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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
10.8.70952789611.1	$x^{10} - x^{9} - 6 x^{8} + 9 x^{7} + 5 x^{6} - 18 x^{5} + 9 x^{4} + 12 x^{3} - 10 x^{2} - 3 x + 1$	$10$	[8,1]	$-\,11^{8}\cdot 331$	$2$	$12.1645752$	$123.88768709435013$			?	$C_2 \times (C_2^4 : C_5)$ (as 10T14)	trivial	trivial	$2$	$8$	$53.0317622972$
10.8.73401286963.1	$x^{10} - x^{9} - 6 x^{8} + 2 x^{7} + 15 x^{6} + 6 x^{5} - 21 x^{4} - 13 x^{3} + 10 x^{2} + 7 x + 1$	$10$	[8,1]	$-\,149\cdot 492626087$	$2$	$12.2059157359$	$270926.71880602697$			✓	$S_{10}$ (as 10T45)	trivial	trivial	$2$	$8$	$54.155958379432334$
10.8.74596123648.1	$x^{10} - 2 x^{9} - 4 x^{8} + 12 x^{7} - x^{6} - 22 x^{5} + 16 x^{4} + 12 x^{3} - 12 x^{2} + 1$	$10$	[8,1]	$-\,2^{10}\cdot 2389\cdot 30493$	$3$	$12.2256406402$	$32692.924261368178$			?	$S_{10}$ (as 10T45)	trivial	trivial	$2$	$8$	$54.77490922278937$
10.8.76575120067.1	$x^{10} - 3 x^{9} - 2 x^{8} + 13 x^{7} - 7 x^{6} - 14 x^{5} + 16 x^{4} + 4 x^{3} - 8 x^{2} + 1$	$10$	[8,1]	$-\,76575120067$	$1$	$12.2576938076$	$276722.09898560686$			✓	$S_{10}$ (as 10T45)	trivial	trivial	$2$	$8$	$55.66483610214309$
10.8.80706729619.1	$x^{10} - x^{9} - 6 x^{8} + 7 x^{7} + 9 x^{6} - 15 x^{5} - x^{4} + 12 x^{3} - 3 x^{2} - 3 x + 1$	$10$	[8,1]	$-\,80706729619$	$1$	$12.3222772153$	$284089.2986703301$			✓	$S_{10}$ (as 10T45)	trivial	trivial	$2$	$8$	$57.46038650739681$
10.8.81895986176.1	$x^{10} - 5 x^{8} - 2 x^{7} + 5 x^{6} + 8 x^{5} + 6 x^{4} - 8 x^{3} - 7 x^{2} + 2 x + 1$	$10$	[8,1]	$-\,2^{10}\cdot 79976549$	$2$	$12.3403154551$	$34255.23464688141$			✓	$S_{10}$ (as 10T45)	trivial	trivial	$2$	$8$	$57.81762271743435$
10.8.82252830707.1	$x^{10} - 6 x^{8} - 2 x^{7} + 11 x^{6} + 10 x^{5} - 6 x^{4} - 14 x^{3} + x^{2} + 5 x - 1$	$10$	[8,1]	$-\,19\cdot 4329096353$	$2$	$12.3456819738$	$286797.54306304647$			✓	$S_{10}$ (as 10T45)	trivial	trivial	$2$	$8$	$58.18502886029211$
10.8.85583036411.1	$x^{10} - x^{9} - 7 x^{8} + 4 x^{7} + 18 x^{6} - 2 x^{5} - 20 x^{4} - 5 x^{3} + 9 x^{2} + 3 x - 1$	$10$	[8,1]	$-\,2377\cdot 36004643$	$2$	$12.3947784696$	$292545.78515336703$			✓	$S_{10}$ (as 10T45)	trivial	trivial	$2$	$8$	$59.36949464534028$
