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Label Polynomial Discriminant Galois group Class group Regulator
6.0.54691.1 $ x^{6} - x^{5} - 2 x^{3} + 2 x^{2} + 1 $ $-\,7\cdot 13\cdot 601$ $S_6$ (as 6T16) trivial $0.665616035351$
6.2.70629.1 $ x^{6} - x^{3} + 2 x^{2} + 2 x - 1 $ $3\cdot 13\cdot 1811$ $S_6$ (as 6T16) trivial $1.05154203969$
6.2.70837.1 $ x^{6} + 2 x^{4} - x^{3} - 2 x - 1 $ $13\cdot 5449$ $S_6$ (as 6T16) trivial $0.941646635002$
6.0.70967.1 $ x^{6} - x^{5} + 3 x^{3} - x^{2} - x + 2 $ $-\,13\cdot 53\cdot 103$ $S_6$ (as 6T16) trivial $1.325054343$
6.2.75088.1 $ x^{6} - x^{5} + x^{3} - x - 1 $ $2^{4}\cdot 13\cdot 19^{2}$ $S_4\times C_2$ (as 6T11) trivial $1.01738805374$
6.0.95667.1 $ x^{6} - x^{5} + x^{4} + x + 1 $ $-\,3\cdot 11\cdot 13\cdot 223$ $S_6$ (as 6T16) trivial $1.27737826143$
6.2.100672.1 $ x^{6} - 2 x^{5} - x^{4} + 2 x^{3} + x^{2} - 2 x - 1 $ $2^{6}\cdot 11^{2}\cdot 13$ $S_4\times C_2$ (as 6T11) trivial $1.67725537634$
6.2.123344.1 $ x^{6} - x^{5} + 2 x^{4} - x^{3} - x - 1 $ $2^{4}\cdot 13\cdot 593$ $S_6$ (as 6T16) trivial $1.47208092544$
6.0.176176.1 $ x^{6} - x^{5} + 4 x^{4} - x^{3} + 4 x^{2} - x + 1 $ $-\,2^{4}\cdot 7\cdot 11^{2}\cdot 13$ $S_4\times C_2$ (as 6T11) trivial $1.36797583457$
6.2.190528.1 $ x^{6} - 2 x^{4} + x^{2} - 2 x + 1 $ $2^{6}\cdot 13\cdot 229$ $S_6$ (as 6T16) trivial $2.03810363094$
6.2.199004.1 $ x^{6} - x^{5} - 3 x^{4} + x^{3} + 5 x^{2} - 2 $ $2^{2}\cdot 13\cdot 43\cdot 89$ $S_6$ (as 6T16) trivial $2.77197636704$
6.2.212381.1 $ x^{6} - 2 x^{5} - 4 x^{4} + 7 x^{3} + 4 x^{2} - 2 x - 1 $ $13\cdot 17\cdot 31^{2}$ $S_4\times C_2$ (as 6T11) trivial $2.58185080315$
6.4.214747.1 $ x^{6} - x^{5} - 3 x^{4} + 4 x^{3} - 3 x + 1 $ $-\,13\cdot 16519$ $S_6$ (as 6T16) trivial $2.24299199866$
6.0.221299.1 $ x^{6} - 2 x^{5} + 5 x^{4} - 5 x^{3} + 4 x^{2} - x + 1 $ $-\,13\cdot 29\cdot 587$ $S_6$ (as 6T16) trivial $1.86057669779$
6.2.234793.1 $ x^{6} - 2 x^{5} - x^{3} + 3 x^{2} - x + 1 $ $13\cdot 18061$ $S_6$ (as 6T16) trivial $2.5203493619$
6.2.246857.1 $ x^{6} - 2 x^{5} - x^{4} + 5 x^{3} - x^{2} - 4 x + 1 $ $13\cdot 17\cdot 1117$ $S_6$ (as 6T16) trivial $2.18226443296$
6.0.276848.1 $ x^{6} - x^{5} - x^{4} + 5 x^{3} - 2 x^{2} - 4 x + 4 $ $-\,2^{4}\cdot 11^{3}\cdot 13$ $S_4\times C_2$ (as 6T11) trivial $4.06235489076$
