Properties

Label 735.4
Level 735
Weight 4
Dimension 36950
Nonzero newspaces 24
Sturm bound 150528
Trace bound 4

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Defining parameters

Level: \( N \) = \( 735\( 735 = 3 \cdot 5 \cdot 7^{2} \) \)
Weight: \( k \) = \( 4 \)
Nonzero newspaces: \( 24 \)
Sturm bound: \(150528\)
Trace bound: \(4\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(\Gamma_1(735))\).

Total New Old
Modular forms 57408 37534 19874
Cusp forms 55488 36950 18538
Eisenstein series 1920 584 1336

Trace form

\( 36950q + 4q^{2} - 12q^{3} - 84q^{4} - 42q^{5} - 222q^{6} - 168q^{7} + 180q^{8} + 120q^{9} + O(q^{10}) \) \( 36950q + 4q^{2} - 12q^{3} - 84q^{4} - 42q^{5} - 222q^{6} - 168q^{7} + 180q^{8} + 120q^{9} - 78q^{10} - 56q^{11} - 294q^{12} - 208q^{13} - 624q^{14} - 291q^{15} - 356q^{16} - 8q^{17} + 858q^{18} + 1940q^{19} + 1652q^{20} + 1068q^{21} + 1148q^{22} - 960q^{23} - 1266q^{24} - 3532q^{25} - 4592q^{26} - 1332q^{27} - 3048q^{28} - 1420q^{29} + 33q^{30} - 412q^{31} + 3308q^{32} + 606q^{33} + 4772q^{34} + 2532q^{35} + 6342q^{36} - 984q^{37} + 256q^{38} + 1770q^{39} - 2294q^{40} - 1708q^{41} + 4038q^{42} + 4376q^{43} + 12824q^{44} + 429q^{45} + 14828q^{46} + 5272q^{47} + 4536q^{48} + 11376q^{49} + 2116q^{50} - 5742q^{51} + 492q^{52} - 3584q^{53} - 16866q^{54} - 14418q^{55} - 13500q^{56} - 10002q^{57} - 24172q^{58} - 19136q^{59} - 8967q^{60} - 8520q^{61} - 9336q^{62} + 2916q^{63} + 22308q^{64} + 15808q^{65} + 21162q^{66} + 27952q^{67} + 29384q^{68} + 6726q^{69} + 21234q^{70} + 10208q^{71} - 9462q^{72} + 1568q^{73} + 11576q^{74} - 2895q^{75} - 10700q^{76} + 1512q^{77} - 7614q^{78} - 11660q^{79} - 36850q^{80} - 12756q^{81} - 67992q^{82} - 41496q^{83} - 34332q^{84} - 29454q^{85} - 34508q^{86} + 4650q^{87} - 23208q^{88} + 516q^{89} + 34896q^{90} + 19884q^{91} + 21636q^{92} + 42906q^{93} + 69656q^{94} + 36568q^{95} + 49464q^{96} + 36156q^{97} + 102108q^{98} + 864q^{99} + O(q^{100}) \)

Decomposition of \(S_{4}^{\mathrm{new}}(\Gamma_1(735))\)

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
735.4.a \(\chi_{735}(1, \cdot)\) 735.4.a.a 1 1
735.4.a.b 1
735.4.a.c 1
735.4.a.d 1
735.4.a.e 1
735.4.a.f 1
735.4.a.g 1
735.4.a.h 1
735.4.a.i 1
735.4.a.j 1
735.4.a.k 2
735.4.a.l 2
735.4.a.m 2
735.4.a.n 2
735.4.a.o 2
735.4.a.p 2
735.4.a.q 2
735.4.a.r 3
735.4.a.s 3
735.4.a.t 4
735.4.a.u 4
735.4.a.v 4
735.4.a.w 4
735.4.a.x 5
735.4.a.y 5
735.4.a.z 5
735.4.a.ba 5
735.4.a.bb 8
735.4.a.bc 8
735.4.b \(\chi_{735}(146, \cdot)\) n/a 160 1
735.4.d \(\chi_{735}(589, \cdot)\) n/a 124 1
735.4.g \(\chi_{735}(734, \cdot)\) n/a 232 1
735.4.i \(\chi_{735}(226, \cdot)\) n/a 160 2
735.4.j \(\chi_{735}(197, \cdot)\) n/a 472 2
735.4.m \(\chi_{735}(97, \cdot)\) n/a 240 2
735.4.p \(\chi_{735}(374, \cdot)\) n/a 464 2
735.4.q \(\chi_{735}(79, \cdot)\) n/a 240 2
735.4.s \(\chi_{735}(521, \cdot)\) n/a 320 2
735.4.u \(\chi_{735}(106, \cdot)\) n/a 672 6
735.4.v \(\chi_{735}(178, \cdot)\) n/a 480 4
735.4.y \(\chi_{735}(128, \cdot)\) n/a 928 4
735.4.ba \(\chi_{735}(104, \cdot)\) n/a 1992 6
735.4.bd \(\chi_{735}(64, \cdot)\) n/a 1008 6
735.4.bf \(\chi_{735}(41, \cdot)\) n/a 1344 6
735.4.bg \(\chi_{735}(16, \cdot)\) n/a 1344 12
735.4.bi \(\chi_{735}(13, \cdot)\) n/a 2016 12
735.4.bj \(\chi_{735}(8, \cdot)\) n/a 3984 12
735.4.bm \(\chi_{735}(26, \cdot)\) n/a 2688 12
735.4.bo \(\chi_{735}(4, \cdot)\) n/a 2016 12
735.4.bp \(\chi_{735}(59, \cdot)\) n/a 3984 12
735.4.bt \(\chi_{735}(2, \cdot)\) n/a 7968 24
735.4.bu \(\chi_{735}(52, \cdot)\) n/a 4032 24

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

Decomposition of \(S_{4}^{\mathrm{old}}(\Gamma_1(735))\) into lower level spaces

\( S_{4}^{\mathrm{old}}(\Gamma_1(735)) \cong \) \(S_{4}^{\mathrm{new}}(\Gamma_1(5))\)\(^{\oplus 6}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(7))\)\(^{\oplus 8}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(15))\)\(^{\oplus 3}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(21))\)\(^{\oplus 4}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(35))\)\(^{\oplus 4}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(49))\)\(^{\oplus 4}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(105))\)\(^{\oplus 2}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(147))\)\(^{\oplus 2}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(\Gamma_1(245))\)\(^{\oplus 2}\)

Hecke characteristic polynomials

$p$ $F_p(T)$
$2$ (\( 1 + 4 T + 8 T^{2} \))(\( 1 + 4 T + 8 T^{2} \))(\( 1 + 8 T^{2} \))(\( 1 - T + 8 T^{2} \))(\( 1 - T + 8 T^{2} \))(\( 1 - T + 8 T^{2} \))(\( 1 - 3 T + 8 T^{2} \))(\( 1 - 3 T + 8 T^{2} \))(\( 1 - 3 T + 8 T^{2} \))(\( 1 - 5 T + 8 T^{2} \))(\( 1 + 7 T + 24 T^{2} + 56 T^{3} + 64 T^{4} \))(\( 1 + 4 T + 18 T^{2} + 32 T^{3} + 64 T^{4} \))(\( 1 + 4 T + 15 T^{2} + 32 T^{3} + 64 T^{4} \))(\( 1 + 4 T + 18 T^{2} + 32 T^{3} + 64 T^{4} \))(\( 1 + 2 T + 9 T^{2} + 16 T^{3} + 64 T^{4} \))(\( 1 - T - 8 T^{3} + 64 T^{4} \))(\( 1 - 3 T + 8 T^{2} - 24 T^{3} + 64 T^{4} \))(\( 1 - 3 T + 16 T^{2} - 34 T^{3} + 128 T^{4} - 192 T^{5} + 512 T^{6} \))(\( 1 - 3 T + 16 T^{2} - 34 T^{3} + 128 T^{4} - 192 T^{5} + 512 T^{6} \))(\( 1 + 6 T + 25 T^{2} + 72 T^{3} + 216 T^{4} + 576 T^{5} + 1600 T^{6} + 3072 T^{7} + 4096 T^{8} \))(\( 1 + 6 T + 25 T^{2} + 72 T^{3} + 216 T^{4} + 576 T^{5} + 1600 T^{6} + 3072 T^{7} + 4096 T^{8} \))(\( 1 - T - 3 T^{2} - 5 T^{3} + 20 T^{4} - 40 T^{5} - 192 T^{6} - 512 T^{7} + 4096 T^{8} \))(\( 1 - T - 3 T^{2} - 5 T^{3} + 20 T^{4} - 40 T^{5} - 192 T^{6} - 512 T^{7} + 4096 T^{8} \))(\( 1 + T + 10 T^{2} + 30 T^{3} + 84 T^{4} + 268 T^{5} + 672 T^{6} + 1920 T^{7} + 5120 T^{8} + 4096 T^{9} + 32768 T^{10} \))(\( 1 + T + 10 T^{2} + 30 T^{3} + 84 T^{4} + 268 T^{5} + 672 T^{6} + 1920 T^{7} + 5120 T^{8} + 4096 T^{9} + 32768 T^{10} \))(\( 1 - 3 T + 12 T^{2} - 26 T^{3} + 72 T^{4} - 92 T^{5} + 576 T^{6} - 1664 T^{7} + 6144 T^{8} - 12288 T^{9} + 32768 T^{10} \))(\( 1 - 3 T + 12 T^{2} - 26 T^{3} + 72 T^{4} - 92 T^{5} + 576 T^{6} - 1664 T^{7} + 6144 T^{8} - 12288 T^{9} + 32768 T^{10} \))(\( 1 - 2 T + 9 T^{2} - 32 T^{3} + 121 T^{4} - 354 T^{5} + 1097 T^{6} - 3096 T^{7} + 13080 T^{8} - 24768 T^{9} + 70208 T^{10} - 181248 T^{11} + 495616 T^{12} - 1048576 T^{13} + 2359296 T^{14} - 4194304 T^{15} + 16777216 T^{16} \))(\( 1 - 2 T + 9 T^{2} - 32 T^{3} + 121 T^{4} - 354 T^{5} + 1097 T^{6} - 3096 T^{7} + 13080 T^{8} - 24768 T^{9} + 70208 T^{10} - 181248 T^{11} + 495616 T^{12} - 1048576 T^{13} + 2359296 T^{14} - 4194304 T^{15} + 16777216 T^{16} \))
$3$ (\( 1 + 3 T \))(\( 1 - 3 T \))(\( 1 - 3 T \))(\( 1 + 3 T \))(\( 1 + 3 T \))(\( 1 - 3 T \))(\( 1 + 3 T \))(\( 1 - 3 T \))(\( 1 - 3 T \))(\( 1 - 3 T \))(\( ( 1 - 3 T )^{2} \))(\( ( 1 + 3 T )^{2} \))(\( ( 1 + 3 T )^{2} \))(\( ( 1 - 3 T )^{2} \))(\( ( 1 - 3 T )^{2} \))(\( ( 1 + 3 T )^{2} \))(\( ( 1 + 3 T )^{2} \))(\( ( 1 + 3 T )^{3} \))(\( ( 1 - 3 T )^{3} \))(\( ( 1 + 3 T )^{4} \))(\( ( 1 - 3 T )^{4} \))(\( ( 1 + 3 T )^{4} \))(\( ( 1 - 3 T )^{4} \))(\( ( 1 + 3 T )^{5} \))(\( ( 1 - 3 T )^{5} \))(\( ( 1 + 3 T )^{5} \))(\( ( 1 - 3 T )^{5} \))(\( ( 1 + 3 T )^{8} \))(\( ( 1 - 3 T )^{8} \))
$5$ (\( 1 + 5 T \))(\( 1 - 5 T \))(\( 1 + 5 T \))(\( 1 + 5 T \))(\( 1 + 5 T \))(\( 1 - 5 T \))(\( 1 + 5 T \))(\( 1 - 5 T \))(\( 1 - 5 T \))(\( 1 + 5 T \))(\( ( 1 - 5 T )^{2} \))(\( ( 1 + 5 T )^{2} \))(\( ( 1 - 5 T )^{2} \))(\( ( 1 - 5 T )^{2} \))(\( ( 1 + 5 T )^{2} \))(\( ( 1 + 5 T )^{2} \))(\( ( 1 - 5 T )^{2} \))(\( ( 1 - 5 T )^{3} \))(\( ( 1 + 5 T )^{3} \))(\( ( 1 - 5 T )^{4} \))(\( ( 1 + 5 T )^{4} \))(\( ( 1 - 5 T )^{4} \))(\( ( 1 + 5 T )^{4} \))(\( ( 1 - 5 T )^{5} \))(\( ( 1 + 5 T )^{5} \))(\( ( 1 + 5 T )^{5} \))(\( ( 1 - 5 T )^{5} \))(\( ( 1 + 5 T )^{8} \))(\( ( 1 - 5 T )^{8} \))
$7$ 1
$11$ (\( 1 + 10 T + 1331 T^{2} \))(\( 1 + 10 T + 1331 T^{2} \))(\( 1 - 42 T + 1331 T^{2} \))(\( 1 - 10 T + 1331 T^{2} \))(\( 1 - 52 T + 1331 T^{2} \))(\( 1 - 10 T + 1331 T^{2} \))(\( 1 + 45 T + 1331 T^{2} \))(\( 1 + 45 T + 1331 T^{2} \))(\( 1 + 24 T + 1331 T^{2} \))(\( 1 - 12 T + 1331 T^{2} \))(\( 1 + 26 T + 2406 T^{2} + 34606 T^{3} + 1771561 T^{4} \))(\( 1 + 32 T + 30 T^{2} + 42592 T^{3} + 1771561 T^{4} \))(\( 1 + 92 T + 4758 T^{2} + 122452 T^{3} + 1771561 T^{4} \))(\( 1 + 32 T + 30 T^{2} + 42592 T^{3} + 1771561 T^{4} \))(\( 1 + 16 T - 474 T^{2} + 21296 T^{3} + 1771561 T^{4} \))(\( 1 + 22 T + 2718 T^{2} + 29282 T^{3} + 1771561 T^{4} \))(\( 1 - 62 T + 3582 T^{2} - 82522 T^{3} + 1771561 T^{4} \))(\( 1 + T + 3485 T^{2} + 6442 T^{3} + 4638535 T^{4} + 1771561 T^{5} + 2357947691 T^{6} \))(\( 1 + T + 3485 T^{2} + 6442 T^{3} + 4638535 T^{4} + 1771561 T^{5} + 2357947691 T^{6} \))(\( 1 + 24 T + 5266 T^{2} + 93024 T^{3} + 10464162 T^{4} + 123814944 T^{5} + 9329040226 T^{6} + 56590744584 T^{7} + 3138428376721 T^{8} \))(\( 1 + 24 T + 5266 T^{2} + 93024 T^{3} + 10464162 T^{4} + 123814944 T^{5} + 9329040226 T^{6} + 56590744584 T^{7} + 3138428376721 T^{8} \))(\( 1 - 60 T + 3656 T^{2} - 122940 T^{3} + 5697470 T^{4} - 163633140 T^{5} + 6476827016 T^{6} - 141476861460 T^{7} + 3138428376721 T^{8} \))(\( 1 - 60 T + 3656 T^{2} - 122940 T^{3} + 5697470 T^{4} - 163633140 T^{5} + 6476827016 T^{6} - 141476861460 T^{7} + 3138428376721 T^{8} \))(\( 1 + 33 T + 1759 T^{2} + 43884 T^{3} + 2067974 T^{4} - 1513086 T^{5} + 2752473394 T^{6} + 77743182924 T^{7} + 4147629988469 T^{8} + 103568136431793 T^{9} + 4177248169415651 T^{10} \))(\( 1 + 33 T + 1759 T^{2} + 43884 T^{3} + 2067974 T^{4} - 1513086 T^{5} + 2752473394 T^{6} + 77743182924 T^{7} + 4147629988469 T^{8} + 103568136431793 T^{9} + 4177248169415651 T^{10} \))(\( 1 - 43 T + 2867 T^{2} - 153992 T^{3} + 7132578 T^{4} - 222370878 T^{5} + 9493461318 T^{6} - 272806221512 T^{7} + 6760236030097 T^{8} - 134952420199003 T^{9} + 4177248169415651 T^{10} \))(\( 1 - 43 T + 2867 T^{2} - 153992 T^{3} + 7132578 T^{4} - 222370878 T^{5} + 9493461318 T^{6} - 272806221512 T^{7} + 6760236030097 T^{8} - 134952420199003 T^{9} + 4177248169415651 T^{10} \))(\( 1 - 64 T + 7390 T^{2} - 291704 T^{3} + 19385936 T^{4} - 443210952 T^{5} + 24402231666 T^{6} - 230354831792 T^{7} + 24836267555390 T^{8} - 306602281115152 T^{9} + 43230041932450626 T^{10} - 1045068240894311832 T^{11} + 60841371651697195856 T^{12} - \)\(12\!\cdots\!04\)\( T^{13} + \)\(41\!\cdots\!90\)\( T^{14} - \)\(47\!\cdots\!04\)\( T^{15} + \)\(98\!\cdots\!41\)\( T^{16} \))(\( 1 - 64 T + 7390 T^{2} - 291704 T^{3} + 19385936 T^{4} - 443210952 T^{5} + 24402231666 T^{6} - 230354831792 T^{7} + 24836267555390 T^{8} - 306602281115152 T^{9} + 43230041932450626 T^{10} - 1045068240894311832 T^{11} + 60841371651697195856 T^{12} - \)\(12\!\cdots\!04\)\( T^{13} + \)\(41\!\cdots\!90\)\( T^{14} - \)\(47\!\cdots\!04\)\( T^{15} + \)\(98\!\cdots\!41\)\( T^{16} \))
