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Results (1-50 of 18790 matches)

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Label Polynomial Discriminant Galois group Class group Regulator
9.3.22377849199125399.3 $x^{9} - 24 x^{7} - 12 x^{6} + 171 x^{5} + 66 x^{4} - 457 x^{3} - 432 x^{2} + 372 x + 440$ $-\,3^{12}\cdot 7^{6}\cdot 71^{3}$ $S_3\times C_3$ (as 9T4) $[117]$ $3323.77563671$
9.3.45370442231868096.9 $x^{9} - 3 x^{8} + 3 x^{7} - 18 x^{6} + 48 x^{5} - 39 x^{4} - 3 x^{3} + 15 x^{2} - 6 x + 1$ $-\,2^{6}\cdot 3^{16}\cdot 7^{4}\cdot 19^{3}$ $(C_3^2:C_3):C_2$ (as 9T12) $[6, 18]$ $1111.19177718$
9.1.89296304144943168.1 $x^{9} - 3 x^{8} + 4 x^{7} + 7 x^{6} - 140 x^{5} - 105 x^{4} + 721 x^{3} + 1444 x^{2} + 1002 x + 246$ $2^{6}\cdot 3^{3}\cdot 7^{7}\cdot 13^{7}$ $S_3^2$ (as 9T8) $[3, 3, 18]$ $2469.6453292470014$
9.1.104608905489000000.2 $x^{9} - 3 x^{8} - 6 x^{7} - 25 x^{6} + 102 x^{5} - 147 x^{4} - 461 x^{3} + 24 x^{2} + 2856 x - 3954$ $2^{6}\cdot 3^{10}\cdot 5^{6}\cdot 11^{6}$ $C_3^2:C_2$ (as 9T5) $[3, 6, 6]$ $3127.59014298$
9.3.132798133404501799.3 $x^{9} - 2 x^{8} + 3 x^{7} + 475 x^{6} - 2252 x^{5} - 1772 x^{4} - 26904 x^{3} - 395552 x^{2} - 130176 x + 1746432$ $-\,13^{6}\cdot 31^{7}$ $S_3\times C_3$ (as 9T4) $[3, 39]$ $4344.36042781$
9.3.140558522604533019.7 $x^{9} - 3 x^{8} + 39 x^{7} + 138 x^{6} + 249 x^{5} + 258 x^{4} + 155 x^{3} + 48 x^{2} - 3 x - 1$ $-\,3^{12}\cdot 7^{6}\cdot 131^{3}$ $S_3\times C_3$ (as 9T4) $[3, 36]$ $755.775116532$
9.3.145380128593826227.1 $x^{9} - 3 x^{8} + 4 x^{7} - 66 x^{6} - 250 x^{5} + 2536 x^{4} - 7387 x^{3} + 37441 x^{2} - 128324 x + 142144$ $-\,283^{7}$ $S_3\times C_3$ (as 9T4) $[122]$ $12861.6451846$
9.3.262552173266674368.13 $x^{9} - 3 x^{8} - 3 x^{7} - 52 x^{6} + 132 x^{5} - 285 x^{4} + 1833 x^{3} - 2037 x^{2} + 7518 x - 12341$ $-\,2^{6}\cdot 3^{9}\cdot 7^{6}\cdot 11^{6}$ $S_3\times C_3$ (as 9T4) $[6, 18]$ $1759.74136126$
9.3.279981688157042599.2 $x^{9} - 4 x^{8} - 42 x^{7} - 173 x^{6} - 259 x^{5} + 353 x^{4} + 1889 x^{3} + 2898 x^{2} + 2051 x + 567$ $-\,7^{6}\cdot 13^{6}\cdot 79^{3}$ $S_3\times C_3$ (as 9T4) $[4, 36]$ $5994.40375214$
