Number field search results

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

Results (1-50 of 2936 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
20.4.109...625.1	$x^{20} - 3 x^{19} - x^{18} + 4 x^{17} + 13 x^{16} - 26 x^{15} + 3 x^{14} + 16 x^{13} + 4 x^{12} - 21 x^{11} + 21 x^{10} - 21 x^{9} + 4 x^{8} + 16 x^{7} + 3 x^{6} - 26 x^{5} + 13 x^{4} + 4 x^{3} - x^{2} - 3 x + 1$	$20$	[4,8]	$5^{10}\cdot 5783^{4}$	$2$	$12.6449070308$	$170.0441119239358$			?	$C_2\wr S_5$ (as 20T279)	trivial	$2$	$11$	$761.500833891$
20.4.120...416.1	$x^{20} - x^{18} + 3 x^{16} - 11 x^{14} + 6 x^{12} + 6 x^{10} + 5 x^{8} - 13 x^{6} + 7 x^{4} - 5 x^{2} + 1$	$20$	[4,8]	$2^{12}\cdot 41381^{4}$	$2$	$12.7051031017$	$575.3677085134341$			?	$C_4^4:S_5$ (as 20T568)	trivial	$2$	$11$	$804.996831677$
20.4.126...096.1	$x^{20} - x^{18} - 4 x^{16} + 4 x^{14} + 9 x^{12} - 11 x^{10} - 9 x^{8} + 12 x^{6} + x^{4} - 4 x^{2} + 1$	$20$	[4,8]	$2^{10}\cdot 47^{2}\cdot 8647^{4}$	$3$	$12.7379011827$	$2338.36822156596$			?	$C_2^9.C_2^5.S_5$ (as 20T994)	trivial	$2$	$11$	$831.066452115$
20.4.128...401.1	$x^{20} - 2 x^{19} + 2 x^{18} + 2 x^{17} - 9 x^{16} + 24 x^{15} - 39 x^{14} + 48 x^{13} - 58 x^{12} + 60 x^{11} - 59 x^{10} + 60 x^{9} - 58 x^{8} + 48 x^{7} - 39 x^{6} + 24 x^{5} - 9 x^{4} + 2 x^{3} + 2 x^{2} - 2 x + 1$	$20$	[4,8]	$11^{16}\cdot 23^{4}$	$2$	$12.7485184063$	$32.65713384043754$			?	$C_2\wr C_5$ (as 20T41)	trivial	$2$	$11$	$845.372840783$
20.4.153...216.1	$x^{20} + 3 x^{18} + x^{16} - 3 x^{14} - 2 x^{12} + x^{10} + 6 x^{8} - 9 x^{6} - 7 x^{4} + 1$	$20$	[4,8]	$2^{24}\cdot 5501^{4}$	$2$	$12.862468488$	$457.5352520496743$			?	$C_4^4:S_5$ (as 20T568)	trivial	$2$	$11$	$979.86444638$
20.4.187...873.1	$x^{20} - 2 x^{19} + 3 x^{17} - 9 x^{16} + 20 x^{15} - 26 x^{14} + 19 x^{13} - 5 x^{12} - 8 x^{11} + 42 x^{10} - 89 x^{9} + 94 x^{8} - 76 x^{7} + 75 x^{6} - 64 x^{5} + 33 x^{4} - 14 x^{3} + 6 x^{2} - 1$	$20$	[4,8]	$3^{8}\cdot 17^{15}$	$2$	$12.992274655$	$14.500978825806921$			?	$C_2\times F_5$ (as 20T9)	trivial	$2$	$11$	$1051.52404478$
20.4.229...000.1	$x^{20} - 4 x^{19} + x^{18} + 20 x^{17} - 31 x^{16} - 18 x^{15} + 69 x^{14} - 3 x^{13} - 95 x^{12} + 43 x^{11} + 88 x^{10} - 135 x^{9} + 112 x^{8} - 40 x^{7} - 44 x^{6} + 37 x^{5} + 16 x^{4} - 9 x^{3} - 4 x^{2} - 2 x - 1$	$20$	[4,8]	$2^{15}\cdot 5^{4}\cdot 5783^{4}$	$3$	$13.1219124584$	$921.1327271877915$			?	$C_2^9.C_2^5.S_5$ (as 20T992)	trivial	$2$	$11$	$1162.14594782$