6.0.287339.1 $ x^{6} - 2 x^{5} + 5 x^{4} - 5 x^{3} + 10 x^{2} - x + 3 $ $-\,13\cdot 23\cdot 31^{2}$ $S_4\times C_2$ (as 6T11) trivial $2.58691560134$
6.2.302965.1 $ x^{6} + x^{4} - 2 x^{3} + 5 x^{2} - 5 x + 1 $ $5\cdot 13\cdot 59\cdot 79$ $S_6$ (as 6T16) trivial $3.03778159903$
6.2.303381.1 $ x^{6} - 2 x^{5} + x^{4} - x^{3} + 2 x^{2} + x - 1 $ $3^{2}\cdot 13\cdot 2593$ $S_6$ (as 6T16) trivial $2.41811388842$
6.2.338897.1 $ x^{6} - x^{5} + 3 x^{3} - 5 x^{2} + 5 x - 2 $ $13\cdot 131\cdot 199$ $S_6$ (as 6T16) trivial $3.88843919024$
6.2.353288.1 $ x^{6} - 3 x^{5} + 3 x^{4} + x^{3} - 5 x^{2} + 2 x + 2 $ $2^{3}\cdot 13\cdot 43\cdot 79$ $S_6$ (as 6T16) trivial $3.97086116697$
6.2.362297.1 $ x^{6} - x^{5} - 4 x^{4} + 3 x^{3} + 4 x^{2} - 10 x - 1 $ $13\cdot 29\cdot 31^{2}$ $S_4\times C_2$ (as 6T11) trivial $2.54396356086$
6.0.389831.1 $ x^{6} - x^{5} - x^{4} + 3 x^{3} + x^{2} - x + 1 $ $-\,13\cdot 157\cdot 191$ $S_6$ (as 6T16) trivial $2.47572815753$
6.0.402688.1 $ x^{6} - 2 x^{5} + 6 x^{4} - 2 x^{3} + 2 x^{2} + 4 x + 2 $ $-\,2^{8}\cdot 11^{2}\cdot 13$ $S_4\times C_2$ (as 6T11) trivial $3.43933046822$
6.2.405353.1 $ x^{6} - x^{5} + x^{4} + 3 x^{3} - x^{2} + x + 1 $ $13\cdot 31181$ $S_6$ (as 6T16) trivial $2.81544941759$
6.2.407693.1 $ x^{6} - 3 x^{5} + 4 x^{4} - 2 x^{3} - 3 x^{2} + 3 x + 1 $ $11\cdot 13\cdot 2851$ $S_6$ (as 6T16) trivial $2.6834177089$
6.2.408629.1 $ x^{6} - 2 x^{5} + 4 x^{3} - 2 x^{2} - 3 x + 1 $ $13\cdot 17\cdot 43^{2}$ $S_6$ (as 6T16) trivial $2.73210004733$
6.0.427440.1 $ x^{6} - x^{5} + 2 x^{4} - 3 x^{3} + 3 x + 1 $ $-\,2^{4}\cdot 3\cdot 5\cdot 13\cdot 137$ $S_6$ (as 6T16) trivial $3.2210630831$
6.0.435136.1 $ x^{6} - x^{5} + x^{4} - 2 x^{3} + 2 x^{2} - 2 x + 2 $ $-\,2^{6}\cdot 13\cdot 523$ $S_6$ (as 6T16) trivial $3.65427811379$
6.0.435968.1 $ x^{6} - 3 x^{5} + 5 x^{4} - 4 x^{3} + 2 x^{2} - 2 x + 2 $ $-\,2^{8}\cdot 13\cdot 131$ $S_6$ (as 6T16) trivial $3.7725558054$
6.2.441168.1 $ x^{6} - x^{5} - 2 x^{4} + x^{3} + 2 x^{2} - 3 x + 3 $ $2^{4}\cdot 3\cdot 7\cdot 13\cdot 101$ $S_6$ (as 6T16) trivial $3.87962883926$
6.2.462137.1 $ x^{6} - x^{5} - 2 x^{4} + x^{3} - x^{2} + 3 x + 1 $ $13\cdot 19\cdot 1871$ $S_6$ (as 6T16) trivial $4.39558114741$
