Note: Search results may be incomplete due to uncomputed quantities: Class number (201181 objects)
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Results (32 matches)
Download displayed columns for resultsLabel | Polynomial | Discriminant | Galois group | Class group |
---|---|---|---|---|
23.3.121...973.1 | $x^{23} - 3 x^{21} - 6 x^{20} + x^{19} + 17 x^{18} + 18 x^{17} - 10 x^{16} - 43 x^{15} - 25 x^{14} + 33 x^{13} + 60 x^{12} + 11 x^{11} - 54 x^{10} - 47 x^{9} + 12 x^{8} + 44 x^{7} + 15 x^{6} - 17 x^{5} - 16 x^{4} + 6 x^{2} + x - 1$ | $7\cdot 41\cdot 599\cdot 7069315563547560848845133621$ | $S_{23}$ (as 23T7) | trivial |
23.3.961...453.1 | $x^{23} - x^{22} - x^{21} - x^{20} + x^{19} + 8 x^{18} - 3 x^{17} - 9 x^{16} - 6 x^{15} + 5 x^{14} + 23 x^{13} - x^{12} - 23 x^{11} - 13 x^{10} + 12 x^{9} + 27 x^{8} - 3 x^{7} - 20 x^{6} - 6 x^{5} + 9 x^{4} + 7 x^{3} - 4 x^{2} - 2 x + 1$ | $19\cdot 28201\cdot 55057\cdot 3258654194756619414566191$ | $S_{23}$ (as 23T7) | trivial |
23.3.321...401.1 | $x^{23} - 3 x - 1$ | $259028266789\cdot 124091112112198565028075828709$ | $S_{23}$ (as 23T7) | trivial |
23.3.240...408.1 | $x^{23} - 4 x - 2$ | $2^{22}\cdot 877\cdot 19001\cdot 19571\cdot 263933\cdot 66547926528717936307$ | $S_{23}$ (as 23T7) | trivial |
23.3.240...209.1 | $x^{23} - 4 x - 1$ | $79\cdot 30\!\cdots\!71$ | $S_{23}$ (as 23T7) | trivial |
23.3.480...184.1 | $x^{23} - 8 x - 4$ | $2^{22}\cdot 3\cdot 2377\cdot 111863\cdot 115741\cdot 198173\cdot 4489367\cdot 139474352947$ | $S_{23}$ (as 23T7) | trivial |
23.3.721...841.1 | $x^{23} - 9 x - 4$ | $29357399\cdot 2802945917\cdot 8767675026551455678892251027$ | $S_{23}$ (as 23T7) | trivial |
23.3.406...697.1 | $x^{23} - 5 x - 3$ | $210197102102168605537\cdot 19360315520206385014193681$ | $S_{23}$ (as 23T7) | trivial |
23.3.407...632.1 | $x^{23} - 5 x - 2$ | $2^{23}\cdot 3\cdot 16747\cdot 96\!\cdots\!19$ | $S_{23}$ (as 23T7) | trivial |
23.3.407...433.1 | $x^{23} - 5 x - 1$ | $3\cdot 251\cdot 37061\cdot 1703206550657\cdot 85630730582884052082230293$ | $S_{23}$ (as 23T7) | trivial |
23.3.673...168.1 | $x^{23} - 6 x - 4$ | $2^{42}\cdot 1213\cdot 25031\cdot 80799553\cdot 6239042049682651613$ | $S_{23}$ (as 23T7) | trivial |
23.3.269...241.1 | $x^{23} - 6 x - 3$ | $3^{22}\cdot 29\cdot 491\cdot 19934477530995439\cdot 30270857948592169$ | $S_{23}$ (as 23T7) | trivial |
23.3.269...176.1 | $x^{23} - 6 x - 2$ | $2^{22}\cdot 19\cdot 37\cdot 344047944109\cdot 265793000653027391320291747$ | $S_{23}$ (as 23T7) | trivial |
