Properties

Label 8046.2
Level 8046
Weight 2
Dimension 473556
Nonzero newspaces 18
Sturm bound 7192800

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Defining parameters

Level: \( N \) = \( 8046 = 2 \cdot 3^{3} \cdot 149 \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 18 \)
Sturm bound: \(7192800\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(8046))\).

Total New Old
Modular forms 1807080 473556 1333524
Cusp forms 1789321 473556 1315765
Eisenstein series 17759 0 17759

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(8046))\)

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
8046.2.a \(\chi_{8046}(1, \cdot)\) 8046.2.a.a 1 1
8046.2.a.b 1
8046.2.a.c 2
8046.2.a.d 2
8046.2.a.e 8
8046.2.a.f 8
8046.2.a.g 9
8046.2.a.h 9
8046.2.a.i 12
8046.2.a.j 12
8046.2.a.k 12
8046.2.a.l 12
8046.2.a.m 12
8046.2.a.n 12
8046.2.a.o 12
8046.2.a.p 12
8046.2.a.q 14
8046.2.a.r 14
8046.2.a.s 16
8046.2.a.t 16
8046.2.d \(\chi_{8046}(595, \cdot)\) n/a 200 1
8046.2.e \(\chi_{8046}(2683, \cdot)\) n/a 296 2
8046.2.f \(\chi_{8046}(701, \cdot)\) n/a 400 2
8046.2.h \(\chi_{8046}(3277, \cdot)\) n/a 300 2
8046.2.k \(\chi_{8046}(895, \cdot)\) n/a 2664 6
8046.2.m \(\chi_{8046}(1385, \cdot)\) n/a 600 4
8046.2.n \(\chi_{8046}(1489, \cdot)\) n/a 2700 6
8046.2.r \(\chi_{8046}(491, \cdot)\) n/a 5400 12
8046.2.s \(\chi_{8046}(379, \cdot)\) n/a 7200 36
8046.2.t \(\chi_{8046}(217, \cdot)\) n/a 7200 36
8046.2.w \(\chi_{8046}(19, \cdot)\) n/a 10800 72
8046.2.y \(\chi_{8046}(161, \cdot)\) n/a 14400 72
8046.2.bb \(\chi_{8046}(235, \cdot)\) n/a 10800 72
8046.2.bc \(\chi_{8046}(25, \cdot)\) n/a 97200 216
8046.2.bd \(\chi_{8046}(71, \cdot)\) n/a 21600 144
8046.2.bh \(\chi_{8046}(7, \cdot)\) n/a 97200 216
8046.2.bi \(\chi_{8046}(11, \cdot)\) n/a 194400 432

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

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(8046))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(8046)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(18))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(27))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(54))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(149))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(298))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(447))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(894))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1341))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(2682))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(4023))\)\(^{\oplus 2}\)

Hecke Characteristic Polynomials

$p$ $F_p(T)$
$2$ (\( 1 + T \))(\( 1 - T \))(\( ( 1 + T )^{2} \))(\( ( 1 - T )^{2} \))(\( ( 1 + T )^{8} \))(\( ( 1 - T )^{8} \))(\( ( 1 + T )^{9} \))(\( ( 1 - T )^{9} \))(\( ( 1 + T )^{12} \))(\( ( 1 + T )^{12} \))(\( ( 1 + T )^{12} \))(\( ( 1 + T )^{12} \))(\( ( 1 - T )^{12} \))(\( ( 1 - T )^{12} \))(\( ( 1 - T )^{12} \))(\( ( 1 - T )^{12} \))(\( ( 1 + T )^{14} \))(\( ( 1 - T )^{14} \))(\( ( 1 + T )^{16} \))(\( ( 1 - T )^{16} \))
$3$ (\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))(\( \))
$5$ (\( 1 - 2 T + 5 T^{2} \))(\( 1 + 2 T + 5 T^{2} \))(\( 1 - 2 T^{2} + 25 T^{4} \))(\( 1 - 2 T^{2} + 25 T^{4} \))(\( 1 + 23 T^{2} - 2 T^{3} + 261 T^{4} - 68 T^{5} + 1964 T^{6} - 734 T^{7} + 11099 T^{8} - 3670 T^{9} + 49100 T^{10} - 8500 T^{11} + 163125 T^{12} - 6250 T^{13} + 359375 T^{14} + 390625 T^{16} \))(\( 1 + 23 T^{2} + 2 T^{3} + 261 T^{4} + 68 T^{5} + 1964 T^{6} + 734 T^{7} + 11099 T^{8} + 3670 T^{9} + 49100 T^{10} + 8500 T^{11} + 163125 T^{12} + 6250 T^{13} + 359375 T^{14} + 390625 T^{16} \))(\( 1 - 4 T + 32 T^{2} - 104 T^{3} + 488 T^{4} - 1360 T^{5} + 4759 T^{6} - 11470 T^{7} + 32617 T^{8} - 67718 T^{9} + 163085 T^{10} - 286750 T^{11} + 594875 T^{12} - 850000 T^{13} + 1525000 T^{14} - 1625000 T^{15} + 2500000 T^{16} - 1562500 T^{17} + 1953125 T^{18} \))(\( 1 + 4 T + 32 T^{2} + 104 T^{3} + 488 T^{4} + 1360 T^{5} + 4759 T^{6} + 11470 T^{7} + 32617 T^{8} + 67718 T^{9} + 163085 T^{10} + 286750 T^{11} + 594875 T^{12} + 850000 T^{13} + 1525000 T^{14} + 1625000 T^{15} + 2500000 T^{16} + 1562500 T^{17} + 1953125 T^{18} \))(\( 1 + 5 T + 37 T^{2} + 133 T^{3} + 604 T^{4} + 1787 T^{5} + 6392 T^{6} + 16572 T^{7} + 50924 T^{8} + 119058 T^{9} + 327460 T^{10} + 701969 T^{11} + 1770847 T^{12} + 3509845 T^{13} + 8186500 T^{14} + 14882250 T^{15} + 31827500 T^{16} + 51787500 T^{17} + 99875000 T^{18} + 139609375 T^{19} + 235937500 T^{20} + 259765625 T^{21} + 361328125 T^{22} + 244140625 T^{23} + 244140625 T^{24} \))(\( 1 + 3 T + 31 T^{2} + 89 T^{3} + 520 T^{4} + 1429 T^{5} + 6032 T^{6} + 15550 T^{7} + 53006 T^{8} + 126152 T^{9} + 367406 T^{10} + 795897 T^{11} + 2044683 T^{12} + 3979485 T^{13} + 9185150 T^{14} + 15769000 T^{15} + 33128750 T^{16} + 48593750 T^{17} + 94250000 T^{18} + 111640625 T^{19} + 203125000 T^{20} + 173828125 T^{21} + 302734375 T^{22} + 146484375 T^{23} + 244140625 T^{24} \))(\( 1 - 3 T + 29 T^{2} - 83 T^{3} + 434 T^{4} - 1119 T^{5} + 4424 T^{6} - 10464 T^{7} + 34918 T^{8} - 77730 T^{9} + 228728 T^{10} - 473919 T^{11} + 1254877 T^{12} - 2369595 T^{13} + 5718200 T^{14} - 9716250 T^{15} + 21823750 T^{16} - 32700000 T^{17} + 69125000 T^{18} - 87421875 T^{19} + 169531250 T^{20} - 162109375 T^{21} + 283203125 T^{22} - 146484375 T^{23} + 244140625 T^{24} \))(\( 1 - 5 T + 39 T^{2} - 159 T^{3} + 706 T^{4} - 2429 T^{5} + 8052 T^{6} - 23802 T^{7} + 66268 T^{8} - 171524 T^{9} + 429546 T^{10} - 999575 T^{11} + 2324685 T^{12} - 4997875 T^{13} + 10738650 T^{14} - 21440500 T^{15} + 41417500 T^{16} - 74381250 T^{17} + 125812500 T^{18} - 189765625 T^{19} + 275781250 T^{20} - 310546875 T^{21} + 380859375 T^{22} - 244140625 T^{23} + 244140625 T^{24} \))(\( 1 + 5 T + 39 T^{2} + 159 T^{3} + 706 T^{4} + 2429 T^{5} + 8052 T^{6} + 23802 T^{7} + 66268 T^{8} + 171524 T^{9} + 429546 T^{10} + 999575 T^{11} + 2324685 T^{12} + 4997875 T^{13} + 10738650 T^{14} + 21440500 T^{15} + 41417500 T^{16} + 74381250 T^{17} + 125812500 T^{18} + 189765625 T^{19} + 275781250 T^{20} + 310546875 T^{21} + 380859375 T^{22} + 244140625 T^{23} + 244140625 T^{24} \))(\( 1 + 3 T + 29 T^{2} + 83 T^{3} + 434 T^{4} + 1119 T^{5} + 4424 T^{6} + 10464 T^{7} + 34918 T^{8} + 77730 T^{9} + 228728 T^{10} + 473919 T^{11} + 1254877 T^{12} + 2369595 T^{13} + 5718200 T^{14} + 9716250 T^{15} + 21823750 T^{16} + 32700000 T^{17} + 69125000 T^{18} + 87421875 T^{19} + 169531250 T^{20} + 162109375 T^{21} + 283203125 T^{22} + 146484375 T^{23} + 244140625 T^{24} \))(\( 1 - 3 T + 31 T^{2} - 89 T^{3} + 520 T^{4} - 1429 T^{5} + 6032 T^{6} - 15550 T^{7} + 53006 T^{8} - 126152 T^{9} + 367406 T^{10} - 795897 T^{11} + 2044683 T^{12} - 3979485 T^{13} + 9185150 T^{14} - 15769000 T^{15} + 33128750 T^{16} - 48593750 T^{17} + 94250000 T^{18} - 111640625 T^{19} + 203125000 T^{20} - 173828125 T^{21} + 302734375 T^{22} - 146484375 T^{23} + 244140625 T^{24} \))(\( 1 - 5 T + 37 T^{2} - 133 T^{3} + 604 T^{4} - 1787 T^{5} + 6392 T^{6} - 16572 T^{7} + 50924 T^{8} - 119058 T^{9} + 327460 T^{10} - 701969 T^{11} + 1770847 T^{12} - 3509845 T^{13} + 8186500 T^{14} - 14882250 T^{15} + 31827500 T^{16} - 51787500 T^{17} + 99875000 T^{18} - 139609375 T^{19} + 235937500 T^{20} - 259765625 T^{21} + 361328125 T^{22} - 244140625 T^{23} + 244140625 T^{24} \))(\( 1 + 2 T + 28 T^{2} + 60 T^{3} + 435 T^{4} + 932 T^{5} + 4641 T^{6} + 9874 T^{7} + 37720 T^{8} + 79480 T^{9} + 249270 T^{10} + 522542 T^{11} + 1421451 T^{12} + 2950348 T^{13} + 7372677 T^{14} + 14751740 T^{15} + 35536275 T^{16} + 65317750 T^{17} + 155793750 T^{18} + 248375000 T^{19} + 589375000 T^{20} + 771406250 T^{21} + 1812890625 T^{22} + 1820312500 T^{23} + 4248046875 T^{24} + 2929687500 T^{25} + 6835937500 T^{26} + 2441406250 T^{27} + 6103515625 T^{28} \))(\( 1 - 2 T + 28 T^{2} - 60 T^{3} + 435 T^{4} - 932 T^{5} + 4641 T^{6} - 9874 T^{7} + 37720 T^{8} - 79480 T^{9} + 249270 T^{10} - 522542 T^{11} + 1421451 T^{12} - 2950348 T^{13} + 7372677 T^{14} - 14751740 T^{15} + 35536275 T^{16} - 65317750 T^{17} + 155793750 T^{18} - 248375000 T^{19} + 589375000 T^{20} - 771406250 T^{21} + 1812890625 T^{22} - 1820312500 T^{23} + 4248046875 T^{24} - 2929687500 T^{25} + 6835937500 T^{26} - 2441406250 T^{27} + 6103515625 T^{28} \))(\( 1 + 4 T + 34 T^{2} + 108 T^{3} + 532 T^{4} + 1398 T^{5} + 5193 T^{6} + 11758 T^{7} + 36623 T^{8} + 74776 T^{9} + 204933 T^{10} + 390140 T^{11} + 955357 T^{12} + 1737372 T^{13} + 3931885 T^{14} + 7341000 T^{15} + 17363740 T^{16} + 36705000 T^{17} + 98297125 T^{18} + 217171500 T^{19} + 597098125 T^{20} + 1219187500 T^{21} + 3202078125 T^{22} + 5841875000 T^{23} + 14305859375 T^{24} + 22964843750 T^{25} + 50712890625 T^{26} + 68261718750 T^{27} + 129882812500 T^{28} + 131835937500 T^{29} + 207519531250 T^{30} + 122070312500 T^{31} + 152587890625 T^{32} \))(\( 1 - 4 T + 34 T^{2} - 108 T^{3} + 532 T^{4} - 1398 T^{5} + 5193 T^{6} - 11758 T^{7} + 36623 T^{8} - 74776 T^{9} + 204933 T^{10} - 390140 T^{11} + 955357 T^{12} - 1737372 T^{13} + 3931885 T^{14} - 7341000 T^{15} + 17363740 T^{16} - 36705000 T^{17} + 98297125 T^{18} - 217171500 T^{19} + 597098125 T^{20} - 1219187500 T^{21} + 3202078125 T^{22} - 5841875000 T^{23} + 14305859375 T^{24} - 22964843750 T^{25} + 50712890625 T^{26} - 68261718750 T^{27} + 129882812500 T^{28} - 131835937500 T^{29} + 207519531250 T^{30} - 122070312500 T^{31} + 152587890625 T^{32} \))
$7$ (\( 1 - T + 7 T^{2} \))(\( 1 - T + 7 T^{2} \))(\( 1 - 2 T + 3 T^{2} - 14 T^{3} + 49 T^{4} \))(\( 1 - 2 T + 3 T^{2} - 14 T^{3} + 49 T^{4} \))(\( 1 + 5 T + 44 T^{2} + 164 T^{3} + 854 T^{4} + 2581 T^{5} + 10192 T^{6} + 25906 T^{7} + 84279 T^{8} + 181342 T^{9} + 499408 T^{10} + 885283 T^{11} + 2050454 T^{12} + 2756348 T^{13} + 5176556 T^{14} + 4117715 T^{15} + 5764801 T^{16} \))(\( 1 + 5 T + 44 T^{2} + 164 T^{3} + 854 T^{4} + 2581 T^{5} + 10192 T^{6} + 25906 T^{7} + 84279 T^{8} + 181342 T^{9} + 499408 T^{10} + 885283 T^{11} + 2050454 T^{12} + 2756348 T^{13} + 5176556 T^{14} + 4117715 T^{15} + 5764801 T^{16} \))(\( 1 + 4 T + 42 T^{2} + 141 T^{3} + 794 T^{4} + 2265 T^{5} + 9183 T^{6} + 23107 T^{7} + 77577 T^{8} + 179045 T^{9} + 543039 T^{10} + 1132243 T^{11} + 3149769 T^{12} + 5438265 T^{13} + 13344758 T^{14} + 16588509 T^{15} + 34588806 T^{16} + 23059204 T^{17} + 40353607 T^{18} \))(\( 1 + 4 T + 42 T^{2} + 141 T^{3} + 794 T^{4} + 2265 T^{5} + 9183 T^{6} + 23107 T^{7} + 77577 T^{8} + 179045 T^{9} + 543039 T^{10} + 1132243 T^{11} + 3149769 T^{12} + 5438265 T^{13} + 13344758 T^{14} + 16588509 T^{15} + 34588806 T^{16} + 23059204 T^{17} + 40353607 T^{18} \))(\( 1 - 6 T + 53 T^{2} - 242 T^{3} + 1336 T^{4} - 5118 T^{5} + 22241 T^{6} - 74476 T^{7} + 275221 T^{8} - 821625 T^{9} + 2668448 T^{10} - 7159148 T^{11} + 20764979 T^{12} - 50114036 T^{13} + 130753952 T^{14} - 281817375 T^{15} + 660805621 T^{16} - 1251718132 T^{17} + 2616631409 T^{18} - 4214893074 T^{19} + 7701774136 T^{20} - 9765572894 T^{21} + 14971188197 T^{22} - 11863960458 T^{23} + 13841287201 T^{24} \))(\( 1 - 6 T + 59 T^{2} - 252 T^{3} + 1506 T^{4} - 5272 T^{5} + 24633 T^{6} - 75456 T^{7} + 299403 T^{8} - 822563 T^{9} + 2869172 T^{10} - 7125598 T^{11} + 22245057 T^{12} - 49879186 T^{13} + 140589428 T^{14} - 282139109 T^{15} + 718866603 T^{16} - 1268188992 T^{17} + 2898047817 T^{18} - 4341718696 T^{19} + 8681790306 T^{20} - 10169108964 T^{21} + 16666039691 T^{22} - 11863960458 T^{23} + 13841287201 T^{24} \))(\( 1 + 6 T + 53 T^{2} + 242 T^{3} + 1308 T^{4} + 4846 T^{5} + 20325 T^{6} + 64568 T^{7} + 230705 T^{8} + 653407 T^{9} + 2089904 T^{10} + 5407980 T^{11} + 15862987 T^{12} + 37855860 T^{13} + 102405296 T^{14} + 224118601 T^{15} + 553922705 T^{16} + 1085194376 T^{17} + 2391215925 T^{18} + 3990889378 T^{19} + 7540359708 T^{20} + 9765572894 T^{21} + 14971188197 T^{22} + 11863960458 T^{23} + 13841287201 T^{24} \))(\( 1 + 6 T + 59 T^{2} + 248 T^{3} + 1398 T^{4} + 4348 T^{5} + 17885 T^{6} + 40132 T^{7} + 133511 T^{8} + 179525 T^{9} + 588556 T^{10} + 128130 T^{11} + 2459561 T^{12} + 896910 T^{13} + 28839244 T^{14} + 61577075 T^{15} + 320559911 T^{16} + 674498524 T^{17} + 2104152365 T^{18} + 3580764964 T^{19} + 8059191798 T^{20} + 10007694536 T^{21} + 16666039691 T^{22} + 11863960458 T^{23} + 13841287201 T^{24} \))(\( 1 + 6 T + 59 T^{2} + 248 T^{3} + 1398 T^{4} + 4348 T^{5} + 17885 T^{6} + 40132 T^{7} + 133511 T^{8} + 179525 T^{9} + 588556 T^{10} + 128130 T^{11} + 2459561 T^{12} + 896910 T^{13} + 28839244 T^{14} + 61577075 T^{15} + 320559911 T^{16} + 674498524 T^{17} + 2104152365 T^{18} + 3580764964 T^{19} + 8059191798 T^{20} + 10007694536 T^{21} + 16666039691 T^{22} + 11863960458 T^{23} + 13841287201 T^{24} \))(\( 1 + 6 T + 53 T^{2} + 242 T^{3} + 1308 T^{4} + 4846 T^{5} + 20325 T^{6} + 64568 T^{7} + 230705 T^{8} + 653407 T^{9} + 2089904 T^{10} + 5407980 T^{11} + 15862987 T^{12} + 37855860 T^{13} + 102405296 T^{14} + 224118601 T^{15} + 553922705 T^{16} + 1085194376 T^{17} + 2391215925 T^{18} + 3990889378 T^{19} + 7540359708 T^{20} + 9765572894 T^{21} + 14971188197 T^{22} + 11863960458 T^{23} + 13841287201 T^{24} \))(\( 1 - 6 T + 59 T^{2} - 252 T^{3} + 1506 T^{4} - 5272 T^{5} + 24633 T^{6} - 75456 T^{7} + 299403 T^{8} - 822563 T^{9} + 2869172 T^{10} - 7125598 T^{11} + 22245057 T^{12} - 49879186 T^{13} + 140589428 T^{14} - 282139109 T^{15} + 718866603 T^{16} - 1268188992 T^{17} + 2898047817 T^{18} - 4341718696 T^{19} + 8681790306 T^{20} - 10169108964 T^{21} + 16666039691 T^{22} - 11863960458 T^{23} + 13841287201 T^{24} \))(\( 1 - 6 T + 53 T^{2} - 242 T^{3} + 1336 T^{4} - 5118 T^{5} + 22241 T^{6} - 74476 T^{7} + 275221 T^{8} - 821625 T^{9} + 2668448 T^{10} - 7159148 T^{11} + 20764979 T^{12} - 50114036 T^{13} + 130753952 T^{14} - 281817375 T^{15} + 660805621 T^{16} - 1251718132 T^{17} + 2616631409 T^{18} - 4214893074 T^{19} + 7701774136 T^{20} - 9765572894 T^{21} + 14971188197 T^{22} - 11863960458 T^{23} + 13841287201 T^{24} \))(\( 1 - 4 T + 41 T^{2} - 141 T^{3} + 886 T^{4} - 2702 T^{5} + 13194 T^{6} - 36749 T^{7} + 152933 T^{8} - 396432 T^{9} + 1481221 T^{10} - 3629234 T^{11} + 12465202 T^{12} - 28914434 T^{13} + 92675285 T^{14} - 202401038 T^{15} + 610794898 T^{16} - 1244827262 T^{17} + 3556411621 T^{18} - 6662832624 T^{19} + 17992414517 T^{20} - 30264381707 T^{21} + 76060784394 T^{22} - 109035446114 T^{23} + 250273070614 T^{24} - 278803070763 T^{25} + 567492775241 T^{26} - 387556041628 T^{27} + 678223072849 T^{28} \))(\( 1 - 4 T + 41 T^{2} - 141 T^{3} + 886 T^{4} - 2702 T^{5} + 13194 T^{6} - 36749 T^{7} + 152933 T^{8} - 396432 T^{9} + 1481221 T^{10} - 3629234 T^{11} + 12465202 T^{12} - 28914434 T^{13} + 92675285 T^{14} - 202401038 T^{15} + 610794898 T^{16} - 1244827262 T^{17} + 3556411621 T^{18} - 6662832624 T^{19} + 17992414517 T^{20} - 30264381707 T^{21} + 76060784394 T^{22} - 109035446114 T^{23} + 250273070614 T^{24} - 278803070763 T^{25} + 567492775241 T^{26} - 387556041628 T^{27} + 678223072849 T^{28} \))(\( 1 - 6 T + 56 T^{2} - 247 T^{3} + 1352 T^{4} - 4889 T^{5} + 20361 T^{6} - 64630 T^{7} + 228423 T^{8} - 665183 T^{9} + 2128726 T^{10} - 5823317 T^{11} + 17590230 T^{12} - 45668170 T^{13} + 133607858 T^{14} - 333266322 T^{15} + 957088079 T^{16} - 2332864254 T^{17} + 6546785042 T^{18} - 15664182310 T^{19} + 42234142230 T^{20} - 97872488819 T^{21} + 250442485174 T^{22} - 547806803369 T^{23} + 1316813138823 T^{24} - 2608053620410 T^{25} + 5751478544889 T^{26} - 9667150446527 T^{27} + 18713420295752 T^{28} - 23931585570529 T^{29} + 37980492079544 T^{30} - 28485369059658 T^{31} + 33232930569601 T^{32} \))(\( 1 - 6 T + 56 T^{2} - 247 T^{3} + 1352 T^{4} - 4889 T^{5} + 20361 T^{6} - 64630 T^{7} + 228423 T^{8} - 665183 T^{9} + 2128726 T^{10} - 5823317 T^{11} + 17590230 T^{12} - 45668170 T^{13} + 133607858 T^{14} - 333266322 T^{15} + 957088079 T^{16} - 2332864254 T^{17} + 6546785042 T^{18} - 15664182310 T^{19} + 42234142230 T^{20} - 97872488819 T^{21} + 250442485174 T^{22} - 547806803369 T^{23} + 1316813138823 T^{24} - 2608053620410 T^{25} + 5751478544889 T^{26} - 9667150446527 T^{27} + 18713420295752 T^{28} - 23931585570529 T^{29} + 37980492079544 T^{30} - 28485369059658 T^{31} + 33232930569601 T^{32} \))
$11$ (\( 1 + 11 T^{2} \))(\( 1 + 11 T^{2} \))(\( 1 + 6 T + 28 T^{2} + 66 T^{3} + 121 T^{4} \))(\( 1 - 6 T + 28 T^{2} - 66 T^{3} + 121 T^{4} \))(\( 1 - 6 T + 69 T^{2} - 320 T^{3} + 2012 T^{4} - 7675 T^{5} + 34896 T^{6} - 115513 T^{7} + 435155 T^{8} - 1270643 T^{9} + 4222416 T^{10} - 10215425 T^{11} + 29457692 T^{12} - 51536320 T^{13} + 122237709 T^{14} - 116923026 T^{15} + 214358881 T^{16} \))(\( 1 + 6 T + 69 T^{2} + 320 T^{3} + 2012 T^{4} + 7675 T^{5} + 34896 T^{6} + 115513 T^{7} + 435155 T^{8} + 1270643 T^{9} + 4222416 T^{10} + 10215425 T^{11} + 29457692 T^{12} + 51536320 T^{13} + 122237709 T^{14} + 116923026 T^{15} + 214358881 T^{16} \))(\( 1 - 4 T + 68 T^{2} - 284 T^{3} + 2307 T^{4} - 9201 T^{5} + 50752 T^{6} - 180614 T^{7} + 781453 T^{8} - 2385860 T^{9} + 8595983 T^{10} - 21854294 T^{11} + 67550912 T^{12} - 134711841 T^{13} + 371544657 T^{14} - 503123324 T^{15} + 1325127628 T^{16} - 857435524 T^{17} + 2357947691 T^{18} \))(\( 1 + 4 T + 68 T^{2} + 284 T^{3} + 2307 T^{4} + 9201 T^{5} + 50752 T^{6} + 180614 T^{7} + 781453 T^{8} + 2385860 T^{9} + 8595983 T^{10} + 21854294 T^{11} + 67550912 T^{12} + 134711841 T^{13} + 371544657 T^{14} + 503123324 T^{15} + 1325127628 T^{16} + 857435524 T^{17} + 2357947691 T^{18} \))(\( 1 + 6 T + 83 T^{2} + 400 T^{3} + 3275 T^{4} + 13795 T^{5} + 85490 T^{6} + 324432 T^{7} + 1657369 T^{8} + 5718173 T^{9} + 25187716 T^{10} + 78968378 T^{11} + 307925583 T^{12} + 868652158 T^{13} + 3047713636 T^{14} + 7610888263 T^{15} + 24265539529 T^{16} + 52250098032 T^{17} + 151450749890 T^{18} + 268825523945 T^{19} + 702025335275 T^{20} + 943179076400 T^{21} + 2152806241883 T^{22} + 1711870023666 T^{23} + 3138428376721 T^{24} \))(\( 1 + 10 T + 119 T^{2} + 852 T^{3} + 6179 T^{4} + 34957 T^{5} + 194642 T^{6} + 921276 T^{7} + 4266253 T^{8} + 17433663 T^{9} + 69581584 T^{10} + 249077190 T^{11} + 870352803 T^{12} + 2739849090 T^{13} + 8419371664 T^{14} + 23204205453 T^{15} + 62462210173 T^{16} + 148372421076 T^{17} + 344820176162 T^{18} + 681213036647 T^{19} + 1324523525699 T^{20} + 2008971432732 T^{21} + 3086553527519 T^{22} + 2853116706110 T^{23} + 3138428376721 T^{24} \))(\( 1 - 14 T + 143 T^{2} - 1056 T^{3} + 6775 T^{4} - 37077 T^{5} + 185806 T^{6} - 838016 T^{7} + 3549961 T^{8} - 13913987 T^{9} + 52145040 T^{10} - 183959742 T^{11} + 626990511 T^{12} - 2023557162 T^{13} + 6309549840 T^{14} - 18519516697 T^{15} + 51974979001 T^{16} - 134963314816 T^{17} + 329166663166 T^{18} - 722525839167 T^{19} + 1452281418775 T^{20} - 2489992761696 T^{21} + 3709051717943 T^{22} - 3994363388554 T^{23} + 3138428376721 T^{24} \))(\( 1 - 10 T + 115 T^{2} - 724 T^{3} + 5023 T^{4} - 24667 T^{5} + 134846 T^{6} - 571308 T^{7} + 2675581 T^{8} - 10038817 T^{9} + 41178796 T^{10} - 137774274 T^{11} + 503919571 T^{12} - 1515517014 T^{13} + 4982634316 T^{14} - 13361665427 T^{15} + 39173181421 T^{16} - 92009724708 T^{17} + 238887914606 T^{18} - 480690047057 T^{19} + 1076724659263 T^{20} - 1707154128284 T^{21} + 2982803829115 T^{22} - 2853116706110 T^{23} + 3138428376721 T^{24} \))(\( 1 + 10 T + 115 T^{2} + 724 T^{3} + 5023 T^{4} + 24667 T^{5} + 134846 T^{6} + 571308 T^{7} + 2675581 T^{8} + 10038817 T^{9} + 41178796 T^{10} + 137774274 T^{11} + 503919571 T^{12} + 1515517014 T^{13} + 4982634316 T^{14} + 13361665427 T^{15} + 39173181421 T^{16} + 92009724708 T^{17} + 238887914606 T^{18} + 480690047057 T^{19} + 1076724659263 T^{20} + 1707154128284 T^{21} + 2982803829115 T^{22} + 2853116706110 T^{23} + 3138428376721 T^{24} \))(\( 1 + 14 T + 143 T^{2} + 1056 T^{3} + 6775 T^{4} + 37077 T^{5} + 185806 T^{6} + 838016 T^{7} + 3549961 T^{8} + 13913987 T^{9} + 52145040 T^{10} + 183959742 T^{11} + 626990511 T^{12} + 2023557162 T^{13} + 6309549840 T^{14} + 18519516697 T^{15} + 51974979001 T^{16} + 134963314816 T^{17} + 329166663166 T^{18} + 722525839167 T^{19} + 1452281418775 T^{20} + 2489992761696 T^{21} + 3709051717943 T^{22} + 3994363388554 T^{23} + 3138428376721 T^{24} \))(\( 1 - 10 T + 119 T^{2} - 852 T^{3} + 6179 T^{4} - 34957 T^{5} + 194642 T^{6} - 921276 T^{7} + 4266253 T^{8} - 17433663 T^{9} + 69581584 T^{10} - 249077190 T^{11} + 870352803 T^{12} - 2739849090 T^{13} + 8419371664 T^{14} - 23204205453 T^{15} + 62462210173 T^{16} - 148372421076 T^{17} + 344820176162 T^{18} - 681213036647 T^{19} + 1324523525699 T^{20} - 2008971432732 T^{21} + 3086553527519 T^{22} - 2853116706110 T^{23} + 3138428376721 T^{24} \))(\( 1 - 6 T + 83 T^{2} - 400 T^{3} + 3275 T^{4} - 13795 T^{5} + 85490 T^{6} - 324432 T^{7} + 1657369 T^{8} - 5718173 T^{9} + 25187716 T^{10} - 78968378 T^{11} + 307925583 T^{12} - 868652158 T^{13} + 3047713636 T^{14} - 7610888263 T^{15} + 24265539529 T^{16} - 52250098032 T^{17} + 151450749890 T^{18} - 268825523945 T^{19} + 702025335275 T^{20} - 943179076400 T^{21} + 2152806241883 T^{22} - 1711870023666 T^{23} + 3138428376721 T^{24} \))(\( 1 + 2 T + 61 T^{2} + 136 T^{3} + 2029 T^{4} + 4541 T^{5} + 47979 T^{6} + 102861 T^{7} + 894464 T^{8} + 1797910 T^{9} + 13870329 T^{10} + 26073088 T^{11} + 184810378 T^{12} + 326416620 T^{13} + 2161407870 T^{14} + 3590582820 T^{15} + 22362055738 T^{16} + 34703280128 T^{17} + 203075486889 T^{18} + 289555203410 T^{19} + 1584597538304 T^{20} + 2004469896231 T^{21} + 10284724751499 T^{22} + 10707440464831 T^{23} + 52627034515429 T^{24} + 38802387203096 T^{25} + 191444130979981 T^{26} + 69045424287862 T^{27} + 379749833583241 T^{28} \))(\( 1 - 2 T + 61 T^{2} - 136 T^{3} + 2029 T^{4} - 4541 T^{5} + 47979 T^{6} - 102861 T^{7} + 894464 T^{8} - 1797910 T^{9} + 13870329 T^{10} - 26073088 T^{11} + 184810378 T^{12} - 326416620 T^{13} + 2161407870 T^{14} - 3590582820 T^{15} + 22362055738 T^{16} - 34703280128 T^{17} + 203075486889 T^{18} - 289555203410 T^{19} + 1584597538304 T^{20} - 2004469896231 T^{21} + 10284724751499 T^{22} - 10707440464831 T^{23} + 52627034515429 T^{24} - 38802387203096 T^{25} + 191444130979981 T^{26} - 69045424287862 T^{27} + 379749833583241 T^{28} \))(\( 1 + 6 T + 57 T^{2} + 196 T^{3} + 986 T^{4} + 1601 T^{5} + 8962 T^{6} + 18443 T^{7} + 194975 T^{8} + 702253 T^{9} + 3225278 T^{10} + 7639011 T^{11} + 20694222 T^{12} + 57979410 T^{13} + 285895823 T^{14} + 1481020044 T^{15} + 5344191760 T^{16} + 16291220484 T^{17} + 34593394583 T^{18} + 77170594710 T^{19} + 302984104302 T^{20} + 1230270360561 T^{21} + 5713776718958 T^{22} + 13684924296263 T^{23} + 41794622822975 T^{24} + 43487629265113 T^{25} + 232451199274162 T^{26} + 456783984648211 T^{27} + 3094490379446906 T^{28} + 6766451580210476 T^{29} + 21645740514244737 T^{30} + 25063489016493906 T^{31} + 45949729863572161 T^{32} \))(\( 1 - 6 T + 57 T^{2} - 196 T^{3} + 986 T^{4} - 1601 T^{5} + 8962 T^{6} - 18443 T^{7} + 194975 T^{8} - 702253 T^{9} + 3225278 T^{10} - 7639011 T^{11} + 20694222 T^{12} - 57979410 T^{13} + 285895823 T^{14} - 1481020044 T^{15} + 5344191760 T^{16} - 16291220484 T^{17} + 34593394583 T^{18} - 77170594710 T^{19} + 302984104302 T^{20} - 1230270360561 T^{21} + 5713776718958 T^{22} - 13684924296263 T^{23} + 41794622822975 T^{24} - 43487629265113 T^{25} + 232451199274162 T^{26} - 456783984648211 T^{27} + 3094490379446906 T^{28} - 6766451580210476 T^{29} + 21645740514244737 T^{30} - 25063489016493906 T^{31} + 45949729863572161 T^{32} \))
