Number field search results

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

Results (1-50 of 195 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
23.1.831...703.1	$x^{23} - 2 x^{22} - 3 x^{21} + 13 x^{20} - 19 x^{19} + 21 x^{18} - 75 x^{16} + 202 x^{15} - 378 x^{14} + 596 x^{13} - 798 x^{12} + 955 x^{11} - 995 x^{10} + 849 x^{9} - 610 x^{8} + 384 x^{7} - 151 x^{6} + 2 x^{5} + 46 x^{4} - 37 x^{3} + 3 x^{2} + 20 x + 1$	$23$	[1,11]	$-\,647^{11}$	$1$	$22.0976212489$	$25.436194683953808$				$D_{23}$ (as 23T2)	trivial	$2$	$11$	$1561186.27544$
23.1.205...983.1	$x^{23} - x - 1$	$23$	[1,11]	$-\,29\cdot 53264767\cdot 13296646221023838475181$	$3$	$22.9835192023$	$4532001778737922.0$			✓	$S_{23}$ (as 23T7)	trivial	$2$	$11$	$2560615.38998$
23.3.121...973.1	$x^{23} - 3 x^{21} - 6 x^{20} + x^{19} + 17 x^{18} + 18 x^{17} - 10 x^{16} - 43 x^{15} - 25 x^{14} + 33 x^{13} + 60 x^{12} + 11 x^{11} - 54 x^{10} - 47 x^{9} + 12 x^{8} + 44 x^{7} + 15 x^{6} - 17 x^{5} - 16 x^{4} + 6 x^{2} + x - 1$	$23$	[3,10]	$7\cdot 41\cdot 599\cdot 7069315563547560848845133621$	$4$	$27.445087043$	$3.4861257098334132e+16$			?	$S_{23}$ (as 23T7)	trivial	$2$	$12$	$53774282.4892$
23.1.152...439.1	$x^{23} + 4 x^{21} - 14 x^{20} + 25 x^{19} - 6 x^{18} - 14 x^{17} - 26 x^{16} + 31 x^{15} + 48 x^{14} - 62 x^{13} + 19 x^{12} + 19 x^{11} + 24 x^{10} - 17 x^{9} + 34 x^{8} + 40 x^{7} - 228 x^{6} + 76 x^{5} + 4 x^{4} + 28 x^{3} + 45 x^{2} + 49 x + 1$	$23$	[1,11]	$-\,1039^{11}$	$1$	$27.7159120747$	$32.2335229225724$				$D_{23}$ (as 23T2)	trivial	$2$	$11$	$55921894.4803$
23.1.293...047.1	$x^{23} + 5 x^{21} - 17 x^{20} + 33 x^{19} - 14 x^{18} + 53 x^{17} - 34 x^{16} - 19 x^{15} + 140 x^{14} - 19 x^{13} + 257 x^{12} - 106 x^{11} - 16 x^{10} + 274 x^{9} + 165 x^{8} + 515 x^{7} - 28 x^{6} + 129 x^{5} + 89 x^{4} + 524 x^{3} + 244 x^{2} + 50 x - 1$	$23$	[1,11]	$-\,1103^{11}$	$1$	$28.5196906393$	$33.21144381083123$				$D_{23}$ (as 23T2)	trivial	$2$	$11$	$42306743.1121$
23.7.484...792.1	$x^{23} - 3 x^{21} - 6 x^{20} + x^{19} + 17 x^{18} + 18 x^{17} - 10 x^{16} - 43 x^{15} - 25 x^{14} + 33 x^{13} + 60 x^{12} + 11 x^{11} - 54 x^{10} - 48 x^{9} + 12 x^{8} + 44 x^{7} + 17 x^{6} - 17 x^{5} - 16 x^{4} + 6 x^{2} + x - 1$	$23$	[7,8]	$2^{3}\cdot 3^{2}\cdot 4231\cdot 4210631\cdot 3775042239237949162501$	$5$	$29.1452075964$	$4.017553168705311e+16$			✓	$S_{23}$ (as 23T7)	trivial	$2$	$14$	$179256140.602$
