Number field search results

Note: Search results may be incomplete due to uncomputed quantities: Class number (201181 objects)

Results (1-50 of 40412 matches)

 

Label	Polynomial	Degree	Signature	Discriminant	Ram. prime count	Root discriminant	Galois root discriminant	CM field	Galois	Monogenic	Galois group	Class group	Unit group torsion	Unit group rank	Regulator
10.0.4278875081349568.1	$x^{10} - 3 x^{9} + 8 x^{7} + 30 x^{6} - 78 x^{5} + 113 x^{4} - 155 x^{3} + 486 x^{2} - 234 x + 856$	$10$	[0,5]	$-\,2^{6}\cdot 7^{5}\cdot 59^{2}\cdot 1069^{2}$	$4$	$36.57067368735318$	$1879.355208575537$	✓			$S_5\times C_2$ (as 10T22)	$[112]$	$2$	$4$	$659.9760462041562$
10.0.4993045981293568.1	$x^{10} + 46 x^{8} + 787 x^{6} + 6147 x^{4} + 21091 x^{2} + 22747$	$10$	[0,5]	$-\,2^{10}\cdot 11^{8}\cdot 23^{2}\cdot 43$	$4$	$37.1395430928$	$785.49520053447$	✓		?	$C_2 \times (C_2^4 : C_5)$ (as 10T14)	$[2, 2, 36]$	$2$	$4$	$26.171106009435153$
10.0.5899326109308352.1	$x^{10} - x^{9} - 6 x^{8} + 4 x^{7} + 58 x^{6} - 30 x^{5} - 27 x^{4} + 155 x^{3} + 476 x^{2} - 378 x + 1436$	$10$	[0,5]	$-\,2^{6}\cdot 7^{5}\cdot 103^{2}\cdot 719^{2}$	$4$	$37.76419577601279$	$2036.4655656308064$	✓			$S_5\times C_2$ (as 10T22)	$[126]$	$2$	$4$	$738.0267454497427$
10.0.5965948978786048.1	$x^{10} - x^{9} - 6 x^{8} + 2 x^{7} + 57 x^{6} + 3 x^{5} - 2 x^{4} - 128 x^{3} + 560 x^{2} + 538 x + 1276$	$10$	[0,5]	$-\,2^{8}\cdot 7^{5}\cdot 23^{2}\cdot 1619^{2}$	$4$	$37.806628821425804$	$1146.140935390666$	✓			$S_5\times C_2$ (as 10T22)	$[105]$	$2$	$4$	$644.9835285299087$
10.0.6055926338345968.1	$x^{10} - 3 x^{9} - 2 x^{8} + 8 x^{7} + 42 x^{6} - 50 x^{5} + 113 x^{4} - 135 x^{3} + 604 x^{2} + 70 x + 928$	$10$	[0,5]	$-\,2^{4}\cdot 7^{5}\cdot 150067^{2}$	$3$	$37.86326476972376$	$2049.8477992280305$	✓			$S_5\times C_2$ (as 10T22)	$[105]$	$2$	$4$	$739.5808166798206$
10.0.7654240966908928.1	$x^{10} - x^{9} - 12 x^{8} + 26 x^{7} + 67 x^{6} - 243 x^{5} + 568 x^{4} - 990 x^{3} + 1656 x^{2} - 784 x + 1624$	$10$	[0,5]	$-\,2^{10}\cdot 7^{5}\cdot 21089^{2}$	$3$	$38.76057517814764$	$1369.1951080680985$	✓			$S_5\times C_2$ (as 10T22)	$[118]$	$2$	$4$	$738.6857316853477$
10.0.8311559323071088.1	$x^{10} - x^{9} - 8 x^{8} + 6 x^{7} + 71 x^{6} - 31 x^{5} - 48 x^{4} - 110 x^{3} + 712 x^{2} + 304 x + 1808$	$10$	[0,5]	$-\,2^{4}\cdot 7^{5}\cdot 19^{4}\cdot 487^{2}$	$4$	$39.08123244084748$	$831.4686841712539$	✓			$S_5\times C_2$ (as 10T22)	$[105]$	$2$	$4$	$809.6441850273136$
