Properties

Label 525.4
Level 525
Weight 4
Dimension 18874
Nonzero newspaces 24
Sturm bound 76800
Trace bound 4

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Defining parameters

Level: \( N \) = \( 525\( 525 = 3 \cdot 5^{2} \cdot 7 \) \)
Weight: \( k \) = \( 4 \)
Nonzero newspaces: \( 24 \)
Sturm bound: \(76800\)
Trace bound: \(4\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(\Gamma_1(525))\).

Total New Old
Modular forms 29472 19286 10186
Cusp forms 28128 18874 9254
Eisenstein series 1344 412 932

Trace form

\( 18874q + 16q^{2} - 37q^{3} - 134q^{4} + 12q^{5} - 60q^{6} - 146q^{7} - 90q^{8} - 49q^{9} + O(q^{10}) \) \( 18874q + 16q^{2} - 37q^{3} - 134q^{4} + 12q^{5} - 60q^{6} - 146q^{7} - 90q^{8} - 49q^{9} - 248q^{10} - 224q^{11} + 320q^{12} + 540q^{13} + 216q^{14} + 272q^{15} + 18q^{16} - 1132q^{17} - 922q^{18} - 978q^{19} - 312q^{20} - 393q^{21} + 1128q^{22} + 440q^{23} + 300q^{24} + 1652q^{25} - 1254q^{26} + 1100q^{27} + 134q^{28} + 3208q^{29} + 2732q^{30} + 2402q^{31} + 2830q^{32} + 1055q^{33} - 2700q^{34} + 208q^{35} + 2510q^{36} - 1758q^{37} - 5594q^{38} - 4500q^{39} - 7984q^{40} - 3872q^{41} - 996q^{42} + 328q^{43} - 336q^{44} + 2128q^{45} + 1700q^{46} + 2744q^{47} + 3004q^{48} + 234q^{49} + 16448q^{50} + 731q^{51} + 7952q^{52} + 5008q^{53} + 2502q^{54} - 3832q^{55} - 20166q^{56} - 5690q^{57} - 26912q^{58} - 12784q^{59} - 2716q^{60} + 50q^{61} - 12724q^{62} + 3917q^{63} + 12214q^{64} + 4612q^{65} + 18762q^{66} + 25574q^{67} + 34448q^{68} + 5968q^{69} + 23204q^{70} + 9620q^{71} - 22722q^{72} + 5610q^{73} + 9638q^{74} - 15096q^{75} - 7848q^{76} + 108q^{77} - 17192q^{78} - 14686q^{79} - 6848q^{80} + 4499q^{81} - 51776q^{82} - 39704q^{83} - 18326q^{84} - 41684q^{85} - 36194q^{86} + 864q^{87} - 33524q^{88} - 8556q^{89} + 31916q^{90} + 8224q^{91} + 16720q^{92} + 30871q^{93} + 58296q^{94} + 31888q^{95} + 16788q^{96} + 62284q^{97} + 19242q^{98} - 14694q^{99} + O(q^{100}) \)

Decomposition of \(S_{4}^{\mathrm{new}}(\Gamma_1(525))\)

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
525.4.a \(\chi_{525}(1, \cdot)\) 525.4.a.a 1 1
525.4.a.b 1
525.4.a.c 1
525.4.a.d 1
525.4.a.e 1
525.4.a.f 1
525.4.a.g 1
525.4.a.h 1
525.4.a.i 2
525.4.a.j 2
525.4.a.k 2
525.4.a.l 2
525.4.a.m 2
525.4.a.n 2
525.4.a.o 2
525.4.a.p 2
525.4.a.q 3
525.4.a.r 3
525.4.a.s 4
525.4.a.t 4
525.4.a.u 4
525.4.a.v 4
525.4.a.w 5
525.4.a.x 5
525.4.b \(\chi_{525}(251, \cdot)\) n/a 146 1
525.4.d \(\chi_{525}(274, \cdot)\) 525.4.d.a 2 1
525.4.d.b 2
525.4.d.c 2
525.4.d.d 2
525.4.d.e 2
525.4.d.f 2
525.4.d.g 4
525.4.d.h 4
525.4.d.i 4
525.4.d.j 4
525.4.d.k 4
525.4.d.l 4
525.4.d.m 4
525.4.d.n 8
525.4.d.o 8
525.4.g \(\chi_{525}(524, \cdot)\) n/a 140 1
525.4.i \(\chi_{525}(151, \cdot)\) n/a 152 2
525.4.j \(\chi_{525}(218, \cdot)\) n/a 216 2
525.4.m \(\chi_{525}(118, \cdot)\) n/a 144 2
525.4.n \(\chi_{525}(106, \cdot)\) n/a 368 4
525.4.q \(\chi_{525}(299, \cdot)\) n/a 280 2
525.4.r \(\chi_{525}(424, \cdot)\) n/a 144 2
525.4.t \(\chi_{525}(26, \cdot)\) n/a 292 2
525.4.w \(\chi_{525}(104, \cdot)\) n/a 944 4
525.4.z \(\chi_{525}(64, \cdot)\) n/a 352 4
525.4.bb \(\chi_{525}(41, \cdot)\) n/a 944 4
525.4.bc \(\chi_{525}(82, \cdot)\) n/a 288 4
525.4.bf \(\chi_{525}(32, \cdot)\) n/a 560 4
525.4.bg \(\chi_{525}(16, \cdot)\) n/a 960 8
525.4.bh \(\chi_{525}(13, \cdot)\) n/a 960 8
525.4.bk \(\chi_{525}(8, \cdot)\) n/a 1440 8
525.4.bm \(\chi_{525}(131, \cdot)\) n/a 1888 8
525.4.bo \(\chi_{525}(4, \cdot)\) n/a 960 8
525.4.bp \(\chi_{525}(59, \cdot)\) n/a 1888 8
525.4.bs \(\chi_{525}(2, \cdot)\) n/a 3776 16
525.4.bv \(\chi_{525}(52, \cdot)\) n/a 1920 16

"n/a" means that newforms for that character have not been added to the database yet

Decomposition of \(S_{4}^{\mathrm{old}}(\Gamma_1(525))\) into lower level spaces

\( S_{4}^{\mathrm{old}}(\Gamma_1(525)) \cong \) \(S_{4}^{\mathrm{new}}(\Gamma_1(5))\)\(^{\oplus 8}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(7))\)\(^{\oplus 6}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(15))\)\(^{\oplus 4}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(21))\)\(^{\oplus 3}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(25))\)\(^{\oplus 4}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(35))\)\(^{\oplus 4}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(75))\)\(^{\oplus 2}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(105))\)\(^{\oplus 2}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(175))\)\(^{\oplus 2}\)

Hecke characteristic polynomials

$p$ $F_p(T)$
$2$ (\( 1 + 5 T + 8 T^{2} \))(\( 1 + 4 T + 8 T^{2} \))(\( 1 + 3 T + 8 T^{2} \))(\( 1 + 2 T + 8 T^{2} \))(\( 1 + 8 T^{2} \))(\( 1 - 2 T + 8 T^{2} \))(\( 1 - 3 T + 8 T^{2} \))(\( 1 - 3 T + 8 T^{2} \))(\( 1 + 3 T + 8 T^{2} + 24 T^{3} + 64 T^{4} \))(\( 1 + 3 T + 14 T^{2} + 24 T^{3} + 64 T^{4} \))(\( 1 + T + 8 T^{3} + 64 T^{4} \))(\( 1 - 2 T + 9 T^{2} - 16 T^{3} + 64 T^{4} \))(\( 1 - 3 T + 14 T^{2} - 24 T^{3} + 64 T^{4} \))(\( 1 - 3 T + 4 T^{2} - 24 T^{3} + 64 T^{4} \))(\( 1 - 4 T + 15 T^{2} - 32 T^{3} + 64 T^{4} \))(\( 1 - 7 T + 24 T^{2} - 56 T^{3} + 64 T^{4} \))(\( 1 + T + 11 T^{2} + 15 T^{3} + 88 T^{4} + 64 T^{5} + 512 T^{6} \))(\( 1 - T + 11 T^{2} - 15 T^{3} + 88 T^{4} - 64 T^{5} + 512 T^{6} \))(\( 1 + 6 T + 26 T^{2} + 99 T^{3} + 298 T^{4} + 792 T^{5} + 1664 T^{6} + 3072 T^{7} + 4096 T^{8} \))(\( 1 + 8 T^{2} + 3 T^{3} + 46 T^{4} + 24 T^{5} + 512 T^{6} + 4096 T^{8} \))(\( 1 + 8 T^{2} - 3 T^{3} + 46 T^{4} - 24 T^{5} + 512 T^{6} + 4096 T^{8} \))(\( 1 - 6 T + 26 T^{2} - 99 T^{3} + 298 T^{4} - 792 T^{5} + 1664 T^{6} - 3072 T^{7} + 4096 T^{8} \))(\( 1 + T + 7 T^{2} + 15 T^{3} + 48 T^{4} + 32 T^{5} + 384 T^{6} + 960 T^{7} + 3584 T^{8} + 4096 T^{9} + 32768 T^{10} \))(\( 1 - T + 7 T^{2} - 15 T^{3} + 48 T^{4} - 32 T^{5} + 384 T^{6} - 960 T^{7} + 3584 T^{8} - 4096 T^{9} + 32768 T^{10} \))(\( 1 + 9 T^{2} + 64 T^{4} \))(\( ( 1 - 4 T + 8 T^{2} )( 1 + 4 T + 8 T^{2} ) \))(\( 1 - 7 T^{2} + 64 T^{4} \))(\( 1 - 7 T^{2} + 64 T^{4} \))(\( 1 - 12 T^{2} + 64 T^{4} \))(\( ( 1 - 8 T^{2} )^{2} \))(\( 1 + T^{2} + 64 T^{6} + 4096 T^{8} \))(\( 1 + T^{2} + 112 T^{4} + 64 T^{6} + 4096 T^{8} \))(\( 1 + T^{2} - 80 T^{4} + 64 T^{6} + 4096 T^{8} \))(\( 1 - 7 T^{2} + 48 T^{4} - 448 T^{6} + 4096 T^{8} \))(\( 1 - 14 T^{2} + 97 T^{4} - 896 T^{6} + 4096 T^{8} \))(\( 1 - 14 T^{2} + 145 T^{4} - 896 T^{6} + 4096 T^{8} \))(\( 1 - 19 T^{2} + 180 T^{4} - 1216 T^{6} + 4096 T^{8} \))(\( 1 - 16 T^{2} + 156 T^{4} - 1751 T^{6} + 18356 T^{8} - 112064 T^{10} + 638976 T^{12} - 4194304 T^{14} + 16777216 T^{16} \))(\( 1 - 16 T^{2} + 84 T^{4} + 481 T^{6} - 10156 T^{8} + 30784 T^{10} + 344064 T^{12} - 4194304 T^{14} + 16777216 T^{16} \))
$3$ (\( 1 - 3 T \))(\( 1 - 3 T \))(\( 1 + 3 T \))(\( 1 - 3 T \))(\( 1 - 3 T \))(\( 1 + 3 T \))(\( 1 - 3 T \))(\( 1 - 3 T \))(\( ( 1 + 3 T )^{2} \))(\( ( 1 - 3 T )^{2} \))(\( ( 1 + 3 T )^{2} \))(\( ( 1 - 3 T )^{2} \))(\( ( 1 + 3 T )^{2} \))(\( ( 1 + 3 T )^{2} \))(\( ( 1 + 3 T )^{2} \))(\( ( 1 - 3 T )^{2} \))(\( ( 1 - 3 T )^{3} \))(\( ( 1 + 3 T )^{3} \))(\( ( 1 + 3 T )^{4} \))(\( ( 1 + 3 T )^{4} \))(\( ( 1 - 3 T )^{4} \))(\( ( 1 - 3 T )^{4} \))(\( ( 1 - 3 T )^{5} \))(\( ( 1 + 3 T )^{5} \))(\( 1 + 9 T^{2} \))(\( 1 + 9 T^{2} \))(\( 1 + 9 T^{2} \))(\( 1 + 9 T^{2} \))(\( 1 + 9 T^{2} \))(\( 1 + 9 T^{2} \))(\( ( 1 + 9 T^{2} )^{2} \))(\( ( 1 + 9 T^{2} )^{2} \))(\( ( 1 + 9 T^{2} )^{2} \))(\( ( 1 + 9 T^{2} )^{2} \))(\( ( 1 + 9 T^{2} )^{2} \))(\( ( 1 + 9 T^{2} )^{2} \))(\( ( 1 + 9 T^{2} )^{2} \))(\( ( 1 + 9 T^{2} )^{4} \))(\( ( 1 + 9 T^{2} )^{4} \))
$5$ 1
$7$ (\( 1 + 7 T \))(\( 1 - 7 T \))(\( 1 - 7 T \))(\( 1 + 7 T \))(\( 1 + 7 T \))(\( 1 - 7 T \))(\( 1 + 7 T \))(\( 1 + 7 T \))(\( ( 1 + 7 T )^{2} \))(\( ( 1 - 7 T )^{2} \))(\( ( 1 - 7 T )^{2} \))(\( ( 1 - 7 T )^{2} \))(\( ( 1 + 7 T )^{2} \))(\( ( 1 + 7 T )^{2} \))(\( ( 1 - 7 T )^{2} \))(\( ( 1 - 7 T )^{2} \))(\( ( 1 - 7 T )^{3} \))(\( ( 1 + 7 T )^{3} \))(\( ( 1 - 7 T )^{4} \))(\( ( 1 + 7 T )^{4} \))(\( ( 1 - 7 T )^{4} \))(\( ( 1 + 7 T )^{4} \))(\( ( 1 + 7 T )^{5} \))(\( ( 1 - 7 T )^{5} \))(\( 1 + 49 T^{2} \))(\( 1 + 49 T^{2} \))(\( 1 + 49 T^{2} \))(\( 1 + 49 T^{2} \))(\( 1 + 49 T^{2} \))(\( 1 + 49 T^{2} \))(\( ( 1 + 49 T^{2} )^{2} \))(\( ( 1 + 49 T^{2} )^{2} \))(\( ( 1 + 49 T^{2} )^{2} \))(\( ( 1 + 49 T^{2} )^{2} \))(\( ( 1 + 49 T^{2} )^{2} \))(\( ( 1 + 49 T^{2} )^{2} \))(\( ( 1 + 49 T^{2} )^{2} \))(\( ( 1 + 49 T^{2} )^{4} \))(\( ( 1 + 49 T^{2} )^{4} \))
$11$ (\( 1 - 12 T + 1331 T^{2} \))(\( 1 - 62 T + 1331 T^{2} \))(\( 1 + 6 T + 1331 T^{2} \))(\( 1 + 21 T + 1331 T^{2} \))(\( 1 - 42 T + 1331 T^{2} \))(\( 1 + 21 T + 1331 T^{2} \))(\( 1 + 36 T + 1331 T^{2} \))(\( 1 + 6 T + 1331 T^{2} \))(\( 1 - 62 T + 3582 T^{2} - 82522 T^{3} + 1771561 T^{4} \))(\( 1 + 31 T + 2796 T^{2} + 41261 T^{3} + 1771561 T^{4} \))(\( 1 + 22 T + 2718 T^{2} + 29282 T^{3} + 1771561 T^{4} \))(\( 1 + 16 T - 474 T^{2} + 21296 T^{3} + 1771561 T^{4} \))(\( 1 + 31 T + 2796 T^{2} + 41261 T^{3} + 1771561 T^{4} \))(\( 1 + 6 T + 1246 T^{2} + 7986 T^{3} + 1771561 T^{4} \))(\( 1 + 92 T + 4758 T^{2} + 122452 T^{3} + 1771561 T^{4} \))(\( 1 + 26 T + 2406 T^{2} + 34606 T^{3} + 1771561 T^{4} \))(\( 1 + 66 T + 3717 T^{2} + 169572 T^{3} + 4947327 T^{4} + 116923026 T^{5} + 2357947691 T^{6} \))(\( 1 + 66 T + 3717 T^{2} + 169572 T^{3} + 4947327 T^{4} + 116923026 T^{5} + 2357947691 T^{6} \))(\( 1 - 57 T + 4001 T^{2} - 182772 T^{3} + 7206874 T^{4} - 243269532 T^{5} + 7088015561 T^{6} - 134403018387 T^{7} + 3138428376721 T^{8} \))(\( 1 - 21 T + 2681 T^{2} - 22236 T^{3} + 3289690 T^{4} - 29596116 T^{5} + 4749555041 T^{6} - 49516901511 T^{7} + 3138428376721 T^{8} \))(\( 1 - 21 T + 2681 T^{2} - 22236 T^{3} + 3289690 T^{4} - 29596116 T^{5} + 4749555041 T^{6} - 49516901511 T^{7} + 3138428376721 T^{8} \))(\( 1 - 57 T + 4001 T^{2} - 182772 T^{3} + 7206874 T^{4} - 243269532 T^{5} + 7088015561 T^{6} - 134403018387 T^{7} + 3138428376721 T^{8} \))(\( 1 - 66 T + 4555 T^{2} - 210928 T^{3} + 10802758 T^{4} - 383496700 T^{5} + 14378470898 T^{6} - 373671818608 T^{7} + 10740451732505 T^{8} - 207136272863586 T^{9} + 4177248169415651 T^{10} \))(\( 1 - 66 T + 4555 T^{2} - 210928 T^{3} + 10802758 T^{4} - 383496700 T^{5} + 14378470898 T^{6} - 373671818608 T^{7} + 10740451732505 T^{8} - 207136272863586 T^{9} + 4177248169415651 T^{10} \))(\( ( 1 - 12 T + 1331 T^{2} )^{2} \))(\( ( 1 - 62 T + 1331 T^{2} )^{2} \))(\( ( 1 + 36 T + 1331 T^{2} )^{2} \))(\( ( 1 + 6 T + 1331 T^{2} )^{2} \))(\( ( 1 + 21 T + 1331 T^{2} )^{2} \))(\( ( 1 - 42 T + 1331 T^{2} )^{2} \))(\( ( 1 + 6 T + 1246 T^{2} + 7986 T^{3} + 1771561 T^{4} )^{2} \))(\( ( 1 + 22 T + 2718 T^{2} + 29282 T^{3} + 1771561 T^{4} )^{2} \))(\( ( 1 + 26 T + 2406 T^{2} + 34606 T^{3} + 1771561 T^{4} )^{2} \))(\( ( 1 - 62 T + 3582 T^{2} - 82522 T^{3} + 1771561 T^{4} )^{2} \))(\( ( 1 + 92 T + 4758 T^{2} + 122452 T^{3} + 1771561 T^{4} )^{2} \))(\( ( 1 + 16 T - 474 T^{2} + 21296 T^{3} + 1771561 T^{4} )^{2} \))(\( ( 1 + 31 T + 2796 T^{2} + 41261 T^{3} + 1771561 T^{4} )^{2} \))(\( ( 1 - 21 T + 2681 T^{2} - 22236 T^{3} + 3289690 T^{4} - 29596116 T^{5} + 4749555041 T^{6} - 49516901511 T^{7} + 3138428376721 T^{8} )^{2} \))(\( ( 1 - 57 T + 4001 T^{2} - 182772 T^{3} + 7206874 T^{4} - 243269532 T^{5} + 7088015561 T^{6} - 134403018387 T^{7} + 3138428376721 T^{8} )^{2} \))
