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Label Polynomial Discriminant Galois group Class group Regulator
5.1.937024.1 $x^{5} - x^{4} - 4 x^{3} - 8 x^{2} + 3 x - 23$ $2^{6}\cdot 11^{4}$ $D_{5}$ (as 5T2) $[5]$ $11.6928949873$
5.1.2005817.1 $x^{5} - x^{4} + 7 x^{3} - 8 x^{2} + 14 x - 1$ $11^{4}\cdot 137$ $S_5$ (as 5T5) $[5]$ $13.5186923622$
5.3.4626556.1 $x^{5} - 2 x^{4} - 5 x^{3} + 13 x^{2} + 4 x - 21$ $-\,2^{2}\cdot 11^{4}\cdot 79$ $S_5$ (as 5T5) $[5]$ $23.3340322131$
5.1.5285401.1 $x^{5} - 2 x^{4} - 5 x^{3} + 2 x^{2} + 48 x - 32$ $11^{4}\cdot 19^{2}$ $D_{5}$ (as 5T2) $[5]$ $17.2631541566$
5.1.5387888.2 $x^{5} - 2 x^{4} + 6 x^{3} + 2 x^{2} + 4 x + 12$ $2^{4}\cdot 11^{4}\cdot 23$ $S_5$ (as 5T5) $[5]$ $21.3064320011$
5.1.7218013.1 $x^{5} - x^{4} - 4 x^{3} + 3 x^{2} + 14 x - 12$ $11^{4}\cdot 17\cdot 29$ $S_5$ (as 5T5) $[5]$ $12.717538523$
5.1.9092061.1 $x^{5} - 2 x^{4} - 5 x^{3} + 2 x^{2} + 59 x - 109$ $3^{3}\cdot 11^{4}\cdot 23$ $S_5$ (as 5T5) $[5]$ $11.7946438448$
5.1.10029085.1 $x^{5} - 2 x^{4} + 6 x^{3} - 9 x^{2} + 15 x - 10$ $5\cdot 11^{4}\cdot 137$ $S_5$ (as 5T5) $[5]$ $9.3248706204$
5.1.10541520.1 $x^{5} - x^{4} - 4 x^{3} - 8 x^{2} - 8 x - 12$ $2^{4}\cdot 3^{2}\cdot 5\cdot 11^{4}$ $S_5$ (as 5T5) $[5]$ $32.3548885054$
5.3.11873851.1 $x^{5} - 2 x^{4} + 6 x^{3} + 2 x^{2} - 7 x + 1$ $-\,11^{4}\cdot 811$ $S_5$ (as 5T5) $[5]$ $12.6196328522$
5.1.12371645.1 $x^{5} - 2 x^{4} + 6 x^{3} + 35 x^{2} - 51 x + 23$ $5\cdot 11^{4}\cdot 13^{2}$ $S_5$ (as 5T5) $[5]$ $17.2061614163$
5.3.12649824.1 $x^{5} - x^{4} - 4 x^{3} + 14 x^{2} - 41 x + 43$ $-\,2^{5}\cdot 3^{3}\cdot 11^{4}$ $S_5$ (as 5T5) $[5]$ $59.5976489068$
5.1.14231052.1 $x^{5} - x^{4} - 4 x^{3} - 19 x^{2} + 58 x + 10$ $2^{2}\cdot 3^{5}\cdot 11^{4}$ $S_5$ (as 5T5) $[5]$ $32.4657644927$
5.3.20380272.1 $x^{5} - x^{4} - 4 x^{3} + 14 x^{2} - 8 x - 12$ $-\,2^{4}\cdot 3\cdot 11^{4}\cdot 29$ $S_5$ (as 5T5) $[5]$ $62.705851376$
5.1.23425600.2 $x^{5} - 2 x^{4} + 6 x^{3} + 24 x^{2} + 37 x + 34$ $2^{6}\cdot 5^{2}\cdot 11^{4}$ $A_5$ (as 5T4) $[5]$ $63.3347112531$
5.3.24596880.1 $x^{5} - 2 x^{4} - 5 x^{3} + 2 x^{2} + 15 x - 10$ $-\,2^{4}\cdot 3\cdot 5\cdot 7\cdot 11^{4}$ $S_5$ (as 5T5) $[5]$ $58.3525438811$
5.1.33030096.1 $x^{5} - 2 x^{4} + 6 x^{3} - 20 x^{2} + 37 x + 12$ $2^{4}\cdot 3\cdot 11^{4}\cdot 47$ $S_5$ (as 5T5) $[5]$ $68.968993411$
