Number field search results

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

Results (1-50 of 37778 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
20.0.267...376.1	$x^{20} - 2 x^{19} + 6 x^{16} - 18 x^{15} + 17 x^{14} + 4 x^{13} + 25 x^{12} - 92 x^{11} + 92 x^{10} - 34 x^{9} + 44 x^{8} - 140 x^{7} + 188 x^{6} - 144 x^{5} + 88 x^{4} - 54 x^{3} + 27 x^{2} - 8 x + 1$	$20$	[0,10]	$2^{20}\cdot 761^{5}$	$2$	$10.5045187321$	$55.17245689653489$			?	$D_5\wr C_2$ (as 20T48)	trivial	$4$	$9$	$99.9526828541$
20.0.287...032.1	$x^{20} - 4 x^{19} + 6 x^{18} - 4 x^{17} - 2 x^{16} + 10 x^{15} - 10 x^{14} - 12 x^{13} + 43 x^{12} - 38 x^{11} + 21 x^{10} - 38 x^{9} + 43 x^{8} - 12 x^{7} - 10 x^{6} + 10 x^{5} - 2 x^{4} - 4 x^{3} + 6 x^{2} - 4 x + 1$	$20$	[0,10]	$2^{30}\cdot 193^{5}$	$2$	$10.5422745134$	$39.293765408777$			?	$D_5\wr C_2$ (as 20T48)	trivial	$2$	$9$	$52.0455573525$
20.0.362...561.1	$x^{20} - x^{19} + 3 x^{18} - 4 x^{17} + 5 x^{16} - 7 x^{15} + 8 x^{14} - x^{13} + 8 x^{12} - 3 x^{11} + 3 x^{10} + 3 x^{9} - 13 x^{8} + 17 x^{7} + 8 x^{6} - 8 x^{5} + x^{4} + 4 x^{3} + 1$	$20$	[0,10]	$47^{10}\cdot 83^{2}$	$2$	$10.6648987866$	$62.457985878508765$			?	$C_2\wr D_5$ (as 20T81)	trivial	$2$	$9$	$59.602445011$
20.0.369...048.1	$x^{20} - 7 x^{19} + 26 x^{18} - 64 x^{17} + 116 x^{16} - 153 x^{15} + 128 x^{14} - 4 x^{13} - 199 x^{12} + 398 x^{11} - 478 x^{10} + 372 x^{9} - 118 x^{8} - 158 x^{7} + 328 x^{6} - 344 x^{5} + 249 x^{4} - 129 x^{3} + 46 x^{2} - 10 x + 1$	$20$	[0,10]	$2^{16}\cdot 3^{10}\cdot 157^{5}$	$3$	$10.6747948392$	$37.7863071184893$			?	$D_5\wr C_2$ (as 20T48)	trivial	$6$	$9$	$182.345344476$
20.0.379...597.1	$x^{20} - 5 x^{19} + 6 x^{18} + 14 x^{17} - 46 x^{16} + 25 x^{15} + 73 x^{14} - 122 x^{13} - 8 x^{12} + 193 x^{11} - 146 x^{10} - 144 x^{9} + 308 x^{8} - 127 x^{7} - 128 x^{6} + 161 x^{5} - 46 x^{4} - 26 x^{3} + 25 x^{2} - 8 x + 1$	$20$	[0,10]	$3^{15}\cdot 31^{9}$	$2$	$10.6894092173$	$50.12639424180317$			?	$C_{10}\wr C_2$ (as 20T53)	trivial	$6$	$9$	$181.753135766$
20.0.405...161.1	$x^{20} - 6 x^{19} + 23 x^{18} - 66 x^{17} + 154 x^{16} - 304 x^{15} + 519 x^{14} - 778 x^{13} + 1036 x^{12} - 1233 x^{11} + 1317 x^{10} - 1265 x^{9} + 1093 x^{8} - 845 x^{7} + 580 x^{6} - 349 x^{5} + 180 x^{4} - 76 x^{3} + 25 x^{2} - 6 x + 1$	$20$	[0,10]	$7^{2}\cdot 53^{6}\cdot 139^{4}$	$3$	$10.7249561432$	$227.08808863522543$			?	$C_2^{10}.S_5$ (as 20T799)	trivial	$2$	$9$	$62.9466310057$