$13$ (\( 1 + 30 T + 2197 T^{2} \))(\( 1 - 62 T + 2197 T^{2} \))(\( 1 - 41 T + 2197 T^{2} \))(\( 1 - 24 T + 2197 T^{2} \))(\( 1 + 20 T + 2197 T^{2} \))(\( 1 + 24 T + 2197 T^{2} \))(\( 1 - 34 T + 2197 T^{2} \))(\( 1 + 41 T + 2197 T^{2} \))(\( 1 - 6 T + 3378 T^{2} - 13182 T^{3} + 4826809 T^{4} \))(\( 1 + 39 T + 3546 T^{2} + 85683 T^{3} + 4826809 T^{4} \))(\( 1 - 22 T + 4450 T^{2} - 48334 T^{3} + 4826809 T^{4} \))(\( 1 - 76 T + 5806 T^{2} - 166972 T^{3} + 4826809 T^{4} \))(\( 1 - 39 T + 3546 T^{2} - 85683 T^{3} + 4826809 T^{4} \))(\( 1 + 16 T + 2406 T^{2} + 35152 T^{3} + 4826809 T^{4} \))(\( 1 + 8 T - 2810 T^{2} + 17576 T^{3} + 4826809 T^{4} \))(\( 1 + 14 T + 2386 T^{2} + 30758 T^{3} + 4826809 T^{4} \))(\( 1 + 102 T + 9675 T^{2} + 476884 T^{3} + 21255975 T^{4} + 492334518 T^{5} + 10604499373 T^{6} \))(\( 1 - 102 T + 9675 T^{2} - 476884 T^{3} + 21255975 T^{4} - 492334518 T^{5} + 10604499373 T^{6} \))(\( 1 + 43 T + 4464 T^{2} + 221093 T^{3} + 13201958 T^{4} + 485741321 T^{5} + 21546875376 T^{6} + 455993473039 T^{7} + 23298085122481 T^{8} \))(\( 1 + 5 T + 1848 T^{2} - 69653 T^{3} - 988138 T^{4} - 153027641 T^{5} + 8919943032 T^{6} + 53022496865 T^{7} + 23298085122481 T^{8} \))(\( 1 - 5 T + 1848 T^{2} + 69653 T^{3} - 988138 T^{4} + 153027641 T^{5} + 8919943032 T^{6} - 53022496865 T^{7} + 23298085122481 T^{8} \))(\( 1 - 43 T + 4464 T^{2} - 221093 T^{3} + 13201958 T^{4} - 485741321 T^{5} + 21546875376 T^{6} - 455993473039 T^{7} + 23298085122481 T^{8} \))(\( 1 - 2 T + 6833 T^{2} - 33080 T^{3} + 25238338 T^{4} - 84665324 T^{5} + 55448628586 T^{6} - 159670841720 T^{7} + 72460544215709 T^{8} - 46596170244962 T^{9} + 51185893014090757 T^{10} \))(\( 1 + 2 T + 6833 T^{2} + 33080 T^{3} + 25238338 T^{4} + 84665324 T^{5} + 55448628586 T^{6} + 159670841720 T^{7} + 72460544215709 T^{8} + 46596170244962 T^{9} + 51185893014090757 T^{10} \))(\( 1 - 3494 T^{2} + 4826809 T^{4} \))(\( 1 - 550 T^{2} + 4826809 T^{4} \))(\( 1 - 3238 T^{2} + 4826809 T^{4} \))(\( 1 - 2713 T^{2} + 4826809 T^{4} \))(\( 1 - 3818 T^{2} + 4826809 T^{4} \))(\( 1 - 3994 T^{2} + 4826809 T^{4} \))(\( 1 - 4556 T^{2} + 14317590 T^{4} - 21990941804 T^{6} + 23298085122481 T^{8} \))(\( 1 - 8416 T^{2} + 27329422 T^{4} - 40622424544 T^{6} + 23298085122481 T^{8} \))(\( 1 - 4576 T^{2} + 14485390 T^{4} - 22087477984 T^{6} + 23298085122481 T^{8} \))(\( 1 - 6720 T^{2} + 20906318 T^{4} - 32436156480 T^{6} + 23298085122481 T^{8} \))(\( 1 + 5684 T^{2} + 17268502 T^{4} + 27435582356 T^{6} + 23298085122481 T^{8} \))(\( 1 - 5836 T^{2} + 17983510 T^{4} - 28169257324 T^{6} + 23298085122481 T^{8} \))(\( 1 - 5571 T^{2} + 15544460 T^{4} - 26890152939 T^{6} + 23298085122481 T^{8} \))(\( 1 - 3671 T^{2} + 2135358 T^{4} - 10866464017 T^{6} + 58692802872482 T^{8} - 52450346315431753 T^{10} + 49749752450970783198 T^{12} - \)\(41\!\cdots\!59\)\( T^{14} + \)\(54\!\cdots\!61\)\( T^{16} \))(\( 1 - 7079 T^{2} + 27317214 T^{4} - 70304963521 T^{6} + 159254918186594 T^{8} - 339348630667834489 T^{10} + \)\(63\!\cdots\!34\)\( T^{12} - \)\(79\!\cdots\!91\)\( T^{14} + \)\(54\!\cdots\!61\)\( T^{16} \))
$17$ (\( 1 - 134 T + 4913 T^{2} \))(\( 1 + 84 T + 4913 T^{2} \))(\( 1 - 27 T + 4913 T^{2} \))(\( 1 + 22 T + 4913 T^{2} \))(\( 1 + 66 T + 4913 T^{2} \))(\( 1 - 22 T + 4913 T^{2} \))(\( 1 + 42 T + 4913 T^{2} \))(\( 1 + 27 T + 4913 T^{2} \))(\( 1 + 40 T + 8750 T^{2} + 196520 T^{3} + 24137569 T^{4} \))(\( 1 - 79 T + 8288 T^{2} - 388127 T^{3} + 24137569 T^{4} \))(\( 1 + 116 T + 9030 T^{2} + 569908 T^{3} + 24137569 T^{4} \))(\( 1 - 124 T + 13638 T^{2} - 609212 T^{3} + 24137569 T^{4} \))(\( 1 + 79 T + 8288 T^{2} + 388127 T^{3} + 24137569 T^{4} \))(\( 1 - 6 T + 9778 T^{2} - 29478 T^{3} + 24137569 T^{4} \))(\( 1 - 44 T + 630 T^{2} - 216172 T^{3} + 24137569 T^{4} \))(\( 1 + 16 T + 6558 T^{2} + 78608 T^{3} + 24137569 T^{4} \))(\( 1 + 152 T + 20867 T^{2} + 1561824 T^{3} + 102519571 T^{4} + 3668910488 T^{5} + 118587876497 T^{6} \))(\( 1 - 152 T + 20867 T^{2} - 1561824 T^{3} + 102519571 T^{4} - 3668910488 T^{5} + 118587876497 T^{6} \))(\( 1 + 99 T + 13790 T^{2} + 926229 T^{3} + 90687946 T^{4} + 4550563077 T^{5} + 332857076510 T^{6} + 11740199773203 T^{7} + 582622237229761 T^{8} \))(\( 1 + 99 T + 13298 T^{2} + 508917 T^{3} + 56706418 T^{4} + 2500309221 T^{5} + 320981392562 T^{6} + 11740199773203 T^{7} + 582622237229761 T^{8} \))(\( 1 - 99 T + 13298 T^{2} - 508917 T^{3} + 56706418 T^{4} - 2500309221 T^{5} + 320981392562 T^{6} - 11740199773203 T^{7} + 582622237229761 T^{8} \))(\( 1 - 99 T + 13790 T^{2} - 926229 T^{3} + 90687946 T^{4} - 4550563077 T^{5} + 332857076510 T^{6} - 11740199773203 T^{7} + 582622237229761 T^{8} \))(\( 1 + 108 T + 7625 T^{2} + 580624 T^{3} + 28716998 T^{4} + 723515208 T^{5} + 141086611174 T^{6} + 14014851863056 T^{7} + 904232558289625 T^{8} + 62923201620814188 T^{9} + 2862423051509815793 T^{10} \))(\( 1 - 108 T + 7625 T^{2} - 580624 T^{3} + 28716998 T^{4} - 723515208 T^{5} + 141086611174 T^{6} - 14014851863056 T^{7} + 904232558289625 T^{8} - 62923201620814188 T^{9} + 2862423051509815793 T^{10} \))(\( 1 + 8130 T^{2} + 24137569 T^{4} \))(\( 1 - 2770 T^{2} + 24137569 T^{4} \))(\( 1 - 8062 T^{2} + 24137569 T^{4} \))(\( 1 - 9097 T^{2} + 24137569 T^{4} \))(\( 1 - 9342 T^{2} + 24137569 T^{4} \))(\( 1 - 5470 T^{2} + 24137569 T^{4} \))(\( 1 - 19520 T^{2} + 143530686 T^{4} - 471165346880 T^{6} + 582622237229761 T^{8} \))(\( 1 - 4604 T^{2} - 2402618 T^{4} - 111129367676 T^{6} + 582622237229761 T^{8} \))(\( 1 - 12860 T^{2} + 88767046 T^{4} - 310409137340 T^{6} + 582622237229761 T^{8} \))(\( 1 - 15900 T^{2} + 109116038 T^{4} - 383787347100 T^{6} + 582622237229761 T^{8} \))(\( 1 + 676 T^{2} + 29648902 T^{4} + 16316996644 T^{6} + 582622237229761 T^{8} \))(\( 1 - 11900 T^{2} + 83185606 T^{4} - 287237071100 T^{6} + 582622237229761 T^{8} \))(\( 1 - 10335 T^{2} + 55642016 T^{4} - 249461775615 T^{6} + 582622237229761 T^{8} \))(\( 1 - 16795 T^{2} + 189484074 T^{4} - 1396068939605 T^{6} + 8048224142687690 T^{8} - 33697710358472520245 T^{10} + \)\(11\!\cdots\!14\)\( T^{12} - \)\(23\!\cdots\!55\)\( T^{14} + \)\(33\!\cdots\!21\)\( T^{16} \))(\( 1 - 17779 T^{2} + 188146650 T^{4} - 1407976054013 T^{6} + 7815459662716778 T^{8} - 33985119154086514397 T^{10} + \)\(10\!\cdots\!50\)\( T^{12} - \)\(25\!\cdots\!11\)\( T^{14} + \)\(33\!\cdots\!21\)\( T^{16} \))
$19$ (\( 1 + 92 T + 6859 T^{2} \))(\( 1 - 100 T + 6859 T^{2} \))(\( 1 + 4 T + 6859 T^{2} \))(\( 1 - 16 T + 6859 T^{2} \))(\( 1 - 38 T + 6859 T^{2} \))(\( 1 - 16 T + 6859 T^{2} \))(\( 1 + 124 T + 6859 T^{2} \))(\( 1 + 4 T + 6859 T^{2} \))(\( 1 + 122 T + 17398 T^{2} + 836798 T^{3} + 47045881 T^{4} \))(\( 1 + 56 T + 1174 T^{2} + 384104 T^{3} + 47045881 T^{4} \))(\( 1 - 102 T + 13134 T^{2} - 699618 T^{3} + 47045881 T^{4} \))(\( 1 + 96 T + 13974 T^{2} + 658464 T^{3} + 47045881 T^{4} \))(\( 1 + 56 T + 1174 T^{2} + 384104 T^{3} + 47045881 T^{4} \))(\( 1 - 64 T + 6534 T^{2} - 438976 T^{3} + 47045881 T^{4} \))(\( 1 + 108 T + 13254 T^{2} + 740772 T^{3} + 47045881 T^{4} \))(\( 1 - 174 T + 18414 T^{2} - 1193466 T^{3} + 47045881 T^{4} \))(\( 1 + 138 T + 26205 T^{2} + 1963716 T^{3} + 179740095 T^{4} + 6492331578 T^{5} + 322687697779 T^{6} \))(\( 1 + 138 T + 26205 T^{2} + 1963716 T^{3} + 179740095 T^{4} + 6492331578 T^{5} + 322687697779 T^{6} \))(\( 1 + 12 T - 10212 T^{2} + 154020 T^{3} + 95206646 T^{4} + 1056423180 T^{5} - 480432536772 T^{6} + 3872252373348 T^{7} + 2213314919066161 T^{8} \))(\( 1 - 72 T + 25164 T^{2} - 1424592 T^{3} + 252125750 T^{4} - 9771276528 T^{5} + 1183862549484 T^{6} - 23233514240088 T^{7} + 2213314919066161 T^{8} \))(\( 1 - 72 T + 25164 T^{2} - 1424592 T^{3} + 252125750 T^{4} - 9771276528 T^{5} + 1183862549484 T^{6} - 23233514240088 T^{7} + 2213314919066161 T^{8} \))(\( 1 + 12 T - 10212 T^{2} + 154020 T^{3} + 95206646 T^{4} + 1056423180 T^{5} - 480432536772 T^{6} + 3872252373348 T^{7} + 2213314919066161 T^{8} \))(\( 1 - 174 T + 30655 T^{2} - 3260120 T^{3} + 355132498 T^{4} - 29134734196 T^{5} + 2435853803782 T^{6} - 153375217565720 T^{7} + 9891991375415245 T^{8} - 385116795917512014 T^{9} + 15181127029874798299 T^{10} \))(\( 1 - 174 T + 30655 T^{2} - 3260120 T^{3} + 355132498 T^{4} - 29134734196 T^{5} + 2435853803782 T^{6} - 153375217565720 T^{7} + 9891991375415245 T^{8} - 385116795917512014 T^{9} + 15181127029874798299 T^{10} \))(\( ( 1 - 92 T + 6859 T^{2} )^{2} \))(\( ( 1 + 100 T + 6859 T^{2} )^{2} \))(\( ( 1 - 124 T + 6859 T^{2} )^{2} \))(\( ( 1 - 4 T + 6859 T^{2} )^{2} \))(\( ( 1 + 16 T + 6859 T^{2} )^{2} \))(\( ( 1 + 38 T + 6859 T^{2} )^{2} \))(\( ( 1 + 64 T + 6534 T^{2} + 438976 T^{3} + 47045881 T^{4} )^{2} \))(\( ( 1 + 102 T + 13134 T^{2} + 699618 T^{3} + 47045881 T^{4} )^{2} \))(\( ( 1 + 174 T + 18414 T^{2} + 1193466 T^{3} + 47045881 T^{4} )^{2} \))(\( ( 1 - 122 T + 17398 T^{2} - 836798 T^{3} + 47045881 T^{4} )^{2} \))(\( ( 1 - 108 T + 13254 T^{2} - 740772 T^{3} + 47045881 T^{4} )^{2} \))(\( ( 1 - 96 T + 13974 T^{2} - 658464 T^{3} + 47045881 T^{4} )^{2} \))(\( ( 1 - 56 T + 1174 T^{2} - 384104 T^{3} + 47045881 T^{4} )^{2} \))(\( ( 1 + 72 T + 25164 T^{2} + 1424592 T^{3} + 252125750 T^{4} + 9771276528 T^{5} + 1183862549484 T^{6} + 23233514240088 T^{7} + 2213314919066161 T^{8} )^{2} \))(\( ( 1 - 12 T - 10212 T^{2} - 154020 T^{3} + 95206646 T^{4} - 1056423180 T^{5} - 480432536772 T^{6} - 3872252373348 T^{7} + 2213314919066161 T^{8} )^{2} \))