$13$ (\( 1 + 24 T + 2197 T^{2} \))(\( 1 - 24 T + 2197 T^{2} \))(\( 1 + 20 T + 2197 T^{2} \))(\( 1 - 6 T + 2197 T^{2} \))(\( 1 + 22 T + 2197 T^{2} \))(\( 1 + 6 T + 2197 T^{2} \))(\( 1 + 31 T + 2197 T^{2} \))(\( 1 - 31 T + 2197 T^{2} \))(\( 1 + 74 T + 2197 T^{2} \))(\( 1 + 30 T + 2197 T^{2} \))(\( 1 + 14 T + 2386 T^{2} + 30758 T^{3} + 4826809 T^{4} \))(\( 1 - 14 T + 3091 T^{2} - 30758 T^{3} + 4826809 T^{4} \))(\( 1 + 8 T - 2810 T^{2} + 17576 T^{3} + 4826809 T^{4} \))(\( 1 + 14 T + 3091 T^{2} + 30758 T^{3} + 4826809 T^{4} \))(\( 1 - 76 T + 5806 T^{2} - 166972 T^{3} + 4826809 T^{4} \))(\( 1 - 22 T + 4450 T^{2} - 48334 T^{3} + 4826809 T^{4} \))(\( 1 - 6 T + 3378 T^{2} - 13182 T^{3} + 4826809 T^{4} \))(\( 1 + 79 T + 6542 T^{2} + 346439 T^{3} + 14372774 T^{4} + 381317911 T^{5} + 10604499373 T^{6} \))(\( 1 - 79 T + 6542 T^{2} - 346439 T^{3} + 14372774 T^{4} - 381317911 T^{5} + 10604499373 T^{6} \))(\( 1 + 7692 T^{2} + 3072 T^{3} + 24146054 T^{4} + 6749184 T^{5} + 37127814828 T^{6} + 23298085122481 T^{8} \))(\( 1 + 7692 T^{2} - 3072 T^{3} + 24146054 T^{4} - 6749184 T^{5} + 37127814828 T^{6} + 23298085122481 T^{8} \))(\( 1 - 14 T + 3072 T^{2} + 52086 T^{3} + 3548974 T^{4} + 114432942 T^{5} + 14827957248 T^{6} - 148462991222 T^{7} + 23298085122481 T^{8} \))(\( 1 + 14 T + 3072 T^{2} - 52086 T^{3} + 3548974 T^{4} - 114432942 T^{5} + 14827957248 T^{6} + 148462991222 T^{7} + 23298085122481 T^{8} \))(\( 1 - 23 T + 5115 T^{2} - 67458 T^{3} + 14193793 T^{4} - 48898957 T^{5} + 31183763221 T^{6} - 325606881522 T^{7} + 54242014292895 T^{8} - 535855957817063 T^{9} + 51185893014090757 T^{10} \))(\( 1 + 23 T + 5115 T^{2} + 67458 T^{3} + 14193793 T^{4} + 48898957 T^{5} + 31183763221 T^{6} + 325606881522 T^{7} + 54242014292895 T^{8} + 535855957817063 T^{9} + 51185893014090757 T^{10} \))(\( 1 + 123 T + 9911 T^{2} + 514334 T^{3} + 26762121 T^{4} + 1198576829 T^{5} + 58796379837 T^{6} + 2482591980206 T^{7} + 105101193285803 T^{8} + 2865664470065163 T^{9} + 51185893014090757 T^{10} \))(\( 1 - 123 T + 9911 T^{2} - 514334 T^{3} + 26762121 T^{4} - 1198576829 T^{5} + 58796379837 T^{6} - 2482591980206 T^{7} + 105101193285803 T^{8} - 2865664470065163 T^{9} + 51185893014090757 T^{10} \))(\( 1 + 7112 T^{2} - 36160 T^{3} + 19781132 T^{4} - 573930304 T^{5} + 28105657080 T^{6} - 2910696625280 T^{7} + 36990866772038 T^{8} - 6394800485740160 T^{9} + 135660638544657720 T^{10} - 6086243548913699392 T^{11} + \)\(46\!\cdots\!92\)\( T^{12} - \)\(18\!\cdots\!20\)\( T^{13} + \)\(79\!\cdots\!48\)\( T^{14} + \)\(54\!\cdots\!61\)\( T^{16} \))(\( 1 + 7112 T^{2} + 36160 T^{3} + 19781132 T^{4} + 573930304 T^{5} + 28105657080 T^{6} + 2910696625280 T^{7} + 36990866772038 T^{8} + 6394800485740160 T^{9} + 135660638544657720 T^{10} + 6086243548913699392 T^{11} + \)\(46\!\cdots\!92\)\( T^{12} + \)\(18\!\cdots\!20\)\( T^{13} + \)\(79\!\cdots\!48\)\( T^{14} + \)\(54\!\cdots\!61\)\( T^{16} \))
$17$ (\( 1 - 54 T + 4913 T^{2} \))(\( 1 + 54 T + 4913 T^{2} \))(\( 1 + 66 T + 4913 T^{2} \))(\( 1 - 84 T + 4913 T^{2} \))(\( 1 - 14 T + 4913 T^{2} \))(\( 1 + 84 T + 4913 T^{2} \))(\( 1 - 96 T + 4913 T^{2} \))(\( 1 + 96 T + 4913 T^{2} \))(\( 1 + 54 T + 4913 T^{2} \))(\( 1 - 134 T + 4913 T^{2} \))(\( 1 + 16 T + 6558 T^{2} + 78608 T^{3} + 24137569 T^{4} \))(\( 1 + 20 T + 7614 T^{2} + 98260 T^{3} + 24137569 T^{4} \))(\( 1 - 44 T + 630 T^{2} - 216172 T^{3} + 24137569 T^{4} \))(\( 1 - 20 T + 7614 T^{2} - 98260 T^{3} + 24137569 T^{4} \))(\( 1 - 124 T + 13638 T^{2} - 609212 T^{3} + 24137569 T^{4} \))(\( 1 + 116 T + 9030 T^{2} + 569908 T^{3} + 24137569 T^{4} \))(\( 1 + 40 T + 8750 T^{2} + 196520 T^{3} + 24137569 T^{4} \))(\( 1 + 72 T + 14635 T^{2} + 688048 T^{3} + 71901755 T^{4} + 1737904968 T^{5} + 118587876497 T^{6} \))(\( 1 - 72 T + 14635 T^{2} - 688048 T^{3} + 71901755 T^{4} - 1737904968 T^{5} + 118587876497 T^{6} \))(\( 1 - 88 T + 18122 T^{2} - 1083544 T^{3} + 128638210 T^{4} - 5323451672 T^{5} + 437421025418 T^{6} - 10435733131736 T^{7} + 582622237229761 T^{8} \))(\( 1 + 88 T + 18122 T^{2} + 1083544 T^{3} + 128638210 T^{4} + 5323451672 T^{5} + 437421025418 T^{6} + 10435733131736 T^{7} + 582622237229761 T^{8} \))(\( 1 - 46 T + 13600 T^{2} - 358386 T^{3} + 83231870 T^{4} - 1760750418 T^{5} + 328270938400 T^{6} - 5455042318862 T^{7} + 582622237229761 T^{8} \))(\( 1 + 46 T + 13600 T^{2} + 358386 T^{3} + 83231870 T^{4} + 1760750418 T^{5} + 328270938400 T^{6} + 5455042318862 T^{7} + 582622237229761 T^{8} \))(\( 1 - 136 T + 869 T^{2} + 571504 T^{3} + 27196038 T^{4} - 6419222928 T^{5} + 133614134694 T^{6} + 13794717233776 T^{7} + 103052864675893 T^{8} - 79236624263247496 T^{9} + 2862423051509815793 T^{10} \))(\( 1 + 136 T + 869 T^{2} - 571504 T^{3} + 27196038 T^{4} + 6419222928 T^{5} + 133614134694 T^{6} - 13794717233776 T^{7} + 103052864675893 T^{8} + 79236624263247496 T^{9} + 2862423051509815793 T^{10} \))(\( 1 + 124 T + 28769 T^{2} + 2442344 T^{3} + 301578138 T^{4} + 17991840552 T^{5} + 1481653391994 T^{6} + 58952246821736 T^{7} + 3411654618942193 T^{8} + 72245157416490364 T^{9} + 2862423051509815793 T^{10} \))(\( 1 - 124 T + 28769 T^{2} - 2442344 T^{3} + 301578138 T^{4} - 17991840552 T^{5} + 1481653391994 T^{6} - 58952246821736 T^{7} + 3411654618942193 T^{8} - 72245157416490364 T^{9} + 2862423051509815793 T^{10} \))(\( 1 + 48 T + 20222 T^{2} + 1284544 T^{3} + 235047760 T^{4} + 14839698592 T^{5} + 1866252142114 T^{6} + 109319257675120 T^{7} + 10615188543611038 T^{8} + 537085512957864560 T^{9} + 45046789851674480866 T^{10} + \)\(17\!\cdots\!24\)\( T^{11} + \)\(13\!\cdots\!60\)\( T^{12} + \)\(36\!\cdots\!92\)\( T^{13} + \)\(28\!\cdots\!98\)\( T^{14} + \)\(33\!\cdots\!16\)\( T^{15} + \)\(33\!\cdots\!21\)\( T^{16} \))(\( 1 - 48 T + 20222 T^{2} - 1284544 T^{3} + 235047760 T^{4} - 14839698592 T^{5} + 1866252142114 T^{6} - 109319257675120 T^{7} + 10615188543611038 T^{8} - 537085512957864560 T^{9} + 45046789851674480866 T^{10} - \)\(17\!\cdots\!24\)\( T^{11} + \)\(13\!\cdots\!60\)\( T^{12} - \)\(36\!\cdots\!92\)\( T^{13} + \)\(28\!\cdots\!98\)\( T^{14} - \)\(33\!\cdots\!16\)\( T^{15} + \)\(33\!\cdots\!21\)\( T^{16} \))
$19$ (\( 1 + 12 T + 6859 T^{2} \))(\( 1 - 12 T + 6859 T^{2} \))(\( 1 + 38 T + 6859 T^{2} \))(\( 1 - 48 T + 6859 T^{2} \))(\( 1 - 20 T + 6859 T^{2} \))(\( 1 + 48 T + 6859 T^{2} \))(\( 1 - 149 T + 6859 T^{2} \))(\( 1 + 149 T + 6859 T^{2} \))(\( 1 - 124 T + 6859 T^{2} \))(\( 1 - 92 T + 6859 T^{2} \))(\( 1 + 174 T + 18414 T^{2} + 1193466 T^{3} + 47045881 T^{4} \))(\( 1 - 18 T + 5607 T^{2} - 123462 T^{3} + 47045881 T^{4} \))(\( 1 - 108 T + 13254 T^{2} - 740772 T^{3} + 47045881 T^{4} \))(\( 1 + 18 T + 5607 T^{2} + 123462 T^{3} + 47045881 T^{4} \))(\( 1 - 96 T + 13974 T^{2} - 658464 T^{3} + 47045881 T^{4} \))(\( 1 + 102 T + 13134 T^{2} + 699618 T^{3} + 47045881 T^{4} \))(\( 1 - 122 T + 17398 T^{2} - 836798 T^{3} + 47045881 T^{4} \))(\( 1 + 29 T + 18484 T^{2} + 332301 T^{3} + 126781756 T^{4} + 1364330549 T^{5} + 322687697779 T^{6} \))(\( 1 - 29 T + 18484 T^{2} - 332301 T^{3} + 126781756 T^{4} - 1364330549 T^{5} + 322687697779 T^{6} \))(\( 1 + 72 T + 13906 T^{2} + 1535688 T^{3} + 102126762 T^{4} + 10533283992 T^{5} + 654220021186 T^{6} + 23233514240088 T^{7} + 2213314919066161 T^{8} \))(\( 1 - 72 T + 13906 T^{2} - 1535688 T^{3} + 102126762 T^{4} - 10533283992 T^{5} + 654220021186 T^{6} - 23233514240088 T^{7} + 2213314919066161 T^{8} \))(\( 1 - 40 T - 360 T^{2} + 242088 T^{3} + 31176862 T^{4} + 1660481592 T^{5} - 16936517160 T^{6} - 12907507911160 T^{7} + 2213314919066161 T^{8} \))(\( 1 + 40 T - 360 T^{2} - 242088 T^{3} + 31176862 T^{4} - 1660481592 T^{5} - 16936517160 T^{6} + 12907507911160 T^{7} + 2213314919066161 T^{8} \))(\( 1 - 39 T + 11401 T^{2} - 534602 T^{3} + 74899481 T^{4} - 5163507297 T^{5} + 513735540179 T^{6} - 25150822074362 T^{7} + 3678962442378379 T^{8} - 86319281843580279 T^{9} + 15181127029874798299 T^{10} \))(\( 1 + 39 T + 11401 T^{2} + 534602 T^{3} + 74899481 T^{4} + 5163507297 T^{5} + 513735540179 T^{6} + 25150822074362 T^{7} + 3678962442378379 T^{8} + 86319281843580279 T^{9} + 15181127029874798299 T^{10} \))(\( 1 + 37 T + 23273 T^{2} + 383422 T^{3} + 245060985 T^{4} + 2013683027 T^{5} + 1680873296115 T^{6} + 18038425784782 T^{7} + 7509910790410667 T^{8} + 81892652005447957 T^{9} + 15181127029874798299 T^{10} \))(\( 1 - 37 T + 23273 T^{2} - 383422 T^{3} + 245060985 T^{4} - 2013683027 T^{5} + 1680873296115 T^{6} - 18038425784782 T^{7} + 7509910790410667 T^{8} - 81892652005447957 T^{9} + 15181127029874798299 T^{10} \))(\( 1 + 80 T + 27986 T^{2} + 897984 T^{3} + 317073596 T^{4} + 2566961312 T^{5} + 3016570090950 T^{6} + 31546605858992 T^{7} + 25052408748856150 T^{8} + 216378169586826128 T^{9} + \)\(14\!\cdots\!50\)\( T^{10} + \)\(82\!\cdots\!48\)\( T^{11} + \)\(70\!\cdots\!56\)\( T^{12} + \)\(13\!\cdots\!16\)\( T^{13} + \)\(29\!\cdots\!26\)\( T^{14} + \)\(57\!\cdots\!20\)\( T^{15} + \)\(48\!\cdots\!21\)\( T^{16} \))(\( 1 - 80 T + 27986 T^{2} - 897984 T^{3} + 317073596 T^{4} - 2566961312 T^{5} + 3016570090950 T^{6} - 31546605858992 T^{7} + 25052408748856150 T^{8} - 216378169586826128 T^{9} + \)\(14\!\cdots\!50\)\( T^{10} - \)\(82\!\cdots\!48\)\( T^{11} + \)\(70\!\cdots\!56\)\( T^{12} - \)\(13\!\cdots\!16\)\( T^{13} + \)\(29\!\cdots\!26\)\( T^{14} - \)\(57\!\cdots\!20\)\( T^{15} + \)\(48\!\cdots\!21\)\( T^{16} \))