23.1.149...079.1	$x^{23} - 7 x^{22} + 15 x^{21} - 6 x^{20} + x^{19} - 21 x^{18} + 17 x^{17} + 2 x^{16} + 46 x^{15} - 10 x^{14} + 108 x^{13} - 129 x^{12} - 98 x^{11} - 144 x^{10} - 85 x^{9} + 8 x^{8} + 187 x^{7} - 82 x^{6} + 363 x^{5} + 216 x^{4} - 128 x^{3} - 51 x^{2} + 77 x - 1$	$23$	[1,11]	$-\,1279^{11}$	$1$	$30.612204664$	$35.76310948449533$				$D_{23}$ (as 23T2)	trivial	$2$	$11$	$195904703.063$
23.1.582...903.1	$x^{23} - 2 x^{22} + 16 x^{21} - 34 x^{20} + 68 x^{19} - 63 x^{18} + 17 x^{17} + 43 x^{16} - 139 x^{15} + 165 x^{14} + 25 x^{13} - 228 x^{12} + 265 x^{11} - 270 x^{10} + 75 x^{9} + 246 x^{8} - 130 x^{7} - 161 x^{6} + 240 x^{5} - 393 x^{4} + 569 x^{3} - 385 x^{2} + 99 x + 1$	$23$	[1,11]	$-\,1447^{11}$	$1$	$32.4734497852$	$38.03945320322047$				$D_{23}$ (as 23T2)	trivial	$2$	$11$	$530761705.173$
23.1.697...671.1	$x^{23} - 5 x^{22} + 3 x^{21} + 3 x^{20} + 43 x^{19} - 6 x^{18} - 31 x^{17} - 56 x^{16} - 68 x^{15} - 89 x^{14} + 147 x^{13} + 180 x^{12} + 274 x^{11} + 240 x^{10} - 211 x^{9} - 521 x^{8} - 383 x^{7} - 275 x^{6} + 291 x^{5} + 249 x^{4} + 358 x^{3} - 9 x^{2} + 107 x + 1$	$23$	[1,11]	$-\,1471^{11}$	$1$	$32.7299386538$	$38.353617821530214$				$D_{23}$ (as 23T2)	trivial	$2$	$11$	$492297100.302$
23.3.961...453.1	$x^{23} - x^{22} - x^{21} - x^{20} + x^{19} + 8 x^{18} - 3 x^{17} - 9 x^{16} - 6 x^{15} + 5 x^{14} + 23 x^{13} - x^{12} - 23 x^{11} - 13 x^{10} + 12 x^{9} + 27 x^{8} - 3 x^{7} - 20 x^{6} - 6 x^{5} + 9 x^{4} + 7 x^{3} - 4 x^{2} - 2 x + 1$	$23$	[3,10]	$19\cdot 28201\cdot 55057\cdot 3258654194756619414566191$	$4$	$33.1890102516$	$3.1005194813504915e+17$			✓	$S_{23}$ (as 23T7)	trivial	$2$	$12$	$177401273.772$
23.1.100...339.1	$x^{23} - 3 x^{21} - 6 x^{20} + x^{19} + 17 x^{18} + 18 x^{17} - 10 x^{16} - 43 x^{15} - 25 x^{14} + 33 x^{13} + 60 x^{12} + 11 x^{11} - 54 x^{10} - 47 x^{9} + 12 x^{8} + 46 x^{7} + 17 x^{6} - 17 x^{5} - 16 x^{4} + 6 x^{2} + x - 1$	$23$	[1,11]	$-\,167\cdot 30727\cdot 499717\cdot 39149185505838967853863$	$4$	$33.2515830019$	$3.168412684878976e+17$			✓	$S_{23}$ (as 23T7)	trivial	$2$	$11$	$139979317.774$
