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Label Polynomial Discriminant Galois group Class group
9.3.203297472.1 x9 - 3x7 - x6 + 3x5 + 2x4 + 4x3 - x2 - 5x + 1 \( -\,2^{6}\cdot 3^{3}\cdot 7^{6} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.272097792.1 x9 - 3x8 + 7x6 - 3x5 - 9x4 + 3x3 + 6x2 - 1 \( -\,2^{9}\cdot 3^{12} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.308915776.1 x9 - x8 - 2x7 - x6 + 5x5 + x4 - 5x3 + 2x2 + 2x - 1 \( -\,2^{6}\cdot 13^{6} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.707347971.1 x9 - 2x6 + 6x4 - 5x3 - 12x2 - 6x - 1 \( -\,3^{12}\cdot 11^{3} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.806954491.1 x9 - 4x8 + 11x7 - 23x6 + 38x5 - 50x4 + 46x3 - 28x2 + 9x - 1 \( -\,7^{6}\cdot 19^{3} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.918330048.1 x9 - 3x8 + 3x7 - 6x6 + 12x5 - 3x4 - 15x3 + 15x2 - 6x + 1 \( -\,2^{6}\cdot 3^{15} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.941192000.1 x9 - x7 - 3x6 + 5x5 + 2x4 - 10x3 - 5x2 - x - 1 \( -\,2^{6}\cdot 5^{3}\cdot 7^{6} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.1162261467.1 x9 - 3x6 - 6x3 - 1 \( -\,3^{19} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.1270238787.1 x9 - x8 - 3x7 + 2x6 - x5 - x4 + 6x3 - 4x2 + 3x - 1 \( -\,3^{3}\cdot 19^{6} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.1431435383.1 x9 - x8 - 2x7 + 5x6 + 9x5 - 5x4 - 11x3 + 6x2 - 1 \( -\,7^{6}\cdot 23^{3} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.1626379776.1 x9 - 4x8 + 4x7 - x6 + 5x5 - 11x4 + 11x3 - 6x2 + x + 1 \( -\,2^{9}\cdot 3^{3}\cdot 7^{6} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.1793613375.1 x9 - 6x7 - 3x6 + 9x5 + 3x4 - 9x3 + 3x - 1 \( -\,3^{15}\cdot 5^{3} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.2315685267.2 x9 - 4x6 + 3x3 + 1 \( -\,3^{9}\cdot 7^{6} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.2754990144.1 x9 - 3x8 + 3x7 - 6x5 + 15x4 - 21x3 + 15x2 - 6x + 1 \( -\,2^{6}\cdot 3^{16} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.3504881359.1 x9 + 5x7 - 4x6 + 6x5 - 4x4 - 10x3 - x2 - 2x + 1 \( -\,7^{6}\cdot 31^{3} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.4251528000.1 x9 - 3x8 + 3x6 + 9x5 - 21x4 + 17x3 - 6x2 + 1 \( -\,2^{6}\cdot 3^{12}\cdot 5^{3} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.6466042647.5 x9 - 3x7 - 2x6 + 18x5 - 6x4 - 24x3 + 9x2 - 1 \( -\,3^{12}\cdot 23^{3} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.6588344000.1 x9 - 4x8 + 7x7 + x6 - 23x5 + 32x4 - 22x3 + 11x2 - 5x + 1 \( -\,2^{6}\cdot 5^{3}\cdot 7^{7} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.7346640384.1 x9 + 3x7 - 3x6 + 12x4 - 36x3 + 36x2 - 24x + 8 \( -\,2^{9}\cdot 3^{15} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.7529536000.1 x9 - 3x7 - 7x6 + 3x5 + 14x4 + 20x3 - 7x2 - 21x - 7 \( -\,2^{9}\cdot 5^{3}\cdot 7^{6} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.8340725952.1 x9 - x7 - 3x6 + 9x5 + 2x4 - 24x3 - 9x2 - x - 1 \( -\,2^{6}\cdot 3^{3}\cdot 13^{6} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.10021812416.1 x9 - x8 + 3x7 + 4x6 + 14x5 - 3x4 - 9x3 + 7x2 - 2x - 1 \( -\,2^{6}\cdot 7^{6}\cdot 11^{3} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.12214672127.1 x9 - 4x8 + 5x7 - 8x6 + 10x5 - 8x4 - 11x3 + 14x2 + 8x - 8 \( -\,7^{6}\cdot 47^{3} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.12867859375.1 x9 - 4x8 + 3x7 + 6x6 - 18x5 + 26x4 - 8x3 - 15x2 + 14x - 13 \( -\,5^{6}\cdot 7^{7} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.14765025303.1 x9 + 9x7 - 6x6 + 18x5 - 18x4 + 12x3 - 9x2 + 1 \( -\,3^{16}\cdot 7^{3} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.15832158831.4 x9 + 6x7 - 3x6 + 9x5 - 3x4 - 23x3 - 3x - 1 \( -\,3^{12}\cdot 31^{3} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.16542390592.2 x9 - 7x7 - x6 + 28x5 + 28x4 - 16x3 - 28x2 + 8 \( -\,2^{6}\cdot 7^{6}\cdot 13^{3} \) $S_3\times C_3$ (as 9T4) Trivial
