Properties

Label 432.6
Level 432
Weight 6
Dimension 11448
Nonzero newspaces 12
Sturm bound 62208
Trace bound 10

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Defining parameters

Level: \( N \) = \( 432\( 432 = 2^{4} \cdot 3^{3} \) \)
Weight: \( k \) = \( 6 \)
Nonzero newspaces: \( 12 \)
Sturm bound: \(62208\)
Trace bound: \(10\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{6}(\Gamma_1(432))\).

Total New Old
Modular forms 26340 11592 14748
Cusp forms 25500 11448 14052
Eisenstein series 840 144 696

Trace form

\( 11448q - 16q^{2} - 18q^{3} - 28q^{4} - 21q^{5} - 24q^{6} + 41q^{7} - 16q^{8} - 6q^{9} + O(q^{10}) \) \( 11448q - 16q^{2} - 18q^{3} - 28q^{4} - 21q^{5} - 24q^{6} + 41q^{7} - 16q^{8} - 6q^{9} - 28q^{10} - 737q^{11} - 24q^{12} - 151q^{13} + 112q^{14} - 18q^{15} + 2412q^{16} - 1035q^{17} - 24q^{18} - 2819q^{19} - 1668q^{20} - 30q^{21} + 10028q^{22} + 3167q^{23} - 24q^{24} + 8574q^{25} + 1744q^{26} - 6480q^{27} - 16648q^{28} - 55741q^{29} - 24q^{30} - 9563q^{31} - 3836q^{32} + 16962q^{33} + 27612q^{34} + 92233q^{35} - 24q^{36} + 31153q^{37} + 34396q^{38} - 3438q^{39} + 60100q^{40} - 63849q^{41} - 24q^{42} - 49223q^{43} - 36492q^{44} - 35430q^{45} - 63612q^{46} + 173819q^{47} - 24q^{48} + 35136q^{49} - 63900q^{50} - 747q^{51} + 18244q^{52} - 24q^{53} - 24q^{54} - 151550q^{55} - 179716q^{56} - 194853q^{57} - 63676q^{58} - 62669q^{59} + 424656q^{60} + 294057q^{61} + 873848q^{62} + 120912q^{63} + 209564q^{64} + 257537q^{65} - 5604q^{66} - 34739q^{67} - 750052q^{68} - 379134q^{69} - 900700q^{70} - 235427q^{71} - 834816q^{72} - 168519q^{73} - 996536q^{74} - 95820q^{75} - 134620q^{76} + 225609q^{77} + 465012q^{78} - 16559q^{79} + 1846884q^{80} + 742890q^{81} + 856368q^{82} + 534467q^{83} + 920148q^{84} - 14225q^{85} + 366716q^{86} - 113220q^{87} - 846404q^{88} - 1474623q^{89} - 708612q^{90} - 96673q^{91} - 456556q^{92} + 548538q^{93} - 410412q^{94} + 569395q^{95} - 24q^{96} - 92871q^{97} - 411568q^{98} + 551970q^{99} + O(q^{100}) \)

Decomposition of \(S_{6}^{\mathrm{new}}(\Gamma_1(432))\)

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
432.6.a \(\chi_{432}(1, \cdot)\) 432.6.a.a 1 1
432.6.a.b 1
432.6.a.c 1
432.6.a.d 1
432.6.a.e 1
432.6.a.f 1
432.6.a.g 1
432.6.a.h 1
432.6.a.i 1
432.6.a.j 1
432.6.a.k 2
432.6.a.l 2
432.6.a.m 2
432.6.a.n 2
432.6.a.o 2
432.6.a.p 2
432.6.a.q 2
432.6.a.r 2
432.6.a.s 2
432.6.a.t 2
432.6.a.u 2
432.6.a.v 2
432.6.a.w 3
432.6.a.x 3
432.6.c \(\chi_{432}(431, \cdot)\) 432.6.c.a 2 1
432.6.c.b 2
432.6.c.c 4
432.6.c.d 4
432.6.c.e 8
432.6.c.f 8
432.6.c.g 12
432.6.d \(\chi_{432}(217, \cdot)\) None 0 1
432.6.f \(\chi_{432}(215, \cdot)\) None 0 1
432.6.i \(\chi_{432}(145, \cdot)\) 432.6.i.a 4 2
432.6.i.b 6
432.6.i.c 8
432.6.i.d 10
432.6.i.e 14
432.6.i.f 16
432.6.k \(\chi_{432}(109, \cdot)\) n/a 320 2
432.6.l \(\chi_{432}(107, \cdot)\) n/a 320 2
432.6.p \(\chi_{432}(71, \cdot)\) None 0 2
432.6.r \(\chi_{432}(73, \cdot)\) None 0 2
432.6.s \(\chi_{432}(143, \cdot)\) 432.6.s.a 20 2
432.6.s.b 20
432.6.s.c 20
432.6.u \(\chi_{432}(49, \cdot)\) n/a 534 6
432.6.v \(\chi_{432}(35, \cdot)\) n/a 472 4
432.6.y \(\chi_{432}(37, \cdot)\) n/a 472 4
432.6.bb \(\chi_{432}(25, \cdot)\) None 0 6
432.6.bd \(\chi_{432}(23, \cdot)\) None 0 6
432.6.be \(\chi_{432}(47, \cdot)\) n/a 540 6
432.6.bg \(\chi_{432}(13, \cdot)\) n/a 4296 12
432.6.bj \(\chi_{432}(11, \cdot)\) n/a 4296 12

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

Decomposition of \(S_{6}^{\mathrm{old}}(\Gamma_1(432))\) into lower level spaces

\( S_{6}^{\mathrm{old}}(\Gamma_1(432)) \cong \) \(S_{6}^{\mathrm{new}}(\Gamma_1(3))\)\(^{\oplus 15}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(4))\)\(^{\oplus 12}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(6))\)\(^{\oplus 12}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(8))\)\(^{\oplus 8}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(9))\)\(^{\oplus 10}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(12))\)\(^{\oplus 9}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(16))\)\(^{\oplus 4}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(18))\)\(^{\oplus 8}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(24))\)\(^{\oplus 6}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(27))\)\(^{\oplus 5}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(36))\)\(^{\oplus 6}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(48))\)\(^{\oplus 3}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(54))\)\(^{\oplus 4}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(72))\)\(^{\oplus 4}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(108))\)\(^{\oplus 3}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(144))\)\(^{\oplus 2}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(216))\)\(^{\oplus 2}\)

Hecke characteristic polynomials

$p$ $F_p(T)$
$2$ 1
$3$ 1
$5$ (\( 1 + 84 T + 3125 T^{2} \))(\( 1 + 33 T + 3125 T^{2} \))(\( 1 + 29 T + 3125 T^{2} \))(\( 1 + 24 T + 3125 T^{2} \))(\( 1 + 3125 T^{2} \))(\( 1 + 3125 T^{2} \))(\( 1 - 24 T + 3125 T^{2} \))(\( 1 - 29 T + 3125 T^{2} \))(\( 1 - 33 T + 3125 T^{2} \))(\( 1 - 84 T + 3125 T^{2} \))(\( 1 + 72 T + 3721 T^{2} + 225000 T^{3} + 9765625 T^{4} \))(\( 1 + 38 T - 49 T^{2} + 118750 T^{3} + 9765625 T^{4} \))(\( 1 + 28 T + 3386 T^{2} + 87500 T^{3} + 9765625 T^{4} \))(\( 1 + 20 T + 4469 T^{2} + 62500 T^{3} + 9765625 T^{4} \))(\( 1 + 2794 T^{2} + 9765625 T^{4} \))(\( 1 - 1526 T^{2} + 9765625 T^{4} \))(\( 1 + 2929 T^{2} + 9765625 T^{4} \))(\( 1 + 2929 T^{2} + 9765625 T^{4} \))(\( 1 - 20 T + 4469 T^{2} - 62500 T^{3} + 9765625 T^{4} \))(\( 1 - 28 T + 3386 T^{2} - 87500 T^{3} + 9765625 T^{4} \))(\( 1 - 38 T - 49 T^{2} - 118750 T^{3} + 9765625 T^{4} \))(\( 1 - 72 T + 3721 T^{2} - 225000 T^{3} + 9765625 T^{4} \))(\( 1 + 36 T + 3279 T^{2} + 335144 T^{3} + 10246875 T^{4} + 351562500 T^{5} + 30517578125 T^{6} \))(\( 1 - 36 T + 3279 T^{2} - 335144 T^{3} + 10246875 T^{4} - 351562500 T^{5} + 30517578125 T^{6} \))(\( ( 1 - 3125 T^{2} )^{2} \))(\( ( 1 - 3125 T^{2} )^{2} \))(\( ( 1 - 634 T^{2} + 9765625 T^{4} )^{2} \))(\( ( 1 - 1354 T^{2} + 9765625 T^{4} )^{2} \))(\( ( 1 - 6308 T^{2} + 20018166 T^{4} - 61601562500 T^{6} + 95367431640625 T^{8} )^{2} \))(\( ( 1 - 4058 T^{2} + 8193291 T^{4} - 39628906250 T^{6} + 95367431640625 T^{8} )^{2} \))(\( ( 1 - 7419 T^{2} + 24690174 T^{4} - 61098024031 T^{6} + 241114980468750 T^{8} - 707530975341796875 T^{10} + \)\(93\!\cdots\!25\)\( T^{12} )^{2} \))(\( 1 - 54 T - 3199 T^{2} + 7290 T^{3} + 18515100 T^{4} + 22781250 T^{5} - 31240234375 T^{6} - 1647949218750 T^{7} + 95367431640625 T^{8} \))(\( 1 - 54 T - 1788 T^{2} - 10584 T^{3} + 854952 T^{4} + 487704186 T^{5} - 21775421594 T^{6} + 1524075581250 T^{7} + 8349140625000 T^{8} - 322998046875000 T^{9} - 170516967773437500 T^{10} - 16093254089355468750 T^{11} + \)\(93\!\cdots\!25\)\( T^{12} \))(\( 1 + 78 T - 2381 T^{2} - 191094 T^{3} + 7253005 T^{4} + 66450636 T^{5} - 21330994286 T^{6} - 411629383632 T^{7} - 16622006693174 T^{8} - 1286341823850000 T^{9} - 208310491074218750 T^{10} + 2027912475585937500 T^{11} + \)\(69\!\cdots\!25\)\( T^{12} - \)\(56\!\cdots\!50\)\( T^{13} - \)\(22\!\cdots\!25\)\( T^{14} + \)\(22\!\cdots\!50\)\( T^{15} + \)\(90\!\cdots\!25\)\( T^{16} \))(\( 1 - 21 T - 5203 T^{2} + 519930 T^{3} + 14035794 T^{4} - 2854822770 T^{5} + 76722872007 T^{6} + 9761967315441 T^{7} - 599011867854189 T^{8} - 11924309583255600 T^{9} + 2533145723872694124 T^{10} - 37263467447673750000 T^{11} - \)\(58\!\cdots\!25\)\( T^{12} + \)\(29\!\cdots\!25\)\( T^{13} + \)\(73\!\cdots\!75\)\( T^{14} - \)\(85\!\cdots\!50\)\( T^{15} + \)\(13\!\cdots\!50\)\( T^{16} + \)\(15\!\cdots\!50\)\( T^{17} - \)\(47\!\cdots\!75\)\( T^{18} - \)\(59\!\cdots\!25\)\( T^{19} + \)\(88\!\cdots\!25\)\( T^{20} \))(\( 1 + 25 T - 8164 T^{2} - 318611 T^{3} + 27932517 T^{4} + 1565127556 T^{5} - 45270335220 T^{6} - 3251191238312 T^{7} - 19378417944440 T^{8} + 8065656641221992 T^{9} + 579169791252842788 T^{10} - 38380584781304890100 T^{11} - \)\(47\!\cdots\!26\)\( T^{12} + \)\(63\!\cdots\!18\)\( T^{13} + \)\(21\!\cdots\!84\)\( T^{14} + \)\(19\!\cdots\!50\)\( T^{15} - \)\(46\!\cdots\!50\)\( T^{16} - \)\(11\!\cdots\!00\)\( T^{17} + \)\(55\!\cdots\!00\)\( T^{18} + \)\(24\!\cdots\!00\)\( T^{19} - \)\(18\!\cdots\!00\)\( T^{20} - \)\(94\!\cdots\!00\)\( T^{21} - \)\(41\!\cdots\!00\)\( T^{22} + \)\(44\!\cdots\!00\)\( T^{23} + \)\(24\!\cdots\!25\)\( T^{24} - \)\(88\!\cdots\!75\)\( T^{25} - \)\(70\!\cdots\!00\)\( T^{26} + \)\(67\!\cdots\!25\)\( T^{27} + \)\(84\!\cdots\!25\)\( T^{28} \))(\( 1 + 25 T - 9961 T^{2} - 355120 T^{3} + 41317970 T^{4} + 1924368340 T^{5} - 44885115889 T^{6} - 3607801829815 T^{7} - 229629274018871 T^{8} - 5266430289086380 T^{9} + 772909460585629736 T^{10} + 22637800967616144220 T^{11} + \)\(27\!\cdots\!70\)\( T^{12} + \)\(55\!\cdots\!50\)\( T^{13} - \)\(57\!\cdots\!86\)\( T^{14} - \)\(19\!\cdots\!40\)\( T^{15} + \)\(19\!\cdots\!76\)\( T^{16} - \)\(59\!\cdots\!00\)\( T^{17} - \)\(55\!\cdots\!50\)\( T^{18} + \)\(16\!\cdots\!50\)\( T^{19} + \)\(26\!\cdots\!50\)\( T^{20} + \)\(67\!\cdots\!00\)\( T^{21} + \)\(71\!\cdots\!00\)\( T^{22} - \)\(15\!\cdots\!00\)\( T^{23} - \)\(20\!\cdots\!75\)\( T^{24} - \)\(10\!\cdots\!75\)\( T^{25} - \)\(39\!\cdots\!25\)\( T^{26} + \)\(53\!\cdots\!00\)\( T^{27} + \)\(35\!\cdots\!50\)\( T^{28} - \)\(96\!\cdots\!00\)\( T^{29} - \)\(84\!\cdots\!25\)\( T^{30} + \)\(66\!\cdots\!25\)\( T^{31} + \)\(82\!\cdots\!25\)\( T^{32} \))(\( 1 + 87 T + 15458 T^{2} + 1125345 T^{3} + 113212183 T^{4} + 8141460228 T^{5} + 675640183560 T^{6} + 47285055269028 T^{7} + 3450662159177172 T^{8} + 213883991847446580 T^{9} + 13854465411347593176 T^{10} + \)\(78\!\cdots\!20\)\( T^{11} + \)\(47\!\cdots\!17\)\( T^{12} + \)\(25\!\cdots\!27\)\( T^{13} + \)\(13\!\cdots\!10\)\( T^{14} + \)\(69\!\cdots\!97\)\( T^{15} + \)\(32\!\cdots\!23\)\( T^{16} + \)\(15\!\cdots\!80\)\( T^{17} + \)\(74\!\cdots\!28\)\( T^{18} + \)\(38\!\cdots\!48\)\( T^{19} + \)\(20\!\cdots\!76\)\( T^{20} + \)\(12\!\cdots\!00\)\( T^{21} + \)\(73\!\cdots\!00\)\( T^{22} + \)\(48\!\cdots\!00\)\( T^{23} + \)\(31\!\cdots\!75\)\( T^{24} + \)\(20\!\cdots\!25\)\( T^{25} + \)\(12\!\cdots\!50\)\( T^{26} + \)\(74\!\cdots\!75\)\( T^{27} + \)\(42\!\cdots\!25\)\( T^{28} + \)\(22\!\cdots\!00\)\( T^{29} + \)\(12\!\cdots\!00\)\( T^{30} + \)\(59\!\cdots\!00\)\( T^{31} + \)\(29\!\cdots\!00\)\( T^{32} + \)\(12\!\cdots\!00\)\( T^{33} + \)\(57\!\cdots\!00\)\( T^{34} + \)\(21\!\cdots\!00\)\( T^{35} + \)\(93\!\cdots\!75\)\( T^{36} + \)\(29\!\cdots\!25\)\( T^{37} + \)\(12\!\cdots\!50\)\( T^{38} + \)\(21\!\cdots\!75\)\( T^{39} + \)\(78\!\cdots\!25\)\( T^{40} \))(\( 1 + 87 T + 15458 T^{2} + 1125345 T^{3} + 113212183 T^{4} + 8141460228 T^{5} + 675640183560 T^{6} + 47285055269028 T^{7} + 3450662159177172 T^{8} + 213883991847446580 T^{9} + 13854465411347593176 T^{10} + \)\(78\!\cdots\!20\)\( T^{11} + \)\(47\!\cdots\!17\)\( T^{12} + \)\(25\!\cdots\!27\)\( T^{13} + \)\(13\!\cdots\!10\)\( T^{14} + \)\(69\!\cdots\!97\)\( T^{15} + \)\(32\!\cdots\!23\)\( T^{16} + \)\(15\!\cdots\!80\)\( T^{17} + \)\(74\!\cdots\!28\)\( T^{18} + \)\(38\!\cdots\!48\)\( T^{19} + \)\(20\!\cdots\!76\)\( T^{20} + \)\(12\!\cdots\!00\)\( T^{21} + \)\(73\!\cdots\!00\)\( T^{22} + \)\(48\!\cdots\!00\)\( T^{23} + \)\(31\!\cdots\!75\)\( T^{24} + \)\(20\!\cdots\!25\)\( T^{25} + \)\(12\!\cdots\!50\)\( T^{26} + \)\(74\!\cdots\!75\)\( T^{27} + \)\(42\!\cdots\!25\)\( T^{28} + \)\(22\!\cdots\!00\)\( T^{29} + \)\(12\!\cdots\!00\)\( T^{30} + \)\(59\!\cdots\!00\)\( T^{31} + \)\(29\!\cdots\!00\)\( T^{32} + \)\(12\!\cdots\!00\)\( T^{33} + \)\(57\!\cdots\!00\)\( T^{34} + \)\(21\!\cdots\!00\)\( T^{35} + \)\(93\!\cdots\!75\)\( T^{36} + \)\(29\!\cdots\!25\)\( T^{37} + \)\(12\!\cdots\!50\)\( T^{38} + \)\(21\!\cdots\!75\)\( T^{39} + \)\(78\!\cdots\!25\)\( T^{40} \))(\( ( 1 - 87 T + 10861 T^{2} - 725406 T^{3} + 52379262 T^{4} - 2806526226 T^{5} + 140091522087 T^{6} - 7245496266261 T^{7} + 299675380163475 T^{8} - 18859358149927032 T^{9} + 755884865529802548 T^{10} - 58935494218521975000 T^{11} + \)\(29\!\cdots\!75\)\( T^{12} - \)\(22\!\cdots\!25\)\( T^{13} + \)\(13\!\cdots\!75\)\( T^{14} - \)\(83\!\cdots\!50\)\( T^{15} + \)\(48\!\cdots\!50\)\( T^{16} - \)\(21\!\cdots\!50\)\( T^{17} + \)\(98\!\cdots\!25\)\( T^{18} - \)\(24\!\cdots\!75\)\( T^{19} + \)\(88\!\cdots\!25\)\( T^{20} )^{2} \))
$7$ (\( 1 - 193 T + 16807 T^{2} \))(\( 1 + 59 T + 16807 T^{2} \))(\( 1 + 201 T + 16807 T^{2} \))(\( 1 + 77 T + 16807 T^{2} \))(\( 1 - 25 T + 16807 T^{2} \))(\( 1 - 211 T + 16807 T^{2} \))(\( 1 + 77 T + 16807 T^{2} \))(\( 1 + 201 T + 16807 T^{2} \))(\( 1 + 59 T + 16807 T^{2} \))(\( 1 - 193 T + 16807 T^{2} \))(\( 1 - 8 T + 21237 T^{2} - 134456 T^{3} + 282475249 T^{4} \))(\( 1 - 294 T + 48563 T^{2} - 4941258 T^{3} + 282475249 T^{4} \))(\( 1 + 54 T + 22103 T^{2} + 907578 T^{3} + 282475249 T^{4} \))(\( 1 + 12 T + 31769 T^{2} + 201684 T^{3} + 282475249 T^{4} \))(\( ( 1 + 167 T + 16807 T^{2} )^{2} \))(\( ( 1 + 29 T + 16807 T^{2} )^{2} \))(\( 1 - 32 T + 3981 T^{2} - 537824 T^{3} + 282475249 T^{4} \))(\( 1 - 32 T + 3981 T^{2} - 537824 T^{3} + 282475249 T^{4} \))(\( 1 + 12 T + 31769 T^{2} + 201684 T^{3} + 282475249 T^{4} \))(\( 1 + 54 T + 22103 T^{2} + 907578 T^{3} + 282475249 T^{4} \))(\( 1 - 294 T + 48563 T^{2} - 4941258 T^{3} + 282475249 T^{4} \))(\( 1 - 8 T + 21237 T^{2} - 134456 T^{3} + 282475249 T^{4} \))(\( 1 + 15 T + 17472 T^{2} + 2635023 T^{3} + 293651904 T^{4} + 4237128735 T^{5} + 4747561509943 T^{6} \))(\( 1 + 15 T + 17472 T^{2} + 2635023 T^{3} + 293651904 T^{4} + 4237128735 T^{5} + 4747561509943 T^{6} \))(\( ( 1 - 25 T + 16807 T^{2} )( 1 + 25 T + 16807 T^{2} ) \))(\( ( 1 - 211 T + 16807 T^{2} )( 1 + 211 T + 16807 T^{2} ) \))(\( ( 1 - 19331 T^{2} + 282475249 T^{4} )^{2} \))(\( ( 1 - 24539 T^{2} + 282475249 T^{4} )^{2} \))(\( ( 1 - 51166 T^{2} + 1214804595 T^{4} - 14453128590334 T^{6} + 79792266297612001 T^{8} )^{2} \))(\( ( 1 - 35854 T^{2} + 880764099 T^{4} - 10127867577646 T^{6} + 79792266297612001 T^{8} )^{2} \))(\( ( 1 - 32937 T^{2} + 184725006 T^{4} + 3646913855731 T^{6} + 52180242066376494 T^{8} - \)\(26\!\cdots\!37\)\( T^{10} + \)\(22\!\cdots\!49\)\( T^{12} )^{2} \))(\( 1 + 74 T - 29291 T^{2} + 85322 T^{3} + 834233908 T^{4} + 1434006854 T^{5} - 8273982518459 T^{6} + 351319551735782 T^{7} + 79792266297612001 T^{8} \))(\( 1 - 132 T + 9930 T^{2} - 2383268 T^{3} + 22216338 T^{4} + 1188047664 T^{5} + 4115243377158 T^{6} + 19967517088848 T^{7} + 6275565608418162 T^{8} - 11314711424678833724 T^{9} + \)\(79\!\cdots\!30\)\( T^{10} - \)\(17\!\cdots\!24\)\( T^{11} + \)\(22\!\cdots\!49\)\( T^{12} \))(\( 1 + 28 T - 37767 T^{2} + 688508 T^{3} + 752155661 T^{4} - 29978584680 T^{5} - 6360743348222 T^{6} + 326958516789136 T^{7} + 37987499418745374 T^{8} + 5495191791675008752 T^{9} - \)\(17\!\cdots\!78\)\( T^{10} - \)\(14\!\cdots\!40\)\( T^{11} + \)\(60\!\cdots\!61\)\( T^{12} + \)\(92\!\cdots\!56\)\( T^{13} - \)\(85\!\cdots\!83\)\( T^{14} + \)\(10\!\cdots\!04\)\( T^{15} + \)\(63\!\cdots\!01\)\( T^{16} \))(\( 1 + 29 T - 39569 T^{2} - 3762444 T^{3} + 440397336 T^{4} + 77352503496 T^{5} - 2769093584103 T^{6} + 560172784984473 T^{7} + 238615372451780007 T^{8} - 16031898530170676332 T^{9} - \)\(69\!\cdots\!60\)\( T^{10} - \)\(26\!\cdots\!24\)\( T^{11} + \)\(67\!\cdots\!43\)\( T^{12} + \)\(26\!\cdots\!39\)\( T^{13} - \)\(22\!\cdots\!03\)\( T^{14} + \)\(10\!\cdots\!72\)\( T^{15} + \)\(99\!\cdots\!64\)\( T^{16} - \)\(14\!\cdots\!92\)\( T^{17} - \)\(25\!\cdots\!69\)\( T^{18} + \)\(31\!\cdots\!03\)\( T^{19} + \)\(17\!\cdots\!49\)\( T^{20} \))(\( 1 + 93 T - 47014 T^{2} - 4171389 T^{3} + 1494556117 T^{4} + 156294715500 T^{5} - 27659965511228 T^{6} - 3955572741308496 T^{7} + 262751253492307760 T^{8} + 78744340598713966992 T^{9} + \)\(41\!\cdots\!80\)\( T^{10} - \)\(10\!\cdots\!20\)\( T^{11} - \)\(20\!\cdots\!70\)\( T^{12} + \)\(73\!\cdots\!26\)\( T^{13} + \)\(46\!\cdots\!88\)\( T^{14} + \)\(12\!\cdots\!82\)\( T^{15} - \)\(58\!\cdots\!30\)\( T^{16} - \)\(50\!\cdots\!60\)\( T^{17} + \)\(33\!\cdots\!80\)\( T^{18} + \)\(10\!\cdots\!44\)\( T^{19} + \)\(59\!\cdots\!40\)\( T^{20} - \)\(14\!\cdots\!28\)\( T^{21} - \)\(17\!\cdots\!28\)\( T^{22} + \)\(16\!\cdots\!00\)\( T^{23} + \)\(26\!\cdots\!33\)\( T^{24} - \)\(12\!\cdots\!27\)\( T^{25} - \)\(23\!\cdots\!14\)\( T^{26} + \)\(79\!\cdots\!51\)\( T^{27} + \)\(14\!\cdots\!49\)\( T^{28} \))(\( 1 - 93 T - 51467 T^{2} + 1139634 T^{3} + 1413276300 T^{4} + 65493773442 T^{5} - 18530034778363 T^{6} - 2277040599077847 T^{7} - 8935217953801423 T^{8} + 25357782238509171204 T^{9} + \)\(28\!\cdots\!76\)\( T^{10} - \)\(16\!\cdots\!28\)\( T^{11} + \)\(24\!\cdots\!90\)\( T^{12} - \)\(20\!\cdots\!38\)\( T^{13} - \)\(98\!\cdots\!14\)\( T^{14} + \)\(83\!\cdots\!40\)\( T^{15} + \)\(21\!\cdots\!24\)\( T^{16} + \)\(14\!\cdots\!80\)\( T^{17} - \)\(27\!\cdots\!86\)\( T^{18} - \)\(99\!\cdots\!34\)\( T^{19} + \)\(19\!\cdots\!90\)\( T^{20} - \)\(21\!\cdots\!96\)\( T^{21} + \)\(64\!\cdots\!24\)\( T^{22} + \)\(96\!\cdots\!72\)\( T^{23} - \)\(56\!\cdots\!23\)\( T^{24} - \)\(24\!\cdots\!29\)\( T^{25} - \)\(33\!\cdots\!87\)\( T^{26} + \)\(19\!\cdots\!06\)\( T^{27} + \)\(71\!\cdots\!00\)\( T^{28} + \)\(97\!\cdots\!38\)\( T^{29} - \)\(73\!\cdots\!83\)\( T^{30} - \)\(22\!\cdots\!99\)\( T^{31} + \)\(40\!\cdots\!01\)\( T^{32} \))(\( 1 + 87 T + 78874 T^{2} + 6642537 T^{3} + 2701955941 T^{4} + 224177740020 T^{5} + 57246374662410 T^{6} + 4438488480046074 T^{7} + 976097341773829020 T^{8} + 57120315129690558390 T^{9} + \)\(13\!\cdots\!18\)\( T^{10} + \)\(41\!\cdots\!16\)\( T^{11} + \)\(13\!\cdots\!11\)\( T^{12} + \)\(10\!\cdots\!09\)\( T^{13} + \)\(23\!\cdots\!34\)\( T^{14} + \)\(12\!\cdots\!67\)\( T^{15} + \)\(92\!\cdots\!75\)\( T^{16} + \)\(68\!\cdots\!08\)\( T^{17} + \)\(23\!\cdots\!76\)\( T^{18} + \)\(18\!\cdots\!76\)\( T^{19} + \)\(42\!\cdots\!64\)\( T^{20} + \)\(30\!\cdots\!32\)\( T^{21} + \)\(65\!\cdots\!24\)\( T^{22} + \)\(32\!\cdots\!44\)\( T^{23} + \)\(73\!\cdots\!75\)\( T^{24} + \)\(16\!\cdots\!69\)\( T^{25} + \)\(52\!\cdots\!66\)\( T^{26} + \)\(41\!\cdots\!87\)\( T^{27} + \)\(83\!\cdots\!11\)\( T^{28} + \)\(44\!\cdots\!12\)\( T^{29} + \)\(24\!\cdots\!82\)\( T^{30} + \)\(17\!\cdots\!70\)\( T^{31} + \)\(49\!\cdots\!20\)\( T^{32} + \)\(37\!\cdots\!18\)\( T^{33} + \)\(82\!\cdots\!90\)\( T^{34} + \)\(54\!\cdots\!60\)\( T^{35} + \)\(10\!\cdots\!41\)\( T^{36} + \)\(45\!\cdots\!59\)\( T^{37} + \)\(90\!\cdots\!26\)\( T^{38} + \)\(16\!\cdots\!41\)\( T^{39} + \)\(32\!\cdots\!01\)\( T^{40} \))(\( 1 - 87 T + 78874 T^{2} - 6642537 T^{3} + 2701955941 T^{4} - 224177740020 T^{5} + 57246374662410 T^{6} - 4438488480046074 T^{7} + 976097341773829020 T^{8} - 57120315129690558390 T^{9} + \)\(13\!\cdots\!18\)\( T^{10} - \)\(41\!\cdots\!16\)\( T^{11} + \)\(13\!\cdots\!11\)\( T^{12} - \)\(10\!\cdots\!09\)\( T^{13} + \)\(23\!\cdots\!34\)\( T^{14} - \)\(12\!\cdots\!67\)\( T^{15} + \)\(92\!\cdots\!75\)\( T^{16} - \)\(68\!\cdots\!08\)\( T^{17} + \)\(23\!\cdots\!76\)\( T^{18} - \)\(18\!\cdots\!76\)\( T^{19} + \)\(42\!\cdots\!64\)\( T^{20} - \)\(30\!\cdots\!32\)\( T^{21} + \)\(65\!\cdots\!24\)\( T^{22} - \)\(32\!\cdots\!44\)\( T^{23} + \)\(73\!\cdots\!75\)\( T^{24} - \)\(16\!\cdots\!69\)\( T^{25} + \)\(52\!\cdots\!66\)\( T^{26} - \)\(41\!\cdots\!87\)\( T^{27} + \)\(83\!\cdots\!11\)\( T^{28} - \)\(44\!\cdots\!12\)\( T^{29} + \)\(24\!\cdots\!82\)\( T^{30} - \)\(17\!\cdots\!70\)\( T^{31} + \)\(49\!\cdots\!20\)\( T^{32} - \)\(37\!\cdots\!18\)\( T^{33} + \)\(82\!\cdots\!90\)\( T^{34} - \)\(54\!\cdots\!60\)\( T^{35} + \)\(10\!\cdots\!41\)\( T^{36} - \)\(45\!\cdots\!59\)\( T^{37} + \)\(90\!\cdots\!26\)\( T^{38} - \)\(16\!\cdots\!41\)\( T^{39} + \)\(32\!\cdots\!01\)\( T^{40} \))(\( 1 + 65911 T^{2} + 2512603861 T^{4} + 63770665558962 T^{6} + 1195859157975323922 T^{8} + \)\(17\!\cdots\!02\)\( T^{10} + \)\(25\!\cdots\!63\)\( T^{12} + \)\(47\!\cdots\!81\)\( T^{14} + \)\(10\!\cdots\!19\)\( T^{16} + \)\(23\!\cdots\!60\)\( T^{18} + \)\(43\!\cdots\!00\)\( T^{20} + \)\(66\!\cdots\!40\)\( T^{22} + \)\(86\!\cdots\!19\)\( T^{24} + \)\(10\!\cdots\!69\)\( T^{26} + \)\(16\!\cdots\!63\)\( T^{28} + \)\(32\!\cdots\!98\)\( T^{30} + \)\(60\!\cdots\!22\)\( T^{32} + \)\(91\!\cdots\!38\)\( T^{34} + \)\(10\!\cdots\!61\)\( T^{36} + \)\(75\!\cdots\!39\)\( T^{38} + \)\(32\!\cdots\!01\)\( T^{40} \))
