Number field search results

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

Results (13 matches)

 

Label	Polynomial	Degree	Signature	Discriminant	Ram. prime count	Root discriminant	Galois root discriminant	CM field	Galois	Monogenic	Galois group	Class group	Unit group torsion	Unit group rank	Regulator
23.1.240...343.1	$x^{23} + 4 x - 1$	$23$	[1,11]	$-\,3\cdot 307\cdot 34500939701\cdot 12135377781337\cdot 62306724912060059$	$5$	$76.9336732537$	$4.901617177767607e+21$			✓	$S_{23}$ (as 23T7)	$[2]$	$2$	$11$	$2707199797350$
23.1.269...912.1	$x^{23} + 6 x - 2$	$23$	[1,11]	$-\,2^{22}\cdot 7\cdot 1159777\cdot 79\!\cdots\!77$	$4$	$115.400509882$	$4.920402734740681e+20$			✓	$S_{23}$ (as 23T7)	$[2]$	$2$	$11$	$467640059696000$
23.1.103...431.1	$x^{23} + 7 x - 1$	$23$	[1,11]	$-\,3\cdot 6703\cdot 150323\cdot 336703\cdot 2064983\cdot 15389967836821\cdot 32099206866877$	$7$	$122.367394392$	$1.0189566183351727e+24$			?	$S_{23}$ (as 23T7)	$[2]$	$2$	$11$	$417639816560000$
23.1.806...455.1	$x^{23} + 8 x - 1$	$23$	[1,11]	$-\,5\cdot 223\cdot 30517\cdot 6961609510848297089\cdot 34033162382566428614809$	$5$	$133.772383102$	$2.8393199576501746e+24$			?	$S_{23}$ (as 23T7)	$[2]$	$2$	$11$	$2274848482890000$
23.1.201...176.1	$x^{23} + 8 x - 2$	$23$	[1,11]	$-\,2^{22}\cdot 43724762009\cdot 10\!\cdots\!91$	$3$	$153.867346507$	$1.345228693381631e+22$			✓	$S_{23}$ (as 23T7)	$[2]$	$2$	$11$	$6132916500120000$
23.1.153...776.1	$x^{23} - 7 x - 8$	$23$	[1,11]	$-\,2^{22}\cdot 394418287\cdot 505548401\cdot 1831041631060267201664708687$	$4$	$168.049865752$				✓	$S_{23}$ (as 23T7)	$[2]$	$2$	$11$	$49775984225700000$
23.1.154...672.1	$x^{23} + x - 8$	$23$	[1,11]	$-\,2^{22}\cdot 3\cdot 1567\cdot 12054227281324133\cdot 6482319170855372267400121$	$5$	$168.094320902$				✓	$S_{23}$ (as 23T7)	$[2]$	$2$	$11$	$77350754945000000$
23.1.302...103.1	$x^{23} + 9 x - 1$	$23$	[1,11]	$-\,41\cdot 14110054979\cdot 52\!\cdots\!77$	$3$	$173.100764821$	$5.500958234165554e+25$			✓	$S_{23}$ (as 23T7)	$[2]$	$2$	$11$	$29943423500200000$
23.1.456...624.1	$x^{23} + 9 x - 8$	$23$	[1,11]	$-\,2^{22}\cdot 31\cdot 509\cdot 69\!\cdots\!39$	$4$	$176.225975921$				✓	$S_{23}$ (as 23T7)	$[2]$	$2$	$11$	$74565071538000000$
23.1.203...719.1	$x^{23} - 8 x - 9$	$23$	[1,11]	$-\,7\cdot 63181574413\cdot 19493497179268857581\cdot 2361671288889146742089$	$4$	$188.059618986$	$1.4269174420644835e+26$			✓	$S_{23}$ (as 23T7)	$[2]$	$2$	$11$	$118870976162000000$
23.1.205...751.1	$x^{23} - 4 x - 9$	$23$	[1,11]	$-\,73\cdot 631\cdot 44\!\cdots\!77$	$3$	$188.140173711$	$1.4339622479758804e+26$			✓	$S_{23}$ (as 23T7)	$[2]$	$2$	$11$	$155792753834000000$
23.1.205...943.1	$x^{23} - x - 9$	$23$	[1,11]	$-\,7\cdot 1279\cdot 83459\cdot 894869\cdot 403408926044794937\cdot 76230489391070555353$	$6$	$188.140173721$	$1.4339622488136239e+26$			✓	$S_{23}$ (as 23T7)	$[2]$	$2$	$11$	$186732548913000000$
23.1.205...303.1	$x^{23} + 4 x - 9$	$23$	[1,11]	$-\,3357289946486677753\cdot 61\!\cdots\!51$	$2$	$188.14017373$	$1.4339622496513674e+26$			✓	$S_{23}$ (as 23T7)	$[2]$	$2$	$11$	$142381373606000000$