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Results (1-50 of 102 matches)

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Label Polynomial Discriminant Galois group Class group Regulator
11.1.255329503701171875.1 $x^{11} - 5 x - 5$ $-\,5^{10}\cdot 19\cdot 1376091641$ $S_{11}$ (as 11T8) trivial $24681.7074425$
11.1.278...875.1 $x^{11} - 5$ $-\,5^{10}\cdot 11^{11}$ $F_{11}$ (as 11T4) trivial $158012.330599$
11.1.327...875.1 $x^{11} + 5 x - 5$ $-\,5^{10}\cdot 3491\cdot 96050321$ $S_{11}$ (as 11T8) trivial $62672.8927453$
11.11.123...625.1 $x^{11} - x^{10} - 20 x^{9} + 30 x^{8} + 105 x^{7} - 207 x^{6} - 63 x^{5} + 240 x^{4} - 15 x^{3} - 80 x^{2} + 11 x + 4$ $3^{10}\cdot 5^{10}\cdot 11^{8}$ $C_{11}:C_5$ (as 11T3) trivial $12183336.2677$
11.11.285...000.1 $x^{11} - 55 x^{9} + 1100 x^{7} - 9625 x^{5} + 34375 x^{3} - 34375 x - 13900$ $2^{10}\cdot 5^{10}\cdot 11^{11}$ $F_{11}$ (as 11T4) trivial $52622964.70901569$
11.11.448...625.1 $x^{11} - 55 x^{9} + 1100 x^{7} - 9625 x^{5} + 34375 x^{3} - 34375 x - 12675$ $5^{10}\cdot 11^{16}$ $C_{11}:C_5$ (as 11T3) trivial $677575079.592$
11.1.730...000.1 $x^{11} - 55 x^{8} - 32000$ $-\,2^{18}\cdot 5^{10}\cdot 11^{11}$ $S_{11}$ (as 11T8) trivial $71341764.123$
11.1.154...000.1 $x^{11} - 1375 x^{3} - 10000$ $-\,2^{26}\cdot 5^{10}\cdot 11^{9}$ $S_{11}$ (as 11T8) trivial $154776356.248$
11.3.180...625.1 $x^{11} - 16335 x^{2} + 26730 x - 10935$ $3^{10}\cdot 5^{10}\cdot 11^{12}$ $A_{11}$ (as 11T7) trivial $221466121.333$
11.3.321...000.1 $x^{11} - 26620 x^{3} - 58080 x^{2} - 42240 x - 10240$ $2^{20}\cdot 5^{10}\cdot 11^{12}$ $A_{11}$ (as 11T7) trivial $935337853.282$
11.3.146...625.1 $x^{11} - 55 x^{2} + 45$ $3^{14}\cdot 5^{10}\cdot 11^{12}$ $A_{11}$ (as 11T7) trivial $1974856742.3$
11.3.183...000.1 $x^{11} + 165 x^{9} - 495 x^{8} + 4840 x^{7} - 32505 x^{6} - 178365 x^{5} + 1903770 x^{4} - 6796295 x^{3} + 17750535 x^{2} - 35134110 x + 31265595$ $2^{12}\cdot 5^{10}\cdot 11^{16}$ $\PSL(2,11)$ (as 11T5) trivial $198419118045$
11.3.183...000.2 $x^{11} - 110 x^{9} - 330 x^{8} + 2145 x^{7} + 26510 x^{6} + 49445 x^{5} - 325160 x^{4} - 1829740 x^{3} - 3819640 x^{2} - 3722180 x - 1398640$ $2^{12}\cdot 5^{10}\cdot 11^{16}$ $\PSL(2,11)$ (as 11T5) trivial $20542288492.9$
