Properties

Label 441.4
Level 441
Weight 4
Dimension 15863
Nonzero newspaces 20
Sturm bound 56448
Trace bound 3

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Defining parameters

Level: \( N \) = \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) = \( 4 \)
Nonzero newspaces: \( 20 \)
Sturm bound: \(56448\)
Trace bound: \(3\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(\Gamma_1(441))\).

Total New Old
Modular forms 21648 16300 5348
Cusp forms 20688 15863 4825
Eisenstein series 960 437 523

Trace form

\( 15863q - 48q^{2} - 63q^{3} - 58q^{4} - 84q^{5} - 51q^{6} - 78q^{7} + 39q^{8} - 15q^{9} + O(q^{10}) \) \( 15863q - 48q^{2} - 63q^{3} - 58q^{4} - 84q^{5} - 51q^{6} - 78q^{7} + 39q^{8} - 15q^{9} - 69q^{10} - 111q^{11} - 312q^{12} - 398q^{13} - 606q^{14} - 321q^{15} - 94q^{16} + 573q^{17} + 828q^{18} + 1087q^{19} + 3153q^{20} + 288q^{21} + 1692q^{22} + 510q^{23} + 417q^{24} - 469q^{25} - 1731q^{26} - 1284q^{27} - 1794q^{28} - 2550q^{29} - 2952q^{30} - 3548q^{31} - 6402q^{32} - 1350q^{33} - 2232q^{34} - 66q^{35} + 987q^{36} + 463q^{37} + 4842q^{38} + 3219q^{39} + 5013q^{40} + 5565q^{41} + 2634q^{42} + 4039q^{43} + 11991q^{44} + 2049q^{45} + 9123q^{46} + 3468q^{47} + 4983q^{48} + 1908q^{49} + 2079q^{50} + 1749q^{51} - 6449q^{52} - 4893q^{53} - 4401q^{54} - 4341q^{55} - 5604q^{56} - 4401q^{57} + 1533q^{58} - 8283q^{59} - 17316q^{60} + 70q^{61} - 12543q^{62} - 5280q^{63} - 2527q^{64} - 9012q^{65} - 13566q^{66} - 3761q^{67} - 23460q^{68} - 10713q^{69} - 8823q^{70} - 7629q^{71} + 1083q^{72} - 7739q^{73} + 2205q^{74} + 12441q^{75} - 1550q^{76} + 8280q^{77} + 24894q^{78} + 10462q^{79} + 22422q^{80} + 12309q^{81} + 13374q^{82} + 11760q^{83} + 7596q^{84} + 16545q^{85} + 16179q^{86} + 2739q^{87} - 6759q^{88} + 627q^{89} - 1644q^{90} + 4323q^{91} - 2538q^{92} - 3633q^{93} + 7734q^{94} + 8151q^{95} - 5628q^{96} - 1562q^{97} + 19596q^{98} - 7863q^{99} + O(q^{100}) \)

Decomposition of \(S_{4}^{\mathrm{new}}(\Gamma_1(441))\)

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
441.4.a \(\chi_{441}(1, \cdot)\) 441.4.a.a 1 1
441.4.a.b 1
441.4.a.c 1
441.4.a.d 1
441.4.a.e 1
441.4.a.f 1
441.4.a.g 1
441.4.a.h 1
441.4.a.i 1
441.4.a.j 1
441.4.a.k 1
441.4.a.l 1
441.4.a.m 1
441.4.a.n 2
441.4.a.o 2
441.4.a.p 2
441.4.a.q 2
441.4.a.r 2
441.4.a.s 3
441.4.a.t 3
441.4.a.u 4
441.4.a.v 4
441.4.a.w 4
441.4.a.x 8
441.4.c \(\chi_{441}(440, \cdot)\) 441.4.c.a 16 1
441.4.c.b 24
441.4.e \(\chi_{441}(226, \cdot)\) 441.4.e.a 2 2
441.4.e.b 2
441.4.e.c 2
441.4.e.d 2
441.4.e.e 2
441.4.e.f 2
441.4.e.g 2
441.4.e.h 2
441.4.e.i 2
441.4.e.j 2
441.4.e.k 2
441.4.e.l 2
441.4.e.m 2
441.4.e.n 2
441.4.e.o 2
441.4.e.p 4
441.4.e.q 4
441.4.e.r 4
441.4.e.s 4
441.4.e.t 4
441.4.e.u 4
441.4.e.v 4
441.4.e.w 6
441.4.e.x 8
441.4.e.y 8
441.4.e.z 16
441.4.f \(\chi_{441}(148, \cdot)\) n/a 236 2
441.4.g \(\chi_{441}(67, \cdot)\) n/a 232 2
441.4.h \(\chi_{441}(214, \cdot)\) n/a 232 2
441.4.i \(\chi_{441}(68, \cdot)\) n/a 232 2
441.4.o \(\chi_{441}(146, \cdot)\) n/a 232 2
441.4.p \(\chi_{441}(80, \cdot)\) 441.4.p.a 8 2
441.4.p.b 8
441.4.p.c 16
441.4.p.d 48
441.4.s \(\chi_{441}(362, \cdot)\) n/a 232 2
441.4.u \(\chi_{441}(64, \cdot)\) n/a 414 6
441.4.w \(\chi_{441}(62, \cdot)\) n/a 336 6
441.4.y \(\chi_{441}(25, \cdot)\) n/a 1992 12
441.4.z \(\chi_{441}(4, \cdot)\) n/a 1992 12
441.4.ba \(\chi_{441}(22, \cdot)\) n/a 1992 12
441.4.bb \(\chi_{441}(37, \cdot)\) n/a 828 12
441.4.bd \(\chi_{441}(47, \cdot)\) n/a 1992 12
441.4.bg \(\chi_{441}(17, \cdot)\) n/a 672 12
441.4.bh \(\chi_{441}(20, \cdot)\) n/a 1992 12
441.4.bn \(\chi_{441}(5, \cdot)\) n/a 1992 12

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

Decomposition of \(S_{4}^{\mathrm{old}}(\Gamma_1(441))\) into lower level spaces

\( S_{4}^{\mathrm{old}}(\Gamma_1(441)) \cong \) \(S_{4}^{\mathrm{new}}(\Gamma_1(7))\)\(^{\oplus 6}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(9))\)\(^{\oplus 3}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(21))\)\(^{\oplus 4}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(49))\)\(^{\oplus 3}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(63))\)\(^{\oplus 2}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(147))\)\(^{\oplus 2}\)

Hecke characteristic polynomials

$p$ $F_p(T)$
$2$ (\( 1 + 4 T + 8 T^{2} \))(\( 1 + 4 T + 8 T^{2} \))(\( 1 + 4 T + 8 T^{2} \))(\( 1 + 2 T + 8 T^{2} \))(\( 1 + 2 T + 8 T^{2} \))(\( 1 + 8 T^{2} \))(\( 1 - T + 8 T^{2} \))(\( 1 - T + 8 T^{2} \))(\( 1 - T + 8 T^{2} \))(\( 1 - 3 T + 8 T^{2} \))(\( 1 - 3 T + 8 T^{2} \))(\( 1 - 3 T + 8 T^{2} \))(\( 1 - 5 T + 8 T^{2} \))(\( 1 + 2 T + 15 T^{2} + 16 T^{3} + 64 T^{4} \))(\( 1 + 2 T + 15 T^{2} + 16 T^{3} + 64 T^{4} \))(\( 1 + 9 T^{2} + 64 T^{4} \))(\( 1 - 3 T^{2} + 64 T^{4} \))(\( 1 - 3 T + 4 T^{2} - 24 T^{3} + 64 T^{4} \))(\( 1 + T + 10 T^{3} + 64 T^{5} + 512 T^{6} \))(\( 1 + T + 10 T^{3} + 64 T^{5} + 512 T^{6} \))(\( ( 1 + T + 8 T^{3} + 64 T^{4} )^{2} \))(\( 1 + 13 T^{2} + 122 T^{4} + 832 T^{6} + 4096 T^{8} \))(\( 1 + 13 T^{2} + 122 T^{4} + 832 T^{6} + 4096 T^{8} \))(\( ( 1 - T^{2} - 32 T^{4} - 64 T^{6} + 4096 T^{8} )^{2} \))(\( ( 1 - 16 T^{2} + 145 T^{4} - 1658 T^{6} + 17060 T^{8} - 106112 T^{10} + 593920 T^{12} - 4194304 T^{14} + 16777216 T^{16} )^{2} \))(\( 1 + 5 T + 17 T^{2} + 40 T^{3} + 64 T^{4} \))(\( 1 + 3 T + T^{2} + 24 T^{3} + 64 T^{4} \))(\( 1 + 3 T + T^{2} + 24 T^{3} + 64 T^{4} \))(\( 1 + 3 T + T^{2} + 24 T^{3} + 64 T^{4} \))(\( 1 + T - 7 T^{2} + 8 T^{3} + 64 T^{4} \))(\( 1 + T - 7 T^{2} + 8 T^{3} + 64 T^{4} \))(\( 1 + T - 7 T^{2} + 8 T^{3} + 64 T^{4} \))(\( 1 + T - 7 T^{2} + 8 T^{3} + 64 T^{4} \))(\( 1 - 8 T^{2} + 64 T^{4} \))(\( 1 - 8 T^{2} + 64 T^{4} \))(\( 1 - 2 T - 4 T^{2} - 16 T^{3} + 64 T^{4} \))(\( 1 - 4 T + 8 T^{2} - 32 T^{3} + 64 T^{4} \))(\( 1 - 4 T + 8 T^{2} - 32 T^{3} + 64 T^{4} \))(\( 1 - 4 T + 8 T^{2} - 32 T^{3} + 64 T^{4} \))(\( 1 - 4 T + 8 T^{2} - 32 T^{3} + 64 T^{4} \))(\( 1 + 3 T + 5 T^{2} - 36 T^{3} - 120 T^{4} - 288 T^{5} + 320 T^{6} + 1536 T^{7} + 4096 T^{8} \))(\( 1 + 3 T + 5 T^{2} - 36 T^{3} - 120 T^{4} - 288 T^{5} + 320 T^{6} + 1536 T^{7} + 4096 T^{8} \))(\( 1 + 3 T^{2} - 55 T^{4} + 192 T^{6} + 4096 T^{8} \))(\( 1 + 3 T^{2} - 55 T^{4} + 192 T^{6} + 4096 T^{8} \))(\( 1 - 9 T^{2} + 17 T^{4} - 576 T^{6} + 4096 T^{8} \))(\( 1 - 2 T - 11 T^{2} + 2 T^{3} + 129 T^{4} + 16 T^{5} - 704 T^{6} - 1024 T^{7} + 4096 T^{8} \))(\( 1 - 2 T - 11 T^{2} + 2 T^{3} + 129 T^{4} + 16 T^{5} - 704 T^{6} - 1024 T^{7} + 4096 T^{8} \))(\( 1 - T + T^{2} + 20 T^{3} - 10 T^{4} - 64 T^{5} + 1060 T^{6} - 512 T^{7} - 640 T^{8} + 10240 T^{9} + 4096 T^{10} - 32768 T^{11} + 262144 T^{12} \))(\( 1 - 13 T^{2} + 47 T^{4} + 78 T^{6} - 28 T^{8} + 4992 T^{10} + 192512 T^{12} - 3407872 T^{14} + 16777216 T^{16} \))(\( ( 1 - T + T^{2} + 16 T^{3} - 72 T^{4} + 128 T^{5} + 64 T^{6} - 512 T^{7} + 4096 T^{8} )^{2} \))(\( ( 1 + T^{2} + 33 T^{4} - 160 T^{6} - 3136 T^{8} - 10240 T^{10} + 135168 T^{12} + 262144 T^{14} + 16777216 T^{16} )^{2} \))(\( ( 1 + 8 T^{2} )^{4}( 1 - 8 T^{2} + 64 T^{4} )^{2} \))(\( 1 + 47 T^{4} - 1887 T^{8} + 192512 T^{12} + 16777216 T^{16} \))(\( 1 + 16 T^{2} + 111 T^{4} - 996 T^{6} - 22563 T^{8} - 199398 T^{10} - 234688 T^{12} + 11210024 T^{14} + 146432016 T^{16} + 717441536 T^{18} - 961282048 T^{20} - 52270989312 T^{22} - 378544324608 T^{24} - 1069446856704 T^{26} + 7627861917696 T^{28} + 70368744177664 T^{30} + 281474976710656 T^{32} \))
$3$ 1
$5$ (\( 1 + 18 T + 125 T^{2} \))(\( 1 + 4 T + 125 T^{2} \))(\( 1 - 18 T + 125 T^{2} \))(\( 1 + 7 T + 125 T^{2} \))(\( 1 - 7 T + 125 T^{2} \))(\( 1 + 125 T^{2} \))(\( 1 + 12 T + 125 T^{2} \))(\( 1 - 12 T + 125 T^{2} \))(\( 1 - 16 T + 125 T^{2} \))(\( 1 + 18 T + 125 T^{2} \))(\( 1 + 3 T + 125 T^{2} \))(\( 1 - 3 T + 125 T^{2} \))(\( 1 + 125 T^{2} \))(\( 1 + 20 T + 252 T^{2} + 2500 T^{3} + 15625 T^{4} \))(\( 1 - 20 T + 252 T^{2} - 2500 T^{3} + 15625 T^{4} \))(\( ( 1 + 125 T^{2} )^{2} \))(\( 1 + 174 T^{2} + 15625 T^{4} \))(\( 1 - 6 T + 202 T^{2} - 750 T^{3} + 15625 T^{4} \))(\( 1 + 11 T + 183 T^{2} + 1514 T^{3} + 22875 T^{4} + 171875 T^{5} + 1953125 T^{6} \))(\( 1 - 11 T + 183 T^{2} - 1514 T^{3} + 22875 T^{4} - 171875 T^{5} + 1953125 T^{6} \))(\( 1 + 314 T^{2} + 48034 T^{4} + 4906250 T^{6} + 244140625 T^{8} \))(\( 1 + 67 T^{2} + 18428 T^{4} + 1046875 T^{6} + 244140625 T^{8} \))(\( 1 + 67 T^{2} + 18428 T^{4} + 1046875 T^{6} + 244140625 T^{8} \))(\( ( 1 + 116 T^{2} + 32050 T^{4} + 1812500 T^{6} + 244140625 T^{8} )^{2} \))(\( ( 1 + 490 T^{2} + 138925 T^{4} + 27302758 T^{6} + 3917065816 T^{8} + 426605593750 T^{10} + 33917236328125 T^{12} + 1869201660156250 T^{14} + 59604644775390625 T^{16} )^{2} \))(\( 1 - 125 T^{2} + 15625 T^{4} \))(\( 1 + 18 T + 199 T^{2} + 2250 T^{3} + 15625 T^{4} \))(\( 1 - 3 T - 116 T^{2} - 375 T^{3} + 15625 T^{4} \))(\( 1 - 18 T + 199 T^{2} - 2250 T^{3} + 15625 T^{4} \))(\( 1 + 16 T + 131 T^{2} + 2000 T^{3} + 15625 T^{4} \))(\( 1 + 12 T + 19 T^{2} + 1500 T^{3} + 15625 T^{4} \))(\( 1 - 12 T + 19 T^{2} - 1500 T^{3} + 15625 T^{4} \))(\( 1 - 16 T + 131 T^{2} - 2000 T^{3} + 15625 T^{4} \))(\( 1 - 125 T^{2} + 15625 T^{4} \))(\( 1 - 125 T^{2} + 15625 T^{4} \))(\( 1 + 7 T - 76 T^{2} + 875 T^{3} + 15625 T^{4} \))(\( 1 + 18 T + 199 T^{2} + 2250 T^{3} + 15625 T^{4} \))(\( 1 + 4 T - 109 T^{2} + 500 T^{3} + 15625 T^{4} \))(\( 1 - 4 T - 109 T^{2} - 500 T^{3} + 15625 T^{4} \))(\( 1 - 18 T + 199 T^{2} - 2250 T^{3} + 15625 T^{4} \))(\( 1 + 6 T - 166 T^{2} - 288 T^{3} + 20679 T^{4} - 36000 T^{5} - 2593750 T^{6} + 11718750 T^{7} + 244140625 T^{8} \))(\( 1 - 6 T - 166 T^{2} + 288 T^{3} + 20679 T^{4} + 36000 T^{5} - 2593750 T^{6} - 11718750 T^{7} + 244140625 T^{8} \))(\( 1 - 174 T^{2} + 14651 T^{4} - 2718750 T^{6} + 244140625 T^{8} \))(\( 1 - 174 T^{2} + 14651 T^{4} - 2718750 T^{6} + 244140625 T^{8} \))(\( ( 1 - 125 T^{2} + 15625 T^{4} )^{2} \))(\( 1 + 20 T + 148 T^{2} + 40 T^{3} - 2121 T^{4} + 5000 T^{5} + 2312500 T^{6} + 39062500 T^{7} + 244140625 T^{8} \))(\( 1 - 20 T + 148 T^{2} - 40 T^{3} - 2121 T^{4} - 5000 T^{5} + 2312500 T^{6} - 39062500 T^{7} + 244140625 T^{8} \))(\( 1 + 11 T - 62 T^{2} - 1015 T^{3} - 6040 T^{4} - 54313 T^{5} + 121696 T^{6} - 6789125 T^{7} - 94375000 T^{8} - 1982421875 T^{9} - 15136718750 T^{10} + 335693359375 T^{11} + 3814697265625 T^{12} \))(\( 1 - 67 T^{2} - 13939 T^{4} + 859074 T^{6} + 25309934 T^{8} + 13423031250 T^{10} - 3403076171875 T^{12} - 255584716796875 T^{14} + 59604644775390625 T^{16} \))(\( 1 - 314 T^{2} + 50562 T^{4} - 5270176 T^{6} + 522562031 T^{8} - 82346500000 T^{10} + 12344238281250 T^{12} - 1197814941406250 T^{14} + 59604644775390625 T^{16} \))(\( ( 1 - 116 T^{2} - 18594 T^{4} - 92800 T^{6} + 572811875 T^{8} - 1450000000 T^{10} - 4539550781250 T^{12} - 442504882812500 T^{14} + 59604644775390625 T^{16} )^{2} \))(\( ( 1 + 194 T^{2} + 22011 T^{4} + 3031250 T^{6} + 244140625 T^{8} )^{2} \))(\( ( 1 - 125 T^{2} + 15625 T^{4} )^{4} \))(\( 1 - 490 T^{2} + 101175 T^{4} - 13467734 T^{6} + 2004738389 T^{8} - 380916749220 T^{10} + 60059957637514 T^{12} - 6902983281820528 T^{14} + 756156244566152106 T^{16} - \)\(10\!\cdots\!00\)\( T^{18} + \)\(14\!\cdots\!50\)\( T^{20} - \)\(14\!\cdots\!00\)\( T^{22} + \)\(11\!\cdots\!25\)\( T^{24} - \)\(12\!\cdots\!50\)\( T^{26} + \)\(14\!\cdots\!75\)\( T^{28} - \)\(11\!\cdots\!50\)\( T^{30} + \)\(35\!\cdots\!25\)\( T^{32} \))
$7$ 1
