^{4} \))(\( 1 + 126 T^{2} + 6241 T^{4} \))(\( ( 1 + 8 T + 126 T^{2} + 632 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 + 8 T + 126 T^{2} + 632 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 - 5 T + 79 T^{2} )^{2} \))(\( ( 1 - 8 T + 79 T^{2} )^{2} \))(\( ( 1 + 4 T + 79 T^{2} )^{2} \))(\( ( 1 - 8 T + 79 T^{2} )^{2} \))(\( ( 1 + 12 T + 221 T^{2} + 1576 T^{3} + 17459 T^{4} + 74892 T^{5} + 493039 T^{6} )^{2} \))(\( ( 1 + 4 T + 79 T^{2} )^{16} \))(\( ( 1 + 4 T + 79 T^{2} )( 1 + 13 T + 79 T^{2} ) \))(\( 1 + 8 T - 15 T^{2} + 632 T^{3} + 6241 T^{4} \))(\( 1 - 177 T^{2} - 8 T^{3} + 11052 T^{4} + 1024 T^{5} - 1379699 T^{6} - 30756 T^{7} + 176681095 T^{8} - 2429724 T^{9} - 8610701459 T^{10} + 504871936 T^{11} + 430476295212 T^{12} - 24616451192 T^{13} - 43026479627217 T^{14} + 1517108809906561 T^{16} \))(\( 1 - 24 T + 279 T^{2} - 2304 T^{3} + 10516 T^{4} + 43728 T^{5} - 930339 T^{6} + 9097068 T^{7} - 88845273 T^{8} + 718668372 T^{9} - 5806245699 T^{10} + 21559609392 T^{11} + 409599051796 T^{12} - 7089537943296 T^{13} + 67821400090359 T^{14} - 460893815667816 T^{15} + 1517108809906561 T^{16} \))(\( 1 - 22 T + 12 T^{2} + 2648 T^{3} - 8141 T^{4} - 130972 T^{5} - 734750 T^{6} + 15896118 T^{7} + 81246412 T^{8} - 907461286 T^{9} - 9153348513 T^{10} - 1468497462 T^{11} + 1287301310934 T^{12} - 116011299498 T^{13} - 57126048069633 T^{14} - 447413804988154 T^{15} + 3164554328359372 T^{16} + 48913251611159082 T^{17} - 178608507944054750 T^{18} - 2515174367735216548 T^{19} - 12350782821449313101 T^{20} + \)\(31\!\cdots\!12\)\( T^{21} + \)\(11\!\cdots\!12\)\( T^{22} - \)\(16\!\cdots\!38\)\( T^{23} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 + 27 T - 135 T^{2} - 7902 T^{3} + 39995 T^{4} + 1914831 T^{5} - 6362838 T^{6} - 289531215 T^{7} + 1468553911 T^{8} + 37012370742 T^{9} - 224794814526 T^{10} - 3282480268776 T^{11} + 32122316535770 T^{12} + 227052617209830 T^{13} - 3341971702380213 T^{14} - 6208633901935233 T^{15} + 304269296557139782 T^{16} - 490482078252883407 T^{17} - 20857245394554909333 T^{18} + \)\(11\!\cdots\!70\)\( T^{19} + \)\(12\!\cdots\!70\)\( T^{20} - \)\(10\!\cdots\!24\)\( T^{21} - \)\(54\!\cdots\!46\)\( T^{22} + \)\(71\!\cdots\!78\)\( T^{23} + \)\(22\!\cdots\!71\)\( T^{24} - \)\(34\!\cdots\!85\)\( T^{25} - \)\(60\!\cdots\!38\)\( T^{26} + \)\(14\!\cdots\!49\)\( T^{27} + \)\(23\!\cdots\!95\)\( T^{28} - \)\(36\!\cdots\!78\)\( T^{29} - \)\(49\!\cdots\!35\)\( T^{30} + \)\(78\!\cdots\!73\)\( T^{31} + \)\(23\!\cdots\!21\)\( T^{32} \))(\( 1 - T - 78 T^{2} - 79 T^{3} + 6241 T^{4} \))(\( ( 1 - 17 T + 79 T^{2} )( 1 + 4 T + 79 T^{2} ) \))(\( 1 + 6 T - 23 T^{2} - 594 T^{3} - 5604 T^{4} - 46926 T^{5} - 143543 T^{6} + 2958234 T^{7} + 38950081 T^{8} \))(\( 1 + 2 T - 123 T^{2} - 62 T^{3} + 9572 T^{4} - 4898 T^{5} - 767643 T^{6} + 986078 T^{7} + 38950081 T^{8} \))(\( 1 + 24 T + 282 T^{2} + 3264 T^{3} + 34691 T^{4} + 257856 T^{5} + 1759962 T^{6} + 11832936 T^{7} + 38950081 T^{8} \))(\( 1 - 7 T - 135 T^{2} + 1070 T^{3} + 11067 T^{4} - 57119 T^{5} - 604314 T^{6} - 4512401 T^{7} + 69069147 T^{8} + 527551730 T^{9} - 5258260935 T^{10} - 21539394793 T^{11} + 243087455521 T^{12} \))(\( 1 - 7 T - 135 T^{2} + 1070 T^{3} + 11067 T^{4} - 57119 T^{5} - 604314 T^{6} - 4512401 T^{7} + 69069147 T^{8} + 527551730 T^{9} - 5258260935 T^{10} - 21539394793 T^{11} + 243087455521 T^{12} \))(\( 1 + 4 T - 29 T^{2} - 452 T^{3} - 5480 T^{4} - 35708 T^{5} - 180989 T^{6} + 1972156 T^{7} + 38950081 T^{8} \))(\( ( 1 - 4 T + 45 T^{2} - 316 T^{3} + 6241 T^{4} )^{2} \))(\( 1 - 372 T^{2} + 73090 T^{4} - 9878564 T^{6} + 1031952175 T^{8} - 90900376040 T^{10} + 7353042693660 T^{12} - 567309246865640 T^{14} + 40194620804376175 T^{16} - 2401354986961351844 T^{18} + \)\(11\!\cdots\!90\)\( T^{20} - \)\(35\!