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Label Polynomial Discriminant Galois group Class group Regulator
9.1.852140625.1 $x^{9} - 2 x^{8} - 2 x^{6} + x^{5} + 10 x^{4} - 4 x^{3} - 4 x^{2} + 2 x + 1$ $3\cdot 5^{6}\cdot 7^{3}\cdot 53$ $S_3\wr S_3$ (as 9T31) trivial $8.79947740892$
9.3.905734375.1 $x^{9} - 2 x^{7} - 2 x^{6} - 2 x^{5} + x^{4} + 4 x^{3} + 3 x^{2} + 3 x + 1$ $-\,5^{6}\cdot 7^{3}\cdot 13^{2}$ $C_3 \wr S_3 $ (as 9T20) trivial $8.05682865131$
9.3.1352000000.1 $x^{9} - 3 x^{8} + 5 x^{7} - 8 x^{6} + x^{5} - 9 x^{3} + 4 x^{2} + 2 x - 1$ $-\,2^{9}\cdot 5^{6}\cdot 13^{2}$ $C_3 \wr S_3 $ (as 9T20) trivial $9.29588797346$
9.1.1952000000.1 $x^{9} - 3 x^{8} + 3 x^{7} + 3 x^{6} - 8 x^{5} + 4 x^{4} + 7 x^{3} - 7 x^{2} + 2$ $2^{11}\cdot 5^{6}\cdot 61$ $S_3\wr S_3$ (as 9T31) trivial $23.3904399693$
9.1.1988328125.1 $x^{9} - 2 x^{8} + 2 x^{7} - 4 x^{6} + 5 x^{5} - 9 x^{4} + 12 x^{3} - 9 x^{2} + 4 x - 1$ $5^{6}\cdot 7^{4}\cdot 53$ $S_3\wr S_3$ (as 9T31) trivial $9.87419838352$
9.3.2187000000.1 $x^{9} - 4 x^{8} + 7 x^{7} - 9 x^{6} + 7 x^{5} + 2 x^{4} - 12 x^{3} + 11 x^{2} - 5 x + 1$ $-\,2^{6}\cdot 3^{7}\cdot 5^{6}$ $(C_3^2:C_3):C_2$ (as 9T12) trivial $15.0187211531$
9.1.2674328125.1 $x^{9} - 3 x^{8} + 5 x^{7} - 3 x^{6} + x^{5} + x^{3} - x^{2} - 3 x - 1$ $5^{6}\cdot 7^{3}\cdot 499$ $S_3\wr S_3$ (as 9T31) trivial $14.6404288353$
9.1.3712000000.1 $x^{9} - x^{8} - x^{7} + 2 x^{6} - x^{5} - x^{3} + 2 x^{2} + 2 x + 1$ $2^{13}\cdot 5^{6}\cdot 29$ $S_3\wr S_3$ (as 9T31) trivial $36.1556074462$
9.1.4192000000.1 $x^{9} + x^{7} - 3 x^{6} - 3 x^{5} - 7 x^{4} - 9 x^{3} - 7 x^{2} - 4 x - 1$ $2^{11}\cdot 5^{6}\cdot 131$ $S_3\wr S_3$ (as 9T31) trivial $41.0339399868$
9.1.4192000000.2 $x^{9} - x^{8} - 3 x^{7} - x^{6} + 7 x^{5} + 3 x^{4} - 2 x^{3} - 6 x^{2} + 5 x - 1$ $2^{11}\cdot 5^{6}\cdot 131$ $S_3\wr S_3$ (as 9T31) trivial $21.6546557605$
9.3.4920750000.1 $x^{9} - 3 x^{8} + 3 x^{7} + x^{6} - 9 x^{5} + 12 x^{4} - 2 x^{3} - 3 x^{2} - 1$ $-\,2^{4}\cdot 3^{9}\cdot 5^{6}$ $(C_3^2:C_3):C_2$ (as 9T12) trivial $22.9533892646$
9.1.5739890625.1 $x^{9} - 2 x^{8} + 2 x^{7} - 3 x^{6} + 2 x^{5} - 2 x^{4} + 3 x^{3} - x + 1$ $3^{2}\cdot 5^{6}\cdot 7^{4}\cdot 17$ $S_3\wr S_3$ (as 9T31) trivial $16.7571556796$
