# Properties

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

## 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
$5$ ($$1 + 84 T + 3125 T^{2}$$)($$1 + 33 T + 3125 T^{2}$$)($$1 + 29 T + 3125 T^{2}$$)($$1 + 24 T + 3125 T^{2}$$)($$1 + 3125 T^{2}$$)($$1 + 3125 T^{2}$$)($$1 - 24 T + 3125 T^{2}$$)($$1 - 29 T + 3125 T^{2}$$)($$1 - 33 T + 3125 T^{2}$$)($$1 - 84 T + 3125 T^{2}$$)($$1 + 72 T + 3721 T^{2} + 225000 T^{3} + 9765625 T^{4}$$)($$1 + 38 T - 49 T^{2} + 118750 T^{3} + 9765625 T^{4}$$)($$1 + 28 T + 3386 T^{2} + 87500 T^{3} + 9765625 T^{4}$$)($$1 + 20 T + 4469 T^{2} + 62500 T^{3} + 9765625 T^{4}$$)($$1 + 2794 T^{2} + 9765625 T^{4}$$)($$1 - 1526 T^{2} + 9765625 T^{4}$$)($$1 + 2929 T^{2} + 9765625 T^{4}$$)($$1 + 2929 T^{2} + 9765625 T^{4}$$)($$1 - 20 T + 4469 T^{2} - 62500 T^{3} + 9765625 T^{4}$$)($$1 - 28 T + 3386 T^{2} - 87500 T^{3} + 9765625 T^{4}$$)($$1 - 38 T - 49 T^{2} - 118750 T^{3} + 9765625 T^{4}$$)($$1 - 72 T + 3721 T^{2} - 225000 T^{3} + 9765625 T^{4}$$)($$1 + 36 T + 3279 T^{2} + 335144 T^{3} + 10246875 T^{4} + 351562500 T^{5} + 30517578125 T^{6}$$)($$1 - 36 T + 3279 T^{2} - 335144 T^{3} + 10246875 T^{4} - 351562500 T^{5} + 30517578125 T^{6}$$)($$( 1 - 3125 T^{2} )^{2}$$)($$( 1 - 3125 T^{2} )^{2}$$)($$( 1 - 634 T^{2} + 9765625 T^{4} )^{2}$$)($$( 1 - 1354 T^{2} + 9765625 T^{4} )^{2}$$)($$( 1 - 6308 T^{2} + 20018166 T^{4} - 61601562500 T^{6} + 95367431640625 T^{8} )^{2}$$)($$( 1 - 4058 T^{2} + 8193291 T^{4} - 39628906250 T^{6} + 95367431640625 T^{8} )^{2}$$)($$( 1 - 7419 T^{2} + 24690174 T^{4} - 61098024031 T^{6} + 241114980468750 T^{8} - 707530975341796875 T^{10} +$$$$93\!\cdots\!25$$$$T^{12} )^{2}$$)($$1 - 54 T - 3199 T^{2} + 7290 T^{3} + 18515100 T^{4} + 22781250 T^{5} - 31240234375 T^{6} - 1647949218750 T^{7} + 95367431640625 T^{8}$$)($$1 - 54 T - 1788 T^{2} - 10584 T^{3} + 854952 T^{4} + 487704186 T^{5} - 21775421594 T^{6} + 1524075581250 T^{7} + 8349140625000 T^{8} - 322998046875000 T^{9} - 170516967773437500 T^{10} - 16093254089355468750 T^{11} +$$$$93\!\cdots\!25$$$$T^{12}$$)($$1 + 78 T - 2381 T^{2} - 191094 T^{3} + 7253005 T^{4} + 66450636 T^{5} - 21330994286 T^{6} - 411629383632 T^{7} - 16622006693174 T^{8} - 1286341823850000 T^{9} - 208310491074218750 T^{10} + 2027912475585937500 T^{11} +$$$$69\!\cdots\!25$$$$T^{12} -$$$$56\!\cdots\!50$$$$T^{13} -$$$$22\!\cdots\!25$$$$T^{14} +$$$$22\!\cdots\!50$$$$T^{15} +$$$$90\!\cdots\!25$$$$T^{16}$$)($$1 - 21 T - 5203 T^{2} + 519930 T^{3} + 14035794 T^{4} - 2854822770 T^{5} + 76722872007 T^{6} + 9761967315441 T^{7} - 599011867854189 T^{8} - 11924309583255600 T^{9} + 2533145723872694124 T^{10} - 37263467447673750000 T^{11} -$$$$58\!\cdots\!25$$$$T^{12} +$$$$29\!\cdots\!25$$$$T^{13} +$$$$73\!\cdots\!75$$$$T^{14} -$$$$85\!\cdots\!50$$$$T^{15} +$$$$13\!\cdots\!50$$$$T^{16} +$$$$15\!\cdots\!50$$$$T^{17} -$$$$47\!\cdots\!75$$$$T^{18} -$$$$59\!\cdots\!25$$$$T^{19} +$$$$88\!\cdots\!25$$$$T^{20}$$)($$1 + 25 T - 8164 T^{2} - 318611 T^{3} + 27932517 T^{4} + 1565127556 T^{5} - 45270335220 T^{6} - 3251191238312 T^{7} - 19378417944440 T^{8} + 8065656641221992 T^{9} + 579169791252842788 T^{10} - 38380584781304890100 T^{11} -$$$$47\!\cdots\!26$$$$T^{12} +$$$$63\!\cdots\!18$$$$T^{13} +$$$$21\!\cdots\!84$$$$T^{14} +$$$$19\!\cdots\!50$$$$T^{15} -$$$$46\!\cdots\!50$$$$T^{16} -$$$$11\!\cdots\!00$$$$T^{17} +$$$$55\!\cdots\!00$$$$T^{18} +$$$$24\!\cdots\!00$$$$T^{19} -$$$$18\!\cdots\!00$$$$T^{20} -$$$$94\!\cdots\!00$$$$T^{21} -$$$$41\!\cdots\!00$$$$T^{22} +$$$$44\!\cdots\!00$$$$T^{23} +$$$$24\!\cdots\!25$$$$T^{24} -$$$$88\!\cdots\!75$$$$T^{25} -$$$$70\!\cdots\!00$$$$T^{26} +$$$$67\!\cdots\!25$$$$T^{27} +$$$$84\!\cdots\!25$$$$T^{28}$$)($$1 + 25 T - 9961 T^{2} - 355120 T^{3} + 41317970 T^{4} + 1924368340 T^{5} - 44885115889 T^{6} - 3607801829815 T^{7} - 229629274018871 T^{8} - 5266430289086380 T^{9} + 772909460585629736 T^{10} + 22637800967616144220 T^{11} +$$$$27\!\cdots\!70$$$$T^{12} +$$$$55\!\cdots\!50$$$$T^{13} -$$$$57\!\cdots\!86$$$$T^{14} -$$$$19\!\cdots\!40$$$$T^{15} +$$$$19\!\cdots\!76$$$$T^{16} -$$$$59\!\cdots\!00$$$$T^{17} -$$$$55\!\cdots\!50$$$$T^{18} +$$$$16\!\cdots\!50$$$$T^{19} +$$$$26\!\cdots\!50$$$$T^{20} +$$$$67\!\cdots\!00$$$$T^{21} +$$$$71\!\cdots\!00$$$$T^{22} -$$$$15\!\cdots\!00$$$$T^{23} -$$$$20\!\cdots\!75$$$$T^{24} -$$$$10\!\cdots\!75$$$$T^{25} -$$$$39\!\cdots\!25$$$$T^{26} +$$$$53\!\cdots\!00$$$$T^{27} +$$$$35\!\cdots\!50$$$$T^{28} -$$$$96\!\cdots\!00$$$$T^{29} -$$$$84\!\cdots\!25$$$$T^{30} +$$$$66\!\cdots\!25$$$$T^{31} +$$$$82\!\cdots\!25$$$$T^{32}$$)($$1 + 87 T + 15458 T^{2} + 1125345 T^{3} + 113212183 T^{4} + 8141460228 T^{5} + 675640183560 T^{6} + 47285055269028 T^{7} + 3450662159177172 T^{8} + 213883991847446580 T^{9} + 13854465411347593176 T^{10} +$$$$78\!\cdots\!20$$$$T^{11} +$$$$47\!\cdots\!17$$$$T^{12} +$$$$25\!\cdots\!27$$$$T^{13} +$$$$13\!\cdots\!10$$$$T^{14} +$$$$69\!\cdots\!97$$$$T^{15} +$$$$32\!\cdots\!23$$$$T^{16} +$$$$15\!\cdots\!80$$$$T^{17} +$$$$74\!\cdots\!28$$$$T^{18} +$$$$38\!\cdots\!48$$$$T^{19} +$$$$20\!\cdots\!76$$$$T^{20} +$$$$12\!\cdots\!00$$$$T^{21} +$$$$73\!\cdots\!00$$$$T^{22} +$$$$48\!\cdots\!00$$$$T^{23} +$$$$31\!\cdots\!75$$$$T^{24} +$$$$20\!\cdots\!25$$$$T^{25} +$$$$12\!\cdots\!50$$$$T^{26} +$$$$74\!\cdots\!75$$$$T^{27} +$$$$42\!\cdots\!25$$$$T^{28} +$$$$22\!\cdots\!00$$$$T^{29} +$$$$12\!\cdots\!00$$$$T^{30} +$$$$59\!\cdots\!00$$$$T^{31} +$$$$29\!\cdots\!00$$$$T^{32} +$$$$12\!\cdots\!00$$$$T^{33} +$$$$57\!\cdots\!00$$$$T^{34} +$$$$21\!\cdots\!00$$$$T^{35} +$$$$93\!\cdots\!75$$$$T^{36} +$$$$29\!\cdots\!25$$$$T^{37} +$$$$12\!\cdots\!50$$$$T^{38} +$$$$21\!\cdots\!75$$$$T^{39} +$$$$78\!\cdots\!25$$$$T^{40}$$)($$1 + 87 T + 15458 T^{2} + 1125345 T^{3} + 113212183 T^{4} + 8141460228 T^{5} + 675640183560 T^{6} + 47285055269028 T^{7} + 3450662159177172 T^{8} + 213883991847446580 T^{9} + 13854465411347593176 T^{10} +$$$$78\!\cdots\!20$$$$T^{11} +$$$$47\!\cdots\!17$$$$T^{12} +$$$$25\!\cdots\!27$$$$T^{13} +$$$$13\!\cdots\!10$$$$T^{14} +$$$$69\!\cdots\!97$$$$T^{15} +$$$$32\!\cdots\!23$$$$T^{16} +$$$$15\!\cdots\!80$$$$T^{17} +$$$$74\!\cdots\!28$$$$T^{18} +$$$$38\!\cdots\!48$$$$T^{19} +$$$$20\!\cdots\!76$$$$T^{20} +$$$$12\!\cdots\!00$$$$T^{21} +$$$$73\!\cdots\!00$$$$T^{22} +$$$$48\!\cdots\!00$$$$T^{23} +$$$$31\!\cdots\!75$$$$T^{24} +$$$$20\!\cdots\!25$$$$T^{25} +$$$$12\!\cdots\!50$$$$T^{26} +$$$$74\!\cdots\!75$$$$T^{27} +$$$$42\!\cdots\!25$$$$T^{28} +$$$$22\!\cdots\!00$$$$T^{29} +$$$$12\!\cdots\!00$$$$T^{30} +$$$$59\!\cdots\!00$$$$T^{31} +$$$$29\!\cdots\!00$$$$T^{32} +$$$$12\!\cdots\!00$$$$T^{33} +$$$$57\!\cdots\!00$$$$T^{34} +$$$$21\!\cdots\!00$$$$T^{35} +$$$$93\!\cdots\!75$$$$T^{36} +$$$$29\!\cdots\!25$$$$T^{37} +$$$$12\!\cdots\!50$$$$T^{38} +$$$$21\!\cdots\!75$$$$T^{39} +$$$$78\!\cdots\!25$$$$T^{40}$$)($$( 1 - 87 T + 10861 T^{2} - 725406 T^{3} + 52379262 T^{4} - 2806526226 T^{5} + 140091522087 T^{6} - 7245496266261 T^{7} + 299675380163475 T^{8} - 18859358149927032 T^{9} + 755884865529802548 T^{10} - 58935494218521975000 T^{11} +$$$$29\!\cdots\!75$$$$T^{12} -$$$$22\!\cdots\!25$$$$T^{13} +$$$$13\!\cdots\!75$$$$T^{14} -$$$$83\!\cdots\!50$$$$T^{15} +$$$$48\!\cdots\!50$$$$T^{16} -$$$$21\!\cdots\!50$$$$T^{17} +$$$$98\!\cdots\!25$$$$T^{18} -$$$$24\!\cdots\!75$$$$T^{19} +$$$$88\!\cdots\!25$$$$T^{20} )^{2}$$)
$7$ ($$1 - 193 T + 16807 T^{2}$$)($$1 + 59 T + 16807 T^{2}$$)($$1 + 201 T + 16807 T^{2}$$)($$1 + 77 T + 16807 T^{2}$$)($$1 - 25 T + 16807 T^{2}$$)($$1 - 211 T + 16807 T^{2}$$)($$1 + 77 T + 16807 T^{2}$$)($$1 + 201 T + 16807 T^{2}$$)($$1 + 59 T + 16807 T^{2}$$)($$1 - 193 T + 16807 T^{2}$$)($$1 - 8 T + 21237 T^{2} - 134456 T^{3} + 282475249 T^{4}$$)($$1 - 294 T + 48563 T^{2} - 4941258 T^{3} + 282475249 T^{4}$$)($$1 + 54 T + 22103 T^{2} + 907578 T^{3} + 282475249 T^{4}$$)($$1 + 12 T + 31769 T^{2} + 201684 T^{3} + 282475249 T^{4}$$)($$( 1 + 167 T + 16807 T^{2} )^{2}$$)($$( 1 + 29 T + 16807 T^{2} )^{2}$$)($$1 - 32 T + 3981 T^{2} - 537824 T^{3} + 282475249 T^{4}$$)($$1 - 32 T + 3981 T^{2} - 537824 T^{3} + 282475249 T^{4}$$)($$1 + 12 T + 31769 T^{2} + 201684 T^{3} + 282475249 T^{4}$$)($$1 + 54 T + 22103 T^{2} + 907578 T^{3} + 282475249 T^{4}$$)($$1 - 294 T + 48563 T^{2} - 4941258 T^{3} + 282475249 T^{4}$$)($$1 - 8 T + 21237 T^{2} - 134456 T^{3} + 282475249 T^{4}$$)($$1 + 15 T + 17472 T^{2} + 2635023 T^{3} + 293651904 T^{4} + 4237128735 T^{5} + 4747561509943 T^{6}$$)($$1 + 15 T + 17472 T^{2} + 2635023 T^{3} + 293651904 T^{4} + 4237128735 T^{5} + 4747561509943 T^{6}$$)($$( 1 - 25 T + 16807 T^{2} )( 1 + 25 T + 16807 T^{2} )$$)($$( 1 - 211 T + 16807 T^{2} )( 1 + 211 T + 16807 T^{2} )$$)($$( 1 - 19331 T^{2} + 282475249 T^{4} )^{2}$$)($$( 1 - 24539 T^{2} + 282475249 T^{4} )^{2}$$)($$( 1 - 51166 T^{2} + 1214804595 T^{4} - 14453128590334 T^{6} + 79792266297612001 T^{8} )^{2}$$)($$( 1 - 35854 T^{2} + 880764099 T^{4} - 10127867577646 T^{6} + 79792266297612001 T^{8} )^{2}$$)($$( 1 - 32937 T^{2} + 184725006 T^{4} + 3646913855731 T^{6} + 52180242066376494 T^{8} -$$$$26\!\cdots\!37$$$$T^{10} +$$$$22\!\cdots\!49$$$$T^{12} )^{2}$$)($$1 + 74 T - 29291 T^{2} + 85322 T^{3} + 834233908 T^{4} + 1434006854 T^{5} - 8273982518459 T^{6} + 351319551735782 T^{7} + 79792266297612001 T^{8}$$)($$1 - 132 T + 9930 T^{2} - 2383268 T^{3} + 22216338 T^{4} + 1188047664 T^{5} + 4115243377158 T^{6} + 19967517088848 T^{7} + 6275565608418162 T^{8} - 11314711424678833724 T^{9} +$$$$79\!\cdots\!30$$$$T^{10} -$$$$17\!\cdots\!24$$$$T^{11} +$$$$22\!\cdots\!49$$$$T^{12}$$)($$1 + 28 T - 37767 T^{2} + 688508 T^{3} + 752155661 T^{4} - 29978584680 T^{5} - 6360743348222 T^{6} + 326958516789136 T^{7} + 37987499418745374 T^{8} + 5495191791675008752 T^{9} -$$$$17\!\cdots\!78$$$$T^{10} -$$$$14\!\cdots\!40$$$$T^{11} +$$$$60\!\cdots\!61$$$$T^{12} +$$$$92\!\cdots\!56$$$$T^{13} -$$$$85\!\cdots\!83$$$$T^{14} +$$$$10\!\cdots\!04$$$$T^{15} +$$$$63\!\cdots\!01$$$$T^{16}$$)($$1 + 29 T - 39569 T^{2} - 3762444 T^{3} + 440397336 T^{4} + 77352503496 T^{5} - 2769093584103 T^{6} + 560172784984473 T^{7} + 238615372451780007 T^{8} - 16031898530170676332 T^{9} -$$$$69\!\cdots\!60$$$$T^{10} -$$$$26\!\cdots\!24$$$$T^{11} +$$$$67\!\cdots\!43$$$$T^{12} +$$$$26\!\cdots\!39$$$$T^{13} -$$$$22\!\cdots\!03$$$$T^{14} +$$$$10\!\cdots\!72$$$$T^{15} +$$$$99\!\cdots\!64$$$$T^{16} -$$$$14\!\cdots\!92$$$$T^{17} -$$$$25\!\cdots\!69$$$$T^{18} +$$$$31\!\cdots\!03$$$$T^{19} +$$$$17\!\cdots\!49$$$$T^{20}$$)($$1 + 93 T - 47014 T^{2} - 4171389 T^{3} + 1494556117 T^{4} + 156294715500 T^{5} - 27659965511228 T^{6} - 3955572741308496 T^{7} + 262751253492307760 T^{8} + 78744340598713966992 T^{9} +$$$$41\!\cdots\!80$$$$T^{10} -$$$$10\!\cdots\!20$$$$T^{11} -$$$$20\!\cdots\!70$$$$T^{12} +$$$$73\!\cdots\!26$$$$T^{13} +$$$$46\!\cdots\!88$$$$T^{14} +$$$$12\!\cdots\!82$$$$T^{15} -$$$$58\!\cdots\!30$$$$T^{16} -$$$$50\!\cdots\!60$$$$T^{17} +$$$$33\!\cdots\!80$$$$T^{18} +$$$$10\!\cdots\!44$$$$T^{19} +$$$$59\!\cdots\!40$$$$T^{20} -$$$$14\!\cdots\!28$$$$T^{21} -$$$$17\!\cdots\!28$$$$T^{22} +$$$$16\!\cdots\!00$$$$T^{23} +$$$$26\!\cdots\!33$$$$T^{24} -$$$$12\!\cdots\!27$$$$T^{25} -$$$$23\!\cdots\!14$$$$T^{26} +$$$$79\!\cdots\!51$$$$T^{27} +$$$$14\!\cdots\!49$$$$T^{28}$$)($$1 - 93 T - 51467 T^{2} + 1139634 T^{3} + 1413276300 T^{4} + 65493773442 T^{5} - 18530034778363 T^{6} - 2277040599077847 T^{7} - 8935217953801423 T^{8} + 25357782238509171204 T^{9} +$$$$28\!\cdots\!76$$$$T^{10} -$$$$16\!\cdots\!28$$$$T^{11} +$$$$24\!\cdots\!90$$$$T^{12} -$$$$20\!\cdots\!38$$$$T^{13} -$$$$98\!\cdots\!14$$$$T^{14} +$$$$83\!\cdots\!40$$$$T^{15} +$$$$21\!\cdots\!24$$$$T^{16} +$$$$14\!\cdots\!80$$$$T^{17} -$$$$27\!\cdots\!86$$$$T^{18} -$$$$99\!\cdots\!34$$$$T^{19} +$$$$19\!\cdots\!90$$$$T^{20} -$$$$21\!\cdots\!96$$$$T^{21} +$$$$64\!\cdots\!24$$$$T^{22} +$$$$96\!\cdots\!72$$$$T^{23} -$$$$56\!\cdots\!23$$$$T^{24} -$$$$24\!\cdots\!29$$$$T^{25} -$$$$33\!\cdots\!87$$$$T^{26} +$$$$19\!\cdots\!06$$$$T^{27} +$$$$71\!\cdots\!00$$$$T^{28} +$$$$97\!\cdots\!38$$$$T^{29} -$$$$73\!\cdots\!83$$$$T^{30} -$$$$22\!\cdots\!99$$$$T^{31} +$$$$40\!\cdots\!01$$$$T^{32}$$)($$1 + 87 T + 78874 T^{2} + 6642537 T^{3} + 2701955941 T^{4} + 224177740020 T^{5} + 57246374662410 T^{6} + 4438488480046074 T^{7} + 976097341773829020 T^{8} + 57120315129690558390 T^{9} +$$$$13\!\cdots\!18$$$$T^{10} +$$$$41\!\cdots\!16$$$$T^{11} +$$$$13\!\cdots\!11$$$$T^{12} +$$$$10\!\cdots\!09$$$$T^{13} +$$$$23\!\cdots\!34$$$$T^{14} +$$$$12\!\cdots\!67$$$$T^{15} +$$$$92\!\cdots\!75$$$$T^{16} +$$$$68\!\cdots\!08$$$$T^{17} +$$$$23\!\cdots\!76$$$$T^{18} +$$$$18\!\cdots\!76$$$$T^{19} +$$$$42\!\cdots\!64$$$$T^{20} +$$$$30\!\cdots\!32$$$$T^{21} +$$$$65\!\cdots\!24$$$$T^{22} +$$$$32\!\cdots\!44$$$$T^{23} +$$$$73\!\cdots\!75$$$$T^{24} +$$$$16\!\cdots\!69$$$$T^{25} +$$$$52\!\cdots\!66$$$$T^{26} +$$$$41\!\cdots\!87$$$$T^{27} +$$$$83\!\cdots\!11$$$$T^{28} +$$$$44\!\cdots\!12$$$$T^{29} +$$$$24\!\cdots\!82$$$$T^{30} +$$$$17\!\cdots\!70$$$$T^{31} +$$$$49\!\cdots\!20$$$$T^{32} +$$$$37\!\cdots\!18$$$$T^{33} +$$$$82\!\cdots\!90$$$$T^{34} +$$$$54\!\cdots\!60$$$$T^{35} +$$$$10\!\cdots\!41$$$$T^{36} +$$$$45\!\cdots\!59$$$$T^{37} +$$$$90\!\cdots\!26$$$$T^{38} +$$$$16\!\cdots\!41$$$$T^{39} +$$$$32\!\cdots\!01$$$$T^{40}$$)($$1 - 87 T + 78874 T^{2} - 6642537 T^{3} + 2701955941 T^{4} - 224177740020 T^{5} + 57246374662410 T^{6} - 4438488480046074 T^{7} + 976097341773829020 T^{8} - 57120315129690558390 T^{9} +$$$$13\!\cdots\!18$$$$T^{10} -$$$$41\!\cdots\!16$$$$T^{11} +$$$$13\!\cdots\!11$$$$T^{12} -$$$$10\!\cdots\!09$$$$T^{13} +$$$$23\!\cdots\!34$$$$T^{14} -$$$$12\!\cdots\!67$$$$T^{15} +$$$$92\!\cdots\!75$$$$T^{16} -$$$$68\!\cdots\!08$$$$T^{17} +$$$$23\!\cdots\!76$$$$T^{18} -$$$$18\!\cdots\!76$$$$T^{19} +$$$$42\!\cdots\!64$$$$T^{20} -$$$$30\!\cdots\!32$$$$T^{21} +$$$$65\!\cdots\!24$$$$T^{22} -$$$$32\!\cdots\!44$$$$T^{23} +$$$$73\!\cdots\!75$$$$T^{24} -$$$$16\!\cdots\!69$$$$T^{25} +$$$$52\!\cdots\!66$$$$T^{26} -$$$$41\!\cdots\!87$$$$T^{27} +$$$$83\!\cdots\!11$$$$T^{28} -$$$$44\!\cdots\!12$$$$T^{29} +$$$$24\!\cdots\!82$$$$T^{30} -$$$$17\!\cdots\!70$$$$T^{31} +$$$$49\!\cdots\!20$$$$T^{32} -$$$$37\!\cdots\!18$$$$T^{33} +$$$$82\!\cdots\!90$$$$T^{34} -$$$$54\!\cdots\!60$$$$T^{35} +$$$$10\!\cdots\!41$$$$T^{36} -$$$$45\!\cdots\!59$$$$T^{37} +$$$$90\!\cdots\!26$$$$T^{38} -$$$$16\!\cdots\!41$$$$T^{39} +$$$$32\!\cdots\!01$$$$T^{40}$$)($$1 + 65911 T^{2} + 2512603861 T^{4} + 63770665558962 T^{6} + 1195859157975323922 T^{8} +$$$$17\!\cdots\!02$$$$T^{10} +$$$$25\!\cdots\!63$$$$T^{12} +$$$$47\!\cdots\!81$$$$T^{14} +$$$$10\!\cdots\!19$$$$T^{16} +$$$$23\!\cdots\!60$$$$T^{18} +$$$$43\!\cdots\!00$$$$T^{20} +$$$$66\!\cdots\!40$$$$T^{22} +$$$$86\!\cdots\!19$$$$T^{24} +$$$$10\!\cdots\!69$$$$T^{26} +$$$$16\!\cdots\!63$$$$T^{28} +$$$$32\!\cdots\!98$$$$T^{30} +$$$$60\!\cdots\!22$$$$T^{32} +$$$$91\!\cdots\!38$$$$T^{34} +$$$$10\!\cdots\!61$$$$T^{36} +$$$$75\!\cdots\!39$$$$T^{38} +$$$$32\!\cdots\!01$$$$T^{40}$$)
$11$ ($$1 - 348 T + 161051 T^{2}$$)($$1 - 147 T + 161051 T^{2}$$)($$1 + 43 T + 161051 T^{2}$$)($$1 - 408 T + 161051 T^{2}$$)($$1 + 161051 T^{2}$$)($$1 + 161051 T^{2}$$)($$1 + 408 T + 161051 T^{2}$$)($$1 - 43 T + 161051 T^{2}$$)($$1 + 147 T + 161051 T^{2}$$)($$1 + 348 T + 161051 T^{2}$$)($$1 - 522 T + 351055 T^{2} - 84068622 T^{3} + 25937424601 T^{4}$$)($$1 + 130 T + 86567 T^{2} + 20936630 T^{3} + 25937424601 T^{4}$$)($$1 - 148 T + 300038 T^{2} - 23835548 T^{3} + 25937424601 T^{4}$$)($$1 + 238 T + 65399 T^{2} + 38330138 T^{3} + 25937424601 T^{4}$$)($$1 - 261962 T^{2} + 25937424601 T^{4}$$)($$1 + 314326 T^{2} + 25937424601 T^{4}$$)($$1 + 486 T + 168607 T^{2} + 78270786 T^{3} + 25937424601 T^{4}$$)($$1 - 486 T + 168607 T^{2} - 78270786 T^{3} + 25937424601 T^{4}$$)($$1 - 238 T + 65399 T^{2} - 38330138 T^{3} + 25937424601 T^{4}$$)($$1 + 148 T + 300038 T^{2} + 23835548 T^{3} + 25937424601 T^{4}$$)($$1 - 130 T + 86567 T^{2} - 20936630 T^{3} + 25937424601 T^{4}$$)($$1 + 522 T + 351055 T^{2} + 84068622 T^{3} + 25937424601 T^{4}$$)($$1 + 444 T + 179073 T^{2} + 13886824 T^{3} + 28839885723 T^{4} + 11516216522844 T^{5} + 4177248169415651 T^{6}$$)($$1 - 444 T + 179073 T^{2} - 13886824 T^{3} + 28839885723 T^{4} - 11516216522844 T^{5} + 4177248169415651 T^{6}$$)($$( 1 + 161051 T^{2} )^{2}$$)($$( 1 + 161051 T^{2} )^{2}$$)($$( 1 + 170470 T^{2} + 25937424601 T^{4} )^{2}$$)($$( 1 + 307414 T^{2} + 25937424601 T^{4} )^{2}$$)($$( 1 - 58660 T^{2} - 13070063946 T^{4} - 1521489327094660 T^{6} +$$$$67\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 + 192710 T^{2} + 44935304379 T^{4} + 4998401094858710 T^{6} +$$$$67\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 + 415857 T^{2} + 77530270038 T^{4} + 11715995803283989 T^{6} +$$$$20\!\cdots\!38$$$$T^{8} +$$$$27\!\cdots\!57$$$$T^{10} +$$$$17\!\cdots\!01$$$$T^{12} )^{2}$$)($$1 + 78 T + 81845 T^{2} - 31033314 T^{3} - 21177529764 T^{4} - 4997946253014 T^{5} + 2122848516468845 T^{6} + 325825357214420778 T^{7} +$$$$67\!\cdots\!01$$$$T^{8}$$)($$1 + 315 T - 222063 T^{2} - 18182214 T^{3} + 32678625651 T^{4} - 5249320804629 T^{5} - 7280422055915978 T^{6} - 845408364906305079 T^{7} +$$$$84\!\cdots\!51$$$$T^{8} -$$$$75\!\cdots\!14$$$$T^{9} -$$$$14\!\cdots\!63$$$$T^{10} +$$$$34\!\cdots\!65$$$$T^{11} +$$$$17\!\cdots\!01$$$$T^{12}$$)($$1 - 444 T - 421874 T^{2} + 122372328 T^{3} + 147603288625 T^{4} - 24043789512072 T^{5} - 33881306185300610 T^{6} + 1343287267601416260 T^{7} +$$$$64\!\cdots\!56$$$$T^{8} +$$$$21\!\cdots\!60$$$$T^{9} -$$$$87\!\cdots\!10$$$$T^{10} -$$$$10\!\cdots\!72$$$$T^{11} +$$$$99\!\cdots\!25$$$$T^{12} +$$$$13\!\cdots\!28$$$$T^{13} -$$$$73\!\cdots\!74$$$$T^{14} -$$$$12\!\cdots\!44$$$$T^{15} +$$$$45\!\cdots\!01$$$$T^{16}$$)($$1 - 177 T - 396232 T^{2} - 71434269 T^{3} + 104816625882 T^{4} + 33726096455301 T^{5} - 6913987980717606 T^{6} - 8552599160812456257 T^{7} -$$$$10\!\cdots\!51$$$$T^{8} +$$$$50\!\cdots\!82$$$$T^{9} +$$$$47\!\cdots\!16$$$$T^{10} +$$$$81\!\cdots\!82$$$$T^{11} -$$$$27\!\cdots\!51$$$$T^{12} -$$$$35\!\cdots\!07$$$$T^{13} -$$$$46\!\cdots\!06$$$$T^{14} +$$$$36\!\cdots\!51$$$$T^{15} +$$$$18\!\cdots\!82$$$$T^{16} -$$$$20\!\cdots\!19$$$$T^{17} -$$$$17\!\cdots\!32$$$$T^{18} -$$$$12\!\cdots\!27$$$$T^{19} +$$$$11\!\cdots\!01$$$$T^{20}$$)($$1 + 359 T - 713557 T^{2} - 159433936 T^{3} + 305969114322 T^{4} + 33381105701438 T^{5} - 91317280089255693 T^{6} - 2170736290619808613 T^{7} +$$$$21\!\cdots\!56$$$$T^{8} -$$$$58\!\cdots\!73$$$$T^{9} -$$$$39\!\cdots\!79$$$$T^{10} +$$$$17\!\cdots\!14$$$$T^{11} +$$$$67\!\cdots\!61$$$$T^{12} -$$$$13\!\cdots\!75$$$$T^{13} -$$$$10\!\cdots\!94$$$$T^{14} -$$$$21\!\cdots\!25$$$$T^{15} +$$$$17\!\cdots\!61$$$$T^{16} +$$$$72\!\cdots\!14$$$$T^{17} -$$$$26\!\cdots\!79$$$$T^{18} -$$$$63\!\cdots\!23$$$$T^{19} +$$$$36\!\cdots\!56$$$$T^{20} -$$$$61\!\cdots\!63$$$$T^{21} -$$$$41\!\cdots\!93$$$$T^{22} +$$$$24\!\cdots\!38$$$$T^{23} +$$$$35\!\cdots\!22$$$$T^{24} -$$$$30\!\cdots\!36$$$$T^{25} -$$$$21\!\cdots\!57$$$$T^{26} +$$$$17\!\cdots\!09$$$$T^{27} +$$$$78\!\cdots\!01$$$$T^{28}$$)($$1 + 596 T - 61060 T^{2} - 455883968 T^{3} - 218809782778 T^{4} + 19952947552364 T^{5} + 92717220800303336 T^{6} + 39432028403284968532 T^{7} -$$$$21\!\cdots\!99$$$$T^{8} -$$$$11\!\cdots\!92$$$$T^{9} -$$$$46\!\cdots\!52$$$$T^{10} -$$$$75\!\cdots\!32$$$$T^{11} +$$$$88\!\cdots\!86$$$$T^{12} +$$$$40\!\cdots\!20$$$$T^{13} +$$$$51\!\cdots\!24$$$$T^{14} -$$$$45\!\cdots\!20$$$$T^{15} -$$$$29\!\cdots\!60$$$$T^{16} -$$$$72\!\cdots\!20$$$$T^{17} +$$$$13\!\cdots\!24$$$$T^{18} +$$$$17\!\cdots\!20$$$$T^{19} +$$$$59\!\cdots\!86$$$$T^{20} -$$$$82\!\cdots\!32$$$$T^{21} -$$$$81\!\cdots\!52$$$$T^{22} -$$$$31\!\cdots\!92$$$$T^{23} -$$$$98\!\cdots\!99$$$$T^{24} +$$$$28\!\cdots\!32$$$$T^{25} +$$$$10\!\cdots\!36$$$$T^{26} +$$$$37\!\cdots\!64$$$$T^{27} -$$$$66\!\cdots\!78$$$$T^{28} -$$$$22\!\cdots\!68$$$$T^{29} -$$$$48\!\cdots\!60$$$$T^{30} +$$$$75\!\cdots\!96$$$$T^{31} +$$$$20\!\cdots\!01$$$$T^{32}$$)($$1 + 570 T - 588011 T^{2} - 304300326 T^{3} + 240048514402 T^{4} + 87664355195346 T^{5} - 72804214951419813 T^{6} - 11704157913872254374 T^{7} +$$$$17\!\cdots\!82$$$$T^{8} -$$$$14\!\cdots\!50$$$$T^{9} -$$$$30\!\cdots\!53$$$$T^{10} +$$$$13\!\cdots\!66$$$$T^{11} +$$$$33\!\cdots\!00$$$$T^{12} -$$$$41\!\cdots\!90$$$$T^{13} +$$$$13\!\cdots\!11$$$$T^{14} +$$$$84\!\cdots\!74$$$$T^{15} -$$$$16\!\cdots\!35$$$$T^{16} -$$$$11\!\cdots\!64$$$$T^{17} +$$$$48\!\cdots\!10$$$$T^{18} +$$$$74\!\cdots\!36$$$$T^{19} -$$$$91\!\cdots\!08$$$$T^{20} +$$$$11\!\cdots\!36$$$$T^{21} +$$$$12\!\cdots\!10$$$$T^{22} -$$$$48\!\cdots\!64$$$$T^{23} -$$$$11\!\cdots\!35$$$$T^{24} +$$$$91\!\cdots\!74$$$$T^{25} +$$$$24\!\cdots\!11$$$$T^{26} -$$$$11\!\cdots\!90$$$$T^{27} +$$$$15\!\cdots\!00$$$$T^{28} +$$$$97\!\cdots\!66$$$$T^{29} -$$$$35\!\cdots\!53$$$$T^{30} -$$$$27\!\cdots\!50$$$$T^{31} +$$$$53\!\cdots\!82$$$$T^{32} -$$$$57\!\cdots\!74$$$$T^{33} -$$$$57\!\cdots\!13$$$$T^{34} +$$$$11\!\cdots\!46$$$$T^{35} +$$$$49\!\cdots\!02$$$$T^{36} -$$$$10\!\cdots\!26$$$$T^{37} -$$$$31\!\cdots\!11$$$$T^{38} +$$$$48\!\cdots\!70$$$$T^{39} +$$$$13\!\cdots\!01$$$$T^{40}$$)($$1 - 570 T - 588011 T^{2} + 304300326 T^{3} + 240048514402 T^{4} - 87664355195346 T^{5} - 72804214951419813 T^{6} + 11704157913872254374 T^{7} +$$$$17\!\cdots\!82$$$$T^{8} +$$$$14\!\cdots\!50$$$$T^{9} -$$$$30\!\cdots\!53$$$$T^{10} -$$$$13\!\cdots\!66$$$$T^{11} +$$$$33\!\cdots\!00$$$$T^{12} +$$$$41\!\cdots\!90$$$$T^{13} +$$$$13\!\cdots\!11$$$$T^{14} -$$$$84\!\cdots\!74$$$$T^{15} -$$$$16\!\cdots\!35$$$$T^{16} +$$$$11\!\cdots\!64$$$$T^{17} +$$$$48\!\cdots\!10$$$$T^{18} -$$$$74\!\cdots\!36$$$$T^{19} -$$$$91\!\cdots\!08$$$$T^{20} -$$$$11\!\cdots\!36$$$$T^{21} +$$$$12\!\cdots\!10$$$$T^{22} +$$$$48\!\cdots\!64$$$$T^{23} -$$$$11\!\cdots\!35$$$$T^{24} -$$$$91\!\cdots\!74$$$$T^{25} +$$$$24\!\cdots\!11$$$$T^{26} +$$$$11\!\cdots\!90$$$$T^{27} +$$$$15\!\cdots\!00$$$$T^{28} -$$$$97\!\cdots\!66$$$$T^{29} -$$$$35\!\cdots\!53$$$$T^{30} +$$$$27\!\cdots\!50$$$$T^{31} +$$$$53\!\cdots\!82$$$$T^{32} +$$$$57\!\cdots\!74$$$$T^{33} -$$$$57\!\cdots\!13$$$$T^{34} -$$$$11\!\cdots\!46$$$$T^{35} +$$$$49\!\cdots\!02$$$$T^{36} +$$$$10\!\cdots\!26$$$$T^{37} -$$$$31\!\cdots\!11$$$$T^{38} -$$$$48\!\cdots\!70$$$$T^{39} +$$$$13\!\cdots\!01$$$$T^{40}$$)($$1 - 858047 T^{2} + 345328988866 T^{4} - 92808687513390621 T^{6} +$$$$20\!\cdots\!94$$$$T^{8} -$$$$41\!\cdots\!61$$$$T^{10} +$$$$77\!\cdots\!88$$$$T^{12} -$$$$13\!\cdots\!69$$$$T^{14} +$$$$22\!\cdots\!17$$$$T^{16} -$$$$35\!\cdots\!82$$$$T^{18} +$$$$55\!\cdots\!24$$$$T^{20} -$$$$91\!\cdots\!82$$$$T^{22} +$$$$15\!\cdots\!17$$$$T^{24} -$$$$23\!\cdots\!69$$$$T^{26} +$$$$35\!\cdots\!88$$$$T^{28} -$$$$48\!\cdots\!61$$$$T^{30} +$$$$62\!\cdots\!94$$$$T^{32} -$$$$73\!\cdots\!21$$$$T^{34} +$$$$70\!\cdots\!66$$$$T^{36} -$$$$45\!\cdots\!47$$$$T^{38} +$$$$13\!\cdots\!01$$$$T^{40}$$)
