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Label Polynomial Discriminant Galois group Class group Regulator
9.1.24794911296.1 $x^{9} - 3 x^{6} + 3 x^{3} + 1$ $2^{6}\cdot 3^{18}$ $C_3^2:C_2$ (as 9T5) trivial $100.562512254$
9.1.59049000000.1 $x^{9} - 7 x^{6} + 23 x^{3} + 1$ $2^{6}\cdot 3^{10}\cdot 5^{6}$ $C_3^2:C_2$ (as 9T5) $[3]$ $71.3211637516$
9.1.315637217856.1 $x^{9} - 6 x^{7} - 9 x^{6} + 24 x^{5} + 18 x^{4} + 27 x^{3} + 6 x^{2} + 6 x + 1$ $2^{6}\cdot 3^{10}\cdot 17^{4}$ $C_3^2:C_2$ (as 9T5) $[3]$ $171.537324484$
9.1.444611571264.1 $x^{9} - 5 x^{6} + 27 x^{3} + 27$ $2^{6}\cdot 3^{10}\cdot 7^{6}$ $C_3^2:C_2$ (as 9T5) $[3]$ $218.633923454$
9.1.497972971584.1 $x^{9} + 3 x^{7} - 6 x^{6} + 9 x^{5} + 6 x^{4} - 7 x^{3} - 54 x^{2} - 42 x - 26$ $2^{6}\cdot 3^{12}\cdot 11^{4}$ $C_3^2:C_2$ (as 9T5) $[3]$ $140.893317362$
9.1.568503936064.1 $x^{9} - 3 x^{8} + x^{7} - 7 x^{6} + 20 x^{5} + 18 x^{4} - 40 x^{3} - 56 x^{2} + 96 x - 36$ $2^{6}\cdot 307^{4}$ $C_3^2:C_2$ (as 9T5) $[3]$ $232.017705934$
9.1.741536265625.1 $x^{9} - 4 x^{8} + 9 x^{7} - 9 x^{6} - 4 x^{5} + x^{4} + 54 x^{3} - 160 x^{2} + 200 x - 80$ $5^{6}\cdot 83^{4}$ $C_3^2:C_2$ (as 9T5) $[3]$ $274.926349169$
9.1.845237519424.1 $x^{9} - 2 x^{8} + 6 x^{7} + 3 x^{6} - 6 x^{5} + 18 x^{4} - 13 x^{3} - 4 x^{2} + 12 x - 33$ $2^{6}\cdot 3^{4}\cdot 113^{4}$ $C_3^2:C_2$ (as 9T5) $[3]$ $653.480293927$
9.1.981256661056.1 $x^{9} - x^{8} - 7 x^{7} + 11 x^{6} + 22 x^{5} - 52 x^{4} - 48 x^{3} + 156 x^{2} + 228 x + 76$ $2^{6}\cdot 7^{6}\cdot 19^{4}$ $C_3^2:C_2$ (as 9T5) $[3]$ $276.774402523$
9.1.1425595404289.1 $x^{9} - 4 x^{8} + 16 x^{7} - 32 x^{6} + 33 x^{5} - 10 x^{4} - 120 x^{3} + 306 x^{2} - 295 x + 118$ $7^{6}\cdot 59^{4}$ $C_3^2:C_2$ (as 9T5) $[3]$ $347.337421224$
9.1.3418801000000.2 $x^{9} - 2 x^{8} + 4 x^{7} - 11 x^{6} - 58 x^{4} + 139 x^{3} - 4 x^{2} - 56 x - 27$ $2^{6}\cdot 5^{6}\cdot 43^{4}$ $C_3^2:C_2$ (as 9T5) $[3]$ $632.728311363$
9.1.4432507043904.1 $x^{9} - 9 x^{7} - 4 x^{6} + 27 x^{5} + 24 x^{4} - 79 x^{3} - 36 x^{2} + 156 x - 116$ $2^{6}\cdot 3^{12}\cdot 19^{4}$ $C_3^2:C_2$ (as 9T5) $[3]$ $482.999319695$
9.1.5729665643584.2 $x^{9} - x^{8} + 8 x^{7} - 17 x^{6} + 46 x^{5} - 81 x^{4} + 163 x^{3} - 202 x^{2} + 160 x - 50$ $2^{6}\cdot 547^{4}$ $C_3^2:C_2$ (as 9T5) $[3]$ $890.169370682$