20.4.233...125.1	$x^{20} - 3 x^{19} + 5 x^{18} - 10 x^{17} + 4 x^{16} + x^{15} - 12 x^{14} + 30 x^{13} - 35 x^{12} + 39 x^{11} - 25 x^{10} + 18 x^{9} + 4 x^{8} - 15 x^{7} + 3 x^{6} - 18 x^{5} + 3 x^{3} + 3 x^{2} + 5 x + 1$	$20$	[4,8]	$5^{10}\cdot 601^{4}\cdot 18301$	$3$	$13.1335955376$	$7415.828005017376$			?	$C_2^8.D_{10}\wr C_2$ (as 20T876)	trivial	$2$	$11$	$1172.42880865$
20.4.233...129.1	$x^{20} - x^{19} - 5 x^{18} + 6 x^{17} + 5 x^{16} - 7 x^{15} + 7 x^{14} - 14 x^{13} - 5 x^{12} + 14 x^{11} + 8 x^{10} + 14 x^{9} - 29 x^{8} - 18 x^{7} + 23 x^{6} + 5 x^{5} - x^{4} + x^{3} - 5 x^{2} - x + 1$	$20$	[4,8]	$7^{8}\cdot 43^{2}\cdot 1217^{4}$	$3$	$13.1354264564$	$984.4712707922196$			?	$C_3^5.D_6$ (as 20T669)	trivial	$2$	$11$	$1163.45280108$
20.4.248...056.1	$x^{20} + 5 x^{18} + 8 x^{16} + 2 x^{14} - x^{12} - 11 x^{10} - 37 x^{8} - 34 x^{6} - 5 x^{4} + 4 x^{2} + 1$	$20$	[4,8]	$2^{10}\cdot 11^{16}\cdot 23^{2}$	$3$	$13.1765565296$	$119.78689508462926$			?	$C_2^5.C_2^8:C_{10}$ (as 20T751)	trivial	$2$	$11$	$1235.36092177$
20.4.255...064.1	$x^{20} - 2 x^{19} + 2 x^{18} - 2 x^{17} - 11 x^{16} + 24 x^{15} - 42 x^{14} + 130 x^{13} - 131 x^{12} - 38 x^{11} + 36 x^{10} + 68 x^{9} + 23 x^{8} - 88 x^{7} + 32 x^{6} + 8 x^{5} - 10 x^{4} - 6 x^{3} + 4 x^{2} + 2 x - 1$	$20$	[4,8]	$2^{30}\cdot 47^{8}$	$2$	$13.1942326218$	$25.146651949529847$			?	$C_2^4:D_5$ (as 20T39)	trivial	$2$	$11$	$1250.97415971$
20.4.293...400.1	$x^{20} - 2 x^{19} - 2 x^{18} + 8 x^{17} + 7 x^{16} - 32 x^{15} - x^{14} + 60 x^{13} + 3 x^{12} - 108 x^{11} + 14 x^{10} + 112 x^{9} - 4 x^{8} - 96 x^{7} - 21 x^{6} + 52 x^{5} + 26 x^{4} - 18 x^{3} - 22 x^{2} - 8 x - 1$	$20$	[4,8]	$2^{20}\cdot 5^{2}\cdot 5783^{4}$	$3$	$13.2848799602$	$623.724552629587$			?	$C_2^9.C_2^4:S_5$ (as 20T964)	trivial	$2$	$11$	$1357.71487099$
20.4.319...025.1	$x^{20} - 2 x^{19} + 7 x^{18} - 15 x^{17} + 30 x^{16} - 54 x^{15} + 95 x^{14} - 152 x^{13} + 221 x^{12} - 306 x^{11} + 361 x^{10} - 364 x^{9} + 297 x^{8} - 188 x^{7} + 58 x^{6} + 25 x^{5} - 36 x^{4} + 23 x^{3} - x^{2} - 2 x + 1$	$20$	[4,8]	$5^{2}\cdot 61^{6}\cdot 397^{4}$	$3$	$13.3430173976$	$972.473178039969$			?	$C_2^{10}.S_5$ (as 20T799)	trivial	$2$	$11$	$1423.90275799$
