# Properties

 Label 8034.2 Level 8034 Weight 2 Dimension 440145 Nonzero newspaces 60 Sturm bound 7.12858e+06

## Defining parameters

 Level: $$N$$ = $$8034\( 8034 = 2 \cdot 3 \cdot 13 \cdot 103$$ \) Weight: $$k$$ = $$2$$ Nonzero newspaces: $$60$$ Sturm bound: $$7128576$$

## Dimensions

The following table gives the dimensions of various subspaces of $$M_{2}(\Gamma_1(8034))$$.

Total New Old
Modular forms 1791936 440145 1351791
Cusp forms 1772353 440145 1332208
Eisenstein series 19583 0 19583

## Decomposition of $$S_{2}^{\mathrm{new}}(\Gamma_1(8034))$$

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
8034.2.a $$\chi_{8034}(1, \cdot)$$ 8034.2.a.a 1 1
8034.2.a.b 1
8034.2.a.c 1
8034.2.a.d 1
8034.2.a.e 1
8034.2.a.f 1
8034.2.a.g 1
8034.2.a.h 1
8034.2.a.i 1
8034.2.a.j 1
8034.2.a.k 1
8034.2.a.l 2
8034.2.a.m 2
8034.2.a.n 4
8034.2.a.o 7
8034.2.a.p 8
8034.2.a.q 8
8034.2.a.r 9
8034.2.a.s 10
8034.2.a.t 11
8034.2.a.u 11
8034.2.a.v 11
8034.2.a.w 12
8034.2.a.x 13
8034.2.a.y 13
8034.2.a.z 14
8034.2.a.ba 14
8034.2.a.bb 14
8034.2.a.bc 15
8034.2.a.bd 16
8034.2.b $$\chi_{8034}(8033, \cdot)$$ n/a 488 1
8034.2.c $$\chi_{8034}(5563, \cdot)$$ n/a 236 1
8034.2.h $$\chi_{8034}(2471, \cdot)$$ n/a 416 1
8034.2.i $$\chi_{8034}(3043, \cdot)$$ n/a 416 2
8034.2.j $$\chi_{8034}(4897, \cdot)$$ n/a 484 2
8034.2.k $$\chi_{8034}(5515, \cdot)$$ n/a 484 2
8034.2.l $$\chi_{8034}(1855, \cdot)$$ n/a 480 2
8034.2.m $$\chi_{8034}(2059, \cdot)$$ n/a 480 2
8034.2.o $$\chi_{8034}(2267, \cdot)$$ n/a 952 2
8034.2.s $$\chi_{8034}(3091, \cdot)$$ n/a 472 2
8034.2.t $$\chi_{8034}(5561, \cdot)$$ n/a 968 2
8034.2.w $$\chi_{8034}(5825, \cdot)$$ n/a 832 2
8034.2.x $$\chi_{8034}(263, \cdot)$$ n/a 972 2
8034.2.bc $$\chi_{8034}(1901, \cdot)$$ n/a 972 2
8034.2.bd $$\chi_{8034}(1499, \cdot)$$ n/a 972 2
8034.2.be $$\chi_{8034}(355, \cdot)$$ n/a 484 2
8034.2.bj $$\chi_{8034}(6751, \cdot)$$ n/a 484 2
8034.2.bk $$\chi_{8034}(881, \cdot)$$ n/a 972 2
8034.2.bl $$\chi_{8034}(571, \cdot)$$ n/a 488 2
8034.2.bm $$\chi_{8034}(3353, \cdot)$$ n/a 968 2
8034.2.bp $$\chi_{8034}(4325, \cdot)$$ n/a 968 2
8034.2.bt $$\chi_{8034}(3343, \cdot)$$ n/a 968 4
8034.2.bv $$\chi_{8034}(1649, \cdot)$$ n/a 1904 4
8034.2.bw $$\chi_{8034}(3239, \cdot)$$ n/a 1944 4
8034.2.bz $$\chi_{8034}(983, \cdot)$$ n/a 1936 4
8034.2.cb $$\chi_{8034}(1087, \cdot)$$ n/a 976 4
8034.2.cd $$\chi_{8034}(1441, \cdot)$$ n/a 976 4
8034.2.ce $$\chi_{8034}(253, \cdot)$$ n/a 968 4
8034.2.ch $$\chi_{8034}(149, \cdot)$$ n/a 1944 4
8034.2.ci $$\chi_{8034}(79, \cdot)$$ n/a 3328 16
8034.2.cj $$\chi_{8034}(209, \cdot)$$ n/a 6656 16
8034.2.co $$\chi_{8034}(493, \cdot)$$ n/a 3840 16
8034.2.cp $$\chi_{8034}(233, \cdot)$$ n/a 7808 16
8034.2.cq $$\chi_{8034}(61, \cdot)$$ n/a 7808 32
8034.2.cr $$\chi_{8034}(367, \cdot)$$ n/a 7744 32
8034.2.cs $$\chi_{8034}(55, \cdot)$$ n/a 7744 32
8034.2.ct $$\chi_{8034}(235, \cdot)$$ n/a 6656 32
8034.2.cv $$\chi_{8034}(203, \cdot)$$ n/a 15616 32
8034.2.cx $$\chi_{8034}(31, \cdot)$$ n/a 7680 32
8034.2.da $$\chi_{8034}(113, \cdot)$$ n/a 15488 32
8034.2.dd $$\chi_{8034}(77, \cdot)$$ n/a 15488 32
8034.2.de $$\chi_{8034}(25, \cdot)$$ n/a 7808 32
8034.2.df $$\chi_{8034}(101, \cdot)$$ n/a 15552 32
8034.2.dg $$\chi_{8034}(49, \cdot)$$ n/a 7744 32
8034.2.dl $$\chi_{8034}(121, \cdot)$$ n/a 7744 32
8034.2.dm $$\chi_{8034}(257, \cdot)$$ n/a 15552 32
8034.2.dn $$\chi_{8034}(35, \cdot)$$ n/a 15552 32
8034.2.ds $$\chi_{8034}(191, \cdot)$$ n/a 15552 32
8034.2.dt $$\chi_{8034}(53, \cdot)$$ n/a 13312 32
8034.2.dw $$\chi_{8034}(95, \cdot)$$ n/a 15488 32
8034.2.dx $$\chi_{8034}(751, \cdot)$$ n/a 7808 32
8034.2.ea $$\chi_{8034}(59, \cdot)$$ n/a 31104 64
8034.2.ed $$\chi_{8034}(397, \cdot)$$ n/a 15488 64
8034.2.ee $$\chi_{8034}(37, \cdot)$$ n/a 15616 64
8034.2.eg $$\chi_{8034}(109, \cdot)$$ n/a 15616 64
8034.2.ei $$\chi_{8034}(83, \cdot)$$ n/a 30976 64
8034.2.el $$\chi_{8034}(41, \cdot)$$ n/a 31104 64
8034.2.em $$\chi_{8034}(137, \cdot)$$ n/a 30976 64
8034.2.eo $$\chi_{8034}(67, \cdot)$$ n/a 15488 64

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

## Decomposition of $$S_{2}^{\mathrm{old}}(\Gamma_1(8034))$$ into lower level spaces

$$S_{2}^{\mathrm{old}}(\Gamma_1(8034)) \cong$$ $$S_{2}^{\mathrm{new}}(\Gamma_1(13))$$$$^{\oplus 8}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(26))$$$$^{\oplus 4}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(39))$$$$^{\oplus 4}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(78))$$$$^{\oplus 2}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(103))$$$$^{\oplus 8}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(206))$$$$^{\oplus 4}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(309))$$$$^{\oplus 4}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(618))$$$$^{\oplus 2}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(1339))$$$$^{\oplus 4}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(2678))$$$$^{\oplus 2}$$$$\oplus$$$$S_{2}^{\mathrm{new}}(\Gamma_1(4017))$$$$^{\oplus 2}$$

## Hecke characteristic polynomials

$p$ $F_p(T)$
$2$ ($$1 + T$$)($$1 + T$$)($$1 + T$$)($$1 - T$$)($$1 - T$$)($$1 - T$$)($$1 - T$$)($$1 - T$$)($$1 - T$$)($$1 - T$$)($$1 - T$$)($$( 1 + T )^{2}$$)($$( 1 + T )^{2}$$)($$( 1 - T )^{4}$$)($$( 1 + T )^{7}$$)($$( 1 - T )^{8}$$)($$( 1 - T )^{8}$$)($$( 1 - T )^{9}$$)($$( 1 + T )^{10}$$)($$( 1 + T )^{11}$$)($$( 1 - T )^{11}$$)($$( 1 - T )^{11}$$)($$( 1 + T )^{12}$$)($$( 1 + T )^{13}$$)($$( 1 - T )^{13}$$)($$( 1 + T )^{14}$$)($$( 1 + T )^{14}$$)($$( 1 + T )^{14}$$)($$( 1 - T )^{15}$$)($$( 1 - T )^{16}$$)
$3$ ($$1 + T$$)($$1 + T$$)($$1 - T$$)($$1 + T$$)($$1 + T$$)($$1 + T$$)($$1 - T$$)($$1 - T$$)($$1 - T$$)($$1 - T$$)($$1 - T$$)($$( 1 + T )^{2}$$)($$( 1 + T )^{2}$$)($$( 1 - T )^{4}$$)($$( 1 + T )^{7}$$)($$( 1 - T )^{8}$$)($$( 1 - T )^{8}$$)($$( 1 + T )^{9}$$)($$( 1 + T )^{10}$$)($$( 1 - T )^{11}$$)($$( 1 + T )^{11}$$)($$( 1 - T )^{11}$$)($$( 1 - T )^{12}$$)($$( 1 - T )^{13}$$)($$( 1 + T )^{13}$$)($$( 1 + T )^{14}$$)($$( 1 + T )^{14}$$)($$( 1 - T )^{14}$$)($$( 1 + T )^{15}$$)($$( 1 - T )^{16}$$)
$5$ ($$1 + 4 T + 5 T^{2}$$)($$1 + 5 T^{2}$$)($$1 - T + 5 T^{2}$$)($$1 + 2 T + 5 T^{2}$$)($$1 + 2 T + 5 T^{2}$$)($$1 - 4 T + 5 T^{2}$$)($$1 + 2 T + 5 T^{2}$$)($$1 + 5 T^{2}$$)($$1 + 5 T^{2}$$)($$1 - 2 T + 5 T^{2}$$)($$1 - 4 T + 5 T^{2}$$)($$( 1 + 2 T + 5 T^{2} )^{2}$$)($$( 1 + 5 T^{2} )^{2}$$)($$1 - 2 T + 9 T^{2} - 7 T^{3} + 44 T^{4} - 35 T^{5} + 225 T^{6} - 250 T^{7} + 625 T^{8}$$)($$1 - 2 T + 12 T^{2} - 19 T^{3} + 123 T^{4} - 209 T^{5} + 803 T^{6} - 983 T^{7} + 4015 T^{8} - 5225 T^{9} + 15375 T^{10} - 11875 T^{11} + 37500 T^{12} - 31250 T^{13} + 78125 T^{14}$$)($$1 + 8 T + 53 T^{2} + 233 T^{3} + 901 T^{4} + 2788 T^{5} + 7970 T^{6} + 19668 T^{7} + 46648 T^{8} + 98340 T^{9} + 199250 T^{10} + 348500 T^{11} + 563125 T^{12} + 728125 T^{13} + 828125 T^{14} + 625000 T^{15} + 390625 T^{16}$$)($$1 + 6 T + 43 T^{2} + 179 T^{3} + 753 T^{4} + 2414 T^{5} + 7440 T^{6} + 19070 T^{7} + 46230 T^{8} + 95350 T^{9} + 186000 T^{10} + 301750 T^{11} + 470625 T^{12} + 559375 T^{13} + 671875 T^{14} + 468750 T^{15} + 390625 T^{16}$$)($$1 + 4 T + 36 T^{2} + 115 T^{3} + 592 T^{4} + 1573 T^{5} + 5987 T^{6} + 13498 T^{7} + 41626 T^{8} + 80072 T^{9} + 208130 T^{10} + 337450 T^{11} + 748375 T^{12} + 983125 T^{13} + 1850000 T^{14} + 1796875 T^{15} + 2812500 T^{16} + 1562500 T^{17} + 1953125 T^{18}$$)($$1 - 6 T + 33 T^{2} - 119 T^{3} + 396 T^{4} - 1060 T^{5} + 2643 T^{6} - 5679 T^{7} + 11743 T^{8} - 22948 T^{9} + 49536 T^{10} - 114740 T^{11} + 293575 T^{12} - 709875 T^{13} + 1651875 T^{14} - 3312500 T^{15} + 6187500 T^{16} - 9296875 T^{17} + 12890625 T^{18} - 11718750 T^{19} + 9765625 T^{20}$$)($$1 - 4 T + 31 T^{2} - 112 T^{3} + 515 T^{4} - 1617 T^{5} + 5748 T^{6} - 15771 T^{7} + 47197 T^{8} - 114589 T^{9} + 298919 T^{10} - 646752 T^{11} + 1494595 T^{12} - 2864725 T^{13} + 5899625 T^{14} - 9856875 T^{15} + 17962500 T^{16} - 25265625 T^{17} + 40234375 T^{18} - 43750000 T^{19} + 60546875 T^{20} - 39062500 T^{21} + 48828125 T^{22}$$)($$1 + 2 T + 30 T^{2} + 67 T^{3} + 471 T^{4} + 1071 T^{5} + 5055 T^{6} + 11085 T^{7} + 40648 T^{8} + 83285 T^{9} + 255323 T^{10} + 475132 T^{11} + 1276615 T^{12} + 2082125 T^{13} + 5081000 T^{14} + 6928125 T^{15} + 15796875 T^{16} + 16734375 T^{17} + 36796875 T^{18} + 26171875 T^{19} + 58593750 T^{20} + 19531250 T^{21} + 48828125 T^{22}$$)($$1 - 5 T + 24 T^{2} - 82 T^{3} + 280 T^{4} - 833 T^{5} + 2489 T^{6} - 6708 T^{7} + 17785 T^{8} - 43104 T^{9} + 104049 T^{10} - 232064 T^{11} + 520245 T^{12} - 1077600 T^{13} + 2223125 T^{14} - 4192500 T^{15} + 7778125 T^{16} - 13015625 T^{17} + 21875000 T^{18} - 32031250 T^{19} + 46875000 T^{20} - 48828125 T^{21} + 48828125 T^{22}$$)($$1 + 4 T + 31 T^{2} + 93 T^{3} + 435 T^{4} + 1040 T^{5} + 3690 T^{6} + 6832 T^{7} + 20687 T^{8} + 27902 T^{9} + 85823 T^{10} + 82249 T^{11} + 361034 T^{12} + 411245 T^{13} + 2145575 T^{14} + 3487750 T^{15} + 12929375 T^{16} + 21350000 T^{17} + 57656250 T^{18} + 81250000 T^{19} + 169921875 T^{20} + 181640625 T^{21} + 302734375 T^{22} + 195312500 T^{23} + 244140625 T^{24}$$)($$1 - T + 25 T^{2} - 26 T^{3} + 354 T^{4} - 331 T^{5} + 3578 T^{6} - 3016 T^{7} + 28964 T^{8} - 22223 T^{9} + 196931 T^{10} - 141731 T^{11} + 1146515 T^{12} - 768828 T^{13} + 5732575 T^{14} - 3543275 T^{15} + 24616375 T^{16} - 13889375 T^{17} + 90512500 T^{18} - 47125000 T^{19} + 279531250 T^{20} - 129296875 T^{21} + 691406250 T^{22} - 253906250 T^{23} + 1220703125 T^{24} - 244140625 T^{25} + 1220703125 T^{26}$$)($$1 - 3 T + 25 T^{2} - 50 T^{3} + 246 T^{4} - 199 T^{5} + 1110 T^{6} + 1404 T^{7} + 3074 T^{8} + 14037 T^{9} + 33619 T^{10} + 17011 T^{11} + 364541 T^{12} - 151604 T^{13} + 1822705 T^{14} + 425275 T^{15} + 4202375 T^{16} + 8773125 T^{17} + 9606250 T^{18} + 21937500 T^{19} + 86718750 T^{20} - 77734375 T^{21} + 480468750 T^{22} - 488281250 T^{23} + 1220703125 T^{24} - 732421875 T^{25} + 1220703125 T^{26}$$)($$1 + 3 T + 34 T^{2} + 87 T^{3} + 549 T^{4} + 1149 T^{5} + 5396 T^{6} + 8301 T^{7} + 34076 T^{8} + 25703 T^{9} + 129765 T^{10} - 107288 T^{11} + 202568 T^{12} - 1634379 T^{13} - 162018 T^{14} - 8171895 T^{15} + 5064200 T^{16} - 13411000 T^{17} + 81103125 T^{18} + 80321875 T^{19} + 532437500 T^{20} + 648515625 T^{21} + 2107812500 T^{22} + 2244140625 T^{23} + 5361328125 T^{24} + 4248046875 T^{25} + 8300781250 T^{26} + 3662109375 T^{27} + 6103515625 T^{28}$$)($$1 + T + 26 T^{2} + 29 T^{3} + 357 T^{4} + 421 T^{5} + 3562 T^{6} + 4277 T^{7} + 28796 T^{8} + 35021 T^{9} + 197621 T^{10} + 241828 T^{11} + 1189074 T^{12} + 1418301 T^{13} + 6329698 T^{14} + 7091505 T^{15} + 29726850 T^{16} + 30228500 T^{17} + 123513125 T^{18} + 109440625 T^{19} + 449937500 T^{20} + 334140625 T^{21} + 1391406250 T^{22} + 822265625 T^{23} + 3486328125 T^{24} + 1416015625 T^{25} + 6347656250 T^{26} + 1220703125 T^{27} + 6103515625 T^{28}$$)($$1 + 6 T + 41 T^{2} + 183 T^{3} + 804 T^{4} + 2916 T^{5} + 10253 T^{6} + 32069 T^{7} + 97548 T^{8} + 272380 T^{9} + 743535 T^{10} + 1893519 T^{11} + 4723591 T^{12} + 11092331 T^{13} + 25527862 T^{14} + 55461655 T^{15} + 118089775 T^{16} + 236689875 T^{17} + 464709375 T^{18} + 851187500 T^{19} + 1524187500 T^{20} + 2505390625 T^{21} + 4005078125 T^{22} + 5695312500 T^{23} + 7851562500 T^{24} + 8935546875 T^{25} + 10009765625 T^{26} + 7324218750 T^{27} + 6103515625 T^{28}$$)($$1 + T + 27 T^{2} + 26 T^{3} + 377 T^{4} + 342 T^{5} + 3655 T^{6} + 3138 T^{7} + 28216 T^{8} + 22948 T^{9} + 187699 T^{10} + 141443 T^{11} + 1119809 T^{12} + 769025 T^{13} + 6093660 T^{14} + 3911802 T^{15} + 30468300 T^{16} + 19225625 T^{17} + 139976125 T^{18} + 88401875 T^{19} + 586559375 T^{20} + 358562500 T^{21} + 2204375000 T^{22} + 1225781250 T^{23} + 7138671875 T^{24} + 3339843750 T^{25} + 18408203125 T^{26} + 6347656250 T^{27} + 32958984375 T^{28} + 6103515625 T^{29} + 30517578125 T^{30}$$)($$1 - 5 T + 44 T^{2} - 179 T^{3} + 978 T^{4} - 3486 T^{5} + 14830 T^{6} - 47362 T^{7} + 170463 T^{8} - 494728 T^{9} + 1569001 T^{10} - 4172967 T^{11} + 11922100 T^{12} - 29207576 T^{13} + 76147049 T^{14} - 172205237 T^{15} + 412689308 T^{16} - 861026185 T^{17} + 1903676225 T^{18} - 3650947000 T^{19} + 7451312500 T^{20} - 13040521875 T^{21} + 24515640625 T^{22} - 38650625000 T^{23} + 66587109375 T^{24} - 92503906250 T^{25} + 144824218750 T^{26} - 170214843750 T^{27} + 238769531250 T^{28} - 218505859375 T^{29} + 268554687500 T^{30} - 152587890625 T^{31} + 152587890625 T^{32}$$)
$7$ ($$1 - T + 7 T^{2}$$)($$1 + 3 T + 7 T^{2}$$)($$1 - 3 T + 7 T^{2}$$)($$1 + 5 T + 7 T^{2}$$)($$1 - 4 T + 7 T^{2}$$)($$1 + 5 T + 7 T^{2}$$)($$1 + 4 T + 7 T^{2}$$)($$1 + T + 7 T^{2}$$)($$1 + 7 T^{2}$$)($$1 + 7 T^{2}$$)($$1 + T + 7 T^{2}$$)($$1 - 3 T + 12 T^{2} - 21 T^{3} + 49 T^{4}$$)($$( 1 - T + 7 T^{2} )^{2}$$)($$1 - 5 T + 17 T^{2} - 23 T^{3} + 53 T^{4} - 161 T^{5} + 833 T^{6} - 1715 T^{7} + 2401 T^{8}$$)($$1 + 9 T + 66 T^{2} + 327 T^{3} + 1446 T^{4} + 5155 T^{5} + 16867 T^{6} + 46481 T^{7} + 118069 T^{8} + 252595 T^{9} + 495978 T^{10} + 785127 T^{11} + 1109262 T^{12} + 1058841 T^{13} + 823543 T^{14}$$)($$1 + 6 T + 50 T^{2} + 200 T^{3} + 1003 T^{4} + 3112 T^{5} + 11930 T^{6} + 30677 T^{7} + 98025 T^{8} + 214739 T^{9} + 584570 T^{10} + 1067416 T^{11} + 2408203 T^{12} + 3361400 T^{13} + 5882450 T^{14} + 4941258 T^{15} + 5764801 T^{16}$$)($$1 + 3 T + 35 T^{2} + 82 T^{3} + 520 T^{4} + 980 T^{5} + 4627 T^{6} + 7598 T^{7} + 33038 T^{8} + 53186 T^{9} + 226723 T^{10} + 336140 T^{11} + 1248520 T^{12} + 1378174 T^{13} + 4117715 T^{14} + 2470629 T^{15} + 5764801 T^{16}$$)($$1 + 4 T + 41 T^{2} + 150 T^{3} + 825 T^{4} + 2836 T^{5} + 10829 T^{6} + 34281 T^{7} + 101917 T^{8} + 285898 T^{9} + 713419 T^{10} + 1679769 T^{11} + 3714347 T^{12} + 6809236 T^{13} + 13865775 T^{14} + 17647350 T^{15} + 33765263 T^{16} + 23059204 T^{17} + 40353607 T^{18}$$)($$1 + 9 T + 70 T^{2} + 405 T^{3} + 2082 T^{4} + 9145 T^{5} + 36534 T^{6} + 130532 T^{7} + 429553 T^{8} + 1283988 T^{9} + 3556048 T^{10} + 8987916 T^{11} + 21048097 T^{12} + 44772476 T^{13} + 87718134 T^{14} + 153700015 T^{15} + 244945218 T^{16} + 333534915 T^{17} + 403536070 T^{18} + 363182463 T^{19} + 282475249 T^{20}$$)($$1 - 4 T + 38 T^{2} - 135 T^{3} + 725 T^{4} - 2438 T^{5} + 9677 T^{6} - 31116 T^{7} + 101307 T^{8} - 305907 T^{9} + 862156 T^{10} - 2390533 T^{11} + 6035092 T^{12} - 14989443 T^{13} + 34748301 T^{14} - 74709516 T^{15} + 162641339 T^{16} - 286828262 T^{17} + 597068675 T^{18} - 778248135 T^{19} + 1533437066 T^{20} - 1129900996 T^{21} + 1977326743 T^{22}$$)($$1 + 2 T + 43 T^{2} + 82 T^{3} + 970 T^{4} + 1728 T^{5} + 14860 T^{6} + 24539 T^{7} + 169492 T^{8} + 256250 T^{9} + 1501676 T^{10} + 2041294 T^{11} + 10511732 T^{12} + 12556250 T^{13} + 58135756 T^{14} + 58918139 T^{15} + 249752020 T^{16} + 203297472 T^{17} + 798836710 T^{18} + 472713682 T^{19} + 1735205101 T^{20} + 564950498 T^{21} + 1977326743 T^{22}$$)($$1 - 4 T + 36 T^{2} - 100 T^{3} + 501 T^{4} - 882 T^{5} + 3205 T^{6} - 1949 T^{7} + 7917 T^{8} + 20049 T^{9} - 12995 T^{10} + 211660 T^{11} - 90965 T^{12} + 982401 T^{13} + 2715531 T^{14} - 4679549 T^{15} + 53866435 T^{16} - 103766418 T^{17} + 412595043 T^{18} - 576480100 T^{19} + 1452729852 T^{20} - 1129900996 T^{21} + 1977326743 T^{22}$$)($$1 + 37 T^{2} + 6 T^{3} + 705 T^{4} + 234 T^{5} + 9170 T^{6} + 4703 T^{7} + 91608 T^{8} + 62424 T^{9} + 762310 T^{10} + 591697 T^{11} + 5608434 T^{12} + 4141879 T^{13} + 37353190 T^{14} + 21411432 T^{15} + 219950808 T^{16} + 79043321 T^{17} + 1078841330 T^{18} + 192709062 T^{19} + 4064184705 T^{20} + 242121642 T^{21} + 10451584213 T^{22} + 13841287201 T^{24}$$)($$1 + T + 46 T^{2} + 40 T^{3} + 1119 T^{4} + 823 T^{5} + 18792 T^{6} + 11823 T^{7} + 241082 T^{8} + 132193 T^{9} + 2478482 T^{10} + 1206362 T^{11} + 20915377 T^{12} + 9199108 T^{13} + 146407639 T^{14} + 59111738 T^{15} + 850119326 T^{16} + 317395393 T^{17} + 4051865174 T^{18} + 1390964127 T^{19} + 15476020056 T^{20} + 4744431223 T^{21} + 45155686233 T^{22} + 11299009960 T^{23} + 90957030178 T^{24} + 13841287201 T^{25} + 96889010407 T^{26}$$)($$1 - 5 T + 66 T^{2} - 286 T^{3} + 2093 T^{4} - 7941 T^{5} + 42270 T^{6} - 142023 T^{7} + 610540 T^{8} - 1834001 T^{9} + 6718878 T^{10} - 18154644 T^{11} + 58451055 T^{12} - 142165308 T^{13} + 409157385 T^{14} - 889577556 T^{15} + 2304575154 T^{16} - 4403436401 T^{17} + 10261345780 T^{18} - 16708863927 T^{19} + 34811162610 T^{20} - 45778284741 T^{21} + 84460099451 T^{22} - 80787921214 T^{23} + 130503565038 T^{24} - 69206436005 T^{25} + 96889010407 T^{26}$$)($$1 - 4 T + 31 T^{2} - 129 T^{3} + 592 T^{4} - 2141 T^{5} + 7785 T^{6} - 24885 T^{7} + 77505 T^{8} - 216654 T^{9} + 616823 T^{10} - 1575650 T^{11} + 4236586 T^{12} - 10566813 T^{13} + 29009354 T^{14} - 73967691 T^{15} + 207592714 T^{16} - 540447950 T^{17} + 1480992023 T^{18} - 3641303778 T^{19} + 9118385745 T^{20} - 20493867555 T^{21} + 44878975785 T^{22} - 86397072587 T^{23} + 167225347408 T^{24} - 255075149847 T^{25} + 429079903231 T^{26} - 387556041628 T^{27} + 678223072849 T^{28}$$)($$1 - 5 T + 57 T^{2} - 239 T^{3} + 1611 T^{4} - 5855 T^{5} + 30121 T^{6} - 97176 T^{7} + 418908 T^{8} - 1219306 T^{9} + 4614344 T^{10} - 12255191 T^{11} + 41803831 T^{12} - 102002004 T^{13} + 318158398 T^{14} - 714014028 T^{15} + 2048387719 T^{16} - 4203530513 T^{17} + 11079039944 T^{18} - 20492875942 T^{19} + 49284107292 T^{20} - 80028614568 T^{21} + 173641570921 T^{22} - 236270368985 T^{23} + 455067626139 T^{24} - 472581091577 T^{25} + 788953370457 T^{26} - 484445052035 T^{27} + 678223072849 T^{28}$$)($$1 + 4 T + 45 T^{2} + 150 T^{3} + 970 T^{4} + 2730 T^{5} + 13363 T^{6} + 32257 T^{7} + 134875 T^{8} + 283916 T^{9} + 1104598 T^{10} + 2080278 T^{11} + 8060734 T^{12} + 14244643 T^{13} + 56608556 T^{14} + 99712501 T^{15} + 394975966 T^{16} + 713535354 T^{17} + 2652139798 T^{18} + 4771776212 T^{19} + 15867908875 T^{20} + 26565026551 T^{21} + 77035035763 T^{22} + 110165347110 T^{23} + 274000991530 T^{24} + 296599011450 T^{25} + 622857924045 T^{26} + 387556041628 T^{27} + 678223072849 T^{28}$$)($$1 - 5 T + 49 T^{2} - 215 T^{3} + 1236 T^{4} - 4820 T^{5} + 21339 T^{6} - 74814 T^{7} + 284031 T^{8} - 909247 T^{9} + 3106568 T^{10} - 9211198 T^{11} + 28913157 T^{12} - 80060177 T^{13} + 232747856 T^{14} - 602085894 T^{15} + 1629234992 T^{16} - 3922948673 T^{17} + 9917212851 T^{18} - 22116086398 T^{19} + 52212088376 T^{20} - 106972000303 T^{21} + 233911741833 T^{22} - 431287822014 T^{23} + 861105619773 T^{24} - 1361530700180 T^{25} + 2443975854348 T^{26} - 2975876748215 T^{27} + 4747561509943 T^{28} - 3391115364245 T^{29} + 4747561509943 T^{30}$$)($$1 - 4 T + 46 T^{2} - 143 T^{3} + 1004 T^{4} - 2510 T^{5} + 14304 T^{6} - 29403 T^{7} + 154340 T^{8} - 258336 T^{9} + 1366553 T^{10} - 1787711 T^{11} + 10480872 T^{12} - 10197411 T^{13} + 73931067 T^{14} - 55711752 T^{15} + 513067434 T^{16} - 389982264 T^{17} + 3622622283 T^{18} - 3497711973 T^{19} + 25164573672 T^{20} - 30046058777 T^{21} + 160773593897 T^{22} - 212750804448 T^{23} + 889739386340 T^{24} - 1186517106621 T^{25} + 4040525961696 T^{26} - 4963090124930 T^{27} + 13896652349804 T^{28} - 13855128488201 T^{29} + 31198261351054 T^{30} - 18990246039772 T^{31} + 33232930569601 T^{32}$$)
$11$ ($$1 + 3 T + 11 T^{2}$$)($$1 + 5 T + 11 T^{2}$$)($$1 - 2 T + 11 T^{2}$$)($$1 + 5 T + 11 T^{2}$$)($$1 - 4 T + 11 T^{2}$$)($$1 - T + 11 T^{2}$$)($$1 - 4 T + 11 T^{2}$$)($$1 - 3 T + 11 T^{2}$$)($$1 - 2 T + 11 T^{2}$$)($$1 + 11 T^{2}$$)($$1 + 3 T + 11 T^{2}$$)($$1 + T + 18 T^{2} + 11 T^{3} + 121 T^{4}$$)($$( 1 - 3 T + 11 T^{2} )^{2}$$)($$1 - 9 T + 54 T^{2} - 233 T^{3} + 874 T^{4} - 2563 T^{5} + 6534 T^{6} - 11979 T^{7} + 14641 T^{8}$$)($$1 + 50 T^{2} - 5 T^{3} + 1221 T^{4} - 112 T^{5} + 19364 T^{6} - 1257 T^{7} + 213004 T^{8} - 13552 T^{9} + 1625151 T^{10} - 73205 T^{11} + 8052550 T^{12} + 19487171 T^{14}$$)($$1 + 7 T + 61 T^{2} + 243 T^{3} + 1188 T^{4} + 3238 T^{5} + 13049 T^{6} + 30939 T^{7} + 134247 T^{8} + 340329 T^{9} + 1578929 T^{10} + 4309778 T^{11} + 17393508 T^{12} + 39135393 T^{13} + 108065221 T^{14} + 136410197 T^{15} + 214358881 T^{16}$$)($$1 + 15 T + 163 T^{2} + 1267 T^{3} + 8202 T^{4} + 43956 T^{5} + 204875 T^{6} + 823935 T^{7} + 2926889 T^{8} + 9063285 T^{9} + 24789875 T^{10} + 58505436 T^{11} + 120085482 T^{12} + 204051617 T^{13} + 288764443 T^{14} + 292307565 T^{15} + 214358881 T^{16}$$)($$1 + 5 T + 92 T^{2} + 380 T^{3} + 3797 T^{4} + 13159 T^{5} + 93013 T^{6} + 271467 T^{7} + 1497576 T^{8} + 3653008 T^{9} + 16473336 T^{10} + 32847507 T^{11} + 123800303 T^{12} + 192660919 T^{13} + 611510647 T^{14} + 673193180 T^{15} + 1792819732 T^{16} + 1071794405 T^{17} + 2357947691 T^{18}$$)($$1 + T + 48 T^{2} + 30 T^{3} + 1164 T^{4} + 702 T^{5} + 19764 T^{6} + 15996 T^{7} + 268350 T^{8} + 266020 T^{9} + 3140003 T^{10} + 2926220 T^{11} + 32470350 T^{12} + 21290676 T^{13} + 289364724 T^{14} + 113057802 T^{15} + 2062097004 T^{16} + 584615130 T^{17} + 10289226288 T^{18} + 2357947691 T^{19} + 25937424601 T^{20}$$)($$1 - 5 T + 68 T^{2} - 316 T^{3} + 2418 T^{4} - 9558 T^{5} + 55989 T^{6} - 191977 T^{7} + 941125 T^{8} - 2882035 T^{9} + 12549131 T^{10} - 34743170 T^{11} + 138040441 T^{12} - 348726235 T^{13} + 1252637375 T^{14} - 2810735257 T^{15} + 9017084439 T^{16} - 16932580038 T^{17} + 47119979478 T^{18} - 67737406396 T^{19} + 160340442988 T^{20} - 129687123005 T^{21} + 285311670611 T^{22}$$)($$1 + 10 T + 101 T^{2} + 685 T^{3} + 4503 T^{4} + 24247 T^{5} + 125440 T^{6} + 565963 T^{7} + 2453623 T^{8} + 9530464 T^{9} + 35599326 T^{10} + 120402496 T^{11} + 391592586 T^{12} + 1153186144 T^{13} + 3265772213 T^{14} + 8286264283 T^{15} + 20202237440 T^{16} + 42955039567 T^{17} + 87750731013 T^{18} + 146835833485 T^{19} + 238152716791 T^{20} + 259374246010 T^{21} + 285311670611 T^{22}$$)($$1 + 7 T + 67 T^{2} + 345 T^{3} + 2048 T^{4} + 8386 T^{5} + 39070 T^{6} + 138238 T^{7} + 567086 T^{8} + 1833528 T^{9} + 7009003 T^{10} + 21381286 T^{11} + 77099033 T^{12} + 221856888 T^{13} + 754791466 T^{14} + 2023942558 T^{15} + 6292262570 T^{16} + 14856310546 T^{17} + 39909726208 T^{18} + 73953813945 T^{19} + 157982495297 T^{20} + 181561972207 T^{21} + 285311670611 T^{22}$$)($$1 + 9 T + 108 T^{2} + 662 T^{3} + 4825 T^{4} + 23523 T^{5} + 133338 T^{6} + 556308 T^{7} + 2669196 T^{8} + 9818358 T^{9} + 41239643 T^{10} + 135341926 T^{11} + 506238982 T^{12} + 1488761186 T^{13} + 4989996803 T^{14} + 13068234498 T^{15} + 39079698636 T^{16} + 89593959708 T^{17} + 236216400618 T^{18} + 458396723433 T^{19} + 1034281600825 T^{20} + 1560961371442 T^{21} + 2801241856908 T^{22} + 2567805035499 T^{23} + 3138428376721 T^{24}$$)($$1 - 6 T + 95 T^{2} - 445 T^{3} + 4078 T^{4} - 15973 T^{5} + 111449 T^{6} - 383000 T^{7} + 2252090 T^{8} - 6966559 T^{9} + 36075172 T^{10} - 101525851 T^{11} + 474251051 T^{12} - 1221561420 T^{13} + 5216761561 T^{14} - 12284627971 T^{15} + 48016053932 T^{16} - 101997390319 T^{17} + 362701346590 T^{18} - 678507863000 T^{19} + 2171825720779 T^{20} - 3423954406213 T^{21} + 9615710683898 T^{22} - 11542153947445 T^{23} + 27104608708045 T^{24} - 18830570260326 T^{25} + 34522712143931 T^{26}$$)($$1 - 8 T + 81 T^{2} - 441 T^{3} + 2686 T^{4} - 10965 T^{5} + 49665 T^{6} - 152162 T^{7} + 545672 T^{8} - 1092105 T^{9} + 3121168 T^{10} + 40003 T^{11} + 1547275 T^{12} + 66901436 T^{13} + 17020025 T^{14} + 4840363 T^{15} + 4154274608 T^{16} - 15989509305 T^{17} + 87881021272 T^{18} - 269564264882 T^{19} + 967830347715 T^{20} - 2350445130165 T^{21} + 6333447498026 T^{22} - 11438404249041 T^{23} + 23110245319491 T^{24} - 25107427013768 T^{25} + 34522712143931 T^{26}$$)($$1 - 5 T + 77 T^{2} - 255 T^{3} + 2729 T^{4} - 6593 T^{5} + 65146 T^{6} - 112950 T^{7} + 1185032 T^{8} - 1386308 T^{9} + 17737693 T^{10} - 13301606 T^{11} + 229927478 T^{12} - 117374261 T^{13} + 2659852280 T^{14} - 1291116871 T^{15} + 27821224838 T^{16} - 17704437586 T^{17} + 259697563213 T^{18} - 223266289708 T^{19} + 2099356474952 T^{20} - 2201075964450 T^{21} + 13964623661626 T^{22} - 15545949126763 T^{23} + 70783231736129 T^{24} - 72754476005805 T^{25} + 241658985007517 T^{26} - 172613560719655 T^{27} + 379749833583241 T^{28}$$)($$1 + T + 47 T^{2} - 9 T^{3} + 1093 T^{4} - 1167 T^{5} + 18072 T^{6} - 28964 T^{7} + 240068 T^{8} - 401230 T^{9} + 2852393 T^{10} - 3329744 T^{11} + 32846446 T^{12} - 18794541 T^{13} + 367939200 T^{14} - 206739951 T^{15} + 3974419966 T^{16} - 4431889264 T^{17} + 41761885913 T^{18} - 64618492730 T^{19} + 425295106148 T^{20} - 564426420844 T^{21} + 3873893697432 T^{22} - 2751724955397 T^{23} + 28349605088893 T^{24} - 2567805035499 T^{25} + 147506133705887 T^{26} + 34522712143931 T^{27} + 379749833583241 T^{28}$$)($$1 + 8 T + 115 T^{2} + 693 T^{3} + 5771 T^{4} + 28541 T^{5} + 177373 T^{6} + 755945 T^{7} + 3867618 T^{8} + 14680639 T^{9} + 65285057 T^{10} + 226078711 T^{11} + 905329918 T^{12} + 2903978747 T^{13} + 10710168638 T^{14} + 31943766217 T^{15} + 109544920078 T^{16} + 300910764341 T^{17} + 955838519537 T^{18} + 2364331591589 T^{19} + 6851721211698 T^{20} + 14731229481595 T^{21} + 38021477799613 T^{22} + 67298185048831 T^{23} + 149684877372371 T^{24} + 197720987733423 T^{25} + 360919263322915 T^{26} + 276181697151448 T^{27} + 379749833583241 T^{28}$$)($$1 - 3 T + 65 T^{2} - 229 T^{3} + 2454 T^{4} - 9236 T^{5} + 66724 T^{6} - 253618 T^{7} + 1437743 T^{8} - 5299587 T^{9} + 25561632 T^{10} - 89155397 T^{11} + 383776013 T^{12} - 1250211022 T^{13} + 4919450306 T^{14} - 14878517304 T^{15} + 54113953366 T^{16} - 151275533662 T^{17} + 510805873303 T^{18} - 1305324167477 T^{19} + 4116726395232 T^{20} - 9388541645307 T^{21} + 28017543695053 T^{22} - 54365270681458 T^{23} + 157331701734284 T^{24} - 239558053614836 T^{25} + 700154839679394 T^{26} - 718700098269109 T^{27} + 2243976289355515 T^{28} - 1139249500749723 T^{29} + 4177248169415651 T^{30}$$)($$1 - 18 T + 222 T^{2} - 1987 T^{3} + 14824 T^{4} - 93992 T^{5} + 532681 T^{6} - 2730734 T^{7} + 13026106 T^{8} - 58197357 T^{9} + 247564285 T^{10} - 1003286131 T^{11} + 3908767024 T^{12} - 14608731198 T^{13} + 52737399316 T^{14} - 183510103533 T^{15} + 619164682490 T^{16} - 2018611138863 T^{17} + 6381225317236 T^{18} - 19444221224538 T^{19} + 57228257998384 T^{20} - 161580234683681 T^{21} + 438575232298885 T^{22} - 1134101847607047 T^{23} + 2792261505947386 T^{24} - 6438927930035194 T^{25} + 13816373273885281 T^{26} - 26817014544069112 T^{27} + 46524062256512104 T^{28} - 68596629029990897 T^{29} + 84304463055479502 T^{30} - 75190467049481718 T^{31} + 45949729863572161 T^{32}$$)