9.9.17515230173.1 x9 - 4x8 - 3x7 + 29x6 - 26x5 - 24x4 + 34x3 - 2x2 - 5x + 1 \( 7^{6}\cdot 53^{3} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.19573852375.2 x9 + 7x7 - 4x6 + 14x5 - 14x4 + 10x3 - 7x2 + 1 \( -\,5^{3}\cdot 7^{6}\cdot 11^{3} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.22785532875.2 x9 + 3x7 + 9x5 - 9x4 + 8x3 - 18x + 9 \( -\,3^{12}\cdot 5^{3}\cdot 7^{3} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.24087491072.1 x9 - 7x7 - x6 + 29x5 + 30x4 - 18x3 - 35x2 - 5x + 7 \( -\,2^{9}\cdot 19^{6} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.24162633971.1 x9 - 4x8 + 11x7 - 15x6 + 12x5 + 10x4 - 24x3 + 22x2 - 13x + 1 \( -\,7^{6}\cdot 59^{3} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.24162633971.2 x9 + 10x7 - 4x6 + 24x5 - 8x4 - 3x3 - 4x2 - 4x + 1 \( -\,7^{6}\cdot 59^{3} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.24162633971.3 x9 + 7x7 - 8x6 + 21x5 - 7x4 - 9x3 + 28x2 - 28x + 8 \( -\,7^{6}\cdot 59^{3} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.24162633971.4 x9 - 2x8 + 4x7 - 6x6 + 18x5 + 2x4 - 13x3 - 7x2 - 18x + 13 \( -\,7^{6}\cdot 59^{3} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.27512614111.1 x9 - 3x8 + 4x7 - 10x6 + 5x5 + 19x4 - 49x3 + 131x2 - 153x + 47 \( -\,31^{7} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.29595664791.1 x9 - x8 + 5x7 - x6 - x5 + 27x4 - x3 - 30x2 + 8 \( -\,3^{3}\cdot 7^{7}\cdot 11^{3} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.31524548679.1 x9 + 6x7 - 3x6 + 9x5 - 3x4 - 3x3 - 3x - 1 \( -\,3^{15}\cdot 13^{3} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.32127240704.1 x9 - 2x8 - x7 - x6 + 11x5 - 2x4 - 20x3 + 19x2 - 7x + 1 \( -\,2^{9}\cdot 13^{7} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.36992610368.1 x9 - 2x8 + x6 - 15x5 + 15x4 - 15x3 - 12x2 + 39x - 41 \( -\,2^{6}\cdot 7^{6}\cdot 17^{3} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.38883943647.2 x9 - 6x7 - 4x6 - 9x5 - 12x4 - 31x3 - 54x2 - 36x - 8 \( -\,3^{13}\cdot 29^{3} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.45270270144.5 x9 + 3x7 - 3x6 + 9x5 - 6x4 + 2x3 - 27x2 - 15x - 1 \( -\,2^{6}\cdot 3^{12}\cdot 11^{3} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.45270270144.6 x9 + 3x7 - 5x6 + 27x5 - 12x4 - 20x3 + 9x2 - 3x - 1 \( -\,2^{6}\cdot 3^{12}\cdot 11^{3} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.45270270144.7 x9 - 3x8 + 9x7 - 12x6 + 6x5 + 21x4 - 37x3 + 33x2 - 18x + 3 \( -\,2^{6}\cdot 3^{12}\cdot 11^{3} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.49633171875.1 x9 - 4x7 - 3x6 - 18x5 + 8x4 - 24x3 + 18x2 - 4x - 1 \( -\,3^{3}\cdot 5^{6}\cdot 7^{6} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.51645087424.1 x9 + 7x7 - 11x6 + 35x5 - 28x4 + 24x3 + 7x2 - 7x + 1 \( -\,2^{6}\cdot 7^{6}\cdot 19^{3} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.51645087424.2 x9 - 10x7 - 8x6 + 24x5 + 16x4 - 52x3 - 8x2 + 16x + 8 \( -\,2^{6}\cdot 7^{6}\cdot 19^{3} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.51645087424.3 x9 - 3x8 - 2x7 + 8x6 - 4x5 + 22x4 - 46x3 + 56x2 - 69x + 29 \( -\,2^{6}\cdot 7^{6}\cdot 19^{3} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.55175798943.1 x9 - 6x7 - 9x6 + 9x5 + 9x4 - x3 + 27x - 27 \( -\,3^{12}\cdot 47^{3} \) $S_3\times C_3$ (as 9T4) Trivial
9.3.57207791296.1 x9 - x8 - 5x7 + 2x6 + 16x5 - 7x4 - 23x3 + 23x2 - 8x + 1 \( -\,2^{6}\cdot 19^{7} \) $S_3\times C_3$ (as 9T4) Trivial
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