Properties

Label 210.2
Level 210
Weight 2
Dimension 249
Nonzero newspaces 12
Newform subspaces 32
Sturm bound 4608
Trace bound 4

Downloads

Learn more about

Defining parameters

Level: \( N \) = \( 210\( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \) \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 12 \)
Newform subspaces: \( 32 \)
Sturm bound: \(4608\)
Trace bound: \(4\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(210))\).

Total New Old
Modular forms 1344 249 1095
Cusp forms 961 249 712
Eisenstein series 383 0 383

Trace form

\( 249q + q^{2} + 9q^{3} + 9q^{4} + 21q^{5} + 17q^{6} + 33q^{7} + q^{8} + 17q^{9} + O(q^{10}) \) \( 249q + q^{2} + 9q^{3} + 9q^{4} + 21q^{5} + 17q^{6} + 33q^{7} + q^{8} + 17q^{9} + 5q^{10} + 28q^{11} - 7q^{12} + 14q^{13} - 15q^{14} - 19q^{15} + q^{16} - 6q^{17} - 39q^{18} + 20q^{19} - 7q^{20} - 27q^{21} - 4q^{22} - 7q^{24} - 7q^{25} - 10q^{26} - 63q^{27} - 23q^{28} - 66q^{29} - 31q^{30} - 16q^{31} + q^{32} - 76q^{33} - 62q^{34} - 111q^{35} - 31q^{36} - 122q^{37} - 52q^{38} - 106q^{39} - 11q^{40} - 38q^{41} - 27q^{42} - 20q^{43} - 4q^{44} - 51q^{45} - 24q^{46} - 24q^{47} - 7q^{48} + 25q^{49} + 33q^{50} - 30q^{51} - 34q^{52} + 30q^{53} - 31q^{54} - 32q^{55} + 17q^{56} + 28q^{57} - 26q^{58} - 20q^{59} + q^{60} - 66q^{61} + 32q^{62} - 55q^{63} + 9q^{64} - 46q^{65} - 36q^{66} - 172q^{67} - 6q^{68} - 56q^{69} + q^{70} - 72q^{71} + 41q^{72} - 126q^{73} + 30q^{74} - 111q^{75} - 12q^{76} - 12q^{77} + 38q^{78} - 48q^{79} + 21q^{80} + 49q^{81} + 122q^{82} + 36q^{83} + 45q^{84} + 66q^{85} + 52q^{86} + 110q^{87} + 20q^{88} + 26q^{89} + 85q^{90} + 110q^{91} + 24q^{92} + 160q^{93} + 128q^{94} + 80q^{95} + q^{96} + 74q^{97} + q^{98} + 188q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(210))\)

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
210.2.a \(\chi_{210}(1, \cdot)\) 210.2.a.a 1 1
210.2.a.b 1
210.2.a.c 1
210.2.a.d 1
210.2.a.e 1
210.2.b \(\chi_{210}(41, \cdot)\) 210.2.b.a 4 1
210.2.b.b 4
210.2.d \(\chi_{210}(209, \cdot)\) 210.2.d.a 8 1
210.2.d.b 8
210.2.g \(\chi_{210}(169, \cdot)\) 210.2.g.a 2 1
210.2.g.b 2
210.2.i \(\chi_{210}(121, \cdot)\) 210.2.i.a 2 2
210.2.i.b 2
210.2.i.c 2
210.2.i.d 2
210.2.j \(\chi_{210}(113, \cdot)\) 210.2.j.a 12 2
210.2.j.b 12
210.2.m \(\chi_{210}(13, \cdot)\) 210.2.m.a 8 2
210.2.m.b 8
210.2.n \(\chi_{210}(79, \cdot)\) 210.2.n.a 4 2
210.2.n.b 12
210.2.r \(\chi_{210}(101, \cdot)\) 210.2.r.a 12 2
210.2.r.b 12
210.2.t \(\chi_{210}(59, \cdot)\) 210.2.t.a 4 2
210.2.t.b 4
210.2.t.c 4
210.2.t.d 4
210.2.t.e 8
210.2.t.f 8
210.2.u \(\chi_{210}(73, \cdot)\) 210.2.u.a 16 4
210.2.u.b 16
210.2.x \(\chi_{210}(23, \cdot)\) 210.2.x.a 64 4

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(210))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(210)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(14))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(15))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(21))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(30))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(35))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(42))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(70))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(105))\)\(^{\oplus 2}\)

Hecke characteristic polynomials

$p$ $F_p(T)$
$2$ (\( 1 + T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( ( 1 + T^{2} )^{2} \))(\( ( 1 + T^{2} )^{2} \))(\( ( 1 + T )^{8} \))(\( ( 1 - T )^{8} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( ( 1 + T^{4} )^{3} \))(\( ( 1 + T^{4} )^{3} \))(\( ( 1 + T^{4} )^{2} \))(\( ( 1 + T^{4} )^{2} \))(\( 1 - T^{2} + T^{4} \))(\( ( 1 - T^{2} + T^{4} )^{3} \))(\( ( 1 - T^{2} + T^{4} )^{3} \))(\( ( 1 - T^{2} + T^{4} )^{3} \))(\( ( 1 + T + T^{2} )^{2} \))(\( ( 1 + T + T^{2} )^{2} \))(\( ( 1 - T + T^{2} )^{2} \))(\( ( 1 - T + T^{2} )^{2} \))(\( ( 1 + T + T^{2} )^{4} \))(\( ( 1 - T + T^{2} )^{4} \))(\( ( 1 - T^{4} + T^{8} )^{2} \))(\( ( 1 - T^{4} + T^{8} )^{2} \))
$3$ (\( 1 + T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + 2 T + 2 T^{2} + 6 T^{3} + 9 T^{4} \))(\( 1 - 2 T + 2 T^{2} - 6 T^{3} + 9 T^{4} \))(\( 1 - 10 T^{4} + 81 T^{8} \))(\( 1 - 10 T^{4} + 81 T^{8} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - 4 T + 8 T^{2} - 4 T^{3} - 7 T^{4} + 24 T^{5} - 32 T^{6} + 72 T^{7} - 63 T^{8} - 108 T^{9} + 648 T^{10} - 972 T^{11} + 729 T^{12} \))(\( 1 - 4 T + 8 T^{2} - 20 T^{3} + 57 T^{4} - 104 T^{5} + 160 T^{6} - 312 T^{7} + 513 T^{8} - 540 T^{9} + 648 T^{10} - 972 T^{11} + 729 T^{12} \))(\( ( 1 + T^{4} )^{2} \))(\( ( 1 + T^{4} )^{2} \))(\( 1 - T^{2} + T^{4} \))(\( ( 1 - T^{2} + T^{4} )^{3} \))(\( 1 + 2 T - T^{2} - 2 T^{3} - 8 T^{4} - 6 T^{5} + 33 T^{6} - 18 T^{7} - 72 T^{8} - 54 T^{9} - 81 T^{10} + 486 T^{11} + 729 T^{12} \))(\( 1 - 2 T + 2 T^{2} - 4 T^{3} + 16 T^{4} - 18 T^{5} + 6 T^{6} - 54 T^{7} + 144 T^{8} - 108 T^{9} + 162 T^{10} - 486 T^{11} + 729 T^{12} \))(\( ( 1 + T + 3 T^{2} )^{2} \))(\( 1 + T - 2 T^{2} + 3 T^{3} + 9 T^{4} \))(\( 1 - T - 2 T^{2} - 3 T^{3} + 9 T^{4} \))(\( ( 1 - T + 3 T^{2} )^{2} \))(\( 1 - 4 T^{2} + 7 T^{4} - 36 T^{6} + 81 T^{8} \))(\( 1 - 4 T^{2} + 7 T^{4} - 36 T^{6} + 81 T^{8} \))(\( ( 1 - T^{4} + T^{8} )^{2} \))(\( ( 1 - T^{4} + T^{8} )^{2} \))
$5$ (\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - T \))(\( ( 1 - T )^{4} \))(\( ( 1 + T )^{4} \))(\( 1 + 22 T^{4} + 625 T^{8} \))(\( 1 + 22 T^{4} + 625 T^{8} \))(\( 1 + 2 T + 5 T^{2} \))(\( 1 - 2 T + 5 T^{2} \))(\( 1 + T + T^{2} \))(\( 1 + T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 - T + T^{2} \))(\( 1 + 4 T - 2 T^{2} - 4 T^{3} + 89 T^{4} + 88 T^{5} - 288 T^{6} + 440 T^{7} + 2225 T^{8} - 500 T^{9} - 1250 T^{10} + 12500 T^{11} + 15625 T^{12} \))(\( 1 - 4 T - 2 T^{2} + 4 T^{3} + 89 T^{4} - 88 T^{5} - 288 T^{6} - 440 T^{7} + 2225 T^{8} + 500 T^{9} - 1250 T^{10} - 12500 T^{11} + 15625 T^{12} \))(\( 1 + 2 T^{2} - 16 T^{3} + 2 T^{4} - 80 T^{5} + 50 T^{6} + 625 T^{8} \))(\( 1 + 2 T^{2} + 16 T^{3} + 2 T^{4} + 80 T^{5} + 50 T^{6} + 625 T^{8} \))(\( 1 + 4 T + 11 T^{2} + 20 T^{3} + 25 T^{4} \))(\( ( 1 - 20 T^{3} + 125 T^{6} )^{2} \))(\( ( 1 - T + T^{2} )^{6} \))(\( ( 1 + T + T^{2} )^{6} \))(\( ( 1 + 3 T + 5 T^{2} )^{2} \))(\( 1 + 3 T + 4 T^{2} + 15 T^{3} + 25 T^{4} \))(\( ( 1 - 3 T + 5 T^{2} )^{2} \))(\( 1 - 3 T + 4 T^{2} - 15 T^{3} + 25 T^{4} \))(\( ( 1 - 6 T + 17 T^{2} - 30 T^{3} + 25 T^{4} )^{2} \))(\( ( 1 + 6 T + 17 T^{2} + 30 T^{3} + 25 T^{4} )^{2} \))(\( 1 - 12 T + 88 T^{2} - 472 T^{3} + 2033 T^{4} - 7336 T^{5} + 22744 T^{6} - 61572 T^{7} + 146544 T^{8} - 307860 T^{9} + 568600 T^{10} - 917000 T^{11} + 1270625 T^{12} - 1475000 T^{13} + 1375000 T^{14} - 937500 T^{15} + 390625 T^{16} \))(\( 1 - 12 T + 64 T^{2} - 200 T^{3} + 398 T^{4} - 380 T^{5} - 992 T^{6} + 6636 T^{7} - 19341 T^{8} + 33180 T^{9} - 24800 T^{10} - 47500 T^{11} + 248750 T^{12} - 625000 T^{13} + 1000000 T^{14} - 937500 T^{15} + 390625 T^{16} \))
$7$ (\( 1 + T \))(\( 1 - T \))(\( 1 - T \))(\( 1 - T \))(\( 1 + T \))(\( 1 - 6 T + 18 T^{2} - 42 T^{3} + 49 T^{4} \))(\( 1 - 6 T + 18 T^{2} - 42 T^{3} + 49 T^{4} \))(\( 1 + 4 T^{2} - 10 T^{4} + 196 T^{6} + 2401 T^{8} \))(\( 1 + 4 T^{2} - 10 T^{4} + 196 T^{6} + 2401 T^{8} \))(\( 1 + T^{2} \))(\( 1 + T^{2} \))(\( 1 - 4 T + 7 T^{2} \))(\( 1 + 4 T + 7 T^{2} \))(\( 1 + 4 T + 7 T^{2} \))(\( 1 - 4 T + 7 T^{2} \))(\( ( 1 + T^{4} )^{3} \))(\( ( 1 + T^{4} )^{3} \))(\( 1 - 4 T + 6 T^{2} + 28 T^{3} - 126 T^{4} + 196 T^{5} + 294 T^{6} - 1372 T^{7} + 2401 T^{8} \))(\( 1 - 8 T + 34 T^{2} - 112 T^{3} + 322 T^{4} - 784 T^{5} + 1666 T^{6} - 2744 T^{7} + 2401 T^{8} \))(\( 1 + 2 T^{2} + 49 T^{4} \))(\( 1 - 12 T^{2} + 120 T^{4} - 790 T^{6} + 5880 T^{8} - 28812 T^{10} + 117649 T^{12} \))(\( 1 - 8 T + 39 T^{2} - 152 T^{3} + 483 T^{4} - 1360 T^{5} + 3642 T^{6} - 9520 T^{7} + 23667 T^{8} - 52136 T^{9} + 93639 T^{10} - 134456 T^{11} + 117649 T^{12} \))(\( 1 - 8 T + 39 T^{2} - 152 T^{3} + 483 T^{4} - 1360 T^{5} + 3642 T^{6} - 9520 T^{7} + 23667 T^{8} - 52136 T^{9} + 93639 T^{10} - 134456 T^{11} + 117649 T^{12} \))(\( ( 1 + 5 T + 7 T^{2} )^{2} \))(\( ( 1 - 5 T + 7 T^{2} )^{2} \))(\( ( 1 + 5 T + 7 T^{2} )^{2} \))(\( ( 1 - 5 T + 7 T^{2} )^{2} \))(\( ( 1 + 6 T^{2} + 49 T^{4} )^{2} \))(\( ( 1 + 6 T^{2} + 49 T^{4} )^{2} \))(\( 1 + 8 T + 6 T^{2} - 120 T^{3} - 275 T^{4} + 1120 T^{5} + 4770 T^{6} - 3216 T^{7} - 40872 T^{8} - 22512 T^{9} + 233730 T^{10} + 384160 T^{11} - 660275 T^{12} - 2016840 T^{13} + 705894 T^{14} + 6588344 T^{15} + 5764801 T^{16} \))(\( 1 + 4 T + 34 T^{2} + 80 T^{3} + 445 T^{4} + 704 T^{5} + 3926 T^{6} + 5044 T^{7} + 29688 T^{8} + 35308 T^{9} + 192374 T^{10} + 241472 T^{11} + 1068445 T^{12} + 1344560 T^{13} + 4000066 T^{14} + 3294172 T^{15} + 5764801 T^{16} \))
$11$ (\( 1 + 4 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 - 4 T + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 4 T + 11 T^{2} \))(\( ( 1 - 2 T^{2} + 121 T^{4} )^{2} \))(\( ( 1 - 2 T^{2} + 121 T^{4} )^{2} \))(\( ( 1 - 6 T + 11 T^{2} )^{4}( 1 + 6 T + 11 T^{2} )^{4} \))(\( ( 1 - 6 T + 11 T^{2} )^{4}( 1 + 6 T + 11 T^{2} )^{4} \))(\( ( 1 + 2 T + 11 T^{2} )^{2} \))(\( ( 1 - 2 T + 11 T^{2} )^{2} \))(\( 1 - T - 10 T^{2} - 11 T^{3} + 121 T^{4} \))(\( 1 - 5 T + 14 T^{2} - 55 T^{3} + 121 T^{4} \))(\( 1 + 3 T - 2 T^{2} + 33 T^{3} + 121 T^{4} \))(\( 1 - T - 10 T^{2} - 11 T^{3} + 121 T^{4} \))(\( 1 - 56 T^{2} + 1358 T^{4} - 19128 T^{6} + 195023 T^{8} - 1950544 T^{10} + 21368868 T^{12} - 236015824 T^{14} + 2855331743 T^{16} - 33886418808 T^{18} + 291099360398 T^{20} - 1452495777656 T^{22} + 3138428376721 T^{24} \))(\( 1 - 56 T^{2} + 1358 T^{4} - 19128 T^{6} + 195023 T^{8} - 1950544 T^{10} + 21368868 T^{12} - 236015824 T^{14} + 2855331743 T^{16} - 33886418808 T^{18} + 291099360398 T^{20} - 1452495777656 T^{22} + 3138428376721 T^{24} \))(\( ( 1 - 4 T + 12 T^{2} + 4 T^{3} + 18 T^{4} + 44 T^{5} + 1452 T^{6} - 5324 T^{7} + 14641 T^{8} )^{2} \))(\( ( 1 - 4 T + 12 T^{2} + 4 T^{3} + 18 T^{4} + 44 T^{5} + 1452 T^{6} - 5324 T^{7} + 14641 T^{8} )^{2} \))(\( ( 1 - 5 T + 14 T^{2} - 55 T^{3} + 121 T^{4} )^{2} \))(\( ( 1 + 3 T + 3 T^{2} - 16 T^{3} - 81 T^{4} + 69 T^{5} + 1466 T^{6} + 759 T^{7} - 9801 T^{8} - 21296 T^{9} + 43923 T^{10} + 483153 T^{11} + 1771561 T^{12} )^{2} \))(\( 1 + 12 T + 104 T^{2} + 672 T^{3} + 3656 T^{4} + 16524 T^{5} + 63276 T^{6} + 198252 T^{7} + 468664 T^{8} + 516768 T^{9} - 2129576 T^{10} - 16995156 T^{11} - 68897930 T^{12} - 186946716 T^{13} - 257678696 T^{14} + 687818208 T^{15} + 6861709624 T^{16} + 31928682852 T^{17} + 112097293836 T^{18} + 322006013604 T^{19} + 783696068936 T^{20} + 1584540848352 T^{21} + 2697492158504 T^{22} + 3423740047332 T^{23} + 3138428376721 T^{24} \))(\( 1 - 12 T + 104 T^{2} - 672 T^{3} + 3656 T^{4} - 16524 T^{5} + 63276 T^{6} - 198252 T^{7} + 468664 T^{8} - 516768 T^{9} - 2129576 T^{10} + 16995156 T^{11} - 68897930 T^{12} + 186946716 T^{13} - 257678696 T^{14} - 687818208 T^{15} + 6861709624 T^{16} - 31928682852 T^{17} + 112097293836 T^{18} - 322006013604 T^{19} + 783696068936 T^{20} - 1584540848352 T^{21} + 2697492158504 T^{22} - 3423740047332 T^{23} + 3138428376721 T^{24} \))(\( 1 + 9 T + 53 T^{2} + 234 T^{3} + 852 T^{4} + 2574 T^{5} + 6413 T^{6} + 11979 T^{7} + 14641 T^{8} \))(\( 1 - 9 T + 53 T^{2} - 234 T^{3} + 852 T^{4} - 2574 T^{5} + 6413 T^{6} - 11979 T^{7} + 14641 T^{8} \))(\( 1 - 9 T + 53 T^{2} - 234 T^{3} + 852 T^{4} - 2574 T^{5} + 6413 T^{6} - 11979 T^{7} + 14641 T^{8} \))(\( 1 + 9 T + 53 T^{2} + 234 T^{3} + 852 T^{4} + 2574 T^{5} + 6413 T^{6} + 11979 T^{7} + 14641 T^{8} \))(\( 1 + 22 T^{2} + 241 T^{4} + 22 T^{6} - 14156 T^{8} + 2662 T^{10} + 3528481 T^{12} + 38974342 T^{14} + 214358881 T^{16} \))(\( 1 + 22 T^{2} + 241 T^{4} + 22 T^{6} - 14156 T^{8} + 2662 T^{10} + 3528481 T^{12} + 38974342 T^{14} + 214358881 T^{16} \))(\( 1 - 4 T - 42 T^{2} + 72 T^{3} + 1354 T^{4} - 52 T^{5} - 25972 T^{6} - 39092 T^{7} + 336125 T^{8} + 1014028 T^{9} - 2401652 T^{10} - 15137644 T^{11} - 1718882 T^{12} + 141984000 T^{13} + 309093362 T^{14} - 600162532 T^{15} - 4715588236 T^{16} - 6601787852 T^{17} + 37400296802 T^{18} + 188980704000 T^{19} - 25166151362 T^{20} - 2437932703844 T^{21} - 4254673018772 T^{22} + 19760537034788 T^{23} + 72051378876125 T^{24} - 92176891136572 T^{25} - 673646791737172 T^{26} - 14836206871772 T^{27} + 4249432022080234 T^{28} + 2485635274363032 T^{29} - 15949493010496122 T^{30} - 16708992677662604 T^{31} + 45949729863572161 T^{32} \))(\( 1 - 4 T - 42 T^{2} + 72 T^{3} + 1354 T^{4} - 52 T^{5} - 25972 T^{6} - 39092 T^{7} + 336125 T^{8} + 1014028 T^{9} - 2401652 T^{10} - 15137644 T^{11} - 1718882 T^{12} + 141984000 T^{13} + 309093362 T^{14} - 600162532 T^{15} - 4715588236 T^{16} - 6601787852 T^{17} + 37400296802 T^{18} + 188980704000 T^{19} - 25166151362 T^{20} - 2437932703844 T^{21} - 4254673018772 T^{22} + 19760537034788 T^{23} + 72051378876125 T^{24} - 92176891136572 T^{25} - 673646791737172 T^{26} - 14836206871772 T^{27} + 4249432022080234 T^{28} + 2485635274363032 T^{29} - 15949493010496122 T^{30} - 16708992677662604 T^{31} + 45949729863572161 T^{32} \))