10.0.9445893863498752.1	$x^{10} + 60 x^{8} + 1165 x^{6} + 9624 x^{4} + 34138 x^{2} + 43033$	$10$	[0,5]	$-\,2^{10}\cdot 11^{8}\cdot 23\cdot 1871$	$4$	$39.5844218414$	$5410.788726394439$	✓		?	$C_2 \times (C_2^4 : C_5)$ (as 10T14)	$[2, 72]$	$2$	$4$	$26.171106009435153$
10.0.9445893863498752.2	$x^{10} + 53 x^{8} + 1029 x^{6} + 8978 x^{4} + 34313 x^{2} + 43033$	$10$	[0,5]	$-\,2^{10}\cdot 11^{8}\cdot 23\cdot 1871$	$4$	$39.5844218414$	$5410.788726394439$	✓		?	$C_2 \times (C_2^4 : C_5)$ (as 10T14)	$[2, 72]$	$2$	$4$	$26.171106009435153$
10.0.9630096522760791.1	$x^{10} - x^{9} + 56 x^{8} - 56 x^{7} + 1156 x^{6} - 1156 x^{5} + 10781 x^{4} - 10781 x^{3} + 45156 x^{2} - 45156 x + 79531$	$10$	[0,5]	$-\,3^{5}\cdot 7^{5}\cdot 11^{9}$	$3$	$39.6609455568$	$39.66094555677728$	✓	✓	?	$C_{10}$ (as 10T1)	$[2, 66]$	$2$	$4$	$26.1711060094$
10.0.9914423014398139.1	$x^{10} - 3 x^{9} + 41 x^{8} - 81 x^{7} + 602 x^{6} - 708 x^{5} + 4098 x^{4} - 2272 x^{3} + 15013 x^{2} - 2843 x + 30725$	$10$	[0,5]	$-\,61^{2}\cdot 97\cdot 397^{3}\cdot 439$	$4$	$39.7765163305$	$143342.81362602918$	✓		?	$C_2 \wr S_5$ (as 10T39)	$[2, 64]$	$2$	$4$	$38.390738101183906$
10.0.10420954392927232.1	$x^{10} - 3 x^{9} - 2 x^{8} + 10 x^{7} + 41 x^{6} - 71 x^{5} + 90 x^{4} - 140 x^{3} + 602 x^{2} - 16 x + 1072$	$10$	[0,5]	$-\,2^{10}\cdot 7^{5}\cdot 11^{2}\cdot 2237^{2}$	$4$	$39.97520959848021$	$1478.99491223052$	✓			$S_5\times C_2$ (as 10T22)	$[104]$	$2$	$4$	$781.448847418073$
10.0.11114618307184567.1	$x^{10} - x^{9} - 4 x^{8} + 44 x^{6} + 6 x^{5} + 48 x^{4} + 3 x^{3} + 417 x^{2} + 194 x + 848$	$10$	[0,5]	$-\,7^{5}\cdot 813209^{2}$	$2$	$40.23365201095656$	$2385.8883041751974$	✓			$S_5\times C_2$ (as 10T22)	$[116]$	$2$	$4$	$811.3050518382204$
10.0.11258530353021875.4	$x^{10} - 3 x^{9} + 39 x^{8} - 88 x^{7} + 730 x^{6} - 1192 x^{5} + 7716 x^{4} - 8217 x^{3} + 46199 x^{2} - 23945 x + 126611$	$10$	[0,5]	$-\,5^{5}\cdot 7^{5}\cdot 11^{8}$	$3$	$40.2854454641$	$40.28544546409263$	✓	✓	?	$C_{10}$ (as 10T1)	$[110]$	$2$	$4$	$26.1711060094$
10.0.11873367303361648.1	$x^{10} - 3 x^{9} + 4 x^{7} + 36 x^{6} - 48 x^{5} + 101 x^{4} - 61 x^{3} + 420 x^{2} - 90 x + 736$	$10$	[0,5]	$-\,2^{4}\cdot 7^{5}\cdot 210127^{2}$	$3$	$40.5002207418444$	$2425.6042546136828$	✓			$S_5\times C_2$ (as 10T22)	$[130]$	$2$	$4$	$904.860574966527$
10.0.12915079865318512.1	$x^{10} - 3 x^{9} - 6 x^{8} + 16 x^{7} + 80 x^{6} - 84 x^{5} - 199 x^{4} - 249 x^{3} + 1154 x^{2} + 1506 x + 2468$	$10$	[0,5]	$-\,2^{4}\cdot 7^{5}\cdot 37^{2}\cdot 5923^{2}$	$4$	$40.842254725895444$	$2477.141094084065$	✓			$S_5\times C_2$ (as 10T22)	$[112]$	$2$	$4$	$925.1353834415671$
