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Results (1-50 of 609 matches)

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Label	Polynomial	Degree	Signature	Discriminant	Ram. prime count	Root discriminant	Galois root discriminant	Monogenic	Galois group	Class group	Unit group torsion	Unit group rank	Regulator
11.3.24963663301.1	$x^{11} - 2 x^{8} + 4 x^{4} - x^{3} - 3 x^{2} + x + 1$	$11$	[3,4]	$971\cdot 25709231$	$2$	$8.8147469027$	$157998.9344932427$	✓	$S_{11}$ (as 11T8)	trivial	$2$	$6$	$4.33925469123$
11.3.26176773577.1	$x^{11} - x^{9} - x^{8} - 2 x^{7} + 2 x^{5} + 3 x^{4} - 2 x^{2} + 1$	$11$	[3,4]	$14851\cdot 1762627$	$2$	$8.85285362001$	$161792.37799414407$	✓	$S_{11}$ (as 11T8)	trivial	$2$	$6$	$4.4712164339$
11.3.26877166541.1	$x^{11} - x^{9} - x^{8} - 2 x^{7} + x^{5} + 2 x^{4} + 2 x^{3} - 1$	$11$	[3,4]	$1583\cdot 2731\cdot 6217$	$3$	$8.87412968486$	$163942.57086248221$	✓	$S_{11}$ (as 11T8)	trivial	$2$	$6$	$4.543622789082196$
11.3.27095385033.1	$x^{11} - 2 x^{9} - x^{7} - x^{6} + 4 x^{5} + x^{4} - 2 x - 1$	$11$	[3,4]	$3^{3}\cdot 1003532779$	$2$	$8.88065563404$	$54868.91959023797$	✓	$S_{11}$ (as 11T8)	trivial	$2$	$6$	$4.564346423290848$
11.3.27252765193.1	$x^{11} - 2 x^{8} - x^{7} + x^{6} + x^{5} - x^{4} - 2 x^{3} + x^{2} + 2 x + 1$	$11$	[3,4]	$1559\cdot 17480927$	$2$	$8.8853325881$	$165084.11550782225$	✓	$S_{11}$ (as 11T8)	trivial	$2$	$6$	$4.581164668665217$
11.3.28208540809.1	$x^{11} - x^{10} + x^{9} - 3 x^{5} + x^{4} - 2 x^{2} + x + 1$	$11$	[3,4]	$28208540809$	$1$	$8.91321950394$	$167953.9842010305$	✓	$S_{11}$ (as 11T8)	trivial	$2$	$6$	$4.678778945916857$
11.3.28385393161.1	$x^{11} - x^{10} + 2 x^{9} - x^{7} + 2 x^{6} - x^{5} - x^{4} + x^{3} - x^{2} - x + 1$	$11$	[3,4]	$28385393161$	$1$	$8.91828518293$	$168479.6520681355$	✓	$S_{11}$ (as 11T8)	trivial	$2$	$6$	$4.707477044366799$
11.3.28868429753.1	$x^{11} - x^{9} - x^{6} - x^{5} + x^{4} - x^{3} + 2 x - 1$	$11$	[3,4]	$163\cdot 177106931$	$2$	$8.93197626131$	$169907.12096024698$	✓	$S_{11}$ (as 11T8)	trivial	$2$	$6$	$4.748635444917281$
11.3.32252418553.1	$x^{11} - 4 x^{10} + 9 x^{9} - 15 x^{8} + 21 x^{7} - 21 x^{6} + 17 x^{5} - 8 x^{4} + 3 x^{2} - 3 x + 1$	$11$	[3,4]	$61\cdot 227\cdot 397\cdot 5867$	$4$	$9.02243671016$	$179589.583642816$	✓	$S_{11}$ (as 11T8)	trivial	$2$	$6$	$5.07930695367$
11.3.64283038681.1	$x^{11} - x^{10} - 5 x^{9} + 3 x^{8} + 10 x^{7} - 3 x^{6} - 11 x^{5} + 3 x^{4} + 5 x^{3} - 2 x^{2} + 1$	$11$	[3,4]	$71^{2}\cdot 3571^{2}$	$2$	$9.6062573688$	$4005.8879678934163$	?	$A_{11}$ (as 11T7)	trivial	$2$	$6$	$8.04640012169$