9.1.5782765625.1 $x^{9} - x^{8} + x^{6} - 9 x^{5} + 5 x^{4} + 4 x^{3} + 2 x^{2} + 7 x + 3$ $5^{6}\cdot 7^{3}\cdot 13\cdot 83$ $S_3\wr S_3$ (as 9T31) trivial $23.2351477827$
9.1.6372000000.1 $x^{9} - x^{8} - 2 x^{6} - 2 x^{5} + 2 x^{4} + 2 x^{3} + 2 x^{2} + 3 x + 1$ $2^{8}\cdot 3^{3}\cdot 5^{6}\cdot 59$ $S_3\wr S_3$ (as 9T31) trivial $34.6524539445$
9.1.7203000000.1 $x^{9} - 2 x^{8} - x^{6} + 3 x^{5} - x^{4} + 3 x^{3} - 4 x^{2} + 3 x - 3$ $2^{6}\cdot 3\cdot 5^{6}\cdot 7^{4}$ $S_3\wr S_3$ (as 9T31) trivial $34.8596112409$
9.1.7352000000.1 $x^{9} - x^{8} + 2 x^{7} - x^{6} + 2 x^{5} - 2 x^{4} + 3 x^{3} - x^{2} - 1$ $2^{9}\cdot 5^{6}\cdot 919$ $S_3\wr S_3$ (as 9T31) trivial $36.4226725246$
9.1.7552000000.1 $x^{9} + 3 x^{7} - 2 x^{6} + 3 x^{5} - 4 x^{4} - x^{3} - 2 x^{2} + 8 x - 4$ $2^{13}\cdot 5^{6}\cdot 59$ $S_3\wr S_3$ (as 9T31) trivial $53.0803641577$
9.1.8288000000.1 $x^{9} + 4 x^{7} - x^{6} + 2 x^{5} + 4 x^{4} - 6 x^{3} + 6 x^{2} - 4 x + 2$ $2^{11}\cdot 5^{6}\cdot 7\cdot 37$ $S_3\wr S_3$ (as 9T31) trivial $67.2436222814$
9.1.8532000000.1 $x^{9} - 4 x^{8} + 8 x^{7} - 14 x^{6} + 22 x^{5} - 34 x^{4} + 42 x^{3} - 40 x^{2} + 24 x - 8$ $2^{8}\cdot 3^{3}\cdot 5^{6}\cdot 79$ $S_3\wr S_3$ (as 9T31) trivial $71.5383099528$
9.3.8934171875.1 $x^{9} - 3 x^{8} + 11 x^{6} - 22 x^{5} + 21 x^{4} - 12 x^{3} + 9 x^{2} - 7 x + 3$ $-\,5^{6}\cdot 83^{3}$ $(C_3^2:C_3):C_2$ (as 9T12) trivial $57.3673649134$
9.3.8934171875.2 $x^{9} - 3 x^{8} + 7 x^{6} - 4 x^{5} - 5 x^{4} + 11 x^{3} - 6 x^{2} - 8 x - 1$ $-\,5^{6}\cdot 83^{3}$ $(C_3^2:C_3):C_2$ (as 9T12) trivial $24.952814147$
9.3.8934171875.3 $x^{9} - 4 x^{7} - 3 x^{6} + 2 x^{5} + 8 x^{4} - 4 x^{3} - 2 x^{2} - 4 x - 1$ $-\,5^{6}\cdot 83^{3}$ $(C_3^2:C_3):C_2$ (as 9T12) trivial $33.8634528155$
9.1.9472000000.1 $x^{9} - 4 x^{8} + 5 x^{7} - x^{6} + x^{5} - x^{3} + 3 x^{2} + 2 x + 2$ $2^{14}\cdot 5^{6}\cdot 37$ $S_3\wr S_3$ (as 9T31) trivial $54.6847866106$
9.1.9705828125.1 $x^{9} - 3 x^{8} + 11 x^{6} - 12 x^{5} - 9 x^{4} + 18 x^{3} - x^{2} - 7 x + 3$ $5^{6}\cdot 7^{3}\cdot 1811$ $S_3\wr S_3$ (as 9T31) trivial $34.5378637329$
9.1.9813015625.1 $x^{9} - 2 x^{8} + 2 x^{7} - 9 x^{6} + 15 x^{5} - 4 x^{4} - 3 x^{3} - 4 x^{2} + 4 x - 1$ $5^{6}\cdot 7^{3}\cdot 1831$ $S_3\wr S_3$ (as 9T31) trivial $33.9708880198$
