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Label Polynomial Discriminant Galois group Class group
22.0.615...816.1 x22 - 11x20 + 33x18 - 66x17 - 44x16 + 308x15 + 253x14 - 44x13 + 913x12 + 1840x11 + 1309x10 - 814x9 + 2904x8 + 4752x7 + 7117x6 - 4004x5 + 825x4 - 44x3 + 6721x2 - 5434x + 1644 \( -\,2^{36}\cdot 11^{23} \) 22T14 trivial (GRH)
22.0.366...000.1 x22 - 11x21 + 55x20 - 154x19 + 187x18 + 363x17 - 2255x16 + 5016x15 - 5082x14 - 2046x13 + 13442x12 - 15368x11 + 6358x10 - 33242x9 + 159434x8 - 361944x7 + 546073x6 - 684519x5 + 779031x4 - 754798x3 + 577951x2 - 314545x + 86485 \( -\,2^{20}\cdot 5^{8}\cdot 11^{23} \) 22T14 trivial (GRH)
22.6.266...312.1 x22 - 11x21 + 44x20 - 44x19 - 231x18 + 825x17 - 550x16 - 1540x15 - 968x14 + 23056x13 - 65956x12 + 98910x11 - 90409x10 + 22077x9 + 172414x8 - 515240x7 + 704264x6 - 400400x5 - 37840x4 + 72512x3 + 32560x2 + 3696x - 9888 \( 2^{24}\cdot 3^{11}\cdot 11^{23} \) 22T14 trivial (GRH)
22.6.113...125.1 x22 - 9x21 + 41x20 - 140x19 + 383x18 - 720x17 + 530x16 + 1506x15 - 7373x14 + 22033x13 - 51771x12 + 76979x11 - 19458x10 - 188822x9 + 431163x8 - 422621x7 + 84439x6 + 244344x5 - 239399x4 + 37800x3 + 53515x2 - 17850x - 6300 \( 5^{8}\cdot 7^{15}\cdot 11^{19} \) 22T14 trivial (GRH)
22.22.311...032.1 x22 - 187x20 - 198x19 + 14278x18 + 29062x17 - 561253x16 - 1673936x15 + 11663817x14 + 47695890x13 - 112009051x12 - 695875072x11 + 142254739x10 + 4865875674x9 + 4465613977x8 - 13937355960x7 - 24242610414x6 + 8705909278x5 + 39169758474x4 + 16385057678x3 - 12622704501x2 - 10348950480x - 1841628392 \( 2^{24}\cdot 3^{11}\cdot 11^{27}\cdot 41^{8} \) 22T14 trivial (GRH)
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