11.3.66355073541.1	$x^{11} - 5 x^{9} - x^{8} + 7 x^{7} + 4 x^{6} - x^{5} - 5 x^{4} - 2 x^{3} + 2 x^{2} - 1$	$11$	[3,4]	$3^{2}\cdot 7372785949$	$2$	$9.63400216401$	$148722.41877739885$	✓	$S_{11}$ (as 11T8)	trivial	$2$	$6$	$8.00982507951$
11.3.118125032125.1	$x^{11} - 2 x^{10} + x^{9} + 4 x^{8} - 6 x^{7} + 2 x^{6} + 5 x^{5} - 5 x^{4} + 3 x^{2} - 3 x + 1$	$11$	[3,4]	$5^{3}\cdot 73\cdot 139\cdot 93131$	$4$	$10.1525827971$	$102788.2486816166$	✓	$S_{11}$ (as 11T8)	trivial	$2$	$6$	$12.5932309979$
11.3.121321855232.1	$x^{11} + 2 x^{9} - x^{8} - x^{7} + 2 x^{6} - 4 x^{5} + 2 x^{4} - 2 x^{3} - 2 x^{2} + 2 x - 1$	$11$	[3,4]	$2^{8}\cdot 2927\cdot 161911$	$3$	$10.1772588853$	$87078.2174369687$	?	$S_{11}$ (as 11T8)	trivial	$2$	$6$	$18.3096406338$
11.3.127663872125.1	$x^{11} - 3 x^{10} + x^{9} + 3 x^{8} + 2 x^{7} - 3 x^{6} - 6 x^{5} - 2 x^{4} + 6 x^{3} + 4 x^{2} - x - 1$	$11$	[3,4]	$5^{3}\cdot 131\cdot 1297\cdot 6011$	$4$	$10.2245110026$	$106857.86753296934$	?	$S_{11}$ (as 11T8)	trivial	$2$	$6$	$13.1449090087$
11.3.133644778349.1	$x^{11} - 2 x^{10} + 2 x^{9} - 2 x^{8} + x^{6} - 3 x^{5} + 3 x^{4} - x^{3} + x^{2} - 1$	$11$	[3,4]	$401\cdot 333278749$	$2$	$10.2671564868$	$365574.58657434053$	✓	$S_{11}$ (as 11T8)	trivial	$2$	$6$	$13.6774760578$
11.3.136113034225.1	$x^{11} - 2 x^{10} + x^{9} + 4 x^{8} - 6 x^{7} + 8 x^{5} - 7 x^{4} - 2 x^{3} + 5 x^{2} - 2 x - 1$	$11$	[3,4]	$5^{2}\cdot 7^{2}\cdot 83^{2}\cdot 127^{2}$	$4$	$10.2842518003$	$2844.1679033165196$	✓	$A_{11}$ (as 11T7)	trivial	$2$	$6$	$13.1993869045$
11.3.177546554301.1	$x^{11} + 2 x^{9} - 2 x^{8} + x^{7} - 4 x^{6} + x^{5} - x^{3} + 3 x^{2} - 3 x + 1$	$11$	[3,4]	$3\cdot 34963\cdot 1692709$	$3$	$10.5357328491$	$421362.734827132$	✓	$S_{11}$ (as 11T8)	trivial	$2$	$6$	$17.7712884727$
11.3.233856337233.1	$x^{11} - 4 x^{10} + 6 x^{9} - 5 x^{8} + 7 x^{6} - 9 x^{5} + 3 x^{4} + 4 x^{3} - 4 x^{2} + 3 x - 1$	$11$	[3,4]	$3\cdot 246941\cdot 315671$	$3$	$10.802911822$	$483586.94898952765$	?	$S_{11}$ (as 11T8)	trivial	$2$	$6$	$20.8515824211$
11.3.303820448000.1	$x^{11} - 3 x^{10} + 9 x^{8} - 6 x^{7} - 11 x^{6} + 6 x^{5} + 13 x^{4} - 4 x^{3} - 8 x^{2} + 2$	$11$	[3,4]	$2^{8}\cdot 5^{3}\cdot 9494389$	$3$	$11.0630346521$	$41211.74513055835$	?	$S_{11}$ (as 11T8)	trivial	$2$	$6$	$34.9771751389$
11.3.337570274092.1	$x^{11} - 3 x^{10} + 6 x^{9} - 4 x^{8} + 2 x^{7} + 4 x^{6} - 3 x^{5} + x^{4} + 2 x^{3} + 5 x^{2} - 2 x - 1$	$11$	[3,4]	$2^{2}\cdot 89\cdot 4801\cdot 197507$	$4$	$11.1694839592$	$581007.9810914821$	?	$S_{11}$ (as 11T8)	trivial	$2$	$6$	$34.4297607586$
