Properties

Label 400.6
Level 400
Weight 6
Dimension 12350
Nonzero newspaces 14
Sturm bound 57600
Trace bound 3

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Defining parameters

Level: \( N \) = \( 400 = 2^{4} \cdot 5^{2} \)
Weight: \( k \) = \( 6 \)
Nonzero newspaces: \( 14 \)
Sturm bound: \(57600\)
Trace bound: \(3\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{6}(\Gamma_1(400))\).

Total New Old
Modular forms 24392 12535 11857
Cusp forms 23608 12350 11258
Eisenstein series 784 185 599

Trace form

\( 12350q - 26q^{2} - 28q^{3} - 48q^{4} - 40q^{5} + 72q^{6} + 94q^{7} + 220q^{8} + 56q^{9} + O(q^{10}) \) \( 12350q - 26q^{2} - 28q^{3} - 48q^{4} - 40q^{5} + 72q^{6} + 94q^{7} + 220q^{8} + 56q^{9} - 32q^{10} - 1300q^{11} - 20q^{12} + 516q^{13} - 124q^{14} - 2892q^{15} - 912q^{16} + 954q^{17} - 3162q^{18} + 2400q^{19} - 32q^{20} + 7570q^{21} + 4396q^{22} - 3754q^{23} + 8344q^{24} - 6240q^{25} + 7288q^{26} - 7774q^{27} - 23744q^{28} - 16960q^{29} - 5504q^{30} + 4226q^{31} + 78304q^{32} + 72370q^{33} + 96668q^{34} + 2364q^{35} - 44988q^{36} - 75932q^{37} - 95848q^{38} - 63286q^{39} - 118512q^{40} - 68790q^{41} - 80384q^{42} + 4576q^{43} + 42620q^{44} + 67770q^{45} + 194788q^{46} + 150430q^{47} + 210256q^{48} + 33804q^{49} + 40328q^{50} - 141160q^{51} - 222116q^{52} - 182812q^{53} + 84232q^{54} + 9110q^{55} + 191088q^{56} + 216998q^{57} + 106752q^{58} + 211668q^{59} + 8160q^{60} - 5192q^{61} - 273896q^{62} - 267758q^{63} + 269208q^{64} - 65724q^{65} - 223156q^{66} + 159380q^{67} - 473240q^{68} + 75706q^{69} - 399560q^{70} + 563042q^{71} - 249540q^{72} + 78870q^{73} + 244100q^{74} - 156632q^{75} + 399492q^{76} - 183246q^{77} + 1146388q^{78} - 1268718q^{79} + 492848q^{80} - 290318q^{81} + 640808q^{82} - 851976q^{83} + 610688q^{84} + 362896q^{85} + 106268q^{86} + 2136530q^{87} - 655600q^{88} + 452906q^{89} - 1191512q^{90} + 1512974q^{91} - 1623440q^{92} + 391214q^{93} - 907704q^{94} - 555550q^{95} + 619272q^{96} - 1027454q^{97} + 908386q^{98} - 2738474q^{99} + O(q^{100}) \)

Decomposition of \(S_{6}^{\mathrm{new}}(\Gamma_1(400))\)

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
400.6.a \(\chi_{400}(1, \cdot)\) 400.6.a.a 1 1
400.6.a.b 1
400.6.a.c 1
400.6.a.d 1
400.6.a.e 1
400.6.a.f 1
400.6.a.g 1
400.6.a.h 1
400.6.a.i 1
400.6.a.j 1
400.6.a.k 1
400.6.a.l 1
400.6.a.m 1
400.6.a.n 1
400.6.a.o 2
400.6.a.p 2
400.6.a.q 2
400.6.a.r 2
400.6.a.s 2
400.6.a.t 2
400.6.a.u 2
400.6.a.v 2
400.6.a.w 2
400.6.a.x 3
400.6.a.y 3
400.6.a.z 4
400.6.a.ba 4
400.6.c \(\chi_{400}(49, \cdot)\) 400.6.c.a 2 1
400.6.c.b 2
400.6.c.c 2
400.6.c.d 2
400.6.c.e 2
400.6.c.f 2
400.6.c.g 2
400.6.c.h 2
400.6.c.i 2
400.6.c.j 2
400.6.c.k 2
400.6.c.l 4
400.6.c.m 4
400.6.c.n 4
400.6.c.o 4
400.6.c.p 6
400.6.d \(\chi_{400}(201, \cdot)\) None 0 1
400.6.f \(\chi_{400}(249, \cdot)\) None 0 1
400.6.j \(\chi_{400}(43, \cdot)\) n/a 356 2
400.6.l \(\chi_{400}(101, \cdot)\) n/a 374 2
400.6.n \(\chi_{400}(143, \cdot)\) 400.6.n.a 2 2
400.6.n.b 4
400.6.n.c 4
400.6.n.d 4
400.6.n.e 16
400.6.n.f 16
400.6.n.g 20
400.6.n.h 24
400.6.o \(\chi_{400}(7, \cdot)\) None 0 2
400.6.q \(\chi_{400}(149, \cdot)\) n/a 356 2
400.6.s \(\chi_{400}(107, \cdot)\) n/a 356 2
400.6.u \(\chi_{400}(81, \cdot)\) n/a 296 4
400.6.w \(\chi_{400}(9, \cdot)\) None 0 4
400.6.y \(\chi_{400}(129, \cdot)\) n/a 296 4
400.6.bb \(\chi_{400}(41, \cdot)\) None 0 4
400.6.bd \(\chi_{400}(3, \cdot)\) n/a 2384 8
400.6.be \(\chi_{400}(21, \cdot)\) n/a 2384 8
400.6.bh \(\chi_{400}(23, \cdot)\) None 0 8
400.6.bi \(\chi_{400}(47, \cdot)\) n/a 600 8
400.6.bl \(\chi_{400}(29, \cdot)\) n/a 2384 8
400.6.bm \(\chi_{400}(67, \cdot)\) n/a 2384 8

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

Decomposition of \(S_{6}^{\mathrm{old}}(\Gamma_1(400))\) into lower level spaces

\( S_{6}^{\mathrm{old}}(\Gamma_1(400)) \cong \) \(S_{6}^{\mathrm{new}}(\Gamma_1(4))\)\(^{\oplus 9}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(5))\)\(^{\oplus 10}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(8))\)\(^{\oplus 6}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(10))\)\(^{\oplus 8}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(16))\)\(^{\oplus 3}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(20))\)\(^{\oplus 6}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(25))\)\(^{\oplus 5}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(40))\)\(^{\oplus 4}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(50))\)\(^{\oplus 4}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(80))\)\(^{\oplus 2}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(100))\)\(^{\oplus 3}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(200))\)\(^{\oplus 2}\)

Hecke Characteristic Polynomials

$p$ $F_p(T)$
$2$ 1
$3$ (\( 1 + 26 T + 243 T^{2} \))(\( 1 + 18 T + 243 T^{2} \))(\( 1 + 14 T + 243 T^{2} \))(\( 1 + 12 T + 243 T^{2} \))(\( 1 + 11 T + 243 T^{2} \))(\( 1 + 8 T + 243 T^{2} \))(\( 1 + 4 T + 243 T^{2} \))(\( 1 + 2 T + 243 T^{2} \))(\( 1 - 6 T + 243 T^{2} \))(\( 1 - 11 T + 243 T^{2} \))(\( 1 - 14 T + 243 T^{2} \))(\( 1 - 20 T + 243 T^{2} \))(\( 1 - 22 T + 243 T^{2} \))(\( 1 - 24 T + 243 T^{2} \))(\( 1 + 20 T + 345 T^{2} + 4860 T^{3} + 59049 T^{4} \))(\( 1 + 20 T + 177 T^{2} + 4860 T^{3} + 59049 T^{4} \))(\( 1 + 12 T + 6 T^{2} + 2916 T^{3} + 59049 T^{4} \))(\( 1 + 8 T + 261 T^{2} + 1944 T^{3} + 59049 T^{4} \))(\( 1 + 362 T^{2} + 59049 T^{4} \))(\( 1 + 90 T^{2} + 59049 T^{4} \))(\( 1 - 8 T + 261 T^{2} - 1944 T^{3} + 59049 T^{4} \))(\( 1 - 20 T + 177 T^{2} - 4860 T^{3} + 59049 T^{4} \))(\( 1 - 20 T + 345 T^{2} - 4860 T^{3} + 59049 T^{4} \))(\( 1 + T + 288 T^{2} + 1581 T^{3} + 69984 T^{4} + 59049 T^{5} + 14348907 T^{6} \))(\( 1 - T + 288 T^{2} - 1581 T^{3} + 69984 T^{4} - 59049 T^{5} + 14348907 T^{6} \))(\( 1 + 4 T + 244 T^{2} + 3348 T^{3} + 18486 T^{4} + 813564 T^{5} + 14407956 T^{6} + 57395628 T^{7} + 3486784401 T^{8} \))(\( 1 - 4 T + 244 T^{2} - 3348 T^{3} + 18486 T^{4} - 813564 T^{5} + 14407956 T^{6} - 57395628 T^{7} + 3486784401 T^{8} \))(\( 1 + 190 T^{2} + 59049 T^{4} \))(\( 1 + 90 T^{2} + 59049 T^{4} \))(\( 1 - 2 T^{2} + 59049 T^{4} \))(\( 1 - 86 T^{2} + 59049 T^{4} \))(\( 1 - 162 T^{2} + 59049 T^{4} \))(\( 1 - 342 T^{2} + 59049 T^{4} \))(\( 1 - 365 T^{2} + 59049 T^{4} \))(\( 1 - 422 T^{2} + 59049 T^{4} \))(\( 1 - 450 T^{2} + 59049 T^{4} \))(\( 1 - 470 T^{2} + 59049 T^{4} \))(\( 1 - 482 T^{2} + 59049 T^{4} \))(\( 1 + 132 T^{2} + 48150 T^{4} + 7794468 T^{6} + 3486784401 T^{8} \))(\( 1 + 46 T^{2} - 44973 T^{4} + 2716254 T^{6} + 3486784401 T^{8} \))(\( 1 - 290 T^{2} + 42723 T^{4} - 17124210 T^{6} + 3486784401 T^{8} \))(\( 1 - 458 T^{2} + 155115 T^{4} - 27044442 T^{6} + 3486784401 T^{8} \))(\( 1 - 575 T^{2} + 219750 T^{4} - 66390939 T^{6} + 12976017750 T^{8} - 2004901030575 T^{10} + 205891132094649 T^{12} \))(\( 1 + 59049 T^{4} \))(\( 1 - 87122 T^{4} + 3486784401 T^{8} \))(\( ( 1 - 38 T + 722 T^{2} - 9234 T^{3} + 59049 T^{4} )( 1 + 38 T + 722 T^{2} + 9234 T^{3} + 59049 T^{4} ) \))(\( 1 - 108882 T^{4} + 3486784401 T^{8} \))(\( ( 1 + 23164 T^{4} - 3550080474 T^{8} + 80767873864764 T^{12} + 12157665459056928801 T^{16} )^{2} \))(\( ( 1 + 110446 T^{4} + 7498822131 T^{8} + 385101389952846 T^{12} + 12157665459056928801 T^{16} )^{2} \))(\( 1 + 4910 T^{4} + 4404762445 T^{8} + 138021311000520 T^{12} - 6849972091873491390 T^{16} + \)\(85\!\cdots\!52\)\( T^{20} - \)\(23\!\cdots\!90\)\( T^{24} + \)\(16\!\cdots\!20\)\( T^{28} + \)\(18\!\cdots\!45\)\( T^{32} + \)\(72\!\cdots\!10\)\( T^{36} + \)\(51\!\cdots\!01\)\( T^{40} \))
$5$ 1
$7$ (\( 1 + 22 T + 16807 T^{2} \))(\( 1 - 242 T + 16807 T^{2} \))(\( 1 + 158 T + 16807 T^{2} \))(\( 1 + 88 T + 16807 T^{2} \))(\( 1 + 142 T + 16807 T^{2} \))(\( 1 + 108 T + 16807 T^{2} \))(\( 1 - 192 T + 16807 T^{2} \))(\( 1 + 62 T + 16807 T^{2} \))(\( 1 + 118 T + 16807 T^{2} \))(\( 1 - 142 T + 16807 T^{2} \))(\( 1 - 158 T + 16807 T^{2} \))(\( 1 + 24 T + 16807 T^{2} \))(\( 1 - 218 T + 16807 T^{2} \))(\( 1 + 172 T + 16807 T^{2} \))(\( 1 + 200 T + 42650 T^{2} + 3361400 T^{3} + 282475249 T^{4} \))(\( 1 - 40 T + 19290 T^{2} - 672280 T^{3} + 282475249 T^{4} \))(\( 1 - 52 T + 29646 T^{2} - 873964 T^{3} + 282475249 T^{4} \))(\( 1 - 8 T + 32666 T^{2} - 134456 T^{3} + 282475249 T^{4} \))(\( 1 + 18610 T^{2} + 282475249 T^{4} \))(\( 1 + 30050 T^{2} + 282475249 T^{4} \))(\( 1 + 8 T + 32666 T^{2} + 134456 T^{3} + 282475249 T^{4} \))(\( 1 + 40 T + 19290 T^{2} + 672280 T^{3} + 282475249 T^{4} \))(\( 1 - 200 T + 42650 T^{2} - 3361400 T^{3} + 282475249 T^{4} \))(\( 1 - 70 T - 5551 T^{2} + 3221636 T^{3} - 93295657 T^{4} - 19773267430 T^{5} + 4747561509943 T^{6} \))(\( 1 + 70 T - 5551 T^{2} - 3221636 T^{3} - 93295657 T^{4} + 19773267430 T^{5} + 4747561509943 T^{6} \))(\( 1 + 148 T + 33316 T^{2} + 2108948 T^{3} + 503710694 T^{4} + 35445089036 T^{5} + 9410945395684 T^{6} + 702639103471564 T^{7} + 79792266297612001 T^{8} \))(\( 1 - 148 T + 33316 T^{2} - 2108948 T^{3} + 503710694 T^{4} - 35445089036 T^{5} + 9410945395684 T^{6} - 702639103471564 T^{7} + 79792266297612001 T^{8} \))(\( 1 - 33130 T^{2} + 282475249 T^{4} \))(\( 1 - 4030 T^{2} + 282475249 T^{4} \))(\( 1 + 13910 T^{2} + 282475249 T^{4} \))(\( 1 - 33038 T^{2} + 282475249 T^{4} \))(\( 1 + 24950 T^{2} + 282475249 T^{4} \))(\( 1 - 25870 T^{2} + 282475249 T^{4} \))(\( 1 - 13450 T^{2} + 282475249 T^{4} \))(\( 1 - 21950 T^{2} + 282475249 T^{4} \))(\( 1 - 19690 T^{2} + 282475249 T^{4} \))(\( 1 + 3250 T^{2} + 282475249 T^{4} \))(\( 1 - 29770 T^{2} + 282475249 T^{4} \))(\( 1 - 56588 T^{2} + 1352943558 T^{4} - 15984709390412 T^{6} + 79792266297612001 T^{8} \))(\( 1 - 36980 T^{2} + 883272198 T^{4} - 10445934708020 T^{6} + 79792266297612001 T^{8} \))(\( 1 - 45300 T^{2} + 1039412998 T^{4} - 12796128779700 T^{6} + 79792266297612001 T^{8} \))(\( 1 - 65268 T^{2} + 1629866758 T^{4} - 18436594551732 T^{6} + 79792266297612001 T^{8} \))(\( 1 + 16002 T^{2} + 295251327 T^{4} + 2616304552796 T^{6} + 83401192111905423 T^{8} + \)\(12\!\cdots\!02\)\( T^{10} + \)\(22\!\cdots\!49\)\( T^{12} \))(\( 1 + 282475249 T^{4} \))(\( 1 - 549771682 T^{4} + 79792266297612001 T^{8} \))(\( ( 1 - 366 T + 66978 T^{2} - 6151362 T^{3} + 282475249 T^{4} )( 1 + 366 T + 66978 T^{2} + 6151362 T^{3} + 282475249 T^{4} ) \))(\( 1 - 560853922 T^{4} + 79792266297612001 T^{8} \))(\( ( 1 - 67836068 T^{4} - 100154415105312762 T^{8} - \)\(54\!\cdots\!68\)\( T^{12} + \)\(63\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 + 180720196 T^{4} - 50145608297572794 T^{8} + \)\(14\!\cdots\!96\)\( T^{12} + \)\(63\!\cdots\!01\)\( T^{16} )^{2} \))(\( 1 - 50878370 T^{4} + 88119764714863965 T^{8} + \)\(17\!\cdots\!80\)\( T^{12} + \)\(80\!\cdots\!70\)\( T^{16} + \)\(16\!\cdots\!76\)\( T^{20} + \)\(63\!\cdots\!70\)\( T^{24} + \)\(10\!\cdots\!80\)\( T^{28} + \)\(44\!\cdots\!65\)\( T^{32} - \)\(20\!\cdots\!70\)\( T^{36} + \)\(32\!\cdots\!01\)\( T^{40} \))
