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Label Polynomial Discriminant Galois group Class group
5.1.18496.1 x5 - x4 + 2x2 - 2x + 2 \( 2^{6}\cdot 17^{2} \) $A_5$ (as 5T4) Trivial
5.1.42849.1 x5 - x4 + x3 + 2x2 + x - 1 \( 3^{4}\cdot 23^{2} \) $A_5$ (as 5T4) Trivial
5.1.53824.1 x5 - 2x3 - 2x2 + 3x + 2 \( 2^{6}\cdot 29^{2} \) $A_5$ (as 5T4) Trivial
5.1.70225.1 x5 - 2x4 - x3 + 3x2 - x + 2 \( 5^{2}\cdot 53^{2} \) $A_5$ (as 5T4) Trivial
5.1.118336.2 x5 - 2x4 + 6x3 - 8x2 + 10x - 8 \( 2^{6}\cdot 43^{2} \) $A_5$ (as 5T4) Trivial
5.1.126025.1 x5 - x4 + 3x3 - 4x2 + 5x - 1 \( 5^{2}\cdot 71^{2} \) $A_5$ (as 5T4) Trivial
5.1.129600.1 x5 - 2x3 - 4x2 - 6x - 4 \( 2^{6}\cdot 3^{4}\cdot 5^{2} \) $A_5$ (as 5T4) Trivial
5.1.133225.1 x5 - 2x4 + x2 + 4x - 5 \( 5^{2}\cdot 73^{2} \) $A_5$ (as 5T4) Trivial
5.1.144400.1 x5 - x4 + 3x3 - 3x2 + 5x - 1 \( 2^{4}\cdot 5^{2}\cdot 19^{2} \) $A_5$ (as 5T4) Trivial
5.1.149769.1 x5 - 2x4 + x3 - 5x2 + x - 2 \( 3^{4}\cdot 43^{2} \) $A_5$ (as 5T4) Trivial
5.1.162409.1 x5 + 2x3 - 5x2 + 2x - 1 \( 13^{2}\cdot 31^{2} \) $A_5$ (as 5T4) Trivial
5.1.193600.1 x5 + 2x3 - 2x2 - x + 2 \( 2^{6}\cdot 5^{2}\cdot 11^{2} \) $A_5$ (as 5T4) Trivial
5.1.195364.1 x5 - 2x4 - 3x3 + 9x2 - 4x + 1 \( 2^{2}\cdot 13^{2}\cdot 17^{2} \) $A_5$ (as 5T4) Trivial
5.1.198025.1 x5 - x4 + 5x3 - x2 + 6x + 1 \( 5^{2}\cdot 89^{2} \) $A_5$ (as 5T4) Trivial
5.1.210681.1 x5 - 2x4 + 4x3 - 5x2 + 4x - 5 \( 3^{6}\cdot 17^{2} \) $A_5$ (as 5T4) Trivial
5.1.223729.1 x5 - 3x3 - 7x2 - 5x - 3 \( 11^{2}\cdot 43^{2} \) $A_5$ (as 5T4) Trivial
5.1.243049.1 x5 - x2 - 2x - 3 \( 17^{2}\cdot 29^{2} \) $A_5$ (as 5T4) Trivial
5.1.243049.2 x5 - x4 + 5x3 - 3x2 + 4x - 3 \( 17^{2}\cdot 29^{2} \) $A_5$ (as 5T4) Trivial
5.1.245025.1 x5 - 3x3 - 4x2 + 6x + 3 \( 3^{4}\cdot 5^{2}\cdot 11^{2} \) $A_5$ (as 5T4) Trivial
5.1.245025.2 x5 - x4 - 3x3 - 2x2 + 5x - 3 \( 3^{4}\cdot 5^{2}\cdot 11^{2} \) $A_5$ (as 5T4) Trivial
5.1.261121.1 x5 - 5x3 - x2 + 9x + 7 \( 7^{2}\cdot 73^{2} \) $A_5$ (as 5T4) Trivial
5.1.263169.1 x5 - x4 + x3 + 2x2 + x + 5 \( 3^{6}\cdot 19^{2} \) $A_5$ (as 5T4) Trivial
5.1.270400.1 x5 - 2x4 + 5x3 - 2x2 + 7x + 4 \( 2^{6}\cdot 5^{2}\cdot 13^{2} \) $A_5$ (as 5T4) Trivial
5.1.287296.1 x5 - x4 - x3 + 7x2 - 9x + 5 \( 2^{6}\cdot 67^{2} \) $A_5$ (as 5T4) Trivial
5.1.287296.2 x5 + 2x3 - 4x2 + 6x - 4 \( 2^{6}\cdot 67^{2} \) $A_5$ (as 5T4) $[3]$
