Properties

Label 720.6
Level 720
Weight 6
Dimension 28094
Nonzero newspaces 28
Sturm bound 165888
Trace bound 9

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Defining parameters

Level: \( N \) = \( 720 = 2^{4} \cdot 3^{2} \cdot 5 \)
Weight: \( k \) = \( 6 \)
Nonzero newspaces: \( 28 \)
Sturm bound: \(165888\)
Trace bound: \(9\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{6}(\Gamma_1(720))\).

Total New Old
Modular forms 70016 28336 41680
Cusp forms 68224 28094 40130
Eisenstein series 1792 242 1550

Trace form

\( 28094q - 12q^{2} - 12q^{3} + 32q^{4} - 5q^{5} - 48q^{6} + 12q^{7} - 504q^{8} + 84q^{9} + O(q^{10}) \) \( 28094q - 12q^{2} - 12q^{3} + 32q^{4} - 5q^{5} - 48q^{6} + 12q^{7} - 504q^{8} + 84q^{9} + 380q^{10} - 390q^{11} - 16q^{12} - 844q^{13} + 696q^{14} + 1659q^{15} + 11464q^{16} - 3642q^{17} - 16056q^{18} - 3068q^{19} - 6296q^{20} + 6014q^{21} + 31368q^{22} + 8692q^{23} + 32304q^{24} + 21247q^{25} - 7736q^{26} - 12360q^{27} - 43512q^{28} - 71442q^{29} - 31204q^{30} + 4038q^{31} - 18472q^{32} + 41190q^{33} + 64808q^{34} + 38184q^{35} - 60712q^{36} + 28082q^{37} + 105672q^{38} - 116346q^{39} + 163444q^{40} - 24566q^{41} + 60864q^{42} + 41612q^{43} - 107056q^{44} + 3757q^{45} - 211528q^{46} + 428916q^{47} - 224760q^{48} - 64596q^{49} - 89348q^{50} - 34388q^{51} + 46760q^{52} - 147910q^{53} + 230632q^{54} - 211910q^{55} + 109008q^{56} - 208016q^{57} + 257312q^{58} + 65918q^{59} + 234348q^{60} + 204410q^{61} + 351672q^{62} + 372534q^{63} - 128176q^{64} - 12571q^{65} - 7488q^{66} - 286956q^{67} - 278736q^{68} - 688250q^{69} + 212516q^{70} - 540972q^{71} - 1113072q^{72} + 532106q^{73} - 741408q^{74} + 265649q^{75} - 1328q^{76} + 514298q^{77} + 92280q^{78} - 96710q^{79} + 256696q^{80} + 789916q^{81} - 384136q^{82} + 682736q^{83} + 2211920q^{84} - 573708q^{85} + 687152q^{86} + 140478q^{87} + 367848q^{88} - 226396q^{89} - 614616q^{90} - 251096q^{91} - 714392q^{92} + 474314q^{93} - 497880q^{94} - 626000q^{95} - 1214392q^{96} + 289608q^{97} - 1971284q^{98} - 978702q^{99} + O(q^{100}) \)

Decomposition of \(S_{6}^{\mathrm{new}}(\Gamma_1(720))\)

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
720.6.a \(\chi_{720}(1, \cdot)\) 720.6.a.a 1 1
720.6.a.b 1
720.6.a.c 1
720.6.a.d 1
720.6.a.e 1
720.6.a.f 1
720.6.a.g 1
720.6.a.h 1
720.6.a.i 1
720.6.a.j 1
720.6.a.k 1
720.6.a.l 1
720.6.a.m 1
720.6.a.n 1
720.6.a.o 1
720.6.a.p 1
720.6.a.q 1
720.6.a.r 1
720.6.a.s 1
720.6.a.t 1
720.6.a.u 1
720.6.a.v 1
720.6.a.w 1
720.6.a.x 1
720.6.a.y 2
720.6.a.z 2
720.6.a.ba 2
720.6.a.bb 2
720.6.a.bc 2
720.6.a.bd 2
720.6.a.be 2
720.6.a.bf 2
720.6.a.bg 2
720.6.a.bh 2
720.6.a.bi 3
720.6.a.bj 3
720.6.b \(\chi_{720}(71, \cdot)\) None 0 1
720.6.d \(\chi_{720}(649, \cdot)\) None 0 1
720.6.f \(\chi_{720}(289, \cdot)\) 720.6.f.a 2 1
720.6.f.b 2
720.6.f.c 2
720.6.f.d 2
720.6.f.e 2
720.6.f.f 2
720.6.f.g 2
720.6.f.h 4
720.6.f.i 4
720.6.f.j 4
720.6.f.k 4
720.6.f.l 6
720.6.f.m 6
720.6.f.n 8
720.6.f.o 8
720.6.f.p 16
720.6.h \(\chi_{720}(431, \cdot)\) 720.6.h.a 16 1
720.6.h.b 24
720.6.k \(\chi_{720}(361, \cdot)\) None 0 1
720.6.m \(\chi_{720}(359, \cdot)\) None 0 1
720.6.o \(\chi_{720}(719, \cdot)\) 720.6.o.a 4 1
720.6.o.b 8
720.6.o.c 8
720.6.o.d 40
720.6.q \(\chi_{720}(241, \cdot)\) n/a 240 2
720.6.t \(\chi_{720}(181, \cdot)\) n/a 400 2
720.6.u \(\chi_{720}(179, \cdot)\) n/a 480 2
720.6.w \(\chi_{720}(17, \cdot)\) n/a 120 2
720.6.x \(\chi_{720}(127, \cdot)\) n/a 150 2
720.6.z \(\chi_{720}(163, \cdot)\) n/a 596 2
720.6.bc \(\chi_{720}(197, \cdot)\) n/a 480 2
720.6.bd \(\chi_{720}(307, \cdot)\) n/a 596 2
720.6.bg \(\chi_{720}(53, \cdot)\) n/a 480 2
720.6.bi \(\chi_{720}(343, \cdot)\) None 0 2
720.6.bj \(\chi_{720}(233, \cdot)\) None 0 2
720.6.bl \(\chi_{720}(251, \cdot)\) n/a 320 2
720.6.bm \(\chi_{720}(109, \cdot)\) n/a 596 2
720.6.br \(\chi_{720}(239, \cdot)\) n/a 360 2
720.6.bt \(\chi_{720}(119, \cdot)\) None 0 2
720.6.bv \(\chi_{720}(121, \cdot)\) None 0 2
720.6.bw \(\chi_{720}(191, \cdot)\) n/a 240 2
720.6.by \(\chi_{720}(49, \cdot)\) n/a 356 2
720.6.ca \(\chi_{720}(169, \cdot)\) None 0 2
720.6.cc \(\chi_{720}(311, \cdot)\) None 0 2
720.6.ce \(\chi_{720}(229, \cdot)\) n/a 2864 4
720.6.cf \(\chi_{720}(11, \cdot)\) n/a 1920 4
720.6.ci \(\chi_{720}(7, \cdot)\) None 0 4
720.6.cl \(\chi_{720}(137, \cdot)\) None 0 4
720.6.cm \(\chi_{720}(77, \cdot)\) n/a 2864 4
720.6.cp \(\chi_{720}(43, \cdot)\) n/a 2864 4
720.6.cq \(\chi_{720}(173, \cdot)\) n/a 2864 4
720.6.ct \(\chi_{720}(187, \cdot)\) n/a 2864 4
720.6.cu \(\chi_{720}(113, \cdot)\) n/a 712 4
720.6.cx \(\chi_{720}(223, \cdot)\) n/a 720 4
720.6.da \(\chi_{720}(59, \cdot)\) n/a 2864 4
720.6.db \(\chi_{720}(61, \cdot)\) n/a 1920 4

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

Decomposition of \(S_{6}^{\mathrm{old}}(\Gamma_1(720))\) into lower level spaces

\( S_{6}^{\mathrm{old}}(\Gamma_1(720)) \cong \) \(S_{6}^{\mathrm{new}}(\Gamma_1(3))\)\(^{\oplus 20}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(4))\)\(^{\oplus 18}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(5))\)\(^{\oplus 15}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(6))\)\(^{\oplus 16}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(8))\)\(^{\oplus 12}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(9))\)\(^{\oplus 10}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(10))\)\(^{\oplus 12}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(12))\)\(^{\oplus 12}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(15))\)\(^{\oplus 10}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(16))\)\(^{\oplus 6}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(18))\)\(^{\oplus 8}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(20))\)\(^{\oplus 9}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(24))\)\(^{\oplus 8}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(30))\)\(^{\oplus 8}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(36))\)\(^{\oplus 6}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(40))\)\(^{\oplus 6}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(45))\)\(^{\oplus 5}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(48))\)\(^{\oplus 4}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(60))\)\(^{\oplus 6}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(72))\)\(^{\oplus 4}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(80))\)\(^{\oplus 3}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(90))\)\(^{\oplus 4}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(120))\)\(^{\oplus 4}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(144))\)\(^{\oplus 2}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(180))\)\(^{\oplus 3}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(240))\)\(^{\oplus 2}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(360))\)\(^{\oplus 2}\)

Hecke characteristic polynomials

$p$ $F_p(T)$
$2$ 1
$3$ 1
$5$ (\( 1 + 25 T \))(\( 1 + 25 T \))(\( 1 + 25 T \))(\( 1 + 25 T \))(\( 1 + 25 T \))(\( 1 + 25 T \))(\( 1 + 25 T \))(\( 1 + 25 T \))(\( 1 + 25 T \))(\( 1 + 25 T \))(\( 1 - 25 T \))(\( 1 - 25 T \))(\( 1 - 25 T \))(\( 1 - 25 T \))(\( 1 - 25 T \))(\( 1 - 25 T \))(\( 1 - 25 T \))(\( 1 - 25 T \))(\( 1 - 25 T \))(\( 1 - 25 T \))(\( 1 - 25 T \))(\( 1 - 25 T \))(\( 1 - 25 T \))(\( 1 - 25 T \))(\( ( 1 + 25 T )^{2} \))(\( ( 1 + 25 T )^{2} \))(\( ( 1 + 25 T )^{2} \))(\( ( 1 + 25 T )^{2} \))(\( ( 1 + 25 T )^{2} \))(\( ( 1 + 25 T )^{2} \))(\( ( 1 - 25 T )^{2} \))(\( ( 1 - 25 T )^{2} \))(\( ( 1 - 25 T )^{2} \))(\( ( 1 - 25 T )^{2} \))(\( ( 1 + 25 T )^{3} \))(\( ( 1 - 25 T )^{3} \))(\( 1 + 110 T + 3125 T^{2} \))(\( 1 + 80 T + 3125 T^{2} \))(\( 1 + 3125 T^{2} \))(\( 1 - 10 T + 3125 T^{2} \))(\( 1 - 80 T + 3125 T^{2} \))(\( 1 - 90 T + 3125 T^{2} \))(\( 1 - 110 T + 3125 T^{2} \))(\( ( 1 + 60 T + 3125 T^{2} )^{2} \))(\( 1 + 6 T + 5010 T^{2} + 18750 T^{3} + 9765625 T^{4} \))(\( 1 - 1350 T^{2} + 9765625 T^{4} \))(\( 1 - 3830 T^{2} + 9765625 T^{4} \))(\( 1 + 50 T - 625 T^{2} - 283500 T^{3} - 1953125 T^{4} + 488281250 T^{5} + 30517578125 T^{6} \))(\( 1 - 38 T - 2305 T^{2} + 233700 T^{3} - 7203125 T^{4} - 371093750 T^{5} + 30517578125 T^{6} \))(\( 1 + 8 T + 1100 T^{2} - 113000 T^{3} - 438250 T^{4} - 353125000 T^{5} + 10742187500 T^{6} + 244140625000 T^{7} + 95367431640625 T^{8} \))(\( 1 - 66 T + 2460 T^{2} + 290850 T^{3} - 22572250 T^{4} + 908906250 T^{5} + 24023437500 T^{6} - 2014160156250 T^{7} + 95367431640625 T^{8} \))(\( 1 + 744 T^{2} - 15109700 T^{4} + 4853295000 T^{6} + 205682850843750 T^{8} + 47395458984375000 T^{10} - \)\(14\!\cdots\!00\)\( T^{12} + \)\(69\!\cdots\!00\)\( T^{14} + \)\(90\!\cdots\!25\)\( T^{16} \))(\( ( 1 + 625 T^{2} )^{8} \))(\( 1 + 6232 T^{2} + 9765625 T^{4} \))(\( ( 1 + 3550 T^{2} + 9765625 T^{4} )^{2} \))(\( ( 1 - 6050 T^{2} + 9765625 T^{4} )^{2} \))
$7$ (\( 1 + 192 T + 16807 T^{2} \))(\( 1 + 128 T + 16807 T^{2} \))(\( 1 + 98 T + 16807 T^{2} \))(\( 1 + 56 T + 16807 T^{2} \))(\( 1 + 32 T + 16807 T^{2} \))(\( 1 - 16 T + 16807 T^{2} \))(\( 1 - 80 T + 16807 T^{2} \))(\( 1 - 108 T + 16807 T^{2} \))(\( 1 - 160 T + 16807 T^{2} \))(\( 1 - 172 T + 16807 T^{2} \))(\( 1 + 242 T + 16807 T^{2} \))(\( 1 + 218 T + 16807 T^{2} \))(\( 1 + 164 T + 16807 T^{2} \))(\( 1 + 108 T + 16807 T^{2} \))(\( 1 + 98 T + 16807 T^{2} \))(\( 1 + 44 T + 16807 T^{2} \))(\( 1 + 12 T + 16807 T^{2} \))(\( 1 - 22 T + 16807 T^{2} \))(\( 1 - 28 T + 16807 T^{2} \))(\( 1 - 62 T + 16807 T^{2} \))(\( 1 - 100 T + 16807 T^{2} \))(\( 1 - 118 T + 16807 T^{2} \))(\( 1 - 132 T + 16807 T^{2} \))(\( 1 - 244 T + 16807 T^{2} \))(\( 1 + 80 T + 20714 T^{2} + 1344560 T^{3} + 282475249 T^{4} \))(\( 1 + 52 T + 29646 T^{2} + 873964 T^{3} + 282475249 T^{4} \))(\( 1 - 8 T - 946 T^{2} - 134456 T^{3} + 282475249 T^{4} \))(\( 1 - 80 T + 22058 T^{2} - 1344560 T^{3} + 282475249 T^{4} \))(\( 1 - 80 T + 26538 T^{2} - 1344560 T^{3} + 282475249 T^{4} \))(\( 1 - 112 T + 10574 T^{2} - 1882384 T^{3} + 282475249 T^{4} \))(\( 1 + 80 T + 20714 T^{2} + 1344560 T^{3} + 282475249 T^{4} \))(\( 1 + 16 T + 9854 T^{2} + 268912 T^{3} + 282475249 T^{4} \))(\( 1 - 80 T + 26538 T^{2} - 1344560 T^{3} + 282475249 T^{4} \))(\( 1 - 80 T + 22058 T^{2} - 1344560 T^{3} + 282475249 T^{4} \))(\( 1 + 18 T + 945 T^{2} - 157516 T^{3} + 15882615 T^{4} + 5084554482 T^{5} + 4747561509943 T^{6} \))(\( 1 + 18 T + 945 T^{2} - 157516 T^{3} + 15882615 T^{4} + 5084554482 T^{5} + 4747561509943 T^{6} \))(\( 1 - 8650 T^{2} + 282475249 T^{4} \))(\( 1 - 17998 T^{2} + 282475249 T^{4} \))(\( ( 1 - 16807 T^{2} )^{2} \))(\( 1 - 18610 T^{2} + 282475249 T^{4} \))(\( 1 - 17998 T^{2} + 282475249 T^{4} \))(\( 1 - 30050 T^{2} + 282475249 T^{4} \))(\( 1 - 33598 T^{2} + 282475249 T^{4} \))(\( 1 - 35764 T^{2} + 735230598 T^{4} - 10102444805236 T^{6} + 79792266297612001 T^{8} \))(\( 1 + 1720 T^{2} + 159889998 T^{4} + 485857428280 T^{6} + 79792266297612001 T^{8} \))(\( ( 1 - 33310 T^{2} + 282475249 T^{4} )^{2} \))(\( ( 1 + 16786 T^{2} + 282475249 T^{4} )^{2} \))(\( 1 - 64626 T^{2} + 2028003087 T^{4} - 41058323262556 T^{6} + 572860676973093663 T^{8} - \)\(51\!\cdots\!26\)\( T^{10} + \)\(22\!\cdots\!49\)\( T^{12} \))(\( 1 - 36594 T^{2} + 656281359 T^{4} - 10766281402204 T^{6} + 185383240297583391 T^{8} - \)\(29\!\cdots\!94\)\( T^{10} + \)\(22\!\cdots\!49\)\( T^{12} \))(\( 1 - 44728 T^{2} + 1493128636 T^{4} - 37445733732616 T^{6} + 682894235558230726 T^{8} - \)\(10\!\cdots\!84\)\( T^{10} + \)\(11\!\cdots\!36\)\( T^{12} - \)\(10\!\cdots\!72\)\( T^{14} + \)\(63\!\cdots\!01\)\( T^{16} \))(\( 1 - 50044 T^{2} + 1063808116 T^{4} - 10453791123268 T^{6} + 72544565734839766 T^{8} - \)\(29\!\cdots\!32\)\( T^{10} + \)\(84\!\cdots\!16\)\( T^{12} - \)\(11\!\cdots\!56\)\( T^{14} + \)\(63\!\cdots\!01\)\( T^{16} \))(\( ( 1 - 64504 T^{2} + 2303344348 T^{4} - 55653835395400 T^{6} + 1050929443294374022 T^{8} - \)\(15\!\cdots\!00\)\( T^{10} + \)\(18\!\cdots\!48\)\( T^{12} - \)\(14\!\cdots\!96\)\( T^{14} + \)\(63\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 - 37856 T^{2} + 734991172 T^{4} - 14835615087008 T^{6} + 286885495526553670 T^{8} - \)\(41\!\cdots\!92\)\( T^{10} + \)\(58\!\cdots\!72\)\( T^{12} - \)\(85\!\cdots\!44\)\( T^{14} + \)\(63\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 + 16807 T^{2} )^{4} \))(\( ( 1 + 20204 T^{2} + 282475249 T^{4} )^{4} \))(\( ( 1 + 5324 T^{2} + 282475249 T^{4} )^{4} \))
