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Label Polynomial Discriminant Galois group Class group
15.1.44543599279432079.1 x15 - 4x14 + 4x13 + 4x12 - 5x11 - 13x10 + 20x9 + 4x8 - 15x7 - 13x6 + 27x5 - 4x4 - 8x3 - 2x2 + 6x - 1 \( -\,239^{7} \) $D_{15}$ (as 15T2) trivial
15.1.677952124826430464.1 x15 - x14 + 4x13 + 4x11 - 2x10 - 6x9 - 12x8 - 25x7 + 19x6 - 6x5 + 28x4 + 32x3 - 36x2 + 4x + 4 \( -\,2^{10}\cdot 131^{7} \) $D_{15}$ (as 15T2) trivial
15.1.314...479.1 x15 - 5x14 + 11x13 - 9x12 - 7x11 + 17x10 - x9 - 29x8 + 38x7 - 13x6 - 20x5 + 24x4 + 7x3 - 23x2 + 13x - 1 \( -\,439^{7} \) $D_{15}$ (as 15T2) trivial
15.1.494...375.1 x15 - 6x12 + 9x11 + 20x10 + 57x9 + 29x8 + 27x7 - 53x6 - 44x5 - 84x4 - 43x3 - 100x2 - 75x - 55 \( -\,5^{10}\cdot 47^{7} \) $D_{15}$ (as 15T2) trivial
15.1.602...616.1 x15 - 3x14 + 10x13 - 18x12 + 41x11 - 61x10 + 57x9 - 103x8 + 29x7 - 57x6 + 17x5 - 31x4 + 12x3 - 2x2 + 3x - 1 \( -\,2^{10}\cdot 179^{7} \) $D_{15}$ (as 15T2) trivial
15.1.318...272.1 x15 - 3x14 - 4x13 + 6x12 + 20x11 - 8x10 + 10x9 + 50x8 - 45x7 - 65x6 + 106x5 + 80x4 - 20x3 - 40x2 - 20x - 4 \( -\,2^{10}\cdot 227^{7} \) $D_{15}$ (as 15T2) trivial
15.1.612...591.1 x15 - 3x14 + 6x13 - x12 - 20x11 + 56x10 - 81x9 + 46x8 + 90x7 - 299x6 + 481x5 - 522x4 + 403x3 - 201x2 + 44x + 11 \( -\,11^{7}\cdot 61^{7} \) $D_{15}$ (as 15T2) trivial
15.1.134...751.1 x15 - 5x14 + 9x13 - 6x12 + 7x11 - 12x10 + 17x9 - 29x8 + 2x7 - 4x6 + 21x5 - 9x4 + 53x3 + 12x2 + 25x - 1 \( -\,751^{7} \) $D_{15}$ (as 15T2) $[2]$
15.1.143...287.1 x15 - x14 + 3x13 - 21x12 + 23x11 + 8x10 + 39x9 - 113x8 - 64x7 + 132x6 + 251x5 + 261x4 - 646x3 + 393x2 - 110x + 13 \( -\,7^{10}\cdot 47^{7} \) $D_{15}$ (as 15T2) $[3]$
15.1.151...431.1 x15 - 3x14 + 12x13 - 5x12 + 21x11 + 15x10 + 43x9 + 54x8 + 60x7 + 93x6 + 96x5 + 108x4 + 105x3 + 72x2 + 36x + 9 \( -\,3^{17}\cdot 53^{7} \) $D_{15}$ (as 15T2) trivial
15.1.238...375.1 x15 - 5x14 + 9x13 - 11x12 + 24x11 - 54x10 + 89x9 - 73x8 - 58x7 + 102x6 + 74x5 - 58x4 - 35x3 - 230x2 + 325x - 125 \( -\,5^{7}\cdot 163^{7} \) $D_{15}$ (as 15T2) trivial
15.1.620...712.1 x15 - 3x14 - 3x13 + 18x12 + 3x11 - 153x10 + 454x9 - 589x8 + 269x7 + 134x6 - 187x5 - 11x4 + 163x3 - 146x2 + 68x - 14 \( -\,2^{10}\cdot 347^{7} \) $D_{15}$ (as 15T2) trivial
15.1.813...691.1 x15 - 5x14 + 8x13 + x12 - 12x11 + x10 + 22x9 - 41x8 + 44x7 + 27x6 + 12x5 + 59x4 + 137x3 + 10x2 + 108x + 32 \( -\,971^{7} \) $D_{15}$ (as 15T2) trivial
