# Properties

 Label 2166.4 Level 2166 Weight 4 Dimension 96931 Nonzero newspaces 12 Sturm bound 1039680 Trace bound 3

## Defining parameters

 Level: $$N$$ = $$2166\( 2166 = 2 \cdot 3 \cdot 19^{2}$$ \) Weight: $$k$$ = $$4$$ Nonzero newspaces: $$12$$ Sturm bound: $$1039680$$ Trace bound: $$3$$

## Dimensions

The following table gives the dimensions of various subspaces of $$M_{4}(\Gamma_1(2166))$$.

Total New Old
Modular forms 391896 96931 294965
Cusp forms 387864 96931 290933
Eisenstein series 4032 0 4032

## Trace form

 $$96931q - 2q^{2} - 3q^{3} + 4q^{4} + 6q^{5} + 6q^{6} - 16q^{7} - 8q^{8} + 9q^{9} + O(q^{10})$$ $$96931q - 2q^{2} - 3q^{3} + 4q^{4} + 6q^{5} + 6q^{6} - 16q^{7} - 8q^{8} + 9q^{9} - 12q^{10} + 12q^{11} + 276q^{12} + 1190q^{13} + 176q^{14} - 450q^{15} + 16q^{16} - 1278q^{17} - 18q^{18} - 1512q^{19} - 1128q^{20} - 960q^{21} - 672q^{22} + 312q^{23} + 24q^{24} + 3367q^{25} + 2660q^{26} + 1935q^{27} + 1664q^{28} + 2550q^{29} + 36q^{30} + 272q^{31} - 32q^{32} - 1872q^{33} + 252q^{34} - 4560q^{35} + 36q^{36} - 2410q^{37} - 3894q^{39} - 48q^{40} - 1758q^{41} - 96q^{42} - 1060q^{43} + 48q^{44} - 6102q^{45} - 336q^{46} + 3720q^{47} - 336q^{48} + 6753q^{49} + 178q^{50} + 7668q^{51} + 152q^{52} + 198q^{53} + 5454q^{54} + 72q^{55} + 128q^{56} + 5040q^{57} - 60q^{58} - 660q^{59} + 3096q^{60} + 2702q^{61} + 176q^{62} + 2844q^{63} + 64q^{64} + 2748q^{65} - 4824q^{66} + 452q^{67} - 504q^{68} - 11304q^{69} + 192q^{70} - 3168q^{71} - 3384q^{72} - 7234q^{73} - 508q^{74} - 6033q^{75} + 9816q^{77} + 13044q^{78} + 9920q^{79} + 96q^{80} + 12753q^{81} + 8844q^{82} + 6348q^{83} + 1920q^{84} - 1908q^{85} - 3064q^{86} - 6930q^{87} - 96q^{88} - 5310q^{89} - 13428q^{90} - 8384q^{91} - 12000q^{92} - 23460q^{93} - 26880q^{94} - 10152q^{95} + 96q^{96} - 17854q^{97} - 23442q^{98} - 33426q^{99} + O(q^{100})$$

## Decomposition of $$S_{4}^{\mathrm{new}}(\Gamma_1(2166))$$

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
2166.4.a $$\chi_{2166}(1, \cdot)$$ 2166.4.a.a 1 1
2166.4.a.b 1
2166.4.a.c 1
2166.4.a.d 1
2166.4.a.e 1
2166.4.a.f 1
2166.4.a.g 1
2166.4.a.h 1
2166.4.a.i 1
2166.4.a.j 2
2166.4.a.k 2
2166.4.a.l 2
2166.4.a.m 2
2166.4.a.n 2
2166.4.a.o 2
2166.4.a.p 2
2166.4.a.q 2
2166.4.a.r 3
2166.4.a.s 3
2166.4.a.t 3
2166.4.a.u 3
2166.4.a.v 3
2166.4.a.w 3
2166.4.a.x 4
2166.4.a.y 4
2166.4.a.z 4
2166.4.a.ba 4
2166.4.a.bb 6
2166.4.a.bc 6
2166.4.a.bd 6
2166.4.a.be 6
2166.4.a.bf 6
2166.4.a.bg 6
2166.4.a.bh 8
2166.4.a.bi 8
2166.4.a.bj 9
2166.4.a.bk 9
2166.4.a.bl 9
2166.4.a.bm 9
2166.4.a.bn 12
2166.4.a.bo 12
2166.4.b $$\chi_{2166}(2165, \cdot)$$ n/a 340 1
2166.4.e $$\chi_{2166}(1375, \cdot)$$ n/a 340 2
2166.4.h $$\chi_{2166}(293, \cdot)$$ n/a 680 2
2166.4.i $$\chi_{2166}(415, \cdot)$$ n/a 1020 6
2166.4.l $$\chi_{2166}(299, \cdot)$$ n/a 2040 6
2166.4.m $$\chi_{2166}(115, \cdot)$$ n/a 3420 18
2166.4.p $$\chi_{2166}(113, \cdot)$$ n/a 6840 18
2166.4.q $$\chi_{2166}(7, \cdot)$$ n/a 6840 36
2166.4.r $$\chi_{2166}(65, \cdot)$$ n/a 13680 36
2166.4.u $$\chi_{2166}(25, \cdot)$$ n/a 20520 108
2166.4.v $$\chi_{2166}(29, \cdot)$$ n/a 41040 108

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

## Decomposition of $$S_{4}^{\mathrm{old}}(\Gamma_1(2166))$$ into lower level spaces

$$S_{4}^{\mathrm{old}}(\Gamma_1(2166)) \cong$$ $$S_{4}^{\mathrm{new}}(\Gamma_1(6))$$$$^{\oplus 3}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(19))$$$$^{\oplus 8}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(38))$$$$^{\oplus 4}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(57))$$$$^{\oplus 4}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(114))$$$$^{\oplus 2}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(361))$$$$^{\oplus 4}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(722))$$$$^{\oplus 2}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(1083))$$$$^{\oplus 2}$$