$13$ (\( 1 + 2 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 - 2 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 - 40 T^{2} + 718 T^{4} - 6760 T^{6} + 28561 T^{8} \))(\( 1 - 40 T^{2} + 718 T^{4} - 6760 T^{6} + 28561 T^{8} \))(\( ( 1 + 40 T^{2} + 710 T^{4} + 6760 T^{6} + 28561 T^{8} )^{2} \))(\( ( 1 + 40 T^{2} + 710 T^{4} + 6760 T^{6} + 28561 T^{8} )^{2} \))(\( 1 - 22 T^{2} + 169 T^{4} \))(\( ( 1 - 4 T + 13 T^{2} )( 1 + 4 T + 13 T^{2} ) \))(\( ( 1 - 7 T + 13 T^{2} )^{2} \))(\( ( 1 + 5 T + 13 T^{2} )^{2} \))(\( ( 1 - 5 T + 13 T^{2} )^{2} \))(\( ( 1 - T + 13 T^{2} )^{2} \))(\( 1 - 32 T^{3} - 14 T^{4} + 272 T^{5} + 512 T^{6} - 5520 T^{7} - 4301 T^{8} + 109488 T^{9} + 220800 T^{10} + 406064 T^{11} - 6852572 T^{12} + 5278832 T^{13} + 37315200 T^{14} + 240545136 T^{15} - 122840861 T^{16} - 2049537360 T^{17} + 2471326208 T^{18} + 17067596624 T^{19} - 11420230094 T^{20} - 339343979936 T^{21} + 23298085122481 T^{24} \))(\( 1 - 32 T^{3} - 14 T^{4} + 272 T^{5} + 512 T^{6} - 5520 T^{7} - 4301 T^{8} + 109488 T^{9} + 220800 T^{10} + 406064 T^{11} - 6852572 T^{12} + 5278832 T^{13} + 37315200 T^{14} + 240545136 T^{15} - 122840861 T^{16} - 2049537360 T^{17} + 2471326208 T^{18} + 17067596624 T^{19} - 11420230094 T^{20} - 339343979936 T^{21} + 23298085122481 T^{24} \))(\( ( 1 + 8 T + 32 T^{2} + 136 T^{3} + 562 T^{4} + 1768 T^{5} + 5408 T^{6} + 17576 T^{7} + 28561 T^{8} )^{2} \))(\( ( 1 - 8 T + 32 T^{2} - 136 T^{3} + 562 T^{4} - 1768 T^{5} + 5408 T^{6} - 17576 T^{7} + 28561 T^{8} )^{2} \))(\( ( 1 - 25 T^{2} + 169 T^{4} )^{2} \))(\( ( 1 - 45 T^{2} + 1107 T^{4} - 17390 T^{6} + 187083 T^{8} - 1285245 T^{10} + 4826809 T^{12} )^{2} \))(\( 1 - 24 T^{2} + 632 T^{4} - 13172 T^{6} + 225768 T^{8} - 3379208 T^{10} + 49928150 T^{12} - 571086152 T^{14} + 6448159848 T^{16} - 63578728148 T^{18} + 515541815672 T^{20} - 3308603804376 T^{22} + 23298085122481 T^{24} \))(\( 1 - 24 T^{2} + 632 T^{4} - 13172 T^{6} + 225768 T^{8} - 3379208 T^{10} + 49928150 T^{12} - 571086152 T^{14} + 6448159848 T^{16} - 63578728148 T^{18} + 515541815672 T^{20} - 3308603804376 T^{22} + 23298085122481 T^{24} \))(\( ( 1 + 2 T + 13 T^{2} )^{4} \))(\( ( 1 - 2 T + 13 T^{2} )^{4} \))(\( ( 1 + 2 T + 13 T^{2} )^{4} \))(\( ( 1 - 2 T + 13 T^{2} )^{4} \))(\( ( 1 + 6 T^{2} - 133 T^{4} + 1014 T^{6} + 28561 T^{8} )^{2} \))(\( ( 1 + 6 T^{2} - 133 T^{4} + 1014 T^{6} + 28561 T^{8} )^{2} \))(\( 1 + 16 T + 128 T^{2} + 744 T^{3} + 3314 T^{4} + 10768 T^{5} + 24864 T^{6} + 28864 T^{7} - 4655 T^{8} + 572216 T^{9} + 6801728 T^{10} + 43610328 T^{11} + 198012786 T^{12} + 641713232 T^{13} + 1520861600 T^{14} + 2393411960 T^{15} + 3297590084 T^{16} + 31114355480 T^{17} + 257025610400 T^{18} + 1409843970704 T^{19} + 5655443180946 T^{20} + 16192209514104 T^{21} + 32830641925952 T^{22} + 35905705403672 T^{23} - 3797226506255 T^{24} + 306088269902272 T^{25} + 3427713541333536 T^{26} + 19297983122990416 T^{27} + 77209854095902034 T^{28} + 225339079304636232 T^{29} + 503984177369508992 T^{30} + 818974288225452112 T^{31} + 665416609183179841 T^{32} \))(\( 1 - 16 T + 128 T^{2} - 744 T^{3} + 3314 T^{4} - 10768 T^{5} + 24864 T^{6} - 28864 T^{7} - 4655 T^{8} - 572216 T^{9} + 6801728 T^{10} - 43610328 T^{11} + 198012786 T^{12} - 641713232 T^{13} + 1520861600 T^{14} - 2393411960 T^{15} + 3297590084 T^{16} - 31114355480 T^{17} + 257025610400 T^{18} - 1409843970704 T^{19} + 5655443180946 T^{20} - 16192209514104 T^{21} + 32830641925952 T^{22} - 35905705403672 T^{23} - 3797226506255 T^{24} - 306088269902272 T^{25} + 3427713541333536 T^{26} - 19297983122990416 T^{27} + 77209854095902034 T^{28} - 225339079304636232 T^{29} + 503984177369508992 T^{30} - 818974288225452112 T^{31} + 665416609183179841 T^{32} \))
$17$ (\( 1 + 6 T + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( 1 + 6 T + 17 T^{2} \))(\( 1 - 2 T + 17 T^{2} \))(\( ( 1 - 6 T + 38 T^{2} - 102 T^{3} + 289 T^{4} )^{2} \))(\( ( 1 + 6 T + 38 T^{2} + 102 T^{3} + 289 T^{4} )^{2} \))(\( ( 1 - 44 T^{2} + 950 T^{4} - 12716 T^{6} + 83521 T^{8} )^{2} \))(\( ( 1 - 44 T^{2} + 950 T^{4} - 12716 T^{6} + 83521 T^{8} )^{2} \))(\( ( 1 - 2 T + 17 T^{2} )( 1 + 2 T + 17 T^{2} ) \))(\( 1 - 18 T^{2} + 289 T^{4} \))(\( 1 - 4 T - T^{2} - 68 T^{3} + 289 T^{4} \))(\( 1 - 4 T - T^{2} - 68 T^{3} + 289 T^{4} \))(\( 1 - 17 T^{2} + 289 T^{4} \))(\( 1 - 17 T^{2} + 289 T^{4} \))(\( 1 - 28 T + 392 T^{2} - 3716 T^{3} + 26626 T^{4} - 151924 T^{5} + 720808 T^{6} - 3009708 T^{7} + 12126655 T^{8} - 52482936 T^{9} + 248165456 T^{10} - 1175330632 T^{11} + 5125539580 T^{12} - 19980620744 T^{13} + 71719816784 T^{14} - 257848664568 T^{15} + 1012830352255 T^{16} - 4273354971756 T^{17} + 17398552835752 T^{18} - 62340292556852 T^{19} + 185736517624066 T^{20} - 440672549062852 T^{21} + 790269608976008 T^{22} - 959613096613724 T^{23} + 582622237229761 T^{24} \))(\( 1 + 28 T + 392 T^{2} + 3716 T^{3} + 26626 T^{4} + 151924 T^{5} + 720808 T^{6} + 3009708 T^{7} + 12126655 T^{8} + 52482936 T^{9} + 248165456 T^{10} + 1175330632 T^{11} + 5125539580 T^{12} + 19980620744 T^{13} + 71719816784 T^{14} + 257848664568 T^{15} + 1012830352255 T^{16} + 4273354971756 T^{17} + 17398552835752 T^{18} + 62340292556852 T^{19} + 185736517624066 T^{20} + 440672549062852 T^{21} + 790269608976008 T^{22} + 959613096613724 T^{23} + 582622237229761 T^{24} \))(\( 1 - 12 T + 72 T^{2} - 388 T^{3} + 1696 T^{4} - 4732 T^{5} + 9944 T^{6} - 2420 T^{7} - 98754 T^{8} - 41140 T^{9} + 2873816 T^{10} - 23248316 T^{11} + 141651616 T^{12} - 550904516 T^{13} + 1737904968 T^{14} - 4924064076 T^{15} + 6975757441 T^{16} \))(\( 1 + 12 T + 72 T^{2} + 388 T^{3} + 1696 T^{4} + 4732 T^{5} + 9944 T^{6} + 2420 T^{7} - 98754 T^{8} + 41140 T^{9} + 2873816 T^{10} + 23248316 T^{11} + 141651616 T^{12} + 550904516 T^{13} + 1737904968 T^{14} + 4924064076 T^{15} + 6975757441 T^{16} \))(\( ( 1 - 8 T + 47 T^{2} - 136 T^{3} + 289 T^{4} )( 1 + 8 T + 47 T^{2} + 136 T^{3} + 289 T^{4} ) \))(\( 1 - 30 T^{2} - 27 T^{4} + 2790 T^{6} + 132426 T^{8} - 614550 T^{10} - 41149843 T^{12} - 177604950 T^{14} + 11060351946 T^{16} + 67343817510 T^{18} - 188345450907 T^{20} - 60479817013470 T^{22} + 582622237229761 T^{24} \))(\( 1 - 12 T + 10 T^{2} + 240 T^{3} + 929 T^{4} - 10248 T^{5} - 21642 T^{6} + 175188 T^{7} + 650254 T^{8} - 1893108 T^{9} - 17461318 T^{10} + 24663192 T^{11} + 233538997 T^{12} + 419274264 T^{13} - 5046320902 T^{14} - 9300839604 T^{15} + 54309864334 T^{16} + 248741908116 T^{17} - 522385268298 T^{18} - 4205150720904 T^{19} + 6480478662689 T^{20} + 28461090359280 T^{21} + 20159939004490 T^{22} - 411262755691596 T^{23} + 582622237229761 T^{24} \))(\( 1 + 12 T + 10 T^{2} - 240 T^{3} + 929 T^{4} + 10248 T^{5} - 21642 T^{6} - 175188 T^{7} + 650254 T^{8} + 1893108 T^{9} - 17461318 T^{10} - 24663192 T^{11} + 233538997 T^{12} - 419274264 T^{13} - 5046320902 T^{14} + 9300839604 T^{15} + 54309864334 T^{16} - 248741908116 T^{17} - 522385268298 T^{18} + 4205150720904 T^{19} + 6480478662689 T^{20} - 28461090359280 T^{21} + 20159939004490 T^{22} + 411262755691596 T^{23} + 582622237229761 T^{24} \))(\( 1 - 10 T^{2} - 189 T^{4} - 2890 T^{6} + 83521 T^{8} \))(\( 1 - 10 T^{2} - 189 T^{4} - 2890 T^{6} + 83521 T^{8} \))(\( 1 - 10 T^{2} - 189 T^{4} - 2890 T^{6} + 83521 T^{8} \))(\( 1 - 10 T^{2} - 189 T^{4} - 2890 T^{6} + 83521 T^{8} \))(\( ( 1 + 24 T^{2} + 287 T^{4} + 6936 T^{6} + 83521 T^{8} )^{2} \))(\( ( 1 + 24 T^{2} + 287 T^{4} + 6936 T^{6} + 83521 T^{8} )^{2} \))(\( 1 + 12 T + 144 T^{2} + 968 T^{3} + 6368 T^{4} + 26396 T^{5} + 107888 T^{6} + 145332 T^{7} - 233838 T^{8} - 8508352 T^{9} - 40945088 T^{10} - 232534236 T^{11} - 555402720 T^{12} - 1622229852 T^{13} + 5913536576 T^{14} + 33762615104 T^{15} + 261999162867 T^{16} + 573964456768 T^{17} + 1709012070464 T^{18} - 7970015262876 T^{19} - 46387790577120 T^{20} - 330165362724252 T^{21} - 988314886811072 T^{22} - 3491305869096896 T^{23} - 1631197168488558 T^{24} + 17234613267062004 T^{25} + 217501549931641712 T^{26} + 904640974936280668 T^{27} + 3710138406679118048 T^{28} + 9587631535852947016 T^{29} + 24246407024553733776 T^{30} + 34349076618117789516 T^{31} + 48661191875666868481 T^{32} \))(\( 1 - 12 T + 760 T^{3} - 4000 T^{4} - 9644 T^{5} + 164912 T^{6} - 417780 T^{7} - 2033646 T^{8} + 15406336 T^{9} - 21694928 T^{10} - 141136884 T^{11} + 768607008 T^{12} - 1405601268 T^{13} - 1667112976 T^{14} + 24205669888 T^{15} - 123458993805 T^{16} + 411496388096 T^{17} - 481795650064 T^{18} - 6905719029684 T^{19} + 64194825915168 T^{20} - 200394192705588 T^{21} - 523662821550032 T^{22} + 6321815470032128 T^{23} - 14186221216859886 T^{24} - 49543643042916660 T^{25} + 332461586110845488 T^{26} - 330518167990812652 T^{27} - 2330488948919044000 T^{28} + 7527479305008512120 T^{29} - 34349076618117789516 T^{31} + 48661191875666868481 T^{32} \))
$19$ (\( 1 + 19 T^{2} \))(\( 1 - 8 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 + 4 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 - 4 T^{2} - 554 T^{4} - 1444 T^{6} + 130321 T^{8} \))(\( 1 - 4 T^{2} - 554 T^{4} - 1444 T^{6} + 130321 T^{8} \))(\( ( 1 - 24 T^{2} + 838 T^{4} - 8664 T^{6} + 130321 T^{8} )^{2} \))(\( ( 1 - 24 T^{2} + 838 T^{4} - 8664 T^{6} + 130321 T^{8} )^{2} \))(\( ( 1 - 2 T + 19 T^{2} )^{2} \))(\( ( 1 - 6 T + 19 T^{2} )^{2} \))(\( ( 1 - 7 T + 19 T^{2} )( 1 + 8 T + 19 T^{2} ) \))(\( ( 1 - 8 T + 19 T^{2} )( 1 + T + 19 T^{2} ) \))(\( 1 + 5 T + 6 T^{2} + 95 T^{3} + 361 T^{4} \))(\( 1 - 3 T - 10 T^{2} - 57 T^{3} + 361 T^{4} \))(\( 1 - 104 T^{2} + 6018 T^{4} - 249384 T^{6} + 7954675 T^{8} - 203686352 T^{10} + 4270353988 T^{12} - 73530773072 T^{14} + 1036661200675 T^{16} - 11732489987304 T^{18} + 102207082380738 T^{20} - 637630890811304 T^{22} + 2213314919066161 T^{24} \))(\( 1 - 104 T^{2} + 6018 T^{4} - 249384 T^{6} + 7954675 T^{8} - 203686352 T^{10} + 4270353988 T^{12} - 73530773072 T^{14} + 1036661200675 T^{16} - 11732489987304 T^{18} + 102207082380738 T^{20} - 637630890811304 T^{22} + 2213314919066161 T^{24} \))(\( ( 1 + 4 T + 62 T^{2} + 212 T^{3} + 1666 T^{4} + 4028 T^{5} + 22382 T^{6} + 27436 T^{7} + 130321 T^{8} )^{2} \))(\( ( 1 - 4 T + 62 T^{2} - 212 T^{3} + 1666 T^{4} - 4028 T^{5} + 22382 T^{6} - 27436 T^{7} + 130321 T^{8} )^{2} \))(\( ( 1 - 8 T + 19 T^{2} )^{2}( 1 + T + 19 T^{2} )^{2} \))(\( ( 1 - 3 T - 36 T^{2} + 45 T^{3} + 900 T^{4} - 3 T^{5} - 19906 T^{6} - 57 T^{7} + 324900 T^{8} + 308655 T^{9} - 4691556 T^{10} - 7428297 T^{11} + 47045881 T^{12} )^{2} \))(\( 1 + 24 T^{2} - 316 T^{4} + 144 T^{5} - 5636 T^{6} - 33888 T^{7} + 181380 T^{8} - 941760 T^{9} + 1187824 T^{10} + 9129072 T^{11} - 54892570 T^{12} + 173452368 T^{13} + 428804464 T^{14} - 6459531840 T^{15} + 23637622980 T^{16} - 83910042912 T^{17} - 265150585316 T^{18} + 128717530416 T^{19} - 5366805920956 T^{20} + 147145590187224 T^{22} + 2213314919066161 T^{24} \))(\( 1 + 24 T^{2} - 316 T^{4} + 144 T^{5} - 5636 T^{6} - 33888 T^{7} + 181380 T^{8} - 941760 T^{9} + 1187824 T^{10} + 9129072 T^{11} - 54892570 T^{12} + 173452368 T^{13} + 428804464 T^{14} - 6459531840 T^{15} + 23637622980 T^{16} - 83910042912 T^{17} - 265150585316 T^{18} + 128717530416 T^{19} - 5366805920956 T^{20} + 147145590187224 T^{22} + 2213314919066161 T^{24} \))(\( ( 1 - T + 19 T^{2} )^{2}( 1 + 7 T + 19 T^{2} )^{2} \))(\( ( 1 - T + 19 T^{2} )^{2}( 1 + 7 T + 19 T^{2} )^{2} \))(\( ( 1 - T + 19 T^{2} )^{2}( 1 + 7 T + 19 T^{2} )^{2} \))(\( ( 1 - T + 19 T^{2} )^{2}( 1 + 7 T + 19 T^{2} )^{2} \))(\( ( 1 - 6 T + 43 T^{2} - 186 T^{3} + 828 T^{4} - 3534 T^{5} + 15523 T^{6} - 41154 T^{7} + 130321 T^{8} )^{2} \))(\( ( 1 - 6 T + 43 T^{2} - 186 T^{3} + 828 T^{4} - 3534 T^{5} + 15523 T^{6} - 41154 T^{7} + 130321 T^{8} )^{2} \))(\( 1 + 8 T - 22 T^{2} + 144 T^{3} + 3371 T^{4} - 4000 T^{5} - 7722 T^{6} + 652040 T^{7} - 370487 T^{8} - 2996624 T^{9} + 89400308 T^{10} - 59920656 T^{11} - 371517522 T^{12} + 10373644960 T^{13} - 8723924296 T^{14} - 39539357168 T^{15} + 977996314130 T^{16} - 751247786192 T^{17} - 3149336670856 T^{18} + 71152830780640 T^{19} - 48416534984562 T^{20} - 148369476400944 T^{21} + 4205916251531348 T^{22} - 2678597506009136 T^{23} - 6292189320370967 T^{24} + 210405286459819160 T^{25} - 47344093642739322 T^{26} - 465961035592876000 T^{27} + 7461084592172028731 T^{28} + 6055629618565016496 T^{29} - 17578147087223450662 T^{30} + \)\(12\!\cdots\!92\)\( T^{31} + \)\(28\!\cdots\!81\)\( T^{32} \))(\( 1 - 8 T - 22 T^{2} - 144 T^{3} + 3371 T^{4} + 4000 T^{5} - 7722 T^{6} - 652040 T^{7} - 370487 T^{8} + 2996624 T^{9} + 89400308 T^{10} + 59920656 T^{11} - 371517522 T^{12} - 10373644960 T^{13} - 8723924296 T^{14} + 39539357168 T^{15} + 977996314130 T^{16} + 751247786192 T^{17} - 3149336670856 T^{18} - 71152830780640 T^{19} - 48416534984562 T^{20} + 148369476400944 T^{21} + 4205916251531348 T^{22} + 2678597506009136 T^{23} - 6292189320370967 T^{24} - 210405286459819160 T^{25} - 47344093642739322 T^{26} + 465961035592876000 T^{27} + 7461084592172028731 T^{28} - 6055629618565016496 T^{29} - 17578147087223450662 T^{30} - \)\(12\!\cdots\!92\)\( T^{31} + \)\(28\!\cdots\!81\)\( T^{32} \))
