Note: Search results may be incomplete due to uncomputed quantities: Class number (201181 objects)
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Label | Polynomial | Discriminant | Galois group | Class group |
---|---|---|---|---|
2.0.167.1 | $x^{2} - x + 42$ | $-\,167$ | $C_2$ (as 2T1) | $[11]$ |
2.0.191.1 | $x^{2} - x + 48$ | $-\,191$ | $C_2$ (as 2T1) | $[13]$ |
2.0.215.1 | $x^{2} - x + 54$ | $-\,5\cdot 43$ | $C_2$ (as 2T1) | $[14]$ |
2.0.231.1 | $x^{2} - x + 58$ | $-\,3\cdot 7\cdot 11$ | $C_2$ (as 2T1) | $[2, 6]$ |
2.0.239.1 | $x^{2} - x + 60$ | $-\,239$ | $C_2$ (as 2T1) | $[15]$ |
2.0.255.1 | $x^{2} - x + 64$ | $-\,3\cdot 5\cdot 17$ | $C_2$ (as 2T1) | $[2, 6]$ |
2.0.263.1 | $x^{2} - x + 66$ | $-\,263$ | $C_2$ (as 2T1) | $[13]$ |
2.0.271.1 | $x^{2} - x + 68$ | $-\,271$ | $C_2$ (as 2T1) | $[11]$ |
2.0.287.1 | $x^{2} - x + 72$ | $-\,7\cdot 41$ | $C_2$ (as 2T1) | $[14]$ |
2.0.311.1 | $x^{2} - x + 78$ | $-\,311$ | $C_2$ (as 2T1) | $[19]$ |
2.0.327.1 | $x^{2} - x + 82$ | $-\,3\cdot 109$ | $C_2$ (as 2T1) | $[12]$ |
2.0.335.1 | $x^{2} - x + 84$ | $-\,5\cdot 67$ | $C_2$ (as 2T1) | $[18]$ |
2.0.356.1 | $x^{2} + 89$ | $-\,2^{2}\cdot 89$ | $C_2$ (as 2T1) | $[12]$ |
2.0.359.1 | $x^{2} - x + 90$ | $-\,359$ | $C_2$ (as 2T1) | $[19]$ |
2.0.383.1 | $x^{2} - x + 96$ | $-\,383$ | $C_2$ (as 2T1) | $[17]$ |
2.0.391.1 | $x^{2} - x + 98$ | $-\,17\cdot 23$ | $C_2$ (as 2T1) | $[14]$ |
2.0.399.1 | $x^{2} - x + 100$ | $-\,3\cdot 7\cdot 19$ | $C_2$ (as 2T1) | $[2, 8]$ |
2.0.404.1 | $x^{2} + 101$ | $-\,2^{2}\cdot 101$ | $C_2$ (as 2T1) | $[14]$ |
2.0.407.1 | $x^{2} - x + 102$ | $-\,11\cdot 37$ | $C_2$ (as 2T1) | $[16]$ |
2.0.431.1 | $x^{2} - x + 108$ | $-\,431$ | $C_2$ (as 2T1) | $[21]$ |
2.0.439.1 | $x^{2} - x + 110$ | $-\,439$ | $C_2$ (as 2T1) | $[15]$ |
2.0.440.1 | $x^{2} + 110$ | $-\,2^{3}\cdot 5\cdot 11$ | $C_2$ (as 2T1) | $[2, 6]$ |
2.0.447.1 | $x^{2} - x + 112$ | $-\,3\cdot 149$ | $C_2$ (as 2T1) | $[14]$ |
2.0.455.1 | $x^{2} - x + 114$ | $-\,5\cdot 7\cdot 13$ | $C_2$ (as 2T1) | $[2, 10]$ |
2.0.471.1 | $x^{2} - x + 118$ | $-\,3\cdot 157$ | $C_2$ (as 2T1) | $[16]$ |
2.0.479.1 | $x^{2} - x + 120$ | $-\,479$ | $C_2$ (as 2T1) | $[25]$ |
2.0.503.1 | $x^{2} - x + 126$ | $-\,503$ | $C_2$ (as 2T1) | $[21]$ |
2.0.511.1 | $x^{2} - x + 128$ | $-\,7\cdot 73$ | $C_2$ (as 2T1) | $[14]$ |
2.0.516.1 | $x^{2} + 129$ | $-\,2^{2}\cdot 3\cdot 43$ | $C_2$ (as 2T1) | $[2, 6]$ |
2.0.519.1 | $x^{2} - x + 130$ | $-\,3\cdot 173$ | $C_2$ (as 2T1) | $[18]$ |
2.0.527.1 | $x^{2} - x + 132$ | $-\,17\cdot 31$ | $C_2$ (as 2T1) | $[18]$ |
2.0.535.1 | $x^{2} - x + 134$ | $-\,5\cdot 107$ | $C_2$ (as 2T1) | $[14]$ |
2.0.536.1 | $x^{2} + 134$ | $-\,2^{3}\cdot 67$ | $C_2$ (as 2T1) | $[14]$ |
2.0.543.1 | $x^{2} - x + 136$ | $-\,3\cdot 181$ | $C_2$ (as 2T1) | $[12]$ |
2.0.551.1 | $x^{2} - x + 138$ | $-\,19\cdot 29$ | $C_2$ (as 2T1) | $[26]$ |
2.0.559.1 | $x^{2} - x + 140$ | $-\,13\cdot 43$ | $C_2$ (as 2T1) | $[16]$ |
2.0.584.1 | $x^{2} + 146$ | $-\,2^{3}\cdot 73$ | $C_2$ (as 2T1) | $[16]$ |
2.0.591.1 | $x^{2} - x + 148$ | $-\,3\cdot 197$ | $C_2$ (as 2T1) | $[22]$ |
2.0.596.1 | $x^{2} + 149$ | $-\,2^{2}\cdot 149$ | $C_2$ (as 2T1) | $[14]$ |
2.0.599.1 | $x^{2} - x + 150$ | $-\,599$ | $C_2$ (as 2T1) | $[25]$ |
2.0.607.1 | $x^{2} - x + 152$ | $-\,607$ | $C_2$ (as 2T1) | $[13]$ |
2.0.615.1 | $x^{2} - x + 154$ | $-\,3\cdot 5\cdot 41$ | $C_2$ (as 2T1) | $[2, 10]$ |
2.0.623.1 | $x^{2} - x + 156$ | $-\,7\cdot 89$ | $C_2$ (as 2T1) | $[22]$ |
2.0.631.1 | $x^{2} - x + 158$ | $-\,631$ | $C_2$ (as 2T1) | $[13]$ |
2.0.644.1 | $x^{2} + 161$ | $-\,2^{2}\cdot 7\cdot 23$ | $C_2$ (as 2T1) | $[2, 8]$ |
2.0.647.1 | $x^{2} - x + 162$ | $-\,647$ | $C_2$ (as 2T1) | $[23]$ |
2.0.655.1 | $x^{2} - x + 164$ | $-\,5\cdot 131$ | $C_2$ (as 2T1) | $[12]$ |
2.0.659.1 | $x^{2} - x + 165$ | $-\,659$ | $C_2$ (as 2T1) | $[11]$ |
2.0.663.1 | $x^{2} - x + 166$ | $-\,3\cdot 13\cdot 17$ | $C_2$ (as 2T1) | $[2, 8]$ |
2.0.671.1 | $x^{2} - x + 168$ | $-\,11\cdot 61$ | $C_2$ (as 2T1) | $[30]$ |