# Properties

 Label 2352.4 Level 2352 Weight 4 Dimension 182381 Nonzero newspaces 32 Sturm bound 1204224 Trace bound 9

## Defining parameters

 Level: $$N$$ = $$2352 = 2^{4} \cdot 3 \cdot 7^{2}$$ Weight: $$k$$ = $$4$$ Nonzero newspaces: $$32$$ Sturm bound: $$1204224$$ Trace bound: $$9$$

## Dimensions

The following table gives the dimensions of various subspaces of $$M_{4}(\Gamma_1(2352))$$.

Total New Old
Modular forms 454944 183253 271691
Cusp forms 448224 182381 265843
Eisenstein series 6720 872 5848

## Trace form

 $$182381q - 50q^{3} - 144q^{4} + 2q^{5} - 32q^{6} - 108q^{7} + 84q^{8} + 42q^{9} + O(q^{10})$$ $$182381q - 50q^{3} - 144q^{4} + 2q^{5} - 32q^{6} - 108q^{7} + 84q^{8} + 42q^{9} + 8q^{10} - 60q^{11} - 164q^{12} - 176q^{13} + 69q^{15} - 424q^{16} - 26q^{17} - 44q^{18} - 1138q^{19} + 80q^{20} - 270q^{21} + 448q^{22} + 256q^{23} + 48q^{24} + 1765q^{25} - 20q^{26} + 124q^{27} - 144q^{28} + 1258q^{29} - 800q^{30} + 630q^{31} - 960q^{32} + 281q^{33} - 304q^{34} - 1044q^{35} - 604q^{36} - 2060q^{37} + 1256q^{38} - 181q^{39} + 2256q^{40} + 414q^{41} + 2520q^{42} + 2662q^{43} + 14584q^{44} + 3819q^{45} + 7512q^{46} + 648q^{47} + 852q^{48} - 1572q^{49} - 7692q^{50} - 2727q^{51} - 17368q^{52} - 8174q^{53} - 16168q^{54} - 4062q^{55} - 9240q^{56} - 7923q^{57} - 15072q^{58} - 4756q^{59} - 12244q^{60} - 5636q^{61} - 6612q^{62} - 24q^{63} + 3384q^{64} + 7068q^{65} + 11104q^{66} + 782q^{67} + 22672q^{68} + 14011q^{69} + 14736q^{70} + 3152q^{71} + 7912q^{72} - 4852q^{73} - 2740q^{74} + 998q^{75} - 2568q^{76} - 3348q^{78} + 5942q^{79} + 712q^{80} - 7162q^{81} + 608q^{82} + 5868q^{83} - 72q^{84} + 4902q^{85} - 1712q^{86} - 5061q^{87} + 4808q^{88} - 66q^{89} + 3260q^{90} + 10182q^{91} - 7616q^{92} + 3109q^{93} - 45392q^{94} + 47024q^{95} - 20132q^{96} - 902q^{97} - 11928q^{98} + 17216q^{99} + O(q^{100})$$

## Decomposition of $$S_{4}^{\mathrm{new}}(\Gamma_1(2352))$$

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
2352.4.a $$\chi_{2352}(1, \cdot)$$ 2352.4.a.a 1 1
2352.4.a.b 1
2352.4.a.c 1
2352.4.a.d 1
2352.4.a.e 1
2352.4.a.f 1
2352.4.a.g 1
2352.4.a.h 1
2352.4.a.i 1
2352.4.a.j 1
2352.4.a.k 1
2352.4.a.l 1
2352.4.a.m 1
2352.4.a.n 1
2352.4.a.o 1
2352.4.a.p 1
2352.4.a.q 1
2352.4.a.r 1
2352.4.a.s 1
2352.4.a.t 1
2352.4.a.u 1
2352.4.a.v 1
2352.4.a.w 1
2352.4.a.x 1
2352.4.a.y 1
2352.4.a.z 1
2352.4.a.ba 1
2352.4.a.bb 1
2352.4.a.bc 1
2352.4.a.bd 1
2352.4.a.be 1
2352.4.a.bf 1
2352.4.a.bg 1
2352.4.a.bh 1
2352.4.a.bi 1
2352.4.a.bj 1
2352.4.a.bk 1
2352.4.a.bl 2
2352.4.a.bm 2
2352.4.a.bn 2
2352.4.a.bo 2
2352.4.a.bp 2
2352.4.a.bq 2
2352.4.a.br 2
2352.4.a.bs 2
2352.4.a.bt 2
2352.4.a.bu 2
2352.4.a.bv 2
2352.4.a.bw 2
2352.4.a.bx 2
2352.4.a.by 2
2352.4.a.bz 2
2352.4.a.ca 2
2352.4.a.cb 2
2352.4.a.cc 2
2352.4.a.cd 2
2352.4.a.ce 2
2352.4.a.cf 2
2352.4.a.cg 3
2352.4.a.ch 3
2352.4.a.ci 3
2352.4.a.cj 3
2352.4.a.ck 4
2352.4.a.cl 4
2352.4.a.cm 4
2352.4.a.cn 4
2352.4.a.co 4
2352.4.a.cp 4
2352.4.a.cq 4
2352.4.a.cr 4
2352.4.b $$\chi_{2352}(1567, \cdot)$$ n/a 120 1
2352.4.c $$\chi_{2352}(1177, \cdot)$$ None 0 1
2352.4.h $$\chi_{2352}(2255, \cdot)$$ n/a 246 1
2352.4.i $$\chi_{2352}(2057, \cdot)$$ None 0 1
2352.4.j $$\chi_{2352}(1079, \cdot)$$ None 0 1
2352.4.k $$\chi_{2352}(881, \cdot)$$ n/a 236 1
2352.4.p $$\chi_{2352}(391, \cdot)$$ None 0 1
2352.4.q $$\chi_{2352}(961, \cdot)$$ n/a 240 2
2352.4.s $$\chi_{2352}(491, \cdot)$$ n/a 1948 2
2352.4.u $$\chi_{2352}(979, \cdot)$$ n/a 960 2
2352.4.w $$\chi_{2352}(589, \cdot)$$ n/a 984 2
2352.4.y $$\chi_{2352}(293, \cdot)$$ n/a 1904 2
2352.4.bb $$\chi_{2352}(1207, \cdot)$$ None 0 2
2352.4.bc $$\chi_{2352}(1697, \cdot)$$ n/a 472 2
2352.4.bd $$\chi_{2352}(263, \cdot)$$ None 0 2
2352.4.bi $$\chi_{2352}(521, \cdot)$$ None 0 2
2352.4.bj $$\chi_{2352}(863, \cdot)$$ n/a 480 2
2352.4.bk $$\chi_{2352}(361, \cdot)$$ None 0 2
2352.4.bl $$\chi_{2352}(31, \cdot)$$ n/a 240 2
2352.4.bo $$\chi_{2352}(337, \cdot)$$ n/a 1008 6
2352.4.bp $$\chi_{2352}(509, \cdot)$$ n/a 3808 4
2352.4.br $$\chi_{2352}(373, \cdot)$$ n/a 1920 4
2352.4.bt $$\chi_{2352}(19, \cdot)$$ n/a 1920 4
2352.4.bv $$\chi_{2352}(275, \cdot)$$ n/a 3808 4
2352.4.bx $$\chi_{2352}(55, \cdot)$$ None 0 6
2352.4.cc $$\chi_{2352}(209, \cdot)$$ n/a 2004 6
2352.4.cd $$\chi_{2352}(71, \cdot)$$ None 0 6
2352.4.ce $$\chi_{2352}(41, \cdot)$$ None 0 6
2352.4.cf $$\chi_{2352}(239, \cdot)$$ n/a 2016 6
2352.4.ck $$\chi_{2352}(169, \cdot)$$ None 0 6
2352.4.cl $$\chi_{2352}(223, \cdot)$$ n/a 1008 6
2352.4.cm $$\chi_{2352}(193, \cdot)$$ n/a 2016 12
2352.4.cn $$\chi_{2352}(125, \cdot)$$ n/a 16080 12
2352.4.cp $$\chi_{2352}(85, \cdot)$$ n/a 8064 12
2352.4.cr $$\chi_{2352}(139, \cdot)$$ n/a 8064 12
2352.4.ct $$\chi_{2352}(155, \cdot)$$ n/a 16080 12
2352.4.cx $$\chi_{2352}(271, \cdot)$$ n/a 2016 12
2352.4.cy $$\chi_{2352}(25, \cdot)$$ None 0 12
2352.4.cz $$\chi_{2352}(95, \cdot)$$ n/a 4032 12
2352.4.da $$\chi_{2352}(89, \cdot)$$ None 0 12
2352.4.df $$\chi_{2352}(23, \cdot)$$ None 0 12
2352.4.dg $$\chi_{2352}(17, \cdot)$$ n/a 4008 12
2352.4.dh $$\chi_{2352}(103, \cdot)$$ None 0 12
2352.4.dl $$\chi_{2352}(11, \cdot)$$ n/a 32160 24
2352.4.dn $$\chi_{2352}(115, \cdot)$$ n/a 16128 24
2352.4.dp $$\chi_{2352}(37, \cdot)$$ n/a 16128 24
2352.4.dr $$\chi_{2352}(5, \cdot)$$ n/a 32160 24

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

## Decomposition of $$S_{4}^{\mathrm{old}}(\Gamma_1(2352))$$ into lower level spaces

$$S_{4}^{\mathrm{old}}(\Gamma_1(2352)) \cong$$ $$S_{4}^{\mathrm{new}}(\Gamma_1(6))$$$$^{\oplus 12}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(7))$$$$^{\oplus 20}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(8))$$$$^{\oplus 12}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(12))$$$$^{\oplus 9}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(14))$$$$^{\oplus 16}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(16))$$$$^{\oplus 6}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(21))$$$$^{\oplus 10}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(24))$$$$^{\oplus 6}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(28))$$$$^{\oplus 12}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(42))$$$$^{\oplus 8}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(48))$$$$^{\oplus 3}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(49))$$$$^{\oplus 10}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(56))$$$$^{\oplus 8}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(84))$$$$^{\oplus 6}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(98))$$$$^{\oplus 8}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(112))$$$$^{\oplus 4}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(147))$$$$^{\oplus 5}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(168))$$$$^{\oplus 4}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(196))$$$$^{\oplus 6}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(294))$$$$^{\oplus 4}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(336))$$$$^{\oplus 2}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(392))$$$$^{\oplus 4}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(588))$$$$^{\oplus 3}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(784))$$$$^{\oplus 2}$$$$\oplus$$$$S_{4}^{\mathrm{new}}(\Gamma_1(1176))$$$$^{\oplus 2}$$

