Properties

Label 2205.4
Level 2205
Weight 4
Dimension 352475
Nonzero newspaces 60
Sturm bound 1354752
Trace bound 9

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Defining parameters

Level: \( N \) = \( 2205 = 3^{2} \cdot 5 \cdot 7^{2} \)
Weight: \( k \) = \( 4 \)
Nonzero newspaces: \( 60 \)
Sturm bound: \(1354752\)
Trace bound: \(9\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(\Gamma_1(2205))\).

Total New Old
Modular forms 511872 355093 156779
Cusp forms 504192 352475 151717
Eisenstein series 7680 2618 5062

Trace form

\( 352475q - 92q^{2} - 122q^{3} - 60q^{4} - 105q^{5} - 394q^{6} - 60q^{7} - 342q^{8} - 154q^{9} + O(q^{10}) \) \( 352475q - 92q^{2} - 122q^{3} - 60q^{4} - 105q^{5} - 394q^{6} - 60q^{7} - 342q^{8} - 154q^{9} - 371q^{10} - 146q^{11} + 248q^{12} + 382q^{13} + 996q^{14} - 287q^{15} - 628q^{16} - 1496q^{17} - 1904q^{18} - 2534q^{19} - 2353q^{20} - 1152q^{21} - 2304q^{22} - 402q^{23} - 798q^{24} + 1241q^{25} + 3982q^{26} + 1768q^{27} + 3324q^{28} + 3146q^{29} + 1544q^{30} + 4700q^{31} + 6812q^{32} + 1340q^{33} + 888q^{34} - 1374q^{35} - 3782q^{36} - 2080q^{37} - 9860q^{38} - 5150q^{39} - 3757q^{40} - 8932q^{41} - 5556q^{42} - 6812q^{43} - 15754q^{44} - 37q^{45} - 14390q^{46} - 842q^{47} - 5470q^{48} - 4032q^{49} - 956q^{50} - 3514q^{51} + 13994q^{52} + 7684q^{53} + 4838q^{54} + 9481q^{55} + 16200q^{56} + 3130q^{57} + 4742q^{58} + 15826q^{59} + 13976q^{60} - 786q^{61} + 20166q^{62} + 10272q^{63} - 8606q^{64} - 182q^{65} + 25588q^{66} - 5400q^{67} + 26768q^{68} + 21186q^{69} - 3813q^{70} + 8294q^{71} - 6438q^{72} + 8164q^{73} - 20278q^{74} - 17219q^{75} - 6332q^{76} - 17712q^{77} - 56284q^{78} - 17364q^{79} - 21514q^{80} - 25306q^{81} - 9248q^{82} - 10806q^{83} - 20664q^{84} - 3299q^{85} - 34358q^{86} - 24002q^{87} - 38970q^{88} - 35400q^{89} - 18404q^{90} - 21174q^{91} - 21600q^{92} + 6966q^{93} - 22188q^{94} + 1693q^{95} + 38968q^{96} + 19910q^{97} - 12624q^{98} + 43834q^{99} + O(q^{100}) \)

Decomposition of \(S_{4}^{\mathrm{new}}(\Gamma_1(2205))\)

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
2205.4.a \(\chi_{2205}(1, \cdot)\) 2205.4.a.a 1 1
2205.4.a.b 1
2205.4.a.c 1
2205.4.a.d 1
2205.4.a.e 1
2205.4.a.f 1
2205.4.a.g 1
2205.4.a.h 1
2205.4.a.i 1
2205.4.a.j 1
2205.4.a.k 1
2205.4.a.l 1
2205.4.a.m 1
2205.4.a.n 1
2205.4.a.o 1
2205.4.a.p 1
2205.4.a.q 1
2205.4.a.r 1
2205.4.a.s 1
2205.4.a.t 1
2205.4.a.u 2
2205.4.a.v 2
2205.4.a.w 2
2205.4.a.x 2
2205.4.a.y 2
2205.4.a.z 2
2205.4.a.ba 2
2205.4.a.bb 2
2205.4.a.bc 2
2205.4.a.bd 2
2205.4.a.be 2
2205.4.a.bf 2
2205.4.a.bg 2
2205.4.a.bh 2
2205.4.a.bi 3
2205.4.a.bj 3
2205.4.a.bk 3
2205.4.a.bl 3
2205.4.a.bm 3
2205.4.a.bn 4
2205.4.a.bo 4
2205.4.a.bp 4
2205.4.a.bq 4
2205.4.a.br 5
2205.4.a.bs 5
2205.4.a.bt 5
2205.4.a.bu 5
2205.4.a.bv 5
2205.4.a.bw 5
2205.4.a.bx 6
2205.4.a.by 6
2205.4.a.bz 6
2205.4.a.ca 6
2205.4.a.cb 8
2205.4.a.cc 8
2205.4.a.cd 8
2205.4.a.ce 8
2205.4.a.cf 8
2205.4.a.cg 8
2205.4.a.ch 12
2205.4.a.ci 12
2205.4.b \(\chi_{2205}(881, \cdot)\) n/a 160 1
2205.4.d \(\chi_{2205}(1324, \cdot)\) n/a 302 1
2205.4.g \(\chi_{2205}(2204, \cdot)\) n/a 240 1
2205.4.i \(\chi_{2205}(736, \cdot)\) n/a 984 2
2205.4.j \(\chi_{2205}(226, \cdot)\) n/a 400 2
2205.4.k \(\chi_{2205}(961, \cdot)\) n/a 960 2
2205.4.l \(\chi_{2205}(1096, \cdot)\) n/a 960 2
2205.4.m \(\chi_{2205}(197, \cdot)\) n/a 492 2
2205.4.p \(\chi_{2205}(1567, \cdot)\) n/a 592 2
2205.4.r \(\chi_{2205}(214, \cdot)\) n/a 1424 2
2205.4.t \(\chi_{2205}(1391, \cdot)\) n/a 960 2
2205.4.u \(\chi_{2205}(374, \cdot)\) n/a 1424 2
2205.4.z \(\chi_{2205}(734, \cdot)\) n/a 1424 2
2205.4.bb \(\chi_{2205}(1844, \cdot)\) n/a 480 2
2205.4.be \(\chi_{2205}(1256, \cdot)\) n/a 960 2
2205.4.bf \(\chi_{2205}(1549, \cdot)\) n/a 592 2
2205.4.bh \(\chi_{2205}(589, \cdot)\) n/a 1456 2
2205.4.bj \(\chi_{2205}(521, \cdot)\) n/a 320 2
2205.4.bl \(\chi_{2205}(146, \cdot)\) n/a 960 2
2205.4.bo \(\chi_{2205}(79, \cdot)\) n/a 1424 2
2205.4.bq \(\chi_{2205}(509, \cdot)\) n/a 1424 2
2205.4.bs \(\chi_{2205}(316, \cdot)\) n/a 1680 6
2205.4.bt \(\chi_{2205}(178, \cdot)\) n/a 2848 4
2205.4.bw \(\chi_{2205}(263, \cdot)\) n/a 2848 4
2205.4.by \(\chi_{2205}(128, \cdot)\) n/a 2848 4
2205.4.ca \(\chi_{2205}(1207, \cdot)\) n/a 1184 4
2205.4.cc \(\chi_{2205}(97, \cdot)\) n/a 2848 4
2205.4.cd \(\chi_{2205}(932, \cdot)\) n/a 2912 4
2205.4.cf \(\chi_{2205}(422, \cdot)\) n/a 960 4
2205.4.ch \(\chi_{2205}(313, \cdot)\) n/a 2848 4
2205.4.ck \(\chi_{2205}(314, \cdot)\) n/a 2016 6
2205.4.cn \(\chi_{2205}(64, \cdot)\) n/a 2508 6
2205.4.cp \(\chi_{2205}(251, \cdot)\) n/a 1344 6
2205.4.cq \(\chi_{2205}(121, \cdot)\) n/a 8064 12
2205.4.cr \(\chi_{2205}(16, \cdot)\) n/a 8064 12
2205.4.cs \(\chi_{2205}(46, \cdot)\) n/a 3360 12
2205.4.ct \(\chi_{2205}(106, \cdot)\) n/a 8064 12
2205.4.cv \(\chi_{2205}(118, \cdot)\) n/a 5016 12
2205.4.cw \(\chi_{2205}(8, \cdot)\) n/a 4032 12
2205.4.cz \(\chi_{2205}(164, \cdot)\) n/a 12048 12
2205.4.db \(\chi_{2205}(4, \cdot)\) n/a 12048 12
2205.4.de \(\chi_{2205}(41, \cdot)\) n/a 8064 12
2205.4.dg \(\chi_{2205}(26, \cdot)\) n/a 2688 12
2205.4.di \(\chi_{2205}(169, \cdot)\) n/a 12048 12
2205.4.dk \(\chi_{2205}(109, \cdot)\) n/a 5016 12
2205.4.dl \(\chi_{2205}(236, \cdot)\) n/a 8064 12
2205.4.do \(\chi_{2205}(89, \cdot)\) n/a 4032 12
2205.4.dq \(\chi_{2205}(104, \cdot)\) n/a 12048 12
2205.4.dv \(\chi_{2205}(59, \cdot)\) n/a 12048 12
2205.4.dw \(\chi_{2205}(101, \cdot)\) n/a 8064 12
2205.4.dy \(\chi_{2205}(184, \cdot)\) n/a 12048 12
2205.4.ea \(\chi_{2205}(157, \cdot)\) n/a 24096 24
2205.4.ec \(\chi_{2205}(92, \cdot)\) n/a 24096 24
2205.4.ee \(\chi_{2205}(53, \cdot)\) n/a 8064 24
2205.4.eh \(\chi_{2205}(73, \cdot)\) n/a 10032 24
2205.4.ej \(\chi_{2205}(13, \cdot)\) n/a 24096 24
2205.4.el \(\chi_{2205}(2, \cdot)\) n/a 24096 24
2205.4.en \(\chi_{2205}(23, \cdot)\) n/a 24096 24
2205.4.eo \(\chi_{2205}(52, \cdot)\) n/a 24096 24

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

Decomposition of \(S_{4}^{\mathrm{old}}(\Gamma_1(2205))\) into lower level spaces

\( S_{4}^{\mathrm{old}}(\Gamma_1(2205)) \cong \) \(S_{4}^{\mathrm{new}}(\Gamma_1(5))\)\(^{\oplus 9}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(7))\)\(^{\oplus 12}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(9))\)\(^{\oplus 6}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(15))\)\(^{\oplus 6}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(21))\)\(^{\oplus 8}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(35))\)\(^{\oplus 6}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(45))\)\(^{\oplus 3}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(49))\)\(^{\oplus 6}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(63))\)\(^{\oplus 4}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(105))\)\(^{\oplus 4}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(147))\)\(^{\oplus 4}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(245))\)\(^{\oplus 3}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(315))\)\(^{\oplus 2}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(441))\)\(^{\oplus 2}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(735))\)\(^{\oplus 2}\)

Hecke characteristic polynomials

$p$ $F_p(T)$
$2$ (\( 1 + 5 T + 8 T^{2} \))(\( 1 + 5 T + 8 T^{2} \))(\( 1 + 3 T + 8 T^{2} \))(\( 1 + 3 T + 8 T^{2} \))(\( 1 + 3 T + 8 T^{2} \))(\( 1 + 3 T + 8 T^{2} \))(\( 1 + 3 T + 8 T^{2} \))(\( 1 + 3 T + 8 T^{2} \))(\( 1 + T + 8 T^{2} \))(\( 1 + T + 8 T^{2} \))(\( 1 + T + 8 T^{2} \))(\( 1 + T + 8 T^{2} \))(\( 1 + T + 8 T^{2} \))(\( 1 + T + 8 T^{2} \))(\( 1 + 8 T^{2} \))(\( 1 - 3 T + 8 T^{2} \))(\( 1 - 4 T + 8 T^{2} \))(\( 1 - 4 T + 8 T^{2} \))(\( 1 - 4 T + 8 T^{2} \))(\( 1 - 5 T + 8 T^{2} \))(\( 1 + 8 T + 30 T^{2} + 64 T^{3} + 64 T^{4} \))(\( 1 + 3 T + 8 T^{2} + 24 T^{3} + 64 T^{4} \))(\( 1 + 2 T + 6 T^{2} + 16 T^{3} + 64 T^{4} \))(\( 1 + 2 T + 6 T^{2} + 16 T^{3} + 64 T^{4} \))(\( 1 + T + 12 T^{2} + 8 T^{3} + 64 T^{4} \))(\( 1 + T + 8 T^{3} + 64 T^{4} \))(\( 1 - T + 12 T^{2} - 8 T^{3} + 64 T^{4} \))(\( 1 - 2 T + 9 T^{2} - 16 T^{3} + 64 T^{4} \))(\( 1 - 4 T + 18 T^{2} - 32 T^{3} + 64 T^{4} \))(\( 1 - 4 T + 18 T^{2} - 32 T^{3} + 64 T^{4} \))(\( 1 - 4 T + 15 T^{2} - 32 T^{3} + 64 T^{4} \))(\( 1 - 6 T + 23 T^{2} - 48 T^{3} + 64 T^{4} \))(\( 1 - 6 T + 23 T^{2} - 48 T^{3} + 64 T^{4} \))(\( 1 - 7 T + 24 T^{2} - 56 T^{3} + 64 T^{4} \))(\( 1 + 3 T + 16 T^{2} + 34 T^{3} + 128 T^{4} + 192 T^{5} + 512 T^{6} \))(\( 1 + 3 T + 16 T^{2} + 34 T^{3} + 128 T^{4} + 192 T^{5} + 512 T^{6} \))(\( 1 + 2 T + 7 T^{2} + 28 T^{3} + 56 T^{4} + 128 T^{5} + 512 T^{6} \))(\( 1 - 2 T + 7 T^{2} - 28 T^{3} + 56 T^{4} - 128 T^{5} + 512 T^{6} \))(\( 1 - 3 T + 10 T^{2} - 18 T^{3} + 80 T^{4} - 192 T^{5} + 512 T^{6} \))(\( 1 + T - 3 T^{2} + 5 T^{3} + 20 T^{4} + 40 T^{5} - 192 T^{6} + 512 T^{7} + 4096 T^{8} \))(\( 1 + T - 3 T^{2} + 5 T^{3} + 20 T^{4} + 40 T^{5} - 192 T^{6} + 512 T^{7} + 4096 T^{8} \))(\( 1 - 6 T + 25 T^{2} - 72 T^{3} + 216 T^{4} - 576 T^{5} + 1600 T^{6} - 3072 T^{7} + 4096 T^{8} \))(\( 1 - 6 T + 25 T^{2} - 72 T^{3} + 216 T^{4} - 576 T^{5} + 1600 T^{6} - 3072 T^{7} + 4096 T^{8} \))(\( 1 + 3 T + 12 T^{2} + 26 T^{3} + 72 T^{4} + 92 T^{5} + 576 T^{6} + 1664 T^{7} + 6144 T^{8} + 12288 T^{9} + 32768 T^{10} \))(\( 1 + 3 T + 12 T^{2} + 26 T^{3} + 72 T^{4} + 92 T^{5} + 576 T^{6} + 1664 T^{7} + 6144 T^{8} + 12288 T^{9} + 32768 T^{10} \))(\( 1 + T + 3 T^{2} + 11 T^{3} + 40 T^{4} - 16 T^{5} + 320 T^{6} + 704 T^{7} + 1536 T^{8} + 4096 T^{9} + 32768 T^{10} \))(\( 1 + T + 3 T^{2} + 11 T^{3} + 40 T^{4} - 16 T^{5} + 320 T^{6} + 704 T^{7} + 1536 T^{8} + 4096 T^{9} + 32768 T^{10} \))(\( 1 - T + 10 T^{2} - 30 T^{3} + 84 T^{4} - 268 T^{5} + 672 T^{6} - 1920 T^{7} + 5120 T^{8} - 4096 T^{9} + 32768 T^{10} \))(\( 1 - T + 10 T^{2} - 30 T^{3} + 84 T^{4} - 268 T^{5} + 672 T^{6} - 1920 T^{7} + 5120 T^{8} - 4096 T^{9} + 32768 T^{10} \))(\( 1 + 14 T^{2} + 113 T^{4} + 976 T^{6} + 7232 T^{8} + 57344 T^{10} + 262144 T^{12} \))(\( 1 + 14 T^{2} + 113 T^{4} + 976 T^{6} + 7232 T^{8} + 57344 T^{10} + 262144 T^{12} \))(\( 1 - 2 T + 19 T^{2} - 52 T^{3} + 166 T^{4} - 584 T^{5} + 1220 T^{6} - 4672 T^{7} + 10624 T^{8} - 26624 T^{9} + 77824 T^{10} - 65536 T^{11} + 262144 T^{12} \))(\( 1 - 2 T + 19 T^{2} - 52 T^{3} + 166 T^{4} - 584 T^{5} + 1220 T^{6} - 4672 T^{7} + 10624 T^{8} - 26624 T^{9} + 77824 T^{10} - 65536 T^{11} + 262144 T^{12} \))(\( 1 + 4 T + 19 T^{2} + 60 T^{3} + 198 T^{4} + 606 T^{5} + 1772 T^{6} + 6064 T^{7} + 17272 T^{8} + 48512 T^{9} + 113408 T^{10} + 310272 T^{11} + 811008 T^{12} + 1966080 T^{13} + 4980736 T^{14} + 8388608 T^{15} + 16777216 T^{16} \))(\( 1 + 4 T + 19 T^{2} + 60 T^{3} + 198 T^{4} + 606 T^{5} + 1772 T^{6} + 6064 T^{7} + 17272 T^{8} + 48512 T^{9} + 113408 T^{10} + 310272 T^{11} + 811008 T^{12} + 1966080 T^{13} + 4980736 T^{14} + 8388608 T^{15} + 16777216 T^{16} \))(\( 1 + 2 T + 9 T^{2} + 32 T^{3} + 121 T^{4} + 354 T^{5} + 1097 T^{6} + 3096 T^{7} + 13080 T^{8} + 24768 T^{9} + 70208 T^{10} + 181248 T^{11} + 495616 T^{12} + 1048576 T^{13} + 2359296 T^{14} + 4194304 T^{15} + 16777216 T^{16} \))(\( 1 + 2 T + 9 T^{2} + 32 T^{3} + 121 T^{4} + 354 T^{5} + 1097 T^{6} + 3096 T^{7} + 13080 T^{8} + 24768 T^{9} + 70208 T^{10} + 181248 T^{11} + 495616 T^{12} + 1048576 T^{13} + 2359296 T^{14} + 4194304 T^{15} + 16777216 T^{16} \))(\( 1 - 4 T + 19 T^{2} - 60 T^{3} + 198 T^{4} - 606 T^{5} + 1772 T^{6} - 6064 T^{7} + 17272 T^{8} - 48512 T^{9} + 113408 T^{10} - 310272 T^{11} + 811008 T^{12} - 1966080 T^{13} + 4980736 T^{14} - 8388608 T^{15} + 16777216 T^{16} \))(\( 1 - 4 T + 19 T^{2} - 60 T^{3} + 198 T^{4} - 606 T^{5} + 1772 T^{6} - 6064 T^{7} + 17272 T^{8} - 48512 T^{9} + 113408 T^{10} - 310272 T^{11} + 811008 T^{12} - 1966080 T^{13} + 4980736 T^{14} - 8388608 T^{15} + 16777216 T^{16} \))(\( 1 + 34 T^{2} + 674 T^{4} + 9954 T^{6} + 118601 T^{8} + 1186128 T^{10} + 10172608 T^{12} + 75912192 T^{14} + 485789696 T^{16} + 2609381376 T^{18} + 11307843584 T^{20} + 36507222016 T^{22} + 68719476736 T^{24} \))(\( 1 + 34 T^{2} + 674 T^{4} + 9954 T^{6} + 118601 T^{8} + 1186128 T^{10} + 10172608 T^{12} + 75912192 T^{14} + 485789696 T^{16} + 2609381376 T^{18} + 11307843584 T^{20} + 36507222016 T^{22} + 68719476736 T^{24} \))
$3$ 1
$5$ (\( 1 + 5 T \))(\( 1 - 5 T \))(\( 1 + 5 T \))(\( 1 + 5 T \))(\( 1 + 5 T \))(\( 1 - 5 T \))(\( 1 - 5 T \))(\( 1 - 5 T \))(\( 1 + 5 T \))(\( 1 + 5 T \))(\( 1 + 5 T \))(\( 1 - 5 T \))(\( 1 - 5 T \))(\( 1 - 5 T \))(\( 1 - 5 T \))(\( 1 + 5 T \))(\( 1 + 5 T \))(\( 1 + 5 T \))(\( 1 - 5 T \))(\( 1 - 5 T \))(\( ( 1 + 5 T )^{2} \))(\( ( 1 + 5 T )^{2} \))(\( ( 1 + 5 T )^{2} \))(\( ( 1 - 5 T )^{2} \))(\( ( 1 - 5 T )^{2} \))(\( ( 1 - 5 T )^{2} \))(\( ( 1 + 5 T )^{2} \))(\( ( 1 - 5 T )^{2} \))(\( ( 1 + 5 T )^{2} \))(\( ( 1 - 5 T )^{2} \))(\( ( 1 + 5 T )^{2} \))(\( ( 1 + 5 T )^{2} \))(\( ( 1 - 5 T )^{2} \))(\( ( 1 + 5 T )^{2} \))(\( ( 1 + 5 T )^{3} \))(\( ( 1 - 5 T )^{3} \))(\( ( 1 - 5 T )^{3} \))(\( ( 1 + 5 T )^{3} \))(\( ( 1 - 5 T )^{3} \))(\( ( 1 + 5 T )^{4} \))(\( ( 1 - 5 T )^{4} \))(\( ( 1 + 5 T )^{4} \))(\( ( 1 - 5 T )^{4} \))(\( ( 1 + 5 T )^{5} \))(\( ( 1 - 5 T )^{5} \))(\( ( 1 + 5 T )^{5} \))(\( ( 1 - 5 T )^{5} \))(\( ( 1 + 5 T )^{5} \))(\( ( 1 - 5 T )^{5} \))(\( ( 1 + 5 T )^{6} \))(\( ( 1 - 5 T )^{6} \))(\( ( 1 + 5 T )^{6} \))(\( ( 1 - 5 T )^{6} \))(\( ( 1 + 5 T )^{8} \))(\( ( 1 - 5 T )^{8} \))(\( ( 1 + 5 T )^{8} \))(\( ( 1 - 5 T )^{8} \))(\( ( 1 + 5 T )^{8} \))(\( ( 1 - 5 T )^{8} \))(\( ( 1 + 5 T )^{12} \))(\( ( 1 - 5 T )^{12} \))
$7$ 1
$11$ (\( 1 + 50 T + 1331 T^{2} \))(\( 1 + 12 T + 1331 T^{2} \))(\( 1 - 24 T + 1331 T^{2} \))(\( 1 - 45 T + 1331 T^{2} \))(\( 1 - 45 T + 1331 T^{2} \))(\( 1 + 60 T + 1331 T^{2} \))(\( 1 - 45 T + 1331 T^{2} \))(\( 1 - 45 T + 1331 T^{2} \))(\( 1 + 12 T + 1331 T^{2} \))(\( 1 + 10 T + 1331 T^{2} \))(\( 1 - 44 T + 1331 T^{2} \))(\( 1 + 52 T + 1331 T^{2} \))(\( 1 + 10 T + 1331 T^{2} \))(\( 1 - 44 T + 1331 T^{2} \))(\( 1 + 42 T + 1331 T^{2} \))(\( 1 - 60 T + 1331 T^{2} \))(\( 1 + 32 T + 1331 T^{2} \))(\( 1 - 10 T + 1331 T^{2} \))(\( 1 - 10 T + 1331 T^{2} \))(\( 1 - 50 T + 1331 T^{2} \))(\( 1 - 14 T + 663 T^{2} - 18634 T^{3} + 1771561 T^{4} \))(\( 1 + 62 T + 3582 T^{2} + 82522 T^{3} + 1771561 T^{4} \))(\( 1 + 66 T + 3575 T^{2} + 87846 T^{3} + 1771561 T^{4} \))(\( 1 + 66 T + 3575 T^{2} + 87846 T^{3} + 1771561 T^{4} \))(\( 1 - 4 T + 2598 T^{2} - 5324 T^{3} + 1771561 T^{4} \))(\( 1 - 22 T + 2718 T^{2} - 29282 T^{3} + 1771561 T^{4} \))(\( 1 + 4 T + 2598 T^{2} + 5324 T^{3} + 1771561 T^{4} \))(\( 1 - 16 T - 474 T^{2} - 21296 T^{3} + 1771561 T^{4} \))(\( 1 - 32 T + 30 T^{2} - 42592 T^{3} + 1771561 T^{4} \))(\( 1 - 32 T + 30 T^{2} - 42592 T^{3} + 1771561 T^{4} \))(\( 1 - 92 T + 4758 T^{2} - 122452 T^{3} + 1771561 T^{4} \))(\( 1 + 28 T + 2658 T^{2} + 37268 T^{3} + 1771561 T^{4} \))(\( 1 + 28 T + 2658 T^{2} + 37268 T^{3} + 1771561 T^{4} \))(\( 1 - 26 T + 2406 T^{2} - 34606 T^{3} + 1771561 T^{4} \))(\( 1 - T + 3485 T^{2} - 6442 T^{3} + 4638535 T^{4} - 1771561 T^{5} + 2357947691 T^{6} \))(\( 1 - T + 3485 T^{2} - 6442 T^{3} + 4638535 T^{4} - 1771561 T^{5} + 2357947691 T^{6} \))(\( 1 - 20 T + 1781 T^{2} - 21080 T^{3} + 2370511 T^{4} - 35431220 T^{5} + 2357947691 T^{6} \))(\( 1 + 20 T + 1781 T^{2} + 21080 T^{3} + 2370511 T^{4} + 35431220 T^{5} + 2357947691 T^{6} \))(\( 1 - 74 T + 5570 T^{2} - 204680 T^{3} + 7413670 T^{4} - 131095514 T^{5} + 2357947691 T^{6} \))(\( 1 + 60 T + 3656 T^{2} + 122940 T^{3} + 5697470 T^{4} + 163633140 T^{5} + 6476827016 T^{6} + 141476861460 T^{7} + 3138428376721 T^{8} \))(\( 1 + 60 T + 3656 T^{2} + 122940 T^{3} + 5697470 T^{4} + 163633140 T^{5} + 6476827016 T^{6} + 141476861460 T^{7} + 3138428376721 T^{8} \))(\( 1 - 24 T + 5266 T^{2} - 93024 T^{3} + 10464162 T^{4} - 123814944 T^{5} + 9329040226 T^{6} - 56590744584 T^{7} + 3138428376721 T^{8} \))(\( 1 - 24 T + 5266 T^{2} - 93024 T^{3} + 10464162 T^{4} - 123814944 T^{5} + 9329040226 T^{6} - 56590744584 T^{7} + 3138428376721 T^{8} \))(\( 1 + 43 T + 2867 T^{2} + 153992 T^{3} + 7132578 T^{4} + 222370878 T^{5} + 9493461318 T^{6} + 272806221512 T^{7} + 6760236030097 T^{8} + 134952420199003 T^{9} + 4177248169415651 T^{10} \))(\( 1 + 43 T + 2867 T^{2} + 153992 T^{3} + 7132578 T^{4} + 222370878 T^{5} + 9493461318 T^{6} + 272806221512 T^{7} + 6760236030097 T^{8} + 134952420199003 T^{9} + 4177248169415651 T^{10} \))(\( 1 + 47 T + 4499 T^{2} + 140260 T^{3} + 8055918 T^{4} + 207867546 T^{5} + 10722426858 T^{6} + 248479145860 T^{7} + 10608406661809 T^{8} + 147506133705887 T^{9} + 4177248169415651 T^{10} \))(\( 1 + 47 T + 4499 T^{2} + 140260 T^{3} + 8055918 T^{4} + 207867546 T^{5} + 10722426858 T^{6} + 248479145860 T^{7} + 10608406661809 T^{8} + 147506133705887 T^{9} + 4177248169415651 T^{10} \))(\( 1 - 33 T + 1759 T^{2} - 43884 T^{3} + 2067974 T^{4} + 1513086 T^{5} + 2752473394 T^{6} - 77743182924 T^{7} + 4147629988469 T^{8} - 103568136431793 T^{9} + 4177248169415651 T^{10} \))(\( 1 - 33 T + 1759 T^{2} - 43884 T^{3} + 2067974 T^{4} + 1513086 T^{5} + 2752473394 T^{6} - 77743182924 T^{7} + 4147629988469 T^{8} - 103568136431793 T^{9} + 4177248169415651 T^{10} \))(\( 1 + 4474 T^{2} + 10690519 T^{4} + 16986506732 T^{6} + 18938906530159 T^{8} + 14041328557449754 T^{10} + 5559917313492231481 T^{12} \))(\( 1 + 4474 T^{2} + 10690519 T^{4} + 16986506732 T^{6} + 18938906530159 T^{8} + 14041328557449754 T^{10} + 5559917313492231481 T^{12} \))(\( 1 - 16 T + 812 T^{2} + 15300 T^{3} + 2567184 T^{4} + 56858680 T^{5} - 552711974 T^{6} + 75678903080 T^{7} + 4547923054224 T^{8} + 36076599672300 T^{9} + 2548403841897452 T^{10} - 66835970710650416 T^{11} + 5559917313492231481 T^{12} \))(\( 1 - 16 T + 812 T^{2} + 15300 T^{3} + 2567184 T^{4} + 56858680 T^{5} - 552711974 T^{6} + 75678903080 T^{7} + 4547923054224 T^{8} + 36076599672300 T^{9} + 2548403841897452 T^{10} - 66835970710650416 T^{11} + 5559917313492231481 T^{12} \))(\( 1 + 100 T + 10817 T^{2} + 750656 T^{3} + 50136998 T^{4} + 2642402548 T^{5} + 131858099863 T^{6} + 5525667382072 T^{7} + 218299521302022 T^{8} + 7354663285537832 T^{9} + 233594667251396143 T^{10} + 6230646986749116668 T^{11} + \)\(15\!\cdots\!58\)\( T^{12} + \)\(31\!\cdots\!56\)\( T^{13} + \)\(60\!\cdots\!77\)\( T^{14} + \)\(74\!\cdots\!00\)\( T^{15} + \)\(98\!\cdots\!41\)\( T^{16} \))(\( 1 + 100 T + 10817 T^{2} + 750656 T^{3} + 50136998 T^{4} + 2642402548 T^{5} + 131858099863 T^{6} + 5525667382072 T^{7} + 218299521302022 T^{8} + 7354663285537832 T^{9} + 233594667251396143 T^{10} + 6230646986749116668 T^{11} + \)\(15\!\cdots\!58\)\( T^{12} + \)\(31\!\cdots\!56\)\( T^{13} + \)\(60\!\cdots\!77\)\( T^{14} + \)\(74\!\cdots\!00\)\( T^{15} + \)\(98\!\cdots\!41\)\( T^{16} \))(\( 1 + 64 T + 7390 T^{2} + 291704 T^{3} + 19385936 T^{4} + 443210952 T^{5} + 24402231666 T^{6} + 230354831792 T^{7} + 24836267555390 T^{8} + 306602281115152 T^{9} + 43230041932450626 T^{10} + 1045068240894311832 T^{11} + 60841371651697195856 T^{12} + \)\(12\!\cdots\!04\)\( T^{13} + \)\(41\!\cdots\!90\)\( T^{14} + \)\(47\!\cdots\!04\)\( T^{15} + \)\(98\!\cdots\!41\)\( T^{16} \))(\( 1 + 64 T + 7390 T^{2} + 291704 T^{3} + 19385936 T^{4} + 443210952 T^{5} + 24402231666 T^{6} + 230354831792 T^{7} + 24836267555390 T^{8} + 306602281115152 T^{9} + 43230041932450626 T^{10} + 1045068240894311832 T^{11} + 60841371651697195856 T^{12} + \)\(12\!\cdots\!04\)\( T^{13} + \)\(41\!\cdots\!90\)\( T^{14} + \)\(47\!\cdots\!04\)\( T^{15} + \)\(98\!\cdots\!41\)\( T^{16} \))(\( 1 - 100 T + 10817 T^{2} - 750656 T^{3} + 50136998 T^{4} - 2642402548 T^{5} + 131858099863 T^{6} - 5525667382072 T^{7} + 218299521302022 T^{8} - 7354663285537832 T^{9} + 233594667251396143 T^{10} - 6230646986749116668 T^{11} + \)\(15\!\cdots\!58\)\( T^{12} - \)\(31\!\cdots\!56\)\( T^{13} + \)\(60\!\cdots\!77\)\( T^{14} - \)\(74\!\cdots\!00\)\( T^{15} + \)\(98\!\cdots\!41\)\( T^{16} \))(\( 1 - 100 T + 10817 T^{2} - 750656 T^{3} + 50136998 T^{4} - 2642402548 T^{5} + 131858099863 T^{6} - 5525667382072 T^{7} + 218299521302022 T^{8} - 7354663285537832 T^{9} + 233594667251396143 T^{10} - 6230646986749116668 T^{11} + \)\(15\!\cdots\!58\)\( T^{12} - \)\(31\!\cdots\!56\)\( T^{13} + \)\(60\!\cdots\!77\)\( T^{14} - \)\(74\!\cdots\!00\)\( T^{15} + \)\(98\!\cdots\!41\)\( T^{16} \))(\( 1 + 5040 T^{2} + 12601582 T^{4} + 27481557808 T^{6} + 56243250828527 T^{8} + 90112485028941984 T^{10} + \)\(12\!\cdots\!44\)\( T^{12} + \)\(15\!\cdots\!24\)\( T^{14} + \)\(17\!\cdots\!67\)\( T^{16} + \)\(15\!\cdots\!48\)\( T^{18} + \)\(12\!\cdots\!62\)\( T^{20} + \)\(87\!\cdots\!40\)\( T^{22} + \)\(30\!\cdots\!61\)\( T^{24} \))(\( 1 + 5040 T^{2} + 12601582 T^{4} + 27481557808 T^{6} + 56243250828527 T^{8} + 90112485028941984 T^{10} + \)\(12\!\cdots\!44\)\( T^{12} + \)\(15\!\cdots\!24\)\( T^{14} + \)\(17\!\cdots\!67\)\( T^{16} + \)\(15\!\cdots\!48\)\( T^{18} + \)\(12\!\cdots\!62\)\( T^{20} + \)\(87\!\cdots\!40\)\( T^{22} + \)\(30\!\cdots\!61\)\( T^{24} \))