$23$ (\( 1 + 134 T + 12167 T^{2} \))(\( 1 + 134 T + 12167 T^{2} \))(\( 1 - 12 T + 12167 T^{2} \))(\( 1 - 56 T + 12167 T^{2} \))(\( 1 + 168 T + 12167 T^{2} \))(\( 1 - 56 T + 12167 T^{2} \))(\( 1 + 141 T + 12167 T^{2} \))(\( 1 + 141 T + 12167 T^{2} \))(\( 1 + 120 T + 12167 T^{2} \))(\( 1 - 112 T + 12167 T^{2} \))(\( 1 - 184 T + 19470 T^{2} - 2238728 T^{3} + 148035889 T^{4} \))(\( 1 + 68 T + 24138 T^{2} + 827356 T^{3} + 148035889 T^{4} \))(\( 1 + 320 T + 47934 T^{2} + 3893440 T^{3} + 148035889 T^{4} \))(\( 1 + 68 T + 24138 T^{2} + 827356 T^{3} + 148035889 T^{4} \))(\( 1 + 16 T + 15150 T^{2} + 194672 T^{3} + 148035889 T^{4} \))(\( 1 - 260 T + 34734 T^{2} - 3163420 T^{3} + 148035889 T^{4} \))(\( 1 - 16 T + 782 T^{2} - 194672 T^{3} + 148035889 T^{4} \))(\( 1 + 63 T + 32377 T^{2} + 1479946 T^{3} + 393930959 T^{4} + 9326261007 T^{5} + 1801152661463 T^{6} \))(\( 1 + 63 T + 32377 T^{2} + 1479946 T^{3} + 393930959 T^{4} + 9326261007 T^{5} + 1801152661463 T^{6} \))(\( 1 + 36970 T^{2} + 184680 T^{3} + 613170786 T^{4} + 2247001560 T^{5} + 5472886816330 T^{6} + 21914624432020321 T^{8} \))(\( 1 + 36970 T^{2} + 184680 T^{3} + 613170786 T^{4} + 2247001560 T^{5} + 5472886816330 T^{6} + 21914624432020321 T^{8} \))(\( 1 - 490 T + 134088 T^{2} - 23937194 T^{3} + 3100130702 T^{4} - 291243839398 T^{5} + 19849836284232 T^{6} - 882564804116870 T^{7} + 21914624432020321 T^{8} \))(\( 1 - 490 T + 134088 T^{2} - 23937194 T^{3} + 3100130702 T^{4} - 291243839398 T^{5} + 19849836284232 T^{6} - 882564804116870 T^{7} + 21914624432020321 T^{8} \))(\( 1 + 133 T + 24875 T^{2} - 383524 T^{3} - 133452018 T^{4} - 52444604550 T^{5} - 1623710703006 T^{6} - 56775316292836 T^{7} + 44803672453892125 T^{8} + 2914645049458702693 T^{9} + \)\(26\!\cdots\!07\)\( T^{10} \))(\( 1 + 133 T + 24875 T^{2} - 383524 T^{3} - 133452018 T^{4} - 52444604550 T^{5} - 1623710703006 T^{6} - 56775316292836 T^{7} + 44803672453892125 T^{8} + 2914645049458702693 T^{9} + \)\(26\!\cdots\!07\)\( T^{10} \))(\( 1 - 77 T + 46455 T^{2} - 3370864 T^{3} + 985679602 T^{4} - 59076674370 T^{5} + 11992763717534 T^{6} - 499008848938096 T^{7} + 83672546888263665 T^{8} - 1687426081265564717 T^{9} + \)\(26\!\cdots\!07\)\( T^{10} \))(\( 1 - 77 T + 46455 T^{2} - 3370864 T^{3} + 985679602 T^{4} - 59076674370 T^{5} + 11992763717534 T^{6} - 499008848938096 T^{7} + 83672546888263665 T^{8} - 1687426081265564717 T^{9} + \)\(26\!\cdots\!07\)\( T^{10} \))(\( 1 - 120 T + 43642 T^{2} - 4122368 T^{3} + 1052982212 T^{4} - 77227451376 T^{5} + 17279817545550 T^{6} - 1094159392621768 T^{7} + 230536480690544198 T^{8} - 13312637330029051256 T^{9} + \)\(25\!\cdots\!50\)\( T^{10} - \)\(13\!\cdots\!88\)\( T^{11} + \)\(23\!\cdots\!52\)\( T^{12} - \)\(10\!\cdots\!76\)\( T^{13} + \)\(14\!\cdots\!98\)\( T^{14} - \)\(47\!\cdots\!60\)\( T^{15} + \)\(48\!\cdots\!41\)\( T^{16} \))(\( 1 - 120 T + 43642 T^{2} - 4122368 T^{3} + 1052982212 T^{4} - 77227451376 T^{5} + 17279817545550 T^{6} - 1094159392621768 T^{7} + 230536480690544198 T^{8} - 13312637330029051256 T^{9} + \)\(25\!\cdots\!50\)\( T^{10} - \)\(13\!\cdots\!88\)\( T^{11} + \)\(23\!\cdots\!52\)\( T^{12} - \)\(10\!\cdots\!76\)\( T^{13} + \)\(14\!\cdots\!98\)\( T^{14} - \)\(47\!\cdots\!60\)\( T^{15} + \)\(48\!\cdots\!41\)\( T^{16} \))
$29$ (\( 1 - 118 T + 24389 T^{2} \))(\( 1 - 118 T + 24389 T^{2} \))(\( 1 + 258 T + 24389 T^{2} \))(\( 1 + 232 T + 24389 T^{2} \))(\( 1 - 230 T + 24389 T^{2} \))(\( 1 + 232 T + 24389 T^{2} \))(\( 1 - 48 T + 24389 T^{2} \))(\( 1 - 48 T + 24389 T^{2} \))(\( 1 + 78 T + 24389 T^{2} \))(\( 1 + 58 T + 24389 T^{2} \))(\( 1 + 32 T + 19046 T^{2} + 780448 T^{3} + 594823321 T^{4} \))(\( 1 + 332 T + 76262 T^{2} + 8097148 T^{3} + 594823321 T^{4} \))(\( 1 + 236 T + 61982 T^{2} + 5755804 T^{3} + 594823321 T^{4} \))(\( 1 + 332 T + 76262 T^{2} + 8097148 T^{3} + 594823321 T^{4} \))(\( 1 - 188 T + 34286 T^{2} - 4585132 T^{3} + 594823321 T^{4} \))(\( 1 + 196 T + 20942 T^{2} + 4780244 T^{3} + 594823321 T^{4} \))(\( 1 - 352 T + 78278 T^{2} - 8584928 T^{3} + 594823321 T^{4} \))(\( 1 - 220 T + 74711 T^{2} - 10703064 T^{3} + 1822126579 T^{4} - 130861130620 T^{5} + 14507145975869 T^{6} \))(\( 1 - 220 T + 74711 T^{2} - 10703064 T^{3} + 1822126579 T^{4} - 130861130620 T^{5} + 14507145975869 T^{6} \))(\( 1 + 636 T + 236518 T^{2} + 58757436 T^{3} + 10696375170 T^{4} + 1433035106604 T^{5} + 140686422236278 T^{6} + 9226544840652684 T^{7} + 353814783205469041 T^{8} \))(\( 1 + 636 T + 236518 T^{2} + 58757436 T^{3} + 10696375170 T^{4} + 1433035106604 T^{5} + 140686422236278 T^{6} + 9226544840652684 T^{7} + 353814783205469041 T^{8} \))(\( 1 + 6 T + 68224 T^{2} - 1794846 T^{3} + 2099426894 T^{4} - 43774499094 T^{5} + 40581226251904 T^{6} + 87042875855214 T^{7} + 353814783205469041 T^{8} \))(\( 1 + 6 T + 68224 T^{2} - 1794846 T^{3} + 2099426894 T^{4} - 43774499094 T^{5} + 40581226251904 T^{6} + 87042875855214 T^{7} + 353814783205469041 T^{8} \))(\( 1 - 272 T + 89713 T^{2} - 18586464 T^{3} + 4032454334 T^{4} - 595833637376 T^{5} + 98347528751926 T^{6} - 11055662242126944 T^{7} + 1301479586933135597 T^{8} - 96237621031887579152 T^{9} + \)\(86\!\cdots\!49\)\( T^{10} \))(\( 1 - 272 T + 89713 T^{2} - 18586464 T^{3} + 4032454334 T^{4} - 595833637376 T^{5} + 98347528751926 T^{6} - 11055662242126944 T^{7} + 1301479586933135597 T^{8} - 96237621031887579152 T^{9} + \)\(86\!\cdots\!49\)\( T^{10} \))(\( 1 - 360 T + 130325 T^{2} - 27401400 T^{3} + 6029894570 T^{4} - 923796431136 T^{5} + 147063098667730 T^{6} - 16298991748049400 T^{7} + 1890643799305127425 T^{8} - \)\(12\!\cdots\!60\)\( T^{9} + \)\(86\!\cdots\!49\)\( T^{10} \))(\( 1 - 360 T + 130325 T^{2} - 27401400 T^{3} + 6029894570 T^{4} - 923796431136 T^{5} + 147063098667730 T^{6} - 16298991748049400 T^{7} + 1890643799305127425 T^{8} - \)\(12\!\cdots\!60\)\( T^{9} + \)\(86\!\cdots\!49\)\( T^{10} \))(\( 1 - 76 T + 74370 T^{2} - 1862268 T^{3} + 2646926400 T^{4} + 88314070476 T^{5} + 70411248659950 T^{6} + 4768258978708028 T^{7} + 1753058605726100574 T^{8} + \)\(11\!\cdots\!92\)\( T^{9} + \)\(41\!\cdots\!50\)\( T^{10} + \)\(12\!\cdots\!44\)\( T^{11} + \)\(93\!\cdots\!00\)\( T^{12} - \)\(16\!\cdots\!32\)\( T^{13} + \)\(15\!\cdots\!70\)\( T^{14} - \)\(39\!\cdots\!04\)\( T^{15} + \)\(12\!\cdots\!81\)\( T^{16} \))(\( 1 - 76 T + 74370 T^{2} - 1862268 T^{3} + 2646926400 T^{4} + 88314070476 T^{5} + 70411248659950 T^{6} + 4768258978708028 T^{7} + 1753058605726100574 T^{8} + \)\(11\!\cdots\!92\)\( T^{9} + \)\(41\!\cdots\!50\)\( T^{10} + \)\(12\!\cdots\!44\)\( T^{11} + \)\(93\!\cdots\!00\)\( T^{12} - \)\(16\!\cdots\!32\)\( T^{13} + \)\(15\!\cdots\!70\)\( T^{14} - \)\(39\!\cdots\!04\)\( T^{15} + \)\(12\!\cdots\!81\)\( T^{16} \))
$31$ (\( 1 - 144 T + 29791 T^{2} \))(\( 1 + 144 T + 29791 T^{2} \))(\( 1 + 146 T + 29791 T^{2} \))(\( 1 + 6 T + 29791 T^{2} \))(\( 1 - 288 T + 29791 T^{2} \))(\( 1 - 6 T + 29791 T^{2} \))(\( 1 + 178 T + 29791 T^{2} \))(\( 1 - 178 T + 29791 T^{2} \))(\( 1 + 200 T + 29791 T^{2} \))(\( 1 - 224 T + 29791 T^{2} \))(\( 1 + 330 T + 85430 T^{2} + 9831030 T^{3} + 887503681 T^{4} \))(\( 1 - 66 T + 58079 T^{2} - 1966206 T^{3} + 887503681 T^{4} \))(\( 1 - 60 T + 8462 T^{2} - 1787460 T^{3} + 887503681 T^{4} \))(\( 1 + 66 T + 58079 T^{2} + 1966206 T^{3} + 887503681 T^{4} \))(\( 1 - 120 T + 60590 T^{2} - 3574920 T^{3} + 887503681 T^{4} \))(\( 1 + 150 T + 36542 T^{2} + 4468650 T^{3} + 887503681 T^{4} \))(\( 1 + 66 T + 45870 T^{2} + 1966206 T^{3} + 887503681 T^{4} \))(\( 1 - 136 T + 27042 T^{2} - 3338174 T^{3} + 805608222 T^{4} - 120700500616 T^{5} + 26439622160671 T^{6} \))(\( 1 + 136 T + 27042 T^{2} + 3338174 T^{3} + 805608222 T^{4} + 120700500616 T^{5} + 26439622160671 T^{6} \))(\( 1 + 228 T + 95788 T^{2} + 18621900 T^{3} + 3907991106 T^{4} + 554765022900 T^{5} + 85012202595628 T^{6} + 6028233852632988 T^{7} + 787662783788549761 T^{8} \))(\( 1 - 228 T + 95788 T^{2} - 18621900 T^{3} + 3907991106 T^{4} - 554765022900 T^{5} + 85012202595628 T^{6} - 6028233852632988 T^{7} + 787662783788549761 T^{8} \))(\( 1 - 122 T + 81704 T^{2} - 12895866 T^{3} + 3071099918 T^{4} - 384180744006 T^{5} + 72512600752424 T^{6} - 3225633903601862 T^{7} + 787662783788549761 T^{8} \))(\( 1 + 122 T + 81704 T^{2} + 12895866 T^{3} + 3071099918 T^{4} + 384180744006 T^{5} + 72512600752424 T^{6} + 3225633903601862 T^{7} + 787662783788549761 T^{8} \))(\( 1 - 430 T + 168993 T^{2} - 47232872 T^{3} + 10667901865 T^{4} - 2052996007502 T^{5} + 317807464460215 T^{6} - 41919347764201832 T^{7} + 4468111067798274303 T^{8} - \)\(33\!\cdots\!30\)\( T^{9} + \)\(23\!\cdots\!51\)\( T^{10} \))(\( 1 + 430 T + 168993 T^{2} + 47232872 T^{3} + 10667901865 T^{4} + 2052996007502 T^{5} + 317807464460215 T^{6} + 41919347764201832 T^{7} + 4468111067798274303 T^{8} + \)\(33\!\cdots\!30\)\( T^{9} + \)\(23\!\cdots\!51\)\( T^{10} \))(\( 1 + 314 T + 123689 T^{2} + 25396640 T^{3} + 6458906089 T^{4} + 1024909614882 T^{5} + 192417271297399 T^{6} + 22539611485031840 T^{7} + 3270290425431235319 T^{8} + \)\(24\!\cdots\!54\)\( T^{9} + \)\(23\!\cdots\!51\)\( T^{10} \))(\( 1 - 314 T + 123689 T^{2} - 25396640 T^{3} + 6458906089 T^{4} - 1024909614882 T^{5} + 192417271297399 T^{6} - 22539611485031840 T^{7} + 3270290425431235319 T^{8} - \)\(24\!\cdots\!54\)\( T^{9} + \)\(23\!\cdots\!51\)\( T^{10} \))(\( 1 + 20 T + 114236 T^{2} + 3691196 T^{3} + 6749398788 T^{4} + 297908879340 T^{5} + 292920227539636 T^{6} + 13694176836356068 T^{7} + 9955576667399459590 T^{8} + \)\(40\!\cdots\!88\)\( T^{9} + \)\(25\!\cdots\!16\)\( T^{10} + \)\(78\!\cdots\!40\)\( T^{11} + \)\(53\!\cdots\!68\)\( T^{12} + \)\(86\!\cdots\!96\)\( T^{13} + \)\(79\!\cdots\!76\)\( T^{14} + \)\(41\!\cdots\!20\)\( T^{15} + \)\(62\!\cdots\!21\)\( T^{16} \))(\( 1 - 20 T + 114236 T^{2} - 3691196 T^{3} + 6749398788 T^{4} - 297908879340 T^{5} + 292920227539636 T^{6} - 13694176836356068 T^{7} + 9955576667399459590 T^{8} - \)\(40\!\cdots\!88\)\( T^{9} + \)\(25\!\cdots\!16\)\( T^{10} - \)\(78\!\cdots\!40\)\( T^{11} + \)\(53\!\cdots\!68\)\( T^{12} - \)\(86\!\cdots\!96\)\( T^{13} + \)\(79\!\cdots\!76\)\( T^{14} - \)\(41\!\cdots\!20\)\( T^{15} + \)\(62\!\cdots\!21\)\( T^{16} \))