$13$ ($$1 - 845 T + 371293 T^{2}$$)($$1 - 836 T + 371293 T^{2}$$)($$1 - 244 T + 371293 T^{2}$$)($$1 - 89 T + 371293 T^{2}$$)($$1 + 427 T + 371293 T^{2}$$)($$1 + 775 T + 371293 T^{2}$$)($$1 - 89 T + 371293 T^{2}$$)($$1 - 244 T + 371293 T^{2}$$)($$1 - 836 T + 371293 T^{2}$$)($$1 - 845 T + 371293 T^{2}$$)($$1 + 704 T + 668202 T^{2} + 261390272 T^{3} + 137858491849 T^{4}$$)($$1 + 112 T + 719082 T^{2} + 41584816 T^{3} + 137858491849 T^{4}$$)($$1 - 242 T + 451227 T^{2} - 89852906 T^{3} + 137858491849 T^{4}$$)($$1 + 472 T + 316746 T^{2} + 175250296 T^{3} + 137858491849 T^{4}$$)($$( 1 + 235 T + 371293 T^{2} )^{2}$$)($$( 1 - 329 T + 371293 T^{2} )^{2}$$)($$1 - 208 T + 275178 T^{2} - 77228944 T^{3} + 137858491849 T^{4}$$)($$1 - 208 T + 275178 T^{2} - 77228944 T^{3} + 137858491849 T^{4}$$)($$1 + 472 T + 316746 T^{2} + 175250296 T^{3} + 137858491849 T^{4}$$)($$1 - 242 T + 451227 T^{2} - 89852906 T^{3} + 137858491849 T^{4}$$)($$1 + 112 T + 719082 T^{2} + 41584816 T^{3} + 137858491849 T^{4}$$)($$1 + 704 T + 668202 T^{2} + 261390272 T^{3} + 137858491849 T^{4}$$)($$1 + 669 T + 133338 T^{2} + 105113009 T^{3} + 49507466034 T^{4} + 92227331046981 T^{5} + 51185893014090757 T^{6}$$)($$1 + 669 T + 133338 T^{2} + 105113009 T^{3} + 49507466034 T^{4} + 92227331046981 T^{5} + 51185893014090757 T^{6}$$)($$( 1 - 427 T + 371293 T^{2} )^{2}$$)($$( 1 - 775 T + 371293 T^{2} )^{2}$$)($$( 1 + 629 T + 371293 T^{2} )^{4}$$)($$( 1 + 185 T + 371293 T^{2} )^{4}$$)($$( 1 - 242 T + 165927 T^{2} - 89852906 T^{3} + 137858491849 T^{4} )^{4}$$)($$( 1 - 452 T + 175470 T^{2} - 167824436 T^{3} + 137858491849 T^{4} )^{4}$$)($$( 1 + 510 T + 817827 T^{2} + 322828724 T^{3} + 303653440311 T^{4} + 70307830842990 T^{5} + 51185893014090757 T^{6} )^{4}$$)($$1 - 1106 T + 261241 T^{2} - 242666354 T^{3} + 333396924028 T^{4} - 90100318575722 T^{5} + 36014290269124609 T^{6} - 56611597673584377242 T^{7} +$$$$19\!\cdots\!01$$$$T^{8}$$)($$1 + 744 T + 110316 T^{2} - 5563444 T^{3} - 92859229188 T^{4} - 67995162383184 T^{5} - 18766393745055906 T^{6} - 25246127826739536912 T^{7} -$$$$12\!\cdots\!12$$$$T^{8} -$$$$28\!\cdots\!08$$$$T^{9} +$$$$20\!\cdots\!16$$$$T^{10} +$$$$52\!\cdots\!92$$$$T^{11} +$$$$26\!\cdots\!49$$$$T^{12}$$)($$1 + 182 T - 1009641 T^{2} - 162494414 T^{3} + 553084541681 T^{4} + 66263508549516 T^{5} - 217064082764017418 T^{6} - 12452829446314121656 T^{7} +$$$$75\!\cdots\!98$$$$T^{8} -$$$$46\!\cdots\!08$$$$T^{9} -$$$$29\!\cdots\!82$$$$T^{10} +$$$$33\!\cdots\!12$$$$T^{11} +$$$$10\!\cdots\!81$$$$T^{12} -$$$$11\!\cdots\!02$$$$T^{13} -$$$$26\!\cdots\!09$$$$T^{14} +$$$$17\!\cdots\!74$$$$T^{15} +$$$$36\!\cdots\!01$$$$T^{16}$$)($$1 + 181 T - 1012331 T^{2} + 14482182 T^{3} + 446454243174 T^{4} - 84043375137762 T^{5} - 192479505557683773 T^{6} - 802846347498861897 T^{7} +$$$$98\!\cdots\!51$$$$T^{8} +$$$$77\!\cdots\!72$$$$T^{9} -$$$$41\!\cdots\!24$$$$T^{10} +$$$$28\!\cdots\!96$$$$T^{11} +$$$$13\!\cdots\!99$$$$T^{12} -$$$$41\!\cdots\!29$$$$T^{13} -$$$$36\!\cdots\!73$$$$T^{14} -$$$$59\!\cdots\!66$$$$T^{15} +$$$$11\!\cdots\!26$$$$T^{16} +$$$$14\!\cdots\!74$$$$T^{17} -$$$$36\!\cdots\!31$$$$T^{18} +$$$$24\!\cdots\!33$$$$T^{19} +$$$$49\!\cdots\!49$$$$T^{20}$$)($$1 - 89 T - 2058636 T^{2} + 219178995 T^{3} + 2268011875089 T^{4} - 247134469996752 T^{5} - 1792198711390521660 T^{6} +$$$$16\!\cdots\!80$$$$T^{7} +$$$$11\!\cdots\!60$$$$T^{8} -$$$$77\!\cdots\!20$$$$T^{9} -$$$$60\!\cdots\!88$$$$T^{10} +$$$$23\!\cdots\!36$$$$T^{11} +$$$$27\!\cdots\!94$$$$T^{12} -$$$$33\!\cdots\!42$$$$T^{13} -$$$$10\!\cdots\!88$$$$T^{14} -$$$$12\!\cdots\!06$$$$T^{15} +$$$$38\!\cdots\!06$$$$T^{16} +$$$$12\!\cdots\!52$$$$T^{17} -$$$$11\!\cdots\!88$$$$T^{18} -$$$$54\!\cdots\!60$$$$T^{19} +$$$$29\!\cdots\!40$$$$T^{20} +$$$$16\!\cdots\!60$$$$T^{21} -$$$$64\!\cdots\!60$$$$T^{22} -$$$$33\!\cdots\!36$$$$T^{23} +$$$$11\!\cdots\!61$$$$T^{24} +$$$$40\!\cdots\!15$$$$T^{25} -$$$$14\!\cdots\!36$$$$T^{26} -$$$$22\!\cdots\!77$$$$T^{27} +$$$$94\!\cdots\!49$$$$T^{28}$$)($$1 + 89 T - 502679 T^{2} + 47151622 T^{3} + 82535103458 T^{4} - 71526474077762 T^{5} + 4174495306830045 T^{6} + 31969473411078931545 T^{7} -$$$$49\!\cdots\!67$$$$T^{8} -$$$$31\!\cdots\!60$$$$T^{9} -$$$$11\!\cdots\!64$$$$T^{10} -$$$$29\!\cdots\!76$$$$T^{11} +$$$$33\!\cdots\!06$$$$T^{12} +$$$$18\!\cdots\!02$$$$T^{13} -$$$$13\!\cdots\!26$$$$T^{14} -$$$$38\!\cdots\!56$$$$T^{15} +$$$$33\!\cdots\!84$$$$T^{16} -$$$$14\!\cdots\!08$$$$T^{17} -$$$$18\!\cdots\!74$$$$T^{18} +$$$$95\!\cdots\!14$$$$T^{19} +$$$$64\!\cdots\!06$$$$T^{20} -$$$$20\!\cdots\!68$$$$T^{21} -$$$$30\!\cdots\!36$$$$T^{22} -$$$$30\!\cdots\!20$$$$T^{23} -$$$$18\!\cdots\!67$$$$T^{24} +$$$$42\!\cdots\!85$$$$T^{25} +$$$$20\!\cdots\!05$$$$T^{26} -$$$$13\!\cdots\!34$$$$T^{27} +$$$$56\!\cdots\!58$$$$T^{28} +$$$$12\!\cdots\!46$$$$T^{29} -$$$$47\!\cdots\!71$$$$T^{30} +$$$$31\!\cdots\!73$$$$T^{31} +$$$$13\!\cdots\!01$$$$T^{32}$$)($$1 + 181 T - 1671522 T^{2} - 912229757 T^{3} + 1374598099627 T^{4} + 1236714535145700 T^{5} - 423182486424300708 T^{6} -$$$$94\!\cdots\!32$$$$T^{7} -$$$$20\!\cdots\!60$$$$T^{8} +$$$$38\!\cdots\!60$$$$T^{9} +$$$$31\!\cdots\!72$$$$T^{10} -$$$$34\!\cdots\!44$$$$T^{11} -$$$$17\!\cdots\!95$$$$T^{12} -$$$$68\!\cdots\!51$$$$T^{13} +$$$$47\!\cdots\!34$$$$T^{14} +$$$$51\!\cdots\!71$$$$T^{15} +$$$$36\!\cdots\!59$$$$T^{16} -$$$$19\!\cdots\!44$$$$T^{17} -$$$$10\!\cdots\!80$$$$T^{18} +$$$$29\!\cdots\!56$$$$T^{19} +$$$$51\!\cdots\!36$$$$T^{20} +$$$$10\!\cdots\!08$$$$T^{21} -$$$$13\!\cdots\!20$$$$T^{22} -$$$$97\!\cdots\!08$$$$T^{23} +$$$$69\!\cdots\!59$$$$T^{24} +$$$$36\!\cdots\!03$$$$T^{25} +$$$$12\!\cdots\!66$$$$T^{26} -$$$$66\!\cdots\!07$$$$T^{27} -$$$$63\!\cdots\!95$$$$T^{28} -$$$$46\!\cdots\!92$$$$T^{29} +$$$$15\!\cdots\!28$$$$T^{30} +$$$$71\!\cdots\!20$$$$T^{31} -$$$$14\!\cdots\!60$$$$T^{32} -$$$$23\!\cdots\!76$$$$T^{33} -$$$$40\!\cdots\!92$$$$T^{34} +$$$$43\!\cdots\!00$$$$T^{35} +$$$$17\!\cdots\!27$$$$T^{36} -$$$$44\!\cdots\!01$$$$T^{37} -$$$$30\!\cdots\!78$$$$T^{38} +$$$$12\!\cdots\!17$$$$T^{39} +$$$$24\!\cdots\!01$$$$T^{40}$$)($$1 + 181 T - 1671522 T^{2} - 912229757 T^{3} + 1374598099627 T^{4} + 1236714535145700 T^{5} - 423182486424300708 T^{6} -$$$$94\!\cdots\!32$$$$T^{7} -$$$$20\!\cdots\!60$$$$T^{8} +$$$$38\!\cdots\!60$$$$T^{9} +$$$$31\!\cdots\!72$$$$T^{10} -$$$$34\!\cdots\!44$$$$T^{11} -$$$$17\!\cdots\!95$$$$T^{12} -$$$$68\!\cdots\!51$$$$T^{13} +$$$$47\!\cdots\!34$$$$T^{14} +$$$$51\!\cdots\!71$$$$T^{15} +$$$$36\!\cdots\!59$$$$T^{16} -$$$$19\!\cdots\!44$$$$T^{17} -$$$$10\!\cdots\!80$$$$T^{18} +$$$$29\!\cdots\!56$$$$T^{19} +$$$$51\!\cdots\!36$$$$T^{20} +$$$$10\!\cdots\!08$$$$T^{21} -$$$$13\!\cdots\!20$$$$T^{22} -$$$$97\!\cdots\!08$$$$T^{23} +$$$$69\!\cdots\!59$$$$T^{24} +$$$$36\!\cdots\!03$$$$T^{25} +$$$$12\!\cdots\!66$$$$T^{26} -$$$$66\!\cdots\!07$$$$T^{27} -$$$$63\!\cdots\!95$$$$T^{28} -$$$$46\!\cdots\!92$$$$T^{29} +$$$$15\!\cdots\!28$$$$T^{30} +$$$$71\!\cdots\!20$$$$T^{31} -$$$$14\!\cdots\!60$$$$T^{32} -$$$$23\!\cdots\!76$$$$T^{33} -$$$$40\!\cdots\!92$$$$T^{34} +$$$$43\!\cdots\!00$$$$T^{35} +$$$$17\!\cdots\!27$$$$T^{36} -$$$$44\!\cdots\!01$$$$T^{37} -$$$$30\!\cdots\!78$$$$T^{38} +$$$$12\!\cdots\!17$$$$T^{39} +$$$$24\!\cdots\!01$$$$T^{40}$$)($$( 1 - 181 T - 866207 T^{2} + 679726374 T^{3} + 351261987906 T^{4} - 508015231311558 T^{5} + 69547686157872123 T^{6} +$$$$23\!\cdots\!37$$$$T^{7} -$$$$11\!\cdots\!81$$$$T^{8} -$$$$36\!\cdots\!32$$$$T^{9} +$$$$68\!\cdots\!32$$$$T^{10} -$$$$13\!\cdots\!76$$$$T^{11} -$$$$16\!\cdots\!69$$$$T^{12} +$$$$12\!\cdots\!09$$$$T^{13} +$$$$13\!\cdots\!23$$$$T^{14} -$$$$35\!\cdots\!94$$$$T^{15} +$$$$92\!\cdots\!94$$$$T^{16} +$$$$66\!\cdots\!18$$$$T^{17} -$$$$31\!\cdots\!07$$$$T^{18} -$$$$24\!\cdots\!33$$$$T^{19} +$$$$49\!\cdots\!49$$$$T^{20} )^{2}$$)
$17$ ($$1 + 1692 T + 1419857 T^{2}$$)($$1 - 1080 T + 1419857 T^{2}$$)($$1 + 1576 T + 1419857 T^{2}$$)($$1 + 2088 T + 1419857 T^{2}$$)($$1 + 1419857 T^{2}$$)($$1 + 1419857 T^{2}$$)($$1 - 2088 T + 1419857 T^{2}$$)($$1 - 1576 T + 1419857 T^{2}$$)($$1 + 1080 T + 1419857 T^{2}$$)($$1 - 1692 T + 1419857 T^{2}$$)($$1 + 216 T + 1771810 T^{2} + 306689112 T^{3} + 2015993900449 T^{4}$$)($$1 + 2584 T + 4482338 T^{2} + 3668910488 T^{3} + 2015993900449 T^{4}$$)($$1 + 212 T + 2333810 T^{2} + 301009684 T^{3} + 2015993900449 T^{4}$$)($$1 - 368 T + 2392034 T^{2} - 522507376 T^{3} + 2015993900449 T^{4}$$)($$1 + 2808610 T^{2} + 2015993900449 T^{4}$$)($$1 - 2020286 T^{2} + 2015993900449 T^{4}$$)($$1 - 1944 T + 2456098 T^{2} - 2760202008 T^{3} + 2015993900449 T^{4}$$)($$1 + 1944 T + 2456098 T^{2} + 2760202008 T^{3} + 2015993900449 T^{4}$$)($$1 + 368 T + 2392034 T^{2} + 522507376 T^{3} + 2015993900449 T^{4}$$)($$1 - 212 T + 2333810 T^{2} - 301009684 T^{3} + 2015993900449 T^{4}$$)($$1 - 2584 T + 4482338 T^{2} - 3668910488 T^{3} + 2015993900449 T^{4}$$)($$1 - 216 T + 1771810 T^{2} - 306689112 T^{3} + 2015993900449 T^{4}$$)($$1 - 36 T + 3288099 T^{2} - 74129672 T^{3} + 4668630381843 T^{4} - 72575780416164 T^{5} + 2862423051509815793 T^{6}$$)($$1 + 36 T + 3288099 T^{2} + 74129672 T^{3} + 4668630381843 T^{4} + 72575780416164 T^{5} + 2862423051509815793 T^{6}$$)($$( 1 - 1419857 T^{2} )^{2}$$)($$( 1 - 1419857 T^{2} )^{2}$$)($$( 1 - 2699314 T^{2} + 2015993900449 T^{4} )^{2}$$)($$( 1 - 1424770 T^{2} + 2015993900449 T^{4} )^{2}$$)($$( 1 + 1148908 T^{2} + 3028720445286 T^{4} + 2316191520177059692 T^{6} +$$$$40\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 + 73156 T^{2} - 2139692284218 T^{4} + 147482049781247044 T^{6} +$$$$40\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 - 6655098 T^{2} + 19907859409647 T^{4} - 35423313401247997804 T^{6} +$$$$40\!\cdots\!03$$$$T^{8} -$$$$27\!\cdots\!98$$$$T^{10} +$$$$81\!\cdots\!49$$$$T^{12} )^{2}$$)($$( 1 + 492 T + 991654 T^{2} + 698569644 T^{3} + 2015993900449 T^{4} )^{2}$$)($$( 1 + 1449 T + 3759531 T^{2} + 3184553142 T^{3} + 5337996407067 T^{4} + 2921175161750601 T^{5} + 2862423051509815793 T^{6} )^{2}$$)($$( 1 - 2178 T + 4502417 T^{2} - 6473305458 T^{3} + 7835841277908 T^{4} - 9191168067679506 T^{5} + 9076845209277885233 T^{6} -$$$$62\!\cdots\!54$$$$T^{7} +$$$$40\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 + 1140 T + 4980550 T^{2} + 3443850354 T^{3} + 10068870522169 T^{4} + 5069379208548852 T^{5} + 14296356292995309833 T^{6} +$$$$69\!\cdots\!46$$$$T^{7} +$$$$14\!\cdots\!50$$$$T^{8} +$$$$46\!\cdots\!40$$$$T^{9} +$$$$57\!\cdots\!57$$$$T^{10} )^{2}$$)($$( 1 - 680 T + 5575556 T^{2} - 4650824578 T^{3} + 14317451937038 T^{4} - 15537252897814160 T^{5} + 24941954641724178845 T^{6} -$$$$29\!\cdots\!52$$$$T^{7} +$$$$35\!\cdots\!65$$$$T^{8} -$$$$31\!\cdots\!40$$$$T^{9} +$$$$40\!\cdots\!34$$$$T^{10} -$$$$18\!\cdots\!78$$$$T^{11} +$$$$32\!\cdots\!92$$$$T^{12} -$$$$55\!\cdots\!20$$$$T^{13} +$$$$11\!\cdots\!93$$$$T^{14} )^{2}$$)($$( 1 + 277 T + 4457165 T^{2} + 28004106 T^{3} + 10361936287448 T^{4} - 2191806006139228 T^{5} + 19212285035261150395 T^{6} -$$$$42\!\cdots\!75$$$$T^{7} +$$$$30\!\cdots\!06$$$$T^{8} -$$$$59\!\cdots\!75$$$$T^{9} +$$$$38\!\cdots\!55$$$$T^{10} -$$$$62\!\cdots\!04$$$$T^{11} +$$$$42\!\cdots\!48$$$$T^{12} +$$$$16\!\cdots\!42$$$$T^{13} +$$$$36\!\cdots\!85$$$$T^{14} +$$$$32\!\cdots\!61$$$$T^{15} +$$$$16\!\cdots\!01$$$$T^{16} )^{2}$$)($$1 - 13601803 T^{2} + 94498838889175 T^{4} -$$$$44\!\cdots\!96$$$$T^{6} +$$$$16\!\cdots\!47$$$$T^{8} -$$$$48\!\cdots\!23$$$$T^{10} +$$$$12\!\cdots\!20$$$$T^{12} -$$$$26\!\cdots\!77$$$$T^{14} +$$$$50\!\cdots\!72$$$$T^{16} -$$$$85\!\cdots\!69$$$$T^{18} +$$$$12\!\cdots\!42$$$$T^{20} -$$$$17\!\cdots\!81$$$$T^{22} +$$$$20\!\cdots\!72$$$$T^{24} -$$$$21\!\cdots\!73$$$$T^{26} +$$$$20\!\cdots\!20$$$$T^{28} -$$$$16\!\cdots\!27$$$$T^{30} +$$$$10\!\cdots\!47$$$$T^{32} -$$$$60\!\cdots\!04$$$$T^{34} +$$$$25\!\cdots\!75$$$$T^{36} -$$$$74\!\cdots\!47$$$$T^{38} +$$$$11\!\cdots\!01$$$$T^{40}$$)($$1 - 13601803 T^{2} + 94498838889175 T^{4} -$$$$44\!\cdots\!96$$$$T^{6} +$$$$16\!\cdots\!47$$$$T^{8} -$$$$48\!\cdots\!23$$$$T^{10} +$$$$12\!\cdots\!20$$$$T^{12} -$$$$26\!\cdots\!77$$$$T^{14} +$$$$50\!\cdots\!72$$$$T^{16} -$$$$85\!\cdots\!69$$$$T^{18} +$$$$12\!\cdots\!42$$$$T^{20} -$$$$17\!\cdots\!81$$$$T^{22} +$$$$20\!\cdots\!72$$$$T^{24} -$$$$21\!\cdots\!73$$$$T^{26} +$$$$20\!\cdots\!20$$$$T^{28} -$$$$16\!\cdots\!27$$$$T^{30} +$$$$10\!\cdots\!47$$$$T^{32} -$$$$60\!\cdots\!04$$$$T^{34} +$$$$25\!\cdots\!75$$$$T^{36} -$$$$74\!\cdots\!47$$$$T^{38} +$$$$11\!\cdots\!01$$$$T^{40}$$)($$( 1 - 5722616 T^{2} + 14718983422638 T^{4} - 21774377046715262298 T^{6} +$$$$21\!\cdots\!29$$$$T^{8} -$$$$23\!\cdots\!60$$$$T^{10} +$$$$44\!\cdots\!21$$$$T^{12} -$$$$88\!\cdots\!98$$$$T^{14} +$$$$12\!\cdots\!62$$$$T^{16} -$$$$94\!\cdots\!16$$$$T^{18} +$$$$33\!\cdots\!49$$$$T^{20} )^{2}$$)
$19$ ($$1 - 79 T + 2476099 T^{2}$$)($$1 + 2882 T + 2476099 T^{2}$$)($$1 - 250 T + 2476099 T^{2}$$)($$1 - 2617 T + 2476099 T^{2}$$)($$1 - 1711 T + 2476099 T^{2}$$)($$1 + 3143 T + 2476099 T^{2}$$)($$1 - 2617 T + 2476099 T^{2}$$)($$1 - 250 T + 2476099 T^{2}$$)($$1 + 2882 T + 2476099 T^{2}$$)($$1 - 79 T + 2476099 T^{2}$$)($$1 - 2840 T + 6522450 T^{2} - 7032121160 T^{3} + 6131066257801 T^{4}$$)($$1 + 1924 T + 4172682 T^{2} + 4764014476 T^{3} + 6131066257801 T^{4}$$)($$1 - 62 T + 4757319 T^{2} - 153518138 T^{3} + 6131066257801 T^{4}$$)($$1 - 56 T + 2236818 T^{2} - 138661544 T^{3} + 6131066257801 T^{4}$$)($$( 1 + 1361 T + 2476099 T^{2} )^{2}$$)($$( 1 + 1799 T + 2476099 T^{2} )^{2}$$)($$1 - 632 T + 4932498 T^{2} - 1564894568 T^{3} + 6131066257801 T^{4}$$)($$1 - 632 T + 4932498 T^{2} - 1564894568 T^{3} + 6131066257801 T^{4}$$)($$1 - 56 T + 2236818 T^{2} - 138661544 T^{3} + 6131066257801 T^{4}$$)($$1 - 62 T + 4757319 T^{2} - 153518138 T^{3} + 6131066257801 T^{4}$$)($$1 + 1924 T + 4172682 T^{2} + 4764014476 T^{3} + 6131066257801 T^{4}$$)($$1 - 2840 T + 6522450 T^{2} - 7032121160 T^{3} + 6131066257801 T^{4}$$)($$1 - 747 T + 4321116 T^{2} - 3289385131 T^{3} + 10699511006484 T^{4} - 4579906494577347 T^{5} + 15181127029874798299 T^{6}$$)($$1 - 747 T + 4321116 T^{2} - 3289385131 T^{3} + 10699511006484 T^{4} - 4579906494577347 T^{5} + 15181127029874798299 T^{6}$$)($$( 1 - 1711 T + 2476099 T^{2} )( 1 + 1711 T + 2476099 T^{2} )$$)($$( 1 - 3143 T + 2476099 T^{2} )( 1 + 3143 T + 2476099 T^{2} )$$)($$( 1 - 4808315 T^{2} + 6131066257801 T^{4} )^{2}$$)($$( 1 - 4156523 T^{2} + 6131066257801 T^{4} )^{2}$$)($$( 1 + 851546 T^{2} + 11411884839099 T^{4} + 5220884947565410346 T^{6} +$$$$37\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 + 3982676 T^{2} + 13081249106934 T^{4} + 24418050439353855476 T^{6} +$$$$37\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 - 11752386 T^{2} + 62933833664583 T^{4} -$$$$19\!\cdots\!72$$$$T^{6} +$$$$38\!\cdots\!83$$$$T^{8} -$$$$44\!\cdots\!86$$$$T^{10} +$$$$23\!\cdots\!01$$$$T^{12} )^{2}$$)($$( 1 - 1640 T + 2303382 T^{2} - 4060802360 T^{3} + 6131066257801 T^{4} )^{2}$$)($$( 1 + 1131 T + 5928369 T^{2} + 5953391858 T^{3} + 14679228552531 T^{4} + 6934235937572931 T^{5} + 15181127029874798299 T^{6} )^{2}$$)($$( 1 + 476 T + 5379895 T^{2} + 1785507140 T^{3} + 16120413258280 T^{4} + 4421092443846860 T^{5} + 32984492705012310895 T^{6} +$$$$72\!\cdots\!24$$$$T^{7} +$$$$37\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 - 416 T + 5046258 T^{2} - 6215761044 T^{3} + 20272296121125 T^{4} - 15898268281316088 T^{5} + 50196212153221491375 T^{6} -$$$$38\!\cdots\!44$$$$T^{7} +$$$$76\!\cdots\!42$$$$T^{8} -$$$$15\!\cdots\!16$$$$T^{9} +$$$$93\!\cdots\!99$$$$T^{10} )^{2}$$)($$( 1 + 884 T + 7442692 T^{2} + 897057820 T^{3} + 25796998037726 T^{4} - 13937022580183268 T^{5} + 60547133087281518999 T^{6} -$$$$65\!\cdots\!88$$$$T^{7} +$$$$14\!\cdots\!01$$$$T^{8} -$$$$85\!\cdots\!68$$$$T^{9} +$$$$39\!\cdots\!74$$$$T^{10} +$$$$33\!\cdots\!20$$$$T^{11} +$$$$69\!\cdots\!08$$$$T^{12} +$$$$20\!\cdots\!84$$$$T^{13} +$$$$57\!\cdots\!99$$$$T^{14} )^{2}$$)($$( 1 - 437 T + 12400611 T^{2} + 1289091140 T^{3} + 65043737194094 T^{4} + 47486032667071602 T^{5} +$$$$20\!\cdots\!77$$$$T^{6} +$$$$26\!\cdots\!73$$$$T^{7} +$$$$51\!\cdots\!34$$$$T^{8} +$$$$66\!\cdots\!27$$$$T^{9} +$$$$12\!\cdots\!77$$$$T^{10} +$$$$72\!\cdots\!98$$$$T^{11} +$$$$24\!\cdots\!94$$$$T^{12} +$$$$11\!\cdots\!60$$$$T^{13} +$$$$28\!\cdots\!11$$$$T^{14} -$$$$24\!\cdots\!63$$$$T^{15} +$$$$14\!\cdots\!01$$$$T^{16} )^{2}$$)($$1 - 25799327 T^{2} + 345881026531855 T^{4} -$$$$31\!\cdots\!92$$$$T^{6} +$$$$22\!\cdots\!87$$$$T^{8} -$$$$12\!\cdots\!47$$$$T^{10} +$$$$57\!\cdots\!68$$$$T^{12} -$$$$22\!\cdots\!81$$$$T^{14} +$$$$79\!\cdots\!04$$$$T^{16} -$$$$23\!\cdots\!21$$$$T^{18} +$$$$62\!\cdots\!78$$$$T^{20} -$$$$14\!\cdots\!21$$$$T^{22} +$$$$29\!\cdots\!04$$$$T^{24} -$$$$52\!\cdots\!81$$$$T^{26} +$$$$81\!\cdots\!68$$$$T^{28} -$$$$10\!\cdots\!47$$$$T^{30} +$$$$11\!\cdots\!87$$$$T^{32} -$$$$10\!\cdots\!92$$$$T^{34} +$$$$69\!\cdots\!55$$$$T^{36} -$$$$31\!\cdots\!27$$$$T^{38} +$$$$75\!\cdots\!01$$$$T^{40}$$)($$1 - 25799327 T^{2} + 345881026531855 T^{4} -$$$$31\!\cdots\!92$$$$T^{6} +$$$$22\!\cdots\!87$$$$T^{8} -$$$$12\!\cdots\!47$$$$T^{10} +$$$$57\!\cdots\!68$$$$T^{12} -$$$$22\!\cdots\!81$$$$T^{14} +$$$$79\!\cdots\!04$$$$T^{16} -$$$$23\!\cdots\!21$$$$T^{18} +$$$$62\!\cdots\!78$$$$T^{20} -$$$$14\!\cdots\!21$$$$T^{22} +$$$$29\!\cdots\!04$$$$T^{24} -$$$$52\!\cdots\!81$$$$T^{26} +$$$$81\!\cdots\!68$$$$T^{28} -$$$$10\!\cdots\!47$$$$T^{30} +$$$$11\!\cdots\!87$$$$T^{32} -$$$$10\!\cdots\!92$$$$T^{34} +$$$$69\!\cdots\!55$$$$T^{36} -$$$$31\!\cdots\!27$$$$T^{38} +$$$$75\!\cdots\!01$$$$T^{40}$$)($$( 1 - 11319724 T^{2} + 56857743699894 T^{4} -$$$$16\!\cdots\!50$$$$T^{6} +$$$$28\!\cdots\!49$$$$T^{8} -$$$$51\!\cdots\!60$$$$T^{10} +$$$$17\!\cdots\!49$$$$T^{12} -$$$$60\!\cdots\!50$$$$T^{14} +$$$$13\!\cdots\!94$$$$T^{16} -$$$$15\!\cdots\!24$$$$T^{18} +$$$$86\!\cdots\!01$$$$T^{20} )^{2}$$)
