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Label Polynomial Discriminant Galois group Class group Regulator
9.3.962721767.1 $x^{9} - x^{8} + 2 x^{7} - 4 x^{2} + 4 x - 1$ $-\,7^{8}\cdot 167$ $S_3 \wr C_3 $ (as 9T28) trivial $7.77137506101$
9.3.1446965051.1 $x^{9} - x^{8} + 2 x^{7} + 7 x^{4} - 7 x^{3} + 3 x^{2} + 4 x - 1$ $-\,7^{8}\cdot 251$ $S_3 \wr C_3 $ (as 9T28) trivial $9.97786856071$
9.5.1619909081.1 $x^{9} - x^{8} + 2 x^{7} - 7 x^{6} + 7 x^{3} + 3 x^{2} - 3 x - 1$ $7^{8}\cdot 281$ $S_3 \wr C_3 $ (as 9T28) trivial $13.3970481809$
9.5.2426981221.1 $x^{9} - 3 x^{8} + 4 x^{7} - 7 x^{5} + 7 x^{4} - 5 x^{2} + x + 1$ $7^{8}\cdot 421$ $S_3 \wr C_3 $ (as 9T28) trivial $17.6884774367$
9.5.2588395649.1 $x^{9} - x^{8} - 5 x^{7} + 7 x^{6} + 7 x^{5} - 14 x^{4} + 10 x^{2} - 3 x - 1$ $7^{8}\cdot 449$ $S_3 \wr C_3 $ (as 9T28) trivial $17.5790052425$
9.3.3222523759.1 $x^{9} - 3 x^{8} + 4 x^{7} - 7 x^{6} + 7 x^{5} - 7 x^{4} + 7 x^{3} - 5 x^{2} + x + 1$ $-\,7^{8}\cdot 13\cdot 43$ $S_3 \wr C_3 $ (as 9T28) trivial $14.4945702598$
9.3.4796314432.1 $x^{9} - x^{8} + 2 x^{7} - 7 x^{6} + 7 x^{5} - 7 x^{4} + 7 x^{3} - 4 x^{2} + 4 x - 1$ $-\,2^{6}\cdot 7^{8}\cdot 13$ $S_3 \wr C_3 $ (as 9T28) trivial $21.2229745972$
9.3.5320911323.1 $x^{9} - 3 x^{8} + 4 x^{7} - 7 x^{5} + 14 x^{4} - 14 x^{3} + 9 x^{2} - 6 x + 1$ $-\,7^{8}\cdot 13\cdot 71$ $S_3 \wr C_3 $ (as 9T28) trivial $20.6618637398$
9.5.8237900629.1 $x^{9} - 2 x^{8} + x^{7} - 7 x^{5} - 7 x^{4} + 6 x^{2} + 2 x - 1$ $7^{8}\cdot 1429$ $S_3 \wr C_3 $ (as 9T28) trivial $36.4836887659$
9.3.9517686451.1 $x^{9} - 4 x^{8} + 11 x^{7} - 21 x^{6} + 35 x^{5} - 42 x^{4} + 35 x^{3} - 23 x^{2} + 8 x - 1$ $-\,7^{8}\cdot 13\cdot 127$ $S_3 \wr C_3 $ (as 9T28) trivial $29.5376511026$
9.3.10163344163.1 $x^{9} - 3 x^{8} + 4 x^{7} - 14 x^{5} + 28 x^{4} - 21 x^{3} + 9 x^{2} - 6 x + 1$ $-\,7^{8}\cdot 41\cdot 43$ $S_3 \wr C_3 $ (as 9T28) trivial $29.2813395826$
9.7.10647587447.1 $x^{9} - 2 x^{8} - 6 x^{7} + 7 x^{6} + 14 x^{5} - 7 x^{3} - 8 x^{2} - 5 x - 1$ $-\,7^{8}\cdot 1847$ $S_3 \wr C_3 $ (as 9T28) trivial $54.2395001219$