## Hecke characteristic polynomials

$p$ $F_p(T)$
$2$ ($$1 + 2 T$$)($$1 + 2 T$$)($$1 + 2 T$$)($$1 - 2 T$$)($$1 - 2 T$$)($$1 - 2 T$$)($$1 - 2 T$$)($$1 - 2 T$$)($$1 - 2 T$$)($$( 1 + 2 T )^{2}$$)($$( 1 + 2 T )^{2}$$)($$( 1 + 2 T )^{2}$$)($$( 1 + 2 T )^{2}$$)($$( 1 + 2 T )^{2}$$)($$( 1 - 2 T )^{2}$$)($$( 1 - 2 T )^{2}$$)($$( 1 - 2 T )^{2}$$)($$( 1 + 2 T )^{3}$$)($$( 1 + 2 T )^{3}$$)($$( 1 + 2 T )^{3}$$)($$( 1 - 2 T )^{3}$$)($$( 1 - 2 T )^{3}$$)($$( 1 - 2 T )^{3}$$)($$( 1 + 2 T )^{4}$$)($$( 1 + 2 T )^{4}$$)($$( 1 - 2 T )^{4}$$)($$( 1 - 2 T )^{4}$$)($$( 1 + 2 T )^{6}$$)($$( 1 + 2 T )^{6}$$)($$( 1 + 2 T )^{6}$$)($$( 1 - 2 T )^{6}$$)($$( 1 - 2 T )^{6}$$)($$( 1 - 2 T )^{6}$$)($$( 1 + 2 T )^{8}$$)($$( 1 - 2 T )^{8}$$)($$( 1 + 2 T )^{9}$$)($$( 1 + 2 T )^{9}$$)($$( 1 - 2 T )^{9}$$)($$( 1 - 2 T )^{9}$$)($$( 1 + 2 T )^{12}$$)($$( 1 - 2 T )^{12}$$)
$3$ ($$1 - 3 T$$)($$1 - 3 T$$)($$1 - 3 T$$)($$1 + 3 T$$)($$1 + 3 T$$)($$1 + 3 T$$)($$1 + 3 T$$)($$1 - 3 T$$)($$1 - 3 T$$)($$( 1 + 3 T )^{2}$$)($$( 1 + 3 T )^{2}$$)($$( 1 + 3 T )^{2}$$)($$( 1 - 3 T )^{2}$$)($$( 1 - 3 T )^{2}$$)($$( 1 + 3 T )^{2}$$)($$( 1 - 3 T )^{2}$$)($$( 1 - 3 T )^{2}$$)($$( 1 + 3 T )^{3}$$)($$( 1 + 3 T )^{3}$$)($$( 1 - 3 T )^{3}$$)($$( 1 + 3 T )^{3}$$)($$( 1 - 3 T )^{3}$$)($$( 1 - 3 T )^{3}$$)($$( 1 + 3 T )^{4}$$)($$( 1 - 3 T )^{4}$$)($$( 1 + 3 T )^{4}$$)($$( 1 - 3 T )^{4}$$)($$( 1 + 3 T )^{6}$$)($$( 1 - 3 T )^{6}$$)($$( 1 - 3 T )^{6}$$)($$( 1 + 3 T )^{6}$$)($$( 1 + 3 T )^{6}$$)($$( 1 - 3 T )^{6}$$)($$( 1 - 3 T )^{8}$$)($$( 1 + 3 T )^{8}$$)($$( 1 + 3 T )^{9}$$)($$( 1 - 3 T )^{9}$$)($$( 1 + 3 T )^{9}$$)($$( 1 - 3 T )^{9}$$)($$( 1 + 3 T )^{12}$$)($$( 1 - 3 T )^{12}$$)
$5$ ($$1 + 11 T + 125 T^{2}$$)($$1 + 6 T + 125 T^{2}$$)($$1 - 2 T + 125 T^{2}$$)($$1 + 7 T + 125 T^{2}$$)($$1 + 6 T + 125 T^{2}$$)($$1 - 2 T + 125 T^{2}$$)($$1 - 12 T + 125 T^{2}$$)($$1 + 19 T + 125 T^{2}$$)($$1 - 6 T + 125 T^{2}$$)($$1 + 13 T + 261 T^{2} + 1625 T^{3} + 15625 T^{4}$$)($$1 - 8 T + 146 T^{2} - 1000 T^{3} + 15625 T^{4}$$)($$1 - 11 T + 212 T^{2} - 1375 T^{3} + 15625 T^{4}$$)($$1 + 15 T + 228 T^{2} + 1875 T^{3} + 15625 T^{4}$$)($$1 - 18 T + 178 T^{2} - 2250 T^{3} + 15625 T^{4}$$)($$1 + 15 T + 228 T^{2} + 1875 T^{3} + 15625 T^{4}$$)($$1 + 13 T + 261 T^{2} + 1625 T^{3} + 15625 T^{4}$$)($$1 - 8 T + 146 T^{2} - 1000 T^{3} + 15625 T^{4}$$)($$1 + 5 T + 59 T^{2} - 42 T^{3} + 7375 T^{4} + 78125 T^{5} + 1953125 T^{6}$$)($$1 - 2 T + 75 T^{2} - 1868 T^{3} + 9375 T^{4} - 31250 T^{5} + 1953125 T^{6}$$)($$1 - 10 T + 279 T^{2} - 1996 T^{3} + 34875 T^{4} - 156250 T^{5} + 1953125 T^{6}$$)($$1 - 10 T + 279 T^{2} - 1996 T^{3} + 34875 T^{4} - 156250 T^{5} + 1953125 T^{6}$$)($$1 + 5 T + 59 T^{2} - 42 T^{3} + 7375 T^{4} + 78125 T^{5} + 1953125 T^{6}$$)($$1 - 2 T + 75 T^{2} - 1868 T^{3} + 9375 T^{4} - 31250 T^{5} + 1953125 T^{6}$$)($$1 + 28 T + 595 T^{2} + 9086 T^{3} + 117519 T^{4} + 1135750 T^{5} + 9296875 T^{6} + 54687500 T^{7} + 244140625 T^{8}$$)($$1 + 197 T^{2} - 120 T^{3} + 39481 T^{4} - 15000 T^{5} + 3078125 T^{6} + 244140625 T^{8}$$)($$1 + 197 T^{2} - 120 T^{3} + 39481 T^{4} - 15000 T^{5} + 3078125 T^{6} + 244140625 T^{8}$$)($$1 + 28 T + 595 T^{2} + 9086 T^{3} + 117519 T^{4} + 1135750 T^{5} + 9296875 T^{6} + 54687500 T^{7} + 244140625 T^{8}$$)($$1 + 3 T + 555 T^{2} + 1966 T^{3} + 142680 T^{4} + 499842 T^{5} + 22186501 T^{6} + 62480250 T^{7} + 2229375000 T^{8} + 3839843750 T^{9} + 135498046875 T^{10} + 91552734375 T^{11} + 3814697265625 T^{12}$$)($$1 + T + 104 T^{2} - 2774 T^{3} + 10653 T^{4} - 125210 T^{5} + 5503489 T^{6} - 15651250 T^{7} + 166453125 T^{8} - 5417968750 T^{9} + 25390625000 T^{10} + 30517578125 T^{11} + 3814697265625 T^{12}$$)($$1 - 27 T + 807 T^{2} - 13738 T^{3} + 238122 T^{4} - 2995818 T^{5} + 38234581 T^{6} - 374477250 T^{7} + 3720656250 T^{8} - 26832031250 T^{9} + 197021484375 T^{10} - 823974609375 T^{11} + 3814697265625 T^{12}$$)($$1 + T + 104 T^{2} - 2774 T^{3} + 10653 T^{4} - 125210 T^{5} + 5503489 T^{6} - 15651250 T^{7} + 166453125 T^{8} - 5417968750 T^{9} + 25390625000 T^{10} + 30517578125 T^{11} + 3814697265625 T^{12}$$)($$1 - 27 T + 807 T^{2} - 13738 T^{3} + 238122 T^{4} - 2995818 T^{5} + 38234581 T^{6} - 374477250 T^{7} + 3720656250 T^{8} - 26832031250 T^{9} + 197021484375 T^{10} - 823974609375 T^{11} + 3814697265625 T^{12}$$)($$1 + 3 T + 555 T^{2} + 1966 T^{3} + 142680 T^{4} + 499842 T^{5} + 22186501 T^{6} + 62480250 T^{7} + 2229375000 T^{8} + 3839843750 T^{9} + 135498046875 T^{10} + 91552734375 T^{11} + 3814697265625 T^{12}$$)($$1 + 30 T + 752 T^{2} + 15240 T^{3} + 264329 T^{4} + 4199310 T^{5} + 59170848 T^{6} + 750202620 T^{7} + 8864770341 T^{8} + 93775327500 T^{9} + 924544500000 T^{10} + 8201777343750 T^{11} + 64533447265625 T^{12} + 465087890625000 T^{13} + 2868652343750000 T^{14} + 14305114746093750 T^{15} + 59604644775390625 T^{16}$$)($$1 + 30 T + 752 T^{2} + 15240 T^{3} + 264329 T^{4} + 4199310 T^{5} + 59170848 T^{6} + 750202620 T^{7} + 8864770341 T^{8} + 93775327500 T^{9} + 924544500000 T^{10} + 8201777343750 T^{11} + 64533447265625 T^{12} + 465087890625000 T^{13} + 2868652343750000 T^{14} + 14305114746093750 T^{15} + 59604644775390625 T^{16}$$)($$1 - 27 T + 840 T^{2} - 17525 T^{3} + 350286 T^{4} - 5767047 T^{5} + 89206837 T^{6} - 1226193885 T^{7} + 15626221740 T^{8} - 181203154664 T^{9} + 1953277717500 T^{10} - 19159279453125 T^{11} + 174232103515625 T^{12} - 1407970458984375 T^{13} + 10689880371093750 T^{14} - 66852569580078125 T^{15} + 400543212890625000 T^{16} - 1609325408935546875 T^{17} + 7450580596923828125 T^{18}$$)($$1 + 3 T + 372 T^{2} + 2821 T^{3} + 92040 T^{4} + 706227 T^{5} + 19651227 T^{6} + 130840425 T^{7} + 2929450728 T^{8} + 20271270664 T^{9} + 366181341000 T^{10} + 2044381640625 T^{11} + 38381302734375 T^{12} + 172418701171875 T^{13} + 2808837890625000 T^{14} + 10761260986328125 T^{15} + 177383422851562500 T^{16} + 178813934326171875 T^{17} + 7450580596923828125 T^{18}$$)($$1 + 3 T + 372 T^{2} + 2821 T^{3} + 92040 T^{4} + 706227 T^{5} + 19651227 T^{6} + 130840425 T^{7} + 2929450728 T^{8} + 20271270664 T^{9} + 366181341000 T^{10} + 2044381640625 T^{11} + 38381302734375 T^{12} + 172418701171875 T^{13} + 2808837890625000 T^{14} + 10761260986328125 T^{15} + 177383422851562500 T^{16} + 178813934326171875 T^{17} + 7450580596923828125 T^{18}$$)($$1 - 27 T + 840 T^{2} - 17525 T^{3} + 350286 T^{4} - 5767047 T^{5} + 89206837 T^{6} - 1226193885 T^{7} + 15626221740 T^{8} - 181203154664 T^{9} + 1953277717500 T^{10} - 19159279453125 T^{11} + 174232103515625 T^{12} - 1407970458984375 T^{13} + 10689880371093750 T^{14} - 66852569580078125 T^{15} + 400543212890625000 T^{16} - 1609325408935546875 T^{17} + 7450580596923828125 T^{18}$$)($$1 - 10 T + 431 T^{2} - 458 T^{3} + 82126 T^{4} + 277024 T^{5} + 17931670 T^{6} + 57373756 T^{7} + 3044009363 T^{8} + 16079730416 T^{9} + 419720439794 T^{10} + 2383233857732 T^{11} + 58707615963571 T^{12} + 297904232216500 T^{13} + 6558131871781250 T^{14} + 31405723468750000 T^{15} + 743166348388671875 T^{16} + 1750908081054687500 T^{17} + 68403892517089843750 T^{18} +$$$$13\!\cdots\!00$$$$T^{19} +$$$$48\!\cdots\!50$$$$T^{20} -$$$$34\!\cdots\!50$$$$T^{21} +$$$$40\!\cdots\!75$$$$T^{22} -$$$$11\!\cdots\!50$$$$T^{23} +$$$$14\!\cdots\!25$$$$T^{24}$$)($$1 - 10 T + 431 T^{2} - 458 T^{3} + 82126 T^{4} + 277024 T^{5} + 17931670 T^{6} + 57373756 T^{7} + 3044009363 T^{8} + 16079730416 T^{9} + 419720439794 T^{10} + 2383233857732 T^{11} + 58707615963571 T^{12} + 297904232216500 T^{13} + 6558131871781250 T^{14} + 31405723468750000 T^{15} + 743166348388671875 T^{16} + 1750908081054687500 T^{17} + 68403892517089843750 T^{18} +$$$$13\!\cdots\!00$$$$T^{19} +$$$$48\!\cdots\!50$$$$T^{20} -$$$$34\!\cdots\!50$$$$T^{21} +$$$$40\!\cdots\!75$$$$T^{22} -$$$$11\!\cdots\!50$$$$T^{23} +$$$$14\!\cdots\!25$$$$T^{24}$$)
$7$ ($$1 + 15 T + 343 T^{2}$$)($$1 - 19 T + 343 T^{2}$$)($$1 + 21 T + 343 T^{2}$$)($$1 + 15 T + 343 T^{2}$$)($$1 - 19 T + 343 T^{2}$$)($$1 + 21 T + 343 T^{2}$$)($$1 - 4 T + 343 T^{2}$$)($$1 - 9 T + 343 T^{2}$$)($$1 + 16 T + 343 T^{2}$$)($$1 + 17 T + 697 T^{2} + 5831 T^{3} + 117649 T^{4}$$)($$1 - 18 T + 647 T^{2} - 6174 T^{3} + 117649 T^{4}$$)($$1 - 9 T + 638 T^{2} - 3087 T^{3} + 117649 T^{4}$$)($$1 - 9 T + 2 T^{2} - 3087 T^{3} + 117649 T^{4}$$)($$1 - 4 T + 78 T^{2} - 1372 T^{3} + 117649 T^{4}$$)($$1 - 9 T + 2 T^{2} - 3087 T^{3} + 117649 T^{4}$$)($$1 + 17 T + 697 T^{2} + 5831 T^{3} + 117649 T^{4}$$)($$1 - 18 T + 647 T^{2} - 6174 T^{3} + 117649 T^{4}$$)($$1 + 11 T + 549 T^{2} + 7402 T^{3} + 188307 T^{4} + 1294139 T^{5} + 40353607 T^{6}$$)($$1 + 17 T + 88 T^{2} - 6791 T^{3} + 30184 T^{4} + 2000033 T^{5} + 40353607 T^{6}$$)($$1 - 7 T + 916 T^{2} - 4403 T^{3} + 314188 T^{4} - 823543 T^{5} + 40353607 T^{6}$$)($$1 - 7 T + 916 T^{2} - 4403 T^{3} + 314188 T^{4} - 823543 T^{5} + 40353607 T^{6}$$)($$1 + 11 T + 549 T^{2} + 7402 T^{3} + 188307 T^{4} + 1294139 T^{5} + 40353607 T^{6}$$)($$1 + 17 T + 88 T^{2} - 6791 T^{3} + 30184 T^{4} + 2000033 T^{5} + 40353607 T^{6}$$)($$1 + 17 T + 1347 T^{2} + 17397 T^{3} + 688888 T^{4} + 5967171 T^{5} + 158473203 T^{6} + 686011319 T^{7} + 13841287201 T^{8}$$)($$1 - 28 T + 1303 T^{2} - 24502 T^{3} + 652415 T^{4} - 8404186 T^{5} + 153296647 T^{6} - 1129900996 T^{7} + 13841287201 T^{8}$$)($$1 - 28 T + 1303 T^{2} - 24502 T^{3} + 652415 T^{4} - 8404186 T^{5} + 153296647 T^{6} - 1129900996 T^{7} + 13841287201 T^{8}$$)($$1 + 17 T + 1347 T^{2} + 17397 T^{3} + 688888 T^{4} + 5967171 T^{5} + 158473203 T^{6} + 686011319 T^{7} + 13841287201 T^{8}$$)($$1 + 12 T + 975 T^{2} + 10732 T^{3} + 502143 T^{4} + 6825390 T^{5} + 203649755 T^{6} + 2341108770 T^{7} + 59076621807 T^{8} + 433074910324 T^{9} + 13495255020975 T^{10} + 56970738119316 T^{11} + 1628413597910449 T^{12}$$)($$1 - 28 T + 393 T^{2} - 2746 T^{3} + 50974 T^{4} - 2353534 T^{5} + 77815344 T^{6} - 807262162 T^{7} + 5997040126 T^{8} - 110811004822 T^{9} + 5439625869993 T^{10} - 132931722278404 T^{11} + 1628413597910449 T^{12}$$)($$1 + 42 T + 1827 T^{2} + 51238 T^{3} + 1344459 T^{4} + 29869884 T^{5} + 586429961 T^{6} + 10245370212 T^{7} + 158174256891 T^{8} + 2067638115466 T^{9} + 25288031716227 T^{10} + 199397583417606 T^{11} + 1628413597910449 T^{12}$$)($$1 - 28 T + 393 T^{2} - 2746 T^{3} + 50974 T^{4} - 2353534 T^{5} + 77815344 T^{6} - 807262162 T^{7} + 5997040126 T^{8} - 110811004822 T^{9} + 5439625869993 T^{10} - 132931722278404 T^{11} + 1628413597910449 T^{12}$$)($$1 + 42 T + 1827 T^{2} + 51238 T^{3} + 1344459 T^{4} + 29869884 T^{5} + 586429961 T^{6} + 10245370212 T^{7} + 158174256891 T^{8} + 2067638115466 T^{9} + 25288031716227 T^{10} + 199397583417606 T^{11} + 1628413597910449 T^{12}$$)($$1 + 12 T + 975 T^{2} + 10732 T^{3} + 502143 T^{4} + 6825390 T^{5} + 203649755 T^{6} + 2341108770 T^{7} + 59076621807 T^{8} + 433074910324 T^{9} + 13495255020975 T^{10} + 56970738119316 T^{11} + 1628413597910449 T^{12}$$)($$1 + 34 T + 1839 T^{2} + 56320 T^{3} + 1764911 T^{4} + 45092852 T^{5} + 1075157445 T^{6} + 22842480038 T^{7} + 443018056072 T^{8} + 7834970653034 T^{9} + 126491198246805 T^{10} + 1819659228117164 T^{11} + 24428640035204111 T^{12} + 267382664239989760 T^{13} + 2994652606557315711 T^{14} + 18990559378831656238 T^{15} +$$$$19\!\cdots\!01$$$$T^{16}$$)($$1 + 34 T + 1839 T^{2} + 56320 T^{3} + 1764911 T^{4} + 45092852 T^{5} + 1075157445 T^{6} + 22842480038 T^{7} + 443018056072 T^{8} + 7834970653034 T^{9} + 126491198246805 T^{10} + 1819659228117164 T^{11} + 24428640035204111 T^{12} + 267382664239989760 T^{13} + 2994652606557315711 T^{14} + 18990559378831656238 T^{15} +$$$$19\!\cdots\!01$$$$T^{16}$$)($$1 + 429 T^{2} + 14473 T^{3} + 151953 T^{4} + 2285817 T^{5} + 176408976 T^{6} + 339903105 T^{7} + 22597429404 T^{8} + 914981019185 T^{9} + 7750918285572 T^{10} + 39989260400145 T^{11} + 7118738488776432 T^{12} + 31638649585928217 T^{13} + 721406214120368679 T^{14} + 23568030002557928377 T^{15} +$$$$23\!\cdots\!03$$$$T^{16} +$$$$65\!\cdots\!43$$$$T^{18}$$)($$1 - 30 T + 1869 T^{2} - 50193 T^{3} + 1840779 T^{4} - 43727697 T^{5} + 1193232572 T^{6} - 24867677823 T^{7} + 553950250698 T^{8} - 10030811194605 T^{9} + 190004935989414 T^{10} - 2925657428198127 T^{11} + 48151238270087204 T^{12} - 605247612815306097 T^{13} + 8739211528711365597 T^{14} - 81734963719919166657 T^{15} +$$$$10\!\cdots\!83$$$$T^{16} -$$$$57\!\cdots\!30$$$$T^{17} +$$$$65\!\cdots\!43$$$$T^{18}$$)($$1 - 30 T + 1869 T^{2} - 50193 T^{3} + 1840779 T^{4} - 43727697 T^{5} + 1193232572 T^{6} - 24867677823 T^{7} + 553950250698 T^{8} - 10030811194605 T^{9} + 190004935989414 T^{10} - 2925657428198127 T^{11} + 48151238270087204 T^{12} - 605247612815306097 T^{13} + 8739211528711365597 T^{14} - 81734963719919166657 T^{15} +$$$$10\!\cdots\!83$$$$T^{16} -$$$$57\!\cdots\!30$$$$T^{17} +$$$$65\!\cdots\!43$$$$T^{18}$$)($$1 + 429 T^{2} + 14473 T^{3} + 151953 T^{4} + 2285817 T^{5} + 176408976 T^{6} + 339903105 T^{7} + 22597429404 T^{8} + 914981019185 T^{9} + 7750918285572 T^{10} + 39989260400145 T^{11} + 7118738488776432 T^{12} + 31638649585928217 T^{13} + 721406214120368679 T^{14} + 23568030002557928377 T^{15} +$$$$23\!\cdots\!03$$$$T^{16} +$$$$65\!\cdots\!43$$$$T^{18}$$)($$1 - 56 T + 3162 T^{2} - 126380 T^{3} + 4803697 T^{4} - 152734232 T^{5} + 4590456732 T^{6} - 122860023464 T^{7} + 3116132678052 T^{8} - 72028881029144 T^{9} + 1581504292036398 T^{10} - 32023991918676692 T^{11} + 616870884547301436 T^{12} - 10984229228106105356 T^{13} +$$$$18\!\cdots\!02$$$$T^{14} -$$$$29\!\cdots\!08$$$$T^{15} +$$$$43\!\cdots\!52$$$$T^{16} -$$$$58\!\cdots\!52$$$$T^{17} +$$$$74\!\cdots\!68$$$$T^{18} -$$$$85\!\cdots\!24$$$$T^{19} +$$$$92\!\cdots\!97$$$$T^{20} -$$$$83\!\cdots\!40$$$$T^{21} +$$$$71\!\cdots\!38$$$$T^{22} -$$$$43\!\cdots\!92$$$$T^{23} +$$$$26\!\cdots\!01$$$$T^{24}$$)($$1 - 56 T + 3162 T^{2} - 126380 T^{3} + 4803697 T^{4} - 152734232 T^{5} + 4590456732 T^{6} - 122860023464 T^{7} + 3116132678052 T^{8} - 72028881029144 T^{9} + 1581504292036398 T^{10} - 32023991918676692 T^{11} + 616870884547301436 T^{12} - 10984229228106105356 T^{13} +$$$$18\!\cdots\!02$$$$T^{14} -$$$$29\!\cdots\!08$$$$T^{15} +$$$$43\!\cdots\!52$$$$T^{16} -$$$$58\!\cdots\!52$$$$T^{17} +$$$$74\!\cdots\!68$$$$T^{18} -$$$$85\!\cdots\!24$$$$T^{19} +$$$$92\!\cdots\!97$$$$T^{20} -$$$$83\!\cdots\!40$$$$T^{21} +$$$$71\!\cdots\!38$$$$T^{22} -$$$$43\!\cdots\!92$$$$T^{23} +$$$$26\!\cdots\!01$$$$T^{24}$$)
$11$ ($$1 + 29 T + 1331 T^{2}$$)($$1 - 32 T + 1331 T^{2}$$)($$1 + 40 T + 1331 T^{2}$$)($$1 + 49 T + 1331 T^{2}$$)($$1 - 32 T + 1331 T^{2}$$)($$1 + 40 T + 1331 T^{2}$$)($$1 - 8 T + 1331 T^{2}$$)($$1 + 13 T + 1331 T^{2}$$)($$1 - 12 T + 1331 T^{2}$$)($$1 - 14 T + 2631 T^{2} - 18634 T^{3} + 1771561 T^{4}$$)($$1 - 20 T + 2642 T^{2} - 26620 T^{3} + 1771561 T^{4}$$)($$1 + T - 682 T^{2} + 1331 T^{3} + 1771561 T^{4}$$)($$1 + 9 T + 2604 T^{2} + 11979 T^{3} + 1771561 T^{4}$$)($$1 - 60 T + 2950 T^{2} - 79860 T^{3} + 1771561 T^{4}$$)($$1 + 9 T + 2604 T^{2} + 11979 T^{3} + 1771561 T^{4}$$)($$1 - 14 T + 2631 T^{2} - 18634 T^{3} + 1771561 T^{4}$$)($$1 - 20 T + 2642 T^{2} - 26620 T^{3} + 1771561 T^{4}$$)($$1 - 77 T + 2513 T^{2} - 58290 T^{3} + 3344803 T^{4} - 136410197 T^{5} + 2357947691 T^{6}$$)($$1 + 52 T + 3105 T^{2} + 105736 T^{3} + 4132755 T^{4} + 92121172 T^{5} + 2357947691 T^{6}$$)($$1 + 44 T - 747 T^{2} - 100096 T^{3} - 994257 T^{4} + 77948684 T^{5} + 2357947691 T^{6}$$)($$1 + 44 T - 747 T^{2} - 100096 T^{3} - 994257 T^{4} + 77948684 T^{5} + 2357947691 T^{6}$$)($$1 - 77 T + 2513 T^{2} - 58290 T^{3} + 3344803 T^{4} - 136410197 T^{5} + 2357947691 T^{6}$$)($$1 + 52 T + 3105 T^{2} + 105736 T^{3} + 4132755 T^{4} + 92121172 T^{5} + 2357947691 T^{6}$$)($$1 + 72 T + 4867 T^{2} + 238108 T^{3} + 9956848 T^{4} + 316921748 T^{5} + 8622187387 T^{6} + 169772233752 T^{7} + 3138428376721 T^{8}$$)($$1 - 83 T + 6836 T^{2} - 313268 T^{3} + 14187509 T^{4} - 416959708 T^{5} + 12110390996 T^{6} - 195709658353 T^{7} + 3138428376721 T^{8}$$)($$1 - 83 T + 6836 T^{2} - 313268 T^{3} + 14187509 T^{4} - 416959708 T^{5} + 12110390996 T^{6} - 195709658353 T^{7} + 3138428376721 T^{8}$$)($$1 + 72 T + 4867 T^{2} + 238108 T^{3} + 9956848 T^{4} + 316921748 T^{5} + 8622187387 T^{6} + 169772233752 T^{7} + 3138428376721 T^{8}$$)($$1 + 93 T + 8187 T^{2} + 467032 T^{3} + 25426956 T^{4} + 1071845190 T^{5} + 43759803013 T^{6} + 1426625947890 T^{7} + 45045403598316 T^{8} + 1101237026023112 T^{9} + 25694313120214827 T^{10} + 388484079755655543 T^{11} + 5559917313492231481 T^{12}$$)($$1 - 127 T + 11478 T^{2} - 731552 T^{3} + 39193528 T^{4} - 1734926889 T^{5} + 68280075786 T^{6} - 2309187689259 T^{7} + 69433725657208 T^{8} - 1724961349246432 T^{9} + 36022880908003638 T^{10} - 530510517515787677 T^{11} + 5559917313492231481 T^{12}$$)($$1 + 57 T + 6693 T^{2} + 311684 T^{3} + 20589882 T^{4} + 748130604 T^{5} + 35809613179 T^{6} + 995761833924 T^{7} + 36476231945802 T^{8} + 734934568121644 T^{9} + 21005501125393653 T^{10} + 238103145656692107 T^{11} + 5559917313492231481 T^{12}$$)($$1 - 127 T + 11478 T^{2} - 731552 T^{3} + 39193528 T^{4} - 1734926889 T^{5} + 68280075786 T^{6} - 2309187689259 T^{7} + 69433725657208 T^{8} - 1724961349246432 T^{9} + 36022880908003638 T^{10} - 530510517515787677 T^{11} + 5559917313492231481 T^{12}$$)($$1 + 57 T + 6693 T^{2} + 311684 T^{3} + 20589882 T^{4} + 748130604 T^{5} + 35809613179 T^{6} + 995761833924 T^{7} + 36476231945802 T^{8} + 734934568121644 T^{9} + 21005501125393653 T^{10} + 238103145656692107 T^{11} + 5559917313492231481 T^{12}$$)($$1 + 93 T + 8187 T^{2} + 467032 T^{3} + 25426956 T^{4} + 1071845190 T^{5} + 43759803013 T^{6} + 1426625947890 T^{7} + 45045403598316 T^{8} + 1101237026023112 T^{9} + 25694313120214827 T^{10} + 388484079755655543 T^{11} + 5559917313492231481 T^{12}$$)($$1 + 6 T + 8102 T^{2} + 41904 T^{3} + 31200601 T^{4} + 135705540 T^{5} + 74147805618 T^{6} + 269781707010 T^{7} + 118795767831452 T^{8} + 359079452030310 T^{9} + 131357360668429698 T^{10} + 319986564698908140 T^{11} + 97920851549149609321 T^{12} +$$$$17\!\cdots\!04$$$$T^{13} +$$$$45\!\cdots\!62$$$$T^{14} +$$$$44\!\cdots\!66$$$$T^{15} +$$$$98\!\cdots\!41$$$$T^{16}$$)($$1 + 6 T + 8102 T^{2} + 41904 T^{3} + 31200601 T^{4} + 135705540 T^{5} + 74147805618 T^{6} + 269781707010 T^{7} + 118795767831452 T^{8} + 359079452030310 T^{9} + 131357360668429698 T^{10} + 319986564698908140 T^{11} + 97920851549149609321 T^{12} +$$$$17\!\cdots\!04$$$$T^{13} +$$$$45\!\cdots\!62$$$$T^{14} +$$$$44\!\cdots\!66$$$$T^{15} +$$$$98\!\cdots\!41$$$$T^{16}$$)($$1 - 39 T + 5976 T^{2} - 220991 T^{3} + 19408656 T^{4} - 633055167 T^{5} + 42314825665 T^{6} - 1235786137647 T^{7} + 70131917980512 T^{8} - 1838791620542240 T^{9} + 93345582832061472 T^{10} - 2189270525796056967 T^{11} + 99776145471854289515 T^{12} -$$$$19\!\cdots\!07$$$$T^{13} +$$$$81\!\cdots\!56$$$$T^{14} -$$$$12\!\cdots\!71$$$$T^{15} +$$$$44\!\cdots\!36$$$$T^{16} -$$$$38\!\cdots\!99$$$$T^{17} +$$$$13\!\cdots\!71$$$$T^{18}$$)($$1 + 57 T + 3762 T^{2} + 139541 T^{3} + 8032980 T^{4} + 290951523 T^{5} + 15328224019 T^{6} + 493355295897 T^{7} + 21652067106432 T^{8} + 603178548795188 T^{9} + 28818901318660992 T^{10} + 874009001354585217 T^{11} + 36143150432731790129 T^{12} +$$$$91\!\cdots\!83$$$$T^{13} +$$$$33\!\cdots\!80$$$$T^{14} +$$$$77\!\cdots\!21$$$$T^{15} +$$$$27\!\cdots\!82$$$$T^{16} +$$$$56\!\cdots\!37$$$$T^{17} +$$$$13\!\cdots\!71$$$$T^{18}$$)($$1 + 57 T + 3762 T^{2} + 139541 T^{3} + 8032980 T^{4} + 290951523 T^{5} + 15328224019 T^{6} + 493355295897 T^{7} + 21652067106432 T^{8} + 603178548795188 T^{9} + 28818901318660992 T^{10} + 874009001354585217 T^{11} + 36143150432731790129 T^{12} +$$$$91\!\cdots\!83$$$$T^{13} +$$$$33\!\cdots\!80$$$$T^{14} +$$$$77\!\cdots\!21$$$$T^{15} +$$$$27\!\cdots\!82$$$$T^{16} +$$$$56\!\cdots\!37$$$$T^{17} +$$$$13\!\cdots\!71$$$$T^{18}$$)($$1 - 39 T + 5976 T^{2} - 220991 T^{3} + 19408656 T^{4} - 633055167 T^{5} + 42314825665 T^{6} - 1235786137647 T^{7} + 70131917980512 T^{8} - 1838791620542240 T^{9} + 93345582832061472 T^{10} - 2189270525796056967 T^{11} + 99776145471854289515 T^{12} -$$$$19\!\cdots\!07$$$$T^{13} +$$$$81\!\cdots\!56$$$$T^{14} -$$$$12\!\cdots\!71$$$$T^{15} +$$$$44\!\cdots\!36$$$$T^{16} -$$$$38\!\cdots\!99$$$$T^{17} +$$$$13\!\cdots\!71$$$$T^{18}$$)($$1 - 78 T + 10681 T^{2} - 667714 T^{3} + 53788276 T^{4} - 2799063862 T^{5} + 170464916438 T^{6} - 7644070131416 T^{7} + 386888298123582 T^{8} - 15395594485397966 T^{9} + 683370291294073481 T^{10} - 24676363065156990464 T^{11} +$$$$99\!\cdots\!98$$$$T^{12} -$$$$32\!\cdots\!84$$$$T^{13} +$$$$12\!\cdots\!41$$$$T^{14} -$$$$36\!\cdots\!06$$$$T^{15} +$$$$12\!\cdots\!22$$$$T^{16} -$$$$31\!\cdots\!16$$$$T^{17} +$$$$94\!\cdots\!78$$$$T^{18} -$$$$20\!\cdots\!82$$$$T^{19} +$$$$52\!\cdots\!16$$$$T^{20} -$$$$87\!\cdots\!94$$$$T^{21} +$$$$18\!\cdots\!81$$$$T^{22} -$$$$18\!\cdots\!18$$$$T^{23} +$$$$30\!\cdots\!61$$$$T^{24}$$)($$1 - 78 T + 10681 T^{2} - 667714 T^{3} + 53788276 T^{4} - 2799063862 T^{5} + 170464916438 T^{6} - 7644070131416 T^{7} + 386888298123582 T^{8} - 15395594485397966 T^{9} + 683370291294073481 T^{10} - 24676363065156990464 T^{11} +$$$$99\!\cdots\!98$$$$T^{12} -$$$$32\!\cdots\!84$$$$T^{13} +$$$$12\!\cdots\!41$$$$T^{14} -$$$$36\!\cdots\!06$$$$T^{15} +$$$$12\!\cdots\!22$$$$T^{16} -$$$$31\!\cdots\!16$$$$T^{17} +$$$$94\!\cdots\!78$$$$T^{18} -$$$$20\!\cdots\!82$$$$T^{19} +$$$$52\!\cdots\!16$$$$T^{20} -$$$$87\!\cdots\!94$$$$T^{21} +$$$$18\!\cdots\!81$$$$T^{22} -$$$$18\!\cdots\!18$$$$T^{23} +$$$$30\!\cdots\!61$$$$T^{24}$$)
