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Label	Polynomial	Degree	Signature	Discriminant	Ram. prime count	Root discriminant	CM field	Galois	Monogenic	Galois group	Class group	Unit group torsion	Unit group rank	Regulator
6.2.571781.1	x^6 - x^5 + x^4 - 3x^2 + 2x - 3	$6$	[2,2]	$7^{3}\cdot 1667$	$2$	$9.11041764581$			✓	$S_6$ (as 6T16)	trivial	$2$	$3$	$5.20503855421$
6.2.1251264.1	x^6 - 3x^4 - 2x^3 + 4x^2 - 4x + 1	$6$	[2,2]	$2^{6}\cdot 3\cdot 7^{3}\cdot 19$	$4$	$10.380656611$			?	$C_3^2:D_4$ (as 6T13)	trivial	$2$	$3$	$7.54803826268$
6.2.1416933.1	x^6 - x^5 + x^4 + 2x^3 - 4x^2 + x + 1	$6$	[2,2]	$3^{5}\cdot 7^{3}\cdot 17$	$3$	$10.5980236868$			✓	$S_6$ (as 6T16)	trivial	$2$	$3$	$5.8358853772$
6.2.1838137.1	x^6 - x^5 + 3x^4 + 2x^3 - x^2 + 3x + 2	$6$	[2,2]	$7^{3}\cdot 23\cdot 233$	$3$	$11.0678427343$			✓	$S_6$ (as 6T16)	trivial	$2$	$3$	$14.5092959982$
6.2.2079952.1	x^6 - x^5 - 2x^4 - x^3 + 2x^2 - x - 3	$6$	[2,2]	$2^{4}\cdot 7^{3}\cdot 379$	$3$	$11.2981902996$			?	$S_6$ (as 6T16)	trivial	$2$	$3$	$11.3343306294$
6.4.2722048.1	x^6 - 2x^5 + x^4 - 2x^3 - 5x^2 + 1	$6$	[4,1]	$-\,2^{8}\cdot 7^{3}\cdot 31$	$3$	$11.8163305075$			✓	$C_3^2:D_4$ (as 6T13)	trivial	$2$	$4$	$20.2670613295$
6.4.2873311.1	x^6 - 3x^5 + x^4 - x^3 + 3x + 1	$6$	[4,1]	$-\,7^{3}\cdot 8377$	$2$	$11.9233174231$			✓	$S_6$ (as 6T16)	trivial	$2$	$4$	$15.8066867369$
6.4.2895263.1	x^6 + 2x^4 - 9x^3 + x^2 + 5x + 1	$6$	[4,1]	$-\,7^{3}\cdot 23\cdot 367$	$3$	$11.9384516085$			✓	$S_6$ (as 6T16)	trivial	$2$	$4$	$14.8858287053$
6.2.3260901.1	x^6 - 3x^5 + x^3 + x^2 - 4x + 1	$6$	[2,2]	$3\cdot 7^{3}\cdot 3169$	$3$	$12.1774475868$			?	$S_6$ (as 6T16)	trivial	$2$	$3$	$14.9048110715$
6.2.3338076.1	x^6 - 2x^5 - 3x^4 - 4x^3 + 5x^2 + 2x + 2	$6$	[2,2]	$2^{2}\cdot 3\cdot 7^{3}\cdot 811$	$4$	$12.225014138$			?	$S_6$ (as 6T16)	trivial	$2$	$3$	$19.7152047623$
6.0.3472875.1	x^6 - x^5 + 3x^4 + 2x^3 - 8x^2 + 3x + 9	$6$	[0,3]	$-\,3^{4}\cdot 5^{3}\cdot 7^{3}$	$3$	$12.3059418527$				$S_3\times C_3$ (as 6T5)	$[2]$	$2$	$2$	$9.11986069984$
6.4.3507175.1	x^6 - x^5 - 5x^4 + 8x^3 + 3x^2 - 7x + 2	$6$	[4,1]	$-\,5^{2}\cdot 7^{3}\cdot 409$	$3$	$12.3261156859$			✓	$S_6$ (as 6T16)	trivial	$2$	$4$	$20.2981960181$