$13$ ($$1 - T$$)($$1 - T$$)($$1 + T$$)($$1 - T$$)($$1 - T$$)($$1 - T$$)($$1 - T$$)($$1 + T$$)($$1 - T$$)($$1 - T$$)($$1 + T$$)($$( 1 + T )^{2}$$)($$( 1 - T )^{2}$$)($$( 1 - T )^{4}$$)($$( 1 - T )^{7}$$)($$( 1 - T )^{8}$$)($$( 1 + T )^{8}$$)($$( 1 - T )^{9}$$)($$( 1 + T )^{10}$$)($$( 1 + T )^{11}$$)($$( 1 + T )^{11}$$)($$( 1 - T )^{11}$$)($$( 1 - T )^{12}$$)($$( 1 - T )^{13}$$)($$( 1 - T )^{13}$$)($$( 1 - T )^{14}$$)($$( 1 + T )^{14}$$)($$( 1 + T )^{14}$$)($$( 1 + T )^{15}$$)($$( 1 + T )^{16}$$)
$17$ ($$1 + 3 T + 17 T^{2}$$)($$1 - 2 T + 17 T^{2}$$)($$1 + 17 T^{2}$$)($$1 + 7 T + 17 T^{2}$$)($$1 - 2 T + 17 T^{2}$$)($$1 - 2 T + 17 T^{2}$$)($$1 - 2 T + 17 T^{2}$$)($$1 + 7 T + 17 T^{2}$$)($$1 + 2 T + 17 T^{2}$$)($$1 - 2 T + 17 T^{2}$$)($$1 + 3 T + 17 T^{2}$$)($$1 - 11 T + 60 T^{2} - 187 T^{3} + 289 T^{4}$$)($$1 - 3 T + 20 T^{2} - 51 T^{3} + 289 T^{4}$$)($$( 1 - 2 T + 17 T^{2} )^{4}$$)($$1 - 3 T + 48 T^{2} - 210 T^{3} + 1728 T^{4} - 6112 T^{5} + 41181 T^{6} - 130549 T^{7} + 700077 T^{8} - 1766368 T^{9} + 8489664 T^{10} - 17539410 T^{11} + 68153136 T^{12} - 72412707 T^{13} + 410338673 T^{14}$$)($$1 + 20 T + 272 T^{2} + 2619 T^{3} + 20648 T^{4} + 134440 T^{5} + 761559 T^{6} + 3749008 T^{7} + 16461265 T^{8} + 63733136 T^{9} + 220090551 T^{10} + 660503720 T^{11} + 1724541608 T^{12} + 3718605483 T^{13} + 6565418768 T^{14} + 8206773460 T^{15} + 6975757441 T^{16}$$)($$1 + 11 T + 121 T^{2} + 865 T^{3} + 6128 T^{4} + 34226 T^{5} + 187199 T^{6} + 859993 T^{7} + 3847800 T^{8} + 14619881 T^{9} + 54100511 T^{10} + 168152338 T^{11} + 511816688 T^{12} + 1228176305 T^{13} + 2920645849 T^{14} + 4513725403 T^{15} + 6975757441 T^{16}$$)($$1 + 6 T + 105 T^{2} + 535 T^{3} + 5230 T^{4} + 23865 T^{5} + 168151 T^{6} + 689302 T^{7} + 3862362 T^{8} + 13892394 T^{9} + 65660154 T^{10} + 199208278 T^{11} + 826125863 T^{12} + 1993228665 T^{13} + 7425852110 T^{14} + 12913599415 T^{15} + 43085560665 T^{16} + 41854544646 T^{17} + 118587876497 T^{18}$$)($$1 - 5 T + 127 T^{2} - 617 T^{3} + 7601 T^{4} - 35257 T^{5} + 284942 T^{6} - 1236768 T^{7} + 7502944 T^{8} - 29589705 T^{9} + 146715906 T^{10} - 503024985 T^{11} + 2168350816 T^{12} - 6076241184 T^{13} + 23798640782 T^{14} - 50059898249 T^{15} + 183469661969 T^{16} - 253178961241 T^{17} + 885921195007 T^{18} - 592939382485 T^{19} + 2015993900449 T^{20}$$)($$1 - 8 T + 115 T^{2} - 633 T^{3} + 5317 T^{4} - 21507 T^{5} + 138978 T^{6} - 406053 T^{7} + 2388290 T^{8} - 4584375 T^{9} + 33047235 T^{10} - 49493952 T^{11} + 561802995 T^{12} - 1324884375 T^{13} + 11733668770 T^{14} - 33913952613 T^{15} + 197328886146 T^{16} - 519126696483 T^{17} + 2181770724341 T^{18} - 4415654460153 T^{19} + 13637605797155 T^{20} - 16127951203592 T^{21} + 34271896307633 T^{22}$$)($$1 - 6 T + 153 T^{2} - 773 T^{3} + 10899 T^{4} - 47519 T^{5} + 483464 T^{6} - 1841343 T^{7} + 14940230 T^{8} - 49860261 T^{9} + 338801625 T^{10} - 985794764 T^{11} + 5759627625 T^{12} - 14409615429 T^{13} + 73401349990 T^{14} - 153790808703 T^{15} + 686449744648 T^{16} - 1146993141311 T^{17} + 4472281197027 T^{18} - 5392260501893 T^{19} + 18143945104041 T^{20} - 12095963402694 T^{21} + 34271896307633 T^{22}$$)($$1 - 10 T + 93 T^{2} - 653 T^{3} + 4343 T^{4} - 24625 T^{5} + 136106 T^{6} - 684457 T^{7} + 3370952 T^{8} - 15454001 T^{9} + 69191945 T^{10} - 288127004 T^{11} + 1176263065 T^{12} - 4466206289 T^{13} + 16561487176 T^{14} - 57166533097 T^{15} + 193251056842 T^{16} - 594387636625 T^{17} + 1782100856839 T^{18} - 4555169608973 T^{19} + 11028672514221 T^{20} - 20159939004490 T^{21} + 34271896307633 T^{22}$$)($$1 + 20 T + 308 T^{2} + 3239 T^{3} + 29136 T^{4} + 213080 T^{5} + 1395897 T^{6} + 7911158 T^{7} + 41497074 T^{8} + 195858496 T^{9} + 887388135 T^{10} + 3759932727 T^{11} + 15860100946 T^{12} + 63918856359 T^{13} + 256455171015 T^{14} + 962252790848 T^{15} + 3465877117554 T^{16} + 11232713064406 T^{17} + 33693560154393 T^{18} + 87434964442840 T^{19} + 203245668800976 T^{20} + 384106131973783 T^{21} + 620926121338292 T^{22} + 685437926152660 T^{23} + 582622237229761 T^{24}$$)($$1 - 18 T + 271 T^{2} - 2833 T^{3} + 26652 T^{4} - 209033 T^{5} + 1518293 T^{6} - 9758968 T^{7} + 58951093 T^{8} - 323718808 T^{9} + 1684297661 T^{10} - 8072157719 T^{11} + 36809878173 T^{12} - 155489187802 T^{13} + 625767928941 T^{14} - 2332853580791 T^{15} + 8274954408493 T^{16} - 27037318562968 T^{17} + 83702122053701 T^{18} - 235557763468792 T^{19} + 623014334845189 T^{20} - 1458163505164553 T^{21} + 3160604084398044 T^{22} - 5711310719972017 T^{23} + 9287683899368543 T^{24} - 10487200270135698 T^{25} + 9904578032905937 T^{26}$$)($$1 + T + 72 T^{2} + 122 T^{3} + 3269 T^{4} + 6415 T^{5} + 109939 T^{6} + 226455 T^{7} + 2995534 T^{8} + 6146609 T^{9} + 68282485 T^{10} + 135831759 T^{11} + 1335831804 T^{12} + 2522899582 T^{13} + 22709140668 T^{14} + 39255378351 T^{15} + 335471848805 T^{16} + 513370930289 T^{17} + 4253229918638 T^{18} + 5466073187895 T^{19} + 45112223370947 T^{20} + 44749483984015 T^{21} + 387663768268693 T^{22} + 245951255854778 T^{23} + 2467576534149576 T^{24} + 582622237229761 T^{25} + 9904578032905937 T^{26}$$)($$1 + 7 T + 123 T^{2} + 727 T^{3} + 7139 T^{4} + 36853 T^{5} + 264438 T^{6} + 1214718 T^{7} + 7123293 T^{8} + 29308688 T^{9} + 151804013 T^{10} + 566691726 T^{11} + 2783918143 T^{12} + 9781111041 T^{13} + 47887217988 T^{14} + 166278887697 T^{15} + 804552343327 T^{16} + 2784156449838 T^{17} + 12678822969773 T^{18} + 41614145817616 T^{19} + 171938976294717 T^{20} + 498445772189214 T^{21} + 1844655346183158 T^{22} + 4370319012543941 T^{23} + 14392180455305411 T^{24} + 24915668615649191 T^{25} + 71662535179260603 T^{26} + 69332046230341559 T^{27} + 168377826559400929 T^{28}$$)($$1 + 12 T + 146 T^{2} + 1179 T^{3} + 9205 T^{4} + 57844 T^{5} + 354707 T^{6} + 1891121 T^{7} + 10018184 T^{8} + 48084616 T^{9} + 233639956 T^{10} + 1050210241 T^{11} + 4794849506 T^{12} + 20320486587 T^{13} + 87060872590 T^{14} + 345448271979 T^{15} + 1385711507234 T^{16} + 5159682914033 T^{17} + 19513842765076 T^{18} + 68273278619912 T^{19} + 241814607554696 T^{20} + 776000081622433 T^{21} + 2474349994624787 T^{22} + 6859597128092468 T^{23} + 18557223853633045 T^{24} + 40406565746699307 T^{25} + 85062846635545106 T^{26} + 118854936394871244 T^{27} + 168377826559400929 T^{28}$$)($$1 + 4 T + 112 T^{2} + 455 T^{3} + 6661 T^{4} + 27062 T^{5} + 277881 T^{6} + 1107307 T^{7} + 8993960 T^{8} + 34454734 T^{9} + 236670370 T^{10} + 857297371 T^{11} + 5189048050 T^{12} + 17526492347 T^{13} + 95917900138 T^{14} + 297950369899 T^{15} + 1499634886450 T^{16} + 4211901983723 T^{17} + 19766945972770 T^{18} + 48920795253038 T^{19} + 217092330083240 T^{20} + 454370884983611 T^{21} + 1938430453462521 T^{22} + 3209225113761814 T^{23} + 13428535370890789 T^{24} + 15593712819973015 T^{25} + 65253690569733232 T^{26} + 39618312131623748 T^{27} + 168377826559400929 T^{28}$$)($$1 + 2 T + 115 T^{2} + 191 T^{3} + 6839 T^{4} + 10981 T^{5} + 281640 T^{6} + 481747 T^{7} + 8943937 T^{8} + 16838549 T^{9} + 232091030 T^{10} + 475845789 T^{11} + 5117480084 T^{12} + 10948036324 T^{13} + 98395671890 T^{14} + 205762249634 T^{15} + 1672726422130 T^{16} + 3163982497636 T^{17} + 25142179652692 T^{18} + 39743116143069 T^{19} + 329536073582710 T^{20} + 406441638347381 T^{21} + 3670043239975601 T^{22} + 3360550219929427 T^{23} + 33399089536615080 T^{24} + 22137629020830469 T^{25} + 234385498847902087 T^{26} + 111280847310884351 T^{27} + 1139026473784182755 T^{28} + 336755653118801858 T^{29} + 2862423051509815793 T^{30}$$)($$1 - 17 T + 239 T^{2} - 2365 T^{3} + 20934 T^{4} - 157674 T^{5} + 1101441 T^{6} - 6967309 T^{7} + 41698740 T^{8} - 232884971 T^{9} + 1247156179 T^{10} - 6334270028 T^{11} + 31065016074 T^{12} - 145589136725 T^{13} + 660576422525 T^{14} - 2872258232223 T^{15} + 12094789738742 T^{16} - 48828389947791 T^{17} + 190906586109725 T^{18} - 715279428729925 T^{19} + 2594581207516554 T^{20} - 8993757639145996 T^{21} + 30103318324388851 T^{22} - 95561709961783483 T^{23} + 290880295835324340 T^{24} - 826238379208436573 T^{25} + 2220498337704447009 T^{26} - 5403786978409725642 T^{27} + 12196613914167816774 T^{28} - 23424327047822541005 T^{29} + 40242300547696822031 T^{30} - 48661191875666868481 T^{31} + 48661191875666868481 T^{32}$$)
$19$ ($$1 + 8 T + 19 T^{2}$$)($$1 - 8 T + 19 T^{2}$$)($$1 - 4 T + 19 T^{2}$$)($$1 + 6 T + 19 T^{2}$$)($$1 + 19 T^{2}$$)($$1 + 19 T^{2}$$)($$1 - 8 T + 19 T^{2}$$)($$1 + 19 T^{2}$$)($$1 - 8 T + 19 T^{2}$$)($$1 - 4 T + 19 T^{2}$$)($$1 - 8 T + 19 T^{2}$$)($$( 1 + 2 T + 19 T^{2} )^{2}$$)($$( 1 + 19 T^{2} )^{2}$$)($$1 + 6 T + 52 T^{2} + 222 T^{3} + 1382 T^{4} + 4218 T^{5} + 18772 T^{6} + 41154 T^{7} + 130321 T^{8}$$)($$1 + 16 T + 225 T^{2} + 2028 T^{3} + 16324 T^{4} + 101598 T^{5} + 571970 T^{6} + 2616215 T^{7} + 10867430 T^{8} + 36676878 T^{9} + 111966316 T^{10} + 264290988 T^{11} + 557122275 T^{12} + 752734096 T^{13} + 893871739 T^{14}$$)($$1 + 12 T + 144 T^{2} + 1120 T^{3} + 8653 T^{4} + 51782 T^{5} + 304550 T^{6} + 1478705 T^{7} + 7052218 T^{8} + 28095395 T^{9} + 109942550 T^{10} + 355172738 T^{11} + 1127667613 T^{12} + 2773230880 T^{13} + 6774606864 T^{14} + 10726460868 T^{15} + 16983563041 T^{16}$$)($$1 + 15 T + 176 T^{2} + 1577 T^{3} + 11879 T^{4} + 77654 T^{5} + 446604 T^{6} + 2291803 T^{7} + 10538805 T^{8} + 43544257 T^{9} + 161224044 T^{10} + 532628786 T^{11} + 1548083159 T^{12} + 3904808123 T^{13} + 8280075056 T^{14} + 13408076085 T^{15} + 16983563041 T^{16}$$)($$1 + 4 T + 89 T^{2} + 116 T^{3} + 3173 T^{4} - 2110 T^{5} + 87057 T^{6} - 93359 T^{7} + 2295634 T^{8} - 1501406 T^{9} + 43617046 T^{10} - 33702599 T^{11} + 597123963 T^{12} - 274977310 T^{13} + 7856662127 T^{14} + 5457322196 T^{15} + 79554584771 T^{16} + 67934252164 T^{17} + 322687697779 T^{18}$$)($$1 + 9 T + 132 T^{2} + 825 T^{3} + 7594 T^{4} + 38611 T^{5} + 283212 T^{6} + 1249500 T^{7} + 7869398 T^{8} + 30764353 T^{9} + 169590490 T^{10} + 584522707 T^{11} + 2840852678 T^{12} + 8570320500 T^{13} + 36908471052 T^{14} + 95604658489 T^{15} + 357266420314 T^{16} + 737444184675 T^{17} + 2241830321412 T^{18} + 2904189280011 T^{19} + 6131066257801 T^{20}$$)($$1 + 2 T + 137 T^{2} + 284 T^{3} + 9404 T^{4} + 19232 T^{5} + 422562 T^{6} + 823535 T^{7} + 13731541 T^{8} + 24744422 T^{9} + 337951079 T^{10} + 545409882 T^{11} + 6421070501 T^{12} + 8932736342 T^{13} + 94184639719 T^{14} + 107323904735 T^{15} + 1046305345638 T^{16} + 904786383392 T^{17} + 8405969833556 T^{18} + 4823331903644 T^{19} + 44208214595723 T^{20} + 12262132515602 T^{21} + 116490258898219 T^{22}$$)($$1 + 3 T + 147 T^{2} + 494 T^{3} + 10378 T^{4} + 36802 T^{5} + 470428 T^{6} + 1662087 T^{7} + 15325338 T^{8} + 51183015 T^{9} + 377523214 T^{10} + 1135877742 T^{11} + 7172941066 T^{12} + 18477068415 T^{13} + 105116493342 T^{14} + 216604839927 T^{15} + 1164826300372 T^{16} + 1731382512562 T^{17} + 9276600907342 T^{18} + 8389880142254 T^{19} + 47435091573513 T^{20} + 18393198773403 T^{21} + 116490258898219 T^{22}$$)($$1 + 7 T + 183 T^{2} + 1126 T^{3} + 15612 T^{4} + 84506 T^{5} + 820396 T^{6} + 3898083 T^{7} + 29522476 T^{8} + 122469749 T^{9} + 764144734 T^{10} + 2739865090 T^{11} + 14518749946 T^{12} + 44211579389 T^{13} + 202494662884 T^{14} + 508002074643 T^{15} + 2031381715204 T^{16} + 3975659219786 T^{17} + 13955125589268 T^{18} + 19123491984166 T^{19} + 59051848693557 T^{20} + 42917463804607 T^{21} + 116490258898219 T^{22}$$)($$1 - 4 T + 126 T^{2} - 356 T^{3} + 7011 T^{4} - 13474 T^{5} + 244168 T^{6} - 330157 T^{7} + 6604515 T^{8} - 7926739 T^{9} + 156854122 T^{10} - 194231596 T^{11} + 3243988882 T^{12} - 3690400324 T^{13} + 56624338042 T^{14} - 54369502801 T^{15} + 860706999315 T^{16} - 817501417543 T^{17} + 11487098672008 T^{18} - 12044027811286 T^{19} + 119071760480451 T^{20} - 114876820409324 T^{21} + 772514348482926 T^{22} - 465961035592876 T^{23} + 2213314919066161 T^{24}$$)($$1 + T + 89 T^{2} + 118 T^{3} + 3551 T^{4} + 7307 T^{5} + 79541 T^{6} + 254589 T^{7} + 946180 T^{8} + 4707191 T^{9} + 979270 T^{10} + 33002165 T^{11} - 181609952 T^{12} - 63805734 T^{13} - 3450589088 T^{14} + 11913781565 T^{15} + 6716812930 T^{16} + 613445838311 T^{17} + 2342835351820 T^{18} + 11977363797909 T^{19} + 71099451991799 T^{20} + 124098895140587 T^{21} + 1145864014813229 T^{22} + 723465818420518 T^{23} + 10367633041941491 T^{24} + 2213314919066161 T^{25} + 42052983462257059 T^{26}$$)($$1 - 5 T + 115 T^{2} - 458 T^{3} + 6527 T^{4} - 21725 T^{5} + 250387 T^{6} - 709183 T^{7} + 7431436 T^{8} - 18489375 T^{9} + 185043908 T^{10} - 418680767 T^{11} + 4005392870 T^{12} - 8429455742 T^{13} + 76102464530 T^{14} - 151143756887 T^{15} + 1269216164972 T^{16} - 2409553839375 T^{17} + 18400971248164 T^{18} - 33364139025223 T^{19} + 223813863112993 T^{20} - 368967907065725 T^{21} + 2106182603403533 T^{22} - 2808028346072858 T^{23} + 13396379773295185 T^{24} - 11066574595330805 T^{25} + 42052983462257059 T^{26}$$)($$1 - 31 T + 642 T^{2} - 9741 T^{3} + 121456 T^{4} - 1282111 T^{5} + 11854890 T^{6} - 97421684 T^{7} + 722292215 T^{8} - 4870544446 T^{9} + 30103406600 T^{10} - 171316923644 T^{11} + 901349486328 T^{12} - 4393822430629 T^{13} + 19877998451480 T^{14} - 83482626181951 T^{15} + 325387164564408 T^{16} - 1175062779274196 T^{17} + 3923106051518600 T^{18} - 12059950232196154 T^{19} + 33980873594116415 T^{20} - 87082490093388476 T^{21} + 201338271659120490 T^{22} - 413721446887131469 T^{23} + 744654783407478256 T^{24} - 1134731611927551279 T^{25} + 1420948178040475362 T^{26} - 1303642487329968829 T^{27} + 799006685782884121 T^{28}$$)($$1 - 10 T + 120 T^{2} - 786 T^{3} + 6802 T^{4} - 39806 T^{5} + 293600 T^{6} - 1538069 T^{7} + 9895152 T^{8} - 47448685 T^{9} + 278127368 T^{10} - 1237611429 T^{11} + 6641904965 T^{12} - 27317844823 T^{13} + 135542121088 T^{14} - 519039051637 T^{15} + 2397727692365 T^{16} - 8488776791511 T^{17} + 36245836725128 T^{18} - 117487641479815 T^{19} + 465526143468912 T^{20} - 1374836411731991 T^{21} + 4986374108837600 T^{22} - 12844906497790874 T^{23} + 41703512685562402 T^{24} - 91561343494000134 T^{25} + 265597790287939320 T^{26} - 420529834622570590 T^{27} + 799006685782884121 T^{28}$$)($$1 + T + 106 T^{2} - 17 T^{3} + 5586 T^{4} - 6827 T^{5} + 211256 T^{6} - 402664 T^{7} + 6693371 T^{8} - 14345340 T^{9} + 182347476 T^{10} - 400413994 T^{11} + 4240436866 T^{12} - 9324043833 T^{13} + 85718030132 T^{14} - 177156832827 T^{15} + 1530797708626 T^{16} - 2746439584846 T^{17} + 23763705419796 T^{18} - 35520482028660 T^{19} + 314895535554851 T^{20} - 359929969912696 T^{21} + 3587879593789496 T^{22} - 2202988912737233 T^{23} + 34248136116076386 T^{24} - 1980334401269723 T^{25} + 234611381421013066 T^{26} + 42052983462257059 T^{27} + 799006685782884121 T^{28}$$)($$1 - 8 T + 125 T^{2} - 796 T^{3} + 7656 T^{4} - 40392 T^{5} + 300894 T^{6} - 1396933 T^{7} + 8967100 T^{8} - 38858280 T^{9} + 229462898 T^{10} - 978014112 T^{11} + 5420517659 T^{12} - 22734357256 T^{13} + 117061484835 T^{14} - 466358709022 T^{15} + 2224168211865 T^{16} - 8207102969416 T^{17} + 37179330623081 T^{18} - 127455777089952 T^{19} + 568172852274902 T^{20} - 1828122016744680 T^{21} + 8015437270786900 T^{22} - 23724899669553253 T^{23} + 97094792135514426 T^{24} - 247646028285097992 T^{25} + 891849422124764664 T^{26} - 1761798675576664156 T^{27} + 5256622932782132375 T^{28} - 6392053486263072968 T^{29} + 15181127029874798299 T^{30}$$)($$1 - 8 T + 174 T^{2} - 1168 T^{3} + 14381 T^{4} - 86472 T^{5} + 778232 T^{6} - 4352887 T^{7} + 31417374 T^{8} - 166970461 T^{9} + 1014611644 T^{10} - 5179103620 T^{11} + 27393112675 T^{12} - 134398590804 T^{13} + 635857427246 T^{14} - 2972024352442 T^{15} + 12892474396930 T^{16} - 56468462696398 T^{17} + 229544531235806 T^{18} - 921839934324636 T^{19} + 3569897836918675 T^{20} - 12823973294378380 T^{21} + 47733298664838364 T^{22} - 149250176335701679 T^{23} + 533578951911674334 T^{24} - 1404623084722137973 T^{25} + 4771391955940987832 T^{26} - 10073145667446793368 T^{27} + 31829681851090461341 T^{28} - 49117884683916244912 T^{29} +$$$$13\!\cdots\!54$$$$T^{30} -$$$$12\!\cdots\!92$$$$T^{31} +$$$$28\!\cdots\!81$$$$T^{32}$$)
$23$ ($$1 + 6 T + 23 T^{2}$$)($$1 - T + 23 T^{2}$$)($$1 + 23 T^{2}$$)($$1 - 4 T + 23 T^{2}$$)($$1 - 4 T + 23 T^{2}$$)($$1 - T + 23 T^{2}$$)($$1 + 4 T + 23 T^{2}$$)($$1 + 6 T + 23 T^{2}$$)($$1 + 23 T^{2}$$)($$1 + 8 T + 23 T^{2}$$)($$1 + 2 T + 23 T^{2}$$)($$1 + 2 T + 30 T^{2} + 46 T^{3} + 529 T^{4}$$)($$1 + 5 T + 36 T^{2} + 115 T^{3} + 529 T^{4}$$)($$1 - 6 T + 68 T^{2} - 336 T^{3} + 2261 T^{4} - 7728 T^{5} + 35972 T^{6} - 73002 T^{7} + 279841 T^{8}$$)($$1 - 6 T + 124 T^{2} - 579 T^{3} + 6515 T^{4} - 24568 T^{5} + 206736 T^{6} - 663561 T^{7} + 4754928 T^{8} - 12996472 T^{9} + 79268005 T^{10} - 162027939 T^{11} + 798106532 T^{12} - 888215334 T^{13} + 3404825447 T^{14}$$)($$1 + 14 T + 187 T^{2} + 1683 T^{3} + 13831 T^{4} + 95563 T^{5} + 594575 T^{6} + 3325627 T^{7} + 16676608 T^{8} + 76489421 T^{9} + 314530175 T^{10} + 1162715021 T^{11} + 3870480871 T^{12} + 10832365269 T^{13} + 27682711243 T^{14} + 47667556258 T^{15} + 78310985281 T^{16}$$)($$1 - T + 69 T^{2} - 79 T^{3} + 2418 T^{4} - 4870 T^{5} + 57771 T^{6} - 174833 T^{7} + 1243603 T^{8} - 4021159 T^{9} + 30560859 T^{10} - 59253290 T^{11} + 676655538 T^{12} - 508471097 T^{13} + 10214476341 T^{14} - 3404825447 T^{15} + 78310985281 T^{16}$$)($$1 + 6 T + 122 T^{2} + 663 T^{3} + 7508 T^{4} + 35794 T^{5} + 303460 T^{6} + 1273572 T^{7} + 9005105 T^{8} + 33522378 T^{9} + 207117415 T^{10} + 673719588 T^{11} + 3692197820 T^{12} + 10016628754 T^{13} + 48324063244 T^{14} + 98147794407 T^{15} + 415388704534 T^{16} + 469865911686 T^{17} + 1801152661463 T^{18}$$)($$1 - T + 76 T^{2} - 194 T^{3} + 3802 T^{4} - 11252 T^{5} + 147200 T^{6} - 440492 T^{7} + 4566628 T^{8} - 12582908 T^{9} + 117418651 T^{10} - 289406884 T^{11} + 2415746212 T^{12} - 5359466164 T^{13} + 41192595200 T^{14} - 72421731436 T^{15} + 562832449978 T^{16} - 660536136718 T^{17} + 5951634881356 T^{18} - 1801152661463 T^{19} + 41426511213649 T^{20}$$)($$1 - 3 T + 165 T^{2} - 587 T^{3} + 12812 T^{4} - 52162 T^{5} + 629044 T^{6} - 2825544 T^{7} + 22313200 T^{8} - 104865958 T^{9} + 622200037 T^{10} - 2813814436 T^{11} + 14310600851 T^{12} - 55474091782 T^{13} + 271484704400 T^{14} - 790703058504 T^{15} + 4048742946092 T^{16} - 7721848042018 T^{17} + 43622623626964 T^{18} - 45968548359947 T^{19} + 297190189141395 T^{20} - 124279533640947 T^{21} + 952809757913927 T^{22}$$)($$1 - 3 T + 128 T^{2} - 336 T^{3} + 9146 T^{4} - 21852 T^{5} + 447249 T^{6} - 959985 T^{7} + 16471669 T^{8} - 31995863 T^{9} + 475003423 T^{10} - 825435562 T^{11} + 10925078729 T^{12} - 16925811527 T^{13} + 200410796723 T^{14} - 268643162385 T^{15} + 2878647970407 T^{16} - 3234880246428 T^{17} + 31140533538262 T^{18} - 26312491054416 T^{19} + 230547540667264 T^{20} - 124279533640947 T^{21} + 952809757913927 T^{22}$$)($$1 - 18 T + 275 T^{2} - 2827 T^{3} + 25995 T^{4} - 194675 T^{5} + 1346400 T^{6} - 8130329 T^{7} + 46639949 T^{8} - 244056006 T^{9} + 1249586870 T^{10} - 6012971762 T^{11} + 28740498010 T^{12} - 129105627174 T^{13} + 567468259483 T^{14} - 2275199397689 T^{15} + 8665892215200 T^{16} - 28818886691075 T^{17} + 88508437494765 T^{18} - 221385155389387 T^{19} + 495316981902325 T^{20} - 745677201845682 T^{21} + 952809757913927 T^{22}$$)($$1 + 30 T + 568 T^{2} + 7949 T^{3} + 90946 T^{4} + 886648 T^{5} + 7594755 T^{6} + 58167924 T^{7} + 403735953 T^{8} + 2561028471 T^{9} + 14941629527 T^{10} + 80475187848 T^{11} + 401092920340 T^{12} + 1850929320504 T^{13} + 7904122019783 T^{14} + 31160033406657 T^{15} + 112981872823473 T^{16} + 374388710461932 T^{17} + 1124296308162195 T^{18} + 3018881672931656 T^{19} + 7122070867365826 T^{20} + 14317362505969387 T^{21} + 23530258369352632 T^{22} + 28584292737417810 T^{23} + 21914624432020321 T^{24}$$)($$1 - 20 T + 352 T^{2} - 4101 T^{3} + 43585 T^{4} - 372518 T^{5} + 2979330 T^{6} - 20485645 T^{7} + 134510618 T^{8} - 786186384 T^{9} + 4479260759 T^{10} - 23276946973 T^{11} + 120274516911 T^{12} - 575825457774 T^{13} + 2766313888953 T^{14} - 12313504948717 T^{15} + 54499165654753 T^{16} - 220007183884944 T^{17} + 865756474589974 T^{18} - 3032610669313405 T^{19} + 10144098599010510 T^{20} - 29172251614907558 T^{21} + 78503238749864855 T^{22} - 169890122487174549 T^{23} + 335389034785702304 T^{24} - 438292488640406420 T^{25} + 504036361936467383 T^{26}$$)($$1 + 9 T + 142 T^{2} + 928 T^{3} + 8808 T^{4} + 44074 T^{5} + 306041 T^{6} + 1052729 T^{7} + 5689972 T^{8} + 4307962 T^{9} + 11562851 T^{10} - 584517996 T^{11} - 2286303824 T^{12} - 20909499900 T^{13} - 52584987952 T^{14} - 309210019884 T^{15} + 140685208117 T^{16} + 1205544394042 T^{17} + 36622611452396 T^{18} + 155841673391081 T^{19} + 1042016184625327 T^{20} + 3451478365274794 T^{21} + 15864552642166104 T^{22} + 38443802406266272 T^{23} + 135298985623777634 T^{24} + 197231619888182889 T^{25} + 504036361936467383 T^{26}$$)($$1 - 14 T + 163 T^{2} - 1459 T^{3} + 12107 T^{4} - 88663 T^{5} + 613169 T^{6} - 3888147 T^{7} + 23623554 T^{8} - 135264391 T^{9} + 749221665 T^{10} - 3960305747 T^{11} + 20420056474 T^{12} - 101542944321 T^{13} + 495218559334 T^{14} - 2335487719383 T^{15} + 10802209874746 T^{16} - 48185040023749 T^{17} + 209662939955265 T^{18} - 870608016162113 T^{19} + 3497133817729506 T^{20} - 13238461847276709 T^{21} + 48017868533765489 T^{22} - 159695598423293969 T^{23} + 501550771263648443 T^{24} - 1390149436796419493 T^{25} + 3572083782419312323 T^{26} - 7056509067110543362 T^{27} + 11592836324538749809 T^{28}$$)($$1 + T + 146 T^{2} + 24 T^{3} + 10990 T^{4} - 4388 T^{5} + 580134 T^{6} - 461554 T^{7} + 23923309 T^{8} - 25743097 T^{9} + 811618435 T^{10} - 1003391134 T^{11} + 23330385884 T^{12} - 29594442892 T^{13} + 577062042746 T^{14} - 680672186516 T^{15} + 12341774132636 T^{16} - 12208259927378 T^{17} + 227124114468835 T^{18} - 165691402174271 T^{19} + 3541508315636701 T^{20} - 1571510804364638 T^{21} + 45430865135007654 T^{22} - 7903457878499644 T^{23} + 455277358238002510 T^{24} + 22867434189934248 T^{25} + 3199535167074966866 T^{26} + 504036361936467383 T^{27} + 11592836324538749809 T^{28}$$)($$1 + 9 T + 218 T^{2} + 1394 T^{3} + 19904 T^{4} + 92422 T^{5} + 1060630 T^{6} + 3513688 T^{7} + 39696593 T^{8} + 92499915 T^{9} + 1227382805 T^{10} + 2173065758 T^{11} + 34402667030 T^{12} + 53128614126 T^{13} + 854793008294 T^{14} + 1221958124898 T^{15} + 18199010858870 T^{16} + 26439691077586 T^{17} + 343472031534005 T^{18} + 595361180410845 T^{19} + 5876520435026177 T^{20} + 11963494315218536 T^{21} + 83058980318587030 T^{22} + 166466131277733386 T^{23} + 824553279196469696 T^{24} + 1328216802532014238 T^{25} + 4777388126180429978 T^{26} + 4536327257428206447 T^{27} + 11592836324538749809 T^{28}$$)($$1 - 3 T + 118 T^{2} - 194 T^{3} + 6965 T^{4} - 717 T^{5} + 286915 T^{6} + 361421 T^{7} + 9973092 T^{8} + 21675692 T^{9} + 317713852 T^{10} + 795158967 T^{11} + 9260638682 T^{12} + 22648428516 T^{13} + 242494067671 T^{14} + 553405977852 T^{15} + 5577363556433 T^{16} + 11981018684964 T^{17} + 112674190843894 T^{18} + 222518080484247 T^{19} + 2044915327323236 T^{20} + 3208780334910188 T^{21} + 33956637426872124 T^{22} + 28303234611244301 T^{23} + 516777715863656645 T^{24} - 29702808540186333 T^{25} + 6636319963870501555 T^{26} - 4251437139811942274 T^{27} + 59476290708503151194 T^{28} - 34778508973616249427 T^{29} +$$$$26\!\cdots\!07$$$$T^{30}$$)($$1 - 9 T + 215 T^{2} - 1397 T^{3} + 20893 T^{4} - 106801 T^{5} + 1308494 T^{6} - 5434270 T^{7} + 60807819 T^{8} - 206840189 T^{9} + 2259169676 T^{10} - 6331804517 T^{11} + 70594666072 T^{12} - 166376157997 T^{13} + 1922330798959 T^{14} - 3995384062124 T^{15} + 46645041506046 T^{16} - 91893833428852 T^{17} + 1016912992649311 T^{18} - 2024298714349499 T^{19} + 19755281948254552 T^{20} - 40753665680361331 T^{21} + 334438191388501964 T^{22} - 704254738969489483 T^{23} + 4761920218678712139 T^{24} - 9787949873608537010 T^{25} + 54206341363992434606 T^{26} -$$$$10\!\cdots\!27$$$$T^{27} +$$$$45\!\cdots\!53$$$$T^{28} -$$$$70\!\cdots\!51$$$$T^{29} +$$$$24\!\cdots\!35$$$$T^{30} -$$$$23\!\cdots\!63$$$$T^{31} +$$$$61\!\cdots\!61$$$$T^{32}$$)
