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Note: Search results may be incomplete due to uncomputed quantities: Class number (201181 objects)

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Results (12 matches)

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Label Polynomial Discriminant Galois group Class group Regulator
23.23.611...809.1 $x^{23} - x^{22} - 22 x^{21} + 21 x^{20} + 210 x^{19} - 190 x^{18} - 1140 x^{17} + 969 x^{16} + 3876 x^{15} - 3060 x^{14} - 8568 x^{13} + 6188 x^{12} + 12376 x^{11} - 8008 x^{10} - 11440 x^{9} + 6435 x^{8} + 6435 x^{7} - 3003 x^{6} - 2002 x^{5} + 715 x^{4} + 286 x^{3} - 66 x^{2} - 12 x + 1$ $47^{22}$ $C_{23}$ (as 23T1) trivial $68215743661.4$
23.23.140...521.1 $x^{23} - x^{22} - 66 x^{21} + 147 x^{20} + 1630 x^{19} - 5648 x^{18} - 16457 x^{17} + 92686 x^{16} + 18441 x^{15} - 709360 x^{14} + 832638 x^{13} + 2239299 x^{12} - 5679764 x^{11} - 156443 x^{10} + 12673530 x^{9} - 11318727 x^{8} - 6468097 x^{7} + 14166332 x^{6} - 3186420 x^{5} - 5386949 x^{4} + 2918745 x^{3} + 436718 x^{2} - 516219 x + 63941$ $139^{22}$ $C_{23}$ (as 23T1) trivial $22066241000437346.10236048207$
23.23.126...657.1 $x^{23} - 11 x^{22} - 49 x^{21} + 847 x^{20} + 333 x^{19} - 27195 x^{18} + 26294 x^{17} + 472463 x^{16} - 807088 x^{15} - 4813093 x^{14} + 11025393 x^{13} + 28842666 x^{12} - 85904881 x^{11} - 92539623 x^{10} + 401542378 x^{9} + 86961683 x^{8} - 1107595373 x^{7} + 357772746 x^{6} + 1662322180 x^{5} - 1168158873 x^{4} - 1079773672 x^{3} + 1139070319 x^{2} + 85927891 x - 235248461$ $23593^{11}$ $D_{23}$ (as 23T2) trivial $122630019967000000$
23.23.208...000.1 $x^{23} - 115 x^{21} + 5750 x^{19} - 163875 x^{17} + 2932500 x^{15} - 34212500 x^{13} + 261625000 x^{11} - 1284765625 x^{9} + 3854296875 x^{7} - 6423828125 x^{5} + 4941406250 x^{3} - 1123046875 x - 218280250$ $2^{22}\cdot 5^{22}\cdot 23^{23}$ $F_{23}$ (as 23T4) trivial $108577580716000000000$
23.23.542...529.1 $x^{23} - x^{22} - 132 x^{21} + 269 x^{20} + 6722 x^{19} - 19118 x^{18} - 167488 x^{17} + 601226 x^{16} + 2127300 x^{15} - 9664345 x^{14} - 12698450 x^{13} + 83446410 x^{12} + 19888027 x^{11} - 390244377 x^{10} + 110929757 x^{9} + 994369765 x^{8} - 511651057 x^{7} - 1370318108 x^{6} + 775297206 x^{5} + 972267257 x^{4} - 466392148 x^{3} - 312747839 x^{2} + 85444683 x + 38737459$ $277^{22}$ $C_{23}$ (as 23T1) trivial $17443707994029808000$
23.23.399...721.1 $x^{23} - x^{22} - 220 x^{21} + 87 x^{20} + 19764 x^{19} + 7502 x^{18} - 942100 x^{17} - 1247222 x^{16} + 25503060 x^{15} + 62076437 x^{14} - 368245290 x^{13} - 1464919087 x^{12} + 1795768610 x^{11} + 16428532486 x^{10} + 16509241674 x^{9} - 60887740509 x^{8} - 181108379413 x^{7} - 148388500129 x^{6} + 88587002490 x^{5} + 252590462192 x^{4} + 171337144724 x^{3} + 31220491402 x^{2} - 10221385976 x - 3012210881$ $461^{22}$ $C_{23}$ (as 23T1) trivial $5504325396653325000000$