$23$ (\( 1 + 112 T + 12167 T^{2} \))(\( 1 - 42 T + 12167 T^{2} \))(\( 1 - 75 T + 12167 T^{2} \))(\( 1 + 25 T + 12167 T^{2} \))(\( 1 + 12 T + 12167 T^{2} \))(\( 1 - 25 T + 12167 T^{2} \))(\( 1 + 12167 T^{2} \))(\( 1 + 75 T + 12167 T^{2} \))(\( 1 + 16 T + 782 T^{2} + 194672 T^{3} + 148035889 T^{4} \))(\( 1 + 254 T + 38015 T^{2} + 3090418 T^{3} + 148035889 T^{4} \))(\( 1 + 260 T + 34734 T^{2} + 3163420 T^{3} + 148035889 T^{4} \))(\( 1 - 16 T + 15150 T^{2} - 194672 T^{3} + 148035889 T^{4} \))(\( 1 - 254 T + 38015 T^{2} - 3090418 T^{3} + 148035889 T^{4} \))(\( 1 + 6 T + 7870 T^{2} + 73002 T^{3} + 148035889 T^{4} \))(\( 1 - 320 T + 47934 T^{2} - 3893440 T^{3} + 148035889 T^{4} \))(\( 1 + 184 T + 19470 T^{2} + 2238728 T^{3} + 148035889 T^{4} \))(\( 1 - 180 T + 40221 T^{2} - 4151304 T^{3} + 489368907 T^{4} - 26646460020 T^{5} + 1801152661463 T^{6} \))(\( 1 + 180 T + 40221 T^{2} + 4151304 T^{3} + 489368907 T^{4} + 26646460020 T^{5} + 1801152661463 T^{6} \))(\( 1 + 156 T + 28082 T^{2} + 3613896 T^{3} + 479553835 T^{4} + 43970272632 T^{5} + 4157143834898 T^{6} + 280979815188228 T^{7} + 21914624432020321 T^{8} \))(\( 1 + 102 T + 38528 T^{2} + 3477336 T^{3} + 641077657 T^{4} + 42308747112 T^{5} + 5703526731392 T^{6} + 183717571469226 T^{7} + 21914624432020321 T^{8} \))(\( 1 - 102 T + 38528 T^{2} - 3477336 T^{3} + 641077657 T^{4} - 42308747112 T^{5} + 5703526731392 T^{6} - 183717571469226 T^{7} + 21914624432020321 T^{8} \))(\( 1 - 156 T + 28082 T^{2} - 3613896 T^{3} + 479553835 T^{4} - 43970272632 T^{5} + 4157143834898 T^{6} - 280979815188228 T^{7} + 21914624432020321 T^{8} \))(\( 1 - 116 T + 41159 T^{2} - 2945168 T^{3} + 716339614 T^{4} - 37811551864 T^{5} + 8715704083538 T^{6} - 435990563134352 T^{7} + 74133642393155617 T^{8} - 2542096434114357236 T^{9} + \)\(26\!\cdots\!07\)\( T^{10} \))(\( 1 + 116 T + 41159 T^{2} + 2945168 T^{3} + 716339614 T^{4} + 37811551864 T^{5} + 8715704083538 T^{6} + 435990563134352 T^{7} + 74133642393155617 T^{8} + 2542096434114357236 T^{9} + \)\(26\!\cdots\!07\)\( T^{10} \))(\( 1 - 11790 T^{2} + 148035889 T^{4} \))(\( 1 - 22570 T^{2} + 148035889 T^{4} \))(\( ( 1 - 12167 T^{2} )^{2} \))(\( 1 - 18709 T^{2} + 148035889 T^{4} \))(\( 1 - 23709 T^{2} + 148035889 T^{4} \))(\( 1 - 24190 T^{2} + 148035889 T^{4} \))(\( 1 - 15704 T^{2} + 357132654 T^{4} - 2324755600856 T^{6} + 21914624432020321 T^{8} \))(\( 1 - 1868 T^{2} - 142455866 T^{4} - 276531040652 T^{6} + 21914624432020321 T^{8} \))(\( 1 - 5084 T^{2} - 148699226 T^{4} - 752614459676 T^{6} + 21914624432020321 T^{8} \))(\( 1 - 1308 T^{2} + 290453798 T^{4} - 193630942812 T^{6} + 21914624432020321 T^{8} \))(\( 1 + 6532 T^{2} + 101938534 T^{4} + 966970426948 T^{6} + 21914624432020321 T^{8} \))(\( 1 - 30044 T^{2} + 519364774 T^{4} - 4447590249116 T^{6} + 21914624432020321 T^{8} \))(\( 1 - 11514 T^{2} + 171279659 T^{4} - 1704485225946 T^{6} + 21914624432020321 T^{8} \))(\( 1 - 66652 T^{2} + 2057185554 T^{4} - 40083083332832 T^{6} + 562578923508162875 T^{8} - \)\(59\!\cdots\!48\)\( T^{10} + \)\(45\!\cdots\!34\)\( T^{12} - \)\(21\!\cdots\!88\)\( T^{14} + \)\(48\!\cdots\!41\)\( T^{16} \))(\( 1 - 31828 T^{2} + 620170842 T^{4} - 8468979898736 T^{6} + 101809268764343459 T^{8} - \)\(12\!\cdots\!04\)\( T^{10} + \)\(13\!\cdots\!82\)\( T^{12} - \)\(10\!\cdots\!32\)\( T^{14} + \)\(48\!\cdots\!41\)\( T^{16} \))
$29$ (\( 1 + 58 T + 24389 T^{2} \))(\( 1 + 10 T + 24389 T^{2} \))(\( 1 + 123 T + 24389 T^{2} \))(\( 1 - 167 T + 24389 T^{2} \))(\( 1 + 258 T + 24389 T^{2} \))(\( 1 - 167 T + 24389 T^{2} \))(\( 1 - 102 T + 24389 T^{2} \))(\( 1 + 123 T + 24389 T^{2} \))(\( 1 - 352 T + 78278 T^{2} - 8584928 T^{3} + 594823321 T^{4} \))(\( 1 + 62 T + 19751 T^{2} + 1512118 T^{3} + 594823321 T^{4} \))(\( 1 + 196 T + 20942 T^{2} + 4780244 T^{3} + 594823321 T^{4} \))(\( 1 - 188 T + 34286 T^{2} - 4585132 T^{3} + 594823321 T^{4} \))(\( 1 + 62 T + 19751 T^{2} + 1512118 T^{3} + 594823321 T^{4} \))(\( 1 + 252 T + 56446 T^{2} + 6146028 T^{3} + 594823321 T^{4} \))(\( 1 + 236 T + 61982 T^{2} + 5755804 T^{3} + 594823321 T^{4} \))(\( 1 + 32 T + 19046 T^{2} + 780448 T^{3} + 594823321 T^{4} \))(\( 1 - 170 T + 65051 T^{2} - 6611676 T^{3} + 1586528839 T^{4} - 101119964570 T^{5} + 14507145975869 T^{6} \))(\( 1 - 170 T + 65051 T^{2} - 6611676 T^{3} + 1586528839 T^{4} - 101119964570 T^{5} + 14507145975869 T^{6} \))(\( 1 - 378 T + 143760 T^{2} - 29729988 T^{3} + 5852097929 T^{4} - 725084677332 T^{5} + 85511800626960 T^{6} - 5483701178878482 T^{7} + 353814783205469041 T^{8} \))(\( 1 + 240 T + 86430 T^{2} + 14441664 T^{3} + 3156579983 T^{4} + 352217743296 T^{5} + 51410579634030 T^{6} + 3481715034208560 T^{7} + 353814783205469041 T^{8} \))(\( 1 + 240 T + 86430 T^{2} + 14441664 T^{3} + 3156579983 T^{4} + 352217743296 T^{5} + 51410579634030 T^{6} + 3481715034208560 T^{7} + 353814783205469041 T^{8} \))(\( 1 - 378 T + 143760 T^{2} - 29729988 T^{3} + 5852097929 T^{4} - 725084677332 T^{5} + 85511800626960 T^{6} - 5483701178878482 T^{7} + 353814783205469041 T^{8} \))(\( 1 - 370 T + 160385 T^{2} - 37125560 T^{3} + 8745786530 T^{4} - 1370740158092 T^{5} + 213300987680170 T^{6} - 22083148893184760 T^{7} + 2326728607339749565 T^{8} - \)\(13\!\cdots\!70\)\( T^{9} + \)\(86\!\cdots\!49\)\( T^{10} \))(\( 1 - 370 T + 160385 T^{2} - 37125560 T^{3} + 8745786530 T^{4} - 1370740158092 T^{5} + 213300987680170 T^{6} - 22083148893184760 T^{7} + 2326728607339749565 T^{8} - \)\(13\!\cdots\!70\)\( T^{9} + \)\(86\!\cdots\!49\)\( T^{10} \))(\( ( 1 - 58 T + 24389 T^{2} )^{2} \))(\( ( 1 - 10 T + 24389 T^{2} )^{2} \))(\( ( 1 + 102 T + 24389 T^{2} )^{2} \))(\( ( 1 - 123 T + 24389 T^{2} )^{2} \))(\( ( 1 + 167 T + 24389 T^{2} )^{2} \))(\( ( 1 - 258 T + 24389 T^{2} )^{2} \))(\( ( 1 - 252 T + 56446 T^{2} - 6146028 T^{3} + 594823321 T^{4} )^{2} \))(\( ( 1 - 196 T + 20942 T^{2} - 4780244 T^{3} + 594823321 T^{4} )^{2} \))(\( ( 1 - 32 T + 19046 T^{2} - 780448 T^{3} + 594823321 T^{4} )^{2} \))(\( ( 1 + 352 T + 78278 T^{2} + 8584928 T^{3} + 594823321 T^{4} )^{2} \))(\( ( 1 - 236 T + 61982 T^{2} - 5755804 T^{3} + 594823321 T^{4} )^{2} \))(\( ( 1 + 188 T + 34286 T^{2} + 4585132 T^{3} + 594823321 T^{4} )^{2} \))(\( ( 1 - 62 T + 19751 T^{2} - 1512118 T^{3} + 594823321 T^{4} )^{2} \))(\( ( 1 - 240 T + 86430 T^{2} - 14441664 T^{3} + 3156579983 T^{4} - 352217743296 T^{5} + 51410579634030 T^{6} - 3481715034208560 T^{7} + 353814783205469041 T^{8} )^{2} \))(\( ( 1 + 378 T + 143760 T^{2} + 29729988 T^{3} + 5852097929 T^{4} + 725084677332 T^{5} + 85511800626960 T^{6} + 5483701178878482 T^{7} + 353814783205469041 T^{8} )^{2} \))
$31$ (\( 1 + 224 T + 29791 T^{2} \))(\( 1 + 48 T + 29791 T^{2} \))(\( 1 + 205 T + 29791 T^{2} \))(\( 1 - 10 T + 29791 T^{2} \))(\( 1 - 146 T + 29791 T^{2} \))(\( 1 - 10 T + 29791 T^{2} \))(\( 1 + 160 T + 29791 T^{2} \))(\( 1 + 205 T + 29791 T^{2} \))(\( 1 - 66 T + 45870 T^{2} - 1966206 T^{3} + 887503681 T^{4} \))(\( 1 + 135 T + 63420 T^{2} + 4021785 T^{3} + 887503681 T^{4} \))(\( 1 - 150 T + 36542 T^{2} - 4468650 T^{3} + 887503681 T^{4} \))(\( 1 + 120 T + 60590 T^{2} + 3574920 T^{3} + 887503681 T^{4} \))(\( 1 + 135 T + 63420 T^{2} + 4021785 T^{3} + 887503681 T^{4} \))(\( 1 - 40 T - 13890 T^{2} - 1191640 T^{3} + 887503681 T^{4} \))(\( 1 + 60 T + 8462 T^{2} + 1787460 T^{3} + 887503681 T^{4} \))(\( 1 - 330 T + 85430 T^{2} - 9831030 T^{3} + 887503681 T^{4} \))(\( 1 + 366 T + 102201 T^{2} + 18296380 T^{3} + 3044669991 T^{4} + 324826347246 T^{5} + 26439622160671 T^{6} \))(\( 1 + 366 T + 102201 T^{2} + 18296380 T^{3} + 3044669991 T^{4} + 324826347246 T^{5} + 26439622160671 T^{6} \))(\( 1 + 93 T + 16330 T^{2} - 936891 T^{3} + 385099458 T^{4} - 27910919781 T^{5} + 14492935110730 T^{6} + 2458884860942403 T^{7} + 787662783788549761 T^{8} \))(\( 1 - 351 T + 102010 T^{2} - 21726711 T^{3} + 4440563682 T^{4} - 647260447401 T^{5} + 90534250498810 T^{6} - 9280307378395521 T^{7} + 787662783788549761 T^{8} \))(\( 1 - 351 T + 102010 T^{2} - 21726711 T^{3} + 4440563682 T^{4} - 647260447401 T^{5} + 90534250498810 T^{6} - 9280307378395521 T^{7} + 787662783788549761 T^{8} \))(\( 1 + 93 T + 16330 T^{2} - 936891 T^{3} + 385099458 T^{4} - 27910919781 T^{5} + 14492935110730 T^{6} + 2458884860942403 T^{7} + 787662783788549761 T^{8} \))(\( 1 - 342 T + 142051 T^{2} - 26927448 T^{3} + 6639779138 T^{4} - 944601593732 T^{5} + 197805660300158 T^{6} - 23898209219936088 T^{7} + 3755774767545476221 T^{8} - \)\(26\!\cdots\!62\)\( T^{9} + \)\(23\!\cdots\!51\)\( T^{10} \))(\( 1 - 342 T + 142051 T^{2} - 26927448 T^{3} + 6639779138 T^{4} - 944601593732 T^{5} + 197805660300158 T^{6} - 23898209219936088 T^{7} + 3755774767545476221 T^{8} - \)\(26\!\cdots\!62\)\( T^{9} + \)\(23\!\cdots\!51\)\( T^{10} \))(\( ( 1 + 224 T + 29791 T^{2} )^{2} \))(\( ( 1 + 48 T + 29791 T^{2} )^{2} \))(\( ( 1 + 160 T + 29791 T^{2} )^{2} \))(\( ( 1 + 205 T + 29791 T^{2} )^{2} \))(\( ( 1 - 10 T + 29791 T^{2} )^{2} \))(\( ( 1 - 146 T + 29791 T^{2} )^{2} \))(\( ( 1 - 40 T - 13890 T^{2} - 1191640 T^{3} + 887503681 T^{4} )^{2} \))(\( ( 1 - 150 T + 36542 T^{2} - 4468650 T^{3} + 887503681 T^{4} )^{2} \))(\( ( 1 - 330 T + 85430 T^{2} - 9831030 T^{3} + 887503681 T^{4} )^{2} \))(\( ( 1 - 66 T + 45870 T^{2} - 1966206 T^{3} + 887503681 T^{4} )^{2} \))(\( ( 1 + 60 T + 8462 T^{2} + 1787460 T^{3} + 887503681 T^{4} )^{2} \))(\( ( 1 + 120 T + 60590 T^{2} + 3574920 T^{3} + 887503681 T^{4} )^{2} \))(\( ( 1 + 135 T + 63420 T^{2} + 4021785 T^{3} + 887503681 T^{4} )^{2} \))(\( ( 1 - 351 T + 102010 T^{2} - 21726711 T^{3} + 4440563682 T^{4} - 647260447401 T^{5} + 90534250498810 T^{6} - 9280307378395521 T^{7} + 787662783788549761 T^{8} )^{2} \))(\( ( 1 + 93 T + 16330 T^{2} - 936891 T^{3} + 385099458 T^{4} - 27910919781 T^{5} + 14492935110730 T^{6} + 2458884860942403 T^{7} + 787662783788549761 T^{8} )^{2} \))