15.1.105...543.1 x15 - 5x14 + 17x13 - 32x12 + 26x11 + 31x10 - 129x9 + 146x8 - x7 - 163x6 + 214x5 - 153x4 + 36x3 + 17x2 + 19x - 19 \( -\,19^{7}\cdot 53^{7} \) $D_{15}$ (as 15T2) trivial
15.1.120...375.1 x15 - 4x14 + 15x13 - 35x12 + 81x11 - 154x10 + 281x9 - 520x8 + 867x7 - 1306x6 + 1697x5 - 2077x4 + 2255x3 - 1866x2 + 1049x - 257 \( -\,5^{10}\cdot 103^{7} \) $D_{15}$ (as 15T2) trivial
15.1.176...663.1 x15 - 3x13 - 17x12 - 27x11 + 48x10 + 165x9 + 306x8 - 45x7 - 918x6 - 1251x5 - 633x4 + 2241x3 + 864x2 - 675x - 325 \( -\,3^{20}\cdot 47^{7} \) $D_{15}$ (as 15T2) $[3]$
15.1.246...375.1 x15 - 10x12 + 15x11 - 24x10 + 95x9 - 90x8 + 90x7 - 125x6 + 27x5 + 90x4 + 120x3 + 195x2 + 90x + 33 \( -\,3^{17}\cdot 5^{19} \) $D_{15}$ (as 15T2) trivial
15.1.342...368.1 x15 - 6x14 + 26x13 - 74x12 + 169x11 - 242x10 + 94x9 + 786x8 - 2697x7 + 5514x6 - 7846x5 + 8590x4 - 6977x3 + 4350x2 - 1778x + 490 \( -\,2^{10}\cdot 443^{7} \) $D_{15}$ (as 15T2) trivial
15.1.501...219.1 x15 - 5x14 + 11x13 - 68x11 + 200x10 - 325x9 + 349x8 - 255x7 + 96x6 + 136x5 - 232x4 + 16x3 + 64x2 + 128 \( -\,1259^{7} \) $D_{15}$ (as 15T2) trivial (GRH)
15.1.520...375.1 x15 - 5x14 + 14x13 - 18x12 + 7x11 - 12x10 - 60x9 + 94x8 + 227x7 - 457x6 - 779x5 + 111x4 + 506x3 + 183x2 - 127 \( -\,5^{10}\cdot 127^{7} \) $D_{15}$ (as 15T2) $[2]$
15.1.694...839.1 x15 - 7x14 + 22x13 - 11x12 - 74x11 + 206x10 - 342x9 + 436x8 - 407x7 + 299x6 - 212x5 + 123x4 - 31x3 - 5x2 + 2x + 1 \( -\,1319^{7} \) $D_{15}$ (as 15T2) trivial
15.1.724...103.1 x15 - 6x14 + 16x13 - 24x12 + 38x11 + x10 + 24x9 + 3x8 + 52x7 - 20x6 + 13x5 + 100x4 - 18x3 - 21x2 + 83x + 1 \( -\,1327^{7} \) $D_{15}$ (as 15T2) trivial
15.1.109...728.1 x15 - 5x13 + 15x11 - 2x10 + 17x9 - 156x8 - 156x7 + 454x6 + 120x5 - 1736x4 - 668x3 - 408x2 + 32x - 8 \( -\,2^{10}\cdot 523^{7} \) $D_{15}$ (as 15T2) $[2]$
15.1.119...375.1 x15 - 4x14 + x13 + 10x12 + 11x11 - 75x10 + 116x9 - 188x8 + 476x7 - 855x6 + 932x5 - 1271x4 + 2407x3 - 2920x2 + 2145x - 715 \( -\,5^{10}\cdot 11^{7}\cdot 13^{7} \) $D_{15}$ (as 15T2) trivial
15.1.120...403.1 x15 - 2x13 - 16x12 + 8x11 + 54x10 + 58x9 + 96x8 + 82x7 + 72x6 + 264x5 + 402x4 + 485x3 + 368x2 + 184x + 40 \( -\,1427^{7} \) $D_{15}$ (as 15T2) trivial (GRH)
15.1.131...263.1 x15 - 4x14 + 20x13 - 28x12 + 83x11 - 11x10 + 357x9 + 127x8 + 774x7 + 2177x6 + 2433x5 + 1022x4 + 6820x3 + 7141x2 + 2800x + 313 \( -\,11^{10}\cdot 47^{7} \) $D_{15}$ (as 15T2) trivial (GRH)