$13$ ($$1 - 82 T + 2197 T^{2}$$)($$1 - 81 T + 2197 T^{2}$$)($$1 - 17 T + 2197 T^{2}$$)($$1 + 14 T + 2197 T^{2}$$)($$1 + 81 T + 2197 T^{2}$$)($$1 + 17 T + 2197 T^{2}$$)($$1 - 24 T + 2197 T^{2}$$)($$1 + 38 T + 2197 T^{2}$$)($$1 + 38 T + 2197 T^{2}$$)($$1 + 19 T + 4453 T^{2} + 41743 T^{3} + 4826809 T^{4}$$)($$1 + 10 T + 2499 T^{2} + 21970 T^{3} + 4826809 T^{4}$$)($$1 + 16 T + 3366 T^{2} + 35152 T^{3} + 4826809 T^{4}$$)($$( 1 - 24 T + 2197 T^{2} )^{2}$$)($$1 + 58 T + 3858 T^{2} + 127426 T^{3} + 4826809 T^{4}$$)($$( 1 + 24 T + 2197 T^{2} )^{2}$$)($$1 - 19 T + 4453 T^{2} - 41743 T^{3} + 4826809 T^{4}$$)($$1 - 10 T + 2499 T^{2} - 21970 T^{3} + 4826809 T^{4}$$)($$1 - 44 T + 2535 T^{2} - 189880 T^{3} + 5569395 T^{4} - 212379596 T^{5} + 10604499373 T^{6}$$)($$1 - 75 T + 7410 T^{2} - 316343 T^{3} + 16279770 T^{4} - 362010675 T^{5} + 10604499373 T^{6}$$)($$1 - 9 T + 1962 T^{2} - 1861 T^{3} + 4310514 T^{4} - 43441281 T^{5} + 10604499373 T^{6}$$)($$1 + 9 T + 1962 T^{2} + 1861 T^{3} + 4310514 T^{4} + 43441281 T^{5} + 10604499373 T^{6}$$)($$1 + 44 T + 2535 T^{2} + 189880 T^{3} + 5569395 T^{4} + 212379596 T^{5} + 10604499373 T^{6}$$)($$1 + 75 T + 7410 T^{2} + 316343 T^{3} + 16279770 T^{4} + 362010675 T^{5} + 10604499373 T^{6}$$)($$1 - 8 T + 633 T^{2} - 64864 T^{3} - 1434967 T^{4} - 142506208 T^{5} + 3055370097 T^{6} - 84835994984 T^{7} + 23298085122481 T^{8}$$)($$1 - 5 T + 5131 T^{2} - 12875 T^{3} + 14915432 T^{4} - 28286375 T^{5} + 24766356979 T^{6} - 53022496865 T^{7} + 23298085122481 T^{8}$$)($$1 + 5 T + 5131 T^{2} + 12875 T^{3} + 14915432 T^{4} + 28286375 T^{5} + 24766356979 T^{6} + 53022496865 T^{7} + 23298085122481 T^{8}$$)($$1 + 8 T + 633 T^{2} + 64864 T^{3} - 1434967 T^{4} + 142506208 T^{5} + 3055370097 T^{6} + 84835994984 T^{7} + 23298085122481 T^{8}$$)($$1 + 15 T + 8850 T^{2} + 75416 T^{3} + 38703807 T^{4} + 256462317 T^{5} + 106327328703 T^{6} + 563447710449 T^{7} + 186815883961863 T^{8} + 799748924714168 T^{9} + 206188053333956850 T^{10} + 767788395211361355 T^{11} +$$$$11\!\cdots\!29$$$$T^{12}$$)($$1 + 12 T + 9479 T^{2} + 130820 T^{3} + 42751084 T^{4} + 568614592 T^{5} + 117178667024 T^{6} + 1249246258624 T^{7} + 206351317010956 T^{8} + 1387280607975860 T^{9} + 220842548875997399 T^{10} + 614230716169089084 T^{11} +$$$$11\!\cdots\!29$$$$T^{12}$$)($$1 + 21 T + 3756 T^{2} + 163048 T^{3} + 8929071 T^{4} + 167299551 T^{5} + 26490791913 T^{6} + 367557113547 T^{7} + 43098920264439 T^{8} + 1729042413768904 T^{9} + 87507607720038636 T^{10} + 1074903753295905897 T^{11} +$$$$11\!\cdots\!29$$$$T^{12}$$)($$1 - 12 T + 9479 T^{2} - 130820 T^{3} + 42751084 T^{4} - 568614592 T^{5} + 117178667024 T^{6} - 1249246258624 T^{7} + 206351317010956 T^{8} - 1387280607975860 T^{9} + 220842548875997399 T^{10} - 614230716169089084 T^{11} +$$$$11\!\cdots\!29$$$$T^{12}$$)($$1 - 21 T + 3756 T^{2} - 163048 T^{3} + 8929071 T^{4} - 167299551 T^{5} + 26490791913 T^{6} - 367557113547 T^{7} + 43098920264439 T^{8} - 1729042413768904 T^{9} + 87507607720038636 T^{10} - 1074903753295905897 T^{11} +$$$$11\!\cdots\!29$$$$T^{12}$$)($$1 - 15 T + 8850 T^{2} - 75416 T^{3} + 38703807 T^{4} - 256462317 T^{5} + 106327328703 T^{6} - 563447710449 T^{7} + 186815883961863 T^{8} - 799748924714168 T^{9} + 206188053333956850 T^{10} - 767788395211361355 T^{11} +$$$$11\!\cdots\!29$$$$T^{12}$$)($$1 + 48 T + 15214 T^{2} + 661188 T^{3} + 106531783 T^{4} + 4040736768 T^{5} + 443866708776 T^{6} + 14248285845504 T^{7} + 1197984375227993 T^{8} + 31303484002572288 T^{9} + 2142459824720375784 T^{10} + 42849990522714046464 T^{11} +$$$$24\!\cdots\!23$$$$T^{12} +$$$$33\!\cdots\!16$$$$T^{13} +$$$$17\!\cdots\!06$$$$T^{14} +$$$$11\!\cdots\!24$$$$T^{15} +$$$$54\!\cdots\!61$$$$T^{16}$$)($$1 - 48 T + 15214 T^{2} - 661188 T^{3} + 106531783 T^{4} - 4040736768 T^{5} + 443866708776 T^{6} - 14248285845504 T^{7} + 1197984375227993 T^{8} - 31303484002572288 T^{9} + 2142459824720375784 T^{10} - 42849990522714046464 T^{11} +$$$$24\!\cdots\!23$$$$T^{12} -$$$$33\!\cdots\!16$$$$T^{13} +$$$$17\!\cdots\!06$$$$T^{14} -$$$$11\!\cdots\!24$$$$T^{15} +$$$$54\!\cdots\!61$$$$T^{16}$$)($$1 + 99 T + 16380 T^{2} + 1276377 T^{3} + 124958700 T^{4} + 7931463813 T^{5} + 582257106168 T^{6} + 30820693748805 T^{7} + 1826716516053174 T^{8} + 81317936709390971 T^{9} + 4013296185768823278 T^{10} +$$$$14\!\cdots\!45$$$$T^{11} +$$$$61\!\cdots\!64$$$$T^{12} +$$$$18\!\cdots\!53$$$$T^{13} +$$$$63\!\cdots\!00$$$$T^{14} +$$$$14\!\cdots\!33$$$$T^{15} +$$$$40\!\cdots\!40$$$$T^{16} +$$$$53\!\cdots\!39$$$$T^{17} +$$$$11\!\cdots\!17$$$$T^{18}$$)($$1 + 93 T + 7314 T^{2} + 428411 T^{3} + 38595156 T^{4} + 2355652173 T^{5} + 136816311250 T^{6} + 6359316827763 T^{7} + 384754595021988 T^{8} + 18323205923713735 T^{9} + 845305845263307636 T^{10} + 30695207698097898267 T^{11} +$$$$14\!\cdots\!50$$$$T^{12} +$$$$54\!\cdots\!13$$$$T^{13} +$$$$19\!\cdots\!92$$$$T^{14} +$$$$48\!\cdots\!19$$$$T^{15} +$$$$18\!\cdots\!82$$$$T^{16} +$$$$50\!\cdots\!73$$$$T^{17} +$$$$11\!\cdots\!17$$$$T^{18}$$)($$1 - 93 T + 7314 T^{2} - 428411 T^{3} + 38595156 T^{4} - 2355652173 T^{5} + 136816311250 T^{6} - 6359316827763 T^{7} + 384754595021988 T^{8} - 18323205923713735 T^{9} + 845305845263307636 T^{10} - 30695207698097898267 T^{11} +$$$$14\!\cdots\!50$$$$T^{12} -$$$$54\!\cdots\!13$$$$T^{13} +$$$$19\!\cdots\!92$$$$T^{14} -$$$$48\!\cdots\!19$$$$T^{15} +$$$$18\!\cdots\!82$$$$T^{16} -$$$$50\!\cdots\!73$$$$T^{17} +$$$$11\!\cdots\!17$$$$T^{18}$$)($$1 - 99 T + 16380 T^{2} - 1276377 T^{3} + 124958700 T^{4} - 7931463813 T^{5} + 582257106168 T^{6} - 30820693748805 T^{7} + 1826716516053174 T^{8} - 81317936709390971 T^{9} + 4013296185768823278 T^{10} -$$$$14\!\cdots\!45$$$$T^{11} +$$$$61\!\cdots\!64$$$$T^{12} -$$$$18\!\cdots\!53$$$$T^{13} +$$$$63\!\cdots\!00$$$$T^{14} -$$$$14\!\cdots\!33$$$$T^{15} +$$$$40\!\cdots\!40$$$$T^{16} -$$$$53\!\cdots\!39$$$$T^{17} +$$$$11\!\cdots\!17$$$$T^{18}$$)($$1 + 44 T + 5786 T^{2} + 238584 T^{3} + 23174661 T^{4} + 803866456 T^{5} + 66260892300 T^{6} + 1848744910024 T^{7} + 144395005414652 T^{8} + 2365195539913192 T^{9} + 260491530579119206 T^{10} + 2645860400344358116 T^{11} +$$$$51\!\cdots\!08$$$$T^{12} +$$$$58\!\cdots\!52$$$$T^{13} +$$$$12\!\cdots\!54$$$$T^{14} +$$$$25\!\cdots\!16$$$$T^{15} +$$$$33\!\cdots\!12$$$$T^{16} +$$$$94\!\cdots\!68$$$$T^{17} +$$$$74\!\cdots\!00$$$$T^{18} +$$$$19\!\cdots\!28$$$$T^{19} +$$$$12\!\cdots\!21$$$$T^{20} +$$$$28\!\cdots\!28$$$$T^{21} +$$$$15\!\cdots\!14$$$$T^{22} +$$$$25\!\cdots\!32$$$$T^{23} +$$$$12\!\cdots\!41$$$$T^{24}$$)($$1 - 44 T + 5786 T^{2} - 238584 T^{3} + 23174661 T^{4} - 803866456 T^{5} + 66260892300 T^{6} - 1848744910024 T^{7} + 144395005414652 T^{8} - 2365195539913192 T^{9} + 260491530579119206 T^{10} - 2645860400344358116 T^{11} +$$$$51\!\cdots\!08$$$$T^{12} -$$$$58\!\cdots\!52$$$$T^{13} +$$$$12\!\cdots\!54$$$$T^{14} -$$$$25\!\cdots\!16$$$$T^{15} +$$$$33\!\cdots\!12$$$$T^{16} -$$$$94\!\cdots\!68$$$$T^{17} +$$$$74\!\cdots\!00$$$$T^{18} -$$$$19\!\cdots\!28$$$$T^{19} +$$$$12\!\cdots\!21$$$$T^{20} -$$$$28\!\cdots\!28$$$$T^{21} +$$$$15\!\cdots\!14$$$$T^{22} -$$$$25\!\cdots\!32$$$$T^{23} +$$$$12\!\cdots\!41$$$$T^{24}$$)
$17$ ($$1 - 27 T + 4913 T^{2}$$)($$1 + 124 T + 4913 T^{2}$$)($$1 - 36 T + 4913 T^{2}$$)($$1 + 33 T + 4913 T^{2}$$)($$1 + 124 T + 4913 T^{2}$$)($$1 - 36 T + 4913 T^{2}$$)($$1 - 62 T + 4913 T^{2}$$)($$1 - 99 T + 4913 T^{2}$$)($$1 + 126 T + 4913 T^{2}$$)($$1 + 12 T + 8417 T^{2} + 58956 T^{3} + 24137569 T^{4}$$)($$( 1 - 12 T + 4913 T^{2} )^{2}$$)($$1 - 9 T + 9232 T^{2} - 44217 T^{3} + 24137569 T^{4}$$)($$1 - 111 T + 9072 T^{2} - 545343 T^{3} + 24137569 T^{4}$$)($$1 - 96 T + 11518 T^{2} - 471648 T^{3} + 24137569 T^{4}$$)($$1 - 111 T + 9072 T^{2} - 545343 T^{3} + 24137569 T^{4}$$)($$1 + 12 T + 8417 T^{2} + 58956 T^{3} + 24137569 T^{4}$$)($$( 1 - 12 T + 4913 T^{2} )^{2}$$)($$1 - 45 T + 11387 T^{2} - 479502 T^{3} + 55944331 T^{4} - 1086190605 T^{5} + 118587876497 T^{6}$$)($$1 + 48 T + 13011 T^{2} + 482016 T^{3} + 63923043 T^{4} + 1158603312 T^{5} + 118587876497 T^{6}$$)($$1 + 84 T + 4659 T^{2} + 4584 T^{3} + 22889667 T^{4} + 2027555796 T^{5} + 118587876497 T^{6}$$)($$1 + 84 T + 4659 T^{2} + 4584 T^{3} + 22889667 T^{4} + 2027555796 T^{5} + 118587876497 T^{6}$$)($$1 - 45 T + 11387 T^{2} - 479502 T^{3} + 55944331 T^{4} - 1086190605 T^{5} + 118587876497 T^{6}$$)($$1 + 48 T + 13011 T^{2} + 482016 T^{3} + 63923043 T^{4} + 1158603312 T^{5} + 118587876497 T^{6}$$)($$1 - 33 T + 18610 T^{2} - 437460 T^{3} + 134131233 T^{4} - 2149240980 T^{5} + 449200159090 T^{6} - 3913399924401 T^{7} + 582622237229761 T^{8}$$)($$1 - 108 T + 10501 T^{2} - 934794 T^{3} + 89673204 T^{4} - 4592642922 T^{5} + 253468612069 T^{6} - 12807490661676 T^{7} + 582622237229761 T^{8}$$)($$1 - 108 T + 10501 T^{2} - 934794 T^{3} + 89673204 T^{4} - 4592642922 T^{5} + 253468612069 T^{6} - 12807490661676 T^{7} + 582622237229761 T^{8}$$)($$1 - 33 T + 18610 T^{2} - 437460 T^{3} + 134131233 T^{4} - 2149240980 T^{5} + 449200159090 T^{6} - 3913399924401 T^{7} + 582622237229761 T^{8}$$)($$1 + 249 T + 28947 T^{2} + 2178378 T^{3} + 173234544 T^{4} + 17547457974 T^{5} + 1483268757793 T^{6} + 86210661026262 T^{7} + 4181460758983536 T^{8} + 258329221227781866 T^{9} + 16865165901089891667 T^{10} +$$$$71\!\cdots\!57$$$$T^{11} +$$$$14\!\cdots\!09$$$$T^{12}$$)($$1 - 61 T + 12650 T^{2} - 643822 T^{3} + 105561214 T^{4} - 4329718635 T^{5} + 550408543854 T^{6} - 21271907653755 T^{7} + 2547991086648766 T^{8} - 76349483822051534 T^{9} + 7370171300956476650 T^{10} -$$$$17\!\cdots\!73$$$$T^{11} +$$$$14\!\cdots\!09$$$$T^{12}$$)($$1 + 45 T + 20757 T^{2} + 755154 T^{3} + 206725506 T^{4} + 6051830076 T^{5} + 1256593493023 T^{6} + 29732641163388 T^{7} + 4989851165134914 T^{8} + 89552109288215538 T^{9} + 12093489778178149077 T^{10} +$$$$12\!\cdots\!85$$$$T^{11} +$$$$14\!\cdots\!09$$$$T^{12}$$)($$1 - 61 T + 12650 T^{2} - 643822 T^{3} + 105561214 T^{4} - 4329718635 T^{5} + 550408543854 T^{6} - 21271907653755 T^{7} + 2547991086648766 T^{8} - 76349483822051534 T^{9} + 7370171300956476650 T^{10} -$$$$17\!\cdots\!73$$$$T^{11} +$$$$14\!\cdots\!09$$$$T^{12}$$)($$1 + 45 T + 20757 T^{2} + 755154 T^{3} + 206725506 T^{4} + 6051830076 T^{5} + 1256593493023 T^{6} + 29732641163388 T^{7} + 4989851165134914 T^{8} + 89552109288215538 T^{9} + 12093489778178149077 T^{10} +$$$$12\!\cdots\!85$$$$T^{11} +$$$$14\!\cdots\!09$$$$T^{12}$$)($$1 + 249 T + 28947 T^{2} + 2178378 T^{3} + 173234544 T^{4} + 17547457974 T^{5} + 1483268757793 T^{6} + 86210661026262 T^{7} + 4181460758983536 T^{8} + 258329221227781866 T^{9} + 16865165901089891667 T^{10} +$$$$71\!\cdots\!57$$$$T^{11} +$$$$14\!\cdots\!09$$$$T^{12}$$)($$1 + 36 T + 25489 T^{2} + 402810 T^{3} + 297462026 T^{4} + 799661628 T^{5} + 2270922921740 T^{6} - 6765277730238 T^{7} + 12830005793533417 T^{8} - 33237809488659294 T^{9} + 54814558717180850060 T^{10} + 94830174380653957116 T^{11} +$$$$17\!\cdots\!86$$$$T^{12} +$$$$11\!\cdots\!30$$$$T^{13} +$$$$35\!\cdots\!01$$$$T^{14} +$$$$24\!\cdots\!12$$$$T^{15} +$$$$33\!\cdots\!21$$$$T^{16}$$)($$1 + 36 T + 25489 T^{2} + 402810 T^{3} + 297462026 T^{4} + 799661628 T^{5} + 2270922921740 T^{6} - 6765277730238 T^{7} + 12830005793533417 T^{8} - 33237809488659294 T^{9} + 54814558717180850060 T^{10} + 94830174380653957116 T^{11} +$$$$17\!\cdots\!86$$$$T^{12} +$$$$11\!\cdots\!30$$$$T^{13} +$$$$35\!\cdots\!01$$$$T^{14} +$$$$24\!\cdots\!12$$$$T^{15} +$$$$33\!\cdots\!21$$$$T^{16}$$)($$1 - 57 T + 23580 T^{2} - 1472859 T^{3} + 302223636 T^{4} - 18737243805 T^{5} + 2659139856897 T^{6} - 152155984160037 T^{7} + 17311644194348934 T^{8} - 875858815478993580 T^{9} + 85052107926836312742 T^{10} -$$$$36\!\cdots\!53$$$$T^{11} +$$$$31\!\cdots\!09$$$$T^{12} -$$$$10\!\cdots\!05$$$$T^{13} +$$$$86\!\cdots\!48$$$$T^{14} -$$$$20\!\cdots\!31$$$$T^{15} +$$$$16\!\cdots\!60$$$$T^{16} -$$$$19\!\cdots\!97$$$$T^{17} +$$$$16\!\cdots\!73$$$$T^{18}$$)($$1 + 147 T + 30510 T^{2} + 3658669 T^{3} + 464240868 T^{4} + 46864254993 T^{5} + 4518468841407 T^{6} + 387620292166803 T^{7} + 30734563343108838 T^{8} + 2252571860788770640 T^{9} +$$$$15\!\cdots\!94$$$$T^{10} +$$$$93\!\cdots\!07$$$$T^{11} +$$$$53\!\cdots\!79$$$$T^{12} +$$$$27\!\cdots\!73$$$$T^{13} +$$$$13\!\cdots\!24$$$$T^{14} +$$$$51\!\cdots\!21$$$$T^{15} +$$$$21\!\cdots\!70$$$$T^{16} +$$$$49\!\cdots\!87$$$$T^{17} +$$$$16\!\cdots\!73$$$$T^{18}$$)($$1 + 147 T + 30510 T^{2} + 3658669 T^{3} + 464240868 T^{4} + 46864254993 T^{5} + 4518468841407 T^{6} + 387620292166803 T^{7} + 30734563343108838 T^{8} + 2252571860788770640 T^{9} +$$$$15\!\cdots\!94$$$$T^{10} +$$$$93\!\cdots\!07$$$$T^{11} +$$$$53\!\cdots\!79$$$$T^{12} +$$$$27\!\cdots\!73$$$$T^{13} +$$$$13\!\cdots\!24$$$$T^{14} +$$$$51\!\cdots\!21$$$$T^{15} +$$$$21\!\cdots\!70$$$$T^{16} +$$$$49\!\cdots\!87$$$$T^{17} +$$$$16\!\cdots\!73$$$$T^{18}$$)($$1 - 57 T + 23580 T^{2} - 1472859 T^{3} + 302223636 T^{4} - 18737243805 T^{5} + 2659139856897 T^{6} - 152155984160037 T^{7} + 17311644194348934 T^{8} - 875858815478993580 T^{9} + 85052107926836312742 T^{10} -$$$$36\!\cdots\!53$$$$T^{11} +$$$$31\!\cdots\!09$$$$T^{12} -$$$$10\!\cdots\!05$$$$T^{13} +$$$$86\!\cdots\!48$$$$T^{14} -$$$$20\!\cdots\!31$$$$T^{15} +$$$$16\!\cdots\!60$$$$T^{16} -$$$$19\!\cdots\!97$$$$T^{17} +$$$$16\!\cdots\!73$$$$T^{18}$$)($$1 - 200 T + 40633 T^{2} - 5781798 T^{3} + 764685608 T^{4} - 87619796308 T^{5} + 9324472169138 T^{6} - 908402492889810 T^{7} + 82976621008632854 T^{8} - 7094746010799620610 T^{9} +$$$$57\!\cdots\!45$$$$T^{10} -$$$$43\!\cdots\!86$$$$T^{11} +$$$$31\!\cdots\!70$$$$T^{12} -$$$$21\!\cdots\!18$$$$T^{13} +$$$$13\!\cdots\!05$$$$T^{14} -$$$$84\!\cdots\!70$$$$T^{15} +$$$$48\!\cdots\!94$$$$T^{16} -$$$$26\!\cdots\!30$$$$T^{17} +$$$$13\!\cdots\!42$$$$T^{18} -$$$$60\!\cdots\!36$$$$T^{19} +$$$$25\!\cdots\!68$$$$T^{20} -$$$$96\!\cdots\!54$$$$T^{21} +$$$$33\!\cdots\!17$$$$T^{22} -$$$$80\!\cdots\!00$$$$T^{23} +$$$$19\!\cdots\!81$$$$T^{24}$$)($$1 - 200 T + 40633 T^{2} - 5781798 T^{3} + 764685608 T^{4} - 87619796308 T^{5} + 9324472169138 T^{6} - 908402492889810 T^{7} + 82976621008632854 T^{8} - 7094746010799620610 T^{9} +$$$$57\!\cdots\!45$$$$T^{10} -$$$$43\!\cdots\!86$$$$T^{11} +$$$$31\!\cdots\!70$$$$T^{12} -$$$$21\!\cdots\!18$$$$T^{13} +$$$$13\!\cdots\!05$$$$T^{14} -$$$$84\!\cdots\!70$$$$T^{15} +$$$$48\!\cdots\!94$$$$T^{16} -$$$$26\!\cdots\!30$$$$T^{17} +$$$$13\!\cdots\!42$$$$T^{18} -$$$$60\!\cdots\!36$$$$T^{19} +$$$$25\!\cdots\!68$$$$T^{20} -$$$$96\!\cdots\!54$$$$T^{21} +$$$$33\!\cdots\!17$$$$T^{22} -$$$$80\!\cdots\!00$$$$T^{23} +$$$$19\!\cdots\!81$$$$T^{24}$$)
$19$ 1
$23$ ($$1 - 100 T + 12167 T^{2}$$)($$1 - 98 T + 12167 T^{2}$$)($$1 - 74 T + 12167 T^{2}$$)($$1 + 148 T + 12167 T^{2}$$)($$1 - 98 T + 12167 T^{2}$$)($$1 - 74 T + 12167 T^{2}$$)($$1 - 194 T + 12167 T^{2}$$)($$1 - 68 T + 12167 T^{2}$$)($$1 - 168 T + 12167 T^{2}$$)($$1 + 54 T + 24743 T^{2} + 657018 T^{3} + 148035889 T^{4}$$)($$1 - 80 T + 25814 T^{2} - 973360 T^{3} + 148035889 T^{4}$$)($$1 + 4 T + 23246 T^{2} + 48668 T^{3} + 148035889 T^{4}$$)($$1 + 138 T + 21270 T^{2} + 1679046 T^{3} + 148035889 T^{4}$$)($$1 + 30 T + 24406 T^{2} + 365010 T^{3} + 148035889 T^{4}$$)($$1 + 138 T + 21270 T^{2} + 1679046 T^{3} + 148035889 T^{4}$$)($$1 + 54 T + 24743 T^{2} + 657018 T^{3} + 148035889 T^{4}$$)($$1 - 80 T + 25814 T^{2} - 973360 T^{3} + 148035889 T^{4}$$)($$1 - 20 T + 17753 T^{2} - 1346664 T^{3} + 216000751 T^{4} - 2960717780 T^{5} + 1801152661463 T^{6}$$)($$1 + 238 T + 13449 T^{2} - 313172 T^{3} + 163633983 T^{4} + 35232541582 T^{5} + 1801152661463 T^{6}$$)($$1 + 2 T + 6309 T^{2} + 155444 T^{3} + 76761603 T^{4} + 296071778 T^{5} + 1801152661463 T^{6}$$)($$1 + 2 T + 6309 T^{2} + 155444 T^{3} + 76761603 T^{4} + 296071778 T^{5} + 1801152661463 T^{6}$$)($$1 - 20 T + 17753 T^{2} - 1346664 T^{3} + 216000751 T^{4} - 2960717780 T^{5} + 1801152661463 T^{6}$$)($$1 + 238 T + 13449 T^{2} - 313172 T^{3} + 163633983 T^{4} + 35232541582 T^{5} + 1801152661463 T^{6}$$)($$1 + 88 T + 33883 T^{2} + 2202004 T^{3} + 566723688 T^{4} + 26791782668 T^{5} + 5015900026987 T^{6} + 158501434208744 T^{7} + 21914624432020321 T^{8}$$)($$1 - 112 T + 32735 T^{2} - 2594728 T^{3} + 532785536 T^{4} - 31570055576 T^{5} + 4845954826415 T^{6} - 201729098083856 T^{7} + 21914624432020321 T^{8}$$)($$1 - 112 T + 32735 T^{2} - 2594728 T^{3} + 532785536 T^{4} - 31570055576 T^{5} + 4845954826415 T^{6} - 201729098083856 T^{7} + 21914624432020321 T^{8}$$)($$1 + 88 T + 33883 T^{2} + 2202004 T^{3} + 566723688 T^{4} + 26791782668 T^{5} + 5015900026987 T^{6} + 158501434208744 T^{7} + 21914624432020321 T^{8}$$)($$1 + 486 T + 162684 T^{2} + 37255348 T^{3} + 6879171978 T^{4} + 1003858321722 T^{5} + 122848436291065 T^{6} + 12213944200391574 T^{7} + 1018364339347118442 T^{8} + 67102569203930254124 T^{9} +$$$$35\!\cdots\!64$$$$T^{10} +$$$$12\!\cdots\!02$$$$T^{11} +$$$$32\!\cdots\!69$$$$T^{12}$$)($$1 + 130 T + 30391 T^{2} + 2998230 T^{3} + 326681691 T^{4} + 23843677220 T^{5} + 2227000053402 T^{6} + 290106020735740 T^{7} + 48360614547208299 T^{8} + 5400269944178210490 T^{9} +$$$$66\!\cdots\!11$$$$T^{10} +$$$$34\!\cdots\!10$$$$T^{11} +$$$$32\!\cdots\!69$$$$T^{12}$$)($$1 - 138 T + 32652 T^{2} - 1216432 T^{3} + 94040274 T^{4} + 40765431978 T^{5} - 3153887021315 T^{6} + 495993010876326 T^{7} + 13921335563393586 T^{8} - 2190979734288760016 T^{9} +$$$$71\!\cdots\!92$$$$T^{10} -$$$$36\!\cdots\!66$$$$T^{11} +$$$$32\!\cdots\!69$$$$T^{12}$$)($$1 + 130 T + 30391 T^{2} + 2998230 T^{3} + 326681691 T^{4} + 23843677220 T^{5} + 2227000053402 T^{6} + 290106020735740 T^{7} + 48360614547208299 T^{8} + 5400269944178210490 T^{9} +$$$$66\!\cdots\!11$$$$T^{10} +$$$$34\!\cdots\!10$$$$T^{11} +$$$$32\!\cdots\!69$$$$T^{12}$$)($$1 - 138 T + 32652 T^{2} - 1216432 T^{3} + 94040274 T^{4} + 40765431978 T^{5} - 3153887021315 T^{6} + 495993010876326 T^{7} + 13921335563393586 T^{8} - 2190979734288760016 T^{9} +$$$$71\!\cdots\!92$$$$T^{10} -$$$$36\!\cdots\!66$$$$T^{11} +$$$$32\!\cdots\!69$$$$T^{12}$$)($$1 + 486 T + 162684 T^{2} + 37255348 T^{3} + 6879171978 T^{4} + 1003858321722 T^{5} + 122848436291065 T^{6} + 12213944200391574 T^{7} + 1018364339347118442 T^{8} + 67102569203930254124 T^{9} +$$$$35\!\cdots\!64$$$$T^{10} +$$$$12\!\cdots\!02$$$$T^{11} +$$$$32\!\cdots\!69$$$$T^{12}$$)($$1 + 282 T + 96374 T^{2} + 19165992 T^{3} + 3916904233 T^{4} + 607398307812 T^{5} + 92017489883586 T^{6} + 11501233197170886 T^{7} + 1381438032745537388 T^{8} +$$$$13\!\cdots\!62$$$$T^{9} +$$$$13\!\cdots\!54$$$$T^{10} +$$$$10\!\cdots\!56$$$$T^{11} +$$$$85\!\cdots\!93$$$$T^{12} +$$$$51\!\cdots\!44$$$$T^{13} +$$$$31\!\cdots\!06$$$$T^{14} +$$$$11\!\cdots\!86$$$$T^{15} +$$$$48\!\cdots\!41$$$$T^{16}$$)($$1 + 282 T + 96374 T^{2} + 19165992 T^{3} + 3916904233 T^{4} + 607398307812 T^{5} + 92017489883586 T^{6} + 11501233197170886 T^{7} + 1381438032745537388 T^{8} +$$$$13\!\cdots\!62$$$$T^{9} +$$$$13\!\cdots\!54$$$$T^{10} +$$$$10\!\cdots\!56$$$$T^{11} +$$$$85\!\cdots\!93$$$$T^{12} +$$$$51\!\cdots\!44$$$$T^{13} +$$$$31\!\cdots\!06$$$$T^{14} +$$$$11\!\cdots\!86$$$$T^{15} +$$$$48\!\cdots\!41$$$$T^{16}$$)($$1 - 228 T + 80469 T^{2} - 15670058 T^{3} + 3313098777 T^{4} - 526902951366 T^{5} + 84790339074442 T^{6} - 11210114375884968 T^{7} + 1472348967454259865 T^{8} -$$$$16\!\cdots\!48$$$$T^{9} +$$$$17\!\cdots\!55$$$$T^{10} -$$$$16\!\cdots\!52$$$$T^{11} +$$$$15\!\cdots\!46$$$$T^{12} -$$$$11\!\cdots\!86$$$$T^{13} +$$$$88\!\cdots\!39$$$$T^{14} -$$$$50\!\cdots\!02$$$$T^{15} +$$$$31\!\cdots\!87$$$$T^{16} -$$$$10\!\cdots\!48$$$$T^{17} +$$$$58\!\cdots\!47$$$$T^{18}$$)($$1 + 24 T + 73329 T^{2} + 2890106 T^{3} + 2581748613 T^{4} + 132261771150 T^{5} + 58053730623862 T^{6} + 3301053591860724 T^{7} + 936388573900294149 T^{8} + 50515352443493988896 T^{9} +$$$$11\!\cdots\!83$$$$T^{10} +$$$$48\!\cdots\!36$$$$T^{11} +$$$$10\!\cdots\!06$$$$T^{12} +$$$$28\!\cdots\!50$$$$T^{13} +$$$$68\!\cdots\!91$$$$T^{14} +$$$$93\!\cdots\!14$$$$T^{15} +$$$$28\!\cdots\!67$$$$T^{16} +$$$$11\!\cdots\!84$$$$T^{17} +$$$$58\!\cdots\!47$$$$T^{18}$$)($$1 + 24 T + 73329 T^{2} + 2890106 T^{3} + 2581748613 T^{4} + 132261771150 T^{5} + 58053730623862 T^{6} + 3301053591860724 T^{7} + 936388573900294149 T^{8} + 50515352443493988896 T^{9} +$$$$11\!\cdots\!83$$$$T^{10} +$$$$48\!\cdots\!36$$$$T^{11} +$$$$10\!\cdots\!06$$$$T^{12} +$$$$28\!\cdots\!50$$$$T^{13} +$$$$68\!\cdots\!91$$$$T^{14} +$$$$93\!\cdots\!14$$$$T^{15} +$$$$28\!\cdots\!67$$$$T^{16} +$$$$11\!\cdots\!84$$$$T^{17} +$$$$58\!\cdots\!47$$$$T^{18}$$)($$1 - 228 T + 80469 T^{2} - 15670058 T^{3} + 3313098777 T^{4} - 526902951366 T^{5} + 84790339074442 T^{6} - 11210114375884968 T^{7} + 1472348967454259865 T^{8} -$$$$16\!\cdots\!48$$$$T^{9} +$$$$17\!\cdots\!55$$$$T^{10} -$$$$16\!\cdots\!52$$$$T^{11} +$$$$15\!\cdots\!46$$$$T^{12} -$$$$11\!\cdots\!86$$$$T^{13} +$$$$88\!\cdots\!39$$$$T^{14} -$$$$50\!\cdots\!02$$$$T^{15} +$$$$31\!\cdots\!87$$$$T^{16} -$$$$10\!\cdots\!48$$$$T^{17} +$$$$58\!\cdots\!47$$$$T^{18}$$)($$1 - 330 T + 108562 T^{2} - 23573516 T^{3} + 4879988623 T^{4} - 831315742664 T^{5} + 136162048167062 T^{6} - 19704218113439170 T^{7} + 2768984930971744179 T^{8} -$$$$35\!\cdots\!60$$$$T^{9} +$$$$44\!\cdots\!60$$$$T^{10} -$$$$51\!\cdots\!92$$$$T^{11} +$$$$58\!\cdots\!10$$$$T^{12} -$$$$62\!\cdots\!64$$$$T^{13} +$$$$65\!\cdots\!40$$$$T^{14} -$$$$63\!\cdots\!80$$$$T^{15} +$$$$60\!\cdots\!59$$$$T^{16} -$$$$52\!\cdots\!90$$$$T^{17} +$$$$44\!\cdots\!78$$$$T^{18} -$$$$32\!\cdots\!72$$$$T^{19} +$$$$23\!\cdots\!43$$$$T^{20} -$$$$13\!\cdots\!52$$$$T^{21} +$$$$77\!\cdots\!38$$$$T^{22} -$$$$28\!\cdots\!90$$$$T^{23} +$$$$10\!\cdots\!61$$$$T^{24}$$)($$1 - 330 T + 108562 T^{2} - 23573516 T^{3} + 4879988623 T^{4} - 831315742664 T^{5} + 136162048167062 T^{6} - 19704218113439170 T^{7} + 2768984930971744179 T^{8} -$$$$35\!\cdots\!60$$$$T^{9} +$$$$44\!\cdots\!60$$$$T^{10} -$$$$51\!\cdots\!92$$$$T^{11} +$$$$58\!\cdots\!10$$$$T^{12} -$$$$62\!\cdots\!64$$$$T^{13} +$$$$65\!\cdots\!40$$$$T^{14} -$$$$63\!\cdots\!80$$$$T^{15} +$$$$60\!\cdots\!59$$$$T^{16} -$$$$52\!\cdots\!90$$$$T^{17} +$$$$44\!\cdots\!78$$$$T^{18} -$$$$32\!\cdots\!72$$$$T^{19} +$$$$23\!\cdots\!43$$$$T^{20} -$$$$13\!\cdots\!52$$$$T^{21} +$$$$77\!\cdots\!38$$$$T^{22} -$$$$28\!\cdots\!90$$$$T^{23} +$$$$10\!\cdots\!61$$$$T^{24}$$)
$29$ ($$1 - 118 T + 24389 T^{2}$$)($$1 + 300 T + 24389 T^{2}$$)($$1 - 100 T + 24389 T^{2}$$)($$1 - 278 T + 24389 T^{2}$$)($$1 - 300 T + 24389 T^{2}$$)($$1 + 100 T + 24389 T^{2}$$)($$1 + 102 T + 24389 T^{2}$$)($$1 + 130 T + 24389 T^{2}$$)($$1 + 30 T + 24389 T^{2}$$)($$1 - 130 T + 43758 T^{2} - 3170570 T^{3} + 594823321 T^{4}$$)($$1 + 64 T + 49322 T^{2} + 1560896 T^{3} + 594823321 T^{4}$$)($$1 - 20 T + 44510 T^{2} - 487780 T^{3} + 594823321 T^{4}$$)($$1 + 390 T + 83986 T^{2} + 9511710 T^{3} + 594823321 T^{4}$$)($$1 - 252 T + 54862 T^{2} - 6146028 T^{3} + 594823321 T^{4}$$)($$1 - 390 T + 83986 T^{2} - 9511710 T^{3} + 594823321 T^{4}$$)($$1 + 130 T + 43758 T^{2} + 3170570 T^{3} + 594823321 T^{4}$$)($$1 - 64 T + 49322 T^{2} - 1560896 T^{3} + 594823321 T^{4}$$)($$1 - 272 T + 67731 T^{2} - 13040528 T^{3} + 1651891359 T^{4} - 161791943312 T^{5} + 14507145975869 T^{6}$$)($$1 + 8 T + 30351 T^{2} + 83792 T^{3} + 740230539 T^{4} + 4758586568 T^{5} + 14507145975869 T^{6}$$)($$1 + 92 T + 43023 T^{2} + 5789912 T^{3} + 1049287947 T^{4} + 54723745532 T^{5} + 14507145975869 T^{6}$$)($$1 - 92 T + 43023 T^{2} - 5789912 T^{3} + 1049287947 T^{4} - 54723745532 T^{5} + 14507145975869 T^{6}$$)($$1 + 272 T + 67731 T^{2} + 13040528 T^{3} + 1651891359 T^{4} + 161791943312 T^{5} + 14507145975869 T^{6}$$)($$1 - 8 T + 30351 T^{2} - 83792 T^{3} + 740230539 T^{4} - 4758586568 T^{5} + 14507145975869 T^{6}$$)($$1 - 75 T - 1235 T^{2} + 1986265 T^{3} + 32860972 T^{4} + 48443017085 T^{5} - 734606801435 T^{6} - 1088035948190175 T^{7} + 353814783205469041 T^{8}$$)($$1 + 387 T + 145055 T^{2} + 29881107 T^{3} + 5851346584 T^{4} + 728770318623 T^{5} + 86282096827655 T^{6} + 5614265492661303 T^{7} + 353814783205469041 T^{8}$$)($$1 - 387 T + 145055 T^{2} - 29881107 T^{3} + 5851346584 T^{4} - 728770318623 T^{5} + 86282096827655 T^{6} - 5614265492661303 T^{7} + 353814783205469041 T^{8}$$)($$1 + 75 T - 1235 T^{2} - 1986265 T^{3} + 32860972 T^{4} - 48443017085 T^{5} - 734606801435 T^{6} + 1088035948190175 T^{7} + 353814783205469041 T^{8}$$)($$1 - 183 T + 63096 T^{2} - 9045274 T^{3} + 1792333425 T^{4} - 239962914729 T^{5} + 37081269154159 T^{6} - 5852455527325581 T^{7} + 1066121720197804425 T^{8} -$$$$13\!\cdots\!06$$$$T^{9} +$$$$22\!\cdots\!36$$$$T^{10} -$$$$15\!\cdots\!67$$$$T^{11} +$$$$21\!\cdots\!61$$$$T^{12}$$)($$1 - 570 T + 247649 T^{2} - 71882454 T^{3} + 17784607350 T^{4} - 3475061513338 T^{5} + 600200088767104 T^{6} - 84753275248800482 T^{7} + 10578699206608009350 T^{8} -$$$$10\!\cdots\!26$$$$T^{9} +$$$$87\!\cdots\!09$$$$T^{10} -$$$$49\!\cdots\!30$$$$T^{11} +$$$$21\!\cdots\!61$$$$T^{12}$$)($$1 - 177 T + 92526 T^{2} - 8983228 T^{3} + 2756172003 T^{4} - 103223101467 T^{5} + 53091717319951 T^{6} - 2517508221678663 T^{7} + 1639435384071681963 T^{8} -$$$$13\!\cdots\!32$$$$T^{9} +$$$$32\!\cdots\!66$$$$T^{10} -$$$$15\!\cdots\!73$$$$T^{11} +$$$$21\!\cdots\!61$$$$T^{12}$$)($$1 + 570 T + 247649 T^{2} + 71882454 T^{3} + 17784607350 T^{4} + 3475061513338 T^{5} + 600200088767104 T^{6} + 84753275248800482 T^{7} + 10578699206608009350 T^{8} +$$$$10\!\cdots\!26$$$$T^{9} +$$$$87\!\cdots\!09$$$$T^{10} +$$$$49\!\cdots\!30$$$$T^{11} +$$$$21\!\cdots\!61$$$$T^{12}$$)($$1 + 177 T + 92526 T^{2} + 8983228 T^{3} + 2756172003 T^{4} + 103223101467 T^{5} + 53091717319951 T^{6} + 2517508221678663 T^{7} + 1639435384071681963 T^{8} +$$$$13\!\cdots\!32$$$$T^{9} +$$$$32\!\cdots\!66$$$$T^{10} +$$$$15\!\cdots\!73$$$$T^{11} +$$$$21\!\cdots\!61$$$$T^{12}$$)($$1 + 183 T + 63096 T^{2} + 9045274 T^{3} + 1792333425 T^{4} + 239962914729 T^{5} + 37081269154159 T^{6} + 5852455527325581 T^{7} + 1066121720197804425 T^{8} +$$$$13\!\cdots\!06$$$$T^{9} +$$$$22\!\cdots\!36$$$$T^{10} +$$$$15\!\cdots\!67$$$$T^{11} +$$$$21\!\cdots\!61$$$$T^{12}$$)($$1 - 380 T + 197859 T^{2} - 53110320 T^{3} + 15984351655 T^{4} - 3345626311400 T^{5} + 738336833273101 T^{6} - 125492015029704300 T^{7} + 22026806746288115584 T^{8} -$$$$30\!\cdots\!00$$$$T^{9} +$$$$43\!\cdots\!21$$$$T^{10} -$$$$48\!\cdots\!00$$$$T^{11} +$$$$56\!\cdots\!55$$$$T^{12} -$$$$45\!\cdots\!80$$$$T^{13} +$$$$41\!\cdots\!99$$$$T^{14} -$$$$19\!\cdots\!20$$$$T^{15} +$$$$12\!\cdots\!81$$$$T^{16}$$)($$1 + 380 T + 197859 T^{2} + 53110320 T^{3} + 15984351655 T^{4} + 3345626311400 T^{5} + 738336833273101 T^{6} + 125492015029704300 T^{7} + 22026806746288115584 T^{8} +$$$$30\!\cdots\!00$$$$T^{9} +$$$$43\!\cdots\!21$$$$T^{10} +$$$$48\!\cdots\!00$$$$T^{11} +$$$$56\!\cdots\!55$$$$T^{12} +$$$$45\!\cdots\!80$$$$T^{13} +$$$$41\!\cdots\!99$$$$T^{14} +$$$$19\!\cdots\!20$$$$T^{15} +$$$$12\!\cdots\!81$$$$T^{16}$$)($$1 + 459 T + 217137 T^{2} + 62012671 T^{3} + 17627479350 T^{4} + 3847786931340 T^{5} + 838690472680567 T^{6} + 152534965340188593 T^{7} + 27729309356451127953 T^{8} +$$$$43\!\cdots\!58$$$$T^{9} +$$$$67\!\cdots\!17$$$$T^{10} +$$$$90\!\cdots\!53$$$$T^{11} +$$$$12\!\cdots\!23$$$$T^{12} +$$$$13\!\cdots\!40$$$$T^{13} +$$$$15\!\cdots\!50$$$$T^{14} +$$$$13\!\cdots\!31$$$$T^{15} +$$$$11\!\cdots\!73$$$$T^{16} +$$$$57\!\cdots\!79$$$$T^{17} +$$$$30\!\cdots\!09$$$$T^{18}$$)($$1 + 225 T + 110955 T^{2} + 14449559 T^{3} + 5674004022 T^{4} + 651578343342 T^{5} + 236849237077983 T^{6} + 23527722029317257 T^{7} + 7119670758813600903 T^{8} +$$$$59\!\cdots\!02$$$$T^{9} +$$$$17\!\cdots\!67$$$$T^{10} +$$$$13\!\cdots\!97$$$$T^{11} +$$$$34\!\cdots\!27$$$$T^{12} +$$$$23\!\cdots\!22$$$$T^{13} +$$$$48\!\cdots\!78$$$$T^{14} +$$$$30\!\cdots\!99$$$$T^{15} +$$$$56\!\cdots\!95$$$$T^{16} +$$$$28\!\cdots\!25$$$$T^{17} +$$$$30\!\cdots\!09$$$$T^{18}$$)($$1 - 225 T + 110955 T^{2} - 14449559 T^{3} + 5674004022 T^{4} - 651578343342 T^{5} + 236849237077983 T^{6} - 23527722029317257 T^{7} + 7119670758813600903 T^{8} -$$$$59\!\cdots\!02$$$$T^{9} +$$$$17\!\cdots\!67$$$$T^{10} -$$$$13\!\cdots\!97$$$$T^{11} +$$$$34\!\cdots\!27$$$$T^{12} -$$$$23\!\cdots\!22$$$$T^{13} +$$$$48\!\cdots\!78$$$$T^{14} -$$$$30\!\cdots\!99$$$$T^{15} +$$$$56\!\cdots\!95$$$$T^{16} -$$$$28\!\cdots\!25$$$$T^{17} +$$$$30\!\cdots\!09$$$$T^{18}$$)($$1 - 459 T + 217137 T^{2} - 62012671 T^{3} + 17627479350 T^{4} - 3847786931340 T^{5} + 838690472680567 T^{6} - 152534965340188593 T^{7} + 27729309356451127953 T^{8} -$$$$43\!\cdots\!58$$$$T^{9} +$$$$67\!\cdots\!17$$$$T^{10} -$$$$90\!\cdots\!53$$$$T^{11} +$$$$12\!\cdots\!23$$$$T^{12} -$$$$13\!\cdots\!40$$$$T^{13} +$$$$15\!\cdots\!50$$$$T^{14} -$$$$13\!\cdots\!31$$$$T^{15} +$$$$11\!\cdots\!73$$$$T^{16} -$$$$57\!\cdots\!79$$$$T^{17} +$$$$30\!\cdots\!09$$$$T^{18}$$)($$1 + 282 T + 184898 T^{2} + 47449002 T^{3} + 17710972053 T^{4} + 3966026477510 T^{5} + 1119558776654376 T^{6} + 220253475948983196 T^{7} + 51351394539493802696 T^{8} +$$$$89\!\cdots\!62$$$$T^{9} +$$$$18\!\cdots\!46$$$$T^{10} +$$$$28\!\cdots\!96$$$$T^{11} +$$$$49\!\cdots\!76$$$$T^{12} +$$$$68\!\cdots\!44$$$$T^{13} +$$$$10\!\cdots\!66$$$$T^{14} +$$$$13\!\cdots\!78$$$$T^{15} +$$$$18\!\cdots\!36$$$$T^{16} +$$$$19\!\cdots\!04$$$$T^{17} +$$$$23\!\cdots\!36$$$$T^{18} +$$$$20\!\cdots\!90$$$$T^{19} +$$$$22\!\cdots\!93$$$$T^{20} +$$$$14\!\cdots\!18$$$$T^{21} +$$$$13\!\cdots\!98$$$$T^{22} +$$$$51\!\cdots\!98$$$$T^{23} +$$$$44\!\cdots\!21$$$$T^{24}$$)($$1 - 282 T + 184898 T^{2} - 47449002 T^{3} + 17710972053 T^{4} - 3966026477510 T^{5} + 1119558776654376 T^{6} - 220253475948983196 T^{7} + 51351394539493802696 T^{8} -$$$$89\!\cdots\!62$$$$T^{9} +$$$$18\!\cdots\!46$$$$T^{10} -$$$$28\!\cdots\!96$$$$T^{11} +$$$$49\!\cdots\!76$$$$T^{12} -$$$$68\!\cdots\!44$$$$T^{13} +$$$$10\!\cdots\!66$$$$T^{14} -$$$$13\!\cdots\!78$$$$T^{15} +$$$$18\!\cdots\!36$$$$T^{16} -$$$$19\!\cdots\!04$$$$T^{17} +$$$$23\!\cdots\!36$$$$T^{18} -$$$$20\!\cdots\!90$$$$T^{19} +$$$$22\!\cdots\!93$$$$T^{20} -$$$$14\!\cdots\!18$$$$T^{21} +$$$$13\!\cdots\!98$$$$T^{22} -$$$$51\!\cdots\!98$$$$T^{23} +$$$$44\!\cdots\!21$$$$T^{24}$$)