$23$ (\( 1 + 8 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 8 T + 23 T^{2} \))(\( 1 + 23 T^{2} \))(\( 1 + 8 T + 23 T^{2} \))(\( ( 1 - 30 T^{2} + 529 T^{4} )^{2} \))(\( ( 1 - 30 T^{2} + 529 T^{4} )^{2} \))(\( ( 1 - 4 T + 22 T^{2} - 92 T^{3} + 529 T^{4} )^{4} \))(\( ( 1 + 4 T + 22 T^{2} + 92 T^{3} + 529 T^{4} )^{4} \))(\( ( 1 - 23 T^{2} )^{2} \))(\( 1 + 18 T^{2} + 529 T^{4} \))(\( 1 + T - 22 T^{2} + 23 T^{3} + 529 T^{4} \))(\( 1 + T - 22 T^{2} + 23 T^{3} + 529 T^{4} \))(\( 1 - 9 T + 58 T^{2} - 207 T^{3} + 529 T^{4} \))(\( 1 + 7 T + 26 T^{2} + 161 T^{3} + 529 T^{4} \))(\( 1 + 24 T + 288 T^{2} + 2648 T^{3} + 22078 T^{4} + 163240 T^{5} + 1065248 T^{6} + 6483944 T^{7} + 37525599 T^{8} + 203370768 T^{9} + 1048113088 T^{10} + 5277774096 T^{11} + 25830292740 T^{12} + 121388804208 T^{13} + 554451823552 T^{14} + 2474412134256 T^{15} + 10501201149759 T^{16} + 41732887576792 T^{17} + 157694934685472 T^{18} + 555803705968280 T^{19} + 1728949933033918 T^{20} + 4769452247554024 T^{21} + 11930835229530912 T^{22} + 22867434189934248 T^{23} + 21914624432020321 T^{24} \))(\( 1 - 24 T + 288 T^{2} - 2648 T^{3} + 22078 T^{4} - 163240 T^{5} + 1065248 T^{6} - 6483944 T^{7} + 37525599 T^{8} - 203370768 T^{9} + 1048113088 T^{10} - 5277774096 T^{11} + 25830292740 T^{12} - 121388804208 T^{13} + 554451823552 T^{14} - 2474412134256 T^{15} + 10501201149759 T^{16} - 41732887576792 T^{17} + 157694934685472 T^{18} - 555803705968280 T^{19} + 1728949933033918 T^{20} - 4769452247554024 T^{21} + 11930835229530912 T^{22} - 22867434189934248 T^{23} + 21914624432020321 T^{24} \))(\( 1 - 16 T + 128 T^{2} - 656 T^{3} + 3300 T^{4} - 21520 T^{5} + 137088 T^{6} - 691344 T^{7} + 3238918 T^{8} - 15900912 T^{9} + 72519552 T^{10} - 261833840 T^{11} + 923475300 T^{12} - 4222241008 T^{13} + 18948593792 T^{14} - 54477207152 T^{15} + 78310985281 T^{16} \))(\( 1 - 16 T + 128 T^{2} - 656 T^{3} + 3300 T^{4} - 21520 T^{5} + 137088 T^{6} - 691344 T^{7} + 3238918 T^{8} - 15900912 T^{9} + 72519552 T^{10} - 261833840 T^{11} + 923475300 T^{12} - 4222241008 T^{13} + 18948593792 T^{14} - 54477207152 T^{15} + 78310985281 T^{16} \))(\( 1 + 37 T^{2} + 840 T^{4} + 19573 T^{6} + 279841 T^{8} \))(\( 1 + 81 T^{2} + 3582 T^{4} + 90087 T^{6} + 1174464 T^{8} - 7396947 T^{10} - 518277076 T^{12} - 3912984963 T^{14} + 328663180224 T^{16} + 13336109132343 T^{18} + 280509949276542 T^{20} + 3355547408305569 T^{22} + 21914624432020321 T^{24} \))(\( 1 + 24 T + 367 T^{2} + 4200 T^{3} + 39535 T^{4} + 321816 T^{5} + 2347952 T^{6} + 15699792 T^{7} + 97859137 T^{8} + 573159912 T^{9} + 3169289665 T^{10} + 16552915872 T^{11} + 81697151198 T^{12} + 380717065056 T^{13} + 1676554232785 T^{14} + 6973636649304 T^{15} + 27384998757217 T^{16} + 101049246340656 T^{17} + 347581161649328 T^{18} + 1095727306051752 T^{19} + 3096024803084335 T^{20} + 7564841178144600 T^{21} + 15203529615409183 T^{22} + 22867434189934248 T^{23} + 21914624432020321 T^{24} \))(\( 1 - 24 T + 367 T^{2} - 4200 T^{3} + 39535 T^{4} - 321816 T^{5} + 2347952 T^{6} - 15699792 T^{7} + 97859137 T^{8} - 573159912 T^{9} + 3169289665 T^{10} - 16552915872 T^{11} + 81697151198 T^{12} - 380717065056 T^{13} + 1676554232785 T^{14} - 6973636649304 T^{15} + 27384998757217 T^{16} - 101049246340656 T^{17} + 347581161649328 T^{18} - 1095727306051752 T^{19} + 3096024803084335 T^{20} - 7564841178144600 T^{21} + 15203529615409183 T^{22} - 22867434189934248 T^{23} + 21914624432020321 T^{24} \))(\( 1 + 3 T - 31 T^{2} - 18 T^{3} + 864 T^{4} - 414 T^{5} - 16399 T^{6} + 36501 T^{7} + 279841 T^{8} \))(\( 1 + 3 T - 31 T^{2} - 18 T^{3} + 864 T^{4} - 414 T^{5} - 16399 T^{6} + 36501 T^{7} + 279841 T^{8} \))(\( 1 - 3 T - 31 T^{2} + 18 T^{3} + 864 T^{4} + 414 T^{5} - 16399 T^{6} - 36501 T^{7} + 279841 T^{8} \))(\( 1 - 3 T - 31 T^{2} + 18 T^{3} + 864 T^{4} + 414 T^{5} - 16399 T^{6} - 36501 T^{7} + 279841 T^{8} \))(\( ( 1 - 2 T - 13 T^{2} + 58 T^{3} - 332 T^{4} + 1334 T^{5} - 6877 T^{6} - 24334 T^{7} + 279841 T^{8} )^{2} \))(\( ( 1 + 2 T - 13 T^{2} - 58 T^{3} - 332 T^{4} - 1334 T^{5} - 6877 T^{6} + 24334 T^{7} + 279841 T^{8} )^{2} \))(\( 1 - 32 T + 536 T^{2} - 6152 T^{3} + 54743 T^{4} - 405160 T^{5} + 2601288 T^{6} - 14731984 T^{7} + 73350129 T^{8} - 313225808 T^{9} + 1063218752 T^{10} - 1942762160 T^{11} - 9374200334 T^{12} + 140082082224 T^{13} - 1076056625056 T^{14} + 6480812802528 T^{15} - 33308810016754 T^{16} + 149058694458144 T^{17} - 569233954654624 T^{18} + 1704378694419408 T^{19} - 2623285595666894 T^{20} - 12504283629180880 T^{21} + 157394533153790528 T^{22} - 1066479201735536176 T^{23} + 5744120872478451249 T^{24} - 26534552190230332592 T^{25} + \)\(10\!\cdots\!12\)\( T^{26} - \)\(38\!\cdots\!20\)\( T^{27} + \)\(11\!\cdots\!03\)\( T^{28} - \)\(31\!\cdots\!16\)\( T^{29} + \)\(62\!\cdots\!24\)\( T^{30} - \)\(85\!\cdots\!24\)\( T^{31} + \)\(61\!\cdots\!61\)\( T^{32} \))(\( 1 + 40 T + 776 T^{2} + 9784 T^{3} + 91799 T^{4} + 705368 T^{5} + 4787160 T^{6} + 29946728 T^{7} + 172895985 T^{8} + 902021104 T^{9} + 4178360768 T^{10} + 17091640336 T^{11} + 61289409778 T^{12} + 182133009408 T^{13} + 342869112800 T^{14} - 372347426016 T^{15} - 5577275049586 T^{16} - 8563990798368 T^{17} + 181377760671200 T^{18} + 2216012325467136 T^{19} + 17151289721685298 T^{20} + 110007659635131248 T^{21} + 618547350853602752 T^{22} + 3071224408630233488 T^{23} + 13539654936478996785 T^{24} + 53938628839308543064 T^{25} + \)\(19\!\cdots\!40\)\( T^{26} + \)\(67\!\cdots\!36\)\( T^{27} + \)\(20\!\cdots\!79\)\( T^{28} + \)\(49\!\cdots\!72\)\( T^{29} + \)\(89\!\cdots\!84\)\( T^{30} + \)\(10\!\cdots\!80\)\( T^{31} + \)\(61\!\cdots\!61\)\( T^{32} \))
$29$ (\( 1 - 10 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 - 6 T + 29 T^{2} \))(\( 1 + 6 T + 29 T^{2} \))(\( 1 + 2 T + 29 T^{2} \))(\( 1 - 24 T^{2} + 1646 T^{4} - 20184 T^{6} + 707281 T^{8} \))(\( 1 - 24 T^{2} + 1646 T^{4} - 20184 T^{6} + 707281 T^{8} \))(\( ( 1 - 52 T^{2} + 1350 T^{4} - 43732 T^{6} + 707281 T^{8} )^{2} \))(\( ( 1 - 52 T^{2} + 1350 T^{4} - 43732 T^{6} + 707281 T^{8} )^{2} \))(\( ( 1 - 6 T + 29 T^{2} )^{2} \))(\( ( 1 + 6 T + 29 T^{2} )^{2} \))(\( ( 1 + 8 T + 29 T^{2} )^{2} \))(\( ( 1 + 29 T^{2} )^{2} \))(\( ( 1 + 29 T^{2} )^{2} \))(\( ( 1 + 8 T + 29 T^{2} )^{2} \))(\( ( 1 - 4 T + 114 T^{2} - 548 T^{3} + 6631 T^{4} - 29256 T^{5} + 241692 T^{6} - 848424 T^{7} + 5576671 T^{8} - 13365172 T^{9} + 80630034 T^{10} - 82044596 T^{11} + 594823321 T^{12} )^{2} \))(\( ( 1 + 4 T + 114 T^{2} + 548 T^{3} + 6631 T^{4} + 29256 T^{5} + 241692 T^{6} + 848424 T^{7} + 5576671 T^{8} + 13365172 T^{9} + 80630034 T^{10} + 82044596 T^{11} + 594823321 T^{12} )^{2} \))(\( 1 - 4 T^{2} + 200 T^{4} - 5548 T^{6} + 1325934 T^{8} - 4665868 T^{10} + 141456200 T^{12} - 2379293284 T^{14} + 500246412961 T^{16} \))(\( 1 - 4 T^{2} + 200 T^{4} - 5548 T^{6} + 1325934 T^{8} - 4665868 T^{10} + 141456200 T^{12} - 2379293284 T^{14} + 500246412961 T^{16} \))(\( ( 1 + 29 T^{2} )^{4} \))(\( ( 1 + 12 T + 120 T^{2} + 720 T^{3} + 3480 T^{4} + 10092 T^{5} + 24389 T^{6} )^{4} \))(\( 1 - 158 T^{2} + 12415 T^{4} - 625726 T^{6} + 22774147 T^{8} - 673287380 T^{10} + 19008498890 T^{12} - 566234686580 T^{14} + 16107721464307 T^{16} - 372196417356046 T^{18} + 6210559216910815 T^{20} - 66471742861431758 T^{22} + 353814783205469041 T^{24} \))(\( 1 - 158 T^{2} + 12415 T^{4} - 625726 T^{6} + 22774147 T^{8} - 673287380 T^{10} + 19008498890 T^{12} - 566234686580 T^{14} + 16107721464307 T^{16} - 372196417356046 T^{18} + 6210559216910815 T^{20} - 66471742861431758 T^{22} + 353814783205469041 T^{24} \))(\( ( 1 - 47 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 - 47 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 - 47 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 - 47 T^{2} + 841 T^{4} )^{2} \))(\( ( 1 - 64 T^{2} + 2226 T^{4} - 53824 T^{6} + 707281 T^{8} )^{2} \))(\( ( 1 - 64 T^{2} + 2226 T^{4} - 53824 T^{6} + 707281 T^{8} )^{2} \))(\( 1 - 248 T^{2} + 31418 T^{4} - 2677416 T^{6} + 171374865 T^{8} - 8752284864 T^{10} + 370628380738 T^{12} - 13351487849248 T^{14} + 415501762604420 T^{16} - 11228601281217568 T^{18} + 262138411756753378 T^{20} - 5206063149142513344 T^{22} + 85729661487925625265 T^{24} - \)\(11\!\cdots\!16\)\( T^{26} + \)\(11\!\cdots\!38\)\( T^{28} - \)\(73\!\cdots\!88\)\( T^{30} + \)\(25\!\cdots\!21\)\( T^{32} \))(\( 1 - 248 T^{2} + 31418 T^{4} - 2677416 T^{6} + 171374865 T^{8} - 8752284864 T^{10} + 370628380738 T^{12} - 13351487849248 T^{14} + 415501762604420 T^{16} - 11228601281217568 T^{18} + 262138411756753378 T^{20} - 5206063149142513344 T^{22} + 85729661487925625265 T^{24} - \)\(11\!\cdots\!16\)\( T^{26} + \)\(11\!\cdots\!38\)\( T^{28} - \)\(73\!\cdots\!88\)\( T^{30} + \)\(25\!\cdots\!21\)\( T^{32} \))
$31$ (\( 1 + 8 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 + 8 T + 31 T^{2} \))(\( 1 + 4 T + 31 T^{2} \))(\( 1 + 31 T^{2} \))(\( 1 - 64 T^{2} + 2446 T^{4} - 61504 T^{6} + 923521 T^{8} \))(\( 1 - 64 T^{2} + 2446 T^{4} - 61504 T^{6} + 923521 T^{8} \))(\( ( 1 - 84 T^{2} + 3574 T^{4} - 80724 T^{6} + 923521 T^{8} )^{2} \))(\( ( 1 - 84 T^{2} + 3574 T^{4} - 80724 T^{6} + 923521 T^{8} )^{2} \))(\( ( 1 - 6 T + 31 T^{2} )^{2} \))(\( ( 1 + 2 T + 31 T^{2} )^{2} \))(\( 1 + 6 T + 5 T^{2} + 186 T^{3} + 961 T^{4} \))(\( 1 - 2 T - 27 T^{2} - 62 T^{3} + 961 T^{4} \))(\( 1 - 10 T + 69 T^{2} - 310 T^{3} + 961 T^{4} \))(\( 1 - 2 T - 27 T^{2} - 62 T^{3} + 961 T^{4} \))(\( ( 1 + 4 T + 28 T^{2} + 76 T^{3} + 807 T^{4} + 1288 T^{5} + 32184 T^{6} + 39928 T^{7} + 775527 T^{8} + 2264116 T^{9} + 25858588 T^{10} + 114516604 T^{11} + 887503681 T^{12} )^{2} \))(\( ( 1 + 4 T + 28 T^{2} + 76 T^{3} + 807 T^{4} + 1288 T^{5} + 32184 T^{6} + 39928 T^{7} + 775527 T^{8} + 2264116 T^{9} + 25858588 T^{10} + 114516604 T^{11} + 887503681 T^{12} )^{2} \))(\( 1 - 148 T^{2} + 11192 T^{4} - 565212 T^{6} + 20507310 T^{8} - 543168732 T^{10} + 10336047032 T^{12} - 131350544788 T^{14} + 852891037441 T^{16} \))(\( 1 - 148 T^{2} + 11192 T^{4} - 565212 T^{6} + 20507310 T^{8} - 543168732 T^{10} + 10336047032 T^{12} - 131350544788 T^{14} + 852891037441 T^{16} \))(\( ( 1 - 6 T + 5 T^{2} - 186 T^{3} + 961 T^{4} )^{2} \))(\( ( 1 - 78 T^{2} - 20 T^{3} + 3666 T^{4} + 780 T^{5} - 128922 T^{6} + 24180 T^{7} + 3523026 T^{8} - 595820 T^{9} - 72034638 T^{10} + 887503681 T^{12} )^{2} \))(\( 1 - 12 T + 162 T^{2} - 1368 T^{3} + 10769 T^{4} - 77664 T^{5} + 554878 T^{6} - 3968772 T^{7} + 27631230 T^{8} - 178188132 T^{9} + 1059815698 T^{10} - 6109630032 T^{11} + 33269854325 T^{12} - 189398530992 T^{13} + 1018482885778 T^{14} - 5308402640412 T^{15} + 25518021160830 T^{16} - 113622572872572 T^{17} + 492456267505918 T^{18} - 2136739662316704 T^{19} + 9184783582202129 T^{20} - 36169403115797928 T^{21} + 132779782490889762 T^{22} - 304901722756857972 T^{23} + 787662783788549761 T^{24} \))(\( 1 - 12 T + 162 T^{2} - 1368 T^{3} + 10769 T^{4} - 77664 T^{5} + 554878 T^{6} - 3968772 T^{7} + 27631230 T^{8} - 178188132 T^{9} + 1059815698 T^{10} - 6109630032 T^{11} + 33269854325 T^{12} - 189398530992 T^{13} + 1018482885778 T^{14} - 5308402640412 T^{15} + 25518021160830 T^{16} - 113622572872572 T^{17} + 492456267505918 T^{18} - 2136739662316704 T^{19} + 9184783582202129 T^{20} - 36169403115797928 T^{21} + 132779782490889762 T^{22} - 304901722756857972 T^{23} + 787662783788549761 T^{24} \))(\( 1 - 9 T + 71 T^{2} - 396 T^{3} + 1812 T^{4} - 12276 T^{5} + 68231 T^{6} - 268119 T^{7} + 923521 T^{8} \))(\( 1 - 9 T + 71 T^{2} - 396 T^{3} + 1812 T^{4} - 12276 T^{5} + 68231 T^{6} - 268119 T^{7} + 923521 T^{8} \))(\( 1 - 9 T + 71 T^{2} - 396 T^{3} + 1812 T^{4} - 12276 T^{5} + 68231 T^{6} - 268119 T^{7} + 923521 T^{8} \))(\( 1 - 9 T + 71 T^{2} - 396 T^{3} + 1812 T^{4} - 12276 T^{5} + 68231 T^{6} - 268119 T^{7} + 923521 T^{8} \))(\( ( 1 + 12 T + 112 T^{2} + 768 T^{3} + 4623 T^{4} + 23808 T^{5} + 107632 T^{6} + 357492 T^{7} + 923521 T^{8} )^{2} \))(\( ( 1 + 12 T + 112 T^{2} + 768 T^{3} + 4623 T^{4} + 23808 T^{5} + 107632 T^{6} + 357492 T^{7} + 923521 T^{8} )^{2} \))(\( 1 + 24 T + 334 T^{2} + 3408 T^{3} + 27899 T^{4} + 199680 T^{5} + 1273586 T^{6} + 7589688 T^{7} + 43727785 T^{8} + 250780944 T^{9} + 1474786764 T^{10} + 8526426768 T^{11} + 48339918958 T^{12} + 259935770400 T^{13} + 1349761682520 T^{14} + 7075762017840 T^{15} + 37942723845666 T^{16} + 219348622553040 T^{17} + 1297120976901720 T^{18} + 7743746535986400 T^{19} + 44642930296011118 T^{20} + 244104359431513968 T^{21} + 1308878681740078284 T^{22} + 6899639338664300784 T^{23} + 37295035913646998185 T^{24} + \)\(20\!\cdots\!48\)\( T^{25} + \)\(10\!\cdots\!86\)\( T^{26} + \)\(50\!\cdots\!80\)\( T^{27} + \)\(21\!\cdots\!39\)\( T^{28} + \)\(83\!\cdots\!28\)\( T^{29} + \)\(25\!\cdots\!14\)\( T^{30} + \)\(56\!\cdots\!24\)\( T^{31} + \)\(72\!\cdots\!81\)\( T^{32} \))(\( 1 + 24 T + 334 T^{2} + 3408 T^{3} + 27899 T^{4} + 199680 T^{5} + 1273586 T^{6} + 7589688 T^{7} + 43727785 T^{8} + 250780944 T^{9} + 1474786764 T^{10} + 8526426768 T^{11} + 48339918958 T^{12} + 259935770400 T^{13} + 1349761682520 T^{14} + 7075762017840 T^{15} + 37942723845666 T^{16} + 219348622553040 T^{17} + 1297120976901720 T^{18} + 7743746535986400 T^{19} + 44642930296011118 T^{20} + 244104359431513968 T^{21} + 1308878681740078284 T^{22} + 6899639338664300784 T^{23} + 37295035913646998185 T^{24} + \)\(20\!\cdots\!48\)\( T^{25} + \)\(10\!\cdots\!86\)\( T^{26} + \)\(50\!\cdots\!80\)\( T^{27} + \)\(21\!\cdots\!39\)\( T^{28} + \)\(83\!\cdots\!28\)\( T^{29} + \)\(25\!\cdots\!14\)\( T^{30} + \)\(56\!\cdots\!24\)\( T^{31} + \)\(72\!\cdots\!81\)\( T^{32} \))