20.4.330...073.1	$x^{20} - x^{19} - 5 x^{18} + 12 x^{16} + 8 x^{15} - 2 x^{14} - 21 x^{13} - 17 x^{12} + 13 x^{11} + x^{10} + 20 x^{9} - 23 x^{8} + 34 x^{7} - 17 x^{6} - 10 x^{5} + 20 x^{4} - 20 x^{3} + 11 x^{2} - 4 x + 1$	$20$	[4,8]	$97^{3}\cdot 13799^{4}$	$2$	$13.3655022412$	$3630.802351309899$			?	$C_4^5.S_5$ (as 20T791)	trivial	$2$	$11$	$1404.54713178$
20.4.426...592.1	$x^{20} - 4 x^{19} + 2 x^{18} + 21 x^{17} - 48 x^{16} + 5 x^{15} + 125 x^{14} - 178 x^{13} + 7 x^{12} + 238 x^{11} - 285 x^{10} + 121 x^{9} + 78 x^{8} - 175 x^{7} + 153 x^{6} - 100 x^{5} + 62 x^{4} - 29 x^{3} + 10 x^{2} - 4 x + 1$	$20$	[4,8]	$2^{10}\cdot 47^{9}\cdot 193^{2}$	$3$	$13.5367611111$	$955.2073698086406$			?	$C_2^{10}.C_2\wr D_5$ (as 20T905)	trivial	$2$	$11$	$1657.73378746$
20.4.464...237.1	$x^{20} - 3 x^{19} + 3 x^{18} + 8 x^{17} - 29 x^{16} + 42 x^{15} - 30 x^{14} - 3 x^{13} + 4 x^{12} + 33 x^{11} - 18 x^{10} - 83 x^{9} + 164 x^{8} - 175 x^{7} + 134 x^{6} - 65 x^{5} + 22 x^{4} - 2 x^{3} - 5 x^{2} + 2 x - 1$	$20$	[4,8]	$11^{10}\cdot 13^{11}$	$2$	$13.5945609555$	$41.35252454522577$			?	$C_2^5.D_{10}$ (as 20T144)	trivial	$2$	$11$	$1809.67187366$
20.4.476...904.1	$x^{20} - 6 x^{19} + 17 x^{18} - 30 x^{17} + 26 x^{16} + 12 x^{15} - 58 x^{14} + 62 x^{13} - 20 x^{12} - 26 x^{11} + 43 x^{10} - 26 x^{9} - 20 x^{8} + 62 x^{7} - 58 x^{6} + 12 x^{5} + 26 x^{4} - 30 x^{3} + 17 x^{2} - 6 x + 1$	$20$	[4,8]	$2^{20}\cdot 7^{2}\cdot 5519^{4}$	$3$	$13.6116846342$				?	$C_2^9.C_2^4:S_5$ (as 20T964)	trivial	$2$	$11$	$1782.52498216$
20.4.489...125.1	$x^{20} - 2 x^{15} - 10 x^{10} + 11 x^{5} - 1$	$20$	[4,8]	$5^{22}\cdot 29^{5}$	$2$	$13.6290788539$	$34.27792339979557$			?	$D_5^2:C_4$ (as 20T94)	trivial	$2$	$11$	$1817.01599865$
20.4.547...152.1	$x^{20} - 8 x^{19} + 27 x^{18} - 51 x^{17} + 57 x^{16} - 26 x^{15} - 41 x^{14} + 134 x^{13} - 245 x^{12} + 349 x^{11} - 403 x^{10} + 378 x^{9} - 291 x^{8} + 195 x^{7} - 113 x^{6} + 42 x^{5} - x^{4} - 12 x^{3} + 8 x^{2} - 1$	$20$	[4,8]	$2^{10}\cdot 17^{4}\cdot 23\cdot 2297^{4}$	$4$	$13.706399087$	$3630.065763175718$			?	$C_2^9.C_2^5.S_5$ (as 20T992)	trivial	$2$	$11$	$1939.07271181$