$11$ (\( 1 - 50 T + 1331 T^{2} \))(\( 1 + 62 T + 1331 T^{2} \))(\( 1 - 50 T + 1331 T^{2} \))(\( 1 - 5 T + 1331 T^{2} \))(\( 1 - 5 T + 1331 T^{2} \))(\( 1 + 1331 T^{2} \))(\( 1 + 20 T + 1331 T^{2} \))(\( 1 + 20 T + 1331 T^{2} \))(\( 1 - 8 T + 1331 T^{2} \))(\( 1 - 36 T + 1331 T^{2} \))(\( 1 - 15 T + 1331 T^{2} \))(\( 1 - 15 T + 1331 T^{2} \))(\( 1 - 68 T + 1331 T^{2} \))(\( 1 - 20 T + 1610 T^{2} - 26620 T^{3} + 1771561 T^{4} \))(\( 1 - 20 T + 1610 T^{2} - 26620 T^{3} + 1771561 T^{4} \))(\( 1 + 1962 T^{2} + 1771561 T^{4} \))(\( 1 + 762 T^{2} + 1771561 T^{4} \))(\( 1 - 6 T + 1246 T^{2} - 7986 T^{3} + 1771561 T^{4} \))(\( 1 + 35 T + 2625 T^{2} + 102734 T^{3} + 3493875 T^{4} + 62004635 T^{5} + 2357947691 T^{6} \))(\( 1 + 35 T + 2625 T^{2} + 102734 T^{3} + 3493875 T^{4} + 62004635 T^{5} + 2357947691 T^{6} \))(\( ( 1 + 50 T + 2702 T^{2} + 66550 T^{3} + 1771561 T^{4} )^{2} \))(\( 1 + 1387 T^{2} + 837200 T^{4} + 2457155107 T^{6} + 3138428376721 T^{8} \))(\( 1 + 1387 T^{2} + 837200 T^{4} + 2457155107 T^{6} + 3138428376721 T^{8} \))(\( ( 1 + 2976 T^{2} + 5734190 T^{4} + 5272165536 T^{6} + 3138428376721 T^{8} )^{2} \))(\( ( 1 - 3202 T^{2} + 8455357 T^{4} - 16341433166 T^{6} + 23699042774456 T^{8} - 28949845680992126 T^{10} + 26536532344106544397 T^{12} - \)\(17\!\cdots\!62\)\( T^{14} + \)\(98\!\cdots\!41\)\( T^{16} )^{2} \))(\( 1 + 68 T + 3293 T^{2} + 90508 T^{3} + 1771561 T^{4} \))(\( 1 + 36 T - 35 T^{2} + 47916 T^{3} + 1771561 T^{4} \))(\( 1 + 15 T - 1106 T^{2} + 19965 T^{3} + 1771561 T^{4} \))(\( 1 + 36 T - 35 T^{2} + 47916 T^{3} + 1771561 T^{4} \))(\( 1 + 8 T - 1267 T^{2} + 10648 T^{3} + 1771561 T^{4} \))(\( 1 - 20 T - 931 T^{2} - 26620 T^{3} + 1771561 T^{4} \))(\( 1 - 20 T - 931 T^{2} - 26620 T^{3} + 1771561 T^{4} \))(\( 1 + 8 T - 1267 T^{2} + 10648 T^{3} + 1771561 T^{4} \))(\( 1 - 1331 T^{2} + 1771561 T^{4} \))(\( 1 - 1331 T^{2} + 1771561 T^{4} \))(\( 1 + 5 T - 1306 T^{2} + 6655 T^{3} + 1771561 T^{4} \))(\( 1 + 50 T + 1169 T^{2} + 66550 T^{3} + 1771561 T^{4} \))(\( 1 - 62 T + 2513 T^{2} - 82522 T^{3} + 1771561 T^{4} \))(\( 1 - 62 T + 2513 T^{2} - 82522 T^{3} + 1771561 T^{4} \))(\( 1 + 50 T + 1169 T^{2} + 66550 T^{3} + 1771561 T^{4} \))(\( 1 + 6 T - 1210 T^{2} - 8496 T^{3} - 266961 T^{4} - 11308176 T^{5} - 2143588810 T^{6} + 14147686146 T^{7} + 3138428376721 T^{8} \))(\( 1 + 6 T - 1210 T^{2} - 8496 T^{3} - 266961 T^{4} - 11308176 T^{5} - 2143588810 T^{6} + 14147686146 T^{7} + 3138428376721 T^{8} \))(\( 1 - 762 T^{2} - 1190917 T^{4} - 1349929482 T^{6} + 3138428376721 T^{8} \))(\( 1 - 762 T^{2} - 1190917 T^{4} - 1349929482 T^{6} + 3138428376721 T^{8} \))(\( 1 - 1962 T^{2} + 2077883 T^{4} - 3475802682 T^{6} + 3138428376721 T^{8} \))(\( 1 + 20 T - 1210 T^{2} - 21040 T^{3} + 288139 T^{4} - 28004240 T^{5} - 2143588810 T^{6} + 47158953820 T^{7} + 3138428376721 T^{8} \))(\( 1 + 20 T - 1210 T^{2} - 21040 T^{3} + 288139 T^{4} - 28004240 T^{5} - 2143588810 T^{6} + 47158953820 T^{7} + 3138428376721 T^{8} \))(\( 1 - 35 T - 1400 T^{2} + 113593 T^{3} - 198940 T^{4} - 87110135 T^{5} + 3928586038 T^{6} - 115943589685 T^{7} - 352434345340 T^{8} + 267846352063763 T^{9} - 4393799727409400 T^{10} - 146203685929547785 T^{11} + 5559917313492231481 T^{12} \))(\( 1 - 1387 T^{2} + 1086569 T^{4} + 3753113814 T^{6} - 5845598670130 T^{8} + 6648870061443654 T^{10} + 3410118982865360249 T^{12} - \)\(77\!\cdots\!47\)\( T^{14} + \)\(98\!\cdots\!41\)\( T^{16} \))(\( ( 1 - 50 T - 202 T^{2} - 2000 T^{3} + 2201743 T^{4} - 2662000 T^{5} - 357855322 T^{6} - 117897384550 T^{7} + 3138428376721 T^{8} )^{2} \))(\( ( 1 - 2976 T^{2} + 3122386 T^{4} - 6520618368 T^{6} + 14052541944243 T^{8} - 11551673196632448 T^{10} + 9799384825476376306 T^{12} - \)\(16\!\cdots\!56\)\( T^{14} + \)\(98\!\cdots\!41\)\( T^{16} )^{2} \))(\( ( 1 + 2420 T^{2} + 4084839 T^{4} + 4287177620 T^{6} + 3138428376721 T^{8} )^{2} \))(\( 1 - 306322 T^{4} - 3044595209037 T^{8} - 961369657213930162 T^{12} + \)\(98\!\cdots\!41\)\( T^{16} \))(\( 1 + 3202 T^{2} + 1797447 T^{4} - 5608813218 T^{6} - 4531249774539 T^{8} + 15353827063546164 T^{10} + 27034229520225124106 T^{12} + \)\(48\!\cdots\!88\)\( T^{14} - \)\(31\!\cdots\!02\)\( T^{16} + \)\(86\!\cdots\!68\)\( T^{18} + \)\(84\!\cdots\!26\)\( T^{20} + \)\(85\!\cdots\!84\)\( T^{22} - \)\(44\!\cdots\!99\)\( T^{24} - \)\(97\!\cdots\!18\)\( T^{26} + \)\(55\!\cdots\!67\)\( T^{28} + \)\(17\!\cdots\!42\)\( T^{30} + \)\(97\!\cdots\!81\)\( T^{32} \))
$13$ (\( 1 + 36 T + 2197 T^{2} \))(\( 1 - 62 T + 2197 T^{2} \))(\( 1 - 36 T + 2197 T^{2} \))(\( 1 + 14 T + 2197 T^{2} \))(\( 1 - 14 T + 2197 T^{2} \))(\( 1 - 70 T + 2197 T^{2} \))(\( 1 + 84 T + 2197 T^{2} \))(\( 1 - 84 T + 2197 T^{2} \))(\( 1 + 28 T + 2197 T^{2} \))(\( 1 - 34 T + 2197 T^{2} \))(\( 1 - 64 T + 2197 T^{2} \))(\( 1 + 64 T + 2197 T^{2} \))(\( 1 + 2197 T^{2} \))(\( 1 - 104 T + 5848 T^{2} - 228488 T^{3} + 4826809 T^{4} \))(\( 1 + 104 T + 5848 T^{2} + 228488 T^{3} + 4826809 T^{4} \))(\( ( 1 + 2197 T^{2} )^{2} \))(\( ( 1 + 82 T + 2197 T^{2} )^{2} \))(\( 1 + 16 T + 2406 T^{2} + 35152 T^{3} + 4826809 T^{4} \))(\( 1 - 62 T + 7016 T^{2} - 253976 T^{3} + 15414152 T^{4} - 299262158 T^{5} + 10604499373 T^{6} \))(\( 1 + 62 T + 7016 T^{2} + 253976 T^{3} + 15414152 T^{4} + 299262158 T^{5} + 10604499373 T^{6} \))(\( 1 + 5554 T^{2} + 17209282 T^{4} + 26808097186 T^{6} + 23298085122481 T^{8} \))(\( ( 1 + 51 T + 4996 T^{2} + 112047 T^{3} + 4826809 T^{4} )^{2} \))(\( ( 1 - 51 T + 4996 T^{2} - 112047 T^{3} + 4826809 T^{4} )^{2} \))(\( ( 1 + 3520 T^{2} + 5818162 T^{4} + 16990367680 T^{6} + 23298085122481 T^{8} )^{2} \))(\( ( 1 - 4502 T^{2} + 10097461 T^{4} - 24107307194 T^{6} + 60089639013832 T^{8} - 116361367329763946 T^{10} + \)\(23\!\cdots\!41\)\( T^{12} - \)\(50\!\cdots\!58\)\( T^{14} + \)\(54\!\cdots\!61\)\( T^{16} )^{2} \))(\( ( 1 + 2197 T^{2} )^{2} \))(\( ( 1 + 34 T + 2197 T^{2} )^{2} \))(\( ( 1 - 64 T + 2197 T^{2} )^{2} \))(\( ( 1 - 34 T + 2197 T^{2} )^{2} \))(\( ( 1 + 28 T + 2197 T^{2} )^{2} \))(\( ( 1 - 84 T + 2197 T^{2} )^{2} \))(\( ( 1 + 84 T + 2197 T^{2} )^{2} \))(\( ( 1 - 28 T + 2197 T^{2} )^{2} \))(\( ( 1 + 70 T + 2197 T^{2} )^{2} \))(\( ( 1 - 70 T + 2197 T^{2} )^{2} \))(\( ( 1 - 14 T + 2197 T^{2} )^{2} \))(\( ( 1 - 36 T + 2197 T^{2} )^{2} \))(\( ( 1 + 62 T + 2197 T^{2} )^{2} \))(\( ( 1 - 62 T + 2197 T^{2} )^{2} \))(\( ( 1 + 36 T + 2197 T^{2} )^{2} \))(\( ( 1 + 16 T + 2406 T^{2} + 35152 T^{3} + 4826809 T^{4} )^{2} \))(\( ( 1 - 16 T + 2406 T^{2} - 35152 T^{3} + 4826809 T^{4} )^{2} \))(\( ( 1 - 82 T + 2197 T^{2} )^{4} \))(\( ( 1 + 82 T + 2197 T^{2} )^{4} \))(\( ( 1 + 2197 T^{2} )^{4} \))(\( ( 1 + 104 T + 5848 T^{2} + 228488 T^{3} + 4826809 T^{4} )^{2} \))(\( ( 1 - 104 T + 5848 T^{2} - 228488 T^{3} + 4826809 T^{4} )^{2} \))(\( ( 1 + 62 T + 7016 T^{2} + 253976 T^{3} + 15414152 T^{4} + 299262158 T^{5} + 10604499373 T^{6} )^{2} \))(\( ( 1 + 51 T + 4996 T^{2} + 112047 T^{3} + 4826809 T^{4} )^{4} \))(\( ( 1 + 5554 T^{2} + 17209282 T^{4} + 26808097186 T^{6} + 23298085122481 T^{8} )^{2} \))(\( ( 1 + 3520 T^{2} + 5818162 T^{4} + 16990367680 T^{6} + 23298085122481 T^{8} )^{4} \))(\( ( 1 - 3506 T^{2} + 4826809 T^{4} )^{4} \))(\( ( 1 - 2197 T^{2} )^{8} \))(\( ( 1 - 4502 T^{2} + 10097461 T^{4} - 24107307194 T^{6} + 60089639013832 T^{8} - 116361367329763946 T^{10} + \)\(23\!\cdots\!41\)\( T^{12} - \)\(50\!\cdots\!58\)\( T^{14} + \)\(54\!\cdots\!61\)\( T^{16} )^{2} \))
$17$ (\( 1 + 126 T + 4913 T^{2} \))(\( 1 - 84 T + 4913 T^{2} \))(\( 1 - 126 T + 4913 T^{2} \))(\( 1 - 21 T + 4913 T^{2} \))(\( 1 + 21 T + 4913 T^{2} \))(\( 1 + 4913 T^{2} \))(\( 1 - 96 T + 4913 T^{2} \))(\( 1 + 96 T + 4913 T^{2} \))(\( 1 - 54 T + 4913 T^{2} \))(\( 1 - 42 T + 4913 T^{2} \))(\( 1 - 84 T + 4913 T^{2} \))(\( 1 + 84 T + 4913 T^{2} \))(\( 1 + 4913 T^{2} \))(\( 1 + 116 T + 9140 T^{2} + 569908 T^{3} + 24137569 T^{4} \))(\( 1 - 116 T + 9140 T^{2} - 569908 T^{3} + 24137569 T^{4} \))(\( ( 1 + 4913 T^{2} )^{2} \))(\( 1 + 3670 T^{2} + 24137569 T^{4} \))(\( 1 + 6 T + 9778 T^{2} + 29478 T^{3} + 24137569 T^{4} \))(\( 1 + 48 T + 12339 T^{2} + 358752 T^{3} + 60621507 T^{4} + 1158603312 T^{5} + 118587876497 T^{6} \))(\( 1 - 48 T + 12339 T^{2} - 358752 T^{3} + 60621507 T^{4} - 1158603312 T^{5} + 118587876497 T^{6} \))(\( 1 + 5088 T^{2} + 11466434 T^{4} + 122811951072 T^{6} + 582622237229761 T^{8} \))(\( 1 + 4256 T^{2} + 51629310 T^{4} + 102729493664 T^{6} + 582622237229761 T^{8} \))(\( 1 + 4256 T^{2} + 51629310 T^{4} + 102729493664 T^{6} + 582622237229761 T^{8} \))(\( ( 1 + 9156 T^{2} + 49826306 T^{4} + 221003581764 T^{6} + 582622237229761 T^{8} )^{2} \))(\( ( 1 + 16948 T^{2} + 203031496 T^{4} + 1520947046428 T^{6} + 8936065158707086 T^{8} + 36711964278502053532 T^{10} + \)\(11\!\cdots\!56\)\( T^{12} + \)\(23\!\cdots\!32\)\( T^{14} + \)\(33\!\cdots\!21\)\( T^{16} )^{2} \))(\( 1 - 4913 T^{2} + 24137569 T^{4} \))(\( 1 - 42 T - 3149 T^{2} - 206346 T^{3} + 24137569 T^{4} \))(\( 1 + 84 T + 2143 T^{2} + 412692 T^{3} + 24137569 T^{4} \))(\( 1 + 42 T - 3149 T^{2} + 206346 T^{3} + 24137569 T^{4} \))(\( 1 + 54 T - 1997 T^{2} + 265302 T^{3} + 24137569 T^{4} \))(\( 1 - 96 T + 4303 T^{2} - 471648 T^{3} + 24137569 T^{4} \))(\( 1 + 96 T + 4303 T^{2} + 471648 T^{3} + 24137569 T^{4} \))(\( 1 - 54 T - 1997 T^{2} - 265302 T^{3} + 24137569 T^{4} \))(\( 1 - 4913 T^{2} + 24137569 T^{4} \))(\( 1 - 4913 T^{2} + 24137569 T^{4} \))(\( 1 - 21 T - 4472 T^{2} - 103173 T^{3} + 24137569 T^{4} \))(\( 1 + 126 T + 10963 T^{2} + 619038 T^{3} + 24137569 T^{4} \))(\( 1 - 84 T + 2143 T^{2} - 412692 T^{3} + 24137569 T^{4} \))(\( 1 + 84 T + 2143 T^{2} + 412692 T^{3} + 24137569 T^{4} \))(\( 1 - 126 T + 10963 T^{2} - 619038 T^{3} + 24137569 T^{4} \))(\( 1 - 6 T - 9742 T^{2} + 288 T^{3} + 71294847 T^{4} + 1414944 T^{5} - 235148197198 T^{6} - 711527258982 T^{7} + 582622237229761 T^{8} \))(\( 1 + 6 T - 9742 T^{2} - 288 T^{3} + 71294847 T^{4} - 1414944 T^{5} - 235148197198 T^{6} + 711527258982 T^{7} + 582622237229761 T^{8} \))(\( 1 - 3670 T^{2} - 10668669 T^{4} - 88584878230 T^{6} + 582622237229761 T^{8} \))(\( 1 - 3670 T^{2} - 10668669 T^{4} - 88584878230 T^{6} + 582622237229761 T^{8} \))(\( ( 1 - 4913 T^{2} + 24137569 T^{4} )^{2} \))(\( 1 + 116 T + 4316 T^{2} - 79576 T^{3} - 6707297 T^{4} - 390956888 T^{5} + 104177747804 T^{6} + 13756193673652 T^{7} + 582622237229761 T^{8} \))(\( 1 - 116 T + 4316 T^{2} + 79576 T^{3} - 6707297 T^{4} + 390956888 T^{5} + 104177747804 T^{6} - 13756193673652 T^{7} + 582622237229761 T^{8} \))(\( 1 + 48 T - 10035 T^{2} - 125232 T^{3} + 74409318 T^{4} - 234420432 T^{5} - 437742983351 T^{6} - 1151707582416 T^{7} + 1796060047467942 T^{8} - 14850996949472304 T^{9} - 5846614150600651635 T^{10} + \)\(13\!\cdots\!64\)\( T^{11} + \)\(14\!\cdots\!09\)\( T^{12} \))(\( 1 - 4256 T^{2} - 33515774 T^{4} - 14275356032 T^{6} + 1645746688812355 T^{8} - 344572391221966208 T^{10} - \)\(19\!\cdots\!14\)\( T^{12} - \)\(59\!\cdots\!04\)\( T^{14} + \)\(33\!\cdots\!21\)\( T^{16} \))(\( 1 - 5088 T^{2} + 14421310 T^{4} + 187282685952 T^{6} - 1076010335607741 T^{8} + 4520548754671730688 T^{10} + \)\(84\!\cdots\!10\)\( T^{12} - \)\(71\!\cdots\!92\)\( T^{14} + \)\(33\!\cdots\!21\)\( T^{16} \))(\( ( 1 - 9156 T^{2} + 34006030 T^{4} - 14202494208 T^{6} - 123470262255309 T^{8} - 342813683917700352 T^{10} + \)\(19\!\cdots\!30\)\( T^{12} - \)\(12\!\cdots\!04\)\( T^{14} + \)\(33\!\cdots\!21\)\( T^{16} )^{2} \))(\( ( 1 - 5830 T^{2} + 9851331 T^{4} - 140722027270 T^{6} + 582622237229761 T^{8} )^{2} \))(\( ( 1 - 4913 T^{2} + 24137569 T^{4} )^{4} \))(\( 1 - 16948 T^{2} + 84203208 T^{4} - 399083701352 T^{6} + 6508712666429186 T^{8} - 42615253832024962764 T^{10} + \)\(11\!\cdots\!04\)\( T^{12} - \)\(92\!\cdots\!84\)\( T^{14} + \)\(77\!\cdots\!75\)\( T^{16} - \)\(22\!\cdots\!96\)\( T^{18} + \)\(66\!\cdots\!44\)\( T^{20} - \)\(59\!\cdots\!76\)\( T^{22} + \)\(22\!\cdots\!06\)\( T^{24} - \)\(32\!\cdots\!48\)\( T^{26} + \)\(16\!\cdots\!48\)\( T^{28} - \)\(80\!\cdots\!72\)\( T^{30} + \)\(11\!\cdots\!41\)\( T^{32} \))
$19$ (\( 1 + 72 T + 6859 T^{2} \))(\( 1 + 100 T + 6859 T^{2} \))(\( 1 - 72 T + 6859 T^{2} \))(\( 1 - 49 T + 6859 T^{2} \))(\( 1 + 49 T + 6859 T^{2} \))(\( 1 + 56 T + 6859 T^{2} \))(\( 1 - 12 T + 6859 T^{2} \))(\( 1 + 12 T + 6859 T^{2} \))(\( 1 - 110 T + 6859 T^{2} \))(\( 1 - 124 T + 6859 T^{2} \))(\( 1 - 16 T + 6859 T^{2} \))(\( 1 + 16 T + 6859 T^{2} \))(\( 1 + 6859 T^{2} \))(\( 1 - 192 T + 21966 T^{2} - 1316928 T^{3} + 47045881 T^{4} \))(\( 1 + 192 T + 21966 T^{2} + 1316928 T^{3} + 47045881 T^{4} \))(\( ( 1 + 6859 T^{2} )^{2} \))(\( ( 1 - 20 T + 6859 T^{2} )^{2} \))(\( 1 + 64 T + 6534 T^{2} + 438976 T^{3} + 47045881 T^{4} \))(\( 1 + 202 T + 32858 T^{2} + 3004840 T^{3} + 225373022 T^{4} + 9503267962 T^{5} + 322687697779 T^{6} \))(\( 1 - 202 T + 32858 T^{2} - 3004840 T^{3} + 225373022 T^{4} - 9503267962 T^{5} + 322687697779 T^{6} \))(\( 1 + 12690 T^{2} + 132581162 T^{4} + 597012229890 T^{6} + 2213314919066161 T^{8} \))(\( ( 1 + 111 T + 10960 T^{2} + 761349 T^{3} + 47045881 T^{4} )^{2} \))(\( ( 1 - 111 T + 10960 T^{2} - 761349 T^{3} + 47045881 T^{4} )^{2} \))(\( ( 1 + 4356 T^{2} + 98743142 T^{4} + 204931857636 T^{6} + 2213314919066161 T^{8} )^{2} \))(\( ( 1 - 21878 T^{2} + 133440805 T^{4} + 679703392870 T^{6} - 12186957975546872 T^{8} + 31977244936258268470 T^{10} + \)\(29\!\cdots\!05\)\( T^{12} - \)\(22\!\cdots\!98\)\( T^{14} + \)\(48\!\cdots\!21\)\( T^{16} )^{2} \))(\( 1 - 6859 T^{2} + 47045881 T^{4} \))(\( 1 - 124 T + 8517 T^{2} - 850516 T^{3} + 47045881 T^{4} \))(\( 1 + 16 T - 6603 T^{2} + 109744 T^{3} + 47045881 T^{4} \))(\( 1 + 124 T + 8517 T^{2} + 850516 T^{3} + 47045881 T^{4} \))(\( 1 + 110 T + 5241 T^{2} + 754490 T^{3} + 47045881 T^{4} \))(\( 1 - 12 T - 6715 T^{2} - 82308 T^{3} + 47045881 T^{4} \))(\( 1 + 12 T - 6715 T^{2} + 82308 T^{3} + 47045881 T^{4} \))(\( 1 - 110 T + 5241 T^{2} - 754490 T^{3} + 47045881 T^{4} \))(\( ( 1 - 107 T + 6859 T^{2} )( 1 + 163 T + 6859 T^{2} ) \))(\( ( 1 - 163 T + 6859 T^{2} )( 1 + 107 T + 6859 T^{2} ) \))(\( 1 - 49 T - 4458 T^{2} - 336091 T^{3} + 47045881 T^{4} \))(\( 1 + 72 T - 1675 T^{2} + 493848 T^{3} + 47045881 T^{4} \))(\( 1 + 100 T + 3141 T^{2} + 685900 T^{3} + 47045881 T^{4} \))(\( 1 - 100 T + 3141 T^{2} - 685900 T^{3} + 47045881 T^{4} \))(\( 1 - 72 T - 1675 T^{2} - 493848 T^{3} + 47045881 T^{4} \))(\( 1 - 64 T - 2438 T^{2} + 459776 T^{3} - 32447189 T^{4} + 3153603584 T^{5} - 114697857878 T^{6} - 20652012657856 T^{7} + 2213314919066161 T^{8} \))(\( 1 + 64 T - 2438 T^{2} - 459776 T^{3} - 32447189 T^{4} - 3153603584 T^{5} - 114697857878 T^{6} + 20652012657856 T^{7} + 2213314919066161 T^{8} \))(\( ( 1 - 20 T - 6459 T^{2} - 137180 T^{3} + 47045881 T^{4} )^{2} \))(\( ( 1 + 20 T - 6459 T^{2} + 137180 T^{3} + 47045881 T^{4} )^{2} \))(\( ( 1 - 6859 T^{2} + 47045881 T^{4} )^{2} \))(\( 1 - 192 T + 14898 T^{2} - 1583616 T^{3} + 182609099 T^{4} - 10862022144 T^{5} + 700889535138 T^{6} - 61956037973568 T^{7} + 2213314919066161 T^{8} \))(\( 1 + 192 T + 14898 T^{2} + 1583616 T^{3} + 182609099 T^{4} + 10862022144 T^{5} + 700889535138 T^{6} + 61956037973568 T^{7} + 2213314919066161 T^{8} \))(\( 1 + 202 T + 7946 T^{2} + 627636 T^{3} + 247297462 T^{4} + 17185599794 T^{5} + 349471935958 T^{6} + 117876028987046 T^{7} + 11634326968854022 T^{8} + 202530415883220444 T^{9} + 17587000346899715306 T^{10} + \)\(30\!