$11$ (\( 1 + 148 T + 161051 T^{2} \))(\( 1 + 308 T + 161051 T^{2} \))(\( 1 + 354 T + 161051 T^{2} \))(\( 1 - 156 T + 161051 T^{2} \))(\( 1 - 12 T + 161051 T^{2} \))(\( 1 + 564 T + 161051 T^{2} \))(\( 1 - 684 T + 161051 T^{2} \))(\( 1 + 604 T + 161051 T^{2} \))(\( 1 + 596 T + 161051 T^{2} \))(\( 1 - 132 T + 161051 T^{2} \))(\( 1 - 656 T + 161051 T^{2} \))(\( 1 + 480 T + 161051 T^{2} \))(\( 1 - 720 T + 161051 T^{2} \))(\( 1 + 8 T + 161051 T^{2} \))(\( 1 - 354 T + 161051 T^{2} \))(\( 1 - 216 T + 161051 T^{2} \))(\( 1 - 112 T + 161051 T^{2} \))(\( 1 + 768 T + 161051 T^{2} \))(\( 1 + 208 T + 161051 T^{2} \))(\( 1 + 144 T + 161051 T^{2} \))(\( 1 + 136 T + 161051 T^{2} \))(\( 1 - 192 T + 161051 T^{2} \))(\( 1 - 472 T + 161051 T^{2} \))(\( 1 + 144 T + 161051 T^{2} \))(\( 1 - 800 T + 467602 T^{2} - 128840800 T^{3} + 25937424601 T^{4} \))(\( 1 - 560 T + 381926 T^{2} - 90188560 T^{3} + 25937424601 T^{4} \))(\( 1 - 488 T + 243334 T^{2} - 78592888 T^{3} + 25937424601 T^{4} \))(\( 1 + 280 T + 328546 T^{2} + 45094280 T^{3} + 25937424601 T^{4} \))(\( 1 + 240 T + 119602 T^{2} + 38652240 T^{3} + 25937424601 T^{4} \))(\( 1 - 248 T + 232774 T^{2} - 39940648 T^{3} + 25937424601 T^{4} \))(\( 1 + 800 T + 467602 T^{2} + 128840800 T^{3} + 25937424601 T^{4} \))(\( 1 - 64 T - 58058 T^{2} - 10307264 T^{3} + 25937424601 T^{4} \))(\( 1 - 240 T + 119602 T^{2} - 38652240 T^{3} + 25937424601 T^{4} \))(\( 1 - 280 T + 328546 T^{2} - 45094280 T^{3} + 25937424601 T^{4} \))(\( 1 - 558 T + 216237 T^{2} - 56677948 T^{3} + 34825185087 T^{4} - 14473082927358 T^{5} + 4177248169415651 T^{6} \))(\( 1 + 558 T + 216237 T^{2} + 56677948 T^{3} + 34825185087 T^{4} + 14473082927358 T^{5} + 4177248169415651 T^{6} \))(\( ( 1 + 148 T + 161051 T^{2} )^{2} \))(\( ( 1 - 80 T + 161051 T^{2} )^{2} \))(\( ( 1 + 161051 T^{2} )^{2} \))(\( ( 1 + 100 T + 161051 T^{2} )^{2} \))(\( ( 1 + 80 T + 161051 T^{2} )^{2} \))(\( ( 1 - 252 T + 161051 T^{2} )^{2} \))(\( ( 1 + 500 T + 161051 T^{2} )^{2} \))(\( ( 1 - 168 T + 69634 T^{2} - 27056568 T^{3} + 25937424601 T^{4} )^{2} \))(\( ( 1 - 174 T + 298446 T^{2} - 28022874 T^{3} + 25937424601 T^{4} )^{2} \))(\( ( 1 - 94074 T^{2} + 25937424601 T^{4} )^{2} \))(\( ( 1 + 70102 T^{2} + 25937424601 T^{4} )^{2} \))(\( ( 1 + 332 T + 408509 T^{2} + 107689464 T^{3} + 65790782959 T^{4} + 8611224967532 T^{5} + 4177248169415651 T^{6} )^{2} \))(\( ( 1 - 148 T + 2621 T^{2} + 31025208 T^{3} + 422114671 T^{4} - 3838738840948 T^{5} + 4177248169415651 T^{6} )^{2} \))(\( ( 1 + 368 T + 176204 T^{2} + 51158896 T^{3} + 42277949270 T^{4} + 8239191359696 T^{5} + 4570277964394604 T^{6} + 1537227326344959568 T^{7} + \)\(67\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 - 342 T + 443712 T^{2} - 76803486 T^{3} + 83091304430 T^{4} - 12369278223786 T^{5} + 11508746544558912 T^{6} - 1428618873940152642 T^{7} + \)\(67\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 + 644376 T^{2} + 191792302396 T^{4} + 37148595807242088 T^{6} + \)\(60\!\cdots\!58\)\( T^{8} + \)\(96\!\cdots\!88\)\( T^{10} + \)\(12\!\cdots\!96\)\( T^{12} + \)\(11\!\cdots\!76\)\( T^{14} + \)\(45\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 + 504208 T^{2} + 154257412228 T^{4} + 34975880316663856 T^{6} + \)\(63\!\cdots\!70\)\( T^{8} + \)\(90\!\cdots\!56\)\( T^{10} + \)\(10\!\cdots\!28\)\( T^{12} + \)\(87\!\cdots\!08\)\( T^{14} + \)\(45\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 + 161051 T^{2} )^{4} \))(\( ( 1 - 39968 T^{2} + 25937424601 T^{4} )^{4} \))(\( ( 1 + 220672 T^{2} + 25937424601 T^{4} )^{4} \))
$13$ (\( 1 - 286 T + 371293 T^{2} \))(\( 1 + 1058 T + 371293 T^{2} \))(\( 1 - 404 T + 371293 T^{2} \))(\( 1 - 350 T + 371293 T^{2} \))(\( 1 + 154 T + 371293 T^{2} \))(\( 1 + 370 T + 371293 T^{2} \))(\( 1 + 978 T + 371293 T^{2} \))(\( 1 + 306 T + 371293 T^{2} \))(\( 1 + 122 T + 371293 T^{2} \))(\( 1 + 946 T + 371293 T^{2} \))(\( 1 + 206 T + 371293 T^{2} \))(\( 1 + 622 T + 371293 T^{2} \))(\( 1 - 698 T + 371293 T^{2} \))(\( 1 - 162 T + 371293 T^{2} \))(\( 1 - 404 T + 371293 T^{2} \))(\( 1 - 770 T + 371293 T^{2} \))(\( 1 + 974 T + 371293 T^{2} \))(\( 1 + 46 T + 371293 T^{2} \))(\( 1 + 422 T + 371293 T^{2} \))(\( 1 + 654 T + 371293 T^{2} \))(\( 1 - 82 T + 371293 T^{2} \))(\( 1 - 1106 T + 371293 T^{2} \))(\( 1 + 686 T + 371293 T^{2} \))(\( 1 - 50 T + 371293 T^{2} \))(\( 1 + 120 T + 514186 T^{2} + 44555160 T^{3} + 137858491849 T^{4} \))(\( 1 - 1388 T + 1149918 T^{2} - 515354684 T^{3} + 137858491849 T^{4} \))(\( 1 - 612 T + 525038 T^{2} - 227231316 T^{3} + 137858491849 T^{4} \))(\( 1 - 480 T + 326570 T^{2} - 178220640 T^{3} + 137858491849 T^{4} \))(\( 1 + 680 T + 302922 T^{2} + 252479240 T^{3} + 137858491849 T^{4} \))(\( 1 - 876 T + 908254 T^{2} - 325252668 T^{3} + 137858491849 T^{4} \))(\( 1 + 120 T + 514186 T^{2} + 44555160 T^{3} + 137858491849 T^{4} \))(\( 1 - 1164 T + 866894 T^{2} - 432185052 T^{3} + 137858491849 T^{4} \))(\( 1 + 680 T + 302922 T^{2} + 252479240 T^{3} + 137858491849 T^{4} \))(\( 1 - 480 T + 326570 T^{2} - 178220640 T^{3} + 137858491849 T^{4} \))(\( 1 + 84 T + 484743 T^{2} + 138297800 T^{3} + 179981682699 T^{4} + 11580113315316 T^{5} + 51185893014090757 T^{6} \))(\( 1 + 84 T + 484743 T^{2} + 138297800 T^{3} + 179981682699 T^{4} + 11580113315316 T^{5} + 51185893014090757 T^{6} \))(\( 1 - 274730 T^{2} + 137858491849 T^{4} \))(\( 1 - 602042 T^{2} + 137858491849 T^{4} \))(\( ( 1 - 371293 T^{2} )^{2} \))(\( 1 - 202442 T^{2} + 137858491849 T^{4} \))(\( 1 - 602042 T^{2} + 137858491849 T^{4} \))(\( 1 - 728330 T^{2} + 137858491849 T^{4} \))(\( 1 - 659642 T^{2} + 137858491849 T^{4} \))(\( 1 - 331372 T^{2} + 39475840758 T^{4} - 45682444160986828 T^{6} + \)\(19\!\cdots\!01\)\( T^{8} \))(\( 1 - 717040 T^{2} + 288425185998 T^{4} - 98850052995406960 T^{6} + \)\(19\!\cdots\!01\)\( T^{8} \))(\( ( 1 + 463990 T^{2} + 137858491849 T^{4} )^{2} \))(\( ( 1 - 692186 T^{2} + 137858491849 T^{4} )^{2} \))(\( 1 - 2165574 T^{2} + 1976112655671 T^{4} - 972719104225889812 T^{6} + \)\(27\!\cdots\!79\)\( T^{8} - \)\(41\!\cdots\!74\)\( T^{10} + \)\(26\!\cdots\!49\)\( T^{12} \))(\( 1 - 1145958 T^{2} + 753791118135 T^{4} - 322779460890985940 T^{6} + \)\(10\!\cdots\!15\)\( T^{8} - \)\(21\!\cdots\!58\)\( T^{10} + \)\(26\!\cdots\!49\)\( T^{12} \))(\( 1 - 1578472 T^{2} + 1074189263356 T^{4} - 437549632721743384 T^{6} + \)\(15\!\cdots\!86\)\( T^{8} - \)\(60\!\cdots\!16\)\( T^{10} + \)\(20\!\cdots\!56\)\( T^{12} - \)\(41\!\cdots\!28\)\( T^{14} + \)\(36\!\cdots\!01\)\( T^{16} \))(\( 1 + 78884 T^{2} + 436289293828 T^{4} + 45956706983246780 T^{6} + \)\(82\!\cdots\!62\)\( T^{8} + \)\(63\!\cdots\!20\)\( T^{10} + \)\(82\!\cdots\!28\)\( T^{12} + \)\(20\!\cdots\!16\)\( T^{14} + \)\(36\!\cdots\!01\)\( T^{16} \))(\( ( 1 - 1315240 T^{2} + 1109046819196 T^{4} - 629758658597256280 T^{6} + \)\(27\!\cdots\!06\)\( T^{8} - \)\(86\!\cdots\!20\)\( T^{10} + \)\(21\!\cdots\!96\)\( T^{12} - \)\(34\!\cdots\!60\)\( T^{14} + \)\(36\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 - 280 T + 539080 T^{2} - 435543640 T^{3} + 144856786498 T^{4} - 161714304726520 T^{5} + 74316755785958920 T^{6} - 14332050043945411960 T^{7} + \)\(19\!\cdots\!01\)\( T^{8} )^{4} \))(\( ( 1 - 244 T + 371293 T^{2} )^{2}( 1 + 244 T + 371293 T^{2} )^{2} \))(\( ( 1 - 590900 T^{2} + 137858491849 T^{4} )^{4} \))(\( ( 1 - 712820 T^{2} + 137858491849 T^{4} )^{4} \))
$17$ (\( 1 - 1678 T + 1419857 T^{2} \))(\( 1 + 1586 T + 1419857 T^{2} \))(\( 1 - 654 T + 1419857 T^{2} \))(\( 1 + 786 T + 1419857 T^{2} \))(\( 1 - 918 T + 1419857 T^{2} \))(\( 1 - 1086 T + 1419857 T^{2} \))(\( 1 - 862 T + 1419857 T^{2} \))(\( 1 + 930 T + 1419857 T^{2} \))(\( 1 - 1078 T + 1419857 T^{2} \))(\( 1 - 222 T + 1419857 T^{2} \))(\( 1 + 1690 T + 1419857 T^{2} \))(\( 1 + 186 T + 1419857 T^{2} \))(\( 1 - 2226 T + 1419857 T^{2} \))(\( 1 - 714 T + 1419857 T^{2} \))(\( 1 + 654 T + 1419857 T^{2} \))(\( 1 + 534 T + 1419857 T^{2} \))(\( 1 + 2182 T + 1419857 T^{2} \))(\( 1 + 378 T + 1419857 T^{2} \))(\( 1 - 146 T + 1419857 T^{2} \))(\( 1 - 1190 T + 1419857 T^{2} \))(\( 1 + 358 T + 1419857 T^{2} \))(\( 1 + 762 T + 1419857 T^{2} \))(\( 1 - 1562 T + 1419857 T^{2} \))(\( 1 - 1914 T + 1419857 T^{2} \))(\( 1 + 1940 T + 3743494 T^{2} + 2754522580 T^{3} + 2015993900449 T^{4} \))(\( 1 + 148 T - 795706 T^{2} + 210138836 T^{3} + 2015993900449 T^{4} \))(\( 1 + 860 T + 2990038 T^{2} + 1221077020 T^{3} + 2015993900449 T^{4} \))(\( 1 - 148 T + 1529590 T^{2} - 210138836 T^{3} + 2015993900449 T^{4} \))(\( 1 - 540 T - 557786 T^{2} - 766722780 T^{3} + 2015993900449 T^{4} \))(\( 1 + 2036 T + 3221638 T^{2} + 2890828852 T^{3} + 2015993900449 T^{4} \))(\( 1 - 1940 T + 3743494 T^{2} - 2754522580 T^{3} + 2015993900449 T^{4} \))(\( 1 + 2164 T + 3414838 T^{2} + 3072570548 T^{3} + 2015993900449 T^{4} \))(\( 1 + 540 T - 557786 T^{2} + 766722780 T^{3} + 2015993900449 T^{4} \))(\( 1 + 148 T + 1529590 T^{2} + 210138836 T^{3} + 2015993900449 T^{4} \))(\( 1 + 726 T + 3953151 T^{2} + 1935854132 T^{3} + 5612909119407 T^{4} + 1463611571725974 T^{5} + 2862423051509815793 T^{6} \))(\( 1 - 726 T + 3953151 T^{2} - 1935854132 T^{3} + 5612909119407 T^{4} - 1463611571725974 T^{5} + 2862423051509815793 T^{6} \))(\( 1 + 1354590 T^{2} + 2015993900449 T^{4} \))(\( 1 - 2540814 T^{2} + 2015993900449 T^{4} \))(\( 1 - 2419214 T^{2} + 2015993900449 T^{4} \))(\( 1 - 1879458 T^{2} + 2015993900449 T^{4} \))(\( 1 - 2540814 T^{2} + 2015993900449 T^{4} \))(\( 1 - 2363810 T^{2} + 2015993900449 T^{4} \))(\( 1 - 541458 T^{2} + 2015993900449 T^{4} \))(\( 1 - 4641340 T^{2} + 9272809536198 T^{4} - 9356913129909961660 T^{6} + \)\(40\!\cdots\!01\)\( T^{8} \))(\( 1 - 3971280 T^{2} + 7330589629598 T^{4} - 8006076256975104720 T^{6} + \)\(40\!\cdots\!01\)\( T^{8} \))(\( ( 1 - 1480158 T^{2} + 2015993900449 T^{4} )^{2} \))(\( ( 1 - 57134 T^{2} + 2015993900449 T^{4} )^{2} \))(\( 1 - 6393390 T^{2} + 19617942041247 T^{4} - 35338776492878157220 T^{6} + \)\(39\!\cdots\!03\)\( T^{8} - \)\(25\!\cdots\!90\)\( T^{10} + \)\(81\!\cdots\!49\)\( T^{12} \))(\( 1 - 2590734 T^{2} + 7157717514399 T^{4} - 10576927881230106084 T^{6} + \)\(14\!\cdots\!51\)\( T^{8} - \)\(10\!\cdots\!34\)\( T^{10} + \)\(81\!\cdots\!49\)\( T^{12} \))(\( 1 - 6260872 T^{2} + 17547242668444 T^{4} - 31297293718759478968 T^{6} + \)\(45\!\cdots\!30\)\( T^{8} - \)\(63\!\cdots\!32\)\( T^{10} + \)\(71\!\cdots\!44\)\( T^{12} - \)\(51\!\cdots\!28\)\( T^{14} + \)\(16\!\cdots\!01\)\( T^{16} \))(\( 1 - 3560332 T^{2} + 5896843750180 T^{4} - 4412996604518385652 T^{6} + \)\(28\!\cdots\!34\)\( T^{8} - \)\(88\!\cdots\!48\)\( T^{10} + \)\(23\!\cdots\!80\)\( T^{12} - \)\(29\!\cdots\!68\)\( T^{14} + \)\(16\!\cdots\!01\)\( T^{16} \))(\( ( 1 - 4000504 T^{2} + 8522048810908 T^{4} - 14167372887863087560 T^{6} + \)\(21\!\cdots\!42\)\( T^{8} - \)\(28\!\cdots\!40\)\( T^{10} + \)\(34\!\cdots\!08\)\( T^{12} - \)\(32\!\cdots\!96\)\( T^{14} + \)\(16\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 - 4497544 T^{2} + 11364966543772 T^{4} - 20266270888532049592 T^{6} + \)\(29\!\cdots\!70\)\( T^{8} - \)\(40\!\cdots\!08\)\( T^{10} + \)\(46\!\cdots\!72\)\( T^{12} - \)\(36\!\cdots\!56\)\( T^{14} + \)\(16\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 + 1811536 T^{2} + 2015993900449 T^{4} )^{2} \))(\( ( 1 + 537586 T^{2} + 2015993900449 T^{4} )^{4} \))(\( ( 1 + 2601586 T^{2} + 2015993900449 T^{4} )^{4} \))