$13$ (\( 1 + 2 T + 13 T^{2} \))(\( 1 + 2 T + 13 T^{2} \))(\( 1 - 4 T + 18 T^{2} - 52 T^{3} + 169 T^{4} \))(\( 1 - 4 T + 18 T^{2} - 52 T^{3} + 169 T^{4} \))(\( 1 + 8 T + 84 T^{2} + 448 T^{3} + 2738 T^{4} + 10836 T^{5} + 50511 T^{6} + 166032 T^{7} + 700113 T^{8} + 2158416 T^{9} + 8536359 T^{10} + 23806692 T^{11} + 78200018 T^{12} + 166339264 T^{13} + 405451956 T^{14} + 501988136 T^{15} + 815730721 T^{16} \))(\( 1 + 8 T + 84 T^{2} + 448 T^{3} + 2738 T^{4} + 10836 T^{5} + 50511 T^{6} + 166032 T^{7} + 700113 T^{8} + 2158416 T^{9} + 8536359 T^{10} + 23806692 T^{11} + 78200018 T^{12} + 166339264 T^{13} + 405451956 T^{14} + 501988136 T^{15} + 815730721 T^{16} \))(\( 1 + 8 T + 113 T^{2} + 684 T^{3} + 5484 T^{4} + 26690 T^{5} + 155755 T^{6} + 628402 T^{7} + 2920764 T^{8} + 9865738 T^{9} + 37969932 T^{10} + 106199938 T^{11} + 342193735 T^{12} + 762293090 T^{13} + 2036170812 T^{14} + 3301537356 T^{15} + 7090582421 T^{16} + 6525845768 T^{17} + 10604499373 T^{18} \))(\( 1 + 8 T + 113 T^{2} + 684 T^{3} + 5484 T^{4} + 26690 T^{5} + 155755 T^{6} + 628402 T^{7} + 2920764 T^{8} + 9865738 T^{9} + 37969932 T^{10} + 106199938 T^{11} + 342193735 T^{12} + 762293090 T^{13} + 2036170812 T^{14} + 3301537356 T^{15} + 7090582421 T^{16} + 6525845768 T^{17} + 10604499373 T^{18} \))(\( 1 - 3 T + 93 T^{2} - 185 T^{3} + 4117 T^{4} - 5292 T^{5} + 120357 T^{6} - 96192 T^{7} + 2648158 T^{8} - 1305941 T^{9} + 46450531 T^{10} - 15709542 T^{11} + 665668655 T^{12} - 204224046 T^{13} + 7850139739 T^{14} - 2869152377 T^{15} + 75634040638 T^{16} - 35715416256 T^{17} + 580940250813 T^{18} - 332065151964 T^{19} + 3358363378357 T^{20} - 1961832384005 T^{21} + 12820839741957 T^{22} - 5376481182111 T^{23} + 23298085122481 T^{24} \))(\( 1 - 5 T + 83 T^{2} - 389 T^{3} + 3299 T^{4} - 14252 T^{5} + 84327 T^{6} - 330070 T^{7} + 1590748 T^{8} - 5592589 T^{9} + 24482767 T^{10} - 78779092 T^{11} + 332956381 T^{12} - 1024128196 T^{13} + 4137587623 T^{14} - 12286918033 T^{15} + 45433353628 T^{16} - 122552680510 T^{17} + 407030322543 T^{18} - 894291864284 T^{19} + 2691095648579 T^{20} - 4125150256097 T^{21} + 11442254823467 T^{22} - 8960801970185 T^{23} + 23298085122481 T^{24} \))(\( 1 + 3 T + 55 T^{2} + 141 T^{3} + 1951 T^{4} + 4476 T^{5} + 50093 T^{6} + 103950 T^{7} + 1024442 T^{8} + 1954957 T^{9} + 17370533 T^{10} + 30386550 T^{11} + 245221481 T^{12} + 395025150 T^{13} + 2935620077 T^{14} + 4295040529 T^{15} + 29259087962 T^{16} + 38595907350 T^{17} + 241789343237 T^{18} + 280862362092 T^{19} + 1591490636671 T^{20} + 1495234411593 T^{21} + 7582217051695 T^{22} + 5376481182111 T^{23} + 23298085122481 T^{24} \))(\( 1 + T + 81 T^{2} - 7 T^{3} + 3249 T^{4} - 3204 T^{5} + 89567 T^{6} - 140528 T^{7} + 1937232 T^{8} - 3458175 T^{9} + 34186509 T^{10} - 59592236 T^{11} + 492567871 T^{12} - 774699068 T^{13} + 5777520021 T^{14} - 7597610475 T^{15} + 55329283152 T^{16} - 52177062704 T^{17} + 432322801703 T^{18} - 201046248468 T^{19} + 2650309112529 T^{20} - 74231495611 T^{21} + 11166537839769 T^{22} + 1792160394037 T^{23} + 23298085122481 T^{24} \))(\( 1 + T + 81 T^{2} - 7 T^{3} + 3249 T^{4} - 3204 T^{5} + 89567 T^{6} - 140528 T^{7} + 1937232 T^{8} - 3458175 T^{9} + 34186509 T^{10} - 59592236 T^{11} + 492567871 T^{12} - 774699068 T^{13} + 5777520021 T^{14} - 7597610475 T^{15} + 55329283152 T^{16} - 52177062704 T^{17} + 432322801703 T^{18} - 201046248468 T^{19} + 2650309112529 T^{20} - 74231495611 T^{21} + 11166537839769 T^{22} + 1792160394037 T^{23} + 23298085122481 T^{24} \))(\( 1 + 3 T + 55 T^{2} + 141 T^{3} + 1951 T^{4} + 4476 T^{5} + 50093 T^{6} + 103950 T^{7} + 1024442 T^{8} + 1954957 T^{9} + 17370533 T^{10} + 30386550 T^{11} + 245221481 T^{12} + 395025150 T^{13} + 2935620077 T^{14} + 4295040529 T^{15} + 29259087962 T^{16} + 38595907350 T^{17} + 241789343237 T^{18} + 280862362092 T^{19} + 1591490636671 T^{20} + 1495234411593 T^{21} + 7582217051695 T^{22} + 5376481182111 T^{23} + 23298085122481 T^{24} \))(\( 1 - 5 T + 83 T^{2} - 389 T^{3} + 3299 T^{4} - 14252 T^{5} + 84327 T^{6} - 330070 T^{7} + 1590748 T^{8} - 5592589 T^{9} + 24482767 T^{10} - 78779092 T^{11} + 332956381 T^{12} - 1024128196 T^{13} + 4137587623 T^{14} - 12286918033 T^{15} + 45433353628 T^{16} - 122552680510 T^{17} + 407030322543 T^{18} - 894291864284 T^{19} + 2691095648579 T^{20} - 4125150256097 T^{21} + 11442254823467 T^{22} - 8960801970185 T^{23} + 23298085122481 T^{24} \))(\( 1 - 3 T + 93 T^{2} - 185 T^{3} + 4117 T^{4} - 5292 T^{5} + 120357 T^{6} - 96192 T^{7} + 2648158 T^{8} - 1305941 T^{9} + 46450531 T^{10} - 15709542 T^{11} + 665668655 T^{12} - 204224046 T^{13} + 7850139739 T^{14} - 2869152377 T^{15} + 75634040638 T^{16} - 35715416256 T^{17} + 580940250813 T^{18} - 332065151964 T^{19} + 3358363378357 T^{20} - 1961832384005 T^{21} + 12820839741957 T^{22} - 5376481182111 T^{23} + 23298085122481 T^{24} \))(\( 1 - 4 T + 55 T^{2} - 164 T^{3} + 1841 T^{4} - 5834 T^{5} + 51222 T^{6} - 152916 T^{7} + 1105419 T^{8} - 3168570 T^{9} + 20685432 T^{10} - 57342178 T^{11} + 333039468 T^{12} - 858558930 T^{13} + 4596254473 T^{14} - 11161266090 T^{15} + 56283670092 T^{16} - 125980765066 T^{17} + 590796623352 T^{18} - 1176467861010 T^{19} + 5335646377971 T^{20} - 9595252225572 T^{21} + 41783358991062 T^{22} - 61866649342082 T^{23} + 253797483494009 T^{24} - 293914304622068 T^{25} + 1281394681736455 T^{26} - 1211500426369012 T^{27} + 3937376385699289 T^{28} \))(\( 1 - 4 T + 55 T^{2} - 164 T^{3} + 1841 T^{4} - 5834 T^{5} + 51222 T^{6} - 152916 T^{7} + 1105419 T^{8} - 3168570 T^{9} + 20685432 T^{10} - 57342178 T^{11} + 333039468 T^{12} - 858558930 T^{13} + 4596254473 T^{14} - 11161266090 T^{15} + 56283670092 T^{16} - 125980765066 T^{17} + 590796623352 T^{18} - 1176467861010 T^{19} + 5335646377971 T^{20} - 9595252225572 T^{21} + 41783358991062 T^{22} - 61866649342082 T^{23} + 253797483494009 T^{24} - 293914304622068 T^{25} + 1281394681736455 T^{26} - 1211500426369012 T^{27} + 3937376385699289 T^{28} \))(\( 1 - 6 T + 105 T^{2} - 512 T^{3} + 5370 T^{4} - 22684 T^{5} + 184517 T^{6} - 698596 T^{7} + 4833808 T^{8} - 16722072 T^{9} + 103048788 T^{10} - 330007070 T^{11} + 1860613029 T^{12} - 5565962602 T^{13} + 29174544319 T^{14} - 81971188970 T^{15} + 403045310618 T^{16} - 1065625456610 T^{17} + 4930497989911 T^{18} - 12228419836594 T^{19} + 53140968721269 T^{20} - 122529315041510 T^{21} + 497396817357492 T^{22} - 1049285219167224 T^{23} + 3943085685015568 T^{24} - 7408260843980308 T^{25} + 25437235340501933 T^{26} - 40653366378335308 T^{27} + 125110717107722970 T^{28} - 155072054575233536 T^{29} + 413424520498425345 T^{30} - 307115358084544542 T^{31} + 665416609183179841 T^{32} \))(\( 1 - 6 T + 105 T^{2} - 512 T^{3} + 5370 T^{4} - 22684 T^{5} + 184517 T^{6} - 698596 T^{7} + 4833808 T^{8} - 16722072 T^{9} + 103048788 T^{10} - 330007070 T^{11} + 1860613029 T^{12} - 5565962602 T^{13} + 29174544319 T^{14} - 81971188970 T^{15} + 403045310618 T^{16} - 1065625456610 T^{17} + 4930497989911 T^{18} - 12228419836594 T^{19} + 53140968721269 T^{20} - 122529315041510 T^{21} + 497396817357492 T^{22} - 1049285219167224 T^{23} + 3943085685015568 T^{24} - 7408260843980308 T^{25} + 25437235340501933 T^{26} - 40653366378335308 T^{27} + 125110717107722970 T^{28} - 155072054575233536 T^{29} + 413424520498425345 T^{30} - 307115358084544542 T^{31} + 665416609183179841 T^{32} \))
$17$ (\( 1 - 4 T + 17 T^{2} \))(\( 1 + 4 T + 17 T^{2} \))(\( 1 - 10 T + 56 T^{2} - 170 T^{3} + 289 T^{4} \))(\( 1 + 10 T + 56 T^{2} + 170 T^{3} + 289 T^{4} \))(\( 1 + 5 T + 98 T^{2} + 386 T^{3} + 4323 T^{4} + 14035 T^{5} + 119347 T^{6} + 330216 T^{7} + 2354845 T^{8} + 5613672 T^{9} + 34491283 T^{10} + 68953955 T^{11} + 361061283 T^{12} + 548064802 T^{13} + 2365481762 T^{14} + 2051693365 T^{15} + 6975757441 T^{16} \))(\( 1 - 5 T + 98 T^{2} - 386 T^{3} + 4323 T^{4} - 14035 T^{5} + 119347 T^{6} - 330216 T^{7} + 2354845 T^{8} - 5613672 T^{9} + 34491283 T^{10} - 68953955 T^{11} + 361061283 T^{12} - 548064802 T^{13} + 2365481762 T^{14} - 2051693365 T^{15} + 6975757441 T^{16} \))(\( 1 - T + 93 T^{2} - 19 T^{3} + 4351 T^{4} + 1013 T^{5} + 135092 T^{6} + 59947 T^{7} + 3044452 T^{8} + 1420770 T^{9} + 51755684 T^{10} + 17324683 T^{11} + 663706996 T^{12} + 84606773 T^{13} + 6177797807 T^{14} - 458613811 T^{15} + 38161496589 T^{16} - 6975757441 T^{17} + 118587876497 T^{18} \))(\( 1 + T + 93 T^{2} + 19 T^{3} + 4351 T^{4} - 1013 T^{5} + 135092 T^{6} - 59947 T^{7} + 3044452 T^{8} - 1420770 T^{9} + 51755684 T^{10} - 17324683 T^{11} + 663706996 T^{12} - 84606773 T^{13} + 6177797807 T^{14} + 458613811 T^{15} + 38161496589 T^{16} + 6975757441 T^{17} + 118587876497 T^{18} \))(\( 1 + 6 T + 105 T^{2} + 597 T^{3} + 6053 T^{4} + 32404 T^{5} + 242061 T^{6} + 1194171 T^{7} + 7302766 T^{8} + 32901614 T^{9} + 173184434 T^{10} + 705647403 T^{11} + 3282052285 T^{12} + 11996005851 T^{13} + 50050301426 T^{14} + 161645629582 T^{15} + 609934319086 T^{16} + 1695552053547 T^{17} + 5842764089709 T^{18} + 13296614359892 T^{19} + 42224259790373 T^{20} + 70796962268709 T^{21} + 211679359547145 T^{22} + 205631377845798 T^{23} + 582622237229761 T^{24} \))(\( 1 + 8 T + 163 T^{2} + 1083 T^{3} + 12073 T^{4} + 68054 T^{5} + 547343 T^{6} + 2664751 T^{7} + 17308162 T^{8} + 74034864 T^{9} + 413119042 T^{10} + 1576525489 T^{11} + 7818022337 T^{12} + 26800933313 T^{13} + 119391403138 T^{14} + 363733286832 T^{15} + 1445594998402 T^{16} + 3783565360607 T^{17} + 13211529429167 T^{18} + 27925188052342 T^{19} + 84218319585193 T^{20} + 128430670246251 T^{21} + 328607005773187 T^{22} + 274175170461064 T^{23} + 582622237229761 T^{24} \))(\( 1 - 8 T + 129 T^{2} - 717 T^{3} + 6947 T^{4} - 28060 T^{5} + 211253 T^{6} - 567037 T^{7} + 3951482 T^{8} - 4417300 T^{9} + 48836470 T^{10} + 44174689 T^{11} + 607256915 T^{12} + 750969713 T^{13} + 14113739830 T^{14} - 21702194900 T^{15} + 330031728122 T^{16} - 805111453709 T^{17} + 5099133863957 T^{18} - 11514103164380 T^{19} + 48460586942627 T^{20} - 85027507448349 T^{21} + 260063213157921 T^{22} - 274175170461064 T^{23} + 582622237229761 T^{24} \))(\( 1 - 6 T + 79 T^{2} - 387 T^{3} + 3639 T^{4} - 15822 T^{5} + 119551 T^{6} - 471461 T^{7} + 3119918 T^{8} - 11308494 T^{9} + 67422746 T^{10} - 226504061 T^{11} + 1241062419 T^{12} - 3850569037 T^{13} + 19485173594 T^{14} - 55558631022 T^{15} + 260578671278 T^{16} - 669407201077 T^{17} + 2885670511519 T^{18} - 6492378484206 T^{19} + 25384781327799 T^{20} - 45893508204339 T^{21} + 159263518135471 T^{22} - 205631377845798 T^{23} + 582622237229761 T^{24} \))(\( 1 + 6 T + 79 T^{2} + 387 T^{3} + 3639 T^{4} + 15822 T^{5} + 119551 T^{6} + 471461 T^{7} + 3119918 T^{8} + 11308494 T^{9} + 67422746 T^{10} + 226504061 T^{11} + 1241062419 T^{12} + 3850569037 T^{13} + 19485173594 T^{14} + 55558631022 T^{15} + 260578671278 T^{16} + 669407201077 T^{17} + 2885670511519 T^{18} + 6492378484206 T^{19} + 25384781327799 T^{20} + 45893508204339 T^{21} + 159263518135471 T^{22} + 205631377845798 T^{23} + 582622237229761 T^{24} \))(\( 1 + 8 T + 129 T^{2} + 717 T^{3} + 6947 T^{4} + 28060 T^{5} + 211253 T^{6} + 567037 T^{7} + 3951482 T^{8} + 4417300 T^{9} + 48836470 T^{10} - 44174689 T^{11} + 607256915 T^{12} - 750969713 T^{13} + 14113739830 T^{14} + 21702194900 T^{15} + 330031728122 T^{16} + 805111453709 T^{17} + 5099133863957 T^{18} + 11514103164380 T^{19} + 48460586942627 T^{20} + 85027507448349 T^{21} + 260063213157921 T^{22} + 274175170461064 T^{23} + 582622237229761 T^{24} \))(\( 1 - 8 T + 163 T^{2} - 1083 T^{3} + 12073 T^{4} - 68054 T^{5} + 547343 T^{6} - 2664751 T^{7} + 17308162 T^{8} - 74034864 T^{9} + 413119042 T^{10} - 1576525489 T^{11} + 7818022337 T^{12} - 26800933313 T^{13} + 119391403138 T^{14} - 363733286832 T^{15} + 1445594998402 T^{16} - 3783565360607 T^{17} + 13211529429167 T^{18} - 27925188052342 T^{19} + 84218319585193 T^{20} - 128430670246251 T^{21} + 328607005773187 T^{22} - 274175170461064 T^{23} + 582622237229761 T^{24} \))(\( 1 - 6 T + 105 T^{2} - 597 T^{3} + 6053 T^{4} - 32404 T^{5} + 242061 T^{6} - 1194171 T^{7} + 7302766 T^{8} - 32901614 T^{9} + 173184434 T^{10} - 705647403 T^{11} + 3282052285 T^{12} - 11996005851 T^{13} + 50050301426 T^{14} - 161645629582 T^{15} + 609934319086 T^{16} - 1695552053547 T^{17} + 5842764089709 T^{18} - 13296614359892 T^{19} + 42224259790373 T^{20} - 70796962268709 T^{21} + 211679359547145 T^{22} - 205631377845798 T^{23} + 582622237229761 T^{24} \))(\( 1 + 9 T + 116 T^{2} + 734 T^{3} + 5894 T^{4} + 33374 T^{5} + 217597 T^{6} + 1158998 T^{7} + 6467809 T^{8} + 31916274 T^{9} + 160080026 T^{10} + 734570171 T^{11} + 3403169256 T^{12} + 14440220552 T^{13} + 62194715466 T^{14} + 245483749384 T^{15} + 983515914984 T^{16} + 3608943250123 T^{17} + 13370043851546 T^{18} + 45316545052818 T^{19} + 156117186016321 T^{20} + 475581701329654 T^{21} + 1517903891889277 T^{22} + 3957751790210878 T^{23} + 11882268049246406 T^{24} + 25155571889802622 T^{25} + 67584179518652276 T^{26} + 89141202296153433 T^{27} + 168377826559400929 T^{28} \))(\( 1 - 9 T + 116 T^{2} - 734 T^{3} + 5894 T^{4} - 33374 T^{5} + 217597 T^{6} - 1158998 T^{7} + 6467809 T^{8} - 31916274 T^{9} + 160080026 T^{10} - 734570171 T^{11} + 3403169256 T^{12} - 14440220552 T^{13} + 62194715466 T^{14} - 245483749384 T^{15} + 983515914984 T^{16} - 3608943250123 T^{17} + 13370043851546 T^{18} - 45316545052818 T^{19} + 156117186016321 T^{20} - 475581701329654 T^{21} + 1517903891889277 T^{22} - 3957751790210878 T^{23} + 11882268049246406 T^{24} - 25155571889802622 T^{25} + 67584179518652276 T^{26} - 89141202296153433 T^{27} + 168377826559400929 T^{28} \))(\( 1 + T + 124 T^{2} + 56 T^{3} + 7233 T^{4} - 829 T^{5} + 265803 T^{6} - 183114 T^{7} + 6946713 T^{8} - 8766926 T^{9} + 138378101 T^{10} - 254560431 T^{11} + 2232877007 T^{12} - 5479687692 T^{13} + 32292139716 T^{14} - 99848317065 T^{15} + 500083148268 T^{16} - 1697421390105 T^{17} + 9332428377924 T^{18} - 26921705630796 T^{19} + 186492120501647 T^{20} - 361439409878367 T^{21} + 3340110960976469 T^{22} - 3597408781129198 T^{23} + 48458584900241433 T^{24} - 21715100416871658 T^{25} + 535857226721045547 T^{26} - 28411402039027757 T^{27} + 4214106641882861313 T^{28} + 554656369842732472 T^{29} + 20878850493365715196 T^{30} + 2862423051509815793 T^{31} + 48661191875666868481 T^{32} \))(\( 1 - T + 124 T^{2} - 56 T^{3} + 7233 T^{4} + 829 T^{5} + 265803 T^{6} + 183114 T^{7} + 6946713 T^{8} + 8766926 T^{9} + 138378101 T^{10} + 254560431 T^{11} + 2232877007 T^{12} + 5479687692 T^{13} + 32292139716 T^{14} + 99848317065 T^{15} + 500083148268 T^{16} + 1697421390105 T^{17} + 9332428377924 T^{18} + 26921705630796 T^{19} + 186492120501647 T^{20} + 361439409878367 T^{21} + 3340110960976469 T^{22} + 3597408781129198 T^{23} + 48458584900241433 T^{24} + 21715100416871658 T^{25} + 535857226721045547 T^{26} + 28411402039027757 T^{27} + 4214106641882861313 T^{28} - 554656369842732472 T^{29} + 20878850493365715196 T^{30} - 2862423051509815793 T^{31} + 48661191875666868481 T^{32} \))
$19$ (\( 1 - 4 T + 19 T^{2} \))(\( 1 - 4 T + 19 T^{2} \))(\( 1 + 4 T + 30 T^{2} + 76 T^{3} + 361 T^{4} \))(\( 1 + 4 T + 30 T^{2} + 76 T^{3} + 361 T^{4} \))(\( 1 + 14 T + 189 T^{2} + 1675 T^{3} + 13551 T^{4} + 88651 T^{5} + 528103 T^{6} + 2701748 T^{7} + 12614699 T^{8} + 51333212 T^{9} + 190645183 T^{10} + 608057209 T^{11} + 1765979871 T^{12} + 4147465825 T^{13} + 8891671509 T^{14} + 12514204346 T^{15} + 16983563041 T^{16} \))(\( 1 + 14 T + 189 T^{2} + 1675 T^{3} + 13551 T^{4} + 88651 T^{5} + 528103 T^{6} + 2701748 T^{7} + 12614699 T^{8} + 51333212 T^{9} + 190645183 T^{10} + 608057209 T^{11} + 1765979871 T^{12} + 4147465825 T^{13} + 8891671509 T^{14} + 12514204346 T^{15} + 16983563041 T^{16} \))(\( 1 + 10 T + 154 T^{2} + 1087 T^{3} + 9648 T^{4} + 54358 T^{5} + 361242 T^{6} + 1729463 T^{7} + 9424332 T^{8} + 38786652 T^{9} + 179062308 T^{10} + 624336143 T^{11} + 2477758878 T^{12} + 7083988918 T^{13} + 23889403152 T^{14} + 51138872647 T^{15} + 137656247806 T^{16} + 169835630410 T^{17} + 322687697779 T^{18} \))(\( 1 + 10 T + 154 T^{2} + 1087 T^{3} + 9648 T^{4} + 54358 T^{5} + 361242 T^{6} + 1729463 T^{7} + 9424332 T^{8} + 38786652 T^{9} + 179062308 T^{10} + 624336143 T^{11} + 2477758878 T^{12} + 7083988918 T^{13} + 23889403152 T^{14} + 51138872647 T^{15} + 137656247806 T^{16} + 169835630410 T^{17} + 322687697779 T^{18} \))(\( 1 - 8 T + 129 T^{2} - 782 T^{3} + 7183 T^{4} - 38111 T^{5} + 260210 T^{6} - 1339878 T^{7} + 7370283 T^{8} - 37496113 T^{9} + 172035206 T^{10} - 849459602 T^{11} + 3458078643 T^{12} - 16139732438 T^{13} + 62104709366 T^{14} - 257185839067 T^{15} + 960502650843 T^{16} - 3317670575922 T^{17} + 12241808695010 T^{18} - 34066345845029 T^{19} + 121992933323503 T^{20} - 252341779663178 T^{21} + 790907547256329 T^{22} - 931922071185752 T^{23} + 2213314919066161 T^{24} \))(\( 1 - 2 T + 143 T^{2} - 226 T^{3} + 10027 T^{4} - 12501 T^{5} + 459424 T^{6} - 451004 T^{7} + 15440053 T^{8} - 12114979 T^{9} + 404393020 T^{10} - 265891932 T^{11} + 8522163709 T^{12} - 5051946708 T^{13} + 145985880220 T^{14} - 83096640961 T^{15} + 2012163147013 T^{16} - 1116730553396 T^{17} + 21614006832544 T^{18} - 11174290609239 T^{19} + 170294186612107 T^{20} - 72927419698054 T^{21} + 876742474865543 T^{22} - 232980517796438 T^{23} + 2213314919066161 T^{24} \))(\( 1 + 4 T + 81 T^{2} + 258 T^{3} + 3843 T^{4} + 10693 T^{5} + 125306 T^{6} + 298422 T^{7} + 3198555 T^{8} + 6708439 T^{9} + 68590826 T^{10} + 131253174 T^{11} + 1346523227 T^{12} + 2493810306 T^{13} + 24761288186 T^{14} + 46013183101 T^{15} + 416838886155 T^{16} + 738922415778 T^{17} + 5895131164586 T^{18} + 9558170505127 T^{19} + 65267832766563 T^{20} + 83253426026982 T^{21} + 496616366881881 T^{22} + 465961035592876 T^{23} + 2213314919066161 T^{24} \))(\( 1 + 10 T + 127 T^{2} + 934 T^{3} + 6719 T^{4} + 38183 T^{5} + 196112 T^{6} + 876536 T^{7} + 3480005 T^{8} + 12122933 T^{9} + 40733640 T^{10} + 118097532 T^{11} + 509348397 T^{12} + 2243853108 T^{13} + 14704844040 T^{14} + 83151197447 T^{15} + 453517731605 T^{16} + 2170389913064 T^{17} + 9226261814672 T^{18} + 34130704610237 T^{19} + 114112560072479 T^{20} + 301390309725586 T^{21} + 778645414740727 T^{22} + 1164902588982190 T^{23} + 2213314919066161 T^{24} \))(\( 1 + 10 T + 127 T^{2} + 934 T^{3} + 6719 T^{4} + 38183 T^{5} + 196112 T^{6} + 876536 T^{7} + 3480005 T^{8} + 12122933 T^{9} + 40733640 T^{10} + 118097532 T^{11} + 509348397 T^{12} + 2243853108 T^{13} + 14704844040 T^{14} + 83151197447 T^{15} + 453517731605 T^{16} + 2170389913064 T^{17} + 9226261814672 T^{18} + 34130704610237 T^{19} + 114112560072479 T^{20} + 301390309725586 T^{21} + 778645414740727 T^{22} + 1164902588982190 T^{23} + 2213314919066161 T^{24} \))(\( 1 + 4 T + 81 T^{2} + 258 T^{3} + 3843 T^{4} + 10693 T^{5} + 125306 T^{6} + 298422 T^{7} + 3198555 T^{8} + 6708439 T^{9} + 68590826 T^{10} + 131253174 T^{11} + 1346523227 T^{12} + 2493810306 T^{13} + 24761288186 T^{14} + 46013183101 T^{15} + 416838886155 T^{16} + 738922415778 T^{17} + 5895131164586 T^{18} + 9558170505127 T^{19} + 65267832766563 T^{20} + 83253426026982 T^{21} + 496616366881881 T^{22} + 465961035592876 T^{23} + 2213314919066161 T^{24} \))(\( 1 - 2 T + 143 T^{2} - 226 T^{3} + 10027 T^{4} - 12501 T^{5} + 459424 T^{6} - 451004 T^{7} + 15440053 T^{8} - 12114979 T^{9} + 404393020 T^{10} - 265891932 T^{11} + 8522163709 T^{12} - 5051946708 T^{13} + 145985880220 T^{14} - 83096640961 T^{15} + 2012163147013 T^{16} - 1116730553396 T^{17} + 21614006832544 T^{18} - 11174290609239 T^{19} + 170294186612107 T^{20} - 72927419698054 T^{21} + 876742474865543 T^{22} - 232980517796438 T^{23} + 2213314919066161 T^{24} \))(\( 1 - 8 T + 129 T^{2} - 782 T^{3} + 7183 T^{4} - 38111 T^{5} + 260210 T^{6} - 1339878 T^{7} + 7370283 T^{8} - 37496113 T^{9} + 172035206 T^{10} - 849459602 T^{11} + 3458078643 T^{12} - 16139732438 T^{13} + 62104709366 T^{14} - 257185839067 T^{15} + 960502650843 T^{16} - 3317670575922 T^{17} + 12241808695010 T^{18} - 34066345845029 T^{19} + 121992933323503 T^{20} - 252341779663178 T^{21} + 790907547256329 T^{22} - 931922071185752 T^{23} + 2213314919066161 T^{24} \))(\( 1 - 14 T + 169 T^{2} - 1403 T^{3} + 11488 T^{4} - 78175 T^{5} + 522320 T^{6} - 3035681 T^{7} + 17497829 T^{8} - 90997285 T^{9} + 473230201 T^{10} - 2251728068 T^{11} + 10805853754 T^{12} - 48136741502 T^{13} + 217617850140 T^{14} - 914598088538 T^{15} + 3900913205194 T^{16} - 15444602818412 T^{17} + 61671833024521 T^{18} - 225318286391215 T^{19} + 823200780892349 T^{20} - 2713509454519259 T^{21} + 8870854647575120 T^{22} - 25226110773873325 T^{23} + 70433689169617888 T^{24} - 163435833234201257 T^{25} + 374050221322181209 T^{26} - 588741768471598826 T^{27} + 799006685782884121 T^{28} \))(\( 1 - 14 T + 169 T^{2} - 1403 T^{3} + 11488 T^{4} - 78175 T^{5} + 522320 T^{6} - 3035681 T^{7} + 17497829 T^{8} - 90997285 T^{9} + 473230201 T^{10} - 2251728068 T^{11} + 10805853754 T^{12} - 48136741502 T^{13} + 217617850140 T^{14} - 914598088538 T^{15} + 3900913205194 T^{16} - 15444602818412 T^{17} + 61671833024521 T^{18} - 225318286391215 T^{19} + 823200780892349 T^{20} - 2713509454519259 T^{21} + 8870854647575120 T^{22} - 25226110773873325 T^{23} + 70433689169617888 T^{24} - 163435833234201257 T^{25} + 374050221322181209 T^{26} - 588741768471598826 T^{27} + 799006685782884121 T^{28} \))(\( 1 - 10 T + 233 T^{2} - 1849 T^{3} + 24703 T^{4} - 164799 T^{5} + 1637491 T^{6} - 9505444 T^{7} + 77594475 T^{8} - 400714476 T^{9} + 2829452813 T^{10} - 13199060119 T^{11} + 83133680565 T^{12} - 354150322561 T^{13} + 2027903567399 T^{14} - 7944825738298 T^{15} + 41795280996480 T^{16} - 150951689027662 T^{17} + 732073187831039 T^{18} - 2429117062445899 T^{19} + 10834064384911365 T^{20} - 32682179561595781 T^{21} + 133114100335513253 T^{22} - 358187345504593764 T^{23} + 1317830657795798475 T^{24} - 3067289840727208876 T^{25} + 10039565817552817291 T^{26} - 19197478176167592981 T^{27} + 54675518445691375183 T^{28} - 77755966421713302091 T^{29} + \)\(18\!\cdots\!93\)\( T^{30} - \)\(15\!\cdots\!90\)\( T^{31} + \)\(28\!\cdots\!81\)\( T^{32} \))(\( 1 - 10 T + 233 T^{2} - 1849 T^{3} + 24703 T^{4} - 164799 T^{5} + 1637491 T^{6} - 9505444 T^{7} + 77594475 T^{8} - 400714476 T^{9} + 2829452813 T^{10} - 13199060119 T^{11} + 83133680565 T^{12} - 354150322561 T^{13} + 2027903567399 T^{14} - 7944825738298 T^{15} + 41795280996480 T^{16} - 150951689027662 T^{17} + 732073187831039 T^{18} - 2429117062445899 T^{19} + 10834064384911365 T^{20} - 32682179561595781 T^{21} + 133114100335513253 T^{22} - 358187345504593764 T^{23} + 1317830657795798475 T^{24} - 3067289840727208876 T^{25} + 10039565817552817291 T^{26} - 19197478176167592981 T^{27} + 54675518445691375183 T^{28} - 77755966421713302091 T^{29} + \)\(18\!\cdots\!93\)\( T^{30} - \)\(15\!\cdots\!90\)\( T^{31} + \)\(28\!\cdots\!81\)\( T^{32} \))
