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Label Polynomial Discriminant Galois group Class group Regulator
42.0.118...207.1 $x^{42} - x^{35} + x^{28} - x^{21} + x^{14} - x^{7} + 1$ $-\,7^{77}$ $C_{42}$ (as 42T1) $[43]$ $1776855897760068.5$
42.0.938...043.1 $x^{42} - x^{41} + x^{40} - x^{39} + x^{38} - x^{37} + x^{36} - x^{35} + x^{34} - x^{33} + x^{32} - x^{31} + x^{30} - x^{29} + x^{28} - x^{27} + x^{26} - x^{25} + x^{24} - x^{23} + x^{22} - x^{21} + x^{20} - x^{19} + x^{18} - x^{17} + x^{16} - x^{15} + x^{14} - x^{13} + x^{12} - x^{11} + x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1$ $-\,43^{41}$ $C_{42}$ (as 42T1) $[211]$ $2748021948787771.5$
42.0.148...423.1 $x^{42} - x + 1$ $-\,250460976091\cdot 2191665374655671317777039\cdot 27\!\cdots\!27$ $S_{42}$ (as 42T9491) not computed
42.2.151...705.1 $x^{42} - x - 1$ $5\cdot 3355730803775717\cdot 90\!\cdots\!73$ $S_{42}$ (as 42T9491) trivial $239179039607002720$
42.0.475...976.1 $x^{42} + 46 x^{40} + 825 x^{38} + 9020 x^{36} + 65490 x^{34} + 325184 x^{32} + 1115476 x^{30} + 2295041 x^{28} + 2315947 x^{26} - 2734559 x^{24} - 14848773 x^{22} - 6221636 x^{20} + 35462359 x^{18} - 4544065 x^{16} - 16428325 x^{14} + 5957296 x^{12} + 1133059 x^{10} - 497379 x^{8} - 50982 x^{6} + 12238 x^{4} + 1537 x^{2} + 29$ $-\,2^{42}\cdot 29^{39}$ $S_3\times C_7$ (as 42T6) not computed
42.0.157...864.1 $x^{42} - 2 x^{21} + 2$ $-\,2^{62}\cdot 3^{42}\cdot 7^{42}$ $D_6\times F_7$ (as 42T95) trivial $507894019142814700000$
42.0.176...003.1 $x^{42} + 21 x^{40} + 252 x^{38} + 2065 x^{36} - x^{35} + 12789 x^{34} - 7 x^{33} + 62181 x^{32} + 7 x^{31} + 244265 x^{30} + 574 x^{29} + 784101 x^{28} + 5341 x^{27} + 2075577 x^{26} + 29988 x^{25} + 4529364 x^{24} + 118188 x^{23} + 8142834 x^{22} + 346087 x^{21} + 11951541 x^{20} + 767956 x^{19} + 14210490 x^{18} + 1288070 x^{17} + 13430361 x^{16} + 1624252 x^{15} + 9960725 x^{14} + 1486219 x^{13} + 5587183 x^{12} + 983626 x^{11} + 2322670 x^{10} + 429093 x^{9} + 648396 x^{8} + 121077 x^{7} + 117649 x^{6} + 14763 x^{5} + 7399 x^{4} + 56 x^{3} + 245 x^{2} + 14 x + 1$ $-\,3^{21}\cdot 7^{76}$ $C_{42}$ (as 42T1) $[136619]$ $1776855897760068.5$
42.42.123...021.1 $x^{42} - 42 x^{40} + 819 x^{38} - 9842 x^{36} - x^{35} + 81585 x^{34} + 35 x^{33} - 494802 x^{32} - 560 x^{31} + 2272424 x^{30} + 5425 x^{29} - 8069424 x^{28} - 35525 x^{27} + 22428252 x^{26} + 166257 x^{25} - 49085400 x^{24} - 573300 x^{23} + 84672315 x^{22} + 1480051 x^{21} - 114717330 x^{20} - 2877896 x^{19} + 121090515 x^{18} + 4206314 x^{17} - 98285670 x^{16} - 4577216 x^{15} + 60174899 x^{14} + 3643150 x^{13} - 27041546 x^{12} - 2063243 x^{11} + 8580418 x^{10} + 798357 x^{9} - 1816836 x^{8} - 198948 x^{7} + 235249 x^{6} + 29211 x^{5} - 15974 x^{4} - 2170 x^{3} + 392 x^{2} + 56 x + 1$ $3^{21}\cdot 7^{77}$ $C_{42}$ (as 42T1) trivial $1966641158581684500000000$
42.0.124...123.1 $x^{42} + 3$ $-\,3^{83}\cdot 7^{42}$ $S_3\times F_7$ (as 42T45) trivial $2625406827600082000000$
