Properties

Label 539.2
Level 539
Weight 2
Dimension 10662
Nonzero newspaces 16
Newform subspaces 70
Sturm bound 47040
Trace bound 2

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Defining parameters

Level: \( N \) = \( 539 = 7^{2} \cdot 11 \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 16 \)
Newform subspaces: \( 70 \)
Sturm bound: \(47040\)
Trace bound: \(2\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(539))\).

Total New Old
Modular forms 12360 11534 826
Cusp forms 11161 10662 499
Eisenstein series 1199 872 327

Trace form

\( 10662q - 119q^{2} - 121q^{3} - 127q^{4} - 125q^{5} - 142q^{6} - 152q^{7} - 237q^{8} - 149q^{9} + O(q^{10}) \) \( 10662q - 119q^{2} - 121q^{3} - 127q^{4} - 125q^{5} - 142q^{6} - 152q^{7} - 237q^{8} - 149q^{9} - 164q^{10} - 151q^{11} - 344q^{12} - 146q^{13} - 180q^{14} - 265q^{15} - 205q^{16} - 164q^{17} - 221q^{18} - 168q^{19} - 232q^{20} - 194q^{21} - 302q^{22} - 331q^{23} - 288q^{24} - 205q^{25} - 242q^{26} - 223q^{27} - 236q^{28} - 282q^{29} - 322q^{30} - 197q^{31} - 289q^{32} - 222q^{33} - 416q^{34} - 222q^{35} - 361q^{36} - 163q^{37} - 204q^{38} - 182q^{39} - 126q^{40} - 158q^{41} - 138q^{42} - 246q^{43} - 162q^{44} - 284q^{45} - 70q^{46} - 160q^{47} - 126q^{48} - 68q^{49} - 463q^{50} - 154q^{51} - 86q^{52} - 192q^{53} - 226q^{54} - 161q^{55} - 276q^{56} - 348q^{57} - 210q^{58} - 199q^{59} - 2q^{60} - 124q^{61} - 206q^{62} - 174q^{63} - 197q^{64} - 176q^{65} + 77q^{66} - 349q^{67} - 130q^{68} - 95q^{69} - 210q^{70} - 171q^{71} + 27q^{72} - 146q^{73} - 216q^{74} + 4q^{75} + 132q^{76} - 153q^{77} - 262q^{78} - 178q^{79} + 56q^{80} + 178q^{81} - 20q^{82} - 18q^{83} + 292q^{84} - 110q^{85} + 162q^{86} + 168q^{87} + 117q^{88} - 225q^{89} + 472q^{90} - 76q^{91} - 164q^{92} + 185q^{93} - 58q^{94} - 72q^{95} + 406q^{96} - 199q^{97} + 156q^{98} - 553q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(539))\)

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
539.2.a \(\chi_{539}(1, \cdot)\) 539.2.a.a 1 1
539.2.a.b 1
539.2.a.c 1
539.2.a.d 1
539.2.a.e 2
539.2.a.f 2
539.2.a.g 3
539.2.a.h 3
539.2.a.i 3
539.2.a.j 3
539.2.a.k 4
539.2.a.l 10
539.2.b \(\chi_{539}(538, \cdot)\) 539.2.b.a 8 1
539.2.b.b 12
539.2.b.c 16
539.2.e \(\chi_{539}(67, \cdot)\) 539.2.e.a 2 2
539.2.e.b 2
539.2.e.c 2
539.2.e.d 2
539.2.e.e 2
539.2.e.f 2
539.2.e.g 2
539.2.e.h 2
539.2.e.i 4
539.2.e.j 4
539.2.e.k 4
539.2.e.l 6
539.2.e.m 6
539.2.e.n 8
539.2.e.o 20
539.2.f \(\chi_{539}(148, \cdot)\) 539.2.f.a 4 4
539.2.f.b 4
539.2.f.c 8
539.2.f.d 8
539.2.f.e 16
539.2.f.f 16
539.2.f.g 20
539.2.f.h 20
539.2.f.i 48
539.2.i \(\chi_{539}(362, \cdot)\) 539.2.i.a 4 2
539.2.i.b 8
539.2.i.c 12
539.2.i.d 16
539.2.i.e 32
539.2.j \(\chi_{539}(78, \cdot)\) 539.2.j.a 144 6
539.2.j.b 144
539.2.m \(\chi_{539}(195, \cdot)\) 539.2.m.a 48 4
539.2.m.b 96
539.2.p \(\chi_{539}(76, \cdot)\) 539.2.p.a 324 6
539.2.q \(\chi_{539}(214, \cdot)\) 539.2.q.a 8 8
539.2.q.b 16
539.2.q.c 16
539.2.q.d 16
539.2.q.e 32
539.2.q.f 32
539.2.q.g 32
539.2.q.h 40
539.2.q.i 96
539.2.r \(\chi_{539}(23, \cdot)\) 539.2.r.a 276 12
539.2.r.b 276
539.2.s \(\chi_{539}(19, \cdot)\) 539.2.s.a 16 8
539.2.s.b 16
539.2.s.c 16
539.2.s.d 48
539.2.s.e 192
539.2.v \(\chi_{539}(15, \cdot)\) 539.2.v.a 1296 24
539.2.w \(\chi_{539}(10, \cdot)\) 539.2.w.a 648 12
539.2.z \(\chi_{539}(6, \cdot)\) 539.2.z.a 1296 24
539.2.bc \(\chi_{539}(4, \cdot)\) 539.2.bc.a 2592 48
539.2.bf \(\chi_{539}(17, \cdot)\) 539.2.bf.a 2592 48

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(539))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(539)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(11))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(49))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(77))\)\(^{\oplus 2}\)

Hecke Characteristic Polynomials

$p$ $F_p(T)$
$2$ (\( 1 + 2 T + 2 T^{2} \))(\( 1 + 2 T^{2} \))(\( 1 + 2 T^{2} \))(\( 1 - T + 2 T^{2} \))(\( ( 1 + T + 2 T^{2} )^{2} \))(\( 1 - T^{2} + 4 T^{4} \))(\( 1 + 3 T^{2} - T^{3} + 6 T^{4} + 8 T^{6} \))(\( 1 + T^{2} + 3 T^{3} + 2 T^{4} + 8 T^{6} \))(\( 1 + T^{2} + 3 T^{3} + 2 T^{4} + 8 T^{6} \))(\( 1 + 3 T^{2} - T^{3} + 6 T^{4} + 8 T^{6} \))(\( ( 1 - T - 2 T^{3} + 4 T^{4} )^{2} \))(\( ( 1 - T + T^{2} + T^{3} - 2 T^{4} + 4 T^{5} - 4 T^{6} + 4 T^{7} + 8 T^{8} - 16 T^{9} + 32 T^{10} )^{2} \))(\( ( 1 - 2 T^{2} )^{8} \))(\( ( 1 - 4 T^{2} + 13 T^{4} - 29 T^{6} + 52 T^{8} - 64 T^{10} + 64 T^{12} )^{2} \))(\( ( 1 + 6 T^{4} + 33 T^{8} + 96 T^{12} + 256 T^{16} )^{2} \))(\( 1 + T - T^{2} + 2 T^{3} + 4 T^{4} \))(\( 1 + T - T^{2} + 2 T^{3} + 4 T^{4} \))(\( 1 - 2 T^{2} + 4 T^{4} \))(\( 1 - 2 T^{2} + 4 T^{4} \))(\( 1 - 2 T^{2} + 4 T^{4} \))(\( 1 - 2 T^{2} + 4 T^{4} \))(\( 1 - 2 T + 2 T^{2} - 4 T^{3} + 4 T^{4} \))(\( 1 - 2 T + 2 T^{2} - 4 T^{3} + 4 T^{4} \))(\( ( 1 - 3 T + 5 T^{2} - 6 T^{3} + 4 T^{4} )( 1 + 3 T + 5 T^{2} + 6 T^{3} + 4 T^{4} ) \))(\( ( 1 - 3 T + 5 T^{2} - 6 T^{3} + 4 T^{4} )( 1 + 3 T + 5 T^{2} + 6 T^{3} + 4 T^{4} ) \))(\( ( 1 - T - T^{2} - 2 T^{3} + 4 T^{4} )^{2} \))(\( 1 - T^{2} + 6 T^{3} - T^{4} - 3 T^{5} + 23 T^{6} - 6 T^{7} - 4 T^{8} + 48 T^{9} - 16 T^{10} + 64 T^{12} \))(\( 1 - 3 T^{2} - 2 T^{3} + 3 T^{4} + 3 T^{5} - T^{6} + 6 T^{7} + 12 T^{8} - 16 T^{9} - 48 T^{10} + 64 T^{12} \))(\( ( 1 + T + T^{2} - 4 T^{3} - 6 T^{4} - 8 T^{5} + 4 T^{6} + 8 T^{7} + 16 T^{8} )^{2} \))(\( ( 1 + T + 3 T^{3} + 4 T^{4} - T^{5} - T^{6} + 2 T^{7} - 12 T^{8} - 28 T^{9} - 28 T^{10} - 56 T^{11} - 48 T^{12} + 16 T^{13} - 16 T^{14} - 32 T^{15} + 256 T^{16} + 384 T^{17} + 512 T^{19} + 1024 T^{20} )^{2} \))(\( 1 - 2 T + 2 T^{2} - 5 T^{3} + 11 T^{4} - 10 T^{5} + 8 T^{6} - 16 T^{7} + 16 T^{8} \))(\( 1 - 2 T + 2 T^{2} - 5 T^{3} + 11 T^{4} - 10 T^{5} + 8 T^{6} - 16 T^{7} + 16 T^{8} \))(\( ( 1 + T - T^{2} - 3 T^{3} - T^{4} - 6 T^{5} - 4 T^{6} + 8 T^{7} + 16 T^{8} )^{2} \))(\( 1 + T - 3 T^{2} - 5 T^{3} + 19 T^{5} + 21 T^{6} - 20 T^{7} - 51 T^{8} - 40 T^{9} + 84 T^{10} + 152 T^{11} - 160 T^{13} - 192 T^{14} + 128 T^{15} + 256 T^{16} \))(\( 1 + 3 T + 6 T^{2} + 12 T^{3} + 18 T^{4} + 17 T^{5} + 15 T^{6} - T^{7} - 58 T^{8} - 119 T^{9} - 185 T^{10} - 292 T^{11} - 242 T^{12} + 33 T^{13} + 312 T^{14} + 878 T^{15} + 1785 T^{16} + 1756 T^{17} + 1248 T^{18} + 264 T^{19} - 3872 T^{20} - 9344 T^{21} - 11840 T^{22} - 15232 T^{23} - 14848 T^{24} - 512 T^{25} + 15360 T^{26} + 34816 T^{27} + 73728 T^{28} + 98304 T^{29} + 98304 T^{30} + 98304 T^{31} + 65536 T^{32} \))(\( ( 1 + T + T^{2} + 3 T^{3} + 6 T^{4} + 13 T^{5} + 15 T^{6} + 20 T^{7} + 37 T^{8} + 40 T^{9} + 60 T^{10} + 104 T^{11} + 96 T^{12} + 96 T^{13} + 64 T^{14} + 128 T^{15} + 256 T^{16} )^{2} \))(\( 1 - 3 T - 2 T^{2} + 20 T^{3} - 27 T^{4} - 28 T^{5} + 135 T^{6} - 138 T^{7} - 123 T^{8} + 529 T^{9} - 610 T^{10} - 69 T^{11} + 1376 T^{12} - 2438 T^{13} + 1729 T^{14} + 1995 T^{15} - 7652 T^{16} + 10251 T^{17} - 2865 T^{18} - 15971 T^{19} + 35031 T^{20} - 31942 T^{21} - 11460 T^{22} + 82008 T^{23} - 122432 T^{24} + 63840 T^{25} + 110656 T^{26} - 312064 T^{27} + 352256 T^{28} - 35328 T^{29} - 624640 T^{30} + 1083392 T^{31} - 503808 T^{32} - 1130496 T^{33} + 2211840 T^{34} - 917504 T^{35} - 1769472 T^{36} + 2621440 T^{37} - 524288 T^{38} - 1572864 T^{39} + 1048576 T^{40} \))(\( 1 - 3 T - 2 T^{2} + 20 T^{3} - 27 T^{4} - 28 T^{5} + 135 T^{6} - 138 T^{7} - 123 T^{8} + 529 T^{9} - 610 T^{10} - 69 T^{11} + 1376 T^{12} - 2438 T^{13} + 1729 T^{14} + 1995 T^{15} - 7652 T^{16} + 10251 T^{17} - 2865 T^{18} - 15971 T^{19} + 35031 T^{20} - 31942 T^{21} - 11460 T^{22} + 82008 T^{23} - 122432 T^{24} + 63840 T^{25} + 110656 T^{26} - 312064 T^{27} + 352256 T^{28} - 35328 T^{29} - 624640 T^{30} + 1083392 T^{31} - 503808 T^{32} - 1130496 T^{33} + 2211840 T^{34} - 917504 T^{35} - 1769472 T^{36} + 2621440 T^{37} - 524288 T^{38} - 1572864 T^{39} + 1048576 T^{40} \))(\( ( 1 - T - T^{2} - 2 T^{3} + 4 T^{4} )( 1 + T - T^{2} + 2 T^{3} + 4 T^{4} ) \))(\( ( 1 + 2 T^{2} )^{4}( 1 - 2 T^{2} + 4 T^{4} )^{2} \))(\( 1 + 4 T^{2} + 3 T^{4} - 6 T^{6} + T^{8} + 25 T^{10} + 37 T^{12} + 100 T^{14} + 16 T^{16} - 384 T^{18} + 768 T^{20} + 4096 T^{22} + 4096 T^{24} \))(\( ( 1 + 2 T^{2} + 4 T^{4} )^{8} \))(\( 1 + 2 T + 2 T^{2} - 6 T^{3} - 17 T^{4} - 24 T^{5} - T^{6} + 47 T^{7} + 103 T^{8} + 94 T^{9} - 4 T^{10} - 192 T^{11} - 272 T^{12} - 192 T^{13} + 128 T^{14} + 256 T^{15} + 256 T^{16} \))(\( 1 - T + 4 T^{2} - 7 T^{3} + 14 T^{4} - 34 T^{5} + 48 T^{6} - 115 T^{7} + 169 T^{8} - 299 T^{9} + 523 T^{10} - 758 T^{11} + 1321 T^{12} - 1850 T^{13} + 2863 T^{14} - 4328 T^{15} + 5781 T^{16} - 8656 T^{17} + 11452 T^{18} - 14800 T^{19} + 21136 T^{20} - 24256 T^{21} + 33472 T^{22} - 38272 T^{23} + 43264 T^{24} - 58880 T^{25} + 49152 T^{26} - 69632 T^{27} + 57344 T^{28} - 57344 T^{29} + 65536 T^{30} - 32768 T^{31} + 65536 T^{32} \))(\( 1 - T + 4 T^{2} - 7 T^{3} + 14 T^{4} - 34 T^{5} + 48 T^{6} - 115 T^{7} + 169 T^{8} - 299 T^{9} + 523 T^{10} - 758 T^{11} + 1321 T^{12} - 1850 T^{13} + 2863 T^{14} - 4328 T^{15} + 5781 T^{16} - 8656 T^{17} + 11452 T^{18} - 14800 T^{19} + 21136 T^{20} - 24256 T^{21} + 33472 T^{22} - 38272 T^{23} + 43264 T^{24} - 58880 T^{25} + 49152 T^{26} - 69632 T^{27} + 57344 T^{28} - 57344 T^{29} + 65536 T^{30} - 32768 T^{31} + 65536 T^{32} \))(\( ( 1 - T + 2 T^{2} - 5 T^{3} + 5 T^{4} + T^{5} + 6 T^{6} + 5 T^{7} - 21 T^{8} + 10 T^{9} + 24 T^{10} + 8 T^{11} + 80 T^{12} - 160 T^{13} + 128 T^{14} - 128 T^{15} + 256 T^{16} )^{2} \))(\( ( 1 - T + 2 T^{2} - 5 T^{3} + 5 T^{4} + T^{5} + 6 T^{6} + 5 T^{7} - 21 T^{8} + 10 T^{9} + 24 T^{10} + 8 T^{11} + 80 T^{12} - 160 T^{13} + 128 T^{14} - 128 T^{15} + 256 T^{16} )( 1 + T + 2 T^{2} + 5 T^{3} + 5 T^{4} - T^{5} + 6 T^{6} - 5 T^{7} - 21 T^{8} - 10 T^{9} + 24 T^{10} - 8 T^{11} + 80 T^{12} + 160 T^{13} + 128 T^{14} + 128 T^{15} + 256 T^{16} ) \))(\( ( 1 - 3 T + 5 T^{2} - 6 T^{3} + 4 T^{4} )^{4}( 1 + 5 T + 13 T^{2} + 25 T^{3} + 39 T^{4} + 50 T^{5} + 52 T^{6} + 40 T^{7} + 16 T^{8} )^{2} \))(\( ( 1 - T^{2} + 4 T^{4} )^{4}( 1 - 4 T + 4 T^{2} + 7 T^{3} - 21 T^{4} + 14 T^{5} + 16 T^{6} - 32 T^{7} + 16 T^{8} )^{2} \))
$3$ (\( 1 - T + 3 T^{2} \))(\( 1 + T + 3 T^{2} \))(\( 1 - 3 T + 3 T^{2} \))(\( 1 + 2 T + 3 T^{2} \))(\( 1 + 4 T^{2} + 9 T^{4} \))(\( 1 + 2 T + 2 T^{2} + 6 T^{3} + 9 T^{4} \))(\( 1 + 3 T + 9 T^{2} + 17 T^{3} + 27 T^{4} + 27 T^{5} + 27 T^{6} \))(\( 1 + T + 5 T^{2} + 3 T^{3} + 15 T^{4} + 9 T^{5} + 27 T^{6} \))(\( 1 - T + 5 T^{2} - 3 T^{3} + 15 T^{4} - 9 T^{5} + 27 T^{6} \))(\( 1 - 3 T + 9 T^{2} - 17 T^{3} + 27 T^{4} - 27 T^{5} + 27 T^{6} \))(\( 1 + 5 T^{2} + 20 T^{4} + 45 T^{6} + 81 T^{8} \))(\( 1 + 4 T^{2} + 26 T^{4} + 60 T^{6} + 201 T^{8} + 400 T^{10} + 1809 T^{12} + 4860 T^{14} + 18954 T^{16} + 26244 T^{18} + 59049 T^{20} \))(\( 1 - 113 T^{8} + 6561 T^{16} \))(\( ( 1 - 11 T^{2} + 61 T^{4} - 219 T^{6} + 549 T^{8} - 891 T^{10} + 729 T^{12} )^{2} \))(\( ( 1 - 8 T^{2} + 40 T^{4} - 168 T^{6} + 562 T^{8} - 1512 T^{10} + 3240 T^{12} - 5832 T^{14} + 6561 T^{16} )^{2} \))(\( 1 + 2 T + T^{2} + 6 T^{3} + 9 T^{4} \))(\( 1 - 2 T + T^{2} - 6 T^{3} + 9 T^{4} \))(\( ( 1 + 3 T^{2} )( 1 + 3 T + 3 T^{2} ) \))(\( 1 + T - 2 T^{2} + 3 T^{3} + 9 T^{4} \))(\( 1 - T - 2 T^{2} - 3 T^{3} + 9 T^{4} \))(\( ( 1 - 3 T + 3 T^{2} )( 1 + 3 T^{2} ) \))(\( 1 + T - 2 T^{2} + 3 T^{3} + 9 T^{4} \))(\( 1 - T - 2 T^{2} - 3 T^{3} + 9 T^{4} \))(\( 1 + 2 T + 2 T^{2} - 8 T^{3} - 17 T^{4} - 24 T^{5} + 18 T^{6} + 54 T^{7} + 81 T^{8} \))(\( 1 - 2 T + 2 T^{2} + 8 T^{3} - 17 T^{4} + 24 T^{5} + 18 T^{6} - 54 T^{7} + 81 T^{8} \))(\( 1 - 4 T^{2} + 7 T^{4} - 36 T^{6} + 81 T^{8} \))(\( 1 + T - 4 T^{2} - T^{3} + 7 T^{4} - 6 T^{5} - 21 T^{6} - 18 T^{7} + 63 T^{8} - 27 T^{9} - 324 T^{10} + 243 T^{11} + 729 T^{12} \))(\( 1 - 3 T + 7 T^{3} + 3 T^{4} - 18 T^{5} + 19 T^{6} - 54 T^{7} + 27 T^{8} + 189 T^{9} - 729 T^{11} + 729 T^{12} \))(\( 1 - 5 T^{2} + 5 T^{4} - 10 T^{6} + 94 T^{8} - 90 T^{10} + 405 T^{12} - 3645 T^{14} + 6561 T^{16} \))(\( 1 - 4 T^{2} - 10 T^{4} + 16 T^{6} + 235 T^{8} - 352 T^{10} + 392 T^{12} - 3356 T^{14} - 10707 T^{16} - 13008 T^{18} + 326374 T^{20} - 117072 T^{22} - 867267 T^{24} - 2446524 T^{26} + 2571912 T^{28} - 20785248 T^{30} + 124888635 T^{32} + 76527504 T^{34} - 430467210 T^{36} - 1549681956 T^{38} + 3486784401 T^{40} \))(\( 1 + T - 2 T^{2} - 5 T^{3} + T^{4} - 15 T^{5} - 18 T^{6} + 27 T^{7} + 81 T^{8} \))(\( 1 - T - 2 T^{2} + 5 T^{3} + T^{4} + 15 T^{5} - 18 T^{6} - 27 T^{7} + 81 T^{8} \))(\( ( 1 - 3 T^{2} + 9 T^{4} - 27 T^{6} + 81 T^{8} )^{2} \))(\( ( 1 - 2 T + T^{2} - 6 T^{3} + 19 T^{4} - 18 T^{5} + 9 T^{6} - 54 T^{7} + 81 T^{8} )^{2} \))(\( 1 - 2 T + 2 T^{2} + 4 T^{3} - 8 T^{4} - 4 T^{5} + 42 T^{6} - 104 T^{7} + 161 T^{8} - 8 T^{9} - 278 T^{10} + 122 T^{11} + 1632 T^{12} - 3996 T^{13} + 4420 T^{14} + 908 T^{15} - 3527 T^{16} + 2724 T^{17} + 39780 T^{18} - 107892 T^{19} + 132192 T^{20} + 29646 T^{21} - 202662 T^{22} - 17496 T^{23} + 1056321 T^{24} - 2047032 T^{25} + 2480058 T^{26} - 708588 T^{27} - 4251528 T^{28} + 6377292 T^{29} + 9565938 T^{30} - 28697814 T^{31} + 43046721 T^{32} \))(\( 1 - 10 T^{2} + 40 T^{4} - 90 T^{6} + 209 T^{8} - 810 T^{10} + 2440 T^{12} - 2340 T^{14} - 3959 T^{16} - 21060 T^{18} + 197640 T^{20} - 590490 T^{22} + 1371249 T^{24} - 5314410 T^{26} + 21257640 T^{28} - 47829690 T^{30} + 43046721 T^{32} \))(\( 1 + 4 T + 4 T^{2} - 7 T^{3} - 36 T^{4} - 58 T^{5} + 64 T^{6} + 411 T^{7} + 655 T^{8} - 35 T^{9} - 2574 T^{10} - 5165 T^{11} - 317 T^{12} + 18621 T^{13} + 41003 T^{14} + 23972 T^{15} - 86001 T^{16} - 237903 T^{17} - 161698 T^{18} + 458046 T^{19} + 1407307 T^{20} + 1374138 T^{21} - 1455282 T^{22} - 6423381 T^{23} - 6966081 T^{24} + 5825196 T^{25} + 29891187 T^{26} + 40724127 T^{27} - 2079837 T^{28} - 101662695 T^{29} - 151992126 T^{30} - 6200145 T^{31} + 348093855 T^{32} + 655266753 T^{33} + 306110016 T^{34} - 832236606 T^{35} - 1549681956 T^{36} - 903981141 T^{37} + 1549681956 T^{38} + 4649045868 T^{39} + 3486784401 T^{40} \))(\( 1 - 4 T + 4 T^{2} + 7 T^{3} - 36 T^{4} + 58 T^{5} + 64 T^{6} - 411 T^{7} + 655 T^{8} + 35 T^{9} - 2574 T^{10} + 5165 T^{11} - 317 T^{12} - 18621 T^{13} + 41003 T^{14} - 23972 T^{15} - 86001 T^{16} + 237903 T^{17} - 161698 T^{18} - 458046 T^{19} + 1407307 T^{20} - 1374138 T^{21} - 1455282 T^{22} + 6423381 T^{23} - 6966081 T^{24} - 5825196 T^{25} + 29891187 T^{26} - 40724127 T^{27} - 2079837 T^{28} + 101662695 T^{29} - 151992126 T^{30} + 6200145 T^{31} + 348093855 T^{32} - 655266753 T^{33} + 306110016 T^{34} + 832236606 T^{35} - 1549681956 T^{36} + 903981141 T^{37} + 1549681956 T^{38} - 4649045868 T^{39} + 3486784401 T^{40} \))(\( ( 1 + 3 T^{2} + 9 T^{4} )^{2} \))(\( ( 1 + T^{2} - 8 T^{4} + 9 T^{6} + 81 T^{8} )^{2} \))(\( ( 1 - 3 T + 10 T^{2} - 21 T^{3} + 43 T^{4} - 78 T^{5} + 141 T^{6} - 234 T^{7} + 387 T^{8} - 567 T^{9} + 810 T^{10} - 729 T^{11} + 729 T^{12} )^{2} \))(\( 1 + 113 T^{8} + 6208 T^{16} + 741393 T^{24} + 43046721 T^{32} \))(\( 1 + T + 3 T^{2} + 8 T^{3} + 8 T^{4} - 7 T^{5} + 6 T^{6} - 56 T^{7} - 137 T^{8} - 168 T^{9} + 54 T^{10} - 189 T^{11} + 648 T^{12} + 1944 T^{13} + 2187 T^{14} + 2187 T^{15} + 6561 T^{16} \))(\( ( 1 + 2 T + 3 T^{2} - 10 T^{3} - 30 T^{4} - 52 T^{5} - T^{6} + 150 T^{7} + 379 T^{8} + 450 T^{9} - 9 T^{10} - 1404 T^{11} - 2430 T^{12} - 2430 T^{13} + 2187 T^{14} + 4374 T^{15} + 6561 T^{16} )^{2} \))(\( ( 1 - 2 T + 3 T^{2} + 10 T^{3} - 30 T^{4} + 52 T^{5} - T^{6} - 150 T^{7} + 379 T^{8} - 450 T^{9} - 9 T^{10} + 1404 T^{11} - 2430 T^{12} + 2430 T^{13} + 2187 T^{14} - 4374 T^{15} + 6561 T^{16} )^{2} \))(\( ( 1 - 3 T + 6 T^{2} - 9 T^{3} + 9 T^{4} - 27 T^{5} + 54 T^{6} - 81 T^{7} + 81 T^{8} )^{2}( 1 + 3 T + 6 T^{2} + 9 T^{3} + 9 T^{4} + 27 T^{5} + 54 T^{6} + 81 T^{7} + 81 T^{8} )^{2} \))(\( ( 1 - 3 T^{2} + 27 T^{6} - 81 T^{8} + 243 T^{10} - 2187 T^{14} + 6561 T^{16} )^{2} \))(\( 1 - 16 T^{2} + 129 T^{4} - 686 T^{6} + 2516 T^{8} - 5738 T^{10} + 2361 T^{12} + 41912 T^{14} - 189533 T^{16} + 377208 T^{18} + 191241 T^{20} - 4183002 T^{22} + 16507476 T^{24} - 40507614 T^{26} + 68555889 T^{28} - 76527504 T^{30} + 43046721 T^{32} \))(\( 1 + 14 T^{2} + 99 T^{4} + 484 T^{6} + 1976 T^{8} + 7402 T^{10} + 25431 T^{12} + 79232 T^{14} + 237067 T^{16} + 713088 T^{18} + 2059911 T^{20} + 5396058 T^{22} + 12964536 T^{24} + 28579716 T^{26} + 52612659 T^{28} + 66961566 T^{30} + 43046721 T^{32} \))
$5$ (\( 1 + T + 5 T^{2} \))(\( 1 + 3 T + 5 T^{2} \))(\( 1 - T + 5 T^{2} \))(\( 1 - 2 T + 5 T^{2} \))(\( 1 + 8 T^{2} + 25 T^{4} \))(\( ( 1 - 2 T + 5 T^{2} )^{2} \))(\( 1 + 6 T + 24 T^{2} + 61 T^{3} + 120 T^{4} + 150 T^{5} + 125 T^{6} \))(\( 1 + 2 T + 8 T^{2} + 15 T^{3} + 40 T^{4} + 50 T^{5} + 125 T^{6} \))(\( 1 - 2 T + 8 T^{2} - 15 T^{3} + 40 T^{4} - 50 T^{5} + 125 T^{6} \))(\( 1 - 6 T + 24 T^{2} - 61 T^{3} + 120 T^{4} - 150 T^{5} + 125 T^{6} \))(\( 1 - 3 T^{2} + 48 T^{4} - 75 T^{6} + 625 T^{8} \))(\( 1 + 16 T^{2} + 130 T^{4} + 936 T^{6} + 6049 T^{8} + 32432 T^{10} + 151225 T^{12} + 585000 T^{14} + 2031250 T^{16} + 6250000 T^{18} + 9765625 T^{20} \))(\( 1 + 1151 T^{8} + 390625 T^{16} \))(\( ( 1 - 8 T^{2} + 56 T^{4} - 407 T^{6} + 1400 T^{8} - 5000 T^{10} + 15625 T^{12} )^{2} \))(\( ( 1 - 16 T^{2} + 112 T^{4} - 400 T^{6} + 625 T^{8} )^{4} \))(\( 1 - 2 T - T^{2} - 10 T^{3} + 25 T^{4} \))(\( 1 + 2 T - T^{2} + 10 T^{3} + 25 T^{4} \))(\( 1 + T - 4 T^{2} + 5 T^{3} + 25 T^{4} \))(\( 1 + 3 T + 4 T^{2} + 15 T^{3} + 25 T^{4} \))(\( 1 - 3 T + 4 T^{2} - 15 T^{3} + 25 T^{4} \))(\( 1 - T - 4 T^{2} - 5 T^{3} + 25 T^{4} \))(\( 1 - T - 4 T^{2} - 5 T^{3} + 25 T^{4} \))(\( 1 + T - 4 T^{2} + 5 T^{3} + 25 T^{4} \))(\( ( 1 - 2 T - T^{2} - 10 T^{3} + 25 T^{4} )^{2} \))(\( ( 1 + 2 T - T^{2} + 10 T^{3} + 25 T^{4} )^{2} \))(\( 1 - 8 T^{2} + 39 T^{4} - 200 T^{6} + 625 T^{8} \))(\( 1 + 2 T - 4 T^{2} - 14 T^{3} - 6 T^{4} + 10 T^{5} + 55 T^{6} + 50 T^{7} - 150 T^{8} - 1750 T^{9} - 2500 T^{10} + 6250 T^{11} + 15625 T^{12} \))(\( 1 - 6 T + 12 T^{2} - 22 T^{3} + 90 T^{4} - 174 T^{5} + 191 T^{6} - 870 T^{7} + 2250 T^{8} - 2750 T^{9} + 7500 T^{10} - 18750 T^{11} + 15625 T^{12} \))(\( 1 + 3 T^{2} - 39 T^{4} - 6 T^{6} + 1454 T^{8} - 150 T^{10} - 24375 T^{12} + 46875 T^{14} + 390625 T^{16} \))(\( 1 - 16 T^{2} + 126 T^{4} - 208 T^{6} - 4125 T^{8} + 39456 T^{10} - 126736 T^{12} - 234144 T^{14} + 3263549 T^{16} - 9137968 T^{18} + 7873974 T^{20} - 228449200 T^{22} + 2039718125 T^{24} - 3658500000 T^{26} - 49506250000 T^{28} + 385312500000 T^{30} - 1007080078125 T^{32} - 1269531250000 T^{34} + 19226074218750 T^{36} - 61035156250000 T^{38} + 95367431640625 T^{40} \))(\( 1 - 5 T + 10 T^{2} - 25 T^{3} + 75 T^{4} - 125 T^{5} + 250 T^{6} - 625 T^{7} + 625 T^{8} \))(\( 1 + 5 T + 10 T^{2} + 25 T^{3} + 75 T^{4} + 125 T^{5} + 250 T^{6} + 625 T^{7} + 625 T^{8} \))(\( ( 1 - 5 T^{2} + 25 T^{4} - 125 T^{6} + 625 T^{8} )^{2} \))(\( 1 + 3 T - 3 T^{2} - 30 T^{3} - 39 T^{4} + 150 T^{5} + 428 T^{6} - 231 T^{7} - 2169 T^{8} - 1155 T^{9} + 10700 T^{10} + 18750 T^{11} - 24375 T^{12} - 93750 T^{13} - 46875 T^{14} + 234375 T^{15} + 390625 T^{16} \))(\( 1 - 5 T - T^{2} + 66 T^{3} - 156 T^{4} - 267 T^{5} + 1789 T^{6} - 1241 T^{7} - 10249 T^{8} + 25094 T^{9} + 25181 T^{10} - 188691 T^{11} + 137316 T^{12} + 851484 T^{13} - 1968914 T^{14} - 1709452 T^{15} + 12417791 T^{16} - 8547260 T^{17} - 49222850 T^{18} + 106435500 T^{19} + 85822500 T^{20} - 589659375 T^{21} + 393453125 T^{22} + 1960468750 T^{23} - 4003515625 T^{24} - 2423828125 T^{25} + 17470703125 T^{26} - 13037109375 T^{27} - 38085937500 T^{28} + 80566406250 T^{29} - 6103515625 T^{30} - 152587890625 T^{31} + 152587890625 T^{32} \))(\( 1 - 17 T^{2} + 111 T^{4} - 286 T^{6} - 21 T^{8} - 3178 T^{10} + 50124 T^{12} - 225389 T^{14} + 762551 T^{16} - 5634725 T^{18} + 31327500 T^{20} - 49656250 T^{22} - 8203125 T^{24} - 2792968750 T^{26} + 27099609375 T^{28} - 103759765625 T^{30} + 152587890625 T^{32} \))(\( 1 - 4 T + 6 T^{2} + 34 T^{4} - 196 T^{5} + 326 T^{6} - 61 T^{7} + 70 T^{8} - 1763 T^{9} + 696 T^{10} + 4523 T^{11} + 4009 T^{12} + 18008 T^{13} - 217551 T^{14} + 361448 T^{15} + 392301 T^{16} - 564885 T^{17} - 3328232 T^{18} + 2614620 T^{19} + 8488381 T^{20} + 13073100 T^{21} - 83205800 T^{22} - 70610625 T^{23} + 245188125 T^{24} + 1129525000 T^{25} - 3399234375 T^{26} + 1406875000 T^{27} + 1566015625 T^{28} + 8833984375 T^{29} + 6796875000 T^{30} - 86083984375 T^{31} + 17089843750 T^{32} - 74462890625 T^{33} + 1989746093750 T^{34} - 5981445312500 T^{35} + 5187988281250 T^{36} + 22888183593750 T^{38} - 76293945312500 T^{39} + 95367431640625 T^{40} \))(\( 1 + 4 T + 6 T^{2} + 34 T^{4} + 196 T^{5} + 326 T^{6} + 61 T^{7} + 70 T^{8} + 1763 T^{9} + 696 T^{10} - 4523 T^{11} + 4009 T^{12} - 18008 T^{13} - 217551 T^{14} - 361448 T^{15} + 392301 T^{16} + 564885 T^{17} - 3328232 T^{18} - 2614620 T^{19} + 8488381 T^{20} - 13073100 T^{21} - 83205800 T^{22} + 70610625 T^{23} + 245188125 T^{24} - 1129525000 T^{25} - 3399234375 T^{26} - 1406875000 T^{27} + 1566015625 T^{28} - 8833984375 T^{29} + 6796875000 T^{30} + 86083984375 T^{31} + 17089843750 T^{32} + 74462890625 T^{33} + 1989746093750 T^{34} + 5981445312500 T^{35} + 5187988281250 T^{36} + 22888183593750 T^{38} + 76293945312500 T^{39} + 95367431640625 T^{40} \))(\( ( 1 + 5 T^{2} + 25 T^{4} )^{2} \))(\( ( 1 + 5 T^{2} )^{4}( 1 - 5 T^{2} + 25 T^{4} )^{2} \))(\( ( 1 + 4 T^{2} - 4 T^{4} - 12 T^{5} - 167 T^{6} - 60 T^{7} - 100 T^{8} + 2500 T^{10} + 15625 T^{12} )^{2} \))(\( 1 - 1151 T^{8} + 934176 T^{16} - 449609375 T^{24} + 152587890625 T^{32} \))(\( ( 1 - 5 T + 15 T^{2} - 25 T^{3} + 25 T^{4} )^{2}( 1 + 5 T + 10 T^{2} + 25 T^{3} + 75 T^{4} + 125 T^{5} + 250 T^{6} + 625 T^{7} + 625 T^{8} ) \))(\( 1 - 3 T + 12 T^{2} - 51 T^{3} + 138 T^{4} - 474 T^{5} + 1189 T^{6} - 3123 T^{7} + 8088 T^{8} - 16326 T^{9} + 38041 T^{10} - 69267 T^{11} + 129643 T^{12} - 221502 T^{13} + 294093 T^{14} - 572844 T^{15} + 907531 T^{16} - 2864220 T^{17} + 7352325 T^{18} - 27687750 T^{19} + 81026875 T^{20} - 216459375 T^{21} + 594390625 T^{22} - 1275468750 T^{23} + 3159375000 T^{24} - 6099609375 T^{25} + 11611328125 T^{26} - 23144531250 T^{27} + 33691406250 T^{28} - 62255859375 T^{29} + 73242187500 T^{30} - 91552734375 T^{31} + 152587890625 T^{32} \))(\( 1 + 3 T + 12 T^{2} + 51 T^{3} + 138 T^{4} + 474 T^{5} + 1189 T^{6} + 3123 T^{7} + 8088 T^{8} + 16326 T^{9} + 38041 T^{10} + 69267 T^{11} + 129643 T^{12} + 221502 T^{13} + 294093 T^{14} + 572844 T^{15} + 907531 T^{16} + 2864220 T^{17} + 7352325 T^{18} + 27687750 T^{19} + 81026875 T^{20} + 216459375 T^{21} + 594390625 T^{22} + 1275468750 T^{23} + 3159375000 T^{24} + 6099609375 T^{25} + 11611328125 T^{26} + 23144531250 T^{27} + 33691406250 T^{28} + 62255859375 T^{29} + 73242187500 T^{30} + 91552734375 T^{31} + 152587890625 T^{32} \))(\( ( 1 + 5 T^{2} - 125 T^{6} - 625 T^{8} - 3125 T^{10} + 78125 T^{14} + 390625 T^{16} )^{2} \))(\( ( 1 - 5 T + 10 T^{2} - 25 T^{3} + 75 T^{4} - 125 T^{5} + 250 T^{6} - 625 T^{7} + 625 T^{8} )^{2}( 1 + 5 T + 10 T^{2} + 25 T^{3} + 75 T^{4} + 125 T^{5} + 250 T^{6} + 625 T^{7} + 625 T^{8} )^{2} \))(\( 1 - 5 T^{2} + 115 T^{4} - 370 T^{6} + 5405 T^{8} - 8675 T^{10} + 148025 T^{12} - 36400 T^{14} + 3456025 T^{16} - 910000 T^{18} + 92515625 T^{20} - 135546875 T^{22} + 2111328125 T^{24} - 3613281250 T^{26} + 28076171875 T^{28} - 30517578125 T^{30} + 152587890625 T^{32} \))(\( 1 - 20 T^{2} + 175 T^{4} - 670 T^{6} - 820 T^{8} + 18925 T^{10} - 35050 T^{12} - 562825 T^{14} + 4761025 T^{16} - 14070625 T^{18} - 21906250 T^{20} + 295703125 T^{22} - 320312500 T^{24} - 6542968750 T^{26} + 42724609375 T^{28} - 122070312500 T^{30} + 152587890625 T^{32} \))
$7$ 1