$13$ (\( 1 - 20 T + 2197 T^{2} \))(\( 1 + 30 T + 2197 T^{2} \))(\( 1 + 74 T + 2197 T^{2} \))(\( 1 - 31 T + 2197 T^{2} \))(\( 1 - 59 T + 2197 T^{2} \))(\( 1 + 38 T + 2197 T^{2} \))(\( 1 + 59 T + 2197 T^{2} \))(\( 1 + 31 T + 2197 T^{2} \))(\( 1 - 78 T + 2197 T^{2} \))(\( 1 + 6 T + 2197 T^{2} \))(\( 1 + 6 T + 2197 T^{2} \))(\( 1 + 22 T + 2197 T^{2} \))(\( 1 - 6 T + 2197 T^{2} \))(\( 1 - 6 T + 2197 T^{2} \))(\( 1 + 20 T + 2197 T^{2} \))(\( 1 + 38 T + 2197 T^{2} \))(\( 1 - 38 T + 2197 T^{2} \))(\( 1 - 24 T + 2197 T^{2} \))(\( 1 + 24 T + 2197 T^{2} \))(\( 1 - 20 T + 2197 T^{2} \))(\( 1 + 50 T + 4987 T^{2} + 109850 T^{3} + 4826809 T^{4} \))(\( 1 - 6 T + 3378 T^{2} - 13182 T^{3} + 4826809 T^{4} \))(\( 1 - 10 T + 19 T^{2} - 21970 T^{3} + 4826809 T^{4} \))(\( 1 + 10 T + 19 T^{2} + 21970 T^{3} + 4826809 T^{4} \))(\( 1 - 22 T + 2458 T^{2} - 48334 T^{3} + 4826809 T^{4} \))(\( 1 - 22 T + 4450 T^{2} - 48334 T^{3} + 4826809 T^{4} \))(\( 1 - 22 T + 2458 T^{2} - 48334 T^{3} + 4826809 T^{4} \))(\( 1 - 76 T + 5806 T^{2} - 166972 T^{3} + 4826809 T^{4} \))(\( 1 + 14 T + 3091 T^{2} + 30758 T^{3} + 4826809 T^{4} \))(\( 1 - 14 T + 3091 T^{2} - 30758 T^{3} + 4826809 T^{4} \))(\( 1 + 8 T - 2810 T^{2} + 17576 T^{3} + 4826809 T^{4} \))(\( 1 + 36 T + 4518 T^{2} + 79092 T^{3} + 4826809 T^{4} \))(\( 1 - 36 T + 4518 T^{2} - 79092 T^{3} + 4826809 T^{4} \))(\( 1 + 14 T + 2386 T^{2} + 30758 T^{3} + 4826809 T^{4} \))(\( 1 + 79 T + 6542 T^{2} + 346439 T^{3} + 14372774 T^{4} + 381317911 T^{5} + 10604499373 T^{6} \))(\( 1 - 79 T + 6542 T^{2} - 346439 T^{3} + 14372774 T^{4} - 381317911 T^{5} + 10604499373 T^{6} \))(\( 1 + 4843 T^{2} + 17328 T^{3} + 10640071 T^{4} + 10604499373 T^{6} \))(\( 1 + 4843 T^{2} + 17328 T^{3} + 10640071 T^{4} + 10604499373 T^{6} \))(\( 1 + 44 T + 3100 T^{2} + 238206 T^{3} + 6810700 T^{4} + 212379596 T^{5} + 10604499373 T^{6} \))(\( 1 - 14 T + 3072 T^{2} + 52086 T^{3} + 3548974 T^{4} + 114432942 T^{5} + 14827957248 T^{6} - 148462991222 T^{7} + 23298085122481 T^{8} \))(\( 1 + 14 T + 3072 T^{2} - 52086 T^{3} + 3548974 T^{4} - 114432942 T^{5} + 14827957248 T^{6} + 148462991222 T^{7} + 23298085122481 T^{8} \))(\( 1 + 7692 T^{2} + 3072 T^{3} + 24146054 T^{4} + 6749184 T^{5} + 37127814828 T^{6} + 23298085122481 T^{8} \))(\( 1 + 7692 T^{2} - 3072 T^{3} + 24146054 T^{4} - 6749184 T^{5} + 37127814828 T^{6} + 23298085122481 T^{8} \))(\( 1 - 123 T + 9911 T^{2} - 514334 T^{3} + 26762121 T^{4} - 1198576829 T^{5} + 58796379837 T^{6} - 2482591980206 T^{7} + 105101193285803 T^{8} - 2865664470065163 T^{9} + 51185893014090757 T^{10} \))(\( 1 + 123 T + 9911 T^{2} + 514334 T^{3} + 26762121 T^{4} + 1198576829 T^{5} + 58796379837 T^{6} + 2482591980206 T^{7} + 105101193285803 T^{8} + 2865664470065163 T^{9} + 51185893014090757 T^{10} \))(\( 1 + T + 3333 T^{2} + 85816 T^{3} + 12357966 T^{4} + 60104190 T^{5} + 27150451302 T^{6} + 414217441144 T^{7} + 35344796410209 T^{8} + 23298085122481 T^{9} + 51185893014090757 T^{10} \))(\( 1 - T + 3333 T^{2} - 85816 T^{3} + 12357966 T^{4} - 60104190 T^{5} + 27150451302 T^{6} - 414217441144 T^{7} + 35344796410209 T^{8} - 23298085122481 T^{9} + 51185893014090757 T^{10} \))(\( 1 - 23 T + 5115 T^{2} - 67458 T^{3} + 14193793 T^{4} - 48898957 T^{5} + 31183763221 T^{6} - 325606881522 T^{7} + 54242014292895 T^{8} - 535855957817063 T^{9} + 51185893014090757 T^{10} \))(\( 1 + 23 T + 5115 T^{2} + 67458 T^{3} + 14193793 T^{4} + 48898957 T^{5} + 31183763221 T^{6} + 325606881522 T^{7} + 54242014292895 T^{8} + 535855957817063 T^{9} + 51185893014090757 T^{10} \))(\( 1 + 6438 T^{2} + 27862663 T^{4} + 71083547284 T^{6} + 134487752532367 T^{8} + 149993072018532678 T^{10} + \)\(11\!\cdots\!29\)\( T^{12} \))(\( 1 + 6438 T^{2} + 27862663 T^{4} + 71083547284 T^{6} + 134487752532367 T^{8} + 149993072018532678 T^{10} + \)\(11\!\cdots\!29\)\( T^{12} \))(\( 1 + 168 T + 18956 T^{2} + 1510028 T^{3} + 104466904 T^{4} + 6040563440 T^{5} + 309756529486 T^{6} + 13271117877680 T^{7} + 504241792429336 T^{8} + 16013090979212444 T^{9} + 441638501581749836 T^{10} + 8599230026367247176 T^{11} + \)\(11\!\cdots\!29\)\( T^{12} \))(\( 1 - 168 T + 18956 T^{2} - 1510028 T^{3} + 104466904 T^{4} - 6040563440 T^{5} + 309756529486 T^{6} - 13271117877680 T^{7} + 504241792429336 T^{8} - 16013090979212444 T^{9} + 441638501581749836 T^{10} - 8599230026367247176 T^{11} + \)\(11\!\cdots\!29\)\( T^{12} \))(\( 1 - 102 T + 11556 T^{2} - 701920 T^{3} + 46277814 T^{4} - 2243030222 T^{5} + 122614367556 T^{6} - 5767551066654 T^{7} + 288995000101339 T^{8} - 12671309693438838 T^{9} + 591836132848608804 T^{10} - 23786212582819050806 T^{11} + \)\(10\!\cdots\!34\)\( T^{12} - \)\(35\!\cdots\!40\)\( T^{13} + \)\(12\!\cdots\!24\)\( T^{14} - \)\(25\!\cdots\!26\)\( T^{15} + \)\(54\!\cdots\!61\)\( T^{16} \))(\( 1 + 102 T + 11556 T^{2} + 701920 T^{3} + 46277814 T^{4} + 2243030222 T^{5} + 122614367556 T^{6} + 5767551066654 T^{7} + 288995000101339 T^{8} + 12671309693438838 T^{9} + 591836132848608804 T^{10} + 23786212582819050806 T^{11} + \)\(10\!\cdots\!34\)\( T^{12} + \)\(35\!\cdots\!40\)\( T^{13} + \)\(12\!\cdots\!24\)\( T^{14} + \)\(25\!\cdots\!26\)\( T^{15} + \)\(54\!\cdots\!61\)\( T^{16} \))(\( 1 + 7112 T^{2} + 36160 T^{3} + 19781132 T^{4} + 573930304 T^{5} + 28105657080 T^{6} + 2910696625280 T^{7} + 36990866772038 T^{8} + 6394800485740160 T^{9} + 135660638544657720 T^{10} + 6086243548913699392 T^{11} + \)\(46\!\cdots\!92\)\( T^{12} + \)\(18\!\cdots\!20\)\( T^{13} + \)\(79\!\cdots\!48\)\( T^{14} + \)\(54\!\cdots\!61\)\( T^{16} \))(\( 1 + 7112 T^{2} - 36160 T^{3} + 19781132 T^{4} - 573930304 T^{5} + 28105657080 T^{6} - 2910696625280 T^{7} + 36990866772038 T^{8} - 6394800485740160 T^{9} + 135660638544657720 T^{10} - 6086243548913699392 T^{11} + \)\(46\!\cdots\!92\)\( T^{12} - \)\(18\!\cdots\!20\)\( T^{13} + \)\(79\!\cdots\!48\)\( T^{14} + \)\(54\!\cdots\!61\)\( T^{16} \))(\( 1 + 102 T + 11556 T^{2} + 701920 T^{3} + 46277814 T^{4} + 2243030222 T^{5} + 122614367556 T^{6} + 5767551066654 T^{7} + 288995000101339 T^{8} + 12671309693438838 T^{9} + 591836132848608804 T^{10} + 23786212582819050806 T^{11} + \)\(10\!\cdots\!34\)\( T^{12} + \)\(35\!\cdots\!40\)\( T^{13} + \)\(12\!\cdots\!24\)\( T^{14} + \)\(25\!\cdots\!26\)\( T^{15} + \)\(54\!\cdots\!61\)\( T^{16} \))(\( 1 - 102 T + 11556 T^{2} - 701920 T^{3} + 46277814 T^{4} - 2243030222 T^{5} + 122614367556 T^{6} - 5767551066654 T^{7} + 288995000101339 T^{8} - 12671309693438838 T^{9} + 591836132848608804 T^{10} - 23786212582819050806 T^{11} + \)\(10\!\cdots\!34\)\( T^{12} - \)\(35\!\cdots\!40\)\( T^{13} + \)\(12\!\cdots\!24\)\( T^{14} - \)\(25\!\cdots\!26\)\( T^{15} + \)\(54\!\cdots\!61\)\( T^{16} \))(\( 1 + 11524 T^{2} + 68905938 T^{4} + 270515497172 T^{6} + 787319449377983 T^{8} + 1880847810201824008 T^{10} + \)\(41\!\cdots\!92\)\( T^{12} + \)\(90\!\cdots\!72\)\( T^{14} + \)\(18\!\cdots\!23\)\( T^{16} + \)\(30\!\cdots\!88\)\( T^{18} + \)\(37\!\cdots\!18\)\( T^{20} + \)\(30\!\cdots\!76\)\( T^{22} + \)\(12\!\cdots\!41\)\( T^{24} \))(\( 1 + 11524 T^{2} + 68905938 T^{4} + 270515497172 T^{6} + 787319449377983 T^{8} + 1880847810201824008 T^{10} + \)\(41\!\cdots\!92\)\( T^{12} + \)\(90\!\cdots\!72\)\( T^{14} + \)\(18\!\cdots\!23\)\( T^{16} + \)\(30\!\cdots\!88\)\( T^{18} + \)\(37\!\cdots\!18\)\( T^{20} + \)\(30\!\cdots\!76\)\( T^{22} + \)\(12\!\cdots\!41\)\( T^{24} \))
$17$ (\( 1 + 10 T + 4913 T^{2} \))(\( 1 + 134 T + 4913 T^{2} \))(\( 1 - 54 T + 4913 T^{2} \))(\( 1 - 96 T + 4913 T^{2} \))(\( 1 - 54 T + 4913 T^{2} \))(\( 1 + 84 T + 4913 T^{2} \))(\( 1 + 54 T + 4913 T^{2} \))(\( 1 + 96 T + 4913 T^{2} \))(\( 1 + 94 T + 4913 T^{2} \))(\( 1 - 84 T + 4913 T^{2} \))(\( 1 + 24 T + 4913 T^{2} \))(\( 1 + 14 T + 4913 T^{2} \))(\( 1 + 84 T + 4913 T^{2} \))(\( 1 - 24 T + 4913 T^{2} \))(\( 1 - 66 T + 4913 T^{2} \))(\( 1 - 84 T + 4913 T^{2} \))(\( 1 - 26 T + 4913 T^{2} \))(\( 1 - 54 T + 4913 T^{2} \))(\( 1 + 54 T + 4913 T^{2} \))(\( 1 - 10 T + 4913 T^{2} \))(\( 1 + 50 T + 6579 T^{2} + 245650 T^{3} + 24137569 T^{4} \))(\( 1 - 40 T + 8750 T^{2} - 196520 T^{3} + 24137569 T^{4} \))(\( 1 + 70 T + 6651 T^{2} + 343910 T^{3} + 24137569 T^{4} \))(\( 1 - 70 T + 6651 T^{2} - 343910 T^{3} + 24137569 T^{4} \))(\( 1 + 58 T + 7794 T^{2} + 284954 T^{3} + 24137569 T^{4} \))(\( 1 - 116 T + 9030 T^{2} - 569908 T^{3} + 24137569 T^{4} \))(\( 1 - 58 T + 7794 T^{2} - 284954 T^{3} + 24137569 T^{4} \))(\( 1 + 124 T + 13638 T^{2} + 609212 T^{3} + 24137569 T^{4} \))(\( 1 + 20 T + 7614 T^{2} + 98260 T^{3} + 24137569 T^{4} \))(\( 1 - 20 T + 7614 T^{2} - 98260 T^{3} + 24137569 T^{4} \))(\( 1 + 44 T + 630 T^{2} + 216172 T^{3} + 24137569 T^{4} \))(\( 1 - 76 T + 5438 T^{2} - 373388 T^{3} + 24137569 T^{4} \))(\( 1 + 76 T + 5438 T^{2} + 373388 T^{3} + 24137569 T^{4} \))(\( 1 - 16 T + 6558 T^{2} - 78608 T^{3} + 24137569 T^{4} \))(\( 1 - 72 T + 14635 T^{2} - 688048 T^{3} + 71901755 T^{4} - 1737904968 T^{5} + 118587876497 T^{6} \))(\( 1 + 72 T + 14635 T^{2} + 688048 T^{3} + 71901755 T^{4} + 1737904968 T^{5} + 118587876497 T^{6} \))(\( 1 - 234 T + 30351 T^{2} - 2581612 T^{3} + 149114463 T^{4} - 5648191146 T^{5} + 118587876497 T^{6} \))(\( 1 + 234 T + 30351 T^{2} + 2581612 T^{3} + 149114463 T^{4} + 5648191146 T^{5} + 118587876497 T^{6} \))(\( 1 + 52 T + 2992 T^{2} + 454246 T^{3} + 14699696 T^{4} + 1255153588 T^{5} + 118587876497 T^{6} \))(\( 1 + 46 T + 13600 T^{2} + 358386 T^{3} + 83231870 T^{4} + 1760750418 T^{5} + 328270938400 T^{6} + 5455042318862 T^{7} + 582622237229761 T^{8} \))(\( 1 - 46 T + 13600 T^{2} - 358386 T^{3} + 83231870 T^{4} - 1760750418 T^{5} + 328270938400 T^{6} - 5455042318862 T^{7} + 582622237229761 T^{8} \))(\( 1 + 88 T + 18122 T^{2} + 1083544 T^{3} + 128638210 T^{4} + 5323451672 T^{5} + 437421025418 T^{6} + 10435733131736 T^{7} + 582622237229761 T^{8} \))(\( 1 - 88 T + 18122 T^{2} - 1083544 T^{3} + 128638210 T^{4} - 5323451672 T^{5} + 437421025418 T^{6} - 10435733131736 T^{7} + 582622237229761 T^{8} \))(\( 1 + 124 T + 28769 T^{2} + 2442344 T^{3} + 301578138 T^{4} + 17991840552 T^{5} + 1481653391994 T^{6} + 58952246821736 T^{7} + 3411654618942193 T^{8} + 72245157416490364 T^{9} + 2862423051509815793 T^{10} \))(\( 1 - 124 T + 28769 T^{2} - 2442344 T^{3} + 301578138 T^{4} - 17991840552 T^{5} + 1481653391994 T^{6} - 58952246821736 T^{7} + 3411654618942193 T^{8} - 72245157416490364 T^{9} + 2862423051509815793 T^{10} \))(\( 1 + 2 T + 14265 T^{2} + 83744 T^{3} + 105021750 T^{4} + 715660860 T^{5} + 515971857750 T^{6} + 2021376578336 T^{7} + 1691656058229705 T^{8} + 1165244474459522 T^{9} + 2862423051509815793 T^{10} \))(\( 1 - 2 T + 14265 T^{2} - 83744 T^{3} + 105021750 T^{4} - 715660860 T^{5} + 515971857750 T^{6} - 2021376578336 T^{7} + 1691656058229705 T^{8} - 1165244474459522 T^{9} + 2862423051509815793 T^{10} \))(\( 1 + 136 T + 869 T^{2} - 571504 T^{3} + 27196038 T^{4} + 6419222928 T^{5} + 133614134694 T^{6} - 13794717233776 T^{7} + 103052864675893 T^{8} + 79236624263247496 T^{9} + 2862423051509815793 T^{10} \))(\( 1 - 136 T + 869 T^{2} + 571504 T^{3} + 27196038 T^{4} - 6419222928 T^{5} + 133614134694 T^{6} + 13794717233776 T^{7} + 103052864675893 T^{8} - 79236624263247496 T^{9} + 2862423051509815793 T^{10} \))(\( ( 1 + 22 T + 8879 T^{2} - 428 T^{3} + 43622527 T^{4} + 531026518 T^{5} + 118587876497 T^{6} )^{2} \))(\( ( 1 - 22 T + 8879 T^{2} + 428 T^{3} + 43622527 T^{4} - 531026518 T^{5} + 118587876497 T^{6} )^{2} \))(\( 1 + 4 T + 14086 T^{2} - 160336 T^{3} + 115923452 T^{4} - 1228657188 T^{5} + 692428906716 T^{6} - 6036392764644 T^{7} + 2798110321368188 T^{8} - 19013905766022992 T^{9} + 8206816833618413446 T^{10} + 11449692206039263172 T^{11} + \)\(14\!\cdots\!09\)\( T^{12} \))(\( 1 - 4 T + 14086 T^{2} + 160336 T^{3} + 115923452 T^{4} + 1228657188 T^{5} + 692428906716 T^{6} + 6036392764644 T^{7} + 2798110321368188 T^{8} + 19013905766022992 T^{9} + 8206816833618413446 T^{10} - 11449692206039263172 T^{11} + \)\(14\!\cdots\!09\)\( T^{12} \))(\( 1 - 56 T + 18992 T^{2} - 1417428 T^{3} + 225821524 T^{4} - 14720659468 T^{5} + 1839189465556 T^{6} - 105808662851192 T^{7} + 10378613682675710 T^{8} - 519837960587906296 T^{9} + 44393562628931073364 T^{10} - \)\(17\!\cdots\!96\)\( T^{11} + \)\(13\!\cdots\!64\)\( T^{12} - \)\(40\!\cdots\!04\)\( T^{13} + \)\(26\!\cdots\!28\)\( T^{14} - \)\(38\!\cdots\!52\)\( T^{15} + \)\(33\!\cdots\!21\)\( T^{16} \))(\( 1 + 56 T + 18992 T^{2} + 1417428 T^{3} + 225821524 T^{4} + 14720659468 T^{5} + 1839189465556 T^{6} + 105808662851192 T^{7} + 10378613682675710 T^{8} + 519837960587906296 T^{9} + 44393562628931073364 T^{10} + \)\(17\!\cdots\!96\)\( T^{11} + \)\(13\!\cdots\!64\)\( T^{12} + \)\(40\!\cdots\!04\)\( T^{13} + \)\(26\!\cdots\!28\)\( T^{14} + \)\(38\!\cdots\!52\)\( T^{15} + \)\(33\!\cdots\!21\)\( T^{16} \))(\( 1 + 48 T + 20222 T^{2} + 1284544 T^{3} + 235047760 T^{4} + 14839698592 T^{5} + 1866252142114 T^{6} + 109319257675120 T^{7} + 10615188543611038 T^{8} + 537085512957864560 T^{9} + 45046789851674480866 T^{10} + \)\(17\!\cdots\!24\)\( T^{11} + \)\(13\!\cdots\!60\)\( T^{12} + \)\(36\!\cdots\!92\)\( T^{13} + \)\(28\!\cdots\!98\)\( T^{14} + \)\(33\!\cdots\!16\)\( T^{15} + \)\(33\!\cdots\!21\)\( T^{16} \))(\( 1 - 48 T + 20222 T^{2} - 1284544 T^{3} + 235047760 T^{4} - 14839698592 T^{5} + 1866252142114 T^{6} - 109319257675120 T^{7} + 10615188543611038 T^{8} - 537085512957864560 T^{9} + 45046789851674480866 T^{10} - \)\(17\!\cdots\!24\)\( T^{11} + \)\(13\!\cdots\!60\)\( T^{12} - \)\(36\!\cdots\!92\)\( T^{13} + \)\(28\!\cdots\!98\)\( T^{14} - \)\(33\!\cdots\!16\)\( T^{15} + \)\(33\!\cdots\!21\)\( T^{16} \))(\( 1 - 56 T + 18992 T^{2} - 1417428 T^{3} + 225821524 T^{4} - 14720659468 T^{5} + 1839189465556 T^{6} - 105808662851192 T^{7} + 10378613682675710 T^{8} - 519837960587906296 T^{9} + 44393562628931073364 T^{10} - \)\(17\!\cdots\!96\)\( T^{11} + \)\(13\!\cdots\!64\)\( T^{12} - \)\(40\!\cdots\!04\)\( T^{13} + \)\(26\!\cdots\!28\)\( T^{14} - \)\(38\!\cdots\!52\)\( T^{15} + \)\(33\!\cdots\!21\)\( T^{16} \))(\( 1 + 56 T + 18992 T^{2} + 1417428 T^{3} + 225821524 T^{4} + 14720659468 T^{5} + 1839189465556 T^{6} + 105808662851192 T^{7} + 10378613682675710 T^{8} + 519837960587906296 T^{9} + 44393562628931073364 T^{10} + \)\(17\!\cdots\!96\)\( T^{11} + \)\(13\!\cdots\!64\)\( T^{12} + \)\(40\!\cdots\!04\)\( T^{13} + \)\(26\!\cdots\!28\)\( T^{14} + \)\(38\!\cdots\!52\)\( T^{15} + \)\(33\!\cdots\!21\)\( T^{16} \))(\( ( 1 - 68 T + 16480 T^{2} - 896212 T^{3} + 111188039 T^{4} - 5391648552 T^{5} + 530346283152 T^{6} - 26489169335976 T^{7} + 2683808963337191 T^{8} - 106279877971129364 T^{9} + 9601614469546461280 T^{10} - \)\(19\!\cdots\!24\)\( T^{11} + \)\(14\!\cdots\!09\)\( T^{12} )^{2} \))(\( ( 1 + 68 T + 16480 T^{2} + 896212 T^{3} + 111188039 T^{4} + 5391648552 T^{5} + 530346283152 T^{6} + 26489169335976 T^{7} + 2683808963337191 T^{8} + 106279877971129364 T^{9} + 9601614469546461280 T^{10} + \)\(19\!\cdots\!24\)\( T^{11} + \)\(14\!\cdots\!09\)\( T^{12} )^{2} \))
$19$ (\( 1 - 44 T + 6859 T^{2} \))(\( 1 - 92 T + 6859 T^{2} \))(\( 1 - 124 T + 6859 T^{2} \))(\( 1 + 149 T + 6859 T^{2} \))(\( 1 + 121 T + 6859 T^{2} \))(\( 1 + 110 T + 6859 T^{2} \))(\( 1 - 121 T + 6859 T^{2} \))(\( 1 - 149 T + 6859 T^{2} \))(\( 1 + 40 T + 6859 T^{2} \))(\( 1 + 48 T + 6859 T^{2} \))(\( 1 - 114 T + 6859 T^{2} \))(\( 1 - 20 T + 6859 T^{2} \))(\( 1 - 48 T + 6859 T^{2} \))(\( 1 + 114 T + 6859 T^{2} \))(\( 1 + 38 T + 6859 T^{2} \))(\( 1 + 110 T + 6859 T^{2} \))(\( 1 + 100 T + 6859 T^{2} \))(\( 1 - 12 T + 6859 T^{2} \))(\( 1 + 12 T + 6859 T^{2} \))(\( 1 - 44 T + 6859 T^{2} \))(\( 1 + 36 T + 10170 T^{2} + 246924 T^{3} + 47045881 T^{4} \))(\( 1 - 122 T + 17398 T^{2} - 836798 T^{3} + 47045881 T^{4} \))(\( 1 - 140 T + 14218 T^{2} - 960260 T^{3} + 47045881 T^{4} \))(\( 1 + 140 T + 14218 T^{2} + 960260 T^{3} + 47045881 T^{4} \))(\( 1 + 5490 T^{2} + 47045881 T^{4} \))(\( 1 + 102 T + 13134 T^{2} + 699618 T^{3} + 47045881 T^{4} \))(\( 1 + 5490 T^{2} + 47045881 T^{4} \))(\( 1 - 96 T + 13974 T^{2} - 658464 T^{3} + 47045881 T^{4} \))(\( 1 + 18 T + 5607 T^{2} + 123462 T^{3} + 47045881 T^{4} \))(\( 1 - 18 T + 5607 T^{2} - 123462 T^{3} + 47045881 T^{4} \))(\( 1 - 108 T + 13254 T^{2} - 740772 T^{3} + 47045881 T^{4} \))(\( 1 - 160 T + 18766 T^{2} - 1097440 T^{3} + 47045881 T^{4} \))(\( 1 + 160 T + 18766 T^{2} + 1097440 T^{3} + 47045881 T^{4} \))(\( 1 + 174 T + 18414 T^{2} + 1193466 T^{3} + 47045881 T^{4} \))(\( 1 + 29 T + 18484 T^{2} + 332301 T^{3} + 126781756 T^{4} + 1364330549 T^{5} + 322687697779 T^{6} \))(\( 1 - 29 T + 18484 T^{2} - 332301 T^{3} + 126781756 T^{4} - 1364330549 T^{5} + 322687697779 T^{6} \))(\( 1 - 82 T + 15513 T^{2} - 1140156 T^{3} + 106403667 T^{4} - 3857762242 T^{5} + 322687697779 T^{6} \))(\( 1 - 82 T + 15513 T^{2} - 1140156 T^{3} + 106403667 T^{4} - 3857762242 T^{5} + 322687697779 T^{6} \))(\( 1 + 168 T + 26197 T^{2} + 2333344 T^{3} + 179685223 T^{4} + 7903708008 T^{5} + 322687697779 T^{6} \))(\( 1 - 40 T - 360 T^{2} + 242088 T^{3} + 31176862 T^{4} + 1660481592 T^{5} - 16936517160 T^{6} - 12907507911160 T^{7} + 2213314919066161 T^{8} \))(\( 1 + 40 T - 360 T^{2} - 242088 T^{3} + 31176862 T^{4} - 1660481592 T^{5} - 16936517160 T^{6} + 12907507911160 T^{7} + 2213314919066161 T^{8} \))(\( 1 + 72 T + 13906 T^{2} + 1535688 T^{3} + 102126762 T^{4} + 10533283992 T^{5} + 654220021186 T^{6} + 23233514240088 T^{7} + 2213314919066161 T^{8} \))(\( 1 - 72 T + 13906 T^{2} - 1535688 T^{3} + 102126762 T^{4} - 10533283992 T^{5} + 654220021186 T^{6} - 23233514240088 T^{7} + 2213314919066161 T^{8} \))(\( 1 - 37 T + 23273 T^{2} - 383422 T^{3} + 245060985 T^{4} - 2013683027 T^{5} + 1680873296115 T^{6} - 18038425784782 T^{7} + 7509910790410667 T^{8} - 81892652005447957 T^{9} + 15181127029874798299 T^{10} \))(\( 1 + 37 T + 23273 T^{2} + 383422 T^{3} + 245060985 T^{4} + 2013683027 T^{5} + 1680873296115 T^{6} + 18038425784782 T^{7} + 7509910790410667 T^{8} + 81892652005447957 T^{9} + 15181127029874798299 T^{10} \))(\( 1 - 21 T + 20535 T^{2} - 685376 T^{3} + 239855386 T^{4} - 5799664422 T^{5} + 1645168092574 T^{6} - 32244117736256 T^{7} + 6626391873891765 T^{8} - 46479613300389381 T^{9} + 15181127029874798299 T^{10} \))(\( 1 + 21 T + 20535 T^{2} + 685376 T^{3} + 239855386 T^{4} + 5799664422 T^{5} + 1645168092574 T^{6} + 32244117736256 T^{7} + 6626391873891765 T^{8} + 46479613300389381 T^{9} + 15181127029874798299 T^{10} \))(\( 1 - 39 T + 11401 T^{2} - 534602 T^{3} + 74899481 T^{4} - 5163507297 T^{5} + 513735540179 T^{6} - 25150822074362 T^{7} + 3678962442378379 T^{8} - 86319281843580279 T^{9} + 15181127029874798299 T^{10} \))(\( 1 + 39 T + 11401 T^{2} + 534602 T^{3} + 74899481 T^{4} + 5163507297 T^{5} + 513735540179 T^{6} + 25150822074362 T^{7} + 3678962442378379 T^{8} + 86319281843580279 T^{9} + 15181127029874798299 T^{10} \))(\( 1 + 21978 T^{2} + 221297479 T^{4} + 1589592507244 T^{6} + 10411134862633999 T^{8} + 48644235291236086458 T^{10} + \)\(10\!\cdots\!41\)\( T^{12} \))(\( 1 + 21978 T^{2} + 221297479 T^{4} + 1589592507244 T^{6} + 10411134862633999 T^{8} + 48644235291236086458 T^{10} + \)\(10\!\cdots\!41\)\( T^{12} \))(\( 1 + 308 T + 73404 T^{2} + 12077372 T^{3} + 1625488783 T^{4} + 176451707096 T^{5} + 16038736148248 T^{6} + 1210282258971464 T^{7} + 76472551851852823 T^{8} + 3897219365900556788 T^{9} + \)\(16\!\cdots\!44\)\( T^{10} + \)\(46\!\cdots\!92\)\( T^{11} + \)\(10\!\cdots\!41\)\( T^{12} \))(\( 1 - 308 T + 73404 T^{2} - 12077372 T^{3} + 1625488783 T^{4} - 176451707096 T^{5} + 16038736148248 T^{6} - 1210282258971464 T^{7} + 76472551851852823 T^{8} - 3897219365900556788 T^{9} + \)\(16\!\cdots\!44\)\( T^{10} - \)\(46\!\cdots\!92\)\( T^{11} + \)\(10\!\cdots\!41\)\( T^{12} \))(\( 1 + 23344 T^{2} + 537992 T^{3} + 264891350 T^{4} + 10208037448 T^{5} + 2461392942136 T^{6} + 88296337938984 T^{7} + 19442968935112367 T^{8} + 605624581923491256 T^{9} + \)\(11\!\cdots\!16\)\( T^{10} + \)\(32\!\cdots\!92\)\( T^{11} + \)\(58\!\cdots\!50\)\( T^{12} + \)\(81\!\cdots\!08\)\( T^{13} + \)\(24\!\cdots\!04\)\( T^{14} + \)\(48\!\cdots\!21\)\( T^{16} \))(\( 1 + 23344 T^{2} - 537992 T^{3} + 264891350 T^{4} - 10208037448 T^{5} + 2461392942136 T^{6} - 88296337938984 T^{7} + 19442968935112367 T^{8} - 605624581923491256 T^{9} + \)\(11\!\cdots\!16\)\( T^{10} - \)\(32\!\cdots\!92\)\( T^{11} + \)\(58\!\cdots\!50\)\( T^{12} - \)\(81\!\cdots\!08\)\( T^{13} + \)\(24\!\cdots\!04\)\( T^{14} + \)\(48\!\cdots\!21\)\( T^{16} \))(\( 1 - 80 T + 27986 T^{2} - 897984 T^{3} + 317073596 T^{4} - 2566961312 T^{5} + 3016570090950 T^{6} - 31546605858992 T^{7} + 25052408748856150 T^{8} - 216378169586826128 T^{9} + \)\(14\!\cdots\!50\)\( T^{10} - \)\(82\!\cdots\!48\)\( T^{11} + \)\(70\!\cdots\!56\)\( T^{12} - \)\(13\!\cdots\!16\)\( T^{13} + \)\(29\!\cdots\!26\)\( T^{14} - \)\(57\!\cdots\!20\)\( T^{15} + \)\(48\!\cdots\!21\)\( T^{16} \))(\( 1 + 80 T + 27986 T^{2} + 897984 T^{3} + 317073596 T^{4} + 2566961312 T^{5} + 3016570090950 T^{6} + 31546605858992 T^{7} + 25052408748856150 T^{8} + 216378169586826128 T^{9} + \)\(14\!\cdots\!50\)\( T^{10} + \)\(82\!\cdots\!48\)\( T^{11} + \)\(70\!\cdots\!56\)\( T^{12} + \)\(13\!\cdots\!16\)\( T^{13} + \)\(29\!\cdots\!26\)\( T^{14} + \)\(57\!\cdots\!20\)\( T^{15} + \)\(48\!\cdots\!21\)\( T^{16} \))(\( 1 + 23344 T^{2} - 537992 T^{3} + 264891350 T^{4} - 10208037448 T^{5} + 2461392942136 T^{6} - 88296337938984 T^{7} + 19442968935112367 T^{8} - 605624581923491256 T^{9} + \)\(11\!\cdots\!16\)\( T^{10} - \)\(32\!\cdots\!92\)\( T^{11} + \)\(58\!\cdots\!50\)\( T^{12} - \)\(81\!\cdots\!08\)\( T^{13} + \)\(24\!\cdots\!04\)\( T^{14} + \)\(48\!\cdots\!21\)\( T^{16} \))(\( 1 + 23344 T^{2} + 537992 T^{3} + 264891350 T^{4} + 10208037448 T^{5} + 2461392942136 T^{6} + 88296337938984 T^{7} + 19442968935112367 T^{8} + 605624581923491256 T^{9} + \)\(11\!\cdots\!16\)\( T^{10} + \)\(32\!\cdots\!92\)\( T^{11} + \)\(58\!\cdots\!50\)\( T^{12} + \)\(81\!\cdots\!08\)\( T^{13} + \)\(24\!\cdots\!04\)\( T^{14} + \)\(48\!\cdots\!21\)\( T^{16} \))(\( 1 + 36716 T^{2} + 672478314 T^{4} + 8550427716572 T^{6} + 88034166438995951 T^{8} + \)\(77\!\cdots\!76\)\( T^{10} + \)\(57\!\cdots\!36\)\( T^{12} + \)\(36\!\cdots\!56\)\( T^{14} + \)\(19\!\cdots\!11\)\( T^{16} + \)\(89\!\cdots\!52\)\( T^{18} + \)\(32\!\cdots\!94\)\( T^{20} + \)\(84\!\cdots\!16\)\( T^{22} + \)\(10\!\cdots\!81\)\( T^{24} \))(\( 1 + 36716 T^{2} + 672478314 T^{4} + 8550427716572 T^{6} + 88034166438995951 T^{8} + \)\(77\!\cdots\!76\)\( T^{10} + \)\(57\!\cdots\!36\)\( T^{12} + \)\(36\!\cdots\!56\)\( T^{14} + \)\(19\!\cdots\!11\)\( T^{16} + \)\(89\!\cdots\!52\)\( T^{18} + \)\(32\!\cdots\!94\)\( T^{20} + \)\(84\!\cdots\!16\)\( T^{22} + \)\(10\!\cdots\!81\)\( T^{24} \))
$23$ (\( 1 + 120 T + 12167 T^{2} \))(\( 1 + 112 T + 12167 T^{2} \))(\( 1 - 120 T + 12167 T^{2} \))(\( 1 - 141 T + 12167 T^{2} \))(\( 1 + 69 T + 12167 T^{2} \))(\( 1 + 120 T + 12167 T^{2} \))(\( 1 + 69 T + 12167 T^{2} \))(\( 1 - 141 T + 12167 T^{2} \))(\( 1 + 32 T + 12167 T^{2} \))(\( 1 + 56 T + 12167 T^{2} \))(\( 1 - 52 T + 12167 T^{2} \))(\( 1 - 168 T + 12167 T^{2} \))(\( 1 + 56 T + 12167 T^{2} \))(\( 1 - 52 T + 12167 T^{2} \))(\( 1 + 12 T + 12167 T^{2} \))(\( 1 - 120 T + 12167 T^{2} \))(\( 1 - 78 T + 12167 T^{2} \))(\( 1 - 134 T + 12167 T^{2} \))(\( 1 - 134 T + 12167 T^{2} \))(\( 1 - 120 T + 12167 T^{2} \))(\( 1 + 244 T + 29970 T^{2} + 2968748 T^{3} + 148035889 T^{4} \))(\( 1 + 16 T + 782 T^{2} + 194672 T^{3} + 148035889 T^{4} \))(\( 1 - 16 T + 15774 T^{2} - 194672 T^{3} + 148035889 T^{4} \))(\( 1 - 16 T + 15774 T^{2} - 194672 T^{3} + 148035889 T^{4} \))(\( 1 - 82 T + 25182 T^{2} - 997694 T^{3} + 148035889 T^{4} \))(\( 1 + 260 T + 34734 T^{2} + 3163420 T^{3} + 148035889 T^{4} \))(\( 1 + 82 T + 25182 T^{2} + 997694 T^{3} + 148035889 T^{4} \))(\( 1 - 16 T + 15150 T^{2} - 194672 T^{3} + 148035889 T^{4} \))(\( 1 - 68 T + 24138 T^{2} - 827356 T^{3} + 148035889 T^{4} \))(\( 1 - 68 T + 24138 T^{2} - 827356 T^{3} + 148035889 T^{4} \))(\( 1 - 320 T + 47934 T^{2} - 3893440 T^{3} + 148035889 T^{4} \))(\( 1 - 22 T - 2923 T^{2} - 267674 T^{3} + 148035889 T^{4} \))(\( 1 - 22 T - 2923 T^{2} - 267674 T^{3} + 148035889 T^{4} \))(\( 1 + 184 T + 19470 T^{2} + 2238728 T^{3} + 148035889 T^{4} \))(\( 1 - 63 T + 32377 T^{2} - 1479946 T^{3} + 393930959 T^{4} - 9326261007 T^{5} + 1801152661463 T^{6} \))(\( 1 - 63 T + 32377 T^{2} - 1479946 T^{3} + 393930959 T^{4} - 9326261007 T^{5} + 1801152661463 T^{6} \))(\( 1 + 30 T + 19233 T^{2} + 1108300 T^{3} + 234007911 T^{4} + 4441076670 T^{5} + 1801152661463 T^{6} \))(\( 1 - 30 T + 19233 T^{2} - 1108300 T^{3} + 234007911 T^{4} - 4441076670 T^{5} + 1801152661463 T^{6} \))(\( 1 - 124 T + 38233 T^{2} - 2923048 T^{3} + 465180911 T^{4} - 18356450236 T^{5} + 1801152661463 T^{6} \))(\( 1 + 490 T + 134088 T^{2} + 23937194 T^{3} + 3100130702 T^{4} + 291243839398 T^{5} + 19849836284232 T^{6} + 882564804116870 T^{7} + 21914624432020321 T^{8} \))(\( 1 + 490 T + 134088 T^{2} + 23937194 T^{3} + 3100130702 T^{4} + 291243839398 T^{5} + 19849836284232 T^{6} + 882564804116870 T^{7} + 21914624432020321 T^{8} \))(\( 1 + 36970 T^{2} - 184680 T^{3} + 613170786 T^{4} - 2247001560 T^{5} + 5472886816330 T^{6} + 21914624432020321 T^{8} \))(\( 1 + 36970 T^{2} - 184680 T^{3} + 613170786 T^{4} - 2247001560 T^{5} + 5472886816330 T^{6} + 21914624432020321 T^{8} \))(\( 1 + 77 T + 46455 T^{2} + 3370864 T^{3} + 985679602 T^{4} + 59076674370 T^{5} + 11992763717534 T^{6} + 499008848938096 T^{7} + 83672546888263665 T^{8} + 1687426081265564717 T^{9} + \)\(26\!\cdots\!07\)\( T^{10} \))(\( 1 + 77 T + 46455 T^{2} + 3370864 T^{3} + 985679602 T^{4} + 59076674370 T^{5} + 11992763717534 T^{6} + 499008848938096 T^{7} + 83672546888263665 T^{8} + 1687426081265564717 T^{9} + \)\(26\!\cdots\!07\)\( T^{10} \))(\( 1 + 201 T + 48989 T^{2} + 6224422 T^{3} + 1025553937 T^{4} + 103071638287 T^{5} + 12477914751479 T^{6} + 921437844281158 T^{7} + 88236667732410907 T^{8} + 4404839510836084521 T^{9} + \)\(26\!\cdots\!07\)\( T^{10} \))(\( 1 + 201 T + 48989 T^{2} + 6224422 T^{3} + 1025553937 T^{4} + 103071638287 T^{5} + 12477914751479 T^{6} + 921437844281158 T^{7} + 88236667732410907 T^{8} + 4404839510836084521 T^{9} + \)\(26\!\cdots\!07\)\( T^{10} \))(\( 1 - 133 T + 24875 T^{2} + 383524 T^{3} - 133452018 T^{4} + 52444604550 T^{5} - 1623710703006 T^{6} + 56775316292836 T^{7} + 44803672453892125 T^{8} - 2914645049458702693 T^{9} + \)\(26\!\cdots\!07\)\( T^{10} \))(\( 1 - 133 T + 24875 T^{2} + 383524 T^{3} - 133452018 T^{4} + 52444604550 T^{5} - 1623710703006 T^{6} + 56775316292836 T^{7} + 44803672453892125 T^{8} - 2914645049458702693 T^{9} + \)\(26\!