## Hecke characteristic polynomials

$p$ $F_p(T)$
$2$ 1
$3$ ($$1 + 3 T$$)($$1 + 3 T$$)($$1 + 3 T$$)($$1 + 3 T$$)($$1 + 3 T$$)($$1 + 3 T$$)($$1 + 3 T$$)($$1 + 3 T$$)($$1 + 3 T$$)($$1 + 3 T$$)($$1 + 3 T$$)($$1 + 3 T$$)($$1 + 3 T$$)($$1 + 3 T$$)($$1 + 3 T$$)($$1 + 3 T$$)($$1 + 3 T$$)($$1 + 3 T$$)($$1 + 3 T$$)($$1 - 3 T$$)($$1 - 3 T$$)($$1 - 3 T$$)($$1 - 3 T$$)($$1 - 3 T$$)($$1 - 3 T$$)($$1 - 3 T$$)($$1 - 3 T$$)($$1 - 3 T$$)($$1 - 3 T$$)($$1 - 3 T$$)($$1 - 3 T$$)($$1 - 3 T$$)($$1 - 3 T$$)($$1 - 3 T$$)($$1 - 3 T$$)($$1 - 3 T$$)($$1 - 3 T$$)($$( 1 + 3 T )^{2}$$)($$( 1 + 3 T )^{2}$$)($$( 1 + 3 T )^{2}$$)($$( 1 + 3 T )^{2}$$)($$( 1 + 3 T )^{2}$$)($$( 1 + 3 T )^{2}$$)($$( 1 + 3 T )^{2}$$)($$( 1 + 3 T )^{2}$$)($$( 1 + 3 T )^{2}$$)($$( 1 + 3 T )^{2}$$)($$( 1 - 3 T )^{2}$$)($$( 1 - 3 T )^{2}$$)($$( 1 - 3 T )^{2}$$)($$( 1 - 3 T )^{2}$$)($$( 1 - 3 T )^{2}$$)($$( 1 - 3 T )^{2}$$)($$( 1 - 3 T )^{2}$$)($$( 1 - 3 T )^{2}$$)($$( 1 - 3 T )^{2}$$)($$( 1 - 3 T )^{2}$$)($$( 1 - 3 T )^{2}$$)($$( 1 + 3 T )^{3}$$)($$( 1 + 3 T )^{3}$$)($$( 1 - 3 T )^{3}$$)($$( 1 - 3 T )^{3}$$)($$( 1 + 3 T )^{4}$$)($$( 1 + 3 T )^{4}$$)($$( 1 + 3 T )^{4}$$)($$( 1 + 3 T )^{4}$$)($$( 1 - 3 T )^{4}$$)($$( 1 - 3 T )^{4}$$)($$( 1 - 3 T )^{4}$$)($$( 1 - 3 T )^{4}$$)
$5$ ($$1 + 18 T + 125 T^{2}$$)($$1 + 12 T + 125 T^{2}$$)($$1 + 7 T + 125 T^{2}$$)($$1 + 6 T + 125 T^{2}$$)($$1 + 6 T + 125 T^{2}$$)($$1 + 6 T + 125 T^{2}$$)($$1 + 4 T + 125 T^{2}$$)($$1 + 4 T + 125 T^{2}$$)($$1 + 3 T + 125 T^{2}$$)($$1 + 2 T + 125 T^{2}$$)($$1 - 2 T + 125 T^{2}$$)($$1 - 4 T + 125 T^{2}$$)($$1 - 8 T + 125 T^{2}$$)($$1 - 10 T + 125 T^{2}$$)($$1 - 11 T + 125 T^{2}$$)($$1 - 12 T + 125 T^{2}$$)($$1 - 15 T + 125 T^{2}$$)($$1 - 18 T + 125 T^{2}$$)($$1 - 18 T + 125 T^{2}$$)($$1 + 18 T + 125 T^{2}$$)($$1 + 15 T + 125 T^{2}$$)($$1 + 14 T + 125 T^{2}$$)($$1 + 14 T + 125 T^{2}$$)($$1 + 12 T + 125 T^{2}$$)($$1 + 11 T + 125 T^{2}$$)($$1 + 8 T + 125 T^{2}$$)($$1 + 2 T + 125 T^{2}$$)($$1 - 2 T + 125 T^{2}$$)($$1 - 2 T + 125 T^{2}$$)($$1 - 3 T + 125 T^{2}$$)($$1 - 4 T + 125 T^{2}$$)($$1 - 6 T + 125 T^{2}$$)($$1 - 7 T + 125 T^{2}$$)($$1 - 10 T + 125 T^{2}$$)($$1 - 12 T + 125 T^{2}$$)($$1 - 16 T + 125 T^{2}$$)($$1 - 18 T + 125 T^{2}$$)($$1 + 20 T + 252 T^{2} + 2500 T^{3} + 15625 T^{4}$$)($$1 + 18 T + 194 T^{2} + 2250 T^{3} + 15625 T^{4}$$)($$1 + 12 T + 188 T^{2} + 1500 T^{3} + 15625 T^{4}$$)($$1 + 9 T + 144 T^{2} + 1125 T^{3} + 15625 T^{4}$$)($$1 - 3 T + 124 T^{2} - 375 T^{3} + 15625 T^{4}$$)($$1 - 5 T - 80 T^{2} - 625 T^{3} + 15625 T^{4}$$)($$1 - 6 T - 78 T^{2} - 750 T^{3} + 15625 T^{4}$$)($$1 - 6 T + 146 T^{2} - 750 T^{3} + 15625 T^{4}$$)($$1 - 11 T + 232 T^{2} - 1375 T^{3} + 15625 T^{4}$$)($$1 - 12 T + 284 T^{2} - 1500 T^{3} + 15625 T^{4}$$)($$1 + 14 T + 122 T^{2} + 1750 T^{3} + 15625 T^{4}$$)($$1 + 12 T + 284 T^{2} + 1500 T^{3} + 15625 T^{4}$$)($$1 + 11 T + 232 T^{2} + 1375 T^{3} + 15625 T^{4}$$)($$1 + 6 T + 146 T^{2} + 750 T^{3} + 15625 T^{4}$$)($$1 + 6 T + 202 T^{2} + 750 T^{3} + 15625 T^{4}$$)($$1 + 5 T - 80 T^{2} + 625 T^{3} + 15625 T^{4}$$)($$1 + 3 T + 124 T^{2} + 375 T^{3} + 15625 T^{4}$$)($$1 - 9 T + 144 T^{2} - 1125 T^{3} + 15625 T^{4}$$)($$1 - 12 T + 188 T^{2} - 1500 T^{3} + 15625 T^{4}$$)($$1 - 18 T + 194 T^{2} - 2250 T^{3} + 15625 T^{4}$$)($$1 - 20 T + 252 T^{2} - 2500 T^{3} + 15625 T^{4}$$)($$1 + 11 T + 183 T^{2} + 1514 T^{3} + 22875 T^{4} + 171875 T^{5} + 1953125 T^{6}$$)($$1 + 11 T + 155 T^{2} + 2802 T^{3} + 19375 T^{4} + 171875 T^{5} + 1953125 T^{6}$$)($$1 - 11 T + 183 T^{2} - 1514 T^{3} + 22875 T^{4} - 171875 T^{5} + 1953125 T^{6}$$)($$1 - 11 T + 155 T^{2} - 2802 T^{3} + 19375 T^{4} - 171875 T^{5} + 1953125 T^{6}$$)($$1 + 8 T + 296 T^{2} + 2312 T^{3} + 48194 T^{4} + 289000 T^{5} + 4625000 T^{6} + 15625000 T^{7} + 244140625 T^{8}$$)($$1 + 88 T^{2} - 576 T^{3} + 18498 T^{4} - 72000 T^{5} + 1375000 T^{6} + 244140625 T^{8}$$)($$1 - 4 T + 203 T^{2} - 1244 T^{3} + 19472 T^{4} - 155500 T^{5} + 3171875 T^{6} - 7812500 T^{7} + 244140625 T^{8}$$)($$1 - 8 T + 200 T^{2} - 1544 T^{3} + 40898 T^{4} - 193000 T^{5} + 3125000 T^{6} - 15625000 T^{7} + 244140625 T^{8}$$)($$1 + 8 T + 200 T^{2} + 1544 T^{3} + 40898 T^{4} + 193000 T^{5} + 3125000 T^{6} + 15625000 T^{7} + 244140625 T^{8}$$)($$1 + 4 T + 203 T^{2} + 1244 T^{3} + 19472 T^{4} + 155500 T^{5} + 3171875 T^{6} + 7812500 T^{7} + 244140625 T^{8}$$)($$1 + 88 T^{2} + 576 T^{3} + 18498 T^{4} + 72000 T^{5} + 1375000 T^{6} + 244140625 T^{8}$$)($$1 - 8 T + 296 T^{2} - 2312 T^{3} + 48194 T^{4} - 289000 T^{5} + 4625000 T^{6} - 15625000 T^{7} + 244140625 T^{8}$$)
$7$ 1
$11$ ($$1 - 72 T + 1331 T^{2}$$)($$1 + 20 T + 1331 T^{2}$$)($$1 + 7 T + 1331 T^{2}$$)($$1 + 36 T + 1331 T^{2}$$)($$1 + 12 T + 1331 T^{2}$$)($$1 - 30 T + 1331 T^{2}$$)($$1 - 20 T + 1331 T^{2}$$)($$1 - 26 T + 1331 T^{2}$$)($$1 - 15 T + 1331 T^{2}$$)($$1 - 18 T + 1331 T^{2}$$)($$1 + 12 T + 1331 T^{2}$$)($$1 + 62 T + 1331 T^{2}$$)($$1 + 40 T + 1331 T^{2}$$)($$1 - 12 T + 1331 T^{2}$$)($$1 + 39 T + 1331 T^{2}$$)($$1 - 60 T + 1331 T^{2}$$)($$1 - 9 T + 1331 T^{2}$$)($$1 - 36 T + 1331 T^{2}$$)($$1 - 50 T + 1331 T^{2}$$)($$1 - 50 T + 1331 T^{2}$$)($$1 - 9 T + 1331 T^{2}$$)($$1 + 4 T + 1331 T^{2}$$)($$1 - 28 T + 1331 T^{2}$$)($$1 - 60 T + 1331 T^{2}$$)($$1 + 39 T + 1331 T^{2}$$)($$1 + 40 T + 1331 T^{2}$$)($$1 - 8 T + 1331 T^{2}$$)($$1 + 52 T + 1331 T^{2}$$)($$1 - 18 T + 1331 T^{2}$$)($$1 - 15 T + 1331 T^{2}$$)($$1 - 20 T + 1331 T^{2}$$)($$1 - 30 T + 1331 T^{2}$$)($$1 + 7 T + 1331 T^{2}$$)($$1 - 52 T + 1331 T^{2}$$)($$1 + 20 T + 1331 T^{2}$$)($$1 - 18 T + 1331 T^{2}$$)($$1 + 36 T + 1331 T^{2}$$)($$1 - 20 T + 1610 T^{2} - 26620 T^{3} + 1771561 T^{4}$$)($$1 + 58 T + 2270 T^{2} + 77198 T^{3} + 1771561 T^{4}$$)($$1 - 4 T - 862 T^{2} - 5324 T^{3} + 1771561 T^{4}$$)($$1 + 5 T - 488 T^{2} + 6655 T^{3} + 1771561 T^{4}$$)($$1 - 51 T + 3184 T^{2} - 67881 T^{3} + 1771561 T^{4}$$)($$1 + 67 T + 3448 T^{2} + 89177 T^{3} + 1771561 T^{4}$$)($$1 + 26 T + 2494 T^{2} + 34606 T^{3} + 1771561 T^{4}$$)($$1 + 2 T + 1646 T^{2} + 2662 T^{3} + 1771561 T^{4}$$)($$1 - 5 T + 304 T^{2} - 6655 T^{3} + 1771561 T^{4}$$)($$1 + 4 T + 2594 T^{2} + 5324 T^{3} + 1771561 T^{4}$$)($$1 + 18 T + 1150 T^{2} + 23958 T^{3} + 1771561 T^{4}$$)($$1 + 4 T + 2594 T^{2} + 5324 T^{3} + 1771561 T^{4}$$)($$1 - 5 T + 304 T^{2} - 6655 T^{3} + 1771561 T^{4}$$)($$1 + 2 T + 1646 T^{2} + 2662 T^{3} + 1771561 T^{4}$$)($$1 - 6 T + 1246 T^{2} - 7986 T^{3} + 1771561 T^{4}$$)($$1 + 67 T + 3448 T^{2} + 89177 T^{3} + 1771561 T^{4}$$)($$1 - 51 T + 3184 T^{2} - 67881 T^{3} + 1771561 T^{4}$$)($$1 + 5 T - 488 T^{2} + 6655 T^{3} + 1771561 T^{4}$$)($$1 - 4 T - 862 T^{2} - 5324 T^{3} + 1771561 T^{4}$$)($$1 + 58 T + 2270 T^{2} + 77198 T^{3} + 1771561 T^{4}$$)($$1 - 20 T + 1610 T^{2} - 26620 T^{3} + 1771561 T^{4}$$)($$1 + 35 T + 2625 T^{2} + 102734 T^{3} + 3493875 T^{4} + 62004635 T^{5} + 2357947691 T^{6}$$)($$1 - 19 T + 3369 T^{2} - 53854 T^{3} + 4484139 T^{4} - 33659659 T^{5} + 2357947691 T^{6}$$)($$1 + 35 T + 2625 T^{2} + 102734 T^{3} + 3493875 T^{4} + 62004635 T^{5} + 2357947691 T^{6}$$)($$1 - 19 T + 3369 T^{2} - 53854 T^{3} + 4484139 T^{4} - 33659659 T^{5} + 2357947691 T^{6}$$)($$1 - 40 T + 2404 T^{2} - 79752 T^{3} + 4895510 T^{4} - 106149912 T^{5} + 4258832644 T^{6} - 94317907640 T^{7} + 3138428376721 T^{8}$$)($$1 + 1188 T^{2} - 82944 T^{3} + 352406 T^{4} - 110398464 T^{5} + 2104614468 T^{6} + 3138428376721 T^{8}$$)($$1 + 14 T - 71 T^{2} - 12014 T^{3} + 2033720 T^{4} - 15990634 T^{5} - 125780831 T^{6} + 33011267674 T^{7} + 3138428376721 T^{8}$$)($$1 + 40 T + 5092 T^{2} + 155016 T^{3} + 10018838 T^{4} + 206326296 T^{5} + 9020788612 T^{6} + 94317907640 T^{7} + 3138428376721 T^{8}$$)($$1 + 40 T + 5092 T^{2} + 155016 T^{3} + 10018838 T^{4} + 206326296 T^{5} + 9020788612 T^{6} + 94317907640 T^{7} + 3138428376721 T^{8}$$)($$1 + 14 T - 71 T^{2} - 12014 T^{3} + 2033720 T^{4} - 15990634 T^{5} - 125780831 T^{6} + 33011267674 T^{7} + 3138428376721 T^{8}$$)($$1 + 1188 T^{2} - 82944 T^{3} + 352406 T^{4} - 110398464 T^{5} + 2104614468 T^{6} + 3138428376721 T^{8}$$)($$1 - 40 T + 2404 T^{2} - 79752 T^{3} + 4895510 T^{4} - 106149912 T^{5} + 4258832644 T^{6} - 94317907640 T^{7} + 3138428376721 T^{8}$$)
$13$ ($$1 - 34 T + 2197 T^{2}$$)($$1 - 84 T + 2197 T^{2}$$)($$1 - 52 T + 2197 T^{2}$$)($$1 + 62 T + 2197 T^{2}$$)($$1 + 38 T + 2197 T^{2}$$)($$1 - 53 T + 2197 T^{2}$$)($$1 - 4 T + 2197 T^{2}$$)($$1 + 2 T + 2197 T^{2}$$)($$1 + 64 T + 2197 T^{2}$$)($$1 + 33 T + 2197 T^{2}$$)($$1 - 66 T + 2197 T^{2}$$)($$1 - 62 T + 2197 T^{2}$$)($$1 - 4 T + 2197 T^{2}$$)($$1 + 30 T + 2197 T^{2}$$)($$1 - 32 T + 2197 T^{2}$$)($$1 - 44 T + 2197 T^{2}$$)($$1 - 88 T + 2197 T^{2}$$)($$1 - 34 T + 2197 T^{2}$$)($$1 + 36 T + 2197 T^{2}$$)($$1 - 36 T + 2197 T^{2}$$)($$1 + 88 T + 2197 T^{2}$$)($$1 + 54 T + 2197 T^{2}$$)($$1 - 74 T + 2197 T^{2}$$)($$1 + 44 T + 2197 T^{2}$$)($$1 + 32 T + 2197 T^{2}$$)($$1 + 4 T + 2197 T^{2}$$)($$1 - 42 T + 2197 T^{2}$$)($$1 + 86 T + 2197 T^{2}$$)($$1 - 33 T + 2197 T^{2}$$)($$1 - 64 T + 2197 T^{2}$$)($$1 + 4 T + 2197 T^{2}$$)($$1 + 53 T + 2197 T^{2}$$)($$1 + 52 T + 2197 T^{2}$$)($$1 - 10 T + 2197 T^{2}$$)($$1 + 84 T + 2197 T^{2}$$)($$1 - 54 T + 2197 T^{2}$$)($$1 - 10 T + 2197 T^{2}$$)($$1 + 104 T + 5848 T^{2} + 228488 T^{3} + 4826809 T^{4}$$)($$1 + 48 T + 2778 T^{2} + 105456 T^{3} + 4826809 T^{4}$$)($$1 + 48 T + 4088 T^{2} + 105456 T^{3} + 4826809 T^{4}$$)($$1 - 19 T + 4358 T^{2} - 41743 T^{3} + 4826809 T^{4}$$)($$1 + 61 T + 2118 T^{2} + 134017 T^{3} + 4826809 T^{4}$$)($$1 - 41 T + 4478 T^{2} - 90077 T^{3} + 4826809 T^{4}$$)($$1 + 96 T + 5350 T^{2} + 210912 T^{3} + 4826809 T^{4}$$)($$1 + 2586 T^{2} + 4826809 T^{4}$$)($$1 - 5 T + 3194 T^{2} - 10985 T^{3} + 4826809 T^{4}$$)($$1 - 48 T + 4520 T^{2} - 105456 T^{3} + 4826809 T^{4}$$)($$1 + 48 T + 4262 T^{2} + 105456 T^{3} + 4826809 T^{4}$$)($$1 + 48 T + 4520 T^{2} + 105456 T^{3} + 4826809 T^{4}$$)($$1 + 5 T + 3194 T^{2} + 10985 T^{3} + 4826809 T^{4}$$)($$1 + 2586 T^{2} + 4826809 T^{4}$$)($$1 + 16 T + 2406 T^{2} + 35152 T^{3} + 4826809 T^{4}$$)($$1 + 41 T + 4478 T^{2} + 90077 T^{3} + 4826809 T^{4}$$)($$1 - 61 T + 2118 T^{2} - 134017 T^{3} + 4826809 T^{4}$$)($$1 + 19 T + 4358 T^{2} + 41743 T^{3} + 4826809 T^{4}$$)($$1 - 48 T + 4088 T^{2} - 105456 T^{3} + 4826809 T^{4}$$)($$1 - 48 T + 2778 T^{2} - 105456 T^{3} + 4826809 T^{4}$$)($$1 - 104 T + 5848 T^{2} - 228488 T^{3} + 4826809 T^{4}$$)($$1 + 62 T + 7016 T^{2} + 253976 T^{3} + 15414152 T^{4} + 299262158 T^{5} + 10604499373 T^{6}$$)($$1 + 22 T + 3096 T^{2} + 123644 T^{3} + 6801912 T^{4} + 106189798 T^{5} + 10604499373 T^{6}$$)($$1 - 62 T + 7016 T^{2} - 253976 T^{3} + 15414152 T^{4} - 299262158 T^{5} + 10604499373 T^{6}$$)($$1 - 22 T + 3096 T^{2} - 123644 T^{3} + 6801912 T^{4} - 106189798 T^{5} + 10604499373 T^{6}$$)($$1 + 48 T + 4080 T^{2} + 163056 T^{3} + 7581746 T^{4} + 358234032 T^{5} + 19693380720 T^{6} + 509015969904 T^{7} + 23298085122481 T^{8}$$)($$1 + 1696 T^{2} - 31104 T^{3} + 7806642 T^{4} - 68335488 T^{5} + 8186268064 T^{6} + 23298085122481 T^{8}$$)($$1 - 22 T + 1365 T^{2} - 60998 T^{3} + 10139200 T^{4} - 134012606 T^{5} + 6588594285 T^{6} - 233298986206 T^{7} + 23298085122481 T^{8}$$)($$1 - 48 T + 8912 T^{2} - 307440 T^{3} + 29511218 T^{4} - 675445680 T^{5} + 43016521808 T^{6} - 509015969904 T^{7} + 23298085122481 T^{8}$$)($$1 + 48 T + 8912 T^{2} + 307440 T^{3} + 29511218 T^{4} + 675445680 T^{5} + 43016521808 T^{6} + 509015969904 T^{7} + 23298085122481 T^{8}$$)($$1 + 22 T + 1365 T^{2} + 60998 T^{3} + 10139200 T^{4} + 134012606 T^{5} + 6588594285 T^{6} + 233298986206 T^{7} + 23298085122481 T^{8}$$)($$1 + 1696 T^{2} + 31104 T^{3} + 7806642 T^{4} + 68335488 T^{5} + 8186268064 T^{6} + 23298085122481 T^{8}$$)($$1 - 48 T + 4080 T^{2} - 163056 T^{3} + 7581746 T^{4} - 358234032 T^{5} + 19693380720 T^{6} - 509015969904 T^{7} + 23298085122481 T^{8}$$)
