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Results (displaying all 17 matches)

Label Polynomial Discriminant Galois group Class group
21.3.3219905755813179726837607.1 x21 - 5x14 - 8x7 - 1 \( -\,7^{29} \) $C_3\times D_7$ (as 21T3) Trivial (GRH)
21.3.31095511042786085990206459319.1 x21 - x20 - 7x19 + 6x18 + 3x17 - 30x16 + 72x15 + 134x14 - 49x13 - 195x12 - 375x11 + 190x10 + 878x9 - 233x8 - 491x7 + 177x6 + 32x5 - 47x4 + 21x3 + 10x2 - 4x - 1 \( -\,7^{14}\cdot 71^{9} \) $C_3\times D_7$ (as 21T3) Trivial (GRH)
21.3.26160559119874379648562947375700703.1 x21 - 7x20 + 21x19 - 34x18 - 23x17 - 58x16 - 59x15 + 660x14 - 427x13 - 1196x12 - 8526x11 - 10884x10 + 6174x9 + 21246x8 + 68396x7 + 67348x6 + 39606x5 + 6041x4 - 9224x3 - 6766x2 - 1859x - 197 \( -\,7^{17}\cdot 13^{18} \) $C_3\times D_7$ (as 21T3) Trivial (GRH)
21.21.4807893938270387570039361667473274513.1 x21 - x20 - 42x19 + 45x18 + 679x17 - 739x16 - 5517x15 + 5869x14 + 24849x13 - 25116x12 - 63963x11 + 60287x10 + 91976x9 - 80247x8 - 67381x7 + 54968x6 + 19398x5 - 15878x4 - 214x3 + 599x2 + 7x - 1 \( 7^{14}\cdot 577^{9} \) $C_3\times D_7$ (as 21T3) Trivial (GRH)
21.21.162172589188461288482391931972916633457.1 x21 - 6x20 - 30x19 + 213x18 + 306x17 - 2967x16 - 955x15 + 21012x14 - 3636x13 - 82163x12 + 34194x11 + 179256x10 - 94753x9 - 207960x8 + 117288x7 + 111435x6 - 64710x5 - 15456x4 + 13205x3 - 2085x2 + 99x - 1 \( 3^{28}\cdot 577^{9} \) $C_3\times D_7$ (as 21T3) Trivial (GRH)
21.3.48958786234221774012025092444897160075327.2 x21 - 7x20 + 21x19 - 34x18 + 116x17 + 545x16 - 2200x15 + 3148x14 - 14133x13 - 26711x12 - 65282x11 - 158805x10 + 228083x9 - 139668x8 - 1168123x7 + 426315x6 + 764470x5 - 1534666x4 - 486339x3 + 614026x2 - 225533x + 15197 \( -\,7^{17}\cdot 29^{18} \) $C_3\times D_7$ (as 21T3) $[7, 7]$ (GRH)
21.3.362095812116921075757469201554122678840602303.1 x21 - 2847x14 + 1401686x7 + 62748517 \( -\,7^{29}\cdot 13^{18} \) $C_3\times D_7$ (as 21T3) $[2, 14, 14]$ (GRH)
21.3.362095812116921075757469201554122678840602303.2 x21 - 2899x14 + 927134x7 - 62748517 \( -\,7^{29}\cdot 13^{18} \) $C_3\times D_7$ (as 21T3) $[7]$ (GRH)
21.3.489009118212301150746875247421551446873029171927.1 x21 - 7x20 + 21x19 - 34x18 - 326x17 - 2633x16 + 6276x15 - 262x14 - 62573x13 - 195159x12 + 556052x11 - 18483x10 + 1794625x9 + 26343578x8 + 40153179x7 - 162134041x6 - 214511808x5 + 867279238x4 + 2465480719x3 + 2567288464x2 + 1206871419x + 176307053 \( -\,7^{17}\cdot 71^{18} \) $C_3\times D_7$ (as 21T3) $[7, 7]$ (GRH)
21.3.8129659254492969220523049692132298709650136981663.1 x21 - 7x20 + 21x19 - 34x18 + 1025x17 - 3326x16 - 4791x15 + 35690x14 + 172662x13 - 722735x12 - 2200457x11 + 12122450x10 + 5074902x9 - 104698907x8 + 38398895x7 + 668343838x6 - 226790361x5 - 5051469101x4 + 8934318451x3 - 1381928003x2 - 3420907499x - 581915363 \( -\,7^{17}\cdot 83^{18} \) $C_3\times D_7$ (as 21T3) Trivial (GRH)
21.3.677652621280228828828157332148396859511871800989727.1 x21 - 3915x14 - 19657534x7 + 17249876309 \( -\,7^{29}\cdot 29^{18} \) $C_3\times D_7$ (as 21T3) $[91]$ (GRH)
21.3.345106056724259044401365097473845826722662924269676247.1 x21 - 21361x14 - 434891510x7 - 194754273881 \( -\,7^{29}\cdot 41^{18} \) $C_3\times D_7$ (as 21T3) $[2, 14, 14]$ (GRH)
21.3.813346048087879778563980511306842136329339588568848943.1 x21 - 28853x14 - 217213124x7 - 271818611107 \( -\,7^{29}\cdot 43^{18} \) $C_3\times D_7$ (as 21T3) $[7]$ (GRH)
21.3.813346048087879778563980511306842136329339588568848943.2 x21 - 41753x14 + 250924092x7 - 271818611107 \( -\,7^{29}\cdot 43^{18} \) $C_3\times D_7$ (as 21T3) $[2, 14, 14]$ (GRH)
21.3.1860948596841831834340148197569891276052713687190665695546023.1 x21 - 199917x14 - 8633886580x7 - 80798284478113 \( -\,7^{29}\cdot 97^{18} \) $C_3\times D_7$ (as 21T3) n/a
21.3.1208118584089456158922513033156945063987541141376786725060611567.1 x21 - 40727x14 - 49211282556x7 - 1002544368429379 \( -\,7^{29}\cdot 139^{18} \) $C_3\times D_7$ (as 21T3) n/a
21.3.139977266427636177115248943169979244710221796880560306793077688687.1 x21 - 875135x14 - 155940328818x7 - 6364290927201661 \( -\,7^{29}\cdot 181^{18} \) $C_3\times D_7$ (as 21T3) n/a


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