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Results (19 matches)

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Label Polynomial Discriminant Galois group Class group Regulator
21.19.113...127.1 $x^{21} - 21 x^{19} - 3 x^{18} + 186 x^{17} + 52 x^{16} - 900 x^{15} - 368 x^{14} + 2573 x^{13} + 1365 x^{12} - 4383 x^{11} - 2836 x^{10} + 4255 x^{9} + 3280 x^{8} - 2085 x^{7} - 1991 x^{6} + 349 x^{5} + 561 x^{4} + 46 x^{3} - 53 x^{2} - 14 x - 1$ $-\,7^{14}\cdot 1091\cdot 4703\cdot 17431\cdot 1870989140621$ $S_7\wr C_3$ (as 21T159) trivial $55101503556.2$
21.19.583...987.1 $x^{21} - 21 x^{19} - 3 x^{18} + 186 x^{17} + 51 x^{16} - 901 x^{15} - 354 x^{14} + 2589 x^{13} + 1292 x^{12} - 4479 x^{11} - 2667 x^{10} + 4522 x^{9} + 3132 x^{8} - 2424 x^{7} - 2000 x^{6} + 516 x^{5} + 612 x^{4} + 26 x^{3} - 63 x^{2} - 15 x - 1$ $-\,3^{28}\cdot 17^{2}\cdot 73\cdot 1207982452098121811$ $S_7\wr C_3$ (as 21T159) trivial $116894567994$
21.19.102...608.1 $x^{21} - 21 x^{19} - 3 x^{18} + 186 x^{17} + 52 x^{16} - 900 x^{15} - 368 x^{14} + 2573 x^{13} + 1365 x^{12} - 4384 x^{11} - 2838 x^{10} + 4261 x^{9} + 3295 x^{8} - 2089 x^{7} - 2019 x^{6} + 335 x^{5} + 569 x^{4} + 53 x^{3} - 52 x^{2} - 14 x - 1$ $-\,2^{14}\cdot 37^{7}\cdot 66045498523363396992439$ $S_7\wr C_3.C_2$ (as 21T162) trivial $1550000411400$
21.19.145...752.1 $x^{21} - 51 x^{19} - 28 x^{18} + 900 x^{17} + 792 x^{16} - 7128 x^{15} - 8658 x^{14} + 26442 x^{13} + 50482 x^{12} - 37872 x^{11} - 167574 x^{10} - 9596 x^{9} + 289188 x^{8} + 73785 x^{7} - 233564 x^{6} - 52848 x^{5} + 82296 x^{4} + 13584 x^{3} - 10656 x^{2} - 1152 x + 128$ $-\,2^{14}\cdot 3^{21}\cdot 7\cdot 71^{3}\cdot 149\cdot 283583^{3}$ $C_3^7.(C_2^7.S_7)$ (as 21T152) trivial $5210059439910$
21.19.200...040.1 $x^{21} - 21 x^{19} - 48 x^{18} + 189 x^{17} + 864 x^{16} - 793 x^{15} - 6480 x^{14} + 555 x^{13} + 25912 x^{12} + 8577 x^{11} - 58224 x^{10} - 36449 x^{9} + 69552 x^{8} + 63981 x^{7} - 33392 x^{6} - 50760 x^{5} - 5064 x^{4} + 13440 x^{3} + 6624 x^{2} + 1152 x + 64$ $-\,2^{24}\cdot 3^{21}\cdot 5\cdot 73^{12}$ $C_3^7.C_2\wr C_7:C_3$ (as 21T137) trivial $86970532834500$
21.19.994...208.1 $x^{21} - 96 x^{19} - 64 x^{18} + 3708 x^{17} + 4944 x^{16} - 72008 x^{15} - 147312 x^{14} + 698832 x^{13} + 2103616 x^{12} - 2446848 x^{11} - 14296320 x^{10} - 7753344 x^{9} + 36094464 x^{8} + 66183552 x^{7} + 16767744 x^{6} - 75575808 x^{5} - 115024896 x^{4} - 82130944 x^{3} - 33288192 x^{2} - 7397376 x - 704512$ $-\,2^{14}\cdot 3^{24}\cdot 43^{2}\cdot 197\cdot 8388019^{3}$ $C_3^7.(C_2^7.S_7)$ (as 21T152) trivial $145059252236000$
