Properties

 Label 392.3 Level 392 Weight 3 Dimension 4981 Nonzero newspaces 12 Newform subspaces 52 Sturm bound 28224 Trace bound 3

Defining parameters

 Level: $$N$$ = $$392\( 392 = 2^{3} \cdot 7^{2}$$ \) Weight: $$k$$ = $$3$$ Nonzero newspaces: $$12$$ Newform subspaces: $$52$$ Sturm bound: $$28224$$ Trace bound: $$3$$

Dimensions

The following table gives the dimensions of various subspaces of $$M_{3}(\Gamma_1(392))$$.

Total New Old
Modular forms 9768 5175 4593
Cusp forms 9048 4981 4067
Eisenstein series 720 194 526

Trace form

 $$4981q - 32q^{2} - 32q^{3} - 26q^{4} - 26q^{6} - 36q^{7} - 62q^{8} - 113q^{9} + O(q^{10})$$ $$4981q - 32q^{2} - 32q^{3} - 26q^{4} - 26q^{6} - 36q^{7} - 62q^{8} - 113q^{9} - 30q^{10} - 40q^{11} - 38q^{12} - 36q^{14} - 6q^{15} - 14q^{16} - 10q^{17} + 88q^{18} + 104q^{19} + 222q^{20} + 84q^{21} + 218q^{22} + 114q^{23} + 202q^{24} + 37q^{25} + 30q^{26} + 10q^{27} - 84q^{28} - 318q^{30} - 342q^{31} - 362q^{32} - 496q^{33} - 538q^{34} - 288q^{35} - 614q^{36} - 216q^{37} - 358q^{38} - 138q^{39} - 330q^{40} - 106q^{41} - 252q^{42} + 296q^{43} - 502q^{44} + 552q^{45} - 570q^{46} + 762q^{47} - 902q^{48} + 132q^{49} - 566q^{50} + 806q^{51} - 354q^{52} + 360q^{53} - 206q^{54} - 42q^{55} + 6q^{56} - 472q^{57} + 174q^{58} - 736q^{59} + 918q^{60} - 504q^{61} + 726q^{62} - 660q^{63} + 766q^{64} - 564q^{65} + 1778q^{66} - 736q^{67} + 1658q^{68} + 948q^{70} + 474q^{71} + 2230q^{72} + 110q^{73} + 1482q^{74} + 772q^{75} + 842q^{76} + 360q^{77} + 786q^{78} + 786q^{79} + 654q^{80} + 1609q^{81} + 206q^{82} + 1316q^{83} - 144q^{84} + 672q^{85} - 706q^{86} + 846q^{87} - 862q^{88} + 350q^{89} - 2058q^{90} - 234q^{91} - 1794q^{92} + 216q^{93} - 2838q^{94} - 2238q^{95} - 3950q^{96} + 1190q^{97} - 1572q^{98} - 2902q^{99} + O(q^{100})$$

Decomposition of $$S_{3}^{\mathrm{new}}(\Gamma_1(392))$$

We only show spaces with odd 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
392.3.c $$\chi_{392}(97, \cdot)$$ 392.3.c.a 4 1
392.3.c.b 8
392.3.c.c 8
392.3.d $$\chi_{392}(295, \cdot)$$ None 0 1
392.3.g $$\chi_{392}(99, \cdot)$$ 392.3.g.a 1 1
392.3.g.b 2
392.3.g.c 2
392.3.g.d 2
392.3.g.e 2
392.3.g.f 2
392.3.g.g 2
392.3.g.h 4
392.3.g.i 6
392.3.g.j 6
392.3.g.k 6
392.3.g.l 6
392.3.g.m 8
392.3.g.n 8
392.3.g.o 20
392.3.h $$\chi_{392}(293, \cdot)$$ 392.3.h.a 28 1
392.3.h.b 48
392.3.j $$\chi_{392}(117, \cdot)$$ 392.3.j.a 4 2
392.3.j.b 4
392.3.j.c 4
392.3.j.d 16
392.3.j.e 28
392.3.j.f 96
392.3.k $$\chi_{392}(67, \cdot)$$ 392.3.k.a 2 2
392.3.k.b 2
392.3.k.c 2
392.3.k.d 2
392.3.k.e 4
392.3.k.f 4
392.3.k.g 4
392.3.k.h 4
392.3.k.i 8
392.3.k.j 8
392.3.k.k 12
392.3.k.l 12
392.3.k.m 16
392.3.k.n 16
392.3.k.o 16
392.3.k.p 40
392.3.n $$\chi_{392}(79, \cdot)$$ None 0 2
392.3.o $$\chi_{392}(129, \cdot)$$ 392.3.o.a 8 2
392.3.o.b 8
392.3.o.c 8
392.3.o.d 16
392.3.r $$\chi_{392}(13, \cdot)$$ 392.3.r.a 660 6
392.3.s $$\chi_{392}(43, \cdot)$$ 392.3.s.a 660 6
392.3.v $$\chi_{392}(15, \cdot)$$ None 0 6
392.3.w $$\chi_{392}(41, \cdot)$$ 392.3.w.a 168 6
392.3.ba $$\chi_{392}(17, \cdot)$$ 392.3.ba.a 336 12
392.3.bb $$\chi_{392}(23, \cdot)$$ None 0 12
392.3.be $$\chi_{392}(11, \cdot)$$ 392.3.be.a 1320 12
392.3.bf $$\chi_{392}(5, \cdot)$$ 392.3.bf.a 1320 12

Decomposition of $$S_{3}^{\mathrm{old}}(\Gamma_1(392))$$ into lower level spaces

$$S_{3}^{\mathrm{old}}(\Gamma_1(392)) \cong$$ $$S_{3}^{\mathrm{new}}(\Gamma_1(7))$$$$^{\oplus 8}$$$$\oplus$$$$S_{3}^{\mathrm{new}}(\Gamma_1(8))$$$$^{\oplus 3}$$$$\oplus$$$$S_{3}^{\mathrm{new}}(\Gamma_1(14))$$$$^{\oplus 6}$$$$\oplus$$$$S_{3}^{\mathrm{new}}(\Gamma_1(28))$$$$^{\oplus 4}$$$$\oplus$$$$S_{3}^{\mathrm{new}}(\Gamma_1(49))$$$$^{\oplus 4}$$$$\oplus$$$$S_{3}^{\mathrm{new}}(\Gamma_1(56))$$$$^{\oplus 2}$$$$\oplus$$$$S_{3}^{\mathrm{new}}(\Gamma_1(98))$$$$^{\oplus 3}$$$$\oplus$$$$S_{3}^{\mathrm{new}}(\Gamma_1(196))$$$$^{\oplus 2}$$

Hecke characteristic polynomials

$p$ $F_p(T)$
$2$ ($$1 + 2 T$$)($$( 1 + 2 T )^{2}$$)($$1 + 3 T + 4 T^{2}$$)($$1 - 2 T + 4 T^{2}$$)($$1 - 2 T + 4 T^{2}$$)($$( 1 - 2 T )^{2}$$)($$( 1 - 2 T )^{2}$$)($$1 + 6 T^{2} + 16 T^{4}$$)($$1 + 2 T - 4 T^{3} + 32 T^{5} + 64 T^{6}$$)($$1 + 2 T - 4 T^{3} + 32 T^{5} + 64 T^{6}$$)($$1 - 2 T^{2} - 6 T^{3} - 8 T^{4} + 64 T^{6}$$)($$1 - 2 T^{2} - 6 T^{3} - 8 T^{4} + 64 T^{6}$$)($$1 - T - 2 T^{2} - 2 T^{3} + 24 T^{4} - 8 T^{5} - 32 T^{6} - 64 T^{7} + 256 T^{8}$$)($$( 1 - 4 T + 10 T^{2} - 16 T^{3} + 16 T^{4} )^{2}$$)($$( 1 + 3 T + 10 T^{2} + 28 T^{3} + 64 T^{4} + 132 T^{5} + 256 T^{6} + 448 T^{7} + 640 T^{8} + 768 T^{9} + 1024 T^{10} )^{2}$$)($$( 1 + 2 T + 4 T^{2} )^{2}$$)($$1 + 3 T + 5 T^{2} + 12 T^{3} + 16 T^{4}$$)($$( 1 - 2 T + 4 T^{2} )^{2}$$)($$( 1 - 2 T - 2 T^{2} + 4 T^{3} + 4 T^{4} + 16 T^{5} - 32 T^{6} - 128 T^{7} + 256 T^{8} )^{2}$$)($$( 1 + 2 T )^{2}$$)($$1 - 2 T + 4 T^{2}$$)($$1 - 2 T + 4 T^{2}$$)($$1 - 2 T + 4 T^{2}$$)($$( 1 + 2 T + 4 T^{2} )^{2}$$)($$( 1 + 2 T + 4 T^{2} )^{2}$$)($$1 - 3 T + 5 T^{2} - 12 T^{3} + 16 T^{4}$$)($$( 1 - 2 T + 4 T^{2} )^{2}$$)($$1 - 6 T^{2} + 20 T^{4} - 96 T^{6} + 256 T^{8}$$)($$1 - 6 T^{2} + 20 T^{4} - 96 T^{6} + 256 T^{8}$$)($$1 + 2 T^{2} - 12 T^{3} + 12 T^{4} - 12 T^{5} + 148 T^{6} - 48 T^{7} + 192 T^{8} - 768 T^{9} + 512 T^{10} + 4096 T^{12}$$)($$1 - 2 T + 4 T^{2} - 8 T^{3} + 8 T^{4} - 32 T^{5} + 80 T^{6} - 128 T^{7} + 128 T^{8} - 512 T^{9} + 1024 T^{10} - 2048 T^{11} + 4096 T^{12}$$)($$( 1 + 4 T + 6 T^{2} + 8 T^{3} + 20 T^{4} + 32 T^{5} + 96 T^{6} + 256 T^{7} + 256 T^{8} )^{2}$$)($$1 + T + 3 T^{2} - 6 T^{3} - 22 T^{4} - 44 T^{5} - 20 T^{6} + 112 T^{7} + 368 T^{8} + 448 T^{9} - 320 T^{10} - 2816 T^{11} - 5632 T^{12} - 6144 T^{13} + 12288 T^{14} + 16384 T^{15} + 65536 T^{16}$$)($$1 + T + 3 T^{2} - 6 T^{3} - 22 T^{4} - 44 T^{5} - 20 T^{6} + 112 T^{7} + 368 T^{8} + 448 T^{9} - 320 T^{10} - 2816 T^{11} - 5632 T^{12} - 6144 T^{13} + 12288 T^{14} + 16384 T^{15} + 65536 T^{16}$$)
$3$ ($$1 - 32 T^{2} + 416 T^{4} - 2592 T^{6} + 6561 T^{8}$$)($$1 - 4 T^{2} + 6 T^{4} + 316 T^{6} - 1406 T^{8} + 25596 T^{10} + 39366 T^{12} - 2125764 T^{14} + 43046721 T^{16}$$)($$1 - 16 T^{2} + 266 T^{4} - 2864 T^{6} + 32827 T^{8} - 231984 T^{10} + 1745226 T^{12} - 8503056 T^{14} + 43046721 T^{16}$$)($$1 - 2 T + 9 T^{2}$$)($$1 - 14 T^{2} + 81 T^{4}$$)($$( 1 + 9 T^{2} )^{2}$$)($$( 1 + T + 9 T^{2} )^{2}$$)($$( 1 - T + 9 T^{2} )^{2}$$)($$1 + 8 T + 32 T^{2} + 72 T^{3} + 81 T^{4}$$)($$1 - 8 T + 32 T^{2} - 72 T^{3} + 81 T^{4}$$)($$( 1 + 4 T + 20 T^{2} + 36 T^{3} + 81 T^{4} )^{2}$$)($$( 1 + 3 T + 8 T^{2} + 19 T^{3} + 72 T^{4} + 243 T^{5} + 729 T^{6} )^{2}$$)($$( 1 - 3 T + 8 T^{2} - 19 T^{3} + 72 T^{4} - 243 T^{5} + 729 T^{6} )^{2}$$)($$( 1 + 3 T + 16 T^{2} + 35 T^{3} + 144 T^{4} + 243 T^{5} + 729 T^{6} )^{2}$$)($$( 1 - 3 T + 16 T^{2} - 35 T^{3} + 144 T^{4} - 243 T^{5} + 729 T^{6} )^{2}$$)($$( 1 - 4 T + 14 T^{2} - 28 T^{3} + 98 T^{4} - 252 T^{5} + 1134 T^{6} - 2916 T^{7} + 6561 T^{8} )^{2}$$)($$( 1 + 16 T^{2} + 218 T^{4} + 1296 T^{6} + 6561 T^{8} )^{2}$$)($$( 1 + 36 T^{2} + 657 T^{4} + 8000 T^{6} + 76558 T^{8} + 685624 T^{10} + 6201198 T^{12} + 52488000 T^{14} + 349156737 T^{16} + 1549681956 T^{18} + 3486784401 T^{20} )^{2}$$)($$1 - 10 T^{2} + 19 T^{4} - 810 T^{6} + 6561 T^{8}$$)($$( 1 - 9 T^{2} + 81 T^{4} )^{2}$$)($$1 + 10 T^{2} + 19 T^{4} + 810 T^{6} + 6561 T^{8}$$)($$( 1 - 16 T^{2} + 78 T^{4} - 256 T^{6} + 4387 T^{8} - 20736 T^{10} + 511758 T^{12} - 8503056 T^{14} + 43046721 T^{16} )^{2}$$)($$1 - T - 8 T^{2} - 9 T^{3} + 81 T^{4}$$)($$1 + 2 T - 5 T^{2} + 18 T^{3} + 81 T^{4}$$)($$1 - T - 8 T^{2} - 9 T^{3} + 81 T^{4}$$)($$1 - 2 T - 5 T^{2} - 18 T^{3} + 81 T^{4}$$)($$1 + 8 T + 32 T^{2} + 112 T^{3} + 367 T^{4} + 1008 T^{5} + 2592 T^{6} + 5832 T^{7} + 6561 T^{8}$$)($$1 - 8 T + 32 T^{2} - 112 T^{3} + 367 T^{4} - 1008 T^{5} + 2592 T^{6} - 5832 T^{7} + 6561 T^{8}$$)($$( 1 - 9 T^{2} + 81 T^{4} )^{2}$$)($$1 + 14 T^{2} + 115 T^{4} + 1134 T^{6} + 6561 T^{8}$$)($$( 1 + 4 T - 4 T^{2} + 8 T^{3} + 175 T^{4} + 72 T^{5} - 324 T^{6} + 2916 T^{7} + 6561 T^{8} )^{2}$$)($$( 1 - 4 T - 4 T^{2} - 8 T^{3} + 175 T^{4} - 72 T^{5} - 324 T^{6} - 2916 T^{7} + 6561 T^{8} )^{2}$$)($$( 1 + 3 T - 7 T^{2} - 22 T^{3} + 7 T^{4} - 61 T^{5} - 350 T^{6} - 549 T^{7} + 567 T^{8} - 16038 T^{9} - 45927 T^{10} + 177147 T^{11} + 531441 T^{12} )^{2}$$)($$( 1 - 3 T + T^{2} + 14 T^{3} - 65 T^{4} + 37 T^{5} + 514 T^{6} + 333 T^{7} - 5265 T^{8} + 10206 T^{9} + 6561 T^{10} - 177147 T^{11} + 531441 T^{12} )^{2}$$)($$( 1 - 16 T^{2} + 38 T^{4} - 896 T^{6} + 20227 T^{8} - 72576 T^{10} + 249318 T^{12} - 8503056 T^{14} + 43046721 T^{16} )^{2}$$)($$( 1 + 4 T + 2 T^{2} - 14 T^{4} - 140 T^{5} + 672 T^{6} + 3140 T^{7} + 3439 T^{8} + 28260 T^{9} + 54432 T^{10} - 102060 T^{11} - 91854 T^{12} + 1062882 T^{14} + 19131876 T^{15} + 43046721 T^{16} )^{2}$$)($$( 1 - 4 T + 2 T^{2} - 14 T^{4} + 140 T^{5} + 672 T^{6} - 3140 T^{7} + 3439 T^{8} - 28260 T^{9} + 54432 T^{10} + 102060 T^{11} - 91854 T^{12} + 1062882 T^{14} - 19131876 T^{15} + 43046721 T^{16} )^{2}$$)($$1 + 32 T^{2} + 608 T^{4} + 8128 T^{6} + 83551 T^{8} + 658368 T^{10} + 3989088 T^{12} + 17006112 T^{14} + 43046721 T^{16}$$)($$1 + 20 T^{2} + 170 T^{4} + 1360 T^{6} + 13939 T^{8} + 110160 T^{10} + 1115370 T^{12} + 10628820 T^{14} + 43046721 T^{16}$$)($$1 + 8 T^{2} - 37 T^{4} - 12 T^{5} - 440 T^{6} + 1212 T^{7} - 1112 T^{8} + 10908 T^{9} - 35640 T^{10} - 8748 T^{11} - 242757 T^{12} + 4251528 T^{14} + 43046721 T^{16}$$)($$1 + 4 T^{2} + 10 T^{4} + 656 T^{6} + 2706 T^{8} - 16244 T^{10} + 289408 T^{12} + 3034676 T^{14} - 32388305 T^{16} + 245808756 T^{18} + 1898805888 T^{20} - 8632727604 T^{22} + 116484427026 T^{24} + 2287330567056 T^{26} + 2824295364810 T^{28} + 91507169819844 T^{30} + 1853020188851841 T^{32}$$)
$5$ ($$1 - 92 T^{2} + 3358 T^{4} - 57500 T^{6} + 390625 T^{8}$$)($$1 - 60 T^{2} + 2846 T^{4} - 98364 T^{6} + 2688706 T^{8} - 61477500 T^{10} + 1111718750 T^{12} - 14648437500 T^{14} + 152587890625 T^{16}$$)($$1 - 76 T^{2} + 3450 T^{4} - 122960 T^{6} + 3553859 T^{8} - 76850000 T^{10} + 1347656250 T^{12} - 18554687500 T^{14} + 152587890625 T^{16}$$)($$( 1 - 5 T )( 1 + 5 T )$$)($$( 1 - 5 T )^{2}( 1 + 5 T )^{2}$$)($$( 1 - 5 T )^{2}( 1 + 5 T )^{2}$$)($$1 - 23 T^{2} + 625 T^{4}$$)($$1 - 23 T^{2} + 625 T^{4}$$)($$( 1 - 5 T )^{2}( 1 + 5 T )^{2}$$)($$( 1 - 5 T )^{2}( 1 + 5 T )^{2}$$)($$1 - 16 T^{2} - 254 T^{4} - 10000 T^{6} + 390625 T^{8}$$)($$1 - 121 T^{2} + 6662 T^{4} - 212757 T^{6} + 4163750 T^{8} - 47265625 T^{10} + 244140625 T^{12}$$)($$1 - 121 T^{2} + 6662 T^{4} - 212757 T^{6} + 4163750 T^{8} - 47265625 T^{10} + 244140625 T^{12}$$)($$1 - 17 T^{2} + 726 T^{4} - 20253 T^{6} + 453750 T^{8} - 6640625 T^{10} + 244140625 T^{12}$$)($$1 - 17 T^{2} + 726 T^{4} - 20253 T^{6} + 453750 T^{8} - 6640625 T^{10} + 244140625 T^{12}$$)($$1 - 92 T^{2} + 5464 T^{4} - 211956 T^{6} + 6231214 T^{8} - 132472500 T^{10} + 2134375000 T^{12} - 22460937500 T^{14} + 152587890625 T^{16}$$)($$( 1 - 16 T^{2} + 1114 T^{4} - 10000 T^{6} + 390625 T^{8} )^{2}$$)($$( 1 - 70 T^{2} + 3161 T^{4} - 119488 T^{6} + 3879654 T^{8} - 104907412 T^{10} + 2424783750 T^{12} - 46675000000 T^{14} + 771728515625 T^{16} - 10681152343750 T^{18} + 95367431640625 T^{20} )^{2}$$)($$1 + 22 T^{2} - 141 T^{4} + 13750 T^{6} + 390625 T^{8}$$)($$( 1 - 25 T^{2} + 625 T^{4} )^{2}$$)($$1 - 22 T^{2} - 141 T^{4} - 13750 T^{6} + 390625 T^{8}$$)($$( 1 - 56 T^{2} + 1534 T^{4} - 19712 T^{6} + 215779 T^{8} - 12320000 T^{10} + 599218750 T^{12} - 13671875000 T^{14} + 152587890625 T^{16} )^{2}$$)($$1 - 9 T + 52 T^{2} - 225 T^{3} + 625 T^{4}$$)($$( 1 - 5 T + 25 T^{2} )( 1 + 5 T + 25 T^{2} )$$)($$1 + 9 T + 52 T^{2} + 225 T^{3} + 625 T^{4}$$)($$( 1 - 5 T + 25 T^{2} )( 1 + 5 T + 25 T^{2} )$$)($$( 1 - 5 T + 25 T^{2} )^{2}( 1 + 5 T + 25 T^{2} )^{2}$$)($$( 1 - 5 T + 25 T^{2} )^{2}( 1 + 5 T + 25 T^{2} )^{2}$$)($$( 1 - 5 T + 25 T^{2} )^{2}( 1 + 5 T + 25 T^{2} )^{2}$$)($$( 1 - 5 T + 25 T^{2} )^{2}( 1 + 5 T + 25 T^{2} )^{2}$$)($$1 + 16 T^{2} + 510 T^{4} - 24064 T^{6} - 486109 T^{8} - 15040000 T^{10} + 199218750 T^{12} + 3906250000 T^{14} + 152587890625 T^{16}$$)($$1 + 16 T^{2} + 510 T^{4} - 24064 T^{6} - 486109 T^{8} - 15040000 T^{10} + 199218750 T^{12} + 3906250000 T^{14} + 152587890625 T^{16}$$)($$1 + 17 T^{2} - 437 T^{4} - 28164 T^{6} - 270975 T^{8} + 5916803 T^{10} + 456152134 T^{12} + 3698001875 T^{14} - 105849609375 T^{16} - 6875976562500 T^{18} - 66680908203125 T^{20} + 1621246337890625 T^{22} + 59604644775390625 T^{24}$$)($$1 + 121 T^{2} + 7979 T^{4} + 380588 T^{6} + 14474897 T^{8} + 457025259 T^{10} + 12295779174 T^{12} + 285640786875 T^{14} + 5654256640625 T^{16} + 92916992187500 T^{18} + 1217498779296875 T^{20} + 11539459228515625 T^{22} + 59604644775390625 T^{24}$$)($$( 1 + 16 T^{2} - 858 T^{4} - 2176 T^{6} + 690371 T^{8} - 1360000 T^{10} - 335156250 T^{12} + 3906250000 T^{14} + 152587890625 T^{16} )^{2}$$)($$1 + 92 T^{2} + 3000 T^{4} + 78776 T^{6} + 4124130 T^{8} + 144056708 T^{10} + 2959272640 T^{12} + 91907152084 T^{14} + 3067686313171 T^{16} + 57441970052500 T^{18} + 1155965875000000 T^{20} + 35170094726562500 T^{22} + 629292297363281250 T^{24} + 7512664794921875000 T^{26} +$$$$17\!\cdots\!00$$$$T^{28} +$$$$34\!\cdots\!00$$$$T^{30} +$$$$23\!\cdots\!25$$$$T^{32}$$)($$1 + 92 T^{2} + 3000 T^{4} + 78776 T^{6} + 4124130 T^{8} + 144056708 T^{10} + 2959272640 T^{12} + 91907152084 T^{14} + 3067686313171 T^{16} + 57441970052500 T^{18} + 1155965875000000 T^{20} + 35170094726562500 T^{22} + 629292297363281250 T^{24} + 7512664794921875000 T^{26} +$$$$17\!\cdots\!00$$$$T^{28} +$$$$34\!\cdots\!00$$$$T^{30} +$$$$23\!\cdots\!25$$$$T^{32}$$)($$1 + 92 T^{2} + 5106 T^{4} + 193936 T^{6} + 5595539 T^{8} + 121210000 T^{10} + 1994531250 T^{12} + 22460937500 T^{14} + 152587890625 T^{16}$$)($$1 + 20 T^{2} + 618 T^{4} - 29360 T^{6} - 593101 T^{8} - 18350000 T^{10} + 241406250 T^{12} + 4882812500 T^{14} + 152587890625 T^{16}$$)($$1 + 38 T^{2} + 441 T^{4} + 624 T^{5} - 8618 T^{6} + 48144 T^{7} - 267916 T^{8} + 1203600 T^{9} - 5386250 T^{10} + 9750000 T^{11} + 172265625 T^{12} + 9277343750 T^{14} + 152587890625 T^{16}$$)($$1 + 60 T^{2} + 754 T^{4} - 25968 T^{6} - 490830 T^{8} + 18776724 T^{10} + 558206720 T^{12} - 4106490516 T^{14} - 376759808689 T^{16} - 2566556572500 T^{18} + 218049500000000 T^{20} + 4584161132812500 T^{22} - 74894714355468750 T^{24} - 2476501464843750000 T^{26} + 44941902160644531250 T^{28} +$$$$22\!\cdots\!00$$$$T^{30} +$$$$23\!\cdots\!25$$$$T^{32}$$)
$7$ 1