6.2.3625853.1	x^6 - 2x^5 - 10x^4 + 17x^3 + 26x^2 - 12x - 47	$6$	[2,2]	$7^{3}\cdot 11\cdot 31^{2}$	$3$	$12.3946718178$			?	$S_4\times C_2$ (as 6T11)	trivial	$2$	$3$	$13.3009247059$
6.2.4500160.2	x^6 + x^4 - 2x^3 + 2x^2 - 8x + 1	$6$	[2,2]	$2^{6}\cdot 5\cdot 7^{3}\cdot 41$	$4$	$12.8490590752$			?	$S_6$ (as 6T16)	trivial	$2$	$3$	$15.9692449005$
6.2.4665829.1	x^6 - x^5 - 4x^4 - 2x^3 + 8x^2 + 8x + 1	$6$	[2,2]	$7^{3}\cdot 61\cdot 223$	$3$	$12.9267138834$			✓	$S_6$ (as 6T16)	trivial	$2$	$3$	$9.37439579173$
6.0.4768043.1	x^6 - 2x^5 + 10x^4 - 13x^3 + 26x^2 - 18x + 11	$6$	[0,3]	$-\,7^{3}\cdot 13901$	$2$	$12.9734861909$			?	$S_6$ (as 6T16)	$[2]$	$2$	$2$	$9.54170707458$
6.2.4790681.1	x^6 - 3x^5 + 2x^3 + 3x^2 + 8x + 4	$6$	[2,2]	$7^{3}\cdot 13967$	$2$	$12.9837319896$			?	$S_6$ (as 6T16)	trivial	$2$	$3$	$16.6944065487$
6.2.5422144.1	x^6 - 6x^4 - 2x^3 + 16x^2 + 6x - 13	$6$	[2,2]	$2^{6}\cdot 7^{3}\cdot 13\cdot 19$	$4$	$13.2544539687$			?	$S_6$ (as 6T16)	trivial	$2$	$3$	$29.5650484469$
6.2.5525044.1	x^6 - x^5 - 4x^4 - 5x^3 + 6x^2 + 10x + 9	$6$	[2,2]	$2^{2}\cdot 7^{3}\cdot 4027$	$3$	$13.2960495065$			?	$S_6$ (as 6T16)	trivial	$2$	$3$	$27.0110252151$
6.4.5809048.1	x^6 - 4x^4 - 11x^3 - 3x^2 + 8x + 4	$6$	[4,1]	$-\,2^{3}\cdot 7^{3}\cdot 29\cdot 73$	$4$	$13.4075932913$			?	$S_6$ (as 6T16)	trivial	$2$	$4$	$29.264088283$
6.0.6027539.1	x^6 - 3x^5 + 8x^4 - 8x^3 + 7x^2 + 3x + 1	$6$	[0,3]	$-\,7^{3}\cdot 17573$	$2$	$13.490353753$			✓	$S_6$ (as 6T16)	$[2]$	$2$	$2$	$5.31153590604$
6.0.6035771.1	x^6 + x^4 - 5x^3 + 2x^2 + x + 1	$6$	[0,3]	$-\,7^{3}\cdot 17597$	$2$	$13.4934227073$			✓	$S_6$ (as 6T16)	$[2]$	$2$	$2$	$3.38697085987$
6.2.6048805.1	x^6 + 2x^4 - 2x^3 + 8x^2 - 9x + 1	$6$	[2,2]	$5\cdot 7^{3}\cdot 3527$	$3$	$13.4982747589$			?	$S_6$ (as 6T16)	trivial	$2$	$3$	$10.0395853395$
6.0.6190807.1	x^6 - x^5 + 3x^4 - 5x^3 + 6x^2 - 4x + 9	$6$	[0,3]	$-\,7^{3}\cdot 18049$	$2$	$13.5505797803$			?	$S_6$ (as 6T16)	$[2]$	$2$	$2$	$8.07108217621$
6.2.6362993.1	x^6 - 2x^5 - 3x^4 + 9x^3 + 6x^2 - 10x - 13	$6$	[2,2]	$7^{3}\cdot 13\cdot 1427$	$3$	$13.6126780811$			?	$S_6$ (as 6T16)	trivial	$2$	$3$	$36.5277372452$