20.4.583...112.1	$x^{20} - 6 x^{19} + 14 x^{18} - 12 x^{17} - 16 x^{16} + 82 x^{15} - 189 x^{14} + 278 x^{13} - 236 x^{12} + 82 x^{11} - 7 x^{10} + 76 x^{9} - 107 x^{8} + 24 x^{7} + 7 x^{6} + 76 x^{5} - 118 x^{4} + 60 x^{3} - 3 x^{2} - 6 x + 1$	$20$	[4,8]	$2^{8}\cdot 67^{5}\cdot 641^{4}$	$3$	$13.7499875472$	$9065.649631454866$			?	$C_2^{10}.A_{10}$ (as 20T1106)	trivial	$2$	$11$	$1936.27015679$
20.4.595...669.1	$x^{20} - x^{19} + 3 x^{18} - 8 x^{17} + 16 x^{16} - 34 x^{15} + 39 x^{14} - 30 x^{13} - 3 x^{12} + 46 x^{11} - 57 x^{10} + 46 x^{9} - 3 x^{8} - 30 x^{7} + 39 x^{6} - 34 x^{5} + 16 x^{4} - 8 x^{3} + 3 x^{2} - x + 1$	$20$	[4,8]	$11^{16}\cdot 109^{3}$	$2$	$13.7634757755$	$71.09309101858766$			?	$C_2^5.C_2\wr C_5$ (as 20T303)	trivial	$2$	$11$	$2017.51236698$
20.4.595...669.2	$x^{20} - x^{19} - 4 x^{18} + x^{17} + 2 x^{16} - 6 x^{15} + 5 x^{14} + 20 x^{13} - 6 x^{12} - 39 x^{11} - 7 x^{10} + 55 x^{9} + 36 x^{8} - 47 x^{7} - 43 x^{6} + 21 x^{5} + 18 x^{4} - 8 x^{3} - 3 x^{2} + 3 x + 1$	$20$	[4,8]	$11^{16}\cdot 109^{3}$	$2$	$13.7634757755$	$71.09309101858766$			?	$C_2^5.C_2\wr C_5$ (as 20T303)	trivial	$2$	$11$	$2017.51236698$
20.4.614...864.1	$x^{20} - 7 x^{18} + 19 x^{16} - 37 x^{14} + 69 x^{12} - 98 x^{10} + 94 x^{8} - 71 x^{6} + 46 x^{4} - 18 x^{2} + 1$	$20$	[4,8]	$2^{26}\cdot 5501^{4}$	$2$	$13.7856523882$				?	$C_2^8.S_5$ (as 20T567)	trivial	$2$	$11$	$2166.45270201$
20.4.660...496.1	$x^{20} - 4 x^{18} + 2 x^{16} + 4 x^{14} + 10 x^{12} - 21 x^{10} - 3 x^{8} + 28 x^{4} - 20 x^{2} + 4$	$20$	[4,8]	$2^{24}\cdot 89^{8}$	$2$	$13.8354088486$				?	$C_2^8.S_5$ (as 20T567)	trivial	$2$	$11$	$2518.73407911$
20.4.809...225.1	$x^{20} - 7 x^{19} + 21 x^{18} - 30 x^{17} - 4 x^{16} + 114 x^{15} - 273 x^{14} + 403 x^{13} - 455 x^{12} + 450 x^{11} - 441 x^{10} + 450 x^{9} - 455 x^{8} + 403 x^{7} - 273 x^{6} + 114 x^{5} - 4 x^{4} - 30 x^{3} + 21 x^{2} - 7 x + 1$	$20$	[4,8]	$5^{2}\cdot 61^{4}\cdot 97^{2}\cdot 397^{4}$	$4$	$13.9764939937$	$3427.1336419812988$			?	$C_2^{10}.S_5$ (as 20T799)	trivial	$2$	$11$	$2364.88052546$
20.4.846...984.1	$x^{20} - 4 x^{19} + 8 x^{18} - 6 x^{17} - 10 x^{16} + 36 x^{15} - 57 x^{14} + 54 x^{13} - 23 x^{12} - 18 x^{11} + 26 x^{10} + 20 x^{9} - 90 x^{8} + 128 x^{7} - 98 x^{6} + 24 x^{5} + 32 x^{4} - 36 x^{3} + 19 x^{2} - 6 x + 1$	$20$	[4,8]	$2^{30}\cdot 137^{3}\cdot 313^{3}$	$3$	$14.0082772675$	$585.702996406882$			?	$S_5\wr C_2$ (as 20T540)	trivial	$2$	$11$	$2571.87835428$