$23$ ($$1 + 564 T + 6436343 T^{2}$$)($$1 + 4386 T + 6436343 T^{2}$$)($$1 + 2830 T + 6436343 T^{2}$$)($$1 - 1752 T + 6436343 T^{2}$$)($$1 + 6436343 T^{2}$$)($$1 + 6436343 T^{2}$$)($$1 + 1752 T + 6436343 T^{2}$$)($$1 - 2830 T + 6436343 T^{2}$$)($$1 - 4386 T + 6436343 T^{2}$$)($$1 - 564 T + 6436343 T^{2}$$)($$1 + 36 T + 12811810 T^{2} + 231708348 T^{3} + 41426511213649 T^{4}$$)($$1 + 4876 T + 17511170 T^{2} + 31383608468 T^{3} + 41426511213649 T^{4}$$)($$1 - 2308 T + 12585662 T^{2} - 14855079644 T^{3} + 41426511213649 T^{4}$$)($$1 - 1028 T + 11210738 T^{2} - 6616560604 T^{3} + 41426511213649 T^{4}$$)($$1 + 7063150 T^{2} + 41426511213649 T^{4}$$)($$1 - 198770 T^{2} + 41426511213649 T^{4}$$)($$1 + 6804 T + 24393154 T^{2} + 43792877772 T^{3} + 41426511213649 T^{4}$$)($$1 - 6804 T + 24393154 T^{2} - 43792877772 T^{3} + 41426511213649 T^{4}$$)($$1 + 1028 T + 11210738 T^{2} + 6616560604 T^{3} + 41426511213649 T^{4}$$)($$1 + 2308 T + 12585662 T^{2} + 14855079644 T^{3} + 41426511213649 T^{4}$$)($$1 - 4876 T + 17511170 T^{2} - 31383608468 T^{3} + 41426511213649 T^{4}$$)($$1 - 36 T + 12811810 T^{2} - 231708348 T^{3} + 41426511213649 T^{4}$$)($$1 + 2940 T - 22251 T^{2} - 22604736248 T^{3} - 143215068093 T^{4} + 121793942968128060 T^{5} +$$$$26\!\cdots\!07$$$$T^{6}$$)($$1 - 2940 T - 22251 T^{2} + 22604736248 T^{3} - 143215068093 T^{4} - 121793942968128060 T^{5} +$$$$26\!\cdots\!07$$$$T^{6}$$)($$( 1 + 6436343 T^{2} )^{2}$$)($$( 1 + 6436343 T^{2} )^{2}$$)($$( 1 - 5474786 T^{2} + 41426511213649 T^{4} )^{2}$$)($$( 1 + 9567886 T^{2} + 41426511213649 T^{4} )^{2}$$)($$( 1 + 1783628 T^{2} + 83416342141446 T^{4} + 73889485342978338572 T^{6} +$$$$17\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 + 4921244 T^{2} + 76188199669350 T^{4} +$$$$20\!\cdots\!56$$$$T^{6} +$$$$17\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 + 22132938 T^{2} + 241939992985791 T^{4} +$$$$17\!\cdots\!16$$$$T^{6} +$$$$10\!\cdots\!59$$$$T^{8} +$$$$37\!\cdots\!38$$$$T^{10} +$$$$71\!\cdots\!49$$$$T^{12} )^{2}$$)($$1 + 5538 T + 10264397 T^{2} + 41714215218 T^{3} + 177540370655268 T^{4} + 268486997118867774 T^{5} +$$$$42\!\cdots\!53$$$$T^{6} +$$$$14\!\cdots\!66$$$$T^{7} +$$$$17\!\cdots\!01$$$$T^{8}$$)($$1 + 3168 T - 11449086 T^{2} - 14347077444 T^{3} + 192790258568754 T^{4} + 140383346504289372 T^{5} -$$$$11\!\cdots\!18$$$$T^{6} +$$$$90\!\cdots\!96$$$$T^{7} +$$$$79\!\cdots\!46$$$$T^{8} -$$$$38\!\cdots\!08$$$$T^{9} -$$$$19\!\cdots\!86$$$$T^{10} +$$$$34\!\cdots\!24$$$$T^{11} +$$$$71\!\cdots\!49$$$$T^{12}$$)($$1 - 8844 T + 29643313 T^{2} - 58247545548 T^{3} + 172348926961837 T^{4} - 574153269020383320 T^{5} +$$$$14\!\cdots\!02$$$$T^{6} -$$$$52\!\cdots\!88$$$$T^{7} +$$$$17\!\cdots\!06$$$$T^{8} -$$$$33\!\cdots\!84$$$$T^{9} +$$$$60\!\cdots\!98$$$$T^{10} -$$$$15\!\cdots\!40$$$$T^{11} +$$$$29\!\cdots\!37$$$$T^{12} -$$$$64\!\cdots\!64$$$$T^{13} +$$$$21\!\cdots\!37$$$$T^{14} -$$$$40\!\cdots\!08$$$$T^{15} +$$$$29\!\cdots\!01$$$$T^{16}$$)($$1 - 399 T - 16077241 T^{2} - 38108825820 T^{3} + 155650662506976 T^{4} + 562944417983120520 T^{5} - 48522958516353490863 T^{6} -$$$$48\!\cdots\!51$$$$T^{7} -$$$$71\!\cdots\!41$$$$T^{8} +$$$$11\!\cdots\!52$$$$T^{9} +$$$$81\!\cdots\!80$$$$T^{10} +$$$$74\!\cdots\!36$$$$T^{11} -$$$$29\!\cdots\!09$$$$T^{12} -$$$$12\!\cdots\!57$$$$T^{13} -$$$$83\!\cdots\!63$$$$T^{14} +$$$$62\!\cdots\!60$$$$T^{15} +$$$$11\!\cdots\!24$$$$T^{16} -$$$$17\!\cdots\!40$$$$T^{17} -$$$$47\!\cdots\!41$$$$T^{18} -$$$$75\!\cdots\!57$$$$T^{19} +$$$$12\!\cdots\!49$$$$T^{20}$$)($$1 - 2503 T - 11606062 T^{2} + 65361494759 T^{3} + 1401913886037 T^{4} - 570601291483651060 T^{5} +$$$$16\!\cdots\!72$$$$T^{6} +$$$$65\!\cdots\!36$$$$T^{7} -$$$$16\!\cdots\!68$$$$T^{8} +$$$$42\!\cdots\!28$$$$T^{9} +$$$$49\!\cdots\!08$$$$T^{10} -$$$$41\!\cdots\!32$$$$T^{11} +$$$$62\!\cdots\!34$$$$T^{12} +$$$$13\!\cdots\!54$$$$T^{13} -$$$$68\!\cdots\!68$$$$T^{14} +$$$$90\!\cdots\!22$$$$T^{15} +$$$$25\!\cdots\!66$$$$T^{16} -$$$$11\!\cdots\!24$$$$T^{17} +$$$$84\!\cdots\!08$$$$T^{18} +$$$$46\!\cdots\!04$$$$T^{19} -$$$$11\!\cdots\!32$$$$T^{20} +$$$$30\!\cdots\!52$$$$T^{21} +$$$$48\!\cdots\!72$$$$T^{22} -$$$$10\!\cdots\!80$$$$T^{23} +$$$$17\!\cdots\!13$$$$T^{24} +$$$$51\!\cdots\!13$$$$T^{25} -$$$$58\!\cdots\!62$$$$T^{26} -$$$$81\!\cdots\!29$$$$T^{27} +$$$$20\!\cdots\!49$$$$T^{28}$$)($$1 - 133 T - 32014591 T^{2} - 33173095682 T^{3} + 531881681603900 T^{4} + 1020363968296714982 T^{5} -$$$$56\!\cdots\!27$$$$T^{6} -$$$$15\!\cdots\!95$$$$T^{7} +$$$$42\!\cdots\!41$$$$T^{8} +$$$$16\!\cdots\!84$$$$T^{9} -$$$$21\!\cdots\!08$$$$T^{10} -$$$$12\!\cdots\!92$$$$T^{11} +$$$$51\!\cdots\!78$$$$T^{12} +$$$$65\!\cdots\!46$$$$T^{13} +$$$$28\!\cdots\!54$$$$T^{14} -$$$$16\!\cdots\!16$$$$T^{15} -$$$$35\!\cdots\!20$$$$T^{16} -$$$$10\!\cdots\!88$$$$T^{17} +$$$$11\!\cdots\!46$$$$T^{18} +$$$$17\!\cdots\!22$$$$T^{19} +$$$$88\!\cdots\!78$$$$T^{20} -$$$$13\!\cdots\!56$$$$T^{21} -$$$$15\!\cdots\!92$$$$T^{22} +$$$$73\!\cdots\!88$$$$T^{23} +$$$$12\!\cdots\!41$$$$T^{24} -$$$$29\!\cdots\!85$$$$T^{25} -$$$$68\!\cdots\!23$$$$T^{26} +$$$$80\!\cdots\!74$$$$T^{27} +$$$$26\!\cdots\!00$$$$T^{28} -$$$$10\!\cdots\!26$$$$T^{29} -$$$$67\!\cdots\!59$$$$T^{30} -$$$$17\!\cdots\!31$$$$T^{31} +$$$$86\!\cdots\!01$$$$T^{32}$$)($$1 + 99 T - 30187910 T^{2} + 11196555597 T^{3} + 417963189251533 T^{4} - 417877890282673452 T^{5} -$$$$37\!\cdots\!98$$$$T^{6} +$$$$70\!\cdots\!06$$$$T^{7} +$$$$27\!\cdots\!24$$$$T^{8} -$$$$81\!\cdots\!50$$$$T^{9} -$$$$14\!\cdots\!54$$$$T^{10} +$$$$71\!\cdots\!20$$$$T^{11} +$$$$35\!\cdots\!43$$$$T^{12} -$$$$48\!\cdots\!87$$$$T^{13} +$$$$26\!\cdots\!02$$$$T^{14} +$$$$26\!\cdots\!31$$$$T^{15} -$$$$42\!\cdots\!45$$$$T^{16} -$$$$11\!\cdots\!84$$$$T^{17} +$$$$38\!\cdots\!28$$$$T^{18} +$$$$28\!\cdots\!20$$$$T^{19} -$$$$27\!\cdots\!60$$$$T^{20} +$$$$18\!\cdots\!60$$$$T^{21} +$$$$15\!\cdots\!72$$$$T^{22} -$$$$31\!\cdots\!88$$$$T^{23} -$$$$73\!\cdots\!45$$$$T^{24} +$$$$29\!\cdots\!33$$$$T^{25} +$$$$19\!\cdots\!98$$$$T^{26} -$$$$22\!\cdots\!09$$$$T^{27} +$$$$10\!\cdots\!43$$$$T^{28} +$$$$13\!\cdots\!60$$$$T^{29} -$$$$17\!\cdots\!46$$$$T^{30} -$$$$63\!\cdots\!50$$$$T^{31} +$$$$13\!\cdots\!24$$$$T^{32} +$$$$23\!\cdots\!58$$$$T^{33} -$$$$79\!\cdots\!02$$$$T^{34} -$$$$56\!\cdots\!64$$$$T^{35} +$$$$36\!\cdots\!33$$$$T^{36} +$$$$62\!\cdots\!71$$$$T^{37} -$$$$10\!\cdots\!90$$$$T^{38} +$$$$22\!\cdots\!93$$$$T^{39} +$$$$14\!\cdots\!01$$$$T^{40}$$)($$1 - 99 T - 30187910 T^{2} - 11196555597 T^{3} + 417963189251533 T^{4} + 417877890282673452 T^{5} -$$$$37\!\cdots\!98$$$$T^{6} -$$$$70\!\cdots\!06$$$$T^{7} +$$$$27\!\cdots\!24$$$$T^{8} +$$$$81\!\cdots\!50$$$$T^{9} -$$$$14\!\cdots\!54$$$$T^{10} -$$$$71\!\cdots\!20$$$$T^{11} +$$$$35\!\cdots\!43$$$$T^{12} +$$$$48\!\cdots\!87$$$$T^{13} +$$$$26\!\cdots\!02$$$$T^{14} -$$$$26\!\cdots\!31$$$$T^{15} -$$$$42\!\cdots\!45$$$$T^{16} +$$$$11\!\cdots\!84$$$$T^{17} +$$$$38\!\cdots\!28$$$$T^{18} -$$$$28\!\cdots\!20$$$$T^{19} -$$$$27\!\cdots\!60$$$$T^{20} -$$$$18\!\cdots\!60$$$$T^{21} +$$$$15\!\cdots\!72$$$$T^{22} +$$$$31\!\cdots\!88$$$$T^{23} -$$$$73\!\cdots\!45$$$$T^{24} -$$$$29\!\cdots\!33$$$$T^{25} +$$$$19\!\cdots\!98$$$$T^{26} +$$$$22\!\cdots\!09$$$$T^{27} +$$$$10\!\cdots\!43$$$$T^{28} -$$$$13\!\cdots\!60$$$$T^{29} -$$$$17\!\cdots\!46$$$$T^{30} +$$$$63\!\cdots\!50$$$$T^{31} +$$$$13\!\cdots\!24$$$$T^{32} -$$$$23\!\cdots\!58$$$$T^{33} -$$$$79\!\cdots\!02$$$$T^{34} +$$$$56\!\cdots\!64$$$$T^{35} +$$$$36\!\cdots\!33$$$$T^{36} -$$$$62\!\cdots\!71$$$$T^{37} -$$$$10\!\cdots\!90$$$$T^{38} -$$$$22\!\cdots\!93$$$$T^{39} +$$$$14\!\cdots\!01$$$$T^{40}$$)($$1 - 27240833 T^{2} + 314910594205141 T^{4} -$$$$19\!\cdots\!10$$$$T^{6} +$$$$83\!\cdots\!02$$$$T^{8} -$$$$47\!\cdots\!14$$$$T^{10} +$$$$44\!\cdots\!47$$$$T^{12} -$$$$33\!\cdots\!47$$$$T^{14} +$$$$17\!\cdots\!31$$$$T^{16} -$$$$49\!\cdots\!24$$$$T^{18} +$$$$10\!\cdots\!52$$$$T^{20} -$$$$20\!\cdots\!76$$$$T^{22} +$$$$29\!\cdots\!31$$$$T^{24} -$$$$24\!\cdots\!03$$$$T^{26} +$$$$13\!\cdots\!47$$$$T^{28} -$$$$58\!\cdots\!86$$$$T^{30} +$$$$42\!\cdots\!02$$$$T^{32} -$$$$41\!\cdots\!90$$$$T^{34} +$$$$27\!\cdots\!41$$$$T^{36} -$$$$97\!\cdots\!17$$$$T^{38} +$$$$14\!\cdots\!01$$$$T^{40}$$)
$29$ ($$1 + 6432 T + 20511149 T^{2}$$)($$1 + 1866 T + 20511149 T^{2}$$)($$1 - 1542 T + 20511149 T^{2}$$)($$1 - 7296 T + 20511149 T^{2}$$)($$1 + 20511149 T^{2}$$)($$1 + 20511149 T^{2}$$)($$1 + 7296 T + 20511149 T^{2}$$)($$1 + 1542 T + 20511149 T^{2}$$)($$1 - 1866 T + 20511149 T^{2}$$)($$1 - 6432 T + 20511149 T^{2}$$)($$1 + 12240 T + 77345110 T^{2} + 251056463760 T^{3} + 420707233300201 T^{4}$$)($$1 - 1548 T + 30965374 T^{2} - 31751258652 T^{3} + 420707233300201 T^{4}$$)($$1 + 2400 T + 18765658 T^{2} + 49226757600 T^{3} + 420707233300201 T^{4}$$)($$1 + 144 T + 27115606 T^{2} + 2953605456 T^{3} + 420707233300201 T^{4}$$)($$1 + 40801114 T^{2} + 420707233300201 T^{4}$$)($$1 + 39031642 T^{2} + 420707233300201 T^{4}$$)($$1 - 11664 T + 70238998 T^{2} - 239242041936 T^{3} + 420707233300201 T^{4}$$)($$1 + 11664 T + 70238998 T^{2} + 239242041936 T^{3} + 420707233300201 T^{4}$$)($$1 - 144 T + 27115606 T^{2} - 2953605456 T^{3} + 420707233300201 T^{4}$$)($$1 - 2400 T + 18765658 T^{2} - 49226757600 T^{3} + 420707233300201 T^{4}$$)($$1 + 1548 T + 30965374 T^{2} + 31751258652 T^{3} + 420707233300201 T^{4}$$)($$1 - 12240 T + 77345110 T^{2} - 251056463760 T^{3} + 420707233300201 T^{4}$$)($$1 - 7104 T + 63855879 T^{2} - 286220157312 T^{3} + 1309757448694971 T^{4} - 2988704185364627904 T^{5} +$$$$86\!\cdots\!49$$$$T^{6}$$)($$1 + 7104 T + 63855879 T^{2} + 286220157312 T^{3} + 1309757448694971 T^{4} + 2988704185364627904 T^{5} +$$$$86\!\cdots\!49$$$$T^{6}$$)($$( 1 - 20511149 T^{2} )^{2}$$)($$( 1 - 20511149 T^{2} )^{2}$$)($$( 1 - 34530202 T^{2} + 420707233300201 T^{4} )^{2}$$)($$( 1 - 4811482 T^{2} + 420707233300201 T^{4} )^{2}$$)($$( 1 + 20982796 T^{2} + 824529099457014 T^{4} +$$$$88\!\cdots\!96$$$$T^{6} +$$$$17\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 - 55243244 T^{2} + 1594398109678134 T^{4} -$$$$23\!\cdots\!44$$$$T^{6} +$$$$17\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 - 96862242 T^{2} + 4352319705812199 T^{4} -$$$$11\!\cdots\!16$$$$T^{6} +$$$$18\!\cdots\!99$$$$T^{8} -$$$$17\!\cdots\!42$$$$T^{10} +$$$$74\!\cdots\!01$$$$T^{12} )^{2}$$)($$1 - 3894 T - 26328655 T^{2} - 1828595142 T^{3} + 989854392537516 T^{4} - 37506587418238158 T^{5} -$$$$11\!\cdots\!55$$$$T^{6} -$$$$33\!\cdots\!06$$$$T^{7} +$$$$17\!\cdots\!01$$$$T^{8}$$)($$1 - 5148 T - 22104564 T^{2} + 185150934252 T^{3} + 244953744801108 T^{4} - 2482021182847364820 T^{5} +$$$$50\!\cdots\!82$$$$T^{6} -$$$$50\!\cdots\!80$$$$T^{7} +$$$$10\!\cdots\!08$$$$T^{8} +$$$$15\!\cdots\!48$$$$T^{9} -$$$$39\!\cdots\!64$$$$T^{10} -$$$$18\!\cdots\!52$$$$T^{11} +$$$$74\!\cdots\!01$$$$T^{12}$$)($$1 + 12018 T + 15291415 T^{2} - 58796364810 T^{3} + 2512265879646529 T^{4} + 12711396421291774644 T^{5} -$$$$20\!\cdots\!74$$$$T^{6} +$$$$10\!\cdots\!36$$$$T^{7} +$$$$21\!\cdots\!82$$$$T^{8} +$$$$21\!\cdots\!64$$$$T^{9} -$$$$86\!\cdots\!74$$$$T^{10} +$$$$10\!\cdots\!56$$$$T^{11} +$$$$44\!\cdots\!29$$$$T^{12} -$$$$21\!\cdots\!90$$$$T^{13} +$$$$11\!\cdots\!15$$$$T^{14} +$$$$18\!\cdots\!82$$$$T^{15} +$$$$31\!\cdots\!01$$$$T^{16}$$)($$1 - 6033 T + 3652157 T^{2} - 31641196734 T^{3} + 283528398607854 T^{4} - 668469168127712358 T^{5} +$$$$64\!\cdots\!39$$$$T^{6} -$$$$82\!\cdots\!55$$$$T^{7} -$$$$90\!\cdots\!17$$$$T^{8} -$$$$14\!\cdots\!60$$$$T^{9} +$$$$58\!\cdots\!16$$$$T^{10} -$$$$29\!\cdots\!40$$$$T^{11} -$$$$38\!\cdots\!17$$$$T^{12} -$$$$71\!\cdots\!95$$$$T^{13} +$$$$11\!\cdots\!39$$$$T^{14} -$$$$24\!\cdots\!42$$$$T^{15} +$$$$21\!\cdots\!54$$$$T^{16} -$$$$48\!\cdots\!66$$$$T^{17} +$$$$11\!\cdots\!57$$$$T^{18} -$$$$38\!\cdots\!17$$$$T^{19} +$$$$13\!\cdots\!01$$$$T^{20}$$)($$1 + 165 T - 98986676 T^{2} + 155484594393 T^{3} + 5359192977256801 T^{4} - 14410108625728925088 T^{5} -$$$$18\!\cdots\!24$$$$T^{6} +$$$$72\!\cdots\!60$$$$T^{7} +$$$$43\!\cdots\!24$$$$T^{8} -$$$$22\!\cdots\!20$$$$T^{9} -$$$$64\!\cdots\!56$$$$T^{10} +$$$$44\!\cdots\!72$$$$T^{11} +$$$$50\!\cdots\!38$$$$T^{12} -$$$$37\!\cdots\!62$$$$T^{13} -$$$$16\!\cdots\!16$$$$T^{14} -$$$$77\!\cdots\!38$$$$T^{15} +$$$$21\!\cdots\!38$$$$T^{16} +$$$$38\!\cdots\!28$$$$T^{17} -$$$$11\!\cdots\!56$$$$T^{18} -$$$$81\!\cdots\!80$$$$T^{19} +$$$$32\!\cdots\!24$$$$T^{20} +$$$$11\!\cdots\!40$$$$T^{21} -$$$$57\!\cdots\!24$$$$T^{22} -$$$$92\!\cdots\!12$$$$T^{23} +$$$$70\!\cdots\!01$$$$T^{24} +$$$$42\!\cdots\!57$$$$T^{25} -$$$$54\!\cdots\!76$$$$T^{26} +$$$$18\!\cdots\!85$$$$T^{27} +$$$$23\!\cdots\!01$$$$T^{28}$$)($$1 - 1089 T - 54506731 T^{2} + 126985273830 T^{3} + 816212017726146 T^{4} - 2783742130150557714 T^{5} +$$$$15\!\cdots\!53$$$$T^{6} -$$$$92\!\cdots\!29$$$$T^{7} -$$$$39\!\cdots\!51$$$$T^{8} +$$$$45\!\cdots\!64$$$$T^{9} -$$$$11\!\cdots\!08$$$$T^{10} -$$$$10\!\cdots\!44$$$$T^{11} +$$$$45\!\cdots\!50$$$$T^{12} -$$$$25\!\cdots\!46$$$$T^{13} +$$$$11\!\cdots\!34$$$$T^{14} +$$$$35\!\cdots\!88$$$$T^{15} -$$$$15\!\cdots\!20$$$$T^{16} +$$$$73\!\cdots\!12$$$$T^{17} +$$$$48\!\cdots\!34$$$$T^{18} -$$$$21\!\cdots\!54$$$$T^{19} +$$$$79\!\cdots\!50$$$$T^{20} -$$$$39\!\cdots\!56$$$$T^{21} -$$$$88\!\cdots\!08$$$$T^{22} +$$$$70\!\cdots\!36$$$$T^{23} -$$$$12\!\cdots\!51$$$$T^{24} -$$$$59\!\cdots\!21$$$$T^{25} +$$$$20\!\cdots\!53$$$$T^{26} -$$$$75\!\cdots\!86$$$$T^{27} +$$$$45\!\cdots\!46$$$$T^{28} +$$$$14\!\cdots\!70$$$$T^{29} -$$$$12\!\cdots\!31$$$$T^{30} -$$$$52\!\cdots\!61$$$$T^{31} +$$$$98\!\cdots\!01$$$$T^{32}$$)($$1 + 13191 T + 193595786 T^{2} + 1788633104169 T^{3} + 16159703356224295 T^{4} +$$$$11\!\cdots\!48$$$$T^{5} +$$$$74\!\cdots\!08$$$$T^{6} +$$$$39\!\cdots\!80$$$$T^{7} +$$$$19\!\cdots\!00$$$$T^{8} +$$$$65\!\cdots\!00$$$$T^{9} +$$$$14\!\cdots\!52$$$$T^{10} -$$$$51\!\cdots\!12$$$$T^{11} -$$$$72\!\cdots\!47$$$$T^{12} -$$$$52\!\cdots\!73$$$$T^{13} -$$$$25\!\cdots\!30$$$$T^{14} -$$$$95\!\cdots\!83$$$$T^{15} -$$$$16\!\cdots\!77$$$$T^{16} +$$$$83\!\cdots\!68$$$$T^{17} +$$$$11\!\cdots\!64$$$$T^{18} +$$$$76\!\cdots\!52$$$$T^{19} +$$$$38\!\cdots\!08$$$$T^{20} +$$$$15\!\cdots\!48$$$$T^{21} +$$$$47\!\cdots\!64$$$$T^{22} +$$$$71\!\cdots\!32$$$$T^{23} -$$$$30\!\cdots\!77$$$$T^{24} -$$$$34\!\cdots\!67$$$$T^{25} -$$$$19\!\cdots\!30$$$$T^{26} -$$$$80\!\cdots\!77$$$$T^{27} -$$$$22\!\cdots\!47$$$$T^{28} -$$$$33\!\cdots\!88$$$$T^{29} +$$$$19\!\cdots\!52$$$$T^{30} +$$$$17\!\cdots\!00$$$$T^{31} +$$$$10\!\cdots\!00$$$$T^{32} +$$$$44\!\cdots\!20$$$$T^{33} +$$$$17\!\cdots\!08$$$$T^{34} +$$$$53\!\cdots\!52$$$$T^{35} +$$$$15\!\cdots\!95$$$$T^{36} +$$$$36\!\cdots\!81$$$$T^{37} +$$$$79\!\cdots\!86$$$$T^{38} +$$$$11\!\cdots\!59$$$$T^{39} +$$$$17\!\cdots\!01$$$$T^{40}$$)($$1 + 13191 T + 193595786 T^{2} + 1788633104169 T^{3} + 16159703356224295 T^{4} +$$$$11\!\cdots\!48$$$$T^{5} +$$$$74\!\cdots\!08$$$$T^{6} +$$$$39\!\cdots\!80$$$$T^{7} +$$$$19\!\cdots\!00$$$$T^{8} +$$$$65\!\cdots\!00$$$$T^{9} +$$$$14\!\cdots\!52$$$$T^{10} -$$$$51\!\cdots\!12$$$$T^{11} -$$$$72\!\cdots\!47$$$$T^{12} -$$$$52\!\cdots\!73$$$$T^{13} -$$$$25\!\cdots\!30$$$$T^{14} -$$$$95\!\cdots\!83$$$$T^{15} -$$$$16\!\cdots\!77$$$$T^{16} +$$$$83\!\cdots\!68$$$$T^{17} +$$$$11\!\cdots\!64$$$$T^{18} +$$$$76\!\cdots\!52$$$$T^{19} +$$$$38\!\cdots\!08$$$$T^{20} +$$$$15\!\cdots\!48$$$$T^{21} +$$$$47\!\cdots\!64$$$$T^{22} +$$$$71\!\cdots\!32$$$$T^{23} -$$$$30\!\cdots\!77$$$$T^{24} -$$$$34\!\cdots\!67$$$$T^{25} -$$$$19\!\cdots\!30$$$$T^{26} -$$$$80\!\cdots\!77$$$$T^{27} -$$$$22\!\cdots\!47$$$$T^{28} -$$$$33\!\cdots\!88$$$$T^{29} +$$$$19\!\cdots\!52$$$$T^{30} +$$$$17\!\cdots\!00$$$$T^{31} +$$$$10\!\cdots\!00$$$$T^{32} +$$$$44\!\cdots\!20$$$$T^{33} +$$$$17\!\cdots\!08$$$$T^{34} +$$$$53\!\cdots\!52$$$$T^{35} +$$$$15\!\cdots\!95$$$$T^{36} +$$$$36\!\cdots\!81$$$$T^{37} +$$$$79\!\cdots\!86$$$$T^{38} +$$$$11\!\cdots\!59$$$$T^{39} +$$$$17\!\cdots\!01$$$$T^{40}$$)($$( 1 + 4719 T + 61433329 T^{2} + 254874803898 T^{3} + 1586928219405102 T^{4} + 4408131010564829886 T^{5} +$$$$22\!\cdots\!51$$$$T^{6} +$$$$38\!\cdots\!41$$$$T^{7} +$$$$32\!\cdots\!87$$$$T^{8} +$$$$11\!\cdots\!68$$$$T^{9} +$$$$66\!\cdots\!96$$$$T^{10} +$$$$23\!\cdots\!32$$$$T^{11} +$$$$13\!\cdots\!87$$$$T^{12} +$$$$33\!\cdots\!09$$$$T^{13} +$$$$40\!\cdots\!51$$$$T^{14} +$$$$16\!\cdots\!14$$$$T^{15} +$$$$11\!\cdots\!02$$$$T^{16} +$$$$38\!\cdots\!02$$$$T^{17} +$$$$19\!\cdots\!29$$$$T^{18} +$$$$30\!\cdots\!31$$$$T^{19} +$$$$13\!\cdots\!01$$$$T^{20} )^{2}$$)
$31$ ($$1 + 4940 T + 28629151 T^{2}$$)($$1 - 3295 T + 28629151 T^{2}$$)($$1 + 5747 T + 28629151 T^{2}$$)($$1 + 2348 T + 28629151 T^{2}$$)($$1 - 10324 T + 28629151 T^{2}$$)($$1 - 10324 T + 28629151 T^{2}$$)($$1 + 2348 T + 28629151 T^{2}$$)($$1 + 5747 T + 28629151 T^{2}$$)($$1 - 3295 T + 28629151 T^{2}$$)($$1 + 4940 T + 28629151 T^{2}$$)($$1 - 1064 T + 47118813 T^{2} - 30461416664 T^{3} + 819628286980801 T^{4}$$)($$1 + 2806 T - 17023629 T^{2} + 80333397706 T^{3} + 819628286980801 T^{4}$$)($$1 - 968 T + 33795918 T^{2} - 27713018168 T^{3} + 819628286980801 T^{4}$$)($$1 - 8228 T + 59283897 T^{2} - 235560654428 T^{3} + 819628286980801 T^{4}$$)($$( 1 + 3500 T + 28629151 T^{2} )^{2}$$)($$( 1 + 5228 T + 28629151 T^{2} )^{2}$$)($$1 + 3328 T + 38238117 T^{2} + 95277814528 T^{3} + 819628286980801 T^{4}$$)($$1 + 3328 T + 38238117 T^{2} + 95277814528 T^{3} + 819628286980801 T^{4}$$)($$1 - 8228 T + 59283897 T^{2} - 235560654428 T^{3} + 819628286980801 T^{4}$$)($$1 - 968 T + 33795918 T^{2} - 27713018168 T^{3} + 819628286980801 T^{4}$$)($$1 + 2806 T - 17023629 T^{2} + 80333397706 T^{3} + 819628286980801 T^{4}$$)($$1 - 1064 T + 47118813 T^{2} - 30461416664 T^{3} + 819628286980801 T^{4}$$)($$1 - 60 T + 73600653 T^{2} + 13297669688 T^{3} + 2107124208435603 T^{4} - 49177697218848060 T^{5} +$$$$23\!\cdots\!51$$$$T^{6}$$)($$1 - 60 T + 73600653 T^{2} + 13297669688 T^{3} + 2107124208435603 T^{4} - 49177697218848060 T^{5} +$$$$23\!\cdots\!51$$$$T^{6}$$)($$( 1 - 10324 T + 28629151 T^{2} )( 1 + 10324 T + 28629151 T^{2} )$$)($$( 1 - 10324 T + 28629151 T^{2} )( 1 + 10324 T + 28629151 T^{2} )$$)($$( 1 - 34702610 T^{2} + 819628286980801 T^{4} )^{2}$$)($$( 1 - 57258194 T^{2} + 819628286980801 T^{4} )^{2}$$)($$( 1 - 81872740 T^{2} + 3250417137092934 T^{4} -$$$$67\!\cdots\!40$$$$T^{6} +$$$$67\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 - 1826542 T^{2} + 728956686597891 T^{4} -$$$$14\!\cdots\!42$$$$T^{6} +$$$$67\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 - 88016289 T^{2} + 4941557716662798 T^{4} -$$$$16\!\cdots\!53$$$$T^{6} +$$$$40\!\cdots\!98$$$$T^{8} -$$$$59\!\cdots\!89$$$$T^{10} +$$$$55\!\cdots\!01$$$$T^{12} )^{2}$$)($$1 + 4718 T + 308941 T^{2} - 166581818242 T^{3} - 975071466725036 T^{4} - 4769096028304772542 T^{5} +$$$$25\!\cdots\!41$$$$T^{6} +$$$$11\!\cdots\!18$$$$T^{7} +$$$$67\!\cdots\!01$$$$T^{8}$$)($$1 - 8610 T - 10689342 T^{2} + 137042221612 T^{3} + 1032348577619862 T^{4} - 2025683261171583642 T^{5} -$$$$31\!\cdots\!06$$$$T^{6} -$$$$57\!\cdots\!42$$$$T^{7} +$$$$84\!\cdots\!62$$$$T^{8} +$$$$32\!\cdots\!12$$$$T^{9} -$$$$71\!\cdots\!42$$$$T^{10} -$$$$16\!\cdots\!10$$$$T^{11} +$$$$55\!\cdots\!01$$$$T^{12}$$)($$1 + 1132 T - 60658635 T^{2} - 62431167700 T^{3} + 1166392900733297 T^{4} + 126919079777751576 T^{5} -$$$$56\!\cdots\!38$$$$T^{6} +$$$$20\!\cdots\!72$$$$T^{7} +$$$$28\!\cdots\!06$$$$T^{8} +$$$$60\!\cdots\!72$$$$T^{9} -$$$$46\!\cdots\!38$$$$T^{10} +$$$$29\!\cdots\!76$$$$T^{11} +$$$$78\!\cdots\!97$$$$T^{12} -$$$$12\!\cdots\!00$$$$T^{13} -$$$$33\!\cdots\!35$$$$T^{14} +$$$$17\!\cdots\!32$$$$T^{15} +$$$$45\!\cdots\!01$$$$T^{16}$$)($$1 + 2759 T - 54902477 T^{2} + 189444651072 T^{3} + 2052158291804100 T^{4} - 13274031992302596720 T^{5} -$$$$32\!\cdots\!47$$$$T^{6} +$$$$42\!\cdots\!39$$$$T^{7} -$$$$13\!\cdots\!49$$$$T^{8} -$$$$36\!\cdots\!48$$$$T^{9} +$$$$63\!\cdots\!24$$$$T^{10} -$$$$10\!\cdots\!48$$$$T^{11} -$$$$11\!\cdots\!49$$$$T^{12} +$$$$99\!\cdots\!89$$$$T^{13} -$$$$21\!\cdots\!47$$$$T^{14} -$$$$25\!\cdots\!20$$$$T^{15} +$$$$11\!\cdots\!00$$$$T^{16} +$$$$29\!\cdots\!72$$$$T^{17} -$$$$24\!\cdots\!77$$$$T^{18} +$$$$35\!\cdots\!09$$$$T^{19} +$$$$36\!\cdots\!01$$$$T^{20}$$)($$1 + 5143 T - 109681746 T^{2} - 315878935347 T^{3} + 7000666428159981 T^{4} + 4942120298051414760 T^{5} -$$$$34\!\cdots\!12$$$$T^{6} -$$$$60\!\cdots\!20$$$$T^{7} +$$$$13\!\cdots\!84$$$$T^{8} +$$$$51\!\cdots\!84$$$$T^{9} -$$$$48\!\cdots\!52$$$$T^{10} -$$$$16\!\cdots\!28$$$$T^{11} +$$$$16\!\cdots\!90$$$$T^{12} +$$$$19\!\cdots\!30$$$$T^{13} -$$$$52\!\cdots\!92$$$$T^{14} +$$$$54\!\cdots\!30$$$$T^{15} +$$$$13\!\cdots\!90$$$$T^{16} -$$$$39\!\cdots\!28$$$$T^{17} -$$$$32\!\cdots\!52$$$$T^{18} +$$$$98\!\cdots\!84$$$$T^{19} +$$$$74\!\cdots\!84$$$$T^{20} -$$$$94\!\cdots\!20$$$$T^{21} -$$$$15\!\cdots\!12$$$$T^{22} +$$$$63\!\cdots\!60$$$$T^{23} +$$$$25\!\cdots\!81$$$$T^{24} -$$$$33\!\cdots\!97$$$$T^{25} -$$$$33\!\cdots\!46$$$$T^{26} +$$$$44\!\cdots\!93$$$$T^{27} +$$$$24\!\cdots\!01$$$$T^{28}$$)($$1 - 3517 T - 115326029 T^{2} + 863095735936 T^{3} + 5493586170208052 T^{4} - 74258762006207563328 T^{5} -$$$$68\!\cdots\!97$$$$T^{6} +$$$$36\!\cdots\!17$$$$T^{7} -$$$$60\!\cdots\!31$$$$T^{8} -$$$$13\!\cdots\!68$$$$T^{9} +$$$$46\!\cdots\!88$$$$T^{10} +$$$$38\!\cdots\!04$$$$T^{11} -$$$$22\!\cdots\!10$$$$T^{12} -$$$$90\!\cdots\!98$$$$T^{13} +$$$$91\!\cdots\!30$$$$T^{14} +$$$$10\!\cdots\!20$$$$T^{15} -$$$$29\!\cdots\!76$$$$T^{16} +$$$$30\!\cdots\!20$$$$T^{17} +$$$$75\!\cdots\!30$$$$T^{18} -$$$$21\!\cdots\!98$$$$T^{19} -$$$$15\!\cdots\!10$$$$T^{20} +$$$$73\!\cdots\!04$$$$T^{21} +$$$$25\!\cdots\!88$$$$T^{22} -$$$$20\!\cdots\!68$$$$T^{23} -$$$$27\!\cdots\!31$$$$T^{24} +$$$$47\!\cdots\!67$$$$T^{25} -$$$$25\!\cdots\!97$$$$T^{26} -$$$$78\!\cdots\!28$$$$T^{27} +$$$$16\!\cdots\!52$$$$T^{28} +$$$$74\!\cdots\!36$$$$T^{29} -$$$$28\!\cdots\!29$$$$T^{30} -$$$$25\!\cdots\!67$$$$T^{31} +$$$$20\!\cdots\!01$$$$T^{32}$$)($$1 + 6651 T + 174763852 T^{2} + 1064283608835 T^{3} + 15019405876447915 T^{4} + 88385296847256736524 T^{5} +$$$$85\!\cdots\!04$$$$T^{6} +$$$$49\!\cdots\!16$$$$T^{7} +$$$$36\!\cdots\!40$$$$T^{8} +$$$$20\!\cdots\!88$$$$T^{9} +$$$$12\!\cdots\!12$$$$T^{10} +$$$$70\!\cdots\!48$$$$T^{11} +$$$$37\!\cdots\!89$$$$T^{12} +$$$$21\!\cdots\!83$$$$T^{13} +$$$$11\!\cdots\!80$$$$T^{14} +$$$$67\!\cdots\!79$$$$T^{15} +$$$$38\!\cdots\!27$$$$T^{16} +$$$$21\!\cdots\!48$$$$T^{17} +$$$$13\!\cdots\!80$$$$T^{18} +$$$$68\!\cdots\!88$$$$T^{19} +$$$$40\!\cdots\!24$$$$T^{20} +$$$$19\!\cdots\!88$$$$T^{21} +$$$$10\!\cdots\!80$$$$T^{22} +$$$$51\!\cdots\!48$$$$T^{23} +$$$$26\!\cdots\!27$$$$T^{24} +$$$$12\!\cdots\!29$$$$T^{25} +$$$$63\!\cdots\!80$$$$T^{26} +$$$$34\!\cdots\!33$$$$T^{27} +$$$$16\!\cdots\!89$$$$T^{28} +$$$$91\!\cdots\!48$$$$T^{29} +$$$$45\!\cdots\!12$$$$T^{30} +$$$$22\!\cdots\!88$$$$T^{31} +$$$$10\!\cdots\!40$$$$T^{32} +$$$$42\!\cdots\!16$$$$T^{33} +$$$$21\!\cdots\!04$$$$T^{34} +$$$$62\!\cdots\!24$$$$T^{35} +$$$$30\!\cdots\!15$$$$T^{36} +$$$$62\!\cdots\!85$$$$T^{37} +$$$$29\!\cdots\!52$$$$T^{38} +$$$$31\!\cdots\!01$$$$T^{39} +$$$$13\!\cdots\!01$$$$T^{40}$$)($$1 - 6651 T + 174763852 T^{2} - 1064283608835 T^{3} + 15019405876447915 T^{4} - 88385296847256736524 T^{5} +$$$$85\!\cdots\!04$$$$T^{6} -$$$$49\!\cdots\!16$$$$T^{7} +$$$$36\!\cdots\!40$$$$T^{8} -$$$$20\!\cdots\!88$$$$T^{9} +$$$$12\!\cdots\!12$$$$T^{10} -$$$$70\!\cdots\!48$$$$T^{11} +$$$$37\!\cdots\!89$$$$T^{12} -$$$$21\!\cdots\!83$$$$T^{13} +$$$$11\!\cdots\!80$$$$T^{14} -$$$$67\!\cdots\!79$$$$T^{15} +$$$$38\!\cdots\!27$$$$T^{16} -$$$$21\!\cdots\!48$$$$T^{17} +$$$$13\!\cdots\!80$$$$T^{18} -$$$$68\!\cdots\!88$$$$T^{19} +$$$$40\!\cdots\!24$$$$T^{20} -$$$$19\!\cdots\!88$$$$T^{21} +$$$$10\!\cdots\!80$$$$T^{22} -$$$$51\!\cdots\!48$$$$T^{23} +$$$$26\!\cdots\!27$$$$T^{24} -$$$$12\!\cdots\!29$$$$T^{25} +$$$$63\!\cdots\!80$$$$T^{26} -$$$$34\!\cdots\!33$$$$T^{27} +$$$$16\!\cdots\!89$$$$T^{28} -$$$$91\!\cdots\!48$$$$T^{29} +$$$$45\!\cdots\!12$$$$T^{30} -$$$$22\!\cdots\!88$$$$T^{31} +$$$$10\!\cdots\!40$$$$T^{32} -$$$$42\!\cdots\!16$$$$T^{33} +$$$$21\!\cdots\!04$$$$T^{34} -$$$$62\!\cdots\!24$$$$T^{35} +$$$$30\!\cdots\!15$$$$T^{36} -$$$$62\!\cdots\!85$$$$T^{37} +$$$$29\!\cdots\!52$$$$T^{38} -$$$$31\!\cdots\!01$$$$T^{39} +$$$$13\!\cdots\!01$$$$T^{40}$$)($$1 + 140937775 T^{2} + 9508109935161901 T^{4} +$$$$40\!\cdots\!18$$$$T^{6} +$$$$12\!\cdots\!02$$$$T^{8} +$$$$29\!\cdots\!74$$$$T^{10} +$$$$56\!\cdots\!03$$$$T^{12} +$$$$85\!\cdots\!05$$$$T^{14} +$$$$56\!\cdots\!11$$$$T^{16} -$$$$33\!\cdots\!24$$$$T^{18} -$$$$16\!\cdots\!56$$$$T^{20} -$$$$27\!\cdots\!24$$$$T^{22} +$$$$37\!\cdots\!11$$$$T^{24} +$$$$47\!\cdots\!05$$$$T^{26} +$$$$25\!\cdots\!03$$$$T^{28} +$$$$11\!\cdots\!74$$$$T^{30} +$$$$38\!\cdots\!02$$$$T^{32} +$$$$10\!\cdots\!18$$$$T^{34} +$$$$19\!\cdots\!01$$$$T^{36} +$$$$23\!\cdots\!75$$$$T^{38} +$$$$13\!\cdots\!01$$$$T^{40}$$)