10.8.85992371875.1	$x^{10} - 2 x^{9} - x^{8} - x^{6} + 12 x^{5} - x^{4} - 12 x^{3} + 3 x^{2} + 3 x - 1$	$10$	[8,1]	$-\,5^{5}\cdot 27517559$	$2$	$12.4006940524$	$11729.782393548483$			✓	$S_5^2 \wr C_2$ (as 10T43)	trivial	trivial	$2$	$8$	$59.5393968904$
10.8.88118370211.1	$x^{10} - 4 x^{8} - 4 x^{7} + x^{6} + 13 x^{5} + 6 x^{4} - 10 x^{3} - 5 x^{2} + 2 x + 1$	$10$	[8,1]	$-\,101\cdot 953\cdot 915487$	$3$	$12.4310165774$	$296847.38538683474$			✓	$S_{10}$ (as 10T45)	trivial	trivial	$2$	$8$	$60.626313307166726$
10.8.88642871875.1	$x^{10} - x^{9} - 2 x^{8} - 3 x^{7} - x^{6} + 20 x^{5} + 4 x^{4} - 25 x^{3} - 3 x^{2} + 8 x + 1$	$10$	[8,1]	$-\,5^{5}\cdot 3169\cdot 8951$	$3$	$12.4383960719$	$11909.181122142698$			?	$S_5^2 \wr C_2$ (as 10T43)	trivial	trivial	$2$	$8$	$60.8000036701$
10.8.88849549891.1	$x^{10} - 3 x^{9} - 2 x^{8} + 11 x^{7} - 3 x^{6} - 8 x^{5} + 8 x^{4} - 7 x^{3} - 5 x^{2} + 6 x + 1$	$10$	[8,1]	$-\,6133\cdot 14487127$	$2$	$12.4412931461$	$298076.4161939015$			✓	$S_{10}$ (as 10T45)	trivial	trivial	$2$	$8$	$60.6948622455324$
10.8.90213934375.1	$x^{10} - 3 x^{9} - 2 x^{8} + 12 x^{7} - 9 x^{6} - 9 x^{5} + 26 x^{4} - 9 x^{3} - 15 x^{2} + 10 x - 1$	$10$	[8,1]	$-\,5^{5}\cdot 28868459$	$2$	$12.4602673964$	$12014.253826184962$			?	$S_5^2 \wr C_2$ (as 10T43)	trivial	trivial	$2$	$8$	$61.7768331143$
10.8.90614121875.1	$x^{10} - x^{9} - 7 x^{8} + 9 x^{7} + 9 x^{6} - 15 x^{5} + 4 x^{4} + 3 x^{3} - 8 x^{2} + 3 x + 1$	$10$	[8,1]	$-\,5^{5}\cdot 28996519$	$2$	$12.4657837474$	$12040.871853815237$			?	$S_5^2 \wr C_2$ (as 10T43)	trivial	trivial	$2$	$8$	$61.3722041954$
10.8.91588346875.1	$x^{10} - x^{9} - 7 x^{8} + 5 x^{7} + 14 x^{6} - x^{5} - 11 x^{4} - 8 x^{3} + 2 x^{2} + 4 x + 1$	$10$	[8,1]	$-\,5^{5}\cdot 29308271$	$2$	$12.4791217554$	$12105.426675669058$			✓	$S_5^2 \wr C_2$ (as 10T43)	trivial	trivial	$2$	$8$	$62.0245682628$
10.8.92090628691.1	$x^{10} - 2 x^{9} - 3 x^{8} + 11 x^{7} - 4 x^{6} - 17 x^{5} + 14 x^{4} + 9 x^{3} - 8 x^{2} - x + 1$	$10$	[8,1]	$-\,293\cdot 2957\cdot 106291$	$3$	$12.4859486292$	$303464.37796057714$			✓	$S_{10}$ (as 10T45)	trivial	trivial	$2$	$8$	$62.22305521991119$