$37$ (\( 1 - 146 T + 50653 T^{2} \))(\( 1 - 246 T + 50653 T^{2} \))(\( 1 + 262 T + 50653 T^{2} \))(\( 1 + 133 T + 50653 T^{2} \))(\( 1 + 434 T + 50653 T^{2} \))(\( 1 - 133 T + 50653 T^{2} \))(\( 1 + 398 T + 50653 T^{2} \))(\( 1 - 262 T + 50653 T^{2} \))(\( 1 - 188 T + 44542 T^{2} - 9522764 T^{3} + 2565726409 T^{4} \))(\( 1 + 113 T + 102964 T^{2} + 5723789 T^{3} + 2565726409 T^{4} \))(\( 1 - 96 T + 82550 T^{2} - 4862688 T^{3} + 2565726409 T^{4} \))(\( 1 - 132 T + 70814 T^{2} - 6686196 T^{3} + 2565726409 T^{4} \))(\( 1 - 113 T + 102964 T^{2} - 5723789 T^{3} + 2565726409 T^{4} \))(\( 1 - 248 T + 98214 T^{2} - 12561944 T^{3} + 2565726409 T^{4} \))(\( 1 + 204 T + 108830 T^{2} + 10333212 T^{3} + 2565726409 T^{4} \))(\( 1 - 132 T + 103214 T^{2} - 6686196 T^{3} + 2565726409 T^{4} \))(\( 1 + 252 T + 99399 T^{2} + 17307224 T^{3} + 5034857547 T^{4} + 646563055068 T^{5} + 129961739795077 T^{6} \))(\( 1 - 252 T + 99399 T^{2} - 17307224 T^{3} + 5034857547 T^{4} - 646563055068 T^{5} + 129961739795077 T^{6} \))(\( 1 + 81 T + 107185 T^{2} + 469746 T^{3} + 5937897606 T^{4} + 23794044138 T^{5} + 275007385148665 T^{6} + 10526900923401237 T^{7} + 6582952005840035281 T^{8} \))(\( 1 + 399 T + 123385 T^{2} + 25924734 T^{3} + 6891314910 T^{4} + 1313165551302 T^{5} + 316572152974465 T^{6} + 51854734178235723 T^{7} + 6582952005840035281 T^{8} \))(\( 1 - 399 T + 123385 T^{2} - 25924734 T^{3} + 6891314910 T^{4} - 1313165551302 T^{5} + 316572152974465 T^{6} - 51854734178235723 T^{7} + 6582952005840035281 T^{8} \))(\( 1 - 81 T + 107185 T^{2} - 469746 T^{3} + 5937897606 T^{4} - 23794044138 T^{5} + 275007385148665 T^{6} - 10526900923401237 T^{7} + 6582952005840035281 T^{8} \))(\( 1 - 408 T + 163665 T^{2} - 51926944 T^{3} + 15115947738 T^{4} - 3482080406928 T^{5} + 765668100772914 T^{6} - 133230331559464096 T^{7} + 21270188143561277205 T^{8} - \)\(26\!\cdots\!48\)\( T^{9} + \)\(33\!\cdots\!93\)\( T^{10} \))(\( 1 + 408 T + 163665 T^{2} + 51926944 T^{3} + 15115947738 T^{4} + 3482080406928 T^{5} + 765668100772914 T^{6} + 133230331559464096 T^{7} + 21270188143561277205 T^{8} + \)\(26\!\cdots\!48\)\( T^{9} + \)\(33\!\cdots\!93\)\( T^{10} \))(\( 1 - 79990 T^{2} + 2565726409 T^{4} \))(\( 1 - 40790 T^{2} + 2565726409 T^{4} \))(\( 1 + 57098 T^{2} + 2565726409 T^{4} \))(\( 1 - 32662 T^{2} + 2565726409 T^{4} \))(\( 1 - 83617 T^{2} + 2565726409 T^{4} \))(\( 1 + 87050 T^{2} + 2565726409 T^{4} \))(\( 1 - 134924 T^{2} + 8546718390 T^{4} - 346178070007916 T^{6} + 6582952005840035281 T^{8} \))(\( 1 - 155884 T^{2} + 11012319222 T^{4} - 399955695540556 T^{6} + 6582952005840035281 T^{8} \))(\( 1 - 189004 T^{2} + 14019426870 T^{4} - 484932554206636 T^{6} + 6582952005840035281 T^{8} \))(\( 1 - 53740 T^{2} + 3534883318 T^{4} - 137882137219660 T^{6} + 6582952005840035281 T^{8} \))(\( 1 - 176044 T^{2} + 12759471222 T^{4} - 451680739945996 T^{6} + 6582952005840035281 T^{8} \))(\( 1 - 124204 T^{2} + 8380919670 T^{4} - 318673482903436 T^{6} + 6582952005840035281 T^{8} \))(\( 1 - 193159 T^{2} + 14439461800 T^{4} - 495593147436031 T^{6} + 6582952005840035281 T^{8} \))(\( 1 - 87569 T^{2} + 8318550313 T^{4} - 613716143379878 T^{6} + 29309622284809592422 T^{8} - \)\(15\!\cdots\!02\)\( T^{10} + \)\(54\!\cdots\!53\)\( T^{12} - \)\(14\!\cdots\!01\)\( T^{14} + \)\(43\!\cdots\!61\)\( T^{16} \))(\( 1 - 207809 T^{2} + 23288320585 T^{4} - 1818846583640678 T^{6} + \)\(10\!\cdots\!58\)\( T^{8} - \)\(46\!\cdots\!02\)\( T^{10} + \)\(15\!\cdots\!85\)\( T^{12} - \)\(35\!\cdots\!61\)\( T^{14} + \)\(43\!\cdots\!61\)\( T^{16} \))
$41$ (\( 1 - 18 T + 68921 T^{2} \))(\( 1 + 248 T + 68921 T^{2} \))(\( 1 - 57 T + 68921 T^{2} \))(\( 1 + 168 T + 68921 T^{2} \))(\( 1 + 282 T + 68921 T^{2} \))(\( 1 + 168 T + 68921 T^{2} \))(\( 1 + 318 T + 68921 T^{2} \))(\( 1 - 57 T + 68921 T^{2} \))(\( 1 - 16 T + 18350 T^{2} - 1102736 T^{3} + 4750104241 T^{4} \))(\( 1 - 235 T + 143042 T^{2} - 16196435 T^{3} + 4750104241 T^{4} \))(\( 1 + 176 T - 16914 T^{2} + 12130096 T^{3} + 4750104241 T^{4} \))(\( 1 - 100 T + 89142 T^{2} - 6892100 T^{3} + 4750104241 T^{4} \))(\( 1 - 235 T + 143042 T^{2} - 16196435 T^{3} + 4750104241 T^{4} \))(\( 1 + 450 T + 175642 T^{2} + 31014450 T^{3} + 4750104241 T^{4} \))(\( 1 - 44 T + 106326 T^{2} - 3032524 T^{3} + 4750104241 T^{4} \))(\( 1 - 200 T + 64542 T^{2} - 13784200 T^{3} + 4750104241 T^{4} \))(\( 1 + 206 T + 68783 T^{2} + 10173252 T^{3} + 4740593143 T^{4} + 978521473646 T^{5} + 327381934393961 T^{6} \))(\( 1 + 206 T + 68783 T^{2} + 10173252 T^{3} + 4740593143 T^{4} + 978521473646 T^{5} + 327381934393961 T^{6} \))(\( 1 + 465 T + 105716 T^{2} + 566235 T^{3} - 2050285754 T^{4} + 39025482435 T^{5} + 502162019941556 T^{6} + 152232599493191865 T^{7} + 22563490300366186081 T^{8} \))(\( 1 - 381 T + 273692 T^{2} - 71526783 T^{3} + 28134293782 T^{4} - 4929697411143 T^{5} + 1300065529927772 T^{6} - 124732517004099141 T^{7} + 22563490300366186081 T^{8} \))(\( 1 - 381 T + 273692 T^{2} - 71526783 T^{3} + 28134293782 T^{4} - 4929697411143 T^{5} + 1300065529927772 T^{6} - 124732517004099141 T^{7} + 22563490300366186081 T^{8} \))(\( 1 + 465 T + 105716 T^{2} + 566235 T^{3} - 2050285754 T^{4} + 39025482435 T^{5} + 502162019941556 T^{6} + 152232599493191865 T^{7} + 22563490300366186081 T^{8} \))(\( 1 - 802 T + 392457 T^{2} - 146273472 T^{3} + 44792512462 T^{4} - 12012058617212 T^{5} + 3087144751393502 T^{6} - 694814239692994752 T^{7} + \)\(12\!\cdots\!77\)\( T^{8} - \)\(18\!\cdots\!62\)\( T^{9} + \)\(15\!\cdots\!01\)\( T^{10} \))(\( 1 - 802 T + 392457 T^{2} - 146273472 T^{3} + 44792512462 T^{4} - 12012058617212 T^{5} + 3087144751393502 T^{6} - 694814239692994752 T^{7} + \)\(12\!\cdots\!77\)\( T^{8} - \)\(18\!\cdots\!62\)\( T^{9} + \)\(15\!\cdots\!01\)\( T^{10} \))(\( ( 1 - 18 T + 68921 T^{2} )^{2} \))(\( ( 1 + 248 T + 68921 T^{2} )^{2} \))(\( ( 1 + 318 T + 68921 T^{2} )^{2} \))(\( ( 1 - 57 T + 68921 T^{2} )^{2} \))(\( ( 1 + 168 T + 68921 T^{2} )^{2} \))(\( ( 1 + 282 T + 68921 T^{2} )^{2} \))(\( ( 1 + 450 T + 175642 T^{2} + 31014450 T^{3} + 4750104241 T^{4} )^{2} \))(\( ( 1 + 176 T - 16914 T^{2} + 12130096 T^{3} + 4750104241 T^{4} )^{2} \))(\( ( 1 - 200 T + 64542 T^{2} - 13784200 T^{3} + 4750104241 T^{4} )^{2} \))(\( ( 1 - 16 T + 18350 T^{2} - 1102736 T^{3} + 4750104241 T^{4} )^{2} \))(\( ( 1 - 44 T + 106326 T^{2} - 3032524 T^{3} + 4750104241 T^{4} )^{2} \))(\( ( 1 - 100 T + 89142 T^{2} - 6892100 T^{3} + 4750104241 T^{4} )^{2} \))(\( ( 1 - 235 T + 143042 T^{2} - 16196435 T^{3} + 4750104241 T^{4} )^{2} \))(\( ( 1 - 381 T + 273692 T^{2} - 71526783 T^{3} + 28134293782 T^{4} - 4929697411143 T^{5} + 1300065529927772 T^{6} - 124732517004099141 T^{7} + 22563490300366186081 T^{8} )^{2} \))(\( ( 1 + 465 T + 105716 T^{2} + 566235 T^{3} - 2050285754 T^{4} + 39025482435 T^{5} + 502162019941556 T^{6} + 152232599493191865 T^{7} + 22563490300366186081 T^{8} )^{2} \))
$43$ (\( 1 + 340 T + 79507 T^{2} \))(\( 1 + 68 T + 79507 T^{2} \))(\( 1 - 407 T + 79507 T^{2} \))(\( 1 + 97 T + 79507 T^{2} \))(\( 1 + 20 T + 79507 T^{2} \))(\( 1 - 97 T + 79507 T^{2} \))(\( 1 - 268 T + 79507 T^{2} \))(\( 1 + 407 T + 79507 T^{2} \))(\( 1 - 396 T + 95718 T^{2} - 31484772 T^{3} + 6321363049 T^{4} \))(\( 1 + 804 T + 306321 T^{2} + 63923628 T^{3} + 6321363049 T^{4} \))(\( 1 - 344 T + 171958 T^{2} - 27350408 T^{3} + 6321363049 T^{4} \))(\( 1 - 536 T + 200086 T^{2} - 42615752 T^{3} + 6321363049 T^{4} \))(\( 1 - 804 T + 306321 T^{2} - 63923628 T^{3} + 6321363049 T^{4} \))(\( 1 + 376 T + 161526 T^{2} + 29894632 T^{3} + 6321363049 T^{4} \))(\( 1 + 136 T + 81718 T^{2} + 10812952 T^{3} + 6321363049 T^{4} \))(\( 1 + 364 T + 172486 T^{2} + 28940548 T^{3} + 6321363049 T^{4} \))(\( 1 - 108 T + 76905 T^{2} - 30874696 T^{3} + 6114485835 T^{4} - 682707209292 T^{5} + 502592611936843 T^{6} \))(\( 1 + 108 T + 76905 T^{2} + 30874696 T^{3} + 6114485835 T^{4} + 682707209292 T^{5} + 502592611936843 T^{6} \))(\( 1 - 64 T + 64662 T^{2} + 2492176 T^{3} + 5477627255 T^{4} + 198145437232 T^{5} + 408751977474438 T^{6} - 32165927163957952 T^{7} + 39959630797262576401 T^{8} \))(\( 1 + 460 T + 241338 T^{2} + 78643232 T^{3} + 29430041627 T^{4} + 6252687446624 T^{5} + 1525585115519562 T^{6} + 231192601490947780 T^{7} + 39959630797262576401 T^{8} \))(\( 1 - 460 T + 241338 T^{2} - 78643232 T^{3} + 29430041627 T^{4} - 6252687446624 T^{5} + 1525585115519562 T^{6} - 231192601490947780 T^{7} + 39959630797262576401 T^{8} \))(\( 1 + 64 T + 64662 T^{2} - 2492176 T^{3} + 5477627255 T^{4} - 198145437232 T^{5} + 408751977474438 T^{6} + 32165927163957952 T^{7} + 39959630797262576401 T^{8} \))(\( 1 - 584 T + 413407 T^{2} - 149329184 T^{3} + 61499850522 T^{4} - 16229990754224 T^{5} + 4889668615452654 T^{6} - 943963985874922016 T^{7} + \)\(20\!\cdots\!01\)\( T^{8} - \)\(23\!\cdots\!84\)\( T^{9} + \)\(31\!\cdots\!07\)\( T^{10} \))(\( 1 + 584 T + 413407 T^{2} + 149329184 T^{3} + 61499850522 T^{4} + 16229990754224 T^{5} + 4889668615452654 T^{6} + 943963985874922016 T^{7} + \)\(20\!\cdots\!01\)\( T^{8} + \)\(23\!\cdots\!84\)\( T^{9} + \)\(31\!\cdots\!07\)\( T^{10} \))(\( 1 - 43414 T^{2} + 6321363049 T^{4} \))(\( 1 - 154390 T^{2} + 6321363049 T^{4} \))(\( 1 - 87190 T^{2} + 6321363049 T^{4} \))(\( 1 + 6635 T^{2} + 6321363049 T^{4} \))(\( 1 - 149605 T^{2} + 6321363049 T^{4} \))(\( 1 - 158614 T^{2} + 6321363049 T^{4} \))(\( 1 - 181676 T^{2} + 16252611510 T^{4} - 1148439953290124 T^{6} + 39959630797262576401 T^{8} \))(\( 1 - 225580 T^{2} + 23395199158 T^{4} - 1425973076593420 T^{6} + 39959630797262576401 T^{8} \))(\( 1 - 212476 T^{2} + 21325427350 T^{4} - 1343137935199324 T^{6} + 39959630797262576401 T^{8} \))(\( 1 - 34620 T^{2} - 3131277802 T^{4} - 218845588756380 T^{6} + 39959630797262576401 T^{8} \))(\( 1 - 144940 T^{2} + 16379434678 T^{4} - 916218360322060 T^{6} + 39959630797262576401 T^{8} \))(\( 1 - 112876 T^{2} + 6993047350 T^{4} - 713530175518924 T^{6} + 39959630797262576401 T^{8} \))(\( 1 + 33774 T^{2} + 3686087315 T^{4} + 213497715616926 T^{6} + 39959630797262576401 T^{8} \))(\( 1 - 271076 T^{2} + 44752340058 T^{4} - 5319114613093072 T^{6} + \)\(48\!\cdots\!07\)\( T^{8} - \)\(33\!\cdots\!28\)\( T^{10} + \)\(17\!\cdots\!58\)\( T^{12} - \)\(68\!\cdots\!24\)\( T^{14} + \)\(15\!\cdots\!01\)\( T^{16} \))(\( 1 - 125228 T^{2} + 15455427282 T^{4} - 1545044296825216 T^{6} + \)\(15\!\cdots\!19\)\( T^{8} - \)\(97\!\cdots\!84\)\( T^{10} + \)\(61\!\cdots\!82\)\( T^{12} - \)\(31\!\cdots\!72\)\( T^{14} + \)\(15\!\cdots\!01\)\( T^{16} \))
