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Label Polynomial Discriminant Galois group Class group
9.1.239483061.1 x9 - x6 + 1 \( 3^{9}\cdot 23^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.1.486680000.1 x9 - 2x8 + 2x7 + 3x6 - 5x5 + x4 + 5x3 + x + 1 \( 2^{6}\cdot 5^{4}\cdot 23^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.1.586376253.1 x9 + x3 - 1 \( 3^{9}\cdot 31^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.3.1111934656.1 x9 - 3x8 + 5x7 - 2x6 - 4x5 + 7x4 - x3 - x2 - 1 \( -\,2^{6}\cdot 7^{3}\cdot 37^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.1.2116874304.1 x9 - 4x8 + 12x7 - 21x6 + 28x5 - 24x4 + 15x3 - 6x2 + 4x - 1 \( 2^{6}\cdot 3^{3}\cdot 107^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.3.2156689088.1 x9 + x7 - 5x6 - 5x5 - 10x4 - 6x3 - 5x2 - x + 1 \( -\,2^{6}\cdot 17^{3}\cdot 19^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.3.2785366143.1 x9 - 2x6 - 4x3 + 1 \( -\,3^{3}\cdot 7^{3}\cdot 67^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.1.3413679552.1 x9 - 3x8 + 4x7 + x6 - 9x5 + 9x4 - 3x3 - 6x2 + 6x - 3 \( 2^{6}\cdot 3^{7}\cdot 29^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.1.4042474857.1 x9 + 2x3 - 1 \( 3^{9}\cdot 59^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.3.4119083227.1 x9 - x8 - 3x7 + 7x5 + 3x4 - 8x3 - 2x2 + 3x + 1 \( -\,7^{3}\cdot 229^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.1.4169786688.1 x9 - 2x6 - 8 \( 2^{6}\cdot 3^{7}\cdot 31^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.1.4982686912.1 x9 - 3x8 + 6x7 - 7x6 + 7x5 - 3x4 + x3 + 2x - 1 \( 2^{6}\cdot 7^{3}\cdot 61^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.3.5231776256.1 x9 - 2x8 + 6x7 - 9x6 + 2x5 + 7x4 - 18x3 + 13x2 - 7x - 1 \( -\,2^{9}\cdot 7^{3}\cdot 31^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.3.6350622912.1 x9 - x8 - x7 + 6x6 - 6x5 - 3x4 + 9x3 - x2 - 6x - 1 \( -\,2^{6}\cdot 3^{4}\cdot 107^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.3.6466042647.1 x9 - 3x8 + 3x7 - 3x6 + 3x5 + 6x4 - 18x3 + 15x2 - 6x + 4 \( -\,3^{12}\cdot 23^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.1.6602349376.1 x9 - 2x8 + 5x7 - 7x6 + 3x5 - 2x4 - 2x3 + 5x2 + x + 1 \( 2^{6}\cdot 7^{3}\cdot 67^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.3.6772724288.1 x9 - 2x8 - 2x7 + x6 + 13x5 - 13x4 + 3x3 - 4x2 + x + 1 \( -\,2^{6}\cdot 11^{3}\cdot 43^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.1.7783542592.1 x9 + 3x7 - 3x6 + 3x5 - 4x4 + 4x3 - x2 - x + 1 \( 2^{6}\cdot 7^{4}\cdot 37^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.1.8291469824.1 x9 - x8 + 3x6 - 12x4 - 24x3 - 28x2 - 16x - 8 \( 2^{9}\cdot 11^{3}\cdot 23^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.1.8356098429.1 x9 + x7 - 3x6 - 8x5 - 2x4 + 12x3 + 8x2 + x - 1 \( 3^{4}\cdot 7^{3}\cdot 67^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.3.8440225792.1 x9 - 3x8 + 3x7 + 3x6 - 6x5 - 2x4 + 8x3 - 6x - 2 \( -\,2^{13}\cdot 101^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.3.10633486599.1 x9 - 2x6 - 6x3 - 1 \( -\,3^{3}\cdot 733^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.3.10941048000.1 x9 - 3x8 + 5x7 - 8x6 + 6x5 + x4 - 5x3 + 11x2 - 10x + 1 \( -\,2^{6}\cdot 3^{3}\cdot 5^{3}\cdot 37^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.1.11090466000.1 x9 - 3x8 + 7x7 - 12x6 + 13x5 - 14x4 + 7x3 - 6x2 + 4x - 1 \( 2^{4}\cdot 3^{3}\cdot 5^{3}\cdot 59^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.3.11203633152.1 x9 - x7 - 4x6 - 9x5 + 2x4 + x3 + 16x2 + 8x + 2 \( -\,2^{13}\cdot 