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Label Polynomial Discriminant Galois group Class group Regulator
7.7.20134393.1 x7 - x6 - 6x5 + 4x4 + 10x3 - 4x2 - 4x + 1 $71\cdot 283583$ $S_7$ (as 7T7) trivial $14.4469325697$
7.7.25164057.1 x7 - 2x6 - 5x5 + 9x4 + 7x3 - 10x2 - 2x + 1 $3\cdot 8388019$ $S_7$ (as 7T7) trivial $19.80915144$
7.7.25367689.1 x7 - x6 - 6x5 + 4x4 + 9x3 - 4x2 - 3x + 1 $17\cdot 23\cdot 64879$ $S_7$ (as 7T7) trivial $16.0058631711$
7.7.28118369.1 x7 - 2x6 - 5x5 + 9x4 + 7x3 - 9x2 - 3x + 1 $28118369$ $S_7$ (as 7T7) trivial $18.1278435397$
7.7.30653489.1 x7 - 7x5 - x4 + 11x3 + 3x2 - 3x - 1 $1399\cdot 21911$ $S_7$ (as 7T7) trivial $22.422780934$
7.7.31056073.1 x7 - 3x6 - 3x5 + 11x4 + x3 - 9x2 + 1 $1489\cdot 20857$ $S_7$ (as 7T7) trivial $19.190933431$
7.7.32354821.1 x7 - 2x6 - 5x5 + 9x4 + 6x3 - 8x2 - x + 1 $32354821$ $S_7$ (as 7T7) trivial $21.2315696453$
7.7.32567681.1 x7 - 7x5 - 2x4 + 10x3 + 3x2 - 3x - 1 $89\cdot 365929$ $S_7$ (as 7T7) trivial $19.5076733229$
7.7.34554953.1 x7 - 2x6 - 5x5 + 9x4 + 5x3 - 8x2 + 1 $34554953$ $S_7$ (as 7T7) trivial $20.3078549372$
7.7.35269513.1 x7 - 2x6 - 5x5 + 10x4 + 5x3 - 10x2 - x + 1 $35269513$ $S_7$ (as 7T7) trivial $20.4079688742$
7.7.39610073.1 x7 - x6 - 7x5 + 3x4 + 10x3 - 3x2 - 3x + 1 $89\cdot 599\cdot 743$ $S_7$ (as 7T7) trivial $23.8192994162$
7.7.39829313.1 x7 - x6 - 7x5 + 5x4 + 13x3 - 5x2 - 6x - 1 $373\cdot 106781$ $S_7$ (as 7T7) trivial $26.2499084846$
7.7.41153941.1 x7 - x6 - 7x5 + 5x4 + 13x3 - 6x2 - 7x + 1 $41153941$ $S_7$ (as 7T7) trivial $24.5578304012$
7.7.41455873.1 x7 - 8x5 - x4 + 19x3 + 5x2 - 12x - 5 $37\cdot 1120429$ $S_7$ (as 7T7) trivial $24.3431741014$
7.7.41783473.1 x7 - 7x5 - x4 + 13x3 + 4x2 - 4x - 1 $4639\cdot 9007$ $S_7$ (as 7T7) trivial $23.5815656478$
7.7.42855577.1 x7 - x6 - 7x5 + 3x4 + 14x3 + 2x2 - 4x - 1 $197\cdot 211\cdot 1031$ $S_7$ (as 7T7) trivial $23.0470162908$
7.7.43242544.1 x7 - x6 - 7x5 + 4x4 + 15x3 - 2x2 - 8x - 1 $2^{4}\cdot 101\cdot 26759$ $S_7$ (as 7T7) trivial $26.0668946854$
7.7.43723857.1 x7 - x6 - 7x5 + 7x4 + 12x3 - 10x2 - 6x + 3 $3\cdot 31\cdot 470149$ $S_7$ (as 7T7) trivial $27.8918524098$
7.7.46643776.1 x7 - x6 - 7x5 + 3x4 + 13x3 - x2 - 5x - 1 $2^{6}\cdot 728809$ $S_7$ (as 7T7) trivial $37.1660747556$
7.7.49960857.1 x7 - 7x5 + 13x3 - 5x - 1 $3\cdot 16653619$ $S_7$ (as 7T7) trivial $30.5453900289$
7.7.52011969.1 x7 - 3x6 - 3x5 + 13x4 - x3 - 13x2 + 4x + 1 $3\cdot 251\cdot 69073$ $S_7$ (as 7T7) trivial $31.2216706257$
7.7.55073801.1 x7 - 2x6 - 6x5 + 8x4 + 8x3 - 6x2 - 3x + 1 $47\cdot 1171783$ $S_7$ (as 7T7) trivial $27.3388336938$
7.7.55078981.1 x7 - x6 - 7x5 + 2x4 + 12x3 - 5x - 1 $55078981$ $S_7$ (as 7T7) trivial $25.8498011328$
7.7.55311169.1 x7 - x6 - 7x5 + 8x4 + 10x3 - 11x2 - 2x + 1 $313\cdot 176713$ $S_7$ (as 7T7) trivial $27.523108497$
7.7.57936017.1 x7 - x6 - 7x5 + 6x4 + 11x3 - 5x2 - 3x + 1 $17\cdot 3408001$ $S_7$ (as 7T7) trivial $33.0010824904$