\cdots\!72\)\( T^{22} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 - 372 T^{2} + 73090 T^{4} - 9878564 T^{6} + 1031952175 T^{8} - 90900376040 T^{10} + 7353042693660 T^{12} - 567309246865640 T^{14} + 40194620804376175 T^{16} - 2401354986961351844 T^{18} + \)\(11\!\cdots\!90\)\( T^{20} - \)\(35\!\cdots\!72\)\( T^{22} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( ( 1 - 142 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 - 142 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 + 11 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 - 14 T^{2} + 6241 T^{4} )^{4} \))(\( ( 1 - 312 T^{2} + 58396 T^{4} - 7293320 T^{6} + 672141766 T^{8} - 45517610120 T^{10} + 2274528930076 T^{12} - 75843286122552 T^{14} + 1517108809906561 T^{16} )^{2} \))(\( ( 1 - 14 T + 79 T^{2} )^{4} \))(\( ( 1 + 10 T + 79 T^{2} )^{2} \))(\( ( 1 + T + 79 T^{2} )^{4}( 1 - T - 78 T^{2} - 79 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 - 7 T - 30 T^{2} - 553 T^{3} + 6241 T^{4} )^{4} \))(\( 1 - 10 T + 21 T^{2} - 790 T^{3} + 6241 T^{4} \))(\( ( 1 + 2 T - 75 T^{2} + 158 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 + 8 T - 98 T^{2} - 1128 T^{3} - 3647 T^{4} - 31028 T^{5} - 546546 T^{6} + 5486636 T^{7} + 152161556 T^{8} + 433444244 T^{9} - 3410993586 T^{10} - 15298014092 T^{11} - 142050945407 T^{12} - 3470919618072 T^{13} - 23822570641058 T^{14} + 153631271889272 T^{15} + 1517108809906561 T^{16} )^{2} \))(\( ( 1 + 4 T - 83 T^{2} - 236 T^{3} + 2296 T^{4} - 18644 T^{5} - 518003 T^{6} + 1972156 T^{7} + 38950081 T^{8} )^{4} \))(\( ( 1 - 7 T - 30 T^{2} - 553 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 - T - 78 T^{2} - 79 T^{3} + 6241 T^{4} )^{2} \))(\( 1 - 18 T - 177 T^{2} + 3346 T^{3} + 40923 T^{4} - 454344 T^{5} - 6959816 T^{6} + 45880152 T^{7} + 889910193 T^{8} - 3054243566 T^{9} - 93786004551 T^{10} + 82100387598 T^{11} + 8378036930038 T^{12} + 6485930620242 T^{13} - 585318454402791 T^{14} - 1505861193537074 T^{15} + 34662074100075633 T^{16} + 141175815298692648 T^{17} - 1691843962334344136 T^{18} - 8725180824407424696 T^{19} + 62084643827806195803 T^{20} + \)\(40\!\cdots\!74\)\( T^{21} - \)\(16\!\cdots\!77\)\( T^{22} - \)\(13\!\cdots\!22\)\( T^{23} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 - 18 T - 177 T^{2} + 3346 T^{3} + 40923 T^{4} - 454344 T^{5} - 6959816 T^{6} + 45880152 T^{7} + 889910193 T^{8} - 3054243566 T^{9} - 93786004551 T^{10} + 82100387598 T^{11} + 8378036930038 T^{12} + 6485930620242 T^{13} - 585318454402791 T^{14} - 1505861193537074 T^{15} + 34662074100075633 T^{16} + 141175815298692648 T^{17} - 1691843962334344136 T^{18} - 8725180824407424696 T^{19} + 62084643827806195803 T^{20} + \)\(40\!\cdots\!74\)\( T^{21} - \)\(16\!\cdots\!77\)\( T^{22} - \)\(13\!\cdots\!22\)\( T^{23} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 + 14 T + 117 T^{2} + 1106 T^{3} + 6241 T^{4} \))(\( 1 + 5 T - 54 T^{2} + 395 T^{3} + 6241 T^{4} \))(\( 1 + 5 T - 54 T^{2} + 395 T^{3} + 6241 T^{4} \))(\( 1 + 14 T + 117 T^{2} + 1106 T^{3} + 6241 T^{4} \))(\( 1 - T - 78 T^{2} - 79 T^{3} + 6241 T^{4} \))(\( 1 + 8 T - 15 T^{2} + 632 T^{3} + 6241 T^{4} \))(\( 1 + 8 T - 15 T^{2} + 632 T^{3} + 6241 T^{4} \))(\( 1 - T - 78 T^{2} - 79 T^{3} + 6241 T^{4} \))(\( ( 1 + 14 T + 117 T^{2} + 1106 T^{3} + 6241 T^{4} )^{2} \))(\( 1 - 164 T^{2} + 16134 T^{4} - 1023524 T^{6} + 38950081 T^{8} \))(\( 1 - 164 T^{2} + 16134 T^{4} - 1023524 T^{6} + 38950081 T^{8} \))(\( 1 - 164 T^{2} + 16134 T^{4} - 1023524 T^{6} + 38950081 T^{8} \))(\( 1 - 164 T^{2} + 16134 T^{4} - 1023524 T^{6} + 38950081 T^{8} \))(\( 1 + 6 T + 148 T^{2} + 816 T^{3} + 13203 T^{4} + 64464 T^{5} + 923668 T^{6} + 2958234 T^{7} + 38950081 T^{8} \))(\( 1 - 6 T + 148 T^{2} - 816 T^{3} + 13203 T^{4} - 64464 T^{5} + 923668 T^{6} - 2958234 T^{7} + 38950081 T^{8} \))(\( 1 - 12 T + 154 T^{2} - 1272 T^{3} + 8787 T^{4} - 100488 T^{5} + 961114 T^{6} - 5916468 T^{7} + 38950081 T^{8} \))(\( 1 - 12 T + 154 T^{2} - 1272 T^{3} + 8787 T^{4} - 100488 T^{5} + 961114 T^{6} - 5916468 T^{7} + 38950081 T^{8} \))(\( 1 + 12 T + 154 T^{2} + 1272 T^{3} + 8787 T^{4} + 100488 T^{5} + 961114 T^{6} + 5916468 T^{7} + 38950081 T^{8} \))(\( 1 + 12 T + 154 T^{2} + 1272 T^{3} + 8787 T^{4} + 100488 T^{5} + 961114 T^{6} + 5916468 T^{7} + 38950081 T^{8} \))