$37$ (\( 1 + 378 T + 50653 T^{2} \))(\( 1 + 378 T + 50653 T^{2} \))(\( 1 - 434 T + 50653 T^{2} \))(\( 1 + 48 T + 50653 T^{2} \))(\( 1 + 34 T + 50653 T^{2} \))(\( 1 + 48 T + 50653 T^{2} \))(\( 1 - 371 T + 50653 T^{2} \))(\( 1 - 371 T + 50653 T^{2} \))(\( 1 + 70 T + 50653 T^{2} \))(\( 1 + 146 T + 50653 T^{2} \))(\( 1 + 132 T + 103214 T^{2} + 6686196 T^{3} + 2565726409 T^{4} \))(\( 1 - 18 T + 2819 T^{2} - 911754 T^{3} + 2565726409 T^{4} \))(\( 1 - 204 T + 108830 T^{2} - 10333212 T^{3} + 2565726409 T^{4} \))(\( 1 - 18 T + 2819 T^{2} - 911754 T^{3} + 2565726409 T^{4} \))(\( 1 + 132 T + 70814 T^{2} + 6686196 T^{3} + 2565726409 T^{4} \))(\( 1 + 96 T + 82550 T^{2} + 4862688 T^{3} + 2565726409 T^{4} \))(\( 1 + 188 T + 44542 T^{2} + 9522764 T^{3} + 2565726409 T^{4} \))(\( 1 - 43 T + 33294 T^{2} - 1889771 T^{3} + 1686440982 T^{4} - 110326235587 T^{5} + 129961739795077 T^{6} \))(\( 1 - 43 T + 33294 T^{2} - 1889771 T^{3} + 1686440982 T^{4} - 110326235587 T^{5} + 129961739795077 T^{6} \))(\( 1 + 68 T + 139486 T^{2} + 12864308 T^{3} + 9170214850 T^{4} + 651615793124 T^{5} + 357882913885774 T^{6} + 8837398306065236 T^{7} + 6582952005840035281 T^{8} \))(\( 1 + 68 T + 139486 T^{2} + 12864308 T^{3} + 9170214850 T^{4} + 651615793124 T^{5} + 357882913885774 T^{6} + 8837398306065236 T^{7} + 6582952005840035281 T^{8} \))(\( 1 - 142 T + 141096 T^{2} - 11707722 T^{3} + 8900796190 T^{4} - 593031242466 T^{5} + 362013733404264 T^{6} - 18454567050900934 T^{7} + 6582952005840035281 T^{8} \))(\( 1 - 142 T + 141096 T^{2} - 11707722 T^{3} + 8900796190 T^{4} - 593031242466 T^{5} + 362013733404264 T^{6} - 18454567050900934 T^{7} + 6582952005840035281 T^{8} \))(\( 1 - 3 T + 197883 T^{2} - 4892626 T^{3} + 17416703473 T^{4} - 467476872809 T^{5} + 882208281017869 T^{6} - 12553139737560034 T^{7} + 25717218955869221991 T^{8} - 19748856017520105843 T^{9} + \)\(33\!\cdots\!93\)\( T^{10} \))(\( 1 - 3 T + 197883 T^{2} - 4892626 T^{3} + 17416703473 T^{4} - 467476872809 T^{5} + 882208281017869 T^{6} - 12553139737560034 T^{7} + 25717218955869221991 T^{8} - 19748856017520105843 T^{9} + \)\(33\!\cdots\!93\)\( T^{10} \))(\( 1 - 225 T + 126911 T^{2} - 15458474 T^{3} + 6538450969 T^{4} - 624052950007 T^{5} + 331192156932757 T^{6} - 39662214984639866 T^{7} + 16493574359133017147 T^{8} - \)\(14\!\cdots\!25\)\( T^{9} + \)\(33\!\cdots\!93\)\( T^{10} \))(\( 1 - 225 T + 126911 T^{2} - 15458474 T^{3} + 6538450969 T^{4} - 624052950007 T^{5} + 331192156932757 T^{6} - 39662214984639866 T^{7} + 16493574359133017147 T^{8} - \)\(14\!\cdots\!25\)\( T^{9} + \)\(33\!\cdots\!93\)\( T^{10} \))(\( 1 - 348 T + 224186 T^{2} - 56499884 T^{3} + 25545749024 T^{4} - 5417822079140 T^{5} + 1979685908829526 T^{6} - 370587486793175700 T^{7} + \)\(11\!\cdots\!94\)\( T^{8} - \)\(18\!\cdots\!00\)\( T^{9} + \)\(50\!\cdots\!34\)\( T^{10} - \)\(70\!\cdots\!80\)\( T^{11} + \)\(16\!\cdots\!44\)\( T^{12} - \)\(18\!\cdots\!12\)\( T^{13} + \)\(37\!\cdots\!94\)\( T^{14} - \)\(29\!\cdots\!76\)\( T^{15} + \)\(43\!\cdots\!61\)\( T^{16} \))(\( 1 - 348 T + 224186 T^{2} - 56499884 T^{3} + 25545749024 T^{4} - 5417822079140 T^{5} + 1979685908829526 T^{6} - 370587486793175700 T^{7} + \)\(11\!\cdots\!94\)\( T^{8} - \)\(18\!\cdots\!00\)\( T^{9} + \)\(50\!\cdots\!34\)\( T^{10} - \)\(70\!\cdots\!80\)\( T^{11} + \)\(16\!\cdots\!44\)\( T^{12} - \)\(18\!\cdots\!12\)\( T^{13} + \)\(37\!\cdots\!94\)\( T^{14} - \)\(29\!\cdots\!76\)\( T^{15} + \)\(43\!\cdots\!61\)\( T^{16} \))
$41$ (\( 1 - 330 T + 68921 T^{2} \))(\( 1 + 330 T + 68921 T^{2} \))(\( 1 - 282 T + 68921 T^{2} \))(\( 1 + 150 T + 68921 T^{2} \))(\( 1 + 122 T + 68921 T^{2} \))(\( 1 - 150 T + 68921 T^{2} \))(\( 1 - 225 T + 68921 T^{2} \))(\( 1 + 225 T + 68921 T^{2} \))(\( 1 + 330 T + 68921 T^{2} \))(\( 1 + 18 T + 68921 T^{2} \))(\( 1 + 200 T + 64542 T^{2} + 13784200 T^{3} + 4750104241 T^{4} \))(\( 1 - 152 T + 113850 T^{2} - 10475992 T^{3} + 4750104241 T^{4} \))(\( 1 + 44 T + 106326 T^{2} + 3032524 T^{3} + 4750104241 T^{4} \))(\( 1 + 152 T + 113850 T^{2} + 10475992 T^{3} + 4750104241 T^{4} \))(\( 1 + 100 T + 89142 T^{2} + 6892100 T^{3} + 4750104241 T^{4} \))(\( 1 - 176 T - 16914 T^{2} - 12130096 T^{3} + 4750104241 T^{4} \))(\( 1 + 16 T + 18350 T^{2} + 1102736 T^{3} + 4750104241 T^{4} \))(\( 1 + 599 T + 272999 T^{2} + 79436618 T^{3} + 18815364079 T^{4} + 2845312440359 T^{5} + 327381934393961 T^{6} \))(\( 1 - 599 T + 272999 T^{2} - 79436618 T^{3} + 18815364079 T^{4} - 2845312440359 T^{5} + 327381934393961 T^{6} \))(\( 1 - 56 T + 228308 T^{2} - 13060136 T^{3} + 22096579702 T^{4} - 900117633256 T^{5} + 1084486799054228 T^{6} - 18333388326061816 T^{7} + 22563490300366186081 T^{8} \))(\( 1 + 56 T + 228308 T^{2} + 13060136 T^{3} + 22096579702 T^{4} + 900117633256 T^{5} + 1084486799054228 T^{6} + 18333388326061816 T^{7} + 22563490300366186081 T^{8} \))(\( 1 - 168 T + 196668 T^{2} - 18475224 T^{3} + 17172320614 T^{4} - 1273330913304 T^{5} + 934193500868988 T^{6} - 55000164978185448 T^{7} + 22563490300366186081 T^{8} \))(\( 1 + 168 T + 196668 T^{2} + 18475224 T^{3} + 17172320614 T^{4} + 1273330913304 T^{5} + 934193500868988 T^{6} + 55000164978185448 T^{7} + 22563490300366186081 T^{8} \))(\( 1 - 627 T + 298461 T^{2} - 100221404 T^{3} + 28792732854 T^{4} - 7903095350774 T^{5} + 1984423941030534 T^{6} - 476062116179374364 T^{7} + 97710739521155994021 T^{8} - \)\(14\!\cdots\!87\)\( T^{9} + \)\(15\!\cdots\!01\)\( T^{10} \))(\( 1 + 627 T + 298461 T^{2} + 100221404 T^{3} + 28792732854 T^{4} + 7903095350774 T^{5} + 1984423941030534 T^{6} + 476062116179374364 T^{7} + 97710739521155994021 T^{8} + \)\(14\!\cdots\!87\)\( T^{9} + \)\(15\!\cdots\!01\)\( T^{10} \))(\( 1 + 341 T + 190073 T^{2} + 39759328 T^{3} + 16717012002 T^{4} + 3155754961314 T^{5} + 1152153184189842 T^{6} + 188860952552110048 T^{7} + 62226466416063349153 T^{8} + \)\(76\!\cdots\!21\)\( T^{9} + \)\(15\!\cdots\!01\)\( T^{10} \))(\( 1 - 341 T + 190073 T^{2} - 39759328 T^{3} + 16717012002 T^{4} - 3155754961314 T^{5} + 1152153184189842 T^{6} - 188860952552110048 T^{7} + 62226466416063349153 T^{8} - \)\(76\!\cdots\!21\)\( T^{9} + \)\(15\!\cdots\!01\)\( T^{10} \))(\( 1 + 944 T + 550976 T^{2} + 235945008 T^{3} + 88955758124 T^{4} + 28853432535504 T^{5} + 8681738136196608 T^{6} + 2426323335093291088 T^{7} + \)\(66\!\cdots\!66\)\( T^{8} + \)\(16\!\cdots\!48\)\( T^{9} + \)\(41\!\cdots\!28\)\( T^{10} + \)\(94\!\cdots\!44\)\( T^{11} + \)\(20\!\cdots\!44\)\( T^{12} + \)\(36\!\cdots\!08\)\( T^{13} + \)\(59\!\cdots\!96\)\( T^{14} + \)\(69\!\cdots\!04\)\( T^{15} + \)\(50\!\cdots\!61\)\( T^{16} \))(\( 1 - 944 T + 550976 T^{2} - 235945008 T^{3} + 88955758124 T^{4} - 28853432535504 T^{5} + 8681738136196608 T^{6} - 2426323335093291088 T^{7} + \)\(66\!\cdots\!66\)\( T^{8} - \)\(16\!\cdots\!48\)\( T^{9} + \)\(41\!\cdots\!28\)\( T^{10} - \)\(94\!\cdots\!44\)\( T^{11} + \)\(20\!\cdots\!44\)\( T^{12} - \)\(36\!\cdots\!08\)\( T^{13} + \)\(59\!\cdots\!96\)\( T^{14} - \)\(69\!\cdots\!04\)\( T^{15} + \)\(50\!\cdots\!61\)\( T^{16} \))
$43$ (\( 1 - 204 T + 79507 T^{2} \))(\( 1 - 204 T + 79507 T^{2} \))(\( 1 - 20 T + 79507 T^{2} \))(\( 1 + 426 T + 79507 T^{2} \))(\( 1 + 188 T + 79507 T^{2} \))(\( 1 + 426 T + 79507 T^{2} \))(\( 1 - 344 T + 79507 T^{2} \))(\( 1 - 344 T + 79507 T^{2} \))(\( 1 - 92 T + 79507 T^{2} \))(\( 1 - 340 T + 79507 T^{2} \))(\( 1 - 364 T + 172486 T^{2} - 28940548 T^{3} + 6321363049 T^{4} \))(\( 1 + 842 T + 333367 T^{2} + 66944894 T^{3} + 6321363049 T^{4} \))(\( 1 - 136 T + 81718 T^{2} - 10812952 T^{3} + 6321363049 T^{4} \))(\( 1 + 842 T + 333367 T^{2} + 66944894 T^{3} + 6321363049 T^{4} \))(\( 1 + 536 T + 200086 T^{2} + 42615752 T^{3} + 6321363049 T^{4} \))(\( 1 + 344 T + 171958 T^{2} + 27350408 T^{3} + 6321363049 T^{4} \))(\( 1 + 396 T + 95718 T^{2} + 31484772 T^{3} + 6321363049 T^{4} \))(\( 1 - 170 T + 62886 T^{2} - 25979064 T^{3} + 4999877202 T^{4} - 1074631718330 T^{5} + 502592611936843 T^{6} \))(\( 1 - 170 T + 62886 T^{2} - 25979064 T^{3} + 4999877202 T^{4} - 1074631718330 T^{5} + 502592611936843 T^{6} \))(\( 1 - 20 T + 232750 T^{2} + 1764700 T^{3} + 24821861602 T^{4} + 140306002900 T^{5} + 1471297249654750 T^{6} - 10051852238736860 T^{7} + 39959630797262576401 T^{8} \))(\( 1 - 20 T + 232750 T^{2} + 1764700 T^{3} + 24821861602 T^{4} + 140306002900 T^{5} + 1471297249654750 T^{6} - 10051852238736860 T^{7} + 39959630797262576401 T^{8} \))(\( 1 - 286 T + 212324 T^{2} - 38032302 T^{3} + 20546236934 T^{4} - 3023834235114 T^{5} + 1342177088015876 T^{6} - 143741487013937098 T^{7} + 39959630797262576401 T^{8} \))(\( 1 - 286 T + 212324 T^{2} - 38032302 T^{3} + 20546236934 T^{4} - 3023834235114 T^{5} + 1342177088015876 T^{6} - 143741487013937098 T^{7} + 39959630797262576401 T^{8} \))(\( 1 - 108 T + 178357 T^{2} - 39070996 T^{3} + 22552051325 T^{4} - 3630162418200 T^{5} + 1793045944696775 T^{6} - 246981950402026804 T^{7} + 89640910487219506951 T^{8} - \)\(43\!\cdots\!08\)\( T^{9} + \)\(31\!\cdots\!07\)\( T^{10} \))(\( 1 - 108 T + 178357 T^{2} - 39070996 T^{3} + 22552051325 T^{4} - 3630162418200 T^{5} + 1793045944696775 T^{6} - 246981950402026804 T^{7} + 89640910487219506951 T^{8} - \)\(43\!\cdots\!08\)\( T^{9} + \)\(31\!\cdots\!07\)\( T^{10} \))(\( 1 - 32 T + 218617 T^{2} + 27320644 T^{3} + 18062796109 T^{4} + 4794346174172 T^{5} + 1436118730238263 T^{6} + 172703709456483556 T^{7} + \)\(10\!\cdots\!31\)\( T^{8} - \)\(12\!\cdots\!32\)\( T^{9} + \)\(31\!\cdots\!07\)\( T^{10} \))(\( 1 - 32 T + 218617 T^{2} + 27320644 T^{3} + 18062796109 T^{4} + 4794346174172 T^{5} + 1436118730238263 T^{6} + 172703709456483556 T^{7} + \)\(10\!\cdots\!31\)\( T^{8} - \)\(12\!\cdots\!32\)\( T^{9} + \)\(31\!\cdots\!07\)\( T^{10} \))(\( 1 - 1116 T + 834170 T^{2} - 425138140 T^{3} + 166257143648 T^{4} - 49389440988892 T^{5} + 11529879967265110 T^{6} - 2187811703568276348 T^{7} + \)\(48\!\cdots\!54\)\( T^{8} - \)\(17\!\cdots\!36\)\( T^{9} + \)\(72\!\cdots\!90\)\( T^{10} - \)\(24\!\cdots\!56\)\( T^{11} + \)\(66\!\cdots\!48\)\( T^{12} - \)\(13\!\cdots\!80\)\( T^{13} + \)\(21\!\cdots\!30\)\( T^{14} - \)\(22\!\cdots\!88\)\( T^{15} + \)\(15\!\cdots\!01\)\( T^{16} \))(\( 1 - 1116 T + 834170 T^{2} - 425138140 T^{3} + 166257143648 T^{4} - 49389440988892 T^{5} + 11529879967265110 T^{6} - 2187811703568276348 T^{7} + \)\(48\!\cdots\!54\)\( T^{8} - \)\(17\!\cdots\!36\)\( T^{9} + \)\(72\!\cdots\!90\)\( T^{10} - \)\(24\!\cdots\!56\)\( T^{11} + \)\(66\!\cdots\!48\)\( T^{12} - \)\(13\!\cdots\!80\)\( T^{13} + \)\(21\!\cdots\!30\)\( T^{14} - \)\(22\!\cdots\!88\)\( T^{15} + \)\(15\!\cdots\!01\)\( T^{16} \))