$11$ ($$( 1 - 12 T + 228 T^{2} - 1452 T^{3} + 14641 T^{4} )^{2}$$)($$( 1 + 12 T + 262 T^{2} + 2900 T^{3} + 49706 T^{4} + 350900 T^{5} + 3835942 T^{6} + 21258732 T^{7} + 214358881 T^{8} )^{2}$$)($$( 1 + 4 T + 216 T^{2} + 2588 T^{3} + 22829 T^{4} + 313148 T^{5} + 3162456 T^{6} + 7086244 T^{7} + 214358881 T^{8} )^{2}$$)($$1 - 14 T + 121 T^{2}$$)($$( 1 + 14 T + 121 T^{2} )^{2}$$)($$( 1 - 6 T + 121 T^{2} )^{2}$$)($$( 1 - 17 T + 121 T^{2} )^{2}$$)($$( 1 - 17 T + 121 T^{2} )^{2}$$)($$1 - 46 T^{2} + 14641 T^{4}$$)($$1 - 46 T^{2} + 14641 T^{4}$$)($$( 1 - 8 T + 186 T^{2} - 968 T^{3} + 14641 T^{4} )^{2}$$)($$( 1 + 15 T + 354 T^{2} + 3117 T^{3} + 42834 T^{4} + 219615 T^{5} + 1771561 T^{6} )^{2}$$)($$( 1 + 15 T + 354 T^{2} + 3117 T^{3} + 42834 T^{4} + 219615 T^{5} + 1771561 T^{6} )^{2}$$)($$( 1 - 7 T + 242 T^{2} - 1981 T^{3} + 29282 T^{4} - 102487 T^{5} + 1771561 T^{6} )^{2}$$)($$( 1 - 7 T + 242 T^{2} - 1981 T^{3} + 29282 T^{4} - 102487 T^{5} + 1771561 T^{6} )^{2}$$)($$( 1 + 16 T + 328 T^{2} + 4944 T^{3} + 49230 T^{4} + 598224 T^{5} + 4802248 T^{6} + 28344976 T^{7} + 214358881 T^{8} )^{2}$$)($$( 1 + 114 T^{2} + 14641 T^{4} )^{4}$$)($$( 1 + 8 T + 409 T^{2} + 2400 T^{3} + 75118 T^{4} + 352816 T^{5} + 9089278 T^{6} + 35138400 T^{7} + 724568449 T^{8} + 1714871048 T^{9} + 25937424601 T^{10} )^{4}$$)($$( 1 - 11 T + 121 T^{2} )^{2}( 1 + 11 T + 121 T^{2} )^{2}$$)($$( 1 - 6 T - 85 T^{2} - 726 T^{3} + 14641 T^{4} )( 1 + 6 T - 85 T^{2} + 726 T^{3} + 14641 T^{4} )$$)($$( 1 - 11 T + 121 T^{2} )^{2}( 1 + 11 T + 121 T^{2} )^{2}$$)($$( 1 + 364 T^{2} + 73162 T^{4} + 10938928 T^{6} + 1366290739 T^{8} + 160156844848 T^{10} + 15682924451722 T^{12} + 1142387929126444 T^{14} + 45949729863572161 T^{16} )^{2}$$)($$1 + 17 T + 168 T^{2} + 2057 T^{3} + 14641 T^{4}$$)($$1 + 14 T + 75 T^{2} + 1694 T^{3} + 14641 T^{4}$$)($$1 + 17 T + 168 T^{2} + 2057 T^{3} + 14641 T^{4}$$)($$1 + 14 T + 75 T^{2} + 1694 T^{3} + 14641 T^{4}$$)($$1 + 46 T^{2} - 12525 T^{4} + 673486 T^{6} + 214358881 T^{8}$$)($$1 + 46 T^{2} - 12525 T^{4} + 673486 T^{6} + 214358881 T^{8}$$)($$( 1 + 6 T - 85 T^{2} + 726 T^{3} + 14641 T^{4} )^{2}$$)($$( 1 - 14 T + 75 T^{2} - 1694 T^{3} + 14641 T^{4} )^{2}$$)($$( 1 + 8 T - 122 T^{2} - 448 T^{3} + 12211 T^{4} - 54208 T^{5} - 1786202 T^{6} + 14172488 T^{7} + 214358881 T^{8} )^{2}$$)($$( 1 + 8 T - 122 T^{2} - 448 T^{3} + 12211 T^{4} - 54208 T^{5} - 1786202 T^{6} + 14172488 T^{7} + 214358881 T^{8} )^{2}$$)($$( 1 + 7 T - 193 T^{2} - 2268 T^{3} + 15415 T^{4} + 171941 T^{5} - 336170 T^{6} + 20804861 T^{7} + 225691015 T^{8} - 4017900348 T^{9} - 41371264033 T^{10} + 181561972207 T^{11} + 3138428376721 T^{12} )^{2}$$)($$( 1 - 15 T - 129 T^{2} + 924 T^{3} + 35727 T^{4} - 38013 T^{5} - 5198650 T^{6} - 4599573 T^{7} + 523079007 T^{8} + 1636922364 T^{9} - 27652295649 T^{10} - 389061369015 T^{11} + 3138428376721 T^{12} )^{2}$$)($$( 1 - 114 T^{2} - 1645 T^{4} - 1669074 T^{6} + 214358881 T^{8} )^{4}$$)($$( 1 - 16 T - 72 T^{2} + 4640 T^{3} - 20750 T^{4} - 644496 T^{5} + 8328608 T^{6} + 43860880 T^{7} - 1416483549 T^{8} + 5307166480 T^{9} + 121939149728 T^{10} - 1141763978256 T^{11} - 4447946780750 T^{12} + 120349650148640 T^{13} - 225966843123912 T^{14} - 6075997337331856 T^{15} + 45949729863572161 T^{16} )^{2}$$)($$( 1 - 16 T - 72 T^{2} + 4640 T^{3} - 20750 T^{4} - 644496 T^{5} + 8328608 T^{6} + 43860880 T^{7} - 1416483549 T^{8} + 5307166480 T^{9} + 121939149728 T^{10} - 1141763978256 T^{11} - 4447946780750 T^{12} + 120349650148640 T^{13} - 225966843123912 T^{14} - 6075997337331856 T^{15} + 45949729863572161 T^{16} )^{2}$$)($$( 1 + 12 T - 84 T^{2} - 168 T^{3} + 19919 T^{4} - 20328 T^{5} - 1229844 T^{6} + 21258732 T^{7} + 214358881 T^{8} )^{2}$$)($$( 1 + 4 T - 102 T^{2} - 496 T^{3} - 2653 T^{4} - 60016 T^{5} - 1493382 T^{6} + 7086244 T^{7} + 214358881 T^{8} )^{2}$$)($$1 - 4 T - 200 T^{2} + 4312 T^{3} + 13475 T^{4} - 689524 T^{5} + 6839000 T^{6} + 56462416 T^{7} - 1130023208 T^{8} + 6831952336 T^{9} + 100129799000 T^{10} - 1221533826964 T^{11} + 2888485921475 T^{12} + 111842174879512 T^{13} - 627685675344200 T^{14} - 1518999334332964 T^{15} + 45949729863572161 T^{16}$$)($$( 1 - 12 T - 118 T^{2} + 2656 T^{3} - 15862 T^{4} + 82244 T^{5} - 1151888 T^{6} - 27565836 T^{7} + 743910319 T^{8} - 3335466156 T^{9} - 16864792208 T^{10} + 145700262884 T^{11} - 3400160570422 T^{12} + 68889799740256 T^{13} - 370334548453078 T^{14} - 4556998002998892 T^{15} + 45949729863572161 T^{16} )^{2}$$)
$13$ ($$1 - 316 T^{2} + 81438 T^{4} - 9025276 T^{6} + 815730721 T^{8}$$)($$1 - 732 T^{2} + 294366 T^{4} - 80147676 T^{6} + 15759182786 T^{8} - 2289097774236 T^{10} + 240123389417886 T^{12} - 17054198309656092 T^{14} + 665416609183179841 T^{16}$$)($$1 - 640 T^{2} + 235068 T^{4} - 60334976 T^{6} + 11718042566 T^{8} - 1723227249536 T^{10} + 191752189124028 T^{12} - 14910774478387840 T^{14} + 665416609183179841 T^{16}$$)($$( 1 - 13 T )( 1 + 13 T )$$)($$( 1 - 13 T )^{2}( 1 + 13 T )^{2}$$)($$( 1 - 13 T )^{2}( 1 + 13 T )^{2}$$)($$( 1 - 22 T + 169 T^{2} )( 1 + 22 T + 169 T^{2} )$$)($$( 1 - 22 T + 169 T^{2} )( 1 + 22 T + 169 T^{2} )$$)($$( 1 - 13 T )^{2}( 1 + 13 T )^{2}$$)($$( 1 - 13 T )^{2}( 1 + 13 T )^{2}$$)($$1 - 592 T^{2} + 143170 T^{4} - 16908112 T^{6} + 815730721 T^{8}$$)($$1 - 86 T^{2} + 60895 T^{4} - 4902788 T^{6} + 1739222095 T^{8} - 70152842006 T^{10} + 23298085122481 T^{12}$$)($$1 - 86 T^{2} + 60895 T^{4} - 4902788 T^{6} + 1739222095 T^{8} - 70152842006 T^{10} + 23298085122481 T^{12}$$)($$1 - 950 T^{2} + 386271 T^{4} - 85941828 T^{6} + 11032286031 T^{8} - 774944184950 T^{10} + 23298085122481 T^{12}$$)($$1 - 950 T^{2} + 386271 T^{4} - 85941828 T^{6} + 11032286031 T^{8} - 774944184950 T^{10} + 23298085122481 T^{12}$$)($$1 - 444 T^{2} + 142936 T^{4} - 35361044 T^{6} + 6575436334 T^{8} - 1009946777684 T^{10} + 116597286336856 T^{12} - 10344349794381564 T^{14} + 665416609183179841 T^{16}$$)($$( 1 - 80 T^{2} + 46554 T^{4} - 2284880 T^{6} + 815730721 T^{8} )^{2}$$)($$( 1 - 598 T^{2} + 196249 T^{4} - 53152384 T^{6} + 11652641350 T^{8} - 2096383521268 T^{10} + 332811089597350 T^{12} - 43358032523188864 T^{14} + 4572225907201773769 T^{16} -$$$$39\!\cdots\!18$$$$T^{18} +$$$$19\!\cdots\!01$$$$T^{20} )^{2}$$)($$( 1 - 310 T^{2} + 28561 T^{4} )^{2}$$)($$( 1 + 169 T^{2} )^{4}$$)($$( 1 + 310 T^{2} + 28561 T^{4} )^{2}$$)($$( 1 + 344 T^{2} + 86658 T^{4} + 9824984 T^{6} + 815730721 T^{8} )^{4}$$)($$( 1 - 22 T + 169 T^{2} )( 1 + 22 T + 169 T^{2} )$$)($$( 1 - 13 T )^{2}( 1 + 13 T )^{2}$$)($$( 1 - 22 T + 169 T^{2} )( 1 + 22 T + 169 T^{2} )$$)($$( 1 - 13 T )^{2}( 1 + 13 T )^{2}$$)($$( 1 - 13 T )^{4}( 1 + 13 T )^{4}$$)($$( 1 - 13 T )^{4}( 1 + 13 T )^{4}$$)($$( 1 - 13 T )^{4}( 1 + 13 T )^{4}$$)($$( 1 - 13 T )^{4}( 1 + 13 T )^{4}$$)($$( 1 - 592 T^{2} + 143170 T^{4} - 16908112 T^{6} + 815730721 T^{8} )^{2}$$)($$( 1 - 592 T^{2} + 143170 T^{4} - 16908112 T^{6} + 815730721 T^{8} )^{2}$$)($$( 1 - 950 T^{2} + 386271 T^{4} - 85941828 T^{6} + 11032286031 T^{8} - 774944184950 T^{10} + 23298085122481 T^{12} )^{2}$$)($$( 1 - 86 T^{2} + 60895 T^{4} - 4902788 T^{6} + 1739222095 T^{8} - 70152842006 T^{10} + 23298085122481 T^{12} )^{2}$$)($$( 1 - 80 T^{2} + 46554 T^{4} - 2284880 T^{6} + 815730721 T^{8} )^{4}$$)($$( 1 - 444 T^{2} + 142936 T^{4} - 35361044 T^{6} + 6575436334 T^{8} - 1009946777684 T^{10} + 116597286336856 T^{12} - 10344349794381564 T^{14} + 665416609183179841 T^{16} )^{2}$$)($$( 1 - 444 T^{2} + 142936 T^{4} - 35361044 T^{6} + 6575436334 T^{8} - 1009946777684 T^{10} + 116597286336856 T^{12} - 10344349794381564 T^{14} + 665416609183179841 T^{16} )^{2}$$)($$( 1 - 316 T^{2} + 81438 T^{4} - 9025276 T^{6} + 815730721 T^{8} )^{2}$$)($$( 1 - 212 T^{2} + 14566 T^{4} - 6054932 T^{6} + 815730721 T^{8} )^{2}$$)($$1 - 640 T^{2} + 235068 T^{4} - 60334976 T^{6} + 11718042566 T^{8} - 1723227249536 T^{10} + 191752189124028 T^{12} - 14910774478387840 T^{14} + 665416609183179841 T^{16}$$)($$( 1 - 732 T^{2} + 294366 T^{4} - 80147676 T^{6} + 15759182786 T^{8} - 2289097774236 T^{10} + 240123389417886 T^{12} - 17054198309656092 T^{14} + 665416609183179841 T^{16} )^{2}$$)
$17$ ($$1 - 816 T^{2} + 307968 T^{4} - 68153136 T^{6} + 6975757441 T^{8}$$)($$1 + 80 T^{2} + 92480 T^{4} - 47071152 T^{6} - 3186413310 T^{8} - 3931429686192 T^{10} + 645118048143680 T^{12} + 46609778978380880 T^{14} + 48661191875666868481 T^{16}$$)($$1 - 1404 T^{2} + 992106 T^{4} - 455789616 T^{6} + 152261682227 T^{8} - 38068004517936 T^{10} + 6920690811760746 T^{12} - 818001621070584444 T^{14} + 48661191875666868481 T^{16}$$)($$1 + 2 T + 289 T^{2}$$)($$1 - 574 T^{2} + 83521 T^{4}$$)($$( 1 + 289 T^{2} )^{2}$$)($$( 1 - 25 T + 289 T^{2} )^{2}$$)($$( 1 + 25 T + 289 T^{2} )^{2}$$)($$1 - 48 T + 1152 T^{2} - 13872 T^{3} + 83521 T^{4}$$)($$1 + 48 T + 1152 T^{2} + 13872 T^{3} + 83521 T^{4}$$)($$( 1 + 36 T + 870 T^{2} + 10404 T^{3} + 83521 T^{4} )^{2}$$)($$( 1 - 15 T + 890 T^{2} - 8635 T^{3} + 257210 T^{4} - 1252815 T^{5} + 24137569 T^{6} )^{2}$$)($$( 1 + 15 T + 890 T^{2} + 8635 T^{3} + 257210 T^{4} + 1252815 T^{5} + 24137569 T^{6} )^{2}$$)($$( 1 - 41 T + 1210 T^{2} - 22077 T^{3} + 349690 T^{4} - 3424361 T^{5} + 24137569 T^{6} )^{2}$$)($$( 1 + 41 T + 1210 T^{2} + 22077 T^{3} + 349690 T^{4} + 3424361 T^{5} + 24137569 T^{6} )^{2}$$)($$( 1 - 40 T + 1308 T^{2} - 31512 T^{3} + 588230 T^{4} - 9106968 T^{5} + 109245468 T^{6} - 965502760 T^{7} + 6975757441 T^{8} )^{2}$$)($$( 1 + 452 T^{2} + 117766 T^{4} + 37751492 T^{6} + 6975757441 T^{8} )^{2}$$)($$( 1 + 2080 T^{2} + 2023877 T^{4} + 1234231424 T^{6} + 534493484170 T^{8} + 175483953795264 T^{10} + 44641430291362570 T^{12} + 8609699039884025984 T^{14} +$$$$11\!\cdots\!97$$$$T^{16} +$$$$10\!\cdots\!80$$$$T^{18} +$$$$40\!\cdots\!01$$$$T^{20} )^{2}$$)($$( 1 - 17 T + 289 T^{2} )^{2}( 1 + 17 T + 289 T^{2} )^{2}$$)($$( 1 - 17 T + 289 T^{2} )^{2}( 1 + 17 T + 289 T^{2} )^{2}$$)($$( 1 - 17 T + 289 T^{2} )^{2}( 1 + 17 T + 289 T^{2} )^{2}$$)($$( 1 + 148 T^{2} - 143702 T^{4} - 212528 T^{6} + 18620145811 T^{8} - 17750551088 T^{10} - 1002430295786582 T^{12} + 86228091110004628 T^{14} + 48661191875666868481 T^{16} )^{2}$$)($$1 + 25 T + 336 T^{2} + 7225 T^{3} + 83521 T^{4}$$)($$1 - 2 T - 285 T^{2} - 578 T^{3} + 83521 T^{4}$$)($$1 + 25 T + 336 T^{2} + 7225 T^{3} + 83521 T^{4}$$)($$1 + 2 T - 285 T^{2} + 578 T^{3} + 83521 T^{4}$$)($$1 - 48 T + 1152 T^{2} - 27552 T^{3} + 577727 T^{4} - 7962528 T^{5} + 96216192 T^{6} - 1158603312 T^{7} + 6975757441 T^{8}$$)($$1 + 48 T + 1152 T^{2} + 27552 T^{3} + 577727 T^{4} + 7962528 T^{5} + 96216192 T^{6} + 1158603312 T^{7} + 6975757441 T^{8}$$)($$( 1 - 289 T^{2} + 83521 T^{4} )^{2}$$)($$1 + 574 T^{2} + 245955 T^{4} + 47941054 T^{6} + 6975757441 T^{8}$$)($$( 1 + 36 T + 426 T^{2} + 10512 T^{3} + 298835 T^{4} + 3037968 T^{5} + 35579946 T^{6} + 868952484 T^{7} + 6975757441 T^{8} )^{2}$$)($$( 1 - 36 T + 426 T^{2} - 10512 T^{3} + 298835 T^{4} - 3037968 T^{5} + 35579946 T^{6} - 868952484 T^{7} + 6975757441 T^{8} )^{2}$$)($$( 1 - 41 T + 471 T^{2} - 5456 T^{3} + 209253 T^{4} - 1462951 T^{5} - 27854634 T^{6} - 422792839 T^{7} + 17477019813 T^{8} - 131694576464 T^{9} + 3285581754711 T^{10} - 82655749918409 T^{11} + 582622237229761 T^{12} )^{2}$$)($$( 1 + 15 T - 665 T^{2} - 3920 T^{3} + 405365 T^{4} + 1221665 T^{5} - 124870762 T^{6} + 353061185 T^{7} + 33856490165 T^{8} - 94619270480 T^{9} - 4638878698265 T^{10} + 30239908506735 T^{11} + 582622237229761 T^{12} )^{2}$$)($$( 1 - 452 T^{2} + 86538 T^{4} + 22272752 T^{6} - 10170601069 T^{8} + 1860242519792 T^{10} + 603668097429258 T^{12} - 263345251227851972 T^{14} + 48661191875666868481 T^{16} )^{2}$$)($$( 1 + 40 T + 292 T^{2} - 10704 T^{3} - 137846 T^{4} + 3266264 T^{5} + 77813520 T^{6} + 47796952 T^{7} - 13592851501 T^{8} + 13813319128 T^{9} + 6499063003920 T^{10} + 78839672672216 T^{11} - 961580260212086 T^{12} - 21579198710406096 T^{13} + 170125693271090212 T^{14} + 6735113062376037160 T^{15} + 48661191875666868481 T^{16} )^{2}$$)($$( 1 - 40 T + 292 T^{2} + 10704 T^{3} - 137846 T^{4} - 3266264 T^{5} + 77813520 T^{6} - 47796952 T^{7} - 13592851501 T^{8} - 13813319128 T^{9} + 6499063003920 T^{10} - 78839672672216 T^{11} - 961580260212086 T^{12} + 21579198710406096 T^{13} + 170125693271090212 T^{14} - 6735113062376037160 T^{15} + 48661191875666868481 T^{16} )^{2}$$)($$1 + 816 T^{2} + 357888 T^{4} + 114995616 T^{6} + 32255572607 T^{8} + 9604548843936 T^{10} + 2496539879044608 T^{12} + 475419745579484976 T^{14} + 48661191875666868481 T^{16}$$)($$1 + 900 T^{2} + 448650 T^{4} + 174877200 T^{6} + 55946055059 T^{8} + 14605918621200 T^{10} + 3129673575904650 T^{12} + 524360013506784900 T^{14} + 48661191875666868481 T^{16}$$)($$1 - 24 T + 990 T^{2} - 19152 T^{3} + 459153 T^{4} - 9113136 T^{5} + 188222142 T^{6} - 3566193384 T^{7} + 64414768676 T^{8} - 1030629887976 T^{9} + 15720501521982 T^{10} - 219968949006384 T^{11} + 3202939956307473 T^{12} - 38610315181399248 T^{13} + 576796014857463390 T^{14} - 4041067837425622296 T^{15} + 48661191875666868481 T^{16}$$)($$1 - 80 T^{2} - 86080 T^{4} - 101540704 T^{6} + 15504655870 T^{8} + 7774743693552 T^{10} + 4115123324698624 T^{12} - 975364602837780720 T^{14} -$$$$27\!\cdots\!65$$$$T^{16} -$$$$81\!\cdots\!20$$$$T^{18} +$$$$28\!\cdots\!84$$$$T^{20} +$$$$45\!\cdots\!72$$$$T^{22} +$$$$75\!\cdots\!70$$$$T^{24} -$$$$41\!\cdots\!04$$$$T^{26} -$$$$29\!\cdots\!80$$$$T^{28} -$$$$22\!\cdots\!80$$$$T^{30} +$$$$23\!\cdots\!61$$$$T^{32}$$)
$19$ ($$1 - 144 T^{2} + 261024 T^{4} - 18766224 T^{6} + 16983563041 T^{8}$$)($$1 - 1908 T^{2} + 1790534 T^{4} - 1073296084 T^{6} + 454736067330 T^{8} - 139873018962964 T^{10} + 30409647066053894 T^{12} - 4223004865578235188 T^{14} +$$$$28\!\cdots\!81$$$$T^{16}$$)($$1 - 1648 T^{2} + 1431594 T^{4} - 833249264 T^{6} + 351387480155 T^{8} - 108589877333744 T^{10} + 24313566948117354 T^{12} - 3647542986621033328 T^{14} +$$$$28\!\cdots\!81$$$$T^{16}$$)($$1 - 34 T + 361 T^{2}$$)($$1 + 434 T^{2} + 130321 T^{4}$$)($$( 1 + 361 T^{2} )^{2}$$)($$( 1 - 7 T + 361 T^{2} )^{2}$$)($$( 1 + 7 T + 361 T^{2} )^{2}$$)($$1 - 24 T + 288 T^{2} - 8664 T^{3} + 130321 T^{4}$$)($$1 + 24 T + 288 T^{2} + 8664 T^{3} + 130321 T^{4}$$)($$( 1 + 4 T + 4 T^{2} + 1444 T^{3} + 130321 T^{4} )^{2}$$)($$( 1 - 39 T + 1370 T^{2} - 28697 T^{3} + 494570 T^{4} - 5082519 T^{5} + 47045881 T^{6} )^{2}$$)($$( 1 + 39 T + 1370 T^{2} + 28697 T^{3} + 494570 T^{4} + 5082519 T^{5} + 47045881 T^{6} )^{2}$$)($$( 1 - 47 T + 1722 T^{2} - 36201 T^{3} + 621642 T^{4} - 6125087 T^{5} + 47045881 T^{6} )^{2}$$)($$( 1 + 47 T + 1722 T^{2} + 36201 T^{3} + 621642 T^{4} + 6125087 T^{5} + 47045881 T^{6} )^{2}$$)($$( 1 + 28 T + 1710 T^{2} + 31332 T^{3} + 975266 T^{4} + 11310852 T^{5} + 222848910 T^{6} + 1317284668 T^{7} + 16983563041 T^{8} )^{2}$$)($$( 1 + 80 T^{2} + 260890 T^{4} + 10425680 T^{6} + 16983563041 T^{8} )^{2}$$)($$( 1 + 1972 T^{2} + 2081169 T^{4} + 1494562944 T^{6} + 795556368206 T^{8} + 325910604884888 T^{10} + 103677701460974126 T^{12} + 25383003978166552704 T^{14} +$$$$46\!\cdots\!09$$$$T^{16} +$$$$56\!\cdots\!32$$$$T^{18} +$$$$37\!\cdots\!01$$$$T^{20} )^{2}$$)($$1 - 650 T^{2} + 292179 T^{4} - 84708650 T^{6} + 16983563041 T^{8}$$)($$( 1 - 361 T^{2} + 130321 T^{4} )^{2}$$)($$1 + 650 T^{2} + 292179 T^{4} + 84708650 T^{6} + 16983563041 T^{8}$$)($$( 1 - 656 T^{2} + 102478 T^{4} - 44093696 T^{6} + 34425487267 T^{8} - 5746334556416 T^{10} + 1740441573315598 T^{12} - 1451934586907401616 T^{14} +$$$$28\!