$23$ (\( 1 + 5 T + 23 T^{2} \))(\( 1 - 5 T + 23 T^{2} \))(\( 1 - 12 T + 79 T^{2} - 276 T^{3} + 529 T^{4} \))(\( 1 + 12 T + 79 T^{2} + 276 T^{3} + 529 T^{4} \))(\( 1 - 21 T + 315 T^{2} - 3351 T^{3} + 29840 T^{4} - 220880 T^{5} + 1441926 T^{6} - 8201727 T^{7} + 41898423 T^{8} - 188639721 T^{9} + 762778854 T^{10} - 2687446960 T^{11} + 8350455440 T^{12} - 21568185393 T^{13} + 46631305035 T^{14} - 71501334387 T^{15} + 78310985281 T^{16} \))(\( 1 + 21 T + 315 T^{2} + 3351 T^{3} + 29840 T^{4} + 220880 T^{5} + 1441926 T^{6} + 8201727 T^{7} + 41898423 T^{8} + 188639721 T^{9} + 762778854 T^{10} + 2687446960 T^{11} + 8350455440 T^{12} + 21568185393 T^{13} + 46631305035 T^{14} + 71501334387 T^{15} + 78310985281 T^{16} \))(\( 1 - 8 T + 177 T^{2} - 1015 T^{3} + 12770 T^{4} - 54339 T^{5} + 524816 T^{6} - 1728021 T^{7} + 14993524 T^{8} - 42219669 T^{9} + 344851052 T^{10} - 914123109 T^{11} + 6385436272 T^{12} - 15206280099 T^{13} + 82192100110 T^{14} - 150256427335 T^{15} + 602654104119 T^{16} - 626487882248 T^{17} + 1801152661463 T^{18} \))(\( 1 + 8 T + 177 T^{2} + 1015 T^{3} + 12770 T^{4} + 54339 T^{5} + 524816 T^{6} + 1728021 T^{7} + 14993524 T^{8} + 42219669 T^{9} + 344851052 T^{10} + 914123109 T^{11} + 6385436272 T^{12} + 15206280099 T^{13} + 82192100110 T^{14} + 150256427335 T^{15} + 602654104119 T^{16} + 626487882248 T^{17} + 1801152661463 T^{18} \))(\( 1 + 11 T + 262 T^{2} + 2269 T^{3} + 30685 T^{4} + 221080 T^{5} + 2185501 T^{6} + 13469165 T^{7} + 106742913 T^{8} + 570337343 T^{9} + 3787749917 T^{10} + 17621235363 T^{11} + 100387404119 T^{12} + 405288413349 T^{13} + 2003719706093 T^{14} + 6939294452281 T^{15} + 29871043516833 T^{16} + 86692165863595 T^{17} + 323532583445389 T^{18} + 752738809822760 T^{19} + 2402972583347485 T^{20} + 4086815388859547 T^{21} + 10853745937976038 T^{22} + 10480907337053197 T^{23} + 21914624432020321 T^{24} \))(\( 1 + 9 T + 164 T^{2} + 1157 T^{3} + 13061 T^{4} + 78224 T^{5} + 689511 T^{6} + 3640497 T^{7} + 27275253 T^{8} + 129726161 T^{9} + 856762847 T^{10} + 3689448901 T^{11} + 21824414143 T^{12} + 84857324723 T^{13} + 453227546063 T^{14} + 1578378200887 T^{15} + 7632734074773 T^{16} + 23431487382471 T^{17} + 102072373860279 T^{18} + 266339065766128 T^{19} + 1022819778755141 T^{20} + 2083933629312691 T^{21} + 6793947839038436 T^{22} + 8575287821225343 T^{23} + 21914624432020321 T^{24} \))(\( 1 - 13 T + 142 T^{2} - 1143 T^{3} + 8673 T^{4} - 59528 T^{5} + 394597 T^{6} - 2406983 T^{7} + 14176685 T^{8} - 77968405 T^{9} + 418881201 T^{10} - 2133677593 T^{11} + 10521531035 T^{12} - 49074584639 T^{13} + 221588155329 T^{14} - 948641583635 T^{15} + 3967217707085 T^{16} - 15492168183169 T^{17} + 58414517691733 T^{18} - 202682449209016 T^{19} + 679191175342113 T^{20} - 2058717492052209 T^{21} + 5882564592338158 T^{22} - 12386526852881051 T^{23} + 21914624432020321 T^{24} \))(\( 1 - 15 T + 268 T^{2} - 2999 T^{3} + 32777 T^{4} - 289696 T^{5} + 2422679 T^{6} - 17672115 T^{7} + 121520833 T^{8} - 751073331 T^{9} + 4381416603 T^{10} - 23264664391 T^{11} + 116738365747 T^{12} - 535087280993 T^{13} + 2317769382987 T^{14} - 9138309218277 T^{15} + 34006511427553 T^{16} - 113743793675445 T^{17} + 358643439526631 T^{18} - 986364312694112 T^{19} + 2566799164555337 T^{20} - 5401656831727537 T^{21} + 11102305005257932 T^{22} - 14292146368708905 T^{23} + 21914624432020321 T^{24} \))(\( 1 + 15 T + 268 T^{2} + 2999 T^{3} + 32777 T^{4} + 289696 T^{5} + 2422679 T^{6} + 17672115 T^{7} + 121520833 T^{8} + 751073331 T^{9} + 4381416603 T^{10} + 23264664391 T^{11} + 116738365747 T^{12} + 535087280993 T^{13} + 2317769382987 T^{14} + 9138309218277 T^{15} + 34006511427553 T^{16} + 113743793675445 T^{17} + 358643439526631 T^{18} + 986364312694112 T^{19} + 2566799164555337 T^{20} + 5401656831727537 T^{21} + 11102305005257932 T^{22} + 14292146368708905 T^{23} + 21914624432020321 T^{24} \))(\( 1 + 13 T + 142 T^{2} + 1143 T^{3} + 8673 T^{4} + 59528 T^{5} + 394597 T^{6} + 2406983 T^{7} + 14176685 T^{8} + 77968405 T^{9} + 418881201 T^{10} + 2133677593 T^{11} + 10521531035 T^{12} + 49074584639 T^{13} + 221588155329 T^{14} + 948641583635 T^{15} + 3967217707085 T^{16} + 15492168183169 T^{17} + 58414517691733 T^{18} + 202682449209016 T^{19} + 679191175342113 T^{20} + 2058717492052209 T^{21} + 5882564592338158 T^{22} + 12386526852881051 T^{23} + 21914624432020321 T^{24} \))(\( 1 - 9 T + 164 T^{2} - 1157 T^{3} + 13061 T^{4} - 78224 T^{5} + 689511 T^{6} - 3640497 T^{7} + 27275253 T^{8} - 129726161 T^{9} + 856762847 T^{10} - 3689448901 T^{11} + 21824414143 T^{12} - 84857324723 T^{13} + 453227546063 T^{14} - 1578378200887 T^{15} + 7632734074773 T^{16} - 23431487382471 T^{17} + 102072373860279 T^{18} - 266339065766128 T^{19} + 1022819778755141 T^{20} - 2083933629312691 T^{21} + 6793947839038436 T^{22} - 8575287821225343 T^{23} + 21914624432020321 T^{24} \))(\( 1 - 11 T + 262 T^{2} - 2269 T^{3} + 30685 T^{4} - 221080 T^{5} + 2185501 T^{6} - 13469165 T^{7} + 106742913 T^{8} - 570337343 T^{9} + 3787749917 T^{10} - 17621235363 T^{11} + 100387404119 T^{12} - 405288413349 T^{13} + 2003719706093 T^{14} - 6939294452281 T^{15} + 29871043516833 T^{16} - 86692165863595 T^{17} + 323532583445389 T^{18} - 752738809822760 T^{19} + 2402972583347485 T^{20} - 4086815388859547 T^{21} + 10853745937976038 T^{22} - 10480907337053197 T^{23} + 21914624432020321 T^{24} \))(\( 1 + 30 T + 584 T^{2} + 8287 T^{3} + 96925 T^{4} + 963908 T^{5} + 8497143 T^{6} + 67352281 T^{7} + 489924256 T^{8} + 3292775643 T^{9} + 20674520004 T^{10} + 121569332525 T^{11} + 673577436637 T^{12} + 3516529515759 T^{13} + 17358630554967 T^{14} + 80880178862457 T^{15} + 356322463980973 T^{16} + 1479134068831675 T^{17} + 5785578352439364 T^{18} + 21193433460393549 T^{19} + 72526372779623584 T^{20} + 229322760262294607 T^{21} + 665419640403552183 T^{22} + 1736145459605477404 T^{23} + 4015264599382929325 T^{24} + 7895934463832713049 T^{25} + 12798140668299867464 T^{26} + 15121090858094021490 T^{27} + 11592836324538749809 T^{28} \))(\( 1 - 30 T + 584 T^{2} - 8287 T^{3} + 96925 T^{4} - 963908 T^{5} + 8497143 T^{6} - 67352281 T^{7} + 489924256 T^{8} - 3292775643 T^{9} + 20674520004 T^{10} - 121569332525 T^{11} + 673577436637 T^{12} - 3516529515759 T^{13} + 17358630554967 T^{14} - 80880178862457 T^{15} + 356322463980973 T^{16} - 1479134068831675 T^{17} + 5785578352439364 T^{18} - 21193433460393549 T^{19} + 72526372779623584 T^{20} - 229322760262294607 T^{21} + 665419640403552183 T^{22} - 1736145459605477404 T^{23} + 4015264599382929325 T^{24} - 7895934463832713049 T^{25} + 12798140668299867464 T^{26} - 15121090858094021490 T^{27} + 11592836324538749809 T^{28} \))(\( 1 + 10 T + 231 T^{2} + 1965 T^{3} + 25974 T^{4} + 193341 T^{5} + 1907808 T^{6} + 12717628 T^{7} + 103446656 T^{8} + 627139540 T^{9} + 4419557421 T^{10} + 24602786647 T^{11} + 154610899217 T^{12} + 794751432473 T^{13} + 4534379053794 T^{14} + 21563767490965 T^{15} + 112936238951801 T^{16} + 495966652292195 T^{17} + 2398686519457026 T^{18} + 9669740678898991 T^{19} + 43266468647784497 T^{20} + 158351973615911921 T^{21} + 654253111804282269 T^{22} + 2135300664611874380 T^{23} + 8101009555384670336 T^{24} + 22906389519696369764 T^{25} + 79033829505489271392 T^{26} + \)\(18\!\cdots\!07\)\( T^{27} + \)\(56\!\cdots\!54\)\( T^{28} + \)\(99\!\cdots\!95\)\( T^{29} + \)\(26\!\cdots\!79\)\( T^{30} + \)\(26\!\cdots\!70\)\( T^{31} + \)\(61\!\cdots\!61\)\( T^{32} \))(\( 1 - 10 T + 231 T^{2} - 1965 T^{3} + 25974 T^{4} - 193341 T^{5} + 1907808 T^{6} - 12717628 T^{7} + 103446656 T^{8} - 627139540 T^{9} + 4419557421 T^{10} - 24602786647 T^{11} + 154610899217 T^{12} - 794751432473 T^{13} + 4534379053794 T^{14} - 21563767490965 T^{15} + 112936238951801 T^{16} - 495966652292195 T^{17} + 2398686519457026 T^{18} - 9669740678898991 T^{19} + 43266468647784497 T^{20} - 158351973615911921 T^{21} + 654253111804282269 T^{22} - 2135300664611874380 T^{23} + 8101009555384670336 T^{24} - 22906389519696369764 T^{25} + 79033829505489271392 T^{26} - \)\(18\!\cdots\!07\)\( T^{27} + \)\(56\!\cdots\!54\)\( T^{28} - \)\(99\!\cdots\!95\)\( T^{29} + \)\(26\!\cdots\!79\)\( T^{30} - \)\(26\!\cdots\!70\)\( T^{31} + \)\(61\!\cdots\!61\)\( T^{32} \))
$29$ (\( 1 - T + 29 T^{2} \))(\( 1 + T + 29 T^{2} \))(\( 1 + 55 T^{2} + 841 T^{4} \))(\( 1 + 55 T^{2} + 841 T^{4} \))(\( 1 - 3 T + 116 T^{2} - 257 T^{3} + 5913 T^{4} - 5002 T^{5} + 188655 T^{6} + 144119 T^{7} + 5241187 T^{8} + 4179451 T^{9} + 158658855 T^{10} - 121993778 T^{11} + 4182152553 T^{12} - 5271365293 T^{13} + 68999505236 T^{14} - 51749628927 T^{15} + 500246412961 T^{16} \))(\( 1 + 3 T + 116 T^{2} + 257 T^{3} + 5913 T^{4} + 5002 T^{5} + 188655 T^{6} - 144119 T^{7} + 5241187 T^{8} - 4179451 T^{9} + 158658855 T^{10} + 121993778 T^{11} + 4182152553 T^{12} + 5271365293 T^{13} + 68999505236 T^{14} + 51749628927 T^{15} + 500246412961 T^{16} \))(\( 1 - 4 T + 140 T^{2} - 228 T^{3} + 8814 T^{4} - 1232 T^{5} + 406708 T^{6} + 76890 T^{7} + 15758047 T^{8} + 990911 T^{9} + 456983363 T^{10} + 64664490 T^{11} + 9919201412 T^{12} - 871370192 T^{13} + 180785267286 T^{14} - 135619717188 T^{15} + 2414982683260 T^{16} - 2000985651844 T^{17} + 14507145975869 T^{18} \))(\( 1 + 4 T + 140 T^{2} + 228 T^{3} + 8814 T^{4} + 1232 T^{5} + 406708 T^{6} - 76890 T^{7} + 15758047 T^{8} - 990911 T^{9} + 456983363 T^{10} - 64664490 T^{11} + 9919201412 T^{12} + 871370192 T^{13} + 180785267286 T^{14} + 135619717188 T^{15} + 2414982683260 T^{16} + 2000985651844 T^{17} + 14507145975869 T^{18} \))(\( 1 + 29 T + 609 T^{2} + 9253 T^{3} + 117590 T^{4} + 1265253 T^{5} + 12043636 T^{6} + 102332654 T^{7} + 791357894 T^{8} + 5594431404 T^{9} + 36508906376 T^{10} + 220065448467 T^{11} + 1231373716743 T^{12} + 6381898005543 T^{13} + 30703990262216 T^{14} + 136442587512156 T^{15} + 559712402626214 T^{16} + 2098960313759446 T^{17} + 7163835562435156 T^{18} + 21825457749591177 T^{19} + 58823975700083990 T^{20} + 134234621714715857 T^{21} + 256210705079822409 T^{22} + 353814783205469041 T^{23} + 353814783205469041 T^{24} \))(\( 1 + 19 T + 421 T^{2} + 5467 T^{3} + 72294 T^{4} + 725015 T^{5} + 7169556 T^{6} + 58779582 T^{7} + 470430092 T^{8} + 3247459554 T^{9} + 21808912434 T^{10} + 128624114567 T^{11} + 737186448151 T^{12} + 3730099322443 T^{13} + 18341295356994 T^{14} + 79202291062506 T^{15} + 332726265899852 T^{16} + 1205636764559718 T^{17} + 4264619110015476 T^{18} + 12506419072169635 T^{19} + 36164814178602534 T^{20} + 79310567050075823 T^{21} + 177117745219384621 T^{22} + 231809685548410751 T^{23} + 353814783205469041 T^{24} \))(\( 1 - 23 T + 395 T^{2} - 4877 T^{3} + 51758 T^{4} - 469685 T^{5} + 3858600 T^{6} - 28750460 T^{7} + 199074860 T^{8} - 1286588538 T^{9} + 7851838688 T^{10} - 45444927621 T^{11} + 250591717289 T^{12} - 1317902901009 T^{13} + 6603396336608 T^{14} - 31378607853282 T^{15} + 140801866055660 T^{16} - 589704968878540 T^{17} + 2295185266410600 T^{18} - 8102008154192665 T^{19} + 25891753842035438 T^{20} - 70751350924313113 T^{21} + 166179357153579395 T^{22} - 280611724611234067 T^{23} + 353814783205469041 T^{24} \))(\( 1 - 33 T + 647 T^{2} - 9211 T^{3} + 106462 T^{4} - 1046559 T^{5} + 9064944 T^{6} - 70513256 T^{7} + 501529378 T^{8} - 3300509040 T^{9} + 20342854914 T^{10} - 118306330217 T^{11} + 653439497197 T^{12} - 3430883576293 T^{13} + 17108340982674 T^{14} - 80496114976560 T^{15} + 354722200001218 T^{16} - 1446307900291144 T^{17} + 5392040094759024 T^{18} - 18053013300070731 T^{19} + 53257233616653982 T^{20} - 133625321583729359 T^{21} + 272197579945230047 T^{22} - 402616822268292357 T^{23} + 353814783205469041 T^{24} \))(\( 1 + 33 T + 647 T^{2} + 9211 T^{3} + 106462 T^{4} + 1046559 T^{5} + 9064944 T^{6} + 70513256 T^{7} + 501529378 T^{8} + 3300509040 T^{9} + 20342854914 T^{10} + 118306330217 T^{11} + 653439497197 T^{12} + 3430883576293 T^{13} + 17108340982674 T^{14} + 80496114976560 T^{15} + 354722200001218 T^{16} + 1446307900291144 T^{17} + 5392040094759024 T^{18} + 18053013300070731 T^{19} + 53257233616653982 T^{20} + 133625321583729359 T^{21} + 272197579945230047 T^{22} + 402616822268292357 T^{23} + 353814783205469041 T^{24} \))(\( 1 + 23 T + 395 T^{2} + 4877 T^{3} + 51758 T^{4} + 469685 T^{5} + 3858600 T^{6} + 28750460 T^{7} + 199074860 T^{8} + 1286588538 T^{9} + 7851838688 T^{10} + 45444927621 T^{11} + 250591717289 T^{12} + 1317902901009 T^{13} + 6603396336608 T^{14} + 31378607853282 T^{15} + 140801866055660 T^{16} + 589704968878540 T^{17} + 2295185266410600 T^{18} + 8102008154192665 T^{19} + 25891753842035438 T^{20} + 70751350924313113 T^{21} + 166179357153579395 T^{22} + 280611724611234067 T^{23} + 353814783205469041 T^{24} \))(\( 1 - 19 T + 421 T^{2} - 5467 T^{3} + 72294 T^{4} - 725015 T^{5} + 7169556 T^{6} - 58779582 T^{7} + 470430092 T^{8} - 3247459554 T^{9} + 21808912434 T^{10} - 128624114567 T^{11} + 737186448151 T^{12} - 3730099322443 T^{13} + 18341295356994 T^{14} - 79202291062506 T^{15} + 332726265899852 T^{16} - 1205636764559718 T^{17} + 4264619110015476 T^{18} - 12506419072169635 T^{19} + 36164814178602534 T^{20} - 79310567050075823 T^{21} + 177117745219384621 T^{22} - 231809685548410751 T^{23} + 353814783205469041 T^{24} \))(\( 1 - 29 T + 609 T^{2} - 9253 T^{3} + 117590 T^{4} - 1265253 T^{5} + 12043636 T^{6} - 102332654 T^{7} + 791357894 T^{8} - 5594431404 T^{9} + 36508906376 T^{10} - 220065448467 T^{11} + 1231373716743 T^{12} - 6381898005543 T^{13} + 30703990262216 T^{14} - 136442587512156 T^{15} + 559712402626214 T^{16} - 2098960313759446 T^{17} + 7163835562435156 T^{18} - 21825457749591177 T^{19} + 58823975700083990 T^{20} - 134234621714715857 T^{21} + 256210705079822409 T^{22} - 353814783205469041 T^{23} + 353814783205469041 T^{24} \))(\( 1 + 6 T + 181 T^{2} + 1020 T^{3} + 14668 T^{4} + 73882 T^{5} + 710119 T^{6} + 2807471 T^{7} + 22480794 T^{8} + 45950648 T^{9} + 431717642 T^{10} - 836466161 T^{11} + 2151226620 T^{12} - 73261063515 T^{13} - 88428928137 T^{14} - 2124570841935 T^{15} + 1809181587420 T^{16} - 20400573200629 T^{17} + 305345685551402 T^{18} + 942500587774552 T^{19} + 13372100545796874 T^{20} + 48428527491104539 T^{21} + 355234482525452359 T^{22} + 1071816958989153458 T^{23} + 6170933698047348268 T^{24} + 12444519961019945580 T^{25} + 64040475760189896421 T^{26} + 61563772277751613134 T^{27} + \)\(29\!\cdots\!81\)\( T^{28} \))(\( 1 - 6 T + 181 T^{2} - 1020 T^{3} + 14668 T^{4} - 73882 T^{5} + 710119 T^{6} - 2807471 T^{7} + 22480794 T^{8} - 45950648 T^{9} + 431717642 T^{10} + 836466161 T^{11} + 2151226620 T^{12} + 73261063515 T^{13} - 88428928137 T^{14} + 2124570841935 T^{15} + 1809181587420 T^{16} + 20400573200629 T^{17} + 305345685551402 T^{18} - 942500587774552 T^{19} + 13372100545796874 T^{20} - 48428527491104539 T^{21} + 355234482525452359 T^{22} - 1071816958989153458 T^{23} + 6170933698047348268 T^{24} - 12444519961019945580 T^{25} + 64040475760189896421 T^{26} - 61563772277751613134 T^{27} + \)\(29\!\cdots\!81\)\( T^{28} \))(\( 1 + 6 T + 200 T^{2} + 802 T^{3} + 18548 T^{4} + 54884 T^{5} + 1178934 T^{6} + 2930047 T^{7} + 59710763 T^{8} + 138920047 T^{9} + 2550922831 T^{10} + 5911371606 T^{11} + 95302405018 T^{12} + 224903846136 T^{13} + 3197686961249 T^{14} + 7542310153573 T^{15} + 97336321600103 T^{16} + 218726994453617 T^{17} + 2689254734410409 T^{18} + 5485179903410904 T^{19} + 67405580323536058 T^{20} + 121249023805035294 T^{21} + 1517348389950141751 T^{22} + 2396353627590466523 T^{23} + 29870095005914399243 T^{24} + 42506619545157035843 T^{25} + \)\(49\!\cdots\!34\)\( T^{26} + \)\(66\!\cdots\!36\)\( T^{27} + \)\(65\!\cdots\!68\)\( T^{28} + \)\(82\!\cdots\!78\)\( T^{29} + \)\(59\!\cdots\!00\)\( T^{30} + \)\(51\!\cdots\!94\)\( T^{31} + \)\(25\!\cdots\!21\)\( T^{32} \))(\( 1 - 6 T + 200 T^{2} - 802 T^{3} + 18548 T^{4} - 54884 T^{5} + 1178934 T^{6} - 2930047 T^{7} + 59710763 T^{8} - 138920047 T^{9} + 2550922831 T^{10} - 5911371606 T^{11} + 95302405018 T^{12} - 224903846136 T^{13} + 3197686961249 T^{14} - 7542310153573 T^{15} + 97336321600103 T^{16} - 218726994453617 T^{17} + 2689254734410409 T^{18} - 5485179903410904 T^{19} + 67405580323536058 T^{20} - 121249023805035294 T^{21} + 1517348389950141751 T^{22} - 2396353627590466523 T^{23} + 29870095005914399243 T^{24} - 42506619545157035843 T^{25} + \)\(49\!\cdots\!34\)\( T^{26} - \)\(66\!\cdots\!36\)\( T^{27} + \)\(65\!\cdots\!68\)\( T^{28} - \)\(82\!\cdots\!78\)\( T^{29} + \)\(59\!\cdots\!00\)\( T^{30} - \)\(51\!\cdots\!94\)\( T^{31} + \)\(25\!\cdots\!21\)\( T^{32} \))
$31$ (\( 1 + 5 T + 31 T^{2} \))(\( 1 + 5 T + 31 T^{2} \))(\( ( 1 - T + 31 T^{2} )^{2} \))(\( ( 1 - T + 31 T^{2} )^{2} \))(\( 1 + 4 T + 143 T^{2} + 277 T^{3} + 9440 T^{4} + 5823 T^{5} + 413774 T^{6} - 77032 T^{7} + 14007581 T^{8} - 2387992 T^{9} + 397636814 T^{10} + 173472993 T^{11} + 8718038240 T^{12} + 7930274827 T^{13} + 126913026383 T^{14} + 110050456444 T^{15} + 852891037441 T^{16} \))(\( 1 + 4 T + 143 T^{2} + 277 T^{3} + 9440 T^{4} + 5823 T^{5} + 413774 T^{6} - 77032 T^{7} + 14007581 T^{8} - 2387992 T^{9} + 397636814 T^{10} + 173472993 T^{11} + 8718038240 T^{12} + 7930274827 T^{13} + 126913026383 T^{14} + 110050456444 T^{15} + 852891037441 T^{16} \))(\( 1 + 17 T + 294 T^{2} + 3288 T^{3} + 35058 T^{4} + 299254 T^{5} + 2415185 T^{6} + 16688137 T^{7} + 109028017 T^{8} + 624140757 T^{9} + 3379868527 T^{10} + 16037299657 T^{11} + 71950776335 T^{12} + 276367353334 T^{13} + 1003680775758 T^{14} + 2918112103128 T^{15} + 8088708548634 T^{16} + 14499147636497 T^{17} + 26439622160671 T^{18} \))(\( 1 + 17 T + 294 T^{2} + 3288 T^{3} + 35058 T^{4} + 299254 T^{5} + 2415185 T^{6} + 16688137 T^{7} + 109028017 T^{8} + 624140757 T^{9} + 3379868527 T^{10} + 16037299657 T^{11} + 71950776335 T^{12} + 276367353334 T^{13} + 1003680775758 T^{14} + 2918112103128 T^{15} + 8088708548634 T^{16} + 14499147636497 T^{17} + 26439622160671 T^{18} \))(\( 1 - 2 T + 316 T^{2} - 629 T^{3} + 47111 T^{4} - 90807 T^{5} + 4384473 T^{6} - 7978244 T^{7} + 283776859 T^{8} - 475465865 T^{9} + 13457602963 T^{10} - 20221270731 T^{11} + 479490551393 T^{12} - 626859392661 T^{13} + 12932756447443 T^{14} - 14164603584215 T^{15} + 262073888600539 T^{16} - 228410352190844 T^{17} + 3891235926745113 T^{18} - 2498337949577577 T^{19} + 40180549664882951 T^{20} - 16630522339062059 T^{21} + 259002538685933116 T^{22} - 50816953792809662 T^{23} + 787662783788549761 T^{24} \))(\( 1 - 10 T + 238 T^{2} - 2081 T^{3} + 28109 T^{4} - 210477 T^{5} + 2139213 T^{6} - 13941262 T^{7} + 117503039 T^{8} - 680726339 T^{9} + 4999690949 T^{10} - 26064900855 T^{11} + 171532558799 T^{12} - 808011926505 T^{13} + 4804703001989 T^{14} - 20279518365149 T^{15} + 108516524080319 T^{16} - 399126494928562 T^{17} + 1898559411943053 T^{18} - 5790772480240947 T^{19} + 23973914171429069 T^{20} - 55020853716356351 T^{21} + 195071532301430638 T^{22} - 254084768964048310 T^{23} + 787662783788549761 T^{24} \))(\( 1 + 14 T + 160 T^{2} + 1419 T^{3} + 12651 T^{4} + 93889 T^{5} + 681265 T^{6} + 4370044 T^{7} + 28168003 T^{8} + 165872107 T^{9} + 1001880791 T^{10} + 5534240029 T^{11} + 31712932293 T^{12} + 171561440899 T^{13} + 962807440151 T^{14} + 4941495939637 T^{15} + 26013742298563 T^{16} + 125110649552644 T^{17} + 604625195236465 T^{18} + 2583131826267679 T^{19} + 10789924514666091 T^{20} + 37517823845992149 T^{21} + 131140525916928160 T^{22} + 355718676549667634 T^{23} + 787662783788549761 T^{24} \))(\( 1 + 6 T + 178 T^{2} + 999 T^{3} + 16153 T^{4} + 86715 T^{5} + 1009493 T^{6} + 5272578 T^{7} + 49204727 T^{8} + 249105881 T^{9} + 1979200121 T^{10} + 9495174993 T^{11} + 66874337227 T^{12} + 294350424783 T^{13} + 1902011316281 T^{14} + 7421113300871 T^{15} + 45441598683767 T^{16} + 150949431721278 T^{17} + 895928753443733 T^{18} + 2385756332635365 T^{19} + 13776748927784473 T^{20} + 26413182538510329 T^{21} + 145893835082582578 T^{22} + 152450861378428986 T^{23} + 787662783788549761 T^{24} \))(\( 1 + 6 T + 178 T^{2} + 999 T^{3} + 16153 T^{4} + 86715 T^{5} + 1009493 T^{6} + 5272578 T^{7} + 49204727 T^{8} + 249105881 T^{9} + 1979200121 T^{10} + 9495174993 T^{11} + 66874337227 T^{12} + 294350424783 T^{13} + 1902011316281 T^{14} + 7421113300871 T^{15} + 45441598683767 T^{16} + 150949431721278 T^{17} + 895928753443733 T^{18} + 2385756332635365 T^{19} + 13776748927784473 T^{20} + 26413182538510329 T^{21} + 145893835082582578 T^{22} + 152450861378428986 T^{23} + 787662783788549761 T^{24} \))(\( 1 + 14 T + 160 T^{2} + 1419 T^{3} + 12651 T^{4} + 93889 T^{5} + 681265 T^{6} + 4370044 T^{7} + 28168003 T^{8} + 165872107 T^{9} + 1001880791 T^{10} + 5534240029 T^{11} + 31712932293 T^{12} + 171561440899 T^{13} + 962807440151 T^{14} + 4941495939637 T^{15} + 26013742298563 T^{16} + 125110649552644 T^{17} + 604625195236465 T^{18} + 2583131826267679 T^{19} + 10789924514666091 T^{20} + 37517823845992149 T^{21} + 131140525916928160 T^{22} + 355718676549667634 T^{23} + 787662783788549761 T^{24} \))(\( 1 - 10 T + 238 T^{2} - 2081 T^{3} + 28109 T^{4} - 210477 T^{5} + 2139213 T^{6} - 13941262 T^{7} + 117503039 T^{8} - 680726339 T^{9} + 4999690949 T^{10} - 26064900855 T^{11} + 171532558799 T^{12} - 808011926505 T^{13} + 4804703001989 T^{14} - 20279518365149 T^{15} + 108516524080319 T^{16} - 399126494928562 T^{17} + 1898559411943053 T^{18} - 5790772480240947 T^{19} + 23973914171429069 T^{20} - 55020853716356351 T^{21} + 195071532301430638 T^{22} - 254084768964048310 T^{23} + 787662783788549761 T^{24} \))(\( 1 - 2 T + 316 T^{2} - 629 T^{3} + 47111 T^{4} - 90807 T^{5} + 4384473 T^{6} - 7978244 T^{7} + 283776859 T^{8} - 475465865 T^{9} + 13457602963 T^{10} - 20221270731 T^{11} + 479490551393 T^{12} - 626859392661 T^{13} + 12932756447443 T^{14} - 14164603584215 T^{15} + 262073888600539 T^{16} - 228410352190844 T^{17} + 3891235926745113 T^{18} - 2498337949577577 T^{19} + 40180549664882951 T^{20} - 16630522339062059 T^{21} + 259002538685933116 T^{22} - 50816953792809662 T^{23} + 787662783788549761 T^{24} \))(\( 1 - 11 T + 293 T^{2} - 2401 T^{3} + 37974 T^{4} - 249434 T^{5} + 3040390 T^{6} - 16528313 T^{7} + 172961258 T^{8} - 792069810 T^{9} + 7626311273 T^{10} - 30088144642 T^{11} + 280194802802 T^{12} - 994265734303 T^{13} + 9112906214803 T^{14} - 30822237763393 T^{15} + 269267205492722 T^{16} - 896355917029822 T^{17} + 7043058613152233 T^{18} - 22676286193031310 T^{19} + 153503753145390698 T^{20} - 454737097474824743 T^{21} + 2593121381325241990 T^{22} - 6594940714024810214 T^{23} + 31124564569808937174 T^{24} - 61005753028267999231 T^{25} + \)\(23\!\cdots\!73\)\( T^{26} - \)\(26\!\cdots\!01\)\( T^{27} + \)\(75\!\cdots\!21\)\( T^{28} \))(\( 1 - 11 T + 293 T^{2} - 2401 T^{3} + 37974 T^{4} - 249434 T^{5} + 3040390 T^{6} - 16528313 T^{7} + 172961258 T^{8} - 792069810 T^{9} + 7626311273 T^{10} - 30088144642 T^{11} + 280194802802 T^{12} - 994265734303 T^{13} + 9112906214803 T^{14} - 30822237763393 T^{15} + 269267205492722 T^{16} - 896355917029822 T^{17} + 7043058613152233 T^{18} - 22676286193031310 T^{19} + 153503753145390698 T^{20} - 454737097474824743 T^{21} + 2593121381325241990 T^{22} - 6594940714024810214 T^{23} + 31124564569808937174 T^{24} - 61005753028267999231 T^{25} + \)\(23\!\cdots\!73\)\( T^{26} - \)\(26\!\cdots\!01\)\( T^{27} + \)\(75\!\cdots\!21\)\( T^{28} \))(\( 1 - 21 T + 406 T^{2} - 5418 T^{3} + 66194 T^{4} - 684138 T^{5} + 6616575 T^{6} - 57766014 T^{7} + 479436430 T^{8} - 3695295727 T^{9} + 27323117273 T^{10} - 190405288761 T^{11} + 1279391847883 T^{12} - 8167450042813 T^{13} + 50413604197098 T^{14} - 296760287069368 T^{15} + 1691074010419373 T^{16} - 9199568899150408 T^{17} + 48447473633411178 T^{18} - 243316504225442083 T^{19} + 1181545238748756043 T^{20} - 5451141763137271911 T^{21} + 24249367156182181913 T^{22} - \)\(10\!\cdots\!97\)\( T^{23} + \)\(40\!\cdots\!30\)\( T^{24} - \)\(15\!\cdots\!94\)\( T^{25} + \)\(54\!\cdots\!75\)\( T^{26} - \)\(17\!\cdots\!78\)\( T^{27} + \)\(52\!\cdots\!34\)\( T^{28} - \)\(13\!\cdots\!38\)\( T^{29} + \)\(30\!\cdots\!26\)\( T^{30} - \)\(49\!\cdots\!71\)\( T^{31} + \)\(72\!\cdots\!81\)\( T^{32} \))(\( 1 - 21 T + 406 T^{2} - 5418 T^{3} + 66194 T^{4} - 684138 T^{5} + 6616575 T^{6} - 57766014 T^{7} + 479436430 T^{8} - 3695295727 T^{9} + 27323117273 T^{10} - 190405288761 T^{11} + 1279391847883 T^{12} - 8167450042813 T^{13} + 50413604197098 T^{14} - 296760287069368 T^{15} + 1691074010419373 T^{16} - 9199568899150408 T^{17} + 48447473633411178 T^{18} - 243316504225442083 T^{19} + 1181545238748756043 T^{20} - 5451141763137271911 T^{21} + 24249367156182181913 T^{22} - \)\(10\!\cdots\!97\)\( T^{23} + \)\(40\!\cdots\!30\)\( T^{24} - \)\(15\!\cdots\!94\)\( T^{25} + \)\(54\!\cdots\!75\)\( T^{26} - \)\(17\!\cdots\!78\)\( T^{27} + \)\(52\!\cdots\!34\)\( T^{28} - \)\(13\!\cdots\!38\)\( T^{29} + \)\(30\!\cdots\!26\)\( T^{30} - \)\(49\!\cdots\!71\)\( T^{31} + \)\(72\!\cdots\!81\)\( T^{32} \))
