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Results (displaying all 26 matches)

Label Polynomial Discriminant Galois group Class group
18.0.44889428460986669839.1 x18 - 2x17 + 4x16 - 6x15 + 7x14 - 18x13 + 33x12 - 38x11 + 41x10 - 56x9 + 81x8 - 96x7 + 84x6 - 56x5 + 39x4 - 30x3 + 18x2 - 6x + 1 \( -\,31^{9}\cdot 1303^{2} \) 18T773 Trivial
18.4.2599263699746061406367.2 x18 - 3x17 - 3x16 + 20x15 - 11x14 - 39x13 + 43x12 + 20x11 - 20x10 - 33x9 - 15x8 + 94x7 - 43x6 - 39x5 + 25x4 + 11x3 - 7x2 - x + 1 \( -\,23^{7}\cdot 59^{4}\cdot 251^{2} \) 18T773 Trivial (GRH)
18.6.4001665063285825994752.3 x18 - 3x16 - 4x15 - 5x14 - 4x13 + 18x12 + 34x11 + 4x10 - 6x9 - 9x8 + 24x7 + 27x6 - 16x5 + 15x4 + 16x3 - 4x2 + 1 \( 2^{18}\cdot 37^{7}\cdot 401^{2} \) 18T773 Trivial
18.0.6253780826948691034112.3 x18 + 3x16 + 6x14 + 15x12 + 27x10 + 47x8 + 68x6 + 66x4 + 51x2 + 23 \( -\,2^{18}\cdot 23^{7}\cdot 2647^{2} \) 18T773 Trivial (GRH)
18.4.78174778549439855434607.1 x18 - 5x17 + 11x16 - 19x15 + 22x14 - 13x13 - x12 + 34x11 - 69x10 + 114x9 - 77x8 - 77x7 + 142x6 - 114x5 - 87x4 + 33x3 - 16x2 - 29x - 7 \( -\,23^{9}\cdot 208333^{2} \) 18T773 Trivial (GRH)
18.10.100758244279412523585536.1 x18 - 8x16 - 3x15 + 6x14 - 14x13 + 28x12 + 68x11 - 70x10 - 101x9 + 62x8 + 66x7 - 8x6 - 2x5 - 10x4 - 19x3 - 2x2 + 4x + 1 \( 2^{12}\cdot 101^{7}\cdot 479^{2} \) 18T773 Trivial (GRH)
18.0.130614121991044287168512.3 x18 + 2x16 - x14 + 4x12 + 28x8 - 22x6 - 15x4 + 47x2 + 23 \( -\,2^{18}\cdot 23^{7}\cdot 12097^{2} \) 18T773 Trivial (GRH)
18.0.130614121991044287168512.4 x18 - 4x16 - x14 + 21x12 - 17x10 - 3x8 + 21x6 + 2x4 + 36x2 + 23 \( -\,2^{18}\cdot 23^{7}\cdot 12097^{2} \) 18T773 Trivial (GRH)
18.10.256106564050292863664128.1 x18 - 17x14 - 15x12 + 71x10 + 62x8 - 120x6 - 79x4 + 135x2 - 37 \( 2^{24}\cdot 37^{7}\cdot 401^{2} \) 18T773 Trivial (GRH)
18.6.256106564050292863664128.2 x18 - x16 - 7x14 - 2x12 - 8x10 + 41x8 - 17x6 + 39x4 + 58x2 - 37 \( 2^{24}\cdot 37^{7}\cdot 401^{2} \) 18T773 Trivial (GRH)
18.10.5478279471638295786815488.1 x18 - 2x17 - 5x16 + 8x15 + 11x14 - 8x13 - 78x12 + 250x11 - 130x10 - 892x9 + 1931x8 - 712x7 - 2623x6 + 3996x5 - 963x4 - 2274x3 + 1770x2 - 142x - 139 \( 2^{18}\cdot 37^{9}\cdot 401^{2} \) 18T773 Trivial (GRH)
18.10.6448527633882401509474304.1 x18 - 2x17 - 4x16 + 8x15 + 2x14 + 38x13 - 88x12 - 76x11 - 12x10 + 400x9 + 548x8 - 1636x7 - 708x6 + 2232x5 + 712x4 - 648x3 - 144x2 + 48x + 8 \( 2^{18}\cdot 101^{7}\cdot 479^{2} \) 18T773 Trivial (GRH)
18.6.49715213306514176298975232.1 x18 - 8x17 + 15x16 + 14x15 + 5x14 - 150x13 - 252x12 + 562x11 + 1252x10 + 164x9 - 3633x8 - 3278x7 + 2037x6 + 5756x5 + 2595x4 - 1088x3 + 910x2 - 1482x + 361 \( 2^{24}\cdot 37^{9}\cdot 151^{2} \) 18T773 $[2]$ (GRH)
18.6.110551261054749746454188032.1 x18 - 9x17 + 35x16 - 64x15 - 14x14 + 438x13 - 1527x12 + 3542x11 - 6368x10 + 9247x9 - 11287x8 + 12140x7 - 11456x6 + 9397x5 - 7112x4 + 4705x3 - 2408x2 + 1024x - 268 \( 2^{12}\cdot 37^{9}\cdot 14411^{2} \) 18T773 $[2]$ (GRH)
