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Label	Polynomial	Degree	Signature	Discriminant	Ram. prime count	Root discriminant	Galois root discriminant	CM field	Galois	Monogenic	Galois group	Class group	Narrow class group	Unit group torsion	Unit group rank	Regulator
8.0.12075625.1	$x^{8} - x^{7} + 2 x^{4} - 2 x^{3} + 2 x^{2} - 2 x + 1$	$8$	[0,4]	$5^{4}\cdot 139^{2}$	$2$	$7.67783371875$	$60.001420981750954$			✓	$A_4\wr C_2$ (as 8T42)	trivial	trivial	$2$	$3$	$1.57942515871$
8.0.38340864.1	$x^{8} + 4 x^{6} - 4 x^{5} + 6 x^{4} - 8 x^{3} + 8 x^{2} - 4 x + 4$	$8$	[0,4]	$2^{8}\cdot 3^{4}\cdot 43^{2}$	$3$	$8.87069683236$	$47.724485964964835$			?	$A_4\wr C_2$ (as 8T42)	trivial	trivial	$6$	$3$	$11.0194555044$
8.0.43454464.1	$x^{8} - 2 x^{7} + 5 x^{6} - 6 x^{5} + 9 x^{4} - 10 x^{3} + 8 x^{2} - 4 x + 1$	$8$	[0,4]	$2^{12}\cdot 103^{2}$	$2$	$9.01061221676$	$62.14933365424415$			✓	$A_4\wr C_2$ (as 8T42)	trivial	trivial	$2$	$3$	$4.78324799999$
8.0.45373696.1	$x^{8} - 2 x^{7} - x^{6} + 4 x^{5} + 2 x^{4} - 4 x^{3} - 3 x^{2} + 2 x + 2$	$8$	[0,4]	$2^{8}\cdot 421^{2}$	$2$	$9.05942261487$	$112.34439062252571$			✓	$A_4\wr C_2$ (as 8T42)	trivial	trivial	$4$	$3$	$10.0546931342$
8.0.48664576.1	$x^{8} - 2 x^{7} - 2 x^{4} + 8 x^{3} - 8 x + 4$	$8$	[0,4]	$2^{12}\cdot 109^{2}$	$2$	$9.13906188136$	$64.54005415137591$			?	$A_4\wr C_2$ (as 8T42)	trivial	trivial	$4$	$3$	$7.92988432424$
8.0.53275401.1	$x^{8} - 3 x^{7} + 6 x^{6} - 11 x^{5} + 11 x^{4} - 9 x^{3} + 10 x^{2} - 5 x + 1$	$8$	[0,4]	$3^{4}\cdot 811^{2}$	$2$	$9.24306146227$	$150.62874701912094$			?	$A_4\wr C_2$ (as 8T42)	trivial	trivial	$6$	$3$	$10.6891317293$
8.0.57760000.3	$x^{8} + 4 x^{6} - 6 x^{5} + 7 x^{4} - 12 x^{3} + 10 x^{2} - 4 x + 1$	$8$	[0,4]	$2^{8}\cdot 5^{4}\cdot 19^{2}$	$3$	$9.33691484757$	$38.97784406822943$			?	$A_4\wr C_2$ (as 8T42)	trivial	trivial	$2$	$3$	$4.03157028896$
8.0.60964864.1	$x^{8} - 2 x^{7} + 4 x^{4} - 4 x^{3} + 2$	$8$	[0,4]	$2^{14}\cdot 61^{2}$	$2$	$9.40015362308$	$52.12215728304279$			✓	$A_4\wr C_2$ (as 8T42)	trivial	trivial	$4$	$3$	$11.3024007471$
8.0.61449921.1	$x^{8} - x^{7} - 4 x^{6} + 4 x^{5} + 8 x^{4} - 8 x^{3} - 7 x^{2} + 6 x + 4$	$8$	[0,4]	$3^{4}\cdot 13^{2}\cdot 67^{2}$	$3$	$9.4094700903$	$157.96931346198426$			?	$A_4\wr C_2$ (as 8T42)	trivial	trivial	$6$	$3$	$14.7288521884$