10.0.13759056816473143.1	$x^{10} - 3 x^{9} - 2 x^{8} + 16 x^{7} + 32 x^{6} - 134 x^{5} + 138 x^{4} + x^{3} + 449 x^{2} - 922 x + 1576$	$10$	[0,5]	$-\,7^{5}\cdot 904793^{2}$	$2$	$41.10161306169442$	$2516.654724033474$	✓			$S_5\times C_2$ (as 10T22)	$[106]$	$2$	$4$	$870.5650124401076$
10.0.16742120486211568.1	$x^{10} - x^{9} - 6 x^{8} + 2 x^{7} + 51 x^{6} - 3 x^{5} + 100 x^{4} + 82 x^{3} + 542 x^{2} - 80 x + 1024$	$10$	[0,5]	$-\,2^{4}\cdot 7^{5}\cdot 249517^{2}$	$3$	$41.916117229321934$	$2097.9046900402$	✓			$S_5\times C_2$ (as 10T22)	$[209]$	$2$	$4$	$1420.7625983434907$
10.0.16765378054778647.1	$x^{10} - 3 x^{9} - 2 x^{8} + 12 x^{7} + 38 x^{6} - 100 x^{5} + 116 x^{4} + 99 x^{3} + 373 x^{2} - 774 x + 1376$	$10$	[0,5]	$-\,7^{5}\cdot 43^{2}\cdot 23227^{2}$	$3$	$41.921936433012114$	$2644.1117601190763$	✓			$S_5\times C_2$ (as 10T22)	$[118]$	$2$	$4$	$890.8360544649705$
10.0.17015782282901248.1	$x^{10} - 3 x^{9} - 6 x^{8} + 26 x^{7} + 35 x^{6} - 165 x^{5} + 410 x^{4} - 378 x^{3} + 1040 x^{2} - 1248 x + 1688$	$10$	[0,5]	$-\,2^{8}\cdot 7^{5}\cdot 11^{2}\cdot 5717^{2}$	$4$	$41.98413327701129$	$1671.871083171031$	✓			$S_5\times C_2$ (as 10T22)	$[112]$	$2$	$4$	$929.3630448259569$
10.0.17047759212276583.1	$x^{10} - x^{9} - 4 x^{8} + 40 x^{6} + 6 x^{5} + 110 x^{4} + 43 x^{3} + 441 x^{2} + 60 x + 704$	$10$	[0,5]	$-\,7^{5}\cdot 1007137^{2}$	$2$	$41.99201648607655$	$2655.1758887124597$	✓			$S_5\times C_2$ (as 10T22)	$[128]$	$2$	$4$	$969.6441434661538$
10.0.17672603915573488.1	$x^{10} - 5 x^{9} + 4 x^{8} + 14 x^{7} + 27 x^{6} - 147 x^{5} + 158 x^{4} - 150 x^{3} + 714 x^{2} - 360 x + 1600$	$10$	[0,5]	$-\,2^{4}\cdot 7^{5}\cdot 269^{2}\cdot 953^{2}$	$4$	$42.14344698340048$	$2126.465172117945$	✓			$S_5\times C_2$ (as 10T22)	$[196]$	$2$	$4$	$1435.93762129502$
10.0.17699499755650048.1	$x^{10} - 3 x^{9} - 2 x^{8} + 2 x^{7} + 49 x^{6} + x^{5} + 142 x^{4} + 76 x^{3} + 498 x^{2} + 100 x + 764$	$10$	[0,5]	$-\,2^{10}\cdot 7^{5}\cdot 32069^{2}$	$3$	$42.149856383476056$	$1688.4183139233648$	✓			$S_5\times C_2$ (as 10T22)	$[103]$	$2$	$4$	$974.8473522105154$
10.0.18507417962719168.1	$x^{10} - 3 x^{9} - 4 x^{8} + 12 x^{7} + 62 x^{6} - 74 x^{5} - 61 x^{4} - 43 x^{3} + 718 x^{2} + 424 x + 1744$	$10$	[0,5]	$-\,2^{6}\cdot 7^{5}\cdot 131171^{2}$	$3$	$42.33841380614676$	$2710.272311041826$	✓			$S_5\times C_2$ (as 10T22)	$[130]$	$2$	$4$	$1123.3990645547035$