10.8.94136471875.1	$x^{10} - 5 x^{8} - 2 x^{7} + 8 x^{5} + 11 x^{4} - 5 x^{3} - 8 x^{2} + 1$	$10$	[8,1]	$-\,5^{5}\cdot 30123671$	$2$	$12.5134133812$	$12272.666988067427$			?	$S_5^2 \wr C_2$ (as 10T43)	trivial	trivial	$2$	$8$	$63.1397878606$
10.8.94459871875.1	$x^{10} - 3 x^{9} + 5 x^{7} - 5 x^{6} + 9 x^{5} + x^{4} - 16 x^{3} + x^{2} + 5 x + 1$	$10$	[8,1]	$-\,5^{5}\cdot 89\cdot 339631$	$3$	$12.5177056552$	$12293.729905931723$			✓	$S_5^2 \wr C_2$ (as 10T43)	trivial	trivial	$2$	$8$	$63.1206767449$
10.8.94747154563.1	$x^{10} - 2 x^{9} - 4 x^{8} + 8 x^{7} + 3 x^{6} - 5 x^{5} - 5 x^{3} + x^{2} + 3 x - 1$	$10$	[8,1]	$-\,221047\cdot 428629$	$2$	$12.5215074897$	$307810.2574038104$			✓	$S_{10}$ (as 10T45)	trivial	trivial	$2$	$8$	$63.50121089079369$
10.8.94822656283.1	$x^{10} - x^{9} - 4 x^{8} + 3 x^{7} + 6 x^{5} + 4 x^{4} - 11 x^{3} + 4 x - 1$	$10$	[8,1]	$-\,111847\cdot 847789$	$2$	$12.5225049407$	$307932.87626201916$			✓	$S_{10}$ (as 10T45)	trivial	trivial	$2$	$8$	$63.3372464135$
10.8.96433540579.1	$x^{10} - x^{9} - 6 x^{8} + 9 x^{7} + 13 x^{6} - 24 x^{5} - 13 x^{4} + 22 x^{3} + 6 x^{2} - 5 x - 1$	$10$	[8,1]	$-\,347\cdot 277906457$	$2$	$12.5436177566$	$310537.502693314$			?	$S_{10}$ (as 10T45)	trivial	$[2]$	$2$	$8$	$64.06708165307384$
10.8.97939335863.1	$x^{10} - 3 x^{9} - x^{8} + 5 x^{7} + 7 x^{5} - 3 x^{4} - 16 x^{3} + x^{2} + 7 x + 1$	$10$	[8,1]	$-\,61^{2}\cdot 167\cdot 397^{2}$	$3$	$12.5630681443$	$2011.0293384234851$			✓	$C_2 \wr S_5$ (as 10T39)	trivial	trivial	$2$	$8$	$64.1923723302$
10.8.98289657019.1	$x^{10} - 4 x^{8} - 3 x^{5} + 11 x^{4} + 8 x^{3} - 7 x^{2} - 6 x - 1$	$10$	[8,1]	$-\,98289657019$	$1$	$12.5675546363$	$313511.81320486154$			✓	$S_{10}$ (as 10T45)	trivial	$[2]$	$2$	$8$	$65.12601137508939$
10.8.99136309375.1	$x^{10} - 3 x^{9} - 4 x^{8} + 17 x^{7} + 3 x^{6} - 32 x^{5} + 3 x^{4} + 21 x^{3} - 4 x^{2} - 4 x + 1$	$10$	[8,1]	$-\,5^{5}\cdot 31723619$	$2$	$12.5783384046$	$12594.367590315918$			✓	$S_5^2 \wr C_2$ (as 10T43)	trivial	trivial	$2$	$8$	$65.3004818161$
10.8.99667039987.1	$x^{10} - x^{9} - 7 x^{8} + 7 x^{7} + 15 x^{6} - 17 x^{5} - 11 x^{4} + 15 x^{3} + 4 x^{2} - 4 x - 1$	$10$	[8,1]	$-\,67\cdot 38569^{2}$	$2$	$12.5850561059$	$1607.5207619188002$			✓	$C_2 \wr S_5$ (as 10T39)	trivial	$[2]$	$2$	$8$	$65.7897705512$