20.4.109...641.1	$x^{20} - 2 x^{19} + 2 x^{18} + 2 x^{17} - 9 x^{16} + 2 x^{15} + 5 x^{14} - 7 x^{13} - 3 x^{12} + 5 x^{11} + 7 x^{10} + 5 x^{9} - 3 x^{8} - 7 x^{7} + 5 x^{6} + 2 x^{5} - 9 x^{4} + 2 x^{3} + 2 x^{2} - 2 x + 1$	$20$	[4,8]	$11^{16}\cdot 23^{2}\cdot 67^{2}$	$3$	$14.1871255476$	$267.310161002235$			?	$C_2^{10}:C_5$ (as 20T341)	trivial	$2$	$11$	$2858.35546614$
20.4.109...641.2	$x^{20} - x^{19} + 6 x^{18} - 8 x^{17} + 18 x^{16} - 13 x^{15} + 25 x^{14} + 10 x^{13} - 23 x^{12} + 65 x^{11} - 103 x^{10} + 107 x^{9} - 130 x^{8} + 94 x^{7} - 65 x^{6} + 53 x^{5} - 12 x^{4} + 5 x^{3} - 3 x^{2} - 4 x + 1$	$20$	[4,8]	$11^{16}\cdot 23^{2}\cdot 67^{2}$	$3$	$14.1871255476$	$267.310161002235$			?	$C_2^{10}:C_5$ (as 20T341)	trivial	$2$	$11$	$2780.31736012$
20.4.109...641.3	$x^{20} - 3 x^{19} - x^{18} + 4 x^{17} + 17 x^{16} - 35 x^{15} + 20 x^{14} - 9 x^{13} + 39 x^{12} - 92 x^{11} + 95 x^{10} - 64 x^{9} + 40 x^{8} - 36 x^{7} + 48 x^{6} - 46 x^{5} + 30 x^{4} - 10 x^{3} + 7 x^{2} - 5 x + 1$	$20$	[4,8]	$11^{16}\cdot 23^{2}\cdot 67^{2}$	$3$	$14.187125547572988$	$267.310161002235$			?	$C_2^{10}:C_5$ (as 20T341)	trivial	$2$	$11$	$2824.067578028614$
20.4.109...625.1	$x^{20} - 5 x^{19} + 6 x^{18} + 12 x^{17} - 31 x^{16} - x^{15} + 58 x^{14} - 41 x^{13} - 50 x^{12} + 88 x^{11} + 26 x^{10} - 83 x^{9} - 17 x^{8} + 21 x^{7} + 9 x^{5} + x^{4} - 7 x^{3} + 5 x^{2} + 6 x + 1$	$20$	[4,8]	$5^{10}\cdot 97^{2}\cdot 1039^{2}\cdot 1049^{2}$	$4$	$14.1873498797$	$22991.451346098183$			?	$C_2^8.S_5^2:C_2^2$ (as 20T1040)	trivial	$2$	$11$	$2707.6481842$
20.4.135...573.1	$x^{20} - 2 x^{19} + 2 x^{18} + 7 x^{17} - 12 x^{16} + 8 x^{15} + 16 x^{14} - 33 x^{13} + 4 x^{12} + 7 x^{11} - 49 x^{10} + 7 x^{9} + 4 x^{8} - 33 x^{7} + 16 x^{6} + 8 x^{5} - 12 x^{4} + 7 x^{3} + 2 x^{2} - 2 x + 1$	$20$	[4,8]	$53^{5}\cdot 4241^{4}$	$2$	$14.3404447923$	$1279.2076219845042$				$C_2^9.C_2^5.S_5$ (as 20T992)	trivial	$2$	$11$	$4544.515561$
20.4.135...057.1	$x^{20} - 10 x^{19} + 53 x^{18} - 192 x^{17} + 522 x^{16} - 1116 x^{15} + 1920 x^{14} - 2682 x^{13} + 3029 x^{12} - 2704 x^{11} + 1787 x^{10} - 680 x^{9} - 166 x^{8} + 538 x^{7} - 523 x^{6} + 343 x^{5} - 172 x^{4} + 69 x^{3} - 24 x^{2} + 7 x - 1$	$20$	[4,8]	$47^{8}\cdot 269^{3}\cdot 293$	$3$	$14.3431772772$	$1924.6815320982325$			✓	$C_2^{10}.C_2\wr D_5$ (as 20T905)	trivial	$2$	$11$	$3147.1828191$