$37$ ($$1 + 3805 T + 69343957 T^{2}$$)($$1 + 3958 T + 69343957 T^{2}$$)($$1 - 10794 T + 69343957 T^{2}$$)($$1 + 4993 T + 69343957 T^{2}$$)($$1 + 6661 T + 69343957 T^{2}$$)($$1 + 9889 T + 69343957 T^{2}$$)($$1 + 4993 T + 69343957 T^{2}$$)($$1 - 10794 T + 69343957 T^{2}$$)($$1 + 3958 T + 69343957 T^{2}$$)($$1 + 3805 T + 69343957 T^{2}$$)($$1 - 9004 T + 114341118 T^{2} - 624372988828 T^{3} + 4808584372417849 T^{4}$$)($$1 - 4428 T + 63003710 T^{2} - 307055041596 T^{3} + 4808584372417849 T^{4}$$)($$1 + 8178 T + 40241675 T^{2} + 567094880346 T^{3} + 4808584372417849 T^{4}$$)($$1 + 14076 T + 173654894 T^{2} + 976085538732 T^{3} + 4808584372417849 T^{4}$$)($$( 1 - 13115 T + 69343957 T^{2} )^{2}$$)($$( 1 - 8783 T + 69343957 T^{2} )^{2}$$)($$1 + 9956 T + 151512798 T^{2} + 690388435892 T^{3} + 4808584372417849 T^{4}$$)($$1 + 9956 T + 151512798 T^{2} + 690388435892 T^{3} + 4808584372417849 T^{4}$$)($$1 + 14076 T + 173654894 T^{2} + 976085538732 T^{3} + 4808584372417849 T^{4}$$)($$1 + 8178 T + 40241675 T^{2} + 567094880346 T^{3} + 4808584372417849 T^{4}$$)($$1 - 4428 T + 63003710 T^{2} - 307055041596 T^{3} + 4808584372417849 T^{4}$$)($$1 - 9004 T + 114341118 T^{2} - 624372988828 T^{3} + 4808584372417849 T^{4}$$)($$1 + 411 T + 167043954 T^{2} + 10421881671 T^{3} + 11583488763285978 T^{4} + 1976328177063735939 T^{5} +$$$$33\!\cdots\!93$$$$T^{6}$$)($$1 + 411 T + 167043954 T^{2} + 10421881671 T^{3} + 11583488763285978 T^{4} + 1976328177063735939 T^{5} +$$$$33\!\cdots\!93$$$$T^{6}$$)($$( 1 + 6661 T + 69343957 T^{2} )^{2}$$)($$( 1 + 9889 T + 69343957 T^{2} )^{2}$$)($$( 1 - 8363 T + 69343957 T^{2} )^{4}$$)($$( 1 + 1153 T + 69343957 T^{2} )^{4}$$)($$( 1 - 6442 T + 113088063 T^{2} - 446713770994 T^{3} + 4808584372417849 T^{4} )^{4}$$)($$( 1 - 1624 T + 123892458 T^{2} - 112614586168 T^{3} + 4808584372417849 T^{4} )^{4}$$)($$( 1 - 4560 T + 113727327 T^{2} - 800084721440 T^{3} + 7886302873212939 T^{4} - 21927144738225391440 T^{5} +$$$$33\!\cdots\!93$$$$T^{6} )^{4}$$)($$( 1 + 4796 T - 2933298 T^{2} + 332573617772 T^{3} + 4808584372417849 T^{4} )^{2}$$)($$( 1 - 19968 T + 327446979 T^{2} - 2957339330768 T^{3} + 22706469231555903 T^{4} - 96017812748439608832 T^{5} +$$$$33\!\cdots\!93$$$$T^{6} )^{2}$$)($$( 1 + 7588 T + 181007992 T^{2} + 1702118220604 T^{3} + 15462039197985406 T^{4} +$$$$11\!\cdots\!28$$$$T^{5} +$$$$87\!\cdots\!08$$$$T^{6} +$$$$25\!\cdots\!84$$$$T^{7} +$$$$23\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 + 7586 T + 201201093 T^{2} + 803146672896 T^{3} + 19241810738464926 T^{4} + 60351714230064941916 T^{5} +$$$$13\!\cdots\!82$$$$T^{6} +$$$$38\!\cdots\!04$$$$T^{7} +$$$$67\!\cdots\!49$$$$T^{8} +$$$$17\!\cdots\!86$$$$T^{9} +$$$$16\!\cdots\!57$$$$T^{10} )^{2}$$)($$( 1 + 9942 T + 332201371 T^{2} + 2693330117316 T^{3} + 50133814193692869 T^{4} +$$$$32\!\cdots\!94$$$$T^{5} +$$$$47\!\cdots\!35$$$$T^{6} +$$$$26\!\cdots\!44$$$$T^{7} +$$$$33\!\cdots\!95$$$$T^{8} +$$$$15\!\cdots\!06$$$$T^{9} +$$$$16\!\cdots\!17$$$$T^{10} +$$$$62\!\cdots\!16$$$$T^{11} +$$$$53\!\cdots\!47$$$$T^{12} +$$$$11\!\cdots\!58$$$$T^{13} +$$$$77\!\cdots\!93$$$$T^{14} )^{2}$$)($$( 1 - 9942 T + 392275880 T^{2} - 2850674667090 T^{3} + 67740517235106316 T^{4} -$$$$36\!\cdots\!18$$$$T^{5} +$$$$71\!\cdots\!20$$$$T^{6} -$$$$30\!\cdots\!02$$$$T^{7} +$$$$56\!\cdots\!54$$$$T^{8} -$$$$21\!\cdots\!14$$$$T^{9} +$$$$34\!\cdots\!80$$$$T^{10} -$$$$12\!\cdots\!74$$$$T^{11} +$$$$15\!\cdots\!16$$$$T^{12} -$$$$45\!\cdots\!30$$$$T^{13} +$$$$43\!\cdots\!20$$$$T^{14} -$$$$76\!\cdots\!06$$$$T^{15} +$$$$53\!\cdots\!01$$$$T^{16} )^{2}$$)($$( 1 + 2428 T + 391611502 T^{2} + 1421991093324 T^{3} + 76512779052940245 T^{4} +$$$$35\!\cdots\!72$$$$T^{5} +$$$$10\!\cdots\!28$$$$T^{6} +$$$$51\!\cdots\!40$$$$T^{7} +$$$$99\!\cdots\!62$$$$T^{8} +$$$$50\!\cdots\!04$$$$T^{9} +$$$$77\!\cdots\!88$$$$T^{10} +$$$$35\!\cdots\!28$$$$T^{11} +$$$$47\!\cdots\!38$$$$T^{12} +$$$$17\!\cdots\!20$$$$T^{13} +$$$$23\!\cdots\!28$$$$T^{14} +$$$$56\!\cdots\!04$$$$T^{15} +$$$$85\!\cdots\!05$$$$T^{16} +$$$$10\!\cdots\!32$$$$T^{17} +$$$$20\!\cdots\!02$$$$T^{18} +$$$$90\!\cdots\!96$$$$T^{19} +$$$$25\!\cdots\!49$$$$T^{20} )^{2}$$)($$( 1 + 2428 T + 391611502 T^{2} + 1421991093324 T^{3} + 76512779052940245 T^{4} +$$$$35\!\cdots\!72$$$$T^{5} +$$$$10\!\cdots\!28$$$$T^{6} +$$$$51\!\cdots\!40$$$$T^{7} +$$$$99\!\cdots\!62$$$$T^{8} +$$$$50\!\cdots\!04$$$$T^{9} +$$$$77\!\cdots\!88$$$$T^{10} +$$$$35\!\cdots\!28$$$$T^{11} +$$$$47\!\cdots\!38$$$$T^{12} +$$$$17\!\cdots\!20$$$$T^{13} +$$$$23\!\cdots\!28$$$$T^{14} +$$$$56\!\cdots\!04$$$$T^{15} +$$$$85\!\cdots\!05$$$$T^{16} +$$$$10\!\cdots\!32$$$$T^{17} +$$$$20\!\cdots\!02$$$$T^{18} +$$$$90\!\cdots\!96$$$$T^{19} +$$$$25\!\cdots\!49$$$$T^{20} )^{2}$$)($$( 1 - 2428 T + 142796865 T^{2} - 759256754544 T^{3} + 15512432920991538 T^{4} - 60301259841845488488 T^{5} +$$$$10\!\cdots\!66$$$$T^{6} -$$$$36\!\cdots\!56$$$$T^{7} +$$$$47\!\cdots\!45$$$$T^{8} -$$$$56\!\cdots\!28$$$$T^{9} +$$$$16\!\cdots\!57$$$$T^{10} )^{4}$$)
$41$ ($$1 - 12480 T + 115856201 T^{2}$$)($$1 - 20586 T + 115856201 T^{2}$$)($$1 - 10194 T + 115856201 T^{2}$$)($$1 - 6528 T + 115856201 T^{2}$$)($$1 + 115856201 T^{2}$$)($$1 + 115856201 T^{2}$$)($$1 + 6528 T + 115856201 T^{2}$$)($$1 + 10194 T + 115856201 T^{2}$$)($$1 + 20586 T + 115856201 T^{2}$$)($$1 + 12480 T + 115856201 T^{2}$$)($$1 + 5688 T + 76219870 T^{2} + 658990071288 T^{3} + 13422659310152401 T^{4}$$)($$1 - 5652 T + 232878838 T^{2} - 654819248052 T^{3} + 13422659310152401 T^{4}$$)($$1 + 19200 T + 245536402 T^{2} + 2224439059200 T^{3} + 13422659310152401 T^{4}$$)($$1 - 6696 T + 214924702 T^{2} - 775773121896 T^{3} + 13422659310152401 T^{4}$$)($$1 + 143238802 T^{2} + 13422659310152401 T^{4}$$)($$1 - 9156974 T^{2} + 13422659310152401 T^{4}$$)($$1 - 13608 T + 266834974 T^{2} - 1576571183208 T^{3} + 13422659310152401 T^{4}$$)($$1 + 13608 T + 266834974 T^{2} + 1576571183208 T^{3} + 13422659310152401 T^{4}$$)($$1 + 6696 T + 214924702 T^{2} + 775773121896 T^{3} + 13422659310152401 T^{4}$$)($$1 - 19200 T + 245536402 T^{2} - 2224439059200 T^{3} + 13422659310152401 T^{4}$$)($$1 + 5652 T + 232878838 T^{2} + 654819248052 T^{3} + 13422659310152401 T^{4}$$)($$1 - 5688 T + 76219870 T^{2} - 658990071288 T^{3} + 13422659310152401 T^{4}$$)($$1 - 29184 T + 618297819 T^{2} - 7551592498176 T^{3} + 71633636395925619 T^{4} -$$$$39\!\cdots\!84$$$$T^{5} +$$$$15\!\cdots\!01$$$$T^{6}$$)($$1 + 29184 T + 618297819 T^{2} + 7551592498176 T^{3} + 71633636395925619 T^{4} +$$$$39\!\cdots\!84$$$$T^{5} +$$$$15\!\cdots\!01$$$$T^{6}$$)($$( 1 - 115856201 T^{2} )^{2}$$)($$( 1 - 115856201 T^{2} )^{2}$$)($$( 1 - 207249106 T^{2} + 13422659310152401 T^{4} )^{2}$$)($$( 1 - 217435666 T^{2} + 13422659310152401 T^{4} )^{2}$$)($$( 1 - 266209892 T^{2} + 37045040385052518 T^{4} -$$$$35\!\cdots\!92$$$$T^{6} +$$$$18\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 - 282591332 T^{2} + 38636469438991206 T^{4} -$$$$37\!\cdots\!32$$$$T^{6} +$$$$18\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 - 268887990 T^{2} + 49833288693708351 T^{4} -$$$$73\!\cdots\!24$$$$T^{6} +$$$$66\!\cdots\!51$$$$T^{8} -$$$$48\!\cdots\!90$$$$T^{10} +$$$$24\!\cdots\!01$$$$T^{12} )^{2}$$)($$1 + 15354 T - 54861079 T^{2} + 904258368522 T^{3} + 43716860789439108 T^{4} +$$$$10\!\cdots\!22$$$$T^{5} -$$$$73\!\cdots\!79$$$$T^{6} +$$$$23\!\cdots\!54$$$$T^{7} +$$$$18\!\cdots\!01$$$$T^{8}$$)($$1 + 5049 T - 49911369 T^{2} + 2355608603160 T^{3} + 1935356544736665 T^{4} - 94902326907305939361 T^{5} +$$$$30\!\cdots\!26$$$$T^{6} -$$$$10\!\cdots\!61$$$$T^{7} +$$$$25\!\cdots\!65$$$$T^{8} +$$$$36\!\cdots\!60$$$$T^{9} -$$$$89\!\cdots\!69$$$$T^{10} +$$$$10\!\cdots\!49$$$$T^{11} +$$$$24\!\cdots\!01$$$$T^{12}$$)($$1 + 1248 T - 412882754 T^{2} - 256860139200 T^{3} + 101750473497083809 T^{4} + 31706402029277721984 T^{5} -$$$$17\!\cdots\!98$$$$T^{6} -$$$$13\!\cdots\!52$$$$T^{7} +$$$$23\!\cdots\!00$$$$T^{8} -$$$$15\!\cdots\!52$$$$T^{9} -$$$$23\!\cdots\!98$$$$T^{10} +$$$$49\!\cdots\!84$$$$T^{11} +$$$$18\!\cdots\!09$$$$T^{12} -$$$$53\!\cdots\!00$$$$T^{13} -$$$$99\!\cdots\!54$$$$T^{14} +$$$$34\!\cdots\!48$$$$T^{15} +$$$$32\!\cdots\!01$$$$T^{16}$$)($$1 - 18435 T - 117679042 T^{2} + 4344492069675 T^{3} - 505249106564622 T^{4} -$$$$52\!\cdots\!97$$$$T^{5} +$$$$16\!\cdots\!40$$$$T^{6} +$$$$39\!\cdots\!43$$$$T^{7} -$$$$31\!\cdots\!03$$$$T^{8} -$$$$10\!\cdots\!42$$$$T^{9} +$$$$29\!\cdots\!40$$$$T^{10} -$$$$11\!\cdots\!42$$$$T^{11} -$$$$41\!\cdots\!03$$$$T^{12} +$$$$62\!\cdots\!43$$$$T^{13} +$$$$30\!\cdots\!40$$$$T^{14} -$$$$10\!\cdots\!97$$$$T^{15} -$$$$12\!\cdots\!22$$$$T^{16} +$$$$12\!\cdots\!75$$$$T^{17} -$$$$38\!\cdots\!42$$$$T^{18} -$$$$69\!\cdots\!35$$$$T^{19} +$$$$43\!\cdots\!01$$$$T^{20}$$)($$1 - 12273 T - 357178727 T^{2} + 1235021514918 T^{3} + 100489810504965844 T^{4} +$$$$23\!\cdots\!88$$$$T^{5} -$$$$15\!\cdots\!23$$$$T^{6} -$$$$93\!\cdots\!83$$$$T^{7} +$$$$13\!\cdots\!56$$$$T^{8} +$$$$12\!\cdots\!51$$$$T^{9} -$$$$10\!\cdots\!21$$$$T^{10} -$$$$47\!\cdots\!72$$$$T^{11} +$$$$13\!\cdots\!15$$$$T^{12} -$$$$15\!\cdots\!01$$$$T^{13} -$$$$20\!\cdots\!10$$$$T^{14} -$$$$18\!\cdots\!01$$$$T^{15} +$$$$18\!\cdots\!15$$$$T^{16} -$$$$73\!\cdots\!72$$$$T^{17} -$$$$18\!\cdots\!21$$$$T^{18} +$$$$25\!\cdots\!51$$$$T^{19} +$$$$32\!\cdots\!56$$$$T^{20} -$$$$26\!\cdots\!83$$$$T^{21} -$$$$50\!\cdots\!23$$$$T^{22} +$$$$88\!\cdots\!88$$$$T^{23} +$$$$43\!\cdots\!44$$$$T^{24} +$$$$62\!\cdots\!18$$$$T^{25} -$$$$20\!\cdots\!27$$$$T^{26} -$$$$83\!\cdots\!73$$$$T^{27} +$$$$78\!\cdots\!01$$$$T^{28}$$)($$1 + 11958 T - 317542966 T^{2} - 2880044533908 T^{3} + 50829316389696744 T^{4} +$$$$13\!\cdots\!06$$$$T^{5} -$$$$51\!\cdots\!28$$$$T^{6} +$$$$41\!\cdots\!78$$$$T^{7} +$$$$48\!\cdots\!75$$$$T^{8} -$$$$45\!\cdots\!38$$$$T^{9} -$$$$38\!\cdots\!36$$$$T^{10} -$$$$37\!\cdots\!06$$$$T^{11} +$$$$55\!\cdots\!00$$$$T^{12} +$$$$11\!\cdots\!04$$$$T^{13} -$$$$14\!\cdots\!90$$$$T^{14} -$$$$63\!\cdots\!74$$$$T^{15} +$$$$23\!\cdots\!56$$$$T^{16} -$$$$73\!\cdots\!74$$$$T^{17} -$$$$18\!\cdots\!90$$$$T^{18} +$$$$17\!\cdots\!04$$$$T^{19} +$$$$10\!\cdots\!00$$$$T^{20} -$$$$78\!\cdots\!06$$$$T^{21} -$$$$93\!\cdots\!36$$$$T^{22} -$$$$12\!\cdots\!38$$$$T^{23} +$$$$15\!\cdots\!75$$$$T^{24} +$$$$15\!\cdots\!78$$$$T^{25} -$$$$22\!\cdots\!28$$$$T^{26} +$$$$67\!\cdots\!06$$$$T^{27} +$$$$29\!\cdots\!44$$$$T^{28} -$$$$19\!\cdots\!08$$$$T^{29} -$$$$24\!\cdots\!66$$$$T^{30} +$$$$10\!\cdots\!58$$$$T^{31} +$$$$10\!\cdots\!01$$$$T^{32}$$)($$1 + 846 T + 701653349 T^{2} + 593396901342 T^{3} + 252506272850734342 T^{4} +$$$$21\!\cdots\!54$$$$T^{5} +$$$$60\!\cdots\!47$$$$T^{6} +$$$$74\!\cdots\!70$$$$T^{7} +$$$$11\!\cdots\!50$$$$T^{8} +$$$$24\!\cdots\!38$$$$T^{9} +$$$$15\!\cdots\!99$$$$T^{10} +$$$$63\!\cdots\!74$$$$T^{11} +$$$$19\!\cdots\!52$$$$T^{12} +$$$$13\!\cdots\!58$$$$T^{13} +$$$$21\!\cdots\!11$$$$T^{14} +$$$$22\!\cdots\!26$$$$T^{15} +$$$$22\!\cdots\!01$$$$T^{16} +$$$$32\!\cdots\!64$$$$T^{17} +$$$$24\!\cdots\!26$$$$T^{18} +$$$$41\!\cdots\!88$$$$T^{19} +$$$$28\!\cdots\!08$$$$T^{20} +$$$$47\!\cdots\!88$$$$T^{21} +$$$$33\!\cdots\!26$$$$T^{22} +$$$$50\!\cdots\!64$$$$T^{23} +$$$$40\!\cdots\!01$$$$T^{24} +$$$$47\!\cdots\!26$$$$T^{25} +$$$$51\!\cdots\!11$$$$T^{26} +$$$$37\!\cdots\!58$$$$T^{27} +$$$$63\!\cdots\!52$$$$T^{28} +$$$$23\!\cdots\!74$$$$T^{29} +$$$$69\!\cdots\!99$$$$T^{30} +$$$$12\!\cdots\!38$$$$T^{31} +$$$$64\!\cdots\!50$$$$T^{32} +$$$$50\!\cdots\!70$$$$T^{33} +$$$$47\!\cdots\!47$$$$T^{34} +$$$$19\!\cdots\!54$$$$T^{35} +$$$$26\!\cdots\!42$$$$T^{36} +$$$$72\!\cdots\!42$$$$T^{37} +$$$$99\!\cdots\!49$$$$T^{38} +$$$$13\!\cdots\!46$$$$T^{39} +$$$$18\!\cdots\!01$$$$T^{40}$$)($$1 + 846 T + 701653349 T^{2} + 593396901342 T^{3} + 252506272850734342 T^{4} +$$$$21\!\cdots\!54$$$$T^{5} +$$$$60\!\cdots\!47$$$$T^{6} +$$$$74\!\cdots\!70$$$$T^{7} +$$$$11\!\cdots\!50$$$$T^{8} +$$$$24\!\cdots\!38$$$$T^{9} +$$$$15\!\cdots\!99$$$$T^{10} +$$$$63\!\cdots\!74$$$$T^{11} +$$$$19\!\cdots\!52$$$$T^{12} +$$$$13\!\cdots\!58$$$$T^{13} +$$$$21\!\cdots\!11$$$$T^{14} +$$$$22\!\cdots\!26$$$$T^{15} +$$$$22\!\cdots\!01$$$$T^{16} +$$$$32\!\cdots\!64$$$$T^{17} +$$$$24\!\cdots\!26$$$$T^{18} +$$$$41\!\cdots\!88$$$$T^{19} +$$$$28\!\cdots\!08$$$$T^{20} +$$$$47\!\cdots\!88$$$$T^{21} +$$$$33\!\cdots\!26$$$$T^{22} +$$$$50\!\cdots\!64$$$$T^{23} +$$$$40\!\cdots\!01$$$$T^{24} +$$$$47\!\cdots\!26$$$$T^{25} +$$$$51\!\cdots\!11$$$$T^{26} +$$$$37\!\cdots\!58$$$$T^{27} +$$$$63\!\cdots\!52$$$$T^{28} +$$$$23\!\cdots\!74$$$$T^{29} +$$$$69\!\cdots\!99$$$$T^{30} +$$$$12\!\cdots\!38$$$$T^{31} +$$$$64\!\cdots\!50$$$$T^{32} +$$$$50\!\cdots\!70$$$$T^{33} +$$$$47\!\cdots\!47$$$$T^{34} +$$$$19\!\cdots\!54$$$$T^{35} +$$$$26\!\cdots\!42$$$$T^{36} +$$$$72\!\cdots\!42$$$$T^{37} +$$$$99\!\cdots\!49$$$$T^{38} +$$$$13\!\cdots\!46$$$$T^{39} +$$$$18\!\cdots\!01$$$$T^{40}$$)($$( 1 + 12213 T + 217843750 T^{2} + 2053306069551 T^{3} + 5029713408920766 T^{4} - 87384146070861638253 T^{5} -$$$$11\!\cdots\!88$$$$T^{6} -$$$$33\!\cdots\!09$$$$T^{7} -$$$$16\!\cdots\!71$$$$T^{8} -$$$$21\!\cdots\!58$$$$T^{9} -$$$$28\!\cdots\!16$$$$T^{10} -$$$$24\!\cdots\!58$$$$T^{11} -$$$$22\!\cdots\!71$$$$T^{12} -$$$$52\!\cdots\!09$$$$T^{13} -$$$$19\!\cdots\!88$$$$T^{14} -$$$$18\!\cdots\!53$$$$T^{15} +$$$$12\!\cdots\!66$$$$T^{16} +$$$$57\!\cdots\!51$$$$T^{17} +$$$$70\!\cdots\!50$$$$T^{18} +$$$$45\!\cdots\!13$$$$T^{19} +$$$$43\!\cdots\!01$$$$T^{20} )^{2}$$)
$43$ ($$1 - 4936 T + 147008443 T^{2}$$)($$1 - 8770 T + 147008443 T^{2}$$)($$1 + 17578 T + 147008443 T^{2}$$)($$1 - 6232 T + 147008443 T^{2}$$)($$1 - 3352 T + 147008443 T^{2}$$)($$1 - 3352 T + 147008443 T^{2}$$)($$1 - 6232 T + 147008443 T^{2}$$)($$1 + 17578 T + 147008443 T^{2}$$)($$1 - 8770 T + 147008443 T^{2}$$)($$1 - 4936 T + 147008443 T^{2}$$)($$1 + 784 T + 202511922 T^{2} + 115254619312 T^{3} + 21611482313284249 T^{4}$$)($$1 + 9476 T + 105450090 T^{2} + 1393052005868 T^{3} + 21611482313284249 T^{4}$$)($$1 + 11264 T + 155306550 T^{2} + 1655903101952 T^{3} + 21611482313284249 T^{4}$$)($$1 - 15112 T + 233547522 T^{2} - 2221591590616 T^{3} + 21611482313284249 T^{4}$$)($$( 1 + 104 T + 147008443 T^{2} )^{2}$$)($$( 1 + 19976 T + 147008443 T^{2} )^{2}$$)($$1 + 4960 T + 213010962 T^{2} + 729161877280 T^{3} + 21611482313284249 T^{4}$$)($$1 + 4960 T + 213010962 T^{2} + 729161877280 T^{3} + 21611482313284249 T^{4}$$)($$1 - 15112 T + 233547522 T^{2} - 2221591590616 T^{3} + 21611482313284249 T^{4}$$)($$1 + 11264 T + 155306550 T^{2} + 1655903101952 T^{3} + 21611482313284249 T^{4}$$)($$1 + 9476 T + 105450090 T^{2} + 1393052005868 T^{3} + 21611482313284249 T^{4}$$)($$1 + 784 T + 202511922 T^{2} + 115254619312 T^{3} + 21611482313284249 T^{4}$$)($$1 - 7416 T + 183501297 T^{2} - 2670072536144 T^{3} + 26976239960450571 T^{4} -$$$$16\!\cdots\!84$$$$T^{5} +$$$$31\!\cdots\!07$$$$T^{6}$$)($$1 - 7416 T + 183501297 T^{2} - 2670072536144 T^{3} + 26976239960450571 T^{4} -$$$$16\!\cdots\!84$$$$T^{5} +$$$$31\!\cdots\!07$$$$T^{6}$$)($$( 1 - 3352 T + 147008443 T^{2} )( 1 + 3352 T + 147008443 T^{2} )$$)($$( 1 - 3352 T + 147008443 T^{2} )( 1 + 3352 T + 147008443 T^{2} )$$)($$( 1 - 203991434 T^{2} + 21611482313284249 T^{4} )^{2}$$)($$( 1 - 131949386 T^{2} + 21611482313284249 T^{4} )^{2}$$)($$( 1 - 567157588 T^{2} + 123634693871588886 T^{4} -$$$$12\!\cdots\!12$$$$T^{6} +$$$$46\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 - 501034804 T^{2} + 104415363340402902 T^{4} -$$$$10\!\cdots\!96$$$$T^{6} +$$$$46\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 - 732847038 T^{2} + 243712299427969911 T^{4} -$$$$46\!\cdots\!36$$$$T^{6} +$$$$52\!\cdots\!39$$$$T^{8} -$$$$34\!\cdots\!38$$$$T^{10} +$$$$10\!\cdots\!49$$$$T^{12} )^{2}$$)($$1 + 32858 T + 531117661 T^{2} + 8362808427386 T^{3} + 120556834830700108 T^{4} +$$$$12\!\cdots\!98$$$$T^{5} +$$$$11\!\cdots\!89$$$$T^{6} +$$$$10\!\cdots\!06$$$$T^{7} +$$$$46\!\cdots\!01$$$$T^{8}$$)($$1 - 31389 T + 371875485 T^{2} - 1823349120818 T^{3} + 12515413892662971 T^{4} -$$$$36\!\cdots\!65$$$$T^{5} +$$$$57\!\cdots\!06$$$$T^{6} -$$$$53\!\cdots\!95$$$$T^{7} +$$$$27\!\cdots\!79$$$$T^{8} -$$$$57\!\cdots\!26$$$$T^{9} +$$$$17\!\cdots\!85$$$$T^{10} -$$$$21\!\cdots\!27$$$$T^{11} +$$$$10\!\cdots\!49$$$$T^{12}$$)($$1 - 6092 T - 493633434 T^{2} + 1717030281896 T^{3} + 152938627936979465 T^{4} -$$$$29\!\cdots\!88$$$$T^{5} -$$$$33\!\cdots\!22$$$$T^{6} +$$$$15\!\cdots\!68$$$$T^{7} +$$$$57\!\cdots\!20$$$$T^{8} +$$$$23\!\cdots\!24$$$$T^{9} -$$$$72\!\cdots\!78$$$$T^{10} -$$$$92\!\cdots\!16$$$$T^{11} +$$$$71\!\cdots\!65$$$$T^{12} +$$$$11\!\cdots\!28$$$$T^{13} -$$$$49\!\cdots\!66$$$$T^{14} -$$$$90\!\cdots\!44$$$$T^{15} +$$$$21\!\cdots\!01$$$$T^{16}$$)($$1 + 1469 T - 271863536 T^{2} - 4016430594327 T^{3} + 12129147672135834 T^{4} +$$$$75\!\cdots\!27$$$$T^{5} +$$$$55\!\cdots\!62$$$$T^{6} +$$$$12\!\cdots\!57$$$$T^{7} -$$$$29\!\cdots\!39$$$$T^{8} -$$$$61\!\cdots\!62$$$$T^{9} -$$$$11\!\cdots\!84$$$$T^{10} -$$$$90\!\cdots\!66$$$$T^{11} -$$$$64\!\cdots\!11$$$$T^{12} +$$$$38\!\cdots\!99$$$$T^{13} +$$$$26\!\cdots\!62$$$$T^{14} +$$$$52\!\cdots\!61$$$$T^{15} +$$$$12\!\cdots\!66$$$$T^{16} -$$$$59\!\cdots\!89$$$$T^{17} -$$$$59\!\cdots\!36$$$$T^{18} +$$$$47\!\cdots\!67$$$$T^{19} +$$$$47\!\cdots\!49$$$$T^{20}$$)($$1 + 10661 T - 623773965 T^{2} - 4644578579856 T^{3} + 217495733901369402 T^{4} +$$$$91\!\cdots\!58$$$$T^{5} -$$$$57\!\cdots\!73$$$$T^{6} -$$$$14\!\cdots\!15$$$$T^{7} +$$$$12\!\cdots\!76$$$$T^{8} +$$$$22\!\cdots\!93$$$$T^{9} -$$$$24\!\cdots\!03$$$$T^{10} -$$$$28\!\cdots\!30$$$$T^{11} +$$$$42\!\cdots\!69$$$$T^{12} +$$$$17\!\cdots\!71$$$$T^{13} -$$$$65\!\cdots\!62$$$$T^{14} +$$$$25\!\cdots\!53$$$$T^{15} +$$$$90\!\cdots\!81$$$$T^{16} -$$$$90\!\cdots\!10$$$$T^{17} -$$$$11\!\cdots\!03$$$$T^{18} +$$$$15\!\cdots\!99$$$$T^{19} +$$$$12\!\cdots\!24$$$$T^{20} -$$$$21\!\cdots\!05$$$$T^{21} -$$$$12\!\cdots\!73$$$$T^{22} +$$$$29\!\cdots\!94$$$$T^{23} +$$$$10\!\cdots\!98$$$$T^{24} -$$$$32\!\cdots\!92$$$$T^{25} -$$$$63\!\cdots\!65$$$$T^{26} +$$$$15\!\cdots\!23$$$$T^{27} +$$$$22\!\cdots\!49$$$$T^{28}$$)($$1 + 6358 T - 605632010 T^{2} + 3590184015404 T^{3} + 251121895055192660 T^{4} -$$$$32\!\cdots\!58$$$$T^{5} -$$$$55\!\cdots\!56$$$$T^{6} +$$$$13\!\cdots\!46$$$$T^{7} +$$$$54\!\cdots\!11$$$$T^{8} -$$$$37\!\cdots\!86$$$$T^{9} +$$$$12\!\cdots\!00$$$$T^{10} +$$$$71\!\cdots\!02$$$$T^{11} -$$$$67\!\cdots\!48$$$$T^{12} -$$$$91\!\cdots\!08$$$$T^{13} +$$$$17\!\cdots\!98$$$$T^{14} +$$$$54\!\cdots\!18$$$$T^{15} -$$$$29\!\cdots\!68$$$$T^{16} +$$$$80\!\cdots\!74$$$$T^{17} +$$$$37\!\cdots\!02$$$$T^{18} -$$$$29\!\cdots\!56$$$$T^{19} -$$$$31\!\cdots\!48$$$$T^{20} +$$$$49\!\cdots\!86$$$$T^{21} +$$$$12\!\cdots\!00$$$$T^{22} -$$$$54\!\cdots\!02$$$$T^{23} +$$$$11\!\cdots\!11$$$$T^{24} +$$$$44\!\cdots\!78$$$$T^{25} -$$$$26\!\cdots\!44$$$$T^{26} -$$$$22\!\cdots\!06$$$$T^{27} +$$$$25\!\cdots\!60$$$$T^{28} +$$$$53\!\cdots\!72$$$$T^{29} -$$$$13\!\cdots\!90$$$$T^{30} +$$$$20\!\cdots\!06$$$$T^{31} +$$$$47\!\cdots\!01$$$$T^{32}$$)($$1 + 551639443 T^{2} + 96728798958736102 T^{4} +$$$$22\!\cdots\!20$$$$T^{5} +$$$$65\!\cdots\!17$$$$T^{6} +$$$$17\!\cdots\!52$$$$T^{7} +$$$$21\!\cdots\!90$$$$T^{8} +$$$$50\!\cdots\!96$$$$T^{9} +$$$$71\!\cdots\!97$$$$T^{10} +$$$$62\!\cdots\!60$$$$T^{11} +$$$$10\!\cdots\!04$$$$T^{12} +$$$$51\!\cdots\!40$$$$T^{13} +$$$$18\!\cdots\!53$$$$T^{14} +$$$$15\!\cdots\!96$$$$T^{15} +$$$$44\!\cdots\!93$$$$T^{16} +$$$$38\!\cdots\!52$$$$T^{17} +$$$$50\!\cdots\!26$$$$T^{18} +$$$$52\!\cdots\!68$$$$T^{19} +$$$$38\!\cdots\!24$$$$T^{20} +$$$$76\!\cdots\!24$$$$T^{21} +$$$$10\!\cdots\!74$$$$T^{22} +$$$$12\!\cdots\!64$$$$T^{23} +$$$$20\!\cdots\!93$$$$T^{24} +$$$$10\!\cdots\!28$$$$T^{25} +$$$$19\!\cdots\!97$$$$T^{26} +$$$$76\!\cdots\!80$$$$T^{27} +$$$$22\!\cdots\!04$$$$T^{28} +$$$$20\!\cdots\!80$$$$T^{29} +$$$$33\!\cdots\!53$$$$T^{30} +$$$$34\!\cdots\!72$$$$T^{31} +$$$$21\!\cdots\!90$$$$T^{32} +$$$$26\!\cdots\!36$$$$T^{33} +$$$$14\!\cdots\!33$$$$T^{34} +$$$$71\!\cdots\!40$$$$T^{35} +$$$$46\!\cdots\!02$$$$T^{36} +$$$$56\!\cdots\!07$$$$T^{38} +$$$$22\!\cdots\!01$$$$T^{40}$$)($$1 + 551639443 T^{2} + 96728798958736102 T^{4} -$$$$22\!\cdots\!20$$$$T^{5} +$$$$65\!\cdots\!17$$$$T^{6} -$$$$17\!\cdots\!52$$$$T^{7} +$$$$21\!\cdots\!90$$$$T^{8} -$$$$50\!\cdots\!96$$$$T^{9} +$$$$71\!\cdots\!97$$$$T^{10} -$$$$62\!\cdots\!60$$$$T^{11} +$$$$10\!\cdots\!04$$$$T^{12} -$$$$51\!\cdots\!40$$$$T^{13} +$$$$18\!\cdots\!53$$$$T^{14} -$$$$15\!\cdots\!96$$$$T^{15} +$$$$44\!\cdots\!93$$$$T^{16} -$$$$38\!\cdots\!52$$$$T^{17} +$$$$50\!\cdots\!26$$$$T^{18} -$$$$52\!\cdots\!68$$$$T^{19} +$$$$38\!\cdots\!24$$$$T^{20} -$$$$76\!\cdots\!24$$$$T^{21} +$$$$10\!\cdots\!74$$$$T^{22} -$$$$12\!\cdots\!64$$$$T^{23} +$$$$20\!\cdots\!93$$$$T^{24} -$$$$10\!\cdots\!28$$$$T^{25} +$$$$19\!\cdots\!97$$$$T^{26} -$$$$76\!\cdots\!80$$$$T^{27} +$$$$22\!\cdots\!04$$$$T^{28} -$$$$20\!\cdots\!80$$$$T^{29} +$$$$33\!\cdots\!53$$$$T^{30} -$$$$34\!\cdots\!72$$$$T^{31} +$$$$21\!\cdots\!90$$$$T^{32} -$$$$26\!\cdots\!36$$$$T^{33} +$$$$14\!\cdots\!33$$$$T^{34} -$$$$71\!\cdots\!40$$$$T^{35} +$$$$46\!\cdots\!02$$$$T^{36} +$$$$56\!\cdots\!07$$$$T^{38} +$$$$22\!\cdots\!01$$$$T^{40}$$)($$1 + 1205685913 T^{2} + 766333859191038610 T^{4} +$$$$34\!\cdots\!95$$$$T^{6} +$$$$12\!\cdots\!26$$$$T^{8} +$$$$35\!\cdots\!71$$$$T^{10} +$$$$88\!\cdots\!72$$$$T^{12} +$$$$19\!\cdots\!75$$$$T^{14} +$$$$37\!\cdots\!73$$$$T^{16} +$$$$65\!\cdots\!78$$$$T^{18} +$$$$10\!\cdots\!24$$$$T^{20} +$$$$14\!\cdots\!22$$$$T^{22} +$$$$17\!\cdots\!73$$$$T^{24} +$$$$19\!\cdots\!75$$$$T^{26} +$$$$19\!\cdots\!72$$$$T^{28} +$$$$16\!\cdots\!79$$$$T^{30} +$$$$12\!\cdots\!26$$$$T^{32} +$$$$75\!\cdots\!55$$$$T^{34} +$$$$36\!\cdots\!10$$$$T^{36} +$$$$12\!\cdots\!37$$$$T^{38} +$$$$22\!\cdots\!01$$$$T^{40}$$)