$11$ (\( 1 - 768 T + 161051 T^{2} \))(\( 1 + 656 T + 161051 T^{2} \))(\( 1 - 148 T + 161051 T^{2} \))(\( 1 + 540 T + 161051 T^{2} \))(\( 1 + 777 T + 161051 T^{2} \))(\( 1 - 604 T + 161051 T^{2} \))(\( 1 - 148 T + 161051 T^{2} \))(\( 1 - 144 T + 161051 T^{2} \))(\( 1 + 192 T + 161051 T^{2} \))(\( 1 + 777 T + 161051 T^{2} \))(\( 1 - 148 T + 161051 T^{2} \))(\( 1 + 124 T + 161051 T^{2} \))(\( 1 - 480 T + 161051 T^{2} \))(\( 1 + 132 T + 161051 T^{2} \))(\( 1 - 196 T + 181081 T^{2} - 31565996 T^{3} + 25937424601 T^{4} \))(\( 1 - 60 T + 230977 T^{2} - 9663060 T^{3} + 25937424601 T^{4} \))(\( 1 + 560 T + 381926 T^{2} + 90188560 T^{3} + 25937424601 T^{4} \))(\( 1 - 200 T + 225821 T^{2} - 32210200 T^{3} + 25937424601 T^{4} \))(\( ( 1 - 100 T + 161051 T^{2} )^{2} \))(\( ( 1 + 252 T + 161051 T^{2} )^{2} \))(\( 1 - 200 T + 225821 T^{2} - 32210200 T^{3} + 25937424601 T^{4} \))(\( 1 - 60 T + 230977 T^{2} - 9663060 T^{3} + 25937424601 T^{4} \))(\( 1 - 196 T + 181081 T^{2} - 31565996 T^{3} + 25937424601 T^{4} \))(\( 1 - 19 T + 398752 T^{2} - 4577119 T^{3} + 64219408352 T^{4} - 492811067419 T^{5} + 4177248169415651 T^{6} \))(\( 1 - 19 T + 398752 T^{2} - 4577119 T^{3} + 64219408352 T^{4} - 492811067419 T^{5} + 4177248169415651 T^{6} \))(\( 1 - 368 T + 176204 T^{2} - 51158896 T^{3} + 42277949270 T^{4} - 8239191359696 T^{5} + 4570277964394604 T^{6} - 1537227326344959568 T^{7} + \)\(67\!\cdots\!01\)\( T^{8} \))(\( 1 - 368 T + 176204 T^{2} - 51158896 T^{3} + 42277949270 T^{4} - 8239191359696 T^{5} + 4570277964394604 T^{6} - 1537227326344959568 T^{7} + \)\(67\!\cdots\!01\)\( T^{8} \))(\( ( 1 - 768 T + 161051 T^{2} )^{2} \))(\( ( 1 + 132 T + 161051 T^{2} )^{2} \))(\( ( 1 - 480 T + 161051 T^{2} )^{2} \))(\( ( 1 + 124 T + 161051 T^{2} )^{2} \))(\( ( 1 + 656 T + 161051 T^{2} )^{2} \))(\( ( 1 + 540 T + 161051 T^{2} )^{2} \))(\( ( 1 + 777 T + 161051 T^{2} )^{2} \))(\( ( 1 - 604 T + 161051 T^{2} )^{2} \))(\( ( 1 + 192 T + 161051 T^{2} )^{2} \))(\( ( 1 - 148 T + 161051 T^{2} )^{2} \))(\( ( 1 - 144 T + 161051 T^{2} )^{2} \))(\( ( 1 + 560 T + 381926 T^{2} + 90188560 T^{3} + 25937424601 T^{4} )^{2} \))(\( ( 1 - 60 T + 230977 T^{2} - 9663060 T^{3} + 25937424601 T^{4} )^{2} \))(\( ( 1 - 196 T + 181081 T^{2} - 31565996 T^{3} + 25937424601 T^{4} )^{2} \))(\( ( 1 - 200 T + 225821 T^{2} - 32210200 T^{3} + 25937424601 T^{4} )^{2} \))(\( ( 1 - 19 T + 398752 T^{2} - 4577119 T^{3} + 64219408352 T^{4} - 492811067419 T^{5} + 4177248169415651 T^{6} )^{2} \))(\( ( 1 - 161051 T^{2} )^{2} \))(\( ( 1 - 306602 T^{2} + 25937424601 T^{4} )^{2} \))(\( ( 1 - 161051 T^{2} )^{4} \))(\( ( 1 - 146602 T^{2} + 25937424601 T^{4} )^{2} \))(\( ( 1 + 31060 T^{2} + 20402437782 T^{4} + 805616408107060 T^{6} + \)\(67\!\cdots\!01\)\( T^{8} )^{4} \))(\( ( 1 - 4454 T^{2} + 28029808731 T^{4} - 115525289172854 T^{6} + \)\(67\!\cdots\!01\)\( T^{8} )^{4} \))(\( ( 1 - 630250 T^{2} + 230184799605 T^{4} - 63113737617167000 T^{6} + \)\(13\!\cdots\!10\)\( T^{8} - \)\(24\!\cdots\!00\)\( T^{10} + \)\(35\!\cdots\!10\)\( T^{12} - \)\(42\!\cdots\!00\)\( T^{14} + \)\(40\!\cdots\!05\)\( T^{16} - \)\(28\!\cdots\!50\)\( T^{18} + \)\(11\!\cdots\!01\)\( T^{20} )^{2} \))
$13$ (\( 1 - 46 T + 371293 T^{2} \))(\( 1 - 206 T + 371293 T^{2} \))(\( 1 - 684 T + 371293 T^{2} \))(\( 1 - 418 T + 371293 T^{2} \))(\( 1 + 884 T + 371293 T^{2} \))(\( 1 - 306 T + 371293 T^{2} \))(\( 1 + 286 T + 371293 T^{2} \))(\( 1 - 654 T + 371293 T^{2} \))(\( 1 + 1106 T + 371293 T^{2} \))(\( 1 - 884 T + 371293 T^{2} \))(\( 1 + 684 T + 371293 T^{2} \))(\( 1 + 478 T + 371293 T^{2} \))(\( 1 - 622 T + 371293 T^{2} \))(\( 1 - 946 T + 371293 T^{2} \))(\( 1 + 360 T + 713290 T^{2} + 133665480 T^{3} + 137858491849 T^{4} \))(\( 1 - 920 T + 718602 T^{2} - 341589560 T^{3} + 137858491849 T^{4} \))(\( 1 + 1388 T + 1149918 T^{2} + 515354684 T^{3} + 137858491849 T^{4} \))(\( 1 + 592 T + 178538 T^{2} + 219805456 T^{3} + 137858491849 T^{4} \))(\( 1 + 202442 T^{2} + 137858491849 T^{4} \))(\( 1 + 728330 T^{2} + 137858491849 T^{4} \))(\( 1 - 592 T + 178538 T^{2} - 219805456 T^{3} + 137858491849 T^{4} \))(\( 1 + 920 T + 718602 T^{2} + 341589560 T^{3} + 137858491849 T^{4} \))(\( 1 - 360 T + 713290 T^{2} - 133665480 T^{3} + 137858491849 T^{4} \))(\( 1 + 196 T + 642439 T^{2} + 197315624 T^{3} + 238533103627 T^{4} + 27020264402404 T^{5} + 51185893014090757 T^{6} \))(\( 1 - 196 T + 642439 T^{2} - 197315624 T^{3} + 238533103627 T^{4} - 27020264402404 T^{5} + 51185893014090757 T^{6} \))(\( 1 - 440 T + 886036 T^{2} - 564452872 T^{3} + 392923998710 T^{4} - 209577400203496 T^{5} + 122147586683920564 T^{6} - 22521792926199933080 T^{7} + \)\(19\!\cdots\!01\)\( T^{8} \))(\( 1 + 440 T + 886036 T^{2} + 564452872 T^{3} + 392923998710 T^{4} + 209577400203496 T^{5} + 122147586683920564 T^{6} + 22521792926199933080 T^{7} + \)\(19\!\cdots\!01\)\( T^{8} \))(\( 1 - 740470 T^{2} + 137858491849 T^{4} \))(\( 1 + 152330 T^{2} + 137858491849 T^{4} \))(\( 1 - 355702 T^{2} + 137858491849 T^{4} \))(\( 1 - 514102 T^{2} + 137858491849 T^{4} \))(\( 1 - 700150 T^{2} + 137858491849 T^{4} \))(\( 1 - 567862 T^{2} + 137858491849 T^{4} \))(\( 1 + 38870 T^{2} + 137858491849 T^{4} \))(\( 1 - 648950 T^{2} + 137858491849 T^{4} \))(\( 1 + 480650 T^{2} + 137858491849 T^{4} \))(\( 1 - 660790 T^{2} + 137858491849 T^{4} \))(\( 1 - 314870 T^{2} + 137858491849 T^{4} \))(\( 1 - 373292 T^{2} + 167403787638 T^{4} - 51461472139296908 T^{6} + \)\(19\!\cdots\!01\)\( T^{8} \))(\( 1 - 590804 T^{2} + 163581027702 T^{4} - 81447348418356596 T^{6} + \)\(19\!\cdots\!01\)\( T^{8} \))(\( 1 - 1296980 T^{2} + 688260462198 T^{4} - 178799706758316020 T^{6} + \)\(19\!\cdots\!01\)\( T^{8} \))(\( 1 - 6612 T^{2} + 47343141238 T^{4} - 911520348105588 T^{6} + \)\(19\!\cdots\!01\)\( T^{8} \))(\( 1 - 1246462 T^{2} + 812446351367 T^{4} - 359332324029982276 T^{6} + \)\(11\!\cdots\!83\)\( T^{8} - \)\(23\!\cdots\!62\)\( T^{10} + \)\(26\!\cdots\!49\)\( T^{12} \))(\( ( 1 - 244 T + 371293 T^{2} )( 1 + 1194 T + 371293 T^{2} ) \))(\( ( 1 + 330 T + 54450 T^{2} + 122526690 T^{3} + 137858491849 T^{4} )^{2} \))(\( ( 1 + 137858491849 T^{4} )^{2} \))(\( ( 1 - 1390 T + 966050 T^{2} - 516097270 T^{3} + 137858491849 T^{4} )^{2} \))(\( ( 1 - 250159374044 T^{4} + \)\(43\!\cdots\!06\)\( T^{8} - \)\(47\!\cdots\!44\)\( T^{12} + \)\(36\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 - 155261704604 T^{4} + \)\(28\!\cdots\!06\)\( T^{8} - \)\(29\!\cdots\!04\)\( T^{12} + \)\(36\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 + 402 T + 80802 T^{2} + 412195466 T^{3} + 274076716325 T^{4} - 98802411059208 T^{5} + 23088035017184312 T^{6} + 33522742681396790296 T^{7} - \)\(55\!\cdots\!50\)\( T^{8} - \)\(34\!\cdots\!68\)\( T^{9} + \)\(30\!\cdots\!32\)\( T^{10} - \)\(12\!\cdots\!24\)\( T^{11} - \)\(75\!\cdots\!50\)\( T^{12} + \)\(17\!\cdots\!72\)\( T^{13} + \)\(43\!\cdots\!12\)\( T^{14} - \)\(69\!\cdots\!44\)\( T^{15} + \)\(71\!\cdots\!25\)\( T^{16} + \)\(40\!\cdots\!62\)\( T^{17} + \)\(29\!\cdots\!02\)\( T^{18} + \)\(53\!\cdots\!86\)\( T^{19} + \)\(49\!\cdots\!49\)\( T^{20} )^{2} \))
$17$ (\( 1 + 378 T + 1419857 T^{2} \))(\( 1 + 1690 T + 1419857 T^{2} \))(\( 1 - 2048 T + 1419857 T^{2} \))(\( 1 + 594 T + 1419857 T^{2} \))(\( 1 - 27 T + 1419857 T^{2} \))(\( 1 + 930 T + 1419857 T^{2} \))(\( 1 - 1678 T + 1419857 T^{2} \))(\( 1 - 1190 T + 1419857 T^{2} \))(\( 1 + 762 T + 1419857 T^{2} \))(\( 1 + 27 T + 1419857 T^{2} \))(\( 1 + 2048 T + 1419857 T^{2} \))(\( 1 - 1198 T + 1419857 T^{2} \))(\( 1 + 186 T + 1419857 T^{2} \))(\( 1 - 222 T + 1419857 T^{2} \))(\( 1 - 1490 T + 2280355 T^{2} - 2115586930 T^{3} + 2015993900449 T^{4} \))(\( 1 - 2910 T + 4897843 T^{2} - 4131783870 T^{3} + 2015993900449 T^{4} \))(\( 1 + 148 T - 795706 T^{2} + 210138836 T^{3} + 2015993900449 T^{4} \))(\( 1 - 278 T + 2797339 T^{2} - 394720246 T^{3} + 2015993900449 T^{4} \))(\( 1 + 1879458 T^{2} + 2015993900449 T^{4} \))(\( 1 + 2363810 T^{2} + 2015993900449 T^{4} \))(\( 1 + 278 T + 2797339 T^{2} + 394720246 T^{3} + 2015993900449 T^{4} \))(\( 1 + 2910 T + 4897843 T^{2} + 4131783870 T^{3} + 2015993900449 T^{4} \))(\( 1 + 1490 T + 2280355 T^{2} + 2115586930 T^{3} + 2015993900449 T^{4} \))(\( 1 - 1223 T + 2296046 T^{2} - 2818923747 T^{3} + 3260056985422 T^{4} - 2465560540249127 T^{5} + 2862423051509815793 T^{6} \))(\( 1 + 1223 T + 2296046 T^{2} + 2818923747 T^{3} + 3260056985422 T^{4} + 2465560540249127 T^{5} + 2862423051509815793 T^{6} \))(\( 1 + 672 T + 3356228 T^{2} + 3540729312 T^{3} + 5520858237894 T^{4} + 5027329298748384 T^{5} + 6766135176516146372 T^{6} + \)\(19\!\cdots\!96\)\( T^{7} + \)\(40\!\cdots\!01\)\( T^{8} \))(\( 1 - 672 T + 3356228 T^{2} - 3540729312 T^{3} + 5520858237894 T^{4} - 5027329298748384 T^{5} + 6766135176516146372 T^{6} - \)\(19\!\cdots\!96\)\( T^{7} + \)\(40\!\cdots\!01\)\( T^{8} \))(\( 1 - 2696830 T^{2} + 2015993900449 T^{4} \))(\( 1 - 2790430 T^{2} + 2015993900449 T^{4} \))(\( 1 - 2805118 T^{2} + 2015993900449 T^{4} \))(\( 1 - 1404510 T^{2} + 2015993900449 T^{4} \))(\( 1 + 16386 T^{2} + 2015993900449 T^{4} \))(\( 1 - 2486878 T^{2} + 2015993900449 T^{4} \))(\( 1 - 2838985 T^{2} + 2015993900449 T^{4} \))(\( 1 - 1974814 T^{2} + 2015993900449 T^{4} \))(\( 1 - 2259070 T^{2} + 2015993900449 T^{4} \))(\( 1 - 24030 T^{2} + 2015993900449 T^{4} \))(\( 1 - 1423614 T^{2} + 2015993900449 T^{4} \))(\( 1 + 1613316 T^{2} + 4602934743878 T^{4} + 3252435215496778884 T^{6} + \)\(40\!\cdots\!01\)\( T^{8} \))(\( 1 - 1327586 T^{2} + 3973871730147 T^{4} - 2676405278321486114 T^{6} + \)\(40\!\cdots\!01\)\( T^{8} \))(\( 1 - 2340610 T^{2} + 2927557675523 T^{4} - 4718655483329933890 T^{6} + \)\(40\!\cdots\!01\)\( T^{8} \))(\( 1 - 5517394 T^{2} + 11637628825043 T^{4} - 11123032650373909906 T^{6} + \)\(40\!\cdots\!01\)\( T^{8} \))(\( 1 - 3096363 T^{2} + 4896853719798 T^{4} - 6718235532470229759 T^{6} + \)\(98\!\cdots\!02\)\( T^{8} - \)\(12\!\cdots\!63\)\( T^{10} + \)\(81\!\cdots\!49\)\( T^{12} \))(\( ( 1 - 2242 T + 1419857 T^{2} )( 1 - 808 T + 1419857 T^{2} ) \))(\( ( 1 + 2530 T + 3200450 T^{2} + 3592238210 T^{3} + 2015993900449 T^{4} )^{2} \))(\( ( 1 + 2015993900449 T^{4} )^{2} \))(\( ( 1 - 190 T + 18050 T^{2} - 269772830 T^{3} + 2015993900449 T^{4} )^{2} \))(\( ( 1 - 6037484595068 T^{4} + \)\(17\!\cdots\!58\)\( T^{8} - \)\(24\!\cdots\!68\)\( T^{12} + \)\(16\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 + 1921218486046 T^{4} + \)\(22\!\cdots\!31\)\( T^{8} + \)\(78\!\cdots\!46\)\( T^{12} + \)\(16\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 - 1118 T + 624962 T^{2} - 1188702526 T^{3} - 1739300659939 T^{4} + 3459207301051384 T^{5} - 2073890095879259656 T^{6} + \)\(50\!\cdots\!88\)\( T^{7} + \)\(54\!\cdots\!26\)\( T^{8} - \)\(82\!\cdots\!84\)\( T^{9} + \)\(52\!\cdots\!56\)\( T^{10} - \)\(11\!\cdots\!88\)\( T^{11} + \)\(10\!\cdots\!74\)\( T^{12} + \)\(14\!\cdots\!84\)\( T^{13} - \)\(84\!\cdots\!56\)\( T^{14} + \)\(19\!\cdots\!88\)\( T^{15} - \)\(14\!\cdots\!11\)\( T^{16} - \)\(13\!\cdots\!18\)\( T^{17} + \)\(10\!\cdots\!62\)\( T^{18} - \)\(26\!\cdots\!26\)\( T^{19} + \)\(33\!\cdots\!49\)\( T^{20} )^{2} \))