\cdots\!81$$$$T^{16} )^{2}$$)($$1 + 7 T - 312 T^{2} + 2527 T^{3} + 130321 T^{4}$$)($$1 + 34 T + 795 T^{2} + 12274 T^{3} + 130321 T^{4}$$)($$1 + 7 T - 312 T^{2} + 2527 T^{3} + 130321 T^{4}$$)($$1 - 34 T + 795 T^{2} - 12274 T^{3} + 130321 T^{4}$$)($$1 - 24 T + 288 T^{2} + 10416 T^{3} - 255313 T^{4} + 3760176 T^{5} + 37532448 T^{6} - 1129101144 T^{7} + 16983563041 T^{8}$$)($$1 + 24 T + 288 T^{2} - 10416 T^{3} - 255313 T^{4} - 3760176 T^{5} + 37532448 T^{6} + 1129101144 T^{7} + 16983563041 T^{8}$$)($$( 1 - 361 T^{2} + 130321 T^{4} )^{2}$$)($$1 - 434 T^{2} + 58035 T^{4} - 56559314 T^{6} + 16983563041 T^{8}$$)($$( 1 + 4 T + 12 T^{2} - 2872 T^{3} - 136081 T^{4} - 1036792 T^{5} + 1563852 T^{6} + 188183524 T^{7} + 16983563041 T^{8} )^{2}$$)($$( 1 - 4 T + 12 T^{2} + 2872 T^{3} - 136081 T^{4} + 1036792 T^{5} + 1563852 T^{6} - 188183524 T^{7} + 16983563041 T^{8} )^{2}$$)($$( 1 - 47 T + 487 T^{2} - 8532 T^{3} + 642195 T^{4} - 10028861 T^{5} + 46257550 T^{6} - 3620418821 T^{7} + 83691494595 T^{8} - 401395456692 T^{9} + 8270995200967 T^{10} - 288160114116647 T^{11} + 2213314919066161 T^{12} )^{2}$$)($$( 1 + 39 T + 151 T^{2} - 3964 T^{3} + 263147 T^{4} + 5820949 T^{5} + 41830430 T^{6} + 2101362589 T^{7} + 34293580187 T^{8} - 186489872284 T^{9} + 2564518019191 T^{10} + 239111584054239 T^{11} + 2213314919066161 T^{12} )^{2}$$)($$( 1 - 80 T^{2} - 254490 T^{4} - 19840 T^{6} + 50245974659 T^{8} - 2585568640 T^{10} - 4322146958304090 T^{12} - 177065193525292880 T^{14} +$$$$28\!\cdots\!81$$$$T^{16} )^{2}$$)($$( 1 - 28 T - 926 T^{2} + 14784 T^{3} + 1071538 T^{4} - 10273676 T^{5} - 557016672 T^{6} + 569025380 T^{7} + 272464898159 T^{8} + 205418162180 T^{9} - 72590969711712 T^{10} - 483334138528556 T^{11} + 18198533173827058 T^{12} + 90641683555329984 T^{13} - 2049529615055265086 T^{14} - 22372187201920755388 T^{15} +$$$$28\!\cdots\!81$$$$T^{16} )^{2}$$)($$( 1 + 28 T - 926 T^{2} - 14784 T^{3} + 1071538 T^{4} + 10273676 T^{5} - 557016672 T^{6} - 569025380 T^{7} + 272464898159 T^{8} - 205418162180 T^{9} - 72590969711712 T^{10} + 483334138528556 T^{11} + 18198533173827058 T^{12} - 90641683555329984 T^{13} - 2049529615055265086 T^{14} + 22372187201920755388 T^{15} +$$$$28\!\cdots\!81$$$$T^{16} )^{2}$$)($$1 + 144 T^{2} - 240288 T^{4} + 55008 T^{6} + 48447629279 T^{8} + 7168697568 T^{10} - 4080946395995808 T^{12} + 318717348345527184 T^{14} +$$$$28\!\cdots\!81$$$$T^{16}$$)($$1 + 404 T^{2} - 121302 T^{4} + 9645904 T^{6} + 42696456947 T^{8} + 1257063855184 T^{10} - 2060140163999382 T^{12} + 894179227302729044 T^{14} +$$$$28\!\cdots\!81$$$$T^{16}$$)($$1 - 84 T + 4352 T^{2} - 168000 T^{3} + 5284203 T^{4} - 141943956 T^{5} + 3384825040 T^{6} - 72944180232 T^{7} + 1444176057608 T^{8} - 26332849063752 T^{9} + 441113784037840 T^{10} - 6677878462645236 T^{11} + 89744594771941323 T^{12} - 1030019131310568000 T^{13} + 9632346527775932672 T^{14} - 67116561605762266164 T^{15} +$$$$28\!\cdots\!81$$$$T^{16}$$)($$1 + 1908 T^{2} + 1849930 T^{4} + 1269746704 T^{6} + 703427009554 T^{8} + 326373316500540 T^{10} + 131685668299853312 T^{12} + 49416259514794835108 T^{14} +$$$$18\!\cdots\!55$$$$T^{16} +$$$$64\!\cdots\!68$$$$T^{18} +$$$$22\!\cdots\!92$$$$T^{20} +$$$$72\!\cdots\!40$$$$T^{22} +$$$$20\!\cdots\!74$$$$T^{24} +$$$$47\!\cdots\!04$$$$T^{26} +$$$$90\!\cdots\!30$$$$T^{28} +$$$$12\!\cdots\!28$$$$T^{30} +$$$$83\!\cdots\!61$$$$T^{32}$$)
$23$ ($$( 1 - 20 T + 646 T^{2} - 10580 T^{3} + 279841 T^{4} )^{2}$$)($$( 1 + 68 T + 2424 T^{2} + 59308 T^{3} + 1324398 T^{4} + 31373932 T^{5} + 678334584 T^{6} + 10066440452 T^{7} + 78310985281 T^{8} )^{2}$$)($$( 1 - 48 T + 2880 T^{2} - 80628 T^{3} + 2493581 T^{4} - 42652212 T^{5} + 805942080 T^{6} - 7105722672 T^{7} + 78310985281 T^{8} )^{2}$$)($$( 1 - 23 T )( 1 + 23 T )$$)($$( 1 - 23 T )^{2}( 1 + 23 T )^{2}$$)($$( 1 - 18 T + 529 T^{2} )( 1 + 18 T + 529 T^{2} )$$)($$1 - 1031 T^{2} + 279841 T^{4}$$)($$1 - 1031 T^{2} + 279841 T^{4}$$)($$( 1 - 23 T )^{2}( 1 + 23 T )^{2}$$)($$( 1 - 23 T )^{2}( 1 + 23 T )^{2}$$)($$1 - 268 T^{2} + 477286 T^{4} - 74997388 T^{6} + 78310985281 T^{8}$$)($$1 - 693 T^{2} + 495830 T^{4} - 329634845 T^{6} + 138753563030 T^{8} - 54269512799733 T^{10} + 21914624432020321 T^{12}$$)($$1 - 693 T^{2} + 495830 T^{4} - 329634845 T^{6} + 138753563030 T^{8} - 54269512799733 T^{10} + 21914624432020321 T^{12}$$)($$1 - 2381 T^{2} + 2722038 T^{4} - 1826589333 T^{6} + 761737835958 T^{8} - 186458455954061 T^{10} + 21914624432020321 T^{12}$$)($$1 - 2381 T^{2} + 2722038 T^{4} - 1826589333 T^{6} + 761737835958 T^{8} - 186458455954061 T^{10} + 21914624432020321 T^{12}$$)($$1 - 1744 T^{2} + 1272156 T^{4} - 412076080 T^{6} + 99307893702 T^{8} - 115315782303280 T^{10} + 99623789791135836 T^{12} - 38219105009443439824 T^{14} +$$$$61\!\cdots\!61$$$$T^{16}$$)($$( 1 - 1932 T^{2} + 1484646 T^{4} - 540652812 T^{6} + 78310985281 T^{8} )^{2}$$)($$( 1 - 2490 T^{2} + 3684781 T^{4} - 3742885880 T^{6} + 2879047119218 T^{8} - 1715813859285404 T^{10} + 805675424889084338 T^{12} -$$$$29\!\cdots\!80$$$$T^{14} +$$$$80\!\cdots\!01$$$$T^{16} -$$$$15\!\cdots\!90$$$$T^{18} +$$$$17\!\cdots\!01$$$$T^{20} )^{2}$$)($$( 1 - 10 T - 429 T^{2} - 5290 T^{3} + 279841 T^{4} )^{2}$$)($$( 1 + 18 T - 205 T^{2} + 9522 T^{3} + 279841 T^{4} )^{2}$$)($$( 1 - 10 T - 429 T^{2} - 5290 T^{3} + 279841 T^{4} )^{2}$$)($$( 1 - 8 T - 578 T^{2} + 3328 T^{3} + 98467 T^{4} + 1760512 T^{5} - 161748098 T^{6} - 1184287112 T^{7} + 78310985281 T^{8} )^{4}$$)($$1 - 9 T + 556 T^{2} - 4761 T^{3} + 279841 T^{4}$$)($$( 1 - 23 T + 529 T^{2} )( 1 + 23 T + 529 T^{2} )$$)($$1 + 9 T + 556 T^{2} + 4761 T^{3} + 279841 T^{4}$$)($$( 1 - 23 T + 529 T^{2} )( 1 + 23 T + 529 T^{2} )$$)($$( 1 - 23 T + 529 T^{2} )^{2}( 1 + 23 T + 529 T^{2} )^{2}$$)($$( 1 - 23 T + 529 T^{2} )^{2}( 1 + 23 T + 529 T^{2} )^{2}$$)($$( 1 - 18 T - 205 T^{2} - 9522 T^{3} + 279841 T^{4} )( 1 + 18 T - 205 T^{2} + 9522 T^{3} + 279841 T^{4} )$$)($$( 1 - 23 T + 529 T^{2} )^{2}( 1 + 23 T + 529 T^{2} )^{2}$$)($$1 + 268 T^{2} - 405462 T^{4} - 22082128 T^{6} + 129391640531 T^{8} - 6179484781648 T^{10} - 31752128714004822 T^{12} + 5873119347781446028 T^{14} +$$$$61\!\cdots\!61$$$$T^{16}$$)($$1 + 268 T^{2} - 405462 T^{4} - 22082128 T^{6} + 129391640531 T^{8} - 6179484781648 T^{10} - 31752128714004822 T^{12} + 5873119347781446028 T^{14} +$$$$61\!\cdots\!61$$$$T^{16}$$)($$1 + 2381 T^{2} + 2947123 T^{4} + 2827993812 T^{6} + 2298643835613 T^{8} + 1531108455942719 T^{10} + 862820921151363886 T^{12} +$$$$42\!\cdots\!79$$$$T^{14} +$$$$18\!\cdots\!53$$$$T^{16} +$$$$61\!\cdots\!52$$$$T^{18} +$$$$18\!\cdots\!03$$$$T^{20} +$$$$40\!\cdots\!81$$$$T^{22} +$$$$48\!\cdots\!41$$$$T^{24}$$)($$1 + 693 T^{2} - 15581 T^{4} - 315659500 T^{6} - 121343121715 T^{8} + 25399919636503 T^{10} + 46081428374834798 T^{12} + 7107938910998636023 T^{14} -$$$$95\!\cdots\!15$$$$T^{16} -$$$$69\!\cdots\!00$$$$T^{18} -$$$$95\!\cdots\!41$$$$T^{20} +$$$$11\!\cdots\!93$$$$T^{22} +$$$$48\!\cdots\!41$$$$T^{24}$$)($$( 1 + 1932 T^{2} + 2247978 T^{4} + 1787030448 T^{6} + 1081321527251 T^{8} + 500084387598768 T^{10} + 176041372070011818 T^{12} + 42339054402663260172 T^{14} +$$$$61\!\cdots\!61$$$$T^{16} )^{2}$$)($$1 + 1744 T^{2} + 1769380 T^{4} + 1394487904 T^{6} + 800412311114 T^{8} + 293154906699184 T^{10} + 41608418133156240 T^{12} - 40513926748661757392 T^{14} -$$$$37\!\cdots\!61$$$$T^{16} -$$$$11\!\cdots\!72$$$$T^{18} +$$$$32\!\cdots\!40$$$$T^{20} +$$$$64\!\cdots\!64$$$$T^{22} +$$$$49\!\cdots\!54$$$$T^{24} +$$$$23\!\cdots\!04$$$$T^{26} +$$$$84\!\cdots\!80$$$$T^{28} +$$$$23\!\cdots\!64$$$$T^{30} +$$$$37\!\cdots\!21$$$$T^{32}$$)($$1 + 1744 T^{2} + 1769380 T^{4} + 1394487904 T^{6} + 800412311114 T^{8} + 293154906699184 T^{10} + 41608418133156240 T^{12} - 40513926748661757392 T^{14} -$$$$37\!\cdots\!61$$$$T^{16} -$$$$11\!\cdots\!72$$$$T^{18} +$$$$32\!\cdots\!40$$$$T^{20} +$$$$64\!\cdots\!64$$$$T^{22} +$$$$49\!\cdots\!54$$$$T^{24} +$$$$23\!\cdots\!04$$$$T^{26} +$$$$84\!\cdots\!80$$$$T^{28} +$$$$23\!\cdots\!64$$$$T^{30} +$$$$37\!\cdots\!21$$$$T^{32}$$)($$( 1 + 20 T - 246 T^{2} - 8240 T^{3} - 74125 T^{4} - 4358960 T^{5} - 68840886 T^{6} + 2960717780 T^{7} + 78310985281 T^{8} )^{2}$$)($$( 1 - 12 T - 438 T^{2} + 5712 T^{3} - 17293 T^{4} + 3021648 T^{5} - 122570358 T^{6} - 1776430668 T^{7} + 78310985281 T^{8} )^{2}$$)($$1 + 48 T - 576 T^{2} - 23016 T^{3} + 1930675 T^{4} + 35477076 T^{5} - 1116060912 T^{6} + 1166650260 T^{7} + 1061708855256 T^{8} + 617157987540 T^{9} - 312319601674992 T^{10} + 5251880484780564 T^{11} + 151193061507394675 T^{12} - 953472582093345384 T^{13} - 12622823672843704896 T^{14} +$$$$55\!\cdots\!32$$$$T^{15} +$$$$61\!\cdots\!61$$$$T^{16}$$)($$( 1 - 68 T + 2200 T^{2} - 46216 T^{3} + 518434 T^{4} + 4981604 T^{5} - 469660096 T^{6} + 17360233588 T^{7} - 460253212077 T^{8} + 9183563568052 T^{9} - 131430150924736 T^{10} + 737456176785956 T^{11} + 40599077343169954 T^{12} - 1914567642250002184 T^{13} + 48212173750444706200 T^{14} -$$$$78\!\cdots\!12$$$$T^{15} +$$$$61\!\cdots\!61$$$$T^{16} )^{2}$$)
$29$ ($$( 1 + 32 T + 970 T^{2} + 26912 T^{3} + 707281 T^{4} )^{2}$$)($$( 1 - 32 T + 2730 T^{2} - 70624 T^{3} + 3162594 T^{4} - 59394784 T^{5} + 1930877130 T^{6} - 19034346272 T^{7} + 500246412961 T^{8} )^{2}$$)($$( 1 + 52 T + 1680 T^{2} + 32444 T^{3} + 385694 T^{4} + 27285404 T^{5} + 1188232080 T^{6} + 30930812692 T^{7} + 500246412961 T^{8} )^{2}$$)($$( 1 - 29 T )( 1 + 29 T )$$)($$( 1 - 29 T )^{2}( 1 + 29 T )^{2}$$)($$( 1 - 54 T + 841 T^{2} )( 1 + 54 T + 841 T^{2} )$$)($$1 - 1490 T^{2} + 707281 T^{4}$$)($$1 - 1490 T^{2} + 707281 T^{4}$$)($$( 1 - 29 T )^{2}( 1 + 29 T )^{2}$$)($$( 1 - 29 T )^{2}( 1 + 29 T )^{2}$$)($$( 1 - 1178 T^{2} + 707281 T^{4} )^{2}$$)($$1 - 3662 T^{2} + 6471151 T^{4} - 6858243380 T^{6} + 4576922150431 T^{8} - 1831902364263182 T^{10} + 353814783205469041 T^{12}$$)($$1 - 3662 T^{2} + 6471151 T^{4} - 6858243380 T^{6} + 4576922150431 T^{8} - 1831902364263182 T^{10} + 353814783205469041 T^{12}$$)($$1 - 1838 T^{2} + 2723567 T^{4} - 2423469812 T^{6} + 1926327191327 T^{8} - 919452907022318 T^{10} + 353814783205469041 T^{12}$$)($$1 - 1838 T^{2} + 2723567 T^{4} - 2423469812 T^{6} + 1926327191327 T^{8} - 919452907022318 T^{10} + 353814783205469041 T^{12}$$)($$1 - 3384 T^{2} + 6555580 T^{4} - 8754768776 T^{6} + 8490907402822 T^{8} - 6192081614658056 T^{10} + 3279405379878872380 T^{12} -$$$$11\!\cdots\!44$$$$T^{14} +$$$$25\!\cdots\!21$$$$T^{16}$$)($$( 1 - 324 T^{2} - 656346 T^{4} - 229159044 T^{6} + 500246412961 T^{8} )^{2}$$)($$( 1 - 2130 T^{2} + 2634221 T^{4} - 2275955448 T^{6} + 1538443372002 T^{8} - 1198447226362348 T^{10} + 1088111766592946562 T^{12} -$$$$11\!\cdots\!28$$$$T^{14} +$$$$93\!\cdots\!61$$$$T^{16} -$$$$53\!\cdots\!30$$$$T^{18} +$$$$17\!\cdots\!01$$$$T^{20} )^{2}$$)($$( 1 - 29 T )^{4}( 1 + 29 T )^{4}$$)($$( 1 - 54 T + 841 T^{2} )^{2}( 1 + 54 T + 841 T^{2} )^{2}$$)($$( 1 - 29 T )^{4}( 1 + 29 T )^{4}$$)($$( 1 - 1444 T^{2} + 1048038 T^{4} - 1021313764 T^{6} + 500246412961 T^{8} )^{4}$$)($$1 - 1490 T^{2} + 707281 T^{4}$$)($$( 1 - 29 T )^{2}( 1 + 29 T )^{2}$$)($$1 - 1490 T^{2} + 707281 T^{4}$$)($$( 1 - 29 T )^{2}( 1 + 29 T )^{2}$$)($$( 1 - 29 T )^{4}( 1 + 29 T )^{4}$$)($$( 1 - 29 T )^{4}( 1 + 29 T )^{4}$$)($$( 1 - 54 T + 841 T^{2} )^{2}( 1 + 54 T + 841 T^{2} )^{2}$$)($$( 1 - 29 T )^{4}( 1 + 29 T )^{4}$$)($$( 1 - 1178 T^{2} + 707281 T^{4} )^{4}$$)($$( 1 - 1178 T^{2} + 707281 T^{4} )^{4}$$)($$( 1 - 1838 T^{2} + 2723567 T^{4} - 2423469812 T^{6} + 1926327191327 T^{8} - 919452907022318 T^{10} + 353814783205469041 T^{12} )^{2}$$)($$( 1 - 3662 T^{2} + 6471151 T^{4} - 6858243380 T^{6} + 4576922150431 T^{8} - 1831902364263182 T^{10} + 353814783205469041 T^{12} )^{2}$$)($$( 1 - 324 T^{2} - 656346 T^{4} - 229159044 T^{6} + 500246412961 T^{8} )^{4}$$)($$( 1 - 3384 T^{2} + 6555580 T^{4} - 8754768776 T^{6} + 8490907402822 T^{8} - 6192081614658056 T^{10} + 3279405379878872380 T^{12} -$$$$11\!\cdots\!44$$$$T^{14} +$$$$25\!\cdots\!21$$$$T^{16} )^{2}$$)($$( 1 - 3384 T^{2} + 6555580 T^{4} - 8754768776 T^{6} + 8490907402822 T^{8} - 6192081614658056 T^{10} + 3279405379878872380 T^{12} -$$$$11\!\cdots\!44$$$$T^{14} +$$$$25\!\cdots\!21$$$$T^{16} )^{2}$$)($$( 1 + 32 T + 970 T^{2} + 26912 T^{3} + 707281 T^{4} )^{4}$$)($$( 1 - 52 T + 2230 T^{2} - 43732 T^{3} + 707281 T^{4} )^{4}$$)($$( 1 + 52 T + 1680 T^{2} + 32444 T^{3} + 385694 T^{4} + 27285404 T^{5} + 1188232080 T^{6} + 30930812692 T^{7} + 500246412961 T^{8} )^{2}$$)($$( 1 - 32 T + 2730 T^{2} - 70624 T^{3} + 3162594 T^{4} - 59394784 T^{5} + 1930877130 T^{6} - 19034346272 T^{7} + 500246412961 T^{8} )^{4}$$)
$31$ ($$1 + 540 T^{2} + 1882950 T^{4} + 498701340 T^{6} + 852891037441 T^{8}$$)($$1 - 3752 T^{2} + 7579740 T^{4} - 10747218328 T^{6} + 11717307520454 T^{8} - 9925281817492888 T^{10} + 6464692312133045340 T^{12} -$$$$29\!\cdots\!72$$$$T^{14} +$$$$72\!\cdots\!81$$$$T^{16}$$)($$1 - 2512 T^{2} + 3445770 T^{4} - 3989894576 T^{6} + 4279471479035 T^{8} - 3684751428722096 T^{10} + 2938866350083074570 T^{12} -$$$$19\!\cdots\!32$$$$T^{14} +$$$$72\!\cdots\!81$$$$T^{16}$$)($$( 1 - 31 T )( 1 + 31 T )$$)($$( 1 - 31 T )^{2}( 1 + 31 T )^{2}$$)($$( 1 - 31 T )^{2}( 1 + 31 T )^{2}$$)($$1 - 839 T^{2} + 923521 T^{4}$$)($$1 - 839 T^{2} + 923521 T^{4}$$)($$( 1 - 31 T )^{2}( 1 + 31 T )^{2}$$)($$( 1 - 31 T )^{2}( 1 + 31 T )^{2}$$)($$1 - 1380 T^{2} + 1419974 T^{4} - 1274458980 T^{6} + 852891037441 T^{8}$$)($$1 - 3561 T^{2} + 6841842 T^{4} - 8041403549 T^{6} + 6318584765682 T^{8} - 3037144984327401 T^{10} + 787662783788549761 T^{12}$$)($$1 - 3561 T^{2} + 6841842 T^{4} - 8041403549 T^{6} + 6318584765682 T^{8} - 3037144984327401 T^{10} + 787662783788549761 T^{12}$$)($$1 - 3329 T^{2} + 6450354 T^{4} - 7498694485 T^{6} + 5957037376434 T^{8} - 2839274263641089 T^{10} + 787662783788549761 T^{12}$$)($$1 - 3329 T^{2} + 6450354 T^{4} - 7498694485 T^{6} + 5957037376434 T^{8} - 2839274263641089 T^{10} + 787662783788549761 T^{12}$$)($$1 - 3944 T^{2} + 8438620 T^{4} - 12447428312 T^{6} + 13694235978694 T^{8} - 11495461442126552 T^{10} + 7197223366370371420 T^{12} -$$$$31\!\cdots\!84$$$$T^{14} +$$$$72\!\cdots\!81$$$$T^{16}$$)($$( 1 - 1092 T^{2} + 652166 T^{4} - 1008484932 T^{6} + 852891037441 T^{8} )^{2}$$)($$( 1 - 3306 T^{2} + 6748205 T^{4} - 9709687288 T^{6} + 11746511681618 T^{8} - 11974901276004412 T^{10} + 10848150214719536978 T^{12} -$$$$82\!\cdots\!08$$$$T^{14} +$$$$53\!\cdots\!05$$$$T^{16} -$$$$24\!\cdots\!86$$$$T^{18} +$$$$67\!\cdots\!01$$$$T^{20} )^{2}$$)($$( 1 - 31 T + 961 T^{2} )^{2}( 1 + 31 T + 961 T^{2} )^{2}$$)($$( 1 - 31 T + 961 T^{2} )^{2}( 1 + 31 T + 961 T^{2} )^{2}$$)($$( 1 - 31 T + 961 T^{2} )^{2}( 1 + 31 T + 961 T^{2} )^{2}$$)($$( 1 - 140 T^{2} - 1186454 T^{4} + 89738320 T^{6} + 583574201875 T^{8} + 82875223024720 T^{10} - 1011915982936024214 T^{12} -$$$$11\!\cdots\!40$$$$T^{14} +$$$$72\!\cdots\!81$$$$T^{16} )^{2}$$)($$1 + 57 T + 2044 T^{2} + 54777 T^{3} + 923521 T^{4}$$)($$( 1 - 31 T + 961 T^{2} )( 1 + 31 T + 961 T^{2} )$$)($$1 - 57 T + 2044 T^{2} - 54777 T^{3} + 923521 T^{4}$$)($$( 1 - 31 T + 961 T^{2} )( 1 + 31 T + 961 T^{2} )$$)($$( 1 - 31 T + 961 T^{2} )^{2}( 1 + 31 T + 961 T^{2} )^{2}$$)($$( 1 - 31 T + 961 T^{2} )^{2}( 1 + 31 T + 961 T^{2} )^{2}$$)($$( 1 - 31 T + 961 T^{2} )^{2}( 1 + 31 T + 961 T^{2} )^{2}$$)($$( 1 - 31 T + 961 T^{2} )^{2}( 1 + 31 T + 961 T^{2} )^{2}$$)($$1 + 1380 T^{2} + 484426 T^{4} - 589353840 T^{6} - 595318269165 T^{8} - 544280647670640 T^{10} + 413162593703393866 T^{12} +$$$$10\!\cdots\!80$$$$T^{14} +$$$$72\!