Properties

 Label 336.4 Level 336 Weight 4 Dimension 3680 Nonzero newspaces 16 Sturm bound 24576 Trace bound 8

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Defining parameters

 Level: $$N$$ = $$336 = 2^{4} \cdot 3 \cdot 7$$ Weight: $$k$$ = $$4$$ Nonzero newspaces: $$16$$ Sturm bound: $$24576$$ Trace bound: $$8$$

Dimensions

The following table gives the dimensions of various subspaces of $$M_{4}(\Gamma_1(336))$$.

Total New Old
Modular forms 9552 3772 5780
Cusp forms 8880 3680 5200
Eisenstein series 672 92 580

Trace form

 $$3680q + q^{3} + 24q^{4} - 4q^{5} - 68q^{6} - 42q^{7} - 168q^{8} - 117q^{9} + O(q^{10})$$ $$3680q + q^{3} + 24q^{4} - 4q^{5} - 68q^{6} - 42q^{7} - 168q^{8} - 117q^{9} - 280q^{10} + 120q^{11} + 196q^{12} + 4q^{13} + 348q^{14} - 318q^{15} + 584q^{16} + 52q^{17} - 44q^{18} + 458q^{19} - 160q^{20} + 425q^{21} - 1376q^{22} + 244q^{23} - 228q^{24} - 572q^{25} + 40q^{26} + 148q^{27} + 616q^{28} - 716q^{29} + 1468q^{30} + 702q^{31} + 1920q^{32} - 1075q^{33} + 344q^{34} + 924q^{35} + 968q^{36} - 746q^{37} - 2512q^{38} - 1384q^{39} - 4776q^{40} - 828q^{41} - 3960q^{42} - 2048q^{43} - 6992q^{44} + 117q^{45} - 2688q^{46} + 540q^{47} - 1476q^{48} + 8448q^{49} + 2784q^{50} + 2205q^{51} + 6608q^{52} + 2236q^{53} + 5492q^{54} + 96q^{55} + 7896q^{56} + 522q^{57} + 5184q^{58} + 3320q^{59} + 6716q^{60} + 3742q^{61} + 4800q^{62} + 177q^{63} + 1320q^{64} - 4056q^{65} - 2540q^{66} + 6554q^{67} - 8984q^{68} - 764q^{69} - 7952q^{70} + 356q^{71} + 2476q^{72} + 9638q^{73} + 5480q^{74} - 2752q^{75} + 4872q^{76} - 2672q^{77} + 6456q^{78} - 12082q^{79} - 1424q^{80} + 2939q^{81} - 1480q^{82} - 11736q^{83} + 284q^{84} - 10404q^{85} + 3424q^{86} - 1236q^{87} - 9880q^{88} + 132q^{89} - 6652q^{90} - 6148q^{91} - 4136q^{92} + 2941q^{93} + 6280q^{94} - 7108q^{95} - 6308q^{96} + 1276q^{97} + 5168q^{98} - 9682q^{99} + O(q^{100})$$

Decomposition of $$S_{4}^{\mathrm{new}}(\Gamma_1(336))$$

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
336.4.a $$\chi_{336}(1, \cdot)$$ 336.4.a.a 1 1
336.4.a.b 1
336.4.a.c 1
336.4.a.d 1
336.4.a.e 1
336.4.a.f 1
336.4.a.g 1
336.4.a.h 1
336.4.a.i 1
336.4.a.j 1
336.4.a.k 1
336.4.a.l 1
336.4.a.m 2
336.4.a.n 2
336.4.a.o 2
336.4.b $$\chi_{336}(223, \cdot)$$ 336.4.b.a 2 1
336.4.b.b 2
336.4.b.c 2
336.4.b.d 2
336.4.b.e 8
336.4.b.f 8
336.4.c $$\chi_{336}(169, \cdot)$$ None 0 1
336.4.h $$\chi_{336}(239, \cdot)$$ 336.4.h.a 12 1
336.4.h.b 24
336.4.i $$\chi_{336}(41, \cdot)$$ None 0 1
336.4.j $$\chi_{336}(71, \cdot)$$ None 0 1
336.4.k $$\chi_{336}(209, \cdot)$$ 336.4.k.a 2 1
336.4.k.b 4
336.4.k.c 8
336.4.k.d 8
336.4.k.e 24
336.4.p $$\chi_{336}(55, \cdot)$$ None 0 1
336.4.q $$\chi_{336}(193, \cdot)$$ 336.4.q.a 2 2
336.4.q.b 2
336.4.q.c 2
336.4.q.d 2
336.4.q.e 2
336.4.q.f 2
336.4.q.g 4
336.4.q.h 4
336.4.q.i 4
336.4.q.j 4
336.4.q.k 6
336.4.q.l 6
336.4.q.m 8
336.4.s $$\chi_{336}(155, \cdot)$$ n/a 288 2
336.4.u $$\chi_{336}(139, \cdot)$$ n/a 192 2
336.4.w $$\chi_{336}(85, \cdot)$$ n/a 144 2
336.4.y $$\chi_{336}(125, \cdot)$$ n/a 376 2
336.4.bb $$\chi_{336}(103, \cdot)$$ None 0 2
336.4.bc $$\chi_{336}(17, \cdot)$$ 336.4.bc.a 2 2
336.4.bc.b 2
336.4.bc.c 12
336.4.bc.d 12
336.4.bc.e 16
336.4.bc.f 48
336.4.bd $$\chi_{336}(23, \cdot)$$ None 0 2
336.4.bi $$\chi_{336}(89, \cdot)$$ None 0 2
336.4.bj $$\chi_{336}(95, \cdot)$$ 336.4.bj.a 2 2
336.4.bj.b 2
336.4.bj.c 2
336.4.bj.d 2
336.4.bj.e 28
336.4.bj.f 28
336.4.bj.g 32
336.4.bk $$\chi_{336}(25, \cdot)$$ None 0 2
336.4.bl $$\chi_{336}(31, \cdot)$$ 336.4.bl.a 2 2
336.4.bl.b 2
336.4.bl.c 2
336.4.bl.d 2
336.4.bl.e 6
336.4.bl.f 6
336.4.bl.g 6
336.4.bl.h 6
336.4.bl.i 8
336.4.bl.j 8
336.4.bo $$\chi_{336}(5, \cdot)$$ n/a 752 4
336.4.bq $$\chi_{336}(37, \cdot)$$ n/a 384 4
336.4.bs $$\chi_{336}(19, \cdot)$$ n/a 384 4
336.4.bu $$\chi_{336}(11, \cdot)$$ n/a 752 4

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

Decomposition of $$S_{4}^{\mathrm{old}}(\Gamma_1(336))$$ into lower level spaces

$$S_{4}^{\mathrm{old}}(\Gamma_1(336)) \cong$$ $$S_{4}^{\mathrm{new}}(\Gamma_1(6))$$$$^{\oplus 8}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(7))$$$$^{\oplus 10}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(8))$$$$^{\oplus 8}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(12))$$$$^{\oplus 6}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(14))$$$$^{\oplus 8}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(16))$$$$^{\oplus 4}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(21))$$$$^{\oplus 5}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(24))$$$$^{\oplus 4}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(28))$$$$^{\oplus 6}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(42))$$$$^{\oplus 4}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(48))$$$$^{\oplus 2}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(56))$$$$^{\oplus 4}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(84))$$$$^{\oplus 3}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(112))$$$$^{\oplus 2}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(168))$$$$^{\oplus 2}$$

