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Label Polynomial Discriminant Galois group Class group
7.1.38014691.1 x7 - 2x6 - 2x5 + x4 + 6x3 - x - 4 \( -\,11^{3}\cdot 13^{4} \) $F_7$ (as 7T4) Trivial
7.1.52706752.1 x7 - 2 \( -\,2^{6}\cdot 7^{7} \) $F_7$ (as 7T4) Trivial
7.1.102942875.1 x7 + 7x5 + 14x3 + 7x - 1 \( -\,5^{3}\cdot 7^{7} \) $F_7$ (as 7T4) Trivial
7.1.110270727.1 x7 - 3x6 + 3x5 - 3x4 + 3x3 - 3x2 + 10x - 9 \( -\,3^{8}\cdot 7^{5} \) $F_7$ (as 7T4) Trivial
7.1.112021056.1 x7 - x6 + 6x5 - 2x4 + 5x3 + 3x2 + x + 5 \( -\,2^{6}\cdot 3^{6}\cdot 7^{4} \) $F_7$ (as 7T4) Trivial
7.1.127353499.1 x7 - 2x5 - x4 + 4x3 + x2 - 4x - 3 \( -\,7^{3}\cdot 13^{5} \) $F_7$ (as 7T4) Trivial
7.1.144027072.1 x7 - 2x6 + 6x5 - 12x4 + 18x3 - 18x2 + 10x - 2 \( -\,2^{6}\cdot 3^{8}\cdot 7^{3} \) $F_7$ (as 7T4) Trivial
7.1.155649627.1 x7 - 7x4 + 14x3 - 14x2 + 7x - 2 \( -\,3^{3}\cdot 7^{8} \) $F_7$ (as 7T4) Trivial
7.1.157464000.1 x7 - 2x6 + 6x5 - 8x4 + 10x3 - 6x2 + 4x - 2 \( -\,2^{6}\cdot 3^{9}\cdot 5^{3} \) $F_7$ (as 7T4) Trivial
7.1.232339968.1 x7 - x6 + 4x5 - 2x4 + x3 + 3x2 - 5x + 3 \( -\,2^{9}\cdot 3^{3}\cdot 7^{5} \) $F_7$ (as 7T4) Trivial
7.1.307546875.1 x7 - 2x6 + 6x5 - 5x4 + 10x3 - 6x2 + 7x + 4 \( -\,3^{9}\cdot 5^{6} \) $F_7$ (as 7T4) Trivial
7.1.368947264.1 x7 - 7x3 - 14x2 - 7x - 8 \( -\,2^{6}\cdot 7^{8} \) $F_7$ (as 7T4) Trivial
7.1.419904000.1 x7 - 2x6 + 9x5 - 14x4 + 22x3 - 24x2 + 17x - 4 \( -\,2^{9}\cdot 3^{8}\cdot 5^{3} \) $F_7$ (as 7T4) Trivial
7.1.421654016.1 x7 + 7x5 + 14x3 + 7x - 2 \( -\,2^{9}\cdot 7^{7} \) $F_7$ (as 7T4) Trivial
7.1.432081216.1 x7 - 3x6 + 3x5 + x4 + 6x2 + x + 3 \( -\,2^{6}\cdot 3^{9}\cdot 7^{3} \) $F_7$ (as 7T4) Trivial
7.1.518616000.1 x7 - 2x6 - 6x5 + 16x4 + 12x3 - 44x2 - 6x + 50 \( -\,2^{6}\cdot 3^{3}\cdot 5^{3}\cdot 7^{4} \) $F_7$ (as 7T4) Trivial
7.1.562166163.1 x7 - 3x6 + 6x5 - 8x4 + 12x3 - 15x2 + 10x - 9 \( -\,3^{9}\cdot 13^{4} \) $F_7$ (as 7T4) Trivial
7.1.600362847.1 x7 - 3 \( -\,3^{6}\cdot 7^{7} \) $F_7$ (as 7T4) Trivial
7.1.626971072.1 x7 - 2x6 - 2x5 + 10x4 - 24x3 + 32x2 - 20x + 12 \( -\,2^{6}\cdot 7^{3}\cdot 13^{4} \) $F_7$ (as 7T4) Trivial
7.1.641594304.1 x7 - x6 - x5 + 3x4 + 3x3 - 11x2 + 13x - 3 \( -\,2^{6}\cdot 3^{3}\cdot 13^{5} \) $F_7$ (as 7T4) Trivial
7.1.784147392.1 x7 - 18 \( -\,2^{6}\cdot 3^{6}\cdot 7^{5} \) $F_7$ (as 7T4) Trivial
7.1.851324971.1 x7 + 7x5 + 14x3 + 7x - 12 \( -\,7^{5}\cdot 37^{3} \) $F_7$ (as 7T4) Trivial
7.1.959570432.1 x7 - 2x6 + 5x5 - 4x4 - x3 - 34x2 + 11x - 16 \( -\,2^{9}\cdot 37^{4} \) $F_7$ (as 7T4) Trivial
7.1.1008189504.1 x7 - x6 - 3x5 - 3x4 + 12x3 - 9x + 9 \( -\,2^{6}\cdot 3^{8}\cdot 7^{4} \) $F_7$ (as 7T4) Trivial
7.1.1012921875.1 x7 - 3x6 + 6x5 - 5x4 + 5x3 - 4x2 + 7x - 4 \( -\,3^{3}\cdot 5^{6}\cdot 7^{4} \) $F_7$ (as 7T4) Trivial