$11$ (\( 1 - 348 T + 161051 T^{2} \))(\( 1 - 147 T + 161051 T^{2} \))(\( 1 + 43 T + 161051 T^{2} \))(\( 1 - 408 T + 161051 T^{2} \))(\( 1 + 161051 T^{2} \))(\( 1 + 161051 T^{2} \))(\( 1 + 408 T + 161051 T^{2} \))(\( 1 - 43 T + 161051 T^{2} \))(\( 1 + 147 T + 161051 T^{2} \))(\( 1 + 348 T + 161051 T^{2} \))(\( 1 - 522 T + 351055 T^{2} - 84068622 T^{3} + 25937424601 T^{4} \))(\( 1 + 130 T + 86567 T^{2} + 20936630 T^{3} + 25937424601 T^{4} \))(\( 1 - 148 T + 300038 T^{2} - 23835548 T^{3} + 25937424601 T^{4} \))(\( 1 + 238 T + 65399 T^{2} + 38330138 T^{3} + 25937424601 T^{4} \))(\( 1 - 261962 T^{2} + 25937424601 T^{4} \))(\( 1 + 314326 T^{2} + 25937424601 T^{4} \))(\( 1 + 486 T + 168607 T^{2} + 78270786 T^{3} + 25937424601 T^{4} \))(\( 1 - 486 T + 168607 T^{2} - 78270786 T^{3} + 25937424601 T^{4} \))(\( 1 - 238 T + 65399 T^{2} - 38330138 T^{3} + 25937424601 T^{4} \))(\( 1 + 148 T + 300038 T^{2} + 23835548 T^{3} + 25937424601 T^{4} \))(\( 1 - 130 T + 86567 T^{2} - 20936630 T^{3} + 25937424601 T^{4} \))(\( 1 + 522 T + 351055 T^{2} + 84068622 T^{3} + 25937424601 T^{4} \))(\( 1 + 444 T + 179073 T^{2} + 13886824 T^{3} + 28839885723 T^{4} + 11516216522844 T^{5} + 4177248169415651 T^{6} \))(\( 1 - 444 T + 179073 T^{2} - 13886824 T^{3} + 28839885723 T^{4} - 11516216522844 T^{5} + 4177248169415651 T^{6} \))(\( ( 1 + 161051 T^{2} )^{2} \))(\( ( 1 + 161051 T^{2} )^{2} \))(\( ( 1 + 170470 T^{2} + 25937424601 T^{4} )^{2} \))(\( ( 1 + 307414 T^{2} + 25937424601 T^{4} )^{2} \))(\( ( 1 - 58660 T^{2} - 13070063946 T^{4} - 1521489327094660 T^{6} + \)\(67\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 + 192710 T^{2} + 44935304379 T^{4} + 4998401094858710 T^{6} + \)\(67\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 + 415857 T^{2} + 77530270038 T^{4} + 11715995803283989 T^{6} + \)\(20\!\cdots\!38\)\( T^{8} + \)\(27\!\cdots\!57\)\( T^{10} + \)\(17\!\cdots\!01\)\( T^{12} )^{2} \))(\( 1 + 78 T + 81845 T^{2} - 31033314 T^{3} - 21177529764 T^{4} - 4997946253014 T^{5} + 2122848516468845 T^{6} + 325825357214420778 T^{7} + \)\(67\!\cdots\!01\)\( T^{8} \))(\( 1 + 315 T - 222063 T^{2} - 18182214 T^{3} + 32678625651 T^{4} - 5249320804629 T^{5} - 7280422055915978 T^{6} - 845408364906305079 T^{7} + \)\(84\!\cdots\!51\)\( T^{8} - \)\(75\!\cdots\!14\)\( T^{9} - \)\(14\!\cdots\!63\)\( T^{10} + \)\(34\!\cdots\!65\)\( T^{11} + \)\(17\!\cdots\!01\)\( T^{12} \))(\( 1 - 444 T - 421874 T^{2} + 122372328 T^{3} + 147603288625 T^{4} - 24043789512072 T^{5} - 33881306185300610 T^{6} + 1343287267601416260 T^{7} + \)\(64\!\cdots\!56\)\( T^{8} + \)\(21\!\cdots\!60\)\( T^{9} - \)\(87\!\cdots\!10\)\( T^{10} - \)\(10\!\cdots\!72\)\( T^{11} + \)\(99\!\cdots\!25\)\( T^{12} + \)\(13\!\cdots\!28\)\( T^{13} - \)\(73\!\cdots\!74\)\( T^{14} - \)\(12\!\cdots\!44\)\( T^{15} + \)\(45\!\cdots\!01\)\( T^{16} \))(\( 1 - 177 T - 396232 T^{2} - 71434269 T^{3} + 104816625882 T^{4} + 33726096455301 T^{5} - 6913987980717606 T^{6} - 8552599160812456257 T^{7} - \)\(10\!\cdots\!51\)\( T^{8} + \)\(50\!\cdots\!82\)\( T^{9} + \)\(47\!\cdots\!16\)\( T^{10} + \)\(81\!\cdots\!82\)\( T^{11} - \)\(27\!\cdots\!51\)\( T^{12} - \)\(35\!\cdots\!07\)\( T^{13} - \)\(46\!\cdots\!06\)\( T^{14} + \)\(36\!\cdots\!51\)\( T^{15} + \)\(18\!\cdots\!82\)\( T^{16} - \)\(20\!\cdots\!19\)\( T^{17} - \)\(17\!\cdots\!32\)\( T^{18} - \)\(12\!\cdots\!27\)\( T^{19} + \)\(11\!\cdots\!01\)\( T^{20} \))(\( 1 + 359 T - 713557 T^{2} - 159433936 T^{3} + 305969114322 T^{4} + 33381105701438 T^{5} - 91317280089255693 T^{6} - 2170736290619808613 T^{7} + \)\(21\!\cdots\!56\)\( T^{8} - \)\(58\!\cdots\!73\)\( T^{9} - \)\(39\!\cdots\!79\)\( T^{10} + \)\(17\!\cdots\!14\)\( T^{11} + \)\(67\!\cdots\!61\)\( T^{12} - \)\(13\!\cdots\!75\)\( T^{13} - \)\(10\!\cdots\!94\)\( T^{14} - \)\(21\!\cdots\!25\)\( T^{15} + \)\(17\!\cdots\!61\)\( T^{16} + \)\(72\!\cdots\!14\)\( T^{17} - \)\(26\!\cdots\!79\)\( T^{18} - \)\(63\!\cdots\!23\)\( T^{19} + \)\(36\!\cdots\!56\)\( T^{20} - \)\(61\!\cdots\!63\)\( T^{21} - \)\(41\!\cdots\!93\)\( T^{22} + \)\(24\!\cdots\!38\)\( T^{23} + \)\(35\!\cdots\!22\)\( T^{24} - \)\(30\!\cdots\!36\)\( T^{25} - \)\(21\!\cdots\!57\)\( T^{26} + \)\(17\!\cdots\!09\)\( T^{27} + \)\(78\!\cdots\!01\)\( T^{28} \))(\( 1 + 596 T - 61060 T^{2} - 455883968 T^{3} - 218809782778 T^{4} + 19952947552364 T^{5} + 92717220800303336 T^{6} + 39432028403284968532 T^{7} - \)\(21\!\cdots\!99\)\( T^{8} - \)\(11\!\cdots\!92\)\( T^{9} - \)\(46\!\cdots\!52\)\( T^{10} - \)\(75\!\cdots\!32\)\( T^{11} + \)\(88\!\cdots\!86\)\( T^{12} + \)\(40\!\cdots\!20\)\( T^{13} + \)\(51\!\cdots\!24\)\( T^{14} - \)\(45\!\cdots\!20\)\( T^{15} - \)\(29\!\cdots\!60\)\( T^{16} - \)\(72\!\cdots\!20\)\( T^{17} + \)\(13\!\cdots\!24\)\( T^{18} + \)\(17\!\cdots\!20\)\( T^{19} + \)\(59\!\cdots\!86\)\( T^{20} - \)\(82\!\cdots\!32\)\( T^{21} - \)\(81\!\cdots\!52\)\( T^{22} - \)\(31\!\cdots\!92\)\( T^{23} - \)\(98\!\cdots\!99\)\( T^{24} + \)\(28\!\cdots\!32\)\( T^{25} + \)\(10\!\cdots\!36\)\( T^{26} + \)\(37\!\cdots\!64\)\( T^{27} - \)\(66\!\cdots\!78\)\( T^{28} - \)\(22\!\cdots\!68\)\( T^{29} - \)\(48\!\cdots\!60\)\( T^{30} + \)\(75\!\cdots\!96\)\( T^{31} + \)\(20\!\cdots\!01\)\( T^{32} \))(\( 1 + 570 T - 588011 T^{2} - 304300326 T^{3} + 240048514402 T^{4} + 87664355195346 T^{5} - 72804214951419813 T^{6} - 11704157913872254374 T^{7} + \)\(17\!\cdots\!82\)\( T^{8} - \)\(14\!\cdots\!50\)\( T^{9} - \)\(30\!\cdots\!53\)\( T^{10} + \)\(13\!\cdots\!66\)\( T^{11} + \)\(33\!\cdots\!00\)\( T^{12} - \)\(41\!\cdots\!90\)\( T^{13} + \)\(13\!\cdots\!11\)\( T^{14} + \)\(84\!\cdots\!74\)\( T^{15} - \)\(16\!\cdots\!35\)\( T^{16} - \)\(11\!\cdots\!64\)\( T^{17} + \)\(48\!\cdots\!10\)\( T^{18} + \)\(74\!\cdots\!36\)\( T^{19} - \)\(91\!\cdots\!08\)\( T^{20} + \)\(11\!\cdots\!36\)\( T^{21} + \)\(12\!\cdots\!10\)\( T^{22} - \)\(48\!\cdots\!64\)\( T^{23} - \)\(11\!\cdots\!35\)\( T^{24} + \)\(91\!\cdots\!74\)\( T^{25} + \)\(24\!\cdots\!11\)\( T^{26} - \)\(11\!\cdots\!90\)\( T^{27} + \)\(15\!\cdots\!00\)\( T^{28} + \)\(97\!\cdots\!66\)\( T^{29} - \)\(35\!\cdots\!53\)\( T^{30} - \)\(27\!\cdots\!50\)\( T^{31} + \)\(53\!\cdots\!82\)\( T^{32} - \)\(57\!\cdots\!74\)\( T^{33} - \)\(57\!\cdots\!13\)\( T^{34} + \)\(11\!\cdots\!46\)\( T^{35} + \)\(49\!\cdots\!02\)\( T^{36} - \)\(10\!\cdots\!26\)\( T^{37} - \)\(31\!\cdots\!11\)\( T^{38} + \)\(48\!\cdots\!70\)\( T^{39} + \)\(13\!\cdots\!01\)\( T^{40} \))(\( 1 - 570 T - 588011 T^{2} + 304300326 T^{3} + 240048514402 T^{4} - 87664355195346 T^{5} - 72804214951419813 T^{6} + 11704157913872254374 T^{7} + \)\(17\!\cdots\!82\)\( T^{8} + \)\(14\!\cdots\!50\)\( T^{9} - \)\(30\!\cdots\!53\)\( T^{10} - \)\(13\!\cdots\!66\)\( T^{11} + \)\(33\!\cdots\!00\)\( T^{12} + \)\(41\!\cdots\!90\)\( T^{13} + \)\(13\!\cdots\!11\)\( T^{14} - \)\(84\!\cdots\!74\)\( T^{15} - \)\(16\!\cdots\!35\)\( T^{16} + \)\(11\!\cdots\!64\)\( T^{17} + \)\(48\!\cdots\!10\)\( T^{18} - \)\(74\!\cdots\!36\)\( T^{19} - \)\(91\!\cdots\!08\)\( T^{20} - \)\(11\!\cdots\!36\)\( T^{21} + \)\(12\!\cdots\!10\)\( T^{22} + \)\(48\!\cdots\!64\)\( T^{23} - \)\(11\!\cdots\!35\)\( T^{24} - \)\(91\!\cdots\!74\)\( T^{25} + \)\(24\!\cdots\!11\)\( T^{26} + \)\(11\!\cdots\!90\)\( T^{27} + \)\(15\!\cdots\!00\)\( T^{28} - \)\(97\!\cdots\!66\)\( T^{29} - \)\(35\!\cdots\!53\)\( T^{30} + \)\(27\!\cdots\!50\)\( T^{31} + \)\(53\!\cdots\!82\)\( T^{32} + \)\(57\!\cdots\!74\)\( T^{33} - \)\(57\!\cdots\!13\)\( T^{34} - \)\(11\!\cdots\!46\)\( T^{35} + \)\(49\!\cdots\!02\)\( T^{36} + \)\(10\!\cdots\!26\)\( T^{37} - \)\(31\!\cdots\!11\)\( T^{38} - \)\(48\!\cdots\!70\)\( T^{39} + \)\(13\!\cdots\!01\)\( T^{40} \))(\( 1 - 858047 T^{2} + 345328988866 T^{4} - 92808687513390621 T^{6} + \)\(20\!\cdots\!94\)\( T^{8} - \)\(41\!\cdots\!61\)\( T^{10} + \)\(77\!\cdots\!88\)\( T^{12} - \)\(13\!\cdots\!69\)\( T^{14} + \)\(22\!\cdots\!17\)\( T^{16} - \)\(35\!\cdots\!82\)\( T^{18} + \)\(55\!\cdots\!24\)\( T^{20} - \)\(91\!\cdots\!82\)\( T^{22} + \)\(15\!\cdots\!17\)\( T^{24} - \)\(23\!\cdots\!69\)\( T^{26} + \)\(35\!\cdots\!88\)\( T^{28} - \)\(48\!\cdots\!61\)\( T^{30} + \)\(62\!\cdots\!94\)\( T^{32} - \)\(73\!\cdots\!21\)\( T^{34} + \)\(70\!\cdots\!66\)\( T^{36} - \)\(45\!\cdots\!47\)\( T^{38} + \)\(13\!\cdots\!01\)\( T^{40} \))
$13$ (\( 1 - 845 T + 371293 T^{2} \))(\( 1 - 836 T + 371293 T^{2} \))(\( 1 - 244 T + 371293 T^{2} \))(\( 1 - 89 T + 371293 T^{2} \))(\( 1 + 427 T + 371293 T^{2} \))(\( 1 + 775 T + 371293 T^{2} \))(\( 1 - 89 T + 371293 T^{2} \))(\( 1 - 244 T + 371293 T^{2} \))(\( 1 - 836 T + 371293 T^{2} \))(\( 1 - 845 T + 371293 T^{2} \))(\( 1 + 704 T + 668202 T^{2} + 261390272 T^{3} + 137858491849 T^{4} \))(\( 1 + 112 T + 719082 T^{2} + 41584816 T^{3} + 137858491849 T^{4} \))(\( 1 - 242 T + 451227 T^{2} - 89852906 T^{3} + 137858491849 T^{4} \))(\( 1 + 472 T + 316746 T^{2} + 175250296 T^{3} + 137858491849 T^{4} \))(\( ( 1 + 235 T + 371293 T^{2} )^{2} \))(\( ( 1 - 329 T + 371293 T^{2} )^{2} \))(\( 1 - 208 T + 275178 T^{2} - 77228944 T^{3} + 137858491849 T^{4} \))(\( 1 - 208 T + 275178 T^{2} - 77228944 T^{3} + 137858491849 T^{4} \))(\( 1 + 472 T + 316746 T^{2} + 175250296 T^{3} + 137858491849 T^{4} \))(\( 1 - 242 T + 451227 T^{2} - 89852906 T^{3} + 137858491849 T^{4} \))(\( 1 + 112 T + 719082 T^{2} + 41584816 T^{3} + 137858491849 T^{4} \))(\( 1 + 704 T + 668202 T^{2} + 261390272 T^{3} + 137858491849 T^{4} \))(\( 1 + 669 T + 133338 T^{2} + 105113009 T^{3} + 49507466034 T^{4} + 92227331046981 T^{5} + 51185893014090757 T^{6} \))(\( 1 + 669 T + 133338 T^{2} + 105113009 T^{3} + 49507466034 T^{4} + 92227331046981 T^{5} + 51185893014090757 T^{6} \))(\( ( 1 - 427 T + 371293 T^{2} )^{2} \))(\( ( 1 - 775 T + 371293 T^{2} )^{2} \))(\( ( 1 + 629 T + 371293 T^{2} )^{4} \))(\( ( 1 + 185 T + 371293 T^{2} )^{4} \))(\( ( 1 - 242 T + 165927 T^{2} - 89852906 T^{3} + 137858491849 T^{4} )^{4} \))(\( ( 1 - 452 T + 175470 T^{2} - 167824436 T^{3} + 137858491849 T^{4} )^{4} \))(\( ( 1 + 510 T + 817827 T^{2} + 322828724 T^{3} + 303653440311 T^{4} + 70307830842990 T^{5} + 51185893014090757 T^{6} )^{4} \))(\( 1 - 1106 T + 261241 T^{2} - 242666354 T^{3} + 333396924028 T^{4} - 90100318575722 T^{5} + 36014290269124609 T^{6} - 56611597673584377242 T^{7} + \)\(19\!\cdots\!01\)\( T^{8} \))(\( 1 + 744 T + 110316 T^{2} - 5563444 T^{3} - 92859229188 T^{4} - 67995162383184 T^{5} - 18766393745055906 T^{6} - 25246127826739536912 T^{7} - \)\(12\!\cdots\!12\)\( T^{8} - \)\(28\!\cdots\!08\)\( T^{9} + \)\(20\!\cdots\!16\)\( T^{10} + \)\(52\!\cdots\!92\)\( T^{11} + \)\(26\!\cdots\!49\)\( T^{12} \))(\( 1 + 182 T - 1009641 T^{2} - 162494414 T^{3} + 553084541681 T^{4} + 66263508549516 T^{5} - 217064082764017418 T^{6} - 12452829446314121656 T^{7} + \)\(75\!\cdots\!98\)\( T^{8} - \)\(46\!\cdots\!08\)\( T^{9} - \)\(29\!\cdots\!82\)\( T^{10} + \)\(33\!\cdots\!12\)\( T^{11} + \)\(10\!\cdots\!81\)\( T^{12} - \)\(11\!\cdots\!02\)\( T^{13} - \)\(26\!\cdots\!09\)\( T^{14} + \)\(17\!\cdots\!74\)\( T^{15} + \)\(36\!\cdots\!01\)\( T^{16} \))(\( 1 + 181 T - 1012331 T^{2} + 14482182 T^{3} + 446454243174 T^{4} - 84043375137762 T^{5} - 192479505557683773 T^{6} - 802846347498861897 T^{7} + \)\(98\!\cdots\!51\)\( T^{8} + \)\(77\!\cdots\!72\)\( T^{9} - \)\(41\!\cdots\!24\)\( T^{10} + \)\(28\!\cdots\!96\)\( T^{11} + \)\(13\!\cdots\!99\)\( T^{12} - \)\(41\!\cdots\!29\)\( T^{13} - \)\(36\!\cdots\!73\)\( T^{14} - \)\(59\!\cdots\!66\)\( T^{15} + \)\(11\!\cdots\!26\)\( T^{16} + \)\(14\!\cdots\!74\)\( T^{17} - \)\(36\!\cdots\!31\)\( T^{18} + \)\(24\!\cdots\!33\)\( T^{19} + \)\(49\!\cdots\!49\)\( T^{20} \))(\( 1 - 89 T - 2058636 T^{2} + 219178995 T^{3} + 2268011875089 T^{4} - 247134469996752 T^{5} - 1792198711390521660 T^{6} + \)\(16\!\cdots\!80\)\( T^{7} + \)\(11\!\cdots\!60\)\( T^{8} - \)\(77\!\cdots\!20\)\( T^{9} - \)\(60\!\cdots\!88\)\( T^{10} + \)\(23\!\cdots\!36\)\( T^{11} + \)\(27\!\cdots\!94\)\( T^{12} - \)\(33\!\cdots\!42\)\( T^{13} - \)\(10\!\cdots\!88\)\( T^{14} - \)\(12\!\cdots\!06\)\( T^{15} + \)\(38\!\cdots\!06\)\( T^{16} + \)\(12\!\cdots\!52\)\( T^{17} - \)\(11\!\cdots\!88\)\( T^{18} - \)\(54\!\cdots\!60\)\( T^{19} + \)\(29\!\cdots\!40\)\( T^{20} + \)\(16\!\cdots\!60\)\( T^{21} - \)\(64\!\cdots\!60\)\( T^{22} - \)\(33\!\cdots\!36\)\( T^{23} + \)\(11\!\cdots\!61\)\( T^{24} + \)\(40\!\cdots\!15\)\( T^{25} - \)\(14\!\cdots\!36\)\( T^{26} - \)\(22\!\cdots\!77\)\( T^{27} + \)\(94\!\cdots\!49\)\( T^{28} \))(\( 1 + 89 T - 502679 T^{2} + 47151622 T^{3} + 82535103458 T^{4} - 71526474077762 T^{5} + 4174495306830045 T^{6} + 31969473411078931545 T^{7} - \)\(49\!\cdots\!67\)\( T^{8} - \)\(31\!\cdots\!60\)\( T^{9} - \)\(11\!\cdots\!64\)\( T^{10} - \)\(29\!\cdots\!76\)\( T^{11} + \)\(33\!\cdots\!06\)\( T^{12} + \)\(18\!\cdots\!02\)\( T^{13} - \)\(13\!\cdots\!26\)\( T^{14} - \)\(38\!\cdots\!56\)\( T^{15} + \)\(33\!\cdots\!84\)\( T^{16} - \)\(14\!\cdots\!08\)\( T^{17} - \)\(18\!\cdots\!74\)\( T^{18} + \)\(95\!\cdots\!14\)\( T^{19} + \)\(64\!\cdots\!06\)\( T^{20} - \)\(20\!\cdots\!68\)\( T^{21} - \)\(30\!\cdots\!36\)\( T^{22} - \)\(30\!\cdots\!20\)\( T^{23} - \)\(18\!\cdots\!67\)\( T^{24} + \)\(42\!\cdots\!85\)\( T^{25} + \)\(20\!\cdots\!05\)\( T^{26} - \)\(13\!\cdots\!34\)\( T^{27} + \)\(56\!\cdots\!58\)\( T^{28} + \)\(12\!\cdots\!46\)\( T^{29} - \)\(47\!\cdots\!71\)\( T^{30} + \)\(31\!\cdots\!73\)\( T^{31} + \)\(13\!\cdots\!01\)\( T^{32} \))(\( 1 + 181 T - 1671522 T^{2} - 912229757 T^{3} + 1374598099627 T^{4} + 1236714535145700 T^{5} - 423182486424300708 T^{6} - \)\(94\!\cdots\!32\)\( T^{7} - \)\(20\!\cdots\!60\)\( T^{8} + \)\(38\!\cdots\!60\)\( T^{9} + \)\(31\!\cdots\!72\)\( T^{10} - \)\(34\!\cdots\!44\)\( T^{11} - \)\(17\!\cdots\!95\)\( T^{12} - \)\(68\!\cdots\!51\)\( T^{13} + \)\(47\!\cdots\!34\)\( T^{14} + \)\(51\!\cdots\!71\)\( T^{15} + \)\(36\!\cdots\!59\)\( T^{16} - \)\(19\!\cdots\!44\)\( T^{17} - \)\(10\!\cdots\!80\)\( T^{18} + \)\(29\!\cdots\!56\)\( T^{19} + \)\(51\!\cdots\!36\)\( T^{20} + \)\(10\!\cdots\!08\)\( T^{21} - \)\(13\!\cdots\!20\)\( T^{22} - \)\(97\!\cdots\!08\)\( T^{23} + \)\(69\!\cdots\!59\)\( T^{24} + \)\(36\!\cdots\!03\)\( T^{25} + \)\(12\!\cdots\!66\)\( T^{26} - \)\(66\!\cdots\!07\)\( T^{27} - \)\(63\!\cdots\!95\)\( T^{28} - \)\(46\!\cdots\!92\)\( T^{29} + \)\(15\!\cdots\!28\)\( T^{30} + \)\(71\!\cdots\!20\)\( T^{31} - \)\(14\!\cdots\!60\)\( T^{32} - \)\(23\!\cdots\!76\)\( T^{33} - \)\(40\!\cdots\!92\)\( T^{34} + \)\(43\!\cdots\!00\)\( T^{35} + \)\(17\!\cdots\!27\)\( T^{36} - \)\(44\!\cdots\!01\)\( T^{37} - \)\(30\!\cdots\!78\)\( T^{38} + \)\(12\!\cdots\!17\)\( T^{39} + \)\(24\!\cdots\!01\)\( T^{40} \))(\( 1 + 181 T - 1671522 T^{2} - 912229757 T^{3} + 1374598099627 T^{4} + 1236714535145700 T^{5} - 423182486424300708 T^{6} - \)\(94\!\cdots\!32\)\( T^{7} - \)\(20\!\cdots\!60\)\( T^{8} + \)\(38\!\cdots\!60\)\( T^{9} + \)\(31\!\cdots\!72\)\( T^{10} - \)\(34\!\cdots\!44\)\( T^{11} - \)\(17\!\cdots\!95\)\( T^{12} - \)\(68\!\cdots\!51\)\( T^{13} + \)\(47\!\cdots\!34\)\( T^{14} + \)\(51\!\cdots\!71\)\( T^{15} + \)\(36\!\cdots\!59\)\( T^{16} - \)\(19\!\cdots\!44\)\( T^{17} - \)\(10\!\cdots\!80\)\( T^{18} + \)\(29\!\cdots\!56\)\( T^{19} + \)\(51\!\cdots\!36\)\( T^{20} + \)\(10\!\cdots\!08\)\( T^{21} - \)\(13\!\cdots\!20\)\( T^{22} - \)\(97\!\cdots\!08\)\( T^{23} + \)\(69\!\cdots\!59\)\( T^{24} + \)\(36\!\cdots\!03\)\( T^{25} + \)\(12\!\cdots\!66\)\( T^{26} - \)\(66\!\cdots\!07\)\( T^{27} - \)\(63\!\cdots\!95\)\( T^{28} - \)\(46\!\cdots\!92\)\( T^{29} + \)\(15\!\cdots\!28\)\( T^{30} + \)\(71\!\cdots\!20\)\( T^{31} - \)\(14\!\cdots\!60\)\( T^{32} - \)\(23\!\cdots\!76\)\( T^{33} - \)\(40\!\cdots\!92\)\( T^{34} + \)\(43\!\cdots\!00\)\( T^{35} + \)\(17\!\cdots\!27\)\( T^{36} - \)\(44\!\cdots\!01\)\( T^{37} - \)\(30\!\cdots\!78\)\( T^{38} + \)\(12\!\cdots\!17\)\( T^{39} + \)\(24\!\cdots\!01\)\( T^{40} \))(\( ( 1 - 181 T - 866207 T^{2} + 679726374 T^{3} + 351261987906 T^{4} - 508015231311558 T^{5} + 69547686157872123 T^{6} + \)\(23\!\cdots\!37\)\( T^{7} - \)\(11\!\cdots\!81\)\( T^{8} - \)\(36\!\cdots\!32\)\( T^{9} + \)\(68\!\cdots\!32\)\( T^{10} - \)\(13\!\cdots\!76\)\( T^{11} - \)\(16\!\cdots\!69\)\( T^{12} + \)\(12\!\cdots\!09\)\( T^{13} + \)\(13\!\cdots\!23\)\( T^{14} - \)\(35\!\cdots\!94\)\( T^{15} + \)\(92\!\cdots\!94\)\( T^{16} + \)\(66\!\cdots\!18\)\( T^{17} - \)\(31\!\cdots\!07\)\( T^{18} - \)\(24\!\cdots\!33\)\( T^{19} + \)\(49\!\cdots\!49\)\( T^{20} )^{2} \))
$17$ (\( 1 + 1692 T + 1419857 T^{2} \))(\( 1 - 1080 T + 1419857 T^{2} \))(\( 1 + 1576 T + 1419857 T^{2} \))(\( 1 + 2088 T + 1419857 T^{2} \))(\( 1 + 1419857 T^{2} \))(\( 1 + 1419857 T^{2} \))(\( 1 - 2088 T + 1419857 T^{2} \))(\( 1 - 1576 T + 1419857 T^{2} \))(\( 1 + 1080 T + 1419857 T^{2} \))(\( 1 - 1692 T + 1419857 T^{2} \))(\( 1 + 216 T + 1771810 T^{2} + 306689112 T^{3} + 2015993900449 T^{4} \))(\( 1 + 2584 T + 4482338 T^{2} + 3668910488 T^{3} + 2015993900449 T^{4} \))(\( 1 + 212 T + 2333810 T^{2} + 301009684 T^{3} + 2015993900449 T^{4} \))(\( 1 - 368 T + 2392034 T^{2} - 522507376 T^{3} + 2015993900449 T^{4} \))(\( 1 + 2808610 T^{2} + 2015993900449 T^{4} \))(\( 1 - 2020286 T^{2} + 2015993900449 T^{4} \))(\( 1 - 1944 T + 2456098 T^{2} - 2760202008 T^{3} + 2015993900449 T^{4} \))(\( 1 + 1944 T + 2456098 T^{2} + 2760202008 T^{3} + 2015993900449 T^{4} \))(\( 1 + 368 T + 2392034 T^{2} + 522507376 T^{3} + 2015993900449 T^{4} \))(\( 1 - 212 T + 2333810 T^{2} - 301009684 T^{3} + 2015993900449 T^{4} \))(\( 1 - 2584 T + 4482338 T^{2} - 3668910488 T^{3} + 2015993900449 T^{4} \))(\( 1 - 216 T + 1771810 T^{2} - 306689112 T^{3} + 2015993900449 T^{4} \))(\( 1 - 36 T + 3288099 T^{2} - 74129672 T^{3} + 4668630381843 T^{4} - 72575780416164 T^{5} + 2862423051509815793 T^{6} \))(\( 1 + 36 T + 3288099 T^{2} + 74129672 T^{3} + 4668630381843 T^{4} + 72575780416164 T^{5} + 2862423051509815793 T^{6} \))(\( ( 1 - 1419857 T^{2} )^{2} \))(\( ( 1 - 1419857 T^{2} )^{2} \))(\( ( 1 - 2699314 T^{2} + 2015993900449 T^{4} )^{2} \))(\( ( 1 - 1424770 T^{2} + 2015993900449 T^{4} )^{2} \))(\( ( 1 + 1148908 T^{2} + 3028720445286 T^{4} + 2316191520177059692 T^{6} + \)\(40\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 + 73156 T^{2} - 2139692284218 T^{4} + 147482049781247044 T^{6} + \)\(40\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 - 6655098 T^{2} + 19907859409647 T^{4} - 35423313401247997804 T^{6} + \)\(40\!\cdots\!03\)\( T^{8} - \)\(27\!\cdots\!98\)\( T^{10} + \)\(81\!\cdots\!49\)\( T^{12} )^{2} \))(\( ( 1 + 492 T + 991654 T^{2} + 698569644 T^{3} + 2015993900449 T^{4} )^{2} \))(\( ( 1 + 1449 T + 3759531 T^{2} + 3184553142 T^{3} + 5337996407067 T^{4} + 2921175161750601 T^{5} + 2862423051509815793 T^{6} )^{2} \))(\( ( 1 - 2178 T + 4502417 T^{2} - 6473305458 T^{3} + 7835841277908 T^{4} - 9191168067679506 T^{5} + 9076845209277885233 T^{6} - \)\(62\!\cdots\!54\)\( T^{7} + \)\(40\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 + 1140 T + 4980550 T^{2} + 3443850354 T^{3} + 10068870522169 T^{4} + 5069379208548852 T^{5} + 14296356292995309833 T^{6} + \)\(69\!\cdots\!46\)\( T^{7} + \)\(14\!\cdots\!50\)\( T^{8} + \)\(46\!\cdots\!40\)\( T^{9} + \)\(57\!\cdots\!57\)\( T^{10} )^{2} \))(\( ( 1 - 680 T + 5575556 T^{2} - 4650824578 T^{3} + 14317451937038 T^{4} - 15537252897814160 T^{5} + 24941954641724178845 T^{6} - \)\(29\!\cdots\!52\)\( T^{7} + \)\(35\!\cdots\!65\)\( T^{8} - \)\(31\!\cdots\!40\)\( T^{9} + \)\(40\!\cdots\!34\)\( T^{10} - \)\(18\!\cdots\!78\)\( T^{11} + \)\(32\!\cdots\!92\)\( T^{12} - \)\(55\!\cdots\!20\)\( T^{13} + \)\(11\!\cdots\!93\)\( T^{14} )^{2} \))(\( ( 1 + 277 T + 4457165 T^{2} + 28004106 T^{3} + 10361936287448 T^{4} - 2191806006139228 T^{5} + 19212285035261150395 T^{6} - \)\(42\!\cdots\!75\)\( T^{7} + \)\(30\!\cdots\!06\)\( T^{8} - \)\(59\!\cdots\!75\)\( T^{9} + \)\(38\!\cdots\!55\)\( T^{10} - \)\(62\!\cdots\!04\)\( T^{11} + \)\(42\!\cdots\!48\)\( T^{12} + \)\(16\!\cdots\!42\)\( T^{13} + \)\(36\!\cdots\!85\)\( T^{14} + \)\(32\!\cdots\!61\)\( T^{15} + \)\(16\!\cdots\!01\)\( T^{16} )^{2} \))(\( 1 - 13601803 T^{2} + 94498838889175 T^{4} - \)\(44\!\cdots\!96\)\( T^{6} + \)\(16\!\cdots\!47\)\( T^{8} - \)\(48\!\cdots\!23\)\( T^{10} + \)\(12\!\cdots\!20\)\( T^{12} - \)\(26\!\cdots\!77\)\( T^{14} + \)\(50\!\cdots\!72\)\( T^{16} - \)\(85\!\cdots\!69\)\( T^{18} + \)\(12\!\cdots\!42\)\( T^{20} - \)\(17\!\cdots\!81\)\( T^{22} + \)\(20\!\cdots\!72\)\( T^{24} - \)\(21\!\cdots\!73\)\( T^{26} + \)\(20\!\cdots\!20\)\( T^{28} - \)\(16\!\cdots\!27\)\( T^{30} + \)\(10\!\cdots\!47\)\( T^{32} - \)\(60\!\cdots\!04\)\( T^{34} + \)\(25\!\cdots\!75\)\( T^{36} - \)\(74\!\cdots\!47\)\( T^{38} + \)\(11\!\cdots\!01\)\( T^{40} \))(\( 1 - 13601803 T^{2} + 94498838889175 T^{4} - \)\(44\!\cdots\!96\)\( T^{6} + \)\(16\!\cdots\!47\)\( T^{8} - \)\(48\!\cdots\!23\)\( T^{10} + \)\(12\!\cdots\!20\)\( T^{12} - \)\(26\!\cdots\!77\)\( T^{14} + \)\(50\!\cdots\!72\)\( T^{16} - \)\(85\!\cdots\!69\)\( T^{18} + \)\(12\!\cdots\!42\)\( T^{20} - \)\(17\!\cdots\!81\)\( T^{22} + \)\(20\!\cdots\!72\)\( T^{24} - \)\(21\!\cdots\!73\)\( T^{26} + \)\(20\!\cdots\!20\)\( T^{28} - \)\(16\!\cdots\!27\)\( T^{30} + \)\(10\!\cdots\!47\)\( T^{32} - \)\(60\!\cdots\!04\)\( T^{34} + \)\(25\!\cdots\!75\)\( T^{36} - \)\(74\!\cdots\!47\)\( T^{38} + \)\(11\!\cdots\!01\)\( T^{40} \))(\( ( 1 - 5722616 T^{2} + 14718983422638 T^{4} - 21774377046715262298 T^{6} + \)\(21\!\cdots\!29\)\( T^{8} - \)\(23\!\cdots\!60\)\( T^{10} + \)\(44\!\cdots\!21\)\( T^{12} - \)\(88\!\cdots\!98\)\( T^{14} + \)\(12\!\cdots\!62\)\( T^{16} - \)\(94\!\cdots\!16\)\( T^{18} + \)\(33\!\cdots\!49\)\( T^{20} )^{2} \))
$19$ (\( 1 - 79 T + 2476099 T^{2} \))(\( 1 + 2882 T + 2476099 T^{2} \))(\( 1 - 250 T + 2476099 T^{2} \))(\( 1 - 2617 T + 2476099 T^{2} \))(\( 1 - 1711 T + 2476099 T^{2} \))(\( 1 + 3143 T + 2476099 T^{2} \))(\( 1 - 2617 T + 2476099 T^{2} \))(\( 1 - 250 T + 2476099 T^{2} \))(\( 1 + 2882 T + 2476099 T^{2} \))(\( 1 - 79 T + 2476099 T^{2} \))(\( 1 - 2840 T + 6522450 T^{2} - 7032121160 T^{3} + 6131066257801 T^{4} \))(\( 1 + 1924 T + 4172682 T^{2} + 4764014476 T^{3} + 6131066257801 T^{4} \))(\( 1 - 62 T + 4757319 T^{2} - 153518138 T^{3} + 6131066257801 T^{4} \))(\( 1 - 56 T + 2236818 T^{2} - 138661544 T^{3} + 6131066257801 T^{4} \))(\( ( 1 + 1361 T + 2476099 T^{2} )^{2} \))(\( ( 1 + 1799 T + 2476099 T^{2} )^{2} \))(\( 1 - 632 T + 4932498 T^{2} - 1564894568 T^{3} + 6131066257801 T^{4} \))(\( 1 - 632 T + 4932498 T^{2} - 1564894568 T^{3} + 6131066257801 T^{4} \))(\( 1 - 56 T + 2236818 T^{2} - 138661544 T^{3} + 6131066257801 T^{4} \))(\( 1 - 62 T + 4757319 T^{2} - 153518138 T^{3} + 6131066257801 T^{4} \))(\( 1 + 1924 T + 4172682 T^{2} + 4764014476 T^{3} + 6131066257801 T^{4} \))(\( 1 - 2840 T + 6522450 T^{2} - 7032121160 T^{3} + 6131066257801 T^{4} \))(\( 1 - 747 T + 4321116 T^{2} - 3289385131 T^{3} + 10699511006484 T^{4} - 4579906494577347 T^{5} + 15181127029874798299 T^{6} \))(\( 1 - 747 T + 4321116 T^{2} - 3289385131 T^{3} + 10699511006484 T^{4} - 4579906494577347 T^{5} + 15181127029874798299 T^{6} \))(\( ( 1 - 1711 T + 2476099 T^{2} )( 1 + 1711 T + 2476099 T^{2} ) \))(\( ( 1 - 3143 T + 2476099 T^{2} )( 1 + 3143 T + 2476099 T^{2} ) \))(\( ( 1 - 4808315 T^{2} + 6131066257801 T^{4} )^{2} \))(\( ( 1 - 4156523 T^{2} + 6131066257801 T^{4} )^{2} \))(\( ( 1 + 851546 T^{2} + 11411884839099 T^{4} + 5220884947565410346 T^{6} + \)\(37\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 + 3982676 T^{2} + 13081249106934 T^{4} + 24418050439353855476 T^{6} + \)\(37\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 - 11752386 T^{2} + 62933833664583 T^{4} - \)\(19\!\cdots\!72\)\( T^{6} + \)\(38\!\cdots\!83\)\( T^{8} - \)\(44\!\cdots\!86\)\( T^{10} + \)\(23\!\cdots\!01\)\( T^{12} )^{2} \))(\( ( 1 - 1640 T + 2303382 T^{2} - 4060802360 T^{3} + 6131066257801 T^{4} )^{2} \))(\( ( 1 + 1131 T + 5928369 T^{2} + 5953391858 T^{3} + 14679228552531 T^{4} + 6934235937572931 T^{5} + 15181127029874798299 T^{6} )^{2} \))(\( ( 1 + 476 T + 5379895 T^{2} + 1785507140 T^{3} + 16120413258280 T^{4} + 4421092443846860 T^{5} + 32984492705012310895 T^{6} + \)\(72\!\cdots\!24\)\( T^{7} + \)\(37\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 - 416 T + 5046258 T^{2} - 6215761044 T^{3} + 20272296121125 T^{4} - 15898268281316088 T^{5} + 50196212153221491375 T^{6} - \)\(38\!\cdots\!44\)\( T^{7} + \)\(76\!\cdots\!42\)\( T^{8} - \)\(15\!\cdots\!16\)\( T^{9} + \)\(93\!\cdots\!99\)\( T^{10} )^{2} \))(\( ( 1 + 884 T + 7442692 T^{2} + 897057820 T^{3} + 25796998037726 T^{4} - 13937022580183268 T^{5} + 60547133087281518999 T^{6} - \)\(65\!\cdots\!88\)\( T^{7} + \)\(14\!\cdots\!01\)\( T^{8} - \)\(85\!\cdots\!68\)\( T^{9} + \)\(39\!\cdots\!74\)\( T^{10} + \)\(33\!\cdots\!20\)\( T^{11} + \)\(69\!\cdots\!08\)\( T^{12} + \)\(20\!\cdots\!84\)\( T^{13} + \)\(57\!\cdots\!99\)\( T^{14} )^{2} \))(\( ( 1 - 437 T + 12400611 T^{2} + 1289091140 T^{3} + 65043737194094 T^{4} + 47486032667071602 T^{5} + \)\(20\!\cdots\!77\)\( T^{6} + \)\(26\!\cdots\!73\)\( T^{7} + \)\(51\!\cdots\!34\)\( T^{8} + \)\(66\!\cdots\!27\)\( T^{9} + \)\(12\!\cdots\!77\)\( T^{10} + \)\(72\!\cdots\!98\)\( T^{11} + \)\(24\!\cdots\!94\)\( T^{12} + \)\(11\!\cdots\!60\)\( T^{13} + \)\(28\!\cdots\!11\)\( T^{14} - \)\(24\!\cdots\!63\)\( T^{15} + \)\(14\!\cdots\!01\)\( T^{16} )^{2} \))(\( 1 - 25799327 T^{2} + 345881026531855 T^{4} - \)\(31\!\cdots\!92\)\( T^{6} + \)\(22\!\cdots\!87\)\( T^{8} - \)\(12\!\cdots\!47\)\( T^{10} + \)\(57\!\cdots\!68\)\( T^{12} - \)\(22\!\cdots\!81\)\( T^{14} + \)\(79\!\cdots\!04\)\( T^{16} - \)\(23\!\cdots\!21\)\( T^{18} + \)\(62\!\cdots\!78\)\( T^{20} - \)\(14\!\cdots\!21\)\( T^{22} + \)\(29\!\cdots\!04\)\( T^{24} - \)\(52\!\cdots\!81\)\( T^{26} + \)\(81\!\cdots\!68\)\( T^{28} - \)\(10\!\cdots\!47\)\( T^{30} + \)\(11\!\cdots\!87\)\( T^{32} - \)\(10\!\cdots\!92\)\( T^{34} + \)\(69\!\cdots\!55\)\( T^{36} - \)\(31\!\cdots\!27\)\( T^{38} + \)\(75\!\cdots\!01\)\( T^{40} \))(\( 1 - 25799327 T^{2} + 345881026531855 T^{4} - \)\(31\!\cdots\!92\)\( T^{6} + \)\(22\!\cdots\!87\)\( T^{8} - \)\(12\!\cdots\!47\)\( T^{10} + \)\(57\!\cdots\!68\)\( T^{12} - \)\(22\!\cdots\!81\)\( T^{14} + \)\(79\!\cdots\!04\)\( T^{16} - \)\(23\!\cdots\!21\)\( T^{18} + \)\(62\!\cdots\!78\)\( T^{20} - \)\(14\!\cdots\!21\)\( T^{22} + \)\(29\!\cdots\!04\)\( T^{24} - \)\(52\!\cdots\!81\)\( T^{26} + \)\(81\!\cdots\!68\)\( T^{28} - \)\(10\!\cdots\!47\)\( T^{30} + \)\(11\!\cdots\!87\)\( T^{32} - \)\(10\!\cdots\!92\)\( T^{34} + \)\(69\!\cdots\!55\)\( T^{36} - \)\(31\!\cdots\!27\)\( T^{38} + \)\(75\!\cdots\!01\)\( T^{40} \))(\( ( 1 - 11319724 T^{2} + 56857743699894 T^{4} - \)\(16\!\cdots\!50\)\( T^{6} + \)\(28\!\cdots\!49\)\( T^{8} - \)\(51\!\cdots\!60\)\( T^{10} + \)\(17\!\cdots\!49\)\( T^{12} - \)\(60\!\cdots\!50\)\( T^{14} + \)\(13\!\cdots\!94\)\( T^{16} - \)\(15\!\cdots\!24\)\( T^{18} + \)\(86\!\cdots\!01\)\( T^{20} )^{2} \))