$83$ (\( 1 - 4 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( ( 1 - 8 T + 83 T^{2} )^{2} \))(\( 1 - 16 T + 150 T^{2} - 1328 T^{3} + 6889 T^{4} \))(\( ( 1 + 4 T + 83 T^{2} )^{2} \))(\( ( 1 + 8 T + 83 T^{2} )^{2} \))(\( ( 1 + 12 T + 190 T^{2} + 996 T^{3} + 6889 T^{4} )^{2} \))(\( ( 1 - 12 T + 190 T^{2} - 996 T^{3} + 6889 T^{4} )^{2} \))(\( 1 - 150 T^{2} + 6889 T^{4} \))(\( 1 + 90 T^{2} + 6889 T^{4} \))(\( 1 - 102 T^{2} + 6889 T^{4} \))(\( 1 + 90 T^{2} + 6889 T^{4} \))(\( 1 - 306 T^{2} + 47783 T^{4} - 4793948 T^{6} + 329177087 T^{8} - 14522246226 T^{10} + 326940373369 T^{12} \))(\( ( 1 - 268 T^{2} + 30870 T^{4} - 1846252 T^{6} + 47458321 T^{8} )^{4} \))(\( 1 + 13 T + 86 T^{2} + 1079 T^{3} + 6889 T^{4} \))(\( 1 + 9 T - 2 T^{2} + 747 T^{3} + 6889 T^{4} \))(\( 1 + 17 T - 38 T^{2} - 1593 T^{3} + 7218 T^{4} + 142914 T^{5} - 479067 T^{6} - 6921758 T^{7} - 296163 T^{8} - 574505914 T^{9} - 3300292563 T^{10} + 81716367318 T^{11} + 342554160978 T^{12} - 6274891744299 T^{13} - 12423734188022 T^{14} + 461312866823659 T^{15} + 2252292232139041 T^{16} \))(\( 1 - 19 T + 8 T^{2} + 1653 T^{3} - 472 T^{4} - 87362 T^{5} - 374159 T^{6} - 2991816 T^{7} + 141658213 T^{8} - 248320728 T^{9} - 2577581351 T^{10} - 49952455894 T^{11} - 22400327512 T^{12} + 6511234182879 T^{13} + 2615522986952 T^{14} - 515584968802913 T^{15} + 2252292232139041 T^{16} \))(\( 1 - 5 T - 361 T^{2} + 1484 T^{3} + 71060 T^{4} - 224895 T^{5} - 10522018 T^{6} + 24042225 T^{7} + 1282356419 T^{8} - 1800322606 T^{9} - 131803281744 T^{10} + 61097984545 T^{11} + 11701835672526 T^{12} + 5071132717235 T^{13} - 907992807934416 T^{14} - 1029401061916922 T^{15} + 60858482569312499 T^{16} + 94703301423150675 T^{17} - 3440072493515338642 T^{18} - 6102762187312164165 T^{19} + \)\(16\!\cdots\!60\)\( T^{20} + \)\(27\!\cdots\!52\)\( T^{21} - \)\(56\!\cdots\!89\)\( T^{22} - \)\(64\!\cdots\!35\)\( T^{23} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 + 5 T - 412 T^{2} - 1919 T^{3} + 85319 T^{4} + 351005 T^{5} - 12811975 T^{6} - 43639307 T^{7} + 1623479161 T^{8} + 4403947840 T^{9} - 179310486826 T^{10} - 369180098536 T^{11} + 17626003433352 T^{12} + 22874863773276 T^{13} - 1609250765486967 T^{14} - 692777265967880 T^{15} + 138259235603031206 T^{16} - 57500513075334040 T^{17} - 11086128523439715663 T^{18} + 13079549732330164212 T^{19} + \)\(83\!\cdots\!92\)\( T^{20} - \)\(14\!\cdots\!48\)\( T^{21} - \)\(58\!\cdots\!94\)\( T^{22} + \)\(11\!\cdots\!80\)\( T^{23} + \)\(36\!\cdots\!01\)\( T^{24} - \)\(81\!\cdots\!21\)\( T^{25} - \)\(19\!\cdots\!75\)\( T^{26} + \)\(45\!\cdots\!35\)\( T^{27} + \)\(91\!\cdots\!59\)\( T^{28} - \)\(17\!\cdots\!97\)\( T^{29} - \)\(30\!\cdots\!48\)\( T^{30} + \)\(30\!\cdots\!35\)\( T^{31} + \)\(50\!\cdots\!81\)\( T^{32} \))(\( ( 1 + 2 T + 83 T^{2} )^{2} \))(\( ( 1 - 12 T + 83 T^{2} )^{2} \))(\( ( 1 + 6 T + 28 T^{2} + 498 T^{3} + 6889 T^{4} )^{2} \))(\( ( 1 + 8 T + 180 T^{2} + 664 T^{3} + 6889 T^{4} )^{2} \))(\( ( 1 + 2 T + 5 T^{2} + 166 T^{3} + 6889 T^{4} )^{2} \))(\( ( 1 - 14 T + 289 T^{2} - 2342 T^{3} + 23987 T^{4} - 96446 T^{5} + 571787 T^{6} )^{2} \))(\( ( 1 + 14 T + 289 T^{2} + 2342 T^{3} + 23987 T^{4} + 96446 T^{5} + 571787 T^{6} )^{2} \))(\( 1 - 14 T + 33 T^{2} + 42 T^{3} + 3412 T^{4} + 3486 T^{5} + 227337 T^{6} - 8005018 T^{7} + 47458321 T^{8} \))(\( 1 - 14 T + 33 T^{2} + 42 T^{3} + 3412 T^{4} + 3486 T^{5} + 227337 T^{6} - 8005018 T^{7} + 47458321 T^{8} \))(\( 1 - 24 T + 288 T^{2} - 2760 T^{3} + 26518 T^{4} - 273208 T^{5} + 2728608 T^{6} - 24159272 T^{7} + 240213375 T^{8} - 2803489520 T^{9} + 29745965888 T^{10} - 283235701200 T^{11} + 2619914616372 T^{12} - 23508563199600 T^{13} + 204919959002432 T^{14} - 1602998862172240 T^{15} + 11400123459243375 T^{16} - 95164354313291896 T^{17} + 892092118297640352 T^{18} - 7413786218774013416 T^{19} + 59726285411863089238 T^{20} - \)\(51\!