11.3.836463893056.1	$x^{11} - x^{9} + x^{7} - x^{6} + 2 x^{5} + x^{4} - 2 x^{3} - x - 1$	$11$	[3,4]	$2^{6}\cdot 11^{2}\cdot 19^{2}\cdot 547^{2}$	$4$	$12.129945128$	$800.4218167922659$	✓	$A_{11}$ (as 11T7)	trivial	$2$	$6$	$42.63364030773609$
11.3.1013364643329.1	$x^{11} - 3 x^{10} + 5 x^{9} - 11 x^{8} + 11 x^{7} - 9 x^{6} + 7 x^{5} + x^{4} - 6 x^{3} + 3 x^{2} - 4 x + 1$	$11$	[3,4]	$3^{4}\cdot 33829\cdot 369821$	$3$	$12.3433558559$	$193731.83483103648$	?	$S_{11}$ (as 11T8)	trivial	$2$	$6$	$106.551564033$
11.3.6912019581184.1	$x^{11} - x^{9} - x^{8} + 3 x^{5} + 2 x^{4} - 4 x^{3} - 3 x^{2} + x + 1$	$11$	[3,4]	$2^{8}\cdot 37^{2}\cdot 4441^{2}$	$3$	$14.6972748041$	$5527.862135514047$	✓	$A_{11}$ (as 11T7)	trivial	$2$	$6$	$118.54860062510518$
11.3.11239665258721.1	$x^{11} - 2 x^{10} + 3 x^{9} + 2 x^{8} - 5 x^{7} + 16 x^{6} - 10 x^{5} + 10 x^{4} + 2 x^{3} - 3 x^{2} + 4 x - 1$	$11$	[3,4]	$1831^{4}$	$1$	$15.3614469435$	$42.790185790669334$	?	$\PSL(2,11)$ (as 11T5)	trivial	$2$	$6$	$200.975946209$
11.3.11239665258721.2	$x^{11} - 2 x^{10} + x^{9} - 5 x^{8} + 13 x^{7} - 9 x^{6} + x^{5} - 8 x^{4} + 9 x^{3} - 3 x^{2} - 2 x + 1$	$11$	[3,4]	$1831^{4}$	$1$	$15.3614469435$	$42.790185790669334$	?	$\PSL(2,11)$ (as 11T5)	trivial	$2$	$6$	$200.975946209$
11.3.31421675094016.1	$x^{11} - 3 x^{10} + 3 x^{9} - x^{8} - x^{5} - x^{4} + 2 x^{2} - x - 1$	$11$	[3,4]	$2^{14}\cdot 43793^{2}$	$2$	$16.866339911$	$6261.424111891633$	✓	$A_{11}$ (as 11T7)	trivial	$2$	$6$	$649.0522455228107$
11.3.377913600000000.1	$x^{11} - x^{10} + 7 x^{9} - 3 x^{8} + 3 x^{7} - 3 x^{6} - 7 x^{5} + x^{4} - 4 x^{3} + 4 x^{2} + 2 x - 2$	$11$	[3,4]	$2^{14}\cdot 3^{10}\cdot 5^{8}$	$3$	$21.1454777552$	$187.60229593431234$	?	$A_{11}$ (as 11T7)	trivial	$2$	$6$	$5103.02584812$
11.3.590490000000000.1	$x^{11} - x^{10} + x^{9} - 5 x^{8} - 7 x^{7} + 7 x^{6} - 7 x^{5} + 31 x^{4} - 40 x^{3} + 8 x^{2} + 16 x - 16$	$11$	[3,4]	$2^{10}\cdot 3^{10}\cdot 5^{10}$	$3$	$22.0210236983$	$150.0776269184575$	?	$A_{11}$ (as 11T7)	trivial	$2$	$6$	$9474.52240896$
11.3.1771184688329389.1	$x^{11} - 3 x - 1$	$11$	[3,4]	$1771184688329389$	$1$	$24.3335686063$	$42085445.088883035$	✓	$S_{11}$ (as 11T8)	trivial	$2$	$6$	$3366.64907463$
11.3.3188646000000000.1	$x^{11} - 2 x^{10} + 4 x^{9} + 6 x^{8} - 18 x^{7} + 18 x^{6} - 42 x^{4} + 12 x^{3} + 44 x^{2} + 32 x + 8$	$11$	[3,4]	$2^{10}\cdot 3^{13}\cdot 5^{9}$	$3$	$25.669579544$	$122.28715354044319$	?	$S_{11}$ (as 11T8)	trivial	$2$	$6$	$14690.9534162$
