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Label Polynomial Discriminant Galois group Class group
11.1.41943325311670611.1 x11 + 4x - 1 \( -\,3\cdot 2963\cdot 31513\cdot 149733923 \) $S_{11}$ (as 11T8) $[2]$
11.1.74046177941851136.1 x11 + 6x - 2 \( -\,2^{10}\cdot 7\cdot 177379\cdot 58237463 \) $S_{11}$ (as 11T8) $[2]$
11.1.7255941120000000000.1 x11 + 90x7 - 96x6 + 720x4 - 855x3 + 1728x - 2160 \( -\,2^{22}\cdot 3^{11}\cdot 5^{10} \) $S_{11}$ (as 11T8) $[2]$ (GRH)
11.1.20691393861251172096.1 x11 + 9x - 6 \( -\,2^{8}\cdot 3^{10}\cdot 539621\cdot 2536579 \) $S_{11}$ (as 11T8) $[2]$ (GRH)
11.1.24186470400000000000.1 x11 - 2x10 - 14x9 + 32x8 + 56x7 - 160x6 - 28x5 + 152x4 + 74x3 - 68x2 - 44x - 8 \( -\,2^{23}\cdot 3^{10}\cdot 5^{11} \) $S_{11}$ (as 11T8) $[2]$ (GRH)
11.1.85899346205311670611.1 x11 + 8x - 1 \( -\,187699\cdot 16589257\cdot 27586777 \) $S_{11}$ (as 11T8) $[2]$ (GRH)
11.1.85899638079150705664.1 x11 + 8x - 2 \( -\,2^{10}\cdot 84261157\cdot 995552023 \) $S_{11}$ (as 11T8) $[2]$ (GRH)
11.1.146932807680000000000.1 x11 - x10 - 5x9 - 35x8 + 80x7 + 112x6 + 288x5 - 1440x4 + 1728x - 1728 \( -\,2^{20}\cdot 3^{15}\cdot 5^{10} \) $S_{11}$ (as 11T8) $[2]$ (GRH)
11.1.232190115840000000000.1 x11 - 5x8 + 12x6 + 40x5 + 45x3 + 36x + 15 \( -\,2^{27}\cdot 3^{11}\cdot 5^{10} \) $S_{11}$ (as 11T8) $[2]$ (GRH)
11.1.286577806180342334464.1 x11 - 7x - 8 \( -\,2^{10}\cdot 857\cdot 326559088504073 \) $S_{11}$ (as 11T8) $[2]$ (GRH)
11.1.306351073620342334464.1 x11 + x - 8 \( -\,2^{10}\cdot 3\cdot 2237\cdot 44579193910351 \) $S_{11}$ (as 11T8) $[2]$ (GRH)
11.1.313810596375311670611.1 x11 + 9x - 1 \( -\,23384419\cdot 13419644780369 \) $S_{11}$ (as 11T8) $[2]$ (GRH)
11.3.605000000000000000000.1 x11 - 4x10 + 320x6 - 1680x5 + 3900x4 - 5075x3 + 3900x2 - 1680x + 320 \( 2^{18}\cdot 5^{19}\cdot 11^{2} \) $S_{11}$ (as 11T8) $[2]$ (GRH)
11.1.620161669700342334464.1 x11 + 9x - 8 \( -\,2^{10}\cdot 32261\cdot 18772717230301 \) $S_{11}$ (as 11T8) $[2]$ (GRH)
11.1.908920936589684939011.1 x11 - 8x - 9 \( -\,7\cdot 13\cdot 29\cdot 5653\cdot 60926710628633 \) $S_{11}$ (as 11T8) $[2]$ (GRH)
11.1.994778339469684939011.1 x11 - 4x - 9 \( -\,97\cdot 101293\cdot 547747\cdot 184839653 \) $S_{11}$ (as 11T8) $[2]$ (GRH)
11.1.994820282499684939011.1 x11 - x - 9 \( -\,7\cdot 433\cdot 121063\cdot 2711110774787 \) $S_{11}$ (as 11T8) $[2]$ (GRH)
11.1.994862225549684939011.1 x11 + 4x - 9 \( -\,157\cdot 199\cdot 12708721\cdot 2505580537 \) $S_{11}$ (as 11T8) $[2, 2]$ (GRH)
