# Properties

 Label 315.4 Level 315 Weight 4 Dimension 7076 Nonzero newspaces 30 Sturm bound 27648 Trace bound 9

## Defining parameters

 Level: $$N$$ = $$315\( 315 = 3^{2} \cdot 5 \cdot 7$$ \) Weight: $$k$$ = $$4$$ Nonzero newspaces: $$30$$ Sturm bound: $$27648$$ Trace bound: $$9$$

## Dimensions

The following table gives the dimensions of various subspaces of $$M_{4}(\Gamma_1(315))$$.

Total New Old
Modular forms 10752 7348 3404
Cusp forms 9984 7076 2908
Eisenstein series 768 272 496

## Trace form

 $$7076q - 14q^{2} - 20q^{3} - 78q^{4} - 51q^{5} - 4q^{6} - 42q^{7} + 162q^{8} + 44q^{9} + O(q^{10})$$ $$7076q - 14q^{2} - 20q^{3} - 78q^{4} - 51q^{5} - 4q^{6} - 42q^{7} + 162q^{8} + 44q^{9} - 230q^{10} - 302q^{11} - 472q^{12} - 80q^{13} - 774q^{14} + 214q^{15} + 1022q^{16} + 1534q^{17} + 1528q^{18} + 514q^{19} - 370q^{20} + 138q^{21} - 972q^{22} - 1158q^{23} - 396q^{24} - 133q^{25} - 2348q^{26} - 1424q^{27} - 1726q^{28} + 620q^{29} + 1286q^{30} - 274q^{31} + 470q^{32} + 1520q^{33} - 1164q^{34} + 1729q^{35} + 2164q^{36} + 1130q^{37} + 5980q^{38} + 2476q^{39} - 118q^{40} + 956q^{41} + 1020q^{42} + 1060q^{43} - 1648q^{44} - 4498q^{45} - 596q^{46} - 7790q^{47} - 4516q^{48} - 3742q^{49} - 4754q^{50} + 1700q^{51} - 8224q^{52} - 1874q^{53} + 6728q^{54} - 1826q^{55} - 8334q^{56} + 2476q^{57} + 7436q^{58} - 1022q^{59} - 2518q^{60} + 5802q^{61} - 936q^{62} - 8130q^{63} + 4846q^{64} + 2686q^{65} - 14420q^{66} - 1998q^{67} - 12964q^{68} - 8004q^{69} + 1566q^{70} + 3536q^{71} + 11856q^{72} - 9686q^{73} + 11756q^{74} + 14746q^{75} + 8164q^{76} + 21480q^{77} + 34112q^{78} + 14118q^{79} + 22274q^{80} + 11012q^{81} + 34600q^{82} + 9324q^{83} + 10932q^{84} + 7330q^{85} + 2320q^{86} - 4748q^{87} + 2172q^{88} - 9330q^{89} - 23402q^{90} - 912q^{91} - 24456q^{92} - 18228q^{93} - 6708q^{94} - 11327q^{95} - 26864q^{96} - 18688q^{97} - 48346q^{98} - 21956q^{99} + O(q^{100})$$

## Decomposition of $$S_{4}^{\mathrm{new}}(\Gamma_1(315))$$

We only show spaces with even parity, since no modular forms exist when this condition is not satisfied. Within each space $$S_k^{\mathrm{new}}(N, \chi)$$ we list the newforms together with their dimension.

Label $$\chi$$ Newforms Dimension $$\chi$$ degree
315.4.a $$\chi_{315}(1, \cdot)$$ 315.4.a.a 1 1
315.4.a.b 1
315.4.a.c 1
315.4.a.d 1
315.4.a.e 1
315.4.a.f 2
315.4.a.g 2
315.4.a.h 2
315.4.a.i 2
315.4.a.j 2
315.4.a.k 2
315.4.a.l 2
315.4.a.m 2
315.4.a.n 3
315.4.a.o 3
315.4.a.p 3
315.4.b $$\chi_{315}(251, \cdot)$$ 315.4.b.a 16 1
315.4.b.b 16
315.4.d $$\chi_{315}(64, \cdot)$$ 315.4.d.a 6 1
315.4.d.b 10
315.4.d.c 10
315.4.d.d 20
315.4.g $$\chi_{315}(314, \cdot)$$ 315.4.g.a 48 1
315.4.i $$\chi_{315}(106, \cdot)$$ n/a 144 2
315.4.j $$\chi_{315}(46, \cdot)$$ 315.4.j.a 2 2
315.4.j.b 2
315.4.j.c 4
315.4.j.d 4
315.4.j.e 6
315.4.j.f 10
315.4.j.g 10
315.4.j.h 10
315.4.j.i 16
315.4.j.j 16
315.4.k $$\chi_{315}(16, \cdot)$$ n/a 192 2
315.4.l $$\chi_{315}(121, \cdot)$$ n/a 192 2
315.4.m $$\chi_{315}(8, \cdot)$$ 315.4.m.a 36 2
315.4.m.b 36
315.4.p $$\chi_{315}(118, \cdot)$$ n/a 116 2
315.4.r $$\chi_{315}(184, \cdot)$$ n/a 280 2
315.4.t $$\chi_{315}(101, \cdot)$$ n/a 192 2
315.4.u $$\chi_{315}(59, \cdot)$$ n/a 280 2
315.4.z $$\chi_{315}(104, \cdot)$$ n/a 280 2
315.4.bb $$\chi_{315}(89, \cdot)$$ 315.4.bb.a 96 2
315.4.be $$\chi_{315}(236, \cdot)$$ n/a 192 2
315.4.bf $$\chi_{315}(109, \cdot)$$ n/a 116 2
315.4.bh $$\chi_{315}(169, \cdot)$$ n/a 216 2
315.4.bj $$\chi_{315}(26, \cdot)$$ 315.4.bj.a 32 2
315.4.bj.b 32
315.4.bl $$\chi_{315}(41, \cdot)$$ n/a 192 2
315.4.bo $$\chi_{315}(4, \cdot)$$ n/a 280 2
315.4.bq $$\chi_{315}(164, \cdot)$$ n/a 280 2
315.4.bs $$\chi_{315}(52, \cdot)$$ n/a 560 4
315.4.bv $$\chi_{315}(23, \cdot)$$ n/a 560 4
315.4.bx $$\chi_{315}(2, \cdot)$$ n/a 560 4
315.4.bz $$\chi_{315}(73, \cdot)$$ n/a 232 4
315.4.cb $$\chi_{315}(13, \cdot)$$ n/a 560 4
315.4.cc $$\chi_{315}(92, \cdot)$$ n/a 432 4
315.4.ce $$\chi_{315}(53, \cdot)$$ n/a 192 4
315.4.cg $$\chi_{315}(157, \cdot)$$ n/a 560 4

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

## Decomposition of $$S_{4}^{\mathrm{old}}(\Gamma_1(315))$$ into lower level spaces

$$S_{4}^{\mathrm{old}}(\Gamma_1(315)) \cong$$ $$S_{4}^{\mathrm{new}}(\Gamma_1(5))$$$$^{\oplus 6}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(7))$$$$^{\oplus 6}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(9))$$$$^{\oplus 4}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(15))$$$$^{\oplus 4}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(21))$$$$^{\oplus 4}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(35))$$$$^{\oplus 3}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(45))$$$$^{\oplus 2}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(63))$$$$^{\oplus 2}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(105))$$$$^{\oplus 2}$$

