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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
4.0.3136.1	$x^{4} - 2 x^{3} + 2 x^{2} + 2$	$4$	[0,2]	$2^{6}\cdot 7^{2}$	$2$	$7.48331477355$	$10.350079527967589$	✓	$A_4$ (as 4T4)	trivial	$2$	$1$	$2.89814944536$
4.0.4225.1	$x^{4} - x^{3} - 3 x + 4$	$4$	[0,2]	$5^{2}\cdot 13^{2}$	$2$	$8.0622577483$	$12.362716315674692$	✓	$A_4$ (as 4T4)	$[2]$	$2$	$1$	$1.5729532878$
4.0.5184.1	$x^{4} - 2 x^{3} + 6 x^{2} - 4 x + 2$	$4$	[0,2]	$2^{6}\cdot 3^{4}$	$2$	$8.48528137424$	$12.237893415933033$	✓	$A_4$ (as 4T4)	trivial	$2$	$1$	$4.74604040898$
4.0.8281.1	$x^{4} - x^{3} + 5 x^{2} - 4 x + 3$	$4$	[0,2]	$7^{2}\cdot 13^{2}$	$2$	$9.53939201417$	$13.193814370085985$	✓	$A_4$ (as 4T4)	$[2]$	$2$	$1$	$2.66193075$
4.0.10816.1	$x^{4} - 2 x^{3} + 2 x^{2} + 4 x + 2$	$4$	[0,2]	$2^{6}\cdot 13^{2}$	$2$	$10.1980390272$	$15.637736649622886$	✓	$A_4$ (as 4T4)	trivial	$2$	$1$	$4.96532021813$
4.0.15376.1	$x^{4} + 7 x^{2} - 2 x + 14$	$4$	[0,2]	$2^{4}\cdot 31^{2}$	$2$	$11.1355287257$	$19.736544806437948$		$A_4$ (as 4T4)	$[4]$	$2$	$1$	$2.92897443712$
4.0.17689.1	$x^{4} + 3 x^{2} - 7 x + 4$	$4$	[0,2]	$7^{2}\cdot 19^{2}$	$2$	$11.5325625947$	$18.838721275076466$	✓	$A_4$ (as 4T4)	$[4]$	$2$	$1$	$2.03622616194$
4.0.23104.1	$x^{4} - 2 x^{3} + 10 x^{2} - 8 x + 2$	$4$	[0,2]	$2^{6}\cdot 19^{2}$	$2$	$12.3288280059$	$20.13944017607579$	✓	$A_4$ (as 4T4)	trivial	$2$	$1$	$7.30653189653$
4.0.23409.1	$x^{4} - x^{3} + 6 x^{2} - 5 x + 8$	$4$	[0,2]	$3^{4}\cdot 17^{2}$	$2$	$12.3693168769$	$17.839641950637386$	✓	$A_4$ (as 4T4)	$[2]$	$2$	$1$	$5.93153383032$
4.4.26569.1	$x^{4} - x^{3} - 7 x^{2} + 2 x + 9$	$4$	[4,0]	$163^{2}$	$1$	$12.7671453348$	$29.839513369337443$	✓	$A_4$ (as 4T4)	trivial	$2$	$3$	$15.7092112624$
4.0.29241.1	$x^{4} - x^{3} + 3 x^{2} + x + 20$	$4$	[0,2]	$3^{4}\cdot 19^{2}$	$2$	$13.0766968306$	$18.859860385004858$		$A_4$ (as 4T4)	$[4]$	$2$	$1$	$3.40952909212$
4.0.29584.1	$x^{4} - 2 x^{3} + 2 x^{2} + 10 x + 9$	$4$	[0,2]	$2^{4}\cdot 43^{2}$	$2$	$13.1148770486$	$24.54759593904292$		$A_4$ (as 4T4)	$[2]$	$2$	$1$	$3.69556149659$