$47$ ($$1 - 8124 T + 229345007 T^{2}$$)($$1 - 12666 T + 229345007 T^{2}$$)($$1 - 7638 T + 229345007 T^{2}$$)($$1 + 29832 T + 229345007 T^{2}$$)($$1 + 229345007 T^{2}$$)($$1 + 229345007 T^{2}$$)($$1 - 29832 T + 229345007 T^{2}$$)($$1 + 7638 T + 229345007 T^{2}$$)($$1 + 12666 T + 229345007 T^{2}$$)($$1 + 8124 T + 229345007 T^{2}$$)($$1 - 1116 T + 71228386 T^{2} - 255949027812 T^{3} + 52599132235830049 T^{4}$$)($$1 + 14028 T + 424343170 T^{2} + 3217251758196 T^{3} + 52599132235830049 T^{4}$$)($$1 - 28116 T + 642581038 T^{2} - 6448264216812 T^{3} + 52599132235830049 T^{4}$$)($$1 - 156 T + 438351202 T^{2} - 35777821092 T^{3} + 52599132235830049 T^{4}$$)($$1 + 37745758 T^{2} + 52599132235830049 T^{4}$$)($$1 + 341046910 T^{2} + 52599132235830049 T^{4}$$)($$1 + 18468 T + 312496354 T^{2} + 4235543589276 T^{3} + 52599132235830049 T^{4}$$)($$1 - 18468 T + 312496354 T^{2} - 4235543589276 T^{3} + 52599132235830049 T^{4}$$)($$1 + 156 T + 438351202 T^{2} + 35777821092 T^{3} + 52599132235830049 T^{4}$$)($$1 + 28116 T + 642581038 T^{2} + 6448264216812 T^{3} + 52599132235830049 T^{4}$$)($$1 - 14028 T + 424343170 T^{2} - 3217251758196 T^{3} + 52599132235830049 T^{4}$$)($$1 + 1116 T + 71228386 T^{2} + 255949027812 T^{3} + 52599132235830049 T^{4}$$)($$1 + 35340 T + 945684861 T^{2} + 15284378724648 T^{3} + 216888101065839027 T^{4} +$$$$18\!\cdots\!60$$$$T^{5} +$$$$12\!\cdots\!43$$$$T^{6}$$)($$1 - 35340 T + 945684861 T^{2} - 15284378724648 T^{3} + 216888101065839027 T^{4} -$$$$18\!\cdots\!60$$$$T^{5} +$$$$12\!\cdots\!43$$$$T^{6}$$)($$( 1 + 229345007 T^{2} )^{2}$$)($$( 1 + 229345007 T^{2} )^{2}$$)($$( 1 + 178322446 T^{2} + 52599132235830049 T^{4} )^{2}$$)($$( 1 + 384647806 T^{2} + 52599132235830049 T^{4} )^{2}$$)($$( 1 + 281160236 T^{2} + 75951389315227110 T^{4} +$$$$14\!\cdots\!64$$$$T^{6} +$$$$27\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 + 764408612 T^{2} + 251028938373482886 T^{4} +$$$$40\!\cdots\!88$$$$T^{6} +$$$$27\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 - 69010026 T^{2} + 18111513461146287 T^{4} +$$$$12\!\cdots\!44$$$$T^{6} +$$$$95\!\cdots\!63$$$$T^{8} -$$$$19\!\cdots\!26$$$$T^{10} +$$$$14\!\cdots\!49$$$$T^{12} )^{2}$$)($$1 - 24954 T + 21728789 T^{2} - 3550537792602 T^{3} + 165756186376684068 T^{4} -$$$$81\!\cdots\!14$$$$T^{5} +$$$$11\!\cdots\!61$$$$T^{6} -$$$$30\!\cdots\!22$$$$T^{7} +$$$$27\!\cdots\!01$$$$T^{8}$$)($$1 - 12924 T - 448629342 T^{2} + 4068633746340 T^{3} + 160129591294416234 T^{4} -$$$$73\!\cdots\!76$$$$T^{5} -$$$$35\!\cdots\!10$$$$T^{6} -$$$$16\!\cdots\!32$$$$T^{7} +$$$$84\!\cdots\!66$$$$T^{8} +$$$$49\!\cdots\!20$$$$T^{9} -$$$$12\!\cdots\!42$$$$T^{10} -$$$$82\!\cdots\!68$$$$T^{11} +$$$$14\!\cdots\!49$$$$T^{12}$$)($$1 + 60 T - 695011823 T^{2} + 3293074754652 T^{3} + 272693815319492413 T^{4} -$$$$15\!\cdots\!00$$$$T^{5} -$$$$70\!\cdots\!78$$$$T^{6} +$$$$17\!\cdots\!56$$$$T^{7} +$$$$15\!\cdots\!82$$$$T^{8} +$$$$41\!\cdots\!92$$$$T^{9} -$$$$37\!\cdots\!22$$$$T^{10} -$$$$18\!\cdots\!00$$$$T^{11} +$$$$75\!\cdots\!13$$$$T^{12} +$$$$20\!\cdots\!64$$$$T^{13} -$$$$10\!\cdots\!27$$$$T^{14} +$$$$20\!\cdots\!80$$$$T^{15} +$$$$76\!\cdots\!01$$$$T^{16}$$)($$1 + 25155 T - 401246233 T^{2} - 14349179861244 T^{3} + 97557609874842960 T^{4} +$$$$41\!\cdots\!12$$$$T^{5} -$$$$25\!\cdots\!27$$$$T^{6} -$$$$55\!\cdots\!85$$$$T^{7} +$$$$12\!\cdots\!11$$$$T^{8} +$$$$42\!\cdots\!56$$$$T^{9} -$$$$37\!\cdots\!60$$$$T^{10} +$$$$96\!\cdots\!92$$$$T^{11} +$$$$67\!\cdots\!39$$$$T^{12} -$$$$67\!\cdots\!55$$$$T^{13} -$$$$71\!\cdots\!27$$$$T^{14} +$$$$26\!\cdots\!84$$$$T^{15} +$$$$14\!\cdots\!40$$$$T^{16} -$$$$47\!\cdots\!92$$$$T^{17} -$$$$30\!\cdots\!33$$$$T^{18} +$$$$44\!\cdots\!85$$$$T^{19} +$$$$40\!\cdots\!49$$$$T^{20}$$)($$1 - 6621 T - 533369894 T^{2} + 17569640679837 T^{3} + 64218296273974477 T^{4} -$$$$74\!\cdots\!44$$$$T^{5} +$$$$13\!\cdots\!88$$$$T^{6} +$$$$10\!\cdots\!80$$$$T^{7} -$$$$55\!\cdots\!48$$$$T^{8} +$$$$75\!\cdots\!08$$$$T^{9} +$$$$79\!\cdots\!48$$$$T^{10} -$$$$29\!\cdots\!32$$$$T^{11} +$$$$30\!\cdots\!94$$$$T^{12} +$$$$42\!\cdots\!86$$$$T^{13} -$$$$11\!\cdots\!24$$$$T^{14} +$$$$96\!\cdots\!02$$$$T^{15} +$$$$16\!\cdots\!06$$$$T^{16} -$$$$36\!\cdots\!76$$$$T^{17} +$$$$21\!\cdots\!48$$$$T^{18} +$$$$47\!\cdots\!56$$$$T^{19} -$$$$80\!\cdots\!52$$$$T^{20} +$$$$33\!\cdots\!40$$$$T^{21} +$$$$10\!\cdots\!88$$$$T^{22} -$$$$13\!\cdots\!08$$$$T^{23} +$$$$25\!\cdots\!73$$$$T^{24} +$$$$16\!\cdots\!91$$$$T^{25} -$$$$11\!\cdots\!94$$$$T^{26} -$$$$32\!\cdots\!47$$$$T^{27} +$$$$11\!\cdots\!49$$$$T^{28}$$)($$1 - 18651 T - 478342651 T^{2} + 16725616433838 T^{3} - 33307495516308636 T^{4} -$$$$54\!\cdots\!54$$$$T^{5} +$$$$55\!\cdots\!09$$$$T^{6} +$$$$88\!\cdots\!55$$$$T^{7} -$$$$14\!\cdots\!23$$$$T^{8} -$$$$20\!\cdots\!40$$$$T^{9} +$$$$46\!\cdots\!92$$$$T^{10} +$$$$52\!\cdots\!36$$$$T^{11} -$$$$16\!\cdots\!66$$$$T^{12} -$$$$76\!\cdots\!58$$$$T^{13} +$$$$33\!\cdots\!34$$$$T^{14} -$$$$94\!\cdots\!12$$$$T^{15} -$$$$52\!\cdots\!12$$$$T^{16} -$$$$21\!\cdots\!84$$$$T^{17} +$$$$17\!\cdots\!66$$$$T^{18} -$$$$92\!\cdots\!94$$$$T^{19} -$$$$46\!\cdots\!66$$$$T^{20} +$$$$33\!\cdots\!52$$$$T^{21} +$$$$67\!\cdots\!08$$$$T^{22} -$$$$68\!\cdots\!20$$$$T^{23} -$$$$11\!\cdots\!23$$$$T^{24} +$$$$15\!\cdots\!85$$$$T^{25} +$$$$22\!\cdots\!41$$$$T^{26} -$$$$49\!\cdots\!22$$$$T^{27} -$$$$70\!\cdots\!36$$$$T^{28} +$$$$81\!\cdots\!66$$$$T^{29} -$$$$53\!\cdots\!99$$$$T^{30} -$$$$47\!\cdots\!93$$$$T^{31} +$$$$58\!\cdots\!01$$$$T^{32}$$)($$1 - 15315 T - 1030512506 T^{2} + 17817892408023 T^{3} + 526181020036296649 T^{4} -$$$$10\!\cdots\!48$$$$T^{5} -$$$$16\!\cdots\!30$$$$T^{6} +$$$$41\!\cdots\!62$$$$T^{7} +$$$$30\!\cdots\!44$$$$T^{8} -$$$$11\!\cdots\!42$$$$T^{9} -$$$$10\!\cdots\!82$$$$T^{10} +$$$$25\!\cdots\!56$$$$T^{11} -$$$$21\!\cdots\!69$$$$T^{12} -$$$$40\!\cdots\!13$$$$T^{13} +$$$$85\!\cdots\!22$$$$T^{14} +$$$$40\!\cdots\!33$$$$T^{15} -$$$$21\!\cdots\!41$$$$T^{16} -$$$$13\!\cdots\!60$$$$T^{17} +$$$$42\!\cdots\!68$$$$T^{18} -$$$$95\!\cdots\!24$$$$T^{19} -$$$$87\!\cdots\!88$$$$T^{20} -$$$$21\!\cdots\!68$$$$T^{21} +$$$$22\!\cdots\!32$$$$T^{22} -$$$$15\!\cdots\!80$$$$T^{23} -$$$$58\!\cdots\!41$$$$T^{24} +$$$$25\!\cdots\!31$$$$T^{25} +$$$$12\!\cdots\!78$$$$T^{26} -$$$$13\!\cdots\!59$$$$T^{27} -$$$$16\!\cdots\!69$$$$T^{28} +$$$$45\!\cdots\!92$$$$T^{29} -$$$$42\!\cdots\!18$$$$T^{30} -$$$$10\!\cdots\!06$$$$T^{31} +$$$$64\!\cdots\!44$$$$T^{32} +$$$$20\!\cdots\!34$$$$T^{33} -$$$$18\!\cdots\!70$$$$T^{34} -$$$$26\!\cdots\!64$$$$T^{35} +$$$$30\!\cdots\!49$$$$T^{36} +$$$$23\!\cdots\!61$$$$T^{37} -$$$$31\!\cdots\!94$$$$T^{38} -$$$$10\!\cdots\!45$$$$T^{39} +$$$$16\!\cdots\!01$$$$T^{40}$$)($$1 + 15315 T - 1030512506 T^{2} - 17817892408023 T^{3} + 526181020036296649 T^{4} +$$$$10\!\cdots\!48$$$$T^{5} -$$$$16\!\cdots\!30$$$$T^{6} -$$$$41\!\cdots\!62$$$$T^{7} +$$$$30\!\cdots\!44$$$$T^{8} +$$$$11\!\cdots\!42$$$$T^{9} -$$$$10\!\cdots\!82$$$$T^{10} -$$$$25\!\cdots\!56$$$$T^{11} -$$$$21\!\cdots\!69$$$$T^{12} +$$$$40\!\cdots\!13$$$$T^{13} +$$$$85\!\cdots\!22$$$$T^{14} -$$$$40\!\cdots\!33$$$$T^{15} -$$$$21\!\cdots\!41$$$$T^{16} +$$$$13\!\cdots\!60$$$$T^{17} +$$$$42\!\cdots\!68$$$$T^{18} +$$$$95\!\cdots\!24$$$$T^{19} -$$$$87\!\cdots\!88$$$$T^{20} +$$$$21\!\cdots\!68$$$$T^{21} +$$$$22\!\cdots\!32$$$$T^{22} +$$$$15\!\cdots\!80$$$$T^{23} -$$$$58\!\cdots\!41$$$$T^{24} -$$$$25\!\cdots\!31$$$$T^{25} +$$$$12\!\cdots\!78$$$$T^{26} +$$$$13\!\cdots\!59$$$$T^{27} -$$$$16\!\cdots\!69$$$$T^{28} -$$$$45\!\cdots\!92$$$$T^{29} -$$$$42\!\cdots\!18$$$$T^{30} +$$$$10\!\cdots\!06$$$$T^{31} +$$$$64\!\cdots\!44$$$$T^{32} -$$$$20\!\cdots\!34$$$$T^{33} -$$$$18\!\cdots\!70$$$$T^{34} +$$$$26\!\cdots\!64$$$$T^{35} +$$$$30\!\cdots\!49$$$$T^{36} -$$$$23\!\cdots\!61$$$$T^{37} -$$$$31\!\cdots\!94$$$$T^{38} +$$$$10\!\cdots\!45$$$$T^{39} +$$$$16\!\cdots\!01$$$$T^{40}$$)($$1 - 1302765665 T^{2} + 806127127276798789 T^{4} -$$$$34\!\cdots\!78$$$$T^{6} +$$$$11\!\cdots\!38$$$$T^{8} -$$$$38\!\cdots\!02$$$$T^{10} +$$$$11\!\cdots\!87$$$$T^{12} -$$$$31\!\cdots\!47$$$$T^{14} +$$$$84\!\cdots\!07$$$$T^{16} -$$$$21\!\cdots\!80$$$$T^{18} +$$$$50\!\cdots\!48$$$$T^{20} -$$$$11\!\cdots\!20$$$$T^{22} +$$$$23\!\cdots\!07$$$$T^{24} -$$$$45\!\cdots\!03$$$$T^{26} +$$$$86\!\cdots\!87$$$$T^{28} -$$$$15\!\cdots\!98$$$$T^{30} +$$$$25\!\cdots\!38$$$$T^{32} -$$$$37\!\cdots\!22$$$$T^{34} +$$$$47\!\cdots\!89$$$$T^{36} -$$$$40\!\cdots\!85$$$$T^{38} +$$$$16\!\cdots\!01$$$$T^{40}$$)
$53$ ($$1 - 33192 T + 418195493 T^{2}$$)($$1 - 9621 T + 418195493 T^{2}$$)($$1 - 12361 T + 418195493 T^{2}$$)($$1 + 22608 T + 418195493 T^{2}$$)($$1 + 418195493 T^{2}$$)($$1 + 418195493 T^{2}$$)($$1 - 22608 T + 418195493 T^{2}$$)($$1 + 12361 T + 418195493 T^{2}$$)($$1 + 9621 T + 418195493 T^{2}$$)($$1 + 33192 T + 418195493 T^{2}$$)($$1 + 4536 T + 660088897 T^{2} + 1896934756248 T^{3} + 174887470365513049 T^{4}$$)($$1 + 15770 T - 48014929 T^{2} + 6594942924610 T^{3} + 174887470365513049 T^{4}$$)($$1 + 46984 T + 1367689610 T^{2} + 19648497043112 T^{3} + 174887470365513049 T^{4}$$)($$1 - 3004 T + 829164869 T^{2} - 1256259260972 T^{3} + 174887470365513049 T^{4}$$)($$1 + 835271242 T^{2} + 174887470365513049 T^{4}$$)($$1 - 31068470 T^{2} + 174887470365513049 T^{4}$$)($$1 + 11664 T + 484234009 T^{2} + 4877832230352 T^{3} + 174887470365513049 T^{4}$$)($$1 - 11664 T + 484234009 T^{2} - 4877832230352 T^{3} + 174887470365513049 T^{4}$$)($$1 + 3004 T + 829164869 T^{2} + 1256259260972 T^{3} + 174887470365513049 T^{4}$$)($$1 - 46984 T + 1367689610 T^{2} - 19648497043112 T^{3} + 174887470365513049 T^{4}$$)($$1 - 15770 T - 48014929 T^{2} - 6594942924610 T^{3} + 174887470365513049 T^{4}$$)($$1 - 4536 T + 660088897 T^{2} - 1896934756248 T^{3} + 174887470365513049 T^{4}$$)($$1 - 39624 T + 1657931055 T^{2} - 33702395146192 T^{3} + 693339294905735115 T^{4} -$$$$69\!\cdots\!76$$$$T^{5} +$$$$73\!\cdots\!57$$$$T^{6}$$)($$1 + 39624 T + 1657931055 T^{2} + 33702395146192 T^{3} + 693339294905735115 T^{4} +$$$$69\!\cdots\!76$$$$T^{5} +$$$$73\!\cdots\!57$$$$T^{6}$$)($$( 1 - 418195493 T^{2} )^{2}$$)($$( 1 - 418195493 T^{2} )^{2}$$)($$( 1 + 765045110 T^{2} + 174887470365513049 T^{4} )^{2}$$)($$( 1 + 52115510 T^{2} + 174887470365513049 T^{4} )^{2}$$)($$( 1 - 1672559060 T^{2} + 1049138380766850198 T^{4} -$$$$29\!\cdots\!40$$$$T^{6} +$$$$30\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 - 481263386 T^{2} + 392162480721799179 T^{4} -$$$$84\!\cdots\!14$$$$T^{6} +$$$$30\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 - 1800292467 T^{2} + 1509859391484075342 T^{4} -$$$$77\!\cdots\!91$$$$T^{6} +$$$$26\!\cdots\!58$$$$T^{8} -$$$$55\!\cdots\!67$$$$T^{10} +$$$$53\!\cdots\!49$$$$T^{12} )^{2}$$)($$( 1 - 16332 T + 896230798 T^{2} - 6829968791676 T^{3} + 174887470365513049 T^{4} )^{2}$$)($$( 1 - 48024 T + 1811738067 T^{2} - 41931353529216 T^{3} + 757660694115932031 T^{4} -$$$$83\!\cdots\!76$$$$T^{5} +$$$$73\!\cdots\!57$$$$T^{6} )^{2}$$)($$( 1 + 10476 T + 1064413976 T^{2} + 16431260960628 T^{3} + 549720542476264830 T^{4} +$$$$68\!\cdots\!04$$$$T^{5} +$$$$18\!\cdots\!24$$$$T^{6} +$$$$76\!\cdots\!32$$$$T^{7} +$$$$30\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 + 58422 T + 3354568213 T^{2} + 110313236959296 T^{3} + 3390725554692289246 T^{4} +$$$$71\!\cdots\!28$$$$T^{5} +$$$$14\!\cdots\!78$$$$T^{6} +$$$$19\!\cdots\!04$$$$T^{7} +$$$$24\!\cdots\!41$$$$T^{8} +$$$$17\!\cdots\!22$$$$T^{9} +$$$$12\!\cdots\!93$$$$T^{10} )^{2}$$)($$( 1 - 18118 T + 1311642011 T^{2} - 23787594499172 T^{3} + 1115922058804459445 T^{4} -$$$$18\!\cdots\!66$$$$T^{5} +$$$$63\!\cdots\!59$$$$T^{6} -$$$$93\!\cdots\!04$$$$T^{7} +$$$$26\!\cdots\!87$$$$T^{8} -$$$$33\!\cdots\!34$$$$T^{9} +$$$$81\!\cdots\!65$$$$T^{10} -$$$$72\!\cdots\!72$$$$T^{11} +$$$$16\!\cdots\!23$$$$T^{12} -$$$$96\!\cdots\!82$$$$T^{13} +$$$$22\!\cdots\!57$$$$T^{14} )^{2}$$)($$( 1 + 13574 T + 1121284472 T^{2} + 17073561025410 T^{3} + 432137755729592684 T^{4} +$$$$60\!\cdots\!98$$$$T^{5} +$$$$60\!\cdots\!56$$$$T^{6} -$$$$70\!\cdots\!50$$$$T^{7} +$$$$23\!\cdots\!86$$$$T^{8} -$$$$29\!\cdots\!50$$$$T^{9} +$$$$10\!\cdots\!44$$$$T^{10} +$$$$44\!\cdots\!86$$$$T^{11} +$$$$13\!\cdots\!84$$$$T^{12} +$$$$21\!\cdots\!30$$$$T^{13} +$$$$59\!\cdots\!28$$$$T^{14} +$$$$30\!\cdots\!18$$$$T^{15} +$$$$93\!\cdots\!01$$$$T^{16} )^{2}$$)($$1 - 3771418516 T^{2} + 7308335664779525326 T^{4} -$$$$96\!\cdots\!60$$$$T^{6} +$$$$97\!\cdots\!09$$$$T^{8} -$$$$80\!\cdots\!36$$$$T^{10} +$$$$55\!\cdots\!52$$$$T^{12} -$$$$33\!\cdots\!48$$$$T^{14} +$$$$17\!\cdots\!74$$$$T^{16} -$$$$86\!\cdots\!08$$$$T^{18} +$$$$37\!\cdots\!84$$$$T^{20} -$$$$15\!\cdots\!92$$$$T^{22} +$$$$54\!\cdots\!74$$$$T^{24} -$$$$17\!\cdots\!52$$$$T^{26} +$$$$52\!\cdots\!52$$$$T^{28} -$$$$13\!\cdots\!64$$$$T^{30} +$$$$27\!\cdots\!09$$$$T^{32} -$$$$48\!\cdots\!40$$$$T^{34} +$$$$63\!\cdots\!26$$$$T^{36} -$$$$57\!\cdots\!84$$$$T^{38} +$$$$26\!\cdots\!01$$$$T^{40}$$)($$1 - 3771418516 T^{2} + 7308335664779525326 T^{4} -$$$$96\!\cdots\!60$$$$T^{6} +$$$$97\!\cdots\!09$$$$T^{8} -$$$$80\!\cdots\!36$$$$T^{10} +$$$$55\!\cdots\!52$$$$T^{12} -$$$$33\!\cdots\!48$$$$T^{14} +$$$$17\!\cdots\!74$$$$T^{16} -$$$$86\!\cdots\!08$$$$T^{18} +$$$$37\!\cdots\!84$$$$T^{20} -$$$$15\!\cdots\!92$$$$T^{22} +$$$$54\!\cdots\!74$$$$T^{24} -$$$$17\!\cdots\!52$$$$T^{26} +$$$$52\!\cdots\!52$$$$T^{28} -$$$$13\!\cdots\!64$$$$T^{30} +$$$$27\!\cdots\!09$$$$T^{32} -$$$$48\!\cdots\!40$$$$T^{34} +$$$$63\!\cdots\!26$$$$T^{36} -$$$$57\!\cdots\!84$$$$T^{38} +$$$$26\!\cdots\!01$$$$T^{40}$$)($$( 1 - 2756106854 T^{2} + 3602997115419941829 T^{4} -$$$$30\!\cdots\!88$$$$T^{6} +$$$$18\!\cdots\!02$$$$T^{8} -$$$$86\!\cdots\!04$$$$T^{10} +$$$$32\!\cdots\!98$$$$T^{12} -$$$$92\!\cdots\!88$$$$T^{14} +$$$$19\!\cdots\!21$$$$T^{16} -$$$$25\!\cdots\!54$$$$T^{18} +$$$$16\!\cdots\!49$$$$T^{20} )^{2}$$)
$59$ ($$1 - 42492 T + 714924299 T^{2}$$)($$1 + 21468 T + 714924299 T^{2}$$)($$1 - 43964 T + 714924299 T^{2}$$)($$1 - 19608 T + 714924299 T^{2}$$)($$1 + 714924299 T^{2}$$)($$1 + 714924299 T^{2}$$)($$1 + 19608 T + 714924299 T^{2}$$)($$1 + 43964 T + 714924299 T^{2}$$)($$1 - 21468 T + 714924299 T^{2}$$)($$1 + 42492 T + 714924299 T^{2}$$)($$1 + 67320 T + 2518887910 T^{2} + 48128703808680 T^{3} + 511116753300641401 T^{4}$$)($$1 - 33752 T + 1368434534 T^{2} - 24130124939848 T^{3} + 511116753300641401 T^{4}$$)($$1 - 20788 T + 264847334 T^{2} - 14861846327612 T^{3} + 511116753300641401 T^{4}$$)($$1 - 27704 T + 1552385318 T^{2} - 19806262779496 T^{3} + 511116753300641401 T^{4}$$)($$1 + 484532374 T^{2} + 511116753300641401 T^{4}$$)($$1 + 1396994998 T^{2} + 511116753300641401 T^{4}$$)($$1 + 1944 T + 961283686 T^{2} + 1389812837256 T^{3} + 511116753300641401 T^{4}$$)($$1 - 1944 T + 961283686 T^{2} - 1389812837256 T^{3} + 511116753300641401 T^{4}$$)($$1 + 27704 T + 1552385318 T^{2} + 19806262779496 T^{3} + 511116753300641401 T^{4}$$)($$1 + 20788 T + 264847334 T^{2} + 14861846327612 T^{3} + 511116753300641401 T^{4}$$)($$1 + 33752 T + 1368434534 T^{2} + 24130124939848 T^{3} + 511116753300641401 T^{4}$$)($$1 - 67320 T + 2518887910 T^{2} - 48128703808680 T^{3} + 511116753300641401 T^{4}$$)($$1 + 104700 T + 5648926545 T^{2} + 186671780921704 T^{3} + 4038554850286616955 T^{4} +$$$$53\!\cdots\!00$$$$T^{5} +$$$$36\!\cdots\!99$$$$T^{6}$$)($$1 - 104700 T + 5648926545 T^{2} - 186671780921704 T^{3} + 4038554850286616955 T^{4} -$$$$53\!\cdots\!00$$$$T^{5} +$$$$36\!\cdots\!99$$$$T^{6}$$)($$( 1 + 714924299 T^{2} )^{2}$$)($$( 1 + 714924299 T^{2} )^{2}$$)($$( 1 + 1174955206 T^{2} + 511116753300641401 T^{4} )^{2}$$)($$( 1 - 238252874 T^{2} + 511116753300641401 T^{4} )^{2}$$)($$( 1 + 2247448220 T^{2} + 2255665372531483254 T^{4} +$$$$11\!\cdots\!20$$$$T^{6} +$$$$26\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 + 2113634708 T^{2} + 2085356609015928918 T^{4} +$$$$10\!\cdots\!08$$$$T^{6} +$$$$26\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 + 1757282430 T^{2} + 727073932782407703 T^{4} -$$$$33\!\cdots\!40$$$$T^{6} +$$$$37\!\cdots\!03$$$$T^{8} +$$$$45\!\cdots\!30$$$$T^{10} +$$$$13\!\cdots\!01$$$$T^{12} )^{2}$$)($$1 - 21966 T - 1047077995 T^{2} - 2190769191198 T^{3} + 1483553202105261756 T^{4} -$$$$15\!\cdots\!02$$$$T^{5} -$$$$53\!\cdots\!95$$$$T^{6} -$$$$80\!\cdots\!34$$$$T^{7} +$$$$26\!\cdots\!01$$$$T^{8}$$)($$1 - 62955 T + 1128633393 T^{2} - 9982647295866 T^{3} + 705724247444789571 T^{4} -$$$$15\!\cdots\!79$$$$T^{5} +$$$$56\!\cdots\!06$$$$T^{6} -$$$$11\!\cdots\!21$$$$T^{7} +$$$$36\!\cdots\!71$$$$T^{8} -$$$$36\!\cdots\!34$$$$T^{9} +$$$$29\!\cdots\!93$$$$T^{10} -$$$$11\!\cdots\!45$$$$T^{11} +$$$$13\!\cdots\!01$$$$T^{12}$$)($$1 - 2076 T - 2248193858 T^{2} + 15695201332392 T^{3} + 2863253985413117089 T^{4} -$$$$21\!\cdots\!96$$$$T^{5} -$$$$25\!\cdots\!86$$$$T^{6} +$$$$73\!\cdots\!56$$$$T^{7} +$$$$18\!\cdots\!76$$$$T^{8} +$$$$52\!\cdots\!44$$$$T^{9} -$$$$12\!\cdots\!86$$$$T^{10} -$$$$77\!\cdots\!04$$$$T^{11} +$$$$74\!\cdots\!89$$$$T^{12} +$$$$29\!\cdots\!08$$$$T^{13} -$$$$30\!\cdots\!58$$$$T^{14} -$$$$19\!\cdots\!24$$$$T^{15} +$$$$68\!\cdots\!01$$$$T^{16}$$)($$1 + 90537 T + 2831117840 T^{2} + 13805150996349 T^{3} - 966660594685472478 T^{4} -$$$$10\!\cdots\!09$$$$T^{5} +$$$$69\!\cdots\!78$$$$T^{6} +$$$$39\!\cdots\!93$$$$T^{7} +$$$$84\!\cdots\!01$$$$T^{8} -$$$$17\!\cdots\!74$$$$T^{9} -$$$$12\!\cdots\!20$$$$T^{10} -$$$$12\!\cdots\!26$$$$T^{11} +$$$$42\!\cdots\!01$$$$T^{12} +$$$$14\!\cdots\!07$$$$T^{13} +$$$$18\!\cdots\!78$$$$T^{14} -$$$$19\!\cdots\!91$$$$T^{15} -$$$$12\!\cdots\!78$$$$T^{16} +$$$$13\!\cdots\!51$$$$T^{17} +$$$$19\!\cdots\!40$$$$T^{18} +$$$$44\!\cdots\!63$$$$T^{19} +$$$$34\!\cdots\!01$$$$T^{20}$$)($$1 + 46241 T + 243574211 T^{2} + 61572307402616 T^{3} + 2814190939651890498 T^{4} -$$$$37\!\cdots\!42$$$$T^{5} +$$$$18\!\cdots\!11$$$$T^{6} +$$$$96\!\cdots\!49$$$$T^{7} -$$$$46\!\cdots\!68$$$$T^{8} +$$$$41\!\cdots\!49$$$$T^{9} +$$$$20\!\cdots\!33$$$$T^{10} -$$$$21\!\cdots\!78$$$$T^{11} +$$$$88\!\cdots\!93$$$$T^{12} +$$$$32\!\cdots\!11$$$$T^{13} -$$$$49\!\cdots\!54$$$$T^{14} +$$$$23\!\cdots\!89$$$$T^{15} +$$$$45\!\cdots\!93$$$$T^{16} -$$$$78\!\cdots\!22$$$$T^{17} +$$$$54\!