$23$ (\( 1 + 564 T + 6436343 T^{2} \))(\( 1 + 4386 T + 6436343 T^{2} \))(\( 1 + 2830 T + 6436343 T^{2} \))(\( 1 - 1752 T + 6436343 T^{2} \))(\( 1 + 6436343 T^{2} \))(\( 1 + 6436343 T^{2} \))(\( 1 + 1752 T + 6436343 T^{2} \))(\( 1 - 2830 T + 6436343 T^{2} \))(\( 1 - 4386 T + 6436343 T^{2} \))(\( 1 - 564 T + 6436343 T^{2} \))(\( 1 + 36 T + 12811810 T^{2} + 231708348 T^{3} + 41426511213649 T^{4} \))(\( 1 + 4876 T + 17511170 T^{2} + 31383608468 T^{3} + 41426511213649 T^{4} \))(\( 1 - 2308 T + 12585662 T^{2} - 14855079644 T^{3} + 41426511213649 T^{4} \))(\( 1 - 1028 T + 11210738 T^{2} - 6616560604 T^{3} + 41426511213649 T^{4} \))(\( 1 + 7063150 T^{2} + 41426511213649 T^{4} \))(\( 1 - 198770 T^{2} + 41426511213649 T^{4} \))(\( 1 + 6804 T + 24393154 T^{2} + 43792877772 T^{3} + 41426511213649 T^{4} \))(\( 1 - 6804 T + 24393154 T^{2} - 43792877772 T^{3} + 41426511213649 T^{4} \))(\( 1 + 1028 T + 11210738 T^{2} + 6616560604 T^{3} + 41426511213649 T^{4} \))(\( 1 + 2308 T + 12585662 T^{2} + 14855079644 T^{3} + 41426511213649 T^{4} \))(\( 1 - 4876 T + 17511170 T^{2} - 31383608468 T^{3} + 41426511213649 T^{4} \))(\( 1 - 36 T + 12811810 T^{2} - 231708348 T^{3} + 41426511213649 T^{4} \))(\( 1 + 2940 T - 22251 T^{2} - 22604736248 T^{3} - 143215068093 T^{4} + 121793942968128060 T^{5} + \)\(26\!\cdots\!07\)\( T^{6} \))(\( 1 - 2940 T - 22251 T^{2} + 22604736248 T^{3} - 143215068093 T^{4} - 121793942968128060 T^{5} + \)\(26\!\cdots\!07\)\( T^{6} \))(\( ( 1 + 6436343 T^{2} )^{2} \))(\( ( 1 + 6436343 T^{2} )^{2} \))(\( ( 1 - 5474786 T^{2} + 41426511213649 T^{4} )^{2} \))(\( ( 1 + 9567886 T^{2} + 41426511213649 T^{4} )^{2} \))(\( ( 1 + 1783628 T^{2} + 83416342141446 T^{4} + 73889485342978338572 T^{6} + \)\(17\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 + 4921244 T^{2} + 76188199669350 T^{4} + \)\(20\!\cdots\!56\)\( T^{6} + \)\(17\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 + 22132938 T^{2} + 241939992985791 T^{4} + \)\(17\!\cdots\!16\)\( T^{6} + \)\(10\!\cdots\!59\)\( T^{8} + \)\(37\!\cdots\!38\)\( T^{10} + \)\(71\!\cdots\!49\)\( T^{12} )^{2} \))(\( 1 + 5538 T + 10264397 T^{2} + 41714215218 T^{3} + 177540370655268 T^{4} + 268486997118867774 T^{5} + \)\(42\!\cdots\!53\)\( T^{6} + \)\(14\!\cdots\!66\)\( T^{7} + \)\(17\!\cdots\!01\)\( T^{8} \))(\( 1 + 3168 T - 11449086 T^{2} - 14347077444 T^{3} + 192790258568754 T^{4} + 140383346504289372 T^{5} - \)\(11\!\cdots\!18\)\( T^{6} + \)\(90\!\cdots\!96\)\( T^{7} + \)\(79\!\cdots\!46\)\( T^{8} - \)\(38\!\cdots\!08\)\( T^{9} - \)\(19\!\cdots\!86\)\( T^{10} + \)\(34\!\cdots\!24\)\( T^{11} + \)\(71\!\cdots\!49\)\( T^{12} \))(\( 1 - 8844 T + 29643313 T^{2} - 58247545548 T^{3} + 172348926961837 T^{4} - 574153269020383320 T^{5} + \)\(14\!\cdots\!02\)\( T^{6} - \)\(52\!\cdots\!88\)\( T^{7} + \)\(17\!\cdots\!06\)\( T^{8} - \)\(33\!\cdots\!84\)\( T^{9} + \)\(60\!\cdots\!98\)\( T^{10} - \)\(15\!\cdots\!40\)\( T^{11} + \)\(29\!\cdots\!37\)\( T^{12} - \)\(64\!\cdots\!64\)\( T^{13} + \)\(21\!\cdots\!37\)\( T^{14} - \)\(40\!\cdots\!08\)\( T^{15} + \)\(29\!\cdots\!01\)\( T^{16} \))(\( 1 - 399 T - 16077241 T^{2} - 38108825820 T^{3} + 155650662506976 T^{4} + 562944417983120520 T^{5} - 48522958516353490863 T^{6} - \)\(48\!\cdots\!51\)\( T^{7} - \)\(71\!\cdots\!41\)\( T^{8} + \)\(11\!\cdots\!52\)\( T^{9} + \)\(81\!\cdots\!80\)\( T^{10} + \)\(74\!\cdots\!36\)\( T^{11} - \)\(29\!\cdots\!09\)\( T^{12} - \)\(12\!\cdots\!57\)\( T^{13} - \)\(83\!\cdots\!63\)\( T^{14} + \)\(62\!\cdots\!60\)\( T^{15} + \)\(11\!\cdots\!24\)\( T^{16} - \)\(17\!\cdots\!40\)\( T^{17} - \)\(47\!\cdots\!41\)\( T^{18} - \)\(75\!\cdots\!57\)\( T^{19} + \)\(12\!\cdots\!49\)\( T^{20} \))(\( 1 - 2503 T - 11606062 T^{2} + 65361494759 T^{3} + 1401913886037 T^{4} - 570601291483651060 T^{5} + \)\(16\!\cdots\!72\)\( T^{6} + \)\(65\!\cdots\!36\)\( T^{7} - \)\(16\!\cdots\!68\)\( T^{8} + \)\(42\!\cdots\!28\)\( T^{9} + \)\(49\!\cdots\!08\)\( T^{10} - \)\(41\!\cdots\!32\)\( T^{11} + \)\(62\!\cdots\!34\)\( T^{12} + \)\(13\!\cdots\!54\)\( T^{13} - \)\(68\!\cdots\!68\)\( T^{14} + \)\(90\!\cdots\!22\)\( T^{15} + \)\(25\!\cdots\!66\)\( T^{16} - \)\(11\!\cdots\!24\)\( T^{17} + \)\(84\!\cdots\!08\)\( T^{18} + \)\(46\!\cdots\!04\)\( T^{19} - \)\(11\!\cdots\!32\)\( T^{20} + \)\(30\!\cdots\!52\)\( T^{21} + \)\(48\!\cdots\!72\)\( T^{22} - \)\(10\!\cdots\!80\)\( T^{23} + \)\(17\!\cdots\!13\)\( T^{24} + \)\(51\!\cdots\!13\)\( T^{25} - \)\(58\!\cdots\!62\)\( T^{26} - \)\(81\!\cdots\!29\)\( T^{27} + \)\(20\!\cdots\!49\)\( T^{28} \))(\( 1 - 133 T - 32014591 T^{2} - 33173095682 T^{3} + 531881681603900 T^{4} + 1020363968296714982 T^{5} - \)\(56\!\cdots\!27\)\( T^{6} - \)\(15\!\cdots\!95\)\( T^{7} + \)\(42\!\cdots\!41\)\( T^{8} + \)\(16\!\cdots\!84\)\( T^{9} - \)\(21\!\cdots\!08\)\( T^{10} - \)\(12\!\cdots\!92\)\( T^{11} + \)\(51\!\cdots\!78\)\( T^{12} + \)\(65\!\cdots\!46\)\( T^{13} + \)\(28\!\cdots\!54\)\( T^{14} - \)\(16\!\cdots\!16\)\( T^{15} - \)\(35\!\cdots\!20\)\( T^{16} - \)\(10\!\cdots\!88\)\( T^{17} + \)\(11\!\cdots\!46\)\( T^{18} + \)\(17\!\cdots\!22\)\( T^{19} + \)\(88\!\cdots\!78\)\( T^{20} - \)\(13\!\cdots\!56\)\( T^{21} - \)\(15\!\cdots\!92\)\( T^{22} + \)\(73\!\cdots\!88\)\( T^{23} + \)\(12\!\cdots\!41\)\( T^{24} - \)\(29\!\cdots\!85\)\( T^{25} - \)\(68\!\cdots\!23\)\( T^{26} + \)\(80\!\cdots\!74\)\( T^{27} + \)\(26\!\cdots\!00\)\( T^{28} - \)\(10\!\cdots\!26\)\( T^{29} - \)\(67\!\cdots\!59\)\( T^{30} - \)\(17\!\cdots\!31\)\( T^{31} + \)\(86\!\cdots\!01\)\( T^{32} \))(\( 1 + 99 T - 30187910 T^{2} + 11196555597 T^{3} + 417963189251533 T^{4} - 417877890282673452 T^{5} - \)\(37\!\cdots\!98\)\( T^{6} + \)\(70\!\cdots\!06\)\( T^{7} + \)\(27\!\cdots\!24\)\( T^{8} - \)\(81\!\cdots\!50\)\( T^{9} - \)\(14\!\cdots\!54\)\( T^{10} + \)\(71\!\cdots\!20\)\( T^{11} + \)\(35\!\cdots\!43\)\( T^{12} - \)\(48\!\cdots\!87\)\( T^{13} + \)\(26\!\cdots\!02\)\( T^{14} + \)\(26\!\cdots\!31\)\( T^{15} - \)\(42\!\cdots\!45\)\( T^{16} - \)\(11\!\cdots\!84\)\( T^{17} + \)\(38\!\cdots\!28\)\( T^{18} + \)\(28\!\cdots\!20\)\( T^{19} - \)\(27\!\cdots\!60\)\( T^{20} + \)\(18\!\cdots\!60\)\( T^{21} + \)\(15\!\cdots\!72\)\( T^{22} - \)\(31\!\cdots\!88\)\( T^{23} - \)\(73\!\cdots\!45\)\( T^{24} + \)\(29\!\cdots\!33\)\( T^{25} + \)\(19\!\cdots\!98\)\( T^{26} - \)\(22\!\cdots\!09\)\( T^{27} + \)\(10\!\cdots\!43\)\( T^{28} + \)\(13\!\cdots\!60\)\( T^{29} - \)\(17\!\cdots\!46\)\( T^{30} - \)\(63\!\cdots\!50\)\( T^{31} + \)\(13\!\cdots\!24\)\( T^{32} + \)\(23\!\cdots\!58\)\( T^{33} - \)\(79\!\cdots\!02\)\( T^{34} - \)\(56\!\cdots\!64\)\( T^{35} + \)\(36\!\cdots\!33\)\( T^{36} + \)\(62\!\cdots\!71\)\( T^{37} - \)\(10\!\cdots\!90\)\( T^{38} + \)\(22\!\cdots\!93\)\( T^{39} + \)\(14\!\cdots\!01\)\( T^{40} \))(\( 1 - 99 T - 30187910 T^{2} - 11196555597 T^{3} + 417963189251533 T^{4} + 417877890282673452 T^{5} - \)\(37\!\cdots\!98\)\( T^{6} - \)\(70\!\cdots\!06\)\( T^{7} + \)\(27\!\cdots\!24\)\( T^{8} + \)\(81\!\cdots\!50\)\( T^{9} - \)\(14\!\cdots\!54\)\( T^{10} - \)\(71\!\cdots\!20\)\( T^{11} + \)\(35\!\cdots\!43\)\( T^{12} + \)\(48\!\cdots\!87\)\( T^{13} + \)\(26\!\cdots\!02\)\( T^{14} - \)\(26\!\cdots\!31\)\( T^{15} - \)\(42\!\cdots\!45\)\( T^{16} + \)\(11\!\cdots\!84\)\( T^{17} + \)\(38\!\cdots\!28\)\( T^{18} - \)\(28\!\cdots\!20\)\( T^{19} - \)\(27\!\cdots\!60\)\( T^{20} - \)\(18\!\cdots\!60\)\( T^{21} + \)\(15\!\cdots\!72\)\( T^{22} + \)\(31\!\cdots\!88\)\( T^{23} - \)\(73\!\cdots\!45\)\( T^{24} - \)\(29\!\cdots\!33\)\( T^{25} + \)\(19\!\cdots\!98\)\( T^{26} + \)\(22\!\cdots\!09\)\( T^{27} + \)\(10\!\cdots\!43\)\( T^{28} - \)\(13\!\cdots\!60\)\( T^{29} - \)\(17\!\cdots\!46\)\( T^{30} + \)\(63\!\cdots\!50\)\( T^{31} + \)\(13\!\cdots\!24\)\( T^{32} - \)\(23\!\cdots\!58\)\( T^{33} - \)\(79\!\cdots\!02\)\( T^{34} + \)\(56\!\cdots\!64\)\( T^{35} + \)\(36\!\cdots\!33\)\( T^{36} - \)\(62\!\cdots\!71\)\( T^{37} - \)\(10\!\cdots\!90\)\( T^{38} - \)\(22\!\cdots\!93\)\( T^{39} + \)\(14\!\cdots\!01\)\( T^{40} \))(\( 1 - 27240833 T^{2} + 314910594205141 T^{4} - \)\(19\!\cdots\!10\)\( T^{6} + \)\(83\!\cdots\!02\)\( T^{8} - \)\(47\!\cdots\!14\)\( T^{10} + \)\(44\!\cdots\!47\)\( T^{12} - \)\(33\!\cdots\!47\)\( T^{14} + \)\(17\!\cdots\!31\)\( T^{16} - \)\(49\!\cdots\!24\)\( T^{18} + \)\(10\!\cdots\!52\)\( T^{20} - \)\(20\!\cdots\!76\)\( T^{22} + \)\(29\!\cdots\!31\)\( T^{24} - \)\(24\!\cdots\!03\)\( T^{26} + \)\(13\!\cdots\!47\)\( T^{28} - \)\(58\!\cdots\!86\)\( T^{30} + \)\(42\!\cdots\!02\)\( T^{32} - \)\(41\!\cdots\!90\)\( T^{34} + \)\(27\!\cdots\!41\)\( T^{36} - \)\(97\!\cdots\!17\)\( T^{38} + \)\(14\!\cdots\!01\)\( T^{40} \))
$29$ (\( 1 + 6432 T + 20511149 T^{2} \))(\( 1 + 1866 T + 20511149 T^{2} \))(\( 1 - 1542 T + 20511149 T^{2} \))(\( 1 - 7296 T + 20511149 T^{2} \))(\( 1 + 20511149 T^{2} \))(\( 1 + 20511149 T^{2} \))(\( 1 + 7296 T + 20511149 T^{2} \))(\( 1 + 1542 T + 20511149 T^{2} \))(\( 1 - 1866 T + 20511149 T^{2} \))(\( 1 - 6432 T + 20511149 T^{2} \))(\( 1 + 12240 T + 77345110 T^{2} + 251056463760 T^{3} + 420707233300201 T^{4} \))(\( 1 - 1548 T + 30965374 T^{2} - 31751258652 T^{3} + 420707233300201 T^{4} \))(\( 1 + 2400 T + 18765658 T^{2} + 49226757600 T^{3} + 420707233300201 T^{4} \))(\( 1 + 144 T + 27115606 T^{2} + 2953605456 T^{3} + 420707233300201 T^{4} \))(\( 1 + 40801114 T^{2} + 420707233300201 T^{4} \))(\( 1 + 39031642 T^{2} + 420707233300201 T^{4} \))(\( 1 - 11664 T + 70238998 T^{2} - 239242041936 T^{3} + 420707233300201 T^{4} \))(\( 1 + 11664 T + 70238998 T^{2} + 239242041936 T^{3} + 420707233300201 T^{4} \))(\( 1 - 144 T + 27115606 T^{2} - 2953605456 T^{3} + 420707233300201 T^{4} \))(\( 1 - 2400 T + 18765658 T^{2} - 49226757600 T^{3} + 420707233300201 T^{4} \))(\( 1 + 1548 T + 30965374 T^{2} + 31751258652 T^{3} + 420707233300201 T^{4} \))(\( 1 - 12240 T + 77345110 T^{2} - 251056463760 T^{3} + 420707233300201 T^{4} \))(\( 1 - 7104 T + 63855879 T^{2} - 286220157312 T^{3} + 1309757448694971 T^{4} - 2988704185364627904 T^{5} + \)\(86\!\cdots\!49\)\( T^{6} \))(\( 1 + 7104 T + 63855879 T^{2} + 286220157312 T^{3} + 1309757448694971 T^{4} + 2988704185364627904 T^{5} + \)\(86\!\cdots\!49\)\( T^{6} \))(\( ( 1 - 20511149 T^{2} )^{2} \))(\( ( 1 - 20511149 T^{2} )^{2} \))(\( ( 1 - 34530202 T^{2} + 420707233300201 T^{4} )^{2} \))(\( ( 1 - 4811482 T^{2} + 420707233300201 T^{4} )^{2} \))(\( ( 1 + 20982796 T^{2} + 824529099457014 T^{4} + \)\(88\!\cdots\!96\)\( T^{6} + \)\(17\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 - 55243244 T^{2} + 1594398109678134 T^{4} - \)\(23\!\cdots\!44\)\( T^{6} + \)\(17\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 - 96862242 T^{2} + 4352319705812199 T^{4} - \)\(11\!\cdots\!16\)\( T^{6} + \)\(18\!\cdots\!99\)\( T^{8} - \)\(17\!\cdots\!42\)\( T^{10} + \)\(74\!\cdots\!01\)\( T^{12} )^{2} \))(\( 1 - 3894 T - 26328655 T^{2} - 1828595142 T^{3} + 989854392537516 T^{4} - 37506587418238158 T^{5} - \)\(11\!\cdots\!55\)\( T^{6} - \)\(33\!\cdots\!06\)\( T^{7} + \)\(17\!\cdots\!01\)\( T^{8} \))(\( 1 - 5148 T - 22104564 T^{2} + 185150934252 T^{3} + 244953744801108 T^{4} - 2482021182847364820 T^{5} + \)\(50\!\cdots\!82\)\( T^{6} - \)\(50\!\cdots\!80\)\( T^{7} + \)\(10\!\cdots\!08\)\( T^{8} + \)\(15\!\cdots\!48\)\( T^{9} - \)\(39\!\cdots\!64\)\( T^{10} - \)\(18\!\cdots\!52\)\( T^{11} + \)\(74\!\cdots\!01\)\( T^{12} \))(\( 1 + 12018 T + 15291415 T^{2} - 58796364810 T^{3} + 2512265879646529 T^{4} + 12711396421291774644 T^{5} - \)\(20\!\cdots\!74\)\( T^{6} + \)\(10\!\cdots\!36\)\( T^{7} + \)\(21\!\cdots\!82\)\( T^{8} + \)\(21\!\cdots\!64\)\( T^{9} - \)\(86\!\cdots\!74\)\( T^{10} + \)\(10\!\cdots\!56\)\( T^{11} + \)\(44\!\cdots\!29\)\( T^{12} - \)\(21\!\cdots\!90\)\( T^{13} + \)\(11\!\cdots\!15\)\( T^{14} + \)\(18\!\cdots\!82\)\( T^{15} + \)\(31\!\cdots\!01\)\( T^{16} \))(\( 1 - 6033 T + 3652157 T^{2} - 31641196734 T^{3} + 283528398607854 T^{4} - 668469168127712358 T^{5} + \)\(64\!\cdots\!39\)\( T^{6} - \)\(82\!\cdots\!55\)\( T^{7} - \)\(90\!\cdots\!17\)\( T^{8} - \)\(14\!\cdots\!60\)\( T^{9} + \)\(58\!\cdots\!16\)\( T^{10} - \)\(29\!\cdots\!40\)\( T^{11} - \)\(38\!\cdots\!17\)\( T^{12} - \)\(71\!\cdots\!95\)\( T^{13} + \)\(11\!\cdots\!39\)\( T^{14} - \)\(24\!\cdots\!42\)\( T^{15} + \)\(21\!\cdots\!54\)\( T^{16} - \)\(48\!\cdots\!66\)\( T^{17} + \)\(11\!\cdots\!57\)\( T^{18} - \)\(38\!\cdots\!17\)\( T^{19} + \)\(13\!\cdots\!01\)\( T^{20} \))(\( 1 + 165 T - 98986676 T^{2} + 155484594393 T^{3} + 5359192977256801 T^{4} - 14410108625728925088 T^{5} - \)\(18\!\cdots\!24\)\( T^{6} + \)\(72\!\cdots\!60\)\( T^{7} + \)\(43\!\cdots\!24\)\( T^{8} - \)\(22\!\cdots\!20\)\( T^{9} - \)\(64\!\cdots\!56\)\( T^{10} + \)\(44\!\cdots\!72\)\( T^{11} + \)\(50\!\cdots\!38\)\( T^{12} - \)\(37\!\cdots\!62\)\( T^{13} - \)\(16\!\cdots\!16\)\( T^{14} - \)\(77\!\cdots\!38\)\( T^{15} + \)\(21\!\cdots\!38\)\( T^{16} + \)\(38\!\cdots\!28\)\( T^{17} - \)\(11\!\cdots\!56\)\( T^{18} - \)\(81\!\cdots\!80\)\( T^{19} + \)\(32\!\cdots\!24\)\( T^{20} + \)\(11\!\cdots\!40\)\( T^{21} - \)\(57\!\cdots\!24\)\( T^{22} - \)\(92\!\cdots\!12\)\( T^{23} + \)\(70\!\cdots\!01\)\( T^{24} + \)\(42\!\cdots\!57\)\( T^{25} - \)\(54\!\cdots\!76\)\( T^{26} + \)\(18\!\cdots\!85\)\( T^{27} + \)\(23\!\cdots\!01\)\( T^{28} \))(\( 1 - 1089 T - 54506731 T^{2} + 126985273830 T^{3} + 816212017726146 T^{4} - 2783742130150557714 T^{5} + \)\(15\!\cdots\!53\)\( T^{6} - \)\(92\!\cdots\!29\)\( T^{7} - \)\(39\!\cdots\!51\)\( T^{8} + \)\(45\!\cdots\!64\)\( T^{9} - \)\(11\!\cdots\!08\)\( T^{10} - \)\(10\!\cdots\!44\)\( T^{11} + \)\(45\!\cdots\!50\)\( T^{12} - \)\(25\!\cdots\!46\)\( T^{13} + \)\(11\!\cdots\!34\)\( T^{14} + \)\(35\!\cdots\!88\)\( T^{15} - \)\(15\!\cdots\!20\)\( T^{16} + \)\(73\!\cdots\!12\)\( T^{17} + \)\(48\!\cdots\!34\)\( T^{18} - \)\(21\!\cdots\!54\)\( T^{19} + \)\(79\!\cdots\!50\)\( T^{20} - \)\(39\!\cdots\!56\)\( T^{21} - \)\(88\!\cdots\!08\)\( T^{22} + \)\(70\!\cdots\!36\)\( T^{23} - \)\(12\!\cdots\!51\)\( T^{24} - \)\(59\!\cdots\!21\)\( T^{25} + \)\(20\!\cdots\!53\)\( T^{26} - \)\(75\!\cdots\!86\)\( T^{27} + \)\(45\!\cdots\!46\)\( T^{28} + \)\(14\!\cdots\!70\)\( T^{29} - \)\(12\!\cdots\!31\)\( T^{30} - \)\(52\!\cdots\!61\)\( T^{31} + \)\(98\!\cdots\!01\)\( T^{32} \))(\( 1 + 13191 T + 193595786 T^{2} + 1788633104169 T^{3} + 16159703356224295 T^{4} + \)\(11\!\cdots\!48\)\( T^{5} + \)\(74\!\cdots\!08\)\( T^{6} + \)\(39\!\cdots\!80\)\( T^{7} + \)\(19\!\cdots\!00\)\( T^{8} + \)\(65\!\cdots\!00\)\( T^{9} + \)\(14\!\cdots\!52\)\( T^{10} - \)\(51\!\cdots\!12\)\( T^{11} - \)\(72\!\cdots\!47\)\( T^{12} - \)\(52\!\cdots\!73\)\( T^{13} - \)\(25\!\cdots\!30\)\( T^{14} - \)\(95\!\cdots\!83\)\( T^{15} - \)\(16\!\cdots\!77\)\( T^{16} + \)\(83\!\cdots\!68\)\( T^{17} + \)\(11\!\cdots\!64\)\( T^{18} + \)\(76\!\cdots\!52\)\( T^{19} + \)\(38\!\cdots\!08\)\( T^{20} + \)\(15\!\cdots\!48\)\( T^{21} + \)\(47\!\cdots\!64\)\( T^{22} + \)\(71\!\cdots\!32\)\( T^{23} - \)\(30\!\cdots\!77\)\( T^{24} - \)\(34\!\cdots\!67\)\( T^{25} - \)\(19\!\cdots\!30\)\( T^{26} - \)\(80\!\cdots\!77\)\( T^{27} - \)\(22\!\cdots\!47\)\( T^{28} - \)\(33\!\cdots\!88\)\( T^{29} + \)\(19\!\cdots\!52\)\( T^{30} + \)\(17\!\cdots\!00\)\( T^{31} + \)\(10\!\cdots\!00\)\( T^{32} + \)\(44\!\cdots\!20\)\( T^{33} + \)\(17\!\cdots\!08\)\( T^{34} + \)\(53\!\cdots\!52\)\( T^{35} + \)\(15\!\cdots\!95\)\( T^{36} + \)\(36\!\cdots\!81\)\( T^{37} + \)\(79\!\cdots\!86\)\( T^{38} + \)\(11\!\cdots\!59\)\( T^{39} + \)\(17\!\cdots\!01\)\( T^{40} \))(\( 1 + 13191 T + 193595786 T^{2} + 1788633104169 T^{3} + 16159703356224295 T^{4} + \)\(11\!\cdots\!48\)\( T^{5} + \)\(74\!\cdots\!08\)\( T^{6} + \)\(39\!\cdots\!80\)\( T^{7} + \)\(19\!\cdots\!00\)\( T^{8} + \)\(65\!\cdots\!00\)\( T^{9} + \)\(14\!\cdots\!52\)\( T^{10} - \)\(51\!\cdots\!12\)\( T^{11} - \)\(72\!\cdots\!47\)\( T^{12} - \)\(52\!\cdots\!73\)\( T^{13} - \)\(25\!\cdots\!30\)\( T^{14} - \)\(95\!\cdots\!83\)\( T^{15} - \)\(16\!\cdots\!77\)\( T^{16} + \)\(83\!\cdots\!68\)\( T^{17} + \)\(11\!\cdots\!64\)\( T^{18} + \)\(76\!\cdots\!52\)\( T^{19} + \)\(38\!\cdots\!08\)\( T^{20} + \)\(15\!\cdots\!48\)\( T^{21} + \)\(47\!\cdots\!64\)\( T^{22} + \)\(71\!\cdots\!32\)\( T^{23} - \)\(30\!\cdots\!77\)\( T^{24} - \)\(34\!\cdots\!67\)\( T^{25} - \)\(19\!\cdots\!30\)\( T^{26} - \)\(80\!\cdots\!77\)\( T^{27} - \)\(22\!\cdots\!47\)\( T^{28} - \)\(33\!\cdots\!88\)\( T^{29} + \)\(19\!\cdots\!52\)\( T^{30} + \)\(17\!\cdots\!00\)\( T^{31} + \)\(10\!\cdots\!00\)\( T^{32} + \)\(44\!\cdots\!20\)\( T^{33} + \)\(17\!\cdots\!08\)\( T^{34} + \)\(53\!\cdots\!52\)\( T^{35} + \)\(15\!\cdots\!95\)\( T^{36} + \)\(36\!\cdots\!81\)\( T^{37} + \)\(79\!\cdots\!86\)\( T^{38} + \)\(11\!\cdots\!59\)\( T^{39} + \)\(17\!\cdots\!01\)\( T^{40} \))(\( ( 1 + 4719 T + 61433329 T^{2} + 254874803898 T^{3} + 1586928219405102 T^{4} + 4408131010564829886 T^{5} + \)\(22\!\cdots\!51\)\( T^{6} + \)\(38\!\cdots\!41\)\( T^{7} + \)\(32\!\cdots\!87\)\( T^{8} + \)\(11\!\cdots\!68\)\( T^{9} + \)\(66\!\cdots\!96\)\( T^{10} + \)\(23\!\cdots\!32\)\( T^{11} + \)\(13\!\cdots\!87\)\( T^{12} + \)\(33\!\cdots\!09\)\( T^{13} + \)\(40\!\cdots\!51\)\( T^{14} + \)\(16\!\cdots\!14\)\( T^{15} + \)\(11\!\cdots\!02\)\( T^{16} + \)\(38\!\cdots\!02\)\( T^{17} + \)\(19\!\cdots\!29\)\( T^{18} + \)\(30\!\cdots\!31\)\( T^{19} + \)\(13\!\cdots\!01\)\( T^{20} )^{2} \))
$31$ (\( 1 + 4940 T + 28629151 T^{2} \))(\( 1 - 3295 T + 28629151 T^{2} \))(\( 1 + 5747 T + 28629151 T^{2} \))(\( 1 + 2348 T + 28629151 T^{2} \))(\( 1 - 10324 T + 28629151 T^{2} \))(\( 1 - 10324 T + 28629151 T^{2} \))(\( 1 + 2348 T + 28629151 T^{2} \))(\( 1 + 5747 T + 28629151 T^{2} \))(\( 1 - 3295 T + 28629151 T^{2} \))(\( 1 + 4940 T + 28629151 T^{2} \))(\( 1 - 1064 T + 47118813 T^{2} - 30461416664 T^{3} + 819628286980801 T^{4} \))(\( 1 + 2806 T - 17023629 T^{2} + 80333397706 T^{3} + 819628286980801 T^{4} \))(\( 1 - 968 T + 33795918 T^{2} - 27713018168 T^{3} + 819628286980801 T^{4} \))(\( 1 - 8228 T + 59283897 T^{2} - 235560654428 T^{3} + 819628286980801 T^{4} \))(\( ( 1 + 3500 T + 28629151 T^{2} )^{2} \))(\( ( 1 + 5228 T + 28629151 T^{2} )^{2} \))(\( 1 + 3328 T + 38238117 T^{2} + 95277814528 T^{3} + 819628286980801 T^{4} \))(\( 1 + 3328 T + 38238117 T^{2} + 95277814528 T^{3} + 819628286980801 T^{4} \))(\( 1 - 8228 T + 59283897 T^{2} - 235560654428 T^{3} + 819628286980801 T^{4} \))(\( 1 - 968 T + 33795918 T^{2} - 27713018168 T^{3} + 819628286980801 T^{4} \))(\( 1 + 2806 T - 17023629 T^{2} + 80333397706 T^{3} + 819628286980801 T^{4} \))(\( 1 - 1064 T + 47118813 T^{2} - 30461416664 T^{3} + 819628286980801 T^{4} \))(\( 1 - 60 T + 73600653 T^{2} + 13297669688 T^{3} + 2107124208435603 T^{4} - 49177697218848060 T^{5} + \)\(23\!\cdots\!51\)\( T^{6} \))(\( 1 - 60 T + 73600653 T^{2} + 13297669688 T^{3} + 2107124208435603 T^{4} - 49177697218848060 T^{5} + \)\(23\!\cdots\!51\)\( T^{6} \))(\( ( 1 - 10324 T + 28629151 T^{2} )( 1 + 10324 T + 28629151 T^{2} ) \))(\( ( 1 - 10324 T + 28629151 T^{2} )( 1 + 10324 T + 28629151 T^{2} ) \))(\( ( 1 - 34702610 T^{2} + 819628286980801 T^{4} )^{2} \))(\( ( 1 - 57258194 T^{2} + 819628286980801 T^{4} )^{2} \))(\( ( 1 - 81872740 T^{2} + 3250417137092934 T^{4} - \)\(67\!\cdots\!40\)\( T^{6} + \)\(67\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 - 1826542 T^{2} + 728956686597891 T^{4} - \)\(14\!\cdots\!42\)\( T^{6} + \)\(67\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 - 88016289 T^{2} + 4941557716662798 T^{4} - \)\(16\!\cdots\!53\)\( T^{6} + \)\(40\!\cdots\!98\)\( T^{8} - \)\(59\!\cdots\!89\)\( T^{10} + \)\(55\!\cdots\!01\)\( T^{12} )^{2} \))(\( 1 + 4718 T + 308941 T^{2} - 166581818242 T^{3} - 975071466725036 T^{4} - 4769096028304772542 T^{5} + \)\(25\!\cdots\!41\)\( T^{6} + \)\(11\!\cdots\!18\)\( T^{7} + \)\(67\!\cdots\!01\)\( T^{8} \))(\( 1 - 8610 T - 10689342 T^{2} + 137042221612 T^{3} + 1032348577619862 T^{4} - 2025683261171583642 T^{5} - \)\(31\!\cdots\!06\)\( T^{6} - \)\(57\!\cdots\!42\)\( T^{7} + \)\(84\!\cdots\!62\)\( T^{8} + \)\(32\!\cdots\!12\)\( T^{9} - \)\(71\!\cdots\!42\)\( T^{10} - \)\(16\!\cdots\!10\)\( T^{11} + \)\(55\!\cdots\!01\)\( T^{12} \))(\( 1 + 1132 T - 60658635 T^{2} - 62431167700 T^{3} + 1166392900733297 T^{4} + 126919079777751576 T^{5} - \)\(56\!\cdots\!38\)\( T^{6} + \)\(20\!\cdots\!72\)\( T^{7} + \)\(28\!\cdots\!06\)\( T^{8} + \)\(60\!\cdots\!72\)\( T^{9} - \)\(46\!\cdots\!38\)\( T^{10} + \)\(29\!\cdots\!76\)\( T^{11} + \)\(78\!\cdots\!97\)\( T^{12} - \)\(12\!\cdots\!00\)\( T^{13} - \)\(33\!\cdots\!35\)\( T^{14} + \)\(17\!\cdots\!32\)\( T^{15} + \)\(45\!\cdots\!01\)\( T^{16} \))(\( 1 + 2759 T - 54902477 T^{2} + 189444651072 T^{3} + 2052158291804100 T^{4} - 13274031992302596720 T^{5} - \)\(32\!\cdots\!47\)\( T^{6} + \)\(42\!\cdots\!39\)\( T^{7} - \)\(13\!\cdots\!49\)\( T^{8} - \)\(36\!\cdots\!48\)\( T^{9} + \)\(63\!\cdots\!24\)\( T^{10} - \)\(10\!\cdots\!48\)\( T^{11} - \)\(11\!