$37$ (\( 1 - 2 T + 37 T^{2} \))(\( 1 + 10 T + 37 T^{2} \))(\( 1 + 2 T + 37 T^{2} \))(\( 1 - 2 T + 37 T^{2} \))(\( 1 - 6 T + 37 T^{2} \))(\( ( 1 - 6 T + 78 T^{2} - 222 T^{3} + 1369 T^{4} )^{2} \))(\( ( 1 - 6 T + 78 T^{2} - 222 T^{3} + 1369 T^{4} )^{2} \))(\( ( 1 - 20 T^{2} + 38 T^{4} - 27380 T^{6} + 1874161 T^{8} )^{2} \))(\( ( 1 - 20 T^{2} + 38 T^{4} - 27380 T^{6} + 1874161 T^{8} )^{2} \))(\( 1 - 10 T^{2} + 1369 T^{4} \))(\( 1 - 58 T^{2} + 1369 T^{4} \))(\( 1 - 3 T - 28 T^{2} - 111 T^{3} + 1369 T^{4} \))(\( ( 1 - 10 T + 37 T^{2} )( 1 + 11 T + 37 T^{2} ) \))(\( ( 1 - 11 T + 37 T^{2} )( 1 + 10 T + 37 T^{2} ) \))(\( ( 1 + T + 37 T^{2} )( 1 + 10 T + 37 T^{2} ) \))(\( 1 + 20 T + 200 T^{2} + 1052 T^{3} + 3634 T^{4} + 30620 T^{5} + 438952 T^{6} + 3655156 T^{7} + 16552975 T^{8} + 43779560 T^{9} + 283860944 T^{10} + 4234271992 T^{11} + 34611552220 T^{12} + 156668063704 T^{13} + 388605632336 T^{14} + 2217566052680 T^{15} + 31022940178975 T^{16} + 253462980492292 T^{17} + 1126230738683368 T^{18} + 2906814077812460 T^{19} + 12764350335548914 T^{20} + 136719750264421004 T^{21} + 961716874483569800 T^{22} + 3558352435589208260 T^{23} + 6582952005840035281 T^{24} \))(\( 1 + 20 T + 200 T^{2} + 1052 T^{3} + 3634 T^{4} + 30620 T^{5} + 438952 T^{6} + 3655156 T^{7} + 16552975 T^{8} + 43779560 T^{9} + 283860944 T^{10} + 4234271992 T^{11} + 34611552220 T^{12} + 156668063704 T^{13} + 388605632336 T^{14} + 2217566052680 T^{15} + 31022940178975 T^{16} + 253462980492292 T^{17} + 1126230738683368 T^{18} + 2906814077812460 T^{19} + 12764350335548914 T^{20} + 136719750264421004 T^{21} + 961716874483569800 T^{22} + 3558352435589208260 T^{23} + 6582952005840035281 T^{24} \))(\( 1 + 28 T + 392 T^{2} + 4180 T^{3} + 38912 T^{4} + 311708 T^{5} + 2210520 T^{6} + 14742164 T^{7} + 92944158 T^{8} + 545460068 T^{9} + 3026201880 T^{10} + 15788945324 T^{11} + 72927352832 T^{12} + 289857740260 T^{13} + 1005764752328 T^{14} + 2658092559724 T^{15} + 3512479453921 T^{16} \))(\( 1 + 28 T + 392 T^{2} + 4180 T^{3} + 38912 T^{4} + 311708 T^{5} + 2210520 T^{6} + 14742164 T^{7} + 92944158 T^{8} + 545460068 T^{9} + 3026201880 T^{10} + 15788945324 T^{11} + 72927352832 T^{12} + 289857740260 T^{13} + 1005764752328 T^{14} + 2658092559724 T^{15} + 3512479453921 T^{16} \))(\( 1 + 49 T^{2} + 1032 T^{4} + 67081 T^{6} + 1874161 T^{8} \))(\( 1 + 165 T^{2} + 14838 T^{4} + 911635 T^{6} + 43071816 T^{8} + 1725566145 T^{10} + 64531645932 T^{12} + 2362300052505 T^{14} + 80723517746376 T^{16} + 2339005994868715 T^{18} + 52118170137279798 T^{20} + 793416421448945085 T^{22} + 6582952005840035281 T^{24} \))(\( 1 + 8 T - 104 T^{2} - 832 T^{3} + 6788 T^{4} + 46312 T^{5} - 326044 T^{6} - 1583912 T^{7} + 13285604 T^{8} + 33469952 T^{9} - 514631840 T^{10} - 373683016 T^{11} + 19047573830 T^{12} - 13826271592 T^{13} - 704530988960 T^{14} + 1695353478656 T^{15} + 24899360878244 T^{16} - 109834725619784 T^{17} - 836539701295996 T^{18} + 4396485093783496 T^{19} + 23842710533215748 T^{20} - 108128167509504064 T^{21} - 500092774731456296 T^{22} + 1423340974235683304 T^{23} + 6582952005840035281 T^{24} \))(\( 1 + 8 T - 104 T^{2} - 832 T^{3} + 6788 T^{4} + 46312 T^{5} - 326044 T^{6} - 1583912 T^{7} + 13285604 T^{8} + 33469952 T^{9} - 514631840 T^{10} - 373683016 T^{11} + 19047573830 T^{12} - 13826271592 T^{13} - 704530988960 T^{14} + 1695353478656 T^{15} + 24899360878244 T^{16} - 109834725619784 T^{17} - 836539701295996 T^{18} + 4396485093783496 T^{19} + 23842710533215748 T^{20} - 108128167509504064 T^{21} - 500092774731456296 T^{22} + 1423340974235683304 T^{23} + 6582952005840035281 T^{24} \))(\( 1 + 6 T - 10 T^{2} - 132 T^{3} - 441 T^{4} - 4884 T^{5} - 13690 T^{6} + 303918 T^{7} + 1874161 T^{8} \))(\( 1 - 6 T - 10 T^{2} + 132 T^{3} - 441 T^{4} + 4884 T^{5} - 13690 T^{6} - 303918 T^{7} + 1874161 T^{8} \))(\( 1 + 6 T - 10 T^{2} - 132 T^{3} - 441 T^{4} - 4884 T^{5} - 13690 T^{6} + 303918 T^{7} + 1874161 T^{8} \))(\( 1 - 6 T - 10 T^{2} + 132 T^{3} - 441 T^{4} + 4884 T^{5} - 13690 T^{6} - 303918 T^{7} + 1874161 T^{8} \))(\( 1 + 90 T^{2} + 3817 T^{4} + 139050 T^{6} + 5381028 T^{8} + 190359450 T^{10} + 7153672537 T^{12} + 230915376810 T^{14} + 3512479453921 T^{16} \))(\( 1 + 90 T^{2} + 3817 T^{4} + 139050 T^{6} + 5381028 T^{8} + 190359450 T^{10} + 7153672537 T^{12} + 230915376810 T^{14} + 3512479453921 T^{16} \))(\( 1 + 8 T - 184 T^{2} - 1704 T^{3} + 16375 T^{4} + 186288 T^{5} - 883880 T^{6} - 13446752 T^{7} + 28690305 T^{8} + 694378184 T^{9} - 355698912 T^{10} - 26449712536 T^{11} - 17643340702 T^{12} + 717223895656 T^{13} + 1384593306720 T^{14} - 9602300166392 T^{15} - 59171912839138 T^{16} - 355285106156504 T^{17} + 1895508236899680 T^{18} + 36329541986663368 T^{19} - 33066461053401022 T^{20} - 1834127728758744952 T^{21} - 912626092170967008 T^{22} + 65918624447323666472 T^{23} + \)\(10\!\cdots\!05\)\( T^{24} - \)\(17\!\cdots\!04\)\( T^{25} - \)\(42\!\cdots\!20\)\( T^{26} + \)\(33\!\cdots\!44\)\( T^{27} + \)\(10\!\cdots\!75\)\( T^{28} - \)\(41\!\cdots\!88\)\( T^{29} - \)\(16\!\cdots\!76\)\( T^{30} + \)\(26\!\cdots\!44\)\( T^{31} + \)\(12\!\cdots\!41\)\( T^{32} \))(\( 1 + 8 T + 248 T^{2} + 1752 T^{3} + 30199 T^{4} + 206976 T^{5} + 2540200 T^{6} + 17745904 T^{7} + 169033089 T^{8} + 1209867128 T^{9} + 9485737632 T^{10} + 68571970520 T^{11} + 465855584354 T^{12} + 3322795052152 T^{13} + 20345020109280 T^{14} + 139940970795928 T^{15} + 794780046531614 T^{16} + 5177815919449336 T^{17} + 27852332529604320 T^{18} + 168309537776655256 T^{19} + 873088367828476994 T^{20} + 4755051775144147640 T^{21} + 24337807551267523488 T^{22} + \)\(11\!\cdots\!24\)\( T^{23} + \)\(59\!\cdots\!69\)\( T^{24} + \)\(23\!\cdots\!08\)\( T^{25} + \)\(12\!\cdots\!00\)\( T^{26} + \)\(36\!\cdots\!88\)\( T^{27} + \)\(19\!\cdots\!19\)\( T^{28} + \)\(42\!\cdots\!44\)\( T^{29} + \)\(22\!\cdots\!72\)\( T^{30} + \)\(26\!\cdots\!44\)\( T^{31} + \)\(12\!\cdots\!41\)\( T^{32} \))
$41$ (\( 1 + 2 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( 1 - 2 T + 41 T^{2} \))(\( 1 - 6 T + 41 T^{2} \))(\( 1 + 6 T + 41 T^{2} \))(\( ( 1 - 4 T + 66 T^{2} - 164 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 + 4 T + 66 T^{2} + 164 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 + 84 T^{2} + 4678 T^{4} + 141204 T^{6} + 2825761 T^{8} )^{2} \))(\( ( 1 + 84 T^{2} + 4678 T^{4} + 141204 T^{6} + 2825761 T^{8} )^{2} \))(\( ( 1 - 6 T + 41 T^{2} )^{2} \))(\( ( 1 - 2 T + 41 T^{2} )^{2} \))(\( ( 1 - 9 T + 41 T^{2} )^{2} \))(\( ( 1 - 5 T + 41 T^{2} )^{2} \))(\( ( 1 - 9 T + 41 T^{2} )^{2} \))(\( ( 1 + 11 T + 41 T^{2} )^{2} \))(\( 1 - 212 T^{2} + 22434 T^{4} - 1643716 T^{6} + 97594575 T^{8} - 5014736296 T^{10} + 222514140252 T^{12} - 8429771713576 T^{14} + 275778943846575 T^{16} - 7807822342599556 T^{18} + 179133812590100514 T^{20} - 2845603773752309012 T^{22} + 22563490300366186081 T^{24} \))(\( 1 - 212 T^{2} + 22434 T^{4} - 1643716 T^{6} + 97594575 T^{8} - 5014736296 T^{10} + 222514140252 T^{12} - 8429771713576 T^{14} + 275778943846575 T^{16} - 7807822342599556 T^{18} + 179133812590100514 T^{20} - 2845603773752309012 T^{22} + 22563490300366186081 T^{24} \))(\( 1 - 176 T^{2} + 13468 T^{4} - 643920 T^{6} + 26131718 T^{8} - 1082429520 T^{10} + 38057349148 T^{12} - 836018346416 T^{14} + 7984925229121 T^{16} \))(\( 1 - 176 T^{2} + 13468 T^{4} - 643920 T^{6} + 26131718 T^{8} - 1082429520 T^{10} + 38057349148 T^{12} - 836018346416 T^{14} + 7984925229121 T^{16} \))(\( ( 1 + 9 T + 41 T^{2} )^{4} \))(\( ( 1 + 9 T + 75 T^{2} + 610 T^{3} + 3075 T^{4} + 15129 T^{5} + 68921 T^{6} )^{4} \))(\( ( 1 + 2 T + 101 T^{2} + 150 T^{3} + 6062 T^{4} + 7442 T^{5} + 295913 T^{6} + 305122 T^{7} + 10190222 T^{8} + 10338150 T^{9} + 285401861 T^{10} + 231712402 T^{11} + 4750104241 T^{12} )^{2} \))(\( ( 1 - 2 T + 101 T^{2} - 150 T^{3} + 6062 T^{4} - 7442 T^{5} + 295913 T^{6} - 305122 T^{7} + 10190222 T^{8} - 10338150 T^{9} + 285401861 T^{10} - 231712402 T^{11} + 4750104241 T^{12} )^{2} \))(\( ( 1 + 9 T + 94 T^{2} + 369 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 - 9 T + 94 T^{2} - 369 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 - 9 T + 94 T^{2} - 369 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 + 9 T + 94 T^{2} + 369 T^{3} + 1681 T^{4} )^{2} \))(\( ( 1 + 118 T^{2} + 6363 T^{4} + 198358 T^{6} + 2825761 T^{8} )^{2} \))(\( ( 1 + 118 T^{2} + 6363 T^{4} + 198358 T^{6} + 2825761 T^{8} )^{2} \))(\( 1 - 172 T^{2} + 13974 T^{4} - 791464 T^{6} + 43993793 T^{8} - 2592908552 T^{10} + 134337801798 T^{12} - 5711936189732 T^{14} + 227906401150852 T^{16} - 9601764734939492 T^{18} + 379606521146518278 T^{20} - 12316585909380369032 T^{22} + \)\(35\!\cdots\!53\)\( T^{24} - \)\(10\!\cdots\!64\)\( T^{26} + \)\(31\!\cdots\!94\)\( T^{28} - \)\(65\!\cdots\!92\)\( T^{30} + \)\(63\!\cdots\!41\)\( T^{32} \))(\( 1 - 172 T^{2} + 13974 T^{4} - 791464 T^{6} + 43993793 T^{8} - 2592908552 T^{10} + 134337801798 T^{12} - 5711936189732 T^{14} + 227906401150852 T^{16} - 9601764734939492 T^{18} + 379606521146518278 T^{20} - 12316585909380369032 T^{22} + \)\(35\!\cdots\!53\)\( T^{24} - \)\(10\!\cdots\!64\)\( T^{26} + \)\(31\!\cdots\!94\)\( T^{28} - \)\(65\!\cdots\!92\)\( T^{30} + \)\(63\!\cdots\!41\)\( T^{32} \))
$43$ (\( 1 - 8 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 + 12 T + 43 T^{2} \))(\( 1 - 8 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( ( 1 - 8 T + 22 T^{2} - 344 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 - 8 T + 22 T^{2} - 344 T^{3} + 1849 T^{4} )^{2} \))(\( ( 1 - 44 T^{2} + 2390 T^{4} - 81356 T^{6} + 3418801 T^{8} )^{2} \))(\( ( 1 - 44 T^{2} + 2390 T^{4} - 81356 T^{6} + 3418801 T^{8} )^{2} \))(\( 1 - 22 T^{2} + 1849 T^{4} \))(\( 1 - 70 T^{2} + 1849 T^{4} \))(\( ( 1 + 4 T + 43 T^{2} )^{2} \))(\( ( 1 - 12 T + 43 T^{2} )^{2} \))(\( ( 1 - 8 T + 43 T^{2} )^{2} \))(\( ( 1 - 8 T + 43 T^{2} )^{2} \))(\( 1 - 8 T + 32 T^{2} - 184 T^{3} + 5014 T^{4} - 25096 T^{5} + 57248 T^{6} + 105352 T^{7} + 1869663 T^{8} + 20409392 T^{9} - 214625984 T^{10} + 2505871696 T^{11} - 14493786700 T^{12} + 107752482928 T^{13} - 396843444416 T^{14} + 1622689529744 T^{15} + 6392005734063 T^{16} + 15487633486936 T^{17} + 361885391829152 T^{18} - 6821559864341272 T^{19} + 58604636191891414 T^{20} - 92477040596379112 T^{21} + 691567434025095968 T^{22} - 7434349915769781656 T^{23} + 39959630797262576401 T^{24} \))(\( 1 - 8 T + 32 T^{2} - 184 T^{3} + 5014 T^{4} - 25096 T^{5} + 57248 T^{6} + 105352 T^{7} + 1869663 T^{8} + 20409392 T^{9} - 214625984 T^{10} + 2505871696 T^{11} - 14493786700 T^{12} + 107752482928 T^{13} - 396843444416 T^{14} + 1622689529744 T^{15} + 6392005734063 T^{16} + 15487633486936 T^{17} + 361885391829152 T^{18} - 6821559864341272 T^{19} + 58604636191891414 T^{20} - 92477040596379112 T^{21} + 691567434025095968 T^{22} - 7434349915769781656 T^{23} + 39959630797262576401 T^{24} \))(\( 1 - 32 T^{3} - 6588 T^{4} - 1632 T^{5} + 512 T^{6} + 117440 T^{7} + 17663206 T^{8} + 5049920 T^{9} + 946688 T^{10} - 129755424 T^{11} - 22523060988 T^{12} - 4704270176 T^{13} + 11688200277601 T^{16} \))(\( 1 - 32 T^{3} - 6588 T^{4} - 1632 T^{5} + 512 T^{6} + 117440 T^{7} + 17663206 T^{8} + 5049920 T^{9} + 946688 T^{10} - 129755424 T^{11} - 22523060988 T^{12} - 4704270176 T^{13} + 11688200277601 T^{16} \))(\( ( 1 + 14 T^{2} + 1849 T^{4} )^{2} \))(\( ( 1 - 82 T^{2} + 1849 T^{4} )^{6} \))(\( ( 1 + 131 T^{2} - 196 T^{3} + 7479 T^{4} - 24892 T^{5} + 314798 T^{6} - 1070356 T^{7} + 13828671 T^{8} - 15583372 T^{9} + 447862931 T^{10} + 6321363049 T^{12} )^{2} \))(\( ( 1 + 131 T^{2} - 196 T^{3} + 7479 T^{4} - 24892 T^{5} + 314798 T^{6} - 1070356 T^{7} + 13828671 T^{8} - 15583372 T^{9} + 447862931 T^{10} + 6321363049 T^{12} )^{2} \))(\( 1 - 49 T^{2} + 660 T^{4} - 90601 T^{6} + 3418801 T^{8} \))(\( 1 - 49 T^{2} + 660 T^{4} - 90601 T^{6} + 3418801 T^{8} \))(\( 1 - 49 T^{2} + 660 T^{4} - 90601 T^{6} + 3418801 T^{8} \))(\( 1 - 49 T^{2} + 660 T^{4} - 90601 T^{6} + 3418801 T^{8} \))(\( ( 1 - 120 T^{2} + 6818 T^{4} - 221880 T^{6} + 3418801 T^{8} )^{2} \))(\( ( 1 - 120 T^{2} + 6818 T^{4} - 221880 T^{6} + 3418801 T^{8} )^{2} \))(\( 1 + 24 T + 288 T^{2} + 2456 T^{3} + 18144 T^{4} + 133752 T^{5} + 1000544 T^{6} + 6828856 T^{7} + 39963644 T^{8} + 227672888 T^{9} + 1517218592 T^{10} + 11117129912 T^{11} + 81274307360 T^{12} + 589957036568 T^{13} + 4310182316384 T^{14} + 31623166948824 T^{15} + 218467749390534 T^{16} + 1359796178799432 T^{17} + 7969527102994016 T^{18} + 46905714106411976 T^{19} + 277860683276675360 T^{20} + 1634311958991847016 T^{21} + 9590889544724607008 T^{22} + 61885728202879567016 T^{23} + \)\(46\!\cdots\!44\)\( T^{24} + \)\(34\!\cdots\!08\)\( T^{25} + \)\(21\!\cdots\!56\)\( T^{26} + \)\(12\!\cdots\!64\)\( T^{27} + \)\(72\!\cdots\!44\)\( T^{28} + \)\(42\!\cdots\!08\)\( T^{29} + \)\(21\!\cdots\!12\)\( T^{30} + \)\(76\!\cdots\!68\)\( T^{31} + \)\(13\!\cdots\!01\)\( T^{32} \))(\( 1 + 24 T + 288 T^{2} + 2456 T^{3} + 18144 T^{4} + 133752 T^{5} + 1000544 T^{6} + 6828856 T^{7} + 39963644 T^{8} + 227672888 T^{9} + 1517218592 T^{10} + 11117129912 T^{11} + 81274307360 T^{12} + 589957036568 T^{13} + 4310182316384 T^{14} + 31623166948824 T^{15} + 218467749390534 T^{16} + 1359796178799432 T^{17} + 7969527102994016 T^{18} + 46905714106411976 T^{19} + 277860683276675360 T^{20} + 1634311958991847016 T^{21} + 9590889544724607008 T^{22} + 61885728202879567016 T^{23} + \)\(46\!\cdots\!44\)\( T^{24} + \)\(34\!\cdots\!08\)\( T^{25} + \)\(21\!\cdots\!56\)\( T^{26} + \)\(12\!\cdots\!64\)\( T^{27} + \)\(72\!\cdots\!44\)\( T^{28} + \)\(42\!\cdots\!08\)\( T^{29} + \)\(21\!\cdots\!12\)\( T^{30} + \)\(76\!\cdots\!68\)\( T^{31} + \)\(13\!\cdots\!01\)\( T^{32} \))
$47$ (\( 1 - 4 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( 1 + 8 T + 47 T^{2} \))(\( 1 + 12 T + 47 T^{2} \))(\( 1 + 47 T^{2} \))(\( ( 1 + 4 T + 78 T^{2} + 188 T^{3} + 2209 T^{4} )^{2} \))(\( ( 1 - 4 T + 78 T^{2} - 188 T^{3} + 2209 T^{4} )^{2} \))(\( ( 1 - 108 T^{2} + 6886 T^{4} - 238572 T^{6} + 4879681 T^{8} )^{2} \))(\( ( 1 - 108 T^{2} + 6886 T^{4} - 238572 T^{6} + 4879681 T^{8} )^{2} \))(\( 1 - 78 T^{2} + 2209 T^{4} \))(\( 1 - 30 T^{2} + 2209 T^{4} \))(\( 1 - 3 T - 38 T^{2} - 141 T^{3} + 2209 T^{4} \))(\( 1 - 11 T + 74 T^{2} - 517 T^{3} + 2209 T^{4} \))(\( 1 + 3 T - 38 T^{2} + 141 T^{3} + 2209 T^{4} \))(\( 1 - 5 T - 22 T^{2} - 235 T^{3} + 2209 T^{4} \))(\( 1 - 16 T + 128 T^{2} - 48 T^{3} - 3930 T^{4} - 2832 T^{5} + 549504 T^{6} - 4835248 T^{7} + 9727055 T^{8} + 102211168 T^{9} - 484788992 T^{10} - 7463204576 T^{11} + 87433873108 T^{12} - 350770615072 T^{13} - 1070898883328 T^{14} + 10611870095264 T^{15} + 47464925469455 T^{16} - 1108939986406736 T^{17} + 5923221940146816 T^{18} - 1434756677151216 T^{19} - 93578356580720730 T^{20} - 53718262708932816 T^{21} + 6732688926186246272 T^{22} - 39554547441344196848 T^{23} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 + 16 T + 128 T^{2} + 48 T^{3} - 3930 T^{4} + 2832 T^{5} + 549504 T^{6} + 4835248 T^{7} + 9727055 T^{8} - 102211168 T^{9} - 484788992 T^{10} + 7463204576 T^{11} + 87433873108 T^{12} + 350770615072 T^{13} - 1070898883328 T^{14} - 10611870095264 T^{15} + 47464925469455 T^{16} + 1108939986406736 T^{17} + 5923221940146816 T^{18} + 1434756677151216 T^{19} - 93578356580720730 T^{20} + 53718262708932816 T^{21} + 6732688926186246272 T^{22} + 39554547441344196848 T^{23} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 - 24 T + 288 T^{2} - 2728 T^{3} + 26308 T^{4} - 243208 T^{5} + 1981280 T^{6} - 14819768 T^{7} + 104930310 T^{8} - 696529096 T^{9} + 4376647520 T^{10} - 25250584184 T^{11} + 128374647748 T^{12} - 625653179096 T^{13} + 3104414014752 T^{14} - 12158954891112 T^{15} + 23811286661761 T^{16} \))(\( 1 + 24 T + 288 T^{2} + 2728 T^{3} + 26308 T^{4} + 243208 T^{5} + 1981280 T^{6} + 14819768 T^{7} + 104930310 T^{8} + 696529096 T^{9} + 4376647520 T^{10} + 25250584184 T^{11} + 