$47$ (\( 1 - 312 T + 103823 T^{2} \))(\( 1 + 312 T + 103823 T^{2} \))(\( 1 - 72 T + 103823 T^{2} \))(\( 1 + 18 T + 103823 T^{2} \))(\( 1 + 256 T + 103823 T^{2} \))(\( 1 - 18 T + 103823 T^{2} \))(\( 1 - 375 T + 103823 T^{2} \))(\( 1 + 375 T + 103823 T^{2} \))(\( 1 - 24 T + 103823 T^{2} \))(\( 1 + 208 T + 103823 T^{2} \))(\( 1 + 292 T + 179390 T^{2} + 30316316 T^{3} + 10779215329 T^{4} \))(\( 1 + 212 T + 190082 T^{2} + 22010476 T^{3} + 10779215329 T^{4} \))(\( 1 + 400 T + 106526 T^{2} + 41529200 T^{3} + 10779215329 T^{4} \))(\( 1 - 212 T + 190082 T^{2} - 22010476 T^{3} + 10779215329 T^{4} \))(\( 1 - 928 T + 408830 T^{2} - 96347744 T^{3} + 10779215329 T^{4} \))(\( 1 + 560 T + 248606 T^{2} + 58140880 T^{3} + 10779215329 T^{4} \))(\( 1 - 188 T + 15582 T^{2} - 19518724 T^{3} + 10779215329 T^{4} \))(\( 1 + 3 T + 72213 T^{2} + 31379318 T^{3} + 7497370299 T^{4} + 32337645987 T^{5} + 1119130473102767 T^{6} \))(\( 1 - 3 T + 72213 T^{2} - 31379318 T^{3} + 7497370299 T^{4} - 32337645987 T^{5} + 1119130473102767 T^{6} \))(\( 1 - 744 T + 484154 T^{2} - 215967888 T^{3} + 79251159618 T^{4} - 22422434035824 T^{5} + 5218800218396666 T^{6} - 832633071988458648 T^{7} + \)\(11\!\cdots\!41\)\( T^{8} \))(\( 1 + 744 T + 484154 T^{2} + 215967888 T^{3} + 79251159618 T^{4} + 22422434035824 T^{5} + 5218800218396666 T^{6} + 832633071988458648 T^{7} + \)\(11\!\cdots\!41\)\( T^{8} \))(\( 1 + 306 T + 372588 T^{2} + 89451786 T^{3} + 55671907558 T^{4} + 9287152777878 T^{5} + 4016206281001452 T^{6} + 342453924769446702 T^{7} + \)\(11\!\cdots\!41\)\( T^{8} \))(\( 1 - 306 T + 372588 T^{2} - 89451786 T^{3} + 55671907558 T^{4} - 9287152777878 T^{5} + 4016206281001452 T^{6} - 342453924769446702 T^{7} + \)\(11\!\cdots\!41\)\( T^{8} \))(\( 1 - 553 T + 462491 T^{2} - 182495540 T^{3} + 84953263818 T^{4} - 25846385533590 T^{5} + 8820102709376214 T^{6} - 1967158722242132660 T^{7} + \)\(51\!\cdots\!97\)\( T^{8} - \)\(64\!\cdots\!73\)\( T^{9} + \)\(12\!\cdots\!43\)\( T^{10} \))(\( 1 + 553 T + 462491 T^{2} + 182495540 T^{3} + 84953263818 T^{4} + 25846385533590 T^{5} + 8820102709376214 T^{6} + 1967158722242132660 T^{7} + \)\(51\!\cdots\!97\)\( T^{8} + \)\(64\!\cdots\!73\)\( T^{9} + \)\(12\!\cdots\!43\)\( T^{10} \))(\( 1 + 25 T + 228235 T^{2} + 39403668 T^{3} + 27079929914 T^{4} + 7203532128886 T^{5} + 2811519563461222 T^{6} + 424740622124426772 T^{7} + \)\(25\!\cdots\!45\)\( T^{8} + \)\(29\!\cdots\!25\)\( T^{9} + \)\(12\!\cdots\!43\)\( T^{10} \))(\( 1 - 25 T + 228235 T^{2} - 39403668 T^{3} + 27079929914 T^{4} - 7203532128886 T^{5} + 2811519563461222 T^{6} - 424740622124426772 T^{7} + \)\(25\!\cdots\!45\)\( T^{8} - \)\(29\!\cdots\!25\)\( T^{9} + \)\(12\!\cdots\!43\)\( T^{10} \))(\( 1 - 208 T + 410782 T^{2} - 108070440 T^{3} + 91585947248 T^{4} - 24589568095000 T^{5} + 14922103004686338 T^{6} - 3505956335098493504 T^{7} + \)\(18\!\cdots\!18\)\( T^{8} - \)\(36\!\cdots\!92\)\( T^{9} + \)\(16\!\cdots\!02\)\( T^{10} - \)\(27\!\cdots\!00\)\( T^{11} + \)\(10\!\cdots\!68\)\( T^{12} - \)\(13\!\cdots\!20\)\( T^{13} + \)\(51\!\cdots\!98\)\( T^{14} - \)\(27\!\cdots\!76\)\( T^{15} + \)\(13\!\cdots\!81\)\( T^{16} \))(\( 1 + 208 T + 410782 T^{2} + 108070440 T^{3} + 91585947248 T^{4} + 24589568095000 T^{5} + 14922103004686338 T^{6} + 3505956335098493504 T^{7} + \)\(18\!\cdots\!18\)\( T^{8} + \)\(36\!\cdots\!92\)\( T^{9} + \)\(16\!\cdots\!02\)\( T^{10} + \)\(27\!\cdots\!00\)\( T^{11} + \)\(10\!\cdots\!68\)\( T^{12} + \)\(13\!\cdots\!20\)\( T^{13} + \)\(51\!\cdots\!98\)\( T^{14} + \)\(27\!\cdots\!76\)\( T^{15} + \)\(13\!\cdots\!81\)\( T^{16} \))
$53$ (\( 1 - 142 T + 148877 T^{2} \))(\( 1 - 142 T + 148877 T^{2} \))(\( 1 - 336 T + 148877 T^{2} \))(\( 1 + 58 T + 148877 T^{2} \))(\( 1 + 338 T + 148877 T^{2} \))(\( 1 + 58 T + 148877 T^{2} \))(\( 1 + 663 T + 148877 T^{2} \))(\( 1 + 663 T + 148877 T^{2} \))(\( 1 - 450 T + 148877 T^{2} \))(\( 1 + 754 T + 148877 T^{2} \))(\( 1 - 34 T + 103410 T^{2} - 5061818 T^{3} + 22164361129 T^{4} \))(\( 1 + 368 T + 325338 T^{2} + 54786736 T^{3} + 22164361129 T^{4} \))(\( 1 - 16 T + 260838 T^{2} - 2382032 T^{3} + 22164361129 T^{4} \))(\( 1 + 368 T + 325338 T^{2} + 54786736 T^{3} + 22164361129 T^{4} \))(\( 1 - 884 T + 460350 T^{2} - 131607268 T^{3} + 22164361129 T^{4} \))(\( 1 - 326 T + 204138 T^{2} - 48533902 T^{3} + 22164361129 T^{4} \))(\( 1 - 982 T + 504354 T^{2} - 146197214 T^{3} + 22164361129 T^{4} \))(\( 1 - 331 T + 442671 T^{2} - 98567438 T^{3} + 65903530467 T^{4} - 7336403533699 T^{5} + 3299763591802133 T^{6} \))(\( 1 - 331 T + 442671 T^{2} - 98567438 T^{3} + 65903530467 T^{4} - 7336403533699 T^{5} + 3299763591802133 T^{6} \))(\( 1 + 360 T + 584426 T^{2} + 157471200 T^{3} + 129797961402 T^{4} + 23443839842400 T^{5} + 12953428917176954 T^{6} + 1187914893048767880 T^{7} + \)\(49\!\cdots\!41\)\( T^{8} \))(\( 1 + 360 T + 584426 T^{2} + 157471200 T^{3} + 129797961402 T^{4} + 23443839842400 T^{5} + 12953428917176954 T^{6} + 1187914893048767880 T^{7} + \)\(49\!\cdots\!41\)\( T^{8} \))(\( 1 + 276 T + 425344 T^{2} + 89438508 T^{3} + 82314383246 T^{4} + 13315336755516 T^{5} + 9427478020053376 T^{6} + 910734751337388708 T^{7} + \)\(49\!\cdots\!41\)\( T^{8} \))(\( 1 + 276 T + 425344 T^{2} + 89438508 T^{3} + 82314383246 T^{4} + 13315336755516 T^{5} + 9427478020053376 T^{6} + 910734751337388708 T^{7} + \)\(49\!\cdots\!41\)\( T^{8} \))(\( 1 + 1135 T + 943857 T^{2} + 589385932 T^{3} + 301335586346 T^{4} + 126213163925354 T^{5} + 44861938088433442 T^{6} + 13063362641200237228 T^{7} + \)\(31\!\cdots\!81\)\( T^{8} + \)\(55\!\cdots\!35\)\( T^{9} + \)\(73\!\cdots\!57\)\( T^{10} \))(\( 1 + 1135 T + 943857 T^{2} + 589385932 T^{3} + 301335586346 T^{4} + 126213163925354 T^{5} + 44861938088433442 T^{6} + 13063362641200237228 T^{7} + \)\(31\!\cdots\!81\)\( T^{8} + \)\(55\!\cdots\!35\)\( T^{9} + \)\(73\!\cdots\!57\)\( T^{10} \))(\( 1 + 317 T + 63881 T^{2} + 42870580 T^{3} + 34006441938 T^{4} + 11406221196414 T^{5} + 5062777056403626 T^{6} + 950199016929684820 T^{7} + \)\(21\!\cdots\!73\)\( T^{8} + \)\(15\!\cdots\!97\)\( T^{9} + \)\(73\!\cdots\!57\)\( T^{10} \))(\( 1 + 317 T + 63881 T^{2} + 42870580 T^{3} + 34006441938 T^{4} + 11406221196414 T^{5} + 5062777056403626 T^{6} + 950199016929684820 T^{7} + \)\(21\!\cdots\!73\)\( T^{8} + \)\(15\!\cdots\!97\)\( T^{9} + \)\(73\!\cdots\!57\)\( T^{10} \))(\( 1 - 1144 T + 1178298 T^{2} - 809806288 T^{3} + 523524163596 T^{4} - 274685699729600 T^{5} + 137523541849643678 T^{6} - 58853534241154325304 T^{7} + \)\(24\!\cdots\!62\)\( T^{8} - \)\(87\!\cdots\!08\)\( T^{9} + \)\(30\!\cdots\!62\)\( T^{10} - \)\(90\!\cdots\!00\)\( T^{11} + \)\(25\!\cdots\!36\)\( T^{12} - \)\(59\!\cdots\!16\)\( T^{13} + \)\(12\!\cdots\!22\)\( T^{14} - \)\(18\!\cdots\!32\)\( T^{15} + \)\(24\!\cdots\!81\)\( T^{16} \))(\( 1 - 1144 T + 1178298 T^{2} - 809806288 T^{3} + 523524163596 T^{4} - 274685699729600 T^{5} + 137523541849643678 T^{6} - 58853534241154325304 T^{7} + \)\(24\!\cdots\!62\)\( T^{8} - \)\(87\!\cdots\!08\)\( T^{9} + \)\(30\!\cdots\!62\)\( T^{10} - \)\(90\!\cdots\!00\)\( T^{11} + \)\(25\!\cdots\!36\)\( T^{12} - \)\(59\!\cdots\!16\)\( T^{13} + \)\(12\!\cdots\!22\)\( T^{14} - \)\(18\!\cdots\!32\)\( T^{15} + \)\(24\!\cdots\!81\)\( T^{16} \))
$59$ (\( 1 - 108 T + 205379 T^{2} \))(\( 1 + 108 T + 205379 T^{2} \))(\( 1 - 360 T + 205379 T^{2} \))(\( 1 - 348 T + 205379 T^{2} \))(\( 1 + 100 T + 205379 T^{2} \))(\( 1 + 348 T + 205379 T^{2} \))(\( 1 + 60 T + 205379 T^{2} \))(\( 1 - 60 T + 205379 T^{2} \))(\( 1 + 24 T + 205379 T^{2} \))(\( 1 + 380 T + 205379 T^{2} \))(\( 1 + 364 T + 438374 T^{2} + 74757956 T^{3} + 42180533641 T^{4} \))(\( 1 + 140 T + 346466 T^{2} + 28753060 T^{3} + 42180533641 T^{4} \))(\( 1 - 464 T + 458102 T^{2} - 95295856 T^{3} + 42180533641 T^{4} \))(\( 1 - 140 T + 346466 T^{2} - 28753060 T^{3} + 42180533641 T^{4} \))(\( 1 + 104 T + 80534 T^{2} + 21359416 T^{3} + 42180533641 T^{4} \))(\( 1 - 844 T + 474182 T^{2} - 173339876 T^{3} + 42180533641 T^{4} \))(\( 1 + 516 T + 418118 T^{2} + 105975564 T^{3} + 42180533641 T^{4} \))(\( 1 + 1520 T + 1161665 T^{2} + 599760000 T^{3} + 238581596035 T^{4} + 64114411134320 T^{5} + 8662995818654939 T^{6} \))(\( 1 - 1520 T + 1161665 T^{2} - 599760000 T^{3} + 238581596035 T^{4} - 64114411134320 T^{5} + 8662995818654939 T^{6} \))(\( 1 - 1828 T + 1777088 T^{2} - 1198461988 T^{3} + 612793387918 T^{4} - 246138924633452 T^{5} + 74958520167017408 T^{6} - 15835956356501228492 T^{7} + \)\(17\!\cdots\!81\)\( T^{8} \))(\( 1 + 1828 T + 1777088 T^{2} + 1198461988 T^{3} + 612793387918 T^{4} + 246138924633452 T^{5} + 74958520167017408 T^{6} + 15835956356501228492 T^{7} + \)\(17\!\cdots\!81\)\( T^{8} \))(\( 1 + 328 T + 492028 T^{2} + 118632840 T^{3} + 136906940630 T^{4} + 24364694046360 T^{5} + 20754003606313948 T^{6} + 2841462628518819992 T^{7} + \)\(17\!\cdots\!81\)\( T^{8} \))(\( 1 - 328 T + 492028 T^{2} - 118632840 T^{3} + 136906940630 T^{4} - 24364694046360 T^{5} + 20754003606313948 T^{6} - 2841462628518819992 T^{7} + \)\(17\!\cdots\!81\)\( T^{8} \))(\( 1 - 332 T + 430695 T^{2} - 193484688 T^{3} + 141650637134 T^{4} - 42256513340024 T^{5} + 29092066203943786 T^{6} - 8161287391202389008 T^{7} + \)\(37\!\cdots\!05\)\( T^{8} - \)\(59\!\cdots\!92\)\( T^{9} + \)\(36\!\cdots\!99\)\( T^{10} \))(\( 1 + 332 T + 430695 T^{2} + 193484688 T^{3} + 141650637134 T^{4} + 42256513340024 T^{5} + 29092066203943786 T^{6} + 8161287391202389008 T^{7} + \)\(37\!\cdots\!05\)\( T^{8} + \)\(59\!\cdots\!92\)\( T^{9} + \)\(36\!\cdots\!99\)\( T^{10} \))(\( 1 + 676 T + 716155 T^{2} + 253524600 T^{3} + 181828085426 T^{4} + 48418587776920 T^{5} + 37343670356706454 T^{6} + 10693802919121068600 T^{7} + \)\(62\!\cdots\!45\)\( T^{8} + \)\(12\!\cdots\!56\)\( T^{9} + \)\(36\!\cdots\!99\)\( T^{10} \))(\( 1 - 676 T + 716155 T^{2} - 253524600 T^{3} + 181828085426 T^{4} - 48418587776920 T^{5} + 37343670356706454 T^{6} - 10693802919121068600 T^{7} + \)\(62\!\cdots\!45\)\( T^{8} - \)\(12\!\cdots\!56\)\( T^{9} + \)\(36\!\cdots\!99\)\( T^{10} \))(\( 1 + 596 T + 1233884 T^{2} + 624892996 T^{3} + 738190000740 T^{4} + 316997921410724 T^{5} + 272161685877004996 T^{6} + 98760183011908082132 T^{7} + \)\(67\!\cdots\!94\)\( T^{8} + \)\(20\!\cdots\!28\)\( T^{9} + \)\(11\!\cdots\!36\)\( T^{10} + \)\(27\!\cdots\!36\)\( T^{11} + \)\(13\!\cdots\!40\)\( T^{12} + \)\(22\!\cdots\!04\)\( T^{13} + \)\(92\!\cdots\!64\)\( T^{14} + \)\(91\!\cdots\!64\)\( T^{15} + \)\(31\!\cdots\!61\)\( T^{16} \))(\( 1 - 596 T + 1233884 T^{2} - 624892996 T^{3} + 738190000740 T^{4} - 316997921410724 T^{5} + 272161685877004996 T^{6} - 98760183011908082132 T^{7} + \)\(67\!\cdots\!94\)\( T^{8} - \)\(20\!\cdots\!28\)\( T^{9} + \)\(11\!\cdots\!36\)\( T^{10} - \)\(27\!\cdots\!36\)\( T^{11} + \)\(13\!\cdots\!40\)\( T^{12} - \)\(22\!\cdots\!04\)\( T^{13} + \)\(92\!\cdots\!64\)\( T^{14} - \)\(91\!\cdots\!64\)\( T^{15} + \)\(31\!\cdots\!61\)\( T^{16} \))