\cdots\!33$$$$T^{18} +$$$$77\!\cdots\!51$$$$T^{19} -$$$$62\!\cdots\!68$$$$T^{20} +$$$$92\!\cdots\!51$$$$T^{21} +$$$$12\!\cdots\!11$$$$T^{22} -$$$$18\!\cdots\!58$$$$T^{23} +$$$$98\!\cdots\!98$$$$T^{24} +$$$$15\!\cdots\!84$$$$T^{25} +$$$$43\!\cdots\!11$$$$T^{26} +$$$$58\!\cdots\!59$$$$T^{27} +$$$$91\!\cdots\!01$$$$T^{28}$$)($$1 + 5252 T - 3858271396 T^{2} - 10135261277120 T^{3} + 7800958924504670150 T^{4} +$$$$52\!\cdots\!36$$$$T^{5} -$$$$10\!\cdots\!40$$$$T^{6} +$$$$63\!\cdots\!24$$$$T^{7} +$$$$11\!\cdots\!89$$$$T^{8} -$$$$15\!\cdots\!68$$$$T^{9} -$$$$10\!\cdots\!96$$$$T^{10} +$$$$16\!\cdots\!36$$$$T^{11} +$$$$79\!\cdots\!46$$$$T^{12} -$$$$11\!\cdots\!36$$$$T^{13} -$$$$55\!\cdots\!28$$$$T^{14} +$$$$33\!\cdots\!52$$$$T^{15} +$$$$38\!\cdots\!20$$$$T^{16} +$$$$23\!\cdots\!48$$$$T^{17} -$$$$28\!\cdots\!28$$$$T^{18} -$$$$41\!\cdots\!64$$$$T^{19} +$$$$20\!\cdots\!46$$$$T^{20} +$$$$30\!\cdots\!64$$$$T^{21} -$$$$13\!\cdots\!96$$$$T^{22} -$$$$14\!\cdots\!32$$$$T^{23} +$$$$80\!\cdots\!89$$$$T^{24} +$$$$31\!\cdots\!76$$$$T^{25} -$$$$38\!\cdots\!40$$$$T^{26} +$$$$13\!\cdots\!64$$$$T^{27} +$$$$13\!\cdots\!50$$$$T^{28} -$$$$12\!\cdots\!80$$$$T^{29} -$$$$35\!\cdots\!96$$$$T^{30} +$$$$34\!\cdots\!48$$$$T^{31} +$$$$46\!\cdots\!01$$$$T^{32}$$)($$1 + 13308 T - 5035707281 T^{2} - 63321413127324 T^{3} + 13095920403996879118 T^{4} +$$$$15\!\cdots\!48$$$$T^{5} -$$$$24\!\cdots\!27$$$$T^{6} -$$$$26\!\cdots\!76$$$$T^{7} +$$$$35\!\cdots\!38$$$$T^{8} +$$$$35\!\cdots\!48$$$$T^{9} -$$$$43\!\cdots\!79$$$$T^{10} -$$$$38\!\cdots\!16$$$$T^{11} +$$$$46\!\cdots\!68$$$$T^{12} +$$$$34\!\cdots\!48$$$$T^{13} -$$$$45\!\cdots\!31$$$$T^{14} -$$$$24\!\cdots\!88$$$$T^{15} +$$$$39\!\cdots\!97$$$$T^{16} +$$$$13\!\cdots\!92$$$$T^{17} -$$$$31\!\cdots\!62$$$$T^{18} -$$$$35\!\cdots\!24$$$$T^{19} +$$$$23\!\cdots\!04$$$$T^{20} -$$$$25\!\cdots\!76$$$$T^{21} -$$$$16\!\cdots\!62$$$$T^{22} +$$$$49\!\cdots\!08$$$$T^{23} +$$$$10\!\cdots\!97$$$$T^{24} -$$$$46\!\cdots\!12$$$$T^{25} -$$$$60\!\cdots\!31$$$$T^{26} +$$$$32\!\cdots\!52$$$$T^{27} +$$$$31\!\cdots\!68$$$$T^{28} -$$$$18\!\cdots\!84$$$$T^{29} -$$$$15\!\cdots\!79$$$$T^{30} +$$$$87\!\cdots\!52$$$$T^{31} +$$$$62\!\cdots\!38$$$$T^{32} -$$$$33\!\cdots\!24$$$$T^{33} -$$$$21\!\cdots\!27$$$$T^{34} +$$$$10\!\cdots\!52$$$$T^{35} +$$$$60\!\cdots\!18$$$$T^{36} -$$$$21\!\cdots\!76$$$$T^{37} -$$$$11\!\cdots\!81$$$$T^{38} +$$$$22\!\cdots\!92$$$$T^{39} +$$$$12\!\cdots\!01$$$$T^{40}$$)($$1 - 13308 T - 5035707281 T^{2} + 63321413127324 T^{3} + 13095920403996879118 T^{4} -$$$$15\!\cdots\!48$$$$T^{5} -$$$$24\!\cdots\!27$$$$T^{6} +$$$$26\!\cdots\!76$$$$T^{7} +$$$$35\!\cdots\!38$$$$T^{8} -$$$$35\!\cdots\!48$$$$T^{9} -$$$$43\!\cdots\!79$$$$T^{10} +$$$$38\!\cdots\!16$$$$T^{11} +$$$$46\!\cdots\!68$$$$T^{12} -$$$$34\!\cdots\!48$$$$T^{13} -$$$$45\!\cdots\!31$$$$T^{14} +$$$$24\!\cdots\!88$$$$T^{15} +$$$$39\!\cdots\!97$$$$T^{16} -$$$$13\!\cdots\!92$$$$T^{17} -$$$$31\!\cdots\!62$$$$T^{18} +$$$$35\!\cdots\!24$$$$T^{19} +$$$$23\!\cdots\!04$$$$T^{20} +$$$$25\!\cdots\!76$$$$T^{21} -$$$$16\!\cdots\!62$$$$T^{22} -$$$$49\!\cdots\!08$$$$T^{23} +$$$$10\!\cdots\!97$$$$T^{24} +$$$$46\!\cdots\!12$$$$T^{25} -$$$$60\!\cdots\!31$$$$T^{26} -$$$$32\!\cdots\!52$$$$T^{27} +$$$$31\!\cdots\!68$$$$T^{28} +$$$$18\!\cdots\!84$$$$T^{29} -$$$$15\!\cdots\!79$$$$T^{30} -$$$$87\!\cdots\!52$$$$T^{31} +$$$$62\!\cdots\!38$$$$T^{32} +$$$$33\!\cdots\!24$$$$T^{33} -$$$$21\!\cdots\!27$$$$T^{34} -$$$$10\!\cdots\!52$$$$T^{35} +$$$$60\!\cdots\!18$$$$T^{36} +$$$$21\!\cdots\!76$$$$T^{37} -$$$$11\!\cdots\!81$$$$T^{38} -$$$$22\!\cdots\!92$$$$T^{39} +$$$$12\!\cdots\!01$$$$T^{40}$$)($$1 - 1158955247 T^{2} - 1628128517800306622 T^{4} +$$$$13\!\cdots\!95$$$$T^{6} +$$$$27\!\cdots\!54$$$$T^{8} -$$$$14\!\cdots\!93$$$$T^{10} -$$$$26\!\cdots\!08$$$$T^{12} +$$$$65\!\cdots\!43$$$$T^{14} +$$$$22\!\cdots\!01$$$$T^{16} -$$$$20\!\cdots\!94$$$$T^{18} -$$$$12\!\cdots\!60$$$$T^{20} -$$$$10\!\cdots\!94$$$$T^{22} +$$$$57\!\cdots\!01$$$$T^{24} +$$$$87\!\cdots\!43$$$$T^{26} -$$$$18\!\cdots\!08$$$$T^{28} -$$$$51\!\cdots\!93$$$$T^{30} +$$$$49\!\cdots\!54$$$$T^{32} +$$$$12\!\cdots\!95$$$$T^{34} -$$$$75\!\cdots\!22$$$$T^{36} -$$$$27\!\cdots\!47$$$$T^{38} +$$$$12\!\cdots\!01$$$$T^{40}$$)
$61$ ($$1 + 17833 T + 844596301 T^{2}$$)($$1 - 36248 T + 844596301 T^{2}$$)($$1 + 2552 T + 844596301 T^{2}$$)($$1 + 22045 T + 844596301 T^{2}$$)($$1 - 56927 T + 844596301 T^{2}$$)($$1 + 18301 T + 844596301 T^{2}$$)($$1 + 22045 T + 844596301 T^{2}$$)($$1 + 2552 T + 844596301 T^{2}$$)($$1 - 36248 T + 844596301 T^{2}$$)($$1 + 17833 T + 844596301 T^{2}$$)($$1 + 49904 T + 2108747994 T^{2} + 42148733805104 T^{3} + 713342911662882601 T^{4}$$)($$1 - 96224 T + 3914340186 T^{2} - 81270434467424 T^{3} + 713342911662882601 T^{4}$$)($$1 + 11770 T + 1507312467 T^{2} + 9940898462770 T^{3} + 713342911662882601 T^{4}$$)($$1 + 57856 T + 2525901402 T^{2} + 48864963590656 T^{3} + 713342911662882601 T^{4}$$)($$( 1 + 7393 T + 844596301 T^{2} )^{2}$$)($$( 1 + 1069 T + 844596301 T^{2} )^{2}$$)($$1 - 8176 T - 15702054 T^{2} - 6905419356976 T^{3} + 713342911662882601 T^{4}$$)($$1 - 8176 T - 15702054 T^{2} - 6905419356976 T^{3} + 713342911662882601 T^{4}$$)($$1 + 57856 T + 2525901402 T^{2} + 48864963590656 T^{3} + 713342911662882601 T^{4}$$)($$1 + 11770 T + 1507312467 T^{2} + 9940898462770 T^{3} + 713342911662882601 T^{4}$$)($$1 - 96224 T + 3914340186 T^{2} - 81270434467424 T^{3} + 713342911662882601 T^{4}$$)($$1 + 49904 T + 2108747994 T^{2} + 42148733805104 T^{3} + 713342911662882601 T^{4}$$)($$1 - 35073 T + 2883014802 T^{2} - 60038505010861 T^{3} + 2434983637497447402 T^{4} -$$$$25\!\cdots\!73$$$$T^{5} +$$$$60\!\cdots\!01$$$$T^{6}$$)($$1 - 35073 T + 2883014802 T^{2} - 60038505010861 T^{3} + 2434983637497447402 T^{4} -$$$$25\!\cdots\!73$$$$T^{5} +$$$$60\!\cdots\!01$$$$T^{6}$$)($$( 1 - 56927 T + 844596301 T^{2} )^{2}$$)($$( 1 + 18301 T + 844596301 T^{2} )^{2}$$)($$( 1 - 16799 T + 844596301 T^{2} )^{4}$$)($$( 1 + 50173 T + 844596301 T^{2} )^{4}$$)($$( 1 - 35266 T + 1719105879 T^{2} - 29785533151066 T^{3} + 713342911662882601 T^{4} )^{4}$$)($$( 1 - 13528 T + 1487667498 T^{2} - 11425698759928 T^{3} + 713342911662882601 T^{4} )^{4}$$)($$( 1 - 26484 T + 1680705303 T^{2} - 30443152685960 T^{3} + 1419517481984884203 T^{4} -$$$$18\!\cdots\!84$$$$T^{5} +$$$$60\!\cdots\!01$$$$T^{6} )^{4}$$)($$1 - 3050 T - 1573942703 T^{2} + 323139566950 T^{3} + 1785465604069576108 T^{4} +$$$$27\!\cdots\!50$$$$T^{5} -$$$$11\!\cdots\!03$$$$T^{6} -$$$$18\!\cdots\!50$$$$T^{7} +$$$$50\!\cdots\!01$$$$T^{8}$$)($$1 + 75966 T + 1651965492 T^{2} + 45532183560440 T^{3} + 3331090328104364760 T^{4} +$$$$76\!\cdots\!06$$$$T^{5} +$$$$63\!\cdots\!14$$$$T^{6} +$$$$64\!\cdots\!06$$$$T^{7} +$$$$23\!\cdots\!60$$$$T^{8} +$$$$27\!\cdots\!40$$$$T^{9} +$$$$84\!\cdots\!92$$$$T^{10} +$$$$32\!\cdots\!66$$$$T^{11} +$$$$36\!\cdots\!01$$$$T^{12}$$)($$1 - 48142 T - 755431725 T^{2} + 43590251951830 T^{3} + 1116615498545065565 T^{4} -$$$$17\!\cdots\!08$$$$T^{5} -$$$$17\!\cdots\!86$$$$T^{6} +$$$$66\!\cdots\!20$$$$T^{7} +$$$$16\!\cdots\!34$$$$T^{8} +$$$$56\!\cdots\!20$$$$T^{9} -$$$$12\!\cdots\!86$$$$T^{10} -$$$$10\!\cdots\!08$$$$T^{11} +$$$$56\!\cdots\!65$$$$T^{12} +$$$$18\!\cdots\!30$$$$T^{13} -$$$$27\!\cdots\!25$$$$T^{14} -$$$$14\!\cdots\!42$$$$T^{15} +$$$$25\!\cdots\!01$$$$T^{16}$$)($$1 - 1403 T - 3536905883 T^{2} - 452840008146 T^{3} + 7065863261737144698 T^{4} +$$$$54\!\cdots\!90$$$$T^{5} -$$$$10\!\cdots\!33$$$$T^{6} -$$$$70\!\cdots\!89$$$$T^{7} +$$$$11\!\cdots\!67$$$$T^{8} +$$$$32\!\cdots\!04$$$$T^{9} -$$$$10\!\cdots\!12$$$$T^{10} +$$$$27\!\cdots\!04$$$$T^{11} +$$$$80\!\cdots\!67$$$$T^{12} -$$$$42\!\cdots\!89$$$$T^{13} -$$$$51\!\cdots\!33$$$$T^{14} +$$$$23\!\cdots\!90$$$$T^{15} +$$$$25\!\cdots\!98$$$$T^{16} -$$$$13\!\cdots\!46$$$$T^{17} -$$$$91\!\cdots\!83$$$$T^{18} -$$$$30\!\cdots\!03$$$$T^{19} +$$$$18\!\cdots\!01$$$$T^{20}$$)($$1 - 52097 T + 863578572 T^{2} + 1263331168971 T^{3} - 2127122959172469747 T^{4} +$$$$11\!\cdots\!84$$$$T^{5} -$$$$25\!\cdots\!08$$$$T^{6} +$$$$32\!\cdots\!76$$$$T^{7} +$$$$19\!\cdots\!80$$$$T^{8} -$$$$13\!\cdots\!64$$$$T^{9} +$$$$37\!\cdots\!40$$$$T^{10} -$$$$73\!\cdots\!96$$$$T^{11} -$$$$62\!\cdots\!66$$$$T^{12} +$$$$98\!\cdots\!54$$$$T^{13} -$$$$34\!\cdots\!84$$$$T^{14} +$$$$82\!\cdots\!54$$$$T^{15} -$$$$44\!\cdots\!66$$$$T^{16} -$$$$44\!\cdots\!96$$$$T^{17} +$$$$19\!\cdots\!40$$$$T^{18} -$$$$56\!\cdots\!64$$$$T^{19} +$$$$69\!\cdots\!80$$$$T^{20} +$$$$99\!\cdots\!76$$$$T^{21} -$$$$65\!\cdots\!08$$$$T^{22} +$$$$24\!\cdots\!84$$$$T^{23} -$$$$39\!\cdots\!47$$$$T^{24} +$$$$19\!\cdots\!71$$$$T^{25} +$$$$11\!\cdots\!72$$$$T^{26} -$$$$57\!\cdots\!97$$$$T^{27} +$$$$93\!\cdots\!01$$$$T^{28}$$)($$1 + 28727 T - 3368554313 T^{2} - 158770267526528 T^{3} + 4307631856591137578 T^{4} +$$$$35\!\cdots\!96$$$$T^{5} -$$$$12\!\cdots\!85$$$$T^{6} -$$$$45\!\cdots\!13$$$$T^{7} -$$$$31\!\cdots\!19$$$$T^{8} +$$$$42\!\cdots\!32$$$$T^{9} +$$$$54\!\cdots\!40$$$$T^{10} -$$$$33\!\cdots\!68$$$$T^{11} -$$$$66\!\cdots\!14$$$$T^{12} +$$$$23\!\cdots\!30$$$$T^{13} +$$$$79\!\cdots\!66$$$$T^{14} -$$$$80\!\cdots\!56$$$$T^{15} -$$$$78\!\cdots\!12$$$$T^{16} -$$$$68\!\cdots\!56$$$$T^{17} +$$$$56\!\cdots\!66$$$$T^{18} +$$$$13\!\cdots\!30$$$$T^{19} -$$$$33\!\cdots\!14$$$$T^{20} -$$$$14\!\cdots\!68$$$$T^{21} +$$$$19\!\cdots\!40$$$$T^{22} +$$$$12\!\cdots\!32$$$$T^{23} -$$$$82\!\cdots\!19$$$$T^{24} -$$$$99\!\cdots\!13$$$$T^{25} -$$$$23\!\cdots\!85$$$$T^{26} +$$$$55\!\cdots\!96$$$$T^{27} +$$$$56\!\cdots\!78$$$$T^{28} -$$$$17\!\cdots\!28$$$$T^{29} -$$$$31\!\cdots\!13$$$$T^{30} +$$$$22\!\cdots\!27$$$$T^{31} +$$$$67\!\cdots\!01$$$$T^{32}$$)($$1 + 24773 T - 3495889158 T^{2} - 133177117674025 T^{3} + 4034592587238054895 T^{4} +$$$$26\!\cdots\!08$$$$T^{5} -$$$$67\!\cdots\!08$$$$T^{6} -$$$$25\!\cdots\!04$$$$T^{7} -$$$$86\!\cdots\!88$$$$T^{8} +$$$$15\!\cdots\!36$$$$T^{9} -$$$$26\!\cdots\!00$$$$T^{10} -$$$$19\!\cdots\!64$$$$T^{11} +$$$$40\!\cdots\!69$$$$T^{12} +$$$$28\!\cdots\!61$$$$T^{13} +$$$$24\!\cdots\!86$$$$T^{14} -$$$$20\!\cdots\!57$$$$T^{15} -$$$$28\!\cdots\!13$$$$T^{16} +$$$$18\!\cdots\!24$$$$T^{17} -$$$$43\!\cdots\!00$$$$T^{18} +$$$$26\!\cdots\!92$$$$T^{19} +$$$$20\!\cdots\!44$$$$T^{20} +$$$$22\!\cdots\!92$$$$T^{21} -$$$$31\!\cdots\!00$$$$T^{22} +$$$$10\!\cdots\!24$$$$T^{23} -$$$$14\!\cdots\!13$$$$T^{24} -$$$$86\!\cdots\!57$$$$T^{25} +$$$$89\!\cdots\!86$$$$T^{26} +$$$$88\!\cdots\!61$$$$T^{27} +$$$$10\!\cdots\!69$$$$T^{28} -$$$$43\!\cdots\!64$$$$T^{29} -$$$$48\!\cdots\!00$$$$T^{30} +$$$$24\!\cdots\!36$$$$T^{31} -$$$$11\!\cdots\!88$$$$T^{32} -$$$$28\!\cdots\!04$$$$T^{33} -$$$$63\!\cdots\!08$$$$T^{34} +$$$$21\!\cdots\!08$$$$T^{35} +$$$$27\!\cdots\!95$$$$T^{36} -$$$$75\!\cdots\!25$$$$T^{37} -$$$$16\!\cdots\!58$$$$T^{38} +$$$$10\!\cdots\!73$$$$T^{39} +$$$$34\!\cdots\!01$$$$T^{40}$$)($$1 + 24773 T - 3495889158 T^{2} - 133177117674025 T^{3} + 4034592587238054895 T^{4} +$$$$26\!\cdots\!08$$$$T^{5} -$$$$67\!\cdots\!08$$$$T^{6} -$$$$25\!\cdots\!04$$$$T^{7} -$$$$86\!\cdots\!88$$$$T^{8} +$$$$15\!\cdots\!36$$$$T^{9} -$$$$26\!\cdots\!00$$$$T^{10} -$$$$19\!\cdots\!64$$$$T^{11} +$$$$40\!\cdots\!69$$$$T^{12} +$$$$28\!\cdots\!61$$$$T^{13} +$$$$24\!\cdots\!86$$$$T^{14} -$$$$20\!\cdots\!57$$$$T^{15} -$$$$28\!\cdots\!13$$$$T^{16} +$$$$18\!\cdots\!24$$$$T^{17} -$$$$43\!\cdots\!00$$$$T^{18} +$$$$26\!\cdots\!92$$$$T^{19} +$$$$20\!\cdots\!44$$$$T^{20} +$$$$22\!\cdots\!92$$$$T^{21} -$$$$31\!\cdots\!00$$$$T^{22} +$$$$10\!\cdots\!24$$$$T^{23} -$$$$14\!\cdots\!13$$$$T^{24} -$$$$86\!\cdots\!57$$$$T^{25} +$$$$89\!\cdots\!86$$$$T^{26} +$$$$88\!\cdots\!61$$$$T^{27} +$$$$10\!\cdots\!69$$$$T^{28} -$$$$43\!\cdots\!64$$$$T^{29} -$$$$48\!\cdots\!00$$$$T^{30} +$$$$24\!\cdots\!36$$$$T^{31} -$$$$11\!\cdots\!88$$$$T^{32} -$$$$28\!\cdots\!04$$$$T^{33} -$$$$63\!\cdots\!08$$$$T^{34} +$$$$21\!\cdots\!08$$$$T^{35} +$$$$27\!\cdots\!95$$$$T^{36} -$$$$75\!\cdots\!25$$$$T^{37} -$$$$16\!\cdots\!58$$$$T^{38} +$$$$10\!\cdots\!73$$$$T^{39} +$$$$34\!\cdots\!01$$$$T^{40}$$)($$( 1 - 24773 T - 2212436183 T^{2} + 74194250614734 T^{3} + 1948390289140879218 T^{4} -$$$$74\!\cdots\!26$$$$T^{5} -$$$$16\!\cdots\!41$$$$T^{6} +$$$$15\!\cdots\!65$$$$T^{7} +$$$$28\!\cdots\!47$$$$T^{8} +$$$$74\!\cdots\!28$$$$T^{9} -$$$$33\!\cdots\!04$$$$T^{10} +$$$$63\!\cdots\!28$$$$T^{11} +$$$$20\!\cdots\!47$$$$T^{12} +$$$$94\!\cdots\!65$$$$T^{13} -$$$$84\!\cdots\!41$$$$T^{14} -$$$$32\!\cdots\!26$$$$T^{15} +$$$$70\!\cdots\!18$$$$T^{16} +$$$$22\!\cdots\!34$$$$T^{17} -$$$$57\!\cdots\!83$$$$T^{18} -$$$$54\!\cdots\!73$$$$T^{19} +$$$$18\!\cdots\!01$$$$T^{20} )^{2}$$)
$67$ ($$1 - 67699 T + 1350125107 T^{2}$$)($$1 + 5174 T + 1350125107 T^{2}$$)($$1 + 16130 T + 1350125107 T^{2}$$)($$1 + 48131 T + 1350125107 T^{2}$$)($$1 - 37939 T + 1350125107 T^{2}$$)($$1 + 73475 T + 1350125107 T^{2}$$)($$1 + 48131 T + 1350125107 T^{2}$$)($$1 + 16130 T + 1350125107 T^{2}$$)($$1 + 5174 T + 1350125107 T^{2}$$)($$1 - 67699 T + 1350125107 T^{2}$$)($$1 - 42176 T + 2044405986 T^{2} - 56942876512832 T^{3} + 1822837804551761449 T^{4}$$)($$1 + 80020 T + 3884800314 T^{2} + 108037011062140 T^{3} + 1822837804551761449 T^{4}$$)($$1 + 34522 T + 2997408975 T^{2} + 46609018943854 T^{3} + 1822837804551761449 T^{4}$$)($$1 - 74168 T + 4013167026 T^{2} - 100136078935976 T^{3} + 1822837804551761449 T^{4}$$)($$( 1 + 38861 T + 1350125107 T^{2} )^{2}$$)($$( 1 - 62077 T + 1350125107 T^{2} )^{2}$$)($$1 + 90064 T + 4055628738 T^{2} + 121597667636848 T^{3} + 1822837804551761449 T^{4}$$)($$1 + 90064 T + 4055628738 T^{2} + 121597667636848 T^{3} + 1822837804551761449 T^{4}$$)($$1 - 74168 T + 4013167026 T^{2} - 100136078935976 T^{3} + 1822837804551761449 T^{4}$$)($$1 + 34522 T + 2997408975 T^{2} + 46609018943854 T^{3} + 1822837804551761449 T^{4}$$)($$1 + 80020 T + 3884800314 T^{2} + 108037011062140 T^{3} + 1822837804551761449 T^{4}$$)($$1 - 42176 T + 2044405986 T^{2} - 56942876512832 T^{3} + 1822837804551761449 T^{4}$$)($$1 - 67191 T + 4032719796 T^{2} - 148762789847503 T^{3} + 5444676246075518172 T^{4} -$$$$12\!\cdots\!59$$$$T^{5} +$$$$24\!\cdots\!43$$$$T^{6}$$)($$1 - 67191 T + 4032719796 T^{2} - 148762789847503 T^{3} + 5444676246075518172 T^{4} -$$$$12\!\cdots\!59$$$$T^{5} +$$$$24\!\cdots\!43$$$$T^{6}$$)($$( 1 - 37939 T + 1350125107 T^{2} )( 1 + 37939 T + 1350125107 T^{2} )$$)($$( 1 - 73475 T + 1350125107 T^{2} )( 1 + 73475 T + 1350125107 T^{2} )$$)($$( 1 + 925982653 T^{2} + 1822837804551761449 T^{4} )^{2}$$)($$( 1 - 2639148707 T^{2} + 1822837804551761449 T^{4} )^{2}$$)($$( 1 - 4835693542 T^{2} + 9411965615868194811 T^{4} -$$$$88\!\cdots\!58$$$$T^{6} +$$$$33\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 - 2811502612 T^{2} + 3994016808388548534 T^{4} -$$$$51\!\cdots\!88$$$$T^{6} +$$$$33\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 - 521332206 T^{2} + 121616412349667559 T^{4} -$$$$26\!\cdots\!96$$$$T^{6} +$$$$22\!\cdots\!91$$$$T^{8} -$$$$17\!\cdots\!06$$$$T^{10} +$$$$60\!\cdots\!49$$$$T^{12} )^{2}$$)($$1 + 36758 T - 1083763235 T^{2} - 9753235942570 T^{3} + 2281745104215240604 T^{4} -$$$$13\!\cdots\!90$$$$T^{5} -$$$$19\!\cdots\!15$$$$T^{6} +$$$$90\!\cdots\!94$$$$T^{7} +$$$$33\!\cdots\!01$$$$T^{8}$$)($$1 - 32991 T - 1801789179 T^{2} + 76747890991738 T^{3} + 1612255572283172571 T^{4} -$$$$51\!\cdots\!59$$$$T^{5} -$$$$93\!\cdots\!82$$$$T^{6} -$$$$69\!\cdots\!13$$$$T^{7} +$$$$29\!\cdots\!79$$$$T^{8} +$$$$18\!\cdots\!34$$$$T^{9} -$$$$59\!\cdots\!79$$$$T^{10} -$$$$14\!\cdots\!37$$$$T^{11} +$$$$60\!\cdots\!49$$$$T^{12}$$)($$1 - 7148 T - 3268771122 T^{2} + 16753922588168 T^{3} + 4825996342110423185 T^{4} -$$$$80\!\cdots\!92$$$$T^{5} -$$$$77\!\cdots\!58$$$$T^{6} -$$$$18\!\cdots\!60$$$$T^{7} +$$$$12\!\cdots\!20$$$$T^{8} -$$$$25\!\cdots\!20$$$$T^{9} -$$$$14\!\cdots\!42$$$$T^{10} -$$$$19\!\cdots\!56$$$$T^{11} +$$$$16\!\cdots\!85$$$$T^{12} +$$$$75\!\cdots\!76$$$$T^{13} -$$$$19\!\cdots\!78$$$$T^{14} -$$$$58\!\cdots\!64$$$$T^{15} +$$$$11\!\cdots\!01$$$$T^{16}$$)($$1 + 13907 T - 3876685544 T^{2} + 77425491657903 T^{3} + 10014688417385231130 T^{4} -$$$$30\!\cdots\!39$$$$T^{5} -$$$$79\!\cdots\!54$$$$T^{6} +$$$$69\!\cdots\!51$$$$T^{7} -$$$$33\!\cdots\!67$$$$T^{8} -$$$$37\!\cdots\!46$$$$T^{9} +$$$$22\!\cdots\!76$$$$T^{10} -$$$$51\!\cdots\!22$$$$T^{11} -$$$$60\!\cdots\!83$$$$T^{12} +$$$$16\!\cdots\!93$$$$T^{13} -$$$$26\!\cdots\!54$$$$T^{14} -$$$$13\!\cdots\!73$$$$T^{15} +$$$$60\!\cdots\!70$$$$T^{16} +$$$$63\!\cdots\!29$$$$T^{17} -$$$$42\!\cdots\!44$$$$T^{18} +$$$$20\!\cdots\!49$$$$T^{19} +$$$$20\!\cdots\!49$$$$T^{20}$$)($$1 + 65899 T - 2734869621 T^{2} - 160857140751480 T^{3} + 10983488420604054306 T^{4} +$$$$38\!\cdots\!26$$$$T^{5} -$$$$16\!\cdots\!29$$$$T^{6} -$$$$90\!\cdots\!73$$$$T^{7} +$$$$25\!\cdots\!88$$$$T^{8} -$$$$26\!\cdots\!89$$$$T^{9} +$$$$95\!\cdots\!41$$$$T^{10} +$$$$14\!\cdots\!98$$$$T^{11} -$$$$49\!\cdots\!87$$$$T^{12} -$$$$37\!\cdots\!23$$$$T^{13} +$$$$13\!\cdots\!66$$$$T^{14} -$$$$50\!\cdots\!61$$$$T^{15} -$$$$90\!\cdots\!63$$$$T^{16} +$$$$34\!\cdots\!14$$$$T^{17} +$$$$31\!\cdots\!41$$$$T^{18} -$$$$11\!\cdots\!23$$$$T^{19} +$$$$15\!\cdots\!12$$$$T^{20} -$$$$74\!\cdots\!39$$$$T^{21} -$$$$18\!\cdots\!29$$$$T^{22} +$$$$57\!\cdots\!82$$$$T^{23} +$$$$22\!\cdots\!94$$$$T^{24} -$$$$43\!\cdots\!40$$$$T^{25} -$$$$10\!\cdots\!21$$$$T^{26} +$$$$32\!\cdots\!93$$$$T^{27} +$$$$66\!\cdots\!49$$$$T^{28}$$)($$1 - 76426 T - 596311166 T^{2} + 99165605625028 T^{3} + 5511021538454671736 T^{4} -$$$$28\!\cdots\!26$$$$T^{5} -$$$$57\!\cdots\!92$$$$T^{6} +$$$$15\!\cdots\!34$$$$T^{7} +$$$$14\!\cdots\!59$$$$T^{8} -$$$$20\!\cdots\!70$$$$T^{9} -$$$$17\!\cdots\!80$$$$T^{10} +$$$$20\!\cdots\!14$$$$T^{11} +$$$$11\!\cdots\!80$$$$T^{12} +$$$$13\!\cdots\!96$$$$T^{13} -$$$$21\!\cdots\!78$$$$T^{14} +$$$$48\!\cdots\!02$$$$T^{15} -$$$$86\!\cdots\!24$$$$T^{16} +$$$$65\!\cdots\!14$$$$T^{17} -$$$$39\!\cdots\!22$$$$T^{18} +$$$$33\!\cdots\!28$$$$T^{19} +$$$$38\!\cdots\!80$$$$T^{20} +$$$$90\!\cdots\!98$$$$T^{21} -$$$$10\!\cdots\!20$$$$T^{22} -$$$$17\!\cdots\!10$$$$T^{23} +$$$$16\!\cdots\!59$$$$T^{24} +$$$$23\!\cdots\!38$$$$T^{25} -$$$$11\!\cdots\!08$$$$T^{26} -$$$$76\!\cdots\!18$$$$T^{27} +$$$$20\!\cdots\!36$$$$T^{28} +$$$$49\!\cdots\!96$$$$T^{29} -$$$$39\!\cdots\!34$$$$T^{30} -$$$$69\!\cdots\!18$$$$T^{31} +$$$$12\!\cdots\!01$$$$T^{32}$$)($$1 - 6402 T + 8094300733 T^{2} - 51732250013730 T^{3} + 33137097601648014562 T^{4} -$$$$85\!\cdots\!26$$$$T^{5} +$$$$90\!\cdots\!83$$$$T^{6} +$$$$23\!\cdots\!78$$$$T^{7} +$$$$18\!\cdots\!14$$$$T^{8} +$$$$13\!\cdots\!86$$$$T^{9} +$$$$31\!\cdots\!47$$$$T^{10} +$$$$27\!\cdots\!18$$$$T^{11} +$$$$47\!\cdots\!24$$$$T^{12} +$$$$29\!\cdots\!86$$$$T^{13} +$$$$60\!\cdots\!51$$$$T^{14} +$$$$40\!\cdots\!34$$$$T^{15} +$$$$65\!\cdots\!17$$$$T^{16} -$$$$39\!\cdots\!80$$$$T^{17} +$$$$58\!\cdots\!74$$$$T^{18} -$$$$82\!\cdots\!64$$$$T^{19} +$$$$59\!\cdots\!64$$$$T^{20} -$$$$11\!\cdots\!48$$$$T^{21} +$$$$10\!\cdots\!26$$$$T^{22} -$$$$97\!\cdots\!40$$$$T^{23} +$$$$21\!\cdots\!17$$$$T^{24} +$$$$18\!\cdots\!38$$$$T^{25} +$$$$36\!\cdots\!99$$$$T^{26} +$$$$23\!\cdots\!98$$$$T^{27} +$$$$52\!\cdots\!24$$$$T^{28} +$$$$41\!\cdots\!26$$$$T^{29} +$$$$64\!\cdots\!03$$$$T^{30} +$$$$36\!\cdots\!98$$$$T^{31} +$$$$68\!\cdots\!14$$$$T^{32} +$$$$11\!\cdots\!46$$$$T^{33} +$$$$60\!\cdots\!67$$$$T^{34} -$$$$77\!\cdots\!18$$$$T^{35} +$$$$40\!\cdots\!62$$$$T^{36} -$$$$85\!\cdots\!10$$$$T^{37} +$$$$17\!\cdots\!17$$$$T^{38} -$$$$19\!\cdots\!86$$$$T^{39} +$$$$40\!\cdots\!01$$$$T^{40}$$)($$1 + 6402 T + 8094300733 T^{2} + 51732250013730 T^{3} + 33137097601648014562 T^{4} +$$$$85\!\cdots\!26$$$$T^{5} +$$$$90\!\cdots\!83$$$$T^{6} -$$$$23\!\cdots\!78$$$$T^{7} +$$$$18\!\cdots\!14$$$$T^{8} -$$$$13\!\cdots\!86$$$$T^{9} +$$$$31\!\cdots\!47$$$$T^{10} -$$$$27\!\cdots\!18$$$$T^{11} +$$$$47\!\cdots\!24$$$$T^{12} -$$$$29\!\cdots\!86$$$$T^{13} +$$$$60\!\cdots\!51$$$$T^{14} -$$$$40\!\cdots\!34$$$$T^{15} +$$$$65\!\cdots\!17$$$$T^{16} +$$$$39\!\cdots\!80$$$$T^{17} +$$$$58\!\cdots\!74$$$$T^{18} +$$$$82\!\cdots\!64$$$$T^{19} +$$$$59\!\cdots\!64$$$$T^{20} +$$$$11\!\cdots\!48$$$$T^{21} +$$$$10\!\cdots\!26$$$$T^{22} +$$$$97\!\cdots\!40$$$$T^{23} +$$$$21\!\cdots\!17$$$$T^{24} -$$$$18\!\cdots\!38$$$$T^{25} +$$$$36\!\cdots\!99$$$$T^{26} -$$$$23\!\cdots\!98$$$$T^{27} +$$$$52\!\cdots\!24$$$$T^{28} -$$$$41\!\cdots\!26$$$$T^{29} +$$$$64\!\cdots\!03$$$$T^{30} -$$$$36\!\cdots\!98$$$$T^{31} +$$$$68\!\cdots\!14$$$$T^{32} -$$$$11\!\cdots\!46$$$$T^{33} +$$$$60\!\cdots\!67$$$$T^{34} +$$$$77\!\cdots\!18$$$$T^{35} +$$$$40\!\cdots\!62$$$$T^{36} +$$$$85\!\cdots\!10$$$$T^{37} +$$$$17\!\cdots\!17$$$$T^{38} +$$$$19\!\cdots\!86$$$$T^{39} +$$$$40\!\cdots\!01$$$$T^{40}$$)($$1 + 4176634993 T^{2} + 7993997457296709010 T^{4} +$$$$78\!\cdots\!47$$$$T^{6} +$$$$14\!\cdots\!54$$$$T^{8} -$$$$39\!\cdots\!41$$$$T^{10} +$$$$50\!\cdots\!60$$$$T^{12} +$$$$25\!\cdots\!51$$$$T^{14} +$$$$30\!\cdots\!81$$$$T^{16} +$$$$71\!\cdots\!34$$$$T^{18} -$$$$17\!\cdots\!00$$$$T^{20} +$$$$13\!\cdots\!66$$$$T^{22} +$$$$10\!\cdots\!81$$$$T^{24} +$$$$15\!\cdots\!99$$$$T^{26} +$$$$55\!\cdots\!60$$$$T^{28} -$$$$80\!\cdots\!09$$$$T^{30} +$$$$51\!\cdots\!54$$$$T^{32} +$$$$52\!\cdots\!03$$$$T^{34} +$$$$97\!\cdots\!10$$$$T^{36} +$$$$92\!\cdots\!57$$$$T^{38} +$$$$40\!\cdots\!01$$$$T^{40}$$)
