Number field search results

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

Results (1-50 of 2507 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
20.8.381...921.1	$x^{20} - 3 x^{19} - x^{18} + 10 x^{17} - 7 x^{16} - 7 x^{15} + 31 x^{14} - 30 x^{13} - 75 x^{12} + 104 x^{11} + 88 x^{10} - 139 x^{9} - 15 x^{8} + 81 x^{7} - 63 x^{6} - 18 x^{5} + 56 x^{4} + 2 x^{3} - 16 x^{2} - x + 1$	$20$	[8,6]	$11^{16}\cdot 43^{2}\cdot 67^{2}$	$3$	$15.103182629$	$365.49865006155005$			?	$C_2^{10}:C_5$ (as 20T341)	trivial	$2$	$13$	$10715.7554938$
20.8.444...184.1	$x^{20} - 4 x^{18} - 10 x^{17} - 3 x^{16} + 8 x^{15} + 48 x^{14} + 38 x^{13} + 48 x^{12} + 26 x^{11} - 20 x^{10} + 20 x^{9} - 53 x^{8} - 64 x^{7} - 14 x^{6} + 14 x^{5} + 51 x^{4} + 4 x^{3} - 18 x^{2} + 1$	$20$	[8,6]	$2^{30}\cdot 13^{4}\cdot 347^{4}$	$3$	$15.2194710516$				?	$C_3^5.D_6$ (as 20T669)	trivial	$2$	$13$	$11682.1932352$
20.8.444...184.2	$x^{20} - 2 x^{19} - 6 x^{18} + 10 x^{17} + x^{16} - 12 x^{15} + 48 x^{14} - 4 x^{13} - 2 x^{12} + 8 x^{11} - 116 x^{10} + 8 x^{9} - 2 x^{8} - 4 x^{7} + 48 x^{6} - 12 x^{5} + x^{4} + 10 x^{3} - 6 x^{2} - 2 x + 1$	$20$	[8,6]	$2^{30}\cdot 13^{4}\cdot 347^{4}$	$3$	$15.2194710516$				?	$C_3^5.D_6$ (as 20T669)	trivial	$2$	$13$	$11688.2431013$
20.8.487...529.1	$x^{20} - 2 x^{19} - 3 x^{18} - x^{17} + 28 x^{16} - 3 x^{15} - 102 x^{14} + 56 x^{13} + 145 x^{12} - 48 x^{11} - 143 x^{10} - 48 x^{9} + 145 x^{8} + 56 x^{7} - 102 x^{6} - 3 x^{5} + 28 x^{4} - x^{3} - 3 x^{2} - 2 x + 1$	$20$	[8,6]	$3^{6}\cdot 401^{8}$	$2$	$15.2895296499$	$34.68429039204925$			?	$C_2\wr D_5$ (as 20T85)	trivial	$2$	$13$	$12914.3678688$
20.8.882...929.1	$x^{20} - 4 x^{19} + 6 x^{18} - 4 x^{17} - 9 x^{16} + 35 x^{15} - 49 x^{14} + 25 x^{13} + 31 x^{12} - 93 x^{11} + 108 x^{10} - 17 x^{9} - 39 x^{8} + 9 x^{7} - 11 x^{6} + 8 x^{5} - 69 x^{4} + 80 x^{3} - 4 x^{2} - 4 x - 1$	$20$	[8,6]	$7^{6}\cdot 43^{4}\cdot 1217^{4}$	$3$	$15.7500239586$	$605.2412742039327$			?	$C_2^9.C_2^5.S_5$ (as 20T994)	trivial	$2$	$13$	$17114.8301557$