42.0.228...203.1 $x^{42} - x^{41} + 21 x^{40} - 18 x^{39} + 248 x^{38} - 191 x^{37} + 1996 x^{36} - 1375 x^{35} + 12088 x^{34} - 7495 x^{33} + 57373 x^{32} - 31825 x^{31} + 219409 x^{30} - 108700 x^{29} + 684645 x^{28} - 300153 x^{27} + 1757705 x^{26} - 677756 x^{25} + 3715466 x^{24} - 1242500 x^{23} + 6455978 x^{22} - 1853597 x^{21} + 9148985 x^{20} - 2205194 x^{19} + 10469894 x^{18} - 2090336 x^{17} + 9505112 x^{16} - 1507895 x^{15} + 6709547 x^{14} - 839645 x^{13} + 3559478 x^{12} - 314951 x^{11} + 1368367 x^{10} - 93808 x^{9} + 355278 x^{8} - 10362 x^{7} + 58036 x^{6} - 2497 x^{5} + 4950 x^{4} + 165 x^{3} + 176 x^{2} - 11 x + 1$ $-\,3^{21}\cdot 43^{40}$ $C_{42}$ (as 42T1) $[179249]$ $2748021948787771.5$
42.0.742...504.1 $x^{42} + 42 x^{40} + 819 x^{38} + 9842 x^{36} + 81585 x^{34} + 494802 x^{32} + 2272424 x^{30} + 8069423 x^{28} + 22428224 x^{26} + 49085050 x^{24} + 84669739 x^{22} + 114704933 x^{20} + 121049551 x^{18} + 98190708 x^{16} + 60019861 x^{14} + 26865216 x^{12} + 8444436 x^{10} + 1749188 x^{8} + 215453 x^{6} + 13181 x^{4} + 294 x^{2} + 1$ $-\,2^{42}\cdot 7^{76}$ $C_{42}$ (as 42T1) $[1923461]$ $1776855897760068.5$
42.42.981...729.1 $x^{42} - x^{41} - 42 x^{40} + 42 x^{39} + 818 x^{38} - 818 x^{37} - 9803 x^{36} + 9803 x^{35} + 80884 x^{34} - 80884 x^{33} - 487103 x^{32} + 487103 x^{31} + 2214673 x^{30} - 2214673 x^{29} - 7756167 x^{28} + 7756167 x^{27} + 21159269 x^{26} - 21159269 x^{25} - 45176143 x^{24} + 45176143 x^{23} + 75433697 x^{22} - 75433697 x^{21} - 97942948 x^{20} + 97942948 x^{19} + 97804877 x^{18} - 97804877 x^{17} - 73850908 x^{16} + 73850908 x^{15} + 41150012 x^{14} - 41150012 x^{13} - 16350448 x^{12} + 16350448 x^{11} + 4413607 x^{10} - 4413607 x^{9} - 753918 x^{8} + 753918 x^{7} + 72886 x^{6} - 72886 x^{5} - 3267 x^{4} + 3267 x^{3} + 44 x^{2} - 44 x + 1$ $3^{21}\cdot 43^{41}$ $C_{42}$ (as 42T1) trivial $16535537450237775000000000$
42.42.519...528.1 $x^{42} - 42 x^{40} + 819 x^{38} - 9842 x^{36} + 81585 x^{34} - 494802 x^{32} + 2272424 x^{30} - 8069425 x^{28} + 22428280 x^{26} - 49085750 x^{24} + 84674891 x^{22} - 114729727 x^{20} + 121131479 x^{18} - 98380632 x^{16} + 60329941 x^{14} - 27217932 x^{12} + 8716708 x^{10} - 1885324 x^{8} + 256221 x^{6} - 19551 x^{4} + 686 x^{2} - 7$ $2^{42}\cdot 7^{77}$ $C_{42}$ (as 42T1) trivial $40972406918644810000000000$
42.0.959...104.1 $x^{42} + 41 x^{40} + 780 x^{38} + 9139 x^{36} + 73815 x^{34} + 435897 x^{32} + 1947792 x^{30} + 6724520 x^{28} + 18156204 x^{26} + 38567100 x^{24} + 64512240 x^{22} + 84672315 x^{20} + 86493225 x^{18} + 67863915 x^{16} + 40116600 x^{14} + 17383860 x^{12} + 5311735 x^{10} + 1081575 x^{8} + 134596 x^{6} + 8855 x^{4} + 231 x^{2} + 1$ $-\,2^{42}\cdot 43^{40}$ $C_{42}$ (as 42T1) $[2, 1878326]$ $2748021948787771.5$
42.2.585...728.1 $x^{42} - 2 x - 1$ $2^{43}\cdot 151\cdot 4132611804876851\cdot 111869437509421489132043\cdot 9532243245509920520310487$ $S_{42}$ (as 42T9491) not computed
42.0.636...560.1 $x^{42} - 4 x + 4$ $-\,2^{42}\cdot 5\cdot 14815048403\cdot 223886382998191\cdot 87\!\cdots\!11$ $S_{42}$ (as 42T9491) not computed