$47$ (\( 1 + 208 T + 103823 T^{2} \))(\( 1 + 324 T + 103823 T^{2} \))(\( 1 + 60 T + 103823 T^{2} \))(\( 1 + 400 T + 103823 T^{2} \))(\( 1 - 72 T + 103823 T^{2} \))(\( 1 - 400 T + 103823 T^{2} \))(\( 1 + 240 T + 103823 T^{2} \))(\( 1 - 60 T + 103823 T^{2} \))(\( 1 - 188 T + 15582 T^{2} - 19518724 T^{3} + 10779215329 T^{4} \))(\( 1 + 152 T + 180510 T^{2} + 15781096 T^{3} + 10779215329 T^{4} \))(\( 1 + 560 T + 248606 T^{2} + 58140880 T^{3} + 10779215329 T^{4} \))(\( 1 - 928 T + 408830 T^{2} - 96347744 T^{3} + 10779215329 T^{4} \))(\( 1 - 152 T + 180510 T^{2} - 15781096 T^{3} + 10779215329 T^{4} \))(\( 1 - 12 T + 141790 T^{2} - 1245876 T^{3} + 10779215329 T^{4} \))(\( 1 + 400 T + 106526 T^{2} + 41529200 T^{3} + 10779215329 T^{4} \))(\( 1 + 292 T + 179390 T^{2} + 30316316 T^{3} + 10779215329 T^{4} \))(\( 1 - 24 T + 84141 T^{2} - 25877328 T^{3} + 8735771043 T^{4} - 258701167896 T^{5} + 1119130473102767 T^{6} \))(\( 1 + 24 T + 84141 T^{2} + 25877328 T^{3} + 8735771043 T^{4} + 258701167896 T^{5} + 1119130473102767 T^{6} \))(\( 1 + 744 T + 588276 T^{2} + 247094976 T^{3} + 101020317878 T^{4} + 25654141693248 T^{5} + 6341153676882804 T^{6} + 832633071988458648 T^{7} + \)\(11\!\cdots\!41\)\( T^{8} \))(\( 1 + 60 T + 130548 T^{2} + 11848116 T^{3} + 16872903254 T^{4} + 1230106947468 T^{5} + 1407205002770292 T^{6} + 67147828386166020 T^{7} + \)\(11\!\cdots\!41\)\( T^{8} \))(\( 1 - 60 T + 130548 T^{2} - 11848116 T^{3} + 16872903254 T^{4} - 1230106947468 T^{5} + 1407205002770292 T^{6} - 67147828386166020 T^{7} + \)\(11\!\cdots\!41\)\( T^{8} \))(\( 1 - 744 T + 588276 T^{2} - 247094976 T^{3} + 101020317878 T^{4} - 25654141693248 T^{5} + 6341153676882804 T^{6} - 832633071988458648 T^{7} + \)\(11\!\cdots\!41\)\( T^{8} \))(\( 1 + 716 T + 507419 T^{2} + 209415632 T^{3} + 90503203546 T^{4} + 27982753228744 T^{5} + 9396314101756358 T^{6} + 2257336190586622928 T^{7} + \)\(56\!\cdots\!73\)\( T^{8} + \)\(83\!\cdots\!56\)\( T^{9} + \)\(12\!\cdots\!43\)\( T^{10} \))(\( 1 - 716 T + 507419 T^{2} - 209415632 T^{3} + 90503203546 T^{4} - 27982753228744 T^{5} + 9396314101756358 T^{6} - 2257336190586622928 T^{7} + \)\(56\!\cdots\!73\)\( T^{8} - \)\(83\!\cdots\!56\)\( T^{9} + \)\(12\!\cdots\!43\)\( T^{10} \))(\( 1 - 164382 T^{2} + 10779215329 T^{4} \))(\( 1 - 102670 T^{2} + 10779215329 T^{4} \))(\( 1 - 150046 T^{2} + 10779215329 T^{4} \))(\( 1 - 204046 T^{2} + 10779215329 T^{4} \))(\( 1 - 47646 T^{2} + 10779215329 T^{4} \))(\( 1 - 202462 T^{2} + 10779215329 T^{4} \))(\( 1 - 283436 T^{2} + 41632933734 T^{4} - 3055217675990444 T^{6} + \)\(11\!\cdots\!41\)\( T^{8} \))(\( 1 - 183612 T^{2} + 18245588294 T^{4} - 1979193284988348 T^{6} + \)\(11\!\cdots\!41\)\( T^{8} \))(\( 1 - 273516 T^{2} + 36034474214 T^{4} - 2948287859926764 T^{6} + \)\(11\!\cdots\!41\)\( T^{8} \))(\( 1 + 4180 T^{2} + 14462189158 T^{4} + 45057120075220 T^{6} + \)\(11\!\cdots\!41\)\( T^{8} \))(\( 1 - 53052 T^{2} - 317140666 T^{4} - 571858931634108 T^{6} + \)\(11\!\cdots\!41\)\( T^{8} \))(\( 1 + 43524 T^{2} + 9878986694 T^{4} + 469154567979396 T^{6} + \)\(11\!\cdots\!41\)\( T^{8} \))(\( 1 - 337916 T^{2} + 49344837574 T^{4} - 3642469327114364 T^{6} + \)\(11\!\cdots\!41\)\( T^{8} \))(\( 1 - 257496 T^{2} + 49366812892 T^{4} - 6931866867101352 T^{6} + \)\(84\!\cdots\!54\)\( T^{8} - \)\(74\!\cdots\!08\)\( T^{10} + \)\(57\!\cdots\!72\)\( T^{12} - \)\(32\!\cdots\!44\)\( T^{14} + \)\(13\!\cdots\!81\)\( T^{16} \))(\( 1 - 623016 T^{2} + 180431963644 T^{4} - 32308674389768664 T^{6} + \)\(39\!\cdots\!54\)\( T^{8} - \)\(34\!\cdots\!56\)\( T^{10} + \)\(20\!\cdots\!04\)\( T^{12} - \)\(78\!\cdots\!24\)\( T^{14} + \)\(13\!\cdots\!81\)\( T^{16} \))
$53$ (\( 1 - 754 T + 148877 T^{2} \))(\( 1 + 258 T + 148877 T^{2} \))(\( 1 - 327 T + 148877 T^{2} \))(\( 1 + 182 T + 148877 T^{2} \))(\( 1 + 336 T + 148877 T^{2} \))(\( 1 - 182 T + 148877 T^{2} \))(\( 1 - 498 T + 148877 T^{2} \))(\( 1 + 327 T + 148877 T^{2} \))(\( 1 + 982 T + 504354 T^{2} + 146197214 T^{3} + 22164361129 T^{4} \))(\( 1 + 149 T + 269640 T^{2} + 22182673 T^{3} + 22164361129 T^{4} \))(\( 1 + 326 T + 204138 T^{2} + 48533902 T^{3} + 22164361129 T^{4} \))(\( 1 + 884 T + 460350 T^{2} + 131607268 T^{3} + 22164361129 T^{4} \))(\( 1 - 149 T + 269640 T^{2} - 22182673 T^{3} + 22164361129 T^{4} \))(\( 1 - 1104 T + 602230 T^{2} - 164360208 T^{3} + 22164361129 T^{4} \))(\( 1 + 16 T + 260838 T^{2} + 2382032 T^{3} + 22164361129 T^{4} \))(\( 1 + 34 T + 103410 T^{2} + 5061818 T^{3} + 22164361129 T^{4} \))(\( 1 + 354 T + 295827 T^{2} + 51866076 T^{3} + 44041836279 T^{4} + 7846183839666 T^{5} + 3299763591802133 T^{6} \))(\( 1 - 354 T + 295827 T^{2} - 51866076 T^{3} + 44041836279 T^{4} - 7846183839666 T^{5} + 3299763591802133 T^{6} \))(\( 1 + 729 T + 333446 T^{2} + 137056347 T^{3} + 63585804370 T^{4} + 20404537772319 T^{5} + 7390617561020534 T^{6} + 2405527658423754957 T^{7} + \)\(49\!\cdots\!41\)\( T^{8} \))(\( 1 + 873 T + 701906 T^{2} + 368908875 T^{3} + 161980949146 T^{4} + 54922046583375 T^{5} + 15557298062611874 T^{6} + 2880693615643262109 T^{7} + \)\(49\!\cdots\!41\)\( T^{8} \))(\( 1 - 873 T + 701906 T^{2} - 368908875 T^{3} + 161980949146 T^{4} - 54922046583375 T^{5} + 15557298062611874 T^{6} - 2880693615643262109 T^{7} + \)\(49\!\cdots\!41\)\( T^{8} \))(\( 1 - 729 T + 333446 T^{2} - 137056347 T^{3} + 63585804370 T^{4} - 20404537772319 T^{5} + 7390617561020534 T^{6} - 2405527658423754957 T^{7} + \)\(49\!\cdots\!41\)\( T^{8} \))(\( 1 + 98 T + 503305 T^{2} + 71121272 T^{3} + 122661090658 T^{4} + 16369960190572 T^{5} + 18261415193891066 T^{6} + 1576357556561836088 T^{7} + \)\(16\!\cdots\!65\)\( T^{8} + \)\(48\!\cdots\!18\)\( T^{9} + \)\(73\!\cdots\!57\)\( T^{10} \))(\( 1 - 98 T + 503305 T^{2} - 71121272 T^{3} + 122661090658 T^{4} - 16369960190572 T^{5} + 18261415193891066 T^{6} - 1576357556561836088 T^{7} + \)\(16\!\cdots\!65\)\( T^{8} - \)\(48\!\cdots\!18\)\( T^{9} + \)\(73\!\cdots\!57\)\( T^{10} \))(\( 1 + 270762 T^{2} + 22164361129 T^{4} \))(\( 1 - 231190 T^{2} + 22164361129 T^{4} \))(\( 1 - 49750 T^{2} + 22164361129 T^{4} \))(\( 1 - 190825 T^{2} + 22164361129 T^{4} \))(\( 1 - 264630 T^{2} + 22164361129 T^{4} \))(\( 1 - 184858 T^{2} + 22164361129 T^{4} \))(\( 1 + 14356 T^{2} + 44102355894 T^{4} + 318191568367924 T^{6} + \)\(49\!\cdots\!41\)\( T^{8} \))(\( 1 - 302000 T^{2} + 54356941198 T^{4} - 6693637060958000 T^{6} + \)\(49\!\cdots\!41\)\( T^{8} \))(\( 1 - 205664 T^{2} + 54678146734 T^{4} - 4558411167234656 T^{6} + \)\(49\!\cdots\!41\)\( T^{8} \))(\( 1 - 44384 T^{2} + 11570351278 T^{4} - 983743004349536 T^{6} + \)\(49\!\cdots\!41\)\( T^{8} \))(\( 1 - 521420 T^{2} + 112288959478 T^{4} - 11556941179883180 T^{6} + \)\(49\!\cdots\!41\)\( T^{8} \))(\( 1 - 139244 T^{2} + 23569194934 T^{4} - 3086254301046476 T^{6} + \)\(49\!\cdots\!41\)\( T^{8} \))(\( 1 - 517079 T^{2} + 110424015304 T^{4} - 11460725688222191 T^{6} + \)\(49\!\cdots\!41\)\( T^{8} \))(\( 1 - 641683 T^{2} + 172519035378 T^{4} - 26517744919429925 T^{6} + \)\(35\!\cdots\!22\)\( T^{8} - \)\(58\!\cdots\!25\)\( T^{10} + \)\(84\!\cdots\!98\)\( T^{12} - \)\(69\!\cdots\!87\)\( T^{14} + \)\(24\!\cdots\!81\)\( T^{16} \))(\( 1 - 135451 T^{2} + 38529689730 T^{4} - 8651841044933597 T^{6} + \)\(85\!\cdots\!18\)\( T^{8} - \)\(19\!\cdots\!13\)\( T^{10} + \)\(18\!\cdots\!30\)\( T^{12} - \)\(14\!\cdots\!39\)\( T^{14} + \)\(24\!\cdots\!81\)\( T^{16} \))
$59$ (\( 1 - 380 T + 205379 T^{2} \))(\( 1 - 120 T + 205379 T^{2} \))(\( 1 - 33 T + 205379 T^{2} \))(\( 1 - 488 T + 205379 T^{2} \))(\( 1 + 360 T + 205379 T^{2} \))(\( 1 - 488 T + 205379 T^{2} \))(\( 1 + 132 T + 205379 T^{2} \))(\( 1 - 33 T + 205379 T^{2} \))(\( 1 - 516 T + 418118 T^{2} - 105975564 T^{3} + 42180533641 T^{4} \))(\( 1 + 441 T + 273734 T^{2} + 90572139 T^{3} + 42180533641 T^{4} \))(\( 1 + 844 T + 474182 T^{2} + 173339876 T^{3} + 42180533641 T^{4} \))(\( 1 - 104 T + 80534 T^{2} - 21359416 T^{3} + 42180533641 T^{4} \))(\( 1 + 441 T + 273734 T^{2} + 90572139 T^{3} + 42180533641 T^{4} \))(\( 1 - 804 T + 380614 T^{2} - 165124716 T^{3} + 42180533641 T^{4} \))(\( 1 + 464 T + 458102 T^{2} + 95295856 T^{3} + 42180533641 T^{4} \))(\( 1 - 364 T + 438374 T^{2} - 74757956 T^{3} + 42180533641 T^{4} \))(\( 1 + 880 T + 706697 T^{2} + 338588064 T^{3} + 145140723163 T^{4} + 37118869604080 T^{5} + 8662995818654939 T^{6} \))(\( 1 + 880 T + 706697 T^{2} + 338588064 T^{3} + 145140723163 T^{4} + 37118869604080 T^{5} + 8662995818654939 T^{6} \))(\( 1 - 231 T + 701280 T^{2} - 148812447 T^{3} + 204019205798 T^{4} - 30562951552413 T^{5} + 29580364631760480 T^{6} - 2001152034109290909 T^{7} + \)\(17\!\cdots\!81\)\( T^{8} \))(\( 1 + 855 T + 767616 T^{2} + 344685519 T^{3} + 195821792246 T^{4} + 70791167206701 T^{5} + 32378452511369856 T^{6} + 7406861424949972845 T^{7} + \)\(17\!\cdots\!81\)\( T^{8} \))(\( 1 + 855 T + 767616 T^{2} + 344685519 T^{3} + 195821792246 T^{4} + 70791167206701 T^{5} + 32378452511369856 T^{6} + 7406861424949972845 T^{7} + \)\(17\!\cdots\!81\)\( T^{8} \))(\( 1 - 231 T + 701280 T^{2} - 148812447 T^{3} + 204019205798 T^{4} - 30562951552413 T^{5} + 29580364631760480 T^{6} - 2001152034109290909 T^{7} + \)\(17\!\cdots\!81\)\( T^{8} \))(\( 1 - 704 T + 427487 T^{2} - 197865856 T^{3} + 99740405354 T^{4} - 55609053370240 T^{5} + 20484584711199166 T^{6} - 8346087395413261696 T^{7} + \)\(37\!\cdots\!93\)\( T^{8} - \)\(12\!\cdots\!24\)\( T^{9} + \)\(36\!\cdots\!99\)\( T^{10} \))(\( 1 - 704 T + 427487 T^{2} - 197865856 T^{3} + 99740405354 T^{4} - 55609053370240 T^{5} + 20484584711199166 T^{6} - 8346087395413261696 T^{7} + \)\(37\!\cdots\!93\)\( T^{8} - \)\(12\!\cdots\!24\)\( T^{9} + \)\(36\!\cdots\!99\)\( T^{10} \))(\( ( 1 + 380 T + 205379 T^{2} )^{2} \))(\( ( 1 + 120 T + 205379 T^{2} )^{2} \))(\( ( 1 - 132 T + 205379 T^{2} )^{2} \))(\( ( 1 + 33 T + 205379 T^{2} )^{2} \))(\( ( 1 + 488 T + 205379 T^{2} )^{2} \))(\( ( 1 - 360 T + 205379 T^{2} )^{2} \))(\( ( 1 + 804 T + 380614 T^{2} + 165124716 T^{3} + 42180533641 T^{4} )^{2} \))(\( ( 1 - 844 T + 474182 T^{2} - 173339876 T^{3} + 42180533641 T^{4} )^{2} \))(\( ( 1 + 364 T + 438374 T^{2} + 74757956 T^{3} + 42180533641 T^{4} )^{2} \))(\( ( 1 + 516 T + 418118 T^{2} + 105975564 T^{3} + 42180533641 T^{4} )^{2} \))(\( ( 1 - 464 T + 458102 T^{2} - 95295856 T^{3} + 42180533641 T^{4} )^{2} \))(\( ( 1 + 104 T + 80534 T^{2} + 21359416 T^{3} + 42180533641 T^{4} )^{2} \))(\( ( 1 - 441 T + 273734 T^{2} - 90572139 T^{3} + 42180533641 T^{4} )^{2} \))(\( ( 1 - 855 T + 767616 T^{2} - 344685519 T^{3} + 195821792246 T^{4} - 70791167206701 T^{5} + 32378452511369856 T^{6} - 7406861424949972845 T^{7} + \)\(17\!\cdots\!81\)\( T^{8} )^{2} \))(\( ( 1 + 231 T + 701280 T^{2} + 148812447 T^{3} + 204019205798 T^{4} + 30562951552413 T^{5} + 29580364631760480 T^{6} + 2001152034109290909 T^{7} + \)\(17\!\cdots\!81\)\( T^{8} )^{2} \))
