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Label Polynomial Discriminant Galois group Class group Regulator
9.3.203297472.1 $x^{9} - 3 x^{7} - x^{6} + 3 x^{5} + 2 x^{4} + 4 x^{3} - x^{2} - 5 x + 1$ $-\,2^{6}\cdot 3^{3}\cdot 7^{6}$ $S_3\times C_3$ (as 9T4) trivial $2.91762479639$
9.3.272097792.1 $x^{9} - 3 x^{8} + 7 x^{6} - 3 x^{5} - 9 x^{4} + 3 x^{3} + 6 x^{2} - 1$ $-\,2^{9}\cdot 3^{12}$ $S_3\times C_3$ (as 9T4) trivial $3.59873869763$
9.3.308915776.1 $x^{9} - x^{8} - 2 x^{7} - x^{6} + 5 x^{5} + x^{4} - 5 x^{3} + 2 x^{2} + 2 x - 1$ $-\,2^{6}\cdot 13^{6}$ $S_3\times C_3$ (as 9T4) trivial $3.88663450763$
9.3.707347971.1 $x^{9} - 2 x^{6} + 6 x^{4} - 5 x^{3} - 12 x^{2} - 6 x - 1$ $-\,3^{12}\cdot 11^{3}$ $S_3\times C_3$ (as 9T4) trivial $6.24158213066$
9.3.806954491.1 $x^{9} - 4 x^{8} + 11 x^{7} - 23 x^{6} + 38 x^{5} - 50 x^{4} + 46 x^{3} - 28 x^{2} + 9 x - 1$ $-\,7^{6}\cdot 19^{3}$ $S_3\times C_3$ (as 9T4) trivial $6.81560012727$
9.3.918330048.1 $x^{9} - 3 x^{8} + 3 x^{7} - 6 x^{6} + 12 x^{5} - 3 x^{4} - 15 x^{3} + 15 x^{2} - 6 x + 1$ $-\,2^{6}\cdot 3^{15}$ $S_3\times C_3$ (as 9T4) trivial $9.26228945648$
9.3.941192000.1 $x^{9} - x^{7} - 3 x^{6} + 5 x^{5} + 2 x^{4} - 10 x^{3} - 5 x^{2} - x - 1$ $-\,2^{6}\cdot 5^{3}\cdot 7^{6}$ $S_3\times C_3$ (as 9T4) trivial $7.83970036904$
9.3.1162261467.1 $x^{9} - 3 x^{6} - 6 x^{3} - 1$ $-\,3^{19}$ $S_3\times C_3$ (as 9T4) trivial $10.6074723622$
9.3.1270238787.1 $x^{9} - x^{8} - 3 x^{7} + 2 x^{6} - x^{5} - x^{4} + 6 x^{3} - 4 x^{2} + 3 x - 1$ $-\,3^{3}\cdot 19^{6}$ $S_3\times C_3$ (as 9T4) trivial $9.26201162833$
9.3.1431435383.1 $x^{9} - x^{8} - 2 x^{7} + 5 x^{6} + 9 x^{5} - 5 x^{4} - 11 x^{3} + 6 x^{2} - 1$ $-\,7^{6}\cdot 23^{3}$ $S_3\times C_3$ (as 9T4) trivial $10.5961897679$
9.3.1626379776.1 $x^{9} - 4 x^{8} + 4 x^{7} - x^{6} + 5 x^{5} - 11 x^{4} + 11 x^{3} - 6 x^{2} + x + 1$ $-\,2^{9}\cdot 3^{3}\cdot 7^{6}$ $S_3\times C_3$ (as 9T4) trivial $10.6992690698$
9.3.1793613375.1 $x^{9} - 6 x^{7} - 3 x^{6} + 9 x^{5} + 3 x^{4} - 9 x^{3} + 3 x - 1$ $-\,3^{15}\cdot 5^{3}$ $S_3\times C_3$ (as 9T4) trivial $14.6592603365$
9.3.2315685267.2 $x^{9} - 4 x^{6} + 3 x^{3} + 1$ $-\,3^{9}\cdot 7^{6}$ $S_3\times C_3$ (as 9T4) trivial $14.3623120265$