$11$ (\( 1 - T \))(\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( ( 1 + T )^{2} \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 + T )^{3} \))(\( ( 1 - T )^{3} \))(\( ( 1 + T )^{4} \))(\( ( 1 - T )^{10} \))(\( ( 1 - 11 T^{2} )^{4} \))(\( ( 1 - 4 T + 21 T^{2} - 64 T^{3} + 231 T^{4} - 484 T^{5} + 1331 T^{6} )^{2} \))(\( ( 1 + 12 T^{2} + 64 T^{3} + 38 T^{4} + 704 T^{5} + 1452 T^{6} + 14641 T^{8} )^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( ( 1 - T + T^{2} )^{2} \))(\( ( 1 - T + T^{2} )^{2} \))(\( ( 1 - T + T^{2} )^{2} \))(\( ( 1 - T + T^{2} )^{3} \))(\( ( 1 + T + T^{2} )^{3} \))(\( ( 1 - T + T^{2} )^{4} \))(\( ( 1 + T + T^{2} )^{10} \))(\( 1 + 4 T + 6 T^{2} + 44 T^{3} + 121 T^{4} \))(\( 1 + 4 T + 6 T^{2} + 44 T^{3} + 121 T^{4} \))(\( 1 + 4 T + 5 T^{2} - 24 T^{3} - 151 T^{4} - 264 T^{5} + 605 T^{6} + 5324 T^{7} + 14641 T^{8} \))(\( 1 - 5 T + 26 T^{2} - 75 T^{3} + 251 T^{4} - 825 T^{5} + 3146 T^{6} - 6655 T^{7} + 14641 T^{8} \))(\( 1 + 3 T + 19 T^{2} - 76 T^{3} - 286 T^{4} - 2245 T^{5} + 1052 T^{6} + 7668 T^{7} + 114073 T^{8} + 84348 T^{9} + 127292 T^{10} - 2988095 T^{11} - 4187326 T^{12} - 12239876 T^{13} + 33659659 T^{14} + 58461513 T^{15} + 214358881 T^{16} \))(\( ( 1 + 3 T + 8 T^{2} + T^{3} - 85 T^{4} + 11 T^{5} + 968 T^{6} + 3993 T^{7} + 14641 T^{8} )^{2} \))(\( 1 - 9 T + 18 T^{2} + 163 T^{3} - 1179 T^{4} + 2000 T^{5} + 10919 T^{6} - 69348 T^{7} + 111017 T^{8} + 434169 T^{9} - 2780127 T^{10} + 4775859 T^{11} + 13433057 T^{12} - 92302188 T^{13} + 159865079 T^{14} + 322102000 T^{15} - 2088670419 T^{16} + 3176408873 T^{17} + 3858459858 T^{18} - 21221529219 T^{19} + 25937424601 T^{20} \))(\( 1 - 9 T + 18 T^{2} + 163 T^{3} - 1179 T^{4} + 2000 T^{5} + 10919 T^{6} - 69348 T^{7} + 111017 T^{8} + 434169 T^{9} - 2780127 T^{10} + 4775859 T^{11} + 13433057 T^{12} - 92302188 T^{13} + 159865079 T^{14} + 322102000 T^{15} - 2088670419 T^{16} + 3176408873 T^{17} + 3858459858 T^{18} - 21221529219 T^{19} + 25937424601 T^{20} \))(\( 1 + 4 T + 5 T^{2} + 44 T^{3} + 121 T^{4} \))(\( ( 1 - 6 T + 25 T^{2} - 66 T^{3} + 121 T^{4} )^{2} \))(\( 1 + 4 T - 5 T^{2} - 44 T^{3} - 46 T^{4} - 20 T^{5} - 29 T^{6} - 220 T^{7} - 5566 T^{8} - 58564 T^{9} - 73205 T^{10} + 644204 T^{11} + 1771561 T^{12} \))(\( ( 1 + 11 T^{2} + 121 T^{4} )^{4} \))(\( 1 - 4 T + 10 T^{2} + 64 T^{3} - 261 T^{4} + 704 T^{5} + 1210 T^{6} - 5324 T^{7} + 14641 T^{8} \))(\( 1 + 5 T - T^{2} - 20 T^{3} + 50 T^{4} + 265 T^{5} + 1266 T^{6} - 1690 T^{7} - 28761 T^{8} - 18590 T^{9} + 153186 T^{10} + 352715 T^{11} + 732050 T^{12} - 3221020 T^{13} - 1771561 T^{14} + 97435855 T^{15} + 214358881 T^{16} \))(\( 1 + 5 T - T^{2} - 20 T^{3} + 50 T^{4} + 265 T^{5} + 1266 T^{6} - 1690 T^{7} - 28761 T^{8} - 18590 T^{9} + 153186 T^{10} + 352715 T^{11} + 732050 T^{12} - 3221020 T^{13} - 1771561 T^{14} + 97435855 T^{15} + 214358881 T^{16} \))(\( 1 - 4 T + 11 T^{2} - 68 T^{3} + 272 T^{4} - 824 T^{5} + 3597 T^{6} - 14008 T^{7} + 41391 T^{8} - 154088 T^{9} + 435237 T^{10} - 1096744 T^{11} + 3982352 T^{12} - 10951468 T^{13} + 19487171 T^{14} - 77948684 T^{15} + 214358881 T^{16} \))(\( 1 - 4 T + 11 T^{2} - 68 T^{3} + 272 T^{4} - 824 T^{5} + 3597 T^{6} - 14008 T^{7} + 41391 T^{8} - 154088 T^{9} + 435237 T^{10} - 1096744 T^{11} + 3982352 T^{12} - 10951468 T^{13} + 19487171 T^{14} - 77948684 T^{15} + 214358881 T^{16} \))(\( ( 1 + T + 21 T^{2} + 11 T^{3} + 121 T^{4} )^{4} \))(\( ( 1 - T - 20 T^{2} + T^{3} + 309 T^{4} + 11 T^{5} - 2420 T^{6} - 1331 T^{7} + 14641 T^{8} )^{2} \))
$13$ (\( 1 + 4 T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 - 4 T + 13 T^{2} \))(\( 1 + 4 T + 13 T^{2} \))(\( ( 1 + 13 T^{2} )^{2} \))(\( 1 + 2 T + 22 T^{2} + 26 T^{3} + 169 T^{4} \))(\( 1 + 3 T + 33 T^{2} + 79 T^{3} + 429 T^{4} + 507 T^{5} + 2197 T^{6} \))(\( 1 + 11 T + 75 T^{2} + 321 T^{3} + 975 T^{4} + 1859 T^{5} + 2197 T^{6} \))(\( 1 - 11 T + 75 T^{2} - 321 T^{3} + 975 T^{4} - 1859 T^{5} + 2197 T^{6} \))(\( 1 - 3 T + 33 T^{2} - 79 T^{3} + 429 T^{4} - 507 T^{5} + 2197 T^{6} \))(\( 1 - 4 T^{2} + 70 T^{4} - 676 T^{6} + 28561 T^{8} \))(\( 1 + 58 T^{2} + 1813 T^{4} + 38552 T^{6} + 641042 T^{8} + 8931996 T^{10} + 108336098 T^{12} + 1101083672 T^{14} + 8751004717 T^{16} + 47312381818 T^{18} + 137858491849 T^{20} \))(\( ( 1 + 13 T^{2} )^{8} \))(\( ( 1 + 67 T^{2} + 1997 T^{4} + 33649 T^{6} + 337493 T^{8} + 1913587 T^{10} + 4826809 T^{12} )^{2} \))(\( ( 1 + 32 T^{2} + 1004 T^{4} + 17280 T^{6} + 282006 T^{8} + 2920320 T^{10} + 28675244 T^{12} + 154457888 T^{14} + 815730721 T^{16} )^{2} \))(\( ( 1 - 4 T + 13 T^{2} )^{2} \))(\( ( 1 + 4 T + 13 T^{2} )^{2} \))(\( ( 1 - 4 T + 13 T^{2} )^{2} \))(\( ( 1 + 4 T + 13 T^{2} )^{2} \))(\( ( 1 - 4 T + 13 T^{2} )^{2} \))(\( ( 1 + 4 T + 13 T^{2} )^{2} \))(\( ( 1 + 4 T + 13 T^{2} )^{2} \))(\( ( 1 - 4 T + 13 T^{2} )^{2} \))(\( ( 1 - 2 T + 22 T^{2} - 26 T^{3} + 169 T^{4} )^{2} \))(\( ( 1 + 2 T + 22 T^{2} + 26 T^{3} + 169 T^{4} )^{2} \))(\( ( 1 + 13 T^{2} )^{4} \))(\( ( 1 - 11 T + 75 T^{2} - 321 T^{3} + 975 T^{4} - 1859 T^{5} + 2197 T^{6} )^{2} \))(\( ( 1 + 3 T + 33 T^{2} + 79 T^{3} + 429 T^{4} + 507 T^{5} + 2197 T^{6} )^{2} \))(\( ( 1 - 4 T^{2} + 70 T^{4} - 676 T^{6} + 28561 T^{8} )^{2} \))(\( ( 1 + 58 T^{2} + 1813 T^{4} + 38552 T^{6} + 641042 T^{8} + 8931996 T^{10} + 108336098 T^{12} + 1101083672 T^{14} + 8751004717 T^{16} + 47312381818 T^{18} + 137858491849 T^{20} )^{2} \))(\( 1 + 5 T + 27 T^{2} + 115 T^{3} + 584 T^{4} + 1495 T^{5} + 4563 T^{6} + 10985 T^{7} + 28561 T^{8} \))(\( 1 - 5 T + 27 T^{2} - 115 T^{3} + 584 T^{4} - 1495 T^{5} + 4563 T^{6} - 10985 T^{7} + 28561 T^{8} \))(\( ( 1 - 13 T^{2} + 169 T^{4} - 2197 T^{6} + 28561 T^{8} )^{2} \))(\( 1 + 5 T + 35 T^{2} + 90 T^{3} + 611 T^{4} + 670 T^{5} + 4380 T^{6} - 8865 T^{7} + 38151 T^{8} - 115245 T^{9} + 740220 T^{10} + 1471990 T^{11} + 17450771 T^{12} + 33416370 T^{13} + 168938315 T^{14} + 313742585 T^{15} + 815730721 T^{16} \))(\( 1 - 7 T - 13 T^{2} + 114 T^{3} + 302 T^{4} - 619 T^{5} - 3203 T^{6} - 11659 T^{7} - 57039 T^{8} + 415732 T^{9} + 983197 T^{10} - 802283 T^{11} - 7060468 T^{12} - 40515806 T^{13} - 160505050 T^{14} + 179149458 T^{15} + 5116354083 T^{16} + 2328942954 T^{17} - 27125353450 T^{18} - 89013225782 T^{19} - 201654026548 T^{20} - 297882061919 T^{21} + 4745704128373 T^{22} + 26086566469444 T^{23} - 46528464595119 T^{24} - 123637858189807 T^{25} - 441560749392347 T^{26} - 1109347283908903 T^{27} + 7036021706989262 T^{28} + 34527762151516842 T^{29} - 51185893014090757 T^{30} - 358301251098635299 T^{31} + 665416609183179841 T^{32} \))(\( 1 - 11 T^{2} + 181 T^{4} - 2530 T^{6} + 14683 T^{8} + 85700 T^{10} - 6503276 T^{12} + 108858649 T^{14} - 1762257337 T^{16} + 18397111681 T^{18} - 185740065836 T^{20} + 413657531300 T^{22} + 11977374176443 T^{24} - 348781984377970 T^{26} + 4216953407169061 T^{28} - 43311140242692179 T^{30} + 665416609183179841 T^{32} \))(\( 1 + 3 T - 43 T^{2} - 134 T^{3} + 821 T^{4} + 2358 T^{5} - 8214 T^{6} - 13981 T^{7} + 34225 T^{8} - 210683 T^{9} + 530678 T^{10} + 7423005 T^{11} - 19055443 T^{12} - 143388028 T^{13} + 341606674 T^{14} + 2118917174 T^{15} - 3269529933 T^{16} - 22491908641 T^{17} + 1874698053 T^{18} + 113796309083 T^{19} + 276056004714 T^{20} + 1479352018079 T^{21} + 316823970957 T^{22} - 49414723284277 T^{23} - 93381044416413 T^{24} + 786739114285982 T^{25} + 1648870168523266 T^{26} - 8997386112554476 T^{27} - 15544110257364403 T^{28} + 78717251868275865 T^{29} + 73158468737443622 T^{30} - 377577728296897271 T^{31} + 797376963316912225 T^{32} - 4234496865266289193 T^{33} - 32341609632133959846 T^{34} + \)\(12\!\cdots\!06\)\( T^{35} + \)\(54\!\cdots\!61\)\( T^{36} - \)\(11\!\cdots\!22\)\( T^{37} - \)\(48\!\cdots\!47\)\( T^{38} + \)\(43\!\cdots\!31\)\( T^{39} + \)\(19\!\cdots\!01\)\( T^{40} \))(\( 1 - 3 T - 43 T^{2} + 134 T^{3} + 821 T^{4} - 2358 T^{5} - 8214 T^{6} + 13981 T^{7} + 34225 T^{8} + 210683 T^{9} + 530678 T^{10} - 7423005 T^{11} - 19055443 T^{12} + 143388028 T^{13} + 341606674 T^{14} - 2118917174 T^{15} - 3269529933 T^{16} + 22491908641 T^{17} + 1874698053 T^{18} - 113796309083 T^{19} + 276056004714 T^{20} - 1479352018079 T^{21} + 316823970957 T^{22} + 49414723284277 T^{23} - 93381044416413 T^{24} - 786739114285982 T^{25} + 1648870168523266 T^{26} + 8997386112554476 T^{27} - 15544110257364403 T^{28} - 78717251868275865 T^{29} + 73158468737443622 T^{30} + 377577728296897271 T^{31} + 797376963316912225 T^{32} + 4234496865266289193 T^{33} - 32341609632133959846 T^{34} - \)\(12\!\cdots\!06\)\( T^{35} + \)\(54\!\cdots\!61\)\( T^{36} + \)\(11\!\cdots\!22\)\( T^{37} - \)\(48\!\cdots\!47\)\( T^{38} - \)\(43\!\cdots\!31\)\( T^{39} + \)\(19\!\cdots\!01\)\( T^{40} \))(\( ( 1 + 13 T^{2} )^{4} \))(\( ( 1 - 14 T^{2} + 169 T^{4} )^{4} \))(\( ( 1 + 67 T^{2} + 1997 T^{4} + 33649 T^{6} + 337493 T^{8} + 1913587 T^{10} + 4826809 T^{12} )^{2} \))(\( ( 1 + 13 T^{2} )^{16} \))(\( ( 1 - 5 T + 27 T^{2} - 115 T^{3} + 584 T^{4} - 1495 T^{5} + 4563 T^{6} - 10985 T^{7} + 28561 T^{8} )^{2} \))(\( ( 1 + 5 T + 35 T^{2} + 90 T^{3} + 611 T^{4} + 670 T^{5} + 4380 T^{6} - 8865 T^{7} + 38151 T^{8} - 115245 T^{9} + 740220 T^{10} + 1471990 T^{11} + 17450771 T^{12} + 33416370 T^{13} + 168938315 T^{14} + 313742585 T^{15} + 815730721 T^{16} )^{2} \))(\( ( 1 - 5 T + 35 T^{2} - 90 T^{3} + 611 T^{4} - 670 T^{5} + 4380 T^{6} + 8865 T^{7} + 38151 T^{8} + 115245 T^{9} + 740220 T^{10} - 1471990 T^{11} + 17450771 T^{12} - 33416370 T^{13} + 168938315 T^{14} - 313742585 T^{15} + 815730721 T^{16} )^{2} \))(\( ( 1 - 13 T^{2} + 169 T^{4} - 2197 T^{6} + 28561 T^{8} )^{4} \))(\( ( 1 - 13 T^{2} + 169 T^{4} - 2197 T^{6} + 28561 T^{8} )^{4} \))(\( 1 - 37 T^{2} + 905 T^{4} - 17590 T^{6} + 252535 T^{8} - 3649636 T^{10} + 49961932 T^{12} - 672618165 T^{14} + 9550335135 T^{16} - 113672469885 T^{18} + 1426962739852 T^{20} - 17616095891524 T^{22} + 206000557627735 T^{24} - 2424930871623910 T^{26} + 21084767035845305 T^{28} - 145682926270873693 T^{30} + 665416609183179841 T^{32} \))(\( 1 - 37 T^{2} + 905 T^{4} - 17590 T^{6} + 252535 T^{8} - 3649636 T^{10} + 49961932 T^{12} - 672618165 T^{14} + 9550335135 T^{16} - 113672469885 T^{18} + 1426962739852 T^{20} - 17616095891524 T^{22} + 206000557627735 T^{24} - 2424930871623910 T^{26} + 21084767035845305 T^{28} - 145682926270873693 T^{30} + 665416609183179841 T^{32} \))
$17$ (\( 1 - 2 T + 17 T^{2} \))(\( 1 - 6 T + 17 T^{2} \))(\( 1 + 2 T + 17 T^{2} \))(\( 1 + 4 T + 17 T^{2} \))(\( ( 1 + 17 T^{2} )^{2} \))(\( 1 - 2 T + 30 T^{2} - 34 T^{3} + 289 T^{4} \))(\( 1 - 3 T + 15 T^{2} + 25 T^{3} + 255 T^{4} - 867 T^{5} + 4913 T^{6} \))(\( 1 + 3 T + 49 T^{2} + 95 T^{3} + 833 T^{4} + 867 T^{5} + 4913 T^{6} \))(\( 1 - 3 T + 49 T^{2} - 95 T^{3} + 833 T^{4} - 867 T^{5} + 4913 T^{6} \))(\( 1 + 3 T + 15 T^{2} - 25 T^{3} + 255 T^{4} + 867 T^{5} + 4913 T^{6} \))(\( 1 + 48 T^{2} + 1086 T^{4} + 13872 T^{6} + 83521 T^{8} \))(\( 1 + 34 T^{2} + 701 T^{4} + 9880 T^{6} + 138722 T^{8} + 2623628 T^{10} + 40090658 T^{12} + 825187480 T^{14} + 16920435869 T^{16} + 237175752994 T^{18} + 2015993900449 T^{20} \))(\( ( 1 + 17 T^{2} )^{8} \))(\( ( 1 + 63 T^{2} + 2151 T^{4} + 44845 T^{6} + 621639 T^{8} + 5261823 T^{10} + 24137569 T^{12} )^{2} \))(\( ( 1 + 32 T^{2} + 844 T^{4} + 19072 T^{6} + 396598 T^{8} + 5511808 T^{10} + 70491724 T^{12} + 772402208 T^{14} + 6975757441 T^{16} )^{2} \))(\( 1 + 4 T - T^{2} + 68 T^{3} + 289 T^{4} \))(\( 1 - 4 T - T^{2} - 68 T^{3} + 289 T^{4} \))(\( 1 - 2 T - 13 T^{2} - 34 T^{3} + 289 T^{4} \))(\( 1 - 6 T + 19 T^{2} - 102 T^{3} + 289 T^{4} \))(\( 1 + 6 T + 19 T^{2} + 102 T^{3} + 289 T^{4} \))(\( 1 + 2 T - 13 T^{2} + 34 T^{3} + 289 T^{4} \))(\( 1 + 2 T - 13 T^{2} + 34 T^{3} + 289 T^{4} \))(\( 1 - 2 T - 13 T^{2} - 34 T^{3} + 289 T^{4} \))(\( 1 - 2 T - 26 T^{2} + 8 T^{3} + 543 T^{4} + 136 T^{5} - 7514 T^{6} - 9826 T^{7} + 83521 T^{8} \))(\( 1 + 2 T - 26 T^{2} - 8 T^{3} + 543 T^{4} - 136 T^{5} - 7514 T^{6} + 9826 T^{7} + 83521 T^{8} \))(\( ( 1 - 17 T^{2} + 289 T^{4} )^{2} \))(\( 1 + 3 T - 40 T^{2} - 43 T^{3} + 1283 T^{4} + 524 T^{5} - 24567 T^{6} + 8908 T^{7} + 370787 T^{8} - 211259 T^{9} - 3340840 T^{10} + 4259571 T^{11} + 24137569 T^{12} \))(\( 1 + 3 T - 6 T^{2} + 95 T^{3} + 45 T^{4} - 1038 T^{5} + 4025 T^{6} - 17646 T^{7} + 13005 T^{8} + 466735 T^{9} - 501126 T^{10} + 4259571 T^{11} + 24137569 T^{12} \))(\( 1 - 48 T^{2} + 1218 T^{4} - 24384 T^{6} + 430019 T^{8} - 7046976 T^{10} + 101728578 T^{12} - 1158603312 T^{14} + 6975757441 T^{16} \))(\( 1 - 34 T^{2} + 455 T^{4} - 4074 T^{6} + 16759 T^{8} - 116412 T^{10} - 8651758 T^{12} + 119483244 T^{14} + 4411110157 T^{16} - 251163258374 T^{18} + 6811596907001 T^{20} - 72586181670086 T^{22} + 368420331422797 T^{24} + 2884035046393836 T^{26} - 60352565246231278 T^{28} - 234685881939068988 T^{30} + 9764166073733564599 T^{32} - \)\(68\!\cdots\!46\)\( T^{34} + \)\(22\!\cdots\!55\)\( T^{36} - \)\(47\!\cdots\!06\)\( T^{38} + \)\(40\!\cdots\!01\)\( T^{40} \))(\( 1 - 4 T - T^{2} - 58 T^{3} + 509 T^{4} - 986 T^{5} - 289 T^{6} - 19652 T^{7} + 83521 T^{8} \))(\( 1 + 4 T - T^{2} + 58 T^{3} + 509 T^{4} + 986 T^{5} - 289 T^{6} + 19652 T^{7} + 83521 T^{8} \))(\( ( 1 - 17 T^{2} + 289 T^{4} - 4913 T^{6} + 83521 T^{8} )^{2} \))(\( 1 - 11 T + 39 T^{2} - 139 T^{3} + 1249 T^{4} - 7484 T^{5} + 34098 T^{6} - 128922 T^{7} + 457683 T^{8} - 2191674 T^{9} + 9854322 T^{10} - 36768892 T^{11} + 104317729 T^{12} - 197360123 T^{13} + 941365191 T^{14} - 4513725403 T^{15} + 6975757441 T^{16} \))(\( 1 - 5 T + 13 T^{2} - 163 T^{3} + 1572 T^{4} - 7139 T^{5} + 24321 T^{6} - 178695 T^{7} + 1262499 T^{8} - 5104293 T^{9} + 17336797 T^{10} - 107294017 T^{11} + 637972982 T^{12} - 2309382396 T^{13} + 7576691718 T^{14} - 42485576390 T^{15} + 218631742615 T^{16} - 722254798630 T^{17} + 2189663906502 T^{18} - 11345995711548 T^{19} + 53284141429622 T^{20} - 152342161095569 T^{21} + 418468133826493 T^{22} - 2094488816223189 T^{23} + 8806886793505059 T^{24} - 21191060590631415 T^{25} + 49030987652820129 T^{26} - 244667067740191987 T^{27} + 915882156925184292 T^{28} - 1614446219363667731 T^{29} + 2188911745272212077 T^{30} - 14312115257549078965 T^{31} + 48661191875666868481 T^{32} \))(\( 1 - 43 T^{2} + 583 T^{4} - 383 T^{6} - 27269 T^{8} - 635210 T^{10} - 7507988 T^{12} + 1235180660 T^{14} - 32244214213 T^{16} + 356967210740 T^{18} - 627074665748 T^{20} - 15332425204490 T^{22} - 190221929658629 T^{24} - 772125663871967 T^{26} + 339668764304950663 T^{28} - 7240246542054239947 T^{30} + 48661191875666868481 T^{32} \))(\( 1 + 7 T - 49 T^{2} - 558 T^{3} + 10 T^{4} + 15151 T^{5} + 34958 T^{6} - 137152 T^{7} - 378531 T^{8} + 439375 T^{9} - 10963670 T^{10} - 62889589 T^{11} + 206553285 T^{12} + 2178372619 T^{13} + 2526246652 T^{14} - 23199219474 T^{15} - 88126600807 T^{16} - 160262010186 T^{17} - 350007166614 T^{18} + 3511267753695 T^{19} + 31679639310395 T^{20} + 59691551812815 T^{21} - 101152071151446 T^{22} - 787367256043818 T^{23} - 7360421826001447 T^{24} - 32939574164695218 T^{25} + 60977452873668988 T^{26} + 893870529779994587 T^{27} + 1440865614801743685 T^{28} - 7457942813279089733 T^{29} - 22102691846535687830 T^{30} + 15058214440166249375 T^{31} - \)\(22\!\cdots\!91\)\( T^{32} - \)\(13\!\cdots\!24\)\( T^{33} + \)\(58\!\cdots\!82\)\( T^{34} + \)\(43\!\cdots\!43\)\( T^{35} + \)\(48\!\cdots\!10\)\( T^{36} - \)\(46\!\cdots\!66\)\( T^{37} - \)\(68\!\cdots\!41\)\( T^{38} + \)\(16\!\cdots\!71\)\( T^{39} + \)\(40\!\cdots\!01\)\( T^{40} \))(\( 1 - 7 T - 49 T^{2} + 558 T^{3} + 10 T^{4} - 15151 T^{5} + 34958 T^{6} + 137152 T^{7} - 378531 T^{8} - 439375 T^{9} - 10963670 T^{10} + 62889589 T^{11} + 206553285 T^{12} - 2178372619 T^{13} + 2526246652 T^{14} + 23199219474 T^{15} - 88126600807 T^{16} + 160262010186 T^{17} - 350007166614 T^{18} - 3511267753695 T^{19} + 31679639310395 T^{20} - 59691551812815 T^{21} - 101152071151446 T^{22} + 787367256043818 T^{23} - 7360421826001447 T^{24} + 32939574164695218 T^{25} + 60977452873668988 T^{26} - 893870529779994587 T^{27} + 1440865614801743685 T^{28} + 7457942813279089733 T^{29} - 22102691846535687830 T^{30} - 15058214440166249375 T^{31} - \)\(22\!\cdots\!91\)\( T^{32} + \)\(13\!\cdots\!24\)\( T^{33} + \)\(58\!\cdots\!82\)\( T^{34} - \)\(43\!\cdots\!43\)\( T^{35} + \)\(48\!\cdots\!10\)\( T^{36} + \)\(46\!\cdots\!66\)\( T^{37} - \)\(68\!\cdots\!41\)\( T^{38} - \)\(16\!\cdots\!71\)\( T^{39} + \)\(40\!\cdots\!01\)\( T^{40} \))(\( ( 1 - 17 T^{2} + 289 T^{4} )^{2} \))(\( ( 1 - 17 T^{2} + 289 T^{4} )^{4} \))(\( 1 - 63 T^{2} + 1818 T^{4} - 45823 T^{6} + 1179927 T^{8} - 23396904 T^{10} + 390708825 T^{12} - 6761705256 T^{14} + 98548682967 T^{16} - 1106055824287 T^{18} + 12681927027738 T^{20} - 127007615728287 T^{22} + 582622237229761 T^{24} \))(\( ( 1 - 17 T^{2} + 289 T^{4} )^{8} \))(\( 1 - 4 T + 17 T^{2} + 120 T^{3} - 740 T^{4} + 3144 T^{5} - 649 T^{6} - 49990 T^{7} + 275299 T^{8} - 849830 T^{9} - 187561 T^{10} + 15446472 T^{11} - 61805540 T^{12} + 170382840 T^{13} + 410338673 T^{14} - 1641354692 T^{15} + 6975757441 T^{16} \))(\( 1 + 11 T + 82 T^{2} + 151 T^{3} - 1257 T^{4} - 14573 T^{5} - 43518 T^{6} + 93859 T^{7} + 1568504 T^{8} + 5547395 T^{9} - 2761766 T^{10} - 97790693 T^{11} - 344680251 T^{12} + 129416362 T^{13} + 3449705386 T^{14} + 9240382008 T^{15} + 336684367 T^{16} + 157086494136 T^{17} + 996964856554 T^{18} + 635822586506 T^{19} - 28788039243771 T^{20} - 138848799990901 T^{21} - 66662317386854 T^{22} + 2276310702906835 T^{23} + 10941503449238264 T^{24} + 11130539500131923 T^{25} - 87732022559739582 T^{26} - 499444344891135709 T^{27} - 732356152197809577 T^{28} + 1495591282968796487 T^{29} + 13806981777870876178 T^{30} + 31486653566607973723 T^{31} + 48661191875666868481 T^{32} \))(\( 1 - 11 T + 82 T^{2} - 151 T^{3} - 1257 T^{4} + 14573 T^{5} - 43518 T^{6} - 93859 T^{7} + 1568504 T^{8} - 5547395 T^{9} - 2761766 T^{10} + 97790693 T^{11} - 344680251 T^{12} - 129416362 T^{13} + 3449705386 T^{14} - 9240382008 T^{15} + 336684367 T^{16} - 157086494136 T^{17} + 996964856554 T^{18} - 635822586506 T^{19} - 28788039243771 T^{20} + 138848799990901 T^{21} - 66662317386854 T^{22} - 2276310702906835 T^{23} + 10941503449238264 T^{24} - 11130539500131923 T^{25} - 87732022559739582 T^{26} + 499444344891135709 T^{27} - 732356152197809577 T^{28} - 1495591282968796487 T^{29} + 13806981777870876178 T^{30} - 31486653566607973723 T^{31} + 48661191875666868481 T^{32} \))(\( ( 1 + 17 T^{2} - 4913 T^{6} - 83521 T^{8} - 1419857 T^{10} + 410338673 T^{14} + 6975757441 T^{16} )^{2} \))(\( ( 1 + 17 T^{2} - 4913 T^{6} - 83521 T^{8} - 1419857 T^{10} + 410338673 T^{14} + 6975757441 T^{16} )^{2} \))(\( 1 + 49 T^{2} + 734 T^{4} + 6754 T^{6} + 259021 T^{8} + 3799762 T^{10} - 31177574 T^{12} - 127677723 T^{14} + 17792898777 T^{16} - 36898861947 T^{18} - 2603982158054 T^{20} + 91717017458578 T^{22} + 1806867668125261 T^{24} + 13616022803632546 T^{26} + 427644722126644574 T^{28} + 8250513501410645521 T^{30} + 48661191875666868481 T^{32} \))(\( 1 + 4 T^{2} + 944 T^{4} + 13759 T^{6} + 450961 T^{8} + 9974242 T^{10} + 189561766 T^{12} + 3776600007 T^{14} + 65767060617 T^{16} + 1091437402023 T^{18} + 15832388258086 T^{20} + 240753954497698 T^{22} + 3145794551350801 T^{24} + 27738060076277791 T^{26} + 549995391944894384 T^{28} + 673511306237603716 T^{30} + 48661191875666868481 T^{32} \))
$19$ (\( 1 + 19 T^{2} \))(\( 1 + 2 T + 19 T^{2} \))(\( 1 - 6 T + 19 T^{2} \))(\( 1 + 19 T^{2} \))(\( 1 + 6 T^{2} + 361 T^{4} \))(\( 1 + 4 T + 22 T^{2} + 76 T^{3} + 361 T^{4} \))(\( 1 + 9 T + 75 T^{2} + 351 T^{3} + 1425 T^{4} + 3249 T^{5} + 6859 T^{6} \))(\( 1 + 11 T + 77 T^{2} + 361 T^{3} + 1463 T^{4} + 3971 T^{5} + 6859 T^{6} \))(\( 1 - 11 T + 77 T^{2} - 361 T^{3} + 1463 T^{4} - 3971 T^{5} + 6859 T^{6} \))(\( 1 - 9 T + 75 T^{2} - 351 T^{3} + 1425 T^{4} - 3249 T^{5} + 6859 T^{6} \))(\( 1 + 48 T^{2} + 1230 T^{4} + 17328 T^{6} + 130321 T^{8} \))(\( 1 + 46 T^{2} + 1669 T^{4} + 33672 T^{6} + 663394 T^{8} + 10333268 T^{10} + 239485234 T^{12} + 4388168712 T^{14} + 78519575389 T^{16} + 781243899886 T^{18} + 6131066257801 T^{20} \))(\( ( 1 + 19 T^{2} )^{8} \))(\( ( 1 + 31 T^{2} + 1283 T^{4} + 22429 T^{6} + 463163 T^{8} + 4039951 T^{10} + 47045881 T^{12} )^{2} \))(\( ( 1 + 72 T^{2} + 2652 T^{4} + 64824 T^{6} + 1304550 T^{8} + 23401464 T^{10} + 345611292 T^{12} + 3387303432 T^{14} + 16983563041 T^{16} )^{2} \))(\( 1 - 19 T^{2} + 361 T^{4} \))(\( 1 - 19 T^{2} + 361 T^{4} \))(\( 1 + 6 T + 17 T^{2} + 114 T^{3} + 361 T^{4} \))(\( 1 + 2 T - 15 T^{2} + 38 T^{3} + 361 T^{4} \))(\( 1 - 2 T - 15 T^{2} - 38 T^{3} + 361 T^{4} \))(\( 1 - 6 T + 17 T^{2} - 114 T^{3} + 361 T^{4} \))(\( 1 - 19 T^{2} + 361 T^{4} \))(\( 1 - 19 T^{2} + 361 T^{4} \))(\( 1 + 4 T - 6 T^{2} - 64 T^{3} - 181 T^{4} - 1216 T^{5} - 2166 T^{6} + 27436 T^{7} + 130321 T^{8} \))(\( 1 - 4 T - 6 T^{2} + 64 T^{3} - 181 T^{4} + 1216 T^{5} - 2166 T^{6} - 27436 T^{7} + 130321 T^{8} \))(\( 1 - 6 T^{2} - 325 T^{4} - 2166 T^{6} + 130321 T^{8} \))(\( 1 + 11 T + 44 T^{2} + 125 T^{3} + 495 T^{4} - 418 T^{5} - 12293 T^{6} - 7942 T^{7} + 178695 T^{8} + 857375 T^{9} + 5734124 T^{10} + 27237089 T^{11} + 47045881 T^{12} \))(\( 1 - 9 T + 6 T^{2} + 27 T^{3} + 1041 T^{4} - 3924 T^{5} + 803 T^{6} - 74556 T^{7} + 375801 T^{8} + 185193 T^{9} + 781926 T^{10} - 22284891 T^{11} + 47045881 T^{12} \))(\( 1 - 48 T^{2} + 1074 T^{4} - 24384 T^{6} + 550835 T^{8} - 8802624 T^{10} + 139964754 T^{12} - 2258202288 T^{14} + 16983563041 T^{16} \))(\( 1 - 46 T^{2} + 447 T^{4} - 9430 T^{6} + 573255 T^{8} - 5499588 T^{10} + 30239138 T^{12} - 3249843660 T^{14} + 17640889709 T^{16} - 100400641546 T^{18} + 20175000361089 T^{20} - 36244631598106 T^{22} + 2298978387766589 T^{24} - 152891758096964460 T^{26} + 513568306528498658 T^{28} - 33718338418607285988 T^{30} + \)\(12\!\cdots\!55\)\( T^{32} - \)\(75\!\cdots\!30\)\( T^{34} + \)\(12\!\cdots\!07\)\( T^{36} - \)\(47\!\cdots\!86\)\( T^{38} + \)\(37\!\cdots\!01\)\( T^{40} \))(\( 1 - 3 T + 35 T^{2} - 63 T^{3} + 784 T^{4} - 1197 T^{5} + 12635 T^{6} - 20577 T^{7} + 130321 T^{8} \))(\( 1 + 3 T + 35 T^{2} + 63 T^{3} + 784 T^{4} + 1197 T^{5} + 12635 T^{6} + 20577 T^{7} + 130321 T^{8} \))(\( ( 1 - 19 T^{2} + 361 T^{4} - 6859 T^{6} + 130321 T^{8} )^{2} \))(\( 1 - 9 T + 43 T^{2} - 171 T^{3} + 1023 T^{4} - 1674 T^{5} - 12940 T^{6} + 86580 T^{7} - 253639 T^{8} + 1645020 T^{9} - 4671340 T^{10} - 11481966 T^{11} + 133318383 T^{12} - 423412929 T^{13} + 2022972883 T^{14} - 8044845651 T^{15} + 16983563041 T^{16} \))(\( 1 + 19 T + 113 T^{2} - 15 T^{3} - 2596 T^{4} - 2631 T^{5} + 106245 T^{6} + 756527 T^{7} + 1484429 T^{8} - 6206619 T^{9} - 26235105 T^{10} + 133461535 T^{11} + 1444663142 T^{12} + 5677361136 T^{13} + 11109732198 T^{14} + 13150474478 T^{15} + 38443302841 T^{16} + 249859015082 T^{17} + 4010613323478 T^{18} + 38941020031824 T^{19} + 188269945328582 T^{20} + 330463973351965 T^{21} - 1234253627852505 T^{22} - 5547921318840441 T^{23} + 25210893501388589 T^{24} + 244121955937653533 T^{25} + 651395134560067245 T^{26} - 306485871161214189 T^{27} - 5745765529895753956 T^{28} - 630794751933855885 T^{29} + 90287755493465905673 T^{30} + \)\(28\!\cdots\!81\)\( T^{31} + \)\(28\!\cdots\!81\)\( T^{32} \))(\( 1 - 73 T^{2} + 2379 T^{4} - 40445 T^{6} + 404313 T^{8} - 3318140 T^{10} - 58221474 T^{12} + 6335314178 T^{14} - 180347130517 T^{16} + 2287048418258 T^{18} - 7587480713154 T^{20} - 156104819581340 T^{22} + 6866675323795833 T^{24} - 247970974796761445 T^{26} + 5265476192458397019 T^{28} - 58327488062150540833 T^{30} + \)\(28\!\cdots\!81\)\( T^{32} \))(\( 1 + 4 T - 41 T^{2} - 487 T^{3} - 101 T^{4} + 13909 T^{5} + 62210 T^{6} - 148151 T^{7} - 1443213 T^{8} - 2717506 T^{9} + 18131161 T^{10} + 67177272 T^{11} + 83103957 T^{12} - 1309330698 T^{13} - 3914304424 T^{14} - 2240261815 T^{15} + 124948004864 T^{16} + 90127141967 T^{17} - 550811036559 T^{18} - 4193026944635 T^{19} + 17708029941281 T^{20} - 79667511948065 T^{21} - 198842784197799 T^{22} + 618182066751653 T^{23} + 16283348941881344 T^{24} - 5547110039859685 T^{25} - 184151900129277544 T^{26} - 1170373707947343822 T^{27} + 1411401292666053237 T^{28} + 21677279244753678888 T^{29} + \)\(11\!\cdots\!61\)\( T^{30} - \)\(31\!\cdots\!14\)\( T^{31} - \)\(31\!\cdots\!93\)\( T^{32} - \)\(62\!\cdots\!09\)\( T^{33} + \)\(49\!\cdots\!10\)\( T^{34} + \)\(21\!\cdots\!91\)\( T^{35} - \)\(29\!\cdots\!81\)\( T^{36} - \)\(26\!\cdots\!93\)\( T^{37} - \)\(42\!\cdots\!81\)\( T^{38} + \)\(79\!\cdots\!16\)\( T^{39} + \)\(37\!\cdots\!01\)\( T^{40} \))(\( 1 - 4 T - 41 T^{2} + 487 T^{3} - 101 T^{4} - 13909 T^{5} + 62210 T^{6} + 148151 T^{7} - 1443213 T^{8} + 2717506 T^{9} + 18131161 T^{10} - 67177272 T^{11} + 83103957 T^{12} + 1309330698 T^{13} - 3914304424 T^{14} + 2240261815 T^{15} + 124948004864 T^{16} - 90127141967 T^{17} - 550811036559 T^{18} + 4193026944635 T^{19} + 17708029941281 T^{20} + 79667511948065 T^{21} - 198842784197799 T^{22} - 618182066751653 T^{23} + 16283348941881344 T^{24} + 5547110039859685 T^{25} - 184151900129277544 T^{26} + 1170373707947343822 T^{27} + 1411401292666053237 T^{28} - 21677279244753678888 T^{29} + \)\(11\!\cdots\!61\)\( T^{30} + \)\(31\!\cdots\!14\)\( T^{31} - \)\(31\!\cdots\!93\)\( T^{32} + \)\(62\!\cdots\!09\)\( T^{33} + \)\(49\!\cdots\!10\)\( T^{34} - \)\(21\!\cdots\!91\)\( T^{35} - \)\(29\!\cdots\!81\)\( T^{36} + \)\(26\!\cdots\!93\)\( T^{37} - \)\(42\!\cdots\!81\)\( T^{38} - \)\(79\!\cdots\!16\)\( T^{39} + \)\(37\!\cdots\!01\)\( T^{40} \))(\( ( 1 - 19 T^{2} + 361 T^{4} )^{2} \))(\( ( 1 - 28 T^{2} + 423 T^{4} - 10108 T^{6} + 130321 T^{8} )^{2} \))(\( 1 - 31 T^{2} - 322 T^{4} + 5085 T^{6} + 487627 T^{8} - 4100252 T^{10} - 122324807 T^{12} - 1480190972 T^{14} + 63548038267 T^{16} + 239228304885 T^{18} - 5468707299202 T^{20} - 190063053991831 T^{22} + 2213314919066161 T^{24} \))(\( ( 1 - 19 T^{2} + 361 T^{4} )^{8} \))(\( 1 - 3 T - 26 T^{2} + 21 T^{3} + 252 T^{4} + 1302 T^{5} - 1792 T^{6} - 24084 T^{7} + 90161 T^{8} - 457596 T^{9} - 646912 T^{10} + 8930418 T^{11} + 32840892 T^{12} + 51998079 T^{13} - 1223192906 T^{14} - 2681615217 T^{15} + 16983563041 T^{16} \))(\( 1 + 9 T + 38 T^{2} + 45 T^{3} - 713 T^{4} - 9387 T^{5} - 55694 T^{6} - 172071 T^{7} + 11894 T^{8} + 3422331 T^{9} + 28508642 T^{10} + 136939077 T^{11} + 373421069 T^{12} + 123703272 T^{13} - 4687437236 T^{14} - 41957891316 T^{15} - 224298429341 T^{16} - 797199935004 T^{17} - 1692164842196 T^{18} + 848480742648 T^{19} + 48664607133149 T^{20} + 339074711620623 T^{21} + 1341214179003602 T^{22} + 3059124962403609 T^{23} + 202002498809654 T^{24} - 55525194844530309 T^{25} - 341463604161968894 T^{26} - 1093494060277581753 T^{27} - 1578093537294172793 T^{28} + 1892384255801567655 T^{29} + 30362254059749596598 T^{30} + \)\(13\!\cdots\!91\)\( T^{31} + \)\(28\!\cdots\!81\)\( T^{32} \))(\( 1 - 9 T + 38 T^{2} - 45 T^{3} - 713 T^{4} + 9387 T^{5} - 55694 T^{6} + 172071 T^{7} + 11894 T^{8} - 3422331 T^{9} + 28508642 T^{10} - 136939077 T^{11} + 373421069 T^{12} - 123703272 T^{13} - 4687437236 T^{14} + 41957891316 T^{15} - 224298429341 T^{16} + 797199935004 T^{17} - 1692164842196 T^{18} - 848480742648 T^{19} + 48664607133149 T^{20} - 339074711620623 T^{21} + 1341214179003602 T^{22} - 3059124962403609 T^{23} + 202002498809654 T^{24} + 55525194844530309 T^{25} - 341463604161968894 T^{26} + 1093494060277581753 T^{27} - 1578093537294172793 T^{28} - 1892384255801567655 T^{29} + 30362254059749596598 T^{30} - \)\(13\!\cdots\!91\)\( T^{31} + \)\(28\!\cdots\!81\)\( T^{32} \))(\( ( 1 + 19 T^{2} - 6859 T^{6} - 130321 T^{8} - 2476099 T^{10} + 893871739 T^{14} + 16983563041 T^{16} )^{2} \))(\( ( 1 + 19 T^{2} - 6859 T^{6} - 130321 T^{8} - 2476099 T^{10} + 893871739 T^{14} + 16983563041 T^{16} )^{2} \))(\( 1 + 133 T^{2} + 8936 T^{4} + 411742 T^{6} + 14847541 T^{8} + 447417724 T^{10} + 11616890374 T^{12} + 264146767731 T^{14} + 5320044818877 T^{16} + 95356983150891 T^{18} + 1513924770430054 T^{20} + 21049161000594844 T^{22} + 252164148577332181 T^{24} + 2524417483119499342 T^{26} + 19778182116775214696 T^{28} + \)\(10\!\cdots\!93\)\( T^{30} + \)\(28\!\cdots\!81\)\( T^{32} \))(\( 1 - 2 T^{2} + 656 T^{4} + 6157 T^{6} + 26341 T^{8} + 1813324 T^{10} - 21854546 T^{12} - 2176037829 T^{14} + 4283921037 T^{16} - 785549656269 T^{18} - 2848106289266 T^{20} + 85309425118444 T^{22} + 447364034062981 T^{24} + 37748974949280757 T^{26} + 1451934586907401616 T^{28} - 1598013371565768242 T^{30} + \)\(28\!\cdots\!81\)\( T^{32} \))