## Hecke characteristic polynomials

$p$ $F_p(T)$
$2$ ($$1 + 5 T + 8 T^{2}$$)($$1 + 3 T + 8 T^{2}$$)($$1 + T + 8 T^{2}$$)($$1 + 8 T^{2}$$)($$1 - 3 T + 8 T^{2}$$)($$1 + 8 T + 30 T^{2} + 64 T^{3} + 64 T^{4}$$)($$1 + 3 T + 8 T^{2} + 24 T^{3} + 64 T^{4}$$)($$1 + T + 12 T^{2} + 8 T^{3} + 64 T^{4}$$)($$1 + T + 8 T^{3} + 64 T^{4}$$)($$1 - T + 12 T^{2} - 8 T^{3} + 64 T^{4}$$)($$1 - 2 T + 9 T^{2} - 16 T^{3} + 64 T^{4}$$)($$1 - 4 T + 15 T^{2} - 32 T^{3} + 64 T^{4}$$)($$1 - 7 T + 24 T^{2} - 56 T^{3} + 64 T^{4}$$)($$1 + 2 T + 7 T^{2} + 28 T^{3} + 56 T^{4} + 128 T^{5} + 512 T^{6}$$)($$1 - 2 T + 7 T^{2} - 28 T^{3} + 56 T^{4} - 128 T^{5} + 512 T^{6}$$)($$1 - 3 T + 10 T^{2} - 18 T^{3} + 80 T^{4} - 192 T^{5} + 512 T^{6}$$)($$1 - 32 T^{2} + 591 T^{4} - 8832 T^{6} + 113031 T^{8} - 1275552 T^{10} + 12838553 T^{12} - 117473680 T^{14} + 986083008 T^{16} - 7518315520 T^{18} + 52586713088 T^{20} - 334378303488 T^{22} + 1896345501696 T^{24} - 9483287789568 T^{26} + 40613210750976 T^{28} - 140737488355328 T^{30} + 281474976710656 T^{32}$$)($$1 - 32 T^{2} + 591 T^{4} - 8832 T^{6} + 113031 T^{8} - 1275552 T^{10} + 12838553 T^{12} - 117473680 T^{14} + 986083008 T^{16} - 7518315520 T^{18} + 52586713088 T^{20} - 334378303488 T^{22} + 1896345501696 T^{24} - 9483287789568 T^{26} + 40613210750976 T^{28} - 140737488355328 T^{30} + 281474976710656 T^{32}$$)($$1 - 21 T^{2} + 267 T^{4} - 2607 T^{6} + 17088 T^{8} - 86016 T^{10} + 262144 T^{12}$$)($$1 - 13 T^{2} + 115 T^{4} - 1151 T^{6} + 11968 T^{8} - 114560 T^{10} + 765952 T^{12} - 4714496 T^{14} + 30146560 T^{16} - 218103808 T^{18} + 1073741824 T^{20}$$)($$1 - 22 T^{2} + 277 T^{4} - 2288 T^{6} + 16804 T^{8} - 119360 T^{10} + 1075456 T^{12} - 9371648 T^{14} + 72613888 T^{16} - 369098752 T^{18} + 1073741824 T^{20}$$)($$( 1 - 13 T^{2} + 115 T^{4} - 911 T^{6} + 3952 T^{8} - 23168 T^{10} + 252928 T^{12} - 3731456 T^{14} + 30146560 T^{16} - 218103808 T^{18} + 1073741824 T^{20} )^{2}$$)($$1 - 3 T + T^{2} - 24 T^{3} + 64 T^{4}$$)($$1 - 3 T + T^{2} - 24 T^{3} + 64 T^{4}$$)($$1 + 6 T + 13 T^{2} + 42 T^{3} + 177 T^{4} + 336 T^{5} + 832 T^{6} + 3072 T^{7} + 4096 T^{8}$$)($$1 + 4 T - 2 T^{2} + 8 T^{3} + 132 T^{4} + 64 T^{5} - 128 T^{6} + 2048 T^{7} + 4096 T^{8}$$)($$1 - 3 T - 7 T^{2} + 20 T^{3} + 26 T^{4} + 32 T^{5} - 444 T^{6} + 256 T^{7} + 1664 T^{8} + 10240 T^{9} - 28672 T^{10} - 98304 T^{11} + 262144 T^{12}$$)($$1 + T - 9 T^{2} - 50 T^{3} - 14 T^{4} + 400 T^{5} + 1136 T^{6} - 248 T^{7} - 8984 T^{8} - 1680 T^{9} + 23312 T^{10} - 13440 T^{11} - 574976 T^{12} - 126976 T^{13} + 4653056 T^{14} + 13107200 T^{15} - 3670016 T^{16} - 104857600 T^{17} - 150994944 T^{18} + 134217728 T^{19} + 1073741824 T^{20}$$)($$1 - T - 2 T^{2} + 19 T^{3} - 42 T^{4} + 63 T^{5} + 657 T^{6} - 1560 T^{7} + 688 T^{8} + 12224 T^{9} - 47936 T^{10} + 97792 T^{11} + 44032 T^{12} - 798720 T^{13} + 2691072 T^{14} + 2064384 T^{15} - 11010048 T^{16} + 39845888 T^{17} - 33554432 T^{18} - 134217728 T^{19} + 1073741824 T^{20}$$)($$1 - 3 T - 3 T^{2} + 16 T^{3} - 6 T^{4} + 28 T^{5} + 688 T^{6} - 3056 T^{7} - 280 T^{8} + 9504 T^{9} + 1552 T^{10} + 76032 T^{11} - 17920 T^{12} - 1564672 T^{13} + 2818048 T^{14} + 917504 T^{15} - 1572864 T^{16} + 33554432 T^{17} - 50331648 T^{18} - 402653184 T^{19} + 1073741824 T^{20}$$)($$1 + 4 T - 3 T^{2} - 44 T^{3} - 77 T^{4} + 162 T^{5} + 958 T^{6} + 2004 T^{7} + 416 T^{8} - 5372 T^{9} + 1420 T^{10} + 33544 T^{11} + 92960 T^{12} - 358624 T^{13} - 1600160 T^{14} + 6150272 T^{15} + 39627840 T^{16} + 49202176 T^{17} - 102410240 T^{18} - 183615488 T^{19} + 380764160 T^{20} + 1099169792 T^{21} + 372244480 T^{22} - 11265900544 T^{23} + 6979321856 T^{24} + 268972326912 T^{25} + 1028644667392 T^{26} + 1391569403904 T^{27} - 5291399708672 T^{28} - 24189255811072 T^{29} - 13194139533312 T^{30} + 140737488355328 T^{31} + 281474976710656 T^{32}$$)($$1 - 4 T - 3 T^{2} + 44 T^{3} - 77 T^{4} - 162 T^{5} + 958 T^{6} - 2004 T^{7} + 416 T^{8} + 5372 T^{9} + 1420 T^{10} - 33544 T^{11} + 92960 T^{12} + 358624 T^{13} - 1600160 T^{14} - 6150272 T^{15} + 39627840 T^{16} - 49202176 T^{17} - 102410240 T^{18} + 183615488 T^{19} + 380764160 T^{20} - 1099169792 T^{21} + 372244480 T^{22} + 11265900544 T^{23} + 6979321856 T^{24} - 268972326912 T^{25} + 1028644667392 T^{26} - 1391569403904 T^{27} - 5291399708672 T^{28} + 24189255811072 T^{29} - 13194139533312 T^{30} - 140737488355328 T^{31} + 281474976710656 T^{32}$$)
$3$ 1
$5$ ($$1 + 5 T$$)($$1 + 5 T$$)($$1 - 5 T$$)($$1 + 5 T$$)($$1 - 5 T$$)($$( 1 - 5 T )^{2}$$)($$( 1 - 5 T )^{2}$$)($$( 1 + 5 T )^{2}$$)($$( 1 + 5 T )^{2}$$)($$( 1 - 5 T )^{2}$$)($$( 1 + 5 T )^{2}$$)($$( 1 - 5 T )^{2}$$)($$( 1 - 5 T )^{2}$$)($$( 1 + 5 T )^{3}$$)($$( 1 - 5 T )^{3}$$)($$( 1 + 5 T )^{3}$$)($$( 1 + 5 T )^{16}$$)($$( 1 - 5 T )^{16}$$)($$1 - 14 T - 85 T^{2} + 2700 T^{3} - 10625 T^{4} - 218750 T^{5} + 1953125 T^{6}$$)($$1 - 14 T + 285 T^{2} - 1152 T^{3} + 2830 T^{4} + 184700 T^{5} + 353750 T^{6} - 18000000 T^{7} + 556640625 T^{8} - 3417968750 T^{9} + 30517578125 T^{10}$$)($$1 + 6 T + 199 T^{2} - 1836 T^{3} + 20 T^{4} - 520100 T^{5} + 2500 T^{6} - 28687500 T^{7} + 388671875 T^{8} + 1464843750 T^{9} + 30517578125 T^{10}$$)($$1 - 214 T^{2} + 51125 T^{4} - 9171912 T^{6} + 1502516050 T^{8} - 177240122500 T^{10} + 23476813281250 T^{12} - 2239236328125000 T^{14} + 195026397705078125 T^{16} - 12755393981933593750 T^{18} +$$$$93\!\cdots\!25$$$$T^{20}$$)($$1 + 5 T + 25 T^{2}$$)($$1 - 5 T + 25 T^{2}$$)($$( 1 - 5 T + 25 T^{2} )^{2}$$)($$( 1 + 5 T + 25 T^{2} )^{2}$$)($$( 1 - 5 T + 25 T^{2} )^{3}$$)($$( 1 + 5 T + 25 T^{2} )^{5}$$)($$( 1 + 5 T + 25 T^{2} )^{5}$$)($$( 1 - 5 T + 25 T^{2} )^{5}$$)($$( 1 - 5 T + 25 T^{2} )^{8}$$)($$( 1 + 5 T + 25 T^{2} )^{8}$$)
$7$ ($$1 - 7 T$$)($$1 - 7 T$$)($$1 - 7 T$$)($$1 - 7 T$$)($$1 - 7 T$$)($$( 1 + 7 T )^{2}$$)($$( 1 - 7 T )^{2}$$)($$( 1 + 7 T )^{2}$$)($$( 1 + 7 T )^{2}$$)($$( 1 + 7 T )^{2}$$)($$( 1 + 7 T )^{2}$$)($$( 1 + 7 T )^{2}$$)($$( 1 + 7 T )^{2}$$)($$( 1 - 7 T )^{3}$$)($$( 1 - 7 T )^{3}$$)($$( 1 - 7 T )^{3}$$)($$1 - 32 T + 402 T^{2} - 2760 T^{3} + 97536 T^{4} - 997752 T^{5} - 42067186 T^{6} + 1464335600 T^{7} - 26559290562 T^{8} + 502267110800 T^{9} - 4949162365714 T^{10} - 40262892091464 T^{11} + 1350023788436736 T^{12} - 13103269767442680 T^{13} + 654622266360000498 T^{14} - 17873467650665088224 T^{15} +$$$$19\!\cdots\!01$$$$T^{16}$$)($$1 - 32 T + 402 T^{2} - 2760 T^{3} + 97536 T^{4} - 997752 T^{5} - 42067186 T^{6} + 1464335600 T^{7} - 26559290562 T^{8} + 502267110800 T^{9} - 4949162365714 T^{10} - 40262892091464 T^{11} + 1350023788436736 T^{12} - 13103269767442680 T^{13} + 654622266360000498 T^{14} - 17873467650665088224 T^{15} +$$$$19\!\cdots\!01$$$$T^{16}$$)($$( 1 + 49 T^{2} )^{3}$$)($$( 1 + 49 T^{2} )^{5}$$)($$( 1 + 49 T^{2} )^{5}$$)($$( 1 + 49 T^{2} )^{10}$$)($$1 + 28 T + 343 T^{2}$$)($$1 + 28 T + 343 T^{2}$$)($$1 - 22 T + 357 T^{2} - 7546 T^{3} + 117649 T^{4}$$)($$1 - 50 T + 1239 T^{2} - 17150 T^{3} + 117649 T^{4}$$)($$1 + 2 T + 98 T^{2} - 10192 T^{3} + 33614 T^{4} + 235298 T^{5} + 40353607 T^{6}$$)($$1 - 56 T + 1761 T^{2} - 46900 T^{3} + 1033445 T^{4} - 19485732 T^{5} + 354471635 T^{6} - 5517738100 T^{7} + 71062701927 T^{8} - 775112083256 T^{9} + 4747561509943 T^{10}$$)($$1 + 62 T + 1423 T^{2} + 21774 T^{3} + 645505 T^{4} + 16781324 T^{5} + 221408215 T^{6} + 2561689326 T^{7} + 57423182761 T^{8} + 858159806462 T^{9} + 4747561509943 T^{10}$$)($$1 + 32 T + 157 T^{2} - 708 T^{3} - 124187 T^{4} - 5295724 T^{5} - 42596141 T^{6} - 83295492 T^{7} + 6335516299 T^{8} + 442921190432 T^{9} + 4747561509943 T^{10}$$)($$1 - 22 T + 619 T^{2} - 15422 T^{3} + 189645 T^{4} - 5358192 T^{5} + 115899602 T^{6} - 2262639288 T^{7} + 56913721774 T^{8} - 776085275784 T^{9} + 13635472275698 T^{10} - 216222374198544 T^{11} + 2624930911233645 T^{12} - 73216893606340946 T^{13} + 1007988017106567931 T^{14} - 12288009009832248154 T^{15} +$$$$19\!\cdots\!01$$$$T^{16}$$)($$1 - 22 T + 619 T^{2} - 15422 T^{3} + 189645 T^{4} - 5358192 T^{5} + 115899602 T^{6} - 2262639288 T^{7} + 56913721774 T^{8} - 776085275784 T^{9} + 13635472275698 T^{10} - 216222374198544 T^{11} + 2624930911233645 T^{12} - 73216893606340946 T^{13} + 1007988017106567931 T^{14} - 12288009009832248154 T^{15} +$$$$19\!\cdots\!01$$$$T^{16}$$)
$11$ ($$1 + 12 T + 1331 T^{2}$$)($$1 + 60 T + 1331 T^{2}$$)($$1 + 12 T + 1331 T^{2}$$)($$1 + 42 T + 1331 T^{2}$$)($$1 - 60 T + 1331 T^{2}$$)($$1 - 14 T + 663 T^{2} - 18634 T^{3} + 1771561 T^{4}$$)($$1 + 62 T + 3582 T^{2} + 82522 T^{3} + 1771561 T^{4}$$)($$1 - 4 T + 2598 T^{2} - 5324 T^{3} + 1771561 T^{4}$$)($$1 - 22 T + 2718 T^{2} - 29282 T^{3} + 1771561 T^{4}$$)($$1 + 4 T + 2598 T^{2} + 5324 T^{3} + 1771561 T^{4}$$)($$1 - 16 T - 474 T^{2} - 21296 T^{3} + 1771561 T^{4}$$)($$1 - 92 T + 4758 T^{2} - 122452 T^{3} + 1771561 T^{4}$$)($$1 - 26 T + 2406 T^{2} - 34606 T^{3} + 1771561 T^{4}$$)($$1 - 20 T + 1781 T^{2} - 21080 T^{3} + 2370511 T^{4} - 35431220 T^{5} + 2357947691 T^{6}$$)($$1 + 20 T + 1781 T^{2} + 21080 T^{3} + 2370511 T^{4} + 35431220 T^{5} + 2357947691 T^{6}$$)($$1 - 74 T + 5570 T^{2} - 204680 T^{3} + 7413670 T^{4} - 131095514 T^{5} + 2357947691 T^{6}$$)($$1 - 9596 T^{2} + 46863132 T^{4} - 153109431204 T^{6} + 376744413134676 T^{8} - 749441941144306956 T^{10} +$$$$12\!\cdots\!92$$$$T^{12} -$$$$19\!\cdots\!60$$$$T^{14} +$$$$26\!\cdots\!34$$$$T^{16} -$$$$33\!\cdots\!60$$$$T^{18} +$$$$39\!\cdots\!32$$$$T^{20} -$$$$41\!\cdots\!36$$$$T^{22} +$$$$37\!\cdots\!16$$$$T^{24} -$$$$26\!\cdots\!04$$$$T^{26} +$$$$14\!\cdots\!52$$$$T^{28} -$$$$52\!\cdots\!16$$$$T^{30} +$$$$97\!\cdots\!81$$$$T^{32}$$)($$1 - 9596 T^{2} + 46863132 T^{4} - 153109431204 T^{6} + 376744413134676 T^{8} - 749441941144306956 T^{10} +$$$$12\!\cdots\!92$$$$T^{12} -$$$$19\!\cdots\!60$$$$T^{14} +$$$$26\!\cdots\!34$$$$T^{16} -$$$$33\!\cdots\!60$$$$T^{18} +$$$$39\!\cdots\!32$$$$T^{20} -$$$$41\!\cdots\!36$$$$T^{22} +$$$$37\!\cdots\!16$$$$T^{24} -$$$$26\!\cdots\!04$$$$T^{26} +$$$$14\!\cdots\!52$$$$T^{28} -$$$$52\!\cdots\!16$$$$T^{30} +$$$$97\!\cdots\!81$$$$T^{32}$$)($$( 1 - 66 T + 3717 T^{2} - 169572 T^{3} + 4947327 T^{4} - 116923026 T^{5} + 2357947691 T^{6} )^{2}$$)($$( 1 + 66 T + 4555 T^{2} + 210928 T^{3} + 10802758 T^{4} + 383496700 T^{5} + 14378470898 T^{6} + 373671818608 T^{7} + 10740451732505 T^{8} + 207136272863586 T^{9} + 4177248169415651 T^{10} )^{2}$$)($$( 1 + 42 T + 4384 T^{2} + 71864 T^{3} + 6091387 T^{4} + 31351772 T^{5} + 8107636097 T^{6} + 127311459704 T^{7} + 10337242677344 T^{8} + 131813991822282 T^{9} + 4177248169415651 T^{10} )^{2}$$)($$( 1 + 4322 T^{2} + 12929157 T^{4} + 27553142072 T^{6} + 47918113170466 T^{8} + 69356658504219660 T^{10} + 84889860486383917426 T^{12} +$$$$86\!\cdots\!12$$$$T^{14} +$$$$71\!\cdots\!17$$$$T^{16} +$$$$42\!\cdots\!02$$$$T^{18} +$$$$17\!\cdots\!01$$$$T^{20} )^{2}$$)($$1 + 45 T + 694 T^{2} + 59895 T^{3} + 1771561 T^{4}$$)($$1 + 45 T + 694 T^{2} + 59895 T^{3} + 1771561 T^{4}$$)($$1 - 28 T - 1874 T^{2} + 112 T^{3} + 4249899 T^{4} + 149072 T^{5} - 3319905314 T^{6} - 66022535348 T^{7} + 3138428376721 T^{8}$$)($$1 + 32 T + 994 T^{2} - 84224 T^{3} - 3133605 T^{4} - 112102144 T^{5} + 1760931634 T^{6} + 75454326112 T^{7} + 3138428376721 T^{8}$$)($$1 + T - 3484 T^{2} - 9399 T^{3} + 7500248 T^{4} + 14944861 T^{5} - 11409671290 T^{6} + 19891609991 T^{7} + 13287146847128 T^{8} - 22162350347709 T^{9} - 10934284464495964 T^{10} + 4177248169415651 T^{11} + 5559917313492231481 T^{12}$$)($$1 + 33 T - 670 T^{2} - 29721 T^{3} - 422065 T^{4} - 60807414 T^{5} + 3843117816 T^{6} + 264648812490 T^{7} + 484736115169 T^{8} - 178222331833149 T^{9} - 2105070196908054 T^{10} - 237213923669921319 T^{11} + 858739596924908809 T^{12} +$$$$62\!\cdots\!90$$$$T^{13} +$$$$12\!\cdots\!36$$$$T^{14} -$$$$25\!\cdots\!14$$$$T^{15} -$$$$23\!\cdots\!65$$$$T^{16} -$$$$21\!\cdots\!31$$$$T^{17} -$$$$65\!\cdots\!70$$$$T^{18} +$$$$43\!\cdots\!43$$$$T^{19} +$$$$17\!\cdots\!01$$$$T^{20}$$)($$1 - 47 T - 2290 T^{2} + 69067 T^{3} + 5592863 T^{4} - 81640994 T^{5} - 4895628428 T^{6} - 11964087958 T^{7} + 250747435653 T^{8} + 11800753851543 T^{9} + 6322646842057914 T^{10} + 15706803376403733 T^{11} + 444214377852864333 T^{12} - 28210693575487004978 T^{13} -$$$$15\!\cdots\!88$$$$T^{14} -$$$$34\!\cdots\!94$$$$T^{15} +$$$$31\!\cdots\!03$$$$T^{16} +$$$$51\!\cdots\!37$$$$T^{17} -$$$$22\!\cdots\!90$$$$T^{18} -$$$$61\!\cdots\!37$$$$T^{19} +$$$$17\!\cdots\!01$$$$T^{20}$$)($$1 - 43 T - 1018 T^{2} + 184703 T^{3} - 5534545 T^{4} - 50464234 T^{5} + 12689409820 T^{6} - 504310395110 T^{7} + 6113678102337 T^{8} + 534835812328359 T^{9} - 31491030462599406 T^{10} + 711866466209045829 T^{11} + 10830753692654238057 T^{12} -$$$$11\!\cdots\!10$$$$T^{13} +$$$$39\!\cdots\!20$$$$T^{14} -$$$$21\!\cdots\!34$$$$T^{15} -$$$$30\!\cdots\!45$$$$T^{16} +$$$$13\!\cdots\!33$$$$T^{17} -$$$$10\!\cdots\!38$$$$T^{18} -$$$$56\!\cdots\!53$$$$T^{19} +$$$$17\!\cdots\!01$$$$T^{20}$$)($$1 + 100 T - 817 T^{2} - 419612 T^{3} - 8195109 T^{4} + 734848900 T^{5} + 20628467896 T^{6} - 818620984372 T^{7} - 9291869725177 T^{8} + 1413753273750008 T^{9} - 22922589752013597 T^{10} - 2723618156165305544 T^{11} + 47127053470621826426 T^{12} +$$$$31\!\cdots\!12$$$$T^{13} -$$$$74\!\cdots\!81$$$$T^{14} -$$$$14\!\cdots\!64$$$$T^{15} +$$$$11\!\cdots\!56$$$$T^{16} -$$$$19\!\cdots\!84$$$$T^{17} -$$$$13\!\cdots\!41$$$$T^{18} +$$$$73\!\cdots\!92$$$$T^{19} +$$$$14\!\cdots\!46$$$$T^{20} -$$$$11\!\cdots\!44$$$$T^{21} -$$$$12\!\cdots\!57$$$$T^{22} +$$$$10\!\cdots\!88$$$$T^{23} -$$$$91\!\cdots\!57$$$$T^{24} -$$$$10\!\cdots\!12$$$$T^{25} +$$$$35\!\cdots\!96$$$$T^{26} +$$$$17\!\cdots\!00$$$$T^{27} -$$$$25\!\cdots\!49$$$$T^{28} -$$$$17\!\cdots\!92$$$$T^{29} -$$$$44\!\cdots\!57$$$$T^{30} +$$$$72\!\cdots\!00$$$$T^{31} +$$$$97\!\cdots\!81$$$$T^{32}$$)($$1 - 100 T - 817 T^{2} + 419612 T^{3} - 8195109 T^{4} - 734848900 T^{5} + 20628467896 T^{6} + 818620984372 T^{7} - 9291869725177 T^{8} - 1413753273750008 T^{9} - 22922589752013597 T^{10} + 2723618156165305544 T^{11} + 47127053470621826426 T^{12} -$$$$31\!\cdots\!12$$$$T^{13} -$$$$74\!\cdots\!81$$$$T^{14} +$$$$14\!\cdots\!64$$$$T^{15} +$$$$11\!\cdots\!56$$$$T^{16} +$$$$19\!\cdots\!84$$$$T^{17} -$$$$13\!\cdots\!41$$$$T^{18} -$$$$73\!\cdots\!92$$$$T^{19} +$$$$14\!\cdots\!46$$$$T^{20} +$$$$11\!\cdots\!44$$$$T^{21} -$$$$12\!\cdots\!57$$$$T^{22} -$$$$10\!\cdots\!88$$$$T^{23} -$$$$91\!\cdots\!57$$$$T^{24} +$$$$10\!\cdots\!12$$$$T^{25} +$$$$35\!\cdots\!96$$$$T^{26} -$$$$17\!\cdots\!00$$$$T^{27} -$$$$25\!\cdots\!49$$$$T^{28} +$$$$17\!\cdots\!92$$$$T^{29} -$$$$44\!\cdots\!57$$$$T^{30} -$$$$72\!\cdots\!00$$$$T^{31} +$$$$97\!\cdots\!81$$$$T^{32}$$)
$13$ ($$1 - 30 T + 2197 T^{2}$$)($$1 - 38 T + 2197 T^{2}$$)($$1 + 78 T + 2197 T^{2}$$)($$1 - 20 T + 2197 T^{2}$$)($$1 - 38 T + 2197 T^{2}$$)($$1 - 50 T + 4987 T^{2} - 109850 T^{3} + 4826809 T^{4}$$)($$1 + 6 T + 3378 T^{2} + 13182 T^{3} + 4826809 T^{4}$$)($$1 + 22 T + 2458 T^{2} + 48334 T^{3} + 4826809 T^{4}$$)($$1 + 22 T + 4450 T^{2} + 48334 T^{3} + 4826809 T^{4}$$)($$1 + 22 T + 2458 T^{2} + 48334 T^{3} + 4826809 T^{4}$$)($$1 + 76 T + 5806 T^{2} + 166972 T^{3} + 4826809 T^{4}$$)($$1 - 8 T - 2810 T^{2} - 17576 T^{3} + 4826809 T^{4}$$)($$1 - 14 T + 2386 T^{2} - 30758 T^{3} + 4826809 T^{4}$$)($$1 + 4843 T^{2} - 17328 T^{3} + 10640071 T^{4} + 10604499373 T^{6}$$)($$1 + 4843 T^{2} - 17328 T^{3} + 10640071 T^{4} + 10604499373 T^{6}$$)($$1 - 44 T + 3100 T^{2} - 238206 T^{3} + 6810700 T^{4} - 212379596 T^{5} + 10604499373 T^{6}$$)($$1 - 12364 T^{2} + 82822596 T^{4} - 392208854996 T^{6} + 1480167510743540 T^{8} - 4784497724811531804 T^{10} +$$$$13\!\cdots\!12$$$$T^{12} -$$$$35\!\cdots\!32$$$$T^{14} +$$$$82\!\cdots\!14$$$$T^{16} -$$$$17\!\cdots\!88$$$$T^{18} +$$$$32\!\cdots\!72$$$$T^{20} -$$$$53\!\cdots\!16$$$$T^{22} +$$$$80\!\cdots\!40$$$$T^{24} -$$$$10\!\cdots\!04$$$$T^{26} +$$$$10\!\cdots\!36$$$$T^{28} -$$$$75\!\cdots\!16$$$$T^{30} +$$$$29\!\cdots\!21$$$$T^{32}$$)($$1 - 12364 T^{2} + 82822596 T^{4} - 392208854996 T^{6} + 1480167510743540 T^{8} - 4784497724811531804 T^{10} +$$$$13\!\cdots\!12$$$$T^{12} -$$$$35\!\cdots\!32$$$$T^{14} +$$$$82\!\cdots\!14$$$$T^{16} -$$$$17\!\cdots\!88$$$$T^{18} +$$$$32\!\cdots\!72$$$$T^{20} -$$$$53\!\cdots\!16$$$$T^{22} +$$$$80\!\cdots\!40$$$$T^{24} -$$$$10\!\cdots\!04$$$$T^{26} +$$$$10\!\cdots\!36$$$$T^{28} -$$$$75\!\cdots\!16$$$$T^{30} +$$$$29\!\cdots\!21$$$$T^{32}$$)($$1 - 8946 T^{2} + 38833239 T^{4} - 104657523868 T^{6} + 187440627504351 T^{8} - 208424669505715026 T^{10} +$$$$11\!\cdots\!29$$$$T^{12}$$)($$1 - 13662 T^{2} + 97034245 T^{4} - 454371436584 T^{6} + 1533415610487218 T^{8} - 3873561618402720820 T^{10} +$$$$74\!\cdots\!62$$$$T^{12} -$$$$10\!\cdots\!04$$$$T^{14} +$$$$10\!\cdots\!05$$$$T^{16} -$$$$74\!\cdots\!82$$$$T^{18} +$$$$26\!\cdots\!49$$$$T^{20}$$)($$1 - 5148 T^{2} + 15695890 T^{4} - 26456649834 T^{6} + 12726832447985 T^{8} + 6726945022008644 T^{10} + 61429989401426029865 T^{12} -$$$$61\!\cdots\!54$$$$T^{14} +$$$$17\!\cdots\!10$$$$T^{16} -$$$$27\!\cdots\!28$$$$T^{18} +$$$$26\!\cdots\!49$$$$T^{20}$$)($$( 1 - 6498 T^{2} + 33166789 T^{4} - 115148647704 T^{6} + 344541053995250 T^{8} - 804294471057202636 T^{10} +$$$$16\!\cdots\!50$$$$T^{12} -$$$$26\!\cdots\!24$$$$T^{14} +$$$$37\!\cdots\!81$$$$T^{16} -$$$$35\!\cdots\!78$$$$T^{18} +$$$$26\!\cdots\!49$$$$T^{20} )^{2}$$)($$( 1 + 31 T + 2197 T^{2} )^{2}$$)($$( 1 - 59 T + 2197 T^{2} )^{2}$$)($$( 1 + 36 T + 4518 T^{2} + 79092 T^{3} + 4826809 T^{4} )^{2}$$)($$( 1 - 14 T + 3091 T^{2} - 30758 T^{3} + 4826809 T^{4} )^{2}$$)($$( 1 + 79 T + 6542 T^{2} + 346439 T^{3} + 14372774 T^{4} + 381317911 T^{5} + 10604499373 T^{6} )^{2}$$)($$( 1 + 23 T + 5115 T^{2} + 67458 T^{3} + 14193793 T^{4} + 48898957 T^{5} + 31183763221 T^{6} + 325606881522 T^{7} + 54242014292895 T^{8} + 535855957817063 T^{9} + 51185893014090757 T^{10} )^{2}$$)($$( 1 - T + 3333 T^{2} - 85816 T^{3} + 12357966 T^{4} - 60104190 T^{5} + 27150451302 T^{6} - 414217441144 T^{7} + 35344796410209 T^{8} - 23298085122481 T^{9} + 51185893014090757 T^{10} )^{2}$$)($$( 1 - 123 T + 9911 T^{2} - 514334 T^{3} + 26762121 T^{4} - 1198576829 T^{5} + 58796379837 T^{6} - 2482591980206 T^{7} + 105101193285803 T^{8} - 2865664470065163 T^{9} + 51185893014090757 T^{10} )^{2}$$)($$( 1 + 102 T + 11556 T^{2} + 701920 T^{3} + 46277814 T^{4} + 2243030222 T^{5} + 122614367556 T^{6} + 5767551066654 T^{7} + 288995000101339 T^{8} + 12671309693438838 T^{9} + 591836132848608804 T^{10} + 23786212582819050806 T^{11} +$$$$10\!\cdots\!34$$$$T^{12} +$$$$35\!\cdots\!40$$$$T^{13} +$$$$12\!\cdots\!24$$$$T^{14} +$$$$25\!\cdots\!26$$$$T^{15} +$$$$54\!\cdots\!61$$$$T^{16} )^{2}$$)($$( 1 + 102 T + 11556 T^{2} + 701920 T^{3} + 46277814 T^{4} + 2243030222 T^{5} + 122614367556 T^{6} + 5767551066654 T^{7} + 288995000101339 T^{8} + 12671309693438838 T^{9} + 591836132848608804 T^{10} + 23786212582819050806 T^{11} +$$$$10\!\cdots\!34$$$$T^{12} +$$$$35\!\cdots\!40$$$$T^{13} +$$$$12\!\cdots\!24$$$$T^{14} +$$$$25\!\cdots\!26$$$$T^{15} +$$$$54\!\cdots\!61$$$$T^{16} )^{2}$$)
