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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
6.2.534837384.2	x^6 - x^5 + 2x^4 - 30x^3 + 18x^2 + 33x + 45	$6$	[2,2]	$2^{3}\cdot 3^{3}\cdot 19^{5}$	$3$	$28.4907332113$			?	$S_6$ (as 6T16)	$[3]$	$2$	$3$	$159.127026441$
6.2.633881344.2	x^6 - 2x^5 + 8x^4 - 12x^3 + 22x^2 - 8x - 8	$6$	[2,2]	$2^{8}\cdot 19^{5}$	$2$	$29.3090220978$			?	$\PGL(2,5)$ (as 6T14)	$[6]$	$2$	$3$	$113.031755732$
6.2.3961758400.1	x^6 - 2x^5 - 11x^4 + 26x^3 - 16x^2 - 8x - 8	$6$	[2,2]	$2^{6}\cdot 5^{2}\cdot 19^{5}$	$3$	$39.7784629537$			?	$S_6$ (as 6T16)	$[3]$	$2$	$3$	$697.576218436$
6.2.4813536456.1	x^6 - 2x^5 - 11x^4 - 12x^3 - 92x^2 - 8x - 160	$6$	[2,2]	$2^{3}\cdot 3^{5}\cdot 19^{5}$	$3$	$41.0907477317$			?	$S_6$ (as 6T16)	$[3]$	$2$	$3$	$756.393917192$
6.4.4912580416.1	x^6 - 2x^5 - 11x^4 + 26x^3 + 22x^2 - 84x - 27	$6$	[4,1]	$-\,2^{6}\cdot 19^{5}\cdot 31$	$3$	$41.2304693606$				$C_3^2:D_4$ (as 6T13)	$[3]$	$2$	$4$	$835.230009562$
6.2.6128345025.2	x^6 - 2x^5 - 11x^4 - 31x^3 + 22x^2 - 8x - 8	$6$	[2,2]	$3^{2}\cdot 5^{2}\cdot 11\cdot 19^{5}$	$4$	$42.7783341002$			?	$S_4\times C_2$ (as 6T11)	$[3]$	$2$	$3$	$189.09599892$
6.2.6814224448.2	x^6 - 2x^5 + 8x^4 - 50x^3 + 60x^2 + 68x - 103	$6$	[2,2]	$2^{6}\cdot 19^{5}\cdot 43$	$3$	$43.5414351024$			?	$S_6$ (as 6T16)	$[3]$	$2$	$3$	$434.27148629$
6.2.7118784625.1	x^6 + 95x^2 - 171x - 475	$6$	[2,2]	$5^{3}\cdot 19^{5}\cdot 23$	$3$	$43.8599005192$			?	$S_6$ (as 6T16)	$[3]$	$2$	$3$	$359.511674396$
6.2.8666346500.1	x^6 - 3x^5 - x^4 - 12x^3 - 24x^2 + 20x + 600	$6$	[2,2]	$2^{2}\cdot 5^{3}\cdot 7\cdot 19^{5}$	$4$	$45.3216808469$			?	$S_6$ (as 6T16)	$[3]$	$2$	$3$	$1620.12942168$
6.2.11568334528.1	x^6 - 2x^5 - 11x^4 - 50x^3 - 149x^2 - 84x + 144	$6$	[2,2]	$2^{6}\cdot 19^{5}\cdot 73$	$3$	$47.5567104631$				$S_6$ (as 6T16)	$[3]$	$2$	$3$	$249.342205207$
6.2.15213152256.1	x^6 - 19x^4 - 76x^3 - 152x^2 - 152x - 76	$6$	[2,2]	$2^{11}\cdot 3\cdot 19^{5}$	$3$	$49.7778959187$			?	$C_3^2:D_4$ (as 6T13)	$[6]$	$2$	$3$	$426.909953131$
6.2.16478438845.1	x^6 - 3x^5 - x^4 - 12x^3 + 90x^2 - 531x - 844	$6$	[2,2]	$5\cdot 11^{3}\cdot 19^{5}$	$3$	$50.4451414438$			?	$C_3^2:D_4$ (as 6T13)	$[3]$	$2$	$3$	$838.865543378$