9.5.10699470656.1 $x^{9} - 2 x^{8} + x^{7} - 7 x^{6} + 7 x^{5} + 14 x^{3} - x^{2} - 5 x - 1$ $2^{6}\cdot 7^{8}\cdot 29$ $S_3 \wr C_3 $ (as 9T28) trivial $42.1102547294$
9.5.10820531477.1 $x^{9} - 4 x^{8} + 4 x^{7} + 7 x^{6} - 14 x^{5} + 14 x^{3} - 2 x^{2} - 6 x - 1$ $7^{8}\cdot 1877$ $S_3 \wr C_3 $ (as 9T28) trivial $43.1737889879$
9.3.11454659587.1 $x^{9} - 7 x^{5} - 14 x^{3} - 7 x^{2} - 7 x - 7$ $-\,7^{8}\cdot 1987$ $S_3 \wr C_3 $ (as 9T28) trivial $29.6924906568$
9.3.11454659587.2 $x^{9} - 4 x^{8} + 11 x^{7} - 21 x^{6} + 28 x^{5} - 28 x^{4} + 14 x^{3} - 2 x^{2} - 6 x - 1$ $-\,7^{8}\cdot 1987$ $S_3 \wr C_3 $ (as 9T28) trivial $32.8893904397$
9.3.11454659587.3 $x^{9} - x^{8} + 2 x^{7} - 7 x^{5} + 7 x^{4} - 14 x^{3} + 3 x^{2} - 3 x - 1$ $-\,7^{8}\cdot 1987$ $S_3 \wr C_3 $ (as 9T28) trivial $32.3657991422$
9.5.12273261329.1 $x^{9} - x^{8} - 5 x^{7} + 7 x^{6} + 14 x^{5} - 14 x^{4} - 21 x^{3} + 10 x^{2} + 11 x - 1$ $7^{8}\cdot 2129$ $S_3 \wr C_3 $ (as 9T28) trivial $42.4967209888$
9.5.12918919041.1 $x^{9} - 3 x^{8} + 4 x^{7} - 7 x^{6} + 7 x^{5} + 2 x^{2} - 6 x + 1$ $3^{3}\cdot 7^{8}\cdot 83$ $S_3 \wr C_3 $ (as 9T28) trivial $45.346703534$
9.5.13564576753.1 $x^{9} - 2 x^{8} - 6 x^{7} + 14 x^{6} - 7 x^{4} - x^{2} - 5 x - 1$ $7^{8}\cdot 13\cdot 181$ $S_3 \wr C_3 $ (as 9T28) trivial $47.4832587944$
9.3.13875876007.1 $x^{9} - 2 x^{8} + 8 x^{7} - 7 x^{6} + 14 x^{5} - 7 x^{4} + 7 x^{3} - x^{2} - 5 x - 1$ $-\,7^{8}\cdot 29\cdot 83$ $S_3 \wr C_3 $ (as 9T28) trivial $30.1132619775$
9.5.14048820037.1 $x^{9} - x^{8} - 5 x^{7} - 7 x^{6} + 7 x^{4} + 7 x^{3} + 3 x^{2} - 3 x - 1$ $7^{8}\cdot 2437$ $S_3 \wr C_3 $ (as 9T28) trivial $47.60659752$
9.3.15126837824.1 $x^{9} - 7 x^{6} - 7 x^{4} + 7 x^{2} + 7 x + 7$ $-\,2^{6}\cdot 7^{8}\cdot 41$ $S_3 \wr C_3 $ (as 9T28) trivial $36.2394207958$
9.3.15812849143.1 $x^{9} - x^{8} + 2 x^{7} - 7 x^{5} + 7 x^{4} - 7 x^{3} + 3 x^{2} + 11 x - 1$ $-\,7^{8}\cdot 13\cdot 211$ $S_3 \wr C_3 $ (as 9T28) trivial $43.3624962457$
9.5.15864732352.1 $x^{9} - 2 x^{8} + x^{7} + 7 x^{6} - 7 x^{5} + 14 x^{3} - x^{2} - 5 x - 1$ $2^{6}\cdot 7^{8}\cdot 43$ $S_3 \wr C_3 $ (as 9T28) trivial $56.9974361979$