23.1.459...108.1	$x^{23} - 2 x^{22} - x^{21} + 5 x^{20} - x^{19} - 4 x^{18} + 6 x^{15} + 6 x^{14} - 17 x^{13} - 10 x^{12} + 31 x^{11} + 5 x^{10} - 32 x^{9} + 25 x^{7} - 17 x^{5} + 2 x^{4} + 9 x^{3} - 3 x^{2} - 2 x + 1$	$23$	[1,11]	$-\,2^{2}\cdot 1021\cdot 425123\cdot 264472629367076822658099919$	$4$	$35.5239226707$				?	$S_{23}$ (as 23T7)	trivial	$2$	$11$	$583250036.6$
23.1.687...411.1	$x^{23} - 3 x^{22} + 7 x^{21} - 8 x^{20} - 11 x^{19} + 19 x^{18} + 160 x^{17} + 291 x^{16} + 464 x^{15} - 35 x^{14} - 648 x^{13} - 1313 x^{12} - 1101 x^{11} - 240 x^{10} + 1477 x^{9} + 1043 x^{8} + 863 x^{7} - 10 x^{6} - 264 x^{5} - 712 x^{4} - 80 x^{3} - 2304 x^{2} - 2048 x - 1024$	$23$	[1,11]	$-\,1811^{11}$	$1$	$36.1522149922$	$42.555845661906424$				$D_{23}$ (as 23T2)	trivial	$2$	$11$	$9293967260.34$
23.5.137...908.1	$x^{23} - 3 x^{21} - 6 x^{20} + x^{19} + 17 x^{18} + 18 x^{17} - 10 x^{16} - 43 x^{15} - 25 x^{14} + 33 x^{13} + 60 x^{12} + 11 x^{11} - 54 x^{10} - 47 x^{9} + 12 x^{8} + 43 x^{7} + 17 x^{6} - 17 x^{5} - 16 x^{4} + 6 x^{2} + x - 1$	$23$	[5,9]	$-\,2^{2}\cdot 641\cdot 31357146703\cdot 17127956171402395614949$	$4$	$37.2613971261$	$9.314010408753599e+17$			✓	$S_{23}$ (as 23T7)	trivial	$2$	$13$	$3910844212.61$
23.1.167...576.1	$x^{23} - 4 x - 4$	$23$	[1,11]	$-\,2^{22}\cdot 8623\cdot 10045730659\cdot 4597557191821267$	$4$	$37.5755650454$	$1224687438025823.0$			?	$S_{23}$ (as 23T7)	trivial	$2$	$11$	$1131394806.61$
23.1.182...779.1	$x^{23} - 11 x^{22} + 47 x^{21} - 78 x^{20} - 51 x^{19} + 367 x^{18} - 359 x^{17} - 364 x^{16} + 1182 x^{15} - 712 x^{14} - 1586 x^{13} + 3310 x^{12} - 393 x^{11} - 5271 x^{10} + 5059 x^{9} + 3246 x^{8} - 8091 x^{7} - 125 x^{6} + 10047 x^{5} - 6818 x^{4} - 2608 x^{3} + 2872 x^{2} + 1488 x - 2176$	$23$	[1,11]	$-\,1979^{11}$	$1$	$37.7190748431$	$44.48595283907045$				$D_{23}$ (as 23T2)	trivial	$2$	$11$	$15406380217.0$
23.5.250...508.1	$x^{23} - 3 x^{21} - 6 x^{20} + x^{19} + 17 x^{18} + 18 x^{17} - 10 x^{16} - 43 x^{15} - 25 x^{14} + 33 x^{13} + 60 x^{12} + 10 x^{11} - 54 x^{10} - 47 x^{9} + 12 x^{8} + 44 x^{7} + 17 x^{6} - 17 x^{5} - 16 x^{4} + 6 x^{2} + x - 1$	$23$	[5,9]	$-\,2^{2}\cdot 1307\cdot 1787\cdot 28687\cdot 512717\cdot 18216368638827725857$	$6$	$38.2421954608$	$1.2557380744871542e+18$			✓	$S_{23}$ (as 23T7)	trivial	$2$	$13$	$3444212420.75$
