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Label Polynomial Discriminant Galois group Class group
4.2.448.1 x4 - 2x3 + x2 - 2x + 1 \( -\,2^{6}\cdot 7 \) $D_{4}$ (as 4T3) trivial
4.0.576.2 x4 + 2x2 + 4 \( 2^{6}\cdot 3^{2} \) $C_2^2$ (as 4T2) trivial
4.2.1472.2 x4 - 2x3 + 3x2 - 2x - 1 \( -\,2^{6}\cdot 23 \) $D_{4}$ (as 4T3) trivial
4.4.1600.1 x4 - 6x2 + 4 \( 2^{6}\cdot 5^{2} \) $C_2^2$ (as 4T2) trivial
4.4.2624.1 x4 - 2x3 - 3x2 + 2x + 1 \( 2^{6}\cdot 41 \) $D_{4}$ (as 4T3) trivial
4.2.4544.1 x4 - 2x3 + x2 - 6x - 1 \( -\,2^{6}\cdot 71 \) $D_{4}$ (as 4T3) trivial
4.0.4672.2 x4 - 2x3 + 5x2 - 2x + 7 \( 2^{6}\cdot 73 \) $D_{4}$ (as 4T3) trivial
4.0.5696.1 x4 - 2x3 + 7x2 - 6x + 7 \( 2^{6}\cdot 89 \) $D_{4}$ (as 4T3) trivial
4.2.6592.1 x4 - 2x3 - x2 + 2x - 7 \( -\,2^{6}\cdot 103 \) $D_{4}$ (as 4T3) trivial
4.2.7616.1 x4 - 2x3 + 3x2 - 2x - 7 \( -\,2^{6}\cdot 7\cdot 17 \) $D_{4}$ (as 4T3) trivial
4.2.7616.2 x4 - 2x3 + 5x2 + 6x - 9 \( -\,2^{6}\cdot 7\cdot 17 \) $D_{4}$ (as 4T3) trivial
4.0.7744.2 x4 - 2x3 + 3x2 - 2x + 23 \( 2^{6}\cdot 11^{2} \) $C_2^2$ (as 4T2) trivial
4.4.8768.1 x4 - 2x3 - 5x2 + 6x + 7 \( 2^{6}\cdot 137 \) $D_{4}$ (as 4T3) trivial
4.2.9664.1 x4 - 2x3 - 3x2 - 6x - 7 \( -\,2^{6}\cdot 151 \) $D_{4}$ (as 4T3) trivial
4.4.9792.1 x4 - 2x3 - 7x2 + 2x + 7 \( 2^{6}\cdot 3^{2}\cdot 17 \) $D_{4}$ (as 4T3) trivial
4.2.10688.1 x4 - 2x3 + 7x2 - 6x - 9 \( -\,2^{6}\cdot 167 \) $D_{4}$ (as 4T3) trivial
4.4.10816.1 x4 - 2x3 - 9x2 + 10x - 1 \( 2^{6}\cdot 13^{2} \) $C_2^2$ (as 4T2) trivial
4.2.12736.2 x4 - 2x3 + x2 - 10x - 7 \( -\,2^{6}\cdot 199 \) $D_{4}$ (as 4T3) trivial
4.0.13888.1 x4 - 2x3 + 9x2 - 2x + 17 \( 2^{6}\cdot 7\cdot 31 \) $D_{4}$ (as 4T3) $[2]$
4.4.13888.1 x4 - 2x3 - 7x2 + 6x + 9 \( 2^{6}\cdot 7\cdot 31 \) $D_{4}$ (as 4T3) trivial
4.0.14400.5 x4 - 2x3 + 11x2 - 10x + 55 \( 2^{6}\cdot 3^{2}\cdot 5^{2} \) $C_2^2$ (as 4T2) $[4]$
4.0.14400.7 x4 + 10x2 + 100 \( 2^{6}\cdot 3^{2}\cdot 5^{2} \) $C_2^2$ (as 4T2) $[4]$
4.0.14912.2 x4 - 2x3 + 11x2 - 10x + 17 \( 2^{6}\cdot 233 \) $D_{4}$ (as 4T3) trivial
4.2.16832.1 x4 - 2x3 - x2 + 2x - 17 \( -\,2^{6}\cdot 263 \) $D_{4}$ (as 4T3) trivial
4.2.17856.3 x4 - 2x3 + 3x2 - 2x - 17 \( -\,2^{6}\cdot 3^{2}\cdot 31 \) $D_{4}$ (as 4T3) trivial