$19$ (\( 1 + 1060 T + 2476099 T^{2} \))(\( 1 + 2308 T + 2476099 T^{2} \))(\( 1 + 1796 T + 2476099 T^{2} \))(\( 1 + 740 T + 2476099 T^{2} \))(\( 1 - 1060 T + 2476099 T^{2} \))(\( 1 - 2860 T + 2476099 T^{2} \))(\( 1 + 916 T + 2476099 T^{2} \))(\( 1 - 1324 T + 2476099 T^{2} \))(\( 1 + 796 T + 2476099 T^{2} \))(\( 1 + 500 T + 2476099 T^{2} \))(\( 1 - 1364 T + 2476099 T^{2} \))(\( 1 - 1204 T + 2476099 T^{2} \))(\( 1 + 356 T + 2476099 T^{2} \))(\( 1 - 532 T + 2476099 T^{2} \))(\( 1 + 1796 T + 2476099 T^{2} \))(\( 1 + 1580 T + 2476099 T^{2} \))(\( 1 + 1420 T + 2476099 T^{2} \))(\( 1 + 1100 T + 2476099 T^{2} \))(\( 1 - 2012 T + 2476099 T^{2} \))(\( 1 + 556 T + 2476099 T^{2} \))(\( 1 + 796 T + 2476099 T^{2} \))(\( 1 - 2740 T + 2476099 T^{2} \))(\( 1 - 2180 T + 2476099 T^{2} \))(\( 1 + 140 T + 2476099 T^{2} \))(\( 1 - 1512 T + 1811734 T^{2} - 3743861688 T^{3} + 6131066257801 T^{4} \))(\( 1 - 1000 T + 4533462 T^{2} - 2476099000 T^{3} + 6131066257801 T^{4} \))(\( 1 - 96 T + 770806 T^{2} - 237705504 T^{3} + 6131066257801 T^{4} \))(\( 1 - 48 T + 3637174 T^{2} - 118852752 T^{3} + 6131066257801 T^{4} \))(\( 1 + 1096 T + 1782102 T^{2} + 2713804504 T^{3} + 6131066257801 T^{4} \))(\( 1 + 1464 T + 1064278 T^{2} + 3625008936 T^{3} + 6131066257801 T^{4} \))(\( 1 - 1512 T + 1811734 T^{2} - 3743861688 T^{3} + 6131066257801 T^{4} \))(\( 1 + 2640 T + 5527222 T^{2} + 6536901360 T^{3} + 6131066257801 T^{4} \))(\( 1 + 1096 T + 1782102 T^{2} + 2713804504 T^{3} + 6131066257801 T^{4} \))(\( 1 - 48 T + 3637174 T^{2} - 118852752 T^{3} + 6131066257801 T^{4} \))(\( 1 + 876 T + 3345081 T^{2} + 3724581832 T^{3} + 8282751719019 T^{4} + 5370814041833676 T^{5} + 15181127029874798299 T^{6} \))(\( 1 + 876 T + 3345081 T^{2} + 3724581832 T^{3} + 8282751719019 T^{4} + 5370814041833676 T^{5} + 15181127029874798299 T^{6} \))(\( ( 1 - 2220 T + 2476099 T^{2} )^{2} \))(\( ( 1 + 12 T + 2476099 T^{2} )^{2} \))(\( ( 1 - 2164 T + 2476099 T^{2} )^{2} \))(\( ( 1 + 2244 T + 2476099 T^{2} )^{2} \))(\( ( 1 + 12 T + 2476099 T^{2} )^{2} \))(\( ( 1 - 220 T + 2476099 T^{2} )^{2} \))(\( ( 1 + 1344 T + 2476099 T^{2} )^{2} \))(\( ( 1 + 1336 T + 5283078 T^{2} + 3308068264 T^{3} + 6131066257801 T^{4} )^{2} \))(\( ( 1 + 120 T + 459398 T^{2} + 297131880 T^{3} + 6131066257801 T^{4} )^{2} \))(\( ( 1 + 2244 T + 2476099 T^{2} )^{4} \))(\( ( 1 - 484 T + 2476099 T^{2} )^{4} \))(\( ( 1 + 144 T + 1911561 T^{2} - 1871015072 T^{3} + 4733214280539 T^{4} + 882873541123344 T^{5} + 15181127029874798299 T^{6} )^{2} \))(\( ( 1 - 3000 T + 7745097 T^{2} - 14027154000 T^{3} + 19177626936603 T^{4} - 18393198773403000 T^{5} + 15181127029874798299 T^{6} )^{2} \))(\( ( 1 + 688 T + 5308396 T^{2} + 6058136368 T^{3} + 15069081422710 T^{4} + 15000545402668432 T^{5} + 32546127598645797196 T^{6} + \)\(10\!\cdots\!12\)\( T^{7} + \)\(37\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 - 1520 T + 8017612 T^{2} - 7503400304 T^{3} + 25990277114806 T^{4} - 18579161989334096 T^{5} + 49156510401340391212 T^{6} - \)\(23\!\cdots\!80\)\( T^{7} + \)\(37\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 + 688 T + 4775596 T^{2} + 1378597168 T^{3} + 11860428984310 T^{4} + 3413543069087632 T^{5} + 29279495496489424396 T^{6} + \)\(10\!\cdots\!12\)\( T^{7} + \)\(37\!\cdots\!01\)\( T^{8} )^{4} \))(\( ( 1 - 6318392 T^{2} + 34316192599228 T^{4} - \)\(11\!\cdots\!44\)\( T^{6} + \)\(34\!\cdots\!70\)\( T^{8} - \)\(73\!\cdots\!44\)\( T^{10} + \)\(12\!\cdots\!28\)\( T^{12} - \)\(14\!\cdots\!92\)\( T^{14} + \)\(14\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 - 2476099 T^{2} )^{4} \))(\( ( 1 - 2055638 T^{2} + 6131066257801 T^{4} )^{4} \))(\( ( 1 - 2153558 T^{2} + 6131066257801 T^{4} )^{4} \))
$23$ (\( 1 - 2976 T + 6436343 T^{2} \))(\( 1 - 2656 T + 6436343 T^{2} \))(\( 1 - 1080 T + 6436343 T^{2} \))(\( 1 - 2376 T + 6436343 T^{2} \))(\( 1 + 4224 T + 6436343 T^{2} \))(\( 1 - 1584 T + 6436343 T^{2} \))(\( 1 + 1552 T + 6436343 T^{2} \))(\( 1 + 852 T + 6436343 T^{2} \))(\( 1 + 1088 T + 6436343 T^{2} \))(\( 1 - 3564 T + 6436343 T^{2} \))(\( 1 - 2198 T + 6436343 T^{2} \))(\( 1 + 3186 T + 6436343 T^{2} \))(\( 1 + 1800 T + 6436343 T^{2} \))(\( 1 + 4584 T + 6436343 T^{2} \))(\( 1 + 1080 T + 6436343 T^{2} \))(\( 1 - 2904 T + 6436343 T^{2} \))(\( 1 - 3216 T + 6436343 T^{2} \))(\( 1 + 1986 T + 6436343 T^{2} \))(\( 1 + 1096 T + 6436343 T^{2} \))(\( 1 - 2182 T + 6436343 T^{2} \))(\( 1 - 488 T + 6436343 T^{2} \))(\( 1 - 1566 T + 6436343 T^{2} \))(\( 1 - 264 T + 6436343 T^{2} \))(\( 1 + 624 T + 6436343 T^{2} \))(\( 1 + 1320 T + 4100206 T^{2} + 8495972760 T^{3} + 41426511213649 T^{4} \))(\( 1 + 2452 T + 6569198 T^{2} + 15781913036 T^{3} + 41426511213649 T^{4} \))(\( 1 - 2984 T + 9255406 T^{2} - 19206047512 T^{3} + 41426511213649 T^{4} \))(\( 1 + 3232 T + 10221742 T^{2} + 20802260576 T^{3} + 41426511213649 T^{4} \))(\( 1 + 3480 T + 15032686 T^{2} + 22398473640 T^{3} + 41426511213649 T^{4} \))(\( 1 + 3216 T + 15222766 T^{2} + 20699279088 T^{3} + 41426511213649 T^{4} \))(\( 1 - 1320 T + 4100206 T^{2} - 8495972760 T^{3} + 41426511213649 T^{4} \))(\( 1 - 40 T - 10021778 T^{2} - 257453720 T^{3} + 41426511213649 T^{4} \))(\( 1 - 3480 T + 15032686 T^{2} - 22398473640 T^{3} + 41426511213649 T^{4} \))(\( 1 - 3232 T + 10221742 T^{2} - 20802260576 T^{3} + 41426511213649 T^{4} \))(\( 1 - 960 T + 15148581 T^{2} - 10843596928 T^{3} + 97501463279283 T^{4} - 39769450765103040 T^{5} + \)\(26\!\cdots\!07\)\( T^{6} \))(\( 1 + 960 T + 15148581 T^{2} + 10843596928 T^{3} + 97501463279283 T^{4} + 39769450765103040 T^{5} + \)\(26\!\cdots\!07\)\( T^{6} \))(\( 1 - 11320170 T^{2} + 41426511213649 T^{4} \))(\( 1 - 8749086 T^{2} + 41426511213649 T^{4} \))(\( 1 - 10950686 T^{2} + 41426511213649 T^{4} \))(\( 1 - 1185810 T^{2} + 41426511213649 T^{4} \))(\( 1 - 8749086 T^{2} + 41426511213649 T^{4} \))(\( 1 - 6946370 T^{2} + 41426511213649 T^{4} \))(\( 1 + 3937314 T^{2} + 41426511213649 T^{4} \))(\( 1 - 7972156 T^{2} + 92735802503718 T^{4} - \)\(33\!\cdots\!44\)\( T^{6} + \)\(17\!\cdots\!01\)\( T^{8} \))(\( 1 - 7282620 T^{2} + 10950776597798 T^{4} - \)\(30\!\cdots\!80\)\( T^{6} + \)\(17\!\cdots\!01\)\( T^{8} \))(\( ( 1 - 12622686 T^{2} + 41426511213649 T^{4} )^{2} \))(\( ( 1 - 7751966 T^{2} + 41426511213649 T^{4} )^{2} \))(\( 1 - 12847386 T^{2} + 119828345726079 T^{4} - \)\(79\!\cdots\!56\)\( T^{6} + \)\(49\!\cdots\!71\)\( T^{8} - \)\(22\!\cdots\!86\)\( T^{10} + \)\(71\!\cdots\!49\)\( T^{12} \))(\( 1 - 24763290 T^{2} + 297081932741247 T^{4} - \)\(22\!\cdots\!20\)\( T^{6} + \)\(12\!\cdots\!03\)\( T^{8} - \)\(42\!\cdots\!90\)\( T^{10} + \)\(71\!\cdots\!49\)\( T^{12} \))(\( 1 - 34675896 T^{2} + 569897415616828 T^{4} - \)\(59\!\cdots\!20\)\( T^{6} + \)\(44\!\cdots\!82\)\( T^{8} - \)\(24\!\cdots\!80\)\( T^{10} + \)\(97\!\cdots\!28\)\( T^{12} - \)\(24\!\cdots\!04\)\( T^{14} + \)\(29\!\cdots\!01\)\( T^{16} \))(\( 1 - 37462776 T^{2} + 688226025523036 T^{4} - \)\(78\!\cdots\!72\)\( T^{6} + \)\(60\!\cdots\!26\)\( T^{8} - \)\(32\!\cdots\!28\)\( T^{10} + \)\(11\!\cdots\!36\)\( T^{12} - \)\(26\!\cdots\!24\)\( T^{14} + \)\(29\!\cdots\!01\)\( T^{16} \))(\( ( 1 - 14927352 T^{2} + 114641830602076 T^{4} - \)\(53\!\cdots\!44\)\( T^{6} + \)\(24\!\cdots\!46\)\( T^{8} - \)\(22\!\cdots\!56\)\( T^{10} + \)\(19\!\cdots\!76\)\( T^{12} - \)\(10\!\cdots\!48\)\( T^{14} + \)\(29\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 + 19672744 T^{2} + 226780697103772 T^{4} + \)\(21\!\cdots\!92\)\( T^{6} + \)\(15\!\cdots\!70\)\( T^{8} + \)\(87\!\cdots\!08\)\( T^{10} + \)\(38\!\cdots\!72\)\( T^{12} + \)\(13\!\cdots\!56\)\( T^{14} + \)\(29\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 - 6436343 T^{2} )^{4} \))(\( ( 1 + 9682934 T^{2} + 41426511213649 T^{4} )^{4} \))(\( ( 1 - 6026506 T^{2} + 41426511213649 T^{4} )^{4} \))
$29$ (\( 1 - 3410 T + 20511149 T^{2} \))(\( 1 + 1198 T + 20511149 T^{2} \))(\( 1 + 5754 T + 20511149 T^{2} \))(\( 1 + 2574 T + 20511149 T^{2} \))(\( 1 - 7890 T + 20511149 T^{2} \))(\( 1 + 1134 T + 20511149 T^{2} \))(\( 1 - 7314 T + 20511149 T^{2} \))(\( 1 + 5902 T + 20511149 T^{2} \))(\( 1 + 46 T + 20511149 T^{2} \))(\( 1 + 2190 T + 20511149 T^{2} \))(\( 1 - 2218 T + 20511149 T^{2} \))(\( 1 + 5526 T + 20511149 T^{2} \))(\( 1 + 714 T + 20511149 T^{2} \))(\( 1 + 938 T + 20511149 T^{2} \))(\( 1 - 5754 T + 20511149 T^{2} \))(\( 1 - 4566 T + 20511149 T^{2} \))(\( 1 - 4150 T + 20511149 T^{2} \))(\( 1 - 5610 T + 20511149 T^{2} \))(\( 1 - 1462 T + 20511149 T^{2} \))(\( 1 - 1578 T + 20511149 T^{2} \))(\( 1 + 7466 T + 20511149 T^{2} \))(\( 1 + 5910 T + 20511149 T^{2} \))(\( 1 + 170 T + 20511149 T^{2} \))(\( 1 - 3126 T + 20511149 T^{2} \))(\( 1 + 1300 T - 17947202 T^{2} + 26664493700 T^{3} + 420707233300201 T^{4} \))(\( 1 + 1340 T - 8758306 T^{2} + 27484939660 T^{3} + 420707233300201 T^{4} \))(\( 1 + 2236 T + 28441822 T^{2} + 45862929164 T^{3} + 420707233300201 T^{4} \))(\( 1 - 1340 T + 41260702 T^{2} - 27484939660 T^{3} + 420707233300201 T^{4} \))(\( 1 - 9420 T + 49324798 T^{2} - 193215023580 T^{3} + 420707233300201 T^{4} \))(\( 1 + 1948 T + 41552158 T^{2} + 39955718252 T^{3} + 420707233300201 T^{4} \))(\( 1 - 1300 T - 17947202 T^{2} - 26664493700 T^{3} + 420707233300201 T^{4} \))(\( 1 + 1940 T + 17567422 T^{2} + 39791629060 T^{3} + 420707233300201 T^{4} \))(\( 1 + 9420 T + 49324798 T^{2} + 193215023580 T^{3} + 420707233300201 T^{4} \))(\( 1 + 1340 T + 41260702 T^{2} + 27484939660 T^{3} + 420707233300201 T^{4} \))(\( 1 + 1710 T + 42734451 T^{2} + 37260127060 T^{3} + 876532691894199 T^{4} + 719409368943343710 T^{5} + \)\(86\!\cdots\!49\)\( T^{6} \))(\( 1 - 1710 T + 42734451 T^{2} - 37260127060 T^{3} + 876532691894199 T^{4} - 719409368943343710 T^{5} + \)\(86\!\cdots\!49\)\( T^{6} \))(\( ( 1 + 270 T + 20511149 T^{2} )^{2} \))(\( ( 1 + 4560 T + 20511149 T^{2} )^{2} \))(\( ( 1 + 20511149 T^{2} )^{2} \))(\( ( 1 + 7854 T + 20511149 T^{2} )^{2} \))(\( ( 1 - 4560 T + 20511149 T^{2} )^{2} \))(\( ( 1 - 6930 T + 20511149 T^{2} )^{2} \))(\( ( 1 + 2646 T + 20511149 T^{2} )^{2} \))(\( ( 1 + 3552 T + 27566938 T^{2} + 72855601248 T^{3} + 420707233300201 T^{4} )^{2} \))(\( ( 1 + 2430 T + 19735498 T^{2} + 49842092070 T^{3} + 420707233300201 T^{4} )^{2} \))(\( ( 1 + 40800682 T^{2} + 420707233300201 T^{4} )^{2} \))(\( ( 1 + 10530298 T^{2} + 420707233300201 T^{4} )^{2} \))(\( ( 1 - 946 T + 36417431 T^{2} - 76110228372 T^{3} + 746963353438219 T^{4} - 397989042701990146 T^{5} + \)\(86\!\cdots\!49\)\( T^{6} )^{2} \))(\( ( 1 - 7962 T + 79928295 T^{2} - 339128680740 T^{3} + 1639421168060955 T^{4} - 3349670991536200362 T^{5} + \)\(86\!\cdots\!49\)\( T^{6} )^{2} \))(\( ( 1 + 2936 T + 58625996 T^{2} + 77951973928 T^{3} + 1466411094282230 T^{4} + 1598884552081323272 T^{5} + \)\(24\!\cdots\!96\)\( T^{6} + \)\(25\!\cdots\!64\)\( T^{7} + \)\(17\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 - 4002 T + 41245860 T^{2} - 2052028782 T^{3} + 531865053741014 T^{4} - 42089468099890518 T^{5} + \)\(17\!\cdots\!60\)\( T^{6} - \)\(34\!\cdots\!98\)\( T^{7} + \)\(17\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 + 50036904 T^{2} + 1677424685662204 T^{4} + \)\(36\!\cdots\!96\)\( T^{6} + \)\(78\!\cdots\!90\)\( T^{8} + \)\(15\!\cdots\!96\)\( T^{10} + \)\(29\!\cdots\!04\)\( T^{12} + \)\(37\!\cdots\!04\)\( T^{14} + \)\(31\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 - 50122840 T^{2} + 1575677283569404 T^{4} - \)\(45\!\cdots\!20\)\( T^{6} + \)\(10\!\cdots\!06\)\( T^{8} - \)\(18\!\cdots\!20\)\( T^{10} + \)\(27\!\cdots\!04\)\( T^{12} - \)\(37\!\cdots\!40\)\( T^{14} + \)\(31\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 - 25263800 T^{2} + 420707233300201 T^{4} )^{2} \))(\( ( 1 - 32518610 T^{2} + 420707233300201 T^{4} )^{4} \))(\( ( 1 - 22319570 T^{2} + 420707233300201 T^{4} )^{4} \))
$31$ (\( 1 - 2448 T + 28629151 T^{2} \))(\( 1 + 9520 T + 28629151 T^{2} \))(\( 1 + 10196 T + 28629151 T^{2} \))(\( 1 - 4576 T + 28629151 T^{2} \))(\( 1 + 5192 T + 28629151 T^{2} \))(\( 1 - 6016 T + 28629151 T^{2} \))(\( 1 - 9312 T + 28629151 T^{2} \))(\( 1 - 3320 T + 28629151 T^{2} \))(\( 1 - 4952 T + 28629151 T^{2} \))(\( 1 + 2312 T + 28629151 T^{2} \))(\( 1 - 1700 T + 28629151 T^{2} \))(\( 1 + 9356 T + 28629151 T^{2} \))(\( 1 + 848 T + 28629151 T^{2} \))(\( 1 - 8360 T + 28629151 T^{2} \))(\( 1 + 10196 T + 28629151 T^{2} \))(\( 1 + 2744 T + 28629151 T^{2} \))(\( 1 - 5688 T + 28629151 T^{2} \))(\( 1 - 3988 T + 28629151 T^{2} \))(\( 1 - 80 T + 28629151 T^{2} \))(\( 1 + 9660 T + 28629151 T^{2} \))(\( 1 + 2728 T + 28629151 T^{2} \))(\( 1 - 6868 T + 28629151 T^{2} \))(\( 1 + 7272 T + 28629151 T^{2} \))(\( 1 - 5176 T + 28629151 T^{2} \))(\( 1 - 5824 T + 58720046 T^{2} - 166736175424 T^{3} + 819628286980801 T^{4} \))(\( 1 - 2248 T + 57017022 T^{2} - 64358331448 T^{3} + 819628286980801 T^{4} \))(\( 1 + 9352 T + 45895742 T^{2} + 267739820152 T^{3} + 819628286980801 T^{4} \))(\( 1 - 6440 T + 62364302 T^{2} - 184371732440 T^{3} + 819628286980801 T^{4} \))(\( 1 + 2992 T + 16983918 T^{2} + 85658419792 T^{3} + 819628286980801 T^{4} \))(\( 1 + 2672 T + 55875902 T^{2} + 76497091472 T^{3} + 819628286980801 T^{4} \))(\( 1 - 5824 T + 58720046 T^{2} - 166736175424 T^{3} + 819628286980801 T^{4} \))(\( 1 + 6328 T + 63242942 T^{2} + 181165267528 T^{3} + 819628286980801 T^{4} \))(\( 1 + 2992 T + 16983918 T^{2} + 85658419792 T^{3} + 819628286980801 T^{4} \))(\( 1 - 6440 T + 62364302 T^{2} - 184371732440 T^{3} + 819628286980801 T^{4} \))(\( 1 + 324 T + 78872013 T^{2} + 13928801848 T^{3} + 2258038769850963 T^{4} + 265559564981779524 T^{5} + \)\(23\!\cdots\!51\)\( T^{6} \))(\( 1 + 324 T + 78872013 T^{2} + 13928801848 T^{3} + 2258038769850963 T^{4} + 265559564981779524 T^{5} + \)\(23\!\cdots\!51\)\( T^{6} \))(\( ( 1 - 2048 T + 28629151 T^{2} )^{2} \))(\( ( 1 - 344 T + 28629151 T^{2} )^{2} \))(\( ( 1 - 8152 T + 28629151 T^{2} )^{2} \))(\( ( 1 - 2144 T + 28629151 T^{2} )^{2} \))(\( ( 1 - 344 T + 28629151 T^{2} )^{2} \))(\( ( 1 + 6752 T + 28629151 T^{2} )^{2} \))(\( ( 1 - 5612 T + 28629151 T^{2} )^{2} \))(\( ( 1 - 11648 T + 90715902 T^{2} - 333472350848 T^{3} + 819628286980801 T^{4} )^{2} \))(\( ( 1 + 11684 T + 90263166 T^{2} + 334503000284 T^{3} + 819628286980801 T^{4} )^{2} \))(\( ( 1 + 3856 T + 28629151 T^{2} )^{4} \))(\( ( 1 + 3608 T + 28629151 T^{2} )^{4} \))(\( ( 1 - 5124 T + 61295997 T^{2} - 221905216248 T^{3} + 1754852353808547 T^{4} - 4199775342489624324 T^{5} + \)\(23\!\cdots\!51\)\( T^{6} )^{2} \))(\( ( 1 + 132 T + 14583261 T^{2} - 226177330952 T^{3} + 417506381241411 T^{4} + 108190933881465732 T^{5} + \)\(23\!\cdots\!51\)\( T^{6} )^{2} \))(\( ( 1 + 2112 T + 80187004 T^{2} + 163080265536 T^{3} + 3196344720873606 T^{4} + 4668849547150239936 T^{5} + \)\(65\!\cdots\!04\)\( T^{6} + \)\(49\!\cdots\!12\)\( T^{7} + \)\(67\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 + 3012 T + 64375804 T^{2} + 104976522036 T^{3} + 1995658050211206 T^{4} + 3005388700823471436 T^{5} + \)\(52\!\cdots\!04\)\( T^{6} + \)\(70\!\cdots\!12\)\( T^{7} + \)\(67\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 - 1056 T + 33747004 T^{2} - 123082635168 T^{3} + 293348622009606 T^{4} - 3523751347702582368 T^{5} + \)\(27\!\cdots\!04\)\( T^{6} - \)\(24\!\cdots\!56\)\( T^{7} + \)\(67\!\cdots\!01\)\( T^{8} )^{4} \))(\( ( 1 - 2469608 T^{2} + 1449586577323228 T^{4} + \)\(32\!\cdots\!44\)\( T^{6} + \)\(83\!\cdots\!70\)\( T^{8} + \)\(26\!\cdots\!44\)\( T^{10} + \)\(97\!\cdots\!28\)\( T^{12} - \)\(13\!\cdots\!08\)\( T^{14} + \)\(45\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 - 28629151 T^{2} )^{4} \))(\( ( 1 - 50741042 T^{2} + 819628286980801 T^{4} )^{4} \))(\( ( 1 - 16682162 T^{2} + 819628286980801 T^{4} )^{4} \))