15.1.138...263.1 x15 - 6x14 + 15x13 - 16x12 - 24x11 + 108x10 - 116x9 + 54x8 + 216x7 - 258x6 + 87x5 + 117x4 - 264x3 + 18x2 + 108x + 27 \( -\,3^{17}\cdot 101^{7} \) $D_{15}$ (as 15T2) trivial
15.1.160...000.1 x15 - 15x12 - 20x11 - 36x10 + 75x9 + 200x8 + 110x7 - 475x6 - 480x5 + 350x4 + 500x3 - 1100x2 + 500x - 100 \( -\,2^{10}\cdot 5^{19}\cdot 7^{7} \) $D_{15}$ (as 15T2) trivial
15.1.202...384.1 x15 - 7x14 + 20x13 - 32x12 + 27x11 + 5x10 + 21x9 - 267x8 + 615x7 - 795x6 + 1025x5 - 1443x4 + 1530x3 - 1188x2 + 729x - 243 \( -\,2^{10}\cdot 571^{7} \) $D_{15}$ (as 15T2) $[2]$
15.1.231...823.1 x15 - 5x14 + 23x13 - 66x12 + 140x11 - 211x10 + 217x9 - 270x8 + 455x7 - 685x6 + 904x5 - 975x4 + 826x3 - 521x2 + 251x - 75 \( -\,1567^{7} \) $D_{15}$ (as 15T2) trivial
15.1.291...939.1 x15 - x14 + 5x13 + 5x12 + 20x11 + 22x10 + 57x9 + 461x8 + 85x7 - 31x6 - 376x5 + 56x4 + 336x3 - 64x2 - 128x + 64 \( -\,1619^{7} \) $D_{15}$ (as 15T2) trivial (GRH)
15.1.325...904.1 x15 - x14 + 2x13 + 2x12 + 42x11 - 70x10 + 140x9 - 96x8 + 293x7 - 541x6 + 510x5 - 570x4 + 380x3 - 216x2 + 120x - 28 \( -\,2^{10}\cdot 13^{7}\cdot 47^{7} \) $D_{15}$ (as 15T2) trivial
15.1.347...263.1 x15 - 4x14 + 3x13 + 8x12 + 27x11 - 92x10 + 113x9 + 8x8 + 334x7 - 96x6 + 2102x5 - 1080x4 + 2129x3 - 773x2 + 570x - 225 \( -\,7^{10}\cdot 103^{7} \) $D_{15}$ (as 15T2) $[3]$
15.1.356...536.1 x15 - 2x14 - 3x13 - 11x12 + 57x11 + 47x10 + 40x9 - 99x8 + 159x7 + 754x6 + 1337x5 + 1473x4 + 1003x3 + 669x2 + 286x + 121 \( -\,2^{10}\cdot 619^{7} \) $D_{15}$ (as 15T2) trivial (GRH)
15.1.426...000.1 x15 - 7x14 + 32x13 - 114x12 + 352x11 - 874x10 + 1982x9 - 3764x8 + 6467x7 - 9379x6 + 12046x5 - 12842x4 + 11320x3 - 7720x2 + 3200x - 500 \( -\,2^{10}\cdot 5^{7}\cdot 127^{7} \) $D_{15}$ (as 15T2) trivial (GRH)
15.1.669...847.1 x15 - 6x14 + 16x13 - 41x12 + 67x11 - 53x10 + 156x9 - 529x8 + 588x7 + 168x6 - 271x5 - 1281x4 + 1423x3 - 254x2 + 152x - 200 \( -\,1823^{7} \) $D_{15}$ (as 15T2) $[2]$
15.1.669...759.1 x15 - 19x12 + 36x11 - 39x10 + 59x9 - 126x8 + 648x7 - 556x6 + 585x5 + 93x4 + 319x3 - 297x2 + 1116x + 1071 \( -\,3^{20}\cdot 79^{7} \) $D_{15}$ (as 15T2) $[2]$
15.1.709...248.1 x15 - 5x14 + 9x13 - 12x12 - 11x11 + 101x10 - 28x9 - 237x8 + 255x7 - 192x6 - 1149x5 + 1321x4 + 3451x3 - 2676x2 - 1724x - 260 \( -\,2^{10}\cdot 683^{7} \) $D_{15}$ (as 15T2) trivial (GRH)