9.3.2754990144.1 $x^{9} - 3 x^{8} + 3 x^{7} - 6 x^{5} + 15 x^{4} - 21 x^{3} + 15 x^{2} - 6 x + 1$ $-\,2^{6}\cdot 3^{16}$ $S_3\times C_3$ (as 9T4) trivial $18.1727824896$
9.3.3504881359.1 $x^{9} + 5 x^{7} - 4 x^{6} + 6 x^{5} - 4 x^{4} - 10 x^{3} - x^{2} - 2 x + 1$ $-\,7^{6}\cdot 31^{3}$ $S_3\times C_3$ (as 9T4) trivial $17.5885270435$
9.3.4251528000.1 $x^{9} - 3 x^{8} + 3 x^{6} + 9 x^{5} - 21 x^{4} + 17 x^{3} - 6 x^{2} + 1$ $-\,2^{6}\cdot 3^{12}\cdot 5^{3}$ $S_3\times C_3$ (as 9T4) trivial $18.2003059432$
9.3.6466042647.5 $x^{9} - 3 x^{7} - 2 x^{6} + 18 x^{5} - 6 x^{4} - 24 x^{3} + 9 x^{2} - 1$ $-\,3^{12}\cdot 23^{3}$ $S_3\times C_3$ (as 9T4) trivial $24.6687282559$
9.3.6588344000.1 $x^{9} - 4 x^{8} + 7 x^{7} + x^{6} - 23 x^{5} + 32 x^{4} - 22 x^{3} + 11 x^{2} - 5 x + 1$ $-\,2^{6}\cdot 5^{3}\cdot 7^{7}$ $S_3\times C_3$ (as 9T4) trivial $23.2373788193$
9.3.7346640384.1 $x^{9} + 3 x^{7} - 3 x^{6} + 12 x^{4} - 36 x^{3} + 36 x^{2} - 24 x + 8$ $-\,2^{9}\cdot 3^{15}$ $S_3\times C_3$ (as 9T4) trivial $33.1180165264$
9.3.7529536000.1 $x^{9} - 3 x^{7} - 7 x^{6} + 3 x^{5} + 14 x^{4} + 20 x^{3} - 7 x^{2} - 21 x - 7$ $-\,2^{9}\cdot 5^{3}\cdot 7^{6}$ $S_3\times C_3$ (as 9T4) trivial $29.4610021952$
9.3.8340725952.1 $x^{9} - x^{7} - 3 x^{6} + 9 x^{5} + 2 x^{4} - 24 x^{3} - 9 x^{2} - x - 1$ $-\,2^{6}\cdot 3^{3}\cdot 13^{6}$ $S_3\times C_3$ (as 9T4) trivial $35.0215090863$
9.3.10021812416.1 $x^{9} - x^{8} + 3 x^{7} + 4 x^{6} + 14 x^{5} - 3 x^{4} - 9 x^{3} + 7 x^{2} - 2 x - 1$ $-\,2^{6}\cdot 7^{6}\cdot 11^{3}$ $S_3\times C_3$ (as 9T4) trivial $30.3003873223$
9.3.12214672127.1 $x^{9} - 4 x^{8} + 5 x^{7} - 8 x^{6} + 10 x^{5} - 8 x^{4} - 11 x^{3} + 14 x^{2} + 8 x - 8$ $-\,7^{6}\cdot 47^{3}$ $S_3\times C_3$ (as 9T4) trivial $35.8605771834$
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 $41.9960420222$
9.3.14765025303.1 $x^{9} + 9 x^{7} - 6 x^{6} + 18 x^{5} - 18 x^{4} + 12 x^{3} - 9 x^{2} + 1$ $-\,3^{16}\cdot 7^{3}$ $S_3\times C_3$ (as 9T4) trivial $51.4796362398$
9.3.15832158831.4 $x^{9} + 6 x^{7} - 3 x^{6} + 9 x^{5} - 3 x^{4} - 23 x^{3} - 3 x - 1$ $-\,3^{12}\cdot 31^{3}$ $S_3\times C_3$ (as 9T4) trivial $55.0731569061$