$19$ (\( 1 + 1100 T + 2476099 T^{2} \))(\( 1 - 1364 T + 2476099 T^{2} \))(\( 1 + 2220 T + 2476099 T^{2} \))(\( 1 + 836 T + 2476099 T^{2} \))(\( 1 + 1145 T + 2476099 T^{2} \))(\( 1 - 1324 T + 2476099 T^{2} \))(\( 1 + 1060 T + 2476099 T^{2} \))(\( 1 + 556 T + 2476099 T^{2} \))(\( 1 - 2740 T + 2476099 T^{2} \))(\( 1 + 1145 T + 2476099 T^{2} \))(\( 1 + 2220 T + 2476099 T^{2} \))(\( 1 + 3044 T + 2476099 T^{2} \))(\( 1 - 1204 T + 2476099 T^{2} \))(\( 1 + 500 T + 2476099 T^{2} \))(\( 1 - 3180 T + 7185073 T^{2} - 7873994820 T^{3} + 6131066257801 T^{4} \))(\( 1 + 2092 T + 5218089 T^{2} + 5179999108 T^{3} + 6131066257801 T^{4} \))(\( 1 - 1000 T + 4533462 T^{2} - 2476099000 T^{3} + 6131066257801 T^{4} \))(\( 1 - 840 T + 4289677 T^{2} - 2079923160 T^{3} + 6131066257801 T^{4} \))(\( ( 1 - 2244 T + 2476099 T^{2} )^{2} \))(\( ( 1 + 220 T + 2476099 T^{2} )^{2} \))(\( 1 - 840 T + 4289677 T^{2} - 2079923160 T^{3} + 6131066257801 T^{4} \))(\( 1 + 2092 T + 5218089 T^{2} + 5179999108 T^{3} + 6131066257801 T^{4} \))(\( 1 - 3180 T + 7185073 T^{2} - 7873994820 T^{3} + 6131066257801 T^{4} \))(\( 1 + 1221 T + 2478936 T^{2} - 986654423 T^{3} + 6138090950664 T^{4} + 7486031900775021 T^{5} + 15181127029874798299 T^{6} \))(\( 1 + 1221 T + 2478936 T^{2} - 986654423 T^{3} + 6138090950664 T^{4} + 7486031900775021 T^{5} + 15181127029874798299 T^{6} \))(\( 1 - 688 T + 5308396 T^{2} - 6058136368 T^{3} + 15069081422710 T^{4} - 15000545402668432 T^{5} + 32546127598645797196 T^{6} - \)\(10\!\cdots\!12\)\( T^{7} + \)\(37\!\cdots\!01\)\( T^{8} \))(\( 1 - 688 T + 5308396 T^{2} - 6058136368 T^{3} + 15069081422710 T^{4} - 15000545402668432 T^{5} + 32546127598645797196 T^{6} - \)\(10\!\cdots\!12\)\( T^{7} + \)\(37\!\cdots\!01\)\( T^{8} \))(\( ( 1 - 1100 T + 2476099 T^{2} )^{2} \))(\( ( 1 - 500 T + 2476099 T^{2} )^{2} \))(\( ( 1 + 1204 T + 2476099 T^{2} )^{2} \))(\( ( 1 - 3044 T + 2476099 T^{2} )^{2} \))(\( ( 1 + 1364 T + 2476099 T^{2} )^{2} \))(\( ( 1 - 836 T + 2476099 T^{2} )^{2} \))(\( ( 1 - 1145 T + 2476099 T^{2} )^{2} \))(\( ( 1 + 1324 T + 2476099 T^{2} )^{2} \))(\( ( 1 + 2740 T + 2476099 T^{2} )^{2} \))(\( ( 1 - 1060 T + 2476099 T^{2} )^{2} \))(\( ( 1 - 556 T + 2476099 T^{2} )^{2} \))(\( ( 1 + 1000 T + 4533462 T^{2} + 2476099000 T^{3} + 6131066257801 T^{4} )^{2} \))(\( ( 1 - 2092 T + 5218089 T^{2} - 5179999108 T^{3} + 6131066257801 T^{4} )^{2} \))(\( ( 1 + 3180 T + 7185073 T^{2} + 7873994820 T^{3} + 6131066257801 T^{4} )^{2} \))(\( ( 1 + 840 T + 4289677 T^{2} + 2079923160 T^{3} + 6131066257801 T^{4} )^{2} \))(\( ( 1 - 1221 T + 2478936 T^{2} + 986654423 T^{3} + 6138090950664 T^{4} - 7486031900775021 T^{5} + 15181127029874798299 T^{6} )^{2} \))(\( ( 1 + 2476099 T^{2} )^{2} \))(\( ( 1 - 2549802 T^{2} + 6131066257801 T^{4} )^{2} \))(\( ( 1 + 2476099 T^{2} )^{4} \))(\( ( 1 + 4250198 T^{2} + 6131066257801 T^{4} )^{2} \))(\( ( 1 + 9272140 T^{2} + 33750421604022 T^{4} + 56848104691606964140 T^{6} + \)\(37\!\cdots\!01\)\( T^{8} )^{4} \))(\( ( 1 + 2586646 T^{2} + 9904166897931 T^{4} + 15858898011475925446 T^{6} + \)\(37\!\cdots\!01\)\( T^{8} )^{4} \))(\( ( 1 + 8249550 T^{2} + 36376777568405 T^{4} + \)\(13\!\cdots\!00\)\( T^{6} + \)\(42\!\cdots\!10\)\( T^{8} + \)\(11\!\cdots\!00\)\( T^{10} + \)\(26\!\cdots\!10\)\( T^{12} + \)\(49\!\cdots\!00\)\( T^{14} + \)\(83\!\cdots\!05\)\( T^{16} + \)\(11\!\cdots\!50\)\( T^{18} + \)\(86\!\cdots\!01\)\( T^{20} )^{2} \))
$23$ (\( 1 + 1986 T + 6436343 T^{2} \))(\( 1 - 2198 T + 6436343 T^{2} \))(\( 1 - 1246 T + 6436343 T^{2} \))(\( 1 + 4104 T + 6436343 T^{2} \))(\( 1 - 1854 T + 6436343 T^{2} \))(\( 1 + 852 T + 6436343 T^{2} \))(\( 1 - 2976 T + 6436343 T^{2} \))(\( 1 - 2182 T + 6436343 T^{2} \))(\( 1 - 1566 T + 6436343 T^{2} \))(\( 1 + 1854 T + 6436343 T^{2} \))(\( 1 + 1246 T + 6436343 T^{2} \))(\( 1 - 184 T + 6436343 T^{2} \))(\( 1 + 3186 T + 6436343 T^{2} \))(\( 1 - 3564 T + 6436343 T^{2} \))(\( 1 + 1560 T + 13472410 T^{2} + 10040695080 T^{3} + 41426511213649 T^{4} \))(\( 1 + 120 T + 5087290 T^{2} + 772361160 T^{3} + 41426511213649 T^{4} \))(\( 1 + 2452 T + 6569198 T^{2} + 15781913036 T^{3} + 41426511213649 T^{4} \))(\( 1 - 1952 T + 11510698 T^{2} - 12563741536 T^{3} + 41426511213649 T^{4} \))(\( 1 + 1185810 T^{2} + 41426511213649 T^{4} \))(\( 1 + 6946370 T^{2} + 41426511213649 T^{4} \))(\( 1 + 1952 T + 11510698 T^{2} + 12563741536 T^{3} + 41426511213649 T^{4} \))(\( 1 - 120 T + 5087290 T^{2} - 772361160 T^{3} + 41426511213649 T^{4} \))(\( 1 - 1560 T + 13472410 T^{2} - 10040695080 T^{3} + 41426511213649 T^{4} \))(\( 1 - 2490 T + 1075617 T^{2} + 18384852604 T^{3} + 6923039948631 T^{4} - 103152012921986010 T^{5} + \)\(26\!\cdots\!07\)\( T^{6} \))(\( 1 + 2490 T + 1075617 T^{2} - 18384852604 T^{3} + 6923039948631 T^{4} + 103152012921986010 T^{5} + \)\(26\!\cdots\!07\)\( T^{6} \))(\( 1 + 4492 T + 27426980 T^{2} + 79192657228 T^{3} + 264562508116390 T^{4} + 509711105000837204 T^{5} + \)\(11\!\cdots\!20\)\( T^{6} + \)\(11\!\cdots\!44\)\( T^{7} + \)\(17\!\cdots\!01\)\( T^{8} \))(\( 1 - 4492 T + 27426980 T^{2} - 79192657228 T^{3} + 264562508116390 T^{4} - 509711105000837204 T^{5} + \)\(11\!\cdots\!20\)\( T^{6} - \)\(11\!\cdots\!44\)\( T^{7} + \)\(17\!\cdots\!01\)\( T^{8} \))(\( 1 - 8928490 T^{2} + 41426511213649 T^{4} \))(\( 1 - 170590 T^{2} + 41426511213649 T^{4} \))(\( 1 - 2722090 T^{2} + 41426511213649 T^{4} \))(\( 1 - 12838830 T^{2} + 41426511213649 T^{4} \))(\( 1 - 8041482 T^{2} + 41426511213649 T^{4} \))(\( 1 + 3970130 T^{2} + 41426511213649 T^{4} \))(\( 1 - 9435370 T^{2} + 41426511213649 T^{4} \))(\( 1 - 12146782 T^{2} + 41426511213649 T^{4} \))(\( 1 - 10420330 T^{2} + 41426511213649 T^{4} \))(\( 1 - 4016110 T^{2} + 41426511213649 T^{4} \))(\( 1 - 8111562 T^{2} + 41426511213649 T^{4} \))(\( 1 - 7126092 T^{2} + 48612883261958 T^{4} - \)\(29\!\cdots\!08\)\( T^{6} + \)\(17\!\cdots\!01\)\( T^{8} \))(\( 1 - 10160180 T^{2} + 108548175292998 T^{4} - \)\(42\!\cdots\!20\)\( T^{6} + \)\(17\!\cdots\!01\)\( T^{8} \))(\( 1 - 24511220 T^{2} + 233031884985798 T^{4} - \)\(10\!\cdots\!80\)\( T^{6} + \)\(17\!\cdots\!01\)\( T^{8} \))(\( 1 - 19211092 T^{2} + 166300343917958 T^{4} - \)\(79\!\cdots\!08\)\( T^{6} + \)\(17\!\cdots\!01\)\( T^{8} \))(\( 1 + 4048866 T^{2} + 106559597795871 T^{4} + \)\(30\!\cdots\!48\)\( T^{6} + \)\(44\!\cdots\!79\)\( T^{8} + \)\(69\!\cdots\!66\)\( T^{10} + \)\(71\!\cdots\!49\)\( T^{12} \))(\( 1 + 41426511213649 T^{4} \))(\( 1 + 68424579426718 T^{4} + \)\(17\!\cdots\!01\)\( T^{8} \))(\( ( 1 - 4838 T + 11703122 T^{2} - 31139027434 T^{3} + 41426511213649 T^{4} )( 1 + 4838 T + 11703122 T^{2} + 31139027434 T^{3} + 41426511213649 T^{4} ) \))(\( 1 - 82817669402722 T^{4} + \)\(17\!\cdots\!01\)\( T^{8} \))(\( ( 1 - 80334877894436 T^{4} + \)\(38\!\cdots\!26\)\( T^{8} - \)\(13\!\cdots\!36\)\( T^{12} + \)\(29\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 + 22923744753796 T^{4} - \)\(25\!\cdots\!94\)\( T^{8} + \)\(39\!\cdots\!96\)\( T^{12} + \)\(29\!\cdots\!01\)\( T^{16} )^{2} \))(\( 1 - 207859623483490 T^{4} + \)\(17\!\cdots\!45\)\( T^{8} - \)\(53\!\cdots\!80\)\( T^{12} - \)\(11\!\cdots\!90\)\( T^{16} + \)\(13\!\cdots\!52\)\( T^{20} - \)\(19\!\cdots\!90\)\( T^{24} - \)\(15\!\cdots\!80\)\( T^{28} + \)\(86\!\cdots\!45\)\( T^{32} - \)\(18\!\cdots\!90\)\( T^{36} + \)\(14\!\cdots\!01\)\( T^{40} \))
$29$ (\( 1 + 5610 T + 20511149 T^{2} \))(\( 1 + 2218 T + 20511149 T^{2} \))(\( 1 + 270 T + 20511149 T^{2} \))(\( 1 + 594 T + 20511149 T^{2} \))(\( 1 + 4920 T + 20511149 T^{2} \))(\( 1 - 5902 T + 20511149 T^{2} \))(\( 1 + 3410 T + 20511149 T^{2} \))(\( 1 + 1578 T + 20511149 T^{2} \))(\( 1 - 5910 T + 20511149 T^{2} \))(\( 1 + 4920 T + 20511149 T^{2} \))(\( 1 + 270 T + 20511149 T^{2} \))(\( 1 + 3282 T + 20511149 T^{2} \))(\( 1 - 5526 T + 20511149 T^{2} \))(\( 1 - 2190 T + 20511149 T^{2} \))(\( 1 + 3920 T + 44478298 T^{2} + 80403704080 T^{3} + 420707233300201 T^{4} \))(\( 1 - 3552 T + 20618074 T^{2} - 72855601248 T^{3} + 420707233300201 T^{4} \))(\( 1 - 1340 T - 8758306 T^{2} - 27484939660 T^{3} + 420707233300201 T^{4} \))(\( 1 + 4680 T + 41219034 T^{2} + 95992177320 T^{3} + 420707233300201 T^{4} \))(\( ( 1 + 7854 T + 20511149 T^{2} )^{2} \))(\( ( 1 - 6930 T + 20511149 T^{2} )^{2} \))(\( 1 + 4680 T + 41219034 T^{2} + 95992177320 T^{3} + 420707233300201 T^{4} \))(\( 1 - 3552 T + 20618074 T^{2} - 72855601248 T^{3} + 420707233300201 T^{4} \))(\( 1 + 3920 T + 44478298 T^{2} + 80403704080 T^{3} + 420707233300201 T^{4} \))(\( 1 - 11912 T + 107337223 T^{2} - 544650638288 T^{3} + 2201609774199227 T^{4} - 5011464563071994312 T^{5} + \)\(86\!\cdots\!49\)\( T^{6} \))(\( 1 - 11912 T + 107337223 T^{2} - 544650638288 T^{3} + 2201609774199227 T^{4} - 5011464563071994312 T^{5} + \)\(86\!\cdots\!49\)\( T^{6} \))(\( 1 + 2936 T + 58625996 T^{2} + 77951973928 T^{3} + 1466411094282230 T^{4} + 1598884552081323272 T^{5} + \)\(24\!\cdots\!96\)\( T^{6} + \)\(25\!\cdots\!64\)\( T^{7} + \)\(17\!\cdots\!01\)\( T^{8} \))(\( 1 + 2936 T + 58625996 T^{2} + 77951973928 T^{3} + 1466411094282230 T^{4} + 1598884552081323272 T^{5} + \)\(24\!\cdots\!96\)\( T^{6} + \)\(25\!\cdots\!64\)\( T^{7} + \)\(17\!\cdots\!01\)\( T^{8} \))(\( ( 1 - 5610 T + 20511149 T^{2} )^{2} \))(\( ( 1 + 2190 T + 20511149 T^{2} )^{2} \))(\( ( 1 + 5526 T + 20511149 T^{2} )^{2} \))(\( ( 1 - 3282 T + 20511149 T^{2} )^{2} \))(\( ( 1 - 2218 T + 20511149 T^{2} )^{2} \))(\( ( 1 - 594 T + 20511149 T^{2} )^{2} \))(\( ( 1 - 4920 T + 20511149 T^{2} )^{2} \))(\( ( 1 + 5902 T + 20511149 T^{2} )^{2} \))(\( ( 1 + 5910 T + 20511149 T^{2} )^{2} \))(\( ( 1 - 3410 T + 20511149 T^{2} )^{2} \))(\( ( 1 - 1578 T + 20511149 T^{2} )^{2} \))(\( ( 1 + 1340 T - 8758306 T^{2} + 27484939660 T^{3} + 420707233300201 T^{4} )^{2} \))(\( ( 1 + 3552 T + 20618074 T^{2} + 72855601248 T^{3} + 420707233300201 T^{4} )^{2} \))(\( ( 1 - 3920 T + 44478298 T^{2} - 80403704080 T^{3} + 420707233300201 T^{4} )^{2} \))(\( ( 1 - 4680 T + 41219034 T^{2} - 95992177320 T^{3} + 420707233300201 T^{4} )^{2} \))(\( ( 1 + 11912 T + 107337223 T^{2} + 544650638288 T^{3} + 2201609774199227 T^{4} + 5011464563071994312 T^{5} + \)\(86\!\cdots\!49\)\( T^{6} )^{2} \))(\( ( 1 - 2950 T + 20511149 T^{2} )( 1 + 2950 T + 20511149 T^{2} ) \))(\( ( 1 - 34283082 T^{2} + 420707233300201 T^{4} )^{2} \))(\( ( 1 - 38179702 T^{2} + 420707233300201 T^{4} )^{2} \))(\( ( 1 - 32750922 T^{2} + 420707233300201 T^{4} )^{2} \))(\( ( 1 - 44742764 T^{2} + 1122272315918646 T^{4} - \)\(18\!\cdots\!64\)\( T^{6} + \)\(17\!\cdots\!01\)\( T^{8} )^{4} \))(\( ( 1 - 51116204 T^{2} + 1399753903604406 T^{4} - \)\(21\!\cdots\!04\)\( T^{6} + \)\(17\!\cdots\!01\)\( T^{8} )^{4} \))(\( ( 1 - 99799410 T^{2} + 5177263888867445 T^{4} - \)\(18\!\cdots\!20\)\( T^{6} + \)\(49\!\cdots\!10\)\( T^{8} - \)\(10\!\cdots\!52\)\( T^{10} + \)\(20\!\cdots\!10\)\( T^{12} - \)\(32\!\cdots\!20\)\( T^{14} + \)\(38\!\cdots\!45\)\( T^{16} - \)\(31\!\cdots\!10\)\( T^{18} + \)\(13\!\cdots\!01\)\( T^{20} )^{2} \))
$31$ (\( 1 - 3988 T + 28629151 T^{2} \))(\( 1 - 1700 T + 28629151 T^{2} \))(\( 1 - 2048 T + 28629151 T^{2} \))(\( 1 + 4256 T + 28629151 T^{2} \))(\( 1 + 1802 T + 28629151 T^{2} \))(\( 1 - 3320 T + 28629151 T^{2} \))(\( 1 - 2448 T + 28629151 T^{2} \))(\( 1 + 9660 T + 28629151 T^{2} \))(\( 1 - 6868 T + 28629151 T^{2} \))(\( 1 + 1802 T + 28629151 T^{2} \))(\( 1 - 2048 T + 28629151 T^{2} \))(\( 1 - 5728 T + 28629151 T^{2} \))(\( 1 + 9356 T + 28629151 T^{2} \))(\( 1 + 2312 T + 28629151 T^{2} \))(\( 1 - 1096 T - 15343894 T^{2} - 31377549496 T^{3} + 819628286980801 T^{4} \))(\( 1 - 8888 T + 67804938 T^{2} - 254455894088 T^{3} + 819628286980801 T^{4} \))(\( 1 - 2248 T + 57017022 T^{2} - 64358331448 T^{3} + 819628286980801 T^{4} \))(\( 1 - 5008 T + 33327162 T^{2} - 143374788208 T^{3} + 819628286980801 T^{4} \))(\( ( 1 - 2144 T + 28629151 T^{2} )^{2} \))(\( ( 1 + 6752 T + 28629151 T^{2} )^{2} \))(\( 1 - 5008 T + 33327162 T^{2} - 143374788208 T^{3} + 819628286980801 T^{4} \))(\( 1 - 8888 T + 67804938 T^{2} - 254455894088 T^{3} + 819628286980801 T^{4} \))(\( 1 - 1096 T - 15343894 T^{2} - 31377549496 T^{3} + 819628286980801 T^{4} \))(\( 1 + 7442 T + 82803193 T^{2} + 411681472084 T^{3} + 2370585115679143 T^{4} + 6099673711711121042 T^{5} + \)\(23\!\cdots\!51\)\( T^{6} \))(\( 1 + 7442 T + 82803193 T^{2} + 411681472084 T^{3} + 2370585115679143 T^{4} + 6099673711711121042 T^{5} + \)\(23\!\cdots\!51\)\( T^{6} \))(\( 1 + 2112 T + 80187004 T^{2} + 163080265536 T^{3} + 3196344720873606 T^{4} + 4668849547150239936 T^{5} + \)\(65\!\cdots\!04\)\( T^{6} + \)\(49\!\cdots\!12\)\( T^{7} + \)\(67\!\cdots\!01\)\( T^{8} \))(\( 1 + 2112 T + 80187004 T^{2} + 163080265536 T^{3} + 3196344720873606 T^{4} + 4668849547150239936 T^{5} + \)\(65\!\cdots\!04\)\( T^{6} + \)\(49\!\cdots\!12\)\( T^{7} + \)\(67\!\cdots\!01\)\( T^{8} \))(\( ( 1 - 3988 T + 28629151 T^{2} )^{2} \))(\( ( 1 + 2312 T + 28629151 T^{2} )^{2} \))(\( ( 1 + 9356 T + 28629151 T^{2} )^{2} \))(\( ( 1 - 5728 T + 28629151 T^{2} )^{2} \))(\( ( 1 - 1700 T + 28629151 T^{2} )^{2} \))(\( ( 1 + 4256 T + 28629151 T^{2} )^{2} \))(\( ( 1 + 1802 T + 28629151 T^{2} )^{2} \))(\( ( 1 - 3320 T + 28629151 T^{2} )^{2} \))(\( ( 1 - 6868 T + 28629151 T^{2} )^{2} \))(\( ( 1 - 2448 T + 28629151 T^{2} )^{2} \))(\( ( 1 + 9660 T + 28629151 T^{2} )^{2} \))(\( ( 1 - 2248 T + 57017022 T^{2} - 64358331448 T^{3} + 819628286980801 T^{4} )^{2} \))(\( ( 1 - 8888 T + 67804938 T^{2} - 254455894088 T^{3} + 819628286980801 T^{4} )^{2} \))(\( ( 1 - 1096 T - 15343894 T^{2} - 31377549496 T^{3} + 819628286980801 T^{4} )^{2} \))(\( ( 1 - 5008 T + 33327162 T^{2} - 143374788208 T^{3} + 819628286980801 T^{4} )^{2} \))(\( ( 1 + 7442 T + 82803193 T^{2} + 411681472084 T^{3} + 2370585115679143 T^{4} + 6099673711711121042 T^{5} + \)\(23\!\cdots\!51\)\( T^{6} )^{2} \))(\( ( 1 - 28629151 T^{2} )^{2} \))(\( ( 1 - 6898802 T^{2} + 819628286980801 T^{4} )^{2} \))(\( ( 1 - 28629151 T^{2} )^{4} \))(\( ( 1 + 35581198 T^{2} + 819628286980801 T^{4} )^{2} \))(\( ( 1 - 51929980 T^{2} + 2304780488109702 T^{4} - \)\(42\!\cdots\!80\)\( T^{6} + \)\(67\!\cdots\!01\)\( T^{8} )^{4} \))(\( ( 1 - 41997604 T^{2} + 1911920659396806 T^{4} - \)\(34\!\cdots\!04\)\( T^{6} + \)\(67\!\cdots\!01\)\( T^{8} )^{4} \))(\( ( 1 - 101180050 T^{2} + 5842226806223805 T^{4} - \)\(25\!\cdots\!00\)\( T^{6} + \)\(95\!\cdots\!10\)\( T^{8} - \)\(29\!\cdots\!00\)\( T^{10} + \)\(77\!\cdots\!10\)\( T^{12} - \)\(17\!\cdots\!00\)\( T^{14} + \)\(32\!\cdots\!05\)\( T^{16} - \)\(45\!\cdots\!50\)\( T^{18} + \)\(36\!\cdots\!01\)\( T^{20} )^{2} \))