$17$ ($$1 + 6 T + 4913 T^{2}$$)($$1 - 96 T + 4913 T^{2}$$)($$1 + 72 T + 4913 T^{2}$$)($$1 + 114 T + 4913 T^{2}$$)($$1 - 126 T + 4913 T^{2}$$)($$1 + 84 T + 4913 T^{2}$$)($$1 + 24 T + 4913 T^{2}$$)($$1 - 36 T + 4913 T^{2}$$)($$1 - 84 T + 4913 T^{2}$$)($$1 - 68 T + 4913 T^{2}$$)($$1 - 70 T + 4913 T^{2}$$)($$1 + 84 T + 4913 T^{2}$$)($$1 + 84 T + 4913 T^{2}$$)($$1 + 34 T + 4913 T^{2}$$)($$1 + 12 T + 4913 T^{2}$$)($$1 + 128 T + 4913 T^{2}$$)($$1 - 84 T + 4913 T^{2}$$)($$1 + 42 T + 4913 T^{2}$$)($$1 - 126 T + 4913 T^{2}$$)($$1 + 126 T + 4913 T^{2}$$)($$1 + 84 T + 4913 T^{2}$$)($$1 - 14 T + 4913 T^{2}$$)($$1 + 82 T + 4913 T^{2}$$)($$1 - 128 T + 4913 T^{2}$$)($$1 - 12 T + 4913 T^{2}$$)($$1 - 84 T + 4913 T^{2}$$)($$1 - 2 T + 4913 T^{2}$$)($$1 - 30 T + 4913 T^{2}$$)($$1 + 68 T + 4913 T^{2}$$)($$1 + 84 T + 4913 T^{2}$$)($$1 - 24 T + 4913 T^{2}$$)($$1 - 84 T + 4913 T^{2}$$)($$1 - 72 T + 4913 T^{2}$$)($$1 - 54 T + 4913 T^{2}$$)($$1 + 96 T + 4913 T^{2}$$)($$1 - 128 T + 4913 T^{2}$$)($$1 + 18 T + 4913 T^{2}$$)($$1 + 116 T + 9140 T^{2} + 569908 T^{3} + 24137569 T^{4}$$)($$1 - 6 T + 9698 T^{2} - 29478 T^{3} + 24137569 T^{4}$$)($$1 + 84 T + 11492 T^{2} + 412692 T^{3} + 24137569 T^{4}$$)($$1 - 4 T + 7810 T^{2} - 19652 T^{3} + 24137569 T^{4}$$)($$1 + 24 T + 1762 T^{2} + 117912 T^{3} + 24137569 T^{4}$$)($$1 + 92 T + 6562 T^{2} + 451996 T^{3} + 24137569 T^{4}$$)($$1 + 78 T + 8314 T^{2} + 383214 T^{3} + 24137569 T^{4}$$)($$1 - 30 T + 9938 T^{2} - 147390 T^{3} + 24137569 T^{4}$$)($$1 - 100 T + 11554 T^{2} - 491300 T^{3} + 24137569 T^{4}$$)($$1 - 132 T + 13940 T^{2} - 648516 T^{3} + 24137569 T^{4}$$)($$1 + 34 T - 4222 T^{2} + 167042 T^{3} + 24137569 T^{4}$$)($$1 + 132 T + 13940 T^{2} + 648516 T^{3} + 24137569 T^{4}$$)($$1 + 100 T + 11554 T^{2} + 491300 T^{3} + 24137569 T^{4}$$)($$1 + 30 T + 9938 T^{2} + 147390 T^{3} + 24137569 T^{4}$$)($$1 - 6 T + 9778 T^{2} - 29478 T^{3} + 24137569 T^{4}$$)($$1 - 92 T + 6562 T^{2} - 451996 T^{3} + 24137569 T^{4}$$)($$1 - 24 T + 1762 T^{2} - 117912 T^{3} + 24137569 T^{4}$$)($$1 + 4 T + 7810 T^{2} + 19652 T^{3} + 24137569 T^{4}$$)($$1 - 84 T + 11492 T^{2} - 412692 T^{3} + 24137569 T^{4}$$)($$1 + 6 T + 9698 T^{2} + 29478 T^{3} + 24137569 T^{4}$$)($$1 - 116 T + 9140 T^{2} - 569908 T^{3} + 24137569 T^{4}$$)($$1 + 48 T + 12339 T^{2} + 358752 T^{3} + 60621507 T^{4} + 1158603312 T^{5} + 118587876497 T^{6}$$)($$1 + 104 T + 17299 T^{2} + 1017872 T^{3} + 84989987 T^{4} + 2510307176 T^{5} + 118587876497 T^{6}$$)($$1 - 48 T + 12339 T^{2} - 358752 T^{3} + 60621507 T^{4} - 1158603312 T^{5} + 118587876497 T^{6}$$)($$1 - 104 T + 17299 T^{2} - 1017872 T^{3} + 84989987 T^{4} - 2510307176 T^{5} + 118587876497 T^{6}$$)($$1 - 152 T + 15832 T^{2} - 1323320 T^{3} + 98297586 T^{4} - 6501471160 T^{5} + 382145992408 T^{6} - 18025357227544 T^{7} + 582622237229761 T^{8}$$)($$1 - 48 T + 9880 T^{2} - 116976 T^{3} + 43940658 T^{4} - 574703088 T^{5} + 238479181720 T^{6} - 5692218071856 T^{7} + 582622237229761 T^{8}$$)($$1 - 96 T + 5348 T^{2} + 301088 T^{3} - 39928698 T^{4} + 1479245344 T^{5} + 129087719012 T^{6} - 11384436143712 T^{7} + 582622237229761 T^{8}$$)($$1 - 72 T + 18328 T^{2} - 1017000 T^{3} + 132511218 T^{4} - 4996521000 T^{5} + 442393364632 T^{6} - 8538327107784 T^{7} + 582622237229761 T^{8}$$)($$1 + 72 T + 18328 T^{2} + 1017000 T^{3} + 132511218 T^{4} + 4996521000 T^{5} + 442393364632 T^{6} + 8538327107784 T^{7} + 582622237229761 T^{8}$$)($$1 + 96 T + 5348 T^{2} - 301088 T^{3} - 39928698 T^{4} - 1479245344 T^{5} + 129087719012 T^{6} + 11384436143712 T^{7} + 582622237229761 T^{8}$$)($$1 + 48 T + 9880 T^{2} + 116976 T^{3} + 43940658 T^{4} + 574703088 T^{5} + 238479181720 T^{6} + 5692218071856 T^{7} + 582622237229761 T^{8}$$)($$1 + 152 T + 15832 T^{2} + 1323320 T^{3} + 98297586 T^{4} + 6501471160 T^{5} + 382145992408 T^{6} + 18025357227544 T^{7} + 582622237229761 T^{8}$$)
$19$ ($$1 - 92 T + 6859 T^{2}$$)($$1 - 12 T + 6859 T^{2}$$)($$1 - 20 T + 6859 T^{2}$$)($$1 + 76 T + 6859 T^{2}$$)($$1 - 20 T + 6859 T^{2}$$)($$1 - 97 T + 6859 T^{2}$$)($$1 - 44 T + 6859 T^{2}$$)($$1 + 76 T + 6859 T^{2}$$)($$1 - 16 T + 6859 T^{2}$$)($$1 - 25 T + 6859 T^{2}$$)($$1 + 92 T + 6859 T^{2}$$)($$1 - 100 T + 6859 T^{2}$$)($$1 + 148 T + 6859 T^{2}$$)($$1 - 148 T + 6859 T^{2}$$)($$1 + 88 T + 6859 T^{2}$$)($$1 + 52 T + 6859 T^{2}$$)($$1 - 104 T + 6859 T^{2}$$)($$1 + 124 T + 6859 T^{2}$$)($$1 - 72 T + 6859 T^{2}$$)($$1 + 72 T + 6859 T^{2}$$)($$1 + 104 T + 6859 T^{2}$$)($$1 - 92 T + 6859 T^{2}$$)($$1 - 92 T + 6859 T^{2}$$)($$1 - 52 T + 6859 T^{2}$$)($$1 - 88 T + 6859 T^{2}$$)($$1 - 148 T + 6859 T^{2}$$)($$1 + 124 T + 6859 T^{2}$$)($$1 + 4 T + 6859 T^{2}$$)($$1 + 25 T + 6859 T^{2}$$)($$1 + 16 T + 6859 T^{2}$$)($$1 + 44 T + 6859 T^{2}$$)($$1 + 97 T + 6859 T^{2}$$)($$1 + 20 T + 6859 T^{2}$$)($$1 + 52 T + 6859 T^{2}$$)($$1 + 12 T + 6859 T^{2}$$)($$1 - 52 T + 6859 T^{2}$$)($$1 + 100 T + 6859 T^{2}$$)($$1 - 192 T + 21966 T^{2} - 1316928 T^{3} + 47045881 T^{4}$$)($$1 - 84 T + 1782 T^{2} - 576156 T^{3} + 47045881 T^{4}$$)($$1 + 72 T + 14622 T^{2} + 493848 T^{3} + 47045881 T^{4}$$)($$1 - 117 T + 10954 T^{2} - 802503 T^{3} + 47045881 T^{4}$$)($$1 - 169 T + 20730 T^{2} - 1159171 T^{3} + 47045881 T^{4}$$)($$1 + 43 T + 11154 T^{2} + 294937 T^{3} + 47045881 T^{4}$$)($$( 1 - 20 T + 6859 T^{2} )^{2}$$)($$1 + 12 T + 13302 T^{2} + 82308 T^{3} + 47045881 T^{4}$$)($$1 + 67 T + 14406 T^{2} + 459553 T^{3} + 47045881 T^{4}$$)($$1 + 120 T + 13086 T^{2} + 823080 T^{3} + 47045881 T^{4}$$)($$1 + 16 T + 10950 T^{2} + 109744 T^{3} + 47045881 T^{4}$$)($$1 - 120 T + 13086 T^{2} - 823080 T^{3} + 47045881 T^{4}$$)($$1 - 67 T + 14406 T^{2} - 459553 T^{3} + 47045881 T^{4}$$)($$1 - 12 T + 13302 T^{2} - 82308 T^{3} + 47045881 T^{4}$$)($$1 - 64 T + 6534 T^{2} - 438976 T^{3} + 47045881 T^{4}$$)($$1 - 43 T + 11154 T^{2} - 294937 T^{3} + 47045881 T^{4}$$)($$1 + 169 T + 20730 T^{2} + 1159171 T^{3} + 47045881 T^{4}$$)($$1 + 117 T + 10954 T^{2} + 802503 T^{3} + 47045881 T^{4}$$)($$1 - 72 T + 14622 T^{2} - 493848 T^{3} + 47045881 T^{4}$$)($$1 + 84 T + 1782 T^{2} + 576156 T^{3} + 47045881 T^{4}$$)($$1 + 192 T + 21966 T^{2} + 1316928 T^{3} + 47045881 T^{4}$$)($$1 + 202 T + 32858 T^{2} + 3004840 T^{3} + 225373022 T^{4} + 9503267962 T^{5} + 322687697779 T^{6}$$)($$1 + 202 T + 13334 T^{2} + 545068 T^{3} + 91457906 T^{4} + 9503267962 T^{5} + 322687697779 T^{6}$$)($$1 - 202 T + 32858 T^{2} - 3004840 T^{3} + 225373022 T^{4} - 9503267962 T^{5} + 322687697779 T^{6}$$)($$1 - 202 T + 13334 T^{2} - 545068 T^{3} + 91457906 T^{4} - 9503267962 T^{5} + 322687697779 T^{6}$$)($$1 - 224 T + 42396 T^{2} - 4864224 T^{3} + 486114742 T^{4} - 33363712416 T^{5} + 1994557170876 T^{6} - 72282044302496 T^{7} + 2213314919066161 T^{8}$$)($$1 + 192 T + 24156 T^{2} + 2400960 T^{3} + 195309110 T^{4} + 16468184640 T^{5} + 1136440301436 T^{6} + 61956037973568 T^{7} + 2213314919066161 T^{8}$$)($$1 - 26 T + 13201 T^{2} - 793654 T^{3} + 92486852 T^{4} - 5443672786 T^{5} + 621052675081 T^{6} - 8389880142254 T^{7} + 2213314919066161 T^{8}$$)($$1 + 32 T + 12444 T^{2} + 444960 T^{3} + 127487926 T^{4} + 3051980640 T^{5} + 585438943164 T^{6} + 10326006328928 T^{7} + 2213314919066161 T^{8}$$)($$1 - 32 T + 12444 T^{2} - 444960 T^{3} + 127487926 T^{4} - 3051980640 T^{5} + 585438943164 T^{6} - 10326006328928 T^{7} + 2213314919066161 T^{8}$$)($$1 + 26 T + 13201 T^{2} + 793654 T^{3} + 92486852 T^{4} + 5443672786 T^{5} + 621052675081 T^{6} + 8389880142254 T^{7} + 2213314919066161 T^{8}$$)($$1 - 192 T + 24156 T^{2} - 2400960 T^{3} + 195309110 T^{4} - 16468184640 T^{5} + 1136440301436 T^{6} - 61956037973568 T^{7} + 2213314919066161 T^{8}$$)($$1 + 224 T + 42396 T^{2} + 4864224 T^{3} + 486114742 T^{4} + 33363712416 T^{5} + 1994557170876 T^{6} + 72282044302496 T^{7} + 2213314919066161 T^{8}$$)
$23$ ($$1 - 180 T + 12167 T^{2}$$)($$1 - 176 T + 12167 T^{2}$$)($$1 - 48 T + 12167 T^{2}$$)($$1 - 24 T + 12167 T^{2}$$)($$1 + 168 T + 12167 T^{2}$$)($$1 + 84 T + 12167 T^{2}$$)($$1 + 72 T + 12167 T^{2}$$)($$1 - 114 T + 12167 T^{2}$$)($$1 - 84 T + 12167 T^{2}$$)($$1 + 92 T + 12167 T^{2}$$)($$1 + 16 T + 12167 T^{2}$$)($$1 - 42 T + 12167 T^{2}$$)($$1 + 84 T + 12167 T^{2}$$)($$1 + 152 T + 12167 T^{2}$$)($$1 - 92 T + 12167 T^{2}$$)($$1 - 160 T + 12167 T^{2}$$)($$1 - 84 T + 12167 T^{2}$$)($$1 + 12167 T^{2}$$)($$1 + 14 T + 12167 T^{2}$$)($$1 + 14 T + 12167 T^{2}$$)($$1 - 84 T + 12167 T^{2}$$)($$1 - 152 T + 12167 T^{2}$$)($$1 + 8 T + 12167 T^{2}$$)($$1 - 160 T + 12167 T^{2}$$)($$1 - 92 T + 12167 T^{2}$$)($$1 + 84 T + 12167 T^{2}$$)($$1 + 76 T + 12167 T^{2}$$)($$1 + 120 T + 12167 T^{2}$$)($$1 + 92 T + 12167 T^{2}$$)($$1 - 84 T + 12167 T^{2}$$)($$1 + 72 T + 12167 T^{2}$$)($$1 + 84 T + 12167 T^{2}$$)($$1 - 48 T + 12167 T^{2}$$)($$1 + 48 T + 12167 T^{2}$$)($$1 - 176 T + 12167 T^{2}$$)($$1 - 202 T + 12167 T^{2}$$)($$1 + 72 T + 12167 T^{2}$$)($$1 + 28 T + 22962 T^{2} + 340676 T^{3} + 148035889 T^{4}$$)($$1 + 6 T - 6482 T^{2} + 73002 T^{3} + 148035889 T^{4}$$)($$1 - 308 T + 44522 T^{2} - 3747436 T^{3} + 148035889 T^{4}$$)($$1 + 148 T + 27790 T^{2} + 1800716 T^{3} + 148035889 T^{4}$$)($$( 1 - 96 T + 12167 T^{2} )^{2}$$)($$1 + 148 T + 24430 T^{2} + 1800716 T^{3} + 148035889 T^{4}$$)($$1 + 22 T + 16030 T^{2} + 267674 T^{3} + 148035889 T^{4}$$)($$1 + 78 T + 16702 T^{2} + 949026 T^{3} + 148035889 T^{4}$$)($$1 + 76 T + 6478 T^{2} + 924692 T^{3} + 148035889 T^{4}$$)($$1 - 76 T + 4970 T^{2} - 924692 T^{3} + 148035889 T^{4}$$)($$1 + 110 T + 18686 T^{2} + 1338370 T^{3} + 148035889 T^{4}$$)($$1 - 76 T + 4970 T^{2} - 924692 T^{3} + 148035889 T^{4}$$)($$1 + 76 T + 6478 T^{2} + 924692 T^{3} + 148035889 T^{4}$$)($$1 + 78 T + 16702 T^{2} + 949026 T^{3} + 148035889 T^{4}$$)($$1 + 6 T + 7870 T^{2} + 73002 T^{3} + 148035889 T^{4}$$)($$1 + 148 T + 24430 T^{2} + 1800716 T^{3} + 148035889 T^{4}$$)($$( 1 - 96 T + 12167 T^{2} )^{2}$$)($$1 + 148 T + 27790 T^{2} + 1800716 T^{3} + 148035889 T^{4}$$)($$1 - 308 T + 44522 T^{2} - 3747436 T^{3} + 148035889 T^{4}$$)($$1 + 6 T - 6482 T^{2} + 73002 T^{3} + 148035889 T^{4}$$)($$1 + 28 T + 22962 T^{2} + 340676 T^{3} + 148035889 T^{4}$$)($$1 + 216 T + 35829 T^{2} + 3675600 T^{3} + 435931443 T^{4} + 31975752024 T^{5} + 1801152661463 T^{6}$$)($$1 - 280 T + 43477 T^{2} - 5280784 T^{3} + 528984659 T^{4} - 41450048920 T^{5} + 1801152661463 T^{6}$$)($$1 + 216 T + 35829 T^{2} + 3675600 T^{3} + 435931443 T^{4} + 31975752024 T^{5} + 1801152661463 T^{6}$$)($$1 - 280 T + 43477 T^{2} - 5280784 T^{3} + 528984659 T^{4} - 41450048920 T^{5} + 1801152661463 T^{6}$$)($$1 - 8 T + 9780 T^{2} - 1509576 T^{3} + 54064134 T^{4} - 18367011192 T^{5} + 1447790994420 T^{6} - 14409221291704 T^{7} + 21914624432020321 T^{8}$$)($$1 + 192 T + 52596 T^{2} + 6099648 T^{3} + 943244678 T^{4} + 74214417216 T^{5} + 7786095617844 T^{6} + 345821311000896 T^{7} + 21914624432020321 T^{8}$$)($$1 + 96 T + 34364 T^{2} + 3625760 T^{3} + 540043494 T^{4} + 44114621920 T^{5} + 5087105289596 T^{6} + 172910655500448 T^{7} + 21914624432020321 T^{8}$$)($$1 + 8 T + 44724 T^{2} + 187080 T^{3} + 792000774 T^{4} + 2276202360 T^{5} + 6620757099636 T^{6} + 14409221291704 T^{7} + 21914624432020321 T^{8}$$)($$1 + 8 T + 44724 T^{2} + 187080 T^{3} + 792000774 T^{4} + 2276202360 T^{5} + 6620757099636 T^{6} + 14409221291704 T^{7} + 21914624432020321 T^{8}$$)($$1 + 96 T + 34364 T^{2} + 3625760 T^{3} + 540043494 T^{4} + 44114621920 T^{5} + 5087105289596 T^{6} + 172910655500448 T^{7} + 21914624432020321 T^{8}$$)($$1 + 192 T + 52596 T^{2} + 6099648 T^{3} + 943244678 T^{4} + 74214417216 T^{5} + 7786095617844 T^{6} + 345821311000896 T^{7} + 21914624432020321 T^{8}$$)($$1 - 8 T + 9780 T^{2} - 1509576 T^{3} + 54064134 T^{4} - 18367011192 T^{5} + 1447790994420 T^{6} - 14409221291704 T^{7} + 21914624432020321 T^{8}$$)
$29$ ($$1 + 114 T + 24389 T^{2}$$)($$1 - 58 T + 24389 T^{2}$$)($$1 + 243 T + 24389 T^{2}$$)($$1 - 54 T + 24389 T^{2}$$)($$1 - 30 T + 24389 T^{2}$$)($$1 + 180 T + 24389 T^{2}$$)($$1 + 38 T + 24389 T^{2}$$)($$1 - 6 T + 24389 T^{2}$$)($$1 + 297 T + 24389 T^{2}$$)($$1 - 92 T + 24389 T^{2}$$)($$1 + 122 T + 24389 T^{2}$$)($$1 + 10 T + 24389 T^{2}$$)($$1 - 58 T + 24389 T^{2}$$)($$1 + 106 T + 24389 T^{2}$$)($$1 - 255 T + 24389 T^{2}$$)($$1 + 230 T + 24389 T^{2}$$)($$1 - 51 T + 24389 T^{2}$$)($$1 - 102 T + 24389 T^{2}$$)($$1 - 158 T + 24389 T^{2}$$)($$1 - 158 T + 24389 T^{2}$$)($$1 - 51 T + 24389 T^{2}$$)($$1 + 106 T + 24389 T^{2}$$)($$1 + 138 T + 24389 T^{2}$$)($$1 + 230 T + 24389 T^{2}$$)($$1 - 255 T + 24389 T^{2}$$)($$1 - 58 T + 24389 T^{2}$$)($$1 - 254 T + 24389 T^{2}$$)($$1 - 246 T + 24389 T^{2}$$)($$1 - 92 T + 24389 T^{2}$$)($$1 + 297 T + 24389 T^{2}$$)($$1 + 38 T + 24389 T^{2}$$)($$1 + 180 T + 24389 T^{2}$$)($$1 + 243 T + 24389 T^{2}$$)($$1 + 186 T + 24389 T^{2}$$)($$1 - 58 T + 24389 T^{2}$$)($$1 - 302 T + 24389 T^{2}$$)($$1 + 234 T + 24389 T^{2}$$)($$1 - 296 T + 62994 T^{2} - 7219144 T^{3} + 594823321 T^{4}$$)($$1 + 104 T + 46550 T^{2} + 2536456 T^{3} + 594823321 T^{4}$$)($$1 + 80 T + 18626 T^{2} + 1951120 T^{3} + 594823321 T^{4}$$)($$1 + 95 T + 47878 T^{2} + 2316955 T^{3} + 594823321 T^{4}$$)($$1 + 39 T + 12094 T^{2} + 951171 T^{3} + 594823321 T^{4}$$)($$1 - 77 T + 9574 T^{2} - 1877953 T^{3} + 594823321 T^{4}$$)($$( 1 - 102 T + 24389 T^{2} )^{2}$$)($$1 - 56 T + 12950 T^{2} - 1365784 T^{3} + 594823321 T^{4}$$)($$1 - 275 T + 61846 T^{2} - 6706975 T^{3} + 594823321 T^{4}$$)($$1 + 112 T + 6914 T^{2} + 2731568 T^{3} + 594823321 T^{4}$$)($$1 - 212 T + 57182 T^{2} - 5170468 T^{3} + 594823321 T^{4}$$)($$1 + 112 T + 6914 T^{2} + 2731568 T^{3} + 594823321 T^{4}$$)($$1 - 275 T + 61846 T^{2} - 6706975 T^{3} + 594823321 T^{4}$$)($$1 - 56 T + 12950 T^{2} - 1365784 T^{3} + 594823321 T^{4}$$)($$1 + 252 T + 56446 T^{2} + 6146028 T^{3} + 594823321 T^{4}$$)($$1 - 77 T + 9574 T^{2} - 1877953 T^{3} + 594823321 T^{4}$$)($$1 + 39 T + 12094 T^{2} + 951171 T^{3} + 594823321 T^{4}$$)($$1 + 95 T + 47878 T^{2} + 2316955 T^{3} + 594823321 T^{4}$$)($$1 + 80 T + 18626 T^{2} + 1951120 T^{3} + 594823321 T^{4}$$)($$1 + 104 T + 46550 T^{2} + 2536456 T^{3} + 594823321 T^{4}$$)($$1 - 296 T + 62994 T^{2} - 7219144 T^{3} + 594823321 T^{4}$$)($$1 - 53 T + 52695 T^{2} - 3410210 T^{3} + 1285178355 T^{4} - 31525636013 T^{5} + 14507145975869 T^{6}$$)($$1 + 73 T + 44143 T^{2} + 4531786 T^{3} + 1076603627 T^{4} + 43422102433 T^{5} + 14507145975869 T^{6}$$)($$1 - 53 T + 52695 T^{2} - 3410210 T^{3} + 1285178355 T^{4} - 31525636013 T^{5} + 14507145975869 T^{6}$$)($$1 + 73 T + 44143 T^{2} + 4531786 T^{3} + 1076603627 T^{4} + 43422102433 T^{5} + 14507145975869 T^{6}$$)($$1 + 144 T + 70628 T^{2} + 7042032 T^{3} + 2292651510 T^{4} + 171748118448 T^{5} + 42011181515588 T^{6} + 2089029020525136 T^{7} + 353814783205469041 T^{8}$$)($$1 - 96 T + 85860 T^{2} - 6375072 T^{3} + 3037151990 T^{4} - 155481631008 T^{5} + 51071530341060 T^{6} - 1392686013683424 T^{7} + 353814783205469041 T^{8}$$)($$1 + 76 T + 45263 T^{2} + 1864308 T^{3} + 1017389172 T^{4} + 45468607812 T^{5} + 26923487978423 T^{6} + 1102543094166044 T^{7} + 353814783205469041 T^{8}$$)($$1 - 144 T + 52836 T^{2} - 9502704 T^{3} + 1581400822 T^{4} - 231761447856 T^{5} + 31428084988356 T^{6} - 2089029020525136 T^{7} + 353814783205469041 T^{8}$$)($$1 - 144 T + 52836 T^{2} - 9502704 T^{3} + 1581400822 T^{4} - 231761447856 T^{5} + 31428084988356 T^{6} - 2089029020525136 T^{7} + 353814783205469041 T^{8}$$)($$1 + 76 T + 45263 T^{2} + 1864308 T^{3} + 1017389172 T^{4} + 45468607812 T^{5} + 26923487978423 T^{6} + 1102543094166044 T^{7} + 353814783205469041 T^{8}$$)($$1 - 96 T + 85860 T^{2} - 6375072 T^{3} + 3037151990 T^{4} - 155481631008 T^{5} + 51071530341060 T^{6} - 1392686013683424 T^{7} + 353814783205469041 T^{8}$$)($$1 + 144 T + 70628 T^{2} + 7042032 T^{3} + 2292651510 T^{4} + 171748118448 T^{5} + 42011181515588 T^{6} + 2089029020525136 T^{7} + 353814783205469041 T^{8}$$)
