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Label Polynomial Discriminant Galois group Class group Regulator
4.0.117.1 x4x3x2+x+1x^{4} - x^{3} - x^{2} + x + 1 32133^{2}\cdot 13 D4D_{4} (as 4T3) trivial 0.5435350724980.543535072498
4.0.125.1 x4x3+x2x+1x^{4} - x^{3} + x^{2} - x + 1 535^{3} C4C_4 (as 4T1) trivial 0.9624236501190.962423650119
4.0.144.1 x4x2+1x^{4} - x^{2} + 1 24322^{4}\cdot 3^{2} C22C_2^2 (as 4T2) trivial 1.316957896921.31695789692
4.0.189.1 x4x3+2x+1x^{4} - x^{3} + 2 x + 1 3373^{3}\cdot 7 D4D_{4} (as 4T3) trivial 0.8625546276620.862554627662
4.0.225.1 x4x3+2x2+x+1x^{4} - x^{3} + 2 x^{2} + x + 1 32523^{2}\cdot 5^{2} C22C_2^2 (as 4T2) trivial 0.9624236501190.962423650119
4.0.229.1 x4x+1x^{4} - x + 1 229229 S4S_4 (as 4T5) trivial 0.3373778035720.337377803572
4.0.256.1 x4+1x^{4} + 1 282^{8} C22C_2^2 (as 4T2) trivial 1.762747174041.76274717404
4.0.257.1 x4+x2x+1x^{4} + x^{2} - x + 1 257257 S4S_4 (as 4T5) trivial 0.4421378287320.442137828732
4.0.272.1 x4+x22x+1x^{4} + x^{2} - 2 x + 1 24172^{4}\cdot 17 D4D_{4} (as 4T3) trivial 0.7328576759740.732857675974
4.2.275.1 x4x3+2x1x^{4} - x^{3} + 2 x - 1 5211-\,5^{2}\cdot 11 D4D_{4} (as 4T3) trivial 0.3691843735750.369184373575
4.2.283.1 x4x1x^{4} - x - 1 283-\,283 S4S_4 (as 4T5) trivial 0.378199332460.37819933246
4.0.320.1 x42x3+2x^{4} - 2 x^{3} + 2 2652^{6}\cdot 5 D4D_{4} (as 4T3) trivial 1.061275061911.06127506191
4.2.331.1 x4x3+x2+x1x^{4} - x^{3} + x^{2} + x - 1 331-\,331 S4S_4 (as 4T5) trivial 0.4322030911850.432203091185
4.0.333.1 x4x32x2+3x^{4} - x^{3} - 2 x^{2} + 3 32373^{2}\cdot 37 D4D_{4} (as 4T3) trivial 1.460781613111.46078161311
4.0.392.1 x4x3+x+1x^{4} - x^{3} + x + 1 23722^{3}\cdot 7^{2} D4D_{4} (as 4T3) trivial 0.6329743192010.632974319201
4.2.400.1 x4x21x^{4} - x^{2} - 1 2452-\,2^{4}\cdot 5^{2} D4D_{4} (as 4T3) trivial 0.510698109430.51069810943
4.0.400.1 x4+3x2+1x^{4} + 3 x^{2} + 1 24522^{4}\cdot 5^{2} C22C_2^2 (as 4T2) trivial 0.9624236501190.962423650119
4.0.432.1 x43x2+3x^{4} - 3 x^{2} + 3 24332^{4}\cdot 3^{3} D4D_{4} (as 4T3) trivial 1.662885891061.66288589106
4.0.441.1 x4x3x22x+4x^{4} - x^{3} - x^{2} - 2 x + 4 32723^{2}\cdot 7^{2} C22C_2^2 (as 4T2) trivial 1.566799236971.56679923697
4.2.448.1 x42x3+x22x+1x^{4} - 2 x^{3} + x^{2} - 2 x + 1 267-\,2^{6}\cdot 7 D4D_{4} (as 4T3) trivial 0.5578868462050.557886846205
4.2.475.1 x42x3+2x2x1x^{4} - 2 x^{3} + 2 x^{2} - x - 1 5219-\,5^{2}\cdot 19 D4D_{4} (as 4T3) trivial 0.576931477410.57693147741
4.2.491.1 x4x3x2+3x1x^{4} - x^{3} - x^{2} + 3 x - 1 491-\,491 S4S_4 (as 4T5) trivial 0.633557734880.63355773488
4.2.507.1 x4x3x2x+1x^{4} - x^{3} - x^{2} - x + 1 3132-\,3\cdot 13^{2} D4D_{4} (as 4T3) trivial 0.6493957119260.649395711926
4.0.512.1 x42x2+2x^{4} - 2 x^{2} + 2 292^{9} D4D_{4} (as 4T3) trivial 1.528570919481.52857091948
4.0.513.1 x4x33x2+2x+4x^{4} - x^{3} - 3 x^{2} + 2 x + 4 33193^{3}\cdot 19 D4D_{4} (as 4T3) trivial 1.964978375111.96497837511