\cdots\!80\)\( T^{21} + \)\(44\!\cdots\!12\)\( T^{22} - \)\(30\!\cdots\!08\)\( T^{23} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 + 24 T + 288 T^{2} + 2760 T^{3} + 26518 T^{4} + 273208 T^{5} + 2728608 T^{6} + 24159272 T^{7} + 240213375 T^{8} + 2803489520 T^{9} + 29745965888 T^{10} + 283235701200 T^{11} + 2619914616372 T^{12} + 23508563199600 T^{13} + 204919959002432 T^{14} + 1602998862172240 T^{15} + 11400123459243375 T^{16} + 95164354313291896 T^{17} + 892092118297640352 T^{18} + 7413786218774013416 T^{19} + 59726285411863089238 T^{20} + \)\(51\!\cdots\!80\)\( T^{21} + \)\(44\!\cdots\!12\)\( T^{22} + \)\(30\!\cdots\!08\)\( T^{23} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( ( 1 + 20 T + 200 T^{2} + 1660 T^{3} + 6889 T^{4} )^{2} \))(\( ( 1 - 20 T + 200 T^{2} - 1660 T^{3} + 6889 T^{4} )^{2} \))(\( 1 + 7538 T^{4} + 47458321 T^{8} \))(\( ( 1 + 2098 T^{4} + 47458321 T^{8} )^{2} \))(\( 1 + 5000 T^{4} + 95818588 T^{8} + 596752860728 T^{12} + 4571727903671302 T^{16} + 28320888822097717688 T^{20} + \)\(21\!\cdots\!08\)\( T^{24} + \)\(53\!\cdots\!00\)\( T^{28} + \)\(50\!\cdots\!81\)\( T^{32} \))(\( 1 + 150 T^{2} + 15611 T^{4} + 1033350 T^{6} + 47458321 T^{8} \))(\( 1 + 12 T + 61 T^{2} + 996 T^{3} + 6889 T^{4} \))(\( ( 1 - 86 T^{2} + 6889 T^{4} )^{2}( 1 + 86 T^{2} + 507 T^{4} + 592454 T^{6} + 47458321 T^{8} ) \))(\( ( 1 + 58 T^{2} + 6889 T^{4} )^{4} \))(\( 1 - 12 T + 61 T^{2} - 996 T^{3} + 6889 T^{4} \))(\( ( 1 - 45 T^{2} + 6889 T^{4} )^{2} \))(\( ( 1 - 516 T^{2} + 125904 T^{4} - 18859016 T^{6} + 1891189930 T^{8} - 129919761224 T^{10} + 5975192447184 T^{12} - 168701232658404 T^{14} + 2252292232139041 T^{16} )^{2} \))(\( ( 1 - 182 T^{2} + 18356 T^{4} - 1253798 T^{6} + 47458321 T^{8} )^{4} \))(\( 1 + 141 T^{2} + 12992 T^{4} + 971349 T^{6} + 47458321 T^{8} \))(\( 1 - 123 T^{2} + 8240 T^{4} - 847347 T^{6} + 47458321 T^{8} \))(\( ( 1 + 12 T + 300 T^{2} + 3204 T^{3} + 50769 T^{4} + 448284 T^{5} + 5149954 T^{6} + 37207572 T^{7} + 349747641 T^{8} + 1832005548 T^{9} + 14237496300 T^{10} + 47268487716 T^{11} + 326940373369 T^{12} )^{2} \))(\( ( 1 - 12 T + 300 T^{2} - 3204 T^{3} + 50769 T^{4} - 448284 T^{5} + 5149954 T^{6} - 37207572 T^{7} + 349747641 T^{8} - 1832005548 T^{9} + 14237496300 T^{10} - 47268487716 T^{11} + 326940373369 T^{12} )^{2} \))(\( 1 - 9 T - 2 T^{2} - 747 T^{3} + 6889 T^{4} \))(\( 1 + 9 T - 2 T^{2} + 747 T^{3} + 6889 T^{4} \))(\( 1 - 9 T - 2 T^{2} - 747 T^{3} + 6889 T^{4} \))(\( 1 + 9 T - 2 T^{2} + 747 T^{3} + 6889 T^{4} \))(\( 1 - 9 T - 2 T^{2} - 747 T^{3} + 6889 T^{4} \))(\( 1 + 9 T - 2 T^{2} + 747 T^{3} + 6889 T^{4} \))(\( 1 - 9 T - 2 T^{2} - 747 T^{3} + 6889 T^{4} \))(\( 1 + 9 T - 2 T^{2} + 747 T^{3} + 6889 T^{4} \))(\( 1 + 150 T^{2} + 15611 T^{4} + 1033350 T^{6} + 47458321 T^{8} \))(\( 1 - 28 T + 365 T^{2} - 2980 T^{3} + 23356 T^{4} - 247340 T^{5} + 2514485 T^{6} - 16010036 T^{7} + 47458321 T^{8} \))(\( 1 - 2 T + 2 T^{2} + 328 T^{3} - 7217 T^{4} + 27224 T^{5} + 13778 T^{6} - 1143574 T^{7} + 47458321 T^{8} \))(\( 1 + 2 T + 2 T^{2} - 328 T^{3} - 7217 T^{4} - 27224 T^{5} + 13778 T^{6} + 1143574 T^{7} + 47458321 T^{8} \))(\( 1 - 26 T + 365 T^{2} - 3554 T^{3} + 32320 T^{4} - 294982 T^{5} + 2514485 T^{6} - 14866462 T^{7} + 47458321 T^{8} \))(\( 1 + 2 T + 2 T^{2} + 140 T^{3} + 9631 T^{4} + 11620 T^{5} + 13778 T^{6} + 1143574 T^{7} + 47458321 T^{8} \))(\( 1 - 2 T + 2 T^{2} - 140 T^{3} + 9631 T^{4} - 11620 T^{5} + 13778 T^{6} - 1143574 T^{7} + 47458321 T^{8} \))(\( 1 - 2 T + 2 T^{2} + 328 T^{3} - 7217 T^{4} + 27224 T^{5} + 13778 T^{6} - 1143574 T^{7} + 47458321 T^{8} \))(\( 1 + 28 T + 365 T^{2} + 2980 T^{3} + 23356 T^{4} + 247340 T^{5} + 2514485 T^{6} + 16010036 T^{7} + 47458321 T^{8} \))(\( 1 + 2 T + 2 T^{2} - 328 T^{3} - 7217 T^{4} - 27224 T^{5} + 13778 T^{6} + 1143574 T^{7} + 47458321 T^{8} \))(\( 1 + 26 T + 365 T^{2} + 3554 T^{3} + 32320 T^{4} + 294982 T^{5} + 2514485 T^{6} + 14866462 T^{7} + 47458321 T^{8} \))
