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Label Polynomial Discriminant Galois group Class group Regulator
7.7.1817487424.1 $x^{7} - 8 x^{5} - 2 x^{4} + 16 x^{3} + 6 x^{2} - 6 x - 2$ $2^{6}\cdot 73^{4}$ $C_7:C_3$ (as 7T3) trivial $346.793700867$
7.7.9597924961.1 $x^{7} - x^{6} - 15 x^{5} + 20 x^{4} + 33 x^{3} - 22 x^{2} - 32 x - 8$ $313^{4}$ $C_7:C_3$ (as 7T3) trivial $1193.62536712$
7.7.18078415936.1 $x^{7} - 14 x^{5} + 56 x^{3} - 56 x - 22$ $2^{6}\cdot 7^{10}$ $C_7:C_3$ (as 7T3) trivial $1815.54779742$
7.7.100367308864.1 $x^{7} - 2 x^{6} - 14 x^{5} + 4 x^{4} + 30 x^{3} + 8 x^{2} - 6 x - 2$ $2^{6}\cdot 199^{4}$ $C_7:C_3$ (as 7T3) trivial $3541.87067755$
7.7.272225149504.1 $x^{7} - 3 x^{6} - 15 x^{5} + 39 x^{4} + 43 x^{3} - 133 x^{2} + 63 x - 7$ $2^{6}\cdot 7^{4}\cdot 11^{6}$ $C_7:C_3$ (as 7T3) trivial $9516.2919469$
7.7.387790161984.1 $x^{7} - 18 x^{5} - 18 x^{4} + 60 x^{3} + 96 x^{2} + 44 x + 6$ $2^{6}\cdot 3^{8}\cdot 31^{4}$ $C_7:C_3$ (as 7T3) trivial $13908.2008402$
7.7.525346636864.1 $x^{7} - x^{6} - 25 x^{5} + 49 x^{4} + 131 x^{3} - 415 x^{2} + 281 x + 7$ $2^{6}\cdot 7^{4}\cdot 43^{4}$ $C_7:C_3$ (as 7T3) trivial $9604.83873841$
7.7.591559418641.1 $x^{7} - 2 x^{6} - 20 x^{5} + 34 x^{4} + 107 x^{3} - 166 x^{2} - 119 x + 138$ $877^{4}$ $C_7:C_3$ (as 7T3) trivial $13548.3634132$
7.7.1624709678881.1 $x^{7} - x^{6} - 27 x^{5} - 14 x^{4} + 159 x^{3} + 164 x^{2} - 108 x - 40$ $1129^{4}$ $C_7:C_3$ (as 7T3) trivial $23932.3437186$
7.7.1688107729984.1 $x^{7} - x^{6} - 25 x^{5} + 15 x^{4} + 181 x^{3} - 37 x^{2} - 311 x - 121$ $2^{6}\cdot 13^{4}\cdot 31^{4}$ $C_7:C_3$ (as 7T3) trivial $16422.5599284$
7.7.2420662999104.1 $x^{7} - 42 x^{5} - 56 x^{4} + 126 x^{3} + 168 x^{2} - 98 x - 126$ $2^{6}\cdot 3^{8}\cdot 7^{8}$ $C_7:C_3$ (as 7T3) trivial $37308.8975207$
7.7.2528484794641.1 $x^{7} - 2 x^{6} - 20 x^{5} + 29 x^{4} + 119 x^{3} - 91 x^{2} - 234 x + 13$ $13^{4}\cdot 97^{4}$ $C_7:C_3$ (as 7T3) trivial $10253.067798$
7.7.5323914784321.1 $x^{7} - 28 x^{5} - 14 x^{4} + 196 x^{3} + 112 x^{2} - 364 x - 229$ $7^{8}\cdot 31^{4}$ $C_7:C_3$ (as 7T3) trivial $25011.4574922$
7.7.5482378736704.1 $x^{7} - x^{6} - 27 x^{5} + 7 x^{4} + 219 x^{3} + 83 x^{2} - 495 x - 409$ $2^{6}\cdot 541^{4}$ $C_7:C_3$ (as 7T3) trivial $30666.8796637$
7.7.6029426229121.1 $x^{7} - 3 x^{6} - 32 x^{5} + 4 x^{4} + 179 x^{3} + 89 x^{2} - 231 x - 145$ $1567^{4}$ $C_7:C_3$ (as 7T3) trivial $47083.2701526$
7.7.10537502807104.1 $x^{7} - 28 x^{5} - 28 x^{4} + 182 x^{3} + 238 x^{2} - 266 x - 374$ $2^{6}\cdot 7^{8}\cdot 13^{4}$ $C_7:C_3$ (as 7T3) trivial $59419.6554275$
7.7.10804165206961.1 $x^{7} - 35 x^{5} - 70 x^{4} + 84 x^{3} + 196 x^{2} - 49 x - 134$ $7^{8}\cdot 37^{4}$ $C_7:C_3$ (as 7T3) trivial $51196.0969778$