$17$ ($$1 - 134 T + 4913 T^{2}$$)($$1 - 84 T + 4913 T^{2}$$)($$1 - 94 T + 4913 T^{2}$$)($$1 + 66 T + 4913 T^{2}$$)($$1 + 84 T + 4913 T^{2}$$)($$1 - 50 T + 6579 T^{2} - 245650 T^{3} + 24137569 T^{4}$$)($$1 + 40 T + 8750 T^{2} + 196520 T^{3} + 24137569 T^{4}$$)($$1 - 58 T + 7794 T^{2} - 284954 T^{3} + 24137569 T^{4}$$)($$1 + 116 T + 9030 T^{2} + 569908 T^{3} + 24137569 T^{4}$$)($$1 + 58 T + 7794 T^{2} + 284954 T^{3} + 24137569 T^{4}$$)($$1 - 124 T + 13638 T^{2} - 609212 T^{3} + 24137569 T^{4}$$)($$1 - 44 T + 630 T^{2} - 216172 T^{3} + 24137569 T^{4}$$)($$1 + 16 T + 6558 T^{2} + 78608 T^{3} + 24137569 T^{4}$$)($$1 + 234 T + 30351 T^{2} + 2581612 T^{3} + 149114463 T^{4} + 5648191146 T^{5} + 118587876497 T^{6}$$)($$1 - 234 T + 30351 T^{2} - 2581612 T^{3} + 149114463 T^{4} - 5648191146 T^{5} + 118587876497 T^{6}$$)($$1 - 52 T + 2992 T^{2} - 454246 T^{3} + 14699696 T^{4} - 1255153588 T^{5} + 118587876497 T^{6}$$)($$( 1 + 10390 T^{2} - 437160 T^{3} + 88594648 T^{4} - 3110118600 T^{5} + 646059310858 T^{6} - 26291437885200 T^{7} + 3026812251377422 T^{8} - 129169834329987600 T^{9} + 15594301193927424202 T^{10} -$$$$36\!\cdots\!00$$$$T^{11} +$$$$51\!\cdots\!28$$$$T^{12} -$$$$12\!\cdots\!80$$$$T^{13} +$$$$14\!\cdots\!10$$$$T^{14} +$$$$33\!\cdots\!21$$$$T^{16} )^{2}$$)($$( 1 + 10390 T^{2} + 437160 T^{3} + 88594648 T^{4} + 3110118600 T^{5} + 646059310858 T^{6} + 26291437885200 T^{7} + 3026812251377422 T^{8} + 129169834329987600 T^{9} + 15594301193927424202 T^{10} +$$$$36\!\cdots\!00$$$$T^{11} +$$$$51\!\cdots\!28$$$$T^{12} +$$$$12\!\cdots\!80$$$$T^{13} +$$$$14\!\cdots\!10$$$$T^{14} +$$$$33\!\cdots\!21$$$$T^{16} )^{2}$$)($$1 - 18630 T^{2} + 165676335 T^{4} - 961084533780 T^{6} + 3999023967729615 T^{8} - 10854252279590447430 T^{10} +$$$$14\!\cdots\!09$$$$T^{12}$$)($$1 - 3586 T^{2} - 9840163 T^{4} - 226703927544 T^{6} + 917313320435074 T^{8} + 2772044023815717620 T^{10} +$$$$22\!\cdots\!06$$$$T^{12} -$$$$13\!\cdots\!84$$$$T^{14} -$$$$13\!\cdots\!67$$$$T^{16} -$$$$12\!\cdots\!06$$$$T^{18} +$$$$81\!\cdots\!49$$$$T^{20}$$)($$1 - 27808 T^{2} + 398887406 T^{4} - 3863758657518 T^{6} + 27870658319090257 T^{8} -$$$$15\!\cdots\!08$$$$T^{10} +$$$$67\!\cdots\!33$$$$T^{12} -$$$$22\!\cdots\!98$$$$T^{14} +$$$$56\!\cdots\!54$$$$T^{16} -$$$$94\!\cdots\!68$$$$T^{18} +$$$$81\!\cdots\!49$$$$T^{20}$$)($$( 1 - 36250 T^{2} + 621337085 T^{4} - 6691698706968 T^{6} + 50771672899965538 T^{8} -$$$$28\!\cdots\!64$$$$T^{10} +$$$$12\!\cdots\!22$$$$T^{12} -$$$$38\!\cdots\!48$$$$T^{14} +$$$$87\!\cdots\!65$$$$T^{16} -$$$$12\!\cdots\!50$$$$T^{18} +$$$$81\!\cdots\!49$$$$T^{20} )^{2}$$)($$1 - 96 T + 4303 T^{2} - 471648 T^{3} + 24137569 T^{4}$$)($$1 + 54 T - 1997 T^{2} + 265302 T^{3} + 24137569 T^{4}$$)($$1 + 76 T + 338 T^{2} - 333488 T^{3} - 22943213 T^{4} - 1638426544 T^{5} + 8158498322 T^{6} + 9012678613772 T^{7} + 582622237229761 T^{8}$$)($$1 + 20 T - 7214 T^{2} - 44240 T^{3} + 31870227 T^{4} - 217351120 T^{5} - 174128422766 T^{6} + 2371757529940 T^{7} + 582622237229761 T^{8}$$)($$1 + 72 T - 9451 T^{2} - 322376 T^{3} + 92742014 T^{4} + 1453634728 T^{5} - 466825538823 T^{6} + 7141707418664 T^{7} + 2238566762123966 T^{8} - 38229885273596872 T^{9} - 5506362764058471211 T^{10} +$$$$20\!\cdots\!96$$$$T^{11} +$$$$14\!\cdots\!09$$$$T^{12}$$)($$1 + 136 T + 17627 T^{2} + 1261192 T^{3} + 51283667 T^{4} - 1474736384 T^{5} - 302802583826 T^{6} - 22322448865408 T^{7} + 436909427829105 T^{8} + 170853787341953928 T^{9} + 16229413764409058493 T^{10} +$$$$83\!\cdots\!64$$$$T^{11} +$$$$10\!\cdots\!45$$$$T^{12} -$$$$26\!\cdots\!76$$$$T^{13} -$$$$17\!\cdots\!86$$$$T^{14} -$$$$42\!\cdots\!12$$$$T^{15} +$$$$72\!\cdots\!03$$$$T^{16} +$$$$87\!\cdots\!64$$$$T^{17} +$$$$59\!\cdots\!67$$$$T^{18} +$$$$22\!\cdots\!28$$$$T^{19} +$$$$81\!\cdots\!49$$$$T^{20}$$)($$1 + 2 T - 14261 T^{2} - 138958 T^{3} + 98300987 T^{4} + 1490182020 T^{5} - 460609812434 T^{6} - 8569542609964 T^{7} + 1925726567282549 T^{8} + 18628621470376406 T^{9} - 8447181344461544071 T^{10} + 91522417283959282678 T^{11} +$$$$46\!\cdots\!81$$$$T^{12} -$$$$10\!\cdots\!08$$$$T^{13} -$$$$26\!\cdots\!74$$$$T^{14} +$$$$42\!\cdots\!60$$$$T^{15} +$$$$13\!\cdots\!83$$$$T^{16} -$$$$96\!\cdots\!86$$$$T^{17} -$$$$48\!\cdots\!81$$$$T^{18} +$$$$33\!\cdots\!46$$$$T^{19} +$$$$81\!\cdots\!49$$$$T^{20}$$)($$1 - 124 T - 13393 T^{2} + 1317332 T^{3} + 223226567 T^{4} - 13464256864 T^{5} - 1978738682246 T^{6} + 55979698376512 T^{7} + 15589925656986105 T^{8} - 163083275563038492 T^{9} - 82630650088387671747 T^{10} -$$$$80\!\cdots\!96$$$$T^{11} +$$$$37\!\cdots\!45$$$$T^{12} +$$$$66\!\cdots\!64$$$$T^{13} -$$$$11\!\cdots\!06$$$$T^{14} -$$$$38\!\cdots\!52$$$$T^{15} +$$$$31\!\cdots\!03$$$$T^{16} +$$$$91\!\cdots\!44$$$$T^{17} -$$$$45\!\cdots\!53$$$$T^{18} -$$$$20\!\cdots\!52$$$$T^{19} +$$$$81\!\cdots\!49$$$$T^{20}$$)($$1 + 56 T - 15856 T^{2} - 1771304 T^{3} + 55498572 T^{4} + 16348441356 T^{5} + 574321752280 T^{6} - 30260505189912 T^{7} - 3328043979907486 T^{8} - 338550966295565072 T^{9} - 27890140530722415796 T^{10} +$$$$64\!\cdots\!32$$$$T^{11} +$$$$27\!\cdots\!80$$$$T^{12} +$$$$14\!\cdots\!12$$$$T^{13} -$$$$28\!\cdots\!08$$$$T^{14} -$$$$55\!\cdots\!28$$$$T^{15} -$$$$34\!\cdots\!89$$$$T^{16} -$$$$27\!\cdots\!64$$$$T^{17} -$$$$67\!\cdots\!52$$$$T^{18} +$$$$17\!\cdots\!64$$$$T^{19} +$$$$16\!\cdots\!80$$$$T^{20} +$$$$18\!\cdots\!76$$$$T^{21} -$$$$39\!\cdots\!64$$$$T^{22} -$$$$23\!\cdots\!24$$$$T^{23} -$$$$11\!\cdots\!06$$$$T^{24} -$$$$50\!\cdots\!76$$$$T^{25} +$$$$47\!\cdots\!20$$$$T^{26} +$$$$65\!\cdots\!72$$$$T^{27} +$$$$10\!\cdots\!32$$$$T^{28} -$$$$17\!\cdots\!12$$$$T^{29} -$$$$75\!\cdots\!84$$$$T^{30} +$$$$13\!\cdots\!92$$$$T^{31} +$$$$11\!\cdots\!41$$$$T^{32}$$)($$1 - 56 T - 15856 T^{2} + 1771304 T^{3} + 55498572 T^{4} - 16348441356 T^{5} + 574321752280 T^{6} + 30260505189912 T^{7} - 3328043979907486 T^{8} + 338550966295565072 T^{9} - 27890140530722415796 T^{10} -$$$$64\!\cdots\!32$$$$T^{11} +$$$$27\!\cdots\!80$$$$T^{12} -$$$$14\!\cdots\!12$$$$T^{13} -$$$$28\!\cdots\!08$$$$T^{14} +$$$$55\!\cdots\!28$$$$T^{15} -$$$$34\!\cdots\!89$$$$T^{16} +$$$$27\!\cdots\!64$$$$T^{17} -$$$$67\!\cdots\!52$$$$T^{18} -$$$$17\!\cdots\!64$$$$T^{19} +$$$$16\!\cdots\!80$$$$T^{20} -$$$$18\!\cdots\!76$$$$T^{21} -$$$$39\!\cdots\!64$$$$T^{22} +$$$$23\!\cdots\!24$$$$T^{23} -$$$$11\!\cdots\!06$$$$T^{24} +$$$$50\!\cdots\!76$$$$T^{25} +$$$$47\!\cdots\!20$$$$T^{26} -$$$$65\!\cdots\!72$$$$T^{27} +$$$$10\!\cdots\!32$$$$T^{28} +$$$$17\!\cdots\!12$$$$T^{29} -$$$$75\!\cdots\!84$$$$T^{30} -$$$$13\!\cdots\!92$$$$T^{31} +$$$$11\!\cdots\!41$$$$T^{32}$$)
$19$ ($$1 + 92 T + 6859 T^{2}$$)($$1 - 110 T + 6859 T^{2}$$)($$1 - 40 T + 6859 T^{2}$$)($$1 - 38 T + 6859 T^{2}$$)($$1 - 110 T + 6859 T^{2}$$)($$1 - 36 T + 10170 T^{2} - 246924 T^{3} + 47045881 T^{4}$$)($$1 + 122 T + 17398 T^{2} + 836798 T^{3} + 47045881 T^{4}$$)($$1 + 5490 T^{2} + 47045881 T^{4}$$)($$1 - 102 T + 13134 T^{2} - 699618 T^{3} + 47045881 T^{4}$$)($$1 + 5490 T^{2} + 47045881 T^{4}$$)($$1 + 96 T + 13974 T^{2} + 658464 T^{3} + 47045881 T^{4}$$)($$1 + 108 T + 13254 T^{2} + 740772 T^{3} + 47045881 T^{4}$$)($$1 - 174 T + 18414 T^{2} - 1193466 T^{3} + 47045881 T^{4}$$)($$1 + 82 T + 15513 T^{2} + 1140156 T^{3} + 106403667 T^{4} + 3857762242 T^{5} + 322687697779 T^{6}$$)($$1 + 82 T + 15513 T^{2} + 1140156 T^{3} + 106403667 T^{4} + 3857762242 T^{5} + 322687697779 T^{6}$$)($$1 - 168 T + 26197 T^{2} - 2333344 T^{3} + 179685223 T^{4} - 7903708008 T^{5} + 322687697779 T^{6}$$)($$1 - 32572 T^{2} + 578119908 T^{4} - 6955166781860 T^{6} + 65444541806920244 T^{8} -$$$$55\!\cdots\!32$$$$T^{10} +$$$$45\!\cdots\!20$$$$T^{12} -$$$$37\!\cdots\!88$$$$T^{14} +$$$$27\!\cdots\!50$$$$T^{16} -$$$$17\!\cdots\!28$$$$T^{18} +$$$$10\!\cdots\!20$$$$T^{20} -$$$$57\!\cdots\!12$$$$T^{22} +$$$$32\!\cdots\!24$$$$T^{24} -$$$$16\!\cdots\!60$$$$T^{26} +$$$$62\!\cdots\!48$$$$T^{28} -$$$$16\!\cdots\!92$$$$T^{30} +$$$$23\!\cdots\!41$$$$T^{32}$$)($$1 - 32572 T^{2} + 578119908 T^{4} - 6955166781860 T^{6} + 65444541806920244 T^{8} -$$$$55\!\cdots\!32$$$$T^{10} +$$$$45\!\cdots\!20$$$$T^{12} -$$$$37\!\cdots\!88$$$$T^{14} +$$$$27\!\cdots\!50$$$$T^{16} -$$$$17\!\cdots\!28$$$$T^{18} +$$$$10\!\cdots\!20$$$$T^{20} -$$$$57\!\cdots\!12$$$$T^{22} +$$$$32\!\cdots\!24$$$$T^{24} -$$$$16\!\cdots\!60$$$$T^{26} +$$$$62\!\cdots\!48$$$$T^{28} -$$$$16\!\cdots\!92$$$$T^{30} +$$$$23\!\cdots\!41$$$$T^{32}$$)($$( 1 - 138 T + 26205 T^{2} - 1963716 T^{3} + 179740095 T^{4} - 6492331578 T^{5} + 322687697779 T^{6} )^{2}$$)($$( 1 + 174 T + 30655 T^{2} + 3260120 T^{3} + 355132498 T^{4} + 29134734196 T^{5} + 2435853803782 T^{6} + 153375217565720 T^{7} + 9891991375415245 T^{8} + 385116795917512014 T^{9} + 15181127029874798299 T^{10} )^{2}$$)($$( 1 - 36 T + 16945 T^{2} - 428680 T^{3} + 139308340 T^{4} - 2473195688 T^{5} + 955515904060 T^{6} - 20167628267080 T^{7} + 5467943038865155 T^{8} - 79679337086381796 T^{9} + 15181127029874798299 T^{10} )^{2}$$)($$( 1 + 18 T + 13723 T^{2} - 163576 T^{3} + 120950878 T^{4} - 1989916244 T^{5} + 829602072202 T^{6} - 7695577030456 T^{7} + 4428243276621217 T^{8} + 39839668543190898 T^{9} + 15181127029874798299 T^{10} )^{4}$$)($$1 + 149 T + 15342 T^{2} + 1021991 T^{3} + 47045881 T^{4}$$)($$1 - 121 T + 7782 T^{2} - 829939 T^{3} + 47045881 T^{4}$$)($$1 + 160 T + 6834 T^{2} + 807680 T^{3} + 129526475 T^{4} + 5539877120 T^{5} + 321511550754 T^{6} + 51630031644640 T^{7} + 2213314919066161 T^{8}$$)($$1 + 18 T - 5283 T^{2} - 145998 T^{3} - 17829748 T^{4} - 1001400282 T^{5} - 248543389323 T^{6} + 5808378560022 T^{7} + 2213314919066161 T^{8}$$)($$1 - 29 T - 17643 T^{2} + 128566 T^{3} + 205239771 T^{4} - 153240385 T^{5} - 1627200213666 T^{6} - 1051075800715 T^{7} + 9655685842933251 T^{8} + 41486666552654914 T^{9} - 39049515117084278523 T^{10} -$$$$44\!\cdots\!71$$$$T^{11} +$$$$10\!\cdots\!41$$$$T^{12}$$)($$1 - 39 T - 9880 T^{2} + 624565 T^{3} + 34233842 T^{4} - 5416345181 T^{5} + 257964611298 T^{6} + 32510372903289 T^{7} - 4724786288080355 T^{8} - 95041416218862726 T^{9} + 40077725082249793964 T^{10} -$$$$65\!\cdots\!34$$$$T^{11} -$$$$22\!\cdots\!55$$$$T^{12} +$$$$10\!\cdots\!31$$$$T^{13} +$$$$57\!\cdots\!78$$$$T^{14} -$$$$82\!\cdots\!19$$$$T^{15} +$$$$35\!\cdots\!22$$$$T^{16} +$$$$44\!\cdots\!35$$$$T^{17} -$$$$48\!\cdots\!80$$$$T^{18} -$$$$13\!\cdots\!21$$$$T^{19} +$$$$23\!\cdots\!01$$$$T^{20}$$)($$1 - 21 T - 20094 T^{2} + 939517 T^{3} + 167437943 T^{4} - 9799934370 T^{5} - 1287146857848 T^{6} + 7008445096094 T^{7} + 14499989680340221 T^{8} + 155708744157753493 T^{9} -$$$$12\!\cdots\!86$$$$T^{10} +$$$$10\!\cdots\!87$$$$T^{11} +$$$$68\!\cdots\!01$$$$T^{12} +$$$$22\!\cdots\!26$$$$T^{13} -$$$$28\!\cdots\!28$$$$T^{14} -$$$$14\!\cdots\!30$$$$T^{15} +$$$$17\!\cdots\!63$$$$T^{16} +$$$$67\!\cdots\!23$$$$T^{17} -$$$$98\!\cdots\!74$$$$T^{18} -$$$$70\!\cdots\!19$$$$T^{19} +$$$$23\!\cdots\!01$$$$T^{20}$$)($$1 + 37 T - 21904 T^{2} + 94257 T^{3} + 282384930 T^{4} - 7197449657 T^{5} - 2269051553590 T^{6} + 80463620556965 T^{7} + 13988764492770637 T^{8} - 261602777288079214 T^{9} - 83432723067784841076 T^{10} -$$$$17\!\cdots\!26$$$$T^{11} +$$$$65\!\cdots\!97$$$$T^{12} +$$$$25\!\cdots\!35$$$$T^{13} -$$$$50\!\cdots\!90$$$$T^{14} -$$$$10\!\cdots\!43$$$$T^{15} +$$$$29\!\cdots\!30$$$$T^{16} +$$$$67\!\cdots\!83$$$$T^{17} -$$$$10\!\cdots\!84$$$$T^{18} +$$$$12\!\cdots\!43$$$$T^{19} +$$$$23\!\cdots\!01$$$$T^{20}$$)($$1 - 23344 T^{2} - 1075984 T^{3} + 280050986 T^{4} + 22766922696 T^{5} - 971402398064 T^{6} - 245787087264040 T^{7} - 12226140954237067 T^{8} + 905541946000672960 T^{9} +$$$$19\!\cdots\!56$$$$T^{10} +$$$$62\!\cdots\!48$$$$T^{11} -$$$$87\!\cdots\!86$$$$T^{12} -$$$$10\!\cdots\!24$$$$T^{13} -$$$$27\!\cdots\!12$$$$T^{14} +$$$$34\!\cdots\!16$$$$T^{15} +$$$$55\!\cdots\!36$$$$T^{16} +$$$$23\!\cdots\!44$$$$T^{17} -$$$$13\!\cdots\!72$$$$T^{18} -$$$$33\!\cdots\!96$$$$T^{19} -$$$$19\!\cdots\!46$$$$T^{20} +$$$$94\!\cdots\!52$$$$T^{21} +$$$$20\!\cdots\!96$$$$T^{22} +$$$$64\!\cdots\!40$$$$T^{23} -$$$$59\!\cdots\!07$$$$T^{24} -$$$$82\!\cdots\!60$$$$T^{25} -$$$$22\!\cdots\!64$$$$T^{26} +$$$$35\!\cdots\!64$$$$T^{27} +$$$$30\!\cdots\!66$$$$T^{28} -$$$$80\!\cdots\!36$$$$T^{29} -$$$$11\!\cdots\!84$$$$T^{30} +$$$$23\!\cdots\!41$$$$T^{32}$$)($$1 - 23344 T^{2} - 1075984 T^{3} + 280050986 T^{4} + 22766922696 T^{5} - 971402398064 T^{6} - 245787087264040 T^{7} - 12226140954237067 T^{8} + 905541946000672960 T^{9} +$$$$19\!\cdots\!56$$$$T^{10} +$$$$62\!\cdots\!48$$$$T^{11} -$$$$87\!\cdots\!86$$$$T^{12} -$$$$10\!\cdots\!24$$$$T^{13} -$$$$27\!\cdots\!12$$$$T^{14} +$$$$34\!\cdots\!16$$$$T^{15} +$$$$55\!\cdots\!36$$$$T^{16} +$$$$23\!\cdots\!44$$$$T^{17} -$$$$13\!\cdots\!72$$$$T^{18} -$$$$33\!\cdots\!96$$$$T^{19} -$$$$19\!\cdots\!46$$$$T^{20} +$$$$94\!\cdots\!52$$$$T^{21} +$$$$20\!\cdots\!96$$$$T^{22} +$$$$64\!\cdots\!40$$$$T^{23} -$$$$59\!\cdots\!07$$$$T^{24} -$$$$82\!\cdots\!60$$$$T^{25} -$$$$22\!\cdots\!64$$$$T^{26} +$$$$35\!\cdots\!64$$$$T^{27} +$$$$30\!\cdots\!66$$$$T^{28} -$$$$80\!\cdots\!36$$$$T^{29} -$$$$11\!\cdots\!84$$$$T^{30} +$$$$23\!\cdots\!41$$$$T^{32}$$)
$23$ ($$1 + 112 T + 12167 T^{2}$$)($$1 + 120 T + 12167 T^{2}$$)($$1 + 32 T + 12167 T^{2}$$)($$1 + 12 T + 12167 T^{2}$$)($$1 - 120 T + 12167 T^{2}$$)($$1 + 244 T + 29970 T^{2} + 2968748 T^{3} + 148035889 T^{4}$$)($$1 + 16 T + 782 T^{2} + 194672 T^{3} + 148035889 T^{4}$$)($$1 - 82 T + 25182 T^{2} - 997694 T^{3} + 148035889 T^{4}$$)($$1 + 260 T + 34734 T^{2} + 3163420 T^{3} + 148035889 T^{4}$$)($$1 + 82 T + 25182 T^{2} + 997694 T^{3} + 148035889 T^{4}$$)($$1 - 16 T + 15150 T^{2} - 194672 T^{3} + 148035889 T^{4}$$)($$1 - 320 T + 47934 T^{2} - 3893440 T^{3} + 148035889 T^{4}$$)($$1 + 184 T + 19470 T^{2} + 2238728 T^{3} + 148035889 T^{4}$$)($$1 + 30 T + 19233 T^{2} + 1108300 T^{3} + 234007911 T^{4} + 4441076670 T^{5} + 1801152661463 T^{6}$$)($$1 - 30 T + 19233 T^{2} - 1108300 T^{3} + 234007911 T^{4} - 4441076670 T^{5} + 1801152661463 T^{6}$$)($$1 - 124 T + 38233 T^{2} - 2923048 T^{3} + 465180911 T^{4} - 18356450236 T^{5} + 1801152661463 T^{6}$$)($$1 - 72560 T^{2} + 2720317248 T^{4} - 71635655797200 T^{6} + 1511807370159031932 T^{8} -$$$$27\!\cdots\!80$$$$T^{10} +$$$$43\!\cdots\!92$$$$T^{12} -$$$$61\!\cdots\!40$$$$T^{14} +$$$$78\!\cdots\!74$$$$T^{16} -$$$$90\!\cdots\!60$$$$T^{18} +$$$$94\!\cdots\!32$$$$T^{20} -$$$$88\!\cdots\!20$$$$T^{22} +$$$$72\!\cdots\!12$$$$T^{24} -$$$$50\!\cdots\!00$$$$T^{26} +$$$$28\!\cdots\!28$$$$T^{28} -$$$$11\!\cdots\!40$$$$T^{30} +$$$$23\!\cdots\!81$$$$T^{32}$$)($$1 - 72560 T^{2} + 2720317248 T^{4} - 71635655797200 T^{6} + 1511807370159031932 T^{8} -$$$$27\!\cdots\!80$$$$T^{10} +$$$$43\!\cdots\!92$$$$T^{12} -$$$$61\!\cdots\!40$$$$T^{14} +$$$$78\!\cdots\!74$$$$T^{16} -$$$$90\!\cdots\!60$$$$T^{18} +$$$$94\!\cdots\!32$$$$T^{20} -$$$$88\!\cdots\!20$$$$T^{22} +$$$$72\!\cdots\!12$$$$T^{24} -$$$$50\!\cdots\!00$$$$T^{26} +$$$$28\!\cdots\!28$$$$T^{28} -$$$$11\!\cdots\!40$$$$T^{30} +$$$$23\!\cdots\!81$$$$T^{32}$$)($$1 - 48042 T^{2} + 1101997215 T^{4} - 16142068432204 T^{6} + 163135137398049135 T^{8} -$$$$10\!\cdots\!82$$$$T^{10} +$$$$32\!\cdots\!69$$$$T^{12}$$)($$1 - 68862 T^{2} + 2443463533 T^{4} - 58952757931656 T^{6} + 1054996500313105346 T^{8} -$$$$14\!\cdots\!64$$$$T^{10} +$$$$15\!\cdots\!94$$$$T^{12} -$$$$12\!\cdots\!76$$$$T^{14} +$$$$79\!\cdots\!77$$$$T^{16} -$$$$33\!\cdots\!42$$$$T^{18} +$$$$71\!\cdots\!49$$$$T^{20}$$)($$1 - 45414 T^{2} + 1274694781 T^{4} - 26147824589064 T^{6} + 429674577520286642 T^{8} -$$$$57\!\cdots\!04$$$$T^{10} +$$$$63\!\cdots\!38$$$$T^{12} -$$$$57\!\cdots\!44$$$$T^{14} +$$$$41\!\cdots\!89$$$$T^{16} -$$$$21\!\cdots\!74$$$$T^{18} +$$$$71\!\cdots\!49$$$$T^{20}$$)($$( 1 - 48546 T^{2} + 995727757 T^{4} - 10124366986488 T^{6} + 37126131901689506 T^{8} +$$$$11\!\cdots\!96$$$$T^{10} +$$$$54\!\cdots\!34$$$$T^{12} -$$$$22\!\cdots\!48$$$$T^{14} +$$$$32\!\cdots\!33$$$$T^{16} -$$$$23\!\cdots\!86$$$$T^{18} +$$$$71\!\cdots\!49$$$$T^{20} )^{2}$$)($$1 + 141 T + 7714 T^{2} + 1715547 T^{3} + 148035889 T^{4}$$)($$1 - 69 T - 7406 T^{2} - 839523 T^{3} + 148035889 T^{4}$$)($$1 + 22 T + 3407 T^{2} - 599654 T^{3} - 145380788 T^{4} - 7295990218 T^{5} + 504358273823 T^{6} + 39625358552186 T^{7} + 21914624432020321 T^{8}$$)($$1 + 68 T - 19514 T^{2} - 13328 T^{3} + 378346947 T^{4} - 162161776 T^{5} - 2888772337946 T^{6} + 122478380979484 T^{7} + 21914624432020321 T^{8}$$)($$1 + 63 T - 28408 T^{2} - 920141 T^{3} + 561102572 T^{4} + 7607171815 T^{5} - 7549311617142 T^{6} + 92556459473105 T^{7} + 83063318066206508 T^{8} - 1657314411071226283 T^{9} -$$$$62\!\cdots\!68$$$$T^{10} +$$$$16\!\cdots\!41$$$$T^{11} +$$$$32\!\cdots\!69$$$$T^{12}$$)($$1 + 133 T - 7186 T^{2} + 4075423 T^{3} + 803226335 T^{4} - 26486527262 T^{5} + 7194420605464 T^{6} + 2387572288321298 T^{7} - 21820426257674127 T^{8} + 4470686607756087351 T^{9} +$$$$40\!\cdots\!02$$$$T^{10} +$$$$54\!\cdots\!17$$$$T^{11} -$$$$32\!\cdots\!03$$$$T^{12} +$$$$43\!\cdots\!74$$$$T^{13} +$$$$15\!\cdots\!44$$$$T^{14} -$$$$70\!\cdots\!34$$$$T^{15} +$$$$26\!\cdots\!15$$$$T^{16} +$$$$16\!\cdots\!29$$$$T^{17} -$$$$34\!\cdots\!26$$$$T^{18} +$$$$77\!\cdots\!51$$$$T^{19} +$$$$71\!\cdots\!49$$$$T^{20}$$)($$1 - 201 T - 8588 T^{2} + 2602055 T^{3} + 123259362 T^{4} + 4272835029 T^{5} - 7259002378338 T^{6} + 285773779105835 T^{7} + 81100284674964733 T^{8} - 4436119997844018170 T^{9} -$$$$41\!\cdots\!12$$$$T^{10} -$$$$53\!\cdots\!90$$$$T^{11} +$$$$12\!\cdots\!37$$$$T^{12} +$$$$51\!\cdots\!05$$$$T^{13} -$$$$15\!\cdots\!98$$$$T^{14} +$$$$11\!\cdots\!03$$$$T^{15} +$$$$39\!\cdots\!78$$$$T^{16} +$$$$10\!\cdots\!65$$$$T^{17} -$$$$41\!\cdots\!08$$$$T^{18} -$$$$11\!\cdots\!47$$$$T^{19} +$$$$71\!\cdots\!49$$$$T^{20}$$)($$1 - 77 T - 40526 T^{2} + 3164693 T^{3} + 912830895 T^{4} - 63875502782 T^{5} - 14990398295836 T^{6} + 743770274612358 T^{7} + 208475820275483873 T^{8} - 3628111953906564439 T^{9} -$$$$26\!\cdots\!78$$$$T^{10} -$$$$44\!\cdots\!13$$$$T^{11} +$$$$30\!\cdots\!97$$$$T^{12} +$$$$13\!\cdots\!54$$$$T^{13} -$$$$32\!\cdots\!56$$$$T^{14} -$$$$17\!\cdots\!74$$$$T^{15} +$$$$29\!\cdots\!55$$$$T^{16} +$$$$12\!\cdots\!39$$$$T^{17} -$$$$19\!\cdots\!66$$$$T^{18} -$$$$44\!\cdots\!19$$$$T^{19} +$$$$71\!\cdots\!49$$$$T^{20}$$)($$1 + 190 T - 49445 T^{2} - 8598278 T^{3} + 1749401879 T^{4} + 223116244032 T^{5} - 48205686507496 T^{6} - 4282319586283252 T^{7} + 1042058853504565647 T^{8} + 62565012647346857234 T^{9} -$$$$19\!\cdots\!77$$$$T^{10} -$$$$76\!\cdots\!10$$$$T^{11} +$$$$31\!\cdots\!58$$$$T^{12} +$$$$71\!\cdots\!82$$$$T^{13} -$$$$45\!\cdots\!61$$$$T^{14} -$$$$31\!\cdots\!10$$$$T^{15} +$$$$59\!\cdots\!20$$$$T^{16} -$$$$38\!\cdots\!70$$$$T^{17} -$$$$67\!\cdots\!29$$$$T^{18} +$$$$12\!\cdots\!66$$$$T^{19} +$$$$69\!\cdots\!18$$$$T^{20} -$$$$20\!\cdots\!70$$$$T^{21} -$$$$62\!\cdots\!13$$$$T^{22} +$$$$24\!\cdots\!82$$$$T^{23} +$$$$50\!\cdots\!27$$$$T^{24} -$$$$25\!\cdots\!44$$$$T^{25} -$$$$34\!\cdots\!04$$$$T^{26} +$$$$19\!\cdots\!56$$$$T^{27} +$$$$18\!\cdots\!19$$$$T^{28} -$$$$11\!\cdots\!86$$$$T^{29} -$$$$77\!\cdots\!05$$$$T^{30} +$$$$36\!\cdots\!70$$$$T^{31} +$$$$23\!\cdots\!81$$$$T^{32}$$)($$1 - 190 T - 49445 T^{2} + 8598278 T^{3} + 1749401879 T^{4} - 223116244032 T^{5} - 48205686507496 T^{6} + 4282319586283252 T^{7} + 1042058853504565647 T^{8} - 62565012647346857234 T^{9} -$$$$19\!\cdots\!77$$$$T^{10} +$$$$76\!\cdots\!10$$$$T^{11} +$$$$31\!\cdots\!58$$$$T^{12} -$$$$71\!\cdots\!82$$$$T^{13} -$$$$45\!\cdots\!61$$$$T^{14} +$$$$31\!\cdots\!10$$$$T^{15} +$$$$59\!\cdots\!20$$$$T^{16} +$$$$38\!\cdots\!70$$$$T^{17} -$$$$67\!\cdots\!29$$$$T^{18} -$$$$12\!\cdots\!66$$$$T^{19} +$$$$69\!\cdots\!18$$$$T^{20} +$$$$20\!\cdots\!70$$$$T^{21} -$$$$62\!\cdots\!13$$$$T^{22} -$$$$24\!\cdots\!82$$$$T^{23} +$$$$50\!\cdots\!27$$$$T^{24} +$$$$25\!\cdots\!44$$$$T^{25} -$$$$34\!\cdots\!04$$$$T^{26} -$$$$19\!\cdots\!56$$$$T^{27} +$$$$18\!\cdots\!19$$$$T^{28} +$$$$11\!\cdots\!86$$$$T^{29} -$$$$77\!\cdots\!05$$$$T^{30} -$$$$36\!\cdots\!70$$$$T^{31} +$$$$23\!\cdots\!81$$$$T^{32}$$)