20.8.107...481.1	$x^{20} - 10 x^{18} - x^{17} + 37 x^{16} + 11 x^{15} - 49 x^{14} - x^{13} - 26 x^{12} - 121 x^{11} + 145 x^{10} + 314 x^{9} - 151 x^{8} - 350 x^{7} + 55 x^{6} + 193 x^{5} + 3 x^{4} - 51 x^{3} - 6 x^{2} + 5 x + 1$	$20$	[8,6]	$29^{2}\cdot 61^{6}\cdot 397^{4}$	$3$	$15.9073139193$	$2342.025549741401$			?	$C_2^{10}.S_5$ (as 20T799)	trivial	$2$	$13$	$19460.7467832$
20.8.120...625.1	$x^{20} - 8 x^{18} - 5 x^{17} + 24 x^{16} + 14 x^{15} - 54 x^{14} - 7 x^{13} + 138 x^{12} + 57 x^{11} - 201 x^{10} - 171 x^{9} + 159 x^{8} + 207 x^{7} - 95 x^{6} - 166 x^{5} + 24 x^{4} + 77 x^{3} + 14 x^{2} - 6 x - 1$	$20$	[8,6]	$5^{10}\cdot 109\cdot 149\cdot 2760559^{2}$	$4$	$15.9998291006$	$473467.20434999507$			?	$C_2^{10}.S_5\wr C_2$ (as 20T1045)	trivial	$2$	$13$	$20311.8930394$
20.8.155...521.1	$x^{20} - 5 x^{19} + 6 x^{18} + 10 x^{17} - 43 x^{16} + 58 x^{15} + 65 x^{14} - 261 x^{13} + 4 x^{12} + 418 x^{11} - 21 x^{10} - 308 x^{9} - 85 x^{8} + 73 x^{7} + 51 x^{6} + 63 x^{5} + 25 x^{4} - 24 x^{3} - 25 x^{2} - 2 x + 1$	$20$	[8,6]	$11^{18}\cdot 23^{4}$	$2$	$16.2031325156$	$41.50661671665305$			?	$C_2\wr C_5$ (as 20T41)	trivial	$2$	$13$	$25426.9866338$
20.8.155...521.2	$x^{20} - x^{19} - 11 x^{18} + 12 x^{17} + 43 x^{16} - 44 x^{15} - 76 x^{14} + 65 x^{13} + 66 x^{12} - 32 x^{11} - 45 x^{10} - 32 x^{9} + 66 x^{8} + 65 x^{7} - 76 x^{6} - 44 x^{5} + 43 x^{4} + 12 x^{3} - 11 x^{2} - x + 1$	$20$	[8,6]	$11^{18}\cdot 23^{4}$	$2$	$16.2031325156$	$41.50661671665305$			?	$C_2^5:C_{10}$ (as 20T74)	trivial	$2$	$13$	$23765.4873934$
20.8.155...521.3	$x^{20} - 5 x^{19} + 11 x^{18} - 7 x^{17} - 31 x^{16} + 121 x^{15} - 226 x^{14} + 239 x^{13} - 55 x^{12} - 277 x^{11} + 527 x^{10} - 490 x^{9} + 231 x^{8} + 7 x^{7} - 79 x^{6} + 66 x^{5} - 60 x^{4} + 25 x^{3} + 11 x^{2} - 9 x + 1$	$20$	[8,6]	$11^{18}\cdot 23^{4}$	$2$	$16.2031325156$	$41.50661671665305$			?	$C_2^5:C_{10}$ (as 20T74)	trivial	$2$	$13$	$23765.4873934$
20.8.173...656.1	$x^{20} - 4 x^{19} - 2 x^{18} + 30 x^{17} - 29 x^{16} - 88 x^{15} + 222 x^{14} - 70 x^{13} - 398 x^{12} + 668 x^{11} - 300 x^{10} - 382 x^{9} + 684 x^{8} - 460 x^{7} + 166 x^{6} - 78 x^{5} + 29 x^{4} + 44 x^{3} - 30 x^{2} - 8 x + 1$	$20$	[8,6]	$2^{20}\cdot 31^{4}\cdot 53^{4}\cdot 61^{3}$	$4$	$16.2913466063$				?	$C_4^5.S_5$ (as 20T791)	trivial	$2$	$13$	$29938.8300885$