$37$ (\( 1 - 142 T + 69343957 T^{2} \))(\( 1 - 846 T + 69343957 T^{2} \))(\( 1 + 4372 T + 69343957 T^{2} \))(\( 1 - 298 T + 69343957 T^{2} \))(\( 1 + 13178 T + 69343957 T^{2} \))(\( 1 + 10774 T + 69343957 T^{2} \))(\( 1 + 182 T + 69343957 T^{2} \))(\( 1 - 3534 T + 69343957 T^{2} \))(\( 1 - 5518 T + 69343957 T^{2} \))(\( 1 - 13178 T + 69343957 T^{2} \))(\( 1 - 4372 T + 69343957 T^{2} \))(\( 1 + 10326 T + 69343957 T^{2} \))(\( 1 + 5618 T + 69343957 T^{2} \))(\( 1 - 11242 T + 69343957 T^{2} \))(\( 1 - 2020 T + 130823790 T^{2} - 140074793140 T^{3} + 4808584372417849 T^{4} \))(\( 1 - 12140 T + 90486990 T^{2} - 841835637980 T^{3} + 4808584372417849 T^{4} \))(\( 1 - 5940 T + 123434318 T^{2} - 411903104580 T^{3} + 4808584372417849 T^{4} \))(\( 1 - 12500 T + 121294718 T^{2} - 866799462500 T^{3} + 4808584372417849 T^{4} \))(\( 1 + 30515770 T^{2} + 4808584372417849 T^{4} \))(\( 1 - 56462470 T^{2} + 4808584372417849 T^{4} \))(\( 1 + 12500 T + 121294718 T^{2} + 866799462500 T^{3} + 4808584372417849 T^{4} \))(\( 1 + 12140 T + 90486990 T^{2} + 841835637980 T^{3} + 4808584372417849 T^{4} \))(\( 1 + 2020 T + 130823790 T^{2} + 140074793140 T^{3} + 4808584372417849 T^{4} \))(\( 1 - 14766 T + 175309995 T^{2} - 1612649497908 T^{3} + 12156688754950215 T^{4} - 71003556843121958334 T^{5} + \)\(33\!\cdots\!93\)\( T^{6} \))(\( 1 + 14766 T + 175309995 T^{2} + 1612649497908 T^{3} + 12156688754950215 T^{4} + 71003556843121958334 T^{5} + \)\(33\!\cdots\!93\)\( T^{6} \))(\( 1 - 8792 T + 164536948 T^{2} - 653354012200 T^{3} + 11523689002604438 T^{4} - 45306152527774275400 T^{5} + \)\(79\!\cdots\!52\)\( T^{6} - \)\(29\!\cdots\!56\)\( T^{7} + \)\(23\!\cdots\!01\)\( T^{8} \))(\( 1 + 8792 T + 164536948 T^{2} + 653354012200 T^{3} + 11523689002604438 T^{4} + 45306152527774275400 T^{5} + \)\(79\!\cdots\!52\)\( T^{6} + \)\(29\!\cdots\!56\)\( T^{7} + \)\(23\!\cdots\!01\)\( T^{8} \))(\( 1 - 138667750 T^{2} + 4808584372417849 T^{4} \))(\( 1 - 12305350 T^{2} + 4808584372417849 T^{4} \))(\( 1 - 107125990 T^{2} + 4808584372417849 T^{4} \))(\( 1 - 32061638 T^{2} + 4808584372417849 T^{4} \))(\( 1 - 137972198 T^{2} + 4808584372417849 T^{4} \))(\( 1 - 138599110 T^{2} + 4808584372417849 T^{4} \))(\( 1 + 34971770 T^{2} + 4808584372417849 T^{4} \))(\( 1 - 22608838 T^{2} + 4808584372417849 T^{4} \))(\( 1 - 108239590 T^{2} + 4808584372417849 T^{4} \))(\( 1 - 138654790 T^{2} + 4808584372417849 T^{4} \))(\( 1 - 126198758 T^{2} + 4808584372417849 T^{4} \))(\( 1 - 211585036 T^{2} + 19959790722550422 T^{4} - \)\(10\!\cdots\!64\)\( T^{6} + \)\(23\!\cdots\!01\)\( T^{8} \))(\( 1 - 33594380 T^{2} - 2634705186058602 T^{4} - \)\(16\!\cdots\!20\)\( T^{6} + \)\(23\!\cdots\!01\)\( T^{8} \))(\( 1 - 257567180 T^{2} + 26166130610514198 T^{4} - \)\(12\!\cdots\!20\)\( T^{6} + \)\(23\!\cdots\!01\)\( T^{8} \))(\( 1 - 86339436 T^{2} + 2659590797035222 T^{4} - \)\(41\!\cdots\!64\)\( T^{6} + \)\(23\!\cdots\!01\)\( T^{8} \))(\( 1 - 132585234 T^{2} + 7422206884581399 T^{4} - \)\(23\!\cdots\!84\)\( T^{6} + \)\(35\!\cdots\!51\)\( T^{8} - \)\(30\!\cdots\!34\)\( T^{10} + \)\(11\!\cdots\!49\)\( T^{12} \))(\( ( 1 - 12242 T + 69343957 T^{2} )( 1 + 11292 T + 69343957 T^{2} ) \))(\( ( 1 + 2770 T + 3836450 T^{2} + 192082760890 T^{3} + 4808584372417849 T^{4} )^{2} \))(\( ( 1 + 4808584372417849 T^{4} )^{2} \))(\( ( 1 - 10310 T + 53148050 T^{2} - 714936196670 T^{3} + 4808584372417849 T^{4} )^{2} \))(\( ( 1 - 17319537252641564 T^{4} + \)\(12\!\cdots\!26\)\( T^{8} - \)\(40\!\cdots\!64\)\( T^{12} + \)\(53\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 - 7294994523448604 T^{4} + \)\(58\!\cdots\!06\)\( T^{8} - \)\(16\!\cdots\!04\)\( T^{12} + \)\(53\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 + 22130 T + 244868450 T^{2} + 1308308732410 T^{3} + 13809729158765845 T^{4} + \)\(24\!\cdots\!80\)\( T^{5} + \)\(28\!\cdots\!00\)\( T^{6} + \)\(15\!\cdots\!60\)\( T^{7} + \)\(10\!\cdots\!10\)\( T^{8} + \)\(15\!\cdots\!80\)\( T^{9} + \)\(18\!\cdots\!00\)\( T^{10} + \)\(10\!\cdots\!60\)\( T^{11} + \)\(50\!\cdots\!90\)\( T^{12} + \)\(51\!\cdots\!80\)\( T^{13} + \)\(64\!\cdots\!00\)\( T^{14} + \)\(38\!\cdots\!60\)\( T^{15} + \)\(15\!\cdots\!05\)\( T^{16} + \)\(10\!\cdots\!30\)\( T^{17} + \)\(13\!\cdots\!50\)\( T^{18} + \)\(82\!\cdots\!10\)\( T^{19} + \)\(25\!\cdots\!49\)\( T^{20} )^{2} \))
$41$ (\( 1 - 1542 T + 115856201 T^{2} \))(\( 1 + 1818 T + 115856201 T^{2} \))(\( 1 + 2398 T + 115856201 T^{2} \))(\( 1 - 17226 T + 115856201 T^{2} \))(\( 1 + 15123 T + 115856201 T^{2} \))(\( 1 + 17958 T + 115856201 T^{2} \))(\( 1 + 9398 T + 115856201 T^{2} \))(\( 1 - 7462 T + 115856201 T^{2} \))(\( 1 + 378 T + 115856201 T^{2} \))(\( 1 + 15123 T + 115856201 T^{2} \))(\( 1 + 2398 T + 115856201 T^{2} \))(\( 1 + 8886 T + 115856201 T^{2} \))(\( 1 + 14394 T + 115856201 T^{2} \))(\( 1 - 1242 T + 115856201 T^{2} \))(\( 1 - 27754 T + 414643531 T^{2} - 3215473002554 T^{3} + 13422659310152401 T^{4} \))(\( 1 + 12438 T + 217381963 T^{2} + 1441019428038 T^{3} + 13422659310152401 T^{4} \))(\( 1 - 23076 T + 352280470 T^{2} - 2673497694276 T^{3} + 13422659310152401 T^{4} \))(\( 1 + 5334 T + 27686155 T^{2} + 617976976134 T^{3} + 13422659310152401 T^{4} \))(\( ( 1 + 7414 T + 115856201 T^{2} )^{2} \))(\( ( 1 + 198 T + 115856201 T^{2} )^{2} \))(\( 1 + 5334 T + 27686155 T^{2} + 617976976134 T^{3} + 13422659310152401 T^{4} \))(\( 1 + 12438 T + 217381963 T^{2} + 1441019428038 T^{3} + 13422659310152401 T^{4} \))(\( 1 - 27754 T + 414643531 T^{2} - 3215473002554 T^{3} + 13422659310152401 T^{4} \))(\( 1 - 3223 T + 204190518 T^{2} - 833781103267 T^{3} + 23656737695702118 T^{4} - 43261230956621188423 T^{5} + \)\(15\!\cdots\!01\)\( T^{6} \))(\( 1 - 3223 T + 204190518 T^{2} - 833781103267 T^{3} + 23656737695702118 T^{4} - 43261230956621188423 T^{5} + \)\(15\!\cdots\!01\)\( T^{6} \))(\( 1 - 11800 T + 337909340 T^{2} - 2943020124776 T^{3} + 51155654972384870 T^{4} - \)\(34\!\cdots\!76\)\( T^{5} + \)\(45\!\cdots\!40\)\( T^{6} - \)\(18\!\cdots\!00\)\( T^{7} + \)\(18\!\cdots\!01\)\( T^{8} \))(\( 1 - 11800 T + 337909340 T^{2} - 2943020124776 T^{3} + 51155654972384870 T^{4} - \)\(34\!\cdots\!76\)\( T^{5} + \)\(45\!\cdots\!40\)\( T^{6} - \)\(18\!\cdots\!00\)\( T^{7} + \)\(18\!\cdots\!01\)\( T^{8} \))(\( ( 1 - 1542 T + 115856201 T^{2} )^{2} \))(\( ( 1 - 1242 T + 115856201 T^{2} )^{2} \))(\( ( 1 + 14394 T + 115856201 T^{2} )^{2} \))(\( ( 1 + 8886 T + 115856201 T^{2} )^{2} \))(\( ( 1 + 1818 T + 115856201 T^{2} )^{2} \))(\( ( 1 - 17226 T + 115856201 T^{2} )^{2} \))(\( ( 1 + 15123 T + 115856201 T^{2} )^{2} \))(\( ( 1 + 17958 T + 115856201 T^{2} )^{2} \))(\( ( 1 + 378 T + 115856201 T^{2} )^{2} \))(\( ( 1 + 9398 T + 115856201 T^{2} )^{2} \))(\( ( 1 - 7462 T + 115856201 T^{2} )^{2} \))(\( ( 1 - 23076 T + 352280470 T^{2} - 2673497694276 T^{3} + 13422659310152401 T^{4} )^{2} \))(\( ( 1 + 12438 T + 217381963 T^{2} + 1441019428038 T^{3} + 13422659310152401 T^{4} )^{2} \))(\( ( 1 - 27754 T + 414643531 T^{2} - 3215473002554 T^{3} + 13422659310152401 T^{4} )^{2} \))(\( ( 1 + 5334 T + 27686155 T^{2} + 617976976134 T^{3} + 13422659310152401 T^{4} )^{2} \))(\( ( 1 - 3223 T + 204190518 T^{2} - 833781103267 T^{3} + 23656737695702118 T^{4} - 43261230956621188423 T^{5} + \)\(15\!\cdots\!01\)\( T^{6} )^{2} \))(\( ( 1 + 4952 T + 115856201 T^{2} )^{2} \))(\( ( 1 - 2178 T + 115856201 T^{2} )^{4} \))(\( ( 1 - 4548 T + 115856201 T^{2} )^{4} \))(\( ( 1 - 9218 T + 115856201 T^{2} )^{4} \))(\( ( 1 + 1536 T + 186402946 T^{2} + 177955124736 T^{3} + 13422659310152401 T^{4} )^{8} \))(\( ( 1 + 15654 T + 268551931 T^{2} + 1813612970454 T^{3} + 13422659310152401 T^{4} )^{8} \))(\( ( 1 + 1690 T + 164119545 T^{2} - 1028151329120 T^{3} + 25291870422416110 T^{4} - 93379183076463398452 T^{5} + \)\(29\!\cdots\!10\)\( T^{6} - \)\(13\!\cdots\!20\)\( T^{7} + \)\(25\!\cdots\!45\)\( T^{8} + \)\(30\!\cdots\!90\)\( T^{9} + \)\(20\!\cdots\!01\)\( T^{10} )^{4} \))
$43$ (\( 1 + 5026 T + 147008443 T^{2} \))(\( 1 - 10534 T + 147008443 T^{2} \))(\( 1 + 2294 T + 147008443 T^{2} \))(\( 1 + 12100 T + 147008443 T^{2} \))(\( 1 - 7844 T + 147008443 T^{2} \))(\( 1 - 9264 T + 147008443 T^{2} \))(\( 1 + 1244 T + 147008443 T^{2} \))(\( 1 + 7114 T + 147008443 T^{2} \))(\( 1 + 2434 T + 147008443 T^{2} \))(\( 1 + 7844 T + 147008443 T^{2} \))(\( 1 - 2294 T + 147008443 T^{2} \))(\( 1 + 9188 T + 147008443 T^{2} \))(\( 1 + 370 T + 147008443 T^{2} \))(\( 1 - 20624 T + 147008443 T^{2} \))(\( 1 - 3000 T + 23431750 T^{2} - 441025329000 T^{3} + 21611482313284249 T^{4} \))(\( 1 + 1160 T + 270794886 T^{2} + 170529793880 T^{3} + 21611482313284249 T^{4} \))(\( 1 - 17684 T + 312898614 T^{2} - 2599697306012 T^{3} + 21611482313284249 T^{4} \))(\( 1 + 224 T + 15005414 T^{2} + 32929891232 T^{3} + 21611482313284249 T^{4} \))(\( 1 - 21442214 T^{2} + 21611482313284249 T^{4} \))(\( 1 + 293842250 T^{2} + 21611482313284249 T^{4} \))(\( 1 - 224 T + 15005414 T^{2} - 32929891232 T^{3} + 21611482313284249 T^{4} \))(\( 1 - 1160 T + 270794886 T^{2} - 170529793880 T^{3} + 21611482313284249 T^{4} \))(\( 1 + 3000 T + 23431750 T^{2} + 441025329000 T^{3} + 21611482313284249 T^{4} \))(\( 1 - 41060 T + 882414881 T^{2} - 12733285389272 T^{3} + 129722437735840283 T^{4} - \)\(88\!\cdots\!40\)\( T^{5} + \)\(31\!\cdots\!07\)\( T^{6} \))(\( 1 + 41060 T + 882414881 T^{2} + 12733285389272 T^{3} + 129722437735840283 T^{4} + \)\(88\!\cdots\!40\)\( T^{5} + \)\(31\!\cdots\!07\)\( T^{6} \))(\( 1 + 48276 T + 1306891924 T^{2} + 24102642735684 T^{3} + 333606713965182294 T^{4} + \)\(35\!\cdots\!12\)\( T^{5} + \)\(28\!\cdots\!76\)\( T^{6} + \)\(15\!\cdots\!32\)\( T^{7} + \)\(46\!\cdots\!01\)\( T^{8} \))(\( 1 - 48276 T + 1306891924 T^{2} - 24102642735684 T^{3} + 333606713965182294 T^{4} - \)\(35\!\cdots\!12\)\( T^{5} + \)\(28\!\cdots\!76\)\( T^{6} - \)\(15\!\cdots\!32\)\( T^{7} + \)\(46\!\cdots\!01\)\( T^{8} \))(\( 1 - 268756210 T^{2} + 21611482313284249 T^{4} \))(\( 1 + 131332490 T^{2} + 21611482313284249 T^{4} \))(\( 1 - 293879986 T^{2} + 21611482313284249 T^{4} \))(\( 1 - 209597542 T^{2} + 21611482313284249 T^{4} \))(\( 1 - 183051730 T^{2} + 21611482313284249 T^{4} \))(\( 1 - 147606886 T^{2} + 21611482313284249 T^{4} \))(\( 1 - 232488550 T^{2} + 21611482313284249 T^{4} \))(\( 1 - 208195190 T^{2} + 21611482313284249 T^{4} \))(\( 1 - 288092530 T^{2} + 21611482313284249 T^{4} \))(\( 1 - 292469350 T^{2} + 21611482313284249 T^{4} \))(\( 1 - 243407890 T^{2} + 21611482313284249 T^{4} \))(\( 1 - 313073372 T^{2} + 49182412950657078 T^{4} - \)\(67\!\cdots\!28\)\( T^{6} + \)\(46\!\cdots\!01\)\( T^{8} \))(\( 1 - 540244172 T^{2} + 116157205788519894 T^{4} - \)\(11\!\cdots\!28\)\( T^{6} + \)\(46\!\cdots\!01\)\( T^{8} \))(\( 1 - 37863500 T^{2} + 41125859560630998 T^{4} - \)\(81\!\cdots\!00\)\( T^{6} + \)\(46\!\cdots\!01\)\( T^{8} \))(\( 1 - 29960652 T^{2} + 43433374484607958 T^{4} - \)\(64\!\cdots\!48\)\( T^{6} + \)\(46\!\cdots\!01\)\( T^{8} \))(\( 1 - 78906162 T^{2} - 7556498485091913 T^{4} - \)\(28\!\cdots\!76\)\( T^{6} - \)\(16\!\cdots\!37\)\( T^{8} - \)\(36\!\cdots\!62\)\( T^{10} + \)\(10\!\cdots\!49\)\( T^{12} \))(\( 1 + 21611482313284249 T^{4} \))(\( 1 - 35368995141923122 T^{4} + \)\(46\!\cdots\!01\)\( T^{8} \))(\( ( 1 - 11862 T + 70353522 T^{2} - 1743814150866 T^{3} + 21611482313284249 T^{4} )( 1 + 11862 T + 70353522 T^{2} + 1743814150866 T^{3} + 21611482313284249 T^{4} ) \))(\( 1 + 40420440476627918 T^{4} + \)\(46\!\cdots\!01\)\( T^{8} \))(\( ( 1 - 73395385640767556 T^{4} + \)\(22\!\cdots\!86\)\( T^{8} - \)\(34\!\cdots\!56\)\( T^{12} + \)\(21\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 - 40687836370591004 T^{4} + \)\(83\!\cdots\!06\)\( T^{8} - \)\(19\!\cdots\!04\)\( T^{12} + \)\(21\!\cdots\!01\)\( T^{16} )^{2} \))(\( 1 + 22292551011039310 T^{4} + \)\(40\!\cdots\!45\)\( T^{8} + \)\(23\!\cdots\!20\)\( T^{12} + \)\(67\!\cdots\!10\)\( T^{16} + \)\(21\!\cdots\!52\)\( T^{20} + \)\(31\!\cdots\!10\)\( T^{24} + \)\(51\!\cdots\!20\)\( T^{28} + \)\(41\!\cdots\!45\)\( T^{32} + \)\(10\!\cdots\!10\)\( T^{36} + \)\(22\!\cdots\!01\)\( T^{40} \))