8.0.62410000.1	$x^{8} - x^{7} + x^{6} + 2 x^{5} + 4 x^{4} + 2 x^{3} + 3 x^{2} + 3 x + 1$	$8$	[0,4]	$2^{4}\cdot 5^{4}\cdot 79^{2}$	$3$	$9.42772210946$	$65.35162537261547$				$A_4\wr C_2$ (as 8T42)	trivial	trivial	$2$	$3$	$4.93269274523$
8.0.74926336.1	$x^{8} - 2 x^{7} + 4 x^{5} - 3 x^{4} - 6 x^{3} + 3 x^{2} + 6 x + 2$	$8$	[0,4]	$2^{8}\cdot 541^{2}$	$2$	$9.64560142225$	$132.7888181904634$			✓	$A_4\wr C_2$ (as 8T42)	trivial	trivial	$4$	$3$	$13.7697789135$
8.0.93083904.2	$x^{8} - 2 x^{7} - 2 x^{6} + 4 x^{5} - 3 x^{4} + 2 x^{3} + 10 x^{2} - 4 x + 1$	$8$	[0,4]	$2^{8}\cdot 3^{4}\cdot 67^{2}$	$3$	$9.9108139556$	$69.94782909158893$			?	$A_4\wr C_2$ (as 8T42)	trivial	trivial	$6$	$3$	$15.9545568864$
8.0.97831881.1	$x^{8} - 2 x^{7} + x^{6} - 2 x^{5} + 6 x^{4} - 13 x^{3} + 16 x^{2} - 7 x + 1$	$8$	[0,4]	$3^{4}\cdot 7^{2}\cdot 157^{2}$	$3$	$9.97263790206$	$184.4558452935264$			?	$A_4\wr C_2$ (as 8T42)	$[2]$	$[2]$	$6$	$3$	$8.80125352986$
8.0.119771136.4	$x^{8} - 2 x^{7} - 4 x^{5} + 13 x^{4} - 16 x^{2} + 2 x + 7$	$8$	[0,4]	$2^{12}\cdot 3^{4}\cdot 19^{2}$	$3$	$10.228077759$	$45.23704936610096$			?	$A_4\wr C_2$ (as 8T42)	trivial	trivial	$6$	$3$	$22.5516623471$
8.0.123743376.1	$x^{8} + 4 x^{6} + 9 x^{4} - 6 x^{3} + 10 x^{2} - 6 x + 1$	$8$	[0,4]	$2^{4}\cdot 3^{6}\cdot 103^{2}$	$3$	$10.2698770678$	$79.50951200469119$				$A_4\wr C_2$ (as 8T42)	trivial	trivial	$6$	$3$	$20.2949692451$
8.0.129413376.3	$x^{8} - 2 x^{6} - 2 x^{5} - 4 x^{3} + 2 x^{2} + 10 x + 7$	$8$	[0,4]	$2^{8}\cdot 3^{4}\cdot 79^{2}$	$3$	$10.3275521305$	$78.06848759601218$			?	$A_4\wr C_2$ (as 8T42)	trivial	trivial	$6$	$3$	$23.4052313214$
8.0.130028409.2	$x^{8} - x^{7} - 7 x^{6} + 4 x^{5} + 17 x^{4} - 2 x^{3} - 13 x^{2} + 4$	$8$	[0,4]	$3^{4}\cdot 7^{2}\cdot 181^{2}$	$3$	$10.3336745828$	$146.63197942793$			?	$A_4\wr C_2$ (as 8T42)	trivial	trivial	$6$	$3$	$20.4530059805$
8.0.153760000.2	$x^{8} + 2 x^{6} - 4 x^{5} - x^{4} - 4 x^{3} + 12 x^{2} - 6 x + 1$	$8$	[0,4]	$2^{8}\cdot 5^{4}\cdot 31^{2}$	$3$	$10.5525014692$	$49.53678227339611$			?	$A_4\wr C_2$ (as 8T42)	trivial	trivial	$2$	$3$	$6.5191942861$
8.0.154157056.1	$x^{8} - 2 x^{7} + 8 x^{4} - 12 x^{3} + 4 x^{2} + 2$	$8$	[0,4]	$2^{14}\cdot 97^{2}$	$2$	$10.555903856$	$71.00958621089266$			?	$A_4\wr C_2$ (as 8T42)	trivial	trivial	$4$	$3$	$19.1177910532$
8.0.155825289.1	$x^{8} - 2 x^{7} + 5 x^{6} - 9 x^{5} + 14 x^{4} - 9 x^{3} + 17 x^{2} - 2 x + 4$	$8$	[0,4]	$3^{4}\cdot 19^{2}\cdot 73^{2}$	$3$	$10.5701157372$	$131.87202279536893$			?	$A_4\wr C_2$ (as 8T42)	trivial	trivial	$6$	$3$	$21.6655827054$
