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Results (displaying all 6 matches)

Label Polynomial Discriminant Galois group Class group
6.0.3006256887635270172649443.1 x6 - 111169x3 + 1373887262639809 \( -\,3^{9}\cdot 19^{4}\cdot 5851^{4} \) $C_6$ (as 6T1) $[3, 3, 3, 3, 3, 668163]$ (GRH)
6.0.8022101987542393844739387.1 x6 - 3x5 + 6x4 + 492191x3 - 738291x2 - 738300x + 60565210000 \( -\,3^{11}\cdot 7^{4}\cdot 11719^{4} \) $S_3$ (as 6T2) $[3, 3, 3, 2646, 2646]$ (GRH)
6.0.9108286536278403947566107.1 x6 - 3x5 + 6x4 + 508067x3 - 762105x2 - 762114x + 64535305444 \( -\,3^{11}\cdot 7^{4}\cdot 12097^{4} \) $S_3$ (as 6T2) $[3, 3, 3, 3186, 3186]$ (GRH)
6.0.24032589566657975139769947.1 x6 - 3x5 + 6x4 + 647535x3 - 971307x2 - 971316x + 104828307984 \( -\,3^{7}\cdot 7^{4}\cdot 23^{4}\cdot 2011^{4} \) $S_3$ (as 6T2) $[3, 6, 6, 1740, 1740]$ (GRH)
6.0.26986934371650677199689787.1 x6 - 3x5 + 6x4 + 666579x3 - 999873x2 - 999882x + 111084890436 \( -\,3^{7}\cdot 23^{4}\cdot 43^{4}\cdot 337^{4} \) $S_3$ (as 6T2) $[3, 6, 6, 1596, 1596]$ (GRH)
6.0.43640378966014176369738672.1 x6 - 3x5 + 6x4 + 751685x3 - 1127532x2 - 1127541x + 141260967409 \( -\,2^{4}\cdot 3^{11}\cdot 37^{4}\cdot 1693^{4} \) $S_3$ (as 6T2) $[3, 3, 6, 18, 414, 414]$ (GRH)


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