10.8.100564499456.1	$x^{10} - 4 x^{9} + 2 x^{8} + 8 x^{7} - 9 x^{6} + 4 x^{5} - 2 x^{4} - 8 x^{3} + 8 x^{2} - 1$	$10$	[8,1]	$-\,2^{10}\cdot 751\cdot 130769$	$3$	$12.5963427567$	$36349.93274889208$			✓	$S_{10}$ (as 10T45)	trivial	trivial	$2$	$8$	$65.54191510254482$
10.8.103196621875.1	$x^{10} - 4 x^{9} + 2 x^{8} + 7 x^{7} - 9 x^{6} + 6 x^{5} + 3 x^{4} - 12 x^{3} + 3 x^{2} + 3 x - 1$	$10$	[8,1]	$-\,5^{5}\cdot 2129\cdot 15511$	$3$	$12.6289297691$	$12849.692408769946$			?	$S_5^2 \wr C_2$ (as 10T43)	trivial	trivial	$2$	$8$	$66.524358583$
10.8.103545471875.1	$x^{10} - 2 x^{9} - x^{8} + 3 x^{7} - 6 x^{6} + 8 x^{5} + 12 x^{4} - 16 x^{3} - 7 x^{2} + 6 x + 1$	$10$	[8,1]	$-\,5^{5}\cdot 1009\cdot 32839$	$3$	$12.6331924229$	$12871.392892768055$			?	$S_5^2 \wr C_2$ (as 10T43)	trivial	trivial	$2$	$8$	$66.3367474548$
10.8.103764024667.1	$x^{10} - x^{9} - 7 x^{8} + 3 x^{7} + 17 x^{6} + 2 x^{5} - 16 x^{4} - 6 x^{3} + 7 x^{2} + 2 x - 1$	$10$	[8,1]	$-\,103764024667$	$1$	$12.6358563738$	$322124.23793778697$			✓	$S_{10}$ (as 10T45)	trivial	trivial	$2$	$8$	$67.06351326550659$
10.8.104621536619.1	$x^{10} - x^{9} - 4 x^{8} + 2 x^{7} + 2 x^{6} + 7 x^{5} + 2 x^{4} - 12 x^{3} + x^{2} + 4 x - 1$	$10$	[8,1]	$-\,104621536619$	$1$	$12.6462600879$	$323452.52606680937$			✓	$S_{10}$ (as 10T45)	trivial	$[2]$	$2$	$8$	$67.0008439871118$
10.8.104644780979.1	$x^{10} - 8 x^{8} - 3 x^{7} + 20 x^{6} + 12 x^{5} - 19 x^{4} - 11 x^{3} + 8 x^{2} + 2 x - 1$	$10$	[8,1]	$-\,10657\cdot 9819347$	$2$	$12.646541029$	$323488.45571210113$			?	$S_{10}$ (as 10T45)	trivial	trivial	$2$	$8$	$66.95280424564682$
10.8.107012672267.1	$x^{10} - x^{9} - 6 x^{8} + x^{7} + 13 x^{6} + 8 x^{5} - 13 x^{4} - 10 x^{3} + 6 x^{2} + 3 x - 1$	$10$	[8,1]	$-\,139187\cdot 768841$	$2$	$12.6748702112$	$327127.91422775283$			✓	$S_{10}$ (as 10T45)	trivial	$[2]$	$2$	$8$	$67.87483251579735$
10.8.107711957323.1	$x^{10} - 3 x^{9} - 2 x^{8} + 9 x^{7} + 4 x^{6} - 8 x^{5} - 12 x^{4} + 3 x^{3} + 10 x^{2} - 1$	$10$	[8,1]	$-\,101\cdot 1066455023$	$2$	$12.6831284775$	$328194.99893051386$			✓	$S_{10}$ (as 10T45)	trivial	trivial	$2$	$8$	$68.16687858443392$