\cdots\!81$$$$T^{16}$$)($$1 + 1380 T^{2} + 484426 T^{4} - 589353840 T^{6} - 595318269165 T^{8} - 544280647670640 T^{10} + 413162593703393866 T^{12} +$$$$10\!\cdots\!80$$$$T^{14} +$$$$72\!\cdots\!81$$$$T^{16}$$)($$1 + 3329 T^{2} + 4631887 T^{4} + 6475839496 T^{6} + 10686875408317 T^{8} + 11546553377441207 T^{10} + 9928800654054771830 T^{12} +$$$$10\!\cdots\!47$$$$T^{14} +$$$$91\!\cdots\!97$$$$T^{16} +$$$$51\!\cdots\!56$$$$T^{18} +$$$$33\!\cdots\!47$$$$T^{20} +$$$$22\!\cdots\!29$$$$T^{22} +$$$$62\!\cdots\!21$$$$T^{24}$$)($$1 + 3561 T^{2} + 5838879 T^{4} + 8280992264 T^{6} + 11856779149293 T^{8} + 13054196823637455 T^{10} + 12193464685853753718 T^{12} +$$$$12\!\cdots\!55$$$$T^{14} +$$$$10\!\cdots\!13$$$$T^{16} +$$$$65\!\cdots\!04$$$$T^{18} +$$$$42\!\cdots\!99$$$$T^{20} +$$$$23\!\cdots\!61$$$$T^{22} +$$$$62\!\cdots\!21$$$$T^{24}$$)($$( 1 + 1092 T^{2} + 540298 T^{4} - 1304804592 T^{6} - 1528836091629 T^{8} - 1205014441608432 T^{10} + 460815321747297418 T^{12} +$$$$86\!\cdots\!12$$$$T^{14} +$$$$72\!\cdots\!81$$$$T^{16} )^{2}$$)($$1 + 3944 T^{2} + 7116516 T^{4} + 8387060656 T^{6} + 8423414263178 T^{8} + 8514445544397720 T^{10} + 8434364772846028816 T^{12} +$$$$79\!\cdots\!12$$$$T^{14} +$$$$74\!\cdots\!23$$$$T^{16} +$$$$73\!\cdots\!52$$$$T^{18} +$$$$71\!\cdots\!56$$$$T^{20} +$$$$67\!\cdots\!20$$$$T^{22} +$$$$61\!\cdots\!18$$$$T^{24} +$$$$56\!\cdots\!56$$$$T^{26} +$$$$44\!\cdots\!36$$$$T^{28} +$$$$22\!\cdots\!04$$$$T^{30} +$$$$52\!\cdots\!61$$$$T^{32}$$)($$1 + 3944 T^{2} + 7116516 T^{4} + 8387060656 T^{6} + 8423414263178 T^{8} + 8514445544397720 T^{10} + 8434364772846028816 T^{12} +$$$$79\!\cdots\!12$$$$T^{14} +$$$$74\!\cdots\!23$$$$T^{16} +$$$$73\!\cdots\!52$$$$T^{18} +$$$$71\!\cdots\!56$$$$T^{20} +$$$$67\!\cdots\!20$$$$T^{22} +$$$$61\!\cdots\!18$$$$T^{24} +$$$$56\!\cdots\!56$$$$T^{26} +$$$$44\!\cdots\!36$$$$T^{28} +$$$$22\!\cdots\!04$$$$T^{30} +$$$$52\!\cdots\!61$$$$T^{32}$$)($$1 - 540 T^{2} - 1591350 T^{4} - 19390320 T^{6} + 2423310941459 T^{8} - 17907367716720 T^{10} - 1357248152431735350 T^{12} -$$$$42\!\cdots\!40$$$$T^{14} +$$$$72\!\cdots\!81$$$$T^{16}$$)($$1 + 3332 T^{2} + 6512394 T^{4} + 9138969616 T^{6} + 9960511380755 T^{8} + 8440030358737936 T^{10} + 5554362474884543754 T^{12} +$$$$26\!\cdots\!52$$$$T^{14} +$$$$72\!\cdots\!81$$$$T^{16}$$)($$1 + 156 T + 13424 T^{2} + 828672 T^{3} + 40603131 T^{4} + 1696628940 T^{5} + 63304318432 T^{6} + 2173306236072 T^{7} + 69665997781640 T^{8} + 2088547292865192 T^{9} + 58462867462639072 T^{10} + 1505764429541128140 T^{11} + 34630046521942827771 T^{12} +$$$$67\!\cdots\!72$$$$T^{13} +$$$$10\!\cdots\!64$$$$T^{14} +$$$$11\!\cdots\!76$$$$T^{15} +$$$$72\!\cdots\!81$$$$T^{16}$$)($$1 + 3752 T^{2} + 6497764 T^{4} + 6944747824 T^{6} + 5411587780490 T^{8} + 3459726833480792 T^{10} + 2378284529645888528 T^{12} +$$$$26\!\cdots\!24$$$$T^{14} +$$$$30\!\cdots\!59$$$$T^{16} +$$$$24\!\cdots\!04$$$$T^{18} +$$$$20\!\cdots\!48$$$$T^{20} +$$$$27\!\cdots\!12$$$$T^{22} +$$$$39\!\cdots\!90$$$$T^{24} +$$$$46\!\cdots\!24$$$$T^{26} +$$$$40\!\cdots\!44$$$$T^{28} +$$$$21\!\cdots\!32$$$$T^{30} +$$$$52\!\cdots\!61$$$$T^{32}$$)
$37$ ($$( 1 - 96 T + 5010 T^{2} - 131424 T^{3} + 1874161 T^{4} )^{2}$$)($$( 1 + 32 T + 4562 T^{2} + 136096 T^{3} + 8743522 T^{4} + 186315424 T^{5} + 8549922482 T^{6} + 82103245088 T^{7} + 3512479453921 T^{8} )^{2}$$)($$( 1 + 68 T + 3850 T^{2} + 134000 T^{3} + 5172787 T^{4} + 183446000 T^{5} + 7215519850 T^{6} + 174469395812 T^{7} + 3512479453921 T^{8} )^{2}$$)($$( 1 - 37 T )( 1 + 37 T )$$)($$( 1 - 37 T )^{2}( 1 + 37 T )^{2}$$)($$( 1 - 38 T + 1369 T^{2} )( 1 + 38 T + 1369 T^{2} )$$)($$1 - 2663 T^{2} + 1874161 T^{4}$$)($$1 - 2663 T^{2} + 1874161 T^{4}$$)($$( 1 - 37 T )^{2}( 1 + 37 T )^{2}$$)($$( 1 - 37 T )^{2}( 1 + 37 T )^{2}$$)($$1 - 1780 T^{2} + 2031622 T^{4} - 3336006580 T^{6} + 3512479453921 T^{8}$$)($$1 - 5785 T^{2} + 15576398 T^{4} - 26031024189 T^{6} + 29192677652078 T^{8} - 20319693640932985 T^{10} + 6582952005840035281 T^{12}$$)($$1 - 5785 T^{2} + 15576398 T^{4} - 26031024189 T^{6} + 29192677652078 T^{8} - 20319693640932985 T^{10} + 6582952005840035281 T^{12}$$)($$1 - 6401 T^{2} + 18881406 T^{4} - 32764366581 T^{6} + 35386794750366 T^{8} - 22483380984548321 T^{10} + 6582952005840035281 T^{12}$$)($$1 - 6401 T^{2} + 18881406 T^{4} - 32764366581 T^{6} + 35386794750366 T^{8} - 22483380984548321 T^{10} + 6582952005840035281 T^{12}$$)($$1 - 3512 T^{2} + 9188668 T^{4} - 18622781448 T^{6} + 27544347275206 T^{8} - 34902090701365128 T^{10} + 32275007558901367228 T^{12} -$$$$23\!\cdots\!72$$$$T^{14} +$$$$12\!\cdots\!41$$$$T^{16}$$)($$( 1 - 1668 T^{2} + 2076390 T^{4} - 3126100548 T^{6} + 3512479453921 T^{8} )^{2}$$)($$( 1 - 4370 T^{2} + 13758221 T^{4} - 30480464888 T^{6} + 55466951400162 T^{8} - 82248927471525740 T^{10} +$$$$10\!\cdots\!82$$$$T^{12} -$$$$10\!\cdots\!48$$$$T^{14} +$$$$90\!\cdots\!01$$$$T^{16} -$$$$53\!\cdots\!70$$$$T^{18} +$$$$23\!\cdots\!01$$$$T^{20} )^{2}$$)($$( 1 - 37 T + 1369 T^{2} )^{2}( 1 + 37 T + 1369 T^{2} )^{2}$$)($$( 1 - 38 T + 75 T^{2} - 52022 T^{3} + 1874161 T^{4} )( 1 + 38 T + 75 T^{2} + 52022 T^{3} + 1874161 T^{4} )$$)($$( 1 - 37 T + 1369 T^{2} )^{2}( 1 + 37 T + 1369 T^{2} )^{2}$$)($$( 1 + 4612 T^{2} + 12315178 T^{4} + 24014886928 T^{6} + 36821676726451 T^{8} + 45007764499867408 T^{10} + 43256809696379912938 T^{12} +$$$$30\!\cdots\!72$$$$T^{14} +$$$$12\!\cdots\!41$$$$T^{16} )^{2}$$)($$1 - 15 T + 1444 T^{2} - 20535 T^{3} + 1874161 T^{4}$$)($$( 1 - 37 T + 1369 T^{2} )( 1 + 37 T + 1369 T^{2} )$$)($$1 + 15 T + 1444 T^{2} + 20535 T^{3} + 1874161 T^{4}$$)($$( 1 - 37 T + 1369 T^{2} )( 1 + 37 T + 1369 T^{2} )$$)($$( 1 - 37 T + 1369 T^{2} )^{2}( 1 + 37 T + 1369 T^{2} )^{2}$$)($$( 1 - 37 T + 1369 T^{2} )^{2}( 1 + 37 T + 1369 T^{2} )^{2}$$)($$( 1 - 38 T + 75 T^{2} - 52022 T^{3} + 1874161 T^{4} )( 1 + 38 T + 75 T^{2} + 52022 T^{3} + 1874161 T^{4} )$$)($$( 1 - 37 T + 1369 T^{2} )^{2}( 1 + 37 T + 1369 T^{2} )^{2}$$)($$1 + 1780 T^{2} + 1136778 T^{4} - 3055726000 T^{6} - 5323083215437 T^{8} - 5726922495886000 T^{10} + 3992909368669406538 T^{12} +$$$$11\!\cdots\!80$$$$T^{14} +$$$$12\!\cdots\!41$$$$T^{16}$$)($$1 + 1780 T^{2} + 1136778 T^{4} - 3055726000 T^{6} - 5323083215437 T^{8} - 5726922495886000 T^{10} + 3992909368669406538 T^{12} +$$$$11\!\cdots\!80$$$$T^{14} +$$$$12\!\cdots\!41$$$$T^{16}$$)($$1 + 6401 T^{2} + 22091395 T^{4} + 55331146644 T^{6} + 111395987301489 T^{8} + 188098942339055675 T^{10} +$$$$27\!\cdots\!06$$$$T^{12} +$$$$35\!\cdots\!75$$$$T^{14} +$$$$39\!\cdots\!69$$$$T^{16} +$$$$36\!\cdots\!64$$$$T^{18} +$$$$27\!\cdots\!95$$$$T^{20} +$$$$14\!\cdots\!01$$$$T^{22} +$$$$43\!\cdots\!61$$$$T^{24}$$)($$1 + 5785 T^{2} + 17889827 T^{4} + 38047414052 T^{6} + 62842022068961 T^{8} + 88030006321881747 T^{10} +$$$$11\!\cdots\!14$$$$T^{12} +$$$$16\!\cdots\!67$$$$T^{14} +$$$$22\!\cdots\!81$$$$T^{16} +$$$$25\!\cdots\!12$$$$T^{18} +$$$$22\!\cdots\!07$$$$T^{20} +$$$$13\!\cdots\!85$$$$T^{22} +$$$$43\!\cdots\!61$$$$T^{24}$$)($$( 1 + 1668 T^{2} + 705834 T^{4} - 2788782576 T^{6} - 4415419735885 T^{8} - 5226627541418736 T^{10} + 2479227422878875114 T^{12} +$$$$10\!\cdots\!08$$$$T^{14} +$$$$12\!\cdots\!41$$$$T^{16} )^{2}$$)($$1 + 3512 T^{2} + 3145476 T^{4} - 4974960880 T^{6} - 8515936106358 T^{8} + 12549151402549448 T^{10} + 35685999046008816016 T^{12} +$$$$80\!\cdots\!88$$$$T^{14} -$$$$37\!\cdots\!25$$$$T^{16} +$$$$15\!\cdots\!68$$$$T^{18} +$$$$12\!\cdots\!36$$$$T^{20} +$$$$82\!\cdots\!88$$$$T^{22} -$$$$10\!\cdots\!78$$$$T^{24} -$$$$11\!\cdots\!80$$$$T^{26} +$$$$13\!\cdots\!36$$$$T^{28} +$$$$28\!\cdots\!52$$$$T^{30} +$$$$15\!\cdots\!81$$$$T^{32}$$)($$1 + 3512 T^{2} + 3145476 T^{4} - 4974960880 T^{6} - 8515936106358 T^{8} + 12549151402549448 T^{10} + 35685999046008816016 T^{12} +$$$$80\!\cdots\!88$$$$T^{14} -$$$$37\!\cdots\!25$$$$T^{16} +$$$$15\!\cdots\!68$$$$T^{18} +$$$$12\!\cdots\!36$$$$T^{20} +$$$$82\!\cdots\!88$$$$T^{22} -$$$$10\!\cdots\!78$$$$T^{24} -$$$$11\!\cdots\!80$$$$T^{26} +$$$$13\!\cdots\!36$$$$T^{28} +$$$$28\!\cdots\!52$$$$T^{30} +$$$$15\!\cdots\!81$$$$T^{32}$$)($$( 1 + 96 T + 4206 T^{2} + 218112 T^{3} + 10609235 T^{4} + 298595328 T^{5} + 7882721166 T^{6} + 246309735264 T^{7} + 3512479453921 T^{8} )^{2}$$)($$( 1 + 20 T - 1286 T^{2} - 21040 T^{3} + 420835 T^{4} - 28803760 T^{5} - 2410171046 T^{6} + 51314528180 T^{7} + 3512479453921 T^{8} )^{2}$$)($$1 - 68 T + 774 T^{2} + 6200 T^{3} + 537713 T^{4} + 4153032 T^{5} - 2518250 T^{6} + 54255996388 T^{7} - 5388431698620 T^{8} + 74276459055172 T^{9} - 4719605938250 T^{10} + 10655543879822088 T^{11} + 1888705864606222673 T^{12} + 29813223108990663800 T^{13} +$$$$50\!\cdots\!94$$$$T^{14} -$$$$61\!\cdots\!52$$$$T^{15} +$$$$12\!\cdots\!41$$$$T^{16}$$)($$( 1 - 32 T - 3538 T^{2} + 126208 T^{3} + 7713250 T^{4} - 247599968 T^{5} - 10228074752 T^{6} + 154282793952 T^{7} + 13829774888607 T^{8} + 211213144920288 T^{9} - 19169058805283072 T^{10} - 635273776765154912 T^{11} + 27092632147956153250 T^{12} +$$$$60\!\cdots\!92$$$$T^{13} -$$$$23\!\cdots\!78$$$$T^{14} -$$$$28\!\cdots\!48$$$$T^{15} +$$$$12\!\cdots\!41$$$$T^{16} )^{2}$$)
$41$ ($$1 - 1760 T^{2} + 4699840 T^{4} - 4973339360 T^{6} + 7984925229121 T^{8}$$)($$1 - 7456 T^{2} + 26104192 T^{4} - 58976938272 T^{6} + 105923538141314 T^{8} - 166654732068424992 T^{10} +$$$$20\!\cdots\!32$$$$T^{12} -$$$$16\!\cdots\!36$$$$T^{14} +$$$$63\!\cdots\!41$$$$T^{16}$$)($$1 - 7680 T^{2} + 32658684 T^{4} - 90843217920 T^{6} + 180014993441414 T^{8} - 256701222312837120 T^{10} +$$$$26\!\cdots\!64$$$$T^{12} -$$$$17\!\cdots\!80$$$$T^{14} +$$$$63\!\cdots\!41$$$$T^{16}$$)($$1 - 46 T + 1681 T^{2}$$)($$1 - 1246 T^{2} + 2825761 T^{4}$$)($$( 1 + 1681 T^{2} )^{2}$$)($$( 1 + 26 T + 1681 T^{2} )^{2}$$)($$( 1 - 26 T + 1681 T^{2} )^{2}$$)($$1 - 96 T + 4608 T^{2} - 161376 T^{3} + 2825761 T^{4}$$)($$1 + 96 T + 4608 T^{2} + 161376 T^{3} + 2825761 T^{4}$$)($$( 1 - 20 T + 3174 T^{2} - 33620 T^{3} + 2825761 T^{4} )^{2}$$)($$( 1 - 58 T + 3139 T^{2} - 88960 T^{3} + 5276659 T^{4} - 163894138 T^{5} + 4750104241 T^{6} )^{2}$$)($$( 1 + 58 T + 3139 T^{2} + 88960 T^{3} + 5276659 T^{4} + 163894138 T^{5} + 4750104241 T^{6} )^{2}$$)($$( 1 - 30 T + 4755 T^{2} - 100496 T^{3} + 7993155 T^{4} - 84772830 T^{5} + 4750104241 T^{6} )^{2}$$)($$( 1 + 30 T + 4755 T^{2} + 100496 T^{3} + 7993155 T^{4} + 84772830 T^{5} + 4750104241 T^{6} )^{2}$$)($$( 1 + 64 T + 4956 T^{2} + 221760 T^{3} + 11848326 T^{4} + 372778560 T^{5} + 14004471516 T^{6} + 304006671424 T^{7} + 7984925229121 T^{8} )^{2}$$)($$( 1 + 2436 T^{2} + 3692358 T^{4} + 6883553796 T^{6} + 7984925229121 T^{8} )^{2}$$)($$( 1 + 8928 T^{2} + 34671397 T^{4} + 77077017472 T^{6} + 116142925766666 T^{8} + 168493784446079296 T^{10} +$$$$32\!\cdots\!26$$$$T^{12} +$$$$61\!\cdots\!12$$$$T^{14} +$$$$78\!\cdots\!57$$$$T^{16} +$$$$56\!\cdots\!48$$$$T^{18} +$$$$18\!\cdots\!01$$$$T^{20} )^{2}$$)($$( 1 - 41 T )^{4}( 1 + 41 T )^{4}$$)($$( 1 - 41 T )^{4}( 1 + 41 T )^{4}$$)($$( 1 - 41 T )^{4}( 1 + 41 T )^{4}$$)($$( 1 - 5380 T^{2} + 12875334 T^{4} - 15202594180 T^{6} + 7984925229121 T^{8} )^{4}$$)($$( 1 + 26 T + 1681 T^{2} )^{2}$$)($$( 1 - 46 T + 1681 T^{2} )^{2}$$)($$( 1 + 26 T + 1681 T^{2} )^{2}$$)($$( 1 + 46 T + 1681 T^{2} )^{2}$$)($$( 1 + 96 T + 4608 T^{2} + 161376 T^{3} + 2825761 T^{4} )^{2}$$)($$( 1 - 96 T + 4608 T^{2} - 161376 T^{3} + 2825761 T^{4} )^{2}$$)($$( 1 + 1681 T^{2} )^{4}$$)($$( 1 - 1246 T^{2} + 2825761 T^{4} )^{2}$$)($$( 1 + 20 T + 3174 T^{2} + 33620 T^{3} + 2825761 T^{4} )^{4}$$)($$( 1 - 20 T + 3174 T^{2} - 33620 T^{3} + 2825761 T^{4} )^{4}$$)($$( 1 + 30 T + 4755 T^{2} + 100496 T^{3} + 7993155 T^{4} + 84772830 T^{5} + 4750104241 T^{6} )^{4}$$)($$( 1 - 58 T + 3139 T^{2} - 88960 T^{3} + 5276659 T^{4} - 163894138 T^{5} + 4750104241 T^{6} )^{4}$$)($$( 1 + 2436 T^{2} + 3692358 T^{4} + 6883553796 T^{6} + 7984925229121 T^{8} )^{4}$$)($$( 1 + 64 T + 4956 T^{2} + 221760 T^{3} + 11848326 T^{4} + 372778560 T^{5} + 14004471516 T^{6} + 304006671424 T^{7} + 7984925229121 T^{8} )^{4}$$)($$( 1 - 64 T + 4956 T^{2} - 221760 T^{3} + 11848326 T^{4} - 372778560 T^{5} + 14004471516 T^{6} - 304006671424 T^{7} + 7984925229121 T^{8} )^{4}$$)($$( 1 - 1760 T^{2} + 4699840 T^{4} - 4973339360 T^{6} + 7984925229121 T^{8} )^{2}$$)($$( 1 - 1284 T^{2} + 1246278 T^{4} - 3628277124 T^{6} + 7984925229121 T^{8} )^{2}$$)($$1 - 7680 T^{2} + 32658684 T^{4} - 90843217920 T^{6} + 180014993441414 T^{8} - 256701222312837120 T^{10} +$$$$26\!\cdots\!64$$$$T^{12} -$$$$17\!\cdots\!80$$$$T^{14} +$$$$63\!\cdots\!41$$$$T^{16}$$)($$( 1 - 7456 T^{2} + 26104192 T^{4} - 58976938272 T^{6} + 105923538141314 T^{8} - 166654732068424992 T^{10} +$$$$20\!\cdots\!32$$$$T^{12} -$$$$16\!\cdots\!36$$$$T^{14} +$$$$63\!\cdots\!41$$$$T^{16} )^{2}$$)
$43$ ($$( 1 + 52 T + 4324 T^{2} + 96148 T^{3} + 3418801 T^{4} )^{2}$$)($$( 1 - 68 T + 5798 T^{2} - 331580 T^{3} + 14499498 T^{4} - 613091420 T^{5} + 19822208198 T^{6} - 429852687332 T^{7} + 11688200277601 T^{8} )^{2}$$)($$( 1 - 80 T + 6004 T^{2} - 239120 T^{3} + 12298678 T^{4} - 442132880 T^{5} + 20526481204 T^{6} - 505709043920 T^{7} + 11688200277601 T^{8} )^{2}$$)($$1 - 14 T + 1849 T^{2}$$)($$( 1 + 14 T + 1849 T^{2} )^{2}$$)($$( 1 + 58 T + 1849 T^{2} )^{2}$$)($$( 1 - 14 T + 1849 T^{2} )^{2}$$)($$( 1 - 14 T + 1849 T^{2} )^{2}$$)($$1 - 3502 T^{2} + 3418801 T^{4}$$)($$1 - 3502 T^{2} + 3418801 T^{4}$$)($$( 1 + 40 T + 4090 T^{2} + 73960 T^{3} + 3418801 T^{4} )^{2}$$)($$( 1 + 50 T + 4047 T^{2} + 107900 T^{3} + 7482903 T^{4} + 170940050 T^{5} + 6321363049 T^{6} )^{2}$$)($$( 1 + 50 T + 4047 T^{2} + 107900 T^{3} + 7482903 T^{4} + 170940050 T^{5} + 6321363049 T^{6} )^{2}$$)($$( 1 - 10 T + 3855 T^{2} - 53388 T^{3} + 7127895 T^{4} - 34188010 T^{5} + 6321363049 T^{6} )^{2}$$)($$( 1 - 10 T + 3855 T^{2} - 53388 T^{3} + 7127895 T^{4} - 34188010 T^{5} + 6321363049 T^{6} )^{2}$$)($$( 1 + 4680 T^{2} - 58016 T^{3} + 10251086 T^{4} - 107271584 T^{5} + 15999988680 T^{6} + 11688200277601 T^{8} )^{2}$$)($$( 1 - 80 T + 5170 T^{2} - 147920 T^{3} + 3418801 T^{4} )^{4}$$)($$( 1 - 24 T + 2793 T^{2} + 61280 T^{3} + 4230942 T^{4} + 146477936 T^{5} + 7823011758 T^{6} + 209504125280 T^{7} + 17655566995857 T^{8} - 280516806662424 T^{9} + 21611482313284249 T^{10} )^{4}$$)($$( 1 - 43 T )^{4}( 1 + 43 T )^{4}$$)($$( 1 - 58 T + 1849 T^{2} )^{2}( 1 + 58 T + 1849 T^{2} )^{2}$$)($$( 1 - 43 T )^{4}( 1 + 43 T )^{4}$$)($$( 1 - 1324 T^{2} + 5788998 T^{4} - 4526492524 T^{6} + 11688200277601 T^{8} )^{4}$$)($$( 1 - 14 T + 1849 T^{2} )^{2}$$)($$( 1 - 14 T + 1849 T^{2} )^{2}$$)($$( 1 - 14 T + 1849 T^{2} )^{2}$$)($$( 1 - 14 T + 1849 T^{2} )^{2}$$)($$( 1 - 3502 T^{2} + 3418801 T^{4} )^{2}$$)($$( 1 - 3502 T^{2} + 3418801 T^{4} )^{2}$$)($$( 1 + 58 T + 1849 T^{2} )^{4}$$)($$( 1 + 14 T + 1849 T^{2} )^{4}$$)($$( 1 + 40 T + 4090 T^{2} + 73960 T^{3} + 3418801 T^{4} )^{4}$$)($$( 1 + 40 T + 4090 T^{2} + 73960 T^{3} + 3418801 T^{4} )^{4}$$)($$( 1 - 10 T + 3855 T^{2} - 53388 T^{3} + 7127895 T^{4} - 34188010 T^{5} + 6321363049 T^{6} )^{4}$$)($$( 1 + 50 T + 4047 T^{2} + 107900 T^{3} + 7482903 T^{4} + 170940050 T^{5} + 6321363049 T^{6} )^{4}$$)($$( 1 - 80 T + 5170 T^{2} - 147920 T^{3} + 3418801 T^{4} )^{8}$$)($$( 1 + 4680 T^{2} - 58016 T^{3} + 10251086 T^{4} - 107271584 T^{5} + 15999988680 T^{6} + 11688200277601 T^{8} )^{4}$$)($$( 1 + 4680 T^{2} - 58016 T^{3} + 10251086 T^{4} - 107271584 T^{5} + 15999988680 T^{6} + 11688200277601 T^{8} )^{4}$$)($$( 1 + 52 T + 4324 T^{2} + 96148 T^{3} + 3418801 T^{4} )^{4}$$)($$( 1 + 46 T + 1849 T^{2} )^{8}$$)($$( 1 - 80 T + 6004 T^{2} - 239120 T^{3} + 12298678 T^{4} - 442132880 T^{5} + 20526481204 T^{6} - 505709043920 T^{7} + 11688200277601 T^{8} )^{2}$$)($$( 1 - 68 T + 5798 T^{2} - 331580 T^{3} + 14499498 T^{4} - 613091420 T^{5} + 19822208198 T^{6} - 429852687332 T^{7} + 11688200277601 T^{8} )^{4}$$)