$61$ (\( 1 - 718 T + 226981 T^{2} \))(\( 1 - 622 T + 226981 T^{2} \))(\( 1 + 427 T + 226981 T^{2} \))(\( 1 - 28 T + 226981 T^{2} \))(\( 1 + 682 T + 226981 T^{2} \))(\( 1 - 28 T + 226981 T^{2} \))(\( 1 - 398 T + 226981 T^{2} \))(\( 1 + 427 T + 226981 T^{2} \))(\( 1 + 880 T + 575238 T^{2} + 199743280 T^{3} + 51520374361 T^{4} \))(\( 1 + 223 T + 149646 T^{2} + 50616763 T^{3} + 51520374361 T^{4} \))(\( 1 + 204 T + 455006 T^{2} + 46304124 T^{3} + 51520374361 T^{4} \))(\( 1 + 468 T + 494606 T^{2} + 106227108 T^{3} + 51520374361 T^{4} \))(\( 1 + 223 T + 149646 T^{2} + 50616763 T^{3} + 51520374361 T^{4} \))(\( 1 + 428 T + 425886 T^{2} + 97147868 T^{3} + 51520374361 T^{4} \))(\( 1 + 684 T + 535646 T^{2} + 155255004 T^{3} + 51520374361 T^{4} \))(\( 1 - 792 T + 340886 T^{2} - 179768952 T^{3} + 51520374361 T^{4} \))(\( 1 + 870 T + 582363 T^{2} + 282478148 T^{3} + 132185336103 T^{4} + 44822725694070 T^{5} + 11694146092834141 T^{6} \))(\( 1 + 870 T + 582363 T^{2} + 282478148 T^{3} + 132185336103 T^{4} + 44822725694070 T^{5} + 11694146092834141 T^{6} \))(\( 1 + 1353 T + 1374808 T^{2} + 931878711 T^{3} + 511309944510 T^{4} + 211518761701491 T^{5} + 70830622834497688 T^{6} + 15822179663604592773 T^{7} + \)\(26\!\cdots\!21\)\( T^{8} \))(\( 1 - 687 T + 715504 T^{2} - 385624593 T^{3} + 235308406830 T^{4} - 87529455743733 T^{5} + 36863033936792944 T^{6} - 8033878365777054867 T^{7} + \)\(26\!\cdots\!21\)\( T^{8} \))(\( 1 - 687 T + 715504 T^{2} - 385624593 T^{3} + 235308406830 T^{4} - 87529455743733 T^{5} + 36863033936792944 T^{6} - 8033878365777054867 T^{7} + \)\(26\!\cdots\!21\)\( T^{8} \))(\( 1 + 1353 T + 1374808 T^{2} + 931878711 T^{3} + 511309944510 T^{4} + 211518761701491 T^{5} + 70830622834497688 T^{6} + 15822179663604592773 T^{7} + \)\(26\!\cdots\!21\)\( T^{8} \))(\( 1 - 650 T + 689345 T^{2} - 375251480 T^{3} + 259020342850 T^{4} - 102268282520348 T^{5} + 58792696440435850 T^{6} - 19333096729119304280 T^{7} + \)\(80\!\cdots\!45\)\( T^{8} - \)\(17\!\cdots\!50\)\( T^{9} + \)\(60\!\cdots\!01\)\( T^{10} \))(\( 1 - 650 T + 689345 T^{2} - 375251480 T^{3} + 259020342850 T^{4} - 102268282520348 T^{5} + 58792696440435850 T^{6} - 19333096729119304280 T^{7} + \)\(80\!\cdots\!45\)\( T^{8} - \)\(17\!\cdots\!50\)\( T^{9} + \)\(60\!\cdots\!01\)\( T^{10} \))(\( ( 1 - 718 T + 226981 T^{2} )^{2} \))(\( ( 1 - 622 T + 226981 T^{2} )^{2} \))(\( ( 1 - 398 T + 226981 T^{2} )^{2} \))(\( ( 1 + 427 T + 226981 T^{2} )^{2} \))(\( ( 1 - 28 T + 226981 T^{2} )^{2} \))(\( ( 1 + 682 T + 226981 T^{2} )^{2} \))(\( ( 1 + 428 T + 425886 T^{2} + 97147868 T^{3} + 51520374361 T^{4} )^{2} \))(\( ( 1 + 204 T + 455006 T^{2} + 46304124 T^{3} + 51520374361 T^{4} )^{2} \))(\( ( 1 - 792 T + 340886 T^{2} - 179768952 T^{3} + 51520374361 T^{4} )^{2} \))(\( ( 1 + 880 T + 575238 T^{2} + 199743280 T^{3} + 51520374361 T^{4} )^{2} \))(\( ( 1 + 684 T + 535646 T^{2} + 155255004 T^{3} + 51520374361 T^{4} )^{2} \))(\( ( 1 + 468 T + 494606 T^{2} + 106227108 T^{3} + 51520374361 T^{4} )^{2} \))(\( ( 1 + 223 T + 149646 T^{2} + 50616763 T^{3} + 51520374361 T^{4} )^{2} \))(\( ( 1 - 687 T + 715504 T^{2} - 385624593 T^{3} + 235308406830 T^{4} - 87529455743733 T^{5} + 36863033936792944 T^{6} - 8033878365777054867 T^{7} + \)\(26\!\cdots\!21\)\( T^{8} )^{2} \))(\( ( 1 + 1353 T + 1374808 T^{2} + 931878711 T^{3} + 511309944510 T^{4} + 211518761701491 T^{5} + 70830622834497688 T^{6} + 15822179663604592773 T^{7} + \)\(26\!\cdots\!21\)\( T^{8} )^{2} \))
$67$ (\( 1 + 412 T + 300763 T^{2} \))(\( 1 + 904 T + 300763 T^{2} \))(\( 1 + 628 T + 300763 T^{2} \))(\( 1 + 967 T + 300763 T^{2} \))(\( 1 + 812 T + 300763 T^{2} \))(\( 1 - 967 T + 300763 T^{2} \))(\( 1 + 92 T + 300763 T^{2} \))(\( 1 - 628 T + 300763 T^{2} \))(\( 1 - 356 T + 100374 T^{2} - 107071628 T^{3} + 90458382169 T^{4} \))(\( 1 + 1157 T + 871890 T^{2} + 347982791 T^{3} + 90458382169 T^{4} \))(\( 1 - 104 T + 537670 T^{2} - 31279352 T^{3} + 90458382169 T^{4} \))(\( 1 - 1688 T + 1302310 T^{2} - 507687944 T^{3} + 90458382169 T^{4} \))(\( 1 - 1157 T + 871890 T^{2} - 347982791 T^{3} + 90458382169 T^{4} \))(\( 1 + 148 T + 440790 T^{2} + 44512924 T^{3} + 90458382169 T^{4} \))(\( 1 + 736 T + 602470 T^{2} + 221361568 T^{3} + 90458382169 T^{4} \))(\( 1 - 788 T + 753430 T^{2} - 237001244 T^{3} + 90458382169 T^{4} \))(\( 1 - 96 T + 555537 T^{2} - 22556608 T^{3} + 167084974731 T^{4} - 8684004688224 T^{5} + 27206534396294947 T^{6} \))(\( 1 + 96 T + 555537 T^{2} + 22556608 T^{3} + 167084974731 T^{4} + 8684004688224 T^{5} + 27206534396294947 T^{6} \))(\( 1 + 1487 T + 1603371 T^{2} + 1080212116 T^{3} + 674138302124 T^{4} + 324887836644508 T^{5} + 145038346676691699 T^{6} + 40456116647290586189 T^{7} + \)\(81\!\cdots\!61\)\( T^{8} \))(\( 1 - 503 T + 452451 T^{2} - 193160692 T^{3} + 211333484900 T^{4} - 58095589207996 T^{5} + 40927985470746219 T^{6} - 13684886801336358341 T^{7} + \)\(81\!\cdots\!61\)\( T^{8} \))(\( 1 + 503 T + 452451 T^{2} + 193160692 T^{3} + 211333484900 T^{4} + 58095589207996 T^{5} + 40927985470746219 T^{6} + 13684886801336358341 T^{7} + \)\(81\!\cdots\!61\)\( T^{8} \))(\( 1 - 1487 T + 1603371 T^{2} - 1080212116 T^{3} + 674138302124 T^{4} - 324887836644508 T^{5} + 145038346676691699 T^{6} - 40456116647290586189 T^{7} + \)\(81\!\cdots\!61\)\( T^{8} \))(\( 1 + 180 T + 1024695 T^{2} - 16666000 T^{3} + 437663187690 T^{4} - 44169474067848 T^{5} + 131632893319207470 T^{6} - 1507579397228554000 T^{7} + \)\(27\!\cdots\!65\)\( T^{8} + \)\(14\!\cdots\!80\)\( T^{9} + \)\(24\!\cdots\!43\)\( T^{10} \))(\( 1 - 180 T + 1024695 T^{2} + 16666000 T^{3} + 437663187690 T^{4} + 44169474067848 T^{5} + 131632893319207470 T^{6} + 1507579397228554000 T^{7} + \)\(27\!\cdots\!65\)\( T^{8} - \)\(14\!\cdots\!80\)\( T^{9} + \)\(24\!\cdots\!43\)\( T^{10} \))(\( 1 - 431782 T^{2} + 90458382169 T^{4} \))(\( 1 + 215690 T^{2} + 90458382169 T^{4} \))(\( 1 - 593062 T^{2} + 90458382169 T^{4} \))(\( 1 - 207142 T^{2} + 90458382169 T^{4} \))(\( 1 + 333563 T^{2} + 90458382169 T^{4} \))(\( 1 + 57818 T^{2} + 90458382169 T^{4} \))(\( 1 - 859676 T^{2} + 362036762934 T^{4} - 77764900149517244 T^{6} + \)\(81\!\cdots\!61\)\( T^{8} \))(\( 1 - 1064524 T^{2} + 463499688022 T^{4} - 96295118820072556 T^{6} + \)\(81\!\cdots\!61\)\( T^{8} \))(\( 1 - 885916 T^{2} + 375059568694 T^{4} - 80138528097631804 T^{6} + \)\(81\!\cdots\!61\)\( T^{8} \))(\( 1 - 74012 T^{2} + 114756705078 T^{4} - 6695005781092028 T^{6} + \)\(81\!\cdots\!61\)\( T^{8} \))(\( 1 - 663244 T^{2} + 218042637142 T^{4} - 59995979223296236 T^{6} + \)\(81\!\cdots\!61\)\( T^{8} \))(\( 1 + 244724 T^{2} + 162973601494 T^{4} + 22137337117926356 T^{6} + \)\(81\!\cdots\!61\)\( T^{8} \))(\( 1 - 405131 T^{2} + 135876758064 T^{4} - 36647494826509139 T^{6} + \)\(81\!\cdots\!61\)\( T^{8} \))(\( 1 - 651893 T^{2} + 433059221049 T^{4} - 177336848417309398 T^{6} + \)\(61\!\cdots\!50\)\( T^{8} - \)\(16\!\cdots\!62\)\( T^{10} + \)\(35\!\cdots\!89\)\( T^{12} - \)\(48\!\cdots\!37\)\( T^{14} + \)\(66\!\cdots\!21\)\( T^{16} \))(\( 1 - 995573 T^{2} + 706524334905 T^{4} - 318789658849139158 T^{6} + \)\(11\!\cdots\!14\)\( T^{8} - \)\(28\!\cdots\!02\)\( T^{10} + \)\(57\!\cdots\!05\)\( T^{12} - \)\(73\!\cdots\!57\)\( T^{14} + \)\(66\!\cdots\!21\)\( T^{16} \))
$71$ (\( 1 + 960 T + 357911 T^{2} \))(\( 1 + 678 T + 357911 T^{2} \))(\( 1 - 300 T + 357911 T^{2} \))(\( 1 + 285 T + 357911 T^{2} \))(\( 1 - 810 T + 357911 T^{2} \))(\( 1 + 285 T + 357911 T^{2} \))(\( 1 + 720 T + 357911 T^{2} \))(\( 1 - 300 T + 357911 T^{2} \))(\( 1 - 310 T + 664038 T^{2} - 110952410 T^{3} + 128100283921 T^{4} \))(\( 1 - 619 T + 576906 T^{2} - 221546909 T^{3} + 128100283921 T^{4} \))(\( 1 - 1670 T + 1384382 T^{2} - 597711370 T^{3} + 128100283921 T^{4} \))(\( 1 + 136 T + 540446 T^{2} + 48675896 T^{3} + 128100283921 T^{4} \))(\( 1 - 619 T + 576906 T^{2} - 221546909 T^{3} + 128100283921 T^{4} \))(\( 1 - 954 T + 930526 T^{2} - 341447094 T^{3} + 128100283921 T^{4} \))(\( 1 + 740 T + 757502 T^{2} + 264854140 T^{3} + 128100283921 T^{4} \))(\( 1 - 454 T + 304526 T^{2} - 162491594 T^{3} + 128100283921 T^{4} \))(\( 1 + 1018 T + 1108049 T^{2} + 595462884 T^{3} + 396582925639 T^{4} + 130406089031578 T^{5} + 45848500718449031 T^{6} \))(\( 1 + 1018 T + 1108049 T^{2} + 595462884 T^{3} + 396582925639 T^{4} + 130406089031578 T^{5} + 45848500718449031 T^{6} \))(\( 1 + 1725 T + 1434819 T^{2} + 706812600 T^{3} + 347044577276 T^{4} + 252976004478600 T^{5} + 183800721275245299 T^{6} + 79088663739324578475 T^{7} + \)\(16\!\cdots\!41\)\( T^{8} \))(\( 1 + 681 T + 1310019 T^{2} + 668258544 T^{3} + 678493576820 T^{4} + 239177083741584 T^{5} + 167813805841904499 T^{6} + 31222828989263790111 T^{7} + \)\(16\!\cdots\!41\)\( T^{8} \))(\( 1 + 681 T + 1310019 T^{2} + 668258544 T^{3} + 678493576820 T^{4} + 239177083741584 T^{5} + 167813805841904499 T^{6} + 31222828989263790111 T^{7} + \)\(16\!\cdots\!41\)\( T^{8} \))(\( 1 + 1725 T + 1434819 T^{2} + 706812600 T^{3} + 347044577276 T^{4} + 252976004478600 T^{5} + 183800721275245299 T^{6} + 79088663739324578475 T^{7} + \)\(16\!\cdots\!41\)\( T^{8} \))(\( 1 - 1470 T + 1881615 T^{2} - 1727909680 T^{3} + 1338943951990 T^{4} - 860023408325220 T^{5} + 479222768800692890 T^{6} - \)\(22\!