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Label Polynomial Discriminant Galois group Class group
4.0.3136.1 x4 - 2x3 + 2x2 + 2 \( 2^{6}\cdot 7^{2} \) $A_4$ (as 4T4) Trivial
4.0.4225.1 x4 - x3 - 3x + 4 \( 5^{2}\cdot 13^{2} \) $A_4$ (as 4T4) $[2]$
4.0.5184.1 x4 - 2x3 + 6x2 - 4x + 2 \( 2^{6}\cdot 3^{4} \) $A_4$ (as 4T4) Trivial
4.0.8281.1 x4 - x3 + 5x2 - 4x + 3 \( 7^{2}\cdot 13^{2} \) $A_4$ (as 4T4) $[2]$
4.0.10816.1 x4 - 2x3 + 2x2 + 4x + 2 \( 2^{6}\cdot 13^{2} \) $A_4$ (as 4T4) Trivial
4.0.15376.1 x4 + 7x2 - 2x + 14 \( 2^{4}\cdot 31^{2} \) $A_4$ (as 4T4) $[4]$
4.0.17689.1 x4 + 3x2 - 7x + 4 \( 7^{2}\cdot 19^{2} \) $A_4$ (as 4T4) $[4]$
4.0.23104.1 x4 - 2x3 + 10x2 - 8x + 2 \( 2^{6}\cdot 19^{2} \) $A_4$ (as 4T4) Trivial
4.0.23409.1 x4 - x3 + 6x2 - 5x + 8 \( 3^{4}\cdot 17^{2} \) $A_4$ (as 4T4) $[2]$
4.4.26569.1 x4 - x3 - 7x2 + 2x + 9 \( 163^{2} \) $A_4$ (as 4T4) Trivial
4.0.29241.1 x4 - x3 + 3x2 + x + 20 \( 3^{4}\cdot 19^{2} \) $A_4$ (as 4T4) $[4]$
4.0.29584.1 x4 - 2x3 + 2x2 + 10x + 9 \( 2^{4}\cdot 43^{2} \) $A_4$ (as 4T4) $[2]$
4.4.33489.1 x4 - 7x2 - 3x + 1 \( 3^{2}\cdot 61^{2} \) $A_4$ (as 4T4) Trivial
4.0.40401.1 x4 - x3 + 4x2 - 12x + 24 \( 3^{2}\cdot 67^{2} \) $A_4$ (as 4T4) $[4]$
4.0.41209.1 x4 - x3 + 5x2 - 6x + 7 \( 7^{2}\cdot 29^{2} \) $A_4$ (as 4T4) $[2]$
4.0.43681.1 x4 - x3 - 9x2 + 6x + 25 \( 11^{2}\cdot 19^{2} \) $A_4$ (as 4T4) $[4]$
4.0.47961.1 x4 - x3 - 2x2 + 24 \( 3^{2}\cdot 73^{2} \) $A_4$ (as 4T4) $[4]$
4.0.61504.1 x4 - 6x2 - 8x + 28 \( 2^{6}\cdot 31^{2} \) $A_4$ (as 4T4) $[2]$
4.4.61504.1 x4 - 2x3 - 7x2 + 6x + 11 \( 2^{6}\cdot 31^{2} \) $A_4$ (as 4T4) Trivial
4.0.63504.1 x4 - 2x3 + 6x2 - 4x + 20 \( 2^{4}\cdot 3^{4}\cdot 7^{2} \) $A_4$ (as 4T4) $[2]$
4.0.74529.1 x4 - x3 + 7x2 + 9x + 24 \( 3^{2}\cdot 7^{2}\cdot 13^{2} \) $A_4$ (as 4T4) $[4]$
4.4.76729.1 x4 - x3 - 11x2 + 4x + 12 \( 277^{2} \) $A_4$ (as 4T4) $[2]$
4.0.82369.1 x4 - x3 + 4x2 - 7x + 8 \( 7^{2}\cdot 41^{2} \) $A_4$ (as 4T4) $[2]$
4.0.87616.1 x4 - 8x2 - 8x + 44 \( 2^{6}\cdot 37^{2} \) $A_4$ (as 4T4) Trivial
4.0.90601.1 x4 - x3 - 7x2 + 9x + 38 \( 7^{2}\cdot 43^{2} \) $A_4$ (as 4T4) $[4]$