$71$ ($$1 - 28152 T + 1804229351 T^{2}$$)($$1 - 63720 T + 1804229351 T^{2}$$)($$1 + 65816 T + 1804229351 T^{2}$$)($$1 - 51120 T + 1804229351 T^{2}$$)($$1 + 1804229351 T^{2}$$)($$1 + 1804229351 T^{2}$$)($$1 + 51120 T + 1804229351 T^{2}$$)($$1 - 65816 T + 1804229351 T^{2}$$)($$1 + 63720 T + 1804229351 T^{2}$$)($$1 + 28152 T + 1804229351 T^{2}$$)($$1 + 43848 T + 3234080590 T^{2} + 79111848582648 T^{3} + 3255243551009881201 T^{4}$$)($$1 + 120296 T + 7024602446 T^{2} + 217041574007896 T^{3} + 3255243551009881201 T^{4}$$)($$1 - 103016 T + 6203258126 T^{2} - 185864490822616 T^{3} + 3255243551009881201 T^{4}$$)($$1 - 58768 T + 3739461902 T^{2} - 106030950499568 T^{3} + 3255243551009881201 T^{4}$$)($$1 + 3602362318 T^{2} + 3255243551009881201 T^{4}$$)($$1 + 1457026126 T^{2} + 3255243551009881201 T^{4}$$)($$1 - 44712 T + 2046094414 T^{2} - 80670702741912 T^{3} + 3255243551009881201 T^{4}$$)($$1 + 44712 T + 2046094414 T^{2} + 80670702741912 T^{3} + 3255243551009881201 T^{4}$$)($$1 + 58768 T + 3739461902 T^{2} + 106030950499568 T^{3} + 3255243551009881201 T^{4}$$)($$1 + 103016 T + 6203258126 T^{2} + 185864490822616 T^{3} + 3255243551009881201 T^{4}$$)($$1 - 120296 T + 7024602446 T^{2} - 217041574007896 T^{3} + 3255243551009881201 T^{4}$$)($$1 - 43848 T + 3234080590 T^{2} - 79111848582648 T^{3} + 3255243551009881201 T^{4}$$)($$1 + 25656 T + 3852465525 T^{2} + 75504498903824 T^{3} + 6950731373920624275 T^{4} +$$$$83\!\cdots\!56$$$$T^{5} +$$$$58\!\cdots\!51$$$$T^{6}$$)($$1 - 25656 T + 3852465525 T^{2} - 75504498903824 T^{3} + 6950731373920624275 T^{4} -$$$$83\!\cdots\!56$$$$T^{5} +$$$$58\!\cdots\!51$$$$T^{6}$$)($$( 1 + 1804229351 T^{2} )^{2}$$)($$( 1 + 1804229351 T^{2} )^{2}$$)($$( 1 - 1525194290 T^{2} + 3255243551009881201 T^{4} )^{2}$$)($$( 1 - 1539156530 T^{2} + 3255243551009881201 T^{4} )^{2}$$)($$( 1 + 1322308508 T^{2} - 739522999078544730 T^{4} +$$$$43\!\cdots\!08$$$$T^{6} +$$$$10\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 + 3442017380 T^{2} + 6716169978545186214 T^{4} +$$$$11\!\cdots\!80$$$$T^{6} +$$$$10\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 + 6053409606 T^{2} + 20072295409738940511 T^{4} +$$$$42\!\cdots\!12$$$$T^{6} +$$$$65\!\cdots\!11$$$$T^{8} +$$$$64\!\cdots\!06$$$$T^{10} +$$$$34\!\cdots\!01$$$$T^{12} )^{2}$$)($$( 1 + 73848 T + 4273554814 T^{2} + 133238729112648 T^{3} + 3255243551009881201 T^{4} )^{2}$$)($$( 1 + 64836 T + 5330360517 T^{2} + 233818077065976 T^{3} + 9617192896182934467 T^{4} +$$$$21\!\cdots\!36$$$$T^{5} +$$$$58\!\cdots\!51$$$$T^{6} )^{2}$$)($$( 1 + 35928 T + 5285725772 T^{2} + 127659705990840 T^{3} + 12554595869440882758 T^{4} +$$$$23\!\cdots\!40$$$$T^{5} +$$$$17\!\cdots\!72$$$$T^{6} +$$$$21\!\cdots\!28$$$$T^{7} +$$$$10\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 - 114684 T + 7758380659 T^{2} - 426246123888336 T^{3} + 19260501229393543450 T^{4} -$$$$77\!\cdots\!40$$$$T^{5} +$$$$34\!\cdots\!50$$$$T^{6} -$$$$13\!\cdots\!36$$$$T^{7} +$$$$45\!\cdots\!09$$$$T^{8} -$$$$12\!\cdots\!84$$$$T^{9} +$$$$19\!\cdots\!51$$$$T^{10} )^{2}$$)($$( 1 - 19540 T + 3633668465 T^{2} - 12132114903560 T^{3} + 11913806947274641829 T^{4} -$$$$94\!\cdots\!48$$$$T^{5} +$$$$27\!\cdots\!29$$$$T^{6} -$$$$78\!\cdots\!40$$$$T^{7} +$$$$49\!\cdots\!79$$$$T^{8} -$$$$30\!\cdots\!48$$$$T^{9} +$$$$69\!\cdots\!79$$$$T^{10} -$$$$12\!\cdots\!60$$$$T^{11} +$$$$69\!\cdots\!15$$$$T^{12} -$$$$67\!\cdots\!40$$$$T^{13} +$$$$62\!\cdots\!51$$$$T^{14} )^{2}$$)($$( 1 - 28552 T + 12272552360 T^{2} - 340583707445064 T^{3} + 69214592054837903036 T^{4} -$$$$17\!\cdots\!16$$$$T^{5} +$$$$23\!\cdots\!48$$$$T^{6} -$$$$51\!\cdots\!56$$$$T^{7} +$$$$51\!\cdots\!30$$$$T^{8} -$$$$93\!\cdots\!56$$$$T^{9} +$$$$76\!\cdots\!48$$$$T^{10} -$$$$10\!\cdots\!16$$$$T^{11} +$$$$73\!\cdots\!36$$$$T^{12} -$$$$65\!\cdots\!64$$$$T^{13} +$$$$42\!\cdots\!60$$$$T^{14} -$$$$17\!\cdots\!52$$$$T^{15} +$$$$11\!\cdots\!01$$$$T^{16} )^{2}$$)($$( 1 - 21594 T + 10885767794 T^{2} - 181438427503854 T^{3} + 53818540569548075277 T^{4} -$$$$63\!\cdots\!00$$$$T^{5} +$$$$16\!\cdots\!08$$$$T^{6} -$$$$11\!\cdots\!76$$$$T^{7} +$$$$35\!\cdots\!38$$$$T^{8} -$$$$14\!\cdots\!60$$$$T^{9} +$$$$66\!\cdots\!96$$$$T^{10} -$$$$25\!\cdots\!60$$$$T^{11} +$$$$11\!\cdots\!38$$$$T^{12} -$$$$69\!\cdots\!76$$$$T^{13} +$$$$17\!\cdots\!08$$$$T^{14} -$$$$12\!\cdots\!00$$$$T^{15} +$$$$18\!\cdots\!77$$$$T^{16} -$$$$11\!\cdots\!54$$$$T^{17} +$$$$12\!\cdots\!94$$$$T^{18} -$$$$43\!\cdots\!94$$$$T^{19} +$$$$36\!\cdots\!01$$$$T^{20} )^{2}$$)($$( 1 + 21594 T + 10885767794 T^{2} + 181438427503854 T^{3} + 53818540569548075277 T^{4} +$$$$63\!\cdots\!00$$$$T^{5} +$$$$16\!\cdots\!08$$$$T^{6} +$$$$11\!\cdots\!76$$$$T^{7} +$$$$35\!\cdots\!38$$$$T^{8} +$$$$14\!\cdots\!60$$$$T^{9} +$$$$66\!\cdots\!96$$$$T^{10} +$$$$25\!\cdots\!60$$$$T^{11} +$$$$11\!\cdots\!38$$$$T^{12} +$$$$69\!\cdots\!76$$$$T^{13} +$$$$17\!\cdots\!08$$$$T^{14} +$$$$12\!\cdots\!00$$$$T^{15} +$$$$18\!\cdots\!77$$$$T^{16} +$$$$11\!\cdots\!54$$$$T^{17} +$$$$12\!\cdots\!94$$$$T^{18} +$$$$43\!\cdots\!94$$$$T^{19} +$$$$36\!\cdots\!01$$$$T^{20} )^{2}$$)($$( 1 + 9327103154 T^{2} + 41808897605399754861 T^{4} +$$$$12\!\cdots\!40$$$$T^{6} +$$$$31\!\cdots\!42$$$$T^{8} +$$$$62\!\cdots\!28$$$$T^{10} +$$$$10\!\cdots\!42$$$$T^{12} +$$$$13\!\cdots\!40$$$$T^{14} +$$$$14\!\cdots\!61$$$$T^{16} +$$$$10\!\cdots\!54$$$$T^{18} +$$$$36\!\cdots\!01$$$$T^{20} )^{2}$$)
$73$ ($$1 + 13975 T + 2073071593 T^{2}$$)($$1 - 57953 T + 2073071593 T^{2}$$)($$1 - 75529 T + 2073071593 T^{2}$$)($$1 - 30737 T + 2073071593 T^{2}$$)($$1 - 79577 T + 2073071593 T^{2}$$)($$1 + 78127 T + 2073071593 T^{2}$$)($$1 - 30737 T + 2073071593 T^{2}$$)($$1 - 75529 T + 2073071593 T^{2}$$)($$1 - 57953 T + 2073071593 T^{2}$$)($$1 + 13975 T + 2073071593 T^{2}$$)($$1 - 47218 T + 4446546819 T^{2} - 97886294478274 T^{3} + 4297625829703557649 T^{4}$$)($$1 - 14762 T + 2922941307 T^{2} - 30602682855866 T^{3} + 4297625829703557649 T^{4}$$)($$1 + 56158 T + 4934132787 T^{2} + 116419554519694 T^{3} + 4297625829703557649 T^{4}$$)($$1 + 49606 T + 1887735819 T^{2} + 102836789442358 T^{3} + 4297625829703557649 T^{4}$$)($$( 1 - 5465 T + 2073071593 T^{2} )^{2}$$)($$( 1 + 48079 T + 2073071593 T^{2} )^{2}$$)($$1 + 121214 T + 6975764499 T^{2} + 251285300073902 T^{3} + 4297625829703557649 T^{4}$$)($$1 + 121214 T + 6975764499 T^{2} + 251285300073902 T^{3} + 4297625829703557649 T^{4}$$)($$1 + 49606 T + 1887735819 T^{2} + 102836789442358 T^{3} + 4297625829703557649 T^{4}$$)($$1 + 56158 T + 4934132787 T^{2} + 116419554519694 T^{3} + 4297625829703557649 T^{4}$$)($$1 - 14762 T + 2922941307 T^{2} - 30602682855866 T^{3} + 4297625829703557649 T^{4}$$)($$1 - 47218 T + 4446546819 T^{2} - 97886294478274 T^{3} + 4297625829703557649 T^{4}$$)($$1 - 71427 T + 5260773822 T^{2} - 208002289418359 T^{3} + 10905960767586238446 T^{4} -$$$$30\!\cdots\!23$$$$T^{5} +$$$$89\!\cdots\!57$$$$T^{6}$$)($$1 - 71427 T + 5260773822 T^{2} - 208002289418359 T^{3} + 10905960767586238446 T^{4} -$$$$30\!\cdots\!23$$$$T^{5} +$$$$89\!\cdots\!57$$$$T^{6}$$)($$( 1 + 79577 T + 2073071593 T^{2} )^{2}$$)($$( 1 - 78127 T + 2073071593 T^{2} )^{2}$$)($$( 1 + 53849 T + 2073071593 T^{2} )^{4}$$)($$( 1 + 29393 T + 2073071593 T^{2} )^{4}$$)($$( 1 - 72470 T + 5329600059 T^{2} - 150235498344710 T^{3} + 4297625829703557649 T^{4} )^{4}$$)($$( 1 + 34438 T + 3403456395 T^{2} + 71392439519734 T^{3} + 4297625829703557649 T^{4} )^{4}$$)($$( 1 - 50043 T + 5583074766 T^{2} - 166425687154303 T^{3} + 11574113698989722238 T^{4} -$$$$21\!\cdots\!07$$$$T^{5} +$$$$89\!\cdots\!57$$$$T^{6} )^{4}$$)($$( 1 + 51188 T + 4637705622 T^{2} + 106116388702484 T^{3} + 4297625829703557649 T^{4} )^{2}$$)($$( 1 + 4233 T + 1481704827 T^{2} + 31872982860070 T^{3} + 3071680186064679411 T^{4} +$$$$18\!\cdots\!17$$$$T^{5} +$$$$89\!\cdots\!57$$$$T^{6} )^{2}$$)($$( 1 - 61226 T + 6621012721 T^{2} - 212085627051026 T^{3} + 16124371439127547300 T^{4} -$$$$43\!\cdots\!18$$$$T^{5} +$$$$28\!\cdots\!29$$$$T^{6} -$$$$54\!\cdots\!82$$$$T^{7} +$$$$18\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 - 7600 T + 3606834246 T^{2} - 31056473559714 T^{3} + 12288417972789256281 T^{4} -$$$$80\!\cdots\!84$$$$T^{5} +$$$$25\!\cdots\!33$$$$T^{6} -$$$$13\!\cdots\!86$$$$T^{7} +$$$$32\!\cdots\!22$$$$T^{8} -$$$$14\!\cdots\!00$$$$T^{9} +$$$$38\!\cdots\!93$$$$T^{10} )^{2}$$)($$( 1 + 119756 T + 12665001844 T^{2} + 840674059831786 T^{3} + 54000925751576970494 T^{4} +$$$$26\!\cdots\!20$$$$T^{5} +$$$$13\!\cdots\!21$$$$T^{6} +$$$$60\!\cdots\!00$$$$T^{7} +$$$$28\!\cdots\!53$$$$T^{8} +$$$$11\!\cdots\!80$$$$T^{9} +$$$$48\!\cdots\!58$$$$T^{10} +$$$$15\!\cdots\!86$$$$T^{11} +$$$$48\!\cdots\!92$$$$T^{12} +$$$$95\!\cdots\!44$$$$T^{13} +$$$$16\!\cdots\!57$$$$T^{14} )^{2}$$)($$( 1 - 79535 T + 13865713689 T^{2} - 726558675410662 T^{3} + 76497322497906218852 T^{4} -$$$$30\!\cdots\!44$$$$T^{5} +$$$$25\!\cdots\!79$$$$T^{6} -$$$$84\!\cdots\!51$$$$T^{7} +$$$$62\!\cdots\!22$$$$T^{8} -$$$$17\!\cdots\!43$$$$T^{9} +$$$$11\!\cdots\!71$$$$T^{10} -$$$$26\!\cdots\!08$$$$T^{11} +$$$$14\!\cdots\!52$$$$T^{12} -$$$$27\!\cdots\!66$$$$T^{13} +$$$$11\!\cdots\!61$$$$T^{14} -$$$$13\!\cdots\!95$$$$T^{15} +$$$$34\!\cdots\!01$$$$T^{16} )^{2}$$)($$( 1 + 5807 T + 9736828975 T^{2} + 32457701737968 T^{3} + 54000721454240876907 T^{4} +$$$$94\!\cdots\!83$$$$T^{5} +$$$$20\!\cdots\!24$$$$T^{6} +$$$$12\!\cdots\!09$$$$T^{7} +$$$$61\!\cdots\!52$$$$T^{8} +$$$$87\!\cdots\!77$$$$T^{9} +$$$$14\!\cdots\!98$$$$T^{10} +$$$$18\!\cdots\!61$$$$T^{11} +$$$$26\!\cdots\!48$$$$T^{12} +$$$$11\!\cdots\!13$$$$T^{13} +$$$$38\!\cdots\!24$$$$T^{14} +$$$$36\!\cdots\!19$$$$T^{15} +$$$$42\!\cdots\!43$$$$T^{16} +$$$$53\!\cdots\!76$$$$T^{17} +$$$$33\!\cdots\!75$$$$T^{18} +$$$$41\!\cdots\!51$$$$T^{19} +$$$$14\!\cdots\!49$$$$T^{20} )^{2}$$)($$( 1 + 5807 T + 9736828975 T^{2} + 32457701737968 T^{3} + 54000721454240876907 T^{4} +$$$$94\!\cdots\!83$$$$T^{5} +$$$$20\!\cdots\!24$$$$T^{6} +$$$$12\!\cdots\!09$$$$T^{7} +$$$$61\!\cdots\!52$$$$T^{8} +$$$$87\!\cdots\!77$$$$T^{9} +$$$$14\!\cdots\!98$$$$T^{10} +$$$$18\!\cdots\!61$$$$T^{11} +$$$$26\!\cdots\!48$$$$T^{12} +$$$$11\!\cdots\!13$$$$T^{13} +$$$$38\!\cdots\!24$$$$T^{14} +$$$$36\!\cdots\!19$$$$T^{15} +$$$$42\!\cdots\!43$$$$T^{16} +$$$$53\!\cdots\!76$$$$T^{17} +$$$$33\!\cdots\!75$$$$T^{18} +$$$$41\!\cdots\!51$$$$T^{19} +$$$$14\!\cdots\!49$$$$T^{20} )^{2}$$)($$( 1 + 34414 T + 6136587066 T^{2} + 147190924111464 T^{3} + 18040913209705182333 T^{4} +$$$$33\!\cdots\!48$$$$T^{5} +$$$$37\!\cdots\!69$$$$T^{6} +$$$$63\!\cdots\!36$$$$T^{7} +$$$$54\!\cdots\!62$$$$T^{8} +$$$$63\!\cdots\!14$$$$T^{9} +$$$$38\!\cdots\!93$$$$T^{10} )^{4}$$)
$79$ ($$1 - 83983 T + 3077056399 T^{2}$$)($$1 + 16448 T + 3077056399 T^{2}$$)($$1 + 81064 T + 3077056399 T^{2}$$)($$1 + 38219 T + 3077056399 T^{2}$$)($$1 + 90857 T + 3077056399 T^{2}$$)($$1 + 9707 T + 3077056399 T^{2}$$)($$1 + 38219 T + 3077056399 T^{2}$$)($$1 + 81064 T + 3077056399 T^{2}$$)($$1 + 16448 T + 3077056399 T^{2}$$)($$1 - 83983 T + 3077056399 T^{2}$$)($$1 - 49616 T + 6766377054 T^{2} - 152671230292784 T^{3} + 9468276082626847201 T^{4}$$)($$1 + 27752 T + 6343432734 T^{2} + 85394469185048 T^{3} + 9468276082626847201 T^{4}$$)($$1 + 16010 T + 870279783 T^{2} + 49263672947990 T^{3} + 9468276082626847201 T^{4}$$)($$1 - 82984 T + 6683867166 T^{2} - 255346448214616 T^{3} + 9468276082626847201 T^{4}$$)($$( 1 - 82903 T + 3077056399 T^{2} )^{2}$$)($$( 1 + 49979 T + 3077056399 T^{2} )^{2}$$)($$1 + 28768 T + 4017714654 T^{2} + 88520758486432 T^{3} + 9468276082626847201 T^{4}$$)($$1 + 28768 T + 4017714654 T^{2} + 88520758486432 T^{3} + 9468276082626847201 T^{4}$$)($$1 - 82984 T + 6683867166 T^{2} - 255346448214616 T^{3} + 9468276082626847201 T^{4}$$)($$1 + 16010 T + 870279783 T^{2} + 49263672947990 T^{3} + 9468276082626847201 T^{4}$$)($$1 + 27752 T + 6343432734 T^{2} + 85394469185048 T^{3} + 9468276082626847201 T^{4}$$)($$1 - 49616 T + 6766377054 T^{2} - 152671230292784 T^{3} + 9468276082626847201 T^{4}$$)($$1 - 89607 T + 8286005352 T^{2} - 442472143434311 T^{3} + 25496505790519847448 T^{4} -$$$$84\!\cdots\!07$$$$T^{5} +$$$$29\!\cdots\!99$$$$T^{6}$$)($$1 - 89607 T + 8286005352 T^{2} - 442472143434311 T^{3} + 25496505790519847448 T^{4} -$$$$84\!\cdots\!07$$$$T^{5} +$$$$29\!\cdots\!99$$$$T^{6}$$)($$( 1 - 90857 T + 3077056399 T^{2} )( 1 + 90857 T + 3077056399 T^{2} )$$)($$( 1 - 9707 T + 3077056399 T^{2} )( 1 + 9707 T + 3077056399 T^{2} )$$)($$( 1 - 5394251123 T^{2} + 9468276082626847201 T^{4} )^{2}$$)($$( 1 - 6047798171 T^{2} + 9468276082626847201 T^{4} )^{2}$$)($$( 1 - 3956633038 T^{2} + 14722441037308990371 T^{4} -$$$$37\!\cdots\!38$$$$T^{6} +$$$$89\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 - 4107714532 T^{2} + 6425028750051414150 T^{4} -$$$$38\!\cdots\!32$$$$T^{6} +$$$$89\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 - 14435086902 T^{2} + 96434849115132941679 T^{4} -$$$$37\!\cdots\!04$$$$T^{6} +$$$$91\!\cdots\!79$$$$T^{8} -$$$$12\!\cdots\!02$$$$T^{10} +$$$$84\!\cdots\!01$$$$T^{12} )^{2}$$)($$1 - 14926 T - 5879056307 T^{2} + 780197169890 T^{3} + 27078673587607710964 T^{4} +$$$$24\!\cdots\!10$$$$T^{5} -$$$$55\!\cdots\!07$$$$T^{6} -$$$$43\!\cdots\!74$$$$T^{7} +$$$$89\!\cdots\!01$$$$T^{8}$$)($$1 + 89202 T - 946471758 T^{2} - 73104980305676 T^{3} + 13192286849737226406 T^{4} -$$$$18\!\cdots\!50$$$$T^{5} -$$$$72\!\cdots\!62$$$$T^{6} -$$$$56\!\cdots\!50$$$$T^{7} +$$$$12\!\cdots\!06$$$$T^{8} -$$$$21\!\cdots\!24$$$$T^{9} -$$$$84\!\cdots\!58$$$$T^{10} +$$$$24\!\cdots\!98$$$$T^{11} +$$$$84\!\cdots\!01$$$$T^{12}$$)($$1 - 59516 T - 3717013179 T^{2} + 374196053042180 T^{3} - 3765094998545504239 T^{4} -$$$$30\!\cdots\!72$$$$T^{5} -$$$$95\!\cdots\!50$$$$T^{6} -$$$$90\!\cdots\!24$$$$T^{7} +$$$$17\!\cdots\!98$$$$T^{8} -$$$$27\!\cdots\!76$$$$T^{9} -$$$$90\!\cdots\!50$$$$T^{10} -$$$$87\!\cdots\!28$$$$T^{11} -$$$$33\!\cdots\!39$$$$T^{12} +$$$$10\!\cdots\!20$$$$T^{13} -$$$$31\!\cdots\!79$$$$T^{14} -$$$$15\!\cdots\!84$$$$T^{15} +$$$$80\!\cdots\!01$$$$T^{16}$$)($$1 + 29993 T - 5352351629 T^{2} + 358913063028768 T^{3} + 26234825811851125236 T^{4} -$$$$21\!\cdots\!52$$$$T^{5} +$$$$27\!\cdots\!85$$$$T^{6} +$$$$84\!\cdots\!45$$$$T^{7} -$$$$35\!\cdots\!45$$$$T^{8} -$$$$81\!\cdots\!80$$$$T^{9} +$$$$16\!\cdots\!00$$$$T^{10} -$$$$25\!\cdots\!20$$$$T^{11} -$$$$33\!\cdots\!45$$$$T^{12} +$$$$24\!\cdots\!55$$$$T^{13} +$$$$24\!\cdots\!85$$$$T^{14} -$$$$60\!\cdots\!48$$$$T^{15} +$$$$22\!\cdots\!36$$$$T^{16} +$$$$93\!\cdots\!32$$$$T^{17} -$$$$43\!\cdots\!29$$$$T^{18} +$$$$74\!\cdots\!07$$$$T^{19} +$$$$76\!\cdots\!01$$$$T^{20}$$)($$1 + 52289 T - 10254865914 T^{2} - 445080895598253 T^{3} + 55928397506183270997 T^{4} +$$$$18\!\cdots\!20$$$$T^{5} -$$$$20\!\cdots\!84$$$$T^{6} -$$$$57\!\cdots\!20$$$$T^{7} +$$$$55\!\cdots\!84$$$$T^{8} +$$$$16\!\cdots\!96$$$$T^{9} -$$$$17\!\cdots\!76$$$$T^{10} -$$$$42\!\cdots\!92$$$$T^{11} +$$$$72\!\cdots\!86$$$$T^{12} +$$$$59\!\cdots\!70$$$$T^{13} -$$$$25\!\cdots\!92$$$$T^{14} +$$$$18\!\cdots\!30$$$$T^{15} +$$$$68\!\cdots\!86$$$$T^{16} -$$$$12\!\cdots\!08$$$$T^{17} -$$$$15\!\cdots\!76$$$$T^{18} +$$$$44\!\cdots\!04$$$$T^{19} +$$$$47\!\cdots\!84$$$$T^{20} -$$$$14\!\cdots\!80$$$$T^{21} -$$$$16\!\cdots\!84$$$$T^{22} +$$$$44\!\cdots\!80$$$$T^{23} +$$$$42\!\cdots\!97$$$$T^{24} -$$$$10\!\cdots\!47$$$$T^{25} -$$$$73\!\cdots\!14$$$$T^{26} +$$$$11\!\cdots\!11$$$$T^{27} +$$$$68\!\cdots\!01$$$$T^{28}$$)($$1 - 97043 T - 6981685421 T^{2} + 727810639417952 T^{3} + 35972102294414959172 T^{4} -$$$$22\!\cdots\!20$$$$T^{5} -$$$$18\!\cdots\!45$$$$T^{6} -$$$$12\!\cdots\!65$$$$T^{7} +$$$$98\!\cdots\!05$$$$T^{8} +$$$$21\!\cdots\!64$$$$T^{9} -$$$$29\!\cdots\!24$$$$T^{10} -$$$$11\!\cdots\!12$$$$T^{11} +$$$$37\!\cdots\!46$$$$T^{12} +$$$$37\!\cdots\!06$$$$T^{13} +$$$$76\!\cdots\!82$$$$T^{14} -$$$$56\!\cdots\!68$$$$T^{15} -$$$$41\!\cdots\!08$$$$T^{16} -$$$$17\!\cdots\!32$$$$T^{17} +$$$$72\!\cdots\!82$$$$T^{18} +$$$$10\!\cdots\!94$$$$T^{19} +$$$$33\!\cdots\!46$$$$T^{20} -$$$$32\!\cdots\!88$$$$T^{21} -$$$$24\!\cdots\!24$$$$T^{22} +$$$$57\!\cdots\!36$$$$T^{23} +$$$$78\!\cdots\!05$$$$T^{24} -$$$$31\!\cdots\!35$$$$T^{25} -$$$$14\!\cdots\!45$$$$T^{26} -$$$$53\!\cdots\!80$$$$T^{27} +$$$$25\!\cdots\!72$$$$T^{28} +$$$$16\!\cdots\!48$$$$T^{29} -$$$$47\!\cdots\!21$$$$T^{30} -$$$$20\!\cdots\!57$$$$T^{31} +$$$$64\!\cdots\!01$$$$T^{32}$$)($$1 - 171897 T + 26355344110 T^{2} - 2837300580759579 T^{3} +$$$$26\!\cdots\!25$$$$T^{4} -$$$$19\!\cdots\!44$$$$T^{5} +$$$$13\!\cdots\!06$$$$T^{6} -$$$$75\!\cdots\!70$$$$T^{7} +$$$$39\!\cdots\!76$$$$T^{8} -$$$$19\!\cdots\!98$$$$T^{9} +$$$$10\!\cdots\!30$$$$T^{10} -$$$$68\!\cdots\!60$$$$T^{11} +$$$$46\!\cdots\!67$$$$T^{12} -$$$$30\!\cdots\!59$$$$T^{13} +$$$$18\!\cdots\!66$$$$T^{14} -$$$$97\!\cdots\!05$$$$T^{15} +$$$$48\!\cdots\!19$$$$T^{16} -$$$$22\!\cdots\!20$$$$T^{17} +$$$$10\!\cdots\!12$$$$T^{18} -$$$$54\!\cdots\!72$$$$T^{19} +$$$$29\!\cdots\!24$$$$T^{20} -$$$$16\!\cdots\!28$$$$T^{21} +$$$$10\!\cdots\!12$$$$T^{22} -$$$$65\!\cdots\!80$$$$T^{23} +$$$$43\!\cdots\!19$$$$T^{24} -$$$$26\!\cdots\!95$$$$T^{25} +$$$$15\!\cdots\!66$$$$T^{26} -$$$$79\!\cdots\!41$$$$T^{27} +$$$$37\!\cdots\!67$$$$T^{28} -$$$$16\!\cdots\!40$$$$T^{29} +$$$$82\!\cdots\!30$$$$T^{30} -$$$$46\!\cdots\!02$$$$T^{31} +$$$$28\!\cdots\!76$$$$T^{32} -$$$$16\!\cdots\!30$$$$T^{33} +$$$$90\!\cdots\!06$$$$T^{34} -$$$$41\!\cdots\!56$$$$T^{35} +$$$$16\!\cdots\!25$$$$T^{36} -$$$$56\!\cdots\!21$$$$T^{37} +$$$$16\!\cdots\!10$$$$T^{38} -$$$$32\!\cdots\!03$$$$T^{39} +$$$$57\!\cdots\!01$$$$T^{40}$$)($$1 + 171897 T + 26355344110 T^{2} + 2837300580759579 T^{3} +$$$$26\!\cdots\!25$$$$T^{4} +$$$$19\!\cdots\!44$$$$T^{5} +$$$$13\!\cdots\!06$$$$T^{6} +$$$$75\!\cdots\!70$$$$T^{7} +$$$$39\!\cdots\!76$$$$T^{8} +$$$$19\!\cdots\!98$$$$T^{9} +$$$$10\!\cdots\!30$$$$T^{10} +$$$$68\!\cdots\!60$$$$T^{11} +$$$$46\!\cdots\!67$$$$T^{12} +$$$$30\!\cdots\!59$$$$T^{13} +$$$$18\!\cdots\!66$$$$T^{14} +$$$$97\!\cdots\!05$$$$T^{15} +$$$$48\!\cdots\!19$$$$T^{16} +$$$$22\!\cdots\!20$$$$T^{17} +$$$$10\!\cdots\!12$$$$T^{18} +$$$$54\!\cdots\!72$$$$T^{19} +$$$$29\!\cdots\!24$$$$T^{20} +$$$$16\!\cdots\!28$$$$T^{21} +$$$$10\!\cdots\!12$$$$T^{22} +$$$$65\!\cdots\!80$$$$T^{23} +$$$$43\!\cdots\!19$$$$T^{24} +$$$$26\!\cdots\!95$$$$T^{25} +$$$$15\!\cdots\!66$$$$T^{26} +$$$$79\!\cdots\!41$$$$T^{27} +$$$$37\!\cdots\!67$$$$T^{28} +$$$$16\!\cdots\!40$$$$T^{29} +$$$$82\!\cdots\!30$$$$T^{30} +$$$$46\!\cdots\!02$$$$T^{31} +$$$$28\!\cdots\!76$$$$T^{32} +$$$$16\!\cdots\!30$$$$T^{33} +$$$$90\!\cdots\!06$$$$T^{34} +$$$$41\!\cdots\!56$$$$T^{35} +$$$$16\!\cdots\!25$$$$T^{36} +$$$$56\!\cdots\!21$$$$T^{37} +$$$$16\!\cdots\!10$$$$T^{38} +$$$$32\!\cdots\!03$$$$T^{39} +$$$$57\!\cdots\!01$$$$T^{40}$$)($$1 + 16559741695 T^{2} +$$$$15\!\cdots\!89$$$$T^{4} +$$$$10\!\cdots\!82$$$$T^{6} +$$$$50\!\cdots\!82$$$$T^{8} +$$$$19\!\cdots\!54$$$$T^{10} +$$$$57\!\cdots\!55$$$$T^{12} +$$$$10\!\cdots\!85$$$$T^{14} +$$$$49\!\cdots\!11$$$$T^{16} -$$$$90\!\cdots\!08$$$$T^{18} -$$$$39\!\cdots\!76$$$$T^{20} -$$$$85\!\cdots\!08$$$$T^{22} +$$$$43\!\cdots\!11$$$$T^{24} +$$$$91\!\cdots\!85$$$$T^{26} +$$$$45\!\cdots\!55$$$$T^{28} +$$$$14\!\cdots\!54$$$$T^{30} +$$$$36\!\cdots\!82$$$$T^{32} +$$$$69\!\cdots\!82$$$$T^{34} +$$$$10\!\cdots\!89$$$$T^{36} +$$$$10\!\cdots\!95$$$$T^{38} +$$$$57\!\cdots\!01$$$$T^{40}$$)