$31$ ($$1 - 56 T + 29791 T^{2}$$)($$1 + 264 T + 29791 T^{2}$$)($$1 - 95 T + 29791 T^{2}$$)($$1 + 112 T + 29791 T^{2}$$)($$1 + 88 T + 29791 T^{2}$$)($$1 + 179 T + 29791 T^{2}$$)($$1 - 184 T + 29791 T^{2}$$)($$1 + 256 T + 29791 T^{2}$$)($$1 - 253 T + 29791 T^{2}$$)($$1 - 25 T + 29791 T^{2}$$)($$1 - 64 T + 29791 T^{2}$$)($$1 + 48 T + 29791 T^{2}$$)($$1 - 136 T + 29791 T^{2}$$)($$1 - 304 T + 29791 T^{2}$$)($$1 + 35 T + 29791 T^{2}$$)($$1 + 136 T + 29791 T^{2}$$)($$1 - 185 T + 29791 T^{2}$$)($$1 + 160 T + 29791 T^{2}$$)($$1 - 36 T + 29791 T^{2}$$)($$1 + 36 T + 29791 T^{2}$$)($$1 + 185 T + 29791 T^{2}$$)($$1 + 144 T + 29791 T^{2}$$)($$1 - 80 T + 29791 T^{2}$$)($$1 - 136 T + 29791 T^{2}$$)($$1 - 35 T + 29791 T^{2}$$)($$1 + 136 T + 29791 T^{2}$$)($$1 + 72 T + 29791 T^{2}$$)($$1 - 80 T + 29791 T^{2}$$)($$1 + 25 T + 29791 T^{2}$$)($$1 + 253 T + 29791 T^{2}$$)($$1 + 184 T + 29791 T^{2}$$)($$1 - 179 T + 29791 T^{2}$$)($$1 + 95 T + 29791 T^{2}$$)($$1 - 224 T + 29791 T^{2}$$)($$1 - 264 T + 29791 T^{2}$$)($$1 + 200 T + 29791 T^{2}$$)($$1 + 16 T + 29791 T^{2}$$)($$1 + 104 T + 57286 T^{2} + 3098264 T^{3} + 887503681 T^{4}$$)($$1 - 252 T + 74910 T^{2} - 7507332 T^{3} + 887503681 T^{4}$$)($$1 - 384 T + 92918 T^{2} - 11439744 T^{3} + 887503681 T^{4}$$)($$1 + 360 T + 91477 T^{2} + 10724760 T^{3} + 887503681 T^{4}$$)($$1 + 92 T + 48873 T^{2} + 2740772 T^{3} + 887503681 T^{4}$$)($$1 - 520 T + 125837 T^{2} - 15491320 T^{3} + 887503681 T^{4}$$)($$1 - 96 T - 24386 T^{2} - 2859936 T^{3} + 887503681 T^{4}$$)($$1 + 132 T + 52638 T^{2} + 3932412 T^{3} + 887503681 T^{4}$$)($$1 + 362 T + 73043 T^{2} + 10784342 T^{3} + 887503681 T^{4}$$)($$1 + 432 T + 100406 T^{2} + 12869712 T^{3} + 887503681 T^{4}$$)($$1 + 136 T + 61374 T^{2} + 4051576 T^{3} + 887503681 T^{4}$$)($$1 - 432 T + 100406 T^{2} - 12869712 T^{3} + 887503681 T^{4}$$)($$1 - 362 T + 73043 T^{2} - 10784342 T^{3} + 887503681 T^{4}$$)($$1 - 132 T + 52638 T^{2} - 3932412 T^{3} + 887503681 T^{4}$$)($$1 - 40 T - 13890 T^{2} - 1191640 T^{3} + 887503681 T^{4}$$)($$1 + 520 T + 125837 T^{2} + 15491320 T^{3} + 887503681 T^{4}$$)($$1 - 92 T + 48873 T^{2} - 2740772 T^{3} + 887503681 T^{4}$$)($$1 - 360 T + 91477 T^{2} - 10724760 T^{3} + 887503681 T^{4}$$)($$1 + 384 T + 92918 T^{2} + 11439744 T^{3} + 887503681 T^{4}$$)($$1 + 252 T + 74910 T^{2} + 7507332 T^{3} + 887503681 T^{4}$$)($$1 - 104 T + 57286 T^{2} - 3098264 T^{3} + 887503681 T^{4}$$)($$1 + 95 T + 79372 T^{2} + 5648467 T^{3} + 2364571252 T^{4} + 84312849695 T^{5} + 26439622160671 T^{6}$$)($$1 - 131 T + 41504 T^{2} - 3648635 T^{3} + 1236445664 T^{4} - 116262982211 T^{5} + 26439622160671 T^{6}$$)($$1 - 95 T + 79372 T^{2} - 5648467 T^{3} + 2364571252 T^{4} - 84312849695 T^{5} + 26439622160671 T^{6}$$)($$1 + 131 T + 41504 T^{2} + 3648635 T^{3} + 1236445664 T^{4} + 116262982211 T^{5} + 26439622160671 T^{6}$$)($$1 - 400 T + 171340 T^{2} - 38254288 T^{3} + 8472479270 T^{4} - 1139633493808 T^{5} + 152064880702540 T^{6} - 10575848864268400 T^{7} + 787662783788549761 T^{8}$$)($$1 + 48 T + 75532 T^{2} - 1415952 T^{3} + 2535445158 T^{4} - 42182626032 T^{5} + 67034928033292 T^{6} + 1269101863712208 T^{7} + 787662783788549761 T^{8}$$)($$1 + 238 T + 40396 T^{2} + 4512200 T^{3} + 466839125 T^{4} + 134422950200 T^{5} + 35851598697676 T^{6} + 6292630074239698 T^{7} + 787662783788549761 T^{8}$$)($$1 + 48 T + 61260 T^{2} + 6694896 T^{3} + 2155682342 T^{4} + 199447646736 T^{5} + 54368475498060 T^{6} + 1269101863712208 T^{7} + 787662783788549761 T^{8}$$)($$1 - 48 T + 61260 T^{2} - 6694896 T^{3} + 2155682342 T^{4} - 199447646736 T^{5} + 54368475498060 T^{6} - 1269101863712208 T^{7} + 787662783788549761 T^{8}$$)($$1 - 238 T + 40396 T^{2} - 4512200 T^{3} + 466839125 T^{4} - 134422950200 T^{5} + 35851598697676 T^{6} - 6292630074239698 T^{7} + 787662783788549761 T^{8}$$)($$1 - 48 T + 75532 T^{2} + 1415952 T^{3} + 2535445158 T^{4} + 42182626032 T^{5} + 67034928033292 T^{6} - 1269101863712208 T^{7} + 787662783788549761 T^{8}$$)($$1 + 400 T + 171340 T^{2} + 38254288 T^{3} + 8472479270 T^{4} + 1139633493808 T^{5} + 152064880702540 T^{6} + 10575848864268400 T^{7} + 787662783788549761 T^{8}$$)
$37$ ($$1 + 34 T + 50653 T^{2}$$)($$1 - 258 T + 50653 T^{2}$$)($$1 - 352 T + 50653 T^{2}$$)($$1 + 178 T + 50653 T^{2}$$)($$1 - 254 T + 50653 T^{2}$$)($$1 + 145 T + 50653 T^{2}$$)($$1 + 30 T + 50653 T^{2}$$)($$1 + 86 T + 50653 T^{2}$$)($$1 + 316 T + 50653 T^{2}$$)($$1 + 213 T + 50653 T^{2}$$)($$1 + 306 T + 50653 T^{2}$$)($$1 + 246 T + 50653 T^{2}$$)($$1 + 222 T + 50653 T^{2}$$)($$1 + 114 T + 50653 T^{2}$$)($$1 + 4 T + 50653 T^{2}$$)($$1 + 318 T + 50653 T^{2}$$)($$1 - 44 T + 50653 T^{2}$$)($$1 - 398 T + 50653 T^{2}$$)($$1 + 162 T + 50653 T^{2}$$)($$1 + 162 T + 50653 T^{2}$$)($$1 - 44 T + 50653 T^{2}$$)($$1 - 158 T + 50653 T^{2}$$)($$1 - 30 T + 50653 T^{2}$$)($$1 + 318 T + 50653 T^{2}$$)($$1 + 4 T + 50653 T^{2}$$)($$1 + 222 T + 50653 T^{2}$$)($$1 - 398 T + 50653 T^{2}$$)($$1 + 290 T + 50653 T^{2}$$)($$1 + 213 T + 50653 T^{2}$$)($$1 + 316 T + 50653 T^{2}$$)($$1 + 30 T + 50653 T^{2}$$)($$1 + 145 T + 50653 T^{2}$$)($$1 - 352 T + 50653 T^{2}$$)($$1 - 94 T + 50653 T^{2}$$)($$1 - 258 T + 50653 T^{2}$$)($$1 + 150 T + 50653 T^{2}$$)($$1 + 226 T + 50653 T^{2}$$)($$1 + 248 T + 112074 T^{2} + 12561944 T^{3} + 2565726409 T^{4}$$)($$1 - 224 T + 108918 T^{2} - 11346272 T^{3} + 2565726409 T^{4}$$)($$1 - 536 T + 159018 T^{2} - 27150008 T^{3} + 2565726409 T^{4}$$)($$1 + 53 T + 101882 T^{2} + 2684609 T^{3} + 2565726409 T^{4}$$)($$1 + 173 T + 62490 T^{2} + 8762969 T^{3} + 2565726409 T^{4}$$)($$1 - 7 T + 74082 T^{2} - 354571 T^{3} + 2565726409 T^{4}$$)($$1 - 504 T + 163462 T^{2} - 25529112 T^{3} + 2565726409 T^{4}$$)($$1 - 320 T + 90294 T^{2} - 16208960 T^{3} + 2565726409 T^{4}$$)($$1 + 5 T + 3606 T^{2} + 253265 T^{3} + 2565726409 T^{4}$$)($$1 + 280 T + 56106 T^{2} + 14182840 T^{3} + 2565726409 T^{4}$$)($$1 + 24 T - 18202 T^{2} + 1215672 T^{3} + 2565726409 T^{4}$$)($$1 + 280 T + 56106 T^{2} + 14182840 T^{3} + 2565726409 T^{4}$$)($$1 + 5 T + 3606 T^{2} + 253265 T^{3} + 2565726409 T^{4}$$)($$1 - 320 T + 90294 T^{2} - 16208960 T^{3} + 2565726409 T^{4}$$)($$1 + 248 T + 98214 T^{2} + 12561944 T^{3} + 2565726409 T^{4}$$)($$1 - 7 T + 74082 T^{2} - 354571 T^{3} + 2565726409 T^{4}$$)($$1 + 173 T + 62490 T^{2} + 8762969 T^{3} + 2565726409 T^{4}$$)($$1 + 53 T + 101882 T^{2} + 2684609 T^{3} + 2565726409 T^{4}$$)($$1 - 536 T + 159018 T^{2} - 27150008 T^{3} + 2565726409 T^{4}$$)($$1 - 224 T + 108918 T^{2} - 11346272 T^{3} + 2565726409 T^{4}$$)($$1 + 248 T + 112074 T^{2} + 12561944 T^{3} + 2565726409 T^{4}$$)($$1 - 262 T + 166048 T^{2} - 26591324 T^{3} + 8410829344 T^{4} - 672220319158 T^{5} + 129961739795077 T^{6}$$)($$1 + 326 T + 146712 T^{2} + 33007960 T^{3} + 7431402936 T^{4} + 836426809334 T^{5} + 129961739795077 T^{6}$$)($$1 - 262 T + 166048 T^{2} - 26591324 T^{3} + 8410829344 T^{4} - 672220319158 T^{5} + 129961739795077 T^{6}$$)($$1 + 326 T + 146712 T^{2} + 33007960 T^{3} + 7431402936 T^{4} + 836426809334 T^{5} + 129961739795077 T^{6}$$)($$1 + 304 T + 169172 T^{2} + 40635984 T^{3} + 11843462518 T^{4} + 2058334497552 T^{5} + 434049068063348 T^{6} + 39508368897703408 T^{7} + 6582952005840035281 T^{8}$$)($$1 - 256 T + 66772 T^{2} + 2259200 T^{3} + 153679222 T^{4} + 114435257600 T^{5} + 171318683781748 T^{6} - 33270205387539712 T^{7} + 6582952005840035281 T^{8}$$)($$1 - 562 T + 218917 T^{2} - 51298938 T^{3} + 12421701936 T^{4} - 2598445106514 T^{5} + 561681128279053 T^{6} - 73038497764833274 T^{7} + 6582952005840035281 T^{8}$$)($$1 - 48 T + 107220 T^{2} + 3877040 T^{3} + 5733855606 T^{4} + 196383707120 T^{5} + 275097185572980 T^{6} - 6238163510163696 T^{7} + 6582952005840035281 T^{8}$$)($$1 - 48 T + 107220 T^{2} + 3877040 T^{3} + 5733855606 T^{4} + 196383707120 T^{5} + 275097185572980 T^{6} - 6238163510163696 T^{7} + 6582952005840035281 T^{8}$$)($$1 - 562 T + 218917 T^{2} - 51298938 T^{3} + 12421701936 T^{4} - 2598445106514 T^{5} + 561681128279053 T^{6} - 73038497764833274 T^{7} + 6582952005840035281 T^{8}$$)($$1 - 256 T + 66772 T^{2} + 2259200 T^{3} + 153679222 T^{4} + 114435257600 T^{5} + 171318683781748 T^{6} - 33270205387539712 T^{7} + 6582952005840035281 T^{8}$$)($$1 + 304 T + 169172 T^{2} + 40635984 T^{3} + 11843462518 T^{4} + 2058334497552 T^{5} + 434049068063348 T^{6} + 39508368897703408 T^{7} + 6582952005840035281 T^{8}$$)
$41$ ($$1 + 6 T + 68921 T^{2}$$)($$1 + 68921 T^{2}$$)($$1 - 296 T + 68921 T^{2}$$)($$1 + 378 T + 68921 T^{2}$$)($$1 + 42 T + 68921 T^{2}$$)($$1 - 126 T + 68921 T^{2}$$)($$1 - 216 T + 68921 T^{2}$$)($$1 + 160 T + 68921 T^{2}$$)($$1 - 360 T + 68921 T^{2}$$)($$1 + 94 T + 68921 T^{2}$$)($$1 + 50 T + 68921 T^{2}$$)($$1 - 248 T + 68921 T^{2}$$)($$1 - 420 T + 68921 T^{2}$$)($$1 + 202 T + 68921 T^{2}$$)($$1 + 16 T + 68921 T^{2}$$)($$1 + 192 T + 68921 T^{2}$$)($$1 - 168 T + 68921 T^{2}$$)($$1 - 318 T + 68921 T^{2}$$)($$1 + 270 T + 68921 T^{2}$$)($$1 - 270 T + 68921 T^{2}$$)($$1 + 168 T + 68921 T^{2}$$)($$1 - 390 T + 68921 T^{2}$$)($$1 + 282 T + 68921 T^{2}$$)($$1 - 192 T + 68921 T^{2}$$)($$1 - 16 T + 68921 T^{2}$$)($$1 + 420 T + 68921 T^{2}$$)($$1 + 462 T + 68921 T^{2}$$)($$1 - 374 T + 68921 T^{2}$$)($$1 - 94 T + 68921 T^{2}$$)($$1 + 360 T + 68921 T^{2}$$)($$1 + 216 T + 68921 T^{2}$$)($$1 + 126 T + 68921 T^{2}$$)($$1 + 296 T + 68921 T^{2}$$)($$1 - 478 T + 68921 T^{2}$$)($$1 + 68921 T^{2}$$)($$1 + 172 T + 68921 T^{2}$$)($$1 + 90 T + 68921 T^{2}$$)($$1 + 20 T + 42020 T^{2} + 1378420 T^{3} + 4750104241 T^{4}$$)($$1 + 438 T + 113330 T^{2} + 30187398 T^{3} + 4750104241 T^{4}$$)($$1 + 756 T + 278276 T^{2} + 52104276 T^{3} + 4750104241 T^{4}$$)($$1 - 170 T + 104162 T^{2} - 11716570 T^{3} + 4750104241 T^{4}$$)($$1 + 174 T - 2846 T^{2} + 11992254 T^{3} + 4750104241 T^{4}$$)($$1 + 426 T + 171106 T^{2} + 29360346 T^{3} + 4750104241 T^{4}$$)($$1 - 102 T + 99666 T^{2} - 7029942 T^{3} + 4750104241 T^{4}$$)($$1 - 18 T + 67298 T^{2} - 1240578 T^{3} + 4750104241 T^{4}$$)($$1 + 162 T + 128770 T^{2} + 11165202 T^{3} + 4750104241 T^{4}$$)($$1 - 36 T + 105908 T^{2} - 2481156 T^{3} + 4750104241 T^{4}$$)($$1 + 694 T + 243914 T^{2} + 47831174 T^{3} + 4750104241 T^{4}$$)($$1 + 36 T + 105908 T^{2} + 2481156 T^{3} + 4750104241 T^{4}$$)($$1 - 162 T + 128770 T^{2} - 11165202 T^{3} + 4750104241 T^{4}$$)($$1 + 18 T + 67298 T^{2} + 1240578 T^{3} + 4750104241 T^{4}$$)($$1 - 450 T + 175642 T^{2} - 31014450 T^{3} + 4750104241 T^{4}$$)($$1 - 426 T + 171106 T^{2} - 29360346 T^{3} + 4750104241 T^{4}$$)($$1 - 174 T - 2846 T^{2} - 11992254 T^{3} + 4750104241 T^{4}$$)($$1 + 170 T + 104162 T^{2} + 11716570 T^{3} + 4750104241 T^{4}$$)($$1 - 756 T + 278276 T^{2} - 52104276 T^{3} + 4750104241 T^{4}$$)($$1 - 438 T + 113330 T^{2} - 30187398 T^{3} + 4750104241 T^{4}$$)($$1 - 20 T + 42020 T^{2} - 1378420 T^{3} + 4750104241 T^{4}$$)($$1 + 244 T + 187983 T^{2} + 33933832 T^{3} + 12955976343 T^{4} + 1159025434804 T^{5} + 327381934393961 T^{6}$$)($$1 + 516 T + 211167 T^{2} + 56124328 T^{3} + 14553840807 T^{4} + 2451053788356 T^{5} + 327381934393961 T^{6}$$)($$1 - 244 T + 187983 T^{2} - 33933832 T^{3} + 12955976343 T^{4} - 1159025434804 T^{5} + 327381934393961 T^{6}$$)($$1 - 516 T + 211167 T^{2} - 56124328 T^{3} + 14553840807 T^{4} - 2451053788356 T^{5} + 327381934393961 T^{6}$$)($$1 - 152 T + 250232 T^{2} - 28847096 T^{3} + 25157924114 T^{4} - 1988170703416 T^{5} + 1188628084433912 T^{6} - 49762054027882072 T^{7} + 22563490300366186081 T^{8}$$)($$1 - 1008 T + 609784 T^{2} - 250033968 T^{3} + 76165467474 T^{4} - 17232591108528 T^{5} + 2896537564493944 T^{6} - 330000989869112688 T^{7} + 22563490300366186081 T^{8}$$)($$1 - 428 T + 234552 T^{2} - 51690756 T^{3} + 18963959182 T^{4} - 3562578594276 T^{5} + 1114146449935032 T^{6} - 140119467920615308 T^{7} + 22563490300366186081 T^{8}$$)($$1 - 72 T + 132408 T^{2} - 25735656 T^{3} + 8640420370 T^{4} - 1773727147176 T^{5} + 628951802342328 T^{6} - 23571499276365192 T^{7} + 22563490300366186081 T^{8}$$)($$1 + 72 T + 132408 T^{2} + 25735656 T^{3} + 8640420370 T^{4} + 1773727147176 T^{5} + 628951802342328 T^{6} + 23571499276365192 T^{7} + 22563490300366186081 T^{8}$$)($$1 + 428 T + 234552 T^{2} + 51690756 T^{3} + 18963959182 T^{4} + 3562578594276 T^{5} + 1114146449935032 T^{6} + 140119467920615308 T^{7} + 22563490300366186081 T^{8}$$)($$1 + 1008 T + 609784 T^{2} + 250033968 T^{3} + 76165467474 T^{4} + 17232591108528 T^{5} + 2896537564493944 T^{6} + 330000989869112688 T^{7} + 22563490300366186081 T^{8}$$)($$1 + 152 T + 250232 T^{2} + 28847096 T^{3} + 25157924114 T^{4} + 1988170703416 T^{5} + 1188628084433912 T^{6} + 49762054027882072 T^{7} + 22563490300366186081 T^{8}$$)