9.1.6053445140625.1 $x^{9} - 6 x^{6} - 3 x^{3} - 8$ $3^{18}\cdot 5^{6}$ $C_3^2:C_2$ (as 9T5) $[2]$ $1802.2055239$
9.1.6694969951296.1 $x^{9} - 3 x^{8} + 6 x^{7} + 3 x^{6} - 36 x^{5} + 27 x^{4} + 51 x^{3} - 60 x^{2} + 48 x - 64$ $2^{6}\cdot 3^{10}\cdot 11^{6}$ $C_3^2:C_2$ (as 9T5) $[6]$ $485.52317542$
9.1.9529569000000.1 $x^{9} - 3 x^{8} + 4 x^{7} + 5 x^{6} - 38 x^{5} + 83 x^{4} - 111 x^{3} + 104 x^{2} - 24 x + 6$ $2^{6}\cdot 3^{4}\cdot 5^{6}\cdot 7^{6}$ $C_3^2:C_2$ (as 9T5) $[3]$ $2927.84920193$
9.1.10678935122496.3 $x^{9} - 3 x^{8} + 5 x^{6} + 6 x^{5} - 63 x^{4} + 145 x^{3} - 150 x^{2} + 96 x + 12$ $2^{6}\cdot 3^{10}\cdot 41^{4}$ $C_3^2:C_2$ (as 9T5) $[6]$ $662.158012985$
9.1.11065116586329.3 $x^{9} + 9 x^{7} - 12 x^{6} + 54 x^{5} - 36 x^{4} + 48 x^{3} + 81 x^{2} - 72 x + 111$ $3^{18}\cdot 13^{4}$ $C_3^2:C_2$ (as 9T5) trivial $1517.45079201$
9.1.18241167657024.4 $x^{9} - 3 x^{8} + 6 x^{7} - 21 x^{6} + 60 x^{5} - 45 x^{4} + 51 x^{3} - 36 x^{2} + 48 x + 64$ $2^{6}\cdot 3^{10}\cdot 13^{6}$ $C_3^2:C_2$ (as 9T5) $[3]$ $1446.87262832$
9.1.19937341265625.3 $x^{9} + 15 x^{7} - 2 x^{6} + 90 x^{5} - 30 x^{4} + 138 x^{3} - 45 x^{2} + 1$ $3^{12}\cdot 5^{6}\cdot 7^{4}$ $C_3^2:C_2$ (as 9T5) $[3]$ $1133.24272445$
9.1.20151121000000.1 $x^{9} - 3 x^{8} - 2 x^{7} + 5 x^{6} + 8 x^{5} - 39 x^{4} + 47 x^{3} + 58 x^{2} - 60 x - 252$ $2^{6}\cdot 5^{6}\cdot 67^{4}$ $C_3^2:C_2$ (as 9T5) $[6]$ $869.035185331$
9.1.20795424040000.2 $x^{9} - 3 x^{8} - 2 x^{7} + 23 x^{6} + 24 x^{5} - 35 x^{4} + 9 x^{3} - 82 x^{2} - 52 x - 8$ $2^{6}\cdot 5^{4}\cdot 151^{4}$ $C_3^2:C_2$ (as 9T5) $[3]$ $1543.41957674$
9.1.22617481454656.1 $x^{9} - 3 x^{8} - 3 x^{7} - 9 x^{6} + 114 x^{5} + 150 x^{4} - 68 x^{3} - 372 x^{2} - 176 x - 52$ $2^{6}\cdot 11^{4}\cdot 17^{6}$ $C_3^2:C_2$ (as 9T5) $[3]$ $1144.88400443$
9.1.28455140560896.4 $x^{9} - 3 x^{8} + 3 x^{7} + 11 x^{6} - 3 x^{5} - 51 x^{4} + 181 x^{3} - 195 x^{2} + 42 x + 78$ $2^{12}\cdot 3^{10}\cdot 7^{6}$ $C_3^2:C_2$ (as 9T5) $[3]$ $14991.1811907$
9.1.34012224000000.6 $x^{9} + 12 x^{7} - 12 x^{6} + 63 x^{5} - 96 x^{4} + 92 x^{3} - 432 x^{2} + 12 x - 64$ $2^{12}\cdot 3^{12}\cdot 5^{6}$ $C_3^2:C_2$ (as 9T5) $[3]$ $11048.3755258$