15.1.724...264.1 x15 - 6x14 + 24x13 - 70x12 + 126x11 - 214x10 + 284x9 - 258x8 + 349x7 - 308x6 + 172x5 - 472x4 + 244x3 - 336x2 + 208x - 256 \( -\,2^{14}\cdot 461^{7} \) $D_{15}$ (as 15T2) trivial (GRH)
15.1.770...344.1 x15 - 3x14 + 18x13 - 46x12 + 134x11 - 262x10 + 548x9 - 748x8 + 1117x7 - 883x6 + 422x5 + 1266x4 - 2232x3 + 4104x2 - 3240x + 972 \( -\,2^{10}\cdot 691^{7} \) $D_{15}$ (as 15T2) $[2]$
15.1.802...991.1 x15 - x14 + 9x13 - 11x12 + 38x11 + 29x10 - 84x9 - 127x8 + 207x7 - 580x6 + 1017x5 - 944x4 + 704x3 - 69x2 - 81x - 19 \( -\,1871^{7} \) $D_{15}$ (as 15T2) trivial
15.1.834...576.1 x15 - 6x14 + 5x13 + 14x12 + 12x11 - 8x10 - 7x9 - 12x8 + 16x7 - 44x6 + 9x5 + 176x4 + 99x3 - 30x2 + 18 \( -\,2^{10}\cdot 3^{7}\cdot 233^{7} \) $D_{15}$ (as 15T2) trivial (GRH)
15.1.123...896.1 x15 + x13 - 18x12 + 32x11 - 50x10 + 129x9 - 114x8 + 232x7 - 146x6 + 73x5 + 238x4 - 249x3 + 270x2 - 232x + 76 \( -\,2^{10}\cdot 739^{7} \) $D_{15}$ (as 15T2) trivial (GRH)
15.1.178...416.1 x15 - 7x14 + 23x13 - 62x12 + 131x11 - 165x10 + 144x9 - 23x8 + 95x7 - 980x6 + 1441x5 - 891x4 - 311x3 + 1416x2 + 1520x - 608 \( -\,2^{10}\cdot 19^{7}\cdot 41^{7} \) $D_{15}$ (as 15T2) trivial
15.1.187...939.1 x15 - 4x14 + 13x13 - 29x12 - 9x11 + 183x10 + 89x9 - 693x8 - 495x7 + 1185x6 + 1953x5 - 895x4 - 3026x3 - 2703x2 - 1158x - 188 \( -\,7^{10}\cdot 131^{7} \) $D_{15}$ (as 15T2) $[3]$
15.1.191...192.1 x15 - 3x14 + 9x13 + 17x12 - 2x11 + 80x10 + 276x9 + 600x8 + 168x7 + 1864x6 + 2920x5 + 6224x4 + 4896x3 + 656x2 - 272x + 16 \( -\,2^{10}\cdot 787^{7} \) $D_{15}$ (as 15T2) trivial (GRH)
15.1.218...519.1 x15 - 15x12 + 14x11 + 101x10 + 110x9 - 304x8 - 603x7 - 60x6 + 921x5 + 1057x4 + 735x3 + 384x2 + 117x + 1 \( -\,17^{7}\cdot 127^{7} \) $D_{15}$ (as 15T2) trivial
15.1.303...875.1 x15 - 2x14 + 2x13 - 9x12 + 49x11 + 172x10 + 646x9 + 1173x8 + 2371x7 + 3456x6 + 4388x5 + 4043x4 + 3358x3 + 1844x2 + 864x + 256 \( -\,5^{10}\cdot 227^{7} \) $D_{15}$ (as 15T2) $[2]$
15.1.345...343.1 x15 - 7x14 + 22x13 - 38x12 + 86x11 - 206x10 + 364x9 - 800x8 - 1462x7 + 615x6 - 6007x5 + 2169x4 - 965x3 - 13194x2 + 6050x - 19375 \( -\,7^{10}\cdot 11^{7}\cdot 13^{7} \) $D_{15}$ (as 15T2) $[3]$ (GRH)
15.1.428...287.1 x15 + 15x13 - 7x12 + 99x11 - 48x10 + 306x9 + 360x8 + 651x7 - 292x6 + 189x5 + 255x4 - 1075x3 - 783x2 + 261x + 603 \( -\,3^{20}\cdot 103^{7} \) $D_{15}$ (as 15T2) trivial (GRH)
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