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Label Polynomial Discriminant Galois group Class group
10.0.306454347.1 x10 - x8 - 2x7 + 2x6 + 2x5 + 2x4 - 3x3 - x + 1 \( -\,3^{5}\cdot 1123^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.0.596683827.1 x10 - x9 - x8 + 3x7 + x6 - 3x5 + x4 + 3x3 - x2 - x + 1 \( -\,3^{5}\cdot 1567^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.0.629098083.1 x10 + x8 - 2x7 - 2x5 + 2x4 - x3 + 2x2 - x + 1 \( -\,3^{5}\cdot 1609^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.0.660765843.1 x10 - x9 + x8 - 2x7 + 2x6 - x5 + 2x4 - x3 - x + 1 \( -\,3^{5}\cdot 17^{2}\cdot 97^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.0.681766875.1 x10 - x9 + x8 + 2x7 - 2x6 + 3x5 + 2x4 - x3 + 2x2 + x + 1 \( -\,3^{5}\cdot 5^{4}\cdot 67^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.0.739941075.1 x10 - x8 - x6 - x5 - 2x4 + 2x3 + 4x2 - 2x + 1 \( -\,3^{5}\cdot 5^{2}\cdot 349^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.0.767328147.1 x10 - x9 + 3x7 - 2x6 - x5 + 2x4 - x2 - x + 1 \( -\,3^{5}\cdot 1777^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.0.859773123.1 x10 - 3x9 + 6x8 - 9x7 + 12x6 - 15x5 + 18x4 - 18x3 + 15x2 - 9x + 3 \( -\,3^{9}\cdot 11^{2}\cdot 19^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.0.881853075.1 x10 - 3x9 + 5x8 - 9x7 + 11x6 - 11x5 + 10x4 - 5x3 + 4x2 - x + 1 \( -\,3^{7}\cdot 5^{2}\cdot 127^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.2.887778125.1 x10 - x9 - x8 - x6 + 4x5 + 2x4 - 5x3 - x2 + 2x - 1 \( 5^{5}\cdot 13^{2}\cdot 41^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.0.944016363.1 x10 - x9 - x8 + 2x6 + x5 - 5x3 + 2x2 + x + 1 \( -\,3^{11}\cdot 73^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.0.976167367.1 x10 + x8 - x7 + 2x6 + x5 + 2x4 - x3 + x2 + 1 \( -\,7^{5}\cdot 241^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.0.978815907.1 x10 - x9 + 3x5 - x + 1 \( -\,3^{9}\cdot 223^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.0.1068570387.1 x10 - 4x8 - x7 + 4x6 + x5 + 4x4 - x3 - 4x2 + 1 \( -\,3^{9}\cdot 233^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.0.1170187264.1 x10 - 2x9 - x8 + 2x7 + 2x6 + 2x5 - 3x4 - 6x3 + 2x2 + 4x + 1 \( -\,2^{10}\cdot 1069^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.0.1257127936.1 x10 + x8 + 2x6 + 2x4 - 3x2 + 1 \( -\,2^{14}\cdot 277^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.0.1282118787.1 x10 - x9 + x7 - 2x5 + 2x3 - x2 + 1 \( -\,3^{5}\cdot 2297^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.0.1587552048.1 x10 - 4x9 + 9x8 - 15x7 + 21x6 - 21x5 + 21x4 - 15x3 + 9x2 - 4x + 1 \( -\,2^{4}\cdot 3^{9}\cdot 71^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.0.1601245827.1 x10 - x9 - 2x8 + 2x6 + x5 + 2x4 - 2x2 - x + 1 \( -\,3^{5}\cdot 17^{2}\cdot 151^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.0.1664231427.1 x10 - x8 - 4x7 + x6 + 3x5 + 4x4 - 2x3 - 2x2 + 1 \( -\,3^{5}\cdot 2617^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.0.1669866496.1 x10 - 2x9 + 3x8 - 4x7 + 8x6 - 8x5 + 7x4 - 6x3 + 6x2 - 4x + 1 \( -\,2^{10}\cdot 1277^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.0.1682085123.1 x10 - x9 - x8 - x7 + x6 + 3x5 + x4 - x3 - x2 - x + 1 \( -\,3^{7}\cdot 877^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.0.1703892672.1 x10 - 3x8 - 3x7 + 3x6 + 5x5 + 3x4 - 3x3 - 3x2 + 1 \( -\,2^{6}\cdot 3^{5}\cdot 331^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.0.1706681344.1 x10 + 3x8 + 5x6 + 2x4 + 4x2 + 1 \( -\,2^{10}\cdot 1291^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.0.1725840675.1 x10 - x9 + x7 - 2x6 + 2x5 - 2x4 + 3x2 - 2x + 1 \( -\,3^{5}\cdot 5^{2}\cdot 13^{2}\cdot 