10.8.108076720883.1	$x^{10} - 7 x^{8} - x^{7} + 16 x^{6} + 6 x^{5} - 16 x^{4} - 8 x^{3} + 7 x^{2} + 2 x - 1$	$10$	[8,1]	$-\,521\cdot 12119\cdot 17117$	$3$	$12.6874170524$	$328750.2408866038$			✓	$S_{10}$ (as 10T45)	trivial	trivial	$2$	$8$	$68.69218574223795$
10.8.108727098211.1	$x^{10} - x^{9} - 8 x^{8} + 6 x^{7} + 22 x^{6} - 12 x^{5} - 25 x^{4} + 8 x^{3} + 10 x^{2} - x - 1$	$10$	[8,1]	$-\,223319\cdot 486869$	$2$	$12.69503141$	$329737.92352563876$			✓	$S_{10}$ (as 10T45)	trivial	trivial	$2$	$8$	$68.77611250249943$
10.8.110978730539.1	$x^{10} - x^{9} - 5 x^{8} + 6 x^{7} + 4 x^{6} - 9 x^{5} + 7 x^{4} + 3 x^{3} - 8 x^{2} + 1$	$10$	[8,1]	$-\,401\cdot 276754939$	$2$	$12.72107975$	$333134.70329432806$			✓	$S_{10}$ (as 10T45)	trivial	$[2]$	$2$	$8$	$69.79242923414478$
10.8.111511052371.1	$x^{10} - x^{9} - 3 x^{8} + 6 x^{7} - 7 x^{6} - 4 x^{5} + 19 x^{4} - 2 x^{3} - 11 x^{2} + 1$	$10$	[8,1]	$-\,1171\cdot 95227201$	$2$	$12.7271684267$	$333932.70635114494$			✓	$S_{10}$ (as 10T45)	trivial	trivial	$2$	$8$	$70.16935720884479$
10.8.111579297443.1	$x^{10} - 4 x^{9} + 2 x^{8} + 6 x^{7} - 3 x^{6} + 4 x^{5} - 9 x^{4} - 12 x^{3} + 8 x^{2} + 7 x + 1$	$10$	[8,1]	$-\,113\cdot 987427411$	$2$	$12.7279471185$	$334034.8745909624$			✓	$S_{10}$ (as 10T45)	trivial	trivial	$2$	$8$	$69.69217469306787$
10.8.112791868547.1	$x^{10} - 8 x^{8} - 2 x^{7} + 20 x^{6} + 8 x^{5} - 19 x^{4} - 9 x^{3} + 7 x^{2} + 2 x - 1$	$10$	[8,1]	$-\,271\cdot 1723\cdot 241559$	$3$	$12.7417118418$	$335845.0067322723$			✓	$S_{10}$ (as 10T45)	trivial	trivial	$2$	$8$	$69.93986059453223$
10.8.113109434387.1	$x^{10} - x^{9} - 2 x^{8} + 5 x^{7} - 8 x^{6} - 9 x^{5} + 23 x^{4} + 6 x^{3} - 15 x^{2} + 1$	$10$	[8,1]	$-\,113109434387$	$1$	$12.7452947374$	$336317.46072275226$			?	$S_{10}$ (as 10T45)	trivial	trivial	$2$	$8$	$71.51077428068783$
10.8.113379547139.1	$x^{10} - x^{9} - 6 x^{8} + 4 x^{7} + 12 x^{6} - x^{5} - 13 x^{4} - 4 x^{3} + 7 x^{2} + x - 1$	$10$	[8,1]	$-\,79\cdot 4799\cdot 299059$	$3$	$12.7483351316$	$336718.7953456118$			✓	$S_{10}$ (as 10T45)	trivial	trivial	$2$	$8$	$71.17682538218565$
10.8.113709931627.1	$x^{10} - 3 x^{9} - x^{8} + 8 x^{7} - 4 x^{6} - x^{5} + 6 x^{4} - 7 x^{3} - 4 x^{2} + 3 x + 1$	$10$	[8,1]	$-\,349\cdot 325816423$	$2$	$12.7520450947$	$337209.0325406483$			✓	$S_{10}$ (as 10T45)	trivial	trivial	$2$	$8$	$71.10461994175958$