128374647748 T^{12} + 625653179096 T^{13} + 3104414014752 T^{14} + 12158954891112 T^{15} + 23811286661761 T^{16} \))(\( 1 - 75 T^{2} + 3416 T^{4} - 165675 T^{6} + 4879681 T^{8} \))(\( 1 + 9 T^{2} - 1578 T^{4} - 306297 T^{6} - 2357976 T^{8} + 244410597 T^{10} + 40880244764 T^{12} + 539903008773 T^{14} - 11506170685656 T^{16} - 3301641317626713 T^{18} - 37574210352258858 T^{20} + 473392190122470441 T^{22} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 - 16 T + 32 T^{2} + 544 T^{3} + 428 T^{4} - 39000 T^{5} + 312596 T^{6} - 2377608 T^{7} + 2268284 T^{8} + 67449856 T^{9} + 407948184 T^{10} - 5931851872 T^{11} + 27380961750 T^{12} - 278797037984 T^{13} + 901157538456 T^{14} + 7002846399488 T^{15} + 11068502337404 T^{16} - 545292523403256 T^{17} + 3369539594984084 T^{18} - 19758301698057000 T^{19} + 10191230691233708 T^{20} + 608806977367905248 T^{21} + 1683172231546561568 T^{22} - 39554547441344196848 T^{23} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 + 16 T + 32 T^{2} - 544 T^{3} + 428 T^{4} + 39000 T^{5} + 312596 T^{6} + 2377608 T^{7} + 2268284 T^{8} - 67449856 T^{9} + 407948184 T^{10} + 5931851872 T^{11} + 27380961750 T^{12} + 278797037984 T^{13} + 901157538456 T^{14} - 7002846399488 T^{15} + 11068502337404 T^{16} + 545292523403256 T^{17} + 3369539594984084 T^{18} + 19758301698057000 T^{19} + 10191230691233708 T^{20} - 608806977367905248 T^{21} + 1683172231546561568 T^{22} + 39554547441344196848 T^{23} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 + 18 T + 218 T^{2} + 1980 T^{3} + 14967 T^{4} + 93060 T^{5} + 481562 T^{6} + 1868814 T^{7} + 4879681 T^{8} \))(\( 1 + 18 T + 218 T^{2} + 1980 T^{3} + 14967 T^{4} + 93060 T^{5} + 481562 T^{6} + 1868814 T^{7} + 4879681 T^{8} \))(\( 1 - 18 T + 218 T^{2} - 1980 T^{3} + 14967 T^{4} - 93060 T^{5} + 481562 T^{6} - 1868814 T^{7} + 4879681 T^{8} \))(\( 1 - 18 T + 218 T^{2} - 1980 T^{3} + 14967 T^{4} - 93060 T^{5} + 481562 T^{6} - 1868814 T^{7} + 4879681 T^{8} \))(\( ( 1 + 6 T + 19 T^{2} + 42 T^{3} - 1596 T^{4} + 1974 T^{5} + 41971 T^{6} + 622938 T^{7} + 4879681 T^{8} )^{2} \))(\( ( 1 - 6 T + 19 T^{2} - 42 T^{3} - 1596 T^{4} - 1974 T^{5} + 41971 T^{6} - 622938 T^{7} + 4879681 T^{8} )^{2} \))(\( 1 + 24 T + 216 T^{2} - 40 T^{3} - 18457 T^{4} - 150040 T^{5} + 44552 T^{6} + 9386184 T^{7} + 61817361 T^{8} - 96146848 T^{9} - 3977203520 T^{10} - 21778214496 T^{11} + 50868959058 T^{12} + 1343760123600 T^{13} + 6047140835168 T^{14} - 23428375060624 T^{15} - 394415861681970 T^{16} - 1101133627849328 T^{17} + 13358134104886112 T^{18} + 139513207312522800 T^{19} + 248224293005100498 T^{20} - 4994724756032621472 T^{21} - 42871133149336758080 T^{22} - 48710216156441750624 T^{23} + \)\(14\!\cdots\!21\)\( T^{24} + \)\(10\!\cdots\!28\)\( T^{25} + \)\(23\!\cdots\!48\)\( T^{26} - \)\(37\!\cdots\!20\)\( T^{27} - \)\(21\!\cdots\!37\)\( T^{28} - \)\(21\!\cdots\!80\)\( T^{29} + \)\(55\!\cdots\!04\)\( T^{30} + \)\(28\!\cdots\!32\)\( T^{31} + \)\(56\!\cdots\!21\)\( T^{32} \))(\( 1 + 72 T^{2} + 616 T^{3} + 3239 T^{4} + 50872 T^{5} + 298520 T^{6} + 2523744 T^{7} + 15099153 T^{8} + 113209408 T^{9} + 814540096 T^{10} + 3210267840 T^{11} + 24971489874 T^{12} + 159883078560 T^{13} + 379015320032 T^{14} + 3041257505584 T^{15} + 39450787699278 T^{16} + 142939102762448 T^{17} + 837244841950688 T^{18} + 16599540865334880 T^{19} + 121852904679850194 T^{20} + 736258900236674880 T^{21} + 8780103088888331584 T^{22} + 57354503546728915904 T^{23} + \)\(35\!\cdots\!33\)\( T^{24} + \)\(28\!\cdots\!48\)\( T^{25} + \)\(15\!\cdots\!80\)\( T^{26} + \)\(12\!\cdots\!16\)\( T^{27} + \)\(37\!\cdots\!99\)\( T^{28} + \)\(33\!\cdots\!32\)\( T^{29} + \)\(18\!\cdots\!68\)\( T^{30} + \)\(56\!\cdots\!21\)\( T^{32} \))
$53$ (\( 1 - 10 T + 53 T^{2} \))(\( 1 + 6 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 - 6 T + 53 T^{2} \))(\( 1 + 10 T + 53 T^{2} \))(\( 1 - 140 T^{2} + 9238 T^{4} - 393260 T^{6} + 7890481 T^{8} \))(\( 1 - 140 T^{2} + 9238 T^{4} - 393260 T^{6} + 7890481 T^{8} \))(\( ( 1 - 4 T - 2 T^{2} - 212 T^{3} + 2809 T^{4} )^{4} \))(\( ( 1 + 4 T - 2 T^{2} + 212 T^{3} + 2809 T^{4} )^{4} \))(\( 1 - 102 T^{2} + 2809 T^{4} \))(\( 1 - 70 T^{2} + 2809 T^{4} \))(\( 1 - T - 52 T^{2} - 53 T^{3} + 2809 T^{4} \))(\( 1 - 9 T + 28 T^{2} - 477 T^{3} + 2809 T^{4} \))(\( 1 - 3 T - 44 T^{2} - 159 T^{3} + 2809 T^{4} \))(\( 1 - 11 T + 68 T^{2} - 583 T^{3} + 2809 T^{4} \))(\( 1 + 24 T + 288 T^{2} + 2968 T^{3} + 27318 T^{4} + 189144 T^{5} + 1076384 T^{6} + 4855704 T^{7} - 9792929 T^{8} - 439179408 T^{9} - 4825144512 T^{10} - 45292675216 T^{11} - 372958615948 T^{12} - 2400511786448 T^{13} - 13553830934208 T^{14} - 65383712724816 T^{15} - 77270920208849 T^{16} + 2030633528142072 T^{17} + 23857363689477536 T^{18} + 222189563833329528 T^{19} + 1700810222657559798 T^{20} + 9793698340468730744 T^{21} + 50367591465267758112 T^{22} + \)\(22\!\cdots\!28\)\( T^{23} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 - 24 T + 288 T^{2} - 2968 T^{3} + 27318 T^{4} - 189144 T^{5} + 1076384 T^{6} - 4855704 T^{7} - 9792929 T^{8} + 439179408 T^{9} - 4825144512 T^{10} + 45292675216 T^{11} - 372958615948 T^{12} + 2400511786448 T^{13} - 13553830934208 T^{14} + 65383712724816 T^{15} - 77270920208849 T^{16} - 2030633528142072 T^{17} + 23857363689477536 T^{18} - 222189563833329528 T^{19} + 1700810222657559798 T^{20} - 9793698340468730744 T^{21} + 50367591465267758112 T^{22} - \)\(22\!\cdots\!28\)\( T^{23} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 + 8 T + 32 T^{2} + 264 T^{3} + 5828 T^{4} + 46136 T^{5} + 217440 T^{6} + 2204664 T^{7} + 21970150 T^{8} + 116847192 T^{9} + 610788960 T^{10} + 6868589272 T^{11} + 45985723268 T^{12} + 110403610152 T^{13} + 709259556128 T^{14} + 9397689118696 T^{15} + 62259690411361 T^{16} \))(\( 1 + 8 T + 32 T^{2} + 264 T^{3} + 5828 T^{4} + 46136 T^{5} + 217440 T^{6} + 2204664 T^{7} + 21970150 T^{8} + 116847192 T^{9} + 610788960 T^{10} + 6868589272 T^{11} + 45985723268 T^{12} + 110403610152 T^{13} + 709259556128 T^{14} + 9397689118696 T^{15} + 62259690411361 T^{16} \))(\( 1 + 105 T^{2} + 8216 T^{4} + 294945 T^{6} + 7890481 T^{8} \))(\( 1 + 51 T^{2} - 6213 T^{4} - 119588 T^{6} + 38415969 T^{8} + 385077393 T^{10} - 113446795386 T^{12} + 1081682396937 T^{14} + 303120473491089 T^{16} - 2650591618694852 T^{18} - 386819456525785893 T^{20} + 8919260988641165499 T^{22} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 + 48 T + 1272 T^{2} + 24192 T^{3} + 372104 T^{4} + 4941024 T^{5} + 58639988 T^{6} + 632702016 T^{7} + 6267491832 T^{8} + 57492176256 T^{9} + 491936676296 T^{10} + 3943130126256 T^{11} + 29642342340470 T^{12} + 208985896691568 T^{13} + 1381850123715464 T^{14} + 8559262724464512 T^{15} + 49453525218051192 T^{16} + 264593131503213888 T^{17} + 1299717870632226452 T^{18} + 5804275935001973088 T^{19} + 23167079840829073544 T^{20} + 79827880812877201536 T^{21} + \)\(22\!\cdots\!28\)\( T^{22} + \)\(44\!\cdots\!56\)\( T^{23} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 - 48 T + 1272 T^{2} - 24192 T^{3} + 372104 T^{4} - 4941024 T^{5} + 58639988 T^{6} - 632702016 T^{7} + 6267491832 T^{8} - 57492176256 T^{9} + 491936676296 T^{10} - 3943130126256 T^{11} + 29642342340470 T^{12} - 208985896691568 T^{13} + 1381850123715464 T^{14} - 8559262724464512 T^{15} + 49453525218051192 T^{16} - 264593131503213888 T^{17} + 1299717870632226452 T^{18} - 5804275935001973088 T^{19} + 23167079840829073544 T^{20} - 79827880812877201536 T^{21} + \)\(22\!\cdots\!28\)\( T^{22} - \)\(44\!\cdots\!56\)\( T^{23} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 - 3 T - 91 T^{2} + 18 T^{3} + 6714 T^{4} + 954 T^{5} - 255619 T^{6} - 446631 T^{7} + 7890481 T^{8} \))(\( 1 - 3 T - 91 T^{2} + 18 T^{3} + 6714 T^{4} + 954 T^{5} - 255619 T^{6} - 446631 T^{7} + 7890481 T^{8} \))(\( 1 + 3 T - 91 T^{2} - 18 T^{3} + 6714 T^{4} - 954 T^{5} - 255619 T^{6} + 446631 T^{7} + 7890481 T^{8} \))(\( 1 + 3 T - 91 T^{2} - 18 T^{3} + 6714 T^{4} - 954 T^{5} - 255619 T^{6} + 446631 T^{7} + 7890481 T^{8} \))(\( ( 1 + 5 T - 28 T^{2} + 265 T^{3} + 2809 T^{4} )^{4} \))(\( ( 1 - 5 T - 28 T^{2} - 265 T^{3} + 2809 T^{4} )^{4} \))(\( 1 - 44 T + 1016 T^{2} - 15712 T^{3} + 178130 T^{4} - 1540980 T^{5} + 10390336 T^{6} - 58117132 T^{7} + 357423825 T^{8} - 3614994372 T^{9} + 45716027504 T^{10} - 505985826004 T^{11} + 4503741642258 T^{12} - 32039845594664 T^{13} + 184020453561240 T^{14} - 916952178658276 T^{15} + 5330817007952772 T^{16} - 48598465468888628 T^{17} + 516913454053523160 T^{18} - 4769996092596792328 T^{19} + 35536687857145546098 T^{20} - \)\(21\!\cdots\!72\)\( T^{21} + \)\(10\!\cdots\!16\)\( T^{22} - \)\(42\!\cdots\!64\)\( T^{23} + \)\(22\!\cdots\!25\)\( T^{24} - \)\(19\!\cdots\!56\)\( T^{25} + \)\(18\!\cdots\!64\)\( T^{26} - \)\(14\!\cdots\!60\)\( T^{27} + \)\(87\!\cdots\!30\)\( T^{28} - \)\(40\!\cdots\!76\)\( T^{29} + \)\(14\!\cdots\!04\)\( T^{30} - \)\(32\!\cdots\!08\)\( T^{31} + \)\(38\!\cdots\!21\)\( T^{32} \))(\( 1 + 28 T + 344 T^{2} + 2912 T^{3} + 25298 T^{4} + 232644 T^{5} + 1917568 T^{6} + 14158268 T^{7} + 104375121 T^{8} + 770687892 T^{9} + 5270701040 T^{10} + 39047642852 T^{11} + 318443399442 T^{12} + 2209044273928 T^{13} + 14320519756920 T^{14} + 111315852463604 T^{15} + 873920983850628 T^{16} + 5899740180571012 T^{17} + 40226339997188280 T^{18} + 328875884369578856 T^{19} + 2512671592872511602 T^{20} + 16329548252980066036 T^{21} + \)\(11\!\cdots\!60\)\( T^{22} + \)\(90\!\cdots\!04\)\( T^{23} + \)\(64\!\cdots\!81\)\( T^{24} + \)\(46\!\cdots\!44\)\( T^{25} + \)\(33\!\cdots\!32\)\( T^{26} + \)\(21\!\cdots\!68\)\( T^{27} + \)\(12\!\cdots\!18\)\( T^{28} + \)\(75\!\cdots\!76\)\( T^{29} + \)\(47\!\cdots\!36\)\( T^{30} + \)\(20\!\cdots\!96\)\( T^{31} + \)\(38\!\cdots\!21\)\( T^{32} \))
$59$ (\( 1 - 4 T + 59 T^{2} \))(\( 1 + 12 T + 59 T^{2} \))(\( 1 - 4 T + 59 T^{2} \))(\( 1 + 12 T + 59 T^{2} \))(\( 1 - 12 T + 59 T^{2} \))(\( ( 1 + 98 T^{2} + 3481 T^{4} )^{2} \))(\( ( 1 + 98 T^{2} + 3481 T^{4} )^{2} \))(\( ( 1 + 216 T^{2} + 18598 T^{4} + 751896 T^{6} + 12117361 T^{8} )^{2} \))(\( ( 1 + 216 T^{2} + 18598 T^{4} + 751896 T^{6} + 12117361 T^{8} )^{2} \))(\( ( 1 - 8 T + 59 T^{2} )^{2} \))(\( ( 1 - 8 T + 59 T^{2} )^{2} \))(\( 1 + 12 T + 85 T^{2} + 708 T^{3} + 3481 T^{4} \))(\( 1 + 4 T - 43 T^{2} + 236 T^{3} + 3481 T^{4} \))(\( 1 + 12 T + 85 T^{2} + 708 T^{3} + 3481 T^{4} \))(\( 1 + 4 T - 43 T^{2} + 236 T^{3} + 3481 T^{4} \))(\( ( 1 - 16 T + 270 T^{2} - 3160 T^{3} + 33193 T^{4} - 284568 T^{5} + 2445376 T^{6} - 16789512 T^{7} + 115544833 T^{8} - 648997640 T^{9} + 3271687470 T^{10} - 11438788784 T^{11} + 42180533641 T^{12} )^{2} \))(\( ( 1 + 16 T + 270 T^{2} + 3160 T^{3} + 33193 T^{4} + 284568 T^{5} + 2445376 T^{6} + 16789512 T^{7} + 115544833 T^{8} + 648997640 T^{9} + 3271687470 T^{10} + 11438788784 T^{11} + 42180533641 T^{12} )^{2} \))(\( ( 1 - 4 T + 70 T^{2} - 116 T^{3} + 802 T^{4} - 6844 T^{5} + 243670 T^{6} - 821516 T^{7} + 12117361 T^{8} )^{2} \))(\( ( 1 + 4 T + 70 T^{2} + 116 T^{3} + 802 T^{4} + 6844 T^{5} + 243670 T^{6} + 821516 T^{7} + 12117361 T^{8} )^{2} \))(\( ( 1 - 4 T - 43 T^{2} - 236 T^{3} + 3481 T^{4} )^{2} \))(\( ( 1 + 12 T - 6 T^{2} - 160 T^{3} + 1890 T^{4} - 23628 T^{5} - 457606 T^{6} - 1394052 T^{7} + 6579090 T^{8} - 32860640 T^{9} - 72704166 T^{10} + 8579091588 T^{11} + 42180533641 T^{12} )^{2} \))(\( 1 - 12 T - 62 T^{2} + 192 T^{3} + 13661 T^{4} - 4488 T^{5} - 291210 T^{6} - 10035204 T^{7} + 17708314 T^{8} + 439140108 T^{9} + 4538367434 T^{10} - 27175198584 T^{11} - 197381258843 T^{12} - 1603336716456 T^{13} + 15798057037754 T^{14} + 90190156240932 T^{15} + 214578033439354 T^{16} - 7174411185021996 T^{17} - 12283393201595610 T^{18} - 11169067863867672 T^{19} + 2005850608112629181 T^{20} + 1663295197181748288 T^{21} - 31689238704639766862 T^{22} - \)\(36\!\cdots\!08\)\( T^{23} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 + 12 T - 62 T^{2} - 192 T^{3} + 13661 T^{4} + 4488 T^{5} - 291210 T^{6} + 10035204 T^{7} + 17708314 T^{8} - 439140108 T^{9} + 4538367434 T^{10} + 27175198584 T^{11} - 197381258843 T^{12} + 1603336716456 T^{13} + 15798057037754 T^{14} - 90190156240932 T^{15} + 214578033439354 T^{16} + 7174411185021996 T^{17} - 12283393201595610 T^{18} + 11169067863867672 T^{19} + 2005850608112629181 T^{20} - 1663295197181748288 T^{21} - 31689238704639766862 T^{22} + \)\(36\!\cdots\!08\)\( T^{23} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 - 9 T + 17 T^{2} + 486 T^{3} - 4164 T^{4} + 28674 T^{5} + 59177 T^{6} - 1848411 T^{7} + 12117361 T^{8} \))(\( 1 + 9 T + 17 T^{2} - 486 T^{3} - 4164 T^{4} - 28674 T^{5} + 59177 T^{6} + 1848411 T^{7} + 12117361 T^{8} \))(\( 1 + 9 T + 17 T^{2} - 486 T^{3} - 4164 T^{4} - 28674 T^{5} + 59177 T^{6} + 1848411 T^{7} + 12117361 T^{8} \))(\( 1 - 9 T + 17 T^{2} + 486 T^{3} - 4164 T^{4} + 28674 T^{5} + 59177 T^{6} - 1848411 T^{7} + 12117361 T^{8} \))(\( 1 - 100 T^{2} + 2458 T^{4} - 58000 T^{6} + 9954403 T^{8} - 201898000 T^{10} + 29784473338 T^{12} - 4218053364100 T^{14} + 146830437604321 T^{16} \))(\( 1 - 100 T^{2} + 2458 T^{4} - 58000 T^{6} + 9954403 T^{8} - 201898000 T^{10} + 29784473338 T^{12} - 4218053364100 T^{14} + 146830437604321 T^{16} \))(\( 1 - 8 T - 236 T^{2} + 1632 T^{3} + 30563 T^{4} - 163648 T^{5} - 2682716 T^{6} + 9836488 T^{7} + 178469613 T^{8} - 332320192 T^{9} - 10946443072 T^{10} + 3817987168 T^{11} + 756189977838 T^{12} + 175777223888 T^{13} - 56160273686696 T^{14} - 6297587928448 T^{15} + 3675723794639094 T^{16} - 371557687778432 T^{17} - 195493912703388776 T^{18} + 36100950464893552 T^{19} + 9163026946045045518 T^{20} + 2729571799673395232 T^{21} - \)\(46\!\cdots\!52\)\( T^{22} - \)\(82\!\cdots\!48\)\( T^{23} + \)\(26\!\cdots\!73\)\( T^{24} + \)\(85\!\cdots\!32\)\( T^{25} - \)\(13\!\cdots\!16\)\( T^{26} - \)\(49\!\cdots\!32\)\( T^{27} + \)\(54\!\cdots\!03\)\( T^{28} + \)\(17\!\cdots\!28\)\( T^{29} - \)\(14\!\cdots\!96\)\( T^{30} - \)\(29\!\cdots\!92\)\( T^{31} + \)\(21\!\cdots\!41\)\( T^{32} \))(\( 1 + 8 T - 236 T^{2} - 1632 T^{3} + 30563 T^{4} + 163648 T^{5} - 2682716 T^{6} - 9836488 T^{7} + 178469613 T^{8} + 332320192 T^{9} - 10946443072 T^{10} - 3817987168 T^{11} + 756189977838 T^{12} - 175777223888 T^{13} - 56160273686696 T^{14} + 6297587928448 T^{15} + 3675723794639094 T^{16} + 371557687778432 T^{17} - 195493912703388776 T^{18} - 36100950464893552 T^{19} + 9163026946045045518 T^{20} - 2729571799673395232 T^{21} - \)\(46\!\cdots\!52\)\( T^{22} + \)\(82\!\cdots\!48\)\( T^{23} + \)\(26\!\cdots\!73\)\( T^{24} - \)\(85\!\cdots\!32\)\( T^{25} - \)\(13\!\cdots\!16\)\( T^{26} + \)\(49\!\cdots\!32\)\( T^{27} + \)\(54\!\cdots\!03\)\( T^{28} - \)\(17\!\cdots\!28\)\( T^{29} - \)\(14\!\cdots\!96\)\( T^{30} + \)\(29\!\cdots\!92\)\( T^{31} + \)\(21\!\cdots\!41\)\( T^{32} \))