$47$ (\( 1 - 24738 T + 229345007 T^{2} \))(\( 1 - 12074 T + 229345007 T^{2} \))(\( 1 - 10682 T + 229345007 T^{2} \))(\( 1 + 1296 T + 229345007 T^{2} \))(\( 1 + 6732 T + 229345007 T^{2} \))(\( 1 + 9796 T + 229345007 T^{2} \))(\( 1 + 12088 T + 229345007 T^{2} \))(\( 1 + 28294 T + 229345007 T^{2} \))(\( 1 - 13122 T + 229345007 T^{2} \))(\( 1 - 6732 T + 229345007 T^{2} \))(\( 1 + 10682 T + 229345007 T^{2} \))(\( 1 - 23664 T + 229345007 T^{2} \))(\( 1 - 16146 T + 229345007 T^{2} \))(\( 1 - 6588 T + 229345007 T^{2} \))(\( 1 + 25760 T + 480952270 T^{2} + 5907927380320 T^{3} + 52599132235830049 T^{4} \))(\( 1 - 1200 T + 451923598 T^{2} - 275214008400 T^{3} + 52599132235830049 T^{4} \))(\( 1 + 2908 T + 56660030 T^{2} + 666935280356 T^{3} + 52599132235830049 T^{4} \))(\( ( 1 + 13036 T + 229345007 T^{2} )^{2} \))(\( 1 + 369731298 T^{2} + 52599132235830049 T^{4} \))(\( 1 + 347593490 T^{2} + 52599132235830049 T^{4} \))(\( ( 1 - 13036 T + 229345007 T^{2} )^{2} \))(\( 1 + 1200 T + 451923598 T^{2} + 275214008400 T^{3} + 52599132235830049 T^{4} \))(\( 1 - 25760 T + 480952270 T^{2} - 5907927380320 T^{3} + 52599132235830049 T^{4} \))(\( 1 + 29188 T + 677809469 T^{2} + 13063893267768 T^{3} + 155452217412471283 T^{4} + \)\(15\!\cdots\!12\)\( T^{5} + \)\(12\!\cdots\!43\)\( T^{6} \))(\( 1 - 29188 T + 677809469 T^{2} - 13063893267768 T^{3} + 155452217412471283 T^{4} - \)\(15\!\cdots\!12\)\( T^{5} + \)\(12\!\cdots\!43\)\( T^{6} \))(\( 1 + 14724 T + 590074244 T^{2} + 7755349482468 T^{3} + 177012391425566214 T^{4} + \)\(17\!\cdots\!76\)\( T^{5} + \)\(31\!\cdots\!56\)\( T^{6} + \)\(17\!\cdots\!32\)\( T^{7} + \)\(27\!\cdots\!01\)\( T^{8} \))(\( 1 - 14724 T + 590074244 T^{2} - 7755349482468 T^{3} + 177012391425566214 T^{4} - \)\(17\!\cdots\!76\)\( T^{5} + \)\(31\!\cdots\!56\)\( T^{6} - \)\(17\!\cdots\!32\)\( T^{7} + \)\(27\!\cdots\!01\)\( T^{8} \))(\( 1 + 153278630 T^{2} + 52599132235830049 T^{4} \))(\( 1 - 415288270 T^{2} + 52599132235830049 T^{4} \))(\( 1 - 197996698 T^{2} + 52599132235830049 T^{4} \))(\( 1 + 101294882 T^{2} + 52599132235830049 T^{4} \))(\( 1 - 312908538 T^{2} + 52599132235830049 T^{4} \))(\( 1 - 457010398 T^{2} + 52599132235830049 T^{4} \))(\( 1 - 413370190 T^{2} + 52599132235830049 T^{4} \))(\( 1 - 362728398 T^{2} + 52599132235830049 T^{4} \))(\( 1 - 286503130 T^{2} + 52599132235830049 T^{4} \))(\( 1 - 312570270 T^{2} + 52599132235830049 T^{4} \))(\( 1 + 341860422 T^{2} + 52599132235830049 T^{4} \))(\( 1 - 104863596 T^{2} + 104529727880710502 T^{4} - \)\(55\!\cdots\!04\)\( T^{6} + \)\(27\!\cdots\!01\)\( T^{8} \))(\( 1 - 902407196 T^{2} + 308772689280765702 T^{4} - \)\(47\!\cdots\!04\)\( T^{6} + \)\(27\!\cdots\!01\)\( T^{8} \))(\( 1 - 298326940 T^{2} + 32136931855726598 T^{4} - \)\(15\!\cdots\!60\)\( T^{6} + \)\(27\!\cdots\!01\)\( T^{8} \))(\( ( 1 - 288752718 T^{2} + 52599132235830049 T^{4} )^{2} \))(\( 1 - 503679594 T^{2} + 7712277691779759 T^{4} + \)\(25\!\cdots\!96\)\( T^{6} + \)\(40\!\cdots\!91\)\( T^{8} - \)\(13\!\cdots\!94\)\( T^{10} + \)\(14\!\cdots\!49\)\( T^{12} \))(\( 1 + 52599132235830049 T^{4} \))(\( 1 + 62763367693678078 T^{4} + \)\(27\!\cdots\!01\)\( T^{8} \))(\( ( 1 - 33334 T + 555577778 T^{2} - 7644986463338 T^{3} + 52599132235830049 T^{4} )( 1 + 33334 T + 555577778 T^{2} + 7644986463338 T^{3} + 52599132235830049 T^{4} ) \))(\( 1 - 85407260265966082 T^{4} + \)\(27\!\cdots\!01\)\( T^{8} \))(\( ( 1 + 26718628121437852 T^{4} - \)\(85\!\cdots\!02\)\( T^{8} + \)\(73\!\cdots\!52\)\( T^{12} + \)\(76\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 - 194675464384799804 T^{4} + \)\(14\!\cdots\!06\)\( T^{8} - \)\(53\!\cdots\!04\)\( T^{12} + \)\(76\!\cdots\!01\)\( T^{16} )^{2} \))(\( 1 + 74279974827999230 T^{4} + \)\(48\!\cdots\!65\)\( T^{8} + \)\(19\!\cdots\!80\)\( T^{12} + \)\(14\!\cdots\!70\)\( T^{16} - \)\(25\!\cdots\!24\)\( T^{20} + \)\(39\!\cdots\!70\)\( T^{24} + \)\(15\!\cdots\!80\)\( T^{28} + \)\(10\!\cdots\!65\)\( T^{32} + \)\(43\!\cdots\!30\)\( T^{36} + \)\(16\!\cdots\!01\)\( T^{40} \))
$53$ (\( 1 - 14166 T + 418195493 T^{2} \))(\( 1 + 32586 T + 418195493 T^{2} \))(\( 1 - 2964 T + 418195493 T^{2} \))(\( 1 + 19494 T + 418195493 T^{2} \))(\( 1 + 3414 T + 418195493 T^{2} \))(\( 1 - 31434 T + 418195493 T^{2} \))(\( 1 + 23846 T + 418195493 T^{2} \))(\( 1 - 13046 T + 418195493 T^{2} \))(\( 1 - 9174 T + 418195493 T^{2} \))(\( 1 - 3414 T + 418195493 T^{2} \))(\( 1 + 2964 T + 418195493 T^{2} \))(\( 1 + 11686 T + 418195493 T^{2} \))(\( 1 - 4374 T + 418195493 T^{2} \))(\( 1 - 21066 T + 418195493 T^{2} \))(\( 1 + 26980 T + 984299470 T^{2} + 11282914401140 T^{3} + 174887470365513049 T^{4} \))(\( 1 - 26340 T + 941756110 T^{2} - 11015269285620 T^{3} + 174887470365513049 T^{4} \))(\( 1 - 5412 T + 693247822 T^{2} - 2263274008116 T^{3} + 174887470365513049 T^{4} \))(\( 1 + 46812 T + 1352998222 T^{2} + 19576567418316 T^{3} + 174887470365513049 T^{4} \))(\( 1 + 248174170 T^{2} + 174887470365513049 T^{4} \))(\( 1 + 802472090 T^{2} + 174887470365513049 T^{4} \))(\( 1 - 46812 T + 1352998222 T^{2} - 19576567418316 T^{3} + 174887470365513049 T^{4} \))(\( 1 + 26340 T + 941756110 T^{2} + 11015269285620 T^{3} + 174887470365513049 T^{4} \))(\( 1 - 26980 T + 984299470 T^{2} - 11282914401140 T^{3} + 174887470365513049 T^{4} \))(\( 1 + 12878 T + 18166107 T^{2} - 11553992883916 T^{3} + 7596984072755751 T^{4} + \)\(22\!\cdots\!22\)\( T^{5} + \)\(73\!\cdots\!57\)\( T^{6} \))(\( 1 - 12878 T + 18166107 T^{2} + 11553992883916 T^{3} + 7596984072755751 T^{4} - \)\(22\!\cdots\!22\)\( T^{5} + \)\(73\!\cdots\!57\)\( T^{6} \))(\( 1 - 84296 T + 4144600628 T^{2} - 135070817073080 T^{3} + 3234464962764166486 T^{4} - \)\(56\!\cdots\!40\)\( T^{5} + \)\(72\!\cdots\!72\)\( T^{6} - \)\(61\!\cdots\!72\)\( T^{7} + \)\(30\!\cdots\!01\)\( T^{8} \))(\( 1 + 84296 T + 4144600628 T^{2} + 135070817073080 T^{3} + 3234464962764166486 T^{4} + \)\(56\!\cdots\!40\)\( T^{5} + \)\(72\!\cdots\!72\)\( T^{6} + \)\(61\!\cdots\!72\)\( T^{7} + \)\(30\!\cdots\!01\)\( T^{8} \))(\( 1 - 635715430 T^{2} + 174887470365513049 T^{4} \))(\( 1 - 392614630 T^{2} + 174887470365513049 T^{4} \))(\( 1 - 817259110 T^{2} + 174887470365513049 T^{4} \))(\( 1 - 699828390 T^{2} + 174887470365513049 T^{4} \))(\( 1 + 225456410 T^{2} + 174887470365513049 T^{4} \))(\( 1 - 456374950 T^{2} + 174887470365513049 T^{4} \))(\( 1 - 824735590 T^{2} + 174887470365513049 T^{4} \))(\( 1 + 151705370 T^{2} + 174887470365513049 T^{4} \))(\( 1 - 752228710 T^{2} + 174887470365513049 T^{4} \))(\( 1 - 267759270 T^{2} + 174887470365513049 T^{4} \))(\( 1 - 666192870 T^{2} + 174887470365513049 T^{4} \))(\( 1 - 1357205900 T^{2} + 805869805574922198 T^{4} - \)\(23\!\cdots\!00\)\( T^{6} + \)\(30\!\cdots\!01\)\( T^{8} \))(\( 1 - 1189716620 T^{2} + 656395125486896598 T^{4} - \)\(20\!\cdots\!80\)\( T^{6} + \)\(30\!\cdots\!01\)\( T^{8} \))(\( 1 - 1240678540 T^{2} + 709794326287792598 T^{4} - \)\(21\!\cdots\!60\)\( T^{6} + \)\(30\!\cdots\!01\)\( T^{8} \))(\( 1 - 514633100 T^{2} + 347542581493770198 T^{4} - \)\(90\!\cdots\!00\)\( T^{6} + \)\(30\!\cdots\!01\)\( T^{8} \))(\( 1 + 129510670 T^{2} + 313108616307187447 T^{4} + \)\(44\!\cdots\!60\)\( T^{6} + \)\(54\!\cdots\!03\)\( T^{8} + \)\(39\!\cdots\!70\)\( T^{10} + \)\(53\!\cdots\!49\)\( T^{12} \))(\( ( 1 - 40244 T + 418195493 T^{2} )( 1 + 7294 T + 418195493 T^{2} ) \))(\( ( 1 - 47830 T + 1143854450 T^{2} - 20002290430190 T^{3} + 174887470365513049 T^{4} )^{2} \))(\( ( 1 + 174887470365513049 T^{4} )^{2} \))(\( ( 1 + 22690 T + 257418050 T^{2} + 9488855736170 T^{3} + 174887470365513049 T^{4} )^{2} \))(\( ( 1 - 62761488769175708 T^{4} - \)\(15\!\cdots\!02\)\( T^{8} - \)\(19\!\cdots\!08\)\( T^{12} + \)\(93\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 - 575736120086003804 T^{4} + \)\(14\!\cdots\!06\)\( T^{8} - \)\(17\!\cdots\!04\)\( T^{12} + \)\(93\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 + 91226 T + 4161091538 T^{2} + 141622957033378 T^{3} + 3893612180777232821 T^{4} + \)\(81\!\cdots\!12\)\( T^{5} + \)\(12\!\cdots\!56\)\( T^{6} + \)\(10\!\cdots\!76\)\( T^{7} - \)\(19\!\cdots\!54\)\( T^{8} - \)\(10\!\cdots\!72\)\( T^{9} - \)\(26\!\cdots\!96\)\( T^{10} - \)\(45\!\cdots\!96\)\( T^{11} - \)\(34\!\cdots\!46\)\( T^{12} + \)\(80\!\cdots\!32\)\( T^{13} + \)\(39\!\cdots\!56\)\( T^{14} + \)\(10\!\cdots\!16\)\( T^{15} + \)\(20\!\cdots\!29\)\( T^{16} + \)\(31\!\cdots\!46\)\( T^{17} + \)\(38\!\cdots\!38\)\( T^{18} + \)\(35\!\cdots\!18\)\( T^{19} + \)\(16\!\cdots\!49\)\( T^{20} )^{2} \))
$59$ (\( 1 + 28380 T + 714924299 T^{2} \))(\( 1 + 8668 T + 714924299 T^{2} \))(\( 1 - 39740 T + 714924299 T^{2} \))(\( 1 - 7668 T + 714924299 T^{2} \))(\( 1 + 33960 T + 714924299 T^{2} \))(\( 1 + 33228 T + 714924299 T^{2} \))(\( 1 - 20020 T + 714924299 T^{2} \))(\( 1 - 37092 T + 714924299 T^{2} \))(\( 1 - 34980 T + 714924299 T^{2} \))(\( 1 + 33960 T + 714924299 T^{2} \))(\( 1 - 39740 T + 714924299 T^{2} \))(\( 1 + 16876 T + 714924299 T^{2} \))(\( 1 - 11748 T + 714924299 T^{2} \))(\( 1 + 7980 T + 714924299 T^{2} \))(\( 1 + 11960 T + 1234152598 T^{2} + 8550494616040 T^{3} + 511116753300641401 T^{4} \))(\( 1 - 36696 T + 1234961302 T^{2} - 26234862076104 T^{3} + 511116753300641401 T^{4} \))(\( 1 + 62584 T + 2277965606 T^{2} + 44742822328616 T^{3} + 511116753300641401 T^{4} \))(\( 1 - 81776 T + 3059970646 T^{2} - 58463649475024 T^{3} + 511116753300641401 T^{4} \))(\( ( 1 + 25972 T + 714924299 T^{2} )^{2} \))(\( ( 1 + 24660 T + 714924299 T^{2} )^{2} \))(\( 1 - 81776 T + 3059970646 T^{2} - 58463649475024 T^{3} + 511116753300641401 T^{4} \))(\( 1 - 36696 T + 1234961302 T^{2} - 26234862076104 T^{3} + 511116753300641401 T^{4} \))(\( 1 + 11960 T + 1234152598 T^{2} + 8550494616040 T^{3} + 511116753300641401 T^{4} \))(\( 1 + 64912 T + 3469849057 T^{2} + 101432669884000 T^{3} + 2480679404711536043 T^{4} + \)\(33\!\cdots\!12\)\( T^{5} + \)\(36\!\cdots\!99\)\( T^{6} \))(\( 1 + 64912 T + 3469849057 T^{2} + 101432669884000 T^{3} + 2480679404711536043 T^{4} + \)\(33\!\cdots\!12\)\( T^{5} + \)\(36\!\cdots\!99\)\( T^{6} \))(\( 1 - 45840 T + 3064286732 T^{2} - 94721285480976 T^{3} + 3348109683185502486 T^{4} - \)\(67\!\cdots\!24\)\( T^{5} + \)\(15\!\cdots\!32\)\( T^{6} - \)\(16\!\cdots\!60\)\( T^{7} + \)\(26\!\cdots\!01\)\( T^{8} \))(\( 1 - 45840 T + 3064286732 T^{2} - 94721285480976 T^{3} + 3348109683185502486 T^{4} - \)\(67\!