42.42.805...125.1 $x^{42} - 63 x^{40} + 1764 x^{38} - 29043 x^{36} - 29 x^{35} + 313845 x^{34} + 1295 x^{33} - 2356263 x^{32} - 24605 x^{31} + 12710649 x^{30} + 262360 x^{29} - 50338309 x^{28} - 1751015 x^{27} + 148468453 x^{26} + 7757582 x^{25} - 329114310 x^{24} - 23675820 x^{23} + 550880022 x^{22} + 50961633 x^{21} - 696364921 x^{20} - 78352652 x^{19} + 661675518 x^{18} + 86284422 x^{17} - 467756891 x^{16} - 67555180 x^{15} + 241883075 x^{14} + 36893815 x^{13} - 89215119 x^{12} - 13584956 x^{11} + 22638112 x^{10} + 3191321 x^{9} - 3752308 x^{8} - 437383 x^{7} + 374801 x^{6} + 29995 x^{5} - 19355 x^{4} - 798 x^{3} + 343 x^{2} + 14 x - 1$ $5^{21}\cdot 7^{76}$ $C_{42}$ (as 42T1) trivial $119589768703493500000000000$
42.42.412...472.1 $x^{42} - 43 x^{40} + 860 x^{38} - 10621 x^{36} + 90687 x^{34} - 567987 x^{32} + 2701776 x^{30} - 9970840 x^{28} + 28915436 x^{26} - 66335412 x^{24} + 120609840 x^{22} - 173376645 x^{20} + 195747825 x^{18} - 171655785 x^{16} + 115000920 x^{14} - 57500460 x^{12} + 20764055 x^{10} - 5167525 x^{8} + 826804 x^{6} - 76153 x^{4} + 3311 x^{2} - 43$ $2^{42}\cdot 43^{41}$ $C_{42}$ (as 42T1) not computed
42.0.563...875.1 $x^{42} + 42 x^{40} + 819 x^{38} + 9842 x^{36} - 29 x^{35} + 81585 x^{34} - 1015 x^{33} + 494802 x^{32} - 16240 x^{31} + 2272424 x^{30} - 157325 x^{29} + 8070266 x^{28} - 1030225 x^{27} + 22451828 x^{26} - 4821453 x^{25} + 49380100 x^{24} - 16625700 x^{23} + 86841307 x^{22} - 42945897 x^{21} + 125155604 x^{20} - 83971762 x^{19} + 155582203 x^{18} - 126598108 x^{17} + 178243674 x^{16} - 155985200 x^{15} + 191428385 x^{14} - 177440270 x^{13} + 185472266 x^{12} - 199822441 x^{11} + 177861992 x^{10} - 194249279 x^{9} + 208189352 x^{8} - 152082148 x^{7} + 226081541 x^{6} - 195873685 x^{5} + 141819720 x^{4} - 297986948 x^{3} + 34945918 x^{2} - 144775946 x + 599786069$ $-\,5^{21}\cdot 7^{77}$ $C_{42}$ (as 42T1) not computed
42.42.104...125.1 $x^{42} - x^{41} - 61 x^{40} + 56 x^{39} + 1654 x^{38} - 1379 x^{37} - 26380 x^{36} + 19735 x^{35} + 276302 x^{34} - 183047 x^{33} - 2012061 x^{32} + 1164081 x^{31} + 10536175 x^{30} - 5248100 x^{29} - 40536685 x^{28} + 17139885 x^{27} + 116229751 x^{26} - 41141876 x^{25} - 250648402 x^{24} + 73243022 x^{23} + 408521488 x^{22} - 97102633 x^{21} - 503598537 x^{20} + 95768202 x^{19} + 467783098 x^{18} - 69790048 x^{17} - 324502952 x^{16} + 37071837 x^{15} + 165565463 x^{14} - 14037193 x^{13} - 60679502 x^{12} + 3661307 x^{11} + 15419833 x^{10} - 625768 x^{9} - 2575782 x^{8} + 66132 x^{7} + 260062 x^{6} - 4477 x^{5} - 13750 x^{4} + 275 x^{3} + 286 x^{2} - 11 x - 1$ $5^{21}\cdot 43^{40}$ $C_{42}$ (as 42T1) not computed
42.2.170...328.1 $x^{42} - 4 x - 4$ $2^{42}\cdot 37\cdot 479\cdot 22037\cdot 3375017\cdot 4905809483\cdot 799858695525167\cdot 7513694603813636232170428411$ $S_{42}$ (as 42T9491) not computed
42.0.324...664.1 $x^{42} - 2 x + 2$ $-\,2^{42}\cdot 19\cdot 11483\cdot 457151\cdot 73\!\cdots\!33$ $S_{42}$ (as 42T9491) not computed
42.0.330...328.1 $x^{42} + 2$ $-\,2^{83}\cdot 3^{42}\cdot 7^{42}$ $D_6\times F_7$ (as 42T95) not computed
42.2.330...328.1 $x^{42} - 2$ $2^{83}\cdot 3^{42}\cdot 7^{42}$ $D_6\times F_7$ (as 42T95) not computed
42.2.335...992.1 $x^{42} - 2 x - 2$ $2^{42}\cdot 13\cdot 43\cdot 7237697\cdot 7281116753\cdot 16009936396480001782447\cdot 161984247228508288433890361$ $S_{42}$ (as 42T9491) not computed