9.1.285018244641000000.10 $x^{9} - 18 x^{6} + 14148 x^{3} - 216$ $2^{6}\cdot 3^{10}\cdot 5^{6}\cdot 13^{6}$ $C_3^2:C_2$ (as 9T5) $[3, 6, 6]$ $7172.09299018$
9.1.285018244641000000.13 $x^{9} - 3 x^{8} + 69 x^{7} - 91 x^{6} + 1434 x^{5} + 48 x^{4} + 8868 x^{3} + 20520 x^{2} + 4356 x + 25884$ $2^{6}\cdot 3^{10}\cdot 5^{6}\cdot 13^{6}$ $C_3^2:C_2$ (as 9T5) $[3, 3, 18]$ $4120.24212491$
9.1.326830360514205681.1 $x^{9} - 3 x^{8} - 15 x^{7} + 20 x^{6} + 120 x^{5} + 456 x^{4} + 1807 x^{3} - 3009 x^{2} - 2445 x - 1056$ $3^{10}\cdot 7^{6}\cdot 19^{6}$ $C_3^2:C_2$ (as 9T5) $[9, 18]$ $9902.46779057$
9.3.329791532470972096.2 $x^{9} - 4 x^{8} + 18 x^{7} + 42 x^{6} - 336 x^{5} - 840 x^{4} - 560 x^{3} + 544 x^{2} - 608 x - 2976$ $-\,2^{6}\cdot 7^{8}\cdot 19^{7}$ $C_3 \wr S_3 $ (as 9T20) $[6, 18]$ $64340.1169152$
9.1.342413166234821184.1 $x^{9} - 3 x^{8} - 115 x^{6} + 240 x^{5} - 399 x^{4} + 8257 x^{3} - 8274 x^{2} + 17130 x - 70966$ $2^{6}\cdot 3^{9}\cdot 43^{7}$ $S_3^2$ (as 9T8) $[3, 3, 12]$ $6423.286072964789$
9.3.367638192988920000.5 $x^{9} + 21 x^{7} - 140 x^{6} + 315 x^{5} - 840 x^{4} - 525 x^{3} + 25200 x^{2} - 69300 x + 52500$ $-\,2^{6}\cdot 3^{13}\cdot 5^{4}\cdot 7^{8}$ $C_3 \wr S_3 $ (as 9T20) $[6, 18]$ $47140.9004267$
9.3.373943606076754623.5 $x^{9} - 86 x^{7} - 116 x^{6} + 2617 x^{5} + 6772 x^{4} - 23565 x^{3} - 118784 x^{2} - 185040 x - 71616$ $-\,3^{3}\cdot 7^{6}\cdot 13^{6}\cdot 29^{3}$ $S_3\times C_3$ (as 9T4) $[129]$ $13410.4294657$
9.3.374733943282472112.10 $x^{9} + 9 x^{7} - 162 x^{6} - 864 x^{5} + 3807 x^{4} + 11265 x^{3} + 70263 x^{2} - 431595 x + 142325$ $-\,2^{4}\cdot 3^{19}\cdot 67^{4}$ $C_3 \wr S_3 $ (as 9T20) $[3, 39]$ $5793.98902963$
9.1.405703886910977088.1 $x^{9} - 14 x^{7} - 31 x^{6} + 196 x^{5} + 1050 x^{4} + 717 x^{3} - 6076 x^{2} - 17892 x - 17669$ $2^{6}\cdot 3^{3}\cdot 7^{6}\cdot 1259^{3}$ $S_3^2$ (as 9T8) $[3, 3, 3, 6]$ $2410.601249673524$
9.3.467691547524201567.9 $x^{9} - 3 x^{8} - 42 x^{7} + 278 x^{6} + 141 x^{5} - 4491 x^{4} + 14831 x^{3} + 3201 x^{2} - 71823 x + 203131$ $-\,3^{12}\cdot 7^{3}\cdot 37^{6}$ $S_3\times C_3$ (as 9T4) $[3, 6, 6]$ $3225.03690232$