\cdots\!80\)\( T^{7} + \)\(86\!\cdots\!65\)\( T^{8} - \)\(24\!\cdots\!70\)\( T^{9} + \)\(58\!\cdots\!51\)\( T^{10} \))(\( 1 - 1470 T + 1881615 T^{2} - 1727909680 T^{3} + 1338943951990 T^{4} - 860023408325220 T^{5} + 479222768800692890 T^{6} - \)\(22\!\cdots\!80\)\( T^{7} + \)\(86\!\cdots\!65\)\( T^{8} - \)\(24\!\cdots\!70\)\( T^{9} + \)\(58\!\cdots\!51\)\( T^{10} \))(\( ( 1 + 960 T + 357911 T^{2} )^{2} \))(\( ( 1 + 678 T + 357911 T^{2} )^{2} \))(\( ( 1 + 720 T + 357911 T^{2} )^{2} \))(\( ( 1 - 300 T + 357911 T^{2} )^{2} \))(\( ( 1 + 285 T + 357911 T^{2} )^{2} \))(\( ( 1 - 810 T + 357911 T^{2} )^{2} \))(\( ( 1 - 954 T + 930526 T^{2} - 341447094 T^{3} + 128100283921 T^{4} )^{2} \))(\( ( 1 - 1670 T + 1384382 T^{2} - 597711370 T^{3} + 128100283921 T^{4} )^{2} \))(\( ( 1 - 454 T + 304526 T^{2} - 162491594 T^{3} + 128100283921 T^{4} )^{2} \))(\( ( 1 - 310 T + 664038 T^{2} - 110952410 T^{3} + 128100283921 T^{4} )^{2} \))(\( ( 1 + 740 T + 757502 T^{2} + 264854140 T^{3} + 128100283921 T^{4} )^{2} \))(\( ( 1 + 136 T + 540446 T^{2} + 48675896 T^{3} + 128100283921 T^{4} )^{2} \))(\( ( 1 - 619 T + 576906 T^{2} - 221546909 T^{3} + 128100283921 T^{4} )^{2} \))(\( ( 1 + 681 T + 1310019 T^{2} + 668258544 T^{3} + 678493576820 T^{4} + 239177083741584 T^{5} + 167813805841904499 T^{6} + 31222828989263790111 T^{7} + \)\(16\!\cdots\!41\)\( T^{8} )^{2} \))(\( ( 1 + 1725 T + 1434819 T^{2} + 706812600 T^{3} + 347044577276 T^{4} + 252976004478600 T^{5} + 183800721275245299 T^{6} + 79088663739324578475 T^{7} + \)\(16\!\cdots\!41\)\( T^{8} )^{2} \))
$73$ (\( 1 + 1066 T + 389017 T^{2} \))(\( 1 - 642 T + 389017 T^{2} \))(\( 1 - 98 T + 389017 T^{2} \))(\( 1 + 838 T + 389017 T^{2} \))(\( 1 - 124 T + 389017 T^{2} \))(\( 1 - 838 T + 389017 T^{2} \))(\( 1 - 502 T + 389017 T^{2} \))(\( 1 + 98 T + 389017 T^{2} \))(\( 1 + 326 T + 789802 T^{2} + 126819542 T^{3} + 151334226289 T^{4} \))(\( 1 + 268 T + 763078 T^{2} + 104256556 T^{3} + 151334226289 T^{4} \))(\( 1 - 386 T + 152218 T^{2} - 150160562 T^{3} + 151334226289 T^{4} \))(\( 1 + 508 T + 13078 T^{2} + 197620636 T^{3} + 151334226289 T^{4} \))(\( 1 - 268 T + 763078 T^{2} - 104256556 T^{3} + 151334226289 T^{4} \))(\( 1 + 1072 T + 1063278 T^{2} + 417026224 T^{3} + 151334226289 T^{4} \))(\( 1 + 424 T + 748558 T^{2} + 164943208 T^{3} + 151334226289 T^{4} \))(\( 1 + 778 T + 794698 T^{2} + 302655226 T^{3} + 151334226289 T^{4} \))(\( 1 + 1554 T + 1505463 T^{2} + 1009418700 T^{3} + 585650699871 T^{4} + 235173387653106 T^{5} + 58871586708267913 T^{6} \))(\( 1 - 1554 T + 1505463 T^{2} - 1009418700 T^{3} + 585650699871 T^{4} - 235173387653106 T^{5} + 58871586708267913 T^{6} \))(\( 1 + 512 T + 1030980 T^{2} + 484092568 T^{3} + 566560915526 T^{4} + 188320238525656 T^{5} + 156022560619433220 T^{6} + 30142252394633171456 T^{7} + \)\(22\!\cdots\!21\)\( T^{8} \))(\( 1 + 1228 T + 618972 T^{2} - 228294532 T^{3} - 319091414218 T^{4} - 88810453955044 T^{5} + 93671648714554908 T^{6} + 72294308477752997164 T^{7} + \)\(22\!\cdots\!21\)\( T^{8} \))(\( 1 - 1228 T + 618972 T^{2} + 228294532 T^{3} - 319091414218 T^{4} + 88810453955044 T^{5} + 93671648714554908 T^{6} - 72294308477752997164 T^{7} + \)\(22\!\cdots\!21\)\( T^{8} \))(\( 1 - 512 T + 1030980 T^{2} - 484092568 T^{3} + 566560915526 T^{4} - 188320238525656 T^{5} + 156022560619433220 T^{6} - 30142252394633171456 T^{7} + \)\(22\!\cdots\!21\)\( T^{8} \))(\( 1 - 534 T + 1342021 T^{2} - 930732232 T^{3} + 817882087762 T^{4} - 560574711779204 T^{5} + 318170036134909954 T^{6} - \)\(14\!\cdots\!48\)\( T^{7} + \)\(79\!\cdots\!73\)\( T^{8} - \)\(12\!\cdots\!14\)\( T^{9} + \)\(89\!\cdots\!57\)\( T^{10} \))(\( 1 + 534 T + 1342021 T^{2} + 930732232 T^{3} + 817882087762 T^{4} + 560574711779204 T^{5} + 318170036134909954 T^{6} + \)\(14\!\cdots\!48\)\( T^{7} + \)\(79\!\cdots\!73\)\( T^{8} + \)\(12\!\cdots\!14\)\( T^{9} + \)\(89\!\cdots\!57\)\( T^{10} \))(\( 1 + 358322 T^{2} + 151334226289 T^{4} \))(\( 1 - 365870 T^{2} + 151334226289 T^{4} \))(\( 1 - 526030 T^{2} + 151334226289 T^{4} \))(\( 1 - 768430 T^{2} + 151334226289 T^{4} \))(\( 1 - 75790 T^{2} + 151334226289 T^{4} \))(\( 1 - 762658 T^{2} + 151334226289 T^{4} \))(\( 1 - 977372 T^{2} + 539124333606 T^{4} - 147909835416532508 T^{6} + \)\(22\!\cdots\!21\)\( T^{8} \))(\( 1 - 155440 T^{2} + 209914818238 T^{4} - 23523392134362160 T^{6} + \)\(22\!\cdots\!21\)\( T^{8} \))(\( 1 - 984112 T^{2} + 463281832126 T^{4} - 148929828101720368 T^{6} + \)\(22\!\cdots\!21\)\( T^{8} \))(\( 1 - 1473328 T^{2} + 843769310398 T^{4} - 222964952949919792 T^{6} + \)\(22\!\cdots\!21\)\( T^{8} \))(\( 1 - 1317340 T^{2} + 723135691558 T^{4} - 199358629659551260 T^{6} + \)\(22\!\cdots\!21\)\( T^{8} \))(\( 1 + 231908 T^{2} + 102056920486 T^{4} + 35095617750229412 T^{6} + \)\(22\!\cdots\!21\)\( T^{8} \))(\( 1 - 1454332 T^{2} + 829074972646 T^{4} - 220090207987333948 T^{6} + \)\(22\!\cdots\!21\)\( T^{8} \))(\( 1 + 270040 T^{2} + 305634878940 T^{4} + 41673922681088936 T^{6} + \)\(45\!\cdots\!18\)\( T^{8} + \)\(63\!\cdots\!04\)\( T^{10} + \)\(69\!\cdots\!40\)\( T^{12} + \)\(93\!\cdots\!60\)\( T^{14} + \)\(52\!\cdots\!41\)\( T^{16} \))(\( 1 - 1799816 T^{2} + 1700330801820 T^{4} - 1053085527973751032 T^{6} + \)\(47\!\cdots\!58\)\( T^{8} - \)\(15\!\cdots\!48\)\( T^{10} + \)\(38\!\cdots\!20\)\( T^{12} - \)\(62\!\cdots\!04\)\( T^{14} + \)\(52\!\cdots\!41\)\( T^{16} \))
$79$ (\( 1 - 896 T + 493039 T^{2} \))(\( 1 - 740 T + 493039 T^{2} \))(\( 1 - 686 T + 493039 T^{2} \))(\( 1 + 469 T + 493039 T^{2} \))(\( 1 - 1136 T + 493039 T^{2} \))(\( 1 + 469 T + 493039 T^{2} \))(\( 1 + 1024 T + 493039 T^{2} \))(\( 1 - 686 T + 493039 T^{2} \))(\( 1 - 1832 T + 1824478 T^{2} - 903247448 T^{3} + 243087455521 T^{4} \))(\( 1 + 427 T + 986572 T^{2} + 210527653 T^{3} + 243087455521 T^{4} \))(\( 1 + 888 T + 1007454 T^{2} + 437818632 T^{3} + 243087455521 T^{4} \))(\( 1 + 432 T + 602142 T^{2} + 212992848 T^{3} + 243087455521 T^{4} \))(\( 1 + 427 T + 986572 T^{2} + 210527653 T^{3} + 243087455521 T^{4} \))(\( 1 + 572 T + 901662 T^{2} + 282018308 T^{3} + 243087455521 T^{4} \))(\( 1 + 408 T - 143586 T^{2} + 201159912 T^{3} + 243087455521 T^{4} \))(\( 1 - 408 T + 994782 T^{2} - 201159912 T^{3} + 243087455521 T^{4} \))(\( 1 + 1620 T + 1787517 T^{2} + 1338821912 T^{3} + 881315594163 T^{4} + 393801677944020 T^{5} + 119851595982618319 T^{6} \))(\( 1 + 1620 T + 1787517 T^{2} + 1338821912 T^{3} + 881315594163 T^{4} + 393801677944020 T^{5} + 119851595982618319 T^{6} \))(\( 1 - 1629 T + 1989837 T^{2} - 1837769472 T^{3} + 1504809477470 T^{4} - 906092022705408 T^{5} + 483704413231540077 T^{6} - \)\(19\!\cdots\!51\)\( T^{7} + \)\(59\!\cdots\!41\)\( T^{8} \))(\( 1 - 345 T + 1235121 T^{2} - 721148448 T^{3} + 716751093026 T^{4} - 355554309653472 T^{5} + 300242421150553041 T^{6} - 41348800614003320055 T^{7} + \)\(59\!\cdots\!41\)\( T^{8} \))(\( 1 - 345 T + 1235121 T^{2} - 721148448 T^{3} + 716751093026 T^{4} - 355554309653472 T^{5} + 300242421150553041 T^{6} - 41348800614003320055 T^{7} + \)\(59\!\cdots\!41\)\( T^{8} \))(\( 1 - 1629 T + 1989837 T^{2} - 1837769472 T^{3} + 1504809477470 T^{4} - 906092022705408 T^{5} + 483704413231540077 T^{6} - \)\(19\!\cdots\!51\)\( T^{7} + \)\(59\!\cdots\!41\)\( T^{8} \))(\( 1 + 820 T + 1736795 T^{2} + 1027136240 T^{3} + 1389341527610 T^{4} + 657402503393464 T^{5} + 684999557431306790 T^{6} + \)\(24\!\cdots\!40\)\( T^{7} + \)\(20\!\cdots\!05\)\( T^{8} + \)\(48\!\cdots\!20\)\( T^{9} + \)\(29\!\cdots\!99\)\( T^{10} \))(\( 1 + 820 T + 1736795 T^{2} + 1027136240 T^{3} + 1389341527610 T^{4} + 657402503393464 T^{5} + 684999557431306790 T^{6} + \)\(24\!\cdots\!40\)\( T^{7} + \)\(20\!\cdots\!05\)\( T^{8} + \)\(48\!\cdots\!20\)\( T^{9} + \)\(29\!\cdots\!99\)\( T^{10} \))(\( ( 1 + 896 T + 493039 T^{2} )^{2} \))(\( ( 1 + 740 T + 493039 T^{2} )^{2} \))(\( ( 1 - 1024 T + 493039 T^{2} )^{2} \))(\( ( 1 + 686 T + 493039 T^{2} )^{2} \))(\( ( 1 - 469 T + 493039 T^{2} )^{2} \))(\( ( 1 + 1136 T + 493039 T^{2} )^{2} \))(\( ( 1 - 572 T + 901662 T^{2} - 282018308 T^{3} + 243087455521 T^{4} )^{2} \))(\( ( 1 - 888 T + 1007454 T^{2} - 437818632 T^{3} + 243087455521 T^{4} )^{2} \))(\( ( 1 + 408 T + 994782 T^{2} + 201159912 T^{3} + 243087455521 T^{4} )^{2} \))(\( ( 1 + 1832 T + 1824478 T^{2} + 903247448 T^{3} + 243087455521 T^{4} )^{2} \))(\( ( 1 - 408 T - 143586 T^{2} - 201159912 T^{3} + 243087455521 T^{4} )^{2} \))(\( ( 1 - 432 T + 602142 T^{2} - 212992848 T^{3} + 243087455521 T^{4} )^{2} \))(\( ( 1 - 427 T + 986572 T^{2} - 210527653 T^{3} + 243087455521 T^{4} )^{2} \))(\( ( 1 + 345 T + 1235121 T^{2} + 721148448 T^{3} + 716751093026 T^{4} + 355554309653472 T^{5} + 300242421150553041 T^{6} + 41348800614003320055 T^{7} + \)\(59\!\cdots\!41\)\( T^{8} )^{2} \))(\( ( 1 + 1629 T + 1989837 T^{2} + 1837769472 T^{3} + 1504809477470 T^{4} + 906092022705408 T^{5} + 483704413231540077 T^{6} + \)\(19\!\cdots\!51\)\( T^{7} + \)\(59\!\cdots\!41\)\( T^{8} )^{2} \))