$43$ ($$1 + 164 T + 79507 T^{2}$$)($$1 + 156 T + 79507 T^{2}$$)($$1 + 158 T + 79507 T^{2}$$)($$1 - 172 T + 79507 T^{2}$$)($$1 - 52 T + 79507 T^{2}$$)($$1 - 325 T + 79507 T^{2}$$)($$1 - 164 T + 79507 T^{2}$$)($$1 - 220 T + 79507 T^{2}$$)($$1 + 26 T + 79507 T^{2}$$)($$1 - 67 T + 79507 T^{2}$$)($$1 + 20 T + 79507 T^{2}$$)($$1 + 68 T + 79507 T^{2}$$)($$1 - 164 T + 79507 T^{2}$$)($$1 + 116 T + 79507 T^{2}$$)($$1 - 330 T + 79507 T^{2}$$)($$1 + 220 T + 79507 T^{2}$$)($$1 + 326 T + 79507 T^{2}$$)($$1 - 268 T + 79507 T^{2}$$)($$1 - 324 T + 79507 T^{2}$$)($$1 - 324 T + 79507 T^{2}$$)($$1 + 326 T + 79507 T^{2}$$)($$1 - 508 T + 79507 T^{2}$$)($$1 + 4 T + 79507 T^{2}$$)($$1 + 220 T + 79507 T^{2}$$)($$1 - 330 T + 79507 T^{2}$$)($$1 - 164 T + 79507 T^{2}$$)($$1 + 212 T + 79507 T^{2}$$)($$1 + 164 T + 79507 T^{2}$$)($$1 - 67 T + 79507 T^{2}$$)($$1 + 26 T + 79507 T^{2}$$)($$1 - 164 T + 79507 T^{2}$$)($$1 - 325 T + 79507 T^{2}$$)($$1 + 158 T + 79507 T^{2}$$)($$1 - 316 T + 79507 T^{2}$$)($$1 + 156 T + 79507 T^{2}$$)($$1 + 164 T + 79507 T^{2}$$)($$1 + 452 T + 79507 T^{2}$$)($$1 - 720 T + 268614 T^{2} - 57245040 T^{3} + 6321363049 T^{4}$$)($$( 1 - 388 T + 79507 T^{2} )^{2}$$)($$1 + 400 T + 142566 T^{2} + 31802800 T^{3} + 6321363049 T^{4}$$)($$1 + 403 T + 107580 T^{2} + 32041321 T^{3} + 6321363049 T^{4}$$)($$1 - 497 T + 174468 T^{2} - 39514979 T^{3} + 6321363049 T^{4}$$)($$1 - 107 T + 86220 T^{2} - 8507249 T^{3} + 6321363049 T^{4}$$)($$1 + 296 T + 94646 T^{2} + 23534072 T^{3} + 6321363049 T^{4}$$)($$( 1 + 188 T + 79507 T^{2} )^{2}$$)($$1 + 721 T + 288540 T^{2} + 57324547 T^{3} + 6321363049 T^{4}$$)($$1 - 128 T - 2778 T^{2} - 10176896 T^{3} + 6321363049 T^{4}$$)($$1 - 584 T + 232950 T^{2} - 46432088 T^{3} + 6321363049 T^{4}$$)($$1 - 128 T - 2778 T^{2} - 10176896 T^{3} + 6321363049 T^{4}$$)($$1 + 721 T + 288540 T^{2} + 57324547 T^{3} + 6321363049 T^{4}$$)($$( 1 + 188 T + 79507 T^{2} )^{2}$$)($$1 + 376 T + 161526 T^{2} + 29894632 T^{3} + 6321363049 T^{4}$$)($$1 - 107 T + 86220 T^{2} - 8507249 T^{3} + 6321363049 T^{4}$$)($$1 - 497 T + 174468 T^{2} - 39514979 T^{3} + 6321363049 T^{4}$$)($$1 + 403 T + 107580 T^{2} + 32041321 T^{3} + 6321363049 T^{4}$$)($$1 + 400 T + 142566 T^{2} + 31802800 T^{3} + 6321363049 T^{4}$$)($$( 1 - 388 T + 79507 T^{2} )^{2}$$)($$1 - 720 T + 268614 T^{2} - 57245040 T^{3} + 6321363049 T^{4}$$)($$1 + 360 T + 166158 T^{2} + 38975294 T^{3} + 13210724106 T^{4} + 2275690697640 T^{5} + 502592611936843 T^{6}$$)($$1 + 36 T + 97410 T^{2} - 1479718 T^{3} + 7744776870 T^{4} + 227569069764 T^{5} + 502592611936843 T^{6}$$)($$1 + 360 T + 166158 T^{2} + 38975294 T^{3} + 13210724106 T^{4} + 2275690697640 T^{5} + 502592611936843 T^{6}$$)($$1 + 36 T + 97410 T^{2} - 1479718 T^{3} + 7744776870 T^{4} + 227569069764 T^{5} + 502592611936843 T^{6}$$)($$1 + 160 T + 147340 T^{2} + 16282528 T^{3} + 15975380470 T^{4} + 1294574953696 T^{5} + 931389631639660 T^{6} + 80414817909894880 T^{7} + 39959630797262576401 T^{8}$$)($$1 - 112 T + 246988 T^{2} - 11722480 T^{3} + 25842449782 T^{4} - 932019217360 T^{5} + 1561300816746412 T^{6} - 56290372536926416 T^{7} + 39959630797262576401 T^{8}$$)($$1 - 258 T + 138485 T^{2} - 14865486 T^{3} + 6723608208 T^{4} - 1181910195402 T^{5} + 875413961840765 T^{6} - 129668893879705494 T^{7} + 39959630797262576401 T^{8}$$)($$1 + 512 T + 336396 T^{2} + 105348608 T^{3} + 39800861942 T^{4} + 8375951776256 T^{5} + 2126481244231404 T^{6} + 257327417311663616 T^{7} + 39959630797262576401 T^{8}$$)($$1 + 512 T + 336396 T^{2} + 105348608 T^{3} + 39800861942 T^{4} + 8375951776256 T^{5} + 2126481244231404 T^{6} + 257327417311663616 T^{7} + 39959630797262576401 T^{8}$$)($$1 - 258 T + 138485 T^{2} - 14865486 T^{3} + 6723608208 T^{4} - 1181910195402 T^{5} + 875413961840765 T^{6} - 129668893879705494 T^{7} + 39959630797262576401 T^{8}$$)($$1 - 112 T + 246988 T^{2} - 11722480 T^{3} + 25842449782 T^{4} - 932019217360 T^{5} + 1561300816746412 T^{6} - 56290372536926416 T^{7} + 39959630797262576401 T^{8}$$)($$1 + 160 T + 147340 T^{2} + 16282528 T^{3} + 15975380470 T^{4} + 1294574953696 T^{5} + 931389631639660 T^{6} + 80414817909894880 T^{7} + 39959630797262576401 T^{8}$$)
$47$ ($$1 - 168 T + 103823 T^{2}$$)($$1 + 408 T + 103823 T^{2}$$)($$1 + 142 T + 103823 T^{2}$$)($$1 + 192 T + 103823 T^{2}$$)($$1 + 96 T + 103823 T^{2}$$)($$1 - 366 T + 103823 T^{2}$$)($$1 - 520 T + 103823 T^{2}$$)($$1 - 308 T + 103823 T^{2}$$)($$1 - 30 T + 103823 T^{2}$$)($$1 - 278 T + 103823 T^{2}$$)($$1 + 176 T + 103823 T^{2}$$)($$1 - 324 T + 103823 T^{2}$$)($$1 + 488 T + 103823 T^{2}$$)($$1 - 224 T + 103823 T^{2}$$)($$1 + 298 T + 103823 T^{2}$$)($$1 + 184 T + 103823 T^{2}$$)($$1 + 138 T + 103823 T^{2}$$)($$1 - 240 T + 103823 T^{2}$$)($$1 - 72 T + 103823 T^{2}$$)($$1 + 72 T + 103823 T^{2}$$)($$1 - 138 T + 103823 T^{2}$$)($$1 + 528 T + 103823 T^{2}$$)($$1 - 240 T + 103823 T^{2}$$)($$1 - 184 T + 103823 T^{2}$$)($$1 - 298 T + 103823 T^{2}$$)($$1 - 488 T + 103823 T^{2}$$)($$1 + 264 T + 103823 T^{2}$$)($$1 - 464 T + 103823 T^{2}$$)($$1 + 278 T + 103823 T^{2}$$)($$1 + 30 T + 103823 T^{2}$$)($$1 + 520 T + 103823 T^{2}$$)($$1 + 366 T + 103823 T^{2}$$)($$1 - 142 T + 103823 T^{2}$$)($$1 - 256 T + 103823 T^{2}$$)($$1 - 408 T + 103823 T^{2}$$)($$1 + 460 T + 103823 T^{2}$$)($$1 - 432 T + 103823 T^{2}$$)($$1 + 96 T + 84950 T^{2} + 9967008 T^{3} + 10779215329 T^{4}$$)($$1 + 240 T + 81758 T^{2} + 24917520 T^{3} + 10779215329 T^{4}$$)($$1 - 312 T + 222182 T^{2} - 32392776 T^{3} + 10779215329 T^{4}$$)($$1 - 368 T + 77882 T^{2} - 38206864 T^{3} + 10779215329 T^{4}$$)($$1 - 180 T + 182914 T^{2} - 18688140 T^{3} + 10779215329 T^{4}$$)($$1 + 576 T + 242170 T^{2} + 59802048 T^{3} + 10779215329 T^{4}$$)($$1 + 780 T + 326046 T^{2} + 80981940 T^{3} + 10779215329 T^{4}$$)($$1 - 240 T + 193118 T^{2} - 24917520 T^{3} + 10779215329 T^{4}$$)($$1 - 216 T + 156778 T^{2} - 22425768 T^{3} + 10779215329 T^{4}$$)($$1 - 264 T - 3418 T^{2} - 27409272 T^{3} + 10779215329 T^{4}$$)($$1 + 316 T + 231902 T^{2} + 32808068 T^{3} + 10779215329 T^{4}$$)($$1 + 264 T - 3418 T^{2} + 27409272 T^{3} + 10779215329 T^{4}$$)($$1 + 216 T + 156778 T^{2} + 22425768 T^{3} + 10779215329 T^{4}$$)($$1 + 240 T + 193118 T^{2} + 24917520 T^{3} + 10779215329 T^{4}$$)($$1 + 12 T + 141790 T^{2} + 1245876 T^{3} + 10779215329 T^{4}$$)($$1 - 576 T + 242170 T^{2} - 59802048 T^{3} + 10779215329 T^{4}$$)($$1 + 180 T + 182914 T^{2} + 18688140 T^{3} + 10779215329 T^{4}$$)($$1 + 368 T + 77882 T^{2} + 38206864 T^{3} + 10779215329 T^{4}$$)($$1 + 312 T + 222182 T^{2} + 32392776 T^{3} + 10779215329 T^{4}$$)($$1 - 240 T + 81758 T^{2} - 24917520 T^{3} + 10779215329 T^{4}$$)($$1 - 96 T + 84950 T^{2} - 9967008 T^{3} + 10779215329 T^{4}$$)($$1 + 210 T + 64953 T^{2} + 48724788 T^{3} + 6743615319 T^{4} + 2263635219090 T^{5} + 1119130473102767 T^{6}$$)($$1 - 126 T + 161529 T^{2} - 37845548 T^{3} + 16770425367 T^{4} - 1358181131454 T^{5} + 1119130473102767 T^{6}$$)($$1 - 210 T + 64953 T^{2} - 48724788 T^{3} + 6743615319 T^{4} - 2263635219090 T^{5} + 1119130473102767 T^{6}$$)($$1 + 126 T + 161529 T^{2} + 37845548 T^{3} + 16770425367 T^{4} + 1358181131454 T^{5} + 1119130473102767 T^{6}$$)($$1 - 544 T + 378668 T^{2} - 154041760 T^{3} + 58194085286 T^{4} - 15993077648480 T^{5} + 4081743910201772 T^{6} - 608806977367905248 T^{7} +$$$$11\!\cdots\!41$$$$T^{8}$$)($$1 + 864 T + 642220 T^{2} + 282465504 T^{3} + 110627505318 T^{4} + 29326416021792 T^{5} + 6922627668590380 T^{6} + 966928728760790688 T^{7} +$$$$11\!\cdots\!41$$$$T^{8}$$)($$1 - 80 T + 79044 T^{2} - 6436176 T^{3} + 18721328134 T^{4} - 668223100848 T^{5} + 852032296465476 T^{6} - 89530437848221360 T^{7} +$$$$11\!\cdots\!41$$$$T^{8}$$)($$1 + 160 T + 326572 T^{2} + 48645664 T^{3} + 47161260198 T^{4} + 5050538773472 T^{5} + 3520189908422188 T^{6} + 179060875696442720 T^{7} +$$$$11\!\cdots\!41$$$$T^{8}$$)($$1 - 160 T + 326572 T^{2} - 48645664 T^{3} + 47161260198 T^{4} - 5050538773472 T^{5} + 3520189908422188 T^{6} - 179060875696442720 T^{7} +$$$$11\!\cdots\!41$$$$T^{8}$$)($$1 + 80 T + 79044 T^{2} + 6436176 T^{3} + 18721328134 T^{4} + 668223100848 T^{5} + 852032296465476 T^{6} + 89530437848221360 T^{7} +$$$$11\!\cdots\!41$$$$T^{8}$$)($$1 - 864 T + 642220 T^{2} - 282465504 T^{3} + 110627505318 T^{4} - 29326416021792 T^{5} + 6922627668590380 T^{6} - 966928728760790688 T^{7} +$$$$11\!\cdots\!41$$$$T^{8}$$)($$1 + 544 T + 378668 T^{2} + 154041760 T^{3} + 58194085286 T^{4} + 15993077648480 T^{5} + 4081743910201772 T^{6} + 608806977367905248 T^{7} +$$$$11\!\cdots\!41$$$$T^{8}$$)
$53$ ($$1 - 654 T + 148877 T^{2}$$)($$1 + 722 T + 148877 T^{2}$$)($$1 + 375 T + 148877 T^{2}$$)($$1 + 402 T + 148877 T^{2}$$)($$1 - 198 T + 148877 T^{2}$$)($$1 + 768 T + 148877 T^{2}$$)($$1 + 146 T + 148877 T^{2}$$)($$1 - 258 T + 148877 T^{2}$$)($$1 - 363 T + 148877 T^{2}$$)($$1 + 400 T + 148877 T^{2}$$)($$1 - 526 T + 148877 T^{2}$$)($$1 - 258 T + 148877 T^{2}$$)($$1 - 478 T + 148877 T^{2}$$)($$1 + 274 T + 148877 T^{2}$$)($$1 + 717 T + 148877 T^{2}$$)($$1 + 498 T + 148877 T^{2}$$)($$1 - 639 T + 148877 T^{2}$$)($$1 + 498 T + 148877 T^{2}$$)($$1 + 22 T + 148877 T^{2}$$)($$1 + 22 T + 148877 T^{2}$$)($$1 - 639 T + 148877 T^{2}$$)($$1 - 606 T + 148877 T^{2}$$)($$1 + 130 T + 148877 T^{2}$$)($$1 + 498 T + 148877 T^{2}$$)($$1 + 717 T + 148877 T^{2}$$)($$1 - 478 T + 148877 T^{2}$$)($$1 + 162 T + 148877 T^{2}$$)($$1 + 162 T + 148877 T^{2}$$)($$1 + 400 T + 148877 T^{2}$$)($$1 - 363 T + 148877 T^{2}$$)($$1 + 146 T + 148877 T^{2}$$)($$1 + 768 T + 148877 T^{2}$$)($$1 + 375 T + 148877 T^{2}$$)($$1 + 66 T + 148877 T^{2}$$)($$1 + 722 T + 148877 T^{2}$$)($$1 + 190 T + 148877 T^{2}$$)($$1 - 414 T + 148877 T^{2}$$)($$1 - 268 T + 56510 T^{2} - 39899036 T^{3} + 22164361129 T^{4}$$)($$1 - 1080 T + 584422 T^{2} - 160787160 T^{3} + 22164361129 T^{4}$$)($$1 + 52 T + 241982 T^{2} + 7741604 T^{3} + 22164361129 T^{4}$$)($$1 - 697 T + 416050 T^{2} - 103767269 T^{3} + 22164361129 T^{4}$$)($$1 - 285 T + 224566 T^{2} - 42429945 T^{3} + 22164361129 T^{4}$$)($$1 + 243 T + 309490 T^{2} + 36177111 T^{3} + 22164361129 T^{4}$$)($$1 - 192 T + 197782 T^{2} - 28584384 T^{3} + 22164361129 T^{4}$$)($$1 + 72 T + 197350 T^{2} + 10719144 T^{3} + 22164361129 T^{4}$$)($$1 - 495 T + 355102 T^{2} - 73694115 T^{3} + 22164361129 T^{4}$$)($$1 - 268 T + 241982 T^{2} - 39899036 T^{3} + 22164361129 T^{4}$$)($$1 - 560 T + 369782 T^{2} - 83371120 T^{3} + 22164361129 T^{4}$$)($$1 - 268 T + 241982 T^{2} - 39899036 T^{3} + 22164361129 T^{4}$$)($$1 - 495 T + 355102 T^{2} - 73694115 T^{3} + 22164361129 T^{4}$$)($$1 + 72 T + 197350 T^{2} + 10719144 T^{3} + 22164361129 T^{4}$$)($$1 + 1104 T + 602230 T^{2} + 164360208 T^{3} + 22164361129 T^{4}$$)($$1 + 243 T + 309490 T^{2} + 36177111 T^{3} + 22164361129 T^{4}$$)($$1 - 285 T + 224566 T^{2} - 42429945 T^{3} + 22164361129 T^{4}$$)($$1 - 697 T + 416050 T^{2} - 103767269 T^{3} + 22164361129 T^{4}$$)($$1 + 52 T + 241982 T^{2} + 7741604 T^{3} + 22164361129 T^{4}$$)($$1 - 1080 T + 584422 T^{2} - 160787160 T^{3} + 22164361129 T^{4}$$)($$1 - 268 T + 56510 T^{2} - 39899036 T^{3} + 22164361129 T^{4}$$)($$1 - 393 T + 365895 T^{2} - 83847930 T^{3} + 54473349915 T^{4} - 8710593923697 T^{5} + 3299763591802133 T^{6}$$)($$1 + 385 T + 426499 T^{2} + 114813418 T^{3} + 63495891623 T^{4} + 8533279034665 T^{5} + 3299763591802133 T^{6}$$)($$1 - 393 T + 365895 T^{2} - 83847930 T^{3} + 54473349915 T^{4} - 8710593923697 T^{5} + 3299763591802133 T^{6}$$)($$1 + 385 T + 426499 T^{2} + 114813418 T^{3} + 63495891623 T^{4} + 8533279034665 T^{5} + 3299763591802133 T^{6}$$)($$1 + 1320 T + 959116 T^{2} + 462674104 T^{3} + 189646882294 T^{4} + 68881532581208 T^{5} + 21258193388601964 T^{6} + 4355687941178815560 T^{7} +$$$$49\!\cdots\!41$$$$T^{8}$$)($$1 + 648 T + 386892 T^{2} + 114656472 T^{3} + 50365144694 T^{4} + 17069711581944 T^{5} + 8575214005921068 T^{6} + 2138246807487782184 T^{7} +$$$$49\!\cdots\!41$$$$T^{8}$$)($$1 + 460199 T^{2} + 3013660 T^{3} + 92692295988 T^{4} + 448664659820 T^{5} + 10200016827204671 T^{6} +$$$$49\!\cdots\!41$$$$T^{8}$$)($$1 - 536 T + 507404 T^{2} - 234466568 T^{3} + 107272884982 T^{4} - 34906679244136 T^{5} + 11246285494299116 T^{6} - 1768673285205943288 T^{7} +$$$$49\!\cdots\!41$$$$T^{8}$$)($$1 - 536 T + 507404 T^{2} - 234466568 T^{3} + 107272884982 T^{4} - 34906679244136 T^{5} + 11246285494299116 T^{6} - 1768673285205943288 T^{7} +$$$$49\!\cdots\!41$$$$T^{8}$$)($$1 + 460199 T^{2} + 3013660 T^{3} + 92692295988 T^{4} + 448664659820 T^{5} + 10200016827204671 T^{6} +$$$$49\!\cdots\!41$$$$T^{8}$$)($$1 + 648 T + 386892 T^{2} + 114656472 T^{3} + 50365144694 T^{4} + 17069711581944 T^{5} + 8575214005921068 T^{6} + 2138246807487782184 T^{7} +$$$$49\!\cdots\!41$$$$T^{8}$$)($$1 + 1320 T + 959116 T^{2} + 462674104 T^{3} + 189646882294 T^{4} + 68881532581208 T^{5} + 21258193388601964 T^{6} + 4355687941178815560 T^{7} +$$$$49\!\cdots\!41$$$$T^{8}$$)