11.3.183...000.3 $x^{11} - 110 x^{9} - 330 x^{8} + 2145 x^{7} + 7150 x^{6} - 23155 x^{5} - 80740 x^{4} + 86900 x^{3} + 226600 x^{2} - 469700 x - 681440$ $2^{12}\cdot 5^{10}\cdot 11^{16}$ $\PSL(2,11)$ (as 11T5) trivial $15762210183.8$
11.3.183...000.4 $x^{11} - 1540 x^{8} - 1540 x^{7} + 3960 x^{6} + 149655 x^{5} - 199980 x^{4} - 558635 x^{3} + 547360 x^{2} - 425205 x - 1506320$ $2^{12}\cdot 5^{10}\cdot 11^{16}$ $\PSL(2,11)$ (as 11T5) trivial $20542288492.9$
11.3.183...000.5 $x^{11} - 440 x^{8} - 1815 x^{7} + 15950 x^{6} + 26015 x^{5} + 121990 x^{4} - 337370 x^{3} - 3290430 x^{2} - 261855 x - 25308990$ $2^{12}\cdot 5^{10}\cdot 11^{16}$ $\PSL(2,11)$ (as 11T5) trivial $198419118045$
11.3.183...000.6 $x^{11} - 55 x^{9} - 220 x^{8} + 330 x^{7} + 14190 x^{6} - 40535 x^{5} - 235840 x^{4} + 638550 x^{3} + 2451460 x^{2} + 2770130 x + 13682940$ $2^{12}\cdot 5^{10}\cdot 11^{16}$ $\PSL(2,11)$ (as 11T5) trivial $15762210183.8$
11.3.138...000.1 $x^{11} - 1485 x^{8} + 12100 x^{7} + 18150 x^{6} - 320650 x^{5} + 532400 x^{4} + 33275 x^{3} - 598950 x^{2} + 514250 x - 1351075$ $2^{8}\cdot 5^{10}\cdot 11^{18}$ $\PSL(2,11)$ (as 11T5) trivial $180113657010$
11.3.138...000.2 $x^{11} - 165 x^{8} - 1815 x^{7} - 1210 x^{6} + 30250 x^{5} + 185735 x^{4} + 268620 x^{3} - 45980 x^{2} - 416240 x - 112860$ $2^{8}\cdot 5^{10}\cdot 11^{18}$ $\PSL(2,11)$ (as 11T5) trivial $180113657010$
11.1.722...875.1 $x^{11} - 107421875$ $-\,5^{10}\cdot 11^{21}$ $F_{11}$ (as 11T4) trivial $31352699295.6$
11.1.722...875.2 $x^{11} - 1375$ $-\,5^{10}\cdot 11^{21}$ $F_{11}$ (as 11T4) trivial $27597434291.4$
11.1.722...875.3 $x^{11} - 15125$ $-\,5^{10}\cdot 11^{21}$ $F_{11}$ (as 11T4) trivial $26662463524.6$
11.1.722...875.4 $x^{11} - 275$ $-\,5^{10}\cdot 11^{21}$ $F_{11}$ (as 11T4) trivial $42462351549.4$
11.1.722...875.5 $x^{11} - 33275$ $-\,5^{10}\cdot 11^{21}$ $F_{11}$ (as 11T4) trivial $25344300655.2$
11.1.722...875.6 $x^{11} - 34375$ $-\,5^{10}\cdot 11^{21}$ $F_{11}$ (as 11T4) trivial $25550869987.5$
11.1.722...875.7 $x^{11} - 55$ $-\,5^{10}\cdot 11^{21}$ $F_{11}$ (as 11T4) trivial $29427597064.4$
11.1.722...875.8 $x^{11} - 605$ $-\,5^{10}\cdot 11^{21}$ $F_{11}$ (as 11T4) trivial $25948338931.0$
11.1.722...875.9 $x^{11} - 6655$ $-\,5^{10}\cdot 11^{21}$ $F_{11}$ (as 11T4) trivial $26010869816.8$
11.1.722...875.10 $x^{11} - 805255$ $-\,5^{10}\cdot 11^{21}$ $F_{11}$ (as 11T4) trivial $26249111567.6$