\cdots\!24\)\( T^{5} + \)\(15\!\cdots\!32\)\( T^{6} - \)\(16\!\cdots\!60\)\( T^{7} + \)\(26\!\cdots\!01\)\( T^{8} \))(\( ( 1 - 28380 T + 714924299 T^{2} )^{2} \))(\( ( 1 - 7980 T + 714924299 T^{2} )^{2} \))(\( ( 1 + 11748 T + 714924299 T^{2} )^{2} \))(\( ( 1 - 16876 T + 714924299 T^{2} )^{2} \))(\( ( 1 - 8668 T + 714924299 T^{2} )^{2} \))(\( ( 1 + 7668 T + 714924299 T^{2} )^{2} \))(\( ( 1 - 33960 T + 714924299 T^{2} )^{2} \))(\( ( 1 - 33228 T + 714924299 T^{2} )^{2} \))(\( ( 1 + 34980 T + 714924299 T^{2} )^{2} \))(\( ( 1 + 20020 T + 714924299 T^{2} )^{2} \))(\( ( 1 + 37092 T + 714924299 T^{2} )^{2} \))(\( ( 1 - 62584 T + 2277965606 T^{2} - 44742822328616 T^{3} + 511116753300641401 T^{4} )^{2} \))(\( ( 1 + 36696 T + 1234961302 T^{2} + 26234862076104 T^{3} + 511116753300641401 T^{4} )^{2} \))(\( ( 1 - 11960 T + 1234152598 T^{2} - 8550494616040 T^{3} + 511116753300641401 T^{4} )^{2} \))(\( ( 1 + 81776 T + 3059970646 T^{2} + 58463649475024 T^{3} + 511116753300641401 T^{4} )^{2} \))(\( ( 1 - 64912 T + 3469849057 T^{2} - 101432669884000 T^{3} + 2480679404711536043 T^{4} - \)\(33\!\cdots\!12\)\( T^{5} + \)\(36\!\cdots\!99\)\( T^{6} )^{2} \))(\( ( 1 + 714924299 T^{2} )^{2} \))(\( ( 1 + 693226598 T^{2} + 511116753300641401 T^{4} )^{2} \))(\( ( 1 + 714924299 T^{2} )^{4} \))(\( ( 1 + 1429146598 T^{2} + 511116753300641401 T^{4} )^{2} \))(\( ( 1 + 962289260 T^{2} + 425864711953156182 T^{4} + \)\(49\!\cdots\!60\)\( T^{6} + \)\(26\!\cdots\!01\)\( T^{8} )^{4} \))(\( ( 1 + 2703178196 T^{2} + 2842968314833736406 T^{4} + \)\(13\!\cdots\!96\)\( T^{6} + \)\(26\!\cdots\!01\)\( T^{8} )^{4} \))(\( ( 1 + 4265422750 T^{2} + 8278744468566020805 T^{4} + \)\(98\!\cdots\!00\)\( T^{6} + \)\(85\!\cdots\!10\)\( T^{8} + \)\(63\!\cdots\!00\)\( T^{10} + \)\(43\!\cdots\!10\)\( T^{12} + \)\(25\!\cdots\!00\)\( T^{14} + \)\(11\!\cdots\!05\)\( T^{16} + \)\(29\!\cdots\!50\)\( T^{18} + \)\(34\!\cdots\!01\)\( T^{20} )^{2} \))
$61$ (\( 1 - 5522 T + 844596301 T^{2} \))(\( 1 + 34670 T + 844596301 T^{2} \))(\( 1 + 42298 T + 844596301 T^{2} \))(\( 1 + 34738 T + 844596301 T^{2} \))(\( 1 - 47402 T + 844596301 T^{2} \))(\( 1 + 40210 T + 844596301 T^{2} \))(\( 1 - 32302 T + 844596301 T^{2} \))(\( 1 - 39570 T + 844596301 T^{2} \))(\( 1 + 9838 T + 844596301 T^{2} \))(\( 1 - 47402 T + 844596301 T^{2} \))(\( 1 + 42298 T + 844596301 T^{2} \))(\( 1 + 18482 T + 844596301 T^{2} \))(\( 1 - 13202 T + 844596301 T^{2} \))(\( 1 - 16622 T + 844596301 T^{2} \))(\( 1 + 24396 T + 1596983806 T^{2} + 20604771359196 T^{3} + 713342911662882601 T^{4} \))(\( 1 - 19204 T + 627029406 T^{2} - 16219627364404 T^{3} + 713342911662882601 T^{4} \))(\( 1 - 14108 T + 1110042462 T^{2} - 11915564614508 T^{3} + 713342911662882601 T^{4} \))(\( 1 + 46932 T + 2239379182 T^{2} + 39638593598532 T^{3} + 713342911662882601 T^{4} \))(\( ( 1 + 3058 T + 844596301 T^{2} )^{2} \))(\( ( 1 + 5698 T + 844596301 T^{2} )^{2} \))(\( 1 + 46932 T + 2239379182 T^{2} + 39638593598532 T^{3} + 713342911662882601 T^{4} \))(\( 1 - 19204 T + 627029406 T^{2} - 16219627364404 T^{3} + 713342911662882601 T^{4} \))(\( 1 + 24396 T + 1596983806 T^{2} + 20604771359196 T^{3} + 713342911662882601 T^{4} \))(\( 1 - 22478 T + 1331345683 T^{2} - 9784946414356 T^{3} + 1124449639214118583 T^{4} - \)\(16\!\cdots\!78\)\( T^{5} + \)\(60\!\cdots\!01\)\( T^{6} \))(\( 1 - 22478 T + 1331345683 T^{2} - 9784946414356 T^{3} + 1124449639214118583 T^{4} - \)\(16\!\cdots\!78\)\( T^{5} + \)\(60\!\cdots\!01\)\( T^{6} \))(\( 1 - 61928 T + 3903014764 T^{2} - 145287706763384 T^{3} + 5198153942066716726 T^{4} - \)\(12\!\cdots\!84\)\( T^{5} + \)\(27\!\cdots\!64\)\( T^{6} - \)\(37\!\cdots\!28\)\( T^{7} + \)\(50\!\cdots\!01\)\( T^{8} \))(\( 1 - 61928 T + 3903014764 T^{2} - 145287706763384 T^{3} + 5198153942066716726 T^{4} - \)\(12\!\cdots\!84\)\( T^{5} + \)\(27\!\cdots\!64\)\( T^{6} - \)\(37\!\cdots\!28\)\( T^{7} + \)\(50\!\cdots\!01\)\( T^{8} \))(\( ( 1 - 5522 T + 844596301 T^{2} )^{2} \))(\( ( 1 - 16622 T + 844596301 T^{2} )^{2} \))(\( ( 1 - 13202 T + 844596301 T^{2} )^{2} \))(\( ( 1 + 18482 T + 844596301 T^{2} )^{2} \))(\( ( 1 + 34670 T + 844596301 T^{2} )^{2} \))(\( ( 1 + 34738 T + 844596301 T^{2} )^{2} \))(\( ( 1 - 47402 T + 844596301 T^{2} )^{2} \))(\( ( 1 + 40210 T + 844596301 T^{2} )^{2} \))(\( ( 1 + 9838 T + 844596301 T^{2} )^{2} \))(\( ( 1 - 32302 T + 844596301 T^{2} )^{2} \))(\( ( 1 - 39570 T + 844596301 T^{2} )^{2} \))(\( ( 1 - 14108 T + 1110042462 T^{2} - 11915564614508 T^{3} + 713342911662882601 T^{4} )^{2} \))(\( ( 1 - 19204 T + 627029406 T^{2} - 16219627364404 T^{3} + 713342911662882601 T^{4} )^{2} \))(\( ( 1 + 24396 T + 1596983806 T^{2} + 20604771359196 T^{3} + 713342911662882601 T^{4} )^{2} \))(\( ( 1 + 46932 T + 2239379182 T^{2} + 39638593598532 T^{3} + 713342911662882601 T^{4} )^{2} \))(\( ( 1 - 22478 T + 1331345683 T^{2} - 9784946414356 T^{3} + 1124449639214118583 T^{4} - \)\(16\!\cdots\!78\)\( T^{5} + \)\(60\!\cdots\!01\)\( T^{6} )^{2} \))(\( ( 1 - 54948 T + 844596301 T^{2} )^{2} \))(\( ( 1 + 35882 T + 844596301 T^{2} )^{4} \))(\( ( 1 - 25448 T + 844596301 T^{2} )^{4} \))(\( ( 1 - 18678 T + 844596301 T^{2} )^{4} \))(\( ( 1 + 34688 T + 1356784218 T^{2} + 29297356489088 T^{3} + 713342911662882601 T^{4} )^{8} \))(\( ( 1 + 34904 T + 1442734506 T^{2} + 29479789290104 T^{3} + 713342911662882601 T^{4} )^{8} \))(\( ( 1 + 10270 T + 3306972765 T^{2} + 29698468018720 T^{3} + 4981733552475787870 T^{4} + \)\(35\!\cdots\!24\)\( T^{5} + \)\(42\!\cdots\!70\)\( T^{6} + \)\(21\!\cdots\!20\)\( T^{7} + \)\(19\!\cdots\!65\)\( T^{8} + \)\(52\!\cdots\!70\)\( T^{9} + \)\(42\!\cdots\!01\)\( T^{10} )^{4} \))
$67$ (\( 1 + 24742 T + 1350125107 T^{2} \))(\( 1 + 47566 T + 1350125107 T^{2} \))(\( 1 + 32098 T + 1350125107 T^{2} \))(\( 1 - 21812 T + 1350125107 T^{2} \))(\( 1 + 13177 T + 1350125107 T^{2} \))(\( 1 - 58864 T + 1350125107 T^{2} \))(\( 1 - 60972 T + 1350125107 T^{2} \))(\( 1 + 56734 T + 1350125107 T^{2} \))(\( 1 - 33722 T + 1350125107 T^{2} \))(\( 1 - 13177 T + 1350125107 T^{2} \))(\( 1 - 32098 T + 1350125107 T^{2} \))(\( 1 + 15532 T + 1350125107 T^{2} \))(\( 1 + 11542 T + 1350125107 T^{2} \))(\( 1 - 1808 T + 1350125107 T^{2} \))(\( 1 - 40060 T + 2949898505 T^{2} - 54086011786420 T^{3} + 1822837804551761449 T^{4} \))(\( 1 - 90460 T + 4578999825 T^{2} - 122132317179220 T^{3} + 1822837804551761449 T^{4} \))(\( 1 + 85412 T + 4371910566 T^{2} + 115316885639084 T^{3} + 1822837804551761449 T^{4} \))(\( 1 + 68808 T + 3858742141 T^{2} + 92899408362456 T^{3} + 1822837804551761449 T^{4} \))(\( 1 - 755362070 T^{2} + 1822837804551761449 T^{4} \))(\( 1 + 795787610 T^{2} + 1822837804551761449 T^{4} \))(\( 1 - 68808 T + 3858742141 T^{2} - 92899408362456 T^{3} + 1822837804551761449 T^{4} \))(\( 1 + 90460 T + 4578999825 T^{2} + 122132317179220 T^{3} + 1822837804551761449 T^{4} \))(\( 1 + 40060 T + 2949898505 T^{2} + 54086011786420 T^{3} + 1822837804551761449 T^{4} \))(\( 1 + 26499 T + 3645391656 T^{2} + 72815104048223 T^{3} + 4921734799613907192 T^{4} + \)\(48\!\cdots\!51\)\( T^{5} + \)\(24\!\cdots\!43\)\( T^{6} \))(\( 1 - 26499 T + 3645391656 T^{2} - 72815104048223 T^{3} + 4921734799613907192 T^{4} - \)\(48\!\cdots\!51\)\( T^{5} + \)\(24\!\cdots\!43\)\( T^{6} \))(\( 1 + 72700 T + 7283604532 T^{2} + 314621051775212 T^{3} + 16093744308113184182 T^{4} + \)\(42\!\cdots\!84\)\( T^{5} + \)\(13\!\cdots\!68\)\( T^{6} + \)\(17\!\cdots\!00\)\( T^{7} + \)\(33\!\cdots\!01\)\( T^{8} \))(\( 1 - 72700 T + 7283604532 T^{2} - 314621051775212 T^{3} + 16093744308113184182 T^{4} - \)\(42\!\cdots\!84\)\( T^{5} + \)\(13\!\cdots\!68\)\( T^{6} - \)\(17\!\cdots\!00\)\( T^{7} + \)\(33\!\cdots\!01\)\( T^{8} \))(\( 1 - 2088083650 T^{2} + 1822837804551761449 T^{4} \))(\( 1 - 2696981350 T^{2} + 1822837804551761449 T^{4} \))(\( 1 - 2567032450 T^{2} + 1822837804551761449 T^{4} \))(\( 1 - 2459007190 T^{2} + 1822837804551761449 T^{4} \))(\( 1 - 437725858 T^{2} + 1822837804551761449 T^{4} \))(\( 1 - 2224486870 T^{2} + 1822837804551761449 T^{4} \))(\( 1 - 2526616885 T^{2} + 1822837804551761449 T^{4} \))(\( 1 + 764720282 T^{2} + 1822837804551761449 T^{4} \))(\( 1 - 1563076930 T^{2} + 1822837804551761449 T^{4} \))(\( 1 + 1017334570 T^{2} + 1822837804551761449 T^{4} \))(\( 1 + 518496542 T^{2} + 1822837804551761449 T^{4} \))(\( 1 - 1448611388 T^{2} + 3060385933795078038 T^{4} - \)\(26\!\cdots\!12\)\( T^{6} + \)\(33\!\cdots\!01\)\( T^{8} \))(\( 1 - 974988050 T^{2} + 2516736182389071123 T^{4} - \)\(17\!\cdots\!50\)\( T^{6} + \)\(33\!\cdots\!01\)\( T^{8} \))(\( 1 - 4294993410 T^{2} + 8014205534576787523 T^{4} - \)\(78\!\cdots\!90\)\( T^{6} + \)\(33\!\cdots\!01\)\( T^{8} \))(\( 1 - 2982943418 T^{2} + 5751121538625041883 T^{4} - \)\(54\!\cdots\!82\)\( T^{6} + \)\(33\!\cdots\!01\)\( T^{8} \))(\( 1 - 6588586311 T^{2} + 19273295040514514166 T^{4} - \)\(32\!\cdots\!63\)\( T^{6} + \)\(35\!\cdots\!34\)\( T^{8} - \)\(21\!\cdots\!11\)\( T^{10} + \)\(60\!\cdots\!49\)\( T^{12} \))(\( 1 + 1822837804551761449 T^{4} \))(\( 1 - 2056557036860651602 T^{4} + \)\(33\!\cdots\!01\)\( T^{8} \))(\( ( 1 - 100434 T + 5043494178 T^{2} - 135598464996438 T^{3} + 1822837804551761449 T^{4} )( 1 + 100434 T + 5043494178 T^{2} + 135598464996438 T^{3} + 1822837804551761449 T^{4} ) \))(\( 1 + 746452483343412398 T^{4} + \)\(33\!\cdots\!01\)\( T^{8} \))(\( ( 1 - 3848828653624431236 T^{4} + \)\(99\!\cdots\!26\)\( T^{8} - \)\(12\!\cdots\!36\)\( T^{12} + \)\(11\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 - 781517219625287954 T^{4} - \)\(31\!\cdots\!69\)\( T^{8} - \)\(25\!\cdots\!54\)\( T^{12} + \)\(11\!\cdots\!01\)\( T^{16} )^{2} \))(\( 1 - 2038648142805486290 T^{4} - \)\(25\!\cdots\!55\)\( T^{8} + \)\(14\!\cdots\!20\)\( T^{12} + \)\(73\!\cdots\!10\)\( T^{16} - \)\(57\!\cdots\!48\)\( T^{20} + \)\(24\!\cdots\!10\)\( T^{24} + \)\(15\!\cdots\!20\)\( T^{28} - \)\(93\!\cdots\!55\)\( T^{32} - \)\(24\!\cdots\!90\)\( T^{36} + \)\(40\!\cdots\!01\)\( T^{40} \))
$71$ (\( 1 + 42372 T + 1804229351 T^{2} \))(\( 1 + 948 T + 1804229351 T^{2} \))(\( 1 - 4248 T + 1804229351 T^{2} \))(\( 1 - 46872 T + 1804229351 T^{2} \))(\( 1 - 7548 T + 1804229351 T^{2} \))(\( 1 - 55312 T + 1804229351 T^{2} \))(\( 1 - 32648 T + 1804229351 T^{2} \))(\( 1 + 45588 T + 1804229351 T^{2} \))(\( 1 + 70212 T + 1804229351 T^{2} \))(\( 1 - 7548 T + 1804229351 T^{2} \))(\( 1 - 4248 T + 1804229351 T^{2} \))(\( 1 - 31960 T + 1804229351 T^{2} \))(\( 1 - 29532 T + 1804229351 T^{2} \))(\( 1 - 24528 T + 1804229351 T^{2} \))(\( 1 - 87296 T + 5453356606 T^{2} - 157502005424896 T^{3} + 3255243551009881201 T^{4} \))(\( 1 + 2736 T + 2006886526 T^{2} + 4936371504336 T^{3} + 3255243551009881201 T^{4} \))(\( 1 + 47208 T + 4011779662 T^{2} + 85174059202008 T^{3} + 3255243551009881201 T^{4} \))(\( 1 + 7448 T + 3593807902 T^{2} + 13437900206248 T^{3} + 3255243551009881201 T^{4} \))(\( ( 1 + 37608 T + 1804229351 T^{2} )^{2} \))(\( ( 1 + 53352 T + 1804229351 T^{2} )^{2} \))(\( 1 + 7448 T + 3593807902 T^{2} + 13437900206248 T^{3} + 3255243551009881201 T^{4} \))(\( 1 + 2736 T + 2006886526 T^{2} + 4936371504336 T^{3} + 3255243551009881201 T^{4} \))(\( 1 - 87296 T + 5453356606 T^{2} - 157502005424896 T^{3} + 3255243551009881201 T^{4} \))(\( 1 + 86676 T + 6149511717 T^{2} + 281168787837912 T^{3} + 11095129534129805667 T^{4} + \)\(28\!\cdots\!76\)\( T^{5} + \)\(58\!\cdots\!51\)\( T^{6} \))(\( 1 + 86676 T + 6149511717 T^{2} + 281168787837912 T^{3} + 11095129534129805667 T^{4} + \)\(28\!\cdots\!76\)\( T^{5} + \)\(58\!\cdots\!51\)\( T^{6} \))(\( 1 - 62816 T + 3398787356 T^{2} - 184024084124896 T^{3} + 8353296562609817510 T^{4} - \)\(33\!\cdots\!96\)\( T^{5} + \)\(11\!\cdots\!56\)\( T^{6} - \)\(36\!\cdots\!16\)\( T^{7} + \)\(10\!