$31$ ($$1 + 70 T + 29791 T^{2}$$)($$1 + 225 T + 29791 T^{2}$$)($$1 - 103 T + 29791 T^{2}$$)($$1 + 94 T + 29791 T^{2}$$)($$1 - 225 T + 29791 T^{2}$$)($$1 + 103 T + 29791 T^{2}$$)($$1 + 18 T + 29791 T^{2}$$)($$1 + 262 T + 29791 T^{2}$$)($$1 - 88 T + 29791 T^{2}$$)($$1 - 239 T + 41461 T^{2} - 7120049 T^{3} + 887503681 T^{4}$$)($$1 + 218 T + 56943 T^{2} + 6494438 T^{3} + 887503681 T^{4}$$)($$1 - 238 T + 27606 T^{2} - 7090258 T^{3} + 887503681 T^{4}$$)($$1 - 192 T + 23726 T^{2} - 5719872 T^{3} + 887503681 T^{4}$$)($$1 - 338 T + 69630 T^{2} - 10069358 T^{3} + 887503681 T^{4}$$)($$1 + 192 T + 23726 T^{2} + 5719872 T^{3} + 887503681 T^{4}$$)($$1 + 239 T + 41461 T^{2} + 7120049 T^{3} + 887503681 T^{4}$$)($$1 - 218 T + 56943 T^{2} - 6494438 T^{3} + 887503681 T^{4}$$)($$1 - 64 T + 70389 T^{2} - 3951200 T^{3} + 2096958699 T^{4} - 56800235584 T^{5} + 26439622160671 T^{6}$$)($$1 - 107 T + 75368 T^{2} - 4940027 T^{3} + 2245288088 T^{4} - 94962893867 T^{5} + 26439622160671 T^{6}$$)($$1 - 109 T + 15884 T^{2} + 3227519 T^{3} + 473200244 T^{4} - 96737901229 T^{5} + 26439622160671 T^{6}$$)($$1 + 109 T + 15884 T^{2} - 3227519 T^{3} + 473200244 T^{4} + 96737901229 T^{5} + 26439622160671 T^{6}$$)($$1 + 64 T + 70389 T^{2} + 3951200 T^{3} + 2096958699 T^{4} + 56800235584 T^{5} + 26439622160671 T^{6}$$)($$1 + 107 T + 75368 T^{2} + 4940027 T^{3} + 2245288088 T^{4} + 94962893867 T^{5} + 26439622160671 T^{6}$$)($$1 + 419 T + 144391 T^{2} + 30711383 T^{3} + 6204806576 T^{4} + 914922810953 T^{5} + 128147544003271 T^{6} + 11078201685321149 T^{7} + 787662783788549761 T^{8}$$)($$1 - 419 T + 153907 T^{2} - 34941035 T^{3} + 7274172296 T^{4} - 1040928373685 T^{5} + 136593029031667 T^{6} - 11078201685321149 T^{7} + 787662783788549761 T^{8}$$)($$1 + 419 T + 153907 T^{2} + 34941035 T^{3} + 7274172296 T^{4} + 1040928373685 T^{5} + 136593029031667 T^{6} + 11078201685321149 T^{7} + 787662783788549761 T^{8}$$)($$1 - 419 T + 144391 T^{2} - 30711383 T^{3} + 6204806576 T^{4} - 914922810953 T^{5} + 128147544003271 T^{6} - 11078201685321149 T^{7} + 787662783788549761 T^{8}$$)($$1 - 345 T + 178413 T^{2} - 46671054 T^{3} + 13349448624 T^{4} - 2647025145294 T^{5} + 531648727189447 T^{6} - 78857526103453554 T^{7} + 11847684793120384944 T^{8} -$$$$12\!\cdots\!34$$$$T^{9} +$$$$14\!\cdots\!93$$$$T^{10} -$$$$80\!\cdots\!95$$$$T^{11} +$$$$69\!\cdots\!41$$$$T^{12}$$)($$1 + 679 T + 274301 T^{2} + 74520857 T^{3} + 16120840659 T^{4} + 2931915151826 T^{5} + 513550795967838 T^{6} + 87344684288048366 T^{7} + 14307305425676965779 T^{8} +$$$$19\!\cdots\!47$$$$T^{9} +$$$$21\!\cdots\!61$$$$T^{10} +$$$$15\!\cdots\!29$$$$T^{11} +$$$$69\!\cdots\!41$$$$T^{12}$$)($$1 - 99 T + 82821 T^{2} - 14503896 T^{3} + 4254485892 T^{4} - 690474420018 T^{5} + 161707270985737 T^{6} - 20569923446756238 T^{7} + 3775871889912568452 T^{8} -$$$$38\!\cdots\!16$$$$T^{9} +$$$$65\!\cdots\!81$$$$T^{10} -$$$$23\!\cdots\!49$$$$T^{11} +$$$$69\!\cdots\!41$$$$T^{12}$$)($$1 - 679 T + 274301 T^{2} - 74520857 T^{3} + 16120840659 T^{4} - 2931915151826 T^{5} + 513550795967838 T^{6} - 87344684288048366 T^{7} + 14307305425676965779 T^{8} -$$$$19\!\cdots\!47$$$$T^{9} +$$$$21\!\cdots\!61$$$$T^{10} -$$$$15\!\cdots\!29$$$$T^{11} +$$$$69\!\cdots\!41$$$$T^{12}$$)($$1 + 99 T + 82821 T^{2} + 14503896 T^{3} + 4254485892 T^{4} + 690474420018 T^{5} + 161707270985737 T^{6} + 20569923446756238 T^{7} + 3775871889912568452 T^{8} +$$$$38\!\cdots\!16$$$$T^{9} +$$$$65\!\cdots\!81$$$$T^{10} +$$$$23\!\cdots\!49$$$$T^{11} +$$$$69\!\cdots\!41$$$$T^{12}$$)($$1 + 345 T + 178413 T^{2} + 46671054 T^{3} + 13349448624 T^{4} + 2647025145294 T^{5} + 531648727189447 T^{6} + 78857526103453554 T^{7} + 11847684793120384944 T^{8} +$$$$12\!\cdots\!34$$$$T^{9} +$$$$14\!\cdots\!93$$$$T^{10} +$$$$80\!\cdots\!95$$$$T^{11} +$$$$69\!\cdots\!41$$$$T^{12}$$)($$1 - 48 T + 176083 T^{2} - 1232484 T^{3} + 13596607367 T^{4} + 372534277080 T^{5} + 639462302801877 T^{6} + 29820068222861292 T^{7} + 21702552826623055920 T^{8} +$$$$88\!\cdots\!72$$$$T^{9} +$$$$56\!\cdots\!37$$$$T^{10} +$$$$98\!\cdots\!80$$$$T^{11} +$$$$10\!\cdots\!87$$$$T^{12} -$$$$28\!\cdots\!84$$$$T^{13} +$$$$12\!\cdots\!03$$$$T^{14} -$$$$99\!\cdots\!88$$$$T^{15} +$$$$62\!\cdots\!21$$$$T^{16}$$)($$1 + 48 T + 176083 T^{2} + 1232484 T^{3} + 13596607367 T^{4} - 372534277080 T^{5} + 639462302801877 T^{6} - 29820068222861292 T^{7} + 21702552826623055920 T^{8} -$$$$88\!\cdots\!72$$$$T^{9} +$$$$56\!\cdots\!37$$$$T^{10} -$$$$98\!\cdots\!80$$$$T^{11} +$$$$10\!\cdots\!87$$$$T^{12} +$$$$28\!\cdots\!84$$$$T^{13} +$$$$12\!\cdots\!03$$$$T^{14} +$$$$99\!\cdots\!88$$$$T^{15} +$$$$62\!\cdots\!21$$$$T^{16}$$)($$1 + 243 T + 252639 T^{2} + 51174703 T^{3} + 28548385137 T^{4} + 4870847271771 T^{5} + 1907769234794204 T^{6} + 274413953288651247 T^{7} + 83487386930069258523 T^{8} +$$$$10\!\cdots\!03$$$$T^{9} +$$$$24\!\cdots\!93$$$$T^{10} +$$$$24\!\cdots\!07$$$$T^{11} +$$$$50\!\cdots\!84$$$$T^{12} +$$$$38\!\cdots\!31$$$$T^{13} +$$$$66\!\cdots\!87$$$$T^{14} +$$$$35\!\cdots\!23$$$$T^{15} +$$$$52\!\cdots\!09$$$$T^{16} +$$$$15\!\cdots\!03$$$$T^{17} +$$$$18\!\cdots\!11$$$$T^{18}$$)($$1 + 429 T + 117171 T^{2} + 19216335 T^{3} + 2459665653 T^{4} + 225210686025 T^{5} + 44269554645428 T^{6} + 16495709684515461 T^{7} + 5158793393252825691 T^{8} +$$$$10\!\cdots\!75$$$$T^{9} +$$$$15\!\cdots\!81$$$$T^{10} +$$$$14\!\cdots\!41$$$$T^{11} +$$$$11\!\cdots\!88$$$$T^{12} +$$$$17\!\cdots\!25$$$$T^{13} +$$$$57\!\cdots\!03$$$$T^{14} +$$$$13\!\cdots\!35$$$$T^{15} +$$$$24\!\cdots\!01$$$$T^{16} +$$$$26\!\cdots\!09$$$$T^{17} +$$$$18\!\cdots\!11$$$$T^{18}$$)($$1 - 429 T + 117171 T^{2} - 19216335 T^{3} + 2459665653 T^{4} - 225210686025 T^{5} + 44269554645428 T^{6} - 16495709684515461 T^{7} + 5158793393252825691 T^{8} -$$$$10\!\cdots\!75$$$$T^{9} +$$$$15\!\cdots\!81$$$$T^{10} -$$$$14\!\cdots\!41$$$$T^{11} +$$$$11\!\cdots\!88$$$$T^{12} -$$$$17\!\cdots\!25$$$$T^{13} +$$$$57\!\cdots\!03$$$$T^{14} -$$$$13\!\cdots\!35$$$$T^{15} +$$$$24\!\cdots\!01$$$$T^{16} -$$$$26\!\cdots\!09$$$$T^{17} +$$$$18\!\cdots\!11$$$$T^{18}$$)($$1 - 243 T + 252639 T^{2} - 51174703 T^{3} + 28548385137 T^{4} - 4870847271771 T^{5} + 1907769234794204 T^{6} - 274413953288651247 T^{7} + 83487386930069258523 T^{8} -$$$$10\!\cdots\!03$$$$T^{9} +$$$$24\!\cdots\!93$$$$T^{10} -$$$$24\!\cdots\!07$$$$T^{11} +$$$$50\!\cdots\!84$$$$T^{12} -$$$$38\!\cdots\!31$$$$T^{13} +$$$$66\!\cdots\!87$$$$T^{14} -$$$$35\!\cdots\!23$$$$T^{15} +$$$$52\!\cdots\!09$$$$T^{16} -$$$$15\!\cdots\!03$$$$T^{17} +$$$$18\!\cdots\!11$$$$T^{18}$$)($$1 + 304 T + 212247 T^{2} + 51302172 T^{3} + 21568330961 T^{4} + 4517497965360 T^{5} + 1456221500834983 T^{6} + 272840557693488988 T^{7} + 73748565114031550747 T^{8} +$$$$12\!\cdots\!28$$$$T^{9} +$$$$29\!\cdots\!30$$$$T^{10} +$$$$45\!\cdots\!48$$$$T^{11} +$$$$97\!\cdots\!58$$$$T^{12} +$$$$13\!\cdots\!68$$$$T^{13} +$$$$26\!\cdots\!30$$$$T^{14} +$$$$33\!\cdots\!88$$$$T^{15} +$$$$58\!\cdots\!67$$$$T^{16} +$$$$64\!\cdots\!88$$$$T^{17} +$$$$10\!\cdots\!03$$$$T^{18} +$$$$94\!\cdots\!60$$$$T^{19} +$$$$13\!\cdots\!81$$$$T^{20} +$$$$94\!\cdots\!92$$$$T^{21} +$$$$11\!\cdots\!47$$$$T^{22} +$$$$49\!\cdots\!64$$$$T^{23} +$$$$48\!\cdots\!81$$$$T^{24}$$)($$1 - 304 T + 212247 T^{2} - 51302172 T^{3} + 21568330961 T^{4} - 4517497965360 T^{5} + 1456221500834983 T^{6} - 272840557693488988 T^{7} + 73748565114031550747 T^{8} -$$$$12\!\cdots\!28$$$$T^{9} +$$$$29\!\cdots\!30$$$$T^{10} -$$$$45\!\cdots\!48$$$$T^{11} +$$$$97\!\cdots\!58$$$$T^{12} -$$$$13\!\cdots\!68$$$$T^{13} +$$$$26\!\cdots\!30$$$$T^{14} -$$$$33\!\cdots\!88$$$$T^{15} +$$$$58\!\cdots\!67$$$$T^{16} -$$$$64\!\cdots\!88$$$$T^{17} +$$$$10\!\cdots\!03$$$$T^{18} -$$$$94\!\cdots\!60$$$$T^{19} +$$$$13\!\cdots\!81$$$$T^{20} -$$$$94\!\cdots\!92$$$$T^{21} +$$$$11\!\cdots\!47$$$$T^{22} -$$$$49\!\cdots\!64$$$$T^{23} +$$$$48\!\cdots\!81$$$$T^{24}$$)
$37$ ($$1 + 232 T + 50653 T^{2}$$)($$1 + 293 T + 50653 T^{2}$$)($$1 - 187 T + 50653 T^{2}$$)($$1 + 160 T + 50653 T^{2}$$)($$1 - 293 T + 50653 T^{2}$$)($$1 + 187 T + 50653 T^{2}$$)($$1 - 296 T + 50653 T^{2}$$)($$1 - 296 T + 50653 T^{2}$$)($$1 + 254 T + 50653 T^{2}$$)($$1 - 148 T + 74782 T^{2} - 7496644 T^{3} + 2565726409 T^{4}$$)($$1 + 86 T + 55155 T^{2} + 4356158 T^{3} + 2565726409 T^{4}$$)($$1 - 262 T + 111642 T^{2} - 13271086 T^{3} + 2565726409 T^{4}$$)($$( 1 + 84 T + 50653 T^{2} )^{2}$$)($$1 - 158 T + 100050 T^{2} - 8003174 T^{3} + 2565726409 T^{4}$$)($$( 1 - 84 T + 50653 T^{2} )^{2}$$)($$1 + 148 T + 74782 T^{2} + 7496644 T^{3} + 2565726409 T^{4}$$)($$1 - 86 T + 55155 T^{2} - 4356158 T^{3} + 2565726409 T^{4}$$)($$1 + 280 T + 173391 T^{2} + 28677584 T^{3} + 8782774323 T^{4} + 718403394520 T^{5} + 129961739795077 T^{6}$$)($$1 - 305 T + 26786 T^{2} - 1997981 T^{3} + 1356791258 T^{4} - 782546554745 T^{5} + 129961739795077 T^{6}$$)($$1 + 245 T + 80954 T^{2} + 26137769 T^{3} + 4100562962 T^{4} + 628602970205 T^{5} + 129961739795077 T^{6}$$)($$1 - 245 T + 80954 T^{2} - 26137769 T^{3} + 4100562962 T^{4} - 628602970205 T^{5} + 129961739795077 T^{6}$$)($$1 - 280 T + 173391 T^{2} - 28677584 T^{3} + 8782774323 T^{4} - 718403394520 T^{5} + 129961739795077 T^{6}$$)($$1 + 305 T + 26786 T^{2} + 1997981 T^{3} + 1356791258 T^{4} + 782546554745 T^{5} + 129961739795077 T^{6}$$)($$1 + 131 T + 137243 T^{2} + 4959945 T^{3} + 7936494736 T^{4} + 251236094085 T^{5} + 352127989550387 T^{6} + 17024987913155087 T^{7} + 6582952005840035281 T^{8}$$)($$1 - 68 T + 94788 T^{2} + 5382068 T^{3} + 3899273990 T^{4} + 272617890404 T^{5} + 243200074856292 T^{6} - 8837398306065236 T^{7} + 6582952005840035281 T^{8}$$)($$1 + 68 T + 94788 T^{2} - 5382068 T^{3} + 3899273990 T^{4} - 272617890404 T^{5} + 243200074856292 T^{6} + 8837398306065236 T^{7} + 6582952005840035281 T^{8}$$)($$1 - 131 T + 137243 T^{2} - 4959945 T^{3} + 7936494736 T^{4} - 251236094085 T^{5} + 352127989550387 T^{6} - 17024987913155087 T^{7} + 6582952005840035281 T^{8}$$)($$1 - 255 T + 191598 T^{2} - 38036040 T^{3} + 17160652335 T^{4} - 3073230634713 T^{5} + 1043490508188799 T^{6} - 155668351340117589 T^{7} + 44029538891577015015 T^{8} -$$$$49\!\cdots\!80$$$$T^{9} +$$$$12\!\cdots\!38$$$$T^{10} -$$$$85\!\cdots\!15$$$$T^{11} +$$$$16\!\cdots\!29$$$$T^{12}$$)($$1 - 37 T + 137425 T^{2} - 958685 T^{3} + 9193309627 T^{4} + 444169666518 T^{5} + 478696190620390 T^{6} + 22498526118136254 T^{7} + 23587517296107839443 T^{8} -$$$$12\!\cdots\!45$$$$T^{9} +$$$$90\!\cdots\!25$$$$T^{10} -$$$$12\!\cdots\!41$$$$T^{11} +$$$$16\!\cdots\!29$$$$T^{12}$$)($$1 - 615 T + 403038 T^{2} - 154458510 T^{3} + 57663884601 T^{4} - 15549028133793 T^{5} + 4033508377644613 T^{6} - 787604922061016829 T^{7} +$$$$14\!\cdots\!09$$$$T^{8} -$$$$20\!\cdots\!70$$$$T^{9} +$$$$26\!\cdots\!78$$$$T^{10} -$$$$20\!\cdots\!95$$$$T^{11} +$$$$16\!\cdots\!29$$$$T^{12}$$)($$1 + 37 T + 137425 T^{2} + 958685 T^{3} + 9193309627 T^{4} - 444169666518 T^{5} + 478696190620390 T^{6} - 22498526118136254 T^{7} + 23587517296107839443 T^{8} +$$$$12\!\cdots\!45$$$$T^{9} +$$$$90\!\cdots\!25$$$$T^{10} +$$$$12\!\cdots\!41$$$$T^{11} +$$$$16\!\cdots\!29$$$$T^{12}$$)($$1 + 615 T + 403038 T^{2} + 154458510 T^{3} + 57663884601 T^{4} + 15549028133793 T^{5} + 4033508377644613 T^{6} + 787604922061016829 T^{7} +$$$$14\!\cdots\!09$$$$T^{8} +$$$$20\!\cdots\!70$$$$T^{9} +$$$$26\!\cdots\!78$$$$T^{10} +$$$$20\!\cdots\!95$$$$T^{11} +$$$$16\!\cdots\!29$$$$T^{12}$$)($$1 + 255 T + 191598 T^{2} + 38036040 T^{3} + 17160652335 T^{4} + 3073230634713 T^{5} + 1043490508188799 T^{6} + 155668351340117589 T^{7} + 44029538891577015015 T^{8} +$$$$49\!\cdots\!80$$$$T^{9} +$$$$12\!\cdots\!38$$$$T^{10} +$$$$85\!\cdots\!15$$$$T^{11} +$$$$16\!\cdots\!29$$$$T^{12}$$)($$1 - 168 T + 170447 T^{2} - 15757464 T^{3} + 9024812891 T^{4} + 648997425732 T^{5} - 10579755793115 T^{6} + 151484717984884668 T^{7} - 16354246613085476816 T^{8} +$$$$76\!\cdots\!04$$$$T^{9} -$$$$27\!\cdots\!35$$$$T^{10} +$$$$84\!\cdots\!64$$$$T^{11} +$$$$59\!\cdots\!71$$$$T^{12} -$$$$52\!\cdots\!52$$$$T^{13} +$$$$28\!\cdots\!63$$$$T^{14} -$$$$14\!\cdots\!16$$$$T^{15} +$$$$43\!\cdots\!61$$$$T^{16}$$)($$1 + 168 T + 170447 T^{2} + 15757464 T^{3} + 9024812891 T^{4} - 648997425732 T^{5} - 10579755793115 T^{6} - 151484717984884668 T^{7} - 16354246613085476816 T^{8} -$$$$76\!\cdots\!04$$$$T^{9} -$$$$27\!\cdots\!35$$$$T^{10} -$$$$84\!\cdots\!64$$$$T^{11} +$$$$59\!\cdots\!71$$$$T^{12} +$$$$52\!\cdots\!52$$$$T^{13} +$$$$28\!\cdots\!63$$$$T^{14} +$$$$14\!\cdots\!16$$$$T^{15} +$$$$43\!\cdots\!61$$$$T^{16}$$)($$1 + 711 T + 523818 T^{2} + 231697495 T^{3} + 100677857724 T^{4} + 33060508326603 T^{5} + 10707446897249600 T^{6} + 2840944079323392633 T^{7} +$$$$75\!\cdots\!24$$$$T^{8} +$$$$16\!\cdots\!29$$$$T^{9} +$$$$38\!\cdots\!72$$$$T^{10} +$$$$72\!\cdots\!97$$$$T^{11} +$$$$13\!\cdots\!00$$$$T^{12} +$$$$21\!\cdots\!43$$$$T^{13} +$$$$33\!\cdots\!32$$$$T^{14} +$$$$39\!\cdots\!55$$$$T^{15} +$$$$44\!\cdots\!66$$$$T^{16} +$$$$30\!\cdots\!71$$$$T^{17} +$$$$21\!\cdots\!33$$$$T^{18}$$)($$1 + 159 T + 180294 T^{2} + 23502683 T^{3} + 20138574336 T^{4} + 2837883228423 T^{5} + 1591537199434724 T^{6} + 217679104751315361 T^{7} + 99595801080445611192 T^{8} +$$$$13\!\cdots\!89$$$$T^{9} +$$$$50\!\cdots\!76$$$$T^{10} +$$$$55\!\cdots\!49$$$$T^{11} +$$$$20\!\cdots\!48$$$$T^{12} +$$$$18\!\cdots\!63$$$$T^{13} +$$$$67\!\cdots\!48$$$$T^{14} +$$$$39\!\cdots\!07$$$$T^{15} +$$$$15\!\cdots\!78$$$$T^{16} +$$$$68\!\cdots\!99$$$$T^{17} +$$$$21\!\cdots\!33$$$$T^{18}$$)($$1 - 159 T + 180294 T^{2} - 23502683 T^{3} + 20138574336 T^{4} - 2837883228423 T^{5} + 1591537199434724 T^{6} - 217679104751315361 T^{7} + 99595801080445611192 T^{8} -$$$$13\!\cdots\!89$$$$T^{9} +$$$$50\!\cdots\!76$$$$T^{10} -$$$$55\!\cdots\!49$$$$T^{11} +$$$$20\!\cdots\!48$$$$T^{12} -$$$$18\!\cdots\!63$$$$T^{13} +$$$$67\!\cdots\!48$$$$T^{14} -$$$$39\!\cdots\!07$$$$T^{15} +$$$$15\!\cdots\!78$$$$T^{16} -$$$$68\!\cdots\!99$$$$T^{17} +$$$$21\!\cdots\!33$$$$T^{18}$$)($$1 - 711 T + 523818 T^{2} - 231697495 T^{3} + 100677857724 T^{4} - 33060508326603 T^{5} + 10707446897249600 T^{6} - 2840944079323392633 T^{7} +$$$$75\!\cdots\!24$$$$T^{8} -$$$$16\!\cdots\!29$$$$T^{9} +$$$$38\!\cdots\!72$$$$T^{10} -$$$$72\!\cdots\!97$$$$T^{11} +$$$$13\!\cdots\!00$$$$T^{12} -$$$$21\!\cdots\!43$$$$T^{13} +$$$$33\!\cdots\!32$$$$T^{14} -$$$$39\!\cdots\!55$$$$T^{15} +$$$$44\!\cdots\!66$$$$T^{16} -$$$$30\!\cdots\!71$$$$T^{17} +$$$$21\!\cdots\!33$$$$T^{18}$$)($$1 - 280 T + 260539 T^{2} - 50905784 T^{3} + 31462367733 T^{4} - 4702021126172 T^{5} + 2584653474792559 T^{6} - 316048448785030148 T^{7} +$$$$17\!\cdots\!47$$$$T^{8} -$$$$20\!\cdots\!04$$$$T^{9} +$$$$11\!\cdots\!38$$$$T^{10} -$$$$12\!\cdots\!76$$$$T^{11} +$$$$61\!\cdots\!94$$$$T^{12} -$$$$65\!\cdots\!28$$$$T^{13} +$$$$28\!\cdots\!42$$$$T^{14} -$$$$26\!\cdots\!08$$$$T^{15} +$$$$11\!\cdots\!07$$$$T^{16} -$$$$10\!\cdots\!64$$$$T^{17} +$$$$43\!\cdots\!11$$$$T^{18} -$$$$40\!\cdots\!64$$$$T^{19} +$$$$13\!\cdots\!13$$$$T^{20} -$$$$11\!\cdots\!72$$$$T^{21} +$$$$28\!\cdots\!11$$$$T^{22} -$$$$15\!\cdots\!60$$$$T^{23} +$$$$28\!\cdots\!41$$$$T^{24}$$)($$1 + 280 T + 260539 T^{2} + 50905784 T^{3} + 31462367733 T^{4} + 4702021126172 T^{5} + 2584653474792559 T^{6} + 316048448785030148 T^{7} +$$$$17\!\cdots\!47$$$$T^{8} +$$$$20\!\cdots\!04$$$$T^{9} +$$$$11\!\cdots\!38$$$$T^{10} +$$$$12\!\cdots\!76$$$$T^{11} +$$$$61\!\cdots\!94$$$$T^{12} +$$$$65\!\cdots\!28$$$$T^{13} +$$$$28\!\cdots\!42$$$$T^{14} +$$$$26\!\cdots\!08$$$$T^{15} +$$$$11\!\cdots\!07$$$$T^{16} +$$$$10\!\cdots\!64$$$$T^{17} +$$$$43\!\cdots\!11$$$$T^{18} +$$$$40\!\cdots\!64$$$$T^{19} +$$$$13\!\cdots\!13$$$$T^{20} +$$$$11\!\cdots\!72$$$$T^{21} +$$$$28\!\cdots\!11$$$$T^{22} +$$$$15\!\cdots\!60$$$$T^{23} +$$$$28\!\cdots\!41$$$$T^{24}$$)
$41$ ($$1 + 8 T + 68921 T^{2}$$)($$1 - 176 T + 68921 T^{2}$$)($$1 + 128 T + 68921 T^{2}$$)($$1 + 400 T + 68921 T^{2}$$)($$1 + 176 T + 68921 T^{2}$$)($$1 - 128 T + 68921 T^{2}$$)($$1 + 134 T + 68921 T^{2}$$)($$1 - 8 T + 68921 T^{2}$$)($$1 + 42 T + 68921 T^{2}$$)($$1 + 331 T + 158201 T^{2} + 22812851 T^{3} + 4750104241 T^{4}$$)($$1 + 376 T + 168866 T^{2} + 25914296 T^{3} + 4750104241 T^{4}$$)($$1 - 122 T + 21170 T^{2} - 8408362 T^{3} + 4750104241 T^{4}$$)($$1 + 198 T + 144826 T^{2} + 13646358 T^{3} + 4750104241 T^{4}$$)($$1 + 142 T^{2} + 4750104241 T^{4}$$)($$1 - 198 T + 144826 T^{2} - 13646358 T^{3} + 4750104241 T^{4}$$)($$1 - 331 T + 158201 T^{2} - 22812851 T^{3} + 4750104241 T^{4}$$)($$1 - 376 T + 168866 T^{2} - 25914296 T^{3} + 4750104241 T^{4}$$)($$1 + 32 T + 129087 T^{2} + 11755376 T^{3} + 8896805127 T^{4} + 152003335712 T^{5} + 327381934393961 T^{6}$$)($$1 - 16 T + 40203 T^{2} - 9213088 T^{3} + 2770830963 T^{4} - 76001667856 T^{5} + 327381934393961 T^{6}$$)($$1 - 688 T + 295323 T^{2} - 84555424 T^{3} + 20353956483 T^{4} - 3268071717808 T^{5} + 327381934393961 T^{6}$$)($$1 + 688 T + 295323 T^{2} + 84555424 T^{3} + 20353956483 T^{4} + 3268071717808 T^{5} + 327381934393961 T^{6}$$)($$1 - 32 T + 129087 T^{2} - 11755376 T^{3} + 8896805127 T^{4} - 152003335712 T^{5} + 327381934393961 T^{6}$$)($$1 + 16 T + 40203 T^{2} + 9213088 T^{3} + 2770830963 T^{4} + 76001667856 T^{5} + 327381934393961 T^{6}$$)($$1 - 1134 T + 706149 T^{2} - 293912514 T^{3} + 89460671915 T^{4} - 20256744377394 T^{5} + 3354281359677909 T^{6} - 371251113602751774 T^{7} + 22563490300366186081 T^{8}$$)($$1 + 47 T - 38005 T^{2} + 9024551 T^{3} + 6075123928 T^{4} + 621981079471 T^{5} - 180527711679205 T^{6} + 15386950916516167 T^{7} + 22563490300366186081 T^{8}$$)($$1 - 47 T - 38005 T^{2} - 9024551 T^{3} + 6075123928 T^{4} - 621981079471 T^{5} - 180527711679205 T^{6} - 15386950916516167 T^{7} + 22563490300366186081 T^{8}$$)($$1 + 1134 T + 706149 T^{2} + 293912514 T^{3} + 89460671915 T^{4} + 20256744377394 T^{5} + 3354281359677909 T^{6} + 371251113602751774 T^{7} + 22563490300366186081 T^{8}$$)($$1 - 279 T + 213345 T^{2} - 54397936 T^{3} + 24900273594 T^{4} - 6354742166304 T^{5} + 2076476630904637 T^{6} - 437975184843837984 T^{7} +$$$$11\!\cdots\!54$$$$T^{8} -$$$$17\!\cdots\!96$$$$T^{9} +$$$$48\!\cdots\!45$$$$T^{10} -$$$$43\!\cdots\!79$$$$T^{11} +$$$$10\!\cdots\!21$$$$T^{12}$$)($$1 + 346 T + 261055 T^{2} + 57770660 T^{3} + 30791954696 T^{4} + 5531796413500 T^{5} + 2500614711613344 T^{6} + 381256940614833500 T^{7} +$$$$14\!\cdots\!36$$$$T^{8} +$$$$18\!\cdots\!60$$$$T^{9} +$$$$58\!\cdots\!55$$$$T^{10} +$$$$53\!\cdots\!46$$$$T^{11} +$$$$10\!\cdots\!21$$$$T^{12}$$)($$1 - 171 T + 203175 T^{2} - 5048650 T^{3} + 13670905014 T^{4} + 2581322402496 T^{5} + 609748918687123 T^{6} + 177907321302426816 T^{7} + 64938223885309564374 T^{8} -$$$$16\!\cdots\!50$$$$T^{9} +$$$$45\!\cdots\!75$$$$T^{10} -$$$$26\!\cdots\!71$$$$T^{11} +$$$$10\!\cdots\!21$$$$T^{12}$$)($$1 - 346 T + 261055 T^{2} - 57770660 T^{3} + 30791954696 T^{4} - 5531796413500 T^{5} + 2500614711613344 T^{6} - 381256940614833500 T^{7} +$$$$14\!\cdots\!36$$$$T^{8} -$$$$18\!\cdots\!60$$$$T^{9} +$$$$58\!\cdots\!55$$$$T^{10} -$$$$53\!\cdots\!46$$$$T^{11} +$$$$10\!\cdots\!21$$$$T^{12}$$)($$1 + 171 T + 203175 T^{2} + 5048650 T^{3} + 13670905014 T^{4} - 2581322402496 T^{5} + 609748918687123 T^{6} - 177907321302426816 T^{7} + 64938223885309564374 T^{8} +$$$$16\!\cdots\!50$$$$T^{9} +$$$$45\!\cdots\!75$$$$T^{10} +$$$$26\!\cdots\!71$$$$T^{11} +$$$$10\!\cdots\!21$$$$T^{12}$$)($$1 + 279 T + 213345 T^{2} + 54397936 T^{3} + 24900273594 T^{4} + 6354742166304 T^{5} + 2076476630904637 T^{6} + 437975184843837984 T^{7} +$$$$11\!\cdots\!54$$$$T^{8} +$$$$17\!\cdots\!96$$$$T^{9} +$$$$48\!\cdots\!45$$$$T^{10} +$$$$43\!\cdots\!79$$$$T^{11} +$$$$10\!\cdots\!21$$$$T^{12}$$)($$1 + 342 T + 438408 T^{2} + 133755956 T^{3} + 90737151637 T^{4} + 23950565899030 T^{5} + 11467046905391572 T^{6} + 2558924777430428992 T^{7} +$$$$96\!\cdots\!45$$$$T^{8} +$$$$17\!\cdots\!32$$$$T^{9} +$$$$54\!\cdots\!52$$$$T^{10} +$$$$78\!\cdots\!30$$$$T^{11} +$$$$20\!\cdots\!97$$$$T^{12} +$$$$20\!\cdots\!56$$$$T^{13} +$$$$46\!\cdots\!68$$$$T^{14} +$$$$25\!\cdots\!22$$$$T^{15} +$$$$50\!\cdots\!61$$$$T^{16}$$)($$1 - 342 T + 438408 T^{2} - 133755956 T^{3} + 90737151637 T^{4} - 23950565899030 T^{5} + 11467046905391572 T^{6} - 2558924777430428992 T^{7} +$$$$96\!\cdots\!45$$$$T^{8} -$$$$17\!\cdots\!32$$$$T^{9} +$$$$54\!\cdots\!52$$$$T^{10} -$$$$78\!\cdots\!30$$$$T^{11} +$$$$20\!\cdots\!97$$$$T^{12} -$$$$20\!\cdots\!56$$$$T^{13} +$$$$46\!\cdots\!68$$$$T^{14} -$$$$25\!\cdots\!22$$$$T^{15} +$$$$50\!\cdots\!61$$$$T^{16}$$)($$1 + 459 T + 366096 T^{2} + 130706881 T^{3} + 62307733416 T^{4} + 19028536320069 T^{5} + 7103307674991499 T^{6} + 1939812200843675661 T^{7} +$$$$61\!\cdots\!20$$$$T^{8} +$$$$15\!\cdots\!28$$$$T^{9} +$$$$42\!\cdots\!20$$$$T^{10} +$$$$92\!\cdots\!01$$$$T^{11} +$$$$23\!\cdots\!39$$$$T^{12} +$$$$42\!\cdots\!89$$$$T^{13} +$$$$96\!\cdots\!16$$$$T^{14} +$$$$14\!\cdots\!01$$$$T^{15} +$$$$27\!\cdots\!36$$$$T^{16} +$$$$23\!\cdots\!99$$$$T^{17} +$$$$35\!\cdots\!81$$$$T^{18}$$)($$1 + 567 T + 524118 T^{2} + 234426411 T^{3} + 124474931754 T^{4} + 45605934715203 T^{5} + 18005189552433671 T^{6} + 5510607956447467923 T^{7} +$$$$17\!\cdots\!08$$$$T^{8} +$$$$45\!\cdots\!04$$$$T^{9} +$$$$12\!\cdots\!68$$$$T^{10} +$$$$26\!\cdots\!43$$$$T^{11} +$$$$58\!\cdots\!31$$$$T^{12} +$$$$10\!\cdots\!43$$$$T^{13} +$$$$19\!\cdots\!54$$$$T^{14} +$$$$25\!\cdots\!31$$$$T^{15} +$$$$38\!\cdots\!38$$$$T^{16} +$$$$28\!\cdots\!87$$$$T^{17} +$$$$35\!\cdots\!81$$$$T^{18}$$)($$1 - 567 T + 524118 T^{2} - 234426411 T^{3} + 124474931754 T^{4} - 45605934715203 T^{5} + 18005189552433671 T^{6} - 5510607956447467923 T^{7} +$$$$17\!\cdots\!08$$$$T^{8} -$$$$45\!\cdots\!04$$$$T^{9} +$$$$12\!\cdots\!68$$$$T^{10} -$$$$26\!\cdots\!43$$$$T^{11} +$$$$58\!\cdots\!31$$$$T^{12} -$$$$10\!\cdots\!43$$$$T^{13} +$$$$19\!\cdots\!54$$$$T^{14} -$$$$25\!\cdots\!31$$$$T^{15} +$$$$38\!\cdots\!38$$$$T^{16} -$$$$28\!\cdots\!87$$$$T^{17} +$$$$35\!\cdots\!81$$$$T^{18}$$)($$1 - 459 T + 366096 T^{2} - 130706881 T^{3} + 62307733416 T^{4} - 19028536320069 T^{5} + 7103307674991499 T^{6} - 1939812200843675661 T^{7} +$$$$61\!\cdots\!20$$$$T^{8} -$$$$15\!\cdots\!28$$$$T^{9} +$$$$42\!\cdots\!20$$$$T^{10} -$$$$92\!\cdots\!01$$$$T^{11} +$$$$23\!\cdots\!39$$$$T^{12} -$$$$42\!\cdots\!89$$$$T^{13} +$$$$96\!\cdots\!16$$$$T^{14} -$$$$14\!\cdots\!01$$$$T^{15} +$$$$27\!\cdots\!36$$$$T^{16} -$$$$23\!\cdots\!99$$$$T^{17} +$$$$35\!\cdots\!81$$$$T^{18}$$)($$1 + 338 T + 558952 T^{2} + 176156124 T^{3} + 150035234883 T^{4} + 43608574423078 T^{5} + 25776577260306988 T^{6} + 6854549586712514120 T^{7} +$$$$31\!\cdots\!40$$$$T^{8} +$$$$77\!\cdots\!46$$$$T^{9} +$$$$30\!\cdots\!20$$$$T^{10} +$$$$67\!\cdots\!74$$$$T^{11} +$$$$23\!\cdots\!28$$$$T^{12} +$$$$46\!\cdots\!54$$$$T^{13} +$$$$14\!\cdots\!20$$$$T^{14} +$$$$25\!\cdots\!06$$$$T^{15} +$$$$72\!\cdots\!40$$$$T^{16} +$$$$10\!\cdots\!20$$$$T^{17} +$$$$27\!\cdots\!48$$$$T^{18} +$$$$32\!\cdots\!98$$$$T^{19} +$$$$76\!\cdots\!63$$$$T^{20} +$$$$61\!\cdots\!44$$$$T^{21} +$$$$13\!\cdots\!52$$$$T^{22} +$$$$56\!\cdots\!98$$$$T^{23} +$$$$11\!\cdots\!41$$$$T^{24}$$)($$1 - 338 T + 558952 T^{2} - 176156124 T^{3} + 150035234883 T^{4} - 43608574423078 T^{5} + 25776577260306988 T^{6} - 6854549586712514120 T^{7} +$$$$31\!\cdots\!40$$$$T^{8} -$$$$77\!\cdots\!46$$$$T^{9} +$$$$30\!\cdots\!20$$$$T^{10} -$$$$67\!\cdots\!74$$$$T^{11} +$$$$23\!\cdots\!28$$$$T^{12} -$$$$46\!\cdots\!54$$$$T^{13} +$$$$14\!\cdots\!20$$$$T^{14} -$$$$25\!\cdots\!06$$$$T^{15} +$$$$72\!\cdots\!40$$$$T^{16} -$$$$10\!\cdots\!20$$$$T^{17} +$$$$27\!\cdots\!48$$$$T^{18} -$$$$32\!\cdots\!98$$$$T^{19} +$$$$76\!\cdots\!63$$$$T^{20} -$$$$61\!\cdots\!44$$$$T^{21} +$$$$13\!\cdots\!52$$$$T^{22} -$$$$56\!\cdots\!98$$$$T^{23} +$$$$11\!\cdots\!41$$$$T^{24}$$)