21.19.102...280.1 $x^{21} - 96 x^{19} - 64 x^{18} + 3636 x^{17} + 4848 x^{16} - 67504 x^{15} - 138240 x^{14} + 598608 x^{13} + 1821568 x^{12} - 1579392 x^{11} - 10586112 x^{10} - 8211520 x^{9} + 17296128 x^{8} + 38704512 x^{7} + 23209216 x^{6} - 13644288 x^{5} - 32320512 x^{4} - 24557568 x^{3} - 10063872 x^{2} - 2236416 x - 212992$ $-\,2^{14}\cdot 3^{21}\cdot 5\cdot 13^{2}\cdot 577^{9}$ $C_3^7:C_2\wr D_7$ (as 21T131) trivial $207477484906000$
21.19.104...504.1 $x^{21} - 54 x^{19} - 107 x^{18} + 1125 x^{17} + 4500 x^{16} - 8107 x^{15} - 67779 x^{14} - 36492 x^{13} + 407759 x^{12} + 726822 x^{11} - 648882 x^{10} - 2751741 x^{9} - 1664640 x^{8} + 2055372 x^{7} + 3207811 x^{6} + 1305252 x^{5} - 75792 x^{4} - 149384 x^{3} - 17568 x^{2} + 1632 x + 128$ $-\,2^{12}\cdot 3^{21}\cdot 11\cdot 23\cdot 149^{6}\cdot 211^{6}$ $C_3^7.(C_2^7.A_7)$ (as 21T151) trivial $4169129958300000$
21.19.427...928.1 $x^{21} - 66 x^{19} - 44 x^{18} + 1755 x^{17} + 2340 x^{16} - 23331 x^{15} - 48222 x^{14} + 149211 x^{13} + 476480 x^{12} - 237114 x^{11} - 2187516 x^{10} - 1872752 x^{9} + 3043296 x^{8} + 7287477 x^{7} + 4627874 x^{6} - 2062908 x^{5} - 5531544 x^{4} - 4256016 x^{3} - 1747872 x^{2} - 388416 x - 36992$ $-\,2^{14}\cdot 3^{21}\cdot 17^{2}\cdot 29^{18}\cdot 41$ $C_3^7:C_2\wr C_7$ (as 21T123) trivial $2603642192310000$
21.19.476...976.1 $x^{21} - 90 x^{19} - 48 x^{18} + 3114 x^{17} + 2736 x^{16} - 55436 x^{15} - 59544 x^{14} + 556140 x^{13} + 626528 x^{12} - 3161016 x^{11} - 3364128 x^{10} + 9540856 x^{9} + 9086400 x^{8} - 12948624 x^{7} - 11248992 x^{6} + 4643712 x^{5} + 5262720 x^{4} + 208896 x^{3} - 734976 x^{2} - 200448 x - 14848$ $-\,2^{38}\cdot 3^{21}\cdot 19\cdot 29^{2}\cdot 37\cdot 809^{6}$ $C_3^7.(C_2^7.\GL(3,2))$ (as 21T147) trivial $36491153706000000$
21.19.884...643.1 $x^{21} - 4 x^{20} - 14 x^{19} + 68 x^{18} + 66 x^{17} - 467 x^{16} - 71 x^{15} + 1678 x^{14} - 409 x^{13} - 3411 x^{12} + 1633 x^{11} + 3942 x^{10} - 2566 x^{9} - 2423 x^{8} + 2029 x^{7} + 621 x^{6} - 784 x^{5} + 17 x^{4} + 120 x^{3} - 22 x^{2} - 4 x + 1$ $-\,421\cdot 647\cdot 991\cdot 2843\cdot 53357069\cdot 21609969352347848780355937$ $S_{21}$ (as 21T164) trivial $4501728724140000$
21.19.148...376.1 $x^{21} - 63 x^{19} - 42 x^{18} + 1629 x^{17} + 2172 x^{16} - 21605 x^{15} - 44658 x^{14} + 144702 x^{13} + 458648 x^{12} - 307962 x^{11} - 2370636 x^{10} - 1613130 x^{9} + 4864824 x^{8} + 9505014 x^{7} + 2763308 x^{6} - 10171656 x^{5} - 15777936 x^{4} - 11303904 x^{3} - 4584384 x^{2} - 1018752 x - 97024$ $-\,2^{45}\cdot 3^{21}\cdot 379^{2}\cdot 809^{6}$ $C_3^7.(C_2^7.\GL(3,2))$ (as 21T147) trivial $298680868789000000$
21.19.376...008.1 $x^{21} - 66 x^{19} - 44 x^{18} + 1755 x^{17} + 2340 x^{16} - 23304 x^{15} - 48168 x^{14} + 149733 x^{13} + 477784 x^{12} - 261576 x^{11} - 2272800 x^{10} - 1756043 x^{9} + 3891348 x^{8} + 8255907 x^{7} + 3442422 x^{6} - 6481188 x^{5} - 11018952 x^{4} - 8015728 x^{3} - 3259872 x^{2} - 724416 x - 68992$ $-\,2^{14}\cdot 3^{45}\cdot 7^{4}\cdot 11^{2}\cdot 547^{6}$ $C_3^7.(C_2^7.A_7)$ (as 21T151) trivial $151124625332000000$
