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Label Polynomial Discriminant Galois group Class group Regulator
4.0.2889.1 $x^{4} - x^{3} + 3 x^{2} + 2 x + 1$ $3^{3}\cdot 107$ $S_4$ (as 4T5) $[2]$ $1.33243180303$
4.2.18083.1 $x^{4} - x^{3} + 5 x^{2} - 17 x + 3$ $-\,13^{2}\cdot 107$ $D_{4}$ (as 4T3) trivial $10.996558893$
4.0.20544.2 $x^{4} - 2 x^{3} + 2 x^{2} + 6 x + 3$ $2^{6}\cdot 3\cdot 107$ $S_4$ (as 4T5) trivial $7.89036329238$
4.0.20544.4 $x^{4} - 2 x^{3} + 2 x^{2} + 10 x + 7$ $2^{6}\cdot 3\cdot 107$ $S_4$ (as 4T5) trivial $8.68929102534$
4.0.20544.5 $x^{4} - 2 x^{3} - 3 x^{2} - 6 x + 27$ $2^{6}\cdot 3\cdot 107$ $D_{4}$ (as 4T3) trivial $8.20398267926$
4.0.20865.1 $x^{4} + 5 x^{2} - 3 x + 3$ $3\cdot 5\cdot 13\cdot 107$ $S_4$ (as 4T5) trivial $13.6749530258$
4.0.20972.1 $x^{4} - x^{3} + 7 x^{2} + 8 x + 22$ $2^{2}\cdot 7^{2}\cdot 107$ $D_{4}$ (as 4T3) trivial $5.22084933116$
4.0.21293.1 $x^{4} - x^{3} + 6 x^{2} - 7 x + 9$ $107\cdot 199$ $S_4$ (as 4T5) trivial $18.3158277929$
4.2.23219.1 $x^{4} - x^{3} + 2 x^{2} - 9$ $-\,7\cdot 31\cdot 107$ $S_4$ (as 4T5) trivial $6.34579806756$
4.2.23647.1 $x^{4} - x^{3} - 3 x^{2} - 2 x + 7$ $-\,13\cdot 17\cdot 107$ $S_4$ (as 4T5) trivial $8.99421237267$
4.0.27713.1 $x^{4} + 5 x^{2} - 3 x + 5$ $7\cdot 37\cdot 107$ $S_4$ (as 4T5) $[3]$ $3.14852983639$
4.2.31244.1 $x^{4} - x^{3} + 6 x - 2$ $-\,2^{2}\cdot 73\cdot 107$ $S_4$ (as 4T5) trivial $23.4281808575$
4.2.31244.2 $x^{4} - x^{3} - 6 x^{2} - 4 x + 2$ $-\,2^{2}\cdot 73\cdot 107$ $S_4$ (as 4T5) trivial $18.446782761$
4.2.31244.3 $x^{4} - x^{3} + 4 x^{2} + 8 x - 16$ $-\,2^{2}\cdot 73\cdot 107$ $S_4$ (as 4T5) trivial $21.0092406272$
4.2.32635.1 $x^{4} - x^{3} - 2 x^{2} + 6 x + 1$ $-\,5\cdot 61\cdot 107$ $S_4$ (as 4T5) trivial $7.59983487949$
4.2.35524.1 $x^{4} - x^{3} - x^{2} + 7 x - 10$ $-\,2^{2}\cdot 83\cdot 107$ $S_4$ (as 4T5) trivial $31.881280419$
4.0.38841.1 $x^{4} - x^{2} - 11 x + 14$ $3\cdot 11^{2}\cdot 107$ $S_4$ (as 4T5) $[2]$ $6.50631032194$
4.2.40767.1 $x^{4} - 2 x^{3} + x^{2} - 3 x - 4$ $-\,3\cdot 107\cdot 127$ $S_4$ (as 4T5) trivial $14.8134724323$
4.2.42800.2 $x^{4} - 2 x^{3} - 2 x^{2} - 2 x - 19$ $-\,2^{4}\cdot 5^{2}\cdot 107$ $S_4$ (as 4T5) $[2]$ $11.9938649553$
4.4.46224.1 $x^{4} - 2 x^{3} - 15 x^{2} + 16 x + 16$ $2^{4}\cdot 3^{3}\cdot 107$ $D_{4}$ (as 4T3) trivial $33.4642356786$
4.2.52216.1 $x^{4} - x^{3} - 7 x^{2} + 18 x - 18$ $-\,2^{3}\cdot 61\cdot 107$ $S_4$ (as 4T5) trivial $25.6353600548$
4.4.54249.1 $x^{4} - x^{3} - 16 x^{2} - 13 x + 13$ $3\cdot 13^{2}\cdot 107$ $D_{4}$ (as 4T3) trivial $18.1594453631$
4.2.56496.1 $x^{4} - 8 x^{2} - 6 x + 6$ $-\,2^{4}\cdot 3\cdot 11\cdot 107$ $S_4$ (as 4T5) trivial $21.3093175866$
4.2.57459.1 $x^{4} - 2 x^{3} - 4 x^{2} - x - 3$ $-\,3\cdot 107\cdot 179$ $S_4$ (as 4T5) trivial $19.6529487775$
4.0.57673.2 $x^{4} - 2 x^{3} - 5 x^{2} + 6 x + 72$ $7^{2}\cdot 11\cdot 107$ $D_{4}$ (as 4T3) trivial $50.8647925716$