23.23.824...241.1 $x^{23} - 253 x^{21} - 161 x^{20} + 26335 x^{19} + 33028 x^{18} - 1467515 x^{17} - 2734079 x^{16} + 47658093 x^{15} + 118763283 x^{14} - 910024555 x^{13} - 2931964974 x^{12} + 9516128606 x^{11} + 41347298260 x^{10} - 39738537224 x^{9} - 313669878607 x^{8} - 104709853475 x^{7} + 1076728692839 x^{6} + 1230914947669 x^{5} - 913297744524 x^{4} - 1823221987393 x^{3} - 124828056170 x^{2} + 645413252986 x + 157112485811$ $23^{44}$ $C_{23}$ (as 23T1) trivial $26795387302400000000000$
23.23.126...801.1 $x^{23} - x^{22} - 286 x^{21} + 61 x^{20} + 32489 x^{19} + 14967 x^{18} - 1928206 x^{17} - 2239956 x^{16} + 65439786 x^{15} + 128285990 x^{14} - 1279328514 x^{13} - 3758213062 x^{12} + 12892455511 x^{11} + 58719404143 x^{10} - 31105194350 x^{9} - 448954503771 x^{8} - 491325793721 x^{7} + 1084631540509 x^{6} + 3053149451318 x^{5} + 2305895458302 x^{4} - 281144721703 x^{3} - 1007901237378 x^{2} - 154197339893 x + 118359867167$ $599^{22}$ $C_{23}$ (as 23T1) trivial $342364856486088370000000$
23.23.281...792.1 $x^{23} - 299 x^{21} + 38870 x^{19} - 2880267 x^{17} + 134008212 x^{15} - 4064915764 x^{13} + 80820089896 x^{11} - 1031899362065 x^{9} + 8048815024107 x^{7} - 34878198437797 x^{5} + 69756396875594 x^{3} - 41219689062851 x - 12722733426052$ $2^{22}\cdot 13^{22}\cdot 23^{23}$ $F_{23}$ (as 23T4) trivial $3930853533530000000000000$
23.23.294...281.1 $x^{23} - x^{22} - 330 x^{21} + 491 x^{20} + 46010 x^{19} - 87998 x^{18} - 3534734 x^{17} + 8097381 x^{16} + 163274386 x^{15} - 432276476 x^{14} - 4617725871 x^{13} + 13958868541 x^{12} + 76934101895 x^{11} - 269759119969 x^{10} - 654647210801 x^{9} + 2901393808025 x^{8} + 1396549312920 x^{7} - 14112769866979 x^{6} + 10842020004862 x^{5} + 12214116095559 x^{4} - 17293268074281 x^{3} + 3381350907752 x^{2} + 1669609496979 x - 220900980203$ $691^{22}$ $C_{23}$ (as 23T1) trivial $921008224906832800000000$
23.23.161...641.1 $x^{23} - x^{22} - 396 x^{21} + 517 x^{20} + 58242 x^{19} - 89048 x^{18} - 4136665 x^{17} + 6675371 x^{16} + 155317993 x^{15} - 248917597 x^{14} - 3168505860 x^{13} + 4803054368 x^{12} + 34789513687 x^{11} - 47690452504 x^{10} - 193631555469 x^{9} + 225956060874 x^{8} + 483028561517 x^{7} - 415966978205 x^{6} - 465412635150 x^{5} + 267147031000 x^{4} + 115014666875 x^{3} - 62643096875 x^{2} - 1127109375 x + 2017578125$ $829^{22}$ $C_{23}$ (as 23T1) trivial $1001378635833781400000000000$
23.23.477...489.1 $x^{23} - x^{22} - 462 x^{21} + 519 x^{20} + 78046 x^{19} - 96292 x^{18} - 6163501 x^{17} + 7373917 x^{16} + 250455980 x^{15} - 290053856 x^{14} - 5501340108 x^{13} + 6875865393 x^{12} + 66926124686 x^{11} - 96263348909 x^{10} - 438046106473 x^{9} + 740824871406 x^{8} + 1383038185176 x^{7} - 2863260767644 x^{6} - 1570567685623 x^{5} + 5193710248505 x^{4} - 862947136357 x^{3} - 3368621429671 x^{2} + 2154713129200 x - 341763031283$ $967^{22}$ $C_{23}$ (as 23T1) trivial $27464009362584775000000000$
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