$37$ (\( 1 - 182 T + 69343957 T^{2} \))(\( 1 - 4470 T + 69343957 T^{2} \))(\( 1 - 5552 T + 69343957 T^{2} \))(\( 1 + 12202 T + 69343957 T^{2} \))(\( 1 - 16382 T + 69343957 T^{2} \))(\( 1 + 538 T + 69343957 T^{2} \))(\( 1 + 8826 T + 69343957 T^{2} \))(\( 1 - 10774 T + 69343957 T^{2} \))(\( 1 + 6114 T + 69343957 T^{2} \))(\( 1 + 11242 T + 69343957 T^{2} \))(\( 1 + 846 T + 69343957 T^{2} \))(\( 1 - 5618 T + 69343957 T^{2} \))(\( 1 + 11302 T + 69343957 T^{2} \))(\( 1 - 1090 T + 69343957 T^{2} \))(\( 1 - 5552 T + 69343957 T^{2} \))(\( 1 - 1442 T + 69343957 T^{2} \))(\( 1 - 6482 T + 69343957 T^{2} \))(\( 1 + 142 T + 69343957 T^{2} \))(\( 1 + 15750 T + 69343957 T^{2} \))(\( 1 + 3534 T + 69343957 T^{2} \))(\( 1 - 7794 T + 69343957 T^{2} \))(\( 1 + 5518 T + 69343957 T^{2} \))(\( 1 + 142 T + 69343957 T^{2} \))(\( 1 - 15698 T + 69343957 T^{2} \))(\( 1 + 12560 T + 102958314 T^{2} + 870960099920 T^{3} + 4808584372417849 T^{4} \))(\( 1 + 5940 T + 123434318 T^{2} + 411903104580 T^{3} + 4808584372417849 T^{4} \))(\( 1 - 10612 T + 133614014 T^{2} - 735878071684 T^{3} + 4808584372417849 T^{4} \))(\( 1 + 6440 T + 77014058 T^{2} + 446575083080 T^{3} + 4808584372417849 T^{4} \))(\( 1 + 7520 T + 121591914 T^{2} + 521466556640 T^{3} + 4808584372417849 T^{4} \))(\( 1 - 8668 T + 89387694 T^{2} - 601073419276 T^{3} + 4808584372417849 T^{4} \))(\( 1 + 12560 T + 102958314 T^{2} + 870960099920 T^{3} + 4808584372417849 T^{4} \))(\( 1 - 3532 T + 112622270 T^{2} - 244922856124 T^{3} + 4808584372417849 T^{4} \))(\( 1 + 7520 T + 121591914 T^{2} + 521466556640 T^{3} + 4808584372417849 T^{4} \))(\( 1 + 6440 T + 77014058 T^{2} + 446575083080 T^{3} + 4808584372417849 T^{4} \))(\( 1 - 10320 T + 189184575 T^{2} - 1131781251360 T^{3} + 13118807033863275 T^{4} - 49624590723352201680 T^{5} + \)\(33\!\cdots\!93\)\( T^{6} \))(\( 1 - 10320 T + 189184575 T^{2} - 1131781251360 T^{3} + 13118807033863275 T^{4} - 49624590723352201680 T^{5} + \)\(33\!\cdots\!93\)\( T^{6} \))(\( 1 - 119573530 T^{2} + 4808584372417849 T^{4} \))(\( 1 - 119558314 T^{2} + 4808584372417849 T^{4} \))(\( ( 1 - 69343957 T^{2} )^{2} \))(\( 1 - 30515770 T^{2} + 4808584372417849 T^{4} \))(\( 1 - 119558314 T^{2} + 4808584372417849 T^{4} \))(\( 1 + 56462470 T^{2} + 4808584372417849 T^{4} \))(\( 1 - 85572970 T^{2} + 4808584372417849 T^{4} \))(\( 1 - 162528844 T^{2} + 15468333779588118 T^{4} - \)\(78\!\cdots\!56\)\( T^{6} + \)\(23\!\cdots\!01\)\( T^{8} \))(\( 1 - 100197680 T^{2} + 8640930841305198 T^{4} - \)\(48\!\cdots\!20\)\( T^{6} + \)\(23\!\cdots\!01\)\( T^{8} \))(\( ( 1 - 89804410 T^{2} + 4808584372417849 T^{4} )^{2} \))(\( ( 1 - 83802314 T^{2} + 4808584372417849 T^{4} )^{2} \))(\( 1 - 290752854 T^{2} + 38769784471186119 T^{4} - \)\(32\!\cdots\!24\)\( T^{6} + \)\(18\!\cdots\!31\)\( T^{8} - \)\(67\!\cdots\!54\)\( T^{10} + \)\(11\!\cdots\!49\)\( T^{12} \))(\( 1 - 244387830 T^{2} + 33585500520578247 T^{4} - \)\(28\!\cdots\!40\)\( T^{6} + \)\(16\!\cdots\!03\)\( T^{8} - \)\(56\!\cdots\!30\)\( T^{10} + \)\(11\!\cdots\!49\)\( T^{12} \))(\( 1 - 251774632 T^{2} + 38631208311838780 T^{4} - \)\(41\!\cdots\!52\)\( T^{6} + \)\(32\!\cdots\!34\)\( T^{8} - \)\(19\!\cdots\!48\)\( T^{10} + \)\(89\!\cdots\!80\)\( T^{12} - \)\(27\!\cdots\!68\)\( T^{14} + \)\(53\!\cdots\!01\)\( T^{16} \))(\( 1 - 335599612 T^{2} + 58713287095888324 T^{4} - \)\(67\!\cdots\!68\)\( T^{6} + \)\(54\!\cdots\!30\)\( T^{8} - \)\(32\!\cdots\!32\)\( T^{10} + \)\(13\!\cdots\!24\)\( T^{12} - \)\(37\!\cdots\!88\)\( T^{14} + \)\(53\!\cdots\!01\)\( T^{16} \))(\( ( 1 - 156602728 T^{2} + 10376850454113724 T^{4} - \)\(10\!\cdots\!36\)\( T^{6} + \)\(10\!\cdots\!58\)\( T^{8} - \)\(52\!\cdots\!64\)\( T^{10} + \)\(23\!\cdots\!24\)\( T^{12} - \)\(17\!\cdots\!72\)\( T^{14} + \)\(53\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 + 10360 T + 216971560 T^{2} + 1648307488120 T^{3} + 21750503127272098 T^{4} + \)\(11\!\cdots\!40\)\( T^{5} + \)\(10\!\cdots\!40\)\( T^{6} + \)\(34\!\cdots\!80\)\( T^{7} + \)\(23\!\cdots\!01\)\( T^{8} )^{4} \))(\( ( 1 - 12242 T + 69343957 T^{2} )^{2}( 1 + 12242 T + 69343957 T^{2} )^{2} \))(\( ( 1 + 54409660 T^{2} + 4808584372417849 T^{4} )^{4} \))(\( ( 1 - 99916100 T^{2} + 4808584372417849 T^{4} )^{4} \))
$41$ (\( 1 - 9398 T + 115856201 T^{2} \))(\( 1 - 6198 T + 115856201 T^{2} \))(\( 1 + 12960 T + 115856201 T^{2} \))(\( 1 - 10230 T + 115856201 T^{2} \))(\( 1 + 3642 T + 115856201 T^{2} \))(\( 1 + 11370 T + 115856201 T^{2} \))(\( 1 - 3286 T + 115856201 T^{2} \))(\( 1 - 17958 T + 115856201 T^{2} \))(\( 1 - 6 T + 115856201 T^{2} \))(\( 1 + 1242 T + 115856201 T^{2} \))(\( 1 - 1818 T + 115856201 T^{2} \))(\( 1 - 14394 T + 115856201 T^{2} \))(\( 1 + 9354 T + 115856201 T^{2} \))(\( 1 - 11238 T + 115856201 T^{2} \))(\( 1 - 12960 T + 115856201 T^{2} \))(\( 1 - 13350 T + 115856201 T^{2} \))(\( 1 + 5402 T + 115856201 T^{2} \))(\( 1 + 1542 T + 115856201 T^{2} \))(\( 1 - 2358 T + 115856201 T^{2} \))(\( 1 + 7462 T + 115856201 T^{2} \))(\( 1 + 18234 T + 115856201 T^{2} \))(\( 1 - 378 T + 115856201 T^{2} \))(\( 1 - 16198 T + 115856201 T^{2} \))(\( 1 + 12570 T + 115856201 T^{2} \))(\( 1 + 400 T + 164704402 T^{2} + 46342480400 T^{3} + 13422659310152401 T^{4} \))(\( 1 + 23076 T + 352280470 T^{2} + 2673497694276 T^{3} + 13422659310152401 T^{4} \))(\( 1 + 17156 T + 298517590 T^{2} + 1987628984356 T^{3} + 13422659310152401 T^{4} \))(\( 1 + 9680 T + 219564178 T^{2} + 1121488025680 T^{3} + 13422659310152401 T^{4} \))(\( 1 - 27120 T + 384352402 T^{2} - 3142020171120 T^{3} + 13422659310152401 T^{4} \))(\( 1 - 7628 T + 215999542 T^{2} - 883751101228 T^{3} + 13422659310152401 T^{4} \))(\( 1 - 400 T + 164704402 T^{2} - 46342480400 T^{3} + 13422659310152401 T^{4} \))(\( 1 + 2404 T - 34529258 T^{2} + 278518307204 T^{3} + 13422659310152401 T^{4} \))(\( 1 + 27120 T + 384352402 T^{2} + 3142020171120 T^{3} + 13422659310152401 T^{4} \))(\( 1 - 9680 T + 219564178 T^{2} - 1121488025680 T^{3} + 13422659310152401 T^{4} \))(\( 1 + 4080 T + 108883419 T^{2} + 42537842400 T^{3} + 12614819277231219 T^{4} + 54764449985421796080 T^{5} + \)\(15\!\cdots\!01\)\( T^{6} \))(\( 1 - 4080 T + 108883419 T^{2} - 42537842400 T^{3} + 12614819277231219 T^{4} - 54764449985421796080 T^{5} + \)\(15\!\cdots\!01\)\( T^{6} \))(\( ( 1 - 2398 T + 115856201 T^{2} )^{2} \))(\( ( 1 + 14240 T + 115856201 T^{2} )^{2} \))(\( ( 1 + 115856201 T^{2} )^{2} \))(\( ( 1 - 7414 T + 115856201 T^{2} )^{2} \))(\( ( 1 - 14240 T + 115856201 T^{2} )^{2} \))(\( ( 1 - 198 T + 115856201 T^{2} )^{2} \))(\( ( 1 - 18986 T + 115856201 T^{2} )^{2} \))(\( ( 1 + 1812 T + 29066422 T^{2} + 209931436212 T^{3} + 13422659310152401 T^{4} )^{2} \))(\( ( 1 + 24984 T + 351666366 T^{2} + 2894551325784 T^{3} + 13422659310152401 T^{4} )^{2} \))(\( ( 1 + 139752402 T^{2} + 13422659310152401 T^{4} )^{2} \))(\( ( 1 + 109744402 T^{2} + 13422659310152401 T^{4} )^{2} \))(\( ( 1 - 662 T + 143511479 T^{2} - 442940770164 T^{3} + 16626694756831279 T^{4} - 8885800463320889462 T^{5} + \)\(15\!\cdots\!01\)\( T^{6} )^{2} \))(\( ( 1 + 8170 T + 309202103 T^{2} + 1569581651340 T^{3} + 35822980994790703 T^{4} + \)\(10\!\cdots\!70\)\( T^{5} + \)\(15\!\cdots\!01\)\( T^{6} )^{2} \))(\( ( 1 + 11800 T + 337909340 T^{2} + 2943020124776 T^{3} + 51155654972384870 T^{4} + \)\(34\!\cdots\!76\)\( T^{5} + \)\(45\!\cdots\!40\)\( T^{6} + \)\(18\!\cdots\!00\)\( T^{7} + \)\(18\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 - 18900 T + 417574740 T^{2} - 5341513264524 T^{3} + 73890473527486070 T^{4} - \)\(61\!\cdots\!24\)\( T^{5} + \)\(56\!\cdots\!40\)\( T^{6} - \)\(29\!\cdots\!00\)\( T^{7} + \)\(18\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 + 458567496 T^{2} + 120108387972394204 T^{4} + \)\(21\!\cdots\!04\)\( T^{6} + \)\(28\!\cdots\!90\)\( T^{8} + \)\(28\!\cdots\!04\)\( T^{10} + \)\(21\!\cdots\!04\)\( T^{12} + \)\(11\!\cdots\!96\)\( T^{14} + \)\(32\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 - 611134720 T^{2} + 188021635148577604 T^{4} - \)\(37\!\cdots\!60\)\( T^{6} + \)\(50\!\cdots\!06\)\( T^{8} - \)\(49\!\cdots\!60\)\( T^{10} + \)\(33\!\cdots\!04\)\( T^{12} - \)\(14\!\cdots\!20\)\( T^{14} + \)\(32\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 - 103744400 T^{2} + 13422659310152401 T^{4} )^{2} \))(\( ( 1 - 146978240 T^{2} + 13422659310152401 T^{4} )^{4} \))(\( ( 1 - 60550400 T^{2} + 13422659310152401 T^{4} )^{4} \))
$43$ (\( 1 - 1244 T + 147008443 T^{2} \))(\( 1 - 6332 T + 147008443 T^{2} \))(\( 1 - 8968 T + 147008443 T^{2} \))(\( 1 - 16084 T + 147008443 T^{2} \))(\( 1 + 15116 T + 147008443 T^{2} \))(\( 1 + 5444 T + 147008443 T^{2} \))(\( 1 + 7556 T + 147008443 T^{2} \))(\( 1 + 9264 T + 147008443 T^{2} \))(\( 1 - 24116 T + 147008443 T^{2} \))(\( 1 + 20624 T + 147008443 T^{2} \))(\( 1 + 10534 T + 147008443 T^{2} \))(\( 1 - 370 T + 147008443 T^{2} \))(\( 1 - 5956 T + 147008443 T^{2} \))(\( 1 - 7692 T + 147008443 T^{2} \))(\( 1 - 8968 T + 147008443 T^{2} \))(\( 1 + 17204 T + 147008443 T^{2} \))(\( 1 - 21764 T + 147008443 T^{2} \))(\( 1 - 5026 T + 147008443 T^{2} \))(\( 1 + 2812 T + 147008443 T^{2} \))(\( 1 - 7114 T + 147008443 T^{2} \))(\( 1 - 2444 T + 147008443 T^{2} \))(\( 1 - 2434 T + 147008443 T^{2} \))(\( 1 - 10316 T + 147008443 T^{2} \))(\( 1 + 11516 T + 147008443 T^{2} \))(\( 1 + 25680 T + 399490486 T^{2} + 3775176816240 T^{3} + 21611482313284249 T^{4} \))(\( 1 + 17684 T + 312898614 T^{2} + 2599697306012 T^{3} + 21611482313284249 T^{4} \))(\( 1 + 440 T + 1414022 T^{2} + 64683714920 T^{3} + 21611482313284249 T^{4} \))(\( 1 - 19360 T + 382456886 T^{2} - 2846083456480 T^{3} + 21611482313284249 T^{4} \))(\( 1 + 4720 T + 232399542 T^{2} + 693879850960 T^{3} + 21611482313284249 T^{4} \))(\( 1 - 16440 T + 361166470 T^{2} - 2416818802920 T^{3} + 21611482313284249 T^{4} \))(\( 1 + 25680 T + 399490486 T^{2} + 3775176816240 T^{3} + 21611482313284249 T^{4} \))(\( 1 + 31928 T + 510747782 T^{2} + 4693685568104 T^{3} + 21611482313284249 T^{4} \))(\( 1 + 4720 T + 232399542 T^{2} + 693879850960 T^{3} + 21611482313284249 T^{4} \))(\( 1 - 19360 T + 382456886 T^{2} - 2846083456480 T^{3} + 21611482313284249 T^{4} \))(\( 1 - 1752 T + 208706289 T^{2} - 626926262672 T^{3} + 30681586590198027 T^{4} - 37863317012874004248 T^{5} + \)\(31\!\cdots\!07\)\( T^{6} \))(\( 1 - 1752 T + 208706289 T^{2} - 626926262672 T^{3} + 30681586590198027 T^{4} - 37863317012874004248 T^{5} + \)\(31\!\cdots\!07\)\( T^{6} \))(\( 1 - 288754450 T^{2} + 21611482313284249 T^{4} \))(\( 1 + 66775178 T^{2} + 21611482313284249 T^{4} \))(\( ( 1 - 147008443 T^{2} )^{2} \))(\( 1 + 21442214 T^{2} + 21611482313284249 T^{4} \))(\( 1 + 66775178 T^{2} + 21611482313284249 T^{4} \))(\( 1 - 293842250 T^{2} + 21611482313284249 T^{4} \))(\( 1 - 288237670 T^{2} + 21611482313284249 T^{4} \))(\( 1 - 479075020 T^{2} + 98304124357654998 T^{4} - \)\(10\!