\cdots\!49\)\( T^{12} + \)\(99\!\cdots\!89\)\( T^{13} - \)\(21\!\cdots\!47\)\( T^{14} - \)\(25\!\cdots\!20\)\( T^{15} + \)\(11\!\cdots\!00\)\( T^{16} + \)\(29\!\cdots\!72\)\( T^{17} - \)\(24\!\cdots\!77\)\( T^{18} + \)\(35\!\cdots\!09\)\( T^{19} + \)\(36\!\cdots\!01\)\( T^{20} \))(\( 1 + 5143 T - 109681746 T^{2} - 315878935347 T^{3} + 7000666428159981 T^{4} + 4942120298051414760 T^{5} - \)\(34\!\cdots\!12\)\( T^{6} - \)\(60\!\cdots\!20\)\( T^{7} + \)\(13\!\cdots\!84\)\( T^{8} + \)\(51\!\cdots\!84\)\( T^{9} - \)\(48\!\cdots\!52\)\( T^{10} - \)\(16\!\cdots\!28\)\( T^{11} + \)\(16\!\cdots\!90\)\( T^{12} + \)\(19\!\cdots\!30\)\( T^{13} - \)\(52\!\cdots\!92\)\( T^{14} + \)\(54\!\cdots\!30\)\( T^{15} + \)\(13\!\cdots\!90\)\( T^{16} - \)\(39\!\cdots\!28\)\( T^{17} - \)\(32\!\cdots\!52\)\( T^{18} + \)\(98\!\cdots\!84\)\( T^{19} + \)\(74\!\cdots\!84\)\( T^{20} - \)\(94\!\cdots\!20\)\( T^{21} - \)\(15\!\cdots\!12\)\( T^{22} + \)\(63\!\cdots\!60\)\( T^{23} + \)\(25\!\cdots\!81\)\( T^{24} - \)\(33\!\cdots\!97\)\( T^{25} - \)\(33\!\cdots\!46\)\( T^{26} + \)\(44\!\cdots\!93\)\( T^{27} + \)\(24\!\cdots\!01\)\( T^{28} \))(\( 1 - 3517 T - 115326029 T^{2} + 863095735936 T^{3} + 5493586170208052 T^{4} - 74258762006207563328 T^{5} - \)\(68\!\cdots\!97\)\( T^{6} + \)\(36\!\cdots\!17\)\( T^{7} - \)\(60\!\cdots\!31\)\( T^{8} - \)\(13\!\cdots\!68\)\( T^{9} + \)\(46\!\cdots\!88\)\( T^{10} + \)\(38\!\cdots\!04\)\( T^{11} - \)\(22\!\cdots\!10\)\( T^{12} - \)\(90\!\cdots\!98\)\( T^{13} + \)\(91\!\cdots\!30\)\( T^{14} + \)\(10\!\cdots\!20\)\( T^{15} - \)\(29\!\cdots\!76\)\( T^{16} + \)\(30\!\cdots\!20\)\( T^{17} + \)\(75\!\cdots\!30\)\( T^{18} - \)\(21\!\cdots\!98\)\( T^{19} - \)\(15\!\cdots\!10\)\( T^{20} + \)\(73\!\cdots\!04\)\( T^{21} + \)\(25\!\cdots\!88\)\( T^{22} - \)\(20\!\cdots\!68\)\( T^{23} - \)\(27\!\cdots\!31\)\( T^{24} + \)\(47\!\cdots\!67\)\( T^{25} - \)\(25\!\cdots\!97\)\( T^{26} - \)\(78\!\cdots\!28\)\( T^{27} + \)\(16\!\cdots\!52\)\( T^{28} + \)\(74\!\cdots\!36\)\( T^{29} - \)\(28\!\cdots\!29\)\( T^{30} - \)\(25\!\cdots\!67\)\( T^{31} + \)\(20\!\cdots\!01\)\( T^{32} \))(\( 1 + 6651 T + 174763852 T^{2} + 1064283608835 T^{3} + 15019405876447915 T^{4} + 88385296847256736524 T^{5} + \)\(85\!\cdots\!04\)\( T^{6} + \)\(49\!\cdots\!16\)\( T^{7} + \)\(36\!\cdots\!40\)\( T^{8} + \)\(20\!\cdots\!88\)\( T^{9} + \)\(12\!\cdots\!12\)\( T^{10} + \)\(70\!\cdots\!48\)\( T^{11} + \)\(37\!\cdots\!89\)\( T^{12} + \)\(21\!\cdots\!83\)\( T^{13} + \)\(11\!\cdots\!80\)\( T^{14} + \)\(67\!\cdots\!79\)\( T^{15} + \)\(38\!\cdots\!27\)\( T^{16} + \)\(21\!\cdots\!48\)\( T^{17} + \)\(13\!\cdots\!80\)\( T^{18} + \)\(68\!\cdots\!88\)\( T^{19} + \)\(40\!\cdots\!24\)\( T^{20} + \)\(19\!\cdots\!88\)\( T^{21} + \)\(10\!\cdots\!80\)\( T^{22} + \)\(51\!\cdots\!48\)\( T^{23} + \)\(26\!\cdots\!27\)\( T^{24} + \)\(12\!\cdots\!29\)\( T^{25} + \)\(63\!\cdots\!80\)\( T^{26} + \)\(34\!\cdots\!33\)\( T^{27} + \)\(16\!\cdots\!89\)\( T^{28} + \)\(91\!\cdots\!48\)\( T^{29} + \)\(45\!\cdots\!12\)\( T^{30} + \)\(22\!\cdots\!88\)\( T^{31} + \)\(10\!\cdots\!40\)\( T^{32} + \)\(42\!\cdots\!16\)\( T^{33} + \)\(21\!\cdots\!04\)\( T^{34} + \)\(62\!\cdots\!24\)\( T^{35} + \)\(30\!\cdots\!15\)\( T^{36} + \)\(62\!\cdots\!85\)\( T^{37} + \)\(29\!\cdots\!52\)\( T^{38} + \)\(31\!\cdots\!01\)\( T^{39} + \)\(13\!\cdots\!01\)\( T^{40} \))(\( 1 - 6651 T + 174763852 T^{2} - 1064283608835 T^{3} + 15019405876447915 T^{4} - 88385296847256736524 T^{5} + \)\(85\!\cdots\!04\)\( T^{6} - \)\(49\!\cdots\!16\)\( T^{7} + \)\(36\!\cdots\!40\)\( T^{8} - \)\(20\!\cdots\!88\)\( T^{9} + \)\(12\!\cdots\!12\)\( T^{10} - \)\(70\!\cdots\!48\)\( T^{11} + \)\(37\!\cdots\!89\)\( T^{12} - \)\(21\!\cdots\!83\)\( T^{13} + \)\(11\!\cdots\!80\)\( T^{14} - \)\(67\!\cdots\!79\)\( T^{15} + \)\(38\!\cdots\!27\)\( T^{16} - \)\(21\!\cdots\!48\)\( T^{17} + \)\(13\!\cdots\!80\)\( T^{18} - \)\(68\!\cdots\!88\)\( T^{19} + \)\(40\!\cdots\!24\)\( T^{20} - \)\(19\!\cdots\!88\)\( T^{21} + \)\(10\!\cdots\!80\)\( T^{22} - \)\(51\!\cdots\!48\)\( T^{23} + \)\(26\!\cdots\!27\)\( T^{24} - \)\(12\!\cdots\!29\)\( T^{25} + \)\(63\!\cdots\!80\)\( T^{26} - \)\(34\!\cdots\!33\)\( T^{27} + \)\(16\!\cdots\!89\)\( T^{28} - \)\(91\!\cdots\!48\)\( T^{29} + \)\(45\!\cdots\!12\)\( T^{30} - \)\(22\!\cdots\!88\)\( T^{31} + \)\(10\!\cdots\!40\)\( T^{32} - \)\(42\!\cdots\!16\)\( T^{33} + \)\(21\!\cdots\!04\)\( T^{34} - \)\(62\!\cdots\!24\)\( T^{35} + \)\(30\!\cdots\!15\)\( T^{36} - \)\(62\!\cdots\!85\)\( T^{37} + \)\(29\!\cdots\!52\)\( T^{38} - \)\(31\!\cdots\!01\)\( T^{39} + \)\(13\!\cdots\!01\)\( T^{40} \))(\( 1 + 140937775 T^{2} + 9508109935161901 T^{4} + \)\(40\!\cdots\!18\)\( T^{6} + \)\(12\!\cdots\!02\)\( T^{8} + \)\(29\!\cdots\!74\)\( T^{10} + \)\(56\!\cdots\!03\)\( T^{12} + \)\(85\!\cdots\!05\)\( T^{14} + \)\(56\!\cdots\!11\)\( T^{16} - \)\(33\!\cdots\!24\)\( T^{18} - \)\(16\!\cdots\!56\)\( T^{20} - \)\(27\!\cdots\!24\)\( T^{22} + \)\(37\!\cdots\!11\)\( T^{24} + \)\(47\!\cdots\!05\)\( T^{26} + \)\(25\!\cdots\!03\)\( T^{28} + \)\(11\!\cdots\!74\)\( T^{30} + \)\(38\!\cdots\!02\)\( T^{32} + \)\(10\!\cdots\!18\)\( T^{34} + \)\(19\!\cdots\!01\)\( T^{36} + \)\(23\!\cdots\!75\)\( T^{38} + \)\(13\!\cdots\!01\)\( T^{40} \))
$37$ (\( 1 + 3805 T + 69343957 T^{2} \))(\( 1 + 3958 T + 69343957 T^{2} \))(\( 1 - 10794 T + 69343957 T^{2} \))(\( 1 + 4993 T + 69343957 T^{2} \))(\( 1 + 6661 T + 69343957 T^{2} \))(\( 1 + 9889 T + 69343957 T^{2} \))(\( 1 + 4993 T + 69343957 T^{2} \))(\( 1 - 10794 T + 69343957 T^{2} \))(\( 1 + 3958 T + 69343957 T^{2} \))(\( 1 + 3805 T + 69343957 T^{2} \))(\( 1 - 9004 T + 114341118 T^{2} - 624372988828 T^{3} + 4808584372417849 T^{4} \))(\( 1 - 4428 T + 63003710 T^{2} - 307055041596 T^{3} + 4808584372417849 T^{4} \))(\( 1 + 8178 T + 40241675 T^{2} + 567094880346 T^{3} + 4808584372417849 T^{4} \))(\( 1 + 14076 T + 173654894 T^{2} + 976085538732 T^{3} + 4808584372417849 T^{4} \))(\( ( 1 - 13115 T + 69343957 T^{2} )^{2} \))(\( ( 1 - 8783 T + 69343957 T^{2} )^{2} \))(\( 1 + 9956 T + 151512798 T^{2} + 690388435892 T^{3} + 4808584372417849 T^{4} \))(\( 1 + 9956 T + 151512798 T^{2} + 690388435892 T^{3} + 4808584372417849 T^{4} \))(\( 1 + 14076 T + 173654894 T^{2} + 976085538732 T^{3} + 4808584372417849 T^{4} \))(\( 1 + 8178 T + 40241675 T^{2} + 567094880346 T^{3} + 4808584372417849 T^{4} \))(\( 1 - 4428 T + 63003710 T^{2} - 307055041596 T^{3} + 4808584372417849 T^{4} \))(\( 1 - 9004 T + 114341118 T^{2} - 624372988828 T^{3} + 4808584372417849 T^{4} \))(\( 1 + 411 T + 167043954 T^{2} + 10421881671 T^{3} + 11583488763285978 T^{4} + 1976328177063735939 T^{5} + \)\(33\!\cdots\!93\)\( T^{6} \))(\( 1 + 411 T + 167043954 T^{2} + 10421881671 T^{3} + 11583488763285978 T^{4} + 1976328177063735939 T^{5} + \)\(33\!\cdots\!93\)\( T^{6} \))(\( ( 1 + 6661 T + 69343957 T^{2} )^{2} \))(\( ( 1 + 9889 T + 69343957 T^{2} )^{2} \))(\( ( 1 - 8363 T + 69343957 T^{2} )^{4} \))(\( ( 1 + 1153 T + 69343957 T^{2} )^{4} \))(\( ( 1 - 6442 T + 113088063 T^{2} - 446713770994 T^{3} + 4808584372417849 T^{4} )^{4} \))(\( ( 1 - 1624 T + 123892458 T^{2} - 112614586168 T^{3} + 4808584372417849 T^{4} )^{4} \))(\( ( 1 - 4560 T + 113727327 T^{2} - 800084721440 T^{3} + 7886302873212939 T^{4} - 21927144738225391440 T^{5} + \)\(33\!\cdots\!93\)\( T^{6} )^{4} \))(\( ( 1 + 4796 T - 2933298 T^{2} + 332573617772 T^{3} + 4808584372417849 T^{4} )^{2} \))(\( ( 1 - 19968 T + 327446979 T^{2} - 2957339330768 T^{3} + 22706469231555903 T^{4} - 96017812748439608832 T^{5} + \)\(33\!\cdots\!93\)\( T^{6} )^{2} \))(\( ( 1 + 7588 T + 181007992 T^{2} + 1702118220604 T^{3} + 15462039197985406 T^{4} + \)\(11\!\cdots\!28\)\( T^{5} + \)\(87\!\cdots\!08\)\( T^{6} + \)\(25\!\cdots\!84\)\( T^{7} + \)\(23\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 + 7586 T + 201201093 T^{2} + 803146672896 T^{3} + 19241810738464926 T^{4} + 60351714230064941916 T^{5} + \)\(13\!\cdots\!82\)\( T^{6} + \)\(38\!\cdots\!04\)\( T^{7} + \)\(67\!\cdots\!49\)\( T^{8} + \)\(17\!\cdots\!86\)\( T^{9} + \)\(16\!\cdots\!57\)\( T^{10} )^{2} \))(\( ( 1 + 9942 T + 332201371 T^{2} + 2693330117316 T^{3} + 50133814193692869 T^{4} + \)\(32\!\cdots\!94\)\( T^{5} + \)\(47\!\cdots\!35\)\( T^{6} + \)\(26\!\cdots\!44\)\( T^{7} + \)\(33\!\cdots\!95\)\( T^{8} + \)\(15\!\cdots\!06\)\( T^{9} + \)\(16\!\cdots\!17\)\( T^{10} + \)\(62\!\cdots\!16\)\( T^{11} + \)\(53\!\cdots\!47\)\( T^{12} + \)\(11\!\cdots\!58\)\( T^{13} + \)\(77\!\cdots\!93\)\( T^{14} )^{2} \))(\( ( 1 - 9942 T + 392275880 T^{2} - 2850674667090 T^{3} + 67740517235106316 T^{4} - \)\(36\!\cdots\!18\)\( T^{5} + \)\(71\!\cdots\!20\)\( T^{6} - \)\(30\!\cdots\!02\)\( T^{7} + \)\(56\!\cdots\!54\)\( T^{8} - \)\(21\!\cdots\!14\)\( T^{9} + \)\(34\!\cdots\!80\)\( T^{10} - \)\(12\!\cdots\!74\)\( T^{11} + \)\(15\!\cdots\!16\)\( T^{12} - \)\(45\!\cdots\!30\)\( T^{13} + \)\(43\!\cdots\!20\)\( T^{14} - \)\(76\!\cdots\!06\)\( T^{15} + \)\(53\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 + 2428 T + 391611502 T^{2} + 1421991093324 T^{3} + 76512779052940245 T^{4} + \)\(35\!\cdots\!72\)\( T^{5} + \)\(10\!\cdots\!28\)\( T^{6} + \)\(51\!\cdots\!40\)\( T^{7} + \)\(99\!\cdots\!62\)\( T^{8} + \)\(50\!\cdots\!04\)\( T^{9} + \)\(77\!\cdots\!88\)\( T^{10} + \)\(35\!\cdots\!28\)\( T^{11} + \)\(47\!\cdots\!38\)\( T^{12} + \)\(17\!\cdots\!20\)\( T^{13} + \)\(23\!\cdots\!28\)\( T^{14} + \)\(56\!\cdots\!04\)\( T^{15} + \)\(85\!\cdots\!05\)\( T^{16} + \)\(10\!\cdots\!32\)\( T^{17} + \)\(20\!\cdots\!02\)\( T^{18} + \)\(90\!\cdots\!96\)\( T^{19} + \)\(25\!\cdots\!49\)\( T^{20} )^{2} \))(\( ( 1 + 2428 T + 391611502 T^{2} + 1421991093324 T^{3} + 76512779052940245 T^{4} + \)\(35\!\cdots\!72\)\( T^{5} + \)\(10\!\cdots\!28\)\( T^{6} + \)\(51\!\cdots\!40\)\( T^{7} + \)\(99\!\cdots\!62\)\( T^{8} + \)\(50\!\cdots\!04\)\( T^{9} + \)\(77\!\cdots\!88\)\( T^{10} + \)\(35\!\cdots\!28\)\( T^{11} + \)\(47\!\cdots\!38\)\( T^{12} + \)\(17\!\cdots\!20\)\( T^{13} + \)\(23\!\cdots\!28\)\( T^{14} + \)\(56\!\cdots\!04\)\( T^{15} + \)\(85\!\cdots\!05\)\( T^{16} + \)\(10\!\cdots\!32\)\( T^{17} + \)\(20\!\cdots\!02\)\( T^{18} + \)\(90\!\cdots\!96\)\( T^{19} + \)\(25\!\cdots\!49\)\( T^{20} )^{2} \))(\( ( 1 - 2428 T + 142796865 T^{2} - 759256754544 T^{3} + 15512432920991538 T^{4} - 60301259841845488488 T^{5} + \)\(10\!\cdots\!66\)\( T^{6} - \)\(36\!\cdots\!56\)\( T^{7} + \)\(47\!\cdots\!45\)\( T^{8} - \)\(56\!\cdots\!28\)\( T^{9} + \)\(16\!\cdots\!57\)\( T^{10} )^{4} \))
$41$ (\( 1 - 12480 T + 115856201 T^{2} \))(\( 1 - 20586 T + 115856201 T^{2} \))(\( 1 - 10194 T + 115856201 T^{2} \))(\( 1 - 6528 T + 115856201 T^{2} \))(\( 1 + 115856201 T^{2} \))(\( 1 + 115856201 T^{2} \))(\( 1 + 6528 T + 115856201 T^{2} \))(\( 1 + 10194 T + 115856201 T^{2} \))(\( 1 + 20586 T + 115856201 T^{2} \))(\( 1 + 12480 T + 115856201 T^{2} \))(\( 1 + 5688 T + 76219870 T^{2} + 658990071288 T^{3} + 13422659310152401 T^{4} \))(\( 1 - 5652 T + 232878838 T^{2} - 654819248052 T^{3} + 13422659310152401 T^{4} \))(\( 1 + 19200 T + 245536402 T^{2} + 2224439059200 T^{3} + 13422659310152401 T^{4} \))(\( 1 - 6696 T + 214924702 T^{2} - 775773121896 T^{3} + 13422659310152401 T^{4} \))(\( 1 + 143238802 T^{2} + 13422659310152401 T^{4} \))(\( 1 - 9156974 T^{2} + 13422659310152401 T^{4} \))(\( 1 - 13608 T + 266834974 T^{2} - 1576571183208 T^{3} + 13422659310152401 T^{4} \))(\( 1 + 13608 T + 266834974 T^{2} + 1576571183208 T^{3} + 13422659310152401 T^{4} \))(\( 1 + 6696 T + 214924702 T^{2} + 775773121896 T^{3} + 13422659310152401 T^{4} \))(\( 1 - 19200 T + 245536402 T^{2} - 2224439059200 T^{3} + 13422659310152401 T^{4} \))(\( 1 + 5652 T + 232878838 T^{2} + 654819248052 T^{3} + 13422659310152401 T^{4} \))(\( 1 - 5688 T + 76219870 T^{2} - 658990071288 T^{3} + 13422659310152401 T^{4} \))(\( 1 - 29184 T + 618297819 T^{2} - 7551592498176 T^{3} + 71633636395925619 T^{4} - \)\(39\!\cdots\!84\)\( T^{5} + \)\(15\!\cdots\!01\)\( T^{6} \))(\( 1 + 29184 T + 618297819 T^{2} + 7551592498176 T^{3} + 71633636395925619 T^{4} + \)\(39\!\cdots\!84\)\( T^{5} + \)\(15\!\cdots\!01\)\( T^{6} \))(\( ( 1 - 115856201 T^{2} )^{2} \))(\( ( 1 - 115856201 T^{2} )^{2} \))(\( ( 1 - 207249106 T^{2} + 13422659310152401 T^{4} )^{2} \))(\( ( 1 - 217435666 T^{2} + 13422659310152401 T^{4} )^{2} \))(\( ( 1 - 266209892 T^{2} + 37045040385052518 T^{4} - \)\(35\!\cdots\!92\)\( T^{6} + \)\(18\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 - 282591332 T^{2} + 38636469438991206 T^{4} - \)\(37\!\cdots\!32\)\( T^{6} + \)\(18\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 - 268887990 T^{2} + 49833288693708351 T^{4} - \)\(73\!\cdots\!24\)\( T^{6} + \)\(66\!\cdots\!51\)\( T^{8} - \)\(48\!\cdots\!90\)\( T^{10} + \)\(24\!\cdots\!01\)\( T^{12} )^{2} \))(\( 1 + 15354 T - 54861079 T^{2} + 904258368522 T^{3} + 43716860789439108 T^{4} + \)\(10\!\cdots\!22\)\( T^{5} - \)\(73\!\cdots\!79\)\( T^{6} + \)\(23\!\cdots\!54\)\( T^{7} + \)\(18\!\cdots\!01\)\( T^{8} \))(\( 1 + 5049 T - 49911369 T^{2} + 2355608603160 T^{3} + 1935356544736665 T^{4} - 94902326907305939361 T^{5} + \)\(30\!\cdots\!26\)\( T^{6} - \)\(10\!\cdots\!61\)\( T^{7} + \)\(25\!\cdots\!65\)\( T^{8} + \)\(36\!\cdots\!60\)\( T^{9} - \)\(89\!\cdots\!69\)\( T^{10} + \)\(10\!\cdots\!49\)\( T^{11} + \)\(24\!\cdots\!01\)\( T^{12} \))(\( 1 + 1248 T - 412882754 T^{2} - 256860139200 T^{3} + 101750473497083809 T^{4} + 31706402029277721984 T^{5} - \)\(17\!\cdots\!98\)\( T^{6} - \)\(13\!\cdots\!52\)\( T^{7} + \)\(23\!\cdots\!00\)\( T^{8} - \)\(15\!\cdots\!52\)\( T^{9} - \)\(23\!\cdots\!98\)\( T^{10} + \)\(49\!\cdots\!84\)\( T^{11} + \)\(18\!\cdots\!09\)\( T^{12} - \)\(53\!\cdots\!00\)\( T^{13} - \)\(99\!\cdots\!54\)\( T^{14} + \)\(34\!\cdots\!48\)\( T^{15} + \)\(32\!\cdots\!01\)\( T^{16} \))(\( 1 - 18435 T - 117679042 T^{2} + 4344492069675 T^{3} - 505249106564622 T^{4} - \)\(52\!\cdots\!97\)\( T^{5} + \)\(16\!\cdots\!40\)\( T^{6} + \)\(39\!\cdots\!43\)\( T^{7} - \)\(31\!\cdots\!03\)\( T^{8} - \)\(10\!\cdots\!42\)\( T^{9} + \)\(29\!\cdots\!40\)\( T^{10} - \)\(11\!\cdots\!42\)\( T^{11} - \)\(41\!\cdots\!03\)\( T^{12} + \)\(62\!\cdots\!43\)\( T^{13} + \)\(30\!\cdots\!40\)\( T^{14} - \)\(10\!\cdots\!97\)\( T^{15} - \)\(12\!\cdots\!22\)\( T^{16} + \)\(12\!\cdots\!75\)\( T^{17} - \)\(38\!\cdots\!42\)\( T^{18} - \)\(69\!\cdots\!35\)\( T^{19} + \)\(43\!\cdots\!01\)\( T^{20} \))(\( 1 - 12273 T - 357178727 T^{2} + 1235021514918 T^{3} + 100489810504965844 T^{4} + \)\(23\!\cdots\!88\)\( T^{5} - \)\(15\!\cdots\!23\)\( T^{6} - \)\(93\!\cdots\!83\)\( T^{7} + \)\(13\!\cdots\!56\)\( T^{8} + \)\(12\!\cdots\!51\)\( T^{9} - \)\(10\!\cdots\!21\)\( T^{10} - \)\(47\!\cdots\!72\)\( T^{11} + \)\(13\!\cdots\!15\)\( T^{12} - \)\(15\!\cdots\!01\)\( T^{13} - \)\(20\!\cdots\!10\)\( T^{14} - \)\(18\!\cdots\!01\)\( T^{15} + \)\(18\!\cdots\!15\)\( T^{16} - \)\(73\!\cdots\!72\)\( T^{17} - \)\(18\!\cdots\!21\)\( T^{18} + \)\(25\!\cdots\!51\)\( T^{19} + \)\(32\!\cdots\!56\)\( T^{20} - \)\(26\!\cdots\!83\)\( T^{21} - \)\(50\!\cdots\!23\)\( T^{22} + \)\(88\!\cdots\!88\)\( T^{23} + \)\(43\!\cdots\!44\)\( T^{24} + \)\(62\!\cdots\!18\)\( T^{25} - \)\(20\!\cdots\!27\)\( T^{26} - \)\(83\!\cdots\!73\)\( T^{27} + \)\(78\!\cdots\!01\)\( T^{28} \))(\( 1 + 11958 T - 317542966 T^{2} - 2880044533908 T^{3} + 50829316389696744 T^{4} + \)\(13\!\cdots\!06\)\( T^{5} - \)\(51\!\cdots\!28\)\( T^{6} + \)\(41\!\cdots\!78\)\( T^{7} + \)\(48\!\cdots\!75\)\( T^{8} - \)\(45\!\cdots\!38\)\( T^{9} - \)\(38\!\cdots\!36\)\( T^{10} - \)\(37\!\cdots\!06\)\( T^{11} + \)\(55\!\cdots\!00\)\( T^{12} + \)\(11\!\cdots\!04\)\( T^{13} - \)\(14\!\cdots\!90\)\( T^{14} - \)\(63\!\cdots\!74\)\( T^{15} + \)\(23\!\cdots\!56\)\( T^{16} - \)\(73\!\cdots\!74\)\( T^{17} - \)\(18\!\cdots\!90\)\( T^{18} + \)\(17\!\cdots\!04\)\( T^{19} + \)\(10\!\cdots\!00\)\( T^{20} - \)\(78\!\cdots\!06\)\( T^{21} - \)\(93\!\cdots\!36\)\( T^{22} - \)\(12\!\cdots\!38\)\( T^{23} + \)\(15\!\cdots\!75\)\( T^{24} + \)\(15\!\cdots\!78\)\( T^{25} - \)\(22\!\cdots\!28\)\( T^{26} + \)\(67\!\cdots\!06\)\( T^{27} + \)\(29\!\cdots\!44\)\( T^{28} - \)\(19\!\cdots\!08\)\( T^{29} - \)\(24\!\cdots\!66\)\( T^{30} + \)\(10\!\cdots\!58\)\( T^{31} + \)\(10\!\cdots\!01\)\( T^{32} \))(\( 1 + 846 T + 701653349 T^{2} + 593396901342 T^{3} + 252506272850734342 T^{4} + \)\(21\!\cdots\!54\)\( T^{5} + \)\(60\!\cdots\!47\)\( T^{6} + \)\(74\!\cdots\!70\)\( T^{7} + \)\(11\!\cdots\!50\)\( T^{8} + \)\(24\!\cdots\!38\)\( T^{9} + \)\(15\!\cdots\!99\)\( T^{10} + \)\(63\!\cdots\!74\)\( T^{11} + \)\(19\!\cdots\!52\)\( T^{12} + \)\(13\!\cdots\!58\)\( T^{13} + \)\(21\!\cdots\!11\)\( T^{14} + \)\(22\!\cdots\!26\)\( T^{15} + \)\(22\!\cdots\!01\)\( T^{16} + \)\(32\!\cdots\!64\)\( T^{17} + \)\(24\!\cdots\!26\)\( T^{18} + \)\(41\!\cdots\!88\)\( T^{19} + \)\(28\!\cdots\!08\)\( T^{20} + \)\(47\!\cdots\!88\)\( T^{21} + \)\(33\!\cdots\!26\)\( T^{22} + \)\(50\!\cdots\!64\)\( T^{23} + \)\(40\!\cdots\!01\)\( T^{24} + \)\(47\!\cdots\!26\)\( T^{25} + \)\(51\!\cdots\!11\)\( T^{26} + \)\(37\!\cdots\!58\)\( T^{27} + \)\(63\!\cdots\!52\)\( T^{28} + \)\(23\!\cdots\!74\)\( T^{29} + \)\(69\!\cdots\!99\)\( T^{30} + \)\(12\!\cdots\!38\)\( T^{31} + \)\(64\!\cdots\!50\)\( T^{32} + \)\(50\!\cdots\!70\)\( T^{33} + \)\(47\!\cdots\!47\)\( T^{34} + \)\(19\!\cdots\!54\)\( T^{35} + \)\(26\!\cdots\!42\)\( T^{36} + \)\(72\!\cdots\!42\)\( T^{37} + \)\(99\!\cdots\!49\)\( T^{38} + \)\(13\!\cdots\!46\)\( T^{39} + \)\(18\!\cdots\!01\)\( T^{40} \))(\( 1 + 846 T + 701653349 T^{2} + 593396901342 T^{3} + 252506272850734342 T^{4} + \)\(21\!\cdots\!54\)\( T^{5} + \)\(60\!\cdots\!47\)\( T^{6} + \)\(74\!\cdots\!70\)\( T^{7} + \)\(11\!\cdots\!50\)\( T^{8} + \)\(24\!\cdots\!38\)\( T^{9} + \)\(15\!\cdots\!99\)\( T^{10} + \)\(63\!\cdots\!74\)\( T^{11} + \)\(19\!\cdots\!52\)\( T^{12} + \)\(13\!\cdots\!58\)\( T^{13} + \)\(21\!\cdots\!11\)\( T^{14} + \)\(22\!\cdots\!26\)\( T^{15} + \)\(22\!\cdots\!01\)\( T^{16} + \)\(32\!\cdots\!64\)\( T^{17} + \)\(24\!\cdots\!26\)\( T^{18} + \)\(41\!\cdots\!88\)\( T^{19} + \)\(28\!\cdots\!08\)\( T^{20} + \)\(47\!\cdots\!88\)\( T^{21} + \)\(33\!\cdots\!26\)\( T^{22} + \)\(50\!\cdots\!64\)\( T^{23} + \)\(40\!\cdots\!01\)\( T^{24} + \)\(47\!\cdots\!26\)\( T^{25} + \)\(51\!\cdots\!11\)\( T^{26} + \)\(37\!\cdots\!58\)\( T^{27} + \)\(63\!\cdots\!52\)\( T^{28} + \)\(23\!\cdots\!74\)\( T^{29} + \)\(69\!\cdots\!99\)\( T^{30} + \)\(12\!\cdots\!38\)\( T^{31} + \)\(64\!\cdots\!50\)\( T^{32} + \)\(50\!\cdots\!70\)\( T^{33} + \)\(47\!\cdots\!47\)\( T^{34} + \)\(19\!\cdots\!54\)\( T^{35} + \)\(26\!\cdots\!42\)\( T^{36} + \)\(72\!\cdots\!42\)\( T^{37} + \)\(99\!\cdots\!49\)\( T^{38} + \)\(13\!\cdots\!46\)\( T^{39} + \)\(18\!\cdots\!01\)\( T^{40} \))(\( ( 1 + 12213 T + 217843750 T^{2} + 2053306069551 T^{3} + 5029713408920766 T^{4} - 87384146070861638253 T^{5} - \)\(11\!\cdots\!88\)\( T^{6} - \)\(33\!\cdots\!09\)\( T^{7} - \)\(16\!\cdots\!71\)\( T^{8} - \)\(21\!\cdots\!58\)\( T^{9} - \)\(28\!\cdots\!16\)\( T^{10} - \)\(24\!\cdots\!58\)\( T^{11} - \)\(22\!\cdots\!71\)\( T^{12} - \)\(52\!\cdots\!09\)\( T^{13} - \)\(19\!\cdots\!88\)\( T^{14} - \)\(18\!\cdots\!53\)\( T^{15} + \)\(12\!\cdots\!66\)\( T^{16} + \)\(57\!\cdots\!51\)\( T^{17} + \)\(70\!\cdots\!50\)\( T^{18} + \)\(45\!\cdots\!13\)\( T^{19} + \)\(43\!\cdots\!01\)\( T^{20} )^{2} \))