$23$ (\( 1 + T + 23 T^{2} \))(\( 1 - 3 T + 23 T^{2} \))(\( 1 + 5 T + 23 T^{2} \))(\( 1 + 4 T + 23 T^{2} \))(\( ( 1 + 2 T + 23 T^{2} )^{2} \))(\( 1 + 4 T + 30 T^{2} + 92 T^{3} + 529 T^{4} \))(\( 1 + 12 T^{2} - 107 T^{3} + 276 T^{4} + 12167 T^{6} \))(\( 1 - 12 T + 112 T^{2} - 599 T^{3} + 2576 T^{4} - 6348 T^{5} + 12167 T^{6} \))(\( 1 - 12 T + 112 T^{2} - 599 T^{3} + 2576 T^{4} - 6348 T^{5} + 12167 T^{6} \))(\( 1 + 12 T^{2} - 107 T^{3} + 276 T^{4} + 12167 T^{6} \))(\( ( 1 + 7 T + 54 T^{2} + 161 T^{3} + 529 T^{4} )^{2} \))(\( ( 1 - 2 T + 76 T^{2} - 58 T^{3} + 2627 T^{4} - 784 T^{5} + 60421 T^{6} - 30682 T^{7} + 924692 T^{8} - 559682 T^{9} + 6436343 T^{10} )^{2} \))(\( ( 1 + 167 T^{4} + 279841 T^{8} )^{2} \))(\( ( 1 - 10 T + 96 T^{2} - 481 T^{3} + 2208 T^{4} - 5290 T^{5} + 12167 T^{6} )^{4} \))(\( ( 1 + 4 T + 68 T^{2} + 156 T^{3} + 1946 T^{4} + 3588 T^{5} + 35972 T^{6} + 48668 T^{7} + 279841 T^{8} )^{4} \))(\( 1 - 4 T - 7 T^{2} - 92 T^{3} + 529 T^{4} \))(\( 1 - 4 T - 7 T^{2} - 92 T^{3} + 529 T^{4} \))(\( 1 - 5 T + 2 T^{2} - 115 T^{3} + 529 T^{4} \))(\( 1 + 3 T - 14 T^{2} + 69 T^{3} + 529 T^{4} \))(\( 1 + 3 T - 14 T^{2} + 69 T^{3} + 529 T^{4} \))(\( 1 - 5 T + 2 T^{2} - 115 T^{3} + 529 T^{4} \))(\( 1 - T - 22 T^{2} - 23 T^{3} + 529 T^{4} \))(\( 1 - T - 22 T^{2} - 23 T^{3} + 529 T^{4} \))(\( 1 - 4 T - 14 T^{2} + 64 T^{3} + 3 T^{4} + 1472 T^{5} - 7406 T^{6} - 48668 T^{7} + 279841 T^{8} \))(\( 1 - 4 T - 14 T^{2} + 64 T^{3} + 3 T^{4} + 1472 T^{5} - 7406 T^{6} - 48668 T^{7} + 279841 T^{8} \))(\( ( 1 - 2 T - 19 T^{2} - 46 T^{3} + 529 T^{4} )^{2} \))(\( 1 + 12 T + 32 T^{2} + 146 T^{3} + 2780 T^{4} + 11612 T^{5} + 18447 T^{6} + 267076 T^{7} + 1470620 T^{8} + 1776382 T^{9} + 8954912 T^{10} + 77236116 T^{11} + 148035889 T^{12} \))(\( 1 - 12 T^{2} - 214 T^{3} - 132 T^{4} + 1284 T^{5} + 32471 T^{6} + 29532 T^{7} - 69828 T^{8} - 2603738 T^{9} - 3358092 T^{10} + 148035889 T^{12} \))(\( ( 1 - 7 T - 5 T^{2} - 56 T^{3} + 1260 T^{4} - 1288 T^{5} - 2645 T^{6} - 85169 T^{7} + 279841 T^{8} )^{2} \))(\( ( 1 + 2 T - 72 T^{2} + 36 T^{3} + 3033 T^{4} - 5316 T^{5} - 77014 T^{6} + 184722 T^{7} + 1461697 T^{8} - 1887416 T^{9} - 26893390 T^{10} - 43410568 T^{11} + 773237713 T^{12} + 2247512574 T^{13} - 21551674774 T^{14} - 34215599388 T^{15} + 448992851337 T^{16} + 122573716092 T^{17} - 5638390940232 T^{18} + 3602305322926 T^{19} + 41426511213649 T^{20} )^{2} \))(\( ( 1 + 8 T + 57 T^{2} + 184 T^{3} + 529 T^{4} )^{2} \))(\( ( 1 + 8 T + 57 T^{2} + 184 T^{3} + 529 T^{4} )^{2} \))(\( ( 1 + 8 T + 41 T^{2} + 144 T^{3} + 209 T^{4} + 3312 T^{5} + 21689 T^{6} + 97336 T^{7} + 279841 T^{8} )^{2} \))(\( ( 1 + 8 T + 83 T^{2} + 402 T^{3} + 2555 T^{4} + 9246 T^{5} + 43907 T^{6} + 97336 T^{7} + 279841 T^{8} )^{2} \))(\( ( 1 - 16 T + 224 T^{2} - 2234 T^{3} + 19567 T^{4} - 141712 T^{5} + 926670 T^{6} - 5230592 T^{7} + 26816927 T^{8} - 120303616 T^{9} + 490208430 T^{10} - 1724209904 T^{11} + 5475648847 T^{12} - 14378790262 T^{13} + 33160039136 T^{14} - 54477207152 T^{15} + 78310985281 T^{16} )^{2} \))(\( ( 1 + 4 T + 77 T^{2} + 248 T^{3} + 2473 T^{4} + 5704 T^{5} + 40733 T^{6} + 48668 T^{7} + 279841 T^{8} )^{4} \))(\( ( 1 - 7 T + 166 T^{2} - 984 T^{3} + 13005 T^{4} - 66242 T^{5} + 642633 T^{6} - 2845431 T^{7} + 22524717 T^{8} - 87360466 T^{9} + 592674123 T^{10} - 2009290718 T^{11} + 11915575293 T^{12} - 34620358977 T^{13} + 179835061353 T^{14} - 426356233006 T^{15} + 1925206736445 T^{16} - 3350348239848 T^{17} + 12999623556646 T^{18} - 12608068630241 T^{19} + 41426511213649 T^{20} )^{2} \))(\( ( 1 - 7 T + 166 T^{2} - 984 T^{3} + 13005 T^{4} - 66242 T^{5} + 642633 T^{6} - 2845431 T^{7} + 22524717 T^{8} - 87360466 T^{9} + 592674123 T^{10} - 2009290718 T^{11} + 11915575293 T^{12} - 34620358977 T^{13} + 179835061353 T^{14} - 426356233006 T^{15} + 1925206736445 T^{16} - 3350348239848 T^{17} + 12999623556646 T^{18} - 12608068630241 T^{19} + 41426511213649 T^{20} )^{2} \))(\( ( 1 - 8 T + 41 T^{2} - 184 T^{3} + 529 T^{4} )^{2} \))(\( ( 1 - 3 T - 14 T^{2} - 69 T^{3} + 529 T^{4} )^{4} \))(\( ( 1 + 10 T + 4 T^{2} - 2 T^{3} + 2198 T^{4} + 7306 T^{5} - 9173 T^{6} + 168038 T^{7} + 1162742 T^{8} - 24334 T^{9} + 1119364 T^{10} + 64363430 T^{11} + 148035889 T^{12} )^{2} \))(\( ( 1 - 167 T^{4} - 251952 T^{8} - 46733447 T^{12} + 78310985281 T^{16} )^{2} \))(\( ( 1 - 8 T + 7 T^{2} - 88 T^{3} + 1248 T^{4} - 2024 T^{5} + 3703 T^{6} - 97336 T^{7} + 279841 T^{8} )^{2} \))(\( ( 1 - 8 T - 19 T^{2} + 140 T^{3} + 1118 T^{4} - 1732 T^{5} - 36615 T^{6} + 59134 T^{7} + 444387 T^{8} + 1360082 T^{9} - 19369335 T^{10} - 21073244 T^{11} + 312862238 T^{12} + 901088020 T^{13} - 2812681891 T^{14} - 27238603576 T^{15} + 78310985281 T^{16} )^{2} \))(\( ( 1 - 8 T - 19 T^{2} + 140 T^{3} + 1118 T^{4} - 1732 T^{5} - 36615 T^{6} + 59134 T^{7} + 444387 T^{8} + 1360082 T^{9} - 19369335 T^{10} - 21073244 T^{11} + 312862238 T^{12} + 901088020 T^{13} - 2812681891 T^{14} - 27238603576 T^{15} + 78310985281 T^{16} )^{2} \))(\( ( 1 - 8 T + 23 T^{2} - 40 T^{3} + 320 T^{4} - 5872 T^{5} + 29049 T^{6} - 29360 T^{7} - 44961 T^{8} - 675280 T^{9} + 15366921 T^{10} - 71444624 T^{11} + 89549120 T^{12} - 257453720 T^{13} + 3404825447 T^{14} - 27238603576 T^{15} + 78310985281 T^{16} )^{2} \))(\( ( 1 + 8 T + 23 T^{2} + 40 T^{3} + 320 T^{4} + 5872 T^{5} + 29049 T^{6} + 29360 T^{7} - 44961 T^{8} + 675280 T^{9} + 15366921 T^{10} + 71444624 T^{11} + 89549120 T^{12} + 257453720 T^{13} + 3404825447 T^{14} + 27238603576 T^{15} + 78310985281 T^{16} )^{2} \))(\( ( 1 - T - 34 T^{2} + 11 T^{3} + 673 T^{4} + 253 T^{5} - 17986 T^{6} - 12167 T^{7} + 279841 T^{8} )^{4} \))(\( ( 1 - T - 34 T^{2} + 11 T^{3} + 673 T^{4} + 253 T^{5} - 17986 T^{6} - 12167 T^{7} + 279841 T^{8} )^{4} \))
$29$ (\( 1 + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 - 10 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( ( 1 + 6 T + 29 T^{2} )^{2} \))(\( 1 - 8 T + 54 T^{2} - 232 T^{3} + 841 T^{4} \))(\( 1 + 3 T + 51 T^{2} + 225 T^{3} + 1479 T^{4} + 2523 T^{5} + 24389 T^{6} \))(\( 1 + 9 T + 67 T^{2} + 469 T^{3} + 1943 T^{4} + 7569 T^{5} + 24389 T^{6} \))(\( 1 + 9 T + 67 T^{2} + 469 T^{3} + 1943 T^{4} + 7569 T^{5} + 24389 T^{6} \))(\( 1 + 3 T + 51 T^{2} + 225 T^{3} + 1479 T^{4} + 2523 T^{5} + 24389 T^{6} \))(\( ( 1 - 2 T + 29 T^{2} )^{4} \))(\( ( 1 - 6 T + 89 T^{2} - 440 T^{3} + 4066 T^{4} - 15204 T^{5} + 117914 T^{6} - 370040 T^{7} + 2170621 T^{8} - 4243686 T^{9} + 20511149 T^{10} )^{2} \))(\( ( 1 - 29 T^{2} )^{8} \))(\( ( 1 - 91 T^{2} + 4663 T^{4} - 160283 T^{6} + 3921583 T^{8} - 64362571 T^{10} + 594823321 T^{12} )^{2} \))(\( ( 1 - 112 T^{2} + 7436 T^{4} - 333456 T^{6} + 11236038 T^{8} - 280436496 T^{10} + 5259341516 T^{12} - 66620211952 T^{14} + 500246412961 T^{16} )^{2} \))(\( ( 1 + 6 T + 29 T^{2} )^{2} \))(\( ( 1 + 6 T + 29 T^{2} )^{2} \))(\( ( 1 - 10 T + 29 T^{2} )^{2} \))(\( ( 1 + 6 T + 29 T^{2} )^{2} \))(\( ( 1 + 6 T + 29 T^{2} )^{2} \))(\( ( 1 - 10 T + 29 T^{2} )^{2} \))(\( ( 1 + 29 T^{2} )^{2} \))(\( ( 1 + 29 T^{2} )^{2} \))(\( ( 1 - 8 T + 54 T^{2} - 232 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 - 8 T + 54 T^{2} - 232 T^{3} + 841 T^{4} )^{2} \))(\( ( 1 + 6 T + 29 T^{2} )^{4} \))(\( ( 1 + 9 T + 67 T^{2} + 469 T^{3} + 1943 T^{4} + 7569 T^{5} + 24389 T^{6} )^{2} \))(\( ( 1 + 3 T + 51 T^{2} + 225 T^{3} + 1479 T^{4} + 2523 T^{5} + 24389 T^{6} )^{2} \))(\( ( 1 - 2 T + 29 T^{2} )^{8} \))(\( ( 1 - 6 T + 89 T^{2} - 440 T^{3} + 4066 T^{4} - 15204 T^{5} + 117914 T^{6} - 370040 T^{7} + 2170621 T^{8} - 4243686 T^{9} + 20511149 T^{10} )^{4} \))(\( 1 - 12 T + 25 T^{2} + 288 T^{3} - 2471 T^{4} + 8352 T^{5} + 21025 T^{6} - 292668 T^{7} + 707281 T^{8} \))(\( 1 - 12 T + 25 T^{2} + 288 T^{3} - 2471 T^{4} + 8352 T^{5} + 21025 T^{6} - 292668 T^{7} + 707281 T^{8} \))(\( ( 1 + 2 T - 25 T^{2} - 108 T^{3} + 509 T^{4} - 3132 T^{5} - 21025 T^{6} + 48778 T^{7} + 707281 T^{8} )^{2} \))(\( 1 + 9 T - 22 T^{2} - 429 T^{3} - 762 T^{4} + 11754 T^{5} + 81940 T^{6} - 191700 T^{7} - 3727369 T^{8} - 5559300 T^{9} + 68911540 T^{10} + 286668306 T^{11} - 538948122 T^{12} - 8799282921 T^{13} - 13086113062 T^{14} + 155248886781 T^{15} + 500246412961 T^{16} \))(\( 1 - 3 T - 75 T^{3} + 2441 T^{4} - 473 T^{5} - 37550 T^{6} - 114715 T^{7} + 3177286 T^{8} + 2623287 T^{9} - 24972736 T^{10} - 263064707 T^{11} + 3471423716 T^{12} + 694532172 T^{13} - 11302302466 T^{14} - 87801320252 T^{15} + 2485262854281 T^{16} - 2546238287308 T^{17} - 9505236373906 T^{18} + 16938945142908 T^{19} + 2455272037276196 T^{20} - 5395759401918343 T^{21} - 14854365761976256 T^{22} + 45251376273007683 T^{23} + 1589425924451203846 T^{24} - 1664187250621812335 T^{25} - 15797556610422547550 T^{26} - 5770841119178857117 T^{27} + \)\(86\!\cdots\!81\)\( T^{28} - \)\(76\!\cdots\!75\)\( T^{29} - \)\(25\!\cdots\!47\)\( T^{31} + \)\(25\!\cdots\!21\)\( T^{32} \))(\( ( 1 + 19 T + 134 T^{2} + 359 T^{3} - 694 T^{4} - 11488 T^{5} - 58644 T^{6} - 44198 T^{7} + 797667 T^{8} - 1281742 T^{9} - 49319604 T^{10} - 280180832 T^{11} - 490853014 T^{12} + 7363502491 T^{13} + 79706325014 T^{14} + 327747649871 T^{15} + 500246412961 T^{16} )^{2} \))(\( 1 - 86 T^{2} - 207 T^{3} + 4383 T^{4} + 13252 T^{5} - 138668 T^{6} - 574212 T^{7} + 3672077 T^{8} + 16096842 T^{9} - 71345154 T^{10} - 385840241 T^{11} + 1033190387 T^{12} + 6716918329 T^{13} + 4588847078 T^{14} - 81542653268 T^{15} - 1027131387737 T^{16} + 1075538728786 T^{17} + 49859080631882 T^{18} - 6287862631925 T^{19} - 1799965726053430 T^{20} - 182348016325825 T^{21} + 41931486811412762 T^{22} + 26231314056361754 T^{23} - 726470515050013097 T^{24} - 1672533511035284932 T^{25} + 2729553258497106038 T^{26} + \)\(11\!\cdots\!61\)\( T^{27} + \)\(51\!\cdots\!07\)\( T^{28} - \)\(55\!\cdots\!29\)\( T^{29} - \)\(30\!\cdots\!54\)\( T^{30} + \)\(19\!\cdots\!18\)\( T^{31} + \)\(12\!\cdots\!57\)\( T^{32} - \)\(58\!\cdots\!68\)\( T^{33} - \)\(41\!\cdots\!08\)\( T^{34} + \)\(11\!\cdots\!48\)\( T^{35} + \)\(10\!\cdots\!43\)\( T^{36} - \)\(15\!\cdots\!63\)\( T^{37} - \)\(18\!\cdots\!46\)\( T^{38} + \)\(17\!\cdots\!01\)\( T^{40} \))(\( 1 - 86 T^{2} - 207 T^{3} + 4383 T^{4} + 13252 T^{5} - 138668 T^{6} - 574212 T^{7} + 3672077 T^{8} + 16096842 T^{9} - 71345154 T^{10} - 385840241 T^{11} + 1033190387 T^{12} + 6716918329 T^{13} + 4588847078 T^{14} - 81542653268 T^{15} - 1027131387737 T^{16} + 1075538728786 T^{17} + 49859080631882 T^{18} - 6287862631925 T^{19} - 1799965726053430 T^{20} - 182348016325825 T^{21} + 41931486811412762 T^{22} + 26231314056361754 T^{23} - 726470515050013097 T^{24} - 1672533511035284932 T^{25} + 2729553258497106038 T^{26} + \)\(11\!\cdots\!61\)\( T^{27} + \)\(51\!\cdots\!07\)\( T^{28} - \)\(55\!\cdots\!29\)\( T^{29} - \)\(30\!\cdots\!54\)\( T^{30} + \)\(19\!\cdots\!18\)\( T^{31} + \)\(12\!\cdots\!57\)\( T^{32} - \)\(58\!\cdots\!68\)\( T^{33} - \)\(41\!\cdots\!08\)\( T^{34} + \)\(11\!\cdots\!48\)\( T^{35} + \)\(10\!\cdots\!43\)\( T^{36} - \)\(15\!\cdots\!63\)\( T^{37} - \)\(18\!\cdots\!46\)\( T^{38} + \)\(17\!\cdots\!01\)\( T^{40} \))(\( ( 1 - 2 T + 29 T^{2} )^{2}( 1 + 2 T + 29 T^{2} )^{2} \))(\( ( 1 - 56 T^{2} + 841 T^{4} )^{4} \))(\( ( 1 - 91 T^{2} + 4663 T^{4} - 160283 T^{6} + 3921583 T^{8} - 64362571 T^{10} + 594823321 T^{12} )^{2} \))(\( ( 1 - 29 T^{2} )^{16} \))(\( ( 1 - 12 T + 25 T^{2} + 288 T^{3} - 2471 T^{4} + 8352 T^{5} + 21025 T^{6} - 292668 T^{7} + 707281 T^{8} )^{2} \))(\( ( 1 + 9 T - 22 T^{2} - 429 T^{3} - 762 T^{4} + 11754 T^{5} + 81940 T^{6} - 191700 T^{7} - 3727369 T^{8} - 5559300 T^{9} + 68911540 T^{10} + 286668306 T^{11} - 538948122 T^{12} - 8799282921 T^{13} - 13086113062 T^{14} + 155248886781 T^{15} + 500246412961 T^{16} )^{2} \))(\( ( 1 + 9 T - 22 T^{2} - 429 T^{3} - 762 T^{4} + 11754 T^{5} + 81940 T^{6} - 191700 T^{7} - 3727369 T^{8} - 5559300 T^{9} + 68911540 T^{10} + 286668306 T^{11} - 538948122 T^{12} - 8799282921 T^{13} - 13086113062 T^{14} + 155248886781 T^{15} + 500246412961 T^{16} )^{2} \))(\( ( 1 + 2 T - 25 T^{2} - 108 T^{3} + 509 T^{4} - 3132 T^{5} - 21025 T^{6} + 48778 T^{7} + 707281 T^{8} )^{4} \))(\( ( 1 - 2 T - 25 T^{2} + 108 T^{3} + 509 T^{4} + 3132 T^{5} - 21025 T^{6} - 48778 T^{7} + 707281 T^{8} )^{2}( 1 + 2 T - 25 T^{2} - 108 T^{3} + 509 T^{4} - 3132 T^{5} - 21025 T^{6} + 48778 T^{7} + 707281 T^{8} )^{2} \))(\( ( 1 - 5 T + 66 T^{2} - 555 T^{3} + 3920 T^{4} - 28200 T^{5} + 189134 T^{6} - 1026380 T^{7} + 6343899 T^{8} - 29765020 T^{9} + 159061694 T^{10} - 687769800 T^{11} + 2772541520 T^{12} - 11383687695 T^{13} + 39258339186 T^{14} - 86249381545 T^{15} + 500246412961 T^{16} )^{2} \))(\( ( 1 - 5 T + 66 T^{2} - 555 T^{3} + 3920 T^{4} - 28200 T^{5} + 189134 T^{6} - 1026380 T^{7} + 6343899 T^{8} - 29765020 T^{9} + 159061694 T^{10} - 687769800 T^{11} + 2772541520 T^{12} - 11383687695 T^{13} + 39258339186 T^{14} - 86249381545 T^{15} + 500246412961 T^{16} )^{2} \))
$31$ (\( 1 + 7 T + 31 T^{2} \))(\( 1 + 5 T + 31 T^{2} \))(\( 1 + T + 31 T^{2} \))(\( 1 + 10 T + 31 T^{2} \))(\( 1 + 44 T^{2} + 961 T^{4} \))(\( 1 - 10 T + 82 T^{2} - 310 T^{3} + 961 T^{4} \))(\( 1 + 9 T + 117 T^{2} + 577 T^{3} + 3627 T^{4} + 8649 T^{5} + 29791 T^{6} \))(\( 1 + 3 T + 49 T^{2} + 79 T^{3} + 1519 T^{4} + 2883 T^{5} + 29791 T^{6} \))(\( 1 - 3 T + 49 T^{2} - 79 T^{3} + 1519 T^{4} - 2883 T^{5} + 29791 T^{6} \))(\( 1 - 9 T + 117 T^{2} - 577 T^{3} + 3627 T^{4} - 8649 T^{5} + 29791 T^{6} \))(\( 1 + 45 T^{2} + 2220 T^{4} + 43245 T^{6} + 923521 T^{8} \))(\( 1 + 156 T^{2} + 13522 T^{4} + 807092 T^{6} + 36209969 T^{8} + 1264576016 T^{10} + 34797780209 T^{12} + 745366410932 T^{14} + 12000824774482 T^{16} + 133051001840796 T^{18} + 819628286980801 T^{20} \))(\( 1 - 1541233 T^{8} + 852891037441 T^{16} \))(\( ( 1 - 159 T^{2} + 11229 T^{4} - 450155 T^{6} + 10791069 T^{8} - 146839839 T^{10} + 887503681 T^{12} )^{2} \))(\( ( 1 - 200 T^{2} + 18536 T^{4} - 1043368 T^{6} + 39134098 T^{8} - 1002676648 T^{10} + 17118385256 T^{12} - 177500736200 T^{14} + 852891037441 T^{16} )^{2} \))(\( 1 + 10 T + 69 T^{2} + 310 T^{3} + 961 T^{4} \))(\( 1 - 10 T + 69 T^{2} - 310 T^{3} + 961 T^{4} \))(\( 1 - T - 30 T^{2} - 31 T^{3} + 961 T^{4} \))(\( 1 + 5 T - 6 T^{2} + 155 T^{3} + 961 T^{4} \))(\( 1 - 5 T - 6 T^{2} - 155 T^{3} + 961 T^{4} \))(\( 1 + T - 30 T^{2} + 31 T^{3} + 961 T^{4} \))(\( ( 1 - 11 T + 31 T^{2} )( 1 + 4 T + 31 T^{2} ) \))(\( ( 1 - 4 T + 31 T^{2} )( 1 + 11 T + 31 T^{2} ) \))(\( 1 - 10 T + 18 T^{2} - 200 T^{3} + 2663 T^{4} - 6200 T^{5} + 17298 T^{6} - 297910 T^{7} + 923521 T^{8} \))(\( 1 + 10 T + 18 T^{2} + 200 T^{3} + 2663 T^{4} + 6200 T^{5} + 17298 T^{6} + 297910 T^{7} + 923521 T^{8} \))(\( 1 - 44 T^{2} + 975 T^{4} - 42284 T^{6} + 923521 T^{8} \))(\( 1 + 3 T - 40 T^{2} - 11 T^{3} + 645 T^{4} - 2360 T^{5} - 17257 T^{6} - 73160 T^{7} + 619845 T^{8} - 327701 T^{9} - 36940840 T^{10} + 85887453 T^{11} + 887503681 T^{12} \))(\( 1 - 9 T - 36 T^{2} + 101 T^{3} + 4869 T^{4} - 10872 T^{5} - 109689 T^{6} - 337032 T^{7} + 4679109 T^{8} + 3008891 T^{9} - 33246756 T^{10} - 257662359 T^{11} + 887503681 T^{12} \))(\( 1 - 45 T^{2} - 195 T^{4} - 13410 T^{6} + 2058854 T^{8} - 12887010 T^{10} - 180086595 T^{12} - 39937665645 T^{14} + 852891037441 T^{16} \))(\( 1 - 156 T^{2} + 10814 T^{4} - 495248 T^{6} + 20728163 T^{8} - 880563712 T^{10} + 34087997568 T^{12} - 1199402646980 T^{14} + 40550580525693 T^{16} - 1305109558379152 T^{18} + 40521410900745222 T^{20} - 1254210285602365072 T^{22} + 37449312677668525053 T^{24} - \)\(10\!\cdots\!80\)\( T^{26} + \)\(29\!\cdots\!88\)\( T^{28} - \)\(72\!\cdots\!12\)\( T^{30} + \)\(16\!\cdots\!43\)\( T^{32} - \)\(37\!\cdots\!08\)\( T^{34} + \)\(78\!\cdots\!34\)\( T^{36} - \)\(10\!\cdots\!96\)\( T^{38} + \)\(67\!\cdots\!01\)\( T^{40} \))(\( ( 1 - 11 T + 61 T^{2} - 341 T^{3} + 961 T^{4} )( 1 + 19 T + 151 T^{2} + 589 T^{3} + 961 T^{4} ) \))(\( ( 1 - 19 T + 151 T^{2} - 589 T^{3} + 961 T^{4} )( 1 + 11 T + 61 T^{2} + 341 T^{3} + 961 T^{4} ) \))(\( ( 1 - 31 T^{2} + 961 T^{4} - 29791 T^{6} + 923521 T^{8} )^{2} \))(\( 1 - 11 T + 34 T^{2} - 183 T^{3} + 3210 T^{4} - 12836 T^{5} - 31430 T^{6} - 25700 T^{7} + 2517721 T^{8} - 796700 T^{9} - 30204230 T^{10} - 382397276 T^{11} + 2964502410 T^{12} - 5239134633 T^{13} + 30175125154 T^{14} - 302638755221 T^{15} + 852891037441 T^{16} \))(\( 1 - 7 T - 13 T^{3} + 77 T^{4} + 8801 T^{5} - 22254 T^{6} - 56119 T^{7} - 947868 T^{8} - 3202093 T^{9} + 57615842 T^{10} + 102279009 T^{11} - 159564504 T^{12} - 5764151836 T^{13} - 36979480986 T^{14} + 181717554252 T^{15} + 841105835367 T^{16} + 5633244181812 T^{17} - 35537281227546 T^{18} - 171719847346276 T^{19} - 147361170298584 T^{20} + 2928161192791359 T^{21} + 51134271858914402 T^{22} - 88097949056534323 T^{23} - 808428121877125788 T^{24} - 1483765156034695849 T^{25} - 18240007898470745454 T^{26} + \)\(22\!\cdots\!31\)\( T^{27} + 60650034351718331597 T^{28} - \)\(31\!\cdots\!83\)\( T^{29} - \)\(16\!\cdots\!57\)\( T^{31} + \)\(72\!\cdots\!81\)\( T^{32} \))(\( 1 - 175 T^{2} + 14390 T^{4} - 747225 T^{6} + 28796444 T^{8} - 993317960 T^{10} + 36755640150 T^{12} - 1415964107160 T^{14} + 48308760798471 T^{16} - 1360741506980760 T^{18} + 33944605546968150 T^{20} - 881573345903410760 T^{22} + 24560228997771659804 T^{24} - \)\(61\!\cdots\!25\)\( T^{26} + \)\(11\!\cdots\!90\)\( T^{28} - \)\(13\!\cdots\!75\)\( T^{30} + \)\(72\!\cdots\!81\)\( T^{32} \))(\( 1 + 17 T + 40 T^{2} - 926 T^{3} - 5667 T^{4} + 28904 T^{5} + 375588 T^{6} - 25351 T^{7} - 15403717 T^{8} - 39619495 T^{9} + 520228693 T^{10} + 3116522295 T^{11} - 11539767116 T^{12} - 158496793128 T^{13} - 69768030670 T^{14} + 5392888708397 T^{15} + 18293426460333 T^{16} - 126802541632211 T^{17} - 955728211900663 T^{18} + 1325718314322822 T^{19} + 32722073914534439 T^{20} + 41097267744007482 T^{21} - 918454811636537143 T^{22} - 3777574517765197901 T^{23} + 16894363498073192493 T^{24} + \)\(15\!\cdots\!47\)\( T^{25} - 61919384035745896270 T^{26} - \)\(43\!\cdots\!08\)\( T^{27} - \)\(98\!\cdots\!56\)\( T^{28} + \)\(82\!\cdots\!45\)\( T^{29} + \)\(42\!\cdots\!93\)\( T^{30} - \)\(10\!\cdots\!45\)\( T^{31} - \)\(12\!\cdots\!37\)\( T^{32} - \)\(61\!\cdots\!41\)\( T^{33} + \)\(28\!\cdots\!48\)\( T^{34} + \)\(67\!\cdots\!04\)\( T^{35} - \)\(41\!\cdots\!27\)\( T^{36} - \)\(20\!\cdots\!86\)\( T^{37} + \)\(27\!\cdots\!40\)\( T^{38} + \)\(36\!\cdots\!07\)\( T^{39} + \)\(67\!\cdots\!01\)\( T^{40} \))(\( 1 - 17 T + 40 T^{2} + 926 T^{3} - 5667 T^{4} - 28904 T^{5} + 375588 T^{6} + 25351 T^{7} - 15403717 T^{8} + 39619495 T^{9} + 520228693 T^{10} - 3116522295 T^{11} - 11539767116 T^{12} + 158496793128 T^{13} - 69768030670 T^{14} - 5392888708397 T^{15} + 18293426460333 T^{16} + 126802541632211 T^{17} - 955728211900663 T^{18} - 1325718314322822 T^{19} + 32722073914534439 T^{20} - 41097267744007482 T^{21} - 918454811636537143 T^{22} + 3777574517765197901 T^{23} + 16894363498073192493 T^{24} - \)\(15\!\cdots\!47\)\( T^{25} - 61919384035745896270 T^{26} + \)\(43\!\cdots\!08\)\( T^{27} - \)\(98\!\cdots\!56\)\( T^{28} - \)\(82\!\cdots\!45\)\( T^{29} + \)\(42\!\cdots\!93\)\( T^{30} + \)\(10\!\cdots\!45\)\( T^{31} - \)\(12\!\cdots\!37\)\( T^{32} + \)\(61\!\cdots\!41\)\( T^{33} + \)\(28\!\cdots\!48\)\( T^{34} - \)\(67\!\cdots\!04\)\( T^{35} - \)\(41\!\cdots\!27\)\( T^{36} + \)\(20\!\cdots\!86\)\( T^{37} + \)\(27\!\cdots\!40\)\( T^{38} - \)\(36\!\cdots\!07\)\( T^{39} + \)\(67\!\cdots\!01\)\( T^{40} \))(\( ( 1 + 31 T^{2} + 961 T^{4} )^{2} \))(\( ( 1 + 17 T^{2} - 672 T^{4} + 16337 T^{6} + 923521 T^{8} )^{2} \))(\( ( 1 + 3 T + 84 T^{2} + 243 T^{3} + 4227 T^{4} + 11454 T^{5} + 151369 T^{6} + 355074 T^{7} + 4062147 T^{8} + 7239213 T^{9} + 77575764 T^{10} + 85887453 T^{11} + 887503681 T^{12} )^{2} \))(\( 1 + 1541233 T^{8} + 1522508122848 T^{16} + 1314503812308304753 T^{24} + \)\(72\!\cdots\!81\)\( T^{32} \))(\( ( 1 - 11 T + 60 T^{2} + 11 T^{3} - 991 T^{4} + 341 T^{5} + 57660 T^{6} - 327701 T^{7} + 923521 T^{8} )( 1 + 19 T + 210 T^{2} + 1691 T^{3} + 10649 T^{4} + 52421 T^{5} + 201810 T^{6} + 566029 T^{7} + 923521 T^{8} ) \))(\( 1 + 11 T + 87 T^{2} + 8 T^{3} - 4067 T^{4} - 51562 T^{5} - 279707 T^{6} - 605448 T^{7} + 7071411 T^{8} + 79682271 T^{9} + 453595654 T^{10} + 966291599 T^{11} - 4382753906 T^{12} - 56567005227 T^{13} - 210031083446 T^{14} - 225648686906 T^{15} + 2581204556074 T^{16} - 6995109294086 T^{17} - 201839871191606 T^{18} - 1685187652717557 T^{19} - 4047565270023026 T^{20} + 27664108097802449 T^{21} + 402567812610602374 T^{22} + 2192267573511126081 T^{23} + 6031143063961699251 T^{24} - 16007816357933935608 T^{25} - \)\(22\!\cdots\!07\)\( T^{26} - \)\(13\!\cdots\!22\)\( T^{27} - \)\(32\!\cdots\!87\)\( T^{28} + \)\(19\!\cdots\!28\)\( T^{29} + \)\(65\!\cdots\!27\)\( T^{30} + \)\(25\!\cdots\!61\)\( T^{31} + \)\(72\!\cdots\!81\)\( T^{32} \))(\( 1 - 11 T + 87 T^{2} - 8 T^{3} - 4067 T^{4} + 51562 T^{5} - 279707 T^{6} + 605448 T^{7} + 7071411 T^{8} - 79682271 T^{9} + 453595654 T^{10} - 966291599 T^{11} - 4382753906 T^{12} + 56567005227 T^{13} - 210031083446 T^{14} + 225648686906 T^{15} + 2581204556074 T^{16} + 6995109294086 T^{17} - 201839871191606 T^{18} + 1685187652717557 T^{19} - 4047565270023026 T^{20} - 27664108097802449 T^{21} + 402567812610602374 T^{22} - 2192267573511126081 T^{23} + 6031143063961699251 T^{24} + 16007816357933935608 T^{25} - \)\(22\!\cdots\!07\)\( T^{26} + \)\(13\!\cdots\!22\)\( T^{27} - \)\(32\!\cdots\!87\)\( T^{28} - \)\(19\!\cdots\!28\)\( T^{29} + \)\(65\!\cdots\!27\)\( T^{30} - \)\(25\!\cdots\!61\)\( T^{31} + \)\(72\!\cdots\!81\)\( T^{32} \))(\( ( 1 + 31 T^{2} - 29791 T^{6} - 923521 T^{8} - 28629151 T^{10} + 27512614111 T^{14} + 852891037441 T^{16} )^{2} \))(\( ( 1 - 31 T^{2} + 29791 T^{6} - 923521 T^{8} + 28629151 T^{10} - 27512614111 T^{14} + 852891037441 T^{16} )^{2} \))(\( 1 - 27 T^{2} - 2714 T^{4} + 128907 T^{6} + 1055391 T^{8} - 214632411 T^{10} + 5514357014 T^{12} + 112770385131 T^{14} - 9294103550008 T^{16} + 108372340110891 T^{18} + 5092624503926294 T^{20} - 190487054824404891 T^{22} + 900133524895894431 T^{24} + \)\(10\!\cdots\!07\)\( T^{26} - \)\(21\!\cdots\!54\)\( T^{28} - \)\(20\!\cdots\!67\)\( T^{30} + \)\(72\!\cdots\!81\)\( T^{32} \))(\( 1 - 12 T^{2} + 481 T^{4} + 43872 T^{6} + 1613616 T^{8} - 59586 T^{10} + 2189797694 T^{12} + 52764402696 T^{14} + 1201724036477 T^{16} + 50706590990856 T^{18} + 2022324156160574 T^{20} - 52882794336066 T^{22} + 1376238624271396656 T^{24} + 35958732206421701472 T^{26} + \)\(37\!\cdots\!41\)\( T^{28} - \)\(90\!\cdots\!52\)\( T^{30} + \)\(72\!\cdots\!81\)\( T^{32} \))