8.0.171714816.10	$x^{8} - 2 x^{7} + 2 x^{6} - 6 x^{5} + 3 x^{4} + 8 x^{3} - 2 x^{2} - 6 x + 3$	$8$	[0,4]	$2^{8}\cdot 3^{4}\cdot 7^{2}\cdot 13^{2}$	$4$	$10.6991917531$	$62.025312347199474$			?	$A_4\wr C_2$ (as 8T42)	trivial	trivial	$6$	$3$	$26.6360238146$
8.0.174556944.1	$x^{8} - 3 x^{7} + 6 x^{6} - 3 x^{5} - 4 x^{4} + 9 x^{3} - 3 x + 1$	$8$	[0,4]	$2^{4}\cdot 3^{4}\cdot 367^{2}$	$3$	$10.7211689831$	$140.93688462782592$				$A_4\wr C_2$ (as 8T42)	trivial	trivial	$6$	$3$	$27.7958117446$
8.0.177209344.3	$x^{8} - 4 x^{6} - 4 x^{5} + 2 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 2$	$8$	[0,4]	$2^{20}\cdot 13^{2}$	$2$	$10.7413984571$	$35.616153539817454$			?	$A_4\wr C_2$ (as 8T42)	trivial	trivial	$4$	$3$	$24.5443355839$
8.0.186267904.1	$x^{8} - 4 x^{7} + 4 x^{6} + 5 x^{4} - 10 x^{3} - x^{2} + 2 x + 5$	$8$	[0,4]	$2^{8}\cdot 853^{2}$	$2$	$10.8085454587$	$179.8854415096055$			✓	$A_4\wr C_2$ (as 8T42)	trivial	trivial	$4$	$3$	$24.9543942823$
8.0.192876544.2	$x^{8} + 2 x^{6} - 2 x^{5} + x^{4} - 2 x^{3} + 3 x^{2} - 2 x + 1$	$8$	[0,4]	$2^{12}\cdot 7^{2}\cdot 31^{2}$	$3$	$10.8557523416$	$102.13740417696422$			✓	$A_4\wr C_2$ (as 8T42)	trivial	trivial	$2$	$3$	$12.4502598657$
8.0.196897024.1	$x^{8} - 5 x^{6} - 2 x^{5} + 12 x^{4} + 2 x^{3} - 11 x^{2} + 4$	$8$	[0,4]	$2^{8}\cdot 877^{2}$	$2$	$10.8837834947$	$183.24398364233434$			?	$A_4\wr C_2$ (as 8T42)	$[2]$	$[2]$	$4$	$3$	$12.0775015287$
8.0.203689984.5	$x^{8} - 2 x^{7} + 3 x^{6} - 2 x^{5} + 6 x^{4} - 6 x^{3} + 5 x^{2} - 2 x + 1$	$8$	[0,4]	$2^{12}\cdot 223^{2}$	$2$	$10.9300263579$	$104.01155011920754$				$A_4\wr C_2$ (as 8T42)	trivial	trivial	$2$	$3$	$9.42900393812$
8.0.216825625.2	$x^{8} - x^{7} + 3 x^{6} - 6 x^{5} + 7 x^{4} - 6 x^{3} + 11 x^{2} - 2 x + 4$	$8$	[0,4]	$5^{4}\cdot 19^{2}\cdot 31^{2}$	$3$	$11.0157437786$	$157.11893693679158$			?	$A_4\wr C_2$ (as 8T42)	trivial	trivial	$2$	$3$	$7.38106061983$
8.0.242705241.1	$x^{8} + 4 x^{6} - 6 x^{5} + 3 x^{4} - 12 x^{3} + x^{2} + 12 x + 4$	$8$	[0,4]	$3^{6}\cdot 577^{2}$	$2$	$11.1721020572$	$157.9882601639361$			?	$A_4\wr C_2$ (as 8T42)	trivial	trivial	$6$	$3$	$24.772068858$
8.0.247212729.1	$x^{8} - 3 x^{7} + 9 x^{6} - 20 x^{5} + 26 x^{4} - 27 x^{3} + 22 x^{2} - 8 x + 1$	$8$	[0,4]	$3^{4}\cdot 1747^{2}$	$2$	$11.1978295783$	$251.2402579827221$			?	$A_4\wr C_2$ (as 8T42)	trivial	trivial	$6$	$3$	$30.4979273787$