4.4.33489.1	$x^{4} - 7 x^{2} - 3 x + 1$	$4$	[4,0]	$3^{2}\cdot 61^{2}$	$2$	$13.5277492585$	$26.839876760292654$	✓	$A_4$ (as 4T4)	trivial	$2$	$3$	$15.9211987195$
4.0.40401.1	$x^{4} - x^{3} + 4 x^{2} - 12 x + 24$	$4$	[0,2]	$3^{2}\cdot 67^{2}$	$2$	$14.1774468788$	$28.57220971835363$		$A_4$ (as 4T4)	$[4]$	$2$	$1$	$3.58601958256$
4.0.41209.1	$x^{4} - x^{3} + 5 x^{2} - 6 x + 7$	$4$	[0,2]	$7^{2}\cdot 29^{2}$	$2$	$14.2478068488$	$19.705964328162043$	✓	$A_4$ (as 4T4)	$[2]$	$2$	$1$	$6.43827437234$
4.0.43681.1	$x^{4} - x^{3} - 9 x^{2} + 6 x + 25$	$4$	[0,2]	$11^{2}\cdot 19^{2}$	$2$	$14.4568322948$	$23.615586898971756$	✓	$A_4$ (as 4T4)	$[4]$	$2$	$1$	$3.0088394055$
4.0.47961.1	$x^{4} - x^{3} - 2 x^{2} + 24$	$4$	[0,2]	$3^{2}\cdot 73^{2}$	$2$	$14.7986485869$	$30.253516886595015$		$A_4$ (as 4T4)	$[4]$	$2$	$1$	$4.0636795625$
4.0.61504.1	$x^{4} - 6 x^{2} - 8 x + 28$	$4$	[0,2]	$2^{6}\cdot 31^{2}$	$2$	$15.748015748$	$27.911689339648817$		$A_4$ (as 4T4)	$[2]$	$2$	$1$	$4.45423636647$
4.4.61504.1	$x^{4} - 2 x^{3} - 7 x^{2} + 6 x + 11$	$4$	[4,0]	$2^{6}\cdot 31^{2}$	$2$	$15.748015748$	$27.911689339648817$	✓	$A_4$ (as 4T4)	trivial	$2$	$3$	$19.2289949229$
4.0.63504.1	$x^{4} - 2 x^{3} + 6 x^{2} - 4 x + 20$	$4$	[0,2]	$2^{4}\cdot 3^{4}\cdot 7^{2}$	$3$	$15.8745078664$	$31.66579252742446$		$A_4$ (as 4T4)	$[2]$	$2$	$1$	$7.23230290986$
4.0.74529.1	$x^{4} - x^{3} + 7 x^{2} + 9 x + 24$	$4$	[0,2]	$3^{2}\cdot 7^{2}\cdot 13^{2}$	$3$	$16.5227116419$	$35.04194650073235$		$A_4$ (as 4T4)	$[4]$	$2$	$1$	$6.10125795499$
4.4.76729.1	$x^{4} - x^{3} - 11 x^{2} + 4 x + 12$	$4$	[4,0]	$277^{2}$	$1$	$16.6433169771$	$42.49323998594522$		$A_4$ (as 4T4)	$[2]$	$2$	$3$	$12.7131864943$
4.0.82369.1	$x^{4} - x^{3} + 4 x^{2} - 7 x + 8$	$4$	[0,2]	$7^{2}\cdot 41^{2}$	$2$	$16.9410743461$	$23.430989084024507$	✓	$A_4$ (as 4T4)	$[2]$	$2$	$1$	$9.489766948$
4.0.87616.1	$x^{4} - 8 x^{2} - 8 x + 44$	$4$	[0,2]	$2^{6}\cdot 37^{2}$	$2$	$17.2046505341$	$31.406013247262095$		$A_4$ (as 4T4)	trivial	$2$	$1$	$19.61785529$
4.0.90601.1	$x^{4} - x^{3} - 7 x^{2} + 9 x + 38$	$4$	[0,2]	$7^{2}\cdot 43^{2}$	$2$	$17.3493515729$	$23.99567223510292$		$A_4$ (as 4T4)	$[4]$	$2$	$1$	$4.84179776389$