11.3.222...000.1 $x^{11} - 550 x^{8} - 605 x^{7} - 20570 x^{6} + 61710 x^{5} - 338800 x^{4} - 1788380 x^{3} + 5261080 x^{2} - 2879800 x + 2310880$ $2^{12}\cdot 5^{10}\cdot 11^{18}$ $\PSL(2,11)$ (as 11T5) trivial $245459543005$
11.3.222...000.2 $x^{11} - 660 x^{8} - 605 x^{7} + 54450 x^{6} - 166375 x^{5} - 840950 x^{4} + 4138200 x^{3} + 2262700 x^{2} - 26250950 x + 12412400$ $2^{12}\cdot 5^{10}\cdot 11^{18}$ $\PSL(2,11)$ (as 11T5) trivial $245459543005$
11.1.978...000.1 $x^{11} + 166375 x^{3} - 6655000$ $-\,2^{14}\cdot 5^{10}\cdot 11^{19}$ $S_{11}$ (as 11T8) $[2, 2]$ $841957315670$
11.3.779...625.1 $x^{11} - 1323135 x^{2} + 6495390 x - 7971615$ $3^{26}\cdot 5^{10}\cdot 11^{12}$ $A_{11}$ (as 11T7) trivial $1881389801980$
11.3.275...000.1 $x^{11} + 110 x^{9} - 2860 x^{8} + 91025 x^{7} - 133980 x^{6} - 6042410 x^{5} + 114912820 x^{4} - 552727725 x^{3} + 5702365240 x^{2} - 34495524800 x + 59609831680$ $2^{22}\cdot 5^{10}\cdot 11^{20}$ $A_{11}$ (as 11T7) $[11]$ $3670507552850$
11.3.314...625.1 $x^{11} - 3025 x^{8} - 18150 x^{7} + 390225 x^{6} - 2498650 x^{5} + 105215550 x^{4} - 916892625 x^{3} + 404956750 x^{2} + 8463163500 x + 9205180875$ $3^{14}\cdot 5^{10}\cdot 11^{20}$ $A_{11}$ (as 11T7) $[11]$ $3043690739730$
11.3.314...625.2 $x^{11} - 503284375 x^{2} + 22647796875$ $3^{14}\cdot 5^{10}\cdot 11^{20}$ $A_{11}$ (as 11T7) trivial $20922114361200$
11.3.185...625.1 $x^{11} - 1509853125 x^{2} + 67943390625$ $3^{24}\cdot 5^{10}\cdot 11^{20}$ $A_{11}$ (as 11T7) trivial $5080520926250000$
11.3.166...625.1 $x^{11} - 122298103125 x^{2} + 16510243921875$ $3^{26}\cdot 5^{10}\cdot 11^{20}$ $A_{11}$ (as 11T7) trivial $22442653242100000$
11.3.166...625.2 $x^{11} - 195676965 x^{2} + 5283278055$ $3^{26}\cdot 5^{10}\cdot 11^{20}$ $A_{11}$ (as 11T7) trivial $13980857205200000$
11.3.166...625.3 $x^{11} - 495 x^{9} - 3465 x^{8} + 17820 x^{7} + 635580 x^{6} + 5372730 x^{5} + 25170750 x^{4} + 72349200 x^{3} + 129243180 x^{2} + 132897105 x + 62013735$ $3^{26}\cdot 5^{10}\cdot 11^{20}$ $A_{11}$ (as 11T7) trivial $19830766282000000$
12.2.713...000.1 $x^{12} - 4 x^{11} + 55 x^{9} - 110 x^{8} - 220 x^{7} + 1155 x^{6} - 440 x^{5} - 4730 x^{4} + 6985 x^{3} + 9460 x^{2} - 29660 x + 18540$ $-\,2^{8}\cdot 5^{10}\cdot 11^{11}$ $\PGL(2,11)$ (as 12T218) $[5]$ $1340788.40291$