$37$ (\( 1 - 3 T + 37 T^{2} \))(\( 1 - 11 T + 37 T^{2} \))(\( 1 + 5 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( ( 1 + 10 T + 37 T^{2} )^{2} \))(\( 1 + 8 T + 70 T^{2} + 296 T^{3} + 1369 T^{4} \))(\( 1 + 75 T^{2} + 72 T^{3} + 2775 T^{4} + 50653 T^{6} \))(\( 1 + 4 T + 75 T^{2} + 144 T^{3} + 2775 T^{4} + 5476 T^{5} + 50653 T^{6} \))(\( 1 + 4 T + 75 T^{2} + 144 T^{3} + 2775 T^{4} + 5476 T^{5} + 50653 T^{6} \))(\( 1 + 75 T^{2} + 72 T^{3} + 2775 T^{4} + 50653 T^{6} \))(\( ( 1 - 13 T + 112 T^{2} - 481 T^{3} + 1369 T^{4} )^{2} \))(\( ( 1 - 20 T + 298 T^{2} - 2994 T^{3} + 25477 T^{4} - 167268 T^{5} + 942649 T^{6} - 4098786 T^{7} + 15094594 T^{8} - 37483220 T^{9} + 69343957 T^{10} )^{2} \))(\( ( 1 - 25 T^{2} + 1369 T^{4} )^{4} \))(\( ( 1 + 8 T + 115 T^{2} + 568 T^{3} + 4255 T^{4} + 10952 T^{5} + 50653 T^{6} )^{4} \))(\( ( 1 - 16 T + 212 T^{2} - 1840 T^{3} + 12966 T^{4} - 68080 T^{5} + 290228 T^{6} - 810448 T^{7} + 1874161 T^{8} )^{4} \))(\( 1 - 6 T - T^{2} - 222 T^{3} + 1369 T^{4} \))(\( 1 - 6 T - T^{2} - 222 T^{3} + 1369 T^{4} \))(\( 1 - 5 T - 12 T^{2} - 185 T^{3} + 1369 T^{4} \))(\( ( 1 + T + 37 T^{2} )( 1 + 10 T + 37 T^{2} ) \))(\( ( 1 + T + 37 T^{2} )( 1 + 10 T + 37 T^{2} ) \))(\( 1 - 5 T - 12 T^{2} - 185 T^{3} + 1369 T^{4} \))(\( 1 + 3 T - 28 T^{2} + 111 T^{3} + 1369 T^{4} \))(\( 1 + 3 T - 28 T^{2} + 111 T^{3} + 1369 T^{4} \))(\( 1 - 8 T - 6 T^{2} + 32 T^{3} + 1163 T^{4} + 1184 T^{5} - 8214 T^{6} - 405224 T^{7} + 1874161 T^{8} \))(\( 1 - 8 T - 6 T^{2} + 32 T^{3} + 1163 T^{4} + 1184 T^{5} - 8214 T^{6} - 405224 T^{7} + 1874161 T^{8} \))(\( ( 1 - 11 T + 37 T^{2} )^{2}( 1 + T + 37 T^{2} )^{2} \))(\( 1 - 4 T - 59 T^{2} - 12 T^{3} + 2274 T^{4} + 5924 T^{5} - 107987 T^{6} + 219188 T^{7} + 3113106 T^{8} - 607836 T^{9} - 110575499 T^{10} - 277375828 T^{11} + 2565726409 T^{12} \))(\( 1 - 75 T^{2} + 144 T^{3} + 2850 T^{4} - 5400 T^{5} - 101635 T^{6} - 199800 T^{7} + 3901650 T^{8} + 7294032 T^{9} - 140562075 T^{10} + 2565726409 T^{12} \))(\( ( 1 + 13 T + 57 T^{2} + 494 T^{3} + 4922 T^{4} + 18278 T^{5} + 78033 T^{6} + 658489 T^{7} + 1874161 T^{8} )^{2} \))(\( ( 1 + 20 T + 102 T^{2} - 28 T^{3} + 3447 T^{4} + 40400 T^{5} - 88172 T^{6} - 461824 T^{7} + 16224581 T^{8} + 65268292 T^{9} - 131680366 T^{10} + 2414926804 T^{11} + 22211451389 T^{12} - 23392771072 T^{13} - 165248523692 T^{14} + 2801495862800 T^{15} + 8844058931823 T^{16} - 2658092559724 T^{17} + 358272904299942 T^{18} + 2599234795901540 T^{19} + 4808584372417849 T^{20} )^{2} \))(\( 1 - 13 T + 57 T^{2} - 335 T^{3} + 2996 T^{4} - 12395 T^{5} + 78033 T^{6} - 658489 T^{7} + 1874161 T^{8} \))(\( 1 - 13 T + 57 T^{2} - 335 T^{3} + 2996 T^{4} - 12395 T^{5} + 78033 T^{6} - 658489 T^{7} + 1874161 T^{8} \))(\( ( 1 + 6 T + 37 T^{2} )^{4}( 1 - 6 T - T^{2} + 228 T^{3} - 1331 T^{4} + 8436 T^{5} - 1369 T^{6} - 303918 T^{7} + 1874161 T^{8} ) \))(\( 1 - 6 T - 63 T^{2} + 520 T^{3} + 1350 T^{4} - 12954 T^{5} - 20209 T^{6} + 92390 T^{7} + 1366879 T^{8} + 3418430 T^{9} - 27666121 T^{10} - 656158962 T^{11} + 2530117350 T^{12} + 36058857640 T^{13} - 161640763767 T^{14} - 569591262798 T^{15} + 3512479453921 T^{16} \))(\( 1 - 4 T - 64 T^{2} + 392 T^{3} + 2308 T^{4} - 10820 T^{5} - 47691 T^{6} - 31178 T^{7} + 2748163 T^{8} + 12045860 T^{9} - 124307808 T^{10} - 75116270 T^{11} + 4767089611 T^{12} - 456957494 T^{13} - 122520873497 T^{14} + 217199596514 T^{15} + 4709853143282 T^{16} + 8036385071018 T^{17} - 167731075817393 T^{18} - 23146267943582 T^{19} + 8934293432441371 T^{20} - 5208859396880390 T^{21} - 318939825830501472 T^{22} + 1143536101481319380 T^{23} + 9652866073525897123 T^{24} - 4051947123330910706 T^{25} - \)\(22\!\cdots\!59\)\( T^{26} - \)\(19\!\cdots\!60\)\( T^{27} + \)\(15\!\cdots\!48\)\( T^{28} + \)\(95\!\cdots\!24\)\( T^{29} - \)\(57\!\cdots\!96\)\( T^{30} - \)\(13\!\cdots\!72\)\( T^{31} + \)\(12\!\cdots\!41\)\( T^{32} \))(\( ( 1 - 2 T - 83 T^{2} + 66 T^{3} + 3008 T^{4} - 2156 T^{5} + 8039 T^{6} - 17192 T^{7} - 2481617 T^{8} - 636104 T^{9} + 11005391 T^{10} - 109207868 T^{11} + 5637476288 T^{12} + 4576701162 T^{13} - 212955291947 T^{14} - 189863754266 T^{15} + 3512479453921 T^{16} )^{2} \))(\( 1 + 24 T + 161 T^{2} - 935 T^{3} - 19237 T^{4} - 63475 T^{5} + 613162 T^{6} + 5153872 T^{7} - 7507976 T^{8} - 222767219 T^{9} - 384972308 T^{10} + 5790811763 T^{11} + 19736863968 T^{12} - 91730117121 T^{13} + 352899707971 T^{14} + 11243722259560 T^{15} + 18559155604155 T^{16} - 562425788354294 T^{17} - 3539541584054670 T^{18} + 7678178617292415 T^{19} + 161194898505014599 T^{20} + 284092608839819355 T^{21} - 4845632428570843230 T^{22} - 28488553457510053982 T^{23} + 34782845626238738955 T^{24} + \)\(77\!\cdots\!20\)\( T^{25} + \)\(90\!\cdots\!39\)\( T^{26} - \)\(87\!\cdots\!93\)\( T^{27} + \)\(69\!\cdots\!28\)\( T^{28} + \)\(75\!\cdots\!51\)\( T^{29} - \)\(18\!\cdots\!92\)\( T^{30} - \)\(39\!\cdots\!47\)\( T^{31} - \)\(49\!\cdots\!56\)\( T^{32} + \)\(12\!\cdots\!84\)\( T^{33} + \)\(55\!\cdots\!18\)\( T^{34} - \)\(21\!\cdots\!75\)\( T^{35} - \)\(23\!\cdots\!17\)\( T^{36} - \)\(42\!\cdots\!95\)\( T^{37} + \)\(27\!\cdots\!69\)\( T^{38} + \)\(14\!\cdots\!52\)\( T^{39} + \)\(23\!\cdots\!01\)\( T^{40} \))(\( 1 + 24 T + 161 T^{2} - 935 T^{3} - 19237 T^{4} - 63475 T^{5} + 613162 T^{6} + 5153872 T^{7} - 7507976 T^{8} - 222767219 T^{9} - 384972308 T^{10} + 5790811763 T^{11} + 19736863968 T^{12} - 91730117121 T^{13} + 352899707971 T^{14} + 11243722259560 T^{15} + 18559155604155 T^{16} - 562425788354294 T^{17} - 3539541584054670 T^{18} + 7678178617292415 T^{19} + 161194898505014599 T^{20} + 284092608839819355 T^{21} - 4845632428570843230 T^{22} - 28488553457510053982 T^{23} + 34782845626238738955 T^{24} + \)\(77\!\cdots\!20\)\( T^{25} + \)\(90\!\cdots\!39\)\( T^{26} - \)\(87\!\cdots\!93\)\( T^{27} + \)\(69\!\cdots\!28\)\( T^{28} + \)\(75\!\cdots\!51\)\( T^{29} - \)\(18\!\cdots\!92\)\( T^{30} - \)\(39\!\cdots\!47\)\( T^{31} - \)\(49\!\cdots\!56\)\( T^{32} + \)\(12\!\cdots\!84\)\( T^{33} + \)\(55\!\cdots\!18\)\( T^{34} - \)\(21\!\cdots\!75\)\( T^{35} - \)\(23\!\cdots\!17\)\( T^{36} - \)\(42\!\cdots\!95\)\( T^{37} + \)\(27\!\cdots\!69\)\( T^{38} + \)\(14\!\cdots\!52\)\( T^{39} + \)\(23\!\cdots\!01\)\( T^{40} \))(\( ( 1 - 6 T - T^{2} - 222 T^{3} + 1369 T^{4} )^{2} \))(\( ( 1 - 11 T + 37 T^{2} )^{4}( 1 + 10 T + 37 T^{2} )^{4} \))(\( ( 1 - 8 T - 51 T^{2} + 216 T^{3} + 4426 T^{4} - 8192 T^{5} - 153011 T^{6} - 303104 T^{7} + 6059194 T^{8} + 10941048 T^{9} - 95582211 T^{10} - 554751656 T^{11} + 2565726409 T^{12} )^{2} \))(\( ( 1 + 25 T^{2} - 744 T^{4} + 34225 T^{6} + 1874161 T^{8} )^{4} \))(\( 1 + 13 T + 112 T^{2} + 71 T^{3} - 4102 T^{4} - 46406 T^{5} - 63616 T^{6} + 1263548 T^{7} + 15622363 T^{8} + 46751276 T^{9} - 87090304 T^{10} - 2350603118 T^{11} - 7687808422 T^{12} + 4923420947 T^{13} + 287361357808 T^{14} + 1234114402729 T^{15} + 3512479453921 T^{16} \))(\( 1 + 6 T + 99 T^{2} + 662 T^{3} + 5739 T^{4} + 29514 T^{5} + 237308 T^{6} + 716560 T^{7} + 4809854 T^{8} + 17329244 T^{9} + 22995413 T^{10} + 480402038 T^{11} + 2695419596 T^{12} + 38023386470 T^{13} + 235277510708 T^{14} + 3056978579838 T^{15} + 9263636009781 T^{16} + 113108207454006 T^{17} + 322094912159252 T^{18} + 1925998594864910 T^{19} + 5051650285458956 T^{20} + 33312978265784366 T^{21} + 58999938419961917 T^{22} + 1645097662215777452 T^{23} + 16894513351359737534 T^{24} + 93125384267560375120 T^{25} + \)\(11\!\cdots\!92\)\( T^{26} + \)\(52\!\cdots\!82\)\( T^{27} + \)\(37\!\cdots\!59\)\( T^{28} + \)\(16\!\cdots\!14\)\( T^{29} + \)\(89\!\cdots\!11\)\( T^{30} + \)\(20\!\cdots\!58\)\( T^{31} + \)\(12\!\cdots\!41\)\( T^{32} \))(\( 1 + 6 T + 99 T^{2} + 662 T^{3} + 5739 T^{4} + 29514 T^{5} + 237308 T^{6} + 716560 T^{7} + 4809854 T^{8} + 17329244 T^{9} + 22995413 T^{10} + 480402038 T^{11} + 2695419596 T^{12} + 38023386470 T^{13} + 235277510708 T^{14} + 3056978579838 T^{15} + 9263636009781 T^{16} + 113108207454006 T^{17} + 322094912159252 T^{18} + 1925998594864910 T^{19} + 5051650285458956 T^{20} + 33312978265784366 T^{21} + 58999938419961917 T^{22} + 1645097662215777452 T^{23} + 16894513351359737534 T^{24} + 93125384267560375120 T^{25} + \)\(11\!\cdots\!92\)\( T^{26} + \)\(52\!\cdots\!82\)\( T^{27} + \)\(37\!\cdots\!59\)\( T^{28} + \)\(16\!\cdots\!14\)\( T^{29} + \)\(89\!\cdots\!11\)\( T^{30} + \)\(20\!\cdots\!58\)\( T^{31} + \)\(12\!\cdots\!41\)\( T^{32} \))(\( ( 1 - 6 T - T^{2} - 222 T^{3} + 1369 T^{4} )^{4}( 1 + 6 T + 37 T^{2} + 450 T^{3} + 2700 T^{4} + 7764 T^{5} + 98531 T^{6} + 582300 T^{7} + 1619639 T^{8} + 21545100 T^{9} + 134888939 T^{10} + 393269892 T^{11} + 5060234700 T^{12} + 31204780650 T^{13} + 94931877133 T^{14} + 569591262798 T^{15} + 3512479453921 T^{16} ) \))(\( ( 1 - 6 T - T^{2} - 222 T^{3} + 1369 T^{4} )^{4}( 1 + 6 T + 37 T^{2} + 450 T^{3} + 2700 T^{4} + 7764 T^{5} + 98531 T^{6} + 582300 T^{7} + 1619639 T^{8} + 21545100 T^{9} + 134888939 T^{10} + 393269892 T^{11} + 5060234700 T^{12} + 31204780650 T^{13} + 94931877133 T^{14} + 569591262798 T^{15} + 3512479453921 T^{16} ) \))(\( ( 1 - 29 T + 437 T^{2} - 4520 T^{3} + 38710 T^{4} - 305351 T^{5} + 2282596 T^{6} - 15742950 T^{7} + 99875169 T^{8} - 582489150 T^{9} + 3124873924 T^{10} - 15466944203 T^{11} + 72548772310 T^{12} - 313434685640 T^{13} + 1121222440733 T^{14} - 2753024436857 T^{15} + 3512479453921 T^{16} )^{2} \))(\( ( 1 + 31 T + 497 T^{2} + 5500 T^{3} + 44980 T^{4} + 274219 T^{5} + 1229926 T^{6} + 3998760 T^{7} + 14516169 T^{8} + 147954120 T^{9} + 1683768694 T^{10} + 13890015007 T^{11} + 84299761780 T^{12} + 381391763500 T^{13} + 1275166025273 T^{14} + 2942888191123 T^{15} + 3512479453921 T^{16} )^{2} \))
$41$ (\( 1 - 8 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 + 4 T + 41 T^{2} \))(\( 1 + 50 T^{2} + 1681 T^{4} \))(\( 1 - 18 T + 158 T^{2} - 738 T^{3} + 1681 T^{4} \))(\( 1 + 9 T + 129 T^{2} + 739 T^{3} + 5289 T^{4} + 15129 T^{5} + 68921 T^{6} \))(\( 1 + 5 T + 43 T^{2} + 301 T^{3} + 1763 T^{4} + 8405 T^{5} + 68921 T^{6} \))(\( 1 - 5 T + 43 T^{2} - 301 T^{3} + 1763 T^{4} - 8405 T^{5} + 68921 T^{6} \))(\( 1 - 9 T + 129 T^{2} - 739 T^{3} + 5289 T^{4} - 15129 T^{5} + 68921 T^{6} \))(\( 1 + 144 T^{2} + 8478 T^{4} + 242064 T^{6} + 2825761 T^{8} \))(\( 1 + 242 T^{2} + 26221 T^{4} + 1708760 T^{6} + 79854498 T^{8} + 3281591788 T^{10} + 134235411138 T^{12} + 4828547366360 T^{14} + 124552483303261 T^{16} + 1932351905447282 T^{18} + 13422659310152401 T^{20} \))(\( ( 1 + 41 T^{2} )^{8} \))(\( ( 1 + 147 T^{2} + 11733 T^{4} + 590425 T^{6} + 19723173 T^{8} + 415386867 T^{10} + 4750104241 T^{12} )^{2} \))(\( ( 1 + 160 T^{2} + 13260 T^{4} + 806528 T^{6} + 38046966 T^{8} + 1355773568 T^{10} + 37469590860 T^{12} + 760016678560 T^{14} + 7984925229121 T^{16} )^{2} \))(\( ( 1 - 4 T + 41 T^{2} )^{2} \))(\( ( 1 + 4 T + 41 T^{2} )^{2} \))(\( ( 1 - 2 T + 41 T^{2} )^{2} \))(\( ( 1 - 6 T + 41 T^{2} )^{2} \))(\( ( 1 + 6 T + 41 T^{2} )^{2} \))(\( ( 1 + 2 T + 41 T^{2} )^{2} \))(\( ( 1 - 8 T + 41 T^{2} )^{2} \))(\( ( 1 + 8 T + 41 T^{2} )^{2} \))(\( ( 1 + 18 T + 158 T^{2} + 738 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 - 18 T + 158 T^{2} - 738 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 + 50 T^{2} + 1681 T^{4} )^{2} \))(\( ( 1 - 5 T + 43 T^{2} - 301 T^{3} + 1763 T^{4} - 8405 T^{5} + 68921 T^{6} )^{2} \))(\( ( 1 + 9 T + 129 T^{2} + 739 T^{3} + 5289 T^{4} + 15129 T^{5} + 68921 T^{6} )^{2} \))(\( ( 1 + 144 T^{2} + 8478 T^{4} + 242064 T^{6} + 2825761 T^{8} )^{2} \))(\( ( 1 + 242 T^{2} + 26221 T^{4} + 1708760 T^{6} + 79854498 T^{8} + 3281591788 T^{10} + 134235411138 T^{12} + 4828547366360 T^{14} + 124552483303261 T^{16} + 1932351905447282 T^{18} + 13422659310152401 T^{20} )^{2} \))(\( 1 - T - 25 T^{2} + 221 T^{3} + 1064 T^{4} + 9061 T^{5} - 42025 T^{6} - 68921 T^{7} + 2825761 T^{8} \))(\( 1 + T - 25 T^{2} - 221 T^{3} + 1064 T^{4} - 9061 T^{5} - 42025 T^{6} + 68921 T^{7} + 2825761 T^{8} \))(\( ( 1 - 41 T^{2} + 1681 T^{4} - 68921 T^{6} + 2825761 T^{8} )^{2} \))(\( 1 - 22 T + 160 T^{2} - 414 T^{3} + 2641 T^{4} - 46342 T^{5} + 334288 T^{6} - 1062556 T^{7} + 2274033 T^{8} - 43564796 T^{9} + 561938128 T^{10} - 3193936982 T^{11} + 7462834801 T^{12} - 47964467214 T^{13} + 760016678560 T^{14} - 4284594025382 T^{15} + 7984925229121 T^{16} \))(\( 1 - 10 T + 32 T^{2} - 192 T^{3} + 5438 T^{4} - 48920 T^{5} + 140400 T^{6} - 769008 T^{7} + 14682039 T^{8} - 96831496 T^{9} + 182717296 T^{10} - 1985070190 T^{11} + 32206741548 T^{12} - 131499578440 T^{13} + 27334729480 T^{14} - 4391234846920 T^{15} + 62202943867805 T^{16} - 180040628723720 T^{17} + 45949680255880 T^{18} - 9063082445663240 T^{19} + 91008554203418028 T^{20} - 229982690931748190 T^{21} + 867926202633652336 T^{22} - 18858347692290955976 T^{23} + \)\(11\!\cdots\!19\)\( T^{24} - \)\(25\!\cdots\!88\)\( T^{25} + \)\(18\!\cdots\!00\)\( T^{26} - \)\(26\!\cdots\!20\)\( T^{27} + \)\(12\!\cdots\!78\)\( T^{28} - \)\(17\!\cdots\!32\)\( T^{29} + \)\(12\!\cdots\!52\)\( T^{30} - \)\(15\!\cdots\!10\)\( T^{31} + \)\(63\!\cdots\!41\)\( T^{32} \))(\( 1 + 126 T^{2} + 10688 T^{4} + 712366 T^{6} + 41500777 T^{8} + 2241689150 T^{10} + 112091093112 T^{12} + 5198650736508 T^{14} + 223174545796985 T^{16} + 8738931888069948 T^{18} + 316742639363258232 T^{20} + 10648257138418685150 T^{22} + \)\(33\!\cdots\!17\)\( T^{24} + \)\(95\!\cdots\!66\)\( T^{26} + \)\(24\!\cdots\!28\)\( T^{28} + \)\(47\!\cdots\!86\)\( T^{30} + \)\(63\!\cdots\!41\)\( T^{32} \))(\( 1 + 30 T + 269 T^{2} - 1041 T^{3} - 34609 T^{4} - 145611 T^{5} + 1467280 T^{6} + 15076437 T^{7} - 9298647 T^{8} - 616402869 T^{9} - 497760395 T^{10} + 24443928441 T^{11} + 18922106394 T^{12} - 1425076224843 T^{13} - 5211681932696 T^{14} + 50623557560481 T^{15} + 405558128026037 T^{16} - 369068267762615 T^{17} - 13018486951223358 T^{18} - 14165286617504090 T^{19} + 297467228228980184 T^{20} - 580776751317667690 T^{21} - 21884076565006464798 T^{22} - 25436554082467188415 T^{23} + \)\(11\!\cdots\!57\)\( T^{24} + \)\(58\!\cdots\!81\)\( T^{25} - \)\(24\!\cdots\!36\)\( T^{26} - \)\(27\!\cdots\!83\)\( T^{27} + \)\(15\!\cdots\!74\)\( T^{28} + \)\(80\!\cdots\!01\)\( T^{29} - \)\(66\!\cdots\!95\)\( T^{30} - \)\(33\!\cdots\!29\)\( T^{31} - \)\(20\!\cdots\!07\)\( T^{32} + \)\(13\!\cdots\!77\)\( T^{33} + \)\(55\!\cdots\!80\)\( T^{34} - \)\(22\!\cdots\!11\)\( T^{35} - \)\(22\!\cdots\!69\)\( T^{36} - \)\(27\!\cdots\!21\)\( T^{37} + \)\(28\!\cdots\!49\)\( T^{38} + \)\(13\!\cdots\!30\)\( T^{39} + \)\(18\!\cdots\!01\)\( T^{40} \))(\( 1 - 30 T + 269 T^{2} + 1041 T^{3} - 34609 T^{4} + 145611 T^{5} + 1467280 T^{6} - 15076437 T^{7} - 9298647 T^{8} + 616402869 T^{9} - 497760395 T^{10} - 24443928441 T^{11} + 18922106394 T^{12} + 1425076224843 T^{13} - 5211681932696 T^{14} - 50623557560481 T^{15} + 405558128026037 T^{16} + 369068267762615 T^{17} - 13018486951223358 T^{18} + 14165286617504090 T^{19} + 297467228228980184 T^{20} + 580776751317667690 T^{21} - 21884076565006464798 T^{22} + 25436554082467188415 T^{23} + \)\(11\!\cdots\!57\)\( T^{24} - \)\(58\!\cdots\!81\)\( T^{25} - \)\(24\!\cdots\!36\)\( T^{26} + \)\(27\!\cdots\!83\)\( T^{27} + \)\(15\!\cdots\!74\)\( T^{28} - \)\(80\!\cdots\!01\)\( T^{29} - \)\(66\!\cdots\!95\)\( T^{30} + \)\(33\!\cdots\!29\)\( T^{31} - \)\(20\!\cdots\!07\)\( T^{32} - \)\(13\!\cdots\!77\)\( T^{33} + \)\(55\!\cdots\!80\)\( T^{34} + \)\(22\!\cdots\!11\)\( T^{35} - \)\(22\!\cdots\!69\)\( T^{36} + \)\(27\!\cdots\!21\)\( T^{37} + \)\(28\!\cdots\!49\)\( T^{38} - \)\(13\!\cdots\!30\)\( T^{39} + \)\(18\!\cdots\!01\)\( T^{40} \))(\( ( 1 + 41 T^{2} )^{4} \))(\( ( 1 - 8 T^{2} + 1681 T^{4} )^{4} \))(\( ( 1 + 147 T^{2} + 11733 T^{4} + 590425 T^{6} + 19723173 T^{8} + 415386867 T^{10} + 4750104241 T^{12} )^{2} \))(\( ( 1 + 41 T^{2} )^{16} \))(\( ( 1 + T - 25 T^{2} - 221 T^{3} + 1064 T^{4} - 9061 T^{5} - 42025 T^{6} + 68921 T^{7} + 2825761 T^{8} )^{2} \))(\( ( 1 - 22 T + 160 T^{2} - 414 T^{3} + 2641 T^{4} - 46342 T^{5} + 334288 T^{6} - 1062556 T^{7} + 2274033 T^{8} - 43564796 T^{9} + 561938128 T^{10} - 3193936982 T^{11} + 7462834801 T^{12} - 47964467214 T^{13} + 760016678560 T^{14} - 4284594025382 T^{15} + 7984925229121 T^{16} )^{2} \))(\( ( 1 + 22 T + 160 T^{2} + 414 T^{3} + 2641 T^{4} + 46342 T^{5} + 334288 T^{6} + 1062556 T^{7} + 2274033 T^{8} + 43564796 T^{9} + 561938128 T^{10} + 3193936982 T^{11} + 7462834801 T^{12} + 47964467214 T^{13} + 760016678560 T^{14} + 4284594025382 T^{15} + 7984925229121 T^{16} )^{2} \))(\( ( 1 - 41 T^{2} + 1681 T^{4} - 68921 T^{6} + 2825761 T^{8} )^{4} \))(\( ( 1 - 41 T^{2} + 1681 T^{4} - 68921 T^{6} + 2825761 T^{8} )^{4} \))(\( 1 - 54 T^{2} + 5160 T^{4} - 368270 T^{6} + 20358825 T^{8} - 1151359622 T^{10} + 57899888128 T^{12} - 2567003976540 T^{14} + 113908617753985 T^{16} - 4315133684563740 T^{18} + 163611245776465408 T^{20} - 5469078223378356902 T^{22} + \)\(16\!\cdots\!25\)\( T^{24} - \)\(49\!\cdots\!70\)\( T^{26} + \)\(11\!\cdots\!60\)\( T^{28} - \)\(20\!\cdots\!94\)\( T^{30} + \)\(63\!\cdots\!41\)\( T^{32} \))(\( 1 - 54 T^{2} + 5160 T^{4} - 368270 T^{6} + 20358825 T^{8} - 1151359622 T^{10} + 57899888128 T^{12} - 2567003976540 T^{14} + 113908617753985 T^{16} - 4315133684563740 T^{18} + 163611245776465408 T^{20} - 5469078223378356902 T^{22} + \)\(16\!\cdots\!25\)\( T^{24} - \)\(49\!\cdots\!70\)\( T^{26} + \)\(11\!\cdots\!60\)\( T^{28} - \)\(20\!\cdots\!94\)\( T^{30} + \)\(63\!\cdots\!41\)\( T^{32} \))
$43$ (\( 1 + 6 T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 + 8 T + 43 T^{2} \))(\( 1 - 12 T + 43 T^{2} \))(\( ( 1 + 8 T + 43 T^{2} )^{2} \))(\( ( 1 - 8 T + 43 T^{2} )^{2} \))(\( 1 + 120 T^{2} + 9 T^{3} + 5160 T^{4} + 79507 T^{6} \))(\( 1 - 2 T + 104 T^{2} - 131 T^{3} + 4472 T^{4} - 3698 T^{5} + 79507 T^{6} \))(\( 1 - 2 T + 104 T^{2} - 131 T^{3} + 4472 T^{4} - 3698 T^{5} + 79507 T^{6} \))(\( 1 + 120 T^{2} + 9 T^{3} + 5160 T^{4} + 79507 T^{6} \))(\( ( 1 + 4 T + 22 T^{2} + 172 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 + 4 T + 159 T^{2} + 640 T^{3} + 11522 T^{4} + 40504 T^{5} + 495446 T^{6} + 1183360 T^{7} + 12641613 T^{8} + 13675204 T^{9} + 147008443 T^{10} )^{2} \))(\( ( 1 - 43 T^{2} )^{8} \))(\( ( 1 - 182 T^{2} + 16094 T^{4} - 864959 T^{6} + 29757806 T^{8} - 622221782 T^{10} + 6321363049 T^{12} )^{2} \))(\( ( 1 - 96 T^{2} + 4972 T^{4} - 197024 T^{6} + 7339718 T^{8} - 364297376 T^{10} + 16998278572 T^{12} - 606850852704 T^{14} + 11688200277601 T^{16} )^{2} \))(\( ( 1 - 12 T + 43 T^{2} )^{2} \))(\( ( 1 - 12 T + 43 T^{2} )^{2} \))(\( ( 1 + 8 T + 43 T^{2} )^{2} \))(\( ( 1 - 8 T + 43 T^{2} )^{2} \))(\( ( 1 - 8 T + 43 T^{2} )^{2} \))(\( ( 1 + 8 T + 43 T^{2} )^{2} \))(\( ( 1 + 6 T + 43 T^{2} )^{2} \))(\( ( 1 + 6 T + 43 T^{2} )^{2} \))(\( ( 1 - 8 T + 43 T^{2} )^{4} \))(\( ( 1 - 8 T + 43 T^{2} )^{4} \))(\( ( 1 + 8 T + 43 T^{2} )^{4} \))(\( ( 1 - 2 T + 104 T^{2} - 131 T^{3} + 4472 T^{4} - 3698 T^{5} + 79507 T^{6} )^{2} \))(\( ( 1 + 120 T^{2} + 9 T^{3} + 5160 T^{4} + 79507 T^{6} )^{2} \))(\( ( 1 + 4 T + 22 T^{2} + 172 T^{3} + 1849 T^{4} )^{4} \))(\( ( 1 + 4 T + 159 T^{2} + 640 T^{3} + 11522 T^{4} + 40504 T^{5} + 495446 T^{6} + 1183360 T^{7} + 12641613 T^{8} + 13675204 T^{9} + 147008443 T^{10} )^{4} \))(\( ( 1 - 7 T + 87 T^{2} - 301 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 - 7 T + 87 T^{2} - 301 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 - 12 T + 101 T^{2} - 696 T^{3} + 4009 T^{4} - 29928 T^{5} + 186749 T^{6} - 954084 T^{7} + 3418801 T^{8} )^{2} \))(\( ( 1 - 4 T + 45 T^{2} - 172 T^{3} + 1849 T^{4} )^{4} \))(\( ( 1 + 4 T + 239 T^{2} + 936 T^{3} + 27462 T^{4} + 98508 T^{5} + 2007760 T^{6} + 6271668 T^{7} + 102278657 T^{8} + 269681724 T^{9} + 3712348240 T^{10} + 7832075556 T^{11} + 93887113062 T^{12} + 137599902648 T^{13} + 1510805768711 T^{14} + 1087274444428 T^{15} + 11688200277601 T^{16} )^{2} \))(\( ( 1 - 2 T + 100 T^{2} - 160 T^{3} + 5533 T^{4} - 6880 T^{5} + 184900 T^{6} - 159014 T^{7} + 3418801 T^{8} )^{4} \))(\( ( 1 + 18 T + 376 T^{2} + 4167 T^{3} + 49953 T^{4} + 393275 T^{5} + 3464241 T^{6} + 20857613 T^{7} + 157629242 T^{8} + 818500143 T^{9} + 6411837926 T^{10} + 35195506149 T^{11} + 291456468458 T^{12} + 1658326236791 T^{13} + 11843550595041 T^{14} + 57814745420825 T^{15} + 315771048386697 T^{16} + 1132668152482869 T^{17} + 4394763304377976 T^{18} + 9046667014863174 T^{19} + 21611482313284249 T^{20} )^{2} \))(\( ( 1 + 18 T + 376 T^{2} + 4167 T^{3} + 49953 T^{4} + 393275 T^{5} + 3464241 T^{6} + 20857613 T^{7} + 157629242 T^{8} + 818500143 T^{9} + 6411837926 T^{10} + 35195506149 T^{11} + 291456468458 T^{12} + 1658326236791 T^{13} + 11843550595041 T^{14} + 57814745420825 T^{15} + 315771048386697 T^{16} + 1132668152482869 T^{17} + 4394763304377976 T^{18} + 9046667014863174 T^{19} + 21611482313284249 T^{20} )^{2} \))(\( ( 1 - 12 T + 43 T^{2} )^{2}( 1 + 12 T + 43 T^{2} )^{2} \))(\( ( 1 - 68 T^{2} + 1849 T^{4} )^{4} \))(\( ( 1 - 182 T^{2} + 16094 T^{4} - 864959 T^{6} + 29757806 T^{8} - 622221782 T^{10} + 6321363049 T^{12} )^{2} \))(\( ( 1 - 43 T^{2} )^{16} \))(\( ( 1 - 7 T + 87 T^{2} - 301 T^{3} + 1849 T^{4} )^{4} \))(\( ( 1 - 4 T + 45 T^{2} - 172 T^{3} + 1849 T^{4} )^{8} \))(\( ( 1 - 4 T + 45 T^{2} - 172 T^{3} + 1849 T^{4} )^{8} \))(\( ( 1 - 12 T + 101 T^{2} - 696 T^{3} + 4009 T^{4} - 29928 T^{5} + 186749 T^{6} - 954084 T^{7} + 3418801 T^{8} )^{4} \))(\( ( 1 - 12 T + 101 T^{2} - 696 T^{3} + 4009 T^{4} - 29928 T^{5} + 186749 T^{6} - 954084 T^{7} + 3418801 T^{8} )^{2}( 1 + 12 T + 101 T^{2} + 696 T^{3} + 4009 T^{4} + 29928 T^{5} + 186749 T^{6} + 954084 T^{7} + 3418801 T^{8} )^{2} \))(\( ( 1 - 13 T + 43 T^{2} )^{8}( 1 + 13 T + 43 T^{2} )^{8} \))(\( ( 1 - 13 T + 43 T^{2} )^{8}( 1 + 13 T + 43 T^{2} )^{8} \))
