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Label Polynomial Discriminant Galois group Class group Regulator
6.6.300125.1 x6 - x5 - 7x4 + 2x3 + 7x2 - 2x - 1 $5^{3}\cdot 7^{4}$ $C_6$ (as 6T1) trivial $3.27756260865$
6.6.371293.1 x6 - x5 - 5x4 + 4x3 + 6x2 - 3x - 1 $13^{5}$ $C_6$ (as 6T1) trivial $3.77450098008$
6.6.434581.1 x6 - 2x5 - 4x4 + 5x3 + 4x2 - 2x - 1 $7^{4}\cdot 181$ $A_4\times C_2$ (as 6T6) trivial $4.18794361412$
6.6.453789.1 x6 - x5 - 6x4 + 6x3 + 8x2 - 8x + 1 $3^{3}\cdot 7^{5}$ $C_6$ (as 6T1) trivial $4.39996237517$
6.6.485125.1 x6 - 2x5 - 4x4 + 8x3 + 2x2 - 5x + 1 $5^{3}\cdot 3881$ $C_3^2:D_4$ (as 6T13) trivial $4.52548380861$
6.6.592661.1 x6 - x5 - 5x4 + 4x3 + 5x2 - 2x - 1 $592661$ $S_6$ (as 6T16) trivial $5.23352484306$
6.6.703493.1 x6 - 2x5 - 5x4 + 11x3 + 2x2 - 9x + 1 $7^{4}\cdot 293$ $A_4\times C_2$ (as 6T6) trivial $5.70730462791$
6.6.722000.1 x6 - x5 - 6x4 + 7x3 + 4x2 - 5x + 1 $2^{4}\cdot 5^{3}\cdot 19^{2}$ $S_3\times C_3$ (as 6T5) trivial $6.412993699$
6.6.810448.1 x6 - 3x5 - 2x4 + 9x3 - 5x + 1 $2^{4}\cdot 37^{3}$ $S_3$ (as 6T2) trivial $6.88569152204$
6.6.820125.1 x6 - 9x4 - 4x3 + 9x2 + 3x - 1 $3^{8}\cdot 5^{3}$ $C_6$ (as 6T1) trivial $6.28127608708$
6.6.905177.1 x6 - x5 - 7x4 + 9x3 + 7x2 - 9x - 1 $7^{4}\cdot 13\cdot 29$ $A_4\times C_2$ (as 6T6) trivial $6.90930178248$
6.6.966125.1 x6 - x5 - 6x4 + 4x3 + 8x2 - 1 $5^{3}\cdot 59\cdot 131$ $C_3^2:D_4$ (as 6T13) trivial $7.42490450656$
6.6.980125.1 x6 - x5 - 6x4 + 6x3 + 7x2 - 5x - 1 $5^{3}\cdot 7841$ $C_3^2:D_4$ (as 6T13) trivial $7.116083735$
6.6.1075648.1 x6 - 7x4 + 14x2 - 7 $2^{6}\cdot 7^{5}$ $C_6$ (as 6T1) trivial $7.70329572133$
6.6.1081856.1 x6 - 6x4 - 2x3 + 7x2 + 2x - 1 $2^{9}\cdot 2113$ $C_3^2:D_4$ (as 6T13) trivial $7.75742497148$
6.6.1134389.1 x6 - 2x5 - 4x4 + 6x3 + 4x2 - 3x - 1 $1134389$ $S_6$ (as 6T16) trivial $7.81522393133$
6.6.1202933.1 x6 - 6x4 - 2x3 + 6x2 + x - 1 $79\cdot 15227$ $S_6$ (as 6T16) trivial $8.74066379511$
6.6.1229312.1 x6 - 10x4 + 24x2 - 8 $2^{9}\cdot 7^{4}$ $C_6$ (as 6T1) trivial $8.7234383498$
6.6.1241125.1 x6 - 7x4 - 2x3 + 11x2 + 7x + 1 $5^{3}\cdot 9929$ $C_3^2:D_4$ (as 6T13) trivial $8.83717312888$
6.6.1259712.1 x6 - 6x4 + 9x2 - 3 $2^{6}\cdot 3^{9}$ $C_6$ (as 6T1) trivial $10.1773563373$
6.6.1279733.1 x6 - 2x5 - 6x4 + 10x3 + 10x2 - 11x - 1 $7^{4}\cdot 13\cdot 41$ $A_4\times C_2$ (as 6T6) trivial $8.72407995991$
6.6.1292517.1 x6 - 6x4 - x3 + 6x2 - 1 $3^{8}\cdot 197$ $A_4\times C_2$ (as 6T6) trivial $8.26722390741$
6.6.1312625.1 x6 - x5 - 7x4 + 7x3 + 12x2 - 12x - 1 $5^{3}\cdot 10501$ $C_3^2:D_4$ (as 6T13) trivial $9.40484434468$
6.6.1387029.1 x6 - 3x5 - 2x4 + 9x3 - x2 - 4x + 1 $3\cdot 7\cdot 257^{2}$ $S_4\times C_2$ (as 6T11) trivial $10.9212586359$
6.6.1397493.1 x6 - 3x5 - 3x4 + 10x3 + 3x2 - 6x + 1 $3^{9}\cdot 71$ $A_4\times C_2$ (as 6T6) trivial $10.6270681396$