$89$ (\( 1 - 6 T + 89 T^{2} \))(\( 1 - 12 T + 89 T^{2} \))(\( 1 + 12 T + 86 T^{2} + 1068 T^{3} + 7921 T^{4} \))(\( ( 1 - 2 T + 89 T^{2} )^{2} \))(\( 1 + 6 T + 170 T^{2} + 534 T^{3} + 7921 T^{4} \))(\( 1 - 12 T + 86 T^{2} - 1068 T^{3} + 7921 T^{4} \))(\( ( 1 - 12 T + 166 T^{2} - 1068 T^{3} + 7921 T^{4} )^{2} \))(\( ( 1 + 12 T + 166 T^{2} + 1068 T^{3} + 7921 T^{4} )^{2} \))(\( ( 1 + 89 T^{2} )^{2} \))(\( ( 1 + 12 T + 89 T^{2} )^{2} \))(\( ( 1 - 6 T + 89 T^{2} )^{2} \))(\( ( 1 - 12 T + 89 T^{2} )^{2} \))(\( ( 1 - 14 T + 319 T^{2} - 2532 T^{3} + 28391 T^{4} - 110894 T^{5} + 704969 T^{6} )^{2} \))(\( ( 1 + 140 T^{2} + 18798 T^{4} + 1108940 T^{6} + 62742241 T^{8} )^{4} \))(\( ( 1 - 6 T + 89 T^{2} )^{2} \))(\( ( 1 + 12 T + 89 T^{2} )^{2} \))(\( ( 1 + 17 T + 309 T^{2} + 2514 T^{3} + 30601 T^{4} + 223746 T^{5} + 2447589 T^{6} + 11984473 T^{7} + 62742241 T^{8} )^{2} \))(\( ( 1 - 15 T + 241 T^{2} - 1380 T^{3} + 17331 T^{4} - 122820 T^{5} + 1908961 T^{6} - 10574535 T^{7} + 62742241 T^{8} )^{2} \))(\( ( 1 - T + 315 T^{2} - 80 T^{3} + 52930 T^{4} - 6403 T^{5} + 5804756 T^{6} - 569867 T^{7} + 419258530 T^{8} - 56397520 T^{9} + 19763805915 T^{10} - 5584059449 T^{11} + 496981290961 T^{12} )^{2} \))(\( ( 1 - 27 T + 659 T^{2} - 11088 T^{3} + 177613 T^{4} - 2313648 T^{5} + 28600757 T^{6} - 303824349 T^{7} + 3074549044 T^{8} - 27040367061 T^{9} + 226546596197 T^{10} - 1631050116912 T^{11} + 11143837650733 T^{12} - 61916051170512 T^{13} + 327510670743299 T^{14} - 1194246042179283 T^{15} + 3936588805702081 T^{16} )^{2} \))(\( 1 + 12 T + 55 T^{2} + 1068 T^{3} + 7921 T^{4} \))(\( 1 - 6 T - 53 T^{2} - 534 T^{3} + 7921 T^{4} \))(\( 1 - 6 T - 4 T^{2} + 828 T^{3} - 9525 T^{4} + 73692 T^{5} - 31684 T^{6} - 4229814 T^{7} + 62742241 T^{8} \))(\( 1 + 16 T + 32 T^{2} + 736 T^{3} + 19471 T^{4} + 65504 T^{5} + 253472 T^{6} + 11279504 T^{7} + 62742241 T^{8} \))(\( 1 + 6 T - 119 T^{2} - 138 T^{3} + 12900 T^{4} - 12282 T^{5} - 942599 T^{6} + 4229814 T^{7} + 62742241 T^{8} \))(\( 1 - 30 T + 371 T^{2} - 4122 T^{3} + 56540 T^{4} - 520116 T^{5} + 3879065 T^{6} - 46290324 T^{7} + 447853340 T^{8} - 2905882218 T^{9} + 23277371411 T^{10} - 167521783470 T^{11} + 496981290961 T^{12} \))(\( 1 + 30 T + 371 T^{2} + 4122 T^{3} + 56540 T^{4} + 520116 T^{5} + 3879065 T^{6} + 46290324 T^{7} + 447853340 T^{8} + 2905882218 T^{9} + 23277371411 T^{10} + 167521783470 T^{11} + 496981290961 T^{12} \))(\( ( 1 + 3 T - 80 T^{2} + 267 T^{3} + 7921 T^{4} )^{2} \))(\( ( 1 + 3 T - 80 T^{2} + 267 T^{3} + 7921 T^{4} )^{2} \))(\( ( 1 + 28 T + 684 T^{2} + 11188 T^{3} + 161827 T^{4} + 1876496 T^{5} + 19427016 T^{6} + 167008144 T^{7} + 1281831667 T^{8} + 7887193172 T^{9} + 42915692844 T^{10} + 156353664572 T^{11} + 496981290961 T^{12} )^{2} \))(\( ( 1 - 28 T + 684 T^{2} - 11188 T^{3} + 161827 T^{4} - 1876496 T^{5} + 19427016 T^{6} - 167008144 T^{7} + 1281831667 T^{8} - 7887193172 T^{9} + 42915692844 T^{10} - 156353664572 T^{11} + 496981290961 T^{12} )^{2} \))(\( ( 1 - 10 T + 89 T^{2} )^{4} \))(\( ( 1 + 10 T + 89 T^{2} )^{4} \))(\( ( 1 + 138 T^{2} + 7921 T^{4} )^{2} \))(\( ( 1 - 2 T^{2} + 7921 T^{4} )^{4} \))(\( ( 1 + 576 T^{2} + 155068 T^{4} + 25338304 T^{6} + 2740378246 T^{8} + 200704705984 T^{10} + 9729313827388 T^{12} + 286261223593536 T^{14} + 3936588805702081 T^{16} )^{2} \))(\( ( 1 + 3 T - 80 T^{2} + 267 T^{3} + 7921 T^{4} )^{2} \))(\( 1 - 15 T + 136 T^{2} - 1335 T^{3} + 7921 