9.3.16542390592.2 $x^{9} - 7 x^{7} - x^{6} + 28 x^{5} + 28 x^{4} - 16 x^{3} - 28 x^{2} + 8$ $-\,2^{6}\cdot 7^{6}\cdot 13^{3}$ $S_3\times C_3$ (as 9T4) trivial $41.8089622113$
9.9.17515230173.1 $x^{9} - 4 x^{8} - 3 x^{7} + 29 x^{6} - 26 x^{5} - 24 x^{4} + 34 x^{3} - 2 x^{2} - 5 x + 1$ $7^{6}\cdot 53^{3}$ $S_3\times C_3$ (as 9T4) trivial $92.2723177847$
9.3.19573852375.2 $x^{9} + 7 x^{7} - 4 x^{6} + 14 x^{5} - 14 x^{4} + 10 x^{3} - 7 x^{2} + 1$ $-\,5^{3}\cdot 7^{6}\cdot 11^{3}$ $S_3\times C_3$ (as 9T4) trivial $53.25487687$
9.3.22785532875.2 $x^{9} + 3 x^{7} + 9 x^{5} - 9 x^{4} + 8 x^{3} - 18 x + 9$ $-\,3^{12}\cdot 5^{3}\cdot 7^{3}$ $S_3\times C_3$ (as 9T4) trivial $100.309452929$
9.3.24087491072.1 $x^{9} - 7 x^{7} - x^{6} + 29 x^{5} + 30 x^{4} - 18 x^{3} - 35 x^{2} - 5 x + 7$ $-\,2^{9}\cdot 19^{6}$ $S_3\times C_3$ (as 9T4) trivial $56.715041346$
9.3.24162633971.1 $x^{9} - 4 x^{8} + 11 x^{7} - 15 x^{6} + 12 x^{5} + 10 x^{4} - 24 x^{3} + 22 x^{2} - 13 x + 1$ $-\,7^{6}\cdot 59^{3}$ $S_3\times C_3$ (as 9T4) trivial $43.1186199325$
9.3.24162633971.2 $x^{9} + 10 x^{7} - 4 x^{6} + 24 x^{5} - 8 x^{4} - 3 x^{3} - 4 x^{2} - 4 x + 1$ $-\,7^{6}\cdot 59^{3}$ $S_3\times C_3$ (as 9T4) trivial $40.7974697875$
9.3.24162633971.3 $x^{9} + 7 x^{7} - 8 x^{6} + 21 x^{5} - 7 x^{4} - 9 x^{3} + 28 x^{2} - 28 x + 8$ $-\,7^{6}\cdot 59^{3}$ $S_3\times C_3$ (as 9T4) trivial $46.051220486$
9.3.24162633971.4 $x^{9} - 2 x^{8} + 4 x^{7} - 6 x^{6} + 18 x^{5} + 2 x^{4} - 13 x^{3} - 7 x^{2} - 18 x + 13$ $-\,7^{6}\cdot 59^{3}$ $S_3\times C_3$ (as 9T4) trivial $56.7124884801$
9.3.27512614111.1 $x^{9} - 3 x^{8} + 4 x^{7} - 10 x^{6} + 5 x^{5} + 19 x^{4} - 49 x^{3} + 131 x^{2} - 153 x + 47$ $-\,31^{7}$ $S_3\times C_3$ (as 9T4) trivial $51.5526497863$
9.3.29595664791.1 $x^{9} - x^{8} + 5 x^{7} - x^{6} - x^{5} + 27 x^{4} - x^{3} - 30 x^{2} + 8$ $-\,3^{3}\cdot 7^{7}\cdot 11^{3}$ $S_3\times C_3$ (as 9T4) trivial $59.7342931979$
9.3.31524548679.1 $x^{9} + 6 x^{7} - 3 x^{6} + 9 x^{5} - 3 x^{4} - 3 x^{3} - 3 x - 1$ $-\,3^{15}\cdot 13^{3}$ $S_3\times C_3$ (as 9T4) trivial $79.5860975673$