6.2.6586629.1	x^6 - 2x^5 + 4x^4 - 9x^3 + 10x^2 - 2x - 5	$6$	[2,2]	$3\cdot 7^{3}\cdot 37\cdot 173$	$4$	$13.6912741583$			?	$S_6$ (as 6T16)	trivial	$2$	$3$	$17.6423831013$
6.0.6698447.1	x^6 - x^5 - 5x^4 + x^3 + 10x^2 + 7x + 2	$6$	[0,3]	$-\,7^{3}\cdot 59\cdot 331$	$3$	$13.7297413012$			✓	$S_6$ (as 6T16)	$[2]$	$2$	$2$	$11.0202783839$
6.2.6788313.1	x^6 - x^5 + 5x^3 - x^2 + 3x + 4	$6$	[2,2]	$3^{3}\cdot 7^{3}\cdot 733$	$3$	$13.7602706619$			?	$S_6$ (as 6T16)	trivial	$2$	$3$	$31.5478811469$
6.2.6980393.1	x^6 - 3x^5 - x^4 + 5x^3 + 3x^2 + x - 5	$6$	[2,2]	$7^{3}\cdot 47\cdot 433$	$3$	$13.8244112805$			✓	$S_6$ (as 6T16)	trivial	$2$	$3$	$16.4103758394$
6.2.7112448.1	x^6 - 6x^3 + 2	$6$	[2,2]	$2^{8}\cdot 3^{4}\cdot 7^{3}$	$3$	$13.8676599594$			?	$S_3^2$ (as 6T9)	trivial	$2$	$3$	$43.0483401273$
6.0.7245875.1	x^6 - x^5 + 2x^4 - 13x^3 + 3x^2 + 14x + 9	$6$	[0,3]	$-\,5^{3}\cdot 7^{3}\cdot 13^{2}$	$3$	$13.9106836093$			?	$S_3\times C_3$ (as 6T5)	$[2]$	$2$	$2$	$13.9030752667$
6.2.7332997.1	x^6 - x^4 - 4x^3 - 5x^2 - 5x - 3	$6$	[2,2]	$7^{3}\cdot 21379$	$2$	$13.9384212124$			✓	$S_6$ (as 6T16)	trivial	$2$	$3$	$11.408194904$
6.2.7585445.1	x^6 - 2x^5 - 3x^4 + 2x^3 - x^2 - 3x + 1	$6$	[2,2]	$5\cdot 7^{3}\cdot 4423$	$3$	$14.0172723188$			✓	$S_6$ (as 6T16)	trivial	$2$	$3$	$9.49690375921$
6.0.7732935.1	x^6 - x^5 - 2x^4 + 3x^3 + 7x^2 + 5x + 2	$6$	[0,3]	$-\,3^{3}\cdot 5\cdot 7^{3}\cdot 167$	$4$	$14.0623334968$			✓	$S_6$ (as 6T16)	$[2]$	$2$	$2$	$12.6343688937$
6.0.8043007.1	x^6 - x^5 + 2x^4 + x^3 - 4x^2 + 9	$6$	[0,3]	$-\,7^{3}\cdot 131\cdot 179$	$3$	$14.154778393$			?	$S_6$ (as 6T16)	$[2]$	$2$	$2$	$9.01151324414$
6.2.8183980.1	x^6 - x^5 - 6x^4 + 2x^3 + 10x^2 + x + 1	$6$	[2,2]	$2^{2}\cdot 5\cdot 7^{3}\cdot 1193$	$4$	$14.1958290199$			?	$S_6$ (as 6T16)	trivial	$2$	$3$	$25.2239553232$
6.2.8341760.1	x^6 - 3x^5 + x^4 + 2x^2 - 2x + 2	$6$	[2,2]	$2^{8}\cdot 5\cdot 7^{3}\cdot 19$	$4$	$14.241080732$			✓	$S_6$ (as 6T16)	trivial	$2$	$3$	$32.5827753458$
6.2.8363369.1	x^6 + x^4 - 5x^3 + 9x^2 - 6x + 1	$6$	[2,2]	$7^{3}\cdot 37\cdot 659$	$3$	$14.247222599$			✓	$S_6$ (as 6T16)	trivial	$2$	$3$	$16.9610650514$