$59$ ($$1 + 492 T + 205379 T^{2}$$)($$1 - 492 T + 205379 T^{2}$$)($$1 - 279 T + 205379 T^{2}$$)($$1 - 396 T + 205379 T^{2}$$)($$1 + 660 T + 205379 T^{2}$$)($$1 - 264 T + 205379 T^{2}$$)($$1 - 460 T + 205379 T^{2}$$)($$1 - 264 T + 205379 T^{2}$$)($$1 - 15 T + 205379 T^{2}$$)($$1 - 744 T + 205379 T^{2}$$)($$1 - 540 T + 205379 T^{2}$$)($$1 - 120 T + 205379 T^{2}$$)($$1 + 548 T + 205379 T^{2}$$)($$1 + 660 T + 205379 T^{2}$$)($$1 + 217 T + 205379 T^{2}$$)($$1 - 492 T + 205379 T^{2}$$)($$1 - 159 T + 205379 T^{2}$$)($$1 + 132 T + 205379 T^{2}$$)($$1 + 468 T + 205379 T^{2}$$)($$1 - 468 T + 205379 T^{2}$$)($$1 + 159 T + 205379 T^{2}$$)($$1 + 364 T + 205379 T^{2}$$)($$1 - 596 T + 205379 T^{2}$$)($$1 + 492 T + 205379 T^{2}$$)($$1 - 217 T + 205379 T^{2}$$)($$1 - 548 T + 205379 T^{2}$$)($$1 + 772 T + 205379 T^{2}$$)($$1 - 180 T + 205379 T^{2}$$)($$1 + 744 T + 205379 T^{2}$$)($$1 + 15 T + 205379 T^{2}$$)($$1 + 460 T + 205379 T^{2}$$)($$1 + 264 T + 205379 T^{2}$$)($$1 + 279 T + 205379 T^{2}$$)($$1 - 420 T + 205379 T^{2}$$)($$1 + 492 T + 205379 T^{2}$$)($$1 - 96 T + 205379 T^{2}$$)($$1 + 684 T + 205379 T^{2}$$)($$1 + 616 T + 403470 T^{2} + 126513464 T^{3} + 42180533641 T^{4}$$)($$1 - 312 T + 400022 T^{2} - 64078248 T^{3} + 42180533641 T^{4}$$)($$1 - 864 T + 596990 T^{2} - 177447456 T^{3} + 42180533641 T^{4}$$)($$1 + 585 T + 404278 T^{2} + 120146715 T^{3} + 42180533641 T^{4}$$)($$1 + 1269 T + 812194 T^{2} + 260625951 T^{3} + 42180533641 T^{4}$$)($$1 - 7 T + 200614 T^{2} - 1437653 T^{3} + 42180533641 T^{4}$$)($$1 - 212 T + 355942 T^{2} - 43540348 T^{3} + 42180533641 T^{4}$$)($$1 + 552 T + 371222 T^{2} + 113369208 T^{3} + 42180533641 T^{4}$$)($$1 + 173 T + 282706 T^{2} + 35530567 T^{3} + 42180533641 T^{4}$$)($$1 + 336 T + 261374 T^{2} + 69007344 T^{3} + 42180533641 T^{4}$$)($$1 + 492 T + 351622 T^{2} + 101046468 T^{3} + 42180533641 T^{4}$$)($$1 - 336 T + 261374 T^{2} - 69007344 T^{3} + 42180533641 T^{4}$$)($$1 - 173 T + 282706 T^{2} - 35530567 T^{3} + 42180533641 T^{4}$$)($$1 - 552 T + 371222 T^{2} - 113369208 T^{3} + 42180533641 T^{4}$$)($$1 - 804 T + 380614 T^{2} - 165124716 T^{3} + 42180533641 T^{4}$$)($$1 + 7 T + 200614 T^{2} + 1437653 T^{3} + 42180533641 T^{4}$$)($$1 - 1269 T + 812194 T^{2} - 260625951 T^{3} + 42180533641 T^{4}$$)($$1 - 585 T + 404278 T^{2} - 120146715 T^{3} + 42180533641 T^{4}$$)($$1 + 864 T + 596990 T^{2} + 177447456 T^{3} + 42180533641 T^{4}$$)($$1 + 312 T + 400022 T^{2} + 64078248 T^{3} + 42180533641 T^{4}$$)($$1 - 616 T + 403470 T^{2} - 126513464 T^{3} + 42180533641 T^{4}$$)($$1 - 1143 T + 749241 T^{2} - 369027450 T^{3} + 153878367339 T^{4} - 48212349951663 T^{5} + 8662995818654939 T^{6}$$)($$1 + 285 T + 565605 T^{2} + 115272798 T^{3} + 116163389295 T^{4} + 12021452087685 T^{5} + 8662995818654939 T^{6}$$)($$1 + 1143 T + 749241 T^{2} + 369027450 T^{3} + 153878367339 T^{4} + 48212349951663 T^{5} + 8662995818654939 T^{6}$$)($$1 - 285 T + 565605 T^{2} - 115272798 T^{3} + 116163389295 T^{4} - 12021452087685 T^{5} + 8662995818654939 T^{6}$$)($$1 - 1040 T + 962396 T^{2} - 555546128 T^{3} + 297086579030 T^{4} - 114097508222512 T^{5} + 40594376853963836 T^{6} - 9009515651401136560 T^{7} +$$$$17\!\cdots\!81$$$$T^{8}$$)($$1 + 336 T + 534364 T^{2} + 159356496 T^{3} + 154119406422 T^{4} + 32728477791984 T^{5} + 22539758678539324 T^{6} + 2910766595068059504 T^{7} +$$$$17\!\cdots\!81$$$$T^{8}$$)($$1 + 262 T + 544965 T^{2} + 206100090 T^{3} + 137845655068 T^{4} + 42328630384110 T^{5} + 22986914515667565 T^{6} + 2269704904487594018 T^{7} +$$$$17\!\cdots\!81$$$$T^{8}$$)($$1 + 240 T + 373212 T^{2} - 28701456 T^{3} + 58936761430 T^{4} - 5894676331824 T^{5} + 15742281321224892 T^{6} + 2079118996477185360 T^{7} +$$$$17\!\cdots\!81$$$$T^{8}$$)($$1 - 240 T + 373212 T^{2} + 28701456 T^{3} + 58936761430 T^{4} + 5894676331824 T^{5} + 15742281321224892 T^{6} - 2079118996477185360 T^{7} +$$$$17\!\cdots\!81$$$$T^{8}$$)($$1 - 262 T + 544965 T^{2} - 206100090 T^{3} + 137845655068 T^{4} - 42328630384110 T^{5} + 22986914515667565 T^{6} - 2269704904487594018 T^{7} +$$$$17\!\cdots\!81$$$$T^{8}$$)($$1 - 336 T + 534364 T^{2} - 159356496 T^{3} + 154119406422 T^{4} - 32728477791984 T^{5} + 22539758678539324 T^{6} - 2910766595068059504 T^{7} +$$$$17\!\cdots\!81$$$$T^{8}$$)($$1 + 1040 T + 962396 T^{2} + 555546128 T^{3} + 297086579030 T^{4} + 114097508222512 T^{5} + 40594376853963836 T^{6} + 9009515651401136560 T^{7} +$$$$17\!\cdots\!81$$$$T^{8}$$)
$61$ ($$1 - 250 T + 226981 T^{2}$$)($$1 - 492 T + 226981 T^{2}$$)($$1 + 246 T + 226981 T^{2}$$)($$1 + 254 T + 226981 T^{2}$$)($$1 - 538 T + 226981 T^{2}$$)($$1 - 818 T + 226981 T^{2}$$)($$1 + 628 T + 226981 T^{2}$$)($$1 + 606 T + 226981 T^{2}$$)($$1 + 118 T + 226981 T^{2}$$)($$1 - 734 T + 226981 T^{2}$$)($$1 - 818 T + 226981 T^{2}$$)($$1 + 622 T + 226981 T^{2}$$)($$1 - 692 T + 226981 T^{2}$$)($$1 + 382 T + 226981 T^{2}$$)($$1 + 386 T + 226981 T^{2}$$)($$1 - 20 T + 226981 T^{2}$$)($$1 + 722 T + 226981 T^{2}$$)($$1 + 398 T + 226981 T^{2}$$)($$1 - 792 T + 226981 T^{2}$$)($$1 + 792 T + 226981 T^{2}$$)($$1 - 722 T + 226981 T^{2}$$)($$1 + 678 T + 226981 T^{2}$$)($$1 - 218 T + 226981 T^{2}$$)($$1 + 20 T + 226981 T^{2}$$)($$1 - 386 T + 226981 T^{2}$$)($$1 + 692 T + 226981 T^{2}$$)($$1 + 30 T + 226981 T^{2}$$)($$1 - 666 T + 226981 T^{2}$$)($$1 + 734 T + 226981 T^{2}$$)($$1 - 118 T + 226981 T^{2}$$)($$1 - 628 T + 226981 T^{2}$$)($$1 + 818 T + 226981 T^{2}$$)($$1 - 246 T + 226981 T^{2}$$)($$1 + 342 T + 226981 T^{2}$$)($$1 + 492 T + 226981 T^{2}$$)($$1 + 622 T + 226981 T^{2}$$)($$1 + 422 T + 226981 T^{2}$$)($$1 + 16 T + 454008 T^{2} + 3631696 T^{3} + 51520374361 T^{4}$$)($$1 - 660 T + 496554 T^{2} - 149807460 T^{3} + 51520374361 T^{4}$$)($$1 + 1416 T + 938664 T^{2} + 321405096 T^{3} + 51520374361 T^{4}$$)($$1 - 1160 T + 691382 T^{2} - 263297960 T^{3} + 51520374361 T^{4}$$)($$1 + 328 T + 314646 T^{2} + 74449768 T^{3} + 51520374361 T^{4}$$)($$1 - 224 T + 461126 T^{2} - 50843744 T^{3} + 51520374361 T^{4}$$)($$1 - 100 T + 370190 T^{2} - 22698100 T^{3} + 51520374361 T^{4}$$)($$1 + 492 T + 492330 T^{2} + 111674652 T^{3} + 51520374361 T^{4}$$)($$1 + 532 T + 447518 T^{2} + 120753892 T^{3} + 51520374361 T^{4}$$)($$1 + 504 T + 268248 T^{2} + 114398424 T^{3} + 51520374361 T^{4}$$)($$1 - 604 T + 406398 T^{2} - 137096524 T^{3} + 51520374361 T^{4}$$)($$1 - 504 T + 268248 T^{2} - 114398424 T^{3} + 51520374361 T^{4}$$)($$1 - 532 T + 447518 T^{2} - 120753892 T^{3} + 51520374361 T^{4}$$)($$1 - 492 T + 492330 T^{2} - 111674652 T^{3} + 51520374361 T^{4}$$)($$1 - 428 T + 425886 T^{2} - 97147868 T^{3} + 51520374361 T^{4}$$)($$1 + 224 T + 461126 T^{2} + 50843744 T^{3} + 51520374361 T^{4}$$)($$1 - 328 T + 314646 T^{2} - 74449768 T^{3} + 51520374361 T^{4}$$)($$1 + 1160 T + 691382 T^{2} + 263297960 T^{3} + 51520374361 T^{4}$$)($$1 - 1416 T + 938664 T^{2} - 321405096 T^{3} + 51520374361 T^{4}$$)($$1 + 660 T + 496554 T^{2} + 149807460 T^{3} + 51520374361 T^{4}$$)($$1 - 16 T + 454008 T^{2} - 3631696 T^{3} + 51520374361 T^{4}$$)($$1 - 70 T + 340043 T^{2} + 52853660 T^{3} + 77183300183 T^{4} - 3606426205270 T^{5} + 11694146092834141 T^{6}$$)($$1 + 34 T + 387547 T^{2} + 37674860 T^{3} + 87965805607 T^{4} + 1751692728274 T^{5} + 11694146092834141 T^{6}$$)($$1 + 70 T + 340043 T^{2} - 52853660 T^{3} + 77183300183 T^{4} + 3606426205270 T^{5} + 11694146092834141 T^{6}$$)($$1 - 34 T + 387547 T^{2} - 37674860 T^{3} + 87965805607 T^{4} - 1751692728274 T^{5} + 11694146092834141 T^{6}$$)($$1 + 896 T + 1188912 T^{2} + 644590848 T^{3} + 437823850738 T^{4} + 146309875269888 T^{5} + 61253191322285232 T^{6} + 10477954899179390336 T^{7} +$$$$26\!\cdots\!21$$$$T^{8}$$)($$1 - 960 T + 577728 T^{2} - 153988800 T^{3} + 52569538418 T^{4} - 34952531812800 T^{5} + 29764762838831808 T^{6} - 11226380249120775360 T^{7} +$$$$26\!\cdots\!21$$$$T^{8}$$)($$1 + 276 T + 472228 T^{2} + 230097500 T^{3} + 121196455014 T^{4} + 52227760647500 T^{5} + 24329363343746308 T^{6} + 3227584321622222916 T^{7} +$$$$26\!\cdots\!21$$$$T^{8}$$)($$1 - 896 T + 993360 T^{2} - 559778304 T^{3} + 345837093106 T^{4} - 127059039220224 T^{5} + 51178279075242960 T^{6} - 10477954899179390336 T^{7} +$$$$26\!\cdots\!21$$$$T^{8}$$)($$1 + 896 T + 993360 T^{2} + 559778304 T^{3} + 345837093106 T^{4} + 127059039220224 T^{5} + 51178279075242960 T^{6} + 10477954899179390336 T^{7} +$$$$26\!\cdots\!21$$$$T^{8}$$)($$1 - 276 T + 472228 T^{2} - 230097500 T^{3} + 121196455014 T^{4} - 52227760647500 T^{5} + 24329363343746308 T^{6} - 3227584321622222916 T^{7} +$$$$26\!\cdots\!21$$$$T^{8}$$)($$1 + 960 T + 577728 T^{2} + 153988800 T^{3} + 52569538418 T^{4} + 34952531812800 T^{5} + 29764762838831808 T^{6} + 11226380249120775360 T^{7} +$$$$26\!\cdots\!21$$$$T^{8}$$)($$1 - 896 T + 1188912 T^{2} - 644590848 T^{3} + 437823850738 T^{4} - 146309875269888 T^{5} + 61253191322285232 T^{6} - 10477954899179390336 T^{7} +$$$$26\!\cdots\!21$$$$T^{8}$$)
$67$ ($$1 - 124 T + 300763 T^{2}$$)($$1 + 412 T + 300763 T^{2}$$)($$1 - 730 T + 300763 T^{2}$$)($$1 - 1012 T + 300763 T^{2}$$)($$1 + 884 T + 300763 T^{2}$$)($$1 - 523 T + 300763 T^{2}$$)($$1 + 556 T + 300763 T^{2}$$)($$1 - 520 T + 300763 T^{2}$$)($$1 - 370 T + 300763 T^{2}$$)($$1 + 555 T + 300763 T^{2}$$)($$1 - 228 T + 300763 T^{2}$$)($$1 + 904 T + 300763 T^{2}$$)($$1 - 908 T + 300763 T^{2}$$)($$1 + 12 T + 300763 T^{2}$$)($$1 + 906 T + 300763 T^{2}$$)($$1 + 380 T + 300763 T^{2}$$)($$1 - 166 T + 300763 T^{2}$$)($$1 + 92 T + 300763 T^{2}$$)($$1 + 232 T + 300763 T^{2}$$)($$1 + 232 T + 300763 T^{2}$$)($$1 - 166 T + 300763 T^{2}$$)($$1 + 844 T + 300763 T^{2}$$)($$1 - 436 T + 300763 T^{2}$$)($$1 + 380 T + 300763 T^{2}$$)($$1 + 906 T + 300763 T^{2}$$)($$1 - 908 T + 300763 T^{2}$$)($$1 - 764 T + 300763 T^{2}$$)($$1 - 628 T + 300763 T^{2}$$)($$1 + 555 T + 300763 T^{2}$$)($$1 - 370 T + 300763 T^{2}$$)($$1 + 556 T + 300763 T^{2}$$)($$1 - 523 T + 300763 T^{2}$$)($$1 - 730 T + 300763 T^{2}$$)($$1 + 668 T + 300763 T^{2}$$)($$1 + 412 T + 300763 T^{2}$$)($$1 + 744 T + 300763 T^{2}$$)($$1 + 332 T + 300763 T^{2}$$)($$1 - 144 T + 57558 T^{2} - 43309872 T^{3} + 90458382169 T^{4}$$)($$1 - 396 T + 399062 T^{2} - 119102148 T^{3} + 90458382169 T^{4}$$)($$1 + 144 T + 550262 T^{2} + 43309872 T^{3} + 90458382169 T^{4}$$)($$1 + 233 T - 57688 T^{2} + 70077779 T^{3} + 90458382169 T^{4}$$)($$1 - 875 T + 782544 T^{2} - 263167625 T^{3} + 90458382169 T^{4}$$)($$1 + 687 T + 678832 T^{2} + 206624181 T^{3} + 90458382169 T^{4}$$)($$1 + 212 T + 611414 T^{2} + 63761756 T^{3} + 90458382169 T^{4}$$)($$1 - 540 T + 475094 T^{2} - 162412020 T^{3} + 90458382169 T^{4}$$)($$1 + 111 T + 318532 T^{2} + 33384693 T^{3} + 90458382169 T^{4}$$)($$1 - 384 T + 596918 T^{2} - 115492992 T^{3} + 90458382169 T^{4}$$)($$1 - 1020 T + 843926 T^{2} - 306778260 T^{3} + 90458382169 T^{4}$$)($$1 - 384 T + 596918 T^{2} - 115492992 T^{3} + 90458382169 T^{4}$$)($$1 + 111 T + 318532 T^{2} + 33384693 T^{3} + 90458382169 T^{4}$$)($$1 - 540 T + 475094 T^{2} - 162412020 T^{3} + 90458382169 T^{4}$$)($$1 + 148 T + 440790 T^{2} + 44512924 T^{3} + 90458382169 T^{4}$$)($$1 + 687 T + 678832 T^{2} + 206624181 T^{3} + 90458382169 T^{4}$$)($$1 - 875 T + 782544 T^{2} - 263167625 T^{3} + 90458382169 T^{4}$$)($$1 + 233 T - 57688 T^{2} + 70077779 T^{3} + 90458382169 T^{4}$$)($$1 + 144 T + 550262 T^{2} + 43309872 T^{3} + 90458382169 T^{4}$$)($$1 - 396 T + 399062 T^{2} - 119102148 T^{3} + 90458382169 T^{4}$$)($$1 - 144 T + 57558 T^{2} - 43309872 T^{3} + 90458382169 T^{4}$$)($$1 - 628 T + 597326 T^{2} - 405751330 T^{3} + 179653559738 T^{4} - 56807864002132 T^{5} + 27206534396294947 T^{6}$$)($$1 - 100 T + 755250 T^{2} - 32905634 T^{3} + 227151255750 T^{4} - 9045838216900 T^{5} + 27206534396294947 T^{6}$$)($$1 - 628 T + 597326 T^{2} - 405751330 T^{3} + 179653559738 T^{4} - 56807864002132 T^{5} + 27206534396294947 T^{6}$$)($$1 - 100 T + 755250 T^{2} - 32905634 T^{3} + 227151255750 T^{4} - 9045838216900 T^{5} + 27206534396294947 T^{6}$$)($$1 - 416 T + 995500 T^{2} - 335375264 T^{3} + 430142403478 T^{4} - 100868470526432 T^{5} + 90051319449239500 T^{6} - 11317918308858697952 T^{7} +$$$$81\!\cdots\!61$$$$T^{8}$$)($$1 + 720 T + 533740 T^{2} + 318964176 T^{3} + 154478344470 T^{4} + 95932622466288 T^{5} + 48281256898882060 T^{6} + 19588704765332361840 T^{7} +$$$$81\!\cdots\!61$$$$T^{8}$$)($$1 + 150 T + 612301 T^{2} + 160051070 T^{3} + 213928110456 T^{4} + 48137439966410 T^{5} + 55387757860460869 T^{6} + 4080980159444242050 T^{7} +$$$$81\!\cdots\!61$$$$T^{8}$$)($$1 + 1088 T + 1156908 T^{2} + 790291520 T^{3} + 491979608726 T^{4} + 237690448429760 T^{5} + 104652025998373452 T^{6} + 29600709423168902336 T^{7} +$$$$81\!\cdots\!61$$$$T^{8}$$)($$1 + 1088 T + 1156908 T^{2} + 790291520 T^{3} + 491979608726 T^{4} + 237690448429760 T^{5} + 104652025998373452 T^{6} + 29600709423168902336 T^{7} +$$$$81\!\cdots\!61$$$$T^{8}$$)($$1 + 150 T + 612301 T^{2} + 160051070 T^{3} + 213928110456 T^{4} + 48137439966410 T^{5} + 55387757860460869 T^{6} + 4080980159444242050 T^{7} +$$$$81\!\cdots\!61$$$$T^{8}$$)($$1 + 720 T + 533740 T^{2} + 318964176 T^{3} + 154478344470 T^{4} + 95932622466288 T^{5} + 48281256898882060 T^{6} + 19588704765332361840 T^{7} +$$$$81\!\cdots\!61$$$$T^{8}$$)($$1 - 416 T + 995500 T^{2} - 335375264 T^{3} + 430142403478 T^{4} - 100868470526432 T^{5} + 90051319449239500 T^{6} - 11317918308858697952 T^{7} +$$$$81\!\cdots\!61$$$$T^{8}$$)