$29$ ($$1 + 29 T^{2}$$)($$1 + 29 T^{2}$$)($$1 - 7 T + 29 T^{2}$$)($$1 - 6 T + 29 T^{2}$$)($$1 - 6 T + 29 T^{2}$$)($$1 + 29 T^{2}$$)($$1 - 6 T + 29 T^{2}$$)($$1 + 8 T + 29 T^{2}$$)($$1 + 2 T + 29 T^{2}$$)($$1 + 2 T + 29 T^{2}$$)($$1 - 8 T + 29 T^{2}$$)($$( 1 - 6 T + 29 T^{2} )^{2}$$)($$( 1 + 29 T^{2} )^{2}$$)($$1 + 89 T^{2} - 13 T^{3} + 3600 T^{4} - 377 T^{5} + 74849 T^{6} + 707281 T^{8}$$)($$1 + 5 T + 102 T^{2} + 612 T^{3} + 5141 T^{4} + 30066 T^{5} + 189821 T^{6} + 958991 T^{7} + 5504809 T^{8} + 25285506 T^{9} + 125383849 T^{10} + 432855972 T^{11} + 2092137198 T^{12} + 2974116605 T^{13} + 17249876309 T^{14}$$)($$1 + 25 T + 429 T^{2} + 5351 T^{3} + 55139 T^{4} + 473956 T^{5} + 3543400 T^{6} + 23012323 T^{7} + 132287252 T^{8} + 667357367 T^{9} + 2979999400 T^{10} + 11559312884 T^{11} + 38998767059 T^{12} + 109755158299 T^{13} + 255179204709 T^{14} + 431246907725 T^{15} + 500246412961 T^{16}$$)($$1 + 10 T + 132 T^{2} + 1191 T^{3} + 10091 T^{4} + 69737 T^{5} + 488836 T^{6} + 2845164 T^{7} + 16378047 T^{8} + 82509756 T^{9} + 411111076 T^{10} + 1700815693 T^{11} + 7137172571 T^{12} + 24428778459 T^{13} + 78516678372 T^{14} + 172498763090 T^{15} + 500246412961 T^{16}$$)($$1 + 19 T + 306 T^{2} + 3152 T^{3} + 27740 T^{4} + 185659 T^{5} + 1075537 T^{6} + 5043049 T^{7} + 22812464 T^{8} + 107108802 T^{9} + 661561456 T^{10} + 4241204209 T^{11} + 26231271893 T^{12} + 131313083179 T^{13} + 568979273260 T^{14} + 1874883107792 T^{15} + 5278462150554 T^{16} + 9504681846259 T^{17} + 14507145975869 T^{18}$$)($$1 + 22 T + 386 T^{2} + 4813 T^{3} + 52836 T^{4} + 487019 T^{5} + 4074064 T^{6} + 30067703 T^{7} + 204295736 T^{8} + 1249154483 T^{9} + 7072911694 T^{10} + 36225480007 T^{11} + 171812713976 T^{12} + 733321208467 T^{13} + 2881508059984 T^{14} + 9989319274831 T^{15} + 31428084988356 T^{16} + 83023654675217 T^{17} + 193095115402946 T^{18} + 319157211469118 T^{19} + 420707233300201 T^{20}$$)($$1 - 7 T + 167 T^{2} - 1232 T^{3} + 15022 T^{4} - 107473 T^{5} + 934158 T^{6} - 6141307 T^{7} + 43956661 T^{8} - 257645114 T^{9} + 1615564106 T^{10} - 8399862712 T^{11} + 46851359074 T^{12} - 216679540874 T^{13} + 1072059005129 T^{14} - 4343629756267 T^{15} + 19160653927542 T^{16} - 63927446777833 T^{17} + 259127641913798 T^{18} - 616303580767952 T^{19} + 2422693377970123 T^{20} - 2944950633101407 T^{21} + 12200509765705829 T^{22}$$)($$1 + 22 T + 409 T^{2} + 5193 T^{3} + 58002 T^{4} + 530702 T^{5} + 4411942 T^{6} + 32023646 T^{7} + 217127200 T^{8} + 1334856936 T^{9} + 7862310242 T^{10} + 43001382826 T^{11} + 228006997018 T^{12} + 1122614683176 T^{13} + 5295515280800 T^{14} + 22649716366526 T^{15} + 90493999741358 T^{16} + 315673926101342 T^{17} + 1000527325674618 T^{18} + 2597779622506473 T^{19} + 5933422704130421 T^{20} + 9255559132604422 T^{21} + 12200509765705829 T^{22}$$)($$1 - 29 T + 531 T^{2} - 7059 T^{3} + 77145 T^{4} - 718400 T^{5} + 5956553 T^{6} - 44637532 T^{7} + 308605345 T^{8} - 1975416638 T^{9} + 11807273239 T^{10} - 65741457936 T^{11} + 342410923931 T^{12} - 1661325392558 T^{13} + 7526575759205 T^{14} - 31571278270492 T^{15} + 122175746109397 T^{16} - 427321073806400 T^{17} + 1330741707857805 T^{18} - 3531239429091699 T^{19} + 7703294513186439 T^{20} - 12200509765705829 T^{21} + 12200509765705829 T^{22}$$)($$1 + 29 T + 581 T^{2} + 8215 T^{3} + 96385 T^{4} + 943160 T^{5} + 8220530 T^{6} + 63975721 T^{7} + 462363625 T^{8} + 3089568988 T^{9} + 19514878297 T^{10} + 115038001803 T^{11} + 641439793194 T^{12} + 3336102052287 T^{13} + 16412012647777 T^{14} + 75351498048332 T^{15} + 327021007053625 T^{16} + 1312215545813429 T^{17} + 4889762954980130 T^{18} + 16269393339596440 T^{19} + 48216250513245985 T^{20} + 119176204191763835 T^{21} + 244430902547416781 T^{22} + 353814783205469041 T^{23} + 353814783205469041 T^{24}$$)($$1 - 25 T + 514 T^{2} - 7329 T^{3} + 92318 T^{4} - 968258 T^{5} + 9295705 T^{6} - 79030818 T^{7} + 626852495 T^{8} - 4527137118 T^{9} + 30817131221 T^{10} - 193620860489 T^{11} + 1152727712381 T^{12} - 6371576750030 T^{13} + 33429103659049 T^{14} - 162835143671249 T^{15} + 751599013348969 T^{16} - 3201958067956158 T^{17} + 12857464925966755 T^{18} - 47009373624106578 T^{19} + 160349761454952845 T^{20} - 484367591320791938 T^{21} + 1339270702200274342 T^{22} - 3083363312857173129 T^{23} + 6271062019572796106 T^{24} - 8845369580136726025 T^{25} + 10260628712958602189 T^{26}$$)($$1 + T + 166 T^{2} + 9 T^{3} + 13590 T^{4} - 9690 T^{5} + 742427 T^{6} - 954692 T^{7} + 30842049 T^{8} - 53084536 T^{9} + 1054198399 T^{10} - 2171709581 T^{11} + 32057467777 T^{12} - 70373835838 T^{13} + 929666565533 T^{14} - 1826407757621 T^{15} + 25710844753211 T^{16} - 37545683706616 T^{17} + 632605862504301 T^{18} - 567873065972132 T^{19} + 12806773918461943 T^{20} - 4847387741592090 T^{21} + 197152113812059710 T^{22} + 3786365099701809 T^{23} + 2025284621107167614 T^{24} + 353814783205469041 T^{25} + 10260628712958602189 T^{26}$$)($$1 - 9 T + 201 T^{2} - 1916 T^{3} + 22888 T^{4} - 202129 T^{5} + 1823927 T^{6} - 14392698 T^{7} + 109856612 T^{8} - 773276416 T^{9} + 5232404216 T^{10} - 33076055245 T^{11} + 202467959958 T^{12} - 1157495988315 T^{13} + 6456011753450 T^{14} - 33567383661135 T^{15} + 170275554324678 T^{16} - 806691911370305 T^{17} + 3700780086296696 T^{18} - 15860787786761984 T^{19} + 65345274783648452 T^{20} - 248272260252791682 T^{21} + 912412939252717847 T^{22} - 2932314908956425101 T^{23} + 9629147155775000488 T^{24} - 23376176711092368364 T^{25} + 71116771424299277241 T^{26} - 92345658416627419701 T^{27} +$$$$29\!\cdots\!81$$$$T^{28}$$)($$1 - 6 T + 221 T^{2} - 1312 T^{3} + 25500 T^{4} - 145405 T^{5} + 1992382 T^{6} - 10821112 T^{7} + 117210411 T^{8} - 601700609 T^{9} + 5479693190 T^{10} - 26359011388 T^{11} + 209605421418 T^{12} - 934182931232 T^{13} + 6656663786778 T^{14} - 27091305005728 T^{15} + 176278159412538 T^{16} - 642869928741932 T^{17} + 3875682879116390 T^{18} - 12341570844589741 T^{19} + 69719485926794931 T^{20} - 186662843525835608 T^{21} + 996681948748063102 T^{22} - 2109411560621231945 T^{23} + 10728034449155125500 T^{24} - 16007068812606047648 T^{25} + 78193067088408658061 T^{26} - 61563772277751613134 T^{27} +$$$$29\!\cdots\!81$$$$T^{28}$$)($$1 + 10 T + 276 T^{2} + 2229 T^{3} + 36268 T^{4} + 252689 T^{5} + 3101986 T^{6} + 19180659 T^{7} + 194296543 T^{8} + 1081823807 T^{9} + 9461951626 T^{10} + 47796897838 T^{11} + 370298779492 T^{12} + 1700390057896 T^{13} + 11845573980640 T^{14} + 49311311678984 T^{15} + 311421273552772 T^{16} + 1165718541370982 T^{17} + 6692258607988906 T^{18} + 22189449297124243 T^{19} + 115572114966079303 T^{20} + 330863995275107631 T^{21} + 1551757369555240546 T^{22} + 3665796209496361741 T^{23} + 15258209937331689868 T^{24} + 27194936267758292841 T^{25} + 97652880164709455316 T^{26} +$$$$10\!\cdots\!90$$$$T^{27} +$$$$29\!\cdots\!81$$$$T^{28}$$)($$1 - 26 T + 492 T^{2} - 6878 T^{3} + 82755 T^{4} - 859175 T^{5} + 8093356 T^{6} - 69368335 T^{7} + 553881683 T^{8} - 4125364715 T^{9} + 29034620693 T^{10} - 193116487897 T^{11} + 1223332281964 T^{12} - 7373929885144 T^{13} + 42510010099452 T^{14} - 233928549023228 T^{15} + 1232790292884108 T^{16} - 6201475033406104 T^{17} + 29835851024819996 T^{18} - 136587622676278057 T^{19} + 595533431192606257 T^{20} - 2453863140112518515 T^{21} + 9554390521570748047 T^{22} - 34701260756826989935 T^{23} +$$$$11\!\cdots\!64$$$$T^{24} -$$$$36\!\cdots\!75$$$$T^{25} +$$$$10\!\cdots\!95$$$$T^{26} -$$$$24\!\cdots\!98$$$$T^{27} +$$$$50\!\cdots\!88$$$$T^{28} -$$$$77\!\cdots\!06$$$$T^{29} +$$$$86\!\cdots\!49$$$$T^{30}$$)($$1 - 14 T + 363 T^{2} - 3784 T^{3} + 57687 T^{4} - 485905 T^{5} + 5596325 T^{6} - 39845926 T^{7} + 382677987 T^{8} - 2374133520 T^{9} + 20075682866 T^{10} - 111107231470 T^{11} + 855577268701 T^{12} - 4306759012511 T^{13} + 30791526054198 T^{14} - 143152941955934 T^{15} + 957227518695760 T^{16} - 4151435316722086 T^{17} + 25895673411580518 T^{18} - 105037545556130779 T^{19} + 605133546184111981 T^{20} - 2278936979658659030 T^{21} + 11941484353696917986 T^{22} - 40953509561050777680 T^{23} +$$$$19\!\cdots\!07$$$$T^{24} -$$$$57\!\cdots\!94$$$$T^{25} +$$$$23\!\cdots\!25$$$$T^{26} -$$$$59\!\cdots\!45$$$$T^{27} +$$$$20\!\cdots\!67$$$$T^{28} -$$$$38\!\cdots\!76$$$$T^{29} +$$$$10\!\cdots\!03$$$$T^{30} -$$$$12\!\cdots\!86$$$$T^{31} +$$$$25\!\cdots\!21$$$$T^{32}$$)
$31$ ($$1 - 4 T + 31 T^{2}$$)($$1 + 4 T + 31 T^{2}$$)($$1 + 4 T + 31 T^{2}$$)($$1 + 6 T + 31 T^{2}$$)($$1 + 31 T^{2}$$)($$1 + 31 T^{2}$$)($$1 + 8 T + 31 T^{2}$$)($$1 + 31 T^{2}$$)($$1 - 10 T + 31 T^{2}$$)($$1 + 4 T + 31 T^{2}$$)($$1 - 8 T + 31 T^{2}$$)($$1 + 6 T + 54 T^{2} + 186 T^{3} + 961 T^{4}$$)($$( 1 - 4 T + 31 T^{2} )^{2}$$)($$1 - 6 T + 100 T^{2} - 438 T^{3} + 4406 T^{4} - 13578 T^{5} + 96100 T^{6} - 178746 T^{7} + 923521 T^{8}$$)($$1 + 16 T + 225 T^{2} + 2052 T^{3} + 18352 T^{4} + 128552 T^{5} + 886488 T^{6} + 4975541 T^{7} + 27481128 T^{8} + 123538472 T^{9} + 546724432 T^{10} + 1895065092 T^{11} + 6441558975 T^{12} + 14200058896 T^{13} + 27512614111 T^{14}$$)($$1 + 12 T + 160 T^{2} + 1020 T^{3} + 8033 T^{4} + 36594 T^{5} + 275710 T^{6} + 1225551 T^{7} + 9308526 T^{8} + 37992081 T^{9} + 264957310 T^{10} + 1090171854 T^{11} + 7418644193 T^{12} + 29201734020 T^{13} + 142000588960 T^{14} + 330151369332 T^{15} + 852891037441 T^{16}$$)($$1 + 3 T + 140 T^{2} + 303 T^{3} + 9749 T^{4} + 17084 T^{5} + 472412 T^{6} + 743553 T^{7} + 17040609 T^{8} + 23050143 T^{9} + 453987932 T^{10} + 508949444 T^{11} + 9003406229 T^{12} + 8674632753 T^{13} + 124250515340 T^{14} + 82537842333 T^{15} + 852891037441 T^{16}$$)($$1 + 6 T + 173 T^{2} + 812 T^{3} + 13665 T^{4} + 51436 T^{5} + 675453 T^{6} + 2100801 T^{7} + 24902436 T^{8} + 68887654 T^{9} + 771975516 T^{10} + 2018869761 T^{11} + 20122420323 T^{12} + 47502226156 T^{13} + 391217348415 T^{14} + 720652988972 T^{15} + 4759682241203 T^{16} + 5117346224646 T^{17} + 26439622160671 T^{18}$$)($$1 + 13 T + 276 T^{2} + 2731 T^{3} + 33920 T^{4} + 272263 T^{5} + 2522336 T^{6} + 16989876 T^{7} + 127708332 T^{8} + 733254463 T^{9} + 4638493462 T^{10} + 22730888353 T^{11} + 122727707052 T^{12} + 506145395916 T^{13} + 2329430265056 T^{14} + 7794658538713 T^{15} + 30104124859520 T^{16} + 75136949137141 T^{17} + 235397926333716 T^{18} + 343715088088723 T^{19} + 819628286980801 T^{20}$$)($$1 - 20 T + 375 T^{2} - 4796 T^{3} + 56136 T^{4} - 549304 T^{5} + 4939306 T^{6} - 39543561 T^{7} + 292537957 T^{8} - 1976311644 T^{9} + 12383720197 T^{10} - 71547900406 T^{11} + 383895326107 T^{12} - 1899235489884 T^{13} + 8714998276987 T^{14} - 36519308998281 T^{15} + 141408137309206 T^{16} - 487509321988024 T^{17} + 1544448105735096 T^{18} - 4090465415567036 T^{19} + 9914858310251625 T^{20} - 16392565739616020 T^{21} + 25408476896404831 T^{22}$$)($$1 + 5 T + 201 T^{2} + 1154 T^{3} + 21418 T^{4} + 124918 T^{5} + 1544180 T^{6} + 8550937 T^{7} + 81914778 T^{8} + 412754431 T^{9} + 3302157742 T^{10} + 14763067030 T^{11} + 102366890002 T^{12} + 396657008191 T^{13} + 2440323151398 T^{14} + 7896969889177 T^{15} + 44208562391180 T^{16} + 110865184823158 T^{17} + 589265169029398 T^{18} + 984236257206914 T^{19} + 5314364054294871 T^{20} + 4098141434904005 T^{21} + 25408476896404831 T^{22}$$)($$1 - 7 T + 315 T^{2} - 1966 T^{3} + 45804 T^{4} - 253922 T^{5} + 4059628 T^{6} - 19863291 T^{7} + 243726268 T^{8} - 1042376093 T^{9} + 10408598782 T^{10} - 38348771362 T^{11} + 322666562242 T^{12} - 1001723425373 T^{13} + 7260849249988 T^{14} - 18344166367611 T^{15} + 116223703015828 T^{16} - 225356709686882 T^{17} + 1260187776740244 T^{18} - 1676783779609006 T^{19} + 8328480980611365 T^{20} - 5737398008865607 T^{21} + 25408476896404831 T^{22}$$)($$1 - 6 T + 202 T^{2} - 1066 T^{3} + 18815 T^{4} - 88824 T^{5} + 1079326 T^{6} - 4570047 T^{7} + 43249037 T^{8} - 166059267 T^{9} + 1369526848 T^{10} - 5039552536 T^{11} + 41133646998 T^{12} - 156226128616 T^{13} + 1316115300928 T^{14} - 4947071623197 T^{15} + 39941393899277 T^{16} - 130836565640097 T^{17} + 957905797999006 T^{18} - 2443780435795464 T^{19} + 16047144869452415 T^{20} - 28184637223275286 T^{21} + 165564913970121802 T^{22} - 152450861378428986 T^{23} + 787662783788549761 T^{24}$$)($$1 + 5 T + 229 T^{2} + 1662 T^{3} + 27643 T^{4} + 228773 T^{5} + 2386285 T^{6} + 19044655 T^{7} + 157334264 T^{8} + 1121682255 T^{9} + 8005905466 T^{10} + 50136749907 T^{11} + 317045808232 T^{12} + 1751049030286 T^{13} + 9828420055192 T^{14} + 48181416660627 T^{15} + 238503929737606 T^{16} + 1035897117819855 T^{17} + 4504346401529864 T^{18} + 16902201415875055 T^{19} + 65652938363867635 T^{20} + 195118441308489893 T^{21} + 730870475387428453 T^{22} + 1362222212962091262 T^{23} + 5818541209276706299 T^{24} + 3938313918942748805 T^{25} + 24417546297445042591 T^{26}$$)($$1 - 5 T + 271 T^{2} - 1178 T^{3} + 35903 T^{4} - 137885 T^{5} + 3096295 T^{6} - 10609183 T^{7} + 194619460 T^{8} - 598844151 T^{9} + 9436631708 T^{10} - 26157030311 T^{11} + 363528273854 T^{12} - 906774761870 T^{13} + 11269376489474 T^{14} - 25136906128871 T^{15} + 281126695213028 T^{16} - 553045149175671 T^{17} + 5571789907878460 T^{18} - 9415688964902623 T^{19} + 85187169508818745 T^{20} - 117600880697552285 T^{21} + 949261754434570913 T^{22} - 965522122063383578 T^{23} + 6885697238925709201 T^{24} - 3938313918942748805 T^{25} + 24417546297445042591 T^{26}$$)($$1 - 23 T + 372 T^{2} - 4265 T^{3} + 41240 T^{4} - 326033 T^{5} + 2271256 T^{6} - 13473214 T^{7} + 73083297 T^{8} - 353741572 T^{9} + 1757621474 T^{10} - 8879255438 T^{11} + 52216752422 T^{12} - 301306059209 T^{13} + 1780869905636 T^{14} - 9340487835479 T^{15} + 50180299077542 T^{16} - 264521898753458 T^{17} + 1623200341289954 T^{18} - 10127320879765372 T^{19} + 64861695107116257 T^{20} - 370683337616922754 T^{21} + 1937133886134095896 T^{22} - 8620189331910048143 T^{23} + 33801470555088233240 T^{24} -$$$$10\!\cdots\!15$$$$T^{25} +$$$$29\!\cdots\!92$$$$T^{26} -$$$$56\!\cdots\!93$$$$T^{27} +$$$$75\!\cdots\!21$$$$T^{28}$$)($$1 - 20 T + 460 T^{2} - 6228 T^{3} + 86212 T^{4} - 910676 T^{5} + 9578480 T^{6} - 84341457 T^{7} + 733512374 T^{8} - 5576136615 T^{9} + 41749585244 T^{10} - 279324702071 T^{11} + 1838783091861 T^{12} - 10933646049901 T^{13} + 63949041245744 T^{14} - 338943027546931 T^{15} + 1767070551278421 T^{16} - 8321362199397161 T^{17} + 38556618714124124 T^{18} - 159640057147463865 T^{19} + 650994931984048694 T^{20} - 2320453960000499727 T^{21} + 8169399744307869680 T^{22} - 24077929350791223596 T^{23} + 70661793877188815812 T^{24} -$$$$15\!\cdots\!68$$$$T^{25} +$$$$36\!\cdots\!60$$$$T^{26} -$$$$48\!\cdots\!20$$$$T^{27} +$$$$75\!\cdots\!21$$$$T^{28}$$)($$1 + 5 T + 246 T^{2} + 1015 T^{3} + 29204 T^{4} + 93459 T^{5} + 2215336 T^{6} + 4982146 T^{7} + 121083335 T^{8} + 156826740 T^{9} + 5165689838 T^{10} + 2248011146 T^{11} + 185126820172 T^{12} - 20406816505 T^{13} + 5962515707672 T^{14} - 632611311655 T^{15} + 177906874185292 T^{16} + 66970500050486 T^{17} + 4770623044879598 T^{18} + 4489816420297740 T^{19} + 107461905520256135 T^{20} + 137071860342662206 T^{21} + 1889440219320395176 T^{22} + 2471020647514150989 T^{23} + 23936424492987312404 T^{24} + 25789604049850903465 T^{25} +$$$$19\!\cdots\!06$$$$T^{26} +$$$$12\!\cdots\!55$$$$T^{27} +$$$$75\!\cdots\!21$$$$T^{28}$$)($$1 + 171 T^{2} - 248 T^{3} + 15492 T^{4} - 35834 T^{5} + 1030848 T^{6} - 2695925 T^{7} + 55435144 T^{8} - 147303946 T^{9} + 2501133760 T^{10} - 6533582356 T^{11} + 97825130111 T^{12} - 246577142588 T^{13} + 3388706218081 T^{14} - 8138732000126 T^{15} + 105049892760511 T^{16} - 236960634027068 T^{17} + 2914308451136801 T^{18} - 6033900510995476 T^{19} + 71605336086237760 T^{20} - 130732794300825226 T^{21} + 1525165725059716984 T^{22} - 2299330270113127925 T^{23} + 27255231625083379008 T^{24} - 29370560035670023034 T^{25} +$$$$39\!\cdots\!52$$$$T^{26} -$$$$19\!\cdots\!28$$$$T^{27} +$$$$41\!\cdots\!61$$$$T^{28} +$$$$23\!\cdots\!51$$$$T^{30}$$)($$1 - 12 T + 242 T^{2} - 1868 T^{3} + 23811 T^{4} - 134798 T^{5} + 1453454 T^{6} - 6071611 T^{7} + 64167772 T^{8} - 170180139 T^{9} + 2164384854 T^{10} - 1609886068 T^{11} + 58820785357 T^{12} + 108118581150 T^{13} + 1425717210538 T^{14} + 6884627377524 T^{15} + 38315233057190 T^{16} + 213423448703244 T^{17} + 1370114239327018 T^{18} + 3220960651039650 T^{19} + 54322230513681997 T^{20} - 46089671333568268 T^{21} + 1920899525025647574 T^{22} - 4682100493663341429 T^{23} + 54728117631357551452 T^{24} -$$$$16\!\cdots\!81$$$$T^{25} +$$$$11\!\cdots\!54$$$$T^{26} -$$$$34\!\cdots\!38$$$$T^{27} +$$$$18\!\cdots\!71$$$$T^{28} -$$$$45\!\cdots\!88$$$$T^{29} +$$$$18\!\cdots\!82$$$$T^{30} -$$$$28\!\cdots\!12$$$$T^{31} +$$$$72\!\cdots\!81$$$$T^{32}$$)
$37$ ($$1 + 12 T + 37 T^{2}$$)($$1 + 7 T + 37 T^{2}$$)($$1 - 2 T + 37 T^{2}$$)($$1 + 2 T + 37 T^{2}$$)($$1 - 10 T + 37 T^{2}$$)($$1 + 5 T + 37 T^{2}$$)($$1 + 6 T + 37 T^{2}$$)($$1 - 8 T + 37 T^{2}$$)($$1 + 37 T^{2}$$)($$1 - 10 T + 37 T^{2}$$)($$1 + 8 T + 37 T^{2}$$)($$1 + 10 T + 82 T^{2} + 370 T^{3} + 1369 T^{4}$$)($$1 + 7 T + 70 T^{2} + 259 T^{3} + 1369 T^{4}$$)($$1 + 17 T + 236 T^{2} + 2003 T^{3} + 14654 T^{4} + 74111 T^{5} + 323084 T^{6} + 861101 T^{7} + 1874161 T^{8}$$)($$1 - 17 T + 306 T^{2} - 3124 T^{3} + 32871 T^{4} - 245430 T^{5} + 1913427 T^{6} - 11334611 T^{7} + 70796799 T^{8} - 335993670 T^{9} + 1665014763 T^{10} - 5854878964 T^{11} + 21219250842 T^{12} - 43617348953 T^{13} + 94931877133 T^{14}$$)($$1 + 15 T + 305 T^{2} + 3241 T^{3} + 38479 T^{4} + 316856 T^{5} + 2757678 T^{6} + 18281909 T^{7} + 125872348 T^{8} + 676430633 T^{9} + 3775261182 T^{10} + 16049706968 T^{11} + 72115841119 T^{12} + 224743764637 T^{13} + 782546554745 T^{14} + 1423978156995 T^{15} + 3512479453921 T^{16}$$)($$1 + 26 T + 534 T^{2} + 7527 T^{3} + 90799 T^{4} + 887857 T^{5} + 7663020 T^{6} + 56248822 T^{7} + 368805321 T^{8} + 2081206414 T^{9} + 10490674380 T^{10} + 44972620621 T^{11} + 170171944639 T^{12} + 521951964339 T^{13} + 1370097902406 T^{14} + 2468228805458 T^{15} + 3512479453921 T^{16}$$)($$1 + 13 T + 292 T^{2} + 2370 T^{3} + 30442 T^{4} + 164673 T^{5} + 1660233 T^{6} + 6131065 T^{7} + 63235570 T^{8} + 194561306 T^{9} + 2339716090 T^{10} + 8393427985 T^{11} + 84095782149 T^{12} + 308623714353 T^{13} + 2110968738994 T^{14} + 6080771589330 T^{15} + 27720108122836 T^{16} + 45662232900973 T^{17} + 129961739795077 T^{18}$$)($$1 - 10 T + 161 T^{2} - 1449 T^{3} + 17204 T^{4} - 130918 T^{5} + 1227005 T^{6} - 8351458 T^{7} + 66380764 T^{8} - 399331867 T^{9} + 2782931033 T^{10} - 14775279079 T^{11} + 90875265916 T^{12} - 423026402074 T^{13} + 2299604917805 T^{14} - 9078372162526 T^{15} + 44140757140436 T^{16} - 137556289965717 T^{17} + 565509192081281 T^{18} - 1299617397950770 T^{19} + 4808584372417849 T^{20}$$)($$1 - T + 188 T^{2} + 122 T^{3} + 16245 T^{4} + 39174 T^{5} + 960113 T^{6} + 3372779 T^{7} + 49696374 T^{8} + 160300075 T^{9} + 2295672879 T^{10} + 6000691094 T^{11} + 84939896523 T^{12} + 219450802675 T^{13} + 2517270432222 T^{14} + 6321130863419 T^{15} + 66578034587141 T^{16} + 100509766346166 T^{17} + 1542168344025585 T^{18} + 428522493378362 T^{19} + 24432807081474476 T^{20} - 4808584372417849 T^{21} + 177917621779460413 T^{22}$$)($$1 + 26 T + 489 T^{2} + 6595 T^{3} + 76490 T^{4} + 754780 T^{5} + 6795368 T^{6} + 55178850 T^{7} + 419200900 T^{8} + 2943564386 T^{9} + 19593332962 T^{10} + 122071212918 T^{11} + 724953319594 T^{12} + 4029739644434 T^{13} + 21233783187700 T^{14} + 103414048694850 T^{15} + 471217706391176 T^{16} + 1936558978985020 T^{17} + 7261339281903170 T^{18} + 23164801998608995 T^{19} + 63551290759792653 T^{20} + 125023193682864074 T^{21} + 177917621779460413 T^{22}$$)($$1 - 21 T + 413 T^{2} - 5809 T^{3} + 71521 T^{4} - 765742 T^{5} + 7312171 T^{6} - 63629198 T^{7} + 505776257 T^{8} - 3708250550 T^{9} + 25244809269 T^{10} - 158906302224 T^{11} + 934057942953 T^{12} - 5076595002950 T^{13} + 25619084745821 T^{14} - 119251361352878 T^{15} + 507054871400647 T^{16} - 1964684471880478 T^{17} + 6789622784429293 T^{18} - 20403993147827089 T^{19} + 53674198535366801 T^{20} - 100980271820774829 T^{21} + 177917621779460413 T^{22}$$)($$1 - 7 T + 266 T^{2} - 1606 T^{3} + 35104 T^{4} - 190635 T^{5} + 3077220 T^{6} - 15279486 T^{7} + 200225468 T^{8} - 912382020 T^{9} + 10212857752 T^{10} - 42495240726 T^{11} + 419463956610 T^{12} - 1572323906862 T^{13} + 13981402262488 T^{14} - 46214886459060 T^{15} + 375254763332348 T^{16} - 1059540020166102 T^{17} + 7895304620302980 T^{18} - 18097338397249455 T^{19} + 123302078750442784 T^{20} - 208718554110893662 T^{21} + 1279083443063147834 T^{22} - 1245423352456222891 T^{23} + 6582952005840035281 T^{24}$$)($$1 + 6 T + 229 T^{2} + 1563 T^{3} + 29319 T^{4} + 205714 T^{5} + 2622655 T^{6} + 18188219 T^{7} + 179633626 T^{8} + 1195429316 T^{9} + 9840351898 T^{10} + 61459463482 T^{11} + 440891702264 T^{12} + 2531076009400 T^{13} + 16312992983768 T^{14} + 84138005506858 T^{15} + 498443344689394 T^{16} + 2240427002303876 T^{17} + 12456506437098082 T^{18} + 46665993820975571 T^{19} + 248973562222248115 T^{20} + 722566198383904594 T^{21} + 3810348249051862563 T^{22} + 7515817374089097987 T^{23} + 40743135387496434577 T^{24} + 39497712035040211686 T^{25} +$$$$24\!