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Label Polynomial Discriminant Galois group Class group Regulator
7.7.594823321.1 $x^{7} - x^{6} - 12 x^{5} + 7 x^{4} + 28 x^{3} - 14 x^{2} - 9 x - 1$ $29^{6}$ $C_7$ (as 7T1) trivial $94.0778921898$
7.7.6321363049.1 $x^{7} - x^{6} - 18 x^{5} + 35 x^{4} + 38 x^{3} - 104 x^{2} + 7 x + 49$ $43^{6}$ $C_7$ (as 7T1) trivial $562.369403915$
7.7.13841287201.1 $x^{7} - 21 x^{5} - 21 x^{4} + 91 x^{3} + 112 x^{2} - 84 x - 97$ $7^{12}$ $C_7$ (as 7T1) trivial $550.88577714$
7.7.128100283921.1 $x^{7} - x^{6} - 30 x^{5} - 3 x^{4} + 254 x^{3} + 246 x^{2} - 245 x - 137$ $71^{6}$ $C_7$ (as 7T1) trivial $4923.66713477$
7.7.2081951752609.1 $x^{7} - x^{6} - 48 x^{5} - 37 x^{4} + 312 x^{3} + 12 x^{2} - 49 x + 1$ $113^{6}$ $C_7$ (as 7T1) trivial $3480.45270075$
7.7.4195872914689.1 $x^{7} - x^{6} - 54 x^{5} + 31 x^{4} + 558 x^{3} + 32 x^{2} - 1713 x - 1121$ $127^{6}$ $C_7$ (as 7T1) trivial $8535.73766168$
7.7.58451728309129.1 $x^{7} - x^{6} - 84 x^{5} + 217 x^{4} + 1348 x^{3} - 3988 x^{2} - 1433 x + 1163$ $197^{6}$ $C_7$ (as 7T1) trivial $24266.4874851$
7.7.88245939632761.1 $x^{7} - x^{6} - 90 x^{5} - 69 x^{4} + 1306 x^{3} - 124 x^{2} - 5249 x + 4663$ $211^{6}$ $C_7$ (as 7T1) trivial $45986.5424474$
7.7.186374892382561.1 $x^{7} - x^{6} - 102 x^{5} + 195 x^{4} + 1850 x^{3} - 978 x^{2} - 8933 x - 5183$ $239^{6}$ $C_7$ (as 7T1) trivial $47231.2823021$
7.7.492309163417681.1 $x^{7} - x^{6} - 120 x^{5} + 711 x^{4} - 784 x^{3} - 1956 x^{2} + 2863 x + 343$ $281^{6}$ $C_7$ (as 7T1) trivial $190251.575488$
7.7.1464803622199009.1 $x^{7} - x^{6} - 144 x^{5} - 399 x^{4} + 2416 x^{3} + 10808 x^{2} + 10831 x + 1237$ $337^{6}$ $C_7$ (as 7T1) trivial $85721.5666782$
7.7.2963706958323721.1 $x^{7} - x^{6} - 162 x^{5} + 201 x^{4} + 7822 x^{3} - 12322 x^{2} - 107717 x + 193369$ $379^{6}$ $C_7$ (as 7T1) trivial $269113.064107$
7.7.5567914722008521.1 $x^{7} - x^{6} - 180 x^{5} + 103 x^{4} + 6180 x^{3} - 11596 x^{2} - 25209 x + 49213$ $421^{6}$ $C_7$ (as 7T1) trivial $428479.510505$
7.7.8193662024284801.1 $x^{7} - x^{6} - 192 x^{5} - 275 x^{4} + 3952 x^{3} - 4136 x^{2} - 81 x + 863$ $449^{6}$ $C_7$ (as 7T1) trivial $263186.113809$
7.7.9851127637605409.1 $x^{7} - x^{6} - 198 x^{5} + 907 x^{4} + 4302 x^{3} - 20582 x^{2} - 18973 x + 56911$ $463^{6}$ $C_7$ (as 7T1) trivial $191858.77331$
7.7.14011639427134441.1 $x^{7} - x^{6} - 210 x^{5} - 1423 x^{4} - 1410 x^{3} + 8538 x^{2} + 9203 x - 19427$ $491^{6}$ $C_7$ (as 7T1) $[2, 2, 2]$ $36153.2241228$
7.7.26786992617986329.1 $x^{7} - x^{6} - 234 x^{5} - 335 x^{4} + 13254 x^{3} + 42874 x^{2} - 55309 x - 71879$ $547^{6}$ $C_7$ (as 7T1) trivial $1081131.34355$