$83$ ($$1 + 33384 T + 3939040643 T^{2}$$)($$1 - 69267 T + 3939040643 T^{2}$$)($$1 - 68293 T + 3939040643 T^{2}$$)($$1 - 8112 T + 3939040643 T^{2}$$)($$1 + 3939040643 T^{2}$$)($$1 + 3939040643 T^{2}$$)($$1 + 8112 T + 3939040643 T^{2}$$)($$1 + 68293 T + 3939040643 T^{2}$$)($$1 + 69267 T + 3939040643 T^{2}$$)($$1 - 33384 T + 3939040643 T^{2}$$)($$1 + 102294 T + 8848061695 T^{2} + 402940223535042 T^{3} + 15516041187205853449 T^{4}$$)($$1 + 141362 T + 11501152487 T^{2} + 556830663375766 T^{3} + 15516041187205853449 T^{4}$$)($$1 - 86216 T + 7112504390 T^{2} - 339608328076888 T^{3} + 15516041187205853449 T^{4}$$)($$1 - 25570 T + 6145459415 T^{2} - 100721269241510 T^{3} + 15516041187205853449 T^{4}$$)($$1 + 7701562630 T^{2} + 15516041187205853449 T^{4}$$)($$1 + 4552161670 T^{2} + 15516041187205853449 T^{4}$$)($$1 - 15066 T - 2258995409 T^{2} - 59345586327438 T^{3} + 15516041187205853449 T^{4}$$)($$1 + 15066 T - 2258995409 T^{2} + 59345586327438 T^{3} + 15516041187205853449 T^{4}$$)($$1 + 25570 T + 6145459415 T^{2} + 100721269241510 T^{3} + 15516041187205853449 T^{4}$$)($$1 + 86216 T + 7112504390 T^{2} + 339608328076888 T^{3} + 15516041187205853449 T^{4}$$)($$1 - 141362 T + 11501152487 T^{2} - 556830663375766 T^{3} + 15516041187205853449 T^{4}$$)($$1 - 102294 T + 8848061695 T^{2} - 402940223535042 T^{3} + 15516041187205853449 T^{4}$$)($$1 + 101304 T + 12134118729 T^{2} + 665453017537616 T^{3} + 47796786840518502747 T^{4} +$$$$15\!\cdots\!96$$$$T^{5} +$$$$61\!\cdots\!07$$$$T^{6}$$)($$1 - 101304 T + 12134118729 T^{2} - 665453017537616 T^{3} + 47796786840518502747 T^{4} -$$$$15\!\cdots\!96$$$$T^{5} +$$$$61\!\cdots\!07$$$$T^{6}$$)($$( 1 + 3939040643 T^{2} )^{2}$$)($$( 1 + 3939040643 T^{2} )^{2}$$)($$( 1 + 4092740038 T^{2} + 15516041187205853449 T^{4} )^{2}$$)($$( 1 - 3341729402 T^{2} + 15516041187205853449 T^{4} )^{2}$$)($$( 1 + 9388435916 T^{2} + 42937583758979169462 T^{4} +$$$$14\!\cdots\!84$$$$T^{6} +$$$$24\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 + 5785907078 T^{2} + 39298643172748790619 T^{4} +$$$$89\!\cdots\!22$$$$T^{6} +$$$$24\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 + 2034593697 T^{2} - 2581735194439923450 T^{4} +$$$$31\!\cdots\!05$$$$T^{6} -$$$$40\!\cdots\!50$$$$T^{8} +$$$$48\!\cdots\!97$$$$T^{10} +$$$$37\!\cdots\!49$$$$T^{12} )^{2}$$)($$1 - 90762 T - 1695108259 T^{2} - 186494818454154 T^{3} + 50696650939413455868 T^{4} -$$$$73\!\cdots\!22$$$$T^{5} -$$$$26\!\cdots\!91$$$$T^{6} -$$$$55\!\cdots\!34$$$$T^{7} +$$$$24\!\cdots\!01$$$$T^{8}$$)($$1 - 32634 T - 7761884658 T^{2} + 19287559006164 T^{3} + 38129210867128845714 T^{4} +$$$$40\!\cdots\!90$$$$T^{5} -$$$$17\!\cdots\!58$$$$T^{6} +$$$$16\!\cdots\!70$$$$T^{7} +$$$$59\!\cdots\!86$$$$T^{8} +$$$$11\!\cdots\!48$$$$T^{9} -$$$$18\!\cdots\!58$$$$T^{10} -$$$$30\!\cdots\!62$$$$T^{11} +$$$$37\!\cdots\!49$$$$T^{12}$$)($$1 - 117696 T - 5262215903 T^{2} + 507938387214576 T^{3} + 83906673955765181161 T^{4} -$$$$37\!\cdots\!00$$$$T^{5} -$$$$42\!\cdots\!38$$$$T^{6} +$$$$12\!\cdots\!52$$$$T^{7} +$$$$24\!\cdots\!34$$$$T^{8} +$$$$47\!\cdots\!36$$$$T^{9} -$$$$65\!\cdots\!62$$$$T^{10} -$$$$22\!\cdots\!00$$$$T^{11} +$$$$20\!\cdots\!61$$$$T^{12} +$$$$48\!\cdots\!68$$$$T^{13} -$$$$19\!\cdots\!47$$$$T^{14} -$$$$17\!\cdots\!72$$$$T^{15} +$$$$57\!\cdots\!01$$$$T^{16}$$)($$1 + 228951 T + 21403431983 T^{2} + 1202282302650156 T^{3} + 62567029919071222368 T^{4} +$$$$36\!\cdots\!68$$$$T^{5} +$$$$11\!\cdots\!01$$$$T^{6} -$$$$11\!\cdots\!41$$$$T^{7} -$$$$18\!\cdots\!73$$$$T^{8} -$$$$14\!\cdots\!84$$$$T^{9} -$$$$88\!\cdots\!72$$$$T^{10} -$$$$55\!\cdots\!12$$$$T^{11} -$$$$28\!\cdots\!77$$$$T^{12} -$$$$67\!\cdots\!87$$$$T^{13} +$$$$28\!\cdots\!01$$$$T^{14} +$$$$34\!\cdots\!24$$$$T^{15} +$$$$23\!\cdots\!32$$$$T^{16} +$$$$17\!\cdots\!92$$$$T^{17} +$$$$12\!\cdots\!83$$$$T^{18} +$$$$52\!\cdots\!93$$$$T^{19} +$$$$89\!\cdots\!49$$$$T^{20}$$)($$1 - 33317 T - 8432560942 T^{2} + 477533729480965 T^{3} + 20105513085767342373 T^{4} -$$$$28\!\cdots\!40$$$$T^{5} +$$$$34\!\cdots\!76$$$$T^{6} +$$$$10\!\cdots\!32$$$$T^{7} -$$$$48\!\cdots\!72$$$$T^{8} -$$$$29\!\cdots\!04$$$$T^{9} +$$$$27\!\cdots\!12$$$$T^{10} +$$$$59\!\cdots\!36$$$$T^{11} -$$$$12\!\cdots\!94$$$$T^{12} -$$$$60\!\cdots\!34$$$$T^{13} +$$$$48\!\cdots\!92$$$$T^{14} -$$$$23\!\cdots\!62$$$$T^{15} -$$$$18\!\cdots\!06$$$$T^{16} +$$$$36\!\cdots\!52$$$$T^{17} +$$$$66\!\cdots\!12$$$$T^{18} -$$$$28\!\cdots\!72$$$$T^{19} -$$$$17\!\cdots\!28$$$$T^{20} +$$$$15\!\cdots\!24$$$$T^{21} +$$$$20\!\cdots\!76$$$$T^{22} -$$$$65\!\cdots\!20$$$$T^{23} +$$$$18\!\cdots\!77$$$$T^{24} +$$$$16\!\cdots\!55$$$$T^{25} -$$$$11\!\cdots\!42$$$$T^{26} -$$$$18\!\cdots\!31$$$$T^{27} +$$$$21\!\cdots\!49$$$$T^{28}$$)($$1 + 87151 T - 10575830677 T^{2} - 176442258235768 T^{3} +$$$$13\!\cdots\!72$$$$T^{4} -$$$$27\!\cdots\!28$$$$T^{5} -$$$$80\!\cdots\!21$$$$T^{6} +$$$$54\!\cdots\!01$$$$T^{7} +$$$$29\!\cdots\!85$$$$T^{8} -$$$$41\!\cdots\!40$$$$T^{9} +$$$$85\!\cdots\!16$$$$T^{10} +$$$$21\!\cdots\!84$$$$T^{11} -$$$$76\!\cdots\!26$$$$T^{12} -$$$$72\!\cdots\!06$$$$T^{13} +$$$$59\!\cdots\!62$$$$T^{14} +$$$$11\!\cdots\!04$$$$T^{15} -$$$$27\!\cdots\!08$$$$T^{16} +$$$$46\!\cdots\!72$$$$T^{17} +$$$$92\!\cdots\!38$$$$T^{18} -$$$$44\!\cdots\!42$$$$T^{19} -$$$$18\!\cdots\!26$$$$T^{20} +$$$$20\!\cdots\!12$$$$T^{21} +$$$$31\!\cdots\!84$$$$T^{22} -$$$$61\!\cdots\!80$$$$T^{23} +$$$$16\!\cdots\!85$$$$T^{24} +$$$$12\!\cdots\!43$$$$T^{25} -$$$$72\!\cdots\!29$$$$T^{26} -$$$$96\!\cdots\!96$$$$T^{27} +$$$$18\!\cdots\!72$$$$T^{28} -$$$$96\!\cdots\!24$$$$T^{29} -$$$$22\!\cdots\!73$$$$T^{30} +$$$$74\!\cdots\!57$$$$T^{31} +$$$$33\!\cdots\!01$$$$T^{32}$$)($$1 - 43347 T - 25871465354 T^{2} + 1396941748469247 T^{3} +$$$$34\!\cdots\!53$$$$T^{4} -$$$$22\!\cdots\!28$$$$T^{5} -$$$$31\!\cdots\!22$$$$T^{6} +$$$$24\!\cdots\!58$$$$T^{7} +$$$$20\!\cdots\!12$$$$T^{8} -$$$$20\!\cdots\!78$$$$T^{9} -$$$$10\!\cdots\!10$$$$T^{10} +$$$$13\!\cdots\!00$$$$T^{11} +$$$$29\!\cdots\!71$$$$T^{12} -$$$$69\!\cdots\!85$$$$T^{13} +$$$$27\!\cdots\!90$$$$T^{14} +$$$$28\!\cdots\!73$$$$T^{15} -$$$$70\!\cdots\!05$$$$T^{16} -$$$$88\!\cdots\!92$$$$T^{17} +$$$$52\!\cdots\!24$$$$T^{18} +$$$$13\!\cdots\!80$$$$T^{19} -$$$$24\!\cdots\!60$$$$T^{20} +$$$$51\!\cdots\!40$$$$T^{21} +$$$$81\!\cdots\!76$$$$T^{22} -$$$$53\!\cdots\!44$$$$T^{23} -$$$$16\!\cdots\!05$$$$T^{24} +$$$$27\!\cdots\!39$$$$T^{25} +$$$$10\!\cdots\!10$$$$T^{26} -$$$$10\!\cdots\!95$$$$T^{27} +$$$$17\!\cdots\!71$$$$T^{28} +$$$$30\!\cdots\!00$$$$T^{29} -$$$$89\!\cdots\!90$$$$T^{30} -$$$$72\!\cdots\!46$$$$T^{31} +$$$$29\!\cdots\!12$$$$T^{32} +$$$$13\!\cdots\!94$$$$T^{33} -$$$$68\!\cdots\!78$$$$T^{34} -$$$$19\!\cdots\!96$$$$T^{35} +$$$$11\!\cdots\!53$$$$T^{36} +$$$$18\!\cdots\!21$$$$T^{37} -$$$$13\!\cdots\!46$$$$T^{38} -$$$$88\!\cdots\!29$$$$T^{39} +$$$$80\!\cdots\!01$$$$T^{40}$$)($$1 + 43347 T - 25871465354 T^{2} - 1396941748469247 T^{3} +$$$$34\!\cdots\!53$$$$T^{4} +$$$$22\!\cdots\!28$$$$T^{5} -$$$$31\!\cdots\!22$$$$T^{6} -$$$$24\!\cdots\!58$$$$T^{7} +$$$$20\!\cdots\!12$$$$T^{8} +$$$$20\!\cdots\!78$$$$T^{9} -$$$$10\!\cdots\!10$$$$T^{10} -$$$$13\!\cdots\!00$$$$T^{11} +$$$$29\!\cdots\!71$$$$T^{12} +$$$$69\!\cdots\!85$$$$T^{13} +$$$$27\!\cdots\!90$$$$T^{14} -$$$$28\!\cdots\!73$$$$T^{15} -$$$$70\!\cdots\!05$$$$T^{16} +$$$$88\!\cdots\!92$$$$T^{17} +$$$$52\!\cdots\!24$$$$T^{18} -$$$$13\!\cdots\!80$$$$T^{19} -$$$$24\!\cdots\!60$$$$T^{20} -$$$$51\!\cdots\!40$$$$T^{21} +$$$$81\!\cdots\!76$$$$T^{22} +$$$$53\!\cdots\!44$$$$T^{23} -$$$$16\!\cdots\!05$$$$T^{24} -$$$$27\!\cdots\!39$$$$T^{25} +$$$$10\!\cdots\!10$$$$T^{26} +$$$$10\!\cdots\!95$$$$T^{27} +$$$$17\!\cdots\!71$$$$T^{28} -$$$$30\!\cdots\!00$$$$T^{29} -$$$$89\!\cdots\!90$$$$T^{30} +$$$$72\!\cdots\!46$$$$T^{31} +$$$$29\!\cdots\!12$$$$T^{32} -$$$$13\!\cdots\!94$$$$T^{33} -$$$$68\!\cdots\!78$$$$T^{34} +$$$$19\!\cdots\!96$$$$T^{35} +$$$$11\!\cdots\!53$$$$T^{36} -$$$$18\!\cdots\!21$$$$T^{37} -$$$$13\!\cdots\!46$$$$T^{38} +$$$$88\!\cdots\!29$$$$T^{39} +$$$$80\!\cdots\!01$$$$T^{40}$$)($$1 - 15783157985 T^{2} +$$$$15\!\cdots\!69$$$$T^{4} -$$$$10\!\cdots\!06$$$$T^{6} +$$$$55\!\cdots\!42$$$$T^{8} -$$$$24\!\cdots\!22$$$$T^{10} +$$$$10\!\cdots\!87$$$$T^{12} -$$$$46\!\cdots\!55$$$$T^{14} +$$$$22\!\cdots\!11$$$$T^{16} -$$$$10\!\cdots\!88$$$$T^{18} +$$$$44\!\cdots\!76$$$$T^{20} -$$$$16\!\cdots\!12$$$$T^{22} +$$$$54\!\cdots\!11$$$$T^{24} -$$$$17\!\cdots\!95$$$$T^{26} +$$$$60\!\cdots\!87$$$$T^{28} -$$$$22\!\cdots\!78$$$$T^{30} +$$$$76\!\cdots\!42$$$$T^{32} -$$$$22\!\cdots\!94$$$$T^{34} +$$$$51\!\cdots\!69$$$$T^{36} -$$$$82\!\cdots\!65$$$$T^{38} +$$$$80\!\cdots\!01$$$$T^{40}$$)
$89$ ($$1 + 77868 T + 5584059449 T^{2}$$)($$1 - 54198 T + 5584059449 T^{2}$$)($$1 - 62526 T + 5584059449 T^{2}$$)($$1 - 44280 T + 5584059449 T^{2}$$)($$1 + 5584059449 T^{2}$$)($$1 + 5584059449 T^{2}$$)($$1 + 44280 T + 5584059449 T^{2}$$)($$1 + 62526 T + 5584059449 T^{2}$$)($$1 + 54198 T + 5584059449 T^{2}$$)($$1 - 77868 T + 5584059449 T^{2}$$)($$1 - 35856 T + 7481861710 T^{2} - 200222035603344 T^{3} + 31181719929966183601 T^{4}$$)($$1 + 211452 T + 22334357734 T^{2} + 1180760538609948 T^{3} + 31181719929966183601 T^{4}$$)($$1 + 172164 T + 17420861122 T^{2} + 961374010977636 T^{3} + 31181719929966183601 T^{4}$$)($$1 + 21480 T - 378921602 T^{2} + 119945596964520 T^{3} + 31181719929966183601 T^{4}$$)($$1 + 3109663474 T^{2} + 31181719929966183601 T^{4}$$)($$1 + 3438704914 T^{2} + 31181719929966183601 T^{4}$$)($$1 + 178848 T + 18739138030 T^{2} + 998697864334752 T^{3} + 31181719929966183601 T^{4}$$)($$1 - 178848 T + 18739138030 T^{2} - 998697864334752 T^{3} + 31181719929966183601 T^{4}$$)($$1 - 21480 T - 378921602 T^{2} - 119945596964520 T^{3} + 31181719929966183601 T^{4}$$)($$1 - 172164 T + 17420861122 T^{2} - 961374010977636 T^{3} + 31181719929966183601 T^{4}$$)($$1 - 211452 T + 22334357734 T^{2} - 1180760538609948 T^{3} + 31181719929966183601 T^{4}$$)($$1 + 35856 T + 7481861710 T^{2} + 200222035603344 T^{3} + 31181719929966183601 T^{4}$$)($$1 - 22356 T + 9034661211 T^{2} - 29914352693928 T^{3} + 50450085303798332739 T^{4} -$$$$69\!\cdots\!56$$$$T^{5} +$$$$17\!\cdots\!49$$$$T^{6}$$)($$1 + 22356 T + 9034661211 T^{2} + 29914352693928 T^{3} + 50450085303798332739 T^{4} +$$$$69\!\cdots\!56$$$$T^{5} +$$$$17\!\cdots\!49$$$$T^{6}$$)($$( 1 - 5584059449 T^{2} )^{2}$$)($$( 1 - 5584059449 T^{2} )^{2}$$)($$( 1 + 1892591102 T^{2} + 31181719929966183601 T^{4} )^{2}$$)($$( 1 - 9549378898 T^{2} + 31181719929966183601 T^{4} )^{2}$$)($$( 1 - 5560579508 T^{2} + 2696794479659742918 T^{4} -$$$$17\!\cdots\!08$$$$T^{6} +$$$$97\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 - 11089108220 T^{2} + 61941653807389082214 T^{4} -$$$$34\!\cdots\!20$$$$T^{6} +$$$$97\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 - 15833826570 T^{2} + 97056113093397596895 T^{4} -$$$$43\!\cdots\!52$$$$T^{6} +$$$$30\!\cdots\!95$$$$T^{8} -$$$$15\!\cdots\!70$$$$T^{10} +$$$$30\!\cdots\!01$$$$T^{12} )^{2}$$)($$( 1 - 9300 T + 3189231862 T^{2} - 51931752875700 T^{3} + 31181719929966183601 T^{4} )^{2}$$)($$( 1 + 33066 T + 16131261399 T^{2} + 360180435327660 T^{3} + 90077922639374909151 T^{4} +$$$$10\!\cdots\!66$$$$T^{5} +$$$$17\!\cdots\!49$$$$T^{6} )^{2}$$)($$( 1 - 225864 T + 38022042668 T^{2} - 4189883418729720 T^{3} +$$$$36\!\cdots\!22$$$$T^{4} -$$$$23\!\cdots\!80$$$$T^{5} +$$$$11\!\cdots\!68$$$$T^{6} -$$$$39\!\cdots\!36$$$$T^{7} +$$$$97\!\cdots\!01$$$$T^{8} )^{2}$$)($$( 1 + 299166 T + 52616244181 T^{2} + 6660261403977288 T^{3} +$$$$67\!\cdots\!10$$$$T^{4} +$$$$55\!\cdots\!64$$$$T^{5} +$$$$37\!\cdots\!90$$$$T^{6} +$$$$20\!\cdots\!88$$$$T^{7} +$$$$91\!\cdots\!69$$$$T^{8} +$$$$29\!\cdots\!66$$$$T^{9} +$$$$54\!\cdots\!49$$$$T^{10} )^{2}$$)($$( 1 + 17418 T + 22938251123 T^{2} + 54792061641540 T^{3} +$$$$25\!\cdots\!13$$$$T^{4} -$$$$20\!\cdots\!02$$$$T^{5} +$$$$18\!\cdots\!91$$$$T^{6} -$$$$20\!\cdots\!48$$$$T^{7} +$$$$10\!\cdots\!59$$$$T^{8} -$$$$62\!\cdots\!02$$$$T^{9} +$$$$44\!\cdots\!37$$$$T^{10} +$$$$53\!\cdots\!40$$$$T^{11} +$$$$12\!\cdots\!27$$$$T^{12} +$$$$52\!\cdots\!18$$$$T^{13} +$$$$16\!\cdots\!49$$$$T^{14} )^{2}$$)($$( 1 - 10512 T + 19793459944 T^{2} + 278250638401872 T^{3} +$$$$22\!\cdots\!64$$$$T^{4} +$$$$51\!\cdots\!76$$$$T^{5} +$$$$19\!\cdots\!56$$$$T^{6} +$$$$41\!\cdots\!96$$$$T^{7} +$$$$12\!\cdots\!46$$$$T^{8} +$$$$23\!\cdots\!04$$$$T^{9} +$$$$60\!\cdots\!56$$$$T^{10} +$$$$89\!\cdots\!24$$$$T^{11} +$$$$22\!\cdots\!64$$$$T^{12} +$$$$15\!\cdots\!28$$$$T^{13} +$$$$60\!\cdots\!44$$$$T^{14} -$$$$17\!\cdots\!88$$$$T^{15} +$$$$94\!\cdots\!01$$$$T^{16} )^{2}$$)($$1 - 38579170324 T^{2} +$$$$80\!\cdots\!14$$$$T^{4} -$$$$11\!\cdots\!56$$$$T^{6} +$$$$13\!\cdots\!21$$$$T^{8} -$$$$12\!\cdots\!04$$$$T^{10} +$$$$96\!\cdots\!36$$$$T^{12} -$$$$66\!\cdots\!84$$$$T^{14} +$$$$41\!\cdots\!78$$$$T^{16} -$$$$23\!\cdots\!64$$$$T^{18} +$$$$13\!\cdots\!80$$$$T^{20} -$$$$74\!\cdots\!64$$$$T^{22} +$$$$39\!\cdots\!78$$$$T^{24} -$$$$20\!\cdots\!84$$$$T^{26} +$$$$91\!\cdots\!36$$$$T^{28} -$$$$36\!\cdots\!04$$$$T^{30} +$$$$12\!\cdots\!21$$$$T^{32} -$$$$33\!\cdots\!56$$$$T^{34} +$$$$72\!\cdots\!14$$$$T^{36} -$$$$10\!\cdots\!24$$$$T^{38} +$$$$86\!\cdots\!01$$$$T^{40}$$)($$1 - 38579170324 T^{2} +$$$$80\!\cdots\!14$$$$T^{4} -$$$$11\!\cdots\!56$$$$T^{6} +$$$$13\!\cdots\!21$$$$T^{8} -$$$$12\!\cdots\!04$$$$T^{10} +$$$$96\!\cdots\!36$$$$T^{12} -$$$$66\!\cdots\!84$$$$T^{14} +$$$$41\!\cdots\!78$$$$T^{16} -$$$$23\!\cdots\!64$$$$T^{18} +$$$$13\!\cdots\!80$$$$T^{20} -$$$$74\!\cdots\!64$$$$T^{22} +$$$$39\!\cdots\!78$$$$T^{24} -$$$$20\!\cdots\!84$$$$T^{26} +$$$$91\!\cdots\!36$$$$T^{28} -$$$$36\!\cdots\!04$$$$T^{30} +$$$$12\!\cdots\!21$$$$T^{32} -$$$$33\!\cdots\!56$$$$T^{34} +$$$$72\!\cdots\!14$$$$T^{36} -$$$$10\!\cdots\!24$$$$T^{38} +$$$$86\!\cdots\!01$$$$T^{40}$$)($$( 1 - 45601579694 T^{2} +$$$$98\!\cdots\!53$$$$T^{4} -$$$$13\!\cdots\!32$$$$T^{6} +$$$$11\!\cdots\!94$$$$T^{8} -$$$$78\!\cdots\!80$$$$T^{10} +$$$$37\!\cdots\!94$$$$T^{12} -$$$$12\!\cdots\!32$$$$T^{14} +$$$$29\!\cdots\!53$$$$T^{16} -$$$$43\!\cdots\!94$$$$T^{18} +$$$$29\!\cdots\!01$$$$T^{20} )^{2}$$)
$97$ ($$1 + 2083 T + 8587340257 T^{2}$$)($$1 + 132961 T + 8587340257 T^{2}$$)($$1 - 61007 T + 8587340257 T^{2}$$)($$1 + 136651 T + 8587340257 T^{2}$$)($$1 - 177725 T + 8587340257 T^{2}$$)($$1 + 43339 T + 8587340257 T^{2}$$)($$1 + 136651 T + 8587340257 T^{2}$$)($$1 - 61007 T + 8587340257 T^{2}$$)($$1 + 132961 T + 8587340257 T^{2}$$)($$1 + 2083 T + 8587340257 T^{2}$$)($$1 - 169966 T + 17238594003 T^{2} - 1459555874121262 T^{3} + 73742412689492826049 T^{4}$$)($$1 + 53762 T + 10243703235 T^{2} + 461672586896834 T^{3} + 73742412689492826049 T^{4}$$)($$1 + 139430 T + 17569513899 T^{2} + 1197332852033510 T^{3} + 73742412689492826049 T^{4}$$)($$1 + 79826 T + 17389451667 T^{2} + 685493023355282 T^{3} + 73742412689492826049 T^{4}$$)($$( 1 + 49603 T + 8587340257 T^{2} )^{2}$$)($$( 1 - 12917 T + 8587340257 T^{2} )^{2}$$)($$1 - 88942 T + 13779025491 T^{2} - 763775217138094 T^{3} + 73742412689492826049 T^{4}$$)($$1 - 88942 T + 13779025491 T^{2} - 763775217138094 T^{3} + 73742412689492826049 T^{4}$$)($$1 + 79826 T + 17389451667 T^{2} + 685493023355282 T^{3} + 73742412689492826049 T^{4}$$)($$1 + 139430 T + 17569513899 T^{2} + 1197332852033510 T^{3} + 73742412689492826049 T^{4}$$)($$1 + 53762 T + 10243703235 T^{2} + 461672586896834 T^{3} + 73742412689492826049 T^{4}$$)($$1 - 169966 T + 17238594003 T^{2} - 1459555874121262 T^{3} + 73742412689492826049 T^{4}$$)($$1 - 196191 T + 33319837710 T^{2} - 3268958738863691 T^{3} +$$$$28\!\cdots\!70$$$$T^{4} -$$$$14\!\cdots\!59$$$$T^{5} +$$$$63\!\cdots\!93$$$$T^{6}$$)($$1 - 196191 T + 33319837710 T^{2} - 3268958738863691 T^{3} +$$$$28\!\cdots\!70$$$$T^{4} -$$$$14\!\cdots\!59$$$$T^{5} +$$$$63\!\cdots\!93$$$$T^{6}$$)($$( 1 + 177725 T + 8587340257 T^{2} )^{2}$$)($$( 1 - 43339 T + 8587340257 T^{2} )^{2}$$)($$( 1 + 15629 T + 8587340257 T^{2} )^{4}$$)($$( 1 + 83477 T + 8587340257 T^{2} )^{4}$$)($$( 1 - 206654 T + 27290218611 T^{2} - 1774608213470078 T^{3} + 73742412689492826049 T^{4} )^{4}$$)($$( 1 - 64214 T + 15980048763 T^{2} - 551427467262998 T^{3} + 73742412689492826049 T^{4} )^{4}$$)($$( 1 + 70575 T + 22799842350 T^{2} + 1212990465307835 T^{3} +$$$$19\!\cdots\!50$$$$T^{4} +$$$$52\!\cdots\!75$$$$T^{5} +$$$$63\!\cdots\!93$$$$T^{6} )^{4}$$)($$1 + 30262 T - 7152864215 T^{2} - 275566608895610 T^{3} - 16503442419968593676 T^{4} -$$$$23\!\cdots\!70$$$$T^{5} -$$$$52\!\cdots\!35$$$$T^{6} +$$$$19\!\cdots\!66$$$$T^{7} +$$$$54\!\cdots\!01$$$$T^{8}$$)($$1 - 46245 T - 17067186177 T^{2} + 116084978368376 T^{3} +$$$$18\!\cdots\!05$$$$T^{4} +$$$$22\!\cdots\!89$$$$T^{5} -$$$$18\!\cdots\!78$$$$T^{6} +$$$$18\!\cdots\!73$$$$T^{7} +$$$$13\!\cdots\!45$$$$T^{8} +$$$$73\!\cdots\!68$$$$T^{9} -$$$$92\!\cdots\!77$$$$T^{10} -$$$$21\!\cdots\!65$$$$T^{11} +$$$$40\!\cdots\!49$$$$T^{12}$$)($$1 - 33976 T - 11979920730 T^{2} + 1870850391619312 T^{3} + 3904959771682438313 T^{4} -$$$$16\!\cdots\!64$$$$T^{5} +$$$$12\!\cdots\!22$$$$T^{6} +$$$$57\!\cdots\!68$$$$T^{7} -$$$$11\!\cdots\!00$$$$T^{8} +$$$$49\!\cdots\!76$$$$T^{9} +$$$$91\!\cdots\!78$$$$T^{10} -$$$$10\!\cdots\!52$$$$T^{11} +$$$$21\!\cdots\!13$$$$T^{12} +$$$$87\!\cdots\!84$$$$T^{13} -$$$$48\!\cdots\!70$$$$T^{14} -$$$$11\!\cdots\!68$$$$T^{15} +$$$$29\!\cdots\!01$$$$T^{16}$$)($$1 - 40541 T - 17893496138 T^{2} + 2263333692661293 T^{3} + 99710157551726941410 T^{4} -$$$$30\!\cdots\!95$$$$T^{5} +$$$$10\!\cdots\!20$$$$T^{6} +$$$$21\!\cdots\!29$$$$T^{7} -$$$$20\!\cdots\!15$$$$T^{8} -$$$$65\!\cdots\!06$$$$T^{9} +$$$$19\!\cdots\!00$$$$T^{10} -$$$$56\!\cdots\!42$$$$T^{11} -$$$$15\!\cdots\!35$$$$T^{12} +$$$$13\!\cdots\!97$$$$T^{13} +$$$$56\!\cdots\!20$$$$T^{14} -$$$$14\!\cdots\!15$$$$T^{15} +$$$$39\!\cdots\!90$$$$T^{16} +$$$$77\!\cdots\!49$$$$T^{17} -$$$$52\!\cdots\!38$$$$T^{18} -$$$$10\!\cdots\!37$$$$T^{19} +$$$$21\!\cdots\!49$$$$T^{20}$$)($$1 - 143167 T - 11385949647 T^{2} + 1605240582289122 T^{3} + 72062857810158958812 T^{4} +$$$$63\!\cdots\!68$$$$T^{5} -$$$$11\!\cdots\!23$$$$T^{6} +$$$$18\!\cdots\!83$$$$T^{7} +$$$$54\!\cdots\!84$$$$T^{8} -$$$$13\!\cdots\!39$$$$T^{9} +$$$$92\!\cdots\!23$$$$T^{10} +$$$$39\!\cdots\!32$$$$T^{11} -$$$$23\!\cdots\!89$$$$T^{12} +$$$$26\!\cdots\!01$$$$T^{13} -$$$$75\!\cdots\!38$$$$T^{14} +$$$$22\!\cdots\!57$$$$T^{15} -$$$$17\!\cdots\!61$$$$T^{16} +$$$$24\!\cdots\!76$$$$T^{17} +$$$$50\!\cdots\!23$$$$T^{18} -$$$$62\!\cdots\!23$$$$T^{19} +$$$$21\!\cdots\!16$$$$T^{20} +$$$$64\!\cdots\!19$$$$T^{21} -$$$$34\!\cdots\!23$$$$T^{22} +$$$$16\!\cdots\!76$$$$T^{23} +$$$$15\!\cdots\!88$$$$T^{24} +$$$$30\!\cdots\!46$$$$T^{25} -$$$$18\!\cdots\!47$$$$T^{26} -$$$$19\!\cdots\!19$$$$T^{27} +$$$$11\!\cdots\!49$$$$T^{28}$$)($$1 + 291814 T + 3048369358 T^{2} - 2374481152502668 T^{3} +$$$$84\!\cdots\!84$$$$T^{4} +$$$$10\!\cdots\!50$$$$T^{5} -$$$$98\!\cdots\!52$$$$T^{6} +$$$$68\!\cdots\!82$$$$T^{7} +$$$$26\!\cdots\!07$$$$T^{8} -$$$$16\!\cdots\!50$$$$T^{9} -$$$$15\!\cdots\!80$$$$T^{10} +$$$$23\!\cdots\!78$$$$T^{11} +$$$$13\!\cdots\!28$$$$T^{12} -$$$$13\!\cdots\!96$$$$T^{13} +$$$$11\!\cdots\!78$$$$T^{14} +$$$$12\!\cdots\!42$$$$T^{15} -$$$$59\!\cdots\!92$$$$T^{16} +$$$$10\!\cdots\!94$$$$T^{17} +$$$$84\!\cdots\!22$$$$T^{18} -$$$$82\!\cdots\!28$$$$T^{19} +$$$$75\!\cdots\!28$$$$T^{20} +$$$$10\!\cdots\!46$$$$T^{21} -$$$$60\!\cdots\!20$$$$T^{22} -$$$$55\!\cdots\!50$$$$T^{23} +$$$$78\!\cdots\!07$$$$T^{24} +$$$$17\!\cdots\!74$$$$T^{25} -$$$$21\!\cdots\!48$$$$T^{26} +$$$$19\!\cdots\!50$$$$T^{27} +$$$$13\!\cdots\!84$$$$T^{28} -$$$$32\!\cdots\!76$$$$T^{29} +$$$$36\!\cdots\!42$$$$T^{30} +$$$$29\!\cdots\!02$$$$T^{31} +$$$$87\!\cdots\!01$$$$T^{32}$$)($$1 - 66332 T - 19837478133 T^{2} + 853745862817084 T^{3} +$$$$20\!\cdots\!30$$$$T^{4} -$$$$13\!\cdots\!60$$$$T^{5} -$$$$27\!\cdots\!31$$$$T^{6} +$$$$17\!\cdots\!56$$$$T^{7} +$$$$31\!\cdots\!26$$$$T^{8} -$$$$14\!\cdots\!76$$$$T^{9} -$$$$28\!\cdots\!51$$$$T^{10} -$$$$23\!\cdots\!96$$$$T^{11} +$$$$30\!\cdots\!96$$$$T^{12} -$$$$15\!\cdots\!24$$$$T^{13} -$$$$31\!\cdots\!79$$$$T^{14} +$$$$41\!\cdots\!24$$$$T^{15} +$$$$28\!\cdots\!37$$$$T^{16} -$$$$17\!\cdots\!56$$$$T^{17} -$$$$27\!\cdots\!50$$$$T^{18} +$$$$19\!\cdots\!72$$$$T^{19} +$$$$25\!\cdots\!24$$$$T^{20} +$$$$17\!\cdots\!04$$$$T^{21} -$$$$20\!\cdots\!50$$$$T^{22} -$$$$10\!\cdots\!08$$$$T^{23} +$$$$15\!\cdots\!37$$$$T^{24} +$$$$19\!\cdots\!68$$$$T^{25} -$$$$12\!\cdots\!71$$$$T^{26} -$$$$54\!\cdots\!32$$$$T^{27} +$$$$90\!\cdots\!96$$$$T^{28} -$$$$60\!\cdots\!72$$$$T^{29} -$$$$62\!\cdots\!99$$$$T^{30} -$$$$27\!\cdots\!68$$$$T^{31} +$$$$51\!\cdots\!26$$$$T^{32} +$$$$24\!\cdots\!92$$$$T^{33} -$$$$32\!\cdots\!19$$$$T^{34} -$$$$13\!\cdots\!80$$$$T^{35} +$$$$18\!\cdots\!30$$$$T^{36} +$$$$64\!\cdots\!88$$$$T^{37} -$$$$12\!\cdots\!17$$$$T^{38} -$$$$36\!\cdots\!76$$$$T^{39} +$$$$47\!\cdots\!01$$$$T^{40}$$)($$1 - 66332 T - 19837478133 T^{2} + 853745862817084 T^{3} +$$$$20\!\cdots\!30$$$$T^{4} -$$$$13\!\cdots\!60$$$$T^{5} -$$$$27\!\cdots\!31$$$$T^{6} +$$$$17\!\cdots\!56$$$$T^{7} +$$$$31\!\cdots\!26$$$$T^{8} -$$$$14\!\cdots\!76$$$$T^{9} -$$$$28\!\cdots\!51$$$$T^{10} -$$$$23\!\cdots\!96$$$$T^{11} +$$$$30\!\cdots\!96$$$$T^{12} -$$$$15\!\cdots\!24$$$$T^{13} -$$$$31\!\cdots\!79$$$$T^{14} +$$$$41\!\cdots\!24$$$$T^{15} +$$$$28\!\cdots\!37$$$$T^{16} -$$$$17\!\cdots\!56$$$$T^{17} -$$$$27\!\cdots\!50$$$$T^{18} +$$$$19\!\cdots\!72$$$$T^{19} +$$$$25\!\cdots\!24$$$$T^{20} +$$$$17\!\cdots\!04$$$$T^{21} -$$$$20\!\cdots\!50$$$$T^{22} -$$$$10\!\cdots\!08$$$$T^{23} +$$$$15\!\cdots\!37$$$$T^{24} +$$$$19\!\cdots\!68$$$$T^{25} -$$$$12\!\cdots\!71$$$$T^{26} -$$$$54\!\cdots\!32$$$$T^{27} +$$$$90\!\cdots\!96$$$$T^{28} -$$$$60\!\cdots\!72$$$$T^{29} -$$$$62\!\cdots\!99$$$$T^{30} -$$$$27\!\cdots\!68$$$$T^{31} +$$$$51\!\cdots\!26$$$$T^{32} +$$$$24\!\cdots\!92$$$$T^{33} -$$$$32\!\cdots\!19$$$$T^{34} -$$$$13\!\cdots\!80$$$$T^{35} +$$$$18\!\cdots\!30$$$$T^{36} +$$$$64\!\cdots\!88$$$$T^{37} -$$$$12\!\cdots\!17$$$$T^{38} -$$$$36\!\cdots\!76$$$$T^{39} +$$$$47\!\cdots\!01$$$$T^{40}$$)($$( 1 - 20887 T - 25010157506 T^{2} - 1312788479391993 T^{3} +$$$$37\!\cdots\!70$$$$T^{4} +$$$$31\!\cdots\!95$$$$T^{5} -$$$$19\!\cdots\!16$$$$T^{6} -$$$$39\!\cdots\!09$$$$T^{7} -$$$$26\!\cdots\!87$$$$T^{8} +$$$$13\!\cdots\!90$$$$T^{9} +$$$$15\!\cdots\!36$$$$T^{10} +$$$$11\!\cdots\!30$$$$T^{11} -$$$$19\!\cdots\!63$$$$T^{12} -$$$$24\!\cdots\!37$$$$T^{13} -$$$$10\!\cdots\!16$$$$T^{14} +$$$$14\!\cdots\!15$$$$T^{15} +$$$$14\!\cdots\!30$$$$T^{16} -$$$$45\!\cdots\!49$$$$T^{17} -$$$$73\!\cdots\!06$$$$T^{18} -$$$$53\!\cdots\!59$$$$T^{19} +$$$$21\!\cdots\!49$$$$T^{20} )^{2}$$)