21.19.460...104.1 $x^{21} - 45 x^{19} - 30 x^{18} + 729 x^{17} + 972 x^{16} - 4266 x^{15} - 9180 x^{14} - 6687 x^{13} - 2872 x^{12} + 131652 x^{11} + 443208 x^{10} + 46436 x^{9} - 1786608 x^{8} - 2821416 x^{7} - 29552 x^{6} + 4752864 x^{5} + 6645312 x^{4} + 4669568 x^{3} + 1886976 x^{2} + 419328 x + 39936$ $-\,2^{15}\cdot 3^{23}\cdot 13^{2}\cdot 313^{12}$ $C_3^7.C_2\wr C_7:C_3$ (as 21T137) trivial $681712691863000000$
21.19.114...744.1 $x^{21} - 69 x^{19} - 46 x^{18} + 1899 x^{17} + 2532 x^{16} - 25913 x^{15} - 53514 x^{14} + 169821 x^{13} + 540064 x^{12} - 294975 x^{11} - 2566338 x^{10} - 2052556 x^{9} + 4115808 x^{8} + 9081111 x^{7} + 4512310 x^{6} - 5450004 x^{5} - 10192392 x^{4} - 7520688 x^{3} - 3066336 x^{2} - 681408 x - 64896$ $-\,2^{14}\cdot 3^{35}\cdot 13^{2}\cdot 587^{9}$ $C_3^7:C_2\wr D_7$ (as 21T131) trivial $527280603584000000$
21.19.331...739.1 $x^{21} - 4 x^{20} - 15 x^{19} + 72 x^{18} + 74 x^{17} - 512 x^{16} - 76 x^{15} + 1846 x^{14} - 486 x^{13} - 3645 x^{12} + 1761 x^{11} + 4038 x^{10} - 2481 x^{9} - 2456 x^{8} + 1759 x^{7} + 747 x^{6} - 642 x^{5} - 80 x^{4} + 111 x^{3} - 5 x^{2} - 7 x + 1$ $-\,26283423599\cdot 20591059981426849\cdot 6127839564275492002789$ $S_{21}$ (as 21T164) trivial $494301294769000000$
21.19.236...024.1 $x^{21} - 111 x^{19} - 74 x^{18} + 4833 x^{17} + 6444 x^{16} - 102315 x^{15} - 208926 x^{14} + 1011159 x^{13} + 3036896 x^{12} - 2555901 x^{11} - 17382342 x^{10} - 20116901 x^{9} + 1938204 x^{8} + 49891719 x^{7} + 140889166 x^{6} + 241923564 x^{5} + 257168664 x^{4} + 169404496 x^{3} + 67598496 x^{2} + 15021888 x + 1430656$ $-\,2^{21}\cdot 3^{21}\cdot 29^{18}\cdot 41\cdot 11177^{2}$ $C_3^7:C_2\wr C_7$ (as 21T123) trivial $18354462455100000000$
21.19.124...936.1 $x^{21} - 69 x^{19} - 46 x^{18} + 1944 x^{17} + 2592 x^{16} - 27918 x^{15} - 57564 x^{14} + 201627 x^{13} + 631480 x^{12} - 479007 x^{11} - 3445602 x^{10} - 2239627 x^{9} + 7429860 x^{8} + 14247297 x^{7} + 3841026 x^{6} - 15902028 x^{5} - 24390360 x^{4} - 17439440 x^{3} - 7070112 x^{2} - 1571136 x - 149632$ $-\,2^{42}\cdot 3^{39}\cdot 7^{2}\cdot 13^{15}\cdot 167^{2}$ $C_3^7.C_2\wr F_7$ (as 21T142) trivial $1276933808800000000000$
21.19.524...448.1 $x^{21} - 117 x^{19} - 78 x^{18} + 5481 x^{17} + 7308 x^{16} - 128865 x^{15} - 262602 x^{14} + 1530063 x^{13} + 4508112 x^{12} - 7197903 x^{11} - 37128834 x^{10} - 13019517 x^{9} + 120573468 x^{8} + 200437749 x^{7} + 9686586 x^{6} - 322807356 x^{5} - 455863032 x^{4} - 320959248 x^{3} - 129747744 x^{2} - 28832832 x - 2745984$ $-\,2^{39}\cdot 3^{41}\cdot 13^{15}\cdot 7151^{2}$ $C_3^7.C_2\wr F_7$ (as 21T142) trivial $3949442615580000000000$
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