20.8.186...656.1	$x^{20} - 4 x^{18} - 2 x^{17} + x^{16} + 28 x^{15} - 23 x^{14} - 32 x^{13} + 46 x^{12} - 54 x^{11} + 112 x^{10} - 72 x^{9} - 68 x^{8} + 94 x^{7} - 27 x^{6} + 26 x^{5} - 45 x^{4} + 18 x^{3} + 7 x^{2} - 6 x + 1$	$20$	[8,6]	$2^{20}\cdot 36497^{4}$	$2$	$16.348632414$				?	$C_2^9.C_2^5.S_5$ (as 20T994)	trivial	$2$	$13$	$27758.3706543$
20.8.206...544.1	$x^{20} - 5 x^{18} + 4 x^{16} + 14 x^{14} - 33 x^{12} - 3 x^{10} + 65 x^{8} - 14 x^{6} - 43 x^{4} + 4 x^{2} + 1$	$20$	[8,6]	$2^{10}\cdot 3^{4}\cdot 17^{4}\cdot 4153^{4}$	$4$	$16.432415938$	$1688.0966012168024$			?	$C_2^9.C_2^4:S_5$ (as 20T964)	trivial	$2$	$13$	$30273.1886548$
20.8.232...696.1	$x^{20} - 10 x^{19} + 45 x^{18} - 120 x^{17} + 209 x^{16} - 244 x^{15} + 182 x^{14} - 64 x^{13} - 38 x^{12} + 124 x^{11} - 222 x^{10} + 268 x^{9} - 171 x^{8} - 22 x^{7} + 137 x^{6} - 100 x^{5} + 13 x^{4} + 24 x^{3} - 12 x^{2} + 1$	$20$	[8,6]	$2^{20}\cdot 38569^{4}$	$2$	$16.530183377$				?	$C_2^9.C_2^5.S_5$ (as 20T994)	trivial	$2$	$13$	$29733.8971061$
20.8.272...449.1	$x^{20} - 7 x^{18} + 15 x^{16} - 8 x^{14} - 47 x^{12} + 154 x^{10} - 239 x^{8} + 208 x^{6} - 77 x^{4} - 2 x^{2} + 1$	$20$	[8,6]	$29^{2}\cdot 61^{4}\cdot 97^{2}\cdot 397^{4}$	$4$	$16.6625337302$	$8253.63077681574$			?	$C_2^{10}.S_5$ (as 20T799)	trivial	$2$	$13$	$32384.0191353$
20.8.273...984.1	$x^{20} + 8 x^{18} + 23 x^{16} + 23 x^{14} - 24 x^{12} - 73 x^{10} - 28 x^{8} + 53 x^{6} + 27 x^{4} - 12 x^{2} + 1$	$20$	[8,6]	$2^{10}\cdot 11^{16}\cdot 241^{2}$	$3$	$16.665979766$	$387.7518792261165$			?	$C_2^5.C_2^8:C_{10}$ (as 20T751)	trivial	$2$	$13$	$32416.3312991$
20.8.391...089.1	$x^{20} - 3 x^{19} - 4 x^{18} + 18 x^{17} + 9 x^{16} - 52 x^{15} - 27 x^{14} + 97 x^{13} + 71 x^{12} - 99 x^{11} - 131 x^{10} + 44 x^{9} + 108 x^{8} + 17 x^{7} - 14 x^{6} - 36 x^{5} - 18 x^{4} + 16 x^{3} + 10 x^{2} - 7 x + 1$	$20$	[8,6]	$11^{18}\cdot 89^{3}$	$2$	$16.9692214637$	$250.78174595029245$			?	$C_4\wr C_5.C_2$ (as 20T432)	trivial	$2$	$13$	$41392.1603807$
20.8.408...344.1	$x^{20} - 5 x^{18} - 2 x^{17} + 21 x^{16} - 42 x^{14} - 30 x^{13} + 10 x^{12} + 40 x^{11} + 30 x^{10} + 66 x^{9} + 33 x^{8} - 58 x^{7} - 27 x^{6} + 2 x^{5} + 9 x^{4} + 16 x^{3} + 2 x^{2} - 4 x - 1$	$20$	[8,6]	$2^{20}\cdot 13^{4}\cdot 97^{2}\cdot 347^{4}$	$4$	$17.0044165248$				?	$C_2^9.C_2^4:S_5$ (as 20T964)	trivial	$2$	$13$	$40383.3370327$
