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Label Polynomial Discriminant Galois group Class group Regulator
9.3.562419575.1 $x^{9} - x^{8} + 3 x^{6} + 3 x^{4} - x^{3} - 2 x^{2} - 3 x - 1$ $-\,5^{2}\cdot 23^{3}\cdot 43^{2}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $5.81245999979$
9.3.3031561951.1 $x^{9} - 2 x^{8} - 2 x^{7} + 6 x^{6} - 4 x^{5} + x^{4} - 2 x^{3} + 10 x^{2} - 6 x - 1$ $-\,11^{2}\cdot 29^{2}\cdot 31^{3}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $19.1958627766$
9.3.3303494199.1 $x^{9} - 3 x^{8} + 5 x^{7} - 7 x^{6} + 10 x^{4} - 19 x^{3} + 12 x^{2} - 3 x + 3$ $-\,3^{4}\cdot 31^{3}\cdot 37^{2}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $19.4806368909$
9.3.4616841152.1 $x^{9} - x^{8} - 2 x^{7} + x^{6} + x^{5} + 7 x^{4} - 7 x^{3} + 10 x^{2} - 10 x + 1$ $-\,2^{6}\cdot 7^{2}\cdot 11^{2}\cdot 23^{3}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $22.9732396635$
9.3.4616841152.2 $x^{9} - x^{8} - x^{7} - 4 x^{6} + 4 x^{5} + 23 x^{4} - 35 x^{3} + 5 x^{2} + 6 x + 1$ $-\,2^{6}\cdot 7^{2}\cdot 11^{2}\cdot 23^{3}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $20.4253836621$
9.3.6276397671.1 $x^{9} - 4 x^{7} - 3 x^{6} + 9 x^{5} + 13 x^{4} - 5 x^{3} - 15 x^{2} - 8 x - 1$ $-\,3^{6}\cdot 17^{2}\cdot 31^{3}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $22.7015800287$
9.3.7497609575.1 $x^{9} - x^{8} - 2 x^{7} + x^{6} - 5 x^{5} + 2 x^{4} + 5 x^{3} - 7 x^{2} - 14 x + 1$ $-\,5^{2}\cdot 23^{3}\cdot 157^{2}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $25.1064059729$
9.3.8728715303.2 $x^{9} - 4 x^{8} + 2 x^{7} + 8 x^{6} - 8 x^{5} + 3 x^{4} - 2 x^{3} + 4 x^{2} - 14 x + 5$ $-\,7^{2}\cdot 11^{4}\cdot 23^{3}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $35.1604062155$
9.3.8885517056.1 $x^{9} - x^{8} - 6 x^{7} + 11 x^{6} + 4 x^{5} - 15 x^{4} - x^{3} + 18 x^{2} - 14 x + 2$ $-\,2^{8}\cdot 13^{2}\cdot 59^{3}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $58.9598490663$
9.3.9053014784.1 $x^{9} - x^{8} - x^{7} - 3 x^{6} - 6 x^{5} + 4 x^{4} - 2 x^{3} - 2 x^{2} + 4 x + 2$ $-\,2^{8}\cdot 11^{3}\cdot 163^{2}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $77.6178317369$
9.3.9502786304.1 $x^{9} - x^{8} + 6 x^{6} - 2 x^{3} - 4 x^{2} - 7 x - 1$ $-\,2^{8}\cdot 11^{3}\cdot 167^{2}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $78.6763121532$
9.3.11488631031.1 $x^{9} + x^{7} - 3 x^{6} - 6 x^{5} + 2 x^{4} - 5 x^{3} + 9 x^{2} - 7 x - 1$ $-\,3^{6}\cdot 23^{2}\cdot 31^{3}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $41.6467727207$
9.3.11661351647.1 $x^{9} - 3 x^{8} + x^{6} + 7 x^{5} + 9 x^{4} - 21 x^{3} + 2 x^{2} - 20 x + 25$ $-\,11^{2}\cdot 23^{3}\cdot 89^{2}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $38.3203988913$
9.3.12859255359.1 $x^{9} - 2 x^{8} + 5 x^{6} - 11 x^{5} + 12 x^{4} - 25 x^{3} + 45 x^{2} - 27 x + 3$ $-\,3^{4}\cdot 31^{3}\cdot 73^{2}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $38.0424211549$
9.3.13089714176.1 $x^{9} - 2 x^{8} - 4 x^{7} + 4 x^{6} + 10 x^{5} + 12 x^{4} - 30 x^{3} - 16 x^{2} + 16 x + 8$ $-\,2^{12}\cdot 7^{4}\cdot 11^{3}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $95.7417938032$
9.5.14552404288.1 $x^{9} - 2 x^{8} + x^{7} + x^{6} - 5 x^{5} + 6 x^{4} - 2 x^{3} - 3 x^{2} + 5 x - 1$ $2^{6}\cdot 37^{3}\cdot 67^{2}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $44.9264652859$