$37$ (\( 1 + 6 T + 37 T^{2} \))(\( 1 + 6 T + 37 T^{2} \))(\( 1 - 2 T + 72 T^{2} - 74 T^{3} + 1369 T^{4} \))(\( 1 - 2 T + 72 T^{2} - 74 T^{3} + 1369 T^{4} \))(\( 1 + 3 T + 157 T^{2} + 169 T^{3} + 10925 T^{4} - 4578 T^{5} + 520980 T^{6} - 602386 T^{7} + 20795125 T^{8} - 22288282 T^{9} + 713221620 T^{10} - 231889434 T^{11} + 20475208925 T^{12} + 11719128733 T^{13} + 402819046213 T^{14} + 284795631399 T^{15} + 3512479453921 T^{16} \))(\( 1 + 3 T + 157 T^{2} + 169 T^{3} + 10925 T^{4} - 4578 T^{5} + 520980 T^{6} - 602386 T^{7} + 20795125 T^{8} - 22288282 T^{9} + 713221620 T^{10} - 231889434 T^{11} + 20475208925 T^{12} + 11719128733 T^{13} + 402819046213 T^{14} + 284795631399 T^{15} + 3512479453921 T^{16} \))(\( 1 + 11 T + 232 T^{2} + 1750 T^{3} + 21288 T^{4} + 115727 T^{5} + 1094681 T^{6} + 4383700 T^{7} + 40610911 T^{8} + 143060408 T^{9} + 1502603707 T^{10} + 6001285300 T^{11} + 55448876693 T^{12} + 216891030047 T^{13} + 1476194156616 T^{14} + 4490021215750 T^{15} + 22024195494856 T^{16} + 38637273993131 T^{17} + 129961739795077 T^{18} \))(\( 1 + 11 T + 232 T^{2} + 1750 T^{3} + 21288 T^{4} + 115727 T^{5} + 1094681 T^{6} + 4383700 T^{7} + 40610911 T^{8} + 143060408 T^{9} + 1502603707 T^{10} + 6001285300 T^{11} + 55448876693 T^{12} + 216891030047 T^{13} + 1476194156616 T^{14} + 4490021215750 T^{15} + 22024195494856 T^{16} + 38637273993131 T^{17} + 129961739795077 T^{18} \))(\( 1 - 5 T + 119 T^{2} - 115 T^{3} + 7645 T^{4} - 1649 T^{5} + 440841 T^{6} + 321802 T^{7} + 19993330 T^{8} + 6656905 T^{9} + 950071077 T^{10} + 125428093 T^{11} + 34857558493 T^{12} + 4640839441 T^{13} + 1300647304413 T^{14} + 337192208965 T^{15} + 37470719346130 T^{16} + 22315024050514 T^{17} + 1131077395869969 T^{18} - 156542665392317 T^{19} + 26852905425226045 T^{20} - 14945600076433855 T^{21} + 572221540317724031 T^{22} - 889588108897302065 T^{23} + 6582952005840035281 T^{24} \))(\( 1 - 11 T + 359 T^{2} - 3519 T^{3} + 62339 T^{4} - 540523 T^{5} + 6839425 T^{6} - 52371342 T^{7} + 525133134 T^{8} - 3545120461 T^{9} + 29642085735 T^{10} - 175713509903 T^{11} + 1259572750809 T^{12} - 6501399866411 T^{13} + 40580015371215 T^{14} - 179570986711033 T^{15} + 984184039550574 T^{16} - 3631636087680294 T^{17} + 17548093344874825 T^{18} - 51312863023560559 T^{19} + 218964456677981219 T^{20} - 457335362338875963 T^{21} + 1726281789698007791 T^{22} - 1957093839574064543 T^{23} + 6582952005840035281 T^{24} \))(\( 1 + 19 T + 435 T^{2} + 6117 T^{3} + 83873 T^{4} + 934343 T^{5} + 9736417 T^{6} + 89608258 T^{7} + 769486826 T^{8} + 6007577417 T^{9} + 44012372877 T^{10} + 296078381605 T^{11} + 1877232834877 T^{12} + 10954900119385 T^{13} + 60252938468613 T^{14} + 304301818903301 T^{15} + 1442142199302986 T^{16} + 6213791189596906 T^{17} + 24980982225936553 T^{18} + 88698934876078619 T^{19} + 294602189238716033 T^{20} + 794975962326486009 T^{21} + 2091734202001764315 T^{22} + 3380434813809747847 T^{23} + 6582952005840035281 T^{24} \))(\( 1 + 13 T + 267 T^{2} + 2513 T^{3} + 31583 T^{4} + 238965 T^{5} + 2355489 T^{6} + 15309362 T^{7} + 131379734 T^{8} + 768853859 T^{9} + 6046087991 T^{10} + 32723836129 T^{11} + 239861350569 T^{12} + 1210781936773 T^{13} + 8277094459679 T^{14} + 38944754519927 T^{15} + 246226773653174 T^{16} + 1061611740225434 T^{17} + 6043540333409001 T^{18} + 22685396019087345 T^{19} + 110934638593186943 T^{20} + 326593852105028501 T^{21} + 1283892027435565683 T^{22} + 2312929083132985369 T^{23} + 6582952005840035281 T^{24} \))(\( 1 + 13 T + 267 T^{2} + 2513 T^{3} + 31583 T^{4} + 238965 T^{5} + 2355489 T^{6} + 15309362 T^{7} + 131379734 T^{8} + 768853859 T^{9} + 6046087991 T^{10} + 32723836129 T^{11} + 239861350569 T^{12} + 1210781936773 T^{13} + 8277094459679 T^{14} + 38944754519927 T^{15} + 246226773653174 T^{16} + 1061611740225434 T^{17} + 6043540333409001 T^{18} + 22685396019087345 T^{19} + 110934638593186943 T^{20} + 326593852105028501 T^{21} + 1283892027435565683 T^{22} + 2312929083132985369 T^{23} + 6582952005840035281 T^{24} \))(\( 1 + 19 T + 435 T^{2} + 6117 T^{3} + 83873 T^{4} + 934343 T^{5} + 9736417 T^{6} + 89608258 T^{7} + 769486826 T^{8} + 6007577417 T^{9} + 44012372877 T^{10} + 296078381605 T^{11} + 1877232834877 T^{12} + 10954900119385 T^{13} + 60252938468613 T^{14} + 304301818903301 T^{15} + 1442142199302986 T^{16} + 6213791189596906 T^{17} + 24980982225936553 T^{18} + 88698934876078619 T^{19} + 294602189238716033 T^{20} + 794975962326486009 T^{21} + 2091734202001764315 T^{22} + 3380434813809747847 T^{23} + 6582952005840035281 T^{24} \))(\( 1 - 11 T + 359 T^{2} - 3519 T^{3} + 62339 T^{4} - 540523 T^{5} + 6839425 T^{6} - 52371342 T^{7} + 525133134 T^{8} - 3545120461 T^{9} + 29642085735 T^{10} - 175713509903 T^{11} + 1259572750809 T^{12} - 6501399866411 T^{13} + 40580015371215 T^{14} - 179570986711033 T^{15} + 984184039550574 T^{16} - 3631636087680294 T^{17} + 17548093344874825 T^{18} - 51312863023560559 T^{19} + 218964456677981219 T^{20} - 457335362338875963 T^{21} + 1726281789698007791 T^{22} - 1957093839574064543 T^{23} + 6582952005840035281 T^{24} \))(\( 1 - 5 T + 119 T^{2} - 115 T^{3} + 7645 T^{4} - 1649 T^{5} + 440841 T^{6} + 321802 T^{7} + 19993330 T^{8} + 6656905 T^{9} + 950071077 T^{10} + 125428093 T^{11} + 34857558493 T^{12} + 4640839441 T^{13} + 1300647304413 T^{14} + 337192208965 T^{15} + 37470719346130 T^{16} + 22315024050514 T^{17} + 1131077395869969 T^{18} - 156542665392317 T^{19} + 26852905425226045 T^{20} - 14945600076433855 T^{21} + 572221540317724031 T^{22} - 889588108897302065 T^{23} + 6582952005840035281 T^{24} \))(\( 1 - 13 T + 281 T^{2} - 3111 T^{3} + 40264 T^{4} - 367589 T^{5} + 3638571 T^{6} - 28152253 T^{7} + 231032713 T^{8} - 1552251607 T^{9} + 11156663741 T^{10} - 67286788305 T^{11} + 447921138414 T^{12} - 2557243358182 T^{13} + 16700844235102 T^{14} - 94618004252734 T^{15} + 613204038488766 T^{16} - 3408277688013165 T^{17} + 20909384073496301 T^{18} - 107639268688988899 T^{19} + 592766733087017617 T^{20} - 2672546222813130649 T^{21} + 12780405879132786891 T^{22} - 47772505969532559353 T^{23} + \)\(19\!\cdots\!36\)\( T^{24} - \)\(55\!\cdots\!43\)\( T^{25} + \)\(18\!\cdots\!61\)\( T^{26} - \)\(31\!\cdots\!61\)\( T^{27} + \)\(90\!\cdots\!89\)\( T^{28} \))(\( 1 - 13 T + 281 T^{2} - 3111 T^{3} + 40264 T^{4} - 367589 T^{5} + 3638571 T^{6} - 28152253 T^{7} + 231032713 T^{8} - 1552251607 T^{9} + 11156663741 T^{10} - 67286788305 T^{11} + 447921138414 T^{12} - 2557243358182 T^{13} + 16700844235102 T^{14} - 94618004252734 T^{15} + 613204038488766 T^{16} - 3408277688013165 T^{17} + 20909384073496301 T^{18} - 107639268688988899 T^{19} + 592766733087017617 T^{20} - 2672546222813130649 T^{21} + 12780405879132786891 T^{22} - 47772505969532559353 T^{23} + \)\(19\!\cdots\!36\)\( T^{24} - \)\(55\!\cdots\!43\)\( T^{25} + \)\(18\!\cdots\!61\)\( T^{26} - \)\(31\!\cdots\!61\)\( T^{27} + \)\(90\!\cdots\!89\)\( T^{28} \))(\( 1 - 17 T + 483 T^{2} - 6261 T^{3} + 105177 T^{4} - 1126916 T^{5} + 14321748 T^{6} - 132506150 T^{7} + 1395476111 T^{8} - 11441164930 T^{9} + 104430953608 T^{10} - 770597570200 T^{11} + 6249885305799 T^{12} - 41874523865947 T^{13} + 306138212842601 T^{14} - 1869964669554675 T^{15} + 12422051133229152 T^{16} - 69188692773522975 T^{17} + 419103213381520769 T^{18} - 2121070257381813391 T^{19} + 11713291294601559639 T^{20} - 53436284772253281400 T^{21} + \)\(26\!\cdots\!72\)\( T^{22} - \)\(10\!\cdots\!90\)\( T^{23} + \)\(49\!\cdots\!31\)\( T^{24} - \)\(17\!\cdots\!50\)\( T^{25} + \)\(68\!\cdots\!52\)\( T^{26} - \)\(20\!\cdots\!08\)\( T^{27} + \)\(69\!\cdots\!37\)\( T^{28} - \)\(15\!\cdots\!17\)\( T^{29} + \)\(43\!\cdots\!87\)\( T^{30} - \)\(56\!\cdots\!81\)\( T^{31} + \)\(12\!\cdots\!41\)\( T^{32} \))(\( 1 - 17 T + 483 T^{2} - 6261 T^{3} + 105177 T^{4} - 1126916 T^{5} + 14321748 T^{6} - 132506150 T^{7} + 1395476111 T^{8} - 11441164930 T^{9} + 104430953608 T^{10} - 770597570200 T^{11} + 6249885305799 T^{12} - 41874523865947 T^{13} + 306138212842601 T^{14} - 1869964669554675 T^{15} + 12422051133229152 T^{16} - 69188692773522975 T^{17} + 419103213381520769 T^{18} - 2121070257381813391 T^{19} + 11713291294601559639 T^{20} - 53436284772253281400 T^{21} + \)\(26\!\cdots\!72\)\( T^{22} - \)\(10\!\cdots\!90\)\( T^{23} + \)\(49\!\cdots\!31\)\( T^{24} - \)\(17\!\cdots\!50\)\( T^{25} + \)\(68\!\cdots\!52\)\( T^{26} - \)\(20\!\cdots\!08\)\( T^{27} + \)\(69\!\cdots\!37\)\( T^{28} - \)\(15\!\cdots\!17\)\( T^{29} + \)\(43\!\cdots\!87\)\( T^{30} - \)\(56\!\cdots\!81\)\( T^{31} + \)\(12\!\cdots\!41\)\( T^{32} \))
$41$ (\( 1 + 9 T + 41 T^{2} \))(\( 1 - 9 T + 41 T^{2} \))(\( 1 + 8 T + 71 T^{2} + 328 T^{3} + 1681 T^{4} \))(\( 1 - 8 T + 71 T^{2} - 328 T^{3} + 1681 T^{4} \))(\( 1 - 7 T + 221 T^{2} - 1651 T^{3} + 22651 T^{4} - 175892 T^{5} + 1468078 T^{6} - 11131140 T^{7} + 69043319 T^{8} - 456376740 T^{9} + 2467839118 T^{10} - 12122652532 T^{11} + 64006312411 T^{12} - 191278587851 T^{13} + 1049773037261 T^{14} - 1363279917167 T^{15} + 7984925229121 T^{16} \))(\( 1 + 7 T + 221 T^{2} + 1651 T^{3} + 22651 T^{4} + 175892 T^{5} + 1468078 T^{6} + 11131140 T^{7} + 69043319 T^{8} + 456376740 T^{9} + 2467839118 T^{10} + 12122652532 T^{11} + 64006312411 T^{12} + 191278587851 T^{13} + 1049773037261 T^{14} + 1363279917167 T^{15} + 7984925229121 T^{16} \))(\( 1 + 219 T^{2} + 187 T^{3} + 24091 T^{4} + 33174 T^{5} + 1783023 T^{6} + 2683062 T^{7} + 97188163 T^{8} + 134191801 T^{9} + 3984714683 T^{10} + 4510227222 T^{11} + 122887728183 T^{12} + 93741795414 T^{13} + 2791091738291 T^{14} + 888269493067 T^{15} + 42651185979939 T^{16} + 327381934393961 T^{18} \))(\( 1 + 219 T^{2} - 187 T^{3} + 24091 T^{4} - 33174 T^{5} + 1783023 T^{6} - 2683062 T^{7} + 97188163 T^{8} - 134191801 T^{9} + 3984714683 T^{10} - 4510227222 T^{11} + 122887728183 T^{12} - 93741795414 T^{13} + 2791091738291 T^{14} - 888269493067 T^{15} + 42651185979939 T^{16} + 327381934393961 T^{18} \))(\( 1 + 22 T + 570 T^{2} + 8654 T^{3} + 134326 T^{4} + 1580751 T^{5} + 18404440 T^{6} + 177542004 T^{7} + 1677920778 T^{8} + 13669761819 T^{9} + 108769892738 T^{10} + 759716186158 T^{11} + 5178296674430 T^{12} + 31148363632478 T^{13} + 182842189692578 T^{14} + 942133654327299 T^{15} + 4741403095562058 T^{16} + 20569342101366804 T^{17} + 87423008497230040 T^{18} + 307858013191664631 T^{19} + 1072583066326907446 T^{20} + 2833163260245338494 T^{21} + 7650915806786868570 T^{22} + 12107238697757465702 T^{23} + 22563490300366186081 T^{24} \))(\( 1 + 8 T + 280 T^{2} + 1912 T^{3} + 37858 T^{4} + 239703 T^{5} + 3422732 T^{6} + 20732444 T^{7} + 233518280 T^{8} + 1353253845 T^{9} + 12753687572 T^{10} + 69492949936 T^{11} + 573947757762 T^{12} + 2849210947376 T^{13} + 21438948808532 T^{14} + 93267608251245 T^{15} + 659866848411080 T^{16} + 2401982199285244 T^{17} + 16258333789006412 T^{18} + 46683183712097343 T^{19} + 302293299324062818 T^{20} + 625954258561253432 T^{21} + 3758344606842672280 T^{22} + 4402632253729987528 T^{23} + 22563490300366186081 T^{24} \))(\( 1 - 30 T + 630 T^{2} - 9922 T^{3} + 132934 T^{4} - 1536253 T^{5} + 15942916 T^{6} - 149623872 T^{7} + 1294936134 T^{8} - 10367083477 T^{9} + 77655276302 T^{10} - 544482255134 T^{11} + 3596802825854 T^{12} - 22323772460494 T^{13} + 130538519463662 T^{14} - 714509760318317 T^{15} + 3659180024947974 T^{16} - 17334853388830272 T^{17} + 75730512905506756 T^{18} - 299191837512507893 T^{19} + 1061468050407971014 T^{20} - 3248283553056881042 T^{21} + 8456275365396012630 T^{22} - 16509870951487453230 T^{23} + 22563490300366186081 T^{24} \))(\( 1 - 20 T + 468 T^{2} - 6832 T^{3} + 98146 T^{4} - 1131373 T^{5} + 12475664 T^{6} - 119187864 T^{7} + 1085210964 T^{8} - 8834724827 T^{9} + 68563015800 T^{10} - 482456685988 T^{11} + 3237627435202 T^{12} - 19780724125508 T^{13} + 115254429559800 T^{14} - 608898069801667 T^{15} + 3066546818843604 T^{16} - 13808653128344664 T^{17} + 59260704475691024 T^{18} - 220339727103568613 T^{19} + 783688471537309666 T^{20} - 2236673375779541552 T^{21} + 6281804557151323668 T^{22} - 11006580634324968820 T^{23} + 22563490300366186081 T^{24} \))(\( 1 + 20 T + 468 T^{2} + 6832 T^{3} + 98146 T^{4} + 1131373 T^{5} + 12475664 T^{6} + 119187864 T^{7} + 1085210964 T^{8} + 8834724827 T^{9} + 68563015800 T^{10} + 482456685988 T^{11} + 3237627435202 T^{12} + 19780724125508 T^{13} + 115254429559800 T^{14} + 608898069801667 T^{15} + 3066546818843604 T^{16} + 13808653128344664 T^{17} + 59260704475691024 T^{18} + 220339727103568613 T^{19} + 783688471537309666 T^{20} + 2236673375779541552 T^{21} + 6281804557151323668 T^{22} + 11006580634324968820 T^{23} + 22563490300366186081 T^{24} \))(\( 1 + 30 T + 630 T^{2} + 9922 T^{3} + 132934 T^{4} + 1536253 T^{5} + 15942916 T^{6} + 149623872 T^{7} + 1294936134 T^{8} + 10367083477 T^{9} + 77655276302 T^{10} + 544482255134 T^{11} + 3596802825854 T^{12} + 22323772460494 T^{13} + 130538519463662 T^{14} + 714509760318317 T^{15} + 3659180024947974 T^{16} + 17334853388830272 T^{17} + 75730512905506756 T^{18} + 299191837512507893 T^{19} + 1061468050407971014 T^{20} + 3248283553056881042 T^{21} + 8456275365396012630 T^{22} + 16509870951487453230 T^{23} + 22563490300366186081 T^{24} \))(\( 1 - 8 T + 280 T^{2} - 1912 T^{3} + 37858 T^{4} - 239703 T^{5} + 3422732 T^{6} - 20732444 T^{7} + 233518280 T^{8} - 1353253845 T^{9} + 12753687572 T^{10} - 69492949936 T^{11} + 573947757762 T^{12} - 2849210947376 T^{13} + 21438948808532 T^{14} - 93267608251245 T^{15} + 659866848411080 T^{16} - 2401982199285244 T^{17} + 16258333789006412 T^{18} - 46683183712097343 T^{19} + 302293299324062818 T^{20} - 625954258561253432 T^{21} + 3758344606842672280 T^{22} - 4402632253729987528 T^{23} + 22563490300366186081 T^{24} \))(\( 1 - 22 T + 570 T^{2} - 8654 T^{3} + 134326 T^{4} - 1580751 T^{5} + 18404440 T^{6} - 177542004 T^{7} + 1677920778 T^{8} - 13669761819 T^{9} + 108769892738 T^{10} - 759716186158 T^{11} + 5178296674430 T^{12} - 31148363632478 T^{13} + 182842189692578 T^{14} - 942133654327299 T^{15} + 4741403095562058 T^{16} - 20569342101366804 T^{17} + 87423008497230040 T^{18} - 307858013191664631 T^{19} + 1072583066326907446 T^{20} - 2833163260245338494 T^{21} + 7650915806786868570 T^{22} - 12107238697757465702 T^{23} + 22563490300366186081 T^{24} \))(\( 1 - 2 T + 310 T^{2} - 1067 T^{3} + 48772 T^{4} - 213511 T^{5} + 5293181 T^{6} - 25200647 T^{7} + 441132414 T^{8} - 2099126214 T^{9} + 29405656103 T^{10} - 134309132098 T^{11} + 1599620490390 T^{12} - 6841742496901 T^{13} + 71944474959847 T^{14} - 280511442372941 T^{15} + 2688962044345590 T^{16} - 9256719693326258 T^{17} + 83093356195269383 T^{18} - 243196788573553014 T^{19} + 2095424950583967774 T^{20} - 4907933707816401007 T^{21} + 42265654509203923901 T^{22} - 69899644194389007071 T^{23} + \)\(65\!\cdots\!72\)\( T^{24} - \)\(58\!\cdots\!47\)\( T^{25} + \)\(69\!\cdots\!10\)\( T^{26} - \)\(18\!\cdots\!42\)\( T^{27} + \)\(37\!\cdots\!61\)\( T^{28} \))(\( 1 + 2 T + 310 T^{2} + 1067 T^{3} + 48772 T^{4} + 213511 T^{5} + 5293181 T^{6} + 25200647 T^{7} + 441132414 T^{8} + 2099126214 T^{9} + 29405656103 T^{10} + 134309132098 T^{11} + 1599620490390 T^{12} + 6841742496901 T^{13} + 71944474959847 T^{14} + 280511442372941 T^{15} + 2688962044345590 T^{16} + 9256719693326258 T^{17} + 83093356195269383 T^{18} + 243196788573553014 T^{19} + 2095424950583967774 T^{20} + 4907933707816401007 T^{21} + 42265654509203923901 T^{22} + 69899644194389007071 T^{23} + \)\(65\!\cdots\!72\)\( T^{24} + \)\(58\!\cdots\!47\)\( T^{25} + \)\(69\!\cdots\!10\)\( T^{26} + \)\(18\!\cdots\!42\)\( T^{27} + \)\(37\!\cdots\!61\)\( T^{28} \))(\( 1 - 4 T + 321 T^{2} - 653 T^{3} + 49145 T^{4} - 23684 T^{5} + 4950641 T^{6} + 4328241 T^{7} + 371007733 T^{8} + 804399872 T^{9} + 22106598940 T^{10} + 75786353047 T^{11} + 1107775617097 T^{12} + 5037504154475 T^{13} + 49394198868106 T^{14} + 258965630567270 T^{15} + 2065808864035479 T^{16} + 10617590853258070 T^{17} + 83031648297286186 T^{18} + 347189823830571475 T^{19} + 3130309135543635817 T^{20} + 8780318951670194447 T^{21} + \)\(10\!\cdots\!40\)\( T^{22} + \)\(15\!\cdots\!32\)\( T^{23} + \)\(29\!\cdots\!93\)\( T^{24} + \)\(14\!\cdots\!01\)\( T^{25} + \)\(66\!\cdots\!41\)\( T^{26} - \)\(13\!\cdots\!44\)\( T^{27} + \)\(11\!\cdots\!45\)\( T^{28} - \)\(60\!\cdots\!13\)\( T^{29} + \)\(12\!\cdots\!81\)\( T^{30} - \)\(62\!\cdots\!04\)\( T^{31} + \)\(63\!\cdots\!41\)\( T^{32} \))(\( 1 + 4 T + 321 T^{2} + 653 T^{3} + 49145 T^{4} + 23684 T^{5} + 4950641 T^{6} - 4328241 T^{7} + 371007733 T^{8} - 804399872 T^{9} + 22106598940 T^{10} - 75786353047 T^{11} + 1107775617097 T^{12} - 5037504154475 T^{13} + 49394198868106 T^{14} - 258965630567270 T^{15} + 2065808864035479 T^{16} - 10617590853258070 T^{17} + 83031648297286186 T^{18} - 347189823830571475 T^{19} + 3130309135543635817 T^{20} - 8780318951670194447 T^{21} + \)\(10\!\cdots\!40\)\( T^{22} - \)\(15\!\cdots\!32\)\( T^{23} + \)\(29\!\cdots\!93\)\( T^{24} - \)\(14\!\cdots\!01\)\( T^{25} + \)\(66\!\cdots\!41\)\( T^{26} + \)\(13\!\cdots\!44\)\( T^{27} + \)\(11\!\cdots\!45\)\( T^{28} + \)\(60\!\cdots\!13\)\( T^{29} + \)\(12\!\cdots\!81\)\( T^{30} + \)\(62\!\cdots\!04\)\( T^{31} + \)\(63\!\cdots\!41\)\( T^{32} \))
$43$ (\( 1 + 4 T + 43 T^{2} \))(\( 1 + 4 T + 43 T^{2} \))(\( 1 - 4 T + 42 T^{2} - 172 T^{3} + 1849 T^{4} \))(\( 1 - 4 T + 42 T^{2} - 172 T^{3} + 1849 T^{4} \))(\( 1 + 12 T + 268 T^{2} + 2841 T^{3} + 34765 T^{4} + 312940 T^{5} + 2760526 T^{6} + 20722959 T^{7} + 144745419 T^{8} + 891087237 T^{9} + 5104212574 T^{10} + 24880920580 T^{11} + 118854616765 T^{12} + 417650986563 T^{13} + 1694125297132 T^{14} + 3261823333284 T^{15} + 11688200277601 T^{16} \))(\( 1 + 12 T + 268 T^{2} + 2841 T^{3} + 34765 T^{4} + 312940 T^{5} + 2760526 T^{6} + 20722959 T^{7} + 144745419 T^{8} + 891087237 T^{9} + 5104212574 T^{10} + 24880920580 T^{11} + 118854616765 T^{12} + 417650986563 T^{13} + 1694125297132 T^{14} + 3261823333284 T^{15} + 11688200277601 T^{16} \))(\( 1 + 16 T + 299 T^{2} + 2907 T^{3} + 31033 T^{4} + 203017 T^{5} + 1564829 T^{6} + 6998481 T^{7} + 50274985 T^{8} + 203934498 T^{9} + 2161824355 T^{10} + 12940191369 T^{11} + 124414859303 T^{12} + 694074722617 T^{13} + 4562113011619 T^{14} + 18376202383443 T^{15} + 81273764720993 T^{16} + 187011204441616 T^{17} + 502592611936843 T^{18} \))(\( 1 + 16 T + 299 T^{2} + 2907 T^{3} + 31033 T^{4} + 203017 T^{5} + 1564829 T^{6} + 6998481 T^{7} + 50274985 T^{8} + 203934498 T^{9} + 2161824355 T^{10} + 12940191369 T^{11} + 124414859303 T^{12} + 694074722617 T^{13} + 4562113011619 T^{14} + 18376202383443 T^{15} + 81273764720993 T^{16} + 187011204441616 T^{17} + 502592611936843 T^{18} \))(\( 1 - 9 T + 340 T^{2} - 3067 T^{3} + 59853 T^{4} - 506558 T^{5} + 6943178 T^{6} - 53812233 T^{7} + 581760563 T^{8} - 4070801777 T^{9} + 36810465985 T^{10} - 229950733232 T^{11} + 1796356034379 T^{12} - 9887881528976 T^{13} + 68062551606265 T^{14} - 323657236883939 T^{15} + 1988923594544963 T^{16} - 7910852587683219 T^{17} + 43890348851829722 T^{18} - 137691892005139706 T^{19} + 699573851215252653 T^{20} - 1541451540810297481 T^{21} + 7347903986516644660 T^{22} - 8363643655241004363 T^{23} + 39959630797262576401 T^{24} \))(\( 1 - 13 T + 314 T^{2} - 3115 T^{3} + 43775 T^{4} - 356232 T^{5} + 3818346 T^{6} - 27341201 T^{7} + 251135363 T^{8} - 1668841681 T^{9} + 13812272101 T^{10} - 85899802546 T^{11} + 646688616071 T^{12} - 3693691509478 T^{13} + 25538891114749 T^{14} - 132684595531267 T^{15} + 858581830159763 T^{16} - 4019387388760043 T^{17} + 24137151312696954 T^{18} - 96830487471868824 T^{19} + 511650967151983775 T^{20} - 1565575986183265945 T^{21} + 6786005446371254186 T^{22} - 12080818613125895191 T^{23} + 39959630797262576401 T^{24} \))(\( 1 + 15 T + 246 T^{2} + 2619 T^{3} + 30033 T^{4} + 285144 T^{5} + 2655040 T^{6} + 21909881 T^{7} + 177479979 T^{8} + 1346416517 T^{9} + 9873603109 T^{10} + 68255483876 T^{11} + 456026671185 T^{12} + 2934985806668 T^{13} + 18256292148541 T^{14} + 107049538017119 T^{15} + 606768729685179 T^{16} + 3220937492125283 T^{17} + 16783471749616960 T^{18} + 77507446045494408 T^{19} + 351031718937190833 T^{20} + 1316290050662591817 T^{21} + 5316424649067925254 T^{22} + 13939406092068340605 T^{23} + 39959630797262576401 T^{24} \))(\( 1 + 11 T + 328 T^{2} + 2903 T^{3} + 49571 T^{4} + 361934 T^{5} + 4671520 T^{6} + 29010177 T^{7} + 318352639 T^{8} + 1738315065 T^{9} + 17316356409 T^{10} + 85944319606 T^{11} + 799628157817 T^{12} + 3695605743058 T^{13} + 32017943000241 T^{14} + 138208215872955 T^{15} + 1088384320565839 T^{16} + 4264740951924411 T^{17} + 29530373910664480 T^{18} + 98380397192400938 T^{19} + 579395775960959171 T^{20} + 1459026352452655229 T^{21} + 7088566198757233672 T^{22} + 10222231134183449777 T^{23} + 39959630797262576401 T^{24} \))(\( 1 + 11 T + 328 T^{2} + 2903 T^{3} + 49571 T^{4} + 361934 T^{5} + 4671520 T^{6} + 29010177 T^{7} + 318352639 T^{8} + 1738315065 T^{9} + 17316356409 T^{10} + 85944319606 T^{11} + 799628157817 T^{12} + 3695605743058 T^{13} + 32017943000241 T^{14} + 138208215872955 T^{15} + 1088384320565839 T^{16} + 4264740951924411 T^{17} + 29530373910664480 T^{18} + 98380397192400938 T^{19} + 579395775960959171 T^{20} + 1459026352452655229 T^{21} + 7088566198757233672 T^{22} + 10222231134183449777 T^{23} + 39959630797262576401 T^{24} \))(\( 1 + 15 T + 246 T^{2} + 2619 T^{3} + 30033 T^{4} + 285144 T^{5} + 2655040 T^{6} + 21909881 T^{7} + 177479979 T^{8} + 1346416517 T^{9} + 9873603109 T^{10} + 68255483876 T^{11} + 456026671185 T^{12} + 2934985806668 T^{13} + 18256292148541 T^{14} + 107049538017119 T^{15} + 606768729685179 T^{16} + 3220937492125283 T^{17} + 16783471749616960 T^{18} + 77507446045494408 T^{19} + 351031718937190833 T^{20} + 1316290050662591817 T^{21} + 5316424649067925254 T^{22} + 13939406092068340605 T^{23} + 39959630797262576401 T^{24} \))(\( 1 - 13 T + 314 T^{2} - 3115 T^{3} + 43775 T^{4} - 356232 T^{5} + 3818346 T^{6} - 27341201 T^{7} + 251135363 T^{8} - 1668841681 T^{9} + 13812272101 T^{10} - 85899802546 T^{11} + 646688616071 T^{12} - 3693691509478 T^{13} + 25538891114749 T^{14} - 132684595531267 T^{15} + 858581830159763 T^{16} - 4019387388760043 T^{17} + 24137151312696954 T^{18} - 96830487471868824 T^{19} + 511650967151983775 T^{20} - 1565575986183265945 T^{21} + 6786005446371254186 T^{22} - 12080818613125895191 T^{23} + 39959630797262576401 T^{24} \))(\( 1 - 9 T + 340 T^{2} - 3067 T^{3} + 59853 T^{4} - 506558 T^{5} + 6943178 T^{6} - 53812233 T^{7} + 581760563 T^{8} - 4070801777 T^{9} + 36810465985 T^{10} - 229950733232 T^{11} + 1796356034379 T^{12} - 9887881528976 T^{13} + 68062551606265 T^{14} - 323657236883939 T^{15} + 1988923594544963 T^{16} - 7910852587683219 T^{17} + 43890348851829722 T^{18} - 137691892005139706 T^{19} + 699573851215252653 T^{20} - 1541451540810297481 T^{21} + 7347903986516644660 T^{22} - 8363643655241004363 T^{23} + 39959630797262576401 T^{24} \))(\( 1 - 12 T + 313 T^{2} - 2941 T^{3} + 46354 T^{4} - 364249 T^{5} + 4500456 T^{6} - 30371096 T^{7} + 323732139 T^{8} - 1907284425 T^{9} + 18605092085 T^{10} - 97945613665 T^{11} + 915170309538 T^{12} - 4461374153680 T^{13} + 40823650298033 T^{14} - 191839088608240 T^{15} + 1692149902335762 T^{16} - 7787361905663155 T^{17} + 63607107425290085 T^{18} - 280386913677400275 T^{19} + 2046428381248331811 T^{20} - 8255429132517363272 T^{21} + 52602231068531086056 T^{22} - \)\(18\!\cdots\!07\)\( T^{23} + \)\(10\!\cdots\!46\)\( T^{24} - \)\(27\!\cdots\!87\)\( T^{25} + \)\(12\!\cdots\!13\)\( T^{26} - \)\(20\!\cdots\!16\)\( T^{27} + \)\(73\!\cdots\!49\)\( T^{28} \))(\( 1 - 12 T + 313 T^{2} - 2941 T^{3} + 46354 T^{4} - 364249 T^{5} + 4500456 T^{6} - 30371096 T^{7} + 323732139 T^{8} - 1907284425 T^{9} + 18605092085 T^{10} - 97945613665 T^{11} + 915170309538 T^{12} - 4461374153680 T^{13} + 40823650298033 T^{14} - 191839088608240 T^{15} + 1692149902335762 T^{16} - 7787361905663155 T^{17} + 63607107425290085 T^{18} - 280386913677400275 T^{19} + 2046428381248331811 T^{20} - 8255429132517363272 T^{21} + 52602231068531086056 T^{22} - \)\(18\!\cdots\!07\)\( T^{23} + \)\(10\!\cdots\!46\)\( T^{24} - \)\(27\!\cdots\!87\)\( T^{25} + \)\(12\!\cdots\!13\)\( T^{26} - \)\(20\!\cdots\!16\)\( T^{27} + \)\(73\!\cdots\!49\)\( T^{28} \))(\( 1 - 16 T + 487 T^{2} - 6403 T^{3} + 112261 T^{4} - 1259217 T^{5} + 16530621 T^{6} - 162556277 T^{7} + 1763434449 T^{8} - 15506840106 T^{9} + 146014228119 T^{10} - 1164224623425 T^{11} + 9783076145087 T^{12} - 71359400900301 T^{13} + 543949869004930 T^{14} - 3646005619767259 T^{15} + 25444894236690094 T^{16} - 156778241649992137 T^{17} + 1005763307790115570 T^{18} - 5673571887380231607 T^{19} + 33446390507899580687 T^{20} - \)\(17\!\cdots\!75\)\( T^{21} + \)\(92\!\cdots\!31\)\( T^{22} - \)\(42\!\cdots\!42\)\( T^{23} + \)\(20\!\cdots\!49\)\( T^{24} - \)\(81\!\cdots\!11\)\( T^{25} + \)\(35\!\cdots\!29\)\( T^{26} - \)\(11\!\cdots\!19\)\( T^{27} + \)\(44\!\cdots\!61\)\( T^{28} - \)\(11\!\cdots\!29\)\( T^{29} + \)\(35\!\cdots\!63\)\( T^{30} - \)\(50\!\cdots\!12\)\( T^{31} + \)\(13\!\cdots\!01\)\( T^{32} \))(\( 1 - 16 T + 487 T^{2} - 6403 T^{3} + 112261 T^{4} - 1259217 T^{5} + 16530621 T^{6} - 162556277 T^{7} + 1763434449 T^{8} - 15506840106 T^{9} + 146014228119 T^{10} - 1164224623425 T^{11} + 9783076145087 T^{12} - 71359400900301 T^{13} + 543949869004930 T^{14} - 3646005619767259 T^{15} + 25444894236690094 T^{16} - 156778241649992137 T^{17} + 1005763307790115570 T^{18} - 5673571887380231607 T^{19} + 33446390507899580687 T^{20} - \)\(17\!\cdots\!75\)\( T^{21} + \)\(92\!\cdots\!31\)\( T^{22} - \)\(42\!\cdots\!42\)\( T^{23} + \)\(20\!\cdots\!49\)\( T^{24} - \)\(81\!\cdots\!11\)\( T^{25} + \)\(35\!\cdots\!29\)\( T^{26} - \)\(11\!\cdots\!19\)\( T^{27} + \)\(44\!\cdots\!61\)\( T^{28} - \)\(11\!\cdots\!29\)\( T^{29} + \)\(35\!\cdots\!63\)\( T^{30} - \)\(50\!\cdots\!12\)\( T^{31} + \)\(13\!\cdots\!01\)\( T^{32} \))