\cdots\!97$$$$T^{26}$$)($$1 - 35 T + 879 T^{2} - 16087 T^{3} + 247562 T^{4} - 3231357 T^{5} + 37423176 T^{6} - 386418261 T^{7} + 3632397334 T^{8} - 31153758892 T^{9} + 246616407746 T^{10} - 1802194905228 T^{11} + 12241252447362 T^{12} - 77149226163688 T^{13} + 452926340552394 T^{14} - 2467204825257132 T^{15} + 12491860901558138 T^{16} - 58387159918789612 T^{17} + 251884804535810638 T^{18} - 991443537167554749 T^{19} + 3552652345958634408 T^{20} - 11350075070783800797 T^{21} + 32173588227148852274 T^{22} - 77355696799085936863 T^{23} +$$$$15\!\cdots\!27$$$$T^{24} -$$$$23\!\cdots\!35$$$$T^{25} +$$$$24\!\cdots\!97$$$$T^{26}$$)($$1 - 12 T + 376 T^{2} - 3991 T^{3} + 69320 T^{4} - 655633 T^{5} + 8276402 T^{6} - 70179299 T^{7} + 713605277 T^{8} - 5446190073 T^{9} + 46951903950 T^{10} - 322964467504 T^{11} + 2429171482682 T^{12} - 15038861584088 T^{13} + 100348643121968 T^{14} - 556437878611256 T^{15} + 3325535759791658 T^{16} - 16359119172480112 T^{17} + 87995427258835950 T^{18} - 377660370235938861 T^{19} + 1830915904800660293 T^{20} - 6662252589948069767 T^{21} + 29070691977390672242 T^{22} - 85207205347065718741 T^{23} +$$$$33\!\cdots\!80$$$$T^{24} -$$$$71\!\cdots\!83$$$$T^{25} +$$$$24\!\cdots\!56$$$$T^{26} -$$$$29\!\cdots\!64$$$$T^{27} +$$$$90\!\cdots\!89$$$$T^{28}$$)($$1 + 3 T + 321 T^{2} + 1045 T^{3} + 50594 T^{4} + 168589 T^{5} + 5241883 T^{6} + 17060148 T^{7} + 401317130 T^{8} + 1236128166 T^{9} + 24116562479 T^{10} + 69122313326 T^{11} + 1177989745387 T^{12} + 3113686396783 T^{13} + 47707103466890 T^{14} + 115206396680971 T^{15} + 1612667961434803 T^{16} + 3501252536901878 T^{17} + 45198320852205119 T^{18} + 85718018389592862 T^{19} + 1029669958825086170 T^{20} + 1619551873806795684 T^{21} + 18412006337357773243 T^{22} + 21910119750312236353 T^{23} +$$$$24\!\cdots\!06$$$$T^{24} +$$$$18\!\cdots\!85$$$$T^{25} +$$$$21\!\cdots\!01$$$$T^{26} +$$$$73\!\cdots\!91$$$$T^{27} +$$$$90\!\cdots\!89$$$$T^{28}$$)($$1 + 4 T + 265 T^{2} + 469 T^{3} + 34658 T^{4} + 11966 T^{5} + 3187605 T^{6} - 1583648 T^{7} + 229272679 T^{8} - 225871475 T^{9} + 13348935918 T^{10} - 16395454920 T^{11} + 644409391740 T^{12} - 813518143628 T^{13} + 26053793698036 T^{14} - 30100171314236 T^{15} + 882196457292060 T^{16} - 830478978062760 T^{17} + 25018055089014798 T^{18} - 15662821849926575 T^{19} + 588250967372479711 T^{20} - 150338677357921184 T^{21} + 11196397069715849205 T^{22} + 1555122178387891382 T^{23} +$$$$16\!\cdots\!42$$$$T^{24} + 83443364614566933697 T^{25} +$$$$17\!\cdots\!65$$$$T^{26} +$$$$97\!\cdots\!88$$$$T^{27} +$$$$90\!\cdots\!89$$$$T^{28}$$)($$1 - 25 T + 637 T^{2} - 10733 T^{3} + 168993 T^{4} - 2195276 T^{5} + 26543409 T^{6} - 283850250 T^{7} + 2843128342 T^{8} - 25957673047 T^{9} + 223327355434 T^{10} - 1778267126925 T^{11} + 13400103358884 T^{12} - 94198114875268 T^{13} + 628189236579148 T^{14} - 3921599955222616 T^{15} + 23243001753428476 T^{16} - 128957219264241892 T^{17} + 678755435437551252 T^{18} - 3332758896864884925 T^{19} + 15486402532139012338 T^{20} - 66600287252875398223 T^{21} +$$$$26\!\cdots\!86$$$$T^{22} -$$$$99\!\cdots\!50$$$$T^{23} +$$$$34\!\cdots\!93$$$$T^{24} -$$$$10\!\cdots\!24$$$$T^{25} +$$$$30\!\cdots\!09$$$$T^{26} -$$$$70\!\cdots\!73$$$$T^{27} +$$$$15\!\cdots\!89$$$$T^{28} -$$$$22\!\cdots\!25$$$$T^{29} +$$$$33\!\cdots\!93$$$$T^{30}$$)($$1 - 31 T + 754 T^{2} - 12946 T^{3} + 190736 T^{4} - 2348853 T^{5} + 25831880 T^{6} - 251058916 T^{7} + 2228836341 T^{8} - 17973740021 T^{9} + 134598123464 T^{10} - 933972070364 T^{11} + 6132901071232 T^{12} - 38247599798141 T^{13} + 232742218915806 T^{14} - 1394690371823392 T^{15} + 8452192989535540 T^{16} - 51603543757465504 T^{17} + 318624097695738414 T^{18} - 1937355672575236073 T^{19} + 11494044004561236352 T^{20} - 64765319086522190348 T^{21} +$$$$34\!\cdots\!76$$$$T^{22} -$$$$17\!\cdots\!93$$$$T^{23} +$$$$78\!\cdots\!61$$$$T^{24} -$$$$32\!\cdots\!32$$$$T^{25} +$$$$12\!\cdots\!20$$$$T^{26} -$$$$41\!\cdots\!89$$$$T^{27} +$$$$12\!\cdots\!16$$$$T^{28} -$$$$31\!\cdots\!62$$$$T^{29} +$$$$67\!\cdots\!06$$$$T^{30} -$$$$10\!\cdots\!83$$$$T^{31} +$$$$12\!\cdots\!41$$$$T^{32}$$)
$41$ ($$1 - 4 T + 41 T^{2}$$)($$1 - 7 T + 41 T^{2}$$)($$1 + 6 T + 41 T^{2}$$)($$1 + 6 T + 41 T^{2}$$)($$1 + 6 T + 41 T^{2}$$)($$1 - 9 T + 41 T^{2}$$)($$1 + 6 T + 41 T^{2}$$)($$1 + 4 T + 41 T^{2}$$)($$1 - 2 T + 41 T^{2}$$)($$1 - 10 T + 41 T^{2}$$)($$1 + 41 T^{2}$$)($$( 1 - 2 T + 41 T^{2} )^{2}$$)($$1 + T + 66 T^{2} + 41 T^{3} + 1681 T^{4}$$)($$1 - 16 T + 210 T^{2} - 1912 T^{3} + 13867 T^{4} - 78392 T^{5} + 353010 T^{6} - 1102736 T^{7} + 2825761 T^{8}$$)($$1 - 12 T + 164 T^{2} - 964 T^{3} + 8573 T^{4} - 47076 T^{5} + 482781 T^{6} - 2693347 T^{7} + 19794021 T^{8} - 79134756 T^{9} + 590859733 T^{10} - 2724033604 T^{11} + 19000416964 T^{12} - 57001250892 T^{13} + 194754273881 T^{14}$$)($$1 + 18 T + 365 T^{2} + 4210 T^{3} + 49609 T^{4} + 425338 T^{5} + 3714236 T^{6} + 25641027 T^{7} + 182463800 T^{8} + 1051282107 T^{9} + 6243630716 T^{10} + 29314720298 T^{11} + 140183177449 T^{12} + 487754606210 T^{13} + 1733788047965 T^{14} + 3505576929858 T^{15} + 7984925229121 T^{16}$$)($$1 + 12 T + 263 T^{2} + 2656 T^{3} + 31913 T^{4} + 265520 T^{5} + 2357812 T^{6} + 16122221 T^{7} + 116649126 T^{8} + 661011061 T^{9} + 3963481972 T^{10} + 18299903920 T^{11} + 90178510793 T^{12} + 307714069856 T^{13} + 1249277415383 T^{14} + 2337051286572 T^{15} + 7984925229121 T^{16}$$)($$1 + 18 T + 470 T^{2} + 5998 T^{3} + 88496 T^{4} + 866722 T^{5} + 9144477 T^{6} + 71249051 T^{7} + 582284380 T^{8} + 3653553638 T^{9} + 23873659580 T^{10} + 119769654731 T^{11} + 630246499317 T^{12} + 2449149225442 T^{13} + 10252810363696 T^{14} + 28491125237518 T^{15} + 91534508724070 T^{16} + 143728654124178 T^{17} + 327381934393961 T^{18}$$)($$1 + 18 T + 310 T^{2} + 4050 T^{3} + 46843 T^{4} + 470334 T^{5} + 4369368 T^{6} + 36294369 T^{7} + 282692915 T^{8} + 2012129172 T^{9} + 13424509742 T^{10} + 82497296052 T^{11} + 475206790115 T^{12} + 2501444205849 T^{13} + 12346789689048 T^{14} + 54491110441134 T^{15} + 222509132961163 T^{16} + 788754809218050 T^{17} + 2475326821027510 T^{18} + 5892874819091298 T^{19} + 13422659310152401 T^{20}$$)($$1 - 37 T + 973 T^{2} - 18502 T^{3} + 291521 T^{4} - 3856231 T^{5} + 44570085 T^{6} - 453515055 T^{7} + 4131958534 T^{8} - 33824295868 T^{9} + 250792029975 T^{10} - 1684434156848 T^{11} + 10282473228975 T^{12} - 56858641354108 T^{13} + 284778714121814 T^{14} - 1281525155331855 T^{15} + 5163720726347085 T^{16} - 18317499227375671 T^{17} + 56774960676063001 T^{18} - 147737086589196742 T^{19} + 318542622165324053 T^{20} - 496638394475638837 T^{21} + 550329031716248441 T^{22}$$)($$1 + 6 T + 154 T^{2} + 1292 T^{3} + 16131 T^{4} + 133430 T^{5} + 1259185 T^{6} + 9487247 T^{7} + 78059976 T^{8} + 521336780 T^{9} + 3892073849 T^{10} + 23498933434 T^{11} + 159575027809 T^{12} + 876367127180 T^{13} + 5379971605896 T^{14} + 26808692569967 T^{15} + 145884390456185 T^{16} + 633806408876630 T^{17} + 3141581191974411 T^{18} + 10316523396024332 T^{19} + 50416817896669994 T^{20} + 80535955860914406 T^{21} + 550329031716248441 T^{22}$$)($$1 + 3 T + 272 T^{2} + 981 T^{3} + 36987 T^{4} + 138644 T^{5} + 3346829 T^{6} + 12014750 T^{7} + 223134441 T^{8} + 740908205 T^{9} + 11516674142 T^{10} + 34623256162 T^{11} + 472183639822 T^{12} + 1245466692605 T^{13} + 15378648808161 T^{14} + 33950811974750 T^{15} + 387750893336629 T^{16} + 658573452389204 T^{17} + 7203376328036547 T^{18} + 7833211649767701 T^{19} + 89047886155157392 T^{20} + 40267977930457203 T^{21} + 550329031716248441 T^{22}$$)($$1 + 8 T + 210 T^{2} + 1836 T^{3} + 25968 T^{4} + 214790 T^{5} + 2323316 T^{6} + 17480343 T^{7} + 160141110 T^{8} + 1094530654 T^{9} + 8822694258 T^{10} + 55173358345 T^{11} + 397594665394 T^{12} + 2262107692145 T^{13} + 14830949047698 T^{14} + 75436147204334 T^{15} + 452520503134710 T^{16} + 2025206132156943 T^{17} + 11035993184783156 T^{18} + 41831270486899990 T^{19} + 207352538349814128 T^{20} + 601073231547312396 T^{21} + 2818758455132004210 T^{22} + 4402632253729987528 T^{23} + 22563490300366186081 T^{24}$$)($$1 - 13 T + 329 T^{2} - 4008 T^{3} + 57462 T^{4} - 611726 T^{5} + 6720724 T^{6} - 62188861 T^{7} + 572898395 T^{8} - 4677423501 T^{9} + 37417333446 T^{10} - 272037711237 T^{11} + 1925600799031 T^{12} - 12501862012612 T^{13} + 78949632760271 T^{14} - 457295392589397 T^{15} + 2578840038431766 T^{16} - 13217280909609261 T^{17} + 66373831603697395 T^{18} - 295403572379059501 T^{19} + 1308889722574609844 T^{20} - 4884586370709272846 T^{21} + 18812020714145786982 T^{22} - 53798018515090823208 T^{23} +$$$$18\!\cdots\!89$$$$T^{24} -$$$$29\!\cdots\!53$$$$T^{25} +$$$$92\!\cdots\!21$$$$T^{26}$$)($$1 - 24 T + 472 T^{2} - 7050 T^{3} + 94239 T^{4} - 1094474 T^{5} + 11715795 T^{6} - 113769865 T^{7} + 1033931287 T^{8} - 8696611730 T^{9} + 68942962671 T^{10} - 510748783110 T^{11} + 3581397425849 T^{12} - 23556186478802 T^{13} + 146837294459809 T^{14} - 858568704407910 T^{15} + 4751617930247991 T^{16} - 24574546258776530 T^{17} + 119787351006860687 T^{18} - 540418718234497465 T^{19} + 2281701148163650395 T^{20} - 8739293055216977354 T^{21} + 30852146115352490679 T^{22} - 94629748136574427050 T^{23} +$$$$25\!\cdots\!52$$$$T^{24} -$$$$54\!\cdots\!44$$$$T^{25} +$$$$92\!\cdots\!21$$$$T^{26}$$)($$1 + 5 T + 232 T^{2} + 903 T^{3} + 27991 T^{4} + 86794 T^{5} + 2356178 T^{6} + 6064167 T^{7} + 157081775 T^{8} + 355737636 T^{9} + 8884986125 T^{10} + 18797724102 T^{11} + 439539202569 T^{12} + 884518962553 T^{13} + 19178916375602 T^{14} + 36265277464673 T^{15} + 738865399518489 T^{16} + 1295557942833942 T^{17} + 25106847277566125 T^{18} + 41214411059680836 T^{19} + 746154805611307775 T^{20} + 1181022440778122127 T^{21} + 18813905156499859538 T^{22} + 28414787613789451034 T^{23} +$$$$37\!\cdots\!91$$$$T^{24} +$$$$49\!\cdots\!23$$$$T^{25} +$$$$52\!\cdots\!92$$$$T^{26} +$$$$46\!\cdots\!05$$$$T^{27} +$$$$37\!\cdots\!61$$$$T^{28}$$)($$1 - T + 392 T^{2} - 431 T^{3} + 74963 T^{4} - 84808 T^{5} + 9312788 T^{6} - 10451117 T^{7} + 842827407 T^{8} - 916471376 T^{9} + 58956181431 T^{10} - 60864919040 T^{11} + 3293709367305 T^{12} - 3156265964107 T^{13} + 149454356867042 T^{14} - 129406904528387 T^{15} + 5536725446439705 T^{16} - 4194871085155840 T^{17} + 166596078196643991 T^{18} - 106178891948602576 T^{19} + 4003518040421733087 T^{20} - 2035399702580375077 T^{21} + 74361915854655299348 T^{22} - 27764607092083044488 T^{23} +$$$$10\!\cdots\!63$$$$T^{24} -$$$$23\!\cdots\!71$$$$T^{25} +$$$$88\!\cdots\!52$$$$T^{26} -$$$$92\!\cdots\!21$$$$T^{27} +$$$$37\!\cdots\!61$$$$T^{28}$$)($$1 + 24 T + 430 T^{2} + 4986 T^{3} + 50235 T^{4} + 414972 T^{5} + 3441888 T^{6} + 26808105 T^{7} + 209107874 T^{8} + 1471196358 T^{9} + 9760386156 T^{10} + 62059530618 T^{11} + 405109179442 T^{12} + 2730537791825 T^{13} + 17825882963660 T^{14} + 111952049464825 T^{15} + 680988530642002 T^{16} + 4277204909723178 T^{17} + 27580518544564716 T^{18} + 170447220962915958 T^{19} + 993284199113893634 T^{20} + 5220993023400605505 T^{21} + 27483218327008820448 T^{22} +$$$$13\!\cdots\!92$$$$T^{23} +$$$$67\!\cdots\!35$$$$T^{24} +$$$$27\!\cdots\!26$$$$T^{25} +$$$$97\!\cdots\!30$$$$T^{26} +$$$$22\!\cdots\!04$$$$T^{27} +$$$$37\!\cdots\!61$$$$T^{28}$$)($$1 + T + 274 T^{2} + 411 T^{3} + 39122 T^{4} + 64747 T^{5} + 3941083 T^{6} + 6497047 T^{7} + 311528655 T^{8} + 502102102 T^{9} + 20299643915 T^{10} + 31599706679 T^{11} + 1120377565252 T^{12} + 1656373409302 T^{13} + 53116320707002 T^{14} + 73564007527758 T^{15} + 2177769148987082 T^{16} + 2784363701036662 T^{17} + 77217542174733092 T^{18} + 89293218744957719 T^{19} + 2351839625644666915 T^{20} + 2385037324125214582 T^{21} + 60671536997649560055 T^{22} + 51878434505084905687 T^{23} +$$$$12\!\cdots\!63$$$$T^{24} +$$$$86\!\cdots\!47$$$$T^{25} +$$$$21\!\cdots\!02$$$$T^{26} +$$$$92\!\cdots\!91$$$$T^{27} +$$$$25\!\cdots\!54$$$$T^{28} +$$$$37\!\cdots\!61$$$$T^{29} +$$$$15\!\cdots\!01$$$$T^{30}$$)($$1 - 29 T + 705 T^{2} - 11962 T^{3} + 178582 T^{4} - 2236960 T^{5} + 25459115 T^{6} - 258955312 T^{7} + 2448304670 T^{8} - 21381960159 T^{9} + 176773823974 T^{10} - 1379175637927 T^{11} + 10334227830435 T^{12} - 74086484916755 T^{13} + 514886627051218 T^{14} - 3447544393960184 T^{15} + 22468553587821000 T^{16} - 141349320152367544 T^{17} + 865524420073097458 T^{18} - 5106114626947671355 T^{19} + 29202057968357836035 T^{20} -$$$$15\!\cdots\!27$$$$T^{21} +$$$$83\!\cdots\!34$$$$T^{22} -$$$$41\!\cdots\!79$$$$T^{23} +$$$$19\!\cdots\!70$$$$T^{24} -$$$$84\!\cdots\!32$$$$T^{25} +$$$$34\!\cdots\!15$$$$T^{26} -$$$$12\!\cdots\!60$$$$T^{27} +$$$$40\!\cdots\!42$$$$T^{28} -$$$$11\!\cdots\!02$$$$T^{29} +$$$$26\!\cdots\!05$$$$T^{30} -$$$$45\!\cdots\!29$$$$T^{31} +$$$$63\!\cdots\!41$$$$T^{32}$$)
$43$ ($$1 + 43 T^{2}$$)($$1 + T + 43 T^{2}$$)($$1 - 2 T + 43 T^{2}$$)($$1 + 6 T + 43 T^{2}$$)($$1 - 12 T + 43 T^{2}$$)($$1 - 3 T + 43 T^{2}$$)($$1 - 4 T + 43 T^{2}$$)($$1 + 8 T + 43 T^{2}$$)($$1 + 4 T + 43 T^{2}$$)($$1 + 4 T + 43 T^{2}$$)($$1 + 8 T + 43 T^{2}$$)($$1 + 6 T + 78 T^{2} + 258 T^{3} + 1849 T^{4}$$)($$1 + T + 70 T^{2} + 43 T^{3} + 1849 T^{4}$$)($$1 - 23 T + 350 T^{2} - 3511 T^{3} + 26970 T^{4} - 150973 T^{5} + 647150 T^{6} - 1828661 T^{7} + 3418801 T^{8}$$)($$1 + 22 T + 325 T^{2} + 3220 T^{3} + 24121 T^{4} + 136680 T^{5} + 650694 T^{6} + 3418661 T^{7} + 27979842 T^{8} + 252721320 T^{9} + 1917788347 T^{10} + 11008539220 T^{11} + 47777743975 T^{12} + 139069987078 T^{13} + 271818611107 T^{14}$$)($$1 + 8 T + 252 T^{2} + 1772 T^{3} + 30126 T^{4} + 181972 T^{5} + 2232955 T^{6} + 11553825 T^{7} + 113879774 T^{8} + 496814475 T^{9} + 4128733795 T^{10} + 14468047804 T^{11} + 102994798926 T^{12} + 260498960996 T^{13} + 1592983488348 T^{14} + 2174548888856 T^{15} + 11688200277601 T^{16}$$)($$1 + 4 T + 122 T^{2} + 62 T^{3} + 9102 T^{4} + 2034 T^{5} + 597587 T^{6} + 22235 T^{7} + 28402378 T^{8} + 956105 T^{9} + 1104938363 T^{10} + 161717238 T^{11} + 31117926702 T^{12} + 9114523466 T^{13} + 771206291978 T^{14} + 1087274444428 T^{15} + 11688200277601 T^{16}$$)($$1 + 20 T + 341 T^{2} + 4024 T^{3} + 42622 T^{4} + 368278 T^{5} + 2977167 T^{6} + 21109515 T^{7} + 147645727 T^{8} + 959590918 T^{9} + 6348766261 T^{10} + 39031493235 T^{11} + 236705616669 T^{12} + 1259069194678 T^{13} + 6265793857546 T^{14} + 25437164909176 T^{15} + 92690146387487 T^{16} + 233764005552020 T^{17} + 502592611936843 T^{18}$$)($$1 - 10 T + 145 T^{2} - 644 T^{3} + 6903 T^{4} - 12742 T^{5} + 314959 T^{6} - 735697 T^{7} + 20964427 T^{8} - 69161616 T^{9} + 1102849852 T^{10} - 2973949488 T^{11} + 38763225523 T^{12} - 58493061379 T^{13} + 1076782144159 T^{14} - 1873181580706 T^{15} + 43636369127247 T^{16} - 175051185552908 T^{17} + 1694789040252145 T^{18} - 5025926119368430 T^{19} + 21611482313284249 T^{20}$$)($$1 + 16 T + 327 T^{2} + 3772 T^{3} + 47815 T^{4} + 454124 T^{5} + 4520880 T^{6} + 37033495 T^{7} + 313409409 T^{8} + 2268392124 T^{9} + 16922185190 T^{10} + 109364241354 T^{11} + 727653963170 T^{12} + 4194257037276 T^{13} + 24918241881363 T^{14} + 126610149739495 T^{15} + 664607529789840 T^{16} + 2870682673264076 T^{17} + 12997006890081205 T^{18} + 44087891447110972 T^{19} + 164347784103347661 T^{20} + 345783717012547984 T^{21} + 929293739471222707 T^{22}$$)($$1 + 8 T + 257 T^{2} + 1922 T^{3} + 34431 T^{4} + 229570 T^{5} + 3057642 T^{6} + 18257673 T^{7} + 202337237 T^{8} + 1086725122 T^{9} + 10622872958 T^{10} + 51749930850 T^{11} + 456783537194 T^{12} + 2009354750578 T^{13} + 16087226702159 T^{14} + 62419350710073 T^{15} + 449499189671406 T^{16} + 1451195315158930 T^{17} + 9358986599025117 T^{18} + 22464720933549122 T^{19} + 129166301267768651 T^{20} + 172891858506273992 T^{21} + 929293739471222707 T^{22}$$)($$1 + 17 T + 273 T^{2} + 3734 T^{3} + 41419 T^{4} + 430199 T^{5} + 4079640 T^{6} + 35153006 T^{7} + 287832136 T^{8} + 2188617450 T^{9} + 15647130347 T^{10} + 106084328428 T^{11} + 672826604921 T^{12} + 4046753665050 T^{13} + 22884669636952 T^{14} + 120181132065806 T^{15} + 599741524400520 T^{16} + 2719444062316751 T^{17} + 11258455053440833 T^{18} + 43643739836562134 T^{19} + 137207783058758139 T^{20} + 367395199325832233 T^{21} + 929293739471222707 T^{22}$$)($$1 + 8 T + 243 T^{2} + 1570 T^{3} + 28840 T^{4} + 150146 T^{5} + 2269784 T^{6} + 9907625 T^{7} + 140394002 T^{8} + 545817614 T^{9} + 7474610385 T^{10} + 26919387673 T^{11} + 346179346594 T^{12} + 1157533669939 T^{13} + 13820554601865 T^{14} + 43396321036298 T^{15} + 479979154431602 T^{16} + 1456504525077875 T^{17} + 14348128706811416 T^{18} + 40812477183271622 T^{19} + 337087696006012840 T^{20} + 789070400740843510 T^{21} + 5251590202128072507 T^{22} + 7434349915769781656 T^{23} + 39959630797262576401 T^{24}$$)($$1 + 2 T + 227 T^{2} + 94 T^{3} + 29608 T^{4} - 10088 T^{5} + 2824117 T^{6} - 2157767 T^{7} + 211815474 T^{8} - 212412520 T^{9} + 12970645628 T^{10} - 14056618991 T^{11} + 663393251065 T^{12} - 691184010500 T^{13} + 28525909795795 T^{14} - 25990688514359 T^{15} + 1031257121945396 T^{16} - 726196135788520 T^{17} + 31138663036046982 T^{18} - 13640028582151583 T^{19} + 767647560543667519 T^{20} - 117910564400438888 T^{21} + 14880762054226047544 T^{22} + 2031479337448719406 T^{23} +$$$$21\!\cdots\!89$$$$T^{24} + 79919261594525152802 T^{25} +$$$$17\!\cdots\!43$$$$T^{26}$$)($$1 - 9 T + 381 T^{2} - 3018 T^{3} + 69158 T^{4} - 491152 T^{5} + 8049887 T^{6} - 51841958 T^{7} + 679496277 T^{8} - 3991100381 T^{9} + 44419157527 T^{10} - 238235230232 T^{11} + 2334269136875 T^{12} - 11387991993860 T^{13} + 100373572885625 T^{14} - 440496940698968 T^{15} + 3531633957499189 T^{16} - 13644777973663181 T^{17} + 99891689706066711 T^{18} - 327711837689009942 T^{19} + 2188109103908294909 T^{20} - 5740682942744286352 T^{21} + 34758299856328188194 T^{22} - 65223453621491863482 T^{23} +$$$$35\!\cdots\!67$$$$T^{24} -$$$$35\!\cdots\!09$$$$T^{25} +$$$$17\!\cdots\!43$$$$T^{26}$$)($$1 + 2 T + 364 T^{2} + 680 T^{3} + 66871 T^{4} + 109964 T^{5} + 8178187 T^{6} + 11596709 T^{7} + 742336047 T^{8} + 907283845 T^{9} + 52880438636 T^{10} + 56375649615 T^{11} + 3047263202649 T^{12} + 2889825087241 T^{13} + 144238454924186 T^{14} + 124262478751363 T^{15} + 5634389661698001 T^{16} + 4482258773939805 T^{17} + 180787696489195436 T^{18} + 133378385412503335 T^{19} + 4692575657446527303 T^{20} + 3152201333792046863 T^{21} + 95588287563672889387 T^{22} + 55267093979023003652 T^{23} +$$$$14\!\cdots\!79$$$$T^{24} +$$$$63\!\cdots\!60$$$$T^{25} +$$$$14\!\cdots\!64$$$$T^{26} +$$$$34\!\cdots\!86$$$$T^{27} +$$$$73\!\cdots\!49$$$$T^{28}$$)($$1 - 6 T + 318 T^{2} - 1234 T^{3} + 49771 T^{4} - 123850 T^{5} + 5264265 T^{6} - 7515939 T^{7} + 424310419 T^{8} - 280342639 T^{9} + 27762581682 T^{10} - 4792935707 T^{11} + 1520722018593 T^{12} + 78771451359 T^{13} + 70801844302318 T^{14} + 3387172408437 T^{15} + 2811815012378457 T^{16} - 381071939256449 T^{17} + 94914742017003282 T^{18} - 41212734865901077 T^{19} + 2682220203972307531 T^{20} - 2042972100144934473 T^{21} + 61529783634365228265 T^{22} - 62246094988378005550 T^{23} +$$$$10\!\cdots\!79$$$$T^{24} -$$$$11\!\cdots\!38$$$$T^{25} +$$$$12\!\cdots\!18$$$$T^{26} -$$$$10\!\cdots\!58$$$$T^{27} +$$$$73\!\cdots\!49$$$$T^{28}$$)($$1 + 371 T^{2} + 72 T^{3} + 63145 T^{4} + 33658 T^{5} + 6443937 T^{6} + 6995121 T^{7} + 433134162 T^{8} + 870799568 T^{9} + 20088493843 T^{10} + 72850576834 T^{11} + 701555046604 T^{12} + 4321181093061 T^{13} + 25278722069618 T^{14} + 185810787001623 T^{15} + 1297175281170796 T^{16} + 5792130812340838 T^{17} + 68678562838942243 T^{18} + 128014888656752624 T^{19} + 2737998286926379938 T^{20} + 1901404074745408947 T^{21} + 75318026232243355137 T^{22} + 16916262132570261694 T^{23} +$$$$13\!\cdots\!05$$$$T^{24} + 66909149241928034904 T^{25} +$$$$14\!\cdots\!71$$$$T^{26} +$$$$73\!\cdots\!49$$$$T^{28}$$)($$1 - 10 T + 404 T^{2} - 3980 T^{3} + 82520 T^{4} - 779132 T^{5} + 11211210 T^{6} - 99954811 T^{7} + 1127769859 T^{8} - 9402978727 T^{9} + 88728742215 T^{10} - 686546499866 T^{11} + 5629398959891 T^{12} - 40134130897355 T^{13} + 292917365393374 T^{14} - 1908635853771102 T^{15} + 12595446711915082 T^{16} - 74208008029209395 T^{17} + 447576623104053737 T^{18} - 2347165860288380666 T^{19} + 13043874242375521245 T^{20} - 59439642275390858623 T^{21} +$$$$30\!\cdots\!13$$$$T^{22} -$$$$11\!\cdots\!11$$$$T^{23} +$$$$56\!\cdots\!30$$$$T^{24} -$$$$16\!\cdots\!68$$$$T^{25} +$$$$76\!\cdots\!40$$$$T^{26} -$$$$15\!\cdots\!80$$$$T^{27} +$$$$69\!\cdots\!72$$$$T^{28} -$$$$73\!\cdots\!90$$$$T^{29} +$$$$31\!\cdots\!07$$$$T^{30}$$)($$1 - 30 T + 753 T^{2} - 13538 T^{3} + 211812 T^{4} - 2841218 T^{5} + 34443732 T^{6} - 379159713 T^{7} + 3871789827 T^{8} - 36847112340 T^{9} + 330610251346 T^{10} - 2801607814827 T^{11} + 22585491182096 T^{12} - 173209703194475 T^{13} + 1269592396734257 T^{14} - 8888276249156005 T^{15} + 59596840617230128 T^{16} - 382195878713708215 T^{17} + 2347476341561641193 T^{18} - 13771383871883123825 T^{19} + 77215299838840986896 T^{20} -$$$$41\!\cdots\!61$$$$T^{21} +$$$$20\!\cdots\!54$$$$T^{22} -$$$$10\!\cdots\!80$$$$T^{23} +$$$$45\!\cdots\!27$$$$T^{24} -$$$$19\!\cdots\!59$$$$T^{25} +$$$$74\!\cdots\!68$$$$T^{26} -$$$$26\!\cdots\!26$$$$T^{27} +$$$$84\!\cdots\!12$$$$T^{28} -$$$$23\!\cdots\!34$$$$T^{29} +$$$$55\!\cdots\!97$$$$T^{30} -$$$$95\!\cdots\!10$$$$T^{31} +$$$$13\!\cdots\!01$$$$T^{32}$$)