8.0.260112384.9	$x^{8} + 4 x^{6} - 4 x^{5} + 4 x^{4} - 8 x^{3} + 16 x^{2} - 12 x + 3$	$8$	[0,4]	$2^{16}\cdot 3^{4}\cdot 7^{2}$	$3$	$11.269252989$	$36.90432160888472$			?	$A_4\wr C_2$ (as 8T42)	trivial	trivial	$6$	$3$	$38.0842898713$
8.0.283855104.1	$x^{8} - 2 x^{7} - 2 x^{6} + 2 x^{5} + 11 x^{4} - 4 x^{3} - 20 x^{2} + 4 x + 13$	$8$	[0,4]	$2^{8}\cdot 3^{8}\cdot 13^{2}$	$3$	$11.3929735327$	$48.76416324300612$			✓	$A_4\wr C_2$ (as 8T42)	trivial	trivial	$6$	$3$	$46.620513672$
8.0.304537401.1	$x^{8} - x^{7} - 4 x^{5} - 2 x^{4} + 24 x^{3} - 18 x + 9$	$8$	[0,4]	$3^{4}\cdot 7^{2}\cdot 277^{2}$	$3$	$11.4935735582$	$269.3265492648009$			?	$A_4\wr C_2$ (as 8T42)	trivial	trivial	$6$	$3$	$32.2709296191$
8.0.327610000.1	$x^{8} - 3 x^{7} + 9 x^{6} - 16 x^{5} + 28 x^{4} - 30 x^{3} + 28 x^{2} - 12 x + 4$	$8$	[0,4]	$2^{4}\cdot 5^{4}\cdot 181^{2}$	$3$	$11.5989758371$	$113.57708439925239$				$A_4\wr C_2$ (as 8T42)	trivial	trivial	$2$	$3$	$10.4601782793$
8.0.336098889.3	$x^{8} - 2 x^{7} + 2 x^{6} + x^{5} - 5 x^{4} + 8 x^{3} - x^{2} - 10 x + 7$	$8$	[0,4]	$3^{6}\cdot 7^{2}\cdot 97^{2}$	$3$	$11.6361251779$	$176.09787848408035$			?	$A_4\wr C_2$ (as 8T42)	trivial	trivial	$6$	$3$	$34.2133769715$
8.0.338412816.1	$x^{8} - x^{7} + 5 x^{6} + 16 x^{4} + 8 x^{3} + 21 x^{2} + 7 x + 7$	$8$	[0,4]	$2^{4}\cdot 3^{4}\cdot 7^{2}\cdot 73^{2}$	$4$	$11.6461089925$	$175.73619728098174$				$A_4\wr C_2$ (as 8T42)	trivial	trivial	$6$	$3$	$47.6240524143$
8.0.344882041.1	$x^{8} - x^{7} + x^{6} - 3 x^{5} - 4 x^{4} + 3 x^{3} + 10 x^{2} + 7 x + 2$	$8$	[0,4]	$7^{4}\cdot 379^{2}$	$2$	$11.6737079087$	$138.56126086965773$				$A_4\wr C_2$ (as 8T42)	trivial	trivial	$2$	$3$	$21.7207747882$
8.0.349428249.2	$x^{8} - x^{7} - 4 x^{6} + 6 x^{5} + 6 x^{4} - 14 x^{3} - 8 x^{2} + 12 x + 9$	$8$	[0,4]	$3^{4}\cdot 31^{2}\cdot 67^{2}$	$3$	$11.6928331204$	$281.9583486626141$			?	$A_4\wr C_2$ (as 8T42)	trivial	trivial	$6$	$3$	$40.4717257849$
8.0.366799104.7	$x^{8} + 6 x^{6} - 6 x^{5} + 11 x^{4} - 24 x^{3} + 6 x^{2} + 6 x + 1$	$8$	[0,4]	$2^{8}\cdot 3^{4}\cdot 7^{2}\cdot 19^{2}$	$4$	$11.7639598408$	$110.48215389533848$			?	$A_4\wr C_2$ (as 8T42)	trivial	trivial	$6$	$3$	$37.2023783884$
8.0.366799104.8	$x^{8} - 2 x^{7} + 4 x^{6} + 6 x^{5} - 16 x^{4} + 4 x^{3} + 12 x^{2} - 12 x + 4$	$8$	[0,4]	$2^{8}\cdot 3^{4}\cdot 7^{2}\cdot 19^{2}$	$4$	$11.7639598408$	$67.63422722739293$			?	$A_4\wr C_2$ (as 8T42)	trivial	trivial	$6$	$3$	$45.9624058449$