Hecke characteristic polynomials

$p$ $F_p(T)$
$2$ 1
$3$ ($$1 + 3 T$$)($$1 + 3 T$$)($$1 + 3 T$$)($$1 + 3 T$$)($$1 + 3 T$$)($$1 - 3 T$$)($$1 - 3 T$$)($$1 - 3 T$$)($$1 - 3 T$$)($$1 - 3 T$$)($$1 - 3 T$$)($$1 - 3 T$$)($$( 1 + 3 T )^{2}$$)($$( 1 + 3 T )^{2}$$)($$( 1 - 3 T )^{2}$$)($$( 1 + 3 T )^{2}$$)($$( 1 + 3 T )^{2}$$)($$( 1 - 3 T )^{2}$$)($$( 1 - 3 T )^{2}$$)($$( 1 + 3 T )^{8}$$)($$( 1 - 3 T )^{8}$$)($$1 - 38 T^{2} + 939 T^{4} - 10332 T^{6} + 684531 T^{8} - 20194758 T^{10} + 387420489 T^{12}$$)($$1 + 27 T^{2}$$)($$1 - 48 T^{2} + 729 T^{4}$$)($$1 + 30 T^{2} + 450 T^{4} + 21870 T^{6} + 531441 T^{8}$$)($$1 + 6 T^{2} + 882 T^{4} + 4374 T^{6} + 531441 T^{8}$$)($$1 + 3 T + 9 T^{2}$$)($$1 + 3 T + 9 T^{2}$$)($$1 + 3 T + 9 T^{2}$$)($$1 + 3 T + 9 T^{2}$$)($$1 - 3 T + 9 T^{2}$$)($$1 - 3 T + 9 T^{2}$$)($$( 1 + 3 T + 9 T^{2} )^{2}$$)($$( 1 + 3 T + 9 T^{2} )^{2}$$)($$( 1 - 3 T + 9 T^{2} )^{2}$$)($$( 1 - 3 T + 9 T^{2} )^{2}$$)($$( 1 + 3 T + 9 T^{2} )^{3}$$)($$( 1 - 3 T + 9 T^{2} )^{3}$$)($$( 1 - 3 T + 9 T^{2} )^{4}$$)($$1 + 9 T + 27 T^{2}$$)($$1 - 9 T + 27 T^{2}$$)($$1 + 42 T^{2} + 630 T^{4} - 6048 T^{5} + 15174 T^{6} - 163296 T^{7} + 459270 T^{8} + 22320522 T^{10} + 387420489 T^{12}$$)($$1 - 3 T + 6 T^{2} - 9 T^{3} - 198 T^{4} + 2565 T^{5} - 36018 T^{6} + 69255 T^{7} - 144342 T^{8} - 177147 T^{9} + 3188646 T^{10} - 43046721 T^{11} + 387420489 T^{12}$$)($$1 - 9 T^{2} + 9 T^{4} + 4536 T^{5} + 17766 T^{6} - 9072 T^{7} - 442422 T^{8} - 244944 T^{9} + 12951414 T^{10} + 89282088 T^{11} + 4782969 T^{12} - 3486784401 T^{14} + 282429536481 T^{16}$$)($$1 + 9 T + 27 T^{2}$$)($$1 + 9 T + 27 T^{2}$$)($$1 - 9 T + 27 T^{2}$$)($$1 - 9 T + 27 T^{2}$$)($$1 + 3 T + 9 T^{2}$$)($$1 + 3 T + 9 T^{2}$$)($$1 - 3 T + 9 T^{2}$$)($$1 - 3 T + 9 T^{2}$$)($$( 1 + 3 T + 9 T^{2} )^{3}$$)($$( 1 + 3 T + 9 T^{2} )^{3}$$)($$( 1 - 3 T + 9 T^{2} )^{3}$$)($$( 1 - 3 T + 9 T^{2} )^{3}$$)($$( 1 + 3 T + 9 T^{2} )^{4}$$)($$( 1 - 3 T + 9 T^{2} )^{4}$$)
$5$ ($$1 + 16 T + 125 T^{2}$$)($$1 + 10 T + 125 T^{2}$$)($$1 + 2 T + 125 T^{2}$$)($$1 - 2 T + 125 T^{2}$$)($$1 - 14 T + 125 T^{2}$$)($$1 + 18 T + 125 T^{2}$$)($$1 + 10 T + 125 T^{2}$$)($$1 + 4 T + 125 T^{2}$$)($$1 + 2 T + 125 T^{2}$$)($$1 - 4 T + 125 T^{2}$$)($$1 - 6 T + 125 T^{2}$$)($$1 - 18 T + 125 T^{2}$$)($$1 - 6 T + 202 T^{2} - 750 T^{3} + 15625 T^{4}$$)($$1 - 14 T + 122 T^{2} - 1750 T^{3} + 15625 T^{4}$$)($$1 + 6 T - 78 T^{2} + 750 T^{3} + 15625 T^{4}$$)($$1 - 244 T^{2} + 15625 T^{4}$$)($$1 - 58 T^{2} + 15625 T^{4}$$)($$1 - 58 T^{2} + 15625 T^{4}$$)($$1 - 244 T^{2} + 15625 T^{4}$$)($$1 - 172 T^{2} + 12088 T^{4} - 1922884 T^{6} + 432877966 T^{8} - 30045062500 T^{10} + 2951171875000 T^{12} - 656127929687500 T^{14} + 59604644775390625 T^{16}$$)($$1 - 172 T^{2} + 12088 T^{4} - 1922884 T^{6} + 432877966 T^{8} - 30045062500 T^{10} + 2951171875000 T^{12} - 656127929687500 T^{14} + 59604644775390625 T^{16}$$)($$( 1 - 108 T^{2} + 7155 T^{4} - 1796312 T^{6} + 111796875 T^{8} - 26367187500 T^{10} + 3814697265625 T^{12} )^{2}$$)($$( 1 + 125 T^{2} )^{2}$$)($$( 1 + 148 T^{2} + 15625 T^{4} )^{2}$$)($$( 1 + 170 T^{2} + 37242 T^{4} + 2656250 T^{6} + 244140625 T^{8} )^{2}$$)($$( 1 + 170 T^{2} + 23850 T^{4} + 2656250 T^{6} + 244140625 T^{8} )^{2}$$)($$1 + 7 T - 76 T^{2} + 875 T^{3} + 15625 T^{4}$$)($$1 + 2 T - 121 T^{2} + 250 T^{3} + 15625 T^{4}$$)($$1 - 11 T - 4 T^{2} - 1375 T^{3} + 15625 T^{4}$$)($$1 - 15 T + 100 T^{2} - 1875 T^{3} + 15625 T^{4}$$)($$1 - 3 T - 116 T^{2} - 375 T^{3} + 15625 T^{4}$$)($$1 - 6 T - 89 T^{2} - 750 T^{3} + 15625 T^{4}$$)($$1 + 9 T - 63 T^{2} - 954 T^{3} - 5014 T^{4} - 119250 T^{5} - 984375 T^{6} + 17578125 T^{7} + 244140625 T^{8}$$)($$1 - 3 T - 115 T^{2} + 378 T^{3} - 1374 T^{4} + 47250 T^{5} - 1796875 T^{6} - 5859375 T^{7} + 244140625 T^{8}$$)($$1 + 11 T - 111 T^{2} - 198 T^{3} + 23074 T^{4} - 24750 T^{5} - 1734375 T^{6} + 21484375 T^{7} + 244140625 T^{8}$$)($$1 + 5 T + 105 T^{2} - 1650 T^{3} - 12350 T^{4} - 206250 T^{5} + 1640625 T^{6} + 9765625 T^{7} + 244140625 T^{8}$$)($$1 + 11 T - 62 T^{2} - 1015 T^{3} - 6040 T^{4} - 54313 T^{5} + 121696 T^{6} - 6789125 T^{7} - 94375000 T^{8} - 1982421875 T^{9} - 15136718750 T^{10} + 335693359375 T^{11} + 3814697265625 T^{12}$$)($$1 - 11 T - 34 T^{2} + 3899 T^{3} - 26172 T^{4} - 179935 T^{5} + 6863704 T^{6} - 22491875 T^{7} - 408937500 T^{8} + 7615234375 T^{9} - 8300781250 T^{10} - 335693359375 T^{11} + 3814697265625 T^{12}$$)($$1 + 4 T - 187 T^{2} - 1676 T^{3} + 16761 T^{4} + 252256 T^{5} + 3316470 T^{6} - 18409832 T^{7} - 639814466 T^{8} - 2301229000 T^{9} + 51819843750 T^{10} + 492687500000 T^{11} + 4092041015625 T^{12} - 51147460937500 T^{13} - 713348388671875 T^{14} + 1907348632812500 T^{15} + 59604644775390625 T^{16}$$)($$1 - 125 T^{2} + 15625 T^{4}$$)($$1 - 125 T^{2} + 15625 T^{4}$$)($$1 - 153 T^{2} + 4023 T^{4} + 4723304 T^{6} - 515325447 T^{8} - 19197188991 T^{10} + 10823738069886 T^{12} - 299956077984375 T^{14} - 125811876708984375 T^{16} + 18017974853515625000 T^{18} +$$$$23\!\cdots\!75$$$$T^{20} -$$$$14\!\cdots\!25$$$$T^{22} +$$$$14\!\cdots\!25$$$$T^{24}$$)($$1 - 354 T^{2} + 53346 T^{4} - 3913744 T^{6} + 238386078 T^{8} - 66225097710 T^{10} + 12349753291374 T^{12} - 1034767151718750 T^{14} + 58199726074218750 T^{16} - 14929748535156250000 T^{18} +$$$$31\!\cdots\!50$$$$T^{20} -$$$$32\!\cdots\!50$$$$T^{22} +$$$$14\!\cdots\!25$$$$T^{24}$$)($$1 - 403 T^{2} + 80508 T^{4} - 11588123 T^{6} + 1123823297 T^{8} - 22213566336 T^{10} - 16629085192034 T^{12} + 4231766344575590 T^{14} - 641674862552716344 T^{16} + 66121349133993593750 T^{18} -$$$$40\!\cdots\!50$$$$T^{20} -$$$$84\!\cdots\!00$$$$T^{22} +$$$$66\!\cdots\!25$$$$T^{24} -$$$$10\!\cdots\!75$$$$T^{26} +$$$$11\!\cdots\!00$$$$T^{28} -$$$$91\!\cdots\!75$$$$T^{30} +$$$$35\!\cdots\!25$$$$T^{32}$$)($$1 + 125 T^{2} + 15625 T^{4}$$)($$1 + 125 T^{2} + 15625 T^{4}$$)($$1 + 125 T^{2} + 15625 T^{4}$$)($$1 + 125 T^{2} + 15625 T^{4}$$)($$1 + 6 T + 137 T^{2} + 750 T^{3} + 15625 T^{4}$$)($$1 + 3 T + 128 T^{2} + 375 T^{3} + 15625 T^{4}$$)($$1 + 6 T + 137 T^{2} + 750 T^{3} + 15625 T^{4}$$)($$1 + 3 T + 128 T^{2} + 375 T^{3} + 15625 T^{4}$$)($$1 + 21 T + 294 T^{2} + 3087 T^{3} + 30156 T^{4} + 237237 T^{5} + 1428572 T^{6} + 29654625 T^{7} + 471187500 T^{8} + 6029296875 T^{9} + 71777343750 T^{10} + 640869140625 T^{11} + 3814697265625 T^{12}$$)($$1 - 12 T + 330 T^{2} - 3384 T^{3} + 51738 T^{4} - 338712 T^{5} + 6444902 T^{6} - 42339000 T^{7} + 808406250 T^{8} - 6609375000 T^{9} + 80566406250 T^{10} - 366210937500 T^{11} + 3814697265625 T^{12}$$)($$1 + 21 T + 294 T^{2} + 3087 T^{3} + 30156 T^{4} + 237237 T^{5} + 1428572 T^{6} + 29654625 T^{7} + 471187500 T^{8} + 6029296875 T^{9} + 71777343750 T^{10} + 640869140625 T^{11} + 3814697265625 T^{12}$$)($$1 - 12 T + 330 T^{2} - 3384 T^{3} + 51738 T^{4} - 338712 T^{5} + 6444902 T^{6} - 42339000 T^{7} + 808406250 T^{8} - 6609375000 T^{9} + 80566406250 T^{10} - 366210937500 T^{11} + 3814697265625 T^{12}$$)($$1 - 18 T + 251 T^{2} - 2574 T^{3} + 7093 T^{4} - 70956 T^{5} + 3046682 T^{6} - 70510536 T^{7} + 1031534314 T^{8} - 8813817000 T^{9} + 47604406250 T^{10} - 138585937500 T^{11} + 1731689453125 T^{12} - 78552246093750 T^{13} + 957489013671875 T^{14} - 8583068847656250 T^{15} + 59604644775390625 T^{16}$$)($$1 - 18 T + 251 T^{2} - 2574 T^{3} + 7093 T^{4} - 70956 T^{5} + 3046682 T^{6} - 70510536 T^{7} + 1031534314 T^{8} - 8813817000 T^{9} + 47604406250 T^{10} - 138585937500 T^{11} + 1731689453125 T^{12} - 78552246093750 T^{13} + 957489013671875 T^{14} - 8583068847656250 T^{15} + 59604644775390625 T^{16}$$)
$7$ ($$1 + 7 T$$)($$1 - 7 T$$)($$1 - 7 T$$)($$1 - 7 T$$)($$1 - 7 T$$)($$1 + 7 T$$)($$1 + 7 T$$)($$1 - 7 T$$)($$1 + 7 T$$)($$1 - 7 T$$)($$1 + 7 T$$)($$1 + 7 T$$)($$( 1 + 7 T )^{2}$$)($$( 1 + 7 T )^{2}$$)($$( 1 - 7 T )^{2}$$)($$1 + 34 T + 343 T^{2}$$)($$1 - 28 T + 343 T^{2}$$)($$1 + 28 T + 343 T^{2}$$)($$1 - 34 T + 343 T^{2}$$)($$1 + 4 T + 16 T^{2} - 3052 T^{3} - 171010 T^{4} - 1046836 T^{5} + 1882384 T^{6} + 161414428 T^{7} + 13841287201 T^{8}$$)($$1 - 4 T + 16 T^{2} + 3052 T^{3} - 171010 T^{4} + 1046836 T^{5} + 1882384 T^{6} - 161414428 T^{7} + 13841287201 T^{8}$$)($$( 1 + 49 T^{2} )^{6}$$)($$1 - 20 T + 343 T^{2}$$)($$( 1 + 14 T + 343 T^{2} )^{2}$$)($$( 1 + 2 T - 546 T^{2} + 686 T^{3} + 117649 T^{4} )^{2}$$)($$( 1 - 10 T + 126 T^{2} - 3430 T^{3} + 117649 T^{4} )^{2}$$)($$1 - 35 T + 343 T^{2}$$)($$1 + 35 T + 343 T^{2}$$)($$1 + 7 T + 343 T^{2}$$)($$1 + 35 T + 343 T^{2}$$)($$1 - 7 T + 343 T^{2}$$)($$1 - 7 T + 343 T^{2}$$)($$1 + 181 T^{2} + 117649 T^{4}$$)($$1 - 20 T + 273 T^{2} - 6860 T^{3} + 117649 T^{4}$$)($$1 + 6 T - 77 T^{2} + 2058 T^{3} + 117649 T^{4}$$)($$1 - 659 T^{2} + 117649 T^{4}$$)($$1 - 13 T + 236 T^{2} - 12145 T^{3} + 80948 T^{4} - 1529437 T^{5} + 40353607 T^{6}$$)($$1 - T - 16 T^{2} - 9793 T^{3} - 5488 T^{4} - 117649 T^{5} + 40353607 T^{6}$$)($$1 + 18 T + 84 T^{2} - 7560 T^{3} - 128723 T^{4} - 2593080 T^{5} + 9882516 T^{6} + 726364926 T^{7} + 13841287201 T^{8}$$)($$1 + 37 T + 343 T^{2}$$)($$1 - 17 T + 343 T^{2}$$)($$( 1 - 21 T + 525 T^{2} - 11270 T^{3} + 180075 T^{4} - 2470629 T^{5} + 40353607 T^{6} )^{2}$$)($$( 1 - 28 T + 476 T^{2} - 10780 T^{3} + 163268 T^{4} - 3294172 T^{5} + 40353607 T^{6} )^{2}$$)($$( 1 + 40 T + 595 T^{2} + 17080 T^{3} + 498232 T^{4} + 5858440 T^{5} + 70001155 T^{6} + 1614144280 T^{7} + 13841287201 T^{8} )^{2}$$)($$1 - 17 T + 343 T^{2}$$)($$1 - 37 T + 343 T^{2}$$)($$1 + 37 T + 343 T^{2}$$)($$1 + 17 T + 343 T^{2}$$)($$1 - 35 T + 343 T^{2}$$)($$1 + 7 T + 343 T^{2}$$)($$1 + 35 T + 343 T^{2}$$)($$1 - 7 T + 343 T^{2}$$)($$1 + 19 T - 280 T^{2} - 15365 T^{3} - 96040 T^{4} + 2235331 T^{5} + 40353607 T^{6}$$)($$1 + 7 T + 308 T^{2} + 6811 T^{3} + 105644 T^{4} + 823543 T^{5} + 40353607 T^{6}$$)($$1 - 19 T - 280 T^{2} + 15365 T^{3} - 96040 T^{4} - 2235331 T^{5} + 40353607 T^{6}$$)($$1 - 7 T + 308 T^{2} - 6811 T^{3} + 105644 T^{4} - 823543 T^{5} + 40353607 T^{6}$$)($$1 + 12 T + 242 T^{2} + 168 T^{3} - 88389 T^{4} + 57624 T^{5} + 28471058 T^{6} + 484243284 T^{7} + 13841287201 T^{8}$$)($$1 - 12 T + 242 T^{2} - 168 T^{3} - 88389 T^{4} - 57624 T^{5} + 28471058 T^{6} - 484243284 T^{7} + 13841287201 T^{8}$$)
$11$ ($$1 - 18 T + 1331 T^{2}$$)($$1 - 52 T + 1331 T^{2}$$)($$1 + 52 T + 1331 T^{2}$$)($$1 - 8 T + 1331 T^{2}$$)($$1 + 4 T + 1331 T^{2}$$)($$1 - 36 T + 1331 T^{2}$$)($$1 - 12 T + 1331 T^{2}$$)($$1 + 62 T + 1331 T^{2}$$)($$1 + 12 T + 1331 T^{2}$$)($$1 - 26 T + 1331 T^{2}$$)($$1 + 36 T + 1331 T^{2}$$)($$1 - 72 T + 1331 T^{2}$$)($$1 - 6 T + 1246 T^{2} - 7986 T^{3} + 1771561 T^{4}$$)($$1 + 18 T + 1150 T^{2} + 23958 T^{3} + 1771561 T^{4}$$)($$1 + 26 T + 2494 T^{2} + 34606 T^{3} + 1771561 T^{4}$$)($$1 + 512 T^{2} + 1771561 T^{4}$$)($$1 - 2650 T^{2} + 1771561 T^{4}$$)($$1 - 2650 T^{2} + 1771561 T^{4}$$)($$1 + 512 T^{2} + 1771561 T^{4}$$)($$1 - 7684 T^{2} + 29103112 T^{4} - 68711357356 T^{6} + 109991929594990 T^{8} - 121726360948952716 T^{10} + 91338032551689455752 T^{12} -$$$$42\!\cdots\!04$$$$T^{14} +$$$$98\!\cdots\!41$$$$T^{16}$$)($$1 - 7684 T^{2} + 29103112 T^{4} - 68711357356 T^{6} + 109991929594990 T^{8} - 121726360948952716 T^{10} + 91338032551689455752 T^{12} -$$$$42\!\cdots\!04$$$$T^{14} +$$$$98\!\cdots\!41$$$$T^{16}$$)($$( 1 + 1512 T^{2} + 3234063 T^{4} + 2362820192 T^{6} + 5729339882343 T^{8} + 4745303705602152 T^{10} + 5559917313492231481 T^{12} )^{2}$$)($$( 1 - 1331 T^{2} )^{2}$$)($$( 1 - 1574 T^{2} + 1771561 T^{4} )^{2}$$)($$( 1 - 2408 T^{2} + 3883038 T^{4} - 4265918888 T^{6} + 3138428376721 T^{8} )^{2}$$)($$( 1 - 608 T^{2} + 3445998 T^{4} - 1077109088 T^{6} + 3138428376721 T^{8} )^{2}$$)($$1 - 7 T - 1282 T^{2} - 9317 T^{3} + 1771561 T^{4}$$)($$1 + 18 T - 1007 T^{2} + 23958 T^{3} + 1771561 T^{4}$$)($$1 - 39 T + 190 T^{2} - 51909 T^{3} + 1771561 T^{4}$$)($$1 + 9 T - 1250 T^{2} + 11979 T^{3} + 1771561 T^{4}$$)($$1 + 15 T - 1106 T^{2} + 19965 T^{3} + 1771561 T^{4}$$)($$1 + 30 T - 431 T^{2} + 39930 T^{3} + 1771561 T^{4}$$)($$1 - 5 T + 513 T^{2} + 15750 T^{3} - 1566692 T^{4} + 20963250 T^{5} + 908810793 T^{6} - 11789738455 T^{7} + 3138428376721 T^{8}$$)($$1 + 51 T - 583 T^{2} + 26622 T^{3} + 4904364 T^{4} + 35433882 T^{5} - 1032820063 T^{6} + 120255332241 T^{7} + 3138428376721 T^{8}$$)($$1 + 5 T - 279 T^{2} - 11790 T^{3} - 1712420 T^{4} - 15692490 T^{5} - 494265519 T^{6} + 11789738455 T^{7} + 3138428376721 T^{8}$$)($$1 - 67 T + 1041 T^{2} - 52662 T^{3} + 4142284 T^{4} - 70093122 T^{5} + 1844195001 T^{6} - 157982495297 T^{7} + 3138428376721 T^{8}$$)($$1 - 35 T - 1400 T^{2} + 113593 T^{3} - 198940 T^{4} - 87110135 T^{5} + 3928586038 T^{6} - 115943589685 T^{7} - 352434345340 T^{8} + 267846352063763 T^{9} - 4393799727409400 T^{10} - 146203685929547785 T^{11} + 5559917313492231481 T^{12}$$)($$1 + 19 T - 3008 T^{2} - 43697 T^{3} + 5842796 T^{4} + 44696503 T^{5} - 8130449114 T^{6} + 59491045493 T^{7} + 10350869524556 T^{8} - 103035240253627 T^{9} - 9440392557176768 T^{10} + 79367715218897369 T^{11} + 5559917313492231481 T^{12}$$)($$1 - 14 T + 267 T^{2} - 23034 T^{3} - 1860483 T^{4} + 72081800 T^{5} + 261037530 T^{6} - 4546553932 T^{7} + 1720862240674 T^{8} - 6051463283492 T^{9} + 462443907684330 T^{10} + 169965113873123800 T^{11} - 5838992641607016243 T^{12} - 96218734334320105134 T^{13} +$$$$14\!\cdots\!27$$$$T^{14} -$$$$10\!\cdots\!54$$$$T^{15} +$$$$98\!\cdots\!41$$$$T^{16}$$)($$1 + 1331 T^{2} + 1771561 T^{4}$$)($$1 + 1331 T^{2} + 1771561 T^{4}$$)($$1 + 2019 T^{2} + 1867287 T^{4} - 2418805472 T^{6} - 5977777080879 T^{8} - 1868235688039347 T^{10} + 1511141157857268366 T^{12} -$$$$33\!\cdots\!67$$$$T^{14} -$$$$18\!\cdots\!59$$$$T^{16} -$$$$13\!\cdots\!32$$$$T^{18} +$$$$18\!\cdots\!67$$$$T^{20} +$$$$35\!\cdots\!19$$$$T^{22} +$$$$30\!\cdots\!61$$$$T^{24}$$)($$1 + 4742 T^{2} + 10147682 T^{4} + 18336975648 T^{6} + 35136366245806 T^{8} + 55422032379705850 T^{10} + 74318354148055569358 T^{12} +$$$$98\!\cdots\!50$$$$T^{14} +$$$$11\!\cdots\!26$$$$T^{16} +$$$$10\!\cdots\!88$$$$T^{18} +$$$$99\!\cdots\!62$$$$T^{20} +$$$$82\!\cdots\!42$$$$T^{22} +$$$$30\!\cdots\!61$$$$T^{24}$$)($$1 + 5257 T^{2} + 14636052 T^{4} + 26439308609 T^{6} + 30586806197825 T^{8} + 12197776931270784 T^{10} - 42149657439654411554 T^{12} -$$$$12\!\cdots\!74$$$$T^{14} -$$$$21\!\cdots\!96$$$$T^{16} -$$$$22\!\cdots\!14$$$$T^{18} -$$$$13\!\cdots\!34$$$$T^{20} +$$$$67\!\cdots\!04$$$$T^{22} +$$$$30\!\cdots\!25$$$$T^{24} +$$$$46\!\cdots\!09$$$$T^{26} +$$$$45\!\cdots\!72$$$$T^{28} +$$$$28\!\cdots\!97$$$$T^{30} +$$$$97\!\cdots\!81$$$$T^{32}$$)($$1 - 1331 T^{2} + 1771561 T^{4}$$)($$1 - 1331 T^{2} + 1771561 T^{4}$$)($$1 - 1331 T^{2} + 1771561 T^{4}$$)($$1 - 1331 T^{2} + 1771561 T^{4}$$)($$1 + 114 T + 5663 T^{2} + 151734 T^{3} + 1771561 T^{4}$$)($$1 - 69 T + 2918 T^{2} - 91839 T^{3} + 1771561 T^{4}$$)($$1 - 114 T + 5663 T^{2} - 151734 T^{3} + 1771561 T^{4}$$)($$1 + 69 T + 2918 T^{2} + 91839 T^{3} + 1771561 T^{4}$$)($$1 + 75 T + 5820 T^{2} + 295875 T^{3} + 15300780 T^{4} + 654326115 T^{5} + 25949150606 T^{6} + 870908059065 T^{7} + 27106265117580 T^{8} + 697657773074625 T^{9} + 18265653152516220 T^{10} + 313293612706173825 T^{11} + 5559917313492231481 T^{12}$$)($$1 + 48 T + 3336 T^{2} + 123264 T^{3} + 5532936 T^{4} + 293154432 T^{5} + 9930474614 T^{6} + 390188548992 T^{7} + 9801933633096 T^{8} + 290650064183424 T^{9} + 10469797064741256 T^{10} + 200507912131951248 T^{11} + 5559917313492231481 T^{12}$$)($$1 - 75 T + 5820 T^{2} - 295875 T^{3} + 15300780 T^{4} - 654326115 T^{5} + 25949150606 T^{6} - 870908059065 T^{7} + 27106265117580 T^{8} - 697657773074625 T^{9} + 18265653152516220 T^{10} - 313293612706173825 T^{11} + 5559917313492231481 T^{12}$$)($$1 - 48 T + 3336 T^{2} - 123264 T^{3} + 5532936 T^{4} - 293154432 T^{5} + 9930474614 T^{6} - 390188548992 T^{7} + 9801933633096 T^{8} - 290650064183424 T^{9} + 10469797064741256 T^{10} - 200507912131951248 T^{11} + 5559917313492231481 T^{12}$$)($$1 - 150 T + 12335 T^{2} - 725250 T^{3} + 32726953 T^{4} - 1111644000 T^{5} + 26794457750 T^{6} - 427660148100 T^{7} + 7148343846538 T^{8} - 569215657121100 T^{9} + 47468016366047750 T^{10} - 2621198403014004000 T^{11} +$$$$10\!\cdots\!13$$$$T^{12} -$$$$30\!\cdots\!50$$$$T^{13} +$$$$68\!\cdots\!35$$$$T^{14} -$$$$11\!\cdots\!50$$$$T^{15} +$$$$98\!\cdots\!41$$$$T^{16}$$)($$1 + 150 T + 12335 T^{2} + 725250 T^{3} + 32726953 T^{4} + 1111644000 T^{5} + 26794457750 T^{6} + 427660148100 T^{7} + 7148343846538 T^{8} + 569215657121100 T^{9} + 47468016366047750 T^{10} + 2621198403014004000 T^{11} +$$$$10\!\cdots\!13$$$$T^{12} +$$$$30\!\cdots\!50$$$$T^{13} +$$$$68\!\cdots\!35$$$$T^{14} +$$$$11\!\cdots\!50$$$$T^{15} +$$$$98\!\cdots\!41$$$$T^{16}$$)
$13$ ($$1 + 54 T + 2197 T^{2}$$)($$1 + 10 T + 2197 T^{2}$$)($$1 - 86 T + 2197 T^{2}$$)($$1 + 42 T + 2197 T^{2}$$)($$1 - 54 T + 2197 T^{2}$$)($$1 + 34 T + 2197 T^{2}$$)($$1 - 30 T + 2197 T^{2}$$)($$1 + 62 T + 2197 T^{2}$$)($$1 + 66 T + 2197 T^{2}$$)($$1 - 2 T + 2197 T^{2}$$)($$1 - 62 T + 2197 T^{2}$$)($$1 + 34 T + 2197 T^{2}$$)($$1 - 16 T + 2406 T^{2} - 35152 T^{3} + 4826809 T^{4}$$)($$1 - 48 T + 4262 T^{2} - 105456 T^{3} + 4826809 T^{4}$$)($$1 - 96 T + 5350 T^{2} - 210912 T^{3} + 4826809 T^{4}$$)($$1 + 1006 T^{2} + 4826809 T^{4}$$)($$1 - 4202 T^{2} + 4826809 T^{4}$$)($$1 - 4202 T^{2} + 4826809 T^{4}$$)($$1 + 1006 T^{2} + 4826809 T^{4}$$)($$1 - 7736 T^{2} + 33258844 T^{4} - 103335049928 T^{6} + 251087208174118 T^{8} - 498778549007919752 T^{10} +$$$$77\!\cdots\!64$$$$T^{12} -$$$$86\!\cdots\!44$$$$T^{14} +$$$$54\!\cdots\!61$$$$T^{16}$$)($$1 - 7736 T^{2} + 33258844 T^{4} - 103335049928 T^{6} + 251087208174118 T^{8} - 498778549007919752 T^{10} +$$$$77\!\cdots\!64$$$$T^{12} -$$$$86\!\cdots\!44$$$$T^{14} +$$$$54\!\cdots\!61$$$$T^{16}$$)($$( 1 + 24 T + 3417 T^{2} + 27172 T^{3} + 7507149 T^{4} + 115843416 T^{5} + 10604499373 T^{6} )^{4}$$)($$( 1 - 70 T + 2197 T^{2} )( 1 + 70 T + 2197 T^{2} )$$)($$( 1 - 1220 T^{2} + 4826809 T^{4} )^{2}$$)($$( 1 - 5830 T^{2} + 16965930 T^{4} - 28140296470 T^{6} + 23298085122481 T^{8} )^{2}$$)($$( 1 - 6094 T^{2} + 17645562 T^{4} - 29414574046 T^{6} + 23298085122481 T^{8} )^{2}$$)($$( 1 + 52 T + 2197 T^{2} )^{2}$$)($$( 1 - 33 T + 2197 T^{2} )^{2}$$)($$( 1 + 32 T + 2197 T^{2} )^{2}$$)($$( 1 + 88 T + 2197 T^{2} )^{2}$$)($$( 1 + 64 T + 2197 T^{2} )^{2}$$)($$( 1 - 53 T + 2197 T^{2} )^{2}$$)($$( 1 + 19 T + 4358 T^{2} + 41743 T^{3} + 4826809 T^{4} )^{2}$$)($$( 1 - 61 T + 2118 T^{2} - 134017 T^{3} + 4826809 T^{4} )^{2}$$)($$( 1 - 5 T + 3194 T^{2} - 10985 T^{3} + 4826809 T^{4} )^{2}$$)($$( 1 - 41 T + 4478 T^{2} - 90077 T^{3} + 4826809 T^{4} )^{2}$$)($$( 1 - 62 T + 7016 T^{2} - 253976 T^{3} + 15414152 T^{4} - 299262158 T^{5} + 10604499373 T^{6} )^{2}$$)($$( 1 + 22 T + 3096 T^{2} + 123644 T^{3} + 6801912 T^{4} + 106189798 T^{5} + 10604499373 T^{6} )^{2}$$)($$( 1 - 22 T + 1365 T^{2} - 60998 T^{3} + 10139200 T^{4} - 134012606 T^{5} + 6588594285 T^{6} - 233298986206 T^{7} + 23298085122481 T^{8} )^{2}$$)($$( 1 - 89 T + 2197 T^{2} )( 1 + 89 T + 2197 T^{2} )$$)($$( 1 - 19 T + 2197 T^{2} )( 1 + 19 T + 2197 T^{2} )$$)($$( 1 - 1458 T^{2} + 12022119 T^{4} - 10536506876 T^{6} + 58028472188271 T^{8} - 33968608108577298 T^{10} +$$$$11\!\cdots\!29$$$$T^{12} )^{2}$$)($$( 1 - 8847 T^{2} + 36037359 T^{4} - 94069474274 T^{6} + 173945448757431 T^{8} - 206118159078589407 T^{10} +$$$$11\!\cdots\!29$$$$T^{12} )^{2}$$)($$( 1 - 13025 T^{2} + 78138478 T^{4} - 289959829895 T^{6} + 749432012155618 T^{8} - 1399580716575655055 T^{10} +$$$$18\!\cdots\!18$$$$T^{12} -$$$$14\!\cdots\!25$$$$T^{14} +$$$$54\!\cdots\!61$$$$T^{16} )^{2}$$)($$( 1 - 19 T + 2197 T^{2} )^{2}$$)($$( 1 + 89 T + 2197 T^{2} )^{2}$$)($$( 1 + 89 T + 2197 T^{2} )^{2}$$)($$( 1 - 19 T + 2197 T^{2} )^{2}$$)($$1 - 3071 T^{2} + 4826809 T^{4}$$)($$1 - 3194 T^{2} + 4826809 T^{4}$$)($$1 - 3071 T^{2} + 4826809 T^{4}$$)($$1 - 3194 T^{2} + 4826809 T^{4}$$)($$1 - 8616 T^{2} + 35253912 T^{4} - 92922856634 T^{6} + 170163899726808 T^{8} - 200736301415296296 T^{10} +$$$$11\!\cdots\!29$$$$T^{12}$$)($$1 - 12603 T^{2} + 67406907 T^{4} - 195727352258 T^{6} + 325360265369763 T^{8} - 293625766798628043 T^{10} +$$$$11\!\cdots\!29$$$$T^{12}$$)($$1 - 8616 T^{2} + 35253912 T^{4} - 92922856634 T^{6} + 170163899726808 T^{8} - 200736301415296296 T^{10} +$$$$11\!\cdots\!29$$$$T^{12}$$)($$1 - 12603 T^{2} + 67406907 T^{4} - 195727352258 T^{6} + 325360265369763 T^{8} - 293625766798628043 T^{10} +$$$$11\!\cdots\!29$$$$T^{12}$$)($$1 - 1058 T^{2} + 5128273 T^{4} - 14494309058 T^{6} + 35717396971348 T^{8} - 69961261409935922 T^{10} +$$$$11\!\cdots\!13$$$$T^{12} -$$$$11\!\cdots\!82$$$$T^{14} +$$$$54\!\cdots\!61$$$$T^{16}$$)($$1 - 1058 T^{2} + 5128273 T^{4} - 14494309058 T^{6} + 35717396971348 T^{8} - 69961261409935922 T^{10} +$$$$11\!\cdots\!13$$$$T^{12} -$$$$11\!\cdots\!82$$$$T^{14} +$$$$54\!\cdots\!61$$$$T^{16}$$)