6.0.468416.1 $ x^{6} - 2 x^{5} + 4 x^{4} - 4 x^{3} + 4 x^{2} - 2 x + 3 $ $-\,2^{6}\cdot 13\cdot 563$ $S_6$ (as 6T16) trivial $3.67508481297$
6.0.471536.1 $ x^{6} - x^{5} + 3 x^{4} - 3 x^{3} + 4 x^{2} - 4 x + 2 $ $-\,2^{4}\cdot 13\cdot 2267$ $S_6$ (as 6T16) trivial $6.87953114828$
6.2.487513.1 $ x^{6} - x^{5} + x^{4} + 3 x^{3} - 4 x^{2} + 5 x - 1 $ $13\cdot 37501$ $S_6$ (as 6T16) trivial $5.20705758596$
6.0.496704.1 $ x^{6} - 2 x^{5} + 2 x^{4} - x^{2} - 2 x + 3 $ $-\,2^{6}\cdot 3\cdot 13\cdot 199$ $S_6$ (as 6T16) trivial $3.40791191502$
6.0.497783.1 $ x^{6} + 5 x^{4} - x^{3} + 5 x^{2} + 1 $ $-\,11\cdot 13\cdot 59^{2}$ $S_4\times C_2$ (as 6T11) trivial $2.15989242101$
6.2.504517.1 $ x^{6} - x^{5} + x^{4} - 2 x^{3} + 3 x^{2} - 1 $ $13\cdot 197^{2}$ $S_6$ (as 6T16) trivial $2.98596081262$
6.2.508885.1 $ x^{6} - 2 x^{5} + 4 x^{4} - 5 x^{3} + 2 x^{2} - 2 x + 1 $ $5\cdot 13\cdot 7829$ $S_6$ (as 6T16) trivial $3.06844177022$
6.2.513344.1 $ x^{6} - x^{4} - 2 x^{3} - 3 x^{2} + 4 x - 1 $ $2^{6}\cdot 13\cdot 617$ $S_6$ (as 6T16) trivial $5.81459564002$
6.4.519051.1 $ x^{6} - 2 x^{5} + 4 x^{3} - 4 x^{2} - x + 1 $ $-\,3\cdot 13\cdot 13309$ $S_6$ (as 6T16) trivial $4.93683311571$
6.2.519285.1 $ x^{6} - x^{5} + x^{4} + 2 x^{3} - 5 x - 1 $ $3\cdot 5\cdot 13\cdot 2663$ $S_6$ (as 6T16) trivial $4.40071971395$
6.4.533923.1 $ x^{6} - x^{5} - x^{4} - 2 x^{2} + x + 1 $ $-\,13\cdot 67\cdot 613$ $S_6$ (as 6T16) trivial $3.77375245485$
6.0.537199.1 $ x^{6} - 3 x^{5} + 6 x^{4} - x^{3} - 2 x^{2} + 8 x + 8 $ $-\,13\cdot 31^{2}\cdot 43$ $S_4\times C_2$ (as 6T11) trivial $2.5173116516$
6.0.541372.1 $ x^{6} - 2 x^{4} - 3 x^{3} + 2 x^{2} + 4 x + 2 $ $-\,2^{2}\cdot 13\cdot 29\cdot 359$ $S_6$ (as 6T16) trivial $6.99736741576$
6.0.542984.1 $ x^{6} - 3 x^{5} + 6 x^{4} - 6 x^{3} + 7 x^{2} - 4 x + 2 $ $-\,2^{3}\cdot 13\cdot 23\cdot 227$ $S_6$ (as 6T16) trivial $4.52057417762$
6.0.548899.1 $ x^{6} - 3 x^{5} + 5 x^{4} - 4 x^{3} + 2 x^{2} + x + 1 $ $-\,13\cdot 42223$ $S_6$ (as 6T16) trivial $3.8637767043$
6.2.560144.1 $ x^{6} - x^{5} + x^{4} + 2 x^{3} - 4 x^{2} + 4 x - 4 $ $2^{4}\cdot 13\cdot 2693$ $S_6$ (as 6T16) trivial $5.5284997474$
6.2.560625.1 $ x^{6} - 2 x^{5} - x^{4} + 3 x^{3} + 3 x^{2} - 3 x - 2 $ $3\cdot 5^{4}\cdot 13\cdot 23$ $S_6$ (as 6T16) trivial $6.23920644911$
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