42.42.496...469.1 $x^{42} - x^{41} - 67 x^{40} + 62 x^{39} + 1993 x^{38} - 1704 x^{37} - 34847 x^{36} + 27519 x^{35} + 399768 x^{34} - 291838 x^{33} - 3181854 x^{32} + 2151119 x^{31} + 18125561 x^{30} - 11376768 x^{29} - 75199314 x^{28} + 43948028 x^{27} + 229267037 x^{26} - 125109956 x^{25} - 515411960 x^{24} + 263200585 x^{23} + 854114535 x^{22} - 408541162 x^{21} - 1040280967 x^{20} + 465602383 x^{19} + 926307827 x^{18} - 386475878 x^{17} - 597992464 x^{16} + 230741151 x^{15} + 276295754 x^{14} - 97190872 x^{13} - 89602671 x^{12} + 28039534 x^{11} + 19807180 x^{10} - 5297092 x^{9} - 2853616 x^{8} + 611802 x^{7} + 248962 x^{6} - 38836 x^{5} - 11508 x^{4} + 1155 x^{3} + 217 x^{2} - 14 x - 1$ $7^{28}\cdot 29^{39}$ $C_{42}$ (as 42T1) trivial $1205750664686969300000000000$
42.0.447...375.1 $x^{42} - x^{41} + 44 x^{40} - 44 x^{39} + 904 x^{38} - 904 x^{37} + 11525 x^{36} - 11525 x^{35} + 102212 x^{34} - 102212 x^{33} + 670199 x^{32} - 670199 x^{31} + 3371975 x^{30} - 3371975 x^{29} + 13342815 x^{28} - 13342815 x^{27} + 42258251 x^{26} - 42258251 x^{25} + 108593663 x^{24} - 108593663 x^{23} + 229203503 x^{22} - 229203503 x^{21} + 402580148 x^{20} - 402580148 x^{19} + 598327973 x^{18} - 598327973 x^{17} + 769983758 x^{16} - 769983758 x^{15} + 884984678 x^{14} - 884984678 x^{13} + 942485138 x^{12} - 942485138 x^{11} + 963249193 x^{10} - 963249193 x^{9} + 968416718 x^{8} - 968416718 x^{7} + 969243522 x^{6} - 969243522 x^{5} + 969319675 x^{4} - 969319675 x^{3} + 969322986 x^{2} - 969322986 x + 969323029$ $-\,5^{21}\cdot 43^{41}$ $C_{42}$ (as 42T1) not computed
42.0.167...503.1 $x^{42} - x^{41} + 13 x^{40} - 18 x^{39} + 139 x^{38} - 250 x^{37} + 1451 x^{36} + 321 x^{35} + 11819 x^{34} + 7069 x^{33} + 101147 x^{32} + 34723 x^{31} + 906407 x^{30} - 143662 x^{29} + 2718926 x^{28} - 434521 x^{27} + 7093735 x^{26} - 1731307 x^{25} + 17818760 x^{24} - 17036040 x^{23} + 50814721 x^{22} - 44435389 x^{21} + 124550915 x^{20} - 97201554 x^{19} + 258557330 x^{18} - 191477895 x^{17} + 222793332 x^{16} - 183429282 x^{15} + 205234539 x^{14} - 104619060 x^{13} + 150123312 x^{12} + 66144604 x^{11} + 21062459 x^{10} + 5929237 x^{9} + 1586736 x^{8} + 394344 x^{7} + 106707 x^{6} + 17635 x^{5} + 2858 x^{4} + 449 x^{3} + 67 x^{2} + 9 x + 1$ $-\,7^{35}\cdot 29^{36}$ $C_{42}$ (as 42T1) not computed
42.0.506...267.1 $x^{42} - 16 x^{39} + 1066 x^{36} + 13384 x^{33} + 639480 x^{30} + 581064 x^{27} + 10535858 x^{24} - 25402305 x^{21} + 171805922 x^{18} - 184669454 x^{15} + 198189968 x^{12} + 3751640 x^{9} + 57337 x^{6} + 267 x^{3} + 1$ $-\,3^{63}\cdot 29^{36}$ $C_{42}$ (as 42T1) not computed
42.0.121...007.1 $x^{42} - x^{41} + 62 x^{40} - 55 x^{39} + 1885 x^{38} - 1493 x^{37} + 36890 x^{36} - 26096 x^{35} + 516884 x^{34} - 325868 x^{33} + 5474760 x^{32} - 3063183 x^{31} + 45214327 x^{30} - 22319399 x^{29} + 296463014 x^{28} - 128129100 x^{27} + 1558565095 x^{26} - 584173775 x^{25} + 6595257074 x^{24} - 2118905803 x^{23} + 22443263173 x^{22} - 6093288301 x^{21} + 61089146298 x^{20} - 13772999112 x^{19} + 131703790552 x^{18} - 24134677936 x^{17} + 221581028128 x^{16} - 32118789120 x^{15} + 284876509184 x^{14} - 31567940608 x^{13} + 271846162432 x^{12} - 21964134400 x^{11} + 184905250816 x^{10} - 10296512512 x^{9} + 84546772992 x^{8} - 2848260096 x^{7} + 23814799360 x^{6} - 531300352 x^{5} + 3554017280 x^{4} + 28835840 x^{3} + 213385216 x^{2} - 11534336 x + 2097152$ $-\,7^{21}\cdot 43^{40}$ $C_{42}$ (as 42T1) not computed