6.0.18385035075.2	x^6 - 2x^5 + 27x^4 + 64x^3 + 193x^2 + 885x + 1455	$6$	[0,3]	$-\,3^{3}\cdot 5^{2}\cdot 11\cdot 19^{5}$	$4$	$51.3740823017$			?	$S_4\times C_2$ (as 6T11)	$[2, 6]$	$2$	$2$	$132.572166575$
6.2.18451889748.1	x^6 - x^5 + 2x^4 + 27x^3 + 94x^2 + 52x - 88	$6$	[2,2]	$2^{2}\cdot 3^{4}\cdot 19^{5}\cdot 23$	$4$	$51.4051710383$			?	$S_6$ (as 6T16)	$[3]$	$2$	$3$	$840.687477542$
6.6.19174910656.1	x^6 - 19x^4 + 76x^2 - 76	$6$	[6,0]	$2^{6}\cdot 11^{2}\cdot 19^{5}$	$3$	$51.7355286865$				$D_{6}$ (as 6T3)	$[3]$	$2$	$5$	$5719.47951675$
6.2.19174910656.4	x^6 + 19x^4 - 361x^2 - 171	$6$	[2,2]	$2^{6}\cdot 11^{2}\cdot 19^{5}$	$3$	$51.7355286865$				$S_4\times C_2$ (as 6T11)	$[12]$	$2$	$3$	$402.263967446$
6.0.20284203008.1	x^6 + 19x^4 + 95x^2 - 304x + 285	$6$	[0,3]	$-\,2^{13}\cdot 19^{5}$	$2$	$52.2227404338$			?	$\PGL(2,5)$ (as 6T14)	$[6]$	$2$	$2$	$808.149034895$
6.2.20858657976.1	x^6 - x^5 - 17x^4 + 27x^3 - 39x^2 + 90x - 126	$6$	[2,2]	$2^{3}\cdot 3^{4}\cdot 13\cdot 19^{5}$	$4$	$52.466375178$			?	$S_6$ (as 6T16)	$[6]$	$2$	$3$	$724.042010408$
6.2.23780454796.1	x^6 + 19x^4 - 57x^2 - 475	$6$	[2,2]	$2^{2}\cdot 7^{4}\cdot 19^{5}$	$3$	$53.6253359589$				$A_4\times C_2$ (as 6T6)	$[3]$	$2$	$3$	$5996.84996624$
6.4.25355253760.1	x^6 - 2x^5 - 30x^4 + 64x^3 - 35x^2 - 46x + 30	$6$	[4,1]	$-\,2^{11}\cdot 5\cdot 19^{5}$	$3$	$54.2015026594$			?	$C_3^2:D_4$ (as 6T13)	$[3]$	$2$	$4$	$2689.24599578$
6.2.30641725125.1	x^6 - 3x^5 + 18x^4 - 31x^3 + 33x^2 - 18x - 1319	$6$	[2,2]	$3^{2}\cdot 5^{3}\cdot 11\cdot 19^{5}$	$4$	$55.9395371602$				$S_4\times C_2$ (as 6T11)	$[12]$	$2$	$3$	$542.30785163$
6.2.31060185856.1	x^6 - 38x^2 - 76x - 76	$6$	[2,2]	$2^{8}\cdot 7^{2}\cdot 19^{5}$	$3$	$56.0661423075$			?	$S_6$ (as 6T16)	$[3]$	$2$	$3$	$1209.54364148$
6.2.35655825600.1	x^6 + 19x^4 + 95x^2 - 475	$6$	[2,2]	$2^{6}\cdot 3^{2}\cdot 5^{2}\cdot 19^{5}$	$4$	$57.3704711025$			?	$S_4\times C_2$ (as 6T11)	$[3]$	$2$	$3$	$1644.4006436$
6.2.35655825600.2	x^6 - 19x^4 + 114x^2 - 171	$6$	[2,2]	$2^{6}\cdot 3^{2}\cdot 5^{2}\cdot 19^{5}$	$4$	$57.3704711025$				$D_{6}$ (as 6T3)	$[3]$	$2$	$3$	$1972.24509379$
6.6.41615795893.1	x^6 - x^5 - 55x^4 + 160x^3 - 20x^2 - 176x + 64	$6$	[6,0]	$7^{5}\cdot 19^{5}$	$2$	$58.867605049$		✓		$C_6$ (as 6T1)	$[3]$	$2$	$5$	$959.925845269$