T^{4} \))(\( ( 1 + 89 T^{2} )^{8} \))(\( ( 1 + 116 T^{2} + 5535 T^{4} + 918836 T^{6} + 62742241 T^{8} )^{2} \))(\( 1 + 15 T + 136 T^{2} + 1335 T^{3} + 7921 T^{4} \))(\( ( 1 + 9 T - 8 T^{2} + 801 T^{3} + 7921 T^{4} )^{2} \))(\( ( 1 + 8 T - 98 T^{2} - 1004 T^{3} + 4584 T^{4} + 89290 T^{5} + 1051584 T^{6} - 2927032 T^{7} - 142835833 T^{8} - 260505848 T^{9} + 8329596864 T^{10} + 62946682010 T^{11} + 287610432744 T^{12} - 5606395686796 T^{13} - 48704166514178 T^{14} + 353850679164232 T^{15} + 3936588805702081 T^{16} )^{2} \))(\( ( 1 - 314 T^{2} + 58168 T^{4} - 7720004 T^{6} + 790702027 T^{8} - 61150151684 T^{10} + 3649590674488 T^{12} - 156052125361754 T^{14} + 3936588805702081 T^{16} )^{2} \))(\( ( 1 - 18 T + 89 T^{2} )^{4} \))(\( ( 1 - 12 T + 89 T^{2} )^{4} \))(\( 1 - 12 T - 282 T^{2} + 648 T^{3} + 81261 T^{4} + 90852 T^{5} - 10133890 T^{6} - 68061132 T^{7} + 906987750 T^{8} + 7493819688 T^{9} - 22404081252 T^{10} - 403242866028 T^{11} + 351385075713 T^{12} - 35888615076492 T^{13} - 177462727597092 T^{14} + 5282910571629672 T^{15} + 56906443994547750 T^{16} - 380057407254236268 T^{17} - 5036353734656768290 T^{18} + 4018505237928600708 T^{19} + \)\(31\!\cdots\!41\)\( T^{20} + \)\(22\!\cdots\!32\)\( T^{21} - \)\(87\!\cdots\!82\)\( T^{22} - \)\(33\!\cdots\!68\)\( T^{23} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 + 12 T - 282 T^{2} - 648 T^{3} + 81261 T^{4} - 90852 T^{5} - 10133890 T^{6} + 68061132 T^{7} + 906987750 T^{8} - 7493819688 T^{9} - 22404081252 T^{10} + 403242866028 T^{11} + 351385075713 T^{12} + 35888615076492 T^{13} - 177462727597092 T^{14} - 5282910571629672 T^{15} + 56906443994547750 T^{16} + 380057407254236268 T^{17} - 5036353734656768290 T^{18} - 4018505237928600708 T^{19} + \)\(31\!\cdots\!41\)\( T^{20} - \)\(22\!\cdots\!32\)\( T^{21} - \)\(87\!\cdots\!82\)\( T^{22} + \)\(33\!\cdots\!68\)\( T^{23} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( ( 1 + 15 T + 89 T^{2} )^{2} \))(\( ( 1 + 6 T + 89 T^{2} )^{2} \))(\( ( 1 - 6 T + 89 T^{2} )^{2} \))(\( ( 1 - 15 T + 89 T^{2} )^{2} \))(\( ( 1 + 6 T + 89 T^{2} )^{2} \))(\( ( 1 - 6 T + 89 T^{2} )^{2} \))(\( ( 1 + 6 T + 89 T^{2} )^{2} \))(\( ( 1 - 6 T + 89 T^{2} )^{2} \))(\( ( 1 + 3 T - 80 T^{2} + 267 T^{3} + 7921 T^{4} )^{2} \))(\( 1 + 16 T + 62 T^{2} + 256 T^{3} + 6931 T^{4} + 22784 T^{5} + 491102 T^{6} + 11279504 T^{7} + 62742241 T^{8} \))(\( 1 + 8 T - 103 T^{2} - 88 T^{3} + 14272 T^{4} - 7832 T^{5} - 815863 T^{6} + 5639752 T^{7} + 62742241 T^{8} \))(\( 1 - 8 T - 103 T^{2} + 88 T^{3} + 14272 T^{4} + 7832 T^{5} - 815863 T^{6} - 5639752 T^{7} + 62742241 T^{8} \))(\( 1 - 16 T + 62 T^{2} - 256 T^{3} + 6931 T^{4} - 22784 T^{5} + 491102 T^{6} - 11279504 T^{7} + 62742241 T^{8} \))(\( ( 1 + 16 T + 89 T^{2} )^{2}( 1 - 16 T + 167 T^{2} - 1424 T^{3} + 7921 T^{4} ) \))(\( ( 1 - 16 T + 89 T^{2} )^{2}( 1 + 16 T + 167 T^{2} + 1424 T^{3} + 7921 T^{4} ) \))(\( 1 + 8 T - 103 T^{2} - 88 T^{3} + 14272 T^{4} - 7832 T^{5} - 815863 T^{6} + 5639752 T^{7} + 62742241 T^{8} \))(\( 1 - 16 T + 62 T^{2} - 256 T^{3} + 6931 T^{4} - 22784 T^{5} + 491102 T^{6} - 11279504 T^{7} + 62742241 T^{8} \))(\( 1 - 8 T - 103 T^{2} + 88 T^{3} + 14272 T^{4} + 7832 T^{5} - 815863 T^{6} - 5639752 T^{7} + 62742241 T^{8} \))(\( 1 + 16 T + 62 T^{2} + 256 T^{3} + 6931 T^{4} + 22784 T^{5} + 491102 T^{6} + 11279504 T^{7} + 62742241 T^{8} \))