42.0.155...608.1 $x^{42} + 84 x^{40} + 3276 x^{38} + 78736 x^{36} + 1305360 x^{34} + 15833664 x^{32} + 145435136 x^{30} + 1032886144 x^{28} + 5741625344 x^{26} + 25131545600 x^{24} + 86701812736 x^{22} + 234915702784 x^{20} + 495818960896 x^{18} + 804378279936 x^{16} + 983365402624 x^{14} + 880319397888 x^{12} + 553414557696 x^{10} + 229269569536 x^{8} + 56479711232 x^{6} + 6910640128 x^{4} + 308281344 x^{2} + 2097152$ $-\,2^{63}\cdot 7^{76}$ $C_{42}$ (as 42T1) not computed
42.42.155...608.1 $x^{42} - 84 x^{40} + 3276 x^{38} - 78736 x^{36} + 1305360 x^{34} - 15833664 x^{32} + 145435136 x^{30} - 1032886144 x^{28} + 5741625344 x^{26} - 25131545600 x^{24} + 86701812736 x^{22} - 234915702784 x^{20} + 495818960896 x^{18} - 804378279936 x^{16} + 983365402624 x^{14} - 880319397888 x^{12} + 553414557696 x^{10} - 229269569536 x^{8} + 56479711232 x^{6} - 6910640128 x^{4} + 308281344 x^{2} - 2097152$ $2^{63}\cdot 7^{76}$ $C_{42}$ (as 42T1) trivial $31575205777918616000000000000$
42.42.565...149.1 $x^{42} - 81 x^{40} - 4 x^{39} + 2925 x^{38} + 276 x^{37} - 62221 x^{36} - 8388 x^{35} + 868038 x^{34} + 148164 x^{33} - 8369604 x^{32} - 1690536 x^{31} + 57288192 x^{30} + 13101552 x^{29} - 281708427 x^{28} - 70649728 x^{27} + 997233012 x^{26} + 267447468 x^{25} - 2528669823 x^{24} - 709905600 x^{23} + 4548805662 x^{22} + 1311105276 x^{21} - 5738345406 x^{20} - 1666490856 x^{19} + 5023839240 x^{18} + 1442807064 x^{17} - 3028872840 x^{16} - 846440256 x^{15} + 1246931667 x^{14} + 334448784 x^{13} - 345422658 x^{12} - 87695253 x^{11} + 62698236 x^{10} + 14793089 x^{9} - 7127757 x^{8} - 1516980 x^{7} + 472108 x^{6} + 85806 x^{5} - 16338 x^{4} - 2275 x^{3} + 252 x^{2} + 21 x - 1$ $3^{56}\cdot 29^{39}$ $C_{42}$ (as 42T1) trivial $43619585644836630000000000000$
42.0.109...256.1 $x^{42} + 84 x^{40} + 3276 x^{38} + 78736 x^{36} + 1305360 x^{34} + 15833664 x^{32} + 145435136 x^{30} + 1032886400 x^{28} + 5741639680 x^{26} + 25131904000 x^{24} + 86707088384 x^{22} + 234966480896 x^{20} + 496154537984 x^{18} + 805934137344 x^{16} + 988445753344 x^{14} + 891877195776 x^{12} + 571258175488 x^{10} + 247113187328 x^{8} + 67166797824 x^{6} + 10250354688 x^{4} + 719323136 x^{2} + 14680064$ $-\,2^{63}\cdot 7^{77}$ $C_{42}$ (as 42T1) not computed
42.42.109...256.1 $x^{42} - 84 x^{40} + 3276 x^{38} - 78736 x^{36} + 1305360 x^{34} - 15833664 x^{32} + 145435136 x^{30} - 1032886400 x^{28} + 5741639680 x^{26} - 25131904000 x^{24} + 86707088384 x^{22} - 234966480896 x^{20} + 496154537984 x^{18} - 805934137344 x^{16} + 988445753344 x^{14} - 891877195776 x^{12} + 571258175488 x^{10} - 247113187328 x^{8} + 67166797824 x^{6} - 10250354688 x^{4} + 719323136 x^{2} - 14680064$ $2^{63}\cdot 7^{77}$ $C_{42}$ (as 42T1) not computed
42.2.155...125.1 $x^{42} - 5$ $3^{42}\cdot 5^{41}\cdot 7^{42}$ $D_6\times F_7$ (as 42T95) not computed
42.0.201...808.1 $x^{42} + 82 x^{40} + 3120 x^{38} + 73112 x^{36} + 1181040 x^{34} + 13948704 x^{32} + 124658688 x^{30} + 860738560 x^{28} + 4647988224 x^{26} + 19746355200 x^{24} + 66060533760 x^{22} + 173408901120 x^{20} + 354276249600 x^{18} + 555941191680 x^{16} + 657270374400 x^{14} + 569634324480 x^{12} + 348109864960 x^{10} + 141764198400 x^{8} + 35283533824 x^{6} + 4642570240 x^{4} + 242221056 x^{2} + 2097152$ $-\,2^{63}\cdot 43^{40}$ $C_{42}$ (as 42T1) not computed