9.3.530803525857667776.8 $x^{9} - 81 x^{7} - 75 x^{6} + 1809 x^{5} + 4050 x^{4} - 1554 x^{3} - 16875 x^{2} - 22275 x - 15625$ $-\,2^{6}\cdot 3^{15}\cdot 7^{6}\cdot 17^{3}$ $S_3\times C_3$ (as 9T4) $[6, 18]$ $14700.2430764$
9.1.598488882256079424.2 $x^{9} - 51 x^{6} + 867 x^{3} + 4913$ $2^{6}\cdot 3^{18}\cdot 17^{6}$ $C_3^2:C_2$ (as 9T5) $[3, 36]$ $6258.828520515161$
9.1.787656519800023104.1 $x^{9} - 9 x^{6} + 4185 x^{3} - 27$ $2^{6}\cdot 3^{10}\cdot 7^{6}\cdot 11^{6}$ $C_3^2:C_2$ (as 9T5) $[3, 6, 6]$ $9880.04234015538$
9.3.806569710290630208.6 $x^{9} - 3 x^{8} + 9 x^{7} + 142 x^{6} - 1020 x^{5} + 2349 x^{4} - 4997 x^{3} - 19929 x^{2} - 19248 x - 5617$ $-\,2^{6}\cdot 3^{12}\cdot 13^{6}\cdot 17^{3}$ $S_3\times C_3$ (as 9T4) $[3, 3, 21]$ $1646.34872604$
9.3.821824919051661504.15 $x^{9} - 3 x^{8} + 21 x^{7} - 10 x^{6} - 12 x^{5} + 159 x^{4} - 635 x^{3} - 2001 x^{2} - 1608 x - 377$ $-\,2^{6}\cdot 3^{12}\cdot 7^{6}\cdot 59^{3}$ $(C_3^2:C_3):C_2$ (as 9T12) $[3, 6, 6]$ $8010.11325076$
9.3.821824919051661504.22 $x^{9} - 3 x^{8} + 21 x^{7} - 46 x^{6} + 312 x^{5} - 561 x^{4} + 337 x^{3} - 57 x^{2} - 6 x + 1$ $-\,2^{6}\cdot 3^{12}\cdot 7^{6}\cdot 59^{3}$ $(C_3^2:C_3):C_2$ (as 9T12) $[3, 6, 18]$ $1003.46161351$
9.3.821824919051661504.23 $x^{9} - 3 x^{8} + 39 x^{7} + 198 x^{6} + 444 x^{5} + 603 x^{4} + 515 x^{3} + 273 x^{2} + 72 x + 1$ $-\,2^{6}\cdot 3^{12}\cdot 7^{6}\cdot 59^{3}$ $S_3\times C_3$ (as 9T4) $[3, 3, 3, 9]$ $970.684878684$
9.3.827185934225070000.2 $x^{9} - 3 x^{8} + 18 x^{7} + 147 x^{6} + 378 x^{5} - 5670 x^{4} + 5040 x^{3} - 1188 x^{2} + 44388 x - 36252$ $-\,2^{4}\cdot 3^{15}\cdot 5^{4}\cdot 7^{8}$ $C_3 \wr S_3 $ (as 9T20) $[3, 63]$ $2696.43507296$
9.3.988941019347000000.1 $x^{9} - 123 x^{7} - 189 x^{6} + 3213 x^{5} + 2388 x^{4} - 37734 x^{3} + 16461 x^{2} + 153633 x - 188677$ $-\,2^{6}\cdot 3^{15}\cdot 5^{6}\cdot 41^{3}$ $S_3\times C_3$ (as 9T4) $[6, 18]$ $3739.97720599$
9.1.1166498446237171776.5 $x^{9} - 57 x^{6} - 1083 x^{3} - 6859$ $2^{6}\cdot 3^{18}\cdot 19^{6}$ $C_3^2:C_2$ (as 9T5) $[6, 18]$ $11216.73622755007$