9.3.15289551047.1 $x^{9} - 4 x^{8} + 5 x^{7} + x^{6} - 17 x^{5} + 43 x^{4} - 44 x^{3} + 11 x^{2} - 2 x + 1$ $-\,19^{2}\cdot 23^{3}\cdot 59^{2}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $36.7716907104$
9.3.16855297943.1 $x^{9} - 9 x^{7} - x^{6} + 25 x^{5} - 9 x^{4} - 25 x^{3} + 2 x^{2} - 6 x - 1$ $-\,11^{2}\cdot 23^{3}\cdot 107^{2}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $42.4064839446$
9.3.18437397287.3 $x^{9} - x^{8} - 8 x^{7} + 8 x^{6} + 23 x^{5} - 33 x^{4} - 65 x^{3} - 12 x^{2} + 9 x - 1$ $-\,23^{3}\cdot 1231^{2}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $29.1940752806$
9.3.19018604191.1 $x^{9} - 4 x^{8} + 7 x^{7} - 8 x^{6} + 2 x^{5} + 4 x^{4} + 12 x^{3} - 21 x^{2} - 13 x + 11$ $-\,17^{2}\cdot 31^{3}\cdot 47^{2}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $55.2488259435$
9.3.19163329175.1 $x^{9} - x^{8} - 6 x^{7} - 2 x^{6} + 20 x^{5} + 22 x^{4} - 32 x^{3} - 30 x^{2} + 10 x + 11$ $-\,5^{2}\cdot 23^{3}\cdot 251^{2}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $50.2713135767$
9.3.19193880512.1 $x^{9} - 5 x^{7} - 7 x^{6} + 11 x^{5} + 22 x^{4} + 2 x^{3} - 31 x^{2} - 19 x + 1$ $-\,2^{6}\cdot 23^{3}\cdot 157^{2}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $50.756283119$
9.3.20184371648.1 $x^{9} - x^{8} - 2 x^{7} + x^{6} + 9 x^{5} - 17 x^{4} - 3 x^{3} + 22 x^{2} - 22 x + 1$ $-\,2^{6}\cdot 7^{2}\cdot 23^{5}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $43.4838630414$
9.3.21167672087.1 $x^{9} - x^{8} + x^{7} + 7 x^{6} - 14 x^{5} + 6 x^{4} - 10 x^{3} - 17 x^{2} - 7 x - 1$ $-\,23^{3}\cdot 1319^{2}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $51.6557133004$
9.3.21749352023.1 $x^{9} - 4 x^{8} + 2 x^{7} + 11 x^{6} - 19 x^{5} + 16 x^{4} - 17 x^{3} + 35 x^{2} - 53 x + 23$ $-\,7^{2}\cdot 23^{3}\cdot 191^{2}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $46.5395904925$
9.3.22637694896.1 $x^{9} - 3 x^{8} + 8 x^{6} - 10 x^{5} - 9 x^{4} + 16 x^{3} + 8 x^{2} - 8 x - 4$ $-\,2^{4}\cdot 59^{3}\cdot 83^{2}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $61.7858465995$
9.3.23650508871.1 $x^{9} - 4 x^{8} + 4 x^{7} - 3 x^{6} + 17 x^{5} - 20 x^{4} - 11 x^{3} + 10 x^{2} - 4 x + 1$ $-\,3^{8}\cdot 11^{2}\cdot 31^{3}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $61.0319809489$
9.3.24077115991.1 $x^{9} - 3 x^{7} - 3 x^{6} + 12 x^{5} - 33 x^{3} + 21 x^{2} - 7 x - 1$ $-\,29^{2}\cdot 31^{5}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $35.1811667607$
9.3.24110756800.1 $x^{9} - 2 x^{8} - 3 x^{7} + 11 x^{6} - 9 x^{5} - 8 x^{4} + 20 x^{3} - 7 x^{2} - 5 x - 1$ $-\,2^{6}\cdot 5^{2}\cdot 13^{3}\cdot 19^{3}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $78.6486738731$
9.5.24112521369.1 $x^{9} + 3 x^{7} - 4 x^{6} - 6 x^{5} + 3 x^{4} - 10 x^{3} + 3 x^{2} + 6 x + 1$ $3^{9}\cdot 107^{3}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $105.680321556$
9.3.24303729344.1 $x^{9} - x^{8} - 2 x^{7} + 8 x^{6} - 13 x^{5} + 14 x^{4} - 16 x^{3} + 12 x^{2} - 6 x - 1$ $-\,2^{6}\cdot 43^{2}\cdot 59^{3}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $61.2348465306$
9.3.25160316751.1 $x^{9} - x^{8} - 6 x^{7} + 7 x^{6} + 7 x^{5} - 15 x^{4} + 11 x^{3} + 4 x^{2} - 18 x + 9$ $-\,31^{3}\cdot 919^{2}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $72.0563701177$
9.3.25175691584.1 $x^{9} - x^{8} - 6 x^{7} + 5 x^{6} + 11 x^{5} - 11 x^{4} - 8 x^{3} + 5 x^{2} + 6 x + 2$ $-\,2^{6}\cdot 29^{3}\cdot 127^{2}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $99.286787$