42.42.201...808.1 $x^{42} - 82 x^{40} + 3120 x^{38} - 73112 x^{36} + 1181040 x^{34} - 13948704 x^{32} + 124658688 x^{30} - 860738560 x^{28} + 4647988224 x^{26} - 19746355200 x^{24} + 66060533760 x^{22} - 173408901120 x^{20} + 354276249600 x^{18} - 555941191680 x^{16} + 657270374400 x^{14} - 569634324480 x^{12} + 348109864960 x^{10} - 141764198400 x^{8} + 35283533824 x^{6} - 4642570240 x^{4} + 242221056 x^{2} - 2097152$ $2^{63}\cdot 43^{40}$ $C_{42}$ (as 42T1) not computed
42.42.523...301.1 $x^{42} - x^{41} - 85 x^{40} + 85 x^{39} + 3355 x^{38} - 3355 x^{37} - 81613 x^{36} + 81613 x^{35} + 1369379 x^{34} - 1369379 x^{33} - 16806205 x^{32} + 16806205 x^{31} + 156107459 x^{30} - 156107459 x^{29} - 1120160061 x^{28} + 1120160061 x^{27} + 6282191555 x^{26} - 6282191555 x^{25} - 27681539389 x^{24} + 27681539389 x^{23} + 95822936771 x^{22} - 95822936771 x^{21} - 259252432189 x^{20} + 259252432189 x^{19} + 542530659011 x^{18} - 542530659011 x^{17} - 863673531709 x^{16} + 863673531709 x^{15} + 1020501541571 x^{14} - 1020501541571 x^{13} - 863673531709 x^{12} + 863673531709 x^{11} + 497119576771 x^{10} - 497119576771 x^{9} - 180198260029 x^{8} + 180198260029 x^{7} + 36543447747 x^{6} - 36543447747 x^{5} - 3382656317 x^{4} + 3382656317 x^{3} + 89178819 x^{2} - 89178819 x - 998717$ $7^{21}\cdot 43^{41}$ $C_{42}$ (as 42T1) not computed
42.0.865...744.1 $x^{42} + 86 x^{40} + 3440 x^{38} + 84968 x^{36} + 1450992 x^{34} + 18175584 x^{32} + 172913664 x^{30} + 1276267520 x^{28} + 7402351616 x^{26} + 33963730944 x^{24} + 123504476160 x^{22} + 355075368960 x^{20} + 801783091200 x^{18} + 1406204190720 x^{16} + 1884175073280 x^{14} + 1884175073280 x^{12} + 1360793108480 x^{10} + 677317836800 x^{8} + 216741707776 x^{6} + 39926104064 x^{4} + 3471835136 x^{2} + 90177536$ $-\,2^{63}\cdot 43^{41}$ $C_{42}$ (as 42T1) not computed
42.42.865...744.1 $x^{42} - 86 x^{40} + 3440 x^{38} - 84968 x^{36} + 1450992 x^{34} - 18175584 x^{32} + 172913664 x^{30} - 1276267520 x^{28} + 7402351616 x^{26} - 33963730944 x^{24} + 123504476160 x^{22} - 355075368960 x^{20} + 801783091200 x^{18} - 1406204190720 x^{16} + 1884175073280 x^{14} - 1884175073280 x^{12} + 1360793108480 x^{10} - 677317836800 x^{8} + 216741707776 x^{6} - 39926104064 x^{4} + 3471835136 x^{2} - 90177536$ $2^{63}\cdot 43^{41}$ $C_{42}$ (as 42T1) not computed
42.0.124...811.1 $x^{42} - 21 x^{41} + 231 x^{40} - 1750 x^{39} + 10395 x^{38} - 52269 x^{37} + 233611 x^{36} - 952918 x^{35} + 3599785 x^{34} - 12710201 x^{33} + 42287014 x^{32} - 133370664 x^{31} + 400618099 x^{30} - 1149584975 x^{29} + 3160451592 x^{28} - 8341179427 x^{27} + 21174580693 x^{26} - 51755274760 x^{25} + 121953514697 x^{24} - 277155797093 x^{23} + 608007380806 x^{22} - 1287295716241 x^{21} + 2631847521996 x^{20} - 5192066875520 x^{19} + 9886990587068 x^{18} - 18146977046303 x^{17} + 32112635555588 x^{16} - 54655115299659 x^{15} + 89504829240548 x^{14} - 140479267770793 x^{13} + 211514505374151 x^{12} - 303526580264439 x^{11} + 416119886096880 x^{10} - 538840804150264 x^{9} + 662937764461147 x^{8} - 758558920220686 x^{7} + 819087800747125 x^{6} - 798550011094073 x^{5} + 729734808064227 x^{4} - 562691756062212 x^{3} + 407486767661645 x^{2} - 201294019183845 x + 99519182315771$ $-\,7^{76}\cdot 11^{21}$ $C_{42}$ (as 42T1) not computed