9.3.16781335711.1 $x^{9} - 2 x^{8} + x^{7} + 7 x^{5} - 14 x^{4} + 7 x^{3} - x^{2} - 5 x - 1$ $-\,7^{8}\cdot 41\cdot 71$ $S_3 \wr C_3 $ (as 9T28) trivial $38.7891349342$
9.5.17115694169.1 $x^{9} - 4 x^{8} + 4 x^{7} - 7 x^{5} + 14 x^{4} - 7 x^{3} - 2 x^{2} + 8 x - 8$ $7^{8}\cdot 2969$ $S_3 \wr C_3 $ (as 9T28) trivial $60.0979975279$
9.3.17426993423.1 $x^{9} - 4 x^{8} + 11 x^{7} - 21 x^{6} + 28 x^{5} - 21 x^{4} + 14 x^{3} - 2 x^{2} - 6 x - 1$ $-\,7^{8}\cdot 3023$ $S_3 \wr C_3 $ (as 9T28) trivial $37.6110406683$
9.5.17599937453.1 $x^{9} - x^{8} - 5 x^{7} + 14 x^{5} + 7 x^{4} - 14 x^{3} - 18 x^{2} + 4 x + 13$ $7^{8}\cdot 43\cdot 71$ $S_3 \wr C_3 $ (as 9T28) trivial $58.3432905948$
9.5.17922766309.1 $x^{9} - 7 x^{7} - 7 x^{6} + 14 x^{5} + 21 x^{4} - 7 x^{3} - 21 x^{2} + 7$ $7^{8}\cdot 3109$ $S_3 \wr C_3 $ (as 9T28) trivial $53.6420089396$
9.5.18568424021.1 $x^{9} - x^{8} - 5 x^{7} + 7 x^{5} + 7 x^{4} + 3 x^{2} - 3 x - 1$ $7^{8}\cdot 3221$ $S_3 \wr C_3 $ (as 9T28) trivial $57.6047257181$
9.5.18891252877.1 $x^{9} - 7 x^{7} + 14 x^{5} - 7 x^{4} - 7 x^{3} + 21 x^{2} - 7 x - 7$ $7^{8}\cdot 29\cdot 113$ $S_3 \wr C_3 $ (as 9T28) trivial $57.2296067119$
9.3.19202552131.1 $x^{9} - 2 x^{8} + x^{7} - 7 x^{6} + 7 x^{5} + 7 x^{3} - x^{2} + 2 x - 1$ $-\,7^{8}\cdot 3331$ $S_3 \wr C_3 $ (as 9T28) trivial $40.9491390492$
9.3.19202552131.2 $x^{9} - 2 x^{8} + x^{7} + 7 x^{6} - 7 x^{5} - 7 x^{3} + 13 x^{2} + 2 x - 1$ $-\,7^{8}\cdot 3331$ $S_3 \wr C_3 $ (as 9T28) trivial $45.1161168028$
9.3.19202552131.3 $x^{9} - 2 x^{8} + x^{7} + 7 x^{6} - 14 x^{5} + 14 x^{4} - 8 x^{2} + 9 x - 1$ $-\,7^{8}\cdot 3331$ $S_3 \wr C_3 $ (as 9T28) trivial $39.0158105383$
9.3.19363966559.1 $x^{9} - 4 x^{8} + 11 x^{7} - 14 x^{6} + 7 x^{5} + 14 x^{4} - 28 x^{3} + 19 x^{2} - 6 x - 1$ $-\,7^{8}\cdot 3359$ $S_3 \wr C_3 $ (as 9T28) trivial $40.7706483461$
9.5.19375496161.1 $x^{9} - x^{8} - 5 x^{7} + 7 x^{6} + 7 x^{5} - 21 x^{4} + 24 x^{2} - 3 x - 1$ $7^{8}\cdot 3361$ $S_3 \wr C_3 $ (as 9T28) trivial $64.498054286$
9.7.21785182979.1 $x^{9} - 2 x^{8} - 6 x^{7} + 14 x^{6} - 7 x^{5} + 14 x^{3} - x^{2} - 5 x - 1$ $-\,7^{8}\cdot 3779$ $S_3 \wr C_3 $ (as 9T28) trivial $86.126426267$