\cdots\!01\)\( T^{8} \))(\( 1 - 62816 T + 3398787356 T^{2} - 184024084124896 T^{3} + 8353296562609817510 T^{4} - \)\(33\!\cdots\!96\)\( T^{5} + \)\(11\!\cdots\!56\)\( T^{6} - \)\(36\!\cdots\!16\)\( T^{7} + \)\(10\!\cdots\!01\)\( T^{8} \))(\( ( 1 + 42372 T + 1804229351 T^{2} )^{2} \))(\( ( 1 - 24528 T + 1804229351 T^{2} )^{2} \))(\( ( 1 - 29532 T + 1804229351 T^{2} )^{2} \))(\( ( 1 - 31960 T + 1804229351 T^{2} )^{2} \))(\( ( 1 + 948 T + 1804229351 T^{2} )^{2} \))(\( ( 1 - 46872 T + 1804229351 T^{2} )^{2} \))(\( ( 1 - 7548 T + 1804229351 T^{2} )^{2} \))(\( ( 1 - 55312 T + 1804229351 T^{2} )^{2} \))(\( ( 1 + 70212 T + 1804229351 T^{2} )^{2} \))(\( ( 1 - 32648 T + 1804229351 T^{2} )^{2} \))(\( ( 1 + 45588 T + 1804229351 T^{2} )^{2} \))(\( ( 1 + 47208 T + 4011779662 T^{2} + 85174059202008 T^{3} + 3255243551009881201 T^{4} )^{2} \))(\( ( 1 + 2736 T + 2006886526 T^{2} + 4936371504336 T^{3} + 3255243551009881201 T^{4} )^{2} \))(\( ( 1 - 87296 T + 5453356606 T^{2} - 157502005424896 T^{3} + 3255243551009881201 T^{4} )^{2} \))(\( ( 1 + 7448 T + 3593807902 T^{2} + 13437900206248 T^{3} + 3255243551009881201 T^{4} )^{2} \))(\( ( 1 + 86676 T + 6149511717 T^{2} + 281168787837912 T^{3} + 11095129534129805667 T^{4} + \)\(28\!\cdots\!76\)\( T^{5} + \)\(58\!\cdots\!51\)\( T^{6} )^{2} \))(\( ( 1 - 1804229351 T^{2} )^{2} \))(\( ( 1 + 894616798 T^{2} + 3255243551009881201 T^{4} )^{2} \))(\( ( 1 - 1804229351 T^{2} )^{4} \))(\( ( 1 - 217623202 T^{2} + 3255243551009881201 T^{4} )^{2} \))(\( ( 1 - 4824772508 T^{2} + 11794951925910282918 T^{4} - \)\(15\!\cdots\!08\)\( T^{6} + \)\(10\!\cdots\!01\)\( T^{8} )^{4} \))(\( ( 1 - 3514926404 T^{2} + 6173916302803855206 T^{4} - \)\(11\!\cdots\!04\)\( T^{6} + \)\(10\!\cdots\!01\)\( T^{8} )^{4} \))(\( ( 1 - 14421599170 T^{2} + 96751044929093627565 T^{4} - \)\(40\!\cdots\!20\)\( T^{6} + \)\(11\!\cdots\!70\)\( T^{8} - \)\(24\!\cdots\!24\)\( T^{10} + \)\(37\!\cdots\!70\)\( T^{12} - \)\(42\!\cdots\!20\)\( T^{14} + \)\(33\!\cdots\!65\)\( T^{16} - \)\(16\!\cdots\!70\)\( T^{18} + \)\(36\!\cdots\!01\)\( T^{20} )^{2} \))
$73$ (\( 1 - 52126 T + 2073071593 T^{2} \))(\( 1 - 63102 T + 2073071593 T^{2} \))(\( 1 - 30104 T + 2073071593 T^{2} \))(\( 1 + 67562 T + 2073071593 T^{2} \))(\( 1 - 59821 T + 2073071593 T^{2} \))(\( 1 + 27258 T + 2073071593 T^{2} \))(\( 1 - 38774 T + 2073071593 T^{2} \))(\( 1 + 11842 T + 2073071593 T^{2} \))(\( 1 + 21986 T + 2073071593 T^{2} \))(\( 1 + 59821 T + 2073071593 T^{2} \))(\( 1 + 30104 T + 2073071593 T^{2} \))(\( 1 - 4886 T + 2073071593 T^{2} \))(\( 1 + 33698 T + 2073071593 T^{2} \))(\( 1 + 20474 T + 2073071593 T^{2} \))(\( 1 + 70290 T + 5306812435 T^{2} + 145716202271970 T^{3} + 4297625829703557649 T^{4} \))(\( 1 - 12770 T + 4184025507 T^{2} - 26473124242610 T^{3} + 4297625829703557649 T^{4} \))(\( 1 - 67452 T + 4400780438 T^{2} - 139832825091036 T^{3} + 4297625829703557649 T^{4} \))(\( 1 + 108822 T + 7105450763 T^{2} + 225595796893446 T^{3} + 4297625829703557649 T^{4} \))(\( 1 + 3569749522 T^{2} + 4297625829703557649 T^{4} \))(\( 1 - 883886830 T^{2} + 4297625829703557649 T^{4} \))(\( 1 - 108822 T + 7105450763 T^{2} - 225595796893446 T^{3} + 4297625829703557649 T^{4} \))(\( 1 + 12770 T + 4184025507 T^{2} + 26473124242610 T^{3} + 4297625829703557649 T^{4} \))(\( 1 - 70290 T + 5306812435 T^{2} - 145716202271970 T^{3} + 4297625829703557649 T^{4} \))(\( 1 - 8305 T - 51125178 T^{2} + 126365418680971 T^{3} - 105986154198868554 T^{4} - \)\(35\!\cdots\!45\)\( T^{5} + \)\(89\!\cdots\!57\)\( T^{6} \))(\( 1 + 8305 T - 51125178 T^{2} - 126365418680971 T^{3} - 105986154198868554 T^{4} + \)\(35\!\cdots\!45\)\( T^{5} + \)\(89\!\cdots\!57\)\( T^{6} \))(\( 1 - 133072 T + 13424418340 T^{2} - 846379227250928 T^{3} + 45561026057566462310 T^{4} - \)\(17\!\cdots\!04\)\( T^{5} + \)\(57\!\cdots\!60\)\( T^{6} - \)\(11\!\cdots\!04\)\( T^{7} + \)\(18\!\cdots\!01\)\( T^{8} \))(\( 1 + 133072 T + 13424418340 T^{2} + 846379227250928 T^{3} + 45561026057566462310 T^{4} + \)\(17\!\cdots\!04\)\( T^{5} + \)\(57\!\cdots\!60\)\( T^{6} + \)\(11\!\cdots\!04\)\( T^{7} + \)\(18\!\cdots\!01\)\( T^{8} \))(\( 1 - 1429023310 T^{2} + 4297625829703557649 T^{4} \))(\( 1 - 3726958510 T^{2} + 4297625829703557649 T^{4} \))(\( 1 - 3010587982 T^{2} + 4297625829703557649 T^{4} \))(\( 1 - 4122270190 T^{2} + 4297625829703557649 T^{4} \))(\( 1 - 164280782 T^{2} + 4297625829703557649 T^{4} \))(\( 1 + 418480658 T^{2} + 4297625829703557649 T^{4} \))(\( 1 - 567591145 T^{2} + 4297625829703557649 T^{4} \))(\( 1 - 3403144622 T^{2} + 4297625829703557649 T^{4} \))(\( 1 - 3662758990 T^{2} + 4297625829703557649 T^{4} \))(\( 1 - 2642720110 T^{2} + 4297625829703557649 T^{4} \))(\( 1 - 4005910222 T^{2} + 4297625829703557649 T^{4} \))(\( 1 - 4251788572 T^{2} + 9098112686809466598 T^{4} - \)\(18\!\cdots\!28\)\( T^{6} + \)\(18\!\cdots\!01\)\( T^{8} \))(\( 1 - 8204978114 T^{2} + 25425197509477462947 T^{4} - \)\(35\!\cdots\!86\)\( T^{6} + \)\(18\!\cdots\!01\)\( T^{8} \))(\( 1 - 5672940770 T^{2} + 16272726164284201923 T^{4} - \)\(24\!\cdots\!30\)\( T^{6} + \)\(18\!\cdots\!01\)\( T^{8} \))(\( 1 - 2368673842 T^{2} + 9983110585747236243 T^{4} - \)\(10\!\cdots\!58\)\( T^{6} + \)\(18\!\cdots\!01\)\( T^{8} \))(\( 1 + 171223381 T^{2} + 1889571079718722886 T^{4} - \)\(12\!\cdots\!47\)\( T^{6} + \)\(81\!\cdots\!14\)\( T^{8} + \)\(31\!\cdots\!81\)\( T^{10} + \)\(79\!\cdots\!49\)\( T^{12} \))(\( ( 1 - 88806 T + 2073071593 T^{2} )( 1 - 20144 T + 2073071593 T^{2} ) \))(\( ( 1 - 43230 T + 934416450 T^{2} - 89618884965390 T^{3} + 4297625829703557649 T^{4} )^{2} \))(\( ( 1 + 4297625829703557649 T^{4} )^{2} \))(\( ( 1 - 48110 T + 1157286050 T^{2} - 99735474339230 T^{3} + 4297625829703557649 T^{4} )^{2} \))(\( ( 1 - 7812032412068947388 T^{4} + \)\(45\!\cdots\!58\)\( T^{8} - \)\(14\!\cdots\!88\)\( T^{12} + \)\(34\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 - 6145542346827889154 T^{4} + \)\(19\!\cdots\!31\)\( T^{8} - \)\(11\!\cdots\!54\)\( T^{12} + \)\(34\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 + 132186 T + 8736569298 T^{2} + 431249337673738 T^{3} + 10750357541220477581 T^{4} - \)\(12\!\cdots\!88\)\( T^{5} - \)\(17\!\cdots\!84\)\( T^{6} - \)\(58\!\cdots\!44\)\( T^{7} + \)\(47\!\cdots\!06\)\( T^{8} + \)\(60\!\cdots\!08\)\( T^{9} + \)\(32\!\cdots\!04\)\( T^{10} + \)\(12\!\cdots\!44\)\( T^{11} + \)\(20\!\cdots\!94\)\( T^{12} - \)\(52\!\cdots\!08\)\( T^{13} - \)\(32\!\cdots\!84\)\( T^{14} - \)\(47\!\cdots\!84\)\( T^{15} + \)\(85\!\cdots\!69\)\( T^{16} + \)\(70\!\cdots\!66\)\( T^{17} + \)\(29\!\cdots\!98\)\( T^{18} + \)\(93\!\cdots\!98\)\( T^{19} + \)\(14\!\cdots\!49\)\( T^{20} )^{2} \))
$79$ (\( 1 - 39640 T + 3077056399 T^{2} \))(\( 1 + 46536 T + 3077056399 T^{2} \))(\( 1 + 35280 T + 3077056399 T^{2} \))(\( 1 - 76912 T + 3077056399 T^{2} \))(\( 1 + 75830 T + 3077056399 T^{2} \))(\( 1 + 31456 T + 3077056399 T^{2} \))(\( 1 - 33360 T + 3077056399 T^{2} \))(\( 1 + 94216 T + 3077056399 T^{2} \))(\( 1 + 4520 T + 3077056399 T^{2} \))(\( 1 + 75830 T + 3077056399 T^{2} \))(\( 1 + 35280 T + 3077056399 T^{2} \))(\( 1 + 44560 T + 3077056399 T^{2} \))(\( 1 + 31208 T + 3077056399 T^{2} \))(\( 1 - 46240 T + 3077056399 T^{2} \))(\( 1 + 65480 T + 5707696298 T^{2} + 201485653006520 T^{3} + 9468276082626847201 T^{4} \))(\( 1 - 16184 T + 6157384362 T^{2} - 49799080761416 T^{3} + 9468276082626847201 T^{4} \))(\( 1 - 65904 T + 3994274078 T^{2} - 202790324919696 T^{3} + 9468276082626847201 T^{4} \))(\( 1 - 108104 T + 6816153098 T^{2} - 332642104957496 T^{3} + 9468276082626847201 T^{4} \))(\( ( 1 + 79728 T + 3077056399 T^{2} )^{2} \))(\( ( 1 - 51920 T + 3077056399 T^{2} )^{2} \))(\( 1 - 108104 T + 6816153098 T^{2} - 332642104957496 T^{3} + 9468276082626847201 T^{4} \))(\( 1 - 16184 T + 6157384362 T^{2} - 49799080761416 T^{3} + 9468276082626847201 T^{4} \))(\( 1 + 65480 T + 5707696298 T^{2} + 201485653006520 T^{3} + 9468276082626847201 T^{4} \))(\( 1 + 21982 T + 8034849513 T^{2} + 109220050198796 T^{3} + 24723685108978683687 T^{4} + \)\(20\!\cdots\!82\)\( T^{5} + \)\(29\!\cdots\!99\)\( T^{6} \))(\( 1 + 21982 T + 8034849513 T^{2} + 109220050198796 T^{3} + 24723685108978683687 T^{4} + \)\(20\!\cdots\!82\)\( T^{5} + \)\(29\!\cdots\!99\)\( T^{6} \))(\( 1 - 21632 T + 7152876604 T^{2} - 332616618908288 T^{3} + 24121899620797566790 T^{4} - \)\(10\!\cdots\!12\)\( T^{5} + \)\(67\!\cdots\!04\)\( T^{6} - \)\(63\!\cdots\!68\)\( T^{7} + \)\(89\!\cdots\!01\)\( T^{8} \))(\( 1 - 21632 T + 7152876604 T^{2} - 332616618908288 T^{3} + 24121899620797566790 T^{4} - \)\(10\!\cdots\!12\)\( T^{5} + \)\(67\!\cdots\!04\)\( T^{6} - \)\(63\!\cdots\!68\)\( T^{7} + \)\(89\!\cdots\!01\)\( T^{8} \))(\( ( 1 + 39640 T + 3077056399 T^{2} )^{2} \))(\( ( 1 + 46240 T + 3077056399 T^{2} )^{2} \))(\( ( 1 - 31208 T + 3077056399 T^{2} )^{2} \))(\( ( 1 - 44560 T + 3077056399 T^{2} )^{2} \))(\( ( 1 - 46536 T + 3077056399 T^{2} )^{2} \))(\( ( 1 + 76912 T + 3077056399 T^{2} )^{2} \))(\( ( 1 - 75830 T + 3077056399 T^{2} )^{2} \))(\( ( 1 - 31456 T + 3077056399 T^{2} )^{2} \))(\( ( 1 - 4520 T + 3077056399 T^{2} )^{2} \))(\( ( 1 + 33360 T + 3077056399 T^{2} )^{2} \))(\( ( 1 - 94216 T + 3077056399 T^{2} )^{2} \))(\( ( 1 + 65904 T + 3994274078 T^{2} + 202790324919696 T^{3} + 9468276082626847201 T^{4} )^{2} \))(\( ( 1 + 16184 T + 6157384362 T^{2} + 49799080761416 T^{3} + 9468276082626847201 T^{4} )^{2} \))(\( ( 1 - 65480 T + 5707696298 T^{2} - 201485653006520 T^{3} + 9468276082626847201 T^{4} )^{2} \))(\( ( 1 + 108104 T + 6816153098 T^{2} + 332642104957496 T^{3} + 9468276082626847201 T^{4} )^{2} \))(\( ( 1 - 21982 T + 8034849513 T^{2} - 109220050198796 T^{3} + 24723685108978683687 T^{4} - \)\(20\!\cdots\!82\)\( T^{5} + \)\(29\!\cdots\!99\)\( T^{6} )^{2} \))(\( ( 1 + 3077056399 T^{2} )^{2} \))(\( ( 1 + 5673984798 T^{2} + 9468276082626847201 T^{4} )^{2} \))(\( ( 1 + 3077056399 T^{2} )^{4} \))(\( ( 1 - 2651775202 T^{2} + 9468276082626847201 T^{4} )^{2} \))(\( ( 1 - 2491384004 T^{2} + 19567994461503662406 T^{4} - \)\(23\!\cdots\!04\)\( T^{6} + \)\(89\!\cdots\!01\)\( T^{8} )^{4} \))(\( ( 1 + 5543729596 T^{2} + 26465430950045275206 T^{4} + \)\(52\!\cdots\!96\)\( T^{6} + \)\(89\!\cdots\!01\)\( T^{8} )^{4} \))(\( ( 1 + 18614864790 T^{2} + \)\(16\!\cdots\!45\)\( T^{4} + \)\(10\!\cdots\!80\)\( T^{6} + \)\(44\!\cdots\!10\)\( T^{8} + \)\(15\!\cdots\!48\)\( T^{10} + \)\(42\!\cdots\!10\)\( T^{12} + \)\(90\!\cdots\!80\)\( T^{14} + \)\(14\!\cdots\!45\)\( T^{16} + \)\(14\!\cdots\!90\)\( T^{18} + \)\(76\!\cdots\!01\)\( T^{20} )^{2} \))