$61$ (\( 1 + 168 T + 226981 T^{2} \))(\( 1 - 168 T + 226981 T^{2} \))(\( 1 - 682 T + 226981 T^{2} \))(\( 1 - 882 T + 226981 T^{2} \))(\( 1 + 742 T + 226981 T^{2} \))(\( 1 + 882 T + 226981 T^{2} \))(\( 1 - 392 T + 226981 T^{2} \))(\( 1 + 392 T + 226981 T^{2} \))(\( 1 - 322 T + 226981 T^{2} \))(\( 1 + 718 T + 226981 T^{2} \))(\( 1 + 792 T + 340886 T^{2} + 179768952 T^{3} + 51520374361 T^{4} \))(\( 1 + 732 T + 580718 T^{2} + 166150092 T^{3} + 51520374361 T^{4} \))(\( 1 - 684 T + 535646 T^{2} - 155255004 T^{3} + 51520374361 T^{4} \))(\( 1 - 732 T + 580718 T^{2} - 166150092 T^{3} + 51520374361 T^{4} \))(\( 1 - 468 T + 494606 T^{2} - 106227108 T^{3} + 51520374361 T^{4} \))(\( 1 - 204 T + 455006 T^{2} - 46304124 T^{3} + 51520374361 T^{4} \))(\( 1 - 880 T + 575238 T^{2} - 199743280 T^{3} + 51520374361 T^{4} \))(\( 1 + 1160 T + 1094643 T^{2} + 571897312 T^{3} + 248463162783 T^{4} + 59763634258760 T^{5} + 11694146092834141 T^{6} \))(\( 1 - 1160 T + 1094643 T^{2} - 571897312 T^{3} + 248463162783 T^{4} - 59763634258760 T^{5} + 11694146092834141 T^{6} \))(\( 1 + 1212 T + 1088742 T^{2} + 660751308 T^{3} + 353696934338 T^{4} + 149977992641148 T^{5} + 56092395422543862 T^{6} + 14173305064514978892 T^{7} + \)\(26\!\cdots\!21\)\( T^{8} \))(\( 1 - 1212 T + 1088742 T^{2} - 660751308 T^{3} + 353696934338 T^{4} - 149977992641148 T^{5} + 56092395422543862 T^{6} - 14173305064514978892 T^{7} + \)\(26\!\cdots\!21\)\( T^{8} \))(\( 1 - 174 T + 381028 T^{2} + 41891598 T^{3} + 68618895414 T^{4} + 9508596805638 T^{5} + 19630705202023108 T^{6} - 2034781420153140534 T^{7} + \)\(26\!\cdots\!21\)\( T^{8} \))(\( 1 + 174 T + 381028 T^{2} - 41891598 T^{3} + 68618895414 T^{4} - 9508596805638 T^{5} + 19630705202023108 T^{6} + 2034781420153140534 T^{7} + \)\(26\!\cdots\!21\)\( T^{8} \))(\( 1 - 584 T + 1025065 T^{2} - 451595616 T^{3} + 443116140490 T^{4} - 146536066176944 T^{5} + 100578944684560690 T^{6} - 23266375196106401376 T^{7} + \)\(11\!\cdots\!65\)\( T^{8} - \)\(15\!\cdots\!64\)\( T^{9} + \)\(60\!\cdots\!01\)\( T^{10} \))(\( 1 + 584 T + 1025065 T^{2} + 451595616 T^{3} + 443116140490 T^{4} + 146536066176944 T^{5} + 100578944684560690 T^{6} + 23266375196106401376 T^{7} + \)\(11\!\cdots\!65\)\( T^{8} + \)\(15\!\cdots\!64\)\( T^{9} + \)\(60\!\cdots\!01\)\( T^{10} \))(\( 1 - 188 T + 466825 T^{2} - 230384112 T^{3} + 145316240170 T^{4} - 68738775972008 T^{5} + 32984025510026770 T^{6} - 11869475697066552432 T^{7} + \)\(54\!\cdots\!25\)\( T^{8} - \)\(49\!\cdots\!48\)\( T^{9} + \)\(60\!\cdots\!01\)\( T^{10} \))(\( 1 + 188 T + 466825 T^{2} + 230384112 T^{3} + 145316240170 T^{4} + 68738775972008 T^{5} + 32984025510026770 T^{6} + 11869475697066552432 T^{7} + \)\(54\!\cdots\!25\)\( T^{8} + \)\(49\!\cdots\!48\)\( T^{9} + \)\(60\!\cdots\!01\)\( T^{10} \))(\( 1 + 740 T + 896262 T^{2} + 489986452 T^{3} + 386249665780 T^{4} + 169838570105324 T^{5} + 107024558964575682 T^{6} + 41514193815272603836 T^{7} + \)\(25\!\cdots\!70\)\( T^{8} + \)\(94\!\cdots\!16\)\( T^{9} + \)\(55\!\cdots\!02\)\( T^{10} + \)\(19\!\cdots\!84\)\( T^{11} + \)\(10\!\cdots\!80\)\( T^{12} + \)\(29\!\cdots\!52\)\( T^{13} + \)\(12\!\cdots\!22\)\( T^{14} + \)\(22\!\cdots\!40\)\( T^{15} + \)\(70\!\cdots\!41\)\( T^{16} \))(\( 1 - 740 T + 896262 T^{2} - 489986452 T^{3} + 386249665780 T^{4} - 169838570105324 T^{5} + 107024558964575682 T^{6} - 41514193815272603836 T^{7} + \)\(25\!\cdots\!70\)\( T^{8} - \)\(94\!\cdots\!16\)\( T^{9} + \)\(55\!\cdots\!02\)\( T^{10} - \)\(19\!\cdots\!84\)\( T^{11} + \)\(10\!\cdots\!80\)\( T^{12} - \)\(29\!\cdots\!52\)\( T^{13} + \)\(12\!\cdots\!22\)\( T^{14} - \)\(22\!\cdots\!40\)\( T^{15} + \)\(70\!\cdots\!41\)\( T^{16} \))
$67$ (\( 1 - 448 T + 300763 T^{2} \))(\( 1 - 448 T + 300763 T^{2} \))(\( 1 - 812 T + 300763 T^{2} \))(\( 1 + 182 T + 300763 T^{2} \))(\( 1 + 84 T + 300763 T^{2} \))(\( 1 + 182 T + 300763 T^{2} \))(\( 1 + 280 T + 300763 T^{2} \))(\( 1 + 280 T + 300763 T^{2} \))(\( 1 + 196 T + 300763 T^{2} \))(\( 1 - 412 T + 300763 T^{2} \))(\( 1 + 788 T + 753430 T^{2} + 237001244 T^{3} + 90458382169 T^{4} \))(\( 1 - 1066 T + 760615 T^{2} - 320613358 T^{3} + 90458382169 T^{4} \))(\( 1 - 736 T + 602470 T^{2} - 221361568 T^{3} + 90458382169 T^{4} \))(\( 1 - 1066 T + 760615 T^{2} - 320613358 T^{3} + 90458382169 T^{4} \))(\( 1 + 1688 T + 1302310 T^{2} + 507687944 T^{3} + 90458382169 T^{4} \))(\( 1 + 104 T + 537670 T^{2} + 31279352 T^{3} + 90458382169 T^{4} \))(\( 1 + 356 T + 100374 T^{2} + 107071628 T^{3} + 90458382169 T^{4} \))(\( 1 - 806 T + 956790 T^{2} - 441427296 T^{3} + 287767030770 T^{4} - 72909456028214 T^{5} + 27206534396294947 T^{6} \))(\( 1 - 806 T + 956790 T^{2} - 441427296 T^{3} + 287767030770 T^{4} - 72909456028214 T^{5} + 27206534396294947 T^{6} \))(\( 1 + 1036 T + 840646 T^{2} + 320834716 T^{3} + 175705970722 T^{4} + 96495211688308 T^{5} + 76043477136841174 T^{6} + 28185969634561565092 T^{7} + \)\(81\!\cdots\!61\)\( T^{8} \))(\( 1 + 1036 T + 840646 T^{2} + 320834716 T^{3} + 175705970722 T^{4} + 96495211688308 T^{5} + 76043477136841174 T^{6} + 28185969634561565092 T^{7} + \)\(81\!\cdots\!61\)\( T^{8} \))(\( 1 + 994 T + 1017116 T^{2} + 626696706 T^{3} + 409690183478 T^{4} + 188487181386678 T^{5} + 92006667838204604 T^{6} + 27043295189917177318 T^{7} + \)\(81\!\cdots\!61\)\( T^{8} \))(\( 1 + 994 T + 1017116 T^{2} + 626696706 T^{3} + 409690183478 T^{4} + 188487181386678 T^{5} + 92006667838204604 T^{6} + 27043295189917177318 T^{7} + \)\(81\!\cdots\!61\)\( T^{8} \))(\( 1 - 412 T + 803029 T^{2} - 425784204 T^{3} + 414855372669 T^{4} - 159644541100688 T^{5} + 124773146450046447 T^{6} - 38515750246955458476 T^{7} + \)\(21\!\cdots\!63\)\( T^{8} - \)\(33\!\cdots\!32\)\( T^{9} + \)\(24\!\cdots\!43\)\( T^{10} \))(\( 1 - 412 T + 803029 T^{2} - 425784204 T^{3} + 414855372669 T^{4} - 159644541100688 T^{5} + 124773146450046447 T^{6} - 38515750246955458476 T^{7} + \)\(21\!\cdots\!63\)\( T^{8} - \)\(33\!\cdots\!32\)\( T^{9} + \)\(24\!\cdots\!43\)\( T^{10} \))(\( 1 + 1776 T + 1851345 T^{2} + 1246453148 T^{3} + 690283291837 T^{4} + 353768637982420 T^{5} + 207611673702771631 T^{6} + \)\(11\!\cdots\!12\)\( T^{7} + \)\(50\!\cdots\!15\)\( T^{8} + \)\(14\!\cdots\!36\)\( T^{9} + \)\(24\!\cdots\!43\)\( T^{10} \))(\( 1 + 1776 T + 1851345 T^{2} + 1246453148 T^{3} + 690283291837 T^{4} + 353768637982420 T^{5} + 207611673702771631 T^{6} + \)\(11\!\cdots\!12\)\( T^{7} + \)\(50\!\cdots\!15\)\( T^{8} + \)\(14\!\cdots\!36\)\( T^{9} + \)\(24\!\cdots\!43\)\( T^{10} \))(\( 1 - 1964 T + 3283314 T^{2} - 3714347852 T^{3} + 3733500908320 T^{4} - 3038553105000172 T^{5} + 2258289159977344894 T^{6} - \)\(14\!\cdots\!56\)\( T^{7} + \)\(84\!\cdots\!22\)\( T^{8} - \)\(43\!\cdots\!28\)\( T^{9} + \)\(20\!\cdots\!86\)\( T^{10} - \)\(82\!\cdots\!84\)\( T^{11} + \)\(30\!\cdots\!20\)\( T^{12} - \)\(91\!\cdots\!36\)\( T^{13} + \)\(24\!\cdots\!26\)\( T^{14} - \)\(43\!\cdots\!88\)\( T^{15} + \)\(66\!\cdots\!21\)\( T^{16} \))(\( 1 - 1964 T + 3283314 T^{2} - 3714347852 T^{3} + 3733500908320 T^{4} - 3038553105000172 T^{5} + 2258289159977344894 T^{6} - \)\(14\!\cdots\!56\)\( T^{7} + \)\(84\!\cdots\!22\)\( T^{8} - \)\(43\!\cdots\!28\)\( T^{9} + \)\(20\!\cdots\!86\)\( T^{10} - \)\(82\!\cdots\!84\)\( T^{11} + \)\(30\!\cdots\!20\)\( T^{12} - \)\(91\!\cdots\!36\)\( T^{13} + \)\(24\!\cdots\!26\)\( T^{14} - \)\(43\!\cdots\!88\)\( T^{15} + \)\(66\!\cdots\!21\)\( T^{16} \))
$71$ (\( 1 - 146 T + 357911 T^{2} \))(\( 1 - 146 T + 357911 T^{2} \))(\( 1 - 810 T + 357911 T^{2} \))(\( 1 + 524 T + 357911 T^{2} \))(\( 1 + 328 T + 357911 T^{2} \))(\( 1 + 524 T + 357911 T^{2} \))(\( 1 - 258 T + 357911 T^{2} \))(\( 1 - 258 T + 357911 T^{2} \))(\( 1 + 288 T + 357911 T^{2} \))(\( 1 + 960 T + 357911 T^{2} \))(\( 1 - 454 T + 304526 T^{2} - 162491594 T^{3} + 128100283921 T^{4} \))(\( 1 + 1208 T + 959606 T^{2} + 432356488 T^{3} + 128100283921 T^{4} \))(\( 1 + 740 T + 757502 T^{2} + 264854140 T^{3} + 128100283921 T^{4} \))(\( 1 + 1208 T + 959606 T^{2} + 432356488 T^{3} + 128100283921 T^{4} \))(\( 1 + 136 T + 540446 T^{2} + 48675896 T^{3} + 128100283921 T^{4} \))(\( 1 - 1670 T + 1384382 T^{2} - 597711370 T^{3} + 128100283921 T^{4} \))(\( 1 - 310 T + 664038 T^{2} - 110952410 T^{3} + 128100283921 T^{4} \))(\( 1 + 406 T + 391273 T^{2} + 58294156 T^{3} + 140040910703 T^{4} + 52008715271926 T^{5} + 45848500718449031 T^{6} \))(\( 1 + 406 T + 391273 T^{2} + 58294156 T^{3} + 140040910703 T^{4} + 52008715271926 T^{5} + 45848500718449031 T^{6} \))(\( 1 + 876 T + 792976 T^{2} + 539883132 T^{3} + 367674222558 T^{4} + 193230111657252 T^{5} + 101580450742538896 T^{6} + 40163286629361351156 T^{7} + \)\(16\!\cdots\!41\)\( T^{8} \))(\( 1 + 876 T + 792976 T^{2} + 539883132 T^{3} + 367674222558 T^{4} + 193230111657252 T^{5} + 101580450742538896 T^{6} + 40163286629361351156 T^{7} + \)\(16\!\cdots\!41\)\( T^{8} \))(\( 1 - 2442 T + 2673092 T^{2} - 1818684450 T^{3} + 1054822809494 T^{4} - 650927170183950 T^{5} + 342423844146953732 T^{6} - \)\(11\!\cdots\!02\)\( T^{7} + \)\(16\!\cdots\!41\)\( T^{8} \))(\( 1 - 2442 T + 2673092 T^{2} - 1818684450 T^{3} + 1054822809494 T^{4} - 650927170183950 T^{5} + 342423844146953732 T^{6} - \)\(11\!\cdots\!02\)\( T^{7} + \)\(16\!\cdots\!41\)\( T^{8} \))(\( 1 + 142 T + 1020275 T^{2} + 238977320 T^{3} + 602260486134 T^{4} + 107445186880572 T^{5} + 215555652852706074 T^{6} + 30613062542679671720 T^{7} + \)\(46\!\cdots\!25\)\( T^{8} + \)\(23\!\cdots\!22\)\( T^{9} + \)\(58\!