42.2.145...905.1 $x^{42} - 3 x + 1$ $3^{42}\cdot 5\cdot 277\cdot 9883\cdot 24851\cdot 5267491\cdot 28880594132963764921\cdot 25718507492700353234963282659$ $S_{42}$ (as 42T9491) not computed
42.0.180...927.1 $x^{42} - x^{41} + 2 x^{40} + 80 x^{39} - 73 x^{38} + 139 x^{37} + 2635 x^{36} - 2181 x^{35} + 3934 x^{34} + 46702 x^{33} - 34779 x^{32} + 59013 x^{31} + 489577 x^{30} - 325107 x^{29} + 514966 x^{28} + 3148122 x^{27} - 1839378 x^{26} + 2684924 x^{25} + 12529404 x^{24} - 6257436 x^{23} + 8056643 x^{22} + 30745048 x^{21} - 12383236 x^{20} + 11933159 x^{19} + 46384476 x^{18} - 13840937 x^{17} + 3649186 x^{16} + 41025120 x^{15} - 8138959 x^{14} - 9679906 x^{13} + 28379769 x^{12} - 8357477 x^{11} + 3513515 x^{10} + 45545418 x^{9} - 12952087 x^{8} + 8843411 x^{7} + 29858262 x^{6} - 8807791 x^{5} + 14296232 x^{4} - 4154414 x^{3} - 181830 x^{2} + 2389098 x + 733913$ $-\,127^{41}$ $C_{42}$ (as 42T1) $[1528865]$ $418513668789608050000$
42.0.213...363.1 $x^{42} - 4 x^{41} + 62 x^{40} - 200 x^{39} + 2132 x^{38} - 6208 x^{37} + 46584 x^{36} - 115568 x^{35} + 701352 x^{34} - 1537594 x^{33} + 7769821 x^{32} - 14875116 x^{31} + 64656220 x^{30} - 109927490 x^{29} + 414171141 x^{28} - 618138014 x^{27} + 2041345075 x^{26} - 2683015728 x^{25} + 7816607585 x^{24} - 8902561137 x^{23} + 22976431713 x^{22} - 22760113866 x^{21} + 52536783259 x^{20} - 45434427911 x^{19} + 92226880868 x^{18} - 71336683352 x^{17} + 125874997329 x^{16} - 89801104142 x^{15} + 131144820279 x^{14} - 89289000509 x^{13} + 106600416700 x^{12} - 67935846970 x^{11} + 65774842016 x^{10} - 38731708226 x^{9} + 30551737937 x^{8} - 15767508635 x^{7} + 9878705051 x^{6} - 4297296085 x^{5} + 2147704850 x^{4} - 731044046 x^{3} + 251922248 x^{2} - 47762400 x + 8082649$ $-\,3^{21}\cdot 7^{28}\cdot 29^{36}$ $C_{42}$ (as 42T1) not computed
42.0.409...667.1 $x^{42} - x^{41} + 20 x^{40} - 25 x^{39} - 8 x^{38} - 138 x^{37} - 2077 x^{36} + 839 x^{35} - 7305 x^{34} + 8805 x^{33} + 67596 x^{32} - 12107 x^{31} + 444232 x^{30} - 141646 x^{29} + 238560 x^{28} + 2150502 x^{27} - 3285732 x^{26} + 14361861 x^{25} - 708679 x^{24} + 4004385 x^{23} + 63920534 x^{22} - 73366557 x^{21} + 232544983 x^{20} + 114300646 x^{19} + 134380032 x^{18} + 644451241 x^{17} - 110366019 x^{16} + 50739485 x^{15} + 3000292231 x^{14} - 3874326960 x^{13} + 7531027885 x^{12} - 11845394651 x^{11} + 8115584321 x^{10} - 10398559445 x^{9} + 11442787794 x^{8} - 3901741530 x^{7} + 3575301015 x^{6} - 3614499453 x^{5} - 715331685 x^{4} + 331663193 x^{3} + 2507361126 x^{2} - 1452650295 x + 649728353$ $-\,7^{35}\cdot 29^{39}$ $C_{42}$ (as 42T1) not computed