20.4.157...961.1	$x^{20} - 2 x^{18} - 11 x^{15} - 39 x^{14} - 55 x^{13} - 67 x^{12} - 66 x^{11} - 51 x^{10} - 66 x^{9} - 67 x^{8} - 55 x^{7} - 39 x^{6} - 11 x^{5} - 2 x^{2} + 1$	$20$	[4,8]	$11^{16}\cdot 43^{4}$	$2$	$14.4480035355$	$44.65276699099921$			?	$C_2\wr C_5$ (as 20T41)	trivial	$2$	$11$	$3897.16327263$
20.4.157...861.1	$x^{20} - 10 x^{19} + 52 x^{18} - 183 x^{17} + 481 x^{16} - 992 x^{15} + 1649 x^{14} - 2241 x^{13} + 2504 x^{12} - 2297 x^{11} + 1713 x^{10} - 1014 x^{9} + 446 x^{8} - 109 x^{7} - 34 x^{6} + 66 x^{5} - 55 x^{4} + 34 x^{3} - 18 x^{2} + 7 x - 1$	$20$	[4,8]	$7^{4}\cdot 61^{2}\cdot 230101\cdot 276721^{2}$	$4$	$14.4494969826$	$5214278.81461732$			✓	$C_2^{10}.S_{10}$ (as 20T1110)	trivial	$2$	$11$	$3314.09744042$
20.4.164...000.1	$x^{20} - 6 x^{19} + 15 x^{18} - 18 x^{17} + x^{16} + 46 x^{15} - 138 x^{14} + 300 x^{13} - 521 x^{12} + 716 x^{11} - 763 x^{10} + 598 x^{9} - 273 x^{8} - 58 x^{7} + 250 x^{6} - 272 x^{5} + 199 x^{4} - 110 x^{3} + 43 x^{2} - 10 x + 1$	$20$	[4,8]	$2^{28}\cdot 5^{10}\cdot 89^{4}$	$3$	$14.4812148649$	$234.5827309266611$				$C_2^8.\PGOPlus(4,5)$ (as 20T1013)	trivial	$2$	$11$	$5058.99177989$
20.4.197...009.1	$x^{20} - 2 x^{18} - 5 x^{17} + x^{16} + 12 x^{15} - 4 x^{14} - 27 x^{13} + 19 x^{11} + 6 x^{10} + 18 x^{9} + 20 x^{8} - 7 x^{7} - 29 x^{6} - 27 x^{5} - 4 x^{4} + 12 x^{3} + 11 x^{2} + 5 x + 1$	$20$	[4,8]	$1609^{4}\cdot 3089^{3}$	$2$	$14.6144977608$	$16620.399296568434$			?	$C_4^5.S_5$ (as 20T791)	trivial	$2$	$11$	$4020.93921479$
20.4.202...792.1	$x^{20} - 4 x^{19} + x^{18} + 12 x^{17} - 12 x^{16} + 4 x^{15} - 7 x^{14} - 9 x^{12} + 23 x^{11} - 33 x^{10} + 45 x^{9} - 25 x^{8} + 7 x^{7} - 14 x^{6} + 28 x^{5} - 33 x^{4} + 19 x^{3} - 2 x^{2} - 3 x + 1$	$20$	[4,8]	$2^{10}\cdot 7^{8}\cdot 17^{11}$	$3$	$14.6319133502$	$81.2487995327954$			?	$C_2^8.(C_4\times D_5)$ (as 20T426)	trivial	$2$	$11$	$4261.70138774$
20.4.214...625.1	$x^{20} - x^{19} + 2 x^{18} + x^{17} - 6 x^{16} + 9 x^{15} - 8 x^{14} - 13 x^{13} + 21 x^{12} - 18 x^{11} - 16 x^{10} + 28 x^{9} - 16 x^{8} - 8 x^{7} + 21 x^{6} - 9 x^{5} - 2 x^{4} + 8 x^{3} - 4 x^{2} - 2 x + 1$	$20$	[4,8]	$5^{10}\cdot 280001^{3}$	$2$	$14.6743522384$	$1183.2180695036736$			?	$S_5\wr C_2$ (as 20T540)	trivial	$2$	$11$	$4436.25022329$