\cdots\!98\)\( T^{11} + \)\(10\!\cdots\!41\)\( T^{12} \))(\( ( 1 - 111 T + 1361 T^{2} + 306138 T^{3} - 11434020 T^{4} + 2099800542 T^{5} + 64029444041 T^{6} - 35818334453469 T^{7} + 2213314919066161 T^{8} )^{2} \))(\( 1 - 12690 T^{2} + 28454938 T^{4} - 488430486000 T^{6} + 7788364400899983 T^{8} - 22978642521128166000 T^{10} + \)\(62\!\cdots\!18\)\( T^{12} - \)\(13\!\cdots\!90\)\( T^{14} + \)\(48\!\cdots\!21\)\( T^{16} \))(\( ( 1 - 4356 T^{2} - 79768406 T^{4} - 20261411280 T^{6} + 6644210001103587 T^{8} - 953215943970937680 T^{10} - \)\(17\!\cdots\!66\)\( T^{12} - \)\(45\!\cdots\!96\)\( T^{14} + \)\(48\!\cdots\!21\)\( T^{16} )^{2} \))(\( ( 1 + 5726 T^{2} - 14258805 T^{4} + 269384714606 T^{6} + 2213314919066161 T^{8} )^{2} \))(\( ( 1 + 6859 T^{2} + 47045881 T^{4} )^{4} \))(\( ( 1 - 306 T + 57757 T^{2} - 8122770 T^{3} + 990235135 T^{4} - 107235980892 T^{5} + 10750308055972 T^{6} - 990048157019604 T^{7} + 85251569497003126 T^{8} - 6790740308997463836 T^{9} + \)\(50\!\cdots\!32\)\( T^{10} - \)\(34\!\cdots\!68\)\( T^{11} + \)\(21\!\cdots\!35\)\( T^{12} - \)\(12\!\cdots\!30\)\( T^{13} + \)\(60\!\cdots\!37\)\( T^{14} - \)\(21\!\cdots\!14\)\( T^{15} + \)\(48\!\cdots\!21\)\( T^{16} )^{2} \))
$23$ (\( 1 + 14 T + 12167 T^{2} \))(\( 1 - 42 T + 12167 T^{2} \))(\( 1 + 14 T + 12167 T^{2} \))(\( 1 - 159 T + 12167 T^{2} \))(\( 1 - 159 T + 12167 T^{2} \))(\( 1 + 12167 T^{2} \))(\( 1 - 176 T + 12167 T^{2} \))(\( 1 - 176 T + 12167 T^{2} \))(\( 1 + 48 T + 12167 T^{2} \))(\( 1 + 12167 T^{2} \))(\( 1 - 84 T + 12167 T^{2} \))(\( 1 - 84 T + 12167 T^{2} \))(\( 1 - 40 T + 12167 T^{2} \))(\( 1 + 28 T + 22962 T^{2} + 340676 T^{3} + 148035889 T^{4} \))(\( 1 + 28 T + 22962 T^{2} + 340676 T^{3} + 148035889 T^{4} \))(\( 1 - 22734 T^{2} + 148035889 T^{4} \))(\( 1 + 7234 T^{2} + 148035889 T^{4} \))(\( 1 + 6 T + 7870 T^{2} + 73002 T^{3} + 148035889 T^{4} \))(\( 1 + 216 T + 35829 T^{2} + 3675600 T^{3} + 435931443 T^{4} + 31975752024 T^{5} + 1801152661463 T^{6} \))(\( 1 + 216 T + 35829 T^{2} + 3675600 T^{3} + 435931443 T^{4} + 31975752024 T^{5} + 1801152661463 T^{6} \))(\( ( 1 + 176 T + 31038 T^{2} + 2141392 T^{3} + 148035889 T^{4} )^{2} \))(\( 1 + 8216 T^{2} - 51412626 T^{4} + 1216262864024 T^{6} + 21914624432020321 T^{8} \))(\( 1 + 8216 T^{2} - 51412626 T^{4} + 1216262864024 T^{6} + 21914624432020321 T^{8} \))(\( ( 1 + 42656 T^{2} + 750952798 T^{4} + 6314618881184 T^{6} + 21914624432020321 T^{8} )^{2} \))(\( ( 1 - 54964 T^{2} + 1694889592 T^{4} - 33871122898172 T^{6} + 486652410292642670 T^{8} - \)\(50\!\cdots\!08\)\( T^{10} + \)\(37\!\cdots\!32\)\( T^{12} - \)\(17\!\cdots\!16\)\( T^{14} + \)\(48\!\cdots\!41\)\( T^{16} )^{2} \))(\( 1 + 40 T - 10567 T^{2} + 486680 T^{3} + 148035889 T^{4} \))(\( 1 - 12167 T^{2} + 148035889 T^{4} \))(\( 1 + 84 T - 5111 T^{2} + 1022028 T^{3} + 148035889 T^{4} \))(\( 1 - 12167 T^{2} + 148035889 T^{4} \))(\( 1 - 48 T - 9863 T^{2} - 584016 T^{3} + 148035889 T^{4} \))(\( 1 + 176 T + 18809 T^{2} + 2141392 T^{3} + 148035889 T^{4} \))(\( 1 + 176 T + 18809 T^{2} + 2141392 T^{3} + 148035889 T^{4} \))(\( 1 - 48 T - 9863 T^{2} - 584016 T^{3} + 148035889 T^{4} \))(\( 1 - 12167 T^{2} + 148035889 T^{4} \))(\( 1 - 12167 T^{2} + 148035889 T^{4} \))(\( 1 + 159 T + 13114 T^{2} + 1934553 T^{3} + 148035889 T^{4} \))(\( 1 - 14 T - 11971 T^{2} - 170338 T^{3} + 148035889 T^{4} \))(\( 1 + 42 T - 10403 T^{2} + 511014 T^{3} + 148035889 T^{4} \))(\( 1 + 42 T - 10403 T^{2} + 511014 T^{3} + 148035889 T^{4} \))(\( 1 - 14 T - 11971 T^{2} - 170338 T^{3} + 148035889 T^{4} \))(\( 1 - 6 T - 7834 T^{2} + 98784 T^{3} - 86537001 T^{4} + 1201904928 T^{5} - 1159713154426 T^{6} - 10806915968778 T^{7} + 21914624432020321 T^{8} \))(\( 1 - 6 T - 7834 T^{2} + 98784 T^{3} - 86537001 T^{4} + 1201904928 T^{5} - 1159713154426 T^{6} - 10806915968778 T^{7} + 21914624432020321 T^{8} \))(\( 1 - 7234 T^{2} - 95705133 T^{4} - 1070891621026 T^{6} + 21914624432020321 T^{8} \))(\( 1 - 7234 T^{2} - 95705133 T^{4} - 1070891621026 T^{6} + 21914624432020321 T^{8} \))(\( 1 + 22734 T^{2} + 368798867 T^{4} + 3365447900526 T^{6} + 21914624432020321 T^{8} \))(\( 1 - 28 T - 22178 T^{2} + 38416 T^{3} + 369678627 T^{4} + 467407472 T^{5} - 3283139946242 T^{6} - 50432274520964 T^{7} + 21914624432020321 T^{8} \))(\( 1 - 28 T - 22178 T^{2} + 38416 T^{3} + 369678627 T^{4} + 467407472 T^{5} - 3283139946242 T^{6} - 50432274520964 T^{7} + 21914624432020321 T^{8} \))(\( 1 - 216 T + 10827 T^{2} - 387864 T^{3} + 53856198 T^{4} + 24653558952 T^{5} - 5413409425505 T^{6} + 299959851768984 T^{7} + 7972650149090022 T^{8} - 698602275885685032 T^{9} + \)\(23\!\cdots\!67\)\( T^{10} - \)\(57\!\cdots\!12\)\( T^{11} + \)\(32\!\cdots\!69\)\( T^{12} \))(\( 1 - 8216 T^{2} + 118915282 T^{4} + 2854931863264 T^{6} - 29264182010625629 T^{8} + \)\(42\!\cdots\!96\)\( T^{10} + \)\(26\!\cdots\!22\)\( T^{12} - \)\(26\!\cdots\!04\)\( T^{14} + \)\(48\!\cdots\!41\)\( T^{16} \))(\( ( 1 - 176 T - 62 T^{2} - 1179904 T^{3} + 438436563 T^{4} - 14355891968 T^{5} - 9178225118 T^{6} - 317002868417488 T^{7} + 21914624432020321 T^{8} )^{2} \))(\( ( 1 - 42656 T^{2} + 1068581538 T^{4} - 19403404789120 T^{6} + 272659097396223779 T^{8} - \)\(28\!\cdots\!80\)\( T^{10} + \)\(23\!\cdots\!98\)\( T^{12} - \)\(13\!\cdots\!64\)\( T^{14} + \)\(48\!\cdots\!41\)\( T^{16} )^{2} \))(\( ( 1 + 18284 T^{2} + 186268767 T^{4} + 2706688194476 T^{6} + 21914624432020321 T^{8} )^{2} \))(\( 1 - 220762978 T^{4} + 26821668023408163 T^{8} - \)\(48\!\cdots\!38\)\( T^{12} + \)\(48\!\cdots\!41\)\( T^{16} \))(\( 1 + 54964 T^{2} + 1326151704 T^{4} + 25415665738344 T^{6} + 524305919802157986 T^{8} + \)\(89\!\cdots\!72\)\( T^{10} + \)\(12\!\cdots\!96\)\( T^{12} + \)\(17\!\cdots\!32\)\( T^{14} + \)\(23\!\cdots\!87\)\( T^{16} + \)\(25\!\cdots\!48\)\( T^{18} + \)\(26\!\cdots\!16\)\( T^{20} + \)\(28\!\cdots\!68\)\( T^{22} + \)\(25\!\cdots\!26\)\( T^{24} + \)\(18\!\cdots\!56\)\( T^{26} + \)\(13\!\cdots\!44\)\( T^{28} + \)\(85\!\cdots\!56\)\( T^{30} + \)\(23\!\cdots\!81\)\( T^{32} \))
$29$ (\( 1 + 158 T + 24389 T^{2} \))(\( 1 - 10 T + 24389 T^{2} \))(\( 1 + 158 T + 24389 T^{2} \))(\( 1 + 58 T + 24389 T^{2} \))(\( 1 + 58 T + 24389 T^{2} \))(\( 1 + 24389 T^{2} \))(\( 1 + 58 T + 24389 T^{2} \))(\( 1 + 58 T + 24389 T^{2} \))(\( 1 - 110 T + 24389 T^{2} \))(\( 1 + 102 T + 24389 T^{2} \))(\( 1 - 297 T + 24389 T^{2} \))(\( 1 - 297 T + 24389 T^{2} \))(\( 1 - 166 T + 24389 T^{2} \))(\( 1 + 296 T + 62994 T^{2} + 7219144 T^{3} + 594823321 T^{4} \))(\( 1 + 296 T + 62994 T^{2} + 7219144 T^{3} + 594823321 T^{4} \))(\( 1 - 21222 T^{2} + 594823321 T^{4} \))(\( 1 - 10806 T^{2} + 594823321 T^{4} \))(\( 1 - 252 T + 56446 T^{2} - 6146028 T^{3} + 594823321 T^{4} \))(\( 1 + 53 T + 52695 T^{2} + 3410210 T^{3} + 1285178355 T^{4} + 31525636013 T^{5} + 14507145975869 T^{6} \))(\( 1 + 53 T + 52695 T^{2} + 3410210 T^{3} + 1285178355 T^{4} + 31525636013 T^{5} + 14507145975869 T^{6} \))(\( ( 1 + 130 T + 49818 T^{2} + 3170570 T^{3} + 594823321 T^{4} )^{2} \))(\( 1 + 59371 T^{2} + 1802370044 T^{4} + 35315255391091 T^{6} + 353814783205469041 T^{8} \))(\( 1 + 59371 T^{2} + 1802370044 T^{4} + 35315255391091 T^{6} + 353814783205469041 T^{8} \))(\( ( 1 + 44468 T^{2} + 996014662 T^{4} + 26450603438228 T^{6} + 353814783205469041 T^{8} )^{2} \))(\( ( 1 - 102034 T^{2} + 6213617737 T^{4} - 245008733294114 T^{6} + 7064972052959541764 T^{8} - \)\(14\!\cdots\!94\)\( T^{10} + \)\(21\!\cdots\!17\)\( T^{12} - \)\(21\!\cdots\!74\)\( T^{14} + \)\(12\!\cdots\!81\)\( T^{16} )^{2} \))(\( ( 1 - 166 T + 24389 T^{2} )^{2} \))(\( ( 1 + 102 T + 24389 T^{2} )^{2} \))(\( ( 1 - 297 T + 24389 T^{2} )^{2} \))(\( ( 1 + 102 T + 24389 T^{2} )^{2} \))(\( ( 1 - 110 T + 24389 T^{2} )^{2} \))(\( ( 1 + 58 T + 24389 T^{2} )^{2} \))(\( ( 1 + 58 T + 24389 T^{2} )^{2} \))(\( ( 1 - 110 T + 24389 T^{2} )^{2} \))(\( ( 1 + 24389 T^{2} )^{2} \))(\( ( 1 + 24389 T^{2} )^{2} \))(\( ( 1 + 58 T + 24389 T^{2} )^{2} \))(\( ( 1 + 158 T + 24389 T^{2} )^{2} \))(\( ( 1 - 10 T + 24389 T^{2} )^{2} \))(\( ( 1 - 10 T + 24389 T^{2} )^{2} \))(\( ( 1 + 158 T + 24389 T^{2} )^{2} \))(\( ( 1 - 252 T + 56446 T^{2} - 6146028 T^{3} + 594823321 T^{4} )^{2} \))(\( ( 1 - 252 T + 56446 T^{2} - 6146028 T^{3} + 594823321 T^{4} )^{2} \))(\( ( 1 - 10806 T^{2} + 594823321 T^{4} )^{2} \))(\( ( 1 - 10806 T^{2} + 594823321 T^{4} )^{2} \))(\( ( 1 - 21222 T^{2} + 594823321 T^{4} )^{2} \))(\( ( 1 + 296 T + 62994 T^{2} + 7219144 T^{3} + 594823321 T^{4} )^{2} \))(\( ( 1 + 296 T + 62994 T^{2} + 7219144 T^{3} + 594823321 T^{4} )^{2} \))(\( ( 1 + 53 T + 52695 T^{2} + 3410210 T^{3} + 1285178355 T^{4} + 31525636013 T^{5} + 14507145975869 T^{6} )^{2} \))(\( ( 1 + 59371 T^{2} + 1802370044 T^{4} + 35315255391091 T^{6} + 353814783205469041 T^{8} )^{2} \))(\( ( 1 + 130 T + 49818 T^{2} + 3170570 T^{3} + 594823321 T^{4} )^{4} \))(\( ( 1 + 44468 T^{2} + 996014662 T^{4} + 26450603438228 T^{6} + 353814783205469041 T^{8} )^{4} \))(\( ( 1 - 32936 T^{2} + 594823321 T^{4} )^{4} \))(\( ( 1 - 739273358 T^{4} + 353814783205469041 T^{8} )^{2} \))(\( ( 1 - 102034 T^{2} + 6213617737 T^{4} - 245008733294114 T^{6} + 7064972052959541764 T^{8} - \)\(14\!\cdots\!94\)\( T^{10} + \)\(21\!\cdots\!17\)\( T^{12} - \)\(21\!\cdots\!74\)\( T^{14} + \)\(12\!\cdots\!81\)\( T^{16} )^{2} \))
$31$ (\( 1 + 36 T + 29791 T^{2} \))(\( 1 - 48 T + 29791 T^{2} \))(\( 1 - 36 T + 29791 T^{2} \))(\( 1 - 147 T + 29791 T^{2} \))(\( 1 + 147 T + 29791 T^{2} \))(\( 1 + 308 T + 29791 T^{2} \))(\( 1 + 264 T + 29791 T^{2} \))(\( 1 - 264 T + 29791 T^{2} \))(\( 1 + 12 T + 29791 T^{2} \))(\( 1 - 160 T + 29791 T^{2} \))(\( 1 - 253 T + 29791 T^{2} \))(\( 1 + 253 T + 29791 T^{2} \))(\( 1 + 29791 T^{2} \))(\( 1 + 104 T + 57286 T^{2} + 3098264 T^{3} + 887503681 T^{4} \))(\( 1 - 104 T + 57286 T^{2} - 3098264 T^{3} + 887503681 T^{4} \))(\( ( 1 + 29791 T^{2} )^{2} \))(\( ( 1 + 156 T + 29791 T^{2} )^{2} \))(\( 1 + 40 T - 13890 T^{2} + 1191640 T^{3} + 887503681 T^{4} \))(\( 1 + 95 T + 79372 T^{2} + 5648467 T^{3} + 2364571252 T^{4} + 84312849695 T^{5} + 26439622160671 T^{6} \))(\( 1 - 95 T + 79372 T^{2} - 5648467 T^{3} + 2364571252 T^{4} - 84312849695 T^{5} + 26439622160671 T^{6} \))(\( 1 + 19060 T^{2} - 9966698 T^{4} + 16915820159860 T^{6} + 787662783788549761 T^{8} \))(\( ( 1 + 110 T + 43307 T^{2} + 3277010 T^{3} + 887503681 T^{4} )^{2} \))(\( ( 1 - 110 T + 43307 T^{2} - 3277010 T^{3} + 887503681 T^{4} )^{2} \))(\( ( 1 + 99700 T^{2} + 4216698262 T^{4} + 88484116995700 T^{6} + 787662783788549761 T^{8} )^{2} \))(\( ( 1 - 168680 T^{2} + 13661746066 T^{4} - 694976571278624 T^{6} + 24523304532231348355 T^{8} - \)\(61\!\cdots\!44\)\( T^{10} + \)\(10\!\cdots\!26\)\( T^{12} - \)\(11\!\cdots\!80\)\( T^{14} + \)\(62\!\cdots\!21\)\( T^{16} )^{2} \))(\( 1 - 29791 T^{2} + 887503681 T^{4} \))(\( 1 - 160 T - 4191 T^{2} - 4766560 T^{3} + 887503681 T^{4} \))(\( 1 + 253 T + 34218 T^{2} + 7537123 T^{3} + 887503681 T^{4} \))(\( 1 + 160 T - 4191 T^{2} + 4766560 T^{3} + 887503681 T^{4} \))(\( 1 - 12 T - 29647 T^{2} - 357492 T^{3} + 887503681 T^{4} \))(\( 1 + 264 T + 39905 T^{2} + 7864824 T^{3} + 887503681 T^{4} \))(\( 1 - 264 T + 39905 T^{2} - 7864824 T^{3} + 887503681 T^{4} \))(\( 1 + 12 T - 29647 T^{2} + 357492 T^{3} + 887503681 T^{4} \))(\( ( 1 + 19 T + 29791 T^{2} )( 1 + 289 T + 29791 T^{2} ) \))(\( ( 1 - 289 T + 29791 T^{2} )( 1 - 19 T + 29791 T^{2} ) \))(\( 1 - 147 T - 8182 T^{2} - 4379277 T^{3} + 887503681 T^{4} \))(\( 1 + 36 T - 28495 T^{2} + 1072476 T^{3} + 887503681 T^{4} \))(\( 1 - 48 T - 27487 T^{2} - 1429968 T^{3} + 887503681 T^{4} \))(\( 1 + 48 T - 27487 T^{2} + 1429968 T^{3} + 887503681 T^{4} \))(\( 1 - 36 T - 28495 T^{2} - 1072476 T^{3} + 887503681 T^{4} \))(\( 1 - 40 T + 15490 T^{2} + 2938880 T^{3} - 742237181 T^{4} + 87552174080 T^{5} + 13747432018690 T^{6} - 1057584886426840 T^{7} + 787662783788549761 T^{8} \))(\( 1 + 40 T + 15490 T^{2} - 2938880 T^{3} - 742237181 T^{4} - 87552174080 T^{5} + 13747432018690 T^{6} + 1057584886426840 T^{7} + 787662783788549761 T^{8} \))(\( ( 1 + 156 T - 5455 T^{2} + 4647396 T^{3} + 887503681 T^{4} )^{2} \))(\( ( 1 - 156 T - 5455 T^{2} - 4647396 T^{3} + 887503681 T^{4} )^{2} \))(\( ( 1 - 29791 T^{2} + 887503681 T^{4} )^{2} \))(\( 1 + 104 T - 46470 T^{2} - 238784 T^{3} + 2071962659 T^{4} - 7113614144 T^{5} - 41242296056070 T^{6} + 2749720704709784 T^{7} + 787662783788549761 T^{8} \))(\( 1 - 104 T - 46470 T^{2} + 238784 T^{3} + 2071962659 T^{4} + 7113614144 T^{5} - 41242296056070 T^{6} - 2749720704709784 T^{7} + 787662783788549761 T^{8} \))(\( 1 + 95 T - 70347 T^{2} - 3756594 T^{3} + 3398738767 T^{4} + 83374434539 T^{5} - 110906046363338 T^{6} + 2483807779351349 T^{7} + 3016393166469901327 T^{8} - 99322925971043714574 T^{9} - \)\(55\!