$29$ ($$1 - 58 T + 24389 T^{2}$$)($$1 + 162 T + 24389 T^{2}$$)($$1 - 50 T + 24389 T^{2}$$)($$1 - 258 T + 24389 T^{2}$$)($$1 - 162 T + 24389 T^{2}$$)($$1 - 26 T + 47795 T^{2} - 634114 T^{3} + 594823321 T^{4}$$)($$1 + 352 T + 78278 T^{2} + 8584928 T^{3} + 594823321 T^{4}$$)($$1 - 334 T + 72842 T^{2} - 8145926 T^{3} + 594823321 T^{4}$$)($$1 - 196 T + 20942 T^{2} - 4780244 T^{3} + 594823321 T^{4}$$)($$1 + 334 T + 72842 T^{2} + 8145926 T^{3} + 594823321 T^{4}$$)($$1 + 188 T + 34286 T^{2} + 4585132 T^{3} + 594823321 T^{4}$$)($$1 - 236 T + 61982 T^{2} - 5755804 T^{3} + 594823321 T^{4}$$)($$1 - 32 T + 19046 T^{2} - 780448 T^{3} + 594823321 T^{4}$$)($$1 - 32 T + 28367 T^{2} - 1970496 T^{3} + 691842763 T^{4} - 19034346272 T^{5} + 14507145975869 T^{6}$$)($$1 + 32 T + 28367 T^{2} + 1970496 T^{3} + 691842763 T^{4} + 19034346272 T^{5} + 14507145975869 T^{6}$$)($$1 + 332 T + 80572 T^{2} + 13628846 T^{3} + 1965070508 T^{4} + 197481342572 T^{5} + 14507145975869 T^{6}$$)($$1 - 198704 T^{2} + 19617059136 T^{4} - 1290482055305040 T^{6} + 64119713795903051964 T^{8} -$$$$25\!\cdots\!52$$$$T^{10} +$$$$88\!\cdots\!80$$$$T^{12} -$$$$26\!\cdots\!84$$$$T^{14} +$$$$68\!\cdots\!42$$$$T^{16} -$$$$15\!\cdots\!64$$$$T^{18} +$$$$31\!\cdots\!80$$$$T^{20} -$$$$54\!\cdots\!72$$$$T^{22} +$$$$80\!\cdots\!84$$$$T^{24} -$$$$96\!\cdots\!40$$$$T^{26} +$$$$86\!\cdots\!56$$$$T^{28} -$$$$52\!\cdots\!64$$$$T^{30} +$$$$15\!\cdots\!61$$$$T^{32}$$)($$1 - 198704 T^{2} + 19617059136 T^{4} - 1290482055305040 T^{6} + 64119713795903051964 T^{8} -$$$$25\!\cdots\!52$$$$T^{10} +$$$$88\!\cdots\!80$$$$T^{12} -$$$$26\!\cdots\!84$$$$T^{14} +$$$$68\!\cdots\!42$$$$T^{16} -$$$$15\!\cdots\!64$$$$T^{18} +$$$$31\!\cdots\!80$$$$T^{20} -$$$$54\!\cdots\!72$$$$T^{22} +$$$$80\!\cdots\!84$$$$T^{24} -$$$$96\!\cdots\!40$$$$T^{26} +$$$$86\!\cdots\!56$$$$T^{28} -$$$$52\!\cdots\!64$$$$T^{30} +$$$$15\!\cdots\!61$$$$T^{32}$$)($$( 1 - 170 T + 65051 T^{2} - 6611676 T^{3} + 1586528839 T^{4} - 101119964570 T^{5} + 14507145975869 T^{6} )^{2}$$)($$( 1 - 370 T + 160385 T^{2} - 37125560 T^{3} + 8745786530 T^{4} - 1370740158092 T^{5} + 213300987680170 T^{6} - 22083148893184760 T^{7} + 2326728607339749565 T^{8} -$$$$13\!\cdots\!70$$$$T^{9} +$$$$86\!\cdots\!49$$$$T^{10} )^{2}$$)($$( 1 + 44 T + 5930 T^{2} - 1541470 T^{3} + 551498365 T^{4} - 1453032508 T^{5} + 13450493623985 T^{6} - 916902304621870 T^{7} + 86027375636903170 T^{8} + 15567850461040637804 T^{9} +$$$$86\!\cdots\!49$$$$T^{10} )^{2}$$)($$( 1 + 150558 T^{2} + 10973579269 T^{4} + 521943931976552 T^{6} + 18311317939333682578 T^{8} +$$$$50\!\cdots\!64$$$$T^{10} +$$$$10\!\cdots\!38$$$$T^{12} +$$$$18\!\cdots\!32$$$$T^{14} +$$$$23\!\cdots\!09$$$$T^{16} +$$$$18\!\cdots\!98$$$$T^{18} +$$$$74\!\cdots\!01$$$$T^{20} )^{2}$$)($$( 1 + 48 T + 24389 T^{2} )^{2}$$)($$( 1 - 162 T + 24389 T^{2} )^{2}$$)($$( 1 - 250 T + 57203 T^{2} - 6097250 T^{3} + 594823321 T^{4} )^{2}$$)($$( 1 - 332 T + 76262 T^{2} - 8097148 T^{3} + 594823321 T^{4} )^{2}$$)($$( 1 + 220 T + 74711 T^{2} + 10703064 T^{3} + 1822126579 T^{4} + 130861130620 T^{5} + 14507145975869 T^{6} )^{2}$$)($$( 1 + 272 T + 89713 T^{2} + 18586464 T^{3} + 4032454334 T^{4} + 595833637376 T^{5} + 98347528751926 T^{6} + 11055662242126944 T^{7} + 1301479586933135597 T^{8} + 96237621031887579152 T^{9} +$$$$86\!\cdots\!49$$$$T^{10} )^{2}$$)($$( 1 + 190 T + 63587 T^{2} + 10646688 T^{3} + 1713461669 T^{4} + 306482100734 T^{5} + 41789616645241 T^{6} + 6332898313810848 T^{7} + 922465891167582103 T^{8} + 67224808809039117790 T^{9} +$$$$86\!\cdots\!49$$$$T^{10} )^{2}$$)($$( 1 + 360 T + 130325 T^{2} + 27401400 T^{3} + 6029894570 T^{4} + 923796431136 T^{5} + 147063098667730 T^{6} + 16298991748049400 T^{7} + 1890643799305127425 T^{8} +$$$$12\!\cdots\!60$$$$T^{9} +$$$$86\!\cdots\!49$$$$T^{10} )^{2}$$)($$( 1 - 296 T + 116368 T^{2} - 18626212 T^{3} + 4847971720 T^{4} - 533722710084 T^{5} + 128029859776740 T^{6} - 9608165504020128 T^{7} + 2819026514713272342 T^{8} -$$$$23\!\cdots\!92$$$$T^{9} +$$$$76\!\cdots\!40$$$$T^{10} -$$$$77\!\cdots\!96$$$$T^{11} +$$$$17\!\cdots\!20$$$$T^{12} -$$$$16\!\cdots\!88$$$$T^{13} +$$$$24\!\cdots\!48$$$$T^{14} -$$$$15\!\cdots\!84$$$$T^{15} +$$$$12\!\cdots\!81$$$$T^{16} )^{2}$$)($$( 1 + 296 T + 116368 T^{2} + 18626212 T^{3} + 4847971720 T^{4} + 533722710084 T^{5} + 128029859776740 T^{6} + 9608165504020128 T^{7} + 2819026514713272342 T^{8} +$$$$23\!\cdots\!92$$$$T^{9} +$$$$76\!\cdots\!40$$$$T^{10} +$$$$77\!\cdots\!96$$$$T^{11} +$$$$17\!\cdots\!20$$$$T^{12} +$$$$16\!\cdots\!88$$$$T^{13} +$$$$24\!\cdots\!48$$$$T^{14} +$$$$15\!\cdots\!84$$$$T^{15} +$$$$12\!\cdots\!81$$$$T^{16} )^{2}$$)
$31$ ($$1 + 224 T + 29791 T^{2}$$)($$1 - 236 T + 29791 T^{2}$$)($$1 + 248 T + 29791 T^{2}$$)($$1 - 146 T + 29791 T^{2}$$)($$1 - 236 T + 29791 T^{2}$$)($$1 + 120 T - 1618 T^{2} + 3574920 T^{3} + 887503681 T^{4}$$)($$1 - 66 T + 45870 T^{2} - 1966206 T^{3} + 887503681 T^{4}$$)($$1 + 210 T + 69230 T^{2} + 6256110 T^{3} + 887503681 T^{4}$$)($$1 - 150 T + 36542 T^{2} - 4468650 T^{3} + 887503681 T^{4}$$)($$1 + 210 T + 69230 T^{2} + 6256110 T^{3} + 887503681 T^{4}$$)($$1 + 120 T + 60590 T^{2} + 3574920 T^{3} + 887503681 T^{4}$$)($$1 + 60 T + 8462 T^{2} + 1787460 T^{3} + 887503681 T^{4}$$)($$1 - 330 T + 85430 T^{2} - 9831030 T^{3} + 887503681 T^{4}$$)($$1 + 362 T + 131221 T^{2} + 23112348 T^{3} + 3909204811 T^{4} + 321276332522 T^{5} + 26439622160671 T^{6}$$)($$1 + 362 T + 131221 T^{2} + 23112348 T^{3} + 3909204811 T^{4} + 321276332522 T^{5} + 26439622160671 T^{6}$$)($$1 - 320 T + 113341 T^{2} - 19016064 T^{3} + 3376541731 T^{4} - 284001177920 T^{5} + 26439622160671 T^{6}$$)($$1 - 241264 T^{2} + 29793061272 T^{4} - 2498231386314320 T^{6} +$$$$15\!\cdots\!88$$$$T^{8} -$$$$81\!\cdots\!04$$$$T^{10} +$$$$35\!\cdots\!32$$$$T^{12} -$$$$13\!\cdots\!00$$$$T^{14} +$$$$41\!\cdots\!10$$$$T^{16} -$$$$11\!\cdots\!00$$$$T^{18} +$$$$27\!\cdots\!52$$$$T^{20} -$$$$57\!\cdots\!64$$$$T^{22} +$$$$98\!\cdots\!48$$$$T^{24} -$$$$13\!\cdots\!20$$$$T^{26} +$$$$14\!\cdots\!32$$$$T^{28} -$$$$10\!\cdots\!04$$$$T^{30} +$$$$38\!\cdots\!41$$$$T^{32}$$)($$1 - 241264 T^{2} + 29793061272 T^{4} - 2498231386314320 T^{6} +$$$$15\!\cdots\!88$$$$T^{8} -$$$$81\!\cdots\!04$$$$T^{10} +$$$$35\!\cdots\!32$$$$T^{12} -$$$$13\!\cdots\!00$$$$T^{14} +$$$$41\!\cdots\!10$$$$T^{16} -$$$$11\!\cdots\!00$$$$T^{18} +$$$$27\!\cdots\!52$$$$T^{20} -$$$$57\!\cdots\!64$$$$T^{22} +$$$$98\!\cdots\!48$$$$T^{24} -$$$$13\!\cdots\!20$$$$T^{26} +$$$$14\!\cdots\!32$$$$T^{28} -$$$$10\!\cdots\!04$$$$T^{30} +$$$$38\!\cdots\!41$$$$T^{32}$$)($$( 1 + 366 T + 102201 T^{2} + 18296380 T^{3} + 3044669991 T^{4} + 324826347246 T^{5} + 26439622160671 T^{6} )^{2}$$)($$( 1 - 342 T + 142051 T^{2} - 26927448 T^{3} + 6639779138 T^{4} - 944601593732 T^{5} + 197805660300158 T^{6} - 23898209219936088 T^{7} + 3755774767545476221 T^{8} -$$$$26\!\cdots\!62$$$$T^{9} +$$$$23\!\cdots\!51$$$$T^{10} )^{2}$$)($$( 1 - 60 T + 93703 T^{2} - 4540464 T^{3} + 4639455974 T^{4} - 198463065128 T^{5} + 138214032921434 T^{6} - 4029678513447984 T^{7} + 2477471915321354713 T^{8} - 47259767027312985660 T^{9} +$$$$23\!\cdots\!51$$$$T^{10} )^{2}$$)($$( 1 + 12 T + 46651 T^{2} - 4037112 T^{3} + 915681962 T^{4} - 184866929576 T^{5} + 27279081329942 T^{6} - 3582951760609272 T^{7} + 1233434813417462821 T^{8} + 9451953405462597132 T^{9} +$$$$23\!\cdots\!51$$$$T^{10} )^{4}$$)($$1 - 178 T + 1893 T^{2} - 5302798 T^{3} + 887503681 T^{4}$$)($$1 - 88 T - 22047 T^{2} - 2621608 T^{3} + 887503681 T^{4}$$)($$1 - 132 T - 26514 T^{2} + 2065008 T^{3} + 523965779 T^{4} + 61518653328 T^{5} - 23531272598034 T^{6} - 3490030125208572 T^{7} + 787662783788549761 T^{8}$$)($$1 + 66 T - 53723 T^{2} - 99198 T^{3} + 2355896964 T^{4} - 2955207618 T^{5} - 47679360254363 T^{6} + 1745015062604286 T^{7} + 787662783788549761 T^{8}$$)($$1 + 136 T - 8546 T^{2} - 2998636 T^{3} - 528330122 T^{4} - 8154034460 T^{5} + 25822124352518 T^{6} - 242916840597860 T^{7} - 468894928058179082 T^{8} - 79282802837385844756 T^{9} -$$$$67\!\cdots\!06$$$$T^{10} +$$$$31\!\cdots\!36$$$$T^{11} +$$$$69\!\cdots\!41$$$$T^{12}$$)($$1 - 430 T + 15907 T^{2} + 21798754 T^{3} - 2419402776 T^{4} - 860625141498 T^{5} + 180970103191009 T^{6} + 11431707811370410 T^{7} - 5289476269692339797 T^{8} -$$$$20\!\cdots\!76$$$$T^{9} +$$$$18\!\cdots\!32$$$$T^{10} -$$$$61\!\cdots\!16$$$$T^{11} -$$$$46\!\cdots\!57$$$$T^{12} +$$$$30\!\cdots\!10$$$$T^{13} +$$$$14\!\cdots\!49$$$$T^{14} -$$$$20\!\cdots\!98$$$$T^{15} -$$$$16\!\cdots\!16$$$$T^{16} +$$$$45\!\cdots\!74$$$$T^{17} +$$$$98\!\cdots\!47$$$$T^{18} -$$$$79\!\cdots\!30$$$$T^{19} +$$$$55\!\cdots\!01$$$$T^{20}$$)($$1 + 388 T - 22159 T^{2} - 20563236 T^{3} + 2008090307 T^{4} + 1081135761624 T^{5} - 53801367425630 T^{6} - 25898096736714840 T^{7} + 2959646551177751045 T^{8} +$$$$44\!\cdots\!60$$$$T^{9} -$$$$63\!\cdots\!45$$$$T^{10} +$$$$13\!\cdots\!60$$$$T^{11} +$$$$26\!\cdots\!45$$$$T^{12} -$$$$68\!\cdots\!40$$$$T^{13} -$$$$42\!\cdots\!30$$$$T^{14} +$$$$25\!\cdots\!24$$$$T^{15} +$$$$14\!\cdots\!87$$$$T^{16} -$$$$42\!\cdots\!16$$$$T^{17} -$$$$13\!\cdots\!39$$$$T^{18} +$$$$71\!\cdots\!68$$$$T^{19} +$$$$55\!\cdots\!01$$$$T^{20}$$)($$1 + 314 T - 25093 T^{2} - 11954934 T^{3} + 865517672 T^{4} + 110001595950 T^{5} - 90893388430871 T^{6} - 6546943301723310 T^{7} + 2772893062489254731 T^{8} +$$$$16\!\cdots\!96$$$$T^{9} -$$$$56\!\cdots\!12$$$$T^{10} +$$$$49\!\cdots\!36$$$$T^{11} +$$$$24\!\cdots\!11$$$$T^{12} -$$$$17\!\cdots\!10$$$$T^{13} -$$$$71\!\cdots\!31$$$$T^{14} +$$$$25\!\cdots\!50$$$$T^{15} +$$$$60\!\cdots\!52$$$$T^{16} -$$$$24\!\cdots\!54$$$$T^{17} -$$$$15\!\cdots\!53$$$$T^{18} +$$$$58\!\cdots\!54$$$$T^{19} +$$$$55\!\cdots\!01$$$$T^{20}$$)($$1 + 42 T - 94847 T^{2} - 8057574 T^{3} + 3665781856 T^{4} + 480290972574 T^{5} - 66837670531783 T^{6} - 11080191752190666 T^{7} + 477668977936596729 T^{8} + 96564355247518102056 T^{9} -$$$$67\!\cdots\!20$$$$T^{10} -$$$$48\!\cdots\!20$$$$T^{11} -$$$$88\!\cdots\!82$$$$T^{12} +$$$$35\!\cdots\!64$$$$T^{13} +$$$$11\!\cdots\!86$$$$T^{14} -$$$$65\!\cdots\!84$$$$T^{15} -$$$$47\!\cdots\!20$$$$T^{16} -$$$$19\!\cdots\!44$$$$T^{17} +$$$$99\!\cdots\!66$$$$T^{18} +$$$$93\!\cdots\!44$$$$T^{19} -$$$$69\!\cdots\!02$$$$T^{20} -$$$$11\!\cdots\!20$$$$T^{21} -$$$$47\!\cdots\!20$$$$T^{22} +$$$$20\!\cdots\!36$$$$T^{23} +$$$$29\!\cdots\!09$$$$T^{24} -$$$$20\!\cdots\!26$$$$T^{25} -$$$$36\!\cdots\!83$$$$T^{26} +$$$$78\!\cdots\!34$$$$T^{27} +$$$$17\!\cdots\!36$$$$T^{28} -$$$$11\!\cdots\!54$$$$T^{29} -$$$$41\!\cdots\!67$$$$T^{30} +$$$$54\!\cdots\!42$$$$T^{31} +$$$$38\!\cdots\!41$$$$T^{32}$$)($$1 + 42 T - 94847 T^{2} - 8057574 T^{3} + 3665781856 T^{4} + 480290972574 T^{5} - 66837670531783 T^{6} - 11080191752190666 T^{7} + 477668977936596729 T^{8} + 96564355247518102056 T^{9} -$$$$67\!\cdots\!20$$$$T^{10} -$$$$48\!\cdots\!20$$$$T^{11} -$$$$88\!\cdots\!82$$$$T^{12} +$$$$35\!\cdots\!64$$$$T^{13} +$$$$11\!\cdots\!86$$$$T^{14} -$$$$65\!\cdots\!84$$$$T^{15} -$$$$47\!\cdots\!20$$$$T^{16} -$$$$19\!\cdots\!44$$$$T^{17} +$$$$99\!\cdots\!66$$$$T^{18} +$$$$93\!\cdots\!44$$$$T^{19} -$$$$69\!\cdots\!02$$$$T^{20} -$$$$11\!\cdots\!20$$$$T^{21} -$$$$47\!\cdots\!20$$$$T^{22} +$$$$20\!\cdots\!36$$$$T^{23} +$$$$29\!\cdots\!09$$$$T^{24} -$$$$20\!\cdots\!26$$$$T^{25} -$$$$36\!\cdots\!83$$$$T^{26} +$$$$78\!\cdots\!34$$$$T^{27} +$$$$17\!\cdots\!36$$$$T^{28} -$$$$11\!\cdots\!54$$$$T^{29} -$$$$41\!\cdots\!67$$$$T^{30} +$$$$54\!\cdots\!42$$$$T^{31} +$$$$38\!\cdots\!41$$$$T^{32}$$)
$37$ ($$1 + 146 T + 50653 T^{2}$$)($$1 + 376 T + 50653 T^{2}$$)($$1 + 434 T + 50653 T^{2}$$)($$1 - 434 T + 50653 T^{2}$$)($$1 + 376 T + 50653 T^{2}$$)($$1 - 564 T + 173630 T^{2} - 28568292 T^{3} + 2565726409 T^{4}$$)($$1 + 188 T + 44542 T^{2} + 9522764 T^{3} + 2565726409 T^{4}$$)($$1 - 6 T + 97490 T^{2} - 303918 T^{3} + 2565726409 T^{4}$$)($$1 + 96 T + 82550 T^{2} + 4862688 T^{3} + 2565726409 T^{4}$$)($$1 - 6 T + 97490 T^{2} - 303918 T^{3} + 2565726409 T^{4}$$)($$1 + 132 T + 70814 T^{2} + 6686196 T^{3} + 2565726409 T^{4}$$)($$1 - 204 T + 108830 T^{2} - 10333212 T^{3} + 2565726409 T^{4}$$)($$1 + 132 T + 103214 T^{2} + 6686196 T^{3} + 2565726409 T^{4}$$)($$1 - 302 T + 153027 T^{2} - 29168916 T^{3} + 7751276631 T^{4} - 774849375518 T^{5} + 129961739795077 T^{6}$$)($$1 - 302 T + 153027 T^{2} - 29168916 T^{3} + 7751276631 T^{4} - 774849375518 T^{5} + 129961739795077 T^{6}$$)($$1 + 54 T + 139843 T^{2} + 5496260 T^{3} + 7083467479 T^{4} + 138549226086 T^{5} + 129961739795077 T^{6}$$)($$( 1 - 476 T + 388992 T^{2} - 142204668 T^{3} + 65456504520 T^{4} - 19325228752500 T^{5} + 6393368094105488 T^{6} - 1543976117751878836 T^{7} +$$$$39\!\cdots\!82$$$$T^{8} -$$$$78\!\cdots\!08$$$$T^{9} +$$$$16\!\cdots\!92$$$$T^{10} -$$$$25\!\cdots\!00$$$$T^{11} +$$$$43\!\cdots\!20$$$$T^{12} -$$$$47\!\cdots\!24$$$$T^{13} +$$$$65\!\cdots\!68$$$$T^{14} -$$$$40\!\cdots\!12$$$$T^{15} +$$$$43\!\cdots\!61$$$$T^{16} )^{2}$$)($$( 1 - 476 T + 388992 T^{2} - 142204668 T^{3} + 65456504520 T^{4} - 19325228752500 T^{5} + 6393368094105488 T^{6} - 1543976117751878836 T^{7} +$$$$39\!\cdots\!82$$$$T^{8} -$$$$78\!\cdots\!08$$$$T^{9} +$$$$16\!\cdots\!92$$$$T^{10} -$$$$25\!\cdots\!00$$$$T^{11} +$$$$43\!\cdots\!20$$$$T^{12} -$$$$47\!\cdots\!24$$$$T^{13} +$$$$65\!\cdots\!68$$$$T^{14} -$$$$40\!\cdots\!12$$$$T^{15} +$$$$43\!\cdots\!61$$$$T^{16} )^{2}$$)($$1 - 135294 T^{2} + 11227035399 T^{4} - 635435307878212 T^{6} + 28805501217992152191 T^{8} -$$$$89\!\cdots\!14$$$$T^{10} +$$$$16\!\cdots\!29$$$$T^{12}$$)($$1 - 160866 T^{2} + 14645741397 T^{4} - 941454249392984 T^{6} + 51314852590450172274 T^{8} -$$$$26\!\cdots\!00$$$$T^{10} +$$$$13\!\cdots\!66$$$$T^{12} -$$$$61\!\cdots\!04$$$$T^{14} +$$$$24\!\cdots\!13$$$$T^{16} -$$$$69\!\cdots\!26$$$$T^{18} +$$$$11\!\cdots\!49$$$$T^{20}$$)($$1 - 341874 T^{2} + 58168168629 T^{4} - 6417971253293144 T^{6} +$$$$50\!\cdots\!78$$$$T^{8} -$$$$29\!\cdots\!04$$$$T^{10} +$$$$12\!\cdots\!02$$$$T^{12} -$$$$42\!\cdots\!64$$$$T^{14} +$$$$98\!\cdots\!41$$$$T^{16} -$$$$14\!\cdots\!14$$$$T^{18} +$$$$11\!\cdots\!49$$$$T^{20}$$)($$( 1 - 213534 T^{2} + 23863457589 T^{4} - 1950069954458984 T^{6} +$$$$13\!\cdots\!98$$$$T^{8} -$$$$74\!\cdots\!04$$$$T^{10} +$$$$34\!\cdots\!82$$$$T^{12} -$$$$12\!\cdots\!04$$$$T^{14} +$$$$40\!\cdots\!81$$$$T^{16} -$$$$92\!\cdots\!74$$$$T^{18} +$$$$11\!\cdots\!49$$$$T^{20} )^{2}$$)($$1 + 371 T + 86988 T^{2} + 18792263 T^{3} + 2565726409 T^{4}$$)($$1 - 259 T + 16428 T^{2} - 13119127 T^{3} + 2565726409 T^{4}$$)($$1 - 416 T + 65478 T^{2} - 2609152 T^{3} + 241494107 T^{4} - 132161376256 T^{5} + 167998633808502 T^{6} - 54064083754752032 T^{7} + 6582952005840035281 T^{8}$$)($$1 + 18 T - 2495 T^{2} - 1772766 T^{3} - 2574191220 T^{4} - 89795916198 T^{5} - 6401487390455 T^{6} + 2339311316311386 T^{7} + 6582952005840035281 T^{8}$$)($$1 + 43 T - 31445 T^{2} - 2347900 T^{3} - 659210699 T^{4} + 28210346809 T^{5} + 202602319837646 T^{6} + 1428938696916277 T^{7} - 1691354299519649891 T^{8} -$$$$30\!\cdots\!00$$$$T^{9} -$$$$20\!\cdots\!45$$$$T^{10} +$$$$14\!\cdots\!99$$$$T^{11} +$$$$16\!\cdots\!29$$$$T^{12}$$)($$1 + 3 T - 197874 T^{2} - 9191603 T^{3} + 21726300338 T^{4} + 1331144162729 T^{5} - 1659517612754472 T^{6} - 84598271217222955 T^{7} +$$$$10\!\cdots\!81$$$$T^{8} +$$$$20\!\cdots\!78$$$$T^{9} -$$$$53\!\cdots\!56$$$$T^{10} +$$$$10\!\cdots\!34$$$$T^{11} +$$$$25\!\cdots\!29$$$$T^{12} -$$$$10\!\cdots\!35$$$$T^{13} -$$$$10\!\cdots\!32$$$$T^{14} +$$$$44\!\cdots\!97$$$$T^{15} +$$$$36\!\cdots\!02$$$$T^{16} -$$$$78\!\cdots\!11$$$$T^{17} -$$$$85\!\cdots\!14$$$$T^{18} +$$$$65\!\cdots\!99$$$$T^{19} +$$$$11\!\cdots\!49$$$$T^{20}$$)($$1 - 145 T - 115656 T^{2} + 19216271 T^{3} + 5000432907 T^{4} - 642783651926 T^{5} - 165614030132196 T^{6} - 34861351624072058 T^{7} + 17483682674137096733 T^{8} +$$$$17\!\cdots\!33$$$$T^{9} -$$$$12\!\cdots\!64$$$$T^{10} +$$$$89\!\cdots\!49$$$$T^{11} +$$$$44\!\cdots\!97$$$$T^{12} -$$$$45\!\cdots\!66$$$$T^{13} -$$$$10\!\cdots\!76$$$$T^{14} -$$$$21\!\cdots\!18$$$$T^{15} +$$$$84\!\cdots\!03$$$$T^{16} +$$$$16\!\cdots\!27$$$$T^{17} -$$$$50\!\cdots\!16$$$$T^{18} -$$$$31\!\cdots\!85$$$$T^{19} +$$$$11\!\cdots\!49$$$$T^{20}$$)($$1 + 225 T - 76286 T^{2} - 2361973 T^{3} + 6089794302 T^{4} - 356399592229 T^{5} - 68864532404144 T^{6} + 56856556722394743 T^{7} - 7573070672827671431 T^{8} -$$$$37\!\cdots\!02$$$$T^{9} +$$$$11\!\cdots\!48$$$$T^{10} -$$$$19\!\cdots\!06$$$$T^{11} -$$$$19\!\cdots\!79$$$$T^{12} +$$$$73\!\cdots\!11$$$$T^{13} -$$$$45\!\cdots\!64$$$$T^{14} -$$$$11\!\cdots\!97$$$$T^{15} +$$$$10\!\cdots\!58$$$$T^{16} -$$$$20\!\cdots\!01$$$$T^{17} -$$$$33\!\cdots\!46$$$$T^{18} +$$$$49\!\cdots\!25$$$$T^{19} +$$$$11\!\cdots\!49$$$$T^{20}$$)($$1 + 314 T - 153580 T^{2} - 37685696 T^{3} + 15851672570 T^{4} + 1893779218746 T^{5} - 1251991263332412 T^{6} - 40588811230038022 T^{7} + 68852319702196739521 T^{8} -$$$$27\!\cdots\!74$$$$T^{9} -$$$$29\!\cdots\!40$$$$T^{10} +$$$$40\!\cdots\!54$$$$T^{11} +$$$$11\!\cdots\!38$$$$T^{12} -$$$$21\!\cdots\!88$$$$T^{13} -$$$$32\!\cdots\!36$$$$T^{14} +$$$$44\!\cdots\!06$$$$T^{15} +$$$$77\!\cdots\!04$$$$T^{16} +$$$$22\!\cdots\!18$$$$T^{17} -$$$$82\!\cdots\!24$$$$T^{18} -$$$$28\!\cdots\!76$$$$T^{19} +$$$$74\!\cdots\!78$$$$T^{20} +$$$$13\!\cdots\!22$$$$T^{21} -$$$$49\!\cdots\!60$$$$T^{22} -$$$$23\!\cdots\!38$$$$T^{23} +$$$$29\!\cdots\!81$$$$T^{24} -$$$$89\!\cdots\!26$$$$T^{25} -$$$$13\!\cdots\!88$$$$T^{26} +$$$$10\!\cdots\!62$$$$T^{27} +$$$$45\!\cdots\!70$$$$T^{28} -$$$$54\!\cdots\!08$$$$T^{29} -$$$$11\!\cdots\!20$$$$T^{30} +$$$$11\!\cdots\!98$$$$T^{31} +$$$$18\!\cdots\!21$$$$T^{32}$$)($$1 + 314 T - 153580 T^{2} - 37685696 T^{3} + 15851672570 T^{4} + 1893779218746 T^{5} - 1251991263332412 T^{6} - 40588811230038022 T^{7} + 68852319702196739521 T^{8} -$$$$27\!\cdots\!74$$$$T^{9} -$$$$29\!\cdots\!40$$$$T^{10} +$$$$40\!\cdots\!54$$$$T^{11} +$$$$11\!\cdots\!38$$$$T^{12} -$$$$21\!\cdots\!88$$$$T^{13} -$$$$32\!\cdots\!36$$$$T^{14} +$$$$44\!\cdots\!06$$$$T^{15} +$$$$77\!\cdots\!04$$$$T^{16} +$$$$22\!\cdots\!18$$$$T^{17} -$$$$82\!\cdots\!24$$$$T^{18} -$$$$28\!\cdots\!76$$$$T^{19} +$$$$74\!\cdots\!78$$$$T^{20} +$$$$13\!\cdots\!22$$$$T^{21} -$$$$49\!\cdots\!60$$$$T^{22} -$$$$23\!\cdots\!38$$$$T^{23} +$$$$29\!\cdots\!81$$$$T^{24} -$$$$89\!\cdots\!26$$$$T^{25} -$$$$13\!\cdots\!88$$$$T^{26} +$$$$10\!\cdots\!62$$$$T^{27} +$$$$45\!\cdots\!70$$$$T^{28} -$$$$54\!\cdots\!08$$$$T^{29} -$$$$11\!\cdots\!20$$$$T^{30} +$$$$11\!\cdots\!98$$$$T^{31} +$$$$18\!\cdots\!21$$$$T^{32}$$)