4.0.17984.1 x4 - 2x3 + 9x2 - 6x + 23 \( 2^{6}\cdot 281 \) $D_{4}$ (as 4T3) trivial
4.0.19008.2 x4 - 12x + 15 \( 2^{6}\cdot 3^{3}\cdot 11 \) $D_{4}$ (as 4T3) $[2]$
4.2.19904.1 x4 - 2x3 + 5x2 + 10x - 23 \( -\,2^{6}\cdot 311 \) $D_{4}$ (as 4T3) trivial
4.4.20032.1 x4 - 2x3 - 9x2 + 10x + 17 \( 2^{6}\cdot 313 \) $D_{4}$ (as 4T3) trivial
4.0.21056.1 x4 - 2x3 + 11x2 - 10x + 23 \( 2^{6}\cdot 7\cdot 47 \) $D_{4}$ (as 4T3) $[2]$
4.4.21056.1 x4 - 2x3 - 11x2 + 2x + 17 \( 2^{6}\cdot 7\cdot 47 \) $D_{4}$ (as 4T3) trivial
4.2.22976.1 x4 - 2x3 + 9x2 + 10x - 25 \( -\,2^{6}\cdot 359 \) $D_{4}$ (as 4T3) trivial
4.0.23104.3 x4 - 2x3 + 7x2 - 6x + 47 \( 2^{6}\cdot 19^{2} \) $C_2^2$ (as 4T2) $[3]$
4.2.24000.1 x4 - 2x3 - x2 + 2x - 9 \( -\,2^{6}\cdot 3\cdot 5^{3} \) $D_{4}$ (as 4T3) $[2]$
4.2.25024.1 x4 - 2x3 + x2 - 14x - 17 \( -\,2^{6}\cdot 17\cdot 23 \) $D_{4}$ (as 4T3) trivial
4.2.25024.2 x4 - 2x3 + 7x2 - 6x - 23 \( -\,2^{6}\cdot 17\cdot 23 \) $D_{4}$ (as 4T3) trivial
4.4.26176.1 x4 - 2x3 - 9x2 + 10x + 23 \( 2^{6}\cdot 409 \) $D_{4}$ (as 4T3) trivial
4.2.27072.3 x4 - 2x3 - 7x2 - 10x - 23 \( -\,2^{6}\cdot 3^{2}\cdot 47 \) $D_{4}$ (as 4T3) trivial
4.0.27200.2 x4 - 2x3 + 13x2 - 2x + 31 \( 2^{6}\cdot 5^{2}\cdot 17 \) $D_{4}$ (as 4T3) $[2]$
4.2.28096.2 x4 - 2x3 + 11x2 - 10x - 25 \( -\,2^{6}\cdot 439 \) $D_{4}$ (as 4T3) trivial
4.0.28224.1 x4 + 10x2 + 4 \( 2^{6}\cdot 3^{2}\cdot 7^{2} \) $C_2^2$ (as 4T2) $[4]$
4.4.28224.2 x4 - 2x3 - 13x2 + 14x + 7 \( 2^{6}\cdot 3^{2}\cdot 7^{2} \) $C_2^2$ (as 4T2) trivial
4.0.28224.5 x4 - 14x2 + 196 \( 2^{6}\cdot 3^{2}\cdot 7^{2} \) $C_2^2$ (as 4T2) $[4]$
4.4.29248.1 x4 - 2x3 - 11x2 + 6x + 23 \( 2^{6}\cdot 457 \) $D_{4}$ (as 4T3) trivial
4.2.31168.1 x4 - 2x3 - x2 + 2x - 31 \( -\,2^{6}\cdot 487 \) $D_{4}$ (as 4T3) trivial
4.2.32192.3 x4 - 2x3 + 3x2 - 2x - 31 \( -\,2^{6}\cdot 503 \) $D_{4}$ (as 4T3) trivial
4.0.32832.3 x4 - 30x2 + 228 \( 2^{6}\cdot 3^{3}\cdot 19 \) $D_{4}$ (as 4T3) $[2]$
4.4.33344.1 x4 - 2x3 - 11x2 + 10x + 25 \( 2^{6}\cdot 521 \) $D_{4}$ (as 4T3) trivial
4.0.35392.1 x4 - 2x3 + 13x2 - 6x + 41 \( 2^{6}\cdot 7\cdot 79 \) $D_{4}$ (as 4T3) $[2]$
4.4.35392.1 x4 - 2x3 - 13x2 + 14x + 31 \( 2^{6}\cdot 7\cdot 79 \) $D_{4}$ (as 4T3) trivial
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