$61$ (\( 1 + 6 T + 61 T^{2} \))(\( 1 + 10 T + 61 T^{2} \))(\( 1 + 2 T + 61 T^{2} \))(\( 1 - 2 T + 61 T^{2} \))(\( 1 - 14 T + 61 T^{2} \))(\( 1 - 184 T^{2} + 15406 T^{4} - 684664 T^{6} + 13845841 T^{8} \))(\( 1 - 184 T^{2} + 15406 T^{4} - 684664 T^{6} + 13845841 T^{8} \))(\( ( 1 - 136 T^{2} + 9798 T^{4} - 506056 T^{6} + 13845841 T^{8} )^{2} \))(\( ( 1 - 136 T^{2} + 9798 T^{4} - 506056 T^{6} + 13845841 T^{8} )^{2} \))(\( ( 1 - 10 T + 61 T^{2} )^{2} \))(\( ( 1 + 10 T + 61 T^{2} )^{2} \))(\( 1 - 4 T - 45 T^{2} - 244 T^{3} + 3721 T^{4} \))(\( 1 + 4 T - 45 T^{2} + 244 T^{3} + 3721 T^{4} \))(\( 1 + 8 T + 3 T^{2} + 488 T^{3} + 3721 T^{4} \))(\( 1 - 61 T^{2} + 3721 T^{4} \))(\( ( 1 + 178 T^{2} + 664 T^{3} + 12681 T^{4} + 121240 T^{5} + 672800 T^{6} + 7395640 T^{7} + 47186001 T^{8} + 150715384 T^{9} + 2464559698 T^{10} + 51520374361 T^{12} )^{2} \))(\( ( 1 + 178 T^{2} + 664 T^{3} + 12681 T^{4} + 121240 T^{5} + 672800 T^{6} + 7395640 T^{7} + 47186001 T^{8} + 150715384 T^{9} + 2464559698 T^{10} + 51520374361 T^{12} )^{2} \))(\( 1 - 264 T^{2} + 37532 T^{4} - 3615096 T^{6} + 255247078 T^{8} - 13451772216 T^{10} + 519662104412 T^{12} - 13601378831304 T^{14} + 191707312997281 T^{16} \))(\( 1 - 264 T^{2} + 37532 T^{4} - 3615096 T^{6} + 255247078 T^{8} - 13451772216 T^{10} + 519662104412 T^{12} - 13601378831304 T^{14} + 191707312997281 T^{16} \))(\( ( 1 - 2 T - 57 T^{2} - 122 T^{3} + 3721 T^{4} )^{2} \))(\( ( 1 + 6 T - 39 T^{2} + 410 T^{3} + 930 T^{4} - 31074 T^{5} - 22719 T^{6} - 1895514 T^{7} + 3460530 T^{8} + 93062210 T^{9} - 539987799 T^{10} + 5067577806 T^{11} + 51520374361 T^{12} )^{2} \))(\( 1 + 30 T + 633 T^{2} + 9990 T^{3} + 134066 T^{4} + 1612650 T^{5} + 18045535 T^{6} + 190552410 T^{7} + 1899056448 T^{8} + 17814782910 T^{9} + 157346567941 T^{10} + 1317498445782 T^{11} + 10515537066752 T^{12} + 80367405192702 T^{13} + 585486579308461 T^{14} + 4043617239694710 T^{15} + 26294033629032768 T^{16} + 160939860632635410 T^{17} + 929712718744528135 T^{18} + 5068144234509265650 T^{19} + 25701432624293474546 T^{20} + \)\(11\!\cdots\!90\)\( T^{21} + \)\(45\!\cdots\!33\)\( T^{22} + \)\(13\!\cdots\!30\)\( T^{23} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( 1 + 30 T + 633 T^{2} + 9990 T^{3} + 134066 T^{4} + 1612650 T^{5} + 18045535 T^{6} + 190552410 T^{7} + 1899056448 T^{8} + 17814782910 T^{9} + 157346567941 T^{10} + 1317498445782 T^{11} + 10515537066752 T^{12} + 80367405192702 T^{13} + 585486579308461 T^{14} + 4043617239694710 T^{15} + 26294033629032768 T^{16} + 160939860632635410 T^{17} + 929712718744528135 T^{18} + 5068144234509265650 T^{19} + 25701432624293474546 T^{20} + \)\(11\!\cdots\!90\)\( T^{21} + \)\(45\!\cdots\!33\)\( T^{22} + \)\(13\!\cdots\!30\)\( T^{23} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( 1 + 27 T + 401 T^{2} + 4266 T^{3} + 36066 T^{4} + 260226 T^{5} + 1492121 T^{6} + 6128487 T^{7} + 13845841 T^{8} \))(\( 1 + 27 T + 401 T^{2} + 4266 T^{3} + 36066 T^{4} + 260226 T^{5} + 1492121 T^{6} + 6128487 T^{7} + 13845841 T^{8} \))(\( 1 + 27 T + 401 T^{2} + 4266 T^{3} + 36066 T^{4} + 260226 T^{5} + 1492121 T^{6} + 6128487 T^{7} + 13845841 T^{8} \))(\( 1 + 27 T + 401 T^{2} + 4266 T^{3} + 36066 T^{4} + 260226 T^{5} + 1492121 T^{6} + 6128487 T^{7} + 13845841 T^{8} \))(\( ( 1 - 6 T + 73 T^{2} - 366 T^{3} + 3721 T^{4} )^{4} \))(\( ( 1 - 6 T + 73 T^{2} - 366 T^{3} + 3721 T^{4} )^{4} \))(\( 1 - 24 T + 468 T^{2} - 6624 T^{3} + 79480 T^{4} - 829512 T^{5} + 7576872 T^{6} - 61686168 T^{7} + 432435906 T^{8} - 2460066384 T^{9} + 8493304812 T^{10} + 36652670904 T^{11} - 1139116635712 T^{12} + 15272951044440 T^{13} - 160222534806948 T^{14} + 1465410452960880 T^{15} - 12014486118540493 T^{16} + 89390037630613680 T^{17} - 596188052016653508 T^{18} + 3466669701018035640 T^{19} - 15772027818523273792 T^{20} + 30956710267288726104 T^{21} + \)\(43\!\cdots\!32\)\( T^{22} - \)\(77\!\cdots\!64\)\( T^{23} + \)\(82\!\cdots\!86\)\( T^{24} - \)\(72\!\cdots\!88\)\( T^{25} + \)\(54\!\cdots\!72\)\( T^{26} - \)\(36\!\cdots\!32\)\( T^{27} + \)\(21\!\cdots\!80\)\( T^{28} - \)\(10\!\cdots\!44\)\( T^{29} + \)\(46\!\cdots\!88\)\( T^{30} - \)\(14\!\cdots\!24\)\( T^{31} + \)\(36\!\cdots\!61\)\( T^{32} \))(\( 1 - 24 T + 468 T^{2} - 6624 T^{3} + 79480 T^{4} - 829512 T^{5} + 7576872 T^{6} - 61686168 T^{7} + 432435906 T^{8} - 2460066384 T^{9} + 8493304812 T^{10} + 36652670904 T^{11} - 1139116635712 T^{12} + 15272951044440 T^{13} - 160222534806948 T^{14} + 1465410452960880 T^{15} - 12014486118540493 T^{16} + 89390037630613680 T^{17} - 596188052016653508 T^{18} + 3466669701018035640 T^{19} - 15772027818523273792 T^{20} + 30956710267288726104 T^{21} + \)\(43\!\cdots\!32\)\( T^{22} - \)\(77\!\cdots\!64\)\( T^{23} + \)\(82\!\cdots\!86\)\( T^{24} - \)\(72\!\cdots\!88\)\( T^{25} + \)\(54\!\cdots\!72\)\( T^{26} - \)\(36\!\cdots\!32\)\( T^{27} + \)\(21\!\cdots\!80\)\( T^{28} - \)\(10\!\cdots\!44\)\( T^{29} + \)\(46\!\cdots\!88\)\( T^{30} - \)\(14\!\cdots\!24\)\( T^{31} + \)\(36\!\cdots\!61\)\( T^{32} \))
$67$ (\( 1 + 67 T^{2} \))(\( 1 + 4 T + 67 T^{2} \))(\( 1 - 12 T + 67 T^{2} \))(\( 1 - 8 T + 67 T^{2} \))(\( 1 + 12 T + 67 T^{2} \))(\( ( 1 + 12 T + 67 T^{2} )^{4} \))(\( ( 1 + 12 T + 67 T^{2} )^{4} \))(\( ( 1 - 140 T^{2} + 12086 T^{4} - 628460 T^{6} + 20151121 T^{8} )^{2} \))(\( ( 1 - 140 T^{2} + 12086 T^{4} - 628460 T^{6} + 20151121 T^{8} )^{2} \))(\( 1 + 10 T^{2} + 4489 T^{4} \))(\( 1 - 70 T^{2} + 4489 T^{4} \))(\( 1 + 12 T + 77 T^{2} + 804 T^{3} + 4489 T^{4} \))(\( 1 - 12 T + 77 T^{2} - 804 T^{3} + 4489 T^{4} \))(\( 1 + 8 T - 3 T^{2} + 536 T^{3} + 4489 T^{4} \))(\( 1 - 67 T^{2} + 4489 T^{4} \))(\( 1 + 64 T^{3} + 2390 T^{4} - 9024 T^{5} + 2048 T^{6} - 508672 T^{7} + 20286015 T^{8} + 4116224 T^{9} + 3266560 T^{10} - 440818304 T^{11} + 142523500468 T^{12} - 29534826368 T^{13} + 14663587840 T^{14} + 1238007878912 T^{15} + 408785942872815 T^{16} - 686770838427904 T^{17} + 185258766682112 T^{18} - 54691861526434752 T^{19} + 970501749360371990 T^{20} + 1741218201362876608 T^{21} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( 1 + 64 T^{3} + 2390 T^{4} - 9024 T^{5} + 2048 T^{6} - 508672 T^{7} + 20286015 T^{8} + 4116224 T^{9} + 3266560 T^{10} - 440818304 T^{11} + 142523500468 T^{12} - 29534826368 T^{13} + 14663587840 T^{14} + 1238007878912 T^{15} + 408785942872815 T^{16} - 686770838427904 T^{17} + 185258766682112 T^{18} - 54691861526434752 T^{19} + 970501749360371990 T^{20} + 1741218201362876608 T^{21} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( 1 - 64 T^{3} + 9348 T^{4} + 10560 T^{5} + 2048 T^{6} + 428416 T^{7} + 51599014 T^{8} + 28703872 T^{9} + 9193472 T^{10} + 3176057280 T^{11} + 188372679108 T^{12} - 86408006848 T^{13} + 406067677556641 T^{16} \))(\( 1 - 64 T^{3} + 9348 T^{4} + 10560 T^{5} + 2048 T^{6} + 428416 T^{7} + 51599014 T^{8} + 28703872 T^{9} + 9193472 T^{10} + 3176057280 T^{11} + 188372679108 T^{12} - 86408006848 T^{13} + 406067677556641 T^{16} \))(\( 1 + 98 T^{2} + 5115 T^{4} + 439922 T^{6} + 20151121 T^{8} \))(\( 1 + 150 T^{2} + 6333 T^{4} - 110030 T^{6} - 1332774 T^{8} + 1742888430 T^{10} + 160875783717 T^{12} + 7823826162270 T^{14} - 26856890139654 T^{16} - 9953135790055070 T^{18} + 2571626601966207453 T^{20} + \)\(27\!\cdots\!50\)\( T^{22} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( 1 + 4 T - 339 T^{2} - 1212 T^{3} + 65398 T^{4} + 197860 T^{5} - 8949237 T^{6} - 19422588 T^{7} + 965230072 T^{8} + 1219402116 T^{9} - 85058357911 T^{10} - 32989889052 T^{11} + 6246904001980 T^{12} - 2210322566484 T^{13} - 381826968662479 T^{14} + 366751038614508 T^{15} + 19450467973710712 T^{16} - 26222923701716916 T^{17} - 809533500666955053 T^{18} + 1199172398229208780 T^{19} + 26556013976849208118 T^{20} - 32974319688309475764 T^{21} - \)\(61\!\cdots\!11\)\( T^{22} + \)\(48\!\cdots\!32\)\( T^{23} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( 1 + 4 T - 339 T^{2} - 1212 T^{3} + 65398 T^{4} + 197860 T^{5} - 8949237 T^{6} - 19422588 T^{7} + 965230072 T^{8} + 1219402116 T^{9} - 85058357911 T^{10} - 32989889052 T^{11} + 6246904001980 T^{12} - 2210322566484 T^{13} - 381826968662479 T^{14} + 366751038614508 T^{15} + 19450467973710712 T^{16} - 26222923701716916 T^{17} - 809533500666955053 T^{18} + 1199172398229208780 T^{19} + 26556013976849208118 T^{20} - 32974319688309475764 T^{21} - \)\(61\!\cdots\!11\)\( T^{22} + \)\(48\!\cdots\!32\)\( T^{23} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( 1 - 9 T + 143 T^{2} - 1044 T^{3} + 10776 T^{4} - 69948 T^{5} + 641927 T^{6} - 2706867 T^{7} + 20151121 T^{8} \))(\( 1 + 9 T + 143 T^{2} + 1044 T^{3} + 10776 T^{4} + 69948 T^{5} + 641927 T^{6} + 2706867 T^{7} + 20151121 T^{8} \))(\( 1 - 9 T + 143 T^{2} - 1044 T^{3} + 10776 T^{4} - 69948 T^{5} + 641927 T^{6} - 2706867 T^{7} + 20151121 T^{8} \))(\( 1 + 9 T + 143 T^{2} + 1044 T^{3} + 10776 T^{4} + 69948 T^{5} + 641927 T^{6} + 2706867 T^{7} + 20151121 T^{8} \))(\( 1 + 36 T^{2} - 326 T^{4} - 264816 T^{6} - 23337981 T^{8} - 1188759024 T^{10} - 6569265446 T^{12} + 3256501758084 T^{14} + 406067677556641 T^{16} \))(\( 1 + 36 T^{2} - 326 T^{4} - 264816 T^{6} - 23337981 T^{8} - 1188759024 T^{10} - 6569265446 T^{12} + 3256501758084 T^{14} + 406067677556641 T^{16} \))(\( 1 - 36 T + 960 T^{2} - 19808 T^{3} + 351456 T^{4} - 5525148 T^{5} + 79071728 T^{6} - 1045655452 T^{7} + 12919151378 T^{8} - 150131218232 T^{9} + 1651372846640 T^{10} - 17248158507668 T^{11} + 171756254361824 T^{12} - 1633413949285436 T^{13} + 14868335084466800 T^{14} - 129646495999196328 T^{15} + 1083758100261010803 T^{16} - 8686315231946153976 T^{17} + 66743956194171465200 T^{18} - \)\(49\!\cdots\!68\)\( T^{19} + \)\(34\!\cdots\!04\)\( T^{20} - \)\(23\!\cdots\!76\)\( T^{21} + \)\(14\!\cdots\!60\)\( T^{22} - \)\(90\!\cdots\!36\)\( T^{23} + \)\(52\!\cdots\!98\)\( T^{24} - \)\(28\!\cdots\!44\)\( T^{25} + \)\(14\!\cdots\!72\)\( T^{26} - \)\(67\!\cdots\!84\)\( T^{27} + \)\(28\!\cdots\!16\)\( T^{28} - \)\(10\!\cdots\!96\)\( T^{29} + \)\(35\!\cdots\!40\)\( T^{30} - \)\(88\!\cdots\!48\)\( T^{31} + \)\(16\!\cdots\!81\)\( T^{32} \))(\( 1 + 84 T + 3216 T^{2} + 71776 T^{3} + 957024 T^{4} + 5741436 T^{5} - 40997200 T^{6} - 1158667636 T^{7} - 7828301806 T^{8} + 48210145144 T^{9} + 1314996417536 T^{10} + 8000602781236 T^{11} - 45952509042976 T^{12} - 1085658642853028 T^{13} - 5561139754106368 T^{14} + 34677137718483048 T^{15} + 641528682100762995 T^{16} + 2323368227138364216 T^{17} - 24963956356183485952 T^{18} - \)\(32\!\cdots\!64\)\( T^{19} - \)\(92\!\cdots\!96\)\( T^{20} + \)\(10\!\cdots\!52\)\( T^{21} + \)\(11\!\cdots\!84\)\( T^{22} + \)\(29\!\cdots\!12\)\( T^{23} - \)\(31\!\cdots\!46\)\( T^{24} - \)\(31\!\cdots\!92\)\( T^{25} - \)\(74\!\cdots\!00\)\( T^{26} + \)\(70\!\cdots\!88\)\( T^{27} + \)\(78\!\cdots\!64\)\( T^{28} + \)\(39\!\cdots\!12\)\( T^{29} + \)\(11\!\cdots\!64\)\( T^{30} + \)\(20\!\cdots\!12\)\( T^{31} + \)\(16\!\cdots\!81\)\( T^{32} \))
$71$ (\( 1 + 12 T + 71 T^{2} \))(\( 1 - 12 T + 71 T^{2} \))(\( 1 - 8 T + 71 T^{2} \))(\( 1 + 71 T^{2} \))(\( 1 + 8 T + 71 T^{2} \))(\( 1 - 224 T^{2} + 22126 T^{4} - 1129184 T^{6} + 25411681 T^{8} \))(\( 1 - 224 T^{2} + 22126 T^{4} - 1129184 T^{6} + 25411681 T^{8} \))(\( ( 1 - 28 T^{2} + 9270 T^{4} - 141148 T^{6} + 25411681 T^{8} )^{2} \))(\( ( 1 - 28 T^{2} + 9270 T^{4} - 141148 T^{6} + 25411681 T^{8} )^{2} \))(\( ( 1 + 14 T + 71 T^{2} )^{2} \))(\( ( 1 + 6 T + 71 T^{2} )^{2} \))(\( ( 1 + 14 T + 71 T^{2} )^{2} \))(\( ( 1 - 2 T + 71 T^{2} )^{2} \))(\( ( 1 + 6 T + 71 T^{2} )^{2} \))(\( ( 1 + 6 T + 71 T^{2} )^{2} \))(\( 1 - 440 T^{2} + 91446 T^{4} - 12419864 T^{6} + 1305779695 T^{8} - 116298170672 T^{10} + 8924106004404 T^{12} - 586259078357552 T^{14} + 33182057065617295 T^{16} - 1590988104660206744 T^{18} + 59051577418299860406 T^{20} - \)\(14\!\cdots\!40\)\( T^{22} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( 1 - 440 T^{2} + 91446 T^{4} - 12419864 T^{6} + 1305779695 T^{8} - 116298170672 T^{10} + 8924106004404 T^{12} - 586259078357552 T^{14} + 33182057065617295 T^{16} - 1590988104660206744 T^{18} + 59051577418299860406 T^{20} - \)\(14\!\cdots\!40\)\( T^{22} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( ( 1 - 4 T + 158 T^{2} + 220 T^{3} + 10018 T^{4} + 15620 T^{5} + 796478 T^{6} - 1431644 T^{7} + 25411681 T^{8} )^{2} \))(\( ( 1 - 4 T + 158 T^{2} + 220 T^{3} + 10018 T^{4} + 15620 T^{5} + 796478 T^{6} - 1431644 T^{7} + 25411681 T^{8} )^{2} \))(\( ( 1 + 2 T + 71 T^{2} )^{4} \))(\( ( 1 - 6 T + 71 T^{2} )^{12} \))(\( 1 - 300 T^{2} + 49610 T^{4} - 6300412 T^{6} + 667955583 T^{8} - 59469293656 T^{10} + 4533955360172 T^{12} - 299784709319896 T^{14} + 16973874197365023 T^{16} - 807084566019275452 T^{18} + 32035832685102203210 T^{20} - \)\(97\!\cdots\!00\)\( T^{22} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( 1 - 300 T^{2} + 49610 T^{4} - 6300412 T^{6} + 667955583 T^{8} - 59469293656 T^{10} + 4533955360172 T^{12} - 299784709319896 T^{14} + 16973874197365023 T^{16} - 807084566019275452 T^{18} + 32035832685102203210 T^{20} - \)\(97\!\cdots\!00\)\( T^{22} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( 1 - 208 T^{2} + 19710 T^{4} - 1048528 T^{6} + 25411681 T^{8} \))(\( 1 - 208 T^{2} + 19710 T^{4} - 1048528 T^{6} + 25411681 T^{8} \))(\( 1 - 208 T^{2} + 19710 T^{4} - 1048528 T^{6} + 25411681 T^{8} \))(\( 1 - 208 T^{2} + 19710 T^{4} - 1048528 T^{6} + 25411681 T^{8} \))(\( ( 1 - 232 T^{2} + 23058 T^{4} - 1169512 T^{6} + 25411681 T^{8} )^{2} \))(\( ( 1 - 232 T^{2} + 23058 T^{4} - 1169512 T^{6} + 25411681 T^{8} )^{2} \))(\( ( 1 + 16 T + 392 T^{2} + 4432 T^{3} + 72412 T^{4} + 697872 T^{5} + 8835896 T^{6} + 71051216 T^{7} + 737387398 T^{8} + 5044636336 T^{9} + 44541751736 T^{10} + 249776065392 T^{11} + 1840110644572 T^{12} + 7996344483632 T^{13} + 50215311297032 T^{14} + 145521922534256 T^{15} + 645753531245761 T^{16} )^{2} \))(\( ( 1 + 16 T + 392 T^{2} + 4432 T^{3} + 72412 T^{4} + 697872 T^{5} + 8835896 T^{6} + 71051216 T^{7} + 737387398 T^{8} + 5044636336 T^{9} + 44541751736 T^{10} + 249776065392 T^{11} + 1840110644572 T^{12} + 7996344483632 T^{13} + 50215311297032 T^{14} + 145521922534256 T^{15} + 645753531245761 T^{16} )^{2} \))