20.8.422...744.1	$x^{20} - 4 x^{19} - 4 x^{18} + 32 x^{17} - 13 x^{16} - 86 x^{15} + 66 x^{14} + 156 x^{13} - 181 x^{12} - 144 x^{11} + 266 x^{10} + 38 x^{9} - 198 x^{8} - 16 x^{7} + 92 x^{6} + 46 x^{5} - 34 x^{4} - 30 x^{3} + 8 x^{2} + 8 x + 1$	$20$	[8,6]	$2^{30}\cdot 89^{8}$	$2$	$17.0333863103$				?	$C_2^8.S_5$ (as 20T555)	trivial	$2$	$13$	$52570.1964933$
20.8.439...093.1	$x^{20} - 10 x^{18} - 2 x^{17} + 36 x^{16} - 91 x^{14} + 5 x^{13} + 221 x^{12} + 163 x^{11} - 156 x^{10} - 264 x^{9} - 62 x^{8} + 22 x^{7} - 69 x^{6} - 26 x^{5} + 47 x^{4} + 2 x^{3} - 7 x^{2} + 10 x - 1$	$20$	[8,6]	$13^{13}\cdot 347^{4}$	$2$	$17.0658951848$	$127.53290478781567$			?	$C_4\times C_2^4:S_5$ (as 20T369)	trivial	$2$	$13$	$45341.4653783$
20.8.490...501.1	$x^{20} - 5 x^{19} + 8 x^{18} - 6 x^{16} - 34 x^{15} + 74 x^{14} + 102 x^{13} - 547 x^{12} + 775 x^{11} - 266 x^{10} - 574 x^{9} + 829 x^{8} - 424 x^{7} + 2 x^{6} + 142 x^{5} - 101 x^{4} + 22 x^{3} + 6 x^{2} - 4 x + 1$	$20$	[8,6]	$11^{16}\cdot 197^{2}\cdot 2749$	$3$	$17.1600878845$	$5011.118019111753$			?	$C_2^{10}.C_2\wr C_5$ (as 20T846)	trivial	$2$	$13$	$44829.7189708$
20.8.613...432.1	$x^{20} - 4 x^{19} + 3 x^{18} + 16 x^{17} - 33 x^{16} + 16 x^{15} - 6 x^{14} - 28 x^{13} + 93 x^{12} - 128 x^{11} + 157 x^{10} - 128 x^{9} + 93 x^{8} - 28 x^{7} - 6 x^{6} + 16 x^{5} - 33 x^{4} + 16 x^{3} + 3 x^{2} - 4 x + 1$	$20$	[8,6]	$2^{20}\cdot 17\cdot 61^{4}\cdot 397^{4}$	$4$	$17.3530776484$				?	$C_2^{10}.C_2\wr S_5$ (as 20T1015)	trivial	$2$	$13$	$53843.9084365$
20.8.648...921.1	$x^{20} - 7 x^{19} + 24 x^{18} - 57 x^{17} + 109 x^{16} - 169 x^{15} + 180 x^{14} - 117 x^{13} + 63 x^{12} - 44 x^{11} - 32 x^{10} + 154 x^{9} - 177 x^{8} + 78 x^{7} + 42 x^{6} - 81 x^{5} + 35 x^{4} + 14 x^{3} - 16 x^{2} - 2 x + 1$	$20$	[8,6]	$11^{16}\cdot 109^{4}$	$2$	$17.4020113555$	$71.09309101858766$			?	$C_2\wr C_5$ (as 20T41)	trivial	$2$	$13$	$51203.8375809$
20.8.648...921.2	$x^{20} - 3 x^{19} - 6 x^{18} + 19 x^{17} + 15 x^{16} - 24 x^{15} - 77 x^{14} + 18 x^{13} + 153 x^{12} + 37 x^{11} - 136 x^{10} - 174 x^{9} + 100 x^{8} + 140 x^{7} + 49 x^{6} - 99 x^{5} - 51 x^{4} + 14 x^{3} + 19 x^{2} + 7 x - 1$	$20$	[8,6]	$11^{16}\cdot 109^{4}$	$2$	$17.4020113555$	$71.09309101858766$			?	$C_2^4.C_2\wr C_5$ (as 20T254)	trivial	$2$	$13$	$52116.6493707$