23.3.269...977.1 | $x^{23} - 6 x - 1$ | $3449\cdot 9967345151\cdot 1056281512820207\cdot 7425494255063859089$ | $S_{23}$ (as 23T7) | trivial |
23.3.233...736.1 | $x^{23} - 7 x - 2$ | $2^{23}\cdot 541\cdot 51\!\cdots\!37$ | $S_{23}$ (as 23T7) | trivial |
23.3.929...937.1 | $x^{23} - 7 x - 5$ | $229\cdot 27997\cdot 6781098636069157\cdot 213789785909465552840708957$ | $S_{23}$ (as 23T7) | trivial |
23.3.934...440.1 | $x^{23} - 7 x - 4$ | $2^{22}\cdot 5\cdot 797\cdot 1117\cdot 1733\cdot 107123\cdot 138709907659\cdot 19435989258965663$ | $S_{23}$ (as 23T7) | trivial |
23.3.934...009.1 | $x^{23} - 7 x - 3$ | $181\cdot 51\!\cdots\!89$ | $S_{23}$ (as 23T7) | trivial |
23.3.934...745.1 | $x^{23} - 7 x - 1$ | $5\cdot 19\cdot 211\cdot 330347\cdot 1280131\cdot 11\!\cdots\!73$ | $S_{23}$ (as 23T7) | trivial |
23.3.223...160.1 | $x^{23} - 8 x - 2$ | $2^{22}\cdot 5\cdot 7\cdot 211\cdot 72\!\cdots\!29$ | $S_{23}$ (as 23T7) | trivial |
23.3.198...696.1 | $x^{23} - 8 x - 6$ | $2^{22}\cdot 17862914155103\cdot 26\!\cdots\!83$ | $S_{23}$ (as 23T7) | trivial |
23.3.201...433.1 | $x^{23} - 8 x - 5$ | $3\cdot 7\cdot 41\cdot 170908943\cdot 4352121637\cdot 314624419069868068094497723583$ | $S_{23}$ (as 23T7) | trivial |
23.3.201...505.1 | $x^{23} - 8 x - 3$ | $5\cdot 40\!\cdots\!01$ | $S_{23}$ (as 23T7) | trivial |
23.3.201...241.1 | $x^{23} - 8 x - 1$ | $3\cdot 103\cdot 24767\cdot 26\!\cdots\!47$ | $S_{23}$ (as 23T7) | trivial |
23.3.294...753.1 | $x^{23} - 9 x - 7$ | $191\cdot 42953\cdot 180300563316486553\cdot 1990559237888165571886856887$ | $S_{23}$ (as 23T7) | trivial |
23.3.302...424.1 | $x^{23} - 9 x - 6$ | $2^{23}\cdot 3^{22}\cdot 7\cdot 2699647\cdot 324329267\cdot 1873843928641659619$ | $S_{23}$ (as 23T7) | trivial |
23.3.302...161.1 | $x^{23} - 9 x - 5$ | $19\cdot 1571\cdot 28663\cdot 446863\cdot 546386660312214989\cdot 14485838402884945429$ | $S_{23}$ (as 23T7) | trivial |
23.3.302...233.1 | $x^{23} - 9 x - 3$ | $3^{22}\cdot 563\cdot 1663\cdot 14870740319\cdot 6925894270378748955660067$ | $S_{23}$ (as 23T7) | trivial |
23.3.302...168.1 | $x^{23} - 9 x - 2$ | $2^{23}\cdot 13\cdot 83\cdot 1093\cdot 64706587659437\cdot 4727120690565738876772139$ | $S_{23}$ (as 23T7) | trivial |
23.3.302...969.1 | $x^{23} - 9 x - 1$ | $7\cdot 468913\cdot 16626889561\cdot 55\!\cdots\!19$ | $S_{23}$ (as 23T7) | trivial |
23.3.823...336.1 | $x^{23} - 13248 x - 12672$ | $2^{26}\cdot 3^{22}\cdot 11^{22}\cdot 23^{24}$ | $A_{23}$ (as 23T6) | trivial |
23.3.131...376.1 | $x^{23} - 89424 x - 85536$ | $2^{30}\cdot 3^{22}\cdot 11^{22}\cdot 23^{24}$ | $A_{23}$ (as 23T6) | trivial |