20.0.540...000.1	$x^{20} - 3 x^{19} + 7 x^{18} - 5 x^{17} + 4 x^{16} + 11 x^{15} - 9 x^{14} + 21 x^{13} + 18 x^{12} - 9 x^{11} + 49 x^{10} - 9 x^{9} + 18 x^{8} + 21 x^{7} - 9 x^{6} + 11 x^{5} + 4 x^{4} - 5 x^{3} + 7 x^{2} - 3 x + 1$	$20$	[0,10]	$2^{16}\cdot 5^{10}\cdot 61^{5}$	$3$	$10.8803147116$	$30.407023951240983$			?	$D_5\wr C_2$ (as 20T48)	trivial	$2$	$9$	$75.025557452$
20.0.569...801.1	$x^{20} - 4 x^{19} + 8 x^{18} - 12 x^{17} + 6 x^{16} + 11 x^{15} - 13 x^{14} - 4 x^{13} + 37 x^{12} - 63 x^{11} + 41 x^{10} + 4 x^{9} + 12 x^{8} - 58 x^{7} + 30 x^{6} + 7 x^{5} + 9 x^{4} - 12 x^{3} + 1$	$20$	[0,10]	$7^{10}\cdot 17^{10}$	$2$	$10.9087121146$	$10.908712114635714$		✓	?	$D_{10}$ (as 20T4)	trivial	$2$	$9$	$77.3255035829$
20.0.602...001.1	$x^{20} - 3 x^{19} + 4 x^{18} - 5 x^{17} + 9 x^{16} - 8 x^{15} + 9 x^{14} - 16 x^{13} + 11 x^{12} - 10 x^{11} + 17 x^{10} - 10 x^{9} + 11 x^{8} - 16 x^{7} + 9 x^{6} - 8 x^{5} + 9 x^{4} - 5 x^{3} + 4 x^{2} - 3 x + 1$	$20$	[0,10]	$47^{10}\cdot 107^{2}$	$2$	$10.9392439333$	$70.9154426059656$			?	$C_2\wr D_5$ (as 20T81)	trivial	$2$	$9$	$79.7167288943$
20.0.682...416.1	$x^{20} - 2 x^{19} + x^{18} - 3 x^{17} + 6 x^{16} - x^{15} + 3 x^{14} - 11 x^{13} - x^{12} + 6 x^{11} + 7 x^{10} - 5 x^{9} + 9 x^{8} - 16 x^{7} - x^{6} + x^{5} + 8 x^{4} + 4 x^{3} + 7 x^{2} - 3 x + 1$	$20$	[0,10]	$2^{10}\cdot 7^{10}\cdot 11^{9}$	$3$	$11.0075515033$	$45.79651518704091$			?	$C_{10}\wr C_2$ (as 20T53)	trivial	$2$	$9$	$87.3510823497$
20.0.684...976.1	$x^{20} - 2 x^{18} + x^{16} + 2 x^{14} - 4 x^{10} - x^{8} + 6 x^{6} - x^{4} - 2 x^{2} + 1$	$20$	[0,10]	$2^{30}\cdot 798143^{2}$	$2$	$11.0091316309$				?	$C_2\times S_{10}$ (as 20T1021)	trivial	$4$	$9$	$171.360926564$
20.0.695...025.1	$x^{20} - 5 x^{19} + 12 x^{18} - 18 x^{17} + 20 x^{16} - 23 x^{15} + 33 x^{14} - 44 x^{13} + 47 x^{12} - 51 x^{11} + 78 x^{10} - 122 x^{9} + 143 x^{8} - 115 x^{7} + 61 x^{6} - 22 x^{5} + 10 x^{4} - 9 x^{3} + 6 x^{2} - 2 x + 1$	$20$	[0,10]	$5^{2}\cdot 23^{2}\cdot 47^{10}$	$3$	$11.0184045293$	$192.49626779542413$			?	$C_2^9.D_{10}$ (as 20T412)	trivial	$2$	$9$	$86.800744447$
20.0.709...856.1	$x^{20} - 5 x^{19} + 15 x^{18} - 37 x^{17} + 78 x^{16} - 139 x^{15} + 219 x^{14} - 307 x^{13} + 386 x^{12} - 442 x^{11} + 463 x^{10} - 442 x^{9} + 386 x^{8} - 307 x^{7} + 219 x^{6} - 139 x^{5} + 78 x^{4} - 37 x^{3} + 15 x^{2} - 5 x + 1$	$20$	[0,10]	$2^{4}\cdot 83^{4}\cdot 983^{4}$	$3$	$11.0289031038$	$571.2757652832825$			?	$C_3^5.D_6$ (as 20T669)	trivial	$2$	$9$	$103.364702597$