10.8.113849658368.1	$x^{10} - 2 x^{9} - 4 x^{8} + 4 x^{7} + 13 x^{6} - 2 x^{5} - 18 x^{4} + 8 x^{2} - 1$	$10$	[8,1]	$-\,2^{10}\cdot 111181307$	$2$	$12.7536112$	$38676.496738877$			✓	$S_{10}$ (as 10T45)	trivial	trivial	$2$	$8$	$70.27531624022097$
10.8.114095358976.1	$x^{10} - 5 x^{8} + 2 x^{6} - 6 x^{5} + 7 x^{4} + 8 x^{3} - 5 x^{2} - 2 x + 1$	$10$	[8,1]	$-\,2^{10}\cdot 5081\cdot 21929$	$3$	$12.7563609061$	$40432.40993696308$			✓	$S_{10}$ (as 10T45)	trivial	trivial	$2$	$8$	$71.21203495941154$
10.8.114458329088.1	$x^{10} - 2 x^{9} - 5 x^{8} + 12 x^{7} + x^{6} - 20 x^{5} + 13 x^{4} + 10 x^{3} - 10 x^{2} + 1$	$10$	[8,1]	$-\,2^{15}\cdot 3492991$	$2$	$12.760413273$	$5286.2016609281945$			?	$S_5^2 \wr C_2$ (as 10T43)	trivial	trivial	$2$	$8$	$71.1467531844$
10.8.115079251267.1	$x^{10} - 4 x^{9} + 2 x^{8} + 10 x^{7} - 15 x^{6} + 2 x^{5} + 16 x^{4} - 16 x^{3} - 3 x^{2} + 7 x - 1$	$10$	[8,1]	$-\,98041\cdot 1173787$	$2$	$12.7673187973$	$339233.3286500606$			✓	$S_{10}$ (as 10T45)	trivial	$[2]$	$2$	$8$	$71.78040128402593$
10.8.117161033728.1	$x^{10} - 6 x^{8} - 2 x^{7} + 10 x^{6} + 10 x^{5} - 5 x^{4} - 12 x^{3} + 2 x^{2} + 4 x - 1$	$10$	[8,1]	$-\,2^{15}\cdot 3575471$	$2$	$12.7902289765$	$5348.249059271641$			?	$S_5^2 \wr C_2$ (as 10T43)	trivial	trivial	$2$	$8$	$71.6352667759$
10.8.117333345203.1	$x^{10} - 2 x^{9} - 2 x^{8} + 11 x^{7} - 7 x^{6} - 19 x^{5} + 14 x^{4} + 11 x^{3} - 7 x^{2} - 2 x + 1$	$10$	[8,1]	$-\,1973\cdot 59469511$	$2$	$12.7921088217$	$342539.55275705026$			?	$S_{10}$ (as 10T45)	trivial	trivial	$2$	$8$	$72.0565228446983$
10.8.120062096875.1	$x^{10} - 5 x^{8} - 2 x^{7} + 5 x^{6} + 8 x^{5} + 6 x^{4} - 10 x^{3} - 8 x^{2} + 5 x + 1$	$10$	[8,1]	$-\,5^{5}\cdot 7^{2}\cdot 739\cdot 1061$	$4$	$12.821551833$	$5238.5842553117345$			✓	$S_5^2 \wr C_2$ (as 10T43)	trivial	$[2]$	$2$	$8$	$74.01211403074863$
10.8.121442676499.1	$x^{10} - 2 x^{9} - 5 x^{8} + 8 x^{7} + 11 x^{6} - 9 x^{5} - 14 x^{4} + 3 x^{3} + 8 x^{2} - x - 1$	$10$	[8,1]	$-\,121442676499$	$1$	$12.836219443$	$348486.264433765$			✓	$S_{10}$ (as 10T45)	trivial	trivial	$2$	$8$	$74.45174532336041$

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