9.3.27216950976.1 $x^{9} - x^{8} - 5 x^{7} + 2 x^{6} + 14 x^{5} - 9 x^{4} - 11 x^{3} + 15 x^{2} - 4 x - 3$ $-\,2^{6}\cdot 3^{2}\cdot 19^{3}\cdot 83^{2}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $72.9618161505$
9.3.27229940672.1 $x^{9} - 2 x^{7} - 7 x^{6} + 3 x^{5} + 7 x^{4} + x^{3} - 18 x^{2} - 17 x + 5$ $-\,2^{6}\cdot 11^{2}\cdot 17^{2}\cdot 23^{3}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $63.4816027228$
9.3.28027448576.1 $x^{9} - 3 x^{8} + x^{7} + x^{5} + 14 x^{4} - 27 x^{3} + 16 x^{2} - 2 x + 1$ $-\,2^{8}\cdot 29^{3}\cdot 67^{2}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $91.3108490904$
9.3.28407316928.1 $x^{9} - 3 x^{8} + 6 x^{7} - 5 x^{6} - 13 x^{5} + 35 x^{4} - 61 x^{3} + 46 x^{2} - 4 x - 25$ $-\,2^{6}\cdot 23^{3}\cdot 191^{2}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $63.2210324737$
9.3.30723115968.1 $x^{9} - 3 x^{8} + x^{6} + 9 x^{5} - 9 x^{4} + 7 x^{3} - 6 x^{2} - 6 x + 3$ $-\,2^{6}\cdot 3^{9}\cdot 29^{3}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $93.8053906276$
9.3.30996752384.1 $x^{9} - 3 x^{8} + 3 x^{7} + 2 x^{6} - 7 x^{5} + 4 x^{4} + x^{3} - 4 x^{2} + 1$ $-\,2^{11}\cdot 13^{3}\cdot 83^{2}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $83.1307960241$
9.3.31177145439.1 $x^{9} - 3 x^{8} + 3 x^{7} - 7 x^{6} + 5 x^{5} + 3 x^{4} + 5 x^{3} - 4 x^{2} - 15 x + 1$ $-\,3^{2}\cdot 11^{2}\cdot 31^{5}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $56.2698186242$
9.3.31728129984.1 $x^{9} - x^{8} - 2 x^{7} + 3 x^{6} + 3 x^{5} - 13 x^{4} - 51 x^{3} - 80 x^{2} - 48 x - 9$ $-\,2^{6}\cdot 3^{2}\cdot 31^{3}\cdot 43^{2}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $84.1845027659$
9.3.33336714375.3 $x^{9} - 4 x^{8} + 15 x^{6} - 15 x^{5} - 9 x^{4} + 32 x^{3} - 11 x^{2} - 15 x + 9$ $-\,3^{7}\cdot 5^{4}\cdot 29^{3}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $131.669511879$
9.3.33662906479.2 $x^{9} - 3 x^{8} + 7 x^{7} - 7 x^{6} - 4 x^{5} + 6 x^{4} - 19 x^{3} - 9 x^{2} - 10 x + 1$ $-\,31^{3}\cdot 1063^{2}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $44.268846724$
9.3.34013870528.1 $x^{9} - 2 x^{8} + x^{7} + x^{6} - 13 x^{5} + 8 x^{4} + 16 x^{3} + 3 x^{2} - 17 x + 1$ $-\,2^{6}\cdot 11^{2}\cdot 19^{2}\cdot 23^{3}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $65.5694830084$
9.5.34373550825.1 $x^{9} - 3 x^{6} - 5 x^{5} + 5 x^{2} - 1$ $3^{4}\cdot 5^{2}\cdot 257^{3}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $111.550660485$
9.5.34373550825.2 $x^{9} - 6 x^{7} - x^{6} + 4 x^{5} - 9 x^{4} - x^{3} + 17 x^{2} + 9 x + 1$ $3^{4}\cdot 5^{2}\cdot 257^{3}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $114.782085605$
9.3.34667968448.1 $x^{9} - 3 x^{8} + 5 x^{7} - 10 x^{6} + 2 x^{5} + 19 x^{4} - 29 x^{3} + 45 x^{2} - 49$ $-\,2^{6}\cdot 23^{3}\cdot 211^{2}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $55.7367591171$
9.3.35403742700.1 $x^{9} - 6 x^{7} - x^{6} + 11 x^{5} - 3 x^{4} - 13 x^{3} + 4 x^{2} + 4 x - 2$ $-\,2^{2}\cdot 5^{2}\cdot 17^{2}\cdot 107^{3}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $132.27592699$
9.3.35994852800.1 $x^{9} - x^{8} + 2 x^{7} - 15 x^{6} + 17 x^{5} + 7 x^{4} - 43 x^{3} + 40 x^{2} - 20 x + 5$ $-\,2^{6}\cdot 5^{2}\cdot 23^{3}\cdot 43^{2}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $70.862969747$
9.3.36035099127.2 $x^{9} - 2 x^{7} - 3 x^{6} - 3 x^{5} + 4 x^{4} - 6 x^{3} + 3 x^{2} - 2 x - 1$ $-\,3^{6}\cdot 367^{3}$ $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ (as 9T29) trivial $90.440491342$
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