$47$ (\( 1 + 8 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 8 T + 47 T^{2} \))(\( 1 - 10 T + 47 T^{2} \))(\( 1 - 4 T^{2} + 2209 T^{4} \))(\( 1 + 10 T + 114 T^{2} + 470 T^{3} + 2209 T^{4} \))(\( 1 - 3 T + 63 T^{2} + 41 T^{3} + 2961 T^{4} - 6627 T^{5} + 103823 T^{6} \))(\( 1 + 3 T + 139 T^{2} + 275 T^{3} + 6533 T^{4} + 6627 T^{5} + 103823 T^{6} \))(\( 1 - 3 T + 139 T^{2} - 275 T^{3} + 6533 T^{4} - 6627 T^{5} + 103823 T^{6} \))(\( 1 + 3 T + 63 T^{2} - 41 T^{3} + 2961 T^{4} + 6627 T^{5} + 103823 T^{6} \))(\( 1 + 168 T^{2} + 11406 T^{4} + 371112 T^{6} + 4879681 T^{8} \))(\( 1 + 100 T^{2} + 12773 T^{4} + 860144 T^{6} + 60083402 T^{8} + 2824202520 T^{10} + 132724235018 T^{12} + 4197228334064 T^{14} + 137682917397317 T^{16} + 2381128666176100 T^{18} + 52599132235830049 T^{20} \))(\( 1 - 6080638 T^{8} + 23811286661761 T^{16} \))(\( ( 1 - 227 T^{2} + 23729 T^{4} - 1430243 T^{6} + 52417361 T^{8} - 1107687587 T^{10} + 10779215329 T^{12} )^{2} \))(\( ( 1 - 40 T^{2} + 9192 T^{4} - 265352 T^{6} + 30848786 T^{8} - 586162568 T^{10} + 44854027752 T^{12} - 431168613160 T^{14} + 23811286661761 T^{16} )^{2} \))(\( 1 - 10 T + 53 T^{2} - 470 T^{3} + 2209 T^{4} \))(\( 1 + 10 T + 53 T^{2} + 470 T^{3} + 2209 T^{4} \))(\( 1 - 8 T + 17 T^{2} - 376 T^{3} + 2209 T^{4} \))(\( 1 - 47 T^{2} + 2209 T^{4} \))(\( 1 - 47 T^{2} + 2209 T^{4} \))(\( 1 + 8 T + 17 T^{2} + 376 T^{3} + 2209 T^{4} \))(\( 1 - 8 T + 17 T^{2} - 376 T^{3} + 2209 T^{4} \))(\( 1 + 8 T + 17 T^{2} + 376 T^{3} + 2209 T^{4} \))(\( 1 + 10 T - 14 T^{2} + 200 T^{3} + 6087 T^{4} + 9400 T^{5} - 30926 T^{6} + 1038230 T^{7} + 4879681 T^{8} \))(\( 1 - 10 T - 14 T^{2} - 200 T^{3} + 6087 T^{4} - 9400 T^{5} - 30926 T^{6} - 1038230 T^{7} + 4879681 T^{8} \))(\( 1 + 4 T^{2} - 2193 T^{4} + 8836 T^{6} + 4879681 T^{8} \))(\( 1 + 3 T - 130 T^{2} - 133 T^{3} + 11963 T^{4} + 5654 T^{5} - 644697 T^{6} + 265738 T^{7} + 26426267 T^{8} - 13808459 T^{9} - 634358530 T^{10} + 688035021 T^{11} + 10779215329 T^{12} \))(\( 1 + 3 T - 54 T^{2} + 271 T^{3} + 1131 T^{4} - 13722 T^{5} + 2903 T^{6} - 644934 T^{7} + 2498379 T^{8} + 28136033 T^{9} - 263502774 T^{10} + 688035021 T^{11} + 10779215329 T^{12} \))(\( 1 - 168 T^{2} + 16818 T^{4} - 1173984 T^{6} + 62870339 T^{8} - 2593330656 T^{10} + 82066475058 T^{12} - 1810908175272 T^{14} + 23811286661761 T^{16} \))(\( 1 - 100 T^{2} - 2773 T^{4} + 442988 T^{6} + 17051727 T^{8} - 1794141432 T^{10} - 44569374974 T^{12} + 2997048010168 T^{14} + 187270439061293 T^{16} - 3981018446306828 T^{18} - 382088652951346019 T^{20} - 8794069747891783052 T^{22} + \)\(91\!\cdots\!33\)\( T^{24} + \)\(32\!\cdots\!72\)\( T^{26} - \)\(10\!\cdots\!14\)\( T^{28} - \)\(94\!\cdots\!68\)\( T^{30} + \)\(19\!\cdots\!07\)\( T^{32} + \)\(11\!\cdots\!72\)\( T^{34} - \)\(15\!\cdots\!33\)\( T^{36} - \)\(12\!\cdots\!00\)\( T^{38} + \)\(27\!\cdots\!01\)\( T^{40} \))(\( 1 + 6 T + 29 T^{2} + 432 T^{3} + 4669 T^{4} + 20304 T^{5} + 64061 T^{6} + 622938 T^{7} + 4879681 T^{8} \))(\( 1 - 6 T + 29 T^{2} - 432 T^{3} + 4669 T^{4} - 20304 T^{5} + 64061 T^{6} - 622938 T^{7} + 4879681 T^{8} \))(\( ( 1 - 47 T^{2} + 2209 T^{4} - 103823 T^{6} + 4879681 T^{8} )^{2} \))(\( 1 + 7 T - 100 T^{2} - 1414 T^{3} + 286 T^{4} + 103523 T^{5} + 579636 T^{6} - 2543800 T^{7} - 42803781 T^{8} - 119558600 T^{9} + 1280415924 T^{10} + 10748068429 T^{11} + 1395588766 T^{12} - 324293839898 T^{13} - 1077921532900 T^{14} + 3546361843241 T^{15} + 23811286661761 T^{16} \))(\( 1 - 23 T + 186 T^{2} - 322 T^{3} - 4127 T^{4} + 30138 T^{5} - 70920 T^{6} - 1094344 T^{7} + 18527582 T^{8} - 119631636 T^{9} + 262096090 T^{10} + 2200503287 T^{11} - 30693701772 T^{12} + 88025997822 T^{13} + 1410058928022 T^{14} - 15969608141898 T^{15} + 104939392199145 T^{16} - 750571582669206 T^{17} + 3114820172000598 T^{18} + 9139123171873506 T^{19} - 149775473356494732 T^{20} + 504674441760538009 T^{21} + 2825190190998963610 T^{22} - 60608152736413767468 T^{23} + \)\(44\!\cdots\!02\)\( T^{24} - \)\(12\!\cdots\!48\)\( T^{25} - \)\(37\!\cdots\!80\)\( T^{26} + \)\(74\!\cdots\!14\)\( T^{27} - \)\(47\!\cdots\!07\)\( T^{28} - \)\(17\!\cdots\!94\)\( T^{29} + \)\(47\!\cdots\!34\)\( T^{30} - \)\(27\!\cdots\!89\)\( T^{31} + \)\(56\!\cdots\!21\)\( T^{32} \))(\( 1 - 53 T^{2} + 2818 T^{4} - 9028 T^{6} + 6439466 T^{8} - 54553405 T^{10} + 7843361822 T^{12} + 662765609170 T^{14} - 251567426693 T^{16} + 1464049230656530 T^{18} + 38273103658938782 T^{20} - 588042899425145245 T^{22} + \)\(15\!\cdots\!26\)\( T^{24} - \)\(47\!\cdots\!72\)\( T^{26} + \)\(32\!\cdots\!38\)\( T^{28} - \)\(13\!\cdots\!57\)\( T^{30} + \)\(56\!\cdots\!21\)\( T^{32} \))(\( 1 - 13 T + 13 T^{2} - 319 T^{3} + 7950 T^{4} - 33187 T^{5} + 355415 T^{6} - 3932972 T^{7} + 9785788 T^{8} - 103634347 T^{9} + 1515377274 T^{10} - 4863206462 T^{11} + 25452756372 T^{12} - 342428352586 T^{13} + 599553088060 T^{14} - 2930716590946 T^{15} + 65615828145810 T^{16} + 101946704915451 T^{17} - 975081033366841 T^{18} - 1986407919511705 T^{19} - 45716881212266621 T^{20} - 93361172217050135 T^{21} - 2153954002707351769 T^{22} + 10584412744436869173 T^{23} + \)\(32\!\cdots\!10\)\( T^{24} - \)\(67\!\cdots\!22\)\( T^{25} + \)\(64\!\cdots\!40\)\( T^{26} - \)\(17\!\cdots\!18\)\( T^{27} + \)\(60\!\cdots\!92\)\( T^{28} - \)\(54\!\cdots\!54\)\( T^{29} + \)\(79\!\cdots\!26\)\( T^{30} - \)\(25\!\cdots\!41\)\( T^{31} + \)\(11\!\cdots\!08\)\( T^{32} - \)\(21\!\cdots\!44\)\( T^{33} + \)\(91\!\cdots\!35\)\( T^{34} - \)\(40\!\cdots\!41\)\( T^{35} + \)\(45\!\cdots\!50\)\( T^{36} - \)\(85\!\cdots\!53\)\( T^{37} + \)\(16\!\cdots\!57\)\( T^{38} - \)\(76\!\cdots\!79\)\( T^{39} + \)\(27\!\cdots\!01\)\( T^{40} \))(\( 1 + 13 T + 13 T^{2} + 319 T^{3} + 7950 T^{4} + 33187 T^{5} + 355415 T^{6} + 3932972 T^{7} + 9785788 T^{8} + 103634347 T^{9} + 1515377274 T^{10} + 4863206462 T^{11} + 25452756372 T^{12} + 342428352586 T^{13} + 599553088060 T^{14} + 2930716590946 T^{15} + 65615828145810 T^{16} - 101946704915451 T^{17} - 975081033366841 T^{18} + 1986407919511705 T^{19} - 45716881212266621 T^{20} + 93361172217050135 T^{21} - 2153954002707351769 T^{22} - 10584412744436869173 T^{23} + \)\(32\!\cdots\!10\)\( T^{24} + \)\(67\!\cdots\!22\)\( T^{25} + \)\(64\!\cdots\!40\)\( T^{26} + \)\(17\!\cdots\!18\)\( T^{27} + \)\(60\!\cdots\!92\)\( T^{28} + \)\(54\!\cdots\!54\)\( T^{29} + \)\(79\!\cdots\!26\)\( T^{30} + \)\(25\!\cdots\!41\)\( T^{31} + \)\(11\!\cdots\!08\)\( T^{32} + \)\(21\!\cdots\!44\)\( T^{33} + \)\(91\!\cdots\!35\)\( T^{34} + \)\(40\!\cdots\!41\)\( T^{35} + \)\(45\!\cdots\!50\)\( T^{36} + \)\(85\!\cdots\!53\)\( T^{37} + \)\(16\!\cdots\!57\)\( T^{38} + \)\(76\!\cdots\!79\)\( T^{39} + \)\(27\!\cdots\!01\)\( T^{40} \))(\( ( 1 + 47 T^{2} + 2209 T^{4} )^{2} \))(\( ( 1 + 74 T^{2} + 3267 T^{4} + 163466 T^{6} + 4879681 T^{8} )^{2} \))(\( ( 1 - 9 T + 154 T^{2} - 1143 T^{3} + 12329 T^{4} - 71940 T^{5} + 665017 T^{6} - 3381180 T^{7} + 27234761 T^{8} - 118669689 T^{9} + 751470874 T^{10} - 2064105063 T^{11} + 10779215329 T^{12} )^{2} \))(\( 1 + 6080638 T^{8} + 13162871825283 T^{16} + \)\(14\!\cdots\!18\)\( T^{24} + \)\(56\!\cdots\!21\)\( T^{32} \))(\( 1 + 6 T + 7 T^{2} - 690 T^{3} - 6420 T^{4} - 23196 T^{5} + 57521 T^{6} + 1846680 T^{7} + 13766039 T^{8} + 86793960 T^{9} + 127063889 T^{10} - 2408278308 T^{11} - 31327552020 T^{12} - 158248054830 T^{13} + 75454507303 T^{14} + 3039738722778 T^{15} + 23811286661761 T^{16} \))(\( 1 - 7 T + 149 T^{2} - 2128 T^{3} + 19612 T^{4} - 240919 T^{5} + 2462607 T^{6} - 21813848 T^{7} + 211617499 T^{8} - 1862688919 T^{9} + 15071552909 T^{10} - 126763363055 T^{11} + 1005269592991 T^{12} - 7378260675254 T^{13} + 56266129109578 T^{14} - 404849575321212 T^{15} + 2719197771655735 T^{16} - 19027930040096964 T^{17} + 124291879203057802 T^{18} - 766033158086896042 T^{19} + 4905394932795915871 T^{20} - 29072544387192516385 T^{21} + \)\(16\!\cdots\!61\)\( T^{22} - \)\(94\!\cdots\!97\)\( T^{23} + \)\(50\!\cdots\!39\)\( T^{24} - \)\(24\!\cdots\!16\)\( T^{25} + \)\(12\!\cdots\!43\)\( T^{26} - \)\(59\!\cdots\!57\)\( T^{27} + \)\(22\!\cdots\!92\)\( T^{28} - \)\(11\!\cdots\!56\)\( T^{29} + \)\(38\!\cdots\!81\)\( T^{30} - \)\(84\!\cdots\!01\)\( T^{31} + \)\(56\!\cdots\!21\)\( T^{32} \))(\( 1 + 7 T + 149 T^{2} + 2128 T^{3} + 19612 T^{4} + 240919 T^{5} + 2462607 T^{6} + 21813848 T^{7} + 211617499 T^{8} + 1862688919 T^{9} + 15071552909 T^{10} + 126763363055 T^{11} + 1005269592991 T^{12} + 7378260675254 T^{13} + 56266129109578 T^{14} + 404849575321212 T^{15} + 2719197771655735 T^{16} + 19027930040096964 T^{17} + 124291879203057802 T^{18} + 766033158086896042 T^{19} + 4905394932795915871 T^{20} + 29072544387192516385 T^{21} + \)\(16\!\cdots\!61\)\( T^{22} + \)\(94\!\cdots\!97\)\( T^{23} + \)\(50\!\cdots\!39\)\( T^{24} + \)\(24\!\cdots\!16\)\( T^{25} + \)\(12\!\cdots\!43\)\( T^{26} + \)\(59\!\cdots\!57\)\( T^{27} + \)\(22\!\cdots\!92\)\( T^{28} + \)\(11\!\cdots\!56\)\( T^{29} + \)\(38\!\cdots\!81\)\( T^{30} + \)\(84\!\cdots\!01\)\( T^{31} + \)\(56\!\cdots\!21\)\( T^{32} \))(\( ( 1 + 47 T^{2} - 103823 T^{6} - 4879681 T^{8} - 229345007 T^{10} + 506623120463 T^{14} + 23811286661761 T^{16} )^{2} \))(\( ( 1 - 47 T^{2} + 103823 T^{6} - 4879681 T^{8} + 229345007 T^{10} - 506623120463 T^{14} + 23811286661761 T^{16} )^{2} \))(\( 1 + 116 T^{2} + 8299 T^{4} + 541801 T^{6} + 30418586 T^{8} + 1597979438 T^{10} + 91578091991 T^{12} + 5043249767323 T^{14} + 244675209667747 T^{16} + 11140538736016507 T^{18} + 446871875504734871 T^{20} + 17224964453516405102 T^{22} + \)\(72\!\cdots\!46\)\( T^{24} + \)\(28\!\cdots\!49\)\( T^{26} + \)\(96\!\cdots\!59\)\( T^{28} + \)\(29\!\cdots\!04\)\( T^{30} + \)\(56\!\cdots\!21\)\( T^{32} \))(\( 1 - 289 T^{2} + 41284 T^{4} - 3785804 T^{6} + 243877121 T^{8} - 11213948197 T^{10} + 347784269711 T^{12} - 5849952222482 T^{14} + 54364175336407 T^{16} - 12922544459462738 T^{18} + 1697076293007642191 T^{20} - \)\(12\!\cdots\!13\)\( T^{22} + \)\(58\!\cdots\!81\)\( T^{24} - \)\(19\!\cdots\!96\)\( T^{26} + \)\(47\!\cdots\!44\)\( T^{28} - \)\(74\!\cdots\!41\)\( T^{30} + \)\(56\!\cdots\!21\)\( T^{32} \))
$53$ (\( 1 + 6 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( ( 1 + 53 T^{2} )^{2} \))(\( 1 - 8 T + 102 T^{2} - 424 T^{3} + 2809 T^{4} \))(\( 1 - 9 T + 105 T^{2} - 495 T^{3} + 5565 T^{4} - 25281 T^{5} + 148877 T^{6} \))(\( 1 - 17 T + 233 T^{2} - 1823 T^{3} + 12349 T^{4} - 47753 T^{5} + 148877 T^{6} \))(\( 1 - 17 T + 233 T^{2} - 1823 T^{3} + 12349 T^{4} - 47753 T^{5} + 148877 T^{6} \))(\( 1 - 9 T + 105 T^{2} - 495 T^{3} + 5565 T^{4} - 25281 T^{5} + 148877 T^{6} \))(\( ( 1 + 2 T + 53 T^{2} )^{4} \))(\( ( 1 - 8 T + 137 T^{2} - 832 T^{3} + 9530 T^{4} - 54512 T^{5} + 505090 T^{6} - 2337088 T^{7} + 20396149 T^{8} - 63123848 T^{9} + 418195493 T^{10} )^{2} \))(\( ( 1 - 718 T^{4} + 7890481 T^{8} )^{2} \))(\( ( 1 - T + 93 T^{2} - 127 T^{3} + 4929 T^{4} - 2809 T^{5} + 148877 T^{6} )^{4} \))(\( ( 1 + 8 T + 200 T^{2} + 1224 T^{3} + 15554 T^{4} + 64872 T^{5} + 561800 T^{6} + 1191016 T^{7} + 7890481 T^{8} )^{4} \))(\( 1 - 6 T - 17 T^{2} - 318 T^{3} + 2809 T^{4} \))(\( 1 - 6 T - 17 T^{2} - 318 T^{3} + 2809 T^{4} \))(\( 1 - 6 T - 17 T^{2} - 318 T^{3} + 2809 T^{4} \))(\( 1 - 6 T - 17 T^{2} - 318 T^{3} + 2809 T^{4} \))(\( 1 - 6 T - 17 T^{2} - 318 T^{3} + 2809 T^{4} \))(\( 1 - 6 T - 17 T^{2} - 318 T^{3} + 2809 T^{4} \))(\( 1 - 6 T - 17 T^{2} - 318 T^{3} + 2809 T^{4} \))(\( 1 - 6 T - 17 T^{2} - 318 T^{3} + 2809 T^{4} \))(\( 1 + 8 T - 38 T^{2} - 32 T^{3} + 4203 T^{4} - 1696 T^{5} - 106742 T^{6} + 1191016 T^{7} + 7890481 T^{8} \))(\( 1 + 8 T - 38 T^{2} - 32 T^{3} + 4203 T^{4} - 1696 T^{5} - 106742 T^{6} + 1191016 T^{7} + 7890481 T^{8} \))(\( ( 1 - 53 T^{2} + 2809 T^{4} )^{2} \))(\( 1 + 17 T + 56 T^{2} + 315 T^{3} + 10949 T^{4} + 52646 T^{5} - 68035 T^{6} + 2790238 T^{7} + 30755741 T^{8} + 46896255 T^{9} + 441866936 T^{10} + 7109323381 T^{11} + 22164361129 T^{12} \))(\( 1 + 9 T - 24 T^{2} - 45 T^{3} + 1005 T^{4} - 22914 T^{5} - 269075 T^{6} - 1214442 T^{7} + 2823045 T^{8} - 6699465 T^{9} - 189371544 T^{10} + 3763759437 T^{11} + 22164361129 T^{12} \))(\( ( 1 - 2 T - 49 T^{2} - 106 T^{3} + 2809 T^{4} )^{4} \))(\( ( 1 + 8 T - 73 T^{2} - 568 T^{3} + 2583 T^{4} + 16016 T^{5} - 39302 T^{6} - 629520 T^{7} - 6733155 T^{8} + 36132152 T^{9} + 878951777 T^{10} + 1915004056 T^{11} - 18913432395 T^{12} - 93721049040 T^{13} - 310111684262 T^{14} + 6697819015888 T^{15} + 57250544796207 T^{16} - 667235927427416 T^{17} - 4544957400029353 T^{18} + 26398108734417064 T^{19} + 174887470365513049 T^{20} )^{2} \))(\( 1 - 12 T + 41 T^{2} - 456 T^{3} + 6049 T^{4} - 24168 T^{5} + 115169 T^{6} - 1786524 T^{7} + 7890481 T^{8} \))(\( 1 - 12 T + 41 T^{2} - 456 T^{3} + 6049 T^{4} - 24168 T^{5} + 115169 T^{6} - 1786524 T^{7} + 7890481 T^{8} \))(\( ( 1 + 10 T + 53 T^{2} )^{4}( 1 - 10 T + 47 T^{2} + 60 T^{3} - 3091 T^{4} + 3180 T^{5} + 132023 T^{6} - 1488770 T^{7} + 7890481 T^{8} ) \))(\( 1 - 2 T - 173 T^{2} + 964 T^{3} + 9936 T^{4} - 104742 T^{5} + 122655 T^{6} + 3229712 T^{7} - 31796061 T^{8} + 171174736 T^{9} + 344537895 T^{10} - 15593674734 T^{11} + 78399819216 T^{12} + 403140455252 T^{13} - 3834434475317 T^{14} - 2349422279674 T^{15} + 62259690411361 T^{16} \))(\( 1 - 4 T - 22 T^{2} - 440 T^{3} + 660 T^{4} + 49868 T^{5} + 140113 T^{6} - 2285596 T^{7} - 15873165 T^{8} - 76638860 T^{9} + 1323931162 T^{10} + 10376469922 T^{11} - 35381234389 T^{12} - 446229246850 T^{13} - 3132652820265 T^{14} + 9035271835264 T^{15} + 292112805840914 T^{16} + 478869407268992 T^{17} - 8799621772124385 T^{18} - 66433271583287450 T^{19} - 279174957702951109 T^{20} + 4339392954630461546 T^{21} + 29344088384504601898 T^{22} - 90028522586408265820 T^{23} - \)\(98\!\cdots\!65\)\( T^{24} - \)\(75\!\cdots\!68\)\( T^{25} + \)\(24\!\cdots\!37\)\( T^{26} + \)\(46\!\cdots\!96\)\( T^{27} + \)\(32\!\cdots\!60\)\( T^{28} - \)\(11\!\cdots\!20\)\( T^{29} - \)\(30\!\cdots\!18\)\( T^{30} - \)\(29\!\cdots\!28\)\( T^{31} + \)\(38\!\cdots\!21\)\( T^{32} \))(\( ( 1 - 24 T + 211 T^{2} - 626 T^{3} - 4522 T^{4} + 62646 T^{5} - 65151 T^{6} - 5188698 T^{7} + 58564103 T^{8} - 275000994 T^{9} - 183009159 T^{10} + 9326548542 T^{11} - 35680755082 T^{12} - 261790378618 T^{13} + 4676680198219 T^{14} - 28193067356088 T^{15} + 62259690411361 T^{16} )^{2} \))(\( 1 + 33 T + 405 T^{2} + 2787 T^{3} + 32251 T^{4} + 467168 T^{5} + 3683973 T^{6} + 22283970 T^{7} + 251538802 T^{8} + 2321344696 T^{9} + 10530653281 T^{10} + 55382880296 T^{11} + 600778423902 T^{12} + 2020263754689 T^{13} - 17607278790782 T^{14} - 167615901274037 T^{15} - 1416291252325139 T^{16} - 20607210476751788 T^{17} - 206235965753874186 T^{18} - 1468339063510685522 T^{19} - 10038840636118036823 T^{20} - 77821970366066332666 T^{21} - \)\(57\!\cdots\!74\)\( T^{22} - \)\(30\!\cdots\!76\)\( T^{23} - \)\(11\!\cdots\!59\)\( T^{24} - \)\(70\!\cdots\!41\)\( T^{25} - \)\(39\!\cdots\!78\)\( T^{26} + \)\(23\!\cdots\!93\)\( T^{27} + \)\(37\!\cdots\!22\)\( T^{28} + \)\(18\!\cdots\!68\)\( T^{29} + \)\(18\!\cdots\!69\)\( T^{30} + \)\(21\!\cdots\!12\)\( T^{31} + \)\(12\!\cdots\!82\)\( T^{32} + \)\(58\!\cdots\!10\)\( T^{33} + \)\(50\!\cdots\!37\)\( T^{34} + \)\(34\!\cdots\!76\)\( T^{35} + \)\(12\!\cdots\!71\)\( T^{36} + \)\(57\!\cdots\!31\)\( T^{37} + \)\(44\!\cdots\!45\)\( T^{38} + \)\(19\!\cdots\!61\)\( T^{39} + \)\(30\!\cdots\!01\)\( T^{40} \))(\( 1 + 33 T + 405 T^{2} + 2787 T^{3} + 32251 T^{4} + 467168 T^{5} + 3683973 T^{6} + 22283970 T^{7} + 251538802 T^{8} + 2321344696 T^{9} + 10530653281 T^{10} + 55382880296 T^{11} + 600778423902 T^{12} + 2020263754689 T^{13} - 17607278790782 T^{14} - 167615901274037 T^{15} - 1416291252325139 T^{16} - 20607210476751788 T^{17} - 206235965753874186 T^{18} - 1468339063510685522 T^{19} - 10038840636118036823 T^{20} - 77821970366066332666 T^{21} - \)\(57\!\cdots\!74\)\( T^{22} - \)\(30\!\cdots\!76\)\( T^{23} - \)\(11\!\cdots\!59\)\( T^{24} - \)\(70\!\cdots\!41\)\( T^{25} - \)\(39\!\cdots\!78\)\( T^{26} + \)\(23\!\cdots\!93\)\( T^{27} + \)\(37\!\cdots\!22\)\( T^{28} + \)\(18\!\cdots\!68\)\( T^{29} + \)\(18\!\cdots\!69\)\( T^{30} + \)\(21\!\cdots\!12\)\( T^{31} + \)\(12\!\cdots\!82\)\( T^{32} + \)\(58\!\cdots\!10\)\( T^{33} + \)\(50\!\cdots\!37\)\( T^{34} + \)\(34\!\cdots\!76\)\( T^{35} + \)\(12\!\cdots\!71\)\( T^{36} + \)\(57\!\cdots\!31\)\( T^{37} + \)\(44\!\cdots\!45\)\( T^{38} + \)\(19\!\cdots\!61\)\( T^{39} + \)\(30\!\cdots\!01\)\( T^{40} \))(\( ( 1 + 10 T + 47 T^{2} + 530 T^{3} + 2809 T^{4} )^{2} \))(\( ( 1 - 53 T^{2} + 2809 T^{4} )^{4} \))(\( ( 1 + T - 92 T^{2} - 161 T^{3} + 3593 T^{4} + 4762 T^{5} - 147323 T^{6} + 252386 T^{7} + 10092737 T^{8} - 23969197 T^{9} - 725924252 T^{10} + 418195493 T^{11} + 22164361129 T^{12} )^{2} \))(\( ( 1 + 718 T^{4} - 7374957 T^{8} + 5665365358 T^{12} + 62259690411361 T^{16} )^{2} \))(\( 1 + 12 T + 103 T^{2} - 420 T^{3} - 9840 T^{4} - 102312 T^{5} - 99751 T^{6} + 3945120 T^{7} + 55833959 T^{8} + 209091360 T^{9} - 280200559 T^{10} - 15231903624 T^{11} - 77642333040 T^{12} - 175642107060 T^{13} + 2282929196287 T^{14} + 14096533678044 T^{15} + 62259690411361 T^{16} \))(\( 1 + 2 T + 177 T^{2} + 1582 T^{3} + 21921 T^{4} + 231770 T^{5} + 2684050 T^{6} + 23678026 T^{7} + 239791912 T^{8} + 2114692878 T^{9} + 17637992799 T^{10} + 151508122160 T^{11} + 1184498641232 T^{12} + 9380769650632 T^{13} + 69924170534704 T^{14} + 544239771304768 T^{15} + 3774658249521589 T^{16} + 28844707879152704 T^{17} + 196416995031983536 T^{18} + 1396580843277140264 T^{19} + 9346264023166912592 T^{20} + 63360013840205424880 T^{21} + \)\(39\!\cdots\!71\)\( T^{22} + \)\(24\!\cdots\!86\)\( T^{23} + \)\(14\!\cdots\!32\)\( T^{24} + \)\(78\!\cdots\!58\)\( T^{25} + \)\(46\!\cdots\!50\)\( T^{26} + \)\(21\!\cdots\!90\)\( T^{27} + \)\(10\!\cdots\!61\)\( T^{28} + \)\(41\!\cdots\!86\)\( T^{29} + \)\(24\!\cdots\!13\)\( T^{30} + \)\(14\!\cdots\!14\)\( T^{31} + \)\(38\!\cdots\!21\)\( T^{32} \))(\( 1 + 2 T + 177 T^{2} + 1582 T^{3} + 21921 T^{4} + 231770 T^{5} + 2684050 T^{6} + 23678026 T^{7} + 239791912 T^{8} + 2114692878 T^{9} + 17637992799 T^{10} + 151508122160 T^{11} + 1184498641232 T^{12} + 9380769650632 T^{13} + 69924170534704 T^{14} + 544239771304768 T^{15} + 3774658249521589 T^{16} + 28844707879152704 T^{17} + 196416995031983536 T^{18} + 1396580843277140264 T^{19} + 9346264023166912592 T^{20} + 63360013840205424880 T^{21} + \)\(39\!\cdots\!71\)\( T^{22} + \)\(24\!\cdots\!86\)\( T^{23} + \)\(14\!\cdots\!32\)\( T^{24} + \)\(78\!\cdots\!58\)\( T^{25} + \)\(46\!\cdots\!50\)\( T^{26} + \)\(21\!\cdots\!90\)\( T^{27} + \)\(10\!\cdots\!61\)\( T^{28} + \)\(41\!\cdots\!86\)\( T^{29} + \)\(24\!\cdots\!13\)\( T^{30} + \)\(14\!\cdots\!14\)\( T^{31} + \)\(38\!\cdots\!21\)\( T^{32} \))(\( ( 1 - 10 T + 47 T^{2} - 530 T^{3} + 2809 T^{4} )^{4}( 1 + 10 T + 53 T^{2} + 590 T^{3} + 5900 T^{4} + 55820 T^{5} + 444723 T^{6} + 3293380 T^{7} + 25043319 T^{8} + 174549140 T^{9} + 1249226907 T^{10} + 8310314140 T^{11} + 46553837900 T^{12} + 246735340870 T^{13} + 1174711139837 T^{14} + 11747111398370 T^{15} + 62259690411361 T^{16} ) \))(\( ( 1 + 10 T + 47 T^{2} + 530 T^{3} + 2809 T^{4} )^{4}( 1 - 10 T + 53 T^{2} - 590 T^{3} + 5900 T^{4} - 55820 T^{5} + 444723 T^{6} - 3293380 T^{7} + 25043319 T^{8} - 174549140 T^{9} + 1249226907 T^{10} - 8310314140 T^{11} + 46553837900 T^{12} - 246735340870 T^{13} + 1174711139837 T^{14} - 11747111398370 T^{15} + 62259690411361 T^{16} ) \))(\( ( 1 - 15 T + 163 T^{2} - 1470 T^{3} + 7140 T^{4} - 11325 T^{5} - 412252 T^{6} + 6247590 T^{7} - 49419931 T^{8} + 331122270 T^{9} - 1158015868 T^{10} - 1686032025 T^{11} + 56338034340 T^{12} - 614747374710 T^{13} + 3612790864027 T^{14} - 17620667097555 T^{15} + 62259690411361 T^{16} )^{2} \))(\( ( 1 + 15 T + 133 T^{2} + 720 T^{3} + 2640 T^{4} + 9375 T^{5} - 97582 T^{6} - 2313840 T^{7} - 24237511 T^{8} - 122633520 T^{9} - 274107838 T^{10} + 1395721875 T^{11} + 20830869840 T^{12} + 301100754960 T^{13} + 2947860030157 T^{14} + 17620667097555 T^{15} + 62259690411361 T^{16} )^{2} \))
$59$ (\( 1 + 5 T + 59 T^{2} \))(\( 1 - 9 T + 59 T^{2} \))(\( 1 + 3 T + 59 T^{2} \))(\( 1 + 2 T + 59 T^{2} \))(\( 1 + 20 T^{2} + 3481 T^{4} \))(\( 1 + 2 T + 114 T^{2} + 118 T^{3} + 3481 T^{4} \))(\( 1 + 84 T^{2} - 19 T^{3} + 4956 T^{4} + 205379 T^{6} \))(\( 1 - 8 T + 20 T^{2} + 379 T^{3} + 1180 T^{4} - 27848 T^{5} + 205379 T^{6} \))(\( 1 + 8 T + 20 T^{2} - 379 T^{3} + 1180 T^{4} + 27848 T^{5} + 205379 T^{6} \))(\( 1 + 84 T^{2} + 19 T^{3} + 4956 T^{4} + 205379 T^{6} \))(\( 1 + 61 T^{2} + 5236 T^{4} + 212341 T^{6} + 12117361 T^{8} \))(\( 1 + 356 T^{2} + 66666 T^{4} + 8245292 T^{6} + 740132921 T^{8} + 50009679536 T^{10} + 2576402698001 T^{12} + 99911179714412 T^{14} + 2812007455710906 T^{16} + 52271635787138276 T^{18} + 511116753300641401 T^{20} \))(\( 1 - 4101553 T^{8} + 146830437604321 T^{16} \))(\( ( 1 - 56 T^{2} + 3044 T^{4} - 369635 T^{6} + 10596164 T^{8} - 678572216 T^{10} + 42180533641 T^{12} )^{2} \))(\( ( 1 - 312 T^{2} + 48808 T^{4} - 4900248 T^{6} + 342508146 T^{8} - 17057763288 T^{10} + 591424155688 T^{12} - 13160326495992 T^{14} + 146830437604321 T^{16} )^{2} \))(\( 1 + 2 T - 55 T^{2} + 118 T^{3} + 3481 T^{4} \))(\( 1 - 2 T - 55 T^{2} - 118 T^{3} + 3481 T^{4} \))(\( 1 - 3 T - 50 T^{2} - 177 T^{3} + 3481 T^{4} \))(\( 1 - 9 T + 22 T^{2} - 531 T^{3} + 3481 T^{4} \))(\( 1 + 9 T + 22 T^{2} + 531 T^{3} + 3481 T^{4} \))(\( 1 + 3 T - 50 T^{2} + 177 T^{3} + 3481 T^{4} \))(\( 1 - 5 T - 34 T^{2} - 295 T^{3} + 3481 T^{4} \))(\( 1 + 5 T - 34 T^{2} + 295 T^{3} + 3481 T^{4} \))(\( 1 + 2 T - 110 T^{2} - 8 T^{3} + 9279 T^{4} - 472 T^{5} - 382910 T^{6} + 410758 T^{7} + 12117361 T^{8} \))(\( 1 - 2 T - 110 T^{2} + 8 T^{3} + 9279 T^{4} + 472 T^{5} - 382910 T^{6} - 410758 T^{7} + 12117361 T^{8} \))(\( 1 - 20 T^{2} - 3081 T^{4} - 69620 T^{6} + 12117361 T^{8} \))(\( 1 - 8 T + 44 T^{2} - 918 T^{3} + 2252 T^{4} - 1388 T^{5} + 308015 T^{6} - 81892 T^{7} + 7839212 T^{8} - 188537922 T^{9} + 533163884 T^{10} - 5719394392 T^{11} + 42180533641 T^{12} \))(\( 1 - 84 T^{2} - 38 T^{3} + 2100 T^{4} + 1596 T^{5} - 5185 T^{6} + 94164 T^{7} + 7310100 T^{8} - 7804402 T^{9} - 1017858324 T^{10} + 42180533641 T^{12} \))(\( 1 - 61 T^{2} - 1515 T^{4} + 105286 T^{6} + 2345534 T^{8} + 366500566 T^{10} - 18357801915 T^{12} - 2573012552101 T^{14} + 146830437604321 T^{16} \))(\( 1 - 356 T^{2} + 60070 T^{4} - 7242512 T^{6} + 768898683 T^{8} - 72715676256 T^{10} + 5992498335064 T^{12} - 451832000766748 T^{14} + 32018620383263501 T^{16} - 2084635173541278448 T^{18} + \)\(12\!\cdots\!06\)\( T^{20} - \)\(72\!\cdots\!88\)\( T^{22} + \)\(38\!\cdots\!61\)\( T^{24} - \)\(19\!\cdots\!68\)\( T^{26} + \)\(87\!\cdots\!44\)\( T^{28} - \)\(37\!\cdots\!56\)\( T^{30} + \)\(13\!\cdots\!23\)\( T^{32} - \)\(44\!\cdots\!32\)\( T^{34} + \)\(12\!\cdots\!70\)\( T^{36} - \)\(26\!\cdots\!76\)\( T^{38} + \)\(26\!\cdots\!01\)\( T^{40} \))(\( 1 - 18 T + 85 T^{2} - 78 T^{3} + 529 T^{4} - 4602 T^{5} + 295885 T^{6} - 3696822 T^{7} + 12117361 T^{8} \))(\( 1 + 18 T + 85 T^{2} + 78 T^{3} + 529 T^{4} + 4602 T^{5} + 295885 T^{6} + 3696822 T^{7} + 12117361 T^{8} \))(\( ( 1 - 59 T^{2} + 3481 T^{4} - 205379 T^{6} + 12117361 T^{8} )^{2} \))(\( 1 + 25 T + 206 T^{2} - 25 T^{3} - 15220 T^{4} - 157300 T^{5} - 429276 T^{6} + 8492650 T^{7} + 113408229 T^{8} + 501066350 T^{9} - 1494309756 T^{10} - 32306116700 T^{11} - 184426234420 T^{12} - 17873107475 T^{13} + 8689189930046 T^{14} + 62216287120475 T^{15} + 146830437604321 T^{16} \))(\( 1 + 17 T - 50 T^{2} - 1985 T^{3} + 451 T^{4} + 76307 T^{5} - 426220 T^{6} + 1429235 T^{7} + 60743716 T^{8} - 309308083 T^{9} - 1984484046 T^{10} + 33011892753 T^{11} - 101353409674 T^{12} - 2740413120218 T^{13} + 8464635562844 T^{14} + 86256705224328 T^{15} - 317724345351369 T^{16} + 5089145608235352 T^{17} + 29465396394259964 T^{18} - 562823306217252622 T^{19} - 1228135853600750314 T^{20} + 23601004285101705147 T^{21} - 83706596062330791486 T^{22} - \)\(76\!\cdots\!77\)\( T^{23} + \)\(89\!\cdots\!36\)\( T^{24} + \)\(12\!\cdots\!65\)\( T^{25} - \)\(21\!\cdots\!20\)\( T^{26} + \)\(23\!\cdots\!13\)\( T^{27} + \)\(80\!\cdots\!31\)\( T^{28} - \)\(20\!\cdots\!15\)\( T^{29} - \)\(30\!\cdots\!50\)\( T^{30} + \)\(62\!\cdots\!83\)\( T^{31} + \)\(21\!\cdots\!41\)\( T^{32} \))(\( 1 - 161 T^{2} + 20560 T^{4} - 2430855 T^{6} + 231871260 T^{8} - 19143311348 T^{10} + 1481140015438 T^{12} - 100967740750520 T^{14} + 6159715951083835 T^{16} - 351468705552560120 T^{18} + 17947508258607819118 T^{20} - \)\(80\!\cdots\!68\)\( T^{22} + \)\(34\!\cdots\!60\)\( T^{24} - \)\(12\!\cdots\!55\)\( T^{26} + \)\(36\!\cdots\!60\)\( T^{28} - \)\(99\!\cdots\!21\)\( T^{30} + \)\(21\!\cdots\!41\)\( T^{32} \))(\( 1 - 21 T + 118 T^{2} + 1496 T^{3} - 27400 T^{4} + 126899 T^{5} + 851800 T^{6} - 15341587 T^{7} + 95659284 T^{8} - 214974796 T^{9} - 2402682037 T^{10} + 47361451357 T^{11} - 496697642640 T^{12} + 2583247986972 T^{13} + 9125880719544 T^{14} - 283336434656979 T^{15} + 2193475655727242 T^{16} - 5190849741846272 T^{17} - 47742316262012985 T^{18} + 569240076437571385 T^{19} - 4223862905282529623 T^{20} + 33585164509816711715 T^{21} - \)\(16\!\cdots\!85\)\( T^{22} - \)\(10\!\cdots\!88\)\( T^{23} + \)\(26\!\cdots\!62\)\( T^{24} - \)\(20\!\cdots\!21\)\( T^{25} + \)\(38\!\cdots\!04\)\( T^{26} + \)\(64\!\cdots\!68\)\( T^{27} - \)\(72\!\cdots\!40\)\( T^{28} + \)\(41\!\cdots\!23\)\( T^{29} - \)\(12\!\cdots\!37\)\( T^{30} - \)\(64\!\cdots\!64\)\( T^{31} + \)\(17\!\cdots\!04\)\( T^{32} - \)\(16\!\cdots\!73\)\( T^{33} + \)\(52\!