\cdots\!67\)\( T^{10} + \)\(22\!\cdots\!45\)\( T^{11} + \)\(69\!\cdots\!41\)\( T^{12} \))(\( ( 1 - 110 T - 31207 T^{2} + 1790250 T^{3} + 627521468 T^{4} + 53333337750 T^{5} - 27696327372967 T^{6} - 2908358437673810 T^{7} + 787662783788549761 T^{8} )^{2} \))(\( 1 - 19060 T^{2} + 373250298 T^{4} + 34021605583600 T^{6} - 1109978980966458157 T^{8} + \)\(30\!\cdots\!00\)\( T^{10} + \)\(29\!\cdots\!78\)\( T^{12} - \)\(13\!\cdots\!60\)\( T^{14} + \)\(62\!\cdots\!21\)\( T^{16} \))(\( ( 1 - 99700 T^{2} + 5723391738 T^{4} - 243436582730000 T^{6} + 8171014984493980883 T^{8} - \)\(21\!\cdots\!00\)\( T^{10} + \)\(45\!\cdots\!18\)\( T^{12} - \)\(69\!\cdots\!00\)\( T^{14} + \)\(62\!\cdots\!21\)\( T^{16} )^{2} \))(\( ( 1 + 2750 T^{2} - 879941181 T^{4} + 2440635122750 T^{6} + 787662783788549761 T^{8} )^{2} \))(\( ( 1 + 29791 T^{2} + 887503681 T^{4} )^{4} \))(\( ( 1 + 564 T + 243388 T^{2} + 77468784 T^{3} + 21469133071 T^{4} + 5073861272220 T^{5} + 1094289736794676 T^{6} + 211880592093523344 T^{7} + 38213365513366414528 T^{8} + \)\(63\!\cdots\!04\)\( T^{9} + \)\(97\!\cdots\!56\)\( T^{10} + \)\(13\!\cdots\!20\)\( T^{11} + \)\(16\!\cdots\!31\)\( T^{12} + \)\(18\!\cdots\!84\)\( T^{13} + \)\(17\!\cdots\!08\)\( T^{14} + \)\(11\!\cdots\!84\)\( T^{15} + \)\(62\!\cdots\!21\)\( T^{16} )^{2} \))
$37$ (\( 1 + 162 T + 50653 T^{2} \))(\( 1 + 246 T + 50653 T^{2} \))(\( 1 + 162 T + 50653 T^{2} \))(\( 1 - 219 T + 50653 T^{2} \))(\( 1 - 219 T + 50653 T^{2} \))(\( 1 - 110 T + 50653 T^{2} \))(\( 1 - 258 T + 50653 T^{2} \))(\( 1 - 258 T + 50653 T^{2} \))(\( 1 + 246 T + 50653 T^{2} \))(\( 1 - 398 T + 50653 T^{2} \))(\( 1 + 316 T + 50653 T^{2} \))(\( 1 + 316 T + 50653 T^{2} \))(\( 1 - 450 T + 50653 T^{2} \))(\( 1 + 248 T + 112074 T^{2} + 12561944 T^{3} + 2565726409 T^{4} \))(\( 1 + 248 T + 112074 T^{2} + 12561944 T^{3} + 2565726409 T^{4} \))(\( ( 1 + 450 T + 50653 T^{2} )^{2} \))(\( ( 1 - 186 T + 50653 T^{2} )^{2} \))(\( 1 + 248 T + 98214 T^{2} + 12561944 T^{3} + 2565726409 T^{4} \))(\( 1 - 262 T + 166048 T^{2} - 26591324 T^{3} + 8410829344 T^{4} - 672220319158 T^{5} + 129961739795077 T^{6} \))(\( 1 - 262 T + 166048 T^{2} - 26591324 T^{3} + 8410829344 T^{4} - 672220319158 T^{5} + 129961739795077 T^{6} \))(\( ( 1 - 106 T + 103530 T^{2} - 5369218 T^{3} + 2565726409 T^{4} )^{2} \))(\( ( 1 + 187 T + 79892 T^{2} + 9472111 T^{3} + 2565726409 T^{4} )^{2} \))(\( ( 1 + 187 T + 79892 T^{2} + 9472111 T^{3} + 2565726409 T^{4} )^{2} \))(\( ( 1 - 16 T + 9066 T^{2} - 810448 T^{3} + 2565726409 T^{4} )^{4} \))(\( ( 1 - 598 T + 310003 T^{2} - 98555606 T^{3} + 26465731082 T^{4} - 4992137110718 T^{5} + 795382883969227 T^{6} - 77717120397456046 T^{7} + 6582952005840035281 T^{8} )^{4} \))(\( 1 + 450 T + 151847 T^{2} + 22793850 T^{3} + 2565726409 T^{4} \))(\( 1 + 398 T + 107751 T^{2} + 20159894 T^{3} + 2565726409 T^{4} \))(\( 1 - 316 T + 49203 T^{2} - 16006348 T^{3} + 2565726409 T^{4} \))(\( 1 + 398 T + 107751 T^{2} + 20159894 T^{3} + 2565726409 T^{4} \))(\( 1 - 246 T + 9863 T^{2} - 12460638 T^{3} + 2565726409 T^{4} \))(\( 1 + 258 T + 15911 T^{2} + 13068474 T^{3} + 2565726409 T^{4} \))(\( 1 + 258 T + 15911 T^{2} + 13068474 T^{3} + 2565726409 T^{4} \))(\( 1 - 246 T + 9863 T^{2} - 12460638 T^{3} + 2565726409 T^{4} \))(\( ( 1 - 323 T + 50653 T^{2} )( 1 + 433 T + 50653 T^{2} ) \))(\( ( 1 - 323 T + 50653 T^{2} )( 1 + 433 T + 50653 T^{2} ) \))(\( 1 + 219 T - 2692 T^{2} + 11093007 T^{3} + 2565726409 T^{4} \))(\( 1 - 162 T - 24409 T^{2} - 8205786 T^{3} + 2565726409 T^{4} \))(\( 1 - 246 T + 9863 T^{2} - 12460638 T^{3} + 2565726409 T^{4} \))(\( 1 - 246 T + 9863 T^{2} - 12460638 T^{3} + 2565726409 T^{4} \))(\( 1 - 162 T - 24409 T^{2} - 8205786 T^{3} + 2565726409 T^{4} \))(\( 1 - 248 T - 36710 T^{2} + 766816 T^{3} + 3964901275 T^{4} + 38841530848 T^{5} - 94187816474390 T^{6} - 32230511469179096 T^{7} + 6582952005840035281 T^{8} \))(\( 1 - 248 T - 36710 T^{2} + 766816 T^{3} + 3964901275 T^{4} + 38841530848 T^{5} - 94187816474390 T^{6} - 32230511469179096 T^{7} + 6582952005840035281 T^{8} \))(\( ( 1 + 186 T - 16057 T^{2} + 9421458 T^{3} + 2565726409 T^{4} )^{2} \))(\( ( 1 + 186 T - 16057 T^{2} + 9421458 T^{3} + 2565726409 T^{4} )^{2} \))(\( ( 1 - 450 T + 151847 T^{2} - 22793850 T^{3} + 2565726409 T^{4} )^{2} \))(\( 1 - 248 T - 50570 T^{2} - 2670464 T^{3} + 6879492955 T^{4} - 135267012992 T^{5} - 129748784503130 T^{6} - 32230511469179096 T^{7} + 6582952005840035281 T^{8} \))(\( 1 - 248 T - 50570 T^{2} - 2670464 T^{3} + 6879492955 T^{4} - 135267012992 T^{5} - 129748784503130 T^{6} - 32230511469179096 T^{7} + 6582952005840035281 T^{8} \))(\( 1 + 262 T - 97404 T^{2} - 9678072 T^{3} + 12194182072 T^{4} + 680381910454 T^{5} - 605701122868778 T^{6} + 34463384910226462 T^{7} + 31286934978284739448 T^{8} - \)\(12\!\cdots\!44\)\( T^{9} - \)\(64\!\cdots\!24\)\( T^{10} + \)\(87\!\cdots\!66\)\( T^{11} + \)\(16\!\cdots\!29\)\( T^{12} \))(\( ( 1 - 187 T - 44923 T^{2} + 4004418 T^{3} + 2045720498 T^{4} + 202835784954 T^{5} - 115260127471507 T^{6} - 24302845341679399 T^{7} + 6582952005840035281 T^{8} )^{2} \))(\( ( 1 + 106 T - 92294 T^{2} + 235744 T^{3} + 7583597383 T^{4} + 11941140832 T^{5} - 236801153192246 T^{6} + 13775944418278162 T^{7} + 6582952005840035281 T^{8} )^{2} \))(\( ( 1 + 16 T - 8810 T^{2} - 1475840 T^{3} - 2496501221 T^{4} - 74755723520 T^{5} - 22604049663290 T^{6} + 2079387836721232 T^{7} + 6582952005840035281 T^{8} )^{4} \))(\( ( 1 - 184 T - 16797 T^{2} - 9320152 T^{3} + 2565726409 T^{4} )^{4} \))(\( ( 1 - 101194 T^{2} + 7674499227 T^{4} - 259636118232346 T^{6} + 6582952005840035281 T^{8} )^{2} \))(\( ( 1 + 598 T + 47601 T^{2} - 11729418 T^{3} + 10699876539 T^{4} + 3891656263464 T^{5} + 114219217143080 T^{6} + 66547288562775176 T^{7} + 48227467333244423670 T^{8} + \)\(33\!\cdots\!28\)\( T^{9} + \)\(29\!\cdots\!20\)\( T^{10} + \)\(50\!\cdots\!28\)\( T^{11} + \)\(70\!\cdots\!59\)\( T^{12} - \)\(39\!\cdots\!74\)\( T^{13} + \)\(80\!\cdots\!29\)\( T^{14} + \)\(51\!\cdots\!26\)\( T^{15} + \)\(43\!\cdots\!61\)\( T^{16} )^{2} \))
$41$ (\( 1 - 270 T + 68921 T^{2} \))(\( 1 + 248 T + 68921 T^{2} \))(\( 1 + 270 T + 68921 T^{2} \))(\( 1 + 350 T + 68921 T^{2} \))(\( 1 - 350 T + 68921 T^{2} \))(\( 1 + 68921 T^{2} \))(\( 1 + 68921 T^{2} \))(\( 1 + 68921 T^{2} \))(\( 1 - 182 T + 68921 T^{2} \))(\( 1 + 318 T + 68921 T^{2} \))(\( 1 - 360 T + 68921 T^{2} \))(\( 1 + 360 T + 68921 T^{2} \))(\( 1 + 68921 T^{2} \))(\( 1 + 20 T + 42020 T^{2} + 1378420 T^{3} + 4750104241 T^{4} \))(\( 1 - 20 T + 42020 T^{2} - 1378420 T^{3} + 4750104241 T^{4} \))(\( ( 1 + 68921 T^{2} )^{2} \))(\( 1 + 110406 T^{2} + 4750104241 T^{4} \))(\( 1 + 450 T + 175642 T^{2} + 31014450 T^{3} + 4750104241 T^{4} \))(\( 1 + 244 T + 187983 T^{2} + 33933832 T^{3} + 12955976343 T^{4} + 1159025434804 T^{5} + 327381934393961 T^{6} \))(\( 1 - 244 T + 187983 T^{2} - 33933832 T^{3} + 12955976343 T^{4} - 1159025434804 T^{5} + 327381934393961 T^{6} \))(\( 1 + 208848 T^{2} + 19595539298 T^{4} + 992049770524368 T^{6} + 22563490300366186081 T^{8} \))(\( 1 + 85540 T^{2} + 8435951270 T^{4} + 406323916775140 T^{6} + 22563490300366186081 T^{8} \))(\( 1 + 85540 T^{2} + 8435951270 T^{4} + 406323916775140 T^{6} + 22563490300366186081 T^{8} \))(\( ( 1 + 42420 T^{2} + 6386007458 T^{4} + 201499421903220 T^{6} + 22563490300366186081 T^{8} )^{2} \))(\( ( 1 + 148396 T^{2} + 19955386648 T^{4} + 1828971842691940 T^{6} + \)\(14\!\cdots\!50\)\( T^{8} + \)\(86\!\cdots\!40\)\( T^{10} + \)\(45\!\cdots\!88\)\( T^{12} + \)\(15\!\cdots\!16\)\( T^{14} + \)\(50\!\cdots\!61\)\( T^{16} )^{2} \))(\( ( 1 + 68921 T^{2} )^{2} \))(\( ( 1 - 318 T + 68921 T^{2} )^{2} \))(\( ( 1 - 360 T + 68921 T^{2} )^{2} \))(\( ( 1 + 318 T + 68921 T^{2} )^{2} \))(\( ( 1 - 182 T + 68921 T^{2} )^{2} \))(\( ( 1 + 68921 T^{2} )^{2} \))(\( ( 1 + 68921 T^{2} )^{2} \))(\( ( 1 + 182 T + 68921 T^{2} )^{2} \))(\( ( 1 + 68921 T^{2} )^{2} \))(\( ( 1 + 68921 T^{2} )^{2} \))(\( ( 1 - 350 T + 68921 T^{2} )^{2} \))(\( ( 1 + 270 T + 68921 T^{2} )^{2} \))(\( ( 1 - 248 T + 68921 T^{2} )^{2} \))(\( ( 1 + 248 T + 68921 T^{2} )^{2} \))(\( ( 1 - 270 T + 68921 T^{2} )^{2} \))(\( ( 1 + 450 T + 175642 T^{2} + 31014450 T^{3} + 4750104241 T^{4} )^{2} \))(\( ( 1 - 450 T + 175642 T^{2} - 31014450 T^{3} + 4750104241 T^{4} )^{2} \))(\( ( 1 + 110406 T^{2} + 4750104241 T^{4} )^{2} \))(\( ( 1 + 110406 T^{2} + 4750104241 T^{4} )^{2} \))(\( ( 1 + 68921 T^{2} )^{4} \))(\( ( 1 - 20 T + 42020 T^{2} - 1378420 T^{3} + 4750104241 T^{4} )^{2} \))(\( ( 1 + 20 T + 42020 T^{2} + 1378420 T^{3} + 4750104241 T^{4} )^{2} \))(\( ( 1 - 244 T + 187983 T^{2} - 33933832 T^{3} + 12955976343 T^{4} - 1159025434804 T^{5} + 327381934393961 T^{6} )^{2} \))(\( ( 1 + 85540 T^{2} + 8435951270 T^{4} + 406323916775140 T^{6} + 22563490300366186081 T^{8} )^{2} \))(\( ( 1 + 208848 T^{2} + 19595539298 T^{4} + 992049770524368 T^{6} + 22563490300366186081 T^{8} )^{2} \))(\( ( 1 + 42420 T^{2} + 6386007458 T^{4} + 201499421903220 T^{6} + 22563490300366186081 T^{8} )^{4} \))(\( ( 1 + 126742 T^{2} + 4750104241 T^{4} )^{4} \))(\( ( 1 + 68921 T^{2} )^{8} \))(\( ( 1 + 148396 T^{2} + 19955386648 T^{4} + 1828971842691940 T^{6} + \)\(14\!\cdots\!50\)\( T^{8} + \)\(86\!\cdots\!40\)\( T^{10} + \)\(45\!\cdots\!88\)\( T^{12} + \)\(15\!\cdots\!16\)\( T^{14} + \)\(50\!\cdots\!61\)\( T^{16} )^{2} \))
$43$ (\( 1 + 324 T + 79507 T^{2} \))(\( 1 - 68 T + 79507 T^{2} \))(\( 1 + 324 T + 79507 T^{2} \))(\( 1 + 124 T + 79507 T^{2} \))(\( 1 + 124 T + 79507 T^{2} \))(\( 1 + 520 T + 79507 T^{2} \))(\( 1 - 156 T + 79507 T^{2} \))(\( 1 - 156 T + 79507 T^{2} \))(\( 1 - 128 T + 79507 T^{2} \))(\( 1 + 268 T + 79507 T^{2} \))(\( 1 - 26 T + 79507 T^{2} \))(\( 1 - 26 T + 79507 T^{2} \))(\( 1 + 180 T + 79507 T^{2} \))(\( 1 + 720 T + 268614 T^{2} + 57245040 T^{3} + 6321363049 T^{4} \))(\( 1 + 720 T + 268614 T^{2} + 57245040 T^{3} + 6321363049 T^{4} \))(\( ( 1 - 180 T + 79507 T^{2} )^{2} \))(\( ( 1 - 164 T + 79507 T^{2} )^{2} \))(\( 1 - 376 T + 161526 T^{2} - 29894632 T^{3} + 6321363049 T^{4} \))(\( 1 - 360 T + 166158 T^{2} - 38975294 T^{3} + 13210724106 T^{4} - 2275690697640 T^{5} + 502592611936843 T^{6} \))(\( 1 - 360 T + 166158 T^{2} - 38975294 T^{3} + 13210724106 T^{4} - 2275690697640 T^{5} + 502592611936843 T^{6} \))(\( ( 1 - 270 T + 97614 T^{2} - 21466890 T^{3} + 6321363049 T^{4} )^{2} \))(\( ( 1 + 419 T + 167730 T^{2} + 33313433 T^{3} + 6321363049 T^{4} )^{2} \))(\( ( 1 + 419 T + 167730 T^{2} + 33313433 T^{3} + 6321363049 T^{4} )^{2} \))(\( ( 1 - 540 T + 167814 T^{2} - 42933780 T^{3} + 6321363049 T^{4} )^{4} \))(\( ( 1 - 82 T + 122239 T^{2} - 47448038 T^{3} + 6939760430 T^{4} - 3772451157266 T^{5} + 772717097746711 T^{6} - 41212594178821126 T^{7} + 39959630797262576401 T^{8} )^{4} \))(\( ( 1 + 180 T + 79507 T^{2} )^{2} \))(\( ( 1 + 268 T + 79507 T^{2} )^{2} \))(\( ( 1 - 26 T + 79507 T^{2} )^{2} \))(\( ( 1 + 268 T + 79507 T^{2} )^{2} \))(\( ( 1 - 128 T + 79507 T^{2} )^{2} \))(\( ( 1 - 156 T + 79507 T^{2} )^{2} \))(\( ( 1 - 156 T + 79507 T^{2} )^{2} \))(\( ( 1 - 128 T + 79507 T^{2} )^{2} \))(\( ( 1 + 520 T + 79507 T^{2} )^{2} \))(\( ( 1 + 520 T + 79507 T^{2} )^{2} \))(\( ( 1 + 124 T + 79507 T^{2} )^{2} \))(\( ( 1 + 324 T + 79507 T^{2} )^{2} \))(\( ( 1 - 68 T + 79507 T^{2} )^{2} \))(\( ( 1 - 68 T + 79507 T^{2} )^{2} \))(\( ( 1 + 324 T + 79507 T^{2} )^{2} \))(\( ( 1 - 376 T + 161526 T^{2} - 29894632 T^{3} + 6321363049 T^{4} )^{2} \))(\( ( 1 - 376 T + 161526 T^{2} - 29894632 T^{3} + 6321363049 T^{4} )^{2} \))(\( ( 1 - 164 T + 79507 T^{2} )^{4} \))(\( ( 1 - 164 T + 79507 T^{2} )^{4} \))(\( ( 1 - 180 T + 79507 T^{2} )^{4} \))(\( ( 1 + 720 T + 268614 T^{2} + 57245040 T^{3} + 6321363049 T^{4} )^{2} \))(\( ( 1 + 720 T + 268614 T^{2} + 57245040 T^{3} + 6321363049 T^{4} )^{2} \))(\( ( 1 - 360 T + 166158 T^{2} - 38975294 T^{3} + 13210724106 T^{4} - 2275690697640 T^{5} + 502592611936843 T^{6} )^{2} \))(\( ( 1 + 419 T + 167730 T^{2} + 33313433 T^{3} + 6321363049 T^{4} )^{4} \))(\( ( 1 - 270 T + 97614 T^{2} - 21466890 T^{3} + 6321363049 T^{4} )^{4} \))(\( ( 1 - 540 T + 167814 T^{2} - 42933780 T^{3} + 6321363049 T^{4} )^{8} \))(\( ( 1 + 190 T + 79507 T^{2} )^{8} \))(\( ( 1 - 126614 T^{2} + 6321363049 T^{4} )^{4} \))(\( ( 1 - 82 T + 122239 T^{2} - 47448038 T^{3} + 6939760430 T^{4} - 3772451157266 T^{5} + 772717097746711 T^{6} - 41212594178821126 T^{7} + 39959630797262576401 T^{8} )^{4} \))