$47$ ($$1 - 4404 T^{2} + 10298118 T^{4} - 21490115124 T^{6} + 23811286661761 T^{8}$$)($$1 - 7864 T^{2} + 34502492 T^{4} - 107508647688 T^{6} + 266570146995654 T^{8} - 524607905458827528 T^{10} +$$$$82\!\cdots\!12$$$$T^{12} -$$$$91\!\cdots\!24$$$$T^{14} +$$$$56\!\cdots\!21$$$$T^{16}$$)($$1 - 11584 T^{2} + 63056538 T^{4} - 218889297296 T^{6} + 553934619169163 T^{8} - 1068109945118642576 T^{10} +$$$$15\!\cdots\!18$$$$T^{12} -$$$$13\!\cdots\!44$$$$T^{14} +$$$$56\!\cdots\!21$$$$T^{16}$$)($$( 1 - 47 T )( 1 + 47 T )$$)($$( 1 - 47 T )^{2}( 1 + 47 T )^{2}$$)($$( 1 - 47 T )^{2}( 1 + 47 T )^{2}$$)($$1 - 1895 T^{2} + 4879681 T^{4}$$)($$1 - 1895 T^{2} + 4879681 T^{4}$$)($$( 1 - 47 T )^{2}( 1 + 47 T )^{2}$$)($$( 1 - 47 T )^{2}( 1 + 47 T )^{2}$$)($$1 - 7492 T^{2} + 23390470 T^{4} - 36558570052 T^{6} + 23811286661761 T^{8}$$)($$1 - 3905 T^{2} + 8711938 T^{4} - 15970210469 T^{6} + 42511478331778 T^{8} - 92983074414176705 T^{10} +$$$$11\!\cdots\!41$$$$T^{12}$$)($$1 - 3905 T^{2} + 8711938 T^{4} - 15970210469 T^{6} + 42511478331778 T^{8} - 92983074414176705 T^{10} +$$$$11\!\cdots\!41$$$$T^{12}$$)($$1 - 8313 T^{2} + 34403266 T^{4} - 92419678717 T^{6} + 167876963438146 T^{8} - 197943226019219193 T^{10} +$$$$11\!\cdots\!41$$$$T^{12}$$)($$1 - 8313 T^{2} + 34403266 T^{4} - 92419678717 T^{6} + 167876963438146 T^{8} - 197943226019219193 T^{10} +$$$$11\!\cdots\!41$$$$T^{12}$$)($$1 - 8392 T^{2} + 39566748 T^{4} - 127207295352 T^{6} + 316693927920198 T^{8} - 620731022190542712 T^{10} +$$$$94\!\cdots\!28$$$$T^{12} -$$$$97\!\cdots\!72$$$$T^{14} +$$$$56\!\cdots\!21$$$$T^{16}$$)($$( 1 - 3524 T^{2} + 6210054 T^{4} - 17195995844 T^{6} + 23811286661761 T^{8} )^{2}$$)($$( 1 - 7882 T^{2} + 36960365 T^{4} - 139603853176 T^{6} + 414150638158290 T^{8} - 991595180332091260 T^{10} +$$$$20\!\cdots\!90$$$$T^{12} -$$$$33\!\cdots\!36$$$$T^{14} +$$$$42\!\cdots\!65$$$$T^{16} -$$$$44\!\cdots\!22$$$$T^{18} +$$$$27\!\cdots\!01$$$$T^{20} )^{2}$$)($$( 1 - 47 T + 2209 T^{2} )^{2}( 1 + 47 T + 2209 T^{2} )^{2}$$)($$( 1 - 47 T + 2209 T^{2} )^{2}( 1 + 47 T + 2209 T^{2} )^{2}$$)($$( 1 - 47 T + 2209 T^{2} )^{2}( 1 + 47 T + 2209 T^{2} )^{2}$$)($$( 1 + 4852 T^{2} + 8542954 T^{4} + 25422480976 T^{6} + 86280232788115 T^{8} + 124053597391448656 T^{10} +$$$$20\!\cdots\!94$$$$T^{12} +$$$$56\!\cdots\!32$$$$T^{14} +$$$$56\!\cdots\!21$$$$T^{16} )^{2}$$)($$1 - 87 T + 4732 T^{2} - 192183 T^{3} + 4879681 T^{4}$$)($$( 1 - 47 T + 2209 T^{2} )( 1 + 47 T + 2209 T^{2} )$$)($$1 + 87 T + 4732 T^{2} + 192183 T^{3} + 4879681 T^{4}$$)($$( 1 - 47 T + 2209 T^{2} )( 1 + 47 T + 2209 T^{2} )$$)($$( 1 - 47 T + 2209 T^{2} )^{2}( 1 + 47 T + 2209 T^{2} )^{2}$$)($$( 1 - 47 T + 2209 T^{2} )^{2}( 1 + 47 T + 2209 T^{2} )^{2}$$)($$( 1 - 47 T + 2209 T^{2} )^{2}( 1 + 47 T + 2209 T^{2} )^{2}$$)($$( 1 - 47 T + 2209 T^{2} )^{2}( 1 + 47 T + 2209 T^{2} )^{2}$$)($$1 + 7492 T^{2} + 32739594 T^{4} + 102124261136 T^{6} + 249405993329555 T^{8} + 498333816704377616 T^{10} +$$$$77\!\cdots\!34$$$$T^{12} +$$$$87\!\cdots\!72$$$$T^{14} +$$$$56\!\cdots\!21$$$$T^{16}$$)($$1 + 7492 T^{2} + 32739594 T^{4} + 102124261136 T^{6} + 249405993329555 T^{8} + 498333816704377616 T^{10} +$$$$77\!\cdots\!34$$$$T^{12} +$$$$87\!\cdots\!72$$$$T^{14} +$$$$56\!\cdots\!21$$$$T^{16}$$)($$1 + 8313 T^{2} + 34702703 T^{4} + 101154992824 T^{6} + 247422958854189 T^{8} + 586359622432093519 T^{10} +$$$$13\!\cdots\!26$$$$T^{12} +$$$$28\!\cdots\!39$$$$T^{14} +$$$$58\!\cdots\!29$$$$T^{16} +$$$$11\!\cdots\!84$$$$T^{18} +$$$$19\!\cdots\!63$$$$T^{20} +$$$$22\!\cdots\!13$$$$T^{22} +$$$$13\!\cdots\!81$$$$T^{24}$$)($$1 + 3905 T^{2} + 6537087 T^{4} + 2079696952 T^{6} - 28977286497379 T^{8} - 99900087904130553 T^{10} -$$$$24\!\cdots\!46$$$$T^{12} -$$$$48\!\cdots\!93$$$$T^{14} -$$$$68\!\cdots\!19$$$$T^{16} +$$$$24\!\cdots\!32$$$$T^{18} +$$$$37\!\cdots\!27$$$$T^{20} +$$$$10\!\cdots\!05$$$$T^{22} +$$$$13\!\cdots\!81$$$$T^{24}$$)($$( 1 + 3524 T^{2} + 6208522 T^{4} - 12507761392 T^{6} - 45845205333101 T^{8} - 61033885617075952 T^{10} +$$$$14\!\cdots\!42$$$$T^{12} +$$$$40\!\cdots\!84$$$$T^{14} +$$$$56\!\cdots\!21$$$$T^{16} )^{2}$$)($$1 + 8392 T^{2} + 30858916 T^{4} + 77629558512 T^{6} + 181309996781322 T^{8} + 338519134932094776 T^{10} +$$$$32\!\cdots\!52$$$$T^{12} +$$$$46\!\cdots\!92$$$$T^{14} -$$$$14\!\cdots\!37$$$$T^{16} +$$$$22\!\cdots\!52$$$$T^{18} +$$$$77\!\cdots\!72$$$$T^{20} +$$$$39\!\cdots\!16$$$$T^{22} +$$$$10\!\cdots\!62$$$$T^{24} +$$$$21\!\cdots\!12$$$$T^{26} +$$$$41\!\cdots\!96$$$$T^{28} +$$$$55\!\cdots\!12$$$$T^{30} +$$$$32\!\cdots\!41$$$$T^{32}$$)($$1 + 8392 T^{2} + 30858916 T^{4} + 77629558512 T^{6} + 181309996781322 T^{8} + 338519134932094776 T^{10} +$$$$32\!\cdots\!52$$$$T^{12} +$$$$46\!\cdots\!92$$$$T^{14} -$$$$14\!\cdots\!37$$$$T^{16} +$$$$22\!\cdots\!52$$$$T^{18} +$$$$77\!\cdots\!72$$$$T^{20} +$$$$39\!\cdots\!16$$$$T^{22} +$$$$10\!\cdots\!62$$$$T^{24} +$$$$21\!\cdots\!12$$$$T^{26} +$$$$41\!\cdots\!96$$$$T^{28} +$$$$55\!\cdots\!12$$$$T^{30} +$$$$32\!\cdots\!41$$$$T^{32}$$)($$1 + 4404 T^{2} + 9097098 T^{4} + 2372681424 T^{6} - 12402519325933 T^{8} + 11577928463745744 T^{10} +$$$$21\!\cdots\!78$$$$T^{12} +$$$$51\!\cdots\!64$$$$T^{14} +$$$$56\!\cdots\!21$$$$T^{16}$$)($$1 + 1412 T^{2} + 5506698 T^{4} - 18740510192 T^{6} - 21199275571309 T^{8} - 91447711514208752 T^{10} +$$$$13\!\cdots\!78$$$$T^{12} +$$$$16\!\cdots\!92$$$$T^{14} +$$$$56\!\cdots\!21$$$$T^{16}$$)($$1 - 108 T + 11624 T^{2} - 835488 T^{3} + 58240275 T^{4} - 3440424852 T^{5} + 189935197288 T^{6} - 9707415208272 T^{7} + 462352344677336 T^{8} - 21443680195072848 T^{9} + 926823173437505128 T^{10} - 37085080302950956308 T^{11} +$$$$13\!\cdots\!75$$$$T^{12} -$$$$43\!\cdots\!12$$$$T^{13} +$$$$13\!\cdots\!84$$$$T^{14} -$$$$27\!\cdots\!52$$$$T^{15} +$$$$56\!\cdots\!21$$$$T^{16}$$)($$1 + 7864 T^{2} + 27340004 T^{4} + 56310301712 T^{6} + 78403801795978 T^{8} + 41308890297219912 T^{10} -$$$$12\!\cdots\!92$$$$T^{12} -$$$$16\!\cdots\!08$$$$T^{14} +$$$$11\!\cdots\!99$$$$T^{16} -$$$$81\!\cdots\!48$$$$T^{18} -$$$$28\!\cdots\!12$$$$T^{20} +$$$$47\!\cdots\!92$$$$T^{22} +$$$$44\!\cdots\!38$$$$T^{24} +$$$$15\!\cdots\!12$$$$T^{26} +$$$$36\!\cdots\!24$$$$T^{28} +$$$$51\!\cdots\!04$$$$T^{30} +$$$$32\!\cdots\!41$$$$T^{32}$$)
$53$ ($$( 1 - 60 T + 5166 T^{2} - 168540 T^{3} + 7890481 T^{4} )^{2}$$)($$( 1 + 52 T + 6624 T^{2} + 257660 T^{3} + 24174686 T^{4} + 723766940 T^{5} + 52266546144 T^{6} + 1152546778708 T^{7} + 62259690411361 T^{8} )^{2}$$)($$( 1 - 28 T + 6474 T^{2} - 154256 T^{3} + 25346867 T^{4} - 433305104 T^{5} + 51082973994 T^{6} - 620602111612 T^{7} + 62259690411361 T^{8} )^{2}$$)($$( 1 - 53 T )( 1 + 53 T )$$)($$( 1 - 53 T )^{2}( 1 + 53 T )^{2}$$)($$( 1 - 6 T + 2809 T^{2} )( 1 + 6 T + 2809 T^{2} )$$)($$( 1 - 53 T + 2809 T^{2} )( 1 + 53 T + 2809 T^{2} )$$)($$( 1 - 53 T + 2809 T^{2} )( 1 + 53 T + 2809 T^{2} )$$)($$( 1 - 53 T )^{2}( 1 + 53 T )^{2}$$)($$( 1 - 53 T )^{2}( 1 + 53 T )^{2}$$)($$1 - 1604 T^{2} - 6155034 T^{4} - 12656331524 T^{6} + 62259690411361 T^{8}$$)($$1 - 10561 T^{2} + 51800990 T^{4} - 168592871253 T^{6} + 408734727376190 T^{8} - 657524590434383521 T^{10} +$$$$49\!\cdots\!41$$$$T^{12}$$)($$1 - 10561 T^{2} + 51800990 T^{4} - 168592871253 T^{6} + 408734727376190 T^{8} - 657524590434383521 T^{10} +$$$$49\!\cdots\!41$$$$T^{12}$$)($$1 - 9273 T^{2} + 51148590 T^{4} - 171735291709 T^{6} + 403586977571790 T^{8} - 577334109184550553 T^{10} +$$$$49\!\cdots\!41$$$$T^{12}$$)($$1 - 9273 T^{2} + 51148590 T^{4} - 171735291709 T^{6} + 403586977571790 T^{8} - 577334109184550553 T^{10} +$$$$49\!\cdots\!41$$$$T^{12}$$)($$1 - 18920 T^{2} + 162796828 T^{4} - 840091728600 T^{6} + 2864724835962118 T^{8} - 6628727822775456600 T^{10} +$$$$10\!\cdots\!08$$$$T^{12} -$$$$92\!\cdots\!20$$$$T^{14} +$$$$38\!\cdots\!21$$$$T^{16}$$)($$( 1 - 260 T^{2} + 12840550 T^{4} - 2051525060 T^{6} + 62259690411361 T^{8} )^{2}$$)($$( 1 - 18362 T^{2} + 172049565 T^{4} - 1049572426552 T^{6} + 4577581970226066 T^{8} - 14830671426025437084 T^{10} +$$$$36\!\cdots\!46$$$$T^{12} -$$$$65\!\cdots\!72$$$$T^{14} +$$$$84\!\cdots\!65$$$$T^{16} -$$$$71\!\cdots\!02$$$$T^{18} +$$$$30\!\cdots\!01$$$$T^{20} )^{2}$$)($$( 1 - 53 T + 2809 T^{2} )^{2}( 1 + 53 T + 2809 T^{2} )^{2}$$)($$( 1 - 6 T - 2773 T^{2} - 16854 T^{3} + 7890481 T^{4} )( 1 + 6 T - 2773 T^{2} + 16854 T^{3} + 7890481 T^{4} )$$)($$( 1 - 53 T + 2809 T^{2} )^{2}( 1 + 53 T + 2809 T^{2} )^{2}$$)($$( 1 + 7780 T^{2} + 29864170 T^{4} + 115791825040 T^{6} + 400437120921139 T^{8} + 913653195433444240 T^{10} +$$$$18\!\cdots\!70$$$$T^{12} +$$$$38\!\cdots\!80$$$$T^{14} +$$$$38\!\cdots\!21$$$$T^{16} )^{2}$$)($$( 1 - 53 T )^{2}( 1 - 53 T + 2809 T^{2} )$$)($$( 1 - 53 T + 2809 T^{2} )( 1 + 53 T + 2809 T^{2} )$$)($$( 1 + 53 T )^{2}( 1 + 53 T + 2809 T^{2} )$$)($$( 1 - 53 T + 2809 T^{2} )( 1 + 53 T + 2809 T^{2} )$$)($$( 1 - 53 T + 2809 T^{2} )^{2}( 1 + 53 T + 2809 T^{2} )^{2}$$)($$( 1 - 53 T + 2809 T^{2} )^{2}( 1 + 53 T + 2809 T^{2} )^{2}$$)($$( 1 - 6 T - 2773 T^{2} - 16854 T^{3} + 7890481 T^{4} )( 1 + 6 T - 2773 T^{2} + 16854 T^{3} + 7890481 T^{4} )$$)($$( 1 - 53 T + 2809 T^{2} )^{2}( 1 + 53 T + 2809 T^{2} )^{2}$$)($$1 + 1604 T^{2} + 8727850 T^{4} - 35185337584 T^{6} - 44676002634701 T^{8} - 277629237685137904 T^{10} +$$$$54\!\cdots\!50$$$$T^{12} +$$$$78\!\cdots\!64$$$$T^{14} +$$$$38\!\cdots\!21$$$$T^{16}$$)($$1 + 1604 T^{2} + 8727850 T^{4} - 35185337584 T^{6} - 44676002634701 T^{8} - 277629237685137904 T^{10} +$$$$54\!\cdots\!50$$$$T^{12} +$$$$78\!\cdots\!64$$$$T^{14} +$$$$38\!\cdots\!21$$$$T^{16}$$)($$1 + 9273 T^{2} + 34839939 T^{4} + 130830291652 T^{6} + 620089921398753 T^{8} + 1876428047292173523 T^{10} +$$$$44\!\cdots\!94$$$$T^{12} +$$$$14\!\cdots\!63$$$$T^{14} +$$$$38\!\cdots\!33$$$$T^{16} +$$$$64\!\cdots\!32$$$$T^{18} +$$$$13\!\cdots\!19$$$$T^{20} +$$$$28\!\cdots\!73$$$$T^{22} +$$$$24\!\cdots\!81$$$$T^{24}$$)($$1 + 10561 T^{2} + 59733731 T^{4} + 209884512884 T^{6} + 494098524300977 T^{8} + 757507316642438811 T^{10} +$$$$12\!\cdots\!10$$$$T^{12} +$$$$59\!\cdots\!91$$$$T^{14} +$$$$30\!\cdots\!97$$$$T^{16} +$$$$10\!\cdots\!44$$$$T^{18} +$$$$23\!\cdots\!51$$$$T^{20} +$$$$32\!\cdots\!61$$$$T^{22} +$$$$24\!\cdots\!81$$$$T^{24}$$)($$( 1 + 260 T^{2} - 12772950 T^{4} - 764507120 T^{6} + 102086637375539 T^{8} - 6032328904724720 T^{10} -$$$$79\!\cdots\!50$$$$T^{12} +$$$$12\!\cdots\!60$$$$T^{14} +$$$$38\!\cdots\!21$$$$T^{16} )^{2}$$)($$1 + 18920 T^{2} + 195169572 T^{4} + 1399932528560 T^{6} + 7743546865787466 T^{8} + 34991808675085792280 T^{10} +$$$$13\!\cdots\!12$$$$T^{12} +$$$$44\!\cdots\!80$$$$T^{14} +$$$$13\!\cdots\!79$$$$T^{16} +$$$$35\!\cdots\!80$$$$T^{18} +$$$$83\!\cdots\!32$$$$T^{20} +$$$$17\!\cdots\!80$$$$T^{22} +$$$$30\!\cdots\!86$$$$T^{24} +$$$$42\!\cdots\!60$$$$T^{26} +$$$$47\!\cdots\!32$$$$T^{28} +$$$$36\!\cdots\!20$$$$T^{30} +$$$$15\!\cdots\!41$$$$T^{32}$$)($$1 + 18920 T^{2} + 195169572 T^{4} + 1399932528560 T^{6} + 7743546865787466 T^{8} + 34991808675085792280 T^{10} +$$$$13\!\cdots\!12$$$$T^{12} +$$$$44\!\cdots\!80$$$$T^{14} +$$$$13\!\cdots\!79$$$$T^{16} +$$$$35\!\cdots\!80$$$$T^{18} +$$$$83\!\cdots\!32$$$$T^{20} +$$$$17\!\cdots\!80$$$$T^{22} +$$$$30\!\cdots\!86$$$$T^{24} +$$$$42\!\cdots\!60$$$$T^{26} +$$$$47\!\cdots\!32$$$$T^{28} +$$$$36\!\cdots\!20$$$$T^{30} +$$$$15\!\cdots\!41$$$$T^{32}$$)($$( 1 + 60 T - 1566 T^{2} - 27120 T^{3} + 8684675 T^{4} - 76180080 T^{5} - 12356493246 T^{6} + 1329861667740 T^{7} + 62259690411361 T^{8} )^{2}$$)($$( 1 - 76 T - 774 T^{2} - 70832 T^{3} + 18787235 T^{4} - 198967088 T^{5} - 6107232294 T^{6} - 1684491445804 T^{7} + 62259690411361 T^{8} )^{2}$$)($$1 + 28 T - 5690 T^{2} - 127240 T^{3} + 12246641 T^{4} + 12533896 T^{5} - 50267298346 T^{6} + 350397212804 T^{7} + 217406608794820 T^{8} + 984265770766436 T^{9} - 396633162520444426 T^{10} + 277805797297328584 T^{11} +$$$$76\!\cdots\!01$$$$T^{12} -$$$$22\!\cdots\!60$$$$T^{13} -$$$$27\!\cdots\!90$$$$T^{14} +$$$$38\!\cdots\!32$$$$T^{15} +$$$$38\!\cdots\!21$$$$T^{16}$$)($$( 1 - 52 T - 3920 T^{2} + 170872 T^{3} + 6304370 T^{4} + 83660564 T^{5} - 26847233056 T^{6} - 510792351836 T^{7} + 109321226354611 T^{8} - 1434815716307324 T^{9} - 211837582330939936 T^{10} + 1854282952751816756 T^{11} +$$$$39\!\cdots\!70$$$$T^{12} +$$$$29\!\cdots\!28$$$$T^{13} -$$$$19\!\cdots\!20$$$$T^{14} -$$$$71\!\cdots\!88$$$$T^{15} +$$$$38\!\cdots\!21$$$$T^{16} )^{2}$$)