4.0.95481.1 x4 + 13x2 - 3x + 46 \( 3^{2}\cdot 103^{2} \) $A_4$ (as 4T4) $[4]$
4.0.99225.1 x4 - x3 + 7x + 14 \( 3^{4}\cdot 5^{2}\cdot 7^{2} \) $A_4$ (as 4T4) $[2]$
4.0.110889.1 x4 - x3 + 6x2 + 11x + 10 \( 3^{4}\cdot 37^{2} \) $A_4$ (as 4T4) $[2]$
4.0.112225.1 x4 + 11x2 - 5x + 29 \( 5^{2}\cdot 67^{2} \) $A_4$ (as 4T4) $[2]$
4.0.118336.1 x4 - 2x3 + 9x2 - 6x + 7 \( 2^{6}\cdot 43^{2} \) $A_4$ (as 4T4) $[2]$
4.0.118336.2 x4 - 6x2 - 8x + 40 \( 2^{6}\cdot 43^{2} \) $A_4$ (as 4T4) $[4]$
4.4.121801.1 x4 - x3 - 10x2 + 3x + 20 \( 349^{2} \) $A_4$ (as 4T4) Trivial
4.0.132496.1 x4 - 2x3 + 14x2 - 12x + 20 \( 2^{4}\cdot 7^{2}\cdot 13^{2} \) $A_4$ (as 4T4) $[2]$
4.4.157609.1 x4 - 13x2 - 2x + 19 \( 397^{2} \) $A_4$ (as 4T4) Trivial
4.0.159201.1 x4 - 2x3 + 7x2 + 21x + 63 \( 3^{2}\cdot 7^{2}\cdot 19^{2} \) $A_4$ (as 4T4) $[4]$
4.0.162409.1 x4 - x3 - 6x2 + 7x + 18 \( 13^{2}\cdot 31^{2} \) $A_4$ (as 4T4) $[4]$
4.4.165649.1 x4 - 2x3 - 9x2 - x + 3 \( 11^{2}\cdot 37^{2} \) $A_4$ (as 4T4) Trivial
4.0.190096.1 x4 - 2x3 + 5x2 + 4x + 5 \( 2^{4}\cdot 109^{2} \) $A_4$ (as 4T4) $[2]$
4.0.205209.1 x4 - x3 + 4x2 - 3x + 12 \( 3^{2}\cdot 151^{2} \) $A_4$ (as 4T4) $[8]$
4.0.219024.1 x4 - 2x3 + 3x2 + 6x + 6 \( 2^{4}\cdot 3^{4}\cdot 13^{2} \) $A_4$ (as 4T4) $[4]$
4.4.223729.1 x4 - x3 - 16x2 - 7x + 27 \( 11^{2}\cdot 43^{2} \) $A_4$ (as 4T4) Trivial
4.0.227529.1 x4 - x3 + 3x2 - 8x + 11 \( 3^{4}\cdot 53^{2} \) $A_4$ (as 4T4) $[2]$
4.0.238144.1 x4 - 2x3 + 14x2 - 4x + 6 \( 2^{6}\cdot 61^{2} \) $A_4$ (as 4T4) Trivial
4.0.246016.1 x4 + 2x2 - 4x + 10 \( 2^{8}\cdot 31^{2} \) $A_4$ (as 4T4) $[2, 2]$
4.0.246016.2 x4 + 10x2 - 4x + 2 \( 2^{8}\cdot 31^{2} \) $A_4$ (as 4T4) $[2, 2]$
4.0.247009.1 x4 - x3 + 9x + 10 \( 7^{2}\cdot 71^{2} \) $A_4$ (as 4T4) $[4]$
4.0.254016.1 x4 - 12x2 - 8x + 72 \( 2^{6}\cdot 3^{4}\cdot 7^{2} \) $A_4$ (as 4T4) Trivial
4.0.254016.2 x4 - 6x2 - 8x + 60 \( 2^{6}\cdot 3^{4}\cdot 7^{2} \) $A_4$ (as 4T4) $[2]$
4.0.254016.3 x4 + 18x2 - 8x + 120 \( 2^{6}\cdot 3^{4}\cdot 7^{2} \) $A_4$ (as 4T4) $[4]$
4.0.258064.1 x4 - 2x3 + 10x2 - 4x + 36 \( 2^{4}\cdot 127^{2} \) $A_4$ (as 4T4) $[2]$
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