$47$ (\( 1 - 72 T + 103823 T^{2} \))(\( 1 - 324 T + 103823 T^{2} \))(\( 1 + 72 T + 103823 T^{2} \))(\( 1 + 525 T + 103823 T^{2} \))(\( 1 - 525 T + 103823 T^{2} \))(\( 1 + 103823 T^{2} \))(\( 1 - 408 T + 103823 T^{2} \))(\( 1 + 408 T + 103823 T^{2} \))(\( 1 - 324 T + 103823 T^{2} \))(\( 1 - 240 T + 103823 T^{2} \))(\( 1 + 30 T + 103823 T^{2} \))(\( 1 - 30 T + 103823 T^{2} \))(\( 1 + 103823 T^{2} \))(\( 1 - 96 T + 84950 T^{2} - 9967008 T^{3} + 10779215329 T^{4} \))(\( 1 + 96 T + 84950 T^{2} + 9967008 T^{3} + 10779215329 T^{4} \))(\( ( 1 + 103823 T^{2} )^{2} \))(\( 1 - 13970 T^{2} + 10779215329 T^{4} \))(\( 1 + 12 T + 141790 T^{2} + 1245876 T^{3} + 10779215329 T^{4} \))(\( 1 - 210 T + 64953 T^{2} - 48724788 T^{3} + 6743615319 T^{4} - 2263635219090 T^{5} + 1119130473102767 T^{6} \))(\( 1 + 210 T + 64953 T^{2} + 48724788 T^{3} + 6743615319 T^{4} + 2263635219090 T^{5} + 1119130473102767 T^{6} \))(\( 1 + 228052 T^{2} + 34127693334 T^{4} + 2458221614209108 T^{6} + \)\(11\!\cdots\!41\)\( T^{8} \))(\( 1 + 279692 T^{2} + 41075202726 T^{4} + 3014860293798668 T^{6} + \)\(11\!\cdots\!41\)\( T^{8} \))(\( 1 + 279692 T^{2} + 41075202726 T^{4} + 3014860293798668 T^{6} + \)\(11\!\cdots\!41\)\( T^{8} \))(\( ( 1 + 80164 T^{2} + 14237262198 T^{4} + 864105017633956 T^{6} + \)\(11\!\cdots\!41\)\( T^{8} )^{2} \))(\( ( 1 + 358312 T^{2} + 37852166836 T^{4} - 1616224927676168 T^{6} - \)\(58\!\cdots\!34\)\( T^{8} - \)\(17\!\cdots\!72\)\( T^{10} + \)\(43\!\cdots\!76\)\( T^{12} + \)\(44\!\cdots\!68\)\( T^{14} + \)\(13\!\cdots\!81\)\( T^{16} )^{2} \))(\( 1 - 103823 T^{2} + 10779215329 T^{4} \))(\( 1 - 240 T - 46223 T^{2} - 24917520 T^{3} + 10779215329 T^{4} \))(\( 1 - 30 T - 102923 T^{2} - 3114690 T^{3} + 10779215329 T^{4} \))(\( 1 + 240 T - 46223 T^{2} + 24917520 T^{3} + 10779215329 T^{4} \))(\( 1 + 324 T + 1153 T^{2} + 33638652 T^{3} + 10779215329 T^{4} \))(\( 1 - 408 T + 62641 T^{2} - 42359784 T^{3} + 10779215329 T^{4} \))(\( 1 + 408 T + 62641 T^{2} + 42359784 T^{3} + 10779215329 T^{4} \))(\( 1 - 324 T + 1153 T^{2} - 33638652 T^{3} + 10779215329 T^{4} \))(\( 1 - 103823 T^{2} + 10779215329 T^{4} \))(\( 1 - 103823 T^{2} + 10779215329 T^{4} \))(\( 1 + 525 T + 171802 T^{2} + 54507075 T^{3} + 10779215329 T^{4} \))(\( 1 - 72 T - 98639 T^{2} - 7475256 T^{3} + 10779215329 T^{4} \))(\( 1 - 324 T + 1153 T^{2} - 33638652 T^{3} + 10779215329 T^{4} \))(\( 1 + 324 T + 1153 T^{2} + 33638652 T^{3} + 10779215329 T^{4} \))(\( 1 + 72 T - 98639 T^{2} + 7475256 T^{3} + 10779215329 T^{4} \))(\( 1 - 12 T - 141646 T^{2} + 790272 T^{3} + 9310238259 T^{4} + 82048409856 T^{5} - 1526832734491534 T^{6} - 13429565677233204 T^{7} + \)\(11\!\cdots\!41\)\( T^{8} \))(\( 1 + 12 T - 141646 T^{2} - 790272 T^{3} + 9310238259 T^{4} - 82048409856 T^{5} - 1526832734491534 T^{6} + 13429565677233204 T^{7} + \)\(11\!\cdots\!41\)\( T^{8} \))(\( 1 + 13970 T^{2} - 10584054429 T^{4} + 150585638146130 T^{6} + \)\(11\!\cdots\!41\)\( T^{8} \))(\( 1 + 13970 T^{2} - 10584054429 T^{4} + 150585638146130 T^{6} + \)\(11\!\cdots\!41\)\( T^{8} \))(\( ( 1 - 103823 T^{2} + 10779215329 T^{4} )^{2} \))(\( 1 - 96 T - 75734 T^{2} + 11778816 T^{3} - 4519545597 T^{4} + 1222912013568 T^{5} - 816353093726486 T^{6} - 107436525417865632 T^{7} + \)\(11\!\cdots\!41\)\( T^{8} \))(\( 1 + 96 T - 75734 T^{2} - 11778816 T^{3} - 4519545597 T^{4} - 1222912013568 T^{5} - 816353093726486 T^{6} + 107436525417865632 T^{7} + \)\(11\!\cdots\!41\)\( T^{8} \))(\( 1 - 210 T - 20853 T^{2} + 83809446 T^{3} - 12756928590 T^{4} - 2596137940074 T^{5} + 3698984470026571 T^{6} - 269538829352302902 T^{7} - \)\(13\!\cdots\!10\)\( T^{8} + \)\(93\!\cdots\!82\)\( T^{9} - \)\(24\!\cdots\!73\)\( T^{10} - \)\(25\!\cdots\!30\)\( T^{11} + \)\(12\!\cdots\!89\)\( T^{12} \))(\( 1 - 279692 T^{2} + 37152412138 T^{4} - 5458685013243056 T^{6} + \)\(72\!\cdots\!79\)\( T^{8} - \)\(58\!\cdots\!24\)\( T^{10} + \)\(43\!\cdots\!58\)\( T^{12} - \)\(35\!\cdots\!88\)\( T^{14} + \)\(13\!\cdots\!81\)\( T^{16} \))(\( 1 - 228052 T^{2} + 17880021370 T^{4} - 2866445491787152 T^{6} + \)\(48\!\cdots\!99\)\( T^{8} - \)\(30\!\cdots\!08\)\( T^{10} + \)\(20\!\cdots\!70\)\( T^{12} - \)\(28\!\cdots\!28\)\( T^{14} + \)\(13\!\cdots\!81\)\( T^{16} \))(\( ( 1 - 80164 T^{2} - 7810995302 T^{4} + 586894148427440 T^{6} + 17238037152042764179 T^{8} + \)\(63\!\cdots\!60\)\( T^{10} - \)\(90\!\cdots\!82\)\( T^{12} - \)\(10\!\cdots\!96\)\( T^{14} + \)\(13\!\cdots\!81\)\( T^{16} )^{2} \))(\( ( 1 - 205870 T^{2} + 31603241571 T^{4} - 2219117059781230 T^{6} + \)\(11\!\cdots\!41\)\( T^{8} )^{2} \))(\( ( 1 - 103823 T^{2} + 10779215329 T^{4} )^{4} \))(\( 1 - 358312 T^{2} + 90535322508 T^{4} - 16795335458693168 T^{6} + \)\(25\!\cdots\!46\)\( T^{8} - \)\(33\!\cdots\!96\)\( T^{10} + \)\(39\!\cdots\!64\)\( T^{12} - \)\(42\!\cdots\!76\)\( T^{14} + \)\(45\!\cdots\!75\)\( T^{16} - \)\(46\!\cdots\!04\)\( T^{18} + \)\(46\!\cdots\!24\)\( T^{20} - \)\(42\!\cdots\!44\)\( T^{22} + \)\(35\!\cdots\!26\)\( T^{24} - \)\(24\!\cdots\!32\)\( T^{26} + \)\(14\!\cdots\!68\)\( T^{28} - \)\(60\!\cdots\!08\)\( T^{30} + \)\(18\!\cdots\!61\)\( T^{32} \))
$53$ (\( 1 - 22 T + 148877 T^{2} \))(\( 1 + 258 T + 148877 T^{2} \))(\( 1 - 22 T + 148877 T^{2} \))(\( 1 + 303 T + 148877 T^{2} \))(\( 1 + 303 T + 148877 T^{2} \))(\( 1 + 148877 T^{2} \))(\( 1 - 722 T + 148877 T^{2} \))(\( 1 - 722 T + 148877 T^{2} \))(\( 1 - 162 T + 148877 T^{2} \))(\( 1 - 498 T + 148877 T^{2} \))(\( 1 + 363 T + 148877 T^{2} \))(\( 1 + 363 T + 148877 T^{2} \))(\( 1 + 590 T + 148877 T^{2} \))(\( 1 + 268 T + 56510 T^{2} + 39899036 T^{3} + 22164361129 T^{4} \))(\( 1 + 268 T + 56510 T^{2} + 39899036 T^{3} + 22164361129 T^{4} \))(\( 1 + 50346 T^{2} + 22164361129 T^{4} \))(\( 1 + 273130 T^{2} + 22164361129 T^{4} \))(\( 1 - 1104 T + 602230 T^{2} - 164360208 T^{3} + 22164361129 T^{4} \))(\( 1 + 393 T + 365895 T^{2} + 83847930 T^{3} + 54473349915 T^{4} + 8710593923697 T^{5} + 3299763591802133 T^{6} \))(\( 1 + 393 T + 365895 T^{2} + 83847930 T^{3} + 54473349915 T^{4} + 8710593923697 T^{5} + 3299763591802133 T^{6} \))(\( ( 1 + 8 T + 276710 T^{2} + 1191016 T^{3} + 22164361129 T^{4} )^{2} \))(\( 1 + 574307 T^{2} + 126700633692 T^{4} + 12729147746912603 T^{6} + \)\(49\!\cdots\!41\)\( T^{8} \))(\( 1 + 574307 T^{2} + 126700633692 T^{4} + 12729147746912603 T^{6} + \)\(49\!\cdots\!41\)\( T^{8} \))(\( ( 1 + 462132 T^{2} + 97706926838 T^{4} + 10242860537267028 T^{6} + \)\(49\!\cdots\!41\)\( T^{8} )^{2} \))(\( ( 1 - 506674 T^{2} + 170852400457 T^{4} - 38178976356454850 T^{6} + \)\(66\!\cdots\!00\)\( T^{8} - \)\(84\!\cdots\!50\)\( T^{10} + \)\(83\!\cdots\!37\)\( T^{12} - \)\(55\!\cdots\!86\)\( T^{14} + \)\(24\!\cdots\!81\)\( T^{16} )^{2} \))(\( 1 - 590 T + 199223 T^{2} - 87837430 T^{3} + 22164361129 T^{4} \))(\( 1 + 498 T + 99127 T^{2} + 74140746 T^{3} + 22164361129 T^{4} \))(\( 1 - 363 T - 17108 T^{2} - 54042351 T^{3} + 22164361129 T^{4} \))(\( 1 + 498 T + 99127 T^{2} + 74140746 T^{3} + 22164361129 T^{4} \))(\( 1 + 162 T - 122633 T^{2} + 24118074 T^{3} + 22164361129 T^{4} \))(\( 1 + 722 T + 372407 T^{2} + 107489194 T^{3} + 22164361129 T^{4} \))(\( 1 + 722 T + 372407 T^{2} + 107489194 T^{3} + 22164361129 T^{4} \))(\( 1 + 162 T - 122633 T^{2} + 24118074 T^{3} + 22164361129 T^{4} \))(\( 1 - 148877 T^{2} + 22164361129 T^{4} \))(\( 1 - 148877 T^{2} + 22164361129 T^{4} \))(\( 1 - 303 T - 57068 T^{2} - 45109731 T^{3} + 22164361129 T^{4} \))(\( 1 + 22 T - 148393 T^{2} + 3275294 T^{3} + 22164361129 T^{4} \))(\( 1 - 258 T - 82313 T^{2} - 38410266 T^{3} + 22164361129 T^{4} \))(\( 1 - 258 T - 82313 T^{2} - 38410266 T^{3} + 22164361129 T^{4} \))(\( 1 + 22 T - 148393 T^{2} + 3275294 T^{3} + 22164361129 T^{4} \))(\( 1 + 1104 T + 616586 T^{2} + 336141504 T^{3} + 159062942139 T^{4} + 50043738691008 T^{5} + 13666234771085594 T^{6} + 3642939005349554832 T^{7} + \)\(49\!\cdots\!41\)\( T^{8} \))(\( 1 + 1104 T + 616586 T^{2} + 336141504 T^{3} + 159062942139 T^{4} + 50043738691008 T^{5} + 13666234771085594 T^{6} + 3642939005349554832 T^{7} + \)\(49\!\cdots\!41\)\( T^{8} \))(\( 1 - 273130 T^{2} + 52435635771 T^{4} - 6053751955163770 T^{6} + \)\(49\!\cdots\!41\)\( T^{8} \))(\( 1 - 273130 T^{2} + 52435635771 T^{4} - 6053751955163770 T^{6} + \)\(49\!\cdots\!41\)\( T^{8} \))(\( 1 - 50346 T^{2} - 19629641413 T^{4} - 1115886925400634 T^{6} + \)\(49\!\cdots\!41\)\( T^{8} \))(\( 1 - 268 T + 15314 T^{2} + 64653392 T^{3} - 29663922677 T^{4} + 9625403040784 T^{5} + 339425026329506 T^{6} - 884336642602971644 T^{7} + \)\(49\!\cdots\!41\)\( T^{8} \))(\( 1 - 268 T + 15314 T^{2} + 64653392 T^{3} - 29663922677 T^{4} + 9625403040784 T^{5} + 339425026329506 T^{6} - 884336642602971644 T^{7} + \)\(49\!\cdots\!41\)\( T^{8} \))(\( 1 - 393 T - 211446 T^{2} + 23899125 T^{3} + 46453564620 T^{4} + 3425920762143 T^{5} - 9724787230272680 T^{6} + 510040805305563411 T^{7} + \)\(10\!\cdots\!80\)\( T^{8} + \)\(78\!\cdots\!25\)\( T^{9} - \)\(10\!\cdots\!86\)\( T^{10} - \)\(28\!\cdots\!01\)\( T^{11} + \)\(10\!\cdots\!89\)\( T^{12} \))(\( 1 - 574307 T^{2} + 203127896557 T^{4} - 47306765339926238 T^{6} + \)\(82\!\cdots\!02\)\( T^{8} - \)\(10\!\cdots\!02\)\( T^{10} + \)\(99\!\cdots\!37\)\( T^{12} - \)\(62\!\cdots\!23\)\( T^{14} + \)\(24\!\cdots\!81\)\( T^{16} \))(\( ( 1 - 8 T - 276646 T^{2} + 168352 T^{3} + 54394534843 T^{4} + 25063740704 T^{5} - 6131681848893334 T^{6} - 26398108734417064 T^{7} + \)\(49\!\cdots\!41\)\( T^{8} )^{2} \))(\( ( 1 - 462132 T^{2} + 115859058586 T^{4} - 24667776438964560 T^{6} + \)\(43\!\cdots\!07\)\( T^{8} - \)\(54\!\cdots\!40\)\( T^{10} + \)\(56\!\cdots\!26\)\( T^{12} - \)\(50\!\cdots\!48\)\( T^{14} + \)\(24\!\cdots\!81\)\( T^{16} )^{2} \))(\( ( 1 + 169736 T^{2} + 6645948567 T^{4} + 3762090000591944 T^{6} + \)\(49\!\cdots\!41\)\( T^{8} )^{2} \))(\( 1 + 41794002542 T^{4} + \)\(12\!\cdots\!23\)\( T^{8} + \)\(20\!\cdots\!22\)\( T^{12} + \)\(24\!\cdots\!81\)\( T^{16} \))(\( 1 + 506674 T^{2} + 85866141819 T^{4} + 10208516436240318 T^{6} + \)\(32\!\cdots\!49\)\( T^{8} + \)\(63\!\cdots\!00\)\( T^{10} + \)\(61\!\cdots\!74\)\( T^{12} + \)\(12\!\cdots\!24\)\( T^{14} + \)\(28\!\cdots\!38\)\( T^{16} + \)\(27\!\cdots\!96\)\( T^{18} + \)\(30\!\cdots\!34\)\( T^{20} + \)\(69\!\cdots\!00\)\( T^{22} + \)\(77\!\cdots\!69\)\( T^{24} + \)\(54\!\cdots\!82\)\( T^{26} + \)\(10\!\cdots\!99\)\( T^{28} + \)\(13\!\cdots\!66\)\( T^{30} + \)\(58\!\cdots\!61\)\( T^{32} \))
$59$ (\( 1 + 468 T + 205379 T^{2} \))(\( 1 - 120 T + 205379 T^{2} \))(\( 1 - 468 T + 205379 T^{2} \))(\( 1 - 105 T + 205379 T^{2} \))(\( 1 + 105 T + 205379 T^{2} \))(\( 1 + 205379 T^{2} \))(\( 1 + 492 T + 205379 T^{2} \))(\( 1 - 492 T + 205379 T^{2} \))(\( 1 - 810 T + 205379 T^{2} \))(\( 1 + 132 T + 205379 T^{2} \))(\( 1 + 15 T + 205379 T^{2} \))(\( 1 - 15 T + 205379 T^{2} \))(\( 1 + 205379 T^{2} \))(\( 1 - 616 T + 403470 T^{2} - 126513464 T^{3} + 42180533641 T^{4} \))(\( 1 + 616 T + 403470 T^{2} + 126513464 T^{3} + 42180533641 T^{4} \))(\( ( 1 + 205379 T^{2} )^{2} \))(\( 1 + 386134 T^{2} + 42180533641 T^{4} \))(\( 1 - 804 T + 380614 T^{2} - 165124716 T^{3} + 42180533641 T^{4} \))(\( 1 + 1143 T + 749241 T^{2} + 369027450 T^{3} + 153878367339 T^{4} + 48212349951663 T^{5} + 8662995818654939 T^{6} \))(\( 1 - 1143 T + 749241 T^{2} - 369027450 T^{3} + 153878367339 T^{4} - 48212349951663 T^{5} + 8662995818654939 T^{6} \))(\( 1 + 632162 T^{2} + 176905491658 T^{4} + 26664930507561842 T^{6} + \)\(17\!\cdots\!81\)\( T^{8} \))(\( 1 + 615851 T^{2} + 176286397968 T^{4} + 25976923823343491 T^{6} + \)\(17\!\cdots\!81\)\( T^{8} \))(\( 1 + 615851 T^{2} + 176286397968 T^{4} + 25976923823343491 T^{6} + \)\(17\!\cdots\!81\)\( T^{8} \))(\( ( 1 + 590420 T^{2} + 168915151078 T^{4} + 24904230672319220 T^{6} + \)\(17\!\cdots\!81\)\( T^{8} )^{2} \))(\( ( 1 + 399442 T^{2} + 69559586281 T^{4} - 2403193388843270 T^{6} - \)\(20\!\cdots\!44\)\( T^{8} - \)\(10\!\cdots\!70\)\( T^{10} + \)\(12\!\cdots\!61\)\( T^{12} + \)\(29\!\cdots\!82\)\( T^{14} + \)\(31\!\cdots\!61\)\( T^{16} )^{2} \))(\( 1 - 205379 T^{2} + 42180533641 T^{4} \))(\( 1 + 132 T - 187955 T^{2} + 27110028 T^{3} + 42180533641 T^{4} \))(\( 1 - 15 T - 205154 T^{2} - 3080685 T^{3} + 42180533641 T^{4} \))(\( 1 - 132 T - 187955 T^{2} - 27110028 T^{3} + 42180533641 T^{4} \))(\( 1 + 810 T + 450721 T^{2} + 166356990 T^{3} + 42180533641 T^{4} \))(\( 1 + 492 T + 36685 T^{2} + 101046468 T^{3} + 42180533641 T^{4} \))(\( 1 - 492 T + 36685 T^{2} - 101046468 T^{3} + 42180533641 T^{4} \))(\( 1 - 810 T + 450721 T^{2} - 166356990 T^{3} + 42180533641 T^{4} \))(\( 1 - 205379 T^{2} + 42180533641 T^{4} \))(\( 1 - 205379 T^{2} + 42180533641 T^{4} \))(\( 1 - 105 T - 194354 T^{2} - 21564795 T^{3} + 42180533641 T^{4} \))(\( 1 + 468 T + 13645 T^{2} + 96117372 T^{3} + 42180533641 T^{4} \))(\( 1 - 120 T - 190979 T^{2} - 24645480 T^{3} + 42180533641 T^{4} \))(\( 1 + 120 T - 190979 T^{2} + 24645480 T^{3} + 42180533641 T^{4} \))(\( 1 - 468 T + 13645 T^{2} - 96117372 T^{3} + 42180533641 T^{4} \))(\( 1 + 804 T + 265802 T^{2} - 24235776 T^{3} - 30073788309 T^{4} - 4977519439104 T^{5} + 11211670202845082 T^{6} + 6965048638198570956 T^{7} + \)\(17\!