20.0.715...000.1	$x^{20} + 2 x^{18} + 2 x^{16} + 4 x^{14} + 11 x^{12} + 14 x^{10} + 11 x^{8} + 6 x^{6} + 5 x^{4} + 4 x^{2} + 1$	$20$	[0,10]	$2^{10}\cdot 5^{4}\cdot 5783^{4}$	$3$	$11.0341691475$	$623.724552629587$			?	$C_2^9.C_2^4:S_5$ (as 20T964)	trivial	$2$	$9$	$87.5155752534$
20.0.750...776.1	$x^{20} + x^{16} + 5 x^{12} + 10 x^{10} + 9 x^{8} + 7 x^{6} + 3 x^{4} + 4 x^{2} + 1$	$20$	[0,10]	$2^{8}\cdot 41381^{4}$	$2$	$11.0604346619$	$575.3677085134341$			?	$C_2\times C_4^4:S_5$ (as 20T673)	trivial	$2$	$9$	$91.2702526158$
20.0.781...000.1	$x^{20} - 5 x^{19} + 5 x^{18} + 15 x^{17} - 30 x^{16} - 21 x^{15} + 75 x^{14} + 15 x^{13} - 120 x^{12} - 5 x^{11} + 141 x^{10} - 5 x^{9} - 120 x^{8} + 15 x^{7} + 75 x^{6} - 21 x^{5} - 30 x^{4} + 15 x^{3} + 5 x^{2} - 5 x + 1$	$20$	[0,10]	$2^{16}\cdot 5^{23}$	$2$	$11.0825449519$	$11.08254495193135$		✓	?	$F_5$ (as 20T5)	trivial	$10$	$9$	$525.931286845$
20.0.902...129.1	$x^{20} + x^{18} - 6 x^{17} - x^{16} - 4 x^{15} + 15 x^{14} + 7 x^{13} + 10 x^{12} - 17 x^{11} - 11 x^{10} - 17 x^{9} + 10 x^{8} + 7 x^{7} + 15 x^{6} - 4 x^{5} - x^{4} - 6 x^{3} + x^{2} + 1$	$20$	[0,10]	$3^{10}\cdot 11119^{4}$	$2$	$11.1628161853$	$182.6389881706532$			?	$C_2\wr S_5$ (as 20T279)	trivial	$6$	$9$	$293.866842819$
20.0.908...736.1	$x^{20} + 7 x^{18} + 22 x^{16} + 42 x^{14} + 59 x^{12} + 65 x^{10} + 55 x^{8} + 36 x^{6} + 17 x^{4} + 6 x^{2} + 1$	$20$	[0,10]	$2^{10}\cdot 47^{8}\cdot 193^{2}$	$3$	$11.1663149188$	$349.3484537310322$			?	$C_2^6.C_2^8:D_5$ (as 20T853)	trivial	$2$	$9$	$99.8204300191$
20.0.921...449.1	$x^{20} - 2 x^{19} - x^{18} + 5 x^{17} - 2 x^{16} - 3 x^{15} + 7 x^{14} - 24 x^{13} + 51 x^{12} - 67 x^{11} + 79 x^{10} - 95 x^{9} + 96 x^{8} - 81 x^{7} + 68 x^{6} - 53 x^{5} + 34 x^{4} - 20 x^{3} + 11 x^{2} - 4 x + 1$	$20$	[0,10]	$79\cdot 151\cdot 278005859^{2}$	$3$	$11.1746929003$	$1821079.8697506378$			?	$C_2^{10}.S_{10}$ (as 20T1110)	trivial	$2$	$9$	$104.951823132$
20.0.960...576.1	$x^{20} + 2 x^{18} + x^{14} + 7 x^{12} - 6 x^{10} + 7 x^{8} + x^{6} + 2 x^{2} + 1$	$20$	[0,10]	$2^{20}\cdot 5501^{4}$	$2$	$11.1974291876$				?	$C_3^5.D_6$ (as 20T669)	trivial	$2$	$9$	$103.153871476$
20.0.108...241.1	$x^{20} - 4 x^{19} + 10 x^{18} - 17 x^{17} + 26 x^{16} - 29 x^{15} + 24 x^{14} - 5 x^{13} - 7 x^{12} + 20 x^{11} - 14 x^{10} + 8 x^{9} + 12 x^{8} + x^{7} - 6 x^{6} + 9 x^{5} + 9 x^{4} - 2 x^{3} - x^{2} + x + 1$	$20$	[0,10]	$37^{4}\cdot 4903^{4}$	$2$	$11.2650396188$	$425.92370208759223$			?	$C_3^5.D_6$ (as 20T669)	trivial	$2$	$9$	$109.689161601$
