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Results (displaying all 20 matches)

Label Polynomial Discriminant Galois group Class group
14.0.6291359383496543.1 x14 - 2x13 + 3x12 + 5x11 - 21x10 + 42x9 - 29x8 - 37x7 + 177x6 - 308x5 + 385x4 - 333x3 + 217x2 - 94x + 23 \( -\,184607^{3} \) 14T54 Trivial
14.0.157283984587413575.1 x14 - 3x13 + 6x12 - 3x11 + 8x10 - 22x9 + 54x8 - 29x7 - 7x6 - 63x5 + 118x4 - 255x3 - 99x2 + 30x + 697 \( -\,5^{2}\cdot 184607^{3} \) 14T54 Trivial
14.2.229482833943253337.1 x14 - 4x13 + 9x12 - 5x11 - 22x10 + 47x9 - 6x8 - 103x7 + 90x6 + 109x5 - 184x4 - 13x3 + 205x2 - 46x - 109 \( 71^{3}\cdot 8623^{3} \) 14T54 Trivial
14.2.229860869217416009.1 x14 - 2x13 + 9x12 - 11x11 + 21x10 + x9 - 20x8 + 137x7 - 187x6 + 395x5 - 403x4 + 474x3 - 414x2 + 243x - 81 \( 593^{3}\cdot 1033^{3} \) 14T54 Trivial
14.6.229860869217416009.1 x14 - x13 + 2x12 - 3x11 - 17x10 + 83x9 - 189x8 + 307x7 - 407x6 + 336x5 + 76x4 - 619x3 + 702x2 - 313x + 43 \( 593^{3}\cdot 1033^{3} \) 14T54 Trivial
14.0.12272026890292239799.1 x14 - 4x13 + 26x12 - 79x11 + 272x10 - 631x9 + 1437x8 - 2482x7 + 3850x6 - 4473x5 + 4302x4 - 2694x3 + 1149x2 - 54x + 109 \( -\,107^{3}\cdot 21557^{3} \) 14T54 $[2]$
14.8.12272026890292239799.1 x14 - 7x13 + 17x12 + 5x11 - 129x10 + 279x9 - 59x8 - 741x7 + 1251x6 - 237x5 - 1340x4 + 1237x3 + 252x2 - 733x - 109 \( -\,107^{3}\cdot 21557^{3} \) 14T54 Trivial
14.4.13298694865517712743.1 x14 - 2x13 + x12 + 17x11 - 48x10 + 56x9 + 15x8 - 256x7 + 331x6 - 302x5 - 332x4 + 488x3 - 417x2 - 144x + 353 \( -\,23^{3}\cdot 239^{3}\cdot 431^{3} \) 14T54 Trivial
14.4.17919711399714597719.1 x14 - 6x13 + 24x12 - 62x11 + 103x10 - 80x9 - 122x8 + 280x7 - 148x6 - 546x5 + 819x4 - 146x3 - 595x2 + 418x + 299 \( -\,61^{3}\cdot 42899^{3} \) 14T54 Trivial
14.8.17919711399714597719.1 x14 - 5x13 + 46x11 - 104x10 - 9x9 + 425x8 - 655x7 - 81x6 + 1100x5 - 778x4 - 378x3 + 416x2 + 130x + 43 \( -\,61^{3}\cdot 42899^{3} \) 14T54 Trivial
14.6.1783887179935336803641.1 x14 + x12 - 111x10 - 5x9 - 116x8 - 446x7 - 140x6 - 120x5 + 1265x4 + 1635x3 - 25x2 - 1497x - 491 \( 29^{4}\cdot 31^{3}\cdot 4391^{3} \) 14T54 Trivial
14.6.3759846751326262673408.1 x14 - 44x12 + 832x10 - 8982x8 + 60845x6 - 257221x4 + 612233x2 - 612233 \( 2^{14}\cdot 71^{3}\cdot 8623^{3} \) 14T54 Trivial (GRH)
14.10.8162357716043213196457.1 x14 - 6x13 - 2x12 + 53x11 - 52x10 + 134x9 - 408x8 - 966x7 + 2454x6 - 2033x5 + 6188x4 - 2867x3 - 4228x2 + 1130x - 59 \( 71^{3}\cdot 283583^{3} \) 14T54 Trivial (GRH)
14.2.8162357716043213196457.1 x14 - 7x13 + 47x12 - 191x11 + 667x10 - 1751x9 + 3812x8 - 6557x7 + 8850x6 - 9154x5 + 5921x4 - 1632x3 - 2648x2 + 2642x - 1867 \( 71^{3}\cdot 283583^{3} \) 14T54 $[2]$
14.6.8162357716043213196457.1 x14 - 6x13 + 22x12 - 71x11 + 33x10 + 52x9 - 841x8 + 1236x7 - 1200x6 - 2860x5 + 6841x4 - 5539x3 - 5874x2 + 9460x + 259 \( 71^{3}\cdot 283583^{3} \) 14T54 Trivial
14.10.8162357716043213196457.2 x14 - 3x13 - 2x12 - 17x11 + 49x10 + 63x9 - 626x8 + 2779x7 + 427x6 - 12220x5 + 6108x4 + 6963x3 - 4068x2 - 286x + 173 \( 71^{3}\cdot 283583^{3} \) 14T54 Trivial (GRH)
14.0.140502435866955853458751.1 x14 - 2x13 + 41x12 - 82x11 + 889x10 - 2165x9 + 13716x8 - 34620x7 + 136444x6 - 290952x5 + 750275x4 - 1167525x3 + 1937335x2 - 1728557x + 1560373 \( -\,107^{5}\cdot 21557^{3} \) 14T54 $[14]$ (GRH)
14.2.4717811198979405309189241.1 x14 - 5x13 + 67x12 - 227x11 + 1616x10 - 3926x9 + 18994x8 - 35611x7 + 117192x6 - 204216x5 + 329208x4 - 841056x3 + 191744x2 - 1853568x + 318848 \( 17^{5}\cdot 23^{3}\cdot 64879^{3} \) 14T54 $[4, 16]$ (GRH)
14.14.133732068819652005010751488.1 x14 - 103x12 + 4160x10 - 84649x8 + 932406x6 - 5573793x4 + 16873888x2 - 20134393 \( 2^{14}\cdot 71^{3}\cdot 283583^{3} \) 14T54 Trivial (GRH)
14.14.133732068819652005010751488.2 x14 - 132x12 + 5880x10 - 121463x8 + 1290732x6 - 7152334x4 + 19387334x2 - 20134393 \( 2^{14}\cdot 71^{3}\cdot 283583^{3} \) 14T54 Trivial (GRH)


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