\cdots\!81\)\( T^{8} \))(\( 1 - 804 T + 265802 T^{2} + 24235776 T^{3} - 30073788309 T^{4} + 4977519439104 T^{5} + 11211670202845082 T^{6} - 6965048638198570956 T^{7} + \)\(17\!\cdots\!81\)\( T^{8} \))(\( 1 - 386134 T^{2} + 106918932315 T^{4} - 16287338176933894 T^{6} + \)\(17\!\cdots\!81\)\( T^{8} \))(\( 1 - 386134 T^{2} + 106918932315 T^{4} - 16287338176933894 T^{6} + \)\(17\!\cdots\!81\)\( T^{8} \))(\( ( 1 - 205379 T^{2} + 42180533641 T^{4} )^{2} \))(\( 1 - 616 T - 24014 T^{2} + 4489408 T^{3} + 42675213435 T^{4} + 922030125632 T^{5} - 1012923334854974 T^{6} - 5336405424291442424 T^{7} + \)\(17\!\cdots\!81\)\( T^{8} \))(\( 1 + 616 T - 24014 T^{2} - 4489408 T^{3} + 42675213435 T^{4} - 922030125632 T^{5} - 1012923334854974 T^{6} + 5336405424291442424 T^{7} + \)\(17\!\cdots\!81\)\( T^{8} \))(\( 1 + 1143 T + 557208 T^{2} + 118327563 T^{3} - 14314666608 T^{4} - 27063102119841 T^{5} - 16891447327378130 T^{6} - 5558192850270824739 T^{7} - \)\(60\!\cdots\!28\)\( T^{8} + \)\(10\!\cdots\!57\)\( T^{9} + \)\(99\!\cdots\!48\)\( T^{10} + \)\(41\!\cdots\!57\)\( T^{11} + \)\(75\!\cdots\!21\)\( T^{12} \))(\( 1 - 615851 T^{2} + 202986056233 T^{4} - 56612306828303786 T^{6} + \)\(13\!\cdots\!02\)\( T^{8} - \)\(23\!\cdots\!26\)\( T^{10} + \)\(36\!\cdots\!73\)\( T^{12} - \)\(46\!\cdots\!71\)\( T^{14} + \)\(31\!\cdots\!61\)\( T^{16} \))(\( 1 - 632162 T^{2} + 222723302586 T^{4} - 58503068402380912 T^{6} + \)\(12\!\cdots\!79\)\( T^{8} - \)\(24\!\cdots\!92\)\( T^{10} + \)\(39\!\cdots\!66\)\( T^{12} - \)\(47\!\cdots\!02\)\( T^{14} + \)\(31\!\cdots\!61\)\( T^{16} \))(\( ( 1 - 590420 T^{2} + 179680625322 T^{4} - 49922422154834320 T^{6} + \)\(12\!\cdots\!03\)\( T^{8} - \)\(21\!\cdots\!20\)\( T^{10} + \)\(31\!\cdots\!82\)\( T^{12} - \)\(44\!\cdots\!20\)\( T^{14} + \)\(31\!\cdots\!61\)\( T^{16} )^{2} \))(\( ( 1 - 403654 T^{2} + 120756018075 T^{4} - 17026341126324214 T^{6} + \)\(17\!\cdots\!81\)\( T^{8} )^{2} \))(\( ( 1 - 205379 T^{2} + 42180533641 T^{4} )^{4} \))(\( 1 - 399442 T^{2} + 89994325083 T^{4} - 32591407040941742 T^{6} + \)\(78\!\cdots\!45\)\( T^{8} - \)\(13\!\cdots\!56\)\( T^{10} + \)\(43\!\cdots\!26\)\( T^{12} - \)\(98\!\cdots\!64\)\( T^{14} + \)\(16\!\cdots\!22\)\( T^{16} - \)\(41\!\cdots\!24\)\( T^{18} + \)\(77\!\cdots\!06\)\( T^{20} - \)\(10\!\cdots\!76\)\( T^{22} + \)\(24\!\cdots\!45\)\( T^{24} - \)\(43\!\cdots\!42\)\( T^{26} + \)\(50\!\cdots\!03\)\( T^{28} - \)\(94\!\cdots\!02\)\( T^{30} + \)\(10\!\cdots\!21\)\( T^{32} \))
$61$ (\( 1 - 792 T + 226981 T^{2} \))(\( 1 + 622 T + 226981 T^{2} \))(\( 1 + 792 T + 226981 T^{2} \))(\( 1 + 413 T + 226981 T^{2} \))(\( 1 - 413 T + 226981 T^{2} \))(\( 1 + 182 T + 226981 T^{2} \))(\( 1 + 492 T + 226981 T^{2} \))(\( 1 - 492 T + 226981 T^{2} \))(\( 1 - 488 T + 226981 T^{2} \))(\( 1 + 398 T + 226981 T^{2} \))(\( 1 - 118 T + 226981 T^{2} \))(\( 1 + 118 T + 226981 T^{2} \))(\( 1 + 226981 T^{2} \))(\( 1 - 16 T + 454008 T^{2} - 3631696 T^{3} + 51520374361 T^{4} \))(\( 1 + 16 T + 454008 T^{2} + 3631696 T^{3} + 51520374361 T^{4} \))(\( ( 1 + 226981 T^{2} )^{2} \))(\( ( 1 + 790 T + 226981 T^{2} )^{2} \))(\( 1 - 428 T + 425886 T^{2} - 97147868 T^{3} + 51520374361 T^{4} \))(\( 1 + 70 T + 340043 T^{2} - 52853660 T^{3} + 77183300183 T^{4} + 3606426205270 T^{5} + 11694146092834141 T^{6} \))(\( 1 - 70 T + 340043 T^{2} + 52853660 T^{3} + 77183300183 T^{4} - 3606426205270 T^{5} + 11694146092834141 T^{6} \))(\( 1 + 547658 T^{2} + 150597445698 T^{4} + 28215545181796538 T^{6} + \)\(26\!\cdots\!21\)\( T^{8} \))(\( ( 1 + 666 T + 462754 T^{2} + 151169346 T^{3} + 51520374361 T^{4} )^{2} \))(\( ( 1 - 666 T + 462754 T^{2} - 151169346 T^{3} + 51520374361 T^{4} )^{2} \))(\( ( 1 + 162080 T^{2} - 25534056078 T^{4} + 8350422276430880 T^{6} + \)\(26\!\cdots\!21\)\( T^{8} )^{2} \))(\( ( 1 - 1009100 T^{2} + 469105132744 T^{4} - 143096567459092868 T^{6} + \)\(34\!\cdots\!22\)\( T^{8} - \)\(73\!\cdots\!48\)\( T^{10} + \)\(12\!\cdots\!24\)\( T^{12} - \)\(13\!\cdots\!00\)\( T^{14} + \)\(70\!\cdots\!41\)\( T^{16} )^{2} \))(\( 1 - 226981 T^{2} + 51520374361 T^{4} \))(\( 1 + 398 T - 68577 T^{2} + 90338438 T^{3} + 51520374361 T^{4} \))(\( 1 + 118 T - 213057 T^{2} + 26783758 T^{3} + 51520374361 T^{4} \))(\( 1 - 398 T - 68577 T^{2} - 90338438 T^{3} + 51520374361 T^{4} \))(\( 1 + 488 T + 11163 T^{2} + 110766728 T^{3} + 51520374361 T^{4} \))(\( 1 + 492 T + 15083 T^{2} + 111674652 T^{3} + 51520374361 T^{4} \))(\( 1 - 492 T + 15083 T^{2} - 111674652 T^{3} + 51520374361 T^{4} \))(\( 1 - 488 T + 11163 T^{2} - 110766728 T^{3} + 51520374361 T^{4} \))(\( ( 1 - 719 T + 226981 T^{2} )( 1 + 901 T + 226981 T^{2} ) \))(\( ( 1 - 901 T + 226981 T^{2} )( 1 + 719 T + 226981 T^{2} ) \))(\( 1 + 413 T - 56412 T^{2} + 93743153 T^{3} + 51520374361 T^{4} \))(\( 1 - 792 T + 400283 T^{2} - 179768952 T^{3} + 51520374361 T^{4} \))(\( 1 + 622 T + 159903 T^{2} + 141182182 T^{3} + 51520374361 T^{4} \))(\( 1 - 622 T + 159903 T^{2} - 141182182 T^{3} + 51520374361 T^{4} \))(\( 1 + 792 T + 400283 T^{2} + 179768952 T^{3} + 51520374361 T^{4} \))(\( 1 + 428 T - 242702 T^{2} - 12016528 T^{3} + 88279223131 T^{4} - 2727523541968 T^{5} - 12504097898163422 T^{6} + 5005094527733012348 T^{7} + \)\(26\!\cdots\!21\)\( T^{8} \))(\( 1 - 428 T - 242702 T^{2} + 12016528 T^{3} + 88279223131 T^{4} + 2727523541968 T^{5} - 12504097898163422 T^{6} - 5005094527733012348 T^{7} + \)\(26\!\cdots\!21\)\( T^{8} \))(\( ( 1 + 790 T + 397119 T^{2} + 179314990 T^{3} + 51520374361 T^{4} )^{2} \))(\( ( 1 - 790 T + 397119 T^{2} - 179314990 T^{3} + 51520374361 T^{4} )^{2} \))(\( ( 1 - 226981 T^{2} + 51520374361 T^{4} )^{2} \))(\( 1 - 16 T - 453752 T^{2} - 736 T^{3} + 154544782567 T^{4} - 167058016 T^{5} - 23377472907052472 T^{6} - 187106337485346256 T^{7} + \)\(26\!\cdots\!21\)\( T^{8} \))(\( 1 + 16 T - 453752 T^{2} + 736 T^{3} + 154544782567 T^{4} + 167058016 T^{5} - 23377472907052472 T^{6} + 187106337485346256 T^{7} + \)\(26\!\cdots\!21\)\( T^{8} \))(\( 1 + 70 T - 335143 T^{2} + 129510330 T^{3} + 42145697866 T^{4} - 25171752927730 T^{5} - 316289217432887 T^{6} - 5713509651289083130 T^{7} + \)\(21\!\cdots\!26\)\( T^{8} + \)\(15\!\cdots\!30\)\( T^{9} - \)\(88\!\cdots\!03\)\( T^{10} + \)\(42\!\cdots\!70\)\( T^{11} + \)\(13\!\cdots\!81\)\( T^{12} \))(\( ( 1 - 666 T - 19198 T^{2} - 5855472 T^{3} + 61942105719 T^{4} - 1329080890032 T^{5} - 989088146982478 T^{6} - 7788301297827537906 T^{7} + \)\(26\!\cdots\!21\)\( T^{8} )^{2} \))(\( 1 - 547658 T^{2} + 149331839266 T^{4} - 26044805552482208 T^{6} + \)\(45\!\cdots\!79\)\( T^{8} - \)\(13\!\cdots\!88\)\( T^{10} + \)\(39\!\cdots\!86\)\( T^{12} - \)\(74\!\cdots\!98\)\( T^{14} + \)\(70\!\cdots\!41\)\( T^{16} \))(\( ( 1 - 162080 T^{2} + 51803982478 T^{4} + 20839404361984000 T^{6} - \)\(33\!\cdots\!37\)\( T^{8} + \)\(10\!\cdots\!00\)\( T^{10} + \)\(13\!\cdots\!38\)\( T^{12} - \)\(22\!\cdots\!80\)\( T^{14} + \)\(70\!\cdots\!41\)\( T^{16} )^{2} \))(\( ( 1 + 24170 T^{2} - 50936185461 T^{4} + 1245247448305370 T^{6} + \)\(26\!\cdots\!21\)\( T^{8} )^{2} \))(\( ( 1 + 226981 T^{2} + 51520374361 T^{4} )^{4} \))(\( ( 1 - 816 T + 837478 T^{2} - 502269216 T^{3} + 333755818642 T^{4} - 188353178559720 T^{5} + 93910648157586304 T^{6} - 50370689927417233344 T^{7} + \)\(21\!\cdots\!87\)\( T^{8} - \)\(11\!\cdots\!64\)\( T^{9} + \)\(48\!\cdots\!44\)\( T^{10} - \)\(22\!\cdots\!20\)\( T^{11} + \)\(88\!\cdots\!82\)\( T^{12} - \)\(30\!\cdots\!16\)\( T^{13} + \)\(11\!\cdots\!18\)\( T^{14} - \)\(25\!\cdots\!76\)\( T^{15} + \)\(70\!\cdots\!41\)\( T^{16} )^{2} \))
$67$ (\( 1 - 232 T + 300763 T^{2} \))(\( 1 - 904 T + 300763 T^{2} \))(\( 1 - 232 T + 300763 T^{2} \))(\( 1 - 415 T + 300763 T^{2} \))(\( 1 - 415 T + 300763 T^{2} \))(\( 1 + 880 T + 300763 T^{2} \))(\( 1 - 412 T + 300763 T^{2} \))(\( 1 - 412 T + 300763 T^{2} \))(\( 1 - 244 T + 300763 T^{2} \))(\( 1 - 92 T + 300763 T^{2} \))(\( 1 + 370 T + 300763 T^{2} \))(\( 1 + 370 T + 300763 T^{2} \))(\( 1 + 740 T + 300763 T^{2} \))(\( 1 + 144 T + 57558 T^{2} + 43309872 T^{3} + 90458382169 T^{4} \))(\( 1 + 144 T + 57558 T^{2} + 43309872 T^{3} + 90458382169 T^{4} \))(\( ( 1 + 740 T + 300763 T^{2} )^{2} \))(\( ( 1 + 44 T + 300763 T^{2} )^{2} \))(\( 1 - 148 T + 440790 T^{2} - 44512924 T^{3} + 90458382169 T^{4} \))(\( 1 + 628 T + 597326 T^{2} + 405751330 T^{3} + 179653559738 T^{4} + 56807864002132 T^{5} + 27206534396294947 T^{6} \))(\( 1 + 628 T + 597326 T^{2} + 405751330 T^{3} + 179653559738 T^{4} + 56807864002132 T^{5} + 27206534396294947 T^{6} \))(\( ( 1 + 972 T + 743862 T^{2} + 292341636 T^{3} + 90458382169 T^{4} )^{2} \))(\( ( 1 - 945 T + 807364 T^{2} - 284221035 T^{3} + 90458382169 T^{4} )^{2} \))(\( ( 1 - 945 T + 807364 T^{2} - 284221035 T^{3} + 90458382169 T^{4} )^{2} \))(\( ( 1 + 345126 T^{2} + 90458382169 T^{4} )^{4} \))(\( ( 1 + 154 T + 1033021 T^{2} + 130478614 T^{3} + 445027403680 T^{4} + 39243139382482 T^{5} + 93445408406602549 T^{6} + 4189806297029421838 T^{7} + \)\(81\!\cdots\!61\)\( T^{8} )^{4} \))(\( 1 - 740 T + 246837 T^{2} - 222564620 T^{3} + 90458382169 T^{4} \))(\( 1 + 92 T - 292299 T^{2} + 27670196 T^{3} + 90458382169 T^{4} \))(\( 1 - 370 T - 163863 T^{2} - 111282310 T^{3} + 90458382169 T^{4} \))(\( 1 + 92 T - 292299 T^{2} + 27670196 T^{3} + 90458382169 T^{4} \))(\( 1 + 244 T - 241227 T^{2} + 73386172 T^{3} + 90458382169 T^{4} \))(\( 1 + 412 T - 131019 T^{2} + 123914356 T^{3} + 90458382169 T^{4} \))(\( 1 + 412 T - 131019 T^{2} + 123914356 T^{3} + 90458382169 T^{4} \))(\( 1 + 244 T - 241227 T^{2} + 73386172 T^{3} + 90458382169 T^{4} \))(\( ( 1 - 1007 T + 300763 T^{2} )( 1 + 127 T + 300763 T^{2} ) \))(\( ( 1 - 1007 T + 300763 T^{2} )( 1 + 127 T + 300763 T^{2} ) \))(\( 1 + 415 T - 128538 T^{2} + 124816645 T^{3} + 90458382169 T^{4} \))(\( 1 + 232 T - 246939 T^{2} + 69777016 T^{3} + 90458382169 T^{4} \))(\( 1 + 904 T + 516453 T^{2} + 271889752 T^{3} + 90458382169 T^{4} \))(\( 1 + 904 T + 516453 T^{2} + 271889752 T^{3} + 90458382169 T^{4} \))(\( 1 + 232 T - 246939 T^{2} + 69777016 T^{3} + 90458382169 T^{4} \))(\( 1 + 148 T - 418886 T^{2} - 23788928 T^{3} + 97249529179 T^{4} - 7154829352064 T^{5} - 37891749873243734 T^{6} + 4026567090651652156 T^{7} + \)\(81\!\cdots\!61\)\( T^{8} \))(\( 1 + 148 T - 418886 T^{2} - 23788928 T^{3} + 97249529179 T^{4} - 7154829352064 T^{5} - 37891749873243734 T^{6} + 4026567090651652156 T^{7} + \)\(81\!\cdots\!61\)\( T^{8} \))(\( ( 1 - 44 T - 298827 T^{2} - 13233572 T^{3} + 90458382169 T^{4} )^{2} \))(\( ( 1 - 44 T - 298827 T^{2} - 13233572 T^{3} + 90458382169 T^{4} )^{2} \))(\( ( 1 - 740 T + 246837 T^{2} - 222564620 T^{3} + 90458382169 T^{4} )^{2} \))(\( 1 - 144 T - 36822 T^{2} + 78331392 T^{3} - 93382080373 T^{4} + 23559184452096 T^{5} - 3330858548226918 T^{6} - 3917740953066472368 T^{7} + \)\(81\!\cdots\!61\)\( T^{8} \))(\( 1 - 144 T - 36822 T^{2} + 78331392 T^{3} - 93382080373 T^{4} + 23559184452096 T^{5} - 3330858548226918 T^{6} - 3917740953066472368 T^{7} + \)\(81\!\cdots\!61\)\( T^{8} \))(\( 1 - 628 T - 202942 T^{2} + 436381932 T^{3} - 77667044702 T^{4} - 73528811914784 T^{5} + 76060129771959310 T^{6} - 22114746057926180192 T^{7} - \)\(70\!\cdots\!38\)\( T^{8} + \)\(11\!\cdots\!04\)\( T^{9} - \)\(16\!\cdots\!62\)\( T^{10} - \)\(15\!\cdots\!04\)\( T^{11} + \)\(74\!\cdots\!09\)\( T^{12} \))(\( ( 1 + 945 T + 85661 T^{2} + 194516910 T^{3} + 292789368252 T^{4} + 58503489402330 T^{5} + 7748755474978709 T^{6} + 25710175004498724915 T^{7} + \)\(81\!\cdots\!61\)\( T^{8} )^{2} \))(\( ( 1 - 972 T + 200922 T^{2} - 138350592 T^{3} + 178716222683 T^{4} - 41610739101696 T^{5} + 18175079062159818 T^{6} - 26444751433198688484 T^{7} + \)\(81\!\cdots\!61\)\( T^{8} )^{2} \))(\( ( 1 - 345126 T^{2} + 28653573707 T^{4} - 31219539604458294 T^{6} + \)\(81\!\cdots\!61\)\( T^{8} )^{4} \))(\( ( 1 + 296 T - 213147 T^{2} + 89025848 T^{3} + 90458382169 T^{4} )^{4} \))(\( ( 1 + 740 T + 246837 T^{2} + 222564620 T^{3} + 90458382169 T^{4} )^{4} \))(\( ( 1 - 154 T - 1009305 T^{2} + 101871994 T^{3} + 602011276205 T^{4} - 36961847361936 T^{5} - 261850611517253414 T^{6} + 4431016160230762340 T^{7} + \)\(89\!\cdots\!66\)\( T^{8} + \)\(13\!\cdots\!20\)\( T^{9} - \)\(23\!\cdots\!66\)\( T^{10} - \)\(10\!\cdots\!92\)\( T^{11} + \)\(49\!\cdots\!05\)\( T^{12} + \)\(25\!\cdots\!42\)\( T^{13} - \)\(74\!\cdots\!45\)\( T^{14} - \)\(34\!\cdots\!18\)\( T^{15} + \)\(66\!\cdots\!21\)\( T^{16} )^{2} \))