$43$ ($$1 + 287 T + 79507 T^{2}$$)($$1 + 111 T + 79507 T^{2}$$)($$1 - 121 T + 79507 T^{2}$$)($$1 - 73 T + 79507 T^{2}$$)($$1 + 111 T + 79507 T^{2}$$)($$1 - 121 T + 79507 T^{2}$$)($$1 + 60 T + 79507 T^{2}$$)($$1 - 73 T + 79507 T^{2}$$)($$1 + 52 T + 79507 T^{2}$$)($$1 + 224 T + 160513 T^{2} + 17809568 T^{3} + 6321363049 T^{4}$$)($$1 - 254 T + 44463 T^{2} - 20194778 T^{3} + 6321363049 T^{4}$$)($$1 + 427 T + 154842 T^{2} + 33949489 T^{3} + 6321363049 T^{4}$$)($$1 + 167 T + 7530 T^{2} + 13277669 T^{3} + 6321363049 T^{4}$$)($$1 + 248 T + 164598 T^{2} + 19717736 T^{3} + 6321363049 T^{4}$$)($$1 + 167 T + 7530 T^{2} + 13277669 T^{3} + 6321363049 T^{4}$$)($$1 + 224 T + 160513 T^{2} + 17809568 T^{3} + 6321363049 T^{4}$$)($$1 - 254 T + 44463 T^{2} - 20194778 T^{3} + 6321363049 T^{4}$$)($$1 - 173 T + 163745 T^{2} - 20027390 T^{3} + 13018873715 T^{4} - 1093595807477 T^{5} + 502592611936843 T^{6}$$)($$1 + 331 T + 154580 T^{2} + 55755235 T^{3} + 12290192060 T^{4} + 2092371169219 T^{5} + 502592611936843 T^{6}$$)($$1 + 103 T + 159224 T^{2} + 22627771 T^{3} + 12659422568 T^{4} + 651100394047 T^{5} + 502592611936843 T^{6}$$)($$1 + 103 T + 159224 T^{2} + 22627771 T^{3} + 12659422568 T^{4} + 651100394047 T^{5} + 502592611936843 T^{6}$$)($$1 - 173 T + 163745 T^{2} - 20027390 T^{3} + 13018873715 T^{4} - 1093595807477 T^{5} + 502592611936843 T^{6}$$)($$1 + 331 T + 154580 T^{2} + 55755235 T^{3} + 12290192060 T^{4} + 2092371169219 T^{5} + 502592611936843 T^{6}$$)($$1 - 76 T + 297583 T^{2} - 15971824 T^{3} + 34637714648 T^{4} - 1269871810768 T^{5} + 1881130180210567 T^{6} - 38197038507200068 T^{7} + 39959630797262576401 T^{8}$$)($$1 + 244 T + 233907 T^{2} + 45112424 T^{3} + 25804777100 T^{4} + 3586753494968 T^{5} + 1478611066702443 T^{6} + 122632597312589692 T^{7} + 39959630797262576401 T^{8}$$)($$1 + 244 T + 233907 T^{2} + 45112424 T^{3} + 25804777100 T^{4} + 3586753494968 T^{5} + 1478611066702443 T^{6} + 122632597312589692 T^{7} + 39959630797262576401 T^{8}$$)($$1 - 76 T + 297583 T^{2} - 15971824 T^{3} + 34637714648 T^{4} - 1269871810768 T^{5} + 1881130180210567 T^{6} - 38197038507200068 T^{7} + 39959630797262576401 T^{8}$$)($$1 + 522 T + 218952 T^{2} + 97901919 T^{3} + 40357001205 T^{4} + 12259026416682 T^{5} + 3566712702715831 T^{6} + 974678413311135774 T^{7} +$$$$25\!\cdots\!45$$$$T^{8} +$$$$49\!\cdots\!17$$$$T^{9} +$$$$87\!\cdots\!52$$$$T^{10} +$$$$16\!\cdots\!54$$$$T^{11} +$$$$25\!\cdots\!49$$$$T^{12}$$)($$1 + 20 T + 117297 T^{2} - 30396824 T^{3} + 11311148015 T^{4} - 3264026642124 T^{5} + 1175011253846174 T^{6} - 259512966235352868 T^{7} + 71501873103790697735 T^{8} -$$$$15\!\cdots\!32$$$$T^{9} +$$$$46\!\cdots\!97$$$$T^{10} +$$$$63\!\cdots\!40$$$$T^{11} +$$$$25\!\cdots\!49$$$$T^{12}$$)($$1 - 456 T + 261186 T^{2} - 99753213 T^{3} + 42598781607 T^{4} - 12709635752928 T^{5} + 3931729710021283 T^{6} - 1010505009808046496 T^{7} +$$$$26\!\cdots\!43$$$$T^{8} -$$$$50\!\cdots\!59$$$$T^{9} +$$$$10\!\cdots\!86$$$$T^{10} -$$$$14\!\cdots\!92$$$$T^{11} +$$$$25\!\cdots\!49$$$$T^{12}$$)($$1 + 20 T + 117297 T^{2} - 30396824 T^{3} + 11311148015 T^{4} - 3264026642124 T^{5} + 1175011253846174 T^{6} - 259512966235352868 T^{7} + 71501873103790697735 T^{8} -$$$$15\!\cdots\!32$$$$T^{9} +$$$$46\!\cdots\!97$$$$T^{10} +$$$$63\!\cdots\!40$$$$T^{11} +$$$$25\!\cdots\!49$$$$T^{12}$$)($$1 - 456 T + 261186 T^{2} - 99753213 T^{3} + 42598781607 T^{4} - 12709635752928 T^{5} + 3931729710021283 T^{6} - 1010505009808046496 T^{7} +$$$$26\!\cdots\!43$$$$T^{8} -$$$$50\!\cdots\!59$$$$T^{9} +$$$$10\!\cdots\!86$$$$T^{10} -$$$$14\!\cdots\!92$$$$T^{11} +$$$$25\!\cdots\!49$$$$T^{12}$$)($$1 + 522 T + 218952 T^{2} + 97901919 T^{3} + 40357001205 T^{4} + 12259026416682 T^{5} + 3566712702715831 T^{6} + 974678413311135774 T^{7} +$$$$25\!\cdots\!45$$$$T^{8} +$$$$49\!\cdots\!17$$$$T^{9} +$$$$87\!\cdots\!52$$$$T^{10} +$$$$16\!\cdots\!54$$$$T^{11} +$$$$25\!\cdots\!49$$$$T^{12}$$)($$1 + 788 T + 800294 T^{2} + 436435088 T^{3} + 252290130193 T^{4} + 103622544512288 T^{5} + 42757283401355926 T^{6} + 13694728447375994964 T^{7} +$$$$43\!\cdots\!08$$$$T^{8} +$$$$10\!\cdots\!48$$$$T^{9} +$$$$27\!\cdots\!74$$$$T^{10} +$$$$52\!\cdots\!84$$$$T^{11} +$$$$10\!\cdots\!93$$$$T^{12} +$$$$13\!\cdots\!16$$$$T^{13} +$$$$20\!\cdots\!06$$$$T^{14} +$$$$15\!\cdots\!84$$$$T^{15} +$$$$15\!\cdots\!01$$$$T^{16}$$)($$1 + 788 T + 800294 T^{2} + 436435088 T^{3} + 252290130193 T^{4} + 103622544512288 T^{5} + 42757283401355926 T^{6} + 13694728447375994964 T^{7} +$$$$43\!\cdots\!08$$$$T^{8} +$$$$10\!\cdots\!48$$$$T^{9} +$$$$27\!\cdots\!74$$$$T^{10} +$$$$52\!\cdots\!84$$$$T^{11} +$$$$10\!\cdots\!93$$$$T^{12} +$$$$13\!\cdots\!16$$$$T^{13} +$$$$20\!\cdots\!06$$$$T^{14} +$$$$15\!\cdots\!84$$$$T^{15} +$$$$15\!\cdots\!01$$$$T^{16}$$)($$1 - 252 T + 374292 T^{2} - 95776426 T^{3} + 76313013615 T^{4} - 18747880312968 T^{5} + 10600189131051965 T^{6} - 2421279944486897679 T^{7} +$$$$10\!\cdots\!91$$$$T^{8} -$$$$22\!\cdots\!55$$$$T^{9} +$$$$86\!\cdots\!37$$$$T^{10} -$$$$15\!\cdots\!71$$$$T^{11} +$$$$53\!\cdots\!95$$$$T^{12} -$$$$74\!\cdots\!68$$$$T^{13} +$$$$24\!\cdots\!05$$$$T^{14} -$$$$24\!\cdots\!74$$$$T^{15} +$$$$75\!\cdots\!56$$$$T^{16} -$$$$40\!\cdots\!52$$$$T^{17} +$$$$12\!\cdots\!07$$$$T^{18}$$)($$1 - 1230 T + 925158 T^{2} - 517881606 T^{3} + 235281714627 T^{4} - 89259893019636 T^{5} + 29640952831795085 T^{6} - 8890433452986871317 T^{7} +$$$$25\!\cdots\!01$$$$T^{8} -$$$$70\!\cdots\!63$$$$T^{9} +$$$$20\!\cdots\!07$$$$T^{10} -$$$$56\!\cdots\!33$$$$T^{11} +$$$$14\!\cdots\!55$$$$T^{12} -$$$$35\!\cdots\!36$$$$T^{13} +$$$$74\!\cdots\!89$$$$T^{14} -$$$$13\!\cdots\!94$$$$T^{15} +$$$$18\!\cdots\!94$$$$T^{16} -$$$$19\!\cdots\!30$$$$T^{17} +$$$$12\!\cdots\!07$$$$T^{18}$$)($$1 - 1230 T + 925158 T^{2} - 517881606 T^{3} + 235281714627 T^{4} - 89259893019636 T^{5} + 29640952831795085 T^{6} - 8890433452986871317 T^{7} +$$$$25\!\cdots\!01$$$$T^{8} -$$$$70\!\cdots\!63$$$$T^{9} +$$$$20\!\cdots\!07$$$$T^{10} -$$$$56\!\cdots\!33$$$$T^{11} +$$$$14\!\cdots\!55$$$$T^{12} -$$$$35\!\cdots\!36$$$$T^{13} +$$$$74\!\cdots\!89$$$$T^{14} -$$$$13\!\cdots\!94$$$$T^{15} +$$$$18\!\cdots\!94$$$$T^{16} -$$$$19\!\cdots\!30$$$$T^{17} +$$$$12\!\cdots\!07$$$$T^{18}$$)($$1 - 252 T + 374292 T^{2} - 95776426 T^{3} + 76313013615 T^{4} - 18747880312968 T^{5} + 10600189131051965 T^{6} - 2421279944486897679 T^{7} +$$$$10\!\cdots\!91$$$$T^{8} -$$$$22\!\cdots\!55$$$$T^{9} +$$$$86\!\cdots\!37$$$$T^{10} -$$$$15\!\cdots\!71$$$$T^{11} +$$$$53\!\cdots\!95$$$$T^{12} -$$$$74\!\cdots\!68$$$$T^{13} +$$$$24\!\cdots\!05$$$$T^{14} -$$$$24\!\cdots\!74$$$$T^{15} +$$$$75\!\cdots\!56$$$$T^{16} -$$$$40\!\cdots\!52$$$$T^{17} +$$$$12\!\cdots\!07$$$$T^{18}$$)($$1 - 792 T + 746994 T^{2} - 359700828 T^{3} + 195190541991 T^{4} - 65954658687488 T^{5} + 25915300353778154 T^{6} - 6056212800736306244 T^{7} +$$$$18\!\cdots\!75$$$$T^{8} -$$$$19\!\cdots\!64$$$$T^{9} +$$$$45\!\cdots\!24$$$$T^{10} +$$$$14\!\cdots\!04$$$$T^{11} -$$$$12\!\cdots\!38$$$$T^{12} +$$$$11\!\cdots\!28$$$$T^{13} +$$$$28\!\cdots\!76$$$$T^{14} -$$$$97\!\cdots\!52$$$$T^{15} +$$$$73\!\cdots\!75$$$$T^{16} -$$$$19\!\cdots\!08$$$$T^{17} +$$$$65\!\cdots\!46$$$$T^{18} -$$$$13\!\cdots\!84$$$$T^{19} +$$$$31\!\cdots\!91$$$$T^{20} -$$$$45\!\cdots\!96$$$$T^{21} +$$$$75\!\cdots\!06$$$$T^{22} -$$$$63\!\cdots\!56$$$$T^{23} +$$$$63\!\cdots\!01$$$$T^{24}$$)($$1 - 792 T + 746994 T^{2} - 359700828 T^{3} + 195190541991 T^{4} - 65954658687488 T^{5} + 25915300353778154 T^{6} - 6056212800736306244 T^{7} +$$$$18\!\cdots\!75$$$$T^{8} -$$$$19\!\cdots\!64$$$$T^{9} +$$$$45\!\cdots\!24$$$$T^{10} +$$$$14\!\cdots\!04$$$$T^{11} -$$$$12\!\cdots\!38$$$$T^{12} +$$$$11\!\cdots\!28$$$$T^{13} +$$$$28\!\cdots\!76$$$$T^{14} -$$$$97\!\cdots\!52$$$$T^{15} +$$$$73\!\cdots\!75$$$$T^{16} -$$$$19\!\cdots\!08$$$$T^{17} +$$$$65\!\cdots\!46$$$$T^{18} -$$$$13\!\cdots\!84$$$$T^{19} +$$$$31\!\cdots\!91$$$$T^{20} -$$$$45\!\cdots\!96$$$$T^{21} +$$$$75\!\cdots\!06$$$$T^{22} -$$$$63\!\cdots\!56$$$$T^{23} +$$$$63\!\cdots\!01$$$$T^{24}$$)
$47$ ($$1 - 385 T + 103823 T^{2}$$)($$1 + 550 T + 103823 T^{2}$$)($$1 - 410 T + 103823 T^{2}$$)($$1 - 173 T + 103823 T^{2}$$)($$1 + 550 T + 103823 T^{2}$$)($$1 - 410 T + 103823 T^{2}$$)($$1 + 226 T + 103823 T^{2}$$)($$1 + 271 T + 103823 T^{2}$$)($$1 + 96 T + 103823 T^{2}$$)($$1 - 333 T + 234917 T^{2} - 34573059 T^{3} + 10779215329 T^{4}$$)($$1 - 260 T - 7774 T^{2} - 26993980 T^{3} + 10779215329 T^{4}$$)($$1 - 125 T + 85358 T^{2} - 12977875 T^{3} + 10779215329 T^{4}$$)($$1 - 93 T + 65124 T^{2} - 9655539 T^{3} + 10779215329 T^{4}$$)($$1 + 810 T + 353158 T^{2} + 84096630 T^{3} + 10779215329 T^{4}$$)($$1 - 93 T + 65124 T^{2} - 9655539 T^{3} + 10779215329 T^{4}$$)($$1 - 333 T + 234917 T^{2} - 34573059 T^{3} + 10779215329 T^{4}$$)($$1 - 260 T - 7774 T^{2} - 26993980 T^{3} + 10779215329 T^{4}$$)($$1 - 507 T + 365081 T^{2} - 106549254 T^{3} + 37903804663 T^{4} - 5465062171803 T^{5} + 1119130473102767 T^{6}$$)($$1 + 766 T + 402777 T^{2} + 138860332 T^{3} + 41817516471 T^{4} + 8256878942014 T^{5} + 1119130473102767 T^{6}$$)($$1 - 322 T + 145305 T^{2} - 78557908 T^{3} + 15086001015 T^{4} - 3470907335938 T^{5} + 1119130473102767 T^{6}$$)($$1 - 322 T + 145305 T^{2} - 78557908 T^{3} + 15086001015 T^{4} - 3470907335938 T^{5} + 1119130473102767 T^{6}$$)($$1 - 507 T + 365081 T^{2} - 106549254 T^{3} + 37903804663 T^{4} - 5465062171803 T^{5} + 1119130473102767 T^{6}$$)($$1 + 766 T + 402777 T^{2} + 138860332 T^{3} + 41817516471 T^{4} + 8256878942014 T^{5} + 1119130473102767 T^{6}$$)($$1 - 395 T + 397301 T^{2} - 119244575 T^{3} + 60897424292 T^{4} - 12380329510225 T^{5} + 4282593029427029 T^{6} - 442056536875592965 T^{7} +$$$$11\!\cdots\!41$$$$T^{8}$$)($$1 - 1019 T + 638365 T^{2} - 270163379 T^{3} + 96319838016 T^{4} - 28049172497917 T^{5} + 6881073793497085 T^{6} - 1140393952091719573 T^{7} +$$$$11\!\cdots\!41$$$$T^{8}$$)($$1 - 1019 T + 638365 T^{2} - 270163379 T^{3} + 96319838016 T^{4} - 28049172497917 T^{5} + 6881073793497085 T^{6} - 1140393952091719573 T^{7} +$$$$11\!\cdots\!41$$$$T^{8}$$)($$1 - 395 T + 397301 T^{2} - 119244575 T^{3} + 60897424292 T^{4} - 12380329510225 T^{5} + 4282593029427029 T^{6} - 442056536875592965 T^{7} +$$$$11\!\cdots\!41$$$$T^{8}$$)($$1 + 1284 T + 1197849 T^{2} + 753312976 T^{3} + 392805737493 T^{4} + 162056684395056 T^{5} + 57731858930972473 T^{6} + 16825211143947899088 T^{7} +$$$$42\!\cdots\!97$$$$T^{8} +$$$$84\!\cdots\!92$$$$T^{9} +$$$$13\!\cdots\!09$$$$T^{10} +$$$$15\!\cdots\!12$$$$T^{11} +$$$$12\!\cdots\!89$$$$T^{12}$$)($$1 + 215 T + 514517 T^{2} + 108045645 T^{3} + 118265647407 T^{4} + 22086730899670 T^{5} + 15703465600942390 T^{6} + 2293110662196438410 T^{7} +$$$$12\!\cdots\!03$$$$T^{8} +$$$$12\!\cdots\!15$$$$T^{9} +$$$$59\!\cdots\!97$$$$T^{10} +$$$$25\!\cdots\!45$$$$T^{11} +$$$$12\!\cdots\!89$$$$T^{12}$$)($$1 - 228 T + 498261 T^{2} - 85802164 T^{3} + 109859083365 T^{4} - 14761020650688 T^{5} + 14318342558870353 T^{6} - 1532533447016380224 T^{7} +$$$$11\!\cdots\!85$$$$T^{8} -$$$$96\!\cdots\!88$$$$T^{9} +$$$$57\!\cdots\!01$$$$T^{10} -$$$$27\!\cdots\!04$$$$T^{11} +$$$$12\!\cdots\!89$$$$T^{12}$$)($$1 + 215 T + 514517 T^{2} + 108045645 T^{3} + 118265647407 T^{4} + 22086730899670 T^{5} + 15703465600942390 T^{6} + 2293110662196438410 T^{7} +$$$$12\!\cdots\!03$$$$T^{8} +$$$$12\!\cdots\!15$$$$T^{9} +$$$$59\!\cdots\!97$$$$T^{10} +$$$$25\!\cdots\!45$$$$T^{11} +$$$$12\!\cdots\!89$$$$T^{12}$$)($$1 - 228 T + 498261 T^{2} - 85802164 T^{3} + 109859083365 T^{4} - 14761020650688 T^{5} + 14318342558870353 T^{6} - 1532533447016380224 T^{7} +$$$$11\!\cdots\!85$$$$T^{8} -$$$$96\!\cdots\!88$$$$T^{9} +$$$$57\!\cdots\!01$$$$T^{10} -$$$$27\!\cdots\!04$$$$T^{11} +$$$$12\!\cdots\!89$$$$T^{12}$$)($$1 + 1284 T + 1197849 T^{2} + 753312976 T^{3} + 392805737493 T^{4} + 162056684395056 T^{5} + 57731858930972473 T^{6} + 16825211143947899088 T^{7} +$$$$42\!\cdots\!97$$$$T^{8} +$$$$84\!\cdots\!92$$$$T^{9} +$$$$13\!\cdots\!09$$$$T^{10} +$$$$15\!\cdots\!12$$$$T^{11} +$$$$12\!\cdots\!89$$$$T^{12}$$)($$1 + 468 T + 515625 T^{2} + 227265822 T^{3} + 135641656399 T^{4} + 53545791353154 T^{5} + 23362624821975179 T^{6} + 8013717430066455384 T^{7} +$$$$28\!\cdots\!56$$$$T^{8} +$$$$83\!\cdots\!32$$$$T^{9} +$$$$25\!\cdots\!91$$$$T^{10} +$$$$59\!\cdots\!18$$$$T^{11} +$$$$15\!\cdots\!59$$$$T^{12} +$$$$27\!\cdots\!46$$$$T^{13} +$$$$64\!\cdots\!25$$$$T^{14} +$$$$60\!\cdots\!96$$$$T^{15} +$$$$13\!\cdots\!81$$$$T^{16}$$)($$1 + 468 T + 515625 T^{2} + 227265822 T^{3} + 135641656399 T^{4} + 53545791353154 T^{5} + 23362624821975179 T^{6} + 8013717430066455384 T^{7} +$$$$28\!\cdots\!56$$$$T^{8} +$$$$83\!\cdots\!32$$$$T^{9} +$$$$25\!\cdots\!91$$$$T^{10} +$$$$59\!\cdots\!18$$$$T^{11} +$$$$15\!\cdots\!59$$$$T^{12} +$$$$27\!\cdots\!46$$$$T^{13} +$$$$64\!\cdots\!25$$$$T^{14} +$$$$60\!\cdots\!96$$$$T^{15} +$$$$13\!\cdots\!81$$$$T^{16}$$)($$1 + 66 T + 562416 T^{2} + 10712080 T^{3} + 152803119447 T^{4} - 3312057688902 T^{5} + 27040019880144550 T^{6} - 1314484068002632338 T^{7} +$$$$35\!\cdots\!06$$$$T^{8} -$$$$19\!\cdots\!48$$$$T^{9} +$$$$36\!\cdots\!38$$$$T^{10} -$$$$14\!\cdots\!02$$$$T^{11} +$$$$30\!\cdots\!50$$$$T^{12} -$$$$38\!\cdots\!82$$$$T^{13} +$$$$18\!\cdots\!21$$$$T^{14} +$$$$13\!\cdots\!20$$$$T^{15} +$$$$73\!\cdots\!52$$$$T^{16} +$$$$89\!\cdots\!46$$$$T^{17} +$$$$14\!\cdots\!63$$$$T^{18}$$)($$1 + 342 T + 511788 T^{2} + 130602476 T^{3} + 133038984363 T^{4} + 29225435534370 T^{5} + 23917077619362502 T^{6} + 4583812290638050458 T^{7} +$$$$31\!\cdots\!98$$$$T^{8} +$$$$53\!\cdots\!36$$$$T^{9} +$$$$33\!\cdots\!54$$$$T^{10} +$$$$49\!\cdots\!82$$$$T^{11} +$$$$26\!\cdots\!34$$$$T^{12} +$$$$33\!\cdots\!70$$$$T^{13} +$$$$16\!\cdots\!09$$$$T^{14} +$$$$16\!\cdots\!64$$$$T^{15} +$$$$66\!\cdots\!36$$$$T^{16} +$$$$46\!\cdots\!02$$$$T^{17} +$$$$14\!\cdots\!63$$$$T^{18}$$)($$1 + 342 T + 511788 T^{2} + 130602476 T^{3} + 133038984363 T^{4} + 29225435534370 T^{5} + 23917077619362502 T^{6} + 4583812290638050458 T^{7} +$$$$31\!\cdots\!98$$$$T^{8} +$$$$53\!\cdots\!36$$$$T^{9} +$$$$33\!\cdots\!54$$$$T^{10} +$$$$49\!\cdots\!82$$$$T^{11} +$$$$26\!\cdots\!34$$$$T^{12} +$$$$33\!\cdots\!70$$$$T^{13} +$$$$16\!\cdots\!09$$$$T^{14} +$$$$16\!\cdots\!64$$$$T^{15} +$$$$66\!\cdots\!36$$$$T^{16} +$$$$46\!\cdots\!02$$$$T^{17} +$$$$14\!\cdots\!63$$$$T^{18}$$)($$1 + 66 T + 562416 T^{2} + 10712080 T^{3} + 152803119447 T^{4} - 3312057688902 T^{5} + 27040019880144550 T^{6} - 1314484068002632338 T^{7} +$$$$35\!\cdots\!06$$$$T^{8} -$$$$19\!\cdots\!48$$$$T^{9} +$$$$36\!\cdots\!38$$$$T^{10} -$$$$14\!\cdots\!02$$$$T^{11} +$$$$30\!\cdots\!50$$$$T^{12} -$$$$38\!\cdots\!82$$$$T^{13} +$$$$18\!\cdots\!21$$$$T^{14} +$$$$13\!\cdots\!20$$$$T^{15} +$$$$73\!\cdots\!52$$$$T^{16} +$$$$89\!\cdots\!46$$$$T^{17} +$$$$14\!\cdots\!63$$$$T^{18}$$)($$1 - 1088 T + 894093 T^{2} - 567863322 T^{3} + 325211380113 T^{4} - 160630252211570 T^{5} + 72862639885499249 T^{6} - 30190719245259248564 T^{7} +$$$$11\!\cdots\!07$$$$T^{8} -$$$$43\!\cdots\!48$$$$T^{9} +$$$$15\!\cdots\!94$$$$T^{10} -$$$$51\!\cdots\!92$$$$T^{11} +$$$$16\!\cdots\!54$$$$T^{12} -$$$$53\!\cdots\!16$$$$T^{13} +$$$$16\!\cdots\!26$$$$T^{14} -$$$$48\!\cdots\!16$$$$T^{15} +$$$$13\!\cdots\!87$$$$T^{16} -$$$$36\!\cdots\!52$$$$T^{17} +$$$$91\!\cdots\!61$$$$T^{18} -$$$$20\!\cdots\!90$$$$T^{19} +$$$$43\!\cdots\!53$$$$T^{20} -$$$$79\!\cdots\!86$$$$T^{21} +$$$$13\!\cdots\!57$$$$T^{22} -$$$$16\!\cdots\!76$$$$T^{23} +$$$$15\!\cdots\!21$$$$T^{24}$$)($$1 - 1088 T + 894093 T^{2} - 567863322 T^{3} + 325211380113 T^{4} - 160630252211570 T^{5} + 72862639885499249 T^{6} - 30190719245259248564 T^{7} +$$$$11\!\cdots\!07$$$$T^{8} -$$$$43\!\cdots\!48$$$$T^{9} +$$$$15\!\cdots\!94$$$$T^{10} -$$$$51\!\cdots\!92$$$$T^{11} +$$$$16\!\cdots\!54$$$$T^{12} -$$$$53\!\cdots\!16$$$$T^{13} +$$$$16\!\cdots\!26$$$$T^{14} -$$$$48\!\cdots\!16$$$$T^{15} +$$$$13\!\cdots\!87$$$$T^{16} -$$$$36\!\cdots\!52$$$$T^{17} +$$$$91\!\cdots\!61$$$$T^{18} -$$$$20\!\cdots\!90$$$$T^{19} +$$$$43\!\cdots\!53$$$$T^{20} -$$$$79\!\cdots\!86$$$$T^{21} +$$$$13\!\cdots\!57$$$$T^{22} -$$$$16\!\cdots\!76$$$$T^{23} +$$$$15\!\cdots\!21$$$$T^{24}$$)
$53$ ($$1 + 538 T + 148877 T^{2}$$)($$1 + 482 T + 148877 T^{2}$$)($$1 - 230 T + 148877 T^{2}$$)($$1 + 170 T + 148877 T^{2}$$)($$1 - 482 T + 148877 T^{2}$$)($$1 + 230 T + 148877 T^{2}$$)($$1 - 362 T + 148877 T^{2}$$)($$1 - 502 T + 148877 T^{2}$$)($$1 + 198 T + 148877 T^{2}$$)($$1 - 766 T + 306663 T^{2} - 114039782 T^{3} + 22164361129 T^{4}$$)($$1 - 304 T + 319778 T^{2} - 45258608 T^{3} + 22164361129 T^{4}$$)($$1 + 140 T + 263342 T^{2} + 20842780 T^{3} + 22164361129 T^{4}$$)($$1 - 162 T + 233890 T^{2} - 24118074 T^{3} + 22164361129 T^{4}$$)($$1 + 84 T + 54718 T^{2} + 12505668 T^{3} + 22164361129 T^{4}$$)($$1 + 162 T + 233890 T^{2} + 24118074 T^{3} + 22164361129 T^{4}$$)($$1 + 766 T + 306663 T^{2} + 114039782 T^{3} + 22164361129 T^{4}$$)($$1 + 304 T + 319778 T^{2} + 45258608 T^{3} + 22164361129 T^{4}$$)($$1 + 208 T + 323163 T^{2} + 34872784 T^{3} + 48111537951 T^{4} + 4610187114832 T^{5} + 3299763591802133 T^{6}$$)($$1 + 118 T + 228651 T^{2} - 5659004 T^{3} + 34040874927 T^{4} + 2615394613222 T^{5} + 3299763591802133 T^{6}$$)($$1 - 1322 T + 980079 T^{2} - 460609148 T^{3} + 145911221283 T^{4} - 29301285412538 T^{5} + 3299763591802133 T^{6}$$)($$1 + 1322 T + 980079 T^{2} + 460609148 T^{3} + 145911221283 T^{4} + 29301285412538 T^{5} + 3299763591802133 T^{6}$$)($$1 - 208 T + 323163 T^{2} - 34872784 T^{3} + 48111537951 T^{4} - 4610187114832 T^{5} + 3299763591802133 T^{6}$$)($$1 - 118 T + 228651 T^{2} + 5659004 T^{3} + 34040874927 T^{4} - 2615394613222 T^{5} + 3299763591802133 T^{6}$$)($$1 - 625 T + 537854 T^{2} - 229734310 T^{3} + 112240079627 T^{4} - 34202154869870 T^{5} + 11921190290677166 T^{6} - 2062352244876333125 T^{7} +$$$$49\!\cdots\!41$$$$T^{8}$$)($$1 - 111 T + 272372 T^{2} - 6573486 T^{3} + 36080897485 T^{4} - 978640875222 T^{5} + 6036951369427988 T^{6} - 366273758690036763 T^{7} +$$$$49\!\cdots\!41$$$$T^{8}$$)($$1 + 111 T + 272372 T^{2} + 6573486 T^{3} + 36080897485 T^{4} + 978640875222 T^{5} + 6036951369427988 T^{6} + 366273758690036763 T^{7} +$$$$49\!\cdots\!41$$$$T^{8}$$)($$1 + 625 T + 537854 T^{2} + 229734310 T^{3} + 112240079627 T^{4} + 34202154869870 T^{5} + 11921190290677166 T^{6} + 2062352244876333125 T^{7} +$$$$49\!\cdots\!41$$$$T^{8}$$)($$1 - 639 T + 628056 T^{2} - 339519482 T^{3} + 198832043655 T^{4} - 81935011952913 T^{5} + 37870156448977885 T^{6} - 12198238774513828701 T^{7} +$$$$44\!\cdots\!95$$$$T^{8} -$$$$11\!\cdots\!06$$$$T^{9} +$$$$30\!\cdots\!96$$$$T^{10} -$$$$46\!\cdots\!23$$$$T^{11} +$$$$10\!\cdots\!89$$$$T^{12}$$)($$1 - 366 T + 367518 T^{2} - 79853122 T^{3} + 81556441177 T^{4} - 12278414259628 T^{5} + 12230346967466079 T^{6} - 1827973479730637756 T^{7} +$$$$18\!\cdots\!33$$$$T^{8} -$$$$26\!\cdots\!26$$$$T^{9} +$$$$18\!\cdots\!38$$$$T^{10} -$$$$26\!\cdots\!62$$$$T^{11} +$$$$10\!\cdots\!89$$$$T^{12}$$)($$1 - 357 T + 700380 T^{2} - 230405570 T^{3} + 222255146199 T^{4} - 64068827807043 T^{5} + 41743529213795809 T^{6} - 9538374877429140711 T^{7} +$$$$49\!\cdots\!71$$$$T^{8} -$$$$76\!\cdots\!10$$$$T^{9} +$$$$34\!\cdots\!80$$$$T^{10} -$$$$26\!\cdots\!49$$$$T^{11} +$$$$10\!\cdots\!89$$$$T^{12}$$)($$1 + 366 T + 367518 T^{2} + 79853122 T^{3} + 81556441177 T^{4} + 12278414259628 T^{5} + 12230346967466079 T^{6} + 1827973479730637756 T^{7} +$$$$18\!\cdots\!33$$$$T^{8} +$$$$26\!\cdots\!26$$$$T^{9} +$$$$18\!\cdots\!38$$$$T^{10} +$$$$26\!\cdots\!62$$$$T^{11} +$$$$10\!\cdots\!89$$$$T^{12}$$)($$1 + 357 T + 700380 T^{2} + 230405570 T^{3} + 222255146199 T^{4} + 64068827807043 T^{5} + 41743529213795809 T^{6} + 9538374877429140711 T^{7} +$$$$49\!\cdots\!71$$$$T^{8} +$$$$76\!\cdots\!10$$$$T^{9} +$$$$34\!\cdots\!80$$$$T^{10} +$$$$26\!\cdots\!49$$$$T^{11} +$$$$10\!\cdots\!89$$$$T^{12}$$)($$1 + 639 T + 628056 T^{2} + 339519482 T^{3} + 198832043655 T^{4} + 81935011952913 T^{5} + 37870156448977885 T^{6} + 12198238774513828701 T^{7} +$$$$44\!\cdots\!95$$$$T^{8} +$$$$11\!\cdots\!06$$$$T^{9} +$$$$30\!\cdots\!96$$$$T^{10} +$$$$46\!\cdots\!23$$$$T^{11} +$$$$10\!\cdots\!89$$$$T^{12}$$)($$1 + 1682 T + 1750569 T^{2} + 1300399422 T^{3} + 809181598598 T^{4} + 435774464935002 T^{5} + 214900869633838496 T^{6} + 95805014554406094836 T^{7} +$$$$39\!\cdots\!73$$$$T^{8} +$$$$14\!\cdots\!72$$$$T^{9} +$$$$47\!\cdots\!84$$$$T^{10} +$$$$14\!\cdots\!66$$$$T^{11} +$$$$39\!\cdots\!18$$$$T^{12} +$$$$95\!\cdots\!54$$$$T^{13} +$$$$19\!\cdots\!41$$$$T^{14} +$$$$27\!\cdots\!46$$$$T^{15} +$$$$24\!\cdots\!81$$$$T^{16}$$)($$1 - 1682 T + 1750569 T^{2} - 1300399422 T^{3} + 809181598598 T^{4} - 435774464935002 T^{5} + 214900869633838496 T^{6} - 95805014554406094836 T^{7} +$$$$39\!\cdots\!73$$$$T^{8} -$$$$14\!\cdots\!72$$$$T^{9} +$$$$47\!\cdots\!84$$$$T^{10} -$$$$14\!\cdots\!66$$$$T^{11} +$$$$39\!\cdots\!18$$$$T^{12} -$$$$95\!\cdots\!54$$$$T^{13} +$$$$19\!\cdots\!41$$$$T^{14} -$$$$27\!\cdots\!46$$$$T^{15} +$$$$24\!\cdots\!81$$$$T^{16}$$)($$1 + 1197 T + 979581 T^{2} + 544217375 T^{3} + 285024118704 T^{4} + 137115932500476 T^{5} + 68156116822284019 T^{6} + 30407880492199679679 T^{7} +$$$$13\!\cdots\!95$$$$T^{8} +$$$$50\!\cdots\!70$$$$T^{9} +$$$$19\!\cdots\!15$$$$T^{10} +$$$$67\!\cdots\!91$$$$T^{11} +$$$$22\!\cdots\!27$$$$T^{12} +$$$$67\!\cdots\!16$$$$T^{13} +$$$$20\!\cdots\!28$$$$T^{14} +$$$$59\!\cdots\!75$$$$T^{15} +$$$$15\!\cdots\!93$$$$T^{16} +$$$$28\!\cdots\!57$$$$T^{17} +$$$$35\!\cdots\!37$$$$T^{18}$$)($$1 - 285 T + 994137 T^{2} - 263895855 T^{3} + 480989303088 T^{4} - 115003812297756 T^{5} + 146129856228302219 T^{6} - 30818739833774904087 T^{7} +$$$$30\!\cdots\!47$$$$T^{8} -$$$$55\!\cdots\!38$$$$T^{9} +$$$$45\!\cdots\!19$$$$T^{10} -$$$$68\!\cdots\!23$$$$T^{11} +$$$$48\!\cdots\!27$$$$T^{12} -$$$$56\!\cdots\!96$$$$T^{13} +$$$$35\!\cdots\!16$$$$T^{14} -$$$$28\!\cdots\!95$$$$T^{15} +$$$$16\!\cdots\!61$$$$T^{16} -$$$$68\!\cdots\!85$$$$T^{17} +$$$$35\!\cdots\!37$$$$T^{18}$$)($$1 + 285 T + 994137 T^{2} + 263895855 T^{3} + 480989303088 T^{4} + 115003812297756 T^{5} + 146129856228302219 T^{6} + 30818739833774904087 T^{7} +$$$$30\!\cdots\!47$$$$T^{8} +$$$$55\!\cdots\!38$$$$T^{9} +$$$$45\!\cdots\!19$$$$T^{10} +$$$$68\!\cdots\!23$$$$T^{11} +$$$$48\!\cdots\!27$$$$T^{12} +$$$$56\!\cdots\!96$$$$T^{13} +$$$$35\!\cdots\!16$$$$T^{14} +$$$$28\!\cdots\!95$$$$T^{15} +$$$$16\!\cdots\!61$$$$T^{16} +$$$$68\!\cdots\!85$$$$T^{17} +$$$$35\!\cdots\!37$$$$T^{18}$$)($$1 - 1197 T + 979581 T^{2} - 544217375 T^{3} + 285024118704 T^{4} - 137115932500476 T^{5} + 68156116822284019 T^{6} - 30407880492199679679 T^{7} +$$$$13\!\cdots\!95$$$$T^{8} -$$$$50\!\cdots\!70$$$$T^{9} +$$$$19\!\cdots\!15$$$$T^{10} -$$$$67\!\cdots\!91$$$$T^{11} +$$$$22\!\cdots\!27$$$$T^{12} -$$$$67\!\cdots\!16$$$$T^{13} +$$$$20\!\cdots\!28$$$$T^{14} -$$$$59\!\cdots\!75$$$$T^{15} +$$$$15\!\cdots\!93$$$$T^{16} -$$$$28\!\cdots\!57$$$$T^{17} +$$$$35\!\cdots\!37$$$$T^{18}$$)($$1 + 312 T + 1111316 T^{2} + 382319322 T^{3} + 623846809762 T^{4} + 222395456309118 T^{5} + 231311013252058934 T^{6} + 82224874300763007576 T^{7} +$$$$62\!\cdots\!79$$$$T^{8} +$$$$21\!\cdots\!66$$$$T^{9} +$$$$13\!\cdots\!78$$$$T^{10} +$$$$42\!\cdots\!34$$$$T^{11} +$$$$21\!\cdots\!97$$$$T^{12} +$$$$62\!\cdots\!18$$$$T^{13} +$$$$29\!\cdots\!62$$$$T^{14} +$$$$71\!\cdots\!78$$$$T^{15} +$$$$30\!\cdots\!39$$$$T^{16} +$$$$60\!\cdots\!32$$$$T^{17} +$$$$25\!\cdots\!26$$$$T^{18} +$$$$36\!\cdots\!54$$$$T^{19} +$$$$15\!\cdots\!22$$$$T^{20} +$$$$13\!\cdots\!14$$$$T^{21} +$$$$59\!\cdots\!84$$$$T^{22} +$$$$24\!\cdots\!76$$$$T^{23} +$$$$11\!\cdots\!21$$$$T^{24}$$)($$1 - 312 T + 1111316 T^{2} - 382319322 T^{3} + 623846809762 T^{4} - 222395456309118 T^{5} + 231311013252058934 T^{6} - 82224874300763007576 T^{7} +$$$$62\!\cdots\!79$$$$T^{8} -$$$$21\!\cdots\!66$$$$T^{9} +$$$$13\!\cdots\!78$$$$T^{10} -$$$$42\!\cdots\!34$$$$T^{11} +$$$$21\!\cdots\!97$$$$T^{12} -$$$$62\!\cdots\!18$$$$T^{13} +$$$$29\!\cdots\!62$$$$T^{14} -$$$$71\!\cdots\!78$$$$T^{15} +$$$$30\!\cdots\!39$$$$T^{16} -$$$$60\!\cdots\!32$$$$T^{17} +$$$$25\!\cdots\!26$$$$T^{18} -$$$$36\!\cdots\!54$$$$T^{19} +$$$$15\!\cdots\!22$$$$T^{20} -$$$$13\!\cdots\!14$$$$T^{21} +$$$$59\!\cdots\!84$$$$T^{22} -$$$$24\!\cdots\!76$$$$T^{23} +$$$$11\!\cdots\!21$$$$T^{24}$$)