20.4.223...625.1	$x^{20} - 4 x^{18} - 4 x^{17} - x^{16} + 15 x^{15} + 33 x^{14} - 21 x^{13} - 80 x^{12} + 16 x^{11} + 108 x^{10} - 15 x^{9} - 97 x^{8} + 34 x^{7} + 55 x^{6} - 35 x^{5} - 15 x^{4} + 13 x^{3} + 2 x^{2} - 5 x + 1$	$20$	[4,8]	$5^{10}\cdot 13^{6}\cdot 41^{6}$	$3$	$14.7062913242$	$51.62363799656123$			?	$C_2\times S_5$ (as 20T62)	trivial	$2$	$11$	$4695.57166134$
20.4.223...625.2	$x^{20} - 2 x^{19} - x^{18} + 15 x^{17} - 23 x^{16} - 39 x^{15} + 68 x^{14} + 25 x^{13} - 74 x^{12} + 12 x^{11} + 59 x^{10} - 20 x^{9} - 85 x^{8} + 52 x^{7} + 47 x^{6} - 35 x^{5} - 3 x^{4} - 4 x^{3} + 9 x^{2} - 4 x + 1$	$20$	[4,8]	$5^{10}\cdot 13^{6}\cdot 41^{6}$	$3$	$14.7062913242$	$248.04496106286658$			?	$C_2\wr S_5$ (as 20T288)	trivial	$2$	$11$	$4108.62037976$
20.4.230...189.1	$x^{20} - 2 x^{19} + 5 x^{18} - 10 x^{17} + 17 x^{16} - 34 x^{15} + 32 x^{14} - 30 x^{13} + 16 x^{12} - 9 x^{11} - 27 x^{10} + 89 x^{9} - 18 x^{8} - 74 x^{7} + 53 x^{6} + 24 x^{5} - 7 x^{4} + 19 x^{3} + 4 x^{2} - 7 x - 1$	$20$	[4,8]	$29^{3}\cdot 79^{10}$	$2$	$14.7289994289$	$331.1454688754594$			?	$C_4\wr D_5$ (as 20T418)	trivial	$2$	$11$	$4134.35833823$
20.4.231...221.1	$x^{20} - 3 x^{19} + 3 x^{18} - 9 x^{17} + 16 x^{16} - 18 x^{15} + 26 x^{14} - 36 x^{13} + 36 x^{12} - 39 x^{11} + 47 x^{10} - 39 x^{9} + 36 x^{8} - 36 x^{7} + 26 x^{6} - 18 x^{5} + 16 x^{4} - 9 x^{3} + 3 x^{2} - 3 x + 1$	$20$	[4,8]	$17^{4}\cdot 421^{3}\cdot 439^{4}$	$3$	$14.730754873$	$1772.5470374576805$			?	$C_4^5.C_2^4.S_5$ (as 20T990)	trivial	$2$	$11$	$4301.92027305$
20.4.238...664.1	$x^{20} - 8 x^{18} + 28 x^{16} - 58 x^{14} + 80 x^{12} - 78 x^{10} + 53 x^{8} - 20 x^{6} - 2 x^{4} + 4 x^{2} + 1$	$20$	[4,8]	$2^{30}\cdot 17^{4}\cdot 227^{4}$	$3$	$14.7516279052$				?	$C_2^9.A_{10}$ (as 20T1100)	trivial	$2$	$11$	$4539.67073679$
20.4.252...329.1	$x^{20} - 7 x^{19} + 27 x^{18} - 83 x^{17} + 203 x^{16} - 404 x^{15} + 677 x^{14} - 958 x^{13} + 1122 x^{12} - 1101 x^{11} + 925 x^{10} - 680 x^{9} + 536 x^{8} - 546 x^{7} + 546 x^{6} - 422 x^{5} + 249 x^{4} - 118 x^{3} + 39 x^{2} - 4 x - 1$	$20$	[4,8]	$11^{2}\cdot 47^{10}\cdot 199^{2}$	$3$	$14.7935875112$	$839.8394562373577$			?	$C_2^9.D_{10}$ (as 20T412)	trivial	$2$	$11$	$4549.52729494$