$47$ (\( 1 + 6 T + 47 T^{2} \))(\( 1 - 6 T + 47 T^{2} \))(\( 1 - 8 T + 98 T^{2} - 376 T^{3} + 2209 T^{4} \))(\( 1 + 8 T + 98 T^{2} + 376 T^{3} + 2209 T^{4} \))(\( 1 - 25 T + 534 T^{2} - 7809 T^{3} + 99499 T^{4} - 1049944 T^{5} + 9811105 T^{6} - 80167517 T^{7} + 583909437 T^{8} - 3767873299 T^{9} + 21672730945 T^{10} - 109008335912 T^{11} + 485523379819 T^{12} - 1790955159663 T^{13} + 5756100985686 T^{14} - 12665578011575 T^{15} + 23811286661761 T^{16} \))(\( 1 + 25 T + 534 T^{2} + 7809 T^{3} + 99499 T^{4} + 1049944 T^{5} + 9811105 T^{6} + 80167517 T^{7} + 583909437 T^{8} + 3767873299 T^{9} + 21672730945 T^{10} + 109008335912 T^{11} + 485523379819 T^{12} + 1790955159663 T^{13} + 5756100985686 T^{14} + 12665578011575 T^{15} + 23811286661761 T^{16} \))(\( 1 - 7 T + 233 T^{2} - 1150 T^{3} + 24491 T^{4} - 90119 T^{5} + 1667498 T^{6} - 4659039 T^{7} + 87538662 T^{8} - 208700788 T^{9} + 4114317114 T^{10} - 10291817151 T^{11} + 173124644854 T^{12} - 439751972039 T^{13} + 5616888566437 T^{14} - 12396097628350 T^{15} + 118043187067879 T^{16} - 166679006632327 T^{17} + 1119130473102767 T^{18} \))(\( 1 + 7 T + 233 T^{2} + 1150 T^{3} + 24491 T^{4} + 90119 T^{5} + 1667498 T^{6} + 4659039 T^{7} + 87538662 T^{8} + 208700788 T^{9} + 4114317114 T^{10} + 10291817151 T^{11} + 173124644854 T^{12} + 439751972039 T^{13} + 5616888566437 T^{14} + 12396097628350 T^{15} + 118043187067879 T^{16} + 166679006632327 T^{17} + 1119130473102767 T^{18} \))(\( 1 + 15 T + 362 T^{2} + 4070 T^{3} + 57742 T^{4} + 536591 T^{5} + 5843321 T^{6} + 47584927 T^{7} + 441055404 T^{8} + 3260908938 T^{9} + 26980598283 T^{10} + 183650618078 T^{11} + 1382094670383 T^{12} + 8631579049666 T^{13} + 59600141607147 T^{14} + 338557348669974 T^{15} + 2152209674846124 T^{16} + 10913365415909489 T^{17} + 62986415295467609 T^{18} + 271849406832361633 T^{19} + 1374911314423403662 T^{20} + 4554861025528261690 T^{21} + 19040885869370477738 T^{22} + 37082388226260184545 T^{23} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 + 11 T + 380 T^{2} + 3348 T^{3} + 67142 T^{4} + 501867 T^{5} + 7617229 T^{6} + 49927967 T^{7} + 632089918 T^{8} + 3697798992 T^{9} + 40883587123 T^{10} + 215405763898 T^{11} + 2129597328809 T^{12} + 10124070903206 T^{13} + 90311843954707 T^{14} + 383916584746416 T^{15} + 3084397163156158 T^{16} + 11450729941110769 T^{17} + 82107751601303341 T^{18} + 254257425597404421 T^{19} + 1598737409043957062 T^{20} + 3746848823948063916 T^{21} + 19987670249615418620 T^{22} + 27193751365924135333 T^{23} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 + T + 258 T^{2} - 686 T^{3} + 32746 T^{4} - 173833 T^{5} + 3159377 T^{6} - 19666499 T^{7} + 250177506 T^{8} - 1522093066 T^{9} + 16078008221 T^{10} - 89911618542 T^{11} + 839979747933 T^{12} - 4225846071474 T^{13} + 35516320160189 T^{14} - 158028268391318 T^{15} + 1220786422655586 T^{16} - 4510413350820493 T^{17} + 34055604988490033 T^{18} - 88067816899444679 T^{19} + 779724393026025706 T^{20} - 767723504548498162 T^{21} + 13570576116844152642 T^{22} + 2472159215084012303 T^{23} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 - 15 T + 516 T^{2} - 6208 T^{3} + 121430 T^{4} - 1225645 T^{5} + 17536021 T^{6} - 151949323 T^{7} + 1743788176 T^{8} - 13120541600 T^{9} + 126243197873 T^{10} - 827657632458 T^{11} + 6834095624191 T^{12} - 38899908725526 T^{13} + 278871224101457 T^{14} - 1362213990536800 T^{15} + 8509130030451856 T^{16} - 34848818547080261 T^{17} + 189024546372865909 T^{18} - 620940094479873635 T^{19} + 2891404539337638230 T^{20} - 6947561977021977536 T^{21} + 27141152233688305284 T^{22} - 37082388226260184545 T^{23} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 + 15 T + 516 T^{2} + 6208 T^{3} + 121430 T^{4} + 1225645 T^{5} + 17536021 T^{6} + 151949323 T^{7} + 1743788176 T^{8} + 13120541600 T^{9} + 126243197873 T^{10} + 827657632458 T^{11} + 6834095624191 T^{12} + 38899908725526 T^{13} + 278871224101457 T^{14} + 1362213990536800 T^{15} + 8509130030451856 T^{16} + 34848818547080261 T^{17} + 189024546372865909 T^{18} + 620940094479873635 T^{19} + 2891404539337638230 T^{20} + 6947561977021977536 T^{21} + 27141152233688305284 T^{22} + 37082388226260184545 T^{23} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 - T + 258 T^{2} + 686 T^{3} + 32746 T^{4} + 173833 T^{5} + 3159377 T^{6} + 19666499 T^{7} + 250177506 T^{8} + 1522093066 T^{9} + 16078008221 T^{10} + 89911618542 T^{11} + 839979747933 T^{12} + 4225846071474 T^{13} + 35516320160189 T^{14} + 158028268391318 T^{15} + 1220786422655586 T^{16} + 4510413350820493 T^{17} + 34055604988490033 T^{18} + 88067816899444679 T^{19} + 779724393026025706 T^{20} + 767723504548498162 T^{21} + 13570576116844152642 T^{22} - 2472159215084012303 T^{23} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 - 11 T + 380 T^{2} - 3348 T^{3} + 67142 T^{4} - 501867 T^{5} + 7617229 T^{6} - 49927967 T^{7} + 632089918 T^{8} - 3697798992 T^{9} + 40883587123 T^{10} - 215405763898 T^{11} + 2129597328809 T^{12} - 10124070903206 T^{13} + 90311843954707 T^{14} - 383916584746416 T^{15} + 3084397163156158 T^{16} - 11450729941110769 T^{17} + 82107751601303341 T^{18} - 254257425597404421 T^{19} + 1598737409043957062 T^{20} - 3746848823948063916 T^{21} + 19987670249615418620 T^{22} - 27193751365924135333 T^{23} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 - 15 T + 362 T^{2} - 4070 T^{3} + 57742 T^{4} - 536591 T^{5} + 5843321 T^{6} - 47584927 T^{7} + 441055404 T^{8} - 3260908938 T^{9} + 26980598283 T^{10} - 183650618078 T^{11} + 1382094670383 T^{12} - 8631579049666 T^{13} + 59600141607147 T^{14} - 338557348669974 T^{15} + 2152209674846124 T^{16} - 10913365415909489 T^{17} + 62986415295467609 T^{18} - 271849406832361633 T^{19} + 1374911314423403662 T^{20} - 4554861025528261690 T^{21} + 19040885869370477738 T^{22} - 37082388226260184545 T^{23} + \)\(11\!\cdots\!41\)\( T^{24} \))(\( 1 + 21 T + 642 T^{2} + 9579 T^{3} + 173282 T^{4} + 2058501 T^{5} + 28081277 T^{6} + 281260080 T^{7} + 3164831869 T^{8} + 27593886580 T^{9} + 267463992132 T^{10} + 2066070951610 T^{11} + 17645268146416 T^{12} + 121770185396311 T^{13} + 926763873038362 T^{14} + 5723198713626617 T^{15} + 38978397335432944 T^{16} + 214505684409005030 T^{17} + 1305138960590669892 T^{18} + 6328520110847306060 T^{19} + 34114404196032519901 T^{20} + \)\(14\!\cdots\!40\)\( T^{21} + \)\(66\!\cdots\!97\)\( T^{22} + \)\(23\!\cdots\!67\)\( T^{23} + \)\(91\!\cdots\!18\)\( T^{24} + \)\(23\!\cdots\!37\)\( T^{25} + \)\(74\!\cdots\!22\)\( T^{26} + \)\(11\!\cdots\!67\)\( T^{27} + \)\(25\!\cdots\!69\)\( T^{28} \))(\( 1 - 21 T + 642 T^{2} - 9579 T^{3} + 173282 T^{4} - 2058501 T^{5} + 28081277 T^{6} - 281260080 T^{7} + 3164831869 T^{8} - 27593886580 T^{9} + 267463992132 T^{10} - 2066070951610 T^{11} + 17645268146416 T^{12} - 121770185396311 T^{13} + 926763873038362 T^{14} - 5723198713626617 T^{15} + 38978397335432944 T^{16} - 214505684409005030 T^{17} + 1305138960590669892 T^{18} - 6328520110847306060 T^{19} + 34114404196032519901 T^{20} - \)\(14\!\cdots\!40\)\( T^{21} + \)\(66\!\cdots\!97\)\( T^{22} - \)\(23\!\cdots\!67\)\( T^{23} + \)\(91\!\cdots\!18\)\( T^{24} - \)\(23\!\cdots\!37\)\( T^{25} + \)\(74\!\cdots\!22\)\( T^{26} - \)\(11\!\cdots\!67\)\( T^{27} + \)\(25\!\cdots\!69\)\( T^{28} \))(\( 1 + 25 T + 546 T^{2} + 8571 T^{3} + 120717 T^{4} + 1460380 T^{5} + 16368393 T^{6} + 168330661 T^{7} + 1638532375 T^{8} + 15075498317 T^{9} + 132745613029 T^{10} + 1118441523566 T^{11} + 9048628100263 T^{12} + 70411098454645 T^{13} + 527332944636048 T^{14} + 3811977322200313 T^{15} + 26576590641469672 T^{16} + 179162934143414711 T^{17} + 1164878474701030032 T^{18} + 7310291474856607835 T^{19} + 44154418616919456103 T^{20} + \)\(25\!\cdots\!62\)\( T^{21} + \)\(14\!\cdots\!41\)\( T^{22} + \)\(76\!\cdots\!71\)\( T^{23} + \)\(39\!\cdots\!75\)\( T^{24} + \)\(18\!\cdots\!87\)\( T^{25} + \)\(86\!\cdots\!57\)\( T^{26} + \)\(36\!\cdots\!40\)\( T^{27} + \)\(14\!\cdots\!97\)\( T^{28} + \)\(46\!\cdots\!17\)\( T^{29} + \)\(14\!\cdots\!74\)\( T^{30} + \)\(30\!\cdots\!75\)\( T^{31} + \)\(56\!\cdots\!21\)\( T^{32} \))(\( 1 - 25 T + 546 T^{2} - 8571 T^{3} + 120717 T^{4} - 1460380 T^{5} + 16368393 T^{6} - 168330661 T^{7} + 1638532375 T^{8} - 15075498317 T^{9} + 132745613029 T^{10} - 1118441523566 T^{11} + 9048628100263 T^{12} - 70411098454645 T^{13} + 527332944636048 T^{14} - 3811977322200313 T^{15} + 26576590641469672 T^{16} - 179162934143414711 T^{17} + 1164878474701030032 T^{18} - 7310291474856607835 T^{19} + 44154418616919456103 T^{20} - \)\(25\!\cdots\!62\)\( T^{21} + \)\(14\!\cdots\!41\)\( T^{22} - \)\(76\!\cdots\!71\)\( T^{23} + \)\(39\!\cdots\!75\)\( T^{24} - \)\(18\!\cdots\!87\)\( T^{25} + \)\(86\!\cdots\!57\)\( T^{26} - \)\(36\!\cdots\!40\)\( T^{27} + \)\(14\!\cdots\!97\)\( T^{28} - \)\(46\!\cdots\!17\)\( T^{29} + \)\(14\!\cdots\!74\)\( T^{30} - \)\(30\!\cdots\!75\)\( T^{31} + \)\(56\!\cdots\!21\)\( T^{32} \))
$53$ (\( 1 - T + 53 T^{2} \))(\( 1 + T + 53 T^{2} \))(\( 1 - 16 T + 167 T^{2} - 848 T^{3} + 2809 T^{4} \))(\( 1 + 16 T + 167 T^{2} + 848 T^{3} + 2809 T^{4} \))(\( 1 - 3 T + 259 T^{2} - 671 T^{3} + 33140 T^{4} - 76472 T^{5} + 2800566 T^{6} - 5841713 T^{7} + 172037347 T^{8} - 309610789 T^{9} + 7866789894 T^{10} - 11384921944 T^{11} + 261490540340 T^{12} - 280609175803 T^{13} + 5740569532411 T^{14} - 3524133419511 T^{15} + 62259690411361 T^{16} \))(\( 1 + 3 T + 259 T^{2} + 671 T^{3} + 33140 T^{4} + 76472 T^{5} + 2800566 T^{6} + 5841713 T^{7} + 172037347 T^{8} + 309610789 T^{9} + 7866789894 T^{10} + 11384921944 T^{11} + 261490540340 T^{12} + 280609175803 T^{13} + 5740569532411 T^{14} + 3524133419511 T^{15} + 62259690411361 T^{16} \))(\( 1 - 12 T + 251 T^{2} - 2123 T^{3} + 28110 T^{4} - 185955 T^{5} + 2056930 T^{6} - 11875405 T^{7} + 123270464 T^{8} - 660472201 T^{9} + 6533334592 T^{10} - 33358012645 T^{11} + 306229567610 T^{12} - 1467274394355 T^{13} + 11755475308230 T^{14} - 47054938676867 T^{15} + 294852496099087 T^{16} - 747116284936332 T^{17} + 3299763591802133 T^{18} \))(\( 1 + 12 T + 251 T^{2} + 2123 T^{3} + 28110 T^{4} + 185955 T^{5} + 2056930 T^{6} + 11875405 T^{7} + 123270464 T^{8} + 660472201 T^{9} + 6533334592 T^{10} + 33358012645 T^{11} + 306229567610 T^{12} + 1467274394355 T^{13} + 11755475308230 T^{14} + 47054938676867 T^{15} + 294852496099087 T^{16} + 747116284936332 T^{17} + 3299763591802133 T^{18} \))(\( 1 + 12 T + 401 T^{2} + 4001 T^{3} + 70543 T^{4} + 575383 T^{5} + 7018763 T^{6} + 45343642 T^{7} + 427988438 T^{8} + 2060058947 T^{9} + 17268440727 T^{10} + 61388213430 T^{11} + 693724505451 T^{12} + 3253575311790 T^{13} + 48507050002143 T^{14} + 306695395852519 T^{15} + 3377034638258678 T^{16} + 18962506720605506 T^{17} + 155566397810863427 T^{18} + 675908819772832571 T^{19} + 4391985340688639023 T^{20} + 13202354130800334133 T^{21} + 70129875616570732649 T^{22} + \)\(11\!\cdots\!64\)\( T^{23} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 + 24 T + 603 T^{2} + 9679 T^{3} + 149521 T^{4} + 1854987 T^{5} + 21952133 T^{6} + 225761694 T^{7} + 2221765972 T^{8} + 19721645009 T^{9} + 168377353725 T^{10} + 1321000801602 T^{11} + 10002935068151 T^{12} + 70013042484906 T^{13} + 472971986613525 T^{14} + 2936099344004893 T^{15} + 17530802188512532 T^{16} + 94412522922845142 T^{17} + 486555003363838157 T^{18} + 2179073893152817119 T^{19} + 9309131169997108081 T^{20} + 31938411805052845307 T^{21} + \)\(10\!\cdots\!47\)\( T^{22} + \)\(22\!\cdots\!28\)\( T^{23} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 - 16 T + 395 T^{2} - 4441 T^{3} + 67581 T^{4} - 623297 T^{5} + 7577923 T^{6} - 61778296 T^{7} + 651876542 T^{8} - 4808080523 T^{9} + 45326804659 T^{10} - 304835394648 T^{11} + 2617377641701 T^{12} - 16156275916344 T^{13} + 127322994287131 T^{14} - 715812604022671 T^{15} + 5143619468996702 T^{16} - 25835404952419928 T^{17} + 167959821979755067 T^{18} - 732193929326982589 T^{19} + 4207572137690187741 T^{20} - 14654250111193272653 T^{21} + 69080550794377654355 T^{22} - \)\(14\!\cdots\!52\)\( T^{23} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 - 4 T + 317 T^{2} - 1535 T^{3} + 53635 T^{4} - 288929 T^{5} + 6330481 T^{6} - 35530248 T^{7} + 570336844 T^{8} - 3173471249 T^{9} + 41004300501 T^{10} - 216160124956 T^{11} + 2401609762549 T^{12} - 11456486622668 T^{13} + 115181080107309 T^{14} - 472456879137373 T^{15} + 4500232031181964 T^{16} - 14858589578772264 T^{17} + 140311067004273049 T^{18} - 339408114921964573 T^{19} + 3339298495213347235 T^{20} - 5065137113416274155 T^{21} + 55439328105867636533 T^{22} - 37076143717488766388 T^{23} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 + 4 T + 317 T^{2} + 1535 T^{3} + 53635 T^{4} + 288929 T^{5} + 6330481 T^{6} + 35530248 T^{7} + 570336844 T^{8} + 3173471249 T^{9} + 41004300501 T^{10} + 216160124956 T^{11} + 2401609762549 T^{12} + 11456486622668 T^{13} + 115181080107309 T^{14} + 472456879137373 T^{15} + 4500232031181964 T^{16} + 14858589578772264 T^{17} + 140311067004273049 T^{18} + 339408114921964573 T^{19} + 3339298495213347235 T^{20} + 5065137113416274155 T^{21} + 55439328105867636533 T^{22} + 37076143717488766388 T^{23} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 + 16 T + 395 T^{2} + 4441 T^{3} + 67581 T^{4} + 623297 T^{5} + 7577923 T^{6} + 61778296 T^{7} + 651876542 T^{8} + 4808080523 T^{9} + 45326804659 T^{10} + 304835394648 T^{11} + 2617377641701 T^{12} + 16156275916344 T^{13} + 127322994287131 T^{14} + 715812604022671 T^{15} + 5143619468996702 T^{16} + 25835404952419928 T^{17} + 167959821979755067 T^{18} + 732193929326982589 T^{19} + 4207572137690187741 T^{20} + 14654250111193272653 T^{21} + 69080550794377654355 T^{22} + \)\(14\!\cdots\!52\)\( T^{23} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 - 24 T + 603 T^{2} - 9679 T^{3} + 149521 T^{4} - 1854987 T^{5} + 21952133 T^{6} - 225761694 T^{7} + 2221765972 T^{8} - 19721645009 T^{9} + 168377353725 T^{10} - 1321000801602 T^{11} + 10002935068151 T^{12} - 70013042484906 T^{13} + 472971986613525 T^{14} - 2936099344004893 T^{15} + 17530802188512532 T^{16} - 94412522922845142 T^{17} + 486555003363838157 T^{18} - 2179073893152817119 T^{19} + 9309131169997108081 T^{20} - 31938411805052845307 T^{21} + \)\(10\!\cdots\!47\)\( T^{22} - \)\(22\!\cdots\!28\)\( T^{23} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 - 12 T + 401 T^{2} - 4001 T^{3} + 70543 T^{4} - 575383 T^{5} + 7018763 T^{6} - 45343642 T^{7} + 427988438 T^{8} - 2060058947 T^{9} + 17268440727 T^{10} - 61388213430 T^{11} + 693724505451 T^{12} - 3253575311790 T^{13} + 48507050002143 T^{14} - 306695395852519 T^{15} + 3377034638258678 T^{16} - 18962506720605506 T^{17} + 155566397810863427 T^{18} - 675908819772832571 T^{19} + 4391985340688639023 T^{20} - 13202354130800334133 T^{21} + 70129875616570732649 T^{22} - \)\(11\!\cdots\!64\)\( T^{23} + \)\(49\!\cdots\!41\)\( T^{24} \))(\( 1 + 22 T + 600 T^{2} + 8891 T^{3} + 149025 T^{4} + 1767428 T^{5} + 23162405 T^{6} + 236054523 T^{7} + 2622232050 T^{8} + 23676784217 T^{9} + 231170051836 T^{10} + 1878471829095 T^{11} + 16435898992365 T^{12} + 121114546059821 T^{13} + 959063276750599 T^{14} + 6419070941170513 T^{15} + 46168440269553285 T^{16} + 279661250500176315 T^{17} + 1824042901780973116 T^{18} + 9901524448282933981 T^{19} + 58120098120237984450 T^{20} + \)\(27\!\cdots\!51\)\( T^{21} + \)\(14\!\cdots\!05\)\( T^{22} + \)\(58\!\cdots\!24\)\( T^{23} + \)\(26\!\cdots\!25\)\( T^{24} + \)\(82\!\cdots\!27\)\( T^{25} + \)\(29\!\cdots\!00\)\( T^{26} + \)\(57\!\cdots\!06\)\( T^{27} + \)\(13\!\cdots\!69\)\( T^{28} \))(\( 1 - 22 T + 600 T^{2} - 8891 T^{3} + 149025 T^{4} - 1767428 T^{5} + 23162405 T^{6} - 236054523 T^{7} + 2622232050 T^{8} - 23676784217 T^{9} + 231170051836 T^{10} - 1878471829095 T^{11} + 16435898992365 T^{12} - 121114546059821 T^{13} + 959063276750599 T^{14} - 6419070941170513 T^{15} + 46168440269553285 T^{16} - 279661250500176315 T^{17} + 1824042901780973116 T^{18} - 9901524448282933981 T^{19} + 58120098120237984450 T^{20} - \)\(27\!\cdots\!51\)\( T^{21} + \)\(14\!\cdots\!05\)\( T^{22} - \)\(58\!\cdots\!24\)\( T^{23} + \)\(26\!\cdots\!25\)\( T^{24} - \)\(82\!\cdots\!27\)\( T^{25} + \)\(29\!\cdots\!00\)\( T^{26} - \)\(57\!\cdots\!06\)\( T^{27} + \)\(13\!\cdots\!69\)\( T^{28} \))(\( 1 + 14 T + 355 T^{2} + 4539 T^{3} + 75770 T^{4} + 860747 T^{5} + 11214548 T^{6} + 115534366 T^{7} + 1287431724 T^{8} + 12096832200 T^{9} + 119428141805 T^{10} + 1034460940195 T^{11} + 9274173886709 T^{12} + 74390586646347 T^{13} + 613141761069538 T^{14} + 4574216784025259 T^{15} + 34956397362447065 T^{16} + 242433489553338727 T^{17} + 1722315206844332242 T^{18} + 11075047368148202319 T^{19} + 73177692843773517029 T^{20} + \)\(43\!\cdots\!35\)\( T^{21} + \)\(26\!\cdots\!45\)\( T^{22} + \)\(14\!\cdots\!00\)\( T^{23} + \)\(80\!\cdots\!64\)\( T^{24} + \)\(38\!\cdots\!78\)\( T^{25} + \)\(19\!\cdots\!52\)\( T^{26} + \)\(79\!\cdots\!59\)\( T^{27} + \)\(37\!\cdots\!70\)\( T^{28} + \)\(11\!\cdots\!47\)\( T^{29} + \)\(48\!\cdots\!95\)\( T^{30} + \)\(10\!\cdots\!98\)\( T^{31} + \)\(38\!\cdots\!21\)\( T^{32} \))(\( 1 - 14 T + 355 T^{2} - 4539 T^{3} + 75770 T^{4} - 860747 T^{5} + 11214548 T^{6} - 115534366 T^{7} + 1287431724 T^{8} - 12096832200 T^{9} + 119428141805 T^{10} - 1034460940195 T^{11} + 9274173886709 T^{12} - 74390586646347 T^{13} + 613141761069538 T^{14} - 4574216784025259 T^{15} + 34956397362447065 T^{16} - 242433489553338727 T^{17} + 1722315206844332242 T^{18} - 11075047368148202319 T^{19} + 73177692843773517029 T^{20} - \)\(43\!\cdots\!35\)\( T^{21} + \)\(26\!\cdots\!45\)\( T^{22} - \)\(14\!\cdots\!00\)\( T^{23} + \)\(80\!\cdots\!64\)\( T^{24} - \)\(38\!\cdots\!78\)\( T^{25} + \)\(19\!\cdots\!52\)\( T^{26} - \)\(79\!\cdots\!59\)\( T^{27} + \)\(37\!\cdots\!70\)\( T^{28} - \)\(11\!\cdots\!47\)\( T^{29} + \)\(48\!\cdots\!95\)\( T^{30} - \)\(10\!\cdots\!98\)\( T^{31} + \)\(38\!\cdots\!21\)\( T^{32} \))
$59$ (\( 1 - 2 T + 59 T^{2} \))(\( 1 + 2 T + 59 T^{2} \))(\( 1 + 10 T + 140 T^{2} + 590 T^{3} + 3481 T^{4} \))(\( 1 - 10 T + 140 T^{2} - 590 T^{3} + 3481 T^{4} \))(\( 1 - 2 T + 187 T^{2} - 781 T^{3} + 15293 T^{4} - 93219 T^{5} + 839319 T^{6} - 6407678 T^{7} + 44695837 T^{8} - 378053002 T^{9} + 2921669439 T^{10} - 19145225001 T^{11} + 185310801773 T^{12} - 558355877519 T^{13} + 7887759790867 T^{14} - 4977302969638 T^{15} + 146830437604321 T^{16} \))(\( 1 + 2 T + 187 T^{2} + 781 T^{3} + 15293 T^{4} + 93219 T^{5} + 839319 T^{6} + 6407678 T^{7} + 44695837 T^{8} + 378053002 T^{9} + 2921669439 T^{10} + 19145225001 T^{11} + 185310801773 T^{12} + 558355877519 T^{13} + 7887759790867 T^{14} + 4977302969638 T^{15} + 146830437604321 T^{16} \))(\( 1 - 6 T + 286 T^{2} - 1739 T^{3} + 43076 T^{4} - 249230 T^{5} + 4459908 T^{6} - 23858923 T^{7} + 343771964 T^{8} - 1647933976 T^{9} + 20282545876 T^{10} - 83052910963 T^{11} + 915971445132 T^{12} - 3020009882030 T^{13} + 30796079103724 T^{14} - 73351948001699 T^{15} + 711754324658234 T^{16} - 880982625625926 T^{17} + 8662995818654939 T^{18} \))(\( 1 + 6 T + 286 T^{2} + 1739 T^{3} + 43076 T^{4} + 249230 T^{5} + 4459908 T^{6} + 23858923 T^{7} + 343771964 T^{8} + 1647933976 T^{9} + 20282545876 T^{10} + 83052910963 T^{11} + 915971445132 T^{12} + 3020009882030 T^{13} + 30796079103724 T^{14} + 73351948001699 T^{15} + 711754324658234 T^{16} + 880982625625926 T^{17} + 8662995818654939 T^{18} \))(\( 1 + 34 T + 991 T^{2} + 19524 T^{3} + 340902 T^{4} + 4900505 T^{5} + 64248442 T^{6} + 743642222 T^{7} + 7996728095 T^{8} + 78396120401 T^{9} + 720435496810 T^{10} + 6116626005439 T^{11} + 48799744500633 T^{12} + 360880934320901 T^{13} + 2507835964395610 T^{14} + 16100916811836979 T^{15} + 96899241145957295 T^{16} + 531647894270152378 T^{17} + 2710033569162837322 T^{18} + 12195649044612933595 T^{19} + 50054789840188237542 T^{20} + \)\(16\!\cdots\!36\)\( T^{21} + \)\(50\!\cdots\!91\)\( T^{22} + \)\(10\!\cdots\!06\)\( T^{23} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 + 10 T + 471 T^{2} + 4552 T^{3} + 110446 T^{4} + 1016167 T^{5} + 16993766 T^{6} + 146376854 T^{7} + 1901091247 T^{8} + 15078221015 T^{9} + 162209617518 T^{10} + 1164196223873 T^{11} + 10798200421241 T^{12} + 68687577208507 T^{13} + 564651678580158 T^{14} + 3096749953839685 T^{15} + 23036208933839167 T^{16} + 104648369735775346 T^{17} + 716806118450282006 T^{18} + 2528885513374068773 T^{19} + 16216834511646837166 T^{20} + 39433956966517282328 T^{21} + \)\(24\!\cdots\!71\)\( T^{22} + \)\(30\!\cdots\!90\)\( T^{23} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 - 26 T + 739 T^{2} - 13160 T^{3} + 227786 T^{4} - 3166215 T^{5} + 41699950 T^{6} - 479752210 T^{7} + 5194514199 T^{8} - 50976622899 T^{9} + 470037330734 T^{10} - 3994115219949 T^{11} + 31880627164561 T^{12} - 235652797976991 T^{13} + 1636199948285054 T^{14} - 10469527834373721 T^{15} + 62943803768908839 T^{16} - 342986512427950790 T^{17} + 1758926143803017950 T^{18} - 7879605661006190085 T^{19} + 33445918060137863306 T^{20} - \)\(11\!\cdots\!40\)\( T^{21} + \)\(37\!\cdots\!39\)\( T^{22} - \)\(78\!\cdots\!34\)\( T^{23} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 - 10 T + 219 T^{2} - 1772 T^{3} + 32138 T^{4} - 256033 T^{5} + 3645418 T^{6} - 26020690 T^{7} + 326852615 T^{8} - 2230252101 T^{9} + 25077488626 T^{10} - 155431115459 T^{11} + 1578741333065 T^{12} - 9170435812081 T^{13} + 87294737907106 T^{14} - 458046946251279 T^{15} + 3960591129749015 T^{16} - 18602823557746310 T^{17} + 153765676584506938 T^{18} - 637176905612663027 T^{19} + 4718836603727668298 T^{20} - 15350828590656551908 T^{21} + \)\(11\!\cdots\!19\)\( T^{22} - \)\(30\!\cdots\!90\)\( T^{23} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 + 10 T + 219 T^{2} + 1772 T^{3} + 32138 T^{4} + 256033 T^{5} + 3645418 T^{6} + 26020690 T^{7} + 326852615 T^{8} + 2230252101 T^{9} + 25077488626 T^{10} + 155431115459 T^{11} + 1578741333065 T^{12} + 9170435812081 T^{13} + 87294737907106 T^{14} + 458046946251279 T^{15} + 3960591129749015 T^{16} + 18602823557746310 T^{17} + 153765676584506938 T^{18} + 637176905612663027 T^{19} + 4718836603727668298 T^{20} + 15350828590656551908 T^{21} + \)\(11\!\cdots\!19\)\( T^{22} + \)\(30\!\cdots\!90\)\( T^{23} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 + 26 T + 739 T^{2} + 13160 T^{3} + 227786 T^{4} + 3166215 T^{5} + 41699950 T^{6} + 479752210 T^{7} + 5194514199 T^{8} + 50976622899 T^{9} + 470037330734 T^{10} + 3994115219949 T^{11} + 31880627164561 T^{12} + 235652797976991 T^{13} + 1636199948285054 T^{14} + 10469527834373721 T^{15} + 62943803768908839 T^{16} + 342986512427950790 T^{17} + 1758926143803017950 T^{18} + 7879605661006190085 T^{19} + 33445918060137863306 T^{20} + \)\(11\!\cdots\!40\)\( T^{21} + \)\(37\!\cdots\!39\)\( T^{22} + \)\(78\!\cdots\!34\)\( T^{23} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 - 10 T + 471 T^{2} - 4552 T^{3} + 110446 T^{4} - 1016167 T^{5} + 16993766 T^{6} - 146376854 T^{7} + 1901091247 T^{8} - 15078221015 T^{9} + 162209617518 T^{10} - 1164196223873 T^{11} + 10798200421241 T^{12} - 68687577208507 T^{13} + 564651678580158 T^{14} - 3096749953839685 T^{15} + 23036208933839167 T^{16} - 104648369735775346 T^{17} + 716806118450282006 T^{18} - 2528885513374068773 T^{19} + 16216834511646837166 T^{20} - 39433956966517282328 T^{21} + \)\(24\!\cdots\!71\)\( T^{22} - \)\(30\!\cdots\!90\)\( T^{23} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 - 34 T + 991 T^{2} - 19524 T^{3} + 340902 T^{4} - 4900505 T^{5} + 64248442 T^{6} - 743642222 T^{7} + 7996728095 T^{8} - 78396120401 T^{9} + 720435496810 T^{10} - 6116626005439 T^{11} + 48799744500633 T^{12} - 360880934320901 T^{13} + 2507835964395610 T^{14} - 16100916811836979 T^{15} + 96899241145957295 T^{16} - 531647894270152378 T^{17} + 2710033569162837322 T^{18} - 12195649044612933595 T^{19} + 50054789840188237542 T^{20} - \)\(16\!\cdots\!36\)\( T^{21} + \)\(50\!\cdots\!91\)\( T^{22} - \)\(10\!\cdots\!06\)\( T^{23} + \)\(17\!\cdots\!81\)\( T^{24} \))(\( 1 + 14 T + 581 T^{2} + 7377 T^{3} + 164702 T^{4} + 1883247 T^{5} + 30220988 T^{6} + 310284265 T^{7} + 4012968527 T^{8} + 37055439705 T^{9} + 408802361169 T^{10} + 3406965871622 T^{11} + 33055223215074 T^{12} + 249122296374202 T^{13} + 2161859424644700 T^{14} + 14698215486077918 T^{15} + 115065232011672594 T^{16} + 699719243747854738 T^{17} + 4953605787937155009 T^{18} + 26491834255233891795 T^{19} + \)\(16\!\cdots\!07\)\( T^{20} + \)\(77\!\cdots\!35\)\( T^{21} + \)\(44\!\cdots\!48\)\( T^{22} + \)\(16\!\cdots\!33\)\( T^{23} + \)\(84\!\cdots\!02\)\( T^{24} + \)\(22\!\cdots\!43\)\( T^{25} + \)\(10\!\cdots\!61\)\( T^{26} + \)\(14\!\cdots\!06\)\( T^{27} + \)\(61\!\cdots\!61\)\( T^{28} \))(\( 1 - 14 T + 581 T^{2} - 7377 T^{3} + 164702 T^{4} - 1883247 T^{5} + 30220988 T^{6} - 310284265 T^{7} + 4012968527 T^{8} - 37055439705 T^{9} + 408802361169 T^{10} - 3406965871622 T^{11} + 33055223215074 T^{12} - 249122296374202 T^{13} + 2161859424644700 T^{14} - 14698215486077918 T^{15} + 115065232011672594 T^{16} - 699719243747854738 T^{17} + 4953605787937155009 T^{18} - 26491834255233891795 T^{19} + \)\(16\!\cdots\!07\)\( T^{20} - \)\(77\!\cdots\!35\)\( T^{21} + \)\(44\!\cdots\!48\)\( T^{22} - \)\(16\!\cdots\!33\)\( T^{23} + \)\(84\!\cdots\!02\)\( T^{24} - \)\(22\!\cdots\!43\)\( T^{25} + \)\(10\!\cdots\!61\)\( T^{26} - \)\(14\!\cdots\!06\)\( T^{27} + \)\(61\!\cdots\!61\)\( T^{28} \))(\( 1 + 6 T + 421 T^{2} + 3377 T^{3} + 93309 T^{4} + 858993 T^{5} + 14636145 T^{6} + 138417394 T^{7} + 1799435159 T^{8} + 16359859240 T^{9} + 180822933617 T^{10} + 1540190906555 T^{11} + 15224681939107 T^{12} + 121397973697163 T^{13} + 1097841079463113 T^{14} + 8232953788291556 T^{15} + 69074281764740816 T^{16} + 485744273509201804 T^{17} + 3821584797611096353 T^{18} + 24932594439949639777 T^{19} + \)\(18\!\cdots\!27\)\( T^{20} + \)\(11\!\cdots\!45\)\( T^{21} + \)\(76\!\cdots\!97\)\( T^{22} + \)\(40\!\cdots\!60\)\( T^{23} + \)\(26\!\cdots\!39\)\( T^{24} + \)\(11\!\cdots\!66\)\( T^{25} + \)\(74\!\cdots\!45\)\( T^{26} + \)\(25\!\cdots\!87\)\( T^{27} + \)\(16\!\cdots\!29\)\( T^{28} + \)\(35\!\cdots\!83\)\( T^{29} + \)\(26\!\cdots\!81\)\( T^{30} + \)\(21\!\cdots\!94\)\( T^{31} + \)\(21\!\cdots\!41\)\( T^{32} \))(\( 1 - 6 T + 421 T^{2} - 3377 T^{3} + 93309 T^{4} - 858993 T^{5} + 14636145 T^{6} - 138417394 T^{7} + 1799435159 T^{8} - 16359859240 T^{9} + 180822933617 T^{10} - 1540190906555 T^{11} + 15224681939107 T^{12} - 121397973697163 T^{13} + 1097841079463113 T^{14} - 8232953788291556 T^{15} + 69074281764740816 T^{16} - 485744273509201804 T^{17} + 3821584797611096353 T^{18} - 24932594439949639777 T^{19} + \)\(18\!\cdots\!27\)\( T^{20} - \)\(11\!\cdots\!45\)\( T^{21} + \)\(76\!\cdots\!97\)\( T^{22} - \)\(40\!\cdots\!60\)\( T^{23} + \)\(26\!\cdots\!39\)\( T^{24} - \)\(11\!\cdots\!66\)\( T^{25} + \)\(74\!\cdots\!45\)\( T^{26} - \)\(25\!\cdots\!87\)\( T^{27} + \)\(16\!\cdots\!29\)\( T^{28} - \)\(35\!\cdots\!83\)\( T^{29} + \)\(26\!\cdots\!81\)\( T^{30} - \)\(21\!\cdots\!94\)\( T^{31} + \)\(21\!\cdots\!41\)\( T^{32} \))