\cdots\!00\)\( T^{34} + \)\(46\!\cdots\!01\)\( T^{35} - \)\(59\!\cdots\!00\)\( T^{36} + \)\(19\!\cdots\!24\)\( T^{37} + \)\(88\!\cdots\!78\)\( T^{38} - \)\(92\!\cdots\!19\)\( T^{39} + \)\(26\!\cdots\!01\)\( T^{40} \))(\( 1 + 21 T + 118 T^{2} - 1496 T^{3} - 27400 T^{4} - 126899 T^{5} + 851800 T^{6} + 15341587 T^{7} + 95659284 T^{8} + 214974796 T^{9} - 2402682037 T^{10} - 47361451357 T^{11} - 496697642640 T^{12} - 2583247986972 T^{13} + 9125880719544 T^{14} + 283336434656979 T^{15} + 2193475655727242 T^{16} + 5190849741846272 T^{17} - 47742316262012985 T^{18} - 569240076437571385 T^{19} - 4223862905282529623 T^{20} - 33585164509816711715 T^{21} - \)\(16\!\cdots\!85\)\( T^{22} + \)\(10\!\cdots\!88\)\( T^{23} + \)\(26\!\cdots\!62\)\( T^{24} + \)\(20\!\cdots\!21\)\( T^{25} + \)\(38\!\cdots\!04\)\( T^{26} - \)\(64\!\cdots\!68\)\( T^{27} - \)\(72\!\cdots\!40\)\( T^{28} - \)\(41\!\cdots\!23\)\( T^{29} - \)\(12\!\cdots\!37\)\( T^{30} + \)\(64\!\cdots\!64\)\( T^{31} + \)\(17\!\cdots\!04\)\( T^{32} + \)\(16\!\cdots\!73\)\( T^{33} + \)\(52\!\cdots\!00\)\( T^{34} - \)\(46\!\cdots\!01\)\( T^{35} - \)\(59\!\cdots\!00\)\( T^{36} - \)\(19\!\cdots\!24\)\( T^{37} + \)\(88\!\cdots\!78\)\( T^{38} + \)\(92\!\cdots\!19\)\( T^{39} + \)\(26\!\cdots\!01\)\( T^{40} \))(\( ( 1 + 59 T^{2} + 3481 T^{4} )^{2} \))(\( ( 1 + 113 T^{2} + 9288 T^{4} + 393353 T^{6} + 12117361 T^{8} )^{2} \))(\( ( 1 - 6 T + 46 T^{2} - 204 T^{3} + 212 T^{4} + 2832 T^{5} - 290339 T^{6} + 167088 T^{7} + 737972 T^{8} - 41897316 T^{9} + 557398606 T^{10} - 4289545794 T^{11} + 42180533641 T^{12} )^{2} \))(\( 1 + 4101553 T^{8} - 130007700592512 T^{16} + \)\(60\!\cdots\!13\)\( T^{24} + \)\(21\!\cdots\!41\)\( T^{32} \))(\( 1 - 18 T + 239 T^{2} - 1374 T^{3} + 5292 T^{4} + 7812 T^{5} + 470053 T^{6} - 8281674 T^{7} + 95738891 T^{8} - 488618766 T^{9} + 1636254493 T^{10} + 1604420748 T^{11} + 64125074412 T^{12} - 982305986826 T^{13} + 10081147540199 T^{14} - 44795726726742 T^{15} + 146830437604321 T^{16} \))(\( 1 - 25 T + 419 T^{2} - 5200 T^{3} + 58281 T^{4} - 598550 T^{5} + 6209893 T^{6} - 62948850 T^{7} + 627371027 T^{8} - 5955201125 T^{9} + 54113866884 T^{10} - 468835214275 T^{11} + 3967819915452 T^{12} - 33125257031325 T^{13} + 272714366831568 T^{14} - 2199975935884200 T^{15} + 17198372786595766 T^{16} - 129798580217167800 T^{17} + 949318710940688208 T^{18} - 6803232163836497175 T^{19} + 48079506298521362172 T^{20} - \)\(33\!\cdots\!25\)\( T^{21} + \)\(22\!\cdots\!44\)\( T^{22} - \)\(14\!\cdots\!75\)\( T^{23} + \)\(92\!\cdots\!67\)\( T^{24} - \)\(54\!\cdots\!50\)\( T^{25} + \)\(31\!\cdots\!93\)\( T^{26} - \)\(18\!\cdots\!50\)\( T^{27} + \)\(10\!\cdots\!61\)\( T^{28} - \)\(54\!\cdots\!00\)\( T^{29} + \)\(25\!\cdots\!59\)\( T^{30} - \)\(91\!\cdots\!75\)\( T^{31} + \)\(21\!\cdots\!41\)\( T^{32} \))(\( 1 + 25 T + 419 T^{2} + 5200 T^{3} + 58281 T^{4} + 598550 T^{5} + 6209893 T^{6} + 62948850 T^{7} + 627371027 T^{8} + 5955201125 T^{9} + 54113866884 T^{10} + 468835214275 T^{11} + 3967819915452 T^{12} + 33125257031325 T^{13} + 272714366831568 T^{14} + 2199975935884200 T^{15} + 17198372786595766 T^{16} + 129798580217167800 T^{17} + 949318710940688208 T^{18} + 6803232163836497175 T^{19} + 48079506298521362172 T^{20} + \)\(33\!\cdots\!25\)\( T^{21} + \)\(22\!\cdots\!44\)\( T^{22} + \)\(14\!\cdots\!75\)\( T^{23} + \)\(92\!\cdots\!67\)\( T^{24} + \)\(54\!\cdots\!50\)\( T^{25} + \)\(31\!\cdots\!93\)\( T^{26} + \)\(18\!\cdots\!50\)\( T^{27} + \)\(10\!\cdots\!61\)\( T^{28} + \)\(54\!\cdots\!00\)\( T^{29} + \)\(25\!\cdots\!59\)\( T^{30} + \)\(91\!\cdots\!75\)\( T^{31} + \)\(21\!\cdots\!41\)\( T^{32} \))(\( ( 1 + 59 T^{2} - 205379 T^{6} - 12117361 T^{8} - 714924299 T^{10} + 2488651484819 T^{14} + 146830437604321 T^{16} )^{2} \))(\( ( 1 - 59 T^{2} + 205379 T^{6} - 12117361 T^{8} + 714924299 T^{10} - 2488651484819 T^{14} + 146830437604321 T^{16} )^{2} \))(\( 1 - 323 T^{2} + 49396 T^{4} - 4781737 T^{6} + 311715731 T^{8} - 11274222359 T^{10} - 206430287896 T^{12} + 63555796583219 T^{14} - 5001483862178048 T^{16} + 221237727906185339 T^{18} - 2501390319769762456 T^{20} - \)\(47\!\cdots\!19\)\( T^{22} + \)\(45\!\cdots\!51\)\( T^{24} - \)\(24\!\cdots\!37\)\( T^{26} + \)\(87\!\cdots\!76\)\( T^{28} - \)\(20\!\cdots\!03\)\( T^{30} + \)\(21\!\cdots\!41\)\( T^{32} \))(\( 1 + 142 T^{2} + 16711 T^{4} + 1358948 T^{6} + 111903056 T^{8} + 7889018176 T^{10} + 579419128274 T^{12} + 37333275284654 T^{14} + 2370010883357077 T^{16} + 129957131265880574 T^{18} + 7021030747601364914 T^{20} + \)\(33\!\cdots\!16\)\( T^{22} + \)\(16\!\cdots\!76\)\( T^{24} + \)\(69\!\cdots\!48\)\( T^{26} + \)\(29\!\cdots\!91\)\( T^{28} + \)\(87\!\cdots\!62\)\( T^{30} + \)\(21\!\cdots\!41\)\( T^{32} \))
$61$ (\( 1 + 12 T + 61 T^{2} \))(\( 1 - 10 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 + 61 T^{2} \))(\( 1 + 50 T^{2} + 3721 T^{4} \))(\( 1 - 10 T + 142 T^{2} - 610 T^{3} + 3721 T^{4} \))(\( 1 + 12 T + 147 T^{2} + 1488 T^{3} + 8967 T^{4} + 44652 T^{5} + 226981 T^{6} \))(\( 1 + 24 T + 355 T^{2} + 3304 T^{3} + 21655 T^{4} + 89304 T^{5} + 226981 T^{6} \))(\( 1 - 24 T + 355 T^{2} - 3304 T^{3} + 21655 T^{4} - 89304 T^{5} + 226981 T^{6} \))(\( 1 - 12 T + 147 T^{2} - 1488 T^{3} + 8967 T^{4} - 44652 T^{5} + 226981 T^{6} \))(\( 1 + 4110 T^{4} + 13845841 T^{8} \))(\( 1 + 466 T^{2} + 104101 T^{4} + 14630744 T^{6} + 1431084002 T^{8} + 101749491180 T^{10} + 5325063571442 T^{12} + 202574955135704 T^{14} + 5363322491354461 T^{16} + 89335607856732946 T^{18} + 713342911662882601 T^{20} \))(\( ( 1 + 61 T^{2} )^{8} \))(\( ( 1 + 154 T^{2} + 14135 T^{4} + 923500 T^{6} + 52596335 T^{8} + 2132259514 T^{10} + 51520374361 T^{12} )^{2} \))(\( ( 1 + 160 T^{2} + 21996 T^{4} + 1904000 T^{6} + 136622358 T^{8} + 7084784000 T^{10} + 304553118636 T^{12} + 8243259897760 T^{14} + 191707312997281 T^{16} )^{2} \))(\( 1 - 61 T^{2} + 3721 T^{4} \))(\( 1 - 61 T^{2} + 3721 T^{4} \))(\( 1 + 2 T - 57 T^{2} + 122 T^{3} + 3721 T^{4} \))(\( 1 - 10 T + 39 T^{2} - 610 T^{3} + 3721 T^{4} \))(\( 1 + 10 T + 39 T^{2} + 610 T^{3} + 3721 T^{4} \))(\( 1 - 2 T - 57 T^{2} - 122 T^{3} + 3721 T^{4} \))(\( 1 - 12 T + 83 T^{2} - 732 T^{3} + 3721 T^{4} \))(\( 1 + 12 T + 83 T^{2} + 732 T^{3} + 3721 T^{4} \))(\( 1 - 10 T - 42 T^{2} - 200 T^{3} + 10343 T^{4} - 12200 T^{5} - 156282 T^{6} - 2269810 T^{7} + 13845841 T^{8} \))(\( 1 + 10 T - 42 T^{2} + 200 T^{3} + 10343 T^{4} + 12200 T^{5} - 156282 T^{6} + 2269810 T^{7} + 13845841 T^{8} \))(\( 1 - 50 T^{2} - 1221 T^{4} - 186050 T^{6} + 13845841 T^{8} \))(\( 1 + 24 T + 221 T^{2} + 1912 T^{3} + 25074 T^{4} + 222784 T^{5} + 1539557 T^{6} + 13589824 T^{7} + 93300354 T^{8} + 433987672 T^{9} + 3059930861 T^{10} + 20270311224 T^{11} + 51520374361 T^{12} \))(\( 1 - 12 T - 3 T^{2} + 1212 T^{3} - 5214 T^{4} - 48180 T^{5} + 814133 T^{6} - 2938980 T^{7} - 19401294 T^{8} + 275100972 T^{9} - 41537523 T^{10} - 10135155612 T^{11} + 51520374361 T^{12} \))(\( 1 - 4110 T^{4} + 3046259 T^{8} - 56906406510 T^{12} + 191707312997281 T^{16} \))(\( 1 - 466 T^{2} + 113055 T^{4} - 19249578 T^{6} + 2588007495 T^{8} - 291054282460 T^{10} + 28316258554338 T^{12} - 2437430692526804 T^{14} + 188422756039936109 T^{16} - 13201677714190511702 T^{18} + \)\(84\!\cdots\!25\)\( T^{20} - \)\(49\!\cdots\!42\)\( T^{22} + \)\(26\!\cdots\!69\)\( T^{24} - \)\(12\!\cdots\!44\)\( T^{26} + \)\(54\!\cdots\!78\)\( T^{28} - \)\(20\!\cdots\!60\)\( T^{30} + \)\(68\!\cdots\!95\)\( T^{32} - \)\(19\!\cdots\!98\)\( T^{34} + \)\(41\!\cdots\!55\)\( T^{36} - \)\(63\!\cdots\!46\)\( T^{38} + \)\(50\!\cdots\!01\)\( T^{40} \))(\( 1 + 18 T + 183 T^{2} + 1916 T^{3} + 18525 T^{4} + 116876 T^{5} + 680943 T^{6} + 4085658 T^{7} + 13845841 T^{8} \))(\( 1 - 18 T + 183 T^{2} - 1916 T^{3} + 18525 T^{4} - 116876 T^{5} + 680943 T^{6} - 4085658 T^{7} + 13845841 T^{8} \))(\( ( 1 - 61 T^{2} + 3721 T^{4} - 226981 T^{6} + 13845841 T^{8} )^{2} \))(\( 1 + 7 T - 108 T^{2} - 1783 T^{3} + 318 T^{4} + 164342 T^{5} + 1092660 T^{6} - 5279480 T^{7} - 100824709 T^{8} - 322048280 T^{9} + 4065787860 T^{10} + 37302511502 T^{11} + 4402977438 T^{12} - 1505915204683 T^{13} - 5564200430988 T^{14} + 21999199852147 T^{15} + 191707312997281 T^{16} \))(\( 1 - 7 T - 20 T^{2} - 403 T^{3} + 10067 T^{4} - 48739 T^{5} - 116314 T^{6} - 1172749 T^{7} + 26082242 T^{8} - 24039263 T^{9} - 379016678 T^{10} + 5077729829 T^{11} - 113601259714 T^{12} + 664603591174 T^{13} + 819501759744 T^{14} + 46004665392052 T^{15} - 871290620425703 T^{16} + 2806284588915172 T^{17} + 3049366048007424 T^{18} + 150852387728265694 T^{19} - 1572904979399749474 T^{20} + 4288631831050762529 T^{21} - 19527081139622592758 T^{22} - 75549221576474692523 T^{23} + \)\(50\!\cdots\!02\)\( T^{24} - \)\(13\!\cdots\!09\)\( T^{25} - \)\(82\!\cdots\!14\)\( T^{26} - \)\(21\!\cdots\!79\)\( T^{27} + \)\(26\!\cdots\!07\)\( T^{28} - \)\(65\!\cdots\!43\)\( T^{29} - \)\(19\!\cdots\!20\)\( T^{30} - \)\(42\!\cdots\!07\)\( T^{31} + \)\(36\!\cdots\!61\)\( T^{32} \))(\( 1 - 135 T^{2} + 5600 T^{4} + 183645 T^{6} - 12244456 T^{8} - 1540145430 T^{10} + 147521583310 T^{12} - 213663400650 T^{14} - 356527748957849 T^{16} - 795041513818650 T^{18} + 2042560386578513710 T^{20} - 79348869123983320230 T^{22} - \)\(23\!\cdots\!36\)\( T^{24} + \)\(13\!\cdots\!45\)\( T^{26} + \)\(14\!\cdots\!00\)\( T^{28} - \)\(13\!\cdots\!35\)\( T^{30} + \)\(36\!\cdots\!61\)\( T^{32} \))(\( 1 - 213 T^{2} - 887 T^{3} + 27401 T^{4} + 113521 T^{5} - 2197768 T^{6} - 9078633 T^{7} + 175839337 T^{8} + 290813218 T^{9} - 13403419395 T^{10} - 305201270 T^{11} + 1097488844383 T^{12} - 462219841292 T^{13} - 81326004260444 T^{14} - 18284308490313 T^{15} + 5055518791648508 T^{16} + 4424330938300339 T^{17} - 289461300984176935 T^{18} - 94952747693800833 T^{19} + 16192103879800617331 T^{20} - 5792117609321850813 T^{21} - \)\(10\!\cdots\!35\)\( T^{22} + \)\(10\!\cdots\!59\)\( T^{23} + \)\(69\!\cdots\!28\)\( T^{24} - \)\(15\!\cdots\!13\)\( T^{25} - \)\(41\!\cdots\!84\)\( T^{26} - \)\(14\!\cdots\!32\)\( T^{27} + \)\(21\!\cdots\!23\)\( T^{28} - \)\(35\!\cdots\!70\)\( T^{29} - \)\(95\!\cdots\!95\)\( T^{30} + \)\(12\!\cdots\!98\)\( T^{31} + \)\(46\!\cdots\!77\)\( T^{32} - \)\(14\!\cdots\!73\)\( T^{33} - \)\(21\!\cdots\!88\)\( T^{34} + \)\(68\!\cdots\!21\)\( T^{35} + \)\(10\!\cdots\!61\)\( T^{36} - \)\(19\!\cdots\!27\)\( T^{37} - \)\(29\!\cdots\!53\)\( T^{38} + \)\(50\!\cdots\!01\)\( T^{40} \))(\( 1 - 213 T^{2} + 887 T^{3} + 27401 T^{4} - 113521 T^{5} - 2197768 T^{6} + 9078633 T^{7} + 175839337 T^{8} - 290813218 T^{9} - 13403419395 T^{10} + 305201270 T^{11} + 1097488844383 T^{12} + 462219841292 T^{13} - 81326004260444 T^{14} + 18284308490313 T^{15} + 5055518791648508 T^{16} - 4424330938300339 T^{17} - 289461300984176935 T^{18} + 94952747693800833 T^{19} + 16192103879800617331 T^{20} + 5792117609321850813 T^{21} - \)\(10\!\cdots\!35\)\( T^{22} - \)\(10\!\cdots\!59\)\( T^{23} + \)\(69\!\cdots\!28\)\( T^{24} + \)\(15\!\cdots\!13\)\( T^{25} - \)\(41\!\cdots\!84\)\( T^{26} + \)\(14\!\cdots\!32\)\( T^{27} + \)\(21\!\cdots\!23\)\( T^{28} + \)\(35\!\cdots\!70\)\( T^{29} - \)\(95\!\cdots\!95\)\( T^{30} - \)\(12\!\cdots\!98\)\( T^{31} + \)\(46\!\cdots\!77\)\( T^{32} + \)\(14\!\cdots\!73\)\( T^{33} - \)\(21\!\cdots\!88\)\( T^{34} - \)\(68\!\cdots\!21\)\( T^{35} + \)\(10\!\cdots\!61\)\( T^{36} + \)\(19\!\cdots\!27\)\( T^{37} - \)\(29\!\cdots\!53\)\( T^{38} + \)\(50\!\cdots\!01\)\( T^{40} \))(\( ( 1 - 61 T^{2} + 3721 T^{4} )^{2} \))(\( ( 1 - 112 T^{2} + 8823 T^{4} - 416752 T^{6} + 13845841 T^{8} )^{2} \))(\( 1 - 154 T^{2} + 9581 T^{4} - 329790 T^{6} + 4982890 T^{8} + 1013739166 T^{10} - 115924161659 T^{12} + 3772123436686 T^{14} + 68992302660490 T^{16} - 16990904260514190 T^{18} + 1836747765826949261 T^{20} - \)\(10\!\cdots\!54\)\( T^{22} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( ( 1 - 61 T^{2} + 3721 T^{4} )^{8} \))(\( 1 + 18 T + 141 T^{2} - 538 T^{3} - 19524 T^{4} - 199396 T^{5} - 460901 T^{6} + 9059916 T^{7} + 127866487 T^{8} + 552654876 T^{9} - 1715012621 T^{10} - 45259103476 T^{11} - 270326199684 T^{12} - 454392809938 T^{13} + 7264372784901 T^{14} + 56569371048378 T^{15} + 191707312997281 T^{16} \))(\( 1 - 7 T + 157 T^{2} - 2810 T^{3} + 23827 T^{4} - 352454 T^{5} + 4248359 T^{6} - 37300018 T^{7} + 438042179 T^{8} - 4457193753 T^{9} + 37214201488 T^{10} - 377860830849 T^{11} + 3428826064944 T^{12} - 26601329050551 T^{13} + 245019222253856 T^{14} - 2011514545995138 T^{15} + 14453308043412074 T^{16} - 122702387305703418 T^{17} + 911716526006598176 T^{18} - 6037996269223116531 T^{19} + 47474980511870297904 T^{20} - \)\(31\!\cdots\!49\)\( T^{21} + \)\(19\!\cdots\!68\)\( T^{22} - \)\(14\!\cdots\!13\)\( T^{23} + \)\(83\!\cdots\!99\)\( T^{24} - \)\(43\!\cdots\!38\)\( T^{25} + \)\(30\!\cdots\!59\)\( T^{26} - \)\(15\!\cdots\!94\)\( T^{27} + \)\(63\!\cdots\!67\)\( T^{28} - \)\(45\!\cdots\!10\)\( T^{29} + \)\(15\!\cdots\!37\)\( T^{30} - \)\(42\!\cdots\!07\)\( T^{31} + \)\(36\!\cdots\!61\)\( T^{32} \))(\( 1 + 7 T + 157 T^{2} + 2810 T^{3} + 23827 T^{4} + 352454 T^{5} + 4248359 T^{6} + 37300018 T^{7} + 438042179 T^{8} + 4457193753 T^{9} + 37214201488 T^{10} + 377860830849 T^{11} + 3428826064944 T^{12} + 26601329050551 T^{13} + 245019222253856 T^{14} + 2011514545995138 T^{15} + 14453308043412074 T^{16} + 122702387305703418 T^{17} + 911716526006598176 T^{18} + 6037996269223116531 T^{19} + 47474980511870297904 T^{20} + \)\(31\!\cdots\!49\)\( T^{21} + \)\(19\!\cdots\!68\)\( T^{22} + \)\(14\!\cdots\!13\)\( T^{23} + \)\(83\!\cdots\!99\)\( T^{24} + \)\(43\!\cdots\!38\)\( T^{25} + \)\(30\!\cdots\!59\)\( T^{26} + \)\(15\!\cdots\!94\)\( T^{27} + \)\(63\!\cdots\!67\)\( T^{28} + \)\(45\!\cdots\!10\)\( T^{29} + \)\(15\!\cdots\!37\)\( T^{30} + \)\(42\!\cdots\!07\)\( T^{31} + \)\(36\!\cdots\!61\)\( T^{32} \))(\( ( 1 + 61 T^{2} - 226981 T^{6} - 13845841 T^{8} - 844596301 T^{10} + 3142742836021 T^{14} + 191707312997281 T^{16} )^{2} \))(\( ( 1 + 61 T^{2} - 226981 T^{6} - 13845841 T^{8} - 844596301 T^{10} + 3142742836021 T^{14} + 191707312997281 T^{16} )^{2} \))(\( 1 - 108 T^{2} - 39 T^{4} + 174128 T^{6} + 18527376 T^{8} - 657676114 T^{10} - 64871559746 T^{12} - 3584437540776 T^{14} + 734823412780717 T^{16} - 13337692089227496 T^{18} - 898201301665116386 T^{20} - 33883719601567713154 T^{22} + \)\(35\!\cdots\!56\)\( T^{24} + \)\(12\!\cdots\!28\)\( T^{26} - \)\(10\!\cdots\!19\)\( T^{28} - \)\(10\!\cdots\!28\)\( T^{30} + \)\(36\!\cdots\!61\)\( T^{32} \))(\( 1 + 297 T^{2} + 51156 T^{4} + 6210653 T^{6} + 588172431 T^{8} + 45734404031 T^{10} + 3064381204024 T^{12} + 188702992150299 T^{14} + 11404241750465512 T^{16} + 702163833791262579 T^{18} + 42428934914304864184 T^{20} + \)\(23\!\cdots\!91\)\( T^{22} + \)\(11\!\cdots\!11\)\( T^{24} + \)\(44\!\cdots\!53\)\( T^{26} + \)\(13\!\cdots\!76\)\( T^{28} + \)\(29\!\cdots\!77\)\( T^{30} + \)\(36\!\cdots\!61\)\( T^{32} \))
$67$ (\( 1 + 7 T + 67 T^{2} \))(\( 1 - 5 T + 67 T^{2} \))(\( 1 + 3 T + 67 T^{2} \))(\( 1 - 8 T + 67 T^{2} \))(\( ( 1 - 2 T + 67 T^{2} )^{2} \))(\( 1 - 20 T + 214 T^{2} - 1340 T^{3} + 4489 T^{4} \))(\( 1 + 189 T^{2} - 8 T^{3} + 12663 T^{4} + 300763 T^{6} \))(\( 1 + 16 T + 269 T^{2} + 2216 T^{3} + 18023 T^{4} + 71824 T^{5} + 300763 T^{6} \))(\( 1 + 16 T + 269 T^{2} + 2216 T^{3} + 18023 T^{4} + 71824 T^{5} + 300763 T^{6} \))(\( 1 + 189 T^{2} - 8 T^{3} + 12663 T^{4} + 300763 T^{6} \))(\( ( 1 - 3 T + 98 T^{2} - 201 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 + 2 T + 232 T^{2} + 266 T^{3} + 25767 T^{4} + 22336 T^{5} + 1726389 T^{6} + 1194074 T^{7} + 69777016 T^{8} + 40302242 T^{9} + 1350125107 T^{10} )^{2} \))(\( ( 1 - 7753 T^{4} + 20151121 T^{8} )^{2} \))(\( ( 1 - 12 T + 141 T^{2} - 1664 T^{3} + 9447 T^{4} - 53868 T^{5} + 300763 T^{6} )^{4} \))(\( ( 1 + 28 T + 532 T^{2} + 6516 T^{3} + 62762 T^{4} + 436572 T^{5} + 2388148 T^{6} + 8421364 T^{7} + 20151121 T^{8} )^{4} \))(\( 1 + 8 T - 3 T^{2} + 536 T^{3} + 4489 T^{4} \))(\( 1 + 8 T - 3 T^{2} + 536 T^{3} + 4489 T^{4} \))(\( 1 - 3 T - 58 T^{2} - 201 T^{3} + 4489 T^{4} \))(\( ( 1 - 11 T + 67 T^{2} )( 1 + 16 T + 67 T^{2} ) \))(\( ( 1 - 11 T + 67 T^{2} )( 1 + 16 T + 67 T^{2} ) \))(\( 1 - 3 T - 58 T^{2} - 201 T^{3} + 4489 T^{4} \))(\( 1 - 7 T - 18 T^{2} - 469 T^{3} + 4489 T^{4} \))(\( 1 - 7 T - 18 T^{2} - 469 T^{3} + 4489 T^{4} \))(\( 1 + 20 T + 186 T^{2} + 1600 T^{3} + 14507 T^{4} + 107200 T^{5} + 834954 T^{6} + 6015260 T^{7} + 20151121 T^{8} \))(\( 1 + 20 T + 186 T^{2} + 1600 T^{3} + 14507 T^{4} + 107200 T^{5} + 834954 T^{6} + 6015260 T^{7} + 20151121 T^{8} \))(\( ( 1 + 2 T - 63 T^{2} + 134 T^{3} + 4489 T^{4} )^{2} \))(\( 1 - 16 T - 13 T^{2} + 128 T^{3} + 18882 T^{4} - 91192 T^{5} - 485189 T^{6} - 6109864 T^{7} + 84761298 T^{8} + 38497664 T^{9} - 261964573 T^{10} - 21602001712 T^{11} + 90458382169 T^{12} \))(\( 1 - 189 T^{2} - 16 T^{3} + 23058 T^{4} + 1512 T^{5} - 1791717 T^{6} + 101304 T^{7} + 103507362 T^{8} - 4812208 T^{9} - 3808561869 T^{10} + 90458382169 T^{12} \))(\( ( 1 + 3 T - 89 T^{2} - 108 T^{3} + 4512 T^{4} - 7236 T^{5} - 399521 T^{6} + 902289 T^{7} + 20151121 T^{8} )^{2} \))(\( ( 1 - 2 T - 228 T^{2} + 68 T^{3} + 27525 T^{4} + 19020 T^{5} - 2499082 T^{6} - 1136970 T^{7} + 192473945 T^{8} + 6932520 T^{9} - 13356786318 T^{10} + 464478840 T^{11} + 864015539105 T^{12} - 341958508110 T^{13} - 50359303770922 T^{14} + 25679379535140 T^{15} + 2489866969201725 T^{16} + 412128389161964 T^{17} - 92583430482914148 T^{18} - 54413068792589894 T^{19} + 1822837804551761449 T^{20} )^{2} \))(\( ( 1 - 19 T + 223 T^{2} - 1273 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 - 19 T + 223 T^{2} - 1273 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 + 4 T - 51 T^{2} - 472 T^{3} + 1529 T^{4} - 31624 T^{5} - 228939 T^{6} + 1203052 T^{7} + 20151121 T^{8} )^{2} \))(\( ( 1 + 15 T + 335 T^{2} + 3060 T^{3} + 35713 T^{4} + 205020 T^{5} + 1503815 T^{6} + 4511445 T^{7} + 20151121 T^{8} )^{2} \))(\( ( 1 + 19 T + 520 T^{2} + 7751 T^{3} + 119005 T^{4} + 1415171 T^{5} + 15702408 T^{6} + 150444400 T^{7} + 1308159665 T^{8} + 10079774800 T^{9} + 70488109512 T^{10} + 425631075473 T^{11} + 2398084154605 T^{12} + 10464819704357 T^{13} + 47038358727880 T^{14} + 115153520501137 T^{15} + 406067677556641 T^{16} )^{2} \))(\( ( 1 + 9 T + 245 T^{2} + 1620 T^{3} + 24193 T^{4} + 108540 T^{5} + 1099805 T^{6} + 2706867 T^{7} + 20151121 T^{8} )^{4} \))(\( ( 1 - 19 T + 598 T^{2} - 7883 T^{3} + 145109 T^{4} - 1503032 T^{5} + 21129109 T^{6} - 185358374 T^{7} + 2184686027 T^{8} - 16680774433 T^{9} + 168939509917 T^{10} - 1117611887011 T^{11} + 9807055575203 T^{12} - 55748940639362 T^{13} + 425775232081189 T^{14} - 2029281239824424 T^{15} + 13126325378161421 T^{16} - 47776589584761209 T^{17} + 242828471178871318 T^{18} - 516924153529603993 T^{19} + 1822837804551761449 T^{20} )^{2} \))(\( ( 1 - 19 T + 598 T^{2} - 7883 T^{3} + 145109 T^{4} - 1503032 T^{5} + 21129109 T^{6} - 185358374 T^{7} + 2184686027 T^{8} - 16680774433 T^{9} + 168939509917 T^{10} - 1117611887011 T^{11} + 9807055575203 T^{12} - 55748940639362 T^{13} + 425775232081189 T^{14} - 2029281239824424 T^{15} + 13126325378161421 T^{16} - 47776589584761209 T^{17} + 242828471178871318 T^{18} - 516924153529603993 T^{19} + 1822837804551761449 T^{20} )^{2} \))(\( ( 1 - 4 T - 51 T^{2} - 268 T^{3} + 4489 T^{4} )^{2} \))(\( ( 1 - 5 T + 67 T^{2} )^{4}( 1 + 16 T + 67 T^{2} )^{4} \))(\( ( 1 + 12 T + 3 T^{2} - 1636 T^{3} - 9534 T^{4} + 61764 T^{5} + 1391979 T^{6} + 4138188 T^{7} - 42798126 T^{8} - 492048268 T^{9} + 60453363 T^{10} + 16201501284 T^{11} + 90458382169 T^{12} )^{2} \))(\( ( 1 + 7753 T^{4} + 39957888 T^{8} + 156231641113 T^{12} + 406067677556641 T^{16} )^{2} \))(\( ( 1 + 19 T + 138 T^{2} + 1691 T^{3} + 21053 T^{4} + 113297 T^{5} + 619482 T^{6} + 5714497 T^{7} + 20151121 T^{8} )^{2} \))(\( ( 1 - 15 T - 110 T^{2} + 1095 T^{3} + 30612 T^{4} - 158730 T^{5} - 2667925 T^{6} + 1012950 T^{7} + 259471373 T^{8} + 67867650 T^{9} - 11976315325 T^{10} - 47740110990 T^{11} + 616866116052 T^{12} + 1478386992165 T^{13} - 9950422038590 T^{14} - 90910674079845 T^{15} + 406067677556641 T^{16} )^{2} \))(\( ( 1 - 15 T - 110 T^{2} + 1095 T^{3} + 30612 T^{4} - 158730 T^{5} - 2667925 T^{6} + 1012950 T^{7} + 259471373 T^{8} + 67867650 T^{9} - 11976315325 T^{10} - 47740110990 T^{11} + 616866116052 T^{12} + 1478386992165 T^{13} - 9950422038590 T^{14} - 90910674079845 T^{15} + 406067677556641 T^{16} )^{2} \))(\( ( 1 - 4 T + 67 T^{2} - 740 T^{3} + 2960 T^{4} + 19784 T^{5} - 30619 T^{6} + 3660040 T^{7} - 34791281 T^{8} + 245222680 T^{9} - 137448691 T^{10} + 5950295192 T^{11} + 59647318160 T^{12} - 999092579180 T^{13} + 6060711605323 T^{14} - 24242846421292 T^{15} + 406067677556641 T^{16} )^{2} \))(\( ( 1 + 4 T + 67 T^{2} + 740 T^{3} + 2960 T^{4} - 19784 T^{5} - 30619 T^{6} - 3660040 T^{7} - 34791281 T^{8} - 245222680 T^{9} - 137448691 T^{10} - 5950295192 T^{11} + 59647318160 T^{12} + 999092579180 T^{13} + 6060711605323 T^{14} + 24242846421292 T^{15} + 406067677556641 T^{16} )^{2} \))(\( ( 1 - T - 158 T^{2} - 635 T^{3} + 12950 T^{4} + 78926 T^{5} - 498379 T^{6} - 3093920 T^{7} + 21148609 T^{8} - 207292640 T^{9} - 2237223331 T^{10} + 23738020538 T^{11} + 260957016950 T^{12} - 857329442945 T^{13} - 14292424382702 T^{14} - 6060711605323 T^{15} + 406067677556641 T^{16} )^{2} \))(\( ( 1 - T - 158 T^{2} - 635 T^{3} + 12950 T^{4} + 78926 T^{5} - 498379 T^{6} - 3093920 T^{7} + 21148609 T^{8} - 207292640 T^{9} - 2237223331 T^{10} + 23738020538 T^{11} + 260957016950 T^{12} - 857329442945 T^{13} - 14292424382702 T^{14} - 6060711605323 T^{15} + 406067677556641 T^{16} )^{2} \))