9.1.1166498446237171776.7 $x^{9} - 42 x^{6} + 132 x^{3} - 2744$ $2^{6}\cdot 3^{18}\cdot 19^{6}$ $C_3^2:C_2$ (as 9T5) $[6, 18]$ $27113.40870458052$
9.3.1236937876870921408.1 $x^{9} - 67 x^{7} - 117 x^{6} + 1549 x^{5} + 5542 x^{4} - 7144 x^{3} - 66257 x^{2} - 121183 x - 74171$ $-\,2^{6}\cdot 43^{3}\cdot 79^{6}$ $S_3\times C_3$ (as 9T4) $[21, 21]$ $1022.62821032$
9.3.1287597438205439031.4 $x^{9} - 3 x^{8} + 36 x^{7} + 69 x^{6} + 201 x^{5} + 1071 x^{4} + 2055 x^{3} + 4182 x^{2} - 4913$ $-\,3^{15}\cdot 11^{6}\cdot 37^{3}$ $S_3\times C_3$ (as 9T4) $[117]$ $7455.53833075$
9.3.1297978913113439283.2 $x^{9} - 48 x^{6} - 1041 x^{3} - 4096$ $-\,3^{15}\cdot 67^{6}$ $S_3\times C_3$ (as 9T4) $[126]$ $44046.7139727$
9.1.1365414418584000000.2 $x^{9} + 9 x^{7} - 107 x^{6} + 27 x^{5} - 1287 x^{4} + 4130 x^{3} - 28053 x^{2} + 34884 x - 75034$ $2^{9}\cdot 3^{3}\cdot 5^{6}\cdot 43^{6}$ $S_3^2$ (as 9T8) $[3, 42]$ $110374.56147143782$
9.1.1425299311881000000.4 $x^{9} - 179 x^{6} + 49327 x^{3} - 27$ $2^{6}\cdot 3^{10}\cdot 5^{6}\cdot 17^{6}$ $C_3^2:C_2$ (as 9T5) $[3, 6, 6]$ $10489.642181569674$
9.3.144...456.15 $x^{9} - 3 x^{8} + 4 x^{7} - 27 x^{6} - 23 x^{5} + 32 x^{4} + 200 x^{3} + 384 x^{2} + 64 x - 512$ $-\,2^{9}\cdot 3^{3}\cdot 7^{6}\cdot 31^{6}$ $S_3^2$ (as 9T8) $[9, 27]$ $32999.19487308601$
9.3.1597657402133118656.2 $x^{9} - 32 x^{7} - 122 x^{6} + 124 x^{5} + 1516 x^{4} - 7288 x^{3} + 21472 x^{2} - 21480 x - 88504$ $-\,2^{6}\cdot 11^{3}\cdot 163^{6}$ $S_3\times C_3$ (as 9T4) $[2, 162]$ $2367.83568108$
9.3.168...000.104 $x^{9} - 21 x^{7} - 57 x^{6} + 1197 x^{5} - 4452 x^{4} - 15360 x^{3} + 156807 x^{2} - 395031 x + 326341$ $-\,2^{6}\cdot 3^{15}\cdot 5^{6}\cdot 7^{6}$ $S_3\times C_3$ (as 9T4) $[6, 18]$ $8631.32054198$
9.3.1799253224182754352.5 $x^{9} - 3 x^{8} - 62 x^{7} + 207 x^{6} + 364 x^{5} - 2633 x^{4} - 4745 x^{3} + 16032 x^{2} + 54100 x + 50864$ $-\,2^{4}\cdot 3^{3}\cdot 19^{6}\cdot 97^{4}$ $(C_3^2:C_3):C_2$ (as 9T12) $[117]$ $78093.14877789466$
9.3.2070424448419852819.3 $x^{9} - 23 x^{7} - 32 x^{6} + 349 x^{5} + 1613 x^{4} + 802 x^{3} - 9248 x^{2} - 31222 x - 37253$ $-\,7^{6}\cdot 19^{3}\cdot 37^{6}$ $S_3\times C_3$ (as 9T4) $[117]$ $2142.65990591$