$61$ (\( 1 + 6 T + 61 T^{2} \))(\( 1 + 6 T + 61 T^{2} \))(\( 1 - 2 T + 120 T^{2} - 122 T^{3} + 3721 T^{4} \))(\( 1 - 2 T + 120 T^{2} - 122 T^{3} + 3721 T^{4} \))(\( 1 + 17 T + 287 T^{2} + 3211 T^{3} + 40377 T^{4} + 388503 T^{5} + 3878930 T^{6} + 31804176 T^{7} + 272510093 T^{8} + 1940054736 T^{9} + 14433498530 T^{10} + 88182799443 T^{11} + 559053522057 T^{12} + 2711998722511 T^{13} + 14786347441607 T^{14} + 53426628212357 T^{15} + 191707312997281 T^{16} \))(\( 1 + 17 T + 287 T^{2} + 3211 T^{3} + 40377 T^{4} + 388503 T^{5} + 3878930 T^{6} + 31804176 T^{7} + 272510093 T^{8} + 1940054736 T^{9} + 14433498530 T^{10} + 88182799443 T^{11} + 559053522057 T^{12} + 2711998722511 T^{13} + 14786347441607 T^{14} + 53426628212357 T^{15} + 191707312997281 T^{16} \))(\( 1 + 13 T + 484 T^{2} + 5224 T^{3} + 107984 T^{4} + 976962 T^{5} + 14476899 T^{6} + 110318977 T^{7} + 1285534845 T^{8} + 8199304700 T^{9} + 78417625545 T^{10} + 410496913417 T^{11} + 3285981011919 T^{12} + 13526860515042 T^{13} + 91202886967184 T^{14} + 269142435661864 T^{15} + 1521087532634164 T^{16} + 2492195068964653 T^{17} + 11694146092834141 T^{18} \))(\( 1 + 13 T + 484 T^{2} + 5224 T^{3} + 107984 T^{4} + 976962 T^{5} + 14476899 T^{6} + 110318977 T^{7} + 1285534845 T^{8} + 8199304700 T^{9} + 78417625545 T^{10} + 410496913417 T^{11} + 3285981011919 T^{12} + 13526860515042 T^{13} + 91202886967184 T^{14} + 269142435661864 T^{15} + 1521087532634164 T^{16} + 2492195068964653 T^{17} + 11694146092834141 T^{18} \))(\( 1 + 4 T + 406 T^{2} + 2298 T^{3} + 82658 T^{4} + 590587 T^{5} + 11299823 T^{6} + 92930194 T^{7} + 1165100774 T^{8} + 10151363202 T^{9} + 95808777573 T^{10} + 817946848303 T^{11} + 6441572717915 T^{12} + 49894757746483 T^{13} + 356504461349133 T^{14} + 2304166570953162 T^{15} + 16131800065780934 T^{16} + 78488498103612394 T^{17} + 582171111173038103 T^{18} + 1856063063297134327 T^{19} + 15846143077729252898 T^{20} + 26873147721332856018 T^{21} + \)\(28\!\cdots\!06\)\( T^{22} + \)\(17\!\cdots\!44\)\( T^{23} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( 1 + 518 T^{2} - 300 T^{3} + 126924 T^{4} - 139383 T^{5} + 19680217 T^{6} - 29906974 T^{7} + 2183730146 T^{8} - 3899695138 T^{9} + 185807889183 T^{10} - 341309649871 T^{11} + 12608534769183 T^{12} - 20819888642131 T^{13} + 691391155649943 T^{14} - 885156702118378 T^{15} + 30235580388422786 T^{16} - 25259319614503174 T^{17} + 1013932147345716337 T^{18} - 438044924713115043 T^{19} + 24332258994866893644 T^{20} - 3508243827850242300 T^{21} + \)\(36\!\cdots\!18\)\( T^{22} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( 1 + 16 T + 458 T^{2} + 6342 T^{3} + 102854 T^{4} + 1253623 T^{5} + 15283299 T^{6} + 164257682 T^{7} + 1687820982 T^{8} + 15974386386 T^{9} + 145384440141 T^{10} + 1216682940343 T^{11} + 9937155937675 T^{12} + 74217659360923 T^{13} + 540975501764661 T^{14} + 3625882196280666 T^{15} + 23369300953235862 T^{16} + 138731430628034282 T^{17} + 787401285951096939 T^{18} + 3939814702321154083 T^{19} + 19717863971022339974 T^{20} + 74164274520754122222 T^{21} + \)\(32\!\cdots\!58\)\( T^{22} + \)\(69\!\cdots\!76\)\( T^{23} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( 1 + 12 T + 298 T^{2} + 3496 T^{3} + 54064 T^{4} + 546885 T^{5} + 6800109 T^{6} + 62808914 T^{7} + 667720626 T^{8} + 5627341982 T^{9} + 53783116351 T^{10} + 415772734409 T^{11} + 3577595975703 T^{12} + 25362136798949 T^{13} + 200126975942071 T^{14} + 1277299710416342 T^{15} + 9245153620016466 T^{16} + 53048176434227114 T^{17} + 350344161375605349 T^{18} + 1718718915877344585 T^{19} + 10364464169884999984 T^{20} + 40882734740548156936 T^{21} + \)\(21\!\cdots\!98\)\( T^{22} + \)\(52\!\cdots\!32\)\( T^{23} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( 1 + 12 T + 298 T^{2} + 3496 T^{3} + 54064 T^{4} + 546885 T^{5} + 6800109 T^{6} + 62808914 T^{7} + 667720626 T^{8} + 5627341982 T^{9} + 53783116351 T^{10} + 415772734409 T^{11} + 3577595975703 T^{12} + 25362136798949 T^{13} + 200126975942071 T^{14} + 1277299710416342 T^{15} + 9245153620016466 T^{16} + 53048176434227114 T^{17} + 350344161375605349 T^{18} + 1718718915877344585 T^{19} + 10364464169884999984 T^{20} + 40882734740548156936 T^{21} + \)\(21\!\cdots\!98\)\( T^{22} + \)\(52\!\cdots\!32\)\( T^{23} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( 1 + 16 T + 458 T^{2} + 6342 T^{3} + 102854 T^{4} + 1253623 T^{5} + 15283299 T^{6} + 164257682 T^{7} + 1687820982 T^{8} + 15974386386 T^{9} + 145384440141 T^{10} + 1216682940343 T^{11} + 9937155937675 T^{12} + 74217659360923 T^{13} + 540975501764661 T^{14} + 3625882196280666 T^{15} + 23369300953235862 T^{16} + 138731430628034282 T^{17} + 787401285951096939 T^{18} + 3939814702321154083 T^{19} + 19717863971022339974 T^{20} + 74164274520754122222 T^{21} + \)\(32\!\cdots\!58\)\( T^{22} + \)\(69\!\cdots\!76\)\( T^{23} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( 1 + 518 T^{2} - 300 T^{3} + 126924 T^{4} - 139383 T^{5} + 19680217 T^{6} - 29906974 T^{7} + 2183730146 T^{8} - 3899695138 T^{9} + 185807889183 T^{10} - 341309649871 T^{11} + 12608534769183 T^{12} - 20819888642131 T^{13} + 691391155649943 T^{14} - 885156702118378 T^{15} + 30235580388422786 T^{16} - 25259319614503174 T^{17} + 1013932147345716337 T^{18} - 438044924713115043 T^{19} + 24332258994866893644 T^{20} - 3508243827850242300 T^{21} + \)\(36\!\cdots\!18\)\( T^{22} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( 1 + 4 T + 406 T^{2} + 2298 T^{3} + 82658 T^{4} + 590587 T^{5} + 11299823 T^{6} + 92930194 T^{7} + 1165100774 T^{8} + 10151363202 T^{9} + 95808777573 T^{10} + 817946848303 T^{11} + 6441572717915 T^{12} + 49894757746483 T^{13} + 356504461349133 T^{14} + 2304166570953162 T^{15} + 16131800065780934 T^{16} + 78488498103612394 T^{17} + 582171111173038103 T^{18} + 1856063063297134327 T^{19} + 15846143077729252898 T^{20} + 26873147721332856018 T^{21} + \)\(28\!\cdots\!06\)\( T^{22} + \)\(17\!\cdots\!44\)\( T^{23} + \)\(26\!\cdots\!21\)\( T^{24} \))(\( 1 - 31 T + 799 T^{2} - 14275 T^{3} + 232164 T^{4} - 3132074 T^{5} + 39576049 T^{6} - 440162687 T^{7} + 4672193963 T^{8} - 45028609730 T^{9} + 421062079995 T^{10} - 3650714835224 T^{11} + 31205726643312 T^{12} - 251150250443459 T^{13} + 2015313166590698 T^{14} - 15320165277050999 T^{15} + 116116508839763952 T^{16} - 828642904013978744 T^{17} + 5829958610740050795 T^{18} - 38030997217130608730 T^{19} + \)\(24\!\cdots\!43\)\( T^{20} - \)\(13\!\cdots\!27\)\( T^{21} + \)\(75\!\cdots\!69\)\( T^{22} - \)\(36\!\cdots\!34\)\( T^{23} + \)\(16\!\cdots\!64\)\( T^{24} - \)\(62\!\cdots\!75\)\( T^{25} + \)\(21\!\cdots\!79\)\( T^{26} - \)\(50\!\cdots\!11\)\( T^{27} + \)\(98\!\cdots\!41\)\( T^{28} \))(\( 1 - 31 T + 799 T^{2} - 14275 T^{3} + 232164 T^{4} - 3132074 T^{5} + 39576049 T^{6} - 440162687 T^{7} + 4672193963 T^{8} - 45028609730 T^{9} + 421062079995 T^{10} - 3650714835224 T^{11} + 31205726643312 T^{12} - 251150250443459 T^{13} + 2015313166590698 T^{14} - 15320165277050999 T^{15} + 116116508839763952 T^{16} - 828642904013978744 T^{17} + 5829958610740050795 T^{18} - 38030997217130608730 T^{19} + \)\(24\!\cdots\!43\)\( T^{20} - \)\(13\!\cdots\!27\)\( T^{21} + \)\(75\!\cdots\!69\)\( T^{22} - \)\(36\!\cdots\!34\)\( T^{23} + \)\(16\!\cdots\!64\)\( T^{24} - \)\(62\!\cdots\!75\)\( T^{25} + \)\(21\!\cdots\!79\)\( T^{26} - \)\(50\!\cdots\!11\)\( T^{27} + \)\(98\!\cdots\!41\)\( T^{28} \))(\( 1 - 23 T + 623 T^{2} - 9731 T^{3} + 164697 T^{4} - 2062213 T^{5} + 27459612 T^{6} - 297150828 T^{7} + 3400086161 T^{8} - 33134645582 T^{9} + 340076853532 T^{10} - 3053216330899 T^{11} + 28777635020423 T^{12} - 241106926237677 T^{13} + 2115995875564849 T^{14} - 16655372283408603 T^{15} + 137163094019680348 T^{16} - 1015977709287924783 T^{17} + 7873620652976803129 T^{18} - 54726691224354163137 T^{19} + \)\(39\!\cdots\!43\)\( T^{20} - \)\(25\!\cdots\!99\)\( T^{21} + \)\(17\!\cdots\!52\)\( T^{22} - \)\(10\!\cdots\!22\)\( T^{23} + \)\(65\!\cdots\!41\)\( T^{24} - \)\(34\!\cdots\!48\)\( T^{25} + \)\(19\!\cdots\!12\)\( T^{26} - \)\(89\!\cdots\!93\)\( T^{27} + \)\(43\!\cdots\!37\)\( T^{28} - \)\(15\!\cdots\!11\)\( T^{29} + \)\(61\!\cdots\!43\)\( T^{30} - \)\(13\!\cdots\!23\)\( T^{31} + \)\(36\!\cdots\!61\)\( T^{32} \))(\( 1 - 23 T + 623 T^{2} - 9731 T^{3} + 164697 T^{4} - 2062213 T^{5} + 27459612 T^{6} - 297150828 T^{7} + 3400086161 T^{8} - 33134645582 T^{9} + 340076853532 T^{10} - 3053216330899 T^{11} + 28777635020423 T^{12} - 241106926237677 T^{13} + 2115995875564849 T^{14} - 16655372283408603 T^{15} + 137163094019680348 T^{16} - 1015977709287924783 T^{17} + 7873620652976803129 T^{18} - 54726691224354163137 T^{19} + \)\(39\!\cdots\!43\)\( T^{20} - \)\(25\!\cdots\!99\)\( T^{21} + \)\(17\!\cdots\!52\)\( T^{22} - \)\(10\!\cdots\!22\)\( T^{23} + \)\(65\!\cdots\!41\)\( T^{24} - \)\(34\!\cdots\!48\)\( T^{25} + \)\(19\!\cdots\!12\)\( T^{26} - \)\(89\!\cdots\!93\)\( T^{27} + \)\(43\!\cdots\!37\)\( T^{28} - \)\(15\!\cdots\!11\)\( T^{29} + \)\(61\!\cdots\!43\)\( T^{30} - \)\(13\!\cdots\!23\)\( T^{31} + \)\(36\!\cdots\!61\)\( T^{32} \))
$67$ (\( 1 + 67 T^{2} \))(\( 1 + 67 T^{2} \))(\( 1 + 2 T + 108 T^{2} + 134 T^{3} + 4489 T^{4} \))(\( 1 + 2 T + 108 T^{2} + 134 T^{3} + 4489 T^{4} \))(\( 1 + 14 T + 325 T^{2} + 3419 T^{3} + 55257 T^{4} + 492865 T^{5} + 6126075 T^{6} + 46584916 T^{7} + 484079105 T^{8} + 3121189372 T^{9} + 27499950675 T^{10} + 148235555995 T^{11} + 1113490493097 T^{12} + 4616077740833 T^{13} + 29398974204925 T^{14} + 84849962474522 T^{15} + 406067677556641 T^{16} \))(\( 1 + 14 T + 325 T^{2} + 3419 T^{3} + 55257 T^{4} + 492865 T^{5} + 6126075 T^{6} + 46584916 T^{7} + 484079105 T^{8} + 3121189372 T^{9} + 27499950675 T^{10} + 148235555995 T^{11} + 1113490493097 T^{12} + 4616077740833 T^{13} + 29398974204925 T^{14} + 84849962474522 T^{15} + 406067677556641 T^{16} \))(\( 1 + 14 T + 404 T^{2} + 4765 T^{3} + 76380 T^{4} + 793798 T^{5} + 9308190 T^{6} + 86206581 T^{7} + 824351120 T^{8} + 6730075334 T^{9} + 55231525040 T^{10} + 386981342109 T^{11} + 2799559148970 T^{12} + 15995919547558 T^{13} + 103122555672660 T^{14} + 431034191035285 T^{15} + 2448527488550492 T^{16} + 5684947485792974 T^{17} + 27206534396294947 T^{18} \))(\( 1 + 14 T + 404 T^{2} + 4765 T^{3} + 76380 T^{4} + 793798 T^{5} + 9308190 T^{6} + 86206581 T^{7} + 824351120 T^{8} + 6730075334 T^{9} + 55231525040 T^{10} + 386981342109 T^{11} + 2799559148970 T^{12} + 15995919547558 T^{13} + 103122555672660 T^{14} + 431034191035285 T^{15} + 2448527488550492 T^{16} + 5684947485792974 T^{17} + 27206534396294947 T^{18} \))(\( 1 - T + 257 T^{2} + 45 T^{3} + 40286 T^{4} + 24251 T^{5} + 5084197 T^{6} + 4140364 T^{7} + 503637946 T^{8} + 544064397 T^{9} + 42191060791 T^{10} + 45687110740 T^{11} + 3079301020221 T^{12} + 3061036419580 T^{13} + 189395671890799 T^{14} + 163634440234911 T^{15} + 10148869190037466 T^{16} + 5590009388518948 T^{17} + 459908235248483293 T^{18} + 146978317140688073 T^{19} + 16358842458046839326 T^{20} + 1224294047833272615 T^{21} + \)\(46\!\cdots\!93\)\( T^{22} - \)\(12\!\cdots\!83\)\( T^{23} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( 1 - 21 T + 799 T^{2} - 12751 T^{3} + 276774 T^{4} - 3570999 T^{5} + 56863559 T^{6} - 615634366 T^{7} + 7907297962 T^{8} - 73592160483 T^{9} + 799798334931 T^{10} - 6491628578230 T^{11} + 61208138531903 T^{12} - 434939114741410 T^{13} + 3590294725505259 T^{14} - 22133798963348529 T^{15} + 159340918015315402 T^{16} - 831183414268627162 T^{17} + 5143785551511479471 T^{18} - 21642795081896827677 T^{19} + \)\(11\!\cdots\!34\)\( T^{20} - \)\(34\!\cdots\!97\)\( T^{21} + \)\(14\!\cdots\!51\)\( T^{22} - \)\(25\!\cdots\!43\)\( T^{23} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( 1 + 39 T + 1249 T^{2} + 27317 T^{3} + 524434 T^{4} + 8280215 T^{5} + 118933121 T^{6} + 1498064992 T^{7} + 17521520034 T^{8} + 185053888185 T^{9} + 1834186332603 T^{10} + 16629487163152 T^{11} + 142069839742145 T^{12} + 1114175639931184 T^{13} + 8233662447054867 T^{14} + 55657362572185155 T^{15} + 353078270309058114 T^{16} + 2022575157616954144 T^{17} + 10758497711969919449 T^{18} + 50183995145069584445 T^{19} + \)\(21\!\cdots\!94\)\( T^{20} + \)\(74\!\cdots\!99\)\( T^{21} + \)\(22\!\cdots\!01\)\( T^{22} + \)\(47\!\cdots\!37\)\( T^{23} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( 1 + 19 T + 607 T^{2} + 9305 T^{3} + 169538 T^{4} + 2182477 T^{5} + 29437067 T^{6} + 327561454 T^{7} + 3613890498 T^{8} + 35542644025 T^{9} + 337982347007 T^{10} + 2981324477278 T^{11} + 25176664348651 T^{12} + 199748739977626 T^{13} + 1517202755714423 T^{14} + 10689912244891075 T^{15} + 72823944705948258 T^{16} + 442248943130825578 T^{17} + 2662829456620458323 T^{18} + 13227363682250525071 T^{19} + 68843901917597801858 T^{20} + \)\(25\!\cdots\!35\)\( T^{21} + \)\(11\!\cdots\!43\)\( T^{22} + \)\(23\!\cdots\!77\)\( T^{23} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( 1 + 19 T + 607 T^{2} + 9305 T^{3} + 169538 T^{4} + 2182477 T^{5} + 29437067 T^{6} + 327561454 T^{7} + 3613890498 T^{8} + 35542644025 T^{9} + 337982347007 T^{10} + 2981324477278 T^{11} + 25176664348651 T^{12} + 199748739977626 T^{13} + 1517202755714423 T^{14} + 10689912244891075 T^{15} + 72823944705948258 T^{16} + 442248943130825578 T^{17} + 2662829456620458323 T^{18} + 13227363682250525071 T^{19} + 68843901917597801858 T^{20} + \)\(25\!\cdots\!35\)\( T^{21} + \)\(11\!\cdots\!43\)\( T^{22} + \)\(23\!\cdots\!77\)\( T^{23} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( 1 + 39 T + 1249 T^{2} + 27317 T^{3} + 524434 T^{4} + 8280215 T^{5} + 118933121 T^{6} + 1498064992 T^{7} + 17521520034 T^{8} + 185053888185 T^{9} + 1834186332603 T^{10} + 16629487163152 T^{11} + 142069839742145 T^{12} + 1114175639931184 T^{13} + 8233662447054867 T^{14} + 55657362572185155 T^{15} + 353078270309058114 T^{16} + 2022575157616954144 T^{17} + 10758497711969919449 T^{18} + 50183995145069584445 T^{19} + \)\(21\!\cdots\!94\)\( T^{20} + \)\(74\!\cdots\!99\)\( T^{21} + \)\(22\!\cdots\!01\)\( T^{22} + \)\(47\!\cdots\!37\)\( T^{23} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( 1 - 21 T + 799 T^{2} - 12751 T^{3} + 276774 T^{4} - 3570999 T^{5} + 56863559 T^{6} - 615634366 T^{7} + 7907297962 T^{8} - 73592160483 T^{9} + 799798334931 T^{10} - 6491628578230 T^{11} + 61208138531903 T^{12} - 434939114741410 T^{13} + 3590294725505259 T^{14} - 22133798963348529 T^{15} + 159340918015315402 T^{16} - 831183414268627162 T^{17} + 5143785551511479471 T^{18} - 21642795081896827677 T^{19} + \)\(11\!\cdots\!34\)\( T^{20} - \)\(34\!\cdots\!97\)\( T^{21} + \)\(14\!\cdots\!51\)\( T^{22} - \)\(25\!\cdots\!43\)\( T^{23} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( 1 - T + 257 T^{2} + 45 T^{3} + 40286 T^{4} + 24251 T^{5} + 5084197 T^{6} + 4140364 T^{7} + 503637946 T^{8} + 544064397 T^{9} + 42191060791 T^{10} + 45687110740 T^{11} + 3079301020221 T^{12} + 3061036419580 T^{13} + 189395671890799 T^{14} + 163634440234911 T^{15} + 10148869190037466 T^{16} + 5590009388518948 T^{17} + 459908235248483293 T^{18} + 146978317140688073 T^{19} + 16358842458046839326 T^{20} + 1224294047833272615 T^{21} + \)\(46\!\cdots\!93\)\( T^{22} - \)\(12\!\cdots\!83\)\( T^{23} + \)\(81\!\cdots\!61\)\( T^{24} \))(\( 1 - 24 T + 645 T^{2} - 10579 T^{3} + 173398 T^{4} - 2229369 T^{5} + 27927266 T^{6} - 300633461 T^{7} + 3134279069 T^{8} - 29546445593 T^{9} + 270345477209 T^{10} - 2329683918478 T^{11} + 19689782826956 T^{12} - 162614886738420 T^{13} + 1334836555870912 T^{14} - 10895197411474140 T^{15} + 88387435110205484 T^{16} - 700682724373198714 T^{17} + 5447764423041301289 T^{18} - 39891398017718803451 T^{19} + \)\(28\!\cdots\!61\)\( T^{20} - \)\(18\!\cdots\!03\)\( T^{21} + \)\(11\!\cdots\!06\)\( T^{22} - \)\(60\!\cdots\!43\)\( T^{23} + \)\(31\!\cdots\!02\)\( T^{24} - \)\(12\!\cdots\!57\)\( T^{25} + \)\(52\!\cdots\!45\)\( T^{26} - \)\(13\!\cdots\!88\)\( T^{27} + \)\(36\!\cdots\!29\)\( T^{28} \))(\( 1 - 24 T + 645 T^{2} - 10579 T^{3} + 173398 T^{4} - 2229369 T^{5} + 27927266 T^{6} - 300633461 T^{7} + 3134279069 T^{8} - 29546445593 T^{9} + 270345477209 T^{10} - 2329683918478 T^{11} + 19689782826956 T^{12} - 162614886738420 T^{13} + 1334836555870912 T^{14} - 10895197411474140 T^{15} + 88387435110205484 T^{16} - 700682724373198714 T^{17} + 5447764423041301289 T^{18} - 39891398017718803451 T^{19} + \)\(28\!\cdots\!61\)\( T^{20} - \)\(18\!\cdots\!03\)\( T^{21} + \)\(11\!\cdots\!06\)\( T^{22} - \)\(60\!\cdots\!43\)\( T^{23} + \)\(31\!\cdots\!02\)\( T^{24} - \)\(12\!\cdots\!57\)\( T^{25} + \)\(52\!\cdots\!45\)\( T^{26} - \)\(13\!\cdots\!88\)\( T^{27} + \)\(36\!\cdots\!29\)\( T^{28} \))(\( 1 - 22 T + 501 T^{2} - 6447 T^{3} + 90397 T^{4} - 897211 T^{5} + 11103847 T^{6} - 105422090 T^{7} + 1265907613 T^{8} - 11337838128 T^{9} + 123146992079 T^{10} - 997535874381 T^{11} + 10143521293443 T^{12} - 78621571092433 T^{13} + 783630161714741 T^{14} - 5897580593587028 T^{15} + 55883270158319620 T^{16} - 395137899770330876 T^{17} + 3517715795937472349 T^{18} - 23646459586473426379 T^{19} + \)\(20\!\cdots\!03\)\( T^{20} - \)\(13\!\cdots\!67\)\( T^{21} + \)\(11\!\cdots\!51\)\( T^{22} - \)\(68\!\cdots\!44\)\( T^{23} + \)\(51\!\cdots\!33\)\( T^{24} - \)\(28\!\cdots\!30\)\( T^{25} + \)\(20\!\cdots\!03\)\( T^{26} - \)\(10\!\cdots\!13\)\( T^{27} + \)\(73\!\cdots\!17\)\( T^{28} - \)\(35\!\cdots\!89\)\( T^{29} + \)\(18\!\cdots\!29\)\( T^{30} - \)\(54\!\cdots\!46\)\( T^{31} + \)\(16\!\cdots\!81\)\( T^{32} \))(\( 1 - 22 T + 501 T^{2} - 6447 T^{3} + 90397 T^{4} - 897211 T^{5} + 11103847 T^{6} - 105422090 T^{7} + 1265907613 T^{8} - 11337838128 T^{9} + 123146992079 T^{10} - 997535874381 T^{11} + 10143521293443 T^{12} - 78621571092433 T^{13} + 783630161714741 T^{14} - 5897580593587028 T^{15} + 55883270158319620 T^{16} - 395137899770330876 T^{17} + 3517715795937472349 T^{18} - 23646459586473426379 T^{19} + \)\(20\!\cdots\!03\)\( T^{20} - \)\(13\!\cdots\!67\)\( T^{21} + \)\(11\!\cdots\!51\)\( T^{22} - \)\(68\!\cdots\!44\)\( T^{23} + \)\(51\!\cdots\!33\)\( T^{24} - \)\(28\!\cdots\!30\)\( T^{25} + \)\(20\!\cdots\!03\)\( T^{26} - \)\(10\!\cdots\!13\)\( T^{27} + \)\(73\!\cdots\!17\)\( T^{28} - \)\(35\!\cdots\!89\)\( T^{29} + \)\(18\!\cdots\!29\)\( T^{30} - \)\(54\!\cdots\!46\)\( T^{31} + \)\(16\!\cdots\!81\)\( T^{32} \))
$71$ (\( 1 + 3 T + 71 T^{2} \))(\( 1 - 3 T + 71 T^{2} \))(\( 1 + 4 T - T^{2} + 284 T^{3} + 5041 T^{4} \))(\( 1 - 4 T - T^{2} - 284 T^{3} + 5041 T^{4} \))(\( 1 - 7 T + 376 T^{2} - 2079 T^{3} + 67454 T^{4} - 298691 T^{5} + 7720851 T^{6} - 28228478 T^{7} + 635043539 T^{8} - 2004221938 T^{9} + 38920809891 T^{10} - 106904794501 T^{11} + 1714119530174 T^{12} - 3750992820729 T^{13} + 48165706754296 T^{14} - 63665841108737 T^{15} + 645753531245761 T^{16} \))(\( 1 + 7 T + 376 T^{2} + 2079 T^{3} + 67454 T^{4} + 298691 T^{5} + 7720851 T^{6} + 28228478 T^{7} + 635043539 T^{8} + 2004221938 T^{9} + 38920809891 T^{10} + 106904794501 T^{11} + 1714119530174 T^{12} + 3750992820729 T^{13} + 48165706754296 T^{14} + 63665841108737 T^{15} + 645753531245761 T^{16} \))(\( 1 - 30 T + 690 T^{2} - 12048 T^{3} + 178293 T^{4} - 2311374 T^{5} + 26830140 T^{6} - 282338634 T^{7} + 2711601060 T^{8} - 23874389457 T^{9} + 192523675260 T^{10} - 1423269053994 T^{11} + 9602802237540 T^{12} - 58735898759694 T^{13} + 321681463677843 T^{14} - 1543352220680208 T^{15} + 6275632909289790 T^{16} - 19372605937372830 T^{17} + 45848500718449031 T^{18} \))(\( 1 + 30 T + 690 T^{2} + 12048 T^{3} + 178293 T^{4} + 2311374 T^{5} + 26830140 T^{6} + 282338634 T^{7} + 2711601060 T^{8} + 23874389457 T^{9} + 192523675260 T^{10} + 1423269053994 T^{11} + 9602802237540 T^{12} + 58735898759694 T^{13} + 321681463677843 T^{14} + 1543352220680208 T^{15} + 6275632909289790 T^{16} + 19372605937372830 T^{17} + 45848500718449031 T^{18} \))(\( 1 + 21 T + 815 T^{2} + 13439 T^{3} + 298431 T^{4} + 4057110 T^{5} + 66280222 T^{6} + 764199396 T^{7} + 10056987962 T^{8} + 99917777007 T^{9} + 1105322506763 T^{10} + 9528643307964 T^{11} + 90523489032239 T^{12} + 676533674865444 T^{13} + 5571930756592283 T^{14} + 35761671486352377 T^{15} + 255564969911184122 T^{16} + 1378790980279671996 T^{17} + 8490515256546910462 T^{18} + 36899902945809710010 T^{19} + \)\(19\!\cdots\!91\)\( T^{20} + \)\(61\!\cdots\!09\)\( T^{21} + \)\(26\!\cdots\!15\)\( T^{22} + \)\(48\!\cdots\!91\)\( T^{23} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( 1 + 37 T + 1111 T^{2} + 22875 T^{3} + 415447 T^{4} + 6245078 T^{5} + 86287478 T^{6} + 1055184800 T^{7} + 12132103572 T^{8} + 127257281273 T^{9} + 1267733176411 T^{10} + 11660132106472 T^{11} + 102111645443079 T^{12} + 827869379559512 T^{13} + 6390642942287851 T^{14} + 45546780797700703 T^{15} + 308297145830624532 T^{16} + 1903795386889064800 T^{17} + 11053450430627041238 T^{18} + 56799734808524149498 T^{19} + \)\(26\!\cdots\!67\)\( T^{20} + \)\(10\!\cdots\!25\)\( T^{21} + \)\(36\!\cdots\!11\)\( T^{22} + \)\(85\!\cdots\!27\)\( T^{23} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( 1 - 15 T + 575 T^{2} - 6821 T^{3} + 150303 T^{4} - 1537962 T^{5} + 25378542 T^{6} - 235061520 T^{7} + 3179437558 T^{8} - 26943753841 T^{9} + 311687255347 T^{10} - 2405044514488 T^{11} + 24550756948835 T^{12} - 170758160528648 T^{13} + 1571215454204227 T^{14} - 9643465880986151 T^{15} + 80794852983314998 T^{16} - 424104893674673520 T^{17} + 3250998435701023182 T^{18} - 13987949189039339142 T^{19} + 97058693006831615583 T^{20} - \)\(31\!\cdots\!51\)\( T^{21} + \)\(18\!\cdots\!75\)\( T^{22} - \)\(34\!\cdots\!65\)\( T^{23} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( 1 - 47 T + 1415 T^{2} - 30825 T^{3} + 552183 T^{4} - 8406194 T^{5} + 113856814 T^{6} - 1392488028 T^{7} + 15731393240 T^{8} - 164995119135 T^{9} + 1624120581131 T^{10} - 14986823940348 T^{11} + 130317347009003 T^{12} - 1064064499764708 T^{13} + 8187191849481371 T^{14} - 59053568084726985 T^{15} + 399761146700436440 T^{16} - 2512367771033709828 T^{17} + 14585090199740487694 T^{18} - 76455344504745473854 T^{19} + \)\(35\!\cdots\!63\)\( T^{20} - \)\(14\!\cdots\!75\)\( T^{21} + \)\(46\!\cdots\!15\)\( T^{22} - \)\(10\!\cdots\!37\)\( T^{23} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( 1 + 47 T + 1415 T^{2} + 30825 T^{3} + 552183 T^{4} + 8406194 T^{5} + 113856814 T^{6} + 1392488028 T^{7} + 15731393240 T^{8} + 164995119135 T^{9} + 1624120581131 T^{10} + 14986823940348 T^{11} + 130317347009003 T^{12} + 1064064499764708 T^{13} + 8187191849481371 T^{14} + 59053568084726985 T^{15} + 399761146700436440 T^{16} + 2512367771033709828 T^{17} + 14585090199740487694 T^{18} + 76455344504745473854 T^{19} + \)\(35\!\cdots\!63\)\( T^{20} + \)\(14\!\cdots\!75\)\( T^{21} + \)\(46\!\cdots\!15\)\( T^{22} + \)\(10\!\cdots\!37\)\( T^{23} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( 1 + 15 T + 575 T^{2} + 6821 T^{3} + 150303 T^{4} + 1537962 T^{5} + 25378542 T^{6} + 235061520 T^{7} + 3179437558 T^{8} + 26943753841 T^{9} + 311687255347 T^{10} + 2405044514488 T^{11} + 24550756948835 T^{12} + 170758160528648 T^{13} + 1571215454204227 T^{14} + 9643465880986151 T^{15} + 80794852983314998 T^{16} + 424104893674673520 T^{17} + 3250998435701023182 T^{18} + 13987949189039339142 T^{19} + 97058693006831615583 T^{20} + \)\(31\!\cdots\!51\)\( T^{21} + \)\(18\!\cdots\!75\)\( T^{22} + \)\(34\!\cdots\!65\)\( T^{23} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( 1 - 37 T + 1111 T^{2} - 22875 T^{3} + 415447 T^{4} - 6245078 T^{5} + 86287478 T^{6} - 1055184800 T^{7} + 12132103572 T^{8} - 127257281273 T^{9} + 1267733176411 T^{10} - 11660132106472 T^{11} + 102111645443079 T^{12} - 827869379559512 T^{13} + 6390642942287851 T^{14} - 45546780797700703 T^{15} + 308297145830624532 T^{16} - 1903795386889064800 T^{17} + 11053450430627041238 T^{18} - 56799734808524149498 T^{19} + \)\(26\!\cdots\!67\)\( T^{20} - \)\(10\!\cdots\!25\)\( T^{21} + \)\(36\!\cdots\!11\)\( T^{22} - \)\(85\!\cdots\!27\)\( T^{23} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( 1 - 21 T + 815 T^{2} - 13439 T^{3} + 298431 T^{4} - 4057110 T^{5} + 66280222 T^{6} - 764199396 T^{7} + 10056987962 T^{8} - 99917777007 T^{9} + 1105322506763 T^{10} - 9528643307964 T^{11} + 90523489032239 T^{12} - 676533674865444 T^{13} + 5571930756592283 T^{14} - 35761671486352377 T^{15} + 255564969911184122 T^{16} - 1378790980279671996 T^{17} + 8490515256546910462 T^{18} - 36899902945809710010 T^{19} + \)\(19\!\cdots\!91\)\( T^{20} - \)\(61\!\cdots\!09\)\( T^{21} + \)\(26\!\cdots\!15\)\( T^{22} - \)\(48\!\cdots\!91\)\( T^{23} + \)\(16\!\cdots\!41\)\( T^{24} \))(\( 1 + 28 T + 793 T^{2} + 15570 T^{3} + 289339 T^{4} + 4536466 T^{5} + 66735100 T^{6} + 884178035 T^{7} + 11020890785 T^{8} + 127178786894 T^{9} + 1385246841317 T^{10} + 14162754693270 T^{11} + 137026427434000 T^{12} + 1252415837062688 T^{13} + 10846731641608785 T^{14} + 88921524431450848 T^{15} + 690750220694794000 T^{16} + 5069005695022958970 T^{17} + 35201450837805223877 T^{18} + \)\(22\!\cdots\!94\)\( T^{19} + \)\(14\!\cdots\!85\)\( T^{20} + \)\(80\!\cdots\!85\)\( T^{21} + \)\(43\!\cdots\!00\)\( T^{22} + \)\(20\!\cdots\!46\)\( T^{23} + \)\(94\!\cdots\!39\)\( T^{24} + \)\(35\!\cdots\!70\)\( T^{25} + \)\(13\!\cdots\!13\)\( T^{26} + \)\(32\!\cdots\!08\)\( T^{27} + \)\(82\!\cdots\!81\)\( T^{28} \))(\( 1 - 28 T + 793 T^{2} - 15570 T^{3} + 289339 T^{4} - 4536466 T^{5} + 66735100 T^{6} - 884178035 T^{7} + 11020890785 T^{8} - 127178786894 T^{9} + 1385246841317 T^{10} - 14162754693270 T^{11} + 137026427434000 T^{12} - 1252415837062688 T^{13} + 10846731641608785 T^{14} - 88921524431450848 T^{15} + 690750220694794000 T^{16} - 5069005695022958970 T^{17} + 35201450837805223877 T^{18} - \)\(22\!\cdots\!94\)\( T^{19} + \)\(14\!\cdots\!85\)\( T^{20} - \)\(80\!\cdots\!85\)\( T^{21} + \)\(43\!\cdots\!00\)\( T^{22} - \)\(20\!\cdots\!46\)\( T^{23} + \)\(94\!\cdots\!39\)\( T^{24} - \)\(35\!\cdots\!70\)\( T^{25} + \)\(13\!\cdots\!13\)\( T^{26} - \)\(32\!\cdots\!08\)\( T^{27} + \)\(82\!\cdots\!81\)\( T^{28} \))(\( 1 + 10 T + 348 T^{2} + 3306 T^{3} + 79475 T^{4} + 704716 T^{5} + 13269974 T^{6} + 112792963 T^{7} + 1810263908 T^{8} + 14555945407 T^{9} + 207139838222 T^{10} + 1584359881707 T^{11} + 20430446607892 T^{12} + 147793105273060 T^{13} + 1759580852292030 T^{14} + 12008007115543542 T^{15} + 133043632605308137 T^{16} + 852568505203591482 T^{17} + 8870047076404123230 T^{18} + 52896778101386177660 T^{19} + \)\(51\!\cdots\!52\)\( T^{20} + \)\(28\!\cdots\!57\)\( T^{21} + \)\(26\!\cdots\!62\)\( T^{22} + \)\(13\!\cdots\!37\)\( T^{23} + \)\(11\!\cdots\!88\)\( T^{24} + \)\(51\!\cdots\!53\)\( T^{25} + \)\(43\!\cdots\!74\)\( T^{26} + \)\(16\!\cdots\!36\)\( T^{27} + \)\(13\!\cdots\!75\)\( T^{28} + \)\(38\!\cdots\!66\)\( T^{29} + \)\(28\!\cdots\!88\)\( T^{30} + \)\(58\!\cdots\!10\)\( T^{31} + \)\(41\!\cdots\!21\)\( T^{32} \))(\( 1 - 10 T + 348 T^{2} - 3306 T^{3} + 79475 T^{4} - 704716 T^{5} + 13269974 T^{6} - 112792963 T^{7} + 1810263908 T^{8} - 14555945407 T^{9} + 207139838222 T^{10} - 1584359881707 T^{11} + 20430446607892 T^{12} - 147793105273060 T^{13} + 1759580852292030 T^{14} - 12008007115543542 T^{15} + 133043632605308137 T^{16} - 852568505203591482 T^{17} + 8870047076404123230 T^{18} - 52896778101386177660 T^{19} + \)\(51\!\cdots\!52\)\( T^{20} - \)\(28\!\cdots\!57\)\( T^{21} + \)\(26\!\cdots\!62\)\( T^{22} - \)\(13\!\cdots\!37\)\( T^{23} + \)\(11\!\cdots\!88\)\( T^{24} - \)\(51\!\cdots\!53\)\( T^{25} + \)\(43\!\cdots\!74\)\( T^{26} - \)\(16\!\cdots\!36\)\( T^{27} + \)\(13\!\cdots\!75\)\( T^{28} - \)\(38\!\cdots\!66\)\( T^{29} + \)\(28\!\cdots\!88\)\( T^{30} - \)\(58\!\cdots\!10\)\( T^{31} + \)\(41\!\cdots\!21\)\( T^{32} \))
