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Label Polynomial Discriminant Galois group Class group Regulator
10.2.4165509529.1 x10 - x9 - x8 + 3x7 - 2x6 - x5 + 3x4 - x2 - x + 1 $1609^{3}$ $S_5$ (as 10T13) trivial $4.78851392314$
10.2.4483962449.1 x10 - x7 - x5 + x4 - 2x3 + x2 - x + 1 $17^{3}\cdot 97^{3}$ $S_5$ (as 10T13) trivial $5.90538181209$
10.2.5441006848.2 x10 - x8 - 4x7 + 2x6 - 2x5 + 4x4 - 4x3 + x2 - 2x + 1 $2^{8}\cdot 277^{3}$ $S_5$ (as 10T13) trivial $6.62426511052$
10.2.5611284433.1 x10 - x9 + x8 - 2x7 + x6 + x5 - 4x4 + 3x3 - 2x + 1 $1777^{3}$ $S_5$ (as 10T13) trivial $5.80208478511$
10.2.10882188544.1 x10 - x8 - 2x7 - 2x6 - 4x5 + 2x3 + x2 + 1 $2^{8}\cdot 349^{3}$ $S_5$ (as 10T13) trivial $9.09322598856$
10.2.12119452073.2 x10 - x9 + x8 - x6 - x5 + x3 - x2 - x + 1 $2297^{3}$ $S_5$ (as 10T13) trivial $10.5649221834$
10.2.17923019113.1 x10 - x9 - 4x7 + 2x6 + 2x5 + x4 - x3 - 2x + 1 $2617^{3}$ $S_5$ (as 10T13) trivial $9.83053678535$
10.2.18927429625.1 x10 - x9 - x8 + 2x7 - 3x6 - x5 + 4x4 - x3 + x2 - x + 1 $5^{3}\cdot 13^{3}\cdot 41^{3}$ $S_5$ (as 10T13) trivial $11.5338423415$
10.2.23615200909.3 x10 + x8 - x6 - 2x5 - x4 - x3 + 1 $19^{3}\cdot 151^{3}$ $S_5$ (as 10T13) trivial $22.3279296286$
10.2.25080878336.1 x10 - x9 - x8 + 2x7 + 3x6 + 3x5 - 5x4 - 12x3 - 11x2 - 5x - 1 $2^{8}\cdot 461^{3}$ $S_5$ (as 10T13) trivial $18.76633546$
10.2.27461605913.1 x10 - x7 - x6 - 2x5 + x + 1 $7^{3}\cdot 431^{3}$ $S_5$ (as 10T13) trivial $17.7848312304$
10.2.29474993969.1 x10 - x9 - 2x8 + 4x7 - 4x6 - 2x5 + 7x4 - x3 - 2x2 + 1 $3089^{3}$ $S_5$ (as 10T13) trivial $14.0762389296$
10.2.33608047921.1 x10 - 3x8 + 2x6 - 2x5 + 5x4 + 4x3 - 3x2 - 4x - 1 $7^{4}\cdot 241^{3}$ $S_5$ (as 10T13) trivial $18.676897024$
10.2.33792250337.1 x10 - x7 + x6 - 2x5 - x + 1 $53^{3}\cdot 61^{3}$ $S_5$ (as 10T13) trivial $18.5117480209$
10.2.38238692409.1 x10 - x9 + x8 - 3x7 - x5 + 3x4 - 2x3 - x2 - x + 1 $3^{3}\cdot 1123^{3}$ $S_5$ (as 10T13) trivial $20.6325121629$
10.2.54470700288.2 x10 - 2x6 - 4x3 + 4x2 - 4x + 4 $2^{8}\cdot 3^{3}\cdot 199^{3}$ $S_5$ (as 10T13) trivial $33.313495222$
10.2.56409309184.1 x10 - x9 + 2x8 - 7x7 + 3x6 + 2x5 - 7x4 + 5x3 - 3x + 1 $2^{14}\cdot 151^{3}$ $S_5$ (as 10T13) trivial $45.5221642912$