20.8.680...129.1	$x^{20} - x^{19} + 8 x^{17} - 23 x^{16} + 46 x^{15} - 74 x^{14} + 79 x^{13} - 60 x^{12} - 6 x^{11} + 81 x^{10} - 206 x^{9} + 260 x^{8} - 124 x^{7} + 71 x^{6} - 108 x^{5} - 214 x^{4} + 189 x^{3} + 77 x^{2} - 20 x + 1$	$20$	[8,6]	$11^{16}\cdot 23^{6}$	$2$	$17.4434545876$	$32.65713384043754$			?	$C_2\wr C_5$ (as 20T46)	trivial	$2$	$13$	$52598.7023471$
20.8.690...096.1	$x^{20} - 6 x^{18} + 11 x^{16} + 8 x^{14} - 69 x^{12} + 108 x^{10} - 49 x^{8} - 34 x^{6} + 42 x^{4} - 12 x^{2} + 1$	$20$	[8,6]	$2^{40}\cdot 1583^{4}$	$2$	$17.456459867$				?	$C_2^8.D_5\wr C_2$ (as 20T638)	trivial	$2$	$13$	$55382.4518095$
20.8.690...096.2	$x^{20} - 10 x^{18} + 41 x^{16} - 106 x^{14} + 184 x^{12} - 192 x^{10} + 91 x^{8} + 10 x^{6} - 21 x^{4} + 2 x^{2} + 1$	$20$	[8,6]	$2^{40}\cdot 1583^{4}$	$2$	$17.456459867$				?	$C_2^8.D_5\wr C_2$ (as 20T638)	trivial	$2$	$13$	$52384.8191302$
20.8.690...096.3	$x^{20} - 4 x^{18} + 2 x^{16} + x^{12} + 26 x^{10} - 40 x^{8} + 18 x^{6} - 4 x^{4} + 1$	$20$	[8,6]	$2^{40}\cdot 1583^{4}$	$2$	$17.456459867$				?	$C_2^8.D_5^2:C_2^2$ (as 20T760)	trivial	$2$	$13$	$55615.4225725$
20.8.102...704.1	$x^{20} - 2 x^{18} + 2 x^{16} - 7 x^{14} + 8 x^{12} - 3 x^{10} + 8 x^{8} - 7 x^{6} + 2 x^{4} - 2 x^{2} + 1$	$20$	[8,6]	$2^{20}\cdot 7^{4}\cdot 43^{2}\cdot 1217^{4}$	$4$	$17.801416638$				✓	$C_2^{10}.S_5$ (as 20T799)	trivial	$2$	$13$	$64948.4279836$
20.8.105...856.1	$x^{20} - 7 x^{18} + 16 x^{16} - 2 x^{14} - 52 x^{12} + 100 x^{10} - 95 x^{8} + 49 x^{6} - 2 x^{4} - 8 x^{2} + 1$	$20$	[8,6]	$2^{10}\cdot 11^{18}\cdot 43^{2}$	$3$	$17.8285186648$	$208.17035666538675$			?	$C_2^5.C_2^8:C_{10}$ (as 20T751)	trivial	$2$	$13$	$74474.7293244$
20.8.107...376.1	$x^{20} - 6 x^{18} + 18 x^{16} - 40 x^{14} + 64 x^{12} - 64 x^{10} + 34 x^{8} - x^{6} - 4 x^{4} - 4 x^{2} + 1$	$20$	[8,6]	$2^{20}\cdot 53^{4}\cdot 59^{2}\cdot 139^{4}$	$4$	$17.8473331604$				?	$C_2^9.C_2^5.S_5$ (as 20T994)	trivial	$2$	$13$	$66061.7146449$
