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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
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	$2$	$8$	$53.0317622972$
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	$2$	$8$	$54.155958379432334$
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	$2$	$8$	$54.77490922278937$
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	$2$	$8$	$55.66483610214309$
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	$2$	$8$	$57.46038650739681$
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	$2$	$8$	$57.81762271743435$
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	$2$	$8$	$58.18502886029211$
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	$2$	$8$	$59.36949464534028$
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	$2$	$8$	$59.5393968904$
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	$2$	$8$	$60.626313307166726$
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	$2$	$8$	$60.8000036701$
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	$2$	$8$	$60.6948622455324$
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	$2$	$8$	$61.7768331143$
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	$2$	$8$	$61.3722041954$
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	$2$	$8$	$62.0245682628$
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	$2$	$8$	$62.22305521991119$
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	$2$	$8$	$63.1397878606$
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	$2$	$8$	$63.1206767449$
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	$2$	$8$	$63.50121089079369$
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	$2$	$8$	$63.3372464135$
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	$2$	$8$	$64.06708165307384$
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	$2$	$8$	$64.1923723302$
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	$2$	$8$	$65.12601137508939$
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	$2$	$8$	$65.3004818161$
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	$2$	$8$	$65.7897705512$
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	$2$	$8$	$65.54191510254482$
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	$2$	$8$	$66.524358583$
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	$2$	$8$	$66.3367474548$
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	$2$	$8$	$67.06351326550659$
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	$2$	$8$	$67.0008439871118$
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	$2$	$8$	$66.95280424564682$
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	$2$	$8$	$67.87483251579735$
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	$2$	$8$	$68.16687858443392$
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	$2$	$8$	$68.69218574223795$
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	$2$	$8$	$68.77611250249943$
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	$2$	$8$	$69.79242923414478$
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	$2$	$8$	$70.16935720884479$
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	$2$	$8$	$69.69217469306787$
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	$2$	$8$	$69.93986059453223$
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	$2$	$8$	$71.51077428068783$
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	$2$	$8$	$71.17682538218565$
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	$2$	$8$	$71.10461994175958$
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	$2$	$8$	$70.27531624022097$
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	$2$	$8$	$71.21203495941154$
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	$2$	$8$	$71.1467531844$
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	$2$	$8$	$71.78040128402593$
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	$2$	$8$	$71.6352667759$
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	$2$	$8$	$72.0565228446983$
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	$2$	$8$	$74.01211403074863$
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	$2$	$8$	$74.45174532336041$

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