7.7.55171016309022769.1 $x^{7} - x^{6} - 264 x^{5} + 151 x^{4} + 13288 x^{3} - 18556 x^{2} - 69425 x - 34621$ $617^{6}$ $C_7$ (as 7T1) trivial $948249.056766$
7.7.63121332085847281.1 $x^{7} - x^{6} - 270 x^{5} - 116 x^{4} + 19848 x^{3} + 31904 x^{2} - 375552 x - 720896$ $631^{6}$ $C_7$ (as 7T1) trivial $159039747.783$
7.7.81905390937410041.1 $x^{7} - x^{6} - 282 x^{5} - 1345 x^{4} + 5370 x^{3} + 30042 x^{2} - 14893 x - 115169$ $659^{6}$ $C_7$ (as 7T1) trivial $1395957.12953$
7.7.92915974333361089.1 $x^{7} - x^{6} - 288 x^{5} - 316 x^{4} + 23504 x^{3} + 53056 x^{2} - 541952 x - 1722368$ $673^{6}$ $C_7$ (as 7T1) trivial $113222151.583$
7.7.118661028367354201.1 $x^{7} - x^{6} - 300 x^{5} - 1631 x^{4} + 5140 x^{3} + 23794 x^{2} - 59049 x + 18773$ $701^{6}$ $C_7$ (as 7T1) trivial $1357576.32866$
7.7.168241403464173649.1 $x^{7} - x^{6} - 318 x^{5} + 1031 x^{4} + 26070 x^{3} - 125148 x^{2} - 420841 x + 2302639$ $743^{6}$ $C_7$ (as 7T1) trivial $995925.108939$
7.7.188180785490436649.1 $x^{7} - x^{6} - 324 x^{5} + 1483 x^{4} + 20876 x^{3} - 129744 x^{2} + 36999 x + 54027$ $757^{6}$ $C_7$ (as 7T1) trivial $31817260.5598$
7.7.319913861015774089.1 $x^{7} - x^{6} - 354 x^{5} - 979 x^{4} + 30030 x^{3} + 111552 x^{2} - 715705 x - 2921075$ $827^{6}$ $C_7$ (as 7T1) $[2, 2, 2]$ $758444.158782$
7.7.473984589097059769.1 $x^{7} - x^{6} - 378 x^{5} + 973 x^{4} + 13106 x^{3} + 9624 x^{2} - 64665 x - 91125$ $883^{6}$ $C_7$ (as 7T1) trivial $129015047.061$
7.7.571623746239596961.1 $x^{7} - x^{6} - 390 x^{5} + 223 x^{4} + 18058 x^{3} - 30856 x^{2} - 116657 x + 225929$ $911^{6}$ $C_7$ (as 7T1) trivial $7877583.34144$
7.7.749130369924173329.1 $x^{7} - x^{6} - 408 x^{5} - 992 x^{4} + 48064 x^{3} + 204560 x^{2} - 1603520 x - 8290816$ $953^{6}$ $C_7$ (as 7T1) $[71]$ $4478301.42813$
7.7.817633815294109969.1 $x^{7} - x^{6} - 414 x^{5} + 4381 x^{4} - 10434 x^{3} - 32702 x^{2} + 167651 x - 182573$ $967^{6}$ $C_7$ (as 7T1) trivial $3027322.57187$
7.7.1055229678769825441.1 $x^{7} - x^{6} - 432 x^{5} + 247 x^{4} + 59784 x^{3} - 15272 x^{2} - 2647129 x - 374699$ $1009^{6}$ $C_7$ (as 7T1) trivial $8038322.35166$
7.7.1347771585762793801.1 $x^{7} - x^{6} - 450 x^{5} - 4247 x^{4} - 6450 x^{3} + 22774 x^{2} + 25691 x + 5653$ $1051^{6}$ $C_7$ (as 7T1) trivial $2327124.38908$
7.7.1704986606307341449.1 $x^{7} - x^{6} - 468 x^{5} - 2543 x^{4} + 23004 x^{3} + 169598 x^{2} + 130839 x - 450131$ $1093^{6}$ $C_7$ (as 7T1) trivial $9655295.79813$
7.7.2474447753486836009.1 $x^{7} - x^{6} - 498 x^{5} + 1780 x^{4} + 72184 x^{3} - 361600 x^{2} - 2988416 x + 16876544$ $1163^{6}$ $C_7$ (as 7T1) trivial $458862243.387$
7.7.4586881327254923761.1 $x^{7} - x^{6} - 552 x^{5} - 5577 x^{4} - 5280 x^{3} + 59010 x^{2} - 42769 x - 7019$ $1289^{6}$ $C_7$ (as 7T1) trivial $178245209.06$