$83$ (\( 1 + 59826 T + 3939040643 T^{2} \))(\( 1 + 88778 T + 3939040643 T^{2} \))(\( 1 - 27826 T + 3939040643 T^{2} \))(\( 1 - 67716 T + 3939040643 T^{2} \))(\( 1 - 46299 T + 3939040643 T^{2} \))(\( 1 - 24552 T + 3939040643 T^{2} \))(\( 1 - 16716 T + 3939040643 T^{2} \))(\( 1 + 31482 T + 3939040643 T^{2} \))(\( 1 + 109074 T + 3939040643 T^{2} \))(\( 1 + 46299 T + 3939040643 T^{2} \))(\( 1 + 27826 T + 3939040643 T^{2} \))(\( 1 - 67364 T + 3939040643 T^{2} \))(\( 1 + 38466 T + 3939040643 T^{2} \))(\( 1 + 51576 T + 3939040643 T^{2} \))(\( 1 + 92580 T + 9976491505 T^{2} + 364676382728940 T^{3} + 15516041187205853449 T^{4} \))(\( 1 - 30300 T + 4057027705 T^{2} - 119352931482900 T^{3} + 15516041187205853449 T^{4} \))(\( 1 - 108724 T + 10572459494 T^{2} - 428268254869532 T^{3} + 15516041187205853449 T^{4} \))(\( 1 + 27224 T + 4507827109 T^{2} + 107236442465032 T^{3} + 15516041187205853449 T^{4} \))(\( 1 + 7612675530 T^{2} + 15516041187205853449 T^{4} \))(\( 1 + 4053674810 T^{2} + 15516041187205853449 T^{4} \))(\( 1 - 27224 T + 4507827109 T^{2} - 107236442465032 T^{3} + 15516041187205853449 T^{4} \))(\( 1 + 30300 T + 4057027705 T^{2} + 119352931482900 T^{3} + 15516041187205853449 T^{4} \))(\( 1 - 92580 T + 9976491505 T^{2} - 364676382728940 T^{3} + 15516041187205853449 T^{4} \))(\( 1 - 213353 T + 26132961424 T^{2} - 1969967057862869 T^{3} + \)\(10\!\cdots\!32\)\( T^{4} - \)\(33\!\cdots\!97\)\( T^{5} + \)\(61\!\cdots\!07\)\( T^{6} \))(\( 1 + 213353 T + 26132961424 T^{2} + 1969967057862869 T^{3} + \)\(10\!\cdots\!32\)\( T^{4} + \)\(33\!\cdots\!97\)\( T^{5} + \)\(61\!\cdots\!07\)\( T^{6} \))(\( 1 + 74660 T + 6167006708 T^{2} + 554766838355444 T^{3} + 42874466663031633142 T^{4} + \)\(21\!\cdots\!92\)\( T^{5} + \)\(95\!\cdots\!92\)\( T^{6} + \)\(45\!\cdots\!20\)\( T^{7} + \)\(24\!\cdots\!01\)\( T^{8} \))(\( 1 - 74660 T + 6167006708 T^{2} - 554766838355444 T^{3} + 42874466663031633142 T^{4} - \)\(21\!\cdots\!92\)\( T^{5} + \)\(95\!\cdots\!92\)\( T^{6} - \)\(45\!\cdots\!20\)\( T^{7} + \)\(24\!\cdots\!01\)\( T^{8} \))(\( 1 - 4298931010 T^{2} + 15516041187205853449 T^{4} \))(\( 1 - 5217997510 T^{2} + 15516041187205853449 T^{4} \))(\( 1 - 6398448130 T^{2} + 15516041187205853449 T^{4} \))(\( 1 - 3340172790 T^{2} + 15516041187205853449 T^{4} \))(\( 1 + 3451998 T^{2} + 15516041187205853449 T^{4} \))(\( 1 - 3292624630 T^{2} + 15516041187205853449 T^{4} \))(\( 1 - 5734483885 T^{2} + 15516041187205853449 T^{4} \))(\( 1 - 7275280582 T^{2} + 15516041187205853449 T^{4} \))(\( 1 + 4019056190 T^{2} + 15516041187205853449 T^{4} \))(\( 1 - 7598656630 T^{2} + 15516041187205853449 T^{4} \))(\( 1 - 6886964962 T^{2} + 15516041187205853449 T^{4} \))(\( 1 - 9324010812 T^{2} + 49682906641812448598 T^{4} - \)\(14\!\cdots\!88\)\( T^{6} + \)\(24\!\cdots\!01\)\( T^{8} \))(\( 1 - 7195965410 T^{2} + 40258768525685533923 T^{4} - \)\(11\!\cdots\!90\)\( T^{6} + \)\(24\!\cdots\!01\)\( T^{8} \))(\( 1 - 11381926610 T^{2} + 63038986097658341523 T^{4} - \)\(17\!\cdots\!90\)\( T^{6} + \)\(24\!\cdots\!01\)\( T^{8} \))(\( 1 - 8274508042 T^{2} + 45513777799710942443 T^{4} - \)\(12\!\cdots\!58\)\( T^{6} + \)\(24\!\cdots\!01\)\( T^{8} \))(\( 1 - 6746420239 T^{2} + 48212503738013039526 T^{4} - \)\(20\!\cdots\!07\)\( T^{6} + \)\(74\!\cdots\!74\)\( T^{8} - \)\(16\!\cdots\!39\)\( T^{10} + \)\(37\!\cdots\!49\)\( T^{12} \))(\( 1 + 15516041187205853449 T^{4} \))(\( 1 - 7276763020942840082 T^{4} + \)\(24\!\cdots\!01\)\( T^{8} \))(\( ( 1 - 163262 T + 13327240322 T^{2} - 643095653457466 T^{3} + 15516041187205853449 T^{4} )( 1 + 163262 T + 13327240322 T^{2} + 643095653457466 T^{3} + 15516041187205853449 T^{4} ) \))(\( 1 - 2557737354504584722 T^{4} + \)\(24\!\cdots\!01\)\( T^{8} \))(\( ( 1 - 47542746799669748228 T^{4} + \)\(10\!\cdots\!78\)\( T^{8} - \)\(11\!\cdots\!28\)\( T^{12} + \)\(57\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 - 13901768059381264754 T^{4} + \)\(21\!\cdots\!31\)\( T^{8} - \)\(33\!\cdots\!54\)\( T^{12} + \)\(57\!\cdots\!01\)\( T^{16} )^{2} \))(\( 1 - 18609684090616711570 T^{4} - \)\(46\!\cdots\!35\)\( T^{8} + \)\(34\!\cdots\!80\)\( T^{12} + \)\(25\!\cdots\!70\)\( T^{16} - \)\(17\!\cdots\!24\)\( T^{20} + \)\(60\!\cdots\!70\)\( T^{24} + \)\(20\!\cdots\!80\)\( T^{28} - \)\(64\!\cdots\!35\)\( T^{32} - \)\(62\!\cdots\!70\)\( T^{36} + \)\(80\!\cdots\!01\)\( T^{40} \))
$89$ (\( 1 - 57690 T + 5584059449 T^{2} \))(\( 1 + 104934 T + 5584059449 T^{2} \))(\( 1 + 85210 T + 5584059449 T^{2} \))(\( 1 - 29754 T + 5584059449 T^{2} \))(\( 1 + 30585 T + 5584059449 T^{2} \))(\( 1 + 90854 T + 5584059449 T^{2} \))(\( 1 - 101370 T + 5584059449 T^{2} \))(\( 1 + 94054 T + 5584059449 T^{2} \))(\( 1 - 38490 T + 5584059449 T^{2} \))(\( 1 + 30585 T + 5584059449 T^{2} \))(\( 1 + 85210 T + 5584059449 T^{2} \))(\( 1 - 71994 T + 5584059449 T^{2} \))(\( 1 - 119514 T + 5584059449 T^{2} \))(\( 1 + 110310 T + 5584059449 T^{2} \))(\( 1 + 72810 T + 5926578523 T^{2} + 406575368481690 T^{3} + 31181719929966183601 T^{4} \))(\( 1 + 47322 T - 1006825781 T^{2} + 264248861245578 T^{3} + 31181719929966183601 T^{4} \))(\( 1 + 55020 T + 10818978262 T^{2} + 307234950883980 T^{3} + 31181719929966183601 T^{4} \))(\( 1 - 70990 T + 6345035107 T^{2} - 396412380284510 T^{3} + 31181719929966183601 T^{4} \))(\( ( 1 + 826 T + 5584059449 T^{2} )^{2} \))(\( ( 1 - 9990 T + 5584059449 T^{2} )^{2} \))(\( 1 - 70990 T + 6345035107 T^{2} - 396412380284510 T^{3} + 31181719929966183601 T^{4} \))(\( 1 + 47322 T - 1006825781 T^{2} + 264248861245578 T^{3} + 31181719929966183601 T^{4} \))(\( 1 + 72810 T + 5926578523 T^{2} + 406575368481690 T^{3} + 31181719929966183601 T^{4} \))(\( 1 - 182381 T + 27173913486 T^{2} - 2227663367824697 T^{3} + \)\(15\!\cdots\!14\)\( T^{4} - \)\(56\!\cdots\!81\)\( T^{5} + \)\(17\!\cdots\!49\)\( T^{6} \))(\( 1 - 182381 T + 27173913486 T^{2} - 2227663367824697 T^{3} + \)\(15\!\cdots\!14\)\( T^{4} - \)\(56\!\cdots\!81\)\( T^{5} + \)\(17\!\cdots\!49\)\( T^{6} \))(\( 1 - 20952 T + 16118164796 T^{2} - 497915996461992 T^{3} + \)\(11\!\cdots\!30\)\( T^{4} - \)\(27\!\cdots\!08\)\( T^{5} + \)\(50\!\cdots\!96\)\( T^{6} - \)\(36\!\cdots\!48\)\( T^{7} + \)\(97\!\cdots\!01\)\( T^{8} \))(\( 1 - 20952 T + 16118164796 T^{2} - 497915996461992 T^{3} + \)\(11\!\cdots\!30\)\( T^{4} - \)\(27\!\cdots\!08\)\( T^{5} + \)\(50\!\cdots\!96\)\( T^{6} - \)\(36\!\cdots\!48\)\( T^{7} + \)\(97\!\cdots\!01\)\( T^{8} \))(\( ( 1 + 57690 T + 5584059449 T^{2} )^{2} \))(\( ( 1 - 110310 T + 5584059449 T^{2} )^{2} \))(\( ( 1 + 119514 T + 5584059449 T^{2} )^{2} \))(\( ( 1 + 71994 T + 5584059449 T^{2} )^{2} \))(\( ( 1 - 104934 T + 5584059449 T^{2} )^{2} \))(\( ( 1 + 29754 T + 5584059449 T^{2} )^{2} \))(\( ( 1 - 30585 T + 5584059449 T^{2} )^{2} \))(\( ( 1 - 90854 T + 5584059449 T^{2} )^{2} \))(\( ( 1 + 38490 T + 5584059449 T^{2} )^{2} \))(\( ( 1 + 101370 T + 5584059449 T^{2} )^{2} \))(\( ( 1 - 94054 T + 5584059449 T^{2} )^{2} \))(\( ( 1 - 55020 T + 10818978262 T^{2} - 307234950883980 T^{3} + 31181719929966183601 T^{4} )^{2} \))(\( ( 1 - 47322 T - 1006825781 T^{2} - 264248861245578 T^{3} + 31181719929966183601 T^{4} )^{2} \))(\( ( 1 - 72810 T + 5926578523 T^{2} - 406575368481690 T^{3} + 31181719929966183601 T^{4} )^{2} \))(\( ( 1 + 70990 T + 6345035107 T^{2} + 396412380284510 T^{3} + 31181719929966183601 T^{4} )^{2} \))(\( ( 1 + 182381 T + 27173913486 T^{2} + 2227663367824697 T^{3} + \)\(15\!\cdots\!14\)\( T^{4} + \)\(56\!\cdots\!81\)\( T^{5} + \)\(17\!\cdots\!49\)\( T^{6} )^{2} \))(\( ( 1 - 51050 T + 5584059449 T^{2} )( 1 + 51050 T + 5584059449 T^{2} ) \))(\( ( 1 + 1924732878 T^{2} + 31181719929966183601 T^{4} )^{2} \))(\( ( 1 + 11118190898 T^{2} + 31181719929966183601 T^{4} )^{2} \))(\( ( 1 - 5648223282 T^{2} + 31181719929966183601 T^{4} )^{2} \))(\( ( 1 - 13844675228 T^{2} + \)\(10\!\cdots\!18\)\( T^{4} - \)\(43\!\cdots\!28\)\( T^{6} + \)\(97\!\cdots\!01\)\( T^{8} )^{4} \))(\( ( 1 - 15460115954 T^{2} + \)\(12\!\cdots\!31\)\( T^{4} - \)\(48\!\cdots\!54\)\( T^{6} + \)\(97\!\cdots\!01\)\( T^{8} )^{4} \))(\( ( 1 - 33120686970 T^{2} + \)\(41\!\cdots\!65\)\( T^{4} - \)\(20\!\cdots\!20\)\( T^{6} - \)\(32\!\cdots\!30\)\( T^{8} + \)\(73\!\cdots\!76\)\( T^{10} - \)\(10\!\cdots\!30\)\( T^{12} - \)\(20\!\cdots\!20\)\( T^{14} + \)\(12\!\cdots\!65\)\( T^{16} - \)\(31\!\cdots\!70\)\( T^{18} + \)\(29\!\cdots\!01\)\( T^{20} )^{2} \))
$97$ (\( 1 - 144382 T + 8587340257 T^{2} \))(\( 1 - 36254 T + 8587340257 T^{2} \))(\( 1 + 97232 T + 8587340257 T^{2} \))(\( 1 - 122398 T + 8587340257 T^{2} \))(\( 1 + 104018 T + 8587340257 T^{2} \))(\( 1 + 154706 T + 8587340257 T^{2} \))(\( 1 - 119038 T + 8587340257 T^{2} \))(\( 1 + 23714 T + 8587340257 T^{2} \))(\( 1 - 1918 T + 8587340257 T^{2} \))(\( 1 - 104018 T + 8587340257 T^{2} \))(\( 1 - 97232 T + 8587340257 T^{2} \))(\( 1 + 48866 T + 8587340257 T^{2} \))(\( 1 + 94658 T + 8587340257 T^{2} \))(\( 1 - 78382 T + 8587340257 T^{2} \))(\( 1 + 126140 T + 13936294470 T^{2} + 1083207100017980 T^{3} + 73742412689492826049 T^{4} \))(\( 1 + 2980 T + 14115250950 T^{2} + 25590273965860 T^{3} + 73742412689492826049 T^{4} \))(\( 1 + 147668 T + 11612429670 T^{2} + 1268075361070676 T^{3} + 73742412689492826049 T^{4} \))(\( 1 + 96852 T + 16039717990 T^{2} + 831701078570964 T^{3} + 73742412689492826049 T^{4} \))(\( 1 + 15761405890 T^{2} + 73742412689492826049 T^{4} \))(\( 1 + 6923133890 T^{2} + 73742412689492826049 T^{4} \))(\( 1 - 96852 T + 16039717990 T^{2} - 831701078570964 T^{3} + 73742412689492826049 T^{4} \))(\( 1 - 2980 T + 14115250950 T^{2} - 25590273965860 T^{3} + 73742412689492826049 T^{4} \))(\( 1 - 126140 T + 13936294470 T^{2} - 1083207100017980 T^{3} + 73742412689492826049 T^{4} \))(\( 1 - 76342 T + 16917659759 T^{2} - 1144576356113332 T^{3} + \)\(14\!\cdots\!63\)\( T^{4} - \)\(56\!\cdots\!58\)\( T^{5} + \)\(63\!\cdots\!93\)\( T^{6} \))(\( 1 + 76342 T + 16917659759 T^{2} + 1144576356113332 T^{3} + \)\(14\!\cdots\!63\)\( T^{4} + \)\(56\!\cdots\!58\)\( T^{5} + \)\(63\!\cdots\!93\)\( T^{6} \))(\( 1 - 59456 T + 24399465604 T^{2} - 684112850575552 T^{3} + \)\(25\!\cdots\!74\)\( T^{4} - \)\(58\!\cdots\!64\)\( T^{5} + \)\(17\!\cdots\!96\)\( T^{6} - \)\(37\!\cdots\!08\)\( T^{7} + \)\(54\!\cdots\!01\)\( T^{8} \))(\( 1 + 59456 T + 24399465604 T^{2} + 684112850575552 T^{3} + \)\(25\!\cdots\!74\)\( T^{4} + \)\(58\!\cdots\!64\)\( T^{5} + \)\(17\!\cdots\!96\)\( T^{6} + \)\(37\!\cdots\!08\)\( T^{7} + \)\(54\!\cdots\!01\)\( T^{8} \))(\( 1 + 3671481410 T^{2} + 73742412689492826049 T^{4} \))(\( 1 - 11030942590 T^{2} + 73742412689492826049 T^{4} \))(\( 1 - 8214543550 T^{2} + 73742412689492826049 T^{4} \))(\( 1 - 14786794558 T^{2} + 73742412689492826049 T^{4} \))(\( 1 - 15860327998 T^{2} + 73742412689492826049 T^{4} \))(\( 1 - 2193410110 T^{2} + 73742412689492826049 T^{4} \))(\( 1 - 6354936190 T^{2} + 73742412689492826049 T^{4} \))(\( 1 + 6759265922 T^{2} + 73742412689492826049 T^{4} \))(\( 1 - 17171001790 T^{2} + 73742412689492826049 T^{4} \))(\( 1 - 3004635070 T^{2} + 73742412689492826049 T^{4} \))(\( 1 - 16612326718 T^{2} + 73742412689492826049 T^{4} \))(\( 1 - 1419021116 T^{2} - 92174956617487206138 T^{4} - \)\(10\!\cdots\!84\)\( T^{6} + \)\(54\!\cdots\!01\)\( T^{8} \))(\( 1 - 28221621500 T^{2} + \)\(34\!\cdots\!98\)\( T^{4} - \)\(20\!\cdots\!00\)\( T^{6} + \)\(54\!\cdots\!01\)\( T^{8} \))(\( 1 - 11961289340 T^{2} + 68433641741002238598 T^{4} - \)\(88\!\cdots\!60\)\( T^{6} + \)\(54\!\cdots\!01\)\( T^{8} \))(\( 1 - 22699126076 T^{2} + \)\(24\!\cdots\!42\)\( T^{4} - \)\(16\!\cdots\!24\)\( T^{6} + \)\(54\!\cdots\!01\)\( T^{8} \))(\( 1 - 28007218554 T^{2} + \)\(40\!\cdots\!19\)\( T^{4} - \)\(40\!\cdots\!24\)\( T^{6} + \)\(29\!\cdots\!31\)\( T^{8} - \)\(15\!\cdots\!54\)\( T^{10} + \)\(40\!\cdots\!49\)\( T^{12} \))(\( ( 1 - 160808 T + 8587340257 T^{2} )( 1 - 92142 T + 8587340257 T^{2} ) \))(\( ( 1 - 1230 T + 756450 T^{2} - 10562428516110 T^{3} + 73742412689492826049 T^{4} )^{2} \))(\( ( 1 + 73742412689492826049 T^{4} )^{2} \))(\( ( 1 - 98510 T + 4852110050 T^{2} - 845938888717070 T^{3} + 73742412689492826049 T^{4} )^{2} \))(\( ( 1 - \)\(11\!\cdots\!04\)\( T^{4} + \)\(12\!\cdots\!06\)\( T^{8} - \)\(63\!\cdots\!04\)\( T^{12} + \)\(29\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 + 9123826567795128196 T^{4} + \)\(95\!\cdots\!06\)\( T^{8} + \)\(49\!\cdots\!96\)\( T^{12} + \)\(29\!\cdots\!01\)\( T^{16} )^{2} \))(\( ( 1 + 187386 T + 17556756498 T^{2} + 497237634071002 T^{3} - \)\(23\!\cdots\!35\)\( T^{4} - \)\(42\!\cdots\!24\)\( T^{5} - \)\(37\!\cdots\!32\)\( T^{6} - \)\(18\!\cdots\!68\)\( T^{7} + \)\(11\!\cdots\!50\)\( T^{8} + \)\(33\!\cdots\!76\)\( T^{9} + \)\(36\!\cdots\!68\)\( T^{10} + \)\(29\!\cdots\!32\)\( T^{11} + \)\(87\!\cdots\!50\)\( T^{12} - \)\(11\!\cdots\!24\)\( T^{13} - \)\(20\!\cdots\!32\)\( T^{14} - \)\(19\!\cdots\!68\)\( T^{15} - \)\(93\!\cdots\!15\)\( T^{16} + \)\(17\!\cdots\!86\)\( T^{17} + \)\(51\!\cdots\!98\)\( T^{18} + \)\(47\!\cdots\!02\)\( T^{19} + \)\(21\!\cdots\!49\)\( T^{20} )^{2} \))
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