$47$ ($$1 + 4 T + 47 T^{2}$$)($$1 - 3 T + 47 T^{2}$$)($$1 - 13 T + 47 T^{2}$$)($$1 + 12 T + 47 T^{2}$$)($$1 + 47 T^{2}$$)($$1 + 3 T + 47 T^{2}$$)($$1 + 8 T + 47 T^{2}$$)($$1 + 4 T + 47 T^{2}$$)($$1 - 6 T + 47 T^{2}$$)($$1 - 4 T + 47 T^{2}$$)($$1 - 12 T + 47 T^{2}$$)($$1 + 4 T + 30 T^{2} + 188 T^{3} + 2209 T^{4}$$)($$1 + 9 T + 98 T^{2} + 423 T^{3} + 2209 T^{4}$$)($$1 + T + 103 T^{2} + 97 T^{3} + 6849 T^{4} + 4559 T^{5} + 227527 T^{6} + 103823 T^{7} + 4879681 T^{8}$$)($$1 + 131 T^{2} - 16 T^{3} + 11688 T^{4} + 6954 T^{5} + 704218 T^{6} + 308813 T^{7} + 33098246 T^{8} + 15361386 T^{9} + 1213483224 T^{10} - 78074896 T^{11} + 30044195917 T^{12} + 506623120463 T^{14}$$)($$1 + 12 T + 204 T^{2} + 1420 T^{3} + 16459 T^{4} + 91876 T^{5} + 1020018 T^{6} + 5263987 T^{7} + 53613624 T^{8} + 247407389 T^{9} + 2253219762 T^{10} + 9538841948 T^{11} + 80314669579 T^{12} + 325669909940 T^{13} + 2198959927116 T^{14} + 6079477445556 T^{15} + 23811286661761 T^{16}$$)($$1 + 6 T + 220 T^{2} + 1226 T^{3} + 26865 T^{4} + 133374 T^{5} + 2109734 T^{6} + 9205719 T^{7} + 117697226 T^{8} + 432668793 T^{9} + 4660402406 T^{10} + 13847288802 T^{11} + 131092630065 T^{12} + 281176978582 T^{13} + 2371427372380 T^{14} + 3039738722778 T^{15} + 23811286661761 T^{16}$$)($$1 - 14 T + 269 T^{2} - 1986 T^{3} + 22311 T^{4} - 81366 T^{5} + 835281 T^{6} + 691675 T^{7} + 16401744 T^{8} + 159981022 T^{9} + 770881968 T^{10} + 1527910075 T^{11} + 86721379263 T^{12} - 397040124246 T^{13} + 5116916451177 T^{14} - 21407521643394 T^{15} + 136281619404547 T^{16} - 333358013264654 T^{17} + 1119130473102767 T^{18}$$)($$1 - 28 T + 525 T^{2} - 7082 T^{3} + 79782 T^{4} - 755318 T^{5} + 6407173 T^{6} - 48902745 T^{7} + 353906913 T^{8} - 2447707186 T^{9} + 16907175154 T^{10} - 115042237742 T^{11} + 781780370817 T^{12} - 5077229694135 T^{13} + 31264960351813 T^{14} - 173228411997226 T^{15} + 859987357378278 T^{16} - 3587904939118966 T^{17} + 12500925497424525 T^{18} - 31335653246877476 T^{19} + 52599132235830049 T^{20}$$)($$1 - 28 T + 630 T^{2} - 9315 T^{3} + 118823 T^{4} - 1185566 T^{5} + 10599757 T^{6} - 78252288 T^{7} + 540826070 T^{8} - 3232282877 T^{9} + 20381994018 T^{10} - 126200580680 T^{11} + 957953718846 T^{12} - 7140112875293 T^{13} + 56150185065610 T^{14} - 381846202960128 T^{15} + 2431001343363299 T^{16} - 12779471200741214 T^{17} + 60198479042775049 T^{18} - 221802135254303715 T^{19} + 705052198054743210 T^{20} - 1472775702603241372 T^{21} + 2472159215084012303 T^{22}$$)($$1 - 6 T + 337 T^{2} - 1402 T^{3} + 52230 T^{4} - 144994 T^{5} + 5153116 T^{6} - 9092673 T^{7} + 374217553 T^{8} - 422895210 T^{9} + 21532147431 T^{10} - 18757789270 T^{11} + 1012010929257 T^{12} - 934175518890 T^{13} + 38852389005119 T^{14} - 44369343677313 T^{15} + 1181841425091812 T^{16} - 1562921547413026 T^{17} + 26460925581782490 T^{18} - 33383423899788922 T^{19} + 377146969435632479 T^{20} - 315594793414980294 T^{21} + 2472159215084012303 T^{22}$$)($$1 - 12 T + 484 T^{2} - 4902 T^{3} + 107103 T^{4} - 928970 T^{5} + 14384085 T^{6} - 107628357 T^{7} + 1306986508 T^{8} - 8444435427 T^{9} + 84518211201 T^{10} - 468835705808 T^{11} + 3972355926447 T^{12} - 18653757858243 T^{13} + 135695260220084 T^{14} - 525192048714117 T^{15} + 3298918075013595 T^{16} - 10013567664181130 T^{17} + 54260856070948689 T^{18} - 116722927215952422 T^{19} + 541659148981739228 T^{20} - 631189586829960588 T^{21} + 2472159215084012303 T^{22}$$)($$1 + 16 T + 357 T^{2} + 3968 T^{3} + 54911 T^{4} + 497508 T^{5} + 5443282 T^{6} + 42837179 T^{7} + 403460171 T^{8} + 2847775608 T^{9} + 24127276587 T^{10} + 156134470657 T^{11} + 1220882385238 T^{12} + 7338320120879 T^{13} + 53297153980683 T^{14} + 295664606949384 T^{15} + 1968756930685451 T^{16} + 9824493117615253 T^{17} + 58674308774469778 T^{18} + 252049055415306204 T^{19} + 1307501561883958271 T^{20} + 4440709717271779456 T^{21} + 18777890208191327493 T^{22} + 39554547441344196848 T^{23} +$$$$11\!\cdots\!41$$$$T^{24}$$)($$1 - 5 T + 286 T^{2} - 1338 T^{3} + 39347 T^{4} - 178291 T^{5} + 3533298 T^{6} - 15709377 T^{7} + 237763181 T^{8} - 1033499488 T^{9} + 13212651748 T^{10} - 55950858606 T^{11} + 658244739205 T^{12} - 2721293956630 T^{13} + 30937502742635 T^{14} - 123595446660654 T^{15} + 1371777142432604 T^{16} - 5043147815103328 T^{17} + 54529798410787267 T^{18} - 169334757367440033 T^{19} + 1790050458285676974 T^{20} - 4245338110212030451 T^{21} + 44034426725174573149 T^{22} - 70377638931540605562 T^{23} +$$$$70\!\cdots\!58$$$$T^{24} -$$$$58\!\cdots\!05$$$$T^{25} +$$$$54\!\cdots\!27$$$$T^{26}$$)($$1 + 8 T + 375 T^{2} + 2199 T^{3} + 62628 T^{4} + 257805 T^{5} + 6346256 T^{6} + 15847093 T^{7} + 448993624 T^{8} + 394121817 T^{9} + 24578534949 T^{10} - 14898890565 T^{11} + 1174103421532 T^{12} - 1530957472620 T^{13} + 55182860812004 T^{14} - 32911649258085 T^{15} + 2551817234010027 T^{16} + 1923188742100377 T^{17} + 102974445839235368 T^{18} + 170819227785688597 T^{19} + 3215160017977036528 T^{20} + 6138668757835294605 T^{21} + 70088903269480091676 T^{22} +$$$$11\!\cdots\!51$$$$T^{23} +$$$$92\!\cdots\!25$$$$T^{24} +$$$$92\!\cdots\!28$$$$T^{25} +$$$$54\!\cdots\!27$$$$T^{26}$$)($$1 + 11 T + 397 T^{2} + 4309 T^{3} + 82643 T^{4} + 827019 T^{5} + 11547735 T^{6} + 104704066 T^{7} + 1188810483 T^{8} + 9771070409 T^{9} + 95017480563 T^{10} + 708893639374 T^{11} + 6077161764777 T^{12} + 41137288674466 T^{13} + 315981100890954 T^{14} + 1933452567699902 T^{15} + 13424450338392393 T^{16} + 73599464320726802 T^{17} + 463654994571140403 T^{18} + 2240946211349597863 T^{19} + 12814444181629493907 T^{20} + 53045500642083902558 T^{21} +$$$$27\!\cdots\!35$$$$T^{22} +$$$$92\!\cdots\!73$$$$T^{23} +$$$$43\!\cdots\!07$$$$T^{24} +$$$$10\!\cdots\!27$$$$T^{25} +$$$$46\!\cdots\!77$$$$T^{26} +$$$$60\!\cdots\!97$$$$T^{27} +$$$$25\!\cdots\!69$$$$T^{28}$$)($$1 + 13 T + 419 T^{2} + 4853 T^{3} + 89575 T^{4} + 923795 T^{5} + 12655911 T^{6} + 117246364 T^{7} + 1313017147 T^{8} + 10991750001 T^{9} + 105566329709 T^{10} + 801112719728 T^{11} + 6777279818617 T^{12} + 46613745020802 T^{13} + 352861467105682 T^{14} + 2190846015977694 T^{15} + 14971011119324953 T^{16} + 83173925900320144 T^{17} + 515130013320742829 T^{18} + 2520902980921595007 T^{19} + 14153294558182246363 T^{20} + 59399718792620746532 T^{21} +$$$$30\!\cdots\!71$$$$T^{22} +$$$$10\!\cdots\!65$$$$T^{23} +$$$$47\!\cdots\!75$$$$T^{24} +$$$$11\!\cdots\!59$$$$T^{25} +$$$$48\!\cdots\!79$$$$T^{26} +$$$$70\!\cdots\!51$$$$T^{27} +$$$$25\!\cdots\!69$$$$T^{28}$$)($$1 + 32 T + 937 T^{2} + 18332 T^{3} + 325258 T^{4} + 4713494 T^{5} + 62869397 T^{6} + 732375533 T^{7} + 7957211532 T^{8} + 77953219786 T^{9} + 719664123905 T^{10} + 6098481944010 T^{11} + 49065402157493 T^{12} + 365915276110075 T^{13} + 2601395262021930 T^{14} + 17198017977173525 T^{15} + 108385473365902037 T^{16} + 633162690872950230 T^{17} + 3511731351800874305 T^{18} + 17878181737492708502 T^{19} + 85772496521829974028 T^{20} +$$$$37\!\cdots\!79$$$$T^{21} +$$$$14\!\cdots\!17$$$$T^{22} +$$$$52\!\cdots\!98$$$$T^{23} +$$$$17\!\cdots\!42$$$$T^{24} +$$$$45\!\cdots\!96$$$$T^{25} +$$$$10\!\cdots\!17$$$$T^{26} +$$$$17\!\cdots\!64$$$$T^{27} +$$$$25\!\cdots\!69$$$$T^{28}$$)($$1 + 3 T + 235 T^{2} + 855 T^{3} + 31094 T^{4} + 103386 T^{5} + 2822261 T^{6} + 7409638 T^{7} + 190245714 T^{8} + 275690210 T^{9} + 10065437023 T^{10} - 2792300935 T^{11} + 442737001354 T^{12} - 1062516621220 T^{13} + 18503391215176 T^{14} - 70326469147170 T^{15} + 869659387113272 T^{16} - 2347099216274980 T^{17} + 45966283691576342 T^{18} - 13625537818801735 T^{19} + 2308457724497994161 T^{20} + 2971724137687229090 T^{21} + 96382877281391445582 T^{22} +$$$$17\!\cdots\!18$$$$T^{23} +$$$$31\!\cdots\!87$$$$T^{24} +$$$$54\!\cdots\!14$$$$T^{25} +$$$$76\!\cdots\!82$$$$T^{26} +$$$$99\!\cdots\!55$$$$T^{27} +$$$$12\!\cdots\!45$$$$T^{28} +$$$$77\!\cdots\!07$$$$T^{29} +$$$$12\!\cdots\!43$$$$T^{30}$$)($$1 + T + 198 T^{2} + 582 T^{3} + 20803 T^{4} + 53517 T^{5} + 1765785 T^{6} + 1234928 T^{7} + 113994985 T^{8} - 67893476 T^{9} + 5834256239 T^{10} - 14609562287 T^{11} + 297660346061 T^{12} - 1395538072257 T^{13} + 13891813886354 T^{14} - 77951950606532 T^{15} + 604027334011596 T^{16} - 3663741678507004 T^{17} + 30687016874955986 T^{18} - 144888949275938511 T^{19} + 1452487535127286541 T^{20} - 3350630164978951009 T^{21} + 62888704284742687631 T^{22} - 34396404670199799388 T^{23} +$$$$27\!\cdots\!85$$$$T^{24} +$$$$13\!\cdots\!76$$$$T^{25} +$$$$92\!\cdots\!65$$$$T^{26} +$$$$13\!\cdots\!51$$$$T^{27} +$$$$24\!\cdots\!23$$$$T^{28} +$$$$31\!\cdots\!14$$$$T^{29} +$$$$50\!\cdots\!62$$$$T^{30} +$$$$12\!\cdots\!43$$$$T^{31} +$$$$56\!\cdots\!21$$$$T^{32}$$)
$53$ ($$1 + 9 T + 53 T^{2}$$)($$1 - 2 T + 53 T^{2}$$)($$1 - 2 T + 53 T^{2}$$)($$1 + 9 T + 53 T^{2}$$)($$1 + 6 T + 53 T^{2}$$)($$1 + 6 T + 53 T^{2}$$)($$1 - 2 T + 53 T^{2}$$)($$1 + T + 53 T^{2}$$)($$1 + 6 T + 53 T^{2}$$)($$1 - 6 T + 53 T^{2}$$)($$1 - 9 T + 53 T^{2}$$)($$1 - 9 T + 122 T^{2} - 477 T^{3} + 2809 T^{4}$$)($$1 - 3 T + 92 T^{2} - 159 T^{3} + 2809 T^{4}$$)($$1 - 18 T + 176 T^{2} - 1166 T^{3} + 8190 T^{4} - 61798 T^{5} + 494384 T^{6} - 2679786 T^{7} + 7890481 T^{8}$$)($$1 - 2 T + 137 T^{2} + 393 T^{3} + 9678 T^{4} + 48589 T^{5} + 742820 T^{6} + 2496473 T^{7} + 39369460 T^{8} + 136486501 T^{9} + 1440831606 T^{10} + 3100959033 T^{11} + 57292782541 T^{12} - 44328722258 T^{13} + 1174711139837 T^{14}$$)($$1 + 25 T + 540 T^{2} + 7866 T^{3} + 101736 T^{4} + 1073772 T^{5} + 10369999 T^{6} + 86610728 T^{7} + 672940003 T^{8} + 4590368584 T^{9} + 29129327191 T^{10} + 159859954044 T^{11} + 802745975016 T^{12} + 3289525747938 T^{13} + 11968755009660 T^{14} + 29367778495925 T^{15} + 62259690411361 T^{16}$$)($$1 + 4 T + 360 T^{2} + 1339 T^{3} + 58863 T^{4} + 199300 T^{5} + 5761338 T^{6} + 17051412 T^{7} + 371419976 T^{8} + 903724836 T^{9} + 16183598442 T^{10} + 29671186100 T^{11} + 464457383103 T^{12} + 559963765127 T^{13} + 7979170006440 T^{14} + 4698844559348 T^{15} + 62259690411361 T^{16}$$)($$1 + 3 T + 319 T^{2} + 565 T^{3} + 47654 T^{4} + 34022 T^{5} + 4489511 T^{6} - 127050 T^{7} + 306209494 T^{8} - 83666246 T^{9} + 16229103182 T^{10} - 356883450 T^{11} + 668384929147 T^{12} + 268449944582 T^{13} + 19928688023422 T^{14} + 12522864037885 T^{15} + 374732853608003 T^{16} + 186779071234083 T^{17} + 3299763591802133 T^{18}$$)($$1 - 6 T + 148 T^{2} - 577 T^{3} + 18122 T^{4} - 88084 T^{5} + 1612384 T^{6} - 6355685 T^{7} + 109954477 T^{8} - 454117300 T^{9} + 6685717000 T^{10} - 24068216900 T^{11} + 308862125893 T^{12} - 946215315745 T^{13} + 12722485316704 T^{14} - 36836331805412 T^{15} + 401662552379738 T^{16} - 677808327685949 T^{17} + 9214434180881428 T^{18} - 19798581550812798 T^{19} + 174887470365513049 T^{20}$$)($$1 + 5 T + 309 T^{2} + 1159 T^{3} + 43697 T^{4} + 117187 T^{5} + 4046050 T^{6} + 8077905 T^{7} + 300894810 T^{8} + 528392612 T^{9} + 19207925397 T^{10} + 31410609584 T^{11} + 1018020046041 T^{12} + 1484254847108 T^{13} + 44796316628370 T^{14} + 63738555922305 T^{15} + 1692039874452650 T^{16} + 2597374987624123 T^{17} + 51331352677457389 T^{18} + 72158981186767399 T^{19} + 1019626949866859097 T^{20} + 874437351827565245 T^{21} + 9269035929372191597 T^{22}$$)($$1 + 25 T + 619 T^{2} + 9855 T^{3} + 149099 T^{4} + 1801485 T^{5} + 20817330 T^{6} + 206810763 T^{7} + 1981169116 T^{8} + 16841786942 T^{9} + 138651743555 T^{10} + 1025154356308 T^{11} + 7348542408415 T^{12} + 47308579520078 T^{13} + 294950514482732 T^{14} + 1631836396047003 T^{15} + 8705713582293690 T^{16} + 39928764108476565 T^{17} + 175148256238556863 T^{18} + 613569249003962655 T^{19} + 2042553663325520327 T^{20} + 4372186759137826225 T^{21} + 9269035929372191597 T^{22}$$)($$1 - 11 T + 285 T^{2} - 1907 T^{3} + 32259 T^{4} - 119589 T^{5} + 2261632 T^{6} - 4551641 T^{7} + 158350826 T^{8} - 384157832 T^{9} + 11433757765 T^{10} - 29678394008 T^{11} + 605989161545 T^{12} - 1079099350088 T^{13} + 23574795922402 T^{14} - 35914636829321 T^{15} + 945804309224576 T^{16} - 2650613783055981 T^{17} + 37895006660001783 T^{18} - 118729229614465427 T^{19} + 940432623663607905 T^{20} - 1923762174020643539 T^{21} + 9269035929372191597 T^{22}$$)($$1 + 9 T + 364 T^{2} + 2648 T^{3} + 63946 T^{4} + 380636 T^{5} + 7277843 T^{6} + 35772976 T^{7} + 611076458 T^{8} + 2519222669 T^{9} + 41087609373 T^{10} + 147982600782 T^{11} + 2340259069438 T^{12} + 7843077841446 T^{13} + 115415094728757 T^{14} + 375054313292713 T^{15} + 4821687181396298 T^{16} + 14960097334397168 T^{17} + 161308740492164747 T^{18} + 447137349422996332 T^{19} + 3981258163044890506 T^{20} + 8737773991092048184 T^{21} + 63659039213046749836 T^{22} + 83421323364349724373 T^{23} +$$$$49\!\cdots\!41$$$$T^{24}$$)($$1 - 21 T + 589 T^{2} - 8383 T^{3} + 136294 T^{4} - 1463302 T^{5} + 17488039 T^{6} - 148771630 T^{7} + 1441224347 T^{8} - 10024221099 T^{9} + 85365669693 T^{10} - 512392979211 T^{11} + 4298837598977 T^{12} - 25283227199172 T^{13} + 227838392745781 T^{14} - 1439311878603699 T^{15} + 12708984806884761 T^{16} - 79095926121458619 T^{17} + 602713526317268071 T^{18} - 3297428133069970270 T^{19} + 20543394227203909643 T^{20} - 91104729498325374022 T^{21} +$$$$44\!\cdots\!02$$$$T^{22} -$$$$14\!\cdots\!67$$$$T^{23} +$$$$54\!\cdots\!33$$$$T^{24} -$$$$10\!\cdots\!61$$$$T^{25} +$$$$26\!\cdots\!73$$$$T^{26}$$)($$1 - 32 T + 703 T^{2} - 11193 T^{3} + 150665 T^{4} - 1696185 T^{5} + 16968079 T^{6} - 148721494 T^{7} + 1192804159 T^{8} - 8603867786 T^{9} + 58893158913 T^{10} - 379379490929 T^{11} + 2523907028612 T^{12} - 17333659447546 T^{13} + 133767072516436 T^{14} - 1065676990019561 T^{15} + 8767836819490701 T^{16} - 67888655291945066 T^{17} + 498825323325455387 T^{18} - 3296316900660406726 T^{19} + 19932591422934263123 T^{20} -$$$$10\!\cdots\!85$$$$T^{21} +$$$$49\!\cdots\!45$$$$T^{22} -$$$$19\!\cdots\!57$$$$T^{23} +$$$$65\!\cdots\!91$$$$T^{24} -$$$$15\!\cdots\!12$$$$T^{25} +$$$$26\!\cdots\!73$$$$T^{26}$$)($$1 - 6 T + 412 T^{2} - 1749 T^{3} + 83252 T^{4} - 247756 T^{5} + 11201644 T^{6} - 22303687 T^{7} + 1133664124 T^{8} - 1409415786 T^{9} + 92045778336 T^{10} - 67796356263 T^{11} + 6221456621063 T^{12} - 2954360400877 T^{13} + 356868631966448 T^{14} - 156581101246481 T^{15} + 17476071648565967 T^{16} - 10093318131366651 T^{17} + 726285465090419616 T^{18} - 589411329468252498 T^{19} + 25126941043327435996 T^{20} - 26200389578337679019 T^{21} +$$$$69\!\cdots\!84$$$$T^{22} -$$$$81\!\cdots\!48$$$$T^{23} +$$$$14\!\cdots\!48$$$$T^{24} -$$$$16\!\cdots\!53$$$$T^{25} +$$$$20\!\cdots\!92$$$$T^{26} -$$$$15\!\cdots\!38$$$$T^{27} +$$$$13\!\cdots\!69$$$$T^{28}$$)($$1 + 27 T + 770 T^{2} + 14162 T^{3} + 250695 T^{4} + 3591117 T^{5} + 48939583 T^{6} + 581612670 T^{7} + 6580518292 T^{8} + 67135844393 T^{9} + 653741569860 T^{10} + 5837714316066 T^{11} + 49860139272540 T^{12} + 393743995952773 T^{13} + 2977411680612566 T^{14} + 20868431785496969 T^{15} + 140057131216564860 T^{16} + 869101394232957882 T^{17} + 5158335435890502660 T^{18} + 28075907543901920749 T^{19} +$$$$14\!\cdots\!68$$$$T^{20} +$$$$68\!\cdots\!90$$$$T^{21} +$$$$30\!\cdots\!63$$$$T^{22} +$$$$11\!\cdots\!61$$$$T^{23} +$$$$43\!\cdots\!55$$$$T^{24} +$$$$13\!\cdots\!14$$$$T^{25} +$$$$37\!\cdots\!70$$$$T^{26} +$$$$70\!\cdots\!71$$$$T^{27} +$$$$13\!\cdots\!69$$$$T^{28}$$)($$1 + 5 T + 310 T^{2} + 514 T^{3} + 45257 T^{4} - 53879 T^{5} + 4716903 T^{6} - 15081766 T^{7} + 425253352 T^{8} - 1670614529 T^{9} + 33658762096 T^{10} - 134303865386 T^{11} + 2251304821622 T^{12} - 8826593113975 T^{13} + 128261303595494 T^{14} - 467809435040675 T^{15} + 6323915243936198 T^{16} - 19994756567071522 T^{17} + 265583822802008176 T^{18} - 698643466568117797 T^{19} + 9425468865045754408 T^{20} - 17716718528614912142 T^{21} +$$$$29\!\cdots\!83$$$$T^{22} -$$$$17\!\cdots\!07$$$$T^{23} +$$$$79\!\cdots\!93$$$$T^{24} +$$$$47\!\cdots\!58$$$$T^{25} +$$$$15\!\cdots\!10$$$$T^{26} +$$$$13\!\cdots\!65$$$$T^{27} +$$$$13\!\cdots\!69$$$$T^{28}$$)($$1 - 13 T + 583 T^{2} - 6905 T^{3} + 167825 T^{4} - 1800869 T^{5} + 31358538 T^{6} - 305078001 T^{7} + 4237425741 T^{8} - 37424788657 T^{9} + 437822971446 T^{10} - 3511297865535 T^{11} + 35696212815386 T^{12} - 259551311750413 T^{13} + 2337210583998580 T^{14} - 15345611632581678 T^{15} + 123872160951924740 T^{16} - 729079634706910117 T^{17} + 5314345075316221522 T^{18} - 27705829093344472335 T^{19} +$$$$18\!\cdots\!78$$$$T^{20} -$$$$82\!\cdots\!53$$$$T^{21} +$$$$49\!\cdots\!17$$$$T^{22} -$$$$18\!\cdots\!61$$$$T^{23} +$$$$10\!\cdots\!54$$$$T^{24} -$$$$31\!\cdots\!81$$$$T^{25} +$$$$15\!\cdots\!25$$$$T^{26} -$$$$33\!\cdots\!05$$$$T^{27} +$$$$15\!\cdots\!59$$$$T^{28} -$$$$17\!\cdots\!97$$$$T^{29} +$$$$73\!\cdots\!57$$$$T^{30}$$)($$1 - 12 T + 568 T^{2} - 5149 T^{3} + 145525 T^{4} - 1046110 T^{5} + 23545152 T^{6} - 139497358 T^{7} + 2803144996 T^{8} - 14169466826 T^{9} + 266231223656 T^{10} - 1181358941884 T^{11} + 20997704216835 T^{12} - 83575642193485 T^{13} + 1402678955948192 T^{14} - 5096652195214124 T^{15} + 80205921351636774 T^{16} - 270122566346348572 T^{17} + 3940125187258471328 T^{18} - 12442490882839466345 T^{19} +$$$$16\!\cdots\!35$$$$T^{20} -$$$$49\!\cdots\!12$$$$T^{21} +$$$$59\!\cdots\!24$$$$T^{22} -$$$$16\!\cdots\!62$$$$T^{23} +$$$$17\!\cdots\!56$$$$T^{24} -$$$$46\!\cdots\!14$$$$T^{25} +$$$$41\!\cdots\!48$$$$T^{26} -$$$$96\!\cdots\!70$$$$T^{27} +$$$$71\!\cdots\!25$$$$T^{28} -$$$$13\!\cdots\!77$$$$T^{29} +$$$$78\!\cdots\!92$$$$T^{30} -$$$$87\!\cdots\!84$$$$T^{31} +$$$$38\!\cdots\!21$$$$T^{32}$$)
$59$ ($$1 + 2 T + 59 T^{2}$$)($$1 - 8 T + 59 T^{2}$$)($$1 + 5 T + 59 T^{2}$$)($$1 + 59 T^{2}$$)($$1 + 12 T + 59 T^{2}$$)($$1 + 59 T^{2}$$)($$1 - 4 T + 59 T^{2}$$)($$1 + 6 T + 59 T^{2}$$)($$1 - 12 T + 59 T^{2}$$)($$1 - 12 T + 59 T^{2}$$)($$1 + 6 T + 59 T^{2}$$)($$( 1 + 8 T + 59 T^{2} )^{2}$$)($$1 + 2 T + 54 T^{2} + 118 T^{3} + 3481 T^{4}$$)($$1 - 20 T + 349 T^{2} - 3763 T^{3} + 34340 T^{4} - 222017 T^{5} + 1214869 T^{6} - 4107580 T^{7} + 12117361 T^{8}$$)($$1 + 3 T + 210 T^{2} + 539 T^{3} + 25292 T^{4} + 53419 T^{5} + 2065249 T^{6} + 3896781 T^{7} + 121849691 T^{8} + 185951539 T^{9} + 5194445668 T^{10} + 6531257579 T^{11} + 150134102790 T^{12} + 126541600923 T^{13} + 2488651484819 T^{14}$$)($$1 + 9 T + 297 T^{2} + 2594 T^{3} + 43882 T^{4} + 347012 T^{5} + 4256737 T^{6} + 29163852 T^{7} + 294660638 T^{8} + 1720667268 T^{9} + 14817701497 T^{10} + 71268977548 T^{11} + 531734035402 T^{12} + 1854513631606 T^{13} + 12527618491377 T^{14} + 22397863363371 T^{15} + 146830437604321 T^{16}$$)($$1 + 19 T + 429 T^{2} + 5392 T^{3} + 72424 T^{4} + 688510 T^{5} + 7027583 T^{6} + 55252980 T^{7} + 476866142 T^{8} + 3259925820 T^{9} + 24463016423 T^{10} + 141405495290 T^{11} + 877587753064 T^{12} + 3854871820208 T^{13} + 18095448931989 T^{14} + 47284378211561 T^{15} + 146830437604321 T^{16}$$)($$1 + 9 T + 280 T^{2} + 2715 T^{3} + 43245 T^{4} + 413654 T^{5} + 4593623 T^{6} + 40696966 T^{7} + 359358817 T^{8} + 2826164840 T^{9} + 21202170203 T^{10} + 141666138646 T^{11} + 943433698117 T^{12} + 5012394847094 T^{13} + 30916901310255 T^{14} + 114520148835315 T^{15} + 696822415749320 T^{16} + 1321473938438889 T^{17} + 8662995818654939 T^{18}$$)($$1 - 7 T + 355 T^{2} - 1808 T^{3} + 57695 T^{4} - 208921 T^{5} + 6009928 T^{6} - 15359228 T^{7} + 473347084 T^{8} - 921913776 T^{9} + 30539394946 T^{10} - 54392912784 T^{11} + 1647721199404 T^{12} - 3154462887412 T^{13} + 72824467160008 T^{14} - 149362699471379 T^{15} + 2433605888417495 T^{16} - 4499481884552752 T^{17} + 52124805349533955 T^{18} - 60640970730584573 T^{19} + 511116753300641401 T^{20}$$)($$1 - 31 T + 723 T^{2} - 10713 T^{3} + 133295 T^{4} - 1205535 T^{5} + 9537430 T^{6} - 51662113 T^{7} + 255799519 T^{8} - 309374757 T^{9} - 318199339 T^{10} + 43218367858 T^{11} - 18773761001 T^{12} - 1076933529117 T^{13} + 52535849412701 T^{14} - 626008473243793 T^{15} + 6818540457011570 T^{16} - 50850109622902935 T^{17} + 331724799668948605 T^{18} - 1572994478055090873 T^{19} + 6263345976887520897 T^{20} - 15844619352319883431 T^{21} + 30155888444737842659 T^{22}$$)($$1 - 7 T + 512 T^{2} - 2885 T^{3} + 122284 T^{4} - 568155 T^{5} + 18296575 T^{6} - 71677749 T^{7} + 1924958012 T^{8} - 6476214306 T^{9} + 150095875310 T^{10} - 438638498468 T^{11} + 8855656643290 T^{12} - 22543701999186 T^{13} + 395345951546548 T^{14} - 868545160300389 T^{15} + 13080666055975925 T^{16} - 23965081090802355 T^{17} + 304322258169606596 T^{18} - 423605812488466085 T^{19} + 4435453859151328768 T^{20} - 3577817273104489807 T^{21} + 30155888444737842659 T^{22}$$)($$1 + 48 T + 1321 T^{2} + 26714 T^{3} + 438328 T^{4} + 6117534 T^{5} + 74923400 T^{6} + 822254899 T^{7} + 8213126910 T^{8} + 75493098346 T^{9} + 643807800102 T^{10} + 5117654595910 T^{11} + 37984660206018 T^{12} + 262791475342426 T^{13} + 1686803791648890 T^{14} + 9963559445201539 T^{15} + 53564559223696600 T^{16} + 258040848686961294 T^{17} + 1090845628037742632 T^{18} + 3922428310161831194 T^{19} + 11443817476443174419 T^{20} + 24533604158430787248 T^{21} + 30155888444737842659 T^{22}$$)($$1 + 29 T + 751 T^{2} + 13806 T^{3} + 226698 T^{4} + 3155964 T^{5} + 40064037 T^{6} + 456699304 T^{7} + 4815443937 T^{8} + 46780459281 T^{9} + 424380475788 T^{10} + 3590840392348 T^{11} + 28503939680408 T^{12} + 211859583148532 T^{13} + 1477268436218028 T^{14} + 9607723946672499 T^{15} + 58350472559890257 T^{16} + 326505429765987896 T^{17} + 1689922460472768717 T^{18} + 7854094494635310516 T^{19} + 33286166544024362058 T^{20} +$$$$11\!\cdots\!34$$$$T^{21} +$$$$38\!\cdots\!51$$$$T^{22} +$$$$87\!\cdots\!11$$$$T^{23} +$$$$17\!\cdots\!81$$$$T^{24}$$)($$1 - 22 T + 600 T^{2} - 9425 T^{3} + 151882 T^{4} - 1899182 T^{5} + 23244267 T^{6} - 248040679 T^{7} + 2554423688 T^{8} - 24346566537 T^{9} + 221972413919 T^{10} - 1927189113375 T^{11} + 15853218736929 T^{12} - 125386473045648 T^{13} + 935339905478811 T^{14} - 6708545303658375 T^{15} + 45588472398270301 T^{16} - 295016135839348857 T^{17} + 1826219564492394712 T^{18} - 10462488204895982239 T^{19} + 57846879583079282673 T^{20} -$$$$27\!\cdots\!22$$$$T^{21} +$$$$13\!\cdots\!98$$$$T^{22} -$$$$48\!\cdots\!25$$$$T^{23} +$$$$18\!\cdots\!00$$$$T^{24} -$$$$39\!\cdots\!82$$$$T^{25} +$$$$10\!\cdots\!79$$$$T^{26}$$)($$1 - 12 T + 492 T^{2} - 5819 T^{3} + 123502 T^{4} - 1361556 T^{5} + 20687717 T^{6} - 206164863 T^{7} + 2540047898 T^{8} - 22702133281 T^{9} + 239075358515 T^{10} - 1918882189879 T^{11} + 17700735919831 T^{12} - 127370740797940 T^{13} + 1044343419270029 T^{14} - 6679628902968799 T^{15} + 49101058056452185 T^{16} - 275089944435991441 T^{17} + 1815941962904073502 T^{18} - 8696143939363656183 T^{19} + 51484517629565268223 T^{20} -$$$$19\!\cdots\!76$$$$T^{21} +$$$$10\!\cdots\!78$$$$T^{22} -$$$$29\!\cdots\!19$$$$T^{23} +$$$$14\!\cdots\!28$$$$T^{24} -$$$$21\!\cdots\!72$$$$T^{25} +$$$$10\!\cdots\!79$$$$T^{26}$$)($$1 + 4 T + 435 T^{2} + 547 T^{3} + 87910 T^{4} - 121965 T^{5} + 11584809 T^{6} - 43984765 T^{7} + 1192198149 T^{8} - 6391994138 T^{9} + 105987857061 T^{10} - 600490468346 T^{11} + 8219291912012 T^{12} - 42863794863453 T^{13} + 534923792078606 T^{14} - 2528963896943727 T^{15} + 28611355145713772 T^{16} - 123328131898433134 T^{17} + 1284293125624536021 T^{18} - 4569791928321759262 T^{19} + 50287554130632430509 T^{20} -$$$$10\!\cdots\!35$$$$T^{21} +$$$$17\!\cdots\!89$$$$T^{22} -$$$$10\!\cdots\!35$$$$T^{23} +$$$$44\!\cdots\!10$$$$T^{24} +$$$$16\!\cdots\!73$$$$T^{25} +$$$$77\!\cdots\!35$$$$T^{26} +$$$$41\!\cdots\!16$$$$T^{27} +$$$$61\!\cdots\!61$$$$T^{28}$$)($$1 + 6 T + 525 T^{2} + 3815 T^{3} + 139996 T^{4} + 1108393 T^{5} + 24939893 T^{6} + 202044681 T^{7} + 3281310437 T^{8} + 26097232160 T^{9} + 334899389329 T^{10} + 2532993097652 T^{11} + 27215924996070 T^{12} + 190432727322865 T^{13} + 1784179620381802 T^{14} + 11235530912049035 T^{15} + 94738634911319670 T^{16} + 520223589402670108 T^{17} + 4058096799179040769 T^{18} + 18657545407828255840 T^{19} +$$$$13\!\cdots\!17$$$$T^{20} +$$$$50\!\cdots\!39$$$$T^{21} +$$$$36\!\cdots\!53$$$$T^{22} +$$$$96\!\cdots\!27$$$$T^{23} +$$$$71\!\cdots\!96$$$$T^{24} +$$$$11\!\cdots\!85$$$$T^{25} +$$$$93\!\cdots\!25$$$$T^{26} +$$$$62\!\cdots\!74$$$$T^{27} +$$$$61\!\cdots\!61$$$$T^{28}$$)($$1 + 13 T + 295 T^{2} + 2438 T^{3} + 43865 T^{4} + 332795 T^{5} + 5032470 T^{6} + 32139538 T^{7} + 443875251 T^{8} + 2666335917 T^{9} + 34772734577 T^{10} + 188346686888 T^{11} + 2323971058803 T^{12} + 12131936012011 T^{13} + 145893820387140 T^{14} + 715784224708649 T^{15} + 8089743255693243 T^{16} + 38682454206370552 T^{17} + 421353777826691297 T^{18} + 1906228336359747183 T^{19} + 18722894957212818891 T^{20} + 79984108965096673622 T^{21} +$$$$73\!\cdots\!70$$$$T^{22} +$$$$28\!\cdots\!05$$$$T^{23} +$$$$22\!\cdots\!65$$$$T^{24} +$$$$73\!\cdots\!42$$$$T^{25} +$$$$52\!\cdots\!95$$$$T^{26} +$$$$13\!\cdots\!27$$$$T^{27} +$$$$61\!\cdots\!61$$$$T^{28}$$)($$1 - 28 T + 928 T^{2} - 16863 T^{3} + 327017 T^{4} - 4457648 T^{5} + 64017165 T^{6} - 701394844 T^{7} + 8203485572 T^{8} - 75531633997 T^{9} + 764634024596 T^{10} - 6152604967098 T^{11} + 56753724151169 T^{12} - 416284794875227 T^{13} + 3649391031165450 T^{14} - 25404790897055438 T^{15} + 215314070838761550 T^{16} - 1449087370960665187 T^{17} + 11656023112442938051 T^{18} - 74553335476719588378 T^{19} +$$$$54\!\cdots\!04$$$$T^{20} -$$$$31\!\cdots\!77$$$$T^{21} +$$$$20\!\cdots\!68$$$$T^{22} -$$$$10\!\cdots\!24$$$$T^{23} +$$$$55\!\cdots\!35$$$$T^{24} -$$$$22\!\cdots\!48$$$$T^{25} +$$$$98\!\cdots\!03$$$$T^{26} -$$$$30\!\cdots\!03$$$$T^{27} +$$$$97\!\cdots\!12$$$$T^{28} -$$$$17\!\cdots\!08$$$$T^{29} +$$$$36\!\cdots\!99$$$$T^{30}$$)($$1 - 38 T + 1095 T^{2} - 23297 T^{3} + 424605 T^{4} - 6672795 T^{5} + 94580432 T^{6} - 1217058846 T^{7} + 14511574567 T^{8} - 161041405813 T^{9} + 1682485451586 T^{10} - 16594154775321 T^{11} + 155630262017655 T^{12} - 1389923566921313 T^{13} + 11876680328710591 T^{14} - 97108684461423523 T^{15} + 761932837815421832 T^{16} - 5729412383223987857 T^{17} + 41342724224241567271 T^{18} -$$$$28\!\cdots\!27$$$$T^{19} +$$$$18\!\cdots\!55$$$$T^{20} -$$$$11\!\cdots\!79$$$$T^{21} +$$$$70\!\cdots\!26$$$$T^{22} -$$$$40\!\cdots\!47$$$$T^{23} +$$$$21\!\cdots\!07$$$$T^{24} -$$$$10\!\cdots\!94$$$$T^{25} +$$$$48\!\cdots\!32$$$$T^{26} -$$$$20\!\cdots\!05$$$$T^{27} +$$$$75\!\cdots\!05$$$$T^{28} -$$$$24\!\cdots\!63$$$$T^{29} +$$$$67\!\cdots\!95$$$$T^{30} -$$$$13\!\cdots\!62$$$$T^{31} +$$$$21\!\cdots\!41$$$$T^{32}$$)