4.0.549.1 x42x32x2+3x+3x^{4} - 2 x^{3} - 2 x^{2} + 3 x + 3 32613^{2}\cdot 61 D4D_{4} (as 4T3) trivial 2.114376192512.11437619251
4.2.563.1 x4x3+x2x1x^{4} - x^{3} + x^{2} - x - 1 563-\,563 S4S_4 (as 4T5) trivial 0.7042671959830.704267195983
4.0.576.1 x42x2+4x^{4} - 2 x^{2} + 4 26322^{6}\cdot 3^{2} C22C_2^2 (as 4T2) trivial 2.292431669562.29243166956
4.0.576.2 x4+2x2+4x^{4} + 2 x^{2} + 4 26322^{6}\cdot 3^{2} C22C_2^2 (as 4T2) trivial 1.762747174041.76274717404
4.0.592.1 x4+2x22x+1x^{4} + 2 x^{2} - 2 x + 1 24372^{4}\cdot 37 S4S_4 (as 4T5) trivial 0.9178186079570.917818607957
4.0.605.1 x4x3+x2+x+1x^{4} - x^{3} + x^{2} + x + 1 51125\cdot 11^{2} D4D_{4} (as 4T3) trivial 0.7671972182510.767197218251
4.2.643.1 x4x32x+1x^{4} - x^{3} - 2 x + 1 643-\,643 S4S_4 (as 4T5) trivial 0.7201844678680.720184467868
4.0.656.1 x42x3x2+2x+2x^{4} - 2 x^{3} - x^{2} + 2 x + 2 24412^{4}\cdot 41 D4D_{4} (as 4T3) trivial 2.426106652122.42610665212
4.0.657.1 x4x3+5x22x+4x^{4} - x^{3} + 5 x^{2} - 2 x + 4 32733^{2}\cdot 73 D4D_{4} (as 4T3) trivial 2.03354565472.0335456547
4.2.688.1 x42x1x^{4} - 2 x - 1 2443-\,2^{4}\cdot 43 S4S_4 (as 4T5) trivial 0.9987432118530.998743211853
4.0.697.1 x4x3+2x2x+2x^{4} - x^{3} + 2 x^{2} - x + 2 174117\cdot 41 S4S_4 (as 4T5) trivial 1.033241851231.03324185123
4.4.725.1 x4x33x2+x+1x^{4} - x^{3} - 3 x^{2} + x + 1 52295^{2}\cdot 29 D4D_{4} (as 4T3) trivial 0.8250688479350.825068847935
4.2.731.1 x4x3+2x21x^{4} - x^{3} + 2 x^{2} - 1 1743-\,17\cdot 43 S4S_4 (as 4T5) trivial 0.8668300736870.866830073687
4.2.751.1 x42x3+x2x1x^{4} - 2 x^{3} + x^{2} - x - 1 751-\,751 S4S_4 (as 4T5) trivial 1.067940596261.06794059626
4.0.761.1 x4x3+x2+2x+1x^{4} - x^{3} + x^{2} + 2 x + 1 761761 S4S_4 (as 4T5) trivial 0.9906995087680.990699508768
4.2.775.1 x4x33x1x^{4} - x^{3} - 3 x - 1 5231-\,5^{2}\cdot 31 D4D_{4} (as 4T3) trivial 0.8679053094630.867905309463
4.0.784.1 x43x2+4x^{4} - 3 x^{2} + 4 24722^{4}\cdot 7^{2} C22C_2^2 (as 4T2) trivial 2.768659383312.76865938331
4.0.788.1 x4x3+2x22x+2x^{4} - x^{3} + 2 x^{2} - 2 x + 2 221972^{2}\cdot 197 S4S_4 (as 4T5) trivial 1.394113585981.39411358598
4.0.832.1 x42x32x+5x^{4} - 2 x^{3} - 2 x + 5 26132^{6}\cdot 13 D4D_{4} (as 4T3) trivial 2.138622086322.13862208632
4.0.837.1 x4x33x2x+7x^{4} - x^{3} - 3 x^{2} - x + 7 33313^{3}\cdot 31 D4D_{4} (as 4T3) trivial 2.418838104122.41883810412
4.2.848.1 x4x22x+1x^{4} - x^{2} - 2 x + 1 2453-\,2^{4}\cdot 53 S4S_4 (as 4T5) trivial 0.9929949383150.992994938315
4.0.873.1 x4x34x2+x+7x^{4} - x^{3} - 4 x^{2} + x + 7 32973^{2}\cdot 97 D4D_{4} (as 4T3) trivial 2.428002560462.42800256046
4.0.892.1 x4x3x2+2x^{4} - x^{3} - x^{2} + 2 222232^{2}\cdot 223 S4S_4 (as 4T5) trivial 1.292744269121.29274426912
4.2.976.1 x42x3+3x21x^{4} - 2 x^{3} + 3 x^{2} - 1 2461-\,2^{4}\cdot 61 S4S_4 (as 4T5) trivial 0.9906992150060.990699215006
4.0.981.1 x4x34x2+4x+7x^{4} - x^{3} - 4 x^{2} + 4 x + 7 321093^{2}\cdot 109 D4D_{4} (as 4T3) trivial 2.152218757192.15221875719
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