$41$ ($$1 + 18 T + 68921 T^{2}$$)($$1 - 126 T + 68921 T^{2}$$)($$1 + 402 T + 68921 T^{2}$$)($$1 - 282 T + 68921 T^{2}$$)($$1 + 126 T + 68921 T^{2}$$)($$1 - 328 T + 133986 T^{2} - 22606088 T^{3} + 4750104241 T^{4}$$)($$1 + 16 T + 18350 T^{2} + 1102736 T^{3} + 4750104241 T^{4}$$)($$1 - 176 T + 134094 T^{2} - 12130096 T^{3} + 4750104241 T^{4}$$)($$1 - 176 T - 16914 T^{2} - 12130096 T^{3} + 4750104241 T^{4}$$)($$1 + 176 T + 134094 T^{2} + 12130096 T^{3} + 4750104241 T^{4}$$)($$1 + 100 T + 89142 T^{2} + 6892100 T^{3} + 4750104241 T^{4}$$)($$1 + 44 T + 106326 T^{2} + 3032524 T^{3} + 4750104241 T^{4}$$)($$1 + 200 T + 64542 T^{2} + 13784200 T^{3} + 4750104241 T^{4}$$)($$1 + 626 T + 246775 T^{2} + 70209884 T^{3} + 17007979775 T^{4} + 2973565254866 T^{5} + 327381934393961 T^{6}$$)($$1 - 626 T + 246775 T^{2} - 70209884 T^{3} + 17007979775 T^{4} - 2973565254866 T^{5} + 327381934393961 T^{6}$$)($$1 + 362 T + 248299 T^{2} + 51434996 T^{3} + 17113015379 T^{4} + 1719537735242 T^{5} + 327381934393961 T^{6}$$)($$( 1 - 180 T + 276610 T^{2} - 35516340 T^{3} + 41387238640 T^{4} - 4090481602380 T^{5} + 4243853795226046 T^{6} - 347911096164497100 T^{7} +$$$$33\!\cdots\!10$$$$T^{8} -$$$$23\!\cdots\!00$$$$T^{9} +$$$$20\!\cdots\!86$$$$T^{10} -$$$$13\!\cdots\!80$$$$T^{11} +$$$$93\!\cdots\!40$$$$T^{12} -$$$$55\!\cdots\!40$$$$T^{13} +$$$$29\!\cdots\!10$$$$T^{14} -$$$$13\!\cdots\!80$$$$T^{15} +$$$$50\!\cdots\!61$$$$T^{16} )^{2}$$)($$( 1 + 180 T + 276610 T^{2} + 35516340 T^{3} + 41387238640 T^{4} + 4090481602380 T^{5} + 4243853795226046 T^{6} + 347911096164497100 T^{7} +$$$$33\!\cdots\!10$$$$T^{8} +$$$$23\!\cdots\!00$$$$T^{9} +$$$$20\!\cdots\!86$$$$T^{10} +$$$$13\!\cdots\!80$$$$T^{11} +$$$$93\!\cdots\!40$$$$T^{12} +$$$$55\!\cdots\!40$$$$T^{13} +$$$$29\!\cdots\!10$$$$T^{14} +$$$$13\!\cdots\!80$$$$T^{15} +$$$$50\!\cdots\!61$$$$T^{16} )^{2}$$)($$( 1 - 206 T + 68783 T^{2} - 10173252 T^{3} + 4740593143 T^{4} - 978521473646 T^{5} + 327381934393961 T^{6} )^{2}$$)($$( 1 + 802 T + 392457 T^{2} + 146273472 T^{3} + 44792512462 T^{4} + 12012058617212 T^{5} + 3087144751393502 T^{6} + 694814239692994752 T^{7} +$$$$12\!\cdots\!77$$$$T^{8} +$$$$18\!\cdots\!62$$$$T^{9} +$$$$15\!\cdots\!01$$$$T^{10} )^{2}$$)($$( 1 - 426 T + 295309 T^{2} - 96639912 T^{3} + 38701723370 T^{4} - 9383799279644 T^{5} + 2667361476383770 T^{6} - 459049655841066792 T^{7} + 96678831663946228949 T^{8} -$$$$96\!\cdots\!06$$$$T^{9} +$$$$15\!\cdots\!01$$$$T^{10} )^{2}$$)($$( 1 + 466706 T^{2} + 102507764861 T^{4} + 14226052540898904 T^{6} +$$$$14\!\cdots\!26$$$$T^{8} +$$$$10\!\cdots\!20$$$$T^{10} +$$$$67\!\cdots\!66$$$$T^{12} +$$$$32\!\cdots\!24$$$$T^{14} +$$$$10\!\cdots\!81$$$$T^{16} +$$$$23\!\cdots\!66$$$$T^{18} +$$$$24\!\cdots\!01$$$$T^{20} )^{2}$$)($$( 1 + 225 T + 68921 T^{2} )^{2}$$)($$( 1 + 195 T + 68921 T^{2} )^{2}$$)($$( 1 - 106 T + 138851 T^{2} - 7305626 T^{3} + 4750104241 T^{4} )^{2}$$)($$( 1 + 152 T + 113850 T^{2} + 10475992 T^{3} + 4750104241 T^{4} )^{2}$$)($$( 1 - 599 T + 272999 T^{2} - 79436618 T^{3} + 18815364079 T^{4} - 2845312440359 T^{5} + 327381934393961 T^{6} )^{2}$$)($$( 1 - 627 T + 298461 T^{2} - 100221404 T^{3} + 28792732854 T^{4} - 7903095350774 T^{5} + 1984423941030534 T^{6} - 476062116179374364 T^{7} + 97710739521155994021 T^{8} -$$$$14\!\cdots\!87$$$$T^{9} +$$$$15\!\cdots\!01$$$$T^{10} )^{2}$$)($$( 1 - 281 T + 269231 T^{2} - 52376686 T^{3} + 31133332221 T^{4} - 4627148668935 T^{5} + 2145740390003541 T^{6} - 248794718298125326 T^{7} + 88141365578820513991 T^{8} -$$$$63\!\cdots\!61$$$$T^{9} +$$$$15\!\cdots\!01$$$$T^{10} )^{2}$$)($$( 1 + 341 T + 190073 T^{2} + 39759328 T^{3} + 16717012002 T^{4} + 3155754961314 T^{5} + 1152153184189842 T^{6} + 188860952552110048 T^{7} + 62226466416063349153 T^{8} +$$$$76\!\cdots\!21$$$$T^{9} +$$$$15\!\cdots\!01$$$$T^{10} )^{2}$$)($$( 1 + 28 T + 216661 T^{2} + 25231836 T^{3} + 27303884290 T^{4} + 4611558559256 T^{5} + 2574345713378451 T^{6} + 472812221510353088 T^{7} +$$$$19\!\cdots\!22$$$$T^{8} +$$$$32\!\cdots\!48$$$$T^{9} +$$$$12\!\cdots\!91$$$$T^{10} +$$$$15\!\cdots\!16$$$$T^{11} +$$$$61\!\cdots\!90$$$$T^{12} +$$$$39\!\cdots\!36$$$$T^{13} +$$$$23\!\cdots\!81$$$$T^{14} +$$$$20\!\cdots\!48$$$$T^{15} +$$$$50\!\cdots\!61$$$$T^{16} )^{2}$$)($$( 1 - 28 T + 216661 T^{2} - 25231836 T^{3} + 27303884290 T^{4} - 4611558559256 T^{5} + 2574345713378451 T^{6} - 472812221510353088 T^{7} +$$$$19\!\cdots\!22$$$$T^{8} -$$$$32\!\cdots\!48$$$$T^{9} +$$$$12\!\cdots\!91$$$$T^{10} -$$$$15\!\cdots\!16$$$$T^{11} +$$$$61\!\cdots\!90$$$$T^{12} -$$$$39\!\cdots\!36$$$$T^{13} +$$$$23\!\cdots\!81$$$$T^{14} -$$$$20\!\cdots\!48$$$$T^{15} +$$$$50\!\cdots\!61$$$$T^{16} )^{2}$$)
$43$ ($$1 - 340 T + 79507 T^{2}$$)($$1 + 34 T + 79507 T^{2}$$)($$1 + 68 T + 79507 T^{2}$$)($$1 - 20 T + 79507 T^{2}$$)($$1 + 34 T + 79507 T^{2}$$)($$1 + 260 T + 166666 T^{2} + 20671820 T^{3} + 6321363049 T^{4}$$)($$1 + 396 T + 95718 T^{2} + 31484772 T^{3} + 6321363049 T^{4}$$)($$1 - 46 T + 42430 T^{2} - 3657322 T^{3} + 6321363049 T^{4}$$)($$1 + 344 T + 171958 T^{2} + 27350408 T^{3} + 6321363049 T^{4}$$)($$1 - 46 T + 42430 T^{2} - 3657322 T^{3} + 6321363049 T^{4}$$)($$1 + 536 T + 200086 T^{2} + 42615752 T^{3} + 6321363049 T^{4}$$)($$1 - 136 T + 81718 T^{2} - 10812952 T^{3} + 6321363049 T^{4}$$)($$1 - 364 T + 172486 T^{2} - 28940548 T^{3} + 6321363049 T^{4}$$)($$1 + 68 T + 56521 T^{2} + 70488 T^{3} + 4493815147 T^{4} + 429852687332 T^{5} + 502592611936843 T^{6}$$)($$1 + 68 T + 56521 T^{2} + 70488 T^{3} + 4493815147 T^{4} + 429852687332 T^{5} + 502592611936843 T^{6}$$)($$1 + 16 T + 149005 T^{2} + 1019664 T^{3} + 11846940535 T^{4} + 101141808784 T^{5} + 502592611936843 T^{6}$$)($$( 1 - 212 T + 466110 T^{2} - 84630828 T^{3} + 99092766696 T^{4} - 15642238076700 T^{5} + 13038177559491410 T^{6} - 1797655117209110212 T^{7} +$$$$12\!\cdots\!90$$$$T^{8} -$$$$14\!\cdots\!84$$$$T^{9} +$$$$82\!\cdots\!90$$$$T^{10} -$$$$78\!\cdots\!00$$$$T^{11} +$$$$39\!\cdots\!96$$$$T^{12} -$$$$26\!\cdots\!96$$$$T^{13} +$$$$11\!\cdots\!90$$$$T^{14} -$$$$42\!\cdots\!16$$$$T^{15} +$$$$15\!\cdots\!01$$$$T^{16} )^{2}$$)($$( 1 - 212 T + 466110 T^{2} - 84630828 T^{3} + 99092766696 T^{4} - 15642238076700 T^{5} + 13038177559491410 T^{6} - 1797655117209110212 T^{7} +$$$$12\!\cdots\!90$$$$T^{8} -$$$$14\!\cdots\!84$$$$T^{9} +$$$$82\!\cdots\!90$$$$T^{10} -$$$$78\!\cdots\!00$$$$T^{11} +$$$$39\!\cdots\!96$$$$T^{12} -$$$$26\!\cdots\!96$$$$T^{13} +$$$$11\!\cdots\!90$$$$T^{14} -$$$$42\!\cdots\!16$$$$T^{15} +$$$$15\!\cdots\!01$$$$T^{16} )^{2}$$)($$1 - 142146 T^{2} + 11474416359 T^{4} - 844942679855548 T^{6} + 72533951580623718591 T^{8} -$$$$56\!\cdots\!46$$$$T^{10} +$$$$25\!\cdots\!49$$$$T^{12}$$)($$1 - 485758 T^{2} + 119488561781 T^{4} - 19372440245362728 T^{6} +$$$$22\!\cdots\!22$$$$T^{8} -$$$$20\!\cdots\!28$$$$T^{10} +$$$$14\!\cdots\!78$$$$T^{12} -$$$$77\!\cdots\!28$$$$T^{14} +$$$$30\!\cdots\!69$$$$T^{16} -$$$$77\!\cdots\!58$$$$T^{18} +$$$$10\!\cdots\!49$$$$T^{20}$$)($$1 - 571726 T^{2} + 155217037109 T^{4} - 26607197126991720 T^{6} +$$$$32\!\cdots\!58$$$$T^{8} -$$$$29\!\cdots\!88$$$$T^{10} +$$$$20\!\cdots\!42$$$$T^{12} -$$$$10\!\cdots\!20$$$$T^{14} +$$$$39\!\cdots\!41$$$$T^{16} -$$$$91\!\cdots\!26$$$$T^{18} +$$$$10\!\cdots\!49$$$$T^{20}$$)($$( 1 - 292042 T^{2} + 51890215253 T^{4} - 6976073341440120 T^{6} +$$$$74\!\cdots\!86$$$$T^{8} -$$$$65\!\cdots\!76$$$$T^{10} +$$$$47\!\cdots\!14$$$$T^{12} -$$$$27\!\cdots\!20$$$$T^{14} +$$$$13\!\cdots\!97$$$$T^{16} -$$$$46\!\cdots\!42$$$$T^{18} +$$$$10\!\cdots\!49$$$$T^{20} )^{2}$$)($$( 1 - 344 T + 79507 T^{2} )^{2}$$)($$( 1 + 286 T + 79507 T^{2} )^{2}$$)($$( 1 + 666 T + 269853 T^{2} + 52951662 T^{3} + 6321363049 T^{4} )^{2}$$)($$( 1 + 842 T + 333367 T^{2} + 66944894 T^{3} + 6321363049 T^{4} )^{2}$$)($$( 1 - 170 T + 62886 T^{2} - 25979064 T^{3} + 4999877202 T^{4} - 1074631718330 T^{5} + 502592611936843 T^{6} )^{2}$$)($$( 1 - 108 T + 178357 T^{2} - 39070996 T^{3} + 22552051325 T^{4} - 3630162418200 T^{5} + 1793045944696775 T^{6} - 246981950402026804 T^{7} + 89640910487219506951 T^{8} -$$$$43\!\cdots\!08$$$$T^{9} +$$$$31\!\cdots\!07$$$$T^{10} )^{2}$$)($$( 1 - 568 T + 328987 T^{2} - 103968566 T^{3} + 38129237297 T^{4} - 9424317397102 T^{5} + 3031541269772579 T^{6} - 657223051369917734 T^{7} +$$$$16\!\cdots\!41$$$$T^{8} -$$$$22\!\cdots\!68$$$$T^{9} +$$$$31\!\cdots\!07$$$$T^{10} )^{2}$$)($$( 1 - 32 T + 218617 T^{2} + 27320644 T^{3} + 18062796109 T^{4} + 4794346174172 T^{5} + 1436118730238263 T^{6} + 172703709456483556 T^{7} +$$$$10\!\cdots\!31$$$$T^{8} -$$$$12\!\cdots\!32$$$$T^{9} +$$$$31\!\cdots\!07$$$$T^{10} )^{2}$$)($$( 1 - 714 T + 617563 T^{2} - 317019278 T^{3} + 164812325837 T^{4} - 65914085981044 T^{5} + 25399861381117246 T^{6} - 8175469410236856396 T^{7} +$$$$24\!\cdots\!34$$$$T^{8} -$$$$65\!\cdots\!72$$$$T^{9} +$$$$16\!\cdots\!54$$$$T^{10} -$$$$33\!\cdots\!92$$$$T^{11} +$$$$65\!\cdots\!37$$$$T^{12} -$$$$10\!\cdots\!46$$$$T^{13} +$$$$15\!\cdots\!87$$$$T^{14} -$$$$14\!\cdots\!02$$$$T^{15} +$$$$15\!\cdots\!01$$$$T^{16} )^{2}$$)($$( 1 - 714 T + 617563 T^{2} - 317019278 T^{3} + 164812325837 T^{4} - 65914085981044 T^{5} + 25399861381117246 T^{6} - 8175469410236856396 T^{7} +$$$$24\!\cdots\!34$$$$T^{8} -$$$$65\!\cdots\!72$$$$T^{9} +$$$$16\!\cdots\!54$$$$T^{10} -$$$$33\!\cdots\!92$$$$T^{11} +$$$$65\!\cdots\!37$$$$T^{12} -$$$$10\!\cdots\!46$$$$T^{13} +$$$$15\!\cdots\!87$$$$T^{14} -$$$$14\!\cdots\!02$$$$T^{15} +$$$$15\!\cdots\!01$$$$T^{16} )^{2}$$)
$47$ ($$1 + 208 T + 103823 T^{2}$$)($$1 - 6 T + 103823 T^{2}$$)($$1 + 536 T + 103823 T^{2}$$)($$1 - 72 T + 103823 T^{2}$$)($$1 + 6 T + 103823 T^{2}$$)($$1 - 350 T + 203423 T^{2} - 36338050 T^{3} + 10779215329 T^{4}$$)($$1 - 188 T + 15582 T^{2} - 19518724 T^{3} + 10779215329 T^{4}$$)($$1 - 514 T + 269870 T^{2} - 53365022 T^{3} + 10779215329 T^{4}$$)($$1 + 560 T + 248606 T^{2} + 58140880 T^{3} + 10779215329 T^{4}$$)($$1 + 514 T + 269870 T^{2} + 53365022 T^{3} + 10779215329 T^{4}$$)($$1 - 928 T + 408830 T^{2} - 96347744 T^{3} + 10779215329 T^{4}$$)($$1 + 400 T + 106526 T^{2} + 41529200 T^{3} + 10779215329 T^{4}$$)($$1 + 292 T + 179390 T^{2} + 30316316 T^{3} + 10779215329 T^{4}$$)($$1 + 936 T + 600637 T^{2} + 223876784 T^{3} + 62359935251 T^{4} + 10089345547944 T^{5} + 1119130473102767 T^{6}$$)($$1 - 936 T + 600637 T^{2} - 223876784 T^{3} + 62359935251 T^{4} - 10089345547944 T^{5} + 1119130473102767 T^{6}$$)($$1 - 730 T + 427526 T^{2} - 156550492 T^{3} + 44387031898 T^{4} - 7868827190170 T^{5} + 1119130473102767 T^{6}$$)($$( 1 + 444 T + 457114 T^{2} + 119571060 T^{3} + 84225822856 T^{4} + 12580392377076 T^{5} + 9628880584922470 T^{6} + 746459830846830780 T^{7} +$$$$97\!\cdots\!66$$$$T^{8} +$$$$77\!\cdots\!40$$$$T^{9} +$$$$10\!\cdots\!30$$$$T^{10} +$$$$14\!\cdots\!92$$$$T^{11} +$$$$97\!\cdots\!96$$$$T^{12} +$$$$14\!\cdots\!80$$$$T^{13} +$$$$57\!\cdots\!46$$$$T^{14} +$$$$57\!\cdots\!68$$$$T^{15} +$$$$13\!\cdots\!81$$$$T^{16} )^{2}$$)($$( 1 - 444 T + 457114 T^{2} - 119571060 T^{3} + 84225822856 T^{4} - 12580392377076 T^{5} + 9628880584922470 T^{6} - 746459830846830780 T^{7} +$$$$97\!\cdots\!66$$$$T^{8} -$$$$77\!\cdots\!40$$$$T^{9} +$$$$10\!\cdots\!30$$$$T^{10} -$$$$14\!\cdots\!92$$$$T^{11} +$$$$97\!\cdots\!96$$$$T^{12} -$$$$14\!\cdots\!80$$$$T^{13} +$$$$57\!\cdots\!46$$$$T^{14} -$$$$57\!\cdots\!68$$$$T^{15} +$$$$13\!\cdots\!81$$$$T^{16} )^{2}$$)($$1 - 167706 T^{2} + 23309138223 T^{4} - 3026280208385068 T^{6} +$$$$25\!\cdots\!67$$$$T^{8} -$$$$19\!\cdots\!46$$$$T^{10} +$$$$12\!\cdots\!89$$$$T^{12}$$)($$1 - 502182 T^{2} + 138597263629 T^{4} - 26712508734207432 T^{6} +$$$$39\!\cdots\!54$$$$T^{8} -$$$$45\!\cdots\!76$$$$T^{10} +$$$$42\!\cdots\!66$$$$T^{12} -$$$$31\!\cdots\!12$$$$T^{14} +$$$$17\!\cdots\!81$$$$T^{16} -$$$$67\!\cdots\!42$$$$T^{18} +$$$$14\!\cdots\!49$$$$T^{20}$$)($$1 - 790788 T^{2} + 293544900286 T^{4} - 68085993582616986 T^{6} +$$$$11\!\cdots\!37$$$$T^{8} -$$$$13\!\cdots\!72$$$$T^{10} +$$$$11\!\cdots\!73$$$$T^{12} -$$$$79\!\cdots\!26$$$$T^{14} +$$$$36\!\cdots\!54$$$$T^{16} -$$$$10\!\cdots\!28$$$$T^{18} +$$$$14\!\cdots\!49$$$$T^{20}$$)($$( 1 - 717762 T^{2} + 254475765997 T^{4} - 57993564064171608 T^{6} +$$$$93\!\cdots\!18$$$$T^{8} -$$$$11\!\cdots\!40$$$$T^{10} +$$$$10\!\cdots\!22$$$$T^{12} -$$$$67\!\cdots\!28$$$$T^{14} +$$$$31\!\cdots\!33$$$$T^{16} -$$$$96\!\cdots\!22$$$$T^{18} +$$$$14\!\cdots\!49$$$$T^{20} )^{2}$$)($$1 - 375 T + 36802 T^{2} - 38933625 T^{3} + 10779215329 T^{4}$$)($$1 - 45 T - 101798 T^{2} - 4672035 T^{3} + 10779215329 T^{4}$$)($$1 + 196 T - 170642 T^{2} + 276752 T^{3} + 28937567667 T^{4} + 28733222896 T^{5} - 1839386862171218 T^{6} + 219349572728142332 T^{7} +$$$$11\!\cdots\!41$$$$T^{8}$$)($$1 + 212 T - 145138 T^{2} - 3723568 T^{3} + 20685730483 T^{4} - 386592000464 T^{5} - 1564473754420402 T^{6} + 237255660297786604 T^{7} +$$$$11\!\cdots\!41$$$$T^{8}$$)($$1 + 3 T - 72204 T^{2} - 62541997 T^{3} - 2376790884 T^{4} + 2253348114927 T^{5} + 2681417930011010 T^{6} + 233949361336065921 T^{7} - 25619940730640260836 T^{8} -$$$$69\!\cdots\!99$$$$T^{9} -$$$$83\!\cdots\!64$$$$T^{10} +$$$$36\!\cdots\!29$$$$T^{11} +$$$$12\!\cdots\!89$$$$T^{12}$$)($$1 + 553 T - 156682 T^{2} - 109233557 T^{3} + 28024627643 T^{4} + 16290620541022 T^{5} - 2638343597881880 T^{6} - 1559174107875594658 T^{7} + 79078601331925068813 T^{8} +$$$$43\!\cdots\!55$$$$T^{9} -$$$$90\!\cdots\!10$$$$T^{10} +$$$$45\!\cdots\!65$$$$T^{11} +$$$$85\!\cdots\!77$$$$T^{12} -$$$$17\!\cdots\!86$$$$T^{13} -$$$$30\!\cdots\!80$$$$T^{14} +$$$$19\!\cdots\!46$$$$T^{15} +$$$$35\!\cdots\!27$$$$T^{16} -$$$$14\!\cdots\!79$$$$T^{17} -$$$$21\!\cdots\!42$$$$T^{18} +$$$$77\!\cdots\!39$$$$T^{19} +$$$$14\!\cdots\!49$$$$T^{20}$$)($$1 + 473 T - 199186 T^{2} - 58080717 T^{3} + 49165993755 T^{4} + 5867004935190 T^{5} - 5795165507082528 T^{6} - 101648572991175666 T^{7} +$$$$44\!\cdots\!01$$$$T^{8} -$$$$23\!\cdots\!89$$$$T^{9} -$$$$43\!\cdots\!94$$$$T^{10} -$$$$24\!\cdots\!47$$$$T^{11} +$$$$48\!\cdots\!29$$$$T^{12} -$$$$11\!\cdots\!22$$$$T^{13} -$$$$67\!\cdots\!48$$$$T^{14} +$$$$70\!\cdots\!70$$$$T^{15} +$$$$61\!\cdots\!95$$$$T^{16} -$$$$75\!\cdots\!99$$$$T^{17} -$$$$26\!\cdots\!66$$$$T^{18} +$$$$66\!\cdots\!99$$$$T^{19} +$$$$14\!\cdots\!49$$$$T^{20}$$)($$1 - 25 T - 227610 T^{2} + 73101461 T^{3} + 24026193611 T^{4} - 14842831799166 T^{5} + 815012071632728 T^{6} + 1726119131867110546 T^{7} -$$$$42\!\cdots\!67$$$$T^{8} -$$$$71\!\cdots\!07$$$$T^{9} +$$$$63\!\cdots\!74$$$$T^{10} -$$$$73\!\cdots\!61$$$$T^{11} -$$$$45\!\cdots\!43$$$$T^{12} +$$$$19\!\cdots\!82$$$$T^{13} +$$$$94\!\cdots\!48$$$$T^{14} -$$$$17\!\cdots\!38$$$$T^{15} +$$$$30\!\cdots\!79$$$$T^{16} +$$$$95\!\cdots\!67$$$$T^{17} -$$$$30\!\cdots\!10$$$$T^{18} -$$$$35\!\cdots\!75$$$$T^{19} +$$$$14\!\cdots\!49$$$$T^{20}$$)($$1 + 326 T - 402721 T^{2} - 88170038 T^{3} + 100696085811 T^{4} + 10301337130260 T^{5} - 16467967856580788 T^{6} + 630637904945126904 T^{7} +$$$$19\!\cdots\!23$$$$T^{8} -$$$$38\!\cdots\!82$$$$T^{9} -$$$$14\!\cdots\!25$$$$T^{10} +$$$$68\!\cdots\!18$$$$T^{11} +$$$$22\!\cdots\!54$$$$T^{12} -$$$$67\!\cdots\!82$$$$T^{13} +$$$$11\!\cdots\!59$$$$T^{14} +$$$$29\!\cdots\!50$$$$T^{15} -$$$$17\!\cdots\!84$$$$T^{16} +$$$$30\!\cdots\!50$$$$T^{17} +$$$$12\!\cdots\!11$$$$T^{18} -$$$$75\!\cdots\!94$$$$T^{19} +$$$$25\!\cdots\!14$$$$T^{20} +$$$$82\!\cdots\!74$$$$T^{21} -$$$$17\!\cdots\!25$$$$T^{22} -$$$$50\!\cdots\!54$$$$T^{23} +$$$$26\!\cdots\!63$$$$T^{24} +$$$$88\!\cdots\!52$$$$T^{25} -$$$$23\!\cdots\!12$$$$T^{26} +$$$$15\!\cdots\!20$$$$T^{27} +$$$$15\!\cdots\!31$$$$T^{28} -$$$$14\!\cdots\!54$$$$T^{29} -$$$$68\!\cdots\!89$$$$T^{30} +$$$$57\!\cdots\!82$$$$T^{31} +$$$$18\!\cdots\!61$$$$T^{32}$$)($$1 - 326 T - 402721 T^{2} + 88170038 T^{3} + 100696085811 T^{4} - 10301337130260 T^{5} - 16467967856580788 T^{6} - 630637904945126904 T^{7} +$$$$19\!\cdots\!23$$$$T^{8} +$$$$38\!\cdots\!82$$$$T^{9} -$$$$14\!\cdots\!25$$$$T^{10} -$$$$68\!\cdots\!18$$$$T^{11} +$$$$22\!\cdots\!54$$$$T^{12} +$$$$67\!\cdots\!82$$$$T^{13} +$$$$11\!\cdots\!59$$$$T^{14} -$$$$29\!\cdots\!50$$$$T^{15} -$$$$17\!\cdots\!84$$$$T^{16} -$$$$30\!\cdots\!50$$$$T^{17} +$$$$12\!\cdots\!11$$$$T^{18} +$$$$75\!\cdots\!94$$$$T^{19} +$$$$25\!\cdots\!14$$$$T^{20} -$$$$82\!\cdots\!74$$$$T^{21} -$$$$17\!\cdots\!25$$$$T^{22} +$$$$50\!\cdots\!54$$$$T^{23} +$$$$26\!\cdots\!63$$$$T^{24} -$$$$88\!\cdots\!52$$$$T^{25} -$$$$23\!\cdots\!12$$$$T^{26} -$$$$15\!\cdots\!20$$$$T^{27} +$$$$15\!\cdots\!31$$$$T^{28} +$$$$14\!\cdots\!54$$$$T^{29} -$$$$68\!\cdots\!89$$$$T^{30} -$$$$57\!\cdots\!82$$$$T^{31} +$$$$18\!\cdots\!61$$$$T^{32}$$)
$53$ ($$1 - 754 T + 148877 T^{2}$$)($$1 + 582 T + 148877 T^{2}$$)($$1 + 22 T + 148877 T^{2}$$)($$1 + 336 T + 148877 T^{2}$$)($$1 - 582 T + 148877 T^{2}$$)($$1 - 56 T + 265770 T^{2} - 8337112 T^{3} + 22164361129 T^{4}$$)($$1 + 982 T + 504354 T^{2} + 146197214 T^{3} + 22164361129 T^{4}$$)($$1 - 808 T + 449478 T^{2} - 120292616 T^{3} + 22164361129 T^{4}$$)($$1 + 326 T + 204138 T^{2} + 48533902 T^{3} + 22164361129 T^{4}$$)($$1 + 808 T + 449478 T^{2} + 120292616 T^{3} + 22164361129 T^{4}$$)($$1 + 884 T + 460350 T^{2} + 131607268 T^{3} + 22164361129 T^{4}$$)($$1 + 16 T + 260838 T^{2} + 2382032 T^{3} + 22164361129 T^{4}$$)($$1 + 34 T + 103410 T^{2} + 5061818 T^{3} + 22164361129 T^{4}$$)($$1 + 298 T + 380319 T^{2} + 69347636 T^{3} + 56620751763 T^{4} + 6604979616442 T^{5} + 3299763591802133 T^{6}$$)($$1 - 298 T + 380319 T^{2} - 69347636 T^{3} + 56620751763 T^{4} - 6604979616442 T^{5} + 3299763591802133 T^{6}$$)($$1 + 110 T + 105959 T^{2} - 57565396 T^{3} + 15774858043 T^{4} + 2438079724190 T^{5} + 3299763591802133 T^{6}$$)($$1 - 1464104 T^{2} + 1065050610480 T^{4} - 513630593147820120 T^{6} +$$$$18\!\cdots\!88$$$$T^{8} -$$$$52\!\cdots\!04$$$$T^{10} +$$$$12\!\cdots\!12$$$$T^{12} -$$$$23\!\cdots\!40$$$$T^{14} +$$$$37\!\cdots\!58$$$$T^{16} -$$$$51\!\cdots\!60$$$$T^{18} +$$$$59\!\cdots\!92$$$$T^{20} -$$$$56\!\cdots\!56$$$$T^{22} +$$$$44\!\cdots\!28$$$$T^{24} -$$$$27\!\cdots\!80$$$$T^{26} +$$$$12\!\cdots\!80$$$$T^{28} -$$$$38\!\cdots\!36$$$$T^{30} +$$$$58\!\cdots\!61$$$$T^{32}$$)($$1 - 1464104 T^{2} + 1065050610480 T^{4} - 513630593147820120 T^{6} +$$$$18\!\cdots\!88$$$$T^{8} -$$$$52\!\cdots\!04$$$$T^{10} +$$$$12\!\cdots\!12$$$$T^{12} -$$$$23\!\cdots\!40$$$$T^{14} +$$$$37\!\cdots\!58$$$$T^{16} -$$$$51\!\cdots\!60$$$$T^{18} +$$$$59\!\cdots\!92$$$$T^{20} -$$$$56\!\cdots\!56$$$$T^{22} +$$$$44\!\cdots\!28$$$$T^{24} -$$$$27\!\cdots\!80$$$$T^{26} +$$$$12\!\cdots\!80$$$$T^{28} -$$$$38\!\cdots\!36$$$$T^{30} +$$$$58\!\cdots\!61$$$$T^{32}$$)($$1 - 466338 T^{2} + 138876104679 T^{4} - 24411867787298428 T^{6} +$$$$30\!\cdots\!91$$$$T^{8} -$$$$22\!\cdots\!58$$$$T^{10} +$$$$10\!\cdots\!89$$$$T^{12}$$)($$1 - 997006 T^{2} + 484698335029 T^{4} - 151727963326781416 T^{6} +$$$$34\!\cdots\!38$$$$T^{8} -$$$$57\!\cdots\!36$$$$T^{10} +$$$$75\!\cdots\!02$$$$T^{12} -$$$$74\!\cdots\!56$$$$T^{14} +$$$$52\!\cdots\!81$$$$T^{16} -$$$$24\!\cdots\!86$$$$T^{18} +$$$$53\!\cdots\!49$$$$T^{20}$$)($$1 - 972802 T^{2} + 426448129813 T^{4} - 113796393195924760 T^{6} +$$$$21\!\cdots\!46$$$$T^{8} -$$$$34\!\cdots\!56$$$$T^{10} +$$$$48\!\cdots\!34$$$$T^{12} -$$$$55\!\cdots\!60$$$$T^{14} +$$$$46\!\cdots\!57$$$$T^{16} -$$$$23\!\cdots\!62$$$$T^{18} +$$$$53\!\cdots\!49$$$$T^{20}$$)($$( 1 - 597106 T^{2} + 204912918565 T^{4} - 53127026052495736 T^{6} +$$$$10\!\cdots\!42$$$$T^{8} -$$$$17\!\cdots\!16$$$$T^{10} +$$$$23\!\cdots\!18$$$$T^{12} -$$$$26\!\cdots\!76$$$$T^{14} +$$$$22\!\cdots\!85$$$$T^{16} -$$$$14\!\cdots\!86$$$$T^{18} +$$$$53\!\cdots\!49$$$$T^{20} )^{2}$$)($$1 + 663 T + 290692 T^{2} + 98705451 T^{3} + 22164361129 T^{4}$$)($$1 - 597 T + 207532 T^{2} - 88879569 T^{3} + 22164361129 T^{4}$$)($$1 + 952 T + 422302 T^{2} + 177308096 T^{3} + 77165754267 T^{4} + 26397097408192 T^{5} + 9360054033498958 T^{6} + 3141374939395630616 T^{7} +$$$$49\!\cdots\!41$$$$T^{8}$$)($$1 + 368 T - 189914 T^{2} + 10150912 T^{3} + 63518934267 T^{4} + 1511237325824 T^{5} - 4209322479452906 T^{6} + 1214313001783184944 T^{7} +$$$$49\!\cdots\!41$$$$T^{8}$$)($$1 - 331 T - 333110 T^{2} + 50610775 T^{3} + 97428261796 T^{4} - 7341212711443 T^{5} - 15286864287523616 T^{6} - 1092937724841499511 T^{7} +$$$$21\!\cdots\!84$$$$T^{8} +$$$$16\!\cdots\!75$$$$T^{9} -$$$$16\!\cdots\!10$$$$T^{10} -$$$$24\!\cdots\!67$$$$T^{11} +$$$$10\!\cdots\!89$$$$T^{12}$$)($$1 + 1135 T + 344368 T^{2} - 107494169 T^{3} - 79422582717 T^{4} - 1522579460342 T^{5} + 9430009439322196 T^{6} + 3330261248690177614 T^{7} +$$$$61\!\cdots\!73$$$$T^{8} -$$$$99\!\cdots\!43$$$$T^{9} -$$$$11\!\cdots\!60$$$$T^{10} -$$$$14\!\cdots\!11$$$$T^{11} +$$$$13\!\cdots\!17$$$$T^{12} +$$$$10\!\cdots\!62$$$$T^{13} +$$$$46\!\cdots\!36$$$$T^{14} -$$$$11\!\cdots\!94$$$$T^{15} -$$$$86\!\cdots\!13$$$$T^{16} -$$$$17\!\cdots\!57$$$$T^{17} +$$$$83\!\cdots\!08$$$$T^{18} +$$$$40\!\cdots\!95$$$$T^{19} +$$$$53\!\cdots\!49$$$$T^{20}$$)($$1 - 351 T - 584980 T^{2} + 134936885 T^{3} + 229763822323 T^{4} - 33792782771134 T^{5} - 61716154410935792 T^{6} + 4669968185983210370 T^{7} +$$$$12\!\cdots\!13$$$$T^{8} -$$$$30\!\cdots\!53$$$$T^{9} -$$$$21\!\cdots\!12$$$$T^{10} -$$$$44\!\cdots\!81$$$$T^{11} +$$$$28\!\cdots\!77$$$$T^{12} +$$$$15\!\cdots\!10$$$$T^{13} -$$$$30\!\cdots\!72$$$$T^{14} -$$$$24\!\cdots\!38$$$$T^{15} +$$$$25\!\cdots\!47$$$$T^{16} +$$$$21\!\cdots\!05$$$$T^{17} -$$$$14\!\cdots\!80$$$$T^{18} -$$$$12\!\cdots\!87$$$$T^{19} +$$$$53\!\cdots\!49$$$$T^{20}$$)($$1 + 317 T + 36608 T^{2} - 65490883 T^{3} - 43515633637 T^{4} - 7415247471298 T^{5} + 6175303105639036 T^{6} + 2555693600931772834 T^{7} +$$$$73\!\cdots\!25$$$$T^{8} -$$$$23\!\cdots\!61$$$$T^{9} -$$$$17\!\cdots\!72$$$$T^{10} -$$$$34\!\cdots\!97$$$$T^{11} +$$$$16\!\cdots\!25$$$$T^{12} +$$$$84\!\cdots\!22$$$$T^{13} +$$$$30\!\cdots\!76$$$$T^{14} -$$$$54\!\cdots\!86$$$$T^{15} -$$$$47\!\cdots\!93$$$$T^{16} -$$$$10\!\cdots\!99$$$$T^{17} +$$$$88\!\cdots\!48$$$$T^{18} +$$$$11\!\cdots\!29$$$$T^{19} +$$$$53\!\cdots\!49$$$$T^{20}$$)($$1 + 1282 T + 378103 T^{2} - 197424018 T^{3} - 119433139717 T^{4} + 19738212466736 T^{5} + 28498816974903052 T^{6} + 4883135532807721468 T^{7} -$$$$32\!\cdots\!49$$$$T^{8} -$$$$17\!\cdots\!26$$$$T^{9} +$$$$28\!\cdots\!55$$$$T^{10} +$$$$47\!\cdots\!78$$$$T^{11} +$$$$76\!\cdots\!30$$$$T^{12} -$$$$56\!\cdots\!22$$$$T^{13} -$$$$20\!\cdots\!85$$$$T^{14} +$$$$43\!\cdots\!14$$$$T^{15} +$$$$43\!\cdots\!40$$$$T^{16} +$$$$64\!\cdots\!78$$$$T^{17} -$$$$45\!\cdots\!65$$$$T^{18} -$$$$18\!\cdots\!26$$$$T^{19} +$$$$37\!\cdots\!30$$$$T^{20} +$$$$34\!\cdots\!46$$$$T^{21} +$$$$31\!\cdots\!95$$$$T^{22} -$$$$27\!\cdots\!78$$$$T^{23} -$$$$77\!\cdots\!69$$$$T^{24} +$$$$17\!\cdots\!16$$$$T^{25} +$$$$15\!\cdots\!48$$$$T^{26} +$$$$15\!\cdots\!28$$$$T^{27} -$$$$14\!\cdots\!57$$$$T^{28} -$$$$34\!\cdots\!06$$$$T^{29} +$$$$99\!\cdots\!27$$$$T^{30} +$$$$50\!\cdots\!26$$$$T^{31} +$$$$58\!\cdots\!61$$$$T^{32}$$)($$1 - 1282 T + 378103 T^{2} + 197424018 T^{3} - 119433139717 T^{4} - 19738212466736 T^{5} + 28498816974903052 T^{6} - 4883135532807721468 T^{7} -$$$$32\!\cdots\!49$$$$T^{8} +$$$$17\!\cdots\!26$$$$T^{9} +$$$$28\!\cdots\!55$$$$T^{10} -$$$$47\!\cdots\!78$$$$T^{11} +$$$$76\!\cdots\!30$$$$T^{12} +$$$$56\!\cdots\!22$$$$T^{13} -$$$$20\!\cdots\!85$$$$T^{14} -$$$$43\!\cdots\!14$$$$T^{15} +$$$$43\!\cdots\!40$$$$T^{16} -$$$$64\!\cdots\!78$$$$T^{17} -$$$$45\!\cdots\!65$$$$T^{18} +$$$$18\!\cdots\!26$$$$T^{19} +$$$$37\!\cdots\!30$$$$T^{20} -$$$$34\!\cdots\!46$$$$T^{21} +$$$$31\!\cdots\!95$$$$T^{22} +$$$$27\!\cdots\!78$$$$T^{23} -$$$$77\!\cdots\!69$$$$T^{24} -$$$$17\!\cdots\!16$$$$T^{25} +$$$$15\!\cdots\!48$$$$T^{26} -$$$$15\!\cdots\!28$$$$T^{27} -$$$$14\!\cdots\!57$$$$T^{28} +$$$$34\!\cdots\!06$$$$T^{29} +$$$$99\!\cdots\!27$$$$T^{30} -$$$$50\!\cdots\!26$$$$T^{31} +$$$$58\!\cdots\!61$$$$T^{32}$$)