\cdots\!07\)\( T^{10} \))(\( 1 + 49178 T^{2} + 1213984799 T^{4} + 18399433839724 T^{6} + 179713318952451311 T^{8} + \)\(10\!\cdots\!38\)\( T^{10} + \)\(32\!\cdots\!69\)\( T^{12} \))(\( 1 + 49178 T^{2} + 1213984799 T^{4} + 18399433839724 T^{6} + 179713318952451311 T^{8} + \)\(10\!\cdots\!38\)\( T^{10} + \)\(32\!\cdots\!69\)\( T^{12} \))(\( 1 - 336 T + 98630 T^{2} - 19185056 T^{3} + 3349928211 T^{4} - 454430622128 T^{5} + 55918197842956 T^{6} - 5529057379431376 T^{7} + 495909600801564579 T^{8} - 34555214674716696928 T^{9} + \)\(21\!\cdots\!30\)\( T^{10} - \)\(89\!\cdots\!52\)\( T^{11} + \)\(32\!\cdots\!69\)\( T^{12} \))(\( 1 - 336 T + 98630 T^{2} - 19185056 T^{3} + 3349928211 T^{4} - 454430622128 T^{5} + 55918197842956 T^{6} - 5529057379431376 T^{7} + 495909600801564579 T^{8} - 34555214674716696928 T^{9} + \)\(21\!\cdots\!30\)\( T^{10} - \)\(89\!\cdots\!52\)\( T^{11} + \)\(32\!\cdots\!69\)\( T^{12} \))(\( 1 + 190 T + 85545 T^{2} + 12425914 T^{3} + 3207621486 T^{4} + 379037595582 T^{5} + 71902048968779 T^{6} + 7048204608184914 T^{7} + 1064345150551638366 T^{8} + 85755505467785848638 T^{9} + \)\(10\!\cdots\!31\)\( T^{10} + \)\(68\!\cdots\!66\)\( T^{11} + \)\(70\!\cdots\!06\)\( T^{12} + \)\(33\!\cdots\!98\)\( T^{13} + \)\(27\!\cdots\!05\)\( T^{14} + \)\(74\!\cdots\!70\)\( T^{15} + \)\(48\!\cdots\!41\)\( T^{16} \))(\( 1 + 190 T + 85545 T^{2} + 12425914 T^{3} + 3207621486 T^{4} + 379037595582 T^{5} + 71902048968779 T^{6} + 7048204608184914 T^{7} + 1064345150551638366 T^{8} + 85755505467785848638 T^{9} + \)\(10\!\cdots\!31\)\( T^{10} + \)\(68\!\cdots\!66\)\( T^{11} + \)\(70\!\cdots\!06\)\( T^{12} + \)\(33\!\cdots\!98\)\( T^{13} + \)\(27\!\cdots\!05\)\( T^{14} + \)\(74\!\cdots\!70\)\( T^{15} + \)\(48\!\cdots\!41\)\( T^{16} \))(\( 1 + 120 T + 43642 T^{2} + 4122368 T^{3} + 1052982212 T^{4} + 77227451376 T^{5} + 17279817545550 T^{6} + 1094159392621768 T^{7} + 230536480690544198 T^{8} + 13312637330029051256 T^{9} + \)\(25\!\cdots\!50\)\( T^{10} + \)\(13\!\cdots\!88\)\( T^{11} + \)\(23\!\cdots\!52\)\( T^{12} + \)\(10\!\cdots\!76\)\( T^{13} + \)\(14\!\cdots\!98\)\( T^{14} + \)\(47\!\cdots\!60\)\( T^{15} + \)\(48\!\cdots\!41\)\( T^{16} \))(\( 1 + 120 T + 43642 T^{2} + 4122368 T^{3} + 1052982212 T^{4} + 77227451376 T^{5} + 17279817545550 T^{6} + 1094159392621768 T^{7} + 230536480690544198 T^{8} + 13312637330029051256 T^{9} + \)\(25\!\cdots\!50\)\( T^{10} + \)\(13\!\cdots\!88\)\( T^{11} + \)\(23\!\cdots\!52\)\( T^{12} + \)\(10\!\cdots\!76\)\( T^{13} + \)\(14\!\cdots\!98\)\( T^{14} + \)\(47\!\cdots\!60\)\( T^{15} + \)\(48\!\cdots\!41\)\( T^{16} \))(\( 1 - 190 T + 85545 T^{2} - 12425914 T^{3} + 3207621486 T^{4} - 379037595582 T^{5} + 71902048968779 T^{6} - 7048204608184914 T^{7} + 1064345150551638366 T^{8} - 85755505467785848638 T^{9} + \)\(10\!\cdots\!31\)\( T^{10} - \)\(68\!\cdots\!66\)\( T^{11} + \)\(70\!\cdots\!06\)\( T^{12} - \)\(33\!\cdots\!98\)\( T^{13} + \)\(27\!\cdots\!05\)\( T^{14} - \)\(74\!\cdots\!70\)\( T^{15} + \)\(48\!\cdots\!41\)\( T^{16} \))(\( 1 - 190 T + 85545 T^{2} - 12425914 T^{3} + 3207621486 T^{4} - 379037595582 T^{5} + 71902048968779 T^{6} - 7048204608184914 T^{7} + 1064345150551638366 T^{8} - 85755505467785848638 T^{9} + \)\(10\!\cdots\!31\)\( T^{10} - \)\(68\!\cdots\!66\)\( T^{11} + \)\(70\!\cdots\!06\)\( T^{12} - \)\(33\!\cdots\!98\)\( T^{13} + \)\(27\!\cdots\!05\)\( T^{14} - \)\(74\!\cdots\!70\)\( T^{15} + \)\(48\!\cdots\!41\)\( T^{16} \))(\( 1 + 6244 T^{2} + 398158570 T^{4} + 4319349440884 T^{6} + 63301197092593727 T^{8} + \)\(12\!\cdots\!68\)\( T^{10} + \)\(75\!\cdots\!04\)\( T^{12} + \)\(18\!\cdots\!52\)\( T^{14} + \)\(13\!\cdots\!67\)\( T^{16} + \)\(14\!\cdots\!96\)\( T^{18} + \)\(19\!\cdots\!70\)\( T^{20} + \)\(44\!\cdots\!56\)\( T^{22} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 + 6244 T^{2} + 398158570 T^{4} + 4319349440884 T^{6} + 63301197092593727 T^{8} + \)\(12\!\cdots\!68\)\( T^{10} + \)\(75\!\cdots\!04\)\( T^{12} + \)\(18\!\cdots\!52\)\( T^{14} + \)\(13\!\cdots\!67\)\( T^{16} + \)\(14\!\cdots\!96\)\( T^{18} + \)\(19\!\cdots\!70\)\( T^{20} + \)\(44\!\cdots\!56\)\( T^{22} + \)\(10\!\cdots\!61\)\( T^{24} \))
$29$ (\( 1 - 50 T + 24389 T^{2} \))(\( 1 - 58 T + 24389 T^{2} \))(\( 1 - 78 T + 24389 T^{2} \))(\( 1 + 48 T + 24389 T^{2} \))(\( 1 - 162 T + 24389 T^{2} \))(\( 1 + 162 T + 24389 T^{2} \))(\( 1 - 162 T + 24389 T^{2} \))(\( 1 + 48 T + 24389 T^{2} \))(\( 1 - 50 T + 24389 T^{2} \))(\( 1 - 232 T + 24389 T^{2} \))(\( 1 + 146 T + 24389 T^{2} \))(\( 1 + 230 T + 24389 T^{2} \))(\( 1 - 232 T + 24389 T^{2} \))(\( 1 + 146 T + 24389 T^{2} \))(\( 1 - 258 T + 24389 T^{2} \))(\( 1 - 162 T + 24389 T^{2} \))(\( 1 - 50 T + 24389 T^{2} \))(\( 1 + 118 T + 24389 T^{2} \))(\( 1 + 118 T + 24389 T^{2} \))(\( 1 + 50 T + 24389 T^{2} \))(\( 1 - 26 T + 47795 T^{2} - 634114 T^{3} + 594823321 T^{4} \))(\( 1 + 352 T + 78278 T^{2} + 8584928 T^{3} + 594823321 T^{4} \))(\( 1 - 258 T + 40075 T^{2} - 6292362 T^{3} + 594823321 T^{4} \))(\( 1 - 258 T + 40075 T^{2} - 6292362 T^{3} + 594823321 T^{4} \))(\( 1 - 334 T + 72842 T^{2} - 8145926 T^{3} + 594823321 T^{4} \))(\( 1 - 196 T + 20942 T^{2} - 4780244 T^{3} + 594823321 T^{4} \))(\( 1 + 334 T + 72842 T^{2} + 8145926 T^{3} + 594823321 T^{4} \))(\( 1 + 188 T + 34286 T^{2} + 4585132 T^{3} + 594823321 T^{4} \))(\( 1 - 332 T + 76262 T^{2} - 8097148 T^{3} + 594823321 T^{4} \))(\( 1 - 332 T + 76262 T^{2} - 8097148 T^{3} + 594823321 T^{4} \))(\( 1 - 236 T + 61982 T^{2} - 5755804 T^{3} + 594823321 T^{4} \))(\( 1 - 250 T + 57203 T^{2} - 6097250 T^{3} + 594823321 T^{4} \))(\( 1 - 250 T + 57203 T^{2} - 6097250 T^{3} + 594823321 T^{4} \))(\( 1 - 32 T + 19046 T^{2} - 780448 T^{3} + 594823321 T^{4} \))(\( 1 + 220 T + 74711 T^{2} + 10703064 T^{3} + 1822126579 T^{4} + 130861130620 T^{5} + 14507145975869 T^{6} \))(\( 1 + 220 T + 74711 T^{2} + 10703064 T^{3} + 1822126579 T^{4} + 130861130620 T^{5} + 14507145975869 T^{6} \))(\( 1 - 32 T + 28367 T^{2} - 1970496 T^{3} + 691842763 T^{4} - 19034346272 T^{5} + 14507145975869 T^{6} \))(\( 1 + 32 T + 28367 T^{2} + 1970496 T^{3} + 691842763 T^{4} + 19034346272 T^{5} + 14507145975869 T^{6} \))(\( 1 + 332 T + 80572 T^{2} + 13628846 T^{3} + 1965070508 T^{4} + 197481342572 T^{5} + 14507145975869 T^{6} \))(\( 1 - 6 T + 68224 T^{2} + 1794846 T^{3} + 2099426894 T^{4} + 43774499094 T^{5} + 40581226251904 T^{6} - 87042875855214 T^{7} + 353814783205469041 T^{8} \))(\( 1 - 6 T + 68224 T^{2} + 1794846 T^{3} + 2099426894 T^{4} + 43774499094 T^{5} + 40581226251904 T^{6} - 87042875855214 T^{7} + 353814783205469041 T^{8} \))(\( 1 - 636 T + 236518 T^{2} - 58757436 T^{3} + 10696375170 T^{4} - 1433035106604 T^{5} + 140686422236278 T^{6} - 9226544840652684 T^{7} + 353814783205469041 T^{8} \))(\( 1 - 636 T + 236518 T^{2} - 58757436 T^{3} + 10696375170 T^{4} - 1433035106604 T^{5} + 140686422236278 T^{6} - 9226544840652684 T^{7} + 353814783205469041 T^{8} \))(\( 1 + 360 T + 130325 T^{2} + 27401400 T^{3} + 6029894570 T^{4} + 923796431136 T^{5} + 147063098667730 T^{6} + 16298991748049400 T^{7} + 1890643799305127425 T^{8} + \)\(12\!\cdots\!60\)\( T^{9} + \)\(86\!\cdots\!49\)\( T^{10} \))(\( 1 + 360 T + 130325 T^{2} + 27401400 T^{3} + 6029894570 T^{4} + 923796431136 T^{5} + 147063098667730 T^{6} + 16298991748049400 T^{7} + 1890643799305127425 T^{8} + \)\(12\!\cdots\!60\)\( T^{9} + \)\(86\!\cdots\!49\)\( T^{10} \))(\( 1 + 190 T + 63587 T^{2} + 10646688 T^{3} + 1713461669 T^{4} + 306482100734 T^{5} + 41789616645241 T^{6} + 6332898313810848 T^{7} + 922465891167582103 T^{8} + 67224808809039117790 T^{9} + \)\(86\!\cdots\!49\)\( T^{10} \))(\( 1 + 190 T + 63587 T^{2} + 10646688 T^{3} + 1713461669 T^{4} + 306482100734 T^{5} + 41789616645241 T^{6} + 6332898313810848 T^{7} + 922465891167582103 T^{8} + 67224808809039117790 T^{9} + \)\(86\!\cdots\!49\)\( T^{10} \))(\( 1 + 272 T + 89713 T^{2} + 18586464 T^{3} + 4032454334 T^{4} + 595833637376 T^{5} + 98347528751926 T^{6} + 11055662242126944 T^{7} + 1301479586933135597 T^{8} + 96237621031887579152 T^{9} + \)\(86\!\cdots\!49\)\( T^{10} \))(\( 1 + 272 T + 89713 T^{2} + 18586464 T^{3} + 4032454334 T^{4} + 595833637376 T^{5} + 98347528751926 T^{6} + 11055662242126944 T^{7} + 1301479586933135597 T^{8} + 96237621031887579152 T^{9} + \)\(86\!\cdots\!49\)\( T^{10} \))(\( 1 + 124478 T^{2} + 6905589367 T^{4} + 217717211232388 T^{6} + 4107605600741227807 T^{8} + \)\(44\!\cdots\!98\)\( T^{10} + \)\(21\!\cdots\!61\)\( T^{12} \))(\( 1 + 124478 T^{2} + 6905589367 T^{4} + 217717211232388 T^{6} + 4107605600741227807 T^{8} + \)\(44\!\cdots\!98\)\( T^{10} + \)\(21\!\cdots\!61\)\( T^{12} \))(\( 1 + 176 T + 92656 T^{2} + 12546380 T^{3} + 4288608312 T^{4} + 478053343680 T^{5} + 127431913139622 T^{6} + 11659242999011520 T^{7} + 2550964238612044152 T^{8} + \)\(18\!\cdots\!20\)\( T^{9} + \)\(32\!\cdots\!96\)\( T^{10} + \)\(15\!\cdots\!24\)\( T^{11} + \)\(21\!\cdots\!61\)\( T^{12} \))(\( 1 + 176 T + 92656 T^{2} + 12546380 T^{3} + 4288608312 T^{4} + 478053343680 T^{5} + 127431913139622 T^{6} + 11659242999011520 T^{7} + 2550964238612044152 T^{8} + \)\(18\!\cdots\!20\)\( T^{9} + \)\(32\!\cdots\!96\)\( T^{10} + \)\(15\!\cdots\!24\)\( T^{11} + \)\(21\!\cdots\!61\)\( T^{12} \))(\( 1 + 296 T + 116368 T^{2} + 18626212 T^{3} + 4847971720 T^{4} + 533722710084 T^{5} + 128029859776740 T^{6} + 9608165504020128 T^{7} + 2819026514713272342 T^{8} + \)\(23\!\cdots\!92\)\( T^{9} + \)\(76\!\cdots\!40\)\( T^{10} + \)\(77\!\cdots\!96\)\( T^{11} + \)\(17\!\cdots\!20\)\( T^{12} + \)\(16\!\cdots\!88\)\( T^{13} + \)\(24\!\cdots\!48\)\( T^{14} + \)\(15\!\cdots\!84\)\( T^{15} + \)\(12\!\cdots\!81\)\( T^{16} \))(\( 1 + 296 T + 116368 T^{2} + 18626212 T^{3} + 4847971720 T^{4} + 533722710084 T^{5} + 128029859776740 T^{6} + 9608165504020128 T^{7} + 2819026514713272342 T^{8} + \)\(23\!\cdots\!92\)\( T^{9} + \)\(76\!\cdots\!40\)\( T^{10} + \)\(77\!\cdots\!96\)\( T^{11} + \)\(17\!\cdots\!20\)\( T^{12} + \)\(16\!\cdots\!88\)\( T^{13} + \)\(24\!\cdots\!48\)\( T^{14} + \)\(15\!\cdots\!84\)\( T^{15} + \)\(12\!\cdots\!81\)\( T^{16} \))(\( 1 + 76 T + 74370 T^{2} + 1862268 T^{3} + 2646926400 T^{4} - 88314070476 T^{5} + 70411248659950 T^{6} - 4768258978708028 T^{7} + 1753058605726100574 T^{8} - \)\(11\!\cdots\!92\)\( T^{9} + \)\(41\!\cdots\!50\)\( T^{10} - \)\(12\!\cdots\!44\)\( T^{11} + \)\(93\!\cdots\!00\)\( T^{12} + \)\(16\!\cdots\!32\)\( T^{13} + \)\(15\!\cdots\!70\)\( T^{14} + \)\(39\!\cdots\!04\)\( T^{15} + \)\(12\!\cdots\!81\)\( T^{16} \))(\( 1 + 76 T + 74370 T^{2} + 1862268 T^{3} + 2646926400 T^{4} - 88314070476 T^{5} + 70411248659950 T^{6} - 4768258978708028 T^{7} + 1753058605726100574 T^{8} - \)\(11\!\cdots\!92\)\( T^{9} + \)\(41\!\cdots\!50\)\( T^{10} - \)\(12\!\cdots\!44\)\( T^{11} + \)\(93\!\cdots\!00\)\( T^{12} + \)\(16\!\cdots\!32\)\( T^{13} + \)\(15\!\cdots\!70\)\( T^{14} + \)\(39\!\cdots\!04\)\( T^{15} + \)\(12\!\cdots\!81\)\( T^{16} \))(\( 1 - 296 T + 116368 T^{2} - 18626212 T^{3} + 4847971720 T^{4} - 533722710084 T^{5} + 128029859776740 T^{6} - 9608165504020128 T^{7} + 2819026514713272342 T^{8} - \)\(23\!\cdots\!92\)\( T^{9} + \)\(76\!\cdots\!40\)\( T^{10} - \)\(77\!\cdots\!96\)\( T^{11} + \)\(17\!\cdots\!20\)\( T^{12} - \)\(16\!\cdots\!88\)\( T^{13} + \)\(24\!\cdots\!48\)\( T^{14} - \)\(15\!\cdots\!84\)\( T^{15} + \)\(12\!\cdots\!81\)\( T^{16} \))(\( 1 - 296 T + 116368 T^{2} - 18626212 T^{3} + 4847971720 T^{4} - 533722710084 T^{5} + 128029859776740 T^{6} - 9608165504020128 T^{7} + 2819026514713272342 T^{8} - \)\(23\!\cdots\!92\)\( T^{9} + \)\(76\!\cdots\!40\)\( T^{10} - \)\(77\!\cdots\!96\)\( T^{11} + \)\(17\!\cdots\!20\)\( T^{12} - \)\(16\!\cdots\!88\)\( T^{13} + \)\(24\!\cdots\!48\)\( T^{14} - \)\(15\!\cdots\!84\)\( T^{15} + \)\(12\!\cdots\!81\)\( T^{16} \))(\( 1 + 191128 T^{2} + 18038822510 T^{4} + 1113183574158296 T^{6} + 50146669474363258383 T^{8} + \)\(17\!\cdots\!08\)\( T^{10} + \)\(47\!\cdots\!88\)\( T^{12} + \)\(10\!\cdots\!68\)\( T^{14} + \)\(17\!\cdots\!03\)\( T^{16} + \)\(23\!\cdots\!56\)\( T^{18} + \)\(22\!\cdots\!10\)\( T^{20} + \)\(14\!\cdots\!28\)\( T^{22} + \)\(44\!\cdots\!21\)\( T^{24} \))(\( 1 + 191128 T^{2} + 18038822510 T^{4} + 1113183574158296 T^{6} + 50146669474363258383 T^{8} + \)\(17\!\cdots\!08\)\( T^{10} + \)\(47\!\cdots\!88\)\( T^{12} + \)\(10\!\cdots\!68\)\( T^{14} + \)\(17\!\cdots\!03\)\( T^{16} + \)\(23\!\cdots\!56\)\( T^{18} + \)\(22\!\cdots\!10\)\( T^{20} + \)\(14\!\cdots\!28\)\( T^{22} + \)\(44\!\cdots\!21\)\( T^{24} \))
$31$ (\( 1 + 108 T + 29791 T^{2} \))(\( 1 - 224 T + 29791 T^{2} \))(\( 1 + 200 T + 29791 T^{2} \))(\( 1 - 178 T + 29791 T^{2} \))(\( 1 + 88 T + 29791 T^{2} \))(\( 1 + 236 T + 29791 T^{2} \))(\( 1 - 88 T + 29791 T^{2} \))(\( 1 + 178 T + 29791 T^{2} \))(\( 1 - 248 T + 29791 T^{2} \))(\( 1 - 6 T + 29791 T^{2} \))(\( 1 - 276 T + 29791 T^{2} \))(\( 1 - 288 T + 29791 T^{2} \))(\( 1 + 6 T + 29791 T^{2} \))(\( 1 + 276 T + 29791 T^{2} \))(\( 1 + 146 T + 29791 T^{2} \))(\( 1 + 236 T + 29791 T^{2} \))(\( 1 - 108 T + 29791 T^{2} \))(\( 1 + 144 T + 29791 T^{2} \))(\( 1 - 144 T + 29791 T^{2} \))(\( 1 + 108 T + 29791 T^{2} \))(\( 1 - 120 T - 1618 T^{2} - 3574920 T^{3} + 887503681 T^{4} \))(\( 1 + 66 T + 45870 T^{2} + 1966206 T^{3} + 887503681 T^{4} \))(\( 1 + 20 T + 20082 T^{2} + 595820 T^{3} + 887503681 T^{4} \))(\( 1 - 20 T + 20082 T^{2} - 595820 T^{3} + 887503681 T^{4} \))(\( 1 - 210 T + 69230 T^{2} - 6256110 T^{3} + 887503681 T^{4} \))(\( 1 + 150 T + 36542 T^{2} + 4468650 T^{3} + 887503681 T^{4} \))(\( 1 - 210 T + 69230 T^{2} - 6256110 T^{3} + 887503681 T^{4} \))(\( 1 - 120 T + 60590 T^{2} - 3574920 T^{3} + 887503681 T^{4} \))(\( 1 + 66 T + 58079 T^{2} + 1966206 T^{3} + 887503681 T^{4} \))(\( 1 - 66 T + 58079 T^{2} - 1966206 T^{3} + 887503681 T^{4} \))(\( 1 - 60 T + 8462 T^{2} - 1787460 T^{3} + 887503681 T^{4} \))(\( 1 + 132 T + 43938 T^{2} + 3932412 T^{3} + 887503681 T^{4} \))(\( 1 - 132 T + 43938 T^{2} - 3932412 T^{3} + 887503681 T^{4} \))(\( 1 + 330 T + 85430 T^{2} + 9831030 T^{3} + 887503681 T^{4} \))(\( 1 - 136 T + 27042 T^{2} - 3338174 T^{3} + 805608222 T^{4} - 120700500616 T^{5} + 26439622160671 T^{6} \))(\( 1 + 136 T + 27042 T^{2} + 3338174 T^{3} + 805608222 T^{4} + 120700500616 T^{5} + 26439622160671 T^{6} \))(\( 1 - 362 T + 131221 T^{2} - 23112348 T^{3} + 3909204811 T^{4} - 321276332522 T^{5} + 26439622160671 T^{6} \))(\( 1 - 362 T + 131221 T^{2} - 23112348 T^{3} + 3909204811 T^{4} - 321276332522 T^{5} + 26439622160671 T^{6} \))(\( 1 + 320 T + 113341 T^{2} + 19016064 T^{3} + 3376541731 T^{4} + 284001177920 T^{5} + 26439622160671 T^{6} \))(\( 1 - 122 T + 81704 T^{2} - 12895866 T^{3} + 3071099918 T^{4} - 384180744006 T^{5} + 72512600752424 T^{6} - 3225633903601862 T^{7} + 787662783788549761 T^{8} \))(\( 1 + 122 T + 81704 T^{2} + 12895866 T^{3} + 3071099918 T^{4} + 384180744006 T^{5} + 72512600752424 T^{6} + 3225633903601862 T^{7} + 787662783788549761 T^{8} \))(\( 1 + 228 T + 95788 T^{2} + 18621900 T^{3} + 3907991106 T^{4} + 554765022900 T^{5} + 85012202595628 T^{6} + 6028233852632988 T^{7} + 787662783788549761 T^{8} \))(\( 1 - 228 T + 95788 T^{2} - 18621900 T^{3} + 3907991106 T^{4} - 554765022900 T^{5} + 85012202595628 T^{6} - 6028233852632988 T^{7} + 787662783788549761 T^{8} \))(\( 1 - 314 T + 123689 T^{2} - 25396640 T^{3} + 6458906089 T^{4} - 1024909614882 T^{5} + 192417271297399 T^{6} - 22539611485031840 T^{7} + 3270290425431235319 T^{8} - \)\(24\!\cdots\!54\)\( T^{9} + \)\(23\!\cdots\!51\)\( T^{10} \))(\( 1 + 314 T + 123689 T^{2} + 25396640 T^{3} + 6458906089 T^{4} + 1024909614882 T^{5} + 192417271297399 T^{6} + 22539611485031840 T^{7} + 3270290425431235319 T^{8} + \)\(24\!\cdots\!54\)\( T^{9} + \)\(23\!\cdots\!51\)\( T^{10} \))(\( 1 + 388 T + 172703 T^{2} + 43786000 T^{3} + 10829267902 T^{4} + 1922674095576 T^{5} + 322614720068482 T^{6} + 38860236176266000 T^{7} + 4566202066014363713 T^{8} + \)\(30\!\cdots\!68\)\( T^{9} + \)\(23\!\cdots\!51\)\( T^{10} \))(\( 1 - 388 T + 172703 T^{2} - 43786000 T^{3} + 10829267902 T^{4} - 1922674095576 T^{5} + 322614720068482 T^{6} - 38860236176266000 T^{7} + 4566202066014363713 T^{8} - \)\(30\!\cdots\!68\)\( T^{9} + \)\(23\!\cdots\!51\)\( T^{10} \))(\( 1 - 430 T + 168993 T^{2} - 47232872 T^{3} + 10667901865 T^{4} - 2052996007502 T^{5} + 317807464460215 T^{6} - 41919347764201832 T^{7} + 4468111067798274303 T^{8} - \)\(33\!\cdots\!30\)\( T^{9} + \)\(23\!\cdots\!51\)\( T^{10} \))(\( 1 + 430 T + 168993 T^{2} + 47232872 T^{3} + 10667901865 T^{4} + 2052996007502 T^{5} + 317807464460215 T^{6} + 41919347764201832 T^{7} + 4468111067798274303 T^{8} + \)\(33\!\cdots\!30\)\( T^{9} + \)\(23\!\cdots\!51\)\( T^{10} \))(\( 1 + 51250 T^{2} + 1551151871 T^{4} + 34382118836764 T^{6} + 1376652995302537151 T^{8} + \)\(40\!\cdots\!50\)\( T^{10} + \)\(69\!\cdots\!41\)\( T^{12} \))(\( 1 + 51250 T^{2} + 1551151871 T^{4} + 34382118836764 T^{6} + 1376652995302537151 T^{8} + \)\(40\!\cdots\!50\)\( T^{10} + \)\(69\!\cdots\!41\)\( T^{12} \))(\( 1 + 392 T + 153030 T^{2} + 32287912 T^{3} + 7677507203 T^{4} + 1249077738464 T^{5} + 255230995151820 T^{6} + 37211274906581024 T^{7} + 6813815903566514243 T^{8} + \)\(85\!\cdots\!52\)\( T^{9} + \)\(12\!\cdots\!30\)\( T^{10} + \)\(91\!\cdots\!92\)\( T^{11} + \)\(69\!\cdots\!41\)\( T^{12} \))(\( 1 - 392 T + 153030 T^{2} - 32287912 T^{3} + 7677507203 T^{4} - 1249077738464 T^{5} + 255230995151820 T^{6} - 37211274906581024 T^{7} + 6813815903566514243 T^{8} - \)\(85\!\cdots\!52\)\( T^{9} + \)\(12\!\cdots\!30\)\( T^{10} - \)\(91\!\cdots\!92\)\( T^{11} + \)\(69\!\cdots\!41\)\( T^{12} \))(\( 1 + 42 T + 96611 T^{2} + 6057618 T^{3} + 5413483509 T^{4} + 349791054732 T^{5} + 217080436610518 T^{6} + 14596941940772520 T^{7} + 6963019196540945158 T^{8} + \)\(43\!\cdots\!20\)\( T^{9} + \)\(19\!\cdots\!58\)\( T^{10} + \)\(92\!\cdots\!72\)\( T^{11} + \)\(42\!\cdots\!49\)\( T^{12} + \)\(14\!\cdots\!18\)\( T^{13} + \)\(67\!\cdots\!51\)\( T^{14} + \)\(87\!\cdots\!02\)\( T^{15} + \)\(62\!\cdots\!21\)\( T^{16} \))(\( 1 - 42 T + 96611 T^{2} - 6057618 T^{3} + 5413483509 T^{4} - 349791054732 T^{5} + 217080436610518 T^{6} - 14596941940772520 T^{7} + 6963019196540945158 T^{8} - \)\(43\!\cdots\!20\)\( T^{9} + \)\(19\!\cdots\!58\)\( T^{10} - \)\(92\!\cdots\!72\)\( T^{11} + \)\(42\!\cdots\!49\)\( T^{12} - \)\(14\!\cdots\!18\)\( T^{13} + \)\(67\!\cdots\!51\)\( T^{14} - \)\(87\!\cdots\!02\)\( T^{15} + \)\(62\!\cdots\!21\)\( T^{16} \))(\( 1 - 20 T + 114236 T^{2} - 3691196 T^{3} + 6749398788 T^{4} - 297908879340 T^{5} + 292920227539636 T^{6} - 13694176836356068 T^{7} + 9955576667399459590 T^{8} - \)\(40\!\cdots\!88\)\( T^{9} + \)\(25\!\cdots\!16\)\( T^{10} - \)\(78\!\cdots\!40\)\( T^{11} + \)\(53\!\cdots\!68\)\( T^{12} - \)\(86\!\cdots\!96\)\( T^{13} + \)\(79\!\cdots\!76\)\( T^{14} - \)\(41\!\cdots\!20\)\( T^{15} + \)\(62\!\cdots\!21\)\( T^{16} \))(\( 1 + 20 T + 114236 T^{2} + 3691196 T^{3} + 6749398788 T^{4} + 297908879340 T^{5} + 292920227539636 T^{6} + 13694176836356068 T^{7} + 9955576667399459590 T^{8} + \)\(40\!\cdots\!88\)\( T^{9} + \)\(25\!\cdots\!16\)\( T^{10} + \)\(78\!\cdots\!40\)\( T^{11} + \)\(53\!\cdots\!68\)\( T^{12} + \)\(86\!\cdots\!96\)\( T^{13} + \)\(79\!\cdots\!76\)\( T^{14} + \)\(41\!\cdots\!20\)\( T^{15} + \)\(62\!\cdots\!21\)\( T^{16} \))(\( 1 - 42 T + 96611 T^{2} - 6057618 T^{3} + 5413483509 T^{4} - 349791054732 T^{5} + 217080436610518 T^{6} - 14596941940772520 T^{7} + 6963019196540945158 T^{8} - \)\(43\!\cdots\!20\)\( T^{9} + \)\(19\!\cdots\!58\)\( T^{10} - \)\(92\!\cdots\!72\)\( T^{11} + \)\(42\!\cdots\!49\)\( T^{12} - \)\(14\!\cdots\!18\)\( T^{13} + \)\(67\!\cdots\!51\)\( T^{14} - \)\(87\!\cdots\!02\)\( T^{15} + \)\(62\!\cdots\!21\)\( T^{16} \))(\( 1 + 42 T + 96611 T^{2} + 6057618 T^{3} + 5413483509 T^{4} + 349791054732 T^{5} + 217080436610518 T^{6} + 14596941940772520 T^{7} + 6963019196540945158 T^{8} + \)\(43\!\cdots\!20\)\( T^{9} + \)\(19\!\cdots\!58\)\( T^{10} + \)\(92\!\cdots\!72\)\( T^{11} + \)\(42\!\cdots\!49\)\( T^{12} + \)\(14\!\cdots\!18\)\( T^{13} + \)\(67\!\cdots\!51\)\( T^{14} + \)\(87\!\cdots\!02\)\( T^{15} + \)\(62\!\cdots\!21\)\( T^{16} \))(\( 1 + 123992 T^{2} + 8890988022 T^{4} + 465795945169080 T^{6} + 19852516117280262479 T^{8} + \)\(72\!\cdots\!80\)\( T^{10} + \)\(23\!\cdots\!96\)\( T^{12} + \)\(64\!\cdots\!80\)\( T^{14} + \)\(15\!\cdots\!19\)\( T^{16} + \)\(32\!\cdots\!80\)\( T^{18} + \)\(55\!\cdots\!62\)\( T^{20} + \)\(68\!\cdots\!92\)\( T^{22} + \)\(48\!\cdots\!81\)\( T^{24} \))(\( 1 + 123992 T^{2} + 8890988022 T^{4} + 465795945169080 T^{6} + 19852516117280262479 T^{8} + \)\(72\!\cdots\!80\)\( T^{10} + \)\(23\!\cdots\!96\)\( T^{12} + \)\(64\!\cdots\!80\)\( T^{14} + \)\(15\!\cdots\!19\)\( T^{16} + \)\(32\!\cdots\!80\)\( T^{18} + \)\(55\!\cdots\!62\)\( T^{20} + \)\(68\!\cdots\!92\)\( T^{22} + \)\(48\!\cdots\!81\)\( T^{24} \))