9.1.10499015625.1 $x^{9} - 2 x^{8} + x^{7} + 6 x^{6} - 11 x^{5} + 5 x^{4} + 11 x^{3} - 19 x^{2} + 12 x - 3$ $3\cdot 5^{6}\cdot 7^{3}\cdot 653$ $S_3\wr S_3$ (as 9T31) trivial $37.4389780782$
9.1.10563328125.1 $x^{9} + x^{7} - 3 x^{6} + 2 x^{5} + 3 x^{4} + x^{3} - 7 x^{2} - 4 x - 1$ $3^{3}\cdot 5^{6}\cdot 7^{3}\cdot 73$ $S_3\wr S_3$ (as 9T31) trivial $32.2723379965$
9.1.10712000000.1 $x^{9} + 3 x^{7} - 3 x^{6} + 13 x^{5} - 11 x^{4} + 9 x^{3} + 7 x^{2} - 2 x - 1$ $2^{9}\cdot 5^{6}\cdot 13\cdot 103$ $S_3\wr S_3$ (as 9T31) trivial $84.0887998988$
9.1.11008000000.1 $x^{9} - 3 x^{8} + 6 x^{7} - 6 x^{6} + 4 x^{5} - 4 x^{3} + 4 x^{2} - 8 x + 8$ $2^{14}\cdot 5^{6}\cdot 43$ $S_3\wr S_3$ (as 9T31) trivial $106.824161657$
9.1.11232000000.1 $x^{9} - x^{8} - x^{7} - 3 x^{6} + 9 x^{5} - 5 x^{4} - x^{3} - 3 x^{2} - 8 x - 4$ $2^{11}\cdot 3^{3}\cdot 5^{6}\cdot 13$ $S_3\wr S_3$ (as 9T31) trivial $63.4595504886$
9.1.12728000000.1 $x^{9} - 4 x^{8} + 4 x^{7} + 3 x^{6} - x^{5} - 15 x^{4} + 19 x^{3} - 12 x^{2} + 7 x - 1$ $2^{9}\cdot 5^{6}\cdot 37\cdot 43$ $S_3\wr S_3$ (as 9T31) trivial $25.3230207244$
9.3.12867859375.1 $x^{9} - 4 x^{8} + 3 x^{7} + 6 x^{6} - 18 x^{5} + 26 x^{4} - 8 x^{3} - 15 x^{2} + 14 x - 13$ $-\,5^{6}\cdot 7^{7}$ $S_3\times C_3$ (as 9T4) trivial $41.9960420222$
9.1.12933000000.1 $x^{9} - 2 x^{8} + 5 x^{7} - 7 x^{6} + 11 x^{5} - 10 x^{4} + 6 x^{3} + x^{2} - 3 x + 1$ $2^{6}\cdot 3^{3}\cdot 5^{6}\cdot 479$ $S_3\wr S_3$ (as 9T31) trivial $29.45747692$
9.1.14636453125.1 $x^{9} - x^{8} + 4 x^{7} - 2 x^{6} + 5 x^{5} - 3 x^{4} + 7 x^{3} - 10 x^{2} + 8 x - 8$ $5^{6}\cdot 7^{3}\cdot 2731$ $S_3\wr S_3$ (as 9T31) trivial $25.2015830748$
9.1.15712000000.1 $x^{9} - x^{8} + 5 x^{7} - 7 x^{6} + 8 x^{5} - 8 x^{4} + 7 x^{3} + 7 x^{2} + 3 x + 1$ $2^{11}\cdot 5^{6}\cdot 491$ $S_3\wr S_3$ (as 9T31) trivial $82.4826945795$
9.1.15832000000.1 $x^{9} - 3 x^{8} + 2 x^{7} - x^{6} + 5 x^{5} - 6 x^{4} + 7 x^{3} - 11 x^{2} + 9 x - 4$ $2^{9}\cdot 5^{6}\cdot 1979$ $S_3\wr S_3$ (as 9T31) trivial $65.411528824$
9.1.15968000000.1 $x^{9} - 2 x^{8} + 2 x^{7} + 2 x^{6} - 3 x^{5} - 2 x^{4} + 8 x^{3} - 10 x^{2} + 4 x - 4$ $2^{11}\cdot 5^{6}\cdot 499$ $S_3\wr S_3$ (as 9T31) trivial $104.770563822$
9.1.16501515625.1 $x^{9} - 2 x^{8} + x^{7} + 4 x^{6} - 6 x^{4} + 8 x^{3} + 5 x^{2} - 2 x - 1$ $5^{6}\cdot 7^{3}\cdot 3079$ $S_3\wr S_3$ (as 9T31) trivial $25.7000945698$
