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Results (displaying matches 1-50 of at least 1000) Next
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 4.0.54025.1 | x4 - x3 + 23x2 - 12x + 144 | \( 5^{2}\cdot 2161 \) | $D_{4}$ (as 4T3) | $[11]$ |
| 4.0.57025.1 | x4 - 2x3 + 27x2 - 26x + 149 | \( 5^{2}\cdot 2281 \) | $D_{4}$ (as 4T3) | $[11]$ |
| 4.0.61504.3 | x4 - 2x3 + 13x2 - 12x + 98 | \( 2^{6}\cdot 31^{2} \) | $C_2^2$ (as 4T2) | $[12]$ |
| 4.0.63025.1 | x4 - 2x3 + 27x2 - 26x + 164 | \( 5^{2}\cdot 2521 \) | $D_{4}$ (as 4T3) | $[11]$ |
| 4.0.64576.2 | x4 - 2x3 + 21x2 - 20x + 68 | \( 2^{6}\cdot 1009 \) | $D_{4}$ (as 4T3) | $[13]$ |
| 4.0.65025.2 | x4 - x2 + 64 | \( 3^{2}\cdot 5^{2}\cdot 17^{2} \) | $C_2^2$ (as 4T2) | $[12]$ |
| 4.0.65025.3 | x4 + 23x2 + 196 | \( 3^{2}\cdot 5^{2}\cdot 17^{2} \) | $C_2^2$ (as 4T2) | $[12]$ |
| 4.0.65025.4 | x4 - x3 + 22x2 + 21x + 441 | \( 3^{2}\cdot 5^{2}\cdot 17^{2} \) | $C_2^2$ (as 4T2) | $[12]$ |
| 4.0.67581.1 | x4 - x3 + 9x2 - 2x + 8 | \( 3^{3}\cdot 2503 \) | $S_4$ (as 4T5) | $[11]$ |
| 4.0.67648.1 | x4 - 2x3 + 25x2 - 24x + 72 | \( 2^{6}\cdot 7\cdot 151 \) | $D_{4}$ (as 4T3) | $[12]$ |
| 4.0.69025.1 | x4 - 2x3 + 31x2 - 30x + 180 | \( 5^{2}\cdot 11\cdot 251 \) | $D_{4}$ (as 4T3) | $[12]$ |
| 4.0.69264.4 | x4 + 19x2 - 30x + 46 | \( 2^{4}\cdot 3^{2}\cdot 13\cdot 37 \) | $D_{4}$ (as 4T3) | $[12]$ |
| 4.0.76025.1 | x4 - x3 + 28x2 - 7x + 199 | \( 5^{2}\cdot 3041 \) | $D_{4}$ (as 4T3) | $[11]$ |
| 4.0.76176.2 | x4 - 2x3 + 7x2 - 6x + 78 | \( 2^{4}\cdot 3^{2}\cdot 23^{2} \) | $C_2^2$ (as 4T2) | $[2, 6]$ |
| 4.0.78912.1 | x4 - 2x3 + 21x2 - 20x + 82 | \( 2^{6}\cdot 3^{2}\cdot 137 \) | $D_{4}$ (as 4T3) | $[14]$ |
| 4.0.79025.2 | x4 - x3 + 28x2 - 17x + 209 | \( 5^{2}\cdot 29\cdot 109 \) | $D_{4}$ (as 4T3) | $[12]$ |
| 4.0.82953.2 | x4 - x3 + 46x2 - 9x + 567 | \( 3^{2}\cdot 13\cdot 709 \) | $D_{4}$ (as 4T3) | $[12]$ |
| 4.0.83008.2 | x4 - 2x3 + 19x2 - 12x + 92 | \( 2^{6}\cdot 1297 \) | $D_{4}$ (as 4T3) | $[15]$ |
| 4.0.84025.1 | x4 - x3 + 29x2 - 10x + 220 | \( 5^{2}\cdot 3361 \) | $D_{4}$ (as 4T3) | $[13]$ |
| 4.0.86132.1 | x4 - x3 + 7x2 - 7x + 6 | \( 2^{2}\cdot 61\cdot 353 \) | $S_4$ (as 4T5) | $[11]$ |
| 4.0.87025.1 | x4 + 27x2 + 256 | \( 5^{2}\cdot 59^{2} \) | $C_2^2$ (as 4T2) | $[12]$ |
| 4.0.87104.2 | x4 - 2x3 + 19x2 - 16x + 98 | \( 2^{6}\cdot 1361 \) | $D_{4}$ (as 4T3) | $[11]$ |
| 4.0.89152.1 | x4 - 2x3 + 21x2 - 20x + 92 | \( 2^{6}\cdot 7\cdot 199 \) | $D_{4}$ (as 4T3) | $[12]$ |
| 4.0.89401.1 | x4 + 5x2 + 81 | \( 13^{2}\cdot 23^{2} \) | $C_2^2$ (as 4T2) | $[12]$ |
| 4.0.93248.1 | x4 - 2x3 + 29x2 - 28x + 98 | \( 2^{6}\cdot 31\cdot 47 \) | $D_{4}$ (as 4T3) | $[14]$ |