42.42.776...312.1 $x^{42} - 105 x^{40} + 4977 x^{38} - 140819 x^{36} - 2 x^{35} + 2650095 x^{34} + 28 x^{33} - 34991649 x^{32} + 3416 x^{31} + 333300632 x^{30} - 147910 x^{29} - 2319579309 x^{28} + 2698850 x^{27} + 11820066804 x^{26} - 26976474 x^{25} - 43812582639 x^{24} + 153194076 x^{23} + 116368453593 x^{22} - 445815310 x^{21} - 216225058245 x^{20} + 272316800 x^{19} + 271556250546 x^{18} + 1986860386 x^{17} - 220004406804 x^{16} - 5445985720 x^{15} + 108239023559 x^{14} + 5365080098 x^{13} - 29954210552 x^{12} - 2176838734 x^{11} + 4303639312 x^{10} + 340937478 x^{9} - 323375283 x^{8} - 25471098 x^{7} + 12576760 x^{6} + 955878 x^{5} - 232127 x^{4} - 16898 x^{3} + 1505 x^{2} + 112 x + 1$ $2^{42}\cdot 3^{21}\cdot 7^{76}$ $C_{42}$ (as 42T1) not computed
42.42.874...677.1 $x^{42} - 126 x^{40} + 7371 x^{38} - 265734 x^{36} - 83 x^{35} + 6608385 x^{34} + 8715 x^{33} - 120236886 x^{32} - 418320 x^{31} + 1656597096 x^{30} + 12157425 x^{29} - 17647825586 x^{28} - 238834575 x^{27} + 147151366404 x^{26} + 3353237433 x^{25} - 966133116900 x^{24} - 34688663100 x^{23} + 4999488494931 x^{22} + 268659947305 x^{21} - 20317109311296 x^{20} - 1567171092690 x^{19} + 64305659489211 x^{18} + 6871145069880 x^{17} - 156373597496214 x^{16} - 22423210892208 x^{15} + 286220369519701 x^{14} + 53473028777910 x^{13} - 382576512454206 x^{12} - 90465142642875 x^{11} + 356767740698292 x^{10} + 103652112041415 x^{9} - 215794576784304 x^{8} - 74585905238228 x^{7} + 74443140953685 x^{6} + 29468446974645 x^{5} - 11170399688028 x^{4} - 4811855646528 x^{3} + 319923920106 x^{2} + 140495689782 x - 11523307067$ $7^{77}\cdot 11^{21}$ $C_{42}$ (as 42T1) not computed
42.0.123...863.1 $x^{42} + 6 x^{40} - 4 x^{39} - 207 x^{38} - 72 x^{37} - 857 x^{36} + 225 x^{35} + 13524 x^{34} + 4498 x^{33} + 47646 x^{32} - 1779 x^{31} - 319728 x^{30} + 56511 x^{29} - 873558 x^{28} + 1268358 x^{27} + 3182931 x^{26} - 287550 x^{25} + 12585242 x^{24} - 25238916 x^{23} + 37767705 x^{22} + 35532417 x^{21} + 14671665 x^{20} + 387146580 x^{19} - 33604015 x^{18} + 83426931 x^{17} + 893018691 x^{16} - 978644267 x^{15} + 2536898589 x^{14} + 320653281 x^{13} + 1627927205 x^{12} + 1198131426 x^{11} - 1595121042 x^{10} - 2227675498 x^{9} - 1701355491 x^{8} - 2415610293 x^{7} - 905477771 x^{6} + 53305794 x^{5} + 1490523864 x^{4} + 2070850257 x^{3} + 1799361396 x^{2} + 662562267 x + 198529417$ $-\,3^{63}\cdot 29^{39}$ $C_{42}$ (as 42T1) not computed
42.0.161...211.1 $x^{42} - 19 x^{41} + 193 x^{40} - 1368 x^{39} + 7730 x^{38} - 37504 x^{37} + 163424 x^{36} - 653089 x^{35} + 2424227 x^{34} - 8429227 x^{33} + 27684879 x^{32} - 86328882 x^{31} + 256735509 x^{30} - 730024655 x^{29} + 1991090346 x^{28} - 5216701163 x^{27} + 13158377790 x^{26} - 31970357867 x^{25} + 74948907297 x^{24} - 169511696295 x^{23} + 370383530887 x^{22} - 781186383780 x^{21} + 1592472532020 x^{20} - 3132457376500 x^{19} + 5954059663605 x^{18} - 10905928130092 x^{17} + 19286342092183 x^{16} - 32785066852903 x^{15} + 53727191837034 x^{14} - 84287557742257 x^{13} + 127210697307990 x^{12} - 182579457912758 x^{11} + 251464793643596 x^{10} - 325756069207898 x^{9} + 403964380869043 x^{8} - 462110196994188 x^{7} + 505689982566923 x^{6} - 491465579236069 x^{5} + 459935510967285 x^{4} - 350571727520514 x^{3} + 266244504765895 x^{2} - 126760076648507 x + 70799148954451$ $-\,11^{21}\cdot 43^{40}$ $C_{42}$ (as 42T1) not computed
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