23.1.286...639.1	$x^{23} + 2 x - 1$	$23$	[1,11]	$-\,127\cdot 5892521806212607\cdot 3827252586261454951$	$3$	$38.4668488198$	$1.6923727437974505e+18$			✓	$S_{23}$ (as 23T7)	trivial	$2$	$11$	$1296440588.69$
23.23.611...809.1	$x^{23} - x^{22} - 22 x^{21} + 21 x^{20} + 210 x^{19} - 190 x^{18} - 1140 x^{17} + 969 x^{16} + 3876 x^{15} - 3060 x^{14} - 8568 x^{13} + 6188 x^{12} + 12376 x^{11} - 8008 x^{10} - 11440 x^{9} + 6435 x^{8} + 6435 x^{7} - 3003 x^{6} - 2002 x^{5} + 715 x^{4} + 286 x^{3} - 66 x^{2} - 12 x + 1$	$23$	[23,0]	$47^{22}$	$1$	$39.7555669319$	$39.75556693193454$		✓	✓	$C_{23}$ (as 23T1)	trivial	$2$	$22$	$68215743661.4$
23.1.103...168.1	$x^{23} + 4 x - 4$	$23$	[1,11]	$-\,2^{22}\cdot 127\cdot 121259\cdot 78283735681\cdot 2050329605299$	$5$	$40.6796380099$	$3051042090149834.0$			?	$S_{23}$ (as 23T7)	trivial	$2$	$11$	$3908153739.94$
23.1.761...080.1	$x^{23} - 8 x - 8$	$23$	[1,11]	$-\,2^{22}\cdot 3\cdot 5\cdot 557\cdot 2100359171059\cdot 1034221960670111$	$6$	$44.363145749$	$8267393774442177.0$			?	$S_{23}$ (as 23T7)	trivial	$2$	$11$	$16501892392.2$
23.1.847...296.1	$x^{23} - 2 x - 2$	$23$	[1,11]	$-\,2^{22}\cdot 3\cdot 5519\cdot 1219883568588480577372817507$	$4$	$44.5699078639$	$8721511346792999.0$			✓	$S_{23}$ (as 23T7)	trivial	$2$	$11$	$12211948562.3$
23.1.875...784.1	$x^{23} - x - 2$	$23$	[1,11]	$-\,2^{23}\cdot 7\cdot 24177221\cdot 78687506363\cdot 783971054543$	$5$	$44.6343866189$				✓	$S_{23}$ (as 23T7)	trivial	$2$	$11$	$17404788077.7$
23.1.875...047.1	$x^{23} - x - 4$	$23$	[1,11]	$-\,7901\cdot 159683\cdot 69415968602603755097356934209$	$3$	$44.6343866265$	$9.358366868937871e+18$			?	$S_{23}$ (as 23T7)	trivial	$2$	$11$	$10664511959.7$
23.1.875...368.1	$x^{23} - 2$	$23$	[1,11]	$-\,2^{22}\cdot 23^{23}$	$2$	$44.6343866265$	$50.83747447492002$			✓	$F_{23}$ (as 23T4)	trivial	$2$	$11$	$14787749883.9$
23.1.904...440.1	$x^{23} + 2 x - 2$	$23$	[1,11]	$-\,2^{22}\cdot 5\cdot 9629\cdot 78977\cdot 5671055267529396512759$	$5$	$44.6968791201$	$9011551868163896.0$			✓	$S_{23}$ (as 23T7)	trivial	$2$	$11$	$11760180370.2$
23.1.990...656.1	$x^{23} + 8 x - 8$	$23$	[1,11]	$-\,2^{22}\cdot 19\cdot 2617\cdot 310741\cdot 1528181322635255601073$	$5$	$44.8735986096$	$9429900711203802.0$			?	$S_{23}$ (as 23T7)	trivial	$2$	$11$	$13784529892.7$