$59$ ($$1 + 380 T + 205379 T^{2}$$)($$1 + 492 T + 205379 T^{2}$$)($$1 - 560 T + 205379 T^{2}$$)($$1 - 360 T + 205379 T^{2}$$)($$1 - 492 T + 205379 T^{2}$$)($$( 1 - 616 T + 205379 T^{2} )^{2}$$)($$1 + 516 T + 418118 T^{2} + 105975564 T^{3} + 42180533641 T^{4}$$)($$( 1 - 284 T + 205379 T^{2} )^{2}$$)($$1 - 844 T + 474182 T^{2} - 173339876 T^{3} + 42180533641 T^{4}$$)($$( 1 + 284 T + 205379 T^{2} )^{2}$$)($$1 + 104 T + 80534 T^{2} + 21359416 T^{3} + 42180533641 T^{4}$$)($$1 - 464 T + 458102 T^{2} - 95295856 T^{3} + 42180533641 T^{4}$$)($$1 + 364 T + 438374 T^{2} + 74757956 T^{3} + 42180533641 T^{4}$$)($$1 + 428 T + 132409 T^{2} - 53779640 T^{3} + 27194028011 T^{4} + 18053268398348 T^{5} + 8662995818654939 T^{6}$$)($$1 - 428 T + 132409 T^{2} + 53779640 T^{3} + 27194028011 T^{4} - 18053268398348 T^{5} + 8662995818654939 T^{6}$$)($$1 - 180 T + 3577 T^{2} + 128522760 T^{3} + 734640683 T^{4} - 7592496055380 T^{5} + 8662995818654939 T^{6}$$)($$( 1 - 552 T + 471022 T^{2} - 157017408 T^{3} + 90053919952 T^{4} - 28548501265872 T^{5} + 13016919864477538 T^{6} - 2911032787713300120 T^{7} +$$$$98\!\cdots\!94$$$$T^{8} -$$$$59\!\cdots\!80$$$$T^{9} +$$$$54\!\cdots\!58$$$$T^{10} -$$$$24\!\cdots\!08$$$$T^{11} +$$$$16\!\cdots\!12$$$$T^{12} -$$$$57\!\cdots\!92$$$$T^{13} +$$$$35\!\cdots\!62$$$$T^{14} -$$$$85\!\cdots\!68$$$$T^{15} +$$$$31\!\cdots\!61$$$$T^{16} )^{2}$$)($$( 1 + 552 T + 471022 T^{2} + 157017408 T^{3} + 90053919952 T^{4} + 28548501265872 T^{5} + 13016919864477538 T^{6} + 2911032787713300120 T^{7} +$$$$98\!\cdots\!94$$$$T^{8} +$$$$59\!\cdots\!80$$$$T^{9} +$$$$54\!\cdots\!58$$$$T^{10} +$$$$24\!\cdots\!08$$$$T^{11} +$$$$16\!\cdots\!12$$$$T^{12} +$$$$57\!\cdots\!92$$$$T^{13} +$$$$35\!\cdots\!62$$$$T^{14} +$$$$85\!\cdots\!68$$$$T^{15} +$$$$31\!\cdots\!61$$$$T^{16} )^{2}$$)($$( 1 + 880 T + 706697 T^{2} + 338588064 T^{3} + 145140723163 T^{4} + 37118869604080 T^{5} + 8662995818654939 T^{6} )^{2}$$)($$( 1 - 704 T + 427487 T^{2} - 197865856 T^{3} + 99740405354 T^{4} - 55609053370240 T^{5} + 20484584711199166 T^{6} - 8346087395413261696 T^{7} +$$$$37\!\cdots\!93$$$$T^{8} -$$$$12\!\cdots\!24$$$$T^{9} +$$$$36\!\cdots\!99$$$$T^{10} )^{2}$$)($$( 1 + 432 T + 700701 T^{2} + 268108032 T^{3} + 242314293152 T^{4} + 78692992197632 T^{5} + 49766267213264608 T^{6} + 11308939863198304512 T^{7} +$$$$60\!\cdots\!39$$$$T^{8} +$$$$76\!\cdots\!92$$$$T^{9} +$$$$36\!\cdots\!99$$$$T^{10} )^{2}$$)($$( 1 + 772158 T^{2} + 392744779285 T^{4} + 141359131262860328 T^{6} +$$$$40\!\cdots\!10$$$$T^{8} +$$$$91\!\cdots\!00$$$$T^{10} +$$$$16\!\cdots\!10$$$$T^{12} +$$$$25\!\cdots\!68$$$$T^{14} +$$$$29\!\cdots\!85$$$$T^{16} +$$$$24\!\cdots\!38$$$$T^{18} +$$$$13\!\cdots\!01$$$$T^{20} )^{2}$$)($$1 + 60 T - 201779 T^{2} + 12322740 T^{3} + 42180533641 T^{4}$$)($$1 + 360 T - 75779 T^{2} + 73936440 T^{3} + 42180533641 T^{4}$$)($$1 - 840 T + 259954 T^{2} - 29305920 T^{3} + 11504401275 T^{4} - 6018820543680 T^{5} + 10964998442112514 T^{6} - 7276916487670148760 T^{7} +$$$$17\!\cdots\!81$$$$T^{8}$$)($$1 + 140 T - 326866 T^{2} - 9000880 T^{3} + 73832727115 T^{4} - 1848591733520 T^{5} - 13787382309099106 T^{6} + 1212819414611691460 T^{7} +$$$$17\!\cdots\!81$$$$T^{8}$$)($$1 + 1520 T + 1148735 T^{2} + 566210800 T^{3} + 199248776190 T^{4} + 35546559587920 T^{5} + 2432254555145203 T^{6} + 7300516861607421680 T^{7} +$$$$84\!\cdots\!90$$$$T^{8} +$$$$49\!\cdots\!00$$$$T^{9} +$$$$20\!\cdots\!35$$$$T^{10} +$$$$55\!\cdots\!80$$$$T^{11} +$$$$75\!\cdots\!21$$$$T^{12}$$)($$1 + 332 T - 320471 T^{2} - 243978636 T^{3} - 20389370525 T^{4} + 31533377981208 T^{5} + 20583073309028818 T^{6} + 8827744675821656792 T^{7} +$$$$10\!\cdots\!81$$$$T^{8} -$$$$16\!\cdots\!84$$$$T^{9} -$$$$12\!\cdots\!45$$$$T^{10} -$$$$34\!\cdots\!36$$$$T^{11} +$$$$44\!\cdots\!21$$$$T^{12} +$$$$76\!\cdots\!88$$$$T^{13} +$$$$36\!\cdots\!58$$$$T^{14} +$$$$11\!\cdots\!92$$$$T^{15} -$$$$15\!\cdots\!25$$$$T^{16} -$$$$37\!\cdots\!24$$$$T^{17} -$$$$10\!\cdots\!31$$$$T^{18} +$$$$21\!\cdots\!08$$$$T^{19} +$$$$13\!\cdots\!01$$$$T^{20}$$)($$1 - 708 T - 594963 T^{2} + 347355028 T^{3} + 339076027067 T^{4} - 128485265745528 T^{5} - 124220569667051830 T^{6} + 22490966070804129944 T^{7} +$$$$39\!\cdots\!17$$$$T^{8} -$$$$24\!\cdots\!56$$$$T^{9} -$$$$88\!\cdots\!49$$$$T^{10} -$$$$49\!\cdots\!24$$$$T^{11} +$$$$16\!\cdots\!97$$$$T^{12} +$$$$19\!\cdots\!16$$$$T^{13} -$$$$22\!\cdots\!30$$$$T^{14} -$$$$46\!\cdots\!72$$$$T^{15} +$$$$25\!\cdots\!07$$$$T^{16} +$$$$53\!\cdots\!52$$$$T^{17} -$$$$18\!\cdots\!43$$$$T^{18} -$$$$46\!\cdots\!52$$$$T^{19} +$$$$13\!\cdots\!01$$$$T^{20}$$)($$1 - 676 T - 259179 T^{2} + 22928420 T^{3} + 159667268999 T^{4} + 15850073806032 T^{5} - 23985994336882042 T^{6} - 12685589247886825904 T^{7} +$$$$22\!\cdots\!61$$$$T^{8} +$$$$68\!\cdots\!72$$$$T^{9} +$$$$55\!\cdots\!91$$$$T^{10} +$$$$14\!\cdots\!88$$$$T^{11} +$$$$96\!\cdots\!01$$$$T^{12} -$$$$10\!\cdots\!56$$$$T^{13} -$$$$42\!\cdots\!02$$$$T^{14} +$$$$57\!\cdots\!68$$$$T^{15} +$$$$11\!\cdots\!79$$$$T^{16} +$$$$35\!\cdots\!80$$$$T^{17} -$$$$82\!\cdots\!19$$$$T^{18} -$$$$43\!\cdots\!44$$$$T^{19} +$$$$13\!\cdots\!01$$$$T^{20}$$)($$1 - 924 T - 517276 T^{2} + 679973072 T^{3} + 101433740104 T^{4} - 210989874081992 T^{5} - 48153379287798256 T^{6} + 49619099976139276892 T^{7} +$$$$30\!\cdots\!82$$$$T^{8} -$$$$14\!\cdots\!76$$$$T^{9} -$$$$10\!\cdots\!16$$$$T^{10} +$$$$36\!\cdots\!12$$$$T^{11} +$$$$26\!\cdots\!88$$$$T^{12} -$$$$45\!\cdots\!72$$$$T^{13} -$$$$68\!\cdots\!96$$$$T^{14} +$$$$22\!\cdots\!04$$$$T^{15} +$$$$16\!\cdots\!87$$$$T^{16} +$$$$45\!\cdots\!16$$$$T^{17} -$$$$28\!\cdots\!36$$$$T^{18} -$$$$39\!\cdots\!08$$$$T^{19} +$$$$46\!\cdots\!28$$$$T^{20} +$$$$13\!\cdots\!88$$$$T^{21} -$$$$78\!\cdots\!36$$$$T^{22} -$$$$22\!\cdots\!84$$$$T^{23} +$$$$97\!\cdots\!02$$$$T^{24} +$$$$32\!\cdots\!48$$$$T^{25} -$$$$64\!\cdots\!56$$$$T^{26} -$$$$57\!\cdots\!68$$$$T^{27} +$$$$57\!\cdots\!64$$$$T^{28} +$$$$78\!\cdots\!08$$$$T^{29} -$$$$12\!\cdots\!56$$$$T^{30} -$$$$45\!\cdots\!76$$$$T^{31} +$$$$10\!\cdots\!21$$$$T^{32}$$)($$1 + 924 T - 517276 T^{2} - 679973072 T^{3} + 101433740104 T^{4} + 210989874081992 T^{5} - 48153379287798256 T^{6} - 49619099976139276892 T^{7} +$$$$30\!\cdots\!82$$$$T^{8} +$$$$14\!\cdots\!76$$$$T^{9} -$$$$10\!\cdots\!16$$$$T^{10} -$$$$36\!\cdots\!12$$$$T^{11} +$$$$26\!\cdots\!88$$$$T^{12} +$$$$45\!\cdots\!72$$$$T^{13} -$$$$68\!\cdots\!96$$$$T^{14} -$$$$22\!\cdots\!04$$$$T^{15} +$$$$16\!\cdots\!87$$$$T^{16} -$$$$45\!\cdots\!16$$$$T^{17} -$$$$28\!\cdots\!36$$$$T^{18} +$$$$39\!\cdots\!08$$$$T^{19} +$$$$46\!\cdots\!28$$$$T^{20} -$$$$13\!\cdots\!88$$$$T^{21} -$$$$78\!\cdots\!36$$$$T^{22} +$$$$22\!\cdots\!84$$$$T^{23} +$$$$97\!\cdots\!02$$$$T^{24} -$$$$32\!\cdots\!48$$$$T^{25} -$$$$64\!\cdots\!56$$$$T^{26} +$$$$57\!\cdots\!68$$$$T^{27} +$$$$57\!\cdots\!64$$$$T^{28} -$$$$78\!\cdots\!08$$$$T^{29} -$$$$12\!\cdots\!56$$$$T^{30} +$$$$45\!\cdots\!76$$$$T^{31} +$$$$10\!\cdots\!21$$$$T^{32}$$)
$61$ ($$1 - 718 T + 226981 T^{2}$$)($$1 + 880 T + 226981 T^{2}$$)($$1 + 278 T + 226981 T^{2}$$)($$1 + 682 T + 226981 T^{2}$$)($$1 + 880 T + 226981 T^{2}$$)($$1 - 336 T + 458858 T^{2} - 76265616 T^{3} + 51520374361 T^{4}$$)($$1 + 880 T + 575238 T^{2} + 199743280 T^{3} + 51520374361 T^{4}$$)($$1 + 618 T + 515018 T^{2} + 140274258 T^{3} + 51520374361 T^{4}$$)($$1 + 204 T + 455006 T^{2} + 46304124 T^{3} + 51520374361 T^{4}$$)($$1 + 618 T + 515018 T^{2} + 140274258 T^{3} + 51520374361 T^{4}$$)($$1 + 468 T + 494606 T^{2} + 106227108 T^{3} + 51520374361 T^{4}$$)($$1 + 684 T + 535646 T^{2} + 155255004 T^{3} + 51520374361 T^{4}$$)($$1 - 792 T + 340886 T^{2} - 179768952 T^{3} + 51520374361 T^{4}$$)($$1 - 1050 T + 784443 T^{2} - 413439100 T^{3} + 178053656583 T^{4} - 54096393079050 T^{5} + 11694146092834141 T^{6}$$)($$1 - 1050 T + 784443 T^{2} - 413439100 T^{3} + 178053656583 T^{4} - 54096393079050 T^{5} + 11694146092834141 T^{6}$$)($$1 - 1222 T + 1103759 T^{2} - 593135356 T^{3} + 250532321579 T^{4} - 62957897469142 T^{5} + 11694146092834141 T^{6}$$)($$1 - 2176660 T^{2} + 2415730447812 T^{4} - 1797328498940742092 T^{6} +$$$$99\!\cdots\!08$$$$T^{8} -$$$$43\!\cdots\!00$$$$T^{10} +$$$$15\!\cdots\!24$$$$T^{12} -$$$$46\!\cdots\!20$$$$T^{14} +$$$$11\!\cdots\!54$$$$T^{16} -$$$$23\!\cdots\!20$$$$T^{18} +$$$$41\!\cdots\!04$$$$T^{20} -$$$$59\!\cdots\!00$$$$T^{22} +$$$$70\!\cdots\!28$$$$T^{24} -$$$$65\!\cdots\!92$$$$T^{26} +$$$$45\!\cdots\!32$$$$T^{28} -$$$$20\!\cdots\!60$$$$T^{30} +$$$$49\!\cdots\!81$$$$T^{32}$$)($$1 - 2176660 T^{2} + 2415730447812 T^{4} - 1797328498940742092 T^{6} +$$$$99\!\cdots\!08$$$$T^{8} -$$$$43\!\cdots\!00$$$$T^{10} +$$$$15\!\cdots\!24$$$$T^{12} -$$$$46\!\cdots\!20$$$$T^{14} +$$$$11\!\cdots\!54$$$$T^{16} -$$$$23\!\cdots\!20$$$$T^{18} +$$$$41\!\cdots\!04$$$$T^{20} -$$$$59\!\cdots\!00$$$$T^{22} +$$$$70\!\cdots\!28$$$$T^{24} -$$$$65\!\cdots\!92$$$$T^{26} +$$$$45\!\cdots\!32$$$$T^{28} -$$$$20\!\cdots\!60$$$$T^{30} +$$$$49\!\cdots\!81$$$$T^{32}$$)($$( 1 + 870 T + 582363 T^{2} + 282478148 T^{3} + 132185336103 T^{4} + 44822725694070 T^{5} + 11694146092834141 T^{6} )^{2}$$)($$( 1 - 650 T + 689345 T^{2} - 375251480 T^{3} + 259020342850 T^{4} - 102268282520348 T^{5} + 58792696440435850 T^{6} - 19333096729119304280 T^{7} +$$$$80\!\cdots\!45$$$$T^{8} -$$$$17\!\cdots\!50$$$$T^{9} +$$$$60\!\cdots\!01$$$$T^{10} )^{2}$$)($$( 1 + 442 T + 798959 T^{2} + 288407548 T^{3} + 306199000900 T^{4} + 84731818304260 T^{5} + 69501355423282900 T^{6} + 14858864841498076828 T^{7} +$$$$93\!\cdots\!19$$$$T^{8} +$$$$11\!\cdots\!82$$$$T^{9} +$$$$60\!\cdots\!01$$$$T^{10} )^{2}$$)($$( 1 - 512 T + 966521 T^{2} - 407347568 T^{3} + 407223849898 T^{4} - 133533946830752 T^{5} + 92432076673697938 T^{6} - 20986699198402904048 T^{7} +$$$$11\!\cdots\!61$$$$T^{8} -$$$$13\!\cdots\!52$$$$T^{9} +$$$$60\!\cdots\!01$$$$T^{10} )^{4}$$)($$1 + 392 T - 73317 T^{2} + 88976552 T^{3} + 51520374361 T^{4}$$)($$1 + 392 T - 73317 T^{2} + 88976552 T^{3} + 51520374361 T^{4}$$)($$1 + 98 T + 203041 T^{2} - 63445102 T^{3} - 16282426916 T^{4} - 14400832697062 T^{5} + 10460748330631801 T^{6} + 1146026317097745818 T^{7} +$$$$26\!\cdots\!21$$$$T^{8}$$)($$1 - 732 T - 44894 T^{2} - 92785392 T^{3} + 164091153819 T^{4} - 21060521061552 T^{5} - 2312955686562734 T^{6} - 8560114939954591212 T^{7} +$$$$26\!\cdots\!21$$$$T^{8}$$)($$1 - 1160 T + 250957 T^{2} - 125991256 T^{3} + 286379252746 T^{4} - 109352485901816 T^{5} + 9150550020060557 T^{6} - 24820936602480097496 T^{7} +$$$$14\!\cdots\!06$$$$T^{8} -$$$$14\!\cdots\!96$$$$T^{9} +$$$$66\!\cdots\!97$$$$T^{10} -$$$$69\!\cdots\!60$$$$T^{11} +$$$$13\!\cdots\!81$$$$T^{12}$$)($$1 - 584 T - 684009 T^{2} + 304553272 T^{3} + 343910273991 T^{4} - 91891274199664 T^{5} - 134703419439176310 T^{6} + 18304200035324266544 T^{7} +$$$$42\!\cdots\!49$$$$T^{8} -$$$$18\!\cdots\!52$$$$T^{9} -$$$$10\!\cdots\!07$$$$T^{10} -$$$$41\!\cdots\!12$$$$T^{11} +$$$$21\!\cdots\!89$$$$T^{12} +$$$$21\!\cdots\!04$$$$T^{13} -$$$$35\!\cdots\!10$$$$T^{14} -$$$$55\!\cdots\!64$$$$T^{15} +$$$$47\!\cdots\!71$$$$T^{16} +$$$$94\!\cdots\!92$$$$T^{17} -$$$$48\!\cdots\!69$$$$T^{18} -$$$$93\!\cdots\!64$$$$T^{19} +$$$$36\!\cdots\!01$$$$T^{20}$$)($$1 + 1944 T + 1201957 T^{2} + 465031984 T^{3} + 642573181668 T^{4} + 544248825687640 T^{5} + 179953145332374091 T^{6} + 96783385662450749352 T^{7} +$$$$99\!\cdots\!11$$$$T^{8} +$$$$41\!\cdots\!76$$$$T^{9} +$$$$10\!\cdots\!72$$$$T^{10} +$$$$94\!\cdots\!56$$$$T^{11} +$$$$51\!\cdots\!71$$$$T^{12} +$$$$11\!\cdots\!32$$$$T^{13} +$$$$47\!\cdots\!11$$$$T^{14} +$$$$32\!\cdots\!40$$$$T^{15} +$$$$87\!\cdots\!08$$$$T^{16} +$$$$14\!\cdots\!24$$$$T^{17} +$$$$84\!\cdots\!37$$$$T^{18} +$$$$31\!\cdots\!24$$$$T^{19} +$$$$36\!\cdots\!01$$$$T^{20}$$)($$1 - 188 T - 431481 T^{2} + 373005124 T^{3} + 29297127399 T^{4} - 121648932752488 T^{5} + 38284746381984330 T^{6} + 12628932742569504968 T^{7} -$$$$11\!\cdots\!39$$$$T^{8} -$$$$36\!\cdots\!84$$$$T^{9} +$$$$15\!\cdots\!05$$$$T^{10} -$$$$81\!\cdots\!04$$$$T^{11} -$$$$57\!\cdots\!79$$$$T^{12} +$$$$14\!\cdots\!88$$$$T^{13} +$$$$10\!\cdots\!30$$$$T^{14} -$$$$73\!\cdots\!88$$$$T^{15} +$$$$40\!\cdots\!19$$$$T^{16} +$$$$11\!\cdots\!64$$$$T^{17} -$$$$30\!\cdots\!21$$$$T^{18} -$$$$30\!\cdots\!48$$$$T^{19} +$$$$36\!\cdots\!01$$$$T^{20}$$)($$1 - 536 T - 1236852 T^{2} + 482959136 T^{3} + 935349396892 T^{4} - 239409662394736 T^{5} - 504528035974828568 T^{6} + 78957233386187843528 T^{7} +$$$$21\!\cdots\!34$$$$T^{8} -$$$$18\!\cdots\!52$$$$T^{9} -$$$$72\!\cdots\!28$$$$T^{10} +$$$$31\!\cdots\!64$$$$T^{11} +$$$$21\!\cdots\!96$$$$T^{12} -$$$$39\!\cdots\!72$$$$T^{13} -$$$$56\!\cdots\!00$$$$T^{14} +$$$$25\!\cdots\!92$$$$T^{15} +$$$$13\!\cdots\!47$$$$T^{16} +$$$$58\!\cdots\!52$$$$T^{17} -$$$$29\!\cdots\!00$$$$T^{18} -$$$$45\!\cdots\!52$$$$T^{19} +$$$$57\!\cdots\!16$$$$T^{20} +$$$$19\!\cdots\!64$$$$T^{21} -$$$$99\!\cdots\!68$$$$T^{22} -$$$$57\!\cdots\!72$$$$T^{23} +$$$$14\!\cdots\!94$$$$T^{24} +$$$$12\!\cdots\!88$$$$T^{25} -$$$$18\!\cdots\!68$$$$T^{26} -$$$$19\!\cdots\!16$$$$T^{27} +$$$$17\!\cdots\!12$$$$T^{28} +$$$$20\!\cdots\!76$$$$T^{29} -$$$$11\!\cdots\!92$$$$T^{30} -$$$$11\!\cdots\!36$$$$T^{31} +$$$$49\!\cdots\!81$$$$T^{32}$$)($$1 - 536 T - 1236852 T^{2} + 482959136 T^{3} + 935349396892 T^{4} - 239409662394736 T^{5} - 504528035974828568 T^{6} + 78957233386187843528 T^{7} +$$$$21\!\cdots\!34$$$$T^{8} -$$$$18\!\cdots\!52$$$$T^{9} -$$$$72\!\cdots\!28$$$$T^{10} +$$$$31\!\cdots\!64$$$$T^{11} +$$$$21\!\cdots\!96$$$$T^{12} -$$$$39\!\cdots\!72$$$$T^{13} -$$$$56\!\cdots\!00$$$$T^{14} +$$$$25\!\cdots\!92$$$$T^{15} +$$$$13\!\cdots\!47$$$$T^{16} +$$$$58\!\cdots\!52$$$$T^{17} -$$$$29\!\cdots\!00$$$$T^{18} -$$$$45\!\cdots\!52$$$$T^{19} +$$$$57\!\cdots\!16$$$$T^{20} +$$$$19\!\cdots\!64$$$$T^{21} -$$$$99\!\cdots\!68$$$$T^{22} -$$$$57\!\cdots\!72$$$$T^{23} +$$$$14\!\cdots\!94$$$$T^{24} +$$$$12\!\cdots\!88$$$$T^{25} -$$$$18\!\cdots\!68$$$$T^{26} -$$$$19\!\cdots\!16$$$$T^{27} +$$$$17\!\cdots\!12$$$$T^{28} +$$$$20\!\cdots\!76$$$$T^{29} -$$$$11\!\cdots\!92$$$$T^{30} -$$$$11\!\cdots\!36$$$$T^{31} +$$$$49\!\cdots\!81$$$$T^{32}$$)
$67$ ($$1 - 412 T + 300763 T^{2}$$)($$1 + 826 T + 300763 T^{2}$$)($$1 + 164 T + 300763 T^{2}$$)($$1 - 812 T + 300763 T^{2}$$)($$1 + 826 T + 300763 T^{2}$$)($$1 + 152 T + 599110 T^{2} + 45715976 T^{3} + 90458382169 T^{4}$$)($$1 + 356 T + 100374 T^{2} + 107071628 T^{3} + 90458382169 T^{4}$$)($$1 - 694 T + 681118 T^{2} - 208729522 T^{3} + 90458382169 T^{4}$$)($$1 + 104 T + 537670 T^{2} + 31279352 T^{3} + 90458382169 T^{4}$$)($$1 - 694 T + 681118 T^{2} - 208729522 T^{3} + 90458382169 T^{4}$$)($$1 + 1688 T + 1302310 T^{2} + 507687944 T^{3} + 90458382169 T^{4}$$)($$1 - 736 T + 602470 T^{2} - 221361568 T^{3} + 90458382169 T^{4}$$)($$1 + 788 T + 753430 T^{2} + 237001244 T^{3} + 90458382169 T^{4}$$)($$1 + 52 T + 81089 T^{2} - 61774664 T^{3} + 24388570907 T^{4} + 4703835872788 T^{5} + 27206534396294947 T^{6}$$)($$1 + 52 T + 81089 T^{2} - 61774664 T^{3} + 24388570907 T^{4} + 4703835872788 T^{5} + 27206534396294947 T^{6}$$)($$1 - 204 T + 92049 T^{2} + 202232824 T^{3} + 27684933387 T^{4} - 18453509962476 T^{5} + 27206534396294947 T^{6}$$)($$( 1 + 1064 T + 2137686 T^{2} + 1699646536 T^{3} + 1967322173720 T^{4} + 1270565114098248 T^{5} + 1081920346647088954 T^{6} +$$$$58\!\cdots\!68$$$$T^{7} +$$$$39\!\cdots\!06$$$$T^{8} +$$$$17\!\cdots\!84$$$$T^{9} +$$$$97\!\cdots\!26$$$$T^{10} +$$$$34\!\cdots\!56$$$$T^{11} +$$$$16\!\cdots\!20$$$$T^{12} +$$$$41\!\cdots\!48$$$$T^{13} +$$$$15\!\cdots\!74$$$$T^{14} +$$$$23\!\cdots\!88$$$$T^{15} +$$$$66\!\cdots\!21$$$$T^{16} )^{2}$$)($$( 1 + 1064 T + 2137686 T^{2} + 1699646536 T^{3} + 1967322173720 T^{4} + 1270565114098248 T^{5} + 1081920346647088954 T^{6} +$$$$58\!\cdots\!68$$$$T^{7} +$$$$39\!\cdots\!06$$$$T^{8} +$$$$17\!\cdots\!84$$$$T^{9} +$$$$97\!\cdots\!26$$$$T^{10} +$$$$34\!\cdots\!56$$$$T^{11} +$$$$16\!\cdots\!20$$$$T^{12} +$$$$41\!\cdots\!48$$$$T^{13} +$$$$15\!\cdots\!74$$$$T^{14} +$$$$23\!\cdots\!88$$$$T^{15} +$$$$66\!\cdots\!21$$$$T^{16} )^{2}$$)($$1 - 1101858 T^{2} + 638460439095 T^{4} - 237880710542256316 T^{6} +$$$$57\!\cdots\!55$$$$T^{8} -$$$$90\!\cdots\!38$$$$T^{10} +$$$$74\!\cdots\!09$$$$T^{12}$$)($$1 - 2016990 T^{2} + 1931325978405 T^{4} - 1175831601966849320 T^{6} +$$$$51\!\cdots\!30$$$$T^{8} -$$$$17\!\cdots\!32$$$$T^{10} +$$$$46\!\cdots\!70$$$$T^{12} -$$$$96\!\cdots\!20$$$$T^{14} +$$$$14\!\cdots\!45$$$$T^{16} -$$$$13\!\cdots\!90$$$$T^{18} +$$$$60\!\cdots\!49$$$$T^{20}$$)($$1 - 1699398 T^{2} + 1483840354293 T^{4} - 859383478287164840 T^{6} +$$$$36\!\cdots\!46$$$$T^{8} -$$$$12\!\cdots\!24$$$$T^{10} +$$$$33\!\cdots\!74$$$$T^{12} -$$$$70\!\cdots\!40$$$$T^{14} +$$$$10\!\cdots\!37$$$$T^{16} -$$$$11\!\cdots\!58$$$$T^{18} +$$$$60\!\cdots\!49$$$$T^{20}$$)($$( 1 - 1281834 T^{2} + 948405001797 T^{4} - 509737791875747576 T^{6} +$$$$21\!\cdots\!26$$$$T^{8} -$$$$70\!\cdots\!80$$$$T^{10} +$$$$19\!\cdots\!94$$$$T^{12} -$$$$41\!\cdots\!36$$$$T^{14} +$$$$70\!\cdots\!73$$$$T^{16} -$$$$85\!\cdots\!14$$$$T^{18} +$$$$60\!\cdots\!49$$$$T^{20} )^{2}$$)($$1 - 280 T - 222363 T^{2} - 84213640 T^{3} + 90458382169 T^{4}$$)($$1 - 280 T - 222363 T^{2} - 84213640 T^{3} + 90458382169 T^{4}$$)($$1 - 1286 T + 648343 T^{2} - 519450122 T^{3} + 423076706692 T^{4} - 156231377043086 T^{5} + 58648058870595967 T^{6} - 34987603233635301842 T^{7} +$$$$81\!\cdots\!61$$$$T^{8}$$)($$1 + 1066 T + 375741 T^{2} + 169588874 T^{3} + 146302956428 T^{4} + 51006058510862 T^{5} + 33988922974562229 T^{6} + 29002165666450413502 T^{7} +$$$$81\!\cdots\!61$$$$T^{8}$$)($$1 + 806 T - 307154 T^{2} - 111681852 T^{3} + 271889672754 T^{4} + 31382224966814 T^{5} - 84826512482707274 T^{6} + 9438612127693879082 T^{7} +$$$$24\!\cdots\!26$$$$T^{8} -$$$$30\!\cdots\!44$$$$T^{9} -$$$$25\!\cdots\!94$$$$T^{10} +$$$$19\!\cdots\!58$$$$T^{11} +$$$$74\!\cdots\!09$$$$T^{12}$$)($$1 + 412 T - 633285 T^{2} - 520720460 T^{3} + 54577110124 T^{4} + 159720777575348 T^{5} + 31924035283508653 T^{6} + 10162758820279347212 T^{7} +$$$$13\!\cdots\!07$$$$T^{8} -$$$$68\!\cdots\!08$$$$T^{9} -$$$$11\!\cdots\!76$$$$T^{10} -$$$$20\!\cdots\!04$$$$T^{11} +$$$$12\!