\cdots\!80\)\( T^{6} + \)\(46\!\cdots\!01\)\( T^{8} \))(\( 1 - 100144460 T^{2} - 11465052277897002 T^{4} - \)\(21\!\cdots\!40\)\( T^{6} + \)\(46\!\cdots\!01\)\( T^{8} \))(\( ( 1 - 265922422 T^{2} + 21611482313284249 T^{4} )^{2} \))(\( ( 1 - 135962486 T^{2} + 21611482313284249 T^{4} )^{2} \))(\( 1 - 502572210 T^{2} + 127464803683947447 T^{4} - \)\(22\!\cdots\!80\)\( T^{6} + \)\(27\!\cdots\!03\)\( T^{8} - \)\(23\!\cdots\!10\)\( T^{10} + \)\(10\!\cdots\!49\)\( T^{12} \))(\( 1 - 45276210 T^{2} + 44529111123627447 T^{4} - \)\(19\!\cdots\!80\)\( T^{6} + \)\(96\!\cdots\!03\)\( T^{8} - \)\(21\!\cdots\!10\)\( T^{10} + \)\(10\!\cdots\!49\)\( T^{12} \))(\( 1 - 283211672 T^{2} + 48021567531024796 T^{4} - \)\(54\!\cdots\!84\)\( T^{6} + \)\(43\!\cdots\!06\)\( T^{8} - \)\(11\!\cdots\!16\)\( T^{10} + \)\(22\!\cdots\!96\)\( T^{12} - \)\(28\!\cdots\!28\)\( T^{14} + \)\(21\!\cdots\!01\)\( T^{16} \))(\( 1 - 780729368 T^{2} + 303614042895665980 T^{4} - \)\(75\!\cdots\!48\)\( T^{6} + \)\(13\!\cdots\!34\)\( T^{8} - \)\(16\!\cdots\!52\)\( T^{10} + \)\(14\!\cdots\!80\)\( T^{12} - \)\(78\!\cdots\!32\)\( T^{14} + \)\(21\!\cdots\!01\)\( T^{16} \))(\( ( 1 - 624453080 T^{2} + 189664879587817660 T^{4} - \)\(38\!\cdots\!52\)\( T^{6} + \)\(61\!\cdots\!10\)\( T^{8} - \)\(83\!\cdots\!48\)\( T^{10} + \)\(88\!\cdots\!60\)\( T^{12} - \)\(63\!\cdots\!20\)\( T^{14} + \)\(21\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 - 713743544 T^{2} + 265377269187301372 T^{4} - \)\(63\!\cdots\!92\)\( T^{6} + \)\(11\!\cdots\!70\)\( T^{8} - \)\(13\!\cdots\!08\)\( T^{10} + \)\(12\!\cdots\!72\)\( T^{12} - \)\(72\!\cdots\!56\)\( T^{14} + \)\(21\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 + 147008443 T^{2} )^{4} \))(\( ( 1 - 169915474 T^{2} + 21611482313284249 T^{4} )^{4} \))(\( ( 1 + 211523246 T^{2} + 21611482313284249 T^{4} )^{4} \))
$47$ (\( 1 + 12088 T + 229345007 T^{2} \))(\( 1 - 14920 T + 229345007 T^{2} \))(\( 1 - 5400 T + 229345007 T^{2} \))(\( 1 - 864 T + 229345007 T^{2} \))(\( 1 - 23592 T + 229345007 T^{2} \))(\( 1 - 10296 T + 229345007 T^{2} \))(\( 1 + 5960 T + 229345007 T^{2} \))(\( 1 + 9796 T + 229345007 T^{2} \))(\( 1 - 13480 T + 229345007 T^{2} \))(\( 1 - 6588 T + 229345007 T^{2} \))(\( 1 - 12074 T + 229345007 T^{2} \))(\( 1 - 16146 T + 229345007 T^{2} \))(\( 1 + 11160 T + 229345007 T^{2} \))(\( 1 + 13640 T + 229345007 T^{2} \))(\( 1 + 5400 T + 229345007 T^{2} \))(\( 1 + 10824 T + 229345007 T^{2} \))(\( 1 + 368 T + 229345007 T^{2} \))(\( 1 - 24738 T + 229345007 T^{2} \))(\( 1 + 7960 T + 229345007 T^{2} \))(\( 1 + 28294 T + 229345007 T^{2} \))(\( 1 + 2200 T + 229345007 T^{2} \))(\( 1 - 13122 T + 229345007 T^{2} \))(\( 1 - 18568 T + 229345007 T^{2} \))(\( 1 + 26736 T + 229345007 T^{2} \))(\( 1 - 18920 T + 546954334 T^{2} - 4339207532440 T^{3} + 52599132235830049 T^{4} \))(\( 1 + 2908 T + 56660030 T^{2} + 666935280356 T^{3} + 52599132235830049 T^{4} \))(\( 1 + 16728 T + 499568094 T^{2} + 3836483277096 T^{3} + 52599132235830049 T^{4} \))(\( 1 - 15024 T + 178326558 T^{2} - 3445679385168 T^{3} + 52599132235830049 T^{4} \))(\( 1 + 38280 T + 720050014 T^{2} + 8779326867960 T^{3} + 52599132235830049 T^{4} \))(\( 1 + 19360 T + 397194910 T^{2} + 4440119335520 T^{3} + 52599132235830049 T^{4} \))(\( 1 + 18920 T + 546954334 T^{2} + 4339207532440 T^{3} + 52599132235830049 T^{4} \))(\( 1 - 38232 T + 811508574 T^{2} - 8768318307624 T^{3} + 52599132235830049 T^{4} \))(\( 1 - 38280 T + 720050014 T^{2} - 8779326867960 T^{3} + 52599132235830049 T^{4} \))(\( 1 + 15024 T + 178326558 T^{2} + 3445679385168 T^{3} + 52599132235830049 T^{4} \))(\( 1 + 8976 T + 403529613 T^{2} + 2395450153952 T^{3} + 92547501918192291 T^{4} + \)\(47\!\cdots\!24\)\( T^{5} + \)\(12\!\cdots\!43\)\( T^{6} \))(\( 1 - 8976 T + 403529613 T^{2} - 2395450153952 T^{3} + 92547501918192291 T^{4} - \)\(47\!\cdots\!24\)\( T^{5} + \)\(12\!\cdots\!43\)\( T^{6} \))(\( 1 - 344584890 T^{2} + 52599132235830049 T^{4} \))(\( 1 + 142745586 T^{2} + 52599132235830049 T^{4} \))(\( 1 - 311808014 T^{2} + 52599132235830049 T^{4} \))(\( 1 - 369731298 T^{2} + 52599132235830049 T^{4} \))(\( 1 + 142745586 T^{2} + 52599132235830049 T^{4} \))(\( 1 - 347593490 T^{2} + 52599132235830049 T^{4} \))(\( 1 - 379480014 T^{2} + 52599132235830049 T^{4} \))(\( 1 - 838308220 T^{2} + 280500950197161798 T^{4} - \)\(44\!\cdots\!80\)\( T^{6} + \)\(27\!\cdots\!01\)\( T^{8} \))(\( 1 - 826473900 T^{2} + 275763720563232998 T^{4} - \)\(43\!\cdots\!00\)\( T^{6} + \)\(27\!\cdots\!01\)\( T^{8} \))(\( ( 1 - 62680014 T^{2} + 52599132235830049 T^{4} )^{2} \))(\( ( 1 - 367610894 T^{2} + 52599132235830049 T^{4} )^{2} \))(\( 1 - 288722058 T^{2} + 116437215277524783 T^{4} - \)\(17\!\cdots\!64\)\( T^{6} + \)\(61\!\cdots\!67\)\( T^{8} - \)\(79\!\cdots\!58\)\( T^{10} + \)\(14\!\cdots\!49\)\( T^{12} \))(\( 1 + 124421046 T^{2} + 29946698142211119 T^{4} + \)\(15\!\cdots\!76\)\( T^{6} + \)\(15\!\cdots\!31\)\( T^{8} + \)\(34\!\cdots\!46\)\( T^{10} + \)\(14\!\cdots\!49\)\( T^{12} \))(\( 1 - 963352312 T^{2} + 473832864723586300 T^{4} - \)\(15\!\cdots\!72\)\( T^{6} + \)\(40\!\cdots\!54\)\( T^{8} - \)\(83\!\cdots\!28\)\( T^{10} + \)\(13\!\cdots\!00\)\( T^{12} - \)\(14\!\cdots\!88\)\( T^{14} + \)\(76\!\cdots\!01\)\( T^{16} \))(\( 1 - 948364072 T^{2} + 448732834702283644 T^{4} - \)\(14\!\cdots\!68\)\( T^{6} + \)\(38\!\cdots\!30\)\( T^{8} - \)\(78\!\cdots\!32\)\( T^{10} + \)\(12\!\cdots\!44\)\( T^{12} - \)\(13\!\cdots\!28\)\( T^{14} + \)\(76\!\cdots\!01\)\( T^{16} \))(\( ( 1 - 1310013880 T^{2} + 842382244428730396 T^{4} - \)\(33\!\cdots\!60\)\( T^{6} + \)\(93\!\cdots\!06\)\( T^{8} - \)\(17\!\cdots\!40\)\( T^{10} + \)\(23\!\cdots\!96\)\( T^{12} - \)\(19\!\cdots\!20\)\( T^{14} + \)\(76\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 + 490608856 T^{2} + 97723181521892572 T^{4} + \)\(12\!\cdots\!08\)\( T^{6} + \)\(25\!\cdots\!70\)\( T^{8} + \)\(66\!\cdots\!92\)\( T^{10} + \)\(27\!\cdots\!72\)\( T^{12} + \)\(71\!\cdots\!44\)\( T^{14} + \)\(76\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 - 229345007 T^{2} )^{4} \))(\( ( 1 - 458260894 T^{2} + 52599132235830049 T^{4} )^{4} \))(\( ( 1 - 349151134 T^{2} + 52599132235830049 T^{4} )^{4} \))
$53$ (\( 1 + 23846 T + 418195493 T^{2} \))(\( 1 + 38310 T + 418195493 T^{2} \))(\( 1 - 8214 T + 418195493 T^{2} \))(\( 1 - 17658 T + 418195493 T^{2} \))(\( 1 - 16074 T + 418195493 T^{2} \))(\( 1 + 34758 T + 418195493 T^{2} \))(\( 1 - 8698 T + 418195493 T^{2} \))(\( 1 - 31434 T + 418195493 T^{2} \))(\( 1 + 20598 T + 418195493 T^{2} \))(\( 1 - 21066 T + 418195493 T^{2} \))(\( 1 + 32586 T + 418195493 T^{2} \))(\( 1 - 4374 T + 418195493 T^{2} \))(\( 1 + 14106 T + 418195493 T^{2} \))(\( 1 + 19050 T + 418195493 T^{2} \))(\( 1 + 8214 T + 418195493 T^{2} \))(\( 1 - 9942 T + 418195493 T^{2} \))(\( 1 + 12586 T + 418195493 T^{2} \))(\( 1 - 14166 T + 418195493 T^{2} \))(\( 1 - 7590 T + 418195493 T^{2} \))(\( 1 - 13046 T + 418195493 T^{2} \))(\( 1 + 10122 T + 418195493 T^{2} \))(\( 1 - 9174 T + 418195493 T^{2} \))(\( 1 + 21514 T + 418195493 T^{2} \))(\( 1 - 19158 T + 418195493 T^{2} \))(\( 1 + 49460 T + 1434563566 T^{2} + 20683949083780 T^{3} + 174887470365513049 T^{4} \))(\( 1 - 5412 T + 693247822 T^{2} - 2263274008116 T^{3} + 174887470365513049 T^{4} \))(\( 1 + 31484 T + 851712526 T^{2} + 13166466901612 T^{3} + 174887470365513049 T^{4} \))(\( 1 + 1844 T + 311001070 T^{2} + 771152489092 T^{3} + 174887470365513049 T^{4} \))(\( 1 - 53580 T + 1540213486 T^{2} - 22406914514940 T^{3} + 174887470365513049 T^{4} \))(\( 1 - 14356 T + 360101806 T^{2} - 6003614497508 T^{3} + 174887470365513049 T^{4} \))(\( 1 - 49460 T + 1434563566 T^{2} - 20683949083780 T^{3} + 174887470365513049 T^{4} \))(\( 1 - 24572 T + 952934926 T^{2} - 10275899653996 T^{3} + 174887470365513049 T^{4} \))(\( 1 + 53580 T + 1540213486 T^{2} + 22406914514940 T^{3} + 174887470365513049 T^{4} \))(\( 1 - 1844 T + 311001070 T^{2} - 771152489092 T^{3} + 174887470365513049 T^{4} \))(\( 1 - 16098 T + 974021019 T^{2} - 9312300047724 T^{3} + 407331200233067367 T^{4} - \)\(28\!\cdots\!02\)\( T^{5} + \)\(73\!\cdots\!57\)\( T^{6} \))(\( 1 + 16098 T + 974021019 T^{2} + 9312300047724 T^{3} + 407331200233067367 T^{4} + \)\(28\!\cdots\!02\)\( T^{5} + \)\(73\!\cdots\!57\)\( T^{6} \))(\( 1 - 827605690 T^{2} + 174887470365513049 T^{4} \))(\( 1 - 84864886 T^{2} + 174887470365513049 T^{4} \))(\( 1 + 836229514 T^{2} + 174887470365513049 T^{4} \))(\( 1 - 248174170 T^{2} + 174887470365513049 T^{4} \))(\( 1 - 84864886 T^{2} + 174887470365513049 T^{4} \))(\( 1 - 802472090 T^{2} + 174887470365513049 T^{4} \))(\( 1 + 747967430 T^{2} + 174887470365513049 T^{4} \))(\( 1 - 1246752076 T^{2} + 694077861298212438 T^{4} - \)\(21\!\cdots\!24\)\( T^{6} + \)\(30\!\cdots\!01\)\( T^{8} \))(\( 1 - 809517920 T^{2} + 441417135624894798 T^{4} - \)\(14\!\cdots\!80\)\( T^{6} + \)\(30\!\cdots\!01\)\( T^{8} \))(\( ( 1 - 835077670 T^{2} + 174887470365513049 T^{4} )^{2} \))(\( ( 1 - 813621206 T^{2} + 174887470365513049 T^{4} )^{2} \))(\( 1 - 1963456710 T^{2} + 1786491383741543655 T^{4} - \)\(95\!\cdots\!64\)\( T^{6} + \)\(31\!\cdots\!95\)\( T^{8} - \)\(60\!\cdots\!10\)\( T^{10} + \)\(53\!\cdots\!49\)\( T^{12} \))(\( 1 - 2370975366 T^{2} + 2397301328123693799 T^{4} - \)\(13\!\cdots\!16\)\( T^{6} + \)\(41\!\cdots\!51\)\( T^{8} - \)\(72\!\cdots\!66\)\( T^{10} + \)\(53\!\cdots\!49\)\( T^{12} \))(\( 1 - 1183385640 T^{2} + 874785099161623996 T^{4} - \)\(49\!\cdots\!80\)\( T^{6} + \)\(23\!\cdots\!06\)\( T^{8} - \)\(86\!\cdots\!20\)\( T^{10} + \)\(26\!\cdots\!96\)\( T^{12} - \)\(63\!\cdots\!60\)\( T^{14} + \)\(93\!\cdots\!01\)\( T^{16} \))(\( 1 - 383978028 T^{2} + 680329857618443044 T^{4} - \)\(19\!\cdots\!32\)\( T^{6} + \)\(17\!\cdots\!30\)\( T^{8} - \)\(34\!\cdots\!68\)\( T^{10} + \)\(20\!\cdots\!44\)\( T^{12} - \)\(20\!\cdots\!72\)\( T^{14} + \)\(93\!\cdots\!01\)\( T^{16} \))(\( ( 1 - 2574268056 T^{2} + 3122678417422540348 T^{4} - \)\(23\!\cdots\!00\)\( T^{6} + \)\(11\!\cdots\!62\)\( T^{8} - \)\(40\!\cdots\!00\)\( T^{10} + \)\(95\!\cdots\!48\)\( T^{12} - \)\(13\!\cdots\!44\)\( T^{14} + \)\(93\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 - 2500859656 T^{2} + 2966986569556270972 T^{4} - \)\(21\!\cdots\!08\)\( T^{6} + \)\(10\!\cdots\!70\)\( T^{8} - \)\(38\!\cdots\!92\)\( T^{10} + \)\(90\!\cdots\!72\)\( T^{12} - \)\(13\!\cdots\!44\)\( T^{14} + \)\(93\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 - 293539736 T^{2} + 174887470365513049 T^{4} )^{2} \))(\( ( 1 - 417971126 T^{2} + 174887470365513049 T^{4} )^{4} \))(\( ( 1 + 780846154 T^{2} + 174887470365513049 T^{4} )^{4} \))