5.1.329476.1 x5 - 2x4 - 5x3 + 2x2 + 4x - 4 \( 2^{2}\cdot 7^{2}\cdot 41^{2} \) $A_5$ (as 5T4) Trivial
5.1.341056.1 x5 + 2x3 - 4x2 - 2x + 4 \( 2^{6}\cdot 73^{2} \) $A_5$ (as 5T4) $[3]$
5.1.342225.1 x5 - x4 + x3 + 3x2 - 9 \( 3^{4}\cdot 5^{2}\cdot 13^{2} \) $A_5$ (as 5T4) Trivial
5.1.363609.1 x5 - 3x3 - 3x2 + 9x - 9 \( 3^{4}\cdot 67^{2} \) $A_5$ (as 5T4) Trivial
5.1.364816.1 x5 - 2x3 - 2x2 + 5x - 6 \( 2^{4}\cdot 151^{2} \) $A_5$ (as 5T4) Trivial
5.1.379456.1 x5 - x4 + 4x3 - 8x2 + x + 7 \( 2^{6}\cdot 7^{2}\cdot 11^{2} \) $A_5$ (as 5T4) Trivial
5.1.408321.1 x5 - x4 + x3 - 9x + 12 \( 3^{4}\cdot 71^{2} \) $A_5$ (as 5T4) Trivial
5.1.426409.1 x5 + 3x3 - 6x2 + 2x - 1 \( 653^{2} \) $A_5$ (as 5T4) $[3]$
5.1.430336.1 x5 - 2x4 + 8x3 - 12x2 + 17x - 14 \( 2^{8}\cdot 41^{2} \) $A_5$ (as 5T4) Trivial
5.1.444889.1 x5 - x4 + 2x3 - 3x2 - 6x + 8 \( 23^{2}\cdot 29^{2} \) $A_5$ (as 5T4) Trivial
5.1.446224.1 x5 - x4 - 5x3 + 5x2 + 5x - 9 \( 2^{4}\cdot 167^{2} \) $A_5$ (as 5T4) Trivial
5.1.462400.1 x5 - x4 - x3 - 5x2 + 9x - 1 \( 2^{6}\cdot 5^{2}\cdot 17^{2} \) $A_5$ (as 5T4) Trivial
5.1.465124.1 x5 - x4 + 5x3 + 2x2 - 10x - 6 \( 2^{2}\cdot 11^{2}\cdot 31^{2} \) $A_5$ (as 5T4) Trivial
5.1.484416.1 x5 - 2x4 + 8x3 - 16x2 + 28x - 8 \( 2^{6}\cdot 3^{2}\cdot 29^{2} \) $A_5$ (as 5T4) Trivial
5.1.498436.1 x5 + x3 - 5x2 - 4x - 7 \( 2^{2}\cdot 353^{2} \) $A_5$ (as 5T4) Trivial
5.1.529984.1 x5 + 6x3 - 10x2 + 7x - 2 \( 2^{6}\cdot 7^{2}\cdot 13^{2} \) $A_5$ (as 5T4) Trivial
5.1.544644.1 x5 + x3 - 3x2 + 3 \( 2^{2}\cdot 3^{4}\cdot 41^{2} \) $A_5$ (as 5T4) Trivial
5.1.544644.2 x5 - 2x4 + x3 + 5x2 - 10x - 13 \( 2^{2}\cdot 3^{4}\cdot 41^{2} \) $A_5$ (as 5T4) Trivial
5.1.570025.1 x5 - 3x3 - x2 + x - 3 \( 5^{2}\cdot 151^{2} \) $A_5$ (as 5T4) Trivial
5.1.588289.1 x5 - 2x4 - x3 + 4x2 + 2x - 15 \( 13^{2}\cdot 59^{2} \) $A_5$ (as 5T4) Trivial
5.1.613089.1 x5 - 2x4 + 4x3 - 3x2 + 6x - 3 \( 3^{6}\cdot 29^{2} \) $A_5$ (as 5T4) Trivial
5.1.616225.1 x5 - x4 - 5x3 + 6x2 + 13x - 1 \( 5^{2}\cdot 157^{2} \) $A_5$ (as 5T4) Trivial
5.1.617796.1 x5 + 3x3 - 8x2 + 12x - 12 \( 2^{2}\cdot 3^{2}\cdot 131^{2} \) $A_5$ (as 5T4) Trivial
5.1.627264.1 x5 - x4 - 4x3 + 9x - 9 \( 2^{6}\cdot 3^{4}\cdot 11^{2} \) $A_5$ (as 5T4) Trivial
5.1.627264.2 x5 - x4 - 5x3 + 11x2 - 11x + 11 \( 2^{6}\cdot 3^{4}\cdot 11^{2} \) $A_5$ (as 5T4) Trivial
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