41^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.0.1759679883.1 x10 - x9 + 2x8 - x7 + 2x5 + 2x4 + 5x2 - 2x + 1 \( -\,3^{9}\cdot 13^{2}\cdot 23^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.0.1861823232.1 x10 - x9 - 3x8 + 2x7 + 5x6 - 3x5 - 3x4 + 2x3 + x2 + x + 1 \( -\,2^{8}\cdot 3^{5}\cdot 173^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.0.1964083707.1 x10 - 2x9 + 4x8 - 3x7 + 4x6 + x5 + 4x4 - 3x3 + 4x2 - 2x + 1 \( -\,3^{5}\cdot 2843^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.0.1995587584.1 x10 + x8 + 2x6 - 2x4 + x2 + 1 \( -\,2^{14}\cdot 349^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.0.2000172123.1 x10 + x6 - x5 + x2 + x + 1 \( -\,3^{5}\cdot 19^{2}\cdot 151^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.0.2097446912.1 x10 - 2x9 + 3x8 - 2x7 + 2x5 + x4 - 4x3 + 6x2 - 4x + 1 \( -\,2^{15}\cdot 11^{2}\cdot 23^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.0.2159385723.1 x10 - 2x9 + 2x8 - 2x7 + x6 - 5x4 + 7x3 - x2 - 2x + 4 \( -\,3^{5}\cdot 11^{2}\cdot 271^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.0.2211856227.1 x10 - 2x7 - x5 + x4 + x2 + 1 \( -\,3^{5}\cdot 7^{2}\cdot 431^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.0.2316304384.1 x10 - 3x8 - 4x7 + 3x6 + 8x5 + 3x4 - 4x3 - 3x2 + 1 \( -\,2^{20}\cdot 47^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.0.2318686803.1 x10 + x8 - x6 - x5 + 2x4 - 2x3 + 4x2 - 2x + 1 \( -\,3^{5}\cdot 3089^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.0.2412698643.1 x10 - 3x7 + 5x5 - 3x3 + 1 \( -\,3^{5}\cdot 23^{2}\cdot 137^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.0.2431110267.1 x10 - x9 - 3x8 + 4x7 + 3x6 - 8x5 + 8x3 - x2 - 3x + 1 \( -\,3^{5}\cdot 3163^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.0.2440342323.1 x10 - 2x7 - 2x6 - x5 + 4x4 + 2x3 + 5x2 + x + 1 \( -\,3^{5}\cdot 3169^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.0.2463499008.1 x10 - 3x9 + 9x8 - 16x7 + 25x6 - 31x5 + 31x4 - 26x3 + 15x2 - 5x + 1 \( -\,2^{8}\cdot 3^{5}\cdot 199^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.0.2539906227.1 x10 - 2x7 + x5 + x4 - x2 + 1 \( -\,3^{5}\cdot 53^{2}\cdot 61^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.0.2571428187.1 x10 - 3x9 + 9x8 - 16x7 + 26x6 - 30x5 + 31x4 - 22x3 + 16x2 - 6x + 3 \( -\,3^{5}\cdot 3253^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.0.2651014144.4 x10 + 2x8 + 3x6 + 3x4 + 3x2 + 1 \( -\,2^{10}\cdot 1609^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.0.2784461824.1 x10 + x8 - x4 - x2 + 1 \( -\,2^{10}\cdot 17^{2}\cdot 97^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.0.2880582507.1 x10 - 6x7 + 2x6 + x5 + 9x4 - 6x3 + x2 - 2x + 1 \( -\,3^{5}\cdot 11^{2}\cdot 313^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.0.2924252523.1 x10 - 2x9 + x8 - 2x7 + 3x6 + 6x5 - 6x4 - 4x3 + 6x2 + 5x + 1 \( -\,3^{5}\cdot 3469^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.0.2947903227.1 x10 - x8 - 4x7 + x6 + x5 + 4x4 + 2x3 + 2x2 + 1 \( -\,3^{13}\cdot 43^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.0.3038300928.1 x10 - 3x9 + 5x8 - 6x7 + 5x6 - 3x5 + x4 + x2 - 3x + 3 \( -\,2^{8}\cdot 3^{5}\cdot 13^{2}\cdot 17^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.0.3122085127.1 x10 - 3x9 + 3x8 - 4x7 + 9x6 - 7x5 + 2x4 - 3x3 - x2 + 3x + 1 \( -\,7^{5}\cdot 431^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.2.3156328125.1 x10 - 2x9 + 2x8 + 3x7 - 8x6 + 13x5 - 8x4 + 3x3 + 2x2 - 2x + 1 \( 3^{2}\cdot 5^{7}\cdot 67^{2} \) $S_5\times C_2$ (as 10T22) Trivial
10.0.3233514496.1 x10 - x8 - x6 + 4x4 - 3x2 + 1 \( -\,2^{10}\cdot 1777^{2} \) $S_5\times C_2$ (as 10T22) Trivial
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