$71$ ($$1 + 36 T + 357911 T^{2}$$)($$1 + 296 T + 357911 T^{2}$$)($$1 + 338 T + 357911 T^{2}$$)($$1 + 840 T + 357911 T^{2}$$)($$1 + 792 T + 357911 T^{2}$$)($$1 - 342 T + 357911 T^{2}$$)($$1 + 592 T + 357911 T^{2}$$)($$1 - 286 T + 357911 T^{2}$$)($$1 - 342 T + 357911 T^{2}$$)($$1 - 642 T + 357911 T^{2}$$)($$1 + 864 T + 357911 T^{2}$$)($$1 - 678 T + 357911 T^{2}$$)($$1 - 524 T + 357911 T^{2}$$)($$1 - 552 T + 357911 T^{2}$$)($$1 - 34 T + 357911 T^{2}$$)($$1 - 264 T + 357911 T^{2}$$)($$1 + 1086 T + 357911 T^{2}$$)($$1 - 720 T + 357911 T^{2}$$)($$1 - 734 T + 357911 T^{2}$$)($$1 - 734 T + 357911 T^{2}$$)($$1 + 1086 T + 357911 T^{2}$$)($$1 - 8 T + 357911 T^{2}$$)($$1 + 856 T + 357911 T^{2}$$)($$1 - 264 T + 357911 T^{2}$$)($$1 - 34 T + 357911 T^{2}$$)($$1 - 524 T + 357911 T^{2}$$)($$1 - 236 T + 357911 T^{2}$$)($$1 + 296 T + 357911 T^{2}$$)($$1 - 642 T + 357911 T^{2}$$)($$1 - 342 T + 357911 T^{2}$$)($$1 + 592 T + 357911 T^{2}$$)($$1 - 342 T + 357911 T^{2}$$)($$1 + 338 T + 357911 T^{2}$$)($$1 - 272 T + 357911 T^{2}$$)($$1 + 296 T + 357911 T^{2}$$)($$1 - 54 T + 357911 T^{2}$$)($$1 - 360 T + 357911 T^{2}$$)($$1 + 988 T + 852210 T^{2} + 353616068 T^{3} + 128100283921 T^{4}$$)($$1 + 66 T + 360574 T^{2} + 23622126 T^{3} + 128100283921 T^{4}$$)($$1 - 1524 T + 1208266 T^{2} - 545456364 T^{3} + 128100283921 T^{4}$$)($$1 + 616 T + 81466 T^{2} + 220473176 T^{3} + 128100283921 T^{4}$$)($$1 - 1404 T + 1077298 T^{2} - 502507044 T^{3} + 128100283921 T^{4}$$)($$1 + 472 T + 637018 T^{2} + 168933992 T^{3} + 128100283921 T^{4}$$)($$1 - 534 T + 746334 T^{2} - 191124474 T^{3} + 128100283921 T^{4}$$)($$1 + 858 T + 817486 T^{2} + 307087638 T^{3} + 128100283921 T^{4}$$)($$1 + 1600 T + 1262410 T^{2} + 572657600 T^{3} + 128100283921 T^{4}$$)($$1 - 396 T + 521098 T^{2} - 141732756 T^{3} + 128100283921 T^{4}$$)($$1 - 1710 T + 1336222 T^{2} - 612027810 T^{3} + 128100283921 T^{4}$$)($$1 - 396 T + 521098 T^{2} - 141732756 T^{3} + 128100283921 T^{4}$$)($$1 + 1600 T + 1262410 T^{2} + 572657600 T^{3} + 128100283921 T^{4}$$)($$1 + 858 T + 817486 T^{2} + 307087638 T^{3} + 128100283921 T^{4}$$)($$1 + 954 T + 930526 T^{2} + 341447094 T^{3} + 128100283921 T^{4}$$)($$1 + 472 T + 637018 T^{2} + 168933992 T^{3} + 128100283921 T^{4}$$)($$1 - 1404 T + 1077298 T^{2} - 502507044 T^{3} + 128100283921 T^{4}$$)($$1 + 616 T + 81466 T^{2} + 220473176 T^{3} + 128100283921 T^{4}$$)($$1 - 1524 T + 1208266 T^{2} - 545456364 T^{3} + 128100283921 T^{4}$$)($$1 + 66 T + 360574 T^{2} + 23622126 T^{3} + 128100283921 T^{4}$$)($$1 + 988 T + 852210 T^{2} + 353616068 T^{3} + 128100283921 T^{4}$$)($$1 + 318 T + 742929 T^{2} + 256167372 T^{3} + 265902461319 T^{4} + 40735890286878 T^{5} + 45848500718449031 T^{6}$$)($$1 + 34 T + 294609 T^{2} - 182711756 T^{3} + 105443801799 T^{4} + 4355409653314 T^{5} + 45848500718449031 T^{6}$$)($$1 + 318 T + 742929 T^{2} + 256167372 T^{3} + 265902461319 T^{4} + 40735890286878 T^{5} + 45848500718449031 T^{6}$$)($$1 + 34 T + 294609 T^{2} - 182711756 T^{3} + 105443801799 T^{4} + 4355409653314 T^{5} + 45848500718449031 T^{6}$$)($$1 + 248 T + 996916 T^{2} + 246307512 T^{3} + 457673544134 T^{4} + 88156167927432 T^{5} + 127705222645387636 T^{6} + 11370428178175359688 T^{7} +$$$$16\!\cdots\!41$$$$T^{8}$$)($$1 - 1344 T + 1892084 T^{2} - 1427151168 T^{3} + 1080205217862 T^{4} - 510793101690048 T^{5} + 242376497602381364 T^{6} - 61620384965595497664 T^{7} +$$$$16\!\cdots\!41$$$$T^{8}$$)($$1 - 848 T + 1353124 T^{2} - 864361552 T^{3} + 714336102950 T^{4} - 309364507437872 T^{5} + 173335568580319204 T^{6} - 38879528609244778288 T^{7} +$$$$16\!\cdots\!41$$$$T^{8}$$)($$1 + 1288 T + 1012404 T^{2} + 492746568 T^{3} + 280404439750 T^{4} + 176359416899448 T^{5} + 129689239842756084 T^{6} + 59052868925362351928 T^{7} +$$$$16\!\cdots\!41$$$$T^{8}$$)($$1 + 1288 T + 1012404 T^{2} + 492746568 T^{3} + 280404439750 T^{4} + 176359416899448 T^{5} + 129689239842756084 T^{6} + 59052868925362351928 T^{7} +$$$$16\!\cdots\!41$$$$T^{8}$$)($$1 - 848 T + 1353124 T^{2} - 864361552 T^{3} + 714336102950 T^{4} - 309364507437872 T^{5} + 173335568580319204 T^{6} - 38879528609244778288 T^{7} +$$$$16\!\cdots\!41$$$$T^{8}$$)($$1 - 1344 T + 1892084 T^{2} - 1427151168 T^{3} + 1080205217862 T^{4} - 510793101690048 T^{5} + 242376497602381364 T^{6} - 61620384965595497664 T^{7} +$$$$16\!\cdots\!41$$$$T^{8}$$)($$1 + 248 T + 996916 T^{2} + 246307512 T^{3} + 457673544134 T^{4} + 88156167927432 T^{5} + 127705222645387636 T^{6} + 11370428178175359688 T^{7} +$$$$16\!\cdots\!41$$$$T^{8}$$)
$73$ ($$1 + 1010 T + 389017 T^{2}$$)($$1 + 240 T + 389017 T^{2}$$)($$1 - 542 T + 389017 T^{2}$$)($$1 + 890 T + 389017 T^{2}$$)($$1 + 218 T + 389017 T^{2}$$)($$1 + 43 T + 389017 T^{2}$$)($$1 + 1024 T + 389017 T^{2}$$)($$1 - 530 T + 389017 T^{2}$$)($$1 - 362 T + 389017 T^{2}$$)($$1 + 973 T + 389017 T^{2}$$)($$1 + 106 T + 389017 T^{2}$$)($$1 - 642 T + 389017 T^{2}$$)($$1 - 440 T + 389017 T^{2}$$)($$1 - 614 T + 389017 T^{2}$$)($$1 - 838 T + 389017 T^{2}$$)($$1 + 560 T + 389017 T^{2}$$)($$1 + 218 T + 389017 T^{2}$$)($$1 - 502 T + 389017 T^{2}$$)($$1 - 180 T + 389017 T^{2}$$)($$1 + 180 T + 389017 T^{2}$$)($$1 - 218 T + 389017 T^{2}$$)($$1 - 422 T + 389017 T^{2}$$)($$1 - 998 T + 389017 T^{2}$$)($$1 - 560 T + 389017 T^{2}$$)($$1 + 838 T + 389017 T^{2}$$)($$1 + 440 T + 389017 T^{2}$$)($$1 + 418 T + 389017 T^{2}$$)($$1 - 518 T + 389017 T^{2}$$)($$1 - 973 T + 389017 T^{2}$$)($$1 + 362 T + 389017 T^{2}$$)($$1 - 1024 T + 389017 T^{2}$$)($$1 - 43 T + 389017 T^{2}$$)($$1 + 542 T + 389017 T^{2}$$)($$1 - 86 T + 389017 T^{2}$$)($$1 - 240 T + 389017 T^{2}$$)($$1 + 742 T + 389017 T^{2}$$)($$1 + 26 T + 389017 T^{2}$$)($$1 + 104 T + 459136 T^{2} + 40457768 T^{3} + 151334226289 T^{4}$$)($$1 + 972 T + 969842 T^{2} + 378124524 T^{3} + 151334226289 T^{4}$$)($$1 + 744 T + 241296 T^{2} + 289428648 T^{3} + 151334226289 T^{4}$$)($$1 - 817 T + 443820 T^{2} - 317826889 T^{3} + 151334226289 T^{4}$$)($$1 - 1361 T + 1184556 T^{2} - 529452137 T^{3} + 151334226289 T^{4}$$)($$1 + 921 T + 578188 T^{2} + 358284657 T^{3} + 151334226289 T^{4}$$)($$1 + 1128 T + 1062430 T^{2} + 438811176 T^{3} + 151334226289 T^{4}$$)($$1 - 900 T + 943922 T^{2} - 350115300 T^{3} + 151334226289 T^{4}$$)($$1 - 1215 T + 1011556 T^{2} - 472655655 T^{3} + 151334226289 T^{4}$$)($$1 + 312 T + 94320 T^{2} + 121373304 T^{3} + 151334226289 T^{4}$$)($$1 - 1312 T + 1201998 T^{2} - 510390304 T^{3} + 151334226289 T^{4}$$)($$1 - 312 T + 94320 T^{2} - 121373304 T^{3} + 151334226289 T^{4}$$)($$1 + 1215 T + 1011556 T^{2} + 472655655 T^{3} + 151334226289 T^{4}$$)($$1 + 900 T + 943922 T^{2} + 350115300 T^{3} + 151334226289 T^{4}$$)($$1 + 1072 T + 1063278 T^{2} + 417026224 T^{3} + 151334226289 T^{4}$$)($$1 - 921 T + 578188 T^{2} - 358284657 T^{3} + 151334226289 T^{4}$$)($$1 + 1361 T + 1184556 T^{2} + 529452137 T^{3} + 151334226289 T^{4}$$)($$1 + 817 T + 443820 T^{2} + 317826889 T^{3} + 151334226289 T^{4}$$)($$1 - 744 T + 241296 T^{2} - 289428648 T^{3} + 151334226289 T^{4}$$)($$1 - 972 T + 969842 T^{2} - 378124524 T^{3} + 151334226289 T^{4}$$)($$1 - 104 T + 459136 T^{2} - 40457768 T^{3} + 151334226289 T^{4}$$)($$1 + 988 T + 1162696 T^{2} + 625490474 T^{3} + 452308509832 T^{4} + 149518215573532 T^{5} + 58871586708267913 T^{6}$$)($$1 + 108 T + 188712 T^{2} - 325630402 T^{3} + 73412176104 T^{4} + 16344096439212 T^{5} + 58871586708267913 T^{6}$$)($$1 - 988 T + 1162696 T^{2} - 625490474 T^{3} + 452308509832 T^{4} - 149518215573532 T^{5} + 58871586708267913 T^{6}$$)($$1 - 108 T + 188712 T^{2} + 325630402 T^{3} + 73412176104 T^{4} - 16344096439212 T^{5} + 58871586708267913 T^{6}$$)($$1 - 752 T + 1272832 T^{2} - 641462384 T^{3} + 655763261282 T^{4} - 249539772236528 T^{5} + 192623045915880448 T^{6} - 44271433204617470576 T^{7} +$$$$22\!\cdots\!21$$$$T^{8}$$)($$1 - 672 T + 1088640 T^{2} - 325175712 T^{3} + 453343664738 T^{4} - 126498879955104 T^{5} + 164748492107256960 T^{6} - 39561706267956037536 T^{7} +$$$$22\!\cdots\!21$$$$T^{8}$$)($$1 + 218 T + 1524553 T^{2} + 248776730 T^{3} + 883766010100 T^{4} + 96778377174410 T^{5} + 230717048691573817 T^{6} + 12834005902402405034 T^{7} +$$$$22\!\cdots\!21$$$$T^{8}$$)($$1 - 1488 T + 1753472 T^{2} - 1533924432 T^{3} + 1040082721634 T^{4} - 596722680763344 T^{5} + 265360328439425408 T^{6} - 87600921021902654544 T^{7} +$$$$22\!\cdots\!21$$$$T^{8}$$)($$1 + 1488 T + 1753472 T^{2} + 1533924432 T^{3} + 1040082721634 T^{4} + 596722680763344 T^{5} + 265360328439425408 T^{6} + 87600921021902654544 T^{7} +$$$$22\!\cdots\!21$$$$T^{8}$$)($$1 - 218 T + 1524553 T^{2} - 248776730 T^{3} + 883766010100 T^{4} - 96778377174410 T^{5} + 230717048691573817 T^{6} - 12834005902402405034 T^{7} +$$$$22\!\cdots\!21$$$$T^{8}$$)($$1 + 672 T + 1088640 T^{2} + 325175712 T^{3} + 453343664738 T^{4} + 126498879955104 T^{5} + 164748492107256960 T^{6} + 39561706267956037536 T^{7} +$$$$22\!\cdots\!21$$$$T^{8}$$)($$1 + 752 T + 1272832 T^{2} + 641462384 T^{3} + 655763261282 T^{4} + 249539772236528 T^{5} + 192623045915880448 T^{6} + 44271433204617470576 T^{7} +$$$$22\!\cdots\!21$$$$T^{8}$$)
$79$ ($$1 + 56 T + 493039 T^{2}$$)($$1 + 776 T + 493039 T^{2}$$)($$1 - 305 T + 493039 T^{2}$$)($$1 + 80 T + 493039 T^{2}$$)($$1 - 520 T + 493039 T^{2}$$)($$1 - 1171 T + 493039 T^{2}$$)($$1 - 104 T + 493039 T^{2}$$)($$1 - 44 T + 493039 T^{2}$$)($$1 + 467 T + 493039 T^{2}$$)($$1 - 785 T + 493039 T^{2}$$)($$1 + 736 T + 493039 T^{2}$$)($$1 + 740 T + 493039 T^{2}$$)($$1 + 1216 T + 493039 T^{2}$$)($$1 + 880 T + 493039 T^{2}$$)($$1 + 1325 T + 493039 T^{2}$$)($$1 + 104 T + 493039 T^{2}$$)($$1 - 583 T + 493039 T^{2}$$)($$1 - 1024 T + 493039 T^{2}$$)($$1 + 236 T + 493039 T^{2}$$)($$1 + 236 T + 493039 T^{2}$$)($$1 - 583 T + 493039 T^{2}$$)($$1 + 384 T + 493039 T^{2}$$)($$1 - 32 T + 493039 T^{2}$$)($$1 + 104 T + 493039 T^{2}$$)($$1 + 1325 T + 493039 T^{2}$$)($$1 + 1216 T + 493039 T^{2}$$)($$1 + 552 T + 493039 T^{2}$$)($$1 - 1184 T + 493039 T^{2}$$)($$1 - 785 T + 493039 T^{2}$$)($$1 + 467 T + 493039 T^{2}$$)($$1 - 104 T + 493039 T^{2}$$)($$1 - 1171 T + 493039 T^{2}$$)($$1 - 305 T + 493039 T^{2}$$)($$1 + 1360 T + 493039 T^{2}$$)($$1 + 776 T + 493039 T^{2}$$)($$1 - 92 T + 493039 T^{2}$$)($$1 + 512 T + 493039 T^{2}$$)($$1 - 944 T + 1097470 T^{2} - 465428816 T^{3} + 243087455521 T^{4}$$)($$1 - 860 T + 1126590 T^{2} - 424013540 T^{3} + 243087455521 T^{4}$$)($$1 + 976 T + 532734 T^{2} + 481206064 T^{3} + 243087455521 T^{4}$$)($$1 - 802 T + 855999 T^{2} - 395417278 T^{3} + 243087455521 T^{4}$$)($$1 - 182 T + 992307 T^{2} - 89733098 T^{3} + 243087455521 T^{4}$$)($$1 - 526 T + 1033727 T^{2} - 259338514 T^{3} + 243087455521 T^{4}$$)($$1 + 468 T - 92834 T^{2} + 230742252 T^{3} + 243087455521 T^{4}$$)($$1 - 620 T + 589950 T^{2} - 305684180 T^{3} + 243087455521 T^{4}$$)($$1 + 1460 T + 1333505 T^{2} + 719836940 T^{3} + 243087455521 T^{4}$$)($$1 - 848 T + 985854 T^{2} - 418097072 T^{3} + 243087455521 T^{4}$$)($$1 - 556 T + 751134 T^{2} - 274129684 T^{3} + 243087455521 T^{4}$$)($$1 - 848 T + 985854 T^{2} - 418097072 T^{3} + 243087455521 T^{4}$$)($$1 + 1460 T + 1333505 T^{2} + 719836940 T^{3} + 243087455521 T^{4}$$)($$1 - 620 T + 589950 T^{2} - 305684180 T^{3} + 243087455521 T^{4}$$)($$1 - 572 T + 901662 T^{2} - 282018308 T^{3} + 243087455521 T^{4}$$)($$1 - 526 T + 1033727 T^{2} - 259338514 T^{3} + 243087455521 T^{4}$$)($$1 - 182 T + 992307 T^{2} - 89733098 T^{3} + 243087455521 T^{4}$$)($$1 - 802 T + 855999 T^{2} - 395417278 T^{3} + 243087455521 T^{4}$$)($$1 + 976 T + 532734 T^{2} + 481206064 T^{3} + 243087455521 T^{4}$$)($$1 - 860 T + 1126590 T^{2} - 424013540 T^{3} + 243087455521 T^{4}$$)($$1 - 944 T + 1097470 T^{2} - 465428816 T^{3} + 243087455521 T^{4}$$)($$1 + 861 T + 1221216 T^{2} + 655056821 T^{3} + 602107115424 T^{4} + 209298299203581 T^{5} + 119851595982618319 T^{6}$$)($$1 - 2463 T + 3428340 T^{2} - 2921490875 T^{3} + 1690305325260 T^{4} - 598724402948223 T^{5} + 119851595982618319 T^{6}$$)($$1 + 861 T + 1221216 T^{2} + 655056821 T^{3} + 602107115424 T^{4} + 209298299203581 T^{5} + 119851595982618319 T^{6}$$)($$1 - 2463 T + 3428340 T^{2} - 2921490875 T^{3} + 1690305325260 T^{4} - 598724402948223 T^{5} + 119851595982618319 T^{6}$$)($$1 + 864 T + 1864956 T^{2} + 1235423200 T^{3} + 1357772054598 T^{4} + 609111819104800 T^{5} + 453347408698622076 T^{6} +$$$$10\!\cdots\!16$$$$T^{7} +$$$$59\!\cdots\!41$$$$T^{8}$$)($$1 - 1984 T + 1725436 T^{2} - 666213568 T^{3} + 202189693510 T^{4} - 328469271353152 T^{5} + 419431846904332156 T^{6} -$$$$23\!\cdots\!96$$$$T^{7} +$$$$59\!\cdots\!41$$$$T^{8}$$)($$1 + 1762 T + 2715892 T^{2} + 2479590568 T^{3} + 2098857820333 T^{4} + 1222534854056152 T^{5} + 660199275749839732 T^{6} +$$$$21\!\cdots\!78$$$$T^{7} +$$$$59\!\cdots\!41$$$$T^{8}$$)($$1 + 416 T + 1109756 T^{2} + 40685856 T^{3} + 519699459142 T^{4} + 20059713756384 T^{5} + 269767762289162876 T^{6} + 49858263928769220704 T^{7} +$$$$59\!\cdots\!41$$$$T^{8}$$)($$1 + 416 T + 1109756 T^{2} + 40685856 T^{3} + 519699459142 T^{4} + 20059713756384 T^{5} + 269767762289162876 T^{6} + 49858263928769220704 T^{7} +$$$$59\!\cdots\!41$$$$T^{8}$$)($$1 + 1762 T + 2715892 T^{2} + 2479590568 T^{3} + 2098857820333 T^{4} + 1222534854056152 T^{5} + 660199275749839732 T^{6} +$$$$21\!\cdots\!78$$$$T^{7} +$$$$59\!\cdots\!41$$$$T^{8}$$)($$1 - 1984 T + 1725436 T^{2} - 666213568 T^{3} + 202189693510 T^{4} - 328469271353152 T^{5} + 419431846904332156 T^{6} -$$$$23\!\cdots\!96$$$$T^{7} +$$$$59\!\cdots\!41$$$$T^{8}$$)($$1 + 864 T + 1864956 T^{2} + 1235423200 T^{3} + 1357772054598 T^{4} + 609111819104800 T^{5} + 453347408698622076 T^{6} +$$$$10\!\cdots\!16$$$$T^{7} +$$$$59\!\cdots\!41$$$$T^{8}$$)