7.7.11239665258721.1 $x^{7} - 2 x^{6} - 45 x^{5} + 23 x^{4} + 679 x^{3} + 384 x^{2} - 3372 x - 4399$ $1831^{4}$ $C_7:C_3$ (as 7T3) trivial $20029.228234$
7.7.13603763435584.1 $x^{7} - 2 x^{6} - 36 x^{5} + 66 x^{4} + 166 x^{3} - 92 x^{2} - 116 x + 50$ $2^{6}\cdot 7^{4}\cdot 97^{4}$ $C_7:C_3$ (as 7T3) trivial $56977.7595127$
7.7.15588038452561.1 $x^{7} - x^{6} - 47 x^{5} + 517 x^{3} + 506 x^{2} - 376 x - 168$ $1987^{4}$ $C_7:C_3$ (as 7T3) trivial $82013.4593856$
7.7.20161545805921.1 $x^{7} - 3 x^{6} - 38 x^{5} + 52 x^{4} + 351 x^{3} - 168 x^{2} - 321 x - 17$ $13^{4}\cdot 163^{4}$ $C_7:C_3$ (as 7T3) trivial $34216.2535877$
7.7.22747786847296.1 $x^{7} - x^{6} - 39 x^{5} + 75 x^{4} + 55 x^{3} - 123 x^{2} + 19 x + 9$ $2^{6}\cdot 7^{4}\cdot 23^{6}$ $C_7:C_3$ (as 7T3) trivial $93878.8391008$
7.7.24551549322304.1 $x^{7} - 2 x^{6} - 46 x^{5} + 184 x^{4} - 224 x^{3} + 68 x^{2} + 20 x - 2$ $2^{6}\cdot 787^{4}$ $C_7:C_3$ (as 7T3) trivial $55577.6084602$
7.7.26226371926561.1 $x^{7} - x^{6} - 41 x^{5} + 39 x^{4} + 496 x^{3} - 434 x^{2} - 1643 x + 961$ $31^{4}\cdot 73^{4}$ $C_7:C_3$ (as 7T3) trivial $88442.985189$
7.7.35271352782961.1 $x^{7} - 3 x^{6} - 54 x^{5} + 27 x^{4} + 809 x^{3} + 1563 x^{2} + 740 x - 171$ $2437^{4}$ $C_7:C_3$ (as 7T3) trivial $135074.477609$
7.7.35698940069881.1 $x^{7} - 3 x^{6} - 59 x^{5} + 83 x^{4} + 791 x^{3} - 507 x^{2} - 2555 x - 722$ $11^{6}\cdot 67^{4}$ $C_7:C_3$ (as 7T3) trivial $58979.9488235$
7.7.42748699986001.1 $x^{7} - 2 x^{6} - 47 x^{5} + 47 x^{4} + 430 x^{3} - 216 x^{2} - 200 x + 96$ $2557^{4}$ $C_7:C_3$ (as 7T3) trivial $139632.45493$
7.7.48081576391744.1 $x^{7} - 70 x^{5} - 42 x^{4} + 1316 x^{3} + 1428 x^{2} - 2912 x - 1940$ $2^{6}\cdot 7^{8}\cdot 19^{4}$ $C_7:C_3$ (as 7T3) trivial $74888.0955702$
7.7.58280536320561.1 $x^{7} - 3 x^{6} - 36 x^{5} + 143 x^{4} + 204 x^{3} - 1476 x^{2} + 1800 x - 432$ $3^{8}\cdot 307^{4}$ $C_7:C_3$ (as 7T3) trivial $211240.508114$
7.7.79818518042641.1 $x^{7} - 56 x^{5} - 42 x^{4} + 777 x^{3} + 1197 x^{2} + 455 x + 9$ $7^{8}\cdot 61^{4}$ $C_7:C_3$ (as 7T3) trivial $59355.338667$
7.7.90812685325761.1 $x^{7} - 42 x^{5} - 70 x^{4} + 168 x^{3} + 126 x^{2} - 84 x - 45$ $3^{8}\cdot 7^{12}$ $C_7:C_3$ (as 7T3) trivial $404679.433569$
7.7.91402930798144.1 $x^{7} - 2 x^{6} - 48 x^{5} - 60 x^{4} + 100 x^{3} + 132 x^{2} + 4 x - 12$ $2^{6}\cdot 7^{4}\cdot 29^{6}$ $C_7:C_3$ (as 7T3) $[7]$ $28128.2395665$
7.7.107103643129921.1 $x^{7} - 2 x^{6} - 43 x^{5} + 9 x^{4} + 527 x^{3} + 614 x^{2} - 488 x - 248$ $3217^{4}$ $C_7:C_3$ (as 7T3) trivial $136530.255529$