$17$ ($$1 + 128 T + 4913 T^{2}$$)($$1 + 54 T + 4913 T^{2}$$)($$1 + 30 T + 4913 T^{2}$$)($$1 + 2 T + 4913 T^{2}$$)($$1 + 14 T + 4913 T^{2}$$)($$1 - 42 T + 4913 T^{2}$$)($$1 - 34 T + 4913 T^{2}$$)($$1 - 84 T + 4913 T^{2}$$)($$1 + 70 T + 4913 T^{2}$$)($$1 + 36 T + 4913 T^{2}$$)($$1 - 114 T + 4913 T^{2}$$)($$1 - 6 T + 4913 T^{2}$$)($$1 + 6 T + 9778 T^{2} + 29478 T^{3} + 24137569 T^{4}$$)($$1 - 34 T - 4222 T^{2} - 167042 T^{3} + 24137569 T^{4}$$)($$1 - 78 T + 8314 T^{2} - 383214 T^{3} + 24137569 T^{4}$$)($$1 - 7180 T^{2} + 24137569 T^{4}$$)($$1 - 4018 T^{2} + 24137569 T^{4}$$)($$1 - 4018 T^{2} + 24137569 T^{4}$$)($$1 - 7180 T^{2} + 24137569 T^{4}$$)($$1 - 25708 T^{2} + 341684344 T^{4} - 2888689279012 T^{6} + 16925607763770286 T^{8} - 69725936791712401828 T^{10} +$$$$19\!\cdots\!84$$$$T^{12} -$$$$36\!\cdots\!72$$$$T^{14} +$$$$33\!\cdots\!21$$$$T^{16}$$)($$1 - 25708 T^{2} + 341684344 T^{4} - 2888689279012 T^{6} + 16925607763770286 T^{8} - 69725936791712401828 T^{10} +$$$$19\!\cdots\!84$$$$T^{12} -$$$$36\!\cdots\!72$$$$T^{14} +$$$$33\!\cdots\!21$$$$T^{16}$$)($$( 1 - 14844 T^{2} + 131288487 T^{4} - 785980991096 T^{6} + 3168984913868103 T^{8} - 8648444489438572284 T^{10} +$$$$14\!\cdots\!09$$$$T^{12} )^{2}$$)($$( 1 + 4913 T^{2} )^{2}$$)($$( 1 + 6154 T^{2} + 24137569 T^{4} )^{2}$$)($$( 1 + 3536 T^{2} + 26538750 T^{4} + 85350443984 T^{6} + 582622237229761 T^{8} )^{2}$$)($$( 1 + 18584 T^{2} + 134333262 T^{4} + 448572582296 T^{6} + 582622237229761 T^{8} )^{2}$$)($$1 + 72 T + 271 T^{2} + 353736 T^{3} + 24137569 T^{4}$$)($$1 - 68 T - 289 T^{2} - 334084 T^{3} + 24137569 T^{4}$$)($$1 + 12 T - 4769 T^{2} + 58956 T^{3} + 24137569 T^{4}$$)($$1 - 84 T + 2143 T^{2} - 412692 T^{3} + 24137569 T^{4}$$)($$1 + 84 T + 2143 T^{2} + 412692 T^{3} + 24137569 T^{4}$$)($$1 - 84 T + 2143 T^{2} - 412692 T^{3} + 24137569 T^{4}$$)($$1 - 4 T - 7794 T^{2} + 8064 T^{3} + 36779923 T^{4} + 39618432 T^{5} - 188128212786 T^{6} - 474351505988 T^{7} + 582622237229761 T^{8}$$)($$1 + 24 T - 1186 T^{2} - 193536 T^{3} - 23862813 T^{4} - 950842368 T^{5} - 28627156834 T^{6} + 2846109035928 T^{7} + 582622237229761 T^{8}$$)($$1 + 100 T - 1554 T^{2} + 172800 T^{3} + 60227347 T^{4} + 848966400 T^{5} - 37509782226 T^{6} + 11858787649700 T^{7} + 582622237229761 T^{8}$$)($$1 - 92 T + 1902 T^{2} + 300288 T^{3} - 22661357 T^{4} + 1475314944 T^{5} + 45909656238 T^{6} - 10910084637724 T^{7} + 582622237229761 T^{8}$$)($$1 + 48 T - 10035 T^{2} - 125232 T^{3} + 74409318 T^{4} - 234420432 T^{5} - 437742983351 T^{6} - 1151707582416 T^{7} + 1796060047467942 T^{8} - 14850996949472304 T^{9} - 5846614150600651635 T^{10} +$$$$13\!\cdots\!64$$$$T^{11} +$$$$14\!\cdots\!09$$$$T^{12}$$)($$1 - 104 T - 6483 T^{2} + 236648 T^{3} + 108406726 T^{4} - 2440557608 T^{5} - 458074570039 T^{6} - 11990459528104 T^{7} + 2616674828889094 T^{8} + 28063583797262056 T^{9} - 3777139963960540563 T^{10} -$$$$29\!\cdots\!72$$$$T^{11} +$$$$14\!\cdots\!09$$$$T^{12}$$)($$1 + 96 T + 3868 T^{2} + 1115584 T^{3} + 97434250 T^{4} + 4576846048 T^{5} + 704375651696 T^{6} + 51620917191712 T^{7} + 2061746282927699 T^{8} + 253613566162881056 T^{9} + 17001915894732167024 T^{10} +$$$$54\!\cdots\!56$$$$T^{11} +$$$$56\!\cdots\!50$$$$T^{12} +$$$$31\!\cdots\!12$$$$T^{13} +$$$$54\!\cdots\!12$$$$T^{14} +$$$$66\!\cdots\!32$$$$T^{15} +$$$$33\!\cdots\!21$$$$T^{16}$$)($$1 - 4913 T^{2} + 24137569 T^{4}$$)($$1 - 4913 T^{2} + 24137569 T^{4}$$)($$1 - 9576 T^{2} + 21936096 T^{4} + 245735653964 T^{6} - 1192193818198992 T^{8} - 5203415829879660456 T^{10} +$$$$65\!\cdots\!66$$$$T^{12} -$$$$12\!\cdots\!64$$$$T^{14} -$$$$69\!\cdots\!12$$$$T^{16} +$$$$34\!\cdots\!76$$$$T^{18} +$$$$74\!\cdots\!16$$$$T^{20} -$$$$78\!\cdots\!24$$$$T^{22} +$$$$19\!\cdots\!81$$$$T^{24}$$)($$1 - 17217 T^{2} + 160729722 T^{4} - 865949822635 T^{6} + 2480649769543932 T^{8} + 2994987661331912811 T^{10} -$$$$48\!\cdots\!48$$$$T^{12} +$$$$72\!\cdots\!59$$$$T^{14} +$$$$14\!\cdots\!52$$$$T^{16} -$$$$12\!\cdots\!15$$$$T^{18} +$$$$54\!\cdots\!62$$$$T^{20} -$$$$14\!\cdots\!33$$$$T^{22} +$$$$19\!\cdots\!81$$$$T^{24}$$)($$1 - 16522 T^{2} + 137136387 T^{4} - 454575947726 T^{6} - 1321922280689143 T^{8} + 21698870810810206452 T^{10} -$$$$75\!\cdots\!30$$$$T^{12} -$$$$13\!\cdots\!84$$$$T^{14} +$$$$21\!\cdots\!34$$$$T^{16} -$$$$32\!\cdots\!96$$$$T^{18} -$$$$43\!\cdots\!30$$$$T^{20} +$$$$30\!\cdots\!68$$$$T^{22} -$$$$44\!\cdots\!03$$$$T^{24} -$$$$37\!\cdots\!74$$$$T^{26} +$$$$27\!\cdots\!47$$$$T^{28} -$$$$78\!\cdots\!58$$$$T^{30} +$$$$11\!\cdots\!41$$$$T^{32}$$)($$1 + 4913 T^{2} + 24137569 T^{4}$$)($$1 + 4913 T^{2} + 24137569 T^{4}$$)($$1 + 4913 T^{2} + 24137569 T^{4}$$)($$1 + 4913 T^{2} + 24137569 T^{4}$$)($$1 + 108 T + 8801 T^{2} + 530604 T^{3} + 24137569 T^{4}$$)($$1 + 162 T + 13661 T^{2} + 795906 T^{3} + 24137569 T^{4}$$)($$1 + 108 T + 8801 T^{2} + 530604 T^{3} + 24137569 T^{4}$$)($$1 + 162 T + 13661 T^{2} + 795906 T^{3} + 24137569 T^{4}$$)($$1 - 162 T + 21303 T^{2} - 2033910 T^{3} + 175697910 T^{4} - 14632193322 T^{5} + 1053173150219 T^{6} - 71887965790986 T^{7} + 4240920425780790 T^{8} - 241197067886013270 T^{9} + 12411601519705598583 T^{10} -$$$$46\!\cdots\!66$$$$T^{11} +$$$$14\!\cdots\!09$$$$T^{12}$$)($$1 + 84 T + 17439 T^{2} + 1267308 T^{3} + 176630082 T^{4} + 10438047780 T^{5} + 1051899720383 T^{6} + 51282128743140 T^{7} + 4263420791750658 T^{8} + 150287364587660076 T^{9} + 10160349195049802079 T^{10} +$$$$24\!\cdots\!12$$$$T^{11} +$$$$14\!\cdots\!09$$$$T^{12}$$)($$1 - 162 T + 21303 T^{2} - 2033910 T^{3} + 175697910 T^{4} - 14632193322 T^{5} + 1053173150219 T^{6} - 71887965790986 T^{7} + 4240920425780790 T^{8} - 241197067886013270 T^{9} + 12411601519705598583 T^{10} -$$$$46\!\cdots\!66$$$$T^{11} +$$$$14\!\cdots\!09$$$$T^{12}$$)($$1 + 84 T + 17439 T^{2} + 1267308 T^{3} + 176630082 T^{4} + 10438047780 T^{5} + 1051899720383 T^{6} + 51282128743140 T^{7} + 4263420791750658 T^{8} + 150287364587660076 T^{9} + 10160349195049802079 T^{10} +$$$$24\!\cdots\!12$$$$T^{11} +$$$$14\!\cdots\!09$$$$T^{12}$$)($$1 - 192 T + 22304 T^{2} - 1923072 T^{3} + 107263810 T^{4} - 1194102000 T^{5} - 458395891072 T^{6} + 67307563015392 T^{7} - 5764332726574781 T^{8} + 330682057094620896 T^{9} - 11064562450066883968 T^{10} -$$$$14\!\cdots\!00$$$$T^{11} +$$$$62\!\cdots\!10$$$$T^{12} -$$$$55\!\cdots\!96$$$$T^{13} +$$$$31\!\cdots\!36$$$$T^{14} -$$$$13\!\cdots\!64$$$$T^{15} +$$$$33\!\cdots\!21$$$$T^{16}$$)($$1 - 192 T + 22304 T^{2} - 1923072 T^{3} + 107263810 T^{4} - 1194102000 T^{5} - 458395891072 T^{6} + 67307563015392 T^{7} - 5764332726574781 T^{8} + 330682057094620896 T^{9} - 11064562450066883968 T^{10} -$$$$14\!\cdots\!00$$$$T^{11} +$$$$62\!\cdots\!10$$$$T^{12} -$$$$55\!\cdots\!96$$$$T^{13} +$$$$31\!\cdots\!36$$$$T^{14} -$$$$13\!\cdots\!64$$$$T^{15} +$$$$33\!\cdots\!21$$$$T^{16}$$)
$19$ ($$1 + 52 T + 6859 T^{2}$$)($$1 - 52 T + 6859 T^{2}$$)($$1 - 4 T + 6859 T^{2}$$)($$1 - 124 T + 6859 T^{2}$$)($$1 + 92 T + 6859 T^{2}$$)($$1 - 124 T + 6859 T^{2}$$)($$1 + 148 T + 6859 T^{2}$$)($$1 + 100 T + 6859 T^{2}$$)($$1 - 92 T + 6859 T^{2}$$)($$1 - 76 T + 6859 T^{2}$$)($$1 - 76 T + 6859 T^{2}$$)($$1 + 92 T + 6859 T^{2}$$)($$1 + 64 T + 6534 T^{2} + 438976 T^{3} + 47045881 T^{4}$$)($$1 - 16 T + 10950 T^{2} - 109744 T^{3} + 47045881 T^{4}$$)($$( 1 + 20 T + 6859 T^{2} )^{2}$$)($$( 1 + 10 T + 6859 T^{2} )^{2}$$)($$( 1 - 52 T + 6859 T^{2} )^{2}$$)($$( 1 + 52 T + 6859 T^{2} )^{2}$$)($$( 1 - 10 T + 6859 T^{2} )^{2}$$)($$( 1 + 28 T + 17056 T^{2} + 75836 T^{3} + 133946894 T^{4} + 520159124 T^{5} + 802414546336 T^{6} + 9035255537812 T^{7} + 2213314919066161 T^{8} )^{2}$$)($$( 1 - 28 T + 17056 T^{2} - 75836 T^{3} + 133946894 T^{4} - 520159124 T^{5} + 802414546336 T^{6} - 9035255537812 T^{7} + 2213314919066161 T^{8} )^{2}$$)($$( 1 - 26586 T^{2} + 357012507 T^{4} - 3019276931428 T^{6} + 16795967919833667 T^{8} - 58843190438292956346 T^{10} +$$$$10\!\cdots\!41$$$$T^{12} )^{2}$$)($$( 1 - 56 T + 6859 T^{2} )( 1 + 56 T + 6859 T^{2} )$$)($$( 1 - 12368 T^{2} + 47045881 T^{4} )^{2}$$)($$( 1 - 8674 T^{2} + 67920258 T^{4} - 408075971794 T^{6} + 2213314919066161 T^{8} )^{2}$$)($$( 1 - 20026 T^{2} + 191880306 T^{4} - 942140812906 T^{6} + 2213314919066161 T^{8} )^{2}$$)($$1 - 20 T - 6459 T^{2} - 137180 T^{3} + 47045881 T^{4}$$)($$1 - 25 T - 6234 T^{2} - 171475 T^{3} + 47045881 T^{4}$$)($$1 + 88 T + 885 T^{2} + 603592 T^{3} + 47045881 T^{4}$$)($$1 - 104 T + 3957 T^{2} - 713336 T^{3} + 47045881 T^{4}$$)($$1 + 16 T - 6603 T^{2} + 109744 T^{3} + 47045881 T^{4}$$)($$1 + 97 T + 2550 T^{2} + 665323 T^{3} + 47045881 T^{4}$$)($$1 - 117 T + 2735 T^{2} + 323388 T^{3} - 20948616 T^{4} + 2218118292 T^{5} + 128670484535 T^{6} - 37754460640143 T^{7} + 2213314919066161 T^{8}$$)($$1 - 169 T + 7831 T^{2} - 1185028 T^{3} + 186787120 T^{4} - 8128107052 T^{5} + 368416294111 T^{6} - 54534220924651 T^{7} + 2213314919066161 T^{8}$$)($$1 - 67 T - 9917 T^{2} - 46096 T^{3} + 129696904 T^{4} - 316172464 T^{5} - 466554001877 T^{6} - 21620075751193 T^{7} + 2213314919066161 T^{8}$$)($$1 - 43 T - 9305 T^{2} + 110252 T^{3} + 64683544 T^{4} + 756218468 T^{5} - 437761922705 T^{6} - 13875571004497 T^{7} + 2213314919066161 T^{8}$$)($$1 + 202 T + 7946 T^{2} + 627636 T^{3} + 247297462 T^{4} + 17185599794 T^{5} + 349471935958 T^{6} + 117876028987046 T^{7} + 11634326968854022 T^{8} + 202530415883220444 T^{9} + 17587000346899715306 T^{10} +$$$$30\!\cdots\!98$$$$T^{11} +$$$$10\!\cdots\!41$$$$T^{12}$$)($$1 - 202 T + 27470 T^{2} - 1603332 T^{3} - 23766086 T^{4} + 20177789350 T^{5} - 2196685326746 T^{6} + 138399457151650 T^{7} - 1118096453791766 T^{8} - 517375511855399628 T^{9} + 60799760826747442670 T^{10} -$$$$30\!\cdots\!98$$$$T^{11} +$$$$10\!\cdots\!41$$$$T^{12}$$)($$1 + 26 T - 12525 T^{2} - 1244082 T^{3} + 61144545 T^{4} + 11111382936 T^{5} + 509537596190 T^{6} - 45784039164404 T^{7} - 5742132403843374 T^{8} - 314032724628647036 T^{9} + 23971645115380793390 T^{10} +$$$$35\!\cdots\!44$$$$T^{11} +$$$$13\!\cdots\!45$$$$T^{12} -$$$$18\!\cdots\!18$$$$T^{13} -$$$$13\!\cdots\!25$$$$T^{14} +$$$$18\!\cdots\!94$$$$T^{15} +$$$$48\!\cdots\!21$$$$T^{16}$$)($$( 1 - 56 T + 6859 T^{2} )( 1 + 107 T + 6859 T^{2} )$$)($$( 1 - 163 T + 6859 T^{2} )( 1 - 56 T + 6859 T^{2} )$$)($$( 1 + 102 T + 18078 T^{2} + 1490220 T^{3} + 150002706 T^{4} + 10997564478 T^{5} + 1045197598246 T^{6} + 75432294754602 T^{7} + 7057009456153986 T^{8} + 480875660984221380 T^{9} + 40012307106878058558 T^{10} +$$$$15\!\cdots\!98$$$$T^{11} +$$$$10\!\cdots\!41$$$$T^{12} )^{2}$$)($$( 1 + 150 T + 30330 T^{2} + 3424500 T^{3} + 468855630 T^{4} + 40538051670 T^{5} + 4025485422214 T^{6} + 278050496404530 T^{7} + 22057726175160030 T^{8} + 1105044021044185500 T^{9} + 67129841495276663130 T^{10} +$$$$22\!\cdots\!50$$$$T^{11} +$$$$10\!\cdots\!41$$$$T^{12} )^{2}$$)($$( 1 - 171 T + 25594 T^{2} - 2709837 T^{3} + 240736861 T^{4} - 19120765608 T^{5} + 1272032534050 T^{6} - 97402340768454 T^{7} + 7360758335905852 T^{8} - 668082655330825986 T^{9} + 59843891225044748050 T^{10} -$$$$61\!\cdots\!32$$$$T^{11} +$$$$53\!\cdots\!21$$$$T^{12} -$$$$41\!\cdots\!63$$$$T^{13} +$$$$26\!\cdots\!54$$$$T^{14} -$$$$12\!\cdots\!49$$$$T^{15} +$$$$48\!\cdots\!21$$$$T^{16} )^{2}$$)($$( 1 - 163 T + 6859 T^{2} )( 1 - 56 T + 6859 T^{2} )$$)($$( 1 - 107 T + 6859 T^{2} )( 1 + 56 T + 6859 T^{2} )$$)($$( 1 - 56 T + 6859 T^{2} )( 1 + 107 T + 6859 T^{2} )$$)($$( 1 + 56 T + 6859 T^{2} )( 1 + 163 T + 6859 T^{2} )$$)($$1 - 115 T + 6366 T^{2} - 788785 T^{3} + 47045881 T^{4}$$)($$1 - 94 T + 1977 T^{2} - 644746 T^{3} + 47045881 T^{4}$$)($$1 + 115 T + 6366 T^{2} + 788785 T^{3} + 47045881 T^{4}$$)($$1 + 94 T + 1977 T^{2} + 644746 T^{3} + 47045881 T^{4}$$)($$1 + 80 T - 3850 T^{2} + 280716 T^{3} + 13186390 T^{4} - 4721259020 T^{5} - 303635122178 T^{6} - 32383115618180 T^{7} + 620365334759590 T^{8} + 90583599769729764 T^{9} - 8521262438404719850 T^{10} +$$$$12\!\cdots\!20$$$$T^{11} +$$$$10\!\cdots\!41$$$$T^{12}$$)($$1 + 77 T - 9112 T^{2} - 420759 T^{3} + 62277196 T^{4} - 390827111 T^{5} - 562038799106 T^{6} - 2680683154349 T^{7} + 2929885552029676 T^{8} - 135773753029794261 T^{9} - 20167725542530859032 T^{10} +$$$$11\!\cdots\!23$$$$T^{11} +$$$$10\!\cdots\!41$$$$T^{12}$$)($$1 - 80 T - 3850 T^{2} - 280716 T^{3} + 13186390 T^{4} + 4721259020 T^{5} - 303635122178 T^{6} + 32383115618180 T^{7} + 620365334759590 T^{8} - 90583599769729764 T^{9} - 8521262438404719850 T^{10} -$$$$12\!\cdots\!20$$$$T^{11} +$$$$10\!\cdots\!41$$$$T^{12}$$)($$1 - 77 T - 9112 T^{2} + 420759 T^{3} + 62277196 T^{4} + 390827111 T^{5} - 562038799106 T^{6} + 2680683154349 T^{7} + 2929885552029676 T^{8} + 135773753029794261 T^{9} - 20167725542530859032 T^{10} -$$$$11\!\cdots\!23$$$$T^{11} +$$$$10\!\cdots\!41$$$$T^{12}$$)($$1 + 66 T - 7193 T^{2} - 1059666 T^{3} - 54322163 T^{4} - 71642448 T^{5} + 30705762202 T^{6} + 29054260929468 T^{7} + 4907552114970202 T^{8} + 199283175715221012 T^{9} + 1444579634569589962 T^{10} - 23118136608371722992 T^{11} -$$$$12\!\cdots\!43$$$$T^{12} -$$$$16\!\cdots\!34$$$$T^{13} -$$$$74\!\cdots\!13$$$$T^{14} +$$$$47\!\cdots\!54$$$$T^{15} +$$$$48\!\cdots\!21$$$$T^{16}$$)($$1 - 66 T - 7193 T^{2} + 1059666 T^{3} - 54322163 T^{4} + 71642448 T^{5} + 30705762202 T^{6} - 29054260929468 T^{7} + 4907552114970202 T^{8} - 199283175715221012 T^{9} + 1444579634569589962 T^{10} + 23118136608371722992 T^{11} -$$$$12\!\cdots\!43$$$$T^{12} +$$$$16\!\cdots\!34$$$$T^{13} -$$$$74\!\cdots\!13$$$$T^{14} -$$$$47\!\cdots\!54$$$$T^{15} +$$$$48\!\cdots\!21$$$$T^{16}$$)
$23$ ($$1 - 202 T + 12167 T^{2}$$)($$1 + 48 T + 12167 T^{2}$$)($$1 + 120 T + 12167 T^{2}$$)($$1 + 76 T + 12167 T^{2}$$)($$1 - 152 T + 12167 T^{2}$$)($$1 + 12167 T^{2}$$)($$1 + 152 T + 12167 T^{2}$$)($$1 - 42 T + 12167 T^{2}$$)($$1 + 16 T + 12167 T^{2}$$)($$1 - 114 T + 12167 T^{2}$$)($$1 - 24 T + 12167 T^{2}$$)($$1 - 180 T + 12167 T^{2}$$)($$1 + 6 T + 7870 T^{2} + 73002 T^{3} + 148035889 T^{4}$$)($$1 + 110 T + 18686 T^{2} + 1338370 T^{3} + 148035889 T^{4}$$)($$1 + 22 T + 16030 T^{2} + 267674 T^{3} + 148035889 T^{4}$$)($$1 - 11080 T^{2} + 148035889 T^{4}$$)($$1 - 11266 T^{2} + 148035889 T^{4}$$)($$1 - 11266 T^{2} + 148035889 T^{4}$$)($$1 - 11080 T^{2} + 148035889 T^{4}$$)($$1 - 29476 T^{2} + 511325128 T^{4} - 7961603563564 T^{6} + 110519492921771470 T^{8} -$$$$11\!\cdots\!96$$$$T^{10} +$$$$11\!\cdots\!88$$$$T^{12} -$$$$95\!\cdots\!44$$$$T^{14} +$$$$48\!\cdots\!41$$$$T^{16}$$)($$1 - 29476 T^{2} + 511325128 T^{4} - 7961603563564 T^{6} + 110519492921771470 T^{8} -$$$$11\!\cdots\!96$$$$T^{10} +$$$$11\!\cdots\!88$$$$T^{12} -$$$$95\!\cdots\!44$$$$T^{14} +$$$$48\!\cdots\!41$$$$T^{16}$$)($$( 1 + 44616 T^{2} + 1065610983 T^{4} + 15978672241472 T^{6} + 157748669196568887 T^{8} +$$$$97\!\cdots\!36$$$$T^{10} +$$$$32\!\cdots\!69$$$$T^{12} )^{2}$$)($$( 1 - 12167 T^{2} )^{2}$$)($$( 1 - 16106 T^{2} + 148035889 T^{4} )^{2}$$)($$( 1 - 24692 T^{2} + 309294726 T^{4} - 3655302171188 T^{6} + 21914624432020321 T^{8} )^{2}$$)($$( 1 - 428 T^{2} + 125531574 T^{4} - 63359360492 T^{6} + 21914624432020321 T^{8} )^{2}$$)($$1 + 48 T - 9863 T^{2} + 584016 T^{3} + 148035889 T^{4}$$)($$1 - 92 T - 3703 T^{2} - 1119364 T^{3} + 148035889 T^{4}$$)($$1 + 92 T - 3703 T^{2} + 1119364 T^{3} + 148035889 T^{4}$$)($$1 + 84 T - 5111 T^{2} + 1022028 T^{3} + 148035889 T^{4}$$)($$1 + 84 T - 5111 T^{2} + 1022028 T^{3} + 148035889 T^{4}$$)($$1 - 84 T - 5111 T^{2} - 1022028 T^{3} + 148035889 T^{4}$$)($$1 - 148 T - 5886 T^{2} - 511488 T^{3} + 357742243 T^{4} - 6223274496 T^{5} - 871339242654 T^{6} - 266570593896524 T^{7} + 21914624432020321 T^{8}$$)($$( 1 + 96 T - 2951 T^{2} + 1168032 T^{3} + 148035889 T^{4} )^{2}$$)($$1 - 76 T - 702 T^{2} + 1357056 T^{3} - 176347997 T^{4} + 16511300352 T^{5} - 103921194078 T^{6} - 136887602271188 T^{7} + 21914624432020321 T^{8}$$)($$1 - 148 T - 2526 T^{2} - 14208 T^{3} + 182283043 T^{4} - 172868736 T^{5} - 373938655614 T^{6} - 266570593896524 T^{7} + 21914624432020321 T^{8}$$)($$1 - 216 T + 10827 T^{2} - 387864 T^{3} + 53856198 T^{4} + 24653558952 T^{5} - 5413409425505 T^{6} + 299959851768984 T^{7} + 7972650149090022 T^{8} - 698602275885685032 T^{9} +$$$$23\!\cdots\!67$$$$T^{10} -$$$$57\!\cdots\!12$$$$T^{11} +$$$$32\!\cdots\!69$$$$T^{12}$$)($$1 + 280 T + 34923 T^{2} + 1611992 T^{3} - 117354650 T^{4} - 25188714152 T^{5} - 3115694739361 T^{6} - 306471085087384 T^{7} - 17372699941033850 T^{8} + 2903443681057064296 T^{9} +$$$$76\!\cdots\!83$$$$T^{10} +$$$$74\!\cdots\!60$$$$T^{11} +$$$$32\!\cdots\!69$$$$T^{12}$$)($$1 - 96 T - 25148 T^{2} + 3952576 T^{3} + 292768042 T^{4} - 65021887712 T^{5} + 527287824656 T^{6} + 412568873210656 T^{7} - 31831120908542413 T^{8} + 5019725480354051552 T^{9} + 78057521881827079184 T^{10} -$$$$11\!\cdots\!56$$$$T^{11} +$$$$64\!\cdots\!82$$$$T^{12} +$$$$10\!\cdots\!32$$$$T^{13} -$$$$81\!\cdots\!12$$$$T^{14} -$$$$37\!\cdots\!08$$$$T^{15} +$$$$48\!\cdots\!41$$$$T^{16}$$)($$1 + 12167 T^{2} + 148035889 T^{4}$$)($$1 + 12167 T^{2} + 148035889 T^{4}$$)($$1 + 41664 T^{2} + 1001918568 T^{4} + 12327072546316 T^{6} + 49810596479841960 T^{8} -$$$$14\!\cdots\!68$$$$T^{10} -$$$$28\!\cdots\!10$$$$T^{12} -$$$$21\!\cdots\!52$$$$T^{14} +$$$$10\!\cdots\!60$$$$T^{16} +$$$$39\!\cdots\!04$$$$T^{18} +$$$$48\!\cdots\!88$$$$T^{20} +$$$$29\!\cdots\!36$$$$T^{22} +$$$$10\!\cdots\!61$$$$T^{24}$$)($$1 + 58691 T^{2} + 1855192226 T^{4} + 43669490183457 T^{6} + 835010896549582396 T^{8} +$$$$13\!\cdots\!91$$$$T^{10} +$$$$17\!\cdots\!88$$$$T^{12} +$$$$19\!\cdots\!99$$$$T^{14} +$$$$18\!\cdots\!16$$$$T^{16} +$$$$14\!\cdots\!33$$$$T^{18} +$$$$89\!\cdots\!66$$$$T^{20} +$$$$41\!\cdots\!59$$$$T^{22} +$$$$10\!\cdots\!61$$$$T^{24}$$)($$1 + 52534 T^{2} + 1310752899 T^{4} + 21428880822482 T^{6} + 279188933237825513 T^{8} +$$$$33\!\cdots\!76$$$$T^{10} +$$$$42\!\cdots\!62$$$$T^{12} +$$$$60\!\cdots\!08$$$$T^{14} +$$$$80\!\cdots\!38$$$$T^{16} +$$$$89\!\cdots\!12$$$$T^{18} +$$$$93\!\cdots\!02$$$$T^{20} +$$$$10\!\cdots\!44$$$$T^{22} +$$$$13\!\cdots\!33$$$$T^{24} +$$$$15\!\cdots\!18$$$$T^{26} +$$$$13\!\cdots\!39$$$$T^{28} +$$$$81\!\cdots\!86$$$$T^{30} +$$$$23\!\cdots\!81$$$$T^{32}$$)($$1 - 12167 T^{2} + 148035889 T^{4}$$)($$1 - 12167 T^{2} + 148035889 T^{4}$$)($$1 - 12167 T^{2} + 148035889 T^{4}$$)($$1 - 12167 T^{2} + 148035889 T^{4}$$)($$1 - 336 T + 49799 T^{2} - 4088112 T^{3} + 148035889 T^{4}$$)($$1 + 156 T + 20279 T^{2} + 1898052 T^{3} + 148035889 T^{4}$$)($$1 + 336 T + 49799 T^{2} + 4088112 T^{3} + 148035889 T^{4}$$)($$1 - 156 T + 20279 T^{2} - 1898052 T^{3} + 148035889 T^{4}$$)($$1 - 204 T + 50709 T^{2} - 7514748 T^{3} + 1245625014 T^{4} - 152282630460 T^{5} + 19034267868497 T^{6} - 1852822764806820 T^{7} + 184397206308127446 T^{8} - 13535208360423756324 T^{9} +$$$$11\!\cdots\!89$$$$T^{10} -$$$$54\!\cdots\!28$$$$T^{11} +$$$$32\!\cdots\!69$$$$T^{12}$$)($$1 - 108 T + 14901 T^{2} - 1189404 T^{3} + 41030934 T^{4} - 452066076 T^{5} - 1959386645743 T^{6} - 5500287946692 T^{7} + 6074050791190326 T^{8} - 2142298180154738052 T^{9} +$$$$32\!\cdots\!21$$$$T^{10} -$$$$28\!\cdots\!56$$$$T^{11} +$$$$32\!\cdots\!69$$$$T^{12}$$)($$1 + 204 T + 50709 T^{2} + 7514748 T^{3} + 1245625014 T^{4} + 152282630460 T^{5} + 19034267868497 T^{6} + 1852822764806820 T^{7} + 184397206308127446 T^{8} + 13535208360423756324 T^{9} +$$$$11\!\cdots\!89$$$$T^{10} +$$$$54\!\cdots\!28$$$$T^{11} +$$$$32\!\cdots\!69$$$$T^{12}$$)($$1 + 108 T + 14901 T^{2} + 1189404 T^{3} + 41030934 T^{4} + 452066076 T^{5} - 1959386645743 T^{6} + 5500287946692 T^{7} + 6074050791190326 T^{8} + 2142298180154738052 T^{9} +$$$$32\!\cdots\!21$$$$T^{10} +$$$$28\!\cdots\!56$$$$T^{11} +$$$$32\!\cdots\!69$$$$T^{12}$$)($$1 + 492 T + 151196 T^{2} + 34689936 T^{3} + 6567251194 T^{4} + 1072180396620 T^{5} + 155021756123216 T^{6} + 20039868193664100 T^{7} + 2332235766388093795 T^{8} +$$$$24\!\cdots\!00$$$$T^{9} +$$$$22\!\cdots\!24$$$$T^{10} +$$$$19\!\cdots\!60$$$$T^{11} +$$$$14\!\cdots\!74$$$$T^{12} +$$$$92\!\cdots\!52$$$$T^{13} +$$$$49\!\cdots\!24$$$$T^{14} +$$$$19\!\cdots\!16$$$$T^{15} +$$$$48\!\cdots\!41$$$$T^{16}$$)($$1 - 492 T + 151196 T^{2} - 34689936 T^{3} + 6567251194 T^{4} - 1072180396620 T^{5} + 155021756123216 T^{6} - 20039868193664100 T^{7} + 2332235766388093795 T^{8} -$$$$24\!\cdots\!00$$$$T^{9} +$$$$22\!\cdots\!24$$$$T^{10} -$$$$19\!\cdots\!60$$$$T^{11} +$$$$14\!\cdots\!74$$$$T^{12} -$$$$92\!\cdots\!52$$$$T^{13} +$$$$49\!\cdots\!24$$$$T^{14} -$$$$19\!\cdots\!16$$$$T^{15} +$$$$48\!\cdots\!41$$$$T^{16}$$)