$59$ (\( 1 + 20020 T + 714924299 T^{2} \))(\( 1 - 11564 T + 714924299 T^{2} \))(\( 1 + 3954 T + 714924299 T^{2} \))(\( 1 - 48684 T + 714924299 T^{2} \))(\( 1 + 14340 T + 714924299 T^{2} \))(\( 1 + 26196 T + 714924299 T^{2} \))(\( 1 + 42036 T + 714924299 T^{2} \))(\( 1 - 33228 T + 714924299 T^{2} \))(\( 1 + 46756 T + 714924299 T^{2} \))(\( 1 - 7980 T + 714924299 T^{2} \))(\( 1 - 8668 T + 714924299 T^{2} \))(\( 1 + 11748 T + 714924299 T^{2} \))(\( 1 - 7920 T + 714924299 T^{2} \))(\( 1 + 18936 T + 714924299 T^{2} \))(\( 1 - 3954 T + 714924299 T^{2} \))(\( 1 + 15576 T + 714924299 T^{2} \))(\( 1 + 25520 T + 714924299 T^{2} \))(\( 1 - 28380 T + 714924299 T^{2} \))(\( 1 - 18064 T + 714924299 T^{2} \))(\( 1 + 37092 T + 714924299 T^{2} \))(\( 1 + 6776 T + 714924299 T^{2} \))(\( 1 + 34980 T + 714924299 T^{2} \))(\( 1 - 34600 T + 714924299 T^{2} \))(\( 1 - 27984 T + 714924299 T^{2} \))(\( 1 - 63200 T + 2393594098 T^{2} - 45183215696800 T^{3} + 511116753300641401 T^{4} \))(\( 1 - 62584 T + 2277965606 T^{2} - 44742822328616 T^{3} + 511116753300641401 T^{4} \))(\( 1 + 61464 T + 2273480806 T^{2} + 43942107113736 T^{3} + 511116753300641401 T^{4} \))(\( 1 + 12840 T + 732105634 T^{2} + 9179627999160 T^{3} + 511116753300641401 T^{4} \))(\( 1 + 46800 T + 1321286098 T^{2} + 33458457193200 T^{3} + 511116753300641401 T^{4} \))(\( 1 + 904 T + 361967398 T^{2} + 646291566296 T^{3} + 511116753300641401 T^{4} \))(\( 1 + 63200 T + 2393594098 T^{2} + 45183215696800 T^{3} + 511116753300641401 T^{4} \))(\( 1 - 5184 T + 1405691158 T^{2} - 3706167566016 T^{3} + 511116753300641401 T^{4} \))(\( 1 - 46800 T + 1321286098 T^{2} - 33458457193200 T^{3} + 511116753300641401 T^{4} \))(\( 1 - 12840 T + 732105634 T^{2} - 9179627999160 T^{3} + 511116753300641401 T^{4} \))(\( 1 + 23106 T + 1088276733 T^{2} + 11148915546724 T^{3} + 778035480458035167 T^{4} + \)\(11\!\cdots\!06\)\( T^{5} + \)\(36\!\cdots\!99\)\( T^{6} \))(\( 1 - 23106 T + 1088276733 T^{2} - 11148915546724 T^{3} + 778035480458035167 T^{4} - \)\(11\!\cdots\!06\)\( T^{5} + \)\(36\!\cdots\!99\)\( T^{6} \))(\( ( 1 - 39740 T + 714924299 T^{2} )^{2} \))(\( ( 1 - 38000 T + 714924299 T^{2} )^{2} \))(\( ( 1 + 714924299 T^{2} )^{2} \))(\( ( 1 + 25972 T + 714924299 T^{2} )^{2} \))(\( ( 1 + 38000 T + 714924299 T^{2} )^{2} \))(\( ( 1 + 24660 T + 714924299 T^{2} )^{2} \))(\( ( 1 - 28300 T + 714924299 T^{2} )^{2} \))(\( ( 1 + 57336 T + 2002300258 T^{2} + 40990899607464 T^{3} + 511116753300641401 T^{4} )^{2} \))(\( ( 1 - 23730 T + 501951198 T^{2} - 16965153615270 T^{3} + 511116753300641401 T^{4} )^{2} \))(\( ( 1 + 33744102 T^{2} + 511116753300641401 T^{4} )^{2} \))(\( ( 1 + 1399356598 T^{2} + 511116753300641401 T^{4} )^{2} \))(\( ( 1 + 5148 T + 597505773 T^{2} + 370643378904 T^{3} + 427171395910478127 T^{4} + \)\(26\!\cdots\!48\)\( T^{5} + \)\(36\!\cdots\!99\)\( T^{6} )^{2} \))(\( ( 1 - 46228 T + 2374731725 T^{2} - 58250866741320 T^{3} + 1697753413808685775 T^{4} - \)\(23\!\cdots\!28\)\( T^{5} + \)\(36\!\cdots\!99\)\( T^{6} )^{2} \))(\( ( 1 - 45840 T + 3064286732 T^{2} - 94721285480976 T^{3} + 3348109683185502486 T^{4} - \)\(67\!\cdots\!24\)\( T^{5} + \)\(15\!\cdots\!32\)\( T^{6} - \)\(16\!\cdots\!60\)\( T^{7} + \)\(26\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 + 43014 T + 3138923408 T^{2} + 85511244344238 T^{3} + 3396429745251891150 T^{4} + \)\(61\!\cdots\!62\)\( T^{5} + \)\(16\!\cdots\!08\)\( T^{6} + \)\(15\!\cdots\!86\)\( T^{7} + \)\(26\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 + 3407992984 T^{2} + 4568722822719661756 T^{4} + \)\(32\!\cdots\!92\)\( T^{6} + \)\(19\!\cdots\!58\)\( T^{8} + \)\(16\!\cdots\!92\)\( T^{10} + \)\(11\!\cdots\!56\)\( T^{12} + \)\(45\!\cdots\!84\)\( T^{14} + \)\(68\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 + 2365656592 T^{2} + 3387934259154042628 T^{4} + \)\(35\!\cdots\!44\)\( T^{6} + \)\(28\!\cdots\!70\)\( T^{8} + \)\(18\!\cdots\!44\)\( T^{10} + \)\(88\!\cdots\!28\)\( T^{12} + \)\(31\!\cdots\!92\)\( T^{14} + \)\(68\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 + 714924299 T^{2} )^{4} \))(\( ( 1 + 82586128 T^{2} + 511116753300641401 T^{4} )^{4} \))(\( ( 1 + 1357462768 T^{2} + 511116753300641401 T^{4} )^{4} \))
$61$ (\( 1 - 32302 T + 844596301 T^{2} \))(\( 1 + 48338 T + 844596301 T^{2} \))(\( 1 - 962 T + 844596301 T^{2} \))(\( 1 + 33778 T + 844596301 T^{2} \))(\( 1 + 47938 T + 844596301 T^{2} \))(\( 1 - 9422 T + 844596301 T^{2} \))(\( 1 - 37518 T + 844596301 T^{2} \))(\( 1 + 40210 T + 844596301 T^{2} \))(\( 1 + 9602 T + 844596301 T^{2} \))(\( 1 - 16622 T + 844596301 T^{2} \))(\( 1 + 34670 T + 844596301 T^{2} \))(\( 1 - 13202 T + 844596301 T^{2} \))(\( 1 + 13450 T + 844596301 T^{2} \))(\( 1 + 1978 T + 844596301 T^{2} \))(\( 1 - 962 T + 844596301 T^{2} \))(\( 1 - 39302 T + 844596301 T^{2} \))(\( 1 - 11782 T + 844596301 T^{2} \))(\( 1 - 5522 T + 844596301 T^{2} \))(\( 1 + 19658 T + 844596301 T^{2} \))(\( 1 - 39570 T + 844596301 T^{2} \))(\( 1 - 23398 T + 844596301 T^{2} \))(\( 1 + 9838 T + 844596301 T^{2} \))(\( 1 + 35738 T + 844596301 T^{2} \))(\( 1 - 22022 T + 844596301 T^{2} \))(\( 1 + 49116 T + 1219519966 T^{2} + 41483191919916 T^{3} + 713342911662882601 T^{4} \))(\( 1 - 14108 T + 1110042462 T^{2} - 11915564614508 T^{3} + 713342911662882601 T^{4} \))(\( 1 - 51596 T + 2049215870 T^{2} - 43577790746396 T^{3} + 713342911662882601 T^{4} \))(\( 1 + 24076 T + 1576248446 T^{2} + 20334500542876 T^{3} + 713342911662882601 T^{4} \))(\( 1 - 21508 T + 1679906718 T^{2} - 18165577241908 T^{3} + 713342911662882601 T^{4} \))(\( 1 - 20220 T + 1540010398 T^{2} - 17077737206220 T^{3} + 713342911662882601 T^{4} \))(\( 1 + 49116 T + 1219519966 T^{2} + 41483191919916 T^{3} + 713342911662882601 T^{4} \))(\( 1 + 53956 T + 1627858910 T^{2} + 45571038016756 T^{3} + 713342911662882601 T^{4} \))(\( 1 - 21508 T + 1679906718 T^{2} - 18165577241908 T^{3} + 713342911662882601 T^{4} \))(\( 1 + 24076 T + 1576248446 T^{2} + 20334500542876 T^{3} + 713342911662882601 T^{4} \))(\( 1 - 51270 T + 2305394931 T^{2} - 70676310393124 T^{3} + 1947128031066750231 T^{4} - \)\(36\!\cdots\!70\)\( T^{5} + \)\(60\!\cdots\!01\)\( T^{6} \))(\( 1 - 51270 T + 2305394931 T^{2} - 70676310393124 T^{3} + 1947128031066750231 T^{4} - \)\(36\!\cdots\!70\)\( T^{5} + \)\(60\!\cdots\!01\)\( T^{6} \))(\( ( 1 + 42298 T + 844596301 T^{2} )^{2} \))(\( ( 1 + 8206 T + 844596301 T^{2} )^{2} \))(\( ( 1 - 34802 T + 844596301 T^{2} )^{2} \))(\( ( 1 + 3058 T + 844596301 T^{2} )^{2} \))(\( ( 1 + 8206 T + 844596301 T^{2} )^{2} \))(\( ( 1 + 5698 T + 844596301 T^{2} )^{2} \))(\( ( 1 - 18290 T + 844596301 T^{2} )^{2} \))(\( ( 1 + 30140 T + 1692991518 T^{2} + 25456132512140 T^{3} + 713342911662882601 T^{4} )^{2} \))(\( ( 1 - 57124 T + 2217210846 T^{2} - 48246719098324 T^{3} + 713342911662882601 T^{4} )^{2} \))(\( ( 1 + 38158 T + 844596301 T^{2} )^{4} \))(\( ( 1 - 21362 T + 844596301 T^{2} )^{4} \))(\( ( 1 + 26058 T + 886088883 T^{2} + 13089282520252 T^{3} + 748387392939021783 T^{4} + \)\(18\!\cdots\!58\)\( T^{5} + \)\(60\!\cdots\!01\)\( T^{6} )^{2} \))(\( ( 1 - 3126 T + 433417395 T^{2} + 15652173289660 T^{3} + 366062728606055895 T^{4} - \)\(22\!\cdots\!26\)\( T^{5} + \)\(60\!\cdots\!01\)\( T^{6} )^{2} \))(\( ( 1 - 61928 T + 3903014764 T^{2} - 145287706763384 T^{3} + 5198153942066716726 T^{4} - \)\(12\!\cdots\!84\)\( T^{5} + \)\(27\!\cdots\!64\)\( T^{6} - \)\(37\!\cdots\!28\)\( T^{7} + \)\(50\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 + 19480 T + 1818982540 T^{2} + 11177939991304 T^{3} + 1488458395242824950 T^{4} + \)\(94\!\cdots\!04\)\( T^{5} + \)\(12\!\cdots\!40\)\( T^{6} + \)\(11\!\cdots\!80\)\( T^{7} + \)\(50\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 - 9032 T + 1492239052 T^{2} - 26562418349336 T^{3} + 1618346221688627830 T^{4} - \)\(22\!\cdots\!36\)\( T^{5} + \)\(10\!\cdots\!52\)\( T^{6} - \)\(54\!\cdots\!32\)\( T^{7} + \)\(50\!\cdots\!01\)\( T^{8} )^{4} \))(\( ( 1 - 8840 T + 1426332604 T^{2} - 52423680442520 T^{3} + 913626582238920406 T^{4} - \)\(44\!\cdots\!20\)\( T^{5} + \)\(10\!\cdots\!04\)\( T^{6} - \)\(53\!\cdots\!40\)\( T^{7} + \)\(50\!\cdots\!01\)\( T^{8} )^{4} \))(\( ( 1 + 18950 T + 844596301 T^{2} )^{4} \))(\( ( 1 - 7870 T + 844596301 T^{2} )^{8} \))(\( ( 1 - 4510 T + 844596301 T^{2} )^{8} \))
$67$ (\( 1 + 60972 T + 1350125107 T^{2} \))(\( 1 + 56972 T + 1350125107 T^{2} \))(\( 1 - 17956 T + 1350125107 T^{2} \))(\( 1 + 3524 T + 1350125107 T^{2} \))(\( 1 + 33092 T + 1350125107 T^{2} \))(\( 1 - 51124 T + 1350125107 T^{2} \))(\( 1 + 29324 T + 1350125107 T^{2} \))(\( 1 + 58864 T + 1350125107 T^{2} \))(\( 1 - 17404 T + 1350125107 T^{2} \))(\( 1 + 1808 T + 1350125107 T^{2} \))(\( 1 - 47566 T + 1350125107 T^{2} \))(\( 1 - 11542 T + 1350125107 T^{2} \))(\( 1 - 65476 T + 1350125107 T^{2} \))(\( 1 + 44212 T + 1350125107 T^{2} \))(\( 1 - 17956 T + 1350125107 T^{2} \))(\( 1 + 55796 T + 1350125107 T^{2} \))(\( 1 - 13188 T + 1350125107 T^{2} \))(\( 1 - 24742 T + 1350125107 T^{2} \))(\( 1 + 31868 T + 1350125107 T^{2} \))(\( 1 - 56734 T + 1350125107 T^{2} \))(\( 1 - 9676 T + 1350125107 T^{2} \))(\( 1 + 33722 T + 1350125107 T^{2} \))(\( 1 - 5772 T + 1350125107 T^{2} \))(\( 1 - 12676 T + 1350125107 T^{2} \))(\( 1 + 6080 T + 319369814 T^{2} + 8208760650560 T^{3} + 1822837804551761449 T^{4} \))(\( 1 - 85412 T + 4371910566 T^{2} - 115316885639084 T^{3} + 1822837804551761449 T^{4} \))(\( 1 - 45816 T + 1490141302 T^{2} - 61857331902312 T^{3} + 1822837804551761449 T^{4} \))(\( 1 - 42240 T + 1422289750 T^{2} - 57029284519680 T^{3} + 1822837804551761449 T^{4} \))(\( 1 - 10880 T + 2704544598 T^{2} - 14689361164160 T^{3} + 1822837804551761449 T^{4} \))(\( 1 - 12904 T + 2574352118 T^{2} - 17422014380728 T^{3} + 1822837804551761449 T^{4} \))(\( 1 + 6080 T + 319369814 T^{2} + 8208760650560 T^{3} + 1822837804551761449 T^{4} \))(\( 1 + 95160 T + 4779613558 T^{2} + 128477905182120 T^{3} + 1822837804551761449 T^{4} \))(\( 1 - 10880 T + 2704544598 T^{2} - 14689361164160 T^{3} + 1822837804551761449 T^{4} \))(\( 1 - 42240 T + 1422289750 T^{2} - 57029284519680 T^{3} + 1822837804551761449 T^{4} \))(\( 1 + 69084 T + 4950834057 T^{2} + 182092399391720 T^{3} + 6684245360946369099 T^{4} + \)\(12\!\cdots\!16\)\( T^{5} + \)\(24\!\cdots\!43\)\( T^{6} \))(\( 1 + 69084 T + 4950834057 T^{2} + 182092399391720 T^{3} + 6684245360946369099 T^{4} + \)\(12\!\cdots\!16\)\( T^{5} + \)\(24\!\cdots\!43\)\( T^{6} \))(\( 1 - 1669968610 T^{2} + 1822837804551761449 T^{4} \))(\( 1 - 2524788838 T^{2} + 1822837804551761449 T^{4} \))(\( ( 1 - 1350125107 T^{2} )^{2} \))(\( 1 + 755362070 T^{2} + 1822837804551761449 T^{4} \))(\( 1 - 2524788838 T^{2} + 1822837804551761449 T^{4} \))(\( 1 - 795787610 T^{2} + 1822837804551761449 T^{4} \))(\( 1 + 1649943722 T^{2} + 1822837804551761449 T^{4} \))(\( 1 - 4461748300 T^{2} + 8610041688522039798 T^{4} - \)\(81\!\cdots\!00\)\( T^{6} + \)\(33\!\cdots\!01\)\( T^{8} \))(\( 1 - 4204562300 T^{2} + 7726214820152619798 T^{4} - \)\(76\!\cdots\!00\)\( T^{6} + \)\(33\!\cdots\!01\)\( T^{8} \))(\( ( 1 - 1387552678 T^{2} + 1822837804551761449 T^{4} )^{2} \))(\( ( 1 - 1504963814 T^{2} + 1822837804551761449 T^{4} )^{2} \))(\( 1 - 7507145634 T^{2} + 24155236685124504999 T^{4} - \)\(42\!\cdots\!84\)\( T^{6} + \)\(44\!\cdots\!51\)\( T^{8} - \)\(24\!\cdots\!34\)\( T^{10} + \)\(60\!\cdots\!49\)\( T^{12} \))(\( 1 - 1213193634 T^{2} + 1488268869535589799 T^{4} - \)\(31\!\cdots\!84\)\( T^{6} + \)\(27\!\cdots\!51\)\( T^{8} - \)\(40\!\cdots\!34\)\( T^{10} + \)\(60\!\cdots\!49\)\( T^{12} \))(\( 1 - 9281919064 T^{2} + 39492482666681482588 T^{4} - \)\(10\!\cdots\!40\)\( T^{6} + \)\(16\!\cdots\!62\)\( T^{8} - \)\(18\!\cdots\!60\)\( T^{10} + \)\(13\!\cdots\!88\)\( T^{12} - \)\(56\!\cdots\!36\)\( T^{14} + \)\(11\!\cdots\!01\)\( T^{16} \))(\( 1 - 689670088 T^{2} + 6395411832810982876 T^{4} - \)\(31\!\cdots\!36\)\( T^{6} + \)\(16\!\cdots\!46\)\( T^{8} - \)\(56\!\cdots\!64\)\( T^{10} + \)\(21\!\cdots\!76\)\( T^{12} - \)\(41\!\cdots\!12\)\( T^{14} + \)\(11\!\cdots\!01\)\( T^{16} \))(\( ( 1 - 4302504088 T^{2} + 12320798508402903676 T^{4} - \)\(23\!\cdots\!36\)\( T^{6} + \)\(36\!\cdots\!46\)\( T^{8} - \)\(43\!\cdots\!64\)\( T^{10} + \)\(40\!\cdots\!76\)\( T^{12} - \)\(26\!\cdots\!12\)\( T^{14} + \)\(11\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 - 3420496856 T^{2} + 5686661431365214972 T^{4} - \)\(71\!\cdots\!08\)\( T^{6} + \)\(95\!\cdots\!70\)\( T^{8} - \)\(12\!\cdots\!92\)\( T^{10} + \)\(18\!\cdots\!72\)\( T^{12} - \)\(20\!\cdots\!44\)\( T^{14} + \)\(11\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 + 1350125107 T^{2} )^{4} \))(\( ( 1 + 1257548774 T^{2} + 1822837804551761449 T^{4} )^{4} \))(\( ( 1 + 2481172454 T^{2} + 1822837804551761449 T^{4} )^{4} \))
