Note: Search results may be incomplete due to uncomputed quantities: Class number (201181 objects)
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Results (13 matches)
Download displayed columns for resultsLabel | Polynomial | Discriminant | Galois group | Class group |
---|---|---|---|---|
23.1.240...343.1 | $x^{23} + 4 x - 1$ | $-\,3\cdot 307\cdot 34500939701\cdot 12135377781337\cdot 62306724912060059$ | $S_{23}$ (as 23T7) | $[2]$ |
23.1.269...912.1 | $x^{23} + 6 x - 2$ | $-\,2^{22}\cdot 7\cdot 1159777\cdot 79\!\cdots\!77$ | $S_{23}$ (as 23T7) | $[2]$ |
23.1.103...431.1 | $x^{23} + 7 x - 1$ | $-\,3\cdot 6703\cdot 150323\cdot 336703\cdot 2064983\cdot 15389967836821\cdot 32099206866877$ | $S_{23}$ (as 23T7) | $[2]$ |
23.1.806...455.1 | $x^{23} + 8 x - 1$ | $-\,5\cdot 223\cdot 30517\cdot 6961609510848297089\cdot 34033162382566428614809$ | $S_{23}$ (as 23T7) | $[2]$ |
23.1.201...176.1 | $x^{23} + 8 x - 2$ | $-\,2^{22}\cdot 43724762009\cdot 10\!\cdots\!91$ | $S_{23}$ (as 23T7) | $[2]$ |
23.1.153...776.1 | $x^{23} - 7 x - 8$ | $-\,2^{22}\cdot 394418287\cdot 505548401\cdot 1831041631060267201664708687$ | $S_{23}$ (as 23T7) | $[2]$ |
23.1.154...672.1 | $x^{23} + x - 8$ | $-\,2^{22}\cdot 3\cdot 1567\cdot 12054227281324133\cdot 6482319170855372267400121$ | $S_{23}$ (as 23T7) | $[2]$ |
23.1.302...103.1 | $x^{23} + 9 x - 1$ | $-\,41\cdot 14110054979\cdot 52\!\cdots\!77$ | $S_{23}$ (as 23T7) | $[2]$ |
23.1.456...624.1 | $x^{23} + 9 x - 8$ | $-\,2^{22}\cdot 31\cdot 509\cdot 69\!\cdots\!39$ | $S_{23}$ (as 23T7) | $[2]$ |
23.1.203...719.1 | $x^{23} - 8 x - 9$ | $-\,7\cdot 63181574413\cdot 19493497179268857581\cdot 2361671288889146742089$ | $S_{23}$ (as 23T7) | $[2]$ |
23.1.205...751.1 | $x^{23} - 4 x - 9$ | $-\,73\cdot 631\cdot 44\!\cdots\!77$ | $S_{23}$ (as 23T7) | $[2]$ |
23.1.205...943.1 | $x^{23} - x - 9$ | $-\,7\cdot 1279\cdot 83459\cdot 894869\cdot 403408926044794937\cdot 76230489391070555353$ | $S_{23}$ (as 23T7) | $[2]$ |
23.1.205...303.1 | $x^{23} + 4 x - 9$ | $-\,3357289946486677753\cdot 61\!\cdots\!51$ | $S_{23}$ (as 23T7) | $[2]$ |