10.0.18775450875101184.1	$x^{10} + 66 x^{8} + 1584 x^{6} + 16632 x^{4} + 71280 x^{2} + 85536$	$10$	[0,5]	$-\,2^{15}\cdot 3^{5}\cdot 11^{9}$	$3$	$42.3993342597$	$42.399334259701384$	✓	✓	?	$C_{10}$ (as 10T1)	$[2, 124]$	$2$	$4$	$26.1711060094$
10.0.19340358336761319.3	$x^{10} - 3 x^{9} + 44 x^{8} - 100 x^{7} + 910 x^{6} - 1500 x^{5} + 10534 x^{4} - 11333 x^{3} + 68332 x^{2} - 35865 x + 200509$	$10$	[0,5]	$-\,3^{5}\cdot 11^{8}\cdot 13^{5}$	$3$	$42.5252085015$	$42.52520850150444$	✓	✓	?	$C_{10}$ (as 10T1)	$[220]$	$2$	$4$	$26.1711060094$
10.0.20185300736269312.1	$x^{10} - x^{9} - 8 x^{8} - 2 x^{7} + 75 x^{6} + 65 x^{5} - 50 x^{4} - 226 x^{3} + 730 x^{2} + 1480 x + 1892$	$10$	[0,5]	$-\,2^{10}\cdot 7^{5}\cdot 23^{2}\cdot 1489^{2}$	$4$	$42.70743832918276$	$1744.8118908060765$	✓			$S_5\times C_2$ (as 10T22)	$[154]$	$2$	$4$	$1003.9100912703964$
10.0.21039691459248343.1	$x^{10} - x^{9} - 4 x^{8} + 4 x^{7} + 42 x^{6} - 32 x^{5} + 52 x^{4} + x^{3} + 407 x^{2} - 182 x + 896$	$10$	[0,5]	$-\,7^{5}\cdot 1118857^{2}$	$2$	$42.88485407873701$	$2798.5708852912767$	✓			$S_5\times C_2$ (as 10T22)	$[2, 74]$	$2$	$4$	$1017.922640600387$
10.0.21950349414400000.4	$x^{10} - 2 x^{9} + 43 x^{8} - 66 x^{7} + 896 x^{6} - 1052 x^{5} + 10707 x^{4} - 8734 x^{3} + 72463 x^{2} - 31666 x + 221651$	$10$	[0,5]	$-\,2^{15}\cdot 5^{5}\cdot 11^{8}$	$3$	$43.0669527429$	$43.06695274291456$	✓	✓	?	$C_{10}$ (as 10T1)	$[310]$	$2$	$4$	$26.1711060094$
10.0.22236999904511728.1	$x^{10} - x^{9} - 6 x^{8} + 8 x^{7} + 56 x^{6} - 68 x^{5} - 19 x^{4} + 61 x^{3} + 498 x^{2} - 518 x + 1516$	$10$	[0,5]	$-\,2^{4}\cdot 7^{5}\cdot 137^{2}\cdot 2099^{2}$	$4$	$43.12286625063915$	$2837.563038947329$	✓			$S_5\times C_2$ (as 10T22)	$[108]$	$2$	$4$	$1191.0570964209253$
10.0.24871763102042647.1	$x^{10} - x^{9} - 8 x^{8} + 78 x^{6} + 44 x^{5} - 124 x^{4} - 323 x^{3} + 747 x^{2} + 1606 x + 2104$	$10$	[0,5]	$-\,7^{5}\cdot 1216489^{2}$	$2$	$43.60845067058842$	$2918.1197713596334$	✓			$S_5\times C_2$ (as 10T22)	$[120]$	$2$	$4$	$1103.1135300938238$
10.0.25047371966852032.1	$x^{10} - 5 x^{9} + 4 x^{8} + 12 x^{7} + 32 x^{6} - 128 x^{5} + 135 x^{4} - 199 x^{3} + 796 x^{2} - 88 x + 1376$	$10$	[0,5]	$-\,2^{6}\cdot 7^{5}\cdot 152597^{2}$	$3$	$43.639143336819984$	$2923.25708756517$	✓			$S_5\times C_2$ (as 10T22)	$[157]$	$2$	$4$	$1152.5950600235767$
10.0.25113769772868343.1	$x^{10} - 3 x^{9} - 4 x^{8} + 12 x^{7} + 56 x^{6} - 62 x^{5} + 32 x^{4} - 181 x^{3} + 799 x^{2} + 478 x + 1408$	$10$	[0,5]	$-\,7^{5}\cdot 1222393^{2}$	$2$	$43.650697813233585$	$2925.1924722998997$	✓			$S_5\times C_2$ (as 10T22)	$[105]$	$2$	$4$	$1130.4413582507993$