9.1.43046721000000.2 $x^{9} - 18 x^{6} + 228 x^{3} - 216$ $2^{6}\cdot 3^{16}\cdot 5^{6}$ $C_3^2:C_2$ (as 9T5) $[6]$ $1044.13173927$
9.1.43046721000000.3 $x^{9} - 9 x^{6} - 33 x^{3} - 27$ $2^{6}\cdot 3^{16}\cdot 5^{6}$ $C_3^2:C_2$ (as 9T5) $[3]$ $2448.74945521$
9.1.43046721000000.4 $x^{9} - 9 x^{6} + 57 x^{3} - 27$ $2^{6}\cdot 3^{16}\cdot 5^{6}$ $C_3^2:C_2$ (as 9T5) $[3]$ $2244.65863968$
9.1.45579633110361.5 $x^{9} - 6 x^{6} + 33 x^{3} - 8$ $3^{18}\cdot 7^{6}$ $C_3^2:C_2$ (as 9T5) $[6]$ $1831.2139075$
9.1.51039593640000.10 $x^{9} - 9 x^{7} - 16 x^{6} + 45 x^{5} + 162 x^{4} + 113 x^{3} - 36 x^{2} + 210 x + 350$ $2^{6}\cdot 3^{12}\cdot 5^{4}\cdot 7^{4}$ $C_3^2:C_2$ (as 9T5) $[9]$ $1392.59805544$
9.1.65380565930625.1 $x^{9} - 3 x^{8} + 3 x^{7} + 5 x^{6} + 21 x^{5} + 39 x^{4} - 175 x^{3} - 276 x^{2} - 660 x - 1400$ $3^{10}\cdot 5^{4}\cdot 11^{6}$ $C_3^2:C_2$ (as 9T5) $[3]$ $3633.73140168$
9.1.67459939560000.2 $x^{9} - 13 x^{6} - 6 x^{5} + 156 x^{4} - 13 x^{3} - 234 x^{2} - 108 x + 247$ $2^{6}\cdot 3^{10}\cdot 5^{4}\cdot 13^{4}$ $C_3^2:C_2$ (as 9T5) $[3]$ $6712.54857332$
9.1.69661074235041.6 $x^{9} - 6 x^{7} - 6 x^{6} + 36 x^{5} + 150 x^{4} + 137 x^{3} - 216 x^{2} - 564 x - 512$ $3^{12}\cdot 107^{4}$ $C_3^2:C_2$ (as 9T5) $[6]$ $1789.19669462$
9.1.91219155960384.3 $x^{9} - 3 x^{8} + 6 x^{7} + 9 x^{6} - 60 x^{5} + 45 x^{4} + 111 x^{3} - 126 x^{2} + 108 x - 216$ $2^{6}\cdot 3^{10}\cdot 17^{6}$ $C_3^2:C_2$ (as 9T5) $[3]$ $3420.49290366$
9.1.107320814899776.1 $x^{9} - 6 x^{7} - 15 x^{6} - 6 x^{5} - 6 x^{4} + 45 x^{3} + 48 x^{2} - 54 x - 299$ $2^{6}\cdot 3^{10}\cdot 73^{4}$ $C_3^2:C_2$ (as 9T5) $[3]$ $3149.14310782$
9.1.108547746890625.3 $x^{9} - 3 x^{8} + 6 x^{7} - 43 x^{6} + 78 x^{5} - 111 x^{4} + 85 x^{3} - 48 x^{2} + 12 x - 48$ $3^{10}\cdot 5^{6}\cdot 7^{6}$ $C_3^2:C_2$ (as 9T5) $[3]$ $7337.01369214$
9.1.116281025423424.4 $x^{9} - 9 x^{7} - 40 x^{6} + 27 x^{5} + 240 x^{4} + 281 x^{3} - 360 x^{2} - 924 x - 980$ $2^{6}\cdot 3^{12}\cdot 43^{4}$ $C_3^2:C_2$ (as 9T5) $[3]$ $3440.56574583$
9.1.118448417326801.7 $x^{9} - 3 x^{8} - 7 x^{7} + 41 x^{6} - 85 x^{5} + 123 x^{4} - 114 x^{3} + 16 x^{2} + 40 x + 112$ $3299^{4}$ $C_3^2:C_2$ (as 9T5) $[3]$ $3848.12363946$
9.1.127052393149504.3 $x^{9} - 3 x^{8} + 2 x^{7} - 15 x^{6} + 32 x^{5} + 29 x^{4} - 73 x^{3} - 110 x^{2} + 260 x - 124$ $2^{6}\cdot 1187^{4}$ $C_3^2:C_2$ (as 9T5) $[6]$ $1181.09637284$