9.1.2143111299478636032.1 $x^{9} - 3 x^{8} + 4 x^{7} - 175 x^{6} + 406 x^{5} - 469 x^{4} + 5271 x^{3} + 1262 x^{2} - 4458 x - 187032$ $2^{9}\cdot 3^{4}\cdot 7^{7}\cdot 13^{7}$ $S_3^2$ (as 9T8) $[3, 3, 18]$ $43456.303749664956$
9.1.2146055133681216576.1 $x^{9} - 3 x^{8} + 6 x^{7} - 99 x^{6} + 372 x^{5} - 279 x^{4} + 2703 x^{3} - 2610 x^{2} + 2700 x + 27000$ $2^{6}\cdot 3^{10}\cdot 7^{6}\cdot 13^{6}$ $C_3^2:C_2$ (as 9T5) $[3, 3, 18]$ $12087.707677111599$
9.1.2237509978224568128.1 $x^{9} - 27 x^{7} - 60 x^{6} - 567 x^{5} + 162 x^{4} + 15633 x^{3} - 52290 x^{2} + 63504 x - 28812$ $2^{6}\cdot 3^{19}\cdot 311^{3}$ $S_3^2$ (as 9T8) $[6, 18]$ $74454.36579995655$
9.1.2367243417578765625.1 $x^{9} - 96 x^{6} + 8067 x^{3} - 32768$ $3^{10}\cdot 5^{6}\cdot 37^{6}$ $C_3^2:C_2$ (as 9T5) $[2, 90]$ $18401.353551753822$
9.3.2414841170339528000.3 $x^{9} - 23 x^{7} - 11 x^{6} + 349 x^{5} + 2068 x^{4} + 3350 x^{3} - 3179 x^{2} - 23907 x - 61039$ $-\,2^{6}\cdot 5^{3}\cdot 7^{6}\cdot 37^{6}$ $S_3\times C_3$ (as 9T4) $[117]$ $4290.99924197$
9.3.2700223234725844672.1 $x^{9} - 4 x^{8} - 25 x^{7} - 145 x^{6} - 343 x^{5} - 352 x^{4} - 166 x^{3} - 43 x^{2} - 13 x - 1$ $-\,2^{6}\cdot 13^{3}\cdot 79^{7}$ $S_3\times C_3$ (as 9T4) $[134]$ $2971.7390850139386$
9.1.2778012227169000000.2 $x^{9} - 3 x^{8} - 6 x^{7} + 237 x^{6} - 1752 x^{5} + 6093 x^{4} - 11517 x^{3} + 12510 x^{2} - 7740 x + 2520$ $2^{6}\cdot 3^{10}\cdot 5^{6}\cdot 19^{6}$ $C_3^2:C_2$ (as 9T5) $[3, 3, 18]$ $42438.47256075264$
9.3.3122592338962816083.6 $x^{9} - 39 x^{7} + 624 x^{5} - 2691 x^{4} + 5655 x^{3} + 5967 x^{2} - 42237 x - 6864$ $-\,3^{13}\cdot 7^{4}\cdot 13^{8}$ $C_3 \wr S_3 $ (as 9T20) $[3, 63]$ $38508.2480153$
9.3.3122592338962816083.8 $x^{9} - 3 x^{8} - 9 x^{7} + 228 x^{6} - 348 x^{5} - 612 x^{4} - 7989 x^{3} - 9801 x^{2} - 2547 x + 2040$ $-\,3^{13}\cdot 7^{4}\cdot 13^{8}$ $C_3 \wr S_3 $ (as 9T20) $[6, 18]$ $168904.605078$
9.1.3196337928676458048.1 $x^{9} - 100 x^{6} + 2932 x^{3} - 13824$ $2^{6}\cdot 3^{10}\cdot 7^{6}\cdot 193^{3}$ $S_3^2$ (as 9T8) $[3, 3, 18]$ $10802.513150455248$
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