23.1.332...679.1	$x^{23} - 9 x - 9$	$23$	[1,11]	$-\,3^{22}\cdot 103\cdot 409\cdot 136973\cdot 1835872831815206461$	$5$	$47.299523925$	$294371594383291.06$			?	$S_{23}$ (as 23T7)	trivial	$2$	$11$	$12917754140.4$
23.7.437...528.1	$x^{23} - 3 x^{22} + 4 x^{20} + 5 x^{19} - 5 x^{18} - 14 x^{17} + 4 x^{16} + 15 x^{15} + 10 x^{14} - 22 x^{13} - 13 x^{12} + 16 x^{11} + 18 x^{10} - 3 x^{9} - 23 x^{8} + x^{7} + 13 x^{6} + 4 x^{5} - 7 x^{4} - 4 x^{3} + 5 x^{2} + x - 1$	$23$	[7,8]	$2^{4}\cdot 17\cdot 241\cdot 1709\cdot 3877\cdot 111868093\cdot 346250347\cdot 25983511363$	$8$	$47.8659710754$				✓	$S_{23}$ (as 23T7)	trivial	$2$	$14$	$78508567076.1$
23.1.101...875.1	$x^{23} + 23 x^{21} + 230 x^{19} + 1311 x^{17} + 4692 x^{15} + 10948 x^{13} + 16744 x^{11} + 16445 x^{9} + 9867 x^{7} + 3289 x^{5} + 506 x^{3} + 23 x - 1$	$23$	[1,11]	$-\,5^{11}\cdot 23^{23}$	$2$	$49.6612718765$	$58.57701468324603$			✓	$F_{23}$ (as 23T4)	trivial	$2$	$11$	$53144954646.2$
23.1.140...512.1	$x^{23} - 4 x - 8$	$23$	[1,11]	$-\,2^{26}\cdot 25811015603927\cdot 808975051375354229$	$3$	$50.3526826419$				?	$S_{23}$ (as 23T7)	trivial	$2$	$11$	$61444013102.3$
23.15.902...637.1	$x^{23} - 6 x^{22} - 5 x^{21} + 86 x^{20} - 45 x^{19} - 531 x^{18} + 490 x^{17} + 1869 x^{16} - 1929 x^{15} - 4166 x^{14} + 4062 x^{13} + 6124 x^{12} - 4949 x^{11} - 5930 x^{10} + 3501 x^{9} + 3657 x^{8} - 1386 x^{7} - 1348 x^{6} + 286 x^{5} + 273 x^{4} - 28 x^{3} - 27 x^{2} + x + 1$	$23$	[15,4]	$90\!\cdots\!37$	$1$	$54.5998428171$	$9.499505821039636e+19$			?	$S_{23}$ (as 23T7)	trivial	$2$	$18$	$1818525117070$
23.9.955...636.1	$x^{23} - x^{22} - 4 x^{21} - 3 x^{20} + 10 x^{19} + 17 x^{18} - 2 x^{17} - 26 x^{16} - 21 x^{15} + 15 x^{14} + 19 x^{13} - 7 x^{12} - 18 x^{11} + 15 x^{10} + 35 x^{9} - 33 x^{7} - 24 x^{6} + 12 x^{5} + 16 x^{4} + 3 x^{3} - 5 x^{2} - 2 x + 1$	$23$	[9,7]	$-\,2^{2}\cdot 19\cdot 432841815513398891\cdot 290448827022730856621$	$4$	$54.7356280457$	$9.774762512599196e+19$			✓	$S_{23}$ (as 23T7)	trivial	$2$	$15$	$973481536934$
23.15.124...500.1	$x^{23} - 2 x^{22} - 20 x^{21} + 36 x^{20} + 175 x^{19} - 273 x^{18} - 876 x^{17} + 1134 x^{16} + 2749 x^{15} - 2812 x^{14} - 5571 x^{13} + 4267 x^{12} + 7255 x^{11} - 3939 x^{10} - 5887 x^{9} + 2181 x^{8} + 2825 x^{7} - 734 x^{6} - 749 x^{5} + 154 x^{4} + 99 x^{3} - 19 x^{2} - 5 x + 1$	$23$	[15,4]	$2^{2}\cdot 5^{4}\cdot 7499\cdot 275729\cdot 49942556731\cdot 48034096151655703$	$6$	$55.3596471245$	$1.3024561044692664e+19$			✓	$S_{23}$ (as 23T7)	trivial	$2$	$18$	$2323935089500$