20.0.124...125.1	$x^{20} - x^{19} + x^{18} - 2 x^{17} + 2 x^{16} - 5 x^{15} + 5 x^{14} - 4 x^{13} + 5 x^{12} - 3 x^{11} + 12 x^{10} - 8 x^{9} + 2 x^{8} - 6 x^{7} - x^{6} - 10 x^{5} + 6 x^{4} + 3 x^{3} + 2 x^{2} + x + 1$	$20$	[0,10]	$3^{4}\cdot 5^{17}\cdot 67^{4}$	$3$	$11.3439346292$	$61.989842465858416$			?	$C_4\times S_5$ (as 20T123)	trivial	$10$	$9$	$676.304774$
20.0.126...424.1	$x^{20} + 5 x^{18} + 14 x^{16} + 27 x^{14} + 41 x^{12} + 53 x^{10} + 55 x^{8} + 43 x^{6} + 22 x^{4} + 7 x^{2} + 1$	$20$	[0,10]	$2^{10}\cdot 3^{4}\cdot 11119^{4}$	$3$	$11.3540916318$	$669.9227623971964$			?	$C_2^9.C_2^4:S_5$ (as 20T964)	trivial	$2$	$9$	$117.777592282$
20.0.143...464.1	$x^{20} - 5 x^{19} + 11 x^{18} - 11 x^{17} - x^{16} + 16 x^{15} - 20 x^{14} + 11 x^{13} + 5 x^{12} - 20 x^{11} + 27 x^{10} - 2 x^{9} - 22 x^{8} + 40 x^{7} - 9 x^{6} - 5 x^{5} + 17 x^{4} - 7 x^{3} + 5 x^{2} - 3 x + 1$	$20$	[0,10]	$2^{10}\cdot 31^{3}\cdot 2617^{4}$	$3$	$11.4229952561$	$2574.3568552858005$			?	$C_2^{10}.C_2\wr S_5$ (as 20T1015)	trivial	$2$	$9$	$130.791344738$
20.0.159...669.1	$x^{20} - 6 x^{19} + 11 x^{18} - 13 x^{16} - 19 x^{15} + 50 x^{14} + 8 x^{13} - 42 x^{12} - 38 x^{11} + 42 x^{10} + 31 x^{9} + 17 x^{8} - 59 x^{7} + 6 x^{6} + 2 x^{5} - x^{4} + 15 x^{3} - 2 x^{2} - 3 x + 1$	$20$	[0,10]	$3^{10}\cdot 1609^{4}\cdot 4021$	$3$	$11.4838772002$	$4405.606314685869$			?	$C_2^8.(D_4\times S_5)$ (as 20T887)	trivial	$6$	$9$	$427.42684139$
20.0.160...377.1	$x^{20} - x^{19} + 5 x^{18} - 3 x^{17} + 9 x^{16} - x^{15} + 7 x^{14} + 4 x^{13} + 4 x^{12} + 5 x^{11} + 4 x^{10} + 3 x^{9} + 6 x^{8} + 5 x^{6} + 2 x^{5} - x^{4} + 3 x^{3} + 1$	$20$	[0,10]	$28753\cdot 236438047^{2}$	$2$	$11.4896260635$	$2607355.588597574$			?	$C_2^{10}.S_{10}$ (as 20T1110)	trivial	$2$	$9$	$140.247818215$
20.0.161...304.1	$x^{20} + 4 x^{16} - 4 x^{12} + 4 x^{8} - 8 x^{4} + 4$	$20$	[0,10]	$2^{38}\cdot 277^{4}$	$2$	$11.4935170807$				?	$C_2\wr S_5$ (as 20T279)	trivial	$4$	$9$	$476.032179845$
20.0.172...632.1	$x^{20} - x^{19} + x^{18} - 4 x^{17} - 3 x^{16} + 15 x^{15} + 3 x^{14} - 28 x^{13} + 2 x^{12} + 19 x^{11} + 29 x^{10} - 56 x^{9} + 17 x^{8} - 3 x^{7} + 26 x^{6} - 34 x^{5} + 37 x^{4} - 35 x^{3} + 21 x^{2} - 7 x + 1$	$20$	[0,10]	$2^{15}\cdot 47^{10}$	$2$	$11.5297907554$	$19.390719429665317$			?	$C_5:D_4$ (as 20T11)	trivial	$2$	$9$	$143.606119616$