10.2.57378463793.1 x10 - x9 + x8 - 2x7 + x6 - 3x5 + x3 + x2 + x + 1 $7^{3}\cdot 19^{3}\cdot 29^{3}$ $S_5$ (as 10T13) trivial $24.9742948243$
10.2.58818484369.1 x10 - x9 - x8 + 2x7 - 3x6 - x5 + 2x4 - x3 + 1 $3889^{3}$ $S_5$ (as 10T13) trivial $19.5377117302$
10.2.58968677632.1 x10 - 2x9 + 2x8 - 2x7 + 4x5 - 8x4 + 4x3 + 4x2 - 8x + 4 $2^{8}\cdot 613^{3}$ $S_5$ (as 10T13) trivial $27.5601543374$
10.2.59501707264.1 x10 - 4x9 + 5x8 - 6x6 + 4x5 + 5x2 - 1 $2^{18}\cdot 61^{3}$ $S_5$ (as 10T13) trivial $61.2859856522$
10.2.59897527569.1 x10 - x9 - x8 - x7 + 6x6 + 5x5 - 3x4 - 4x3 + x2 + 5x - 1 $3^{8}\cdot 11^{3}\cdot 19^{3}$ $S_5$ (as 10T13) trivial $26.7498676466$
10.2.66331758592.2 x10 - x9 - 2x8 + x7 - 5x6 - 2x5 + 5x4 - 3x3 + x + 1 $2^{12}\cdot 11^{3}\cdot 23^{3}$ $S_5$ (as 10T13) trivial $36.4949128117$
10.2.72459558809.1 x10 - 2x9 - 2x8 + 7x7 - 3x6 - 6x5 + 4x4 - 2x3 + 4x2 - x + 1 $11^{3}\cdot 379^{3}$ $S_5$ (as 10T13) trivial $25.8765661644$
10.4.72758649087.1 x10 - x9 + 3x8 - 6x7 - 3x6 - 3x5 - 6x4 + 3x3 + 2x + 1 $-\,3^{8}\cdot 223^{3}$ $S_5$ (as 10T13) trivial $30.6901611785$
10.4.74515853627.1 x10 - 2x9 + 2x8 - x7 - 5x6 + 3x5 - 3x4 + x3 + 7x2 + 4x + 1 $-\,19^{4}\cdot 83^{3}$ $S_5$ (as 10T13) trivial $55.1347630923$
10.2.75049519552.1 x10 - x9 - 2x8 - 3x7 - 2x6 + 4x4 + x3 + 3x2 - 2x - 1 $2^{6}\cdot 7^{3}\cdot 43^{4}$ $S_5$ (as 10T13) trivial $46.5119692301$
10.2.77363231581.1 x10 + 2x8 - 4x7 - 2x6 - 2x5 + 4x4 - 2x3 - 2x + 1 $4261^{3}$ $S_5$ (as 10T13) trivial $30.0397475333$
10.2.79433915648.1 x10 + x8 - 4x7 + 4x6 - 2x5 - 6x4 + 4x3 - x2 - 2x + 1 $2^{8}\cdot 677^{3}$ $S_5$ (as 10T13) trivial $34.3199517734$
10.2.85707789929.1 x10 - 2x8 - x7 - 2x6 + x5 + 3x4 - 2x3 - x2 + x + 1 $4409^{3}$ $S_5$ (as 10T13) trivial $24.4605225553$
10.2.86175179713.1 x10 - 2x9 + 2x8 + x7 - 3x6 - 2x5 - 2x4 - 2x2 - x + 1 $7^{3}\cdot 631^{3}$ $S_5$ (as 10T13) trivial $27.5240171192$
10.2.86879445589.1 x10 - 2x9 + x8 - 2x7 + 4x6 - 5x5 + x4 - 2x3 + x2 + x + 1 $43^{3}\cdot 103^{3}$ $S_5$ (as 10T13) trivial $33.1655845358$
10.2.89734879333.1 x10 - x9 - x8 + 2x7 - x6 - 3x5 + 2x4 + x2 + 1 $11^{6}\cdot 37^{3}$ $S_5$ (as 10T13) trivial $35.9216147033$
10.4.91794884831.1 x10 - x9 + 4x7 - 2x6 - 2x5 - x4 + x3 - 2x + 1 $-\,13^{3}\cdot 347^{3}$ $S_5$ (as 10T13) trivial $36.1853120565$