$59$ ($$1 - 300 T + 205379 T^{2}$$)($$1 + 496 T + 205379 T^{2}$$)($$1 + 744 T + 205379 T^{2}$$)($$1 - 12 T + 205379 T^{2}$$)($$1 - 496 T + 205379 T^{2}$$)($$1 - 744 T + 205379 T^{2}$$)($$1 - 316 T + 205379 T^{2}$$)($$1 + 540 T + 205379 T^{2}$$)($$1 - 660 T + 205379 T^{2}$$)($$1 - 460 T + 238938 T^{2} - 94474340 T^{3} + 42180533641 T^{4}$$)($$1 + 540 T + 483538 T^{2} + 110904660 T^{3} + 42180533641 T^{4}$$)($$1 + 96 T + 199030 T^{2} + 19716384 T^{3} + 42180533641 T^{4}$$)($$1 + 108 T + 131974 T^{2} + 22180932 T^{3} + 42180533641 T^{4}$$)($$1 - 504 T + 121750 T^{2} - 103511016 T^{3} + 42180533641 T^{4}$$)($$1 - 108 T + 131974 T^{2} - 22180932 T^{3} + 42180533641 T^{4}$$)($$1 + 460 T + 238938 T^{2} + 94474340 T^{3} + 42180533641 T^{4}$$)($$1 - 540 T + 483538 T^{2} - 110904660 T^{3} + 42180533641 T^{4}$$)($$1 - 344 T + 85017 T^{2} + 38331760 T^{3} + 17460706443 T^{4} - 14510103572504 T^{5} + 8662995818654939 T^{6}$$)($$1 - 936 T + 766257 T^{2} - 352800000 T^{3} + 157373096403 T^{4} - 39480979487976 T^{5} + 8662995818654939 T^{6}$$)($$1 + 252 T + 626829 T^{2} + 103143600 T^{3} + 128737513191 T^{4} + 10629494477532 T^{5} + 8662995818654939 T^{6}$$)($$1 - 252 T + 626829 T^{2} - 103143600 T^{3} + 128737513191 T^{4} - 10629494477532 T^{5} + 8662995818654939 T^{6}$$)($$1 + 344 T + 85017 T^{2} - 38331760 T^{3} + 17460706443 T^{4} + 14510103572504 T^{5} + 8662995818654939 T^{6}$$)($$1 + 936 T + 766257 T^{2} + 352800000 T^{3} + 157373096403 T^{4} + 39480979487976 T^{5} + 8662995818654939 T^{6}$$)($$1 - 1328 T + 1337656 T^{2} - 860960272 T^{3} + 462123030270 T^{4} - 176823159703088 T^{5} + 56423043908085496 T^{6} - 11504458447173758992 T^{7} +$$$$17\!\cdots\!81$$$$T^{8}$$)($$1 - 279 T + 735889 T^{2} - 146375291 T^{3} + 217439465104 T^{4} - 30062410890289 T^{5} + 31040190720541849 T^{6} - 2416975833404727981 T^{7} +$$$$17\!\cdots\!81$$$$T^{8}$$)($$1 + 279 T + 735889 T^{2} + 146375291 T^{3} + 217439465104 T^{4} + 30062410890289 T^{5} + 31040190720541849 T^{6} + 2416975833404727981 T^{7} +$$$$17\!\cdots\!81$$$$T^{8}$$)($$1 + 1328 T + 1337656 T^{2} + 860960272 T^{3} + 462123030270 T^{4} + 176823159703088 T^{5} + 56423043908085496 T^{6} + 11504458447173758992 T^{7} +$$$$17\!\cdots\!81$$$$T^{8}$$)($$1 + 231 T + 276969 T^{2} + 60181956 T^{3} + 55757113242 T^{4} + 28263192230886 T^{5} + 12384716864561413 T^{6} + 5804666157187135794 T^{7} +$$$$23\!\cdots\!22$$$$T^{8} +$$$$52\!\cdots\!84$$$$T^{9} +$$$$49\!\cdots\!89$$$$T^{10} +$$$$84\!\cdots\!69$$$$T^{11} +$$$$75\!\cdots\!21$$$$T^{12}$$)($$1 - 263 T + 436719 T^{2} + 42932919 T^{3} + 105946025559 T^{4} + 9124407061418 T^{5} + 31862626826113842 T^{6} + 1873961597866967422 T^{7} +$$$$44\!\cdots\!19$$$$T^{8} +$$$$37\!\cdots\!41$$$$T^{9} +$$$$77\!\cdots\!39$$$$T^{10} -$$$$96\!\cdots\!37$$$$T^{11} +$$$$75\!\cdots\!21$$$$T^{12}$$)($$1 - 741 T + 202917 T^{2} - 143709606 T^{3} + 127521456702 T^{4} - 54076069495704 T^{5} + 19711007206498807 T^{6} - 11106089076958191816 T^{7} +$$$$53\!\cdots\!82$$$$T^{8} -$$$$12\!\cdots\!34$$$$T^{9} +$$$$36\!\cdots\!77$$$$T^{10} -$$$$27\!\cdots\!59$$$$T^{11} +$$$$75\!\cdots\!21$$$$T^{12}$$)($$1 + 263 T + 436719 T^{2} - 42932919 T^{3} + 105946025559 T^{4} - 9124407061418 T^{5} + 31862626826113842 T^{6} - 1873961597866967422 T^{7} +$$$$44\!\cdots\!19$$$$T^{8} -$$$$37\!\cdots\!41$$$$T^{9} +$$$$77\!\cdots\!39$$$$T^{10} +$$$$96\!\cdots\!37$$$$T^{11} +$$$$75\!\cdots\!21$$$$T^{12}$$)($$1 + 741 T + 202917 T^{2} + 143709606 T^{3} + 127521456702 T^{4} + 54076069495704 T^{5} + 19711007206498807 T^{6} + 11106089076958191816 T^{7} +$$$$53\!\cdots\!82$$$$T^{8} +$$$$12\!\cdots\!34$$$$T^{9} +$$$$36\!\cdots\!77$$$$T^{10} +$$$$27\!\cdots\!59$$$$T^{11} +$$$$75\!\cdots\!21$$$$T^{12}$$)($$1 - 231 T + 276969 T^{2} - 60181956 T^{3} + 55757113242 T^{4} - 28263192230886 T^{5} + 12384716864561413 T^{6} - 5804666157187135794 T^{7} +$$$$23\!\cdots\!22$$$$T^{8} -$$$$52\!\cdots\!84$$$$T^{9} +$$$$49\!\cdots\!89$$$$T^{10} -$$$$84\!\cdots\!69$$$$T^{11} +$$$$75\!\cdots\!21$$$$T^{12}$$)($$1 + 292 T + 1331620 T^{2} + 405759460 T^{3} + 822464475300 T^{4} + 242874300181156 T^{5} + 308263670555527292 T^{6} + 81819186166551990340 T^{7} +$$$$76\!\cdots\!90$$$$T^{8} +$$$$16\!\cdots\!60$$$$T^{9} +$$$$13\!\cdots\!72$$$$T^{10} +$$$$21\!\cdots\!84$$$$T^{11} +$$$$14\!\cdots\!00$$$$T^{12} +$$$$14\!\cdots\!40$$$$T^{13} +$$$$99\!\cdots\!20$$$$T^{14} +$$$$45\!\cdots\!28$$$$T^{15} +$$$$31\!\cdots\!61$$$$T^{16}$$)($$1 - 292 T + 1331620 T^{2} - 405759460 T^{3} + 822464475300 T^{4} - 242874300181156 T^{5} + 308263670555527292 T^{6} - 81819186166551990340 T^{7} +$$$$76\!\cdots\!90$$$$T^{8} -$$$$16\!\cdots\!60$$$$T^{9} +$$$$13\!\cdots\!72$$$$T^{10} -$$$$21\!\cdots\!84$$$$T^{11} +$$$$14\!\cdots\!00$$$$T^{12} -$$$$14\!\cdots\!40$$$$T^{13} +$$$$99\!\cdots\!20$$$$T^{14} -$$$$45\!\cdots\!28$$$$T^{15} +$$$$31\!\cdots\!61$$$$T^{16}$$)($$1 + 1221 T + 1948284 T^{2} + 1707028389 T^{3} + 1619813397798 T^{4} + 1103233172485695 T^{5} + 773923841715522705 T^{6} +$$$$42\!\cdots\!31$$$$T^{7} +$$$$23\!\cdots\!02$$$$T^{8} +$$$$10\!\cdots\!04$$$$T^{9} +$$$$48\!\cdots\!58$$$$T^{10} +$$$$17\!\cdots\!71$$$$T^{11} +$$$$67\!\cdots\!95$$$$T^{12} +$$$$19\!\cdots\!95$$$$T^{13} +$$$$59\!\cdots\!02$$$$T^{14} +$$$$12\!\cdots\!69$$$$T^{15} +$$$$30\!\cdots\!56$$$$T^{16} +$$$$38\!\cdots\!81$$$$T^{17} +$$$$65\!\cdots\!19$$$$T^{18}$$)($$1 - 171 T + 1042860 T^{2} - 79897937 T^{3} + 516721363266 T^{4} + 2180006736123 T^{5} + 167005172908121415 T^{6} + 10701915121952204901 T^{7} +$$$$41\!\cdots\!68$$$$T^{8} +$$$$34\!\cdots\!20$$$$T^{9} +$$$$84\!\cdots\!72$$$$T^{10} +$$$$45\!\cdots\!41$$$$T^{11} +$$$$14\!\cdots\!85$$$$T^{12} +$$$$38\!\cdots\!63$$$$T^{13} +$$$$18\!\cdots\!34$$$$T^{14} -$$$$59\!\cdots\!77$$$$T^{15} +$$$$16\!\cdots\!40$$$$T^{16} -$$$$54\!\cdots\!31$$$$T^{17} +$$$$65\!\cdots\!19$$$$T^{18}$$)($$1 + 171 T + 1042860 T^{2} + 79897937 T^{3} + 516721363266 T^{4} - 2180006736123 T^{5} + 167005172908121415 T^{6} - 10701915121952204901 T^{7} +$$$$41\!\cdots\!68$$$$T^{8} -$$$$34\!\cdots\!20$$$$T^{9} +$$$$84\!\cdots\!72$$$$T^{10} -$$$$45\!\cdots\!41$$$$T^{11} +$$$$14\!\cdots\!85$$$$T^{12} -$$$$38\!\cdots\!63$$$$T^{13} +$$$$18\!\cdots\!34$$$$T^{14} +$$$$59\!\cdots\!77$$$$T^{15} +$$$$16\!\cdots\!40$$$$T^{16} +$$$$54\!\cdots\!31$$$$T^{17} +$$$$65\!\cdots\!19$$$$T^{18}$$)($$1 - 1221 T + 1948284 T^{2} - 1707028389 T^{3} + 1619813397798 T^{4} - 1103233172485695 T^{5} + 773923841715522705 T^{6} -$$$$42\!\cdots\!31$$$$T^{7} +$$$$23\!\cdots\!02$$$$T^{8} -$$$$10\!\cdots\!04$$$$T^{9} +$$$$48\!\cdots\!58$$$$T^{10} -$$$$17\!\cdots\!71$$$$T^{11} +$$$$67\!\cdots\!95$$$$T^{12} -$$$$19\!\cdots\!95$$$$T^{13} +$$$$59\!\cdots\!02$$$$T^{14} -$$$$12\!\cdots\!69$$$$T^{15} +$$$$30\!\cdots\!56$$$$T^{16} -$$$$38\!\cdots\!81$$$$T^{17} +$$$$65\!\cdots\!19$$$$T^{18}$$)($$1 + 694 T + 1812179 T^{2} + 1013120888 T^{3} + 1512520470221 T^{4} + 699372554397276 T^{5} + 784123763272296307 T^{6} +$$$$30\!\cdots\!82$$$$T^{7} +$$$$28\!\cdots\!47$$$$T^{8} +$$$$96\!\cdots\!08$$$$T^{9} +$$$$81\!\cdots\!34$$$$T^{10} +$$$$23\!\cdots\!68$$$$T^{11} +$$$$18\!\cdots\!38$$$$T^{12} +$$$$49\!\cdots\!72$$$$T^{13} +$$$$34\!\cdots\!94$$$$T^{14} +$$$$83\!\cdots\!12$$$$T^{15} +$$$$51\!\cdots\!07$$$$T^{16} +$$$$11\!\cdots\!18$$$$T^{17} +$$$$58\!\cdots\!47$$$$T^{18} +$$$$10\!\cdots\!84$$$$T^{19} +$$$$47\!\cdots\!81$$$$T^{20} +$$$$65\!\cdots\!72$$$$T^{21} +$$$$24\!\cdots\!79$$$$T^{22} +$$$$19\!\cdots\!26$$$$T^{23} +$$$$56\!\cdots\!41$$$$T^{24}$$)($$1 - 694 T + 1812179 T^{2} - 1013120888 T^{3} + 1512520470221 T^{4} - 699372554397276 T^{5} + 784123763272296307 T^{6} -$$$$30\!\cdots\!82$$$$T^{7} +$$$$28\!\cdots\!47$$$$T^{8} -$$$$96\!\cdots\!08$$$$T^{9} +$$$$81\!\cdots\!34$$$$T^{10} -$$$$23\!\cdots\!68$$$$T^{11} +$$$$18\!\cdots\!38$$$$T^{12} -$$$$49\!\cdots\!72$$$$T^{13} +$$$$34\!\cdots\!94$$$$T^{14} -$$$$83\!\cdots\!12$$$$T^{15} +$$$$51\!\cdots\!07$$$$T^{16} -$$$$11\!\cdots\!18$$$$T^{17} +$$$$58\!\cdots\!47$$$$T^{18} -$$$$10\!\cdots\!84$$$$T^{19} +$$$$47\!\cdots\!81$$$$T^{20} -$$$$65\!\cdots\!72$$$$T^{21} +$$$$24\!\cdots\!79$$$$T^{22} -$$$$19\!\cdots\!26$$$$T^{23} +$$$$56\!\cdots\!41$$$$T^{24}$$)
$61$ ($$1 + 901 T + 226981 T^{2}$$)($$1 - 155 T + 226981 T^{2}$$)($$1 + 277 T + 226981 T^{2}$$)($$1 - 419 T + 226981 T^{2}$$)($$1 - 155 T + 226981 T^{2}$$)($$1 + 277 T + 226981 T^{2}$$)($$1 - 134 T + 226981 T^{2}$$)($$1 - 587 T + 226981 T^{2}$$)($$1 + 538 T + 226981 T^{2}$$)($$1 - 494 T + 436846 T^{2} - 112128614 T^{3} + 51520374361 T^{4}$$)($$1 - 646 T + 500211 T^{2} - 146629726 T^{3} + 51520374361 T^{4}$$)($$1 + 551 T + 528156 T^{2} + 125066531 T^{3} + 51520374361 T^{4}$$)($$1 - 213 T + 306848 T^{2} - 48346953 T^{3} + 51520374361 T^{4}$$)($$1 - 580 T + 241854 T^{2} - 131648980 T^{3} + 51520374361 T^{4}$$)($$1 - 213 T + 306848 T^{2} - 48346953 T^{3} + 51520374361 T^{4}$$)($$1 - 494 T + 436846 T^{2} - 112128614 T^{3} + 51520374361 T^{4}$$)($$1 - 646 T + 500211 T^{2} - 146629726 T^{3} + 51520374361 T^{4}$$)($$1 - 847 T + 742839 T^{2} - 343640018 T^{3} + 168610339059 T^{4} - 43637757083767 T^{5} + 11694146092834141 T^{6}$$)($$1 + 399 T + 471354 T^{2} + 102958675 T^{3} + 106988402274 T^{4} + 20556629370039 T^{5} + 11694146092834141 T^{6}$$)($$1 + 435 T + 538386 T^{2} + 197399599 T^{3} + 122203392666 T^{4} + 22411362847035 T^{5} + 11694146092834141 T^{6}$$)($$1 + 435 T + 538386 T^{2} + 197399599 T^{3} + 122203392666 T^{4} + 22411362847035 T^{5} + 11694146092834141 T^{6}$$)($$1 - 847 T + 742839 T^{2} - 343640018 T^{3} + 168610339059 T^{4} - 43637757083767 T^{5} + 11694146092834141 T^{6}$$)($$1 + 399 T + 471354 T^{2} + 102958675 T^{3} + 106988402274 T^{4} + 20556629370039 T^{5} + 11694146092834141 T^{6}$$)($$1 + 1887 T + 2142373 T^{2} + 1600932519 T^{3} + 892820589940 T^{4} + 363381264095139 T^{5} + 110375858980898653 T^{6} + 22066853677178024067 T^{7} +$$$$26\!\cdots\!21$$$$T^{8}$$)($$1 - 206 T + 262540 T^{2} + 203370646 T^{3} - 30745757386 T^{4} + 46161272599726 T^{5} + 13526159084736940 T^{6} - 2408994095123833046 T^{7} +$$$$26\!\cdots\!21$$$$T^{8}$$)($$1 - 206 T + 262540 T^{2} + 203370646 T^{3} - 30745757386 T^{4} + 46161272599726 T^{5} + 13526159084736940 T^{6} - 2408994095123833046 T^{7} +$$$$26\!\cdots\!21$$$$T^{8}$$)($$1 + 1887 T + 2142373 T^{2} + 1600932519 T^{3} + 892820589940 T^{4} + 363381264095139 T^{5} + 110375858980898653 T^{6} + 22066853677178024067 T^{7} +$$$$26\!\cdots\!21$$$$T^{8}$$)($$1 - 234 T + 669195 T^{2} - 183412906 T^{3} + 270529539723 T^{4} - 67681258887312 T^{5} + 72594103575881649 T^{6} - 15362359823500965072 T^{7} +$$$$13\!\cdots\!03$$$$T^{8} -$$$$21\!\cdots\!46$$$$T^{9} +$$$$17\!\cdots\!95$$$$T^{10} -$$$$14\!\cdots\!34$$$$T^{11} +$$$$13\!\cdots\!81$$$$T^{12}$$)($$1 - 413 T + 1339791 T^{2} - 436045567 T^{3} + 747150670643 T^{4} - 190166201389488 T^{5} + 224505021934505690 T^{6} - 43164114557587375728 T^{7} +$$$$38\!\cdots\!23$$$$T^{8} -$$$$50\!\cdots\!47$$$$T^{9} +$$$$35\!\cdots\!11$$$$T^{10} -$$$$24\!\cdots\!13$$$$T^{11} +$$$$13\!\cdots\!81$$$$T^{12}$$)($$1 + 66 T + 790809 T^{2} + 118715102 T^{3} + 333726362325 T^{4} + 50679088503858 T^{5} + 92933055751920075 T^{6} + 11503190187694192698 T^{7} +$$$$17\!\cdots\!25$$$$T^{8} +$$$$13\!\cdots\!82$$$$T^{9} +$$$$20\!\cdots\!89$$$$T^{10} +$$$$39\!\cdots\!66$$$$T^{11} +$$$$13\!\cdots\!81$$$$T^{12}$$)($$1 - 413 T + 1339791 T^{2} - 436045567 T^{3} + 747150670643 T^{4} - 190166201389488 T^{5} + 224505021934505690 T^{6} - 43164114557587375728 T^{7} +$$$$38\!\cdots\!23$$$$T^{8} -$$$$50\!\cdots\!47$$$$T^{9} +$$$$35\!\cdots\!11$$$$T^{10} -$$$$24\!\cdots\!13$$$$T^{11} +$$$$13\!\cdots\!81$$$$T^{12}$$)($$1 + 66 T + 790809 T^{2} + 118715102 T^{3} + 333726362325 T^{4} + 50679088503858 T^{5} + 92933055751920075 T^{6} + 11503190187694192698 T^{7} +$$$$17\!\cdots\!25$$$$T^{8} +$$$$13\!\cdots\!82$$$$T^{9} +$$$$20\!\cdots\!89$$$$T^{10} +$$$$39\!\cdots\!66$$$$T^{11} +$$$$13\!\cdots\!81$$$$T^{12}$$)($$1 - 234 T + 669195 T^{2} - 183412906 T^{3} + 270529539723 T^{4} - 67681258887312 T^{5} + 72594103575881649 T^{6} - 15362359823500965072 T^{7} +$$$$13\!\cdots\!03$$$$T^{8} -$$$$21\!\cdots\!46$$$$T^{9} +$$$$17\!\cdots\!95$$$$T^{10} -$$$$14\!\cdots\!34$$$$T^{11} +$$$$13\!\cdots\!81$$$$T^{12}$$)($$1 - 522 T + 697731 T^{2} - 475969908 T^{3} + 318588725511 T^{4} - 208602875014716 T^{5} + 116035496961565569 T^{6} - 61351887514361014494 T^{7} +$$$$31\!\cdots\!92$$$$T^{8} -$$$$13\!\cdots\!14$$$$T^{9} +$$$$59\!\cdots\!09$$$$T^{10} -$$$$24\!\cdots\!56$$$$T^{11} +$$$$84\!\cdots\!31$$$$T^{12} -$$$$28\!\cdots\!08$$$$T^{13} +$$$$95\!\cdots\!11$$$$T^{14} -$$$$16\!\cdots\!42$$$$T^{15} +$$$$70\!\cdots\!41$$$$T^{16}$$)($$1 - 522 T + 697731 T^{2} - 475969908 T^{3} + 318588725511 T^{4} - 208602875014716 T^{5} + 116035496961565569 T^{6} - 61351887514361014494 T^{7} +$$$$31\!\cdots\!92$$$$T^{8} -$$$$13\!\cdots\!14$$$$T^{9} +$$$$59\!\cdots\!09$$$$T^{10} -$$$$24\!\cdots\!56$$$$T^{11} +$$$$84\!\cdots\!31$$$$T^{12} -$$$$28\!\cdots\!08$$$$T^{13} +$$$$95\!\cdots\!11$$$$T^{14} -$$$$16\!\cdots\!42$$$$T^{15} +$$$$70\!\cdots\!41$$$$T^{16}$$)($$1 + 780 T + 1135677 T^{2} + 647910789 T^{3} + 591241498989 T^{4} + 261178195066221 T^{5} + 193361126165412870 T^{6} + 71432426541342917697 T^{7} +$$$$49\!\cdots\!74$$$$T^{8} +$$$$16\!\cdots\!41$$$$T^{9} +$$$$11\!\cdots\!94$$$$T^{10} +$$$$36\!\cdots\!17$$$$T^{11} +$$$$22\!\cdots\!70$$$$T^{12} +$$$$69\!\cdots\!41$$$$T^{13} +$$$$35\!\cdots\!89$$$$T^{14} +$$$$88\!\cdots\!09$$$$T^{15} +$$$$35\!\cdots\!97$$$$T^{16} +$$$$54\!\cdots\!80$$$$T^{17} +$$$$15\!\cdots\!21$$$$T^{18}$$)($$1 + 816 T + 1122447 T^{2} + 493883925 T^{3} + 490784912367 T^{4} + 163325238715245 T^{5} + 165200666778849108 T^{6} + 44304792008763960825 T^{7} +$$$$42\!\cdots\!20$$$$T^{8} +$$$$93\!\cdots\!71$$$$T^{9} +$$$$96\!\cdots\!20$$$$T^{10} +$$$$22\!\cdots\!25$$$$T^{11} +$$$$19\!\cdots\!28$$$$T^{12} +$$$$43\!\cdots\!45$$$$T^{13} +$$$$29\!\cdots\!67$$$$T^{14} +$$$$67\!\cdots\!25$$$$T^{15} +$$$$34\!\cdots\!67$$$$T^{16} +$$$$57\!\cdots\!56$$$$T^{17} +$$$$15\!\cdots\!21$$$$T^{18}$$)($$1 + 816 T + 1122447 T^{2} + 493883925 T^{3} + 490784912367 T^{4} + 163325238715245 T^{5} + 165200666778849108 T^{6} + 44304792008763960825 T^{7} +$$$$42\!\cdots\!20$$$$T^{8} +$$$$93\!\cdots\!71$$$$T^{9} +$$$$96\!\cdots\!20$$$$T^{10} +$$$$22\!\cdots\!25$$$$T^{11} +$$$$19\!\cdots\!28$$$$T^{12} +$$$$43\!\cdots\!45$$$$T^{13} +$$$$29\!\cdots\!67$$$$T^{14} +$$$$67\!\cdots\!25$$$$T^{15} +$$$$34\!\cdots\!67$$$$T^{16} +$$$$57\!\cdots\!56$$$$T^{17} +$$$$15\!\cdots\!21$$$$T^{18}$$)($$1 + 780 T + 1135677 T^{2} + 647910789 T^{3} + 591241498989 T^{4} + 261178195066221 T^{5} + 193361126165412870 T^{6} + 71432426541342917697 T^{7} +$$$$49\!\cdots\!74$$$$T^{8} +$$$$16\!\cdots\!41$$$$T^{9} +$$$$11\!\cdots\!94$$$$T^{10} +$$$$36\!\cdots\!17$$$$T^{11} +$$$$22\!\cdots\!70$$$$T^{12} +$$$$69\!\cdots\!41$$$$T^{13} +$$$$35\!\cdots\!89$$$$T^{14} +$$$$88\!\cdots\!09$$$$T^{15} +$$$$35\!\cdots\!97$$$$T^{16} +$$$$54\!\cdots\!80$$$$T^{17} +$$$$15\!\cdots\!21$$$$T^{18}$$)($$1 - 1438 T + 2332775 T^{2} - 2104610660 T^{3} + 2000677554217 T^{4} - 1328482928690564 T^{5} + 949524151283534027 T^{6} -$$$$51\!\cdots\!66$$$$T^{7} +$$$$31\!\cdots\!75$$$$T^{8} -$$$$14\!\cdots\!20$$$$T^{9} +$$$$83\!\cdots\!98$$$$T^{10} -$$$$36\!\cdots\!52$$$$T^{11} +$$$$20\!\cdots\!70$$$$T^{12} -$$$$83\!\cdots\!12$$$$T^{13} +$$$$43\!\cdots\!78$$$$T^{14} -$$$$17\!\cdots\!20$$$$T^{15} +$$$$82\!\cdots\!75$$$$T^{16} -$$$$30\!\cdots\!66$$$$T^{17} +$$$$12\!\cdots\!87$$$$T^{18} -$$$$41\!\cdots\!04$$$$T^{19} +$$$$14\!\cdots\!97$$$$T^{20} -$$$$33\!\cdots\!60$$$$T^{21} +$$$$84\!\cdots\!75$$$$T^{22} -$$$$11\!\cdots\!78$$$$T^{23} +$$$$18\!\cdots\!61$$$$T^{24}$$)($$1 - 1438 T + 2332775 T^{2} - 2104610660 T^{3} + 2000677554217 T^{4} - 1328482928690564 T^{5} + 949524151283534027 T^{6} -$$$$51\!\cdots\!66$$$$T^{7} +$$$$31\!\cdots\!75$$$$T^{8} -$$$$14\!\cdots\!20$$$$T^{9} +$$$$83\!\cdots\!98$$$$T^{10} -$$$$36\!\cdots\!52$$$$T^{11} +$$$$20\!\cdots\!70$$$$T^{12} -$$$$83\!\cdots\!12$$$$T^{13} +$$$$43\!\cdots\!78$$$$T^{14} -$$$$17\!\cdots\!20$$$$T^{15} +$$$$82\!\cdots\!75$$$$T^{16} -$$$$30\!\cdots\!66$$$$T^{17} +$$$$12\!\cdots\!87$$$$T^{18} -$$$$41\!\cdots\!04$$$$T^{19} +$$$$14\!\cdots\!97$$$$T^{20} -$$$$33\!\cdots\!60$$$$T^{21} +$$$$84\!\cdots\!75$$$$T^{22} -$$$$11\!\cdots\!78$$$$T^{23} +$$$$18\!\cdots\!61$$$$T^{24}$$)
$67$ ($$1 + 132 T + 300763 T^{2}$$)($$1 - 465 T + 300763 T^{2}$$)($$1 + 231 T + 300763 T^{2}$$)($$1 + 444 T + 300763 T^{2}$$)($$1 + 465 T + 300763 T^{2}$$)($$1 - 231 T + 300763 T^{2}$$)($$1 - 240 T + 300763 T^{2}$$)($$1 + 684 T + 300763 T^{2}$$)($$1 + 884 T + 300763 T^{2}$$)($$1 - 133 T + 585147 T^{2} - 40001479 T^{3} + 90458382169 T^{4}$$)($$1 + 390 T + 492551 T^{2} + 117297570 T^{3} + 90458382169 T^{4}$$)($$1 - 912 T + 595430 T^{2} - 274295856 T^{3} + 90458382169 T^{4}$$)($$1 + 204 T + 510518 T^{2} + 61355652 T^{3} + 90458382169 T^{4}$$)($$1 - 140 T + 502998 T^{2} - 42106820 T^{3} + 90458382169 T^{4}$$)($$1 - 204 T + 510518 T^{2} - 61355652 T^{3} + 90458382169 T^{4}$$)($$1 + 133 T + 585147 T^{2} + 40001479 T^{3} + 90458382169 T^{4}$$)($$1 - 390 T + 492551 T^{2} - 117297570 T^{3} + 90458382169 T^{4}$$)($$1 - 268 T + 607185 T^{2} - 79961864 T^{3} + 182618782155 T^{4} - 24242846421292 T^{5} + 27206534396294947 T^{6}$$)($$1 - 61 T + 714028 T^{2} - 64299029 T^{3} + 214753203364 T^{4} - 5517961312309 T^{5} + 27206534396294947 T^{6}$$)($$1 - 719 T + 1051816 T^{2} - 442111627 T^{3} + 316347335608 T^{4} - 65039576779511 T^{5} + 27206534396294947 T^{6}$$)($$1 + 719 T + 1051816 T^{2} + 442111627 T^{3} + 316347335608 T^{4} + 65039576779511 T^{5} + 27206534396294947 T^{6}$$)($$1 + 268 T + 607185 T^{2} + 79961864 T^{3} + 182618782155 T^{4} + 24242846421292 T^{5} + 27206534396294947 T^{6}$$)($$1 + 61 T + 714028 T^{2} + 64299029 T^{3} + 214753203364 T^{4} + 5517961312309 T^{5} + 27206534396294947 T^{6}$$)($$1 - 99 T + 28829 T^{2} + 25802613 T^{3} + 100851185532 T^{4} + 7760471293719 T^{5} + 2607824699550101 T^{6} - 2693446905233199753 T^{7} +$$$$81\!\cdots\!61$$$$T^{8}$$)($$1 + 587 T + 192513 T^{2} + 171503 T^{3} + 50738624180 T^{4} + 51581756789 T^{5} + 17414414526500697 T^{6} + 15970235690625133889 T^{7} +$$$$81\!\cdots\!61$$$$T^{8}$$)($$1 - 587 T + 192513 T^{2} - 171503 T^{3} + 50738624180 T^{4} - 51581756789 T^{5} + 17414414526500697 T^{6} - 15970235690625133889 T^{7} +$$$$81\!\cdots\!61$$$$T^{8}$$)($$1 + 99 T + 28829 T^{2} - 25802613 T^{3} + 100851185532 T^{4} - 7760471293719 T^{5} + 2607824699550101 T^{6} + 2693446905233199753 T^{7} +$$$$81\!\cdots\!61$$$$T^{8}$$)($$1 - 198 T + 1241841 T^{2} - 217030661 T^{3} + 741434278809 T^{4} - 120298869319047 T^{5} + 276364681771283282 T^{6} - 36181448833004532861 T^{7} +$$$$67\!\cdots\!21$$$$T^{8} -$$$$59\!\cdots\!67$$$$T^{9} +$$$$10\!\cdots\!01$$$$T^{10} -$$$$48\!\cdots\!14$$$$T^{11} +$$$$74\!\cdots\!09$$$$T^{12}$$)($$1 - 751 T + 765631 T^{2} - 339830409 T^{3} + 114933843411 T^{4} - 2227038766630 T^{5} - 12874199741918342 T^{6} - 669810860567938690 T^{7} +$$$$10\!\cdots\!59$$$$T^{8} -$$$$92\!\cdots\!23$$$$T^{9} +$$$$62\!\cdots\!91$$$$T^{10} -$$$$18\!\cdots\!93$$$$T^{11} +$$$$74\!\cdots\!09$$$$T^{12}$$)($$1 + 966 T + 1700835 T^{2} + 1163048981 T^{3} + 1166958936033 T^{4} + 614419732039239 T^{5} + 449693097748602014 T^{6} +$$$$18\!\cdots\!57$$$$T^{7} +$$$$10\!\cdots\!77$$$$T^{8} +$$$$31\!\cdots\!07$$$$T^{9} +$$$$13\!\cdots\!35$$$$T^{10} +$$$$23\!\cdots\!38$$$$T^{11} +$$$$74\!\cdots\!09$$$$T^{12}$$)($$1 + 751 T + 765631 T^{2} + 339830409 T^{3} + 114933843411 T^{4} + 2227038766630 T^{5} - 12874199741918342 T^{6} + 669810860567938690 T^{7} +$$$$10\!\cdots\!59$$$$T^{8} +$$$$92\!\cdots\!23$$$$T^{9} +$$$$62\!\cdots\!91$$$$T^{10} +$$$$18\!\cdots\!93$$$$T^{11} +$$$$74\!\cdots\!09$$$$T^{12}$$)($$1 - 966 T + 1700835 T^{2} - 1163048981 T^{3} + 1166958936033 T^{4} - 614419732039239 T^{5} + 449693097748602014 T^{6} -$$$$18\!\cdots\!57$$$$T^{7} +$$$$10\!\cdots\!77$$$$T^{8} -$$$$31\!\cdots\!07$$$$T^{9} +$$$$13\!\cdots\!35$$$$T^{10} -$$$$23\!\cdots\!38$$$$T^{11} +$$$$74\!\cdots\!09$$$$T^{12}$$)($$1 + 198 T + 1241841 T^{2} + 217030661 T^{3} + 741434278809 T^{4} + 120298869319047 T^{5} + 276364681771283282 T^{6} + 36181448833004532861 T^{7} +$$$$67\!\cdots\!21$$$$T^{8} +$$$$59\!\cdots\!67$$$$T^{9} +$$$$10\!\cdots\!01$$$$T^{10} +$$$$48\!\cdots\!14$$$$T^{11} +$$$$74\!\cdots\!09$$$$T^{12}$$)($$1 - 2484 T + 4745503 T^{2} - 6208481772 T^{3} + 6881620180303 T^{4} - 6164269496205912 T^{5} + 4844002809869578321 T^{6} -$$$$32\!\cdots\!16$$$$T^{7} +$$$$19\!\cdots\!48$$$$T^{8} -$$$$97\!\cdots\!08$$$$T^{9} +$$$$43\!\cdots\!49$$$$T^{10} -$$$$16\!\cdots\!64$$$$T^{11} +$$$$56\!\cdots\!83$$$$T^{12} -$$$$15\!\cdots\!96$$$$T^{13} +$$$$35\!\cdots\!27$$$$T^{14} -$$$$55\!\cdots\!28$$$$T^{15} +$$$$66\!\cdots\!21$$$$T^{16}$$)($$1 + 2484 T + 4745503 T^{2} + 6208481772 T^{3} + 6881620180303 T^{4} + 6164269496205912 T^{5} + 4844002809869578321 T^{6} +$$$$32\!\cdots\!16$$$$T^{7} +$$$$19\!\cdots\!48$$$$T^{8} +$$$$97\!\cdots\!08$$$$T^{9} +$$$$43\!\cdots\!49$$$$T^{10} +$$$$16\!\cdots\!64$$$$T^{11} +$$$$56\!\cdots\!83$$$$T^{12} +$$$$15\!\cdots\!96$$$$T^{13} +$$$$35\!\cdots\!27$$$$T^{14} +$$$$55\!\cdots\!28$$$$T^{15} +$$$$66\!\cdots\!21$$$$T^{16}$$)($$1 + 1596 T + 1906629 T^{2} + 1531882766 T^{3} + 1142430228957 T^{4} + 748382088900606 T^{5} + 503169107268503610 T^{6} +$$$$31\!\cdots\!36$$$$T^{7} +$$$$19\!\cdots\!69$$$$T^{8} +$$$$10\!\cdots\!24$$$$T^{9} +$$$$58\!\cdots\!47$$$$T^{10} +$$$$28\!\cdots\!84$$$$T^{11} +$$$$13\!\cdots\!70$$$$T^{12} +$$$$61\!\cdots\!66$$$$T^{13} +$$$$28\!\cdots\!51$$$$T^{14} +$$$$11\!\cdots\!94$$$$T^{15} +$$$$42\!\cdots\!43$$$$T^{16} +$$$$10\!\cdots\!16$$$$T^{17} +$$$$20\!\cdots\!23$$$$T^{18}$$)($$1 + 2388 T + 4178355 T^{2} + 5414998450 T^{3} + 5867795345733 T^{4} + 5405793513982596 T^{5} + 4376388157649973150 T^{6} +$$$$31\!\cdots\!56$$$$T^{7} +$$$$20\!\cdots\!03$$$$T^{8} +$$$$11\!\cdots\!08$$$$T^{9} +$$$$60\!\cdots\!89$$$$T^{10} +$$$$28\!\cdots\!64$$$$T^{11} +$$$$11\!\cdots\!50$$$$T^{12} +$$$$44\!\cdots\!56$$$$T^{13} +$$$$14\!\cdots\!19$$$$T^{14} +$$$$40\!\cdots\!50$$$$T^{15} +$$$$93\!\cdots\!85$$$$T^{16} +$$$$15\!\cdots\!48$$$$T^{17} +$$$$20\!\cdots\!23$$$$T^{18}$$)($$1 - 2388 T + 4178355 T^{2} - 5414998450 T^{3} + 5867795345733 T^{4} - 5405793513982596 T^{5} + 4376388157649973150 T^{6} -$$$$31\!\cdots\!56$$$$T^{7} +$$$$20\!\cdots\!03$$$$T^{8} -$$$$11\!\cdots\!08$$$$T^{9} +$$$$60\!\cdots\!89$$$$T^{10} -$$$$28\!\cdots\!64$$$$T^{11} +$$$$11\!\cdots\!50$$$$T^{12} -$$$$44\!\cdots\!56$$$$T^{13} +$$$$14\!\cdots\!19$$$$T^{14} -$$$$40\!\cdots\!50$$$$T^{15} +$$$$93\!\cdots\!85$$$$T^{16} -$$$$15\!\cdots\!48$$$$T^{17} +$$$$20\!\cdots\!23$$$$T^{18}$$)($$1 - 1596 T + 1906629 T^{2} - 1531882766 T^{3} + 1142430228957 T^{4} - 748382088900606 T^{5} + 503169107268503610 T^{6} -$$$$31\!\cdots\!36$$$$T^{7} +$$$$19\!\cdots\!69$$$$T^{8} -$$$$10\!\cdots\!24$$$$T^{9} +$$$$58\!\cdots\!47$$$$T^{10} -$$$$28\!\cdots\!84$$$$T^{11} +$$$$13\!\cdots\!70$$$$T^{12} -$$$$61\!\cdots\!66$$$$T^{13} +$$$$28\!\cdots\!51$$$$T^{14} -$$$$11\!\cdots\!94$$$$T^{15} +$$$$42\!\cdots\!43$$$$T^{16} -$$$$10\!\cdots\!16$$$$T^{17} +$$$$20\!\cdots\!23$$$$T^{18}$$)($$1 + 1248 T + 1975339 T^{2} + 1769052996 T^{3} + 1718451368185 T^{4} + 1246928743362060 T^{5} + 958468120745602723 T^{6} +$$$$62\!\cdots\!36$$$$T^{7} +$$$$42\!\cdots\!07$$$$T^{8} +$$$$25\!\cdots\!96$$$$T^{9} +$$$$16\!\cdots\!82$$$$T^{10} +$$$$94\!\cdots\!20$$$$T^{11} +$$$$55\!\cdots\!50$$$$T^{12} +$$$$28\!\cdots\!60$$$$T^{13} +$$$$15\!\cdots\!58$$$$T^{14} +$$$$70\!\cdots\!12$$$$T^{15} +$$$$34\!\cdots\!27$$$$T^{16} +$$$$15\!\cdots\!48$$$$T^{17} +$$$$70\!\cdots\!07$$$$T^{18} +$$$$27\!\cdots\!20$$$$T^{19} +$$$$11\!\cdots\!85$$$$T^{20} +$$$$35\!\cdots\!08$$$$T^{21} +$$$$11\!\cdots\!11$$$$T^{22} +$$$$22\!\cdots\!76$$$$T^{23} +$$$$54\!\cdots\!81$$$$T^{24}$$)($$1 - 1248 T + 1975339 T^{2} - 1769052996 T^{3} + 1718451368185 T^{4} - 1246928743362060 T^{5} + 958468120745602723 T^{6} -$$$$62\!\cdots\!36$$$$T^{7} +$$$$42\!\cdots\!07$$$$T^{8} -$$$$25\!\cdots\!96$$$$T^{9} +$$$$16\!\cdots\!82$$$$T^{10} -$$$$94\!\cdots\!20$$$$T^{11} +$$$$55\!\cdots\!50$$$$T^{12} -$$$$28\!\cdots\!60$$$$T^{13} +$$$$15\!\cdots\!58$$$$T^{14} -$$$$70\!\cdots\!12$$$$T^{15} +$$$$34\!\cdots\!27$$$$T^{16} -$$$$15\!\cdots\!48$$$$T^{17} +$$$$70\!\cdots\!07$$$$T^{18} -$$$$27\!\cdots\!20$$$$T^{19} +$$$$11\!\cdots\!85$$$$T^{20} -$$$$35\!\cdots\!08$$$$T^{21} +$$$$11\!\cdots\!11$$$$T^{22} -$$$$22\!\cdots\!76$$$$T^{23} +$$$$54\!\cdots\!81$$$$T^{24}$$)