$37$ (\( 1 + 40 T + 50653 T^{2} \))(\( 1 + 146 T + 50653 T^{2} \))(\( 1 + 70 T + 50653 T^{2} \))(\( 1 - 371 T + 50653 T^{2} \))(\( 1 + 259 T + 50653 T^{2} \))(\( 1 + 376 T + 50653 T^{2} \))(\( 1 + 259 T + 50653 T^{2} \))(\( 1 - 371 T + 50653 T^{2} \))(\( 1 + 434 T + 50653 T^{2} \))(\( 1 + 48 T + 50653 T^{2} \))(\( 1 + 210 T + 50653 T^{2} \))(\( 1 + 34 T + 50653 T^{2} \))(\( 1 + 48 T + 50653 T^{2} \))(\( 1 + 210 T + 50653 T^{2} \))(\( 1 - 434 T + 50653 T^{2} \))(\( 1 + 376 T + 50653 T^{2} \))(\( 1 - 266 T + 50653 T^{2} \))(\( 1 + 378 T + 50653 T^{2} \))(\( 1 + 378 T + 50653 T^{2} \))(\( 1 + 40 T + 50653 T^{2} \))(\( 1 - 564 T + 173630 T^{2} - 28568292 T^{3} + 2565726409 T^{4} \))(\( 1 + 188 T + 44542 T^{2} + 9522764 T^{3} + 2565726409 T^{4} \))(\( 1 - 328 T + 106906 T^{2} - 16614184 T^{3} + 2565726409 T^{4} \))(\( 1 - 328 T + 106906 T^{2} - 16614184 T^{3} + 2565726409 T^{4} \))(\( 1 - 6 T + 97490 T^{2} - 303918 T^{3} + 2565726409 T^{4} \))(\( 1 + 96 T + 82550 T^{2} + 4862688 T^{3} + 2565726409 T^{4} \))(\( 1 - 6 T + 97490 T^{2} - 303918 T^{3} + 2565726409 T^{4} \))(\( 1 + 132 T + 70814 T^{2} + 6686196 T^{3} + 2565726409 T^{4} \))(\( 1 - 18 T + 2819 T^{2} - 911754 T^{3} + 2565726409 T^{4} \))(\( 1 - 18 T + 2819 T^{2} - 911754 T^{3} + 2565726409 T^{4} \))(\( 1 - 204 T + 108830 T^{2} - 10333212 T^{3} + 2565726409 T^{4} \))(\( 1 + 416 T + 107578 T^{2} + 21071648 T^{3} + 2565726409 T^{4} \))(\( 1 + 416 T + 107578 T^{2} + 21071648 T^{3} + 2565726409 T^{4} \))(\( 1 + 132 T + 103214 T^{2} + 6686196 T^{3} + 2565726409 T^{4} \))(\( 1 - 43 T + 33294 T^{2} - 1889771 T^{3} + 1686440982 T^{4} - 110326235587 T^{5} + 129961739795077 T^{6} \))(\( 1 - 43 T + 33294 T^{2} - 1889771 T^{3} + 1686440982 T^{4} - 110326235587 T^{5} + 129961739795077 T^{6} \))(\( 1 - 302 T + 153027 T^{2} - 29168916 T^{3} + 7751276631 T^{4} - 774849375518 T^{5} + 129961739795077 T^{6} \))(\( 1 - 302 T + 153027 T^{2} - 29168916 T^{3} + 7751276631 T^{4} - 774849375518 T^{5} + 129961739795077 T^{6} \))(\( 1 + 54 T + 139843 T^{2} + 5496260 T^{3} + 7083467479 T^{4} + 138549226086 T^{5} + 129961739795077 T^{6} \))(\( 1 - 142 T + 141096 T^{2} - 11707722 T^{3} + 8900796190 T^{4} - 593031242466 T^{5} + 362013733404264 T^{6} - 18454567050900934 T^{7} + 6582952005840035281 T^{8} \))(\( 1 - 142 T + 141096 T^{2} - 11707722 T^{3} + 8900796190 T^{4} - 593031242466 T^{5} + 362013733404264 T^{6} - 18454567050900934 T^{7} + 6582952005840035281 T^{8} \))(\( 1 + 68 T + 139486 T^{2} + 12864308 T^{3} + 9170214850 T^{4} + 651615793124 T^{5} + 357882913885774 T^{6} + 8837398306065236 T^{7} + 6582952005840035281 T^{8} \))(\( 1 + 68 T + 139486 T^{2} + 12864308 T^{3} + 9170214850 T^{4} + 651615793124 T^{5} + 357882913885774 T^{6} + 8837398306065236 T^{7} + 6582952005840035281 T^{8} \))(\( 1 - 225 T + 126911 T^{2} - 15458474 T^{3} + 6538450969 T^{4} - 624052950007 T^{5} + 331192156932757 T^{6} - 39662214984639866 T^{7} + 16493574359133017147 T^{8} - \)\(14\!\cdots\!25\)\( T^{9} + \)\(33\!\cdots\!93\)\( T^{10} \))(\( 1 - 225 T + 126911 T^{2} - 15458474 T^{3} + 6538450969 T^{4} - 624052950007 T^{5} + 331192156932757 T^{6} - 39662214984639866 T^{7} + 16493574359133017147 T^{8} - \)\(14\!\cdots\!25\)\( T^{9} + \)\(33\!\cdots\!93\)\( T^{10} \))(\( 1 + 145 T + 136681 T^{2} + 19517508 T^{3} + 10851224194 T^{4} + 1121966157238 T^{5} + 549647059098682 T^{6} + 50076585713468772 T^{7} + 17763300556930919437 T^{8} + \)\(95\!\cdots\!45\)\( T^{9} + \)\(33\!\cdots\!93\)\( T^{10} \))(\( 1 + 145 T + 136681 T^{2} + 19517508 T^{3} + 10851224194 T^{4} + 1121966157238 T^{5} + 549647059098682 T^{6} + 50076585713468772 T^{7} + 17763300556930919437 T^{8} + \)\(95\!\cdots\!45\)\( T^{9} + \)\(33\!\cdots\!93\)\( T^{10} \))(\( 1 - 3 T + 197883 T^{2} - 4892626 T^{3} + 17416703473 T^{4} - 467476872809 T^{5} + 882208281017869 T^{6} - 12553139737560034 T^{7} + 25717218955869221991 T^{8} - 19748856017520105843 T^{9} + \)\(33\!\cdots\!93\)\( T^{10} \))(\( 1 - 3 T + 197883 T^{2} - 4892626 T^{3} + 17416703473 T^{4} - 467476872809 T^{5} + 882208281017869 T^{6} - 12553139737560034 T^{7} + 25717218955869221991 T^{8} - 19748856017520105843 T^{9} + \)\(33\!\cdots\!93\)\( T^{10} \))(\( ( 1 - 190 T + 99155 T^{2} - 19441940 T^{3} + 5022498215 T^{4} - 487488017710 T^{5} + 129961739795077 T^{6} )^{2} \))(\( ( 1 - 190 T + 99155 T^{2} - 19441940 T^{3} + 5022498215 T^{4} - 487488017710 T^{5} + 129961739795077 T^{6} )^{2} \))(\( 1 + 140 T + 213942 T^{2} + 12843948 T^{3} + 18729025499 T^{4} + 132721017192 T^{5} + 1059724116139756 T^{6} + 6722717683826376 T^{7} + 48053555337618703091 T^{8} + \)\(16\!\cdots\!96\)\( T^{9} + \)\(14\!\cdots\!02\)\( T^{10} + \)\(46\!\cdots\!20\)\( T^{11} + \)\(16\!\cdots\!29\)\( T^{12} \))(\( 1 + 140 T + 213942 T^{2} + 12843948 T^{3} + 18729025499 T^{4} + 132721017192 T^{5} + 1059724116139756 T^{6} + 6722717683826376 T^{7} + 48053555337618703091 T^{8} + \)\(16\!\cdots\!96\)\( T^{9} + \)\(14\!\cdots\!02\)\( T^{10} + \)\(46\!\cdots\!20\)\( T^{11} + \)\(16\!\cdots\!29\)\( T^{12} \))(\( 1 - 314 T + 252176 T^{2} - 58434480 T^{3} + 29392635686 T^{4} - 5616581001074 T^{5} + 2254572007443580 T^{6} - 366666057345498626 T^{7} + \)\(12\!\cdots\!03\)\( T^{8} - \)\(18\!\cdots\!78\)\( T^{9} + \)\(57\!\cdots\!20\)\( T^{10} - \)\(72\!\cdots\!98\)\( T^{11} + \)\(19\!\cdots\!66\)\( T^{12} - \)\(19\!\cdots\!40\)\( T^{13} + \)\(42\!\cdots\!04\)\( T^{14} - \)\(26\!\cdots\!18\)\( T^{15} + \)\(43\!\cdots\!61\)\( T^{16} \))(\( 1 - 314 T + 252176 T^{2} - 58434480 T^{3} + 29392635686 T^{4} - 5616581001074 T^{5} + 2254572007443580 T^{6} - 366666057345498626 T^{7} + \)\(12\!\cdots\!03\)\( T^{8} - \)\(18\!\cdots\!78\)\( T^{9} + \)\(57\!\cdots\!20\)\( T^{10} - \)\(72\!\cdots\!98\)\( T^{11} + \)\(19\!\cdots\!66\)\( T^{12} - \)\(19\!\cdots\!40\)\( T^{13} + \)\(42\!\cdots\!04\)\( T^{14} - \)\(26\!\cdots\!18\)\( T^{15} + \)\(43\!\cdots\!61\)\( T^{16} \))(\( 1 - 348 T + 224186 T^{2} - 56499884 T^{3} + 25545749024 T^{4} - 5417822079140 T^{5} + 1979685908829526 T^{6} - 370587486793175700 T^{7} + \)\(11\!\cdots\!94\)\( T^{8} - \)\(18\!\cdots\!00\)\( T^{9} + \)\(50\!\cdots\!34\)\( T^{10} - \)\(70\!\cdots\!80\)\( T^{11} + \)\(16\!\cdots\!44\)\( T^{12} - \)\(18\!\cdots\!12\)\( T^{13} + \)\(37\!\cdots\!94\)\( T^{14} - \)\(29\!\cdots\!76\)\( T^{15} + \)\(43\!\cdots\!61\)\( T^{16} \))(\( 1 - 348 T + 224186 T^{2} - 56499884 T^{3} + 25545749024 T^{4} - 5417822079140 T^{5} + 1979685908829526 T^{6} - 370587486793175700 T^{7} + \)\(11\!\cdots\!94\)\( T^{8} - \)\(18\!\cdots\!00\)\( T^{9} + \)\(50\!\cdots\!34\)\( T^{10} - \)\(70\!\cdots\!80\)\( T^{11} + \)\(16\!\cdots\!44\)\( T^{12} - \)\(18\!\cdots\!12\)\( T^{13} + \)\(37\!\cdots\!94\)\( T^{14} - \)\(29\!\cdots\!76\)\( T^{15} + \)\(43\!\cdots\!61\)\( T^{16} \))(\( 1 - 314 T + 252176 T^{2} - 58434480 T^{3} + 29392635686 T^{4} - 5616581001074 T^{5} + 2254572007443580 T^{6} - 366666057345498626 T^{7} + \)\(12\!\cdots\!03\)\( T^{8} - \)\(18\!\cdots\!78\)\( T^{9} + \)\(57\!\cdots\!20\)\( T^{10} - \)\(72\!\cdots\!98\)\( T^{11} + \)\(19\!\cdots\!66\)\( T^{12} - \)\(19\!\cdots\!40\)\( T^{13} + \)\(42\!\cdots\!04\)\( T^{14} - \)\(26\!\cdots\!18\)\( T^{15} + \)\(43\!\cdots\!61\)\( T^{16} \))(\( 1 - 314 T + 252176 T^{2} - 58434480 T^{3} + 29392635686 T^{4} - 5616581001074 T^{5} + 2254572007443580 T^{6} - 366666057345498626 T^{7} + \)\(12\!\cdots\!03\)\( T^{8} - \)\(18\!\cdots\!78\)\( T^{9} + \)\(57\!\cdots\!20\)\( T^{10} - \)\(72\!\cdots\!98\)\( T^{11} + \)\(19\!\cdots\!66\)\( T^{12} - \)\(19\!\cdots\!40\)\( T^{13} + \)\(42\!\cdots\!04\)\( T^{14} - \)\(26\!\cdots\!18\)\( T^{15} + \)\(43\!\cdots\!61\)\( T^{16} \))(\( ( 1 + 140 T + 84504 T^{2} + 6825756 T^{3} + 5079318671 T^{4} - 35468545176 T^{5} + 179552324384608 T^{6} - 1796588218799928 T^{7} + 13032142053911482439 T^{8} + \)\(88\!\cdots\!12\)\( T^{9} + \)\(55\!\cdots\!24\)\( T^{10} + \)\(46\!\cdots\!20\)\( T^{11} + \)\(16\!\cdots\!29\)\( T^{12} )^{2} \))(\( ( 1 + 140 T + 84504 T^{2} + 6825756 T^{3} + 5079318671 T^{4} - 35468545176 T^{5} + 179552324384608 T^{6} - 1796588218799928 T^{7} + 13032142053911482439 T^{8} + \)\(88\!\cdots\!12\)\( T^{9} + \)\(55\!\cdots\!24\)\( T^{10} + \)\(46\!\cdots\!20\)\( T^{11} + \)\(16\!\cdots\!29\)\( T^{12} )^{2} \))
$41$ (\( 1 - 400 T + 68921 T^{2} \))(\( 1 - 18 T + 68921 T^{2} \))(\( 1 - 330 T + 68921 T^{2} \))(\( 1 - 225 T + 68921 T^{2} \))(\( 1 + 195 T + 68921 T^{2} \))(\( 1 + 126 T + 68921 T^{2} \))(\( 1 - 195 T + 68921 T^{2} \))(\( 1 + 225 T + 68921 T^{2} \))(\( 1 - 402 T + 68921 T^{2} \))(\( 1 + 150 T + 68921 T^{2} \))(\( 1 - 444 T + 68921 T^{2} \))(\( 1 - 122 T + 68921 T^{2} \))(\( 1 - 150 T + 68921 T^{2} \))(\( 1 + 444 T + 68921 T^{2} \))(\( 1 + 282 T + 68921 T^{2} \))(\( 1 - 126 T + 68921 T^{2} \))(\( 1 - 22 T + 68921 T^{2} \))(\( 1 - 330 T + 68921 T^{2} \))(\( 1 + 330 T + 68921 T^{2} \))(\( 1 + 400 T + 68921 T^{2} \))(\( 1 + 328 T + 133986 T^{2} + 22606088 T^{3} + 4750104241 T^{4} \))(\( 1 - 16 T + 18350 T^{2} - 1102736 T^{3} + 4750104241 T^{4} \))(\( 1 + 300 T + 50342 T^{2} + 20676300 T^{3} + 4750104241 T^{4} \))(\( 1 - 300 T + 50342 T^{2} - 20676300 T^{3} + 4750104241 T^{4} \))(\( 1 + 176 T + 134094 T^{2} + 12130096 T^{3} + 4750104241 T^{4} \))(\( 1 + 176 T - 16914 T^{2} + 12130096 T^{3} + 4750104241 T^{4} \))(\( 1 - 176 T + 134094 T^{2} - 12130096 T^{3} + 4750104241 T^{4} \))(\( 1 - 100 T + 89142 T^{2} - 6892100 T^{3} + 4750104241 T^{4} \))(\( 1 - 152 T + 113850 T^{2} - 10475992 T^{3} + 4750104241 T^{4} \))(\( 1 + 152 T + 113850 T^{2} + 10475992 T^{3} + 4750104241 T^{4} \))(\( 1 - 44 T + 106326 T^{2} - 3032524 T^{3} + 4750104241 T^{4} \))(\( 1 - 106 T + 138851 T^{2} - 7305626 T^{3} + 4750104241 T^{4} \))(\( 1 + 106 T + 138851 T^{2} + 7305626 T^{3} + 4750104241 T^{4} \))(\( 1 - 200 T + 64542 T^{2} - 13784200 T^{3} + 4750104241 T^{4} \))(\( 1 - 599 T + 272999 T^{2} - 79436618 T^{3} + 18815364079 T^{4} - 2845312440359 T^{5} + 327381934393961 T^{6} \))(\( 1 + 599 T + 272999 T^{2} + 79436618 T^{3} + 18815364079 T^{4} + 2845312440359 T^{5} + 327381934393961 T^{6} \))(\( 1 - 626 T + 246775 T^{2} - 70209884 T^{3} + 17007979775 T^{4} - 2973565254866 T^{5} + 327381934393961 T^{6} \))(\( 1 + 626 T + 246775 T^{2} + 70209884 T^{3} + 17007979775 T^{4} + 2973565254866 T^{5} + 327381934393961 T^{6} \))(\( 1 - 362 T + 248299 T^{2} - 51434996 T^{3} + 17113015379 T^{4} - 1719537735242 T^{5} + 327381934393961 T^{6} \))(\( 1 + 168 T + 196668 T^{2} + 18475224 T^{3} + 17172320614 T^{4} + 1273330913304 T^{5} + 934193500868988 T^{6} + 55000164978185448 T^{7} + 22563490300366186081 T^{8} \))(\( 1 - 168 T + 196668 T^{2} - 18475224 T^{3} + 17172320614 T^{4} - 1273330913304 T^{5} + 934193500868988 T^{6} - 55000164978185448 T^{7} + 22563490300366186081 T^{8} \))(\( 1 + 56 T + 228308 T^{2} + 13060136 T^{3} + 22096579702 T^{4} + 900117633256 T^{5} + 1084486799054228 T^{6} + 18333388326061816 T^{7} + 22563490300366186081 T^{8} \))(\( 1 - 56 T + 228308 T^{2} - 13060136 T^{3} + 22096579702 T^{4} - 900117633256 T^{5} + 1084486799054228 T^{6} - 18333388326061816 T^{7} + 22563490300366186081 T^{8} \))(\( 1 + 341 T + 190073 T^{2} + 39759328 T^{3} + 16717012002 T^{4} + 3155754961314 T^{5} + 1152153184189842 T^{6} + 188860952552110048 T^{7} + 62226466416063349153 T^{8} + \)\(76\!\cdots\!21\)\( T^{9} + \)\(15\!\cdots\!01\)\( T^{10} \))(\( 1 - 341 T + 190073 T^{2} - 39759328 T^{3} + 16717012002 T^{4} - 3155754961314 T^{5} + 1152153184189842 T^{6} - 188860952552110048 T^{7} + 62226466416063349153 T^{8} - \)\(76\!\cdots\!21\)\( T^{9} + \)\(15\!\cdots\!01\)\( T^{10} \))(\( 1 + 281 T + 269231 T^{2} + 52376686 T^{3} + 31133332221 T^{4} + 4627148668935 T^{5} + 2145740390003541 T^{6} + 248794718298125326 T^{7} + 88141365578820513991 T^{8} + \)\(63\!\cdots\!61\)\( T^{9} + \)\(15\!\cdots\!01\)\( T^{10} \))(\( 1 - 281 T + 269231 T^{2} - 52376686 T^{3} + 31133332221 T^{4} - 4627148668935 T^{5} + 2145740390003541 T^{6} - 248794718298125326 T^{7} + 88141365578820513991 T^{8} - \)\(63\!\cdots\!61\)\( T^{9} + \)\(15\!\cdots\!01\)\( T^{10} \))(\( 1 + 627 T + 298461 T^{2} + 100221404 T^{3} + 28792732854 T^{4} + 7903095350774 T^{5} + 1984423941030534 T^{6} + 476062116179374364 T^{7} + 97710739521155994021 T^{8} + \)\(14\!\cdots\!87\)\( T^{9} + \)\(15\!\cdots\!01\)\( T^{10} \))(\( 1 - 627 T + 298461 T^{2} - 100221404 T^{3} + 28792732854 T^{4} - 7903095350774 T^{5} + 1984423941030534 T^{6} - 476062116179374364 T^{7} + 97710739521155994021 T^{8} - \)\(14\!\cdots\!87\)\( T^{9} + \)\(15\!\cdots\!01\)\( T^{10} \))(\( ( 1 + 306 T + 158503 T^{2} + 26678652 T^{3} + 10924185263 T^{4} + 1453531897746 T^{5} + 327381934393961 T^{6} )^{2} \))(\( ( 1 - 306 T + 158503 T^{2} - 26678652 T^{3} + 10924185263 T^{4} - 1453531897746 T^{5} + 327381934393961 T^{6} )^{2} \))(\( 1 - 656 T + 421976 T^{2} - 166159344 T^{3} + 65879968003 T^{4} - 19715169399936 T^{5} + 5871622216065200 T^{6} - 1358789190212989056 T^{7} + \)\(31\!\cdots\!23\)\( T^{8} - \)\(54\!\cdots\!84\)\( T^{9} + \)\(95\!\cdots\!56\)\( T^{10} - \)\(10\!\cdots\!56\)\( T^{11} + \)\(10\!\cdots\!21\)\( T^{12} \))(\( 1 + 656 T + 421976 T^{2} + 166159344 T^{3} + 65879968003 T^{4} + 19715169399936 T^{5} + 5871622216065200 T^{6} + 1358789190212989056 T^{7} + \)\(31\!\cdots\!23\)\( T^{8} + \)\(54\!\cdots\!84\)\( T^{9} + \)\(95\!\cdots\!56\)\( T^{10} + \)\(10\!\cdots\!56\)\( T^{11} + \)\(10\!\cdots\!21\)\( T^{12} \))(\( 1 + 28 T + 216661 T^{2} + 25231836 T^{3} + 27303884290 T^{4} + 4611558559256 T^{5} + 2574345713378451 T^{6} + 472812221510353088 T^{7} + \)\(19\!\cdots\!22\)\( T^{8} + \)\(32\!\cdots\!48\)\( T^{9} + \)\(12\!\cdots\!91\)\( T^{10} + \)\(15\!\cdots\!16\)\( T^{11} + \)\(61\!\cdots\!90\)\( T^{12} + \)\(39\!\cdots\!36\)\( T^{13} + \)\(23\!\cdots\!81\)\( T^{14} + \)\(20\!\cdots\!48\)\( T^{15} + \)\(50\!\cdots\!61\)\( T^{16} \))(\( 1 - 28 T + 216661 T^{2} - 25231836 T^{3} + 27303884290 T^{4} - 4611558559256 T^{5} + 2574345713378451 T^{6} - 472812221510353088 T^{7} + \)\(19\!\cdots\!22\)\( T^{8} - \)\(32\!\cdots\!48\)\( T^{9} + \)\(12\!\cdots\!91\)\( T^{10} - \)\(15\!\cdots\!16\)\( T^{11} + \)\(61\!\cdots\!90\)\( T^{12} - \)\(39\!\cdots\!36\)\( T^{13} + \)\(23\!\cdots\!81\)\( T^{14} - \)\(20\!\cdots\!48\)\( T^{15} + \)\(50\!\cdots\!61\)\( T^{16} \))(\( 1 + 944 T + 550976 T^{2} + 235945008 T^{3} + 88955758124 T^{4} + 28853432535504 T^{5} + 8681738136196608 T^{6} + 2426323335093291088 T^{7} + \)\(66\!\cdots\!66\)\( T^{8} + \)\(16\!\cdots\!48\)\( T^{9} + \)\(41\!\cdots\!28\)\( T^{10} + \)\(94\!\cdots\!44\)\( T^{11} + \)\(20\!\cdots\!44\)\( T^{12} + \)\(36\!\cdots\!08\)\( T^{13} + \)\(59\!\cdots\!96\)\( T^{14} + \)\(69\!\cdots\!04\)\( T^{15} + \)\(50\!\cdots\!61\)\( T^{16} \))(\( 1 - 944 T + 550976 T^{2} - 235945008 T^{3} + 88955758124 T^{4} - 28853432535504 T^{5} + 8681738136196608 T^{6} - 2426323335093291088 T^{7} + \)\(66\!\cdots\!66\)\( T^{8} - \)\(16\!\cdots\!48\)\( T^{9} + \)\(41\!\cdots\!28\)\( T^{10} - \)\(94\!\cdots\!44\)\( T^{11} + \)\(20\!\cdots\!44\)\( T^{12} - \)\(36\!\cdots\!08\)\( T^{13} + \)\(59\!\cdots\!96\)\( T^{14} - \)\(69\!\cdots\!04\)\( T^{15} + \)\(50\!\cdots\!61\)\( T^{16} \))(\( 1 + 28 T + 216661 T^{2} + 25231836 T^{3} + 27303884290 T^{4} + 4611558559256 T^{5} + 2574345713378451 T^{6} + 472812221510353088 T^{7} + \)\(19\!\cdots\!22\)\( T^{8} + \)\(32\!\cdots\!48\)\( T^{9} + \)\(12\!\cdots\!91\)\( T^{10} + \)\(15\!\cdots\!16\)\( T^{11} + \)\(61\!\cdots\!90\)\( T^{12} + \)\(39\!\cdots\!36\)\( T^{13} + \)\(23\!\cdots\!81\)\( T^{14} + \)\(20\!\cdots\!48\)\( T^{15} + \)\(50\!\cdots\!61\)\( T^{16} \))(\( 1 - 28 T + 216661 T^{2} - 25231836 T^{3} + 27303884290 T^{4} - 4611558559256 T^{5} + 2574345713378451 T^{6} - 472812221510353088 T^{7} + \)\(19\!\cdots\!22\)\( T^{8} - \)\(32\!\cdots\!48\)\( T^{9} + \)\(12\!\cdots\!91\)\( T^{10} - \)\(15\!\cdots\!16\)\( T^{11} + \)\(61\!\cdots\!90\)\( T^{12} - \)\(39\!\cdots\!36\)\( T^{13} + \)\(23\!\cdots\!81\)\( T^{14} - \)\(20\!\cdots\!48\)\( T^{15} + \)\(50\!\cdots\!61\)\( T^{16} \))(\( ( 1 - 188 T + 241706 T^{2} - 38082828 T^{3} + 31140334879 T^{4} - 4262940763224 T^{5} + 2590356812207948 T^{6} - 293806140342161304 T^{7} + \)\(14\!\cdots\!39\)\( T^{8} - \)\(12\!\cdots\!08\)\( T^{9} + \)\(54\!\cdots\!86\)\( T^{10} - \)\(29\!\cdots\!88\)\( T^{11} + \)\(10\!\cdots\!21\)\( T^{12} )^{2} \))(\( ( 1 + 188 T + 241706 T^{2} + 38082828 T^{3} + 31140334879 T^{4} + 4262940763224 T^{5} + 2590356812207948 T^{6} + 293806140342161304 T^{7} + \)\(14\!\cdots\!39\)\( T^{8} + \)\(12\!\cdots\!08\)\( T^{9} + \)\(54\!\cdots\!86\)\( T^{10} + \)\(29\!\cdots\!88\)\( T^{11} + \)\(10\!\cdots\!21\)\( T^{12} )^{2} \))
$43$ (\( 1 - 280 T + 79507 T^{2} \))(\( 1 - 340 T + 79507 T^{2} \))(\( 1 - 92 T + 79507 T^{2} \))(\( 1 - 344 T + 79507 T^{2} \))(\( 1 + 286 T + 79507 T^{2} \))(\( 1 + 34 T + 79507 T^{2} \))(\( 1 + 286 T + 79507 T^{2} \))(\( 1 - 344 T + 79507 T^{2} \))(\( 1 + 68 T + 79507 T^{2} \))(\( 1 + 426 T + 79507 T^{2} \))(\( 1 - 492 T + 79507 T^{2} \))(\( 1 + 188 T + 79507 T^{2} \))(\( 1 + 426 T + 79507 T^{2} \))(\( 1 - 492 T + 79507 T^{2} \))(\( 1 - 20 T + 79507 T^{2} \))(\( 1 + 34 T + 79507 T^{2} \))(\( 1 - 442 T + 79507 T^{2} \))(\( 1 - 204 T + 79507 T^{2} \))(\( 1 - 204 T + 79507 T^{2} \))(\( 1 - 280 T + 79507 T^{2} \))(\( 1 + 260 T + 166666 T^{2} + 20671820 T^{3} + 6321363049 T^{4} \))(\( 1 + 396 T + 95718 T^{2} + 31484772 T^{3} + 6321363049 T^{4} \))(\( 1 + 116 T + 160794 T^{2} + 9222812 T^{3} + 6321363049 T^{4} \))(\( 1 + 116 T + 160794 T^{2} + 9222812 T^{3} + 6321363049 T^{4} \))(\( 1 - 46 T + 42430 T^{2} - 3657322 T^{3} + 6321363049 T^{4} \))(\( 1 + 344 T + 171958 T^{2} + 27350408 T^{3} + 6321363049 T^{4} \))(\( 1 - 46 T + 42430 T^{2} - 3657322 T^{3} + 6321363049 T^{4} \))(\( 1 + 536 T + 200086 T^{2} + 42615752 T^{3} + 6321363049 T^{4} \))(\( 1 + 842 T + 333367 T^{2} + 66944894 T^{3} + 6321363049 T^{4} \))(\( 1 + 842 T + 333367 T^{2} + 66944894 T^{3} + 6321363049 T^{4} \))(\( 1 - 136 T + 81718 T^{2} - 10812952 T^{3} + 6321363049 T^{4} \))(\( 1 + 666 T + 269853 T^{2} + 52951662 T^{3} + 6321363049 T^{4} \))(\( 1 + 666 T + 269853 T^{2} + 52951662 T^{3} + 6321363049 T^{4} \))(\( 1 - 364 T + 172486 T^{2} - 28940548 T^{3} + 6321363049 T^{4} \))(\( 1 - 170 T + 62886 T^{2} - 25979064 T^{3} + 4999877202 T^{4} - 1074631718330 T^{5} + 502592611936843 T^{6} \))(\( 1 - 170 T + 62886 T^{2} - 25979064 T^{3} + 4999877202 T^{4} - 1074631718330 T^{5} + 502592611936843 T^{6} \))(\( 1 + 68 T + 56521 T^{2} + 70488 T^{3} + 4493815147 T^{4} + 429852687332 T^{5} + 502592611936843 T^{6} \))(\( 1 + 68 T + 56521 T^{2} + 70488 T^{3} + 4493815147 T^{4} + 429852687332 T^{5} + 502592611936843 T^{6} \))(\( 1 + 16 T + 149005 T^{2} + 1019664 T^{3} + 11846940535 T^{4} + 101141808784 T^{5} + 502592611936843 T^{6} \))(\( 1 - 286 T + 212324 T^{2} - 38032302 T^{3} + 20546236934 T^{4} - 3023834235114 T^{5} + 1342177088015876 T^{6} - 143741487013937098 T^{7} + 39959630797262576401 T^{8} \))(\( 1 - 286 T + 212324 T^{2} - 38032302 T^{3} + 20546236934 T^{4} - 3023834235114 T^{5} + 1342177088015876 T^{6} - 143741487013937098 T^{7} + 39959630797262576401 T^{8} \))(\( 1 - 20 T + 232750 T^{2} + 1764700 T^{3} + 24821861602 T^{4} + 140306002900 T^{5} + 1471297249654750 T^{6} - 10051852238736860 T^{7} + 39959630797262576401 T^{8} \))(\( 1 - 20 T + 232750 T^{2} + 1764700 T^{3} + 24821861602 T^{4} + 140306002900 T^{5} + 1471297249654750 T^{6} - 10051852238736860 T^{7} + 39959630797262576401 T^{8} \))(\( 1 - 32 T + 218617 T^{2} + 27320644 T^{3} + 18062796109 T^{4} + 4794346174172 T^{5} + 1436118730238263 T^{6} + 172703709456483556 T^{7} + \)\(10\!\cdots\!31\)\( T^{8} - \)\(12\!\cdots\!32\)\( T^{9} + \)\(31\!\cdots\!07\)\( T^{10} \))(\( 1 - 32 T + 218617 T^{2} + 27320644 T^{3} + 18062796109 T^{4} + 4794346174172 T^{5} + 1436118730238263 T^{6} + 172703709456483556 T^{7} + \)\(10\!\cdots\!31\)\( T^{8} - \)\(12\!\cdots\!32\)\( T^{9} + \)\(31\!\cdots\!07\)\( T^{10} \))(\( 1 - 568 T + 328987 T^{2} - 103968566 T^{3} + 38129237297 T^{4} - 9424317397102 T^{5} + 3031541269772579 T^{6} - 657223051369917734 T^{7} + \)\(16\!\cdots\!41\)\( T^{8} - \)\(22\!\cdots\!68\)\( T^{9} + \)\(31\!\cdots\!07\)\( T^{10} \))(\( 1 - 568 T + 328987 T^{2} - 103968566 T^{3} + 38129237297 T^{4} - 9424317397102 T^{5} + 3031541269772579 T^{6} - 657223051369917734 T^{7} + \)\(16\!\cdots\!41\)\( T^{8} - \)\(22\!\cdots\!68\)\( T^{9} + \)\(31\!\cdots\!07\)\( T^{10} \))(\( 1 - 108 T + 178357 T^{2} - 39070996 T^{3} + 22552051325 T^{4} - 3630162418200 T^{5} + 1793045944696775 T^{6} - 246981950402026804 T^{7} + 89640910487219506951 T^{8} - \)\(43\!\cdots\!08\)\( T^{9} + \)\(31\!\cdots\!07\)\( T^{10} \))(\( 1 - 108 T + 178357 T^{2} - 39070996 T^{3} + 22552051325 T^{4} - 3630162418200 T^{5} + 1793045944696775 T^{6} - 246981950402026804 T^{7} + 89640910487219506951 T^{8} - \)\(43\!\cdots\!08\)\( T^{9} + \)\(31\!\cdots\!07\)\( T^{10} \))(\( ( 1 + 164 T + 238921 T^{2} + 25708696 T^{3} + 18995891947 T^{4} + 1036703540036 T^{5} + 502592611936843 T^{6} )^{2} \))(\( ( 1 + 164 T + 238921 T^{2} + 25708696 T^{3} + 18995891947 T^{4} + 1036703540036 T^{5} + 502592611936843 T^{6} )^{2} \))(\( 1 + 388 T + 421158 T^{2} + 116550300 T^{3} + 73177187783 T^{4} + 15517478343240 T^{5} + 7317237698378164 T^{6} + 1233748150635982680 T^{7} + \)\(46\!\cdots\!67\)\( T^{8} + \)\(58\!\cdots\!00\)\( T^{9} + \)\(16\!\cdots\!58\)\( T^{10} + \)\(12\!\cdots\!16\)\( T^{11} + \)\(25\!\cdots\!49\)\( T^{12} \))(\( 1 + 388 T + 421158 T^{2} + 116550300 T^{3} + 73177187783 T^{4} + 15517478343240 T^{5} + 7317237698378164 T^{6} + 1233748150635982680 T^{7} + \)\(46\!\cdots\!67\)\( T^{8} + \)\(58\!\cdots\!00\)\( T^{9} + \)\(16\!\cdots\!58\)\( T^{10} + \)\(12\!\cdots\!16\)\( T^{11} + \)\(25\!\cdots\!49\)\( T^{12} \))(\( 1 - 714 T + 617563 T^{2} - 317019278 T^{3} + 164812325837 T^{4} - 65914085981044 T^{5} + 25399861381117246 T^{6} - 8175469410236856396 T^{7} + \)\(24\!\cdots\!34\)\( T^{8} - \)\(65\!\cdots\!72\)\( T^{9} + \)\(16\!\cdots\!54\)\( T^{10} - \)\(33\!\cdots\!92\)\( T^{11} + \)\(65\!\cdots\!37\)\( T^{12} - \)\(10\!\cdots\!46\)\( T^{13} + \)\(15\!\cdots\!87\)\( T^{14} - \)\(14\!\cdots\!02\)\( T^{15} + \)\(15\!\cdots\!01\)\( T^{16} \))(\( 1 - 714 T + 617563 T^{2} - 317019278 T^{3} + 164812325837 T^{4} - 65914085981044 T^{5} + 25399861381117246 T^{6} - 8175469410236856396 T^{7} + \)\(24\!\cdots\!34\)\( T^{8} - \)\(65\!\cdots\!72\)\( T^{9} + \)\(16\!\cdots\!54\)\( T^{10} - \)\(33\!\cdots\!92\)\( T^{11} + \)\(65\!\cdots\!37\)\( T^{12} - \)\(10\!\cdots\!46\)\( T^{13} + \)\(15\!\cdots\!87\)\( T^{14} - \)\(14\!\cdots\!02\)\( T^{15} + \)\(15\!\cdots\!01\)\( T^{16} \))(\( 1 - 1116 T + 834170 T^{2} - 425138140 T^{3} + 166257143648 T^{4} - 49389440988892 T^{5} + 11529879967265110 T^{6} - 2187811703568276348 T^{7} + \)\(48\!\cdots\!54\)\( T^{8} - \)\(17\!\cdots\!36\)\( T^{9} + \)\(72\!\cdots\!90\)\( T^{10} - \)\(24\!\cdots\!56\)\( T^{11} + \)\(66\!\cdots\!48\)\( T^{12} - \)\(13\!\cdots\!80\)\( T^{13} + \)\(21\!\cdots\!30\)\( T^{14} - \)\(22\!\cdots\!88\)\( T^{15} + \)\(15\!\cdots\!01\)\( T^{16} \))(\( 1 - 1116 T + 834170 T^{2} - 425138140 T^{3} + 166257143648 T^{4} - 49389440988892 T^{5} + 11529879967265110 T^{6} - 2187811703568276348 T^{7} + \)\(48\!\cdots\!54\)\( T^{8} - \)\(17\!\cdots\!36\)\( T^{9} + \)\(72\!\cdots\!90\)\( T^{10} - \)\(24\!\cdots\!56\)\( T^{11} + \)\(66\!\cdots\!48\)\( T^{12} - \)\(13\!\cdots\!80\)\( T^{13} + \)\(21\!\cdots\!30\)\( T^{14} - \)\(22\!\cdots\!88\)\( T^{15} + \)\(15\!\cdots\!01\)\( T^{16} \))(\( 1 - 714 T + 617563 T^{2} - 317019278 T^{3} + 164812325837 T^{4} - 65914085981044 T^{5} + 25399861381117246 T^{6} - 8175469410236856396 T^{7} + \)\(24\!\cdots\!34\)\( T^{8} - \)\(65\!\cdots\!72\)\( T^{9} + \)\(16\!\cdots\!54\)\( T^{10} - \)\(33\!\cdots\!92\)\( T^{11} + \)\(65\!\cdots\!37\)\( T^{12} - \)\(10\!\cdots\!46\)\( T^{13} + \)\(15\!\cdots\!87\)\( T^{14} - \)\(14\!\cdots\!02\)\( T^{15} + \)\(15\!\cdots\!01\)\( T^{16} \))(\( 1 - 714 T + 617563 T^{2} - 317019278 T^{3} + 164812325837 T^{4} - 65914085981044 T^{5} + 25399861381117246 T^{6} - 8175469410236856396 T^{7} + \)\(24\!\cdots\!34\)\( T^{8} - \)\(65\!\cdots\!72\)\( T^{9} + \)\(16\!\cdots\!54\)\( T^{10} - \)\(33\!\cdots\!92\)\( T^{11} + \)\(65\!\cdots\!37\)\( T^{12} - \)\(10\!\cdots\!46\)\( T^{13} + \)\(15\!\cdots\!87\)\( T^{14} - \)\(14\!\cdots\!02\)\( T^{15} + \)\(15\!\cdots\!01\)\( T^{16} \))(\( ( 1 + 928 T + 642216 T^{2} + 319846080 T^{3} + 135779471807 T^{4} + 47449116436320 T^{5} + 14538597287638816 T^{6} + 3772536900502494240 T^{7} + \)\(85\!\cdots\!43\)\( T^{8} + \)\(16\!\cdots\!40\)\( T^{9} + \)\(25\!\cdots\!16\)\( T^{10} + \)\(29\!\cdots\!96\)\( T^{11} + \)\(25\!\cdots\!49\)\( T^{12} )^{2} \))(\( ( 1 + 928 T + 642216 T^{2} + 319846080 T^{3} + 135779471807 T^{4} + 47449116436320 T^{5} + 14538597287638816 T^{6} + 3772536900502494240 T^{7} + \)\(85\!\cdots\!43\)\( T^{8} + \)\(16\!\cdots\!40\)\( T^{9} + \)\(25\!\cdots\!16\)\( T^{10} + \)\(29\!\cdots\!96\)\( T^{11} + \)\(25\!\cdots\!49\)\( T^{12} )^{2} \))