\cdots\!51\)\( T^{10} \))(\( 1 + 142 T + 1020275 T^{2} + 238977320 T^{3} + 602260486134 T^{4} + 107445186880572 T^{5} + 215555652852706074 T^{6} + 30613062542679671720 T^{7} + \)\(46\!\cdots\!25\)\( T^{8} + \)\(23\!\cdots\!22\)\( T^{9} + \)\(58\!\cdots\!51\)\( T^{10} \))(\( 1 + 6 T + 797207 T^{2} - 67070712 T^{3} + 425455729610 T^{4} - 37303525976244 T^{5} + 152275285640444710 T^{6} - 8591777249983621752 T^{7} + \)\(36\!\cdots\!17\)\( T^{8} + \)\(98\!\cdots\!46\)\( T^{9} + \)\(58\!\cdots\!51\)\( T^{10} \))(\( 1 + 6 T + 797207 T^{2} - 67070712 T^{3} + 425455729610 T^{4} - 37303525976244 T^{5} + 152275285640444710 T^{6} - 8591777249983621752 T^{7} + \)\(36\!\cdots\!17\)\( T^{8} + \)\(98\!\cdots\!46\)\( T^{9} + \)\(58\!\cdots\!51\)\( T^{10} \))(\( 1 + 4 T + 2234556 T^{2} + 72847780 T^{3} + 2284303815268 T^{4} + 116326768419060 T^{5} + 1426863974765567108 T^{6} + 79708983930645476628 T^{7} + \)\(60\!\cdots\!66\)\( T^{8} + \)\(28\!\cdots\!08\)\( T^{9} + \)\(18\!\cdots\!68\)\( T^{10} + \)\(53\!\cdots\!60\)\( T^{11} + \)\(37\!\cdots\!88\)\( T^{12} + \)\(42\!\cdots\!80\)\( T^{13} + \)\(46\!\cdots\!16\)\( T^{14} + \)\(30\!\cdots\!84\)\( T^{15} + \)\(26\!\cdots\!81\)\( T^{16} \))(\( 1 + 4 T + 2234556 T^{2} + 72847780 T^{3} + 2284303815268 T^{4} + 116326768419060 T^{5} + 1426863974765567108 T^{6} + 79708983930645476628 T^{7} + \)\(60\!\cdots\!66\)\( T^{8} + \)\(28\!\cdots\!08\)\( T^{9} + \)\(18\!\cdots\!68\)\( T^{10} + \)\(53\!\cdots\!60\)\( T^{11} + \)\(37\!\cdots\!88\)\( T^{12} + \)\(42\!\cdots\!80\)\( T^{13} + \)\(46\!\cdots\!16\)\( T^{14} + \)\(30\!\cdots\!84\)\( T^{15} + \)\(26\!\cdots\!81\)\( T^{16} \))
$73$ (\( 1 + 360 T + 389017 T^{2} \))(\( 1 - 360 T + 389017 T^{2} \))(\( 1 - 124 T + 389017 T^{2} \))(\( 1 + 690 T + 389017 T^{2} \))(\( 1 - 38 T + 389017 T^{2} \))(\( 1 - 690 T + 389017 T^{2} \))(\( 1 - 578 T + 389017 T^{2} \))(\( 1 + 578 T + 389017 T^{2} \))(\( 1 - 430 T + 389017 T^{2} \))(\( 1 + 1066 T + 389017 T^{2} \))(\( 1 + 778 T + 794698 T^{2} + 302655226 T^{3} + 151334226289 T^{4} \))(\( 1 - 1654 T + 1461763 T^{2} - 643434118 T^{3} + 151334226289 T^{4} \))(\( 1 + 424 T + 748558 T^{2} + 164943208 T^{3} + 151334226289 T^{4} \))(\( 1 + 1654 T + 1461763 T^{2} + 643434118 T^{3} + 151334226289 T^{4} \))(\( 1 + 508 T + 13078 T^{2} + 197620636 T^{3} + 151334226289 T^{4} \))(\( 1 - 386 T + 152218 T^{2} - 150160562 T^{3} + 151334226289 T^{4} \))(\( 1 + 326 T + 789802 T^{2} + 126819542 T^{3} + 151334226289 T^{4} \))(\( 1 + 1192 T + 1524996 T^{2} + 931572678 T^{3} + 593249368932 T^{4} + 180390397736488 T^{5} + 58871586708267913 T^{6} \))(\( 1 - 1192 T + 1524996 T^{2} - 931572678 T^{3} + 593249368932 T^{4} - 180390397736488 T^{5} + 58871586708267913 T^{6} \))(\( 1 + 420 T + 1220176 T^{2} + 336090060 T^{3} + 642279652830 T^{4} + 130744746871020 T^{5} + 184654390896406864 T^{6} + 24726066417472523460 T^{7} + \)\(22\!\cdots\!21\)\( T^{8} \))(\( 1 - 420 T + 1220176 T^{2} - 336090060 T^{3} + 642279652830 T^{4} - 130744746871020 T^{5} + 184654390896406864 T^{6} - 24726066417472523460 T^{7} + \)\(22\!\cdots\!21\)\( T^{8} \))(\( 1 - 14 T + 629040 T^{2} + 193498926 T^{3} + 222361463902 T^{4} + 75274371695742 T^{5} + 95195281704832560 T^{6} - 824202213915750782 T^{7} + \)\(22\!\cdots\!21\)\( T^{8} \))(\( 1 + 14 T + 629040 T^{2} - 193498926 T^{3} + 222361463902 T^{4} - 75274371695742 T^{5} + 95195281704832560 T^{6} + 824202213915750782 T^{7} + \)\(22\!\cdots\!21\)\( T^{8} \))(\( 1 - 2074 T + 3294611 T^{2} - 3405083248 T^{3} + 2994705042233 T^{4} - 2001958016751466 T^{5} + 1164991171414354961 T^{6} - \)\(51\!\cdots\!72\)\( T^{7} + \)\(19\!\cdots\!43\)\( T^{8} - \)\(47\!\cdots\!54\)\( T^{9} + \)\(89\!\cdots\!57\)\( T^{10} \))(\( 1 + 2074 T + 3294611 T^{2} + 3405083248 T^{3} + 2994705042233 T^{4} + 2001958016751466 T^{5} + 1164991171414354961 T^{6} + \)\(51\!\cdots\!72\)\( T^{7} + \)\(19\!\cdots\!43\)\( T^{8} + \)\(47\!\cdots\!54\)\( T^{9} + \)\(89\!\cdots\!57\)\( T^{10} \))(\( 1 + 2006 T + 1810591 T^{2} + 781927352 T^{3} + 92460264673 T^{4} - 64315791527426 T^{5} + 35968614782296441 T^{6} + \)\(11\!\cdots\!28\)\( T^{7} + \)\(10\!\cdots\!83\)\( T^{8} + \)\(45\!\cdots\!26\)\( T^{9} + \)\(89\!\cdots\!57\)\( T^{10} \))(\( 1 - 2006 T + 1810591 T^{2} - 781927352 T^{3} + 92460264673 T^{4} + 64315791527426 T^{5} + 35968614782296441 T^{6} - \)\(11\!\cdots\!28\)\( T^{7} + \)\(10\!\cdots\!83\)\( T^{8} - \)\(45\!\cdots\!26\)\( T^{9} + \)\(89\!\cdots\!57\)\( T^{10} \))(\( 1 - 1500 T + 2874492 T^{2} - 2878795844 T^{3} + 3079614034340 T^{4} - 2348116961277292 T^{5} + 1837496040779094852 T^{6} - \)\(11\!\cdots\!28\)\( T^{7} + \)\(79\!\cdots\!70\)\( T^{8} - \)\(46\!\cdots\!76\)\( T^{9} + \)\(27\!\cdots\!28\)\( T^{10} - \)\(13\!\cdots\!96\)\( T^{11} + \)\(70\!\cdots\!40\)\( T^{12} - \)\(25\!\cdots\!08\)\( T^{13} + \)\(99\!\cdots\!48\)\( T^{14} - \)\(20\!\cdots\!00\)\( T^{15} + \)\(52\!\cdots\!41\)\( T^{16} \))(\( 1 + 1500 T + 2874492 T^{2} + 2878795844 T^{3} + 3079614034340 T^{4} + 2348116961277292 T^{5} + 1837496040779094852 T^{6} + \)\(11\!\cdots\!28\)\( T^{7} + \)\(79\!\cdots\!70\)\( T^{8} + \)\(46\!\cdots\!76\)\( T^{9} + \)\(27\!\cdots\!28\)\( T^{10} + \)\(13\!\cdots\!96\)\( T^{11} + \)\(70\!\cdots\!40\)\( T^{12} + \)\(25\!\cdots\!08\)\( T^{13} + \)\(99\!\cdots\!48\)\( T^{14} + \)\(20\!\cdots\!00\)\( T^{15} + \)\(52\!\cdots\!41\)\( T^{16} \))
$79$ (\( 1 - 236 T + 493039 T^{2} \))(\( 1 - 236 T + 493039 T^{2} \))(\( 1 - 1136 T + 493039 T^{2} \))(\( 1 + 1024 T + 493039 T^{2} \))(\( 1 + 240 T + 493039 T^{2} \))(\( 1 + 1024 T + 493039 T^{2} \))(\( 1 - 152 T + 493039 T^{2} \))(\( 1 - 152 T + 493039 T^{2} \))(\( 1 + 520 T + 493039 T^{2} \))(\( 1 - 896 T + 493039 T^{2} \))(\( 1 - 408 T + 994782 T^{2} - 201159912 T^{3} + 243087455521 T^{4} \))(\( 1 - 1134 T + 1305519 T^{2} - 559106226 T^{3} + 243087455521 T^{4} \))(\( 1 + 408 T - 143586 T^{2} + 201159912 T^{3} + 243087455521 T^{4} \))(\( 1 - 1134 T + 1305519 T^{2} - 559106226 T^{3} + 243087455521 T^{4} \))(\( 1 + 432 T + 602142 T^{2} + 212992848 T^{3} + 243087455521 T^{4} \))(\( 1 + 888 T + 1007454 T^{2} + 437818632 T^{3} + 243087455521 T^{4} \))(\( 1 - 1832 T + 1824478 T^{2} - 903247448 T^{3} + 243087455521 T^{4} \))(\( 1 + 2590 T + 3310582 T^{2} + 2751421632 T^{3} + 1632246038698 T^{4} + 629596509799390 T^{5} + 119851595982618319 T^{6} \))(\( 1 + 2590 T + 3310582 T^{2} + 2751421632 T^{3} + 1632246038698 T^{4} + 629596509799390 T^{5} + 119851595982618319 T^{6} \))(\( 1 + 700 T + 1876864 T^{2} + 985235980 T^{3} + 1369405784254 T^{4} + 485759762343220 T^{5} + 456242094118966144 T^{6} + 83896117187832823300 T^{7} + \)\(59\!\cdots\!41\)\( T^{8} \))(\( 1 + 700 T + 1876864 T^{2} + 985235980 T^{3} + 1369405784254 T^{4} + 485759762343220 T^{5} + 456242094118966144 T^{6} + 83896117187832823300 T^{7} + \)\(59\!\cdots\!41\)\( T^{8} \))(\( 1 + 252 T + 618908 T^{2} - 532621620 T^{3} - 16356522234 T^{4} - 262603230903180 T^{5} + 150448770921591068 T^{6} + 30202602187619816388 T^{7} + \)\(59\!\cdots\!41\)\( T^{8} \))(\( 1 + 252 T + 618908 T^{2} - 532621620 T^{3} - 16356522234 T^{4} - 262603230903180 T^{5} + 150448770921591068 T^{6} + 30202602187619816388 T^{7} + \)\(59\!\cdots\!41\)\( T^{8} \))(\( 1 - 28 T + 1714017 T^{2} + 44922060 T^{3} + 1414598818969 T^{4} + 39159445105048 T^{5} + 697452387105656791 T^{6} + 10919989262161693260 T^{7} + \)\(20\!\cdots\!23\)\( T^{8} - \)\(16\!\cdots\!48\)\( T^{9} + \)\(29\!\cdots\!99\)\( T^{10} \))(\( 1 - 28 T + 1714017 T^{2} + 44922060 T^{3} + 1414598818969 T^{4} + 39159445105048 T^{5} + 697452387105656791 T^{6} + 10919989262161693260 T^{7} + \)\(20\!\cdots\!23\)\( T^{8} - \)\(16\!\cdots\!48\)\( T^{9} + \)\(29\!\cdots\!99\)\( T^{10} \))(\( 1 - 200 T + 1945761 T^{2} - 455470252 T^{3} + 1672035868441 T^{4} - 350744717609740 T^{5} + 824378892540282199 T^{6} - \)\(11\!\cdots\!92\)\( T^{7} + \)\(23\!\cdots\!59\)\( T^{8} - \)\(11\!\cdots\!00\)\( T^{9} + \)\(29\!\cdots\!99\)\( T^{10} \))(\( 1 - 200 T + 1945761 T^{2} - 455470252 T^{3} + 1672035868441 T^{4} - 350744717609740 T^{5} + 824378892540282199 T^{6} - \)\(11\!\cdots\!92\)\( T^{7} + \)\(23\!\cdots\!59\)\( T^{8} - \)\(11\!\cdots\!00\)\( T^{9} + \)\(29\!\cdots\!99\)\( T^{10} \))(\( 1 + 460 T + 1747876 T^{2} + 762413644 T^{3} + 1821838586692 T^{4} + 768642303676252 T^{5} + 1358838145906554844 T^{6} + \)\(51\!\cdots\!60\)\( T^{7} + \)\(75\!\cdots\!38\)\( T^{8} + \)\(25\!\cdots\!40\)\( T^{9} + \)\(33\!\cdots\!24\)\( T^{10} + \)\(92\!\cdots\!88\)\( T^{11} + \)\(10\!\cdots\!72\)\( T^{12} + \)\(22\!\cdots\!56\)\( T^{13} + \)\(25\!\cdots\!36\)\( T^{14} + \)\(32\!\cdots\!40\)\( T^{15} + \)\(34\!\cdots\!81\)\( T^{16} \))(\( 1 + 460 T + 1747876 T^{2} + 762413644 T^{3} + 1821838586692 T^{4} + 768642303676252 T^{5} + 1358838145906554844 T^{6} + \)\(51\!\cdots\!60\)\( T^{7} + \)\(75\!\cdots\!38\)\( T^{8} + \)\(25\!\cdots\!40\)\( T^{9} + \)\(33\!\cdots\!24\)\( T^{10} + \)\(92\!\cdots\!88\)\( T^{11} + \)\(10\!\cdots\!72\)\( T^{12} + \)\(22\!\cdots\!56\)\( T^{13} + \)\(25\!\cdots\!36\)\( T^{14} + \)\(32\!\cdots\!40\)\( T^{15} + \)\(34\!\cdots\!81\)\( T^{16} \))