3^{3}\cdot 37^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.1.11254483521.1 x9 - 2x6 + 2x3 + 1 \( 3^{9}\cdot 83^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.3.11554111408.1 x9 - 2x8 + x7 + 2x6 + 3x4 - 3x3 - 5x2 + 5x - 1 \( -\,2^{4}\cdot 7^{4}\cdot 67^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.1.12961314549.1 x9 - x6 + 2x3 + 1 \( 3^{12}\cdot 29^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.3.13289344000.1 x9 - 3x8 - 2x7 + 12x6 - 4x5 - 10x4 + 2x3 + 6x2 - 4 \( -\,2^{10}\cdot 5^{3}\cdot 47^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.1.13289344000.1 x9 - 3x8 + 7x7 - 13x6 + 22x5 - 30x4 + 32x3 - 26x2 + 14x - 6 \( 2^{10}\cdot 5^{3}\cdot 47^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.3.13631542272.1 x9 - 2x6 - 6x3 + 8 \( -\,2^{10}\cdot 3^{3}\cdot 79^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.1.14738677072.1 x9 - 2x8 + 2x7 - x6 + 6x5 - 7x4 + 8x3 - 5x2 + 3x - 1 \( 2^{4}\cdot 7^{3}\cdot 139^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.3.15326915904.1 x9 - 9x5 - 12x4 - 31x3 - 54x2 - 36x - 8 \( -\,2^{6}\cdot 3^{9}\cdot 23^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.1.15326915904.2 x9 - 4x3 - 8 \( 2^{6}\cdot 3^{9}\cdot 23^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.1.15326915904.3 x9 - 2x6 + 8 \( 2^{6}\cdot 3^{9}\cdot 23^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.3.15832158831.1 x9 + 3x7 - 3x6 - 3x5 - 6x4 - 3x3 + 3x2 + 3x - 1 \( -\,3^{12}\cdot 31^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.1.16880451584.1 x9 - 4x8 + 11x7 - 22x6 + 35x5 - 44x4 + 45x3 - 34x2 + 18x - 4 \( 2^{14}\cdot 101^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.1.17353862469.1 x9 - 4x6 + 7x3 + 1 \( 3^{3}\cdot 863^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.3.17555727799.1 x9 - x8 + x7 + x6 - 5x5 - 9x4 - x3 - 14x2 - 32x - 8 \( -\,23^{3}\cdot 113^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.3.18443443392.2 x9 - 9x7 - x6 + 27x5 + 6x4 - 28x3 - 9x2 + 3x - 1 \( -\,2^{6}\cdot 3^{9}\cdot 11^{4} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.1.19683000000.1 x9 - 3x8 + 3x7 - 8x6 + 12x5 - 3x4 + 9x3 - 9x2 - 6x - 1 \( 2^{6}\cdot 3^{9}\cdot 5^{6} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.1.20544527097.1 x9 - 6x6 + 10x3 - 1 \( 3^{7}\cdot 211^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.3.20751532992.1 x9 - 2x7 - 5x6 + 4x5 + 2x4 - x3 + 4x2 + 2x - 1 \( -\,2^{6}\cdot 3^{3}\cdot 229^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.3.21001731479.1 x9 - 6x7 - 5x6 + 21x5 + 13x4 - 37x3 + 4x2 + 7x + 1 \( -\,31^{3}\cdot 89^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.3.21484952000.1 x9 - 2x8 - x7 - 2x6 + 11x5 + 2x4 - 21x3 + 12x2 + 6x - 2 \( -\,2^{6}\cdot 5^{3}\cdot 139^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.1.22140698112.1 x9 - x6 + 5x3 - 1 \( 2^{9}\cdot 3^{9}\cdot 13^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.1.22140698112.2 x9 - 3x8 + 6x7 - x6 - 15x5 + 39x4 - 45x3 + 24x2 - 6x + 1 \( 2^{9}\cdot 3^{9}\cdot 13^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.3.22347450531.1 x9 - 3x7 - 3x6 - 12x4 - 20x3 + 36x2 + 3x - 13 \( -\,3^{7}\cdot 7^{3}\cdot 31^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.3.22617167552.1 x9 - 4x8 + 5x7 - x6 + x5 - 10x4 + 10x3 + 5x2 - 7x - 1 \( -\,2^{6}\cdot 7^{3}\cdot 101^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
9.1.24112521369.1 x9 - 2x6 + 4x3 - 1 \( 3^{9}\cdot 107^{3} \) $C_3^2 : D_{6} $ (as 9T18) Trivial
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