$73$ (\( 1 + 6 T + 73 T^{2} \))(\( 1 + 6 T + 73 T^{2} \))(\( 1 + 4 T + 138 T^{2} + 292 T^{3} + 5329 T^{4} \))(\( 1 + 4 T + 138 T^{2} + 292 T^{3} + 5329 T^{4} \))(\( 1 + 10 T + 380 T^{2} + 3079 T^{3} + 71273 T^{4} + 493354 T^{5} + 8654984 T^{6} + 51366911 T^{7} + 741758925 T^{8} + 3749784503 T^{9} + 46122409736 T^{10} + 191923093018 T^{11} + 2024027830793 T^{12} + 6382987434847 T^{13} + 57507005989820 T^{14} + 110473985190970 T^{15} + 806460091894081 T^{16} \))(\( 1 + 10 T + 380 T^{2} + 3079 T^{3} + 71273 T^{4} + 493354 T^{5} + 8654984 T^{6} + 51366911 T^{7} + 741758925 T^{8} + 3749784503 T^{9} + 46122409736 T^{10} + 191923093018 T^{11} + 2024027830793 T^{12} + 6382987434847 T^{13} + 57507005989820 T^{14} + 110473985190970 T^{15} + 806460091894081 T^{16} \))(\( 1 + 12 T + 377 T^{2} + 4929 T^{3} + 78527 T^{4} + 927103 T^{5} + 11214517 T^{6} + 111105985 T^{7} + 1134999931 T^{8} + 9491974800 T^{9} + 82854994963 T^{10} + 592083794065 T^{11} + 4362637759789 T^{12} + 26328094425823 T^{13} + 162792092983511 T^{14} + 745926401378481 T^{15} + 4164869241699569 T^{16} + 9677521102728972 T^{17} + 58871586708267913 T^{18} \))(\( 1 + 12 T + 377 T^{2} + 4929 T^{3} + 78527 T^{4} + 927103 T^{5} + 11214517 T^{6} + 111105985 T^{7} + 1134999931 T^{8} + 9491974800 T^{9} + 82854994963 T^{10} + 592083794065 T^{11} + 4362637759789 T^{12} + 26328094425823 T^{13} + 162792092983511 T^{14} + 745926401378481 T^{15} + 4164869241699569 T^{16} + 9677521102728972 T^{17} + 58871586708267913 T^{18} \))(\( 1 + 2 T + 398 T^{2} + 1673 T^{3} + 77385 T^{4} + 460592 T^{5} + 10426140 T^{6} + 69484139 T^{7} + 1135186987 T^{8} + 7189648889 T^{9} + 104932563821 T^{10} + 595825738667 T^{11} + 8285671901785 T^{12} + 43495278922691 T^{13} + 559185632602109 T^{14} + 2796895641852113 T^{15} + 32237313636889867 T^{16} + 144045594724963427 T^{17} + 1577831830080794460 T^{18} + 5088343378707925424 T^{19} + 62407914211223458185 T^{20} + 98492164562932218449 T^{21} + \)\(17\!\cdots\!02\)\( T^{22} + \)\(62\!\cdots\!54\)\( T^{23} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 + 2 T + 502 T^{2} + 1073 T^{3} + 125653 T^{4} + 313232 T^{5} + 20818320 T^{6} + 60283783 T^{7} + 2565761663 T^{8} + 8188988785 T^{9} + 250651940189 T^{10} + 809922763303 T^{11} + 20087838486865 T^{12} + 59124361721119 T^{13} + 1335724189267181 T^{14} + 3185655850174345 T^{15} + 72863118054434783 T^{16} + 124972598055876319 T^{17} + 3150524349836814480 T^{18} + 3460398732933791504 T^{19} + \)\(10\!\cdots\!93\)\( T^{20} + 63169212537971470649 T^{21} + \)\(21\!\cdots\!98\)\( T^{22} + \)\(62\!\cdots\!54\)\( T^{23} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 + 2 T + 430 T^{2} + 1781 T^{3} + 97769 T^{4} + 544940 T^{5} + 15643484 T^{6} + 97962235 T^{7} + 1933240123 T^{8} + 12369386893 T^{9} + 190995008857 T^{10} + 1175619536159 T^{11} + 15381529083285 T^{12} + 85820226139607 T^{13} + 1017812402198953 T^{14} + 4811901780954181 T^{15} + 54900618923823643 T^{16} + 203082726565290355 T^{17} + 2367394547604350876 T^{18} + 6020169348996719180 T^{19} + 78846796724392405289 T^{20} + \)\(10\!\cdots\!53\)\( T^{21} + \)\(18\!\cdots\!70\)\( T^{22} + \)\(62\!\cdots\!54\)\( T^{23} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 + 2 T + 486 T^{2} + 1029 T^{3} + 117469 T^{4} + 238412 T^{5} + 18645928 T^{6} + 34124103 T^{7} + 2191985511 T^{8} + 3513470157 T^{9} + 205786863273 T^{10} + 292339731915 T^{11} + 16232626831117 T^{12} + 21340800429795 T^{13} + 1096638194381817 T^{14} + 1366799620065669 T^{15} + 62248532809886151 T^{16} + 70741708565906079 T^{17} + 2821767087320401192 T^{18} + 2633832375734953964 T^{19} + 94734060534705800989 T^{20} + 60578862722807682477 T^{21} + \)\(20\!\cdots\!14\)\( T^{22} + \)\(62\!\cdots\!54\)\( T^{23} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 + 2 T + 486 T^{2} + 1029 T^{3} + 117469 T^{4} + 238412 T^{5} + 18645928 T^{6} + 34124103 T^{7} + 2191985511 T^{8} + 3513470157 T^{9} + 205786863273 T^{10} + 292339731915 T^{11} + 16232626831117 T^{12} + 21340800429795 T^{13} + 1096638194381817 T^{14} + 1366799620065669 T^{15} + 62248532809886151 T^{16} + 70741708565906079 T^{17} + 2821767087320401192 T^{18} + 2633832375734953964 T^{19} + 94734060534705800989 T^{20} + 60578862722807682477 T^{21} + \)\(20\!\cdots\!14\)\( T^{22} + \)\(62\!\cdots\!54\)\( T^{23} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 + 2 T + 430 T^{2} + 1781 T^{3} + 97769 T^{4} + 544940 T^{5} + 15643484 T^{6} + 97962235 T^{7} + 1933240123 T^{8} + 12369386893 T^{9} + 190995008857 T^{10} + 1175619536159 T^{11} + 15381529083285 T^{12} + 85820226139607 T^{13} + 1017812402198953 T^{14} + 4811901780954181 T^{15} + 54900618923823643 T^{16} + 203082726565290355 T^{17} + 2367394547604350876 T^{18} + 6020169348996719180 T^{19} + 78846796724392405289 T^{20} + \)\(10\!\cdots\!53\)\( T^{21} + \)\(18\!\cdots\!70\)\( T^{22} + \)\(62\!\cdots\!54\)\( T^{23} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 + 2 T + 502 T^{2} + 1073 T^{3} + 125653 T^{4} + 313232 T^{5} + 20818320 T^{6} + 60283783 T^{7} + 2565761663 T^{8} + 8188988785 T^{9} + 250651940189 T^{10} + 809922763303 T^{11} + 20087838486865 T^{12} + 59124361721119 T^{13} + 1335724189267181 T^{14} + 3185655850174345 T^{15} + 72863118054434783 T^{16} + 124972598055876319 T^{17} + 3150524349836814480 T^{18} + 3460398732933791504 T^{19} + \)\(10\!\cdots\!93\)\( T^{20} + 63169212537971470649 T^{21} + \)\(21\!\cdots\!98\)\( T^{22} + \)\(62\!\cdots\!54\)\( T^{23} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 + 2 T + 398 T^{2} + 1673 T^{3} + 77385 T^{4} + 460592 T^{5} + 10426140 T^{6} + 69484139 T^{7} + 1135186987 T^{8} + 7189648889 T^{9} + 104932563821 T^{10} + 595825738667 T^{11} + 8285671901785 T^{12} + 43495278922691 T^{13} + 559185632602109 T^{14} + 2796895641852113 T^{15} + 32237313636889867 T^{16} + 144045594724963427 T^{17} + 1577831830080794460 T^{18} + 5088343378707925424 T^{19} + 62407914211223458185 T^{20} + 98492164562932218449 T^{21} + \)\(17\!\cdots\!02\)\( T^{22} + \)\(62\!\cdots\!54\)\( T^{23} + \)\(22\!\cdots\!21\)\( T^{24} \))(\( 1 - 24 T + 559 T^{2} - 10259 T^{3} + 166212 T^{4} - 2371579 T^{5} + 31144574 T^{6} - 379413212 T^{7} + 4292139247 T^{8} - 45848681295 T^{9} + 466387972197 T^{10} - 4520665874695 T^{11} + 42080295557530 T^{12} - 377765144648286 T^{13} + 3289457070452829 T^{14} - 27576855559324878 T^{15} + 224245895026077370 T^{16} - 1758615876576224815 T^{17} + 13244598033951705477 T^{18} - 95047598769174952935 T^{19} + \)\(64\!\cdots\!83\)\( T^{20} - \)\(41\!\cdots\!64\)\( T^{21} + \)\(25\!\cdots\!94\)\( T^{22} - \)\(13\!\cdots\!27\)\( T^{23} + \)\(71\!\cdots\!88\)\( T^{24} - \)\(32\!\cdots\!43\)\( T^{25} + \)\(12\!\cdots\!39\)\( T^{26} - \)\(40\!\cdots\!92\)\( T^{27} + \)\(12\!\cdots\!09\)\( T^{28} \))(\( 1 - 24 T + 559 T^{2} - 10259 T^{3} + 166212 T^{4} - 2371579 T^{5} + 31144574 T^{6} - 379413212 T^{7} + 4292139247 T^{8} - 45848681295 T^{9} + 466387972197 T^{10} - 4520665874695 T^{11} + 42080295557530 T^{12} - 377765144648286 T^{13} + 3289457070452829 T^{14} - 27576855559324878 T^{15} + 224245895026077370 T^{16} - 1758615876576224815 T^{17} + 13244598033951705477 T^{18} - 95047598769174952935 T^{19} + \)\(64\!\cdots\!83\)\( T^{20} - \)\(41\!\cdots\!64\)\( T^{21} + \)\(25\!\cdots\!94\)\( T^{22} - \)\(13\!\cdots\!27\)\( T^{23} + \)\(71\!\cdots\!88\)\( T^{24} - \)\(32\!\cdots\!43\)\( T^{25} + \)\(12\!\cdots\!39\)\( T^{26} - \)\(40\!\cdots\!92\)\( T^{27} + \)\(12\!\cdots\!09\)\( T^{28} \))(\( 1 - 16 T + 657 T^{2} - 8691 T^{3} + 193935 T^{4} - 2148045 T^{5} + 33995389 T^{6} - 313704285 T^{7} + 3864817095 T^{8} - 28416856962 T^{9} + 279048539417 T^{10} - 1324790621337 T^{11} + 9344920298771 T^{12} + 29861440907009 T^{13} - 425662097598134 T^{14} + 10097340072817335 T^{15} - 68988484687694674 T^{16} + 737105825315665455 T^{17} - 2268353318100456086 T^{18} + 11616608157321920153 T^{19} + \)\(26\!\cdots\!11\)\( T^{20} - \)\(27\!\cdots\!41\)\( T^{21} + \)\(42\!\cdots\!13\)\( T^{22} - \)\(31\!\cdots\!14\)\( T^{23} + \)\(31\!\cdots\!95\)\( T^{24} - \)\(18\!\cdots\!05\)\( T^{25} + \)\(14\!\cdots\!61\)\( T^{26} - \)\(67\!\cdots\!65\)\( T^{27} + \)\(44\!\cdots\!35\)\( T^{28} - \)\(14\!\cdots\!03\)\( T^{29} + \)\(80\!\cdots\!13\)\( T^{30} - \)\(14\!\cdots\!12\)\( T^{31} + \)\(65\!\cdots\!61\)\( T^{32} \))(\( 1 - 16 T + 657 T^{2} - 8691 T^{3} + 193935 T^{4} - 2148045 T^{5} + 33995389 T^{6} - 313704285 T^{7} + 3864817095 T^{8} - 28416856962 T^{9} + 279048539417 T^{10} - 1324790621337 T^{11} + 9344920298771 T^{12} + 29861440907009 T^{13} - 425662097598134 T^{14} + 10097340072817335 T^{15} - 68988484687694674 T^{16} + 737105825315665455 T^{17} - 2268353318100456086 T^{18} + 11616608157321920153 T^{19} + \)\(26\!\cdots\!11\)\( T^{20} - \)\(27\!\cdots\!41\)\( T^{21} + \)\(42\!\cdots\!13\)\( T^{22} - \)\(31\!\cdots\!14\)\( T^{23} + \)\(31\!\cdots\!95\)\( T^{24} - \)\(18\!\cdots\!05\)\( T^{25} + \)\(14\!\cdots\!61\)\( T^{26} - \)\(67\!\cdots\!65\)\( T^{27} + \)\(44\!\cdots\!35\)\( T^{28} - \)\(14\!\cdots\!03\)\( T^{29} + \)\(80\!\cdots\!13\)\( T^{30} - \)\(14\!\cdots\!12\)\( T^{31} + \)\(65\!\cdots\!61\)\( T^{32} \))
$79$ (\( 1 + 8 T + 79 T^{2} \))(\( 1 + 8 T + 79 T^{2} \))(\( 1 + 22 T + 276 T^{2} + 1738 T^{3} + 6241 T^{4} \))(\( 1 + 22 T + 276 T^{2} + 1738 T^{3} + 6241 T^{4} \))(\( 1 + 33 T + 891 T^{2} + 16593 T^{3} + 267540 T^{4} + 3546960 T^{5} + 42232098 T^{6} + 436784437 T^{7} + 4134028575 T^{8} + 34505970523 T^{9} + 263570523618 T^{10} + 1748789611440 T^{11} + 10420704670740 T^{12} + 51057596828607 T^{13} + 216590922869211 T^{14} + 633728996543247 T^{15} + 1517108809906561 T^{16} \))(\( 1 + 33 T + 891 T^{2} + 16593 T^{3} + 267540 T^{4} + 3546960 T^{5} + 42232098 T^{6} + 436784437 T^{7} + 4134028575 T^{8} + 34505970523 T^{9} + 263570523618 T^{10} + 1748789611440 T^{11} + 10420704670740 T^{12} + 51057596828607 T^{13} + 216590922869211 T^{14} + 633728996543247 T^{15} + 1517108809906561 T^{16} \))(\( 1 + 35 T + 974 T^{2} + 19318 T^{3} + 329779 T^{4} + 4739591 T^{5} + 60921526 T^{6} + 691590981 T^{7} + 7153951615 T^{8} + 66417803924 T^{9} + 565162177585 T^{10} + 4316219312421 T^{11} + 30036688257514 T^{12} + 184607453356871 T^{13} + 1014748582205821 T^{14} + 4695963465754678 T^{15} + 18704607352518866 T^{16} + 53098808346729635 T^{17} + 119851595982618319 T^{18} \))(\( 1 + 35 T + 974 T^{2} + 19318 T^{3} + 329779 T^{4} + 4739591 T^{5} + 60921526 T^{6} + 691590981 T^{7} + 7153951615 T^{8} + 66417803924 T^{9} + 565162177585 T^{10} + 4316219312421 T^{11} + 30036688257514 T^{12} + 184607453356871 T^{13} + 1014748582205821 T^{14} + 4695963465754678 T^{15} + 18704607352518866 T^{16} + 53098808346729635 T^{17} + 119851595982618319 T^{18} \))(\( 1 - 9 T + 518 T^{2} - 3691 T^{3} + 131738 T^{4} - 781364 T^{5} + 22668483 T^{6} - 116720572 T^{7} + 2981526684 T^{8} - 13678163642 T^{9} + 315293662403 T^{10} - 1306179035946 T^{11} + 27391779560869 T^{12} - 103188143839734 T^{13} + 1967747747057123 T^{14} - 6743868123888038 T^{15} + 116130705845461404 T^{16} - 359155782967540228 T^{17} + 5510423852991044643 T^{18} - 15005243141061140876 T^{19} + \)\(19\!\cdots\!18\)\( T^{20} - \)\(44\!\cdots\!29\)\( T^{21} + \)\(49\!\cdots\!18\)\( T^{22} - \)\(67\!\cdots\!11\)\( T^{23} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 - 7 T + 700 T^{2} - 3679 T^{3} + 228154 T^{4} - 879730 T^{5} + 46628737 T^{6} - 127937112 T^{7} + 6779437914 T^{8} - 13119162148 T^{9} + 752285146813 T^{10} - 1100360658298 T^{11} + 66267884019181 T^{12} - 86928492005542 T^{13} + 4695011601259933 T^{14} - 6468258586287772 T^{15} + 264059655884771034 T^{16} - 393669709149179688 T^{17} + 11334861031487906977 T^{18} - 16894254852393657070 T^{19} + \)\(34\!\cdots\!94\)\( T^{20} - \)\(44\!\cdots\!01\)\( T^{21} + \)\(66\!\cdots\!00\)\( T^{22} - \)\(52\!\cdots\!53\)\( T^{23} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 + 13 T + 642 T^{2} + 7931 T^{3} + 208102 T^{4} + 2350248 T^{5} + 43881217 T^{6} + 448689818 T^{7} + 6656264326 T^{8} + 61306315608 T^{9} + 764644126911 T^{10} + 6302701751558 T^{11} + 68251618197003 T^{12} + 497913438373082 T^{13} + 4772143996051551 T^{14} + 30226404541052712 T^{15} + 259262034655110406 T^{16} + 1380643875643045382 T^{17} + 10666973385694849057 T^{18} + 45133948686902217432 T^{19} + \)\(31\!\cdots\!22\)\( T^{20} + \)\(95\!\cdots\!89\)\( T^{21} + \)\(60\!\cdots\!42\)\( T^{22} + \)\(97\!\cdots\!27\)\( T^{23} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 + 15 T + 564 T^{2} + 6783 T^{3} + 152314 T^{4} + 1542062 T^{5} + 26410551 T^{6} + 232068714 T^{7} + 3357776408 T^{8} + 26270103298 T^{9} + 339911306201 T^{10} + 2426868197790 T^{11} + 28970653055967 T^{12} + 191722587625410 T^{13} + 2121386462000441 T^{14} + 12952185459942622 T^{15} + 130785663071489048 T^{16} + 714088521421400886 T^{17} + 6420073641497602071 T^{18} + 29613618299014319858 T^{19} + \)\(23\!\cdots\!54\)\( T^{20} + \)\(81\!\cdots\!77\)\( T^{21} + \)\(53\!\cdots\!64\)\( T^{22} + \)\(11\!\cdots\!85\)\( T^{23} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 + 15 T + 564 T^{2} + 6783 T^{3} + 152314 T^{4} + 1542062 T^{5} + 26410551 T^{6} + 232068714 T^{7} + 3357776408 T^{8} + 26270103298 T^{9} + 339911306201 T^{10} + 2426868197790 T^{11} + 28970653055967 T^{12} + 191722587625410 T^{13} + 2121386462000441 T^{14} + 12952185459942622 T^{15} + 130785663071489048 T^{16} + 714088521421400886 T^{17} + 6420073641497602071 T^{18} + 29613618299014319858 T^{19} + \)\(23\!\cdots\!54\)\( T^{20} + \)\(81\!\cdots\!77\)\( T^{21} + \)\(53\!\cdots\!64\)\( T^{22} + \)\(11\!\cdots\!85\)\( T^{23} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 + 13 T + 642 T^{2} + 7931 T^{3} + 208102 T^{4} + 2350248 T^{5} + 43881217 T^{6} + 448689818 T^{7} + 6656264326 T^{8} + 61306315608 T^{9} + 764644126911 T^{10} + 6302701751558 T^{11} + 68251618197003 T^{12} + 497913438373082 T^{13} + 4772143996051551 T^{14} + 30226404541052712 T^{15} + 259262034655110406 T^{16} + 1380643875643045382 T^{17} + 10666973385694849057 T^{18} + 45133948686902217432 T^{19} + \)\(31\!\cdots\!22\)\( T^{20} + \)\(95\!\cdots\!89\)\( T^{21} + \)\(60\!\cdots\!42\)\( T^{22} + \)\(97\!\cdots\!27\)\( T^{23} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 - 7 T + 700 T^{2} - 3679 T^{3} + 228154 T^{4} - 879730 T^{5} + 46628737 T^{6} - 127937112 T^{7} + 6779437914 T^{8} - 13119162148 T^{9} + 752285146813 T^{10} - 1100360658298 T^{11} + 66267884019181 T^{12} - 86928492005542 T^{13} + 4695011601259933 T^{14} - 6468258586287772 T^{15} + 264059655884771034 T^{16} - 393669709149179688 T^{17} + 11334861031487906977 T^{18} - 16894254852393657070 T^{19} + \)\(34\!\cdots\!94\)\( T^{20} - \)\(44\!\cdots\!01\)\( T^{21} + \)\(66\!\cdots\!00\)\( T^{22} - \)\(52\!\cdots\!53\)\( T^{23} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 - 9 T + 518 T^{2} - 3691 T^{3} + 131738 T^{4} - 781364 T^{5} + 22668483 T^{6} - 116720572 T^{7} + 2981526684 T^{8} - 13678163642 T^{9} + 315293662403 T^{10} - 1306179035946 T^{11} + 27391779560869 T^{12} - 103188143839734 T^{13} + 1967747747057123 T^{14} - 6743868123888038 T^{15} + 116130705845461404 T^{16} - 359155782967540228 T^{17} + 5510423852991044643 T^{18} - 15005243141061140876 T^{19} + \)\(19\!\cdots\!18\)\( T^{20} - \)\(44\!\cdots\!29\)\( T^{21} + \)\(49\!\cdots\!18\)\( T^{22} - \)\(67\!\cdots\!11\)\( T^{23} + \)\(59\!\cdots\!41\)\( T^{24} \))(\( 1 - 65 T + 2695 T^{2} - 81273 T^{3} + 1994435 T^{4} - 41257851 T^{5} + 745630895 T^{6} - 11965350812 T^{7} + 173460480090 T^{8} - 2292541231594 T^{9} + 27902035275023 T^{10} - 314417424571610 T^{11} + 3300424334374354 T^{12} - 32356362354243161 T^{13} + 297156786296087190 T^{14} - 2556152625985209719 T^{15} + 20597948270830343314 T^{16} - \)\(15\!\cdots\!90\)\( T^{17} + \)\(10\!\cdots\!63\)\( T^{18} - \)\(70\!\cdots\!06\)\( T^{19} + \)\(42\!\cdots\!90\)\( T^{20} - \)\(22\!\cdots\!08\)\( T^{21} + \)\(11\!\cdots\!95\)\( T^{22} - \)\(49\!\cdots\!69\)\( T^{23} + \)\(18\!\cdots\!35\)\( T^{24} - \)\(60\!\cdots\!67\)\( T^{25} + \)\(15\!\cdots\!95\)\( T^{26} - \)\(30\!\cdots\!35\)\( T^{27} + \)\(36\!\cdots\!81\)\( T^{28} \))(\( 1 - 65 T + 2695 T^{2} - 81273 T^{3} + 1994435 T^{4} - 41257851 T^{5} + 745630895 T^{6} - 11965350812 T^{7} + 173460480090 T^{8} - 2292541231594 T^{9} + 27902035275023 T^{10} - 314417424571610 T^{11} + 3300424334374354 T^{12} - 32356362354243161 T^{13} + 297156786296087190 T^{14} - 2556152625985209719 T^{15} + 20597948270830343314 T^{16} - \)\(15\!\cdots\!90\)\( T^{17} + \)\(10\!\cdots\!63\)\( T^{18} - \)\(70\!\cdots\!06\)\( T^{19} + \)\(42\!\cdots\!90\)\( T^{20} - \)\(22\!\cdots\!08\)\( T^{21} + \)\(11\!\cdots\!95\)\( T^{22} - \)\(49\!\cdots\!69\)\( T^{23} + \)\(18\!\cdots\!35\)\( T^{24} - \)\(60\!\cdots\!67\)\( T^{25} + \)\(15\!\cdots\!95\)\( T^{26} - \)\(30\!\cdots\!35\)\( T^{27} + \)\(36\!\cdots\!81\)\( T^{28} \))(\( 1 - 37 T + 1293 T^{2} - 30205 T^{3} + 659418 T^{4} - 11821632 T^{5} + 200229184 T^{6} - 2987108633 T^{7} + 42498417027 T^{8} - 550360270237 T^{9} + 6842422501064 T^{10} - 78818982243014 T^{11} + 875542846416182 T^{12} - 9101674831788723 T^{13} + 91493489547618347 T^{14} - 865201334798351465 T^{15} + 7922241862830505496 T^{16} - 68350905449069765735 T^{17} + \)\(57\!\cdots\!27\)\( T^{18} - \)\(44\!\cdots\!97\)\( T^{19} + \)\(34\!\cdots\!42\)\( T^{20} - \)\(24\!\cdots\!86\)\( T^{21} + \)\(16\!\cdots\!44\)\( T^{22} - \)\(10\!\cdots\!83\)\( T^{23} + \)\(64\!\cdots\!47\)\( T^{24} - \)\(35\!\cdots\!27\)\( T^{25} + \)\(18\!\cdots\!84\)\( T^{26} - \)\(88\!\cdots\!28\)\( T^{27} + \)\(38\!\cdots\!38\)\( T^{28} - \)\(14\!\cdots\!95\)\( T^{29} + \)\(47\!\cdots\!33\)\( T^{30} - \)\(10\!\cdots\!63\)\( T^{31} + \)\(23\!\cdots\!21\)\( T^{32} \))(\( 1 - 37 T + 1293 T^{2} - 30205 T^{3} + 659418 T^{4} - 11821632 T^{5} + 200229184 T^{6} - 2987108633 T^{7} + 42498417027 T^{8} - 550360270237 T^{9} + 6842422501064 T^{10} - 78818982243014 T^{11} + 875542846416182 T^{12} - 9101674831788723 T^{13} + 91493489547618347 T^{14} - 865201334798351465 T^{15} + 7922241862830505496 T^{16} - 68350905449069765735 T^{17} + \)\(57\!\cdots\!27\)\( T^{18} - \)\(44\!\cdots\!97\)\( T^{19} + \)\(34\!\cdots\!42\)\( T^{20} - \)\(24\!\cdots\!86\)\( T^{21} + \)\(16\!\cdots\!44\)\( T^{22} - \)\(10\!\cdots\!83\)\( T^{23} + \)\(64\!\cdots\!47\)\( T^{24} - \)\(35\!\cdots\!27\)\( T^{25} + \)\(18\!\cdots\!84\)\( T^{26} - \)\(88\!\cdots\!28\)\( T^{27} + \)\(38\!\cdots\!38\)\( T^{28} - \)\(14\!\cdots\!95\)\( T^{29} + \)\(47\!\cdots\!33\)\( T^{30} - \)\(10\!\cdots\!63\)\( T^{31} + \)\(23\!\cdots\!21\)\( T^{32} \))