$71$ ($$1 + 472 T + 357911 T^{2}$$)($$1 + 110 T + 357911 T^{2}$$)($$1 - 578 T + 357911 T^{2}$$)($$1 - 952 T + 357911 T^{2}$$)($$1 - 110 T + 357911 T^{2}$$)($$1 + 578 T + 357911 T^{2}$$)($$1 - 800 T + 357911 T^{2}$$)($$1 + 992 T + 357911 T^{2}$$)($$1 + 792 T + 357911 T^{2}$$)($$1 - 459 T + 693461 T^{2} - 164281149 T^{3} + 128100283921 T^{4}$$)($$1 - 532 T + 647858 T^{2} - 190408652 T^{3} + 128100283921 T^{4}$$)($$1 + 704 T + 560174 T^{2} + 251969344 T^{3} + 128100283921 T^{4}$$)($$1 - 1752 T + 1438126 T^{2} - 627060072 T^{3} + 128100283921 T^{4}$$)($$1 - 480 T + 420910 T^{2} - 171797280 T^{3} + 128100283921 T^{4}$$)($$1 + 1752 T + 1438126 T^{2} + 627060072 T^{3} + 128100283921 T^{4}$$)($$1 + 459 T + 693461 T^{2} + 164281149 T^{3} + 128100283921 T^{4}$$)($$1 + 532 T + 647858 T^{2} + 190408652 T^{3} + 128100283921 T^{4}$$)($$1 - 384 T + 700197 T^{2} - 316078080 T^{3} + 250608208467 T^{4} - 49190509025664 T^{5} + 45848500718449031 T^{6}$$)($$1 - 974 T + 1095153 T^{2} - 680220716 T^{3} + 391967305383 T^{4} - 124769676539054 T^{5} + 45848500718449031 T^{6}$$)($$1 - 62 T + 355521 T^{2} + 66663700 T^{3} + 127244876631 T^{4} - 7942217603102 T^{5} + 45848500718449031 T^{6}$$)($$1 + 62 T + 355521 T^{2} - 66663700 T^{3} + 127244876631 T^{4} + 7942217603102 T^{5} + 45848500718449031 T^{6}$$)($$1 + 384 T + 700197 T^{2} + 316078080 T^{3} + 250608208467 T^{4} + 49190509025664 T^{5} + 45848500718449031 T^{6}$$)($$1 + 974 T + 1095153 T^{2} + 680220716 T^{3} + 391967305383 T^{4} + 124769676539054 T^{5} + 45848500718449031 T^{6}$$)($$1 - 1307 T + 1654709 T^{2} - 1270116095 T^{3} + 937996849460 T^{4} - 454588521677545 T^{5} + 211968692706633989 T^{6} - 59923990439012883517 T^{7} +$$$$16\!\cdots\!41$$$$T^{8}$$)($$1 - 1161 T + 1316353 T^{2} - 901022373 T^{3} + 665017818144 T^{4} - 322485818542803 T^{5} + 168625193040260113 T^{6} - 53230109334119324991 T^{7} +$$$$16\!\cdots\!41$$$$T^{8}$$)($$1 + 1161 T + 1316353 T^{2} + 901022373 T^{3} + 665017818144 T^{4} + 322485818542803 T^{5} + 168625193040260113 T^{6} + 53230109334119324991 T^{7} +$$$$16\!\cdots\!41$$$$T^{8}$$)($$1 + 1307 T + 1654709 T^{2} + 1270116095 T^{3} + 937996849460 T^{4} + 454588521677545 T^{5} + 211968692706633989 T^{6} + 59923990439012883517 T^{7} +$$$$16\!\cdots\!41$$$$T^{8}$$)($$1 + 786 T + 1932936 T^{2} + 1198512067 T^{3} + 1616024001045 T^{4} + 792170714475630 T^{5} + 752617224743139943 T^{6} +$$$$28\!\cdots\!30$$$$T^{7} +$$$$20\!\cdots\!45$$$$T^{8} +$$$$54\!\cdots\!77$$$$T^{9} +$$$$31\!\cdots\!76$$$$T^{10} +$$$$46\!\cdots\!86$$$$T^{11} +$$$$21\!\cdots\!61$$$$T^{12}$$)($$1 - 281 T + 1728581 T^{2} - 370980491 T^{3} + 1338247600543 T^{4} - 222770116486122 T^{5} + 606666390888947382 T^{6} - 79731875161664411142 T^{7} +$$$$17\!\cdots\!03$$$$T^{8} -$$$$17\!\cdots\!21$$$$T^{9} +$$$$28\!\cdots\!21$$$$T^{10} -$$$$16\!\cdots\!31$$$$T^{11} +$$$$21\!\cdots\!61$$$$T^{12}$$)($$1 - 1338 T + 2049000 T^{2} - 1856728103 T^{3} + 1745936960781 T^{4} - 1194510973193118 T^{5} + 817777864933568215 T^{6} -$$$$42\!\cdots\!98$$$$T^{7} +$$$$22\!\cdots\!01$$$$T^{8} -$$$$85\!\cdots\!93$$$$T^{9} +$$$$33\!\cdots\!00$$$$T^{10} -$$$$78\!\cdots\!38$$$$T^{11} +$$$$21\!\cdots\!61$$$$T^{12}$$)($$1 + 281 T + 1728581 T^{2} + 370980491 T^{3} + 1338247600543 T^{4} + 222770116486122 T^{5} + 606666390888947382 T^{6} + 79731875161664411142 T^{7} +$$$$17\!\cdots\!03$$$$T^{8} +$$$$17\!\cdots\!21$$$$T^{9} +$$$$28\!\cdots\!21$$$$T^{10} +$$$$16\!\cdots\!31$$$$T^{11} +$$$$21\!\cdots\!61$$$$T^{12}$$)($$1 + 1338 T + 2049000 T^{2} + 1856728103 T^{3} + 1745936960781 T^{4} + 1194510973193118 T^{5} + 817777864933568215 T^{6} +$$$$42\!\cdots\!98$$$$T^{7} +$$$$22\!\cdots\!01$$$$T^{8} +$$$$85\!\cdots\!93$$$$T^{9} +$$$$33\!\cdots\!00$$$$T^{10} +$$$$78\!\cdots\!38$$$$T^{11} +$$$$21\!\cdots\!61$$$$T^{12}$$)($$1 - 786 T + 1932936 T^{2} - 1198512067 T^{3} + 1616024001045 T^{4} - 792170714475630 T^{5} + 752617224743139943 T^{6} -$$$$28\!\cdots\!30$$$$T^{7} +$$$$20\!\cdots\!45$$$$T^{8} -$$$$54\!\cdots\!77$$$$T^{9} +$$$$31\!\cdots\!76$$$$T^{10} -$$$$46\!\cdots\!86$$$$T^{11} +$$$$21\!\cdots\!61$$$$T^{12}$$)($$1 + 1182 T + 2174033 T^{2} + 2115091266 T^{3} + 2221767690247 T^{4} + 1865699005888350 T^{5} + 1414855420966609607 T^{6} +$$$$10\!\cdots\!82$$$$T^{7} +$$$$60\!\cdots\!80$$$$T^{8} +$$$$36\!\cdots\!02$$$$T^{9} +$$$$18\!\cdots\!47$$$$T^{10} +$$$$85\!\cdots\!50$$$$T^{11} +$$$$36\!\cdots\!27$$$$T^{12} +$$$$12\!\cdots\!66$$$$T^{13} +$$$$45\!\cdots\!13$$$$T^{14} +$$$$88\!\cdots\!22$$$$T^{15} +$$$$26\!\cdots\!81$$$$T^{16}$$)($$1 - 1182 T + 2174033 T^{2} - 2115091266 T^{3} + 2221767690247 T^{4} - 1865699005888350 T^{5} + 1414855420966609607 T^{6} -$$$$10\!\cdots\!82$$$$T^{7} +$$$$60\!\cdots\!80$$$$T^{8} -$$$$36\!\cdots\!02$$$$T^{9} +$$$$18\!\cdots\!47$$$$T^{10} -$$$$85\!\cdots\!50$$$$T^{11} +$$$$36\!\cdots\!27$$$$T^{12} -$$$$12\!\cdots\!66$$$$T^{13} +$$$$45\!\cdots\!13$$$$T^{14} -$$$$88\!\cdots\!22$$$$T^{15} +$$$$26\!\cdots\!81$$$$T^{16}$$)($$1 + 2538 T + 4980333 T^{2} + 6955212323 T^{3} + 8346713691570 T^{4} + 8359974145421847 T^{5} + 7459799722588118455 T^{6} +$$$$58\!\cdots\!51$$$$T^{7} +$$$$41\!\cdots\!17$$$$T^{8} +$$$$25\!\cdots\!66$$$$T^{9} +$$$$14\!\cdots\!87$$$$T^{10} +$$$$74\!\cdots\!71$$$$T^{11} +$$$$34\!\cdots\!05$$$$T^{12} +$$$$13\!\cdots\!27$$$$T^{13} +$$$$49\!\cdots\!70$$$$T^{14} +$$$$14\!\cdots\!03$$$$T^{15} +$$$$37\!\cdots\!43$$$$T^{16} +$$$$68\!\cdots\!78$$$$T^{17} +$$$$96\!\cdots\!91$$$$T^{18}$$)($$1 + 2022 T + 3727173 T^{2} + 4297158861 T^{3} + 4686818356734 T^{4} + 3943081271901081 T^{5} + 3256955892402511559 T^{6} +$$$$22\!\cdots\!93$$$$T^{7} +$$$$15\!\cdots\!61$$$$T^{8} +$$$$91\!\cdots\!46$$$$T^{9} +$$$$55\!\cdots\!71$$$$T^{10} +$$$$28\!\cdots\!53$$$$T^{11} +$$$$14\!\cdots\!29$$$$T^{12} +$$$$64\!\cdots\!21$$$$T^{13} +$$$$27\!\cdots\!34$$$$T^{14} +$$$$90\!\cdots\!21$$$$T^{15} +$$$$28\!\cdots\!83$$$$T^{16} +$$$$54\!\cdots\!82$$$$T^{17} +$$$$96\!\cdots\!91$$$$T^{18}$$)($$1 - 2022 T + 3727173 T^{2} - 4297158861 T^{3} + 4686818356734 T^{4} - 3943081271901081 T^{5} + 3256955892402511559 T^{6} -$$$$22\!\cdots\!93$$$$T^{7} +$$$$15\!\cdots\!61$$$$T^{8} -$$$$91\!\cdots\!46$$$$T^{9} +$$$$55\!\cdots\!71$$$$T^{10} -$$$$28\!\cdots\!53$$$$T^{11} +$$$$14\!\cdots\!29$$$$T^{12} -$$$$64\!\cdots\!21$$$$T^{13} +$$$$27\!\cdots\!34$$$$T^{14} -$$$$90\!\cdots\!21$$$$T^{15} +$$$$28\!\cdots\!83$$$$T^{16} -$$$$54\!\cdots\!82$$$$T^{17} +$$$$96\!\cdots\!91$$$$T^{18}$$)($$1 - 2538 T + 4980333 T^{2} - 6955212323 T^{3} + 8346713691570 T^{4} - 8359974145421847 T^{5} + 7459799722588118455 T^{6} -$$$$58\!\cdots\!51$$$$T^{7} +$$$$41\!\cdots\!17$$$$T^{8} -$$$$25\!\cdots\!66$$$$T^{9} +$$$$14\!\cdots\!87$$$$T^{10} -$$$$74\!\cdots\!71$$$$T^{11} +$$$$34\!\cdots\!05$$$$T^{12} -$$$$13\!\cdots\!27$$$$T^{13} +$$$$49\!\cdots\!70$$$$T^{14} -$$$$14\!\cdots\!03$$$$T^{15} +$$$$37\!\cdots\!43$$$$T^{16} -$$$$68\!\cdots\!78$$$$T^{17} +$$$$96\!\cdots\!91$$$$T^{18}$$)($$1 + 1314 T + 1979429 T^{2} + 1755969998 T^{3} + 1873701962097 T^{4} + 1437214294105574 T^{5} + 1279151410772818029 T^{6} +$$$$89\!\cdots\!94$$$$T^{7} +$$$$71\!\cdots\!47$$$$T^{8} +$$$$45\!\cdots\!52$$$$T^{9} +$$$$32\!\cdots\!22$$$$T^{10} +$$$$19\!\cdots\!88$$$$T^{11} +$$$$12\!\cdots\!26$$$$T^{12} +$$$$69\!\cdots\!68$$$$T^{13} +$$$$41\!\cdots\!62$$$$T^{14} +$$$$20\!\cdots\!12$$$$T^{15} +$$$$11\!\cdots\!27$$$$T^{16} +$$$$52\!\cdots\!94$$$$T^{17} +$$$$26\!\cdots\!69$$$$T^{18} +$$$$10\!\cdots\!54$$$$T^{19} +$$$$50\!\cdots\!57$$$$T^{20} +$$$$16\!\cdots\!18$$$$T^{21} +$$$$68\!\cdots\!29$$$$T^{22} +$$$$16\!\cdots\!54$$$$T^{23} +$$$$44\!\cdots\!21$$$$T^{24}$$)($$1 - 1314 T + 1979429 T^{2} - 1755969998 T^{3} + 1873701962097 T^{4} - 1437214294105574 T^{5} + 1279151410772818029 T^{6} -$$$$89\!\cdots\!94$$$$T^{7} +$$$$71\!\cdots\!47$$$$T^{8} -$$$$45\!\cdots\!52$$$$T^{9} +$$$$32\!\cdots\!22$$$$T^{10} -$$$$19\!\cdots\!88$$$$T^{11} +$$$$12\!\cdots\!26$$$$T^{12} -$$$$69\!\cdots\!68$$$$T^{13} +$$$$41\!\cdots\!62$$$$T^{14} -$$$$20\!\cdots\!12$$$$T^{15} +$$$$11\!\cdots\!27$$$$T^{16} -$$$$52\!\cdots\!94$$$$T^{17} +$$$$26\!\cdots\!69$$$$T^{18} -$$$$10\!\cdots\!54$$$$T^{19} +$$$$50\!\cdots\!57$$$$T^{20} -$$$$16\!\cdots\!18$$$$T^{21} +$$$$68\!\cdots\!29$$$$T^{22} -$$$$16\!\cdots\!54$$$$T^{23} +$$$$44\!\cdots\!21$$$$T^{24}$$)
$73$ ($$1 + 1131 T + 389017 T^{2}$$)($$1 - 817 T + 389017 T^{2}$$)($$1 - 609 T + 389017 T^{2}$$)($$1 + 27 T + 389017 T^{2}$$)($$1 - 817 T + 389017 T^{2}$$)($$1 - 609 T + 389017 T^{2}$$)($$1 + 578 T + 389017 T^{2}$$)($$1 + 507 T + 389017 T^{2}$$)($$1 - 218 T + 389017 T^{2}$$)($$1 - 396 T + 810393 T^{2} - 154050732 T^{3} + 151334226289 T^{4}$$)($$1 + 870 T + 667259 T^{2} + 338444790 T^{3} + 151334226289 T^{4}$$)($$1 + 321 T + 792260 T^{2} + 124874457 T^{3} + 151334226289 T^{4}$$)($$1 + 1417 T + 1273668 T^{2} + 551237089 T^{3} + 151334226289 T^{4}$$)($$1 - 616 T + 842910 T^{2} - 239634472 T^{3} + 151334226289 T^{4}$$)($$1 + 1417 T + 1273668 T^{2} + 551237089 T^{3} + 151334226289 T^{4}$$)($$1 - 396 T + 810393 T^{2} - 154050732 T^{3} + 151334226289 T^{4}$$)($$1 + 870 T + 667259 T^{2} + 338444790 T^{3} + 151334226289 T^{4}$$)($$1 - 225 T + 421155 T^{2} - 43038502 T^{3} + 163836454635 T^{4} - 34050200915025 T^{5} + 58871586708267913 T^{6}$$)($$1 - 91 T + 598750 T^{2} + 96409345 T^{3} + 232923928750 T^{4} - 13771414592299 T^{5} + 58871586708267913 T^{6}$$)($$1 + 581 T + 656782 T^{2} + 522695089 T^{3} + 255499363294 T^{4} + 87925185473909 T^{5} + 58871586708267913 T^{6}$$)($$1 + 581 T + 656782 T^{2} + 522695089 T^{3} + 255499363294 T^{4} + 87925185473909 T^{5} + 58871586708267913 T^{6}$$)($$1 - 225 T + 421155 T^{2} - 43038502 T^{3} + 163836454635 T^{4} - 34050200915025 T^{5} + 58871586708267913 T^{6}$$)($$1 - 91 T + 598750 T^{2} + 96409345 T^{3} + 232923928750 T^{4} - 13771414592299 T^{5} + 58871586708267913 T^{6}$$)($$1 - 183 T + 569286 T^{2} + 252499074 T^{3} + 86239150787 T^{4} + 98226432270258 T^{5} + 86152456347159654 T^{6} - 10773500367613028079 T^{7} +$$$$22\!\cdots\!21$$$$T^{8}$$)($$1 - 445 T + 1238050 T^{2} - 491739130 T^{3} + 660119192903 T^{4} - 191294881135210 T^{5} + 187359338857096450 T^{6} - 26197856085179221285 T^{7} +$$$$22\!\cdots\!21$$$$T^{8}$$)($$1 - 445 T + 1238050 T^{2} - 491739130 T^{3} + 660119192903 T^{4} - 191294881135210 T^{5} + 187359338857096450 T^{6} - 26197856085179221285 T^{7} +$$$$22\!\cdots\!21$$$$T^{8}$$)($$1 - 183 T + 569286 T^{2} + 252499074 T^{3} + 86239150787 T^{4} + 98226432270258 T^{5} + 86152456347159654 T^{6} - 10773500367613028079 T^{7} +$$$$22\!\cdots\!21$$$$T^{8}$$)($$1 + 2175 T + 3601479 T^{2} + 4232308138 T^{3} + 4093466247450 T^{4} + 3282653119692672 T^{5} + 2217669732138942737 T^{6} +$$$$12\!\cdots\!24$$$$T^{7} +$$$$61\!\cdots\!50$$$$T^{8} +$$$$24\!\cdots\!94$$$$T^{9} +$$$$82\!\cdots\!59$$$$T^{10} +$$$$19\!\cdots\!75$$$$T^{11} +$$$$34\!\cdots\!69$$$$T^{12}$$)($$1 + 1120 T + 1546882 T^{2} + 1148898512 T^{3} + 1115045252495 T^{4} + 725532968606172 T^{5} + 550869559236177671 T^{6} +$$$$28\!\cdots\!24$$$$T^{7} +$$$$16\!\cdots\!55$$$$T^{8} +$$$$67\!\cdots\!56$$$$T^{9} +$$$$35\!\cdots\!22$$$$T^{10} +$$$$99\!\cdots\!40$$$$T^{11} +$$$$34\!\cdots\!69$$$$T^{12}$$)($$1 - 1293 T + 2637159 T^{2} - 2345263010 T^{3} + 2665952517630 T^{4} - 1749705676876452 T^{5} + 1393501026630267341 T^{6} -$$$$68\!\cdots\!84$$$$T^{7} +$$$$40\!\cdots\!70$$$$T^{8} -$$$$13\!\cdots\!30$$$$T^{9} +$$$$60\!\cdots\!39$$$$T^{10} -$$$$11\!\cdots\!01$$$$T^{11} +$$$$34\!\cdots\!69$$$$T^{12}$$)($$1 + 1120 T + 1546882 T^{2} + 1148898512 T^{3} + 1115045252495 T^{4} + 725532968606172 T^{5} + 550869559236177671 T^{6} +$$$$28\!\cdots\!24$$$$T^{7} +$$$$16\!\cdots\!55$$$$T^{8} +$$$$67\!\cdots\!56$$$$T^{9} +$$$$35\!\cdots\!22$$$$T^{10} +$$$$99\!\cdots\!40$$$$T^{11} +$$$$34\!\cdots\!69$$$$T^{12}$$)($$1 - 1293 T + 2637159 T^{2} - 2345263010 T^{3} + 2665952517630 T^{4} - 1749705676876452 T^{5} + 1393501026630267341 T^{6} -$$$$68\!\cdots\!84$$$$T^{7} +$$$$40\!\cdots\!70$$$$T^{8} -$$$$13\!\cdots\!30$$$$T^{9} +$$$$60\!\cdots\!39$$$$T^{10} -$$$$11\!\cdots\!01$$$$T^{11} +$$$$34\!\cdots\!69$$$$T^{12}$$)($$1 + 2175 T + 3601479 T^{2} + 4232308138 T^{3} + 4093466247450 T^{4} + 3282653119692672 T^{5} + 2217669732138942737 T^{6} +$$$$12\!\cdots\!24$$$$T^{7} +$$$$61\!\cdots\!50$$$$T^{8} +$$$$24\!\cdots\!94$$$$T^{9} +$$$$82\!\cdots\!59$$$$T^{10} +$$$$19\!\cdots\!75$$$$T^{11} +$$$$34\!\cdots\!69$$$$T^{12}$$)($$1 - 182 T + 1293141 T^{2} - 332078660 T^{3} + 966149212886 T^{4} - 352966753237126 T^{5} + 519787343049781320 T^{6} -$$$$21\!\cdots\!46$$$$T^{7} +$$$$21\!\cdots\!17$$$$T^{8} -$$$$83\!\cdots\!82$$$$T^{9} +$$$$78\!\cdots\!80$$$$T^{10} -$$$$20\!\cdots\!38$$$$T^{11} +$$$$22\!\cdots\!06$$$$T^{12} -$$$$29\!\cdots\!20$$$$T^{13} +$$$$44\!\cdots\!29$$$$T^{14} -$$$$24\!\cdots\!86$$$$T^{15} +$$$$52\!\cdots\!41$$$$T^{16}$$)($$1 - 182 T + 1293141 T^{2} - 332078660 T^{3} + 966149212886 T^{4} - 352966753237126 T^{5} + 519787343049781320 T^{6} -$$$$21\!\cdots\!46$$$$T^{7} +$$$$21\!\cdots\!17$$$$T^{8} -$$$$83\!\cdots\!82$$$$T^{9} +$$$$78\!\cdots\!80$$$$T^{10} -$$$$20\!\cdots\!38$$$$T^{11} +$$$$22\!\cdots\!06$$$$T^{12} -$$$$29\!\cdots\!20$$$$T^{13} +$$$$44\!\cdots\!29$$$$T^{14} -$$$$24\!\cdots\!86$$$$T^{15} +$$$$52\!\cdots\!41$$$$T^{16}$$)($$1 - 225 T + 1323627 T^{2} - 402394571 T^{3} + 1008209713659 T^{4} - 356860525344483 T^{5} + 557096384997554844 T^{6} -$$$$21\!\cdots\!71$$$$T^{7} +$$$$24\!\cdots\!97$$$$T^{8} -$$$$95\!\cdots\!17$$$$T^{9} +$$$$96\!\cdots\!49$$$$T^{10} -$$$$32\!\cdots\!19$$$$T^{11} +$$$$32\!\cdots\!72$$$$T^{12} -$$$$81\!\cdots\!43$$$$T^{13} +$$$$89\!\cdots\!63$$$$T^{14} -$$$$13\!\cdots\!99$$$$T^{15} +$$$$17\!\cdots\!71$$$$T^{16} -$$$$11\!\cdots\!25$$$$T^{17} +$$$$20\!\cdots\!97$$$$T^{18}$$)($$1 - 645 T + 1654155 T^{2} - 587534607 T^{3} + 1254843866283 T^{4} - 180583984844703 T^{5} + 596069244476044628 T^{6} + 46303703916362568969 T^{7} +$$$$22\!\cdots\!81$$$$T^{8} +$$$$43\!\cdots\!87$$$$T^{9} +$$$$87\!\cdots\!77$$$$T^{10} +$$$$70\!\cdots\!41$$$$T^{11} +$$$$35\!\cdots\!64$$$$T^{12} -$$$$41\!\cdots\!63$$$$T^{13} +$$$$11\!\cdots\!31$$$$T^{14} -$$$$20\!\cdots\!83$$$$T^{15} +$$$$22\!\cdots\!15$$$$T^{16} -$$$$33\!\cdots\!45$$$$T^{17} +$$$$20\!\cdots\!97$$$$T^{18}$$)($$1 - 645 T + 1654155 T^{2} - 587534607 T^{3} + 1254843866283 T^{4} - 180583984844703 T^{5} + 596069244476044628 T^{6} + 46303703916362568969 T^{7} +$$$$22\!\cdots\!81$$$$T^{8} +$$$$43\!\cdots\!87$$$$T^{9} +$$$$87\!\cdots\!77$$$$T^{10} +$$$$70\!\cdots\!41$$$$T^{11} +$$$$35\!\cdots\!64$$$$T^{12} -$$$$41\!\cdots\!63$$$$T^{13} +$$$$11\!\cdots\!31$$$$T^{14} -$$$$20\!\cdots\!83$$$$T^{15} +$$$$22\!\cdots\!15$$$$T^{16} -$$$$33\!\cdots\!45$$$$T^{17} +$$$$20\!\cdots\!97$$$$T^{18}$$)($$1 - 225 T + 1323627 T^{2} - 402394571 T^{3} + 1008209713659 T^{4} - 356860525344483 T^{5} + 557096384997554844 T^{6} -$$$$21\!\cdots\!71$$$$T^{7} +$$$$24\!\cdots\!97$$$$T^{8} -$$$$95\!\cdots\!17$$$$T^{9} +$$$$96\!\cdots\!49$$$$T^{10} -$$$$32\!\cdots\!19$$$$T^{11} +$$$$32\!\cdots\!72$$$$T^{12} -$$$$81\!\cdots\!43$$$$T^{13} +$$$$89\!\cdots\!63$$$$T^{14} -$$$$13\!\cdots\!99$$$$T^{15} +$$$$17\!\cdots\!71$$$$T^{16} -$$$$11\!\cdots\!25$$$$T^{17} +$$$$20\!\cdots\!97$$$$T^{18}$$)($$1 - 2860 T + 6261660 T^{2} - 9880623528 T^{3} + 13410802825650 T^{4} - 15361303843862940 T^{5} + 15843666915795563786 T^{6} -$$$$14\!\cdots\!40$$$$T^{7} +$$$$12\!\cdots\!35$$$$T^{8} -$$$$96\!\cdots\!84$$$$T^{9} +$$$$70\!\cdots\!50$$$$T^{10} -$$$$47\!\cdots\!60$$$$T^{11} +$$$$30\!\cdots\!89$$$$T^{12} -$$$$18\!\cdots\!20$$$$T^{13} +$$$$10\!\cdots\!50$$$$T^{14} -$$$$56\!\cdots\!92$$$$T^{15} +$$$$28\!\cdots\!35$$$$T^{16} -$$$$12\!\cdots\!80$$$$T^{17} +$$$$54\!\cdots\!34$$$$T^{18} -$$$$20\!\cdots\!20$$$$T^{19} +$$$$70\!\cdots\!50$$$$T^{20} -$$$$20\!\cdots\!16$$$$T^{21} +$$$$49\!\cdots\!40$$$$T^{22} -$$$$88\!\cdots\!80$$$$T^{23} +$$$$12\!\cdots\!61$$$$T^{24}$$)($$1 - 2860 T + 6261660 T^{2} - 9880623528 T^{3} + 13410802825650 T^{4} - 15361303843862940 T^{5} + 15843666915795563786 T^{6} -$$$$14\!\cdots\!40$$$$T^{7} +$$$$12\!\cdots\!35$$$$T^{8} -$$$$96\!\cdots\!84$$$$T^{9} +$$$$70\!\cdots\!50$$$$T^{10} -$$$$47\!\cdots\!60$$$$T^{11} +$$$$30\!\cdots\!89$$$$T^{12} -$$$$18\!\cdots\!20$$$$T^{13} +$$$$10\!\cdots\!50$$$$T^{14} -$$$$56\!\cdots\!92$$$$T^{15} +$$$$28\!\cdots\!35$$$$T^{16} -$$$$12\!\cdots\!80$$$$T^{17} +$$$$54\!\cdots\!34$$$$T^{18} -$$$$20\!\cdots\!20$$$$T^{19} +$$$$70\!\cdots\!50$$$$T^{20} -$$$$20\!\cdots\!16$$$$T^{21} +$$$$49\!\cdots\!40$$$$T^{22} -$$$$88\!\cdots\!80$$$$T^{23} +$$$$12\!\cdots\!61$$$$T^{24}$$)
$79$ ($$1 - 52 T + 493039 T^{2}$$)($$1 - 259 T + 493039 T^{2}$$)($$1 - 1259 T + 493039 T^{2}$$)($$1 - 556 T + 493039 T^{2}$$)($$1 + 259 T + 493039 T^{2}$$)($$1 + 1259 T + 493039 T^{2}$$)($$1 + 1078 T + 493039 T^{2}$$)($$1 + 980 T + 493039 T^{2}$$)($$1 - 520 T + 493039 T^{2}$$)($$1 + 1000 T + 1157953 T^{2} + 493039000 T^{3} + 243087455521 T^{4}$$)($$1 + 1762 T + 1756359 T^{2} + 868734718 T^{3} + 243087455521 T^{4}$$)($$1 - 512 T + 313422 T^{2} - 252435968 T^{3} + 243087455521 T^{4}$$)($$1 + 1092 T + 732062 T^{2} + 538398588 T^{3} + 243087455521 T^{4}$$)($$1 + 202 T + 763566 T^{2} + 99593878 T^{3} + 243087455521 T^{4}$$)($$1 - 1092 T + 732062 T^{2} - 538398588 T^{3} + 243087455521 T^{4}$$)($$1 - 1000 T + 1157953 T^{2} - 493039000 T^{3} + 243087455521 T^{4}$$)($$1 - 1762 T + 1756359 T^{2} - 868734718 T^{3} + 243087455521 T^{4}$$)($$1 + 576 T + 1555365 T^{2} + 566435232 T^{3} + 766855604235 T^{4} + 140018374380096 T^{5} + 119851595982618319 T^{6}$$)($$1 + 321 T + 1051536 T^{2} + 380263561 T^{3} + 518448257904 T^{4} + 78031073222241 T^{5} + 119851595982618319 T^{6}$$)($$1 - 489 T + 1384836 T^{2} - 430373365 T^{3} + 682778156604 T^{4} - 118869765749769 T^{5} + 119851595982618319 T^{6}$$)($$1 + 489 T + 1384836 T^{2} + 430373365 T^{3} + 682778156604 T^{4} + 118869765749769 T^{5} + 119851595982618319 T^{6}$$)($$1 - 576 T + 1555365 T^{2} - 566435232 T^{3} + 766855604235 T^{4} - 140018374380096 T^{5} + 119851595982618319 T^{6}$$)($$1 - 321 T + 1051536 T^{2} - 380263561 T^{3} + 518448257904 T^{4} - 78031073222241 T^{5} + 119851595982618319 T^{6}$$)($$1 - 2064 T + 3408543 T^{2} - 3424855304 T^{3} + 2897867671008 T^{4} - 1688587234228856 T^{5} + 828574044903915903 T^{6} -$$$$24\!\cdots\!16$$$$T^{7} +$$$$59\!\cdots\!41$$$$T^{8}$$)($$1 - 629 T + 1849174 T^{2} - 859161416 T^{3} + 1347914768639 T^{4} - 423600085383224 T^{5} + 449511002475589654 T^{6} - 75386653873066922651 T^{7} +$$$$59\!\cdots\!41$$$$T^{8}$$)($$1 + 629 T + 1849174 T^{2} + 859161416 T^{3} + 1347914768639 T^{4} + 423600085383224 T^{5} + 449511002475589654 T^{6} + 75386653873066922651 T^{7} +$$$$59\!\cdots\!41$$$$T^{8}$$)($$1 + 2064 T + 3408543 T^{2} + 3424855304 T^{3} + 2897867671008 T^{4} + 1688587234228856 T^{5} + 828574044903915903 T^{6} +$$$$24\!\cdots\!16$$$$T^{7} +$$$$59\!\cdots\!41$$$$T^{8}$$)($$1 - 1566 T + 2642274 T^{2} - 2673540349 T^{3} + 2921362201971 T^{4} - 2275549805288106 T^{5} + 1854233088491825751 T^{6} -$$$$11\!\cdots\!34$$$$T^{7} +$$$$71\!\cdots\!91$$$$T^{8} -$$$$32\!\cdots\!31$$$$T^{9} +$$$$15\!\cdots\!34$$$$T^{10} -$$$$45\!\cdots\!34$$$$T^{11} +$$$$14\!\cdots\!61$$$$T^{12}$$)($$1 + 2045 T + 3341452 T^{2} + 3485631518 T^{3} + 3332085484324 T^{4} + 2509208216174493 T^{5} + 1913585112546575742 T^{6} +$$$$12\!\cdots\!27$$$$T^{7} +$$$$80\!\cdots\!04$$$$T^{8} +$$$$41\!\cdots\!42$$$$T^{9} +$$$$19\!\cdots\!32$$$$T^{10} +$$$$59\!\cdots\!55$$$$T^{11} +$$$$14\!\cdots\!61$$$$T^{12}$$)($$1 - 1404 T + 2512854 T^{2} - 2542609811 T^{3} + 2872499425245 T^{4} - 2200168130242464 T^{5} + 1822449469533180213 T^{6} -$$$$10\!\cdots\!96$$$$T^{7} +$$$$69\!\cdots\!45$$$$T^{8} -$$$$30\!\cdots\!09$$$$T^{9} +$$$$14\!\cdots\!14$$$$T^{10} -$$$$40\!\cdots\!96$$$$T^{11} +$$$$14\!\cdots\!61$$$$T^{12}$$)($$1 - 2045 T + 3341452 T^{2} - 3485631518 T^{3} + 3332085484324 T^{4} - 2509208216174493 T^{5} + 1913585112546575742 T^{6} -$$$$12\!\cdots\!27$$$$T^{7} +$$$$80\!\cdots\!04$$$$T^{8} -$$$$41\!\cdots\!42$$$$T^{9} +$$$$19\!\cdots\!32$$$$T^{10} -$$$$59\!\cdots\!55$$$$T^{11} +$$$$14\!\cdots\!61$$$$T^{12}$$)($$1 + 1404 T + 2512854 T^{2} + 2542609811 T^{3} + 2872499425245 T^{4} + 2200168130242464 T^{5} + 1822449469533180213 T^{6} +$$$$10\!\cdots\!96$$$$T^{7} +$$$$69\!\cdots\!45$$$$T^{8} +$$$$30\!\cdots\!09$$$$T^{9} +$$$$14\!\cdots\!14$$$$T^{10} +$$$$40\!\cdots\!96$$$$T^{11} +$$$$14\!\cdots\!61$$$$T^{12}$$)($$1 + 1566 T + 2642274 T^{2} + 2673540349 T^{3} + 2921362201971 T^{4} + 2275549805288106 T^{5} + 1854233088491825751 T^{6} +$$$$11\!\cdots\!34$$$$T^{7} +$$$$71\!\cdots\!91$$$$T^{8} +$$$$32\!\cdots\!31$$$$T^{9} +$$$$15\!\cdots\!34$$$$T^{10} +$$$$45\!\cdots\!34$$$$T^{11} +$$$$14\!\cdots\!61$$$$T^{12}$$)($$1 - 2232 T + 4435302 T^{2} - 6015803208 T^{3} + 7470281971837 T^{4} - 7539981714952800 T^{5} + 7062132262573693678 T^{6} -$$$$56\!\cdots\!84$$$$T^{7} +$$$$42\!\cdots\!20$$$$T^{8} -$$$$28\!\cdots\!76$$$$T^{9} +$$$$17\!\cdots\!38$$$$T^{10} -$$$$90\!\cdots\!00$$$$T^{11} +$$$$44\!\cdots\!17$$$$T^{12} -$$$$17\!\cdots\!92$$$$T^{13} +$$$$63\!\cdots\!22$$$$T^{14} -$$$$15\!\cdots\!28$$$$T^{15} +$$$$34\!\cdots\!81$$$$T^{16}$$)($$1 + 2232 T + 4435302 T^{2} + 6015803208 T^{3} + 7470281971837 T^{4} + 7539981714952800 T^{5} + 7062132262573693678 T^{6} +$$$$56\!\cdots\!84$$$$T^{7} +$$$$42\!\cdots\!20$$$$T^{8} +$$$$28\!\cdots\!76$$$$T^{9} +$$$$17\!\cdots\!38$$$$T^{10} +$$$$90\!\cdots\!00$$$$T^{11} +$$$$44\!\cdots\!17$$$$T^{12} +$$$$17\!\cdots\!92$$$$T^{13} +$$$$63\!\cdots\!22$$$$T^{14} +$$$$15\!\cdots\!28$$$$T^{15} +$$$$34\!\cdots\!81$$$$T^{16}$$)($$1 + 834 T + 2049900 T^{2} + 1810631268 T^{3} + 2005015409121 T^{4} + 1582663665291078 T^{5} + 1249600227069326319 T^{6} +$$$$80\!\cdots\!37$$$$T^{7} +$$$$60\!\cdots\!61$$$$T^{8} +$$$$35\!\cdots\!29$$$$T^{9} +$$$$29\!\cdots\!79$$$$T^{10} +$$$$19\!\cdots\!77$$$$T^{11} +$$$$14\!\cdots\!61$$$$T^{12} +$$$$93\!\cdots\!98$$$$T^{13} +$$$$58\!\cdots\!79$$$$T^{14} +$$$$26\!\cdots\!48$$$$T^{15} +$$$$14\!\cdots\!00$$$$T^{16} +$$$$29\!\cdots\!54$$$$T^{17} +$$$$17\!\cdots\!59$$$$T^{18}$$)($$1 + 3516 T + 7739052 T^{2} + 12521998372 T^{3} + 16702919330445 T^{4} + 18997324436021472 T^{5} + 19048691387200057325 T^{6} +$$$$17\!\cdots\!41$$$$T^{7} +$$$$13\!\cdots\!89$$$$T^{8} +$$$$10\!\cdots\!65$$$$T^{9} +$$$$68\!\cdots\!71$$$$T^{10} +$$$$41\!\cdots\!61$$$$T^{11} +$$$$22\!\cdots\!75$$$$T^{12} +$$$$11\!\cdots\!52$$$$T^{13} +$$$$48\!\cdots\!55$$$$T^{14} +$$$$17\!\cdots\!92$$$$T^{15} +$$$$54\!\cdots\!08$$$$T^{16} +$$$$12\!\cdots\!96$$$$T^{17} +$$$$17\!\cdots\!59$$$$T^{18}$$)($$1 - 3516 T + 7739052 T^{2} - 12521998372 T^{3} + 16702919330445 T^{4} - 18997324436021472 T^{5} + 19048691387200057325 T^{6} -$$$$17\!\cdots\!41$$$$T^{7} +$$$$13\!\cdots\!89$$$$T^{8} -$$$$10\!\cdots\!65$$$$T^{9} +$$$$68\!\cdots\!71$$$$T^{10} -$$$$41\!\cdots\!61$$$$T^{11} +$$$$22\!\cdots\!75$$$$T^{12} -$$$$11\!\cdots\!52$$$$T^{13} +$$$$48\!\cdots\!55$$$$T^{14} -$$$$17\!\cdots\!92$$$$T^{15} +$$$$54\!\cdots\!08$$$$T^{16} -$$$$12\!\cdots\!96$$$$T^{17} +$$$$17\!\cdots\!59$$$$T^{18}$$)($$1 - 834 T + 2049900 T^{2} - 1810631268 T^{3} + 2005015409121 T^{4} - 1582663665291078 T^{5} + 1249600227069326319 T^{6} -$$$$80\!\cdots\!37$$$$T^{7} +$$$$60\!\cdots\!61$$$$T^{8} -$$$$35\!\cdots\!29$$$$T^{9} +$$$$29\!\cdots\!79$$$$T^{10} -$$$$19\!\cdots\!77$$$$T^{11} +$$$$14\!\cdots\!61$$$$T^{12} -$$$$93\!\cdots\!98$$$$T^{13} +$$$$58\!\cdots\!79$$$$T^{14} -$$$$26\!\cdots\!48$$$$T^{15} +$$$$14\!\cdots\!00$$$$T^{16} -$$$$29\!\cdots\!54$$$$T^{17} +$$$$17\!\cdots\!59$$$$T^{18}$$)($$1 - 16 T + 2829501 T^{2} - 333234968 T^{3} + 3715638921940 T^{4} - 832199997285192 T^{5} + 2961651257350570870 T^{6} -$$$$10\!\cdots\!52$$$$T^{7} +$$$$15\!\cdots\!70$$$$T^{8} -$$$$89\!\cdots\!08$$$$T^{9} +$$$$64\!\cdots\!69$$$$T^{10} -$$$$55\!\cdots\!16$$$$T^{11} +$$$$26\!\cdots\!14$$$$T^{12} -$$$$27\!\cdots\!24$$$$T^{13} +$$$$15\!\cdots\!49$$$$T^{14} -$$$$10\!\cdots\!52$$$$T^{15} +$$$$93\!\cdots\!70$$$$T^{16} -$$$$30\!\cdots\!48$$$$T^{17} +$$$$42\!\cdots\!70$$$$T^{18} -$$$$58\!\cdots\!68$$$$T^{19} +$$$$12\!\cdots\!40$$$$T^{20} -$$$$57\!\cdots\!12$$$$T^{21} +$$$$24\!\cdots\!01$$$$T^{22} -$$$$66\!\cdots\!24$$$$T^{23} +$$$$20\!\cdots\!21$$$$T^{24}$$)($$1 + 16 T + 2829501 T^{2} + 333234968 T^{3} + 3715638921940 T^{4} + 832199997285192 T^{5} + 2961651257350570870 T^{6} +$$$$10\!\cdots\!52$$$$T^{7} +$$$$15\!\cdots\!70$$$$T^{8} +$$$$89\!\cdots\!08$$$$T^{9} +$$$$64\!\cdots\!69$$$$T^{10} +$$$$55\!\cdots\!16$$$$T^{11} +$$$$26\!\cdots\!14$$$$T^{12} +$$$$27\!\cdots\!24$$$$T^{13} +$$$$15\!\cdots\!49$$$$T^{14} +$$$$10\!\cdots\!52$$$$T^{15} +$$$$93\!\cdots\!70$$$$T^{16} +$$$$30\!\cdots\!48$$$$T^{17} +$$$$42\!\cdots\!70$$$$T^{18} +$$$$58\!\cdots\!68$$$$T^{19} +$$$$12\!\cdots\!40$$$$T^{20} +$$$$57\!\cdots\!12$$$$T^{21} +$$$$24\!\cdots\!01$$$$T^{22} +$$$$66\!\cdots\!24$$$$T^{23} +$$$$20\!\cdots\!21$$$$T^{24}$$)
