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Results (displaying all 10 matches)

Label Polynomial Discriminant Galois group Class group
14.6.5796901408038404767744.1 x14 - x12 - 12x10 + 7x8 + 28x6 - 14x4 - 9x2 - 1 \( 2^{14}\cdot 29^{12} \) $C_2^3:F_8$ (as 14T21) $[2]$
14.6.5796901408038404767744.2 x14 + 6x12 + 3x10 - 33x8 - 49x6 - 2x4 + 16x2 - 1 \( 2^{14}\cdot 29^{12} \) $C_2^3:F_8$ (as 14T21) $[2]$
14.10.29550964508103979773361.1 x14 - 6x13 + 3x12 + 62x11 - 194x10 - 85x9 + 1031x8 - 550x7 - 841x6 + 754x5 - 2204x4 + 1276x3 + 2494x2 - 1479x - 29 \( 17^{4}\cdot 29^{12} \) $C_2^3:F_8$ (as 14T21) Trivial
14.2.29550964508103979773361.1 x14 - 6x13 + 19x12 - 41x11 + 66x10 - 86x9 + 131x8 - 238x7 + 287x6 - 312x5 - 162x4 + 920x3 - 917x2 - 492x - 173 \( 17^{4}\cdot 29^{12} \) $C_2^3:F_8$ (as 14T21) $[2, 2]$
14.10.29550964508103979773361.2 x14 - x13 - 19x12 + 42x11 + 51x10 - 260x9 + 332x8 - 56x7 - 390x6 + 494x5 - 428x4 + 245x3 + 367x2 - 378x - 1 \( 17^{4}\cdot 29^{12} \) $C_2^3:F_8$ (as 14T21) Trivial
14.6.29550964508103979773361.2 x14 - 5x13 + x12 + 49x11 - 80x10 - 83x9 + 277x8 - 425x7 + 224x6 + 1480x5 - 2281x4 - 1891x3 + 2948x2 + 2643x + 389 \( 17^{4}\cdot 29^{12} \) $C_2^3:F_8$ (as 14T21) Trivial
14.6.29550964508103979773361.3 x14 - 6x13 + 3x12 + 62x11 - 281x10 + 582x9 - 738x8 + 1132x7 - 2059x6 + 3799x5 - 5655x4 + 5597x3 - 6061x2 + 3828x + 493 \( 17^{4}\cdot 29^{12} \) $C_2^3:F_8$ (as 14T21) Trivial
14.2.654698590982350051753984.1 x14 + 13x12 + 54x10 + 75x8 - 2x6 - 44x4 - 17x2 - 1 \( 2^{14}\cdot 43^{12} \) $C_2^3:F_8$ (as 14T21) Trivial (GRH)
14.14.32080230958135152535945216.1 x14 - 33x12 + 436x10 - 2922x8 + 10329x6 - 17954x4 + 12285x2 - 2401 \( 2^{14}\cdot 7^{2}\cdot 43^{12} \) $C_2^3:F_8$ (as 14T21) Trivial (GRH)
14.14.32080230958135152535945216.2 x14 - 32x12 + 359x10 - 1693x8 + 3335x6 - 2378x4 + 630x2 - 49 \( 2^{14}\cdot 7^{2}\cdot 43^{12} \) $C_2^3:F_8$ (as 14T21) Trivial


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