11.1.995308563759684939011.1 x11 + 5x - 9 \( -\,13\cdot 277\cdot 64037\cdot 4316220682903 \) $S_{11}$ (as 11T8) $[2]$ (GRH)
11.1.1619826067865600000000.1 x11 - x10 - 9x9 + 9x8 - 24x7 + 56x6 + 224x5 - 384x4 + 384x3 - 1024x2 + 1080x + 200 \( -\,2^{21}\cdot 5^{8}\cdot 7^{11} \) $S_{11}$ (as 11T8) $[3]$ (GRH)
11.3.4671932992153177817088.1 x11 - 33x8 + 6912 \( 2^{25}\cdot 3^{10}\cdot 11^{9} \) $S_{11}$ (as 11T8) $[2]$ (GRH)
11.1.22290251120640000000000.1 x11 - x10 - 5x9 - 35x8 + 80x7 + 112x6 + 288x5 - 1440x4 + 2304x - 2304 \( -\,2^{32}\cdot 3^{12}\cdot 5^{10} \) $S_{11}$ (as 11T8) $[2]$ (GRH)
11.1.29023764480000000000000.1 x11 + 90x7 - 64x6 + 1080x4 - 855x3 + 3888x - 3240 \( -\,2^{27}\cdot 3^{11}\cdot 5^{13} \) $S_{11}$ (as 11T8) $[2]$ (GRH)
11.1.34857547187097600000000.1 x11 - x10 - 29x9 + 37x8 + 305x7 - 521x6 - 1237x5 + 3325x4 - 85x3 - 7875x2 + 11025x - 5145 \( -\,2^{18}\cdot 3^{10}\cdot 5^{8}\cdot 7^{8} \) $S_{11}$ (as 11T8) $[2]$ (GRH)
11.3.36442794820015380778081.1 x11 + 20x9 - 26x8 + 72x7 - 137x6 + 199x5 - 212x4 + 98x3 - 11x2 + x - 1 \( 661^{8} \) $M_{11}$ (as 11T6) $[2]$ (GRH)
11.1.188434630683511505289216.1 x11 - 22x7 + 121x3 - 192 \( -\,2^{25}\cdot 3^{9}\cdot 11^{11} \) $S_{11}$ (as 11T8) $[2]$ (GRH)
11.1.3603000625000000000000000.1 x11 - 3x10 - 25x9 + 195x8 + 270x7 - 3642x6 + 4226x5 + 39450x4 - 55695x3 - 169795x2 + 510231x + 985507 \( -\,2^{15}\cdot 5^{19}\cdot 7^{8} \) $S_{11}$ (as 11T8) $[2]$ (GRH)
11.1.7577855942920355943640064.3 x11 - 22 \( -\,2^{10}\cdot 11^{21} \) $F_{11}$ (as 11T4) $[2]$ (GRH)
11.1.10883911680000000000000000.1 x11 - 25x8 + 300x6 + 1000x5 + 5625x3 + 22500x + 9375 \( -\,2^{27}\cdot 3^{12}\cdot 5^{16} \) $S_{11}$ (as 11T8) $[2]$ (GRH)
11.1.162512240934979374477176655.1 x11 + 11x9 - 216513 \( -\,3^{12}\cdot 5\cdot 11^{19} \) $S_{11}$ (as 11T8) $[3]$ (GRH)
11.1.172429464239830746808713216.1 x11 - 55x9 - 154x8 - 1760x7 - 11616x6 - 3124x5 - 51656x4 - 267476x3 - 202928x2 + 282876x - 985560 \( -\,2^{21}\cdot 3^{9}\cdot 11^{15} \) $S_{11}$ (as 11T8) $[2]$ (GRH)
11.1.185657340403087442057988864.1 x11 - 11616x2 + 38016x - 31104 \( -\,2^{8}\cdot 3^{26}\cdot 11^{11} \) $S_{11}$ (as 11T8) $[2]$ (GRH)
11.1.434153389094810508186353664.1 x11 - 22x8 - 12288 \( -\,2^{33}\cdot 3^{11}\cdot 11^{11} \) $S_{11}$ (as 11T8) $[2]$ (GRH)
11.1.1485258723224699536463910912.1 x11 - 11x9 - 118098 \( -\,2^{11}\cdot 3^{26}\cdot 11^{11} \) $S_{11}$ (as 11T8) $[2]$ (GRH)
11.1.1485258723224699536463910912.2 x11 - 144342x2 - 2125764 \( -\,2^{11}\cdot 3^{26}\cdot 11^{11} \) $S_{11}$ (as 11T8) $[2]$ (GRH)