$29$ ($$1 - 302 T + 24389 T^{2}$$)($$1 + 186 T + 24389 T^{2}$$)($$1 - 246 T + 24389 T^{2}$$)($$1 - 254 T + 24389 T^{2}$$)($$1 + 106 T + 24389 T^{2}$$)($$1 - 102 T + 24389 T^{2}$$)($$1 + 106 T + 24389 T^{2}$$)($$1 + 10 T + 24389 T^{2}$$)($$1 + 122 T + 24389 T^{2}$$)($$1 - 6 T + 24389 T^{2}$$)($$1 - 54 T + 24389 T^{2}$$)($$1 + 114 T + 24389 T^{2}$$)($$1 + 252 T + 56446 T^{2} + 6146028 T^{3} + 594823321 T^{4}$$)($$1 - 212 T + 57182 T^{2} - 5170468 T^{3} + 594823321 T^{4}$$)($$( 1 - 102 T + 24389 T^{2} )^{2}$$)($$( 1 - 126 T + 24389 T^{2} )^{2}$$)($$( 1 + 246 T + 24389 T^{2} )^{2}$$)($$( 1 + 246 T + 24389 T^{2} )^{2}$$)($$( 1 - 126 T + 24389 T^{2} )^{2}$$)($$( 1 - 120 T + 65660 T^{2} - 6712488 T^{3} + 2255693046 T^{4} - 163710869832 T^{5} + 39056099256860 T^{6} - 1740857517104280 T^{7} + 353814783205469041 T^{8} )^{2}$$)($$( 1 - 120 T + 65660 T^{2} - 6712488 T^{3} + 2255693046 T^{4} - 163710869832 T^{5} + 39056099256860 T^{6} - 1740857517104280 T^{7} + 353814783205469041 T^{8} )^{2}$$)($$( 1 - 108270 T^{2} + 5419906887 T^{4} - 164281853714372 T^{6} + 3223887014036111727 T^{8} -$$$$38\!\cdots\!70$$$$T^{10} +$$$$21\!\cdots\!61$$$$T^{12} )^{2}$$)($$( 1 - 24389 T^{2} )^{2}$$)($$( 1 - 45446 T^{2} + 594823321 T^{4} )^{2}$$)($$( 1 - 77792 T^{2} + 2659888590 T^{4} - 46272495787232 T^{6} + 353814783205469041 T^{8} )^{2}$$)($$( 1 - 40352 T^{2} + 844433358 T^{4} - 24002310648992 T^{6} + 353814783205469041 T^{8} )^{2}$$)($$( 1 + 243 T + 24389 T^{2} )^{2}$$)($$( 1 - 92 T + 24389 T^{2} )^{2}$$)($$( 1 - 255 T + 24389 T^{2} )^{2}$$)($$( 1 - 51 T + 24389 T^{2} )^{2}$$)($$( 1 + 297 T + 24389 T^{2} )^{2}$$)($$( 1 + 180 T + 24389 T^{2} )^{2}$$)($$( 1 + 95 T + 47878 T^{2} + 2316955 T^{3} + 594823321 T^{4} )^{2}$$)($$( 1 + 39 T + 12094 T^{2} + 951171 T^{3} + 594823321 T^{4} )^{2}$$)($$( 1 - 275 T + 61846 T^{2} - 6706975 T^{3} + 594823321 T^{4} )^{2}$$)($$( 1 - 77 T + 9574 T^{2} - 1877953 T^{3} + 594823321 T^{4} )^{2}$$)($$( 1 - 53 T + 52695 T^{2} - 3410210 T^{3} + 1285178355 T^{4} - 31525636013 T^{5} + 14507145975869 T^{6} )^{2}$$)($$( 1 + 73 T + 44143 T^{2} + 4531786 T^{3} + 1076603627 T^{4} + 43422102433 T^{5} + 14507145975869 T^{6} )^{2}$$)($$( 1 + 76 T + 45263 T^{2} + 1864308 T^{3} + 1017389172 T^{4} + 45468607812 T^{5} + 26923487978423 T^{6} + 1102543094166044 T^{7} + 353814783205469041 T^{8} )^{2}$$)($$( 1 - 24389 T^{2} )^{2}$$)($$( 1 - 24389 T^{2} )^{2}$$)($$( 1 - 90957 T^{2} + 3685482627 T^{4} - 100535121841678 T^{6} + 2192211015679944267 T^{8} -$$$$32\!\cdots\!37$$$$T^{10} +$$$$21\!\cdots\!61$$$$T^{12} )^{2}$$)($$( 1 - 26333 T^{2} + 912806819 T^{4} - 27528483699758 T^{6} + 542958783509025899 T^{8} -$$$$93\!\cdots\!53$$$$T^{10} +$$$$21\!\cdots\!61$$$$T^{12} )^{2}$$)($$( 1 - 122383 T^{2} + 7521462478 T^{4} - 300174759894841 T^{6} + 8557303069605841090 T^{8} -$$$$17\!\cdots\!61$$$$T^{10} +$$$$26\!\cdots\!98$$$$T^{12} -$$$$25\!\cdots\!63$$$$T^{14} +$$$$12\!\cdots\!81$$$$T^{16} )^{2}$$)($$( 1 - 24389 T^{2} )^{2}$$)($$( 1 - 24389 T^{2} )^{2}$$)($$( 1 - 24389 T^{2} )^{2}$$)($$( 1 - 24389 T^{2} )^{2}$$)($$( 1 + 96 T + 24389 T^{2} )^{2}$$)($$( 1 + 225 T + 24389 T^{2} )^{2}$$)($$( 1 + 96 T + 24389 T^{2} )^{2}$$)($$( 1 + 225 T + 24389 T^{2} )^{2}$$)($$( 1 - 321 T + 83247 T^{2} - 15077130 T^{3} + 2030311083 T^{4} - 190938286041 T^{5} + 14507145975869 T^{6} )^{2}$$)($$( 1 - 186 T + 81420 T^{2} - 9077892 T^{3} + 1985752380 T^{4} - 110637137706 T^{5} + 14507145975869 T^{6} )^{2}$$)($$( 1 - 321 T + 83247 T^{2} - 15077130 T^{3} + 2030311083 T^{4} - 190938286041 T^{5} + 14507145975869 T^{6} )^{2}$$)($$( 1 - 186 T + 81420 T^{2} - 9077892 T^{3} + 1985752380 T^{4} - 110637137706 T^{5} + 14507145975869 T^{6} )^{2}$$)($$( 1 + 186 T + 29777 T^{2} + 1259046 T^{3} - 125030280 T^{4} + 30706872894 T^{5} + 17712054029417 T^{6} + 2698329151511634 T^{7} + 353814783205469041 T^{8} )^{2}$$)($$( 1 + 186 T + 29777 T^{2} + 1259046 T^{3} - 125030280 T^{4} + 30706872894 T^{5} + 17712054029417 T^{6} + 2698329151511634 T^{7} + 353814783205469041 T^{8} )^{2}$$)
$31$ ($$1 - 200 T + 29791 T^{2}$$)($$1 + 224 T + 29791 T^{2}$$)($$1 + 80 T + 29791 T^{2}$$)($$1 - 72 T + 29791 T^{2}$$)($$1 - 144 T + 29791 T^{2}$$)($$1 - 160 T + 29791 T^{2}$$)($$1 + 304 T + 29791 T^{2}$$)($$1 - 48 T + 29791 T^{2}$$)($$1 + 64 T + 29791 T^{2}$$)($$1 - 256 T + 29791 T^{2}$$)($$1 - 112 T + 29791 T^{2}$$)($$1 + 56 T + 29791 T^{2}$$)($$1 + 40 T - 13890 T^{2} + 1191640 T^{3} + 887503681 T^{4}$$)($$1 - 136 T + 61374 T^{2} - 4051576 T^{3} + 887503681 T^{4}$$)($$1 + 96 T - 24386 T^{2} + 2859936 T^{3} + 887503681 T^{4}$$)($$( 1 + 8 T + 29791 T^{2} )^{2}$$)($$( 1 - 116 T + 29791 T^{2} )^{2}$$)($$( 1 + 116 T + 29791 T^{2} )^{2}$$)($$( 1 - 8 T + 29791 T^{2} )^{2}$$)($$( 1 - 160 T + 36172 T^{2} + 6186976 T^{3} - 728821786 T^{4} + 184316202016 T^{5} + 32102783149132 T^{6} - 4230339545707360 T^{7} + 787662783788549761 T^{8} )^{2}$$)($$( 1 + 160 T + 36172 T^{2} - 6186976 T^{3} - 728821786 T^{4} - 184316202016 T^{5} + 32102783149132 T^{6} + 4230339545707360 T^{7} + 787662783788549761 T^{8} )^{2}$$)($$( 1 - 158646 T^{2} + 11015478687 T^{4} - 427590660466388 T^{6} + 9776277882689546847 T^{8} -$$$$12\!\cdots\!06$$$$T^{10} +$$$$69\!\cdots\!41$$$$T^{12} )^{2}$$)($$( 1 - 308 T + 29791 T^{2} )( 1 + 308 T + 29791 T^{2} )$$)($$( 1 + 5314 T^{2} + 887503681 T^{4} )^{2}$$)($$( 1 - 6304 T^{2} - 228896706 T^{4} - 5594823205024 T^{6} + 787662783788549761 T^{8} )^{2}$$)($$( 1 - 71104 T^{2} + 2806765566 T^{4} - 63105061733824 T^{6} + 787662783788549761 T^{8} )^{2}$$)($$1 - 95 T - 20766 T^{2} - 2830145 T^{3} + 887503681 T^{4}$$)($$1 - 25 T - 29166 T^{2} - 744775 T^{3} + 887503681 T^{4}$$)($$1 + 35 T - 28566 T^{2} + 1042685 T^{3} + 887503681 T^{4}$$)($$1 - 185 T + 4434 T^{2} - 5511335 T^{3} + 887503681 T^{4}$$)($$1 + 253 T + 34218 T^{2} + 7537123 T^{3} + 887503681 T^{4}$$)($$1 - 179 T + 2250 T^{2} - 5332589 T^{3} + 887503681 T^{4}$$)($$1 + 360 T + 38123 T^{2} + 11482200 T^{3} + 3619624248 T^{4} + 342066220200 T^{5} + 33834302830763 T^{6} + 9518263977841560 T^{7} + 787662783788549761 T^{8}$$)($$1 + 92 T - 40409 T^{2} - 985228 T^{3} + 1248915424 T^{4} - 29350927348 T^{5} - 35863136245529 T^{6} + 2432445238781732 T^{7} + 787662783788549761 T^{8}$$)($$1 - 362 T + 58001 T^{2} - 4872882 T^{3} + 543844364 T^{4} - 145168027662 T^{5} + 51476101001681 T^{6} - 9571143222162902 T^{7} + 787662783788549761 T^{8}$$)($$1 + 520 T + 144563 T^{2} + 34452600 T^{3} + 6891960488 T^{4} + 1026377406600 T^{5} + 128300194636403 T^{6} + 13748603523548920 T^{7} + 787662783788549761 T^{8}$$)($$1 + 95 T - 70347 T^{2} - 3756594 T^{3} + 3398738767 T^{4} + 83374434539 T^{5} - 110906046363338 T^{6} + 2483807779351349 T^{7} + 3016393166469901327 T^{8} - 99322925971043714574 T^{9} -$$$$55\!\cdots\!67$$$$T^{10} +$$$$22\!\cdots\!45$$$$T^{11} +$$$$69\!\cdots\!41$$$$T^{12}$$)($$1 + 131 T - 24343 T^{2} - 1860246 T^{3} + 8165167 T^{4} - 56252834717 T^{5} - 356109823730 T^{6} - 1675828199054147 T^{7} + 7246615768479727 T^{8} - 49184201365899585066 T^{9} -$$$$19\!\cdots\!23$$$$T^{10} +$$$$30\!\cdots\!81$$$$T^{11} +$$$$69\!\cdots\!41$$$$T^{12}$$)($$1 - 238 T + 16248 T^{2} - 589848 T^{3} + 91094091 T^{4} - 94482357900 T^{5} + 41212050794252 T^{6} - 6071483071553186 T^{7} + 370763483296552416 T^{8} -$$$$18\!\cdots\!26$$$$T^{9} +$$$$36\!\cdots\!12$$$$T^{10} -$$$$24\!\cdots\!00$$$$T^{11} +$$$$71\!\cdots\!51$$$$T^{12} -$$$$13\!\cdots\!48$$$$T^{13} +$$$$11\!\cdots\!68$$$$T^{14} -$$$$49\!\cdots\!78$$$$T^{15} +$$$$62\!\cdots\!21$$$$T^{16}$$)($$( 1 - 308 T + 29791 T^{2} )( 1 - 289 T + 29791 T^{2} )$$)($$( 1 - 308 T + 29791 T^{2} )( 1 - 19 T + 29791 T^{2} )$$)($$( 1 + 729 T + 312465 T^{2} + 98646822 T^{3} + 25465575543 T^{4} + 5582021984433 T^{5} + 1041731236510702 T^{6} + 166294016938243503 T^{7} + 22600792033196073783 T^{8} +$$$$26\!\cdots\!62$$$$T^{9} +$$$$24\!\cdots\!65$$$$T^{10} +$$$$17\!\cdots\!79$$$$T^{11} +$$$$69\!\cdots\!41$$$$T^{12} )^{2}$$)($$( 1 - 465 T + 176469 T^{2} - 48543210 T^{3} + 12033403527 T^{4} - 2446560037821 T^{5} + 457872227799046 T^{6} - 72885470086725411 T^{7} + 10679689925170882887 T^{8} -$$$$12\!\cdots\!10$$$$T^{9} +$$$$13\!\cdots\!09$$$$T^{10} -$$$$10\!\cdots\!15$$$$T^{11} +$$$$69\!\cdots\!41$$$$T^{12} )^{2}$$)($$( 1 + 402 T + 160900 T^{2} + 43026864 T^{3} + 10665461143 T^{4} + 2032521218820 T^{5} + 397781267218288 T^{6} + 64768359125009094 T^{7} + 11704650836981267560 T^{8} +$$$$19\!\cdots\!54$$$$T^{9} +$$$$35\!\cdots\!28$$$$T^{10} +$$$$53\!\cdots\!20$$$$T^{11} +$$$$84\!\cdots\!23$$$$T^{12} +$$$$10\!\cdots\!64$$$$T^{13} +$$$$11\!\cdots\!00$$$$T^{14} +$$$$83\!\cdots\!62$$$$T^{15} +$$$$62\!\cdots\!21$$$$T^{16} )^{2}$$)($$( 1 + 19 T + 29791 T^{2} )( 1 + 308 T + 29791 T^{2} )$$)($$( 1 - 308 T + 29791 T^{2} )( 1 - 289 T + 29791 T^{2} )$$)($$( 1 + 289 T + 29791 T^{2} )( 1 + 308 T + 29791 T^{2} )$$)($$( 1 - 308 T + 29791 T^{2} )( 1 - 19 T + 29791 T^{2} )$$)($$1 - 209 T + 13890 T^{2} - 6226319 T^{3} + 887503681 T^{4}$$)($$1 - 11 T - 29670 T^{2} - 327701 T^{3} + 887503681 T^{4}$$)($$1 + 209 T + 13890 T^{2} + 6226319 T^{3} + 887503681 T^{4}$$)($$1 + 11 T - 29670 T^{2} + 327701 T^{3} + 887503681 T^{4}$$)($$1 + 313 T + 14105 T^{2} - 1730394 T^{3} + 155935303 T^{4} - 112954941439 T^{5} - 47876120301314 T^{6} - 3365040660409249 T^{7} + 138393155410350343 T^{8} - 45750963549092134374 T^{9} +$$$$11\!\cdots\!05$$$$T^{10} +$$$$73\!\cdots\!63$$$$T^{11} +$$$$69\!\cdots\!41$$$$T^{12}$$)($$1 - 11 T - 52891 T^{2} + 5679954 T^{3} + 1196544679 T^{4} - 141027727183 T^{5} - 21142399505114 T^{6} - 4201357020508753 T^{7} + 1061937807093463399 T^{8} +$$$$15\!\cdots\!34$$$$T^{9} -$$$$41\!\cdots\!51$$$$T^{10} -$$$$25\!\cdots\!61$$$$T^{11} +$$$$69\!\cdots\!41$$$$T^{12}$$)($$1 - 313 T + 14105 T^{2} + 1730394 T^{3} + 155935303 T^{4} + 112954941439 T^{5} - 47876120301314 T^{6} + 3365040660409249 T^{7} + 138393155410350343 T^{8} + 45750963549092134374 T^{9} +$$$$11\!\cdots\!05$$$$T^{10} -$$$$73\!\cdots\!63$$$$T^{11} +$$$$69\!\cdots\!41$$$$T^{12}$$)($$1 + 11 T - 52891 T^{2} - 5679954 T^{3} + 1196544679 T^{4} + 141027727183 T^{5} - 21142399505114 T^{6} + 4201357020508753 T^{7} + 1061937807093463399 T^{8} -$$$$15\!\cdots\!34$$$$T^{9} -$$$$41\!\cdots\!51$$$$T^{10} +$$$$25\!\cdots\!61$$$$T^{11} +$$$$69\!\cdots\!41$$$$T^{12}$$)($$1 - 156 T - 32978 T^{2} + 21146712 T^{3} - 723353255 T^{4} - 792035220384 T^{5} + 162913502507182 T^{6} + 14319276886085100 T^{7} - 6398094999857655020 T^{8} +$$$$42\!\cdots\!00$$$$T^{9} +$$$$14\!\cdots\!42$$$$T^{10} -$$$$20\!\cdots\!64$$$$T^{11} -$$$$56\!\cdots\!55$$$$T^{12} +$$$$49\!\cdots\!12$$$$T^{13} -$$$$23\!\cdots\!98$$$$T^{14} -$$$$32\!\cdots\!36$$$$T^{15} +$$$$62\!\cdots\!21$$$$T^{16}$$)($$1 + 156 T - 32978 T^{2} - 21146712 T^{3} - 723353255 T^{4} + 792035220384 T^{5} + 162913502507182 T^{6} - 14319276886085100 T^{7} - 6398094999857655020 T^{8} -$$$$42\!\cdots\!00$$$$T^{9} +$$$$14\!\cdots\!42$$$$T^{10} +$$$$20\!\cdots\!64$$$$T^{11} -$$$$56\!\cdots\!55$$$$T^{12} -$$$$49\!\cdots\!12$$$$T^{13} -$$$$23\!\cdots\!98$$$$T^{14} +$$$$32\!\cdots\!36$$$$T^{15} +$$$$62\!\cdots\!21$$$$T^{16}$$)
$37$ ($$1 + 150 T + 50653 T^{2}$$)($$1 - 94 T + 50653 T^{2}$$)($$1 + 290 T + 50653 T^{2}$$)($$1 - 398 T + 50653 T^{2}$$)($$1 - 158 T + 50653 T^{2}$$)($$1 - 398 T + 50653 T^{2}$$)($$1 + 114 T + 50653 T^{2}$$)($$1 + 246 T + 50653 T^{2}$$)($$1 + 306 T + 50653 T^{2}$$)($$1 + 86 T + 50653 T^{2}$$)($$1 + 178 T + 50653 T^{2}$$)($$1 + 34 T + 50653 T^{2}$$)($$1 + 248 T + 98214 T^{2} + 12561944 T^{3} + 2565726409 T^{4}$$)($$1 + 24 T - 18202 T^{2} + 1215672 T^{3} + 2565726409 T^{4}$$)($$1 - 504 T + 163462 T^{2} - 25529112 T^{3} + 2565726409 T^{4}$$)($$( 1 - 244 T + 50653 T^{2} )^{2}$$)($$( 1 + 314 T + 50653 T^{2} )^{2}$$)($$( 1 + 314 T + 50653 T^{2} )^{2}$$)($$( 1 - 244 T + 50653 T^{2} )^{2}$$)($$( 1 - 196 T + 70696 T^{2} - 15303292 T^{3} + 2331128254 T^{4} - 775157649676 T^{5} + 181386594210664 T^{6} - 25472500999835092 T^{7} + 6582952005840035281 T^{8} )^{2}$$)($$( 1 - 196 T + 70696 T^{2} - 15303292 T^{3} + 2331128254 T^{4} - 775157649676 T^{5} + 181386594210664 T^{6} - 25472500999835092 T^{7} + 6582952005840035281 T^{8} )^{2}$$)($$( 1 + 180 T + 108651 T^{2} + 15672664 T^{3} + 5503499103 T^{4} + 461830753620 T^{5} + 129961739795077 T^{6} )^{4}$$)($$( 1 + 110 T + 50653 T^{2} )^{2}$$)($$( 1 - 230 T + 50653 T^{2} )^{4}$$)($$( 1 + 74 T + 50653 T^{2} )^{8}$$)($$( 1 - 20 T + 17166 T^{2} - 1013060 T^{3} + 2565726409 T^{4} )^{4}$$)($$1 + 352 T + 73251 T^{2} + 17829856 T^{3} + 2565726409 T^{4}$$)($$1 - 213 T - 5284 T^{2} - 10789089 T^{3} + 2565726409 T^{4}$$)($$1 - 4 T - 50637 T^{2} - 202612 T^{3} + 2565726409 T^{4}$$)($$1 + 44 T - 48717 T^{2} + 2228732 T^{3} + 2565726409 T^{4}$$)($$1 - 316 T + 49203 T^{2} - 16006348 T^{3} + 2565726409 T^{4}$$)($$1 - 145 T - 29628 T^{2} - 7344685 T^{3} + 2565726409 T^{4}$$)($$1 - 53 T - 99073 T^{2} - 30528 T^{3} + 7671931238 T^{4} - 1546334784 T^{5} - 254194212518857 T^{6} - 6887972209139081 T^{7} + 6582952005840035281 T^{8}$$)($$1 - 173 T - 32561 T^{2} + 6715168 T^{3} - 176719946 T^{4} + 340143404704 T^{5} - 83542617603449 T^{6} - 22483380984548321 T^{7} + 6582952005840035281 T^{8}$$)($$1 - 5 T - 3581 T^{2} + 488500 T^{3} - 2553989498 T^{4} + 24743990500 T^{5} - 9187866270629 T^{6} - 649808698975385 T^{7} + 6582952005840035281 T^{8}$$)($$1 + 7 T - 74033 T^{2} - 190568 T^{3} + 2919934318 T^{4} - 9652840904 T^{5} - 189948423237497 T^{6} + 909732178565539 T^{7} + 6582952005840035281 T^{8}$$)($$1 + 262 T - 97404 T^{2} - 9678072 T^{3} + 12194182072 T^{4} + 680381910454 T^{5} - 605701122868778 T^{6} + 34463384910226462 T^{7} + 31286934978284739448 T^{8} -$$$$12\!\cdots\!44$$$$T^{9} -$$$$64\!\cdots\!24$$$$T^{10} +$$$$87\!\cdots\!66$$$$T^{11} +$$$$16\!\cdots\!29$$$$T^{12}$$)($$1 - 326 T - 40436 T^{2} + 18187808 T^{3} + 3332413048 T^{4} - 833815922582 T^{5} - 13502224437562 T^{6} - 42235277926546046 T^{7} + 8550060162949784632 T^{8} +$$$$23\!\cdots\!16$$$$T^{9} -$$$$26\!\cdots\!16$$$$T^{10} -$$$$10\!\cdots\!18$$$$T^{11} +$$$$16\!\cdots\!29$$$$T^{12}$$)($$1 + 562 T + 96927 T^{2} + 20433478 T^{3} + 6672947797 T^{4} - 133338259404 T^{5} - 424704576098230 T^{6} - 111764205438445648 T^{7} - 26448023506271814942 T^{8} -$$$$56\!\cdots\!44$$$$T^{9} -$$$$10\!\cdots\!70$$$$T^{10} -$$$$17\!\cdots\!08$$$$T^{11} +$$$$43\!\cdots\!57$$$$T^{12} +$$$$68\!\cdots\!54$$$$T^{13} +$$$$16\!\cdots\!83$$$$T^{14} +$$$$48\!\cdots\!94$$$$T^{15} +$$$$43\!\cdots\!61$$$$T^{16}$$)($$( 1 + 110 T + 50653 T^{2} )( 1 + 323 T + 50653 T^{2} )$$)($$( 1 - 433 T + 50653 T^{2} )( 1 + 110 T + 50653 T^{2} )$$)($$( 1 - 120 T - 131448 T^{2} + 5838484 T^{3} + 12483585720 T^{4} - 236917823976 T^{5} - 718303568739474 T^{6} - 12000598537856328 T^{7} + 32029465560819279480 T^{8} +$$$$75\!\cdots\!68$$$$T^{9} -$$$$86\!\cdots\!88$$$$T^{10} -$$$$40\!\cdots\!60$$$$T^{11} +$$$$16\!\cdots\!29$$$$T^{12} )^{2}$$)($$( 1 - 382 T - 32782 T^{2} + 5434056 T^{3} + 8807187550 T^{4} - 649676877530 T^{5} - 374210188787594 T^{6} - 32908082877527090 T^{7} + 22596833686051007950 T^{8} +$$$$70\!\cdots\!12$$$$T^{9} -$$$$21\!\cdots\!42$$$$T^{10} -$$$$12\!\cdots\!26$$$$T^{11} +$$$$16\!\cdots\!29$$$$T^{12} )^{2}$$)($$( 1 + 481 T + 112380 T^{2} + 54049193 T^{3} + 15506464805 T^{4} + 2304344206032 T^{5} + 825964835350090 T^{6} + 186815232546592330 T^{7} + 21576403040344504200 T^{8} +$$$$94\!\cdots\!90$$$$T^{9} +$$$$21\!\cdots\!10$$$$T^{10} +$$$$29\!\cdots\!64$$$$T^{11} +$$$$10\!\cdots\!05$$$$T^{12} +$$$$18\!\cdots\!49$$$$T^{13} +$$$$18\!\cdots\!20$$$$T^{14} +$$$$41\!\cdots\!97$$$$T^{15} +$$$$43\!\cdots\!61$$$$T^{16} )^{2}$$)($$( 1 - 110 T + 50653 T^{2} )( 1 + 433 T + 50653 T^{2} )$$)($$( 1 - 323 T + 50653 T^{2} )( 1 - 110 T + 50653 T^{2} )$$)($$( 1 - 323 T + 50653 T^{2} )( 1 - 110 T + 50653 T^{2} )$$)($$( 1 - 110 T + 50653 T^{2} )( 1 + 433 T + 50653 T^{2} )$$)($$1 + 265 T + 19572 T^{2} + 13423045 T^{3} + 2565726409 T^{4}$$)($$1 + 358 T + 77511 T^{2} + 18133774 T^{3} + 2565726409 T^{4}$$)($$1 + 265 T + 19572 T^{2} + 13423045 T^{3} + 2565726409 T^{4}$$)($$1 + 358 T + 77511 T^{2} + 18133774 T^{3} + 2565726409 T^{4}$$)($$1 - 36 T - 80676 T^{2} + 7894012 T^{3} + 2372070996 T^{4} - 237906289116 T^{5} - 54356387031858 T^{6} - 12050667262592748 T^{7} + 6086085198460133364 T^{8} +$$$$10\!\cdots\!24$$$$T^{9} -$$$$53\!\cdots\!56$$$$T^{10} -$$$$12\!\cdots\!48$$$$T^{11} +$$$$16\!\cdots\!29$$$$T^{12}$$)($$1 - 159 T - 53142 T^{2} + 14536219 T^{3} + 30871368 T^{4} - 203665171563 T^{5} + 65858878286232 T^{6} - 10316251935180639 T^{7} + 79207484159557512 T^{8} +$$$$18\!\cdots\!63$$$$T^{9} -$$$$34\!\cdots\!02$$$$T^{10} -$$$$53\!\cdots\!87$$$$T^{11} +$$$$16\!\cdots\!29$$$$T^{12}$$)($$1 - 36 T - 80676 T^{2} + 7894012 T^{3} + 2372070996 T^{4} - 237906289116 T^{5} - 54356387031858 T^{6} - 12050667262592748 T^{7} + 6086085198460133364 T^{8} +$$$$10\!\cdots\!24$$$$T^{9} -$$$$53\!\cdots\!56$$$$T^{10} -$$$$12\!\cdots\!48$$$$T^{11} +$$$$16\!\cdots\!29$$$$T^{12}$$)($$1 - 159 T - 53142 T^{2} + 14536219 T^{3} + 30871368 T^{4} - 203665171563 T^{5} + 65858878286232 T^{6} - 10316251935180639 T^{7} + 79207484159557512 T^{8} +$$$$18\!\cdots\!63$$$$T^{9} -$$$$34\!\cdots\!02$$$$T^{10} -$$$$53\!\cdots\!87$$$$T^{11} +$$$$16\!\cdots\!29$$$$T^{12}$$)($$1 - 554 T + 26259 T^{2} + 12591818 T^{3} + 9163788497 T^{4} - 2305891019100 T^{5} - 324166235609066 T^{6} - 18411772051310624 T^{7} + 44553916166102609130 T^{8} -$$$$93\!\cdots\!72$$$$T^{9} -$$$$83\!\cdots\!94$$$$T^{10} -$$$$29\!\cdots\!00$$$$T^{11} +$$$$60\!\cdots\!57$$$$T^{12} +$$$$41\!\cdots\!74$$$$T^{13} +$$$$44\!\cdots\!11$$$$T^{14} -$$$$47\!\cdots\!98$$$$T^{15} +$$$$43\!\cdots\!61$$$$T^{16}$$)($$1 - 554 T + 26259 T^{2} + 12591818 T^{3} + 9163788497 T^{4} - 2305891019100 T^{5} - 324166235609066 T^{6} - 18411772051310624 T^{7} + 44553916166102609130 T^{8} -$$$$93\!\cdots\!72$$$$T^{9} -$$$$83\!\cdots\!94$$$$T^{10} -$$$$29\!\cdots\!00$$$$T^{11} +$$$$60\!\cdots\!57$$$$T^{12} +$$$$41\!\cdots\!74$$$$T^{13} +$$$$44\!\cdots\!11$$$$T^{14} -$$$$47\!\cdots\!98$$$$T^{15} +$$$$43\!\cdots\!61$$$$T^{16}$$)
