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Results (displaying all 19 matches)

Label Polynomial Discriminant Galois group Class group
22.0.58158698878603618687895783643.1 x22 - 3x11 + 3 \( -\,3^{21}\cdot 11^{18} \) $C_2\times F_{11}$ (as 22T6) Trivial (GRH)
22.2.639745687664639805566853620073.1 x22 - x21 + 14x19 - 11x18 - 42x17 + 99x16 + 27x15 - 297x14 + 205x13 + 473x12 - 780x11 - 121x10 + 1273x9 - 891x8 - 915x7 + 1485x6 - 27x5 - 1166x4 + 1016x3 - 429x2 + 98x - 8 \( 3^{21}\cdot 11^{19} \) $C_2\times F_{11}$ (as 22T6) Trivial (GRH)
22.2.3974743622404285210611376953125.1 x22 - x11 - 1 \( 5^{11}\cdot 11^{22} \) $C_2\times F_{11}$ (as 22T6) Trivial (GRH)
22.0.8744435969289427463345029296875.1 x22 - 11x21 + 55x20 - 154x19 + 220x18 + 44x17 - 913x16 + 1991x15 - 1958x14 - 275x13 + 3795x12 - 5801x11 + 4323x10 - 517x9 - 2475x8 + 2772x7 - 1188x6 - 330x5 + 803x4 - 550x3 + 209x2 - 44x + 4 \( -\,5^{10}\cdot 11^{23} \) $C_2\times F_{11}$ (as 22T6) Trivial (GRH)
22.0.349622146420960826774166244950016.1 x22 - 2x11 + 2 \( -\,2^{32}\cdot 11^{22} \) $C_2\times F_{11}$ (as 22T6) Trivial (GRH)
22.0.81311754447107557425705345638989824.1 x22 + 9 \( -\,2^{22}\cdot 3^{20}\cdot 11^{18} \) $C_2\times F_{11}$ (as 22T6) Trivial (GRH)
22.2.243935263341322672277116036916969472.1 x22 - 3 \( 2^{22}\cdot 3^{21}\cdot 11^{18} \) $C_2\times F_{11}$ (as 22T6) Trivial (GRH)
22.0.716026155870127773233492469657632768.1 x22 + 2 \( -\,2^{43}\cdot 11^{22} \) $C_2\times F_{11}$ (as 22T6) Trivial (GRH)
22.2.716026155870127773233492469657632768.1 x22 - 2 \( 2^{43}\cdot 11^{22} \) $C_2\times F_{11}$ (as 22T6) Trivial (GRH)
22.2.38815855687541847759876728057861328125.1 x22 - 5 \( 5^{21}\cdot 11^{22} \) $C_2\times F_{11}$ (as 22T6) Trivial (GRH)
22.0.168778618179498920541003256266493001728.1 x22 - 88x11 + 2048 \( -\,2^{20}\cdot 7^{11}\cdot 11^{22} \) $C_2\times F_{11}$ (as 22T6) $[22]$ (GRH)
22.0.265223542853498303707290831275917574144.1 x22 - 11x21 + 44x20 - 33x19 - 264x18 + 495x17 + 1331x16 - 5698x15 + 3619x14 + 13915x13 + 14498x12 - 61939x11 - 78386x10 + 27313x9 + 373593x8 - 284306x7 + 237369x6 - 11385x5 + 47520x4 + 99x3 + 4334x2 - 913x + 45 \( -\,2^{20}\cdot 7^{10}\cdot 11^{23} \) $C_2\times F_{11}$ (as 22T6) $[22]$ (GRH)
22.0.45467168995027431750346288226784153957247.1 x22 + 7 \( -\,7^{21}\cdot 11^{22} \) $C_2\times F_{11}$ (as 22T6) Trivial (GRH)
22.22.691317220063227578535949337667555335077888.1 x22 - 44x20 + 836x18 - 8976x16 + 59840x14 - 256256x12 - 124x11 + 704704x10 + 2728x9 - 1208064x8 - 21824x7 + 1208064x6 + 76384x5 - 619520x4 - 109120x3 + 123904x2 + 43648x + 3592 \( 2^{32}\cdot 7^{11}\cdot 11^{22} \) $C_2\times F_{11}$ (as 22T6) Trivial (GRH)
22.22.1086355631527929051985063244906158383693824.1 x22 - 55x20 + 1177x18 - 12551x16 + 72050x14 - 230406x12 - 776x11 + 417890x10 + 1144x9 - 424182x8 + 4048x7 + 227469x6 - 7920x5 - 56419x4 + 2904x3 + 4389x2 + 88x - 35 \( 2^{32}\cdot 7^{10}\cdot 11^{23} \) $C_2\times F_{11}$ (as 22T6) Trivial (GRH)
22.0.162805498773679522226642000000000000000000000.1 x22 + 5 \( -\,2^{22}\cdot 5^{21}\cdot 11^{22} \) $C_2\times F_{11}$ (as 22T6) $[2]$ (GRH)
22.0.7489886492987868304762220621859599238146555904.1 x22 + 6 \( -\,2^{43}\cdot 3^{21}\cdot 11^{22} \) $C_2\times F_{11}$ (as 22T6) $[2]$ (GRH)
22.2.7489886492987868304762220621859599238146555904.1 x22 - 6 \( 2^{43}\cdot 3^{21}\cdot 11^{22} \) $C_2\times F_{11}$ (as 22T6) Trivial (GRH)
22.2.190703128784519537100204438094753684079496921088.1 x22 - 7 \( 2^{22}\cdot 7^{21}\cdot 11^{22} \) $C_2\times F_{11}$ (as 22T6) Trivial (GRH)


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