23.1.224...224.1	$x^{23} + 4 x - 8$	$23$	[1,11]	$-\,2^{30}\cdot 3\cdot 929\cdot 623071\cdot 16280269\cdot 738591239095427$	$6$	$56.8035733437$				?	$S_{23}$ (as 23T7)	trivial	$2$	$11$	$402011657995$
23.1.285...320.1	$x^{23} + 8 x - 4$	$23$	[1,11]	$-\,2^{22}\cdot 5\cdot 24986142523\cdot 54552257894632015274417$	$4$	$57.4067141285$	$1.6020745037248333e+17$			?	$S_{23}$ (as 23T7)	trivial	$2$	$11$	$281108277991$
23.9.300...043.1	$x^{23} - 2 x^{22} - 4 x^{21} + 6 x^{20} + 10 x^{19} - 7 x^{18} - 14 x^{17} + 11 x^{16} + 12 x^{15} - 31 x^{14} - 36 x^{13} + 41 x^{12} + 89 x^{11} + 5 x^{10} - 105 x^{9} - 65 x^{8} + 56 x^{7} + 68 x^{6} - 7 x^{5} - 34 x^{4} - 4 x^{3} + 9 x^{2} + x - 1$	$23$	[9,7]	$-\,508621\cdot 158113511\cdot 1092887040821\cdot 341802543194293$	$4$	$57.5308249537$	$1.7332328753273392e+20$			✓	$S_{23}$ (as 23T7)	trivial	$2$	$15$	$394956948058$
23.3.321...401.1	$x^{23} - 3 x - 1$	$23$	[3,10]	$259028266789\cdot 124091112112198565028075828709$	$2$	$57.7002549387$	$1.7928498457579284e+20$			✓	$S_{23}$ (as 23T7)	trivial	$2$	$12$	$208932361073$
23.1.321...535.1	$x^{23} + 3 x - 1$	$23$	[1,11]	$-\,5\cdot 22723592653\cdot 282905139402414328282680249319$	$3$	$57.7002549419$	$1.7928498469225808e+20$			✓	$S_{23}$ (as 23T7)	trivial	$2$	$11$	$185847611513$
23.1.322...336.1	$x^{23} + 3 x - 2$	$23$	[1,11]	$-\,2^{23}\cdot 17\cdot 43\cdot 67\cdot 971821\cdot 15873405731\cdot 5085469520371$	$7$	$57.7070814215$				✓	$S_{23}$ (as 23T7)	trivial	$2$	$11$	$407641553662$
23.13.425...343.1	$x^{23} - 7 x^{22} + 2 x^{21} + 88 x^{20} - 150 x^{19} - 422 x^{18} + 1148 x^{17} + 862 x^{16} - 4167 x^{15} - 105 x^{14} + 8563 x^{13} - 2935 x^{12} - 10393 x^{11} + 5920 x^{10} + 7285 x^{9} - 5405 x^{8} - 2661 x^{7} + 2503 x^{6} + 356 x^{5} - 537 x^{4} + 19 x^{3} + 39 x^{2} - 2 x - 1$	$23$	[13,5]	$-\,13\cdot 1289\cdot 4057217\cdot 26391289\cdot 32505503\cdot 7288751994309941$	$6$	$64.5556967352$	$6.519999859779894e+20$			✓	$S_{23}$ (as 23T7)	trivial	$2$	$17$	$4090939159600$
