Results (1-50 of 129 matches)

Label Polynomial Discriminant Galois group Class group
7.7.594823321.1 x7 - x6 - 12x5 + 7x4 + 28x3 - 14x2 - 9x - 1 $29^{6}$ $C_7$ (as 7T1) trivial
7.7.6321363049.1 x7 - x6 - 18x5 + 35x4 + 38x3 - 104x2 + 7x + 49 $43^{6}$ $C_7$ (as 7T1) trivial
7.7.13841287201.1 x7 - 21x5 - 21x4 + 91x3 + 112x2 - 84x - 97 $7^{12}$ $C_7$ (as 7T1) trivial
7.7.128100283921.1 x7 - x6 - 30x5 - 3x4 + 254x3 + 246x2 - 245x - 137 $71^{6}$ $C_7$ (as 7T1) trivial
7.7.2081951752609.1 x7 - x6 - 48x5 - 37x4 + 312x3 + 12x2 - 49x + 1 $113^{6}$ $C_7$ (as 7T1) trivial
7.7.4195872914689.1 x7 - x6 - 54x5 + 31x4 + 558x3 + 32x2 - 1713x - 1121 $127^{6}$ $C_7$ (as 7T1) trivial
7.7.58451728309129.1 x7 - x6 - 84x5 + 217x4 + 1348x3 - 3988x2 - 1433x + 1163 $197^{6}$ $C_7$ (as 7T1) trivial
7.7.88245939632761.1 x7 - x6 - 90x5 - 69x4 + 1306x3 - 124x2 - 5249x + 4663 $211^{6}$ $C_7$ (as 7T1) trivial
7.7.186374892382561.1 x7 - x6 - 102x5 + 195x4 + 1850x3 - 978x2 - 8933x - 5183 $239^{6}$ $C_7$ (as 7T1) trivial
7.7.492309163417681.1 x7 - x6 - 120x5 + 711x4 - 784x3 - 1956x2 + 2863x + 343 $281^{6}$ $C_7$ (as 7T1) trivial
7.7.1464803622199009.1 x7 - x6 - 144x5 - 399x4 + 2416x3 + 10808x2 + 10831x + 1237 $337^{6}$ $C_7$ (as 7T1) trivial
7.7.2963706958323721.1 x7 - x6 - 162x5 + 201x4 + 7822x3 - 12322x2 - 107717x + 193369 $379^{6}$ $C_7$ (as 7T1) trivial
7.7.5567914722008521.1 x7 - x6 - 180x5 + 103x4 + 6180x3 - 11596x2 - 25209x + 49213 $421^{6}$ $C_7$ (as 7T1) trivial
7.7.8193662024284801.1 x7 - x6 - 192x5 - 275x4 + 3952x3 - 4136x2 - 81x + 863 $449^{6}$ $C_7$ (as 7T1) trivial
7.7.9851127637605409.1 x7 - x6 - 198x5 + 907x4 + 4302x3 - 20582x2 - 18973x + 56911 $463^{6}$ $C_7$ (as 7T1) trivial
7.7.14011639427134441.1 x7 - x6 - 210x5 - 1423x4 - 1410x3 + 8538x2 + 9203x - 19427 $491^{6}$ $C_7$ (as 7T1) $[2, 2, 2]$
7.7.26786992617986329.1 x7 - x6 - 234x5 - 335x4 + 13254x3 + 42874x2 - 55309x - 71879 $547^{6}$ $C_7$ (as 7T1) trivial
7.7.55171016309022769.1 x7 - x6 - 264x5 + 151x4 + 13288x3 - 18556x2 - 69425x - 34621 $617^{6}$ $C_7$ (as 7T1) trivial
7.7.63121332085847281.1 x7 - x6 - 270x5 - 116x4 + 19848x3 + 31904x2 - 375552x - 720896 $631^{6}$ $C_7$ (as 7T1) trivial
7.7.81905390937410041.1 x7 - x6 - 282x5 - 1345x4 + 5370x3 + 30042x2 - 14893x - 115169 $659^{6}$ $C_7$ (as 7T1) trivial
7.7.92915974333361089.1 x7 - x6 - 288x5 - 316x4 + 23504x3 + 53056x2 - 541952x - 1722368 $673^{6}$ $C_7$ (as 7T1) trivial
7.7.118661028367354201.1 x7 - x6 - 300x5 - 1631x4 + 5140x3 + 23794x2 - 59049x + 18773 $701^{6}$ $C_7$ (as 7T1) trivial
7.7.168241403464173649.1 x7 - x6 - 318x5 + 1031x4 + 26070x3 - 125148x2 - 420841x + 2302639 $743^{6}$ $C_7$ (as 7T1) trivial
7.7.188180785490436649.1 x7 - x6 - 324x5 + 1483x4 + 20876x3 - 129744x2 + 36999x + 54027 $757^{6}$ $C_7$ (as 7T1) trivial
7.7.319913861015774089.1 x7 - x6 - 354x5 - 979x4 + 30030x3 + 111552x2 - 715705x - 2921075 $827^{6}$ $C_7$ (as 7T1) $[2, 2, 2]$
7.7.473984589097059769.1 x7 - x6 - 378x5 + 973x4 + 13106x3 + 9624x2 - 64665x - 91125 $883^{6}$ $C_7$ (as 7T1) trivial