12.2.456...000.1 $x^{12} - 2 x^{11} - 44 x^{10} + 220 x^{9} - 165 x^{8} - 1012 x^{7} + 2464 x^{6} - 1672 x^{5} + 55 x^{4} - 330 x^{3} + 396 x^{2} + 108 x + 81$ $-\,2^{14}\cdot 5^{10}\cdot 11^{11}$ $\PGL(2,11)$ (as 12T218) trivial $15789142.3661$
12.2.164...875.1 $x^{12} - 5 x^{11} + 11 x^{10} - 55 x^{9} + 165 x^{8} - 264 x^{7} + 165 x^{6} + 66 x^{5} - 165 x^{4} + 220 x^{3} - 176 x^{2} + 65 x - 226$ $-\,3^{10}\cdot 5^{10}\cdot 11^{11}$ $\PGL(2,11)$ (as 12T218) trivial $81950857.8937$
12.2.168...000.1 $x^{12} - 2 x^{11} + 330 x^{9} - 495 x^{8} + 396 x^{7} + 28248 x^{6} - 28380 x^{5} + 16995 x^{4} + 250470 x^{3} - 123816 x^{2} - 157038 x + 640875$ $-\,2^{10}\cdot 3^{10}\cdot 5^{10}\cdot 11^{11}$ $\PGL(2,11)$ (as 12T218) $[5]$ $353321759.626$
12.2.787...875.1 $x^{12} - 4 x^{11} - 22 x^{10} - 55 x^{9} - 132 x^{7} - 77 x^{6} + 264 x^{5} + 330 x^{4} + 275 x^{3} - 44 x^{2} + 56 x - 1192$ $-\,5^{10}\cdot 7^{10}\cdot 11^{11}$ $\PGL(2,11)$ (as 12T218) trivial $17256921150.5$
12.0.117...000.1 $x^{12} - 2 x^{11} - 33 x^{10} + 330 x^{9} - 18986 x^{7} + 74327 x^{6} + 276078 x^{5} - 2839925 x^{4} + 9074560 x^{3} + 40925434 x^{2} - 156371568 x + 143707588$ $2^{18}\cdot 5^{10}\cdot 11^{16}$ $\PSL(2,11)$ (as 12T179) $[2]$ $9461080344.05$
12.0.117...000.2 $x^{12} - 4 x^{11} + 88 x^{10} + 550 x^{9} + 1265 x^{8} + 37708 x^{7} + 150788 x^{6} + 731434 x^{5} + 4744410 x^{4} + 9416770 x^{3} + 56589346 x^{2} + 74954206 x + 75216153$ $2^{18}\cdot 5^{10}\cdot 11^{16}$ $\PSL(2,11)$ (as 12T179) trivial $12286349204.8$
12.0.117...000.3 $x^{12} + 44 x^{10} - 110 x^{9} + 2585 x^{8} - 9372 x^{7} + 70840 x^{6} - 196218 x^{5} + 857890 x^{4} - 1586970 x^{3} + 4347266 x^{2} - 6275810 x + 2894749$ $2^{18}\cdot 5^{10}\cdot 11^{16}$ $\PSL(2,11)$ (as 12T179) trivial $20011737162.5$
12.0.222...000.1 $x^{12} - 2 x^{11} + 11 x^{10} + 440 x^{9} + 55 x^{8} - 9922 x^{7} + 9394 x^{6} + 325138 x^{5} + 2461635 x^{4} + 8129220 x^{3} + 13245771 x^{2} + 10626358 x + 3509901$ $2^{12}\cdot 5^{10}\cdot 11^{18}$ $\PSL(2,11)$ (as 12T179) $[2]$ $17444898307.7$
12.0.142...000.1 $x^{12} + 1210 x^{8} + 66550 x^{6} - 159720 x^{5} + 1217865 x^{4} - 1756920 x^{3} + 732050 x^{2} + 3354120 x + 3294225$ $2^{18}\cdot 5^{10}\cdot 11^{18}$ $\PSL(2,11)$ (as 12T179) trivial $110831421676$
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