20.8.111...625.1	$x^{20} - 3 x^{19} - x^{18} + 14 x^{17} - 21 x^{16} + 20 x^{15} - 6 x^{14} - 91 x^{13} + 224 x^{12} - 130 x^{11} - 184 x^{10} + 330 x^{9} - 224 x^{8} + 85 x^{7} + 27 x^{6} - 99 x^{5} + 81 x^{4} - 13 x^{3} - 16 x^{2} + 8 x - 1$	$20$	[8,6]	$5^{10}\cdot 97^{2}\cdot 3319^{4}$	$3$	$17.8798399151$	$1268.7454433415712$			?	$C_2^8.D_5^2:C_2^2$ (as 20T760)	trivial	$2$	$13$	$62751.6666339$
20.8.115...704.1	$x^{20} - x^{18} + 9 x^{16} - 10 x^{14} + 23 x^{12} - 26 x^{10} - 9 x^{8} + 5 x^{6} + 14 x^{4} - 8 x^{2} + 1$	$20$	[8,6]	$2^{20}\cdot 1483^{2}\cdot 2236369^{2}$	$3$	$17.9101184096$				?	$C_2^9.S_{10}$ (as 20T1105)	trivial	$2$	$13$	$70487.6847818$
20.8.115...704.2	$x^{20} - 3 x^{18} + x^{14} + 5 x^{12} - 8 x^{6} + 8 x^{4} - 6 x^{2} + 1$	$20$	[8,6]	$2^{20}\cdot 1483^{2}\cdot 2236369^{2}$	$3$	$17.9101184096$				?	$C_2^9.S_{10}$ (as 20T1105)	trivial	$2$	$13$	$65770.061771$
20.8.116...376.1	$x^{20} - 5 x^{18} - 4 x^{17} + 4 x^{16} + 16 x^{15} + 16 x^{14} + 26 x^{13} - 214 x^{12} + 146 x^{11} + 368 x^{10} - 570 x^{9} - 103 x^{8} + 618 x^{7} - 214 x^{6} - 304 x^{5} + 216 x^{4} + 98 x^{3} - 69 x^{2} - 26 x + 1$	$20$	[8,6]	$2^{20}\cdot 11^{16}\cdot 241$	$3$	$17.9161626266$				?	$C_2^5.C_2^8:C_{10}$ (as 20T749)	trivial	$2$	$13$	$78951.9913365$
20.8.121...024.1	$x^{20} - 9 x^{18} + 34 x^{16} - 88 x^{14} + 166 x^{12} - 234 x^{10} + 250 x^{8} - 179 x^{6} + 74 x^{4} - 15 x^{2} + 1$	$20$	[8,6]	$2^{20}\cdot 13^{4}\cdot 167^{2}\cdot 347^{4}$	$4$	$17.9537927752$	$3324.606623095556$			?	$C_2^{10}.S_5$ (as 20T799)	trivial	$2$	$13$	$72749.2953869$
20.8.121...000.1	$x^{20} - 4 x^{18} + 2 x^{16} + 7 x^{14} + x^{12} - 27 x^{10} + 29 x^{8} - 4 x^{6} - 4 x^{4} - x^{2} + 1$	$20$	[8,6]	$2^{20}\cdot 5^{10}\cdot 1039^{2}\cdot 1049^{2}$	$4$	$17.9578401499$				?	$C_2^8.S_5\wr C_2$ (as 20T1030)	trivial	$2$	$13$	$69749.7608673$
20.8.121...000.2	$x^{20} + x^{14} - 17 x^{12} + 3 x^{10} + 34 x^{8} - 41 x^{6} + 25 x^{4} - 8 x^{2} + 1$	$20$	[8,6]	$2^{20}\cdot 5^{10}\cdot 1039^{2}\cdot 1049^{2}$	$4$	$17.9578401499$				?	$C_2^8.S_5\wr C_2$ (as 20T1030)	trivial	$2$	$13$	$72101.1365074$
20.8.136...744.1	$x^{20} - 4 x^{19} + 4 x^{18} + 6 x^{17} - 10 x^{16} + 4 x^{15} - 9 x^{14} - 14 x^{13} - 23 x^{12} + 88 x^{11} + 8 x^{10} - 80 x^{9} - 18 x^{8} + 52 x^{7} + 76 x^{6} - 148 x^{5} + 82 x^{4} - 28 x^{3} + 22 x^{2} - 12 x + 2$	$20$	[8,6]	$2^{38}\cdot 2657^{4}$	$2$	$18.0648892188$				?	$C_2^8.A_5^2:C_2^3$ (as 20T1028)	trivial	$2$	$13$	$140743.035807$