7.1.1042568000.1 x7 - 3x6 + 9x5 - 9x4 - 10x3 + 24x2 - 19x + 9 \( -\,2^{6}\cdot 5^{3}\cdot 19^{4} \) $F_7$ (as 7T4) Trivial
7.1.1051652187.1 x7 - x6 - x5 - 6x4 - 9x3 - 8x2 - 5x - 2 \( -\,3^{3}\cdot 79^{4} \) $F_7$ (as 7T4) Trivial
7.1.1075648000.1 x7 - 3x6 - 2x5 + 22x4 - 32x3 + 16x2 - 8x + 8 \( -\,2^{9}\cdot 5^{3}\cdot 7^{5} \) $F_7$ (as 7T4) Trivial
7.1.1091586375.1 x7 - 3x6 + 6x5 + 3x4 - 9x3 + 21x2 + 10x + 3 \( -\,3^{8}\cdot 5^{3}\cdot 11^{3} \) $F_7$ (as 7T4) Trivial
7.1.1183786639.1 x7 - 2x6 - 3x5 - 2x4 + 12x3 + 18x2 + 17x + 6 \( -\,7^{4}\cdot 79^{3} \) $F_7$ (as 7T4) Trivial
7.1.1259712000.2 x7 - x6 - 14x4 - 13x3 - 27x2 - 11x - 7 \( -\,2^{9}\cdot 3^{9}\cdot 5^{3} \) $F_7$ (as 7T4) Trivial
7.1.1289671744.1 x7 - x6 - 5x5 + x4 + 8x3 + 8x2 + 5x - 3 \( -\,2^{6}\cdot 67^{4} \) $F_7$ (as 7T4) Trivial
7.1.1332542016.1 x7 - 2x6 + 6x5 - 4x4 + 11x3 + x + 4 \( -\,2^{6}\cdot 3^{6}\cdot 13^{4} \) $F_7$ (as 7T4) Trivial
7.1.1347491619.1 x7 - 3x6 + 9x5 - 14x4 + 9x3 - 18x2 + 3x - 18 \( -\,3^{8}\cdot 59^{3} \) $F_7$ (as 7T4) Trivial
7.1.1423082304.1 x7 - 7x5 + 14x3 - 7x - 4 \( -\,2^{6}\cdot 3^{3}\cdot 7^{7} \) $F_7$ (as 7T4) Trivial
7.1.1431687488.1 x7 - 3x6 + 11x5 - 17x4 + 32x3 - 24x2 + 25x + 3 \( -\,2^{6}\cdot 7^{5}\cdot 11^{3} \) $F_7$ (as 7T4) Trivial
7.1.1805076171.1 x7 - 3x5 - 6x4 + 6x3 + 12x2 + 3x - 15 \( -\,3^{6}\cdot 19^{5} \) $F_7$ (as 7T4) Trivial
7.1.1809323971.1 x7 + 7x5 + 14x3 + 7x - 3 \( -\,7^{7}\cdot 13^{3} \) $F_7$ (as 7T4) Trivial
7.1.1869629888.1 x7 - 2x6 - 4x5 - 2x4 + 24x3 + 12x2 + 8x - 4 \( -\,2^{6}\cdot 7^{4}\cdot 23^{3} \) $F_7$ (as 7T4) Trivial
7.1.1977326743.1 x7 - 14x4 + 7x3 + 28x2 + 21x + 8 \( -\,7^{11} \) $F_7$ (as 7T4) Trivial
7.1.2058557375.1 x7 + 10x5 - 7x4 + 24x3 - 35x2 + 29x - 14 \( -\,5^{3}\cdot 7^{4}\cdot 19^{3} \) $F_7$ (as 7T4) Trivial
7.1.2270799427.1 x7 - 2x6 + x5 + 17x4 - 22x3 - 21x2 + 55x - 4 \( -\,13^{4}\cdot 43^{3} \) $F_7$ (as 7T4) Trivial
7.1.2502175739.1 x7 - x6 + 7x3 + 21x2 + 7x + 42 \( -\,7^{5}\cdot 53^{3} \) $F_7$ (as 7T4) Trivial
7.1.2623637527.1 x7 - 3x6 + 4x5 - 12x4 + 31x3 - 51x2 + 41x - 25 \( -\,7^{4}\cdot 103^{3} \) $F_7$ (as 7T4) Trivial
7.1.2767587264.1 x7 - x6 + 3x5 + 3x4 - 3x3 - 63x2 + 117x - 63 \( -\,2^{6}\cdot 3^{9}\cdot 13^{3} \) $F_7$ (as 7T4) Trivial
7.1.2860806592.1 x7 - 2x6 + 2x5 + 20x3 - 16x2 + 20x - 4 \( -\,2^{6}\cdot 7^{3}\cdot 19^{4} \) $F_7$ (as 7T4) Trivial
7.1.2941328243.1 x7 - x6 - 8x5 + 6x4 + 20x3 - 22x2 - x + 54 \( -\,7^{4}\cdot 107^{3} \) $F_7$ (as 7T4) Trivial
7.1.2951578112.1 x7 - 14x4 - 7x3 + 14x2 - 7x - 24 \( -\,2^{9}\cdot 7^{8} \) $F_7$ (as 7T4) Trivial
7.1.3112538751.1 x7 - 3x6 + 10x5 - 10x4 + 3x3 + 25x2 - 67x + 61 \( -\,3^{3}\cdot 7^{5}\cdot 19^{3} \) $F_7$ (as 7T4) Trivial
7.1.3116883375.1 x7 - x6 + 6x4 + 2x3 - 2x2 + 4x + 3 \( -\,3^{3}\cdot 5^{3}\cdot 31^{4} \) $F_7$ (as 7T4) Trivial
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