| 4.0.93456.1 | x4 + 13x2 - 12x + 52 | \( 2^{4}\cdot 3^{2}\cdot 11\cdot 59 \) | $D_{4}$ (as 4T3) | $[14]$ |
| 4.0.94013.1 | x4 - x3 - 8x2 + 13x + 35 | \( 41\cdot 2293 \) | $S_4$ (as 4T5) | $[11]$ |
| 4.0.94025.1 | x4 - x3 + 33x2 - 2x + 244 | \( 5^{2}\cdot 3761 \) | $D_{4}$ (as 4T3) | $[11]$ |
| 4.0.94156.1 | x4 - x3 + 2x2 - 5x + 39 | \( 2^{2}\cdot 23539 \) | $S_4$ (as 4T5) | $[11]$ |
| 4.0.94740.1 | x4 - 4x2 - 14x + 29 | \( 2^{2}\cdot 3\cdot 5\cdot 1579 \) | $S_4$ (as 4T5) | $[11]$ |
| 4.0.95296.1 | x4 - 2x3 + 21x2 - 20x + 98 | \( 2^{6}\cdot 1489 \) | $D_{4}$ (as 4T3) | $[13]$ |
| 4.0.97344.2 | x4 + 10x2 + 64 | \( 2^{6}\cdot 3^{2}\cdot 13^{2} \) | $C_2^2$ (as 4T2) | $[12]$ |
| 4.0.97344.6 | x4 - 26x2 + 676 | \( 2^{6}\cdot 3^{2}\cdot 13^{2} \) | $C_2^2$ (as 4T2) | $[2, 6]$ |
| 4.0.99856.1 | x4 - 39x2 + 400 | \( 2^{4}\cdot 79^{2} \) | $C_2^2$ (as 4T2) | $[15]$ |
| 4.0.101569.1 | x4 - x3 + 17x2 + 16x + 48 | \( 13^{2}\cdot 601 \) | $D_{4}$ (as 4T3) | $[13]$ |
| 4.0.102976.1 | x4 - 2x3 - 13x2 - 4x + 114 | \( 2^{6}\cdot 1609 \) | $D_{4}$ (as 4T3) | $[11]$ |
| 4.0.103832.1 | x4 - x3 + 6x2 + 6x + 8 | \( 2^{3}\cdot 12979 \) | $S_4$ (as 4T5) | $[11]$ |
| 4.0.104000.2 | x4 - 2x3 + 9x2 - 8x + 6 | \( 2^{6}\cdot 5^{3}\cdot 13 \) | $D_{4}$ (as 4T3) | $[12]$ |
| 4.0.104512.1 | x4 - 2x3 + 23x2 - 8x + 112 | \( 2^{6}\cdot 23\cdot 71 \) | $D_{4}$ (as 4T3) | $[16]$ |
| 4.0.104980.1 | x4 - 2x3 + 10x2 - 4x + 15 | \( 2^{2}\cdot 5\cdot 29\cdot 181 \) | $S_4$ (as 4T5) | $[11]$ |
| 4.0.105633.2 | x4 - x3 + 7x2 + 9x + 48 | \( 3^{2}\cdot 11^{2}\cdot 97 \) | $D_{4}$ (as 4T3) | $[14]$ |
| 4.0.105641.1 | x4 + 11x2 - 24x + 20 | \( 149\cdot 709 \) | $S_4$ (as 4T5) | $[11]$ |
| 4.0.106025.1 | x4 - x3 + 34x2 - 5x + 275 | \( 5^{2}\cdot 4241 \) | $D_{4}$ (as 4T3) | $[13]$ |
| 4.0.106932.1 | x4 - x3 + 5x2 + 3x + 6 | \( 2^{2}\cdot 3\cdot 7\cdot 19\cdot 67 \) | $S_4$ (as 4T5) | $[11]$ |
| 4.0.106956.2 | x4 - x3 + 10x2 - 6x + 12 | \( 2^{2}\cdot 3^{2}\cdot 2971 \) | $S_4$ (as 4T5) | $[12]$ |
| 4.0.108025.1 | x4 - x3 + 33x2 - 22x + 284 | \( 5^{2}\cdot 29\cdot 149 \) | $D_{4}$ (as 4T3) | $[16]$ |
| 4.0.108025.2 | x4 - 2x3 + 37x2 - 36x + 279 | \( 5^{2}\cdot 29\cdot 149 \) | $D_{4}$ (as 4T3) | $[12]$ |
| 4.0.108225.1 | x4 - x3 - 53x2 + 36x + 756 | \( 3^{2}\cdot 5^{2}\cdot 13\cdot 37 \) | $D_{4}$ (as 4T3) | $[2, 6]$ |
| 4.0.108400.1 | x4 + 33x2 + 271 | \( 2^{4}\cdot 5^{2}\cdot 271 \) | $D_{4}$ (as 4T3) | $[12]$ |
| 4.0.108608.1 | x4 - 2x3 + 25x2 - 24x + 112 | \( 2^{6}\cdot 1697 \) | $D_{4}$ (as 4T3) | $[11]$ |
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