10.0.25123244285634975.1	$x^{10} - 2 x^{9} + 8 x^{8} - 14 x^{7} + 31 x^{6} - 49 x^{5} + 93 x^{4} - 126 x^{3} + 216 x^{2} - 162 x + 243$	$10$	[0,5]	$-\,3^{2}\cdot 5^{2}\cdot 59\cdot 211^{2}\cdot 349^{3}$	$5$	$43.6523443159$	$8072.825713466134$	✓			$C_2 \wr S_5$ (as 10T39)	$[114]$	$2$	$4$	$646.688151332$
10.0.25965006330980983.1	$x^{10} - x^{9} - 8 x^{8} + 8 x^{7} + 70 x^{6} - 48 x^{5} - 46 x^{4} - 263 x^{3} + 767 x^{2} + 528 x + 1808$	$10$	[0,5]	$-\,7^{5}\cdot 1242937^{2}$	$2$	$43.79644333129467$	$2949.6709986030646$	✓			$S_5\times C_2$ (as 10T22)	$[118]$	$2$	$4$	$1137.6030416952071$
10.0.26026835840008192.1	$x^{10} - x^{9} - 10 x^{8} + 22 x^{7} + 69 x^{6} - 221 x^{5} + 208 x^{4} - 32 x^{3} + 902 x^{2} - 2018 x + 2552$	$10$	[0,5]	$-\,2^{16}\cdot 7^{5}\cdot 4861^{2}$	$3$	$43.8068612576723$	$828.2157551244516$	✓			$S_5\times C_2$ (as 10T22)	$[132]$	$2$	$4$	$999.3743297020859$
10.0.26519727463005952.1	$x^{10} - 5 x^{9} + 4 x^{8} + 10 x^{7} + 35 x^{6} - 107 x^{5} + 150 x^{4} - 214 x^{3} + 788 x^{2} - 46 x + 1184$	$10$	[0,5]	$-\,2^{8}\cdot 7^{5}\cdot 78509^{2}$	$3$	$43.889123290711595$	$1664.2187259412462$	✓			$S_5\times C_2$ (as 10T22)	$[124]$	$2$	$4$	$1116.3813718921665$
10.0.27591732583151527.1	$x^{10} - x^{9} - 4 x^{8} + 4 x^{7} + 38 x^{6} - 28 x^{5} + 112 x^{4} - 63 x^{3} + 457 x^{2} - 100 x + 736$	$10$	[0,5]	$-\,7^{5}\cdot 1281281^{2}$	$2$	$44.06338907102123$	$2994.8233670785994$	✓			$S_5\times C_2$ (as 10T22)	$[2, 62]$	$2$	$4$	$1072.5518281988657$
10.0.28312660190713043.1	$x^{10} - x^{9} + 9 x^{8} - 7 x^{7} + 41 x^{6} - 25 x^{5} + 123 x^{4} - 63 x^{3} + 243 x^{2} - 81 x + 243$	$10$	[0,5]	$-\,29^{2}\cdot 53^{2}\cdot 97\cdot 433^{2}\cdot 659$	$5$	$44.1771879272$	$206257.36079713615$	✓			$C_2 \wr S_5$ (as 10T39)	$[116]$	$2$	$4$	$421.833868937$
10.0.28631509956043776.1	$x^{10} - 2 x^{9} + 19 x^{8} - 76 x^{7} + 23 x^{6} - 226 x^{5} + 1573 x^{4} + 1072 x^{3} - 7724 x^{2} - 2616 x + 15924$	$10$	[0,5]	$-\,2^{10}\cdot 3^{5}\cdot 163^{5}$	$3$	$44.226688775$	$44.22668877499196$		✓		$D_5$ (as 10T2)	$[22, 22]$	$2$	$4$	$2472.16366305$
10.0.28768254600620983.1	$x^{10} - 3 x^{9} - 4 x^{8} + 8 x^{7} + 60 x^{6} - 28 x^{5} + 67 x^{4} + 75 x^{3} + 608 x^{2} + 128 x + 1304$	$10$	[0,5]	$-\,7^{5}\cdot 1308313^{2}$	$2$	$44.247766266618356$	$3026.250320115638$	✓			$S_5\times C_2$ (as 10T22)	$[110]$	$2$	$4$	$838.2223389664016$
10.0.28851751301753799.1	$x^{10} - 4 x^{9} + 26 x^{8} - 46 x^{7} + 191 x^{6} - 86 x^{5} + 591 x^{4} + 682 x^{3} + 1021 x^{2} + 2244 x + 3115$	$10$	[0,5]	$-\,3^{5}\cdot 653^{5}$	$2$	$44.2605919527$	$44.26059195266146$			?	$A_5\times C_2$ (as 10T11)	$[3, 42]$	$2$	$4$	$352.077148226$
