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Results (displaying all 8 matches)

Label Polynomial Discriminant Galois group Class group
14.0.407483719072587.1 x14 - x13 + 4x12 - x11 + 4x10 + 2x9 - 6x8 + 3x7 - 6x6 + 2x5 + 4x4 - x3 + 4x2 - x + 1 \( -\,3^{15}\cdot 73^{4} \) $A_7\times C_2$ (as 14T47) Trivial
14.0.1667731600838171.1 x14 - 3x13 + 5x12 - 5x11 + 3x10 - 6x9 + 12x8 - 21x7 + 25x6 - 19x5 + 14x4 - 5x3 + 4x2 - x + 1 \( -\,11^{9}\cdot 29^{4} \) $A_7\times C_2$ (as 14T47) Trivial
14.6.120844706781744833.1 x14 - 7x13 + 20x12 - 19x11 - 36x10 + 112x9 - 84x8 - 65x7 + 167x6 - 113x5 - 11x4 + 80x3 - 55x2 + 12x - 1 \( 17^{7}\cdot 131^{4} \) $A_7\times C_2$ (as 14T47) Trivial
14.6.155277354533203125.1 x14 - 10x12 + 41x10 - 90x8 + 114x6 - 85x4 + 35x2 - 5 \( 3^{8}\cdot 5^{9}\cdot 59^{4} \) $A_7\times C_2$ (as 14T47) Trivial
14.0.104052649942678734027.1 x14 - x13 + 10x12 - 19x11 + 22x10 - 46x9 + 23x8 + 223x7 - 394x6 - 152x5 + 734x4 - 191x3 - 473x2 + 185x + 169 \( -\,3^{19}\cdot 547^{4} \) $A_7\times C_2$ (as 14T47) $[2, 2]$
14.0.122975574173606802987.1 x14 - 3x13 - 2x12 + 3x11 + 29x10 + 25x9 - 69x8 - 93x7 + 579x6 + 1357x5 + 2826x4 + 2263x3 + 2130x2 + 494x + 361 \( -\,3^{15}\cdot 29^{4}\cdot 59^{4} \) $A_7\times C_2$ (as 14T47) $[2]$
14.14.155466135854662578125.1 x14 - 7x13 + 3x12 + 72x11 - 114x10 - 223x9 + 438x8 + 377x7 - 659x6 - 448x5 + 383x4 + 290x3 - 20x2 - 31x - 1 \( 5^{7}\cdot 6679^{4} \) $A_7\times C_2$ (as 14T47) Trivial (GRH)
14.14.76324668233417175078125.1 x14 - 3x13 - 22x12 + 65x11 + 160x10 - 475x9 - 423x8 + 1351x7 + 329x6 - 1444x5 - 76x4 + 608x3 - 20x2 - 81x + 11 \( 5^{7}\cdot 149^{4}\cdot 211^{4} \) $A_7\times C_2$ (as 14T47) Trivial (GRH)


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