$83$ (\( 1 + 436 T + 571787 T^{2} \))(\( 1 + 468 T + 571787 T^{2} \))(\( 1 - 1401 T + 571787 T^{2} \))(\( 1 + 406 T + 571787 T^{2} \))(\( 1 + 156 T + 571787 T^{2} \))(\( 1 - 406 T + 571787 T^{2} \))(\( 1 - 204 T + 571787 T^{2} \))(\( 1 + 1401 T + 571787 T^{2} \))(\( 1 - 680 T + 744870 T^{2} - 388815160 T^{3} + 326940373369 T^{4} \))(\( 1 + 1211 T + 720720 T^{2} + 692434057 T^{3} + 326940373369 T^{4} \))(\( 1 + 928 T + 600710 T^{2} + 530618336 T^{3} + 326940373369 T^{4} \))(\( 1 - 584 T + 1172390 T^{2} - 333923608 T^{3} + 326940373369 T^{4} \))(\( 1 - 1211 T + 720720 T^{2} - 692434057 T^{3} + 326940373369 T^{4} \))(\( 1 + 1944 T + 1957030 T^{2} + 1111553928 T^{3} + 326940373369 T^{4} \))(\( 1 + 608 T + 1200710 T^{2} + 347646496 T^{3} + 326940373369 T^{4} \))(\( 1 + 1136 T + 1169990 T^{2} + 649550032 T^{3} + 326940373369 T^{4} \))(\( 1 - 872 T + 923489 T^{2} - 308826096 T^{3} + 528039004843 T^{4} - 285092005577768 T^{5} + 186940255267540403 T^{6} \))(\( 1 + 872 T + 923489 T^{2} + 308826096 T^{3} + 528039004843 T^{4} + 285092005577768 T^{5} + 186940255267540403 T^{6} \))(\( 1 + 321 T + 661434 T^{2} + 144132717 T^{3} + 79870144034 T^{4} + 82413213855279 T^{5} + 216249478918951146 T^{6} + 60007821940880469363 T^{7} + \)\(10\!\cdots\!61\)\( T^{8} \))(\( 1 + 1509 T + 2187990 T^{2} + 1588008513 T^{3} + 1474125264218 T^{4} + 908002623622731 T^{5} + 715342267527638310 T^{6} + \)\(28\!\cdots\!27\)\( T^{7} + \)\(10\!\cdots\!61\)\( T^{8} \))(\( 1 - 1509 T + 2187990 T^{2} - 1588008513 T^{3} + 1474125264218 T^{4} - 908002623622731 T^{5} + 715342267527638310 T^{6} - \)\(28\!\cdots\!27\)\( T^{7} + \)\(10\!\cdots\!61\)\( T^{8} \))(\( 1 - 321 T + 661434 T^{2} - 144132717 T^{3} + 79870144034 T^{4} - 82413213855279 T^{5} + 216249478918951146 T^{6} - 60007821940880469363 T^{7} + \)\(10\!\cdots\!61\)\( T^{8} \))(\( 1 + 1520 T + 3526775 T^{2} + 3535501120 T^{3} + 4405187467130 T^{4} + 3049079895261856 T^{5} + 2518828926267861310 T^{6} + \)\(11\!\cdots\!80\)\( T^{7} + \)\(65\!\cdots\!25\)\( T^{8} + \)\(16\!\cdots\!20\)\( T^{9} + \)\(61\!\cdots\!07\)\( T^{10} \))(\( 1 - 1520 T + 3526775 T^{2} - 3535501120 T^{3} + 4405187467130 T^{4} - 3049079895261856 T^{5} + 2518828926267861310 T^{6} - \)\(11\!\cdots\!80\)\( T^{7} + \)\(65\!\cdots\!25\)\( T^{8} - \)\(16\!\cdots\!20\)\( T^{9} + \)\(61\!\cdots\!07\)\( T^{10} \))(\( 1 - 953478 T^{2} + 326940373369 T^{4} \))(\( 1 - 924550 T^{2} + 326940373369 T^{4} \))(\( 1 - 1101958 T^{2} + 326940373369 T^{4} \))(\( 1 + 819227 T^{2} + 326940373369 T^{4} \))(\( 1 - 978738 T^{2} + 326940373369 T^{4} \))(\( 1 - 1119238 T^{2} + 326940373369 T^{4} \))(\( 1 - 134924 T^{2} + 162125495574 T^{4} - 44112102936438956 T^{6} + \)\(10\!\cdots\!61\)\( T^{8} \))(\( 1 - 340236 T^{2} + 29905619222 T^{4} - 111236884873575084 T^{6} + \)\(10\!\cdots\!61\)\( T^{8} \))(\( 1 - 1049484 T^{2} + 546979674134 T^{4} - 343118690804791596 T^{6} + \)\(10\!\cdots\!61\)\( T^{8} \))(\( 1 - 1027340 T^{2} + 679923446038 T^{4} - 335878923176908460 T^{6} + \)\(10\!\cdots\!61\)\( T^{8} \))(\( 1 - 2031756 T^{2} + 1672847111702 T^{4} - 664263065234705964 T^{6} + \)\(10\!\cdots\!61\)\( T^{8} \))(\( 1 - 2003724 T^{2} + 1638356284694 T^{4} - 655098272688426156 T^{6} + \)\(10\!\cdots\!61\)\( T^{8} \))(\( 1 + 25081 T^{2} - 503757220916 T^{4} + 8199991504467889 T^{6} + \)\(10\!\cdots\!61\)\( T^{8} \))(\( 1 - 2098899 T^{2} + 2942941076302 T^{4} - 2619304253314086933 T^{6} + \)\(17\!\cdots\!54\)\( T^{8} - \)\(85\!\cdots\!77\)\( T^{10} + \)\(31\!\cdots\!22\)\( T^{12} - \)\(73\!\cdots\!91\)\( T^{14} + \)\(11\!\cdots\!21\)\( T^{16} \))(\( 1 - 1219827 T^{2} + 504702020110 T^{4} - 464473092130980597 T^{6} + \)\(44\!\cdots\!74\)\( T^{8} - \)\(15\!\cdots\!93\)\( T^{10} + \)\(53\!\cdots\!10\)\( T^{12} - \)\(42\!\cdots\!43\)\( T^{14} + \)\(11\!\cdots\!21\)\( T^{16} \))
$89$ (\( 1 + 1038 T + 704969 T^{2} \))(\( 1 - 200 T + 704969 T^{2} \))(\( 1 - 714 T + 704969 T^{2} \))(\( 1 - 324 T + 704969 T^{2} \))(\( 1 + 1038 T + 704969 T^{2} \))(\( 1 - 324 T + 704969 T^{2} \))(\( 1 - 354 T + 704969 T^{2} \))(\( 1 - 714 T + 704969 T^{2} \))(\( 1 - 796 T + 411158 T^{2} - 561155324 T^{3} + 496981290961 T^{4} \))(\( 1 - 466 T + 306170 T^{2} - 328515554 T^{3} + 496981290961 T^{4} \))(\( 1 - 588 T + 1495334 T^{2} - 414521772 T^{3} + 496981290961 T^{4} \))(\( 1 + 1404 T + 1802390 T^{2} + 989776476 T^{3} + 496981290961 T^{4} \))(\( 1 - 466 T + 306170 T^{2} - 328515554 T^{3} + 496981290961 T^{4} \))(\( 1 - 366 T + 1156090 T^{2} - 258018654 T^{3} + 496981290961 T^{4} \))(\( 1 + 1332 T + 1790774 T^{2} + 939018708 T^{3} + 496981290961 T^{4} \))(\( 1 - 36 T - 842170 T^{2} - 25378884 T^{3} + 496981290961 T^{4} \))(\( 1 + 1938 T + 3246255 T^{2} + 2913932892 T^{3} + 2288509141095 T^{4} + 963149741882418 T^{5} + 350356403707485209 T^{6} \))(\( 1 + 1938 T + 3246255 T^{2} + 2913932892 T^{3} + 2288509141095 T^{4} + 963149741882418 T^{5} + 350356403707485209 T^{6} \))(\( 1 + 978 T + 526228 T^{2} - 159100050 T^{3} - 360762420714 T^{4} - 112160603148450 T^{5} + 261525470779825108 T^{6} + \)\(34\!\cdots\!02\)\( T^{7} + \)\(24\!\cdots\!21\)\( T^{8} \))(\( 1 + 198 T + 1184884 T^{2} - 492558966 T^{3} + 650980125750 T^{4} - 347238801702054 T^{5} + 588865179959033524 T^{6} + 69370567934082071382 T^{7} + \)\(24\!\cdots\!21\)\( T^{8} \))(\( 1 + 198 T + 1184884 T^{2} - 492558966 T^{3} + 650980125750 T^{4} - 347238801702054 T^{5} + 588865179959033524 T^{6} + 69370567934082071382 T^{7} + \)\(24\!\cdots\!21\)\( T^{8} \))(\( 1 + 978 T + 526228 T^{2} - 159100050 T^{3} - 360762420714 T^{4} - 112160603148450 T^{5} + 261525470779825108 T^{6} + \)\(34\!\cdots\!02\)\( T^{7} + \)\(24\!\cdots\!21\)\( T^{8} \))(\( 1 - 286 T + 2177465 T^{2} - 600135040 T^{3} + 2162009088238 T^{4} - 560754412921604 T^{5} + 1524149384926054622 T^{6} - \)\(29\!\cdots\!40\)\( T^{7} + \)\(76\!\cdots\!85\)\( T^{8} - \)\(70\!\cdots\!06\)\( T^{9} + \)\(17\!\cdots\!49\)\( T^{10} \))(\( 1 - 286 T + 2177465 T^{2} - 600135040 T^{3} + 2162009088238 T^{4} - 560754412921604 T^{5} + 1524149384926054622 T^{6} - \)\(29\!\cdots\!40\)\( T^{7} + \)\(76\!\cdots\!85\)\( T^{8} - \)\(70\!\cdots\!06\)\( T^{9} + \)\(17\!\cdots\!49\)\( T^{10} \))(\( ( 1 - 1038 T + 704969 T^{2} )^{2} \))(\( ( 1 + 200 T + 704969 T^{2} )^{2} \))(\( ( 1 + 354 T + 704969 T^{2} )^{2} \))(\( ( 1 + 714 T + 704969 T^{2} )^{2} \))(\( ( 1 + 324 T + 704969 T^{2} )^{2} \))(\( ( 1 - 1038 T + 704969 T^{2} )^{2} \))(\( ( 1 + 366 T + 1156090 T^{2} + 258018654 T^{3} + 496981290961 T^{4} )^{2} \))(\( ( 1 + 588 T + 1495334 T^{2} + 414521772 T^{3} + 496981290961 T^{4} )^{2} \))(\( ( 1 + 36 T - 842170 T^{2} + 25378884 T^{3} + 496981290961 T^{4} )^{2} \))(\( ( 1 + 796 T + 411158 T^{2} + 561155324 T^{3} + 496981290961 T^{4} )^{2} \))(\( ( 1 - 1332 T + 1790774 T^{2} - 939018708 T^{3} + 496981290961 T^{4} )^{2} \))(\( ( 1 - 1404 T + 1802390 T^{2} - 989776476 T^{3} + 496981290961 T^{4} )^{2} \))(\( ( 1 + 466 T + 306170 T^{2} + 328515554 T^{3} + 496981290961 T^{4} )^{2} \))(\( ( 1 - 198 T + 1184884 T^{2} + 492558966 T^{3} + 650980125750 T^{4} + 347238801702054 T^{5} + 588865179959033524 T^{6} - 69370567934082071382 T^{7} + \)\(24\!\cdots\!21\)\( T^{8} )^{2} \))(\( ( 1 - 978 T + 526228 T^{2} + 159100050 T^{3} - 360762420714 T^{4} + 112160603148450 T^{5} + 261525470779825108 T^{6} - \)\(34\!\cdots\!02\)\( T^{7} + \)\(24\!\cdots\!21\)\( T^{8} )^{2} \))
$97$ (\( 1 - 702 T + 912673 T^{2} \))(\( 1 - 1266 T + 912673 T^{2} \))(\( 1 - 494 T + 912673 T^{2} \))(\( 1 + 114 T + 912673 T^{2} \))(\( 1 + 1208 T + 912673 T^{2} \))(\( 1 - 114 T + 912673 T^{2} \))(\( 1 - 286 T + 912673 T^{2} \))(\( 1 + 494 T + 912673 T^{2} \))(\( 1 - 670 T + 1145410 T^{2} - 611490910 T^{3} + 832972004929 T^{4} \))(\( 1 + 172 T - 273626 T^{2} + 156979756 T^{3} + 832972004929 T^{4} \))(\( 1 + 522 T + 291282 T^{2} + 476415306 T^{3} + 832972004929 T^{4} \))(\( 1 - 1188 T + 2161254 T^{2} - 1084255524 T^{3} + 832972004929 T^{4} \))(\( 1 - 172 T - 273626 T^{2} - 156979756 T^{3} + 832972004929 T^{4} \))(\( 1 + 808 T + 903054 T^{2} + 737439784 T^{3} + 832972004929 T^{4} \))(\( 1 - 2448 T + 3286542 T^{2} - 2234223504 T^{3} + 832972004929 T^{4} \))(\( 1 - 498 T + 1796754 T^{2} - 454511154 T^{3} + 832972004929 T^{4} \))(\( 1 + 1878 T + 3431919 T^{2} + 3287491396 T^{3} + 3132219809487 T^{4} + 1564321425256662 T^{5} + 760231058654565217 T^{6} \))(\( 1 - 1878 T + 3431919 T^{2} - 3287491396 T^{3} + 3132219809487 T^{4} - 1564321425256662 T^{5} + 760231058654565217 T^{6} \))(\( 1 + 2616 T + 5183100 T^{2} + 6945540936 T^{3} + 7789652954246 T^{4} + 6339007682681928 T^{5} + 4317377198747499900 T^{6} + \)\(19\!\cdots\!72\)\( T^{7} + \)\(69\!\cdots\!41\)\( T^{8} \))(\( 1 - 372 T + 1910724 T^{2} - 1429297356 T^{3} + 2012229372278 T^{4} - 1304481105792588 T^{5} + 1591579601145958596 T^{6} - \)\(28\!\cdots\!24\)\( T^{7} + \)\(69\!\cdots\!41\)\( T^{8} \))(\( 1 + 372 T + 1910724 T^{2} + 1429297356 T^{3} + 2012229372278 T^{4} + 1304481105792588 T^{5} + 1591579601145958596 T^{6} + \)\(28\!\cdots\!24\)\( T^{7} + \)\(69\!\cdots\!41\)\( T^{8} \))(\( 1 - 2616 T + 5183100 T^{2} - 6945540936 T^{3} + 7789652954246 T^{4} - 6339007682681928 T^{5} + 4317377198747499900 T^{6} - \)\(19\!\cdots\!72\)\( T^{7} + \)\(69\!\cdots\!41\)\( T^{8} \))(\( 1 + 278 T + 3429709 T^{2} + 1008794696 T^{3} + 5371131513042 T^{4} + 1398135665763908 T^{5} + 4902086711402581266 T^{6} + \)\(84\!\cdots\!84\)\( T^{7} + \)\(26\!\cdots\!53\)\( T^{8} + \)\(19\!\cdots\!98\)\( T^{9} + \)\(63\!\cdots\!93\)\( T^{10} \))(\( 1 - 278 T + 3429709 T^{2} - 1008794696 T^{3} + 5371131513042 T^{4} - 1398135665763908 T^{5} + 4902086711402581266 T^{6} - \)\(84\!\cdots\!84\)\( T^{7} + \)\(26\!\cdots\!53\)\( T^{8} - \)\(19\!\cdots\!98\)\( T^{9} + \)\(63\!\cdots\!93\)\( T^{10} \))(\( 1 - 1332542 T^{2} + 832972004929 T^{4} \))(\( 1 - 222590 T^{2} + 832972004929 T^{4} \))(\( 1 - 1743550 T^{2} + 832972004929 T^{4} \))(\( 1 - 1581310 T^{2} + 832972004929 T^{4} \))(\( 1 - 1812350 T^{2} + 832972004929 T^{4} \))(\( 1 - 366082 T^{2} + 832972004929 T^{4} \))(\( 1 - 1153244 T^{2} + 1289747845830 T^{4} - 960619966852339676 T^{6} + \)\(69\!\cdots\!41\)\( T^{8} \))(\( 1 - 310080 T^{2} + 1253411633918 T^{4} - 258287959288384320 T^{6} + \)\(69\!\cdots\!41\)\( T^{8} \))(\( 1 - 3345504 T^{2} + 4441575836990 T^{4} - 2786711174377989216 T^{6} + \)\(69\!\cdots\!41\)\( T^{8} \))(\( 1 - 1841920 T^{2} + 2158510258558 T^{4} - 1534267795318823680 T^{6} + \)\(69\!\cdots\!41\)\( T^{8} \))(\( 1 - 580380 T^{2} + 1528544052038 T^{4} - 483440292220693020 T^{6} + \)\(69\!\cdots\!41\)\( T^{8} \))(\( 1 - 2911164 T^{2} + 3760771737350 T^{4} - 2424918113757127356 T^{6} + \)\(69\!\cdots\!41\)\( T^{8} \))(\( 1 + 576836 T^{2} + 1686814161670 T^{4} + 480488239435224644 T^{6} + \)\(69\!\cdots\!41\)\( T^{8} \))(\( 1 - 3683064 T^{2} + 6611927715868 T^{4} - 7859364237946659528 T^{6} + \)\(75\!\cdots\!62\)\( T^{8} - \)\(65\!\cdots\!12\)\( T^{10} + \)\(45\!\cdots\!88\)\( T^{12} - \)\(21\!\cdots\!96\)\( T^{14} + \)\(48\!\cdots\!81\)\( T^{16} \))(\( 1 - 3522744 T^{2} + 6104761341340 T^{4} - 7977627762356281608 T^{6} + \)\(83\!\cdots\!78\)\( T^{8} - \)\(66\!\cdots\!32\)\( T^{10} + \)\(42\!\cdots\!40\)\( T^{12} - \)\(20\!\cdots\!16\)\( T^{14} + \)\(48\!\cdots\!81\)\( T^{16} \))
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