6.2.45797927104.1	x^6 + 19x^4 - 38x^3 + 19x^2 + 114x - 171	$6$	[2,2]	$2^{6}\cdot 17^{2}\cdot 19^{5}$	$3$	$59.8146597889$			?	$S_6$ (as 6T16)	$[3]$	$2$	$3$	$1157.98690964$
6.2.46590278784.1	x^6 - 2x^5 + 8x^4 - 12x^3 + 212x^2 + 676x + 201	$6$	[2,2]	$2^{7}\cdot 3\cdot 7^{2}\cdot 19^{5}$	$4$	$59.9859053877$			?	$S_6$ (as 6T16)	$[3]$	$2$	$3$	$2528.1571341$
6.4.47541100800.1	x^6 - 2x^5 - 11x^4 - 12x^3 + 41x^2 + 30x - 27	$6$	[4,1]	$-\,2^{8}\cdot 3\cdot 5^{2}\cdot 19^{5}$	$4$	$60.1882254292$			?	$C_3^2:D_4$ (as 6T13)	$[3]$	$2$	$4$	$8194.77143013$
6.4.47560909592.1	x^6 - 19x^4 - 190x^2 + 608	$6$	[4,1]	$-\,2^{3}\cdot 7^{4}\cdot 19^{5}$	$3$	$60.1924044417$				$A_4\times C_2$ (as 6T6)	$[3]$	$2$	$4$	$8085.12385601$
6.2.51344388864.4	x^6 - 2x^5 + 8x^4 + 26x^3 + 174x^2 + 144x + 30	$6$	[2,2]	$2^{8}\cdot 3^{4}\cdot 19^{5}$	$3$	$60.9652227351$			?	$S_3^2$ (as 6T9)	$[3]$	$2$	$3$	$2268.44822234$
6.2.51344388864.5	x^6 - 2x^5 - 30x^4 + 64x^3 + 250x^2 - 654x + 201	$6$	[2,2]	$2^{8}\cdot 3^{4}\cdot 19^{5}$	$3$	$60.9652227351$			?	$S_6$ (as 6T16)	$[6]$	$2$	$3$	$1376.0797137$
6.2.51978270208.1	x^6 - 2x^5 + 8x^4 - 50x^3 - 149x^2 + 220x + 486	$6$	[2,2]	$2^{9}\cdot 19^{5}\cdot 41$	$3$	$61.0900251243$			?	$S_6$ (as 6T16)	$[3]$	$2$	$3$	$1328.1760895$
6.6.52731004304.1	x^6 - 2x^5 - 30x^4 + 64x^3 + 155x^2 - 198x - 198	$6$	[6,0]	$2^{4}\cdot 11^{3}\cdot 19^{5}$	$3$	$61.2365911879$				$D_{6}$ (as 6T3)	$[3]$	$2$	$5$	$11226.6000977$
6.2.52731004304.1	x^6 - 3x^5 + 37x^4 - 69x^3 + 128x^2 - 94x - 8	$6$	[2,2]	$2^{4}\cdot 11^{3}\cdot 19^{5}$	$3$	$61.2365911879$				$S_4\times C_2$ (as 6T11)	$[12]$	$2$	$3$	$2065.04544679$
6.0.53562973568.1	x^6 - 19x^4 + 171x^2 - 304x + 247	$6$	[0,3]	$-\,2^{7}\cdot 13^{2}\cdot 19^{5}$	$3$	$61.3965705349$			?	$S_6$ (as 6T16)	$[6]$	$2$	$2$	$430.158825028$
6.2.54355325248.1	x^6 - 3x^5 - 20x^4 + 45x^3 - 62x^2 + 39x - 27	$6$	[2,2]	$2^{6}\cdot 7^{3}\cdot 19^{5}$	$3$	$61.5470180832$				$D_{6}$ (as 6T3)	$[12]$	$2$	$3$	$1404.1136062$
6.2.54355325248.4	x^6 - x^5 + 2x^4 + 65x^3 - 267x^2 + 546x - 202	$6$	[2,2]	$2^{6}\cdot 7^{3}\cdot 19^{5}$	$3$	$61.5470180832$			?	$S_4\times C_2$ (as 6T11)	$[2, 6]$	$2$	$3$	$818.69084113$
6.2.54355325248.5	x^6 - x^5 - 17x^4 + 8x^3 + 56x^2 + 128x + 64	$6$	[2,2]	$2^{6}\cdot 7^{3}\cdot 19^{5}$	$3$	$61.5470180832$				$S_3^2$ (as 6T9)	$[3]$	$2$	$3$	$539.922132685$