9.1.131079601000000.3 $x^{9} - 3 x^{8} + 27 x^{7} - 73 x^{6} + 224 x^{5} - 410 x^{4} + 508 x^{3} - 248 x^{2} - 24 x + 68$ $2^{6}\cdot 5^{6}\cdot 107^{4}$ $C_3^2:C_2$ (as 9T5) $[3, 3]$ $646.456239381$
9.1.143496441000000.1 $x^{9} - 3 x^{8} + 4 x^{7} - 13 x^{6} + 58 x^{5} - 127 x^{4} + 93 x^{3} - 10 x^{2} + 60 x - 90$ $2^{6}\cdot 3^{4}\cdot 5^{6}\cdot 11^{6}$ $C_3^2:C_2$ (as 9T5) $[3]$ $11975.8024551$
9.1.160798833699904.3 $x^{9} - 3 x^{8} - 2 x^{7} - 5 x^{6} + 42 x^{5} - 7 x^{4} - 15 x^{3} - 4 x^{2} - 152 x + 236$ $2^{6}\cdot 1259^{4}$ $C_3^2:C_2$ (as 9T5) $[6]$ $2798.29535586$
9.1.162388203244569.3 $x^{9} - 15 x^{7} - 18 x^{6} + 84 x^{5} + 192 x^{4} - 276 x^{3} - 771 x^{2} + 1062 x - 347$ $3^{10}\cdot 229^{4}$ $C_3^2:C_2$ (as 9T5) $[3]$ $3058.74465684$
9.1.164924977505344.1 $x^{9} - 3 x^{8} + 4 x^{7} - 37 x^{6} + 68 x^{5} + 39 x^{4} - 73 x^{3} - 314 x^{2} + 756 x - 504$ $2^{6}\cdot 7^{4}\cdot 181^{4}$ $C_3^2:C_2$ (as 9T5) $[3]$ $7833.08403225$
9.1.177792782538816.5 $x^{9} - 3 x^{8} + 6 x^{7} - 27 x^{6} + 84 x^{5} - 63 x^{4} + 111 x^{3} - 90 x^{2} + 108 x + 216$ $2^{6}\cdot 3^{10}\cdot 19^{6}$ $C_3^2:C_2$ (as 9T5) $[18]$ $824.370601768$
9.1.191374022440000.1 $x^{9} - 3 x^{8} + 19 x^{7} - 41 x^{6} + 56 x^{5} + 30 x^{4} - 112 x^{3} + 128 x^{2} + 120 x - 180$ $2^{6}\cdot 5^{4}\cdot 263^{4}$ $C_3^2:C_2$ (as 9T5) $[6]$ $4956.09327283$
9.1.228886641000000.1 $x^{9} - 3 x^{8} - 13 x^{7} + 27 x^{6} + 144 x^{5} - 360 x^{4} - 172 x^{3} + 552 x^{2} + 1156 x - 2052$ $2^{6}\cdot 3^{4}\cdot 5^{6}\cdot 41^{4}$ $C_3^2:C_2$ (as 9T5) $[3]$ $17791.8428434$
9.1.230396455161856.5 $x^{9} - 4 x^{8} + 6 x^{7} + 16 x^{6} + 53 x^{5} + 92 x^{4} + 248 x^{3} + 136 x^{2} - 68 x + 64$ $2^{12}\cdot 487^{4}$ $C_3^2:C_2$ (as 9T5) $[9]$ $9247.39306394$
9.1.237111461683776.5 $x^{9} + 12 x^{7} - 7 x^{6} + 36 x^{5} + 6 x^{4} + 95 x^{3} - 114 x^{2} - 96 x + 133$ $2^{6}\cdot 3^{10}\cdot 89^{4}$ $C_3^2:C_2$ (as 9T5) $[3]$ $7216.91344017$
9.1.238130328086784.8 $x^{9} - 12 x^{6} + 81 x^{5} - 144 x^{4} + 30 x^{3} + 324 x^{2} - 504 x + 336$ $2^{8}\cdot 3^{18}\cdot 7^{4}$ $C_3^2:C_2$ (as 9T5) trivial $157356.930631$
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