$41$ ($$1 - 172 T + 68921 T^{2}$$)($$1 + 478 T + 68921 T^{2}$$)($$1 + 374 T + 68921 T^{2}$$)($$1 - 462 T + 68921 T^{2}$$)($$1 + 390 T + 68921 T^{2}$$)($$1 + 318 T + 68921 T^{2}$$)($$1 - 202 T + 68921 T^{2}$$)($$1 + 248 T + 68921 T^{2}$$)($$1 - 50 T + 68921 T^{2}$$)($$1 - 160 T + 68921 T^{2}$$)($$1 - 378 T + 68921 T^{2}$$)($$1 - 6 T + 68921 T^{2}$$)($$1 + 450 T + 175642 T^{2} + 31014450 T^{3} + 4750104241 T^{4}$$)($$1 - 694 T + 243914 T^{2} - 47831174 T^{3} + 4750104241 T^{4}$$)($$1 + 102 T + 99666 T^{2} + 7029942 T^{3} + 4750104241 T^{4}$$)($$1 - 1036 T^{2} + 4750104241 T^{4}$$)($$1 - 64834 T^{2} + 4750104241 T^{4}$$)($$1 - 64834 T^{2} + 4750104241 T^{4}$$)($$1 - 1036 T^{2} + 4750104241 T^{4}$$)($$1 - 237772 T^{2} + 34664599288 T^{4} - 3564171608723332 T^{6} +$$$$28\!\cdots\!46$$$$T^{8} -$$$$16\!\cdots\!12$$$$T^{10} +$$$$78\!\cdots\!28$$$$T^{12} -$$$$25\!\cdots\!12$$$$T^{14} +$$$$50\!\cdots\!61$$$$T^{16}$$)($$1 - 237772 T^{2} + 34664599288 T^{4} - 3564171608723332 T^{6} +$$$$28\!\cdots\!46$$$$T^{8} -$$$$16\!\cdots\!12$$$$T^{10} +$$$$78\!\cdots\!28$$$$T^{12} -$$$$25\!\cdots\!12$$$$T^{14} +$$$$50\!\cdots\!61$$$$T^{16}$$)($$( 1 - 193356 T^{2} + 22580988663 T^{4} - 1745347169586968 T^{6} +$$$$10\!\cdots\!83$$$$T^{8} -$$$$43\!\cdots\!36$$$$T^{10} +$$$$10\!\cdots\!21$$$$T^{12} )^{2}$$)($$( 1 + 68921 T^{2} )^{2}$$)($$( 1 + 117850 T^{2} + 4750104241 T^{4} )^{2}$$)($$( 1 + 180944 T^{2} + 15451545438 T^{4} + 859502861783504 T^{6} + 22563490300366186081 T^{8} )^{2}$$)($$( 1 + 1304 T^{2} - 7243528914 T^{4} + 6194135930264 T^{6} + 22563490300366186081 T^{8} )^{2}$$)($$( 1 + 296 T + 68921 T^{2} )^{2}$$)($$( 1 - 94 T + 68921 T^{2} )^{2}$$)($$( 1 - 16 T + 68921 T^{2} )^{2}$$)($$( 1 + 168 T + 68921 T^{2} )^{2}$$)($$( 1 - 360 T + 68921 T^{2} )^{2}$$)($$( 1 - 126 T + 68921 T^{2} )^{2}$$)($$( 1 + 170 T + 104162 T^{2} + 11716570 T^{3} + 4750104241 T^{4} )^{2}$$)($$( 1 - 174 T - 2846 T^{2} - 11992254 T^{3} + 4750104241 T^{4} )^{2}$$)($$( 1 + 162 T + 128770 T^{2} + 11165202 T^{3} + 4750104241 T^{4} )^{2}$$)($$( 1 + 426 T + 171106 T^{2} + 29360346 T^{3} + 4750104241 T^{4} )^{2}$$)($$( 1 - 244 T + 187983 T^{2} - 33933832 T^{3} + 12955976343 T^{4} - 1159025434804 T^{5} + 327381934393961 T^{6} )^{2}$$)($$( 1 + 516 T + 211167 T^{2} + 56124328 T^{3} + 14553840807 T^{4} + 2451053788356 T^{5} + 327381934393961 T^{6} )^{2}$$)($$( 1 - 428 T + 234552 T^{2} - 51690756 T^{3} + 18963959182 T^{4} - 3562578594276 T^{5} + 1114146449935032 T^{6} - 140119467920615308 T^{7} + 22563490300366186081 T^{8} )^{2}$$)($$( 1 + 68921 T^{2} )^{2}$$)($$( 1 + 68921 T^{2} )^{2}$$)($$( 1 + 284094 T^{2} + 38573492751 T^{4} + 3254645758116292 T^{6} +$$$$18\!\cdots\!91$$$$T^{8} +$$$$64\!\cdots\!14$$$$T^{10} +$$$$10\!\cdots\!21$$$$T^{12} )^{2}$$)($$( 1 + 240738 T^{2} + 28558186959 T^{4} + 2299629172416892 T^{6} +$$$$13\!\cdots\!19$$$$T^{8} +$$$$54\!\cdots\!78$$$$T^{10} +$$$$10\!\cdots\!21$$$$T^{12} )^{2}$$)($$( 1 + 118960 T^{2} + 6259839580 T^{4} - 19973031809456 T^{6} - 13756016580223913978 T^{8} -$$$$94\!\cdots\!96$$$$T^{10} +$$$$14\!\cdots\!80$$$$T^{12} +$$$$12\!\cdots\!60$$$$T^{14} +$$$$50\!\cdots\!61$$$$T^{16} )^{2}$$)($$( 1 - 68921 T^{2} )^{2}$$)($$( 1 - 68921 T^{2} )^{2}$$)($$( 1 - 68921 T^{2} )^{2}$$)($$( 1 - 68921 T^{2} )^{2}$$)($$1 - 15430 T^{2} + 4750104241 T^{4}$$)($$1 - 117670 T^{2} + 4750104241 T^{4}$$)($$1 - 15430 T^{2} + 4750104241 T^{4}$$)($$1 - 117670 T^{2} + 4750104241 T^{4}$$)($$1 + 32718 T^{2} + 7576531455 T^{4} + 9044755158404 T^{6} + 35989314196465400655 T^{8} +$$$$73\!\cdots\!58$$$$T^{10} +$$$$10\!\cdots\!21$$$$T^{12}$$)($$1 - 310386 T^{2} + 44392470783 T^{4} - 3824476185930748 T^{6} +$$$$21\!\cdots\!03$$$$T^{8} -$$$$70\!\cdots\!66$$$$T^{10} +$$$$10\!\cdots\!21$$$$T^{12}$$)($$1 + 32718 T^{2} + 7576531455 T^{4} + 9044755158404 T^{6} + 35989314196465400655 T^{8} +$$$$73\!\cdots\!58$$$$T^{10} +$$$$10\!\cdots\!21$$$$T^{12}$$)($$1 - 310386 T^{2} + 44392470783 T^{4} - 3824476185930748 T^{6} +$$$$21\!\cdots\!03$$$$T^{8} -$$$$70\!\cdots\!66$$$$T^{10} +$$$$10\!\cdots\!21$$$$T^{12}$$)($$1 - 360568 T^{2} + 65436088924 T^{4} - 7660952511263944 T^{6} +$$$$62\!\cdots\!18$$$$T^{8} -$$$$36\!\cdots\!04$$$$T^{10} +$$$$14\!\cdots\!44$$$$T^{12} -$$$$38\!\cdots\!28$$$$T^{14} +$$$$50\!\cdots\!61$$$$T^{16}$$)($$1 - 360568 T^{2} + 65436088924 T^{4} - 7660952511263944 T^{6} +$$$$62\!\cdots\!18$$$$T^{8} -$$$$36\!\cdots\!04$$$$T^{10} +$$$$14\!\cdots\!44$$$$T^{12} -$$$$38\!\cdots\!28$$$$T^{14} +$$$$50\!\cdots\!61$$$$T^{16}$$)
$43$ ($$1 + 164 T + 79507 T^{2}$$)($$1 - 316 T + 79507 T^{2}$$)($$1 + 164 T + 79507 T^{2}$$)($$1 + 212 T + 79507 T^{2}$$)($$1 - 508 T + 79507 T^{2}$$)($$1 - 268 T + 79507 T^{2}$$)($$1 + 116 T + 79507 T^{2}$$)($$1 + 68 T + 79507 T^{2}$$)($$1 + 20 T + 79507 T^{2}$$)($$1 - 220 T + 79507 T^{2}$$)($$1 - 172 T + 79507 T^{2}$$)($$1 + 164 T + 79507 T^{2}$$)($$1 + 376 T + 161526 T^{2} + 29894632 T^{3} + 6321363049 T^{4}$$)($$1 - 584 T + 232950 T^{2} - 46432088 T^{3} + 6321363049 T^{4}$$)($$1 + 296 T + 94646 T^{2} + 23534072 T^{3} + 6321363049 T^{4}$$)($$1 - 132878 T^{2} + 6321363049 T^{4}$$)($$1 - 16442 T^{2} + 6321363049 T^{4}$$)($$1 - 16442 T^{2} + 6321363049 T^{4}$$)($$1 - 132878 T^{2} + 6321363049 T^{4}$$)($$1 - 273872 T^{2} + 34345238716 T^{4} - 2691741399065264 T^{6} +$$$$18\!\cdots\!22$$$$T^{8} -$$$$17\!\cdots\!36$$$$T^{10} +$$$$13\!\cdots\!16$$$$T^{12} -$$$$69\!\cdots\!28$$$$T^{14} +$$$$15\!\cdots\!01$$$$T^{16}$$)($$1 - 273872 T^{2} + 34345238716 T^{4} - 2691741399065264 T^{6} +$$$$18\!\cdots\!22$$$$T^{8} -$$$$17\!\cdots\!36$$$$T^{10} +$$$$13\!\cdots\!16$$$$T^{12} -$$$$69\!\cdots\!28$$$$T^{14} +$$$$15\!\cdots\!01$$$$T^{16}$$)($$( 1 - 157146 T^{2} + 22424682903 T^{4} - 1999243853829676 T^{6} +$$$$14\!\cdots\!47$$$$T^{8} -$$$$62\!\cdots\!46$$$$T^{10} +$$$$25\!\cdots\!49$$$$T^{12} )^{2}$$)($$( 1 + 520 T + 79507 T^{2} )^{2}$$)($$( 1 + 44 T + 79507 T^{2} )^{4}$$)($$( 1 - 424 T + 125046 T^{2} - 33710968 T^{3} + 6321363049 T^{4} )^{4}$$)($$( 1 + 80 T + 151254 T^{2} + 6360560 T^{3} + 6321363049 T^{4} )^{4}$$)($$( 1 + 158 T + 79507 T^{2} )^{2}$$)($$( 1 - 67 T + 79507 T^{2} )^{2}$$)($$( 1 - 330 T + 79507 T^{2} )^{2}$$)($$( 1 + 326 T + 79507 T^{2} )^{2}$$)($$( 1 + 26 T + 79507 T^{2} )^{2}$$)($$( 1 - 325 T + 79507 T^{2} )^{2}$$)($$( 1 + 403 T + 107580 T^{2} + 32041321 T^{3} + 6321363049 T^{4} )^{2}$$)($$( 1 - 497 T + 174468 T^{2} - 39514979 T^{3} + 6321363049 T^{4} )^{2}$$)($$( 1 + 721 T + 288540 T^{2} + 57324547 T^{3} + 6321363049 T^{4} )^{2}$$)($$( 1 - 107 T + 86220 T^{2} - 8507249 T^{3} + 6321363049 T^{4} )^{2}$$)($$( 1 + 360 T + 166158 T^{2} + 38975294 T^{3} + 13210724106 T^{4} + 2275690697640 T^{5} + 502592611936843 T^{6} )^{2}$$)($$( 1 + 36 T + 97410 T^{2} - 1479718 T^{3} + 7744776870 T^{4} + 227569069764 T^{5} + 502592611936843 T^{6} )^{2}$$)($$( 1 - 258 T + 138485 T^{2} - 14865486 T^{3} + 6723608208 T^{4} - 1181910195402 T^{5} + 875413961840765 T^{6} - 129668893879705494 T^{7} + 39959630797262576401 T^{8} )^{2}$$)($$( 1 - 449 T + 79507 T^{2} )^{2}$$)($$( 1 - 71 T + 79507 T^{2} )^{2}$$)($$( 1 + 137673 T^{2} - 12209024 T^{3} + 10945967211 T^{4} + 502592611936843 T^{6} )^{4}$$)($$( 1 - 253 T + 215237 T^{2} - 33567598 T^{3} + 17112848159 T^{4} - 1599304851397 T^{5} + 502592611936843 T^{6} )^{4}$$)($$( 1 + 433 T + 232300 T^{2} + 65813497 T^{3} + 25262383030 T^{4} + 5232633705979 T^{5} + 1468452636282700 T^{6} + 217622600968653019 T^{7} + 39959630797262576401 T^{8} )^{4}$$)($$( 1 - 71 T + 79507 T^{2} )( 1 + 71 T + 79507 T^{2} )$$)($$( 1 - 449 T + 79507 T^{2} )( 1 + 449 T + 79507 T^{2} )$$)($$( 1 - 449 T + 79507 T^{2} )( 1 + 449 T + 79507 T^{2} )$$)($$( 1 - 71 T + 79507 T^{2} )( 1 + 71 T + 79507 T^{2} )$$)($$1 + 142453 T^{2} + 6321363049 T^{4}$$)($$1 - 314 T^{2} + 6321363049 T^{4}$$)($$1 + 142453 T^{2} + 6321363049 T^{4}$$)($$1 - 314 T^{2} + 6321363049 T^{4}$$)($$1 - 409080 T^{2} + 73422037560 T^{4} - 7508255823756938 T^{6} +$$$$46\!\cdots\!40$$$$T^{8} -$$$$16\!\cdots\!80$$$$T^{10} +$$$$25\!\cdots\!49$$$$T^{12}$$)($$1 - 367239 T^{2} + 61533225147 T^{4} - 6142833240064490 T^{6} +$$$$38\!\cdots\!03$$$$T^{8} -$$$$14\!\cdots\!39$$$$T^{10} +$$$$25\!\cdots\!49$$$$T^{12}$$)($$1 - 409080 T^{2} + 73422037560 T^{4} - 7508255823756938 T^{6} +$$$$46\!\cdots\!40$$$$T^{8} -$$$$16\!\cdots\!80$$$$T^{10} +$$$$25\!\cdots\!49$$$$T^{12}$$)($$1 - 367239 T^{2} + 61533225147 T^{4} - 6142833240064490 T^{6} +$$$$38\!\cdots\!03$$$$T^{8} -$$$$14\!\cdots\!39$$$$T^{10} +$$$$25\!\cdots\!49$$$$T^{12}$$)($$1 - 277346 T^{2} + 41098630753 T^{4} - 4748158804872386 T^{6} +$$$$43\!\cdots\!40$$$$T^{8} -$$$$30\!\cdots\!14$$$$T^{10} +$$$$16\!\cdots\!53$$$$T^{12} -$$$$70\!\cdots\!54$$$$T^{14} +$$$$15\!\cdots\!01$$$$T^{16}$$)($$1 - 277346 T^{2} + 41098630753 T^{4} - 4748158804872386 T^{6} +$$$$43\!\cdots\!40$$$$T^{8} -$$$$30\!\cdots\!14$$$$T^{10} +$$$$16\!\cdots\!53$$$$T^{12} -$$$$70\!\cdots\!54$$$$T^{14} +$$$$15\!\cdots\!01$$$$T^{16}$$)
$47$ ($$1 - 460 T + 103823 T^{2}$$)($$1 + 256 T + 103823 T^{2}$$)($$1 + 464 T + 103823 T^{2}$$)($$1 - 264 T + 103823 T^{2}$$)($$1 - 528 T + 103823 T^{2}$$)($$1 + 240 T + 103823 T^{2}$$)($$1 + 224 T + 103823 T^{2}$$)($$1 + 324 T + 103823 T^{2}$$)($$1 - 176 T + 103823 T^{2}$$)($$1 + 308 T + 103823 T^{2}$$)($$1 - 192 T + 103823 T^{2}$$)($$1 + 168 T + 103823 T^{2}$$)($$1 - 12 T + 141790 T^{2} - 1245876 T^{3} + 10779215329 T^{4}$$)($$1 - 316 T + 231902 T^{2} - 32808068 T^{3} + 10779215329 T^{4}$$)($$1 - 780 T + 326046 T^{2} - 80981940 T^{3} + 10779215329 T^{4}$$)($$( 1 - 180 T + 103823 T^{2} )^{2}$$)($$( 1 + 192 T + 103823 T^{2} )^{2}$$)($$( 1 - 192 T + 103823 T^{2} )^{2}$$)($$( 1 + 180 T + 103823 T^{2} )^{2}$$)($$( 1 + 408 T + 266828 T^{2} + 62051256 T^{3} + 32091577638 T^{4} + 6442347551688 T^{5} + 2876196467806412 T^{6} + 456605233025928936 T^{7} +$$$$11\!\cdots\!41$$$$T^{8} )^{2}$$)($$( 1 - 408 T + 266828 T^{2} - 62051256 T^{3} + 32091577638 T^{4} - 6442347551688 T^{5} + 2876196467806412 T^{6} - 456605233025928936 T^{7} +$$$$11\!\cdots\!41$$$$T^{8} )^{2}$$)($$( 1 + 309714 T^{2} + 58339927119 T^{4} + 7161872589826684 T^{6} +$$$$62\!\cdots\!51$$$$T^{8} +$$$$35\!\cdots\!74$$$$T^{10} +$$$$12\!\cdots\!89$$$$T^{12} )^{2}$$)($$( 1 + 103823 T^{2} )^{2}$$)($$( 1 + 89734 T^{2} + 10779215329 T^{4} )^{2}$$)($$( 1 + 159812 T^{2} + 21556242486 T^{4} + 1722647960158148 T^{6} +$$$$11\!\cdots\!41$$$$T^{8} )^{2}$$)($$( 1 + 93284 T^{2} - 1903367178 T^{4} + 1005528322750436 T^{6} +$$$$11\!\cdots\!41$$$$T^{8} )^{2}$$)($$1 + 142 T - 83659 T^{2} + 14742866 T^{3} + 10779215329 T^{4}$$)($$1 - 278 T - 26539 T^{2} - 28862794 T^{3} + 10779215329 T^{4}$$)($$1 + 298 T - 15019 T^{2} + 30939254 T^{3} + 10779215329 T^{4}$$)($$1 + 138 T - 84779 T^{2} + 14327574 T^{3} + 10779215329 T^{4}$$)($$1 + 30 T - 102923 T^{2} + 3114690 T^{3} + 10779215329 T^{4}$$)($$1 + 366 T + 30133 T^{2} + 37999218 T^{3} + 10779215329 T^{4}$$)($$1 - 368 T + 57542 T^{2} + 47753152 T^{3} - 18773735357 T^{4} + 4957875500096 T^{5} + 620257608461318 T^{6} - 411840014101818256 T^{7} +$$$$11\!\cdots\!41$$$$T^{8}$$)($$1 - 180 T - 150514 T^{2} + 4451760 T^{3} + 19314450867 T^{4} + 462195078480 T^{5} - 1622422816029106 T^{6} - 201443485158498060 T^{7} +$$$$11\!\cdots\!41$$$$T^{8}$$)($$1 + 216 T - 110122 T^{2} - 10987488 T^{3} + 8956160067 T^{4} - 1140753966624 T^{5} - 1187028750460138 T^{6} + 241732182190197672 T^{7} +$$$$11\!\cdots\!41$$$$T^{8}$$)($$1 - 576 T + 89606 T^{2} - 19885824 T^{3} + 13421113923 T^{4} - 2064605905152 T^{5} + 965882368770374 T^{6} - 644619152507193792 T^{7} +$$$$11\!\cdots\!41$$$$T^{8}$$)($$1 + 210 T - 20853 T^{2} - 83809446 T^{3} - 12756928590 T^{4} + 2596137940074 T^{5} + 3698984470026571 T^{6} + 269538829352302902 T^{7} -$$$$13\!\cdots\!10$$$$T^{8} -$$$$93\!\cdots\!82$$$$T^{9} -$$$$24\!\cdots\!73$$$$T^{10} +$$$$25\!\cdots\!30$$$$T^{11} +$$$$12\!\cdots\!89$$$$T^{12}$$)($$1 + 126 T - 145653 T^{2} - 55338442 T^{3} + 4552653426 T^{4} + 3245187461862 T^{5} + 790505587956491 T^{6} + 336925097852898426 T^{7} + 49074031597163567154 T^{8} -$$$$61\!\cdots\!14$$$$T^{9} -$$$$16\!\cdots\!73$$$$T^{10} +$$$$15\!\cdots\!18$$$$T^{11} +$$$$12\!\cdots\!89$$$$T^{12}$$)($$1 + 80 T - 72644 T^{2} - 6548832 T^{3} - 12988268278 T^{4} - 1818448304848 T^{5} + 212222445342192 T^{6} + 172548730822776400 T^{7} +$$$$17\!\cdots\!23$$$$T^{8} +$$$$17\!\cdots\!00$$$$T^{9} +$$$$22\!\cdots\!68$$$$T^{10} -$$$$20\!\cdots\!16$$$$T^{11} -$$$$15\!\cdots\!98$$$$T^{12} -$$$$79\!\cdots\!76$$$$T^{13} -$$$$90\!\cdots\!16$$$$T^{14} +$$$$10\!\cdots\!60$$$$T^{15} +$$$$13\!\cdots\!81$$$$T^{16}$$)($$1 - 103823 T^{2} + 10779215329 T^{4}$$)($$1 - 103823 T^{2} + 10779215329 T^{4}$$)($$1 - 90936 T^{2} + 9775711944 T^{4} - 2661755644478884 T^{6} +$$$$14\!\cdots\!12$$$$T^{8} -$$$$15\!\cdots\!88$$$$T^{10} +$$$$34\!\cdots\!62$$$$T^{12} -$$$$16\!\cdots\!52$$$$T^{14} +$$$$16\!\cdots\!92$$$$T^{16} -$$$$33\!\cdots\!76$$$$T^{18} +$$$$13\!\cdots\!64$$$$T^{20} -$$$$13\!\cdots\!64$$$$T^{22} +$$$$15\!\cdots\!21$$$$T^{24}$$)($$1 - 437385 T^{2} + 98505882894 T^{4} - 16642251751296271 T^{6} +$$$$23\!\cdots\!92$$$$T^{8} -$$$$28\!\cdots\!97$$$$T^{10} +$$$$30\!\cdots\!08$$$$T^{12} -$$$$30\!\cdots\!13$$$$T^{14} +$$$$27\!\cdots\!72$$$$T^{16} -$$$$20\!\cdots\!19$$$$T^{18} +$$$$13\!\cdots\!14$$$$T^{20} -$$$$63\!\cdots\!65$$$$T^{22} +$$$$15\!\cdots\!21$$$$T^{24}$$)($$1 - 490606 T^{2} + 120540379107 T^{4} - 20279964476710226 T^{6} +$$$$26\!\cdots\!29$$$$T^{8} -$$$$28\!\cdots\!76$$$$T^{10} +$$$$23\!\cdots\!06$$$$T^{12} -$$$$17\!\cdots\!32$$$$T^{14} +$$$$14\!\cdots\!66$$$$T^{16} -$$$$18\!\cdots\!28$$$$T^{18} +$$$$27\!\cdots\!46$$$$T^{20} -$$$$35\!\cdots\!64$$$$T^{22} +$$$$35\!\cdots\!49$$$$T^{24} -$$$$29\!\cdots\!74$$$$T^{26} +$$$$18\!\cdots\!47$$$$T^{28} -$$$$82\!\cdots\!54$$$$T^{30} +$$$$18\!\cdots\!61$$$$T^{32}$$)($$1 - 103823 T^{2} + 10779215329 T^{4}$$)($$1 - 103823 T^{2} + 10779215329 T^{4}$$)($$1 - 103823 T^{2} + 10779215329 T^{4}$$)($$1 - 103823 T^{2} + 10779215329 T^{4}$$)($$1 - 66 T - 99467 T^{2} - 6852318 T^{3} + 10779215329 T^{4}$$)($$1 + 192 T - 66959 T^{2} + 19934016 T^{3} + 10779215329 T^{4}$$)($$1 + 66 T - 99467 T^{2} + 6852318 T^{3} + 10779215329 T^{4}$$)($$1 - 192 T - 66959 T^{2} - 19934016 T^{3} + 10779215329 T^{4}$$)($$1 - 84 T - 190329 T^{2} + 41987292 T^{3} + 16007894826 T^{4} - 3242798829156 T^{5} - 1025286424668209 T^{6} - 336677102839463388 T^{7} +$$$$17\!\cdots\!54$$$$T^{8} +$$$$46\!\cdots\!64$$$$T^{9} -$$$$22\!\cdots\!89$$$$T^{10} -$$$$10\!\cdots\!12$$$$T^{11} +$$$$12\!\cdots\!89$$$$T^{12}$$)($$1 + 378 T - 21417 T^{2} - 14605542 T^{3} - 4561843602 T^{4} - 2519599690566 T^{5} - 633442854439325 T^{6} - 261592398673633818 T^{7} - 49173094483178975058 T^{8} -$$$$16\!\cdots\!14$$$$T^{9} -$$$$24\!\cdots\!97$$$$T^{10} +$$$$45\!\cdots\!54$$$$T^{11} +$$$$12\!\cdots\!89$$$$T^{12}$$)($$1 + 84 T - 190329 T^{2} - 41987292 T^{3} + 16007894826 T^{4} + 3242798829156 T^{5} - 1025286424668209 T^{6} + 336677102839463388 T^{7} +$$$$17\!\cdots\!54$$$$T^{8} -$$$$46\!\cdots\!64$$$$T^{9} -$$$$22\!\cdots\!89$$$$T^{10} +$$$$10\!\cdots\!12$$$$T^{11} +$$$$12\!\cdots\!89$$$$T^{12}$$)($$1 - 378 T - 21417 T^{2} + 14605542 T^{3} - 4561843602 T^{4} + 2519599690566 T^{5} - 633442854439325 T^{6} + 261592398673633818 T^{7} - 49173094483178975058 T^{8} +$$$$16\!\cdots\!14$$$$T^{9} -$$$$24\!\cdots\!97$$$$T^{10} -$$$$45\!\cdots\!54$$$$T^{11} +$$$$12\!\cdots\!89$$$$T^{12}$$)($$1 - 840 T + 180616 T^{2} - 24821808 T^{3} + 24717167218 T^{4} - 2992568112792 T^{5} - 3483279216886304 T^{6} + 1154222243085324696 T^{7} -$$$$21\!\cdots\!09$$$$T^{8} +$$$$11\!\cdots\!08$$$$T^{9} -$$$$37\!\cdots\!16$$$$T^{10} -$$$$33\!\cdots\!64$$$$T^{11} +$$$$28\!\cdots\!38$$$$T^{12} -$$$$29\!\cdots\!44$$$$T^{13} +$$$$22\!\cdots\!24$$$$T^{14} -$$$$10\!\cdots\!80$$$$T^{15} +$$$$13\!\cdots\!81$$$$T^{16}$$)($$1 + 840 T + 180616 T^{2} + 24821808 T^{3} + 24717167218 T^{4} + 2992568112792 T^{5} - 3483279216886304 T^{6} - 1154222243085324696 T^{7} -$$$$21\!\cdots\!09$$$$T^{8} -$$$$11\!\cdots\!08$$$$T^{9} -$$$$37\!\cdots\!16$$$$T^{10} +$$$$33\!\cdots\!64$$$$T^{11} +$$$$28\!\cdots\!38$$$$T^{12} +$$$$29\!\cdots\!44$$$$T^{13} +$$$$22\!\cdots\!24$$$$T^{14} +$$$$10\!\cdots\!80$$$$T^{15} +$$$$13\!\cdots\!81$$$$T^{16}$$)
$53$ ($$1 + 190 T + 148877 T^{2}$$)($$1 + 66 T + 148877 T^{2}$$)($$1 + 162 T + 148877 T^{2}$$)($$1 + 162 T + 148877 T^{2}$$)($$1 - 606 T + 148877 T^{2}$$)($$1 + 498 T + 148877 T^{2}$$)($$1 + 274 T + 148877 T^{2}$$)($$1 - 258 T + 148877 T^{2}$$)($$1 - 526 T + 148877 T^{2}$$)($$1 - 258 T + 148877 T^{2}$$)($$1 + 402 T + 148877 T^{2}$$)($$1 - 654 T + 148877 T^{2}$$)($$1 + 1104 T + 602230 T^{2} + 164360208 T^{3} + 22164361129 T^{4}$$)($$1 - 560 T + 369782 T^{2} - 83371120 T^{3} + 22164361129 T^{4}$$)($$1 - 192 T + 197782 T^{2} - 28584384 T^{3} + 22164361129 T^{4}$$)($$( 1 - 594 T + 148877 T^{2} )^{2}$$)($$( 1 + 150 T + 148877 T^{2} )^{2}$$)($$( 1 + 150 T + 148877 T^{2} )^{2}$$)($$( 1 - 594 T + 148877 T^{2} )^{2}$$)($$( 1 - 144 T + 272156 T^{2} - 93836016 T^{3} + 36246347862 T^{4} - 13970024554032 T^{5} + 6032163867424124 T^{6} - 475165957219507152 T^{7} +$$$$49\!\cdots\!41$$$$T^{8} )^{2}$$)($$( 1 - 144 T + 272156 T^{2} - 93836016 T^{3} + 36246347862 T^{4} - 13970024554032 T^{5} + 6032163867424124 T^{6} - 475165957219507152 T^{7} +$$$$49\!\cdots\!41$$$$T^{8} )^{2}$$)($$( 1 - 465654 T^{2} + 132219070935 T^{4} - 23481979333640756 T^{6} +$$$$29\!\cdots\!15$$$$T^{8} -$$$$22\!\cdots\!14$$$$T^{10} +$$$$10\!\cdots\!89$$$$T^{12} )^{2}$$)($$( 1 - 148877 T^{2} )^{2}$$)($$( 1 - 255254 T^{2} + 22164361129 T^{4} )^{2}$$)($$( 1 - 386240 T^{2} + 79722075246 T^{4} - 8560762842464960 T^{6} +$$$$49\!\cdots\!41$$$$T^{8} )^{2}$$)($$( 1 - 373568 T^{2} + 69621522414 T^{4} - 8279896058238272 T^{6} +$$$$49\!\cdots\!41$$$$T^{8} )^{2}$$)($$1 - 375 T - 8252 T^{2} - 55828875 T^{3} + 22164361129 T^{4}$$)($$1 - 400 T + 11123 T^{2} - 59550800 T^{3} + 22164361129 T^{4}$$)($$1 - 717 T + 365212 T^{2} - 106744809 T^{3} + 22164361129 T^{4}$$)($$1 + 639 T + 259444 T^{2} + 95132403 T^{3} + 22164361129 T^{4}$$)($$1 + 363 T - 17108 T^{2} + 54042351 T^{3} + 22164361129 T^{4}$$)($$1 - 768 T + 440947 T^{2} - 114337536 T^{3} + 22164361129 T^{4}$$)($$1 + 697 T + 69759 T^{2} + 82452312 T^{3} + 78607454878 T^{4} + 12275252853624 T^{5} + 1546163667997911 T^{6} + 2299935223486086701 T^{7} +$$$$49\!\cdots\!41$$$$T^{8}$$)($$1 + 285 T - 143341 T^{2} - 20858580 T^{3} + 16172992902 T^{4} - 3105362814660 T^{5} - 3177061688591989 T^{6} + 940432623663607905 T^{7} +$$$$49\!\cdots\!41$$$$T^{8}$$)($$1 + 495 T - 110077 T^{2} + 28387260 T^{3} + 67454482350 T^{4} + 4226210107020 T^{5} - 2439786379996933 T^{6} + 1633382977942055835 T^{7} +$$$$49\!\cdots\!41$$$$T^{8}$$)($$1 - 243 T - 250441 T^{2} - 2851848 T^{3} + 64828660998 T^{4} - 424574574696 T^{5} - 5550864765507889 T^{6} - 801842552807918319 T^{7} +$$$$49\!\cdots\!41$$$$T^{8}$$)($$1 + 393 T - 211446 T^{2} - 23899125 T^{3} + 46453564620 T^{4} - 3425920762143 T^{5} - 9724787230272680 T^{6} - 510040805305563411 T^{7} +$$$$10\!\cdots\!80$$$$T^{8} -$$$$78\!\cdots\!25$$$$T^{9} -$$$$10\!\cdots\!86$$$$T^{10} +$$$$28\!\cdots\!01$$$$T^{11} +$$$$10\!\cdots\!89$$$$T^{12}$$)($$1 - 385 T - 278274 T^{2} + 65424721 T^{3} + 74202339448 T^{4} - 8609250448537 T^{5} - 10584598573216912 T^{6} - 1281719379026842949 T^{7} +$$$$16\!\cdots\!92$$$$T^{8} +$$$$21\!\cdots\!93$$$$T^{9} -$$$$13\!\cdots\!34$$$$T^{10} -$$$$28\!\cdots\!45$$$$T^{11} +$$$$10\!\cdots\!89$$$$T^{12}$$)($$1 - 460199 T^{2} + 6027320 T^{3} + 119090823613 T^{4} - 1835547978160 T^{5} - 22247786120376670 T^{6} + 133606990841812280 T^{7} +$$$$34\!\cdots\!74$$$$T^{8} +$$$$19\!\cdots\!60$$$$T^{9} -$$$$49\!\cdots\!30$$$$T^{10} -$$$$60\!\cdots\!80$$$$T^{11} +$$$$58\!\cdots\!33$$$$T^{12} +$$$$44\!\cdots\!40$$$$T^{13} -$$$$50\!\cdots\!11$$$$T^{14} +$$$$24\!\cdots\!81$$$$T^{16}$$)($$1 + 148877 T^{2} + 22164361129 T^{4}$$)($$1 + 148877 T^{2} + 22164361129 T^{4}$$)($$1 + 289047 T^{2} + 67795147191 T^{4} + 7626248096694088 T^{6} +$$$$34\!\cdots\!89$$$$T^{8} -$$$$84\!\cdots\!19$$$$T^{10} -$$$$22\!\cdots\!46$$$$T^{12} -$$$$18\!\cdots\!51$$$$T^{14} +$$$$16\!\cdots\!49$$$$T^{16} +$$$$83\!\cdots\!32$$$$T^{18} +$$$$16\!\cdots\!71$$$$T^{20} +$$$$15\!\cdots\!03$$$$T^{22} +$$$$11\!\cdots\!21$$$$T^{24}$$)($$1 + 362162 T^{2} + 31342470242 T^{4} + 2991238457561520 T^{6} +$$$$17\!\cdots\!22$$$$T^{8} +$$$$23\!\cdots\!54$$$$T^{10} +$$$$11\!\cdots\!62$$$$T^{12} +$$$$51\!\cdots\!66$$$$T^{14} +$$$$85\!\cdots\!02$$$$T^{16} +$$$$32\!\cdots\!80$$$$T^{18} +$$$$75\!\cdots\!02$$$$T^{20} +$$$$19\!\cdots\!38$$$$T^{22} +$$$$11\!\cdots\!21$$$$T^{24}$$)($$1 + 621217 T^{2} + 162286761384 T^{4} + 32889047160459173 T^{6} +$$$$78\!\cdots\!49$$$$T^{8} +$$$$15\!\cdots\!88$$$$T^{10} +$$$$23\!\cdots\!18$$$$T^{12} +$$$$39\!\cdots\!02$$$$T^{14} +$$$$67\!\cdots\!68$$$$T^{16} +$$$$87\!\cdots\!58$$$$T^{18} +$$$$11\!\cdots\!38$$$$T^{20} +$$$$16\!\cdots\!32$$$$T^{22} +$$$$18\!\cdots\!69$$$$T^{24} +$$$$17\!\cdots\!77$$$$T^{26} +$$$$19\!\cdots\!64$$$$T^{28} +$$$$16\!\cdots\!53$$$$T^{30} +$$$$58\!\cdots\!61$$$$T^{32}$$)($$1 + 148877 T^{2} + 22164361129 T^{4}$$)($$1 + 148877 T^{2} + 22164361129 T^{4}$$)($$1 + 148877 T^{2} + 22164361129 T^{4}$$)($$1 + 148877 T^{2} + 22164361129 T^{4}$$)($$1 - 288 T - 65933 T^{2} - 42876576 T^{3} + 22164361129 T^{4}$$)($$1 + 417 T + 25012 T^{2} + 62081709 T^{3} + 22164361129 T^{4}$$)($$1 - 288 T - 65933 T^{2} - 42876576 T^{3} + 22164361129 T^{4}$$)($$1 + 417 T + 25012 T^{2} + 62081709 T^{3} + 22164361129 T^{4}$$)($$1 - 453 T - 99042 T^{2} + 148313085 T^{3} - 17537740608 T^{4} - 12531307414269 T^{5} + 8738706267594664 T^{6} - 1865623453914125913 T^{7} -$$$$38\!\cdots\!32$$$$T^{8} +$$$$48\!\cdots\!05$$$$T^{9} -$$$$48\!\cdots\!22$$$$T^{10} -$$$$33\!\cdots\!21$$$$T^{11} +$$$$10\!\cdots\!89$$$$T^{12}$$)($$1 - 78 T - 227616 T^{2} + 74065080 T^{3} + 16223681580 T^{4} - 7085698111662 T^{5} + 463189972351030 T^{6} - 1054897477769903574 T^{7} +$$$$35\!\cdots\!20$$$$T^{8} +$$$$24\!\cdots\!40$$$$T^{9} -$$$$11\!\cdots\!56$$$$T^{10} -$$$$57\!\cdots\!46$$$$T^{11} +$$$$10\!\cdots\!89$$$$T^{12}$$)($$1 - 453 T - 99042 T^{2} + 148313085 T^{3} - 17537740608 T^{4} - 12531307414269 T^{5} + 8738706267594664 T^{6} - 1865623453914125913 T^{7} -$$$$38\!\cdots\!32$$$$T^{8} +$$$$48\!\cdots\!05$$$$T^{9} -$$$$48\!\cdots\!22$$$$T^{10} -$$$$33\!\cdots\!21$$$$T^{11} +$$$$10\!\cdots\!89$$$$T^{12}$$)($$1 - 78 T - 227616 T^{2} + 74065080 T^{3} + 16223681580 T^{4} - 7085698111662 T^{5} + 463189972351030 T^{6} - 1054897477769903574 T^{7} +$$$$35\!\cdots\!20$$$$T^{8} +$$$$24\!\cdots\!40$$$$T^{9} -$$$$11\!\cdots\!56$$$$T^{10} -$$$$57\!\cdots\!46$$$$T^{11} +$$$$10\!\cdots\!89$$$$T^{12}$$)($$1 - 186 T - 68045 T^{2} - 46923510 T^{3} + 2586089845 T^{4} + 7420105534212 T^{5} + 4047378726188698 T^{6} - 1315561591513689864 T^{7} -$$$$41\!\cdots\!78$$$$T^{8} -$$$$19\!\cdots\!28$$$$T^{9} +$$$$89\!\cdots\!42$$$$T^{10} +$$$$24\!\cdots\!96$$$$T^{11} +$$$$12\!\cdots\!45$$$$T^{12} -$$$$34\!\cdots\!70$$$$T^{13} -$$$$74\!\cdots\!05$$$$T^{14} -$$$$30\!\cdots\!58$$$$T^{15} +$$$$24\!\cdots\!81$$$$T^{16}$$)($$1 - 186 T - 68045 T^{2} - 46923510 T^{3} + 2586089845 T^{4} + 7420105534212 T^{5} + 4047378726188698 T^{6} - 1315561591513689864 T^{7} -$$$$41\!\cdots\!78$$$$T^{8} -$$$$19\!\cdots\!28$$$$T^{9} +$$$$89\!\cdots\!42$$$$T^{10} +$$$$24\!\cdots\!96$$$$T^{11} +$$$$12\!\cdots\!45$$$$T^{12} -$$$$34\!\cdots\!70$$$$T^{13} -$$$$74\!\cdots\!05$$$$T^{14} -$$$$30\!\cdots\!58$$$$T^{15} +$$$$24\!\cdots\!81$$$$T^{16}$$)