$43$ (\( 1 - 4936 T + 147008443 T^{2} \))(\( 1 - 8770 T + 147008443 T^{2} \))(\( 1 + 17578 T + 147008443 T^{2} \))(\( 1 - 6232 T + 147008443 T^{2} \))(\( 1 - 3352 T + 147008443 T^{2} \))(\( 1 - 3352 T + 147008443 T^{2} \))(\( 1 - 6232 T + 147008443 T^{2} \))(\( 1 + 17578 T + 147008443 T^{2} \))(\( 1 - 8770 T + 147008443 T^{2} \))(\( 1 - 4936 T + 147008443 T^{2} \))(\( 1 + 784 T + 202511922 T^{2} + 115254619312 T^{3} + 21611482313284249 T^{4} \))(\( 1 + 9476 T + 105450090 T^{2} + 1393052005868 T^{3} + 21611482313284249 T^{4} \))(\( 1 + 11264 T + 155306550 T^{2} + 1655903101952 T^{3} + 21611482313284249 T^{4} \))(\( 1 - 15112 T + 233547522 T^{2} - 2221591590616 T^{3} + 21611482313284249 T^{4} \))(\( ( 1 + 104 T + 147008443 T^{2} )^{2} \))(\( ( 1 + 19976 T + 147008443 T^{2} )^{2} \))(\( 1 + 4960 T + 213010962 T^{2} + 729161877280 T^{3} + 21611482313284249 T^{4} \))(\( 1 + 4960 T + 213010962 T^{2} + 729161877280 T^{3} + 21611482313284249 T^{4} \))(\( 1 - 15112 T + 233547522 T^{2} - 2221591590616 T^{3} + 21611482313284249 T^{4} \))(\( 1 + 11264 T + 155306550 T^{2} + 1655903101952 T^{3} + 21611482313284249 T^{4} \))(\( 1 + 9476 T + 105450090 T^{2} + 1393052005868 T^{3} + 21611482313284249 T^{4} \))(\( 1 + 784 T + 202511922 T^{2} + 115254619312 T^{3} + 21611482313284249 T^{4} \))(\( 1 - 7416 T + 183501297 T^{2} - 2670072536144 T^{3} + 26976239960450571 T^{4} - \)\(16\!\cdots\!84\)\( T^{5} + \)\(31\!\cdots\!07\)\( T^{6} \))(\( 1 - 7416 T + 183501297 T^{2} - 2670072536144 T^{3} + 26976239960450571 T^{4} - \)\(16\!\cdots\!84\)\( T^{5} + \)\(31\!\cdots\!07\)\( T^{6} \))(\( ( 1 - 3352 T + 147008443 T^{2} )( 1 + 3352 T + 147008443 T^{2} ) \))(\( ( 1 - 3352 T + 147008443 T^{2} )( 1 + 3352 T + 147008443 T^{2} ) \))(\( ( 1 - 203991434 T^{2} + 21611482313284249 T^{4} )^{2} \))(\( ( 1 - 131949386 T^{2} + 21611482313284249 T^{4} )^{2} \))(\( ( 1 - 567157588 T^{2} + 123634693871588886 T^{4} - \)\(12\!\cdots\!12\)\( T^{6} + \)\(46\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 - 501034804 T^{2} + 104415363340402902 T^{4} - \)\(10\!\cdots\!96\)\( T^{6} + \)\(46\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 - 732847038 T^{2} + 243712299427969911 T^{4} - \)\(46\!\cdots\!36\)\( T^{6} + \)\(52\!\cdots\!39\)\( T^{8} - \)\(34\!\cdots\!38\)\( T^{10} + \)\(10\!\cdots\!49\)\( T^{12} )^{2} \))(\( 1 + 32858 T + 531117661 T^{2} + 8362808427386 T^{3} + 120556834830700108 T^{4} + \)\(12\!\cdots\!98\)\( T^{5} + \)\(11\!\cdots\!89\)\( T^{6} + \)\(10\!\cdots\!06\)\( T^{7} + \)\(46\!\cdots\!01\)\( T^{8} \))(\( 1 - 31389 T + 371875485 T^{2} - 1823349120818 T^{3} + 12515413892662971 T^{4} - \)\(36\!\cdots\!65\)\( T^{5} + \)\(57\!\cdots\!06\)\( T^{6} - \)\(53\!\cdots\!95\)\( T^{7} + \)\(27\!\cdots\!79\)\( T^{8} - \)\(57\!\cdots\!26\)\( T^{9} + \)\(17\!\cdots\!85\)\( T^{10} - \)\(21\!\cdots\!27\)\( T^{11} + \)\(10\!\cdots\!49\)\( T^{12} \))(\( 1 - 6092 T - 493633434 T^{2} + 1717030281896 T^{3} + 152938627936979465 T^{4} - \)\(29\!\cdots\!88\)\( T^{5} - \)\(33\!\cdots\!22\)\( T^{6} + \)\(15\!\cdots\!68\)\( T^{7} + \)\(57\!\cdots\!20\)\( T^{8} + \)\(23\!\cdots\!24\)\( T^{9} - \)\(72\!\cdots\!78\)\( T^{10} - \)\(92\!\cdots\!16\)\( T^{11} + \)\(71\!\cdots\!65\)\( T^{12} + \)\(11\!\cdots\!28\)\( T^{13} - \)\(49\!\cdots\!66\)\( T^{14} - \)\(90\!\cdots\!44\)\( T^{15} + \)\(21\!\cdots\!01\)\( T^{16} \))(\( 1 + 1469 T - 271863536 T^{2} - 4016430594327 T^{3} + 12129147672135834 T^{4} + \)\(75\!\cdots\!27\)\( T^{5} + \)\(55\!\cdots\!62\)\( T^{6} + \)\(12\!\cdots\!57\)\( T^{7} - \)\(29\!\cdots\!39\)\( T^{8} - \)\(61\!\cdots\!62\)\( T^{9} - \)\(11\!\cdots\!84\)\( T^{10} - \)\(90\!\cdots\!66\)\( T^{11} - \)\(64\!\cdots\!11\)\( T^{12} + \)\(38\!\cdots\!99\)\( T^{13} + \)\(26\!\cdots\!62\)\( T^{14} + \)\(52\!\cdots\!61\)\( T^{15} + \)\(12\!\cdots\!66\)\( T^{16} - \)\(59\!\cdots\!89\)\( T^{17} - \)\(59\!\cdots\!36\)\( T^{18} + \)\(47\!\cdots\!67\)\( T^{19} + \)\(47\!\cdots\!49\)\( T^{20} \))(\( 1 + 10661 T - 623773965 T^{2} - 4644578579856 T^{3} + 217495733901369402 T^{4} + \)\(91\!\cdots\!58\)\( T^{5} - \)\(57\!\cdots\!73\)\( T^{6} - \)\(14\!\cdots\!15\)\( T^{7} + \)\(12\!\cdots\!76\)\( T^{8} + \)\(22\!\cdots\!93\)\( T^{9} - \)\(24\!\cdots\!03\)\( T^{10} - \)\(28\!\cdots\!30\)\( T^{11} + \)\(42\!\cdots\!69\)\( T^{12} + \)\(17\!\cdots\!71\)\( T^{13} - \)\(65\!\cdots\!62\)\( T^{14} + \)\(25\!\cdots\!53\)\( T^{15} + \)\(90\!\cdots\!81\)\( T^{16} - \)\(90\!\cdots\!10\)\( T^{17} - \)\(11\!\cdots\!03\)\( T^{18} + \)\(15\!\cdots\!99\)\( T^{19} + \)\(12\!\cdots\!24\)\( T^{20} - \)\(21\!\cdots\!05\)\( T^{21} - \)\(12\!\cdots\!73\)\( T^{22} + \)\(29\!\cdots\!94\)\( T^{23} + \)\(10\!\cdots\!98\)\( T^{24} - \)\(32\!\cdots\!92\)\( T^{25} - \)\(63\!\cdots\!65\)\( T^{26} + \)\(15\!\cdots\!23\)\( T^{27} + \)\(22\!\cdots\!49\)\( T^{28} \))(\( 1 + 6358 T - 605632010 T^{2} + 3590184015404 T^{3} + 251121895055192660 T^{4} - \)\(32\!\cdots\!58\)\( T^{5} - \)\(55\!\cdots\!56\)\( T^{6} + \)\(13\!\cdots\!46\)\( T^{7} + \)\(54\!\cdots\!11\)\( T^{8} - \)\(37\!\cdots\!86\)\( T^{9} + \)\(12\!\cdots\!00\)\( T^{10} + \)\(71\!\cdots\!02\)\( T^{11} - \)\(67\!\cdots\!48\)\( T^{12} - \)\(91\!\cdots\!08\)\( T^{13} + \)\(17\!\cdots\!98\)\( T^{14} + \)\(54\!\cdots\!18\)\( T^{15} - \)\(29\!\cdots\!68\)\( T^{16} + \)\(80\!\cdots\!74\)\( T^{17} + \)\(37\!\cdots\!02\)\( T^{18} - \)\(29\!\cdots\!56\)\( T^{19} - \)\(31\!\cdots\!48\)\( T^{20} + \)\(49\!\cdots\!86\)\( T^{21} + \)\(12\!\cdots\!00\)\( T^{22} - \)\(54\!\cdots\!02\)\( T^{23} + \)\(11\!\cdots\!11\)\( T^{24} + \)\(44\!\cdots\!78\)\( T^{25} - \)\(26\!\cdots\!44\)\( T^{26} - \)\(22\!\cdots\!06\)\( T^{27} + \)\(25\!\cdots\!60\)\( T^{28} + \)\(53\!\cdots\!72\)\( T^{29} - \)\(13\!\cdots\!90\)\( T^{30} + \)\(20\!\cdots\!06\)\( T^{31} + \)\(47\!\cdots\!01\)\( T^{32} \))(\( 1 + 551639443 T^{2} + 96728798958736102 T^{4} + \)\(22\!\cdots\!20\)\( T^{5} + \)\(65\!\cdots\!17\)\( T^{6} + \)\(17\!\cdots\!52\)\( T^{7} + \)\(21\!\cdots\!90\)\( T^{8} + \)\(50\!\cdots\!96\)\( T^{9} + \)\(71\!\cdots\!97\)\( T^{10} + \)\(62\!\cdots\!60\)\( T^{11} + \)\(10\!\cdots\!04\)\( T^{12} + \)\(51\!\cdots\!40\)\( T^{13} + \)\(18\!\cdots\!53\)\( T^{14} + \)\(15\!\cdots\!96\)\( T^{15} + \)\(44\!\cdots\!93\)\( T^{16} + \)\(38\!\cdots\!52\)\( T^{17} + \)\(50\!\cdots\!26\)\( T^{18} + \)\(52\!\cdots\!68\)\( T^{19} + \)\(38\!\cdots\!24\)\( T^{20} + \)\(76\!\cdots\!24\)\( T^{21} + \)\(10\!\cdots\!74\)\( T^{22} + \)\(12\!\cdots\!64\)\( T^{23} + \)\(20\!\cdots\!93\)\( T^{24} + \)\(10\!\cdots\!28\)\( T^{25} + \)\(19\!\cdots\!97\)\( T^{26} + \)\(76\!\cdots\!80\)\( T^{27} + \)\(22\!\cdots\!04\)\( T^{28} + \)\(20\!\cdots\!80\)\( T^{29} + \)\(33\!\cdots\!53\)\( T^{30} + \)\(34\!\cdots\!72\)\( T^{31} + \)\(21\!\cdots\!90\)\( T^{32} + \)\(26\!\cdots\!36\)\( T^{33} + \)\(14\!\cdots\!33\)\( T^{34} + \)\(71\!\cdots\!40\)\( T^{35} + \)\(46\!\cdots\!02\)\( T^{36} + \)\(56\!\cdots\!07\)\( T^{38} + \)\(22\!\cdots\!01\)\( T^{40} \))(\( 1 + 551639443 T^{2} + 96728798958736102 T^{4} - \)\(22\!\cdots\!20\)\( T^{5} + \)\(65\!\cdots\!17\)\( T^{6} - \)\(17\!\cdots\!52\)\( T^{7} + \)\(21\!\cdots\!90\)\( T^{8} - \)\(50\!\cdots\!96\)\( T^{9} + \)\(71\!\cdots\!97\)\( T^{10} - \)\(62\!\cdots\!60\)\( T^{11} + \)\(10\!\cdots\!04\)\( T^{12} - \)\(51\!\cdots\!40\)\( T^{13} + \)\(18\!\cdots\!53\)\( T^{14} - \)\(15\!\cdots\!96\)\( T^{15} + \)\(44\!\cdots\!93\)\( T^{16} - \)\(38\!\cdots\!52\)\( T^{17} + \)\(50\!\cdots\!26\)\( T^{18} - \)\(52\!\cdots\!68\)\( T^{19} + \)\(38\!\cdots\!24\)\( T^{20} - \)\(76\!\cdots\!24\)\( T^{21} + \)\(10\!\cdots\!74\)\( T^{22} - \)\(12\!\cdots\!64\)\( T^{23} + \)\(20\!\cdots\!93\)\( T^{24} - \)\(10\!\cdots\!28\)\( T^{25} + \)\(19\!\cdots\!97\)\( T^{26} - \)\(76\!\cdots\!80\)\( T^{27} + \)\(22\!\cdots\!04\)\( T^{28} - \)\(20\!\cdots\!80\)\( T^{29} + \)\(33\!\cdots\!53\)\( T^{30} - \)\(34\!\cdots\!72\)\( T^{31} + \)\(21\!\cdots\!90\)\( T^{32} - \)\(26\!\cdots\!36\)\( T^{33} + \)\(14\!\cdots\!33\)\( T^{34} - \)\(71\!\cdots\!40\)\( T^{35} + \)\(46\!\cdots\!02\)\( T^{36} + \)\(56\!\cdots\!07\)\( T^{38} + \)\(22\!\cdots\!01\)\( T^{40} \))(\( 1 + 1205685913 T^{2} + 766333859191038610 T^{4} + \)\(34\!\cdots\!95\)\( T^{6} + \)\(12\!\cdots\!26\)\( T^{8} + \)\(35\!\cdots\!71\)\( T^{10} + \)\(88\!\cdots\!72\)\( T^{12} + \)\(19\!\cdots\!75\)\( T^{14} + \)\(37\!\cdots\!73\)\( T^{16} + \)\(65\!\cdots\!78\)\( T^{18} + \)\(10\!\cdots\!24\)\( T^{20} + \)\(14\!\cdots\!22\)\( T^{22} + \)\(17\!\cdots\!73\)\( T^{24} + \)\(19\!\cdots\!75\)\( T^{26} + \)\(19\!\cdots\!72\)\( T^{28} + \)\(16\!\cdots\!79\)\( T^{30} + \)\(12\!\cdots\!26\)\( T^{32} + \)\(75\!\cdots\!55\)\( T^{34} + \)\(36\!\cdots\!10\)\( T^{36} + \)\(12\!\cdots\!37\)\( T^{38} + \)\(22\!\cdots\!01\)\( T^{40} \))
$47$ (\( 1 - 8124 T + 229345007 T^{2} \))(\( 1 - 12666 T + 229345007 T^{2} \))(\( 1 - 7638 T + 229345007 T^{2} \))(\( 1 + 29832 T + 229345007 T^{2} \))(\( 1 + 229345007 T^{2} \))(\( 1 + 229345007 T^{2} \))(\( 1 - 29832 T + 229345007 T^{2} \))(\( 1 + 7638 T + 229345007 T^{2} \))(\( 1 + 12666 T + 229345007 T^{2} \))(\( 1 + 8124 T + 229345007 T^{2} \))(\( 1 - 1116 T + 71228386 T^{2} - 255949027812 T^{3} + 52599132235830049 T^{4} \))(\( 1 + 14028 T + 424343170 T^{2} + 3217251758196 T^{3} + 52599132235830049 T^{4} \))(\( 1 - 28116 T + 642581038 T^{2} - 6448264216812 T^{3} + 52599132235830049 T^{4} \))(\( 1 - 156 T + 438351202 T^{2} - 35777821092 T^{3} + 52599132235830049 T^{4} \))(\( 1 + 37745758 T^{2} + 52599132235830049 T^{4} \))(\( 1 + 341046910 T^{2} + 52599132235830049 T^{4} \))(\( 1 + 18468 T + 312496354 T^{2} + 4235543589276 T^{3} + 52599132235830049 T^{4} \))(\( 1 - 18468 T + 312496354 T^{2} - 4235543589276 T^{3} + 52599132235830049 T^{4} \))(\( 1 + 156 T + 438351202 T^{2} + 35777821092 T^{3} + 52599132235830049 T^{4} \))(\( 1 + 28116 T + 642581038 T^{2} + 6448264216812 T^{3} + 52599132235830049 T^{4} \))(\( 1 - 14028 T + 424343170 T^{2} - 3217251758196 T^{3} + 52599132235830049 T^{4} \))(\( 1 + 1116 T + 71228386 T^{2} + 255949027812 T^{3} + 52599132235830049 T^{4} \))(\( 1 + 35340 T + 945684861 T^{2} + 15284378724648 T^{3} + 216888101065839027 T^{4} + \)\(18\!\cdots\!60\)\( T^{5} + \)\(12\!\cdots\!43\)\( T^{6} \))(\( 1 - 35340 T + 945684861 T^{2} - 15284378724648 T^{3} + 216888101065839027 T^{4} - \)\(18\!\cdots\!60\)\( T^{5} + \)\(12\!\cdots\!43\)\( T^{6} \))(\( ( 1 + 229345007 T^{2} )^{2} \))(\( ( 1 + 229345007 T^{2} )^{2} \))(\( ( 1 + 178322446 T^{2} + 52599132235830049 T^{4} )^{2} \))(\( ( 1 + 384647806 T^{2} + 52599132235830049 T^{4} )^{2} \))(\( ( 1 + 281160236 T^{2} + 75951389315227110 T^{4} + \)\(14\!\cdots\!64\)\( T^{6} + \)\(27\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 + 764408612 T^{2} + 251028938373482886 T^{4} + \)\(40\!\cdots\!88\)\( T^{6} + \)\(27\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 - 69010026 T^{2} + 18111513461146287 T^{4} + \)\(12\!\cdots\!44\)\( T^{6} + \)\(95\!\cdots\!63\)\( T^{8} - \)\(19\!\cdots\!26\)\( T^{10} + \)\(14\!\cdots\!49\)\( T^{12} )^{2} \))(\( 1 - 24954 T + 21728789 T^{2} - 3550537792602 T^{3} + 165756186376684068 T^{4} - \)\(81\!\cdots\!14\)\( T^{5} + \)\(11\!\cdots\!61\)\( T^{6} - \)\(30\!\cdots\!22\)\( T^{7} + \)\(27\!\cdots\!01\)\( T^{8} \))(\( 1 - 12924 T - 448629342 T^{2} + 4068633746340 T^{3} + 160129591294416234 T^{4} - \)\(73\!\cdots\!76\)\( T^{5} - \)\(35\!\cdots\!10\)\( T^{6} - \)\(16\!\cdots\!32\)\( T^{7} + \)\(84\!\cdots\!66\)\( T^{8} + \)\(49\!\cdots\!20\)\( T^{9} - \)\(12\!\cdots\!42\)\( T^{10} - \)\(82\!\cdots\!68\)\( T^{11} + \)\(14\!\cdots\!49\)\( T^{12} \))(\( 1 + 60 T - 695011823 T^{2} + 3293074754652 T^{3} + 272693815319492413 T^{4} - \)\(15\!\cdots\!00\)\( T^{5} - \)\(70\!\cdots\!78\)\( T^{6} + \)\(17\!\cdots\!56\)\( T^{7} + \)\(15\!\cdots\!82\)\( T^{8} + \)\(41\!\cdots\!92\)\( T^{9} - \)\(37\!\cdots\!22\)\( T^{10} - \)\(18\!\cdots\!00\)\( T^{11} + \)\(75\!\cdots\!13\)\( T^{12} + \)\(20\!\cdots\!64\)\( T^{13} - \)\(10\!\cdots\!27\)\( T^{14} + \)\(20\!\cdots\!80\)\( T^{15} + \)\(76\!\cdots\!01\)\( T^{16} \))(\( 1 + 25155 T - 401246233 T^{2} - 14349179861244 T^{3} + 97557609874842960 T^{4} + \)\(41\!\cdots\!12\)\( T^{5} - \)\(25\!\cdots\!27\)\( T^{6} - \)\(55\!\cdots\!85\)\( T^{7} + \)\(12\!\cdots\!11\)\( T^{8} + \)\(42\!\cdots\!56\)\( T^{9} - \)\(37\!\cdots\!60\)\( T^{10} + \)\(96\!\cdots\!92\)\( T^{11} + \)\(67\!\cdots\!39\)\( T^{12} - \)\(67\!\cdots\!55\)\( T^{13} - \)\(71\!\cdots\!27\)\( T^{14} + \)\(26\!\cdots\!84\)\( T^{15} + \)\(14\!\cdots\!40\)\( T^{16} - \)\(47\!\cdots\!92\)\( T^{17} - \)\(30\!\cdots\!33\)\( T^{18} + \)\(44\!\cdots\!85\)\( T^{19} + \)\(40\!\cdots\!49\)\( T^{20} \))(\( 1 - 6621 T - 533369894 T^{2} + 17569640679837 T^{3} + 64218296273974477 T^{4} - \)\(74\!\cdots\!44\)\( T^{5} + \)\(13\!\cdots\!88\)\( T^{6} + \)\(10\!\cdots\!80\)\( T^{7} - \)\(55\!\cdots\!48\)\( T^{8} + \)\(75\!\cdots\!08\)\( T^{9} + \)\(79\!\cdots\!48\)\( T^{10} - \)\(29\!\cdots\!32\)\( T^{11} + \)\(30\!\cdots\!94\)\( T^{12} + \)\(42\!\cdots\!86\)\( T^{13} - \)\(11\!\cdots\!24\)\( T^{14} + \)\(96\!\cdots\!02\)\( T^{15} + \)\(16\!\cdots\!06\)\( T^{16} - \)\(36\!\cdots\!76\)\( T^{17} + \)\(21\!\cdots\!48\)\( T^{18} + \)\(47\!\cdots\!56\)\( T^{19} - \)\(80\!\cdots\!52\)\( T^{20} + \)\(33\!\cdots\!40\)\( T^{21} + \)\(10\!\cdots\!88\)\( T^{22} - \)\(13\!\cdots\!08\)\( T^{23} + \)\(25\!\cdots\!73\)\( T^{24} + \)\(16\!\cdots\!91\)\( T^{25} - \)\(11\!\cdots\!94\)\( T^{26} - \)\(32\!\cdots\!47\)\( T^{27} + \)\(11\!\cdots\!49\)\( T^{28} \))(\( 1 - 18651 T - 478342651 T^{2} + 16725616433838 T^{3} - 33307495516308636 T^{4} - \)\(54\!\cdots\!54\)\( T^{5} + \)\(55\!\cdots\!09\)\( T^{6} + \)\(88\!\cdots\!55\)\( T^{7} - \)\(14\!\cdots\!23\)\( T^{8} - \)\(20\!\cdots\!40\)\( T^{9} + \)\(46\!\cdots\!92\)\( T^{10} + \)\(52\!\cdots\!36\)\( T^{11} - \)\(16\!\cdots\!66\)\( T^{12} - \)\(76\!\cdots\!58\)\( T^{13} + \)\(33\!\cdots\!34\)\( T^{14} - \)\(94\!\cdots\!12\)\( T^{15} - \)\(52\!\cdots\!12\)\( T^{16} - \)\(21\!\cdots\!84\)\( T^{17} + \)\(17\!\cdots\!66\)\( T^{18} - \)\(92\!\cdots\!94\)\( T^{19} - \)\(46\!\cdots\!66\)\( T^{20} + \)\(33\!\cdots\!52\)\( T^{21} + \)\(67\!\cdots\!08\)\( T^{22} - \)\(68\!\cdots\!20\)\( T^{23} - \)\(11\!\cdots\!23\)\( T^{24} + \)\(15\!\cdots\!85\)\( T^{25} + \)\(22\!\cdots\!41\)\( T^{26} - \)\(49\!\cdots\!22\)\( T^{27} - \)\(70\!\cdots\!36\)\( T^{28} + \)\(81\!\cdots\!66\)\( T^{29} - \)\(53\!\cdots\!99\)\( T^{30} - \)\(47\!\cdots\!93\)\( T^{31} + \)\(58\!\cdots\!01\)\( T^{32} \))(\( 1 - 15315 T - 1030512506 T^{2} + 17817892408023 T^{3} + 526181020036296649 T^{4} - \)\(10\!\cdots\!48\)\( T^{5} - \)\(16\!\cdots\!30\)\( T^{6} + \)\(41\!\cdots\!62\)\( T^{7} + \)\(30\!\cdots\!44\)\( T^{8} - \)\(11\!\cdots\!42\)\( T^{9} - \)\(10\!\cdots\!82\)\( T^{10} + \)\(25\!\cdots\!56\)\( T^{11} - \)\(21\!\cdots\!69\)\( T^{12} - \)\(40\!\cdots\!13\)\( T^{13} + \)\(85\!\cdots\!22\)\( T^{14} + \)\(40\!\cdots\!33\)\( T^{15} - \)\(21\!\cdots\!41\)\( T^{16} - \)\(13\!\cdots\!60\)\( T^{17} + \)\(42\!\cdots\!68\)\( T^{18} - \)\(95\!\cdots\!24\)\( T^{19} - \)\(87\!\cdots\!88\)\( T^{20} - \)\(21\!\cdots\!68\)\( T^{21} + \)\(22\!\cdots\!32\)\( T^{22} - \)\(15\!\cdots\!80\)\( T^{23} - \)\(58\!\cdots\!41\)\( T^{24} + \)\(25\!\cdots\!31\)\( T^{25} + \)\(12\!\cdots\!78\)\( T^{26} - \)\(13\!\cdots\!59\)\( T^{27} - \)\(16\!\cdots\!69\)\( T^{28} + \)\(45\!\cdots\!92\)\( T^{29} - \)\(42\!\cdots\!18\)\( T^{30} - \)\(10\!\cdots\!06\)\( T^{31} + \)\(64\!\cdots\!44\)\( T^{32} + \)\(20\!\cdots\!34\)\( T^{33} - \)\(18\!\cdots\!70\)\( T^{34} - \)\(26\!\cdots\!64\)\( T^{35} + \)\(30\!\cdots\!49\)\( T^{36} + \)\(23\!\cdots\!61\)\( T^{37} - \)\(31\!\cdots\!94\)\( T^{38} - \)\(10\!\cdots\!45\)\( T^{39} + \)\(16\!\cdots\!01\)\( T^{40} \))(\( 1 + 15315 T - 1030512506 T^{2} - 17817892408023 T^{3} + 526181020036296649 T^{4} + \)\(10\!\cdots\!48\)\( T^{5} - \)\(16\!\cdots\!30\)\( T^{6} - \)\(41\!\cdots\!62\)\( T^{7} + \)\(30\!\cdots\!44\)\( T^{8} + \)\(11\!\cdots\!42\)\( T^{9} - \)\(10\!\cdots\!82\)\( T^{10} - \)\(25\!\cdots\!56\)\( T^{11} - \)\(21\!\cdots\!69\)\( T^{12} + \)\(40\!\cdots\!13\)\( T^{13} + \)\(85\!\cdots\!22\)\( T^{14} - \)\(40\!\cdots\!33\)\( T^{15} - \)\(21\!\cdots\!41\)\( T^{16} + \)\(13\!\cdots\!60\)\( T^{17} + \)\(42\!\cdots\!68\)\( T^{18} + \)\(95\!\cdots\!24\)\( T^{19} - \)\(87\!\cdots\!88\)\( T^{20} + \)\(21\!\cdots\!68\)\( T^{21} + \)\(22\!\cdots\!32\)\( T^{22} + \)\(15\!\cdots\!80\)\( T^{23} - \)\(58\!\cdots\!41\)\( T^{24} - \)\(25\!\cdots\!31\)\( T^{25} + \)\(12\!\cdots\!78\)\( T^{26} + \)\(13\!\cdots\!59\)\( T^{27} - \)\(16\!\cdots\!69\)\( T^{28} - \)\(45\!\cdots\!92\)\( T^{29} - \)\(42\!\cdots\!18\)\( T^{30} + \)\(10\!\cdots\!06\)\( T^{31} + \)\(64\!\cdots\!44\)\( T^{32} - \)\(20\!\cdots\!34\)\( T^{33} - \)\(18\!\cdots\!70\)\( T^{34} + \)\(26\!\cdots\!64\)\( T^{35} + \)\(30\!\cdots\!49\)\( T^{36} - \)\(23\!\cdots\!61\)\( T^{37} - \)\(31\!\cdots\!94\)\( T^{38} + \)\(10\!\cdots\!45\)\( T^{39} + \)\(16\!\cdots\!01\)\( T^{40} \))(\( 1 - 1302765665 T^{2} + 806127127276798789 T^{4} - \)\(34\!\cdots\!78\)\( T^{6} + \)\(11\!\cdots\!38\)\( T^{8} - \)\(38\!\cdots\!02\)\( T^{10} + \)\(11\!\cdots\!87\)\( T^{12} - \)\(31\!\cdots\!47\)\( T^{14} + \)\(84\!\cdots\!07\)\( T^{16} - \)\(21\!\cdots\!80\)\( T^{18} + \)\(50\!\cdots\!48\)\( T^{20} - \)\(11\!\cdots\!20\)\( T^{22} + \)\(23\!\cdots\!07\)\( T^{24} - \)\(45\!\cdots\!03\)\( T^{26} + \)\(86\!\cdots\!87\)\( T^{28} - \)\(15\!\cdots\!98\)\( T^{30} + \)\(25\!\cdots\!38\)\( T^{32} - \)\(37\!\cdots\!22\)\( T^{34} + \)\(47\!\cdots\!89\)\( T^{36} - \)\(40\!\cdots\!85\)\( T^{38} + \)\(16\!\cdots\!01\)\( T^{40} \))
$53$ (\( 1 - 33192 T + 418195493 T^{2} \))(\( 1 - 9621 T + 418195493 T^{2} \))(\( 1 - 12361 T + 418195493 T^{2} \))(\( 1 + 22608 T + 418195493 T^{2} \))(\( 1 + 418195493 T^{2} \))(\( 1 + 418195493 T^{2} \))(\( 1 - 22608 T + 418195493 T^{2} \))(\( 1 + 12361 T + 418195493 T^{2} \))(\( 1 + 9621 T + 418195493 T^{2} \))(\( 1 + 33192 T + 418195493 T^{2} \))(\( 1 + 4536 T + 660088897 T^{2} + 1896934756248 T^{3} + 174887470365513049 T^{4} \))(\( 1 + 15770 T - 48014929 T^{2} + 6594942924610 T^{3} + 174887470365513049 T^{4} \))(\( 1 + 46984 T + 1367689610 T^{2} + 19648497043112 T^{3} + 174887470365513049 T^{4} \))(\( 1 - 3004 T + 829164869 T^{2} - 1256259260972 T^{3} + 174887470365513049 T^{4} \))(\( 1 + 835271242 T^{2} + 174887470365513049 T^{4} \))(\( 1 - 31068470 T^{2} + 174887470365513049 T^{4} \))(\( 1 + 11664 T + 484234009 T^{2} + 4877832230352 T^{3} + 174887470365513049 T^{4} \))(\( 1 - 11664 T + 484234009 T^{2} - 4877832230352 T^{3} + 174887470365513049 T^{4} \))(\( 1 + 3004 T + 829164869 T^{2} + 1256259260972 T^{3} + 174887470365513049 T^{4} \))(\( 1 - 46984 T + 1367689610 T^{2} - 19648497043112 T^{3} + 174887470365513049 T^{4} \))(\( 1 - 15770 T - 48014929 T^{2} - 6594942924610 T^{3} + 174887470365513049 T^{4} \))(\( 1 - 4536 T + 660088897 T^{2} - 1896934756248 T^{3} + 174887470365513049 T^{4} \))(\( 1 - 39624 T + 1657931055 T^{2} - 33702395146192 T^{3} + 693339294905735115 T^{4} - \)\(69\!\cdots\!76\)\( T^{5} + \)\(73\!\cdots\!57\)\( T^{6} \))(\( 1 + 39624 T + 1657931055 T^{2} + 33702395146192 T^{3} + 693339294905735115 T^{4} + \)\(69\!\cdots\!76\)\( T^{5} + \)\(73\!\cdots\!57\)\( T^{6} \))(\( ( 1 - 418195493 T^{2} )^{2} \))(\( ( 1 - 418195493 T^{2} )^{2} \))(\( ( 1 + 765045110 T^{2} + 174887470365513049 T^{4} )^{2} \))(\( ( 1 + 52115510 T^{2} + 174887470365513049 T^{4} )^{2} \))(\( ( 1 - 1672559060 T^{2} + 1049138380766850198 T^{4} - \)\(29\!\cdots\!40\)\( T^{6} + \)\(30\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 - 481263386 T^{2} + 392162480721799179 T^{4} - \)\(84\!\cdots\!14\)\( T^{6} + \)\(30\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 - 1800292467 T^{2} + 1509859391484075342 T^{4} - \)\(77\!\cdots\!91\)\( T^{6} + \)\(26\!\cdots\!58\)\( T^{8} - \)\(55\!\cdots\!67\)\( T^{10} + \)\(53\!\cdots\!49\)\( T^{12} )^{2} \))(\( ( 1 - 16332 T + 896230798 T^{2} - 6829968791676 T^{3} + 174887470365513049 T^{4} )^{2} \))(\( ( 1 - 48024 T + 1811738067 T^{2} - 41931353529216 T^{3} + 757660694115932031 T^{4} - \)\(83\!\cdots\!76\)\( T^{5} + \)\(73\!\cdots\!57\)\( T^{6} )^{2} \))(\( ( 1 + 10476 T + 1064413976 T^{2} + 16431260960628 T^{3} + 549720542476264830 T^{4} + \)\(68\!\cdots\!04\)\( T^{5} + \)\(18\!\cdots\!24\)\( T^{6} + \)\(76\!\cdots\!32\)\( T^{7} + \)\(30\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 + 58422 T + 3354568213 T^{2} + 110313236959296 T^{3} + 3390725554692289246 T^{4} + \)\(71\!\cdots\!28\)\( T^{5} + \)\(14\!\cdots\!78\)\( T^{6} + \)\(19\!\cdots\!04\)\( T^{7} + \)\(24\!\cdots\!41\)\( T^{8} + \)\(17\!\cdots\!22\)\( T^{9} + \)\(12\!\cdots\!93\)\( T^{10} )^{2} \))(\( ( 1 - 18118 T + 1311642011 T^{2} - 23787594499172 T^{3} + 1115922058804459445 T^{4} - \)\(18\!\cdots\!66\)\( T^{5} + \)\(63\!\cdots\!59\)\( T^{6} - \)\(93\!\cdots\!04\)\( T^{7} + \)\(26\!\cdots\!87\)\( T^{8} - \)\(33\!\cdots\!34\)\( T^{9} + \)\(81\!\cdots\!65\)\( T^{10} - \)\(72\!\cdots\!72\)\( T^{11} + \)\(16\!\cdots\!23\)\( T^{12} - \)\(96\!\cdots\!82\)\( T^{13} + \)\(22\!\cdots\!57\)\( T^{14} )^{2} \))(\( ( 1 + 13574 T + 1121284472 T^{2} + 17073561025410 T^{3} + 432137755729592684 T^{4} + \)\(60\!\cdots\!98\)\( T^{5} + \)\(60\!\cdots\!56\)\( T^{6} - \)\(70\!\cdots\!50\)\( T^{7} + \)\(23\!\cdots\!86\)\( T^{8} - \)\(29\!\cdots\!50\)\( T^{9} + \)\(10\!\cdots\!44\)\( T^{10} + \)\(44\!\cdots\!86\)\( T^{11} + \)\(13\!\cdots\!84\)\( T^{12} + \)\(21\!\cdots\!30\)\( T^{13} + \)\(59\!\cdots\!28\)\( T^{14} + \)\(30\!\cdots\!18\)\( T^{15} + \)\(93\!\cdots\!01\)\( T^{16} )^{2} \))(\( 1 - 3771418516 T^{2} + 7308335664779525326 T^{4} - \)\(96\!\cdots\!60\)\( T^{6} + \)\(97\!\cdots\!09\)\( T^{8} - \)\(80\!\cdots\!36\)\( T^{10} + \)\(55\!\cdots\!52\)\( T^{12} - \)\(33\!\cdots\!48\)\( T^{14} + \)\(17\!\cdots\!74\)\( T^{16} - \)\(86\!\cdots\!08\)\( T^{18} + \)\(37\!\cdots\!84\)\( T^{20} - \)\(15\!\cdots\!92\)\( T^{22} + \)\(54\!\cdots\!74\)\( T^{24} - \)\(17\!\cdots\!52\)\( T^{26} + \)\(52\!\cdots\!52\)\( T^{28} - \)\(13\!\cdots\!64\)\( T^{30} + \)\(27\!\cdots\!09\)\( T^{32} - \)\(48\!\cdots\!40\)\( T^{34} + \)\(63\!\cdots\!26\)\( T^{36} - \)\(57\!\cdots\!84\)\( T^{38} + \)\(26\!\cdots\!01\)\( T^{40} \))(\( 1 - 3771418516 T^{2} + 7308335664779525326 T^{4} - \)\(96\!\cdots\!60\)\( T^{6} + \)\(97\!\cdots\!09\)\( T^{8} - \)\(80\!\cdots\!36\)\( T^{10} + \)\(55\!\cdots\!52\)\( T^{12} - \)\(33\!\cdots\!48\)\( T^{14} + \)\(17\!\cdots\!74\)\( T^{16} - \)\(86\!\cdots\!08\)\( T^{18} + \)\(37\!\cdots\!84\)\( T^{20} - \)\(15\!\cdots\!92\)\( T^{22} + \)\(54\!\cdots\!74\)\( T^{24} - \)\(17\!\cdots\!52\)\( T^{26} + \)\(52\!\cdots\!52\)\( T^{28} - \)\(13\!\cdots\!64\)\( T^{30} + \)\(27\!\cdots\!09\)\( T^{32} - \)\(48\!\cdots\!40\)\( T^{34} + \)\(63\!\cdots\!26\)\( T^{36} - \)\(57\!\cdots\!84\)\( T^{38} + \)\(26\!\cdots\!01\)\( T^{40} \))(\( ( 1 - 2756106854 T^{2} + 3602997115419941829 T^{4} - \)\(30\!\cdots\!88\)\( T^{6} + \)\(18\!\cdots\!02\)\( T^{8} - \)\(86\!\cdots\!04\)\( T^{10} + \)\(32\!\cdots\!98\)\( T^{12} - \)\(92\!\cdots\!88\)\( T^{14} + \)\(19\!\cdots\!21\)\( T^{16} - \)\(25\!\cdots\!54\)\( T^{18} + \)\(16\!\cdots\!49\)\( T^{20} )^{2} \))