$73$ (\( 1 + 6 T + 73 T^{2} \))(\( 1 + 10 T + 73 T^{2} \))(\( 1 + 14 T + 73 T^{2} \))(\( 1 - 14 T + 73 T^{2} \))(\( 1 - 10 T + 73 T^{2} \))(\( 1 - 120 T^{2} + 12638 T^{4} - 639480 T^{6} + 28398241 T^{8} \))(\( 1 - 120 T^{2} + 12638 T^{4} - 639480 T^{6} + 28398241 T^{8} \))(\( ( 1 + 252 T^{2} + 26422 T^{4} + 1342908 T^{6} + 28398241 T^{8} )^{2} \))(\( ( 1 + 252 T^{2} + 26422 T^{4} + 1342908 T^{6} + 28398241 T^{8} )^{2} \))(\( 1 - 46 T^{2} + 5329 T^{4} \))(\( 1 + 50 T^{2} + 5329 T^{4} \))(\( 1 - 14 T + 123 T^{2} - 1022 T^{3} + 5329 T^{4} \))(\( ( 1 - 7 T + 73 T^{2} )( 1 + 17 T + 73 T^{2} ) \))(\( 1 + 2 T - 69 T^{2} + 146 T^{3} + 5329 T^{4} \))(\( 1 - 6 T - 37 T^{2} - 438 T^{3} + 5329 T^{4} \))(\( 1 + 24 T + 288 T^{2} + 2936 T^{3} + 13126 T^{4} - 142696 T^{5} - 2894944 T^{6} - 37628616 T^{7} - 323587345 T^{8} - 985106832 T^{9} + 7253083968 T^{10} + 194887191344 T^{11} + 2401164656404 T^{12} + 14226764968112 T^{13} + 38651684465472 T^{14} - 383223304464144 T^{15} - 9189311407860145 T^{16} - 78006814913505288 T^{17} - 438104110389982816 T^{18} - 1576419579081065512 T^{19} + 10585595166201707206 T^{20} + \)\(17\!\cdots\!68\)\( T^{21} + \)\(12\!\cdots\!12\)\( T^{22} + \)\(75\!\cdots\!48\)\( T^{23} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 + 24 T + 288 T^{2} + 2936 T^{3} + 13126 T^{4} - 142696 T^{5} - 2894944 T^{6} - 37628616 T^{7} - 323587345 T^{8} - 985106832 T^{9} + 7253083968 T^{10} + 194887191344 T^{11} + 2401164656404 T^{12} + 14226764968112 T^{13} + 38651684465472 T^{14} - 383223304464144 T^{15} - 9189311407860145 T^{16} - 78006814913505288 T^{17} - 438104110389982816 T^{18} - 1576419579081065512 T^{19} + 10585595166201707206 T^{20} + \)\(17\!\cdots\!68\)\( T^{21} + \)\(12\!\cdots\!12\)\( T^{22} + \)\(75\!\cdots\!48\)\( T^{23} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 + 28 T + 392 T^{2} + 4756 T^{3} + 46736 T^{4} + 302508 T^{5} + 1459480 T^{6} + 3207460 T^{7} - 21483554 T^{8} + 234144580 T^{9} + 7777568920 T^{10} + 117680754636 T^{11} + 1327220191376 T^{12} + 9859528496308 T^{13} + 59323016705288 T^{14} + 309327158534716 T^{15} + 806460091894081 T^{16} \))(\( 1 - 28 T + 392 T^{2} - 4756 T^{3} + 46736 T^{4} - 302508 T^{5} + 1459480 T^{6} - 3207460 T^{7} - 21483554 T^{8} - 234144580 T^{9} + 7777568920 T^{10} - 117680754636 T^{11} + 1327220191376 T^{12} - 9859528496308 T^{13} + 59323016705288 T^{14} - 309327158534716 T^{15} + 806460091894081 T^{16} \))(\( 1 + 130 T^{2} + 11571 T^{4} + 692770 T^{6} + 28398241 T^{8} \))(\( ( 1 + 130 T^{2} + 11571 T^{4} + 692770 T^{6} + 28398241 T^{8} )^{3} \))(\( 1 + 158 T^{2} + 8161 T^{4} - 137736 T^{5} + 413890 T^{6} - 21056400 T^{7} + 34702222 T^{8} - 1012533192 T^{9} + 9774206798 T^{10} - 39652148664 T^{11} + 1268896234901 T^{12} - 2894606852472 T^{13} + 52086748026542 T^{14} - 393892624752264 T^{15} + 985482063591502 T^{16} - 43651424690845200 T^{17} + 62635722918754210 T^{18} - 1521624482426344392 T^{19} + 6581520809947595041 T^{20} + \)\(67\!\cdots\!42\)\( T^{22} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 + 158 T^{2} + 8161 T^{4} - 137736 T^{5} + 413890 T^{6} - 21056400 T^{7} + 34702222 T^{8} - 1012533192 T^{9} + 9774206798 T^{10} - 39652148664 T^{11} + 1268896234901 T^{12} - 2894606852472 T^{13} + 52086748026542 T^{14} - 393892624752264 T^{15} + 985482063591502 T^{16} - 43651424690845200 T^{17} + 62635722918754210 T^{18} - 1521624482426344392 T^{19} + 6581520809947595041 T^{20} + \)\(67\!\cdots\!42\)\( T^{22} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( ( 1 - 2 T - 69 T^{2} - 146 T^{3} + 5329 T^{4} )^{2} \))(\( ( 1 + 2 T - 69 T^{2} + 146 T^{3} + 5329 T^{4} )^{2} \))(\( ( 1 - 2 T - 69 T^{2} - 146 T^{3} + 5329 T^{4} )^{2} \))(\( ( 1 + 2 T - 69 T^{2} + 146 T^{3} + 5329 T^{4} )^{2} \))(\( 1 - 136 T^{2} + 7534 T^{4} - 41344 T^{6} - 6797981 T^{8} - 220322176 T^{10} + 213952347694 T^{12} - 20581454775304 T^{14} + 806460091894081 T^{16} \))(\( 1 - 136 T^{2} + 7534 T^{4} - 41344 T^{6} - 6797981 T^{8} - 220322176 T^{10} + 213952347694 T^{12} - 20581454775304 T^{14} + 806460091894081 T^{16} \))(\( 1 + 40 T + 512 T^{2} - 1704 T^{3} - 115340 T^{4} - 995264 T^{5} + 4224032 T^{6} + 134702512 T^{7} + 706330218 T^{8} - 4851409768 T^{9} - 89219066272 T^{10} - 434676875784 T^{11} + 2356262737872 T^{12} + 56320191577336 T^{13} + 325034384414112 T^{14} - 1853571681237960 T^{15} - 38795165571506349 T^{16} - 135310732730371080 T^{17} + 1732108234542802848 T^{18} + 21909511966840518712 T^{19} + 66913717089408883152 T^{20} - \)\(90\!\cdots\!12\)\( T^{21} - \)\(13\!\cdots\!08\)\( T^{22} - \)\(53\!\cdots\!96\)\( T^{23} + \)\(56\!\cdots\!58\)\( T^{24} + \)\(79\!\cdots\!56\)\( T^{25} + \)\(18\!\cdots\!68\)\( T^{26} - \)\(31\!\cdots\!28\)\( T^{27} - \)\(26\!\cdots\!40\)\( T^{28} - \)\(28\!\cdots\!32\)\( T^{29} + \)\(62\!\cdots\!08\)\( T^{30} + \)\(35\!\cdots\!80\)\( T^{31} + \)\(65\!\cdots\!61\)\( T^{32} \))(\( 1 - 16 T + 416 T^{2} - 4440 T^{3} + 68404 T^{4} - 584824 T^{5} + 7229216 T^{6} - 53644504 T^{7} + 544685226 T^{8} - 2736110216 T^{9} + 18336160640 T^{10} + 72833715600 T^{11} - 1347659375280 T^{12} + 28574375923760 T^{13} - 284065502536896 T^{14} + 3320804755103832 T^{15} - 26931854637922413 T^{16} + 242418747122579736 T^{17} - 1513785063019118784 T^{18} + 11115917998733343920 T^{19} - 38271155725110882480 T^{20} + \)\(15\!\cdots\!00\)\( T^{21} + \)\(27\!\cdots\!60\)\( T^{22} - \)\(30\!\cdots\!52\)\( T^{23} + \)\(43\!\cdots\!06\)\( T^{24} - \)\(31\!\cdots\!52\)\( T^{25} + \)\(31\!\cdots\!84\)\( T^{26} - \)\(18\!\cdots\!48\)\( T^{27} + \)\(15\!\cdots\!84\)\( T^{28} - \)\(74\!\cdots\!20\)\( T^{29} + \)\(50\!\cdots\!44\)\( T^{30} - \)\(14\!\cdots\!12\)\( T^{31} + \)\(65\!\cdots\!61\)\( T^{32} \))
$79$ (\( 1 + 8 T + 79 T^{2} \))(\( 1 - 8 T + 79 T^{2} \))(\( 1 + 79 T^{2} \))(\( 1 + 16 T + 79 T^{2} \))(\( 1 - 16 T + 79 T^{2} \))(\( ( 1 + 78 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 + 78 T^{2} + 6241 T^{4} )^{2} \))(\( ( 1 + 4 T + 134 T^{2} + 316 T^{3} + 6241 T^{4} )^{4} \))(\( ( 1 + 4 T + 134 T^{2} + 316 T^{3} + 6241 T^{4} )^{4} \))(\( ( 1 + 4 T + 79 T^{2} )^{2} \))(\( ( 1 - 12 T + 79 T^{2} )^{2} \))(\( ( 1 - 13 T + 79 T^{2} )( 1 + 17 T + 79 T^{2} ) \))(\( 1 - 12 T + 65 T^{2} - 948 T^{3} + 6241 T^{4} \))(\( 1 + 8 T - 15 T^{2} + 632 T^{3} + 6241 T^{4} \))(\( 1 - 8 T - 15 T^{2} - 632 T^{3} + 6241 T^{4} \))(\( 1 - 508 T^{2} + 135562 T^{4} - 24649964 T^{6} + 3381685343 T^{8} - 366753014104 T^{10} + 32137748903980 T^{12} - 2288905561023064 T^{14} + 131716918026362783 T^{16} - 5992097027444251244 T^{18} + \)\(20\!\cdots\!82\)\( T^{20} - \)\(48\!\cdots\!08\)\( T^{22} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 - 508 T^{2} + 135562 T^{4} - 24649964 T^{6} + 3381685343 T^{8} - 366753014104 T^{10} + 32137748903980 T^{12} - 2288905561023064 T^{14} + 131716918026362783 T^{16} - 5992097027444251244 T^{18} + \)\(20\!\cdots\!82\)\( T^{20} - \)\(48\!\cdots\!08\)\( T^{22} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 - 272 T^{2} + 39644 T^{4} - 4069360 T^{6} + 348070342 T^{8} - 25396875760 T^{10} + 1544137011164 T^{12} - 66119787901712 T^{14} + 1517108809906561 T^{16} \))(\( 1 - 272 T^{2} + 39644 T^{4} - 4069360 T^{6} + 348070342 T^{8} - 25396875760 T^{10} + 1544137011164 T^{12} - 66119787901712 T^{14} + 1517108809906561 T^{16} \))(\( ( 1 + 14 T + 117 T^{2} + 1106 T^{3} + 6241 T^{4} )^{2} \))(\( ( 1 - 24 T + 162 T^{2} - 1548 T^{3} + 38034 T^{4} - 316212 T^{5} + 1440614 T^{6} - 24980748 T^{7} + 237370194 T^{8} - 763224372 T^{9} + 6309913122 T^{10} - 73849353576 T^{11} + 243087455521 T^{12} )^{2} \))(\( 1 + 4 T - 254 T^{2} + 1984 T^{3} + 51521 T^{4} - 543784 T^{5} - 2546434 T^{6} + 103559324 T^{7} - 209408530 T^{8} - 8333233172 T^{9} + 86160957682 T^{10} + 365142325960 T^{11} - 8321189358475 T^{12} + 28846243750840 T^{13} + 537730536893362 T^{14} - 4108608949889708 T^{15} - 8156479205590930 T^{16} + 318657880590314276 T^{17} - 619006161712162114 T^{18} - 10442778444129485656 T^{19} + 78162962995195929281 T^{20} + \)\(23\!\cdots\!96\)\( T^{21} - \)\(24\!\cdots\!54\)\( T^{22} + \)\(29\!\cdots\!16\)\( T^{23} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 + 4 T - 254 T^{2} + 1984 T^{3} + 51521 T^{4} - 543784 T^{5} - 2546434 T^{6} + 103559324 T^{7} - 209408530 T^{8} - 8333233172 T^{9} + 86160957682 T^{10} + 365142325960 T^{11} - 8321189358475 T^{12} + 28846243750840 T^{13} + 537730536893362 T^{14} - 4108608949889708 T^{15} - 8156479205590930 T^{16} + 318657880590314276 T^{17} - 619006161712162114 T^{18} - 10442778444129485656 T^{19} + 78162962995195929281 T^{20} + \)\(23\!\cdots\!96\)\( T^{21} - \)\(24\!\cdots\!54\)\( T^{22} + \)\(29\!\cdots\!16\)\( T^{23} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 + T - 83 T^{2} - 74 T^{3} + 736 T^{4} - 5846 T^{5} - 518003 T^{6} + 493039 T^{7} + 38950081 T^{8} \))(\( 1 + T - 83 T^{2} - 74 T^{3} + 736 T^{4} - 5846 T^{5} - 518003 T^{6} + 493039 T^{7} + 38950081 T^{8} \))(\( 1 + T - 83 T^{2} - 74 T^{3} + 736 T^{4} - 5846 T^{5} - 518003 T^{6} + 493039 T^{7} + 38950081 T^{8} \))(\( 1 + T - 83 T^{2} - 74 T^{3} + 736 T^{4} - 5846 T^{5} - 518003 T^{6} + 493039 T^{7} + 38950081 T^{8} \))(\( ( 1 + 12 T - 20 T^{2} + 72 T^{3} + 9279 T^{4} + 5688 T^{5} - 124820 T^{6} + 5916468 T^{7} + 38950081 T^{8} )^{2} \))(\( ( 1 + 12 T - 20 T^{2} + 72 T^{3} + 9279 T^{4} + 5688 T^{5} - 124820 T^{6} + 5916468 T^{7} + 38950081 T^{8} )^{2} \))(\( 1 - 12 T + 518 T^{2} - 5640 T^{3} + 137639 T^{4} - 1484376 T^{5} + 26147402 T^{6} - 279843540 T^{7} + 3950719429 T^{8} - 41115674928 T^{9} + 499791767516 T^{10} - 4982987471808 T^{11} + 54520483633690 T^{12} - 515559074594184 T^{13} + 5198103978036912 T^{14} - 46390749479828928 T^{15} + 436708099187124858 T^{16} - 3664869208906485312 T^{17} + 32441366926928367792 T^{18} - \)\(25\!\cdots\!76\)\( T^{19} + \)\(21\!\cdots\!90\)\( T^{20} - \)\(15\!\cdots\!92\)\( T^{21} + \)\(12\!\cdots\!36\)\( T^{22} - \)\(78\!\cdots\!52\)\( T^{23} + \)\(59\!\cdots\!69\)\( T^{24} - \)\(33\!\cdots\!60\)\( T^{25} + \)\(24\!\cdots\!02\)\( T^{26} - \)\(11\!\cdots\!04\)\( T^{27} + \)\(81\!\cdots\!99\)\( T^{28} - \)\(26\!\cdots\!60\)\( T^{29} + \)\(19\!\cdots\!58\)\( T^{30} - \)\(34\!\cdots\!88\)\( T^{31} + \)\(23\!\cdots\!21\)\( T^{32} \))(\( 1 + 12 T + 518 T^{2} + 5640 T^{3} + 137639 T^{4} + 1484376 T^{5} + 26147402 T^{6} + 279843540 T^{7} + 3950719429 T^{8} + 41115674928 T^{9} + 499791767516 T^{10} + 4982987471808 T^{11} + 54520483633690 T^{12} + 515559074594184 T^{13} + 5198103978036912 T^{14} + 46390749479828928 T^{15} + 436708099187124858 T^{16} + 3664869208906485312 T^{17} + 32441366926928367792 T^{18} + \)\(25\!\cdots\!76\)\( T^{19} + \)\(21\!\cdots\!90\)\( T^{20} + \)\(15\!\cdots\!92\)\( T^{21} + \)\(12\!\cdots\!36\)\( T^{22} + \)\(78\!\cdots\!52\)\( T^{23} + \)\(59\!\cdots\!69\)\( T^{24} + \)\(33\!\cdots\!60\)\( T^{25} + \)\(24\!\cdots\!02\)\( T^{26} + \)\(11\!\cdots\!04\)\( T^{27} + \)\(81\!\cdots\!99\)\( T^{28} + \)\(26\!\cdots\!60\)\( T^{29} + \)\(19\!\cdots\!58\)\( T^{30} + \)\(34\!\cdots\!88\)\( T^{31} + \)\(23\!\cdots\!21\)\( T^{32} \))