4.0.95481.1	$x^{4} + 13 x^{2} - 3 x + 46$	$4$	[0,2]	$3^{2}\cdot 103^{2}$	$2$	$17.5783958312$	$38.0585388267201$		$A_4$ (as 4T4)	$[4]$	$2$	$1$	$6.47837346034$
4.0.99225.1	$x^{4} - x^{3} + 7 x + 14$	$4$	[0,2]	$3^{4}\cdot 5^{2}\cdot 7^{2}$	$3$	$17.7482393493$	$35.40343232636298$		$A_4$ (as 4T4)	$[2]$	$2$	$1$	$11.8933108956$
4.0.110889.1	$x^{4} - x^{3} + 6 x^{2} + 11 x + 10$	$4$	[0,2]	$3^{4}\cdot 37^{2}$	$2$	$18.2482875909$	$26.318584936813835$		$A_4$ (as 4T4)	$[2]$	$2$	$1$	$14.5871081372$
4.0.112225.1	$x^{4} + 11 x^{2} - 5 x + 29$	$4$	[0,2]	$5^{2}\cdot 67^{2}$	$2$	$18.3030052177$	$36.886564134509776$		$A_4$ (as 4T4)	$[2]$	$2$	$1$	$7.05792068684$
4.0.118336.1	$x^{4} - 2 x^{3} + 9 x^{2} - 6 x + 7$	$4$	[0,2]	$2^{6}\cdot 43^{2}$	$2$	$18.547236991$	$34.715543100649214$	✓	$A_4$ (as 4T4)	$[2]$	$2$	$1$	$5.76275101161$
4.0.118336.2	$x^{4} - 6 x^{2} - 8 x + 40$	$4$	[0,2]	$2^{6}\cdot 43^{2}$	$2$	$18.547236991$	$34.715543100649214$		$A_4$ (as 4T4)	$[4]$	$2$	$1$	$8.60226112239$
4.4.121801.1	$x^{4} - x^{3} - 10 x^{2} + 3 x + 20$	$4$	[4,0]	$349^{2}$	$1$	$18.6815416923$	$49.56977542044145$	✓	$A_4$ (as 4T4)	trivial	$2$	$3$	$41.6921959227$
4.0.132496.1	$x^{4} - 2 x^{3} + 14 x^{2} - 12 x + 20$	$4$	[0,2]	$2^{4}\cdot 7^{2}\cdot 13^{2}$	$3$	$19.0787840283$	$40.46295449025258$		$A_4$ (as 4T4)	$[2]$	$2$	$1$	$7.48102306505$
4.4.157609.1	$x^{4} - 13 x^{2} - 2 x + 19$	$4$	[4,0]	$397^{2}$	$1$	$19.9248588452$	$54.016570132056195$		$A_4$ (as 4T4)	trivial	$2$	$3$	$38.8326454303$
4.0.159201.1	$x^{4} - 2 x^{3} + 7 x^{2} + 21 x + 63$	$4$	[0,2]	$3^{2}\cdot 7^{2}\cdot 19^{2}$	$3$	$19.9749843554$	$45.129624639238735$		$A_4$ (as 4T4)	$[4]$	$2$	$1$	$9.36730810327$
4.0.162409.1	$x^{4} - x^{3} - 6 x^{2} + 7 x + 18$	$4$	[0,2]	$13^{2}\cdot 31^{2}$	$2$	$20.0748598999$	$30.78291537771342$	✓	$A_4$ (as 4T4)	$[4]$	$2$	$1$	$5.71818568496$
4.4.165649.1	$x^{4} - 2 x^{3} - 9 x^{2} - x + 3$	$4$	[4,0]	$11^{2}\cdot 37^{2}$	$2$	$20.1742410018$	$36.82681487204538$	✓	$A_4$ (as 4T4)	trivial	$2$	$3$	$49.5879834514$
4.0.190096.1	$x^{4} - 2 x^{3} + 5 x^{2} + 4 x + 5$	$4$	[0,2]	$2^{4}\cdot 109^{2}$	$2$	$20.8806130178$	$45.636709948584894$	✓	$A_4$ (as 4T4)	$[2]$	$2$	$1$	$7.17096769187$