11.3.11337408000000000.1	$x^{11} - 2 x^{10} + x^{9} + 6 x^{8} - 21 x^{7} + 42 x^{6} - 60 x^{5} + 12 x^{4} + 12 x^{3} + 8 x^{2} + 20 x + 8$	$11$	[3,4]	$2^{15}\cdot 3^{11}\cdot 5^{9}$	$3$	$28.8072135676$	$158.406695974616$	?	$S_{11}$ (as 11T8)	trivial	$2$	$6$	$44981.3577942$
11.3.12754584000000000.1	$x^{11} - 6 x^{9} + 27 x^{7} - 36 x^{6} - 18 x^{5} + 36 x^{4} - 72 x^{2} + 108$	$11$	[3,4]	$2^{12}\cdot 3^{13}\cdot 5^{9}$	$3$	$29.1173255162$	$143.33403716385226$		$S_{11}$ (as 11T8)	trivial	$2$	$6$	$82398.6846529$
11.3.14946778125000000.1	$x^{11} - 5 x^{10} + 10 x^{9} - 60 x^{7} + 159 x^{6} - 170 x^{5} - 5 x^{4} + 175 x^{3} - 95 x^{2} - 86 x + 130$	$11$	[3,4]	$2^{6}\cdot 3^{14}\cdot 5^{11}$	$3$	$29.5401990287$	$186.8323426929122$	?	$S_{11}$ (as 11T8)	trivial	$2$	$6$	$76330.640341$
11.3.22674816000000000.1	$x^{11} - 3 x^{10} - 6 x^{9} + 12 x^{8} + 18 x^{7} - 54 x^{6} - 96 x^{5} + 72 x^{4} + 126 x^{3} - 206 x^{2} - 336 x - 96$	$11$	[3,4]	$2^{16}\cdot 3^{11}\cdot 5^{9}$	$3$	$30.6808661218$	$91.50410531097494$		$S_{11}$ (as 11T8)	trivial	$2$	$6$	$108767.621652$
11.3.29393280000000000.1	$x^{11} - 4 x^{10} + 20 x^{9} - 40 x^{8} + 90 x^{7} - 48 x^{6} - 8 x^{5} + 300 x^{4} - 360 x^{3} + 240 x^{2} + 128 x - 592$	$11$	[3,4]	$2^{16}\cdot 3^{8}\cdot 5^{10}\cdot 7$	$4$	$31.4132925763$	$513.6369813514681$		$S_{11}$ (as 11T8)	trivial	$2$	$6$	$131601.956099$
11.3.41650880849294336.1	$x^{11} - 4 x - 2$	$11$	[3,4]	$2^{10}\cdot 181\cdot 224722034969$	$3$	$32.4246223391$	$11976385.019007709$	✓	$S_{11}$ (as 11T8)	trivial	$2$	$6$	$15924.3755883$
11.3.41942754688329389.1	$x^{11} - 4 x - 1$	$11$	[3,4]	$79\cdot 137\cdot 1583\cdot 2448095621$	$4$	$32.4452131675$	$204799303.4371196$	✓	$S_{11}$ (as 11T8)	trivial	$2$	$6$	$16682.8313573$
11.3.62681703372838449.1	$x^{11} - x^{10} - 12 x^{9} - 9 x^{8} + 57 x^{7} + 39 x^{6} - 3 x^{5} + 297 x^{4} + 135 x^{3} + 61 x^{2} + 5 x + 3$	$11$	[3,4]	$3^{10}\cdot 101^{6}$	$2$	$33.65214868451468$	$78.13681651466719$		$\PSL(2,11)$ (as 11T5)	trivial	$2$	$6$	$46184.871944782644$
11.3.62681703372838449.2	$x^{11} - 2 x^{10} - 2 x^{9} + x^{8} - 11 x^{7} - 23 x^{6} - 133 x^{5} + 32 x^{4} - 94 x^{3} - 493 x^{2} - 22 x - 1$	$11$	[3,4]	$3^{10}\cdot 101^{6}$	$2$	$33.65214868451468$	$78.13681651466719$		$\PSL(2,11)$ (as 11T5)	trivial	$2$	$6$	$46184.871944782644$
11.3.72862986240000000.1	$x^{11} - 2 x^{10} + 4 x^{9} - 20 x^{8} - 31 x^{7} - 58 x^{6} - 148 x^{5} - 8 x^{4} - 92 x^{3} + 120 x^{2} - 24 x + 48$	$11$	[3,4]	$2^{18}\cdot 3^{5}\cdot 5^{7}\cdot 11^{4}$	$4$	$34.1157700733$	$661.0756548434513$	?	$S_{11}$ (as 11T8)	trivial	$2$	$6$	$146089.500828$