\cdots\!83$$$$T^{12} +$$$$27\!\cdots\!64$$$$T^{13} +$$$$26\!\cdots\!33$$$$T^{14} +$$$$39\!\cdots\!64$$$$T^{15} +$$$$40\!\cdots\!16$$$$T^{16} -$$$$11\!\cdots\!20$$$$T^{17} -$$$$42\!\cdots\!85$$$$T^{18} +$$$$82\!\cdots\!76$$$$T^{19} +$$$$60\!\cdots\!49$$$$T^{20}$$)($$1 + 1118 T - 89755 T^{2} - 544724314 T^{3} - 95454149156 T^{4} + 123793400461058 T^{5} + 10648899628386803 T^{6} - 41531516553755134674 T^{7} -$$$$95\!\cdots\!45$$$$T^{8} +$$$$76\!\cdots\!64$$$$T^{9} +$$$$63\!\cdots\!60$$$$T^{10} +$$$$23\!\cdots\!32$$$$T^{11} -$$$$86\!\cdots\!05$$$$T^{12} -$$$$11\!\cdots\!78$$$$T^{13} +$$$$87\!\cdots\!83$$$$T^{14} +$$$$30\!\cdots\!94$$$$T^{15} -$$$$70\!\cdots\!04$$$$T^{16} -$$$$12\!\cdots\!38$$$$T^{17} -$$$$60\!\cdots\!55$$$$T^{18} +$$$$22\!\cdots\!14$$$$T^{19} +$$$$60\!\cdots\!49$$$$T^{20}$$)($$1 - 1776 T + 1302831 T^{2} - 795082424 T^{3} + 523494226340 T^{4} - 209497188661456 T^{5} + 62623175581904481 T^{6} - 31980651664564177744 T^{7} +$$$$13\!\cdots\!23$$$$T^{8} +$$$$42\!\cdots\!28$$$$T^{9} -$$$$47\!\cdots\!52$$$$T^{10} +$$$$12\!\cdots\!64$$$$T^{11} +$$$$11\!\cdots\!87$$$$T^{12} -$$$$87\!\cdots\!68$$$$T^{13} +$$$$51\!\cdots\!41$$$$T^{14} -$$$$51\!\cdots\!08$$$$T^{15} +$$$$38\!\cdots\!60$$$$T^{16} -$$$$17\!\cdots\!08$$$$T^{17} +$$$$87\!\cdots\!51$$$$T^{18} -$$$$35\!\cdots\!48$$$$T^{19} +$$$$60\!\cdots\!49$$$$T^{20}$$)($$1 + 2 T - 1559779 T^{2} - 314840270 T^{3} + 1265432566916 T^{4} + 438919949584026 T^{5} - 664914967148925975 T^{6} -$$$$31\!\cdots\!58$$$$T^{7} +$$$$25\!\cdots\!93$$$$T^{8} +$$$$15\!\cdots\!60$$$$T^{9} -$$$$73\!\cdots\!88$$$$T^{10} -$$$$50\!\cdots\!84$$$$T^{11} +$$$$17\!\cdots\!82$$$$T^{12} +$$$$11\!\cdots\!88$$$$T^{13} -$$$$41\!\cdots\!14$$$$T^{14} -$$$$13\!\cdots\!32$$$$T^{15} +$$$$11\!\cdots\!36$$$$T^{16} -$$$$39\!\cdots\!16$$$$T^{17} -$$$$37\!\cdots\!66$$$$T^{18} +$$$$31\!\cdots\!36$$$$T^{19} +$$$$14\!\cdots\!02$$$$T^{20} -$$$$12\!\cdots\!12$$$$T^{21} -$$$$54\!\cdots\!92$$$$T^{22} +$$$$33\!\cdots\!20$$$$T^{23} +$$$$16\!\cdots\!53$$$$T^{24} -$$$$63\!\cdots\!34$$$$T^{25} -$$$$40\!\cdots\!75$$$$T^{26} +$$$$79\!\cdots\!62$$$$T^{27} +$$$$69\!\cdots\!96$$$$T^{28} -$$$$51\!\cdots\!10$$$$T^{29} -$$$$77\!\cdots\!31$$$$T^{30} +$$$$29\!\cdots\!14$$$$T^{31} +$$$$44\!\cdots\!41$$$$T^{32}$$)($$1 + 2 T - 1559779 T^{2} - 314840270 T^{3} + 1265432566916 T^{4} + 438919949584026 T^{5} - 664914967148925975 T^{6} -$$$$31\!\cdots\!58$$$$T^{7} +$$$$25\!\cdots\!93$$$$T^{8} +$$$$15\!\cdots\!60$$$$T^{9} -$$$$73\!\cdots\!88$$$$T^{10} -$$$$50\!\cdots\!84$$$$T^{11} +$$$$17\!\cdots\!82$$$$T^{12} +$$$$11\!\cdots\!88$$$$T^{13} -$$$$41\!\cdots\!14$$$$T^{14} -$$$$13\!\cdots\!32$$$$T^{15} +$$$$11\!\cdots\!36$$$$T^{16} -$$$$39\!\cdots\!16$$$$T^{17} -$$$$37\!\cdots\!66$$$$T^{18} +$$$$31\!\cdots\!36$$$$T^{19} +$$$$14\!\cdots\!02$$$$T^{20} -$$$$12\!\cdots\!12$$$$T^{21} -$$$$54\!\cdots\!92$$$$T^{22} +$$$$33\!\cdots\!20$$$$T^{23} +$$$$16\!\cdots\!53$$$$T^{24} -$$$$63\!\cdots\!34$$$$T^{25} -$$$$40\!\cdots\!75$$$$T^{26} +$$$$79\!\cdots\!62$$$$T^{27} +$$$$69\!\cdots\!96$$$$T^{28} -$$$$51\!\cdots\!10$$$$T^{29} -$$$$77\!\cdots\!31$$$$T^{30} +$$$$29\!\cdots\!14$$$$T^{31} +$$$$44\!\cdots\!41$$$$T^{32}$$)
$71$ ($$1 - 960 T + 357911 T^{2}$$)($$1 - 666 T + 357911 T^{2}$$)($$1 + 672 T + 357911 T^{2}$$)($$1 + 810 T + 357911 T^{2}$$)($$1 + 666 T + 357911 T^{2}$$)($$( 1 - 952 T + 357911 T^{2} )^{2}$$)($$1 + 310 T + 664038 T^{2} + 110952410 T^{3} + 128100283921 T^{4}$$)($$1 - 814 T + 769934 T^{2} - 291339554 T^{3} + 128100283921 T^{4}$$)($$1 + 1670 T + 1384382 T^{2} + 597711370 T^{3} + 128100283921 T^{4}$$)($$1 + 814 T + 769934 T^{2} + 291339554 T^{3} + 128100283921 T^{4}$$)($$1 - 136 T + 540446 T^{2} - 48675896 T^{3} + 128100283921 T^{4}$$)($$1 - 740 T + 757502 T^{2} - 264854140 T^{3} + 128100283921 T^{4}$$)($$1 + 454 T + 304526 T^{2} + 162491594 T^{3} + 128100283921 T^{4}$$)($$1 + 416 T + 1050065 T^{2} + 283436624 T^{3} + 375829814215 T^{4} + 53289718111136 T^{5} + 45848500718449031 T^{6}$$)($$1 - 416 T + 1050065 T^{2} - 283436624 T^{3} + 375829814215 T^{4} - 53289718111136 T^{5} + 45848500718449031 T^{6}$$)($$1 - 136 T + 900677 T^{2} - 112926832 T^{3} + 322362205747 T^{4} - 17421638613256 T^{5} + 45848500718449031 T^{6}$$)($$1 - 4220756 T^{2} + 8558677156956 T^{4} - 11106509990952708780 T^{6} +$$$$10\!\cdots\!64$$$$T^{8} -$$$$74\!\cdots\!68$$$$T^{10} +$$$$42\!\cdots\!80$$$$T^{12} -$$$$20\!\cdots\!96$$$$T^{14} +$$$$78\!\cdots\!82$$$$T^{16} -$$$$25\!\cdots\!16$$$$T^{18} +$$$$69\!\cdots\!80$$$$T^{20} -$$$$15\!\cdots\!48$$$$T^{22} +$$$$27\!\cdots\!84$$$$T^{24} -$$$$38\!\cdots\!80$$$$T^{26} +$$$$37\!\cdots\!76$$$$T^{28} -$$$$23\!\cdots\!96$$$$T^{30} +$$$$72\!\cdots\!61$$$$T^{32}$$)($$1 - 4220756 T^{2} + 8558677156956 T^{4} - 11106509990952708780 T^{6} +$$$$10\!\cdots\!64$$$$T^{8} -$$$$74\!\cdots\!68$$$$T^{10} +$$$$42\!\cdots\!80$$$$T^{12} -$$$$20\!\cdots\!96$$$$T^{14} +$$$$78\!\cdots\!82$$$$T^{16} -$$$$25\!\cdots\!16$$$$T^{18} +$$$$69\!\cdots\!80$$$$T^{20} -$$$$15\!\cdots\!48$$$$T^{22} +$$$$27\!\cdots\!84$$$$T^{24} -$$$$38\!\cdots\!80$$$$T^{26} +$$$$37\!\cdots\!76$$$$T^{28} -$$$$23\!\cdots\!96$$$$T^{30} +$$$$72\!\cdots\!61$$$$T^{32}$$)($$( 1 - 1018 T + 1108049 T^{2} - 595462884 T^{3} + 396582925639 T^{4} - 130406089031578 T^{5} + 45848500718449031 T^{6} )^{2}$$)($$( 1 + 1470 T + 1881615 T^{2} + 1727909680 T^{3} + 1338943951990 T^{4} + 860023408325220 T^{5} + 479222768800692890 T^{6} +$$$$22\!\cdots\!80$$$$T^{7} +$$$$86\!\cdots\!65$$$$T^{8} +$$$$24\!\cdots\!70$$$$T^{9} +$$$$58\!\cdots\!51$$$$T^{10} )^{2}$$)($$( 1 + 440 T + 1467407 T^{2} + 492789840 T^{3} + 952423975862 T^{4} + 247789000795120 T^{5} + 340883017624744282 T^{6} + 63126518417384162640 T^{7} +$$$$67\!\cdots\!17$$$$T^{8} +$$$$72\!\cdots\!40$$$$T^{9} +$$$$58\!\cdots\!51$$$$T^{10} )^{2}$$)($$( 1 + 976926 T^{2} + 695138707661 T^{4} + 336403718037054984 T^{6} +$$$$14\!\cdots\!66$$$$T^{8} +$$$$54\!\cdots\!60$$$$T^{10} +$$$$18\!\cdots\!86$$$$T^{12} +$$$$55\!\cdots\!44$$$$T^{14} +$$$$14\!\cdots\!21$$$$T^{16} +$$$$26\!\cdots\!06$$$$T^{18} +$$$$34\!\cdots\!01$$$$T^{20} )^{2}$$)($$( 1 + 258 T + 357911 T^{2} )^{2}$$)($$( 1 + 48 T + 357911 T^{2} )^{2}$$)($$( 1 + 1064 T + 753846 T^{2} + 380817304 T^{3} + 128100283921 T^{4} )^{2}$$)($$( 1 - 1208 T + 959606 T^{2} - 432356488 T^{3} + 128100283921 T^{4} )^{2}$$)($$( 1 - 406 T + 391273 T^{2} - 58294156 T^{3} + 140040910703 T^{4} - 52008715271926 T^{5} + 45848500718449031 T^{6} )^{2}$$)($$( 1 - 142 T + 1020275 T^{2} - 238977320 T^{3} + 602260486134 T^{4} - 107445186880572 T^{5} + 215555652852706074 T^{6} - 30613062542679671720 T^{7} +$$$$46\!\cdots\!25$$$$T^{8} -$$$$23\!\cdots\!22$$$$T^{9} +$$$$58\!\cdots\!51$$$$T^{10} )^{2}$$)($$( 1 + 864 T + 1690919 T^{2} + 959528208 T^{3} + 1093514996270 T^{4} + 459054202031136 T^{5} + 391381045829991970 T^{6} +$$$$12\!\cdots\!68$$$$T^{7} +$$$$77\!\cdots\!89$$$$T^{8} +$$$$14\!\cdots\!24$$$$T^{9} +$$$$58\!\cdots\!51$$$$T^{10} )^{2}$$)($$( 1 - 6 T + 797207 T^{2} + 67070712 T^{3} + 425455729610 T^{4} + 37303525976244 T^{5} + 152275285640444710 T^{6} + 8591777249983621752 T^{7} +$$$$36\!\cdots\!17$$$$T^{8} -$$$$98\!\cdots\!46$$$$T^{9} +$$$$58\!\cdots\!51$$$$T^{10} )^{2}$$)($$( 1 - 1516 T + 2294092 T^{2} - 1988968800 T^{3} + 1567706957560 T^{4} - 797120393829944 T^{5} + 368617922003525640 T^{6} - 74775492426437319908 T^{7} +$$$$40\!\cdots\!62$$$$T^{8} -$$$$26\!\cdots\!88$$$$T^{9} +$$$$47\!\cdots\!40$$$$T^{10} -$$$$36\!\cdots\!64$$$$T^{11} +$$$$25\!\cdots\!60$$$$T^{12} -$$$$11\!\cdots\!00$$$$T^{13} +$$$$48\!\cdots\!12$$$$T^{14} -$$$$11\!\cdots\!36$$$$T^{15} +$$$$26\!\cdots\!81$$$$T^{16} )^{2}$$)($$( 1 + 1516 T + 2294092 T^{2} + 1988968800 T^{3} + 1567706957560 T^{4} + 797120393829944 T^{5} + 368617922003525640 T^{6} + 74775492426437319908 T^{7} +$$$$40\!\cdots\!62$$$$T^{8} +$$$$26\!\cdots\!88$$$$T^{9} +$$$$47\!\cdots\!40$$$$T^{10} +$$$$36\!\cdots\!64$$$$T^{11} +$$$$25\!\cdots\!60$$$$T^{12} +$$$$11\!\cdots\!00$$$$T^{13} +$$$$48\!\cdots\!12$$$$T^{14} +$$$$11\!\cdots\!36$$$$T^{15} +$$$$26\!\cdots\!81$$$$T^{16} )^{2}$$)
$73$ ($$1 - 1066 T + 389017 T^{2}$$)($$1 + 826 T + 389017 T^{2}$$)($$1 - 82 T + 389017 T^{2}$$)($$1 + 124 T + 389017 T^{2}$$)($$1 + 826 T + 389017 T^{2}$$)($$1 - 676 T + 655606 T^{2} - 262975492 T^{3} + 151334226289 T^{4}$$)($$1 - 326 T + 789802 T^{2} - 126819542 T^{3} + 151334226289 T^{4}$$)($$1 - 82 T + 422290 T^{2} - 31899394 T^{3} + 151334226289 T^{4}$$)($$1 + 386 T + 152218 T^{2} + 150160562 T^{3} + 151334226289 T^{4}$$)($$1 - 82 T + 422290 T^{2} - 31899394 T^{3} + 151334226289 T^{4}$$)($$1 - 508 T + 13078 T^{2} - 197620636 T^{3} + 151334226289 T^{4}$$)($$1 - 424 T + 748558 T^{2} - 164943208 T^{3} + 151334226289 T^{4}$$)($$1 - 778 T + 794698 T^{2} - 302655226 T^{3} + 151334226289 T^{4}$$)($$1 + 312 T + 987991 T^{2} + 198811072 T^{3} + 384345294847 T^{4} + 47216278602168 T^{5} + 58871586708267913 T^{6}$$)($$1 + 312 T + 987991 T^{2} + 198811072 T^{3} + 384345294847 T^{4} + 47216278602168 T^{5} + 58871586708267913 T^{6}$$)($$1 - 310 T + 450279 T^{2} - 192471924 T^{3} + 175166185743 T^{4} - 46913610149590 T^{5} + 58871586708267913 T^{6}$$)($$1 - 2363656 T^{2} + 3021171592248 T^{4} - 2730062057487635096 T^{6} +$$$$19\!\cdots\!68$$$$T^{8} -$$$$11\!\cdots\!56$$$$T^{10} +$$$$58\!\cdots\!80$$$$T^{12} -$$$$26\!\cdots\!60$$$$T^{14} +$$$$11\!\cdots\!14$$$$T^{16} -$$$$40\!\cdots\!40$$$$T^{18} +$$$$13\!\cdots\!80$$$$T^{20} -$$$$39\!\cdots\!64$$$$T^{22} +$$$$10\!\cdots\!88$$$$T^{24} -$$$$21\!\cdots\!04$$$$T^{26} +$$$$36\!\cdots\!28$$$$T^{28} -$$$$42\!\cdots\!24$$$$T^{30} +$$$$27\!\cdots\!81$$$$T^{32}$$)($$1 - 2363656 T^{2} + 3021171592248 T^{4} - 2730062057487635096 T^{6} +$$$$19\!\cdots\!68$$$$T^{8} -$$$$11\!\cdots\!56$$$$T^{10} +$$$$58\!\cdots\!80$$$$T^{12} -$$$$26\!\cdots\!60$$$$T^{14} +$$$$11\!\cdots\!14$$$$T^{16} -$$$$40\!\cdots\!40$$$$T^{18} +$$$$13\!\cdots\!80$$$$T^{20} -$$$$39\!\cdots\!64$$$$T^{22} +$$$$10\!\cdots\!88$$$$T^{24} -$$$$21\!\cdots\!04$$$$T^{26} +$$$$36\!\cdots\!28$$$$T^{28} -$$$$42\!\cdots\!24$$$$T^{30} +$$$$27\!\cdots\!81$$$$T^{32}$$)($$1 - 596010 T^{2} + 300446924511 T^{4} - 131249091840782924 T^{6} +$$$$45\!\cdots\!79$$$$T^{8} -$$$$13\!\cdots\!10$$$$T^{10} +$$$$34\!\cdots\!69$$$$T^{12}$$)($$1 - 2398886 T^{2} + 2442762516189 T^{4} - 1366613667006822216 T^{6} +$$$$48\!\cdots\!38$$$$T^{8} -$$$$16\!\cdots\!36$$$$T^{10} +$$$$73\!\cdots\!82$$$$T^{12} -$$$$31\!\cdots\!36$$$$T^{14} +$$$$84\!\cdots\!41$$$$T^{16} -$$$$12\!\cdots\!26$$$$T^{18} +$$$$79\!\cdots\!49$$$$T^{20}$$)($$1 - 2526314 T^{2} + 3202004346045 T^{4} - 2657464253457184440 T^{6} +$$$$15\!\cdots\!10$$$$T^{8} -$$$$70\!\cdots\!52$$$$T^{10} +$$$$24\!\cdots\!90$$$$T^{12} -$$$$60\!\cdots\!40$$$$T^{14} +$$$$11\!\cdots\!05$$$$T^{16} -$$$$13\!\cdots\!74$$$$T^{18} +$$$$79\!\cdots\!49$$$$T^{20}$$)($$( 1 - 1722794 T^{2} + 1547365226397 T^{4} - 1004927770281063096 T^{6} +$$$$52\!\cdots\!54$$$$T^{8} -$$$$22\!\cdots\!40$$$$T^{10} +$$$$79\!\cdots\!06$$$$T^{12} -$$$$23\!\cdots\!16$$$$T^{14} +$$$$53\!\cdots\!93$$$$T^{16} -$$$$90\!\cdots\!54$$$$T^{18} +$$$$79\!\cdots\!49$$$$T^{20} )^{2}$$)($$1 + 578 T - 54933 T^{2} + 224851826 T^{3} + 151334226289 T^{4}$$)($$1 + 668 T + 57207 T^{2} + 259863356 T^{3} + 151334226289 T^{4}$$)($$1 - 172 T - 727998 T^{2} + 3517744 T^{3} + 411087581507 T^{4} + 1368462217648 T^{5} - 110171014069939422 T^{6} - 10125912913822081036 T^{7} +$$$$22\!\cdots\!21$$$$T^{8}$$)($$1 + 1654 T + 1273953 T^{2} + 1130887766 T^{3} + 921176810708 T^{4} + 439934566066022 T^{5} + 192792691583550417 T^{6} + 97373604415475128102 T^{7} +$$$$22\!\cdots\!21$$$$T^{8}$$)($$1 - 1192 T - 104132 T^{2} + 45350124 T^{3} + 621928798908 T^{4} - 186728509861888 T^{5} - 134157440913090458 T^{6} - 72640564720942084096 T^{7} +$$$$94\!\cdots\!12$$$$T^{8} +$$$$26\!\cdots\!12$$$$T^{9} -$$$$23\!\cdots\!72$$$$T^{10} -$$$$10\!\cdots\!44$$$$T^{11} +$$$$34\!\cdots\!69$$$$T^{12}$$)($$1 - 2074 T + 1006865 T^{2} - 22856718 T^{3} + 797613942736 T^{4} - 798346226345510 T^{5} - 93874831999907421 T^{6} + 62628506747320190882 T^{7} +$$$$25\!\cdots\!63$$$$T^{8} -$$$$66\!\cdots\!88$$$$T^{9} -$$$$65\!\cdots\!20$$$$T^{10} -$$$$25\!\cdots\!96$$$$T^{11} +$$$$38\!\cdots\!07$$$$T^{12} +$$$$36\!\cdots\!66$$$$T^{13} -$$$$21\!\cdots\!41$$$$T^{14} -$$$$71\!\cdots\!70$$$$T^{15} +$$$$27\!\cdots\!84$$$$T^{16} -$$$$30\!\cdots\!14$$$$T^{17} +$$$$52\!\cdots\!65$$$$T^{18} -$$$$42\!\cdots\!78$$$$T^{19} +$$$$79\!\cdots\!49$$$$T^{20}$$)($$1 - 1652 T + 187071 T^{2} + 576882732 T^{3} + 434002580187 T^{4} - 531471598604920 T^{5} - 187348919748357658 T^{6} +$$$$14\!\cdots\!36$$$$T^{7} +$$$$11\!\cdots\!81$$$$T^{8} -$$$$15\!\cdots\!24$$$$T^{9} -$$$$60\!\cdots\!27$$$$T^{10} -$$$$59\!\cdots\!08$$$$T^{11} +$$$$17\!\cdots\!09$$$$T^{12} +$$$$87\!\cdots\!68$$$$T^{13} -$$$$42\!\cdots\!18$$$$T^{14} -$$$$47\!\cdots\!40$$$$T^{15} +$$$$15\!\cdots\!03$$$$T^{16} +$$$$77\!\cdots\!36$$$$T^{17} +$$$$98\!\cdots\!11$$$$T^{18} -$$$$33\!\cdots\!44$$$$T^{19} +$$$$79\!\cdots\!49$$$$T^{20}$$)($$1 + 2006 T + 2213445 T^{2} + 2068190842 T^{3} + 1617233236496 T^{4} + 980484252789530 T^{5} + 644957368099789599 T^{6} +$$$$49\!\cdots\!02$$$$T^{7} +$$$$36\!\cdots\!03$$$$T^{8} +$$$$27\!\cdots\!32$$$$T^{9} +$$$$19\!\cdots\!20$$$$T^{10} +$$$$10\!\cdots\!44$$$$T^{11} +$$$$54\!\cdots\!67$$$$T^{12} +$$$$29\!\cdots\!26$$$$T^{13} +$$$$14\!\cdots\!79$$$$T^{14} +$$$$87\!\cdots\!10$$$$T^{15} +$$$$56\!\cdots\!24$$$$T^{16} +$$$$27\!\cdots\!66$$$$T^{17} +$$$$11\!\cdots\!45$$$$T^{18} +$$$$40\!\cdots\!82$$$$T^{19} +$$$$79\!\cdots\!49$$$$T^{20}$$)($$1 + 86 T - 1493851 T^{2} - 583716674 T^{3} + 1255879064184 T^{4} + 691769402085570 T^{5} - 504135385846353555 T^{6} -$$$$44\!\cdots\!78$$$$T^{7} +$$$$39\!\cdots\!01$$$$T^{8} +$$$$12\!\cdots\!28$$$$T^{9} +$$$$79\!\cdots\!96$$$$T^{10} +$$$$12\!\cdots\!16$$$$T^{11} -$$$$42\!\cdots\!98$$$$T^{12} -$$$$23\!\cdots\!52$$$$T^{13} +$$$$10\!\cdots\!58$$$$T^{14} +$$$$52\!\cdots\!40$$$$T^{15} -$$$$20\!\cdots\!20$$$$T^{16} +$$$$20\!\cdots\!80$$$$T^{17} +$$$$16\!\cdots\!62$$$$T^{18} -$$$$13\!\cdots\!76$$$$T^{19} -$$$$98\!\cdots\!58$$$$T^{20} +$$$$10\!\cdots\!12$$$$T^{21} +$$$$27\!\cdots\!24$$$$T^{22} +$$$$17\!\cdots\!44$$$$T^{23} +$$$$20\!\cdots\!41$$$$T^{24} -$$$$90\!\cdots\!66$$$$T^{25} -$$$$40\!\cdots\!95$$$$T^{26} +$$$$21\!\cdots\!10$$$$T^{27} +$$$$15\!\cdots\!24$$$$T^{28} -$$$$27\!\cdots\!38$$$$T^{29} -$$$$27\!\cdots\!79$$$$T^{30} +$$$$60\!\cdots\!98$$$$T^{31} +$$$$27\!\cdots\!81$$$$T^{32}$$)($$1 + 86 T - 1493851 T^{2} - 583716674 T^{3} + 1255879064184 T^{4} + 691769402085570 T^{5} - 504135385846353555 T^{6} -$$$$44\!\cdots\!78$$$$T^{7} +$$$$39\!\cdots\!01$$$$T^{8} +$$$$12\!\cdots\!28$$$$T^{9} +$$$$79\!\cdots\!96$$$$T^{10} +$$$$12\!\cdots\!16$$$$T^{11} -$$$$42\!\cdots\!98$$$$T^{12} -$$$$23\!\cdots\!52$$$$T^{13} +$$$$10\!\cdots\!58$$$$T^{14} +$$$$52\!\cdots\!40$$$$T^{15} -$$$$20\!\cdots\!20$$$$T^{16} +$$$$20\!\cdots\!80$$$$T^{17} +$$$$16\!\cdots\!62$$$$T^{18} -$$$$13\!\cdots\!76$$$$T^{19} -$$$$98\!\cdots\!58$$$$T^{20} +$$$$10\!\cdots\!12$$$$T^{21} +$$$$27\!\cdots\!24$$$$T^{22} +$$$$17\!\cdots\!44$$$$T^{23} +$$$$20\!\cdots\!41$$$$T^{24} -$$$$90\!\cdots\!66$$$$T^{25} -$$$$40\!\cdots\!95$$$$T^{26} +$$$$21\!\cdots\!10$$$$T^{27} +$$$$15\!\cdots\!24$$$$T^{28} -$$$$27\!\cdots\!38$$$$T^{29} -$$$$27\!\cdots\!79$$$$T^{30} +$$$$60\!\cdots\!98$$$$T^{31} +$$$$27\!\cdots\!81$$$$T^{32}$$)
$79$ ($$1 - 896 T + 493039 T^{2}$$)($$1 + 592 T + 493039 T^{2}$$)($$1 + 1000 T + 493039 T^{2}$$)($$1 - 1136 T + 493039 T^{2}$$)($$1 + 592 T + 493039 T^{2}$$)($$1 - 1014 T + 1120119 T^{2} - 499941546 T^{3} + 243087455521 T^{4}$$)($$1 - 1832 T + 1824478 T^{2} - 903247448 T^{3} + 243087455521 T^{4}$$)($$1 - 600 T + 618846 T^{2} - 295823400 T^{3} + 243087455521 T^{4}$$)($$1 + 888 T + 1007454 T^{2} + 437818632 T^{3} + 243087455521 T^{4}$$)($$1 - 600 T + 618846 T^{2} - 295823400 T^{3} + 243087455521 T^{4}$$)($$1 + 432 T + 602142 T^{2} + 212992848 T^{3} + 243087455521 T^{4}$$)($$1 + 408 T - 143586 T^{2} + 201159912 T^{3} + 243087455521 T^{4}$$)($$1 - 408 T + 994782 T^{2} - 201159912 T^{3} + 243087455521 T^{4}$$)($$1 + 488 T + 50733 T^{2} + 198311472 T^{3} + 25013347587 T^{4} + 118626678294248 T^{5} + 119851595982618319 T^{6}$$)($$1 + 488 T + 50733 T^{2} + 198311472 T^{3} + 25013347587 T^{4} + 118626678294248 T^{5} + 119851595982618319 T^{6}$$)($$1 + 1034 T + 1094262 T^{2} + 675989052 T^{3} + 539513842218 T^{4} + 251352429008714 T^{5} + 119851595982618319 T^{6}$$)($$( 1 + 164 T + 1958940 T^{2} + 281178436 T^{3} + 2157889796516 T^{4} + 229256035664244 T^{5} + 1645333109573768932 T^{6} +$$$$14\!\cdots\!28$$$$T^{7} +$$$$93\!\cdots\!74$$$$T^{8} +$$$$72\!\cdots\!92$$$$T^{9} +$$$$39\!\cdots\!72$$$$T^{10} +$$$$27\!\cdots\!36$$$$T^{11} +$$$$12\!\cdots\!56$$$$T^{12} +$$$$81\!\cdots\!64$$$$T^{13} +$$$$28\!\cdots\!40$$$$T^{14} +$$$$11\!\cdots\!56$$$$T^{15} +$$$$34\!\cdots\!81$$$$T^{16} )^{2}$$)($$( 1 + 164 T + 1958940 T^{2} + 281178436 T^{3} + 2157889796516 T^{4} + 229256035664244 T^{5} + 1645333109573768932 T^{6} +$$$$14\!\cdots\!28$$$$T^{7} +$$$$93\!\cdots\!74$$$$T^{8} +$$$$72\!\cdots\!92$$$$T^{9} +$$$$39\!\cdots\!72$$$$T^{10} +$$$$27\!\cdots\!36$$$$T^{11} +$$$$12\!\cdots\!56$$$$T^{12} +$$$$81\!\cdots\!64$$$$T^{13} +$$$$28\!\cdots\!40$$$$T^{14} +$$$$11\!\cdots\!56$$$$T^{15} +$$$$34\!\cdots\!81$$$$T^{16} )^{2}$$)($$( 1 - 1620 T + 1787517 T^{2} - 1338821912 T^{3} + 881315594163 T^{4} - 393801677944020 T^{5} + 119851595982618319 T^{6} )^{2}$$)($$( 1 - 820 T + 1736795 T^{2} - 1027136240 T^{3} + 1389341527610 T^{4} - 657402503393464 T^{5} + 684999557431306790 T^{6} -$$$$24\!\cdots\!40$$$$T^{7} +$$$$20\!\cdots\!05$$$$T^{8} -$$$$48\!\cdots\!20$$$$T^{9} +$$$$29\!\cdots\!99$$$$T^{10} )^{2}$$)($$( 1 + 1790 T + 3366800 T^{2} + 3670804696 T^{3} + 3768250665575 T^{4} + 2749245121712708 T^{5} + 1857894539904432425 T^{6} +$$$$89\!\cdots\!16$$$$T^{7} +$$$$40\!\cdots\!00$$$$T^{8} +$$$$10\!\cdots\!90$$$$T^{9} +$$$$29\!\cdots\!99$$$$T^{10} )^{2}$$)($$( 1 - 388 T + 1996379 T^{2} - 585543920 T^{3} + 1760484686906 T^{4} - 397525736141848 T^{5} + 867987609547447334 T^{6} -$$$$14\!\cdots\!20$$$$T^{7} +$$$$23\!\cdots\!01$$$$T^{8} -$$$$22\!\cdots\!08$$$$T^{9} +$$$$29\!\cdots\!99$$$$T^{10} )^{4}$$)($$1 + 152 T - 469935 T^{2} + 74941928 T^{3} + 243087455521 T^{4}$$)($$1 + 782 T + 118485 T^{2} + 385556498 T^{3} + 243087455521 T^{4}$$)($$1 - 1240 T + 258714 T^{2} - 363081920 T^{3} + 634365179075 T^{4} - 179013546754880 T^{5} + 62890127967659994 T^{6} -$$$$14\!\cdots\!60$$$$T^{7} +$$$$59\!\cdots\!41$$$$T^{8}$$)($$1 + 1134 T - 19563 T^{2} + 362246094 T^{3} + 827265943556 T^{4} + 178601451939666 T^{5} - 4755519892357323 T^{6} +$$$$13\!\cdots\!46$$$$T^{7} +$$$$59\!\cdots\!41$$$$T^{8}$$)($$1 - 2590 T + 3397518 T^{2} - 3071564116 T^{3} + 2201525113146 T^{4} - 1283368958653574 T^{5} + 775684873337457726 T^{6} -$$$$63\!\cdots\!86$$$$T^{7} +$$$$53\!\cdots\!66$$$$T^{8} -$$$$36\!\cdots\!04$$$$T^{9} +$$$$20\!\cdots\!38$$$$T^{10} -$$$$75\!\cdots\!10$$$$T^{11} +$$$$14\!\cdots\!61$$$$T^{12}$$)($$1 + 28 T - 1713233 T^{2} + 137836596 T^{3} + 1524513275000 T^{4} - 195374153482332 T^{5} - 1026627193743889947 T^{6} + 79301893796380256380 T^{7} +$$$$59\!\cdots\!51$$$$T^{8} -$$$$90\!\cdots\!64$$$$T^{9} -$$$$31\!\cdots\!36$$$$T^{10} -$$$$44\!\cdots\!96$$$$T^{11} +$$$$14\!\cdots\!71$$$$T^{12} +$$$$95\!\cdots\!20$$$$T^{13} -$$$$60\!\cdots\!27$$$$T^{14} -$$$$56\!\cdots\!68$$$$T^{15} +$$$$21\!\cdots\!00$$$$T^{16} +$$$$97\!\cdots\!84$$$$T^{17} -$$$$59\!\cdots\!73$$$$T^{18} +$$$$48\!\cdots\!52$$$$T^{19} +$$$$84\!\cdots\!01$$$$T^{20}$$)($$1 + 218 T - 1453667 T^{2} - 1963370 T^{3} + 1085327492763 T^{4} - 157694661811260 T^{5} - 575577812372860958 T^{6} + 81206950854078977836 T^{7} +$$$$26\!\cdots\!29$$$$T^{8} -$$$$96\!\cdots\!90$$$$T^{9} -$$$$12\!\cdots\!41$$$$T^{10} -$$$$47\!\cdots\!10$$$$T^{11} +$$$$64\!\cdots\!09$$$$T^{12} +$$$$97\!\cdots\!84$$$$T^{13} -$$$$34\!\cdots\!78$$$$T^{14} -$$$$45\!\cdots\!40$$$$T^{15} +$$$$15\!\cdots\!43$$$$T^{16} -$$$$13\!\cdots\!30$$$$T^{17} -$$$$50\!\cdots\!27$$$$T^{18} +$$$$37\!\cdots\!62$$$$T^{19} +$$$$84\!\cdots\!01$$$$T^{20}$$)($$1 + 200 T - 1905761 T^{2} - 521788304 T^{3} + 2022855950280 T^{4} + 568166623235112 T^{5} - 1467320191398068699 T^{6} -$$$$32\!\cdots\!56$$$$T^{7} +$$$$84\!\cdots\!03$$$$T^{8} +$$$$73\!\cdots\!56$$$$T^{9} -$$$$42\!\cdots\!44$$$$T^{10} +$$$$36\!\cdots\!84$$$$T^{11} +$$$$20\!\cdots\!63$$$$T^{12} -$$$$39\!\cdots\!64$$$$T^{13} -$$$$86\!\cdots\!59$$$$T^{14} +$$$$16\!\cdots\!88$$$$T^{15} +$$$$29\!\cdots\!80$$$$T^{16} -$$$$36\!\cdots\!16$$$$T^{17} -$$$$66\!\cdots\!41$$$$T^{18} +$$$$34\!\cdots\!00$$$$T^{19} +$$$$84\!\cdots\!01$$$$T^{20}$$)($$1 - 42 T - 2503139 T^{2} + 189302734 T^{3} + 3111403326836 T^{4} - 315550943547382 T^{5} - 2715754587893574743 T^{6} +$$$$31\!\cdots\!82$$$$T^{7} +$$$$19\!\cdots\!29$$$$T^{8} -$$$$22\!\cdots\!84$$$$T^{9} -$$$$12\!\cdots\!40$$$$T^{10} +$$$$11\!\cdots\!36$$$$T^{11} +$$$$74\!\cdots\!22$$$$T^{12} -$$$$37\!\cdots\!24$$$$T^{13} -$$$$41\!\cdots\!06$$$$T^{14} +$$$$64\!\cdots\!04$$$$T^{15} +$$$$20\!\cdots\!56$$$$T^{16} +$$$$31\!\cdots\!56$$$$T^{17} -$$$$99\!\cdots\!26$$$$T^{18} -$$$$45\!\cdots\!56$$$$T^{19} +$$$$44\!\cdots\!02$$$$T^{20} +$$$$32\!\cdots\!64$$$$T^{21} -$$$$18\!\cdots\!40$$$$T^{22} -$$$$15\!\cdots\!36$$$$T^{23} +$$$$68\!\cdots\!49$$$$T^{24} +$$$$55\!\cdots\!38$$$$T^{25} -$$$$23\!\cdots\!43$$$$T^{26} -$$$$13\!\cdots\!98$$$$T^{27} +$$$$64\!\cdots\!56$$$$T^{28} +$$$$19\!\cdots\!46$$$$T^{29} -$$$$12\!\cdots\!99$$$$T^{30} -$$$$10\!\cdots\!58$$$$T^{31} +$$$$12\!\cdots\!61$$$$T^{32}$$)($$1 - 42 T - 2503139 T^{2} + 189302734 T^{3} + 3111403326836 T^{4} - 315550943547382 T^{5} - 2715754587893574743 T^{6} +$$$$31\!\cdots\!82$$$$T^{7} +$$$$19\!\cdots\!29$$$$T^{8} -$$$$22\!\cdots\!84$$$$T^{9} -$$$$12\!\cdots\!40$$$$T^{10} +$$$$11\!\cdots\!36$$$$T^{11} +$$$$74\!\cdots\!22$$$$T^{12} -$$$$37\!\cdots\!24$$$$T^{13} -$$$$41\!\cdots\!06$$$$T^{14} +$$$$64\!\cdots\!04$$$$T^{15} +$$$$20\!\cdots\!56$$$$T^{16} +$$$$31\!\cdots\!56$$$$T^{17} -$$$$99\!\cdots\!26$$$$T^{18} -$$$$45\!\cdots\!56$$$$T^{19} +$$$$44\!\cdots\!02$$$$T^{20} +$$$$32\!\cdots\!64$$$$T^{21} -$$$$18\!\cdots\!40$$$$T^{22} -$$$$15\!\cdots\!36$$$$T^{23} +$$$$68\!\cdots\!49$$$$T^{24} +$$$$55\!\cdots\!38$$$$T^{25} -$$$$23\!\cdots\!43$$$$T^{26} -$$$$13\!\cdots\!98$$$$T^{27} +$$$$64\!\cdots\!56$$$$T^{28} +$$$$19\!\cdots\!46$$$$T^{29} -$$$$12\!\cdots\!99$$$$T^{30} -$$$$10\!\cdots\!58$$$$T^{31} +$$$$12\!\cdots\!61$$$$T^{32}$$)