$71$ (\( 1 + 3 T + 71 T^{2} \))(\( 1 - 9 T + 71 T^{2} \))(\( 1 - T + 71 T^{2} \))(\( 1 + 12 T + 71 T^{2} \))(\( ( 1 - 6 T + 71 T^{2} )^{2} \))(\( 1 + 12 T + 158 T^{2} + 852 T^{3} + 5041 T^{4} \))(\( 1 + 9 T + 123 T^{2} + 477 T^{3} + 8733 T^{4} + 45369 T^{5} + 357911 T^{6} \))(\( 1 - 7 T + 127 T^{2} - 575 T^{3} + 9017 T^{4} - 35287 T^{5} + 357911 T^{6} \))(\( 1 - 7 T + 127 T^{2} - 575 T^{3} + 9017 T^{4} - 35287 T^{5} + 357911 T^{6} \))(\( 1 + 9 T + 123 T^{2} + 477 T^{3} + 8733 T^{4} + 45369 T^{5} + 357911 T^{6} \))(\( ( 1 + 13 T + 78 T^{2} + 923 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 - 18 T + 380 T^{2} - 4594 T^{3} + 55299 T^{4} - 470784 T^{5} + 3926229 T^{6} - 23158354 T^{7} + 136006180 T^{8} - 457410258 T^{9} + 1804229351 T^{10} )^{2} \))(\( ( 1 + 7607 T^{4} + 25411681 T^{8} )^{2} \))(\( ( 1 - 5 T + 201 T^{2} - 647 T^{3} + 14271 T^{4} - 25205 T^{5} + 357911 T^{6} )^{4} \))(\( ( 1 + 12 T + 212 T^{2} + 2164 T^{3} + 19610 T^{4} + 153644 T^{5} + 1068692 T^{6} + 4294932 T^{7} + 25411681 T^{8} )^{4} \))(\( ( 1 + 12 T + 71 T^{2} )^{2} \))(\( ( 1 + 12 T + 71 T^{2} )^{2} \))(\( ( 1 - T + 71 T^{2} )^{2} \))(\( ( 1 - 9 T + 71 T^{2} )^{2} \))(\( ( 1 - 9 T + 71 T^{2} )^{2} \))(\( ( 1 - T + 71 T^{2} )^{2} \))(\( ( 1 + 3 T + 71 T^{2} )^{2} \))(\( ( 1 + 3 T + 71 T^{2} )^{2} \))(\( ( 1 + 12 T + 158 T^{2} + 852 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 + 12 T + 158 T^{2} + 852 T^{3} + 5041 T^{4} )^{2} \))(\( ( 1 - 6 T + 71 T^{2} )^{4} \))(\( ( 1 - 7 T + 127 T^{2} - 575 T^{3} + 9017 T^{4} - 35287 T^{5} + 357911 T^{6} )^{2} \))(\( ( 1 + 9 T + 123 T^{2} + 477 T^{3} + 8733 T^{4} + 45369 T^{5} + 357911 T^{6} )^{2} \))(\( ( 1 + 13 T + 78 T^{2} + 923 T^{3} + 5041 T^{4} )^{4} \))(\( ( 1 - 18 T + 380 T^{2} - 4594 T^{3} + 55299 T^{4} - 470784 T^{5} + 3926229 T^{6} - 23158354 T^{7} + 136006180 T^{8} - 457410258 T^{9} + 1804229351 T^{10} )^{4} \))(\( 1 + 8 T - 47 T^{2} - 434 T^{3} + 1365 T^{4} - 30814 T^{5} - 236927 T^{6} + 2863288 T^{7} + 25411681 T^{8} \))(\( 1 + 8 T - 47 T^{2} - 434 T^{3} + 1365 T^{4} - 30814 T^{5} - 236927 T^{6} + 2863288 T^{7} + 25411681 T^{8} \))(\( ( 1 - 16 T + 71 T^{2} )^{4}( 1 + 16 T + 185 T^{2} + 1824 T^{3} + 16049 T^{4} + 129504 T^{5} + 932585 T^{6} + 5726576 T^{7} + 25411681 T^{8} ) \))(\( 1 + 14 T - 9 T^{2} - 147 T^{3} + 6927 T^{4} + 52059 T^{5} + 728307 T^{6} + 4047848 T^{7} - 14238189 T^{8} + 287397208 T^{9} + 3671395587 T^{10} + 18632488749 T^{11} + 176026714287 T^{12} - 265221714597 T^{13} - 1152902555289 T^{14} + 127331682217474 T^{15} + 645753531245761 T^{16} \))(\( 1 + 14 T + 140 T^{2} + 763 T^{3} + 10437 T^{4} + 25566 T^{5} + 32310 T^{6} - 3862236 T^{7} + 10586088 T^{8} - 330657408 T^{9} - 2081383949 T^{10} - 39603959100 T^{11} + 15217861524 T^{12} - 1721196695007 T^{13} + 1593568125167 T^{14} - 22773634065006 T^{15} + 1780879231377332 T^{16} - 1616928018615426 T^{17} + 8033176918966847 T^{18} - 616035230306650377 T^{19} + 386711442550061844 T^{20} - 71454625424023544100 T^{21} - \)\(26\!\cdots\!29\)\( T^{22} - \)\(30\!\cdots\!28\)\( T^{23} + \)\(68\!\cdots\!68\)\( T^{24} - \)\(17\!\cdots\!16\)\( T^{25} + \)\(10\!\cdots\!10\)\( T^{26} + \)\(59\!\cdots\!86\)\( T^{27} + \)\(17\!\cdots\!17\)\( T^{28} + \)\(88\!\cdots\!93\)\( T^{29} + \)\(11\!\cdots\!40\)\( T^{30} + \)\(82\!\cdots\!14\)\( T^{31} + \)\(41\!\cdots\!21\)\( T^{32} \))(\( ( 1 + 12 T - 69 T^{2} - 607 T^{3} + 10821 T^{4} + 74311 T^{5} - 129001 T^{6} + 940674 T^{7} + 33437687 T^{8} + 66787854 T^{9} - 650294041 T^{10} + 26596724321 T^{11} + 274979800101 T^{12} - 1095167216057 T^{13} - 8838919590549 T^{14} + 109141441900692 T^{15} + 645753531245761 T^{16} )^{2} \))(\( 1 - 10 T - 236 T^{2} + 1773 T^{3} + 34529 T^{4} - 237388 T^{5} - 2397950 T^{6} + 26019174 T^{7} + 27946683 T^{8} - 2944017720 T^{9} + 13326059662 T^{10} + 272540131841 T^{11} - 1613993839743 T^{12} - 17468487041589 T^{13} + 120818738827994 T^{14} + 610293886118144 T^{15} - 9252695990112759 T^{16} + 3834278980758372 T^{17} + 794365245428983470 T^{18} - 599224994314066827 T^{19} - 64584801311437439046 T^{20} - 42544974596298744717 T^{21} + \)\(40\!\cdots\!70\)\( T^{22} + \)\(13\!\cdots\!92\)\( T^{23} - \)\(23\!\cdots\!79\)\( T^{24} + \)\(11\!\cdots\!44\)\( T^{25} + \)\(15\!\cdots\!74\)\( T^{26} - \)\(15\!\cdots\!99\)\( T^{27} - \)\(10\!\cdots\!23\)\( T^{28} + \)\(12\!\cdots\!71\)\( T^{29} + \)\(43\!\cdots\!62\)\( T^{30} - \)\(68\!\cdots\!20\)\( T^{31} + \)\(45\!\cdots\!03\)\( T^{32} + \)\(30\!\cdots\!14\)\( T^{33} - \)\(19\!\cdots\!50\)\( T^{34} - \)\(13\!\cdots\!88\)\( T^{35} + \)\(14\!\cdots\!09\)\( T^{36} + \)\(52\!\cdots\!43\)\( T^{37} - \)\(49\!\cdots\!96\)\( T^{38} - \)\(14\!\cdots\!10\)\( T^{39} + \)\(10\!\cdots\!01\)\( T^{40} \))(\( 1 - 10 T - 236 T^{2} + 1773 T^{3} + 34529 T^{4} - 237388 T^{5} - 2397950 T^{6} + 26019174 T^{7} + 27946683 T^{8} - 2944017720 T^{9} + 13326059662 T^{10} + 272540131841 T^{11} - 1613993839743 T^{12} - 17468487041589 T^{13} + 120818738827994 T^{14} + 610293886118144 T^{15} - 9252695990112759 T^{16} + 3834278980758372 T^{17} + 794365245428983470 T^{18} - 599224994314066827 T^{19} - 64584801311437439046 T^{20} - 42544974596298744717 T^{21} + \)\(40\!\cdots\!70\)\( T^{22} + \)\(13\!\cdots\!92\)\( T^{23} - \)\(23\!\cdots\!79\)\( T^{24} + \)\(11\!\cdots\!44\)\( T^{25} + \)\(15\!\cdots\!74\)\( T^{26} - \)\(15\!\cdots\!99\)\( T^{27} - \)\(10\!\cdots\!23\)\( T^{28} + \)\(12\!\cdots\!71\)\( T^{29} + \)\(43\!\cdots\!62\)\( T^{30} - \)\(68\!\cdots\!20\)\( T^{31} + \)\(45\!\cdots\!03\)\( T^{32} + \)\(30\!\cdots\!14\)\( T^{33} - \)\(19\!\cdots\!50\)\( T^{34} - \)\(13\!\cdots\!88\)\( T^{35} + \)\(14\!\cdots\!09\)\( T^{36} + \)\(52\!\cdots\!43\)\( T^{37} - \)\(49\!\cdots\!96\)\( T^{38} - \)\(14\!\cdots\!10\)\( T^{39} + \)\(10\!\cdots\!01\)\( T^{40} \))(\( ( 1 + 16 T + 71 T^{2} )^{4} \))(\( ( 1 - 9 T + 71 T^{2} )^{8} \))(\( ( 1 - 5 T + 201 T^{2} - 647 T^{3} + 14271 T^{4} - 25205 T^{5} + 357911 T^{6} )^{4} \))(\( ( 1 + 7607 T^{4} + 25411681 T^{8} )^{4} \))(\( ( 1 + 8 T - 47 T^{2} - 434 T^{3} + 1365 T^{4} - 30814 T^{5} - 236927 T^{6} + 2863288 T^{7} + 25411681 T^{8} )^{2} \))(\( ( 1 + 14 T - 9 T^{2} - 147 T^{3} + 6927 T^{4} + 52059 T^{5} + 728307 T^{6} + 4047848 T^{7} - 14238189 T^{8} + 287397208 T^{9} + 3671395587 T^{10} + 18632488749 T^{11} + 176026714287 T^{12} - 265221714597 T^{13} - 1152902555289 T^{14} + 127331682217474 T^{15} + 645753531245761 T^{16} )^{2} \))(\( ( 1 + 14 T - 9 T^{2} - 147 T^{3} + 6927 T^{4} + 52059 T^{5} + 728307 T^{6} + 4047848 T^{7} - 14238189 T^{8} + 287397208 T^{9} + 3671395587 T^{10} + 18632488749 T^{11} + 176026714287 T^{12} - 265221714597 T^{13} - 1152902555289 T^{14} + 127331682217474 T^{15} + 645753531245761 T^{16} )^{2} \))(\( ( 1 - 16 T + 71 T^{2} )^{8}( 1 + 16 T + 185 T^{2} + 1824 T^{3} + 16049 T^{4} + 129504 T^{5} + 932585 T^{6} + 5726576 T^{7} + 25411681 T^{8} )^{2} \))(\( ( 1 + 16 T + 71 T^{2} )^{8}( 1 - 16 T + 185 T^{2} - 1824 T^{3} + 16049 T^{4} - 129504 T^{5} + 932585 T^{6} - 5726576 T^{7} + 25411681 T^{8} )^{2} \))(\( ( 1 + 28 T + 311 T^{2} + 1907 T^{3} + 10031 T^{4} - 8251 T^{5} - 1509411 T^{6} - 19087514 T^{7} - 158934393 T^{8} - 1355213494 T^{9} - 7608940851 T^{10} - 2953123661 T^{11} + 254904572111 T^{12} + 3440665372357 T^{13} + 39839188299431 T^{14} + 254663364434948 T^{15} + 645753531245761 T^{16} )^{2} \))(\( ( 1 + 28 T + 311 T^{2} + 1907 T^{3} + 10031 T^{4} - 8251 T^{5} - 1509411 T^{6} - 19087514 T^{7} - 158934393 T^{8} - 1355213494 T^{9} - 7608940851 T^{10} - 2953123661 T^{11} + 254904572111 T^{12} + 3440665372357 T^{13} + 39839188299431 T^{14} + 254663364434948 T^{15} + 645753531245761 T^{16} )^{2} \))
$73$ (\( 1 + 4 T + 73 T^{2} \))(\( 1 + 2 T + 73 T^{2} \))(\( 1 + 10 T + 73 T^{2} \))(\( 1 - 8 T + 73 T^{2} \))(\( 1 + 74 T^{2} + 5329 T^{4} \))(\( 1 - 6 T + 150 T^{2} - 438 T^{3} + 5329 T^{4} \))(\( 1 + 6 T + 228 T^{2} + 877 T^{3} + 16644 T^{4} + 31974 T^{5} + 389017 T^{6} \))(\( 1 + 20 T + 244 T^{2} + 2295 T^{3} + 17812 T^{4} + 106580 T^{5} + 389017 T^{6} \))(\( 1 - 20 T + 244 T^{2} - 2295 T^{3} + 17812 T^{4} - 106580 T^{5} + 389017 T^{6} \))(\( 1 - 6 T + 228 T^{2} - 877 T^{3} + 16644 T^{4} - 31974 T^{5} + 389017 T^{6} \))(\( 1 + 112 T^{2} + 8286 T^{4} + 596848 T^{6} + 28398241 T^{8} \))(\( 1 + 330 T^{2} + 53005 T^{4} + 5774264 T^{6} + 507265858 T^{8} + 39095718780 T^{10} + 2703219757282 T^{12} + 163978940669624 T^{14} + 8021470664448445 T^{16} + 266131830325046730 T^{18} + 4297625829703557649 T^{20} \))(\( ( 1 + 73 T^{2} )^{8} \))(\( ( 1 + 370 T^{2} + 60854 T^{4} + 5718229 T^{6} + 324290966 T^{8} + 10507349170 T^{10} + 151334226289 T^{12} )^{2} \))(\( ( 1 + 448 T^{2} + 93964 T^{4} + 12168800 T^{6} + 1066941046 T^{8} + 64847535200 T^{10} + 2668412317324 T^{12} + 67797733377472 T^{14} + 806460091894081 T^{16} )^{2} \))(\( 1 - 8 T - 9 T^{2} - 584 T^{3} + 5329 T^{4} \))(\( 1 + 8 T - 9 T^{2} + 584 T^{3} + 5329 T^{4} \))(\( ( 1 - 17 T + 73 T^{2} )( 1 + 7 T + 73 T^{2} ) \))(\( 1 + 2 T - 69 T^{2} + 146 T^{3} + 5329 T^{4} \))(\( 1 - 2 T - 69 T^{2} - 146 T^{3} + 5329 T^{4} \))(\( ( 1 - 7 T + 73 T^{2} )( 1 + 17 T + 73 T^{2} ) \))(\( 1 - 4 T - 57 T^{2} - 292 T^{3} + 5329 T^{4} \))(\( 1 + 4 T - 57 T^{2} + 292 T^{3} + 5329 T^{4} \))(\( 1 - 6 T - 114 T^{2} - 24 T^{3} + 14543 T^{4} - 1752 T^{5} - 607506 T^{6} - 2334102 T^{7} + 28398241 T^{8} \))(\( 1 + 6 T - 114 T^{2} + 24 T^{3} + 14543 T^{4} + 1752 T^{5} - 607506 T^{6} + 2334102 T^{7} + 28398241 T^{8} \))(\( 1 - 74 T^{2} + 147 T^{4} - 394346 T^{6} + 28398241 T^{8} \))(\( 1 + 20 T + 156 T^{2} + 290 T^{3} - 4176 T^{4} - 45920 T^{5} - 432669 T^{6} - 3352160 T^{7} - 22253904 T^{8} + 112814930 T^{9} + 4430125596 T^{10} + 41461431860 T^{11} + 151334226289 T^{12} \))(\( 1 - 6 T - 192 T^{2} + 386 T^{3} + 30078 T^{4} - 32202 T^{5} - 2439513 T^{6} - 2350746 T^{7} + 160285662 T^{8} + 150160562 T^{9} - 5452462272 T^{10} - 12438429558 T^{11} + 151334226289 T^{12} \))(\( 1 - 112 T^{2} + 4258 T^{4} + 265664 T^{6} - 26587421 T^{8} + 1415723456 T^{10} + 120919710178 T^{12} - 16949433344368 T^{14} + 806460091894081 T^{16} \))(\( 1 - 330 T^{2} + 55895 T^{4} - 5943122 T^{6} + 396757047 T^{8} - 10365115820 T^{10} - 1040649744430 T^{12} + 159408705016604 T^{14} - 11509883870230771 T^{16} + 579760317249654146 T^{18} - 31398581180895870391 T^{20} + \)\(30\!\cdots\!34\)\( T^{22} - \)\(32\!\cdots\!11\)\( T^{24} + \)\(24\!\cdots\!56\)\( T^{26} - \)\(83\!\cdots\!30\)\( T^{28} - \)\(44\!\cdots\!80\)\( T^{30} + \)\(90\!\cdots\!87\)\( T^{32} - \)\(72\!\cdots\!98\)\( T^{34} + \)\(36\!\cdots\!95\)\( T^{36} - \)\(11\!\cdots\!70\)\( T^{38} + \)\(18\!\cdots\!01\)\( T^{40} \))(\( 1 + 15 T + 17 T^{2} - 1095 T^{3} - 12356 T^{4} - 79935 T^{5} + 90593 T^{6} + 5835255 T^{7} + 28398241 T^{8} \))(\( 1 - 15 T + 17 T^{2} + 1095 T^{3} - 12356 T^{4} + 79935 T^{5} + 90593 T^{6} - 5835255 T^{7} + 28398241 T^{8} \))(\( ( 1 - 73 T^{2} + 5329 T^{4} - 389017 T^{6} + 28398241 T^{8} )^{2} \))(\( 1 + 3 T - 2 T^{2} + 345 T^{3} + 220 T^{4} + 100292 T^{5} + 620974 T^{6} - 13580 T^{7} + 31898639 T^{8} - 991340 T^{9} + 3309170446 T^{10} + 39015292964 T^{11} + 6247613020 T^{12} + 715209699585 T^{13} - 302668452578 T^{14} + 33142195557291 T^{15} + 806460091894081 T^{16} \))(\( 1 - 35 T + 622 T^{2} - 8881 T^{3} + 123217 T^{4} - 1506367 T^{5} + 15880754 T^{6} - 159131205 T^{7} + 1535260024 T^{8} - 13342640169 T^{9} + 108277262748 T^{10} - 880406179959 T^{11} + 6960680213462 T^{12} - 52467783616198 T^{13} + 405906809006112 T^{14} - 3284917386947140 T^{15} + 27500270697009885 T^{16} - 239798969247141220 T^{17} + 2163077385193570848 T^{18} - 20410859779022497366 T^{19} + \)\(19\!\cdots\!42\)\( T^{20} - \)\(18\!\cdots\!87\)\( T^{21} + \)\(16\!\cdots\!72\)\( T^{22} - \)\(14\!\cdots\!93\)\( T^{23} + \)\(12\!\cdots\!44\)\( T^{24} - \)\(93\!\cdots\!65\)\( T^{25} + \)\(68\!\cdots\!46\)\( T^{26} - \)\(47\!\cdots\!59\)\( T^{27} + \)\(28\!\cdots\!57\)\( T^{28} - \)\(14\!\cdots\!73\)\( T^{29} + \)\(75\!\cdots\!98\)\( T^{30} - \)\(31\!\cdots\!95\)\( T^{31} + \)\(65\!\cdots\!61\)\( T^{32} \))(\( 1 + 33 T^{2} + 18338 T^{4} - 5947 T^{6} + 150607036 T^{8} - 5410868090 T^{10} + 911373095922 T^{12} - 52840171778970 T^{14} + 5088303629418347 T^{16} - 281585275410131130 T^{18} + 25881392818909073202 T^{20} - \)\(81\!\cdots\!10\)\( T^{22} + \)\(12\!\cdots\!16\)\( T^{24} - \)\(25\!\cdots\!03\)\( T^{26} + \)\(41\!\cdots\!98\)\( T^{28} + \)\(40\!\cdots\!97\)\( T^{30} + \)\(65\!\cdots\!61\)\( T^{32} \))(\( 1 - 11 T - 48 T^{2} - 686 T^{3} + 24845 T^{4} + 13030 T^{5} - 1061807 T^{6} - 18526866 T^{7} + 83392747 T^{8} + 1700097909 T^{9} + 10479931 T^{10} - 96669423243 T^{11} - 836064859564 T^{12} + 8096428900914 T^{13} + 38159039480972 T^{14} - 38798341438801 T^{15} - 4470854156970605 T^{16} + 4197844691497285 T^{17} + 216608845816726586 T^{18} - 167670950128120683 T^{19} - 10944546577180599427 T^{20} - 12239979359352809859 T^{21} + \)\(11\!\cdots\!94\)\( T^{22} + \)\(16\!\cdots\!45\)\( T^{23} - \)\(12\!\cdots\!05\)\( T^{24} - \)\(80\!\cdots\!93\)\( T^{25} + \)\(57\!\cdots\!08\)\( T^{26} + \)\(89\!\cdots\!58\)\( T^{27} - \)\(67\!\cdots\!84\)\( T^{28} - \)\(56\!\cdots\!59\)\( T^{29} + \)\(45\!\cdots\!19\)\( T^{30} + \)\(53\!\cdots\!93\)\( T^{31} + \)\(19\!\cdots\!87\)\( T^{32} - \)\(30\!\cdots\!78\)\( T^{33} - \)\(12\!\cdots\!63\)\( T^{34} + \)\(11\!\cdots\!10\)\( T^{35} + \)\(16\!\cdots\!45\)\( T^{36} - \)\(32\!\cdots\!58\)\( T^{37} - \)\(16\!\cdots\!12\)\( T^{38} - \)\(27\!\cdots\!07\)\( T^{39} + \)\(18\!\cdots\!01\)\( T^{40} \))(\( 1 + 11 T - 48 T^{2} + 686 T^{3} + 24845 T^{4} - 13030 T^{5} - 1061807 T^{6} + 18526866 T^{7} + 83392747 T^{8} - 1700097909 T^{9} + 10479931 T^{10} + 96669423243 T^{11} - 836064859564 T^{12} - 8096428900914 T^{13} + 38159039480972 T^{14} + 38798341438801 T^{15} - 4470854156970605 T^{16} - 4197844691497285 T^{17} + 216608845816726586 T^{18} + 167670950128120683 T^{19} - 10944546577180599427 T^{20} + 12239979359352809859 T^{21} + \)\(11\!\cdots\!94\)\( T^{22} - \)\(16\!\cdots\!45\)\( T^{23} - \)\(12\!\cdots\!05\)\( T^{24} + \)\(80\!\cdots\!93\)\( T^{25} + \)\(57\!\cdots\!08\)\( T^{26} - \)\(89\!\cdots\!58\)\( T^{27} - \)\(67\!\cdots\!84\)\( T^{28} + \)\(56\!\cdots\!59\)\( T^{29} + \)\(45\!\cdots\!19\)\( T^{30} - \)\(53\!\cdots\!93\)\( T^{31} + \)\(19\!\cdots\!87\)\( T^{32} + \)\(30\!\cdots\!78\)\( T^{33} - \)\(12\!\cdots\!63\)\( T^{34} - \)\(11\!\cdots\!10\)\( T^{35} + \)\(16\!\cdots\!45\)\( T^{36} + \)\(32\!\cdots\!58\)\( T^{37} - \)\(16\!\cdots\!12\)\( T^{38} + \)\(27\!\cdots\!07\)\( T^{39} + \)\(18\!\cdots\!01\)\( T^{40} \))(\( ( 1 - 73 T^{2} + 5329 T^{4} )^{2} \))(\( ( 1 - 136 T^{2} + 13167 T^{4} - 724744 T^{6} + 28398241 T^{8} )^{2} \))(\( 1 - 370 T^{2} + 76046 T^{4} - 11079522 T^{6} + 1263173620 T^{8} - 118509141896 T^{10} + 9378689711155 T^{12} - 631535217163784 T^{14} + 35871908885602420 T^{16} - 1676710889521953858 T^{18} + 61328064148177283726 T^{20} - \)\(15\!\cdots\!30\)\( T^{22} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( ( 1 - 73 T^{2} + 5329 T^{4} )^{8} \))(\( 1 + 15 T + 208 T^{2} + 2445 T^{3} + 29070 T^{4} + 272130 T^{5} + 2789288 T^{6} + 23441760 T^{7} + 210261239 T^{8} + 1711248480 T^{9} + 14864115752 T^{10} + 105863196210 T^{11} + 825536865870 T^{12} + 5068660044885 T^{13} + 31477519068112 T^{14} + 165710977786455 T^{15} + 806460091894081 T^{16} \))(\( 1 - 3 T + 11 T^{2} + 696 T^{3} - 1251 T^{4} - 98282 T^{5} + 1060537 T^{6} - 2326410 T^{7} - 65290511 T^{8} + 308702063 T^{9} + 6492765102 T^{10} - 92451983031 T^{11} + 281336636896 T^{12} + 4375330012525 T^{13} - 27106436766918 T^{14} - 268331027179726 T^{15} + 5635646597034826 T^{16} - 19588164984119998 T^{17} - 144450201530906022 T^{18} + 1702077755482437925 T^{19} + 7989465616702099936 T^{20} - \)\(19\!\cdots\!83\)\( T^{21} + \)\(98\!\cdots\!78\)\( T^{22} + \)\(34\!\cdots\!11\)\( T^{23} - \)\(52\!\cdots\!91\)\( T^{24} - \)\(13\!\cdots\!30\)\( T^{25} + \)\(45\!\cdots\!13\)\( T^{26} - \)\(30\!\cdots\!14\)\( T^{27} - \)\(28\!\cdots\!71\)\( T^{28} + \)\(11\!\cdots\!68\)\( T^{29} + \)\(13\!\cdots\!99\)\( T^{30} - \)\(26\!\cdots\!71\)\( T^{31} + \)\(65\!\cdots\!61\)\( T^{32} \))(\( 1 + 3 T + 11 T^{2} - 696 T^{3} - 1251 T^{4} + 98282 T^{5} + 1060537 T^{6} + 2326410 T^{7} - 65290511 T^{8} - 308702063 T^{9} + 6492765102 T^{10} + 92451983031 T^{11} + 281336636896 T^{12} - 4375330012525 T^{13} - 27106436766918 T^{14} + 268331027179726 T^{15} + 5635646597034826 T^{16} + 19588164984119998 T^{17} - 144450201530906022 T^{18} - 1702077755482437925 T^{19} + 7989465616702099936 T^{20} + \)\(19\!\cdots\!83\)\( T^{21} + \)\(98\!\cdots\!78\)\( T^{22} - \)\(34\!\cdots\!11\)\( T^{23} - \)\(52\!\cdots\!91\)\( T^{24} + \)\(13\!\cdots\!30\)\( T^{25} + \)\(45\!\cdots\!13\)\( T^{26} + \)\(30\!\cdots\!14\)\( T^{27} - \)\(28\!\cdots\!71\)\( T^{28} - \)\(11\!\cdots\!68\)\( T^{29} + \)\(13\!\cdots\!99\)\( T^{30} + \)\(26\!\cdots\!71\)\( T^{31} + \)\(65\!\cdots\!61\)\( T^{32} \))(\( ( 1 + 73 T^{2} - 389017 T^{6} - 28398241 T^{8} - 2073071593 T^{10} + 11047398519097 T^{14} + 806460091894081 T^{16} )^{2} \))(\( ( 1 + 73 T^{2} - 389017 T^{6} - 28398241 T^{8} - 2073071593 T^{10} + 11047398519097 T^{14} + 806460091894081 T^{16} )^{2} \))(\( 1 - 94 T^{2} + 7099 T^{4} - 697244 T^{6} + 98639336 T^{8} - 6347191132 T^{10} + 416486770466 T^{12} - 37276607296622 T^{14} + 3754072715870197 T^{16} - 198647040283698638 T^{18} + 11827491681005150306 T^{20} - \)\(96\!\cdots\!48\)\( T^{22} + \)\(79\!\cdots\!16\)\( T^{24} - \)\(29\!\cdots\!56\)\( T^{26} + \)\(16\!\cdots\!79\)\( T^{28} - \)\(11\!\cdots\!46\)\( T^{30} + \)\(65\!\cdots\!61\)\( T^{32} \))(\( 1 + 71 T^{2} - 14606 T^{4} - 1463129 T^{6} + 29806451 T^{8} + 11532153893 T^{10} + 779704764986 T^{12} - 30597081762707 T^{14} - 7186256025308288 T^{16} - 163051848713465603 T^{18} + 22142243824920789626 T^{20} + \)\(17\!\cdots\!77\)\( T^{22} + \)\(24\!\cdots\!31\)\( T^{24} - \)\(62\!\cdots\!21\)\( T^{26} - \)\(33\!\cdots\!26\)\( T^{28} + \)\(86\!\cdots\!39\)\( T^{30} + \)\(65\!\cdots\!61\)\( T^{32} \))
$79$ (\( 1 + 10 T + 79 T^{2} \))(\( 1 + 10 T + 79 T^{2} \))(\( 1 - 6 T + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( ( 1 + 8 T + 79 T^{2} )^{2} \))(\( 1 + 78 T^{2} + 6241 T^{4} \))(\( 1 + 3 T + 123 T^{2} + 511 T^{3} + 9717 T^{4} + 18723 T^{5} + 493039 T^{6} \))(\( 1 - 3 T + 199 T^{2} - 333 T^{3} + 15721 T^{4} - 18723 T^{5} + 493039 T^{6} \))(\( 1 - 3 T + 199 T^{2} - 333 T^{3} + 15721 T^{4} - 18723 T^{5} + 493039 T^{6} \))(\( 1 + 3 T + 123 T^{2} + 511 T^{3} + 9717 T^{4} + 18723 T^{5} + 493039 T^{6} \))(\( ( 1 - 18 T + 222 T^{2} - 1422 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 - 4 T + 279 T^{2} - 1296 T^{3} + 35846 T^{4} - 155544 T^{5} + 2831834 T^{6} - 8088336 T^{7} + 137557881 T^{8} - 155800324 T^{9} + 3077056399 T^{10} )^{2} \))(\( ( 1 - 79 T^{2} )^{8} \))(\( ( 1 - 423 T^{2} + 77859 T^{4} - 8007347 T^{6} + 485918019 T^{8} - 16475884263 T^{10} + 243087455521 T^{12} )^{2} \))(\( ( 1 - 272 T^{2} + 20652 T^{4} + 996752 T^{6} - 224944794 T^{8} + 6220729232 T^{10} + 804397072812 T^{12} - 66119787901712 T^{14} + 1517108809906561 T^{16} )^{2} \))(\( 1 + 8 T - 15 T^{2} + 632 T^{3} + 6241 T^{4} \))(\( 1 + 8 T - 15 T^{2} + 632 T^{3} + 6241 T^{4} \))(\( 1 + 6 T - 43 T^{2} + 474 T^{3} + 6241 T^{4} \))(\( 1 - 10 T + 21 T^{2} - 790 T^{3} + 6241 T^{4} \))(\( 1 - 10 T + 21 T^{2} - 790 T^{3} + 6241 T^{4} \))(\( 1 + 6 T - 43 T^{2} + 474 T^{3} + 6241 T^{4} \))(\( 1 - 10 T + 21 T^{2} - 790 T^{3} + 6241 T^{4} \))(\( 1 - 10 T + 21 T^{2} - 790 T^{3} + 6241 T^{4} \))(\( 1 - 78 T^{2} - 157 T^{4} - 486798 T^{6} + 38950081 T^{8} \))(\( 1 - 78 T^{2} - 157 T^{4} - 486798 T^{6} + 38950081 T^{8} \))(\( ( 1 - 8 T - 15 T^{2} - 632 T^{3} + 6241 T^{4} )^{2} \))(\( 1 + 3 T - 190 T^{2} - 69 T^{3} + 22881 T^{4} - 9336 T^{5} - 2087681 T^{6} - 737544 T^{7} + 142800321 T^{8} - 34019691 T^{9} - 7400515390 T^{10} + 9231169197 T^{11} + 243087455521 T^{12} \))(\( 1 - 3 T - 114 T^{2} + 653 T^{3} + 3879 T^{4} - 23274 T^{5} - 4161 T^{6} - 1838646 T^{7} + 24208839 T^{8} + 321954467 T^{9} - 4440309234 T^{10} - 9231169197 T^{11} + 243087455521 T^{12} \))(\( ( 1 + 18 T + 102 T^{2} + 1152 T^{3} + 17447 T^{4} + 91008 T^{5} + 636582 T^{6} + 8874702 T^{7} + 38950081 T^{8} )^{2} \))(\( ( 1 + 4 T - 263 T^{2} - 1476 T^{3} + 36811 T^{4} + 230360 T^{5} - 3279926 T^{6} - 20921464 T^{7} + 220417813 T^{8} + 730793116 T^{9} - 14741429181 T^{10} + 57732656164 T^{11} + 1375627570933 T^{12} - 10315097689096 T^{13} - 127753383374006 T^{14} + 708830712073640 T^{15} + 8948292325183531 T^{16} - 28344969663570684 T^{17} - 398999617005425543 T^{18} + 479406383930473276 T^{19} + 9468276082626847201 T^{20} )^{2} \))(\( 1 + 9 T + 92 T^{2} + 1137 T^{3} + 15565 T^{4} + 89823 T^{5} + 574172 T^{6} + 4437351 T^{7} + 38950081 T^{8} \))(\( 1 + 9 T + 92 T^{2} + 1137 T^{3} + 15565 T^{4} + 89823 T^{5} + 574172 T^{6} + 4437351 T^{7} + 38950081 T^{8} \))(\( ( 1 - 8 T + 79 T^{2} )^{4}( 1 + 8 T - 15 T^{2} - 752 T^{3} - 4831 T^{4} - 59408 T^{5} - 93615 T^{6} + 3944312 T^{7} + 38950081 T^{8} ) \))(\( 1 + 9 T - 75 T^{2} - 768 T^{3} + 10031 T^{4} + 24564 T^{5} - 1553178 T^{6} - 1473567 T^{7} + 120297853 T^{8} - 116411793 T^{9} - 9693383898 T^{10} + 12111009996 T^{11} + 390708262511 T^{12} - 2363179314432 T^{13} - 18231559164075 T^{14} + 172835180875431 T^{15} + 1517108809906561 T^{16} \))(\( 1 - 15 T + 94 T^{2} - 2495 T^{3} + 38855 T^{4} - 414785 T^{5} + 5676295 T^{6} - 62322940 T^{7} + 690670255 T^{8} - 8423294280 T^{9} + 83337602737 T^{10} - 856819337855 T^{11} + 8989269459608 T^{12} - 82967566755485 T^{13} + 808287092858990 T^{14} - 7591629044633355 T^{15} + 65763672844350810 T^{16} - 599738694526035045 T^{17} + 5044519746532956590 T^{18} - 40906246145557568915 T^{19} + \)\(35\!\cdots\!48\)\( T^{20} - \)\(26\!\cdots\!45\)\( T^{21} + \)\(20\!\cdots\!77\)\( T^{22} - \)\(16\!\cdots\!20\)\( T^{23} + \)\(10\!\cdots\!55\)\( T^{24} - \)\(74\!\cdots\!60\)\( T^{25} + \)\(53\!\cdots\!95\)\( T^{26} - \)\(31\!\cdots\!15\)\( T^{27} + \)\(22\!\cdots\!55\)\( T^{28} - \)\(11\!\cdots\!05\)\( T^{29} + \)\(34\!\cdots\!14\)\( T^{30} - \)\(43\!\cdots\!85\)\( T^{31} + \)\(23\!\cdots\!21\)\( T^{32} \))(\( ( 1 - 7 T - 53 T^{2} - 908 T^{3} + 18697 T^{4} - 81020 T^{5} + 77938 T^{6} - 8514589 T^{7} + 156398465 T^{8} - 672652531 T^{9} + 486411058 T^{10} - 39946019780 T^{11} + 728249664457 T^{12} - 2793967210292 T^{13} - 12883635142613 T^{14} - 134427362903113 T^{15} + 1517108809906561 T^{16} )^{2} \))(\( 1 + 21 T + 221 T^{2} + 1111 T^{3} + 9233 T^{4} + 92390 T^{5} + 495916 T^{6} - 509218 T^{7} + 51739932 T^{8} + 1206940704 T^{9} + 7545647757 T^{10} - 37688518741 T^{11} - 831573469355 T^{12} - 4138553581025 T^{13} - 16493687015948 T^{14} - 242311129379835 T^{15} - 931349404850792 T^{16} + 14535413885744489 T^{17} + 47907546511311959 T^{18} - 4105994077608224158 T^{19} - 55233859392128561427 T^{20} - \)\(32\!\cdots\!82\)\( T^{21} + \)\(29\!\cdots\!19\)\( T^{22} + \)\(71\!\cdots\!71\)\( T^{23} - \)\(36\!\cdots\!52\)\( T^{24} - \)\(74\!\cdots\!65\)\( T^{25} - \)\(40\!\cdots\!08\)\( T^{26} - \)\(79\!\cdots\!75\)\( T^{27} - \)\(12\!\cdots\!55\)\( T^{28} - \)\(45\!\cdots\!79\)\( T^{29} + \)\(71\!\cdots\!57\)\( T^{30} + \)\(90\!\cdots\!16\)\( T^{31} + \)\(30\!\cdots\!12\)\( T^{32} - \)\(23\!\cdots\!02\)\( T^{33} + \)\(18\!\cdots\!96\)\( T^{34} + \)\(26\!\cdots\!10\)\( T^{35} + \)\(21\!\cdots\!93\)\( T^{36} + \)\(20\!\cdots\!49\)\( T^{37} + \)\(31\!\cdots\!81\)\( T^{38} + \)\(23\!\cdots\!99\)\( T^{39} + \)\(89\!\cdots\!01\)\( T^{40} \))(\( 1 + 21 T + 221 T^{2} + 1111 T^{3} + 9233 T^{4} + 92390 T^{5} + 495916 T^{6} - 509218 T^{7} + 51739932 T^{8} + 1206940704 T^{9} + 7545647757 T^{10} - 37688518741 T^{11} - 831573469355 T^{12} - 4138553581025 T^{13} - 16493687015948 T^{14} - 242311129379835 T^{15} - 931349404850792 T^{16} + 14535413885744489 T^{17} + 47907546511311959 T^{18} - 4105994077608224158 T^{19} - 55233859392128561427 T^{20} - \)\(32\!\cdots\!82\)\( T^{21} + \)\(29\!\cdots\!19\)\( T^{22} + \)\(71\!\cdots\!71\)\( T^{23} - \)\(36\!\cdots\!52\)\( T^{24} - \)\(74\!\cdots\!65\)\( T^{25} - \)\(40\!\cdots\!08\)\( T^{26} - \)\(79\!\cdots\!75\)\( T^{27} - \)\(12\!\cdots\!55\)\( T^{28} - \)\(45\!\cdots\!79\)\( T^{29} + \)\(71\!\cdots\!57\)\( T^{30} + \)\(90\!\cdots\!16\)\( T^{31} + \)\(30\!\cdots\!12\)\( T^{32} - \)\(23\!\cdots\!02\)\( T^{33} + \)\(18\!\cdots\!96\)\( T^{34} + \)\(26\!\cdots\!10\)\( T^{35} + \)\(21\!\cdots\!93\)\( T^{36} + \)\(20\!\cdots\!49\)\( T^{37} + \)\(31\!\cdots\!81\)\( T^{38} + \)\(23\!\cdots\!99\)\( T^{39} + \)\(89\!\cdots\!01\)\( T^{40} \))(\( ( 1 - 8 T - 15 T^{2} - 632 T^{3} + 6241 T^{4} )( 1 + 8 T - 15 T^{2} + 632 T^{3} + 6241 T^{4} ) \))(\( ( 1 + 86 T^{2} + 1155 T^{4} + 536726 T^{6} + 38950081 T^{8} )^{2} \))(\( 1 + 423 T^{2} + 101070 T^{4} + 16919663 T^{6} + 2188998081 T^{8} + 228833270262 T^{10} + 19801390804881 T^{12} + 1428148439705142 T^{14} + 85261652563794561 T^{16} + 4112957826942809423 T^{18} + \)\(15\!\cdots\!70\)\( T^{20} + \)\(40\!\cdots\!23\)\( T^{22} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( ( 1 + 79 T^{2} + 6241 T^{4} )^{8} \))(\( 1 - 9 T - 11 T^{2} + 1446 T^{3} - 17334 T^{4} + 85743 T^{5} + 200726 T^{6} - 10774872 T^{7} + 128238887 T^{8} - 851214888 T^{9} + 1252730966 T^{10} + 42274642977 T^{11} - 675160704054 T^{12} + 4449423552954 T^{13} - 2673962010731 T^{14} - 172835180875431 T^{15} + 1517108809906561 T^{16} \))(\( 1 - 9 T + 156 T^{2} - 861 T^{3} + 2506 T^{4} + 98394 T^{5} - 1985283 T^{6} + 19471377 T^{7} - 143824296 T^{8} + 713258136 T^{9} + 7748031243 T^{10} - 94344490293 T^{11} + 1366072992785 T^{12} - 5625357609390 T^{13} + 11704956821451 T^{14} + 387894213236796 T^{15} - 6232535914916185 T^{16} + 30643642845706884 T^{17} + 73050635522675691 T^{18} - 2773520690376036210 T^{19} + 53208653720888165585 T^{20} - \)\(29\!\cdots\!07\)\( T^{21} + \)\(18\!\cdots\!03\)\( T^{22} + \)\(13\!\cdots\!24\)\( T^{23} - \)\(21\!\cdots\!56\)\( T^{24} + \)\(23\!\cdots\!63\)\( T^{25} - \)\(18\!\cdots\!83\)\( T^{26} + \)\(73\!\cdots\!26\)\( T^{27} + \)\(14\!\cdots\!46\)\( T^{28} - \)\(40\!\cdots\!79\)\( T^{29} + \)\(57\!\cdots\!36\)\( T^{30} - \)\(26\!\cdots\!91\)\( T^{31} + \)\(23\!\cdots\!21\)\( T^{32} \))(\( 1 - 9 T + 156 T^{2} - 861 T^{3} + 2506 T^{4} + 98394 T^{5} - 1985283 T^{6} + 19471377 T^{7} - 143824296 T^{8} + 713258136 T^{9} + 7748031243 T^{10} - 94344490293 T^{11} + 1366072992785 T^{12} - 5625357609390 T^{13} + 11704956821451 T^{14} + 387894213236796 T^{15} - 6232535914916185 T^{16} + 30643642845706884 T^{17} + 73050635522675691 T^{18} - 2773520690376036210 T^{19} + 53208653720888165585 T^{20} - \)\(29\!\cdots\!07\)\( T^{21} + \)\(18\!\cdots\!03\)\( T^{22} + \)\(13\!\cdots\!24\)\( T^{23} - \)\(21\!\cdots\!56\)\( T^{24} + \)\(23\!\cdots\!63\)\( T^{25} - \)\(18\!\cdots\!83\)\( T^{26} + \)\(73\!\cdots\!26\)\( T^{27} + \)\(14\!\cdots\!46\)\( T^{28} - \)\(40\!\cdots\!79\)\( T^{29} + \)\(57\!\cdots\!36\)\( T^{30} - \)\(26\!\cdots\!91\)\( T^{31} + \)\(23\!\cdots\!21\)\( T^{32} \))(\( ( 1 + 8 T - 15 T^{2} + 632 T^{3} + 6241 T^{4} )^{4}( 1 - 8 T + 79 T^{2} - 1384 T^{3} + 11072 T^{4} - 29168 T^{5} + 781073 T^{6} - 5046064 T^{7} + 1418431 T^{8} - 398639056 T^{9} + 4874676593 T^{10} - 14380961552 T^{11} + 431255296832 T^{12} - 4258646056216 T^{13} + 19203908986159 T^{14} - 153631271889272 T^{15} + 1517108809906561 T^{16} ) \))(\( ( 1 - 8 T - 15 T^{2} - 632 T^{3} + 6241 T^{4} )^{4}( 1 - 8 T + 79 T^{2} - 1384 T^{3} + 11072 T^{4} - 29168 T^{5} + 781073 T^{6} - 5046064 T^{7} + 1418431 T^{8} - 398639056 T^{9} + 4874676593 T^{10} - 14380961552 T^{11} + 431255296832 T^{12} - 4258646056216 T^{13} + 19203908986159 T^{14} - 153631271889272 T^{15} + 1517108809906561 T^{16} ) \))(\( ( 1 + 29 T + 195 T^{2} - 3258 T^{3} - 57689 T^{4} - 121901 T^{5} + 3182607 T^{6} + 16481838 T^{7} - 33651507 T^{8} + 1302065202 T^{9} + 19862650287 T^{10} - 60101947139 T^{11} - 2246991222809 T^{12} - 10025049747942 T^{13} + 47402053826595 T^{14} + 556913360598611 T^{15} + 1517108809906561 T^{16} )^{2} \))(\( ( 1 - 4 T + 45 T^{2} - 942 T^{3} + 2986 T^{4} + 70651 T^{5} + 16632 T^{6} + 5047587 T^{7} - 90697407 T^{8} + 398759373 T^{9} + 103800312 T^{10} + 34833698389 T^{11} + 116304941866 T^{12} - 2898587127858 T^{13} + 10938935498445 T^{14} - 76815635944636 T^{15} + 1517108809906561 T^{16} )^{2} \))