11.3.1701946377791783994524613696.4 x11 - 132x9 - 638x8 + 7260x7 + 43560x6 - 18876x5 - 1019304x4 - 3972672x3 - 6496248x2 - 2230272x + 5287392 \( 2^{6}\cdot 3^{14}\cdot 11^{18} \) $\PSL(2,11)$ (as 11T5) $[3]$ (GRH)
11.1.2465370884702501917994502144.1 x11 - 11x9 - 484x8 + 627x7 + 13772x6 + 21703x5 - 366036x4 - 76208x3 + 4361588x2 - 10159776x + 11073344 \( -\,2^{11}\cdot 3^{9}\cdot 11^{19} \) $S_{11}$ (as 11T8) $[2]$ (GRH)
11.1.4457994853296875000000000000.1 x11 + 880x - 800 \( -\,2^{12}\cdot 5^{18}\cdot 11^{11} \) $S_{11}$ (as 11T8) $[2]$ (GRH)
11.1.7255941120000000000000000000.1 x11 - 5x10 - 5x9 + 105x8 - 390x7 - 4322x6 - 10650x5 - 14670x4 - 13805x3 - 9535x2 - 3799x - 1245 \( -\,2^{31}\cdot 3^{11}\cdot 5^{19} \) $S_{11}$ (as 11T8) $[2]$ (GRH)
11.1.25363081849926339178101342208.3 x11 - 4312x4 + 614656 \( -\,2^{17}\cdot 7^{14}\cdot 11^{11} \) $S_{11}$ (as 11T8) $[2]$ (GRH)
11.1.25363081849926339178101342208.5 x11 - 44x9 + 484x7 - 702464 \( -\,2^{17}\cdot 7^{14}\cdot 11^{11} \) $S_{11}$ (as 11T8) $[2]$ (GRH)
11.1.49065605986252532994373054383.1 x11 - 26411x2 - 151263 \( -\,3^{18}\cdot 7^{9}\cdot 11^{12} \) $S_{11}$ (as 11T8) $[2]$ (GRH)
11.3.251402158861673228847103868928.1 x11 + 66x9 - 1881x8 - 21780x7 - 193644x6 - 1085832x5 + 749628x4 + 5588352x3 - 5436288x2 - 1596672x - 819072 \( 2^{22}\cdot 3^{15}\cdot 11^{15} \) $S_{11}$ (as 11T8) $[2]$ (GRH)
11.3.804344866393221914062500000000.1 x11 - 1002375x - 2733750 \( 2^{8}\cdot 3^{8}\cdot 5^{16}\cdot 11^{12} \) $A_{11}$ (as 11T7) $[2]$ (GRH)
11.3.898627687474061949108996031488.1 x11 - 264x9 - 374x8 + 25872x7 + 76296x6 - 1052832x5 - 5170176x4 + 9415296x3 + 112953984x2 + 281521152x + 245113344 \( 2^{10}\cdot 3^{15}\cdot 11^{19} \) $S_{11}$ (as 11T8) $[2]$ (GRH)
11.1.2090387445666559894871442426539.3 x11 - 3107227739 \( -\,7^{10}\cdot 11^{21} \) $F_{11}$ (as 11T4) $[2]$ (GRH)
11.1.2090387445666559894871442426539.9 x11 - 847 \( -\,7^{10}\cdot 11^{21} \) $F_{11}$ (as 11T4) $[2]$ (GRH)
11.1.4242629362474705522877649911808.1 x11 + 9801x7 - 39204x6 - 215622x5 + 2352240x4 + 4263435x3 - 46574352x2 + 38106288x + 381928932 \( -\,2^{18}\cdot 3^{7}\cdot 11^{21} \) $S_{11}$ (as 11T8) $[2]$ (GRH)
11.1.9785454471746327406560000000000.1 x11 + 166375x3 - 6655000 \( -\,2^{14}\cdot 5^{10}\cdot 11^{19} \) $S_{11}$ (as 11T8) $[2, 2]$ (GRH)
11.1.13670701117110296816996623450112.1 x11 + 154x7 - 537824 \( -\,2^{17}\cdot 7^{16}\cdot 11^{12} \) $S_{11}$ (as 11T8) $[2]$ (GRH)
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