$97$ (\( 1 + 18 T + 97 T^{2} \))(\( 1 + T + 97 T^{2} \))(\( 1 + 12 T + 222 T^{2} + 1164 T^{3} + 9409 T^{4} \))(\( 1 - 8 T + 190 T^{2} - 776 T^{3} + 9409 T^{4} \))(\( 1 + 9 T + 108 T^{2} + 873 T^{3} + 9409 T^{4} \))(\( 1 + 12 T + 222 T^{2} + 1164 T^{3} + 9409 T^{4} \))(\( 1 - 52 T^{2} + 15606 T^{4} - 489268 T^{6} + 88529281 T^{8} \))(\( 1 - 52 T^{2} + 15606 T^{4} - 489268 T^{6} + 88529281 T^{8} \))(\( 1 - 145 T^{2} + 9409 T^{4} \))(\( 1 - 178 T^{2} + 9409 T^{4} \))(\( 1 - 190 T^{2} + 9409 T^{4} \))(\( 1 - 178 T^{2} + 9409 T^{4} \))(\( 1 - 26 T^{2} + 8719 T^{4} + 446932 T^{6} + 82037071 T^{8} - 2301761306 T^{10} + 832972004929 T^{12} \))(\( ( 1 + 356 T^{2} + 50286 T^{4} + 3349604 T^{6} + 88529281 T^{8} )^{4} \))(\( 1 - 9 T - 16 T^{2} - 873 T^{3} + 9409 T^{4} \))(\( 1 + 2 T - 93 T^{2} + 194 T^{3} + 9409 T^{4} \))(\( 1 - 4 T - 167 T^{2} + 888 T^{3} + 5042 T^{4} - 25144 T^{5} - 827367 T^{6} - 2199130 T^{7} + 197329403 T^{8} - 213315610 T^{9} - 7784696103 T^{10} - 22948249912 T^{11} + 446364634802 T^{12} + 7625558148216 T^{13} - 139106324823143 T^{14} - 323193137912452 T^{15} + 7837433594376961 T^{16} \))(\( 1 - 12 T - 33 T^{2} + 1956 T^{3} - 21452 T^{4} + 120264 T^{5} + 108549 T^{6} - 18621312 T^{7} + 276817383 T^{8} - 1806267264 T^{9} + 1021337541 T^{10} + 109761705672 T^{11} - 1899130136012 T^{12} + 16796837542692 T^{13} - 27488076162657 T^{14} - 969579413737356 T^{15} + 7837433594376961 T^{16} \))(\( 1 + 32 T + 96 T^{2} - 4240 T^{3} + 41557 T^{4} + 1467386 T^{5} - 2429426 T^{6} - 116703246 T^{7} + 1775844382 T^{8} + 18457608542 T^{9} - 163047635337 T^{10} - 64121694798 T^{11} + 28748647747254 T^{12} - 6219804395406 T^{13} - 1534115200885833 T^{14} + 16845760960852766 T^{15} + 157214226306349342 T^{16} - 1002170482498374222 T^{17} - 2023643846046640754 T^{18} + \)\(11\!\cdots\!18\)\( T^{19} + \)\(32\!\cdots\!77\)\( T^{20} - \)\(32\!\cdots\!80\)\( T^{21} + \)\(70\!\cdots\!04\)\( T^{22} + \)\(22\!\cdots\!96\)\( T^{23} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 + 27 T + 15 T^{2} - 9096 T^{3} - 108991 T^{4} + 887943 T^{5} + 28936428 T^{6} + 99887319 T^{7} - 3490694579 T^{8} - 39893502474 T^{9} + 151428852180 T^{10} + 5743284567084 T^{11} + 21023505312788 T^{12} - 484348205982834 T^{13} - 5169233095099629 T^{14} + 18335501604402927 T^{15} + 619275518773189270 T^{16} + 1778543655627083919 T^{17} - 48637314191792409261 T^{18} - \)\(44\!\cdots\!82\)\( T^{19} + \)\(18\!\cdots\!28\)\( T^{20} + \)\(49\!\cdots\!88\)\( T^{21} + \)\(12\!\cdots\!20\)\( T^{22} - \)\(32\!\cdots\!62\)\( T^{23} - \)\(27\!\cdots\!19\)\( T^{24} + \)\(75\!\cdots\!23\)\( T^{25} + \)\(21\!\cdots\!72\)\( T^{26} + \)\(63\!\cdots\!79\)\( T^{27} - \)\(75\!\cdots\!31\)\( T^{28} - \)\(61\!\cdots\!92\)\( T^{29} + \)\(97\!\cdots\!35\)\( T^{30} + \)\(17\!\cdots\!11\)\( T^{31} + \)\(61\!\cdots\!21\)\( T^{32} \))(\( ( 1 + 6 T + 97 T^{2} )^{2} \))(\( ( 1 + 10 T + 97 T^{2} )^{2} \))(\( ( 1 - 16 T + 210 T^{2} - 1552 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 + 16 T + 250 T^{2} + 1552 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 - 12 T + 198 T^{2} - 1164 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 + 4 T + 211 T^{2} + 564 T^{3} + 20467 T^{4} + 37636 T^{5} + 912673 T^{6} )^{2} \))(\( ( 1 + 4 T + 211 T^{2} + 564 T^{3} + 20467 T^{4} + 37636 T^{5} + 912673 T^{6} )^{2} \))(\( 1 + 20 T + 119 T^{2} + 1740 T^{3} + 30752 T^{4} + 168780 T^{5} + 1119671 T^{6} + 18253460 T^{7} + 88529281 T^{8} \))(\( 1 + 20 T + 119 T^{2} + 1740 T^{3} + 30752 T^{4} + 168780 T^{5} + 1119671 T^{6} + 18253460 T^{7} + 88529281 T^{8} \))(\( 1 - 12 T + 72 T^{2} - 884 T^{3} + 15450 T^{4} - 102628 T^{5} + 509864 T^{6} - 1529948 T^{7} - 62272049 T^{8} + 410787880 T^{9} - 1704538608 T^{10} + 69640900504 T^{11} - 1520682376276 T^{12} + 6755167348888 T^{13} - 16038003762672 T^{14} + 374915006803240 T^{15} - 5512899724366769 T^{16} - 13138184051516636 T^{17} + 424702438321119656 T^{18} - 8292166339419780964 T^{19} + \)\(12\!\cdots\!50\)\( T^{20} - \)\(67\!\cdots\!28\)\( T^{21} + \)\(53\!\cdots\!28\)\( T^{22} - \)\(85\!\cdots\!36\)\( T^{23} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 - 12 T + 72 T^{2} - 884 T^{3} + 15450 T^{4} - 102628 T^{5} + 509864 T^{6} - 1529948 T^{7} - 62272049 T^{8} + 410787880 T^{9} - 1704538608 T^{10} + 69640900504 T^{11} - 1520682376276 T^{12} + 6755167348888 T^{13} - 16038003762672 T^{14} + 374915006803240 T^{15} - 5512899724366769 T^{16} - 13138184051516636 T^{17} + 424702438321119656 T^{18} - 8292166339419780964 T^{19} + \)\(12\!