$71$ (\( 1 + 32648 T + 1804229351 T^{2} \))(\( 1 - 44856 T + 1804229351 T^{2} \))(\( 1 - 56148 T + 1804229351 T^{2} \))(\( 1 - 38280 T + 1804229351 T^{2} \))(\( 1 - 51912 T + 1804229351 T^{2} \))(\( 1 - 14520 T + 1804229351 T^{2} \))(\( 1 - 84408 T + 1804229351 T^{2} \))(\( 1 + 55312 T + 1804229351 T^{2} \))(\( 1 - 26568 T + 1804229351 T^{2} \))(\( 1 + 24528 T + 1804229351 T^{2} \))(\( 1 - 948 T + 1804229351 T^{2} \))(\( 1 + 29532 T + 1804229351 T^{2} \))(\( 1 - 34560 T + 1804229351 T^{2} \))(\( 1 + 59744 T + 1804229351 T^{2} \))(\( 1 + 56148 T + 1804229351 T^{2} \))(\( 1 - 57120 T + 1804229351 T^{2} \))(\( 1 + 35968 T + 1804229351 T^{2} \))(\( 1 - 42372 T + 1804229351 T^{2} \))(\( 1 - 57216 T + 1804229351 T^{2} \))(\( 1 - 45588 T + 1804229351 T^{2} \))(\( 1 - 13728 T + 1804229351 T^{2} \))(\( 1 - 70212 T + 1804229351 T^{2} \))(\( 1 + 69088 T + 1804229351 T^{2} \))(\( 1 + 59520 T + 1804229351 T^{2} \))(\( 1 - 65200 T + 4591816702 T^{2} - 117635753685200 T^{3} + 3255243551009881201 T^{4} \))(\( 1 - 47208 T + 4011779662 T^{2} - 85174059202008 T^{3} + 3255243551009881201 T^{4} \))(\( 1 + 97456 T + 5874446350 T^{2} + 175832975631056 T^{3} + 3255243551009881201 T^{4} \))(\( 1 + 12880 T + 3454118398 T^{2} + 23238474040880 T^{3} + 3255243551009881201 T^{4} \))(\( 1 + 45840 T + 3188968702 T^{2} + 82705873449840 T^{3} + 3255243551009881201 T^{4} \))(\( 1 + 40976 T + 2981176846 T^{2} + 73930101886576 T^{3} + 3255243551009881201 T^{4} \))(\( 1 + 65200 T + 4591816702 T^{2} + 117635753685200 T^{3} + 3255243551009881201 T^{4} \))(\( 1 + 71552 T + 3857659342 T^{2} + 129096218522752 T^{3} + 3255243551009881201 T^{4} \))(\( 1 - 45840 T + 3188968702 T^{2} - 82705873449840 T^{3} + 3255243551009881201 T^{4} \))(\( 1 - 12880 T + 3454118398 T^{2} - 23238474040880 T^{3} + 3255243551009881201 T^{4} \))(\( 1 + 55932 T + 3009690789 T^{2} + 141554371038216 T^{3} + 5430172458948147939 T^{4} + \)\(18\!\cdots\!32\)\( T^{5} + \)\(58\!\cdots\!51\)\( T^{6} \))(\( 1 - 55932 T + 3009690789 T^{2} - 141554371038216 T^{3} + 5430172458948147939 T^{4} - \)\(18\!\cdots\!32\)\( T^{5} + \)\(58\!\cdots\!51\)\( T^{6} \))(\( ( 1 + 4248 T + 1804229351 T^{2} )^{2} \))(\( ( 1 - 48480 T + 1804229351 T^{2} )^{2} \))(\( ( 1 + 1804229351 T^{2} )^{2} \))(\( ( 1 - 37608 T + 1804229351 T^{2} )^{2} \))(\( ( 1 + 48480 T + 1804229351 T^{2} )^{2} \))(\( ( 1 - 53352 T + 1804229351 T^{2} )^{2} \))(\( ( 1 + 28800 T + 1804229351 T^{2} )^{2} \))(\( ( 1 - 17424 T + 3450786046 T^{2} - 31436892211824 T^{3} + 3255243551009881201 T^{4} )^{2} \))(\( ( 1 + 11076 T + 940164046 T^{2} + 19983644291676 T^{3} + 3255243551009881201 T^{4} )^{2} \))(\( ( 1 + 3331783438 T^{2} + 3255243551009881201 T^{4} )^{2} \))(\( ( 1 + 2510746702 T^{2} + 3255243551009881201 T^{4} )^{2} \))(\( ( 1 + 14144 T + 2246377637 T^{2} + 13852014127488 T^{3} + 4052980466105423587 T^{4} + \)\(46\!\cdots\!44\)\( T^{5} + \)\(58\!\cdots\!51\)\( T^{6} )^{2} \))(\( ( 1 + 80400 T + 7314161253 T^{2} + 303984832792800 T^{3} + 13196424410609536803 T^{4} + \)\(26\!\cdots\!00\)\( T^{5} + \)\(58\!\cdots\!51\)\( T^{6} )^{2} \))(\( ( 1 + 62816 T + 3398787356 T^{2} + 184024084124896 T^{3} + 8353296562609817510 T^{4} + \)\(33\!\cdots\!96\)\( T^{5} + \)\(11\!\cdots\!56\)\( T^{6} + \)\(36\!\cdots\!16\)\( T^{7} + \)\(10\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 - 81036 T + 8128543116 T^{2} - 379257248199228 T^{3} + 21602305876831289798 T^{4} - \)\(68\!\cdots\!28\)\( T^{5} + \)\(26\!\cdots\!16\)\( T^{6} - \)\(47\!\cdots\!36\)\( T^{7} + \)\(10\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 + 2871156792 T^{2} + 5431095844251854428 T^{4} + \)\(74\!\cdots\!44\)\( T^{6} + \)\(66\!\cdots\!70\)\( T^{8} + \)\(24\!\cdots\!44\)\( T^{10} + \)\(57\!\cdots\!28\)\( T^{12} + \)\(99\!\cdots\!92\)\( T^{14} + \)\(11\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 + 8755708408 T^{2} + 39970715516171236828 T^{4} + \)\(11\!\cdots\!56\)\( T^{6} + \)\(25\!\cdots\!70\)\( T^{8} + \)\(38\!\cdots\!56\)\( T^{10} + \)\(42\!\cdots\!28\)\( T^{12} + \)\(30\!\cdots\!08\)\( T^{14} + \)\(11\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 + 1804229351 T^{2} )^{4} \))(\( ( 1 - 614725778 T^{2} + 3255243551009881201 T^{4} )^{4} \))(\( ( 1 + 1841142382 T^{2} + 3255243551009881201 T^{4} )^{4} \))
$73$ (\( 1 + 38774 T + 2073071593 T^{2} \))(\( 1 + 19446 T + 2073071593 T^{2} \))(\( 1 + 85690 T + 2073071593 T^{2} \))(\( 1 + 79702 T + 2073071593 T^{2} \))(\( 1 - 12026 T + 2073071593 T^{2} \))(\( 1 + 22678 T + 2073071593 T^{2} \))(\( 1 + 46550 T + 2073071593 T^{2} \))(\( 1 - 27258 T + 2073071593 T^{2} \))(\( 1 - 75450 T + 2073071593 T^{2} \))(\( 1 - 20474 T + 2073071593 T^{2} \))(\( 1 + 63102 T + 2073071593 T^{2} \))(\( 1 - 33698 T + 2073071593 T^{2} \))(\( 1 - 86258 T + 2073071593 T^{2} \))(\( 1 - 56994 T + 2073071593 T^{2} \))(\( 1 + 85690 T + 2073071593 T^{2} \))(\( 1 - 50402 T + 2073071593 T^{2} \))(\( 1 - 73186 T + 2073071593 T^{2} \))(\( 1 + 52126 T + 2073071593 T^{2} \))(\( 1 - 9906 T + 2073071593 T^{2} \))(\( 1 - 11842 T + 2073071593 T^{2} \))(\( 1 + 27390 T + 2073071593 T^{2} \))(\( 1 - 21986 T + 2073071593 T^{2} \))(\( 1 + 70526 T + 2073071593 T^{2} \))(\( 1 + 67102 T + 2073071593 T^{2} \))(\( 1 - 97740 T + 5753972086 T^{2} - 202622017499820 T^{3} + 4297625829703557649 T^{4} \))(\( 1 + 67452 T + 4400780438 T^{2} + 139832825091036 T^{3} + 4297625829703557649 T^{4} \))(\( 1 - 58852 T + 4427698262 T^{2} - 122004409391236 T^{3} + 4297625829703557649 T^{4} \))(\( 1 + 96260 T + 5679384470 T^{2} + 199553871542180 T^{3} + 4297625829703557649 T^{4} \))(\( 1 - 9580 T + 3669349686 T^{2} - 19860025860940 T^{3} + 4297625829703557649 T^{4} \))(\( 1 - 59124 T + 4982256886 T^{2} - 122568284864532 T^{3} + 4297625829703557649 T^{4} \))(\( 1 - 97740 T + 5753972086 T^{2} - 202622017499820 T^{3} + 4297625829703557649 T^{4} \))(\( 1 + 96236 T + 6445380086 T^{2} + 199504117823948 T^{3} + 4297625829703557649 T^{4} \))(\( 1 - 9580 T + 3669349686 T^{2} - 19860025860940 T^{3} + 4297625829703557649 T^{4} \))(\( 1 + 96260 T + 5679384470 T^{2} + 199553871542180 T^{3} + 4297625829703557649 T^{4} \))(\( 1 - 100914 T + 9222632103 T^{2} - 440423264194140 T^{3} + 19119176625419150079 T^{4} - \)\(43\!\cdots\!86\)\( T^{5} + \)\(89\!\cdots\!57\)\( T^{6} \))(\( 1 - 100914 T + 9222632103 T^{2} - 440423264194140 T^{3} + 19119176625419150079 T^{4} - \)\(43\!\cdots\!86\)\( T^{5} + \)\(89\!\cdots\!57\)\( T^{6} \))(\( 1 - 3239892370 T^{2} + 4297625829703557649 T^{4} \))(\( 1 - 2340933586 T^{2} + 4297625829703557649 T^{4} \))(\( ( 1 - 2073071593 T^{2} )^{2} \))(\( 1 - 3569749522 T^{2} + 4297625829703557649 T^{4} \))(\( 1 - 2340933586 T^{2} + 4297625829703557649 T^{4} \))(\( 1 + 883886830 T^{2} + 4297625829703557649 T^{4} \))(\( 1 - 3197010322 T^{2} + 4297625829703557649 T^{4} \))(\( 1 - 8258401156 T^{2} + 25645382375738817318 T^{4} - \)\(35\!\cdots\!44\)\( T^{6} + \)\(18\!\cdots\!01\)\( T^{8} \))(\( 1 - 3772142420 T^{2} + 9801194247527769798 T^{4} - \)\(16\!\cdots\!80\)\( T^{6} + \)\(18\!\cdots\!01\)\( T^{8} \))(\( ( 1 + 669338414 T^{2} + 4297625829703557649 T^{4} )^{2} \))(\( ( 1 - 4138885586 T^{2} + 4297625829703557649 T^{4} )^{2} \))(\( 1 - 2138297622 T^{2} + 9645229369668502143 T^{4} - \)\(18\!\cdots\!56\)\( T^{6} + \)\(41\!\cdots\!07\)\( T^{8} - \)\(39\!\cdots\!22\)\( T^{10} + \)\(79\!\cdots\!49\)\( T^{12} \))(\( 1 - 5305758486 T^{2} + 18815441454973655679 T^{4} - \)\(44\!\cdots\!56\)\( T^{6} + \)\(80\!\cdots\!71\)\( T^{8} - \)\(97\!\cdots\!86\)\( T^{10} + \)\(79\!\cdots\!49\)\( T^{12} \))(\( 1 - 9140679496 T^{2} + 46078306824990298588 T^{4} - \)\(15\!\cdots\!60\)\( T^{6} + \)\(37\!\cdots\!02\)\( T^{8} - \)\(66\!\cdots\!40\)\( T^{10} + \)\(85\!\cdots\!88\)\( T^{12} - \)\(72\!\cdots\!04\)\( T^{14} + \)\(34\!\cdots\!01\)\( T^{16} \))(\( 1 - 11933853400 T^{2} + 67221911930035246396 T^{4} - \)\(23\!\cdots\!00\)\( T^{6} + \)\(58\!\cdots\!06\)\( T^{8} - \)\(10\!\cdots\!00\)\( T^{10} + \)\(12\!\cdots\!96\)\( T^{12} - \)\(94\!\cdots\!00\)\( T^{14} + \)\(34\!\cdots\!01\)\( T^{16} \))(\( ( 1 - 4559473480 T^{2} + 20323547981168722396 T^{4} - \)\(57\!\cdots\!60\)\( T^{6} + \)\(13\!\cdots\!06\)\( T^{8} - \)\(24\!\cdots\!40\)\( T^{10} + \)\(37\!\cdots\!96\)\( T^{12} - \)\(36\!\cdots\!20\)\( T^{14} + \)\(34\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 - 38200 T + 5105663020 T^{2} - 80599451893000 T^{3} + 10866586471432033798 T^{4} - \)\(16\!\cdots\!00\)\( T^{5} + \)\(21\!\cdots\!80\)\( T^{6} - \)\(34\!\cdots\!00\)\( T^{7} + \)\(18\!\cdots\!01\)\( T^{8} )^{4} \))(\( ( 1 - 20144 T + 2073071593 T^{2} )^{2}( 1 + 20144 T + 2073071593 T^{2} )^{2} \))(\( ( 1 - 4143939770 T^{2} + 4297625829703557649 T^{4} )^{4} \))(\( ( 1 - 3025870010 T^{2} + 4297625829703557649 T^{4} )^{4} \))
$79$ (\( 1 - 33360 T + 3077056399 T^{2} \))(\( 1 - 77328 T + 3077056399 T^{2} \))(\( 1 - 26044 T + 3077056399 T^{2} \))(\( 1 + 99248 T + 3077056399 T^{2} \))(\( 1 + 25160 T + 3077056399 T^{2} \))(\( 1 - 97312 T + 3077056399 T^{2} \))(\( 1 + 26752 T + 3077056399 T^{2} \))(\( 1 + 31456 T + 3077056399 T^{2} \))(\( 1 + 50472 T + 3077056399 T^{2} \))(\( 1 - 46240 T + 3077056399 T^{2} \))(\( 1 + 46536 T + 3077056399 T^{2} \))(\( 1 + 31208 T + 3077056399 T^{2} \))(\( 1 - 108832 T + 3077056399 T^{2} \))(\( 1 - 15128 T + 3077056399 T^{2} \))(\( 1 - 26044 T + 3077056399 T^{2} \))(\( 1 - 10552 T + 3077056399 T^{2} \))(\( 1 - 52440 T + 3077056399 T^{2} \))(\( 1 - 39640 T + 3077056399 T^{2} \))(\( 1 + 7872 T + 3077056399 T^{2} \))(\( 1 + 94216 T + 3077056399 T^{2} \))(\( 1 - 93288 T + 3077056399 T^{2} \))(\( 1 + 4520 T + 3077056399 T^{2} \))(\( 1 + 47640 T + 3077056399 T^{2} \))(\( 1 + 11048 T + 3077056399 T^{2} \))(\( 1 - 46288 T + 6429395534 T^{2} - 142430786596912 T^{3} + 9468276082626847201 T^{4} \))(\( 1 - 65904 T + 3994274078 T^{2} - 202790324919696 T^{3} + 9468276082626847201 T^{4} \))(\( 1 - 116776 T + 8933123742 T^{2} - 359326338049624 T^{3} + 9468276082626847201 T^{4} \))(\( 1 - 89896 T + 6990395502 T^{2} - 276615062044504 T^{3} + 9468276082626847201 T^{4} \))(\( 1 + 91072 T + 8032430094 T^{2} + 280233680369728 T^{3} + 9468276082626847201 T^{4} \))(\( 1 + 107600 T + 7602983198 T^{2} + 331091268532400 T^{3} + 9468276082626847201 T^{4} \))(\( 1 - 46288 T + 6429395534 T^{2} - 142430786596912 T^{3} + 9468276082626847201 T^{4} \))(\( 1 + 29288 T + 5671921950 T^{2} + 90120827813912 T^{3} + 9468276082626847201 T^{4} \))(\( 1 + 91072 T + 8032430094 T^{2} + 280233680369728 T^{3} + 9468276082626847201 T^{4} \))(\( 1 - 89896 T + 6990395502 T^{2} - 276615062044504 T^{3} + 9468276082626847201 T^{4} \))(\( 1 + 159492 T + 15447781533 T^{2} + 970158382454328 T^{3} + 47533695016471679667 T^{4} + \)\(15\!\cdots\!92\)\( T^{5} + \)\(29\!\cdots\!99\)\( T^{6} \))(\( 1 + 159492 T + 15447781533 T^{2} + 970158382454328 T^{3} + 47533695016471679667 T^{4} + \)\(15\!\cdots\!92\)\( T^{5} + \)\(29\!\cdots\!99\)\( T^{6} \))(\( ( 1 - 35280 T + 3077056399 T^{2} )^{2} \))(\( ( 1 + 9264 T + 3077056399 T^{2} )^{2} \))(\( ( 1 + 70064 T + 3077056399 T^{2} )^{2} \))(\( ( 1 - 79728 T + 3077056399 T^{2} )^{2} \))(\( ( 1 + 9264 T + 3077056399 T^{2} )^{2} \))(\( ( 1 + 51920 T + 3077056399 T^{2} )^{2} \))(\( ( 1 - 60228 T + 3077056399 T^{2} )^{2} \))(\( ( 1 + 57520 T + 5031936798 T^{2} + 176992284070480 T^{3} + 9468276082626847201 T^{4} )^{2} \))(\( ( 1 - 14220 T + 4980519998 T^{2} - 43755741993780 T^{3} + 9468276082626847201 T^{4} )^{2} \))(\( ( 1 + 20664 T + 3077056399 T^{2} )^{4} \))(\( ( 1 - 99616 T + 3077056399 T^{2} )^{4} \))(\( ( 1 + 110100 T + 12028730445 T^{2} + 673264081259096 T^{3} + 37013081987633367555 T^{4} + \)\(10\!\cdots\!00\)\( T^{5} + \)\(29\!\cdots\!99\)\( T^{6} )^{2} \))(\( ( 1 + 64476 T + 8552089389 T^{2} + 363282494523336 T^{3} + 26315261379242450211 T^{4} + \)\(61\!\cdots\!76\)\( T^{5} + \)\(29\!\cdots\!99\)\( T^{6} )^{2} \))(\( ( 1 + 21632 T + 7152876604 T^{2} + 332616618908288 T^{3} + 24121899620797566790 T^{4} + \)\(10\!\cdots\!12\)\( T^{5} + \)\(67\!\cdots\!04\)\( T^{6} + \)\(63\!\cdots\!68\)\( T^{7} + \)\(89\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 - 84988 T + 5906431900 T^{2} - 410334793182028 T^{3} + 30047763404998661254 T^{4} - \)\(12\!\cdots\!72\)\( T^{5} + \)\(55\!\cdots\!00\)\( T^{6} - \)\(24\!\cdots\!12\)\( T^{7} + \)\(89\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 + 8576 T + 5537482876 T^{2} + 173910727899008 T^{3} + 17190185901357317830 T^{4} + \)\(53\!\cdots\!92\)\( T^{5} + \)\(52\!\cdots\!76\)\( T^{6} + \)\(24\!\cdots\!24\)\( T^{7} + \)\(89\!\cdots\!01\)\( T^{8} )^{4} \))(\( ( 1 - 16813932392 T^{2} + \)\(14\!\cdots\!28\)\( T^{4} - \)\(74\!\cdots\!44\)\( T^{6} + \)\(27\!\cdots\!70\)\( T^{8} - \)\(70\!\cdots\!44\)\( T^{10} + \)\(12\!\cdots\!28\)\( T^{12} - \)\(14\!\cdots\!92\)\( T^{14} + \)\(80\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 - 3077056399 T^{2} )^{4} \))(\( ( 1 + 659320462 T^{2} + 9468276082626847201 T^{4} )^{4} \))(\( ( 1 + 5516716942 T^{2} + 9468276082626847201 T^{4} )^{4} \))