9.3.32127240704.1 $x^{9} - 2 x^{8} - x^{7} - x^{6} + 11 x^{5} - 2 x^{4} - 20 x^{3} + 19 x^{2} - 7 x + 1$ $-\,2^{9}\cdot 13^{7}$ $S_3\times C_3$ (as 9T4) trivial $55.1499115561$
9.3.36992610368.1 $x^{9} - 2 x^{8} + x^{6} - 15 x^{5} + 15 x^{4} - 15 x^{3} - 12 x^{2} + 39 x - 41$ $-\,2^{6}\cdot 7^{6}\cdot 17^{3}$ $S_3\times C_3$ (as 9T4) trivial $71.5916772609$
9.3.38883943647.2 $x^{9} - 6 x^{7} - 4 x^{6} - 9 x^{5} - 12 x^{4} - 31 x^{3} - 54 x^{2} - 36 x - 8$ $-\,3^{13}\cdot 29^{3}$ $S_3\times C_3$ (as 9T4) trivial $114.388658826$
9.3.45270270144.5 $x^{9} + 3 x^{7} - 3 x^{6} + 9 x^{5} - 6 x^{4} + 2 x^{3} - 27 x^{2} - 15 x - 1$ $-\,2^{6}\cdot 3^{12}\cdot 11^{3}$ $S_3\times C_3$ (as 9T4) trivial $61.5384431104$
9.3.45270270144.6 $x^{9} + 3 x^{7} - 5 x^{6} + 27 x^{5} - 12 x^{4} - 20 x^{3} + 9 x^{2} - 3 x - 1$ $-\,2^{6}\cdot 3^{12}\cdot 11^{3}$ $S_3\times C_3$ (as 9T4) trivial $56.3230384167$
9.3.45270270144.7 $x^{9} - 3 x^{8} + 9 x^{7} - 12 x^{6} + 6 x^{5} + 21 x^{4} - 37 x^{3} + 33 x^{2} - 18 x + 3$ $-\,2^{6}\cdot 3^{12}\cdot 11^{3}$ $S_3\times C_3$ (as 9T4) trivial $153.023632461$
9.3.49633171875.1 $x^{9} - 4 x^{7} - 3 x^{6} - 18 x^{5} + 8 x^{4} - 24 x^{3} + 18 x^{2} - 4 x - 1$ $-\,3^{3}\cdot 5^{6}\cdot 7^{6}$ $S_3\times C_3$ (as 9T4) trivial $53.7202008145$
9.3.51645087424.1 $x^{9} + 7 x^{7} - 11 x^{6} + 35 x^{5} - 28 x^{4} + 24 x^{3} + 7 x^{2} - 7 x + 1$ $-\,2^{6}\cdot 7^{6}\cdot 19^{3}$ $S_3\times C_3$ (as 9T4) trivial $85.8297617101$
9.3.51645087424.2 $x^{9} - 10 x^{7} - 8 x^{6} + 24 x^{5} + 16 x^{4} - 52 x^{3} - 8 x^{2} + 16 x + 8$ $-\,2^{6}\cdot 7^{6}\cdot 19^{3}$ $S_3\times C_3$ (as 9T4) trivial $60.1226217748$
9.3.51645087424.3 $x^{9} - 3 x^{8} - 2 x^{7} + 8 x^{6} - 4 x^{5} + 22 x^{4} - 46 x^{3} + 56 x^{2} - 69 x + 29$ $-\,2^{6}\cdot 7^{6}\cdot 19^{3}$ $S_3\times C_3$ (as 9T4) trivial $64.5404914438$
9.3.55175798943.1 $x^{9} - 6 x^{7} - 9 x^{6} + 9 x^{5} + 9 x^{4} - x^{3} + 27 x - 27$ $-\,3^{12}\cdot 47^{3}$ $S_3\times C_3$ (as 9T4) trivial $184.979260801$
9.3.57207791296.1 $x^{9} - x^{8} - 5 x^{7} + 2 x^{6} + 16 x^{5} - 7 x^{4} - 23 x^{3} + 23 x^{2} - 8 x + 1$ $-\,2^{6}\cdot 19^{7}$ $S_3\times C_3$ (as 9T4) trivial $55.5783760973$
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