$59$ ($$1 - 1280 T^{2} - 2308160 T^{4} - 15510222080 T^{6} + 146830437604321 T^{8}$$)($$1 - 21732 T^{2} + 217569638 T^{4} - 1332259760740 T^{6} + 5542349671733442 T^{8} - 16143472466660207140 T^{10} +$$$$31\!\cdots\!98$$$$T^{12} -$$$$38\!\cdots\!92$$$$T^{14} +$$$$21\!\cdots\!41$$$$T^{16}$$)($$1 - 21536 T^{2} + 212257786 T^{4} - 1280746636112 T^{6} + 5295694905986731 T^{8} - 15519269339304740432 T^{10} +$$$$31\!\cdots\!06$$$$T^{12} -$$$$38\!\cdots\!16$$$$T^{14} +$$$$21\!\cdots\!41$$$$T^{16}$$)($$1 - 82 T + 3481 T^{2}$$)($$1 - 238 T^{2} + 12117361 T^{4}$$)($$( 1 + 3481 T^{2} )^{2}$$)($$( 1 - 55 T + 3481 T^{2} )^{2}$$)($$( 1 + 55 T + 3481 T^{2} )^{2}$$)($$1 + 120 T + 7200 T^{2} + 417720 T^{3} + 12117361 T^{4}$$)($$1 - 120 T + 7200 T^{2} - 417720 T^{3} + 12117361 T^{4}$$)($$( 1 + 92 T + 8836 T^{2} + 320252 T^{3} + 12117361 T^{4} )^{2}$$)($$( 1 + 55 T + 10392 T^{2} + 376351 T^{3} + 36174552 T^{4} + 666454855 T^{5} + 42180533641 T^{6} )^{2}$$)($$( 1 - 55 T + 10392 T^{2} - 376351 T^{3} + 36174552 T^{4} - 666454855 T^{5} + 42180533641 T^{6} )^{2}$$)($$( 1 + 31 T + 8528 T^{2} + 220199 T^{3} + 29685968 T^{4} + 375638191 T^{5} + 42180533641 T^{6} )^{2}$$)($$( 1 - 31 T + 8528 T^{2} - 220199 T^{3} + 29685968 T^{4} - 375638191 T^{5} + 42180533641 T^{6} )^{2}$$)($$( 1 + 52 T + 2254 T^{2} - 207508 T^{3} - 19795230 T^{4} - 722335348 T^{5} + 27312531694 T^{6} + 2193387749332 T^{7} + 146830437604321 T^{8} )^{2}$$)($$( 1 + 13008 T^{2} + 66481626 T^{4} + 157622631888 T^{6} + 146830437604321 T^{8} )^{2}$$)($$( 1 + 16052 T^{2} + 155443889 T^{4} + 1035639665024 T^{6} + 5240151520546830 T^{8} + 20536714255056000920 T^{10} +$$$$63\!\cdots\!30$$$$T^{12} +$$$$15\!\cdots\!04$$$$T^{14} +$$$$27\!\cdots\!09$$$$T^{16} +$$$$34\!\cdots\!32$$$$T^{18} +$$$$26\!\cdots\!01$$$$T^{20} )^{2}$$)($$1 - 1130 T^{2} - 10840461 T^{4} - 13692617930 T^{6} + 146830437604321 T^{8}$$)($$( 1 - 3481 T^{2} + 12117361 T^{4} )^{2}$$)($$1 + 1130 T^{2} - 10840461 T^{4} + 13692617930 T^{6} + 146830437604321 T^{8}$$)($$( 1 - 9200 T^{2} + 39794830 T^{4} - 189616121600 T^{6} + 838645399684579 T^{8} - 2297646996847097600 T^{10} +$$$$58\!\cdots\!30$$$$T^{12} -$$$$16\!\cdots\!00$$$$T^{14} +$$$$21\!\cdots\!41$$$$T^{16} )^{2}$$)($$1 + 55 T - 456 T^{2} + 191455 T^{3} + 12117361 T^{4}$$)($$1 + 82 T + 3243 T^{2} + 285442 T^{3} + 12117361 T^{4}$$)($$1 + 55 T - 456 T^{2} + 191455 T^{3} + 12117361 T^{4}$$)($$1 - 82 T + 3243 T^{2} - 285442 T^{3} + 12117361 T^{4}$$)($$1 + 120 T + 7200 T^{2} + 28560 T^{3} - 10403761 T^{4} + 99417360 T^{5} + 87244999200 T^{6} + 5061664036920 T^{7} + 146830437604321 T^{8}$$)($$1 - 120 T + 7200 T^{2} - 28560 T^{3} - 10403761 T^{4} - 99417360 T^{5} + 87244999200 T^{6} - 5061664036920 T^{7} + 146830437604321 T^{8}$$)($$( 1 - 3481 T^{2} + 12117361 T^{4} )^{2}$$)($$1 + 238 T^{2} - 12060717 T^{4} + 2883931918 T^{6} + 146830437604321 T^{8}$$)($$( 1 + 92 T - 372 T^{2} + 172408 T^{3} + 36494351 T^{4} + 600152248 T^{5} - 4507658292 T^{6} + 3880609094972 T^{7} + 146830437604321 T^{8} )^{2}$$)($$( 1 - 92 T - 372 T^{2} - 172408 T^{3} + 36494351 T^{4} - 600152248 T^{5} - 4507658292 T^{6} - 3880609094972 T^{7} + 146830437604321 T^{8} )^{2}$$)($$( 1 + 31 T - 7567 T^{2} - 176030 T^{3} + 36214647 T^{4} + 412965247 T^{5} - 131958052142 T^{6} + 1437532024807 T^{7} + 438825951186567 T^{8} - 7425039336825230 T^{9} - 1111065921351897007 T^{10} + 15844619352319883431 T^{11} +$$$$17\!\cdots\!81$$$$T^{12} )^{2}$$)($$( 1 - 55 T - 7367 T^{2} + 181142 T^{3} + 51119807 T^{4} - 598293727 T^{5} - 186579818926 T^{6} - 2082660463687 T^{7} + 619437155669327 T^{8} + 7640666224798022 T^{9} - 1081699833831032807 T^{10} - 28111421431535277055 T^{11} +$$$$17\!\cdots\!81$$$$T^{12} )^{2}$$)($$( 1 - 13008 T^{2} + 102726438 T^{4} - 549547727232 T^{6} + 2222620962400451 T^{8} - 6659068197599674752 T^{10} +$$$$15\!\cdots\!98$$$$T^{12} -$$$$23\!\cdots\!48$$$$T^{14} +$$$$21\!\cdots\!41$$$$T^{16} )^{2}$$)($$( 1 - 52 T + 450 T^{2} - 532224 T^{3} + 35666162 T^{4} - 868645540 T^{5} + 179864519968 T^{6} - 10977595733044 T^{7} + 261680209248047 T^{8} - 38213010746726164 T^{9} + 2179483319543964448 T^{10} - 36639932422074611140 T^{11} +$$$$52\!\cdots\!02$$$$T^{12} -$$$$27\!\cdots\!24$$$$T^{13} +$$$$80\!\cdots\!50$$$$T^{14} -$$$$32\!\cdots\!72$$$$T^{15} +$$$$21\!\cdots\!41$$$$T^{16} )^{2}$$)($$( 1 + 52 T + 450 T^{2} + 532224 T^{3} + 35666162 T^{4} + 868645540 T^{5} + 179864519968 T^{6} + 10977595733044 T^{7} + 261680209248047 T^{8} + 38213010746726164 T^{9} + 2179483319543964448 T^{10} + 36639932422074611140 T^{11} +$$$$52\!\cdots\!02$$$$T^{12} +$$$$27\!\cdots\!24$$$$T^{13} +$$$$80\!\cdots\!50$$$$T^{14} +$$$$32\!\cdots\!72$$$$T^{15} +$$$$21\!\cdots\!41$$$$T^{16} )^{2}$$)($$1 + 1280 T^{2} + 3946560 T^{4} - 33974888960 T^{6} - 161355919281121 T^{8} - 411685994463234560 T^{10} +$$$$57\!\cdots\!60$$$$T^{12} +$$$$22\!\cdots\!80$$$$T^{14} +$$$$21\!\cdots\!41$$$$T^{16}$$)($$1 + 10324 T^{2} + 58194922 T^{4} + 249379647568 T^{6} + 903238257150259 T^{8} + 3021823215634228048 T^{10} +$$$$85\!\cdots\!62$$$$T^{12} +$$$$18\!\cdots\!44$$$$T^{14} +$$$$21\!\cdots\!41$$$$T^{16}$$)($$1 + 120 T + 17968 T^{2} + 1580160 T^{3} + 153965443 T^{4} + 11645905140 T^{5} + 884355553312 T^{6} + 56964357475140 T^{7} + 3583093590199576 T^{8} + 198292928370962340 T^{9} + 10716055491836249632 T^{10} +$$$$49\!\cdots\!40$$$$T^{11} +$$$$22\!\cdots\!03$$$$T^{12} +$$$$80\!\cdots\!60$$$$T^{13} +$$$$31\!\cdots\!08$$$$T^{14} +$$$$74\!\cdots\!20$$$$T^{15} +$$$$21\!\cdots\!41$$$$T^{16}$$)($$1 + 21732 T^{2} + 254710186 T^{4} + 2063703851536 T^{6} + 12841528587315922 T^{8} + 65110060200606296172 T^{10} +$$$$28\!\cdots\!20$$$$T^{12} +$$$$10\!\cdots\!68$$$$T^{14} +$$$$39\!\cdots\!87$$$$T^{16} +$$$$13\!\cdots\!48$$$$T^{18} +$$$$41\!\cdots\!20$$$$T^{20} +$$$$11\!\cdots\!32$$$$T^{22} +$$$$27\!\cdots\!02$$$$T^{24} +$$$$53\!\cdots\!36$$$$T^{26} +$$$$80\!\cdots\!46$$$$T^{28} +$$$$83\!\cdots\!72$$$$T^{30} +$$$$46\!\cdots\!81$$$$T^{32}$$)
$61$ ($$1 - 14556 T^{2} + 80641758 T^{4} - 201540061596 T^{6} + 191707312997281 T^{8}$$)($$1 - 14012 T^{2} + 102965726 T^{4} - 571565843516 T^{6} + 2467522081162818 T^{8} - 7913809790353416956 T^{10} +$$$$19\!\cdots\!06$$$$T^{12} -$$$$37\!\cdots\!52$$$$T^{14} +$$$$36\!\cdots\!61$$$$T^{16}$$)($$1 - 14876 T^{2} + 108599146 T^{4} - 531126692336 T^{6} + 2110195088708659 T^{8} - 7353895732940174576 T^{10} +$$$$20\!\cdots\!26$$$$T^{12} -$$$$39\!\cdots\!96$$$$T^{14} +$$$$36\!\cdots\!61$$$$T^{16}$$)($$( 1 - 61 T )( 1 + 61 T )$$)($$( 1 - 61 T )^{2}( 1 + 61 T )^{2}$$)($$( 1 - 61 T )^{2}( 1 + 61 T )^{2}$$)($$1 - 6935 T^{2} + 13845841 T^{4}$$)($$1 - 6935 T^{2} + 13845841 T^{4}$$)($$( 1 - 61 T )^{2}( 1 + 61 T )^{2}$$)($$( 1 - 61 T )^{2}( 1 + 61 T )^{2}$$)($$1 - 13232 T^{2} + 71110338 T^{4} - 183208168112 T^{6} + 191707312997281 T^{8}$$)($$1 - 9201 T^{2} + 27716990 T^{4} - 50012187845 T^{6} + 383765036538590 T^{8} - 1763898986887982481 T^{10} +$$$$26\!\cdots\!21$$$$T^{12}$$)($$1 - 9201 T^{2} + 27716990 T^{4} - 50012187845 T^{6} + 383765036538590 T^{8} - 1763898986887982481 T^{10} +$$$$26\!\cdots\!21$$$$T^{12}$$)($$1 + 503 T^{2} + 13773134 T^{4} - 42495649933 T^{6} + 190700623435694 T^{8} + 96428778437632343 T^{10} +$$$$26\!\cdots\!21$$$$T^{12}$$)($$1 + 503 T^{2} + 13773134 T^{4} - 42495649933 T^{6} + 190700623435694 T^{8} + 96428778437632343 T^{10} +$$$$26\!\cdots\!21$$$$T^{12}$$)($$1 - 16316 T^{2} + 140172120 T^{4} - 816942037524 T^{6} + 3499102878259502 T^{8} - 11311249557773337684 T^{10} +$$$$26\!\cdots\!20$$$$T^{12} -$$$$43\!\cdots\!36$$$$T^{14} +$$$$36\!\cdots\!61$$$$T^{16}$$)($$( 1 - 12432 T^{2} + 66330266 T^{4} - 172131495312 T^{6} + 191707312997281 T^{8} )^{2}$$)($$( 1 - 6598 T^{2} + 18927609 T^{4} - 56074638144 T^{6} + 392496834569126 T^{8} - 2076928054315081620 T^{10} +$$$$54\!\cdots\!66$$$$T^{12} -$$$$10\!\cdots\!64$$$$T^{14} +$$$$50\!\cdots\!89$$$$T^{16} -$$$$24\!\cdots\!78$$$$T^{18} +$$$$50\!\cdots\!01$$$$T^{20} )^{2}$$)($$1 - 7370 T^{2} + 40471059 T^{4} - 102043848170 T^{6} + 191707312997281 T^{8}$$)($$( 1 - 3721 T^{2} + 13845841 T^{4} )^{2}$$)($$1 + 7370 T^{2} + 40471059 T^{4} + 102043848170 T^{6} + 191707312997281 T^{8}$$)($$( 1 - 14840 T^{2} + 137477950 T^{4} - 817030565120 T^{6} + 3606257625795619 T^{8} - 11312475296791665920 T^{10} +$$$$26\!\cdots\!50$$$$T^{12} -$$$$39\!\cdots\!40$$$$T^{14} +$$$$36\!\cdots\!61$$$$T^{16} )^{2}$$)($$1 + 39 T + 4228 T^{2} + 145119 T^{3} + 13845841 T^{4}$$)($$( 1 - 61 T + 3721 T^{2} )( 1 + 61 T + 3721 T^{2} )$$)($$1 - 39 T + 4228 T^{2} - 145119 T^{3} + 13845841 T^{4}$$)($$( 1 - 61 T + 3721 T^{2} )( 1 + 61 T + 3721 T^{2} )$$)($$( 1 - 61 T + 3721 T^{2} )^{2}( 1 + 61 T + 3721 T^{2} )^{2}$$)($$( 1 - 61 T + 3721 T^{2} )^{2}( 1 + 61 T + 3721 T^{2} )^{2}$$)($$( 1 - 61 T + 3721 T^{2} )^{2}( 1 + 61 T + 3721 T^{2} )^{2}$$)($$( 1 - 61 T + 3721 T^{2} )^{2}( 1 + 61 T + 3721 T^{2} )^{2}$$)($$1 + 13232 T^{2} + 103975486 T^{4} + 574515656192 T^{6} + 2440762377018979 T^{8} + 7954652427645097472 T^{10} +$$$$19\!\cdots\!66$$$$T^{12} +$$$$35\!\cdots\!72$$$$T^{14} +$$$$36\!\cdots\!61$$$$T^{16}$$)($$1 + 13232 T^{2} + 103975486 T^{4} + 574515656192 T^{6} + 2440762377018979 T^{8} + 7954652427645097472 T^{10} +$$$$19\!\cdots\!66$$$$T^{12} +$$$$35\!\cdots\!72$$$$T^{14} +$$$$36\!\cdots\!61$$$$T^{16}$$)($$1 - 503 T^{2} - 13520125 T^{4} - 91919186268 T^{6} + 20373908662561 T^{8} + 680714329682975843 T^{10} +$$$$44\!\cdots\!06$$$$T^{12} +$$$$94\!\cdots\!63$$$$T^{14} +$$$$39\!\cdots\!41$$$$T^{16} -$$$$24\!\cdots\!28$$$$T^{18} -$$$$49\!\cdots\!25$$$$T^{20} -$$$$25\!\cdots\!03$$$$T^{22} +$$$$70\!\cdots\!41$$$$T^{24}$$)($$1 + 9201 T^{2} + 56941411 T^{4} + 154999649300 T^{6} - 75695642240335 T^{8} - 3911957905117164149 T^{10} -$$$$19\!\cdots\!14$$$$T^{12} -$$$$54\!\cdots\!09$$$$T^{14} -$$$$14\!\cdots\!35$$$$T^{16} +$$$$41\!\cdots\!00$$$$T^{18} +$$$$20\!\cdots\!71$$$$T^{20} +$$$$46\!\cdots\!01$$$$T^{22} +$$$$70\!\cdots\!41$$$$T^{24}$$)($$( 1 + 12432 T^{2} + 88224358 T^{4} + 480354876288 T^{6} + 2068058124914691 T^{8} + 6650917240658318208 T^{10} +$$$$16\!\cdots\!98$$$$T^{12} +$$$$32\!\cdots\!72$$$$T^{14} +$$$$36\!\cdots\!61$$$$T^{16} )^{2}$$)($$1 + 16316 T^{2} + 126039736 T^{4} + 653164234872 T^{6} + 2819894062793314 T^{8} + 11641021751267899300 T^{10} +$$$$46\!\cdots\!32$$$$T^{12} +$$$$16\!\cdots\!44$$$$T^{14} +$$$$61\!\cdots\!79$$$$T^{16} +$$$$23\!\cdots\!04$$$$T^{18} +$$$$88\!\cdots\!92$$$$T^{20} +$$$$30\!\cdots\!00$$$$T^{22} +$$$$10\!\cdots\!54$$$$T^{24} +$$$$33\!\cdots\!72$$$$T^{26} +$$$$88\!\cdots\!76$$$$T^{28} +$$$$15\!\cdots\!96$$$$T^{30} +$$$$13\!\cdots\!21$$$$T^{32}$$)($$1 + 16316 T^{2} + 126039736 T^{4} + 653164234872 T^{6} + 2819894062793314 T^{8} + 11641021751267899300 T^{10} +$$$$46\!\cdots\!32$$$$T^{12} +$$$$16\!\cdots\!44$$$$T^{14} +$$$$61\!\cdots\!79$$$$T^{16} +$$$$23\!\cdots\!04$$$$T^{18} +$$$$88\!\cdots\!92$$$$T^{20} +$$$$30\!\cdots\!00$$$$T^{22} +$$$$10\!\cdots\!54$$$$T^{24} +$$$$33\!\cdots\!72$$$$T^{26} +$$$$88\!\cdots\!76$$$$T^{28} +$$$$15\!\cdots\!96$$$$T^{30} +$$$$13\!\cdots\!21$$$$T^{32}$$)($$1 + 14556 T^{2} + 131235378 T^{4} + 770741306256 T^{6} + 3377768683741907 T^{8} + 10671561578552881296 T^{10} +$$$$25\!\cdots\!18$$$$T^{12} +$$$$38\!\cdots\!76$$$$T^{14} +$$$$36\!\cdots\!61$$$$T^{16}$$)($$1 + 7252 T^{2} + 25564714 T^{4} - 4821796784 T^{6} - 189433537628045 T^{8} - 66761831605575344 T^{10} +$$$$49\!\cdots\!34$$$$T^{12} +$$$$19\!\cdots\!92$$$$T^{14} +$$$$36\!\cdots\!61$$$$T^{16}$$)($$1 + 252 T + 39190 T^{2} + 4541544 T^{3} + 432889153 T^{4} + 35854208712 T^{5} + 2659779396934 T^{6} + 181116202298292 T^{7} + 11432754845543908 T^{8} + 673933388751944532 T^{9} + 36826882625024051494 T^{10} +$$$$18\!\cdots\!32$$$$T^{11} +$$$$82\!\cdots\!93$$$$T^{12} +$$$$32\!\cdots\!44$$$$T^{13} +$$$$10\!\cdots\!90$$$$T^{14} +$$$$24\!\cdots\!32$$$$T^{15} +$$$$36\!\cdots\!61$$$$T^{16}$$)($$1 + 14012 T^{2} + 93370418 T^{4} + 299624065680 T^{6} + 125638050198066 T^{8} - 2384336977726062060 T^{10} +$$$$12\!\cdots\!28$$$$T^{12} +$$$$94\!\cdots\!00$$$$T^{14} +$$$$53\!\cdots\!59$$$$T^{16} +$$$$13\!\cdots\!00$$$$T^{18} +$$$$23\!\cdots\!68$$$$T^{20} -$$$$63\!\cdots\!60$$$$T^{22} +$$$$46\!\cdots\!26$$$$T^{24} +$$$$15\!\cdots\!80$$$$T^{26} +$$$$65\!\cdots\!38$$$$T^{28} +$$$$13\!\cdots\!72$$$$T^{30} +$$$$13\!\cdots\!21$$$$T^{32}$$)
$67$ ($$( 1 + 72 T + 6042 T^{2} + 323208 T^{3} + 20151121 T^{4} )^{2}$$)($$( 1 + 8 T + 13036 T^{2} + 110808 T^{3} + 78626294 T^{4} + 497417112 T^{5} + 262690013356 T^{6} + 723667057352 T^{7} + 406067677556641 T^{8} )^{2}$$)($$( 1 - 56 T + 11352 T^{2} - 273028 T^{3} + 55716773 T^{4} - 1225622692 T^{5} + 228755525592 T^{6} - 5065669401464 T^{7} + 406067677556641 T^{8} )^{2}$$)($$1 - 62 T + 4489 T^{2}$$)($$( 1 - 62 T + 4489 T^{2} )^{2}$$)($$( 1 + 118 T + 4489 T^{2} )^{2}$$)($$( 1 - 17 T + 4489 T^{2} )^{2}$$)($$( 1 - 17 T + 4489 T^{2} )^{2}$$)($$( 1 + 62 T + 4489 T^{2} )^{2}$$)($$( 1 + 62 T + 4489 T^{2} )^{2}$$)($$( 1 + 112 T + 11602 T^{2} + 502768 T^{3} + 20151121 T^{4} )^{2}$$)($$( 1 + 217 T + 29036 T^{2} + 2316921 T^{3} + 130342604 T^{4} + 4372793257 T^{5} + 90458382169 T^{6} )^{2}$$)($$( 1 + 217 T + 29036 T^{2} + 2316921 T^{3} + 130342604 T^{4} + 4372793257 T^{5} + 90458382169 T^{6} )^{2}$$)($$( 1 - 89 T + 7940 T^{2} - 479161 T^{3} + 35642660 T^{4} - 1793449769 T^{5} + 90458382169 T^{6} )^{2}$$)($$( 1 - 89 T + 7940 T^{2} - 479161 T^{3} + 35642660 T^{4} - 1793449769 T^{5} + 90458382169 T^{6} )^{2}$$)($$( 1 - 152 T + 22224 T^{2} - 2037320 T^{3} + 158433022 T^{4} - 9145529480 T^{5} + 447838513104 T^{6} - 13749674089688 T^{7} + 406067677556641 T^{8} )^{2}$$)($$( 1 - 48 T + 3282 T^{2} - 215472 T^{3} + 20151121 T^{4} )^{4}$$)($$( 1 - 102 T + 23565 T^{2} - 1731032 T^{3} + 215987274 T^{4} - 11454684836 T^{5} + 969566872986 T^{6} - 34882235286872 T^{7} + 2131651775812485 T^{8} - 41418903110777382 T^{9} + 1822837804551761449 T^{10} )^{4}$$)($$( 1 - 67 T + 4489 T^{2} )^{2}( 1 + 67 T + 4489 T^{2} )^{2}$$)($$( 1 - 118 T + 9435 T^{2} - 529702 T^{3} + 20151121 T^{4} )( 1 + 118 T + 9435 T^{2} + 529702 T^{3} + 20151121 T^{4} )$$)($$( 1 - 67 T + 4489 T^{2} )^{2}( 1 + 67 T + 4489 T^{2} )^{2}$$)($$( 1 + 11884 T^{2} + 67106698 T^{4} + 401923012144 T^{6} + 2242183719349747 T^{8} + 8099199250398213424 T^{10} +$$$$27\!\cdots\!18$$$$T^{12} +$$$$97\!\cdots\!24$$$$T^{14} +$$$$16\!\cdots\!81$$$$T^{16} )^{2}$$)($$1 + 17 T - 4200 T^{2} + 76313 T^{3} + 20151121 T^{4}$$)($$1 + 62 T - 645 T^{2} + 278318 T^{3} + 20151121 T^{4}$$)($$1 + 17 T - 4200 T^{2} + 76313 T^{3} + 20151121 T^{4}$$)($$1 + 62 T - 645 T^{2} + 278318 T^{3} + 20151121 T^{4}$$)($$( 1 - 62 T - 645 T^{2} - 278318 T^{3} + 20151121 T^{4} )^{2}$$)($$( 1 - 62 T - 645 T^{2} - 278318 T^{3} + 20151121 T^{4} )^{2}$$)($$( 1 - 118 T + 9435 T^{2} - 529702 T^{3} + 20151121 T^{4} )^{2}$$)($$( 1 + 62 T - 645 T^{2} + 278318 T^{3} + 20151121 T^{4} )^{2}$$)($$( 1 - 112 T + 942 T^{2} - 293888 T^{3} + 58145267 T^{4} - 1319263232 T^{5} + 18982355982 T^{6} - 10131338802928 T^{7} + 406067677556641 T^{8} )^{2}$$)($$( 1 - 112 T + 942 T^{2} - 293888 T^{3} + 58145267 T^{4} - 1319263232 T^{5} + 18982355982 T^{6} - 10131338802928 T^{7} + 406067677556641 T^{8} )^{2}$$)($$( 1 + 89 T - 19 T^{2} - 251662 T^{3} - 15244389 T^{4} - 746405371 T^{5} - 32107721582 T^{6} - 3350613710419 T^{7} - 307191527310069 T^{8} - 22764937373414878 T^{9} - 7715285873576179 T^{10} +$$$$16\!\cdots\!61$$$$T^{11} +$$$$81\!\cdots\!61$$$$T^{12} )^{2}$$)($$( 1 - 217 T + 18053 T^{2} - 1666970 T^{3} + 209974835 T^{4} - 15078221277 T^{5} + 815515698066 T^{6} - 67686135312453 T^{7} + 4231228307040035 T^{8} - 150791409324257930 T^{9} + 7330739782930039973 T^{10} -$$$$39\!\cdots\!33$$$$T^{11} +$$$$81\!\cdots\!61$$$$T^{12} )^{2}$$)($$( 1 + 48 T - 978 T^{2} - 273408 T^{3} - 19722253 T^{4} - 1227328512 T^{5} - 19707796338 T^{6} + 4342002344112 T^{7} + 406067677556641 T^{8} )^{4}$$)($$( 1 + 152 T + 880 T^{2} - 696592 T^{3} + 25800514 T^{4} + 6259290472 T^{5} + 135213846720 T^{6} - 1900601864504 T^{7} + 289722470344099 T^{8} - 8531801769758456 T^{9} + 2724710586130173120 T^{10} +$$$$56\!\cdots\!68$$$$T^{11} +$$$$10\!\cdots\!74$$$$T^{12} -$$$$12\!\cdots\!08$$$$T^{13} +$$$$72\!\cdots\!80$$$$T^{14} +$$$$55\!\cdots\!08$$$$T^{15} +$$$$16\!\cdots\!81$$$$T^{16} )^{2}$$)($$( 1 + 152 T + 880 T^{2} - 696592 T^{3} + 25800514 T^{4} + 6259290472 T^{5} + 135213846720 T^{6} - 1900601864504 T^{7} + 289722470344099 T^{8} - 8531801769758456 T^{9} + 2724710586130173120 T^{10} +$$$$56\!\cdots\!68$$$$T^{11} +$$$$10\!\cdots\!74$$$$T^{12} -$$$$12\!\cdots\!08$$$$T^{13} +$$$$72\!\cdots\!80$$$$T^{14} +$$$$55\!\cdots\!08$$$$T^{15} +$$$$16\!\cdots\!81$$$$T^{16} )^{2}$$)($$( 1 - 72 T - 858 T^{2} + 211392 T^{3} - 6916333 T^{4} + 948938688 T^{5} - 17289661818 T^{6} - 6513003516168 T^{7} + 406067677556641 T^{8} )^{2}$$)($$( 1 + 4 T - 8454 T^{2} - 2032 T^{3} + 51517955 T^{4} - 9121648 T^{5} - 170357576934 T^{6} + 361833528676 T^{7} + 406067677556641 T^{8} )^{2}$$)($$1 + 56 T - 8216 T^{2} + 89656 T^{3} + 57861563 T^{4} - 1915242028 T^{5} - 169076337880 T^{6} + 5261680334092 T^{7} + 334184050069096 T^{8} + 23619683019738988 T^{9} - 3407077742856763480 T^{10} -$$$$17\!\cdots\!32$$$$T^{11} +$$$$23\!\cdots\!83$$$$T^{12} +$$$$16\!\cdots\!44$$$$T^{13} -$$$$67\!\cdots\!76$$$$T^{14} +$$$$20\!\cdots\!24$$$$T^{15} +$$$$16\!\cdots\!81$$$$T^{16}$$)($$( 1 - 8 T - 12972 T^{2} + 117328 T^{3} + 90424538 T^{4} - 683889496 T^{5} - 491293265904 T^{6} + 1431049394312 T^{7} + 2308060294080115 T^{8} + 6423980731066568 T^{9} - 9900110047716678384 T^{10} - 61863537390532796824 T^{11} +$$$$36\!\cdots\!58$$$$T^{12} +$$$$21\!\cdots\!72$$$$T^{13} -$$$$10\!\cdots\!92$$$$T^{14} -$$$$29\!\cdots\!32$$$$T^{15} +$$$$16\!\cdots\!81$$$$T^{16} )^{2}$$)