$47$ (\( 1 + 280 T + 103823 T^{2} \))(\( 1 - 208 T + 103823 T^{2} \))(\( 1 + 24 T + 103823 T^{2} \))(\( 1 - 375 T + 103823 T^{2} \))(\( 1 + 45 T + 103823 T^{2} \))(\( 1 + 6 T + 103823 T^{2} \))(\( 1 - 45 T + 103823 T^{2} \))(\( 1 + 375 T + 103823 T^{2} \))(\( 1 - 536 T + 103823 T^{2} \))(\( 1 + 18 T + 103823 T^{2} \))(\( 1 + 612 T + 103823 T^{2} \))(\( 1 - 256 T + 103823 T^{2} \))(\( 1 - 18 T + 103823 T^{2} \))(\( 1 - 612 T + 103823 T^{2} \))(\( 1 + 72 T + 103823 T^{2} \))(\( 1 - 6 T + 103823 T^{2} \))(\( 1 + 514 T + 103823 T^{2} \))(\( 1 - 312 T + 103823 T^{2} \))(\( 1 + 312 T + 103823 T^{2} \))(\( 1 - 280 T + 103823 T^{2} \))(\( 1 + 350 T + 203423 T^{2} + 36338050 T^{3} + 10779215329 T^{4} \))(\( 1 + 188 T + 15582 T^{2} + 19518724 T^{3} + 10779215329 T^{4} \))(\( 1 - 30 T + 190271 T^{2} - 3114690 T^{3} + 10779215329 T^{4} \))(\( 1 + 30 T + 190271 T^{2} + 3114690 T^{3} + 10779215329 T^{4} \))(\( 1 + 514 T + 269870 T^{2} + 53365022 T^{3} + 10779215329 T^{4} \))(\( 1 - 560 T + 248606 T^{2} - 58140880 T^{3} + 10779215329 T^{4} \))(\( 1 - 514 T + 269870 T^{2} - 53365022 T^{3} + 10779215329 T^{4} \))(\( 1 + 928 T + 408830 T^{2} + 96347744 T^{3} + 10779215329 T^{4} \))(\( 1 + 212 T + 190082 T^{2} + 22010476 T^{3} + 10779215329 T^{4} \))(\( 1 - 212 T + 190082 T^{2} - 22010476 T^{3} + 10779215329 T^{4} \))(\( 1 - 400 T + 106526 T^{2} - 41529200 T^{3} + 10779215329 T^{4} \))(\( 1 - 196 T + 209058 T^{2} - 20349308 T^{3} + 10779215329 T^{4} \))(\( 1 + 196 T + 209058 T^{2} + 20349308 T^{3} + 10779215329 T^{4} \))(\( 1 - 292 T + 179390 T^{2} - 30316316 T^{3} + 10779215329 T^{4} \))(\( 1 - 3 T + 72213 T^{2} - 31379318 T^{3} + 7497370299 T^{4} - 32337645987 T^{5} + 1119130473102767 T^{6} \))(\( 1 + 3 T + 72213 T^{2} + 31379318 T^{3} + 7497370299 T^{4} + 32337645987 T^{5} + 1119130473102767 T^{6} \))(\( 1 - 936 T + 600637 T^{2} - 223876784 T^{3} + 62359935251 T^{4} - 10089345547944 T^{5} + 1119130473102767 T^{6} \))(\( 1 + 936 T + 600637 T^{2} + 223876784 T^{3} + 62359935251 T^{4} + 10089345547944 T^{5} + 1119130473102767 T^{6} \))(\( 1 + 730 T + 427526 T^{2} + 156550492 T^{3} + 44387031898 T^{4} + 7868827190170 T^{5} + 1119130473102767 T^{6} \))(\( 1 - 306 T + 372588 T^{2} - 89451786 T^{3} + 55671907558 T^{4} - 9287152777878 T^{5} + 4016206281001452 T^{6} - 342453924769446702 T^{7} + \)\(11\!\cdots\!41\)\( T^{8} \))(\( 1 + 306 T + 372588 T^{2} + 89451786 T^{3} + 55671907558 T^{4} + 9287152777878 T^{5} + 4016206281001452 T^{6} + 342453924769446702 T^{7} + \)\(11\!\cdots\!41\)\( T^{8} \))(\( 1 + 744 T + 484154 T^{2} + 215967888 T^{3} + 79251159618 T^{4} + 22422434035824 T^{5} + 5218800218396666 T^{6} + 832633071988458648 T^{7} + \)\(11\!\cdots\!41\)\( T^{8} \))(\( 1 - 744 T + 484154 T^{2} - 215967888 T^{3} + 79251159618 T^{4} - 22422434035824 T^{5} + 5218800218396666 T^{6} - 832633071988458648 T^{7} + \)\(11\!\cdots\!41\)\( T^{8} \))(\( 1 + 25 T + 228235 T^{2} + 39403668 T^{3} + 27079929914 T^{4} + 7203532128886 T^{5} + 2811519563461222 T^{6} + 424740622124426772 T^{7} + \)\(25\!\cdots\!45\)\( T^{8} + \)\(29\!\cdots\!25\)\( T^{9} + \)\(12\!\cdots\!43\)\( T^{10} \))(\( 1 - 25 T + 228235 T^{2} - 39403668 T^{3} + 27079929914 T^{4} - 7203532128886 T^{5} + 2811519563461222 T^{6} - 424740622124426772 T^{7} + \)\(25\!\cdots\!45\)\( T^{8} - \)\(29\!\cdots\!25\)\( T^{9} + \)\(12\!\cdots\!43\)\( T^{10} \))(\( 1 + 473 T + 422915 T^{2} + 129059756 T^{3} + 68645838882 T^{4} + 16224661808822 T^{5} + 7127016930245886 T^{6} + 1391162900232199724 T^{7} + \)\(47\!\cdots\!05\)\( T^{8} + \)\(54\!\cdots\!93\)\( T^{9} + \)\(12\!\cdots\!43\)\( T^{10} \))(\( 1 - 473 T + 422915 T^{2} - 129059756 T^{3} + 68645838882 T^{4} - 16224661808822 T^{5} + 7127016930245886 T^{6} - 1391162900232199724 T^{7} + \)\(47\!\cdots\!05\)\( T^{8} - \)\(54\!\cdots\!93\)\( T^{9} + \)\(12\!\cdots\!43\)\( T^{10} \))(\( 1 + 553 T + 462491 T^{2} + 182495540 T^{3} + 84953263818 T^{4} + 25846385533590 T^{5} + 8820102709376214 T^{6} + 1967158722242132660 T^{7} + \)\(51\!\cdots\!97\)\( T^{8} + \)\(64\!\cdots\!73\)\( T^{9} + \)\(12\!\cdots\!43\)\( T^{10} \))(\( 1 - 553 T + 462491 T^{2} - 182495540 T^{3} + 84953263818 T^{4} - 25846385533590 T^{5} + 8820102709376214 T^{6} - 1967158722242132660 T^{7} + \)\(51\!\cdots\!97\)\( T^{8} - \)\(64\!\cdots\!73\)\( T^{9} + \)\(12\!\cdots\!43\)\( T^{10} \))(\( ( 1 + 60 T + 110269 T^{2} - 5181240 T^{3} + 11448458387 T^{4} + 646752919740 T^{5} + 1119130473102767 T^{6} )^{2} \))(\( ( 1 - 60 T + 110269 T^{2} + 5181240 T^{3} + 11448458387 T^{4} - 646752919740 T^{5} + 1119130473102767 T^{6} )^{2} \))(\( 1 - 628 T + 589452 T^{2} - 246437960 T^{3} + 139029029008 T^{4} - 44711775028180 T^{5} + 18650987083950686 T^{6} - 4642110618750732140 T^{7} + \)\(14\!\cdots\!32\)\( T^{8} - \)\(27\!\cdots\!20\)\( T^{9} + \)\(68\!\cdots\!32\)\( T^{10} - \)\(75\!\cdots\!04\)\( T^{11} + \)\(12\!\cdots\!89\)\( T^{12} \))(\( 1 + 628 T + 589452 T^{2} + 246437960 T^{3} + 139029029008 T^{4} + 44711775028180 T^{5} + 18650987083950686 T^{6} + 4642110618750732140 T^{7} + \)\(14\!\cdots\!32\)\( T^{8} + \)\(27\!\cdots\!20\)\( T^{9} + \)\(68\!\cdots\!32\)\( T^{10} + \)\(75\!\cdots\!04\)\( T^{11} + \)\(12\!\cdots\!89\)\( T^{12} \))(\( 1 - 326 T + 508997 T^{2} - 127051530 T^{3} + 116963061418 T^{4} - 21892405559386 T^{5} + 17030356226507947 T^{6} - 2504743373484258326 T^{7} + \)\(19\!\cdots\!14\)\( T^{8} - \)\(26\!\cdots\!98\)\( T^{9} + \)\(18\!\cdots\!63\)\( T^{10} - \)\(24\!\cdots\!62\)\( T^{11} + \)\(13\!\cdots\!38\)\( T^{12} - \)\(15\!\cdots\!90\)\( T^{13} + \)\(63\!\cdots\!33\)\( T^{14} - \)\(42\!\cdots\!22\)\( T^{15} + \)\(13\!\cdots\!81\)\( T^{16} \))(\( 1 + 326 T + 508997 T^{2} + 127051530 T^{3} + 116963061418 T^{4} + 21892405559386 T^{5} + 17030356226507947 T^{6} + 2504743373484258326 T^{7} + \)\(19\!\cdots\!14\)\( T^{8} + \)\(26\!\cdots\!98\)\( T^{9} + \)\(18\!\cdots\!63\)\( T^{10} + \)\(24\!\cdots\!62\)\( T^{11} + \)\(13\!\cdots\!38\)\( T^{12} + \)\(15\!\cdots\!90\)\( T^{13} + \)\(63\!\cdots\!33\)\( T^{14} + \)\(42\!\cdots\!22\)\( T^{15} + \)\(13\!\cdots\!81\)\( T^{16} \))(\( 1 - 208 T + 410782 T^{2} - 108070440 T^{3} + 91585947248 T^{4} - 24589568095000 T^{5} + 14922103004686338 T^{6} - 3505956335098493504 T^{7} + \)\(18\!\cdots\!18\)\( T^{8} - \)\(36\!\cdots\!92\)\( T^{9} + \)\(16\!\cdots\!02\)\( T^{10} - \)\(27\!\cdots\!00\)\( T^{11} + \)\(10\!\cdots\!68\)\( T^{12} - \)\(13\!\cdots\!20\)\( T^{13} + \)\(51\!\cdots\!98\)\( T^{14} - \)\(27\!\cdots\!76\)\( T^{15} + \)\(13\!\cdots\!81\)\( T^{16} \))(\( 1 + 208 T + 410782 T^{2} + 108070440 T^{3} + 91585947248 T^{4} + 24589568095000 T^{5} + 14922103004686338 T^{6} + 3505956335098493504 T^{7} + \)\(18\!\cdots\!18\)\( T^{8} + \)\(36\!\cdots\!92\)\( T^{9} + \)\(16\!\cdots\!02\)\( T^{10} + \)\(27\!\cdots\!00\)\( T^{11} + \)\(10\!\cdots\!68\)\( T^{12} + \)\(13\!\cdots\!20\)\( T^{13} + \)\(51\!\cdots\!98\)\( T^{14} + \)\(27\!\cdots\!76\)\( T^{15} + \)\(13\!\cdots\!81\)\( T^{16} \))(\( 1 - 326 T + 508997 T^{2} - 127051530 T^{3} + 116963061418 T^{4} - 21892405559386 T^{5} + 17030356226507947 T^{6} - 2504743373484258326 T^{7} + \)\(19\!\cdots\!14\)\( T^{8} - \)\(26\!\cdots\!98\)\( T^{9} + \)\(18\!\cdots\!63\)\( T^{10} - \)\(24\!\cdots\!62\)\( T^{11} + \)\(13\!\cdots\!38\)\( T^{12} - \)\(15\!\cdots\!90\)\( T^{13} + \)\(63\!\cdots\!33\)\( T^{14} - \)\(42\!\cdots\!22\)\( T^{15} + \)\(13\!\cdots\!81\)\( T^{16} \))(\( 1 + 326 T + 508997 T^{2} + 127051530 T^{3} + 116963061418 T^{4} + 21892405559386 T^{5} + 17030356226507947 T^{6} + 2504743373484258326 T^{7} + \)\(19\!\cdots\!14\)\( T^{8} + \)\(26\!\cdots\!98\)\( T^{9} + \)\(18\!\cdots\!63\)\( T^{10} + \)\(24\!\cdots\!62\)\( T^{11} + \)\(13\!\cdots\!38\)\( T^{12} + \)\(15\!\cdots\!90\)\( T^{13} + \)\(63\!\cdots\!33\)\( T^{14} + \)\(42\!\cdots\!22\)\( T^{15} + \)\(13\!\cdots\!81\)\( T^{16} \))(\( ( 1 - 484 T + 282552 T^{2} - 104017028 T^{3} + 46697032519 T^{4} - 15269982908320 T^{5} + 6084769224529376 T^{6} - 1585375435490507360 T^{7} + \)\(50\!\cdots\!51\)\( T^{8} - \)\(11\!\cdots\!76\)\( T^{9} + \)\(32\!\cdots\!32\)\( T^{10} - \)\(58\!\cdots\!12\)\( T^{11} + \)\(12\!\cdots\!89\)\( T^{12} )^{2} \))(\( ( 1 + 484 T + 282552 T^{2} + 104017028 T^{3} + 46697032519 T^{4} + 15269982908320 T^{5} + 6084769224529376 T^{6} + 1585375435490507360 T^{7} + \)\(50\!\cdots\!51\)\( T^{8} + \)\(11\!\cdots\!76\)\( T^{9} + \)\(32\!\cdots\!32\)\( T^{10} + \)\(58\!\cdots\!12\)\( T^{11} + \)\(12\!\cdots\!89\)\( T^{12} )^{2} \))
$53$ (\( 1 - 610 T + 148877 T^{2} \))(\( 1 - 754 T + 148877 T^{2} \))(\( 1 + 450 T + 148877 T^{2} \))(\( 1 - 663 T + 148877 T^{2} \))(\( 1 + 597 T + 148877 T^{2} \))(\( 1 + 582 T + 148877 T^{2} \))(\( 1 + 597 T + 148877 T^{2} \))(\( 1 - 663 T + 148877 T^{2} \))(\( 1 + 22 T + 148877 T^{2} \))(\( 1 - 58 T + 148877 T^{2} \))(\( 1 + 50 T + 148877 T^{2} \))(\( 1 - 338 T + 148877 T^{2} \))(\( 1 - 58 T + 148877 T^{2} \))(\( 1 + 50 T + 148877 T^{2} \))(\( 1 + 336 T + 148877 T^{2} \))(\( 1 - 582 T + 148877 T^{2} \))(\( 1 + 2 T + 148877 T^{2} \))(\( 1 + 142 T + 148877 T^{2} \))(\( 1 + 142 T + 148877 T^{2} \))(\( 1 + 610 T + 148877 T^{2} \))(\( 1 - 56 T + 265770 T^{2} - 8337112 T^{3} + 22164361129 T^{4} \))(\( 1 + 982 T + 504354 T^{2} + 146197214 T^{3} + 22164361129 T^{4} \))(\( 1 + 540 T + 212254 T^{2} + 80393580 T^{3} + 22164361129 T^{4} \))(\( 1 + 540 T + 212254 T^{2} + 80393580 T^{3} + 22164361129 T^{4} \))(\( 1 - 808 T + 449478 T^{2} - 120292616 T^{3} + 22164361129 T^{4} \))(\( 1 + 326 T + 204138 T^{2} + 48533902 T^{3} + 22164361129 T^{4} \))(\( 1 + 808 T + 449478 T^{2} + 120292616 T^{3} + 22164361129 T^{4} \))(\( 1 + 884 T + 460350 T^{2} + 131607268 T^{3} + 22164361129 T^{4} \))(\( 1 - 368 T + 325338 T^{2} - 54786736 T^{3} + 22164361129 T^{4} \))(\( 1 - 368 T + 325338 T^{2} - 54786736 T^{3} + 22164361129 T^{4} \))(\( 1 + 16 T + 260838 T^{2} + 2382032 T^{3} + 22164361129 T^{4} \))(\( 1 - 952 T + 484002 T^{2} - 141730904 T^{3} + 22164361129 T^{4} \))(\( 1 - 952 T + 484002 T^{2} - 141730904 T^{3} + 22164361129 T^{4} \))(\( 1 + 34 T + 103410 T^{2} + 5061818 T^{3} + 22164361129 T^{4} \))(\( 1 + 331 T + 442671 T^{2} + 98567438 T^{3} + 65903530467 T^{4} + 7336403533699 T^{5} + 3299763591802133 T^{6} \))(\( 1 + 331 T + 442671 T^{2} + 98567438 T^{3} + 65903530467 T^{4} + 7336403533699 T^{5} + 3299763591802133 T^{6} \))(\( 1 + 298 T + 380319 T^{2} + 69347636 T^{3} + 56620751763 T^{4} + 6604979616442 T^{5} + 3299763591802133 T^{6} \))(\( 1 - 298 T + 380319 T^{2} - 69347636 T^{3} + 56620751763 T^{4} - 6604979616442 T^{5} + 3299763591802133 T^{6} \))(\( 1 + 110 T + 105959 T^{2} - 57565396 T^{3} + 15774858043 T^{4} + 2438079724190 T^{5} + 3299763591802133 T^{6} \))(\( 1 - 276 T + 425344 T^{2} - 89438508 T^{3} + 82314383246 T^{4} - 13315336755516 T^{5} + 9427478020053376 T^{6} - 910734751337388708 T^{7} + \)\(49\!\cdots\!41\)\( T^{8} \))(\( 1 - 276 T + 425344 T^{2} - 89438508 T^{3} + 82314383246 T^{4} - 13315336755516 T^{5} + 9427478020053376 T^{6} - 910734751337388708 T^{7} + \)\(49\!\cdots\!41\)\( T^{8} \))(\( 1 - 360 T + 584426 T^{2} - 157471200 T^{3} + 129797961402 T^{4} - 23443839842400 T^{5} + 12953428917176954 T^{6} - 1187914893048767880 T^{7} + \)\(49\!\cdots\!41\)\( T^{8} \))(\( 1 - 360 T + 584426 T^{2} - 157471200 T^{3} + 129797961402 T^{4} - 23443839842400 T^{5} + 12953428917176954 T^{6} - 1187914893048767880 T^{7} + \)\(49\!\cdots\!41\)\( T^{8} \))(\( 1 - 317 T + 63881 T^{2} - 42870580 T^{3} + 34006441938 T^{4} - 11406221196414 T^{5} + 5062777056403626 T^{6} - 950199016929684820 T^{7} + \)\(21\!\cdots\!73\)\( T^{8} - \)\(15\!\cdots\!97\)\( T^{9} + \)\(73\!\cdots\!57\)\( T^{10} \))(\( 1 - 317 T + 63881 T^{2} - 42870580 T^{3} + 34006441938 T^{4} - 11406221196414 T^{5} + 5062777056403626 T^{6} - 950199016929684820 T^{7} + \)\(21\!\cdots\!73\)\( T^{8} - \)\(15\!\cdots\!97\)\( T^{9} + \)\(73\!\cdots\!57\)\( T^{10} \))(\( 1 + 351 T + 708181 T^{2} + 191754208 T^{3} + 204450779430 T^{4} + 41520543155346 T^{5} + 30438018689200110 T^{6} + 4250109514117380832 T^{7} + \)\(23\!\cdots\!73\)\( T^{8} + \)\(17\!\cdots\!91\)\( T^{9} + \)\(73\!\cdots\!57\)\( T^{10} \))(\( 1 + 351 T + 708181 T^{2} + 191754208 T^{3} + 204450779430 T^{4} + 41520543155346 T^{5} + 30438018689200110 T^{6} + 4250109514117380832 T^{7} + \)\(23\!\cdots\!73\)\( T^{8} + \)\(17\!\cdots\!91\)\( T^{9} + \)\(73\!\cdots\!57\)\( T^{10} \))(\( 1 - 1135 T + 943857 T^{2} - 589385932 T^{3} + 301335586346 T^{4} - 126213163925354 T^{5} + 44861938088433442 T^{6} - 13063362641200237228 T^{7} + \)\(31\!\cdots\!81\)\( T^{8} - \)\(55\!\cdots\!35\)\( T^{9} + \)\(73\!\cdots\!57\)\( T^{10} \))(\( 1 - 1135 T + 943857 T^{2} - 589385932 T^{3} + 301335586346 T^{4} - 126213163925354 T^{5} + 44861938088433442 T^{6} - 13063362641200237228 T^{7} + \)\(31\!\cdots\!81\)\( T^{8} - \)\(55\!\cdots\!35\)\( T^{9} + \)\(73\!\cdots\!57\)\( T^{10} \))(\( 1 + 558230 T^{2} + 156874030999 T^{4} + 28183915930956148 T^{6} + \)\(34\!\cdots\!71\)\( T^{8} + \)\(27\!\cdots\!30\)\( T^{10} + \)\(10\!\cdots\!89\)\( T^{12} \))(\( 1 + 558230 T^{2} + 156874030999 T^{4} + 28183915930956148 T^{6} + \)\(34\!\cdots\!71\)\( T^{8} + \)\(27\!\cdots\!30\)\( T^{10} + \)\(10\!\cdots\!89\)\( T^{12} \))(\( 1 - 676 T + 756806 T^{2} - 367769844 T^{3} + 249160429851 T^{4} - 95287278237352 T^{5} + 47830207170007020 T^{6} - 14186084122142253704 T^{7} + \)\(55\!\cdots\!79\)\( T^{8} - \)\(12\!\cdots\!52\)\( T^{9} + \)\(37\!\cdots\!46\)\( T^{10} - \)\(49\!\cdots\!32\)\( T^{11} + \)\(10\!\cdots\!89\)\( T^{12} \))(\( 1 - 676 T + 756806 T^{2} - 367769844 T^{3} + 249160429851 T^{4} - 95287278237352 T^{5} + 47830207170007020 T^{6} - 14186084122142253704 T^{7} + \)\(55\!\cdots\!79\)\( T^{8} - \)\(12\!\cdots\!52\)\( T^{9} + \)\(37\!\cdots\!46\)\( T^{10} - \)\(49\!\cdots\!32\)\( T^{11} + \)\(10\!\cdots\!89\)\( T^{12} \))(\( 1 + 1282 T + 1265421 T^{2} + 909846870 T^{3} + 554299759618 T^{4} + 289623460045018 T^{5} + 136698661009694203 T^{6} + 58298767655443502718 T^{7} + \)\(23\!\cdots\!02\)\( T^{8} + \)\(86\!\cdots\!86\)\( T^{9} + \)\(30\!\cdots\!87\)\( T^{10} + \)\(95\!\cdots\!94\)\( T^{11} + \)\(27\!\cdots\!38\)\( T^{12} + \)\(66\!\cdots\!90\)\( T^{13} + \)\(13\!\cdots\!69\)\( T^{14} + \)\(20\!\cdots\!46\)\( T^{15} + \)\(24\!\cdots\!81\)\( T^{16} \))(\( 1 + 1282 T + 1265421 T^{2} + 909846870 T^{3} + 554299759618 T^{4} + 289623460045018 T^{5} + 136698661009694203 T^{6} + 58298767655443502718 T^{7} + \)\(23\!\cdots\!02\)\( T^{8} + \)\(86\!\cdots\!86\)\( T^{9} + \)\(30\!\cdots\!87\)\( T^{10} + \)\(95\!\cdots\!94\)\( T^{11} + \)\(27\!\cdots\!38\)\( T^{12} + \)\(66\!\cdots\!90\)\( T^{13} + \)\(13\!\cdots\!69\)\( T^{14} + \)\(20\!\cdots\!46\)\( T^{15} + \)\(24\!\cdots\!81\)\( T^{16} \))(\( 1 + 1144 T + 1178298 T^{2} + 809806288 T^{3} + 523524163596 T^{4} + 274685699729600 T^{5} + 137523541849643678 T^{6} + 58853534241154325304 T^{7} + \)\(24\!\cdots\!62\)\( T^{8} + \)\(87\!\cdots\!08\)\( T^{9} + \)\(30\!\cdots\!62\)\( T^{10} + \)\(90\!\cdots\!00\)\( T^{11} + \)\(25\!\cdots\!36\)\( T^{12} + \)\(59\!\cdots\!16\)\( T^{13} + \)\(12\!\cdots\!22\)\( T^{14} + \)\(18\!\cdots\!32\)\( T^{15} + \)\(24\!\cdots\!81\)\( T^{16} \))(\( 1 + 1144 T + 1178298 T^{2} + 809806288 T^{3} + 523524163596 T^{4} + 274685699729600 T^{5} + 137523541849643678 T^{6} + 58853534241154325304 T^{7} + \)\(24\!\cdots\!62\)\( T^{8} + \)\(87\!\cdots\!08\)\( T^{9} + \)\(30\!\cdots\!62\)\( T^{10} + \)\(90\!\cdots\!00\)\( T^{11} + \)\(25\!\cdots\!36\)\( T^{12} + \)\(59\!\cdots\!16\)\( T^{13} + \)\(12\!\cdots\!22\)\( T^{14} + \)\(18\!\cdots\!32\)\( T^{15} + \)\(24\!\cdots\!81\)\( T^{16} \))(\( 1 - 1282 T + 1265421 T^{2} - 909846870 T^{3} + 554299759618 T^{4} - 289623460045018 T^{5} + 136698661009694203 T^{6} - 58298767655443502718 T^{7} + \)\(23\!\cdots\!02\)\( T^{8} - \)\(86\!\cdots\!86\)\( T^{9} + \)\(30\!\cdots\!87\)\( T^{10} - \)\(95\!\cdots\!94\)\( T^{11} + \)\(27\!\cdots\!38\)\( T^{12} - \)\(66\!\cdots\!90\)\( T^{13} + \)\(13\!\cdots\!69\)\( T^{14} - \)\(20\!\cdots\!46\)\( T^{15} + \)\(24\!\cdots\!81\)\( T^{16} \))(\( 1 - 1282 T + 1265421 T^{2} - 909846870 T^{3} + 554299759618 T^{4} - 289623460045018 T^{5} + 136698661009694203 T^{6} - 58298767655443502718 T^{7} + \)\(23\!\cdots\!02\)\( T^{8} - \)\(86\!\cdots\!86\)\( T^{9} + \)\(30\!\cdots\!87\)\( T^{10} - \)\(95\!\cdots\!94\)\( T^{11} + \)\(27\!\cdots\!38\)\( T^{12} - \)\(66\!\cdots\!90\)\( T^{13} + \)\(13\!\cdots\!69\)\( T^{14} - \)\(20\!\cdots\!46\)\( T^{15} + \)\(24\!\cdots\!81\)\( T^{16} \))(\( 1 + 1029348 T^{2} + 527722593130 T^{4} + 178750206183302260 T^{6} + \)\(44\!\cdots\!95\)\( T^{8} + \)\(89\!\cdots\!60\)\( T^{10} + \)\(14\!\cdots\!28\)\( T^{12} + \)\(19\!\cdots\!40\)\( T^{14} + \)\(22\!\cdots\!95\)\( T^{16} + \)\(19\!\cdots\!40\)\( T^{18} + \)\(12\!\cdots\!30\)\( T^{20} + \)\(55\!\cdots\!52\)\( T^{22} + \)\(11\!\cdots\!21\)\( T^{24} \))(\( 1 + 1029348 T^{2} + 527722593130 T^{4} + 178750206183302260 T^{6} + \)\(44\!\cdots\!95\)\( T^{8} + \)\(89\!\cdots\!60\)\( T^{10} + \)\(14\!\cdots\!28\)\( T^{12} + \)\(19\!\cdots\!40\)\( T^{14} + \)\(22\!\cdots\!95\)\( T^{16} + \)\(19\!\cdots\!40\)\( T^{18} + \)\(12\!\cdots\!30\)\( T^{20} + \)\(55\!\cdots\!52\)\( T^{22} + \)\(11\!\cdots\!21\)\( T^{24} \))
$59$ (\( 1 - 50 T + 205379 T^{2} \))(\( 1 - 380 T + 205379 T^{2} \))(\( 1 - 24 T + 205379 T^{2} \))(\( 1 + 60 T + 205379 T^{2} \))(\( 1 - 360 T + 205379 T^{2} \))(\( 1 - 492 T + 205379 T^{2} \))(\( 1 + 360 T + 205379 T^{2} \))(\( 1 - 60 T + 205379 T^{2} \))(\( 1 + 560 T + 205379 T^{2} \))(\( 1 - 348 T + 205379 T^{2} \))(\( 1 - 294 T + 205379 T^{2} \))(\( 1 - 100 T + 205379 T^{2} \))(\( 1 + 348 T + 205379 T^{2} \))(\( 1 + 294 T + 205379 T^{2} \))(\( 1 + 360 T + 205379 T^{2} \))(\( 1 + 492 T + 205379 T^{2} \))(\( 1 - 500 T + 205379 T^{2} \))(\( 1 - 108 T + 205379 T^{2} \))(\( 1 + 108 T + 205379 T^{2} \))(\( 1 + 50 T + 205379 T^{2} \))(\( ( 1 + 616 T + 205379 T^{2} )^{2} \))(\( 1 - 516 T + 418118 T^{2} - 105975564 T^{3} + 42180533641 T^{4} \))(\( 1 + 380 T + 429258 T^{2} + 78044020 T^{3} + 42180533641 T^{4} \))(\( 1 - 380 T + 429258 T^{2} - 78044020 T^{3} + 42180533641 T^{4} \))(\( ( 1 + 284 T + 205379 T^{2} )^{2} \))(\( 1 + 844 T + 474182 T^{2} + 173339876 T^{3} + 42180533641 T^{4} \))(\( ( 1 - 284 T + 205379 T^{2} )^{2} \))(\( 1 - 104 T + 80534 T^{2} - 21359416 T^{3} + 42180533641 T^{4} \))(\( 1 + 140 T + 346466 T^{2} + 28753060 T^{3} + 42180533641 T^{4} \))(\( 1 - 140 T + 346466 T^{2} - 28753060 T^{3} + 42180533641 T^{4} \))(\( 1 + 464 T + 458102 T^{2} + 95295856 T^{3} + 42180533641 T^{4} \))(\( 1 + 840 T + 445646 T^{2} + 172518360 T^{3} + 42180533641 T^{4} \))(\( 1 - 840 T + 445646 T^{2} - 172518360 T^{3} + 42180533641 T^{4} \))(\( 1 - 364 T + 438374 T^{2} - 74757956 T^{3} + 42180533641 T^{4} \))(\( 1 - 1520 T + 1161665 T^{2} - 599760000 T^{3} + 238581596035 T^{4} - 64114411134320 T^{5} + 8662995818654939 T^{6} \))(\( 1 + 1520 T + 1161665 T^{2} + 599760000 T^{3} + 238581596035 T^{4} + 64114411134320 T^{5} + 8662995818654939 T^{6} \))(\( 1 - 428 T + 132409 T^{2} + 53779640 T^{3} + 27194028011 T^{4} - 18053268398348 T^{5} + 8662995818654939 T^{6} \))(\( 1 + 428 T + 132409 T^{2} - 53779640 T^{3} + 27194028011 T^{4} + 18053268398348 T^{5} + 8662995818654939 T^{6} \))(\( 1 + 180 T + 3577 T^{2} - 128522760 T^{3} + 734640683 T^{4} + 7592496055380 T^{5} + 8662995818654939 T^{6} \))(\( 1 - 328 T + 492028 T^{2} - 118632840 T^{3} + 136906940630 T^{4} - 24364694046360 T^{5} + 20754003606313948 T^{6} - 2841462628518819992 T^{7} + \)\(17\!\cdots\!81\)\( T^{8} \))(\( 1 + 328 T + 492028 T^{2} + 118632840 T^{3} + 136906940630 T^{4} + 24364694046360 T^{5} + 20754003606313948 T^{6} + 2841462628518819992 T^{7} + \)\(17\!\cdots\!81\)\( T^{8} \))(\( 1 + 1828 T + 1777088 T^{2} + 1198461988 T^{3} + 612793387918 T^{4} + 246138924633452 T^{5} + 74958520167017408 T^{6} + 15835956356501228492 T^{7} + \)\(17\!\cdots\!81\)\( T^{8} \))(\( 1 - 1828 T + 1777088 T^{2} - 1198461988 T^{3} + 612793387918 T^{4} - 246138924633452 T^{5} + 74958520167017408 T^{6} - 15835956356501228492 T^{7} + \)\(17\!\cdots\!81\)\( T^{8} \))(\( 1 + 676 T + 716155 T^{2} + 253524600 T^{3} + 181828085426 T^{4} + 48418587776920 T^{5} + 37343670356706454 T^{6} + 10693802919121068600 T^{7} + \)\(62\!\cdots\!45\)\( T^{8} + \)\(12\!\cdots\!56\)\( T^{9} + \)\(36\!\cdots\!99\)\( T^{10} \))(\( 1 - 676 T + 716155 T^{2} - 253524600 T^{3} + 181828085426 T^{4} - 48418587776920 T^{5} + 37343670356706454 T^{6} - 10693802919121068600 T^{7} + \)\(62\!\cdots\!45\)\( T^{8} - \)\(12\!\cdots\!56\)\( T^{9} + \)\(36\!\cdots\!99\)\( T^{10} \))(\( 1 - 708 T + 1096227 T^{2} - 561741872 T^{3} + 464924363086 T^{4} - 171021556758360 T^{5} + 95485700766239594 T^{6} - 23694571929454315952 T^{7} + \)\(94\!\cdots\!53\)\( T^{8} - \)\(12\!\cdots\!48\)\( T^{9} + \)\(36\!\cdots\!99\)\( T^{10} \))(\( 1 + 708 T + 1096227 T^{2} + 561741872 T^{3} + 464924363086 T^{4} + 171021556758360 T^{5} + 95485700766239594 T^{6} + 23694571929454315952 T^{7} + \)\(94\!\cdots\!53\)\( T^{8} + \)\(12\!\cdots\!48\)\( T^{9} + \)\(36\!\cdots\!99\)\( T^{10} \))(\( 1 + 332 T + 430695 T^{2} + 193484688 T^{3} + 141650637134 T^{4} + 42256513340024 T^{5} + 29092066203943786 T^{6} + 8161287391202389008 T^{7} + \)\(37\!\cdots\!05\)\( T^{8} + \)\(59\!\cdots\!92\)\( T^{9} + \)\(36\!\cdots\!99\)\( T^{10} \))(\( 1 - 332 T + 430695 T^{2} - 193484688 T^{3} + 141650637134 T^{4} - 42256513340024 T^{5} + 29092066203943786 T^{6} - 8161287391202389008 T^{7} + \)\(37\!\cdots\!05\)\( T^{8} - \)\(59\!\cdots\!92\)\( T^{9} + \)\(36\!\cdots\!99\)\( T^{10} \))(\( ( 1 + 68 T + 155897 T^{2} - 40876456 T^{3} + 32017969963 T^{4} + 2868276287588 T^{5} + 8662995818654939 T^{6} )^{2} \))(\( ( 1 - 68 T + 155897 T^{2} + 40876456 T^{3} + 32017969963 T^{4} - 2868276287588 T^{5} + 8662995818654939 T^{6} )^{2} \))(\( 1 - 996 T + 1036536 T^{2} - 686090796 T^{3} + 452936806907 T^{4} - 228269279812616 T^{5} + 117358818568794736 T^{6} - 46881716418635261464 T^{7} + \)\(19\!\cdots\!87\)\( T^{8} - \)\(59\!\cdots\!44\)\( T^{9} + \)\(18\!\cdots\!16\)\( T^{10} - \)\(36\!\cdots\!04\)\( T^{11} + \)\(75\!\cdots\!21\)\( T^{12} \))(\( 1 + 996 T + 1036536 T^{2} + 686090796 T^{3} + 452936806907 T^{4} + 228269279812616 T^{5} + 117358818568794736 T^{6} + 46881716418635261464 T^{7} + \)\(19\!\cdots\!87\)\( T^{8} + \)\(59\!\cdots\!44\)\( T^{9} + \)\(18\!\cdots\!16\)\( T^{10} + \)\(36\!\cdots\!04\)\( T^{11} + \)\(75\!\cdots\!21\)\( T^{12} \))(\( 1 + 924 T + 1371052 T^{2} + 973412560 T^{3} + 878916641160 T^{4} + 500628589732552 T^{5} + 335967922177513256 T^{6} + \)\(15\!\cdots\!72\)\( T^{7} + \)\(84\!\cdots\!42\)\( T^{8} + \)\(32\!\cdots\!88\)\( T^{9} + \)\(14\!\cdots\!96\)\( T^{10} + \)\(43\!\cdots\!28\)\( T^{11} + \)\(15\!\cdots\!60\)\( T^{12} + \)\(35\!\cdots\!40\)\( T^{13} + \)\(10\!\cdots\!92\)\( T^{14} + \)\(14\!\cdots\!16\)\( T^{15} + \)\(31\!\cdots\!61\)\( T^{16} \))(\( 1 - 924 T + 1371052 T^{2} - 973412560 T^{3} + 878916641160 T^{4} - 500628589732552 T^{5} + 335967922177513256 T^{6} - \)\(15\!\cdots\!72\)\( T^{7} + \)\(84\!\cdots\!42\)\( T^{8} - \)\(32\!\cdots\!88\)\( T^{9} + \)\(14\!\cdots\!96\)\( T^{10} - \)\(43\!\cdots\!28\)\( T^{11} + \)\(15\!\cdots\!60\)\( T^{12} - \)\(35\!\cdots\!40\)\( T^{13} + \)\(10\!\cdots\!92\)\( T^{14} - \)\(14\!\cdots\!16\)\( T^{15} + \)\(31\!\cdots\!61\)\( T^{16} \))(\( 1 + 596 T + 1233884 T^{2} + 624892996 T^{3} + 738190000740 T^{4} + 316997921410724 T^{5} + 272161685877004996 T^{6} + 98760183011908082132 T^{7} + \)\(67\!\cdots\!94\)\( T^{8} + \)\(20\!\cdots\!28\)\( T^{9} + \)\(11\!\cdots\!36\)\( T^{10} + \)\(27\!\cdots\!36\)\( T^{11} + \)\(13\!\cdots\!40\)\( T^{12} + \)\(22\!\cdots\!04\)\( T^{13} + \)\(92\!\cdots\!64\)\( T^{14} + \)\(91\!\cdots\!64\)\( T^{15} + \)\(31\!\cdots\!61\)\( T^{16} \))(\( 1 - 596 T + 1233884 T^{2} - 624892996 T^{3} + 738190000740 T^{4} - 316997921410724 T^{5} + 272161685877004996 T^{6} - 98760183011908082132 T^{7} + \)\(67\!\cdots\!94\)\( T^{8} - \)\(20\!\cdots\!28\)\( T^{9} + \)\(11\!\cdots\!36\)\( T^{10} - \)\(27\!\cdots\!36\)\( T^{11} + \)\(13\!\cdots\!40\)\( T^{12} - \)\(22\!\cdots\!04\)\( T^{13} + \)\(92\!\cdots\!64\)\( T^{14} - \)\(91\!\cdots\!64\)\( T^{15} + \)\(31\!\cdots\!61\)\( T^{16} \))(\( 1 + 924 T + 1371052 T^{2} + 973412560 T^{3} + 878916641160 T^{4} + 500628589732552 T^{5} + 335967922177513256 T^{6} + \)\(15\!\cdots\!72\)\( T^{7} + \)\(84\!\cdots\!42\)\( T^{8} + \)\(32\!\cdots\!88\)\( T^{9} + \)\(14\!\cdots\!96\)\( T^{10} + \)\(43\!\cdots\!28\)\( T^{11} + \)\(15\!\cdots\!60\)\( T^{12} + \)\(35\!\cdots\!40\)\( T^{13} + \)\(10\!\cdots\!92\)\( T^{14} + \)\(14\!\cdots\!16\)\( T^{15} + \)\(31\!\cdots\!61\)\( T^{16} \))(\( 1 - 924 T + 1371052 T^{2} - 973412560 T^{3} + 878916641160 T^{4} - 500628589732552 T^{5} + 335967922177513256 T^{6} - \)\(15\!\cdots\!72\)\( T^{7} + \)\(84\!\cdots\!42\)\( T^{8} - \)\(32\!\cdots\!88\)\( T^{9} + \)\(14\!\cdots\!96\)\( T^{10} - \)\(43\!\cdots\!28\)\( T^{11} + \)\(15\!\cdots\!60\)\( T^{12} - \)\(35\!\cdots\!40\)\( T^{13} + \)\(10\!\cdots\!92\)\( T^{14} - \)\(14\!\cdots\!16\)\( T^{15} + \)\(31\!\cdots\!61\)\( T^{16} \))(\( ( 1 - 1644 T + 1597902 T^{2} - 1010314356 T^{3} + 483374241239 T^{4} - 185260319280152 T^{5} + 76275580298676676 T^{6} - 38048579113438337608 T^{7} + \)\(20\!\cdots\!99\)\( T^{8} - \)\(87\!\cdots\!84\)\( T^{9} + \)\(28\!\cdots\!62\)\( T^{10} - \)\(60\!\cdots\!56\)\( T^{11} + \)\(75\!\cdots\!21\)\( T^{12} )^{2} \))(\( ( 1 + 1644 T + 1597902 T^{2} + 1010314356 T^{3} + 483374241239 T^{4} + 185260319280152 T^{5} + 76275580298676676 T^{6} + 38048579113438337608 T^{7} + \)\(20\!\cdots\!99\)\( T^{8} + \)\(87\!\cdots\!84\)\( T^{9} + \)\(28\!\cdots\!62\)\( T^{10} + \)\(60\!\cdots\!56\)\( T^{11} + \)\(75\!\cdots\!21\)\( T^{12} )^{2} \))