$83$ ($$1 + 436 T + 571787 T^{2}$$)($$1 + 792 T + 571787 T^{2}$$)($$1 - 448 T + 571787 T^{2}$$)($$1 + 156 T + 571787 T^{2}$$)($$1 - 792 T + 571787 T^{2}$$)($$1 - 376 T + 458918 T^{2} - 214991912 T^{3} + 326940373369 T^{4}$$)($$1 - 680 T + 744870 T^{2} - 388815160 T^{3} + 326940373369 T^{4}$$)($$1 + 268 T + 779030 T^{2} + 153238916 T^{3} + 326940373369 T^{4}$$)($$1 + 928 T + 600710 T^{2} + 530618336 T^{3} + 326940373369 T^{4}$$)($$1 - 268 T + 779030 T^{2} - 153238916 T^{3} + 326940373369 T^{4}$$)($$1 - 584 T + 1172390 T^{2} - 333923608 T^{3} + 326940373369 T^{4}$$)($$1 + 608 T + 1200710 T^{2} + 347646496 T^{3} + 326940373369 T^{4}$$)($$1 + 1136 T + 1169990 T^{2} + 649550032 T^{3} + 326940373369 T^{4}$$)($$1 + 948 T + 1105441 T^{2} + 652600952 T^{3} + 632076793067 T^{4} + 309939473953812 T^{5} + 186940255267540403 T^{6}$$)($$1 - 948 T + 1105441 T^{2} - 652600952 T^{3} + 632076793067 T^{4} - 309939473953812 T^{5} + 186940255267540403 T^{6}$$)($$1 - 1660 T + 2204369 T^{2} - 1855605736 T^{3} + 1260429537403 T^{4} - 542721019792540 T^{5} + 186940255267540403 T^{6}$$)($$( 1 - 1176 T + 3452536 T^{2} - 2794424088 T^{3} + 4810914827836 T^{4} - 2810567552082264 T^{5} + 3927379447144646920 T^{6} -$$$$17\!\cdots\!40$$$$T^{7} +$$$$24\!\cdots\!06$$$$T^{8} -$$$$10\!\cdots\!80$$$$T^{9} +$$$$12\!\cdots\!80$$$$T^{10} -$$$$52\!\cdots\!92$$$$T^{11} +$$$$51\!\cdots\!96$$$$T^{12} -$$$$17\!\cdots\!16$$$$T^{13} +$$$$12\!\cdots\!24$$$$T^{14} -$$$$23\!\cdots\!08$$$$T^{15} +$$$$11\!\cdots\!21$$$$T^{16} )^{2}$$)($$( 1 + 1176 T + 3452536 T^{2} + 2794424088 T^{3} + 4810914827836 T^{4} + 2810567552082264 T^{5} + 3927379447144646920 T^{6} +$$$$17\!\cdots\!40$$$$T^{7} +$$$$24\!\cdots\!06$$$$T^{8} +$$$$10\!\cdots\!80$$$$T^{9} +$$$$12\!\cdots\!80$$$$T^{10} +$$$$52\!\cdots\!92$$$$T^{11} +$$$$51\!\cdots\!96$$$$T^{12} +$$$$17\!\cdots\!16$$$$T^{13} +$$$$12\!\cdots\!24$$$$T^{14} +$$$$23\!\cdots\!08$$$$T^{15} +$$$$11\!\cdots\!21$$$$T^{16} )^{2}$$)($$1 - 1086594 T^{2} + 1370317231383 T^{4} - 756582920323766652 T^{6} +$$$$44\!\cdots\!27$$$$T^{8} -$$$$11\!\cdots\!34$$$$T^{10} +$$$$34\!\cdots\!09$$$$T^{12}$$)($$1 - 4743150 T^{2} + 10500593430085 T^{4} - 14340896860193237480 T^{6} +$$$$13\!\cdots\!10$$$$T^{8} -$$$$90\!\cdots\!28$$$$T^{10} +$$$$43\!\cdots\!90$$$$T^{12} -$$$$15\!\cdots\!80$$$$T^{14} +$$$$36\!\cdots\!65$$$$T^{16} -$$$$54\!\cdots\!50$$$$T^{18} +$$$$37\!\cdots\!49$$$$T^{20}$$)($$1 - 4190178 T^{2} + 8255172061705 T^{4} - 10209824219182076768 T^{6} +$$$$89\!\cdots\!30$$$$T^{8} -$$$$58\!\cdots\!68$$$$T^{10} +$$$$29\!\cdots\!70$$$$T^{12} -$$$$10\!\cdots\!48$$$$T^{14} +$$$$28\!\cdots\!45$$$$T^{16} -$$$$47\!\cdots\!38$$$$T^{18} +$$$$37\!\cdots\!49$$$$T^{20}$$)($$( 1 - 4942974 T^{2} + 11363740192453 T^{4} - 15995414453680765352 T^{6} +$$$$15\!\cdots\!10$$$$T^{8} -$$$$10\!\cdots\!68$$$$T^{10} +$$$$49\!\cdots\!90$$$$T^{12} -$$$$17\!\cdots\!72$$$$T^{14} +$$$$39\!\cdots\!77$$$$T^{16} -$$$$56\!\cdots\!54$$$$T^{18} +$$$$37\!\cdots\!49$$$$T^{20} )^{2}$$)($$( 1 - 432 T + 571787 T^{2} )^{2}$$)($$( 1 + 768 T + 571787 T^{2} )^{2}$$)($$( 1 - 1906 T + 2051733 T^{2} - 1089826022 T^{3} + 326940373369 T^{4} )^{2}$$)($$( 1 + 968 T + 1357022 T^{2} + 553489816 T^{3} + 326940373369 T^{4} )^{2}$$)($$( 1 - 508 T + 1655669 T^{2} - 550491384 T^{3} + 946690010503 T^{4} - 166085709671452 T^{5} + 186940255267540403 T^{6} )^{2}$$)($$( 1 - 840 T + 1394751 T^{2} - 1097470000 T^{3} + 1235101554942 T^{4} - 765253616219632 T^{5} + 706215012795621354 T^{6} -$$$$35\!\cdots\!00$$$$T^{7} +$$$$26\!\cdots\!53$$$$T^{8} -$$$$89\!\cdots\!40$$$$T^{9} +$$$$61\!\cdots\!07$$$$T^{10} )^{2}$$)($$( 1 - 1502 T + 2544639 T^{2} - 2916185966 T^{3} + 2925083074177 T^{4} - 2334912952153996 T^{5} + 1672524475734444299 T^{6} -$$$$95\!\cdots\!54$$$$T^{7} +$$$$47\!\cdots\!17$$$$T^{8} -$$$$16\!\cdots\!22$$$$T^{9} +$$$$61\!\cdots\!07$$$$T^{10} )^{2}$$)($$( 1 - 332 T + 1330763 T^{2} - 251179960 T^{3} + 1196075575498 T^{4} - 287374399354632 T^{5} + 683900465087274926 T^{6} - 82120869905210485240 T^{7} +$$$$24\!\cdots\!89$$$$T^{8} -$$$$35\!\cdots\!52$$$$T^{9} +$$$$61\!\cdots\!07$$$$T^{10} )^{2}$$)($$( 1 - 572 T + 1663056 T^{2} - 556682464 T^{3} + 1679293434604 T^{4} - 438868371219952 T^{5} + 1294225245352393684 T^{6} -$$$$24\!\cdots\!56$$$$T^{7} +$$$$79\!\cdots\!38$$$$T^{8} -$$$$14\!\cdots\!72$$$$T^{9} +$$$$42\!\cdots\!96$$$$T^{10} -$$$$82\!\cdots\!56$$$$T^{11} +$$$$17\!\cdots\!44$$$$T^{12} -$$$$34\!\cdots\!48$$$$T^{13} +$$$$58\!\cdots\!04$$$$T^{14} -$$$$11\!\cdots\!76$$$$T^{15} +$$$$11\!\cdots\!21$$$$T^{16} )^{2}$$)($$( 1 + 572 T + 1663056 T^{2} + 556682464 T^{3} + 1679293434604 T^{4} + 438868371219952 T^{5} + 1294225245352393684 T^{6} +$$$$24\!\cdots\!56$$$$T^{7} +$$$$79\!\cdots\!38$$$$T^{8} +$$$$14\!\cdots\!72$$$$T^{9} +$$$$42\!\cdots\!96$$$$T^{10} +$$$$82\!\cdots\!56$$$$T^{11} +$$$$17\!\cdots\!44$$$$T^{12} +$$$$34\!\cdots\!48$$$$T^{13} +$$$$58\!\cdots\!04$$$$T^{14} +$$$$11\!\cdots\!76$$$$T^{15} +$$$$11\!\cdots\!21$$$$T^{16} )^{2}$$)
$89$ ($$1 - 1038 T + 704969 T^{2}$$)($$1 + 1002 T + 704969 T^{2}$$)($$1 - 870 T + 704969 T^{2}$$)($$1 - 1038 T + 704969 T^{2}$$)($$1 - 1002 T + 704969 T^{2}$$)($$1 - 216 T + 1417730 T^{2} - 152273304 T^{3} + 496981290961 T^{4}$$)($$1 + 796 T + 411158 T^{2} + 561155324 T^{3} + 496981290961 T^{4}$$)($$1 + 72 T + 448286 T^{2} + 50757768 T^{3} + 496981290961 T^{4}$$)($$1 + 588 T + 1495334 T^{2} + 414521772 T^{3} + 496981290961 T^{4}$$)($$1 - 72 T + 448286 T^{2} - 50757768 T^{3} + 496981290961 T^{4}$$)($$1 - 1404 T + 1802390 T^{2} - 989776476 T^{3} + 496981290961 T^{4}$$)($$1 - 1332 T + 1790774 T^{2} - 939018708 T^{3} + 496981290961 T^{4}$$)($$1 + 36 T - 842170 T^{2} + 25378884 T^{3} + 496981290961 T^{4}$$)($$1 - 142 T + 1874695 T^{2} - 219867172 T^{3} + 1321601859455 T^{4} - 70571343316462 T^{5} + 350356403707485209 T^{6}$$)($$1 + 142 T + 1874695 T^{2} + 219867172 T^{3} + 1321601859455 T^{4} + 70571343316462 T^{5} + 350356403707485209 T^{6}$$)($$1 + 242 T + 1427227 T^{2} + 347564516 T^{3} + 1006150790963 T^{4} + 120269472412562 T^{5} + 350356403707485209 T^{6}$$)($$( 1 + 1308 T + 4166194 T^{2} + 3750521676 T^{3} + 7393553006128 T^{4} + 5339073820136148 T^{5} + 8513113318989657166 T^{6} +$$$$53\!\cdots\!60$$$$T^{7} +$$$$70\!\cdots\!42$$$$T^{8} +$$$$37\!\cdots\!40$$$$T^{9} +$$$$42\!\cdots\!26$$$$T^{10} +$$$$18\!\cdots\!32$$$$T^{11} +$$$$18\!\cdots\!88$$$$T^{12} +$$$$65\!\cdots\!24$$$$T^{13} +$$$$51\!\cdots\!14$$$$T^{14} +$$$$11\!\cdots\!12$$$$T^{15} +$$$$61\!\cdots\!41$$$$T^{16} )^{2}$$)($$( 1 - 1308 T + 4166194 T^{2} - 3750521676 T^{3} + 7393553006128 T^{4} - 5339073820136148 T^{5} + 8513113318989657166 T^{6} -$$$$53\!\cdots\!60$$$$T^{7} +$$$$70\!\cdots\!42$$$$T^{8} -$$$$37\!\cdots\!40$$$$T^{9} +$$$$42\!\cdots\!26$$$$T^{10} -$$$$18\!\cdots\!32$$$$T^{11} +$$$$18\!\cdots\!88$$$$T^{12} -$$$$65\!\cdots\!24$$$$T^{13} +$$$$51\!\cdots\!14$$$$T^{14} -$$$$11\!\cdots\!12$$$$T^{15} +$$$$61\!\cdots\!41$$$$T^{16} )^{2}$$)($$( 1 + 1938 T + 3246255 T^{2} + 2913932892 T^{3} + 2288509141095 T^{4} + 963149741882418 T^{5} + 350356403707485209 T^{6} )^{2}$$)($$( 1 - 286 T + 2177465 T^{2} - 600135040 T^{3} + 2162009088238 T^{4} - 560754412921604 T^{5} + 1524149384926054622 T^{6} -$$$$29\!\cdots\!40$$$$T^{7} +$$$$76\!\cdots\!85$$$$T^{8} -$$$$70\!\cdots\!06$$$$T^{9} +$$$$17\!\cdots\!49$$$$T^{10} )^{2}$$)($$( 1 - 746 T + 1733225 T^{2} + 126840160 T^{3} + 408516498430 T^{4} + 989188619900372 T^{5} + 287991467381698670 T^{6} + 63037186462499793760 T^{7} +$$$$60\!\cdots\!25$$$$T^{8} -$$$$18\!\cdots\!66$$$$T^{9} +$$$$17\!\cdots\!49$$$$T^{10} )^{2}$$)($$( 1 + 2982114 T^{2} + 3674489982301 T^{4} + 2479380283454047896 T^{6} +$$$$11\!\cdots\!66$$$$T^{8} +$$$$53\!\cdots\!40$$$$T^{10} +$$$$54\!\cdots\!26$$$$T^{12} +$$$$61\!\cdots\!16$$$$T^{14} +$$$$45\!\cdots\!81$$$$T^{16} +$$$$18\!\cdots\!74$$$$T^{18} +$$$$30\!\cdots\!01$$$$T^{20} )^{2}$$)($$1 + 234 T - 650213 T^{2} + 164962746 T^{3} + 496981290961 T^{4}$$)($$1 + 1194 T + 720667 T^{2} + 841732986 T^{3} + 496981290961 T^{4}$$)($$1 - 650 T - 883111 T^{2} + 67812550 T^{3} + 909789389860 T^{4} + 47805745560950 T^{5} - 438889644841859671 T^{6} -$$$$22\!\cdots\!50$$$$T^{7} +$$$$24\!\cdots\!21$$$$T^{8}$$)($$1 - 204 T + 809506 T^{2} + 444276912 T^{3} + 63335771235 T^{4} + 313201450375728 T^{5} + 402309336920675266 T^{6} - 71472706356326982636 T^{7} +$$$$24\!\cdots\!21$$$$T^{8}$$)($$1 - 42 T - 564775 T^{2} - 1322241414 T^{3} - 51158611474 T^{4} + 380486119106214 T^{5} + 895055750746202909 T^{6} +$$$$26\!\cdots\!66$$$$T^{7} -$$$$25\!\cdots\!14$$$$T^{8} -$$$$46\!\cdots\!26$$$$T^{9} -$$$$13\!\cdots\!75$$$$T^{10} -$$$$73\!\cdots\!58$$$$T^{11} +$$$$12\!\cdots\!81$$$$T^{12}$$)($$1 + 2978 T + 2191615 T^{2} + 357555834 T^{3} + 3692071571515 T^{4} + 5614366883406660 T^{5} + 955110819277629838 T^{6} +$$$$88\!\cdots\!84$$$$T^{7} +$$$$51\!\cdots\!73$$$$T^{8} +$$$$27\!\cdots\!42$$$$T^{9} -$$$$42\!\cdots\!91$$$$T^{10} +$$$$19\!\cdots\!98$$$$T^{11} +$$$$25\!\cdots\!53$$$$T^{12} +$$$$30\!\cdots\!56$$$$T^{13} +$$$$23\!\cdots\!98$$$$T^{14} +$$$$97\!\cdots\!40$$$$T^{15} +$$$$45\!\cdots\!15$$$$T^{16} +$$$$30\!\cdots\!26$$$$T^{17} +$$$$13\!\cdots\!15$$$$T^{18} +$$$$12\!\cdots\!62$$$$T^{19} +$$$$30\!\cdots\!01$$$$T^{20}$$)($$1 - 2322 T + 885553 T^{2} + 27254778 T^{3} + 2336719735260 T^{4} - 1546137721242198 T^{5} - 1544579435132215297 T^{6} +$$$$76\!\cdots\!66$$$$T^{7} +$$$$50\!\cdots\!63$$$$T^{8} +$$$$79\!\cdots\!44$$$$T^{9} -$$$$15\!\cdots\!20$$$$T^{10} +$$$$55\!\cdots\!36$$$$T^{11} +$$$$24\!\cdots\!43$$$$T^{12} +$$$$26\!\cdots\!94$$$$T^{13} -$$$$38\!\cdots\!37$$$$T^{14} -$$$$26\!\cdots\!02$$$$T^{15} +$$$$28\!\cdots\!60$$$$T^{16} +$$$$23\!\cdots\!42$$$$T^{17} +$$$$54\!\cdots\!73$$$$T^{18} -$$$$99\!\cdots\!38$$$$T^{19} +$$$$30\!\cdots\!01$$$$T^{20}$$)($$1 - 894 T - 1501253 T^{2} + 1203783426 T^{3} + 1217576227911 T^{4} - 488918737763772 T^{5} - 941190453323848894 T^{6} -$$$$20\!\cdots\!20$$$$T^{7} +$$$$93\!\cdots\!81$$$$T^{8} +$$$$16\!\cdots\!42$$$$T^{9} -$$$$80\!\cdots\!11$$$$T^{10} +$$$$11\!\cdots\!98$$$$T^{11} +$$$$46\!\cdots\!41$$$$T^{12} -$$$$70\!\cdots\!80$$$$T^{13} -$$$$23\!\cdots\!74$$$$T^{14} -$$$$85\!\cdots\!28$$$$T^{15} +$$$$14\!\cdots\!91$$$$T^{16} +$$$$10\!\cdots\!14$$$$T^{17} -$$$$91\!\cdots\!73$$$$T^{18} -$$$$38\!\cdots\!26$$$$T^{19} +$$$$30\!\cdots\!01$$$$T^{20}$$)($$1 + 940 T - 3656492 T^{2} - 1727213808 T^{3} + 9165484987432 T^{4} + 1362694817704920 T^{5} - 14629639282772761360 T^{6} +$$$$20\!\cdots\!76$$$$T^{7} +$$$$17\!\cdots\!86$$$$T^{8} -$$$$60\!\cdots\!24$$$$T^{9} -$$$$14\!\cdots\!84$$$$T^{10} +$$$$78\!\cdots\!28$$$$T^{11} +$$$$85\!\cdots\!68$$$$T^{12} -$$$$56\!\cdots\!56$$$$T^{13} -$$$$36\!\cdots\!12$$$$T^{14} +$$$$17\!\cdots\!00$$$$T^{15} +$$$$17\!\cdots\!35$$$$T^{16} +$$$$12\!\cdots\!00$$$$T^{17} -$$$$17\!\cdots\!32$$$$T^{18} -$$$$19\!\cdots\!04$$$$T^{19} +$$$$21\!\cdots\!28$$$$T^{20} +$$$$13\!\cdots\!72$$$$T^{21} -$$$$17\!\cdots\!04$$$$T^{22} -$$$$52\!\cdots\!36$$$$T^{23} +$$$$10\!\cdots\!26$$$$T^{24} +$$$$90\!\cdots\!04$$$$T^{25} -$$$$44\!\cdots\!60$$$$T^{26} +$$$$29\!\cdots\!80$$$$T^{27} +$$$$13\!\cdots\!52$$$$T^{28} -$$$$18\!\cdots\!72$$$$T^{29} -$$$$27\!\cdots\!32$$$$T^{30} +$$$$49\!\cdots\!60$$$$T^{31} +$$$$37\!\cdots\!81$$$$T^{32}$$)($$1 - 940 T - 3656492 T^{2} + 1727213808 T^{3} + 9165484987432 T^{4} - 1362694817704920 T^{5} - 14629639282772761360 T^{6} -$$$$20\!\cdots\!76$$$$T^{7} +$$$$17\!\cdots\!86$$$$T^{8} +$$$$60\!\cdots\!24$$$$T^{9} -$$$$14\!\cdots\!84$$$$T^{10} -$$$$78\!\cdots\!28$$$$T^{11} +$$$$85\!\cdots\!68$$$$T^{12} +$$$$56\!\cdots\!56$$$$T^{13} -$$$$36\!\cdots\!12$$$$T^{14} -$$$$17\!\cdots\!00$$$$T^{15} +$$$$17\!\cdots\!35$$$$T^{16} -$$$$12\!\cdots\!00$$$$T^{17} -$$$$17\!\cdots\!32$$$$T^{18} +$$$$19\!\cdots\!04$$$$T^{19} +$$$$21\!\cdots\!28$$$$T^{20} -$$$$13\!\cdots\!72$$$$T^{21} -$$$$17\!\cdots\!04$$$$T^{22} +$$$$52\!\cdots\!36$$$$T^{23} +$$$$10\!\cdots\!26$$$$T^{24} -$$$$90\!\cdots\!04$$$$T^{25} -$$$$44\!\cdots\!60$$$$T^{26} -$$$$29\!\cdots\!80$$$$T^{27} +$$$$13\!\cdots\!52$$$$T^{28} +$$$$18\!\cdots\!72$$$$T^{29} -$$$$27\!\cdots\!32$$$$T^{30} -$$$$49\!\cdots\!60$$$$T^{31} +$$$$37\!\cdots\!81$$$$T^{32}$$)
$97$ ($$1 + 702 T + 912673 T^{2}$$)($$1 - 1442 T + 912673 T^{2}$$)($$1 - 1026 T + 912673 T^{2}$$)($$1 - 1208 T + 912673 T^{2}$$)($$1 - 1442 T + 912673 T^{2}$$)($$1 - 2742 T + 3608187 T^{2} - 2502549366 T^{3} + 832972004929 T^{4}$$)($$1 + 670 T + 1145410 T^{2} + 611490910 T^{3} + 832972004929 T^{4}$$)($$1 - 1626 T + 1498938 T^{2} - 1484006298 T^{3} + 832972004929 T^{4}$$)($$1 - 522 T + 291282 T^{2} - 476415306 T^{3} + 832972004929 T^{4}$$)($$1 - 1626 T + 1498938 T^{2} - 1484006298 T^{3} + 832972004929 T^{4}$$)($$1 + 1188 T + 2161254 T^{2} + 1084255524 T^{3} + 832972004929 T^{4}$$)($$1 + 2448 T + 3286542 T^{2} + 2234223504 T^{3} + 832972004929 T^{4}$$)($$1 + 498 T + 1796754 T^{2} + 454511154 T^{3} + 832972004929 T^{4}$$)($$1 + 3052 T + 5048255 T^{2} + 5775117464 T^{3} + 4607406035615 T^{4} + 2542230559043308 T^{5} + 760231058654565217 T^{6}$$)($$1 + 3052 T + 5048255 T^{2} + 5775117464 T^{3} + 4607406035615 T^{4} + 2542230559043308 T^{5} + 760231058654565217 T^{6}$$)($$1 - 100 T + 2266056 T^{2} - 184512618 T^{3} + 2068168127688 T^{4} - 83297200492900 T^{5} + 760231058654565217 T^{6}$$)($$1 - 7559728 T^{2} + 28596249198744 T^{4} - 72647023569383030672 T^{6} +$$$$13\!\cdots\!80$$$$T^{8} -$$$$21\!\cdots\!00$$$$T^{10} +$$$$27\!\cdots\!60$$$$T^{12} -$$$$31\!\cdots\!92$$$$T^{14} +$$$$30\!\cdots\!22$$$$T^{16} -$$$$25\!\cdots\!68$$$$T^{18} +$$$$19\!\cdots\!60$$$$T^{20} -$$$$12\!\cdots\!00$$$$T^{22} +$$$$67\!\cdots\!80$$$$T^{24} -$$$$29\!\cdots\!28$$$$T^{26} +$$$$95\!\cdots\!24$$$$T^{28} -$$$$21\!\cdots\!52$$$$T^{30} +$$$$23\!\cdots\!61$$$$T^{32}$$)($$1 - 7559728 T^{2} + 28596249198744 T^{4} - 72647023569383030672 T^{6} +$$$$13\!\cdots\!80$$$$T^{8} -$$$$21\!\cdots\!00$$$$T^{10} +$$$$27\!\cdots\!60$$$$T^{12} -$$$$31\!\cdots\!92$$$$T^{14} +$$$$30\!\cdots\!22$$$$T^{16} -$$$$25\!\cdots\!68$$$$T^{18} +$$$$19\!\cdots\!60$$$$T^{20} -$$$$12\!\cdots\!00$$$$T^{22} +$$$$67\!\cdots\!80$$$$T^{24} -$$$$29\!\cdots\!28$$$$T^{26} +$$$$95\!\cdots\!24$$$$T^{28} -$$$$21\!\cdots\!52$$$$T^{30} +$$$$23\!\cdots\!61$$$$T^{32}$$)($$1 - 3336954 T^{2} + 5694689958159 T^{4} - 6336320517980710252 T^{6} +$$$$47\!\cdots\!11$$$$T^{8} -$$$$23\!\cdots\!14$$$$T^{10} +$$$$57\!\cdots\!89$$$$T^{12}$$)($$1 - 6782134 T^{2} + 21944276999789 T^{4} - 44851979434890226824 T^{6} +$$$$64\!\cdots\!18$$$$T^{8} -$$$$68\!\cdots\!04$$$$T^{10} +$$$$53\!\cdots\!22$$$$T^{12} -$$$$31\!\cdots\!84$$$$T^{14} +$$$$12\!\cdots\!21$$$$T^{16} -$$$$32\!\cdots\!54$$$$T^{18} +$$$$40\!\cdots\!49$$$$T^{20}$$)($$1 - 7632832 T^{2} + 27232168586510 T^{4} - 59864233929174443022 T^{6} +$$$$89\!\cdots\!65$$$$T^{8} -$$$$96\!\cdots\!52$$$$T^{10} +$$$$74\!\cdots\!85$$$$T^{12} -$$$$41\!\cdots\!02$$$$T^{14} +$$$$15\!\cdots\!90$$$$T^{16} -$$$$36\!\cdots\!92$$$$T^{18} +$$$$40\!\cdots\!49$$$$T^{20}$$)($$( 1 - 4159066 T^{2} + 10131431006765 T^{4} - 17265124613208617592 T^{6} +$$$$22\!\cdots\!86$$$$T^{8} -$$$$22\!\cdots\!88$$$$T^{10} +$$$$18\!\cdots\!94$$$$T^{12} -$$$$11\!\cdots\!72$$$$T^{14} +$$$$58\!\cdots\!85$$$$T^{16} -$$$$20\!\cdots\!46$$$$T^{18} +$$$$40\!\cdots\!49$$$$T^{20} )^{2}$$)($$( 1 - 1352 T + 912673 T^{2} )^{2}$$)($$( 1 - 902 T + 912673 T^{2} )^{2}$$)($$( 1 + 628 T + 1423942 T^{2} + 573158644 T^{3} + 832972004929 T^{4} )^{2}$$)($$( 1 - 1692 T + 1457670 T^{2} - 1544242716 T^{3} + 832972004929 T^{4} )^{2}$$)($$( 1 + 1020 T + 828679 T^{2} - 17707848 T^{3} + 756312948967 T^{4} + 849631445027580 T^{5} + 760231058654565217 T^{6} )^{2}$$)($$( 1 + 2168 T + 2916885 T^{2} + 2446774560 T^{3} + 2052444429082 T^{4} + 1555642076834128 T^{5} + 1873210614423556186 T^{6} +$$$$20\!\cdots\!40$$$$T^{7} +$$$$22\!\cdots\!45$$$$T^{8} +$$$$15\!\cdots\!88$$$$T^{9} +$$$$63\!\cdots\!93$$$$T^{10} )^{2}$$)($$( 1 - 598 T + 4425037 T^{2} - 2054168072 T^{3} + 7929732195026 T^{4} - 2752469564393540 T^{5} + 7237252471630964498 T^{6} -$$$$17\!\cdots\!88$$$$T^{7} +$$$$33\!\cdots\!29$$$$T^{8} -$$$$41\!\cdots\!18$$$$T^{9} +$$$$63\!\cdots\!93$$$$T^{10} )^{2}$$)($$( 1 + 576 T + 2417013 T^{2} + 1510894720 T^{3} + 3259586132218 T^{4} + 2005403804499072 T^{5} + 2974936254049798714 T^{6} +$$$$12\!\cdots\!80$$$$T^{7} +$$$$18\!\cdots\!21$$$$T^{8} +$$$$39\!\cdots\!16$$$$T^{9} +$$$$63\!\cdots\!93$$$$T^{10} )^{2}$$)($$( 1 + 1720 T + 6280496 T^{2} + 8144461824 T^{3} + 17321657778316 T^{4} + 18179360064462544 T^{5} + 28729360926077794080 T^{6} +$$$$25\!\cdots\!52$$$$T^{7} +$$$$31\!\cdots\!46$$$$T^{8} +$$$$22\!\cdots\!96$$$$T^{9} +$$$$23\!\cdots\!20$$$$T^{10} +$$$$13\!\cdots\!48$$$$T^{11} +$$$$12\!\cdots\!56$$$$T^{12} +$$$$51\!\cdots\!32$$$$T^{13} +$$$$36\!\cdots\!44$$$$T^{14} +$$$$90\!\cdots\!40$$$$T^{15} +$$$$48\!\cdots\!81$$$$T^{16} )^{2}$$)($$( 1 + 1720 T + 6280496 T^{2} + 8144461824 T^{3} + 17321657778316 T^{4} + 18179360064462544 T^{5} + 28729360926077794080 T^{6} +$$$$25\!\cdots\!52$$$$T^{7} +$$$$31\!\cdots\!46$$$$T^{8} +$$$$22\!\cdots\!96$$$$T^{9} +$$$$23\!\cdots\!20$$$$T^{10} +$$$$13\!\cdots\!48$$$$T^{11} +$$$$12\!\cdots\!56$$$$T^{12} +$$$$51\!\cdots\!32$$$$T^{13} +$$$$36\!\cdots\!44$$$$T^{14} +$$$$90\!\cdots\!40$$$$T^{15} +$$$$48\!\cdots\!81$$$$T^{16} )^{2}$$)