$83$ (\( 1 - 16716 T + 3939040643 T^{2} \))(\( 1 - 40364 T + 3939040643 T^{2} \))(\( 1 - 93468 T + 3939040643 T^{2} \))(\( 1 + 22284 T + 3939040643 T^{2} \))(\( 1 - 35796 T + 3939040643 T^{2} \))(\( 1 + 7956 T + 3939040643 T^{2} \))(\( 1 + 7956 T + 3939040643 T^{2} \))(\( 1 - 24552 T + 3939040643 T^{2} \))(\( 1 - 33236 T + 3939040643 T^{2} \))(\( 1 + 51576 T + 3939040643 T^{2} \))(\( 1 + 88778 T + 3939040643 T^{2} \))(\( 1 + 38466 T + 3939040643 T^{2} \))(\( 1 - 10668 T + 3939040643 T^{2} \))(\( 1 + 21996 T + 3939040643 T^{2} \))(\( 1 + 93468 T + 3939040643 T^{2} \))(\( 1 - 108564 T + 3939040643 T^{2} \))(\( 1 - 69036 T + 3939040643 T^{2} \))(\( 1 + 59826 T + 3939040643 T^{2} \))(\( 1 - 109996 T + 3939040643 T^{2} \))(\( 1 + 31482 T + 3939040643 T^{2} \))(\( 1 + 23276 T + 3939040643 T^{2} \))(\( 1 + 109074 T + 3939040643 T^{2} \))(\( 1 - 74004 T + 3939040643 T^{2} \))(\( 1 + 115284 T + 3939040643 T^{2} \))(\( 1 + 57360 T + 4528611766 T^{2} + 225943371282480 T^{3} + 15516041187205853449 T^{4} \))(\( 1 - 108724 T + 10572459494 T^{2} - 428268254869532 T^{3} + 15516041187205853449 T^{4} \))(\( 1 + 136632 T + 12540178198 T^{2} + 538199001134376 T^{3} + 15516041187205853449 T^{4} \))(\( 1 + 57024 T + 8584451830 T^{2} + 224619853626432 T^{3} + 15516041187205853449 T^{4} \))(\( 1 - 14160 T + 7677471286 T^{2} - 55776815504880 T^{3} + 15516041187205853449 T^{4} \))(\( 1 + 122088 T + 9942170518 T^{2} + 480909594022584 T^{3} + 15516041187205853449 T^{4} \))(\( 1 - 57360 T + 4528611766 T^{2} - 225943371282480 T^{3} + 15516041187205853449 T^{4} \))(\( 1 + 143016 T + 12113227414 T^{2} + 563345836599288 T^{3} + 15516041187205853449 T^{4} \))(\( 1 + 14160 T + 7677471286 T^{2} + 55776815504880 T^{3} + 15516041187205853449 T^{4} \))(\( 1 - 57024 T + 8584451830 T^{2} - 224619853626432 T^{3} + 15516041187205853449 T^{4} \))(\( 1 - 16428 T + 4008885369 T^{2} - 134680015872584 T^{3} + 15791162401619052267 T^{4} - \)\(25\!\cdots\!72\)\( T^{5} + \)\(61\!\cdots\!07\)\( T^{6} \))(\( 1 + 16428 T + 4008885369 T^{2} + 134680015872584 T^{3} + 15791162401619052267 T^{4} + \)\(25\!\cdots\!72\)\( T^{5} + \)\(61\!\cdots\!07\)\( T^{6} \))(\( 1 - 7103795010 T^{2} + 15516041187205853449 T^{4} \))(\( 1 - 6760658886 T^{2} + 15516041187205853449 T^{4} \))(\( 1 - 2642233286 T^{2} + 15516041187205853449 T^{4} \))(\( 1 - 7612675530 T^{2} + 15516041187205853449 T^{4} \))(\( 1 - 6760658886 T^{2} + 15516041187205853449 T^{4} \))(\( 1 - 4053674810 T^{2} + 15516041187205853449 T^{4} \))(\( 1 - 7871990262 T^{2} + 15516041187205853449 T^{4} \))(\( 1 - 4702142572 T^{2} + 17913713453684153718 T^{4} - \)\(72\!\cdots\!28\)\( T^{6} + \)\(24\!\cdots\!01\)\( T^{8} \))(\( 1 - 2811580140 T^{2} + 17974811933757230198 T^{4} - \)\(43\!\cdots\!60\)\( T^{6} + \)\(24\!\cdots\!01\)\( T^{8} \))(\( ( 1 + 1524711738 T^{2} + 15516041187205853449 T^{4} )^{2} \))(\( ( 1 - 4615601606 T^{2} + 15516041187205853449 T^{4} )^{2} \))(\( 1 - 5878219362 T^{2} + 30391064056477835847 T^{4} - \)\(17\!\cdots\!76\)\( T^{6} + \)\(47\!\cdots\!03\)\( T^{8} - \)\(14\!\cdots\!62\)\( T^{10} + \)\(37\!\cdots\!49\)\( T^{12} \))(\( 1 - 12098110050 T^{2} + 79589532006740517447 T^{4} - \)\(36\!\cdots\!00\)\( T^{6} + \)\(12\!\cdots\!03\)\( T^{8} - \)\(29\!\cdots\!50\)\( T^{10} + \)\(37\!\cdots\!49\)\( T^{12} \))(\( 1 - 6759897816 T^{2} + 40943120759345365468 T^{4} - \)\(86\!\cdots\!80\)\( T^{6} + \)\(39\!\cdots\!42\)\( T^{8} - \)\(13\!\cdots\!20\)\( T^{10} + \)\(98\!\cdots\!68\)\( T^{12} - \)\(25\!\cdots\!84\)\( T^{14} + \)\(57\!\cdots\!01\)\( T^{16} \))(\( 1 - 21233018712 T^{2} + \)\(22\!\cdots\!96\)\( T^{4} - \)\(15\!\cdots\!64\)\( T^{6} + \)\(70\!\cdots\!06\)\( T^{8} - \)\(23\!\cdots\!36\)\( T^{10} + \)\(53\!\cdots\!96\)\( T^{12} - \)\(79\!\cdots\!88\)\( T^{14} + \)\(57\!\cdots\!01\)\( T^{16} \))(\( ( 1 - 26022519576 T^{2} + \)\(31\!\cdots\!88\)\( T^{4} - \)\(22\!\cdots\!60\)\( T^{6} + \)\(10\!\cdots\!22\)\( T^{8} - \)\(34\!\cdots\!40\)\( T^{10} + \)\(74\!\cdots\!88\)\( T^{12} - \)\(97\!\cdots\!24\)\( T^{14} + \)\(57\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 - 4161219656 T^{2} + 46769868115206435772 T^{4} - \)\(14\!\cdots\!08\)\( T^{6} + \)\(97\!\cdots\!70\)\( T^{8} - \)\(23\!\cdots\!92\)\( T^{10} + \)\(11\!\cdots\!72\)\( T^{12} - \)\(15\!\cdots\!44\)\( T^{14} + \)\(57\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 - 3939040643 T^{2} )^{4} \))(\( ( 1 - 6783718006 T^{2} + 15516041187205853449 T^{4} )^{4} \))(\( ( 1 - 7035944566 T^{2} + 15516041187205853449 T^{4} )^{4} \))
$89$ (\( 1 + 101370 T + 5584059449 T^{2} \))(\( 1 + 35706 T + 5584059449 T^{2} \))(\( 1 - 73428 T + 5584059449 T^{2} \))(\( 1 + 94650 T + 5584059449 T^{2} \))(\( 1 - 75510 T + 5584059449 T^{2} \))(\( 1 - 47910 T + 5584059449 T^{2} \))(\( 1 + 59674 T + 5584059449 T^{2} \))(\( 1 - 90854 T + 5584059449 T^{2} \))(\( 1 + 133194 T + 5584059449 T^{2} \))(\( 1 - 110310 T + 5584059449 T^{2} \))(\( 1 - 104934 T + 5584059449 T^{2} \))(\( 1 + 119514 T + 5584059449 T^{2} \))(\( 1 + 10818 T + 5584059449 T^{2} \))(\( 1 + 14066 T + 5584059449 T^{2} \))(\( 1 + 73428 T + 5584059449 T^{2} \))(\( 1 - 116430 T + 5584059449 T^{2} \))(\( 1 - 33870 T + 5584059449 T^{2} \))(\( 1 + 57690 T + 5584059449 T^{2} \))(\( 1 + 62466 T + 5584059449 T^{2} \))(\( 1 - 94054 T + 5584059449 T^{2} \))(\( 1 + 102354 T + 5584059449 T^{2} \))(\( 1 + 38490 T + 5584059449 T^{2} \))(\( 1 - 90030 T + 5584059449 T^{2} \))(\( 1 + 73650 T + 5584059449 T^{2} \))(\( 1 - 87000 T + 10502568898 T^{2} - 485813172063000 T^{3} + 31181719929966183601 T^{4} \))(\( 1 - 55020 T + 10818978262 T^{2} - 307234950883980 T^{3} + 31181719929966183601 T^{4} \))(\( 1 - 124924 T + 13365576758 T^{2} - 697583042606876 T^{3} + 31181719929966183601 T^{4} \))(\( 1 - 25240 T + 10143343298 T^{2} - 140941660492760 T^{3} + 31181719929966183601 T^{4} \))(\( 1 - 35160 T + 9946728898 T^{2} - 196335530226840 T^{3} + 31181719929966183601 T^{4} \))(\( 1 + 103764 T + 8272750678 T^{2} + 579424344666036 T^{3} + 31181719929966183601 T^{4} \))(\( 1 + 87000 T + 10502568898 T^{2} + 485813172063000 T^{3} + 31181719929966183601 T^{4} \))(\( 1 - 139724 T + 16006792406 T^{2} - 780227122452076 T^{3} + 31181719929966183601 T^{4} \))(\( 1 + 35160 T + 9946728898 T^{2} + 196335530226840 T^{3} + 31181719929966183601 T^{4} \))(\( 1 + 25240 T + 10143343298 T^{2} + 140941660492760 T^{3} + 31181719929966183601 T^{4} \))(\( 1 + 120852 T + 12302174427 T^{2} + 1026615424009896 T^{3} + 68696073352335510723 T^{4} + \)\(37\!\cdots\!52\)\( T^{5} + \)\(17\!\cdots\!49\)\( T^{6} \))(\( 1 - 120852 T + 12302174427 T^{2} - 1026615424009896 T^{3} + 68696073352335510723 T^{4} - \)\(37\!\cdots\!52\)\( T^{5} + \)\(17\!\cdots\!49\)\( T^{6} \))(\( ( 1 + 85210 T + 5584059449 T^{2} )^{2} \))(\( ( 1 - 24320 T + 5584059449 T^{2} )^{2} \))(\( ( 1 + 5584059449 T^{2} )^{2} \))(\( ( 1 + 826 T + 5584059449 T^{2} )^{2} \))(\( ( 1 + 24320 T + 5584059449 T^{2} )^{2} \))(\( ( 1 - 9990 T + 5584059449 T^{2} )^{2} \))(\( ( 1 - 22678 T + 5584059449 T^{2} )^{2} \))(\( ( 1 - 136764 T + 15341778358 T^{2} - 763698306483036 T^{3} + 31181719929966183601 T^{4} )^{2} \))(\( ( 1 + 60420 T + 10831762998 T^{2} + 337388871908580 T^{3} + 31181719929966183601 T^{4} )^{2} \))(\( ( 1 + 7604090994 T^{2} + 31181719929966183601 T^{4} )^{2} \))(\( ( 1 - 3347081102 T^{2} + 31181719929966183601 T^{4} )^{2} \))(\( ( 1 + 175710 T + 24190100439 T^{2} + 1951044010529988 T^{3} + \)\(13\!\cdots\!11\)\( T^{4} + \)\(54\!\cdots\!10\)\( T^{5} + \)\(17\!\cdots\!49\)\( T^{6} )^{2} \))(\( ( 1 + 38030 T + 13498833047 T^{2} + 295589573171940 T^{3} + 75378286226573811103 T^{4} + \)\(11\!\cdots\!30\)\( T^{5} + \)\(17\!\cdots\!49\)\( T^{6} )^{2} \))(\( ( 1 - 20952 T + 16118164796 T^{2} - 497915996461992 T^{3} + \)\(11\!\cdots\!30\)\( T^{4} - \)\(27\!\cdots\!08\)\( T^{5} + \)\(50\!\cdots\!96\)\( T^{6} - \)\(36\!\cdots\!48\)\( T^{7} + \)\(97\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 - 226488 T + 18828868604 T^{2} - 357850805109192 T^{3} - 29854343234341882650 T^{4} - \)\(19\!\cdots\!08\)\( T^{5} + \)\(58\!\cdots\!04\)\( T^{6} - \)\(39\!\cdots\!12\)\( T^{7} + \)\(97\!\cdots\!01\)\( T^{8} )^{2} \))(\( ( 1 + 10511122888 T^{2} + 32812007833496994652 T^{4} - \)\(11\!\cdots\!16\)\( T^{6} - \)\(28\!\cdots\!50\)\( T^{8} - \)\(34\!\cdots\!16\)\( T^{10} + \)\(31\!\cdots\!52\)\( T^{12} + \)\(31\!\cdots\!88\)\( T^{14} + \)\(94\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 - 37232234560 T^{2} + \)\(63\!\cdots\!04\)\( T^{4} - \)\(64\!\cdots\!80\)\( T^{6} + \)\(44\!\cdots\!06\)\( T^{8} - \)\(20\!\cdots\!80\)\( T^{10} + \)\(61\!\cdots\!04\)\( T^{12} - \)\(11\!\cdots\!60\)\( T^{14} + \)\(94\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 - 7170687200 T^{2} + 31181719929966183601 T^{4} )^{2} \))(\( ( 1 - 10418267360 T^{2} + 31181719929966183601 T^{4} )^{4} \))(\( ( 1 - 10852460960 T^{2} + 31181719929966183601 T^{4} )^{4} \))
$97$ (\( 1 + 119038 T + 8587340257 T^{2} \))(\( 1 + 97022 T + 8587340257 T^{2} \))(\( 1 - 128978 T + 8587340257 T^{2} \))(\( 1 - 9122 T + 8587340257 T^{2} \))(\( 1 + 44158 T + 8587340257 T^{2} \))(\( 1 - 140738 T + 8587340257 T^{2} \))(\( 1 - 136898 T + 8587340257 T^{2} \))(\( 1 - 154706 T + 8587340257 T^{2} \))(\( 1 + 42878 T + 8587340257 T^{2} \))(\( 1 + 78382 T + 8587340257 T^{2} \))(\( 1 + 36254 T + 8587340257 T^{2} \))(\( 1 - 94658 T + 8587340257 T^{2} \))(\( 1 - 4418 T + 8587340257 T^{2} \))(\( 1 - 75938 T + 8587340257 T^{2} \))(\( 1 - 128978 T + 8587340257 T^{2} \))(\( 1 + 2782 T + 8587340257 T^{2} \))(\( 1 - 143042 T + 8587340257 T^{2} \))(\( 1 + 144382 T + 8587340257 T^{2} \))(\( 1 + 97598 T + 8587340257 T^{2} \))(\( 1 - 23714 T + 8587340257 T^{2} \))(\( 1 + 49502 T + 8587340257 T^{2} \))(\( 1 + 1918 T + 8587340257 T^{2} \))(\( 1 + 33502 T + 8587340257 T^{2} \))(\( 1 - 35522 T + 8587340257 T^{2} \))(\( 1 - 10180 T + 16899916614 T^{2} - 87419123816260 T^{3} + 73742412689492826049 T^{4} \))(\( 1 - 147668 T + 11612429670 T^{2} - 1268075361070676 T^{3} + 73742412689492826049 T^{4} \))(\( 1 + 39260 T + 9987043590 T^{2} + 337138978489820 T^{3} + 73742412689492826049 T^{4} \))(\( 1 + 229100 T + 28475803110 T^{2} + 1967359652878700 T^{3} + 73742412689492826049 T^{4} \))(\( 1 + 98780 T + 9192302598 T^{2} + 848257470586460 T^{3} + 73742412689492826049 T^{4} \))(\( 1 + 24764 T + 1402516038 T^{2} + 212656894124348 T^{3} + 73742412689492826049 T^{4} \))(\( 1 - 10180 T + 16899916614 T^{2} - 87419123816260 T^{3} + 73742412689492826049 T^{4} \))(\( 1 + 36860 T + 14824711110 T^{2} + 316529361873020 T^{3} + 73742412689492826049 T^{4} \))(\( 1 + 98780 T + 9192302598 T^{2} + 848257470586460 T^{3} + 73742412689492826049 T^{4} \))(\( 1 + 229100 T + 28475803110 T^{2} + 1967359652878700 T^{3} + 73742412689492826049 T^{4} \))(\( 1 - 223734 T + 38248594287 T^{2} - 3912864163619380 T^{3} + \)\(32\!\cdots\!59\)\( T^{4} - \)\(16\!\cdots\!66\)\( T^{5} + \)\(63\!\cdots\!93\)\( T^{6} \))(\( 1 - 223734 T + 38248594287 T^{2} - 3912864163619380 T^{3} + \)\(32\!\cdots\!59\)\( T^{4} - \)\(16\!\cdots\!66\)\( T^{5} + \)\(63\!\cdots\!93\)\( T^{6} \))(\( 1 - 7720618690 T^{2} + 73742412689492826049 T^{4} \))(\( 1 + 1515110462 T^{2} + 73742412689492826049 T^{4} \))(\( ( 1 - 8587340257 T^{2} )^{2} \))(\( 1 - 15761405890 T^{2} + 73742412689492826049 T^{4} \))(\( 1 + 1515110462 T^{2} + 73742412689492826049 T^{4} \))(\( 1 - 6923133890 T^{2} + 73742412689492826049 T^{4} \))(\( 1 - 15808047490 T^{2} + 73742412689492826049 T^{4} \))(\( 1 - 19861637380 T^{2} + \)\(20\!\cdots\!98\)\( T^{4} - \)\(14\!\cdots\!20\)\( T^{6} + \)\(54\!\cdots\!01\)\( T^{8} \))(\( 1 - 19675914500 T^{2} + \)\(24\!\cdots\!98\)\( T^{4} - \)\(14\!\cdots\!00\)\( T^{6} + \)\(54\!\cdots\!01\)\( T^{8} \))(\( ( 1 - 17140767490 T^{2} + 73742412689492826049 T^{4} )^{2} \))(\( ( 1 - 13052162114 T^{2} + 73742412689492826049 T^{4} )^{2} \))(\( 1 - 18122177670 T^{2} + \)\(22\!\cdots\!47\)\( T^{4} - \)\(21\!\cdots\!60\)\( T^{6} + \)\(16\!\cdots\!03\)\( T^{8} - \)\(98\!\cdots\!70\)\( T^{10} + \)\(40\!\cdots\!49\)\( T^{12} \))(\( 1 - 7960147590 T^{2} + 45176095155574055247 T^{4} + \)\(10\!\cdots\!80\)\( T^{6} + \)\(33\!\cdots\!03\)\( T^{8} - \)\(43\!\cdots\!90\)\( T^{10} + \)\(40\!\cdots\!49\)\( T^{12} \))(\( 1 - 45263915272 T^{2} + \)\(10\!\cdots\!40\)\( T^{4} - \)\(14\!\cdots\!12\)\( T^{6} + \)\(15\!\cdots\!94\)\( T^{8} - \)\(11\!\cdots\!88\)\( T^{10} + \)\(55\!\cdots\!40\)\( T^{12} - \)\(18\!\cdots\!28\)\( T^{14} + \)\(29\!\cdots\!01\)\( T^{16} \))(\( 1 - 58225283080 T^{2} + \)\(15\!\cdots\!96\)\( T^{4} - \)\(24\!\cdots\!60\)\( T^{6} + \)\(25\!\cdots\!06\)\( T^{8} - \)\(18\!\cdots\!40\)\( T^{10} + \)\(84\!\cdots\!96\)\( T^{12} - \)\(23\!\cdots\!20\)\( T^{14} + \)\(29\!\cdots\!01\)\( T^{16} \))(\( ( 1 + 2457095672 T^{2} + \)\(27\!\cdots\!16\)\( T^{4} + \)\(49\!\cdots\!84\)\( T^{6} + \)\(29\!\cdots\!66\)\( T^{8} + \)\(36\!\cdots\!16\)\( T^{10} + \)\(14\!\cdots\!16\)\( T^{12} + \)\(98\!\cdots\!28\)\( T^{14} + \)\(29\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 - 67480 T + 22335214540 T^{2} - 1642150751661160 T^{3} + \)\(23\!\cdots\!98\)\( T^{4} - \)\(14\!\cdots\!20\)\( T^{5} + \)\(16\!\cdots\!60\)\( T^{6} - \)\(42\!\cdots\!40\)\( T^{7} + \)\(54\!\cdots\!01\)\( T^{8} )^{4} \))(\( ( 1 - 160808 T + 8587340257 T^{2} )^{2}( 1 + 160808 T + 8587340257 T^{2} )^{2} \))(\( ( 1 - 14563342250 T^{2} + 73742412689492826049 T^{4} )^{4} \))(\( ( 1 - 10821306410 T^{2} + 73742412689492826049 T^{4} )^{4} \))
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