7.7.571623746239596961.1 x7 - x6 - 390x5 + 223x4 + 18058x3 - 30856x2 - 116657x + 225929 $911^{6}$ $C_7$ (as 7T1) trivial
7.7.749130369924173329.1 x7 - x6 - 408x5 - 992x4 + 48064x3 + 204560x2 - 1603520x - 8290816 $953^{6}$ $C_7$ (as 7T1) $[71]$
7.7.817633815294109969.1 x7 - x6 - 414x5 + 4381x4 - 10434x3 - 32702x2 + 167651x - 182573 $967^{6}$ $C_7$ (as 7T1) trivial
7.7.1055229678769825441.1 x7 - x6 - 432x5 + 247x4 + 59784x3 - 15272x2 - 2647129x - 374699 $1009^{6}$ $C_7$ (as 7T1) trivial
7.7.1347771585762793801.1 x7 - x6 - 450x5 - 4247x4 - 6450x3 + 22774x2 + 25691x + 5653 $1051^{6}$ $C_7$ (as 7T1) trivial
7.7.1704986606307341449.1 x7 - x6 - 468x5 - 2543x4 + 23004x3 + 169598x2 + 130839x - 450131 $1093^{6}$ $C_7$ (as 7T1) trivial
7.7.2474447753486836009.1 x7 - x6 - 498x5 + 1780x4 + 72184x3 - 361600x2 - 2988416x + 16876544 $1163^{6}$ $C_7$ (as 7T1) trivial
7.7.4586881327254923761.1 x7 - x6 - 552x5 - 5577x4 - 5280x3 + 59010x2 - 42769x - 7019 $1289^{6}$ $C_7$ (as 7T1) trivial
7.7.4894028501935246129.1 x7 - x6 - 558x5 - 4893x4 + 17638x3 + 254174x2 + 353419x - 218405 $1303^{6}$ $C_7$ (as 7T1) trivial
7.7.6699204317182001689.1 x7 - x6 - 588x5 + 1513x4 + 65884x3 + 33346x2 - 962361x - 55903 $1373^{6}$ $C_7$ (as 7T1) trivial
7.7.8233120419813614521.1 x7 - 609x5 - 2030x4 + 70847x3 + 133980x2 - 1467487x - 2403694 $7^{12}\cdot 29^{6}$ $C_7$ (as 7T1) $[7]$
7.7.8233120419813614521.2 x7 - 609x5 - 2233x4 + 36743x3 + 62118x2 - 576520x + 3625 $7^{12}\cdot 29^{6}$ $C_7$ (as 7T1) $[7]$
7.7.8233120419813614521.3 x7 - 609x5 - 2233x4 + 48111x3 - 40194x2 - 87696x + 77517 $7^{12}\cdot 29^{6}$ $C_7$ (as 7T1) $[7]$
7.7.8233120419813614521.4 x7 - 609x5 - 609x4 + 104951x3 + 119770x2 - 5123720x - 9825577 $7^{12}\cdot 29^{6}$ $C_7$ (as 7T1) $[7]$
7.7.8233120419813614521.5 x7 - 609x5 - 609x4 + 36743x3 + 162400x2 + 179452x - 12151 $7^{12}\cdot 29^{6}$ $C_7$ (as 7T1) $[7]$
7.7.8233120419813614521.6 x7 - 609x5 - 6293x4 + 2639x3 + 125454x2 - 133168x + 30479 $7^{12}\cdot 29^{6}$ $C_7$ (as 7T1) $[7]$
7.7.8515170979269874921.1 x7 - x6 - 612x5 + 1983x4 + 118732x3 - 607744x2 - 6889121x + 43521943 $1429^{6}$ $C_7$ (as 7T1) trivial
7.7.101...321.1 x7 - x6 - 630x5 - 1321x4 + 105050x3 + 532744x2 - 1423169x - 1017227 $1471^{6}$ $C_7$ (as 7T1) trivial
7.7.113...001.1 x7 - x6 - 642x5 + 367x4 + 114514x3 - 287002x2 - 6382709x + 28440251 $1499^{6}$ $C_7$ (as 7T1) trivial
7.7.157...369.1 x7 - x6 - 678x5 - 517x4 + 79450x3 - 44802x2 - 1841157x + 1084293 $1583^{6}$ $C_7$ (as 7T1) trivial
7.7.165...929.1 x7 - x6 - 684x5 + 391x4 + 101924x3 + 148956x2 - 2012697x - 4567671 $1597^{6}$ $C_7$ (as 7T1) trivial
7.7.214...369.1 x7 - x6 - 714x5 + 1837x4 + 97138x3 + 129892x2 - 1667073x - 2477977 $1667^{6}$ $C_7$ (as 7T1) trivial
7.7.249...241.1 x7 - x6 - 732x5 + 3104x4 + 155808x3 - 1028208x2 - 6517504x + 42320896 $1709^{6}$ $C_7$ (as 7T1) trivial
7.7.261...489.1 x7 - x6 - 738x5 + 9283x4 - 11418x3 - 331708x2 + 1727391x - 2487539 $1723^{6}$ $C_7$ (as 7T1) trivial