$71$ (\( 1 - 734 T + 357911 T^{2} \))(\( 1 - 678 T + 357911 T^{2} \))(\( 1 - 734 T + 357911 T^{2} \))(\( 1 - 432 T + 357911 T^{2} \))(\( 1 - 432 T + 357911 T^{2} \))(\( 1 + 357911 T^{2} \))(\( 1 + 296 T + 357911 T^{2} \))(\( 1 + 296 T + 357911 T^{2} \))(\( 1 - 768 T + 357911 T^{2} \))(\( 1 - 720 T + 357911 T^{2} \))(\( 1 - 342 T + 357911 T^{2} \))(\( 1 - 342 T + 357911 T^{2} \))(\( 1 + 688 T + 357911 T^{2} \))(\( 1 + 988 T + 852210 T^{2} + 353616068 T^{3} + 128100283921 T^{4} \))(\( 1 + 988 T + 852210 T^{2} + 353616068 T^{3} + 128100283921 T^{4} \))(\( 1 - 242478 T^{2} + 128100283921 T^{4} \))(\( 1 + 518146 T^{2} + 128100283921 T^{4} \))(\( 1 + 954 T + 930526 T^{2} + 341447094 T^{3} + 128100283921 T^{4} \))(\( 1 + 318 T + 742929 T^{2} + 256167372 T^{3} + 265902461319 T^{4} + 40735890286878 T^{5} + 45848500718449031 T^{6} \))(\( 1 + 318 T + 742929 T^{2} + 256167372 T^{3} + 265902461319 T^{4} + 40735890286878 T^{5} + 45848500718449031 T^{6} \))(\( ( 1 + 1124 T + 1018926 T^{2} + 402291964 T^{3} + 128100283921 T^{4} )^{2} \))(\( 1 + 874364 T^{2} + 392544633894 T^{4} + 112006276650301244 T^{6} + \)\(16\!\cdots\!41\)\( T^{8} \))(\( 1 + 874364 T^{2} + 392544633894 T^{4} + 112006276650301244 T^{6} + \)\(16\!\cdots\!41\)\( T^{8} \))(\( ( 1 + 472256 T^{2} + 269755485790 T^{4} + 60496127683395776 T^{6} + \)\(16\!\cdots\!41\)\( T^{8} )^{2} \))(\( ( 1 - 2546056 T^{2} + 2933736697204 T^{4} - 1997708473027518488 T^{6} + \)\(87\!\cdots\!74\)\( T^{8} - \)\(25\!\cdots\!48\)\( T^{10} + \)\(48\!\cdots\!64\)\( T^{12} - \)\(53\!\cdots\!16\)\( T^{14} + \)\(26\!\cdots\!81\)\( T^{16} )^{2} \))(\( ( 1 + 688 T + 357911 T^{2} )^{2} \))(\( ( 1 - 720 T + 357911 T^{2} )^{2} \))(\( ( 1 - 342 T + 357911 T^{2} )^{2} \))(\( ( 1 - 720 T + 357911 T^{2} )^{2} \))(\( ( 1 - 768 T + 357911 T^{2} )^{2} \))(\( ( 1 + 296 T + 357911 T^{2} )^{2} \))(\( ( 1 + 296 T + 357911 T^{2} )^{2} \))(\( ( 1 - 768 T + 357911 T^{2} )^{2} \))(\( ( 1 + 357911 T^{2} )^{2} \))(\( ( 1 + 357911 T^{2} )^{2} \))(\( ( 1 - 432 T + 357911 T^{2} )^{2} \))(\( ( 1 - 734 T + 357911 T^{2} )^{2} \))(\( ( 1 - 678 T + 357911 T^{2} )^{2} \))(\( ( 1 - 678 T + 357911 T^{2} )^{2} \))(\( ( 1 - 734 T + 357911 T^{2} )^{2} \))(\( ( 1 + 954 T + 930526 T^{2} + 341447094 T^{3} + 128100283921 T^{4} )^{2} \))(\( ( 1 + 954 T + 930526 T^{2} + 341447094 T^{3} + 128100283921 T^{4} )^{2} \))(\( ( 1 + 518146 T^{2} + 128100283921 T^{4} )^{2} \))(\( ( 1 + 518146 T^{2} + 128100283921 T^{4} )^{2} \))(\( ( 1 - 242478 T^{2} + 128100283921 T^{4} )^{2} \))(\( ( 1 + 988 T + 852210 T^{2} + 353616068 T^{3} + 128100283921 T^{4} )^{2} \))(\( ( 1 + 988 T + 852210 T^{2} + 353616068 T^{3} + 128100283921 T^{4} )^{2} \))(\( ( 1 + 318 T + 742929 T^{2} + 256167372 T^{3} + 265902461319 T^{4} + 40735890286878 T^{5} + 45848500718449031 T^{6} )^{2} \))(\( ( 1 + 874364 T^{2} + 392544633894 T^{4} + 112006276650301244 T^{6} + \)\(16\!\cdots\!41\)\( T^{8} )^{2} \))(\( ( 1 + 1124 T + 1018926 T^{2} + 402291964 T^{3} + 128100283921 T^{4} )^{4} \))(\( ( 1 + 472256 T^{2} + 269755485790 T^{4} + 60496127683395776 T^{6} + \)\(16\!\cdots\!41\)\( T^{8} )^{4} \))(\( ( 1 - 607244 T^{2} + 128100283921 T^{4} )^{4} \))(\( ( 1 - 197404987358 T^{4} + \)\(16\!\cdots\!41\)\( T^{8} )^{2} \))(\( ( 1 - 2546056 T^{2} + 2933736697204 T^{4} - 1997708473027518488 T^{6} + \)\(87\!\cdots\!74\)\( T^{8} - \)\(25\!\cdots\!48\)\( T^{10} + \)\(48\!\cdots\!64\)\( T^{12} - \)\(53\!\cdots\!16\)\( T^{14} + \)\(26\!\cdots\!81\)\( T^{16} )^{2} \))
$73$ (\( 1 - 180 T + 389017 T^{2} \))(\( 1 - 642 T + 389017 T^{2} \))(\( 1 + 180 T + 389017 T^{2} \))(\( 1 + 1113 T + 389017 T^{2} \))(\( 1 - 1113 T + 389017 T^{2} \))(\( 1 + 1190 T + 389017 T^{2} \))(\( 1 - 240 T + 389017 T^{2} \))(\( 1 + 240 T + 389017 T^{2} \))(\( 1 - 702 T + 389017 T^{2} \))(\( 1 - 502 T + 389017 T^{2} \))(\( 1 + 362 T + 389017 T^{2} \))(\( 1 - 362 T + 389017 T^{2} \))(\( 1 + 389017 T^{2} \))(\( 1 - 104 T + 459136 T^{2} - 40457768 T^{3} + 151334226289 T^{4} \))(\( 1 + 104 T + 459136 T^{2} + 40457768 T^{3} + 151334226289 T^{4} \))(\( ( 1 + 389017 T^{2} )^{2} \))(\( ( 1 + 126 T + 389017 T^{2} )^{2} \))(\( 1 + 1072 T + 1063278 T^{2} + 417026224 T^{3} + 151334226289 T^{4} \))(\( 1 - 988 T + 1162696 T^{2} - 625490474 T^{3} + 452308509832 T^{4} - 149518215573532 T^{5} + 58871586708267913 T^{6} \))(\( 1 + 988 T + 1162696 T^{2} + 625490474 T^{3} + 452308509832 T^{4} + 149518215573532 T^{5} + 58871586708267913 T^{6} \))(\( 1 + 1279312 T^{2} + 705108016354 T^{4} + 193603691702233168 T^{6} + \)\(22\!\cdots\!21\)\( T^{8} \))(\( ( 1 + 875 T + 967076 T^{2} + 340389875 T^{3} + 151334226289 T^{4} )^{2} \))(\( ( 1 - 875 T + 967076 T^{2} - 340389875 T^{3} + 151334226289 T^{4} )^{2} \))(\( ( 1 + 1020400 T^{2} + 546326225122 T^{4} + 154421444505295600 T^{6} + \)\(22\!\cdots\!21\)\( T^{8} )^{2} \))(\( ( 1 - 762938 T^{2} + 747028656433 T^{4} - 346998178646865506 T^{6} + \)\(17\!\cdots\!76\)\( T^{8} - \)\(52\!\cdots\!34\)\( T^{10} + \)\(17\!\cdots\!93\)\( T^{12} - \)\(26\!\cdots\!22\)\( T^{14} + \)\(52\!\cdots\!41\)\( T^{16} )^{2} \))(\( 1 - 389017 T^{2} + 151334226289 T^{4} \))(\( 1 - 502 T - 137013 T^{2} - 195286534 T^{3} + 151334226289 T^{4} \))(\( 1 - 362 T - 257973 T^{2} - 140824154 T^{3} + 151334226289 T^{4} \))(\( 1 + 502 T - 137013 T^{2} + 195286534 T^{3} + 151334226289 T^{4} \))(\( 1 + 702 T + 103787 T^{2} + 273089934 T^{3} + 151334226289 T^{4} \))(\( 1 - 240 T - 331417 T^{2} - 93364080 T^{3} + 151334226289 T^{4} \))(\( 1 + 240 T - 331417 T^{2} + 93364080 T^{3} + 151334226289 T^{4} \))(\( 1 - 702 T + 103787 T^{2} - 273089934 T^{3} + 151334226289 T^{4} \))(\( ( 1 + 271 T + 389017 T^{2} )( 1 + 919 T + 389017 T^{2} ) \))(\( ( 1 - 919 T + 389017 T^{2} )( 1 - 271 T + 389017 T^{2} ) \))(\( 1 + 1113 T + 849752 T^{2} + 432975921 T^{3} + 151334226289 T^{4} \))(\( 1 - 180 T - 356617 T^{2} - 70023060 T^{3} + 151334226289 T^{4} \))(\( 1 - 642 T + 23147 T^{2} - 249748914 T^{3} + 151334226289 T^{4} \))(\( 1 + 642 T + 23147 T^{2} + 249748914 T^{3} + 151334226289 T^{4} \))(\( 1 + 180 T - 356617 T^{2} + 70023060 T^{3} + 151334226289 T^{4} \))(\( 1 - 1072 T + 85906 T^{2} - 305781568 T^{3} + 532173766867 T^{4} - 118954228238656 T^{5} + 13000518043582834 T^{6} - 63110340951263202736 T^{7} + \)\(22\!\cdots\!21\)\( T^{8} \))(\( 1 + 1072 T + 85906 T^{2} + 305781568 T^{3} + 532173766867 T^{4} + 118954228238656 T^{5} + 13000518043582834 T^{6} + 63110340951263202736 T^{7} + \)\(22\!\cdots\!21\)\( T^{8} \))(\( ( 1 + 126 T - 373141 T^{2} + 49016142 T^{3} + 151334226289 T^{4} )^{2} \))(\( ( 1 - 126 T - 373141 T^{2} - 49016142 T^{3} + 151334226289 T^{4} )^{2} \))(\( ( 1 - 389017 T^{2} + 151334226289 T^{4} )^{2} \))(\( 1 - 104 T - 448320 T^{2} + 33165392 T^{3} + 55264032335 T^{4} + 12901901299664 T^{5} - 67846160329884480 T^{6} - 6122645017659862952 T^{7} + \)\(22\!\cdots\!21\)\( T^{8} \))(\( 1 + 104 T - 448320 T^{2} - 33165392 T^{3} + 55264032335 T^{4} - 12901901299664 T^{5} - 67846160329884480 T^{6} + 6122645017659862952 T^{7} + \)\(22\!\cdots\!21\)\( T^{8} \))(\( 1 - 988 T - 186552 T^{2} + 102237300 T^{3} + 281568890272 T^{4} + 16988127696596 T^{5} - 164639785652996186 T^{6} + 6608670472146686132 T^{7} + \)\(42\!\cdots\!08\)\( T^{8} + \)\(60\!\cdots\!00\)\( T^{9} - \)\(42\!\cdots\!92\)\( T^{10} - \)\(88\!\cdots\!16\)\( T^{11} + \)\(34\!\cdots\!69\)\( T^{12} \))(\( ( 1 - 875 T - 201451 T^{2} - 165411750 T^{3} + 486060622862 T^{4} - 64347982749750 T^{5} - 30486431220145339 T^{6} - 51512638369734423875 T^{7} + \)\(22\!\cdots\!21\)\( T^{8} )^{2} \))(\( 1 - 1279312 T^{2} + 931531176990 T^{4} - 514845763213402112 T^{6} + \)\(22\!\cdots\!79\)\( T^{8} - \)\(77\!\cdots\!68\)\( T^{10} + \)\(21\!\cdots\!90\)\( T^{12} - \)\(44\!\cdots\!28\)\( T^{14} + \)\(52\!\cdots\!41\)\( T^{16} \))(\( ( 1 - 1020400 T^{2} + 494889934878 T^{4} - 248628391103897600 T^{6} + \)\(11\!\cdots\!63\)\( T^{8} - \)\(37\!\cdots\!00\)\( T^{10} + \)\(11\!\cdots\!38\)\( T^{12} - \)\(35\!\cdots\!00\)\( T^{14} + \)\(52\!\cdots\!41\)\( T^{16} )^{2} \))(\( ( 1 + 130682 T^{2} - 134256441165 T^{4} + 19776659359899098 T^{6} + \)\(22\!\cdots\!21\)\( T^{8} )^{2} \))(\( ( 1 + 389017 T^{2} + 151334226289 T^{4} )^{4} \))(\( ( 1 + 2034 T + 2450047 T^{2} + 2178403830 T^{3} + 1347031106821 T^{4} + 430919574332148 T^{5} - 113107388808572534 T^{6} - \)\(30\!\cdots\!80\)\( T^{7} - \)\(25\!\cdots\!10\)\( T^{8} - \)\(11\!\cdots\!60\)\( T^{9} - \)\(17\!\cdots\!26\)\( T^{10} + \)\(25\!\cdots\!24\)\( T^{11} + \)\(30\!\cdots\!41\)\( T^{12} + \)\(19\!\cdots\!10\)\( T^{13} + \)\(84\!\cdots\!43\)\( T^{14} + \)\(27\!\cdots\!82\)\( T^{15} + \)\(52\!\cdots\!41\)\( T^{16} )^{2} \))
$79$ (\( 1 - 236 T + 493039 T^{2} \))(\( 1 - 740 T + 493039 T^{2} \))(\( 1 - 236 T + 493039 T^{2} \))(\( 1 + 103 T + 493039 T^{2} \))(\( 1 + 103 T + 493039 T^{2} \))(\( 1 - 884 T + 493039 T^{2} \))(\( 1 - 776 T + 493039 T^{2} \))(\( 1 - 776 T + 493039 T^{2} \))(\( 1 - 440 T + 493039 T^{2} \))(\( 1 + 1024 T + 493039 T^{2} \))(\( 1 - 467 T + 493039 T^{2} \))(\( 1 - 467 T + 493039 T^{2} \))(\( 1 + 1384 T + 493039 T^{2} \))(\( 1 + 944 T + 1097470 T^{2} + 465428816 T^{3} + 243087455521 T^{4} \))(\( 1 + 944 T + 1097470 T^{2} + 465428816 T^{3} + 243087455521 T^{4} \))(\( ( 1 + 1384 T + 493039 T^{2} )^{2} \))(\( ( 1 + 712 T + 493039 T^{2} )^{2} \))(\( 1 + 572 T + 901662 T^{2} + 282018308 T^{3} + 243087455521 T^{4} \))(\( 1 - 861 T + 1221216 T^{2} - 655056821 T^{3} + 602107115424 T^{4} - 209298299203581 T^{5} + 119851595982618319 T^{6} \))(\( 1 - 861 T + 1221216 T^{2} - 655056821 T^{3} + 602107115424 T^{4} - 209298299203581 T^{5} + 119851595982618319 T^{6} \))(\( ( 1 + 524 T + 480382 T^{2} + 258352436 T^{3} + 243087455521 T^{4} )^{2} \))(\( ( 1 - 4 T + 900969 T^{2} - 1972156 T^{3} + 243087455521 T^{4} )^{2} \))(\( ( 1 - 4 T + 900969 T^{2} - 1972156 T^{3} + 243087455521 T^{4} )^{2} \))(\( ( 1 - 1348 T + 1314718 T^{2} - 664616572 T^{3} + 243087455521 T^{4} )^{4} \))(\( ( 1 - 1088 T + 1452772 T^{2} - 1345149308 T^{3} + 1038291415081 T^{4} - 663211069667012 T^{5} + 353150648932154212 T^{6} - \)\(13\!\cdots\!72\)\( T^{7} + \)\(59\!\cdots\!41\)\( T^{8} )^{4} \))(\( 1 - 1384 T + 1422417 T^{2} - 682365976 T^{3} + 243087455521 T^{4} \))(\( 1 - 1024 T + 555537 T^{2} - 504871936 T^{3} + 243087455521 T^{4} \))(\( 1 + 467 T - 274950 T^{2} + 230249213 T^{3} + 243087455521 T^{4} \))(\( 1 - 1024 T + 555537 T^{2} - 504871936 T^{3} + 243087455521 T^{4} \))(\( 1 + 440 T - 299439 T^{2} + 216937160 T^{3} + 243087455521 T^{4} \))(\( 1 + 776 T + 109137 T^{2} + 382598264 T^{3} + 243087455521 T^{4} \))(\( 1 + 776 T + 109137 T^{2} + 382598264 T^{3} + 243087455521 T^{4} \))(\( 1 + 440 T - 299439 T^{2} + 216937160 T^{3} + 243087455521 T^{4} \))(\( ( 1 - 503 T + 493039 T^{2} )( 1 + 1387 T + 493039 T^{2} ) \))(\( ( 1 - 503 T + 493039 T^{2} )( 1 + 1387 T + 493039 T^{2} ) \))(\( 1 - 103 T - 482430 T^{2} - 50783017 T^{3} + 243087455521 T^{4} \))(\( 1 + 236 T - 437343 T^{2} + 116357204 T^{3} + 243087455521 T^{4} \))(\( 1 + 740 T + 54561 T^{2} + 364848860 T^{3} + 243087455521 T^{4} \))(\( 1 + 740 T + 54561 T^{2} + 364848860 T^{3} + 243087455521 T^{4} \))(\( 1 + 236 T - 437343 T^{2} + 116357204 T^{3} + 243087455521 T^{4} \))(\( 1 - 572 T - 574478 T^{2} + 48285952 T^{3} + 408592434547 T^{4} + 23806857488128 T^{5} - 139648395272793038 T^{6} - 68555112902057678468 T^{7} + \)\(59\!\cdots\!41\)\( T^{8} \))(\( 1 - 572 T - 574478 T^{2} + 48285952 T^{3} + 408592434547 T^{4} + 23806857488128 T^{5} - 139648395272793038 T^{6} - 68555112902057678468 T^{7} + \)\(59\!\cdots\!41\)\( T^{8} \))(\( ( 1 - 712 T + 13905 T^{2} - 351043768 T^{3} + 243087455521 T^{4} )^{2} \))(\( ( 1 - 712 T + 13905 T^{2} - 351043768 T^{3} + 243087455521 T^{4} )^{2} \))(\( ( 1 - 1384 T + 1422417 T^{2} - 682365976 T^{3} + 243087455521 T^{4} )^{2} \))(\( 1 - 944 T - 206334 T^{2} - 105154048 T^{3} + 521988143075 T^{4} - 51845046671872 T^{5} - 50157207047470014 T^{6} - \)\(11\!\cdots\!36\)\( T^{7} + \)\(59\!\cdots\!41\)\( T^{8} \))(\( 1 - 944 T - 206334 T^{2} - 105154048 T^{3} + 521988143075 T^{4} - 51845046671872 T^{5} - 50157207047470014 T^{6} - \)\(11\!\cdots\!36\)\( T^{7} + \)\(59\!\cdots\!41\)\( T^{8} \))(\( 1 + 861 T - 479895 T^{2} - 258646666 T^{3} + 325257480351 T^{4} - 27564282842211 T^{5} - 246706047980056146 T^{6} - 13590266448240869229 T^{7} + \)\(79\!\cdots\!71\)\( T^{8} - \)\(30\!\cdots\!54\)\( T^{9} - \)\(28\!\cdots\!95\)\( T^{10} + \)\(25\!\cdots\!39\)\( T^{11} + \)\(14\!\cdots\!61\)\( T^{12} \))(\( ( 1 + 4 T - 900953 T^{2} - 340436 T^{3} + 568649794816 T^{4} - 167848225004 T^{5} - 219010372314011513 T^{6} + 479406383930473276 T^{7} + \)\(59\!\cdots\!41\)\( T^{8} )^{2} \))(\( ( 1 - 524 T - 205806 T^{2} + 264984704 T^{3} - 147697266061 T^{4} + 130647793475456 T^{5} - 50028856870954926 T^{6} - 62802236294891999156 T^{7} + \)\(59\!\cdots\!41\)\( T^{8} )^{2} \))(\( ( 1 + 1348 T + 502386 T^{2} + 443006720 T^{3} + 589492824947 T^{4} + 218419590222080 T^{5} + 122123734429373106 T^{6} + \)\(16\!\cdots\!12\)\( T^{7} + \)\(59\!\cdots\!41\)\( T^{8} )^{4} \))(\( ( 1 + 836 T + 205857 T^{2} + 412180604 T^{3} + 243087455521 T^{4} )^{4} \))(\( ( 1 - 1384 T + 1422417 T^{2} - 682365976 T^{3} + 243087455521 T^{4} )^{4} \))(\( ( 1 + 1088 T - 269028 T^{2} - 1109682680 T^{3} - 391267378201 T^{4} + 358084200932532 T^{5} + 285753619209423700 T^{6} - 15705523238748286852 T^{7} - \)\(10\!\cdots\!68\)\( T^{8} - \)\(77\!\cdots\!28\)\( T^{9} + \)\(69\!\cdots\!00\)\( T^{10} + \)\(42\!\cdots\!08\)\( T^{11} - \)\(23\!\cdots\!41\)\( T^{12} - \)\(32\!\cdots\!20\)\( T^{13} - \)\(38\!\cdots\!08\)\( T^{14} + \)\(77\!\cdots\!52\)\( T^{15} + \)\(34\!\cdots\!81\)\( T^{16} )^{2} \))