6.0.8400756.1	x^6 - 2x^5 + 5x^4 - 9x^3 + 9x^2 - 3x + 1	$6$	[0,3]	$-\,2^{2}\cdot 3\cdot 7^{3}\cdot 13\cdot 157$	$5$	$14.25781784$			✓	$S_6$ (as 6T16)	$[2]$	$2$	$2$	$10.6883943099$
6.4.8407616.1	x^6 - 2x^5 - 2x^4 - 2x^3 + 2x^2 + 4x + 1	$6$	[4,1]	$-\,2^{6}\cdot 7^{3}\cdot 383$	$3$	$14.2597576529$			✓	$C_3^2:D_4$ (as 6T13)	trivial	$2$	$4$	$33.2043351527$
6.2.8497825.1	x^6 - x^5 - x^4 + 8x^3 - 15x^2 + 13x - 10	$6$	[2,2]	$5^{2}\cdot 7^{3}\cdot 991$	$3$	$14.2851442608$			?	$S_6$ (as 6T16)	trivial	$2$	$3$	$34.8315724424$
6.4.8674127.1	x^6 - x^5 - 9x^4 - x^3 + 23x^2 + 20x + 4	$6$	[4,1]	$-\,7^{3}\cdot 11^{3}\cdot 19$	$3$	$14.3341175854$			?	$C_3^2:D_4$ (as 6T13)	trivial	$2$	$4$	$21.1817596172$
6.0.8696079.1	x^6 - 2x^5 - x^4 + 3x^3 + 7x^2 - x + 2	$6$	[0,3]	$-\,3^{4}\cdot 7^{3}\cdot 313$	$3$	$14.3401572183$			?	$S_6$ (as 6T16)	$[2]$	$2$	$2$	$14.8259805039$
6.0.8959160.1	x^6 - x^5 + 2x^4 - 6x^3 + 3x^2 + 2	$6$	[0,3]	$-\,2^{3}\cdot 5\cdot 7^{3}\cdot 653$	$4$	$14.411567342$			✓	$S_6$ (as 6T16)	$[2]$	$2$	$2$	$14.7772478164$
6.2.9275749.1	x^6 - 3x^5 + 2x^4 - 5x^3 + 13x^2 - 6x - 5	$6$	[2,2]	$7^{3}\cdot 27043$	$2$	$14.4952206728$			?	$S_6$ (as 6T16)	trivial	$2$	$3$	$24.2999514521$
6.4.9329943.1	x^6 - 2x^5 - 5x^4 + x^3 + 14x^2 + 8x + 1	$6$	[4,1]	$-\,3\cdot 7^{3}\cdot 9067$	$3$	$14.5093012687$			?	$S_6$ (as 6T16)	trivial	$2$	$4$	$52.825959877$
6.2.9451708.1	x^6 - x^5 - 10x^4 + 32x^2 + 29x - 5	$6$	[2,2]	$2^{2}\cdot 7^{3}\cdot 83^{2}$	$3$	$14.5406911299$			?	$S_4\times C_2$ (as 6T11)	trivial	$2$	$3$	$28.644969897$
6.4.9483264.1	x^6 - 2x^5 - 4x^4 + 8x^3 - 2x^2 - 4x + 4	$6$	[4,1]	$-\,2^{10}\cdot 3^{3}\cdot 7^{3}$	$3$	$14.5487709578$			?	$C_3^2:D_4$ (as 6T13)	trivial	$2$	$4$	$67.969721521$
6.2.9551864.1	x^6 - 2x^5 - 3x^4 - 7x^3 + 29x^2 - 27x - 17	$6$	[2,2]	$2^{3}\cdot 7^{3}\cdot 59^{2}$	$3$	$14.5662587961$			?	$S_4\times C_2$ (as 6T11)	trivial	$2$	$3$	$21.6361780597$
6.4.9636928.1	x^6 - 7x^4 - 8x^3 + 7x^2 + 14x + 2	$6$	[4,1]	$-\,2^{6}\cdot 7^{3}\cdot 439$	$3$	$14.5877989445$			?	$C_3^2:D_4$ (as 6T13)	trivial	$2$	$4$	$49.7546406828$

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