6.2.54355325248.6	x^6 - 2x^5 + 8x^4 - 88x^3 + 60x^2 - 388x + 1284	$6$	[2,2]	$2^{6}\cdot 7^{3}\cdot 19^{5}$	$3$	$61.5470180832$			?	$\PGL(2,5)$ (as 6T14)	$[3]$	$2$	$3$	$1147.91732454$
6.0.54513795584.1	x^6 + 19x^4 - 38x^3 + 190x^2 - 228x + 190	$6$	[0,3]	$-\,2^{9}\cdot 19^{5}\cdot 43$	$3$	$61.576888047$			?	$S_6$ (as 6T16)	$[6]$	$2$	$2$	$327.644147829$
6.0.58497838875.1	x^6 - 2x^5 + 8x^4 - 69x^3 + 288x^2 - 312x + 201	$6$	[0,3]	$-\,3^{3}\cdot 5^{3}\cdot 7\cdot 19^{5}$	$4$	$62.3050578588$			?	$S_4\times C_2$ (as 6T11)	$[2, 6]$	$2$	$2$	$121.611553458$
6.4.59426376000.1	x^6 - 2x^5 - 30x^4 + 140x^3 - 320x^2 + 144x - 8	$6$	[4,1]	$-\,2^{6}\cdot 3\cdot 5^{3}\cdot 19^{5}$	$4$	$62.4688063776$			?	$C_3^2:D_4$ (as 6T13)	$[3]$	$2$	$4$	$2739.11375419$
6.0.62120371712.1	x^6 - 38x^4 + 361x^2 + 1368	$6$	[0,3]	$-\,2^{9}\cdot 7^{2}\cdot 19^{5}$	$3$	$62.9321169352$				$D_{6}$ (as 6T3)	$[6, 12]$	$2$	$2$	$272.471038135$
6.0.62120371712.2	x^6 - 209x^2 - 228x + 2052	$6$	[0,3]	$-\,2^{9}\cdot 7^{2}\cdot 19^{5}$	$3$	$62.9321169352$				$S_4\times C_2$ (as 6T11)	$[2, 2, 6]$	$2$	$2$	$561.918714263$
6.2.63388134400.1	x^6 - 2x^5 + 27x^4 - 88x^3 + 60x^2 - 3200x - 7418	$6$	[2,2]	$2^{10}\cdot 5^{2}\cdot 19^{5}$	$3$	$63.1443739384$			?	$D_{6}$ (as 6T3)	$[3]$	$2$	$3$	$5401.27263399$
6.2.63388134400.4	x^6 - 19x^4 + 285x^2 - 475	$6$	[2,2]	$2^{10}\cdot 5^{2}\cdot 19^{5}$	$3$	$63.1443739384$				$S_4\times C_2$ (as 6T11)	$[3]$	$2$	$3$	$4090.27517667$
6.2.67944156560.1	x^6 - 2x^5 + 8x^4 + 64x^3 - 92x^2 - 616x - 768	$6$	[2,2]	$2^{4}\cdot 5\cdot 7^{3}\cdot 19^{5}$	$4$	$63.8790847934$			?	$S_6$ (as 6T16)	$[6]$	$2$	$3$	$1928.68679706$
6.4.68459185152.1	x^6 - 38x^4 + 57x^2 - 304x - 76	$6$	[4,1]	$-\,2^{10}\cdot 3^{3}\cdot 19^{5}$	$3$	$63.9595335163$			?	$C_3^2:D_4$ (as 6T13)	$[6]$	$2$	$4$	$3677.95336687$
6.2.80225607600.1	x^6 - 76x^3 - 57x^2 + 570x + 190	$6$	[2,2]	$2^{4}\cdot 3^{4}\cdot 5^{2}\cdot 19^{5}$	$4$	$65.672795373$				$S_6$ (as 6T16)	$[6]$	$2$	$3$	$3916.60552535$
6.2.83434631904.1	x^6 - x^5 + 2x^4 + 27x^3 + 37x^2 + 52x + 26	$6$	[2,2]	$2^{5}\cdot 3^{4}\cdot 13\cdot 19^{5}$	$4$	$66.1034904985$			?	$S_6$ (as 6T16)	$[3]$	$2$	$3$	$3824.54825276$

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