$83$ ($$1 - 276 T + 571787 T^{2}$$)($$1 + 56 T + 571787 T^{2}$$)($$1 + 696 T + 571787 T^{2}$$)($$1 + 276 T + 571787 T^{2}$$)($$1 + 56 T + 571787 T^{2}$$)($$1 + 696 T + 571787 T^{2}$$)($$1 - 940 T + 571787 T^{2}$$)($$1 + 492 T + 571787 T^{2}$$)($$1 + 492 T + 571787 T^{2}$$)($$1 + 74 T + 1088763 T^{2} + 42312238 T^{3} + 326940373369 T^{4}$$)($$1 + 1824 T + 1958038 T^{2} + 1042939488 T^{3} + 326940373369 T^{4}$$)($$1 - 1188 T + 1014838 T^{2} - 679282956 T^{3} + 326940373369 T^{4}$$)($$1 + 270 T + 733302 T^{2} + 154382490 T^{3} + 326940373369 T^{4}$$)($$1 + 552 T + 1158550 T^{2} + 315626424 T^{3} + 326940373369 T^{4}$$)($$1 + 270 T + 733302 T^{2} + 154382490 T^{3} + 326940373369 T^{4}$$)($$1 + 74 T + 1088763 T^{2} + 42312238 T^{3} + 326940373369 T^{4}$$)($$1 + 1824 T + 1958038 T^{2} + 1042939488 T^{3} + 326940373369 T^{4}$$)($$1 - 1492 T + 1463957 T^{2} - 1196823096 T^{3} + 837071581159 T^{4} - 487795037066548 T^{5} + 186940255267540403 T^{6}$$)($$1 + 2148 T + 2987025 T^{2} + 2667812568 T^{3} + 1707942063675 T^{4} + 702267921996612 T^{5} + 186940255267540403 T^{6}$$)($$1 - 2496 T + 3499089 T^{2} - 3226639296 T^{3} + 2000733602043 T^{4} - 816043171929024 T^{5} + 186940255267540403 T^{6}$$)($$1 - 2496 T + 3499089 T^{2} - 3226639296 T^{3} + 2000733602043 T^{4} - 816043171929024 T^{5} + 186940255267540403 T^{6}$$)($$1 - 1492 T + 1463957 T^{2} - 1196823096 T^{3} + 837071581159 T^{4} - 487795037066548 T^{5} + 186940255267540403 T^{6}$$)($$1 + 2148 T + 2987025 T^{2} + 2667812568 T^{3} + 1707942063675 T^{4} + 702267921996612 T^{5} + 186940255267540403 T^{6}$$)($$1 - 816 T + 1840135 T^{2} - 1075224160 T^{3} + 1456975445608 T^{4} - 614799196773920 T^{5} + 601614423949364815 T^{6} -$$$$15\!\cdots\!48$$$$T^{7} +$$$$10\!\cdots\!61$$$$T^{8}$$)($$1 - 403 T + 1628174 T^{2} - 560246968 T^{3} + 1325469311243 T^{4} - 320341933091816 T^{5} + 532315815469698206 T^{6} - 75336922872818782409 T^{7} +$$$$10\!\cdots\!61$$$$T^{8}$$)($$1 - 403 T + 1628174 T^{2} - 560246968 T^{3} + 1325469311243 T^{4} - 320341933091816 T^{5} + 532315815469698206 T^{6} - 75336922872818782409 T^{7} +$$$$10\!\cdots\!61$$$$T^{8}$$)($$1 - 816 T + 1840135 T^{2} - 1075224160 T^{3} + 1456975445608 T^{4} - 614799196773920 T^{5} + 601614423949364815 T^{6} -$$$$15\!\cdots\!48$$$$T^{7} +$$$$10\!\cdots\!61$$$$T^{8}$$)($$1 + 1830 T + 4321335 T^{2} + 5165339256 T^{3} + 6816092013285 T^{4} + 5843677611646650 T^{5} + 5341426610680929715 T^{6} +$$$$33\!\cdots\!50$$$$T^{7} +$$$$22\!\cdots\!65$$$$T^{8} +$$$$96\!\cdots\!68$$$$T^{9} +$$$$46\!\cdots\!35$$$$T^{10} +$$$$11\!\cdots\!10$$$$T^{11} +$$$$34\!\cdots\!09$$$$T^{12}$$)($$1 - 43 T + 770016 T^{2} - 474124404 T^{3} + 722031358026 T^{4} - 222769052492957 T^{5} + 544180246532405058 T^{6} -$$$$12\!\cdots\!59$$$$T^{7} +$$$$23\!\cdots\!94$$$$T^{8} -$$$$88\!\cdots\!12$$$$T^{9} +$$$$82\!\cdots\!76$$$$T^{10} -$$$$26\!\cdots\!01$$$$T^{11} +$$$$34\!\cdots\!09$$$$T^{12}$$)($$1 + 1440 T + 2532747 T^{2} + 2283940782 T^{3} + 2449584694797 T^{4} + 1809501841229328 T^{5} + 1596387699763458865 T^{6} +$$$$10\!\cdots\!36$$$$T^{7} +$$$$80\!\cdots\!93$$$$T^{8} +$$$$42\!\cdots\!46$$$$T^{9} +$$$$27\!\cdots\!67$$$$T^{10} +$$$$88\!\cdots\!80$$$$T^{11} +$$$$34\!\cdots\!09$$$$T^{12}$$)($$1 - 43 T + 770016 T^{2} - 474124404 T^{3} + 722031358026 T^{4} - 222769052492957 T^{5} + 544180246532405058 T^{6} -$$$$12\!\cdots\!59$$$$T^{7} +$$$$23\!\cdots\!94$$$$T^{8} -$$$$88\!\cdots\!12$$$$T^{9} +$$$$82\!\cdots\!76$$$$T^{10} -$$$$26\!\cdots\!01$$$$T^{11} +$$$$34\!\cdots\!09$$$$T^{12}$$)($$1 + 1440 T + 2532747 T^{2} + 2283940782 T^{3} + 2449584694797 T^{4} + 1809501841229328 T^{5} + 1596387699763458865 T^{6} +$$$$10\!\cdots\!36$$$$T^{7} +$$$$80\!\cdots\!93$$$$T^{8} +$$$$42\!\cdots\!46$$$$T^{9} +$$$$27\!\cdots\!67$$$$T^{10} +$$$$88\!\cdots\!80$$$$T^{11} +$$$$34\!\cdots\!09$$$$T^{12}$$)($$1 + 1830 T + 4321335 T^{2} + 5165339256 T^{3} + 6816092013285 T^{4} + 5843677611646650 T^{5} + 5341426610680929715 T^{6} +$$$$33\!\cdots\!50$$$$T^{7} +$$$$22\!\cdots\!65$$$$T^{8} +$$$$96\!\cdots\!68$$$$T^{9} +$$$$46\!\cdots\!35$$$$T^{10} +$$$$11\!\cdots\!10$$$$T^{11} +$$$$34\!\cdots\!09$$$$T^{12}$$)($$1 + 750 T + 2552138 T^{2} + 1246933320 T^{3} + 2934979008625 T^{4} + 1075057021935180 T^{5} + 2400388806886804658 T^{6} +$$$$78\!\cdots\!90$$$$T^{7} +$$$$15\!\cdots\!24$$$$T^{8} +$$$$44\!\cdots\!30$$$$T^{9} +$$$$78\!\cdots\!02$$$$T^{10} +$$$$20\!\cdots\!40$$$$T^{11} +$$$$31\!\cdots\!25$$$$T^{12} +$$$$76\!\cdots\!40$$$$T^{13} +$$$$89\!\cdots\!42$$$$T^{14} +$$$$14\!\cdots\!50$$$$T^{15} +$$$$11\!\cdots\!21$$$$T^{16}$$)($$1 + 750 T + 2552138 T^{2} + 1246933320 T^{3} + 2934979008625 T^{4} + 1075057021935180 T^{5} + 2400388806886804658 T^{6} +$$$$78\!\cdots\!90$$$$T^{7} +$$$$15\!\cdots\!24$$$$T^{8} +$$$$44\!\cdots\!30$$$$T^{9} +$$$$78\!\cdots\!02$$$$T^{10} +$$$$20\!\cdots\!40$$$$T^{11} +$$$$31\!\cdots\!25$$$$T^{12} +$$$$76\!\cdots\!40$$$$T^{13} +$$$$89\!\cdots\!42$$$$T^{14} +$$$$14\!\cdots\!50$$$$T^{15} +$$$$11\!\cdots\!21$$$$T^{16}$$)($$1 - 2490 T + 5134644 T^{2} - 6404415606 T^{3} + 6696232054641 T^{4} - 4293536363066562 T^{5} + 1560780443927857038 T^{6} +$$$$14\!\cdots\!68$$$$T^{7} -$$$$25\!\cdots\!36$$$$T^{8} +$$$$25\!\cdots\!44$$$$T^{9} -$$$$14\!\cdots\!32$$$$T^{10} +$$$$46\!\cdots\!92$$$$T^{11} +$$$$29\!\cdots\!14$$$$T^{12} -$$$$45\!\cdots\!82$$$$T^{13} +$$$$40\!\cdots\!87$$$$T^{14} -$$$$22\!\cdots\!54$$$$T^{15} +$$$$10\!\cdots\!52$$$$T^{16} -$$$$28\!\cdots\!90$$$$T^{17} +$$$$65\!\cdots\!27$$$$T^{18}$$)($$1 + 156 T + 2458212 T^{2} + 722896802 T^{3} + 3320214739029 T^{4} + 1122548672511900 T^{5} + 3177569929341451308 T^{6} +$$$$10\!\cdots\!00$$$$T^{7} +$$$$22\!\cdots\!38$$$$T^{8} +$$$$72\!\cdots\!28$$$$T^{9} +$$$$13\!\cdots\!06$$$$T^{10} +$$$$35\!\cdots\!00$$$$T^{11} +$$$$59\!\cdots\!24$$$$T^{12} +$$$$11\!\cdots\!00$$$$T^{13} +$$$$20\!\cdots\!03$$$$T^{14} +$$$$25\!\cdots\!18$$$$T^{15} +$$$$49\!\cdots\!96$$$$T^{16} +$$$$17\!\cdots\!76$$$$T^{17} +$$$$65\!\cdots\!27$$$$T^{18}$$)($$1 + 156 T + 2458212 T^{2} + 722896802 T^{3} + 3320214739029 T^{4} + 1122548672511900 T^{5} + 3177569929341451308 T^{6} +$$$$10\!\cdots\!00$$$$T^{7} +$$$$22\!\cdots\!38$$$$T^{8} +$$$$72\!\cdots\!28$$$$T^{9} +$$$$13\!\cdots\!06$$$$T^{10} +$$$$35\!\cdots\!00$$$$T^{11} +$$$$59\!\cdots\!24$$$$T^{12} +$$$$11\!\cdots\!00$$$$T^{13} +$$$$20\!\cdots\!03$$$$T^{14} +$$$$25\!\cdots\!18$$$$T^{15} +$$$$49\!\cdots\!96$$$$T^{16} +$$$$17\!\cdots\!76$$$$T^{17} +$$$$65\!\cdots\!27$$$$T^{18}$$)($$1 - 2490 T + 5134644 T^{2} - 6404415606 T^{3} + 6696232054641 T^{4} - 4293536363066562 T^{5} + 1560780443927857038 T^{6} +$$$$14\!\cdots\!68$$$$T^{7} -$$$$25\!\cdots\!36$$$$T^{8} +$$$$25\!\cdots\!44$$$$T^{9} -$$$$14\!\cdots\!32$$$$T^{10} +$$$$46\!\cdots\!92$$$$T^{11} +$$$$29\!\cdots\!14$$$$T^{12} -$$$$45\!\cdots\!82$$$$T^{13} +$$$$40\!\cdots\!87$$$$T^{14} -$$$$22\!\cdots\!54$$$$T^{15} +$$$$10\!\cdots\!52$$$$T^{16} -$$$$28\!\cdots\!90$$$$T^{17} +$$$$65\!\cdots\!27$$$$T^{18}$$)($$1 - 1258 T + 3675917 T^{2} - 3681625554 T^{3} + 6491327190576 T^{4} - 5577582031755770 T^{5} + 7626299833845573234 T^{6} -$$$$59\!\cdots\!20$$$$T^{7} +$$$$68\!\cdots\!50$$$$T^{8} -$$$$48\!\cdots\!06$$$$T^{9} +$$$$50\!\cdots\!01$$$$T^{10} -$$$$33\!\cdots\!44$$$$T^{11} +$$$$30\!\cdots\!22$$$$T^{12} -$$$$18\!\cdots\!28$$$$T^{13} +$$$$16\!\cdots\!69$$$$T^{14} -$$$$91\!\cdots\!18$$$$T^{15} +$$$$73\!\cdots\!50$$$$T^{16} -$$$$36\!\cdots\!40$$$$T^{17} +$$$$26\!\cdots\!06$$$$T^{18} -$$$$11\!\cdots\!10$$$$T^{19} +$$$$74\!\cdots\!96$$$$T^{20} -$$$$24\!\cdots\!58$$$$T^{21} +$$$$13\!\cdots\!33$$$$T^{22} -$$$$26\!\cdots\!54$$$$T^{23} +$$$$12\!\cdots\!81$$$$T^{24}$$)($$1 - 1258 T + 3675917 T^{2} - 3681625554 T^{3} + 6491327190576 T^{4} - 5577582031755770 T^{5} + 7626299833845573234 T^{6} -$$$$59\!\cdots\!20$$$$T^{7} +$$$$68\!\cdots\!50$$$$T^{8} -$$$$48\!\cdots\!06$$$$T^{9} +$$$$50\!\cdots\!01$$$$T^{10} -$$$$33\!\cdots\!44$$$$T^{11} +$$$$30\!\cdots\!22$$$$T^{12} -$$$$18\!\cdots\!28$$$$T^{13} +$$$$16\!\cdots\!69$$$$T^{14} -$$$$91\!\cdots\!18$$$$T^{15} +$$$$73\!\cdots\!50$$$$T^{16} -$$$$36\!\cdots\!40$$$$T^{17} +$$$$26\!\cdots\!06$$$$T^{18} -$$$$11\!\cdots\!10$$$$T^{19} +$$$$74\!\cdots\!96$$$$T^{20} -$$$$24\!\cdots\!58$$$$T^{21} +$$$$13\!\cdots\!33$$$$T^{22} -$$$$26\!\cdots\!54$$$$T^{23} +$$$$12\!\cdots\!81$$$$T^{24}$$)
$89$ ($$1 - 1302 T + 704969 T^{2}$$)($$1 - 308 T + 704969 T^{2}$$)($$1 + 612 T + 704969 T^{2}$$)($$1 + 1386 T + 704969 T^{2}$$)($$1 + 308 T + 704969 T^{2}$$)($$1 - 612 T + 704969 T^{2}$$)($$1 + 170 T + 704969 T^{2}$$)($$1 + 810 T + 704969 T^{2}$$)($$1 + 810 T + 704969 T^{2}$$)($$1 - 1180 T + 1585058 T^{2} - 831863420 T^{3} + 496981290961 T^{4}$$)($$1 + 60 T + 699358 T^{2} + 42298140 T^{3} + 496981290961 T^{4}$$)($$1 + 1776 T + 2197390 T^{2} + 1252024944 T^{3} + 496981290961 T^{4}$$)($$1 + 606 T + 1025674 T^{2} + 427211214 T^{3} + 496981290961 T^{4}$$)($$1 - 924 T + 1620934 T^{2} - 651391356 T^{3} + 496981290961 T^{4}$$)($$1 - 606 T + 1025674 T^{2} - 427211214 T^{3} + 496981290961 T^{4}$$)($$1 + 1180 T + 1585058 T^{2} + 831863420 T^{3} + 496981290961 T^{4}$$)($$1 - 60 T + 699358 T^{2} - 42298140 T^{3} + 496981290961 T^{4}$$)($$1 - 816 T + 716703 T^{2} - 198411216 T^{3} + 505253397207 T^{4} - 405536733424176 T^{5} + 350356403707485209 T^{6}$$)($$1 - 1116 T + 2360067 T^{2} - 1584528840 T^{3} + 1663774072923 T^{4} - 554631120712476 T^{5} + 350356403707485209 T^{6}$$)($$1 + 1584 T + 2188023 T^{2} + 1837823112 T^{3} + 1542488386287 T^{4} + 787218364882224 T^{5} + 350356403707485209 T^{6}$$)($$1 - 1584 T + 2188023 T^{2} - 1837823112 T^{3} + 1542488386287 T^{4} - 787218364882224 T^{5} + 350356403707485209 T^{6}$$)($$1 + 816 T + 716703 T^{2} + 198411216 T^{3} + 505253397207 T^{4} + 405536733424176 T^{5} + 350356403707485209 T^{6}$$)($$1 + 1116 T + 2360067 T^{2} + 1584528840 T^{3} + 1663774072923 T^{4} + 554631120712476 T^{5} + 350356403707485209 T^{6}$$)($$1 + 207 T + 1233811 T^{2} - 549357367 T^{3} + 658363679140 T^{4} - 387279913656623 T^{5} + 613180983581882371 T^{6} + 72523775567449438263 T^{7} +$$$$24\!\cdots\!21$$$$T^{8}$$)($$1 + 1598 T + 2708992 T^{2} + 2284789466 T^{3} + 2440635318174 T^{4} + 1610705745056554 T^{5} + 1346318341363021312 T^{6} +$$$$55\!\cdots\!82$$$$T^{7} +$$$$24\!\cdots\!21$$$$T^{8}$$)($$1 - 1598 T + 2708992 T^{2} - 2284789466 T^{3} + 2440635318174 T^{4} - 1610705745056554 T^{5} + 1346318341363021312 T^{6} -$$$$55\!\cdots\!82$$$$T^{7} +$$$$24\!\cdots\!21$$$$T^{8}$$)($$1 - 207 T + 1233811 T^{2} + 549357367 T^{3} + 658363679140 T^{4} + 387279913656623 T^{5} + 613180983581882371 T^{6} - 72523775567449438263 T^{7} +$$$$24\!\cdots\!21$$$$T^{8}$$)($$1 - 1233 T + 4192293 T^{2} - 3866096520 T^{3} + 7232640945936 T^{4} - 5143765633884342 T^{5} + 6741163626298491247 T^{6} -$$$$36\!\cdots\!98$$$$T^{7} +$$$$35\!\cdots\!96$$$$T^{8} -$$$$13\!\cdots\!80$$$$T^{9} +$$$$10\!\cdots\!53$$$$T^{10} -$$$$21\!\cdots\!17$$$$T^{11} +$$$$12\!\cdots\!81$$$$T^{12}$$)($$1 - 467 T + 2544243 T^{2} - 472929397 T^{3} + 2858269880039 T^{4} - 92410917514680 T^{5} + 2246636074893234538 T^{6} - 65146832109406444920 T^{7} +$$$$14\!\cdots\!79$$$$T^{8} -$$$$16\!\cdots\!73$$$$T^{9} +$$$$62\!\cdots\!03$$$$T^{10} -$$$$81\!\cdots\!83$$$$T^{11} +$$$$12\!\cdots\!81$$$$T^{12}$$)($$1 - 2991 T + 7403385 T^{2} - 12078446454 T^{3} + 16747979824212 T^{4} - 18141340214298126 T^{5} + 16955695043357506081 T^{6} -$$$$12\!\cdots\!94$$$$T^{7} +$$$$83\!\cdots\!32$$$$T^{8} -$$$$42\!\cdots\!86$$$$T^{9} +$$$$18\!\cdots\!85$$$$T^{10} -$$$$52\!\cdots\!59$$$$T^{11} +$$$$12\!\cdots\!81$$$$T^{12}$$)($$1 + 467 T + 2544243 T^{2} + 472929397 T^{3} + 2858269880039 T^{4} + 92410917514680 T^{5} + 2246636074893234538 T^{6} + 65146832109406444920 T^{7} +$$$$14\!\cdots\!79$$$$T^{8} +$$$$16\!\cdots\!73$$$$T^{9} +$$$$62\!\cdots\!03$$$$T^{10} +$$$$81\!\cdots\!83$$$$T^{11} +$$$$12\!\cdots\!81$$$$T^{12}$$)($$1 + 2991 T + 7403385 T^{2} + 12078446454 T^{3} + 16747979824212 T^{4} + 18141340214298126 T^{5} + 16955695043357506081 T^{6} +$$$$12\!\cdots\!94$$$$T^{7} +$$$$83\!\cdots\!32$$$$T^{8} +$$$$42\!\cdots\!86$$$$T^{9} +$$$$18\!\cdots\!85$$$$T^{10} +$$$$52\!\cdots\!59$$$$T^{11} +$$$$12\!\cdots\!81$$$$T^{12}$$)($$1 + 1233 T + 4192293 T^{2} + 3866096520 T^{3} + 7232640945936 T^{4} + 5143765633884342 T^{5} + 6741163626298491247 T^{6} +$$$$36\!\cdots\!98$$$$T^{7} +$$$$35\!\cdots\!96$$$$T^{8} +$$$$13\!\cdots\!80$$$$T^{9} +$$$$10\!\cdots\!53$$$$T^{10} +$$$$21\!\cdots\!17$$$$T^{11} +$$$$12\!\cdots\!81$$$$T^{12}$$)($$1 + 1304 T + 4079827 T^{2} + 4262958928 T^{3} + 7470387001867 T^{4} + 6583446435765080 T^{5} + 8512617602986711473 T^{6} +$$$$65\!\cdots\!16$$$$T^{7} +$$$$69\!\cdots\!20$$$$T^{8} +$$$$45\!\cdots\!04$$$$T^{9} +$$$$42\!\cdots\!53$$$$T^{10} +$$$$23\!\cdots\!20$$$$T^{11} +$$$$18\!\cdots\!07$$$$T^{12} +$$$$74\!\cdots\!72$$$$T^{13} +$$$$50\!\cdots\!87$$$$T^{14} +$$$$11\!\cdots\!56$$$$T^{15} +$$$$61\!\cdots\!41$$$$T^{16}$$)($$1 - 1304 T + 4079827 T^{2} - 4262958928 T^{3} + 7470387001867 T^{4} - 6583446435765080 T^{5} + 8512617602986711473 T^{6} -$$$$65\!\cdots\!16$$$$T^{7} +$$$$69\!\cdots\!20$$$$T^{8} -$$$$45\!\cdots\!04$$$$T^{9} +$$$$42\!\cdots\!53$$$$T^{10} -$$$$23\!\cdots\!20$$$$T^{11} +$$$$18\!\cdots\!07$$$$T^{12} -$$$$74\!\cdots\!72$$$$T^{13} +$$$$50\!\cdots\!87$$$$T^{14} -$$$$11\!\cdots\!56$$$$T^{15} +$$$$61\!\cdots\!41$$$$T^{16}$$)($$1 - 507 T + 3147768 T^{2} - 1398767229 T^{3} + 5408910067716 T^{4} - 2289379061527725 T^{5} + 6619444858985707563 T^{6} -$$$$25\!\cdots\!95$$$$T^{7} +$$$$60\!\cdots\!28$$$$T^{8} -$$$$20\!\cdots\!56$$$$T^{9} +$$$$42\!\cdots\!32$$$$T^{10} -$$$$12\!\cdots\!95$$$$T^{11} +$$$$23\!\cdots\!67$$$$T^{12} -$$$$56\!\cdots\!25$$$$T^{13} +$$$$94\!\cdots\!84$$$$T^{14} -$$$$17\!\cdots\!49$$$$T^{15} +$$$$27\!\cdots\!52$$$$T^{16} -$$$$30\!\cdots\!87$$$$T^{17} +$$$$43\!\cdots\!29$$$$T^{18}$$)($$1 + 1959 T + 3221928 T^{2} + 4567216579 T^{3} + 6044324785848 T^{4} + 6235270125792975 T^{5} + 6403120604138241789 T^{6} +$$$$61\!\cdots\!57$$$$T^{7} +$$$$55\!\cdots\!46$$$$T^{8} +$$$$45\!\cdots\!48$$$$T^{9} +$$$$39\!\cdots\!74$$$$T^{10} +$$$$30\!\cdots\!77$$$$T^{11} +$$$$22\!\cdots\!01$$$$T^{12} +$$$$15\!\cdots\!75$$$$T^{13} +$$$$10\!\cdots\!52$$$$T^{14} +$$$$56\!\cdots\!99$$$$T^{15} +$$$$27\!\cdots\!92$$$$T^{16} +$$$$11\!\cdots\!19$$$$T^{17} +$$$$43\!\cdots\!29$$$$T^{18}$$)($$1 - 1959 T + 3221928 T^{2} - 4567216579 T^{3} + 6044324785848 T^{4} - 6235270125792975 T^{5} + 6403120604138241789 T^{6} -$$$$61\!\cdots\!57$$$$T^{7} +$$$$55\!\cdots\!46$$$$T^{8} -$$$$45\!\cdots\!48$$$$T^{9} +$$$$39\!\cdots\!74$$$$T^{10} -$$$$30\!\cdots\!77$$$$T^{11} +$$$$22\!\cdots\!01$$$$T^{12} -$$$$15\!\cdots\!75$$$$T^{13} +$$$$10\!\cdots\!52$$$$T^{14} -$$$$56\!\cdots\!99$$$$T^{15} +$$$$27\!\cdots\!92$$$$T^{16} -$$$$11\!\cdots\!19$$$$T^{17} +$$$$43\!\cdots\!29$$$$T^{18}$$)($$1 + 507 T + 3147768 T^{2} + 1398767229 T^{3} + 5408910067716 T^{4} + 2289379061527725 T^{5} + 6619444858985707563 T^{6} +$$$$25\!\cdots\!95$$$$T^{7} +$$$$60\!\cdots\!28$$$$T^{8} +$$$$20\!\cdots\!56$$$$T^{9} +$$$$42\!\cdots\!32$$$$T^{10} +$$$$12\!\cdots\!95$$$$T^{11} +$$$$23\!\cdots\!67$$$$T^{12} +$$$$56\!\cdots\!25$$$$T^{13} +$$$$94\!\cdots\!84$$$$T^{14} +$$$$17\!\cdots\!49$$$$T^{15} +$$$$27\!\cdots\!52$$$$T^{16} +$$$$30\!\cdots\!87$$$$T^{17} +$$$$43\!\cdots\!29$$$$T^{18}$$)($$1 + 4776 T + 14129883 T^{2} + 31347008336 T^{3} + 57562601115961 T^{4} + 91107452471494504 T^{5} +$$$$12\!\cdots\!63$$$$T^{6} +$$$$16\!\cdots\!84$$$$T^{7} +$$$$19\!\cdots\!31$$$$T^{8} +$$$$20\!\cdots\!56$$$$T^{9} +$$$$20\!\cdots\!74$$$$T^{10} +$$$$18\!\cdots\!56$$$$T^{11} +$$$$16\!\cdots\!90$$$$T^{12} +$$$$13\!\cdots\!64$$$$T^{13} +$$$$10\!\cdots\!14$$$$T^{14} +$$$$71\!\cdots\!04$$$$T^{15} +$$$$46\!\cdots\!51$$$$T^{16} +$$$$28\!\cdots\!16$$$$T^{17} +$$$$15\!\cdots\!03$$$$T^{18} +$$$$78\!\cdots\!56$$$$T^{19} +$$$$35\!\cdots\!01$$$$T^{20} +$$$$13\!\cdots\!44$$$$T^{21} +$$$$42\!\cdots\!83$$$$T^{22} +$$$$10\!\cdots\!44$$$$T^{23} +$$$$15\!\cdots\!61$$$$T^{24}$$)($$1 - 4776 T + 14129883 T^{2} - 31347008336 T^{3} + 57562601115961 T^{4} - 91107452471494504 T^{5} +$$$$12\!\cdots\!63$$$$T^{6} -$$$$16\!\cdots\!84$$$$T^{7} +$$$$19\!\cdots\!31$$$$T^{8} -$$$$20\!\cdots\!56$$$$T^{9} +$$$$20\!\cdots\!74$$$$T^{10} -$$$$18\!\cdots\!56$$$$T^{11} +$$$$16\!\cdots\!90$$$$T^{12} -$$$$13\!\cdots\!64$$$$T^{13} +$$$$10\!\cdots\!14$$$$T^{14} -$$$$71\!\cdots\!04$$$$T^{15} +$$$$46\!\cdots\!51$$$$T^{16} -$$$$28\!\cdots\!16$$$$T^{17} +$$$$15\!\cdots\!03$$$$T^{18} -$$$$78\!\cdots\!56$$$$T^{19} +$$$$35\!\cdots\!01$$$$T^{20} -$$$$13\!\cdots\!44$$$$T^{21} +$$$$42\!\cdots\!83$$$$T^{22} -$$$$10\!\cdots\!44$$$$T^{23} +$$$$15\!\cdots\!61$$$$T^{24}$$)
$97$ ($$1 - 1310 T + 912673 T^{2}$$)($$1 + 1150 T + 912673 T^{2}$$)($$1 + 1550 T + 912673 T^{2}$$)($$1 + 130 T + 912673 T^{2}$$)($$1 - 1150 T + 912673 T^{2}$$)($$1 - 1550 T + 912673 T^{2}$$)($$1 + 206 T + 912673 T^{2}$$)($$1 - 1046 T + 912673 T^{2}$$)($$1 + 1154 T + 912673 T^{2}$$)($$1 - 1938 T + 2745702 T^{2} - 1768760274 T^{3} + 832972004929 T^{4}$$)($$1 + 1604 T + 2007270 T^{2} + 1463927492 T^{3} + 832972004929 T^{4}$$)($$1 + 1772 T + 2605974 T^{2} + 1617256556 T^{3} + 832972004929 T^{4}$$)($$1 - 612 T + 1366850 T^{2} - 558555876 T^{3} + 832972004929 T^{4}$$)($$1 + 40 T - 162642 T^{2} + 36506920 T^{3} + 832972004929 T^{4}$$)($$1 + 612 T + 1366850 T^{2} + 558555876 T^{3} + 832972004929 T^{4}$$)($$1 + 1938 T + 2745702 T^{2} + 1768760274 T^{3} + 832972004929 T^{4}$$)($$1 - 1604 T + 2007270 T^{2} - 1463927492 T^{3} + 832972004929 T^{4}$$)($$1 - 4008 T + 8047155 T^{2} - 9636058320 T^{3} + 7344421095315 T^{4} - 3338551795755432 T^{5} + 760231058654565217 T^{6}$$)($$1 - 1382 T + 3339119 T^{2} - 2601906260 T^{3} + 3047523755087 T^{4} - 1151167310811878 T^{5} + 760231058654565217 T^{6}$$)($$1 + 974 T + 3028319 T^{2} + 1802087204 T^{3} + 2763864986687 T^{4} + 811314732800846 T^{5} + 760231058654565217 T^{6}$$)($$1 - 974 T + 3028319 T^{2} - 1802087204 T^{3} + 2763864986687 T^{4} - 811314732800846 T^{5} + 760231058654565217 T^{6}$$)($$1 + 4008 T + 8047155 T^{2} + 9636058320 T^{3} + 7344421095315 T^{4} + 3338551795755432 T^{5} + 760231058654565217 T^{6}$$)($$1 + 1382 T + 3339119 T^{2} + 2601906260 T^{3} + 3047523755087 T^{4} + 1151167310811878 T^{5} + 760231058654565217 T^{6}$$)($$1 - 1331 T + 3634837 T^{2} - 3327461687 T^{3} + 4905912459308 T^{4} - 3036884440259351 T^{5} + 3027717463480111573 T^{6} -$$$$10\!\cdots\!27$$$$T^{7} +$$$$69\!\cdots\!41$$$$T^{8}$$)($$1 + 1158 T + 3648348 T^{2} + 3015666042 T^{3} + 5008190082950 T^{4} + 2752316973550266 T^{5} + 3038971748238707292 T^{6} +$$$$88\!\cdots\!86$$$$T^{7} +$$$$69\!\cdots\!41$$$$T^{8}$$)($$1 - 1158 T + 3648348 T^{2} - 3015666042 T^{3} + 5008190082950 T^{4} - 2752316973550266 T^{5} + 3038971748238707292 T^{6} -$$$$88\!\cdots\!86$$$$T^{7} +$$$$69\!\cdots\!41$$$$T^{8}$$)($$1 + 1331 T + 3634837 T^{2} + 3327461687 T^{3} + 4905912459308 T^{4} + 3036884440259351 T^{5} + 3027717463480111573 T^{6} +$$$$10\!\cdots\!27$$$$T^{7} +$$$$69\!\cdots\!41$$$$T^{8}$$)($$1 + 2586 T + 6245610 T^{2} + 10611087378 T^{3} + 15140638450848 T^{4} + 18387097209091608 T^{5} + 18748159640759213671 T^{6} +$$$$16\!\cdots\!84$$$$T^{7} +$$$$12\!\cdots\!92$$$$T^{8} +$$$$80\!\cdots\!26$$$$T^{9} +$$$$43\!\cdots\!10$$$$T^{10} +$$$$16\!\cdots\!98$$$$T^{11} +$$$$57\!\cdots\!89$$$$T^{12}$$)($$1 - 275 T + 4779467 T^{2} - 1165582105 T^{3} + 10066140646427 T^{4} - 2057096921066580 T^{5} + 11928902386750711090 T^{6} -$$$$18\!\cdots\!40$$$$T^{7} +$$$$83\!\cdots\!83$$$$T^{8} -$$$$88\!\cdots\!85$$$$T^{9} +$$$$33\!\cdots\!47$$$$T^{10} -$$$$17\!\cdots\!75$$$$T^{11} +$$$$57\!\cdots\!89$$$$T^{12}$$)($$1 - 2802 T + 7030986 T^{2} - 12143160330 T^{3} + 18083055601704 T^{4} - 21600129980153040 T^{5} + 22815515623035822943 T^{6} -$$$$19\!\cdots\!20$$$$T^{7} +$$$$15\!\cdots\!16$$$$T^{8} -$$$$92\!\cdots\!10$$$$T^{9} +$$$$48\!\cdots\!26$$$$T^{10} -$$$$17\!\cdots\!86$$$$T^{11} +$$$$57\!\cdots\!89$$$$T^{12}$$)($$1 + 275 T + 4779467 T^{2} + 1165582105 T^{3} + 10066140646427 T^{4} + 2057096921066580 T^{5} + 11928902386750711090 T^{6} +$$$$18\!\cdots\!40$$$$T^{7} +$$$$83\!\cdots\!83$$$$T^{8} +$$$$88\!\cdots\!85$$$$T^{9} +$$$$33\!\cdots\!47$$$$T^{10} +$$$$17\!\cdots\!75$$$$T^{11} +$$$$57\!\cdots\!89$$$$T^{12}$$)($$1 + 2802 T + 7030986 T^{2} + 12143160330 T^{3} + 18083055601704 T^{4} + 21600129980153040 T^{5} + 22815515623035822943 T^{6} +$$$$19\!\cdots\!20$$$$T^{7} +$$$$15\!\cdots\!16$$$$T^{8} +$$$$92\!\cdots\!10$$$$T^{9} +$$$$48\!\cdots\!26$$$$T^{10} +$$$$17\!\cdots\!86$$$$T^{11} +$$$$57\!\cdots\!89$$$$T^{12}$$)($$1 - 2586 T + 6245610 T^{2} - 10611087378 T^{3} + 15140638450848 T^{4} - 18387097209091608 T^{5} + 18748159640759213671 T^{6} -$$$$16\!\cdots\!84$$$$T^{7} +$$$$12\!\cdots\!92$$$$T^{8} -$$$$80\!\cdots\!26$$$$T^{9} +$$$$43\!\cdots\!10$$$$T^{10} -$$$$16\!\cdots\!98$$$$T^{11} +$$$$57\!\cdots\!89$$$$T^{12}$$)($$1 - 1248 T + 5913439 T^{2} - 6301283376 T^{3} + 16074607579751 T^{4} - 14647515456405144 T^{5} + 26497368495602246345 T^{6} -$$$$20\!\cdots\!20$$$$T^{7} +$$$$29\!\cdots\!12$$$$T^{8} -$$$$18\!\cdots\!60$$$$T^{9} +$$$$22\!\cdots\!05$$$$T^{10} -$$$$11\!\cdots\!48$$$$T^{11} +$$$$11\!\cdots\!91$$$$T^{12} -$$$$39\!\cdots\!68$$$$T^{13} +$$$$34\!\cdots\!71$$$$T^{14} -$$$$65\!\cdots\!56$$$$T^{15} +$$$$48\!\cdots\!81$$$$T^{16}$$)($$1 + 1248 T + 5913439 T^{2} + 6301283376 T^{3} + 16074607579751 T^{4} + 14647515456405144 T^{5} + 26497368495602246345 T^{6} +$$$$20\!\cdots\!20$$$$T^{7} +$$$$29\!\cdots\!12$$$$T^{8} +$$$$18\!\cdots\!60$$$$T^{9} +$$$$22\!\cdots\!05$$$$T^{10} +$$$$11\!\cdots\!48$$$$T^{11} +$$$$11\!\cdots\!91$$$$T^{12} +$$$$39\!\cdots\!68$$$$T^{13} +$$$$34\!\cdots\!71$$$$T^{14} +$$$$65\!\cdots\!56$$$$T^{15} +$$$$48\!\cdots\!81$$$$T^{16}$$)($$1 + 2529 T + 4040346 T^{2} + 3742785919 T^{3} + 2877033361002 T^{4} + 2075197496361393 T^{5} + 1926265228572453236 T^{6} +$$$$14\!\cdots\!53$$$$T^{7} +$$$$80\!\cdots\!02$$$$T^{8} +$$$$46\!\cdots\!93$$$$T^{9} +$$$$73\!\cdots\!46$$$$T^{10} +$$$$12\!\cdots\!37$$$$T^{11} +$$$$14\!\cdots\!12$$$$T^{12} +$$$$14\!\cdots\!13$$$$T^{13} +$$$$18\!\cdots\!86$$$$T^{14} +$$$$21\!\cdots\!91$$$$T^{15} +$$$$21\!\cdots\!62$$$$T^{16} +$$$$12\!\cdots\!49$$$$T^{17} +$$$$43\!\cdots\!13$$$$T^{18}$$)($$1 - 2457 T + 6362946 T^{2} - 8780988455 T^{3} + 13716640456146 T^{4} - 13829501416973553 T^{5} + 17562106183107485252 T^{6} -$$$$14\!\cdots\!97$$$$T^{7} +$$$$17\!\cdots\!98$$$$T^{8} -$$$$13\!\cdots\!73$$$$T^{9} +$$$$16\!\cdots\!54$$$$T^{10} -$$$$12\!\cdots\!13$$$$T^{11} +$$$$13\!\cdots\!84$$$$T^{12} -$$$$95\!\cdots\!73$$$$T^{13} +$$$$86\!\cdots\!78$$$$T^{14} -$$$$50\!\cdots\!95$$$$T^{15} +$$$$33\!\cdots\!62$$$$T^{16} -$$$$11\!\cdots\!17$$$$T^{17} +$$$$43\!\cdots\!13$$$$T^{18}$$)($$1 + 2457 T + 6362946 T^{2} + 8780988455 T^{3} + 13716640456146 T^{4} + 13829501416973553 T^{5} + 17562106183107485252 T^{6} +$$$$14\!\cdots\!97$$$$T^{7} +$$$$17\!\cdots\!98$$$$T^{8} +$$$$13\!\cdots\!73$$$$T^{9} +$$$$16\!\cdots\!54$$$$T^{10} +$$$$12\!\cdots\!13$$$$T^{11} +$$$$13\!\cdots\!84$$$$T^{12} +$$$$95\!\cdots\!73$$$$T^{13} +$$$$86\!\cdots\!78$$$$T^{14} +$$$$50\!\cdots\!95$$$$T^{15} +$$$$33\!\cdots\!62$$$$T^{16} +$$$$11\!\cdots\!17$$$$T^{17} +$$$$43\!\cdots\!13$$$$T^{18}$$)($$1 - 2529 T + 4040346 T^{2} - 3742785919 T^{3} + 2877033361002 T^{4} - 2075197496361393 T^{5} + 1926265228572453236 T^{6} -$$$$14\!\cdots\!53$$$$T^{7} +$$$$80\!\cdots\!02$$$$T^{8} -$$$$46\!\cdots\!93$$$$T^{9} +$$$$73\!\cdots\!46$$$$T^{10} -$$$$12\!\cdots\!37$$$$T^{11} +$$$$14\!\cdots\!12$$$$T^{12} -$$$$14\!\cdots\!13$$$$T^{13} +$$$$18\!\cdots\!86$$$$T^{14} -$$$$21\!\cdots\!91$$$$T^{15} +$$$$21\!\cdots\!62$$$$T^{16} -$$$$12\!\cdots\!49$$$$T^{17} +$$$$43\!\cdots\!13$$$$T^{18}$$)($$1 + 4088 T + 13657859 T^{2} + 32825333792 T^{3} + 69325583551001 T^{4} + 124061379938812912 T^{5} +$$$$20\!\cdots\!15$$$$T^{6} +$$$$29\!\cdots\!12$$$$T^{7} +$$$$39\!\cdots\!07$$$$T^{8} +$$$$48\!\cdots\!04$$$$T^{9} +$$$$55\!\cdots\!14$$$$T^{10} +$$$$58\!\cdots\!28$$$$T^{11} +$$$$58\!\cdots\!38$$$$T^{12} +$$$$53\!\cdots\!44$$$$T^{13} +$$$$46\!\cdots\!06$$$$T^{14} +$$$$36\!\cdots\!68$$$$T^{15} +$$$$27\!\cdots\!87$$$$T^{16} +$$$$18\!\cdots\!16$$$$T^{17} +$$$$11\!\cdots\!35$$$$T^{18} +$$$$65\!\cdots\!64$$$$T^{19} +$$$$33\!\cdots\!81$$$$T^{20} +$$$$14\!\cdots\!96$$$$T^{21} +$$$$54\!\cdots\!91$$$$T^{22} +$$$$14\!\cdots\!76$$$$T^{23} +$$$$33\!\cdots\!21$$$$T^{24}$$)($$1 - 4088 T + 13657859 T^{2} - 32825333792 T^{3} + 69325583551001 T^{4} - 124061379938812912 T^{5} +$$$$20\!\cdots\!15$$$$T^{6} -$$$$29\!\cdots\!12$$$$T^{7} +$$$$39\!\cdots\!07$$$$T^{8} -$$$$48\!\cdots\!04$$$$T^{9} +$$$$55\!\cdots\!14$$$$T^{10} -$$$$58\!\cdots\!28$$$$T^{11} +$$$$58\!\cdots\!38$$$$T^{12} -$$$$53\!\cdots\!44$$$$T^{13} +$$$$46\!\cdots\!06$$$$T^{14} -$$$$36\!\cdots\!68$$$$T^{15} +$$$$27\!\cdots\!87$$$$T^{16} -$$$$18\!\cdots\!16$$$$T^{17} +$$$$11\!\cdots\!35$$$$T^{18} -$$$$65\!\cdots\!64$$$$T^{19} +$$$$33\!\cdots\!81$$$$T^{20} -$$$$14\!\cdots\!96$$$$T^{21} +$$$$54\!\cdots\!91$$$$T^{22} -$$$$14\!\cdots\!76$$$$T^{23} +$$$$33\!\cdots\!21$$$$T^{24}$$)