$71$ ($$( 1 - 128 T + 10306 T^{2} - 645248 T^{3} + 25411681 T^{4} )^{2}$$)($$( 1 - 176 T + 26980 T^{2} - 2550544 T^{3} + 218078086 T^{4} - 12857292304 T^{5} + 685607153380 T^{6} - 22545649970096 T^{7} + 645753531245761 T^{8} )^{2}$$)($$( 1 + 104 T + 20596 T^{2} + 1429880 T^{3} + 155212822 T^{4} + 7208025080 T^{5} + 523378981876 T^{6} + 13322429527784 T^{7} + 645753531245761 T^{8} )^{2}$$)($$( 1 - 71 T )( 1 + 71 T )$$)($$( 1 - 71 T )^{2}( 1 + 71 T )^{2}$$)($$( 1 - 114 T + 5041 T^{2} )( 1 + 114 T + 5041 T^{2} )$$)($$( 1 - 71 T )^{2}( 1 + 71 T )^{2}$$)($$( 1 - 71 T )^{2}( 1 + 71 T )^{2}$$)($$( 1 - 71 T )^{2}( 1 + 71 T )^{2}$$)($$( 1 - 71 T )^{2}( 1 + 71 T )^{2}$$)($$1 - 9412 T^{2} + 47279686 T^{4} - 239174741572 T^{6} + 645753531245761 T^{8}$$)($$1 - 23062 T^{2} + 245626031 T^{4} - 1559141837940 T^{6} + 6241770345068111 T^{8} - 14892367937589740182 T^{10} +$$$$16\!\cdots\!41$$$$T^{12}$$)($$1 - 23062 T^{2} + 245626031 T^{4} - 1559141837940 T^{6} + 6241770345068111 T^{8} - 14892367937589740182 T^{10} +$$$$16\!\cdots\!41$$$$T^{12}$$)($$1 - 7830 T^{2} + 72414895 T^{4} - 385201987444 T^{6} + 1840184211388495 T^{8} - 5056250149654308630 T^{10} +$$$$16\!\cdots\!41$$$$T^{12}$$)($$1 - 7830 T^{2} + 72414895 T^{4} - 385201987444 T^{6} + 1840184211388495 T^{8} - 5056250149654308630 T^{10} +$$$$16\!\cdots\!41$$$$T^{12}$$)($$1 - 9864 T^{2} + 51888284 T^{4} - 294531431096 T^{6} + 1789421441990854 T^{8} - 7484538771485032376 T^{10} +$$$$33\!\cdots\!24$$$$T^{12} -$$$$16\!\cdots\!24$$$$T^{14} +$$$$41\!\cdots\!21$$$$T^{16}$$)($$( 1 - 15108 T^{2} + 102348486 T^{4} - 383919676548 T^{6} + 645753531245761 T^{8} )^{2}$$)($$( 1 - 23626 T^{2} + 289482509 T^{4} - 2375966480504 T^{6} + 15008931791050834 T^{8} - 80378254386601783164 T^{10} +$$$$38\!\cdots\!54$$$$T^{12} -$$$$15\!\cdots\!44$$$$T^{14} +$$$$47\!\cdots\!69$$$$T^{16} -$$$$98\!\cdots\!46$$$$T^{18} +$$$$10\!\cdots\!01$$$$T^{20} )^{2}$$)($$( 1 + 110 T + 5041 T^{2} )^{4}$$)($$( 1 + 114 T + 5041 T^{2} )^{4}$$)($$( 1 - 110 T + 5041 T^{2} )^{4}$$)($$( 1 - 136 T + 12678 T^{2} - 685576 T^{3} + 25411681 T^{4} )^{8}$$)($$( 1 - 71 T )^{2}( 1 + 71 T )^{2}$$)($$( 1 - 71 T )^{2}( 1 + 71 T )^{2}$$)($$( 1 - 71 T )^{2}( 1 + 71 T )^{2}$$)($$( 1 - 71 T )^{2}( 1 + 71 T )^{2}$$)($$( 1 - 71 T )^{4}( 1 + 71 T )^{4}$$)($$( 1 - 71 T )^{4}( 1 + 71 T )^{4}$$)($$( 1 - 114 T + 5041 T^{2} )^{2}( 1 + 114 T + 5041 T^{2} )^{2}$$)($$( 1 - 71 T )^{4}( 1 + 71 T )^{4}$$)($$( 1 - 9412 T^{2} + 47279686 T^{4} - 239174741572 T^{6} + 645753531245761 T^{8} )^{2}$$)($$( 1 - 9412 T^{2} + 47279686 T^{4} - 239174741572 T^{6} + 645753531245761 T^{8} )^{2}$$)($$( 1 - 7830 T^{2} + 72414895 T^{4} - 385201987444 T^{6} + 1840184211388495 T^{8} - 5056250149654308630 T^{10} +$$$$16\!\cdots\!41$$$$T^{12} )^{2}$$)($$( 1 - 23062 T^{2} + 245626031 T^{4} - 1559141837940 T^{6} + 6241770345068111 T^{8} - 14892367937589740182 T^{10} +$$$$16\!\cdots\!41$$$$T^{12} )^{2}$$)($$( 1 - 15108 T^{2} + 102348486 T^{4} - 383919676548 T^{6} + 645753531245761 T^{8} )^{4}$$)($$( 1 - 9864 T^{2} + 51888284 T^{4} - 294531431096 T^{6} + 1789421441990854 T^{8} - 7484538771485032376 T^{10} +$$$$33\!\cdots\!24$$$$T^{12} -$$$$16\!\cdots\!24$$$$T^{14} +$$$$41\!\cdots\!21$$$$T^{16} )^{2}$$)($$( 1 - 9864 T^{2} + 51888284 T^{4} - 294531431096 T^{6} + 1789421441990854 T^{8} - 7484538771485032376 T^{10} +$$$$33\!\cdots\!24$$$$T^{12} -$$$$16\!\cdots\!24$$$$T^{14} +$$$$41\!\cdots\!21$$$$T^{16} )^{2}$$)($$( 1 - 128 T + 10306 T^{2} - 645248 T^{3} + 25411681 T^{4} )^{4}$$)($$( 1 + 124 T + 13638 T^{2} + 625084 T^{3} + 25411681 T^{4} )^{4}$$)($$( 1 + 104 T + 20596 T^{2} + 1429880 T^{3} + 155212822 T^{4} + 7208025080 T^{5} + 523378981876 T^{6} + 13322429527784 T^{7} + 645753531245761 T^{8} )^{2}$$)($$( 1 - 176 T + 26980 T^{2} - 2550544 T^{3} + 218078086 T^{4} - 12857292304 T^{5} + 685607153380 T^{6} - 22545649970096 T^{7} + 645753531245761 T^{8} )^{4}$$)
$73$ ($$1 - 8576 T^{2} + 45214144 T^{4} - 243543314816 T^{6} + 806460091894081 T^{8}$$)($$1 - 11392 T^{2} + 112856896 T^{4} - 809579310208 T^{6} + 4985137526395522 T^{8} - 22990628359900544128 T^{10} +$$$$91\!\cdots\!76$$$$T^{12} -$$$$26\!\cdots\!32$$$$T^{14} +$$$$65\!\cdots\!61$$$$T^{16}$$)($$1 - 32364 T^{2} + 503318394 T^{4} - 4825008556176 T^{6} + 31048369570072259 T^{8} -$$$$13\!\cdots\!16$$$$T^{10} +$$$$40\!\cdots\!14$$$$T^{12} -$$$$74\!\cdots\!44$$$$T^{14} +$$$$65\!\cdots\!61$$$$T^{16}$$)($$1 - 142 T + 5329 T^{2}$$)($$1 + 9506 T^{2} + 28398241 T^{4}$$)($$( 1 + 5329 T^{2} )^{2}$$)($$( 1 + 119 T + 5329 T^{2} )^{2}$$)($$( 1 - 119 T + 5329 T^{2} )^{2}$$)($$1 - 48 T + 1152 T^{2} - 255792 T^{3} + 28398241 T^{4}$$)($$1 + 48 T + 1152 T^{2} + 255792 T^{3} + 28398241 T^{4}$$)($$( 1 + 116 T + 13894 T^{2} + 618164 T^{3} + 28398241 T^{4} )^{2}$$)($$( 1 - 51 T + 11766 T^{2} - 589863 T^{3} + 62701014 T^{4} - 1448310291 T^{5} + 151334226289 T^{6} )^{2}$$)($$( 1 + 51 T + 11766 T^{2} + 589863 T^{3} + 62701014 T^{4} + 1448310291 T^{5} + 151334226289 T^{6} )^{2}$$)($$( 1 + 27 T + 13606 T^{2} + 291775 T^{3} + 72506374 T^{4} + 766752507 T^{5} + 151334226289 T^{6} )^{2}$$)($$( 1 - 27 T + 13606 T^{2} - 291775 T^{3} + 72506374 T^{4} - 766752507 T^{5} + 151334226289 T^{6} )^{2}$$)($$( 1 - 56 T + 18460 T^{2} - 736008 T^{3} + 138223494 T^{4} - 3922186632 T^{5} + 524231528860 T^{6} - 8474716672184 T^{7} + 806460091894081 T^{8} )^{2}$$)($$( 1 + 11076 T^{2} + 85368774 T^{4} + 314538917316 T^{6} + 806460091894081 T^{8} )^{2}$$)($$( 1 + 23264 T^{2} + 300948133 T^{4} + 2669209717632 T^{6} + 18537569941566730 T^{8} +$$$$10\!\cdots\!72$$$$T^{10} +$$$$52\!\cdots\!30$$$$T^{12} +$$$$21\!\cdots\!92$$$$T^{14} +$$$$68\!\cdots\!93$$$$T^{16} +$$$$15\!\cdots\!04$$$$T^{18} +$$$$18\!\cdots\!01$$$$T^{20} )^{2}$$)($$( 1 - 73 T + 5329 T^{2} )^{2}( 1 + 73 T + 5329 T^{2} )^{2}$$)($$( 1 - 73 T + 5329 T^{2} )^{2}( 1 + 73 T + 5329 T^{2} )^{2}$$)($$( 1 - 73 T + 5329 T^{2} )^{2}( 1 + 73 T + 5329 T^{2} )^{2}$$)($$( 1 + 9364 T^{2} + 14779882 T^{4} + 150836548048 T^{6} + 2018537201223379 T^{8} + 4283492643075183568 T^{10} +$$$$11\!\cdots\!42$$$$T^{12} +$$$$21\!\cdots\!44$$$$T^{14} +$$$$65\!\cdots\!61$$$$T^{16} )^{2}$$)($$1 - 119 T + 8832 T^{2} - 634151 T^{3} + 28398241 T^{4}$$)($$1 + 142 T + 14835 T^{2} + 756718 T^{3} + 28398241 T^{4}$$)($$1 - 119 T + 8832 T^{2} - 634151 T^{3} + 28398241 T^{4}$$)($$1 - 142 T + 14835 T^{2} - 756718 T^{3} + 28398241 T^{4}$$)($$1 - 48 T + 1152 T^{2} + 456288 T^{3} - 39349153 T^{4} + 2431558752 T^{5} + 32714773632 T^{6} - 7264042861872 T^{7} + 806460091894081 T^{8}$$)($$1 + 48 T + 1152 T^{2} - 456288 T^{3} - 39349153 T^{4} - 2431558752 T^{5} + 32714773632 T^{6} + 7264042861872 T^{7} + 806460091894081 T^{8}$$)($$( 1 - 5329 T^{2} + 28398241 T^{4} )^{2}$$)($$1 - 9506 T^{2} + 61965795 T^{4} - 269953678946 T^{6} + 806460091894081 T^{8}$$)($$( 1 + 116 T - 438 T^{2} + 375376 T^{3} + 92937971 T^{4} + 2000378704 T^{5} - 12438429558 T^{6} + 17554770249524 T^{7} + 806460091894081 T^{8} )^{2}$$)($$( 1 - 116 T - 438 T^{2} - 375376 T^{3} + 92937971 T^{4} - 2000378704 T^{5} - 12438429558 T^{6} - 17554770249524 T^{7} + 806460091894081 T^{8} )^{2}$$)($$( 1 + 27 T - 12877 T^{2} - 216188 T^{3} + 104738937 T^{4} + 821298961 T^{5} - 619422939130 T^{6} + 4376702163169 T^{7} + 2974401575009817 T^{8} - 32716643712966332 T^{9} - 10384786603320081037 T^{10} +$$$$11\!\cdots\!23$$$$T^{11} +$$$$22\!\cdots\!21$$$$T^{12} )^{2}$$)($$( 1 + 51 T - 9165 T^{2} - 579660 T^{3} + 45654729 T^{4} + 1993134921 T^{5} - 160997144218 T^{6} + 10621415994009 T^{7} + 1296513996931689 T^{8} - 87722397610681740 T^{9} - 7391206742209252365 T^{10} +$$$$21\!\cdots\!99$$$$T^{11} +$$$$22\!\cdots\!21$$$$T^{12} )^{2}$$)($$( 1 - 11076 T^{2} + 37309002 T^{4} - 316466706192 T^{6} + 2997534434176979 T^{8} - 8987097790916608272 T^{10} +$$$$30\!\cdots\!62$$$$T^{12} -$$$$25\!\cdots\!96$$$$T^{14} +$$$$65\!\cdots\!61$$$$T^{16} )^{2}$$)($$( 1 + 56 T - 15324 T^{2} - 438256 T^{3} + 161331658 T^{4} + 2027862984 T^{5} - 1181077316848 T^{6} - 5241850793144 T^{7} + 6684367707557907 T^{8} - 27933822876664376 T^{9} - 33540518283482864368 T^{10} +$$$$30\!\cdots\!76$$$$T^{11} +$$$$13\!\cdots\!98$$$$T^{12} -$$$$18\!\cdots\!44$$$$T^{13} -$$$$35\!\cdots\!04$$$$T^{14} +$$$$68\!\cdots\!04$$$$T^{15} +$$$$65\!\cdots\!61$$$$T^{16} )^{2}$$)($$( 1 - 56 T - 15324 T^{2} + 438256 T^{3} + 161331658 T^{4} - 2027862984 T^{5} - 1181077316848 T^{6} + 5241850793144 T^{7} + 6684367707557907 T^{8} + 27933822876664376 T^{9} - 33540518283482864368 T^{10} -$$$$30\!\cdots\!76$$$$T^{11} +$$$$13\!\cdots\!98$$$$T^{12} +$$$$18\!\cdots\!44$$$$T^{13} -$$$$35\!\cdots\!04$$$$T^{14} -$$$$68\!\cdots\!04$$$$T^{15} +$$$$65\!\cdots\!61$$$$T^{16} )^{2}$$)($$1 + 8576 T^{2} + 28333632 T^{4} - 99330130688 T^{6} - 850768742103361 T^{8} - 2820800989839319808 T^{10} +$$$$22\!\cdots\!92$$$$T^{12} +$$$$19\!\cdots\!96$$$$T^{14} +$$$$65\!\cdots\!61$$$$T^{16}$$)($$1 + 18180 T^{2} + 192317130 T^{4} + 1479829965840 T^{6} + 8905501769790419 T^{8} + 42024568008946087440 T^{10} +$$$$15\!\cdots\!30$$$$T^{12} +$$$$41\!\cdots\!80$$$$T^{14} +$$$$65\!\cdots\!61$$$$T^{16}$$)($$1 - 156 T + 28350 T^{2} - 3157128 T^{3} + 362705769 T^{4} - 30616526040 T^{5} + 2796887810814 T^{6} - 202276783979268 T^{7} + 16208192683154804 T^{8} - 1077932981825519172 T^{9} + 79426694101458378174 T^{10} -$$$$46\!\cdots\!60$$$$T^{11} +$$$$29\!\cdots\!89$$$$T^{12} -$$$$13\!\cdots\!72$$$$T^{13} +$$$$64\!\cdots\!50$$$$T^{14} -$$$$19\!\cdots\!04$$$$T^{15} +$$$$65\!\cdots\!61$$$$T^{16}$$)($$1 + 11392 T^{2} + 16920768 T^{4} - 333492861184 T^{6} - 1471186053530242 T^{8} + 775862974400965248 T^{10} +$$$$12\!\cdots\!28$$$$T^{12} +$$$$14\!\cdots\!24$$$$T^{14} +$$$$12\!\cdots\!91$$$$T^{16} +$$$$40\!\cdots\!84$$$$T^{18} +$$$$10\!\cdots\!68$$$$T^{20} +$$$$17\!\cdots\!08$$$$T^{22} -$$$$95\!\cdots\!62$$$$T^{24} -$$$$61\!\cdots\!84$$$$T^{26} +$$$$88\!\cdots\!88$$$$T^{28} +$$$$16\!\cdots\!52$$$$T^{30} +$$$$42\!\cdots\!21$$$$T^{32}$$)
$79$ ($$( 1 - 8 T + 12490 T^{2} - 49928 T^{3} + 38950081 T^{4} )^{2}$$)($$( 1 + 56 T + 8044 T^{2} - 440408 T^{3} - 7844522 T^{4} - 2748586328 T^{5} + 313314451564 T^{6} + 13612897509176 T^{7} + 1517108809906561 T^{8} )^{2}$$)($$( 1 - 160 T + 25968 T^{2} - 2966996 T^{3} + 246176957 T^{4} - 18517022036 T^{5} + 1011455703408 T^{6} - 38893992883360 T^{7} + 1517108809906561 T^{8} )^{2}$$)($$( 1 - 79 T )( 1 + 79 T )$$)($$( 1 - 79 T )^{2}( 1 + 79 T )^{2}$$)($$( 1 - 94 T + 6241 T^{2} )( 1 + 94 T + 6241 T^{2} )$$)($$1 - 6935 T^{2} + 38950081 T^{4}$$)($$1 - 6935 T^{2} + 38950081 T^{4}$$)($$( 1 - 79 T )^{2}( 1 + 79 T )^{2}$$)($$( 1 - 79 T )^{2}( 1 + 79 T )^{2}$$)($$1 - 16900 T^{2} + 142880134 T^{4} - 658256368900 T^{6} + 1517108809906561 T^{8}$$)($$1 - 16693 T^{2} + 129404966 T^{4} - 759834693213 T^{6} + 5040333907502246 T^{8} - 25325097363770222773 T^{10} +$$$$59\!\cdots\!41$$$$T^{12}$$)($$1 - 16693 T^{2} + 129404966 T^{4} - 759834693213 T^{6} + 5040333907502246 T^{8} - 25325097363770222773 T^{10} +$$$$59\!\cdots\!41$$$$T^{12}$$)($$1 - 27485 T^{2} + 365442726 T^{4} - 2879410039557 T^{6} + 14234023778560806 T^{8} - 41697735640281829085 T^{10} +$$$$59\!\cdots\!41$$$$T^{12}$$)($$1 - 27485 T^{2} + 365442726 T^{4} - 2879410039557 T^{6} + 14234023778560806 T^{8} - 41697735640281829085 T^{10} +$$$$59\!\cdots\!41$$$$T^{12}$$)($$1 - 24968 T^{2} + 330869788 T^{4} - 3106127956152 T^{6} + 22189846569597766 T^{8} -$$$$12\!\cdots\!12$$$$T^{10} +$$$$50\!\cdots\!68$$$$T^{12} -$$$$14\!\cdots\!88$$$$T^{14} +$$$$23\!\cdots\!21$$$$T^{16}$$)($$( 1 - 20932 T^{2} + 184783110 T^{4} - 815303095492 T^{6} + 1517108809906561 T^{8} )^{2}$$)($$( 1 - 9386 T^{2} + 102168557 T^{4} - 949212299768 T^{6} + 6313904398795218 T^{8} - 44563392388311790268 T^{10} +$$$$24\!\cdots\!58$$$$T^{12} -$$$$14\!\cdots\!48$$$$T^{14} +$$$$60\!\cdots\!37$$$$T^{16} -$$$$21\!\cdots\!06$$$$T^{18} +$$$$89\!\cdots\!01$$$$T^{20} )^{2}$$)($$( 1 + 130 T + 10659 T^{2} + 811330 T^{3} + 38950081 T^{4} )^{2}$$)($$( 1 + 94 T + 2595 T^{2} + 586654 T^{3} + 38950081 T^{4} )^{2}$$)($$( 1 - 130 T + 10659 T^{2} - 811330 T^{3} + 38950081 T^{4} )^{2}$$)($$( 1 - 8 T - 11462 T^{2} + 7648 T^{3} + 93499171 T^{4} + 47731168 T^{5} - 446445828422 T^{6} - 1944699644168 T^{7} + 1517108809906561 T^{8} )^{4}$$)($$1 - 129 T + 11788 T^{2} - 805089 T^{3} + 38950081 T^{4}$$)($$( 1 - 79 T + 6241 T^{2} )( 1 + 79 T + 6241 T^{2} )$$)($$1 + 129 T + 11788 T^{2} + 805089 T^{3} + 38950081 T^{4}$$)($$( 1 - 79 T + 6241 T^{2} )( 1 + 79 T + 6241 T^{2} )$$)($$( 1 - 79 T + 6241 T^{2} )^{2}( 1 + 79 T + 6241 T^{2} )^{2}$$)($$( 1 - 79 T + 6241 T^{2} )^{2}( 1 + 79 T + 6241 T^{2} )^{2}$$)($$( 1 - 94 T + 2595 T^{2} - 586654 T^{3} + 38950081 T^{4} )( 1 + 94 T + 2595 T^{2} + 586654 T^{3} + 38950081 T^{4} )$$)($$( 1 - 79 T + 6241 T^{2} )^{2}( 1 + 79 T + 6241 T^{2} )^{2}$$)($$1 + 16900 T^{2} + 142729866 T^{4} + 1098161526800 T^{6} + 7773091247541395 T^{8} + 42773480419943670800 T^{10} +$$$$21\!\cdots\!26$$$$T^{12} +$$$$99\!\cdots\!00$$$$T^{14} +$$$$23\!\cdots\!21$$$$T^{16}$$)($$1 + 16900 T^{2} + 142729866 T^{4} + 1098161526800 T^{6} + 7773091247541395 T^{8} + 42773480419943670800 T^{10} +$$$$21\!\cdots\!26$$$$T^{12} +$$$$99\!\cdots\!00$$$$T^{14} +$$$$23\!\cdots\!21$$$$T^{16}$$)($$1 + 27485 T^{2} + 389982499 T^{4} + 4285373244996 T^{6} + 40173777270526125 T^{8} +$$$$31\!\cdots\!47$$$$T^{10} +$$$$20\!\cdots\!50$$$$T^{12} +$$$$12\!\cdots\!07$$$$T^{14} +$$$$60\!\cdots\!25$$$$T^{16} +$$$$25\!\cdots\!36$$$$T^{18} +$$$$89\!\cdots\!79$$$$T^{20} +$$$$24\!\cdots\!85$$$$T^{22} +$$$$34\!\cdots\!81$$$$T^{24}$$)($$1 + 16693 T^{2} + 149251283 T^{4} + 640487711012 T^{6} - 978609215845699 T^{8} - 44625107831251066425 T^{10} -$$$$37\!\cdots\!74$$$$T^{12} -$$$$17\!\cdots\!25$$$$T^{14} -$$$$14\!\cdots\!39$$$$T^{16} +$$$$37\!\cdots\!92$$$$T^{18} +$$$$34\!\cdots\!43$$$$T^{20} +$$$$14\!\cdots\!93$$$$T^{22} +$$$$34\!\cdots\!81$$$$T^{24}$$)($$( 1 + 20932 T^{2} + 253365514 T^{4} + 2237273867536 T^{6} + 15561764536526995 T^{8} + 87141998359710470416 T^{10} +$$$$38\!\cdots\!54$$$$T^{12} +$$$$12\!\cdots\!12$$$$T^{14} +$$$$23\!\cdots\!21$$$$T^{16} )^{2}$$)($$1 + 24968 T^{2} + 292531236 T^{4} + 2048900954480 T^{6} + 9731167232364042 T^{8} + 40635655541936341112 T^{10} +$$$$28\!\cdots\!16$$$$T^{12} +$$$$28\!\cdots\!32$$$$T^{14} +$$$$21\!\cdots\!95$$$$T^{16} +$$$$11\!\cdots\!92$$$$T^{18} +$$$$43\!\cdots\!76$$$$T^{20} +$$$$24\!\cdots\!92$$$$T^{22} +$$$$22\!\cdots\!82$$$$T^{24} +$$$$18\!\cdots\!80$$$$T^{26} +$$$$10\!\cdots\!16$$$$T^{28} +$$$$33\!\cdots\!48$$$$T^{30} +$$$$52\!\cdots\!41$$$$T^{32}$$)($$1 + 24968 T^{2} + 292531236 T^{4} + 2048900954480 T^{6} + 9731167232364042 T^{8} + 40635655541936341112 T^{10} +$$$$28\!\cdots\!16$$$$T^{12} +$$$$28\!\cdots\!32$$$$T^{14} +$$$$21\!\cdots\!95$$$$T^{16} +$$$$11\!\cdots\!92$$$$T^{18} +$$$$43\!\cdots\!76$$$$T^{20} +$$$$24\!\cdots\!92$$$$T^{22} +$$$$22\!\cdots\!82$$$$T^{24} +$$$$18\!\cdots\!80$$$$T^{26} +$$$$10\!\cdots\!16$$$$T^{28} +$$$$33\!\cdots\!48$$$$T^{30} +$$$$52\!\cdots\!41$$$$T^{32}$$)($$( 1 + 8 T - 12426 T^{2} + 64 T^{3} + 116650595 T^{4} + 399424 T^{5} - 483993706506 T^{6} + 1944699644168 T^{7} + 1517108809906561 T^{8} )^{2}$$)($$( 1 - 124 T - 150 T^{2} - 377456 T^{3} + 106144979 T^{4} - 2355702896 T^{5} - 5842512150 T^{6} - 30142844484604 T^{7} + 1517108809906561 T^{8} )^{2}$$)($$1 + 160 T - 368 T^{2} - 1779112 T^{3} - 46559293 T^{4} + 16787347924 T^{5} + 1470529925696 T^{6} - 30567104321884 T^{7} - 9673348948274312 T^{8} - 190769298072878044 T^{9} + 57277259718783181376 T^{10} +$$$$40\!\cdots\!04$$$$T^{11} -$$$$70\!\cdots\!73$$$$T^{12} -$$$$16\!\cdots\!12$$$$T^{13} -$$$$21\!\cdots\!88$$$$T^{14} +$$$$59\!\cdots\!60$$$$T^{15} +$$$$23\!\cdots\!21$$$$T^{16}$$)($$( 1 - 56 T - 4908 T^{2} - 1331280 T^{3} + 97213306 T^{4} + 5412641816 T^{5} + 1037610278928 T^{6} - 78832553886600 T^{7} - 3661728619393005 T^{8} - 491993968806270600 T^{9} + 40415004410678193168 T^{10} +$$$$13\!\cdots\!36$$$$T^{11} +$$$$14\!\cdots\!66$$$$T^{12} -$$$$12\!\cdots\!80$$$$T^{13} -$$$$29\!\cdots\!28$$$$T^{14} -$$$$20\!\cdots\!36$$$$T^{15} +$$$$23\!\cdots\!21$$$$T^{16} )^{2}$$)