20.4.289...704.1	$x^{20} - 2 x^{19} + 6 x^{17} - 9 x^{16} - x^{15} + 16 x^{14} - 9 x^{13} - 20 x^{12} + 36 x^{11} - 8 x^{10} - 38 x^{9} + 48 x^{8} - 13 x^{7} - 20 x^{6} + 13 x^{5} + 16 x^{4} - 29 x^{3} + 20 x^{2} - 7 x + 1$	$20$	[4,8]	$2^{18}\cdot 32411^{4}$	$2$	$14.8958565825$	$704.6914778053894$			?	$C_2^9.C_2^5.S_5$ (as 20T994)	trivial	$2$	$11$	$5110.9627523$
20.4.304...625.1	$x^{20} - x^{19} - 2 x^{18} + 6 x^{17} + 2 x^{16} - 7 x^{15} - 7 x^{14} + 17 x^{13} - 5 x^{12} + x^{11} + 6 x^{10} - 28 x^{9} - 54 x^{8} + 28 x^{7} + 95 x^{6} + 14 x^{5} - 48 x^{4} - 34 x^{3} + 11 x^{2} + 3 x + 1$	$20$	[4,8]	$5^{12}\cdot 1039^{2}\cdot 1049^{3}$	$3$	$14.9334406607$	$3490.78435700687$			?	$C_2^{10}.S_5\wr C_2$ (as 20T1045)	trivial	$2$	$11$	$4748.44706541$
20.4.324...293.1	$x^{20} - 3 x^{19} + 7 x^{18} - 16 x^{17} + 26 x^{16} - 31 x^{15} + 40 x^{14} - 46 x^{13} + 43 x^{12} - 36 x^{11} - 40 x^{10} + 134 x^{9} - 101 x^{8} + 33 x^{7} - 44 x^{6} + 37 x^{5} - 2 x^{4} + 2 x^{3} - 6 x^{2} + 1$	$20$	[4,8]	$277^{3}\cdot 11119^{4}$	$2$	$14.9825284626$	$1754.9823360934433$			?	$C_4^5.C_2^4.S_5$ (as 20T990)	trivial	$2$	$11$	$4685.47010677$
20.4.337...713.1	$x^{20} + 3 x^{18} - 2 x^{17} + x^{16} - 2 x^{15} - 13 x^{14} + 48 x^{13} - 2 x^{12} + 125 x^{11} - 18 x^{10} + 17 x^{9} - 141 x^{8} - 168 x^{7} - 166 x^{6} - 128 x^{5} - 52 x^{4} - 15 x^{3} + 3 x^{2} + 5 x + 1$	$20$	[4,8]	$2297^{7}$	$1$	$15.0108867464$	$331.79569467755954$			?	$C_2^2\times C_2^2.C_4^3$ (as 20T671)	trivial	$2$	$11$	$5232.24714257$
20.4.337...161.1	$x^{20} - 2 x^{19} + x^{18} + x^{17} - 8 x^{16} + 6 x^{15} - 4 x^{14} - 10 x^{13} + 9 x^{12} - 11 x^{11} + 16 x^{10} + 19 x^{9} - 23 x^{8} - x^{7} + 4 x^{6} - 2 x^{5} + 7 x^{4} - 3 x^{3} - 4 x^{2} + 2 x + 1$	$20$	[4,8]	$13^{12}\cdot 347^{4}$	$2$	$15.0117701559$	$127.53290478781567$			?	$C_2\wr S_5$ (as 20T279)	trivial	$2$	$11$	$5461.34214932$
20.4.343...621.1	$x^{20} - 3 x^{19} + 3 x^{18} + 3 x^{17} - 14 x^{16} + 21 x^{15} - 19 x^{14} - 3 x^{13} + 37 x^{12} - 50 x^{11} + 46 x^{10} - 32 x^{9} + 5 x^{8} + 2 x^{7} - 20 x^{6} + 10 x^{5} + 2 x^{4} + 8 x^{3} + 3 x^{2} + 1$	$20$	[4,8]	$17^{4}\cdot 23\cdot 2297^{4}\cdot 6427$	$4$	$15.0248031286$	$75975.40542175474$			?	$C_2^9.C_2^5.S_5$ (as 20T992)	trivial	$2$	$11$	$5348.48005173$