20.8.139...472.1	$x^{20} - 5 x^{19} + 9 x^{18} - 5 x^{17} - 23 x^{16} + 102 x^{15} - 254 x^{14} + 440 x^{13} - 517 x^{12} + 307 x^{11} + 313 x^{10} - 1221 x^{9} + 1967 x^{8} - 2052 x^{7} + 1492 x^{6} - 824 x^{5} + 399 x^{4} - 179 x^{3} + 63 x^{2} - 13 x + 1$	$20$	[8,6]	$2^{24}\cdot 13^{3}\cdot 4409^{4}$	$3$	$18.0798789078$				?	$C_4^5.S_5$ (as 20T791)	trivial	$2$	$13$	$81558.7610319$
20.8.148...281.1	$x^{20} - x^{19} - 7 x^{18} + 12 x^{17} + 19 x^{16} - 58 x^{15} - 30 x^{14} + 152 x^{13} + 41 x^{12} - 241 x^{11} - 49 x^{10} + 241 x^{9} + 41 x^{8} - 152 x^{7} - 30 x^{6} + 58 x^{5} + 19 x^{4} - 12 x^{3} - 7 x^{2} + x + 1$	$20$	[8,6]	$23^{2}\cdot 97\cdot 9497\cdot 13219^{4}$	$4$	$18.1397130503$	$529227.3809365876$			✓	$C_2^{10}.C_2\wr S_5$ (as 20T1015)	trivial	$2$	$13$	$78334.2734658$
20.8.167...125.1	$x^{20} - 2 x^{19} - 10 x^{18} + 14 x^{17} + 43 x^{16} - 32 x^{15} - 102 x^{14} + 37 x^{13} + 167 x^{12} - 18 x^{11} - 195 x^{10} - 18 x^{9} + 167 x^{8} + 37 x^{7} - 102 x^{6} - 32 x^{5} + 43 x^{4} + 14 x^{3} - 10 x^{2} - 2 x + 1$	$20$	[8,6]	$5^{11}\cdot 61^{4}\cdot 397^{4}$	$3$	$18.2497773656$	$520.3405529608106$			?	$C_2^8.(C_4\times S_5)$ (as 20T802)	trivial	$2$	$13$	$99687.1831779$
20.8.185...896.1	$x^{20} - 5 x^{19} + 8 x^{18} - 10 x^{17} + 16 x^{16} - 4 x^{15} - x^{14} + x^{13} - 28 x^{12} + 24 x^{11} - 32 x^{10} + 15 x^{9} + 27 x^{8} - 10 x^{7} - 17 x^{6} - 38 x^{5} + 33 x^{4} + 19 x^{3} - 16 x^{2} - x + 1$	$20$	[8,6]	$2^{10}\cdot 3^{6}\cdot 17^{4}\cdot 4153^{4}$	$4$	$18.3406002338$	$2221.6600682148605$			?	$C_2^9.C_2^4:S_5$ (as 20T964)	trivial	$2$	$13$	$96380.8387012$
20.8.207...625.1	$x^{20} - 3 x^{19} - 2 x^{18} + 11 x^{17} - 16 x^{16} + 15 x^{15} + 9 x^{14} - 32 x^{13} + 63 x^{12} - 75 x^{11} + 83 x^{10} - 75 x^{9} + 63 x^{8} - 32 x^{7} + 9 x^{6} + 15 x^{5} - 16 x^{4} + 11 x^{3} - 2 x^{2} - 3 x + 1$	$20$	[8,6]	$5^{12}\cdot 419^{2}\cdot 695771^{2}$	$3$	$18.4437844154$	$57091.003446773015$			?	$C_2^8.S_5\wr C_2$ (as 20T1030)	trivial	$2$	$13$	$95268.349044$