$61$ ($$1 - 6 T + 61 T^{2}$$)($$1 - T + 61 T^{2}$$)($$1 - 4 T + 61 T^{2}$$)($$1 + 8 T + 61 T^{2}$$)($$1 + 2 T + 61 T^{2}$$)($$1 - 13 T + 61 T^{2}$$)($$1 - 14 T + 61 T^{2}$$)($$1 - 2 T + 61 T^{2}$$)($$1 - 2 T + 61 T^{2}$$)($$1 - 14 T + 61 T^{2}$$)($$1 - 6 T + 61 T^{2}$$)($$1 - 14 T + 154 T^{2} - 854 T^{3} + 3721 T^{4}$$)($$1 + 13 T + 148 T^{2} + 793 T^{3} + 3721 T^{4}$$)($$1 + 9 T + 222 T^{2} + 1439 T^{3} + 19410 T^{4} + 87779 T^{5} + 826062 T^{6} + 2042829 T^{7} + 13845841 T^{8}$$)($$1 + 6 T + 279 T^{2} + 1912 T^{3} + 39211 T^{4} + 258784 T^{5} + 3552046 T^{6} + 20060339 T^{7} + 216674806 T^{8} + 962935264 T^{9} + 8900151991 T^{10} + 26473247992 T^{11} + 235642367979 T^{12} + 309122246166 T^{13} + 3142742836021 T^{14}$$)($$1 + 2 T + 328 T^{2} - 224 T^{3} + 45968 T^{4} - 156822 T^{5} + 3882665 T^{6} - 21401799 T^{7} + 252725776 T^{8} - 1305509739 T^{9} + 14447396465 T^{10} - 35595614382 T^{11} + 636465619088 T^{12} - 189189571424 T^{13} + 16898682790408 T^{14} + 6285485672042 T^{15} + 191707312997281 T^{16}$$)($$1 + 14 T + 314 T^{2} + 2580 T^{3} + 33268 T^{4} + 152612 T^{5} + 1680893 T^{6} + 2492193 T^{7} + 72005300 T^{8} + 152023773 T^{9} + 6254602853 T^{10} + 34640024372 T^{11} + 460623438388 T^{12} + 2179058456580 T^{13} + 16177397549354 T^{14} + 43998399704294 T^{15} + 191707312997281 T^{16}$$)($$1 + 24 T + 703 T^{2} + 11630 T^{3} + 196570 T^{4} + 2464330 T^{5} + 30146861 T^{6} + 298996083 T^{7} + 2852048483 T^{8} + 22752947118 T^{9} + 173974957463 T^{10} + 1112564424843 T^{11} + 6842764656641 T^{12} + 34120721351530 T^{13} + 166022294887570 T^{14} + 599181953818430 T^{15} + 2209348213722763 T^{16} + 4600975511934744 T^{17} + 11694146092834141 T^{18}$$)($$1 + 20 T + 441 T^{2} + 5710 T^{3} + 78769 T^{4} + 811298 T^{5} + 8939709 T^{6} + 80247589 T^{7} + 768632771 T^{8} + 6179624980 T^{9} + 52506357802 T^{10} + 376957123780 T^{11} + 2860082540891 T^{12} + 18214677998809 T^{13} + 123777789400269 T^{14} + 685219289808698 T^{15} + 4058208368041609 T^{16} + 17945061593679910 T^{17} + 84542925031800921 T^{18} + 233882921856682820 T^{19} + 713342911662882601 T^{20}$$)($$1 - 8 T + 135 T^{2} - 770 T^{3} + 17851 T^{4} - 94384 T^{5} + 1431822 T^{6} - 5956649 T^{7} + 114965941 T^{8} - 484207108 T^{9} + 7578519254 T^{10} - 26478053106 T^{11} + 462289674494 T^{12} - 1801734648868 T^{13} + 26095084254121 T^{14} - 82474814946809 T^{15} + 1209311564890422 T^{16} - 4862699013688624 T^{17} + 56101102365810871 T^{18} - 147614631007906370 T^{19} + 1578709722532609035 T^{20} - 5706743293303060808 T^{21} + 43513917611435838661 T^{22}$$)($$1 + 36 T + 927 T^{2} + 17038 T^{3} + 258799 T^{4} + 3230440 T^{5} + 35002066 T^{6} + 326929975 T^{7} + 2749040241 T^{8} + 20994526136 T^{9} + 156817014258 T^{10} + 1183809324718 T^{11} + 9565837869738 T^{12} + 78120631752056 T^{13} + 623979902942421 T^{14} + 4526620451983975 T^{15} + 29562615470957866 T^{16} + 166433478150748840 T^{17} + 813338703219398779 T^{18} + 3266309198847673678 T^{19} + 10840473428057248707 T^{20} + 25680344819863773636 T^{21} + 43513917611435838661 T^{22}$$)($$1 + T + 121 T^{2} + 30 T^{3} + 16403 T^{4} + 6233 T^{5} + 1363610 T^{6} + 88270 T^{7} + 112494656 T^{8} + 54551114 T^{9} + 7512177509 T^{10} + 1117431328 T^{11} + 458242828049 T^{12} + 202984695194 T^{13} + 25534149513536 T^{14} + 1222172385070 T^{15} + 1151699962006610 T^{16} + 321126493392113 T^{17} + 51550410739252463 T^{18} + 5751219389918430 T^{19} + 1414991677232931061 T^{20} + 713342911662882601 T^{21} + 43513917611435838661 T^{22}$$)($$1 + 26 T + 811 T^{2} + 15010 T^{3} + 278860 T^{4} + 4057732 T^{5} + 56493224 T^{6} + 678244599 T^{7} + 7664308564 T^{8} + 77893196608 T^{9} + 740665052183 T^{10} + 6454026745289 T^{11} + 52513812625194 T^{12} + 393695631462629 T^{13} + 2756014659172943 T^{14} + 17680275659280448 T^{15} + 106118797752082324 T^{16} + 572842879488628299 T^{17} + 2910552049339829864 T^{18} + 12752408173493164372 T^{19} + 53459501302421779660 T^{20} +$$$$17\!\cdots\!10$$$$T^{21} +$$$$57\!\cdots\!11$$$$T^{22} +$$$$11\!\cdots\!86$$$$T^{23} +$$$$26\!\cdots\!21$$$$T^{24}$$)($$1 - 2 T + 295 T^{2} - 490 T^{3} + 48484 T^{4} - 81010 T^{5} + 5923599 T^{6} - 9592871 T^{7} + 583396486 T^{8} - 895865936 T^{9} + 48288553634 T^{10} - 70761375911 T^{11} + 3416338637165 T^{12} - 4697682281336 T^{13} + 208396656867065 T^{14} - 263303079764831 T^{15} + 10960584192398954 T^{16} - 12404017307172176 T^{17} + 492734514091998286 T^{18} - 494228305116780431 T^{19} + 18616348320711159579 T^{20} - 15530209425909733810 T^{21} +$$$$56\!\cdots\!44$$$$T^{22} -$$$$34\!\cdots\!90$$$$T^{23} +$$$$12\!\cdots\!95$$$$T^{24} -$$$$53\!\cdots\!42$$$$T^{25} +$$$$16\!\cdots\!81$$$$T^{26}$$)($$1 - 17 T + 395 T^{2} - 5414 T^{3} + 81146 T^{4} - 901986 T^{5} + 10902127 T^{6} - 106300462 T^{7} + 1104348671 T^{8} - 9720783669 T^{9} + 91269537043 T^{10} - 736154617740 T^{11} + 6374523735013 T^{12} - 48129864687696 T^{13} + 388845947835793 T^{14} - 2739231332610540 T^{15} + 20716450787557183 T^{16} - 134592425076370629 T^{17} + 932728802540865971 T^{18} - 5476639596987254782 T^{19} + 34262581526641116667 T^{20} -$$$$17\!\cdots\!66$$$$T^{21} +$$$$94\!\cdots\!86$$$$T^{22} -$$$$38\!\cdots\!14$$$$T^{23} +$$$$17\!\cdots\!95$$$$T^{24} -$$$$45\!\cdots\!57$$$$T^{25} +$$$$16\!\cdots\!81$$$$T^{26}$$)($$1 - 12 T + 482 T^{2} - 4638 T^{3} + 106787 T^{4} - 828032 T^{5} + 14480297 T^{6} - 87816605 T^{7} + 1344767383 T^{8} - 5842521801 T^{9} + 91879935358 T^{10} - 230541494581 T^{11} + 5135016712645 T^{12} - 4901001983979 T^{13} + 289194053480718 T^{14} - 298961121022719 T^{15} + 19107397187752045 T^{16} - 52328538981489961 T^{17} + 1272154976057146078 T^{18} - 4934572301636458101 T^{19} + 69282919000622267263 T^{20} -$$$$27\!\cdots\!05$$$$T^{21} +$$$$27\!\cdots\!57$$$$T^{22} -$$$$96\!\cdots\!12$$$$T^{23} +$$$$76\!\cdots\!87$$$$T^{24} -$$$$20\!\cdots\!18$$$$T^{25} +$$$$12\!\cdots\!22$$$$T^{26} -$$$$19\!\cdots\!72$$$$T^{27} +$$$$98\!\cdots\!41$$$$T^{28}$$)($$1 + 4 T + 484 T^{2} + 1314 T^{3} + 115319 T^{4} + 201434 T^{5} + 18326791 T^{6} + 19012883 T^{7} + 2192118347 T^{8} + 1180380893 T^{9} + 209538594860 T^{10} + 46690441853 T^{11} + 16545695495773 T^{12} + 1220607119195 T^{13} + 1098037338250994 T^{14} + 74457034270895 T^{15} + 61566532939771333 T^{16} + 10597843182235793 T^{17} + 2901238067794977260 T^{18} + 996945335998876793 T^{19} +$$$$11\!\cdots\!67$$$$T^{20} + 59752601840355458543 T^{21} +$$$$35\!\cdots\!71$$$$T^{22} +$$$$23\!\cdots\!94$$$$T^{23} +$$$$82\!\cdots\!19$$$$T^{24} +$$$$57\!\cdots\!54$$$$T^{25} +$$$$12\!\cdots\!64$$$$T^{26} +$$$$64\!\cdots\!24$$$$T^{27} +$$$$98\!\cdots\!41$$$$T^{28}$$)($$1 - 2 T + 531 T^{2} - 666 T^{3} + 138337 T^{4} - 79100 T^{5} + 23661761 T^{6} - 525585 T^{7} + 2997903312 T^{8} + 1049709712 T^{9} + 299443738513 T^{10} + 162692252758 T^{11} + 24337760215294 T^{12} + 14417559647767 T^{13} + 1631695419459942 T^{14} + 879471138513787 T^{15} + 90560805761108974 T^{16} + 36928050223263598 T^{17} + 4146050391896574433 T^{18} + 886580939878975312 T^{19} +$$$$15\!\cdots\!32$$$$T^{20} - 1651778493470097285 T^{21} +$$$$45\!\cdots\!41$$$$T^{22} -$$$$92\!\cdots\!00$$$$T^{23} +$$$$98\!\cdots\!37$$$$T^{24} -$$$$28\!\cdots\!26$$$$T^{25} +$$$$14\!\cdots\!51$$$$T^{26} -$$$$32\!\cdots\!62$$$$T^{27} +$$$$98\!\cdots\!41$$$$T^{28}$$)($$1 - 22 T + 644 T^{2} - 11036 T^{3} + 196600 T^{4} - 2765294 T^{5} + 38169654 T^{6} - 459020073 T^{7} + 5341068529 T^{8} - 56570472501 T^{9} + 578065233341 T^{10} - 5503410184670 T^{11} + 50560085586603 T^{12} - 438296586915695 T^{13} + 3669732916010368 T^{14} - 29157690683995002 T^{15} + 223853707876632448 T^{16} - 1630901599913301095 T^{17} + 11476178786532735543 T^{18} - 76199342374721457470 T^{19} +$$$$48\!\cdots\!41$$$$T^{20} -$$$$29\!\cdots\!61$$$$T^{21} +$$$$16\!\cdots\!09$$$$T^{22} -$$$$87\!\cdots\!13$$$$T^{23} +$$$$44\!\cdots\!14$$$$T^{24} -$$$$19\!\cdots\!94$$$$T^{25} +$$$$85\!\cdots\!00$$$$T^{26} -$$$$29\!\cdots\!56$$$$T^{27} +$$$$10\!\cdots\!64$$$$T^{28} -$$$$21\!\cdots\!02$$$$T^{29} +$$$$60\!\cdots\!01$$$$T^{30}$$)($$1 + 459 T^{2} - 318 T^{3} + 103898 T^{4} - 159398 T^{5} + 15704366 T^{6} - 38331037 T^{7} + 1814368519 T^{8} - 5937657768 T^{9} + 173417385168 T^{10} - 671036989903 T^{11} + 14346471436314 T^{12} - 59441130966933 T^{13} + 1047651981169903 T^{14} - 4318613747814279 T^{15} + 67852682743911080 T^{16} - 263435438616671019 T^{17} + 3898313021933209063 T^{18} - 13492007348005419273 T^{19} +$$$$19\!\cdots\!74$$$$T^{20} -$$$$56\!\cdots\!03$$$$T^{21} +$$$$89\!\cdots\!48$$$$T^{22} -$$$$18\!\cdots\!28$$$$T^{23} +$$$$34\!\cdots\!39$$$$T^{24} -$$$$44\!\cdots\!17$$$$T^{25} +$$$$11\!\cdots\!66$$$$T^{26} -$$$$69\!\cdots\!78$$$$T^{27} +$$$$27\!\cdots\!58$$$$T^{28} -$$$$51\!\cdots\!58$$$$T^{29} +$$$$45\!\cdots\!19$$$$T^{30} +$$$$36\!\cdots\!61$$$$T^{32}$$)
$67$ ($$1 + 3 T + 67 T^{2}$$)($$1 - 8 T + 67 T^{2}$$)($$1 + T + 67 T^{2}$$)($$1 + 13 T + 67 T^{2}$$)($$1 + 4 T + 67 T^{2}$$)($$1 + 4 T + 67 T^{2}$$)($$1 + 4 T + 67 T^{2}$$)($$1 + T + 67 T^{2}$$)($$1 + 10 T + 67 T^{2}$$)($$1 - 16 T + 67 T^{2}$$)($$1 + 3 T + 67 T^{2}$$)($$1 - 11 T + 126 T^{2} - 737 T^{3} + 4489 T^{4}$$)($$1 + 17 T + 190 T^{2} + 1139 T^{3} + 4489 T^{4}$$)($$1 - 8 T + 239 T^{2} - 1447 T^{3} + 23316 T^{4} - 96949 T^{5} + 1072871 T^{6} - 2406104 T^{7} + 20151121 T^{8}$$)($$1 - T + 211 T^{2} + 134 T^{3} + 21876 T^{4} + 41069 T^{5} + 1677249 T^{6} + 3917111 T^{7} + 112375683 T^{8} + 184358741 T^{9} + 6579491388 T^{10} + 2700250214 T^{11} + 284876397577 T^{12} - 90458382169 T^{13} + 6060711605323 T^{14}$$)($$1 + 8 T + 413 T^{2} + 2652 T^{3} + 77333 T^{4} + 408459 T^{5} + 8869686 T^{6} + 39292041 T^{7} + 702186539 T^{8} + 2632566747 T^{9} + 39816020454 T^{10} + 122849354217 T^{11} + 1558346640293 T^{12} + 3580531783764 T^{13} + 37359311835797 T^{14} + 48485692842584 T^{15} + 406067677556641 T^{16}$$)($$1 + 13 T + 346 T^{2} + 3293 T^{3} + 51717 T^{4} + 383491 T^{5} + 4693425 T^{6} + 29547058 T^{7} + 333123472 T^{8} + 1979652886 T^{9} + 21068784825 T^{10} + 115339903633 T^{11} + 1042155524757 T^{12} + 4445961977351 T^{13} + 31298600230474 T^{14} + 78789250869199 T^{15} + 406067677556641 T^{16}$$)($$1 + 4 T + 252 T^{2} + 1098 T^{3} + 35440 T^{4} + 133165 T^{5} + 3487683 T^{6} + 11366594 T^{7} + 275587775 T^{8} + 787775524 T^{9} + 18464380925 T^{10} + 51024640466 T^{11} + 1048966002129 T^{12} + 2683424027965 T^{13} + 47848433792080 T^{14} + 99323303621562 T^{15} + 1527299324541396 T^{16} + 1624270710226564 T^{17} + 27206534396294947 T^{18}$$)($$1 + 21 T + 568 T^{2} + 7721 T^{3} + 120514 T^{4} + 1192978 T^{5} + 13803811 T^{6} + 106576787 T^{7} + 1058044567 T^{8} + 7083060761 T^{9} + 70142689590 T^{10} + 474565070987 T^{11} + 4749562061263 T^{12} + 32054354188481 T^{13} + 278162265722131 T^{14} + 1610669549898646 T^{15} + 10901501468714866 T^{16} + 46794754304698883 T^{17} + 230646440852172088 T^{18} + 571337222322193887 T^{19} + 1822837804551761449 T^{20}$$)($$1 + 22 T + 561 T^{2} + 9037 T^{3} + 137071 T^{4} + 1744642 T^{5} + 20190593 T^{6} + 212972338 T^{7} + 2086020733 T^{8} + 19049920729 T^{9} + 167882766846 T^{10} + 1385277904085 T^{11} + 11248145378682 T^{12} + 85515094152481 T^{13} + 627397853719279 T^{14} + 4291631352690898 T^{15} + 27259826534518451 T^{16} + 157817492784088498 T^{17} + 830747800453228933 T^{18} + 3669633602079364717 T^{19} + 15262865796321465267 T^{20} + 40102431700138751878 T^{21} +$$$$12\!\cdots\!83$$$$T^{22}$$)($$1 + 12 T + 450 T^{2} + 4618 T^{3} + 99845 T^{4} + 882603 T^{5} + 14367617 T^{6} + 111359650 T^{7} + 1513223341 T^{8} + 10459786639 T^{9} + 124986111174 T^{10} + 778694940968 T^{11} + 8374069448658 T^{12} + 46953982222471 T^{13} + 455121591709183 T^{14} + 2244021781667650 T^{15} + 19398080439460019 T^{16} + 79838839477505907 T^{17} + 605131750233474935 T^{18} + 1875220534956568138 T^{19} + 12242940478332726150 T^{20} + 21874053654621137388 T^{21} +$$$$12\!\cdots\!83$$$$T^{22}$$)($$1 + 9 T + 394 T^{2} + 3819 T^{3} + 80349 T^{4} + 781121 T^{5} + 11310962 T^{6} + 103101443 T^{7} + 1211982888 T^{8} + 9933981227 T^{9} + 102283799212 T^{10} + 745760608346 T^{11} + 6853014547204 T^{12} + 44593641728003 T^{13} + 364519609343544 T^{14} + 2077609653167603 T^{15} + 15271213780522934 T^{16} + 70658941938231449 T^{17} + 486972116776097727 T^{18} + 1550772460588811979 T^{19} + 10719374552140209118 T^{20} + 16405540240965853041 T^{21} +$$$$12\!\cdots\!83$$$$T^{22}$$)($$1 - 12 T + 541 T^{2} - 6152 T^{3} + 146173 T^{4} - 1560061 T^{5} + 25832558 T^{6} - 255792465 T^{7} + 3306058168 T^{8} - 29991143507 T^{9} + 321676689949 T^{10} - 2633052193083 T^{11} + 24350241505332 T^{12} - 176414496936561 T^{13} + 1444006661181061 T^{14} - 9020226294595841 T^{15} + 66620778176406328 T^{16} - 345351829177918755 T^{17} + 2336771403966858302 T^{18} - 9455079807711804703 T^{19} + 59356130631486884893 T^{20} -$$$$16\!\cdots\!44$$$$T^{21} +$$$$98\!\cdots\!09$$$$T^{22} -$$$$14\!\cdots\!96$$$$T^{23} +$$$$81\!\cdots\!61$$$$T^{24}$$)($$1 + T + 325 T^{2} + 1023 T^{3} + 55755 T^{4} + 241106 T^{5} + 7121201 T^{6} + 32604747 T^{7} + 752311908 T^{8} + 3317852515 T^{9} + 67250045058 T^{10} + 286352503860 T^{11} + 5145893316345 T^{12} + 21040737104174 T^{13} + 344774852195115 T^{14} + 1285436389827540 T^{15} + 20226325301779254 T^{16} + 66858447489919315 T^{17} + 1015715195285874156 T^{18} + 2949372664649556243 T^{19} + 43159545544537752923 T^{20} + 97905353464971484946 T^{21} +$$$$15\!\cdots\!85$$$$T^{22} +$$$$18\!\cdots\!27$$$$T^{23} +$$$$39\!\cdots\!75$$$$T^{24} +$$$$81\!\cdots\!61$$$$T^{25} +$$$$54\!\cdots\!87$$$$T^{26}$$)($$1 - 20 T + 601 T^{2} - 9365 T^{3} + 164472 T^{4} - 2126310 T^{5} + 28028480 T^{6} - 311675821 T^{7} + 3396003920 T^{8} - 33461413283 T^{9} + 318622545371 T^{10} - 2859111247421 T^{11} + 24737883791037 T^{12} - 206153123607736 T^{13} + 1657438213999479 T^{14} - 12834550389672869 T^{15} + 95829872613418073 T^{16} - 674284987896740243 T^{17} + 4585030155862419440 T^{18} - 28193690528854835749 T^{19} +$$$$16\!\cdots\!40$$$$T^{20} -$$$$86\!\cdots\!10$$$$T^{21} +$$$$44\!\cdots\!84$$$$T^{22} -$$$$17\!\cdots\!85$$$$T^{23} +$$$$73\!\cdots\!83$$$$T^{24} -$$$$16\!\cdots\!20$$$$T^{25} +$$$$54\!\cdots\!87$$$$T^{26}$$)($$1 - 24 T + 728 T^{2} - 11067 T^{3} + 196045 T^{4} - 2144049 T^{5} + 28074428 T^{6} - 224629985 T^{7} + 2399433248 T^{8} - 12472021562 T^{9} + 120741266923 T^{10} - 110918142082 T^{11} + 2706198176098 T^{12} + 37496687932729 T^{13} + 246324937482 T^{14} + 2512278091492843 T^{15} + 12148123612503922 T^{16} - 33360073167008566 T^{17} + 2433071879458670683 T^{18} - 16838789445901557134 T^{19} +$$$$21\!\cdots\!12$$$$T^{20} -$$$$13\!\cdots\!55$$$$T^{21} +$$$$11\!\cdots\!48$$$$T^{22} -$$$$58\!\cdots\!03$$$$T^{23} +$$$$35\!\cdots\!05$$$$T^{24} -$$$$13\!\cdots\!61$$$$T^{25} +$$$$59\!\cdots\!08$$$$T^{26} -$$$$13\!\cdots\!88$$$$T^{27} +$$$$36\!\cdots\!29$$$$T^{28}$$)($$1 - 13 T + 680 T^{2} - 7544 T^{3} + 211176 T^{4} - 2018649 T^{5} + 39849212 T^{6} - 330189361 T^{7} + 5155084593 T^{8} - 37314891084 T^{9} + 496316070080 T^{10} - 3199008307173 T^{11} + 38737076756099 T^{12} - 231279252876556 T^{13} + 2689074296203136 T^{14} - 15495709942729252 T^{15} + 173890737558128411 T^{16} - 962143335490272999 T^{17} + 10001325182426559680 T^{18} - 50379771317478845988 T^{19} +$$$$46\!\cdots\!17$$$$T^{20} -$$$$20\!\cdots\!03$$$$T^{21} +$$$$16\!\cdots\!92$$$$T^{22} -$$$$54\!\cdots\!03$$$$T^{23} +$$$$38\!\cdots\!24$$$$T^{24} -$$$$92\!\cdots\!52$$$$T^{25} +$$$$55\!\cdots\!80$$$$T^{26} -$$$$71\!\cdots\!31$$$$T^{27} +$$$$36\!\cdots\!29$$$$T^{28}$$)($$1 + 16 T + 519 T^{2} + 6672 T^{3} + 124668 T^{4} + 1350481 T^{5} + 19154411 T^{6} + 184611695 T^{7} + 2223612699 T^{8} + 19913080426 T^{9} + 215047481933 T^{10} + 1818762266026 T^{11} + 17963409855248 T^{12} + 142652630232610 T^{13} + 1296849511237522 T^{14} + 9557726225584870 T^{15} + 80637746840208272 T^{16} + 547016395416777838 T^{17} + 4333447829177196893 T^{18} + 26885149840852855582 T^{19} +$$$$20\!\cdots\!31$$$$T^{20} +$$$$11\!\cdots\!85$$$$T^{21} +$$$$77\!\cdots\!51$$$$T^{22} +$$$$36\!\cdots\!07$$$$T^{23} +$$$$22\!\cdots\!32$$$$T^{24} +$$$$81\!\cdots\!76$$$$T^{25} +$$$$42\!\cdots\!59$$$$T^{26} +$$$$87\!\cdots\!92$$$$T^{27} +$$$$36\!\cdots\!29$$$$T^{28}$$)($$1 - 29 T + 899 T^{2} - 16475 T^{3} + 306532 T^{4} - 4232197 T^{5} + 59579872 T^{6} - 673192766 T^{7} + 7916505077 T^{8} - 77617882877 T^{9} + 813861050007 T^{10} - 7257358894729 T^{11} + 70681960181205 T^{12} - 588519867282757 T^{13} + 5387864066877213 T^{14} - 42062755847947284 T^{15} + 360986892480773271 T^{16} - 2641865684232296173 T^{17} + 21258518389979759415 T^{18} -$$$$14\!\cdots\!09$$$$T^{19} +$$$$10\!\cdots\!49$$$$T^{20} -$$$$70\!\cdots\!13$$$$T^{21} +$$$$47\!\cdots\!71$$$$T^{22} -$$$$27\!\cdots\!06$$$$T^{23} +$$$$16\!\cdots\!84$$$$T^{24} -$$$$77\!\cdots\!53$$$$T^{25} +$$$$37\!\cdots\!56$$$$T^{26} -$$$$13\!\cdots\!75$$$$T^{27} +$$$$49\!\cdots\!13$$$$T^{28} -$$$$10\!\cdots\!41$$$$T^{29} +$$$$24\!\cdots\!43$$$$T^{30}$$)($$1 - 28 T + 858 T^{2} - 15649 T^{3} + 292080 T^{4} - 4225007 T^{5} + 61602204 T^{6} - 771198098 T^{7} + 9574930223 T^{8} - 107511352491 T^{9} + 1179390780967 T^{10} - 12081186344489 T^{11} + 119596924133268 T^{12} - 1127862817133331 T^{13} + 10201063163519899 T^{14} - 88868275954132921 T^{15} + 739804228787108344 T^{16} - 5954174488926905707 T^{17} + 45792572541040826611 T^{18} -$$$$33\!\cdots\!53$$$$T^{19} +$$$$24\!\cdots\!28$$$$T^{20} -$$$$16\!\cdots\!23$$$$T^{21} +$$$$10\!\cdots\!23$$$$T^{22} -$$$$65\!\cdots\!93$$$$T^{23} +$$$$38\!\cdots\!43$$$$T^{24} -$$$$20\!\cdots\!06$$$$T^{25} +$$$$11\!\cdots\!96$$$$T^{26} -$$$$51\!\cdots\!81$$$$T^{27} +$$$$23\!\cdots\!80$$$$T^{28} -$$$$85\!\cdots\!63$$$$T^{29} +$$$$31\!\cdots\!82$$$$T^{30} -$$$$68\!\cdots\!04$$$$T^{31} +$$$$16\!\cdots\!81$$$$T^{32}$$)
$71$ ($$1 + 6 T + 71 T^{2}$$)($$1 + 8 T + 71 T^{2}$$)($$1 + 71 T^{2}$$)($$1 + 4 T + 71 T^{2}$$)($$1 - 8 T + 71 T^{2}$$)($$1 - 8 T + 71 T^{2}$$)($$1 + 71 T^{2}$$)($$1 - 10 T + 71 T^{2}$$)($$1 - 6 T + 71 T^{2}$$)($$1 + 4 T + 71 T^{2}$$)($$1 - 2 T + 71 T^{2}$$)($$1 + 12 T + 110 T^{2} + 852 T^{3} + 5041 T^{4}$$)($$1 + 14 T + 126 T^{2} + 994 T^{3} + 5041 T^{4}$$)($$1 + 21 T + 207 T^{2} + 512 T^{3} - 1568 T^{4} + 36352 T^{5} + 1043487 T^{6} + 7516131 T^{7} + 25411681 T^{8}$$)($$1 - 15 T + 452 T^{2} - 4851 T^{3} + 85045 T^{4} - 716014 T^{5} + 9325472 T^{6} - 63589473 T^{7} + 662108512 T^{8} - 3609426574 T^{9} + 30438540995 T^{10} - 123272064531 T^{11} + 815511666652 T^{12} - 1921504258815 T^{13} + 9095120158391 T^{14}$$)($$1 + 13 T + 469 T^{2} + 4838 T^{3} + 98597 T^{4} + 833187 T^{5} + 12462947 T^{6} + 87885815 T^{7} + 1060667768 T^{8} + 6239892865 T^{9} + 62825715827 T^{10} + 298206792357 T^{11} + 2505515511557 T^{12} + 8728861600138 T^{13} + 60079033158949 T^{14} + 118236562059083 T^{15} + 645753531245761 T^{16}$$)($$1 + 31 T + 855 T^{2} + 15308 T^{3} + 247375 T^{4} + 3153105 T^{5} + 36971771 T^{6} + 363235587 T^{7} + 3317121700 T^{8} + 25789726677 T^{9} + 186374697611 T^{10} + 1128530963655 T^{11} + 6286214587375 T^{12} + 27619142905108 T^{13} + 109525742752455 T^{14} + 281948724910121 T^{15} + 645753531245761 T^{16}$$)($$1 + 9 T + 330 T^{2} + 1637 T^{3} + 43158 T^{4} + 29483 T^{5} + 2830734 T^{6} - 18603230 T^{7} + 102528747 T^{8} - 2231638070 T^{9} + 7279541037 T^{10} - 93778882430 T^{11} + 1013150836674 T^{12} + 749212590923 T^{13} + 77866930330458 T^{14} + 209700164778677 T^{15} + 3001389652269030 T^{16} + 5811781781211849 T^{17} + 45848500718449031 T^{18}$$)($$1 + 19 T + 615 T^{2} + 9516 T^{3} + 175586 T^{4} + 2249534 T^{5} + 30631826 T^{6} + 330136525 T^{7} + 3619007325 T^{8} + 33115661852 T^{9} + 303109809166 T^{10} + 2351211991492 T^{11} + 18243415925325 T^{12} + 118159493799275 T^{13} + 778406190759506 T^{14} + 4058675268872434 T^{15} + 22492616452552706 T^{16} + 86549163427248756 T^{17} + 397138421716143015 T^{18} + 871121513650531589 T^{19} + 3255243551009881201 T^{20}$$)($$1 - 42 T + 1190 T^{2} - 25596 T^{3} + 458170 T^{4} - 7063778 T^{5} + 96477364 T^{6} - 1185261873 T^{7} + 13254353763 T^{8} - 136004785165 T^{9} + 1287053907403 T^{10} - 11269966035752 T^{11} + 91380827425613 T^{12} - 685600122016765 T^{13} + 4743879009669093 T^{14} - 30119496618138513 T^{15} + 174067291835910764 T^{16} - 904871967354913538 T^{17} + 4167111202970004470 T^{18} - 16528707385766498556 T^{19} + 54559715854954346890 T^{20} -$$$$13\!\cdots\!42$$$$T^{21} +$$$$23\!\cdots\!71$$$$T^{22}$$)($$1 + 15 T + 460 T^{2} + 5709 T^{3} + 101331 T^{4} + 1059170 T^{5} + 14426384 T^{6} + 132046005 T^{7} + 1533650249 T^{8} + 12679228673 T^{9} + 131483903629 T^{10} + 991178313608 T^{11} + 9335357157659 T^{12} + 63915991740593 T^{13} + 548910294269839 T^{14} + 3355510956384405 T^{15} + 26028505441596784 T^{16} + 135679977720605570 T^{17} + 921617620769918421 T^{18} + 3686606909882049549 T^{19} + 21090310330486554260 T^{20} + 48828653265148218015 T^{21} +$$$$23\!\cdots\!71$$$$T^{22}$$)($$1 - 17 T + 410 T^{2} - 4719 T^{3} + 72231 T^{4} - 732838 T^{5} + 8966198 T^{6} - 83614697 T^{7} + 849560641 T^{8} - 7466122765 T^{9} + 67991804849 T^{10} - 572410773864 T^{11} + 4827418144279 T^{12} - 37636724858365 T^{13} + 304067098580951 T^{14} - 2124790007075657 T^{15} + 16177077598477498 T^{16} - 93876755868097798 T^{17} + 656949624160740321 T^{18} - 3047310913948746159 T^{19} + 18797885294564102710 T^{20} - 55339140367167980417 T^{21} +$$$$23\!\cdots\!71$$$$T^{22}$$)($$1 + 35 T + 1135 T^{2} + 24696 T^{3} + 491537 T^{4} + 8021287 T^{5} + 120877529 T^{6} + 1593235761 T^{7} + 19548155567 T^{8} + 215684766884 T^{9} + 2226478765392 T^{10} + 20926580550085 T^{11} + 184460124370606 T^{12} + 1485787219056035 T^{13} + 11223679456341072 T^{14} + 77195950600219324 T^{15} + 496751493406978127 T^{16} + 2874562723059021111 T^{17} + 15484445784568911209 T^{18} + 72954569089939669217 T^{19} +$$$$31\!\cdots\!57$$$$T^{20} +$$$$11\!\cdots\!76$$$$T^{21} +$$$$36\!\cdots\!35$$$$T^{22} +$$$$80\!\cdots\!85$$$$T^{23} +$$$$16\!\cdots\!41$$$$T^{24}$$)($$1 - 32 T + 978 T^{2} - 20218 T^{3} + 383291 T^{4} - 6037364 T^{5} + 88023846 T^{6} - 1138407353 T^{7} + 13794584265 T^{8} - 152690668115 T^{9} + 1598671561773 T^{10} - 15523677790207 T^{11} + 143439830649220 T^{12} - 1237750583694574 T^{13} + 10184227976094620 T^{14} - 78254859740433487 T^{15} + 572182137345736203 T^{16} - 3880126549815251315 T^{17} + 24888593815755762015 T^{18} -$$$$14\!\cdots\!13$$$$T^{19} +$$$$80\!\cdots\!86$$$$T^{20} -$$$$38\!\cdots\!04$$$$T^{21} +$$$$17\!\cdots\!21$$$$T^{22} -$$$$65\!\cdots\!18$$$$T^{23} +$$$$22\!\cdots\!38$$$$T^{24} -$$$$52\!\cdots\!12$$$$T^{25} +$$$$11\!\cdots\!11$$$$T^{26}$$)($$1 - 16 T + 650 T^{2} - 8168 T^{3} + 187959 T^{4} - 1957904 T^{5} + 33394406 T^{6} - 299247255 T^{7} + 4217856563 T^{8} - 33459809651 T^{9} + 414713355965 T^{10} - 2988823921021 T^{11} + 33936031084590 T^{12} - 227145830014434 T^{13} + 2409458207005890 T^{14} - 15066661385866861 T^{15} + 148430471946789115 T^{16} - 850270009171933331 T^{17} + 7609980609272580613 T^{18} - 38333658328079886855 T^{19} +$$$$30\!\cdots\!46$$$$T^{20} -$$$$12\!\cdots\!44$$$$T^{21} +$$$$86\!\cdots\!29$$$$T^{22} -$$$$26\!\cdots\!68$$$$T^{23} +$$$$15\!\cdots\!50$$$$T^{24} -$$$$26\!\cdots\!56$$$$T^{25} +$$$$11\!\cdots\!11$$$$T^{26}$$)($$1 - 20 T + 625 T^{2} - 8542 T^{3} + 149291 T^{4} - 1431774 T^{5} + 17687299 T^{6} - 106070439 T^{7} + 1019982579 T^{8} - 522497538 T^{9} + 10266084344 T^{10} + 578764158604 T^{11} - 2595505604495 T^{12} + 61931023687227 T^{13} - 244091435636824 T^{14} + 4397102681793117 T^{15} - 13083943752259295 T^{16} + 207146058770116244 T^{17} + 260878460468822264 T^{18} - 942705393884837838 T^{19} +$$$$13\!\cdots\!59$$$$T^{20} -$$$$96\!\cdots\!49$$$$T^{21} +$$$$11\!\cdots\!39$$$$T^{22} -$$$$65\!\cdots\!94$$$$T^{23} +$$$$48\!\cdots\!91$$$$T^{24} -$$$$19\!\cdots\!82$$$$T^{25} +$$$$10\!\cdots\!25$$$$T^{26} -$$$$23\!\cdots\!20$$$$T^{27} +$$$$82\!\cdots\!81$$$$T^{28}$$)($$1 - 18 T + 713 T^{2} - 11370 T^{3} + 255495 T^{4} - 3554696 T^{5} + 59554379 T^{6} - 727778567 T^{7} + 9998837755 T^{8} - 108358619322 T^{9} + 1275902745998 T^{10} - 12340757125686 T^{11} + 127482062456591 T^{12} - 1103461769654179 T^{13} + 10126899044108824 T^{14} - 78345785645446709 T^{15} + 642637076843675231 T^{16} - 4416892723611401946 T^{17} + 32422833568325202638 T^{18} -$$$$19\!\cdots\!22$$$$T^{19} +$$$$12\!\cdots\!55$$$$T^{20} -$$$$66\!\cdots\!97$$$$T^{21} +$$$$38\!\cdots\!19$$$$T^{22} -$$$$16\!\cdots\!76$$$$T^{23} +$$$$83\!\cdots\!95$$$$T^{24} -$$$$26\!\cdots\!70$$$$T^{25} +$$$$11\!\cdots\!33$$$$T^{26} -$$$$20\!\cdots\!98$$$$T^{27} +$$$$82\!\cdots\!81$$$$T^{28}$$)($$1 + 29 T + 705 T^{2} + 12086 T^{3} + 191896 T^{4} + 2638398 T^{5} + 34300098 T^{6} + 408688847 T^{7} + 4632044190 T^{8} + 49512503143 T^{9} + 506040747423 T^{10} + 4940191614446 T^{11} + 46145162701177 T^{12} + 414037169596841 T^{13} + 3556392873560764 T^{14} + 29396639041375711 T^{15} + 232617765176633257 T^{16} + 1768148920917982306 T^{17} + 12859346046514848063 T^{18} + 89331911412080350193 T^{19} +$$$$59\!\cdots\!90$$$$T^{20} +$$$$37\!\cdots\!77$$$$T^{21} +$$$$22\!\cdots\!78$$$$T^{22} +$$$$12\!\cdots\!38$$$$T^{23} +$$$$62\!\cdots\!96$$$$T^{24} +$$$$27\!\cdots\!06$$$$T^{25} +$$$$11\!\cdots\!05$$$$T^{26} +$$$$33\!\cdots\!19$$$$T^{27} +$$$$82\!\cdots\!81$$$$T^{28}$$)($$1 - 18 T + 786 T^{2} - 12246 T^{3} + 300544 T^{4} - 4154590 T^{5} + 74405584 T^{6} - 923967185 T^{7} + 13335847710 T^{8} - 149752123327 T^{9} + 1831680494665 T^{10} - 18652367064118 T^{11} + 199025978213365 T^{12} - 1837570173972345 T^{13} + 17411928699927097 T^{14} - 145299914209922134 T^{15} + 1236246937694823887 T^{16} - 9263191246994591145 T^{17} + 71233586888323680515 T^{18} -$$$$47\!\cdots\!58$$$$T^{19} +$$$$33\!\cdots\!15$$$$T^{20} -$$$$19\!\cdots\!67$$$$T^{21} +$$$$12\!\cdots\!10$$$$T^{22} -$$$$59\!\cdots\!85$$$$T^{23} +$$$$34\!\cdots\!04$$$$T^{24} -$$$$13\!\cdots\!90$$$$T^{25} +$$$$69\!\cdots\!24$$$$T^{26} -$$$$20\!\cdots\!86$$$$T^{27} +$$$$91\!\cdots\!46$$$$T^{28} -$$$$14\!\cdots\!58$$$$T^{29} +$$$$58\!\cdots\!51$$$$T^{30}$$)($$1 - 32 T + 995 T^{2} - 20508 T^{3} + 395622 T^{4} - 6259188 T^{5} + 93755982 T^{6} - 1239096885 T^{7} + 15716903928 T^{8} - 182294906860 T^{9} + 2049415143507 T^{10} - 21476154775115 T^{11} + 219328591407162 T^{12} - 2107956202438259 T^{13} + 19784162377688964 T^{14} - 175455499172719087 T^{15} + 1520075125513646654 T^{16} - 12457340441263055177 T^{17} + 99731962545930067524 T^{18} -$$$$75\!\cdots\!49$$$$T^{19} +$$$$55\!\cdots\!22$$$$T^{20} -$$$$38\!\cdots\!65$$$$T^{21} +$$$$26\!\cdots\!47$$$$T^{22} -$$$$16\!\cdots\!60$$$$T^{23} +$$$$10\!\cdots\!08$$$$T^{24} -$$$$56\!\cdots\!35$$$$T^{25} +$$$$30\!\cdots\!82$$$$T^{26} -$$$$14\!\cdots\!48$$$$T^{27} +$$$$64\!\cdots\!02$$$$T^{28} -$$$$23\!\cdots\!88$$$$T^{29} +$$$$82\!\cdots\!95$$$$T^{30} -$$$$18\!\cdots\!32$$$$T^{31} +$$$$41\!\cdots\!21$$$$T^{32}$$)