10.0.29503404542277232.1	$x^{10} - x^{9} - 12 x^{8} - 4 x^{7} + 116 x^{6} + 136 x^{5} - 187 x^{4} - 431 x^{3} + 1176 x^{2} + 2986 x + 3616$	$10$	[0,5]	$-\,2^{4}\cdot 7^{5}\cdot 331231^{2}$	$3$	$44.35955833180803$	$3045.401123004981$	✓			$S_5\times C_2$ (as 10T22)	$[180]$	$2$	$4$	$1194.7234517987245$
10.0.30266636707299328.1	$x^{10} - x^{9} - 10 x^{8} - 2 x^{7} + 87 x^{6} + 85 x^{5} + 10 x^{4} - 194 x^{3} + 914 x^{2} + 1630 x + 2144$	$10$	[0,5]	$-\,2^{18}\cdot 7^{5}\cdot 2621^{2}$	$3$	$44.472998965701905$	$911.2027432594206$	✓			$S_5\times C_2$ (as 10T22)	$[114]$	$2$	$4$	$1201.5110372586678$
10.0.31512565339032283.3	$x^{10} - 3 x^{9} + 49 x^{8} - 112 x^{7} + 1110 x^{6} - 1844 x^{5} + 13964 x^{4} - 15153 x^{3} + 97561 x^{2} - 51749 x + 305293$	$10$	[0,5]	$-\,11^{8}\cdot 43^{5}$	$2$	$44.652766991$	$44.65276699099921$	✓	✓	?	$C_{10}$ (as 10T1)	$[2, 2, 10, 10]$	$2$	$4$	$26.1711060094$
10.0.31589766543736832.1	$x^{10} - 4 x^{9} - 2 x^{8} + 22 x^{7} + 60 x^{6} - 194 x^{5} + 29 x^{4} - 112 x^{3} + 1298 x^{2} - 72 x + 3681$	$10$	[0,5]	$-\,2^{15}\cdot 113^{2}\cdot 8689^{2}$	$3$	$44.663694228719656$	$2802.6516016087335$	✓			$S_5\times C_2$ (as 10T22)	$[112]$	$2$	$4$	$734.5954170385919$
10.0.34831173615648768.1	$x^{10} - 4 x^{9} - 4 x^{8} + 36 x^{7} + 53 x^{6} - 358 x^{5} + 214 x^{4} + 942 x^{3} + 192 x^{2} - 4648 x + 7689$	$10$	[0,5]	$-\,2^{15}\cdot 3^{2}\cdot 343667^{2}$	$3$	$45.10210490749476$	$2871.934539643966$	✓			$S_5\times C_2$ (as 10T22)	$[122]$	$2$	$4$	$548.0000842805346$
10.0.34887404632745728.1	$x^{10} - 3 x^{9} - 2 x^{8} + 6 x^{7} + 51 x^{6} - 41 x^{5} + 16 x^{4} - 54 x^{3} + 550 x^{2} + 332 x + 1108$	$10$	[0,5]	$-\,2^{8}\cdot 7^{5}\cdot 53^{2}\cdot 1699^{2}$	$4$	$45.109380851460415$	$2000.5848321788937$	✓			$S_5\times C_2$ (as 10T22)	$[102]$	$2$	$4$	$1432.5150565640013$
10.0.35483529234639367.1	$x^{10} - x^{9} - 8 x^{8} + 8 x^{7} + 70 x^{6} - 72 x^{5} - 34 x^{4} + 361 x^{3} + 563 x^{2} - 1248 x + 2048$	$10$	[0,5]	$-\,7^{5}\cdot 1453009^{2}$	$2$	$45.1858733665605$	$3189.210403846068$	✓			$S_5\times C_2$ (as 10T22)	$[122]$	$2$	$4$	$1189.0286428513216$
10.0.35936259123382807.1	$x^{10} - x^{9} - 8 x^{8} + 12 x^{7} + 72 x^{6} - 118 x^{5} - 88 x^{4} + 343 x^{3} + 561 x^{2} - 1526 x + 2464$	$10$	[0,5]	$-\,7^{5}\cdot 1462249^{2}$	$2$	$45.2431970955184$	$3199.334774605496$	✓			$S_5\times C_2$ (as 10T22)	$[150]$	$2$	$4$	$1190.7641345956197$