$59$ ($$1 + 96 T + 205379 T^{2}$$)($$1 + 420 T + 205379 T^{2}$$)($$1 + 180 T + 205379 T^{2}$$)($$1 - 772 T + 205379 T^{2}$$)($$1 - 364 T + 205379 T^{2}$$)($$1 - 132 T + 205379 T^{2}$$)($$1 - 660 T + 205379 T^{2}$$)($$1 + 120 T + 205379 T^{2}$$)($$1 + 540 T + 205379 T^{2}$$)($$1 + 264 T + 205379 T^{2}$$)($$1 + 396 T + 205379 T^{2}$$)($$1 - 492 T + 205379 T^{2}$$)($$1 + 804 T + 380614 T^{2} + 165124716 T^{3} + 42180533641 T^{4}$$)($$1 - 492 T + 351622 T^{2} - 101046468 T^{3} + 42180533641 T^{4}$$)($$1 + 212 T + 355942 T^{2} + 43540348 T^{3} + 42180533641 T^{4}$$)($$( 1 - 540 T + 205379 T^{2} )^{2}$$)($$( 1 + 204 T + 205379 T^{2} )^{2}$$)($$( 1 - 204 T + 205379 T^{2} )^{2}$$)($$( 1 + 540 T + 205379 T^{2} )^{2}$$)($$( 1 + 912 T + 752684 T^{2} + 485643024 T^{3} + 219867046134 T^{4} + 99740878626096 T^{5} + 31748612783042444 T^{6} + 7900652186613304368 T^{7} +$$$$17\!\cdots\!81$$$$T^{8} )^{2}$$)($$( 1 - 912 T + 752684 T^{2} - 485643024 T^{3} + 219867046134 T^{4} - 99740878626096 T^{5} + 31748612783042444 T^{6} - 7900652186613304368 T^{7} +$$$$17\!\cdots\!81$$$$T^{8} )^{2}$$)($$( 1 + 759810 T^{2} + 245204587515 T^{4} + 53947255679253236 T^{6} +$$$$10\!\cdots\!15$$$$T^{8} +$$$$13\!\cdots\!10$$$$T^{10} +$$$$75\!\cdots\!21$$$$T^{12} )^{2}$$)($$( 1 + 205379 T^{2} )^{2}$$)($$( 1 + 393520 T^{2} + 42180533641 T^{4} )^{2}$$)($$( 1 + 240686 T^{2} + 18524601378 T^{4} + 10152263919917726 T^{6} +$$$$17\!\cdots\!81$$$$T^{8} )^{2}$$)($$( 1 + 262646 T^{2} + 55216867986 T^{4} + 11078548438674086 T^{6} +$$$$17\!\cdots\!81$$$$T^{8} )^{2}$$)($$1 - 279 T - 127538 T^{2} - 57300741 T^{3} + 42180533641 T^{4}$$)($$1 - 744 T + 348157 T^{2} - 152801976 T^{3} + 42180533641 T^{4}$$)($$1 + 217 T - 158290 T^{2} + 44567243 T^{3} + 42180533641 T^{4}$$)($$1 - 159 T - 180098 T^{2} - 32655261 T^{3} + 42180533641 T^{4}$$)($$1 + 15 T - 205154 T^{2} + 3080685 T^{3} + 42180533641 T^{4}$$)($$1 + 264 T - 135683 T^{2} + 54220056 T^{3} + 42180533641 T^{4}$$)($$1 + 585 T - 62053 T^{2} - 3790800 T^{3} + 50974339368 T^{4} - 778550713200 T^{5} - 2617428654024973 T^{6} + 5067852553913139315 T^{7} +$$$$17\!\cdots\!81$$$$T^{8}$$)($$1 + 1269 T + 798167 T^{2} + 509422284 T^{3} + 286744228176 T^{4} + 104624639265636 T^{5} + 33667109994636047 T^{6} + 10993341693873117591 T^{7} +$$$$17\!\cdots\!81$$$$T^{8}$$)($$1 - 173 T - 252777 T^{2} + 22152996 T^{3} + 31595360704 T^{4} + 4549760165484 T^{5} - 10662268752171057 T^{6} - 1498698276627304447 T^{7} +$$$$17\!\cdots\!81$$$$T^{8}$$)($$1 + 7 T - 200565 T^{2} - 1471008 T^{3} - 1944620216 T^{4} - 302114152032 T^{5} - 8459938729707165 T^{6} + 60640970730584573 T^{7} +$$$$17\!\cdots\!81$$$$T^{8}$$)($$1 - 1143 T + 557208 T^{2} - 118327563 T^{3} - 14314666608 T^{4} + 27063102119841 T^{5} - 16891447327378130 T^{6} + 5558192850270824739 T^{7} -$$$$60\!\cdots\!28$$$$T^{8} -$$$$10\!\cdots\!57$$$$T^{9} +$$$$99\!\cdots\!48$$$$T^{10} -$$$$41\!\cdots\!57$$$$T^{11} +$$$$75\!\cdots\!21$$$$T^{12}$$)($$1 - 285 T - 484380 T^{2} + 69348171 T^{3} + 170892879300 T^{4} - 11007191102325 T^{5} - 38514898051130018 T^{6} - 2260645901404406175 T^{7} +$$$$72\!\cdots\!00$$$$T^{8} +$$$$60\!\cdots\!69$$$$T^{9} -$$$$86\!\cdots\!80$$$$T^{10} -$$$$10\!\cdots\!15$$$$T^{11} +$$$$75\!\cdots\!21$$$$T^{12}$$)($$1 - 262 T - 476321 T^{2} + 269419350 T^{3} + 105142972577 T^{4} - 82414842675328 T^{5} + 2239917554573790 T^{6} + 9432965691336760132 T^{7} -$$$$28\!\cdots\!50$$$$T^{8} +$$$$19\!\cdots\!28$$$$T^{9} +$$$$94\!\cdots\!90$$$$T^{10} -$$$$71\!\cdots\!92$$$$T^{11} +$$$$18\!\cdots\!37$$$$T^{12} +$$$$98\!\cdots\!50$$$$T^{13} -$$$$35\!\cdots\!41$$$$T^{14} -$$$$40\!\cdots\!58$$$$T^{15} +$$$$31\!\cdots\!61$$$$T^{16}$$)($$1 - 205379 T^{2} + 42180533641 T^{4}$$)($$1 - 205379 T^{2} + 42180533641 T^{4}$$)($$1 - 682605 T^{2} + 202333862871 T^{4} - 47742310131832768 T^{6} +$$$$13\!\cdots\!97$$$$T^{8} -$$$$34\!\cdots\!19$$$$T^{10} +$$$$75\!\cdots\!62$$$$T^{12} -$$$$14\!\cdots\!79$$$$T^{14} +$$$$23\!\cdots\!57$$$$T^{16} -$$$$35\!\cdots\!28$$$$T^{18} +$$$$64\!\cdots\!31$$$$T^{20} -$$$$91\!\cdots\!05$$$$T^{22} +$$$$56\!\cdots\!41$$$$T^{24}$$)($$1 - 661854 T^{2} + 202275596298 T^{4} - 40619516236130848 T^{6} +$$$$74\!\cdots\!38$$$$T^{8} -$$$$16\!\cdots\!86$$$$T^{10} +$$$$35\!\cdots\!06$$$$T^{12} -$$$$68\!\cdots\!26$$$$T^{14} +$$$$13\!\cdots\!78$$$$T^{16} -$$$$30\!\cdots\!08$$$$T^{18} +$$$$64\!\cdots\!78$$$$T^{20} -$$$$88\!\cdots\!54$$$$T^{22} +$$$$56\!\cdots\!41$$$$T^{24}$$)($$1 - 613987 T^{2} + 180726782592 T^{4} - 7409410440137327 T^{6} -$$$$99\!\cdots\!95$$$$T^{8} +$$$$34\!\cdots\!60$$$$T^{10} -$$$$26\!\cdots\!26$$$$T^{12} -$$$$10\!\cdots\!54$$$$T^{14} +$$$$39\!\cdots\!16$$$$T^{16} -$$$$43\!\cdots\!14$$$$T^{18} -$$$$47\!\cdots\!06$$$$T^{20} +$$$$25\!\cdots\!60$$$$T^{22} -$$$$31\!\cdots\!95$$$$T^{24} -$$$$98\!\cdots\!27$$$$T^{26} +$$$$10\!\cdots\!72$$$$T^{28} -$$$$14\!\cdots\!47$$$$T^{30} +$$$$10\!\cdots\!21$$$$T^{32}$$)($$1 - 205379 T^{2} + 42180533641 T^{4}$$)($$1 - 205379 T^{2} + 42180533641 T^{4}$$)($$1 - 205379 T^{2} + 42180533641 T^{4}$$)($$1 - 205379 T^{2} + 42180533641 T^{4}$$)($$1 - 720 T + 313021 T^{2} - 147872880 T^{3} + 42180533641 T^{4}$$)($$1 + 561 T + 109342 T^{2} + 115217619 T^{3} + 42180533641 T^{4}$$)($$1 + 720 T + 313021 T^{2} + 147872880 T^{3} + 42180533641 T^{4}$$)($$1 - 561 T + 109342 T^{2} - 115217619 T^{3} + 42180533641 T^{4}$$)($$1 + 153 T - 339684 T^{2} - 126895743 T^{3} + 43307503044 T^{4} + 16757660704689 T^{5} - 2415959635373066 T^{6} + 3441671597868322131 T^{7} +$$$$18\!\cdots\!04$$$$T^{8} -$$$$10\!\cdots\!77$$$$T^{9} -$$$$60\!\cdots\!04$$$$T^{10} +$$$$55\!\cdots\!47$$$$T^{11} +$$$$75\!\cdots\!21$$$$T^{12}$$)($$1 + 150 T - 235230 T^{2} - 72577956 T^{3} + 5149614030 T^{4} + 4781995912590 T^{5} + 5828123208876262 T^{6} + 982121538531821610 T^{7} +$$$$21\!\cdots\!30$$$$T^{8} -$$$$62\!\cdots\!84$$$$T^{9} -$$$$41\!\cdots\!30$$$$T^{10} +$$$$54\!\cdots\!50$$$$T^{11} +$$$$75\!\cdots\!21$$$$T^{12}$$)($$1 - 153 T - 339684 T^{2} + 126895743 T^{3} + 43307503044 T^{4} - 16757660704689 T^{5} - 2415959635373066 T^{6} - 3441671597868322131 T^{7} +$$$$18\!\cdots\!04$$$$T^{8} +$$$$10\!\cdots\!77$$$$T^{9} -$$$$60\!\cdots\!04$$$$T^{10} -$$$$55\!\cdots\!47$$$$T^{11} +$$$$75\!\cdots\!21$$$$T^{12}$$)($$1 - 150 T - 235230 T^{2} + 72577956 T^{3} + 5149614030 T^{4} - 4781995912590 T^{5} + 5828123208876262 T^{6} - 982121538531821610 T^{7} +$$$$21\!\cdots\!30$$$$T^{8} +$$$$62\!\cdots\!84$$$$T^{9} -$$$$41\!\cdots\!30$$$$T^{10} -$$$$54\!\cdots\!50$$$$T^{11} +$$$$75\!\cdots\!21$$$$T^{12}$$)($$1 + 126 T - 261977 T^{2} + 15482754 T^{3} + 47716720705 T^{4} - 2402388147600 T^{5} + 15431801415461566 T^{6} + 1729827643004669628 T^{7} -$$$$39\!\cdots\!34$$$$T^{8} +$$$$35\!\cdots\!12$$$$T^{9} +$$$$65\!\cdots\!06$$$$T^{10} -$$$$20\!\cdots\!00$$$$T^{11} +$$$$84\!\cdots\!05$$$$T^{12} +$$$$56\!\cdots\!46$$$$T^{13} -$$$$19\!\cdots\!17$$$$T^{14} +$$$$19\!\cdots\!34$$$$T^{15} +$$$$31\!\cdots\!61$$$$T^{16}$$)($$1 - 126 T - 261977 T^{2} - 15482754 T^{3} + 47716720705 T^{4} + 2402388147600 T^{5} + 15431801415461566 T^{6} - 1729827643004669628 T^{7} -$$$$39\!\cdots\!34$$$$T^{8} -$$$$35\!\cdots\!12$$$$T^{9} +$$$$65\!\cdots\!06$$$$T^{10} +$$$$20\!\cdots\!00$$$$T^{11} +$$$$84\!\cdots\!05$$$$T^{12} -$$$$56\!\cdots\!46$$$$T^{13} -$$$$19\!\cdots\!17$$$$T^{14} -$$$$19\!\cdots\!34$$$$T^{15} +$$$$31\!\cdots\!61$$$$T^{16}$$)
$61$ ($$1 - 622 T + 226981 T^{2}$$)($$1 - 342 T + 226981 T^{2}$$)($$1 + 666 T + 226981 T^{2}$$)($$1 - 30 T + 226981 T^{2}$$)($$1 - 678 T + 226981 T^{2}$$)($$1 - 398 T + 226981 T^{2}$$)($$1 - 382 T + 226981 T^{2}$$)($$1 - 622 T + 226981 T^{2}$$)($$1 + 818 T + 226981 T^{2}$$)($$1 - 606 T + 226981 T^{2}$$)($$1 - 254 T + 226981 T^{2}$$)($$1 + 250 T + 226981 T^{2}$$)($$1 + 428 T + 425886 T^{2} + 97147868 T^{3} + 51520374361 T^{4}$$)($$1 + 604 T + 406398 T^{2} + 137096524 T^{3} + 51520374361 T^{4}$$)($$1 + 100 T + 370190 T^{2} + 22698100 T^{3} + 51520374361 T^{4}$$)($$1 - 329546 T^{2} + 51520374361 T^{4}$$)($$1 - 115274 T^{2} + 51520374361 T^{4}$$)($$1 - 115274 T^{2} + 51520374361 T^{4}$$)($$1 - 329546 T^{2} + 51520374361 T^{4}$$)($$1 - 1695272 T^{2} + 1282321093564 T^{4} - 565249437068217176 T^{6} +$$$$15\!\cdots\!66$$$$T^{8} -$$$$29\!\cdots\!36$$$$T^{10} +$$$$34\!\cdots\!44$$$$T^{12} -$$$$23\!\cdots\!32$$$$T^{14} +$$$$70\!\cdots\!41$$$$T^{16}$$)($$1 - 1695272 T^{2} + 1282321093564 T^{4} - 565249437068217176 T^{6} +$$$$15\!\cdots\!66$$$$T^{8} -$$$$29\!\cdots\!36$$$$T^{10} +$$$$34\!\cdots\!44$$$$T^{12} -$$$$23\!\cdots\!32$$$$T^{14} +$$$$70\!\cdots\!41$$$$T^{16}$$)($$( 1 - 108 T + 294513 T^{2} - 39131028 T^{3} + 66848855253 T^{4} - 5564200430988 T^{5} + 11694146092834141 T^{6} )^{4}$$)($$( 1 - 182 T + 226981 T^{2} )( 1 + 182 T + 226981 T^{2} )$$)($$( 1 - 448916 T^{2} + 51520374361 T^{4} )^{2}$$)($$( 1 - 724246 T^{2} + 234171743178 T^{4} - 37313425049456806 T^{6} +$$$$26\!\cdots\!21$$$$T^{8} )^{2}$$)($$( 1 - 840574 T^{2} + 278874245466 T^{4} - 43306687158123214 T^{6} +$$$$26\!\cdots\!21$$$$T^{8} )^{2}$$)($$1 + 246 T - 166465 T^{2} + 55837326 T^{3} + 51520374361 T^{4}$$)($$1 - 734 T + 311775 T^{2} - 166604054 T^{3} + 51520374361 T^{4}$$)($$1 + 386 T - 77985 T^{2} + 87614666 T^{3} + 51520374361 T^{4}$$)($$1 + 722 T + 294303 T^{2} + 163880282 T^{3} + 51520374361 T^{4}$$)($$1 - 118 T - 213057 T^{2} - 26783758 T^{3} + 51520374361 T^{4}$$)($$1 + 818 T + 442143 T^{2} + 185670458 T^{3} + 51520374361 T^{4}$$)($$1 - 1160 T + 654218 T^{2} - 275407200 T^{3} + 121063061963 T^{4} - 62512201663200 T^{5} + 33705556273704698 T^{6} - 13565209467687603560 T^{7} +$$$$26\!\cdots\!21$$$$T^{8}$$)($$1 + 328 T - 207062 T^{2} - 45695648 T^{3} + 23062207051 T^{4} - 10372043878688 T^{5} - 10667911755937382 T^{6} + 3835679918449598248 T^{7} +$$$$26\!\cdots\!21$$$$T^{8}$$)($$1 - 532 T - 164494 T^{2} + 3428208 T^{3} + 84510915419 T^{4} + 778138080048 T^{5} - 8474792460138334 T^{6} - 6221285721387763012 T^{7} +$$$$26\!\cdots\!21$$$$T^{8}$$)($$1 + 224 T - 410950 T^{2} + 1604736 T^{3} + 149727814859 T^{4} + 364244582016 T^{5} - 21172297843652950 T^{6} + 2619488724794847584 T^{7} +$$$$26\!\cdots\!21$$$$T^{8}$$)($$1 - 70 T - 335143 T^{2} - 129510330 T^{3} + 42145697866 T^{4} + 25171752927730 T^{5} - 316289217432887 T^{6} + 5713509651289083130 T^{7} +$$$$21\!\cdots\!26$$$$T^{8} -$$$$15\!\cdots\!30$$$$T^{9} -$$$$88\!\cdots\!03$$$$T^{10} -$$$$42\!\cdots\!70$$$$T^{11} +$$$$13\!\cdots\!81$$$$T^{12}$$)($$1 - 34 T - 386391 T^{2} + 62173122 T^{3} + 60945926362 T^{4} - 10370796915418 T^{5} - 9342754356649463 T^{6} - 2353973854658493058 T^{7} +$$$$31\!\cdots\!82$$$$T^{8} +$$$$72\!\cdots\!02$$$$T^{9} -$$$$10\!\cdots\!11$$$$T^{10} -$$$$20\!\cdots\!34$$$$T^{11} +$$$$13\!\cdots\!81$$$$T^{12}$$)($$1 - 276 T - 396052 T^{2} + 329860072 T^{3} + 38295918970 T^{4} - 93985799709772 T^{5} + 29956364696681424 T^{6} + 11497331998015191076 T^{7} -$$$$96\!\cdots\!17$$$$T^{8} +$$$$26\!\cdots\!56$$$$T^{9} +$$$$15\!\cdots\!64$$$$T^{10} -$$$$10\!\cdots\!52$$$$T^{11} +$$$$10\!\cdots\!70$$$$T^{12} +$$$$19\!\cdots\!72$$$$T^{13} -$$$$54\!\cdots\!12$$$$T^{14} -$$$$85\!\cdots\!36$$$$T^{15} +$$$$70\!\cdots\!41$$$$T^{16}$$)($$( 1 - 901 T + 226981 T^{2} )( 1 - 719 T + 226981 T^{2} )$$)($$( 1 + 719 T + 226981 T^{2} )( 1 + 901 T + 226981 T^{2} )$$)($$( 1 - 1074 T + 1045506 T^{2} - 709929036 T^{3} + 445184851902 T^{4} - 236922017752806 T^{5} + 121139495988089182 T^{6} - 53776796511549658686 T^{7} +$$$$22\!\cdots\!22$$$$T^{8} -$$$$83\!\cdots\!76$$$$T^{9} +$$$$27\!\cdots\!26$$$$T^{10} -$$$$64\!\cdots\!74$$$$T^{11} +$$$$13\!\cdots\!81$$$$T^{12} )^{2}$$)($$( 1 - 1179 T + 941982 T^{2} - 564310665 T^{3} + 276007099296 T^{4} - 128710086478551 T^{5} + 56963412393227764 T^{6} - 29214744138987984531 T^{7} +$$$$14\!\cdots\!56$$$$T^{8} -$$$$65\!\cdots\!65$$$$T^{9} +$$$$25\!\cdots\!22$$$$T^{10} -$$$$71\!\cdots\!79$$$$T^{11} +$$$$13\!\cdots\!81$$$$T^{12} )^{2}$$)($$( 1 + 2310 T + 3278539 T^{2} + 3464628090 T^{3} + 3013154596153 T^{4} + 2225918245393836 T^{5} + 1433461787125846702 T^{6} +$$$$81\!\cdots\!36$$$$T^{7} +$$$$41\!\cdots\!90$$$$T^{8} +$$$$18\!\cdots\!16$$$$T^{9} +$$$$73\!\cdots\!22$$$$T^{10} +$$$$26\!\cdots\!76$$$$T^{11} +$$$$79\!\cdots\!13$$$$T^{12} +$$$$20\!\cdots\!90$$$$T^{13} +$$$$44\!\cdots\!59$$$$T^{14} +$$$$71\!\cdots\!10$$$$T^{15} +$$$$70\!\cdots\!41$$$$T^{16} )^{2}$$)($$( 1 - 719 T + 226981 T^{2} )( 1 + 901 T + 226981 T^{2} )$$)($$( 1 - 719 T + 226981 T^{2} )( 1 + 901 T + 226981 T^{2} )$$)($$( 1 - 719 T + 226981 T^{2} )( 1 + 901 T + 226981 T^{2} )$$)($$( 1 - 719 T + 226981 T^{2} )( 1 + 901 T + 226981 T^{2} )$$)($$1 + 840 T + 462181 T^{2} + 190664040 T^{3} + 51520374361 T^{4}$$)($$1 + 924 T + 511573 T^{2} + 209730444 T^{3} + 51520374361 T^{4}$$)($$1 + 840 T + 462181 T^{2} + 190664040 T^{3} + 51520374361 T^{4}$$)($$1 + 924 T + 511573 T^{2} + 209730444 T^{3} + 51520374361 T^{4}$$)($$1 + 576 T + 661935 T^{2} + 317573568 T^{3} + 218102177238 T^{4} + 83083840863552 T^{5} + 53853987121212427 T^{6} + 18858453283049896512 T^{7} +$$$$11\!\cdots\!18$$$$T^{8} +$$$$37\!\cdots\!88$$$$T^{9} +$$$$17\!\cdots\!35$$$$T^{10} +$$$$34\!\cdots\!76$$$$T^{11} +$$$$13\!\cdots\!81$$$$T^{12}$$)($$1 - 1608 T + 1469535 T^{2} - 977096376 T^{3} + 518421011142 T^{4} - 242643686941992 T^{5} + 111657895693580779 T^{6} - 55075506705780286152 T^{7} +$$$$26\!\cdots\!62$$$$T^{8} -$$$$11\!\cdots\!16$$$$T^{9} +$$$$39\!\cdots\!35$$$$T^{10} -$$$$96\!\cdots\!08$$$$T^{11} +$$$$13\!\cdots\!81$$$$T^{12}$$)($$1 + 576 T + 661935 T^{2} + 317573568 T^{3} + 218102177238 T^{4} + 83083840863552 T^{5} + 53853987121212427 T^{6} + 18858453283049896512 T^{7} +$$$$11\!\cdots\!18$$$$T^{8} +$$$$37\!\cdots\!88$$$$T^{9} +$$$$17\!\cdots\!35$$$$T^{10} +$$$$34\!\cdots\!76$$$$T^{11} +$$$$13\!\cdots\!81$$$$T^{12}$$)($$1 - 1608 T + 1469535 T^{2} - 977096376 T^{3} + 518421011142 T^{4} - 242643686941992 T^{5} + 111657895693580779 T^{6} - 55075506705780286152 T^{7} +$$$$26\!\cdots\!62$$$$T^{8} -$$$$11\!\cdots\!16$$$$T^{9} +$$$$39\!\cdots\!35$$$$T^{10} -$$$$96\!\cdots\!08$$$$T^{11} +$$$$13\!\cdots\!81$$$$T^{12}$$)($$1 - 1632 T + 1692244 T^{2} - 1312839552 T^{3} + 857879655418 T^{4} - 522143736144480 T^{5} + 304146857916695248 T^{6} -$$$$16\!\cdots\!68$$$$T^{7} +$$$$84\!\cdots\!03$$$$T^{8} -$$$$38\!\cdots\!08$$$$T^{9} +$$$$15\!\cdots\!28$$$$T^{10} -$$$$61\!\cdots\!80$$$$T^{11} +$$$$22\!\cdots\!78$$$$T^{12} -$$$$79\!\cdots\!52$$$$T^{13} +$$$$23\!\cdots\!64$$$$T^{14} -$$$$50\!\cdots\!52$$$$T^{15} +$$$$70\!\cdots\!41$$$$T^{16}$$)($$1 - 1632 T + 1692244 T^{2} - 1312839552 T^{3} + 857879655418 T^{4} - 522143736144480 T^{5} + 304146857916695248 T^{6} -$$$$16\!\cdots\!68$$$$T^{7} +$$$$84\!\cdots\!03$$$$T^{8} -$$$$38\!\cdots\!08$$$$T^{9} +$$$$15\!\cdots\!28$$$$T^{10} -$$$$61\!\cdots\!80$$$$T^{11} +$$$$22\!\cdots\!78$$$$T^{12} -$$$$79\!\cdots\!52$$$$T^{13} +$$$$23\!\cdots\!64$$$$T^{14} -$$$$50\!\cdots\!52$$$$T^{15} +$$$$70\!\cdots\!41$$$$T^{16}$$)
$67$ ($$1 + 744 T + 300763 T^{2}$$)($$1 + 668 T + 300763 T^{2}$$)($$1 - 628 T + 300763 T^{2}$$)($$1 - 764 T + 300763 T^{2}$$)($$1 + 844 T + 300763 T^{2}$$)($$1 + 92 T + 300763 T^{2}$$)($$1 + 12 T + 300763 T^{2}$$)($$1 + 904 T + 300763 T^{2}$$)($$1 - 228 T + 300763 T^{2}$$)($$1 - 520 T + 300763 T^{2}$$)($$1 - 1012 T + 300763 T^{2}$$)($$1 - 124 T + 300763 T^{2}$$)($$1 + 148 T + 440790 T^{2} + 44512924 T^{3} + 90458382169 T^{4}$$)($$1 - 1020 T + 843926 T^{2} - 306778260 T^{3} + 90458382169 T^{4}$$)($$1 + 212 T + 611414 T^{2} + 63761756 T^{3} + 90458382169 T^{4}$$)($$1 + 518218 T^{2} + 90458382169 T^{4}$$)($$1 - 342218 T^{2} + 90458382169 T^{4}$$)($$1 - 342218 T^{2} + 90458382169 T^{4}$$)($$1 + 518218 T^{2} + 90458382169 T^{4}$$)($$1 - 1674176 T^{2} + 1368230434588 T^{4} - 709074585714612800 T^{6} +$$$$25\!\cdots\!78$$$$T^{8} -$$$$64\!\cdots\!00$$$$T^{10} +$$$$11\!\cdots\!68$$$$T^{12} -$$$$12\!\cdots\!84$$$$T^{14} +$$$$66\!\cdots\!21$$$$T^{16}$$)($$1 - 1674176 T^{2} + 1368230434588 T^{4} - 709074585714612800 T^{6} +$$$$25\!\cdots\!78$$$$T^{8} -$$$$64\!\cdots\!00$$$$T^{10} +$$$$11\!\cdots\!68$$$$T^{12} -$$$$12\!\cdots\!84$$$$T^{14} +$$$$66\!\cdots\!21$$$$T^{16}$$)($$( 1 - 742458 T^{2} + 337103376231 T^{4} - 119454889028429612 T^{6} +$$$$30\!\cdots\!39$$$$T^{8} -$$$$60\!\cdots\!38$$$$T^{10} +$$$$74\!\cdots\!09$$$$T^{12} )^{2}$$)($$( 1 - 880 T + 300763 T^{2} )^{2}$$)($$( 1 - 64 T + 300763 T^{2} )^{4}$$)($$( 1 + 124 T + 600438 T^{2} + 37294612 T^{3} + 90458382169 T^{4} )^{4}$$)($$( 1 + 460 T + 539766 T^{2} + 138350980 T^{3} + 90458382169 T^{4} )^{4}$$)($$1 + 730 T + 232137 T^{2} + 219556990 T^{3} + 90458382169 T^{4}$$)($$1 - 555 T + 7262 T^{2} - 166923465 T^{3} + 90458382169 T^{4}$$)($$1 - 906 T + 520073 T^{2} - 272491278 T^{3} + 90458382169 T^{4}$$)($$1 + 166 T - 273207 T^{2} + 49926658 T^{3} + 90458382169 T^{4}$$)($$1 + 370 T - 163863 T^{2} + 111282310 T^{3} + 90458382169 T^{4}$$)($$1 + 523 T - 27234 T^{2} + 157299049 T^{3} + 90458382169 T^{4}$$)($$1 - 233 T + 111977 T^{2} + 153596862 T^{3} - 103458599332 T^{4} + 46196253005706 T^{5} + 10129258260138113 T^{6} - 6339122514336722651 T^{7} +$$$$81\!\cdots\!61$$$$T^{8}$$)($$1 + 875 T - 16919 T^{2} + 158390750 T^{3} + 291645057892 T^{4} + 47638077142250 T^{5} - 1530465367917311 T^{6} + 23805717596758078625 T^{7} +$$$$81\!\cdots\!61$$$$T^{8}$$)($$1 - 111 T - 306211 T^{2} + 31412334 T^{3} + 7298551932 T^{4} + 9447667810842 T^{5} - 27699351662351659 T^{6} - 3019925317988739117 T^{7} +$$$$81\!\cdots\!61$$$$T^{8}$$)($$1 - 687 T - 206863 T^{2} - 53109222 T^{3} + 228403689708 T^{4} - 15973288936386 T^{5} - 18712492310625847 T^{6} - 18690889130254628589 T^{7} +$$$$81\!\cdots\!61$$$$T^{8}$$)($$1 + 628 T - 202942 T^{2} - 436381932 T^{3} - 77667044702 T^{4} + 73528811914784 T^{5} + 76060129771959310 T^{6} + 22114746057926180192 T^{7} -$$$$70\!\cdots\!38$$$$T^{8} -$$$$11\!\cdots\!04$$$$T^{9} -$$$$16\!\cdots\!62$$$$T^{10} +$$$$15\!\cdots\!04$$$$T^{11} +$$$$74\!\cdots\!09$$$$T^{12}$$)($$1 + 100 T - 745250 T^{2} + 9713732 T^{3} + 339960743350 T^{4} - 11532432854600 T^{5} - 116964720185345650 T^{6} - 3468529102648059800 T^{7} +$$$$30\!\cdots\!50$$$$T^{8} +$$$$26\!\cdots\!04$$$$T^{9} -$$$$60\!\cdots\!50$$$$T^{10} +$$$$24\!\cdots\!00$$$$T^{11} +$$$$74\!\cdots\!09$$$$T^{12}$$)($$1 - 150 T - 589801 T^{2} + 228256990 T^{3} + 136976743645 T^{4} - 81958437041680 T^{5} - 1817151226214118 T^{6} + 12320638437671258500 T^{7} -$$$$28\!\cdots\!94$$$$T^{8} +$$$$37\!\cdots\!00$$$$T^{9} -$$$$16\!\cdots\!42$$$$T^{10} -$$$$22\!\cdots\!60$$$$T^{11} +$$$$11\!\cdots\!45$$$$T^{12} +$$$$56\!\cdots\!70$$$$T^{13} -$$$$43\!\cdots\!09$$$$T^{14} -$$$$33\!\cdots\!50$$$$T^{15} +$$$$66\!