$83$ (\( 1 - 6 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( 1 + 83 T^{2} \))(\( 1 + 38 T^{2} + 6889 T^{4} \))(\( 1 + 4 T - 10 T^{2} + 332 T^{3} + 6889 T^{4} \))(\( 1 - 15 T + 267 T^{2} - 2223 T^{3} + 22161 T^{4} - 103335 T^{5} + 571787 T^{6} \))(\( 1 + 11 T + 265 T^{2} + 1823 T^{3} + 21995 T^{4} + 75779 T^{5} + 571787 T^{6} \))(\( 1 - 11 T + 265 T^{2} - 1823 T^{3} + 21995 T^{4} - 75779 T^{5} + 571787 T^{6} \))(\( 1 + 15 T + 267 T^{2} + 2223 T^{3} + 22161 T^{4} + 103335 T^{5} + 571787 T^{6} \))(\( 1 + 252 T^{2} + 28566 T^{4} + 1736028 T^{6} + 47458321 T^{8} \))(\( 1 + 542 T^{2} + 145909 T^{4} + 25508264 T^{6} + 3212013298 T^{8} + 304929585716 T^{10} + 22127559609922 T^{12} + 1210579381064744 T^{14} + 47703542937897421 T^{16} + 1220742389819360222 T^{18} + 15516041187205853449 T^{20} \))(\( ( 1 + 83 T^{2} )^{8} \))(\( ( 1 + 27 T^{2} + 16191 T^{4} + 314125 T^{6} + 111539799 T^{8} + 1281374667 T^{10} + 326940373369 T^{12} )^{2} \))(\( ( 1 + 376 T^{2} + 79676 T^{4} + 10918536 T^{6} + 1072447782 T^{8} + 75217794504 T^{10} + 3781289183996 T^{12} + 122929580386744 T^{14} + 2252292232139041 T^{16} )^{2} \))(\( ( 1 + 83 T^{2} )^{2} \))(\( ( 1 + 83 T^{2} )^{2} \))(\( ( 1 + 12 T + 83 T^{2} )^{2} \))(\( ( 1 - 12 T + 83 T^{2} )^{2} \))(\( ( 1 + 12 T + 83 T^{2} )^{2} \))(\( ( 1 - 12 T + 83 T^{2} )^{2} \))(\( ( 1 - 6 T + 83 T^{2} )^{2} \))(\( ( 1 + 6 T + 83 T^{2} )^{2} \))(\( ( 1 - 4 T - 10 T^{2} - 332 T^{3} + 6889 T^{4} )^{2} \))(\( ( 1 + 4 T - 10 T^{2} + 332 T^{3} + 6889 T^{4} )^{2} \))(\( ( 1 + 38 T^{2} + 6889 T^{4} )^{2} \))(\( ( 1 - 11 T + 265 T^{2} - 1823 T^{3} + 21995 T^{4} - 75779 T^{5} + 571787 T^{6} )^{2} \))(\( ( 1 - 15 T + 267 T^{2} - 2223 T^{3} + 22161 T^{4} - 103335 T^{5} + 571787 T^{6} )^{2} \))(\( ( 1 + 252 T^{2} + 28566 T^{4} + 1736028 T^{6} + 47458321 T^{8} )^{2} \))(\( ( 1 + 542 T^{2} + 145909 T^{4} + 25508264 T^{6} + 3212013298 T^{8} + 304929585716 T^{10} + 22127559609922 T^{12} + 1210579381064744 T^{14} + 47703542937897421 T^{16} + 1220742389819360222 T^{18} + 15516041187205853449 T^{20} )^{2} \))(\( 1 - 9 T - 2 T^{2} + 765 T^{3} - 6719 T^{4} + 63495 T^{5} - 13778 T^{6} - 5146083 T^{7} + 47458321 T^{8} \))(\( 1 + 9 T - 2 T^{2} - 765 T^{3} - 6719 T^{4} - 63495 T^{5} - 13778 T^{6} + 5146083 T^{7} + 47458321 T^{8} \))(\( ( 1 - 83 T^{2} + 6889 T^{4} - 571787 T^{6} + 47458321 T^{8} )^{2} \))(\( 1 + 23 T + 98 T^{2} - 1745 T^{3} - 15470 T^{4} + 98632 T^{5} + 1750974 T^{6} - 1504700 T^{7} - 137136651 T^{8} - 124890100 T^{9} + 12062459886 T^{10} + 56396495384 T^{11} - 734180225870 T^{12} - 6873625922035 T^{13} + 32040156590162 T^{14} + 624129172761421 T^{15} + 2252292232139041 T^{16} \))(\( 1 + 5 T - 318 T^{2} - 3741 T^{3} + 48517 T^{4} + 994133 T^{5} - 3255786 T^{6} - 170309105 T^{7} - 263285806 T^{8} + 21750909411 T^{9} + 119250152558 T^{10} - 2097202277489 T^{11} - 20999477370338 T^{12} + 141328121959992 T^{13} + 2545394345691772 T^{14} - 4513257769614610 T^{15} - 237031046695965905 T^{16} - 374600394878012630 T^{17} + 17535221647470617308 T^{18} + 80809582871137945704 T^{19} - \)\(99\!\cdots\!98\)\( T^{20} - \)\(82\!\cdots\!27\)\( T^{21} + \)\(38\!\cdots\!02\)\( T^{22} + \)\(59\!\cdots\!97\)\( T^{23} - \)\(59\!\cdots\!46\)\( T^{24} - \)\(31\!\cdots\!15\)\( T^{25} - \)\(50\!\cdots\!14\)\( T^{26} + \)\(12\!\cdots\!11\)\( T^{27} + \)\(51\!\cdots\!37\)\( T^{28} - \)\(33\!\cdots\!83\)\( T^{29} - \)\(23\!\cdots\!22\)\( T^{30} + \)\(30\!\cdots\!35\)\( T^{31} + \)\(50\!\cdots\!81\)\( T^{32} \))(\( 1 - 247 T^{2} + 31018 T^{4} - 3543517 T^{6} + 296657836 T^{8} - 13415720900 T^{10} + 493337537422 T^{12} + 16436935050340 T^{14} - 5744164398520153 T^{16} + 113234045561792260 T^{18} + 23412971212322788462 T^{20} - \)\(43\!\cdots\!00\)\( T^{22} + \)\(66\!\cdots\!76\)\( T^{24} - \)\(54\!\cdots\!33\)\( T^{26} + \)\(33\!\cdots\!98\)\( T^{28} - \)\(18\!\cdots\!63\)\( T^{30} + \)\(50\!\cdots\!81\)\( T^{32} \))(\( 1 - 23 T + 38 T^{2} + 1717 T^{3} - 917 T^{4} + 17729 T^{5} - 1129331 T^{6} - 10660869 T^{7} + 39011491 T^{8} + 1379052355 T^{9} + 8685455309 T^{10} - 52049999870 T^{11} - 1636388406828 T^{12} - 868978071830 T^{13} + 82679563690933 T^{14} + 385062299353349 T^{15} + 3303896614532187 T^{16} - 52270149877362932 T^{17} - 608061447675734881 T^{18} + 2514846822719758200 T^{19} + 45035074305999609868 T^{20} + \)\(20\!\cdots\!00\)\( T^{21} - \)\(41\!\cdots\!09\)\( T^{22} - \)\(29\!\cdots\!84\)\( T^{23} + \)\(15\!\cdots\!27\)\( T^{24} + \)\(15\!\cdots\!07\)\( T^{25} + \)\(27\!\cdots\!77\)\( T^{26} - \)\(23\!\cdots\!10\)\( T^{27} - \)\(36\!\cdots\!48\)\( T^{28} - \)\(97\!\cdots\!10\)\( T^{29} + \)\(13\!\cdots\!41\)\( T^{30} + \)\(17\!\cdots\!85\)\( T^{31} + \)\(41\!\cdots\!51\)\( T^{32} - \)\(94\!\cdots\!47\)\( T^{33} - \)\(83\!\cdots\!99\)\( T^{34} + \)\(10\!\cdots\!03\)\( T^{35} - \)\(46\!\cdots\!77\)\( T^{36} + \)\(72\!\cdots\!91\)\( T^{37} + \)\(13\!\cdots\!42\)\( T^{38} - \)\(66\!\cdots\!81\)\( T^{39} + \)\(24\!\cdots\!01\)\( T^{40} \))(\( 1 + 23 T + 38 T^{2} - 1717 T^{3} - 917 T^{4} - 17729 T^{5} - 1129331 T^{6} + 10660869 T^{7} + 39011491 T^{8} - 1379052355 T^{9} + 8685455309 T^{10} + 52049999870 T^{11} - 1636388406828 T^{12} + 868978071830 T^{13} + 82679563690933 T^{14} - 385062299353349 T^{15} + 3303896614532187 T^{16} + 52270149877362932 T^{17} - 608061447675734881 T^{18} - 2514846822719758200 T^{19} + 45035074305999609868 T^{20} - \)\(20\!\cdots\!00\)\( T^{21} - \)\(41\!\cdots\!09\)\( T^{22} + \)\(29\!\cdots\!84\)\( T^{23} + \)\(15\!\cdots\!27\)\( T^{24} - \)\(15\!\cdots\!07\)\( T^{25} + \)\(27\!\cdots\!77\)\( T^{26} + \)\(23\!\cdots\!10\)\( T^{27} - \)\(36\!\cdots\!48\)\( T^{28} + \)\(97\!\cdots\!10\)\( T^{29} + \)\(13\!\cdots\!41\)\( T^{30} - \)\(17\!\cdots\!85\)\( T^{31} + \)\(41\!\cdots\!51\)\( T^{32} + \)\(94\!\cdots\!47\)\( T^{33} - \)\(83\!\cdots\!99\)\( T^{34} - \)\(10\!\cdots\!03\)\( T^{35} - \)\(46\!\cdots\!77\)\( T^{36} - \)\(72\!\cdots\!91\)\( T^{37} + \)\(13\!\cdots\!42\)\( T^{38} + \)\(66\!\cdots\!81\)\( T^{39} + \)\(24\!\cdots\!01\)\( T^{40} \))(\( ( 1 + 83 T^{2} )^{4} \))(\( ( 1 + 76 T^{2} + 6889 T^{4} )^{4} \))(\( ( 1 + 27 T^{2} + 16191 T^{4} + 314125 T^{6} + 111539799 T^{8} + 1281374667 T^{10} + 326940373369 T^{12} )^{2} \))(\( ( 1 + 83 T^{2} )^{16} \))(\( ( 1 + 9 T - 2 T^{2} - 765 T^{3} - 6719 T^{4} - 63495 T^{5} - 13778 T^{6} + 5146083 T^{7} + 47458321 T^{8} )^{2} \))(\( ( 1 + 23 T + 98 T^{2} - 1745 T^{3} - 15470 T^{4} + 98632 T^{5} + 1750974 T^{6} - 1504700 T^{7} - 137136651 T^{8} - 124890100 T^{9} + 12062459886 T^{10} + 56396495384 T^{11} - 734180225870 T^{12} - 6873625922035 T^{13} + 32040156590162 T^{14} + 624129172761421 T^{15} + 2252292232139041 T^{16} )^{2} \))(\( ( 1 - 23 T + 98 T^{2} + 1745 T^{3} - 15470 T^{4} - 98632 T^{5} + 1750974 T^{6} + 1504700 T^{7} - 137136651 T^{8} + 124890100 T^{9} + 12062459886 T^{10} - 56396495384 T^{11} - 734180225870 T^{12} + 6873625922035 T^{13} + 32040156590162 T^{14} - 624129172761421 T^{15} + 2252292232139041 T^{16} )^{2} \))(\( ( 1 - 83 T^{2} + 6889 T^{4} - 571787 T^{6} + 47458321 T^{8} )^{4} \))(\( ( 1 - 83 T^{2} + 6889 T^{4} - 571787 T^{6} + 47458321 T^{8} )^{4} \))(\( 1 - 97 T^{2} + 16850 T^{4} - 1726555 T^{6} + 145607140 T^{8} - 9460226116 T^{10} + 616698856582 T^{12} - 21019950912420 T^{14} + 1372062609692295 T^{16} - 144806441835661380 T^{18} + 29267492296001518822 T^{20} - \)\(30\!\cdots\!04\)\( T^{22} + \)\(32\!\cdots\!40\)\( T^{24} - \)\(26\!\cdots\!95\)\( T^{26} + \)\(18\!\cdots\!50\)\( T^{28} - \)\(71\!\cdots\!13\)\( T^{30} + \)\(50\!\cdots\!81\)\( T^{32} \))(\( 1 - 97 T^{2} + 16850 T^{4} - 1726555 T^{6} + 145607140 T^{8} - 9460226116 T^{10} + 616698856582 T^{12} - 21019950912420 T^{14} + 1372062609692295 T^{16} - 144806441835661380 T^{18} + 29267492296001518822 T^{20} - \)\(30\!\cdots\!04\)\( T^{22} + \)\(32\!\cdots\!40\)\( T^{24} - \)\(26\!\cdots\!95\)\( T^{26} + \)\(18\!\cdots\!50\)\( T^{28} - \)\(71\!\cdots\!13\)\( T^{30} + \)\(50\!\cdots\!81\)\( T^{32} \))
$89$ (\( 1 + 15 T + 89 T^{2} \))(\( 1 - 3 T + 89 T^{2} \))(\( 1 - 15 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 - 64 T^{2} + 7921 T^{4} \))(\( ( 1 + 2 T + 89 T^{2} )^{2} \))(\( 1 - 15 T + 339 T^{2} - 2781 T^{3} + 30171 T^{4} - 118815 T^{5} + 704969 T^{6} \))(\( 1 - T + 259 T^{2} - 175 T^{3} + 23051 T^{4} - 7921 T^{5} + 704969 T^{6} \))(\( 1 + T + 259 T^{2} + 175 T^{3} + 23051 T^{4} + 7921 T^{5} + 704969 T^{6} \))(\( 1 + 15 T + 339 T^{2} + 2781 T^{3} + 30171 T^{4} + 118815 T^{5} + 704969 T^{6} \))(\( 1 - 35 T^{2} + 14920 T^{4} - 277235 T^{6} + 62742241 T^{8} \))(\( 1 + 856 T^{2} + 332602 T^{4} + 77249184 T^{6} + 11876545129 T^{8} + 1262945061008 T^{10} + 94074113966809 T^{12} + 4846786919581344 T^{14} + 165296971336210522 T^{16} + 3369720017680981336 T^{18} + 31181719929966183601 T^{20} \))(\( 1 - 84100993 T^{8} + 3936588805702081 T^{16} \))(\( ( 1 - 335 T^{2} + 50801 T^{4} - 5135003 T^{6} + 402394721 T^{8} - 21018650735 T^{10} + 496981290961 T^{12} )^{2} \))(\( ( 1 - 240 T^{2} + 35392 T^{4} - 4319984 T^{6} + 423795650 T^{8} - 34218593264 T^{10} + 2220573393472 T^{12} - 119275509830640 T^{14} + 3936588805702081 T^{16} )^{2} \))(\( 1 - 6 T - 53 T^{2} - 534 T^{3} + 7921 T^{4} \))(\( 1 + 6 T - 53 T^{2} + 534 T^{3} + 7921 T^{4} \))(\( 1 + 15 T + 136 T^{2} + 1335 T^{3} + 7921 T^{4} \))(\( 1 - 3 T - 80 T^{2} - 267 T^{3} + 7921 T^{4} \))(\( 1 + 3 T - 80 T^{2} + 267 T^{3} + 7921 T^{4} \))(\( 1 - 15 T + 136 T^{2} - 1335 T^{3} + 7921 T^{4} \))(\( 1 - 15 T + 136 T^{2} - 1335 T^{3} + 7921 T^{4} \))(\( 1 + 15 T + 136 T^{2} + 1335 T^{3} + 7921 T^{4} \))(\( ( 1 + 2 T - 85 T^{2} + 178 T^{3} + 7921 T^{4} )^{2} \))(\( ( 1 - 2 T - 85 T^{2} - 178 T^{3} + 7921 T^{4} )^{2} \))(\( 1 + 64 T^{2} - 3825 T^{4} + 506944 T^{6} + 62742241 T^{8} \))(\( 1 - T - 258 T^{2} + 91 T^{3} + 43855 T^{4} - 7144 T^{5} - 4537567 T^{6} - 635816 T^{7} + 347375455 T^{8} + 64152179 T^{9} - 16187498178 T^{10} - 5584059449 T^{11} + 496981290961 T^{12} \))(\( 1 + 15 T - 114 T^{2} - 477 T^{3} + 43035 T^{4} + 156444 T^{5} - 2866295 T^{6} + 13923516 T^{7} + 340880235 T^{8} - 336270213 T^{9} - 7152615474 T^{10} + 83760891735 T^{11} + 496981290961 T^{12} \))(\( 1 + 35 T^{2} - 13695 T^{4} - 32270 T^{6} + 150160934 T^{8} - 255610670 T^{10} - 859254990495 T^{12} + 17394345183635 T^{14} + 3936588805702081 T^{16} \))(\( 1 - 856 T^{2} + 400134 T^{4} - 130208944 T^{6} + 32622243771 T^{8} - 6623532896928 T^{10} + 1124341021380968 T^{12} - 162711542066828952 T^{14} + 20334012582873852557 T^{16} - \)\(22\!\cdots\!68\)\( T^{18} + \)\(21\!\cdots\!78\)\( T^{20} - \)\(17\!\cdots\!28\)\( T^{22} + \)\(12\!\cdots\!37\)\( T^{24} - \)\(80\!\cdots\!72\)\( T^{26} + \)\(44\!\cdots\!08\)\( T^{28} - \)\(20\!\cdots\!28\)\( T^{30} + \)\(80\!\cdots\!91\)\( T^{32} - \)\(25\!\cdots\!04\)\( T^{34} + \)\(62\!\cdots\!74\)\( T^{36} - \)\(10\!\cdots\!36\)\( T^{38} + \)\(97\!\cdots\!01\)\( T^{40} \))(\( ( 1 - 12 T + 194 T^{2} - 1068 T^{3} + 7921 T^{4} )^{2} \))(\( ( 1 + 12 T + 194 T^{2} + 1068 T^{3} + 7921 T^{4} )^{2} \))(\( ( 1 + 89 T^{2} )^{8} \))(\( ( 1 - 17 T + 312 T^{2} - 3419 T^{3} + 38939 T^{4} - 304291 T^{5} + 2471352 T^{6} - 11984473 T^{7} + 62742241 T^{8} )^{2} \))(\( ( 1 + 37 T + 1032 T^{2} + 20901 T^{3} + 357823 T^{4} + 5152639 T^{5} + 65606528 T^{6} + 731972999 T^{7} + 7339853952 T^{8} + 65145596911 T^{9} + 519669308288 T^{10} + 3632450763191 T^{11} + 22450616901343 T^{12} + 116712426543549 T^{13} + 512884692271752 T^{14} + 1636559391134573 T^{15} + 3936588805702081 T^{16} )^{2} \))(\( ( 1 + 495 T^{2} + 120660 T^{4} + 18629085 T^{6} + 1978066317 T^{8} + 147560982285 T^{10} + 7570478799060 T^{12} + 246005739025695 T^{14} + 3936588805702081 T^{16} )^{2} \))(\( ( 1 + 5 T + 383 T^{2} - 687 T^{3} + 52145 T^{4} - 607943 T^{5} + 5143658 T^{6} - 98649841 T^{7} + 787938005 T^{8} - 8636833914 T^{9} + 95283355325 T^{10} - 768678218346 T^{11} + 6241256937605 T^{12} - 69545079759929 T^{13} + 322724629857578 T^{14} - 3394789853603407 T^{15} + 25915089417161345 T^{16} - 30386927073228423 T^{17} + 1507713512583897023 T^{18} + 1751782018537426045 T^{19} + 31181719929966183601 T^{20} )^{2} \))(\( ( 1 - 5 T + 383 T^{2} + 687 T^{3} + 52145 T^{4} + 607943 T^{5} + 5143658 T^{6} + 98649841 T^{7} + 787938005 T^{8} + 8636833914 T^{9} + 95283355325 T^{10} + 768678218346 T^{11} + 6241256937605 T^{12} + 69545079759929 T^{13} + 322724629857578 T^{14} + 3394789853603407 T^{15} + 25915089417161345 T^{16} + 30386927073228423 T^{17} + 1507713512583897023 T^{18} - 1751782018537426045 T^{19} + 31181719929966183601 T^{20} )^{2} \))(\( ( 1 + 89 T^{2} + 7921 T^{4} )^{2} \))(\( ( 1 + 173 T^{2} + 22008 T^{4} + 1370333 T^{6} + 62742241 T^{8} )^{2} \))(\( ( 1 - 33 T + 712 T^{2} - 11517 T^{3} + 157301 T^{4} - 1850406 T^{5} + 18759895 T^{6} - 164686134 T^{7} + 1245981221 T^{8} - 8119127973 T^{9} + 44672475592 T^{10} - 184273961817 T^{11} + 496981290961 T^{12} )^{2} \))(\( 1 + 84100993 T^{8} + 3136388217883968 T^{16} + \)\(33\!\cdots\!33\)\( T^{24} + \)\(15\!\cdots\!61\)\( T^{32} \))(\( ( 1 - 12 T - 50 T^{2} - 192 T^{3} + 16899 T^{4} - 17088 T^{5} - 396050 T^{6} - 8459628 T^{7} + 62742241 T^{8} )^{2} \))(\( ( 1 + 17 T - 23 T^{2} - 1534 T^{3} + 282 T^{4} + 47093 T^{5} - 689650 T^{6} - 2747686 T^{7} + 49542809 T^{8} - 244544054 T^{9} - 5462717650 T^{10} + 33199105117 T^{11} + 17693311962 T^{12} - 8565947194766 T^{13} - 11430569692103 T^{14} + 751932693223993 T^{15} + 3936588805702081 T^{16} )^{2} \))(\( ( 1 - 17 T - 23 T^{2} + 1534 T^{3} + 282 T^{4} - 47093 T^{5} - 689650 T^{6} + 2747686 T^{7} + 49542809 T^{8} + 244544054 T^{9} - 5462717650 T^{10} - 33199105117 T^{11} + 17693311962 T^{12} + 8565947194766 T^{13} - 11430569692103 T^{14} - 751932693223993 T^{15} + 3936588805702081 T^{16} )^{2} \))(\( ( 1 - 89 T^{2} + 7921 T^{4} )^{8} \))(\( ( 1 + 89 T^{2} + 7921 T^{4} )^{8} \))(\( 1 + 547 T^{2} + 162381 T^{4} + 32888018 T^{6} + 5034379736 T^{8} + 616342106271 T^{10} + 63663975838474 T^{12} + 5905126050734404 T^{14} + 527133471247342377 T^{16} + 46774503447867214084 T^{18} + \)\(39\!\cdots\!34\)\( T^{20} + \)\(30\!\cdots\!31\)\( T^{22} + \)\(19\!\cdots\!16\)\( T^{24} + \)\(10\!\cdots\!18\)\( T^{26} + \)\(40\!\cdots\!01\)\( T^{28} + \)\(10\!\cdots\!27\)\( T^{30} + \)\(15\!\cdots\!61\)\( T^{32} \))(\( 1 + 547 T^{2} + 162381 T^{4} + 32888018 T^{6} + 5034379736 T^{8} + 616342106271 T^{10} + 63663975838474 T^{12} + 5905126050734404 T^{14} + 527133471247342377 T^{16} + 46774503447867214084 T^{18} + \)\(39\!\cdots\!34\)\( T^{20} + \)\(30\!\cdots\!31\)\( T^{22} + \)\(19\!\cdots\!16\)\( T^{24} + \)\(10\!\cdots\!18\)\( T^{26} + \)\(40\!\cdots\!01\)\( T^{28} + \)\(10\!\cdots\!27\)\( T^{30} + \)\(15\!\cdots\!61\)\( T^{32} \))
$97$ (\( 1 - 7 T + 97 T^{2} \))(\( 1 - T + 97 T^{2} \))(\( 1 - 5 T + 97 T^{2} \))(\( 1 - 10 T + 97 T^{2} \))(\( 1 + 32 T^{2} + 9409 T^{4} \))(\( 1 + 8 T + 30 T^{2} + 776 T^{3} + 9409 T^{4} \))(\( 1 + 45 T + 963 T^{2} + 12059 T^{3} + 93411 T^{4} + 423405 T^{5} + 912673 T^{6} \))(\( 1 - 9 T + 279 T^{2} - 1699 T^{3} + 27063 T^{4} - 84681 T^{5} + 912673 T^{6} \))(\( 1 + 9 T + 279 T^{2} + 1699 T^{3} + 27063 T^{4} + 84681 T^{5} + 912673 T^{6} \))(\( 1 - 45 T + 963 T^{2} - 12059 T^{3} + 93411 T^{4} - 423405 T^{5} + 912673 T^{6} \))(\( 1 + 53 T^{2} - 3128 T^{4} + 498677 T^{6} + 88529281 T^{8} \))(\( 1 + 744 T^{2} + 260570 T^{4} + 57066864 T^{6} + 8728561161 T^{8} + 980530116880 T^{10} + 82127031963849 T^{12} + 5052088438844784 T^{14} + 217047515324349530 T^{16} + 5831050594216458984 T^{18} + 73742412689492826049 T^{20} \))(\( 1 - 81155713 T^{8} + 7837433594376961 T^{16} \))(\( ( 1 - 519 T^{2} + 117501 T^{4} - 14851811 T^{6} + 1105566909 T^{8} - 45946696839 T^{10} + 832972004929 T^{12} )^{2} \))(\( ( 1 - 544 T^{2} + 144320 T^{4} - 24213024 T^{6} + 2799254274 T^{8} - 227820342816 T^{10} + 12776545833920 T^{12} - 453136770681376 T^{14} + 7837433594376961 T^{16} )^{2} \))(\( ( 1 + 10 T + 97 T^{2} )^{2} \))(\( ( 1 - 10 T + 97 T^{2} )^{2} \))(\( ( 1 - 5 T + 97 T^{2} )^{2} \))(\( ( 1 + T + 97 T^{2} )^{2} \))(\( ( 1 - T + 97 T^{2} )^{2} \))(\( ( 1 + 5 T + 97 T^{2} )^{2} \))(\( ( 1 - 7 T + 97 T^{2} )^{2} \))(\( ( 1 + 7 T + 97 T^{2} )^{2} \))(\( ( 1 - 8 T + 30 T^{2} - 776 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 + 8 T + 30 T^{2} + 776 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 + 32 T^{2} + 9409 T^{4} )^{2} \))(\( ( 1 + 9 T + 279 T^{2} + 1699 T^{3} + 27063 T^{4} + 84681 T^{5} + 912673 T^{6} )^{2} \))(\( ( 1 + 45 T + 963 T^{2} + 12059 T^{3} + 93411 T^{4} + 423405 T^{5} + 912673 T^{6} )^{2} \))(\( ( 1 + 53 T^{2} - 3128 T^{4} + 498677 T^{6} + 88529281 T^{8} )^{2} \))(\( ( 1 + 744 T^{2} + 260570 T^{4} + 57066864 T^{6} + 8728561161 T^{8} + 980530116880 T^{10} + 82127031963849 T^{12} + 5052088438844784 T^{14} + 217047515324349530 T^{16} + 5831050594216458984 T^{18} + 73742412689492826049 T^{20} )^{2} \))(\( 1 + 7 T - 63 T^{2} + 185 T^{3} + 11276 T^{4} + 17945 T^{5} - 592767 T^{6} + 6388711 T^{7} + 88529281 T^{8} \))(\( 1 - 7 T - 63 T^{2} - 185 T^{3} + 11276 T^{4} - 17945 T^{5} - 592767 T^{6} - 6388711 T^{7} + 88529281 T^{8} \))(\( ( 1 - 97 T^{2} + 9409 T^{4} - 912673 T^{6} + 88529281 T^{8} )^{2} \))(\( 1 + 30 T + 361 T^{2} + 2160 T^{3} + 10062 T^{4} + 83370 T^{5} - 577417 T^{6} - 32754150 T^{7} - 458148745 T^{8} - 3177152550 T^{9} - 5432916553 T^{10} + 76089548010 T^{11} + 890781625422 T^{12} + 18548654955120 T^{13} + 300702893779369 T^{14} + 2423948534343390 T^{15} + 7837433594376961 T^{16} \))(\( 1 + 20 T + 123 T^{2} - 28 T^{3} + 4997 T^{4} + 239296 T^{5} + 2683386 T^{6} + 13918670 T^{7} + 12108314 T^{8} - 81926108 T^{9} + 9118270907 T^{10} + 123570735168 T^{11} + 816960697702 T^{12} - 3552108922056 T^{13} - 86512314985382 T^{14} + 43450963654390 T^{15} + 5424229096525225 T^{16} + 4214743474475830 T^{17} - 813994371697459238 T^{18} - 3241913906219615688 T^{19} + 72324943172816412262 T^{20} + \)\(10\!\cdots\!76\)\( T^{21} + \)\(75\!\cdots\!03\)\( T^{22} - \)\(66\!\cdots\!04\)\( T^{23} + \)\(94\!\cdots\!54\)\( T^{24} + \)\(10\!\cdots\!90\)\( T^{25} + \)\(19\!\cdots\!14\)\( T^{26} + \)\(17\!\cdots\!88\)\( T^{27} + \)\(34\!\cdots\!77\)\( T^{28} - \)\(18\!\cdots\!56\)\( T^{29} + \)\(80\!\cdots\!87\)\( T^{30} + \)\(12\!\cdots\!60\)\( T^{31} + \)\(61\!\cdots\!21\)\( T^{32} \))(\( 1 + 102 T^{2} + 44087 T^{4} + 1919508 T^{6} + 725235812 T^{8} - 68752950 T^{10} + 7937674077643 T^{12} - 192610552566636 T^{14} + 79334647694908075 T^{16} - 1812272689099478124 T^{18} + \)\(70\!\cdots\!83\)\( T^{20} - 57269282606283290550 T^{22} + \)\(56\!\cdots\!32\)\( T^{24} + \)\(14\!\cdots\!92\)\( T^{26} + \)\(30\!\cdots\!67\)\( T^{28} + \)\(66\!\cdots\!38\)\( T^{30} + \)\(61\!\cdots\!21\)\( T^{32} \))(\( 1 - 27 T - 92 T^{2} + 9292 T^{3} - 48206 T^{4} - 1173337 T^{5} + 7983399 T^{6} + 105810973 T^{7} + 67806665 T^{8} - 19408229151 T^{9} - 73530262625 T^{10} + 2949853309007 T^{11} + 7304880511781 T^{12} - 237183534718319 T^{13} - 1923650128578774 T^{14} + 16468128531040229 T^{15} + 372277691079498595 T^{16} - 1811910130573501412 T^{17} - 38847468857961194504 T^{18} + 97169719069643011337 T^{19} + \)\(33\!\cdots\!04\)\( T^{20} + \)\(94\!\cdots\!89\)\( T^{21} - \)\(36\!\cdots\!36\)\( T^{22} - \)\(16\!\cdots\!76\)\( T^{23} + \)\(32\!\cdots\!95\)\( T^{24} + \)\(14\!\cdots\!53\)\( T^{25} - \)\(16\!\cdots\!46\)\( T^{26} - \)\(19\!\cdots\!47\)\( T^{27} + \)\(57\!\cdots\!41\)\( T^{28} + \)\(22\!\cdots\!19\)\( T^{29} - \)\(54\!\cdots\!25\)\( T^{30} - \)\(13\!\cdots\!03\)\( T^{31} + \)\(47\!\cdots\!65\)\( T^{32} + \)\(71\!\cdots\!21\)\( T^{33} + \)\(52\!\cdots\!31\)\( T^{34} - \)\(74\!\cdots\!41\)\( T^{35} - \)\(29\!\cdots\!26\)\( T^{36} + \)\(55\!\cdots\!04\)\( T^{37} - \)\(53\!\cdots\!88\)\( T^{38} - \)\(15\!\cdots\!91\)\( T^{39} + \)\(54\!\cdots\!01\)\( T^{40} \))(\( 1 + 27 T - 92 T^{2} - 9292 T^{3} - 48206 T^{4} + 1173337 T^{5} + 7983399 T^{6} - 105810973 T^{7} + 67806665 T^{8} + 19408229151 T^{9} - 73530262625 T^{10} - 2949853309007 T^{11} + 7304880511781 T^{12} + 237183534718319 T^{13} - 1923650128578774 T^{14} - 16468128531040229 T^{15} + 372277691079498595 T^{16} + 1811910130573501412 T^{17} - 38847468857961194504 T^{18} - 97169719069643011337 T^{19} + \)\(33\!\cdots\!04\)\( T^{20} - \)\(94\!\cdots\!89\)\( T^{21} - \)\(36\!\cdots\!36\)\( T^{22} + \)\(16\!\cdots\!76\)\( T^{23} + \)\(32\!\cdots\!95\)\( T^{24} - \)\(14\!\cdots\!53\)\( T^{25} - \)\(16\!\cdots\!46\)\( T^{26} + \)\(19\!\cdots\!47\)\( T^{27} + \)\(57\!\cdots\!41\)\( T^{28} - \)\(22\!\cdots\!19\)\( T^{29} - \)\(54\!\cdots\!25\)\( T^{30} + \)\(13\!\cdots\!03\)\( T^{31} + \)\(47\!\cdots\!65\)\( T^{32} - \)\(71\!\cdots\!21\)\( T^{33} + \)\(52\!\cdots\!31\)\( T^{34} + \)\(74\!\cdots\!41\)\( T^{35} - \)\(29\!\cdots\!26\)\( T^{36} - \)\(55\!\cdots\!04\)\( T^{37} - \)\(53\!\cdots\!88\)\( T^{38} + \)\(15\!\cdots\!91\)\( T^{39} + \)\(54\!\cdots\!01\)\( T^{40} \))(\( ( 1 - 97 T^{2} )^{4} \))(\( ( 1 - 149 T^{2} + 9409 T^{4} )^{4} \))(\( ( 1 - 519 T^{2} + 117501 T^{4} - 14851811 T^{6} + 1105566909 T^{8} - 45946696839 T^{10} + 832972004929 T^{12} )^{2} \))(\( ( 1 - 81155713 T^{8} + 7837433594376961 T^{16} )^{2} \))(\( ( 1 - 7 T - 63 T^{2} - 185 T^{3} + 11276 T^{4} - 17945 T^{5} - 592767 T^{6} - 6388711 T^{7} + 88529281 T^{8} )^{2} \))(\( ( 1 + 30 T + 361 T^{2} + 2160 T^{3} + 10062 T^{4} + 83370 T^{5} - 577417 T^{6} - 32754150 T^{7} - 458148745 T^{8} - 3177152550 T^{9} - 5432916553 T^{10} + 76089548010 T^{11} + 890781625422 T^{12} + 18548654955120 T^{13} + 300702893779369 T^{14} + 2423948534343390 T^{15} + 7837433594376961 T^{16} )^{2} \))(\( ( 1 - 30 T + 361 T^{2} - 2160 T^{3} + 10062 T^{4} - 83370 T^{5} - 577417 T^{6} + 32754150 T^{7} - 458148745 T^{8} + 3177152550 T^{9} - 5432916553 T^{10} - 76089548010 T^{11} + 890781625422 T^{12} - 18548654955120 T^{13} + 300702893779369 T^{14} - 2423948534343390 T^{15} + 7837433594376961 T^{16} )^{2} \))(\( ( 1 - 97 T^{2} + 9409 T^{4} - 912673 T^{6} + 88529281 T^{8} )^{4} \))(\( ( 1 + 97 T^{2} + 9409 T^{4} + 912673 T^{6} + 88529281 T^{8} )^{4} \))(\( 1 + 378 T^{2} + 43195 T^{4} - 1829100 T^{6} - 951404880 T^{8} - 97555724586 T^{10} - 1788063513133 T^{12} + 794596480873200 T^{14} + 120216740714426075 T^{16} + 7476358288535938800 T^{18} - \)\(15\!\cdots\!73\)\( T^{20} - \)\(81\!\cdots\!94\)\( T^{22} - \)\(74\!\cdots\!80\)\( T^{24} - \)\(13\!\cdots\!00\)\( T^{26} + \)\(29\!\cdots\!95\)\( T^{28} + \)\(24\!\cdots\!82\)\( T^{30} + \)\(61\!\cdots\!21\)\( T^{32} \))(\( 1 + 378 T^{2} + 43195 T^{4} - 1829100 T^{6} - 951404880 T^{8} - 97555724586 T^{10} - 1788063513133 T^{12} + 794596480873200 T^{14} + 120216740714426075 T^{16} + 7476358288535938800 T^{18} - \)\(15\!\cdots\!73\)\( T^{20} - \)\(81\!\cdots\!94\)\( T^{22} - \)\(74\!\cdots\!80\)\( T^{24} - \)\(13\!\cdots\!00\)\( T^{26} + \)\(29\!\cdots\!95\)\( T^{28} + \)\(24\!\cdots\!82\)\( T^{30} + \)\(61\!\cdots\!21\)\( T^{32} \))
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