5.3.33967120.1 $x^{5} - 11 x^{3} - 22 x^{2} + 55 x + 44$ $-\,2^{4}\cdot 5\cdot 11^{4}\cdot 29$ $S_5$ (as 5T5) $[5]$ $49.5921127769$
5.1.38081241.2 $x^{5} - 2 x^{4} + 17 x^{3} + 2 x^{2} + 48 x + 45$ $3^{2}\cdot 11^{4}\cdot 17^{2}$ $A_5$ (as 5T4) $[5]$ $48.387799727$
5.1.53644624.1 $x^{5} - 22 x^{2} - 22 x - 44$ $2^{4}\cdot 11^{4}\cdot 229$ $S_5$ (as 5T5) $[5]$ $91.8828245488$
5.1.75898944.2 $x^{5} - x^{4} + 7 x^{3} + 3 x^{2} + 3 x + 21$ $2^{6}\cdot 3^{4}\cdot 11^{4}$ $A_5$ (as 5T4) $[5]$ $71.4489254334$
5.3.76133200.1 $x^{5} - 2 x^{4} - 5 x^{3} - 20 x^{2} + 15 x + 100$ $-\,2^{4}\cdot 5^{2}\cdot 11^{4}\cdot 13$ $S_5$ (as 5T5) $[5]$ $94.3118479677$
5.1.78007248.1 $x^{5} - x^{4} + 18 x^{3} + 36 x^{2} + 135 x + 153$ $2^{4}\cdot 3^{2}\cdot 11^{4}\cdot 37$ $S_5$ (as 5T5) $[5]$ $46.5847243412$
5.3.86191567.1 $x^{5} - 11 x^{3} - 33 x^{2} - 33 x + 44$ $-\,7\cdot 11^{4}\cdot 29^{2}$ $S_5$ (as 5T5) $[5]$ $175.488688533$
5.1.89676125.1 $x^{5} - 2 x^{4} - 5 x^{3} - 42 x^{2} - 7 x - 32$ $5^{3}\cdot 7^{2}\cdot 11^{4}$ $S_5$ (as 5T5) $[5]$ $73.8320615157$
5.1.94873680.2 $x^{5} - 2 x^{4} - 16 x^{3} + 24 x^{2} + 48 x - 120$ $2^{4}\cdot 3^{4}\cdot 5\cdot 11^{4}$ $S_5$ (as 5T5) $[5]$ $90.1849495038$
5.1.94873680.6 $x^{5} - 2 x^{4} + 6 x^{3} + 2 x^{2} + 26 x + 12$ $2^{4}\cdot 3^{4}\cdot 5\cdot 11^{4}$ $S_5$ (as 5T5) $[5]$ $240.243480835$
5.5.96864856.1 $x^{5} - 2 x^{4} - 16 x^{3} + 13 x^{2} + 48 x - 32$ $2^{3}\cdot 11^{4}\cdot 827$ $S_5$ (as 5T5) $[5]$ $292.147982912$
5.1.115034337.1 $x^{5} - x^{4} + 7 x^{3} - 19 x^{2} - 8 x - 1$ $3^{4}\cdot 11^{4}\cdot 97$ $S_5$ (as 5T5) $[5]$ $57.0705803992$
5.5.117128000.1 $x^{5} - x^{4} - 15 x^{3} + 25 x^{2} + 25 x - 45$ $2^{6}\cdot 5^{3}\cdot 11^{4}$ $F_5$ (as 5T3) $[5]$ $201.702809589$
5.1.126498240.1 $x^{5} - 2 x^{4} + 6 x^{3} - 20 x^{2} + 4 x - 120$ $2^{6}\cdot 3^{3}\cdot 5\cdot 11^{4}$ $S_5$ (as 5T5) $[5]$ $166.207687616$
5.3.132823152.1 $x^{5} - 2 x^{4} - 5 x^{3} + 2 x^{2} - 7 x - 10$ $-\,2^{4}\cdot 3^{4}\cdot 7\cdot 11^{4}$ $S_5$ (as 5T5) $[5]$ $129.001134033$
5.3.145868283.1 $x^{5} - x^{4} - 4 x^{3} - 8 x^{2} + 14 x - 1$ $-\,3^{5}\cdot 11^{4}\cdot 41$ $S_5$ (as 5T5) $[5]$ $81.0352224547$
5.3.147991228.1 $x^{5} - 2 x^{4} + 6 x^{3} + 2 x^{2} - 84 x + 56$ $-\,2^{2}\cdot 7\cdot 11^{4}\cdot 19^{2}$ $S_5$ (as 5T5) $[5]$ $177.381756915$