9.7.22592255119.1 $x^{9} - 2 x^{8} - 6 x^{7} + 14 x^{6} + 7 x^{5} - 28 x^{4} + 20 x^{2} + 2 x - 1$ $-\,7^{8}\cdot 3919$ $S_3 \wr C_3 $ (as 9T28) trivial $84.6817113606$
9.3.24044984971.1 $x^{9} - 3 x^{8} + 4 x^{7} - 7 x^{6} + 7 x^{5} - 7 x^{3} + 16 x^{2} - 20 x + 8$ $-\,7^{8}\cdot 43\cdot 97$ $S_3 \wr C_3 $ (as 9T28) trivial $42.2814965685$
9.5.24217929001.1 $x^{9} - x^{8} - 5 x^{7} + 7 x^{6} - 7 x^{4} + 21 x^{3} - 18 x^{2} - 10 x + 13$ $7^{8}\cdot 4201$ $S_3 \wr C_3 $ (as 9T28) trivial $66.248555618$
9.5.24379343429.1 $x^{9} - x^{8} + 2 x^{7} - 14 x^{5} + 14 x^{4} - 7 x^{3} + 3 x^{2} + 4 x - 1$ $7^{8}\cdot 4229$ $S_3 \wr C_3 $ (as 9T28) trivial $61.2072797384$
9.3.25013471539.1 $x^{9} - 2 x^{8} + x^{7} + 7 x^{4} - 14 x^{3} + 6 x^{2} + 9 x - 1$ $-\,7^{8}\cdot 4339$ $S_3 \wr C_3 $ (as 9T28) trivial $53.0612167177$
9.5.26154902137.1 $x^{9} - 4 x^{8} + 4 x^{7} - 7 x^{5} + 14 x^{4} - 2 x^{2} + 8 x - 1$ $7^{8}\cdot 13\cdot 349$ $S_3 \wr C_3 $ (as 9T28) trivial $71.9129177243$
9.5.26154902137.2 $x^{9} - 2 x^{8} + x^{7} - 14 x^{5} + 28 x^{4} - 14 x^{3} - 15 x^{2} + 9 x - 1$ $7^{8}\cdot 13\cdot 349$ $S_3 \wr C_3 $ (as 9T28) trivial $63.5616330535$
9.3.26304786963.1 $x^{9} - x^{8} + 2 x^{7} - 14 x^{4} - 7 x^{3} + 3 x^{2} + 4 x - 1$ $-\,3^{3}\cdot 7^{8}\cdot 13^{2}$ $(C_3^3:C_3):C_2$ (as 9T22) trivial $52.4067787714$
9.5.26639145421.1 $x^{9} - 7 x^{7} + 7 x^{5} - 7 x^{4} + 14 x^{3} + 14 x^{2} + 7$ $7^{8}\cdot 4621$ $S_3 \wr C_3 $ (as 9T28) trivial $70.2698341368$
9.3.27434687959.1 $x^{9} - 2 x^{8} + x^{7} - 7 x^{5} + 28 x^{3} - 15 x^{2} - 12 x - 1$ $-\,7^{8}\cdot 4759$ $S_3 \wr C_3 $ (as 9T28) trivial $51.9626211498$
9.3.28080345671.1 $x^{9} - 2 x^{8} + 8 x^{7} - 14 x^{6} + 28 x^{5} - 35 x^{4} + 42 x^{3} - 29 x^{2} + 9 x - 1$ $-\,7^{8}\cdot 4871$ $S_3 \wr C_3 $ (as 9T28) trivial $52.1546644566$
9.5.28253289701.1 $x^{9} - 2 x^{8} + x^{7} - 7 x^{6} + 21 x^{4} - 21 x^{3} + 13 x^{2} + 2 x - 1$ $7^{8}\cdot 13^{2}\cdot 29$ $S_3 \wr C_3 $ (as 9T28) trivial $74.1371898216$
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