$61$ (\( 1 - 518 T + 226981 T^{2} \))(\( 1 + 718 T + 226981 T^{2} \))(\( 1 - 322 T + 226981 T^{2} \))(\( 1 + 392 T + 226981 T^{2} \))(\( 1 - 392 T + 226981 T^{2} \))(\( 1 - 880 T + 226981 T^{2} \))(\( 1 + 392 T + 226981 T^{2} \))(\( 1 - 392 T + 226981 T^{2} \))(\( 1 - 278 T + 226981 T^{2} \))(\( 1 + 882 T + 226981 T^{2} \))(\( 1 + 450 T + 226981 T^{2} \))(\( 1 + 742 T + 226981 T^{2} \))(\( 1 - 882 T + 226981 T^{2} \))(\( 1 - 450 T + 226981 T^{2} \))(\( 1 - 682 T + 226981 T^{2} \))(\( 1 - 880 T + 226981 T^{2} \))(\( 1 - 518 T + 226981 T^{2} \))(\( 1 - 168 T + 226981 T^{2} \))(\( 1 + 168 T + 226981 T^{2} \))(\( 1 - 518 T + 226981 T^{2} \))(\( 1 + 336 T + 458858 T^{2} + 76265616 T^{3} + 51520374361 T^{4} \))(\( 1 - 880 T + 575238 T^{2} - 199743280 T^{3} + 51520374361 T^{4} \))(\( 1 - 1080 T + 705962 T^{2} - 245139480 T^{3} + 51520374361 T^{4} \))(\( 1 + 1080 T + 705962 T^{2} + 245139480 T^{3} + 51520374361 T^{4} \))(\( 1 - 618 T + 515018 T^{2} - 140274258 T^{3} + 51520374361 T^{4} \))(\( 1 - 204 T + 455006 T^{2} - 46304124 T^{3} + 51520374361 T^{4} \))(\( 1 - 618 T + 515018 T^{2} - 140274258 T^{3} + 51520374361 T^{4} \))(\( 1 - 468 T + 494606 T^{2} - 106227108 T^{3} + 51520374361 T^{4} \))(\( 1 - 732 T + 580718 T^{2} - 166150092 T^{3} + 51520374361 T^{4} \))(\( 1 + 732 T + 580718 T^{2} + 166150092 T^{3} + 51520374361 T^{4} \))(\( 1 - 684 T + 535646 T^{2} - 155255004 T^{3} + 51520374361 T^{4} \))(\( 1 - 98 T - 193437 T^{2} - 22244138 T^{3} + 51520374361 T^{4} \))(\( 1 + 98 T - 193437 T^{2} + 22244138 T^{3} + 51520374361 T^{4} \))(\( 1 + 792 T + 340886 T^{2} + 179768952 T^{3} + 51520374361 T^{4} \))(\( 1 + 1160 T + 1094643 T^{2} + 571897312 T^{3} + 248463162783 T^{4} + 59763634258760 T^{5} + 11694146092834141 T^{6} \))(\( 1 - 1160 T + 1094643 T^{2} - 571897312 T^{3} + 248463162783 T^{4} - 59763634258760 T^{5} + 11694146092834141 T^{6} \))(\( 1 + 1050 T + 784443 T^{2} + 413439100 T^{3} + 178053656583 T^{4} + 54096393079050 T^{5} + 11694146092834141 T^{6} \))(\( 1 + 1050 T + 784443 T^{2} + 413439100 T^{3} + 178053656583 T^{4} + 54096393079050 T^{5} + 11694146092834141 T^{6} \))(\( 1 + 1222 T + 1103759 T^{2} + 593135356 T^{3} + 250532321579 T^{4} + 62957897469142 T^{5} + 11694146092834141 T^{6} \))(\( 1 - 174 T + 381028 T^{2} + 41891598 T^{3} + 68618895414 T^{4} + 9508596805638 T^{5} + 19630705202023108 T^{6} - 2034781420153140534 T^{7} + \)\(26\!\cdots\!21\)\( T^{8} \))(\( 1 + 174 T + 381028 T^{2} - 41891598 T^{3} + 68618895414 T^{4} - 9508596805638 T^{5} + 19630705202023108 T^{6} + 2034781420153140534 T^{7} + \)\(26\!\cdots\!21\)\( T^{8} \))(\( 1 + 1212 T + 1088742 T^{2} + 660751308 T^{3} + 353696934338 T^{4} + 149977992641148 T^{5} + 56092395422543862 T^{6} + 14173305064514978892 T^{7} + \)\(26\!\cdots\!21\)\( T^{8} \))(\( 1 - 1212 T + 1088742 T^{2} - 660751308 T^{3} + 353696934338 T^{4} - 149977992641148 T^{5} + 56092395422543862 T^{6} - 14173305064514978892 T^{7} + \)\(26\!\cdots\!21\)\( T^{8} \))(\( 1 + 188 T + 466825 T^{2} + 230384112 T^{3} + 145316240170 T^{4} + 68738775972008 T^{5} + 32984025510026770 T^{6} + 11869475697066552432 T^{7} + \)\(54\!\cdots\!25\)\( T^{8} + \)\(49\!\cdots\!48\)\( T^{9} + \)\(60\!\cdots\!01\)\( T^{10} \))(\( 1 - 188 T + 466825 T^{2} - 230384112 T^{3} + 145316240170 T^{4} - 68738775972008 T^{5} + 32984025510026770 T^{6} - 11869475697066552432 T^{7} + \)\(54\!\cdots\!25\)\( T^{8} - \)\(49\!\cdots\!48\)\( T^{9} + \)\(60\!\cdots\!01\)\( T^{10} \))(\( 1 + 1944 T + 2577179 T^{2} + 2272501996 T^{3} + 1581534536149 T^{4} + 836610680685668 T^{5} + 358978290549636169 T^{6} + \)\(11\!\cdots\!56\)\( T^{7} + \)\(30\!\cdots\!39\)\( T^{8} + \)\(51\!\cdots\!24\)\( T^{9} + \)\(60\!\cdots\!01\)\( T^{10} \))(\( 1 - 1944 T + 2577179 T^{2} - 2272501996 T^{3} + 1581534536149 T^{4} - 836610680685668 T^{5} + 358978290549636169 T^{6} - \)\(11\!\cdots\!56\)\( T^{7} + \)\(30\!\cdots\!39\)\( T^{8} - \)\(51\!\cdots\!24\)\( T^{9} + \)\(60\!\cdots\!01\)\( T^{10} \))(\( 1 - 584 T + 1025065 T^{2} - 451595616 T^{3} + 443116140490 T^{4} - 146536066176944 T^{5} + 100578944684560690 T^{6} - 23266375196106401376 T^{7} + \)\(11\!\cdots\!65\)\( T^{8} - \)\(15\!\cdots\!64\)\( T^{9} + \)\(60\!\cdots\!01\)\( T^{10} \))(\( 1 + 584 T + 1025065 T^{2} + 451595616 T^{3} + 443116140490 T^{4} + 146536066176944 T^{5} + 100578944684560690 T^{6} + 23266375196106401376 T^{7} + \)\(11\!\cdots\!65\)\( T^{8} + \)\(15\!\cdots\!64\)\( T^{9} + \)\(60\!\cdots\!01\)\( T^{10} \))(\( 1 + 807486 T^{2} + 291238309815 T^{4} + 72313154579372420 T^{6} + \)\(15\!\cdots\!15\)\( T^{8} + \)\(21\!\cdots\!06\)\( T^{10} + \)\(13\!\cdots\!81\)\( T^{12} \))(\( 1 + 807486 T^{2} + 291238309815 T^{4} + 72313154579372420 T^{6} + \)\(15\!\cdots\!15\)\( T^{8} + \)\(21\!\cdots\!06\)\( T^{10} + \)\(13\!\cdots\!81\)\( T^{12} \))(\( 1 + 740 T + 970482 T^{2} + 661891780 T^{3} + 495713522631 T^{4} + 257223694985640 T^{5} + 147582202110218748 T^{6} + 58384891511535552840 T^{7} + \)\(25\!\cdots\!91\)\( T^{8} + \)\(77\!\cdots\!80\)\( T^{9} + \)\(25\!\cdots\!22\)\( T^{10} + \)\(44\!\cdots\!40\)\( T^{11} + \)\(13\!\cdots\!81\)\( T^{12} \))(\( 1 - 740 T + 970482 T^{2} - 661891780 T^{3} + 495713522631 T^{4} - 257223694985640 T^{5} + 147582202110218748 T^{6} - 58384891511535552840 T^{7} + \)\(25\!\cdots\!91\)\( T^{8} - \)\(77\!\cdots\!80\)\( T^{9} + \)\(25\!\cdots\!22\)\( T^{10} - \)\(44\!\cdots\!40\)\( T^{11} + \)\(13\!\cdots\!81\)\( T^{12} \))(\( 1 - 536 T + 1524148 T^{2} - 649951232 T^{3} + 1039303868660 T^{4} - 362921539247920 T^{5} + 425807108947070204 T^{6} - \)\(12\!\cdots\!28\)\( T^{7} + \)\(11\!\cdots\!50\)\( T^{8} - \)\(28\!\cdots\!68\)\( T^{9} + \)\(21\!\cdots\!44\)\( T^{10} - \)\(42\!\cdots\!20\)\( T^{11} + \)\(27\!\cdots\!60\)\( T^{12} - \)\(39\!\cdots\!32\)\( T^{13} + \)\(20\!\cdots\!88\)\( T^{14} - \)\(16\!\cdots\!96\)\( T^{15} + \)\(70\!\cdots\!41\)\( T^{16} \))(\( 1 + 536 T + 1524148 T^{2} + 649951232 T^{3} + 1039303868660 T^{4} + 362921539247920 T^{5} + 425807108947070204 T^{6} + \)\(12\!\cdots\!28\)\( T^{7} + \)\(11\!\cdots\!50\)\( T^{8} + \)\(28\!\cdots\!68\)\( T^{9} + \)\(21\!\cdots\!44\)\( T^{10} + \)\(42\!\cdots\!20\)\( T^{11} + \)\(27\!\cdots\!60\)\( T^{12} + \)\(39\!\cdots\!32\)\( T^{13} + \)\(20\!\cdots\!88\)\( T^{14} + \)\(16\!\cdots\!96\)\( T^{15} + \)\(70\!\cdots\!41\)\( T^{16} \))(\( 1 - 740 T + 896262 T^{2} - 489986452 T^{3} + 386249665780 T^{4} - 169838570105324 T^{5} + 107024558964575682 T^{6} - 41514193815272603836 T^{7} + \)\(25\!\cdots\!70\)\( T^{8} - \)\(94\!\cdots\!16\)\( T^{9} + \)\(55\!\cdots\!02\)\( T^{10} - \)\(19\!\cdots\!84\)\( T^{11} + \)\(10\!\cdots\!80\)\( T^{12} - \)\(29\!\cdots\!52\)\( T^{13} + \)\(12\!\cdots\!22\)\( T^{14} - \)\(22\!\cdots\!40\)\( T^{15} + \)\(70\!\cdots\!41\)\( T^{16} \))(\( 1 + 740 T + 896262 T^{2} + 489986452 T^{3} + 386249665780 T^{4} + 169838570105324 T^{5} + 107024558964575682 T^{6} + 41514193815272603836 T^{7} + \)\(25\!\cdots\!70\)\( T^{8} + \)\(94\!\cdots\!16\)\( T^{9} + \)\(55\!\cdots\!02\)\( T^{10} + \)\(19\!\cdots\!84\)\( T^{11} + \)\(10\!\cdots\!80\)\( T^{12} + \)\(29\!\cdots\!52\)\( T^{13} + \)\(12\!\cdots\!22\)\( T^{14} + \)\(22\!\cdots\!40\)\( T^{15} + \)\(70\!\cdots\!41\)\( T^{16} \))(\( 1 + 536 T + 1524148 T^{2} + 649951232 T^{3} + 1039303868660 T^{4} + 362921539247920 T^{5} + 425807108947070204 T^{6} + \)\(12\!\cdots\!28\)\( T^{7} + \)\(11\!\cdots\!50\)\( T^{8} + \)\(28\!\cdots\!68\)\( T^{9} + \)\(21\!\cdots\!44\)\( T^{10} + \)\(42\!\cdots\!20\)\( T^{11} + \)\(27\!\cdots\!60\)\( T^{12} + \)\(39\!\cdots\!32\)\( T^{13} + \)\(20\!\cdots\!88\)\( T^{14} + \)\(16\!\cdots\!96\)\( T^{15} + \)\(70\!\cdots\!41\)\( T^{16} \))(\( 1 - 536 T + 1524148 T^{2} - 649951232 T^{3} + 1039303868660 T^{4} - 362921539247920 T^{5} + 425807108947070204 T^{6} - \)\(12\!\cdots\!28\)\( T^{7} + \)\(11\!\cdots\!50\)\( T^{8} - \)\(28\!\cdots\!68\)\( T^{9} + \)\(21\!\cdots\!44\)\( T^{10} - \)\(42\!\cdots\!20\)\( T^{11} + \)\(27\!\cdots\!60\)\( T^{12} - \)\(39\!\cdots\!32\)\( T^{13} + \)\(20\!\cdots\!88\)\( T^{14} - \)\(16\!\cdots\!96\)\( T^{15} + \)\(70\!\cdots\!41\)\( T^{16} \))(\( 1 + 1743428 T^{2} + 1528319882234 T^{4} + 883049399874676340 T^{6} + \)\(37\!\cdots\!07\)\( T^{8} + \)\(12\!\cdots\!80\)\( T^{10} + \)\(30\!\cdots\!88\)\( T^{12} + \)\(62\!\cdots\!80\)\( T^{14} + \)\(98\!\cdots\!47\)\( T^{16} + \)\(12\!\cdots\!40\)\( T^{18} + \)\(10\!\cdots\!94\)\( T^{20} + \)\(63\!\cdots\!28\)\( T^{22} + \)\(18\!\cdots\!61\)\( T^{24} \))(\( 1 + 1743428 T^{2} + 1528319882234 T^{4} + 883049399874676340 T^{6} + \)\(37\!\cdots\!07\)\( T^{8} + \)\(12\!\cdots\!80\)\( T^{10} + \)\(30\!\cdots\!88\)\( T^{12} + \)\(62\!\cdots\!80\)\( T^{14} + \)\(98\!\cdots\!47\)\( T^{16} + \)\(12\!\cdots\!40\)\( T^{18} + \)\(10\!\cdots\!94\)\( T^{20} + \)\(63\!\cdots\!28\)\( T^{22} + \)\(18\!\cdots\!61\)\( T^{24} \))
$67$ (\( 1 + 180 T + 300763 T^{2} \))(\( 1 - 412 T + 300763 T^{2} \))(\( 1 + 196 T + 300763 T^{2} \))(\( 1 + 280 T + 300763 T^{2} \))(\( 1 + 280 T + 300763 T^{2} \))(\( 1 + 826 T + 300763 T^{2} \))(\( 1 + 280 T + 300763 T^{2} \))(\( 1 + 280 T + 300763 T^{2} \))(\( 1 + 164 T + 300763 T^{2} \))(\( 1 + 182 T + 300763 T^{2} \))(\( 1 + 668 T + 300763 T^{2} \))(\( 1 + 84 T + 300763 T^{2} \))(\( 1 + 182 T + 300763 T^{2} \))(\( 1 + 668 T + 300763 T^{2} \))(\( 1 - 812 T + 300763 T^{2} \))(\( 1 + 826 T + 300763 T^{2} \))(\( 1 - 126 T + 300763 T^{2} \))(\( 1 - 448 T + 300763 T^{2} \))(\( 1 - 448 T + 300763 T^{2} \))(\( 1 + 180 T + 300763 T^{2} \))(\( 1 + 152 T + 599110 T^{2} + 45715976 T^{3} + 90458382169 T^{4} \))(\( 1 + 356 T + 100374 T^{2} + 107071628 T^{3} + 90458382169 T^{4} \))(\( 1 - 468 T + 554906 T^{2} - 140757084 T^{3} + 90458382169 T^{4} \))(\( 1 - 468 T + 554906 T^{2} - 140757084 T^{3} + 90458382169 T^{4} \))(\( 1 - 694 T + 681118 T^{2} - 208729522 T^{3} + 90458382169 T^{4} \))(\( 1 + 104 T + 537670 T^{2} + 31279352 T^{3} + 90458382169 T^{4} \))(\( 1 - 694 T + 681118 T^{2} - 208729522 T^{3} + 90458382169 T^{4} \))(\( 1 + 1688 T + 1302310 T^{2} + 507687944 T^{3} + 90458382169 T^{4} \))(\( 1 - 1066 T + 760615 T^{2} - 320613358 T^{3} + 90458382169 T^{4} \))(\( 1 - 1066 T + 760615 T^{2} - 320613358 T^{3} + 90458382169 T^{4} \))(\( 1 - 736 T + 602470 T^{2} - 221361568 T^{3} + 90458382169 T^{4} \))(\( 1 + 1286 T + 1005453 T^{2} + 386781218 T^{3} + 90458382169 T^{4} \))(\( 1 + 1286 T + 1005453 T^{2} + 386781218 T^{3} + 90458382169 T^{4} \))(\( 1 + 788 T + 753430 T^{2} + 237001244 T^{3} + 90458382169 T^{4} \))(\( 1 - 806 T + 956790 T^{2} - 441427296 T^{3} + 287767030770 T^{4} - 72909456028214 T^{5} + 27206534396294947 T^{6} \))(\( 1 - 806 T + 956790 T^{2} - 441427296 T^{3} + 287767030770 T^{4} - 72909456028214 T^{5} + 27206534396294947 T^{6} \))(\( 1 + 52 T + 81089 T^{2} - 61774664 T^{3} + 24388570907 T^{4} + 4703835872788 T^{5} + 27206534396294947 T^{6} \))(\( 1 + 52 T + 81089 T^{2} - 61774664 T^{3} + 24388570907 T^{4} + 4703835872788 T^{5} + 27206534396294947 T^{6} \))(\( 1 - 204 T + 92049 T^{2} + 202232824 T^{3} + 27684933387 T^{4} - 18453509962476 T^{5} + 27206534396294947 T^{6} \))(\( 1 + 994 T + 1017116 T^{2} + 626696706 T^{3} + 409690183478 T^{4} + 188487181386678 T^{5} + 92006667838204604 T^{6} + 27043295189917177318 T^{7} + \)\(81\!\cdots\!61\)\( T^{8} \))(\( 1 + 994 T + 1017116 T^{2} + 626696706 T^{3} + 409690183478 T^{4} + 188487181386678 T^{5} + 92006667838204604 T^{6} + 27043295189917177318 T^{7} + \)\(81\!\cdots\!61\)\( T^{8} \))(\( 1 + 1036 T + 840646 T^{2} + 320834716 T^{3} + 175705970722 T^{4} + 96495211688308 T^{5} + 76043477136841174 T^{6} + 28185969634561565092 T^{7} + \)\(81\!\cdots\!61\)\( T^{8} \))(\( 1 + 1036 T + 840646 T^{2} + 320834716 T^{3} + 175705970722 T^{4} + 96495211688308 T^{5} + 76043477136841174 T^{6} + 28185969634561565092 T^{7} + \)\(81\!\cdots\!61\)\( T^{8} \))(\( 1 + 1776 T + 1851345 T^{2} + 1246453148 T^{3} + 690283291837 T^{4} + 353768637982420 T^{5} + 207611673702771631 T^{6} + \)\(11\!\cdots\!12\)\( T^{7} + \)\(50\!\cdots\!15\)\( T^{8} + \)\(14\!\cdots\!36\)\( T^{9} + \)\(24\!\cdots\!43\)\( T^{10} \))(\( 1 + 1776 T + 1851345 T^{2} + 1246453148 T^{3} + 690283291837 T^{4} + 353768637982420 T^{5} + 207611673702771631 T^{6} + \)\(11\!\cdots\!12\)\( T^{7} + \)\(50\!\cdots\!15\)\( T^{8} + \)\(14\!\cdots\!36\)\( T^{9} + \)\(24\!\cdots\!43\)\( T^{10} \))(\( 1 - 1118 T + 1339679 T^{2} - 1021242718 T^{3} + 748444613473 T^{4} - 429178132979164 T^{5} + 225104447281979899 T^{6} - 92379964072152295342 T^{7} + \)\(36\!\cdots\!13\)\( T^{8} - \)\(91\!\cdots\!98\)\( T^{9} + \)\(24\!\cdots\!43\)\( T^{10} \))(\( 1 - 1118 T + 1339679 T^{2} - 1021242718 T^{3} + 748444613473 T^{4} - 429178132979164 T^{5} + 225104447281979899 T^{6} - 92379964072152295342 T^{7} + \)\(36\!\cdots\!13\)\( T^{8} - \)\(91\!\cdots\!98\)\( T^{9} + \)\(24\!\cdots\!43\)\( T^{10} \))(\( 1 - 412 T + 803029 T^{2} - 425784204 T^{3} + 414855372669 T^{4} - 159644541100688 T^{5} + 124773146450046447 T^{6} - 38515750246955458476 T^{7} + \)\(21\!\cdots\!63\)\( T^{8} - \)\(33\!\cdots\!32\)\( T^{9} + \)\(24\!\cdots\!43\)\( T^{10} \))(\( 1 - 412 T + 803029 T^{2} - 425784204 T^{3} + 414855372669 T^{4} - 159644541100688 T^{5} + 124773146450046447 T^{6} - 38515750246955458476 T^{7} + \)\(21\!\cdots\!63\)\( T^{8} - \)\(33\!\cdots\!32\)\( T^{9} + \)\(24\!\cdots\!43\)\( T^{10} \))(\( ( 1 - 556 T + 262353 T^{2} + 43010104 T^{3} + 78906075339 T^{4} - 50294860485964 T^{5} + 27206534396294947 T^{6} )^{2} \))(\( ( 1 - 556 T + 262353 T^{2} + 43010104 T^{3} + 78906075339 T^{4} - 50294860485964 T^{5} + 27206534396294947 T^{6} )^{2} \))(\( 1 - 1768 T + 2799902 T^{2} - 2855569976 T^{3} + 2569585021227 T^{4} - 1777311287531536 T^{5} + 1093536943175084732 T^{6} - \)\(53\!\cdots\!68\)\( T^{7} + \)\(23\!\cdots\!63\)\( T^{8} - \)\(77\!\cdots\!72\)\( T^{9} + \)\(22\!\cdots\!22\)\( T^{10} - \)\(43\!\cdots\!24\)\( T^{11} + \)\(74\!\cdots\!09\)\( T^{12} \))(\( 1 - 1768 T + 2799902 T^{2} - 2855569976 T^{3} + 2569585021227 T^{4} - 1777311287531536 T^{5} + 1093536943175084732 T^{6} - \)\(53\!\cdots\!68\)\( T^{7} + \)\(23\!\cdots\!63\)\( T^{8} - \)\(77\!\cdots\!72\)\( T^{9} + \)\(22\!\cdots\!22\)\( T^{10} - \)\(43\!\cdots\!24\)\( T^{11} + \)\(74\!\cdots\!09\)\( T^{12} \))(\( 1 - 2 T + 1559783 T^{2} - 158979918 T^{3} + 1167172480337 T^{4} - 195614466067580 T^{5} + 565368720176704666 T^{6} - \)\(10\!\cdots\!24\)\( T^{7} + \)\(19\!\cdots\!54\)\( T^{8} - \)\(31\!\cdots\!12\)\( T^{9} + \)\(51\!\cdots\!54\)\( T^{10} - \)\(53\!\cdots\!60\)\( T^{11} + \)\(95\!\cdots\!57\)\( T^{12} - \)\(39\!\cdots\!74\)\( T^{13} + \)\(11\!\cdots\!47\)\( T^{14} - \)\(44\!\cdots\!34\)\( T^{15} + \)\(66\!\cdots\!21\)\( T^{16} \))(\( 1 - 2 T + 1559783 T^{2} - 158979918 T^{3} + 1167172480337 T^{4} - 195614466067580 T^{5} + 565368720176704666 T^{6} - \)\(10\!\cdots\!24\)\( T^{7} + \)\(19\!\cdots\!54\)\( T^{8} - \)\(31\!\cdots\!12\)\( T^{9} + \)\(51\!\cdots\!54\)\( T^{10} - \)\(53\!\cdots\!60\)\( T^{11} + \)\(95\!\cdots\!57\)\( T^{12} - \)\(39\!\cdots\!74\)\( T^{13} + \)\(11\!\cdots\!47\)\( T^{14} - \)\(44\!\cdots\!34\)\( T^{15} + \)\(66\!\cdots\!21\)\( T^{16} \))(\( 1 - 1964 T + 3283314 T^{2} - 3714347852 T^{3} + 3733500908320 T^{4} - 3038553105000172 T^{5} + 2258289159977344894 T^{6} - \)\(14\!\cdots\!56\)\( T^{7} + \)\(84\!\cdots\!22\)\( T^{8} - \)\(43\!\cdots\!28\)\( T^{9} + \)\(20\!\cdots\!86\)\( T^{10} - \)\(82\!\cdots\!84\)\( T^{11} + \)\(30\!\cdots\!20\)\( T^{12} - \)\(91\!\cdots\!36\)\( T^{13} + \)\(24\!\cdots\!26\)\( T^{14} - \)\(43\!\cdots\!88\)\( T^{15} + \)\(66\!\cdots\!21\)\( T^{16} \))(\( 1 - 1964 T + 3283314 T^{2} - 3714347852 T^{3} + 3733500908320 T^{4} - 3038553105000172 T^{5} + 2258289159977344894 T^{6} - \)\(14\!\cdots\!56\)\( T^{7} + \)\(84\!\cdots\!22\)\( T^{8} - \)\(43\!\cdots\!28\)\( T^{9} + \)\(20\!\cdots\!86\)\( T^{10} - \)\(82\!\cdots\!84\)\( T^{11} + \)\(30\!\cdots\!20\)\( T^{12} - \)\(91\!\cdots\!36\)\( T^{13} + \)\(24\!\cdots\!26\)\( T^{14} - \)\(43\!\cdots\!88\)\( T^{15} + \)\(66\!\cdots\!21\)\( T^{16} \))(\( 1 - 2 T + 1559783 T^{2} - 158979918 T^{3} + 1167172480337 T^{4} - 195614466067580 T^{5} + 565368720176704666 T^{6} - \)\(10\!\cdots\!24\)\( T^{7} + \)\(19\!\cdots\!54\)\( T^{8} - \)\(31\!\cdots\!12\)\( T^{9} + \)\(51\!\cdots\!54\)\( T^{10} - \)\(53\!\cdots\!60\)\( T^{11} + \)\(95\!\cdots\!57\)\( T^{12} - \)\(39\!\cdots\!74\)\( T^{13} + \)\(11\!\cdots\!47\)\( T^{14} - \)\(44\!\cdots\!34\)\( T^{15} + \)\(66\!\cdots\!21\)\( T^{16} \))(\( 1 - 2 T + 1559783 T^{2} - 158979918 T^{3} + 1167172480337 T^{4} - 195614466067580 T^{5} + 565368720176704666 T^{6} - \)\(10\!\cdots\!24\)\( T^{7} + \)\(19\!\cdots\!54\)\( T^{8} - \)\(31\!\cdots\!12\)\( T^{9} + \)\(51\!\cdots\!54\)\( T^{10} - \)\(53\!\cdots\!60\)\( T^{11} + \)\(95\!\cdots\!57\)\( T^{12} - \)\(39\!\cdots\!74\)\( T^{13} + \)\(11\!\cdots\!47\)\( T^{14} - \)\(44\!\cdots\!34\)\( T^{15} + \)\(66\!\cdots\!21\)\( T^{16} \))(\( ( 1 + 608 T + 903584 T^{2} + 519111280 T^{3} + 514130570847 T^{4} + 235954787542160 T^{5} + 183003770318555024 T^{6} + 70966469765542668080 T^{7} + \)\(46\!\cdots\!43\)\( T^{8} + \)\(14\!\cdots\!60\)\( T^{9} + \)\(73\!\cdots\!24\)\( T^{10} + \)\(14\!\cdots\!44\)\( T^{11} + \)\(74\!\cdots\!09\)\( T^{12} )^{2} \))(\( ( 1 + 608 T + 903584 T^{2} + 519111280 T^{3} + 514130570847 T^{4} + 235954787542160 T^{5} + 183003770318555024 T^{6} + 70966469765542668080 T^{7} + \)\(46\!\cdots\!43\)\( T^{8} + \)\(14\!\cdots\!60\)\( T^{9} + \)\(73\!\cdots\!24\)\( T^{10} + \)\(14\!\cdots\!44\)\( T^{11} + \)\(74\!\cdots\!09\)\( T^{12} )^{2} \))
$71$ (\( 1 + 700 T + 357911 T^{2} \))(\( 1 - 960 T + 357911 T^{2} \))(\( 1 - 288 T + 357911 T^{2} \))(\( 1 + 258 T + 357911 T^{2} \))(\( 1 + 48 T + 357911 T^{2} \))(\( 1 - 666 T + 357911 T^{2} \))(\( 1 + 48 T + 357911 T^{2} \))(\( 1 + 258 T + 357911 T^{2} \))(\( 1 + 672 T + 357911 T^{2} \))(\( 1 - 524 T + 357911 T^{2} \))(\( 1 - 308 T + 357911 T^{2} \))(\( 1 - 328 T + 357911 T^{2} \))(\( 1 - 524 T + 357911 T^{2} \))(\( 1 - 308 T + 357911 T^{2} \))(\( 1 + 810 T + 357911 T^{2} \))(\( 1 + 666 T + 357911 T^{2} \))(\( 1 + 412 T + 357911 T^{2} \))(\( 1 + 146 T + 357911 T^{2} \))(\( 1 + 146 T + 357911 T^{2} \))(\( 1 - 700 T + 357911 T^{2} \))(\( ( 1 - 952 T + 357911 T^{2} )^{2} \))(\( 1 + 310 T + 664038 T^{2} + 110952410 T^{3} + 128100283921 T^{4} \))(\( 1 - 1056 T + 949550 T^{2} - 377954016 T^{3} + 128100283921 T^{4} \))(\( 1 - 1056 T + 949550 T^{2} - 377954016 T^{3} + 128100283921 T^{4} \))(\( 1 - 814 T + 769934 T^{2} - 291339554 T^{3} + 128100283921 T^{4} \))(\( 1 + 1670 T + 1384382 T^{2} + 597711370 T^{3} + 128100283921 T^{4} \))(\( 1 + 814 T + 769934 T^{2} + 291339554 T^{3} + 128100283921 T^{4} \))(\( 1 - 136 T + 540446 T^{2} - 48675896 T^{3} + 128100283921 T^{4} \))(\( 1 - 1208 T + 959606 T^{2} - 432356488 T^{3} + 128100283921 T^{4} \))(\( 1 - 1208 T + 959606 T^{2} - 432356488 T^{3} + 128100283921 T^{4} \))(\( 1 - 740 T + 757502 T^{2} - 264854140 T^{3} + 128100283921 T^{4} \))(\( 1 + 1064 T + 753846 T^{2} + 380817304 T^{3} + 128100283921 T^{4} \))(\( 1 + 1064 T + 753846 T^{2} + 380817304 T^{3} + 128100283921 T^{4} \))(\( 1 + 454 T + 304526 T^{2} + 162491594 T^{3} + 128100283921 T^{4} \))(\( 1 - 406 T + 391273 T^{2} - 58294156 T^{3} + 140040910703 T^{4} - 52008715271926 T^{5} + 45848500718449031 T^{6} \))(\( 1 - 406 T + 391273 T^{2} - 58294156 T^{3} + 140040910703 T^{4} - 52008715271926 T^{5} + 45848500718449031 T^{6} \))(\( 1 + 416 T + 1050065 T^{2} + 283436624 T^{3} + 375829814215 T^{4} + 53289718111136 T^{5} + 45848500718449031 T^{6} \))(\( 1 - 416 T + 1050065 T^{2} - 283436624 T^{3} + 375829814215 T^{4} - 53289718111136 T^{5} + 45848500718449031 T^{6} \))(\( 1 - 136 T + 900677 T^{2} - 112926832 T^{3} + 322362205747 T^{4} - 17421638613256 T^{5} + 45848500718449031 T^{6} \))(\( 1 + 2442 T + 2673092 T^{2} + 1818684450 T^{3} + 1054822809494 T^{4} + 650927170183950 T^{5} + 342423844146953732 T^{6} + \)\(11\!\cdots\!02\)\( T^{7} + \)\(16\!\cdots\!41\)\( T^{8} \))(\( 1 + 2442 T + 2673092 T^{2} + 1818684450 T^{3} + 1054822809494 T^{4} + 650927170183950 T^{5} + 342423844146953732 T^{6} + \)\(11\!\cdots\!02\)\( T^{7} + \)\(16\!\cdots\!41\)\( T^{8} \))(\( 1 - 876 T + 792976 T^{2} - 539883132 T^{3} + 367674222558 T^{4} - 193230111657252 T^{5} + 101580450742538896 T^{6} - 40163286629361351156 T^{7} + \)\(16\!\cdots\!41\)\( T^{8} \))(\( 1 - 876 T + 792976 T^{2} - 539883132 T^{3} + 367674222558 T^{4} - 193230111657252 T^{5} + 101580450742538896 T^{6} - 40163286629361351156 T^{7} + \)\(16\!\cdots\!41\)\( T^{8} \))(\( 1 - 6 T + 797207 T^{2} + 67070712 T^{3} + 425455729610 T^{4} + 37303525976244 T^{5} + 152275285640444710 T^{6} + 8591777249983621752 T^{7} + \)\(36\!\cdots\!17\)\( T^{8} - \)\(98\!\cdots\!46\)\( T^{9} + \)\(58\!\cdots\!51\)\( T^{10} \))(\( 1 - 6 T + 797207 T^{2} + 67070712 T^{3} + 425455729610 T^{4} + 37303525976244 T^{5} + 152275285640444710 T^{6} + 8591777249983621752 T^{7} + \)\(36\!\cdots\!17\)\( T^{8} - \)\(98\!\cdots\!46\)\( T^{9} + \)\(58\!\cdots\!51\)\( T^{10} \))(\( 1 + 864 T + 1690919 T^{2} + 959528208 T^{3} + 1093514996270 T^{4} + 459054202031136 T^{5} + 391381045829991970 T^{6} + \)\(12\!\cdots\!68\)\( T^{7} + \)\(77\!\cdots\!89\)\( T^{8} + \)\(14\!\cdots\!24\)\( T^{9} + \)\(58\!\cdots\!51\)\( T^{10} \))(\( 1 + 864 T + 1690919 T^{2} + 959528208 T^{3} + 1093514996270 T^{4} + 459054202031136 T^{5} + 391381045829991970 T^{6} + \)\(12\!\cdots\!68\)\( T^{7} + \)\(77\!\cdots\!89\)\( T^{8} + \)\(14\!\cdots\!24\)\( T^{9} + \)\(58\!\cdots\!51\)\( T^{10} \))(\( 1 - 142 T + 1020275 T^{2} - 238977320 T^{3} + 602260486134 T^{4} - 107445186880572 T^{5} + 215555652852706074 T^{6} - 30613062542679671720 T^{7} + \)\(46\!\cdots\!25\)\( T^{8} - \)\(23\!\cdots\!22\)\( T^{9} + \)\(58\!\cdots\!51\)\( T^{10} \))(\( 1 - 142 T + 1020275 T^{2} - 238977320 T^{3} + 602260486134 T^{4} - 107445186880572 T^{5} + 215555652852706074 T^{6} - 30613062542679671720 T^{7} + \)\(46\!\cdots\!25\)\( T^{8} - \)\(23\!\cdots\!22\)\( T^{9} + \)\(58\!\cdots\!51\)\( T^{10} \))(\( 1 + 1993522 T^{2} + 1707171677167 T^{4} + 802969695744376412 T^{6} + \)\(21\!\cdots\!07\)\( T^{8} + \)\(32\!\cdots\!02\)\( T^{10} + \)\(21\!\cdots\!61\)\( T^{12} \))(\( 1 + 1993522 T^{2} + 1707171677167 T^{4} + 802969695744376412 T^{6} + \)\(21\!\cdots\!07\)\( T^{8} + \)\(32\!\cdots\!02\)\( T^{10} + \)\(21\!\cdots\!61\)\( T^{12} \))(\( 1 - 224 T + 735802 T^{2} + 33746048 T^{3} + 362779099663 T^{4} - 5782399589792 T^{5} + 175695286389376652 T^{6} - 2069584419582044512 T^{7} + \)\(46\!\cdots\!23\)\( T^{8} + \)\(15\!\cdots\!88\)\( T^{9} + \)\(12\!\cdots\!82\)\( T^{10} - \)\(13\!\cdots\!24\)\( T^{11} + \)\(21\!\cdots\!61\)\( T^{12} \))(\( 1 - 224 T + 735802 T^{2} + 33746048 T^{3} + 362779099663 T^{4} - 5782399589792 T^{5} + 175695286389376652 T^{6} - 2069584419582044512 T^{7} + \)\(46\!\cdots\!23\)\( T^{8} + \)\(15\!\cdots\!88\)\( T^{9} + \)\(12\!\cdots\!82\)\( T^{10} - \)\(13\!\cdots\!24\)\( T^{11} + \)\(21\!\cdots\!61\)\( T^{12} \))(\( 1 + 1516 T + 2294092 T^{2} + 1988968800 T^{3} + 1567706957560 T^{4} + 797120393829944 T^{5} + 368617922003525640 T^{6} + 74775492426437319908 T^{7} + \)\(40\!\cdots\!62\)\( T^{8} + \)\(26\!\cdots\!88\)\( T^{9} + \)\(47\!\cdots\!40\)\( T^{10} + \)\(36\!\cdots\!64\)\( T^{11} + \)\(25\!\cdots\!60\)\( T^{12} + \)\(11\!\cdots\!00\)\( T^{13} + \)\(48\!\cdots\!12\)\( T^{14} + \)\(11\!\cdots\!36\)\( T^{15} + \)\(26\!\cdots\!81\)\( T^{16} \))(\( 1 + 1516 T + 2294092 T^{2} + 1988968800 T^{3} + 1567706957560 T^{4} + 797120393829944 T^{5} + 368617922003525640 T^{6} + 74775492426437319908 T^{7} + \)\(40\!\cdots\!62\)\( T^{8} + \)\(26\!\cdots\!88\)\( T^{9} + \)\(47\!\cdots\!40\)\( T^{10} + \)\(36\!\cdots\!64\)\( T^{11} + \)\(25\!\cdots\!60\)\( T^{12} + \)\(11\!\cdots\!00\)\( T^{13} + \)\(48\!\cdots\!12\)\( T^{14} + \)\(11\!\cdots\!36\)\( T^{15} + \)\(26\!\cdots\!81\)\( T^{16} \))(\( 1 - 4 T + 2234556 T^{2} - 72847780 T^{3} + 2284303815268 T^{4} - 116326768419060 T^{5} + 1426863974765567108 T^{6} - 79708983930645476628 T^{7} + \)\(60\!\cdots\!66\)\( T^{8} - \)\(28\!\cdots\!08\)\( T^{9} + \)\(18\!\cdots\!68\)\( T^{10} - \)\(53\!\cdots\!60\)\( T^{11} + \)\(37\!\cdots\!88\)\( T^{12} - \)\(42\!\cdots\!80\)\( T^{13} + \)\(46\!\cdots\!16\)\( T^{14} - \)\(30\!\cdots\!84\)\( T^{15} + \)\(26\!\cdots\!81\)\( T^{16} \))(\( 1 - 4 T + 2234556 T^{2} - 72847780 T^{3} + 2284303815268 T^{4} - 116326768419060 T^{5} + 1426863974765567108 T^{6} - 79708983930645476628 T^{7} + \)\(60\!\cdots\!66\)\( T^{8} - \)\(28\!\cdots\!08\)\( T^{9} + \)\(18\!\cdots\!68\)\( T^{10} - \)\(53\!\cdots\!60\)\( T^{11} + \)\(37\!\cdots\!88\)\( T^{12} - \)\(42\!\cdots\!80\)\( T^{13} + \)\(46\!\cdots\!16\)\( T^{14} - \)\(30\!\cdots\!84\)\( T^{15} + \)\(26\!\cdots\!81\)\( T^{16} \))(\( 1 - 1516 T + 2294092 T^{2} - 1988968800 T^{3} + 1567706957560 T^{4} - 797120393829944 T^{5} + 368617922003525640 T^{6} - 74775492426437319908 T^{7} + \)\(40\!\cdots\!62\)\( T^{8} - \)\(26\!\cdots\!88\)\( T^{9} + \)\(47\!\cdots\!40\)\( T^{10} - \)\(36\!\cdots\!64\)\( T^{11} + \)\(25\!\cdots\!60\)\( T^{12} - \)\(11\!\cdots\!00\)\( T^{13} + \)\(48\!\cdots\!12\)\( T^{14} - \)\(11\!\cdots\!36\)\( T^{15} + \)\(26\!\cdots\!81\)\( T^{16} \))(\( 1 - 1516 T + 2294092 T^{2} - 1988968800 T^{3} + 1567706957560 T^{4} - 797120393829944 T^{5} + 368617922003525640 T^{6} - 74775492426437319908 T^{7} + \)\(40\!\cdots\!62\)\( T^{8} - \)\(26\!\cdots\!88\)\( T^{9} + \)\(47\!\cdots\!40\)\( T^{10} - \)\(36\!\cdots\!64\)\( T^{11} + \)\(25\!\cdots\!60\)\( T^{12} - \)\(11\!\cdots\!00\)\( T^{13} + \)\(48\!\cdots\!12\)\( T^{14} - \)\(11\!\cdots\!36\)\( T^{15} + \)\(26\!\cdots\!81\)\( T^{16} \))(\( 1 + 1419124 T^{2} + 1250700816578 T^{4} + 748451539608361572 T^{6} + \)\(36\!\cdots\!71\)\( T^{8} + \)\(14\!\cdots\!40\)\( T^{10} + \)\(54\!\cdots\!92\)\( T^{12} + \)\(18\!\cdots\!40\)\( T^{14} + \)\(59\!\cdots\!11\)\( T^{16} + \)\(15\!\cdots\!92\)\( T^{18} + \)\(33\!\cdots\!18\)\( T^{20} + \)\(48\!\cdots\!24\)\( T^{22} + \)\(44\!\cdots\!21\)\( T^{24} \))(\( 1 + 1419124 T^{2} + 1250700816578 T^{4} + 748451539608361572 T^{6} + \)\(36\!\cdots\!71\)\( T^{8} + \)\(14\!\cdots\!40\)\( T^{10} + \)\(54\!\cdots\!92\)\( T^{12} + \)\(18\!\cdots\!40\)\( T^{14} + \)\(59\!\cdots\!11\)\( T^{16} + \)\(15\!\cdots\!92\)\( T^{18} + \)\(33\!\cdots\!18\)\( T^{20} + \)\(48\!\cdots\!24\)\( T^{22} + \)\(44\!\cdots\!21\)\( T^{24} \))