5.3.154960344.1 $x^{5} - 2 x^{4} - 16 x^{3} + 35 x^{2} - 7 x + 1$ $-\,2^{3}\cdot 3^{3}\cdot 7^{2}\cdot 11^{4}$ $S_5$ (as 5T5) $[5]$ $133.997837951$
5.1.157420032.1 $x^{5} - x^{4} - 4 x^{3} - 8 x^{2} - 52 x - 100$ $2^{9}\cdot 3\cdot 7\cdot 11^{4}$ $S_5$ (as 5T5) $[5]$ $207.995196965$
5.1.158122800.2 $x^{5} - x^{4} - 26 x^{3} + 14 x^{2} + 157 x + 263$ $2^{4}\cdot 3^{3}\cdot 5^{2}\cdot 11^{4}$ $S_5$ (as 5T5) $[5]$ $176.893351613$
5.3.168005475.1 $x^{5} - x^{4} - 15 x^{3} + 47 x^{2} + 25 x - 45$ $-\,3^{3}\cdot 5^{2}\cdot 11^{4}\cdot 17$ $S_5$ (as 5T5) $[5]$ $219.608747832$
5.1.175516308.1 $x^{5} - x^{4} - 4 x^{3} - 8 x^{2} + 14 x + 32$ $2^{2}\cdot 3^{4}\cdot 11^{4}\cdot 37$ $S_5$ (as 5T5) $[5]$ $219.294764344$
5.1.183012500.1 $x^{5} + 165 x - 682$ $2^{2}\cdot 5^{5}\cdot 11^{4}$ $S_5$ (as 5T5) $[5]$ $275.614145148$
5.1.197009296.1 $x^{5} - x^{4} + 7 x^{3} - 107 x^{2} + 256 x - 364$ $2^{4}\cdot 11^{4}\cdot 29^{2}$ $D_{5}$ (as 5T2) $[5]$ $212.37080643$
5.1.199586112.1 $x^{5} - 22 x^{2} + 165 x - 198$ $2^{6}\cdot 3\cdot 11^{4}\cdot 71$ $S_5$ (as 5T5) $[5]$ $351.422652359$
5.3.202397184.3 $x^{5} - 2 x^{4} + 6 x^{3} - 20 x^{2} - 62 x + 12$ $-\,2^{9}\cdot 3^{3}\cdot 11^{4}$ $S_5$ (as 5T5) $[5]$ $379.905781607$
5.3.204974000.1 $x^{5} - x^{4} - 26 x^{3} - 30 x^{2} + 25 x + 175$ $-\,2^{4}\cdot 5^{3}\cdot 7\cdot 11^{4}$ $S_5$ (as 5T5) $[5]$ $230.129003426$
5.3.207536175.1 $x^{5} - x^{4} + 7 x^{3} + 25 x^{2} - 217 x + 175$ $-\,3^{4}\cdot 5^{2}\cdot 7\cdot 11^{4}$ $S_5$ (as 5T5) $[5]$ $272.123198887$
5.1.215047008.1 $x^{5} - x^{4} + 18 x^{3} - 30 x^{2} + 69 x - 441$ $2^{5}\cdot 3^{3}\cdot 11^{4}\cdot 17$ $S_5$ (as 5T5) $[5]$ $339.308778657$
5.3.221371920.1 $x^{5} - 2 x^{4} - 5 x^{3} - 64 x^{2} + 290 x - 274$ $-\,2^{4}\cdot 3^{3}\cdot 5\cdot 7\cdot 11^{4}$ $S_5$ (as 5T5) $[5]$ $303.641343088$
5.1.221503689.1 $x^{5} - 11 x^{3} - 66 x^{2} - 308 x - 528$ $3^{2}\cdot 11^{4}\cdot 41^{2}$ $D_{5}$ (as 5T2) $[5]$ $279.65946028$
5.1.232440516.2 $x^{5} - x^{4} + 7 x^{3} - 96 x^{2} + 234 x - 210$ $2^{2}\cdot 3^{4}\cdot 7^{2}\cdot 11^{4}$ $A_5$ (as 5T4) $[5]$ $227.415651308$
5.3.246671568.1 $x^{5} - x^{4} + 7 x^{3} + 25 x^{2} - 52 x - 56$ $-\,2^{4}\cdot 3^{4}\cdot 11^{4}\cdot 13$ $S_5$ (as 5T5) $[5]$ $277.237491864$
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