20.8.223...000.1	$x^{20} - 5 x^{19} + 10 x^{18} - 10 x^{17} + 9 x^{15} - 15 x^{14} + 60 x^{13} - 70 x^{12} - 15 x^{11} + 86 x^{10} - 105 x^{9} - 5 x^{8} + 80 x^{6} + 104 x^{5} - 80 x^{4} - 20 x^{3} - 20 x - 4$	$20$	[8,6]	$2^{16}\cdot 5^{23}\cdot 13^{4}$	$3$	$18.5109271642$				?	$C_4\times C_2^4:S_5$ (as 20T369)	trivial	$2$	$13$	$139199.815147$
20.8.227...128.1	$x^{20} - 2 x^{19} - 8 x^{18} + 14 x^{17} + 15 x^{16} - 50 x^{15} - 6 x^{14} + 90 x^{13} + x^{12} - 44 x^{11} + 43 x^{10} + 38 x^{9} + 8 x^{8} + 8 x^{7} + 20 x^{6} + 20 x^{5} - 29 x^{4} - 24 x^{3} + 11 x^{2} + 4 x - 1$	$20$	[8,6]	$2^{20}\cdot 11^{17}\cdot 43$	$3$	$18.5305026873$				?	$C_2^5.C_2^8:C_{10}$ (as 20T749)	trivial	$2$	$13$	$117458.940016$
20.8.229...128.1	$x^{20} - 2 x^{19} - 2 x^{18} + 4 x^{17} - 23 x^{16} + 8 x^{15} + 36 x^{14} - 34 x^{13} + 13 x^{12} + 214 x^{11} + 322 x^{10} + 14 x^{9} - 339 x^{8} - 262 x^{7} + 2 x^{6} + 142 x^{5} + 36 x^{4} - 46 x^{3} + 4 x^{2} + 14 x + 1$	$20$	[8,6]	$2^{30}\cdot 37\cdot 4903^{4}$	$3$	$18.5373418265$				?	$C_2^9.C_2^5.S_5$ (as 20T992)	trivial	$2$	$13$	$102142.255333$
20.8.229...128.2	$x^{20} - 6 x^{19} + 8 x^{18} + 16 x^{17} - 31 x^{16} - 42 x^{15} + 22 x^{14} + 286 x^{13} - 199 x^{12} - 728 x^{11} + 844 x^{10} + 672 x^{9} - 1215 x^{8} - 182 x^{7} + 764 x^{6} + 22 x^{5} - 250 x^{4} - 32 x^{3} + 36 x^{2} + 12 x + 1$	$20$	[8,6]	$2^{30}\cdot 37\cdot 4903^{4}$	$3$	$18.5373418265$				?	$C_2^9.C_2^5.S_5$ (as 20T992)	trivial	$2$	$13$	$102286.842489$
20.8.229...128.3	$x^{20} - 4 x^{19} - 2 x^{18} + 26 x^{17} - 6 x^{16} - 116 x^{15} + 154 x^{14} + 54 x^{13} - 112 x^{12} - 120 x^{11} - 200 x^{10} + 996 x^{9} - 831 x^{8} + 12 x^{7} - 154 x^{6} + 710 x^{5} - 534 x^{4} + 150 x^{3} - 30 x^{2} + 6 x + 1$	$20$	[8,6]	$2^{30}\cdot 37\cdot 4903^{4}$	$3$	$18.537341826459027$				?	$C_2^9.C_2^5.S_5$ (as 20T992)	trivial	$2$	$13$	$101191.2982958039$
20.8.229...721.1	$x^{20} - 10 x^{19} + 33 x^{18} - 12 x^{17} - 160 x^{16} + 260 x^{15} + 251 x^{14} - 799 x^{13} - 123 x^{12} + 1297 x^{11} - 52 x^{10} - 1396 x^{9} + 42 x^{8} + 1031 x^{7} + 58 x^{6} - 475 x^{5} - 69 x^{4} + 110 x^{3} + 20 x^{2} - 7 x - 1$	$20$	[8,6]	$3^{6}\cdot 61\cdot 11119^{4}\cdot 33829$	$4$	$18.5387510375$	$262363.2427246622$			?	$C_2^{10}.C_2\wr S_5$ (as 20T1015)	trivial	$2$	$13$	$99704.5727669$