\cdots\!21$$$$T^{16}$$)($$( 1 - 880 T + 300763 T^{2} )( 1 - 127 T + 300763 T^{2} )$$)($$( 1 - 880 T + 300763 T^{2} )( 1 + 1007 T + 300763 T^{2} )$$)($$( 1 + 990 T + 105192 T^{2} - 111231284 T^{3} + 18515902680 T^{4} - 3900057863994 T^{5} - 25645540430114634 T^{6} - 1172993103348427422 T^{7} +$$$$16\!\cdots\!20$$$$T^{8} -$$$$30\!\cdots\!48$$$$T^{9} +$$$$86\!\cdots\!12$$$$T^{10} +$$$$24\!\cdots\!70$$$$T^{11} +$$$$74\!\cdots\!09$$$$T^{12} )^{2}$$)($$( 1 + 396 T - 208818 T^{2} - 528240452 T^{3} - 109541196954 T^{4} + 71767532435832 T^{5} + 113262131816538126 T^{6} + 21585018357998139816 T^{7} -$$$$99\!\cdots\!26$$$$T^{8} -$$$$14\!\cdots\!44$$$$T^{9} -$$$$17\!\cdots\!98$$$$T^{10} +$$$$97\!\cdots\!28$$$$T^{11} +$$$$74\!\cdots\!09$$$$T^{12} )^{2}$$)($$( 1 - 353 T - 942900 T^{2} + 244510715 T^{3} + 566948576999 T^{4} - 98232161087148 T^{5} - 237551254877958032 T^{6} + 11972800207589977936 T^{7} +$$$$80\!\cdots\!24$$$$T^{8} +$$$$36\!\cdots\!68$$$$T^{9} -$$$$21\!\cdots\!08$$$$T^{10} -$$$$26\!\cdots\!56$$$$T^{11} +$$$$46\!\cdots\!39$$$$T^{12} +$$$$60\!\cdots\!45$$$$T^{13} -$$$$69\!\cdots\!00$$$$T^{14} -$$$$78\!\cdots\!51$$$$T^{15} +$$$$66\!\cdots\!21$$$$T^{16} )^{2}$$)($$( 1 + 880 T + 300763 T^{2} )( 1 + 1007 T + 300763 T^{2} )$$)($$( 1 - 880 T + 300763 T^{2} )( 1 + 127 T + 300763 T^{2} )$$)($$( 1 - 127 T + 300763 T^{2} )( 1 + 880 T + 300763 T^{2} )$$)($$( 1 - 1007 T + 300763 T^{2} )( 1 - 880 T + 300763 T^{2} )$$)($$1 - 1017 T + 645526 T^{2} - 305875971 T^{3} + 90458382169 T^{4}$$)($$1 + 168 T + 310171 T^{2} + 50528184 T^{3} + 90458382169 T^{4}$$)($$1 + 1017 T + 645526 T^{2} + 305875971 T^{3} + 90458382169 T^{4}$$)($$1 - 168 T + 310171 T^{2} - 50528184 T^{3} + 90458382169 T^{4}$$)($$1 + 762 T + 314724 T^{2} + 92336112 T^{3} - 17375547072 T^{4} - 66836812774218 T^{5} - 67405421948783618 T^{6} - 20102040320412128334 T^{7} -$$$$15\!\cdots\!68$$$$T^{8} +$$$$25\!\cdots\!64$$$$T^{9} +$$$$25\!\cdots\!64$$$$T^{10} +$$$$18\!\cdots\!66$$$$T^{11} +$$$$74\!\cdots\!09$$$$T^{12}$$)($$1 + 339 T + 694476 T^{2} + 222441291 T^{3} + 253889193024 T^{4} + 89435563038039 T^{5} + 82784680413866566 T^{6} + 26898908246009723757 T^{7} +$$$$22\!\cdots\!56$$$$T^{8} +$$$$60\!\cdots\!77$$$$T^{9} +$$$$56\!\cdots\!36$$$$T^{10} +$$$$83\!\cdots\!77$$$$T^{11} +$$$$74\!\cdots\!09$$$$T^{12}$$)($$1 - 762 T + 314724 T^{2} - 92336112 T^{3} - 17375547072 T^{4} + 66836812774218 T^{5} - 67405421948783618 T^{6} + 20102040320412128334 T^{7} -$$$$15\!\cdots\!68$$$$T^{8} -$$$$25\!\cdots\!64$$$$T^{9} +$$$$25\!\cdots\!64$$$$T^{10} -$$$$18\!\cdots\!66$$$$T^{11} +$$$$74\!\cdots\!09$$$$T^{12}$$)($$1 - 339 T + 694476 T^{2} - 222441291 T^{3} + 253889193024 T^{4} - 89435563038039 T^{5} + 82784680413866566 T^{6} - 26898908246009723757 T^{7} +$$$$22\!\cdots\!56$$$$T^{8} -$$$$60\!\cdots\!77$$$$T^{9} +$$$$56\!\cdots\!36$$$$T^{10} -$$$$83\!\cdots\!77$$$$T^{11} +$$$$74\!\cdots\!09$$$$T^{12}$$)($$1 - 582 T + 972343 T^{2} - 500191170 T^{3} + 498368259829 T^{4} - 299375679726432 T^{5} + 204799717768260850 T^{6} -$$$$12\!\cdots\!76$$$$T^{7} +$$$$66\!\cdots\!18$$$$T^{8} -$$$$37\!\cdots\!88$$$$T^{9} +$$$$18\!\cdots\!50$$$$T^{10} -$$$$81\!\cdots\!04$$$$T^{11} +$$$$40\!\cdots\!69$$$$T^{12} -$$$$12\!\cdots\!10$$$$T^{13} +$$$$71\!\cdots\!87$$$$T^{14} -$$$$12\!\cdots\!94$$$$T^{15} +$$$$66\!\cdots\!21$$$$T^{16}$$)($$1 + 582 T + 972343 T^{2} + 500191170 T^{3} + 498368259829 T^{4} + 299375679726432 T^{5} + 204799717768260850 T^{6} +$$$$12\!\cdots\!76$$$$T^{7} +$$$$66\!\cdots\!18$$$$T^{8} +$$$$37\!\cdots\!88$$$$T^{9} +$$$$18\!\cdots\!50$$$$T^{10} +$$$$81\!\cdots\!04$$$$T^{11} +$$$$40\!\cdots\!69$$$$T^{12} +$$$$12\!\cdots\!10$$$$T^{13} +$$$$71\!\cdots\!87$$$$T^{14} +$$$$12\!\cdots\!94$$$$T^{15} +$$$$66\!\cdots\!21$$$$T^{16}$$)
$71$ ($$1 - 54 T + 357911 T^{2}$$)($$1 - 272 T + 357911 T^{2}$$)($$1 + 296 T + 357911 T^{2}$$)($$1 - 236 T + 357911 T^{2}$$)($$1 - 8 T + 357911 T^{2}$$)($$1 - 720 T + 357911 T^{2}$$)($$1 - 552 T + 357911 T^{2}$$)($$1 - 678 T + 357911 T^{2}$$)($$1 + 864 T + 357911 T^{2}$$)($$1 - 286 T + 357911 T^{2}$$)($$1 + 840 T + 357911 T^{2}$$)($$1 + 36 T + 357911 T^{2}$$)($$1 + 954 T + 930526 T^{2} + 341447094 T^{3} + 128100283921 T^{4}$$)($$1 - 1710 T + 1336222 T^{2} - 612027810 T^{3} + 128100283921 T^{4}$$)($$1 - 534 T + 746334 T^{2} - 191124474 T^{3} + 128100283921 T^{4}$$)($$1 - 683848 T^{2} + 128100283921 T^{4}$$)($$1 - 53122 T^{2} + 128100283921 T^{4}$$)($$1 - 53122 T^{2} + 128100283921 T^{4}$$)($$1 - 683848 T^{2} + 128100283921 T^{4}$$)($$1 - 1345636 T^{2} + 1085567531464 T^{4} - 599054164045845100 T^{6} +$$$$24\!\cdots\!66$$$$T^{8} -$$$$76\!\cdots\!00$$$$T^{10} +$$$$17\!\cdots\!24$$$$T^{12} -$$$$28\!\cdots\!96$$$$T^{14} +$$$$26\!\cdots\!81$$$$T^{16}$$)($$1 - 1345636 T^{2} + 1085567531464 T^{4} - 599054164045845100 T^{6} +$$$$24\!\cdots\!66$$$$T^{8} -$$$$76\!\cdots\!00$$$$T^{10} +$$$$17\!\cdots\!24$$$$T^{12} -$$$$28\!\cdots\!96$$$$T^{14} +$$$$26\!\cdots\!81$$$$T^{16}$$)($$( 1 + 1517904 T^{2} + 1045389452967 T^{4} + 450915097427172560 T^{6} +$$$$13\!\cdots\!07$$$$T^{8} +$$$$24\!\cdots\!64$$$$T^{10} +$$$$21\!\cdots\!61$$$$T^{12} )^{2}$$)($$( 1 - 357911 T^{2} )^{2}$$)($$( 1 - 502574 T^{2} + 128100283921 T^{4} )^{2}$$)($$( 1 - 823928 T^{2} + 346330727790 T^{4} - 105545410730461688 T^{6} +$$$$16\!\cdots\!41$$$$T^{8} )^{2}$$)($$( 1 - 268304 T^{2} - 63605599554 T^{4} - 34369818577139984 T^{6} +$$$$16\!\cdots\!41$$$$T^{8} )^{2}$$)($$( 1 + 338 T + 357911 T^{2} )^{2}$$)($$( 1 - 642 T + 357911 T^{2} )^{2}$$)($$( 1 - 34 T + 357911 T^{2} )^{2}$$)($$( 1 + 1086 T + 357911 T^{2} )^{2}$$)($$( 1 - 342 T + 357911 T^{2} )^{2}$$)($$( 1 - 342 T + 357911 T^{2} )^{2}$$)($$( 1 + 616 T + 81466 T^{2} + 220473176 T^{3} + 128100283921 T^{4} )^{2}$$)($$( 1 - 1404 T + 1077298 T^{2} - 502507044 T^{3} + 128100283921 T^{4} )^{2}$$)($$( 1 + 1600 T + 1262410 T^{2} + 572657600 T^{3} + 128100283921 T^{4} )^{2}$$)($$( 1 + 472 T + 637018 T^{2} + 168933992 T^{3} + 128100283921 T^{4} )^{2}$$)($$( 1 + 318 T + 742929 T^{2} + 256167372 T^{3} + 265902461319 T^{4} + 40735890286878 T^{5} + 45848500718449031 T^{6} )^{2}$$)($$( 1 + 34 T + 294609 T^{2} - 182711756 T^{3} + 105443801799 T^{4} + 4355409653314 T^{5} + 45848500718449031 T^{6} )^{2}$$)($$( 1 - 848 T + 1353124 T^{2} - 864361552 T^{3} + 714336102950 T^{4} - 309364507437872 T^{5} + 173335568580319204 T^{6} - 38879528609244778288 T^{7} +$$$$16\!\cdots\!41$$$$T^{8} )^{2}$$)($$( 1 - 357911 T^{2} )^{2}$$)($$( 1 - 357911 T^{2} )^{2}$$)($$( 1 - 1325730 T^{2} + 947795292591 T^{4} - 415349195473127932 T^{6} +$$$$12\!\cdots\!11$$$$T^{8} -$$$$21\!\cdots\!30$$$$T^{10} +$$$$21\!\cdots\!61$$$$T^{12} )^{2}$$)($$( 1 - 1922318 T^{2} + 1602890240687 T^{4} - 746575415906526884 T^{6} +$$$$20\!\cdots\!27$$$$T^{8} -$$$$31\!\cdots\!38$$$$T^{10} +$$$$21\!\cdots\!61$$$$T^{12} )^{2}$$)($$( 1 - 2185120 T^{2} + 2150648987644 T^{4} - 1293185431312772704 T^{6} +$$$$54\!\cdots\!14$$$$T^{8} -$$$$16\!\cdots\!84$$$$T^{10} +$$$$35\!\cdots\!04$$$$T^{12} -$$$$45\!\cdots\!20$$$$T^{14} +$$$$26\!\cdots\!81$$$$T^{16} )^{2}$$)($$( 1 + 357911 T^{2} )^{2}$$)($$( 1 + 357911 T^{2} )^{2}$$)($$( 1 + 357911 T^{2} )^{2}$$)($$( 1 + 357911 T^{2} )^{2}$$)($$1 - 420034 T^{2} + 128100283921 T^{4}$$)($$1 - 13054 T^{2} + 128100283921 T^{4}$$)($$1 - 420034 T^{2} + 128100283921 T^{4}$$)($$1 - 13054 T^{2} + 128100283921 T^{4}$$)($$1 - 873138 T^{2} + 495267535599 T^{4} - 197265760944442972 T^{6} +$$$$63\!\cdots\!79$$$$T^{8} -$$$$14\!\cdots\!58$$$$T^{10} +$$$$21\!\cdots\!61$$$$T^{12}$$)($$1 - 1498782 T^{2} + 1064032253871 T^{4} - 468534043472663428 T^{6} +$$$$13\!\cdots\!91$$$$T^{8} -$$$$24\!\cdots\!62$$$$T^{10} +$$$$21\!\cdots\!61$$$$T^{12}$$)($$1 - 873138 T^{2} + 495267535599 T^{4} - 197265760944442972 T^{6} +$$$$63\!\cdots\!79$$$$T^{8} -$$$$14\!\cdots\!58$$$$T^{10} +$$$$21\!\cdots\!61$$$$T^{12}$$)($$1 - 1498782 T^{2} + 1064032253871 T^{4} - 468534043472663428 T^{6} +$$$$13\!\cdots\!91$$$$T^{8} -$$$$24\!\cdots\!62$$$$T^{10} +$$$$21\!\cdots\!61$$$$T^{12}$$)($$1 - 2252032 T^{2} + 2398193152444 T^{4} - 1561338319192564480 T^{6} +$$$$67\!\cdots\!70$$$$T^{8} -$$$$20\!\cdots\!80$$$$T^{10} +$$$$39\!\cdots\!04$$$$T^{12} -$$$$47\!\cdots\!52$$$$T^{14} +$$$$26\!\cdots\!81$$$$T^{16}$$)($$1 - 2252032 T^{2} + 2398193152444 T^{4} - 1561338319192564480 T^{6} +$$$$67\!\cdots\!70$$$$T^{8} -$$$$20\!\cdots\!80$$$$T^{10} +$$$$39\!\cdots\!04$$$$T^{12} -$$$$47\!\cdots\!52$$$$T^{14} +$$$$26\!\cdots\!81$$$$T^{16}$$)
$73$ ($$1 - 742 T + 389017 T^{2}$$)($$1 + 86 T + 389017 T^{2}$$)($$1 + 518 T + 389017 T^{2}$$)($$1 - 418 T + 389017 T^{2}$$)($$1 + 422 T + 389017 T^{2}$$)($$1 + 502 T + 389017 T^{2}$$)($$1 + 614 T + 389017 T^{2}$$)($$1 + 642 T + 389017 T^{2}$$)($$1 - 106 T + 389017 T^{2}$$)($$1 + 530 T + 389017 T^{2}$$)($$1 - 890 T + 389017 T^{2}$$)($$1 - 1010 T + 389017 T^{2}$$)($$1 - 1072 T + 1063278 T^{2} - 417026224 T^{3} + 151334226289 T^{4}$$)($$1 + 1312 T + 1201998 T^{2} + 510390304 T^{3} + 151334226289 T^{4}$$)($$1 - 1128 T + 1062430 T^{2} - 438811176 T^{3} + 151334226289 T^{4}$$)($$1 - 340634 T^{2} + 151334226289 T^{4}$$)($$1 - 762482 T^{2} + 151334226289 T^{4}$$)($$1 - 762482 T^{2} + 151334226289 T^{4}$$)($$1 - 340634 T^{2} + 151334226289 T^{4}$$)($$1 - 1739480 T^{2} + 1687675343356 T^{4} - 1071753557470214888 T^{6} +$$$$49\!\cdots\!98$$$$T^{8} -$$$$16\!\cdots\!32$$$$T^{10} +$$$$38\!\cdots\!76$$$$T^{12} -$$$$60\!\cdots\!20$$$$T^{14} +$$$$52\!\cdots\!41$$$$T^{16}$$)($$1 - 1739480 T^{2} + 1687675343356 T^{4} - 1071753557470214888 T^{6} +$$$$49\!\cdots\!98$$$$T^{8} -$$$$16\!\cdots\!32$$$$T^{10} +$$$$38\!\cdots\!76$$$$T^{12} -$$$$60\!\cdots\!20$$$$T^{14} +$$$$52\!\cdots\!41$$$$T^{16}$$)($$( 1 - 414 T + 280767 T^{2} - 44414452 T^{3} + 109223136039 T^{4} - 62652369683646 T^{5} + 58871586708267913 T^{6} )^{4}$$)($$( 1 - 1190 T + 389017 T^{2} )( 1 + 1190 T + 389017 T^{2} )$$)($$( 1 - 770258 T^{2} + 151334226289 T^{4} )^{2}$$)($$( 1 - 456388 T^{2} + 201396314982 T^{4} - 69067124867584132 T^{6} +$$$$22\!\cdots\!21$$$$T^{8} )^{2}$$)($$( 1 - 1071172 T^{2} + 576487951974 T^{4} - 162104985842440708 T^{6} +$$$$22\!\cdots\!21$$$$T^{8} )^{2}$$)($$1 - 542 T - 95253 T^{2} - 210847214 T^{3} + 151334226289 T^{4}$$)($$1 + 973 T + 557712 T^{2} + 378513541 T^{3} + 151334226289 T^{4}$$)($$1 - 838 T + 313227 T^{2} - 325996246 T^{3} + 151334226289 T^{4}$$)($$1 + 218 T - 341493 T^{2} + 84805706 T^{3} + 151334226289 T^{4}$$)($$1 + 362 T - 257973 T^{2} + 140824154 T^{3} + 151334226289 T^{4}$$)($$1 - 43 T - 387168 T^{2} - 16727731 T^{3} + 151334226289 T^{4}$$)($$1 - 817 T + 223669 T^{2} + 273052838 T^{3} - 214022602202 T^{4} + 106222195880246 T^{5} + 33848775059834341 T^{6} - 48098086340654884921 T^{7} +$$$$22\!\cdots\!21$$$$T^{8}$$)($$1 - 1361 T + 667765 T^{2} - 553276442 T^{3} + 531254332390 T^{4} - 215233941637514 T^{5} + 101055699617874085 T^{6} - 80124229509952629593 T^{7} +$$$$22\!\cdots\!21$$$$T^{8}$$)($$1 + 1215 T + 464669 T^{2} + 283729230 T^{3} + 297634694022 T^{4} + 110375493866910 T^{5} + 70320323595483341 T^{6} + 71528977850545514295 T^{7} +$$$$22\!\cdots\!21$$$$T^{8}$$)($$1 - 921 T + 270053 T^{2} + 184058166 T^{3} - 147013032042 T^{4} + 71601755562822 T^{5} + 40868261812023317 T^{6} - 54220731358314747873 T^{7} +$$$$22\!\cdots\!21$$$$T^{8}$$)($$1 + 988 T - 186552 T^{2} - 102237300 T^{3} + 281568890272 T^{4} - 16988127696596 T^{5} - 164639785652996186 T^{6} - 6608670472146686132 T^{7} +$$$$42\!\cdots\!08$$$$T^{8} -$$$$60\!\cdots\!00$$$$T^{9} -$$$$42\!\cdots\!92$$$$T^{10} +$$$$88\!\cdots\!16$$$$T^{11} +$$$$34\!\cdots\!69$$$$T^{12}$$)($$1 - 108 T - 177048 T^{2} - 671641700 T^{3} - 2631873744 T^{4} + 60963298021476 T^{5} + 208159411130844486 T^{6} + 23715759306420529092 T^{7} -$$$$39\!\cdots\!16$$$$T^{8} -$$$$39\!\cdots\!00$$$$T^{9} -$$$$40\!\cdots\!08$$$$T^{10} -$$$$96\!\cdots\!56$$$$T^{11} +$$$$34\!\cdots\!69$$$$T^{12}$$)($$1 - 218 T - 1477029 T^{2} + 165200906 T^{3} + 1386262512569 T^{4} - 90729706822500 T^{5} - 845121849447366146 T^{6} + 12096789917766107320 T^{7} +$$$$38\!\cdots\!02$$$$T^{8} +$$$$47\!\cdots\!40$$$$T^{9} -$$$$12\!\cdots\!94$$$$T^{10} -$$$$53\!\cdots\!00$$$$T^{11} +$$$$31\!\cdots\!49$$$$T^{12} +$$$$14\!\cdots\!42$$$$T^{13} -$$$$51\!\cdots\!01$$$$T^{14} -$$$$29\!\cdots\!14$$$$T^{15} +$$$$52\!\cdots\!41$$$$T^{16}$$)($$( 1 - 1190 T + 389017 T^{2} )( 1 - 271 T + 389017 T^{2} )$$)($$( 1 - 1190 T + 389017 T^{2} )( 1 - 919 T + 389017 T^{2} )$$)($$( 1 + 1542 T + 2061258 T^{2} + 1956289140 T^{3} + 1700342003046 T^{4} + 1208959068686442 T^{5} + 819269771023534534 T^{6} +$$$$47\!\cdots\!14$$$$T^{7} +$$$$25\!\cdots\!94$$$$T^{8} +$$$$11\!\cdots\!20$$$$T^{9} +$$$$47\!\cdots\!18$$$$T^{10} +$$$$13\!\cdots\!94$$$$T^{11} +$$$$34\!\cdots\!69$$$$T^{12} )^{2}$$)($$( 1 + 1452 T + 1911888 T^{2} + 1755642240 T^{3} + 1485047372688 T^{4} + 1012976615051412 T^{5} + 691104732915920110 T^{6} +$$$$39\!\cdots\!04$$$$T^{7} +$$$$22\!\cdots\!32$$$$T^{8} +$$$$10\!\cdots\!20$$$$T^{9} +$$$$43\!\cdots\!48$$$$T^{10} +$$$$12\!\cdots\!64$$$$T^{11} +$$$$34\!\cdots\!69$$$$T^{12} )^{2}$$)($$( 1 - 1647 T + 2578552 T^{2} - 2757652803 T^{3} + 2801731240765 T^{4} - 2310432135763680 T^{5} + 1841570048813171362 T^{6} -$$$$12\!\cdots\!62$$$$T^{7} +$$$$84\!\cdots\!28$$$$T^{8} -$$$$49\!\cdots\!54$$$$T^{9} +$$$$27\!\cdots\!18$$$$T^{10} -$$$$13\!\cdots\!40$$$$T^{11} +$$$$64\!\cdots\!65$$$$T^{12} -$$$$24\!\cdots\!71$$$$T^{13} +$$$$89\!\cdots\!88$$$$T^{14} -$$$$22\!\cdots\!31$$$$T^{15} +$$$$52\!\cdots\!41$$$$T^{16} )^{2}$$)($$( 1 - 919 T + 389017 T^{2} )( 1 + 1190 T + 389017 T^{2} )$$)($$( 1 - 271 T + 389017 T^{2} )( 1 + 1190 T + 389017 T^{2} )$$)($$( 1 - 271 T + 389017 T^{2} )( 1 + 1190 T + 389017 T^{2} )$$)($$( 1 - 919 T + 389017 T^{2} )( 1 + 1190 T + 389017 T^{2} )$$)($$1 - 111 T + 393124 T^{2} - 43180887 T^{3} + 151334226289 T^{4}$$)($$1 + 36 T + 389449 T^{2} + 14004612 T^{3} + 151334226289 T^{4}$$)($$1 - 111 T + 393124 T^{2} - 43180887 T^{3} + 151334226289 T^{4}$$)($$1 + 36 T + 389449 T^{2} + 14004612 T^{3} + 151334226289 T^{4}$$)($$1 - 1746 T + 2157114 T^{2} - 1992084732 T^{3} + 1540655831814 T^{4} - 1074226788652590 T^{5} + 693610630022514022 T^{6} -$$$$41\!\cdots\!30$$$$T^{7} +$$$$23\!\cdots\!46$$$$T^{8} -$$$$11\!\cdots\!16$$$$T^{9} +$$$$49\!\cdots\!94$$$$T^{10} -$$$$15\!\cdots\!22$$$$T^{11} +$$$$34\!\cdots\!69$$$$T^{12}$$)($$1 + 273 T + 678702 T^{2} + 178503507 T^{3} + 165514568532 T^{4} - 96315689833851 T^{5} + 47172911872090336 T^{6} - 37468440712095214467 T^{7} +$$$$25\!\cdots\!48$$$$T^{8} +$$$$10\!\cdots\!91$$$$T^{9} +$$$$15\!\cdots\!42$$$$T^{10} +$$$$24\!\cdots\!61$$$$T^{11} +$$$$34\!\cdots\!69$$$$T^{12}$$)($$1 - 1746 T + 2157114 T^{2} - 1992084732 T^{3} + 1540655831814 T^{4} - 1074226788652590 T^{5} + 693610630022514022 T^{6} -$$$$41\!\cdots\!30$$$$T^{7} +$$$$23\!\cdots\!46$$$$T^{8} -$$$$11\!\cdots\!16$$$$T^{9} +$$$$49\!\cdots\!94$$$$T^{10} -$$$$15\!\cdots\!22$$$$T^{11} +$$$$34\!\cdots\!69$$$$T^{12}$$)($$1 + 273 T + 678702 T^{2} + 178503507 T^{3} + 165514568532 T^{4} - 96315689833851 T^{5} + 47172911872090336 T^{6} - 37468440712095214467 T^{7} +$$$$25\!\cdots\!48$$$$T^{8} +$$$$10\!\cdots\!91$$$$T^{9} +$$$$15\!\cdots\!42$$$$T^{10} +$$$$24\!\cdots\!61$$$$T^{11} +$$$$34\!\cdots\!69$$$$T^{12}$$)($$1 + 1386 T + 1687579 T^{2} + 1451484342 T^{3} + 1137606875353 T^{4} + 882939067889220 T^{5} + 647907317348797438 T^{6} +$$$$47\!\cdots\!80$$$$T^{7} +$$$$30\!\cdots\!66$$$$T^{8} +$$$$18\!\cdots\!60$$$$T^{9} +$$$$98\!\cdots\!82$$$$T^{10} +$$$$51\!\cdots\!60$$$$T^{11} +$$$$26\!\cdots\!13$$$$T^{12} +$$$$12\!\cdots\!94$$$$T^{13} +$$$$58\!\cdots\!51$$$$T^{14} +$$$$18\!\cdots\!78$$$$T^{15} +$$$$52\!\cdots\!41$$$$T^{16}$$)($$1 + 1386 T + 1687579 T^{2} + 1451484342 T^{3} + 1137606875353 T^{4} + 882939067889220 T^{5} + 647907317348797438 T^{6} +$$$$47\!\cdots\!80$$$$T^{7} +$$$$30\!\cdots\!66$$$$T^{8} +$$$$18\!\cdots\!60$$$$T^{9} +$$$$98\!\cdots\!82$$$$T^{10} +$$$$51\!\cdots\!60$$$$T^{11} +$$$$26\!\cdots\!13$$$$T^{12} +$$$$12\!\cdots\!94$$$$T^{13} +$$$$58\!\cdots\!51$$$$T^{14} +$$$$18\!\cdots\!78$$$$T^{15} +$$$$52\!\cdots\!41$$$$T^{16}$$)
$79$ ($$1 - 92 T + 493039 T^{2}$$)($$1 + 1360 T + 493039 T^{2}$$)($$1 - 1184 T + 493039 T^{2}$$)($$1 + 552 T + 493039 T^{2}$$)($$1 + 384 T + 493039 T^{2}$$)($$1 - 1024 T + 493039 T^{2}$$)($$1 + 880 T + 493039 T^{2}$$)($$1 + 740 T + 493039 T^{2}$$)($$1 + 736 T + 493039 T^{2}$$)($$1 - 44 T + 493039 T^{2}$$)($$1 + 80 T + 493039 T^{2}$$)($$1 + 56 T + 493039 T^{2}$$)($$1 - 572 T + 901662 T^{2} - 282018308 T^{3} + 243087455521 T^{4}$$)($$1 - 556 T + 751134 T^{2} - 274129684 T^{3} + 243087455521 T^{4}$$)($$1 + 468 T - 92834 T^{2} + 230742252 T^{3} + 243087455521 T^{4}$$)($$1 + 72322 T^{2} + 243087455521 T^{4}$$)($$1 + 905230 T^{2} + 243087455521 T^{4}$$)($$1 + 905230 T^{2} + 243087455521 T^{4}$$)($$1 + 72322 T^{2} + 243087455521 T^{4}$$)($$1 - 3231392 T^{2} + 4863579897916 T^{4} - 4425141721050671456 T^{6} +$$$$26\!\cdots\!14$$$$T^{8} -$$$$10\!\cdots\!76$$$$T^{10} +$$$$28\!\cdots\!56$$$$T^{12} -$$$$46\!\cdots\!12$$$$T^{14} +$$$$34\!\cdots\!81$$$$T^{16}$$)($$1 - 3231392 T^{2} + 4863579897916 T^{4} - 4425141721050671456 T^{6} +$$$$26\!\cdots\!14$$$$T^{8} -$$$$10\!\cdots\!76$$$$T^{10} +$$$$28\!\cdots\!56$$$$T^{12} -$$$$46\!\cdots\!12$$$$T^{14} +$$$$34\!\cdots\!81$$$$T^{16}$$)($$( 1 - 1224426 T^{2} + 1012954623663 T^{4} - 545208850365051404 T^{6} +$$$$24\!\cdots\!23$$$$T^{8} -$$$$72\!\cdots\!66$$$$T^{10} +$$$$14\!\cdots\!61$$$$T^{12} )^{2}$$)($$( 1 + 884 T + 493039 T^{2} )^{2}$$)($$( 1 - 442 T + 493039 T^{2} )^{4}$$)($$( 1 + 706 T + 1010814 T^{2} + 348085534 T^{3} + 243087455521 T^{4} )^{4}$$)($$( 1 - 794 T + 506622 T^{2} - 391472966 T^{3} + 243087455521 T^{4} )^{4}$$)($$1 + 305 T - 400014 T^{2} + 150376895 T^{3} + 243087455521 T^{4}$$)($$1 + 785 T + 123186 T^{2} + 387035615 T^{3} + 243087455521 T^{4}$$)($$1 - 1325 T + 1262586 T^{2} - 653276675 T^{3} + 243087455521 T^{4}$$)($$1 + 583 T - 153150 T^{2} + 287441737 T^{3} + 243087455521 T^{4}$$)($$1 - 467 T - 274950 T^{2} - 230249213 T^{3} + 243087455521 T^{4}$$)($$1 + 1171 T + 878202 T^{2} + 577348669 T^{3} + 243087455521 T^{4}$$)($$1 + 802 T - 212795 T^{2} - 104323358 T^{3} + 172522175524 T^{4} - 51435484104962 T^{5} - 51727795097591195 T^{6} + 96120979978059891838 T^{7} +$$$$59\!\cdots\!41$$$$T^{8}$$)($$1 + 182 T - 959183 T^{2} + 1133678 T^{3} + 725254302892 T^{4} + 558947467442 T^{5} - 233165354848999343 T^{6} + 21812990468836534058 T^{7} +$$$$59\!\cdots\!41$$$$T^{8}$$)($$1 - 1460 T + 798095 T^{2} - 507243420 T^{3} + 484186197104 T^{4} - 250090788553380 T^{5} + 194006882814032495 T^{6} -$$$$17\!\cdots\!40$$$$T^{7} +$$$$59\!\cdots\!41$$$$T^{8}$$)($$1 + 526 T - 757051 T^{2} + 25063374 T^{3} + 689091996644 T^{4} + 12357220853586 T^{5} - 184029601289628571 T^{6} + 63041939486857235794 T^{7} +$$$$59\!\cdots\!41$$$$T^{8}$$)($$1 - 861 T - 479895 T^{2} + 258646666 T^{3} + 325257480351 T^{4} + 27564282842211 T^{5} - 246706047980056146 T^{6} + 13590266448240869229 T^{7} +$$$$79\!\cdots\!71$$$$T^{8} +$$$$30\!\cdots\!54$$$$T^{9} -$$$$28\!\cdots\!95$$$$T^{10} -$$$$25\!\cdots\!39$$$$T^{11} +$$$$14\!\cdots\!61$$$$T^{12}$$)($$1 + 2463 T + 2638029 T^{2} + 2601019670 T^{3} + 2867577805215 T^{4} + 2288144397114963 T^{5} + 1505212561410160614 T^{6} +$$$$11\!\cdots\!57$$$$T^{7} +$$$$69\!\cdots\!15$$$$T^{8} +$$$$31\!\cdots\!30$$$$T^{9} +$$$$15\!\cdots\!89$$$$T^{10} +$$$$71\!\cdots\!37$$$$T^{11} +$$$$14\!\cdots\!61$$$$T^{12}$$)($$1 - 1762 T + 388752 T^{2} + 173779432 T^{3} + 908172954515 T^{4} - 560460082109316 T^{5} - 385609639812529772 T^{6} + 61787568841205030162 T^{7} +$$$$26\!\cdots\!40$$$$T^{8} +$$$$30\!\cdots\!18$$$$T^{9} -$$$$93\!\cdots\!12$$$$T^{10} -$$$$67\!\cdots\!04$$$$T^{11} +$$$$53\!\cdots\!15$$$$T^{12} +$$$$50\!\cdots\!68$$$$T^{13} +$$$$55\!\cdots\!72$$$$T^{14} -$$$$12\!\cdots\!98$$$$T^{15} +$$$$34\!\cdots\!81$$$$T^{16}$$)($$( 1 - 1387 T + 493039 T^{2} )( 1 + 884 T + 493039 T^{2} )$$)($$( 1 + 503 T + 493039 T^{2} )( 1 + 884 T + 493039 T^{2} )$$)($$( 1 - 219 T - 1229151 T^{2} + 54253534 T^{3} + 964782490887 T^{4} + 9317496689613 T^{5} - 548230401702137298 T^{6} + 4593889250350103907 T^{7} +$$$$23\!\cdots\!27$$$$T^{8} +$$$$65\!\cdots\!46$$$$T^{9} -$$$$72\!\cdots\!91$$$$T^{10} -$$$$63\!\cdots\!81$$$$T^{11} +$$$$14\!