6.6.1416125.1 x6 - 2x5 - 5x4 + 9x3 + 6x2 - 9x + 1 $5^{3}\cdot 11329$ $C_3^2:D_4$ (as 6T13) trivial $9.38458097367$
6.6.1528713.1 x6 - 3x5 - 3x4 + 7x3 + 3x2 - 3x - 1 $3^{8}\cdot 233$ $A_4\times C_2$ (as 6T6) trivial $9.67459060125$
6.6.1541581.1 x6 - x5 - 6x4 + 2x3 + 9x2 + x - 1 $1541581$ $S_6$ (as 6T16) trivial $9.99612092275$
6.6.1683101.1 x6 - 3x5 - 4x4 + 13x3 + 7x2 - 14x - 7 $7^{4}\cdot 701$ $A_4\times C_2$ (as 6T6) trivial $10.3750728693$
6.6.1767625.1 x6 - 7x4 - x3 + 11x2 + x - 1 $5^{3}\cdot 79\cdot 179$ $C_3^2:D_4$ (as 6T13) trivial $11.518079481$
6.6.1868969.1 x6 - 6x4 - x3 + 8x2 + x - 2 $107\cdot 17467$ $S_6$ (as 6T16) trivial $16.3209539925$
6.6.1922000.1 x6 - x5 - 8x4 - x3 + 12x2 + 7x + 1 $2^{4}\cdot 5^{3}\cdot 31^{2}$ $S_3\times C_3$ (as 6T5) trivial $12.1140316048$
6.6.1995125.1 x6 - 2x5 - 6x4 + 6x3 + 12x2 + x - 1 $5^{3}\cdot 11\cdot 1451$ $C_3^2:D_4$ (as 6T13) trivial $10.6947286971$
6.6.1997632.1 x6 - 8x4 + 19x2 - 13 $2^{6}\cdot 7^{4}\cdot 13$ $A_4\times C_2$ (as 6T6) trivial $10.8499143067$
6.6.2115281.1 x6 - x5 - 8x4 + 5x3 + 16x2 - 4x - 8 $7^{4}\cdot 881$ $A_4\times C_2$ (as 6T6) trivial $11.5568148167$
6.6.2235125.1 x6 - x5 - 7x4 + 2x3 + 12x2 + 3x - 1 $5^{3}\cdot 17881$ $C_3^2:D_4$ (as 6T13) trivial $12.0760758381$
6.6.2249737.1 x6 - 2x5 - 7x4 + 9x3 + 14x2 - 8x - 8 $7^{4}\cdot 937$ $A_4\times C_2$ (as 6T6) trivial $11.9821781995$
6.6.2286997.1 x6 - 7x4 + 13x2 - x - 5 $349\cdot 6553$ $S_6$ (as 6T16) trivial $15.514812154$
6.6.2323397.1 x6 - 6x4 + 8x2 - x - 1 $2323397$ $S_6$ (as 6T16) trivial $14.7668367318$
6.6.2415125.1 x6 - x5 - 8x4 + 5x3 + 19x2 - 4x - 11 $5^{3}\cdot 139^{2}$ $S_3\times C_3$ (as 6T5) trivial $11.9539682677$
6.6.2460365.1 x6 - x5 - 6x4 + 6x3 + 7x2 - 7x + 1 $5\cdot 263\cdot 1871$ $S_6$ (as 6T16) trivial $14.1458776568$
6.6.2495261.1 x6 - x5 - 6x4 + 6x3 + 6x2 - 6x + 1 $199\cdot 12539$ $S_6$ (as 6T16) trivial $15.4998566487$
6.6.2501557.1 x6 - x5 - 6x4 + 3x3 + 9x2 - 2x - 3 $769\cdot 3253$ $S_6$ (as 6T16) trivial $15.344757047$
6.6.2540864.1 x6 - 8x4 - 4x3 + 12x2 + 10x + 2 $2^{6}\cdot 29\cdot 37^{2}$ $S_4\times C_2$ (as 6T11) trivial $19.7404765035$
6.6.2565429.1 x6 - 6x4 - x3 + 8x2 + 2x - 1 $3\cdot 855143$ $S_6$ (as 6T16) trivial $16.8022557829$
6.6.2591125.1 x6 - x5 - 7x4 + 6x3 + 10x2 - 9x + 1 $5^{3}\cdot 19\cdot 1091$ $C_3^2:D_4$ (as 6T13) trivial $13.5329996899$
6.6.2623625.1 x6 - x5 - 7x4 + 5x3 + 13x2 - 6x - 4 $5^{3}\cdot 139\cdot 151$ $C_3^2:D_4$ (as 6T13) trivial $15.387644903$
6.6.2624293.1 x6 - x5 - 9x4 + 8x3 + 21x2 - 14x - 7 $7^{4}\cdot 1093$ $A_4\times C_2$ (as 6T6) trivial $13.467860582$
6.6.2661761.1 x6 - x5 - 6x4 + 3x3 + 9x2 - x - 1 $41\cdot 64921$ $S_6$ (as 6T16) trivial $21.0611553343$
6.6.2666432.1 x6 - 2x5 - 6x4 + 4x3 + 7x2 - 2x - 1 $2^{6}\cdot 61\cdot 683$ $S_6$ (as 6T16) trivial $13.0212252837$
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