4.0.205209.1	$x^{4} - x^{3} + 4 x^{2} - 3 x + 12$	$4$	[0,2]	$3^{2}\cdot 151^{2}$	$2$	$21.2837966538$	$49.114748617819366$	✓	$A_4$ (as 4T4)	$[8]$	$2$	$1$	$4.8948196374$
4.0.219024.1	$x^{4} - 2 x^{3} + 3 x^{2} + 6 x + 6$	$4$	[0,2]	$2^{4}\cdot 3^{4}\cdot 13^{2}$	$3$	$21.6333076528$	$47.84323859612865$	✓	$A_4$ (as 4T4)	$[4]$	$2$	$1$	$16.9094353527$
4.4.223729.1	$x^{4} - x^{3} - 16 x^{2} - 7 x + 27$	$4$	[4,0]	$11^{2}\cdot 43^{2}$	$2$	$21.7485631709$	$40.70758261752865$		$A_4$ (as 4T4)	trivial	$2$	$3$	$46.2265209627$
4.0.227529.1	$x^{4} - x^{3} + 3 x^{2} - 8 x + 11$	$4$	[0,2]	$3^{4}\cdot 53^{2}$	$2$	$21.8403296678$	$31.499206078816627$	✓	$A_4$ (as 4T4)	$[2]$	$2$	$1$	$21.8968929894$
4.0.238144.1	$x^{4} - 2 x^{3} + 14 x^{2} - 4 x + 6$	$4$	[0,2]	$2^{6}\cdot 61^{2}$	$2$	$22.0907220344$	$43.82933521460097$		$A_4$ (as 4T4)	trivial	$2$	$1$	$70.8952291769$
4.0.246016.1	$x^{4} + 2 x^{2} - 4 x + 10$	$4$	[0,2]	$2^{8}\cdot 31^{2}$	$2$	$22.2710574513$	$39.473089612875896$	✓	$A_4$ (as 4T4)	$[2, 2]$	$2$	$1$	$6.72733869619$
4.0.246016.2	$x^{4} + 10 x^{2} - 4 x + 2$	$4$	[0,2]	$2^{8}\cdot 31^{2}$	$2$	$22.2710574513$	$39.473089612875896$	✓	$A_4$ (as 4T4)	$[2, 2]$	$2$	$1$	$7.81085798599$
4.0.247009.1	$x^{4} - x^{3} + 9 x + 10$	$4$	[0,2]	$7^{2}\cdot 71^{2}$	$2$	$22.2934968096$	$30.833857978493015$	✓	$A_4$ (as 4T4)	$[4]$	$2$	$1$	$9.72655721929$
4.0.254016.1	$x^{4} - 12 x^{2} - 8 x + 72$	$4$	[0,2]	$2^{6}\cdot 3^{4}\cdot 7^{2}$	$3$	$22.4499443206$	$44.78219325557628$		$A_4$ (as 4T4)	trivial	$2$	$1$	$38.5230267277$
4.0.254016.2	$x^{4} - 6 x^{2} - 8 x + 60$	$4$	[0,2]	$2^{6}\cdot 3^{4}\cdot 7^{2}$	$3$	$22.4499443206$	$44.78219325557628$		$A_4$ (as 4T4)	$[2]$	$2$	$1$	$15.0605288679$
4.0.254016.3	$x^{4} + 18 x^{2} - 8 x + 120$	$4$	[0,2]	$2^{6}\cdot 3^{4}\cdot 7^{2}$	$3$	$22.4499443206$	$44.78219325557628$		$A_4$ (as 4T4)	$[4]$	$2$	$1$	$20.2503128909$
4.0.258064.1	$x^{4} - 2 x^{3} + 10 x^{2} - 4 x + 36$	$4$	[0,2]	$2^{4}\cdot 127^{2}$	$2$	$22.5388553392$	$50.53192113129331$		$A_4$ (as 4T4)	$[2]$	$2$	$1$	$7.87901635395$

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