$59$ (\( 1 - 42492 T + 714924299 T^{2} \))(\( 1 + 21468 T + 714924299 T^{2} \))(\( 1 - 43964 T + 714924299 T^{2} \))(\( 1 - 19608 T + 714924299 T^{2} \))(\( 1 + 714924299 T^{2} \))(\( 1 + 714924299 T^{2} \))(\( 1 + 19608 T + 714924299 T^{2} \))(\( 1 + 43964 T + 714924299 T^{2} \))(\( 1 - 21468 T + 714924299 T^{2} \))(\( 1 + 42492 T + 714924299 T^{2} \))(\( 1 + 67320 T + 2518887910 T^{2} + 48128703808680 T^{3} + 511116753300641401 T^{4} \))(\( 1 - 33752 T + 1368434534 T^{2} - 24130124939848 T^{3} + 511116753300641401 T^{4} \))(\( 1 - 20788 T + 264847334 T^{2} - 14861846327612 T^{3} + 511116753300641401 T^{4} \))(\( 1 - 27704 T + 1552385318 T^{2} - 19806262779496 T^{3} + 511116753300641401 T^{4} \))(\( 1 + 484532374 T^{2} + 511116753300641401 T^{4} \))(\( 1 + 1396994998 T^{2} + 511116753300641401 T^{4} \))(\( 1 + 1944 T + 961283686 T^{2} + 1389812837256 T^{3} + 511116753300641401 T^{4} \))(\( 1 - 1944 T + 961283686 T^{2} - 1389812837256 T^{3} + 511116753300641401 T^{4} \))(\( 1 + 27704 T + 1552385318 T^{2} + 19806262779496 T^{3} + 511116753300641401 T^{4} \))(\( 1 + 20788 T + 264847334 T^{2} + 14861846327612 T^{3} + 511116753300641401 T^{4} \))(\( 1 + 33752 T + 1368434534 T^{2} + 24130124939848 T^{3} + 511116753300641401 T^{4} \))(\( 1 - 67320 T + 2518887910 T^{2} - 48128703808680 T^{3} + 511116753300641401 T^{4} \))(\( 1 + 104700 T + 5648926545 T^{2} + 186671780921704 T^{3} + 4038554850286616955 T^{4} + \)\(53\!\cdots\!00\)\( T^{5} + \)\(36\!\cdots\!99\)\( T^{6} \))(\( 1 - 104700 T + 5648926545 T^{2} - 186671780921704 T^{3} + 4038554850286616955 T^{4} - \)\(53\!\cdots\!00\)\( T^{5} + \)\(36\!\cdots\!99\)\( T^{6} \))(\( ( 1 + 714924299 T^{2} )^{2} \))(\( ( 1 + 714924299 T^{2} )^{2} \))(\( ( 1 + 1174955206 T^{2} + 511116753300641401 T^{4} )^{2} \))(\( ( 1 - 238252874 T^{2} + 511116753300641401 T^{4} )^{2} \))(\( ( 1 + 2247448220 T^{2} + 2255665372531483254 T^{4} + \)\(11\!\cdots\!20\)\( T^{6} + \)\(26\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 + 2113634708 T^{2} + 2085356609015928918 T^{4} + \)\(10\!\cdots\!08\)\( T^{6} + \)\(26\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 + 1757282430 T^{2} + 727073932782407703 T^{4} - \)\(33\!\cdots\!40\)\( T^{6} + \)\(37\!\cdots\!03\)\( T^{8} + \)\(45\!\cdots\!30\)\( T^{10} + \)\(13\!\cdots\!01\)\( T^{12} )^{2} \))(\( 1 - 21966 T - 1047077995 T^{2} - 2190769191198 T^{3} + 1483553202105261756 T^{4} - \)\(15\!\cdots\!02\)\( T^{5} - \)\(53\!\cdots\!95\)\( T^{6} - \)\(80\!\cdots\!34\)\( T^{7} + \)\(26\!\cdots\!01\)\( T^{8} \))(\( 1 - 62955 T + 1128633393 T^{2} - 9982647295866 T^{3} + 705724247444789571 T^{4} - \)\(15\!\cdots\!79\)\( T^{5} + \)\(56\!\cdots\!06\)\( T^{6} - \)\(11\!\cdots\!21\)\( T^{7} + \)\(36\!\cdots\!71\)\( T^{8} - \)\(36\!\cdots\!34\)\( T^{9} + \)\(29\!\cdots\!93\)\( T^{10} - \)\(11\!\cdots\!45\)\( T^{11} + \)\(13\!\cdots\!01\)\( T^{12} \))(\( 1 - 2076 T - 2248193858 T^{2} + 15695201332392 T^{3} + 2863253985413117089 T^{4} - \)\(21\!\cdots\!96\)\( T^{5} - \)\(25\!\cdots\!86\)\( T^{6} + \)\(73\!\cdots\!56\)\( T^{7} + \)\(18\!\cdots\!76\)\( T^{8} + \)\(52\!\cdots\!44\)\( T^{9} - \)\(12\!\cdots\!86\)\( T^{10} - \)\(77\!\cdots\!04\)\( T^{11} + \)\(74\!\cdots\!89\)\( T^{12} + \)\(29\!\cdots\!08\)\( T^{13} - \)\(30\!\cdots\!58\)\( T^{14} - \)\(19\!\cdots\!24\)\( T^{15} + \)\(68\!\cdots\!01\)\( T^{16} \))(\( 1 + 90537 T + 2831117840 T^{2} + 13805150996349 T^{3} - 966660594685472478 T^{4} - \)\(10\!\cdots\!09\)\( T^{5} + \)\(69\!\cdots\!78\)\( T^{6} + \)\(39\!\cdots\!93\)\( T^{7} + \)\(84\!\cdots\!01\)\( T^{8} - \)\(17\!\cdots\!74\)\( T^{9} - \)\(12\!\cdots\!20\)\( T^{10} - \)\(12\!\cdots\!26\)\( T^{11} + \)\(42\!\cdots\!01\)\( T^{12} + \)\(14\!\cdots\!07\)\( T^{13} + \)\(18\!\cdots\!78\)\( T^{14} - \)\(19\!\cdots\!91\)\( T^{15} - \)\(12\!\cdots\!78\)\( T^{16} + \)\(13\!\cdots\!51\)\( T^{17} + \)\(19\!\cdots\!40\)\( T^{18} + \)\(44\!\cdots\!63\)\( T^{19} + \)\(34\!\cdots\!01\)\( T^{20} \))(\( 1 + 46241 T + 243574211 T^{2} + 61572307402616 T^{3} + 2814190939651890498 T^{4} - \)\(37\!\cdots\!42\)\( T^{5} + \)\(18\!\cdots\!11\)\( T^{6} + \)\(96\!\cdots\!49\)\( T^{7} - \)\(46\!\cdots\!68\)\( T^{8} + \)\(41\!\cdots\!49\)\( T^{9} + \)\(20\!\cdots\!33\)\( T^{10} - \)\(21\!\cdots\!78\)\( T^{11} + \)\(88\!\cdots\!93\)\( T^{12} + \)\(32\!\cdots\!11\)\( T^{13} - \)\(49\!\cdots\!54\)\( T^{14} + \)\(23\!\cdots\!89\)\( T^{15} + \)\(45\!\cdots\!93\)\( T^{16} - \)\(78\!\cdots\!22\)\( T^{17} + \)\(54\!\cdots\!33\)\( T^{18} + \)\(77\!\cdots\!51\)\( T^{19} - \)\(62\!\cdots\!68\)\( T^{20} + \)\(92\!\cdots\!51\)\( T^{21} + \)\(12\!\cdots\!11\)\( T^{22} - \)\(18\!\cdots\!58\)\( T^{23} + \)\(98\!\cdots\!98\)\( T^{24} + \)\(15\!\cdots\!84\)\( T^{25} + \)\(43\!\cdots\!11\)\( T^{26} + \)\(58\!\cdots\!59\)\( T^{27} + \)\(91\!\cdots\!01\)\( T^{28} \))(\( 1 + 5252 T - 3858271396 T^{2} - 10135261277120 T^{3} + 7800958924504670150 T^{4} + \)\(52\!\cdots\!36\)\( T^{5} - \)\(10\!\cdots\!40\)\( T^{6} + \)\(63\!\cdots\!24\)\( T^{7} + \)\(11\!\cdots\!89\)\( T^{8} - \)\(15\!\cdots\!68\)\( T^{9} - \)\(10\!\cdots\!96\)\( T^{10} + \)\(16\!\cdots\!36\)\( T^{11} + \)\(79\!\cdots\!46\)\( T^{12} - \)\(11\!\cdots\!36\)\( T^{13} - \)\(55\!\cdots\!28\)\( T^{14} + \)\(33\!\cdots\!52\)\( T^{15} + \)\(38\!\cdots\!20\)\( T^{16} + \)\(23\!\cdots\!48\)\( T^{17} - \)\(28\!\cdots\!28\)\( T^{18} - \)\(41\!\cdots\!64\)\( T^{19} + \)\(20\!\cdots\!46\)\( T^{20} + \)\(30\!\cdots\!64\)\( T^{21} - \)\(13\!\cdots\!96\)\( T^{22} - \)\(14\!\cdots\!32\)\( T^{23} + \)\(80\!\cdots\!89\)\( T^{24} + \)\(31\!\cdots\!76\)\( T^{25} - \)\(38\!\cdots\!40\)\( T^{26} + \)\(13\!\cdots\!64\)\( T^{27} + \)\(13\!\cdots\!50\)\( T^{28} - \)\(12\!\cdots\!80\)\( T^{29} - \)\(35\!\cdots\!96\)\( T^{30} + \)\(34\!\cdots\!48\)\( T^{31} + \)\(46\!\cdots\!01\)\( T^{32} \))(\( 1 + 13308 T - 5035707281 T^{2} - 63321413127324 T^{3} + 13095920403996879118 T^{4} + \)\(15\!\cdots\!48\)\( T^{5} - \)\(24\!\cdots\!27\)\( T^{6} - \)\(26\!\cdots\!76\)\( T^{7} + \)\(35\!\cdots\!38\)\( T^{8} + \)\(35\!\cdots\!48\)\( T^{9} - \)\(43\!\cdots\!79\)\( T^{10} - \)\(38\!\cdots\!16\)\( T^{11} + \)\(46\!\cdots\!68\)\( T^{12} + \)\(34\!\cdots\!48\)\( T^{13} - \)\(45\!\cdots\!31\)\( T^{14} - \)\(24\!\cdots\!88\)\( T^{15} + \)\(39\!\cdots\!97\)\( T^{16} + \)\(13\!\cdots\!92\)\( T^{17} - \)\(31\!\cdots\!62\)\( T^{18} - \)\(35\!\cdots\!24\)\( T^{19} + \)\(23\!\cdots\!04\)\( T^{20} - \)\(25\!\cdots\!76\)\( T^{21} - \)\(16\!\cdots\!62\)\( T^{22} + \)\(49\!\cdots\!08\)\( T^{23} + \)\(10\!\cdots\!97\)\( T^{24} - \)\(46\!\cdots\!12\)\( T^{25} - \)\(60\!\cdots\!31\)\( T^{26} + \)\(32\!\cdots\!52\)\( T^{27} + \)\(31\!\cdots\!68\)\( T^{28} - \)\(18\!\cdots\!84\)\( T^{29} - \)\(15\!\cdots\!79\)\( T^{30} + \)\(87\!\cdots\!52\)\( T^{31} + \)\(62\!\cdots\!38\)\( T^{32} - \)\(33\!\cdots\!24\)\( T^{33} - \)\(21\!\cdots\!27\)\( T^{34} + \)\(10\!\cdots\!52\)\( T^{35} + \)\(60\!\cdots\!18\)\( T^{36} - \)\(21\!\cdots\!76\)\( T^{37} - \)\(11\!\cdots\!81\)\( T^{38} + \)\(22\!\cdots\!92\)\( T^{39} + \)\(12\!\cdots\!01\)\( T^{40} \))(\( 1 - 13308 T - 5035707281 T^{2} + 63321413127324 T^{3} + 13095920403996879118 T^{4} - \)\(15\!\cdots\!48\)\( T^{5} - \)\(24\!\cdots\!27\)\( T^{6} + \)\(26\!\cdots\!76\)\( T^{7} + \)\(35\!\cdots\!38\)\( T^{8} - \)\(35\!\cdots\!48\)\( T^{9} - \)\(43\!\cdots\!79\)\( T^{10} + \)\(38\!\cdots\!16\)\( T^{11} + \)\(46\!\cdots\!68\)\( T^{12} - \)\(34\!\cdots\!48\)\( T^{13} - \)\(45\!\cdots\!31\)\( T^{14} + \)\(24\!\cdots\!88\)\( T^{15} + \)\(39\!\cdots\!97\)\( T^{16} - \)\(13\!\cdots\!92\)\( T^{17} - \)\(31\!\cdots\!62\)\( T^{18} + \)\(35\!\cdots\!24\)\( T^{19} + \)\(23\!\cdots\!04\)\( T^{20} + \)\(25\!\cdots\!76\)\( T^{21} - \)\(16\!\cdots\!62\)\( T^{22} - \)\(49\!\cdots\!08\)\( T^{23} + \)\(10\!\cdots\!97\)\( T^{24} + \)\(46\!\cdots\!12\)\( T^{25} - \)\(60\!\cdots\!31\)\( T^{26} - \)\(32\!\cdots\!52\)\( T^{27} + \)\(31\!\cdots\!68\)\( T^{28} + \)\(18\!\cdots\!84\)\( T^{29} - \)\(15\!\cdots\!79\)\( T^{30} - \)\(87\!\cdots\!52\)\( T^{31} + \)\(62\!\cdots\!38\)\( T^{32} + \)\(33\!\cdots\!24\)\( T^{33} - \)\(21\!\cdots\!27\)\( T^{34} - \)\(10\!\cdots\!52\)\( T^{35} + \)\(60\!\cdots\!18\)\( T^{36} + \)\(21\!\cdots\!76\)\( T^{37} - \)\(11\!\cdots\!81\)\( T^{38} - \)\(22\!\cdots\!92\)\( T^{39} + \)\(12\!\cdots\!01\)\( T^{40} \))(\( 1 - 1158955247 T^{2} - 1628128517800306622 T^{4} + \)\(13\!\cdots\!95\)\( T^{6} + \)\(27\!\cdots\!54\)\( T^{8} - \)\(14\!\cdots\!93\)\( T^{10} - \)\(26\!\cdots\!08\)\( T^{12} + \)\(65\!\cdots\!43\)\( T^{14} + \)\(22\!\cdots\!01\)\( T^{16} - \)\(20\!\cdots\!94\)\( T^{18} - \)\(12\!\cdots\!60\)\( T^{20} - \)\(10\!\cdots\!94\)\( T^{22} + \)\(57\!\cdots\!01\)\( T^{24} + \)\(87\!\cdots\!43\)\( T^{26} - \)\(18\!\cdots\!08\)\( T^{28} - \)\(51\!\cdots\!93\)\( T^{30} + \)\(49\!\cdots\!54\)\( T^{32} + \)\(12\!\cdots\!95\)\( T^{34} - \)\(75\!\cdots\!22\)\( T^{36} - \)\(27\!\cdots\!47\)\( T^{38} + \)\(12\!\cdots\!01\)\( T^{40} \))
$61$ (\( 1 + 17833 T + 844596301 T^{2} \))(\( 1 - 36248 T + 844596301 T^{2} \))(\( 1 + 2552 T + 844596301 T^{2} \))(\( 1 + 22045 T + 844596301 T^{2} \))(\( 1 - 56927 T + 844596301 T^{2} \))(\( 1 + 18301 T + 844596301 T^{2} \))(\( 1 + 22045 T + 844596301 T^{2} \))(\( 1 + 2552 T + 844596301 T^{2} \))(\( 1 - 36248 T + 844596301 T^{2} \))(\( 1 + 17833 T + 844596301 T^{2} \))(\( 1 + 49904 T + 2108747994 T^{2} + 42148733805104 T^{3} + 713342911662882601 T^{4} \))(\( 1 - 96224 T + 3914340186 T^{2} - 81270434467424 T^{3} + 713342911662882601 T^{4} \))(\( 1 + 11770 T + 1507312467 T^{2} + 9940898462770 T^{3} + 713342911662882601 T^{4} \))(\( 1 + 57856 T + 2525901402 T^{2} + 48864963590656 T^{3} + 713342911662882601 T^{4} \))(\( ( 1 + 7393 T + 844596301 T^{2} )^{2} \))(\( ( 1 + 1069 T + 844596301 T^{2} )^{2} \))(\( 1 - 8176 T - 15702054 T^{2} - 6905419356976 T^{3} + 713342911662882601 T^{4} \))(\( 1 - 8176 T - 15702054 T^{2} - 6905419356976 T^{3} + 713342911662882601 T^{4} \))(\( 1 + 57856 T + 2525901402 T^{2} + 48864963590656 T^{3} + 713342911662882601 T^{4} \))(\( 1 + 11770 T + 1507312467 T^{2} + 9940898462770 T^{3} + 713342911662882601 T^{4} \))(\( 1 - 96224 T + 3914340186 T^{2} - 81270434467424 T^{3} + 713342911662882601 T^{4} \))(\( 1 + 49904 T + 2108747994 T^{2} + 42148733805104 T^{3} + 713342911662882601 T^{4} \))(\( 1 - 35073 T + 2883014802 T^{2} - 60038505010861 T^{3} + 2434983637497447402 T^{4} - \)\(25\!\cdots\!73\)\( T^{5} + \)\(60\!\cdots\!01\)\( T^{6} \))(\( 1 - 35073 T + 2883014802 T^{2} - 60038505010861 T^{3} + 2434983637497447402 T^{4} - \)\(25\!\cdots\!73\)\( T^{5} + \)\(60\!\cdots\!01\)\( T^{6} \))(\( ( 1 - 56927 T + 844596301 T^{2} )^{2} \))(\( ( 1 + 18301 T + 844596301 T^{2} )^{2} \))(\( ( 1 - 16799 T + 844596301 T^{2} )^{4} \))(\( ( 1 + 50173 T + 844596301 T^{2} )^{4} \))(\( ( 1 - 35266 T + 1719105879 T^{2} - 29785533151066 T^{3} + 713342911662882601 T^{4} )^{4} \))(\( ( 1 - 13528 T + 1487667498 T^{2} - 11425698759928 T^{3} + 713342911662882601 T^{4} )^{4} \))(\( ( 1 - 26484 T + 1680705303 T^{2} - 30443152685960 T^{3} + 1419517481984884203 T^{4} - \)\(18\!\cdots\!84\)\( T^{5} + \)\(60\!\cdots\!01\)\( T^{6} )^{4} \))(\( 1 - 3050 T - 1573942703 T^{2} + 323139566950 T^{3} + 1785465604069576108 T^{4} + \)\(27\!\cdots\!50\)\( T^{5} - \)\(11\!\cdots\!03\)\( T^{6} - \)\(18\!\cdots\!50\)\( T^{7} + \)\(50\!\cdots\!01\)\( T^{8} \))(\( 1 + 75966 T + 1651965492 T^{2} + 45532183560440 T^{3} + 3331090328104364760 T^{4} + \)\(76\!\cdots\!06\)\( T^{5} + \)\(63\!\cdots\!14\)\( T^{6} + \)\(64\!\cdots\!06\)\( T^{7} + \)\(23\!\cdots\!60\)\( T^{8} + \)\(27\!\cdots\!40\)\( T^{9} + \)\(84\!\cdots\!92\)\( T^{10} + \)\(32\!\cdots\!66\)\( T^{11} + \)\(36\!\cdots\!01\)\( T^{12} \))(\( 1 - 48142 T - 755431725 T^{2} + 43590251951830 T^{3} + 1116615498545065565 T^{4} - \)\(17\!\cdots\!08\)\( T^{5} - \)\(17\!\cdots\!86\)\( T^{6} + \)\(66\!\cdots\!20\)\( T^{7} + \)\(16\!\cdots\!34\)\( T^{8} + \)\(56\!\cdots\!20\)\( T^{9} - \)\(12\!\cdots\!86\)\( T^{10} - \)\(10\!\cdots\!08\)\( T^{11} + \)\(56\!\cdots\!65\)\( T^{12} + \)\(18\!\cdots\!30\)\( T^{13} - \)\(27\!\cdots\!25\)\( T^{14} - \)\(14\!\cdots\!42\)\( T^{15} + \)\(25\!\cdots\!01\)\( T^{16} \))(\( 1 - 1403 T - 3536905883 T^{2} - 452840008146 T^{3} + 7065863261737144698 T^{4} + \)\(54\!\cdots\!90\)\( T^{5} - \)\(10\!\cdots\!33\)\( T^{6} - \)\(70\!\cdots\!89\)\( T^{7} + \)\(11\!\cdots\!67\)\( T^{8} + \)\(32\!\cdots\!04\)\( T^{9} - \)\(10\!\cdots\!12\)\( T^{10} + \)\(27\!\cdots\!04\)\( T^{11} + \)\(80\!\cdots\!67\)\( T^{12} - \)\(42\!\cdots\!89\)\( T^{13} - \)\(51\!\cdots\!33\)\( T^{14} + \)\(23\!\cdots\!90\)\( T^{15} + \)\(25\!\cdots\!98\)\( T^{16} - \)\(13\!\cdots\!46\)\( T^{17} - \)\(91\!\cdots\!83\)\( T^{18} - \)\(30\!\cdots\!03\)\( T^{19} + \)\(18\!\cdots\!01\)\( T^{20} \))(\( 1 - 52097 T + 863578572 T^{2} + 1263331168971 T^{3} - 2127122959172469747 T^{4} + \)\(11\!\cdots\!84\)\( T^{5} - \)\(25\!\cdots\!08\)\( T^{6} + \)\(32\!\cdots\!76\)\( T^{7} + \)\(19\!\cdots\!80\)\( T^{8} - \)\(13\!\cdots\!64\)\( T^{9} + \)\(37\!\cdots\!40\)\( T^{10} - \)\(73\!\cdots\!96\)\( T^{11} - \)\(62\!\cdots\!66\)\( T^{12} + \)\(98\!\cdots\!54\)\( T^{13} - \)\(34\!\cdots\!84\)\( T^{14} + \)\(82\!\cdots\!54\)\( T^{15} - \)\(44\!\cdots\!66\)\( T^{16} - \)\(44\!\cdots\!96\)\( T^{17} + \)\(19\!\cdots\!40\)\( T^{18} - \)\(56\!\cdots\!64\)\( T^{19} + \)\(69\!\cdots\!80\)\( T^{20} + \)\(99\!\cdots\!76\)\( T^{21} - \)\(65\!\cdots\!08\)\( T^{22} + \)\(24\!\cdots\!84\)\( T^{23} - \)\(39\!\cdots\!47\)\( T^{24} + \)\(19\!\cdots\!71\)\( T^{25} + \)\(11\!\cdots\!72\)\( T^{26} - \)\(57\!\cdots\!97\)\( T^{27} + \)\(93\!\cdots\!01\)\( T^{28} \))(\( 1 + 28727 T - 3368554313 T^{2} - 158770267526528 T^{3} + 4307631856591137578 T^{4} + \)\(35\!\cdots\!96\)\( T^{5} - \)\(12\!\cdots\!85\)\( T^{6} - \)\(45\!\cdots\!13\)\( T^{7} - \)\(31\!\cdots\!19\)\( T^{8} + \)\(42\!\cdots\!32\)\( T^{9} + \)\(54\!\cdots\!40\)\( T^{10} - \)\(33\!\cdots\!68\)\( T^{11} - \)\(66\!\cdots\!14\)\( T^{12} + \)\(23\!\cdots\!30\)\( T^{13} + \)\(79\!\cdots\!66\)\( T^{14} - \)\(80\!\cdots\!56\)\( T^{15} - \)\(78\!\cdots\!12\)\( T^{16} - \)\(68\!\cdots\!56\)\( T^{17} + \)\(56\!\cdots\!66\)\( T^{18} + \)\(13\!\cdots\!30\)\( T^{19} - \)\(33\!\cdots\!14\)\( T^{20} - \)\(14\!\cdots\!68\)\( T^{21} + \)\(19\!\cdots\!40\)\( T^{22} + \)\(12\!\cdots\!32\)\( T^{23} - \)\(82\!\cdots\!19\)\( T^{24} - \)\(99\!\cdots\!13\)\( T^{25} - \)\(23\!\cdots\!85\)\( T^{26} + \)\(55\!\cdots\!96\)\( T^{27} + \)\(56\!\cdots\!78\)\( T^{28} - \)\(17\!\cdots\!28\)\( T^{29} - \)\(31\!\cdots\!13\)\( T^{30} + \)\(22\!\cdots\!27\)\( T^{31} + \)\(67\!\cdots\!01\)\( T^{32} \))(\( 1 + 24773 T - 3495889158 T^{2} - 133177117674025 T^{3} + 4034592587238054895 T^{4} + \)\(26\!\cdots\!08\)\( T^{5} - \)\(67\!\cdots\!08\)\( T^{6} - \)\(25\!\cdots\!04\)\( T^{7} - \)\(86\!\cdots\!88\)\( T^{8} + \)\(15\!\cdots\!36\)\( T^{9} - \)\(26\!\cdots\!00\)\( T^{10} - \)\(19\!\cdots\!64\)\( T^{11} + \)\(40\!\cdots\!69\)\( T^{12} + \)\(28\!\cdots\!61\)\( T^{13} + \)\(24\!\cdots\!86\)\( T^{14} - \)\(20\!\cdots\!57\)\( T^{15} - \)\(28\!\cdots\!13\)\( T^{16} + \)\(18\!\cdots\!24\)\( T^{17} - \)\(43\!\cdots\!00\)\( T^{18} + \)\(26\!\cdots\!92\)\( T^{19} + \)\(20\!\cdots\!44\)\( T^{20} + \)\(22\!\cdots\!92\)\( T^{21} - \)\(31\!\cdots\!00\)\( T^{22} + \)\(10\!\cdots\!24\)\( T^{23} - \)\(14\!\cdots\!13\)\( T^{24} - \)\(86\!\cdots\!57\)\( T^{25} + \)\(89\!\cdots\!86\)\( T^{26} + \)\(88\!\cdots\!61\)\( T^{27} + \)\(10\!\cdots\!69\)\( T^{28} - \)\(43\!\cdots\!64\)\( T^{29} - \)\(48\!\cdots\!00\)\( T^{30} + \)\(24\!\cdots\!36\)\( T^{31} - \)\(11\!\cdots\!88\)\( T^{32} - \)\(28\!\cdots\!04\)\( T^{33} - \)\(63\!\cdots\!08\)\( T^{34} + \)\(21\!\cdots\!08\)\( T^{35} + \)\(27\!\cdots\!95\)\( T^{36} - \)\(75\!\cdots\!25\)\( T^{37} - \)\(16\!\cdots\!58\)\( T^{38} + \)\(10\!\cdots\!73\)\( T^{39} + \)\(34\!\cdots\!01\)\( T^{40} \))(\( 1 + 24773 T - 3495889158 T^{2} - 133177117674025 T^{3} + 4034592587238054895 T^{4} + \)\(26\!\cdots\!08\)\( T^{5} - \)\(67\!\cdots\!08\)\( T^{6} - \)\(25\!\cdots\!04\)\( T^{7} - \)\(86\!\cdots\!88\)\( T^{8} + \)\(15\!\cdots\!36\)\( T^{9} - \)\(26\!\cdots\!00\)\( T^{10} - \)\(19\!\cdots\!64\)\( T^{11} + \)\(40\!\cdots\!69\)\( T^{12} + \)\(28\!\cdots\!61\)\( T^{13} + \)\(24\!\cdots\!86\)\( T^{14} - \)\(20\!\cdots\!57\)\( T^{15} - \)\(28\!\cdots\!13\)\( T^{16} + \)\(18\!\cdots\!24\)\( T^{17} - \)\(43\!\cdots\!00\)\( T^{18} + \)\(26\!\cdots\!92\)\( T^{19} + \)\(20\!\cdots\!44\)\( T^{20} + \)\(22\!\cdots\!92\)\( T^{21} - \)\(31\!\cdots\!00\)\( T^{22} + \)\(10\!\cdots\!24\)\( T^{23} - \)\(14\!\cdots\!13\)\( T^{24} - \)\(86\!\cdots\!57\)\( T^{25} + \)\(89\!\cdots\!86\)\( T^{26} + \)\(88\!\cdots\!61\)\( T^{27} + \)\(10\!\cdots\!69\)\( T^{28} - \)\(43\!\cdots\!64\)\( T^{29} - \)\(48\!\cdots\!00\)\( T^{30} + \)\(24\!\cdots\!36\)\( T^{31} - \)\(11\!\cdots\!88\)\( T^{32} - \)\(28\!\cdots\!04\)\( T^{33} - \)\(63\!\cdots\!08\)\( T^{34} + \)\(21\!\cdots\!08\)\( T^{35} + \)\(27\!\cdots\!95\)\( T^{36} - \)\(75\!\cdots\!25\)\( T^{37} - \)\(16\!\cdots\!58\)\( T^{38} + \)\(10\!\cdots\!73\)\( T^{39} + \)\(34\!\cdots\!01\)\( T^{40} \))(\( ( 1 - 24773 T - 2212436183 T^{2} + 74194250614734 T^{3} + 1948390289140879218 T^{4} - \)\(74\!\cdots\!26\)\( T^{5} - \)\(16\!\cdots\!41\)\( T^{6} + \)\(15\!\cdots\!65\)\( T^{7} + \)\(28\!\cdots\!47\)\( T^{8} + \)\(74\!\cdots\!28\)\( T^{9} - \)\(33\!\cdots\!04\)\( T^{10} + \)\(63\!\cdots\!28\)\( T^{11} + \)\(20\!\cdots\!47\)\( T^{12} + \)\(94\!\cdots\!65\)\( T^{13} - \)\(84\!\cdots\!41\)\( T^{14} - \)\(32\!\cdots\!26\)\( T^{15} + \)\(70\!\cdots\!18\)\( T^{16} + \)\(22\!\cdots\!34\)\( T^{17} - \)\(57\!\cdots\!83\)\( T^{18} - \)\(54\!\cdots\!73\)\( T^{19} + \)\(18\!\cdots\!01\)\( T^{20} )^{2} \))
$67$ (\( 1 - 67699 T + 1350125107 T^{2} \))(\( 1 + 5174 T + 1350125107 T^{2} \))(\( 1 + 16130 T + 1350125107 T^{2} \))(\( 1 + 48131 T + 1350125107 T^{2} \))(\( 1 - 37939 T + 1350125107 T^{2} \))(\( 1 + 73475 T + 1350125107 T^{2} \))(\( 1 + 48131 T + 1350125107 T^{2} \))(\( 1 + 16130 T + 1350125107 T^{2} \))(\( 1 + 5174 T + 1350125107 T^{2} \))(\( 1 - 67699 T + 1350125107 T^{2} \))(\( 1 - 42176 T + 2044405986 T^{2} - 56942876512832 T^{3} + 1822837804551761449 T^{4} \))(\( 1 + 80020 T + 3884800314 T^{2} + 108037011062140 T^{3} + 1822837804551761449 T^{4} \))(\( 1 + 34522 T + 2997408975 T^{2} + 46609018943854 T^{3} + 1822837804551761449 T^{4} \))(\( 1 - 74168 T + 4013167026 T^{2} - 100136078935976 T^{3} + 1822837804551761449 T^{4} \))(\( ( 1 + 38861 T + 1350125107 T^{2} )^{2} \))(\( ( 1 - 62077 T + 1350125107 T^{2} )^{2} \))(\( 1 + 90064 T + 4055628738 T^{2} + 121597667636848 T^{3} + 1822837804551761449 T^{4} \))(\( 1 + 90064 T + 4055628738 T^{2} + 121597667636848 T^{3} + 1822837804551761449 T^{4} \))(\( 1 - 74168 T + 4013167026 T^{2} - 100136078935976 T^{3} + 1822837804551761449 T^{4} \))(\( 1 + 34522 T + 2997408975 T^{2} + 46609018943854 T^{3} + 1822837804551761449 T^{4} \))(\( 1 + 80020 T + 3884800314 T^{2} + 108037011062140 T^{3} + 1822837804551761449 T^{4} \))(\( 1 - 42176 T + 2044405986 T^{2} - 56942876512832 T^{3} + 1822837804551761449 T^{4} \))(\( 1 - 67191 T + 4032719796 T^{2} - 148762789847503 T^{3} + 5444676246075518172 T^{4} - \)\(12\!\cdots\!59\)\( T^{5} + \)\(24\!\cdots\!43\)\( T^{6} \))(\( 1 - 67191 T + 4032719796 T^{2} - 148762789847503 T^{3} + 5444676246075518172 T^{4} - \)\(12\!\cdots\!59\)\( T^{5} + \)\(24\!\cdots\!43\)\( T^{6} \))(\( ( 1 - 37939 T + 1350125107 T^{2} )( 1 + 37939 T + 1350125107 T^{2} ) \))(\( ( 1 - 73475 T + 1350125107 T^{2} )( 1 + 73475 T + 1350125107 T^{2} ) \))(\( ( 1 + 925982653 T^{2} + 1822837804551761449 T^{4} )^{2} \))(\( ( 1 - 2639148707 T^{2} + 1822837804551761449 T^{4} )^{2} \))(\( ( 1 - 4835693542 T^{2} + 9411965615868194811 T^{4} - \)\(88\!\cdots\!58\)\( T^{6} + \)\(33\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 - 2811502612 T^{2} + 3994016808388548534 T^{4} - \)\(51\!\cdots\!88\)\( T^{6} + \)\(33\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 - 521332206 T^{2} + 121616412349667559 T^{4} - \)\(26\!\cdots\!96\)\( T^{6} + \)\(22\!\cdots\!91\)\( T^{8} - \)\(17\!\cdots\!06\)\( T^{10} + \)\(60\!\cdots\!49\)\( T^{12} )^{2} \))(\( 1 + 36758 T - 1083763235 T^{2} - 9753235942570 T^{3} + 2281745104215240604 T^{4} - \)\(13\!\cdots\!90\)\( T^{5} - \)\(19\!\cdots\!15\)\( T^{6} + \)\(90\!\cdots\!94\)\( T^{7} + \)\(33\!\cdots\!01\)\( T^{8} \))(\( 1 - 32991 T - 1801789179 T^{2} + 76747890991738 T^{3} + 1612255572283172571 T^{4} - \)\(51\!\cdots\!59\)\( T^{5} - \)\(93\!\cdots\!82\)\( T^{6} - \)\(69\!\cdots\!13\)\( T^{7} + \)\(29\!\cdots\!79\)\( T^{8} + \)\(18\!\cdots\!34\)\( T^{9} - \)\(59\!\cdots\!79\)\( T^{10} - \)\(14\!\cdots\!37\)\( T^{11} + \)\(60\!\cdots\!49\)\( T^{12} \))(\( 1 - 7148 T - 3268771122 T^{2} + 16753922588168 T^{3} + 4825996342110423185 T^{4} - \)\(80\!\cdots\!92\)\( T^{5} - \)\(77\!\cdots\!58\)\( T^{6} - \)\(18\!\cdots\!60\)\( T^{7} + \)\(12\!\cdots\!20\)\( T^{8} - \)\(25\!\cdots\!20\)\( T^{9} - \)\(14\!\cdots\!42\)\( T^{10} - \)\(19\!\cdots\!56\)\( T^{11} + \)\(16\!\cdots\!85\)\( T^{12} + \)\(75\!\cdots\!76\)\( T^{13} - \)\(19\!\cdots\!78\)\( T^{14} - \)\(58\!\cdots\!64\)\( T^{15} + \)\(11\!\cdots\!01\)\( T^{16} \))(\( 1 + 13907 T - 3876685544 T^{2} + 77425491657903 T^{3} + 10014688417385231130 T^{4} - \)\(30\!\cdots\!39\)\( T^{5} - \)\(79\!\cdots\!54\)\( T^{6} + \)\(69\!\cdots\!51\)\( T^{7} - \)\(33\!\cdots\!67\)\( T^{8} - \)\(37\!\cdots\!46\)\( T^{9} + \)\(22\!\cdots\!76\)\( T^{10} - \)\(51\!\cdots\!22\)\( T^{11} - \)\(60\!\cdots\!83\)\( T^{12} + \)\(16\!\cdots\!93\)\( T^{13} - \)\(26\!\cdots\!54\)\( T^{14} - \)\(13\!\cdots\!73\)\( T^{15} + \)\(60\!\cdots\!70\)\( T^{16} + \)\(63\!\cdots\!29\)\( T^{17} - \)\(42\!\cdots\!44\)\( T^{18} + \)\(20\!\cdots\!49\)\( T^{19} + \)\(20\!\cdots\!49\)\( T^{20} \))(\( 1 + 65899 T - 2734869621 T^{2} - 160857140751480 T^{3} + 10983488420604054306 T^{4} + \)\(38\!\cdots\!26\)\( T^{5} - \)\(16\!\cdots\!29\)\( T^{6} - \)\(90\!\cdots\!73\)\( T^{7} + \)\(25\!\cdots\!88\)\( T^{8} - \)\(26\!\cdots\!89\)\( T^{9} + \)\(95\!\cdots\!41\)\( T^{10} + \)\(14\!\cdots\!98\)\( T^{11} - \)\(49\!\cdots\!87\)\( T^{12} - \)\(37\!\cdots\!23\)\( T^{13} + \)\(13\!\cdots\!66\)\( T^{14} - \)\(50\!\cdots\!61\)\( T^{15} - \)\(90\!\cdots\!63\)\( T^{16} + \)\(34\!\cdots\!14\)\( T^{17} + \)\(31\!\cdots\!41\)\( T^{18} - \)\(11\!\cdots\!23\)\( T^{19} + \)\(15\!\cdots\!12\)\( T^{20} - \)\(74\!\cdots\!39\)\( T^{21} - \)\(18\!\cdots\!29\)\( T^{22} + \)\(57\!\cdots\!82\)\( T^{23} + \)\(22\!\cdots\!94\)\( T^{24} - \)\(43\!\cdots\!40\)\( T^{25} - \)\(10\!\cdots\!21\)\( T^{26} + \)\(32\!\cdots\!93\)\( T^{27} + \)\(66\!\cdots\!49\)\( T^{28} \))(\( 1 - 76426 T - 596311166 T^{2} + 99165605625028 T^{3} + 5511021538454671736 T^{4} - \)\(28\!\cdots\!26\)\( T^{5} - \)\(57\!\cdots\!92\)\( T^{6} + \)\(15\!\cdots\!34\)\( T^{7} + \)\(14\!\cdots\!59\)\( T^{8} - \)\(20\!\cdots\!70\)\( T^{9} - \)\(17\!\cdots\!80\)\( T^{10} + \)\(20\!\cdots\!14\)\( T^{11} + \)\(11\!\cdots\!80\)\( T^{12} + \)\(13\!\cdots\!96\)\( T^{13} - \)\(21\!\cdots\!78\)\( T^{14} + \)\(48\!\cdots\!02\)\( T^{15} - \)\(86\!\cdots\!24\)\( T^{16} + \)\(65\!\cdots\!14\)\( T^{17} - \)\(39\!\cdots\!22\)\( T^{18} + \)\(33\!\cdots\!28\)\( T^{19} + \)\(38\!\cdots\!80\)\( T^{20} + \)\(90\!\cdots\!98\)\( T^{21} - \)\(10\!\cdots\!20\)\( T^{22} - \)\(17\!\cdots\!10\)\( T^{23} + \)\(16\!\cdots\!59\)\( T^{24} + \)\(23\!\cdots\!38\)\( T^{25} - \)\(11\!\cdots\!08\)\( T^{26} - \)\(76\!\cdots\!18\)\( T^{27} + \)\(20\!\cdots\!36\)\( T^{28} + \)\(49\!\cdots\!96\)\( T^{29} - \)\(39\!\cdots\!34\)\( T^{30} - \)\(69\!\cdots\!18\)\( T^{31} + \)\(12\!\cdots\!01\)\( T^{32} \))(\( 1 - 6402 T + 8094300733 T^{2} - 51732250013730 T^{3} + 33137097601648014562 T^{4} - \)\(85\!\cdots\!26\)\( T^{5} + \)\(90\!\cdots\!83\)\( T^{6} + \)\(23\!\cdots\!78\)\( T^{7} + \)\(18\!\cdots\!14\)\( T^{8} + \)\(13\!\cdots\!86\)\( T^{9} + \)\(31\!\cdots\!47\)\( T^{10} + \)\(27\!\cdots\!18\)\( T^{11} + \)\(47\!\cdots\!24\)\( T^{12} + \)\(29\!\cdots\!86\)\( T^{13} + \)\(60\!\cdots\!51\)\( T^{14} + \)\(40\!\cdots\!34\)\( T^{15} + \)\(65\!\cdots\!17\)\( T^{16} - \)\(39\!\cdots\!80\)\( T^{17} + \)\(58\!\cdots\!74\)\( T^{18} - \)\(82\!\cdots\!64\)\( T^{19} + \)\(59\!\cdots\!64\)\( T^{20} - \)\(11\!\cdots\!48\)\( T^{21} + \)\(10\!\cdots\!26\)\( T^{22} - \)\(97\!\cdots\!40\)\( T^{23} + \)\(21\!\cdots\!17\)\( T^{24} + \)\(18\!\cdots\!38\)\( T^{25} + \)\(36\!\cdots\!99\)\( T^{26} + \)\(23\!\cdots\!98\)\( T^{27} + \)\(52\!\cdots\!24\)\( T^{28} + \)\(41\!\cdots\!26\)\( T^{29} + \)\(64\!\cdots\!03\)\( T^{30} + \)\(36\!\cdots\!98\)\( T^{31} + \)\(68\!\cdots\!14\)\( T^{32} + \)\(11\!\cdots\!46\)\( T^{33} + \)\(60\!\cdots\!67\)\( T^{34} - \)\(77\!\cdots\!18\)\( T^{35} + \)\(40\!\cdots\!62\)\( T^{36} - \)\(85\!\cdots\!10\)\( T^{37} + \)\(17\!\cdots\!17\)\( T^{38} - \)\(19\!\cdots\!86\)\( T^{39} + \)\(40\!\cdots\!01\)\( T^{40} \))(\( 1 + 6402 T + 8094300733 T^{2} + 51732250013730 T^{3} + 33137097601648014562 T^{4} + \)\(85\!\cdots\!26\)\( T^{5} + \)\(90\!\cdots\!83\)\( T^{6} - \)\(23\!\cdots\!78\)\( T^{7} + \)\(18\!\cdots\!14\)\( T^{8} - \)\(13\!\cdots\!86\)\( T^{9} + \)\(31\!\cdots\!47\)\( T^{10} - \)\(27\!\cdots\!18\)\( T^{11} + \)\(47\!\cdots\!24\)\( T^{12} - \)\(29\!\cdots\!86\)\( T^{13} + \)\(60\!\cdots\!51\)\( T^{14} - \)\(40\!\cdots\!34\)\( T^{15} + \)\(65\!\cdots\!17\)\( T^{16} + \)\(39\!\cdots\!80\)\( T^{17} + \)\(58\!\cdots\!74\)\( T^{18} + \)\(82\!\cdots\!64\)\( T^{19} + \)\(59\!\cdots\!64\)\( T^{20} + \)\(11\!\cdots\!48\)\( T^{21} + \)\(10\!\cdots\!26\)\( T^{22} + \)\(97\!\cdots\!40\)\( T^{23} + \)\(21\!\cdots\!17\)\( T^{24} - \)\(18\!\cdots\!38\)\( T^{25} + \)\(36\!\cdots\!99\)\( T^{26} - \)\(23\!\cdots\!98\)\( T^{27} + \)\(52\!\cdots\!24\)\( T^{28} - \)\(41\!\cdots\!26\)\( T^{29} + \)\(64\!\cdots\!03\)\( T^{30} - \)\(36\!\cdots\!98\)\( T^{31} + \)\(68\!\cdots\!14\)\( T^{32} - \)\(11\!\cdots\!46\)\( T^{33} + \)\(60\!\cdots\!67\)\( T^{34} + \)\(77\!\cdots\!18\)\( T^{35} + \)\(40\!\cdots\!62\)\( T^{36} + \)\(85\!\cdots\!10\)\( T^{37} + \)\(17\!\cdots\!17\)\( T^{38} + \)\(19\!\cdots\!86\)\( T^{39} + \)\(40\!\cdots\!01\)\( T^{40} \))(\( 1 + 4176634993 T^{2} + 7993997457296709010 T^{4} + \)\(78\!\cdots\!47\)\( T^{6} + \)\(14\!\cdots\!54\)\( T^{8} - \)\(39\!\cdots\!41\)\( T^{10} + \)\(50\!\cdots\!60\)\( T^{12} + \)\(25\!\cdots\!51\)\( T^{14} + \)\(30\!\cdots\!81\)\( T^{16} + \)\(71\!\cdots\!34\)\( T^{18} - \)\(17\!\cdots\!00\)\( T^{20} + \)\(13\!\cdots\!66\)\( T^{22} + \)\(10\!\cdots\!81\)\( T^{24} + \)\(15\!\cdots\!99\)\( T^{26} + \)\(55\!\cdots\!60\)\( T^{28} - \)\(80\!\cdots\!09\)\( T^{30} + \)\(51\!\cdots\!54\)\( T^{32} + \)\(52\!\cdots\!03\)\( T^{34} + \)\(97\!\cdots\!10\)\( T^{36} + \)\(92\!\cdots\!57\)\( T^{38} + \)\(40\!\cdots\!01\)\( T^{40} \))