4.0.57780.1 $x^{4} - 2 x^{3} - 14 x + 40$ $2^{2}\cdot 3^{3}\cdot 5\cdot 107$ $S_4$ (as 4T5) $[2]$ $14.9803030419$
4.2.61632.1 $x^{4} - 2 x^{2} - 107$ $-\,2^{6}\cdot 3^{2}\cdot 107$ $D_{4}$ (as 4T3) trivial $25.2485891909$
4.2.64307.1 $x^{4} - x^{3} + 8 x^{2} + 13 x - 29$ $-\,107\cdot 601$ $S_4$ (as 4T5) trivial $30.255603745$
4.2.65484.1 $x^{4} - x^{3} - 2 x^{2} + 12 x - 12$ $-\,2^{2}\cdot 3^{2}\cdot 17\cdot 107$ $S_4$ (as 4T5) trivial $45.1505774475$
4.0.72225.1 $x^{4} - 2 x^{3} - 3 x^{2} + 4 x + 19$ $3^{3}\cdot 5^{2}\cdot 107$ $D_{4}$ (as 4T3) $[2]$ $7.04606073591$
4.0.72332.1 $x^{4} - x^{3} - 9 x^{2} + 4 x + 28$ $2^{2}\cdot 13^{2}\cdot 107$ $S_4$ (as 4T5) $[3]$ $3.72699610793$
4.0.75328.1 $x^{4} - 2 x^{3} - 9 x^{2} - 8 x + 86$ $2^{6}\cdot 11\cdot 107$ $D_{4}$ (as 4T3) $[3]$ $6.01577211391$
4.0.76184.1 $x^{4} - x^{3} - 2 x^{2} - 13 x + 27$ $2^{3}\cdot 89\cdot 107$ $S_4$ (as 4T5) $[9]$ $2.80644886685$
4.0.81320.1 $x^{4} - x^{3} + 12 x^{2} - 15 x + 5$ $2^{3}\cdot 5\cdot 19\cdot 107$ $S_4$ (as 4T5) trivial $12.714244382$
4.0.82176.1 $x^{4} - 16 x^{2} - 8 x + 89$ $2^{8}\cdot 3\cdot 107$ $D_{4}$ (as 4T3) $[2]$ $6.52122700085$
4.0.84316.1 $x^{4} - x^{3} - 6 x^{2} - 9 x + 37$ $2^{2}\cdot 107\cdot 197$ $S_4$ (as 4T5) trivial $22.9345975355$
4.2.87419.1 $x^{4} - 2 x^{3} + 9 x^{2} - 4 x - 9$ $-\,19\cdot 43\cdot 107$ $S_4$ (as 4T5) trivial $13.9640962598$
4.2.89131.2 $x^{4} - 6 x^{2} - 13 x - 10$ $-\,7^{2}\cdot 17\cdot 107$ $S_4$ (as 4T5) trivial $41.7363853403$
4.2.89131.3 $x^{4} - 12 x^{2} - 27 x - 19$ $-\,7^{2}\cdot 17\cdot 107$ $S_4$ (as 4T5) trivial $20.9837021557$
4.2.89559.1 $x^{4} - 2 x^{3} + 3 x^{2} + 5 x - 16$ $-\,3^{3}\cdot 31\cdot 107$ $S_4$ (as 4T5) trivial $32.4116074569$
4.2.89987.1 $x^{4} - 2 x^{3} + x - 7$ $-\,29^{2}\cdot 107$ $D_{4}$ (as 4T3) trivial $13.0390238032$
4.0.92448.1 $x^{4} - 3 x^{2} - 6 x + 18$ $2^{5}\cdot 3^{3}\cdot 107$ $S_4$ (as 4T5) trivial $46.0894463751$
4.2.92555.1 $x^{4} - x^{3} + 11 x^{2} - 2 x - 32$ $-\,5\cdot 107\cdot 173$ $S_4$ (as 4T5) trivial $38.9593418801$
4.2.100580.1 $x^{4} - x^{3} - 7 x^{2} + 8 x - 32$ $-\,2^{2}\cdot 5\cdot 47\cdot 107$ $S_4$ (as 4T5) trivial $23.6244141594$
4.0.101329.1 $x^{4} + 9 x^{2} - 12 x + 13$ $107\cdot 947$ $S_4$ (as 4T5) $[4]$ $3.24897080143$
4.4.101329.1 $x^{4} - x^{3} - 12 x^{2} + 11 x + 5$ $107\cdot 947$ $S_4$ (as 4T5) trivial $24.5920065606$
4.0.102292.1 $x^{4} - x^{3} - x^{2} + 9 x + 26$ $2^{2}\cdot 107\cdot 239$ $S_4$ (as 4T5) trivial $37.4940711248$
4.0.104325.1 $x^{4} - x^{3} + 5 x^{2} - x + 19$ $3\cdot 5^{2}\cdot 13\cdot 107$ $S_4$ (as 4T5) trivial $12.5892739154$
4.2.106572.1 $x^{4} - x^{3} - 2 x^{2} - 12 x + 6$ $-\,2^{2}\cdot 3\cdot 83\cdot 107$ $S_4$ (as 4T5) trivial $41.7762712242$
4.2.107000.1 $x^{4} - x^{3} - 4 x^{2} + 14 x - 4$ $-\,2^{3}\cdot 5^{3}\cdot 107$ $S_4$ (as 4T5) $[2]$ $39.1740827593$
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