7.7.58355513.1 x7 - 2x6 - 5x5 + 9x4 + 5x3 - 7x2 - x + 1 $563\cdot 103651$ $S_7$ (as 7T7) trivial $28.607795478$
7.7.61136809.1 x7 - 7x5 - 2x4 + 12x3 + 5x2 - 3x - 1 $397\cdot 153997$ $S_7$ (as 7T7) trivial $31.3038798767$
7.7.63128113.1 x7 - 2x6 - 5x5 + 8x4 + 6x3 - 7x2 - x + 1 $109\cdot 269\cdot 2153$ $S_7$ (as 7T7) trivial $28.558636017$
7.7.65698681.1 x7 - x6 - 8x5 + x4 + 12x3 - x2 - 4x + 1 $3359\cdot 19559$ $S_7$ (as 7T7) trivial $31.5015984005$
7.7.65845693.1 x7 - 7x5 - 2x4 + 11x3 + 3x2 - 4x - 1 $5939\cdot 11087$ $S_7$ (as 7T7) trivial $31.6897432475$
7.7.67159593.1 x7 - 3x6 - 3x5 + 11x4 + 2x3 - 10x2 + 1 $3^{2}\cdot 43\cdot 173539$ $S_7$ (as 7T7) trivial $30.693097893$
7.7.68249369.1 x7 - x6 - 7x5 + 2x4 + 12x3 + x2 - 4x - 1 $109\cdot 293\cdot 2137$ $S_7$ (as 7T7) trivial $37.8375333914$
7.7.69012929.1 x7 - 2x6 - 6x5 + 8x4 + 11x3 - 6x2 - 6x - 1 $619\cdot 111491$ $S_7$ (as 7T7) trivial $30.3025371273$
7.7.69678137.1 x7 - 3x6 - 3x5 + 13x4 - 2x3 - 9x2 + x + 1 $191\cdot 601\cdot 607$ $S_7$ (as 7T7) trivial $31.311727765$
7.7.69836041.1 x7 - 3x6 - 4x5 + 16x4 - 20x2 + 8x + 1 $11\cdot 577\cdot 11003$ $S_7$ (as 7T7) trivial $29.5970336067$
7.7.70244521.1 x7 - 7x5 - x4 + 13x3 + 2x2 - 6x - 1 $41\cdot 1713281$ $S_7$ (as 7T7) trivial $32.5855580427$
7.7.75602713.1 x7 - 2x6 - 6x5 + 10x4 + 9x3 - 13x2 - x + 1 $1409\cdot 53657$ $S_7$ (as 7T7) trivial $35.1504873982$
7.7.75630121.1 x7 - x6 - 8x5 + 9x4 + 16x3 - 18x2 - 7x + 7 $7\cdot 263\cdot 41081$ $S_7$ (as 7T7) trivial $35.0401108502$
7.7.77004029.1 x7 - x6 - 7x5 + 4x4 + 15x3 - 2x2 - 9x - 2 $77004029$ $S_7$ (as 7T7) trivial $51.589527101$
7.7.78373945.1 x7 - x6 - 7x5 + 3x4 + 13x3 + x2 - 4x - 1 $5\cdot 13\cdot 1205753$ $S_7$ (as 7T7) trivial $34.6446938558$
7.7.78534833.1 x7 - x6 - 7x5 + 5x4 + 14x3 - 4x2 - 8x - 1 $13\cdot 211\cdot 28631$ $S_7$ (as 7T7) trivial $31.869429564$
7.7.79044293.1 x7 - 2x6 - 5x5 + 8x4 + 7x3 - 7x2 - 2x + 1 $109^{2}\cdot 6653$ $S_7$ (as 7T7) trivial $34.9501779702$
7.7.79397476.1 x7 - 3x6 - 3x5 + 13x4 - x3 - 12x2 + 2x + 2 $2^{2}\cdot 29\cdot 47\cdot 14563$ $S_7$ (as 7T7) trivial $51.3778536518$
7.7.79438057.1 x7 - 8x5 - 4x4 + 10x3 + 4x2 - 3x - 1 $613\cdot 129589$ $S_7$ (as 7T7) trivial $34.3226649757$
7.7.80750473.1 x7 - x6 - 7x5 + 6x4 + 9x3 - 5x2 - 3x + 1 $80750473$ $S_7$ (as 7T7) trivial $31.219142469$
7.7.81323773.1 x7 - 3x6 - 3x5 + 12x4 + x3 - 12x2 + x + 2 $81323773$ $S_7$ (as 7T7) trivial $52.481260067$
7.7.81437164.1 x7 - 7x5 - x4 + 12x3 + 2x2 - 4x - 1 $2^{2}\cdot 1787\cdot 11393$ $S_7$ (as 7T7) trivial $52.1624717732$
7.7.82916101.1 x7 - 2x6 - 6x5 + 8x4 + 12x3 - 7x2 - 6x + 1 $73\cdot 1135837$ $S_7$ (as 7T7) trivial $38.9613867782$
7.7.83266101.1 x7 - 8x5 - x4 + 18x3 + 5x2 - 10x - 4 $3^{2}\cdot 359\cdot 25771$ $S_7$ (as 7T7) trivial $38.4291482784$
7.7.83934569.1 x7 - 8x5 + 19x3 - x2 - 13x + 1 $83934569$ $S_7$ (as 7T7) trivial $35.9249048252$
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