$83$ (\( 1 + 36 T + 571787 T^{2} \))(\( 1 - 468 T + 571787 T^{2} \))(\( 1 - 36 T + 571787 T^{2} \))(\( 1 + 1092 T + 571787 T^{2} \))(\( 1 - 1092 T + 571787 T^{2} \))(\( 1 + 571787 T^{2} \))(\( 1 + 924 T + 571787 T^{2} \))(\( 1 - 924 T + 571787 T^{2} \))(\( 1 + 1302 T + 571787 T^{2} \))(\( 1 + 204 T + 571787 T^{2} \))(\( 1 - 477 T + 571787 T^{2} \))(\( 1 + 477 T + 571787 T^{2} \))(\( 1 + 571787 T^{2} \))(\( 1 + 1016 T + 1388838 T^{2} + 580935592 T^{3} + 326940373369 T^{4} \))(\( 1 - 1016 T + 1388838 T^{2} - 580935592 T^{3} + 326940373369 T^{4} \))(\( ( 1 + 571787 T^{2} )^{2} \))(\( 1 - 1001450 T^{2} + 326940373369 T^{4} \))(\( 1 - 1944 T + 1957030 T^{2} - 1111553928 T^{3} + 326940373369 T^{4} \))(\( 1 + 519 T + 1583745 T^{2} + 545598870 T^{3} + 905564802315 T^{4} + 169682053778511 T^{5} + 186940255267540403 T^{6} \))(\( 1 - 519 T + 1583745 T^{2} - 545598870 T^{3} + 905564802315 T^{4} - 169682053778511 T^{5} + 186940255267540403 T^{6} \))(\( 1 + 2275682 T^{2} + 1948536513034 T^{4} + 744012322749112658 T^{6} + \)\(10\!\cdots\!61\)\( T^{8} \))(\( 1 + 1482323 T^{2} + 1051851285456 T^{4} + 484631235073456187 T^{6} + \)\(10\!\cdots\!61\)\( T^{8} \))(\( 1 + 1482323 T^{2} + 1051851285456 T^{4} + 484631235073456187 T^{6} + \)\(10\!\cdots\!61\)\( T^{8} \))(\( ( 1 + 367916 T^{2} + 118793240278 T^{4} + 120286594408429004 T^{6} + \)\(10\!\cdots\!61\)\( T^{8} )^{2} \))(\( ( 1 + 2632486 T^{2} + 3636170382349 T^{4} + 3366834686358200962 T^{6} + \)\(22\!\cdots\!84\)\( T^{8} + \)\(11\!\cdots\!78\)\( T^{10} + \)\(38\!\cdots\!89\)\( T^{12} + \)\(91\!\cdots\!74\)\( T^{14} + \)\(11\!\cdots\!21\)\( T^{16} )^{2} \))(\( ( 1 + 571787 T^{2} )^{2} \))(\( ( 1 - 204 T + 571787 T^{2} )^{2} \))(\( ( 1 - 477 T + 571787 T^{2} )^{2} \))(\( ( 1 + 204 T + 571787 T^{2} )^{2} \))(\( ( 1 + 1302 T + 571787 T^{2} )^{2} \))(\( ( 1 - 924 T + 571787 T^{2} )^{2} \))(\( ( 1 + 924 T + 571787 T^{2} )^{2} \))(\( ( 1 - 1302 T + 571787 T^{2} )^{2} \))(\( ( 1 + 571787 T^{2} )^{2} \))(\( ( 1 + 571787 T^{2} )^{2} \))(\( ( 1 - 1092 T + 571787 T^{2} )^{2} \))(\( ( 1 - 36 T + 571787 T^{2} )^{2} \))(\( ( 1 + 468 T + 571787 T^{2} )^{2} \))(\( ( 1 - 468 T + 571787 T^{2} )^{2} \))(\( ( 1 + 36 T + 571787 T^{2} )^{2} \))(\( ( 1 - 1944 T + 1957030 T^{2} - 1111553928 T^{3} + 326940373369 T^{4} )^{2} \))(\( ( 1 + 1944 T + 1957030 T^{2} + 1111553928 T^{3} + 326940373369 T^{4} )^{2} \))(\( ( 1 - 1001450 T^{2} + 326940373369 T^{4} )^{2} \))(\( ( 1 - 1001450 T^{2} + 326940373369 T^{4} )^{2} \))(\( ( 1 + 571787 T^{2} )^{4} \))(\( ( 1 - 1016 T + 1388838 T^{2} - 580935592 T^{3} + 326940373369 T^{4} )^{2} \))(\( ( 1 + 1016 T + 1388838 T^{2} + 580935592 T^{3} + 326940373369 T^{4} )^{2} \))(\( ( 1 - 519 T + 1583745 T^{2} - 545598870 T^{3} + 905564802315 T^{4} - 169682053778511 T^{5} + 186940255267540403 T^{6} )^{2} \))(\( ( 1 + 1482323 T^{2} + 1051851285456 T^{4} + 484631235073456187 T^{6} + \)\(10\!\cdots\!61\)\( T^{8} )^{2} \))(\( ( 1 + 2275682 T^{2} + 1948536513034 T^{4} + 744012322749112658 T^{6} + \)\(10\!\cdots\!61\)\( T^{8} )^{2} \))(\( ( 1 + 367916 T^{2} + 118793240278 T^{4} + 120286594408429004 T^{6} + \)\(10\!\cdots\!61\)\( T^{8} )^{4} \))(\( ( 1 - 350042 T^{2} + 326940373369 T^{4} )^{4} \))(\( ( 1 + 571787 T^{2} )^{8} \))(\( ( 1 + 2632486 T^{2} + 3636170382349 T^{4} + 3366834686358200962 T^{6} + \)\(22\!\cdots\!84\)\( T^{8} + \)\(11\!\cdots\!78\)\( T^{10} + \)\(38\!\cdots\!89\)\( T^{12} + \)\(91\!\cdots\!74\)\( T^{14} + \)\(11\!\cdots\!21\)\( T^{16} )^{2} \))
$89$ (\( 1 + 234 T + 704969 T^{2} \))(\( 1 - 200 T + 704969 T^{2} \))(\( 1 - 234 T + 704969 T^{2} \))(\( 1 - 329 T + 704969 T^{2} \))(\( 1 + 329 T + 704969 T^{2} \))(\( 1 + 704969 T^{2} \))(\( 1 - 744 T + 704969 T^{2} \))(\( 1 + 744 T + 704969 T^{2} \))(\( 1 - 730 T + 704969 T^{2} \))(\( 1 - 354 T + 704969 T^{2} \))(\( 1 - 906 T + 704969 T^{2} \))(\( 1 + 906 T + 704969 T^{2} \))(\( 1 + 704969 T^{2} \))(\( 1 - 388 T + 1217732 T^{2} - 273527972 T^{3} + 496981290961 T^{4} \))(\( 1 + 388 T + 1217732 T^{2} + 273527972 T^{3} + 496981290961 T^{4} \))(\( ( 1 + 704969 T^{2} )^{2} \))(\( 1 - 709626 T^{2} + 496981290961 T^{4} \))(\( 1 - 366 T + 1156090 T^{2} - 258018654 T^{3} + 496981290961 T^{4} \))(\( 1 + 1766 T + 2392827 T^{2} + 2476945964 T^{3} + 1686868857363 T^{4} + 877668959837126 T^{5} + 350356403707485209 T^{6} \))(\( 1 - 1766 T + 2392827 T^{2} - 2476945964 T^{3} + 1686868857363 T^{4} - 877668959837126 T^{5} + 350356403707485209 T^{6} \))(\( 1 - 804000 T^{2} + 717141036962 T^{4} - 399572957932644000 T^{6} + \)\(24\!\cdots\!21\)\( T^{8} \))(\( 1 + 627904 T^{2} + 1046910984158 T^{4} + 312056540519575744 T^{6} + \)\(24\!\cdots\!21\)\( T^{8} \))(\( 1 + 627904 T^{2} + 1046910984158 T^{4} + 312056540519575744 T^{6} + \)\(24\!\cdots\!21\)\( T^{8} \))(\( ( 1 + 2588100 T^{2} + 2668496393378 T^{4} + 1286237279136164100 T^{6} + \)\(24\!\cdots\!21\)\( T^{8} )^{2} \))(\( ( 1 + 2548864 T^{2} + 2033941339900 T^{4} - 61305120471739520 T^{6} - \)\(81\!\cdots\!46\)\( T^{8} - \)\(30\!\cdots\!20\)\( T^{10} + \)\(50\!\cdots\!00\)\( T^{12} + \)\(31\!\cdots\!84\)\( T^{14} + \)\(61\!\cdots\!41\)\( T^{16} )^{2} \))(\( 1 - 704969 T^{2} + 496981290961 T^{4} \))(\( 1 - 354 T - 579653 T^{2} - 249559026 T^{3} + 496981290961 T^{4} \))(\( 1 + 906 T + 115867 T^{2} + 638701914 T^{3} + 496981290961 T^{4} \))(\( 1 + 354 T - 579653 T^{2} + 249559026 T^{3} + 496981290961 T^{4} \))(\( 1 + 730 T - 172069 T^{2} + 514627370 T^{3} + 496981290961 T^{4} \))(\( 1 - 744 T - 151433 T^{2} - 524496936 T^{3} + 496981290961 T^{4} \))(\( 1 + 744 T - 151433 T^{2} + 524496936 T^{3} + 496981290961 T^{4} \))(\( 1 - 730 T - 172069 T^{2} - 514627370 T^{3} + 496981290961 T^{4} \))(\( 1 - 704969 T^{2} + 496981290961 T^{4} \))(\( 1 - 704969 T^{2} + 496981290961 T^{4} \))(\( 1 - 329 T - 596728 T^{2} - 231934801 T^{3} + 496981290961 T^{4} \))(\( 1 + 234 T - 650213 T^{2} + 164962746 T^{3} + 496981290961 T^{4} \))(\( 1 - 200 T - 664969 T^{2} - 140993800 T^{3} + 496981290961 T^{4} \))(\( 1 + 200 T - 664969 T^{2} + 140993800 T^{3} + 496981290961 T^{4} \))(\( 1 - 234 T - 650213 T^{2} - 164962746 T^{3} + 496981290961 T^{4} \))(\( 1 + 366 T - 1022134 T^{2} - 92908368 T^{3} + 745127969775 T^{4} - 65497519280592 T^{5} - 507981474855130774 T^{6} + \)\(12\!\cdots\!94\)\( T^{7} + \)\(24\!\cdots\!21\)\( T^{8} \))(\( 1 - 366 T - 1022134 T^{2} + 92908368 T^{3} + 745127969775 T^{4} + 65497519280592 T^{5} - 507981474855130774 T^{6} - \)\(12\!\cdots\!94\)\( T^{7} + \)\(24\!\cdots\!21\)\( T^{8} \))(\( 1 + 709626 T^{2} + 6587768915 T^{4} + 352670845579490586 T^{6} + \)\(24\!\cdots\!21\)\( T^{8} \))(\( 1 + 709626 T^{2} + 6587768915 T^{4} + 352670845579490586 T^{6} + \)\(24\!\cdots\!21\)\( T^{8} \))(\( ( 1 - 704969 T^{2} + 496981290961 T^{4} )^{2} \))(\( 1 - 388 T - 1067188 T^{2} + 74575928 T^{3} + 879761079727 T^{4} + 52573717386232 T^{5} - 530372469938087668 T^{6} - \)\(13\!\cdots\!92\)\( T^{7} + \)\(24\!\cdots\!21\)\( T^{8} \))(\( 1 + 388 T - 1067188 T^{2} - 74575928 T^{3} + 879761079727 T^{4} - 52573717386232 T^{5} - 530372469938087668 T^{6} + \)\(13\!\cdots\!92\)\( T^{7} + \)\(24\!\cdots\!21\)\( T^{8} \))(\( 1 + 1766 T + 725929 T^{2} - 728159446 T^{3} - 335534377858 T^{4} + 846551335831238 T^{5} + 1249625385561159997 T^{6} + \)\(59\!\cdots\!22\)\( T^{7} - \)\(16\!\cdots\!38\)\( T^{8} - \)\(25\!\cdots\!14\)\( T^{9} + \)\(17\!\cdots\!09\)\( T^{10} + \)\(30\!\cdots\!34\)\( T^{11} + \)\(12\!\cdots\!81\)\( T^{12} \))(\( 1 - 627904 T^{2} - 652647550942 T^{4} - 33246513557593344 T^{6} + \)\(65\!\cdots\!67\)\( T^{8} - \)\(16\!\cdots\!84\)\( T^{10} - \)\(16\!\cdots\!82\)\( T^{12} - \)\(77\!\cdots\!24\)\( T^{14} + \)\(61\!\cdots\!41\)\( T^{16} \))(\( 1 + 804000 T^{2} - 70725036962 T^{4} - 222564522147840000 T^{6} - \)\(53\!\cdots\!77\)\( T^{8} - \)\(11\!\cdots\!00\)\( T^{10} - \)\(17\!\cdots\!02\)\( T^{12} + \)\(98\!\cdots\!00\)\( T^{14} + \)\(61\!\cdots\!41\)\( T^{16} \))(\( ( 1 - 2588100 T^{2} + 4029765216622 T^{4} - 4333860957429273600 T^{6} + \)\(35\!\cdots\!63\)\( T^{8} - \)\(21\!\cdots\!00\)\( T^{10} + \)\(99\!\cdots\!62\)\( T^{12} - \)\(31\!\cdots\!00\)\( T^{14} + \)\(61\!\cdots\!41\)\( T^{16} )^{2} \))(\( ( 1 - 926422 T^{2} + 361276431123 T^{4} - 460414401534671542 T^{6} + \)\(24\!\cdots\!21\)\( T^{8} )^{2} \))(\( ( 1 - 704969 T^{2} + 496981290961 T^{4} )^{4} \))(\( 1 - 2548864 T^{2} + 4462766350596 T^{4} - 5306850100326352640 T^{6} + \)\(51\!\cdots\!26\)\( T^{8} - \)\(40\!\cdots\!68\)\( T^{10} + \)\(27\!\cdots\!80\)\( T^{12} - \)\(17\!\cdots\!04\)\( T^{14} + \)\(11\!\cdots\!27\)\( T^{16} - \)\(87\!\cdots\!44\)\( T^{18} + \)\(67\!\cdots\!80\)\( T^{20} - \)\(49\!\cdots\!08\)\( T^{22} + \)\(31\!\cdots\!66\)\( T^{24} - \)\(16\!\cdots\!40\)\( T^{26} + \)\(67\!\cdots\!56\)\( T^{28} - \)\(19\!\cdots\!44\)\( T^{30} + \)\(37\!\cdots\!81\)\( T^{32} \))
$97$ (\( 1 - 468 T + 912673 T^{2} \))(\( 1 - 1266 T + 912673 T^{2} \))(\( 1 + 468 T + 912673 T^{2} \))(\( 1 + 882 T + 912673 T^{2} \))(\( 1 - 882 T + 912673 T^{2} \))(\( 1 - 1330 T + 912673 T^{2} \))(\( 1 + 168 T + 912673 T^{2} \))(\( 1 - 168 T + 912673 T^{2} \))(\( 1 + 294 T + 912673 T^{2} \))(\( 1 - 286 T + 912673 T^{2} \))(\( 1 + 503 T + 912673 T^{2} \))(\( 1 - 503 T + 912673 T^{2} \))(\( 1 + 912673 T^{2} \))(\( 1 - 488 T + 1167280 T^{2} - 445384424 T^{3} + 832972004929 T^{4} \))(\( 1 + 488 T + 1167280 T^{2} + 445384424 T^{3} + 832972004929 T^{4} \))(\( ( 1 + 912673 T^{2} )^{2} \))(\( ( 1 + 798 T + 912673 T^{2} )^{2} \))(\( 1 + 808 T + 903054 T^{2} + 737439784 T^{3} + 832972004929 T^{4} \))(\( 1 - 19 T + 2168419 T^{2} + 10094878 T^{3} + 1979057473987 T^{4} - 15826468093651 T^{5} + 760231058654565217 T^{6} \))(\( 1 + 19 T + 2168419 T^{2} - 10094878 T^{3} + 1979057473987 T^{4} + 15826468093651 T^{5} + 760231058654565217 T^{6} \))(\( 1 + 567808 T^{2} + 211724872834 T^{4} + 472968168174725632 T^{6} + \)\(69\!\cdots\!41\)\( T^{8} \))(\( ( 1 + 1505 T + 1992044 T^{2} + 1373572865 T^{3} + 832972004929 T^{4} )^{2} \))(\( ( 1 - 1505 T + 1992044 T^{2} - 1373572865 T^{3} + 832972004929 T^{4} )^{2} \))(\( ( 1 + 2268304 T^{2} + 2510084445826 T^{4} + 1889433730668470416 T^{6} + \)\(69\!\cdots\!41\)\( T^{8} )^{2} \))(\( ( 1 - 2978570 T^{2} + 5898756336049 T^{4} - 7901916867899068322 T^{6} + \)\(83\!\cdots\!24\)\( T^{8} - \)\(65\!\cdots\!38\)\( T^{10} + \)\(40\!\cdots\!09\)\( T^{12} - \)\(17\!\cdots\!30\)\( T^{14} + \)\(48\!\cdots\!81\)\( T^{16} )^{2} \))(\( ( 1 + 912673 T^{2} )^{2} \))(\( ( 1 + 286 T + 912673 T^{2} )^{2} \))(\( ( 1 + 503 T + 912673 T^{2} )^{2} \))(\( ( 1 - 286 T + 912673 T^{2} )^{2} \))(\( ( 1 + 294 T + 912673 T^{2} )^{2} \))(\( ( 1 - 168 T + 912673 T^{2} )^{2} \))(\( ( 1 + 168 T + 912673 T^{2} )^{2} \))(\( ( 1 - 294 T + 912673 T^{2} )^{2} \))(\( ( 1 + 1330 T + 912673 T^{2} )^{2} \))(\( ( 1 - 1330 T + 912673 T^{2} )^{2} \))(\( ( 1 - 882 T + 912673 T^{2} )^{2} \))(\( ( 1 + 468 T + 912673 T^{2} )^{2} \))(\( ( 1 + 1266 T + 912673 T^{2} )^{2} \))(\( ( 1 - 1266 T + 912673 T^{2} )^{2} \))(\( ( 1 - 468 T + 912673 T^{2} )^{2} \))(\( ( 1 + 808 T + 903054 T^{2} + 737439784 T^{3} + 832972004929 T^{4} )^{2} \))(\( ( 1 - 808 T + 903054 T^{2} - 737439784 T^{3} + 832972004929 T^{4} )^{2} \))(\( ( 1 - 798 T + 912673 T^{2} )^{4} \))(\( ( 1 + 798 T + 912673 T^{2} )^{4} \))(\( ( 1 + 912673 T^{2} )^{4} \))(\( ( 1 + 488 T + 1167280 T^{2} + 445384424 T^{3} + 832972004929 T^{4} )^{2} \))(\( ( 1 - 488 T + 1167280 T^{2} - 445384424 T^{3} + 832972004929 T^{4} )^{2} \))(\( ( 1 + 19 T + 2168419 T^{2} - 10094878 T^{3} + 1979057473987 T^{4} + 15826468093651 T^{5} + 760231058654565217 T^{6} )^{2} \))(\( ( 1 + 1505 T + 1992044 T^{2} + 1373572865 T^{3} + 832972004929 T^{4} )^{4} \))(\( ( 1 + 567808 T^{2} + 211724872834 T^{4} + 472968168174725632 T^{6} + \)\(69\!\cdots\!41\)\( T^{8} )^{2} \))(\( ( 1 + 2268304 T^{2} + 2510084445826 T^{4} + 1889433730668470416 T^{6} + \)\(69\!\cdots\!41\)\( T^{8} )^{4} \))(\( ( 1 - 1504778 T^{2} + 832972004929 T^{4} )^{4} \))(\( ( 1 - 912673 T^{2} )^{8} \))(\( ( 1 - 2978570 T^{2} + 5898756336049 T^{4} - 7901916867899068322 T^{6} + \)\(83\!\cdots\!24\)\( T^{8} - \)\(65\!\cdots\!38\)\( T^{10} + \)\(40\!\cdots\!09\)\( T^{12} - \)\(17\!\cdots\!30\)\( T^{14} + \)\(48\!\cdots\!81\)\( T^{16} )^{2} \))
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