$83$ ($$1 - 15456 T^{2} + 136337376 T^{4} - 733515809376 T^{6} + 2252292232139041 T^{8}$$)($$1 - 30532 T^{2} + 391171014 T^{4} - 2905150710404 T^{6} + 18364696043780354 T^{8} -$$$$13\!\cdots\!84$$$$T^{10} +$$$$88\!\cdots\!74$$$$T^{12} -$$$$32\!\cdots\!52$$$$T^{14} +$$$$50\!\cdots\!81$$$$T^{16}$$)($$1 - 31656 T^{2} + 548966172 T^{4} - 6241105138200 T^{6} + 50625160453300358 T^{8} -$$$$29\!\cdots\!00$$$$T^{10} +$$$$12\!\cdots\!52$$$$T^{12} -$$$$33\!\cdots\!16$$$$T^{14} +$$$$50\!\cdots\!81$$$$T^{16}$$)($$1 + 158 T + 6889 T^{2}$$)($$1 + 11186 T^{2} + 47458321 T^{4}$$)($$( 1 + 6889 T^{2} )^{2}$$)($$( 1 + 110 T + 6889 T^{2} )^{2}$$)($$( 1 - 110 T + 6889 T^{2} )^{2}$$)($$1 + 72 T + 2592 T^{2} + 496008 T^{3} + 47458321 T^{4}$$)($$1 - 72 T + 2592 T^{2} - 496008 T^{3} + 47458321 T^{4}$$)($$( 1 + 44 T + 13924 T^{2} + 303116 T^{3} + 47458321 T^{4} )^{2}$$)($$( 1 - 134 T + 22583 T^{2} - 1661172 T^{3} + 155574287 T^{4} - 6359415014 T^{5} + 326940373369 T^{6} )^{2}$$)($$( 1 + 134 T + 22583 T^{2} + 1661172 T^{3} + 155574287 T^{4} + 6359415014 T^{5} + 326940373369 T^{6} )^{2}$$)($$( 1 + 98 T + 12183 T^{2} + 526716 T^{3} + 83928687 T^{4} + 4650915458 T^{5} + 326940373369 T^{6} )^{2}$$)($$( 1 - 98 T + 12183 T^{2} - 526716 T^{3} + 83928687 T^{4} - 4650915458 T^{5} + 326940373369 T^{6} )^{2}$$)($$( 1 + 36 T + 16478 T^{2} + 177884 T^{3} + 135298114 T^{4} + 1225442876 T^{5} + 782018213438 T^{6} + 11769853441284 T^{7} + 2252292232139041 T^{8} )^{2}$$)($$( 1 + 12816 T^{2} + 133550298 T^{4} + 608225841936 T^{6} + 2252292232139041 T^{8} )^{2}$$)($$( 1 + 47364 T^{2} + 1084686033 T^{4} + 16005550239040 T^{6} + 169317028666165134 T^{8} +$$$$13\!\cdots\!76$$$$T^{10} +$$$$80\!\cdots\!14$$$$T^{12} +$$$$36\!\cdots\!40$$$$T^{14} +$$$$11\!\cdots\!13$$$$T^{16} +$$$$24\!\cdots\!84$$$$T^{18} +$$$$24\!\cdots\!01$$$$T^{20} )^{2}$$)($$( 1 + 13130 T^{2} + 47458321 T^{4} )^{2}$$)($$( 1 + 6889 T^{2} )^{4}$$)($$( 1 - 13130 T^{2} + 47458321 T^{4} )^{2}$$)($$( 1 + 6608 T^{2} - 3756750 T^{4} + 313604585168 T^{6} + 2252292232139041 T^{8} )^{4}$$)($$( 1 + 110 T + 6889 T^{2} )^{2}$$)($$( 1 + 158 T + 6889 T^{2} )^{2}$$)($$( 1 + 110 T + 6889 T^{2} )^{2}$$)($$( 1 - 158 T + 6889 T^{2} )^{2}$$)($$( 1 - 72 T + 2592 T^{2} - 496008 T^{3} + 47458321 T^{4} )^{2}$$)($$( 1 + 72 T + 2592 T^{2} + 496008 T^{3} + 47458321 T^{4} )^{2}$$)($$( 1 + 6889 T^{2} )^{4}$$)($$( 1 + 11186 T^{2} + 47458321 T^{4} )^{2}$$)($$( 1 - 44 T + 13924 T^{2} - 303116 T^{3} + 47458321 T^{4} )^{4}$$)($$( 1 + 44 T + 13924 T^{2} + 303116 T^{3} + 47458321 T^{4} )^{4}$$)($$( 1 - 98 T + 12183 T^{2} - 526716 T^{3} + 83928687 T^{4} - 4650915458 T^{5} + 326940373369 T^{6} )^{4}$$)($$( 1 - 134 T + 22583 T^{2} - 1661172 T^{3} + 155574287 T^{4} - 6359415014 T^{5} + 326940373369 T^{6} )^{4}$$)($$( 1 + 12816 T^{2} + 133550298 T^{4} + 608225841936 T^{6} + 2252292232139041 T^{8} )^{4}$$)($$( 1 + 36 T + 16478 T^{2} + 177884 T^{3} + 135298114 T^{4} + 1225442876 T^{5} + 782018213438 T^{6} + 11769853441284 T^{7} + 2252292232139041 T^{8} )^{4}$$)($$( 1 - 36 T + 16478 T^{2} - 177884 T^{3} + 135298114 T^{4} - 1225442876 T^{5} + 782018213438 T^{6} - 11769853441284 T^{7} + 2252292232139041 T^{8} )^{4}$$)($$( 1 - 15456 T^{2} + 136337376 T^{4} - 733515809376 T^{6} + 2252292232139041 T^{8} )^{2}$$)($$( 1 - 16404 T^{2} + 162018918 T^{4} - 778506297684 T^{6} + 2252292232139041 T^{8} )^{2}$$)($$1 - 31656 T^{2} + 548966172 T^{4} - 6241105138200 T^{6} + 50625160453300358 T^{8} -$$$$29\!\cdots\!00$$$$T^{10} +$$$$12\!\cdots\!52$$$$T^{12} -$$$$33\!\cdots\!16$$$$T^{14} +$$$$50\!\cdots\!81$$$$T^{16}$$)($$( 1 - 30532 T^{2} + 391171014 T^{4} - 2905150710404 T^{6} + 18364696043780354 T^{8} -$$$$13\!\cdots\!84$$$$T^{10} +$$$$88\!\cdots\!74$$$$T^{12} -$$$$32\!\cdots\!52$$$$T^{14} +$$$$50\!\cdots\!81$$$$T^{16} )^{2}$$)
$89$ ($$1 - 19152 T^{2} + 202463520 T^{4} - 1201639399632 T^{6} + 3936588805702081 T^{8}$$)($$1 - 39312 T^{2} + 791629472 T^{4} - 10315704610704 T^{6} + 95796536143307650 T^{8} -$$$$64\!\cdots\!64$$$$T^{10} +$$$$31\!\cdots\!32$$$$T^{12} -$$$$97\!\cdots\!52$$$$T^{14} +$$$$15\!\cdots\!61$$$$T^{16}$$)($$1 - 25596 T^{2} + 310291338 T^{4} - 2600866131312 T^{6} + 19850543509067027 T^{8} -$$$$16\!\cdots\!92$$$$T^{10} +$$$$12\!\cdots\!78$$$$T^{12} -$$$$63\!\cdots\!16$$$$T^{14} +$$$$15\!\cdots\!61$$$$T^{16}$$)($$1 + 146 T + 7921 T^{2}$$)($$1 + 5474 T^{2} + 62742241 T^{4}$$)($$( 1 + 7921 T^{2} )^{2}$$)($$( 1 + 71 T + 7921 T^{2} )^{2}$$)($$( 1 - 71 T + 7921 T^{2} )^{2}$$)($$1 + 144 T + 10368 T^{2} + 1140624 T^{3} + 62742241 T^{4}$$)($$1 - 144 T + 10368 T^{2} - 1140624 T^{3} + 62742241 T^{4}$$)($$( 1 + 156 T + 20774 T^{2} + 1235676 T^{3} + 62742241 T^{4} )^{2}$$)($$( 1 - 107 T + 10054 T^{2} - 786431 T^{3} + 79637734 T^{4} - 6713419787 T^{5} + 496981290961 T^{6} )^{2}$$)($$( 1 + 107 T + 10054 T^{2} + 786431 T^{3} + 79637734 T^{4} + 6713419787 T^{5} + 496981290961 T^{6} )^{2}$$)($$( 1 - 13 T + 19350 T^{2} - 196649 T^{3} + 153271350 T^{4} - 815649133 T^{5} + 496981290961 T^{6} )^{2}$$)($$( 1 + 13 T + 19350 T^{2} + 196649 T^{3} + 153271350 T^{4} + 815649133 T^{5} + 496981290961 T^{6} )^{2}$$)($$( 1 - 256 T + 48252 T^{2} - 6269952 T^{3} + 638304966 T^{4} - 49664289792 T^{5} + 3027438612732 T^{6} - 127227210486016 T^{7} + 3936588805702081 T^{8} )^{2}$$)($$( 1 + 16068 T^{2} + 129441606 T^{4} + 1008142328388 T^{6} + 3936588805702081 T^{8} )^{2}$$)($$( 1 + 64704 T^{2} + 1957125477 T^{4} + 36658811785984 T^{6} + 472440339049511562 T^{8} +$$$$43\!\cdots\!52$$$$T^{10} +$$$$29\!\cdots\!42$$$$T^{12} +$$$$14\!\cdots\!04$$$$T^{14} +$$$$48\!\cdots\!17$$$$T^{16} +$$$$10\!\cdots\!44$$$$T^{18} +$$$$97\!\cdots\!01$$$$T^{20} )^{2}$$)($$( 1 - 89 T + 7921 T^{2} )^{2}( 1 + 89 T + 7921 T^{2} )^{2}$$)($$( 1 - 89 T + 7921 T^{2} )^{2}( 1 + 89 T + 7921 T^{2} )^{2}$$)($$( 1 - 89 T + 7921 T^{2} )^{2}( 1 + 89 T + 7921 T^{2} )^{2}$$)($$( 1 + 17428 T^{2} + 123225706 T^{4} + 958975630288 T^{6} + 9590056727423059 T^{8} + 60168280108656595408 T^{10} +$$$$48\!\cdots\!86$$$$T^{12} +$$$$43\!\cdots\!88$$$$T^{14} +$$$$15\!\cdots\!61$$$$T^{16} )^{2}$$)($$1 - 71 T - 2880 T^{2} - 562391 T^{3} + 62742241 T^{4}$$)($$1 - 146 T + 13395 T^{2} - 1156466 T^{3} + 62742241 T^{4}$$)($$1 - 71 T - 2880 T^{2} - 562391 T^{3} + 62742241 T^{4}$$)($$1 + 146 T + 13395 T^{2} + 1156466 T^{3} + 62742241 T^{4}$$)($$1 + 144 T + 10368 T^{2} - 788256 T^{3} - 119496673 T^{4} - 6243775776 T^{5} + 650511554688 T^{6} + 71565305898384 T^{7} + 3936588805702081 T^{8}$$)($$1 - 144 T + 10368 T^{2} + 788256 T^{3} - 119496673 T^{4} + 6243775776 T^{5} + 650511554688 T^{6} - 71565305898384 T^{7} + 3936588805702081 T^{8}$$)($$( 1 - 7921 T^{2} + 62742241 T^{4} )^{2}$$)($$1 - 5474 T^{2} - 32777565 T^{4} - 343451027234 T^{6} + 3936588805702081 T^{8}$$)($$( 1 + 156 T + 3562 T^{2} + 769392 T^{3} + 176051379 T^{4} + 6094354032 T^{5} + 223487862442 T^{6} + 77529081389916 T^{7} + 3936588805702081 T^{8} )^{2}$$)($$( 1 - 156 T + 3562 T^{2} - 769392 T^{3} + 176051379 T^{4} - 6094354032 T^{5} + 223487862442 T^{6} - 77529081389916 T^{7} + 3936588805702081 T^{8} )^{2}$$)($$( 1 - 13 T - 19181 T^{2} + 141748 T^{3} + 218594713 T^{4} - 635752183 T^{5} - 1943770650106 T^{6} - 5035793041543 T^{7} + 13715122164371833 T^{8} + 70446104031139828 T^{9} - 75507709882171615661 T^{10} -$$$$40\!\cdots\!13$$$$T^{11} +$$$$24\!\cdots\!21$$$$T^{12} )^{2}$$)($$( 1 + 107 T + 1395 T^{2} - 497084 T^{3} - 62702935 T^{4} - 2422278015 T^{5} + 93422604838 T^{6} - 19186864156815 T^{7} - 3934122659177335 T^{8} - 247041448036057724 T^{9} + 5491541383954402995 T^{10} +$$$$33\!\cdots\!07$$$$T^{11} +$$$$24\!\cdots\!21$$$$T^{12} )^{2}$$)($$( 1 - 16068 T^{2} + 128739018 T^{4} - 63583068432 T^{6} - 3380290374381229 T^{8} - 3989344203080036112 T^{10} +$$$$50\!\cdots\!58$$$$T^{12} -$$$$39\!\cdots\!28$$$$T^{14} +$$$$15\!\cdots\!61$$$$T^{16} )^{2}$$)($$( 1 + 256 T + 17284 T^{2} - 187392 T^{3} + 84842826 T^{4} + 25389871104 T^{5} + 1853625901584 T^{6} + 111590371439872 T^{7} + 11164291531924819 T^{8} + 883907332175226112 T^{9} +$$$$11\!\cdots\!44$$$$T^{10} +$$$$12\!\cdots\!44$$$$T^{11} +$$$$33\!\cdots\!06$$$$T^{12} -$$$$58\!\cdots\!92$$$$T^{13} +$$$$42\!\cdots\!64$$$$T^{14} +$$$$50\!\cdots\!96$$$$T^{15} +$$$$15\!\cdots\!61$$$$T^{16} )^{2}$$)($$( 1 - 256 T + 17284 T^{2} + 187392 T^{3} + 84842826 T^{4} - 25389871104 T^{5} + 1853625901584 T^{6} - 111590371439872 T^{7} + 11164291531924819 T^{8} - 883907332175226112 T^{9} +$$$$11\!\cdots\!44$$$$T^{10} -$$$$12\!\cdots\!44$$$$T^{11} +$$$$33\!\cdots\!06$$$$T^{12} +$$$$58\!\cdots\!92$$$$T^{13} +$$$$42\!\cdots\!64$$$$T^{14} -$$$$50\!\cdots\!96$$$$T^{15} +$$$$15\!\cdots\!61$$$$T^{16} )^{2}$$)($$1 + 19152 T^{2} + 164335584 T^{4} + 1474302535776 T^{6} + 14041090343336255 T^{8} + 92501045006568914016 T^{10} +$$$$64\!\cdots\!04$$$$T^{12} +$$$$47\!\cdots\!92$$$$T^{14} +$$$$15\!\cdots\!61$$$$T^{16}$$)($$1 + 25476 T^{2} + 370895178 T^{4} + 3888832832016 T^{6} + 32699103900935507 T^{8} +$$$$24\!\cdots\!56$$$$T^{10} +$$$$14\!\cdots\!18$$$$T^{12} +$$$$62\!\cdots\!96$$$$T^{14} +$$$$15\!\cdots\!61$$$$T^{16}$$)($$1 + 204 T + 33606 T^{2} + 4025736 T^{3} + 429000465 T^{4} + 38687764008 T^{5} + 2948831814102 T^{6} + 245790314656644 T^{7} + 19698007802495972 T^{8} + 1946905082395277124 T^{9} +$$$$18\!\cdots\!82$$$$T^{10} +$$$$19\!\cdots\!88$$$$T^{11} +$$$$16\!\cdots\!65$$$$T^{12} +$$$$12\!\cdots\!36$$$$T^{13} +$$$$83\!\cdots\!26$$$$T^{14} +$$$$39\!\cdots\!64$$$$T^{15} +$$$$15\!\cdots\!61$$$$T^{16}$$)($$1 + 39312 T^{2} + 753803872 T^{4} + 10489128581856 T^{6} + 125349705139695486 T^{8} +$$$$12\!\cdots\!52$$$$T^{10} +$$$$11\!\cdots\!12$$$$T^{12} +$$$$95\!\cdots\!20$$$$T^{14} +$$$$78\!\cdots\!27$$$$T^{16} +$$$$60\!\cdots\!20$$$$T^{18} +$$$$44\!\cdots\!72$$$$T^{20} +$$$$31\!\cdots\!92$$$$T^{22} +$$$$19\!\cdots\!46$$$$T^{24} +$$$$10\!\cdots\!56$$$$T^{26} +$$$$45\!\cdots\!52$$$$T^{28} +$$$$15\!\cdots\!72$$$$T^{30} +$$$$24\!\cdots\!21$$$$T^{32}$$)
$97$ ($$1 - 3936 T^{2} + 110055168 T^{4} - 348451250016 T^{6} + 7837433594376961 T^{8}$$)($$1 - 30496 T^{2} + 614049088 T^{4} - 8477599563552 T^{6} + 92154518429099522 T^{8} -$$$$75\!\cdots\!12$$$$T^{10} +$$$$48\!\cdots\!68$$$$T^{12} -$$$$21\!\cdots\!36$$$$T^{14} +$$$$61\!\cdots\!21$$$$T^{16}$$)($$1 - 67008 T^{2} + 2033229564 T^{4} - 36439450302528 T^{6} + 421681100650800134 T^{8} -$$$$32\!\cdots\!68$$$$T^{10} +$$$$15\!\cdots\!04$$$$T^{12} -$$$$46\!\cdots\!28$$$$T^{14} +$$$$61\!\cdots\!21$$$$T^{16}$$)($$1 - 94 T + 9409 T^{2}$$)($$1 - 9982 T^{2} + 88529281 T^{4}$$)($$( 1 + 9409 T^{2} )^{2}$$)($$( 1 - 22 T + 9409 T^{2} )^{2}$$)($$( 1 + 22 T + 9409 T^{2} )^{2}$$)($$1 + 240 T + 28800 T^{2} + 2258160 T^{3} + 88529281 T^{4}$$)($$1 - 240 T + 28800 T^{2} - 2258160 T^{3} + 88529281 T^{4}$$)($$( 1 - 68 T + 3046 T^{2} - 639812 T^{3} + 88529281 T^{4} )^{2}$$)($$( 1 - 38 T + 25191 T^{2} - 597344 T^{3} + 237022119 T^{4} - 3364112678 T^{5} + 832972004929 T^{6} )^{2}$$)($$( 1 + 38 T + 25191 T^{2} + 597344 T^{3} + 237022119 T^{4} + 3364112678 T^{5} + 832972004929 T^{6} )^{2}$$)($$( 1 + 46 T + 18423 T^{2} + 458352 T^{3} + 173342007 T^{4} + 4072346926 T^{5} + 832972004929 T^{6} )^{2}$$)($$( 1 - 46 T + 18423 T^{2} - 458352 T^{3} + 173342007 T^{4} - 4072346926 T^{5} + 832972004929 T^{6} )^{2}$$)($$( 1 + 32 T + 19484 T^{2} + 1437536 T^{3} + 199130566 T^{4} + 13525776224 T^{5} + 1724904511004 T^{6} + 26655104157728 T^{7} + 7837433594376961 T^{8} )^{2}$$)($$( 1 + 27716 T^{2} + 356960134 T^{4} + 2453677552196 T^{6} + 7837433594376961 T^{8} )^{2}$$)($$( 1 + 40640 T^{2} + 1000555397 T^{4} + 17396288666368 T^{6} + 231308450124040714 T^{8} +$$$$24\!\cdots\!28$$$$T^{10} +$$$$20\!\cdots\!34$$$$T^{12} +$$$$13\!\cdots\!48$$$$T^{14} +$$$$69\!\cdots\!77$$$$T^{16} +$$$$24\!\cdots\!40$$$$T^{18} +$$$$54\!\cdots\!01$$$$T^{20} )^{2}$$)($$( 1 - 97 T )^{4}( 1 + 97 T )^{4}$$)($$( 1 - 97 T )^{4}( 1 + 97 T )^{4}$$)($$( 1 - 97 T )^{4}( 1 + 97 T )^{4}$$)($$( 1 - 13588 T^{2} + 180804198 T^{4} - 1202935870228 T^{6} + 7837433594376961 T^{8} )^{4}$$)($$( 1 - 22 T + 9409 T^{2} )^{2}$$)($$( 1 - 94 T + 9409 T^{2} )^{2}$$)($$( 1 - 22 T + 9409 T^{2} )^{2}$$)($$( 1 + 94 T + 9409 T^{2} )^{2}$$)($$( 1 - 240 T + 28800 T^{2} - 2258160 T^{3} + 88529281 T^{4} )^{2}$$)($$( 1 + 240 T + 28800 T^{2} + 2258160 T^{3} + 88529281 T^{4} )^{2}$$)($$( 1 + 9409 T^{2} )^{4}$$)($$( 1 - 9982 T^{2} + 88529281 T^{4} )^{2}$$)($$( 1 + 68 T + 3046 T^{2} + 639812 T^{3} + 88529281 T^{4} )^{4}$$)($$( 1 - 68 T + 3046 T^{2} - 639812 T^{3} + 88529281 T^{4} )^{4}$$)($$( 1 - 46 T + 18423 T^{2} - 458352 T^{3} + 173342007 T^{4} - 4072346926 T^{5} + 832972004929 T^{6} )^{4}$$)($$( 1 - 38 T + 25191 T^{2} - 597344 T^{3} + 237022119 T^{4} - 3364112678 T^{5} + 832972004929 T^{6} )^{4}$$)($$( 1 + 27716 T^{2} + 356960134 T^{4} + 2453677552196 T^{6} + 7837433594376961 T^{8} )^{4}$$)($$( 1 + 32 T + 19484 T^{2} + 1437536 T^{3} + 199130566 T^{4} + 13525776224 T^{5} + 1724904511004 T^{6} + 26655104157728 T^{7} + 7837433594376961 T^{8} )^{4}$$)($$( 1 - 32 T + 19484 T^{2} - 1437536 T^{3} + 199130566 T^{4} - 13525776224 T^{5} + 1724904511004 T^{6} - 26655104157728 T^{7} + 7837433594376961 T^{8} )^{4}$$)($$( 1 - 3936 T^{2} + 110055168 T^{4} - 348451250016 T^{6} + 7837433594376961 T^{8} )^{2}$$)($$( 1 - 4356 T^{2} + 109417734 T^{4} - 385633548036 T^{6} + 7837433594376961 T^{8} )^{2}$$)($$1 - 67008 T^{2} + 2033229564 T^{4} - 36439450302528 T^{6} + 421681100650800134 T^{8} -$$$$32\!\cdots\!68$$$$T^{10} +$$$$15\!\cdots\!04$$$$T^{12} -$$$$46\!\cdots\!28$$$$T^{14} +$$$$61\!\cdots\!21$$$$T^{16}$$)($$( 1 - 30496 T^{2} + 614049088 T^{4} - 8477599563552 T^{6} + 92154518429099522 T^{8} -$$$$75\!\cdots\!12$$$$T^{10} +$$$$48\!\cdots\!68$$$$T^{12} -$$$$21\!\cdots\!36$$$$T^{14} +$$$$61\!\cdots\!21$$$$T^{16} )^{2}$$)