\cdots\!50\)\( T^{20} - \)\(67\!\cdots\!28\)\( T^{21} + \)\(53\!\cdots\!28\)\( T^{22} - \)\(85\!\cdots\!36\)\( T^{23} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 + 11458 T^{4} + 88529281 T^{8} \))(\( 1 + 11458 T^{4} + 88529281 T^{8} \))(\( 1 + 16903 T^{4} + 88529281 T^{8} \))(\( ( 1 + 11458 T^{4} + 88529281 T^{8} )^{2} \))(\( 1 - 55064 T^{4} + 1465436892 T^{8} - 24336256217256 T^{12} + 274732504520067270 T^{16} - \)\(21\!\cdots\!36\)\( T^{20} + \)\(11\!\cdots\!12\)\( T^{24} - \)\(38\!\cdots\!24\)\( T^{28} + \)\(61\!\cdots\!21\)\( T^{32} \))(\( 1 + 190 T^{2} + 26691 T^{4} + 1787710 T^{6} + 88529281 T^{8} \))(\( 1 - 12 T + 145 T^{2} - 1164 T^{3} + 9409 T^{4} \))(\( ( 1 - 149 T^{2} + 9409 T^{4} )^{2}( 1 + 149 T^{2} + 12792 T^{4} + 1401941 T^{6} + 88529281 T^{8} ) \))(\( ( 1 + 166 T^{2} + 9409 T^{4} )^{4} \))(\( 1 + 12 T + 145 T^{2} + 1164 T^{3} + 9409 T^{4} \))(\( ( 1 + 62 T^{2} + 9409 T^{4} )^{2} \))(\( ( 1 - 756 T^{2} + 251932 T^{4} - 48333356 T^{6} + 5838717718 T^{8} - 454768546604 T^{10} + 22303358820892 T^{12} - 629726835726324 T^{14} + 7837433594376961 T^{16} )^{2} \))(\( ( 1 - 192 T^{2} + 25234 T^{4} - 1806528 T^{6} + 88529281 T^{8} )^{4} \))(\( ( 1 + 2 T^{2} + 9409 T^{4} )( 1 + 167 T^{2} + 9409 T^{4} ) \))(\( 1 + 145 T^{2} + 11616 T^{4} + 1364305 T^{6} + 88529281 T^{8} \))(\( 1 - 432 T^{2} + 85686 T^{4} - 12118408 T^{6} + 1564041327 T^{8} - 184182428136 T^{10} + 19001698536324 T^{12} - 1732972466331624 T^{14} + 138463454133595887 T^{16} - 10094294608307633032 T^{18} + \)\(67\!\cdots\!46\)\( T^{20} - \)\(31\!\cdots\!68\)\( T^{22} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 - 432 T^{2} + 85686 T^{4} - 12118408 T^{6} + 1564041327 T^{8} - 184182428136 T^{10} + 19001698536324 T^{12} - 1732972466331624 T^{14} + 138463454133595887 T^{16} - 10094294608307633032 T^{18} + \)\(67\!\cdots\!46\)\( T^{20} - \)\(31\!\cdots\!68\)\( T^{22} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 - 6 T + 109 T^{2} - 582 T^{3} + 9409 T^{4} \))(\( 1 + 21 T + 244 T^{2} + 2037 T^{3} + 9409 T^{4} \))(\( 1 - 21 T + 244 T^{2} - 2037 T^{3} + 9409 T^{4} \))(\( 1 + 6 T + 109 T^{2} + 582 T^{3} + 9409 T^{4} \))(\( 1 - 3 T + 100 T^{2} - 291 T^{3} + 9409 T^{4} \))(\( 1 + 12 T + 145 T^{2} + 1164 T^{3} + 9409 T^{4} \))(\( 1 - 12 T + 145 T^{2} - 1164 T^{3} + 9409 T^{4} \))(\( 1 + 3 T + 100 T^{2} + 291 T^{3} + 9409 T^{4} \))(\( 1 + 190 T^{2} + 26691 T^{4} + 1787710 T^{6} + 88529281 T^{8} \))(\( 1 + 26 T + 458 T^{2} + 5604 T^{3} + 61583 T^{4} + 543588 T^{5} + 4309322 T^{6} + 23729498 T^{7} + 88529281 T^{8} \))(\( 1 - 14 T + 50 T^{2} + 1500 T^{3} - 23089 T^{4} + 145500 T^{5} + 470450 T^{6} - 12777422 T^{7} + 88529281 T^{8} \))(\( 1 + 2 T + 50 T^{2} - 1188 T^{3} - 4465 T^{4} - 115236 T^{5} + 470450 T^{6} + 1825346 T^{7} + 88529281 T^{8} \))(\( 1 + 34 T + 458 T^{2} + 2916 T^{3} + 15023 T^{4} + 282852 T^{5} + 4309322 T^{6} + 31030882 T^{7} + 88529281 T^{8} \))(\( 1 - 4 T + 8 T^{2} - 12 T^{3} - 8818 T^{4} - 1164 T^{5} + 75272 T^{6} - 3650692 T^{7} + 88529281 T^{8} \))(\( 1 + 4 T + 8 T^{2} + 12 T^{3} - 8818 T^{4} + 1164 T^{5} + 75272 T^{6} + 3650692 T^{7} + 88529281 T^{8} \))(\( 1 - 2 T + 50 T^{2} + 1188 T^{3} - 4465 T^{4} + 115236 T^{5} + 470450 T^{6} - 1825346 T^{7} + 88529281 T^{8} \))(\( 1 - 26 T + 458 T^{2} - 5604 T^{3} + 61583 T^{4} - 543588 T^{5} + 4309322 T^{6} - 23729498 T^{7} + 88529281 T^{8} \))(\( 1 + 14 T + 50 T^{2} - 1500 T^{3} - 23089 T^{4} - 145500 T^{5} + 470450 T^{6} + 12777422 T^{7} + 88529281 T^{8} \))(\( 1 - 34 T + 458 T^{2} - 2916 T^{3} + 15023 T^{4} - 282852 T^{5} + 4309322 T^{6} - 31030882 T^{7} + 88529281 T^{8} \))
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