11.3.83593920849294336.1	$x^{11} - 8 x - 4$	$11$	[3,4]	$2^{10}\cdot 3\cdot 13\cdot 919\cdot 6323\cdot 360223$	$6$	$34.5445482608$	$16966841.46628536$	?	$S_{11}$ (as 11T8)	trivial	$2$	$6$	$35103.5940115$
11.3.89671040138808576.1	$x^{11} - 2 x^{10} + 2 x^{9} + 20 x^{8} - 40 x^{7} + 28 x^{6} + 126 x^{5} - 324 x^{4} + 39 x^{3} + 374 x^{2} - 544 x - 32$	$11$	[3,4]	$2^{8}\cdot 3^{11}\cdot 7^{11}$	$3$	$34.7656377552$	$290.25151884778506$		$S_{11}$ (as 11T8)	trivial	$2$	$6$	$206621.479686$
11.3.89671040138808576.2	$x^{11} - 3 x^{10} - 6 x^{9} + 43 x^{8} - 24 x^{7} - 126 x^{6} + 266 x^{5} - 69 x^{4} - 339 x^{3} + 533 x^{2} - 342 x + 102$	$11$	[3,4]	$2^{8}\cdot 3^{11}\cdot 7^{11}$	$3$	$34.7656377552$	$202.12508882067576$		$S_{11}$ (as 11T8)	trivial	$2$	$6$	$290222.770104$
11.3.95234227200000000.1	$x^{11} - 3 x^{10} + 18 x^{9} - 44 x^{8} + 117 x^{7} - 147 x^{6} + 201 x^{5} + 3 x^{4} - 234 x^{3} + 182 x^{2} - 63 x + 9$	$11$	[3,4]	$2^{16}\cdot 3^{12}\cdot 5^{8}\cdot 7$	$4$	$34.9563953104$	$684.0534527050523$	?	$S_{11}$ (as 11T8)	trivial	$2$	$6$	$233589.451167$
11.3.153055008000000000.1	$x^{11} - x^{10} + x^{9} + 5 x^{8} - 17 x^{7} + 17 x^{6} + 3 x^{5} - 39 x^{4} + 120 x^{3} - 72 x^{2} - 144 x + 144$	$11$	[3,4]	$2^{14}\cdot 3^{14}\cdot 5^{9}$	$3$	$36.497142874$	$390.2285009403591$	?	$S_{11}$ (as 11T8)	trivial	$2$	$6$	$159756.070307$
11.3.226748160000000000.1	$x^{11} - x^{10} - 20 x^{9} + 25 x^{8} + 170 x^{7} - 219 x^{6} - 651 x^{5} + 930 x^{4} + 900 x^{3} - 1530 x^{2} - 198 x + 648$	$11$	[3,4]	$2^{17}\cdot 3^{11}\cdot 5^{10}$	$3$	$37.8248057615$	$473.34101978069265$		$S_{11}$ (as 11T8)	trivial	$2$	$6$	$335193.325768$
11.3.306163501093434961.1	$x^{11} - 9 x - 4$	$11$	[3,4]	$1823\cdot 7177\cdot 23400427991$	$3$	$38.871574189$	$553320432.5645629$	?	$S_{11}$ (as 11T8)	trivial	$2$	$6$	$72989.2072982$
11.3.327680000000000000.1	$x^{11} - 60 x^{7} - 64 x^{6} - 320 x^{4} - 380 x^{3} - 512 x - 640$	$11$	[3,4]	$2^{28}\cdot 5^{13}$	$2$	$39.1123247706$	$218.2687448255801$	?	$S_{11}$ (as 11T8)	trivial	$2$	$6$	$117177.826866$
11.3.356874190848000000.1	$x^{11} - 5 x^{10} + 3 x^{9} + 13 x^{8} - 44 x^{7} + 128 x^{6} - 60 x^{5} - 116 x^{4} + 44 x^{3} + 108 x^{2} - 500 x + 180$	$11$	[3,4]	$2^{24}\cdot 3^{4}\cdot 5^{6}\cdot 7^{5}$	$4$	$39.4169661709$	$771.9028271909275$		$S_{11}$ (as 11T8)	trivial	$2$	$6$	$789631.273124$
11.3.471433881162091061.1	$x^{11} - 5 x - 3$	$11$	[3,4]	$628638793\cdot 749928077$	$2$	$40.4272888409$	$686610428.963973$	✓	$S_{11}$ (as 11T8)	trivial	$2$	$6$	$100140.225151$

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