$71$ (\( 1 - 28152 T + 1804229351 T^{2} \))(\( 1 - 63720 T + 1804229351 T^{2} \))(\( 1 + 65816 T + 1804229351 T^{2} \))(\( 1 - 51120 T + 1804229351 T^{2} \))(\( 1 + 1804229351 T^{2} \))(\( 1 + 1804229351 T^{2} \))(\( 1 + 51120 T + 1804229351 T^{2} \))(\( 1 - 65816 T + 1804229351 T^{2} \))(\( 1 + 63720 T + 1804229351 T^{2} \))(\( 1 + 28152 T + 1804229351 T^{2} \))(\( 1 + 43848 T + 3234080590 T^{2} + 79111848582648 T^{3} + 3255243551009881201 T^{4} \))(\( 1 + 120296 T + 7024602446 T^{2} + 217041574007896 T^{3} + 3255243551009881201 T^{4} \))(\( 1 - 103016 T + 6203258126 T^{2} - 185864490822616 T^{3} + 3255243551009881201 T^{4} \))(\( 1 - 58768 T + 3739461902 T^{2} - 106030950499568 T^{3} + 3255243551009881201 T^{4} \))(\( 1 + 3602362318 T^{2} + 3255243551009881201 T^{4} \))(\( 1 + 1457026126 T^{2} + 3255243551009881201 T^{4} \))(\( 1 - 44712 T + 2046094414 T^{2} - 80670702741912 T^{3} + 3255243551009881201 T^{4} \))(\( 1 + 44712 T + 2046094414 T^{2} + 80670702741912 T^{3} + 3255243551009881201 T^{4} \))(\( 1 + 58768 T + 3739461902 T^{2} + 106030950499568 T^{3} + 3255243551009881201 T^{4} \))(\( 1 + 103016 T + 6203258126 T^{2} + 185864490822616 T^{3} + 3255243551009881201 T^{4} \))(\( 1 - 120296 T + 7024602446 T^{2} - 217041574007896 T^{3} + 3255243551009881201 T^{4} \))(\( 1 - 43848 T + 3234080590 T^{2} - 79111848582648 T^{3} + 3255243551009881201 T^{4} \))(\( 1 + 25656 T + 3852465525 T^{2} + 75504498903824 T^{3} + 6950731373920624275 T^{4} + \)\(83\!\cdots\!56\)\( T^{5} + \)\(58\!\cdots\!51\)\( T^{6} \))(\( 1 - 25656 T + 3852465525 T^{2} - 75504498903824 T^{3} + 6950731373920624275 T^{4} - \)\(83\!\cdots\!56\)\( T^{5} + \)\(58\!\cdots\!51\)\( T^{6} \))(\( ( 1 + 1804229351 T^{2} )^{2} \))(\( ( 1 + 1804229351 T^{2} )^{2} \))(\( ( 1 - 1525194290 T^{2} + 3255243551009881201 T^{4} )^{2} \))(\( ( 1 - 1539156530 T^{2} + 3255243551009881201 T^{4} )^{2} \))(\( ( 1 + 1322308508 T^{2} - 739522999078544730 T^{4} + \)\(43\!\cdots\!08\)\( T^{6} + \)\(10\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 + 3442017380 T^{2} + 6716169978545186214 T^{4} + \)\(11\!\cdots\!80\)\( T^{6} + \)\(10\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 + 6053409606 T^{2} + 20072295409738940511 T^{4} + \)\(42\!\cdots\!12\)\( T^{6} + \)\(65\!\cdots\!11\)\( T^{8} + \)\(64\!\cdots\!06\)\( T^{10} + \)\(34\!\cdots\!01\)\( T^{12} )^{2} \))(\( ( 1 + 73848 T + 4273554814 T^{2} + 133238729112648 T^{3} + 3255243551009881201 T^{4} )^{2} \))(\( ( 1 + 64836 T + 5330360517 T^{2} + 233818077065976 T^{3} + 9617192896182934467 T^{4} + \)\(21\!\cdots\!36\)\( T^{5} + \)\(58\!\cdots\!51\)\( T^{6} )^{2} \))(\( ( 1 + 35928 T + 5285725772 T^{2} + 127659705990840 T^{3} + 12554595869440882758 T^{4} + \)\(23\!\cdots\!40\)\( T^{5} + \)\(17\!\cdots\!72\)\( T^{6} + \)\(21\!\cdots\!28\)\( T^{7} + \)\(10\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 - 114684 T + 7758380659 T^{2} - 426246123888336 T^{3} + 19260501229393543450 T^{4} - \)\(77\!\cdots\!40\)\( T^{5} + \)\(34\!\cdots\!50\)\( T^{6} - \)\(13\!\cdots\!36\)\( T^{7} + \)\(45\!\cdots\!09\)\( T^{8} - \)\(12\!\cdots\!84\)\( T^{9} + \)\(19\!\cdots\!51\)\( T^{10} )^{2} \))(\( ( 1 - 19540 T + 3633668465 T^{2} - 12132114903560 T^{3} + 11913806947274641829 T^{4} - \)\(94\!\cdots\!48\)\( T^{5} + \)\(27\!\cdots\!29\)\( T^{6} - \)\(78\!\cdots\!40\)\( T^{7} + \)\(49\!\cdots\!79\)\( T^{8} - \)\(30\!\cdots\!48\)\( T^{9} + \)\(69\!\cdots\!79\)\( T^{10} - \)\(12\!\cdots\!60\)\( T^{11} + \)\(69\!\cdots\!15\)\( T^{12} - \)\(67\!\cdots\!40\)\( T^{13} + \)\(62\!\cdots\!51\)\( T^{14} )^{2} \))(\( ( 1 - 28552 T + 12272552360 T^{2} - 340583707445064 T^{3} + 69214592054837903036 T^{4} - \)\(17\!\cdots\!16\)\( T^{5} + \)\(23\!\cdots\!48\)\( T^{6} - \)\(51\!\cdots\!56\)\( T^{7} + \)\(51\!\cdots\!30\)\( T^{8} - \)\(93\!\cdots\!56\)\( T^{9} + \)\(76\!\cdots\!48\)\( T^{10} - \)\(10\!\cdots\!16\)\( T^{11} + \)\(73\!\cdots\!36\)\( T^{12} - \)\(65\!\cdots\!64\)\( T^{13} + \)\(42\!\cdots\!60\)\( T^{14} - \)\(17\!\cdots\!52\)\( T^{15} + \)\(11\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 - 21594 T + 10885767794 T^{2} - 181438427503854 T^{3} + 53818540569548075277 T^{4} - \)\(63\!\cdots\!00\)\( T^{5} + \)\(16\!\cdots\!08\)\( T^{6} - \)\(11\!\cdots\!76\)\( T^{7} + \)\(35\!\cdots\!38\)\( T^{8} - \)\(14\!\cdots\!60\)\( T^{9} + \)\(66\!\cdots\!96\)\( T^{10} - \)\(25\!\cdots\!60\)\( T^{11} + \)\(11\!\cdots\!38\)\( T^{12} - \)\(69\!\cdots\!76\)\( T^{13} + \)\(17\!\cdots\!08\)\( T^{14} - \)\(12\!\cdots\!00\)\( T^{15} + \)\(18\!\cdots\!77\)\( T^{16} - \)\(11\!\cdots\!54\)\( T^{17} + \)\(12\!\cdots\!94\)\( T^{18} - \)\(43\!\cdots\!94\)\( T^{19} + \)\(36\!\cdots\!01\)\( T^{20} )^{2} \))(\( ( 1 + 21594 T + 10885767794 T^{2} + 181438427503854 T^{3} + 53818540569548075277 T^{4} + \)\(63\!\cdots\!00\)\( T^{5} + \)\(16\!\cdots\!08\)\( T^{6} + \)\(11\!\cdots\!76\)\( T^{7} + \)\(35\!\cdots\!38\)\( T^{8} + \)\(14\!\cdots\!60\)\( T^{9} + \)\(66\!\cdots\!96\)\( T^{10} + \)\(25\!\cdots\!60\)\( T^{11} + \)\(11\!\cdots\!38\)\( T^{12} + \)\(69\!\cdots\!76\)\( T^{13} + \)\(17\!\cdots\!08\)\( T^{14} + \)\(12\!\cdots\!00\)\( T^{15} + \)\(18\!\cdots\!77\)\( T^{16} + \)\(11\!\cdots\!54\)\( T^{17} + \)\(12\!\cdots\!94\)\( T^{18} + \)\(43\!\cdots\!94\)\( T^{19} + \)\(36\!\cdots\!01\)\( T^{20} )^{2} \))(\( ( 1 + 9327103154 T^{2} + 41808897605399754861 T^{4} + \)\(12\!\cdots\!40\)\( T^{6} + \)\(31\!\cdots\!42\)\( T^{8} + \)\(62\!\cdots\!28\)\( T^{10} + \)\(10\!\cdots\!42\)\( T^{12} + \)\(13\!\cdots\!40\)\( T^{14} + \)\(14\!\cdots\!61\)\( T^{16} + \)\(10\!\cdots\!54\)\( T^{18} + \)\(36\!\cdots\!01\)\( T^{20} )^{2} \))
$73$ (\( 1 + 13975 T + 2073071593 T^{2} \))(\( 1 - 57953 T + 2073071593 T^{2} \))(\( 1 - 75529 T + 2073071593 T^{2} \))(\( 1 - 30737 T + 2073071593 T^{2} \))(\( 1 - 79577 T + 2073071593 T^{2} \))(\( 1 + 78127 T + 2073071593 T^{2} \))(\( 1 - 30737 T + 2073071593 T^{2} \))(\( 1 - 75529 T + 2073071593 T^{2} \))(\( 1 - 57953 T + 2073071593 T^{2} \))(\( 1 + 13975 T + 2073071593 T^{2} \))(\( 1 - 47218 T + 4446546819 T^{2} - 97886294478274 T^{3} + 4297625829703557649 T^{4} \))(\( 1 - 14762 T + 2922941307 T^{2} - 30602682855866 T^{3} + 4297625829703557649 T^{4} \))(\( 1 + 56158 T + 4934132787 T^{2} + 116419554519694 T^{3} + 4297625829703557649 T^{4} \))(\( 1 + 49606 T + 1887735819 T^{2} + 102836789442358 T^{3} + 4297625829703557649 T^{4} \))(\( ( 1 - 5465 T + 2073071593 T^{2} )^{2} \))(\( ( 1 + 48079 T + 2073071593 T^{2} )^{2} \))(\( 1 + 121214 T + 6975764499 T^{2} + 251285300073902 T^{3} + 4297625829703557649 T^{4} \))(\( 1 + 121214 T + 6975764499 T^{2} + 251285300073902 T^{3} + 4297625829703557649 T^{4} \))(\( 1 + 49606 T + 1887735819 T^{2} + 102836789442358 T^{3} + 4297625829703557649 T^{4} \))(\( 1 + 56158 T + 4934132787 T^{2} + 116419554519694 T^{3} + 4297625829703557649 T^{4} \))(\( 1 - 14762 T + 2922941307 T^{2} - 30602682855866 T^{3} + 4297625829703557649 T^{4} \))(\( 1 - 47218 T + 4446546819 T^{2} - 97886294478274 T^{3} + 4297625829703557649 T^{4} \))(\( 1 - 71427 T + 5260773822 T^{2} - 208002289418359 T^{3} + 10905960767586238446 T^{4} - \)\(30\!\cdots\!23\)\( T^{5} + \)\(89\!\cdots\!57\)\( T^{6} \))(\( 1 - 71427 T + 5260773822 T^{2} - 208002289418359 T^{3} + 10905960767586238446 T^{4} - \)\(30\!\cdots\!23\)\( T^{5} + \)\(89\!\cdots\!57\)\( T^{6} \))(\( ( 1 + 79577 T + 2073071593 T^{2} )^{2} \))(\( ( 1 - 78127 T + 2073071593 T^{2} )^{2} \))(\( ( 1 + 53849 T + 2073071593 T^{2} )^{4} \))(\( ( 1 + 29393 T + 2073071593 T^{2} )^{4} \))(\( ( 1 - 72470 T + 5329600059 T^{2} - 150235498344710 T^{3} + 4297625829703557649 T^{4} )^{4} \))(\( ( 1 + 34438 T + 3403456395 T^{2} + 71392439519734 T^{3} + 4297625829703557649 T^{4} )^{4} \))(\( ( 1 - 50043 T + 5583074766 T^{2} - 166425687154303 T^{3} + 11574113698989722238 T^{4} - \)\(21\!\cdots\!07\)\( T^{5} + \)\(89\!\cdots\!57\)\( T^{6} )^{4} \))(\( ( 1 + 51188 T + 4637705622 T^{2} + 106116388702484 T^{3} + 4297625829703557649 T^{4} )^{2} \))(\( ( 1 + 4233 T + 1481704827 T^{2} + 31872982860070 T^{3} + 3071680186064679411 T^{4} + \)\(18\!\cdots\!17\)\( T^{5} + \)\(89\!\cdots\!57\)\( T^{6} )^{2} \))(\( ( 1 - 61226 T + 6621012721 T^{2} - 212085627051026 T^{3} + 16124371439127547300 T^{4} - \)\(43\!\cdots\!18\)\( T^{5} + \)\(28\!\cdots\!29\)\( T^{6} - \)\(54\!\cdots\!82\)\( T^{7} + \)\(18\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 - 7600 T + 3606834246 T^{2} - 31056473559714 T^{3} + 12288417972789256281 T^{4} - \)\(80\!\cdots\!84\)\( T^{5} + \)\(25\!\cdots\!33\)\( T^{6} - \)\(13\!\cdots\!86\)\( T^{7} + \)\(32\!\cdots\!22\)\( T^{8} - \)\(14\!\cdots\!00\)\( T^{9} + \)\(38\!\cdots\!93\)\( T^{10} )^{2} \))(\( ( 1 + 119756 T + 12665001844 T^{2} + 840674059831786 T^{3} + 54000925751576970494 T^{4} + \)\(26\!\cdots\!20\)\( T^{5} + \)\(13\!\cdots\!21\)\( T^{6} + \)\(60\!\cdots\!00\)\( T^{7} + \)\(28\!\cdots\!53\)\( T^{8} + \)\(11\!\cdots\!80\)\( T^{9} + \)\(48\!\cdots\!58\)\( T^{10} + \)\(15\!\cdots\!86\)\( T^{11} + \)\(48\!\cdots\!92\)\( T^{12} + \)\(95\!\cdots\!44\)\( T^{13} + \)\(16\!\cdots\!57\)\( T^{14} )^{2} \))(\( ( 1 - 79535 T + 13865713689 T^{2} - 726558675410662 T^{3} + 76497322497906218852 T^{4} - \)\(30\!\cdots\!44\)\( T^{5} + \)\(25\!\cdots\!79\)\( T^{6} - \)\(84\!\cdots\!51\)\( T^{7} + \)\(62\!\cdots\!22\)\( T^{8} - \)\(17\!\cdots\!43\)\( T^{9} + \)\(11\!\cdots\!71\)\( T^{10} - \)\(26\!\cdots\!08\)\( T^{11} + \)\(14\!\cdots\!52\)\( T^{12} - \)\(27\!\cdots\!66\)\( T^{13} + \)\(11\!\cdots\!61\)\( T^{14} - \)\(13\!\cdots\!95\)\( T^{15} + \)\(34\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 + 5807 T + 9736828975 T^{2} + 32457701737968 T^{3} + 54000721454240876907 T^{4} + \)\(94\!\cdots\!83\)\( T^{5} + \)\(20\!\cdots\!24\)\( T^{6} + \)\(12\!\cdots\!09\)\( T^{7} + \)\(61\!\cdots\!52\)\( T^{8} + \)\(87\!\cdots\!77\)\( T^{9} + \)\(14\!\cdots\!98\)\( T^{10} + \)\(18\!\cdots\!61\)\( T^{11} + \)\(26\!\cdots\!48\)\( T^{12} + \)\(11\!\cdots\!13\)\( T^{13} + \)\(38\!\cdots\!24\)\( T^{14} + \)\(36\!\cdots\!19\)\( T^{15} + \)\(42\!\cdots\!43\)\( T^{16} + \)\(53\!\cdots\!76\)\( T^{17} + \)\(33\!\cdots\!75\)\( T^{18} + \)\(41\!\cdots\!51\)\( T^{19} + \)\(14\!\cdots\!49\)\( T^{20} )^{2} \))(\( ( 1 + 5807 T + 9736828975 T^{2} + 32457701737968 T^{3} + 54000721454240876907 T^{4} + \)\(94\!\cdots\!83\)\( T^{5} + \)\(20\!\cdots\!24\)\( T^{6} + \)\(12\!\cdots\!09\)\( T^{7} + \)\(61\!\cdots\!52\)\( T^{8} + \)\(87\!\cdots\!77\)\( T^{9} + \)\(14\!\cdots\!98\)\( T^{10} + \)\(18\!\cdots\!61\)\( T^{11} + \)\(26\!\cdots\!48\)\( T^{12} + \)\(11\!\cdots\!13\)\( T^{13} + \)\(38\!\cdots\!24\)\( T^{14} + \)\(36\!\cdots\!19\)\( T^{15} + \)\(42\!\cdots\!43\)\( T^{16} + \)\(53\!\cdots\!76\)\( T^{17} + \)\(33\!\cdots\!75\)\( T^{18} + \)\(41\!\cdots\!51\)\( T^{19} + \)\(14\!\cdots\!49\)\( T^{20} )^{2} \))(\( ( 1 + 34414 T + 6136587066 T^{2} + 147190924111464 T^{3} + 18040913209705182333 T^{4} + \)\(33\!\cdots\!48\)\( T^{5} + \)\(37\!\cdots\!69\)\( T^{6} + \)\(63\!\cdots\!36\)\( T^{7} + \)\(54\!\cdots\!62\)\( T^{8} + \)\(63\!\cdots\!14\)\( T^{9} + \)\(38\!\cdots\!93\)\( T^{10} )^{4} \))
$79$ (\( 1 - 83983 T + 3077056399 T^{2} \))(\( 1 + 16448 T + 3077056399 T^{2} \))(\( 1 + 81064 T + 3077056399 T^{2} \))(\( 1 + 38219 T + 3077056399 T^{2} \))(\( 1 + 90857 T + 3077056399 T^{2} \))(\( 1 + 9707 T + 3077056399 T^{2} \))(\( 1 + 38219 T + 3077056399 T^{2} \))(\( 1 + 81064 T + 3077056399 T^{2} \))(\( 1 + 16448 T + 3077056399 T^{2} \))(\( 1 - 83983 T + 3077056399 T^{2} \))(\( 1 - 49616 T + 6766377054 T^{2} - 152671230292784 T^{3} + 9468276082626847201 T^{4} \))(\( 1 + 27752 T + 6343432734 T^{2} + 85394469185048 T^{3} + 9468276082626847201 T^{4} \))(\( 1 + 16010 T + 870279783 T^{2} + 49263672947990 T^{3} + 9468276082626847201 T^{4} \))(\( 1 - 82984 T + 6683867166 T^{2} - 255346448214616 T^{3} + 9468276082626847201 T^{4} \))(\( ( 1 - 82903 T + 3077056399 T^{2} )^{2} \))(\( ( 1 + 49979 T + 3077056399 T^{2} )^{2} \))(\( 1 + 28768 T + 4017714654 T^{2} + 88520758486432 T^{3} + 9468276082626847201 T^{4} \))(\( 1 + 28768 T + 4017714654 T^{2} + 88520758486432 T^{3} + 9468276082626847201 T^{4} \))(\( 1 - 82984 T + 6683867166 T^{2} - 255346448214616 T^{3} + 9468276082626847201 T^{4} \))(\( 1 + 16010 T + 870279783 T^{2} + 49263672947990 T^{3} + 9468276082626847201 T^{4} \))(\( 1 + 27752 T + 6343432734 T^{2} + 85394469185048 T^{3} + 9468276082626847201 T^{4} \))(\( 1 - 49616 T + 6766377054 T^{2} - 152671230292784 T^{3} + 9468276082626847201 T^{4} \))(\( 1 - 89607 T + 8286005352 T^{2} - 442472143434311 T^{3} + 25496505790519847448 T^{4} - \)\(84\!\cdots\!07\)\( T^{5} + \)\(29\!\cdots\!99\)\( T^{6} \))(\( 1 - 89607 T + 8286005352 T^{2} - 442472143434311 T^{3} + 25496505790519847448 T^{4} - \)\(84\!\cdots\!07\)\( T^{5} + \)\(29\!\cdots\!99\)\( T^{6} \))(\( ( 1 - 90857 T + 3077056399 T^{2} )( 1 + 90857 T + 3077056399 T^{2} ) \))(\( ( 1 - 9707 T + 3077056399 T^{2} )( 1 + 9707 T + 3077056399 T^{2} ) \))(\( ( 1 - 5394251123 T^{2} + 9468276082626847201 T^{4} )^{2} \))(\( ( 1 - 6047798171 T^{2} + 9468276082626847201 T^{4} )^{2} \))(\( ( 1 - 3956633038 T^{2} + 14722441037308990371 T^{4} - \)\(37\!\cdots\!38\)\( T^{6} + \)\(89\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 - 4107714532 T^{2} + 6425028750051414150 T^{4} - \)\(38\!\cdots\!32\)\( T^{6} + \)\(89\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 - 14435086902 T^{2} + 96434849115132941679 T^{4} - \)\(37\!\cdots\!04\)\( T^{6} + \)\(91\!\cdots\!79\)\( T^{8} - \)\(12\!\cdots\!02\)\( T^{10} + \)\(84\!\cdots\!01\)\( T^{12} )^{2} \))(\( 1 - 14926 T - 5879056307 T^{2} + 780197169890 T^{3} + 27078673587607710964 T^{4} + \)\(24\!\cdots\!10\)\( T^{5} - \)\(55\!\cdots\!07\)\( T^{6} - \)\(43\!\cdots\!74\)\( T^{7} + \)\(89\!\cdots\!01\)\( T^{8} \))(\( 1 + 89202 T - 946471758 T^{2} - 73104980305676 T^{3} + 13192286849737226406 T^{4} - \)\(18\!\cdots\!50\)\( T^{5} - \)\(72\!\cdots\!62\)\( T^{6} - \)\(56\!\cdots\!50\)\( T^{7} + \)\(12\!\cdots\!06\)\( T^{8} - \)\(21\!\cdots\!24\)\( T^{9} - \)\(84\!\cdots\!58\)\( T^{10} + \)\(24\!\cdots\!98\)\( T^{11} + \)\(84\!\cdots\!01\)\( T^{12} \))(\( 1 - 59516 T - 3717013179 T^{2} + 374196053042180 T^{3} - 3765094998545504239 T^{4} - \)\(30\!\cdots\!72\)\( T^{5} - \)\(95\!\cdots\!50\)\( T^{6} - \)\(90\!\cdots\!24\)\( T^{7} + \)\(17\!\cdots\!98\)\( T^{8} - \)\(27\!\cdots\!76\)\( T^{9} - \)\(90\!\cdots\!50\)\( T^{10} - \)\(87\!\cdots\!28\)\( T^{11} - \)\(33\!\cdots\!39\)\( T^{12} + \)\(10\!\cdots\!20\)\( T^{13} - \)\(31\!\cdots\!79\)\( T^{14} - \)\(15\!\cdots\!84\)\( T^{15} + \)\(80\!\cdots\!01\)\( T^{16} \))(\( 1 + 29993 T - 5352351629 T^{2} + 358913063028768 T^{3} + 26234825811851125236 T^{4} - \)\(21\!\cdots\!52\)\( T^{5} + \)\(27\!\cdots\!85\)\( T^{6} + \)\(84\!\cdots\!45\)\( T^{7} - \)\(35\!\cdots\!45\)\( T^{8} - \)\(81\!\cdots\!80\)\( T^{9} + \)\(16\!\cdots\!00\)\( T^{10} - \)\(25\!\cdots\!20\)\( T^{11} - \)\(33\!\cdots\!45\)\( T^{12} + \)\(24\!\cdots\!55\)\( T^{13} + \)\(24\!\cdots\!85\)\( T^{14} - \)\(60\!\cdots\!48\)\( T^{15} + \)\(22\!\cdots\!36\)\( T^{16} + \)\(93\!\cdots\!32\)\( T^{17} - \)\(43\!\cdots\!29\)\( T^{18} + \)\(74\!\cdots\!07\)\( T^{19} + \)\(76\!\cdots\!01\)\( T^{20} \))(\( 1 + 52289 T - 10254865914 T^{2} - 445080895598253 T^{3} + 55928397506183270997 T^{4} + \)\(18\!\cdots\!20\)\( T^{5} - \)\(20\!\cdots\!84\)\( T^{6} - \)\(57\!\cdots\!20\)\( T^{7} + \)\(55\!\cdots\!84\)\( T^{8} + \)\(16\!\cdots\!96\)\( T^{9} - \)\(17\!\cdots\!76\)\( T^{10} - \)\(42\!\cdots\!92\)\( T^{11} + \)\(72\!\cdots\!86\)\( T^{12} + \)\(59\!\cdots\!70\)\( T^{13} - \)\(25\!\cdots\!92\)\( T^{14} + \)\(18\!\cdots\!30\)\( T^{15} + \)\(68\!\cdots\!86\)\( T^{16} - \)\(12\!\cdots\!08\)\( T^{17} - \)\(15\!\cdots\!76\)\( T^{18} + \)\(44\!\cdots\!04\)\( T^{19} + \)\(47\!\cdots\!84\)\( T^{20} - \)\(14\!\cdots\!80\)\( T^{21} - \)\(16\!\cdots\!84\)\( T^{22} + \)\(44\!\cdots\!80\)\( T^{23} + \)\(42\!\cdots\!97\)\( T^{24} - \)\(10\!\cdots\!47\)\( T^{25} - \)\(73\!\cdots\!14\)\( T^{26} + \)\(11\!\cdots\!11\)\( T^{27} + \)\(68\!\cdots\!01\)\( T^{28} \))(\( 1 - 97043 T - 6981685421 T^{2} + 727810639417952 T^{3} + 35972102294414959172 T^{4} - \)\(22\!\cdots\!20\)\( T^{5} - \)\(18\!\cdots\!45\)\( T^{6} - \)\(12\!\cdots\!65\)\( T^{7} + \)\(98\!\cdots\!05\)\( T^{8} + \)\(21\!\cdots\!64\)\( T^{9} - \)\(29\!\cdots\!24\)\( T^{10} - \)\(11\!\cdots\!12\)\( T^{11} + \)\(37\!\cdots\!46\)\( T^{12} + \)\(37\!\cdots\!06\)\( T^{13} + \)\(76\!\cdots\!82\)\( T^{14} - \)\(56\!\cdots\!68\)\( T^{15} - \)\(41\!\cdots\!08\)\( T^{16} - \)\(17\!\cdots\!32\)\( T^{17} + \)\(72\!\cdots\!82\)\( T^{18} + \)\(10\!\cdots\!94\)\( T^{19} + \)\(33\!\cdots\!46\)\( T^{20} - \)\(32\!\cdots\!88\)\( T^{21} - \)\(24\!\cdots\!24\)\( T^{22} + \)\(57\!\cdots\!36\)\( T^{23} + \)\(78\!\cdots\!05\)\( T^{24} - \)\(31\!\cdots\!35\)\( T^{25} - \)\(14\!\cdots\!45\)\( T^{26} - \)\(53\!\cdots\!80\)\( T^{27} + \)\(25\!\cdots\!72\)\( T^{28} + \)\(16\!\cdots\!48\)\( T^{29} - \)\(47\!\cdots\!21\)\( T^{30} - \)\(20\!\cdots\!57\)\( T^{31} + \)\(64\!\cdots\!01\)\( T^{32} \))(\( 1 - 171897 T + 26355344110 T^{2} - 2837300580759579 T^{3} + \)\(26\!\cdots\!25\)\( T^{4} - \)\(19\!\cdots\!44\)\( T^{5} + \)\(13\!\cdots\!06\)\( T^{6} - \)\(75\!\cdots\!70\)\( T^{7} + \)\(39\!\cdots\!76\)\( T^{8} - \)\(19\!\cdots\!98\)\( T^{9} + \)\(10\!\cdots\!30\)\( T^{10} - \)\(68\!\cdots\!60\)\( T^{11} + \)\(46\!\cdots\!67\)\( T^{12} - \)\(30\!\cdots\!59\)\( T^{13} + \)\(18\!\cdots\!66\)\( T^{14} - \)\(97\!\cdots\!05\)\( T^{15} + \)\(48\!\cdots\!19\)\( T^{16} - \)\(22\!\cdots\!20\)\( T^{17} + \)\(10\!\cdots\!12\)\( T^{18} - \)\(54\!\cdots\!72\)\( T^{19} + \)\(29\!\cdots\!24\)\( T^{20} - \)\(16\!\cdots\!28\)\( T^{21} + \)\(10\!\cdots\!12\)\( T^{22} - \)\(65\!\cdots\!80\)\( T^{23} + \)\(43\!\cdots\!19\)\( T^{24} - \)\(26\!\cdots\!95\)\( T^{25} + \)\(15\!\cdots\!66\)\( T^{26} - \)\(79\!\cdots\!41\)\( T^{27} + \)\(37\!\cdots\!67\)\( T^{28} - \)\(16\!\cdots\!40\)\( T^{29} + \)\(82\!\cdots\!30\)\( T^{30} - \)\(46\!\cdots\!02\)\( T^{31} + \)\(28\!\cdots\!76\)\( T^{32} - \)\(16\!\cdots\!30\)\( T^{33} + \)\(90\!\cdots\!06\)\( T^{34} - \)\(41\!\cdots\!56\)\( T^{35} + \)\(16\!\cdots\!25\)\( T^{36} - \)\(56\!\cdots\!21\)\( T^{37} + \)\(16\!\cdots\!10\)\( T^{38} - \)\(32\!\cdots\!03\)\( T^{39} + \)\(57\!\cdots\!01\)\( T^{40} \))(\( 1 + 171897 T + 26355344110 T^{2} + 2837300580759579 T^{3} + \)\(26\!\cdots\!25\)\( T^{4} + \)\(19\!\cdots\!44\)\( T^{5} + \)\(13\!\cdots\!06\)\( T^{6} + \)\(75\!\cdots\!70\)\( T^{7} + \)\(39\!\cdots\!76\)\( T^{8} + \)\(19\!\cdots\!98\)\( T^{9} + \)\(10\!\cdots\!30\)\( T^{10} + \)\(68\!\cdots\!60\)\( T^{11} + \)\(46\!\cdots\!67\)\( T^{12} + \)\(30\!\cdots\!59\)\( T^{13} + \)\(18\!\cdots\!66\)\( T^{14} + \)\(97\!\cdots\!05\)\( T^{15} + \)\(48\!\cdots\!19\)\( T^{16} + \)\(22\!\cdots\!20\)\( T^{17} + \)\(10\!\cdots\!12\)\( T^{18} + \)\(54\!\cdots\!72\)\( T^{19} + \)\(29\!\cdots\!24\)\( T^{20} + \)\(16\!\cdots\!28\)\( T^{21} + \)\(10\!\cdots\!12\)\( T^{22} + \)\(65\!\cdots\!80\)\( T^{23} + \)\(43\!\cdots\!19\)\( T^{24} + \)\(26\!\cdots\!95\)\( T^{25} + \)\(15\!\cdots\!66\)\( T^{26} + \)\(79\!\cdots\!41\)\( T^{27} + \)\(37\!\cdots\!67\)\( T^{28} + \)\(16\!\cdots\!40\)\( T^{29} + \)\(82\!\cdots\!30\)\( T^{30} + \)\(46\!\cdots\!02\)\( T^{31} + \)\(28\!\cdots\!76\)\( T^{32} + \)\(16\!\cdots\!30\)\( T^{33} + \)\(90\!\cdots\!06\)\( T^{34} + \)\(41\!\cdots\!56\)\( T^{35} + \)\(16\!\cdots\!25\)\( T^{36} + \)\(56\!\cdots\!21\)\( T^{37} + \)\(16\!\cdots\!10\)\( T^{38} + \)\(32\!\cdots\!03\)\( T^{39} + \)\(57\!\cdots\!01\)\( T^{40} \))(\( 1 + 16559741695 T^{2} + \)\(15\!\cdots\!89\)\( T^{4} + \)\(10\!\cdots\!82\)\( T^{6} + \)\(50\!\cdots\!82\)\( T^{8} + \)\(19\!\cdots\!54\)\( T^{10} + \)\(57\!\cdots\!55\)\( T^{12} + \)\(10\!\cdots\!85\)\( T^{14} + \)\(49\!\cdots\!11\)\( T^{16} - \)\(90\!\cdots\!08\)\( T^{18} - \)\(39\!\cdots\!76\)\( T^{20} - \)\(85\!\cdots\!08\)\( T^{22} + \)\(43\!\cdots\!11\)\( T^{24} + \)\(91\!\cdots\!85\)\( T^{26} + \)\(45\!\cdots\!55\)\( T^{28} + \)\(14\!\cdots\!54\)\( T^{30} + \)\(36\!\cdots\!82\)\( T^{32} + \)\(69\!\cdots\!82\)\( T^{34} + \)\(10\!\cdots\!89\)\( T^{36} + \)\(10\!\cdots\!95\)\( T^{38} + \)\(57\!\cdots\!01\)\( T^{40} \))