\cdots\!61$$$$T^{12} )^{2}$$)($$( 1 + 837 T - 518715 T^{2} - 592038158 T^{3} + 210634653159 T^{4} + 180227265033825 T^{5} - 13471835399034906 T^{6} + 88859070525012044175 T^{7} +$$$$51\!\cdots\!39$$$$T^{8} -$$$$70\!\cdots\!02$$$$T^{9} -$$$$30\!\cdots\!15$$$$T^{10} +$$$$24\!\cdots\!63$$$$T^{11} +$$$$14\!\cdots\!61$$$$T^{12} )^{2}$$)($$( 1 - 1328 T + 649554 T^{2} - 531584272 T^{3} + 343179705869 T^{4} - 48459420350472 T^{5} + 156782033512738618 T^{6} -$$$$12\!\cdots\!48$$$$T^{7} +$$$$23\!\cdots\!08$$$$T^{8} -$$$$61\!\cdots\!72$$$$T^{9} +$$$$38\!\cdots\!78$$$$T^{10} -$$$$58\!\cdots\!68$$$$T^{11} +$$$$20\!\cdots\!29$$$$T^{12} -$$$$15\!\cdots\!28$$$$T^{13} +$$$$93\!\cdots\!94$$$$T^{14} -$$$$94\!\cdots\!12$$$$T^{15} +$$$$34\!\cdots\!81$$$$T^{16} )^{2}$$)($$( 1 - 503 T + 493039 T^{2} )( 1 + 884 T + 493039 T^{2} )$$)($$( 1 - 1387 T + 493039 T^{2} )( 1 - 884 T + 493039 T^{2} )$$)($$( 1 + 884 T + 493039 T^{2} )( 1 + 1387 T + 493039 T^{2} )$$)($$( 1 - 884 T + 493039 T^{2} )( 1 + 503 T + 493039 T^{2} )$$)($$1 + 297 T + 522442 T^{2} + 146432583 T^{3} + 243087455521 T^{4}$$)($$1 - 33 T + 493402 T^{2} - 16270287 T^{3} + 243087455521 T^{4}$$)($$1 - 297 T + 522442 T^{2} - 146432583 T^{3} + 243087455521 T^{4}$$)($$1 + 33 T + 493402 T^{2} + 16270287 T^{3} + 243087455521 T^{4}$$)($$1 + 579 T + 1246065 T^{2} + 656770122 T^{3} + 793496865207 T^{4} + 247639040816451 T^{5} + 406593103346888686 T^{6} +$$$$12\!\cdots\!89$$$$T^{7} +$$$$19\!\cdots\!47$$$$T^{8} +$$$$78\!\cdots\!18$$$$T^{9} +$$$$73\!\cdots\!65$$$$T^{10} +$$$$16\!\cdots\!21$$$$T^{11} +$$$$14\!\cdots\!61$$$$T^{12}$$)($$1 - 3429 T + 6659565 T^{2} - 9396207522 T^{3} + 10525727684127 T^{4} - 9638179034552721 T^{5} + 7377619464657794086 T^{6} -$$$$47\!\cdots\!19$$$$T^{7} +$$$$25\!\cdots\!67$$$$T^{8} -$$$$11\!\cdots\!18$$$$T^{9} +$$$$39\!\cdots\!65$$$$T^{10} -$$$$99\!\cdots\!71$$$$T^{11} +$$$$14\!\cdots\!61$$$$T^{12}$$)($$1 - 579 T + 1246065 T^{2} - 656770122 T^{3} + 793496865207 T^{4} - 247639040816451 T^{5} + 406593103346888686 T^{6} -$$$$12\!\cdots\!89$$$$T^{7} +$$$$19\!\cdots\!47$$$$T^{8} -$$$$78\!\cdots\!18$$$$T^{9} +$$$$73\!\cdots\!65$$$$T^{10} -$$$$16\!\cdots\!21$$$$T^{11} +$$$$14\!\cdots\!61$$$$T^{12}$$)($$1 + 3429 T + 6659565 T^{2} + 9396207522 T^{3} + 10525727684127 T^{4} + 9638179034552721 T^{5} + 7377619464657794086 T^{6} +$$$$47\!\cdots\!19$$$$T^{7} +$$$$25\!\cdots\!67$$$$T^{8} +$$$$11\!\cdots\!18$$$$T^{9} +$$$$39\!\cdots\!65$$$$T^{10} +$$$$99\!\cdots\!71$$$$T^{11} +$$$$14\!\cdots\!61$$$$T^{12}$$)($$1 + 1260 T + 1559230 T^{2} + 1297837800 T^{3} + 1017785917801 T^{4} + 836691949154880 T^{5} + 704345665677062110 T^{6} +$$$$62\!\cdots\!80$$$$T^{7} +$$$$44\!\cdots\!60$$$$T^{8} +$$$$30\!\cdots\!20$$$$T^{9} +$$$$17\!\cdots\!10$$$$T^{10} +$$$$10\!\cdots\!20$$$$T^{11} +$$$$60\!\cdots\!41$$$$T^{12} +$$$$37\!\cdots\!00$$$$T^{13} +$$$$22\!\cdots\!30$$$$T^{14} +$$$$89\!\cdots\!40$$$$T^{15} +$$$$34\!\cdots\!81$$$$T^{16}$$)($$1 - 1260 T + 1559230 T^{2} - 1297837800 T^{3} + 1017785917801 T^{4} - 836691949154880 T^{5} + 704345665677062110 T^{6} -$$$$62\!\cdots\!80$$$$T^{7} +$$$$44\!\cdots\!60$$$$T^{8} -$$$$30\!\cdots\!20$$$$T^{9} +$$$$17\!\cdots\!10$$$$T^{10} -$$$$10\!\cdots\!20$$$$T^{11} +$$$$60\!\cdots\!41$$$$T^{12} -$$$$37\!\cdots\!00$$$$T^{13} +$$$$22\!\cdots\!30$$$$T^{14} -$$$$89\!\cdots\!40$$$$T^{15} +$$$$34\!\cdots\!81$$$$T^{16}$$)
$83$ ($$1 - 228 T + 571787 T^{2}$$)($$1 + 188 T + 571787 T^{2}$$)($$1 + 220 T + 571787 T^{2}$$)($$1 + 1036 T + 571787 T^{2}$$)($$1 - 548 T + 571787 T^{2}$$)($$1 - 204 T + 571787 T^{2}$$)($$1 - 108 T + 571787 T^{2}$$)($$1 + 468 T + 571787 T^{2}$$)($$1 - 588 T + 571787 T^{2}$$)($$1 + 1012 T + 571787 T^{2}$$)($$1 - 108 T + 571787 T^{2}$$)($$1 + 228 T + 571787 T^{2}$$)($$1 + 1944 T + 1957030 T^{2} + 1111553928 T^{3} + 326940373369 T^{4}$$)($$1 - 264 T + 979750 T^{2} - 150951768 T^{3} + 326940373369 T^{4}$$)($$1 - 824 T + 536870 T^{2} - 471152488 T^{3} + 326940373369 T^{4}$$)($$( 1 - 864 T + 571787 T^{2} )^{2}$$)($$( 1 + 252 T + 571787 T^{2} )^{2}$$)($$( 1 - 252 T + 571787 T^{2} )^{2}$$)($$( 1 + 864 T + 571787 T^{2} )^{2}$$)($$( 1 - 840 T + 2002748 T^{2} - 1107399240 T^{3} + 1578867394614 T^{4} - 633196489241880 T^{5} + 654779178884018012 T^{6} -$$$$15\!\cdots\!20$$$$T^{7} +$$$$10\!\cdots\!61$$$$T^{8} )^{2}$$)($$( 1 + 840 T + 2002748 T^{2} + 1107399240 T^{3} + 1578867394614 T^{4} + 633196489241880 T^{5} + 654779178884018012 T^{6} +$$$$15\!\cdots\!20$$$$T^{7} +$$$$10\!\cdots\!61$$$$T^{8} )^{2}$$)($$( 1 + 528810 T^{2} + 429704724651 T^{4} + 394687164189819332 T^{6} +$$$$14\!\cdots\!19$$$$T^{8} +$$$$56\!\cdots\!10$$$$T^{10} +$$$$34\!\cdots\!09$$$$T^{12} )^{2}$$)($$( 1 + 571787 T^{2} )^{2}$$)($$( 1 + 898672 T^{2} + 326940373369 T^{4} )^{2}$$)($$( 1 + 784286 T^{2} + 665936055234 T^{4} + 256414757668079534 T^{6} +$$$$10\!\cdots\!61$$$$T^{8} )^{2}$$)($$( 1 + 342278 T^{2} + 606808888434 T^{4} + 111904497115994582 T^{6} +$$$$10\!\cdots\!61$$$$T^{8} )^{2}$$)($$( 1 + 1123 T + 571787 T^{2} )^{2}$$)($$( 1 - 822 T + 571787 T^{2} )^{2}$$)($$( 1 + 1163 T + 571787 T^{2} )^{2}$$)($$( 1 - 597 T + 571787 T^{2} )^{2}$$)($$( 1 + 477 T + 571787 T^{2} )^{2}$$)($$( 1 - 810 T + 571787 T^{2} )^{2}$$)($$( 1 - 283 T + 596860 T^{2} - 161815721 T^{3} + 326940373369 T^{4} )^{2}$$)($$( 1 - 399 T + 946240 T^{2} - 228143013 T^{3} + 326940373369 T^{4} )^{2}$$)($$( 1 - 1409 T + 1147696 T^{2} - 805647883 T^{3} + 326940373369 T^{4} )^{2}$$)($$( 1 - 221 T + 945628 T^{2} - 126364927 T^{3} + 326940373369 T^{4} )^{2}$$)($$( 1 + 519 T + 1583745 T^{2} + 545598870 T^{3} + 905564802315 T^{4} + 169682053778511 T^{5} + 186940255267540403 T^{6} )^{2}$$)($$( 1 - 115 T + 1228989 T^{2} - 243220678 T^{3} + 702719933343 T^{4} - 37598142937435 T^{5} + 186940255267540403 T^{6} )^{2}$$)($$( 1 + 3450 T + 6524297 T^{2} + 8058006346 T^{3} + 7159809209520 T^{4} + 4607463274560302 T^{5} + 2133056097150246593 T^{6} +$$$$64\!\cdots\!50$$$$T^{7} +$$$$10\!\cdots\!61$$$$T^{8} )^{2}$$)($$( 1 + 571787 T^{2} )^{2}$$)($$( 1 + 571787 T^{2} )^{2}$$)($$( 1 + 2213631 T^{2} + 2402637322995 T^{4} + 1655758504150116154 T^{6} +$$$$78\!\cdots\!55$$$$T^{8} +$$$$23\!\cdots\!91$$$$T^{10} +$$$$34\!\cdots\!09$$$$T^{12} )^{2}$$)($$( 1 + 2862735 T^{2} + 3680795850915 T^{4} + 2710866692924348218 T^{6} +$$$$12\!\cdots\!35$$$$T^{8} +$$$$30\!\cdots\!35$$$$T^{10} +$$$$34\!\cdots\!09$$$$T^{12} )^{2}$$)($$( 1 + 1722229 T^{2} + 1384053320998 T^{4} + 728536700729120515 T^{6} +$$$$37\!\cdots\!94$$$$T^{8} +$$$$23\!\cdots\!35$$$$T^{10} +$$$$14\!\cdots\!78$$$$T^{12} +$$$$60\!\cdots\!61$$$$T^{14} +$$$$11\!\cdots\!21$$$$T^{16} )^{2}$$)($$( 1 + 571787 T^{2} )^{2}$$)($$( 1 + 571787 T^{2} )^{2}$$)($$( 1 + 571787 T^{2} )^{2}$$)($$( 1 + 571787 T^{2} )^{2}$$)($$( 1 + 66 T + 571787 T^{2} )^{2}$$)($$( 1 - 693 T + 571787 T^{2} )^{2}$$)($$( 1 - 66 T + 571787 T^{2} )^{2}$$)($$( 1 + 693 T + 571787 T^{2} )^{2}$$)($$( 1 - 729 T + 165381 T^{2} + 134151390 T^{3} + 94562705847 T^{4} - 238339532186001 T^{5} + 186940255267540403 T^{6} )^{2}$$)($$( 1 + 732 T + 1825350 T^{2} + 831239382 T^{3} + 1043711400450 T^{4} + 239320353306108 T^{5} + 186940255267540403 T^{6} )^{2}$$)($$( 1 + 729 T + 165381 T^{2} - 134151390 T^{3} + 94562705847 T^{4} + 238339532186001 T^{5} + 186940255267540403 T^{6} )^{2}$$)($$( 1 - 732 T + 1825350 T^{2} - 831239382 T^{3} + 1043711400450 T^{4} - 239320353306108 T^{5} + 186940255267540403 T^{6} )^{2}$$)($$( 1 - 378 T + 1752449 T^{2} - 693277218 T^{3} + 1361749930512 T^{4} - 396406900648566 T^{5} + 572946330370130681 T^{6} - 70663416491130272334 T^{7} +$$$$10\!\cdots\!61$$$$T^{8} )^{2}$$)($$( 1 + 378 T + 1752449 T^{2} + 693277218 T^{3} + 1361749930512 T^{4} + 396406900648566 T^{5} + 572946330370130681 T^{6} + 70663416491130272334 T^{7} +$$$$10\!\cdots\!61$$$$T^{8} )^{2}$$)
$89$ ($$1 + 116 T + 704969 T^{2}$$)($$1 + 366 T + 704969 T^{2}$$)($$1 + 774 T + 704969 T^{2}$$)($$1 - 30 T + 704969 T^{2}$$)($$1 - 1194 T + 704969 T^{2}$$)($$1 - 354 T + 704969 T^{2}$$)($$1 + 86 T + 704969 T^{2}$$)($$1 - 200 T + 704969 T^{2}$$)($$1 - 146 T + 704969 T^{2}$$)($$1 - 768 T + 704969 T^{2}$$)($$1 + 1638 T + 704969 T^{2}$$)($$1 - 390 T + 704969 T^{2}$$)($$1 - 366 T + 1156090 T^{2} - 258018654 T^{3} + 496981290961 T^{4}$$)($$1 - 70 T - 186262 T^{2} - 49347830 T^{3} + 496981290961 T^{4}$$)($$1 + 2118 T + 2285746 T^{2} + 1493124342 T^{3} + 496981290961 T^{4}$$)($$1 + 256436 T^{2} + 496981290961 T^{4}$$)($$1 - 1363810 T^{2} + 496981290961 T^{4}$$)($$1 - 1363810 T^{2} + 496981290961 T^{4}$$)($$1 + 256436 T^{2} + 496981290961 T^{4}$$)($$1 - 3966028 T^{2} + 7744575214072 T^{4} - 9543109070842050436 T^{6} +$$$$80\!\cdots\!46$$$$T^{8} -$$$$47\!\cdots\!96$$$$T^{10} +$$$$19\!\cdots\!12$$$$T^{12} -$$$$48\!\cdots\!68$$$$T^{14} +$$$$61\!\cdots\!41$$$$T^{16}$$)($$1 - 3966028 T^{2} + 7744575214072 T^{4} - 9543109070842050436 T^{6} +$$$$80\!\cdots\!46$$$$T^{8} -$$$$47\!\cdots\!96$$$$T^{10} +$$$$19\!\cdots\!12$$$$T^{12} -$$$$48\!\cdots\!68$$$$T^{14} +$$$$61\!\cdots\!41$$$$T^{16}$$)($$( 1 - 3607020 T^{2} + 5707274044311 T^{4} - 5162372304755975768 T^{6} +$$$$28\!\cdots\!71$$$$T^{8} -$$$$89\!\cdots\!20$$$$T^{10} +$$$$12\!\cdots\!81$$$$T^{12} )^{2}$$)($$( 1 + 704969 T^{2} )^{2}$$)($$( 1 + 1174930 T^{2} + 496981290961 T^{4} )^{2}$$)($$( 1 + 2427080 T^{2} + 2463477537390 T^{4} + 1206213351665623880 T^{6} +$$$$24\!\cdots\!21$$$$T^{8} )^{2}$$)($$( 1 + 2762096 T^{2} + 2900682801726 T^{4} + 1372710035838214256 T^{6} +$$$$24\!\cdots\!21$$$$T^{8} )^{2}$$)($$1 - 426 T - 523493 T^{2} - 300316794 T^{3} + 496981290961 T^{4}$$)($$1 + 424 T - 525193 T^{2} + 298906856 T^{3} + 496981290961 T^{4}$$)($$1 - 54 T - 702053 T^{2} - 38068326 T^{3} + 496981290961 T^{4}$$)($$1 - 1038 T + 372475 T^{2} - 731757822 T^{3} + 496981290961 T^{4}$$)($$1 + 906 T + 115867 T^{2} + 638701914 T^{3} + 496981290961 T^{4}$$)($$1 - 600 T - 344969 T^{2} - 422981400 T^{3} + 496981290961 T^{4}$$)($$1 - 1858 T + 1240290 T^{2} - 1489997088 T^{3} + 1961736697999 T^{4} - 1050401757130272 T^{5} + 616400925366018690 T^{6} -$$$$65\!\cdots\!22$$$$T^{7} +$$$$24\!\cdots\!21$$$$T^{8}$$)($$1 + 822 T - 841102 T^{2} + 87829056 T^{3} + 1327322205039 T^{4} + 61916761779264 T^{5} - 418011957789879022 T^{6} +$$$$28\!\cdots\!98$$$$T^{7} +$$$$24\!\cdots\!21$$$$T^{8}$$)($$1 - 1974 T + 1597682 T^{2} - 1754996544 T^{3} + 2041356338031 T^{4} - 1237218158627136 T^{5} + 794018062905152402 T^{6} -$$$$69\!\cdots\!66$$$$T^{7} +$$$$24\!\cdots\!21$$$$T^{8}$$)($$1 + 774 T - 367486 T^{2} - 343173024 T^{3} + 14930800239 T^{4} - 241926343556256 T^{5} - 182633666690094046 T^{6} +$$$$27\!\cdots\!66$$$$T^{7} +$$$$24\!\cdots\!21$$$$T^{8}$$)($$1 + 1766 T + 725929 T^{2} - 728159446 T^{3} - 335534377858 T^{4} + 846551335831238 T^{5} + 1249625385561159997 T^{6} +$$$$59\!\cdots\!22$$$$T^{7} -$$$$16\!\cdots\!38$$$$T^{8} -$$$$25\!\cdots\!14$$$$T^{9} +$$$$17\!\cdots\!09$$$$T^{10} +$$$$30\!\cdots\!34$$$$T^{11} +$$$$12\!\cdots\!81$$$$T^{12}$$)($$1 - 110 T - 375783 T^{2} - 427037698 T^{3} - 101851887698 T^{4} + 80035470446002 T^{5} + 625569659939630333 T^{6} + 56422525564847583938 T^{7} -$$$$50\!\cdots\!78$$$$T^{8} -$$$$14\!\cdots\!82$$$$T^{9} -$$$$92\!\cdots\!43$$$$T^{10} -$$$$19\!\cdots\!90$$$$T^{11} +$$$$12\!\cdots\!81$$$$T^{12}$$)($$1 - 344 T - 1551904 T^{2} - 306445744 T^{3} + 1428409866274 T^{4} + 586424143686840 T^{5} - 551041755378735104 T^{6} -$$$$26\!\cdots\!88$$$$T^{7} +$$$$16\!\cdots\!87$$$$T^{8} -$$$$18\!\cdots\!72$$$$T^{9} -$$$$27\!\cdots\!44$$$$T^{10} +$$$$20\!\cdots\!60$$$$T^{11} +$$$$35\!\cdots\!54$$$$T^{12} -$$$$53\!\cdots\!56$$$$T^{13} -$$$$19\!\cdots\!24$$$$T^{14} -$$$$29\!\cdots\!16$$$$T^{15} +$$$$61\!\cdots\!41$$$$T^{16}$$)($$1 - 704969 T^{2} + 496981290961 T^{4}$$)($$1 - 704969 T^{2} + 496981290961 T^{4}$$)($$1 - 337656 T^{2} - 733502310000 T^{4} + 455056539179522540 T^{6} +$$$$17\!\cdots\!32$$$$T^{8} -$$$$11\!\cdots\!32$$$$T^{10} -$$$$22\!\cdots\!66$$$$T^{12} -$$$$56\!\cdots\!52$$$$T^{14} +$$$$42\!\cdots\!72$$$$T^{16} +$$$$55\!\cdots\!40$$$$T^{18} -$$$$44\!\cdots\!00$$$$T^{20} -$$$$10\!\cdots\!56$$$$T^{22} +$$$$15\!\cdots\!61$$$$T^{24}$$)($$1 - 1635561 T^{2} + 1787180462010 T^{4} - 817237014874197619 T^{6} -$$$$17\!\cdots\!36$$$$T^{8} +$$$$75\!\cdots\!95$$$$T^{10} -$$$$70\!\cdots\!84$$$$T^{12} +$$$$37\!\cdots\!95$$$$T^{14} -$$$$42\!\cdots\!56$$$$T^{16} -$$$$10\!\cdots\!39$$$$T^{18} +$$$$10\!\cdots\!10$$$$T^{20} -$$$$49\!\cdots\!61$$$$T^{22} +$$$$15\!\cdots\!61$$$$T^{24}$$)($$1 - 2323450 T^{2} + 1452170603619 T^{4} - 832430879304658430 T^{6} +$$$$23\!\cdots\!61$$$$T^{8} -$$$$21\!\cdots\!20$$$$T^{10} +$$$$62\!\cdots\!02$$$$T^{12} -$$$$86\!\cdots\!80$$$$T^{14} +$$$$11\!\cdots\!78$$$$T^{16} -$$$$42\!\cdots\!80$$$$T^{18} +$$$$15\!\cdots\!42$$$$T^{20} -$$$$26\!\cdots\!20$$$$T^{22} +$$$$14\!\cdots\!01$$$$T^{24} -$$$$25\!\cdots\!30$$$$T^{26} +$$$$21\!\cdots\!59$$$$T^{28} -$$$$17\!\cdots\!50$$$$T^{30} +$$$$37\!\cdots\!81$$$$T^{32}$$)($$1 + 704969 T^{2} + 496981290961 T^{4}$$)($$1 + 704969 T^{2} + 496981290961 T^{4}$$)($$1 + 704969 T^{2} + 496981290961 T^{4}$$)($$1 + 704969 T^{2} + 496981290961 T^{4}$$)($$1 - 1356 T + 1317881 T^{2} - 955937964 T^{3} + 496981290961 T^{4}$$)($$1 + 1770 T + 1749269 T^{2} + 1247795130 T^{3} + 496981290961 T^{4}$$)($$1 - 1356 T + 1317881 T^{2} - 955937964 T^{3} + 496981290961 T^{4}$$)($$1 + 1770 T + 1749269 T^{2} + 1247795130 T^{3} + 496981290961 T^{4}$$)($$1 + 1302 T + 2299047 T^{2} + 2257640658 T^{3} + 2481443573118 T^{4} + 2138331267459246 T^{5} + 1998212168182128851 T^{6} +$$$$15\!\cdots\!74$$$$T^{7} +$$$$12\!\cdots\!98$$$$T^{8} +$$$$79\!\cdots\!22$$$$T^{9} +$$$$56\!\cdots\!87$$$$T^{10} +$$$$22\!\cdots\!98$$$$T^{11} +$$$$12\!\cdots\!81$$$$T^{12}$$)($$1 - 768 T + 817575 T^{2} - 476902656 T^{3} + 278684938194 T^{4} - 420839159491248 T^{5} + 30155140198494983 T^{6} -$$$$29\!\cdots\!12$$$$T^{7} +$$$$13\!\cdots\!34$$$$T^{8} -$$$$16\!\cdots\!04$$$$T^{9} +$$$$20\!\cdots\!75$$$$T^{10} -$$$$13\!\cdots\!32$$$$T^{11} +$$$$12\!\cdots\!81$$$$T^{12}$$)($$1 + 1302 T + 2299047 T^{2} + 2257640658 T^{3} + 2481443573118 T^{4} + 2138331267459246 T^{5} + 1998212168182128851 T^{6} +$$$$15\!\cdots\!74$$$$T^{7} +$$$$12\!\cdots\!98$$$$T^{8} +$$$$79\!\cdots\!22$$$$T^{9} +$$$$56\!\cdots\!87$$$$T^{10} +$$$$22\!\cdots\!98$$$$T^{11} +$$$$12\!\cdots\!81$$$$T^{12}$$)($$1 - 768 T + 817575 T^{2} - 476902656 T^{3} + 278684938194 T^{4} - 420839159491248 T^{5} + 30155140198494983 T^{6} -$$$$29\!\cdots\!12$$$$T^{7} +$$$$13\!\cdots\!34$$$$T^{8} -$$$$16\!\cdots\!04$$$$T^{9} +$$$$20\!\cdots\!75$$$$T^{10} -$$$$13\!\cdots\!32$$$$T^{11} +$$$$12\!\cdots\!81$$$$T^{12}$$)($$1 - 948 T + 1920128 T^{2} - 1536290880 T^{3} + 1382857733458 T^{4} - 1287172074565764 T^{5} + 1469697897037337696 T^{6} -$$$$12\!\cdots\!12$$$$T^{7} +$$$$15\!\cdots\!59$$$$T^{8} -$$$$90\!\cdots\!28$$$$T^{9} +$$$$73\!\cdots\!56$$$$T^{10} -$$$$45\!\cdots\!76$$$$T^{11} +$$$$34\!\cdots\!18$$$$T^{12} -$$$$26\!\cdots\!20$$$$T^{13} +$$$$23\!\cdots\!68$$$$T^{14} -$$$$82\!\cdots\!72$$$$T^{15} +$$$$61\!\cdots\!41$$$$T^{16}$$)($$1 - 948 T + 1920128 T^{2} - 1536290880 T^{3} + 1382857733458 T^{4} - 1287172074565764 T^{5} + 1469697897037337696 T^{6} -$$$$12\!\cdots\!12$$$$T^{7} +$$$$15\!\cdots\!59$$$$T^{8} -$$$$90\!\cdots\!28$$$$T^{9} +$$$$73\!\cdots\!56$$$$T^{10} -$$$$45\!\cdots\!76$$$$T^{11} +$$$$34\!\cdots\!18$$$$T^{12} -$$$$26\!\cdots\!20$$$$T^{13} +$$$$23\!\cdots\!68$$$$T^{14} -$$$$82\!\cdots\!72$$$$T^{15} +$$$$61\!\cdots\!41$$$$T^{16}$$)
$97$ ($$1 + 554 T + 912673 T^{2}$$)($$1 - 1554 T + 912673 T^{2}$$)($$1 + 1086 T + 912673 T^{2}$$)($$1 + 1190 T + 912673 T^{2}$$)($$1 + 1502 T + 912673 T^{2}$$)($$1 + 286 T + 912673 T^{2}$$)($$1 - 1426 T + 912673 T^{2}$$)($$1 + 1266 T + 912673 T^{2}$$)($$1 + 1214 T + 912673 T^{2}$$)($$1 - 222 T + 912673 T^{2}$$)($$1 - 1010 T + 912673 T^{2}$$)($$1 + 70 T + 912673 T^{2}$$)($$1 - 808 T + 903054 T^{2} - 737439784 T^{3} + 832972004929 T^{4}$$)($$1 + 136 T + 1812270 T^{2} + 124123528 T^{3} + 832972004929 T^{4}$$)($$1 - 400 T + 214046 T^{2} - 365069200 T^{3} + 832972004929 T^{4}$$)($$1 - 1171946 T^{2} + 832972004929 T^{4}$$)($$1 + 251326 T^{2} + 832972004929 T^{4}$$)($$1 + 251326 T^{2} + 832972004929 T^{4}$$)($$1 - 1171946 T^{2} + 832972004929 T^{4}$$)($$1 - 3256088 T^{2} + 6152309237692 T^{4} - 8283569126499185960 T^{6} +$$$$84\!\cdots\!90$$$$T^{8} -$$$$68\!\cdots\!40$$$$T^{10} +$$$$42\!\cdots\!72$$$$T^{12} -$$$$18\!\cdots\!32$$$$T^{14} +$$$$48\!\cdots\!81$$$$T^{16}$$)($$1 - 3256088 T^{2} + 6152309237692 T^{4} - 8283569126499185960 T^{6} +$$$$84\!\cdots\!90$$$$T^{8} -$$$$68\!\cdots\!40$$$$T^{10} +$$$$42\!\cdots\!72$$$$T^{12} -$$$$18\!\cdots\!32$$$$T^{14} +$$$$48\!\cdots\!81$$$$T^{16}$$)($$( 1 + 1566 T + 3501615 T^{2} + 2975935204 T^{3} + 3195829466895 T^{4} + 1304434159718814 T^{5} + 760231058654565217 T^{6} )^{4}$$)($$( 1 - 1330 T + 912673 T^{2} )( 1 + 1330 T + 912673 T^{2} )$$)($$( 1 - 631850 T^{2} + 832972004929 T^{4} )^{2}$$)($$( 1 - 2312332 T^{2} + 2649505779606 T^{4} - 1926107822101484428 T^{6} +$$$$69\!\cdots\!41$$$$T^{8} )^{2}$$)($$( 1 - 469036 T^{2} + 1636646532822 T^{4} - 390693857303878444 T^{6} +$$$$69\!\cdots\!41$$$$T^{8} )^{2}$$)($$( 1 + 369 T + 912673 T^{2} )^{2}$$)($$( 1 + 734 T + 912673 T^{2} )^{2}$$)($$( 1 - 7 T + 912673 T^{2} )^{2}$$)($$( 1 + 169 T + 912673 T^{2} )^{2}$$)($$( 1 - 503 T + 912673 T^{2} )^{2}$$)($$( 1 - 386 T + 912673 T^{2} )^{2}$$)($$( 1 - 1729 T + 2190800 T^{2} - 1578011617 T^{3} + 832972004929 T^{4} )^{2}$$)($$( 1 - 841 T + 1945608 T^{2} - 767557993 T^{3} + 832972004929 T^{4} )^{2}$$)($$( 1 - 561 T + 1863448 T^{2} - 512009553 T^{3} + 832972004929 T^{4} )^{2}$$)($$( 1 - 1953 T + 2366992 T^{2} - 1782450369 T^{3} + 832972004929 T^{4} )^{2}$$)($$( 1 - 19 T + 2168419 T^{2} + 10094878 T^{3} + 1979057473987 T^{4} - 15826468093651 T^{5} + 760231058654565217 T^{6} )^{2}$$)($$( 1 + 2941 T + 5549515 T^{2} + 6235037870 T^{3} + 5064892503595 T^{4} + 2449770666496189 T^{5} + 760231058654565217 T^{6} )^{2}$$)($$( 1 + 622 T + 849993 T^{2} - 199355338 T^{3} - 35005181276 T^{4} - 181946234398474 T^{5} + 708020373385615497 T^{6} +$$$$47\!\cdots\!74$$$$T^{7} +$$$$69\!\cdots\!41$$$$T^{8} )^{2}$$)($$( 1 - 1330 T + 912673 T^{2} )( 1 + 1330 T + 912673 T^{2} )$$)($$( 1 - 1330 T + 912673 T^{2} )( 1 + 1330 T + 912673 T^{2} )$$)($$( 1 - 2338539 T^{2} + 3560304823971 T^{4} - 3525808839119151986 T^{6} +$$$$29\!\cdots\!59$$$$T^{8} -$$$$16\!\cdots\!99$$$$T^{10} +$$$$57\!\cdots\!89$$$$T^{12} )^{2}$$)($$( 1 - 3316347 T^{2} + 4922505333747 T^{4} - 4971002050523297522 T^{6} +$$$$41\!\cdots\!63$$$$T^{8} -$$$$23\!\cdots\!27$$$$T^{10} +$$$$57\!\cdots\!89$$$$T^{12} )^{2}$$)($$( 1 - 6468653 T^{2} + 18847452442330 T^{4} - 32473627146088049315 T^{6} +$$$$36\!\cdots\!06$$$$T^{8} -$$$$27\!\cdots\!35$$$$T^{10} +$$$$13\!\cdots\!30$$$$T^{12} -$$$$37\!\cdots\!17$$$$T^{14} +$$$$48\!\cdots\!81$$$$T^{16} )^{2}$$)($$( 1 - 1330 T + 912673 T^{2} )^{2}$$)($$( 1 - 1330 T + 912673 T^{2} )^{2}$$)($$( 1 - 1330 T + 912673 T^{2} )^{2}$$)($$( 1 - 1330 T + 912673 T^{2} )^{2}$$)($$1 + 1247086 T^{2} + 832972004929 T^{4}$$)($$1 - 1148471 T^{2} + 832972004929 T^{4}$$)($$1 + 1247086 T^{2} + 832972004929 T^{4}$$)($$1 - 1148471 T^{2} + 832972004929 T^{4}$$)($$1 - 5009403 T^{2} + 10851909744963 T^{4} - 12981283892973921170 T^{6} +$$$$90\!\cdots\!27$$$$T^{8} -$$$$34\!\cdots\!23$$$$T^{10} +$$$$57\!\cdots\!89$$$$T^{12}$$)($$1 - 3460224 T^{2} + 6276631115856 T^{4} - 7018725828751345586 T^{6} +$$$$52\!\cdots\!24$$$$T^{8} -$$$$24\!\cdots\!84$$$$T^{10} +$$$$57\!\cdots\!89$$$$T^{12}$$)($$1 - 5009403 T^{2} + 10851909744963 T^{4} - 12981283892973921170 T^{6} +$$$$90\!\cdots\!27$$$$T^{8} -$$$$34\!\cdots\!23$$$$T^{10} +$$$$57\!\cdots\!89$$$$T^{12}$$)($$1 - 3460224 T^{2} + 6276631115856 T^{4} - 7018725828751345586 T^{6} +$$$$52\!\cdots\!24$$$$T^{8} -$$$$24\!\cdots\!84$$$$T^{10} +$$$$57\!\cdots\!89$$$$T^{12}$$)($$1 - 1235474 T^{2} + 278183310481 T^{4} - 811487068629701330 T^{6} +$$$$16\!\cdots\!52$$$$T^{8} -$$$$67\!\cdots\!70$$$$T^{10} +$$$$19\!\cdots\!21$$$$T^{12} -$$$$71\!\cdots\!86$$$$T^{14} +$$$$48\!\cdots\!81$$$$T^{16}$$)($$1 - 1235474 T^{2} + 278183310481 T^{4} - 811487068629701330 T^{6} +$$$$16\!\cdots\!52$$$$T^{8} -$$$$67\!\cdots\!70$$$$T^{10} +$$$$19\!\cdots\!21$$$$T^{12} -$$$$71\!\cdots\!86$$$$T^{14} +$$$$48\!\cdots\!81$$$$T^{16}$$)
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