9.3.19072000000.1 $x^{9} - x^{8} + 6 x^{6} - 9 x^{5} + 15 x^{4} - 6 x^{3} + 2 x^{2} + 2 x - 2$ $-\,2^{13}\cdot 5^{6}\cdot 149$ $S_3\wr S_3$ (as 9T31) trivial $188.78475765$
9.1.19552000000.1 $x^{9} - 3 x^{8} + 7 x^{7} - 7 x^{6} + 12 x^{5} - 8 x^{4} + 13 x^{3} - 5 x^{2} - x - 1$ $2^{11}\cdot 5^{6}\cdot 13\cdot 47$ $S_3\wr S_3$ (as 9T31) trivial $106.324826912$
9.3.19683000000.1 $x^{9} - 3 x^{8} + 3 x^{7} + 6 x^{6} - 24 x^{5} - 3 x^{4} + 23 x^{3} - 3 x^{2} - 1$ $-\,2^{6}\cdot 3^{9}\cdot 5^{6}$ $(C_3^2:C_3):C_2$ (as 9T12) trivial $49.9963053917$
9.1.19808000000.1 $x^{9} - x^{8} + 3 x^{7} - x^{6} + 2 x^{5} + 4 x^{4} + 2 x^{3} + 10 x^{2} + 4 x + 8$ $2^{11}\cdot 5^{6}\cdot 619$ $S_3\wr S_3$ (as 9T31) trivial $165.565381079$
9.1.19824328125.1 $x^{9} - x^{8} - x^{7} + 2 x^{6} - x^{5} - x^{3} + 2 x^{2} + 7 x + 1$ $3^{3}\cdot 5^{6}\cdot 7^{3}\cdot 137$ $S_3\wr S_3$ (as 9T31) trivial $40.588838849$
9.1.20145890625.1 $x^{9} - 2 x^{7} - 2 x^{6} - 2 x^{5} + 11 x^{4} + 9 x^{3} + 8 x^{2} + 3 x + 1$ $3\cdot 5^{6}\cdot 7^{4}\cdot 179$ $S_3\wr S_3$ (as 9T31) trivial $56.7692156659$
9.1.20192000000.1 $x^{9} - 3 x^{8} + 3 x^{7} - 2 x^{6} + 7 x^{5} - 6 x^{4} - 13 x^{3} + 28 x^{2} - 20 x + 7$ $2^{11}\cdot 5^{6}\cdot 631$ $S_3\wr S_3$ (as 9T31) trivial $61.1674203761$
9.1.20789015625.1 $x^{9} + 2 x^{7} - x^{6} + 3 x^{5} + 7 x^{4} + 11 x^{3} + 9 x^{2} - 2 x - 3$ $3^{2}\cdot 5^{6}\cdot 7^{3}\cdot 431$ $S_3\wr S_3$ (as 9T31) trivial $77.0067457162$
9.3.21271359375.1 $x^{9} - 3 x^{8} + 2 x^{7} + 3 x^{6} - 8 x^{5} + 12 x^{4} + 3 x^{3} - 10 x^{2} + 4 x - 1$ $-\,3^{4}\cdot 5^{6}\cdot 7^{5}$ $C_3 \wr S_3 $ (as 9T20) trivial $55.2288504054$
9.3.21271359375.2 $x^{9} - 4 x^{8} + 2 x^{7} + 16 x^{6} - 28 x^{5} + 12 x^{4} - 2 x^{3} + 6 x^{2} - 5 x + 1$ $-\,3^{4}\cdot 5^{6}\cdot 7^{5}$ $C_3 \wr S_3 $ (as 9T20) trivial $66.7105465828$
9.3.21378546875.1 $x^{9} - 3 x^{8} + 2 x^{7} - 2 x^{6} - 3 x^{5} + 7 x^{4} - 12 x^{3} + 5 x^{2} - x - 1$ $-\,5^{6}\cdot 7^{3}\cdot 3989$ $S_3\wr S_3$ (as 9T31) trivial $48.1516565946$
9.1.23128000000.1 $x^{9} - 3 x^{8} + 6 x^{7} - 11 x^{6} + 14 x^{5} - 15 x^{4} + 6 x^{3} - x^{2} - 3 x - 2$ $2^{9}\cdot 5^{6}\cdot 7^{2}\cdot 59$ $S_3\wr S_3$ (as 9T31) trivial $68.6173140861$
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