10.2.94134281149.2 x10 - 2x9 + 2x8 - 3x7 - 3x6 + 4x5 + x4 - x2 - 2x + 1 $4549^{3}$ $S_5$ (as 10T13) trivial $44.7397967292$
10.2.97145684173.2 x10 - x9 + x8 - 6x7 + x6 + x5 + 6x4 - 2x3 - x2 - 2x + 1 $4597^{3}$ $S_5$ (as 10T13) trivial $38.1005761988$
10.2.107365139712.2 x10 - x9 + x8 + 4x7 - 15x6 + x5 + 27x4 - 14x3 - 13x2 + 11x - 1 $2^{8}\cdot 3^{4}\cdot 173^{3}$ $S_5$ (as 10T13) trivial $40.8746207381$
10.2.107646386093.1 x10 - 2x9 - x8 + 6x7 - 6x6 - 3x5 + 7x4 - 4x3 + 3x2 - x + 1 $67^{3}\cdot 71^{3}$ $S_5$ (as 10T13) trivial $48.7653737163$
10.2.111771206513.1 x10 - 2x9 + x7 - 3x6 - 2x5 + 8x4 - 6x3 + 2x2 - x + 1 $4817^{3}$ $S_5$ (as 10T13) trivial $30.362674495$
10.2.117433042273.2 x10 - x9 - x8 + 2x7 - 3x6 + 5x5 - 2x4 + 3x3 + x2 + x + 1 $59^{3}\cdot 83^{3}$ $S_5$ (as 10T13) trivial $29.6416155266$
10.4.117865222327.1 x10 - x9 - x8 + 3x6 - 3x5 - 8x4 + 7x3 - 2x + 1 $-\,4903^{3}$ $S_5$ (as 10T13) trivial $57.8296423144$
10.2.118940458033.1 x10 - x8 - 6x7 - 3x6 + x5 - x4 - 6x3 - 8x2 - 3x - 1 $19^{4}\cdot 97^{3}$ $S_5$ (as 10T13) trivial $35.0449643191$
10.4.126237434624.1 x10 - 3x9 + x8 + 2x7 - x6 - 3x5 + 11x4 - 4x3 + x2 + 3x - 1 $-\,2^{8}\cdot 7^{4}\cdot 59^{3}$ $S_5$ (as 10T13) trivial $55.7962913178$
10.2.126884390625.1 x10 - 3x7 - 2x6 - 3x5 + 3x4 + 4x3 + x2 + x + 1 $3^{3}\cdot 5^{6}\cdot 67^{3}$ $S_5$ (as 10T13) trivial $53.1753805254$
10.2.129602962688.1 x10 - 2x9 - 2x7 + 8x6 - 4x5 - 8x3 + 4x2 + 4 $2^{8}\cdot 797^{3}$ $S_5$ (as 10T13) trivial $51.4432096337$
10.2.132031254528.2 x10 - 2x9 + 2x8 - 2x7 + 3x6 - 8x5 + 9x4 + 4x3 - 20x2 + 16x - 4 $2^{12}\cdot 3^{8}\cdot 17^{3}$ $S_5$ (as 10T13) trivial $64.7115102512$
10.4.133541229312.1 x10 - 2x9 - x8 + 10x7 - 6x6 - 2x5 + 6x4 - 14x3 + x2 + 4x - 1 $-\,2^{8}\cdot 3^{8}\cdot 43^{3}$ $S_5$ (as 10T13) trivial $59.4906287429$
10.2.137707850944.1 x10 - x9 - 2x8 + 7x7 - 8x6 + 2x5 + 8x4 - 5x3 - x2 + 1 $2^{6}\cdot 1291^{3}$ $S_5$ (as 10T13) trivial $66.5085583303$
10.2.150288260544.1 x10 - 3x9 + 8x8 - 6x7 + x6 + 9x5 - 5x4 + 3x3 + 5x2 - 3x - 2 $2^{6}\cdot 3^{8}\cdot 71^{3}$ $S_5$ (as 10T13) trivial $68.5106452112$
10.2.160722988453.1 x10 - 2x9 + 4x8 - 2x7 - 2x6 - 2x5 - 2x4 + 4x3 - 2x2 - 2x + 1 $5437^{3}$ $S_5$ (as 10T13) trivial $44.5320791146$
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