$73$ ($$1 + T + 73 T^{2}$$)($$1 + 6 T + 73 T^{2}$$)($$1 - 3 T + 73 T^{2}$$)($$1 + T + 73 T^{2}$$)($$1 + 10 T + 73 T^{2}$$)($$1 + 10 T + 73 T^{2}$$)($$1 + 2 T + 73 T^{2}$$)($$1 - 9 T + 73 T^{2}$$)($$1 + 73 T^{2}$$)($$1 - 6 T + 73 T^{2}$$)($$1 - 11 T + 73 T^{2}$$)($$1 + 5 T + 114 T^{2} + 365 T^{3} + 5329 T^{4}$$)($$1 + 9 T + 20 T^{2} + 657 T^{3} + 5329 T^{4}$$)($$1 - 22 T + 407 T^{2} - 4705 T^{3} + 48122 T^{4} - 343465 T^{5} + 2168903 T^{6} - 8558374 T^{7} + 28398241 T^{8}$$)($$1 - 17 T + 530 T^{2} - 6819 T^{3} + 117094 T^{4} - 1175660 T^{5} + 14247390 T^{6} - 112197599 T^{7} + 1040059470 T^{8} - 6265092140 T^{9} + 45551556598 T^{10} - 193647605379 T^{11} + 1098727944290 T^{12} - 2572681846913 T^{13} + 11047398519097 T^{14}$$)($$1 + 2 T + 158 T^{2} - 884 T^{3} + 11155 T^{4} - 116193 T^{5} + 1328284 T^{6} - 5591553 T^{7} + 124867587 T^{8} - 408183369 T^{9} + 7078425436 T^{10} - 45201052281 T^{11} + 316782378355 T^{12} - 1832595288212 T^{13} + 23910807753662 T^{14} + 22094797038194 T^{15} + 806460091894081 T^{16}$$)($$1 + 27 T + 853 T^{2} + 14950 T^{3} + 268502 T^{4} + 3439427 T^{5} + 43709956 T^{6} + 428418795 T^{7} + 4126826152 T^{8} + 31274572035 T^{9} + 232930355524 T^{10} + 1337995573259 T^{11} + 7624984504982 T^{12} + 30992420315350 T^{13} + 129088095024517 T^{14} + 298279760015619 T^{15} + 806460091894081 T^{16}$$)($$1 + 24 T + 545 T^{2} + 7036 T^{3} + 90751 T^{4} + 845619 T^{5} + 9305813 T^{6} + 83904070 T^{7} + 901932383 T^{8} + 7390785746 T^{9} + 65841063959 T^{10} + 447124789030 T^{11} + 3620119455821 T^{12} + 24014092156179 T^{13} + 188133320136343 T^{14} + 1064787616169404 T^{15} + 6020832192907865 T^{16} + 19355042205457944 T^{17} + 58871586708267913 T^{18}$$)($$1 - 3 T + 309 T^{2} - 716 T^{3} + 47073 T^{4} - 130422 T^{5} + 5114547 T^{6} - 20333915 T^{7} + 451213022 T^{8} - 2182565660 T^{9} + 34594985936 T^{10} - 159327293180 T^{11} + 2404514194238 T^{12} - 7910238611555 T^{13} + 145244138311827 T^{14} - 270374143302246 T^{15} + 7123756034102097 T^{16} - 7909937339673452 T^{17} + 249196168395271029 T^{18} - 176614760124803739 T^{19} + 4297625829703557649 T^{20}$$)($$1 + 4 T + 344 T^{2} + 2017 T^{3} + 70557 T^{4} + 464825 T^{5} + 10359829 T^{6} + 69674800 T^{7} + 1181767970 T^{8} + 7562929529 T^{9} + 107324377898 T^{10} + 627475977209 T^{11} + 7834679586554 T^{12} + 40302851460041 T^{13} + 459727830385490 T^{14} + 1978641762026800 T^{15} + 21476667208237597 T^{16} + 70343931734784425 T^{17} + 779471297311927029 T^{18} + 1626630005350361377 T^{19} + 20251825827644162072 T^{20} + 17190503318814230596 T^{21} +$$$$31\!\cdots\!77$$$$T^{22}$$)($$1 + 12 T + 269 T^{2} + 2810 T^{3} + 34616 T^{4} + 276559 T^{5} + 2814362 T^{6} + 17330908 T^{7} + 165152680 T^{8} + 868190313 T^{9} + 9233347874 T^{10} + 47442325372 T^{11} + 674034394802 T^{12} + 4626586177977 T^{13} + 64247200115560 T^{14} + 492167302132828 T^{15} + 5834373914618666 T^{16} + 41852842288259551 T^{17} + 382416747137061752 T^{18} + 2266152858222367610 T^{19} + 15836456824524068597 T^{20} + 51571509956442691788 T^{21} +$$$$31\!\cdots\!77$$$$T^{22}$$)($$1 + 23 T + 549 T^{2} + 7902 T^{3} + 114786 T^{4} + 1299647 T^{5} + 15141597 T^{6} + 151246736 T^{7} + 1578703671 T^{8} + 14542339469 T^{9} + 139433976402 T^{10} + 1172680462970 T^{11} + 10178680277346 T^{12} + 77496127030301 T^{13} + 614142565981407 T^{14} + 4295141259391376 T^{15} + 31389614613354021 T^{16} + 196681073193819983 T^{17} + 1268086686413068242 T^{18} + 6372647646147028062 T^{19} + 32320501102839084237 T^{20} + 98845394083181825927 T^{21} +$$$$31\!\cdots\!77$$$$T^{22}$$)($$1 - 18 T + 354 T^{2} - 5804 T^{3} + 82357 T^{4} - 1064849 T^{5} + 13002100 T^{6} - 144999477 T^{7} + 1559317972 T^{8} - 15575597371 T^{9} + 150648276022 T^{10} - 1373951341057 T^{11} + 12006180010132 T^{12} - 100298447897161 T^{13} + 802804662921238 T^{14} - 6059172162474307 T^{15} + 44281887564487252 T^{16} - 300594296768556861 T^{17} + 1967662743632206900 T^{18} - 11763811265661921353 T^{19} + 66417633788120828917 T^{20} -$$$$34\!\cdots\!52$$$$T^{21} +$$$$15\!\cdots\!46$$$$T^{22} -$$$$56\!\cdots\!86$$$$T^{23} +$$$$22\!\cdots\!21$$$$T^{24}$$)($$1 + 13 T + 618 T^{2} + 7904 T^{3} + 195357 T^{4} + 2321074 T^{5} + 40912383 T^{6} + 440852563 T^{7} + 6245448502 T^{8} + 60624484621 T^{9} + 729440872702 T^{10} + 6366369654909 T^{11} + 66944930027678 T^{12} + 523353492943988 T^{13} + 4886979892020494 T^{14} + 33926383891010061 T^{15} + 283764899975913934 T^{16} + 1721628724767951661 T^{17} + 12947261875040603686 T^{18} + 66716081529127628707 T^{19} +$$$$45\!\cdots\!51$$$$T^{20} +$$$$18\!\cdots\!94$$$$T^{21} +$$$$11\!\cdots\!41$$$$T^{22} +$$$$33\!\cdots\!96$$$$T^{23} +$$$$19\!\cdots\!86$$$$T^{24} +$$$$29\!\cdots\!73$$$$T^{25} +$$$$16\!\cdots\!33$$$$T^{26}$$)($$1 - 46 T + 1720 T^{2} - 44305 T^{3} + 993024 T^{4} - 18358223 T^{5} + 305680033 T^{6} - 4459620559 T^{7} + 59766164049 T^{8} - 721821551394 T^{9} + 8101777460075 T^{10} - 83131105504269 T^{11} + 797678453714516 T^{12} - 7040793819274228 T^{13} + 58230527121159668 T^{14} - 443005661232249501 T^{15} + 3151729162185996275 T^{16} - 20498462375480697954 T^{17} +$$$$12\!\cdots\!57$$$$T^{18} -$$$$67\!\cdots\!51$$$$T^{19} +$$$$33\!\cdots\!01$$$$T^{20} -$$$$14\!\cdots\!63$$$$T^{21} +$$$$58\!\cdots\!12$$$$T^{22} -$$$$19\!\cdots\!45$$$$T^{23} +$$$$53\!\cdots\!40$$$$T^{24} -$$$$10\!\cdots\!66$$$$T^{25} +$$$$16\!\cdots\!33$$$$T^{26}$$)($$1 - 2 T + 443 T^{2} - 1375 T^{3} + 93120 T^{4} - 417438 T^{5} + 12418477 T^{6} - 75514184 T^{7} + 1185969174 T^{8} - 9498474967 T^{9} + 87804401592 T^{10} - 927760695467 T^{11} + 5594072409883 T^{12} - 76465537821639 T^{13} + 372417748110468 T^{14} - 5581984260979647 T^{15} + 29810811872266507 T^{16} - 360914682468485939 T^{17} + 2493490557270399672 T^{18} - 19691018630909312431 T^{19} +$$$$17\!\cdots\!86$$$$T^{20} -$$$$83\!\cdots\!48$$$$T^{21} +$$$$10\!\cdots\!37$$$$T^{22} -$$$$24\!\cdots\!94$$$$T^{23} +$$$$40\!\cdots\!80$$$$T^{24} -$$$$43\!\cdots\!75$$$$T^{25} +$$$$10\!\cdots\!03$$$$T^{26} -$$$$33\!\cdots\!66$$$$T^{27} +$$$$12\!\cdots\!09$$$$T^{28}$$)($$1 - 11 T + 693 T^{2} - 5745 T^{3} + 219235 T^{4} - 1334368 T^{5} + 42455980 T^{6} - 171947317 T^{7} + 5691712425 T^{8} - 11648551898 T^{9} + 574015416074 T^{10} - 93417125842 T^{11} + 47527580757994 T^{12} + 53350058703113 T^{13} + 3559539737657822 T^{14} + 3894554285327249 T^{15} + 253274477859350026 T^{16} - 36340850043677314 T^{17} + 16301028123384725834 T^{18} - 24148282039330033514 T^{19} +$$$$86\!\cdots\!25$$$$T^{20} -$$$$18\!\cdots\!49$$$$T^{21} +$$$$34\!\cdots\!80$$$$T^{22} -$$$$78\!\cdots\!84$$$$T^{23} +$$$$94\!\cdots\!15$$$$T^{24} -$$$$18\!\cdots\!65$$$$T^{25} +$$$$15\!\cdots\!53$$$$T^{26} -$$$$18\!\cdots\!63$$$$T^{27} +$$$$12\!\cdots\!09$$$$T^{28}$$)($$1 + 594 T^{2} - 544 T^{3} + 163050 T^{4} - 301055 T^{5} + 27556752 T^{6} - 79492103 T^{7} + 3229566043 T^{8} - 13470215088 T^{9} + 284293736642 T^{10} - 1649952824040 T^{11} + 20797805686594 T^{12} - 154352743930394 T^{13} + 1472400999295624 T^{14} - 11267750306918762 T^{15} + 110831506503859426 T^{16} - 641859697749568680 T^{17} + 8073442047950046722 T^{18} - 27924720250532795184 T^{19} +$$$$48\!\cdots\!27$$$$T^{20} -$$$$87\!\cdots\!91$$$$T^{21} +$$$$22\!\cdots\!12$$$$T^{22} -$$$$17\!\cdots\!15$$$$T^{23} +$$$$70\!\cdots\!50$$$$T^{24} -$$$$17\!\cdots\!88$$$$T^{25} +$$$$13\!\cdots\!74$$$$T^{26} +$$$$12\!\cdots\!09$$$$T^{28}$$)($$1 - 23 T + 714 T^{2} - 13064 T^{3} + 256630 T^{4} - 3875083 T^{5} + 59775379 T^{6} - 779527221 T^{7} + 10167980773 T^{8} - 117350588257 T^{9} + 1344637744889 T^{10} - 13953210591736 T^{11} + 143306121500168 T^{12} - 1350456422408969 T^{13} + 12579042289107098 T^{14} - 108104577844055246 T^{15} + 918270087104818154 T^{16} - 7196582275017395801 T^{17} + 55748517467630854856 T^{18} -$$$$39\!\cdots\!76$$$$T^{19} +$$$$27\!\cdots\!77$$$$T^{20} -$$$$17\!\cdots\!73$$$$T^{21} +$$$$11\!\cdots\!81$$$$T^{22} -$$$$62\!\cdots\!01$$$$T^{23} +$$$$35\!\cdots\!27$$$$T^{24} -$$$$16\!\cdots\!67$$$$T^{25} +$$$$80\!\cdots\!10$$$$T^{26} -$$$$29\!\cdots\!44$$$$T^{27} +$$$$11\!\cdots\!62$$$$T^{28} -$$$$28\!\cdots\!07$$$$T^{29} +$$$$89\!\cdots\!57$$$$T^{30}$$)($$1 - 20 T + 513 T^{2} - 9247 T^{3} + 159213 T^{4} - 2321194 T^{5} + 33317650 T^{6} - 424662675 T^{7} + 5258202404 T^{8} - 60372874351 T^{9} + 673283949509 T^{10} - 7023205288675 T^{11} + 71674972251759 T^{12} - 691734325623476 T^{13} + 6508014098139040 T^{14} - 58294144897789706 T^{15} + 511105999549900974 T^{16} - 4255472577538648538 T^{17} + 34681207128982944160 T^{18} -$$$$26\!\cdots\!92$$$$T^{19} +$$$$20\!\cdots\!19$$$$T^{20} -$$$$14\!\cdots\!75$$$$T^{21} +$$$$10\!\cdots\!01$$$$T^{22} -$$$$66\!\cdots\!47$$$$T^{23} +$$$$42\!\cdots\!24$$$$T^{24} -$$$$25\!\cdots\!75$$$$T^{25} +$$$$14\!\cdots\!50$$$$T^{26} -$$$$72\!\cdots\!38$$$$T^{27} +$$$$36\!\cdots\!73$$$$T^{28} -$$$$15\!\cdots\!51$$$$T^{29} +$$$$62\!\cdots\!17$$$$T^{30} -$$$$17\!\cdots\!40$$$$T^{31} +$$$$65\!\cdots\!61$$$$T^{32}$$)
$79$ ($$1 + 6 T + 79 T^{2}$$)($$1 + 16 T + 79 T^{2}$$)($$1 + 4 T + 79 T^{2}$$)($$1 + 2 T + 79 T^{2}$$)($$1 - 16 T + 79 T^{2}$$)($$1 + 8 T + 79 T^{2}$$)($$1 - 16 T + 79 T^{2}$$)($$1 + 10 T + 79 T^{2}$$)($$1 + 79 T^{2}$$)($$1 + 8 T + 79 T^{2}$$)($$1 - 10 T + 79 T^{2}$$)($$1 + 10 T + 30 T^{2} + 790 T^{3} + 6241 T^{4}$$)($$1 + 2 T + 94 T^{2} + 158 T^{3} + 6241 T^{4}$$)($$1 + 22 T + 404 T^{2} + 4950 T^{3} + 50198 T^{4} + 391050 T^{5} + 2521364 T^{6} + 10846858 T^{7} + 38950081 T^{8}$$)($$1 + 27 T + 744 T^{2} + 12364 T^{3} + 197835 T^{4} + 2372854 T^{5} + 27173877 T^{6} + 247348701 T^{7} + 2146736283 T^{8} + 14808981814 T^{9} + 97540370565 T^{10} + 481578801484 T^{11} + 2289329960856 T^{12} + 6563361299067 T^{13} + 19203908986159 T^{14}$$)($$1 - T + 255 T^{2} - 1231 T^{3} + 29351 T^{4} - 197950 T^{5} + 3103156 T^{6} - 12293277 T^{7} + 296938044 T^{8} - 971168883 T^{9} + 19366796596 T^{10} - 97597070050 T^{11} + 1143223827431 T^{12} - 3787856427169 T^{13} + 61987301157855 T^{14} - 19203908986159 T^{15} + 1517108809906561 T^{16}$$)($$1 + 13 T + 537 T^{2} + 6547 T^{3} + 131837 T^{4} + 1449160 T^{5} + 19384928 T^{6} + 184019619 T^{7} + 1868852684 T^{8} + 14537549901 T^{9} + 120981335648 T^{10} + 714492397240 T^{11} + 5135061828797 T^{12} + 20145488244253 T^{13} + 130537963614777 T^{14} + 249650816820067 T^{15} + 1517108809906561 T^{16}$$)($$1 + 15 T + 382 T^{2} + 3782 T^{3} + 58990 T^{4} + 483541 T^{5} + 6600977 T^{6} + 54987597 T^{7} + 678518210 T^{8} + 5226799074 T^{9} + 53602938590 T^{10} + 343177592877 T^{11} + 3254539099103 T^{12} + 18833961116821 T^{13} + 181515556977010 T^{14} + 919356756780422 T^{15} + 7335893232712738 T^{16} + 22756632148598415 T^{17} + 119851595982618319 T^{18}$$)($$1 + 11 T + 429 T^{2} + 5669 T^{3} + 96628 T^{4} + 1288915 T^{5} + 15576599 T^{6} + 179207040 T^{7} + 1910082173 T^{8} + 17951900075 T^{9} + 175373846420 T^{10} + 1418200105925 T^{11} + 11920822841693 T^{12} + 88356059794560 T^{13} + 606709792754519 T^{14} + 3966064148517085 T^{15} + 23489054652083188 T^{16} + 108866960042535371 T^{17} + 650839679449914669 T^{18} + 1318367555808801509 T^{19} + 9468276082626847201 T^{20}$$)($$1 - 33 T + 780 T^{2} - 13466 T^{3} + 194629 T^{4} - 2340710 T^{5} + 24653069 T^{6} - 223771387 T^{7} + 1802233362 T^{8} - 12936922649 T^{9} + 90931199479 T^{10} - 713028483270 T^{11} + 7183564758841 T^{12} - 80739334252409 T^{13} + 888571334567118 T^{14} - 8715913649132347 T^{15} + 75858883721438531 T^{16} - 568997238012559910 T^{17} + 3737637602067140011 T^{18} - 20429387234201750426 T^{19} + 93484244866442288820 T^{20} -$$$$31\!\cdots\!33$$$$T^{21} +$$$$74\!\cdots\!79$$$$T^{22}$$)($$1 + 15 T + 656 T^{2} + 8710 T^{3} + 203361 T^{4} + 2420570 T^{5} + 39740037 T^{6} + 425366961 T^{7} + 5486053746 T^{8} + 52595388347 T^{9} + 565914477663 T^{10} + 4801330205914 T^{11} + 44707243735377 T^{12} + 328247818673627 T^{13} + 2704838452874094 T^{14} + 16568077585673841 T^{15} + 122282335147346763 T^{16} + 588410202210466970 T^{17} + 3905326135334280399 T^{18} + 13214017734286146310 T^{19} + 78622646964597617264 T^{20} +$$$$14\!\cdots\!15$$$$T^{21} +$$$$74\!\cdots\!79$$$$T^{22}$$)($$1 - 41 T + 1364 T^{2} - 31828 T^{3} + 645877 T^{4} - 10916056 T^{5} + 165870441 T^{6} - 2217271855 T^{7} + 27117736202 T^{8} - 298641620511 T^{9} + 3035712014195 T^{10} - 28046383964666 T^{11} + 239821249121405 T^{12} - 1863822353609151 T^{13} + 13370101539297878 T^{14} - 86362918351270255 T^{15} + 510392701884001959 T^{16} - 2653556277364745176 T^{17} + 12403363124253416443 T^{18} - 48286539201706023508 T^{19} +$$$$16\!\cdots\!16$$$$T^{20} -$$$$38\!\cdots\!41$$$$T^{21} +$$$$74\!\cdots\!79$$$$T^{22}$$)($$1 + 37 T + 1105 T^{2} + 25037 T^{3} + 491127 T^{4} + 8319158 T^{5} + 127058602 T^{6} + 1747643419 T^{7} + 22062467511 T^{8} + 255455090796 T^{9} + 2741158508173 T^{10} + 27197618826911 T^{11} + 251063744352914 T^{12} + 2148611887325969 T^{13} + 17107570249507693 T^{14} + 125949322510969044 T^{15} + 859334896613318391 T^{16} + 5377597365604188181 T^{17} + 30886352262235441642 T^{18} +$$$$15\!\cdots\!22$$$$T^{19} +$$$$74\!\cdots\!47$$$$T^{20} +$$$$30\!\cdots\!03$$$$T^{21} +$$$$10\!\cdots\!05$$$$T^{22} +$$$$27\!\cdots\!23$$$$T^{23} +$$$$59\!\cdots\!41$$$$T^{24}$$)($$1 + 7 T + 666 T^{2} + 3966 T^{3} + 216212 T^{4} + 1126763 T^{5} + 45845413 T^{6} + 213787293 T^{7} + 7134900695 T^{8} + 30164548415 T^{9} + 863876465774 T^{10} + 3324058355493 T^{11} + 83908955488337 T^{12} + 292728058117086 T^{13} + 6628807483578623 T^{14} + 20745448196631813 T^{15} + 425924788808747186 T^{16} + 1174911604092671615 T^{17} + 21954491839779297305 T^{18} + 51969009078092494653 T^{19} +$$$$88\!\cdots\!67$$$$T^{20} +$$$$17\!\cdots\!43$$$$T^{21} +$$$$25\!\cdots\!28$$$$T^{22} +$$$$37\!\cdots\!66$$$$T^{23} +$$$$49\!\cdots\!14$$$$T^{24} +$$$$41\!\cdots\!87$$$$T^{25} +$$$$46\!\cdots\!39$$$$T^{26}$$)($$1 - 17 T + 474 T^{2} - 5754 T^{3} + 109720 T^{4} - 1110821 T^{5} + 17405351 T^{6} - 152496831 T^{7} + 2129325399 T^{8} - 16573632681 T^{9} + 215111030146 T^{10} - 1525675616183 T^{11} + 18938845788835 T^{12} - 126205446995874 T^{13} + 1496168817317965 T^{14} - 9521741520598103 T^{15} + 106058127192153694 T^{16} - 645544335389197161 T^{17} + 6552054344546178201 T^{18} - 37070066622805953951 T^{19} +$$$$33\!\cdots\!09$$$$T^{20} -$$$$16\!\cdots\!81$$$$T^{21} +$$$$13\!\cdots\!80$$$$T^{22} -$$$$54\!\cdots\!54$$$$T^{23} +$$$$35\!\cdots\!46$$$$T^{24} -$$$$10\!\cdots\!97$$$$T^{25} +$$$$46\!\cdots\!39$$$$T^{26}$$)($$1 - 59 T + 2407 T^{2} - 71445 T^{3} + 1755844 T^{4} - 36460999 T^{5} + 665505041 T^{6} - 10797401048 T^{7} + 158556521206 T^{8} - 2121765780844 T^{9} + 26133042315189 T^{10} - 297453653405510 T^{11} + 3146959336917445 T^{12} - 31001951260452789 T^{13} + 285206931233742566 T^{14} - 2449154149575770331 T^{15} + 19640173221701774245 T^{16} -$$$$14\!\cdots\!90$$$$T^{17} +$$$$10\!\cdots\!09$$$$T^{18} -$$$$65\!\cdots\!56$$$$T^{19} +$$$$38\!\cdots\!26$$$$T^{20} -$$$$20\!\cdots\!32$$$$T^{21} +$$$$10\!\cdots\!01$$$$T^{22} -$$$$43\!\cdots\!81$$$$T^{23} +$$$$16\!\cdots\!44$$$$T^{24} -$$$$53\!\cdots\!55$$$$T^{25} +$$$$14\!\cdots\!87$$$$T^{26} -$$$$27\!\cdots\!01$$$$T^{27} +$$$$36\!\cdots\!81$$$$T^{28}$$)($$1 - 33 T + 1089 T^{2} - 21955 T^{3} + 435186 T^{4} - 6543527 T^{5} + 97884339 T^{6} - 1191992050 T^{7} + 14697771336 T^{8} - 151921536064 T^{9} + 1632154963579 T^{10} - 14939958274018 T^{11} + 147514063862501 T^{12} - 1259006663805439 T^{13} + 11989712661479842 T^{14} - 99461526440629681 T^{15} + 920635272565868741 T^{16} - 7365982087463560702 T^{17} + 63572568035954099899 T^{18} -$$$$46\!\cdots\!36$$$$T^{19} +$$$$35\!\cdots\!56$$$$T^{20} -$$$$22\!\cdots\!50$$$$T^{21} +$$$$14\!\cdots\!79$$$$T^{22} -$$$$78\!\cdots\!13$$$$T^{23} +$$$$41\!\cdots\!86$$$$T^{24} -$$$$16\!\cdots\!45$$$$T^{25} +$$$$64\!\cdots\!49$$$$T^{26} -$$$$15\!\cdots\!87$$$$T^{27} +$$$$36\!\cdots\!81$$$$T^{28}$$)($$1 + 21 T + 775 T^{2} + 13429 T^{3} + 287452 T^{4} + 4258277 T^{5} + 68796789 T^{6} + 891779172 T^{7} + 11978875046 T^{8} + 138054011422 T^{9} + 1613060027341 T^{10} + 16698475768546 T^{11} + 173602203340189 T^{12} + 1622757633749715 T^{13} + 15178391862412142 T^{14} + 128197853066227485 T^{15} + 1083451351046119549 T^{16} + 8232999794448151294 T^{17} + 62828818722794164621 T^{18} +$$$$42\!\cdots\!78$$$$T^{19} +$$$$29\!\cdots\!66$$$$T^{20} +$$$$17\!\cdots\!48$$$$T^{21} +$$$$10\!\cdots\!29$$$$T^{22} +$$$$51\!\cdots\!63$$$$T^{23} +$$$$27\!\cdots\!52$$$$T^{24} +$$$$10\!\cdots\!91$$$$T^{25} +$$$$45\!\cdots\!75$$$$T^{26} +$$$$98\!\cdots\!19$$$$T^{27} +$$$$36\!\cdots\!81$$$$T^{28}$$)($$1 - 27 T + 910 T^{2} - 18404 T^{3} + 380561 T^{4} - 6259264 T^{5} + 100308501 T^{6} - 1406356045 T^{7} + 18991686269 T^{8} - 233831106522 T^{9} + 2768926692491 T^{10} - 30504586984480 T^{11} + 323420177010880 T^{12} - 3222825558556267 T^{13} + 30922538909939857 T^{14} - 280074029752122718 T^{15} + 2442880573885248703 T^{16} - 20113654310949662347 T^{17} +$$$$15\!\cdots\!20$$$$T^{18} -$$$$11\!\cdots\!80$$$$T^{19} +$$$$85\!\cdots\!09$$$$T^{20} -$$$$56\!\cdots\!62$$$$T^{21} +$$$$36\!\cdots\!71$$$$T^{22} -$$$$21\!\cdots\!45$$$$T^{23} +$$$$12\!\cdots\!19$$$$T^{24} -$$$$59\!\cdots\!64$$$$T^{25} +$$$$28\!\cdots\!19$$$$T^{26} -$$$$10\!\cdots\!64$$$$T^{27} +$$$$42\!\cdots\!90$$$$T^{28} -$$$$99\!\cdots\!87$$$$T^{29} +$$$$29\!\cdots\!99$$$$T^{30}$$)($$1 - 13 T + 775 T^{2} - 8945 T^{3} + 289929 T^{4} - 3056030 T^{5} + 70650878 T^{6} - 693207671 T^{7} + 12711402618 T^{8} - 117556710631 T^{9} + 1809285303132 T^{10} - 15865666579748 T^{11} + 212444210262071 T^{12} - 1764614755495823 T^{13} + 21101642992512959 T^{14} - 164760112592133413 T^{15} + 1796776883123990538 T^{16} - 13016048894778539627 T^{17} +$$$$13\!\cdots\!19$$$$T^{18} -$$$$87\!\cdots\!97$$$$T^{19} +$$$$82\!\cdots\!51$$$$T^{20} -$$$$48\!\cdots\!52$$$$T^{21} +$$$$43\!\cdots\!72$$$$T^{22} -$$$$22\!\cdots\!29$$$$T^{23} +$$$$19\!\cdots\!98$$$$T^{24} -$$$$83\!\cdots\!49$$$$T^{25} +$$$$66\!\cdots\!78$$$$T^{26} -$$$$22\!\cdots\!70$$$$T^{27} +$$$$17\!\cdots\!89$$$$T^{28} -$$$$41\!\cdots\!55$$$$T^{29} +$$$$28\!\cdots\!75$$$$T^{30} -$$$$37\!\cdots\!87$$$$T^{31} +$$$$23\!\cdots\!21$$$$T^{32}$$)