$83$ (\( 1 + 4 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 - 12 T + 83 T^{2} \))(\( 1 + 12 T + 83 T^{2} \))(\( ( 1 + 2 T - 78 T^{2} + 166 T^{3} + 6889 T^{4} )^{2} \))(\( ( 1 - 2 T - 78 T^{2} - 166 T^{3} + 6889 T^{4} )^{2} \))(\( ( 1 - 224 T^{2} + 26294 T^{4} - 1543136 T^{6} + 47458321 T^{8} )^{2} \))(\( ( 1 - 224 T^{2} + 26294 T^{4} - 1543136 T^{6} + 47458321 T^{8} )^{2} \))(\( 1 + 90 T^{2} + 6889 T^{4} \))(\( 1 - 102 T^{2} + 6889 T^{4} \))(\( ( 1 - 12 T + 83 T^{2} )^{2} \))(\( ( 1 + 12 T + 83 T^{2} )^{2} \))(\( ( 1 + 83 T^{2} )^{2} \))(\( ( 1 - 8 T + 83 T^{2} )^{2} \))(\( 1 + 24 T + 288 T^{2} + 3784 T^{3} + 70066 T^{4} + 929320 T^{5} + 9284000 T^{6} + 107957496 T^{7} + 1400664563 T^{8} + 14071243520 T^{9} + 124154702400 T^{10} + 1299362373632 T^{11} + 13371946678180 T^{12} + 107847077011456 T^{13} + 855301744833600 T^{14} + 8045754118570240 T^{15} + 66473188444178723 T^{16} + 425248964460509928 T^{17} + 3035314426357796000 T^{18} + 25218074905680163640 T^{19} + \)\(15\!\cdots\!06\)\( T^{20} + \)\(70\!\cdots\!52\)\( T^{21} + \)\(44\!\cdots\!12\)\( T^{22} + \)\(30\!\cdots\!08\)\( T^{23} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 - 24 T + 288 T^{2} - 3784 T^{3} + 70066 T^{4} - 929320 T^{5} + 9284000 T^{6} - 107957496 T^{7} + 1400664563 T^{8} - 14071243520 T^{9} + 124154702400 T^{10} - 1299362373632 T^{11} + 13371946678180 T^{12} - 107847077011456 T^{13} + 855301744833600 T^{14} - 8045754118570240 T^{15} + 66473188444178723 T^{16} - 425248964460509928 T^{17} + 3035314426357796000 T^{18} - 25218074905680163640 T^{19} + \)\(15\!\cdots\!06\)\( T^{20} - \)\(70\!\cdots\!52\)\( T^{21} + \)\(44\!\cdots\!12\)\( T^{22} - \)\(30\!\cdots\!08\)\( T^{23} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 + 16 T + 128 T^{2} + 976 T^{3} + 16964 T^{4} + 235664 T^{5} + 2075520 T^{6} + 16972368 T^{7} + 135669670 T^{8} + 1408706544 T^{9} + 14298257280 T^{10} + 134749611568 T^{11} + 805082957444 T^{12} + 3844503667568 T^{13} + 41848367791232 T^{14} + 434176815834032 T^{15} + 2252292232139041 T^{16} \))(\( 1 - 16 T + 128 T^{2} - 976 T^{3} + 16964 T^{4} - 235664 T^{5} + 2075520 T^{6} - 16972368 T^{7} + 135669670 T^{8} - 1408706544 T^{9} + 14298257280 T^{10} - 134749611568 T^{11} + 805082957444 T^{12} - 3844503667568 T^{13} + 41848367791232 T^{14} - 434176815834032 T^{15} + 2252292232139041 T^{16} \))(\( ( 1 - 66 T^{2} + 6889 T^{4} )^{2} \))(\( ( 1 - 300 T^{2} + 40392 T^{4} - 3707850 T^{6} + 278260488 T^{8} - 14237496300 T^{10} + 326940373369 T^{12} )^{2} \))(\( ( 1 + 20 T + 635 T^{2} + 8628 T^{3} + 148691 T^{4} + 1458128 T^{5} + 17076098 T^{6} + 121024624 T^{7} + 1024332299 T^{8} + 4933378236 T^{9} + 30136033835 T^{10} + 78780812860 T^{11} + 326940373369 T^{12} )^{2} \))(\( ( 1 - 20 T + 635 T^{2} - 8628 T^{3} + 148691 T^{4} - 1458128 T^{5} + 17076098 T^{6} - 121024624 T^{7} + 1024332299 T^{8} - 4933378236 T^{9} + 30136033835 T^{10} - 78780812860 T^{11} + 326940373369 T^{12} )^{2} \))(\( 1 - 190 T^{2} + 18051 T^{4} - 1308910 T^{6} + 47458321 T^{8} \))(\( 1 - 190 T^{2} + 18051 T^{4} - 1308910 T^{6} + 47458321 T^{8} \))(\( 1 - 190 T^{2} + 18051 T^{4} - 1308910 T^{6} + 47458321 T^{8} \))(\( 1 - 190 T^{2} + 18051 T^{4} - 1308910 T^{6} + 47458321 T^{8} \))(\( ( 1 - 36 T^{2} - 3178 T^{4} - 248004 T^{6} + 47458321 T^{8} )^{2} \))(\( ( 1 - 36 T^{2} - 3178 T^{4} - 248004 T^{6} + 47458321 T^{8} )^{2} \))(\( 1 + 16 T + 128 T^{2} + 48 T^{3} - 16022 T^{4} - 55056 T^{5} + 1171072 T^{6} + 29664624 T^{7} + 191234977 T^{8} - 1519529248 T^{9} - 27088145920 T^{10} - 210706506976 T^{11} + 1209312464722 T^{12} + 24316714882016 T^{13} + 89859490185984 T^{14} - 1324590918805248 T^{15} - 28693493560058396 T^{16} - 109941046260835584 T^{17} + 619042027891243776 T^{18} + 13903981452243282592 T^{19} + 57391939140077851762 T^{20} - \)\(82\!\cdots\!68\)\( T^{21} - \)\(88\!\cdots\!80\)\( T^{22} - \)\(41\!\cdots\!96\)\( T^{23} + \)\(43\!\cdots\!57\)\( T^{24} + \)\(55\!\cdots\!72\)\( T^{25} + \)\(18\!\cdots\!28\)\( T^{26} - \)\(70\!\cdots\!52\)\( T^{27} - \)\(17\!\cdots\!42\)\( T^{28} + \)\(42\!\cdots\!24\)\( T^{29} + \)\(94\!\cdots\!12\)\( T^{30} + \)\(97\!\cdots\!12\)\( T^{31} + \)\(50\!\cdots\!81\)\( T^{32} \))(\( 1 - 16 T + 128 T^{2} - 48 T^{3} - 16022 T^{4} + 55056 T^{5} + 1171072 T^{6} - 29664624 T^{7} + 191234977 T^{8} + 1519529248 T^{9} - 27088145920 T^{10} + 210706506976 T^{11} + 1209312464722 T^{12} - 24316714882016 T^{13} + 89859490185984 T^{14} + 1324590918805248 T^{15} - 28693493560058396 T^{16} + 109941046260835584 T^{17} + 619042027891243776 T^{18} - 13903981452243282592 T^{19} + 57391939140077851762 T^{20} + \)\(82\!\cdots\!68\)\( T^{21} - \)\(88\!\cdots\!80\)\( T^{22} + \)\(41\!\cdots\!96\)\( T^{23} + \)\(43\!\cdots\!57\)\( T^{24} - \)\(55\!\cdots\!72\)\( T^{25} + \)\(18\!\cdots\!28\)\( T^{26} + \)\(70\!\cdots\!52\)\( T^{27} - \)\(17\!\cdots\!42\)\( T^{28} - \)\(42\!\cdots\!24\)\( T^{29} + \)\(94\!\cdots\!12\)\( T^{30} - \)\(97\!\cdots\!12\)\( T^{31} + \)\(50\!\cdots\!81\)\( T^{32} \))
$89$ (\( 1 - 14 T + 89 T^{2} \))(\( 1 + 6 T + 89 T^{2} \))(\( 1 - 2 T + 89 T^{2} \))(\( 1 - 6 T + 89 T^{2} \))(\( 1 - 10 T + 89 T^{2} \))(\( ( 1 + 20 T + 258 T^{2} + 1780 T^{3} + 7921 T^{4} )^{2} \))(\( ( 1 - 20 T + 258 T^{2} - 1780 T^{3} + 7921 T^{4} )^{2} \))(\( ( 1 - 60 T^{2} + 14950 T^{4} - 475260 T^{6} + 62742241 T^{8} )^{2} \))(\( ( 1 - 60 T^{2} + 14950 T^{4} - 475260 T^{6} + 62742241 T^{8} )^{2} \))(\( ( 1 + 10 T + 89 T^{2} )^{2} \))(\( ( 1 - 10 T + 89 T^{2} )^{2} \))(\( 1 - 2 T - 85 T^{2} - 178 T^{3} + 7921 T^{4} \))(\( 1 + 14 T + 107 T^{2} + 1246 T^{3} + 7921 T^{4} \))(\( 1 + 6 T - 53 T^{2} + 534 T^{3} + 7921 T^{4} \))(\( 1 - 10 T + 11 T^{2} - 890 T^{3} + 7921 T^{4} \))(\( ( 1 - 24 T + 358 T^{2} - 5272 T^{3} + 62767 T^{4} - 696208 T^{5} + 7360436 T^{6} - 61962512 T^{7} + 497177407 T^{8} - 3716596568 T^{9} + 22461722278 T^{10} - 134017426776 T^{11} + 496981290961 T^{12} )^{2} \))(\( ( 1 + 24 T + 358 T^{2} + 5272 T^{3} + 62767 T^{4} + 696208 T^{5} + 7360436 T^{6} + 61962512 T^{7} + 497177407 T^{8} + 3716596568 T^{9} + 22461722278 T^{10} + 134017426776 T^{11} + 496981290961 T^{12} )^{2} \))(\( ( 1 + 32 T + 628 T^{2} + 8320 T^{3} + 88630 T^{4} + 740480 T^{5} + 4974388 T^{6} + 22559008 T^{7} + 62742241 T^{8} )^{2} \))(\( ( 1 - 32 T + 628 T^{2} - 8320 T^{3} + 88630 T^{4} - 740480 T^{5} + 4974388 T^{6} - 22559008 T^{7} + 62742241 T^{8} )^{2} \))(\( ( 1 - 10 T + 11 T^{2} - 890 T^{3} + 7921 T^{4} )^{2} \))(\( ( 1 + 6 T - 123 T^{2} - 398 T^{3} + 7074 T^{4} - 14802 T^{5} - 668251 T^{6} - 1317378 T^{7} + 56033154 T^{8} - 280577662 T^{9} - 7717295643 T^{10} + 33504356694 T^{11} + 496981290961 T^{12} )^{2} \))(\( 1 - 26 T + 101 T^{2} + 1838 T^{3} + 1058 T^{4} - 234822 T^{5} - 191269 T^{6} + 17352042 T^{7} - 36283792 T^{8} - 94067578 T^{9} - 6641487 T^{10} - 7507089026 T^{11} - 13384168368 T^{12} - 668130923314 T^{13} - 52607218527 T^{14} - 66314726395082 T^{15} - 2276526422057872 T^{16} + 96894834089544858 T^{17} - 95057114540819509 T^{18} - 10386490522837910838 T^{19} + 4164910956432801698 T^{20} + \)\(64\!\cdots\!42\)\( T^{21} + \)\(31\!\cdots\!01\)\( T^{22} - \)\(72\!\cdots\!14\)\( T^{23} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 + 26 T + 101 T^{2} - 1838 T^{3} + 1058 T^{4} + 234822 T^{5} - 191269 T^{6} - 17352042 T^{7} - 36283792 T^{8} + 94067578 T^{9} - 6641487 T^{10} + 7507089026 T^{11} - 13384168368 T^{12} + 668130923314 T^{13} - 52607218527 T^{14} + 66314726395082 T^{15} - 2276526422057872 T^{16} - 96894834089544858 T^{17} - 95057114540819509 T^{18} + 10386490522837910838 T^{19} + 4164910956432801698 T^{20} - \)\(64\!\cdots\!42\)\( T^{21} + \)\(31\!\cdots\!01\)\( T^{22} + \)\(72\!\cdots\!14\)\( T^{23} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 + 3 T - 163 T^{2} - 18 T^{3} + 20862 T^{4} - 1602 T^{5} - 1291123 T^{6} + 2114907 T^{7} + 62742241 T^{8} \))(\( 1 - 3 T - 163 T^{2} + 18 T^{3} + 20862 T^{4} + 1602 T^{5} - 1291123 T^{6} - 2114907 T^{7} + 62742241 T^{8} \))(\( 1 - 3 T - 163 T^{2} + 18 T^{3} + 20862 T^{4} + 1602 T^{5} - 1291123 T^{6} - 2114907 T^{7} + 62742241 T^{8} \))(\( 1 + 3 T - 163 T^{2} - 18 T^{3} + 20862 T^{4} - 1602 T^{5} - 1291123 T^{6} + 2114907 T^{7} + 62742241 T^{8} \))(\( 1 - 220 T^{2} + 22378 T^{4} - 2239600 T^{6} + 231025843 T^{8} - 17739871600 T^{10} + 1404045869098 T^{12} - 109335884011420 T^{14} + 3936588805702081 T^{16} \))(\( 1 - 220 T^{2} + 22378 T^{4} - 2239600 T^{6} + 231025843 T^{8} - 17739871600 T^{10} + 1404045869098 T^{12} - 109335884011420 T^{14} + 3936588805702081 T^{16} \))(\( 1 + 16 T - 440 T^{2} - 6624 T^{3} + 131636 T^{4} + 1629968 T^{5} - 29449232 T^{6} - 280328720 T^{7} + 5329291050 T^{8} + 36595065152 T^{9} - 800017753480 T^{10} - 3635275214288 T^{11} + 102057968083920 T^{12} + 258547916350832 T^{13} - 11209896420041672 T^{14} - 8808353629704256 T^{15} + 1069443829226298003 T^{16} - 783943473043678784 T^{17} - 88793589543150083912 T^{18} + \)\(18\!\cdots\!08\)\( T^{19} + \)\(64\!\cdots\!20\)\( T^{20} - \)\(20\!\cdots\!12\)\( T^{21} - \)\(39\!\cdots\!80\)\( T^{22} + \)\(16\!\cdots\!08\)\( T^{23} + \)\(20\!\cdots\!50\)\( T^{24} - \)\(98\!\cdots\!80\)\( T^{25} - \)\(91\!\cdots\!32\)\( T^{26} + \)\(45\!\cdots\!52\)\( T^{27} + \)\(32\!\cdots\!56\)\( T^{28} - \)\(14\!\cdots\!56\)\( T^{29} - \)\(86\!\cdots\!40\)\( T^{30} + \)\(27\!\cdots\!84\)\( T^{31} + \)\(15\!\cdots\!61\)\( T^{32} \))(\( 1 - 16 T - 440 T^{2} + 6624 T^{3} + 131636 T^{4} - 1629968 T^{5} - 29449232 T^{6} + 280328720 T^{7} + 5329291050 T^{8} - 36595065152 T^{9} - 800017753480 T^{10} + 3635275214288 T^{11} + 102057968083920 T^{12} - 258547916350832 T^{13} - 11209896420041672 T^{14} + 8808353629704256 T^{15} + 1069443829226298003 T^{16} + 783943473043678784 T^{17} - 88793589543150083912 T^{18} - \)\(18\!\cdots\!08\)\( T^{19} + \)\(64\!\cdots\!20\)\( T^{20} + \)\(20\!\cdots\!12\)\( T^{21} - \)\(39\!\cdots\!80\)\( T^{22} - \)\(16\!\cdots\!08\)\( T^{23} + \)\(20\!\cdots\!50\)\( T^{24} + \)\(98\!\cdots\!80\)\( T^{25} - \)\(91\!\cdots\!32\)\( T^{26} - \)\(45\!\cdots\!52\)\( T^{27} + \)\(32\!\cdots\!56\)\( T^{28} + \)\(14\!\cdots\!56\)\( T^{29} - \)\(86\!\cdots\!40\)\( T^{30} - \)\(27\!\cdots\!84\)\( T^{31} + \)\(15\!\cdots\!61\)\( T^{32} \))
$97$ (\( 1 - 2 T + 97 T^{2} \))(\( 1 + 10 T + 97 T^{2} \))(\( 1 - 10 T + 97 T^{2} \))(\( 1 - 14 T + 97 T^{2} \))(\( 1 - 2 T + 97 T^{2} \))(\( 1 - 360 T^{2} + 51038 T^{4} - 3387240 T^{6} + 88529281 T^{8} \))(\( 1 - 360 T^{2} + 51038 T^{4} - 3387240 T^{6} + 88529281 T^{8} \))(\( ( 1 + 108 T^{2} + 16246 T^{4} + 1016172 T^{6} + 88529281 T^{8} )^{2} \))(\( ( 1 + 108 T^{2} + 16246 T^{4} + 1016172 T^{6} + 88529281 T^{8} )^{2} \))(\( 1 - 94 T^{2} + 9409 T^{4} \))(\( 1 - 94 T^{2} + 9409 T^{4} \))(\( ( 1 + 16 T + 97 T^{2} )^{2} \))(\( ( 1 + 8 T + 97 T^{2} )^{2} \))(\( ( 1 - 8 T + 97 T^{2} )^{2} \))(\( ( 1 + 16 T + 97 T^{2} )^{2} \))(\( 1 - 8 T + 32 T^{2} + 1240 T^{3} + 7270 T^{4} - 77896 T^{5} + 1159328 T^{6} + 23481432 T^{7} - 27667953 T^{8} + 164181296 T^{9} + 23294478656 T^{10} + 157379895024 T^{11} - 641510857644 T^{12} + 15265849817328 T^{13} + 219177749674304 T^{14} + 149843835964208 T^{15} - 2449423985831793 T^{16} + 201643046305608024 T^{17} + 965687768530327712 T^{18} - 6293863167707090248 T^{19} + 56978142231120506470 T^{20} + \)\(94\!\cdots\!80\)\( T^{21} + \)\(23\!\cdots\!68\)\( T^{22} - \)\(57\!\cdots\!24\)\( T^{23} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 - 8 T + 32 T^{2} + 1240 T^{3} + 7270 T^{4} - 77896 T^{5} + 1159328 T^{6} + 23481432 T^{7} - 27667953 T^{8} + 164181296 T^{9} + 23294478656 T^{10} + 157379895024 T^{11} - 641510857644 T^{12} + 15265849817328 T^{13} + 219177749674304 T^{14} + 149843835964208 T^{15} - 2449423985831793 T^{16} + 201643046305608024 T^{17} + 965687768530327712 T^{18} - 6293863167707090248 T^{19} + 56978142231120506470 T^{20} + \)\(94\!\cdots\!80\)\( T^{21} + \)\(23\!\cdots\!68\)\( T^{22} - \)\(57\!\cdots\!24\)\( T^{23} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 + 28 T + 392 T^{2} + 4900 T^{3} + 61488 T^{4} + 704956 T^{5} + 7640472 T^{6} + 89011524 T^{7} + 981394654 T^{8} + 8634117828 T^{9} + 71889201048 T^{10} + 643394307388 T^{11} + 5443488430128 T^{12} + 42077967259300 T^{13} + 326525025932168 T^{14} + 2262351965387164 T^{15} + 7837433594376961 T^{16} \))(\( 1 - 28 T + 392 T^{2} - 4900 T^{3} + 61488 T^{4} - 704956 T^{5} + 7640472 T^{6} - 89011524 T^{7} + 981394654 T^{8} - 8634117828 T^{9} + 71889201048 T^{10} - 643394307388 T^{11} + 5443488430128 T^{12} - 42077967259300 T^{13} + 326525025932168 T^{14} - 2262351965387164 T^{15} + 7837433594376961 T^{16} \))(\( ( 1 - 18 T + 97 T^{2} )^{2}( 1 + 18 T + 97 T^{2} )^{2} \))(\( ( 1 - 240 T^{2} + 16752 T^{4} - 546370 T^{6} + 157619568 T^{8} - 21247027440 T^{10} + 832972004929 T^{12} )^{2} \))(\( 1 - 484 T^{2} + 116170 T^{4} - 18891668 T^{6} + 2452131295 T^{8} - 279695423560 T^{10} + 28680693351980 T^{12} - 2631654240276040 T^{14} + 217085420463948895 T^{16} - 15736230570413031572 T^{18} + \)\(91\!\cdots\!70\)\( T^{20} - \)\(35\!\cdots\!16\)\( T^{22} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 - 484 T^{2} + 116170 T^{4} - 18891668 T^{6} + 2452131295 T^{8} - 279695423560 T^{10} + 28680693351980 T^{12} - 2631654240276040 T^{14} + 217085420463948895 T^{16} - 15736230570413031572 T^{18} + \)\(91\!\cdots\!70\)\( T^{20} - \)\(35\!\cdots\!16\)\( T^{22} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( ( 1 + 13 T + 162 T^{2} + 1261 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 - 13 T + 162 T^{2} - 1261 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 + 13 T + 162 T^{2} + 1261 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 - 13 T + 162 T^{2} - 1261 T^{3} + 9409 T^{4} )^{2} \))(\( ( 1 + 232 T^{2} + 27954 T^{4} + 2182888 T^{6} + 88529281 T^{8} )^{2} \))(\( ( 1 + 232 T^{2} + 27954 T^{4} + 2182888 T^{6} + 88529281 T^{8} )^{2} \))(\( 1 - 44 T + 968 T^{2} - 15000 T^{3} + 231654 T^{4} - 3860388 T^{5} + 58116000 T^{6} - 743419588 T^{7} + 9111376513 T^{8} - 116138978204 T^{9} + 1430090287664 T^{10} - 15964265880436 T^{11} + 171574947065342 T^{12} - 1888109943974960 T^{13} + 20331243756190952 T^{14} - 203613182755137748 T^{15} + 1985416913924716484 T^{16} - 19750478727248361556 T^{17} + \)\(19\!\cdots\!68\)\( T^{18} - \)\(17\!\cdots\!80\)\( T^{19} + \)\(15\!\cdots\!02\)\( T^{20} - \)\(13\!\cdots\!52\)\( T^{21} + \)\(11\!\cdots\!56\)\( T^{22} - \)\(93\!\cdots\!52\)\( T^{23} + \)\(71\!\cdots\!93\)\( T^{24} - \)\(56\!\cdots\!96\)\( T^{25} + \)\(42\!\cdots\!00\)\( T^{26} - \)\(27\!\cdots\!64\)\( T^{27} + \)\(16\!\cdots\!14\)\( T^{28} - \)\(10\!\cdots\!00\)\( T^{29} + \)\(63\!\cdots\!92\)\( T^{30} - \)\(27\!\cdots\!92\)\( T^{31} + \)\(61\!\cdots\!21\)\( T^{32} \))(\( 1 + 44 T + 968 T^{2} + 15000 T^{3} + 231654 T^{4} + 3860388 T^{5} + 58116000 T^{6} + 743419588 T^{7} + 9111376513 T^{8} + 116138978204 T^{9} + 1430090287664 T^{10} + 15964265880436 T^{11} + 171574947065342 T^{12} + 1888109943974960 T^{13} + 20331243756190952 T^{14} + 203613182755137748 T^{15} + 1985416913924716484 T^{16} + 19750478727248361556 T^{17} + \)\(19\!\cdots\!68\)\( T^{18} + \)\(17\!\cdots\!80\)\( T^{19} + \)\(15\!\cdots\!02\)\( T^{20} + \)\(13\!\cdots\!52\)\( T^{21} + \)\(11\!\cdots\!56\)\( T^{22} + \)\(93\!\cdots\!52\)\( T^{23} + \)\(71\!\cdots\!93\)\( T^{24} + \)\(56\!\cdots\!96\)\( T^{25} + \)\(42\!\cdots\!00\)\( T^{26} + \)\(27\!\cdots\!64\)\( T^{27} + \)\(16\!\cdots\!14\)\( T^{28} + \)\(10\!\cdots\!00\)\( T^{29} + \)\(63\!\cdots\!92\)\( T^{30} + \)\(27\!\cdots\!92\)\( T^{31} + \)\(61\!\cdots\!21\)\( T^{32} \))
show more
show less