8.0.381069441.1	$x^{8} - 2 x^{7} + x^{6} + 4 x^{5} - 5 x^{4} + x^{3} + 16 x^{2} - 8 x + 1$	$8$	[0,4]	$3^{8}\cdot 241^{2}$	$2$	$11.820218791$	$139.52525520523426$			?	$A_4\wr C_2$ (as 8T42)	trivial	trivial	$6$	$3$	$53.0011937987$
8.0.384591321.1	$x^{8} - x^{7} + x^{6} - 10 x^{5} + 21 x^{4} - 26 x^{3} + 22 x^{2} - 8 x + 1$	$8$	[0,4]	$3^{4}\cdot 2179^{2}$	$2$	$11.8338193414$	$291.1155791803159$			?	$A_4\wr C_2$ (as 8T42)	$[2]$	$[2]$	$6$	$3$	$13.4161123827$
8.0.400280049.2	$x^{8} - 3 x^{7} - 2 x^{5} + 12 x^{4} + 6 x^{3} - 8 x^{2} + 3$	$8$	[0,4]	$3^{8}\cdot 13^{2}\cdot 19^{2}$	$3$	$11.8931115697$	$86.82547459024046$			?	$A_4\wr C_2$ (as 8T42)	trivial	trivial	$6$	$3$	$59.298735484$
8.0.400640256.3	$x^{8} - 6 x^{6} - 2 x^{5} + 11 x^{4} + 12 x^{3} + 10 x^{2} + 4 x + 1$	$8$	[0,4]	$2^{8}\cdot 3^{4}\cdot 139^{2}$	$3$	$11.8944488511$	$113.78043031547784$			?	$A_4\wr C_2$ (as 8T42)	trivial	trivial	$6$	$3$	$40.8179457755$
8.0.416649744.1	$x^{8} - 3 x^{7} + 5 x^{5} + 6 x^{4} - 15 x^{3} - 2 x^{2} + 9 x + 3$	$8$	[0,4]	$2^{4}\cdot 3^{12}\cdot 7^{2}$	$3$	$11.9528478112$	$45.39399467189076$				$A_4\wr C_2$ (as 8T42)	trivial	trivial	$6$	$3$	$67.4237011979$
8.0.434847609.2	$x^{8} - 2 x^{7} - 2 x^{6} + 6 x^{5} - x^{4} + 4 x^{3} + 21 x^{2} - 9 x + 1$	$8$	[0,4]	$3^{4}\cdot 7^{2}\cdot 331^{2}$	$3$	$12.016891385$	$303.28061345950033$			?	$A_4\wr C_2$ (as 8T42)	trivial	trivial	$6$	$3$	$43.8562202119$
8.0.454201344.2	$x^{8} - 2 x^{7} - 4 x^{6} + 14 x^{5} - 4 x^{4} - 22 x^{3} + 20 x^{2} - 6 x + 7$	$8$	[0,4]	$2^{12}\cdot 3^{4}\cdot 37^{2}$	$3$	$12.0824790804$	$54.39681060743917$			?	$A_4\wr C_2$ (as 8T42)	trivial	trivial	$6$	$3$	$41.9593457515$
8.0.465178624.4	$x^{8} - 2 x^{6} - 2 x^{5} + 3 x^{4} + 2 x^{3} + x^{2} - 4 x + 2$	$8$	[0,4]	$2^{12}\cdot 337^{2}$	$2$	$12.118600497$	$136.97193594694394$			?	$A_4\wr C_2$ (as 8T42)	trivial	trivial	$2$	$3$	$19.516118836$
8.0.471628089.1	$x^{8} - 3 x^{7} + x^{6} + 8 x^{5} - 13 x^{4} - 8 x^{3} + 39 x^{2} - 44 x + 28$	$8$	[0,4]	$3^{4}\cdot 19^{2}\cdot 127^{2}$	$3$	$12.1394764751$	$311.60099943392913$			?	$A_4\wr C_2$ (as 8T42)	trivial	trivial	$6$	$3$	$36.3727162117$
8.0.472801536.1	$x^{8} - 2 x^{6} - 6 x^{5} + 3 x^{4} + 24 x^{3} + 52 x^{2} + 48 x + 19$	$8$	[0,4]	$2^{8}\cdot 3^{4}\cdot 151^{2}$	$3$	$12.1432478658$	$120.23816414831842$			?	$A_4\wr C_2$ (as 8T42)	trivial	trivial	$6$	$3$	$34.686737521$

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