7.7.156750600320064.1 $x^{7} - 30 x^{5} - 22 x^{4} + 252 x^{3} + 252 x^{2} - 636 x - 684$ $2^{6}\cdot 3^{8}\cdot 139^{4}$ $C_7:C_3$ (as 7T3) trivial $348111.474798$
7.7.162614549665681.1 $x^{7} - x^{6} - 38 x^{5} + 87 x^{4} + 236 x^{3} - 772 x^{2} + 392 x + 96$ $3571^{4}$ $C_7:C_3$ (as 7T3) trivial $306395.598289$
7.7.270595393646656.1 $x^{7} - x^{6} - 39 x^{5} - 17 x^{4} + 331 x^{3} + 291 x^{2} - 441 x - 83$ $2^{6}\cdot 13^{4}\cdot 23^{6}$ $C_7:C_3$ (as 7T3) trivial $277525.070002$
7.7.316838611601521.1 $x^{7} - x^{6} - 45 x^{5} - 37 x^{4} + 267 x^{3} + 59 x^{2} - 287 x - 80$ $4219^{4}$ $C_7:C_3$ (as 7T3) trivial $961298.251359$
7.7.354452954340241.1 $x^{7} - 2 x^{6} - 64 x^{5} + 271 x^{4} + 326 x^{3} - 3242 x^{2} + 5176 x - 2281$ $4339^{4}$ $C_7:C_3$ (as 7T3) $[4]$ $29721.3812455$
7.7.394259782912576.1 $x^{7} - x^{6} - 63 x^{5} + 89 x^{4} + 1203 x^{3} - 1951 x^{2} - 7145 x + 12679$ $2^{6}\cdot 7^{4}\cdot 37^{6}$ $C_7:C_3$ (as 7T3) trivial $479900.742126$
7.7.500422134593689.1 $x^{7} - 77 x^{5} + 1694 x^{3} - 9317 x - 8228$ $7^{10}\cdot 11^{6}$ $C_7:C_3$ (as 7T3) trivial $416880.805487$
7.7.523361201113921.1 $x^{7} - 47 x^{5} - 9 x^{4} + 529 x^{3} + 392 x^{2} - 1115 x - 1079$ $4783^{4}$ $C_7:C_3$ (as 7T3) trivial $199659.43561$
7.7.971365931561536.1 $x^{7} - 3 x^{6} - 33 x^{5} + 85 x^{4} + 25 x^{3} - 117 x^{2} + 29 x + 7$ $2^{6}\cdot 7^{4}\cdot 43^{6}$ $C_7:C_3$ (as 7T3) $[7]$ $84469.7144991$
7.7.3405864388526656.1 $x^{7} - x^{6} - 45 x^{5} - 65 x^{4} + 85 x^{3} + 129 x^{2} + 9 x - 11$ $2^{6}\cdot 7^{4}\cdot 53^{6}$ $C_7:C_3$ (as 7T3) $[2]$ $577698.230197$
7.7.3429038075724121.1 $x^{7} - 203 x^{5} - 406 x^{4} + 9338 x^{3} + 49126 x^{2} + 70035 x + 4408$ $7^{8}\cdot 29^{6}$ $C_7:C_3$ (as 7T3) $[7]$ $165602.32598$
7.7.25300544239856704.1 $x^{7} - 84 x^{5} - 28 x^{4} + 1456 x^{3} + 1806 x^{2} - 3906 x - 5238$ $2^{6}\cdot 7^{12}\cdot 13^{4}$ $C_7:C_3$ (as 7T3) trivial $2562207.56344$
7.7.32027016613996096.1 $x^{7} - 154 x^{5} + 6776 x^{3} - 74536 x - 39930$ $2^{6}\cdot 7^{10}\cdot 11^{6}$ $C_7:C_3$ (as 7T3) trivial $4482293.71248$
7.7.32027016613996096.2 $x^{7} - 154 x^{5} + 6776 x^{3} - 74536 x - 77198$ $2^{6}\cdot 7^{10}\cdot 11^{6}$ $C_7:C_3$ (as 7T3) trivial $3741007.61656$
7.7.32027016613996096.3 $x^{7} - 154 x^{5} + 6776 x^{3} - 74536 x - 95832$ $2^{6}\cdot 7^{10}\cdot 11^{6}$ $C_7:C_3$ (as 7T3) trivial $2883046.48624$
7.7.32027016613996096.4 $x^{7} - 154 x^{5} + 6776 x^{3} - 74536 x - 96360$ $2^{6}\cdot 7^{10}\cdot 11^{6}$ $C_7:C_3$ (as 7T3) trivial $2396810.65353$
7.7.32027016613996096.5 $x^{7} - 154 x^{5} + 6776 x^{3} - 74536 x - 99220$ $2^{6}\cdot 7^{10}\cdot 11^{6}$ $C_7:C_3$ (as 7T3) trivial $3240000.23501$
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