18.6.142493532772533353405304832.2 x18 - 2x17 - 11x16 + 9x15 + 3x14 + 23x13 - 149x12 + 583x11 - 1403x10 + 1674x9 - 1028x8 + 515x7 - 201x6 - 171x5 + 241x4 - 130x3 + 65x2 - 17x - 1 \( 2^{12}\cdot 37^{9}\cdot 16361^{2} \) 18T773 $[2]$ (GRH)
18.14.225654932797645784457674752.1 x18 - 18x16 + 125x14 - 415x12 + 631x10 - 240x8 - 210x6 - 237x4 + 485x2 - 37 \( 2^{24}\cdot 37^{7}\cdot 11903^{2} \) 18T773 Trivial (GRH)
18.6.388897741590337090526236672.1 x18 - 3x17 - 11x16 + 39x15 + 23x14 - 95x13 - 334x12 + 505x11 + 1684x10 - 1877x9 - 3289x8 - 7565x7 + 26726x6 + 2408x5 - 6746x4 - 73927x3 + 44892x2 + 36817x + 1769 \( 2^{12}\cdot 37^{9}\cdot 151^{2}\cdot 179^{2} \) 18T773 $[2]$ (GRH)
18.14.412705768568473696606355456.1 x18 - 19x16 + 115x14 - 448x12 + 1490x10 - 3595x8 + 5075x6 - 3611x4 + 1044x2 - 101 \( 2^{24}\cdot 101^{7}\cdot 479^{2} \) 18T773 Trivial (GRH)
18.6.412705768568473696606355456.1 x18 + 14x16 + 49x14 - 187x12 - 1921x10 - 5736x8 - 6970x6 - 1461x4 + 2153x2 - 101 \( 2^{24}\cdot 101^{7}\cdot 479^{2} \) 18T773 $[2]$ (GRH)
18.10.9119586097442134617939509248.1 x18 - 2x17 - 10x16 + 50x15 + 37x14 - 174x13 + 49x12 - 616x11 - 933x10 + 950x9 + 1392x8 + 4246x7 + 3542x6 + 1158x5 - 7989x4 - 2622x3 + 783x2 + 2x - 1 \( 2^{18}\cdot 37^{9}\cdot 16361^{2} \) 18T773 $[2]$ (GRH)
18.6.9119586097442134617939509248.2 x18 + 6x16 - 8x15 + 5x14 - 246x13 - 205x12 + 232x11 + 2967x10 + 1392x9 - 6770x8 - 14254x7 - 2080x6 + 26822x5 + 11097x4 - 4856x3 + 267x2 - 934x - 67 \( 2^{18}\cdot 37^{9}\cdot 16361^{2} \) 18T773 $[2]$ (GRH)
18.10.20435476561172359932503130112.1 x18 - 8x17 + 19x16 - 2x15 - 62x14 + 150x13 - 268x12 + 398x11 + 68x10 - 1458x9 + 2610x8 - 1638x7 - 1014x6 + 2354x5 - 888x4 - 462x3 + 215x2 - 6x - 1 \( 2^{24}\cdot 37^{7}\cdot 227^{2}\cdot 499^{2} \) 18T773 Trivial (GRH)
18.14.583653510236296615548128591872.1 x18 - 2x17 - 38x16 + 96x15 + 451x14 - 1746x13 - 1347x12 + 13442x11 - 11009x10 - 40346x9 + 81544x8 + 11940x7 - 158110x6 + 109626x5 + 66887x4 - 98886x3 + 23295x2 + 5840x - 1777 \( 2^{24}\cdot 37^{9}\cdot 16361^{2} \) 18T773 $[2]$ (GRH)
18.14.639653468615902223436413390848.1 x18 - 2x17 - 24x16 + 78x15 + 88x14 - 1055x13 + 1861x12 + 5956x11 - 22172x10 - 9608x9 + 110403x8 - 22072x7 - 305325x6 + 47580x5 + 469728x4 + 90673x3 - 297879x2 - 181767x - 27037 \( 2^{12}\cdot 37^{9}\cdot 67^{2}\cdot 16361^{2} \) 18T773 $[2]$ (GRH)
18.18.37353824655122983395080229879808.2 x18 - 53x16 + 1145x14 - 13142x12 + 87620x10 - 347165x8 + 796303x6 - 965737x4 + 492840x2 - 50653 \( 2^{30}\cdot 37^{9}\cdot 16361^{2} \) 18T773 $[2]$ (GRH)
18.18.340232337372478531880921740869632.1 x18 - 29x16 + 360x14 - 2496x12 + 10554x10 - 27802x8 + 44415x6 - 39209x4 + 14708x2 - 257 \( 2^{18}\cdot 41^{2}\cdot 257^{7}\cdot 3229^{2} \) 18T773 Trivial (GRH)


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