$83$ (\( 1 - 6 T + 83 T^{2} \))(\( 1 + 6 T + 83 T^{2} \))(\( 1 + 14 T + 188 T^{2} + 1162 T^{3} + 6889 T^{4} \))(\( 1 - 14 T + 188 T^{2} - 1162 T^{3} + 6889 T^{4} \))(\( 1 - 13 T + 566 T^{2} - 6044 T^{3} + 145132 T^{4} - 1282046 T^{5} + 22184174 T^{6} - 163089004 T^{7} + 2235297087 T^{8} - 13536387332 T^{9} + 152826774686 T^{10} - 733057236202 T^{11} + 6887721043372 T^{12} - 23807561646292 T^{13} + 185048251326854 T^{14} - 352768662865151 T^{15} + 2252292232139041 T^{16} \))(\( 1 + 13 T + 566 T^{2} + 6044 T^{3} + 145132 T^{4} + 1282046 T^{5} + 22184174 T^{6} + 163089004 T^{7} + 2235297087 T^{8} + 13536387332 T^{9} + 152826774686 T^{10} + 733057236202 T^{11} + 6887721043372 T^{12} + 23807561646292 T^{13} + 185048251326854 T^{14} + 352768662865151 T^{15} + 2252292232139041 T^{16} \))(\( 1 - 5 T + 419 T^{2} - 2365 T^{3} + 86890 T^{4} - 462426 T^{5} + 11913060 T^{6} - 56786404 T^{7} + 1216257923 T^{8} - 5289477148 T^{9} + 100949407609 T^{10} - 391201537156 T^{11} + 6811732838220 T^{12} - 21945961546746 T^{13} + 342263241470270 T^{14} - 773213983017685 T^{15} + 11370005364653713 T^{16} - 11261461160695205 T^{17} + 186940255267540403 T^{18} \))(\( 1 + 5 T + 419 T^{2} + 2365 T^{3} + 86890 T^{4} + 462426 T^{5} + 11913060 T^{6} + 56786404 T^{7} + 1216257923 T^{8} + 5289477148 T^{9} + 100949407609 T^{10} + 391201537156 T^{11} + 6811732838220 T^{12} + 21945961546746 T^{13} + 342263241470270 T^{14} + 773213983017685 T^{15} + 11370005364653713 T^{16} + 11261461160695205 T^{17} + 186940255267540403 T^{18} \))(\( 1 + 10 T + 595 T^{2} + 4428 T^{3} + 153376 T^{4} + 876647 T^{5} + 24166252 T^{6} + 117887750 T^{7} + 2875503543 T^{8} + 14127122419 T^{9} + 295311784318 T^{10} + 1507783663471 T^{11} + 26514609855899 T^{12} + 125146044068093 T^{13} + 2034402882166702 T^{14} + 8077704946592753 T^{15} + 136466570180331303 T^{16} + 464364638561823250 T^{17} + 7900923451809342988 T^{18} + 23788737691903540669 T^{19} + \)\(34\!\cdots\!16\)\( T^{20} + \)\(82\!\cdots\!84\)\( T^{21} + \)\(92\!\cdots\!55\)\( T^{22} + \)\(12\!\cdots\!70\)\( T^{23} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 + 22 T + 719 T^{2} + 10556 T^{3} + 199296 T^{4} + 2156997 T^{5} + 30929344 T^{6} + 264149042 T^{7} + 3374891639 T^{8} + 24768853573 T^{9} + 314751114974 T^{10} + 2148093090825 T^{11} + 27214698406967 T^{12} + 178291726538475 T^{13} + 2168320431055886 T^{14} + 14162508477944951 T^{15} + 160166690743878119 T^{16} + 1040493812247514006 T^{17} + 10112051275418239936 T^{18} + 58532380576472470119 T^{19} + \)\(44\!\cdots\!36\)\( T^{20} + \)\(19\!\cdots\!68\)\( T^{21} + \)\(11\!\cdots\!31\)\( T^{22} + \)\(28\!\cdots\!74\)\( T^{23} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 - 6 T + 499 T^{2} - 1996 T^{3} + 124008 T^{4} - 380973 T^{5} + 21623828 T^{6} - 57244490 T^{7} + 2928997939 T^{8} - 6884893093 T^{9} + 321051017318 T^{10} - 680931897969 T^{11} + 29175527008207 T^{12} - 56517347531427 T^{13} + 2211720458303702 T^{14} - 3936692366967191 T^{15} + 139005324397400419 T^{16} - 225488372697807070 T^{17} + 7069702399987036532 T^{18} - 10338102753671167071 T^{19} + \)\(27\!\cdots\!28\)\( T^{20} - \)\(37\!\cdots\!88\)\( T^{21} + \)\(77\!\cdots\!51\)\( T^{22} - \)\(77\!\cdots\!02\)\( T^{23} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 - 18 T + 863 T^{2} - 13116 T^{3} + 348984 T^{4} - 4560335 T^{5} + 87697456 T^{6} - 996405958 T^{7} + 15277660667 T^{8} - 151747795747 T^{9} + 1945449095534 T^{10} - 16894314638903 T^{11} + 185758185266123 T^{12} - 1402228115028949 T^{13} + 13402198819133726 T^{14} - 86767416886789889 T^{15} + 725052124063560107 T^{16} - 3924883565489350994 T^{17} + 28671839008151449264 T^{18} - \)\(12\!\cdots\!45\)\( T^{19} + \)\(78\!\cdots\!44\)\( T^{20} - \)\(24\!\cdots\!48\)\( T^{21} + \)\(13\!\cdots\!87\)\( T^{22} - \)\(23\!\cdots\!06\)\( T^{23} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 + 18 T + 863 T^{2} + 13116 T^{3} + 348984 T^{4} + 4560335 T^{5} + 87697456 T^{6} + 996405958 T^{7} + 15277660667 T^{8} + 151747795747 T^{9} + 1945449095534 T^{10} + 16894314638903 T^{11} + 185758185266123 T^{12} + 1402228115028949 T^{13} + 13402198819133726 T^{14} + 86767416886789889 T^{15} + 725052124063560107 T^{16} + 3924883565489350994 T^{17} + 28671839008151449264 T^{18} + \)\(12\!\cdots\!45\)\( T^{19} + \)\(78\!\cdots\!44\)\( T^{20} + \)\(24\!\cdots\!48\)\( T^{21} + \)\(13\!\cdots\!87\)\( T^{22} + \)\(23\!\cdots\!06\)\( T^{23} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 + 6 T + 499 T^{2} + 1996 T^{3} + 124008 T^{4} + 380973 T^{5} + 21623828 T^{6} + 57244490 T^{7} + 2928997939 T^{8} + 6884893093 T^{9} + 321051017318 T^{10} + 680931897969 T^{11} + 29175527008207 T^{12} + 56517347531427 T^{13} + 2211720458303702 T^{14} + 3936692366967191 T^{15} + 139005324397400419 T^{16} + 225488372697807070 T^{17} + 7069702399987036532 T^{18} + 10338102753671167071 T^{19} + \)\(27\!\cdots\!28\)\( T^{20} + \)\(37\!\cdots\!88\)\( T^{21} + \)\(77\!\cdots\!51\)\( T^{22} + \)\(77\!\cdots\!02\)\( T^{23} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 - 22 T + 719 T^{2} - 10556 T^{3} + 199296 T^{4} - 2156997 T^{5} + 30929344 T^{6} - 264149042 T^{7} + 3374891639 T^{8} - 24768853573 T^{9} + 314751114974 T^{10} - 2148093090825 T^{11} + 27214698406967 T^{12} - 178291726538475 T^{13} + 2168320431055886 T^{14} - 14162508477944951 T^{15} + 160166690743878119 T^{16} - 1040493812247514006 T^{17} + 10112051275418239936 T^{18} - 58532380576472470119 T^{19} + \)\(44\!\cdots\!36\)\( T^{20} - \)\(19\!\cdots\!68\)\( T^{21} + \)\(11\!\cdots\!31\)\( T^{22} - \)\(28\!\cdots\!74\)\( T^{23} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 - 10 T + 595 T^{2} - 4428 T^{3} + 153376 T^{4} - 876647 T^{5} + 24166252 T^{6} - 117887750 T^{7} + 2875503543 T^{8} - 14127122419 T^{9} + 295311784318 T^{10} - 1507783663471 T^{11} + 26514609855899 T^{12} - 125146044068093 T^{13} + 2034402882166702 T^{14} - 8077704946592753 T^{15} + 136466570180331303 T^{16} - 464364638561823250 T^{17} + 7900923451809342988 T^{18} - 23788737691903540669 T^{19} + \)\(34\!\cdots\!16\)\( T^{20} - \)\(82\!\cdots\!84\)\( T^{21} + \)\(92\!\cdots\!55\)\( T^{22} - \)\(12\!\cdots\!70\)\( T^{23} + \)\(10\!\cdots\!61\)\( T^{24} \))(\( 1 - 15 T + 316 T^{2} - 3384 T^{3} + 55867 T^{4} - 540953 T^{5} + 8059014 T^{6} - 79440974 T^{7} + 1044683618 T^{8} - 9433281291 T^{9} + 111583188986 T^{10} - 972398968994 T^{11} + 10784971542554 T^{12} - 91456205304469 T^{13} + 961321029078984 T^{14} - 7590865040270927 T^{15} + 74297668956654506 T^{16} - 556005089284172278 T^{17} + 5295550801101252506 T^{18} - 37158078402100510113 T^{19} + \)\(34\!\cdots\!42\)\( T^{20} - \)\(21\!\cdots\!98\)\( T^{21} + \)\(18\!\cdots\!74\)\( T^{22} - \)\(10\!\cdots\!59\)\( T^{23} + \)\(86\!\cdots\!83\)\( T^{24} - \)\(43\!\cdots\!28\)\( T^{25} + \)\(33\!\cdots\!76\)\( T^{26} - \)\(13\!\cdots\!45\)\( T^{27} + \)\(73\!\cdots\!29\)\( T^{28} \))(\( 1 + 15 T + 316 T^{2} + 3384 T^{3} + 55867 T^{4} + 540953 T^{5} + 8059014 T^{6} + 79440974 T^{7} + 1044683618 T^{8} + 9433281291 T^{9} + 111583188986 T^{10} + 972398968994 T^{11} + 10784971542554 T^{12} + 91456205304469 T^{13} + 961321029078984 T^{14} + 7590865040270927 T^{15} + 74297668956654506 T^{16} + 556005089284172278 T^{17} + 5295550801101252506 T^{18} + 37158078402100510113 T^{19} + \)\(34\!\cdots\!42\)\( T^{20} + \)\(21\!\cdots\!98\)\( T^{21} + \)\(18\!\cdots\!74\)\( T^{22} + \)\(10\!\cdots\!59\)\( T^{23} + \)\(86\!\cdots\!83\)\( T^{24} + \)\(43\!\cdots\!28\)\( T^{25} + \)\(33\!\cdots\!76\)\( T^{26} + \)\(13\!\cdots\!45\)\( T^{27} + \)\(73\!\cdots\!29\)\( T^{28} \))(\( 1 + 33 T + 1122 T^{2} + 24494 T^{3} + 511386 T^{4} + 8622810 T^{5} + 138526414 T^{6} + 1949218058 T^{7} + 26348423747 T^{8} + 325157069944 T^{9} + 3892530023484 T^{10} + 43563085621070 T^{11} + 475900306593478 T^{12} + 4916499499128146 T^{13} + 49636759814357764 T^{14} + 475513781064524147 T^{15} + 4446561469434356760 T^{16} + 39467643828355504201 T^{17} + \)\(34\!\cdots\!96\)\( T^{18} + \)\(28\!\cdots\!02\)\( T^{19} + \)\(22\!\cdots\!38\)\( T^{20} + \)\(17\!\cdots\!10\)\( T^{21} + \)\(12\!\cdots\!96\)\( T^{22} + \)\(88\!\cdots\!88\)\( T^{23} + \)\(59\!\cdots\!27\)\( T^{24} + \)\(36\!\cdots\!74\)\( T^{25} + \)\(21\!\cdots\!86\)\( T^{26} + \)\(11\!\cdots\!70\)\( T^{27} + \)\(54\!\cdots\!46\)\( T^{28} + \)\(21\!\cdots\!22\)\( T^{29} + \)\(82\!\cdots\!38\)\( T^{30} + \)\(20\!\cdots\!31\)\( T^{31} + \)\(50\!\cdots\!81\)\( T^{32} \))(\( 1 - 33 T + 1122 T^{2} - 24494 T^{3} + 511386 T^{4} - 8622810 T^{5} + 138526414 T^{6} - 1949218058 T^{7} + 26348423747 T^{8} - 325157069944 T^{9} + 3892530023484 T^{10} - 43563085621070 T^{11} + 475900306593478 T^{12} - 4916499499128146 T^{13} + 49636759814357764 T^{14} - 475513781064524147 T^{15} + 4446561469434356760 T^{16} - 39467643828355504201 T^{17} + \)\(34\!\cdots\!96\)\( T^{18} - \)\(28\!\cdots\!02\)\( T^{19} + \)\(22\!\cdots\!38\)\( T^{20} - \)\(17\!\cdots\!10\)\( T^{21} + \)\(12\!\cdots\!96\)\( T^{22} - \)\(88\!\cdots\!88\)\( T^{23} + \)\(59\!\cdots\!27\)\( T^{24} - \)\(36\!\cdots\!74\)\( T^{25} + \)\(21\!\cdots\!86\)\( T^{26} - \)\(11\!\cdots\!70\)\( T^{27} + \)\(54\!\cdots\!46\)\( T^{28} - \)\(21\!\cdots\!22\)\( T^{29} + \)\(82\!\cdots\!38\)\( T^{30} - \)\(20\!\cdots\!31\)\( T^{31} + \)\(50\!\cdots\!81\)\( T^{32} \))
$89$ (\( 1 - T + 89 T^{2} \))(\( 1 + T + 89 T^{2} \))(\( 1 + 12 T + 211 T^{2} + 1068 T^{3} + 7921 T^{4} \))(\( 1 - 12 T + 211 T^{2} - 1068 T^{3} + 7921 T^{4} \))(\( 1 + 22 T + 483 T^{2} + 6152 T^{3} + 66677 T^{4} + 418457 T^{5} + 1196132 T^{6} - 23297564 T^{7} - 288951823 T^{8} - 2073483196 T^{9} + 9474561572 T^{10} + 294999212833 T^{11} + 4183464403157 T^{12} + 34353133730248 T^{13} + 240041963534163 T^{14} + 973089367701638 T^{15} + 3936588805702081 T^{16} \))(\( 1 - 22 T + 483 T^{2} - 6152 T^{3} + 66677 T^{4} - 418457 T^{5} + 1196132 T^{6} + 23297564 T^{7} - 288951823 T^{8} + 2073483196 T^{9} + 9474561572 T^{10} - 294999212833 T^{11} + 4183464403157 T^{12} - 34353133730248 T^{13} + 240041963534163 T^{14} - 973089367701638 T^{15} + 3936588805702081 T^{16} \))(\( 1 - 23 T + 858 T^{2} - 15157 T^{3} + 314746 T^{4} - 4452798 T^{5} + 66088684 T^{6} - 764102797 T^{7} + 8849517519 T^{8} - 83953359151 T^{9} + 787607059191 T^{10} - 6052458255037 T^{11} + 46590473470796 T^{12} - 279378525240318 T^{13} + 1757560375334954 T^{14} - 7532745427095877 T^{15} + 37950485340363882 T^{16} - 90541542531147863 T^{17} + 350356403707485209 T^{18} \))(\( 1 + 23 T + 858 T^{2} + 15157 T^{3} + 314746 T^{4} + 4452798 T^{5} + 66088684 T^{6} + 764102797 T^{7} + 8849517519 T^{8} + 83953359151 T^{9} + 787607059191 T^{10} + 6052458255037 T^{11} + 46590473470796 T^{12} + 279378525240318 T^{13} + 1757560375334954 T^{14} + 7532745427095877 T^{15} + 37950485340363882 T^{16} + 90541542531147863 T^{17} + 350356403707485209 T^{18} \))(\( 1 - 2 T + 662 T^{2} - 1003 T^{3} + 214775 T^{4} - 220301 T^{5} + 45647850 T^{6} - 27386804 T^{7} + 7148082988 T^{8} - 2124959770 T^{9} + 875420427455 T^{10} - 125970749265 T^{11} + 86394150305655 T^{12} - 11211396684585 T^{13} + 6934205205871055 T^{14} - 1498030764097130 T^{15} + 448486745521096108 T^{16} - 152929541654110996 T^{17} + 22686127422594083850 T^{18} - 9744207308819934229 T^{19} + \)\(84\!\cdots\!75\)\( T^{20} - \)\(35\!\cdots\!27\)\( T^{21} + \)\(20\!\cdots\!62\)\( T^{22} - \)\(55\!\cdots\!78\)\( T^{23} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 + 40 T + 1430 T^{2} + 35157 T^{3} + 772387 T^{4} + 14151415 T^{5} + 235920178 T^{6} + 3483529268 T^{7} + 47407646992 T^{8} + 586085327676 T^{9} + 6728255791535 T^{10} + 70958208182375 T^{11} + 697284512185649 T^{12} + 6315280528231375 T^{13} + 53294514124748735 T^{14} + 413171987366422044 T^{15} + 2974462012814989072 T^{16} + 19452234524843453332 T^{17} + \)\(11\!\cdots\!58\)\( T^{18} + \)\(62\!\cdots\!35\)\( T^{19} + \)\(30\!\cdots\!47\)\( T^{20} + \)\(12\!\cdots\!13\)\( T^{21} + \)\(44\!\cdots\!30\)\( T^{22} + \)\(11\!\cdots\!60\)\( T^{23} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 - 18 T + 746 T^{2} - 10931 T^{3} + 258147 T^{4} - 3211901 T^{5} + 56563606 T^{6} - 617030340 T^{7} + 8993867452 T^{8} - 87725667134 T^{9} + 1111985478215 T^{10} - 9767955242077 T^{11} + 110148098602543 T^{12} - 869348016544853 T^{13} + 8808036972941015 T^{14} - 61843875833788846 T^{15} + 564295399195439932 T^{16} - 3445534100396682660 T^{17} + 28111053931289365366 T^{18} - \)\(14\!\cdots\!29\)\( T^{19} + \)\(10\!\cdots\!07\)\( T^{20} - \)\(38\!\cdots\!79\)\( T^{21} + \)\(23\!\cdots\!46\)\( T^{22} - \)\(49\!\cdots\!02\)\( T^{23} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 - 24 T + 578 T^{2} - 8123 T^{3} + 131247 T^{4} - 1610393 T^{5} + 23145950 T^{6} - 257958908 T^{7} + 3198014560 T^{8} - 31793265584 T^{9} + 360076976807 T^{10} - 3357276169589 T^{11} + 35144002539569 T^{12} - 298797579093421 T^{13} + 2852169733288247 T^{14} - 22413266645486896 T^{15} + 200650600245028960 T^{16} - 1440457877671121692 T^{17} + 11503104111518757950 T^{18} - 71229832096415632897 T^{19} + \)\(51\!\cdots\!07\)\( T^{20} - \)\(28\!\cdots\!07\)\( T^{21} + \)\(18\!\cdots\!78\)\( T^{22} - \)\(66\!\cdots\!36\)\( T^{23} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 + 24 T + 578 T^{2} + 8123 T^{3} + 131247 T^{4} + 1610393 T^{5} + 23145950 T^{6} + 257958908 T^{7} + 3198014560 T^{8} + 31793265584 T^{9} + 360076976807 T^{10} + 3357276169589 T^{11} + 35144002539569 T^{12} + 298797579093421 T^{13} + 2852169733288247 T^{14} + 22413266645486896 T^{15} + 200650600245028960 T^{16} + 1440457877671121692 T^{17} + 11503104111518757950 T^{18} + 71229832096415632897 T^{19} + \)\(51\!\cdots\!07\)\( T^{20} + \)\(28\!\cdots\!07\)\( T^{21} + \)\(18\!\cdots\!78\)\( T^{22} + \)\(66\!\cdots\!36\)\( T^{23} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 + 18 T + 746 T^{2} + 10931 T^{3} + 258147 T^{4} + 3211901 T^{5} + 56563606 T^{6} + 617030340 T^{7} + 8993867452 T^{8} + 87725667134 T^{9} + 1111985478215 T^{10} + 9767955242077 T^{11} + 110148098602543 T^{12} + 869348016544853 T^{13} + 8808036972941015 T^{14} + 61843875833788846 T^{15} + 564295399195439932 T^{16} + 3445534100396682660 T^{17} + 28111053931289365366 T^{18} + \)\(14\!\cdots\!29\)\( T^{19} + \)\(10\!\cdots\!07\)\( T^{20} + \)\(38\!\cdots\!79\)\( T^{21} + \)\(23\!\cdots\!46\)\( T^{22} + \)\(49\!\cdots\!02\)\( T^{23} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 - 40 T + 1430 T^{2} - 35157 T^{3} + 772387 T^{4} - 14151415 T^{5} + 235920178 T^{6} - 3483529268 T^{7} + 47407646992 T^{8} - 586085327676 T^{9} + 6728255791535 T^{10} - 70958208182375 T^{11} + 697284512185649 T^{12} - 6315280528231375 T^{13} + 53294514124748735 T^{14} - 413171987366422044 T^{15} + 2974462012814989072 T^{16} - 19452234524843453332 T^{17} + \)\(11\!\cdots\!58\)\( T^{18} - \)\(62\!\cdots\!35\)\( T^{19} + \)\(30\!\cdots\!47\)\( T^{20} - \)\(12\!\cdots\!13\)\( T^{21} + \)\(44\!\cdots\!30\)\( T^{22} - \)\(11\!\cdots\!60\)\( T^{23} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 + 2 T + 662 T^{2} + 1003 T^{3} + 214775 T^{4} + 220301 T^{5} + 45647850 T^{6} + 27386804 T^{7} + 7148082988 T^{8} + 2124959770 T^{9} + 875420427455 T^{10} + 125970749265 T^{11} + 86394150305655 T^{12} + 11211396684585 T^{13} + 6934205205871055 T^{14} + 1498030764097130 T^{15} + 448486745521096108 T^{16} + 152929541654110996 T^{17} + 22686127422594083850 T^{18} + 9744207308819934229 T^{19} + \)\(84\!\cdots\!75\)\( T^{20} + \)\(35\!\cdots\!27\)\( T^{21} + \)\(20\!\cdots\!62\)\( T^{22} + \)\(55\!\cdots\!78\)\( T^{23} + \)\(24\!\cdots\!21\)\( T^{24} \))(\( 1 - 11 T + 637 T^{2} - 4666 T^{3} + 194340 T^{4} - 988871 T^{5} + 40302057 T^{6} - 140952095 T^{7} + 6481748951 T^{8} - 15564145255 T^{9} + 861119774688 T^{10} - 1481669315671 T^{11} + 96912973093927 T^{12} - 132503710750456 T^{13} + 9321434523205205 T^{14} - 11792830256790584 T^{15} + 767647659876995767 T^{16} - 1044530935799269199 T^{17} + 54028584433340195808 T^{18} - 86911112376791264495 T^{19} + \)\(32\!\cdots\!11\)\( T^{20} - \)\(62\!\cdots\!55\)\( T^{21} + \)\(15\!\cdots\!17\)\( T^{22} - \)\(34\!\cdots\!39\)\( T^{23} + \)\(60\!\cdots\!40\)\( T^{24} - \)\(12\!\cdots\!74\)\( T^{25} + \)\(15\!\cdots\!77\)\( T^{26} - \)\(24\!\cdots\!59\)\( T^{27} + \)\(19\!\cdots\!41\)\( T^{28} \))(\( 1 + 11 T + 637 T^{2} + 4666 T^{3} + 194340 T^{4} + 988871 T^{5} + 40302057 T^{6} + 140952095 T^{7} + 6481748951 T^{8} + 15564145255 T^{9} + 861119774688 T^{10} + 1481669315671 T^{11} + 96912973093927 T^{12} + 132503710750456 T^{13} + 9321434523205205 T^{14} + 11792830256790584 T^{15} + 767647659876995767 T^{16} + 1044530935799269199 T^{17} + 54028584433340195808 T^{18} + 86911112376791264495 T^{19} + \)\(32\!\cdots\!11\)\( T^{20} + \)\(62\!\cdots\!55\)\( T^{21} + \)\(15\!\cdots\!17\)\( T^{22} + \)\(34\!\cdots\!39\)\( T^{23} + \)\(60\!\cdots\!40\)\( T^{24} + \)\(12\!\cdots\!74\)\( T^{25} + \)\(15\!\cdots\!77\)\( T^{26} + \)\(24\!\cdots\!59\)\( T^{27} + \)\(19\!\cdots\!41\)\( T^{28} \))(\( 1 - 3 T + 912 T^{2} - 3691 T^{3} + 403650 T^{4} - 2005170 T^{5} + 116248542 T^{6} - 662095412 T^{7} + 24600752616 T^{8} - 152253821721 T^{9} + 4085470877920 T^{10} - 26287156415963 T^{11} + 553939919786416 T^{12} - 3563810505243158 T^{13} + 62861306538071442 T^{14} - 389212626420763073 T^{15} + 6056913619349440659 T^{16} - 34639923751447913497 T^{17} + \)\(49\!\cdots\!82\)\( T^{18} - \)\(25\!\cdots\!02\)\( T^{19} + \)\(34\!\cdots\!56\)\( T^{20} - \)\(14\!\cdots\!87\)\( T^{21} + \)\(20\!\cdots\!20\)\( T^{22} - \)\(67\!\cdots\!09\)\( T^{23} + \)\(96\!\cdots\!96\)\( T^{24} - \)\(23\!\cdots\!08\)\( T^{25} + \)\(36\!\cdots\!42\)\( T^{26} - \)\(55\!\cdots\!30\)\( T^{27} + \)\(99\!\cdots\!50\)\( T^{28} - \)\(81\!\cdots\!79\)\( T^{29} + \)\(17\!\cdots\!92\)\( T^{30} - \)\(52\!\cdots\!47\)\( T^{31} + \)\(15\!\cdots\!61\)\( T^{32} \))(\( 1 + 3 T + 912 T^{2} + 3691 T^{3} + 403650 T^{4} + 2005170 T^{5} + 116248542 T^{6} + 662095412 T^{7} + 24600752616 T^{8} + 152253821721 T^{9} + 4085470877920 T^{10} + 26287156415963 T^{11} + 553939919786416 T^{12} + 3563810505243158 T^{13} + 62861306538071442 T^{14} + 389212626420763073 T^{15} + 6056913619349440659 T^{16} + 34639923751447913497 T^{17} + \)\(49\!\cdots\!82\)\( T^{18} + \)\(25\!\cdots\!02\)\( T^{19} + \)\(34\!\cdots\!56\)\( T^{20} + \)\(14\!\cdots\!87\)\( T^{21} + \)\(20\!\cdots\!20\)\( T^{22} + \)\(67\!\cdots\!09\)\( T^{23} + \)\(96\!\cdots\!96\)\( T^{24} + \)\(23\!\cdots\!08\)\( T^{25} + \)\(36\!\cdots\!42\)\( T^{26} + \)\(55\!\cdots\!30\)\( T^{27} + \)\(99\!\cdots\!50\)\( T^{28} + \)\(81\!\cdots\!79\)\( T^{29} + \)\(17\!\cdots\!92\)\( T^{30} + \)\(52\!\cdots\!47\)\( T^{31} + \)\(15\!\cdots\!61\)\( T^{32} \))
$97$ (\( 1 - 10 T + 97 T^{2} \))(\( 1 - 10 T + 97 T^{2} \))(\( 1 - 18 T + 272 T^{2} - 1746 T^{3} + 9409 T^{4} \))(\( 1 - 18 T + 272 T^{2} - 1746 T^{3} + 9409 T^{4} \))(\( 1 + 11 T + 555 T^{2} + 4180 T^{3} + 124875 T^{4} + 596251 T^{5} + 16127779 T^{6} + 47076750 T^{7} + 1614911481 T^{8} + 4566444750 T^{9} + 151746272611 T^{10} + 544182188923 T^{11} + 11055093964875 T^{12} + 35895082274260 T^{13} + 462299462735595 T^{14} + 888781129259243 T^{15} + 7837433594376961 T^{16} \))(\( 1 + 11 T + 555 T^{2} + 4180 T^{3} + 124875 T^{4} + 596251 T^{5} + 16127779 T^{6} + 47076750 T^{7} + 1614911481 T^{8} + 4566444750 T^{9} + 151746272611 T^{10} + 544182188923 T^{11} + 11055093964875 T^{12} + 35895082274260 T^{13} + 462299462735595 T^{14} + 888781129259243 T^{15} + 7837433594376961 T^{16} \))(\( 1 + 21 T + 846 T^{2} + 14729 T^{3} + 324320 T^{4} + 4641521 T^{5} + 73149346 T^{6} + 860391843 T^{7} + 10636874310 T^{8} + 102739172088 T^{9} + 1031776808070 T^{10} + 8095426850787 T^{11} + 66761433061858 T^{12} + 410910516876401 T^{13} + 2785046192150240 T^{14} + 12268844660599241 T^{15} + 68355348668483598 T^{16} + 164586105481916181 T^{17} + 760231058654565217 T^{18} \))(\( 1 + 21 T + 846 T^{2} + 14729 T^{3} + 324320 T^{4} + 4641521 T^{5} + 73149346 T^{6} + 860391843 T^{7} + 10636874310 T^{8} + 102739172088 T^{9} + 1031776808070 T^{10} + 8095426850787 T^{11} + 66761433061858 T^{12} + 410910516876401 T^{13} + 2785046192150240 T^{14} + 12268844660599241 T^{15} + 68355348668483598 T^{16} + 164586105481916181 T^{17} + 760231058654565217 T^{18} \))(\( 1 + 13 T + 909 T^{2} + 10619 T^{3} + 399660 T^{4} + 4192016 T^{5} + 111664562 T^{6} + 1049739005 T^{7} + 22001910224 T^{8} + 184572841939 T^{9} + 3213928058406 T^{10} + 23874378565506 T^{11} + 356479471151649 T^{12} + 2315814720854082 T^{13} + 30239849101542054 T^{14} + 168454649370992947 T^{15} + 1947813292757268944 T^{16} + 9014466016979624285 T^{17} + 93013454088658626098 T^{18} + \)\(33\!\cdots\!08\)\( T^{19} + \)\(31\!\cdots\!60\)\( T^{20} + \)\(80\!\cdots\!23\)\( T^{21} + \)\(67\!\cdots\!41\)\( T^{22} + \)\(92\!\cdots\!89\)\( T^{23} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 - 7 T + 517 T^{2} - 4705 T^{3} + 141436 T^{4} - 1468706 T^{5} + 27804818 T^{6} - 301005861 T^{7} + 4295214504 T^{8} - 46235717659 T^{9} + 541114581696 T^{10} - 5592020727862 T^{11} + 57075181715471 T^{12} - 542426010602614 T^{13} + 5091347099177664 T^{14} - 42198091142992507 T^{15} + 380252251779891624 T^{16} - 2584839747758246277 T^{17} + 23160634996145947922 T^{18} - \)\(11\!\cdots\!78\)\( T^{19} + \)\(11\!\cdots\!96\)\( T^{20} - \)\(35\!\cdots\!85\)\( T^{21} + \)\(38\!\cdots\!33\)\( T^{22} - \)\(50\!\cdots\!71\)\( T^{23} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 - 19 T + 267 T^{2} - 559 T^{3} - 14104 T^{4} + 276882 T^{5} + 496472 T^{6} - 28917735 T^{7} + 500203798 T^{8} - 2112028751 T^{9} + 11279268340 T^{10} + 94022750560 T^{11} + 142599766015 T^{12} + 9120206804320 T^{13} + 106126635811060 T^{14} - 1927591616261423 T^{15} + 44282682590409238 T^{16} - 248326429906757895 T^{17} + 413547277231110488 T^{18} + 22371590602868883666 T^{19} - \)\(11\!\cdots\!44\)\( T^{20} - \)\(42\!\cdots\!03\)\( T^{21} + \)\(19\!\cdots\!83\)\( T^{22} - \)\(13\!\cdots\!07\)\( T^{23} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 + 25 T + 1103 T^{2} + 21705 T^{3} + 551572 T^{4} + 8957656 T^{5} + 167995324 T^{6} + 2313751659 T^{7} + 34991740282 T^{8} + 414911018767 T^{9} + 5273346067898 T^{10} + 54184093348156 T^{11} + 590821306410541 T^{12} + 5255857054771132 T^{13} + 49616913152852282 T^{14} + 378678084231134191 T^{15} + 3097793608104197242 T^{16} + 19868972766031236363 T^{17} + \)\(13\!\cdots\!96\)\( T^{18} + \)\(72\!\cdots\!28\)\( T^{19} + \)\(43\!\cdots\!92\)\( T^{20} + \)\(16\!\cdots\!85\)\( T^{21} + \)\(81\!\cdots\!47\)\( T^{22} + \)\(17\!\cdots\!25\)\( T^{23} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 + 25 T + 1103 T^{2} + 21705 T^{3} + 551572 T^{4} + 8957656 T^{5} + 167995324 T^{6} + 2313751659 T^{7} + 34991740282 T^{8} + 414911018767 T^{9} + 5273346067898 T^{10} + 54184093348156 T^{11} + 590821306410541 T^{12} + 5255857054771132 T^{13} + 49616913152852282 T^{14} + 378678084231134191 T^{15} + 3097793608104197242 T^{16} + 19868972766031236363 T^{17} + \)\(13\!\cdots\!96\)\( T^{18} + \)\(72\!\cdots\!28\)\( T^{19} + \)\(43\!\cdots\!92\)\( T^{20} + \)\(16\!\cdots\!85\)\( T^{21} + \)\(81\!\cdots\!47\)\( T^{22} + \)\(17\!\cdots\!25\)\( T^{23} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 - 19 T + 267 T^{2} - 559 T^{3} - 14104 T^{4} + 276882 T^{5} + 496472 T^{6} - 28917735 T^{7} + 500203798 T^{8} - 2112028751 T^{9} + 11279268340 T^{10} + 94022750560 T^{11} + 142599766015 T^{12} + 9120206804320 T^{13} + 106126635811060 T^{14} - 1927591616261423 T^{15} + 44282682590409238 T^{16} - 248326429906757895 T^{17} + 413547277231110488 T^{18} + 22371590602868883666 T^{19} - \)\(11\!\cdots\!44\)\( T^{20} - \)\(42\!\cdots\!03\)\( T^{21} + \)\(19\!\cdots\!83\)\( T^{22} - \)\(13\!\cdots\!07\)\( T^{23} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 - 7 T + 517 T^{2} - 4705 T^{3} + 141436 T^{4} - 1468706 T^{5} + 27804818 T^{6} - 301005861 T^{7} + 4295214504 T^{8} - 46235717659 T^{9} + 541114581696 T^{10} - 5592020727862 T^{11} + 57075181715471 T^{12} - 542426010602614 T^{13} + 5091347099177664 T^{14} - 42198091142992507 T^{15} + 380252251779891624 T^{16} - 2584839747758246277 T^{17} + 23160634996145947922 T^{18} - \)\(11\!\cdots\!78\)\( T^{19} + \)\(11\!\cdots\!96\)\( T^{20} - \)\(35\!\cdots\!85\)\( T^{21} + \)\(38\!\cdots\!33\)\( T^{22} - \)\(50\!\cdots\!71\)\( T^{23} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 + 13 T + 909 T^{2} + 10619 T^{3} + 399660 T^{4} + 4192016 T^{5} + 111664562 T^{6} + 1049739005 T^{7} + 22001910224 T^{8} + 184572841939 T^{9} + 3213928058406 T^{10} + 23874378565506 T^{11} + 356479471151649 T^{12} + 2315814720854082 T^{13} + 30239849101542054 T^{14} + 168454649370992947 T^{15} + 1947813292757268944 T^{16} + 9014466016979624285 T^{17} + 93013454088658626098 T^{18} + \)\(33\!\cdots\!08\)\( T^{19} + \)\(31\!\cdots\!60\)\( T^{20} + \)\(80\!\cdots\!23\)\( T^{21} + \)\(67\!\cdots\!41\)\( T^{22} + \)\(92\!\cdots\!89\)\( T^{23} + \)\(69\!\cdots\!41\)\( T^{24} \))(\( 1 - 23 T + 725 T^{2} - 11408 T^{3} + 224098 T^{4} - 2793230 T^{5} + 41901368 T^{6} - 415274078 T^{7} + 5095591937 T^{8} - 38237772108 T^{9} + 402889459893 T^{10} - 1768490206825 T^{11} + 18928181782076 T^{12} + 18318177648168 T^{13} + 831994608674812 T^{14} + 1776863231872296 T^{15} + 178095262387553084 T^{16} - 1614053262533593225 T^{17} + 35667514206805626933 T^{18} - \)\(32\!\cdots\!56\)\( T^{19} + \)\(42\!\cdots\!73\)\( T^{20} - \)\(33\!\cdots\!14\)\( T^{21} + \)\(32\!\cdots\!48\)\( T^{22} - \)\(21\!\cdots\!10\)\( T^{23} + \)\(16\!\cdots\!02\)\( T^{24} - \)\(81\!\cdots\!24\)\( T^{25} + \)\(50\!\cdots\!25\)\( T^{26} - \)\(15\!\cdots\!71\)\( T^{27} + \)\(65\!\cdots\!69\)\( T^{28} \))(\( 1 - 23 T + 725 T^{2} - 11408 T^{3} + 224098 T^{4} - 2793230 T^{5} + 41901368 T^{6} - 415274078 T^{7} + 5095591937 T^{8} - 38237772108 T^{9} + 402889459893 T^{10} - 1768490206825 T^{11} + 18928181782076 T^{12} + 18318177648168 T^{13} + 831994608674812 T^{14} + 1776863231872296 T^{15} + 178095262387553084 T^{16} - 1614053262533593225 T^{17} + 35667514206805626933 T^{18} - \)\(32\!\cdots\!56\)\( T^{19} + \)\(42\!\cdots\!73\)\( T^{20} - \)\(33\!\cdots\!14\)\( T^{21} + \)\(32\!\cdots\!48\)\( T^{22} - \)\(21\!\cdots\!10\)\( T^{23} + \)\(16\!\cdots\!02\)\( T^{24} - \)\(81\!\cdots\!24\)\( T^{25} + \)\(50\!\cdots\!25\)\( T^{26} - \)\(15\!\cdots\!71\)\( T^{27} + \)\(65\!\cdots\!69\)\( T^{28} \))(\( 1 + 3 T + 627 T^{2} + 2464 T^{3} + 205235 T^{4} + 966481 T^{5} + 46606109 T^{6} + 250233298 T^{7} + 8260841717 T^{8} + 48204496350 T^{9} + 1220378751821 T^{10} + 7404607701747 T^{11} + 156319166890829 T^{12} + 949668455511340 T^{13} + 17772397707910755 T^{14} + 105004232277145469 T^{15} + 1815235835119368212 T^{16} + 10185410530883110493 T^{17} + \)\(16\!\cdots\!95\)\( T^{18} + \)\(86\!\cdots\!20\)\( T^{19} + \)\(13\!\cdots\!49\)\( T^{20} + \)\(63\!\cdots\!79\)\( T^{21} + \)\(10\!\cdots\!09\)\( T^{22} + \)\(38\!\cdots\!50\)\( T^{23} + \)\(64\!\cdots\!37\)\( T^{24} + \)\(19\!\cdots\!66\)\( T^{25} + \)\(34\!\cdots\!41\)\( T^{26} + \)\(69\!\cdots\!93\)\( T^{27} + \)\(14\!\cdots\!35\)\( T^{28} + \)\(16\!\cdots\!28\)\( T^{29} + \)\(40\!\cdots\!63\)\( T^{30} + \)\(18\!\cdots\!79\)\( T^{31} + \)\(61\!\cdots\!21\)\( T^{32} \))(\( 1 + 3 T + 627 T^{2} + 2464 T^{3} + 205235 T^{4} + 966481 T^{5} + 46606109 T^{6} + 250233298 T^{7} + 8260841717 T^{8} + 48204496350 T^{9} + 1220378751821 T^{10} + 7404607701747 T^{11} + 156319166890829 T^{12} + 949668455511340 T^{13} + 17772397707910755 T^{14} + 105004232277145469 T^{15} + 1815235835119368212 T^{16} + 10185410530883110493 T^{17} + \)\(16\!\cdots\!95\)\( T^{18} + \)\(86\!\cdots\!20\)\( T^{19} + \)\(13\!\cdots\!49\)\( T^{20} + \)\(63\!\cdots\!79\)\( T^{21} + \)\(10\!\cdots\!09\)\( T^{22} + \)\(38\!\cdots\!50\)\( T^{23} + \)\(64\!\cdots\!37\)\( T^{24} + \)\(19\!\cdots\!66\)\( T^{25} + \)\(34\!\cdots\!41\)\( T^{26} + \)\(69\!\cdots\!93\)\( T^{27} + \)\(14\!\cdots\!35\)\( T^{28} + \)\(16\!\cdots\!28\)\( T^{29} + \)\(40\!\cdots\!63\)\( T^{30} + \)\(18\!\cdots\!79\)\( T^{31} + \)\(61\!\cdots\!21\)\( T^{32} \))
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