$83$ (\( 1 + 33384 T + 3939040643 T^{2} \))(\( 1 - 69267 T + 3939040643 T^{2} \))(\( 1 - 68293 T + 3939040643 T^{2} \))(\( 1 - 8112 T + 3939040643 T^{2} \))(\( 1 + 3939040643 T^{2} \))(\( 1 + 3939040643 T^{2} \))(\( 1 + 8112 T + 3939040643 T^{2} \))(\( 1 + 68293 T + 3939040643 T^{2} \))(\( 1 + 69267 T + 3939040643 T^{2} \))(\( 1 - 33384 T + 3939040643 T^{2} \))(\( 1 + 102294 T + 8848061695 T^{2} + 402940223535042 T^{3} + 15516041187205853449 T^{4} \))(\( 1 + 141362 T + 11501152487 T^{2} + 556830663375766 T^{3} + 15516041187205853449 T^{4} \))(\( 1 - 86216 T + 7112504390 T^{2} - 339608328076888 T^{3} + 15516041187205853449 T^{4} \))(\( 1 - 25570 T + 6145459415 T^{2} - 100721269241510 T^{3} + 15516041187205853449 T^{4} \))(\( 1 + 7701562630 T^{2} + 15516041187205853449 T^{4} \))(\( 1 + 4552161670 T^{2} + 15516041187205853449 T^{4} \))(\( 1 - 15066 T - 2258995409 T^{2} - 59345586327438 T^{3} + 15516041187205853449 T^{4} \))(\( 1 + 15066 T - 2258995409 T^{2} + 59345586327438 T^{3} + 15516041187205853449 T^{4} \))(\( 1 + 25570 T + 6145459415 T^{2} + 100721269241510 T^{3} + 15516041187205853449 T^{4} \))(\( 1 + 86216 T + 7112504390 T^{2} + 339608328076888 T^{3} + 15516041187205853449 T^{4} \))(\( 1 - 141362 T + 11501152487 T^{2} - 556830663375766 T^{3} + 15516041187205853449 T^{4} \))(\( 1 - 102294 T + 8848061695 T^{2} - 402940223535042 T^{3} + 15516041187205853449 T^{4} \))(\( 1 + 101304 T + 12134118729 T^{2} + 665453017537616 T^{3} + 47796786840518502747 T^{4} + \)\(15\!\cdots\!96\)\( T^{5} + \)\(61\!\cdots\!07\)\( T^{6} \))(\( 1 - 101304 T + 12134118729 T^{2} - 665453017537616 T^{3} + 47796786840518502747 T^{4} - \)\(15\!\cdots\!96\)\( T^{5} + \)\(61\!\cdots\!07\)\( T^{6} \))(\( ( 1 + 3939040643 T^{2} )^{2} \))(\( ( 1 + 3939040643 T^{2} )^{2} \))(\( ( 1 + 4092740038 T^{2} + 15516041187205853449 T^{4} )^{2} \))(\( ( 1 - 3341729402 T^{2} + 15516041187205853449 T^{4} )^{2} \))(\( ( 1 + 9388435916 T^{2} + 42937583758979169462 T^{4} + \)\(14\!\cdots\!84\)\( T^{6} + \)\(24\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 + 5785907078 T^{2} + 39298643172748790619 T^{4} + \)\(89\!\cdots\!22\)\( T^{6} + \)\(24\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 + 2034593697 T^{2} - 2581735194439923450 T^{4} + \)\(31\!\cdots\!05\)\( T^{6} - \)\(40\!\cdots\!50\)\( T^{8} + \)\(48\!\cdots\!97\)\( T^{10} + \)\(37\!\cdots\!49\)\( T^{12} )^{2} \))(\( 1 - 90762 T - 1695108259 T^{2} - 186494818454154 T^{3} + 50696650939413455868 T^{4} - \)\(73\!\cdots\!22\)\( T^{5} - \)\(26\!\cdots\!91\)\( T^{6} - \)\(55\!\cdots\!34\)\( T^{7} + \)\(24\!\cdots\!01\)\( T^{8} \))(\( 1 - 32634 T - 7761884658 T^{2} + 19287559006164 T^{3} + 38129210867128845714 T^{4} + \)\(40\!\cdots\!90\)\( T^{5} - \)\(17\!\cdots\!58\)\( T^{6} + \)\(16\!\cdots\!70\)\( T^{7} + \)\(59\!\cdots\!86\)\( T^{8} + \)\(11\!\cdots\!48\)\( T^{9} - \)\(18\!\cdots\!58\)\( T^{10} - \)\(30\!\cdots\!62\)\( T^{11} + \)\(37\!\cdots\!49\)\( T^{12} \))(\( 1 - 117696 T - 5262215903 T^{2} + 507938387214576 T^{3} + 83906673955765181161 T^{4} - \)\(37\!\cdots\!00\)\( T^{5} - \)\(42\!\cdots\!38\)\( T^{6} + \)\(12\!\cdots\!52\)\( T^{7} + \)\(24\!\cdots\!34\)\( T^{8} + \)\(47\!\cdots\!36\)\( T^{9} - \)\(65\!\cdots\!62\)\( T^{10} - \)\(22\!\cdots\!00\)\( T^{11} + \)\(20\!\cdots\!61\)\( T^{12} + \)\(48\!\cdots\!68\)\( T^{13} - \)\(19\!\cdots\!47\)\( T^{14} - \)\(17\!\cdots\!72\)\( T^{15} + \)\(57\!\cdots\!01\)\( T^{16} \))(\( 1 + 228951 T + 21403431983 T^{2} + 1202282302650156 T^{3} + 62567029919071222368 T^{4} + \)\(36\!\cdots\!68\)\( T^{5} + \)\(11\!\cdots\!01\)\( T^{6} - \)\(11\!\cdots\!41\)\( T^{7} - \)\(18\!\cdots\!73\)\( T^{8} - \)\(14\!\cdots\!84\)\( T^{9} - \)\(88\!\cdots\!72\)\( T^{10} - \)\(55\!\cdots\!12\)\( T^{11} - \)\(28\!\cdots\!77\)\( T^{12} - \)\(67\!\cdots\!87\)\( T^{13} + \)\(28\!\cdots\!01\)\( T^{14} + \)\(34\!\cdots\!24\)\( T^{15} + \)\(23\!\cdots\!32\)\( T^{16} + \)\(17\!\cdots\!92\)\( T^{17} + \)\(12\!\cdots\!83\)\( T^{18} + \)\(52\!\cdots\!93\)\( T^{19} + \)\(89\!\cdots\!49\)\( T^{20} \))(\( 1 - 33317 T - 8432560942 T^{2} + 477533729480965 T^{3} + 20105513085767342373 T^{4} - \)\(28\!\cdots\!40\)\( T^{5} + \)\(34\!\cdots\!76\)\( T^{6} + \)\(10\!\cdots\!32\)\( T^{7} - \)\(48\!\cdots\!72\)\( T^{8} - \)\(29\!\cdots\!04\)\( T^{9} + \)\(27\!\cdots\!12\)\( T^{10} + \)\(59\!\cdots\!36\)\( T^{11} - \)\(12\!\cdots\!94\)\( T^{12} - \)\(60\!\cdots\!34\)\( T^{13} + \)\(48\!\cdots\!92\)\( T^{14} - \)\(23\!\cdots\!62\)\( T^{15} - \)\(18\!\cdots\!06\)\( T^{16} + \)\(36\!\cdots\!52\)\( T^{17} + \)\(66\!\cdots\!12\)\( T^{18} - \)\(28\!\cdots\!72\)\( T^{19} - \)\(17\!\cdots\!28\)\( T^{20} + \)\(15\!\cdots\!24\)\( T^{21} + \)\(20\!\cdots\!76\)\( T^{22} - \)\(65\!\cdots\!20\)\( T^{23} + \)\(18\!\cdots\!77\)\( T^{24} + \)\(16\!\cdots\!55\)\( T^{25} - \)\(11\!\cdots\!42\)\( T^{26} - \)\(18\!\cdots\!31\)\( T^{27} + \)\(21\!\cdots\!49\)\( T^{28} \))(\( 1 + 87151 T - 10575830677 T^{2} - 176442258235768 T^{3} + \)\(13\!\cdots\!72\)\( T^{4} - \)\(27\!\cdots\!28\)\( T^{5} - \)\(80\!\cdots\!21\)\( T^{6} + \)\(54\!\cdots\!01\)\( T^{7} + \)\(29\!\cdots\!85\)\( T^{8} - \)\(41\!\cdots\!40\)\( T^{9} + \)\(85\!\cdots\!16\)\( T^{10} + \)\(21\!\cdots\!84\)\( T^{11} - \)\(76\!\cdots\!26\)\( T^{12} - \)\(72\!\cdots\!06\)\( T^{13} + \)\(59\!\cdots\!62\)\( T^{14} + \)\(11\!\cdots\!04\)\( T^{15} - \)\(27\!\cdots\!08\)\( T^{16} + \)\(46\!\cdots\!72\)\( T^{17} + \)\(92\!\cdots\!38\)\( T^{18} - \)\(44\!\cdots\!42\)\( T^{19} - \)\(18\!\cdots\!26\)\( T^{20} + \)\(20\!\cdots\!12\)\( T^{21} + \)\(31\!\cdots\!84\)\( T^{22} - \)\(61\!\cdots\!80\)\( T^{23} + \)\(16\!\cdots\!85\)\( T^{24} + \)\(12\!\cdots\!43\)\( T^{25} - \)\(72\!\cdots\!29\)\( T^{26} - \)\(96\!\cdots\!96\)\( T^{27} + \)\(18\!\cdots\!72\)\( T^{28} - \)\(96\!\cdots\!24\)\( T^{29} - \)\(22\!\cdots\!73\)\( T^{30} + \)\(74\!\cdots\!57\)\( T^{31} + \)\(33\!\cdots\!01\)\( T^{32} \))(\( 1 - 43347 T - 25871465354 T^{2} + 1396941748469247 T^{3} + \)\(34\!\cdots\!53\)\( T^{4} - \)\(22\!\cdots\!28\)\( T^{5} - \)\(31\!\cdots\!22\)\( T^{6} + \)\(24\!\cdots\!58\)\( T^{7} + \)\(20\!\cdots\!12\)\( T^{8} - \)\(20\!\cdots\!78\)\( T^{9} - \)\(10\!\cdots\!10\)\( T^{10} + \)\(13\!\cdots\!00\)\( T^{11} + \)\(29\!\cdots\!71\)\( T^{12} - \)\(69\!\cdots\!85\)\( T^{13} + \)\(27\!\cdots\!90\)\( T^{14} + \)\(28\!\cdots\!73\)\( T^{15} - \)\(70\!\cdots\!05\)\( T^{16} - \)\(88\!\cdots\!92\)\( T^{17} + \)\(52\!\cdots\!24\)\( T^{18} + \)\(13\!\cdots\!80\)\( T^{19} - \)\(24\!\cdots\!60\)\( T^{20} + \)\(51\!\cdots\!40\)\( T^{21} + \)\(81\!\cdots\!76\)\( T^{22} - \)\(53\!\cdots\!44\)\( T^{23} - \)\(16\!\cdots\!05\)\( T^{24} + \)\(27\!\cdots\!39\)\( T^{25} + \)\(10\!\cdots\!10\)\( T^{26} - \)\(10\!\cdots\!95\)\( T^{27} + \)\(17\!\cdots\!71\)\( T^{28} + \)\(30\!\cdots\!00\)\( T^{29} - \)\(89\!\cdots\!90\)\( T^{30} - \)\(72\!\cdots\!46\)\( T^{31} + \)\(29\!\cdots\!12\)\( T^{32} + \)\(13\!\cdots\!94\)\( T^{33} - \)\(68\!\cdots\!78\)\( T^{34} - \)\(19\!\cdots\!96\)\( T^{35} + \)\(11\!\cdots\!53\)\( T^{36} + \)\(18\!\cdots\!21\)\( T^{37} - \)\(13\!\cdots\!46\)\( T^{38} - \)\(88\!\cdots\!29\)\( T^{39} + \)\(80\!\cdots\!01\)\( T^{40} \))(\( 1 + 43347 T - 25871465354 T^{2} - 1396941748469247 T^{3} + \)\(34\!\cdots\!53\)\( T^{4} + \)\(22\!\cdots\!28\)\( T^{5} - \)\(31\!\cdots\!22\)\( T^{6} - \)\(24\!\cdots\!58\)\( T^{7} + \)\(20\!\cdots\!12\)\( T^{8} + \)\(20\!\cdots\!78\)\( T^{9} - \)\(10\!\cdots\!10\)\( T^{10} - \)\(13\!\cdots\!00\)\( T^{11} + \)\(29\!\cdots\!71\)\( T^{12} + \)\(69\!\cdots\!85\)\( T^{13} + \)\(27\!\cdots\!90\)\( T^{14} - \)\(28\!\cdots\!73\)\( T^{15} - \)\(70\!\cdots\!05\)\( T^{16} + \)\(88\!\cdots\!92\)\( T^{17} + \)\(52\!\cdots\!24\)\( T^{18} - \)\(13\!\cdots\!80\)\( T^{19} - \)\(24\!\cdots\!60\)\( T^{20} - \)\(51\!\cdots\!40\)\( T^{21} + \)\(81\!\cdots\!76\)\( T^{22} + \)\(53\!\cdots\!44\)\( T^{23} - \)\(16\!\cdots\!05\)\( T^{24} - \)\(27\!\cdots\!39\)\( T^{25} + \)\(10\!\cdots\!10\)\( T^{26} + \)\(10\!\cdots\!95\)\( T^{27} + \)\(17\!\cdots\!71\)\( T^{28} - \)\(30\!\cdots\!00\)\( T^{29} - \)\(89\!\cdots\!90\)\( T^{30} + \)\(72\!\cdots\!46\)\( T^{31} + \)\(29\!\cdots\!12\)\( T^{32} - \)\(13\!\cdots\!94\)\( T^{33} - \)\(68\!\cdots\!78\)\( T^{34} + \)\(19\!\cdots\!96\)\( T^{35} + \)\(11\!\cdots\!53\)\( T^{36} - \)\(18\!\cdots\!21\)\( T^{37} - \)\(13\!\cdots\!46\)\( T^{38} + \)\(88\!\cdots\!29\)\( T^{39} + \)\(80\!\cdots\!01\)\( T^{40} \))(\( 1 - 15783157985 T^{2} + \)\(15\!\cdots\!69\)\( T^{4} - \)\(10\!\cdots\!06\)\( T^{6} + \)\(55\!\cdots\!42\)\( T^{8} - \)\(24\!\cdots\!22\)\( T^{10} + \)\(10\!\cdots\!87\)\( T^{12} - \)\(46\!\cdots\!55\)\( T^{14} + \)\(22\!\cdots\!11\)\( T^{16} - \)\(10\!\cdots\!88\)\( T^{18} + \)\(44\!\cdots\!76\)\( T^{20} - \)\(16\!\cdots\!12\)\( T^{22} + \)\(54\!\cdots\!11\)\( T^{24} - \)\(17\!\cdots\!95\)\( T^{26} + \)\(60\!\cdots\!87\)\( T^{28} - \)\(22\!\cdots\!78\)\( T^{30} + \)\(76\!\cdots\!42\)\( T^{32} - \)\(22\!\cdots\!94\)\( T^{34} + \)\(51\!\cdots\!69\)\( T^{36} - \)\(82\!\cdots\!65\)\( T^{38} + \)\(80\!\cdots\!01\)\( T^{40} \))
$89$ (\( 1 + 77868 T + 5584059449 T^{2} \))(\( 1 - 54198 T + 5584059449 T^{2} \))(\( 1 - 62526 T + 5584059449 T^{2} \))(\( 1 - 44280 T + 5584059449 T^{2} \))(\( 1 + 5584059449 T^{2} \))(\( 1 + 5584059449 T^{2} \))(\( 1 + 44280 T + 5584059449 T^{2} \))(\( 1 + 62526 T + 5584059449 T^{2} \))(\( 1 + 54198 T + 5584059449 T^{2} \))(\( 1 - 77868 T + 5584059449 T^{2} \))(\( 1 - 35856 T + 7481861710 T^{2} - 200222035603344 T^{3} + 31181719929966183601 T^{4} \))(\( 1 + 211452 T + 22334357734 T^{2} + 1180760538609948 T^{3} + 31181719929966183601 T^{4} \))(\( 1 + 172164 T + 17420861122 T^{2} + 961374010977636 T^{3} + 31181719929966183601 T^{4} \))(\( 1 + 21480 T - 378921602 T^{2} + 119945596964520 T^{3} + 31181719929966183601 T^{4} \))(\( 1 + 3109663474 T^{2} + 31181719929966183601 T^{4} \))(\( 1 + 3438704914 T^{2} + 31181719929966183601 T^{4} \))(\( 1 + 178848 T + 18739138030 T^{2} + 998697864334752 T^{3} + 31181719929966183601 T^{4} \))(\( 1 - 178848 T + 18739138030 T^{2} - 998697864334752 T^{3} + 31181719929966183601 T^{4} \))(\( 1 - 21480 T - 378921602 T^{2} - 119945596964520 T^{3} + 31181719929966183601 T^{4} \))(\( 1 - 172164 T + 17420861122 T^{2} - 961374010977636 T^{3} + 31181719929966183601 T^{4} \))(\( 1 - 211452 T + 22334357734 T^{2} - 1180760538609948 T^{3} + 31181719929966183601 T^{4} \))(\( 1 + 35856 T + 7481861710 T^{2} + 200222035603344 T^{3} + 31181719929966183601 T^{4} \))(\( 1 - 22356 T + 9034661211 T^{2} - 29914352693928 T^{3} + 50450085303798332739 T^{4} - \)\(69\!\cdots\!56\)\( T^{5} + \)\(17\!\cdots\!49\)\( T^{6} \))(\( 1 + 22356 T + 9034661211 T^{2} + 29914352693928 T^{3} + 50450085303798332739 T^{4} + \)\(69\!\cdots\!56\)\( T^{5} + \)\(17\!\cdots\!49\)\( T^{6} \))(\( ( 1 - 5584059449 T^{2} )^{2} \))(\( ( 1 - 5584059449 T^{2} )^{2} \))(\( ( 1 + 1892591102 T^{2} + 31181719929966183601 T^{4} )^{2} \))(\( ( 1 - 9549378898 T^{2} + 31181719929966183601 T^{4} )^{2} \))(\( ( 1 - 5560579508 T^{2} + 2696794479659742918 T^{4} - \)\(17\!\cdots\!08\)\( T^{6} + \)\(97\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 - 11089108220 T^{2} + 61941653807389082214 T^{4} - \)\(34\!\cdots\!20\)\( T^{6} + \)\(97\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 - 15833826570 T^{2} + 97056113093397596895 T^{4} - \)\(43\!\cdots\!52\)\( T^{6} + \)\(30\!\cdots\!95\)\( T^{8} - \)\(15\!\cdots\!70\)\( T^{10} + \)\(30\!\cdots\!01\)\( T^{12} )^{2} \))(\( ( 1 - 9300 T + 3189231862 T^{2} - 51931752875700 T^{3} + 31181719929966183601 T^{4} )^{2} \))(\( ( 1 + 33066 T + 16131261399 T^{2} + 360180435327660 T^{3} + 90077922639374909151 T^{4} + \)\(10\!\cdots\!66\)\( T^{5} + \)\(17\!\cdots\!49\)\( T^{6} )^{2} \))(\( ( 1 - 225864 T + 38022042668 T^{2} - 4189883418729720 T^{3} + \)\(36\!\cdots\!22\)\( T^{4} - \)\(23\!\cdots\!80\)\( T^{5} + \)\(11\!\cdots\!68\)\( T^{6} - \)\(39\!\cdots\!36\)\( T^{7} + \)\(97\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 + 299166 T + 52616244181 T^{2} + 6660261403977288 T^{3} + \)\(67\!\cdots\!10\)\( T^{4} + \)\(55\!\cdots\!64\)\( T^{5} + \)\(37\!\cdots\!90\)\( T^{6} + \)\(20\!\cdots\!88\)\( T^{7} + \)\(91\!\cdots\!69\)\( T^{8} + \)\(29\!\cdots\!66\)\( T^{9} + \)\(54\!\cdots\!49\)\( T^{10} )^{2} \))(\( ( 1 + 17418 T + 22938251123 T^{2} + 54792061641540 T^{3} + \)\(25\!\cdots\!13\)\( T^{4} - \)\(20\!\cdots\!02\)\( T^{5} + \)\(18\!\cdots\!91\)\( T^{6} - \)\(20\!\cdots\!48\)\( T^{7} + \)\(10\!\cdots\!59\)\( T^{8} - \)\(62\!\cdots\!02\)\( T^{9} + \)\(44\!\cdots\!37\)\( T^{10} + \)\(53\!\cdots\!40\)\( T^{11} + \)\(12\!\cdots\!27\)\( T^{12} + \)\(52\!\cdots\!18\)\( T^{13} + \)\(16\!\cdots\!49\)\( T^{14} )^{2} \))(\( ( 1 - 10512 T + 19793459944 T^{2} + 278250638401872 T^{3} + \)\(22\!\cdots\!64\)\( T^{4} + \)\(51\!\cdots\!76\)\( T^{5} + \)\(19\!\cdots\!56\)\( T^{6} + \)\(41\!\cdots\!96\)\( T^{7} + \)\(12\!\cdots\!46\)\( T^{8} + \)\(23\!\cdots\!04\)\( T^{9} + \)\(60\!\cdots\!56\)\( T^{10} + \)\(89\!\cdots\!24\)\( T^{11} + \)\(22\!\cdots\!64\)\( T^{12} + \)\(15\!\cdots\!28\)\( T^{13} + \)\(60\!\cdots\!44\)\( T^{14} - \)\(17\!\cdots\!88\)\( T^{15} + \)\(94\!\cdots\!01\)\( T^{16} )^{2} \))(\( 1 - 38579170324 T^{2} + \)\(80\!\cdots\!14\)\( T^{4} - \)\(11\!\cdots\!56\)\( T^{6} + \)\(13\!\cdots\!21\)\( T^{8} - \)\(12\!\cdots\!04\)\( T^{10} + \)\(96\!\cdots\!36\)\( T^{12} - \)\(66\!\cdots\!84\)\( T^{14} + \)\(41\!\cdots\!78\)\( T^{16} - \)\(23\!\cdots\!64\)\( T^{18} + \)\(13\!\cdots\!80\)\( T^{20} - \)\(74\!\cdots\!64\)\( T^{22} + \)\(39\!\cdots\!78\)\( T^{24} - \)\(20\!\cdots\!84\)\( T^{26} + \)\(91\!\cdots\!36\)\( T^{28} - \)\(36\!\cdots\!04\)\( T^{30} + \)\(12\!\cdots\!21\)\( T^{32} - \)\(33\!\cdots\!56\)\( T^{34} + \)\(72\!\cdots\!14\)\( T^{36} - \)\(10\!\cdots\!24\)\( T^{38} + \)\(86\!\cdots\!01\)\( T^{40} \))(\( 1 - 38579170324 T^{2} + \)\(80\!\cdots\!14\)\( T^{4} - \)\(11\!\cdots\!56\)\( T^{6} + \)\(13\!\cdots\!21\)\( T^{8} - \)\(12\!\cdots\!04\)\( T^{10} + \)\(96\!\cdots\!36\)\( T^{12} - \)\(66\!\cdots\!84\)\( T^{14} + \)\(41\!\cdots\!78\)\( T^{16} - \)\(23\!\cdots\!64\)\( T^{18} + \)\(13\!\cdots\!80\)\( T^{20} - \)\(74\!\cdots\!64\)\( T^{22} + \)\(39\!\cdots\!78\)\( T^{24} - \)\(20\!\cdots\!84\)\( T^{26} + \)\(91\!\cdots\!36\)\( T^{28} - \)\(36\!\cdots\!04\)\( T^{30} + \)\(12\!\cdots\!21\)\( T^{32} - \)\(33\!\cdots\!56\)\( T^{34} + \)\(72\!\cdots\!14\)\( T^{36} - \)\(10\!\cdots\!24\)\( T^{38} + \)\(86\!\cdots\!01\)\( T^{40} \))(\( ( 1 - 45601579694 T^{2} + \)\(98\!\cdots\!53\)\( T^{4} - \)\(13\!\cdots\!32\)\( T^{6} + \)\(11\!\cdots\!94\)\( T^{8} - \)\(78\!\cdots\!80\)\( T^{10} + \)\(37\!\cdots\!94\)\( T^{12} - \)\(12\!\cdots\!32\)\( T^{14} + \)\(29\!\cdots\!53\)\( T^{16} - \)\(43\!\cdots\!94\)\( T^{18} + \)\(29\!\cdots\!01\)\( T^{20} )^{2} \))
$97$ (\( 1 + 2083 T + 8587340257 T^{2} \))(\( 1 + 132961 T + 8587340257 T^{2} \))(\( 1 - 61007 T + 8587340257 T^{2} \))(\( 1 + 136651 T + 8587340257 T^{2} \))(\( 1 - 177725 T + 8587340257 T^{2} \))(\( 1 + 43339 T + 8587340257 T^{2} \))(\( 1 + 136651 T + 8587340257 T^{2} \))(\( 1 - 61007 T + 8587340257 T^{2} \))(\( 1 + 132961 T + 8587340257 T^{2} \))(\( 1 + 2083 T + 8587340257 T^{2} \))(\( 1 - 169966 T + 17238594003 T^{2} - 1459555874121262 T^{3} + 73742412689492826049 T^{4} \))(\( 1 + 53762 T + 10243703235 T^{2} + 461672586896834 T^{3} + 73742412689492826049 T^{4} \))(\( 1 + 139430 T + 17569513899 T^{2} + 1197332852033510 T^{3} + 73742412689492826049 T^{4} \))(\( 1 + 79826 T + 17389451667 T^{2} + 685493023355282 T^{3} + 73742412689492826049 T^{4} \))(\( ( 1 + 49603 T + 8587340257 T^{2} )^{2} \))(\( ( 1 - 12917 T + 8587340257 T^{2} )^{2} \))(\( 1 - 88942 T + 13779025491 T^{2} - 763775217138094 T^{3} + 73742412689492826049 T^{4} \))(\( 1 - 88942 T + 13779025491 T^{2} - 763775217138094 T^{3} + 73742412689492826049 T^{4} \))(\( 1 + 79826 T + 17389451667 T^{2} + 685493023355282 T^{3} + 73742412689492826049 T^{4} \))(\( 1 + 139430 T + 17569513899 T^{2} + 1197332852033510 T^{3} + 73742412689492826049 T^{4} \))(\( 1 + 53762 T + 10243703235 T^{2} + 461672586896834 T^{3} + 73742412689492826049 T^{4} \))(\( 1 - 169966 T + 17238594003 T^{2} - 1459555874121262 T^{3} + 73742412689492826049 T^{4} \))(\( 1 - 196191 T + 33319837710 T^{2} - 3268958738863691 T^{3} + \)\(28\!\cdots\!70\)\( T^{4} - \)\(14\!\cdots\!59\)\( T^{5} + \)\(63\!\cdots\!93\)\( T^{6} \))(\( 1 - 196191 T + 33319837710 T^{2} - 3268958738863691 T^{3} + \)\(28\!\cdots\!70\)\( T^{4} - \)\(14\!\cdots\!59\)\( T^{5} + \)\(63\!\cdots\!93\)\( T^{6} \))(\( ( 1 + 177725 T + 8587340257 T^{2} )^{2} \))(\( ( 1 - 43339 T + 8587340257 T^{2} )^{2} \))(\( ( 1 + 15629 T + 8587340257 T^{2} )^{4} \))(\( ( 1 + 83477 T + 8587340257 T^{2} )^{4} \))(\( ( 1 - 206654 T + 27290218611 T^{2} - 1774608213470078 T^{3} + 73742412689492826049 T^{4} )^{4} \))(\( ( 1 - 64214 T + 15980048763 T^{2} - 551427467262998 T^{3} + 73742412689492826049 T^{4} )^{4} \))(\( ( 1 + 70575 T + 22799842350 T^{2} + 1212990465307835 T^{3} + \)\(19\!\cdots\!50\)\( T^{4} + \)\(52\!\cdots\!75\)\( T^{5} + \)\(63\!\cdots\!93\)\( T^{6} )^{4} \))(\( 1 + 30262 T - 7152864215 T^{2} - 275566608895610 T^{3} - 16503442419968593676 T^{4} - \)\(23\!\cdots\!70\)\( T^{5} - \)\(52\!\cdots\!35\)\( T^{6} + \)\(19\!\cdots\!66\)\( T^{7} + \)\(54\!\cdots\!01\)\( T^{8} \))(\( 1 - 46245 T - 17067186177 T^{2} + 116084978368376 T^{3} + \)\(18\!\cdots\!05\)\( T^{4} + \)\(22\!\cdots\!89\)\( T^{5} - \)\(18\!\cdots\!78\)\( T^{6} + \)\(18\!\cdots\!73\)\( T^{7} + \)\(13\!\cdots\!45\)\( T^{8} + \)\(73\!\cdots\!68\)\( T^{9} - \)\(92\!\cdots\!77\)\( T^{10} - \)\(21\!\cdots\!65\)\( T^{11} + \)\(40\!\cdots\!49\)\( T^{12} \))(\( 1 - 33976 T - 11979920730 T^{2} + 1870850391619312 T^{3} + 3904959771682438313 T^{4} - \)\(16\!\cdots\!64\)\( T^{5} + \)\(12\!\cdots\!22\)\( T^{6} + \)\(57\!\cdots\!68\)\( T^{7} - \)\(11\!\cdots\!00\)\( T^{8} + \)\(49\!\cdots\!76\)\( T^{9} + \)\(91\!\cdots\!78\)\( T^{10} - \)\(10\!\cdots\!52\)\( T^{11} + \)\(21\!\cdots\!13\)\( T^{12} + \)\(87\!\cdots\!84\)\( T^{13} - \)\(48\!\cdots\!70\)\( T^{14} - \)\(11\!\cdots\!68\)\( T^{15} + \)\(29\!\cdots\!01\)\( T^{16} \))(\( 1 - 40541 T - 17893496138 T^{2} + 2263333692661293 T^{3} + 99710157551726941410 T^{4} - \)\(30\!\cdots\!95\)\( T^{5} + \)\(10\!\cdots\!20\)\( T^{6} + \)\(21\!\cdots\!29\)\( T^{7} - \)\(20\!\cdots\!15\)\( T^{8} - \)\(65\!\cdots\!06\)\( T^{9} + \)\(19\!\cdots\!00\)\( T^{10} - \)\(56\!\cdots\!42\)\( T^{11} - \)\(15\!\cdots\!35\)\( T^{12} + \)\(13\!\cdots\!97\)\( T^{13} + \)\(56\!\cdots\!20\)\( T^{14} - \)\(14\!\cdots\!15\)\( T^{15} + \)\(39\!\cdots\!90\)\( T^{16} + \)\(77\!\cdots\!49\)\( T^{17} - \)\(52\!\cdots\!38\)\( T^{18} - \)\(10\!\cdots\!37\)\( T^{19} + \)\(21\!\cdots\!49\)\( T^{20} \))(\( 1 - 143167 T - 11385949647 T^{2} + 1605240582289122 T^{3} + 72062857810158958812 T^{4} + \)\(63\!\cdots\!68\)\( T^{5} - \)\(11\!\cdots\!23\)\( T^{6} + \)\(18\!\cdots\!83\)\( T^{7} + \)\(54\!\cdots\!84\)\( T^{8} - \)\(13\!\cdots\!39\)\( T^{9} + \)\(92\!\cdots\!23\)\( T^{10} + \)\(39\!\cdots\!32\)\( T^{11} - \)\(23\!\cdots\!89\)\( T^{12} + \)\(26\!\cdots\!01\)\( T^{13} - \)\(75\!\cdots\!38\)\( T^{14} + \)\(22\!\cdots\!57\)\( T^{15} - \)\(17\!\cdots\!61\)\( T^{16} + \)\(24\!\cdots\!76\)\( T^{17} + \)\(50\!\cdots\!23\)\( T^{18} - \)\(62\!\cdots\!23\)\( T^{19} + \)\(21\!\cdots\!16\)\( T^{20} + \)\(64\!\cdots\!19\)\( T^{21} - \)\(34\!\cdots\!23\)\( T^{22} + \)\(16\!\cdots\!76\)\( T^{23} + \)\(15\!\cdots\!88\)\( T^{24} + \)\(30\!\cdots\!46\)\( T^{25} - \)\(18\!\cdots\!47\)\( T^{26} - \)\(19\!\cdots\!19\)\( T^{27} + \)\(11\!\cdots\!49\)\( T^{28} \))(\( 1 + 291814 T + 3048369358 T^{2} - 2374481152502668 T^{3} + \)\(84\!\cdots\!84\)\( T^{4} + \)\(10\!\cdots\!50\)\( T^{5} - \)\(98\!\cdots\!52\)\( T^{6} + \)\(68\!\cdots\!82\)\( T^{7} + \)\(26\!\cdots\!07\)\( T^{8} - \)\(16\!\cdots\!50\)\( T^{9} - \)\(15\!\cdots\!80\)\( T^{10} + \)\(23\!\cdots\!78\)\( T^{11} + \)\(13\!\cdots\!28\)\( T^{12} - \)\(13\!\cdots\!96\)\( T^{13} + \)\(11\!\cdots\!78\)\( T^{14} + \)\(12\!\cdots\!42\)\( T^{15} - \)\(59\!\cdots\!92\)\( T^{16} + \)\(10\!\cdots\!94\)\( T^{17} + \)\(84\!\cdots\!22\)\( T^{18} - \)\(82\!\cdots\!28\)\( T^{19} + \)\(75\!\cdots\!28\)\( T^{20} + \)\(10\!\cdots\!46\)\( T^{21} - \)\(60\!\cdots\!20\)\( T^{22} - \)\(55\!\cdots\!50\)\( T^{23} + \)\(78\!\cdots\!07\)\( T^{24} + \)\(17\!\cdots\!74\)\( T^{25} - \)\(21\!\cdots\!48\)\( T^{26} + \)\(19\!\cdots\!50\)\( T^{27} + \)\(13\!\cdots\!84\)\( T^{28} - \)\(32\!\cdots\!76\)\( T^{29} + \)\(36\!\cdots\!42\)\( T^{30} + \)\(29\!\cdots\!02\)\( T^{31} + \)\(87\!\cdots\!01\)\( T^{32} \))(\( 1 - 66332 T - 19837478133 T^{2} + 853745862817084 T^{3} + \)\(20\!\cdots\!30\)\( T^{4} - \)\(13\!\cdots\!60\)\( T^{5} - \)\(27\!\cdots\!31\)\( T^{6} + \)\(17\!\cdots\!56\)\( T^{7} + \)\(31\!\cdots\!26\)\( T^{8} - \)\(14\!\cdots\!76\)\( T^{9} - \)\(28\!\cdots\!51\)\( T^{10} - \)\(23\!\cdots\!96\)\( T^{11} + \)\(30\!\cdots\!96\)\( T^{12} - \)\(15\!\cdots\!24\)\( T^{13} - \)\(31\!\cdots\!79\)\( T^{14} + \)\(41\!\cdots\!24\)\( T^{15} + \)\(28\!\cdots\!37\)\( T^{16} - \)\(17\!\cdots\!56\)\( T^{17} - \)\(27\!\cdots\!50\)\( T^{18} + \)\(19\!\cdots\!72\)\( T^{19} + \)\(25\!\cdots\!24\)\( T^{20} + \)\(17\!\cdots\!04\)\( T^{21} - \)\(20\!\cdots\!50\)\( T^{22} - \)\(10\!\cdots\!08\)\( T^{23} + \)\(15\!\cdots\!37\)\( T^{24} + \)\(19\!\cdots\!68\)\( T^{25} - \)\(12\!\cdots\!71\)\( T^{26} - \)\(54\!\cdots\!32\)\( T^{27} + \)\(90\!\cdots\!96\)\( T^{28} - \)\(60\!\cdots\!72\)\( T^{29} - \)\(62\!\cdots\!99\)\( T^{30} - \)\(27\!\cdots\!68\)\( T^{31} + \)\(51\!\cdots\!26\)\( T^{32} + \)\(24\!\cdots\!92\)\( T^{33} - \)\(32\!\cdots\!19\)\( T^{34} - \)\(13\!\cdots\!80\)\( T^{35} + \)\(18\!\cdots\!30\)\( T^{36} + \)\(64\!\cdots\!88\)\( T^{37} - \)\(12\!\cdots\!17\)\( T^{38} - \)\(36\!\cdots\!76\)\( T^{39} + \)\(47\!\cdots\!01\)\( T^{40} \))(\( 1 - 66332 T - 19837478133 T^{2} + 853745862817084 T^{3} + \)\(20\!\cdots\!30\)\( T^{4} - \)\(13\!\cdots\!60\)\( T^{5} - \)\(27\!\cdots\!31\)\( T^{6} + \)\(17\!\cdots\!56\)\( T^{7} + \)\(31\!\cdots\!26\)\( T^{8} - \)\(14\!\cdots\!76\)\( T^{9} - \)\(28\!\cdots\!51\)\( T^{10} - \)\(23\!\cdots\!96\)\( T^{11} + \)\(30\!\cdots\!96\)\( T^{12} - \)\(15\!\cdots\!24\)\( T^{13} - \)\(31\!\cdots\!79\)\( T^{14} + \)\(41\!\cdots\!24\)\( T^{15} + \)\(28\!\cdots\!37\)\( T^{16} - \)\(17\!\cdots\!56\)\( T^{17} - \)\(27\!\cdots\!50\)\( T^{18} + \)\(19\!\cdots\!72\)\( T^{19} + \)\(25\!\cdots\!24\)\( T^{20} + \)\(17\!\cdots\!04\)\( T^{21} - \)\(20\!\cdots\!50\)\( T^{22} - \)\(10\!\cdots\!08\)\( T^{23} + \)\(15\!\cdots\!37\)\( T^{24} + \)\(19\!\cdots\!68\)\( T^{25} - \)\(12\!\cdots\!71\)\( T^{26} - \)\(54\!\cdots\!32\)\( T^{27} + \)\(90\!\cdots\!96\)\( T^{28} - \)\(60\!\cdots\!72\)\( T^{29} - \)\(62\!\cdots\!99\)\( T^{30} - \)\(27\!\cdots\!68\)\( T^{31} + \)\(51\!\cdots\!26\)\( T^{32} + \)\(24\!\cdots\!92\)\( T^{33} - \)\(32\!\cdots\!19\)\( T^{34} - \)\(13\!\cdots\!80\)\( T^{35} + \)\(18\!\cdots\!30\)\( T^{36} + \)\(64\!\cdots\!88\)\( T^{37} - \)\(12\!\cdots\!17\)\( T^{38} - \)\(36\!\cdots\!76\)\( T^{39} + \)\(47\!\cdots\!01\)\( T^{40} \))(\( ( 1 - 20887 T - 25010157506 T^{2} - 1312788479391993 T^{3} + \)\(37\!\cdots\!70\)\( T^{4} + \)\(31\!\cdots\!95\)\( T^{5} - \)\(19\!\cdots\!16\)\( T^{6} - \)\(39\!\cdots\!09\)\( T^{7} - \)\(26\!\cdots\!87\)\( T^{8} + \)\(13\!\cdots\!90\)\( T^{9} + \)\(15\!\cdots\!36\)\( T^{10} + \)\(11\!\cdots\!30\)\( T^{11} - \)\(19\!\cdots\!63\)\( T^{12} - \)\(24\!\cdots\!37\)\( T^{13} - \)\(10\!\cdots\!16\)\( T^{14} + \)\(14\!\cdots\!15\)\( T^{15} + \)\(14\!\cdots\!30\)\( T^{16} - \)\(45\!\cdots\!49\)\( T^{17} - \)\(73\!\cdots\!06\)\( T^{18} - \)\(53\!\cdots\!59\)\( T^{19} + \)\(21\!\cdots\!49\)\( T^{20} )^{2} \))
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