$73$ (\( 1 - 410 T + 389017 T^{2} \))(\( 1 + 1066 T + 389017 T^{2} \))(\( 1 - 430 T + 389017 T^{2} \))(\( 1 + 578 T + 389017 T^{2} \))(\( 1 - 668 T + 389017 T^{2} \))(\( 1 - 826 T + 389017 T^{2} \))(\( 1 + 668 T + 389017 T^{2} \))(\( 1 - 578 T + 389017 T^{2} \))(\( 1 + 82 T + 389017 T^{2} \))(\( 1 - 690 T + 389017 T^{2} \))(\( 1 + 12 T + 389017 T^{2} \))(\( 1 - 38 T + 389017 T^{2} \))(\( 1 + 690 T + 389017 T^{2} \))(\( 1 - 12 T + 389017 T^{2} \))(\( 1 - 124 T + 389017 T^{2} \))(\( 1 - 826 T + 389017 T^{2} \))(\( 1 - 878 T + 389017 T^{2} \))(\( 1 - 360 T + 389017 T^{2} \))(\( 1 + 360 T + 389017 T^{2} \))(\( 1 - 410 T + 389017 T^{2} \))(\( 1 + 676 T + 655606 T^{2} + 262975492 T^{3} + 151334226289 T^{4} \))(\( 1 + 326 T + 789802 T^{2} + 126819542 T^{3} + 151334226289 T^{4} \))(\( 1 + 860 T + 522934 T^{2} + 334554620 T^{3} + 151334226289 T^{4} \))(\( 1 - 860 T + 522934 T^{2} - 334554620 T^{3} + 151334226289 T^{4} \))(\( 1 + 82 T + 422290 T^{2} + 31899394 T^{3} + 151334226289 T^{4} \))(\( 1 - 386 T + 152218 T^{2} - 150160562 T^{3} + 151334226289 T^{4} \))(\( 1 + 82 T + 422290 T^{2} + 31899394 T^{3} + 151334226289 T^{4} \))(\( 1 + 508 T + 13078 T^{2} + 197620636 T^{3} + 151334226289 T^{4} \))(\( 1 + 1654 T + 1461763 T^{2} + 643434118 T^{3} + 151334226289 T^{4} \))(\( 1 - 1654 T + 1461763 T^{2} - 643434118 T^{3} + 151334226289 T^{4} \))(\( 1 + 424 T + 748558 T^{2} + 164943208 T^{3} + 151334226289 T^{4} \))(\( 1 + 172 T + 757582 T^{2} + 66910924 T^{3} + 151334226289 T^{4} \))(\( 1 - 172 T + 757582 T^{2} - 66910924 T^{3} + 151334226289 T^{4} \))(\( 1 + 778 T + 794698 T^{2} + 302655226 T^{3} + 151334226289 T^{4} \))(\( 1 + 1192 T + 1524996 T^{2} + 931572678 T^{3} + 593249368932 T^{4} + 180390397736488 T^{5} + 58871586708267913 T^{6} \))(\( 1 - 1192 T + 1524996 T^{2} - 931572678 T^{3} + 593249368932 T^{4} - 180390397736488 T^{5} + 58871586708267913 T^{6} \))(\( 1 - 312 T + 987991 T^{2} - 198811072 T^{3} + 384345294847 T^{4} - 47216278602168 T^{5} + 58871586708267913 T^{6} \))(\( 1 - 312 T + 987991 T^{2} - 198811072 T^{3} + 384345294847 T^{4} - 47216278602168 T^{5} + 58871586708267913 T^{6} \))(\( 1 + 310 T + 450279 T^{2} + 192471924 T^{3} + 175166185743 T^{4} + 46913610149590 T^{5} + 58871586708267913 T^{6} \))(\( 1 - 14 T + 629040 T^{2} + 193498926 T^{3} + 222361463902 T^{4} + 75274371695742 T^{5} + 95195281704832560 T^{6} - 824202213915750782 T^{7} + \)\(22\!\cdots\!21\)\( T^{8} \))(\( 1 + 14 T + 629040 T^{2} - 193498926 T^{3} + 222361463902 T^{4} - 75274371695742 T^{5} + 95195281704832560 T^{6} + 824202213915750782 T^{7} + \)\(22\!\cdots\!21\)\( T^{8} \))(\( 1 + 420 T + 1220176 T^{2} + 336090060 T^{3} + 642279652830 T^{4} + 130744746871020 T^{5} + 184654390896406864 T^{6} + 24726066417472523460 T^{7} + \)\(22\!\cdots\!21\)\( T^{8} \))(\( 1 - 420 T + 1220176 T^{2} - 336090060 T^{3} + 642279652830 T^{4} - 130744746871020 T^{5} + 184654390896406864 T^{6} - 24726066417472523460 T^{7} + \)\(22\!\cdots\!21\)\( T^{8} \))(\( 1 - 2006 T + 1810591 T^{2} - 781927352 T^{3} + 92460264673 T^{4} + 64315791527426 T^{5} + 35968614782296441 T^{6} - \)\(11\!\cdots\!28\)\( T^{7} + \)\(10\!\cdots\!83\)\( T^{8} - \)\(45\!\cdots\!26\)\( T^{9} + \)\(89\!\cdots\!57\)\( T^{10} \))(\( 1 + 2006 T + 1810591 T^{2} + 781927352 T^{3} + 92460264673 T^{4} - 64315791527426 T^{5} + 35968614782296441 T^{6} + \)\(11\!\cdots\!28\)\( T^{7} + \)\(10\!\cdots\!83\)\( T^{8} + \)\(45\!\cdots\!26\)\( T^{9} + \)\(89\!\cdots\!57\)\( T^{10} \))(\( 1 - 1652 T + 2542033 T^{2} - 2388160624 T^{3} + 2082687842054 T^{4} - 1341889113242744 T^{5} + 810200976252320918 T^{6} - \)\(36\!\cdots\!36\)\( T^{7} + \)\(14\!\cdots\!29\)\( T^{8} - \)\(37\!\cdots\!92\)\( T^{9} + \)\(89\!\cdots\!57\)\( T^{10} \))(\( 1 + 1652 T + 2542033 T^{2} + 2388160624 T^{3} + 2082687842054 T^{4} + 1341889113242744 T^{5} + 810200976252320918 T^{6} + \)\(36\!\cdots\!36\)\( T^{7} + \)\(14\!\cdots\!29\)\( T^{8} + \)\(37\!\cdots\!92\)\( T^{9} + \)\(89\!\cdots\!57\)\( T^{10} \))(\( 1 - 2074 T + 3294611 T^{2} - 3405083248 T^{3} + 2994705042233 T^{4} - 2001958016751466 T^{5} + 1164991171414354961 T^{6} - \)\(51\!\cdots\!72\)\( T^{7} + \)\(19\!\cdots\!43\)\( T^{8} - \)\(47\!\cdots\!54\)\( T^{9} + \)\(89\!\cdots\!57\)\( T^{10} \))(\( 1 + 2074 T + 3294611 T^{2} + 3405083248 T^{3} + 2994705042233 T^{4} + 2001958016751466 T^{5} + 1164991171414354961 T^{6} + \)\(51\!\cdots\!72\)\( T^{7} + \)\(19\!\cdots\!43\)\( T^{8} + \)\(47\!\cdots\!54\)\( T^{9} + \)\(89\!\cdots\!57\)\( T^{10} \))(\( 1 + 361278 T^{2} - 19156046897 T^{4} - 93754135461399356 T^{6} - \)\(28\!\cdots\!33\)\( T^{8} + \)\(82\!\cdots\!38\)\( T^{10} + \)\(34\!\cdots\!69\)\( T^{12} \))(\( 1 + 361278 T^{2} - 19156046897 T^{4} - 93754135461399356 T^{6} - \)\(28\!\cdots\!33\)\( T^{8} + \)\(82\!\cdots\!38\)\( T^{10} + \)\(34\!\cdots\!69\)\( T^{12} \))(\( 1 + 2640 T + 4127428 T^{2} + 4281599440 T^{3} + 3477156414455 T^{4} + 2335723050987360 T^{5} + 1487916107494354120 T^{6} + \)\(90\!\cdots\!20\)\( T^{7} + \)\(52\!\cdots\!95\)\( T^{8} + \)\(25\!\cdots\!20\)\( T^{9} + \)\(94\!\cdots\!88\)\( T^{10} + \)\(23\!\cdots\!80\)\( T^{11} + \)\(34\!\cdots\!69\)\( T^{12} \))(\( 1 - 2640 T + 4127428 T^{2} - 4281599440 T^{3} + 3477156414455 T^{4} - 2335723050987360 T^{5} + 1487916107494354120 T^{6} - \)\(90\!\cdots\!20\)\( T^{7} + \)\(52\!\cdots\!95\)\( T^{8} - \)\(25\!\cdots\!20\)\( T^{9} + \)\(94\!\cdots\!88\)\( T^{10} - \)\(23\!\cdots\!80\)\( T^{11} + \)\(34\!\cdots\!69\)\( T^{12} \))(\( 1 + 86 T + 1501247 T^{2} + 356411958 T^{3} + 967212062437 T^{4} + 323067494113108 T^{5} + 424321570969669454 T^{6} + \)\(14\!\cdots\!84\)\( T^{7} + \)\(16\!\cdots\!14\)\( T^{8} + \)\(55\!\cdots\!28\)\( T^{9} + \)\(64\!\cdots\!06\)\( T^{10} + \)\(19\!\cdots\!04\)\( T^{11} + \)\(22\!\cdots\!77\)\( T^{12} + \)\(31\!\cdots\!06\)\( T^{13} + \)\(52\!\cdots\!43\)\( T^{14} + \)\(11\!\cdots\!78\)\( T^{15} + \)\(52\!\cdots\!41\)\( T^{16} \))(\( 1 - 86 T + 1501247 T^{2} - 356411958 T^{3} + 967212062437 T^{4} - 323067494113108 T^{5} + 424321570969669454 T^{6} - \)\(14\!\cdots\!84\)\( T^{7} + \)\(16\!\cdots\!14\)\( T^{8} - \)\(55\!\cdots\!28\)\( T^{9} + \)\(64\!\cdots\!06\)\( T^{10} - \)\(19\!\cdots\!04\)\( T^{11} + \)\(22\!\cdots\!77\)\( T^{12} - \)\(31\!\cdots\!06\)\( T^{13} + \)\(52\!\cdots\!43\)\( T^{14} - \)\(11\!\cdots\!78\)\( T^{15} + \)\(52\!\cdots\!41\)\( T^{16} \))(\( 1 + 1500 T + 2874492 T^{2} + 2878795844 T^{3} + 3079614034340 T^{4} + 2348116961277292 T^{5} + 1837496040779094852 T^{6} + \)\(11\!\cdots\!28\)\( T^{7} + \)\(79\!\cdots\!70\)\( T^{8} + \)\(46\!\cdots\!76\)\( T^{9} + \)\(27\!\cdots\!28\)\( T^{10} + \)\(13\!\cdots\!96\)\( T^{11} + \)\(70\!\cdots\!40\)\( T^{12} + \)\(25\!\cdots\!08\)\( T^{13} + \)\(99\!\cdots\!48\)\( T^{14} + \)\(20\!\cdots\!00\)\( T^{15} + \)\(52\!\cdots\!41\)\( T^{16} \))(\( 1 - 1500 T + 2874492 T^{2} - 2878795844 T^{3} + 3079614034340 T^{4} - 2348116961277292 T^{5} + 1837496040779094852 T^{6} - \)\(11\!\cdots\!28\)\( T^{7} + \)\(79\!\cdots\!70\)\( T^{8} - \)\(46\!\cdots\!76\)\( T^{9} + \)\(27\!\cdots\!28\)\( T^{10} - \)\(13\!\cdots\!96\)\( T^{11} + \)\(70\!\cdots\!40\)\( T^{12} - \)\(25\!\cdots\!08\)\( T^{13} + \)\(99\!\cdots\!48\)\( T^{14} - \)\(20\!\cdots\!00\)\( T^{15} + \)\(52\!\cdots\!41\)\( T^{16} \))(\( 1 - 86 T + 1501247 T^{2} - 356411958 T^{3} + 967212062437 T^{4} - 323067494113108 T^{5} + 424321570969669454 T^{6} - \)\(14\!\cdots\!84\)\( T^{7} + \)\(16\!\cdots\!14\)\( T^{8} - \)\(55\!\cdots\!28\)\( T^{9} + \)\(64\!\cdots\!06\)\( T^{10} - \)\(19\!\cdots\!04\)\( T^{11} + \)\(22\!\cdots\!77\)\( T^{12} - \)\(31\!\cdots\!06\)\( T^{13} + \)\(52\!\cdots\!43\)\( T^{14} - \)\(11\!\cdots\!78\)\( T^{15} + \)\(52\!\cdots\!41\)\( T^{16} \))(\( 1 + 86 T + 1501247 T^{2} + 356411958 T^{3} + 967212062437 T^{4} + 323067494113108 T^{5} + 424321570969669454 T^{6} + \)\(14\!\cdots\!84\)\( T^{7} + \)\(16\!\cdots\!14\)\( T^{8} + \)\(55\!\cdots\!28\)\( T^{9} + \)\(64\!\cdots\!06\)\( T^{10} + \)\(19\!\cdots\!04\)\( T^{11} + \)\(22\!\cdots\!77\)\( T^{12} + \)\(31\!\cdots\!06\)\( T^{13} + \)\(52\!\cdots\!43\)\( T^{14} + \)\(11\!\cdots\!78\)\( T^{15} + \)\(52\!\cdots\!41\)\( T^{16} \))(\( 1 + 2461196 T^{2} + 2683094387714 T^{4} + 1616349273101545628 T^{6} + \)\(51\!\cdots\!67\)\( T^{8} + \)\(43\!\cdots\!92\)\( T^{10} - \)\(19\!\cdots\!52\)\( T^{12} + \)\(65\!\cdots\!88\)\( T^{14} + \)\(11\!\cdots\!07\)\( T^{16} + \)\(56\!\cdots\!32\)\( T^{18} + \)\(14\!\cdots\!74\)\( T^{20} + \)\(19\!\cdots\!04\)\( T^{22} + \)\(12\!\cdots\!61\)\( T^{24} \))(\( 1 + 2461196 T^{2} + 2683094387714 T^{4} + 1616349273101545628 T^{6} + \)\(51\!\cdots\!67\)\( T^{8} + \)\(43\!\cdots\!92\)\( T^{10} - \)\(19\!\cdots\!52\)\( T^{12} + \)\(65\!\cdots\!88\)\( T^{14} + \)\(11\!\cdots\!07\)\( T^{16} + \)\(56\!\cdots\!32\)\( T^{18} + \)\(14\!\cdots\!74\)\( T^{20} + \)\(19\!\cdots\!04\)\( T^{22} + \)\(12\!\cdots\!61\)\( T^{24} \))
$79$ (\( 1 + 516 T + 493039 T^{2} \))(\( 1 - 896 T + 493039 T^{2} \))(\( 1 + 520 T + 493039 T^{2} \))(\( 1 - 152 T + 493039 T^{2} \))(\( 1 - 782 T + 493039 T^{2} \))(\( 1 + 592 T + 493039 T^{2} \))(\( 1 - 782 T + 493039 T^{2} \))(\( 1 - 152 T + 493039 T^{2} \))(\( 1 + 1000 T + 493039 T^{2} \))(\( 1 + 1024 T + 493039 T^{2} \))(\( 1 - 596 T + 493039 T^{2} \))(\( 1 + 240 T + 493039 T^{2} \))(\( 1 + 1024 T + 493039 T^{2} \))(\( 1 - 596 T + 493039 T^{2} \))(\( 1 - 1136 T + 493039 T^{2} \))(\( 1 + 592 T + 493039 T^{2} \))(\( 1 - 600 T + 493039 T^{2} \))(\( 1 - 236 T + 493039 T^{2} \))(\( 1 - 236 T + 493039 T^{2} \))(\( 1 + 516 T + 493039 T^{2} \))(\( 1 - 1014 T + 1120119 T^{2} - 499941546 T^{3} + 243087455521 T^{4} \))(\( 1 - 1832 T + 1824478 T^{2} - 903247448 T^{3} + 243087455521 T^{4} \))(\( 1 - 158 T - 339825 T^{2} - 77900162 T^{3} + 243087455521 T^{4} \))(\( 1 - 158 T - 339825 T^{2} - 77900162 T^{3} + 243087455521 T^{4} \))(\( 1 - 600 T + 618846 T^{2} - 295823400 T^{3} + 243087455521 T^{4} \))(\( 1 + 888 T + 1007454 T^{2} + 437818632 T^{3} + 243087455521 T^{4} \))(\( 1 - 600 T + 618846 T^{2} - 295823400 T^{3} + 243087455521 T^{4} \))(\( 1 + 432 T + 602142 T^{2} + 212992848 T^{3} + 243087455521 T^{4} \))(\( 1 - 1134 T + 1305519 T^{2} - 559106226 T^{3} + 243087455521 T^{4} \))(\( 1 - 1134 T + 1305519 T^{2} - 559106226 T^{3} + 243087455521 T^{4} \))(\( 1 + 408 T - 143586 T^{2} + 201159912 T^{3} + 243087455521 T^{4} \))(\( 1 + 1240 T + 1278886 T^{2} + 611368360 T^{3} + 243087455521 T^{4} \))(\( 1 + 1240 T + 1278886 T^{2} + 611368360 T^{3} + 243087455521 T^{4} \))(\( 1 - 408 T + 994782 T^{2} - 201159912 T^{3} + 243087455521 T^{4} \))(\( 1 + 2590 T + 3310582 T^{2} + 2751421632 T^{3} + 1632246038698 T^{4} + 629596509799390 T^{5} + 119851595982618319 T^{6} \))(\( 1 + 2590 T + 3310582 T^{2} + 2751421632 T^{3} + 1632246038698 T^{4} + 629596509799390 T^{5} + 119851595982618319 T^{6} \))(\( 1 + 488 T + 50733 T^{2} + 198311472 T^{3} + 25013347587 T^{4} + 118626678294248 T^{5} + 119851595982618319 T^{6} \))(\( 1 + 488 T + 50733 T^{2} + 198311472 T^{3} + 25013347587 T^{4} + 118626678294248 T^{5} + 119851595982618319 T^{6} \))(\( 1 + 1034 T + 1094262 T^{2} + 675989052 T^{3} + 539513842218 T^{4} + 251352429008714 T^{5} + 119851595982618319 T^{6} \))(\( 1 + 252 T + 618908 T^{2} - 532621620 T^{3} - 16356522234 T^{4} - 262603230903180 T^{5} + 150448770921591068 T^{6} + 30202602187619816388 T^{7} + \)\(59\!\cdots\!41\)\( T^{8} \))(\( 1 + 252 T + 618908 T^{2} - 532621620 T^{3} - 16356522234 T^{4} - 262603230903180 T^{5} + 150448770921591068 T^{6} + 30202602187619816388 T^{7} + \)\(59\!\cdots\!41\)\( T^{8} \))(\( 1 + 700 T + 1876864 T^{2} + 985235980 T^{3} + 1369405784254 T^{4} + 485759762343220 T^{5} + 456242094118966144 T^{6} + 83896117187832823300 T^{7} + \)\(59\!\cdots\!41\)\( T^{8} \))(\( 1 + 700 T + 1876864 T^{2} + 985235980 T^{3} + 1369405784254 T^{4} + 485759762343220 T^{5} + 456242094118966144 T^{6} + 83896117187832823300 T^{7} + \)\(59\!\cdots\!41\)\( T^{8} \))(\( 1 - 200 T + 1945761 T^{2} - 455470252 T^{3} + 1672035868441 T^{4} - 350744717609740 T^{5} + 824378892540282199 T^{6} - \)\(11\!\cdots\!92\)\( T^{7} + \)\(23\!\cdots\!59\)\( T^{8} - \)\(11\!\cdots\!00\)\( T^{9} + \)\(29\!\cdots\!99\)\( T^{10} \))(\( 1 - 200 T + 1945761 T^{2} - 455470252 T^{3} + 1672035868441 T^{4} - 350744717609740 T^{5} + 824378892540282199 T^{6} - \)\(11\!\cdots\!92\)\( T^{7} + \)\(23\!\cdots\!59\)\( T^{8} - \)\(11\!\cdots\!00\)\( T^{9} + \)\(29\!\cdots\!99\)\( T^{10} \))(\( 1 - 218 T + 1501191 T^{2} - 164611504 T^{3} + 1132361617846 T^{4} - 88901695268332 T^{5} + 558298439701173994 T^{6} - 40014991656844913584 T^{7} + \)\(17\!\cdots\!29\)\( T^{8} - \)\(12\!\cdots\!38\)\( T^{9} + \)\(29\!\cdots\!99\)\( T^{10} \))(\( 1 - 218 T + 1501191 T^{2} - 164611504 T^{3} + 1132361617846 T^{4} - 88901695268332 T^{5} + 558298439701173994 T^{6} - 40014991656844913584 T^{7} + \)\(17\!\cdots\!29\)\( T^{8} - \)\(12\!\cdots\!38\)\( T^{9} + \)\(29\!\cdots\!99\)\( T^{10} \))(\( 1 - 28 T + 1714017 T^{2} + 44922060 T^{3} + 1414598818969 T^{4} + 39159445105048 T^{5} + 697452387105656791 T^{6} + 10919989262161693260 T^{7} + \)\(20\!\cdots\!23\)\( T^{8} - \)\(16\!\cdots\!48\)\( T^{9} + \)\(29\!\cdots\!99\)\( T^{10} \))(\( 1 - 28 T + 1714017 T^{2} + 44922060 T^{3} + 1414598818969 T^{4} + 39159445105048 T^{5} + 697452387105656791 T^{6} + 10919989262161693260 T^{7} + \)\(20\!\cdots\!23\)\( T^{8} - \)\(16\!\cdots\!48\)\( T^{9} + \)\(29\!\cdots\!99\)\( T^{10} \))(\( ( 1 - 700 T + 1616525 T^{2} - 696310024 T^{3} + 797009869475 T^{4} - 170161218864700 T^{5} + 119851595982618319 T^{6} )^{2} \))(\( ( 1 - 700 T + 1616525 T^{2} - 696310024 T^{3} + 797009869475 T^{4} - 170161218864700 T^{5} + 119851595982618319 T^{6} )^{2} \))(\( 1 - 1636 T + 3307008 T^{2} - 3299361688 T^{3} + 3796696094800 T^{4} - 2753755692366396 T^{5} + 2363360511013187334 T^{6} - \)\(13\!\cdots\!44\)\( T^{7} + \)\(92\!\cdots\!00\)\( T^{8} - \)\(39\!\cdots\!72\)\( T^{9} + \)\(19\!\cdots\!28\)\( T^{10} - \)\(47\!\cdots\!64\)\( T^{11} + \)\(14\!\cdots\!61\)\( T^{12} \))(\( 1 - 1636 T + 3307008 T^{2} - 3299361688 T^{3} + 3796696094800 T^{4} - 2753755692366396 T^{5} + 2363360511013187334 T^{6} - \)\(13\!\cdots\!44\)\( T^{7} + \)\(92\!\cdots\!00\)\( T^{8} - \)\(39\!\cdots\!72\)\( T^{9} + \)\(19\!\cdots\!28\)\( T^{10} - \)\(47\!\cdots\!64\)\( T^{11} + \)\(14\!\cdots\!61\)\( T^{12} \))(\( 1 + 42 T + 2504903 T^{2} + 147254330 T^{3} + 3156951030713 T^{4} + 211877017147284 T^{5} + 2589658258404474062 T^{6} + \)\(16\!\cdots\!28\)\( T^{7} + \)\(15\!\cdots\!86\)\( T^{8} + \)\(82\!\cdots\!92\)\( T^{9} + \)\(62\!\cdots\!02\)\( T^{10} + \)\(25\!\cdots\!96\)\( T^{11} + \)\(18\!\cdots\!33\)\( T^{12} + \)\(42\!\cdots\!70\)\( T^{13} + \)\(35\!\cdots\!83\)\( T^{14} + \)\(29\!\cdots\!18\)\( T^{15} + \)\(34\!\cdots\!81\)\( T^{16} \))(\( 1 + 42 T + 2504903 T^{2} + 147254330 T^{3} + 3156951030713 T^{4} + 211877017147284 T^{5} + 2589658258404474062 T^{6} + \)\(16\!\cdots\!28\)\( T^{7} + \)\(15\!\cdots\!86\)\( T^{8} + \)\(82\!\cdots\!92\)\( T^{9} + \)\(62\!\cdots\!02\)\( T^{10} + \)\(25\!\cdots\!96\)\( T^{11} + \)\(18\!\cdots\!33\)\( T^{12} + \)\(42\!\cdots\!70\)\( T^{13} + \)\(35\!\cdots\!83\)\( T^{14} + \)\(29\!\cdots\!18\)\( T^{15} + \)\(34\!\cdots\!81\)\( T^{16} \))(\( 1 + 460 T + 1747876 T^{2} + 762413644 T^{3} + 1821838586692 T^{4} + 768642303676252 T^{5} + 1358838145906554844 T^{6} + \)\(51\!\cdots\!60\)\( T^{7} + \)\(75\!\cdots\!38\)\( T^{8} + \)\(25\!\cdots\!40\)\( T^{9} + \)\(33\!\cdots\!24\)\( T^{10} + \)\(92\!\cdots\!88\)\( T^{11} + \)\(10\!\cdots\!72\)\( T^{12} + \)\(22\!\cdots\!56\)\( T^{13} + \)\(25\!\cdots\!36\)\( T^{14} + \)\(32\!\cdots\!40\)\( T^{15} + \)\(34\!\cdots\!81\)\( T^{16} \))(\( 1 + 460 T + 1747876 T^{2} + 762413644 T^{3} + 1821838586692 T^{4} + 768642303676252 T^{5} + 1358838145906554844 T^{6} + \)\(51\!\cdots\!60\)\( T^{7} + \)\(75\!\cdots\!38\)\( T^{8} + \)\(25\!\cdots\!40\)\( T^{9} + \)\(33\!\cdots\!24\)\( T^{10} + \)\(92\!\cdots\!88\)\( T^{11} + \)\(10\!\cdots\!72\)\( T^{12} + \)\(22\!\cdots\!56\)\( T^{13} + \)\(25\!\cdots\!36\)\( T^{14} + \)\(32\!\cdots\!40\)\( T^{15} + \)\(34\!\cdots\!81\)\( T^{16} \))(\( 1 + 42 T + 2504903 T^{2} + 147254330 T^{3} + 3156951030713 T^{4} + 211877017147284 T^{5} + 2589658258404474062 T^{6} + \)\(16\!\cdots\!28\)\( T^{7} + \)\(15\!\cdots\!86\)\( T^{8} + \)\(82\!\cdots\!92\)\( T^{9} + \)\(62\!\cdots\!02\)\( T^{10} + \)\(25\!\cdots\!96\)\( T^{11} + \)\(18\!\cdots\!33\)\( T^{12} + \)\(42\!\cdots\!70\)\( T^{13} + \)\(35\!\cdots\!83\)\( T^{14} + \)\(29\!\cdots\!18\)\( T^{15} + \)\(34\!\cdots\!81\)\( T^{16} \))(\( 1 + 42 T + 2504903 T^{2} + 147254330 T^{3} + 3156951030713 T^{4} + 211877017147284 T^{5} + 2589658258404474062 T^{6} + \)\(16\!\cdots\!28\)\( T^{7} + \)\(15\!\cdots\!86\)\( T^{8} + \)\(82\!\cdots\!92\)\( T^{9} + \)\(62\!\cdots\!02\)\( T^{10} + \)\(25\!\cdots\!96\)\( T^{11} + \)\(18\!\cdots\!33\)\( T^{12} + \)\(42\!\cdots\!70\)\( T^{13} + \)\(35\!\cdots\!83\)\( T^{14} + \)\(29\!\cdots\!18\)\( T^{15} + \)\(34\!\cdots\!81\)\( T^{16} \))(\( ( 1 + 236 T + 845490 T^{2} + 495475604 T^{3} + 817401076447 T^{4} + 315460323103848 T^{5} + 450533646380420124 T^{6} + \)\(15\!\cdots\!72\)\( T^{7} + \)\(19\!\cdots\!87\)\( T^{8} + \)\(59\!\cdots\!76\)\( T^{9} + \)\(49\!\cdots\!90\)\( T^{10} + \)\(68\!\cdots\!64\)\( T^{11} + \)\(14\!\cdots\!61\)\( T^{12} )^{2} \))(\( ( 1 + 236 T + 845490 T^{2} + 495475604 T^{3} + 817401076447 T^{4} + 315460323103848 T^{5} + 450533646380420124 T^{6} + \)\(15\!\cdots\!72\)\( T^{7} + \)\(19\!\cdots\!87\)\( T^{8} + \)\(59\!\cdots\!76\)\( T^{9} + \)\(49\!\cdots\!90\)\( T^{10} + \)\(68\!\cdots\!64\)\( T^{11} + \)\(14\!\cdots\!61\)\( T^{12} )^{2} \))
