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Label Polynomial Discriminant Galois group Class group Regulator
4.2.26624.1 $x^{4} - 4 x^{2} - 8 x - 6$ $-\,2^{11}\cdot 13$ $S_4$ (as 4T5) $[2]$ $6.48087766001$
4.0.55296.2 $x^{4} + 24$ $2^{11}\cdot 3^{3}$ $D_{4}$ (as 4T3) $[2]$ $10.7298282002$
4.4.153600.1 $x^{4} - 16 x^{2} + 54$ $2^{11}\cdot 3\cdot 5^{2}$ $D_{4}$ (as 4T3) $[2]$ $32.8493916635$
4.0.153600.2 $x^{4} + 16 x^{2} + 54$ $2^{11}\cdot 3\cdot 5^{2}$ $D_{4}$ (as 4T3) $[4]$ $3.63689291846$
4.0.202752.1 $x^{4} - 8 x^{2} + 22$ $2^{11}\cdot 3^{2}\cdot 11$ $D_{4}$ (as 4T3) $[2]$ $17.6025819582$
4.0.202752.2 $x^{4} + 8 x^{2} + 22$ $2^{11}\cdot 3^{2}\cdot 11$ $D_{4}$ (as 4T3) $[2]$ $16.3983133185$
4.2.256000.1 $x^{4} - 10$ $-\,2^{11}\cdot 5^{3}$ $D_{4}$ (as 4T3) $[2]$ $25.2535425774$
4.0.333824.1 $x^{4} + 4 x^{2} - 8 x + 10$ $2^{11}\cdot 163$ $S_4$ (as 4T5) $[2]$ $7.278443458$
4.2.436224.2 $x^{4} - 16 x^{2} - 32 x - 40$ $-\,2^{11}\cdot 3\cdot 71$ $S_4$ (as 4T5) $[2]$ $28.1013906883$
4.0.497664.3 $x^{4} + 12 x^{2} - 16 x + 60$ $2^{11}\cdot 3^{5}$ $S_4$ (as 4T5) $[2]$ $26.2939272054$
4.2.600064.1 $x^{4} + 8 x^{2} - 16 x - 106$ $-\,2^{11}\cdot 293$ $S_4$ (as 4T5) $[2]$ $43.0492176895$
4.2.616448.1 $x^{4} - 16 x^{2} - 16 x + 22$ $-\,2^{11}\cdot 7\cdot 43$ $S_4$ (as 4T5) $[2]$ $27.3757047266$
4.2.632832.1 $x^{4} + 4 x^{2} - 24 x + 10$ $-\,2^{11}\cdot 3\cdot 103$ $S_4$ (as 4T5) $[2]$ $39.8454907577$
4.2.632832.2 $x^{4} - 28 x^{2} - 72 x - 54$ $-\,2^{11}\cdot 3\cdot 103$ $S_4$ (as 4T5) $[2]$ $61.738978435$
4.0.645120.4 $x^{4} - 32 x^{2} + 280$ $2^{11}\cdot 3^{2}\cdot 5\cdot 7$ $D_{4}$ (as 4T3) $[4]$ $16.6048268312$
4.0.645120.5 $x^{4} + 32 x^{2} + 280$ $2^{11}\cdot 3^{2}\cdot 5\cdot 7$ $D_{4}$ (as 4T3) $[4]$ $9.49192997306$
4.0.645120.7 $x^{4} + 16 x^{2} + 280$ $2^{11}\cdot 3^{2}\cdot 5\cdot 7$ $D_{4}$ (as 4T3) $[4]$ $24.151992891$
4.0.645120.8 $x^{4} - 16 x^{2} + 280$ $2^{11}\cdot 3^{2}\cdot 5\cdot 7$ $D_{4}$ (as 4T3) $[4]$ $13.0102660565$
4.2.665600.3 $x^{4} + 8 x^{2} - 234$ $-\,2^{11}\cdot 5^{2}\cdot 13$ $D_{4}$ (as 4T3) $[4]$ $45.4879083883$
4.2.665600.4 $x^{4} - 8 x^{2} - 234$ $-\,2^{11}\cdot 5^{2}\cdot 13$ $D_{4}$ (as 4T3) $[4]$ $12.4450239342$
4.2.698368.1 $x^{4} - 32 x - 40$ $-\,2^{11}\cdot 11\cdot 31$ $S_4$ (as 4T5) $[2]$ $32.7736578711$
4.2.698368.2 $x^{4} + 12 x^{2} - 8 x - 102$ $-\,2^{11}\cdot 11\cdot 31$ $S_4$ (as 4T5) $[2]$ $46.0026888763$
4.2.731136.2 $x^{4} + 12 x^{2} - 56 x - 6$ $-\,2^{11}\cdot 3\cdot 7\cdot 17$ $S_4$ (as 4T5) $[2]$ $82.130593505$
4.2.780288.2 $x^{4} - 16 x^{2} - 64 x + 86$ $-\,2^{11}\cdot 3\cdot 127$ $S_4$ (as 4T5) $[2]$ $47.517057301$
4.2.829440.2 $x^{4} - 16 x - 42$ $-\,2^{11}\cdot 3^{4}\cdot 5$ $S_4$ (as 4T5) $[2]$ $53.5045959844$