$83$ (\( 1 - 324 T + 571787 T^{2} \))(\( 1 + 324 T + 571787 T^{2} \))(\( 1 + 156 T + 571787 T^{2} \))(\( 1 - 384 T + 571787 T^{2} \))(\( 1 + 1212 T + 571787 T^{2} \))(\( 1 + 384 T + 571787 T^{2} \))(\( 1 + 432 T + 571787 T^{2} \))(\( 1 - 432 T + 571787 T^{2} \))(\( 1 + 156 T + 571787 T^{2} \))(\( 1 + 436 T + 571787 T^{2} \))(\( 1 + 1136 T + 1169990 T^{2} + 649550032 T^{3} + 326940373369 T^{4} \))(\( 1 - 968 T + 1357022 T^{2} - 553489816 T^{3} + 326940373369 T^{4} \))(\( 1 + 608 T + 1200710 T^{2} + 347646496 T^{3} + 326940373369 T^{4} \))(\( 1 + 968 T + 1357022 T^{2} + 553489816 T^{3} + 326940373369 T^{4} \))(\( 1 - 584 T + 1172390 T^{2} - 333923608 T^{3} + 326940373369 T^{4} \))(\( 1 + 928 T + 600710 T^{2} + 530618336 T^{3} + 326940373369 T^{4} \))(\( 1 - 680 T + 744870 T^{2} - 388815160 T^{3} + 326940373369 T^{4} \))(\( 1 + 508 T + 1655669 T^{2} + 550491384 T^{3} + 946690010503 T^{4} + 166085709671452 T^{5} + 186940255267540403 T^{6} \))(\( 1 - 508 T + 1655669 T^{2} - 550491384 T^{3} + 946690010503 T^{4} - 166085709671452 T^{5} + 186940255267540403 T^{6} \))(\( 1 - 1020 T + 1395008 T^{2} - 625261788 T^{3} + 739842275502 T^{4} - 357516561975156 T^{5} + 456084436372741952 T^{6} - \)\(19\!\cdots\!60\)\( T^{7} + \)\(10\!\cdots\!61\)\( T^{8} \))(\( 1 + 1020 T + 1395008 T^{2} + 625261788 T^{3} + 739842275502 T^{4} + 357516561975156 T^{5} + 456084436372741952 T^{6} + \)\(19\!\cdots\!60\)\( T^{7} + \)\(10\!\cdots\!61\)\( T^{8} \))(\( 1 + 1556 T + 1484188 T^{2} + 714791892 T^{3} + 375068565110 T^{4} + 408708711551004 T^{5} + 485240978869789372 T^{6} + \)\(29\!\cdots\!68\)\( T^{7} + \)\(10\!\cdots\!61\)\( T^{8} \))(\( 1 - 1556 T + 1484188 T^{2} - 714791892 T^{3} + 375068565110 T^{4} - 408708711551004 T^{5} + 485240978869789372 T^{6} - \)\(29\!\cdots\!68\)\( T^{7} + \)\(10\!\cdots\!61\)\( T^{8} \))(\( 1 - 840 T + 1394751 T^{2} - 1097470000 T^{3} + 1235101554942 T^{4} - 765253616219632 T^{5} + 706215012795621354 T^{6} - \)\(35\!\cdots\!00\)\( T^{7} + \)\(26\!\cdots\!53\)\( T^{8} - \)\(89\!\cdots\!40\)\( T^{9} + \)\(61\!\cdots\!07\)\( T^{10} \))(\( 1 + 840 T + 1394751 T^{2} + 1097470000 T^{3} + 1235101554942 T^{4} + 765253616219632 T^{5} + 706215012795621354 T^{6} + \)\(35\!\cdots\!00\)\( T^{7} + \)\(26\!\cdots\!53\)\( T^{8} + \)\(89\!\cdots\!40\)\( T^{9} + \)\(61\!\cdots\!07\)\( T^{10} \))(\( 1 - 332 T + 1330763 T^{2} - 251179960 T^{3} + 1196075575498 T^{4} - 287374399354632 T^{5} + 683900465087274926 T^{6} - 82120869905210485240 T^{7} + \)\(24\!\cdots\!89\)\( T^{8} - \)\(35\!\cdots\!52\)\( T^{9} + \)\(61\!\cdots\!07\)\( T^{10} \))(\( 1 + 332 T + 1330763 T^{2} + 251179960 T^{3} + 1196075575498 T^{4} + 287374399354632 T^{5} + 683900465087274926 T^{6} + 82120869905210485240 T^{7} + \)\(24\!\cdots\!89\)\( T^{8} + \)\(35\!\cdots\!52\)\( T^{9} + \)\(61\!\cdots\!07\)\( T^{10} \))(\( 1 + 700 T + 2996052 T^{2} + 1021731532 T^{3} + 3345834351236 T^{4} - 162544207477108 T^{5} + 1885944061820114892 T^{6} - \)\(10\!\cdots\!00\)\( T^{7} + \)\(87\!\cdots\!62\)\( T^{8} - \)\(58\!\cdots\!00\)\( T^{9} + \)\(61\!\cdots\!48\)\( T^{10} - \)\(30\!\cdots\!24\)\( T^{11} + \)\(35\!\cdots\!96\)\( T^{12} + \)\(62\!\cdots\!24\)\( T^{13} + \)\(10\!\cdots\!68\)\( T^{14} + \)\(13\!\cdots\!00\)\( T^{15} + \)\(11\!\cdots\!21\)\( T^{16} \))(\( 1 - 700 T + 2996052 T^{2} - 1021731532 T^{3} + 3345834351236 T^{4} + 162544207477108 T^{5} + 1885944061820114892 T^{6} + \)\(10\!\cdots\!00\)\( T^{7} + \)\(87\!\cdots\!62\)\( T^{8} + \)\(58\!\cdots\!00\)\( T^{9} + \)\(61\!\cdots\!48\)\( T^{10} + \)\(30\!\cdots\!24\)\( T^{11} + \)\(35\!\cdots\!96\)\( T^{12} - \)\(62\!\cdots\!24\)\( T^{13} + \)\(10\!\cdots\!68\)\( T^{14} - \)\(13\!\cdots\!00\)\( T^{15} + \)\(11\!\cdots\!21\)\( T^{16} \))
$89$ (\( 1 - 1194 T + 704969 T^{2} \))(\( 1 + 1194 T + 704969 T^{2} \))(\( 1 - 1038 T + 704969 T^{2} \))(\( 1 + 246 T + 704969 T^{2} \))(\( 1 + 330 T + 704969 T^{2} \))(\( 1 - 246 T + 704969 T^{2} \))(\( 1 + 234 T + 704969 T^{2} \))(\( 1 - 234 T + 704969 T^{2} \))(\( 1 + 1026 T + 704969 T^{2} \))(\( 1 - 1038 T + 704969 T^{2} \))(\( 1 + 36 T - 842170 T^{2} + 25378884 T^{3} + 496981290961 T^{4} \))(\( 1 - 204 T - 767890 T^{2} - 143813676 T^{3} + 496981290961 T^{4} \))(\( 1 - 1332 T + 1790774 T^{2} - 939018708 T^{3} + 496981290961 T^{4} \))(\( 1 + 204 T - 767890 T^{2} + 143813676 T^{3} + 496981290961 T^{4} \))(\( 1 - 1404 T + 1802390 T^{2} - 989776476 T^{3} + 496981290961 T^{4} \))(\( 1 + 588 T + 1495334 T^{2} + 414521772 T^{3} + 496981290961 T^{4} \))(\( 1 + 796 T + 411158 T^{2} + 561155324 T^{3} + 496981290961 T^{4} \))(\( 1 - 42 T + 566539 T^{2} + 649223388 T^{3} + 399392432291 T^{4} - 20873214220362 T^{5} + 350356403707485209 T^{6} \))(\( 1 + 42 T + 566539 T^{2} - 649223388 T^{3} + 399392432291 T^{4} + 20873214220362 T^{5} + 350356403707485209 T^{6} \))(\( 1 + 1192 T + 2268812 T^{2} + 2291741848 T^{3} + 2195524597702 T^{4} + 1615606958842712 T^{5} + 1127557116707808332 T^{6} + \)\(41\!\cdots\!28\)\( T^{7} + \)\(24\!\cdots\!21\)\( T^{8} \))(\( 1 - 1192 T + 2268812 T^{2} - 2291741848 T^{3} + 2195524597702 T^{4} - 1615606958842712 T^{5} + 1127557116707808332 T^{6} - \)\(41\!\cdots\!28\)\( T^{7} + \)\(24\!\cdots\!21\)\( T^{8} \))(\( 1 - 600 T + 1802556 T^{2} - 1014571176 T^{3} + 1804617205414 T^{4} - 715241227373544 T^{5} + 895836607909496316 T^{6} - \)\(21\!\cdots\!00\)\( T^{7} + \)\(24\!\cdots\!21\)\( T^{8} \))(\( 1 + 600 T + 1802556 T^{2} + 1014571176 T^{3} + 1804617205414 T^{4} + 715241227373544 T^{5} + 895836607909496316 T^{6} + \)\(21\!\cdots\!00\)\( T^{7} + \)\(24\!\cdots\!21\)\( T^{8} \))(\( 1 - 2978 T + 6676869 T^{2} - 9763080024 T^{3} + 11814055760174 T^{4} - 10792076634238148 T^{5} + 8328543075194104606 T^{6} - \)\(48\!\cdots\!64\)\( T^{7} + \)\(23\!\cdots\!21\)\( T^{8} - \)\(73\!\cdots\!38\)\( T^{9} + \)\(17\!\cdots\!49\)\( T^{10} \))(\( 1 + 2978 T + 6676869 T^{2} + 9763080024 T^{3} + 11814055760174 T^{4} + 10792076634238148 T^{5} + 8328543075194104606 T^{6} + \)\(48\!\cdots\!64\)\( T^{7} + \)\(23\!\cdots\!21\)\( T^{8} + \)\(73\!\cdots\!38\)\( T^{9} + \)\(17\!\cdots\!49\)\( T^{10} \))(\( 1 + 894 T + 2300489 T^{2} + 1630210296 T^{3} + 2617265406586 T^{4} + 1418308431104796 T^{5} + 1845090976415525834 T^{6} + \)\(81\!\cdots\!56\)\( T^{7} + \)\(80\!\cdots\!01\)\( T^{8} + \)\(22\!\cdots\!74\)\( T^{9} + \)\(17\!\cdots\!49\)\( T^{10} \))(\( 1 - 894 T + 2300489 T^{2} - 1630210296 T^{3} + 2617265406586 T^{4} - 1418308431104796 T^{5} + 1845090976415525834 T^{6} - \)\(81\!\cdots\!56\)\( T^{7} + \)\(80\!\cdots\!01\)\( T^{8} - \)\(22\!\cdots\!74\)\( T^{9} + \)\(17\!\cdots\!49\)\( T^{10} \))(\( 1 + 3503672 T^{2} + 205045376 T^{3} + 5595436600668 T^{4} + 628434573703296 T^{5} + 5665035639598399496 T^{6} + \)\(82\!\cdots\!60\)\( T^{7} + \)\(43\!\cdots\!74\)\( T^{8} + \)\(58\!\cdots\!40\)\( T^{9} + \)\(28\!\cdots\!56\)\( T^{10} + \)\(22\!\cdots\!64\)\( T^{11} + \)\(13\!\cdots\!28\)\( T^{12} + \)\(35\!\cdots\!24\)\( T^{13} + \)\(43\!\cdots\!32\)\( T^{14} + \)\(61\!\cdots\!41\)\( T^{16} \))(\( 1 + 3503672 T^{2} - 205045376 T^{3} + 5595436600668 T^{4} - 628434573703296 T^{5} + 5665035639598399496 T^{6} - \)\(82\!\cdots\!60\)\( T^{7} + \)\(43\!\cdots\!74\)\( T^{8} - \)\(58\!\cdots\!40\)\( T^{9} + \)\(28\!\cdots\!56\)\( T^{10} - \)\(22\!\cdots\!64\)\( T^{11} + \)\(13\!\cdots\!28\)\( T^{12} - \)\(35\!\cdots\!24\)\( T^{13} + \)\(43\!\cdots\!32\)\( T^{14} + \)\(61\!\cdots\!41\)\( T^{16} \))
$97$ (\( 1 + 1728 T + 912673 T^{2} \))(\( 1 - 1728 T + 912673 T^{2} \))(\( 1 + 1208 T + 912673 T^{2} \))(\( 1 - 1122 T + 912673 T^{2} \))(\( 1 + 866 T + 912673 T^{2} \))(\( 1 + 1122 T + 912673 T^{2} \))(\( 1 - 1352 T + 912673 T^{2} \))(\( 1 + 1352 T + 912673 T^{2} \))(\( 1 - 286 T + 912673 T^{2} \))(\( 1 - 702 T + 912673 T^{2} \))(\( 1 - 498 T + 1796754 T^{2} - 454511154 T^{3} + 832972004929 T^{4} \))(\( 1 - 1692 T + 1457670 T^{2} - 1544242716 T^{3} + 832972004929 T^{4} \))(\( 1 - 2448 T + 3286542 T^{2} - 2234223504 T^{3} + 832972004929 T^{4} \))(\( 1 + 1692 T + 1457670 T^{2} + 1544242716 T^{3} + 832972004929 T^{4} \))(\( 1 - 1188 T + 2161254 T^{2} - 1084255524 T^{3} + 832972004929 T^{4} \))(\( 1 + 522 T + 291282 T^{2} + 476415306 T^{3} + 832972004929 T^{4} \))(\( 1 - 670 T + 1145410 T^{2} - 611490910 T^{3} + 832972004929 T^{4} \))(\( 1 + 1020 T + 828679 T^{2} - 17707848 T^{3} + 756312948967 T^{4} + 849631445027580 T^{5} + 760231058654565217 T^{6} \))(\( 1 - 1020 T + 828679 T^{2} + 17707848 T^{3} + 756312948967 T^{4} - 849631445027580 T^{5} + 760231058654565217 T^{6} \))(\( 1 + 588 T + 3165904 T^{2} + 1441030788 T^{3} + 4185150077790 T^{4} + 1315189892376324 T^{5} + 2637109402292740816 T^{6} + \)\(44\!\cdots\!96\)\( T^{7} + \)\(69\!\cdots\!41\)\( T^{8} \))(\( 1 - 588 T + 3165904 T^{2} - 1441030788 T^{3} + 4185150077790 T^{4} - 1315189892376324 T^{5} + 2637109402292740816 T^{6} - \)\(44\!\cdots\!96\)\( T^{7} + \)\(69\!\cdots\!41\)\( T^{8} \))(\( 1 + 238 T + 1341536 T^{2} + 809130498 T^{3} + 1674460310750 T^{4} + 738471559001154 T^{5} + 1117461931604430944 T^{6} + \)\(18\!\cdots\!46\)\( T^{7} + \)\(69\!\cdots\!41\)\( T^{8} \))(\( 1 - 238 T + 1341536 T^{2} - 809130498 T^{3} + 1674460310750 T^{4} - 738471559001154 T^{5} + 1117461931604430944 T^{6} - \)\(18\!\cdots\!46\)\( T^{7} + \)\(69\!\cdots\!41\)\( T^{8} \))(\( 1 - 2168 T + 2916885 T^{2} - 2446774560 T^{3} + 2052444429082 T^{4} - 1555642076834128 T^{5} + 1873210614423556186 T^{6} - \)\(20\!\cdots\!40\)\( T^{7} + \)\(22\!\cdots\!45\)\( T^{8} - \)\(15\!\cdots\!88\)\( T^{9} + \)\(63\!\cdots\!93\)\( T^{10} \))(\( 1 + 2168 T + 2916885 T^{2} + 2446774560 T^{3} + 2052444429082 T^{4} + 1555642076834128 T^{5} + 1873210614423556186 T^{6} + \)\(20\!\cdots\!40\)\( T^{7} + \)\(22\!\cdots\!45\)\( T^{8} + \)\(15\!\cdots\!88\)\( T^{9} + \)\(63\!\cdots\!93\)\( T^{10} \))(\( 1 - 576 T + 2417013 T^{2} - 1510894720 T^{3} + 3259586132218 T^{4} - 2005403804499072 T^{5} + 2974936254049798714 T^{6} - \)\(12\!\cdots\!80\)\( T^{7} + \)\(18\!\cdots\!21\)\( T^{8} - \)\(39\!\cdots\!16\)\( T^{9} + \)\(63\!\cdots\!93\)\( T^{10} \))(\( 1 + 576 T + 2417013 T^{2} + 1510894720 T^{3} + 3259586132218 T^{4} + 2005403804499072 T^{5} + 2974936254049798714 T^{6} + \)\(12\!\cdots\!80\)\( T^{7} + \)\(18\!\cdots\!21\)\( T^{8} + \)\(39\!\cdots\!16\)\( T^{9} + \)\(63\!\cdots\!93\)\( T^{10} \))(\( 1 - 2052 T + 5422028 T^{2} - 7002145820 T^{3} + 9892209696420 T^{4} - 8122604613650452 T^{5} + 7933780793513813428 T^{6} - \)\(40\!\cdots\!28\)\( T^{7} + \)\(48\!\cdots\!50\)\( T^{8} - \)\(36\!\cdots\!44\)\( T^{9} + \)\(66\!\cdots\!12\)\( T^{10} - \)\(61\!\cdots\!84\)\( T^{11} + \)\(68\!\cdots\!20\)\( T^{12} - \)\(44\!\cdots\!60\)\( T^{13} + \)\(31\!\cdots\!92\)\( T^{14} - \)\(10\!\cdots\!44\)\( T^{15} + \)\(48\!\cdots\!81\)\( T^{16} \))(\( 1 + 2052 T + 5422028 T^{2} + 7002145820 T^{3} + 9892209696420 T^{4} + 8122604613650452 T^{5} + 7933780793513813428 T^{6} + \)\(40\!\cdots\!28\)\( T^{7} + \)\(48\!\cdots\!50\)\( T^{8} + \)\(36\!\cdots\!44\)\( T^{9} + \)\(66\!\cdots\!12\)\( T^{10} + \)\(61\!\cdots\!84\)\( T^{11} + \)\(68\!\cdots\!20\)\( T^{12} + \)\(44\!\cdots\!60\)\( T^{13} + \)\(31\!\cdots\!92\)\( T^{14} + \)\(10\!\cdots\!44\)\( T^{15} + \)\(48\!\cdots\!81\)\( T^{16} \))
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