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Results (displaying all 8 matches)

Label Polynomial Discriminant Galois group Class group
18.0.12213256064722484031.1 x18 - 3x17 - 3x16 + 9x15 + 24x14 - 30x13 - 78x12 + 60x11 + 141x10 - 56x9 - 150x8 + 12x7 + 81x6 + 12x5 - 15x4 - 3x3 + 3x2 + 3x + 1 \( -\,3^{33}\cdot 13^{3} \) $C_3\times S_3\wr C_2$ (as 18T93) Trivial
18.0.16369786239449258043.1 x18 - 3x15 - 3x12 + 20x9 + 33x6 - 12x3 + 1 \( -\,3^{30}\cdot 43^{3} \) $C_3\times S_3\wr C_2$ (as 18T93) Trivial
18.6.378405680201227970703125.1 x18 - x17 + 3x16 - 21x14 + 8x13 - 61x12 + 9x11 + 34x10 - 48x9 + 212x8 - 57x7 + 149x6 - 48x5 + 10x4 + x3 - 11x2 + 2x - 1 \( 5^{9}\cdot 7^{12}\cdot 241^{3} \) $C_3\times S_3\wr C_2$ (as 18T93) Trivial (GRH)
18.12.2518170116818978404827136.1 x18 - 9x16 - 18x13 + 138x12 + 144x11 - 207x10 - 324x9 - 99x8 + 450x7 + 369x6 - 432x5 - 351x4 + 162x3 + 153x2 + 18x - 3 \( -\,2^{24}\cdot 3^{36} \) $C_3\times S_3\wr C_2$ (as 18T93) Trivial
18.12.2889069193792436475743559.1 x18 - 3x17 - 3x16 + 29x15 - 26x14 - 87x13 + 156x12 + 36x11 - 300x10 + 229x9 + 15x8 - 525x7 + 630x6 + 677x5 - 678x4 - 533x3 + 175x2 + 177x + 29 \( -\,3^{9}\cdot 7^{12}\cdot 13^{9} \) $C_3\times S_3\wr C_2$ (as 18T93) Trivial (GRH)
18.6.52370069148219691512889344.1 x18 - 9x16 - 24x15 - 54x14 - 90x13 - 36x12 + 180x11 + 171x10 + 40x9 + 9x8 + 126x7 - 453x6 - 72x5 + 171x4 + 378x3 - 261x2 - 90x + 37 \( 2^{18}\cdot 3^{36}\cdot 11^{3} \) $C_3\times S_3\wr C_2$ (as 18T93) Trivial
18.18.1580292385193027308673828125.1 x18 - 2x17 - 28x16 + 48x15 + 282x14 - 420x13 - 1262x12 + 1718x11 + 2548x10 - 3446x9 - 2165x8 + 3163x7 + 695x6 - 1290x5 - 24x4 + 203x3 - 13x2 - 10x + 1 \( 5^{9}\cdot 7^{12}\cdot 3881^{3} \) $C_3\times S_3\wr C_2$ (as 18T93) Trivial (GRH)
18.18.1379190349911729435699462890625.1 x18 - 45x16 - 30x15 + 675x14 + 810x13 - 4275x12 - 7200x11 + 10800x10 + 25925x9 - 5400x8 - 38475x7 - 13725x6 + 19125x5 + 12375x4 - 1875x3 - 2250x2 + 125 \( 3^{32}\cdot 5^{15}\cdot 29^{3} \) $C_3\times S_3\wr C_2$ (as 18T93) Trivial (GRH)


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