4.2.845824.2 $x^{4} - 20 x^{2} - 48 x - 4$ $-\,2^{11}\cdot 7\cdot 59$ $S_4$ (as 4T5) $[2]$ $29.5778843971$
4.0.956416.1 $x^{4} - 16 x + 22$ $2^{11}\cdot 467$ $S_4$ (as 4T5) $[4]$ $16.7682134713$
4.4.956416.1 $x^{4} - 12 x^{2} - 8 x + 10$ $2^{11}\cdot 467$ $S_4$ (as 4T5) $[2]$ $61.2591809477$
4.2.976896.2 $x^{4} - 8 x^{2} - 96 x - 74$ $-\,2^{11}\cdot 3^{2}\cdot 53$ $S_4$ (as 4T5) $[2]$ $48.3049456073$
4.2.993280.2 $x^{4} - 28 x^{2} - 8 x + 170$ $-\,2^{11}\cdot 5\cdot 97$ $S_4$ (as 4T5) $[2]$ $77.136346623$
4.2.1042432.2 $x^{4} - 20 x^{2} - 16 x + 124$ $-\,2^{11}\cdot 509$ $S_4$ (as 4T5) $[2]$ $24.6281697241$
4.0.1087488.1 $x^{4} - 16 x^{2} + 118$ $2^{11}\cdot 3^{2}\cdot 59$ $D_{4}$ (as 4T3) $[6]$ $8.89561512129$
4.0.1087488.2 $x^{4} + 16 x^{2} + 118$ $2^{11}\cdot 3^{2}\cdot 59$ $D_{4}$ (as 4T3) $[2]$ $55.5519283993$
4.0.1382400.3 $x^{4} + 150$ $2^{11}\cdot 3^{3}\cdot 5^{2}$ $D_{4}$ (as 4T3) $[4, 4]$ $5.27798448242$
4.0.1513472.4 $x^{4} - 80 x + 182$ $2^{11}\cdot 739$ $S_4$ (as 4T5) $[2]$ $20.8758533751$
4.2.1517568.2 $x^{4} - 20 x^{2} - 48 x + 124$ $-\,2^{11}\cdot 3\cdot 13\cdot 19$ $S_4$ (as 4T5) $[2]$ $56.6330105884$
4.0.1529856.3 $x^{4} - 16 x^{2} + 664$ $2^{11}\cdot 3^{2}\cdot 83$ $D_{4}$ (as 4T3) $[2]$ $27.3147872837$
4.0.1529856.4 $x^{4} + 16 x^{2} + 664$ $2^{11}\cdot 3^{2}\cdot 83$ $D_{4}$ (as 4T3) $[6]$ $11.4641304041$
4.0.1693696.2 $x^{4} + 8 x^{2} - 48 x + 54$ $2^{11}\cdot 827$ $S_4$ (as 4T5) $[10]$ $21.6267551102$
4.2.1697792.2 $x^{4} - 20 x^{2} - 24 x + 90$ $-\,2^{11}\cdot 829$ $S_4$ (as 4T5) $[2]$ $54.9962704738$
4.2.1730560.3 $x^{4} - 8 x^{2} - 10$ $-\,2^{11}\cdot 5\cdot 13^{2}$ $D_{4}$ (as 4T3) $[4]$ $13.6467064243$
4.2.1730560.4 $x^{4} + 8 x^{2} - 10$ $-\,2^{11}\cdot 5\cdot 13^{2}$ $D_{4}$ (as 4T3) $[12]$ $8.66354803416$
4.2.1894400.3 $x^{4} - 8 x^{2} - 74$ $-\,2^{11}\cdot 5^{2}\cdot 37$ $D_{4}$ (as 4T3) $[2]$ $174.266907127$
4.2.1894400.4 $x^{4} + 8 x^{2} - 74$ $-\,2^{11}\cdot 5^{2}\cdot 37$ $D_{4}$ (as 4T3) $[2]$ $52.1983899983$
4.2.1959936.1 $x^{4} - 16 x^{2} - 32 x - 10$ $-\,2^{11}\cdot 3\cdot 11\cdot 29$ $S_4$ (as 4T5) $[2]$ $66.0242505739$
4.0.1972224.1 $x^{4} - 16 x^{2} + 214$ $2^{11}\cdot 3^{2}\cdot 107$ $D_{4}$ (as 4T3) $[2]$ $16.5173595052$
4.0.1972224.2 $x^{4} + 16 x^{2} + 214$ $2^{11}\cdot 3^{2}\cdot 107$ $D_{4}$ (as 4T3) $[2]$ $73.1020663436$
4.2.2025472.2 $x^{4} - 12 x^{2} - 24 x - 22$ $-\,2^{11}\cdot 23\cdot 43$ $S_4$ (as 4T5) $[2, 2]$ $38.8649514655$
4.2.2025472.3 $x^{4} - 16 x - 10$ $-\,2^{11}\cdot 23\cdot 43$ $S_4$ (as 4T5) $[2, 2]$ $31.1591900686$
4.2.2041856.1 $x^{4} - 12 x^{2} - 72 x - 86$ $-\,2^{11}\cdot 997$ $S_4$ (as 4T5) $[2]$ $55.7354697086$
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