$83$ (\( 1 - 660 T + 571787 T^{2} \))(\( 1 - 436 T + 571787 T^{2} \))(\( 1 - 156 T + 571787 T^{2} \))(\( 1 + 432 T + 571787 T^{2} \))(\( 1 + 768 T + 571787 T^{2} \))(\( 1 - 792 T + 571787 T^{2} \))(\( 1 - 768 T + 571787 T^{2} \))(\( 1 - 432 T + 571787 T^{2} \))(\( 1 + 448 T + 571787 T^{2} \))(\( 1 - 384 T + 571787 T^{2} \))(\( 1 + 966 T + 571787 T^{2} \))(\( 1 - 1212 T + 571787 T^{2} \))(\( 1 + 384 T + 571787 T^{2} \))(\( 1 - 966 T + 571787 T^{2} \))(\( 1 - 156 T + 571787 T^{2} \))(\( 1 + 792 T + 571787 T^{2} \))(\( 1 - 282 T + 571787 T^{2} \))(\( 1 - 324 T + 571787 T^{2} \))(\( 1 + 324 T + 571787 T^{2} \))(\( 1 + 660 T + 571787 T^{2} \))(\( 1 + 376 T + 458918 T^{2} + 214991912 T^{3} + 326940373369 T^{4} \))(\( 1 + 680 T + 744870 T^{2} + 388815160 T^{3} + 326940373369 T^{4} \))(\( 1 + 40 T + 703974 T^{2} + 22871480 T^{3} + 326940373369 T^{4} \))(\( 1 - 40 T + 703974 T^{2} - 22871480 T^{3} + 326940373369 T^{4} \))(\( 1 - 268 T + 779030 T^{2} - 153238916 T^{3} + 326940373369 T^{4} \))(\( 1 - 928 T + 600710 T^{2} - 530618336 T^{3} + 326940373369 T^{4} \))(\( 1 + 268 T + 779030 T^{2} + 153238916 T^{3} + 326940373369 T^{4} \))(\( 1 + 584 T + 1172390 T^{2} + 333923608 T^{3} + 326940373369 T^{4} \))(\( 1 - 968 T + 1357022 T^{2} - 553489816 T^{3} + 326940373369 T^{4} \))(\( 1 + 968 T + 1357022 T^{2} + 553489816 T^{3} + 326940373369 T^{4} \))(\( 1 - 608 T + 1200710 T^{2} - 347646496 T^{3} + 326940373369 T^{4} \))(\( 1 - 1906 T + 2051733 T^{2} - 1089826022 T^{3} + 326940373369 T^{4} \))(\( 1 + 1906 T + 2051733 T^{2} + 1089826022 T^{3} + 326940373369 T^{4} \))(\( 1 - 1136 T + 1169990 T^{2} - 649550032 T^{3} + 326940373369 T^{4} \))(\( 1 - 508 T + 1655669 T^{2} - 550491384 T^{3} + 946690010503 T^{4} - 166085709671452 T^{5} + 186940255267540403 T^{6} \))(\( 1 + 508 T + 1655669 T^{2} + 550491384 T^{3} + 946690010503 T^{4} + 166085709671452 T^{5} + 186940255267540403 T^{6} \))(\( 1 - 948 T + 1105441 T^{2} - 652600952 T^{3} + 632076793067 T^{4} - 309939473953812 T^{5} + 186940255267540403 T^{6} \))(\( 1 + 948 T + 1105441 T^{2} + 652600952 T^{3} + 632076793067 T^{4} + 309939473953812 T^{5} + 186940255267540403 T^{6} \))(\( 1 + 1660 T + 2204369 T^{2} + 1855605736 T^{3} + 1260429537403 T^{4} + 542721019792540 T^{5} + 186940255267540403 T^{6} \))(\( 1 - 1556 T + 1484188 T^{2} - 714791892 T^{3} + 375068565110 T^{4} - 408708711551004 T^{5} + 485240978869789372 T^{6} - \)\(29\!\cdots\!68\)\( T^{7} + \)\(10\!\cdots\!61\)\( T^{8} \))(\( 1 + 1556 T + 1484188 T^{2} + 714791892 T^{3} + 375068565110 T^{4} + 408708711551004 T^{5} + 485240978869789372 T^{6} + \)\(29\!\cdots\!68\)\( T^{7} + \)\(10\!\cdots\!61\)\( T^{8} \))(\( 1 + 1020 T + 1395008 T^{2} + 625261788 T^{3} + 739842275502 T^{4} + 357516561975156 T^{5} + 456084436372741952 T^{6} + \)\(19\!\cdots\!60\)\( T^{7} + \)\(10\!\cdots\!61\)\( T^{8} \))(\( 1 - 1020 T + 1395008 T^{2} - 625261788 T^{3} + 739842275502 T^{4} - 357516561975156 T^{5} + 456084436372741952 T^{6} - \)\(19\!\cdots\!60\)\( T^{7} + \)\(10\!\cdots\!61\)\( T^{8} \))(\( 1 - 332 T + 1330763 T^{2} - 251179960 T^{3} + 1196075575498 T^{4} - 287374399354632 T^{5} + 683900465087274926 T^{6} - 82120869905210485240 T^{7} + \)\(24\!\cdots\!89\)\( T^{8} - \)\(35\!\cdots\!52\)\( T^{9} + \)\(61\!\cdots\!07\)\( T^{10} \))(\( 1 + 332 T + 1330763 T^{2} + 251179960 T^{3} + 1196075575498 T^{4} + 287374399354632 T^{5} + 683900465087274926 T^{6} + 82120869905210485240 T^{7} + \)\(24\!\cdots\!89\)\( T^{8} + \)\(35\!\cdots\!52\)\( T^{9} + \)\(61\!\cdots\!07\)\( T^{10} \))(\( 1 + 1502 T + 2544639 T^{2} + 2916185966 T^{3} + 2925083074177 T^{4} + 2334912952153996 T^{5} + 1672524475734444299 T^{6} + \)\(95\!\cdots\!54\)\( T^{7} + \)\(47\!\cdots\!17\)\( T^{8} + \)\(16\!\cdots\!22\)\( T^{9} + \)\(61\!\cdots\!07\)\( T^{10} \))(\( 1 - 1502 T + 2544639 T^{2} - 2916185966 T^{3} + 2925083074177 T^{4} - 2334912952153996 T^{5} + 1672524475734444299 T^{6} - \)\(95\!\cdots\!54\)\( T^{7} + \)\(47\!\cdots\!17\)\( T^{8} - \)\(16\!\cdots\!22\)\( T^{9} + \)\(61\!\cdots\!07\)\( T^{10} \))(\( 1 + 840 T + 1394751 T^{2} + 1097470000 T^{3} + 1235101554942 T^{4} + 765253616219632 T^{5} + 706215012795621354 T^{6} + \)\(35\!\cdots\!00\)\( T^{7} + \)\(26\!\cdots\!53\)\( T^{8} + \)\(89\!\cdots\!40\)\( T^{9} + \)\(61\!\cdots\!07\)\( T^{10} \))(\( 1 - 840 T + 1394751 T^{2} - 1097470000 T^{3} + 1235101554942 T^{4} - 765253616219632 T^{5} + 706215012795621354 T^{6} - \)\(35\!\cdots\!00\)\( T^{7} + \)\(26\!\cdots\!53\)\( T^{8} - \)\(89\!\cdots\!40\)\( T^{9} + \)\(61\!\cdots\!07\)\( T^{10} \))(\( ( 1 + 1456 T + 1885361 T^{2} + 1479178144 T^{3} + 1078024910107 T^{4} + 476025183625264 T^{5} + 186940255267540403 T^{6} )^{2} \))(\( ( 1 - 1456 T + 1885361 T^{2} - 1479178144 T^{3} + 1078024910107 T^{4} - 476025183625264 T^{5} + 186940255267540403 T^{6} )^{2} \))(\( 1 - 140 T + 1262996 T^{2} + 466318380 T^{3} + 677854086191 T^{4} + 649780965410440 T^{5} + 346141233175430792 T^{6} + \)\(37\!\cdots\!80\)\( T^{7} + \)\(22\!\cdots\!79\)\( T^{8} + \)\(87\!\cdots\!40\)\( T^{9} + \)\(13\!\cdots\!56\)\( T^{10} - \)\(85\!\cdots\!80\)\( T^{11} + \)\(34\!\cdots\!09\)\( T^{12} \))(\( 1 + 140 T + 1262996 T^{2} - 466318380 T^{3} + 677854086191 T^{4} - 649780965410440 T^{5} + 346141233175430792 T^{6} - \)\(37\!\cdots\!80\)\( T^{7} + \)\(22\!\cdots\!79\)\( T^{8} - \)\(87\!\cdots\!40\)\( T^{9} + \)\(13\!\cdots\!56\)\( T^{10} + \)\(85\!\cdots\!80\)\( T^{11} + \)\(34\!\cdots\!09\)\( T^{12} \))(\( 1 - 572 T + 1663056 T^{2} - 556682464 T^{3} + 1679293434604 T^{4} - 438868371219952 T^{5} + 1294225245352393684 T^{6} - \)\(24\!\cdots\!56\)\( T^{7} + \)\(79\!\cdots\!38\)\( T^{8} - \)\(14\!\cdots\!72\)\( T^{9} + \)\(42\!\cdots\!96\)\( T^{10} - \)\(82\!\cdots\!56\)\( T^{11} + \)\(17\!\cdots\!44\)\( T^{12} - \)\(34\!\cdots\!48\)\( T^{13} + \)\(58\!\cdots\!04\)\( T^{14} - \)\(11\!\cdots\!76\)\( T^{15} + \)\(11\!\cdots\!21\)\( T^{16} \))(\( 1 + 572 T + 1663056 T^{2} + 556682464 T^{3} + 1679293434604 T^{4} + 438868371219952 T^{5} + 1294225245352393684 T^{6} + \)\(24\!\cdots\!56\)\( T^{7} + \)\(79\!\cdots\!38\)\( T^{8} + \)\(14\!\cdots\!72\)\( T^{9} + \)\(42\!\cdots\!96\)\( T^{10} + \)\(82\!\cdots\!56\)\( T^{11} + \)\(17\!\cdots\!44\)\( T^{12} + \)\(34\!\cdots\!48\)\( T^{13} + \)\(58\!\cdots\!04\)\( T^{14} + \)\(11\!\cdots\!76\)\( T^{15} + \)\(11\!\cdots\!21\)\( T^{16} \))(\( 1 + 700 T + 2996052 T^{2} + 1021731532 T^{3} + 3345834351236 T^{4} - 162544207477108 T^{5} + 1885944061820114892 T^{6} - \)\(10\!\cdots\!00\)\( T^{7} + \)\(87\!\cdots\!62\)\( T^{8} - \)\(58\!\cdots\!00\)\( T^{9} + \)\(61\!\cdots\!48\)\( T^{10} - \)\(30\!\cdots\!24\)\( T^{11} + \)\(35\!\cdots\!96\)\( T^{12} + \)\(62\!\cdots\!24\)\( T^{13} + \)\(10\!\cdots\!68\)\( T^{14} + \)\(13\!\cdots\!00\)\( T^{15} + \)\(11\!\cdots\!21\)\( T^{16} \))(\( 1 - 700 T + 2996052 T^{2} - 1021731532 T^{3} + 3345834351236 T^{4} + 162544207477108 T^{5} + 1885944061820114892 T^{6} + \)\(10\!\cdots\!00\)\( T^{7} + \)\(87\!\cdots\!62\)\( T^{8} + \)\(58\!\cdots\!00\)\( T^{9} + \)\(61\!\cdots\!48\)\( T^{10} + \)\(30\!\cdots\!24\)\( T^{11} + \)\(35\!\cdots\!96\)\( T^{12} - \)\(62\!\cdots\!24\)\( T^{13} + \)\(10\!\cdots\!68\)\( T^{14} - \)\(13\!\cdots\!00\)\( T^{15} + \)\(11\!\cdots\!21\)\( T^{16} \))(\( 1 - 572 T + 1663056 T^{2} - 556682464 T^{3} + 1679293434604 T^{4} - 438868371219952 T^{5} + 1294225245352393684 T^{6} - \)\(24\!\cdots\!56\)\( T^{7} + \)\(79\!\cdots\!38\)\( T^{8} - \)\(14\!\cdots\!72\)\( T^{9} + \)\(42\!\cdots\!96\)\( T^{10} - \)\(82\!\cdots\!56\)\( T^{11} + \)\(17\!\cdots\!44\)\( T^{12} - \)\(34\!\cdots\!48\)\( T^{13} + \)\(58\!\cdots\!04\)\( T^{14} - \)\(11\!\cdots\!76\)\( T^{15} + \)\(11\!\cdots\!21\)\( T^{16} \))(\( 1 + 572 T + 1663056 T^{2} + 556682464 T^{3} + 1679293434604 T^{4} + 438868371219952 T^{5} + 1294225245352393684 T^{6} + \)\(24\!\cdots\!56\)\( T^{7} + \)\(79\!\cdots\!38\)\( T^{8} + \)\(14\!\cdots\!72\)\( T^{9} + \)\(42\!\cdots\!96\)\( T^{10} + \)\(82\!\cdots\!56\)\( T^{11} + \)\(17\!\cdots\!44\)\( T^{12} + \)\(34\!\cdots\!48\)\( T^{13} + \)\(58\!\cdots\!04\)\( T^{14} + \)\(11\!\cdots\!76\)\( T^{15} + \)\(11\!\cdots\!21\)\( T^{16} \))(\( ( 1 - 2156 T + 4635242 T^{2} - 6176683428 T^{3} + 7583858760743 T^{4} - 7073594883069800 T^{5} + 6015724997055547916 T^{6} - \)\(40\!\cdots\!00\)\( T^{7} + \)\(24\!\cdots\!67\)\( T^{8} - \)\(11\!\cdots\!84\)\( T^{9} + \)\(49\!\cdots\!62\)\( T^{10} - \)\(13\!\cdots\!92\)\( T^{11} + \)\(34\!\cdots\!09\)\( T^{12} )^{2} \))(\( ( 1 + 2156 T + 4635242 T^{2} + 6176683428 T^{3} + 7583858760743 T^{4} + 7073594883069800 T^{5} + 6015724997055547916 T^{6} + \)\(40\!\cdots\!00\)\( T^{7} + \)\(24\!\cdots\!67\)\( T^{8} + \)\(11\!\cdots\!84\)\( T^{9} + \)\(49\!\cdots\!62\)\( T^{10} + \)\(13\!\cdots\!92\)\( T^{11} + \)\(34\!\cdots\!09\)\( T^{12} )^{2} \))
$89$ (\( 1 + 1500 T + 704969 T^{2} \))(\( 1 + 1038 T + 704969 T^{2} \))(\( 1 - 1026 T + 704969 T^{2} \))(\( 1 + 234 T + 704969 T^{2} \))(\( 1 - 1194 T + 704969 T^{2} \))(\( 1 - 1002 T + 704969 T^{2} \))(\( 1 + 1194 T + 704969 T^{2} \))(\( 1 - 234 T + 704969 T^{2} \))(\( 1 + 870 T + 704969 T^{2} \))(\( 1 + 246 T + 704969 T^{2} \))(\( 1 + 408 T + 704969 T^{2} \))(\( 1 - 330 T + 704969 T^{2} \))(\( 1 - 246 T + 704969 T^{2} \))(\( 1 - 408 T + 704969 T^{2} \))(\( 1 + 1038 T + 704969 T^{2} \))(\( 1 + 1002 T + 704969 T^{2} \))(\( 1 + 150 T + 704969 T^{2} \))(\( 1 - 1194 T + 704969 T^{2} \))(\( 1 + 1194 T + 704969 T^{2} \))(\( 1 - 1500 T + 704969 T^{2} \))(\( 1 + 216 T + 1417730 T^{2} + 152273304 T^{3} + 496981290961 T^{4} \))(\( 1 - 796 T + 411158 T^{2} - 561155324 T^{3} + 496981290961 T^{4} \))(\( 1 - 240 T - 164062 T^{2} - 169192560 T^{3} + 496981290961 T^{4} \))(\( 1 + 240 T - 164062 T^{2} + 169192560 T^{3} + 496981290961 T^{4} \))(\( 1 - 72 T + 448286 T^{2} - 50757768 T^{3} + 496981290961 T^{4} \))(\( 1 - 588 T + 1495334 T^{2} - 414521772 T^{3} + 496981290961 T^{4} \))(\( 1 + 72 T + 448286 T^{2} + 50757768 T^{3} + 496981290961 T^{4} \))(\( 1 + 1404 T + 1802390 T^{2} + 989776476 T^{3} + 496981290961 T^{4} \))(\( 1 - 204 T - 767890 T^{2} - 143813676 T^{3} + 496981290961 T^{4} \))(\( 1 + 204 T - 767890 T^{2} + 143813676 T^{3} + 496981290961 T^{4} \))(\( 1 + 1332 T + 1790774 T^{2} + 939018708 T^{3} + 496981290961 T^{4} \))(\( 1 + 650 T + 1305611 T^{2} + 458229850 T^{3} + 496981290961 T^{4} \))(\( 1 - 650 T + 1305611 T^{2} - 458229850 T^{3} + 496981290961 T^{4} \))(\( 1 - 36 T - 842170 T^{2} - 25378884 T^{3} + 496981290961 T^{4} \))(\( 1 + 42 T + 566539 T^{2} - 649223388 T^{3} + 399392432291 T^{4} + 20873214220362 T^{5} + 350356403707485209 T^{6} \))(\( 1 - 42 T + 566539 T^{2} + 649223388 T^{3} + 399392432291 T^{4} - 20873214220362 T^{5} + 350356403707485209 T^{6} \))(\( 1 + 142 T + 1874695 T^{2} + 219867172 T^{3} + 1321601859455 T^{4} + 70571343316462 T^{5} + 350356403707485209 T^{6} \))(\( 1 - 142 T + 1874695 T^{2} - 219867172 T^{3} + 1321601859455 T^{4} - 70571343316462 T^{5} + 350356403707485209 T^{6} \))(\( 1 - 242 T + 1427227 T^{2} - 347564516 T^{3} + 1006150790963 T^{4} - 120269472412562 T^{5} + 350356403707485209 T^{6} \))(\( 1 + 600 T + 1802556 T^{2} + 1014571176 T^{3} + 1804617205414 T^{4} + 715241227373544 T^{5} + 895836607909496316 T^{6} + \)\(21\!\cdots\!00\)\( T^{7} + \)\(24\!\cdots\!21\)\( T^{8} \))(\( 1 - 600 T + 1802556 T^{2} - 1014571176 T^{3} + 1804617205414 T^{4} - 715241227373544 T^{5} + 895836607909496316 T^{6} - \)\(21\!\cdots\!00\)\( T^{7} + \)\(24\!\cdots\!21\)\( T^{8} \))(\( 1 - 1192 T + 2268812 T^{2} - 2291741848 T^{3} + 2195524597702 T^{4} - 1615606958842712 T^{5} + 1127557116707808332 T^{6} - \)\(41\!\cdots\!28\)\( T^{7} + \)\(24\!\cdots\!21\)\( T^{8} \))(\( 1 + 1192 T + 2268812 T^{2} + 2291741848 T^{3} + 2195524597702 T^{4} + 1615606958842712 T^{5} + 1127557116707808332 T^{6} + \)\(41\!\cdots\!28\)\( T^{7} + \)\(24\!\cdots\!21\)\( T^{8} \))(\( 1 + 894 T + 2300489 T^{2} + 1630210296 T^{3} + 2617265406586 T^{4} + 1418308431104796 T^{5} + 1845090976415525834 T^{6} + \)\(81\!\cdots\!56\)\( T^{7} + \)\(80\!\cdots\!01\)\( T^{8} + \)\(22\!\cdots\!74\)\( T^{9} + \)\(17\!\cdots\!49\)\( T^{10} \))(\( 1 - 894 T + 2300489 T^{2} - 1630210296 T^{3} + 2617265406586 T^{4} - 1418308431104796 T^{5} + 1845090976415525834 T^{6} - \)\(81\!\cdots\!56\)\( T^{7} + \)\(80\!\cdots\!01\)\( T^{8} - \)\(22\!\cdots\!74\)\( T^{9} + \)\(17\!\cdots\!49\)\( T^{10} \))(\( 1 - 2322 T + 4506131 T^{2} - 5245245480 T^{3} + 5789036849341 T^{4} - 4794661589543922 T^{5} + 4081091518643075429 T^{6} - \)\(26\!\cdots\!80\)\( T^{7} + \)\(15\!\cdots\!79\)\( T^{8} - \)\(57\!\cdots\!62\)\( T^{9} + \)\(17\!\cdots\!49\)\( T^{10} \))(\( 1 + 2322 T + 4506131 T^{2} + 5245245480 T^{3} + 5789036849341 T^{4} + 4794661589543922 T^{5} + 4081091518643075429 T^{6} + \)\(26\!\cdots\!80\)\( T^{7} + \)\(15\!\cdots\!79\)\( T^{8} + \)\(57\!\cdots\!62\)\( T^{9} + \)\(17\!\cdots\!49\)\( T^{10} \))(\( 1 + 2978 T + 6676869 T^{2} + 9763080024 T^{3} + 11814055760174 T^{4} + 10792076634238148 T^{5} + 8328543075194104606 T^{6} + \)\(48\!\cdots\!64\)\( T^{7} + \)\(23\!\cdots\!21\)\( T^{8} + \)\(73\!\cdots\!38\)\( T^{9} + \)\(17\!\cdots\!49\)\( T^{10} \))(\( 1 - 2978 T + 6676869 T^{2} - 9763080024 T^{3} + 11814055760174 T^{4} - 10792076634238148 T^{5} + 8328543075194104606 T^{6} - \)\(48\!\cdots\!64\)\( T^{7} + \)\(23\!\cdots\!21\)\( T^{8} - \)\(73\!\cdots\!38\)\( T^{9} + \)\(17\!\cdots\!49\)\( T^{10} \))(\( ( 1 + 186 T + 1188007 T^{2} + 166563468 T^{3} + 837508106783 T^{4} + 92438520118746 T^{5} + 350356403707485209 T^{6} )^{2} \))(\( ( 1 - 186 T + 1188007 T^{2} - 166563468 T^{3} + 837508106783 T^{4} - 92438520118746 T^{5} + 350356403707485209 T^{6} )^{2} \))(\( 1 + 1904 T + 3824692 T^{2} + 4929406096 T^{3} + 6160110405943 T^{4} + 5994022973389568 T^{5} + 5629689575835156904 T^{6} + \)\(42\!\cdots\!92\)\( T^{7} + \)\(30\!\cdots\!23\)\( T^{8} + \)\(17\!\cdots\!64\)\( T^{9} + \)\(94\!\cdots\!32\)\( T^{10} + \)\(33\!\cdots\!96\)\( T^{11} + \)\(12\!\cdots\!81\)\( T^{12} \))(\( 1 - 1904 T + 3824692 T^{2} - 4929406096 T^{3} + 6160110405943 T^{4} - 5994022973389568 T^{5} + 5629689575835156904 T^{6} - \)\(42\!\cdots\!92\)\( T^{7} + \)\(30\!\cdots\!23\)\( T^{8} - \)\(17\!\cdots\!64\)\( T^{9} + \)\(94\!\cdots\!32\)\( T^{10} - \)\(33\!\cdots\!96\)\( T^{11} + \)\(12\!\cdots\!81\)\( T^{12} \))(\( 1 - 940 T + 4540092 T^{2} - 2997450144 T^{3} + 8629347245672 T^{4} - 3977168220395032 T^{5} + 9651110936965214904 T^{6} - \)\(32\!\cdots\!36\)\( T^{7} + \)\(77\!\cdots\!02\)\( T^{8} - \)\(23\!\cdots\!84\)\( T^{9} + \)\(47\!\cdots\!44\)\( T^{10} - \)\(13\!\cdots\!88\)\( T^{11} + \)\(21\!\cdots\!12\)\( T^{12} - \)\(52\!\cdots\!56\)\( T^{13} + \)\(55\!\cdots\!52\)\( T^{14} - \)\(81\!\cdots\!60\)\( T^{15} + \)\(61\!\cdots\!41\)\( T^{16} \))(\( 1 + 940 T + 4540092 T^{2} + 2997450144 T^{3} + 8629347245672 T^{4} + 3977168220395032 T^{5} + 9651110936965214904 T^{6} + \)\(32\!\cdots\!36\)\( T^{7} + \)\(77\!\cdots\!02\)\( T^{8} + \)\(23\!\cdots\!84\)\( T^{9} + \)\(47\!\cdots\!44\)\( T^{10} + \)\(13\!\cdots\!88\)\( T^{11} + \)\(21\!\cdots\!12\)\( T^{12} + \)\(52\!\cdots\!56\)\( T^{13} + \)\(55\!\cdots\!52\)\( T^{14} + \)\(81\!\cdots\!60\)\( T^{15} + \)\(61\!\cdots\!41\)\( T^{16} \))(\( 1 + 3503672 T^{2} + 205045376 T^{3} + 5595436600668 T^{4} + 628434573703296 T^{5} + 5665035639598399496 T^{6} + \)\(82\!\cdots\!60\)\( T^{7} + \)\(43\!\cdots\!74\)\( T^{8} + \)\(58\!\cdots\!40\)\( T^{9} + \)\(28\!\cdots\!56\)\( T^{10} + \)\(22\!\cdots\!64\)\( T^{11} + \)\(13\!\cdots\!28\)\( T^{12} + \)\(35\!\cdots\!24\)\( T^{13} + \)\(43\!\cdots\!32\)\( T^{14} + \)\(61\!\cdots\!41\)\( T^{16} \))(\( 1 + 3503672 T^{2} - 205045376 T^{3} + 5595436600668 T^{4} - 628434573703296 T^{5} + 5665035639598399496 T^{6} - \)\(82\!\cdots\!60\)\( T^{7} + \)\(43\!\cdots\!74\)\( T^{8} - \)\(58\!\cdots\!40\)\( T^{9} + \)\(28\!\cdots\!56\)\( T^{10} - \)\(22\!\cdots\!64\)\( T^{11} + \)\(13\!\cdots\!28\)\( T^{12} - \)\(35\!\cdots\!24\)\( T^{13} + \)\(43\!\cdots\!32\)\( T^{14} + \)\(61\!\cdots\!41\)\( T^{16} \))(\( 1 - 940 T + 4540092 T^{2} - 2997450144 T^{3} + 8629347245672 T^{4} - 3977168220395032 T^{5} + 9651110936965214904 T^{6} - \)\(32\!\cdots\!36\)\( T^{7} + \)\(77\!\cdots\!02\)\( T^{8} - \)\(23\!\cdots\!84\)\( T^{9} + \)\(47\!\cdots\!44\)\( T^{10} - \)\(13\!\cdots\!88\)\( T^{11} + \)\(21\!\cdots\!12\)\( T^{12} - \)\(52\!\cdots\!56\)\( T^{13} + \)\(55\!\cdots\!52\)\( T^{14} - \)\(81\!\cdots\!60\)\( T^{15} + \)\(61\!\cdots\!41\)\( T^{16} \))(\( 1 + 940 T + 4540092 T^{2} + 2997450144 T^{3} + 8629347245672 T^{4} + 3977168220395032 T^{5} + 9651110936965214904 T^{6} + \)\(32\!\cdots\!36\)\( T^{7} + \)\(77\!\cdots\!02\)\( T^{8} + \)\(23\!\cdots\!84\)\( T^{9} + \)\(47\!\cdots\!44\)\( T^{10} + \)\(13\!\cdots\!88\)\( T^{11} + \)\(21\!\cdots\!12\)\( T^{12} + \)\(52\!\cdots\!56\)\( T^{13} + \)\(55\!\cdots\!52\)\( T^{14} + \)\(81\!\cdots\!60\)\( T^{15} + \)\(61\!\cdots\!41\)\( T^{16} \))(\( ( 1 - 2020 T + 3372298 T^{2} - 2501554100 T^{3} + 1246179041599 T^{4} + 913184302657400 T^{5} - 1018404360842415476 T^{6} + \)\(64\!\cdots\!00\)\( T^{7} + \)\(61\!\cdots\!39\)\( T^{8} - \)\(87\!\cdots\!00\)\( T^{9} + \)\(83\!\cdots\!58\)\( T^{10} - \)\(35\!\cdots\!80\)\( T^{11} + \)\(12\!\cdots\!81\)\( T^{12} )^{2} \))(\( ( 1 + 2020 T + 3372298 T^{2} + 2501554100 T^{3} + 1246179041599 T^{4} - 913184302657400 T^{5} - 1018404360842415476 T^{6} - \)\(64\!\cdots\!00\)\( T^{7} + \)\(61\!\cdots\!39\)\( T^{8} + \)\(87\!\cdots\!00\)\( T^{9} + \)\(83\!\cdots\!58\)\( T^{10} + \)\(35\!\cdots\!80\)\( T^{11} + \)\(12\!\cdots\!81\)\( T^{12} )^{2} \))
$97$ (\( 1 - 1630 T + 912673 T^{2} \))(\( 1 - 702 T + 912673 T^{2} \))(\( 1 - 286 T + 912673 T^{2} \))(\( 1 + 1352 T + 912673 T^{2} \))(\( 1 - 902 T + 912673 T^{2} \))(\( 1 + 1442 T + 912673 T^{2} \))(\( 1 + 902 T + 912673 T^{2} \))(\( 1 - 1352 T + 912673 T^{2} \))(\( 1 + 1026 T + 912673 T^{2} \))(\( 1 + 1122 T + 912673 T^{2} \))(\( 1 - 1200 T + 912673 T^{2} \))(\( 1 + 866 T + 912673 T^{2} \))(\( 1 - 1122 T + 912673 T^{2} \))(\( 1 + 1200 T + 912673 T^{2} \))(\( 1 + 1208 T + 912673 T^{2} \))(\( 1 + 1442 T + 912673 T^{2} \))(\( 1 + 386 T + 912673 T^{2} \))(\( 1 - 1728 T + 912673 T^{2} \))(\( 1 + 1728 T + 912673 T^{2} \))(\( 1 - 1630 T + 912673 T^{2} \))(\( 1 + 2742 T + 3608187 T^{2} + 2502549366 T^{3} + 832972004929 T^{4} \))(\( 1 - 670 T + 1145410 T^{2} - 611490910 T^{3} + 832972004929 T^{4} \))(\( 1 - 1630 T + 2133171 T^{2} - 1487656990 T^{3} + 832972004929 T^{4} \))(\( 1 + 1630 T + 2133171 T^{2} + 1487656990 T^{3} + 832972004929 T^{4} \))(\( 1 + 1626 T + 1498938 T^{2} + 1484006298 T^{3} + 832972004929 T^{4} \))(\( 1 + 522 T + 291282 T^{2} + 476415306 T^{3} + 832972004929 T^{4} \))(\( 1 + 1626 T + 1498938 T^{2} + 1484006298 T^{3} + 832972004929 T^{4} \))(\( 1 - 1188 T + 2161254 T^{2} - 1084255524 T^{3} + 832972004929 T^{4} \))(\( 1 + 1692 T + 1457670 T^{2} + 1544242716 T^{3} + 832972004929 T^{4} \))(\( 1 - 1692 T + 1457670 T^{2} - 1544242716 T^{3} + 832972004929 T^{4} \))(\( 1 - 2448 T + 3286542 T^{2} - 2234223504 T^{3} + 832972004929 T^{4} \))(\( 1 + 628 T + 1423942 T^{2} + 573158644 T^{3} + 832972004929 T^{4} \))(\( 1 - 628 T + 1423942 T^{2} - 573158644 T^{3} + 832972004929 T^{4} \))(\( 1 - 498 T + 1796754 T^{2} - 454511154 T^{3} + 832972004929 T^{4} \))(\( 1 + 1020 T + 828679 T^{2} - 17707848 T^{3} + 756312948967 T^{4} + 849631445027580 T^{5} + 760231058654565217 T^{6} \))(\( 1 - 1020 T + 828679 T^{2} + 17707848 T^{3} + 756312948967 T^{4} - 849631445027580 T^{5} + 760231058654565217 T^{6} \))(\( 1 - 3052 T + 5048255 T^{2} - 5775117464 T^{3} + 4607406035615 T^{4} - 2542230559043308 T^{5} + 760231058654565217 T^{6} \))(\( 1 - 3052 T + 5048255 T^{2} - 5775117464 T^{3} + 4607406035615 T^{4} - 2542230559043308 T^{5} + 760231058654565217 T^{6} \))(\( 1 + 100 T + 2266056 T^{2} + 184512618 T^{3} + 2068168127688 T^{4} + 83297200492900 T^{5} + 760231058654565217 T^{6} \))(\( 1 + 238 T + 1341536 T^{2} + 809130498 T^{3} + 1674460310750 T^{4} + 738471559001154 T^{5} + 1117461931604430944 T^{6} + \)\(18\!\cdots\!46\)\( T^{7} + \)\(69\!\cdots\!41\)\( T^{8} \))(\( 1 - 238 T + 1341536 T^{2} - 809130498 T^{3} + 1674460310750 T^{4} - 738471559001154 T^{5} + 1117461931604430944 T^{6} - \)\(18\!\cdots\!46\)\( T^{7} + \)\(69\!\cdots\!41\)\( T^{8} \))(\( 1 + 588 T + 3165904 T^{2} + 1441030788 T^{3} + 4185150077790 T^{4} + 1315189892376324 T^{5} + 2637109402292740816 T^{6} + \)\(44\!\cdots\!96\)\( T^{7} + \)\(69\!\cdots\!41\)\( T^{8} \))(\( 1 - 588 T + 3165904 T^{2} - 1441030788 T^{3} + 4185150077790 T^{4} - 1315189892376324 T^{5} + 2637109402292740816 T^{6} - \)\(44\!\cdots\!96\)\( T^{7} + \)\(69\!\cdots\!41\)\( T^{8} \))(\( 1 + 576 T + 2417013 T^{2} + 1510894720 T^{3} + 3259586132218 T^{4} + 2005403804499072 T^{5} + 2974936254049798714 T^{6} + \)\(12\!\cdots\!80\)\( T^{7} + \)\(18\!\cdots\!21\)\( T^{8} + \)\(39\!\cdots\!16\)\( T^{9} + \)\(63\!\cdots\!93\)\( T^{10} \))(\( 1 - 576 T + 2417013 T^{2} - 1510894720 T^{3} + 3259586132218 T^{4} - 2005403804499072 T^{5} + 2974936254049798714 T^{6} - \)\(12\!\cdots\!80\)\( T^{7} + \)\(18\!\cdots\!21\)\( T^{8} - \)\(39\!\cdots\!16\)\( T^{9} + \)\(63\!\cdots\!93\)\( T^{10} \))(\( 1 + 598 T + 4425037 T^{2} + 2054168072 T^{3} + 7929732195026 T^{4} + 2752469564393540 T^{5} + 7237252471630964498 T^{6} + \)\(17\!\cdots\!88\)\( T^{7} + \)\(33\!\cdots\!29\)\( T^{8} + \)\(41\!\cdots\!18\)\( T^{9} + \)\(63\!\cdots\!93\)\( T^{10} \))(\( 1 - 598 T + 4425037 T^{2} - 2054168072 T^{3} + 7929732195026 T^{4} - 2752469564393540 T^{5} + 7237252471630964498 T^{6} - \)\(17\!\cdots\!88\)\( T^{7} + \)\(33\!\cdots\!29\)\( T^{8} - \)\(41\!\cdots\!18\)\( T^{9} + \)\(63\!\cdots\!93\)\( T^{10} \))(\( 1 - 2168 T + 2916885 T^{2} - 2446774560 T^{3} + 2052444429082 T^{4} - 1555642076834128 T^{5} + 1873210614423556186 T^{6} - \)\(20\!\cdots\!40\)\( T^{7} + \)\(22\!\cdots\!45\)\( T^{8} - \)\(15\!\cdots\!88\)\( T^{9} + \)\(63\!\cdots\!93\)\( T^{10} \))(\( 1 + 2168 T + 2916885 T^{2} + 2446774560 T^{3} + 2052444429082 T^{4} + 1555642076834128 T^{5} + 1873210614423556186 T^{6} + \)\(20\!\cdots\!40\)\( T^{7} + \)\(22\!\cdots\!45\)\( T^{8} + \)\(15\!\cdots\!88\)\( T^{9} + \)\(63\!\cdots\!93\)\( T^{10} \))(\( 1 + 3688174 T^{2} + 6610702894847 T^{4} + 7408695484892503204 T^{6} + \)\(55\!\cdots\!63\)\( T^{8} + \)\(25\!\cdots\!34\)\( T^{10} + \)\(57\!\cdots\!89\)\( T^{12} \))(\( 1 + 3688174 T^{2} + 6610702894847 T^{4} + 7408695484892503204 T^{6} + \)\(55\!\cdots\!63\)\( T^{8} + \)\(25\!\cdots\!34\)\( T^{10} + \)\(57\!\cdots\!89\)\( T^{12} \))(\( 1 + 516 T + 3952326 T^{2} + 925377376 T^{3} + 6580438313612 T^{4} + 355370807466588 T^{5} + 6947174177634861996 T^{6} + \)\(32\!\cdots\!24\)\( T^{7} + \)\(54\!\cdots\!48\)\( T^{8} + \)\(70\!\cdots\!92\)\( T^{9} + \)\(27\!\cdots\!66\)\( T^{10} + \)\(32\!\cdots\!88\)\( T^{11} + \)\(57\!\cdots\!89\)\( T^{12} \))(\( 1 - 516 T + 3952326 T^{2} - 925377376 T^{3} + 6580438313612 T^{4} - 355370807466588 T^{5} + 6947174177634861996 T^{6} - \)\(32\!\cdots\!24\)\( T^{7} + \)\(54\!\cdots\!48\)\( T^{8} - \)\(70\!\cdots\!92\)\( T^{9} + \)\(27\!\cdots\!66\)\( T^{10} - \)\(32\!\cdots\!88\)\( T^{11} + \)\(57\!\cdots\!89\)\( T^{12} \))(\( 1 - 1720 T + 6280496 T^{2} - 8144461824 T^{3} + 17321657778316 T^{4} - 18179360064462544 T^{5} + 28729360926077794080 T^{6} - \)\(25\!\cdots\!52\)\( T^{7} + \)\(31\!\cdots\!46\)\( T^{8} - \)\(22\!\cdots\!96\)\( T^{9} + \)\(23\!\cdots\!20\)\( T^{10} - \)\(13\!\cdots\!48\)\( T^{11} + \)\(12\!\cdots\!56\)\( T^{12} - \)\(51\!\cdots\!32\)\( T^{13} + \)\(36\!\cdots\!44\)\( T^{14} - \)\(90\!\cdots\!40\)\( T^{15} + \)\(48\!\cdots\!81\)\( T^{16} \))(\( 1 + 1720 T + 6280496 T^{2} + 8144461824 T^{3} + 17321657778316 T^{4} + 18179360064462544 T^{5} + 28729360926077794080 T^{6} + \)\(25\!\cdots\!52\)\( T^{7} + \)\(31\!\cdots\!46\)\( T^{8} + \)\(22\!\cdots\!96\)\( T^{9} + \)\(23\!\cdots\!20\)\( T^{10} + \)\(13\!\cdots\!48\)\( T^{11} + \)\(12\!\cdots\!56\)\( T^{12} + \)\(51\!\cdots\!32\)\( T^{13} + \)\(36\!\cdots\!44\)\( T^{14} + \)\(90\!\cdots\!40\)\( T^{15} + \)\(48\!\cdots\!81\)\( T^{16} \))(\( 1 + 2052 T + 5422028 T^{2} + 7002145820 T^{3} + 9892209696420 T^{4} + 8122604613650452 T^{5} + 7933780793513813428 T^{6} + \)\(40\!\cdots\!28\)\( T^{7} + \)\(48\!\cdots\!50\)\( T^{8} + \)\(36\!\cdots\!44\)\( T^{9} + \)\(66\!\cdots\!12\)\( T^{10} + \)\(61\!\cdots\!84\)\( T^{11} + \)\(68\!\cdots\!20\)\( T^{12} + \)\(44\!\cdots\!60\)\( T^{13} + \)\(31\!\cdots\!92\)\( T^{14} + \)\(10\!\cdots\!44\)\( T^{15} + \)\(48\!\cdots\!81\)\( T^{16} \))(\( 1 - 2052 T + 5422028 T^{2} - 7002145820 T^{3} + 9892209696420 T^{4} - 8122604613650452 T^{5} + 7933780793513813428 T^{6} - \)\(40\!\cdots\!28\)\( T^{7} + \)\(48\!\cdots\!50\)\( T^{8} - \)\(36\!\cdots\!44\)\( T^{9} + \)\(66\!\cdots\!12\)\( T^{10} - \)\(61\!\cdots\!84\)\( T^{11} + \)\(68\!\cdots\!20\)\( T^{12} - \)\(44\!\cdots\!60\)\( T^{13} + \)\(31\!\cdots\!92\)\( T^{14} - \)\(10\!\cdots\!44\)\( T^{15} + \)\(48\!\cdots\!81\)\( T^{16} \))(\( 1 + 1720 T + 6280496 T^{2} + 8144461824 T^{3} + 17321657778316 T^{4} + 18179360064462544 T^{5} + 28729360926077794080 T^{6} + \)\(25\!\cdots\!52\)\( T^{7} + \)\(31\!\cdots\!46\)\( T^{8} + \)\(22\!\cdots\!96\)\( T^{9} + \)\(23\!\cdots\!20\)\( T^{10} + \)\(13\!\cdots\!48\)\( T^{11} + \)\(12\!\cdots\!56\)\( T^{12} + \)\(51\!\cdots\!32\)\( T^{13} + \)\(36\!\cdots\!44\)\( T^{14} + \)\(90\!\cdots\!40\)\( T^{15} + \)\(48\!\cdots\!81\)\( T^{16} \))(\( 1 - 1720 T + 6280496 T^{2} - 8144461824 T^{3} + 17321657778316 T^{4} - 18179360064462544 T^{5} + 28729360926077794080 T^{6} - \)\(25\!\cdots\!52\)\( T^{7} + \)\(31\!\cdots\!46\)\( T^{8} - \)\(22\!\cdots\!96\)\( T^{9} + \)\(23\!\cdots\!20\)\( T^{10} - \)\(13\!\cdots\!48\)\( T^{11} + \)\(12\!\cdots\!56\)\( T^{12} - \)\(51\!\cdots\!32\)\( T^{13} + \)\(36\!\cdots\!44\)\( T^{14} - \)\(90\!\cdots\!40\)\( T^{15} + \)\(48\!\cdots\!81\)\( T^{16} \))(\( 1 + 4841196 T^{2} + 12013916458018 T^{4} + 21422365506991996604 T^{6} + \)\(30\!\cdots\!91\)\( T^{8} + \)\(36\!\cdots\!72\)\( T^{10} + \)\(35\!\cdots\!72\)\( T^{12} + \)\(30\!\cdots\!88\)\( T^{14} + \)\(21\!\cdots\!31\)\( T^{16} + \)\(12\!\cdots\!56\)\( T^{18} + \)\(57\!\cdots\!58\)\( T^{20} + \)\(19\!\cdots\!04\)\( T^{22} + \)\(33\!\cdots\!21\)\( T^{24} \))(\( 1 + 4841196 T^{2} + 12013916458018 T^{4} + 21422365506991996604 T^{6} + \)\(30\!\cdots\!91\)\( T^{8} + \)\(36\!\cdots\!72\)\( T^{10} + \)\(35\!\cdots\!72\)\( T^{12} + \)\(30\!\cdots\!88\)\( T^{14} + \)\(21\!\cdots\!31\)\( T^{16} + \)\(12\!\cdots\!56\)\( T^{18} + \)\(57\!\cdots\!58\)\( T^{20} + \)\(19\!\cdots\!04\)\( T^{22} + \)\(33\!\cdots\!21\)\( T^{24} \))
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