## Results (1-50 of at least 1000)

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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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