23.1.623...335.1	$x^{23} - 3 x - 3$	$23$	[1,11]	$-\,3^{22}\cdot 5\cdot 203008301\cdot 19561943299801571525063$	$4$	$65.6379381689$	$1.274455719527393e+16$			✓	$S_{23}$ (as 23T7)	trivial	$2$	$11$	$933328504105$
23.1.655...231.1	$x^{23} - 2 x - 3$	$23$	[1,11]	$-\,587\cdot 75967200927041\cdot 14694056584644694851886093$	$3$	$65.7816262406$	$8.094741174753032e+20$			✓	$S_{23}$ (as 23T7)	trivial	$2$	$11$	$951514783980$
23.1.655...719.1	$x^{23} - x - 3$	$23$	[1,11]	$-\,41\cdot 263\cdot 455033\cdot 13\!\cdots\!21$	$4$	$65.781638742$	$8.094758865875517e+20$			✓	$S_{23}$ (as 23T7)	trivial	$2$	$11$	$1198293682960$
23.1.655...303.1	$x^{23} - 3$	$23$	[1,11]	$-\,3^{22}\cdot 23^{23}$	$2$	$65.781638742$	$74.92367730844663$			✓	$F_{23}$ (as 23T4)	trivial	$2$	$11$	$1289649122770$
23.1.655...887.1	$x^{23} + x - 3$	$23$	[1,11]	$-\,859\cdot 1733\cdot 44\!\cdots\!21$	$3$	$65.781638742$	$8.094758865879735e+20$			✓	$S_{23}$ (as 23T7)	trivial	$2$	$11$	$813269772507$
23.1.687...271.1	$x^{23} + 3 x - 3$	$23$	[1,11]	$-\,3^{22}\cdot 7\cdot 467399\cdot 10931299891\cdot 612464196024013$	$5$	$65.9187485478$	$1.3385852001185396e+16$			✓	$S_{23}$ (as 23T7)	trivial	$2$	$11$	$993709440615$
23.17.696...863.1	$x^{23} - 3 x^{22} - 18 x^{21} + 55 x^{20} + 141 x^{19} - 429 x^{18} - 638 x^{17} + 1858 x^{16} + 1864 x^{15} - 4889 x^{14} - 3693 x^{13} + 8033 x^{12} + 4990 x^{11} - 8160 x^{10} - 4433 x^{9} + 4919 x^{8} + 2383 x^{7} - 1652 x^{6} - 677 x^{5} + 297 x^{4} + 89 x^{3} - 27 x^{2} - 4 x + 1$	$23$	[17,3]	$-\,17\cdot 40\!\cdots\!39$	$2$	$65.9575950422$	$8.347286835027352e+20$			✓	$S_{23}$ (as 23T7)	trivial	$2$	$19$	$36539551739300$
23.1.751...207.1	$x^{23} + 9 x - 9$	$23$	[1,11]	$-\,3^{22}\cdot 151\cdot 158631250967721112920032141873$	$3$	$66.175479984$	$1.3997797308565002e+16$			?	$S_{23}$ (as 23T7)	trivial	$2$	$11$	$640542907885$
23.11.110...432.1	$x^{23} - 7 x^{22} + 2 x^{21} + 88 x^{20} - 150 x^{19} - 422 x^{18} + 1148 x^{17} + 862 x^{16} - 4167 x^{15} - 105 x^{14} + 8563 x^{13} - 2935 x^{12} - 10393 x^{11} + 5920 x^{10} + 7285 x^{9} - 5405 x^{8} - 2661 x^{7} + 2503 x^{6} + 354 x^{5} - 537 x^{4} + 18 x^{3} + 39 x^{2} - 2 x - 1$	$23$	[11,6]	$2^{10}\cdot 22483\cdot 2527336563667297\cdot 19007452217635529293$	$4$	$67.2959220635$				✓	$S_{23}$ (as 23T7)	trivial	$2$	$16$	$11886760766000$