7.7.4894028501935246129.1 $x^{7} - x^{6} - 558 x^{5} - 4893 x^{4} + 17638 x^{3} + 254174 x^{2} + 353419 x - 218405$ $1303^{6}$ $C_7$ (as 7T1) trivial $102202414.924$
7.7.6699204317182001689.1 $x^{7} - x^{6} - 588 x^{5} + 1513 x^{4} + 65884 x^{3} + 33346 x^{2} - 962361 x - 55903$ $1373^{6}$ $C_7$ (as 7T1) trivial $5167793.74822$
7.7.8233120419813614521.1 $x^{7} - 609 x^{5} - 2030 x^{4} + 70847 x^{3} + 133980 x^{2} - 1467487 x - 2403694$ $7^{12}\cdot 29^{6}$ $C_7$ (as 7T1) $[7]$ $140334638.823$
7.7.8233120419813614521.2 $x^{7} - 609 x^{5} - 2233 x^{4} + 36743 x^{3} + 62118 x^{2} - 576520 x + 3625$ $7^{12}\cdot 29^{6}$ $C_7$ (as 7T1) $[7]$ $5753883.56452$
7.7.8233120419813614521.3 $x^{7} - 609 x^{5} - 2233 x^{4} + 48111 x^{3} - 40194 x^{2} - 87696 x + 77517$ $7^{12}\cdot 29^{6}$ $C_7$ (as 7T1) $[7]$ $64309241.25$
7.7.8233120419813614521.4 $x^{7} - 609 x^{5} - 609 x^{4} + 104951 x^{3} + 119770 x^{2} - 5123720 x - 9825577$ $7^{12}\cdot 29^{6}$ $C_7$ (as 7T1) $[7]$ $1232531.80142$
7.7.8233120419813614521.5 $x^{7} - 609 x^{5} - 609 x^{4} + 36743 x^{3} + 162400 x^{2} + 179452 x - 12151$ $7^{12}\cdot 29^{6}$ $C_7$ (as 7T1) $[7]$ $1458812.01451$
7.7.8233120419813614521.6 $x^{7} - 609 x^{5} - 6293 x^{4} + 2639 x^{3} + 125454 x^{2} - 133168 x + 30479$ $7^{12}\cdot 29^{6}$ $C_7$ (as 7T1) $[7]$ $934548.225652$
7.7.8515170979269874921.1 $x^{7} - x^{6} - 612 x^{5} + 1983 x^{4} + 118732 x^{3} - 607744 x^{2} - 6889121 x + 43521943$ $1429^{6}$ $C_7$ (as 7T1) trivial $9587300.65259$
7.7.101...321.1 $x^{7} - x^{6} - 630 x^{5} - 1321 x^{4} + 105050 x^{3} + 532744 x^{2} - 1423169 x - 1017227$ $1471^{6}$ $C_7$ (as 7T1) trivial $10351757.8241$
7.7.113...001.1 $x^{7} - x^{6} - 642 x^{5} + 367 x^{4} + 114514 x^{3} - 287002 x^{2} - 6382709 x + 28440251$ $1499^{6}$ $C_7$ (as 7T1) trivial $22758620.4726$
7.7.157...369.1 $x^{7} - x^{6} - 678 x^{5} - 517 x^{4} + 79450 x^{3} - 44802 x^{2} - 1841157 x + 1084293$ $1583^{6}$ $C_7$ (as 7T1) trivial $819365058.399$
7.7.165...929.1 $x^{7} - x^{6} - 684 x^{5} + 391 x^{4} + 101924 x^{3} + 148956 x^{2} - 2012697 x - 4567671$ $1597^{6}$ $C_7$ (as 7T1) trivial $162869375.771$
7.7.214...369.1 $x^{7} - x^{6} - 714 x^{5} + 1837 x^{4} + 97138 x^{3} + 129892 x^{2} - 1667073 x - 2477977$ $1667^{6}$ $C_7$ (as 7T1) trivial $9685504.78334$
7.7.249...241.1 $x^{7} - x^{6} - 732 x^{5} + 3104 x^{4} + 155808 x^{3} - 1028208 x^{2} - 6517504 x + 42320896$ $1709^{6}$ $C_7$ (as 7T1) trivial $1611972567.68$
7.7.261...489.1 $x^{7} - x^{6} - 738 x^{5} + 9283 x^{4} - 11418 x^{3} - 331708 x^{2} + 1727391 x - 2487539$ $1723^{6}$ $C_7$ (as 7T1) trivial $13885411.1162$
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