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Results (displaying all 6 matches)

Label Polynomial Discriminant Galois group Class group
15.3.164119544067243368513536.1 x15 - 2x14 + 6x13 + 14x12 + 75x11 - 124x10 - 204x9 + 228x8 + 1255x7 - 74x6 - 1098x5 + 1902x4 - 1523x3 + 584x2 - 704x - 512 \( 2^{18}\cdot 11^{10}\cdot 17^{6} \) $\GL(2,4):C_2$ (as 15T22) Trivial (GRH)
15.3.7097821646486147478982656.1 x15 - 3x14 - 12x13 + 27x12 + 66x11 + 30x10 - 253x9 - 1677x8 + 1017x7 + 3272x6 + 5889x5 + 2808x4 + 2802x3 + 333x2 - 54x - 1062 \( 2^{12}\cdot 3^{20}\cdot 89^{6} \) $\GL(2,4):C_2$ (as 15T22) Trivial (GRH)
15.15.1087405383368698039133945856.1 x15 - 5x14 - 35x13 + 165x12 + 381x11 - 1521x10 - 1787x9 + 4957x8 + 3991x7 - 5407x6 - 4501x5 + 1163x4 + 1371x3 + 81x2 - 81x - 9 \( 2^{14}\cdot 3^{12}\cdot 7^{6}\cdot 101^{6} \) $\GL(2,4):C_2$ (as 15T22) Trivial (GRH)
15.15.1573247311268408410661994496.1 x15 - x14 - 41x13 + 31x12 + 633x11 - 289x10 - 4827x9 + 831x8 + 19599x7 + 1337x6 - 42013x5 - 10815x4 + 43643x3 + 17443x2 - 17037x - 8577 \( 2^{14}\cdot 67^{6}\cdot 101^{6} \) $\GL(2,4):C_2$ (as 15T22) Trivial (GRH)
15.3.60500833661891746134479882241.3 x15 - 45x13 - 18x12 + 1062x11 + 1680x10 - 13977x9 - 43227x8 + 72636x7 + 498495x6 + 400995x5 - 2115414x4 - 6229693x3 - 6780969x2 - 2825475x - 89027 \( 3^{20}\cdot 1609^{6} \) $\GL(2,4):C_2$ (as 15T22) $[3]$ (GRH)
15.3.19404360556860992487792640000000000.1 x15 + 24x13 - 16x12 + 681x11 + 152x10 + 3848x9 + 1968x8 + 137212x7 + 13744x6 - 202366x5 - 230688x4 - 69660x3 + 1125576x2 - 1154736x - 944784 \( 2^{22}\cdot 5^{10}\cdot 7^{10}\cdot 109^{6} \) $\GL(2,4):C_2$ (as 15T22) $[3, 3]$ (GRH)


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