$83$ ($$1 - 228 T + 571787 T^{2}$$)($$1 - 924 T + 571787 T^{2}$$)($$1 - 1123 T + 571787 T^{2}$$)($$1 + 108 T + 571787 T^{2}$$)($$1 + 492 T + 571787 T^{2}$$)($$1 - 810 T + 571787 T^{2}$$)($$1 + 324 T + 571787 T^{2}$$)($$1 - 1012 T + 571787 T^{2}$$)($$1 + 477 T + 571787 T^{2}$$)($$1 + 822 T + 571787 T^{2}$$)($$1 + 588 T + 571787 T^{2}$$)($$1 - 468 T + 571787 T^{2}$$)($$1 - 684 T + 571787 T^{2}$$)($$1 + 108 T + 571787 T^{2}$$)($$1 - 1163 T + 571787 T^{2}$$)($$1 + 1508 T + 571787 T^{2}$$)($$1 + 597 T + 571787 T^{2}$$)($$1 + 204 T + 571787 T^{2}$$)($$1 + 36 T + 571787 T^{2}$$)($$1 - 36 T + 571787 T^{2}$$)($$1 - 597 T + 571787 T^{2}$$)($$1 + 548 T + 571787 T^{2}$$)($$1 + 1508 T + 571787 T^{2}$$)($$1 - 1508 T + 571787 T^{2}$$)($$1 + 1163 T + 571787 T^{2}$$)($$1 + 684 T + 571787 T^{2}$$)($$1 - 1036 T + 571787 T^{2}$$)($$1 - 220 T + 571787 T^{2}$$)($$1 - 822 T + 571787 T^{2}$$)($$1 - 477 T + 571787 T^{2}$$)($$1 - 324 T + 571787 T^{2}$$)($$1 + 810 T + 571787 T^{2}$$)($$1 + 1123 T + 571787 T^{2}$$)($$1 - 188 T + 571787 T^{2}$$)($$1 + 924 T + 571787 T^{2}$$)($$1 + 228 T + 571787 T^{2}$$)($$1 + 1188 T + 571787 T^{2}$$)($$1 - 1016 T + 1388838 T^{2} - 580935592 T^{3} + 326940373369 T^{4}$$)($$1 - 2520 T + 2696102 T^{2} - 1440903240 T^{3} + 326940373369 T^{4}$$)($$1 + 312 T - 644698 T^{2} + 178397544 T^{3} + 326940373369 T^{4}$$)($$1 + 283 T + 596860 T^{2} + 161815721 T^{3} + 326940373369 T^{4}$$)($$1 + 399 T + 946240 T^{2} + 228143013 T^{3} + 326940373369 T^{4}$$)($$1 - 221 T + 945628 T^{2} - 126364927 T^{3} + 326940373369 T^{4}$$)($$1 + 824 T + 536870 T^{2} + 471152488 T^{3} + 326940373369 T^{4}$$)($$1 + 1224 T + 1402406 T^{2} + 699867288 T^{3} + 326940373369 T^{4}$$)($$1 - 1409 T + 1147696 T^{2} - 805647883 T^{3} + 326940373369 T^{4}$$)($$1 - 648 T + 1235750 T^{2} - 370517976 T^{3} + 326940373369 T^{4}$$)($$1 + 264 T + 979750 T^{2} + 150951768 T^{3} + 326940373369 T^{4}$$)($$1 + 648 T + 1235750 T^{2} + 370517976 T^{3} + 326940373369 T^{4}$$)($$1 + 1409 T + 1147696 T^{2} + 805647883 T^{3} + 326940373369 T^{4}$$)($$1 - 1224 T + 1402406 T^{2} - 699867288 T^{3} + 326940373369 T^{4}$$)($$1 - 1944 T + 1957030 T^{2} - 1111553928 T^{3} + 326940373369 T^{4}$$)($$1 + 221 T + 945628 T^{2} + 126364927 T^{3} + 326940373369 T^{4}$$)($$1 - 399 T + 946240 T^{2} - 228143013 T^{3} + 326940373369 T^{4}$$)($$1 - 283 T + 596860 T^{2} - 161815721 T^{3} + 326940373369 T^{4}$$)($$1 - 312 T - 644698 T^{2} - 178397544 T^{3} + 326940373369 T^{4}$$)($$1 + 2520 T + 2696102 T^{2} + 1440903240 T^{3} + 326940373369 T^{4}$$)($$1 + 1016 T + 1388838 T^{2} + 580935592 T^{3} + 326940373369 T^{4}$$)($$1 - 519 T + 1583745 T^{2} - 545598870 T^{3} + 905564802315 T^{4} - 169682053778511 T^{5} + 186940255267540403 T^{6}$$)($$1 - 115 T + 1228989 T^{2} - 243220678 T^{3} + 702719933343 T^{4} - 37598142937435 T^{5} + 186940255267540403 T^{6}$$)($$1 + 519 T + 1583745 T^{2} + 545598870 T^{3} + 905564802315 T^{4} + 169682053778511 T^{5} + 186940255267540403 T^{6}$$)($$1 + 115 T + 1228989 T^{2} + 243220678 T^{3} + 702719933343 T^{4} + 37598142937435 T^{5} + 186940255267540403 T^{6}$$)($$1 - 1456 T + 2297228 T^{2} - 2130405040 T^{3} + 2028397026326 T^{4} - 1218137906606480 T^{5} + 751056580033721132 T^{6} -$$$$27\!\cdots\!68$$$$T^{7} +$$$$10\!\cdots\!61$$$$T^{8}$$)($$1 + 3120 T + 5531020 T^{2} + 6555475248 T^{3} + 5745505983510 T^{4} + 3748335525628176 T^{5} + 1808313743911406380 T^{6} +$$$$58\!\cdots\!60$$$$T^{7} +$$$$10\!\cdots\!61$$$$T^{8}$$)($$1 + 3450 T + 6524297 T^{2} + 8058006346 T^{3} + 7159809209520 T^{4} + 4607463274560302 T^{5} + 2133056097150246593 T^{6} +$$$$64\!\cdots\!50$$$$T^{7} +$$$$10\!\cdots\!61$$$$T^{8}$$)($$1 - 112 T + 1678732 T^{2} - 251602288 T^{3} + 1266920594454 T^{4} - 143862917448656 T^{5} + 548845266866488108 T^{6} - 20937308589964525136 T^{7} +$$$$10\!\cdots\!61$$$$T^{8}$$)($$1 + 112 T + 1678732 T^{2} + 251602288 T^{3} + 1266920594454 T^{4} + 143862917448656 T^{5} + 548845266866488108 T^{6} + 20937308589964525136 T^{7} +$$$$10\!\cdots\!61$$$$T^{8}$$)($$1 - 3450 T + 6524297 T^{2} - 8058006346 T^{3} + 7159809209520 T^{4} - 4607463274560302 T^{5} + 2133056097150246593 T^{6} -$$$$64\!\cdots\!50$$$$T^{7} +$$$$10\!\cdots\!61$$$$T^{8}$$)($$1 - 3120 T + 5531020 T^{2} - 6555475248 T^{3} + 5745505983510 T^{4} - 3748335525628176 T^{5} + 1808313743911406380 T^{6} -$$$$58\!\cdots\!60$$$$T^{7} +$$$$10\!\cdots\!61$$$$T^{8}$$)($$1 + 1456 T + 2297228 T^{2} + 2130405040 T^{3} + 2028397026326 T^{4} + 1218137906606480 T^{5} + 751056580033721132 T^{6} +$$$$27\!\cdots\!68$$$$T^{7} +$$$$10\!\cdots\!61$$$$T^{8}$$)
$89$ ($$1 + 390 T + 704969 T^{2}$$)($$1 - 744 T + 704969 T^{2}$$)($$1 - 426 T + 704969 T^{2}$$)($$1 - 1638 T + 704969 T^{2}$$)($$1 + 810 T + 704969 T^{2}$$)($$1 + 600 T + 704969 T^{2}$$)($$1 + 896 T + 704969 T^{2}$$)($$1 + 768 T + 704969 T^{2}$$)($$1 - 906 T + 704969 T^{2}$$)($$1 + 424 T + 704969 T^{2}$$)($$1 + 146 T + 704969 T^{2}$$)($$1 + 200 T + 704969 T^{2}$$)($$1 - 604 T + 704969 T^{2}$$)($$1 - 86 T + 704969 T^{2}$$)($$1 - 54 T + 704969 T^{2}$$)($$1 - 1144 T + 704969 T^{2}$$)($$1 - 1038 T + 704969 T^{2}$$)($$1 + 354 T + 704969 T^{2}$$)($$1 - 234 T + 704969 T^{2}$$)($$1 + 234 T + 704969 T^{2}$$)($$1 + 1038 T + 704969 T^{2}$$)($$1 + 1194 T + 704969 T^{2}$$)($$1 - 246 T + 704969 T^{2}$$)($$1 + 1144 T + 704969 T^{2}$$)($$1 + 54 T + 704969 T^{2}$$)($$1 + 604 T + 704969 T^{2}$$)($$1 + 30 T + 704969 T^{2}$$)($$1 - 774 T + 704969 T^{2}$$)($$1 - 424 T + 704969 T^{2}$$)($$1 + 906 T + 704969 T^{2}$$)($$1 - 896 T + 704969 T^{2}$$)($$1 - 600 T + 704969 T^{2}$$)($$1 + 426 T + 704969 T^{2}$$)($$1 - 366 T + 704969 T^{2}$$)($$1 + 744 T + 704969 T^{2}$$)($$1 - 116 T + 704969 T^{2}$$)($$1 - 630 T + 704969 T^{2}$$)($$1 - 388 T + 1217732 T^{2} - 273527972 T^{3} + 496981290961 T^{4}$$)($$1 + 1686 T + 2089762 T^{2} + 1188577734 T^{3} + 496981290961 T^{4}$$)($$1 + 108 T + 1330436 T^{2} + 76136652 T^{3} + 496981290961 T^{4}$$)($$1 - 1858 T + 2211874 T^{2} - 1309832402 T^{3} + 496981290961 T^{4}$$)($$1 + 822 T + 1516786 T^{2} + 579484518 T^{3} + 496981290961 T^{4}$$)($$1 - 774 T + 966562 T^{2} - 545646006 T^{3} + 496981290961 T^{4}$$)($$1 - 2118 T + 2285746 T^{2} - 1493124342 T^{3} + 496981290961 T^{4}$$)($$1 + 1422 T + 1792402 T^{2} + 1002465918 T^{3} + 496981290961 T^{4}$$)($$1 + 1974 T + 2298994 T^{2} + 1391608806 T^{3} + 496981290961 T^{4}$$)($$1 + 612 T + 1442324 T^{2} + 431441028 T^{3} + 496981290961 T^{4}$$)($$1 + 70 T - 186262 T^{2} + 49347830 T^{3} + 496981290961 T^{4}$$)($$1 - 612 T + 1442324 T^{2} - 431441028 T^{3} + 496981290961 T^{4}$$)($$1 - 1974 T + 2298994 T^{2} - 1391608806 T^{3} + 496981290961 T^{4}$$)($$1 - 1422 T + 1792402 T^{2} - 1002465918 T^{3} + 496981290961 T^{4}$$)($$1 + 366 T + 1156090 T^{2} + 258018654 T^{3} + 496981290961 T^{4}$$)($$1 + 774 T + 966562 T^{2} + 545646006 T^{3} + 496981290961 T^{4}$$)($$1 - 822 T + 1516786 T^{2} - 579484518 T^{3} + 496981290961 T^{4}$$)($$1 + 1858 T + 2211874 T^{2} + 1309832402 T^{3} + 496981290961 T^{4}$$)($$1 - 108 T + 1330436 T^{2} - 76136652 T^{3} + 496981290961 T^{4}$$)($$1 - 1686 T + 2089762 T^{2} - 1188577734 T^{3} + 496981290961 T^{4}$$)($$1 + 388 T + 1217732 T^{2} + 273527972 T^{3} + 496981290961 T^{4}$$)($$1 + 1766 T + 2392827 T^{2} + 2476945964 T^{3} + 1686868857363 T^{4} + 877668959837126 T^{5} + 350356403707485209 T^{6}$$)($$1 + 110 T + 387883 T^{2} - 192185284 T^{3} + 273445490627 T^{4} + 54667942005710 T^{5} + 350356403707485209 T^{6}$$)($$1 - 1766 T + 2392827 T^{2} - 2476945964 T^{3} + 1686868857363 T^{4} - 877668959837126 T^{5} + 350356403707485209 T^{6}$$)($$1 - 110 T + 387883 T^{2} + 192185284 T^{3} + 273445490627 T^{4} - 54667942005710 T^{5} + 350356403707485209 T^{6}$$)($$1 + 2936 T + 5403960 T^{2} + 6890733528 T^{3} + 6651967591762 T^{4} + 4857753524500632 T^{5} + 2685667017101605560 T^{6} +$$$$10\!\cdots\!24$$$$T^{7} +$$$$24\!\cdots\!21$$$$T^{8}$$)($$1 - 2160 T + 3343000 T^{2} - 3573514800 T^{3} + 3407992760850 T^{4} - 2519217155041200 T^{5} + 1661408455682623000 T^{6} -$$$$75\!\cdots\!40$$$$T^{7} +$$$$24\!\cdots\!21$$$$T^{8}$$)($$1 + 344 T + 1670240 T^{2} + 134058408 T^{3} + 1315175698974 T^{4} + 94507021829352 T^{5} + 830078031414700640 T^{6} +$$$$12\!\cdots\!96$$$$T^{7} +$$$$24\!\cdots\!21$$$$T^{8}$$)($$1 - 3160 T + 4955832 T^{2} - 5316788664 T^{3} + 4738991693650 T^{4} - 3748171187671416 T^{5} + 2462955785145834552 T^{6} -$$$$11\!\cdots\!40$$$$T^{7} +$$$$24\!\cdots\!21$$$$T^{8}$$)($$1 + 3160 T + 4955832 T^{2} + 5316788664 T^{3} + 4738991693650 T^{4} + 3748171187671416 T^{5} + 2462955785145834552 T^{6} +$$$$11\!\cdots\!40$$$$T^{7} +$$$$24\!\cdots\!21$$$$T^{8}$$)($$1 - 344 T + 1670240 T^{2} - 134058408 T^{3} + 1315175698974 T^{4} - 94507021829352 T^{5} + 830078031414700640 T^{6} -$$$$12\!\cdots\!96$$$$T^{7} +$$$$24\!\cdots\!21$$$$T^{8}$$)($$1 + 2160 T + 3343000 T^{2} + 3573514800 T^{3} + 3407992760850 T^{4} + 2519217155041200 T^{5} + 1661408455682623000 T^{6} +$$$$75\!\cdots\!40$$$$T^{7} +$$$$24\!\cdots\!21$$$$T^{8}$$)($$1 - 2936 T + 5403960 T^{2} - 6890733528 T^{3} + 6651967591762 T^{4} - 4857753524500632 T^{5} + 2685667017101605560 T^{6} -$$$$10\!\cdots\!24$$$$T^{7} +$$$$24\!\cdots\!21$$$$T^{8}$$)
$97$ ($$1 - 70 T + 912673 T^{2}$$)($$1 - 168 T + 912673 T^{2}$$)($$1 - 369 T + 912673 T^{2}$$)($$1 + 1010 T + 912673 T^{2}$$)($$1 + 1154 T + 912673 T^{2}$$)($$1 - 386 T + 912673 T^{2}$$)($$1 - 920 T + 912673 T^{2}$$)($$1 + 222 T + 912673 T^{2}$$)($$1 - 503 T + 912673 T^{2}$$)($$1 - 734 T + 912673 T^{2}$$)($$1 - 1214 T + 912673 T^{2}$$)($$1 - 1266 T + 912673 T^{2}$$)($$1 + 832 T + 912673 T^{2}$$)($$1 + 1426 T + 912673 T^{2}$$)($$1 + 7 T + 912673 T^{2}$$)($$1 + 904 T + 912673 T^{2}$$)($$1 - 169 T + 912673 T^{2}$$)($$1 - 286 T + 912673 T^{2}$$)($$1 - 468 T + 912673 T^{2}$$)($$1 + 468 T + 912673 T^{2}$$)($$1 + 169 T + 912673 T^{2}$$)($$1 - 1502 T + 912673 T^{2}$$)($$1 + 866 T + 912673 T^{2}$$)($$1 - 904 T + 912673 T^{2}$$)($$1 - 7 T + 912673 T^{2}$$)($$1 - 832 T + 912673 T^{2}$$)($$1 - 1190 T + 912673 T^{2}$$)($$1 - 1086 T + 912673 T^{2}$$)($$1 + 734 T + 912673 T^{2}$$)($$1 + 503 T + 912673 T^{2}$$)($$1 + 920 T + 912673 T^{2}$$)($$1 + 386 T + 912673 T^{2}$$)($$1 + 369 T + 912673 T^{2}$$)($$1 + 1554 T + 912673 T^{2}$$)($$1 + 168 T + 912673 T^{2}$$)($$1 - 554 T + 912673 T^{2}$$)($$1 - 1054 T + 912673 T^{2}$$)($$1 + 488 T + 1167280 T^{2} + 445384424 T^{3} + 832972004929 T^{4}$$)($$1 + 2100 T + 2861538 T^{2} + 1916613300 T^{3} + 832972004929 T^{4}$$)($$1 - 744 T + 432480 T^{2} - 679028712 T^{3} + 832972004929 T^{4}$$)($$1 + 1729 T + 2190800 T^{2} + 1578011617 T^{3} + 832972004929 T^{4}$$)($$1 + 841 T + 1945608 T^{2} + 767557993 T^{3} + 832972004929 T^{4}$$)($$1 - 1953 T + 2366992 T^{2} - 1782450369 T^{3} + 832972004929 T^{4}$$)($$1 + 400 T + 214046 T^{2} + 365069200 T^{3} + 832972004929 T^{4}$$)($$1 - 1116 T + 1756578 T^{2} - 1018543068 T^{3} + 832972004929 T^{4}$$)($$1 - 561 T + 1863448 T^{2} - 512009553 T^{3} + 832972004929 T^{4}$$)($$1 + 2184 T + 2982432 T^{2} + 1993277832 T^{3} + 832972004929 T^{4}$$)($$1 - 136 T + 1812270 T^{2} - 124123528 T^{3} + 832972004929 T^{4}$$)($$1 - 2184 T + 2982432 T^{2} - 1993277832 T^{3} + 832972004929 T^{4}$$)($$1 + 561 T + 1863448 T^{2} + 512009553 T^{3} + 832972004929 T^{4}$$)($$1 + 1116 T + 1756578 T^{2} + 1018543068 T^{3} + 832972004929 T^{4}$$)($$1 + 808 T + 903054 T^{2} + 737439784 T^{3} + 832972004929 T^{4}$$)($$1 + 1953 T + 2366992 T^{2} + 1782450369 T^{3} + 832972004929 T^{4}$$)($$1 - 841 T + 1945608 T^{2} - 767557993 T^{3} + 832972004929 T^{4}$$)($$1 - 1729 T + 2190800 T^{2} - 1578011617 T^{3} + 832972004929 T^{4}$$)($$1 + 744 T + 432480 T^{2} + 679028712 T^{3} + 832972004929 T^{4}$$)($$1 - 2100 T + 2861538 T^{2} - 1916613300 T^{3} + 832972004929 T^{4}$$)($$1 - 488 T + 1167280 T^{2} - 445384424 T^{3} + 832972004929 T^{4}$$)($$1 + 19 T + 2168419 T^{2} - 10094878 T^{3} + 1979057473987 T^{4} + 15826468093651 T^{5} + 760231058654565217 T^{6}$$)($$1 + 2941 T + 5549515 T^{2} + 6235037870 T^{3} + 5064892503595 T^{4} + 2449770666496189 T^{5} + 760231058654565217 T^{6}$$)($$1 - 19 T + 2168419 T^{2} + 10094878 T^{3} + 1979057473987 T^{4} - 15826468093651 T^{5} + 760231058654565217 T^{6}$$)($$1 - 2941 T + 5549515 T^{2} - 6235037870 T^{3} + 5064892503595 T^{4} - 2449770666496189 T^{5} + 760231058654565217 T^{6}$$)($$1 + 144 T + 2591968 T^{2} + 824150160 T^{3} + 3033197727234 T^{4} + 752179598977680 T^{5} + 2159036781671810272 T^{6} +$$$$10\!\cdots\!48$$$$T^{7} +$$$$69\!\cdots\!41$$$$T^{8}$$)($$1 - 2016 T + 2898432 T^{2} - 2840274144 T^{3} + 3044116636418 T^{4} - 2592241523826912 T^{5} + 2414312714190371328 T^{6} -$$$$15\!\cdots\!72$$$$T^{7} +$$$$69\!\cdots\!41$$$$T^{8}$$)($$1 + 622 T + 849993 T^{2} - 199355338 T^{3} - 35005181276 T^{4} - 181946234398474 T^{5} + 708020373385615497 T^{6} +$$$$47\!\cdots\!74$$$$T^{7} +$$$$69\!\cdots\!41$$$$T^{8}$$)($$1 - 2384 T + 4995488 T^{2} - 6771588432 T^{3} + 7465851671042 T^{4} - 6180245928998736 T^{5} + 4161101654958760352 T^{6} -$$$$18\!\cdots\!28$$$$T^{7} +$$$$69\!\cdots\!41$$$$T^{8}$$)($$1 + 2384 T + 4995488 T^{2} + 6771588432 T^{3} + 7465851671042 T^{4} + 6180245928998736 T^{5} + 4161101654958760352 T^{6} +$$$$18\!\cdots\!28$$$$T^{7} +$$$$69\!\cdots\!41$$$$T^{8}$$)($$1 - 622 T + 849993 T^{2} + 199355338 T^{3} - 35005181276 T^{4} + 181946234398474 T^{5} + 708020373385615497 T^{6} -$$$$47\!\cdots\!74$$$$T^{7} +$$$$69\!\cdots\!41$$$$T^{8}$$)($$1 + 2016 T + 2898432 T^{2} + 2840274144 T^{3} + 3044116636418 T^{4} + 2592241523826912 T^{5} + 2414312714190371328 T^{6} +$$$$15\!\cdots\!72$$$$T^{7} +$$$$69\!\cdots\!41$$$$T^{8}$$)($$1 - 144 T + 2591968 T^{2} - 824150160 T^{3} + 3033197727234 T^{4} - 752179598977680 T^{5} + 2159036781671810272 T^{6} -$$$$10\!\cdots\!48$$$$T^{7} +$$$$69\!\cdots\!41$$$$T^{8}$$)