$83$ ($$1 + 6 T + 83 T^{2}$$)($$1 - 8 T + 83 T^{2}$$)($$1 + T + 83 T^{2}$$)($$1 + 6 T + 83 T^{2}$$)($$1 + 12 T + 83 T^{2}$$)($$1 + 83 T^{2}$$)($$1 - 4 T + 83 T^{2}$$)($$1 - 2 T + 83 T^{2}$$)($$1 + 83 T^{2}$$)($$1 - 12 T + 83 T^{2}$$)($$1 + 6 T + 83 T^{2}$$)($$1 + 2 T + 14 T^{2} + 166 T^{3} + 6889 T^{4}$$)($$1 - 2 T + 102 T^{2} - 166 T^{3} + 6889 T^{4}$$)($$1 + 18 T + 441 T^{2} + 4723 T^{3} + 59548 T^{4} + 392009 T^{5} + 3038049 T^{6} + 10292166 T^{7} + 47458321 T^{8}$$)($$1 - 12 T + 446 T^{2} - 4743 T^{3} + 96239 T^{4} - 859806 T^{5} + 12423630 T^{6} - 91258057 T^{7} + 1031161290 T^{8} - 5923203534 T^{9} + 55028209093 T^{10} - 225094816503 T^{11} + 1756812126778 T^{12} - 3923284480428 T^{13} + 27136050989627 T^{14}$$)($$1 + 6 T + 233 T^{2} - 353 T^{3} + 16627 T^{4} - 206133 T^{5} + 1693193 T^{6} - 14679863 T^{7} + 223476998 T^{8} - 1218428629 T^{9} + 11664406577 T^{10} - 117864169671 T^{11} + 789089503267 T^{12} - 1390481346979 T^{13} + 76177106994977 T^{14} + 162816305937762 T^{15} + 2252292232139041 T^{16}$$)($$1 + 28 T + 775 T^{2} + 11623 T^{3} + 171117 T^{4} + 1590547 T^{5} + 16039995 T^{6} + 104649245 T^{7} + 1094635440 T^{8} + 8685887335 T^{9} + 110499525555 T^{10} + 909454097489 T^{11} + 8120925514557 T^{12} + 45783469393589 T^{13} + 253378789360975 T^{14} + 759809427709556 T^{15} + 2252292232139041 T^{16}$$)($$1 - 20 T + 604 T^{2} - 7955 T^{3} + 133514 T^{4} - 1257238 T^{5} + 15305398 T^{6} - 109977758 T^{7} + 1204553977 T^{8} - 8133004818 T^{9} + 99977980091 T^{10} - 757636774862 T^{11} + 8751427606226 T^{12} - 59666404577398 T^{13} + 525917072409502 T^{14} - 2600810670150395 T^{15} + 16390174797734708 T^{16} - 45045844642780820 T^{17} + 186940255267540403 T^{18}$$)($$1 - 20 T + 665 T^{2} - 10583 T^{3} + 206252 T^{4} - 2717547 T^{5} + 39755122 T^{6} - 443500612 T^{7} + 5304149359 T^{8} - 50680008772 T^{9} + 513349859410 T^{10} - 4206440728076 T^{11} + 36540284934151 T^{12} - 253587884433644 T^{13} + 1886711341270162 T^{14} - 10704528082262721 T^{15} + 67432105888102988 T^{16} - 287180827623222541 T^{17} + 1497774334372462265 T^{18} - 3738805105350808060 T^{19} + 15516041187205853449 T^{20}$$)($$1 - 18 T + 569 T^{2} - 8348 T^{3} + 159581 T^{4} - 2006094 T^{5} + 29442289 T^{6} - 323999648 T^{7} + 3986295984 T^{8} - 38881462439 T^{9} + 417843618047 T^{10} - 3633791746668 T^{11} + 34681020297901 T^{12} - 267854394742271 T^{13} + 2279312221803408 T^{14} - 15376479298671008 T^{15} + 115974372993951827 T^{16} - 655873121373310686 T^{17} + 4330398152975666287 T^{18} - 18802135553896714268 T^{19} +$$$$10\!\cdots\!07$$$$T^{20} -$$$$27\!\cdots\!82$$$$T^{21} +$$$$12\!\cdots\!67$$$$T^{22}$$)($$1 + 16 T + 472 T^{2} + 4401 T^{3} + 88401 T^{4} + 562166 T^{5} + 11222094 T^{6} + 50531917 T^{7} + 1137435267 T^{8} + 3270833838 T^{9} + 97068555563 T^{10} + 205318968620 T^{11} + 8056690111729 T^{12} + 22532774309982 T^{13} + 650370699012129 T^{14} + 2398159937731357 T^{15} + 44204284365566442 T^{16} + 183794761935357254 T^{17} + 2398854043534016427 T^{18} + 9912338113643919441 T^{19} + 88235800486279070216 T^{20} +$$$$24\!\cdots\!84$$$$T^{21} +$$$$12\!\cdots\!67$$$$T^{22}$$)($$1 - 19 T + 672 T^{2} - 8894 T^{3} + 186956 T^{4} - 1917416 T^{5} + 31354219 T^{6} - 264708379 T^{7} + 3775625321 T^{8} - 27532638971 T^{9} + 364635969903 T^{10} - 2421478738370 T^{11} + 30264785501949 T^{12} - 189672349871219 T^{13} + 2158853475418627 T^{14} - 12562615221971659 T^{15} + 123505542970522817 T^{16} - 626880702943694504 T^{17} + 5073247548816705412 T^{18} - 20031887112644630654 T^{19} +$$$$12\!\cdots\!16$$$$T^{20} -$$$$29\!\cdots\!31$$$$T^{21} +$$$$12\!\cdots\!67$$$$T^{22}$$)($$1 + 24 T + 753 T^{2} + 12791 T^{3} + 240301 T^{4} + 3213851 T^{5} + 45719477 T^{6} + 510509135 T^{7} + 6050773221 T^{8} + 59078147485 T^{9} + 622265694970 T^{10} + 5563156908874 T^{11} + 54682684150922 T^{12} + 461742023436542 T^{13} + 4286788372648330 T^{14} + 33780116716005695 T^{15} + 287159537820421941 T^{16} + 2010916231387773805 T^{17} + 14947542880615408013 T^{18} + 87211224609063723577 T^{19} +$$$$54\!\cdots\!41$$$$T^{20} +$$$$23\!\cdots\!73$$$$T^{21} +$$$$11\!\cdots\!97$$$$T^{22} +$$$$30\!\cdots\!08$$$$T^{23} +$$$$10\!\cdots\!61$$$$T^{24}$$)($$1 - 17 T + 747 T^{2} - 11982 T^{3} + 282330 T^{4} - 4121306 T^{5} + 70097218 T^{6} - 915823506 T^{7} + 12584642041 T^{8} - 146432891558 T^{9} + 1711928377951 T^{10} - 17730424063177 T^{11} + 180891835710606 T^{12} - 1665108893172028 T^{13} + 15014022363980298 T^{14} - 122144891371226353 T^{15} + 978858391443468437 T^{16} - 6949459172517754118 T^{17} + 49571416477105472363 T^{18} -$$$$29\!\cdots\!14$$$$T^{19} +$$$$19\!\cdots\!86$$$$T^{20} -$$$$92\!\cdots\!46$$$$T^{21} +$$$$52\!\cdots\!90$$$$T^{22} -$$$$18\!\cdots\!18$$$$T^{23} +$$$$96\!\cdots\!49$$$$T^{24} -$$$$18\!\cdots\!37$$$$T^{25} +$$$$88\!\cdots\!63$$$$T^{26}$$)($$1 - 13 T + 525 T^{2} - 5210 T^{3} + 124484 T^{4} - 1002252 T^{5} + 19074120 T^{6} - 130370586 T^{7} + 2254421737 T^{8} - 13369356510 T^{9} + 224626910605 T^{10} - 1169892326755 T^{11} + 19915374871540 T^{12} - 96528686048908 T^{13} + 1652976114337820 T^{14} - 8059388239015195 T^{15} + 128438747334101135 T^{16} - 634487212815019710 T^{17} + 8880258848505656891 T^{18} - 42623408063175324234 T^{19} +$$$$51\!\cdots\!40$$$$T^{20} -$$$$22\!\cdots\!32$$$$T^{21} +$$$$23\!\cdots\!52$$$$T^{22} -$$$$80\!\cdots\!90$$$$T^{23} +$$$$67\!\cdots\!75$$$$T^{24} -$$$$13\!\cdots\!93$$$$T^{25} +$$$$88\!\cdots\!63$$$$T^{26}$$)($$1 - T + 578 T^{2} - 451 T^{3} + 171663 T^{4} - 58266 T^{5} + 34522926 T^{6} + 7365824 T^{7} + 5258965667 T^{8} + 3990734318 T^{9} + 646035334504 T^{10} + 762906296233 T^{11} + 66697995009421 T^{12} + 91565920089015 T^{13} + 5936164767077296 T^{14} + 7599971367388245 T^{15} + 459482487619901269 T^{16} + 436219902404178371 T^{17} + 30659752282233207784 T^{18} + 15719664674016886474 T^{19} +$$$$17\!\cdots\!23$$$$T^{20} +$$$$19\!\cdots\!48$$$$T^{21} +$$$$77\!\cdots\!66$$$$T^{22} -$$$$10\!\cdots\!98$$$$T^{23} +$$$$26\!\cdots\!87$$$$T^{24} -$$$$58\!\cdots\!17$$$$T^{25} +$$$$61\!\cdots\!58$$$$T^{26} -$$$$88\!\cdots\!63$$$$T^{27} +$$$$73\!\cdots\!29$$$$T^{28}$$)($$1 + 25 T + 826 T^{2} + 14837 T^{3} + 300177 T^{4} + 4364942 T^{5} + 68402706 T^{6} + 852425088 T^{7} + 11274422479 T^{8} + 124553623990 T^{9} + 1454382814530 T^{10} + 14570091380449 T^{11} + 154285125617853 T^{12} + 1421274293530685 T^{13} + 13852164490995784 T^{14} + 117965766363046855 T^{15} + 1062870230381389317 T^{16} + 8330988840152792363 T^{17} + 69022566468848204130 T^{18} +$$$$49\!\cdots\!70$$$$T^{19} +$$$$36\!\cdots\!51$$$$T^{20} +$$$$23\!\cdots\!76$$$$T^{21} +$$$$15\!\cdots\!46$$$$T^{22} +$$$$81\!\cdots\!26$$$$T^{23} +$$$$46\!\cdots\!73$$$$T^{24} +$$$$19\!\cdots\!79$$$$T^{25} +$$$$88\!\cdots\!86$$$$T^{26} +$$$$22\!\cdots\!75$$$$T^{27} +$$$$73\!\cdots\!29$$$$T^{28}$$)($$1 + 40 T + 1489 T^{2} + 36375 T^{3} + 815996 T^{4} + 14737335 T^{5} + 247530180 T^{6} + 3587969428 T^{7} + 49040298776 T^{8} + 598999223560 T^{9} + 6997481642155 T^{10} + 74730470575341 T^{11} + 774154667115923 T^{12} + 7447656544893681 T^{13} + 70193975652690912 T^{14} + 618155493226175523 T^{15} + 5333151501761593547 T^{16} + 42729911578862504367 T^{17} +$$$$33\!\cdots\!55$$$$T^{18} +$$$$23\!\cdots\!80$$$$T^{19} +$$$$16\!\cdots\!44$$$$T^{20} +$$$$97\!\cdots\!56$$$$T^{21} +$$$$55\!\cdots\!80$$$$T^{22} +$$$$27\!\cdots\!05$$$$T^{23} +$$$$12\!\cdots\!04$$$$T^{24} +$$$$46\!\cdots\!25$$$$T^{25} +$$$$15\!\cdots\!29$$$$T^{26} +$$$$35\!\cdots\!20$$$$T^{27} +$$$$73\!\cdots\!29$$$$T^{28}$$)($$1 - 7 T + 803 T^{2} - 6078 T^{3} + 320913 T^{4} - 2495885 T^{5} + 84851115 T^{6} - 653557372 T^{7} + 16575535401 T^{8} - 123233920374 T^{9} + 2528376058709 T^{10} - 17803860830837 T^{11} + 310540724025273 T^{12} - 2037881282757994 T^{13} + 31235525263958377 T^{14} - 187948737106099098 T^{15} + 2592548596908545291 T^{16} - 14038964156919820666 T^{17} +$$$$17\!\cdots\!51$$$$T^{18} -$$$$84\!\cdots\!77$$$$T^{19} +$$$$99\!\cdots\!87$$$$T^{20} -$$$$40\!\cdots\!06$$$$T^{21} +$$$$44\!\cdots\!27$$$$T^{22} -$$$$14\!\cdots\!52$$$$T^{23} +$$$$15\!\cdots\!45$$$$T^{24} -$$$$38\!\cdots\!65$$$$T^{25} +$$$$41\!\cdots\!71$$$$T^{26} -$$$$64\!\cdots\!58$$$$T^{27} +$$$$71\!\cdots\!89$$$$T^{28} -$$$$51\!\cdots\!03$$$$T^{29} +$$$$61\!\cdots\!07$$$$T^{30}$$)($$1 - 39 T + 1238 T^{2} - 27953 T^{3} + 559862 T^{4} - 9568089 T^{5} + 150555772 T^{6} - 2148033125 T^{7} + 28809842394 T^{8} - 360796910182 T^{9} + 4303964232376 T^{10} - 48724320977567 T^{11} + 529549317747542 T^{12} - 5508676566066797 T^{13} + 55217376675221526 T^{14} - 531723737916086202 T^{15} + 4939932734933838930 T^{16} - 44133070247035154766 T^{17} +$$$$38\!\cdots\!14$$$$T^{18} -$$$$31\!\cdots\!39$$$$T^{19} +$$$$25\!\cdots\!82$$$$T^{20} -$$$$19\!\cdots\!81$$$$T^{21} +$$$$14\!\cdots\!44$$$$T^{22} -$$$$97\!\cdots\!14$$$$T^{23} +$$$$64\!\cdots\!54$$$$T^{24} -$$$$40\!\cdots\!75$$$$T^{25} +$$$$23\!\cdots\!28$$$$T^{26} -$$$$12\!\cdots\!63$$$$T^{27} +$$$$59\!\cdots\!82$$$$T^{28} -$$$$24\!\cdots\!39$$$$T^{29} +$$$$91\!\cdots\!02$$$$T^{30} -$$$$23\!\cdots\!73$$$$T^{31} +$$$$50\!\cdots\!81$$$$T^{32}$$)
$89$ ($$1 + 10 T + 89 T^{2}$$)($$1 - 12 T + 89 T^{2}$$)($$1 + 8 T + 89 T^{2}$$)($$1 - 10 T + 89 T^{2}$$)($$1 + 14 T + 89 T^{2}$$)($$1 - 4 T + 89 T^{2}$$)($$1 - 10 T + 89 T^{2}$$)($$1 + 6 T + 89 T^{2}$$)($$1 - 8 T + 89 T^{2}$$)($$1 + 2 T + 89 T^{2}$$)($$1 + 10 T + 89 T^{2}$$)($$( 1 - 2 T + 89 T^{2} )^{2}$$)($$1 + 10 T + 138 T^{2} + 890 T^{3} + 7921 T^{4}$$)($$1 + 14 T + 324 T^{2} + 3042 T^{3} + 40518 T^{4} + 270738 T^{5} + 2566404 T^{6} + 9869566 T^{7} + 62742241 T^{8}$$)($$1 + 9 T + 340 T^{2} + 1689 T^{3} + 41782 T^{4} - 2472 T^{5} + 2633172 T^{6} - 14512419 T^{7} + 234352308 T^{8} - 19580712 T^{9} + 29455014758 T^{10} + 105971645049 T^{11} + 1898580212660 T^{12} + 4472831618649 T^{13} + 44231334895529 T^{14}$$)($$1 + 17 T + 577 T^{2} + 8160 T^{3} + 157580 T^{4} + 1840495 T^{5} + 26062700 T^{6} + 251322627 T^{7} + 2830404494 T^{8} + 22367713803 T^{9} + 206442646700 T^{10} + 1297491919655 T^{11} + 9886922336780 T^{12} + 45565925103840 T^{13} + 286758204884497 T^{14} + 751932693223993 T^{15} + 3936588805702081 T^{16}$$)($$1 + 2 T + 446 T^{2} + 766 T^{3} + 97931 T^{4} + 110033 T^{5} + 13928016 T^{6} + 10186355 T^{7} + 1430090001 T^{8} + 906585595 T^{9} + 110323814736 T^{10} + 77569853977 T^{11} + 6144410403371 T^{12} + 4277389537934 T^{13} + 221653655768606 T^{14} + 88462669791058 T^{15} + 3936588805702081 T^{16}$$)($$1 - 3 T + 350 T^{2} - 1263 T^{3} + 58339 T^{4} - 206631 T^{5} + 6828624 T^{6} - 16185020 T^{7} + 686865500 T^{8} - 1029803626 T^{9} + 61131029500 T^{10} - 128201543420 T^{11} + 4813968232656 T^{12} - 12964492000071 T^{13} + 325768444195211 T^{14} - 627687370483743 T^{15} + 15480967213435150 T^{16} - 11809766417106243 T^{17} + 350356403707485209 T^{18}$$)($$1 - 22 T + 794 T^{2} - 12610 T^{3} + 265034 T^{4} - 3350801 T^{5} + 52699890 T^{6} - 559879199 T^{7} + 7246733328 T^{8} - 66580491672 T^{9} + 740261461294 T^{10} - 5925663758808 T^{11} + 57401374691088 T^{12} - 394697479039831 T^{13} + 3306509199053490 T^{14} - 18711071985768649 T^{15} + 131716939468557674 T^{16} - 557757133032620690 T^{17} + 3125651511727452314 T^{18} - 7707840881564674598 T^{19} + 31181719929966183601 T^{20}$$)($$1 - 67 T + 2608 T^{2} - 73749 T^{3} + 1670774 T^{4} - 31859858 T^{5} + 527303976 T^{6} - 7723201285 T^{7} + 101441108629 T^{8} - 1205360293283 T^{9} + 13032085307828 T^{10} - 128613549428396 T^{11} + 1159855592396692 T^{12} - 9547658883094643 T^{13} + 71512836909077501 T^{14} - 484570956314979685 T^{15} + 2944496749678069224 T^{16} - 15833753358674143538 T^{17} + 73900564328742569446 T^{18} -$$$$29\!\cdots\!69$$$$T^{19} +$$$$91\!\cdots\!72$$$$T^{20} -$$$$20\!\cdots\!67$$$$T^{21} +$$$$27\!\cdots\!89$$$$T^{22}$$)($$1 + 2 T + 373 T^{2} + 1730 T^{3} + 59328 T^{4} + 386819 T^{5} + 5352366 T^{6} + 29357950 T^{7} + 303165090 T^{8} - 1063103067 T^{9} + 12325808272 T^{10} - 302795014824 T^{11} + 1096996936208 T^{12} - 8420839393707 T^{13} + 213721990332210 T^{14} + 1841983574165950 T^{15} + 29887929936806334 T^{16} + 192241805988243059 T^{17} + 2624156636681944512 T^{18} + 6810298633864600130 T^{19} +$$$$13\!\cdots\!57$$$$T^{20} + 62363439859932367202 T^{21} +$$$$27\!\cdots\!89$$$$T^{22}$$)($$1 - 32 T + 737 T^{2} - 12110 T^{3} + 178130 T^{4} - 2224893 T^{5} + 26830182 T^{6} - 294866004 T^{7} + 3198934300 T^{8} - 31904252221 T^{9} + 318517941246 T^{10} - 2985282062736 T^{11} + 28348096770894 T^{12} - 252713581842541 T^{13} + 2255149514536700 T^{14} - 18500553885674964 T^{15} + 149821331315489718 T^{16} - 1105730195390092173 T^{17} + 7878927684940580770 T^{18} - 47672090437052200910 T^{19} +$$$$25\!\cdots\!33$$$$T^{20} -$$$$99\!\cdots\!32$$$$T^{21} +$$$$27\!\cdots\!89$$$$T^{22}$$)($$1 - 15 T + 841 T^{2} - 11662 T^{3} + 344802 T^{4} - 4319083 T^{5} + 89943638 T^{6} - 1006107027 T^{7} + 16494253885 T^{8} - 163662185312 T^{9} + 2230819592745 T^{10} - 19500674759813 T^{11} + 227730176149968 T^{12} - 1735560053623357 T^{13} + 17670321994133145 T^{14} - 115376767117215328 T^{15} + 1034886452367856285 T^{16} - 5618161450824648123 T^{17} + 44700305326968856118 T^{18} -$$$$19\!\cdots\!07$$$$T^{19} +$$$$13\!\cdots\!62$$$$T^{20} -$$$$40\!\cdots\!58$$$$T^{21} +$$$$26\!\cdots\!41$$$$T^{22} -$$$$41\!\cdots\!35$$$$T^{23} +$$$$24\!\cdots\!21$$$$T^{24}$$)($$1 + 12 T + 531 T^{2} + 6016 T^{3} + 150579 T^{4} + 1541597 T^{5} + 29147971 T^{6} + 265730610 T^{7} + 4248135242 T^{8} + 34812908136 T^{9} + 500190450476 T^{10} + 3751238541798 T^{11} + 50320475683808 T^{12} + 352861386205326 T^{13} + 4478522335858912 T^{14} + 29713560489581958 T^{15} + 352618761681615244 T^{16} + 2184239872179772776 T^{17} + 23721839738720001658 T^{18} +$$$$13\!\cdots\!10$$$$T^{19} +$$$$12\!\cdots\!59$$$$T^{20} +$$$$60\!\cdots\!57$$$$T^{21} +$$$$52\!\cdots\!11$$$$T^{22} +$$$$18\!\cdots\!16$$$$T^{23} +$$$$14\!\cdots\!59$$$$T^{24} +$$$$29\!\cdots\!52$$$$T^{25} +$$$$21\!\cdots\!69$$$$T^{26}$$)($$1 - 14 T + 893 T^{2} - 9976 T^{3} + 358111 T^{4} - 3212529 T^{5} + 86874731 T^{6} - 623018848 T^{7} + 14557512254 T^{8} - 83111773324 T^{9} + 1844464004430 T^{10} - 8575604633208 T^{11} + 190802854208908 T^{12} - 782594002264202 T^{13} + 16981454024592812 T^{14} - 67927364299640568 T^{15} + 1300289944739012670 T^{16} - 5214618911831779084 T^{17} + 81290013855881988046 T^{18} -$$$$30\!\cdots\!28$$$$T^{19} +$$$$38\!\cdots\!99$$$$T^{20} -$$$$12\!\cdots\!49$$$$T^{21} +$$$$12\!\cdots\!99$$$$T^{22} -$$$$31\!\cdots\!76$$$$T^{23} +$$$$24\!\cdots\!77$$$$T^{24} -$$$$34\!\cdots\!94$$$$T^{25} +$$$$21\!\cdots\!69$$$$T^{26}$$)($$1 - 6 T + 314 T^{2} - 1552 T^{3} + 53306 T^{4} - 187401 T^{5} + 6529520 T^{6} - 13363945 T^{7} + 697212845 T^{8} - 486604536 T^{9} + 64791377804 T^{10} + 53496142742 T^{11} + 5464351022744 T^{12} + 12805961052930 T^{13} + 458759171432148 T^{14} + 1139730533710770 T^{15} + 43283124451155224 T^{16} + 37713122252684998 T^{17} + 4065156240900618764 T^{18} - 2717228657177060664 T^{19} +$$$$34\!\cdots\!45$$$$T^{20} -$$$$59\!\cdots\!05$$$$T^{21} +$$$$25\!\cdots\!20$$$$T^{22} -$$$$65\!\cdots\!09$$$$T^{23} +$$$$16\!\cdots\!06$$$$T^{24} -$$$$43\!\cdots\!28$$$$T^{25} +$$$$77\!\cdots\!94$$$$T^{26} -$$$$13\!\cdots\!14$$$$T^{27} +$$$$19\!\cdots\!41$$$$T^{28}$$)($$1 - 3 T + 629 T^{2} - 1848 T^{3} + 186017 T^{4} - 533416 T^{5} + 34890189 T^{6} - 93023627 T^{7} + 4727064917 T^{8} - 10662916229 T^{9} + 503981695563 T^{10} - 855474831760 T^{11} + 46288243965721 T^{12} - 58080317869029 T^{13} + 4082640989018310 T^{14} - 5169148290343581 T^{15} + 366649180452476041 T^{16} - 603083236671015440 T^{17} + 31620941002602376683 T^{18} - 59542358122442897821 T^{19} +$$$$23\!\cdots\!37$$$$T^{20} -$$$$41\!\cdots\!83$$$$T^{21} +$$$$13\!\cdots\!09$$$$T^{22} -$$$$18\!\cdots\!44$$$$T^{23} +$$$$58\!\cdots\!17$$$$T^{24} -$$$$51\!\cdots\!72$$$$T^{25} +$$$$15\!\cdots\!09$$$$T^{26} -$$$$65\!\cdots\!07$$$$T^{27} +$$$$19\!\cdots\!41$$$$T^{28}$$)($$1 + 48 T + 1746 T^{2} + 47342 T^{3} + 1100728 T^{4} + 22059597 T^{5} + 396813094 T^{6} + 6440871499 T^{7} + 95971599569 T^{8} + 1317084657840 T^{9} + 16797056961134 T^{10} + 199376003767338 T^{11} + 2213791916248950 T^{12} + 22996361109544056 T^{13} + 224121753113991348 T^{14} + 2046676138749420984 T^{15} + 17535445768607932950 T^{16} +$$$$14\!\cdots\!22$$$$T^{17} +$$$$10\!\cdots\!94$$$$T^{18} +$$$$73\!\cdots\!60$$$$T^{19} +$$$$47\!\cdots\!09$$$$T^{20} +$$$$28\!\cdots\!71$$$$T^{21} +$$$$15\!\cdots\!14$$$$T^{22} +$$$$77\!\cdots\!73$$$$T^{23} +$$$$34\!\cdots\!28$$$$T^{24} +$$$$13\!\cdots\!38$$$$T^{25} +$$$$43\!\cdots\!66$$$$T^{26} +$$$$10\!\cdots\!12$$$$T^{27} +$$$$19\!\cdots\!41$$$$T^{28}$$)($$1 - 35 T + 1232 T^{2} - 27319 T^{3} + 587810 T^{4} - 9969660 T^{5} + 165094388 T^{6} - 2331344325 T^{7} + 32445012640 T^{8} - 399770682470 T^{9} + 4895813405688 T^{10} - 54196917574773 T^{11} + 600693274693670 T^{12} - 6091283663324139 T^{13} + 62174942885772339 T^{14} - 584045746436932254 T^{15} + 5533569916833738171 T^{16} - 48249057897190505019 T^{17} +$$$$42\!\cdots\!30$$$$T^{18} -$$$$34\!\cdots\!93$$$$T^{19} +$$$$27\!\cdots\!12$$$$T^{20} -$$$$19\!\cdots\!70$$$$T^{21} +$$$$14\!\cdots\!60$$$$T^{22} -$$$$91\!\cdots\!25$$$$T^{23} +$$$$57\!\cdots\!92$$$$T^{24} -$$$$31\!\cdots\!60$$$$T^{25} +$$$$16\!\cdots\!90$$$$T^{26} -$$$$67\!\cdots\!99$$$$T^{27} +$$$$27\!\cdots\!08$$$$T^{28} -$$$$68\!\cdots\!35$$$$T^{29} +$$$$17\!\cdots\!49$$$$T^{30}$$)($$1 - 9 T + 685 T^{2} - 5312 T^{3} + 236340 T^{4} - 1586649 T^{5} + 55425874 T^{6} - 328282965 T^{7} + 10036323760 T^{8} - 53526070565 T^{9} + 1494977776540 T^{10} - 7283797771011 T^{11} + 189005283129452 T^{12} - 849011488066604 T^{13} + 20626626362065045 T^{14} - 86079699007121821 T^{15} + 1962582005966434910 T^{16} - 7661093211633842069 T^{17} +$$$$16\!\cdots\!45$$$$T^{18} -$$$$59\!\cdots\!76$$$$T^{19} +$$$$11\!\cdots\!32$$$$T^{20} -$$$$40\!\cdots\!39$$$$T^{21} +$$$$74\!\cdots\!40$$$$T^{22} -$$$$23\!\cdots\!85$$$$T^{23} +$$$$39\!\cdots\!60$$$$T^{24} -$$$$11\!\cdots\!85$$$$T^{25} +$$$$17\!\cdots\!74$$$$T^{26} -$$$$44\!\cdots\!61$$$$T^{27} +$$$$58\!\cdots\!40$$$$T^{28} -$$$$11\!\cdots\!28$$$$T^{29} +$$$$13\!\cdots\!85$$$$T^{30} -$$$$15\!\cdots\!41$$$$T^{31} +$$$$15\!\cdots\!61$$$$T^{32}$$)
$97$ ($$1 + 8 T + 97 T^{2}$$)($$1 - 8 T + 97 T^{2}$$)($$1 - 14 T + 97 T^{2}$$)($$1 + 2 T + 97 T^{2}$$)($$1 + 14 T + 97 T^{2}$$)($$1 + 8 T + 97 T^{2}$$)($$1 - 18 T + 97 T^{2}$$)($$1 - 8 T + 97 T^{2}$$)($$1 - 2 T + 97 T^{2}$$)($$1 + 14 T + 97 T^{2}$$)($$1 + 12 T + 97 T^{2}$$)($$1 + 8 T + 142 T^{2} + 776 T^{3} + 9409 T^{4}$$)($$1 + 4 T - 62 T^{2} + 388 T^{3} + 9409 T^{4}$$)($$1 - 20 T + 144 T^{2} + 1724 T^{3} - 32354 T^{4} + 167228 T^{5} + 1354896 T^{6} - 18253460 T^{7} + 88529281 T^{8}$$)($$1 + 3 T + 307 T^{2} + 1782 T^{3} + 44866 T^{4} + 386761 T^{5} + 4801989 T^{6} + 46932733 T^{7} + 465792933 T^{8} + 3639034249 T^{9} + 40947986818 T^{10} + 157759178742 T^{11} + 2636313458899 T^{12} + 2498916014787 T^{13} + 80798284478113 T^{14}$$)($$1 - 19 T + 384 T^{2} - 4715 T^{3} + 57951 T^{4} - 602037 T^{5} + 6955159 T^{6} - 76098654 T^{7} + 782771872 T^{8} - 7381569438 T^{9} + 65441091031 T^{10} - 549462914901 T^{11} + 5130360363231 T^{12} - 40489309311755 T^{13} + 319861249892736 T^{14} - 1535167405084147 T^{15} + 7837433594376961 T^{16}$$)($$1 + 30 T + 867 T^{2} + 14706 T^{3} + 245585 T^{4} + 2986073 T^{5} + 37779248 T^{6} + 377683163 T^{7} + 4127980869 T^{8} + 36635266811 T^{9} + 355464944432 T^{10} + 2725308203129 T^{11} + 21741463474385 T^{12} + 126285425819442 T^{13} + 722186728273443 T^{14} + 2423948534343390 T^{15} + 7837433594376961 T^{16}$$)($$1 + 19 T + 793 T^{2} + 12520 T^{3} + 287601 T^{4} + 3773718 T^{5} + 62226404 T^{6} + 681492277 T^{7} + 8847368525 T^{8} + 80684784892 T^{9} + 858194746925 T^{10} + 6412160834293 T^{11} + 56792358817892 T^{12} + 334084541236758 T^{13} + 2469727645253457 T^{14} + 10428809501711080 T^{15} + 64073039591143609 T^{16} + 148911238293162259 T^{17} + 760231058654565217 T^{18}$$)($$1 + 10 T + 751 T^{2} + 6378 T^{3} + 267320 T^{4} + 1972103 T^{5} + 59788995 T^{6} + 385449599 T^{7} + 9305486822 T^{8} + 52173647406 T^{9} + 1052313453378 T^{10} + 5060843798382 T^{11} + 87555325508198 T^{12} + 351789441868127 T^{13} + 5293076739062595 T^{14} + 16935119482850471 T^{15} + 222670076357620280 T^{16} + 515331458401404714 T^{17} + 5885912629377097711 T^{18} + 7602310586545652170 T^{19} + 73742412689492826049 T^{20}$$)($$1 + 15 T + 621 T^{2} + 8458 T^{3} + 201036 T^{4} + 2438103 T^{5} + 43152015 T^{6} + 469013105 T^{7} + 6815240704 T^{8} + 66574290538 T^{9} + 834018024383 T^{10} + 7297565312058 T^{11} + 80899748365151 T^{12} + 626397499672042 T^{13} + 6220086179041792 T^{14} + 41521392965227505 T^{15} + 370561035580167855 T^{16} + 2030871544133409687 T^{17} + 16243363918341925068 T^{18} + 66289013341240336138 T^{19} +$$$$47\!\cdots\!57$$$$T^{20} +$$$$11\!\cdots\!35$$$$T^{21} +$$$$71\!\cdots\!53$$$$T^{22}$$)($$1 + 10 T + 668 T^{2} + 5964 T^{3} + 209863 T^{4} + 1666711 T^{5} + 42169765 T^{6} + 297153066 T^{7} + 6236322519 T^{8} + 39154729327 T^{9} + 733840332424 T^{10} + 4162266502532 T^{11} + 71182512245128 T^{12} + 368406848237743 T^{13} + 5691723182383287 T^{14} + 26306747279925546 T^{15} + 362126120612729605 T^{16} + 1388323603307218519 T^{17} + 16956570375430228519 T^{18} + 46742453956864195404 T^{19} +$$$$50\!\cdots\!56$$$$T^{20} +$$$$73\!\cdots\!90$$$$T^{21} +$$$$71\!\cdots\!53$$$$T^{22}$$)($$1 + 16 T + 714 T^{2} + 7608 T^{3} + 216879 T^{4} + 1742645 T^{5} + 43101471 T^{6} + 288336086 T^{7} + 6566757567 T^{8} + 37997410219 T^{9} + 790655981656 T^{10} + 4051916832740 T^{11} + 76693630220632 T^{12} + 357517632750571 T^{13} + 5993302328946591 T^{14} + 25526186379934166 T^{15} + 370126997054218047 T^{16} + 1451574499529497205 T^{17} + 17523451139328669327 T^{18} + 59627194786019919288 T^{19} +$$$$54\!\cdots\!38$$$$T^{20} +$$$$11\!\cdots\!84$$$$T^{21} +$$$$71\!\cdots\!53$$$$T^{22}$$)($$1 + 11 T + 1026 T^{2} + 10059 T^{3} + 492409 T^{4} + 4310715 T^{5} + 146403265 T^{6} + 1142816468 T^{7} + 30068791037 T^{8} + 208306392171 T^{9} + 4498037411981 T^{10} + 27417640536048 T^{11} + 502791327262770 T^{12} + 2659511131996656 T^{13} + 42322034009329229 T^{14} + 190115619861883083 T^{15} + 2661968451044854397 T^{16} + 9813753862018952276 T^{17} +$$$$12\!\cdots\!85$$$$T^{18} +$$$$34\!\cdots\!95$$$$T^{19} +$$$$38\!\cdots\!49$$$$T^{20} +$$$$76\!\cdots\!03$$$$T^{21} +$$$$75\!\cdots\!74$$$$T^{22} +$$$$78\!\cdots\!83$$$$T^{23} +$$$$69\!\cdots\!41$$$$T^{24}$$)($$1 + 42 T + 1908 T^{2} + 52434 T^{3} + 1409752 T^{4} + 29235853 T^{5} + 581942751 T^{6} + 9713128072 T^{7} + 154994147480 T^{8} + 2153837439916 T^{9} + 28605686577873 T^{10} + 337031300350094 T^{11} + 3796582535716027 T^{12} + 38237088196994506 T^{13} + 368268505964454619 T^{14} + 3171127504994034446 T^{15} + 26107637786087084529 T^{16} +$$$$19\!\cdots\!96$$$$T^{17} +$$$$13\!\cdots\!60$$$$T^{18} +$$$$80\!\cdots\!88$$$$T^{19} +$$$$47\!\cdots\!63$$$$T^{20} +$$$$22\!\cdots\!33$$$$T^{21} +$$$$10\!\cdots\!84$$$$T^{22} +$$$$38\!\cdots\!66$$$$T^{23} +$$$$13\!\cdots\!24$$$$T^{24} +$$$$29\!\cdots\!22$$$$T^{25} +$$$$67\!\cdots\!77$$$$T^{26}$$)($$1 - 46 T + 1814 T^{2} - 48110 T^{3} + 1136778 T^{4} - 21857435 T^{5} + 384959219 T^{6} - 5892700340 T^{7} + 84305542616 T^{8} - 1084305973884 T^{9} + 13249273926983 T^{10} - 148620823050822 T^{11} + 1603545598731357 T^{12} - 16063777032627910 T^{13} + 155543923076941629 T^{14} - 1398373324085184198 T^{15} + 12092254582761355559 T^{16} - 95992828251955297404 T^{17} +$$$$72\!\cdots\!12$$$$T^{18} -$$$$49\!\cdots\!60$$$$T^{19} +$$$$31\!\cdots\!47$$$$T^{20} -$$$$17\!\cdots\!35$$$$T^{21} +$$$$86\!\cdots\!26$$$$T^{22} -$$$$35\!\cdots\!90$$$$T^{23} +$$$$12\!\cdots\!42$$$$T^{24} -$$$$31\!\cdots\!86$$$$T^{25} +$$$$67\!\cdots\!77$$$$T^{26}$$)($$1 + 6 T + 539 T^{2} + 4360 T^{3} + 176400 T^{4} + 1470473 T^{5} + 41966887 T^{6} + 343070551 T^{7} + 7783476451 T^{8} + 61109403984 T^{9} + 1174953427935 T^{10} + 8706554053390 T^{11} + 147557628968604 T^{12} + 1018584151007508 T^{13} + 15576640897061022 T^{14} + 98802662647728276 T^{15} + 1388369730965595036 T^{16} + 7946236807569611470 T^{17} +$$$$10\!\cdots\!35$$$$T^{18} +$$$$52\!\cdots\!88$$$$T^{19} +$$$$64\!\cdots\!79$$$$T^{20} +$$$$27\!\cdots\!63$$$$T^{21} +$$$$32\!\cdots\!07$$$$T^{22} +$$$$11\!\cdots\!41$$$$T^{23} +$$$$13\!\cdots\!00$$$$T^{24} +$$$$31\!\cdots\!80$$$$T^{25} +$$$$37\!\cdots\!99$$$$T^{26} +$$$$40\!\cdots\!62$$$$T^{27} +$$$$65\!\cdots\!69$$$$T^{28}$$)($$1 - 11 T + 624 T^{2} - 5689 T^{3} + 175816 T^{4} - 1324798 T^{5} + 29812767 T^{6} - 188735535 T^{7} + 3513075222 T^{8} - 20153207198 T^{9} + 333728514676 T^{10} - 2026678003970 T^{11} + 30373819549249 T^{12} - 210293383957295 T^{13} + 2887845488774970 T^{14} - 20398458243857615 T^{15} + 285787268138883841 T^{16} - 1849694293917311810 T^{17} + 29544745453464227956 T^{18} -$$$$17\!\cdots\!86$$$$T^{19} +$$$$29\!\cdots\!38$$$$T^{20} -$$$$15\!\cdots\!55$$$$T^{21} +$$$$23\!\cdots\!87$$$$T^{22} -$$$$10\!\cdots\!66$$$$T^{23} +$$$$12\!\cdots\!84$$$$T^{24} -$$$$40\!\cdots\!17$$$$T^{25} +$$$$43\!\cdots\!84$$$$T^{26} -$$$$74\!\cdots\!47$$$$T^{27} +$$$$65\!\cdots\!69$$$$T^{28}$$)($$1 - 18 T + 601 T^{2} - 9834 T^{3} + 207402 T^{4} - 2942663 T^{5} + 49182557 T^{6} - 631164431 T^{7} + 9013761651 T^{8} - 105528788834 T^{9} + 1343957536229 T^{10} - 14495773419210 T^{11} + 167194987366978 T^{12} - 1664560628547234 T^{13} + 17619370405805322 T^{14} - 161462380969081698 T^{15} + 1573137636135896002 T^{16} - 13229901013830648330 T^{17} +$$$$11\!\cdots\!49$$$$T^{18} -$$$$90\!\cdots\!38$$$$T^{19} +$$$$75\!\cdots\!79$$$$T^{20} -$$$$50\!\cdots\!03$$$$T^{21} +$$$$38\!\cdots\!77$$$$T^{22} -$$$$22\!\cdots\!71$$$$T^{23} +$$$$15\!\cdots\!98$$$$T^{24} -$$$$70\!\cdots\!02$$$$T^{25} +$$$$41\!\cdots\!41$$$$T^{26} -$$$$12\!\cdots\!86$$$$T^{27} +$$$$65\!\cdots\!69$$$$T^{28}$$)($$1 - 19 T + 1013 T^{2} - 16060 T^{3} + 496672 T^{4} - 6871349 T^{5} + 158516831 T^{6} - 1956969685 T^{7} + 36984580873 T^{8} - 412417120207 T^{9} + 6688966113246 T^{10} - 67778641389360 T^{11} + 968687130938725 T^{12} - 8935899536293225 T^{13} + 114351538528897631 T^{14} - 958724353660235134 T^{15} + 11092099237303070207 T^{16} - 84077878736982954025 T^{17} +$$$$88\!\cdots\!25$$$$T^{18} -$$$$60\!\cdots\!60$$$$T^{19} +$$$$57\!\cdots\!22$$$$T^{20} -$$$$34\!\cdots\!03$$$$T^{21} +$$$$29\!\cdots\!49$$$$T^{22} -$$$$15\!\cdots\!85$$$$T^{23} +$$$$12\!\cdots\!27$$$$T^{24} -$$$$50\!\cdots\!01$$$$T^{25} +$$$$35\!\cdots\!16$$$$T^{26} -$$$$11\!\cdots\!60$$$$T^{27} +$$$$68\!\cdots\!01$$$$T^{28} -$$$$12\!\cdots\!11$$$$T^{29} +$$$$63\!\cdots\!93$$$$T^{30}$$)($$1 - 35 T + 1528 T^{2} - 38061 T^{3} + 988783 T^{4} - 19478483 T^{5} + 381496493 T^{6} - 6282347494 T^{7} + 101281076724 T^{8} - 1443044226028 T^{9} + 20048497517841 T^{10} - 253126336351305 T^{11} + 3118810776277033 T^{12} - 35509515023167295 T^{13} + 395496750669768458 T^{14} - 4108810659268075107 T^{15} + 41835419836014023142 T^{16} -$$$$39\!\cdots\!79$$$$T^{17} +$$$$37\!\cdots\!22$$$$T^{18} -$$$$32\!\cdots\!35$$$$T^{19} +$$$$27\!\cdots\!73$$$$T^{20} -$$$$21\!\cdots\!85$$$$T^{21} +$$$$16\!\cdots\!89$$$$T^{22} -$$$$11\!\cdots\!64$$$$T^{23} +$$$$79\!\cdots\!64$$$$T^{24} -$$$$47\!\cdots\!98$$$$T^{25} +$$$$28\!\cdots\!57$$$$T^{26} -$$$$13\!\cdots\!99$$$$T^{27} +$$$$68\!\cdots\!03$$$$T^{28} -$$$$25\!\cdots\!97$$$$T^{29} +$$$$99\!\cdots\!32$$$$T^{30} -$$$$22\!\cdots\!55$$$$T^{31} +$$$$61\!\cdots\!21$$$$T^{32}$$)