20.2.181...944.1	$x^{20} - 6 x^{16} + 11 x^{12} + 3 x^{10} - 17 x^{8} + 6 x^{6} + 2 x^{2} - 1$	$20$	[2,9]	$-\,2^{10}\cdot 36497^{4}$	$2$	$11.5602288431$	$731.7693250181059$			?	$C_2^9.C_2^5.S_5$ (as 20T992)	trivial	$2$	$10$	$201.865023128$
20.0.208...625.1	$x^{20} - 4 x^{19} + 9 x^{18} - 14 x^{17} + 19 x^{16} - 29 x^{15} + 45 x^{14} - 60 x^{13} + 64 x^{12} - 62 x^{11} + 65 x^{10} - 52 x^{9} + 42 x^{8} - 47 x^{7} + 35 x^{6} - 24 x^{5} + 22 x^{4} - 11 x^{3} + 4 x^{2} - 3 x + 1$	$20$	[0,10]	$3^{10}\cdot 5^{8}\cdot 67^{6}$	$3$	$11.6404848489$	$118.60328889512358$			?	$C_2\wr S_5$ (as 20T288)	trivial	$6$	$9$	$527.926443922$
20.0.219...184.1	$x^{20} - 5 x^{19} + 11 x^{18} - 11 x^{17} - 2 x^{16} + 16 x^{15} - 2 x^{14} - 24 x^{13} + 22 x^{12} + 8 x^{11} - 22 x^{10} - 13 x^{9} + 14 x^{8} + 3 x^{7} + x^{6} + 15 x^{5} + 20 x^{4} + 9 x^{3} + 3 x^{2} + 2 x + 1$	$20$	[0,10]	$2^{10}\cdot 7^{6}\cdot 23^{2}\cdot 431^{4}$	$4$	$11.6711230384$	$1571.6553852184147$			?	$C_2^9.C_2^5.S_5$ (as 20T994)	trivial	$2$	$9$	$166.624941197$
20.2.226...904.1	$x^{20} + x^{18} - 4 x^{16} - 7 x^{14} - x^{12} + 21 x^{10} + 3 x^{8} - 13 x^{6} - 4 x^{4} + 3 x^{2} - 1$	$20$	[2,9]	$-\,2^{10}\cdot 38569^{4}$	$2$	$11.6886047601$	$752.2545201444624$			?	$C_2^9.C_2^5.S_5$ (as 20T992)	trivial	$2$	$10$	$228.08067214$
20.0.228...304.1	$x^{20} + 2 x^{18} - 3 x^{16} - 9 x^{14} - 2 x^{12} + 13 x^{10} + 16 x^{8} + x^{6} - 7 x^{4} + 1$	$20$	[0,10]	$2^{10}\cdot 7^{4}\cdot 5519^{4}$	$3$	$11.692481317282786$	$720.9588194674839$			?	$C_2^9.C_2^4:S_5$ (as 20T964)	trivial	$2$	$9$	$175.20160463169768$
20.0.238...224.1	$x^{20} + 5 x^{18} + 12 x^{16} + 19 x^{14} + 28 x^{12} + 50 x^{10} + 70 x^{8} + 62 x^{6} + 32 x^{4} + 9 x^{2} + 1$	$20$	[0,10]	$2^{10}\cdot 17^{4}\cdot 2297^{4}$	$3$	$11.7175544726$	$724.830066917672$			?	$C_2^9.C_2^4:S_5$ (as 20T964)	trivial	$2$	$9$	$176.861949817$
20.0.239...125.1	$x^{20} - 3 x^{19} + 9 x^{18} - 18 x^{17} + 34 x^{16} - 53 x^{15} + 77 x^{14} - 97 x^{13} + 114 x^{12} - 121 x^{11} + 116 x^{10} - 104 x^{9} + 79 x^{8} - 56 x^{7} + 33 x^{6} - 19 x^{5} + 12 x^{4} - 7 x^{3} + 5 x^{2} - 2 x + 1$	$20$	[0,10]	$5^{15}\cdot 280001^{2}$	$2$	$11.7204277355$	$1769.3236981512437$			?	$S_5^2:C_4$ (as 20T654)	trivial	$10$	$9$	$858.376938924$
20.0.246...125.1	$x^{20} - x^{19} - x^{16} - 2 x^{15} + 4 x^{14} - x^{13} + x^{12} + x^{11} + 4 x^{10} - 8 x^{9} + 2 x^{8} - x^{7} - 2 x^{6} - x^{5} + 8 x^{4} - 5 x^{3} + 3 x^{2} - 2 x + 1$	$20$	[0,10]	$5^{15}\cdot 13^{4}\cdot 41^{4}$	$3$	$11.7374281036$	$77.19534416036332$			?	$C_4\times S_5$ (as 20T123)	trivial	$10$	$9$	$887.733037213$
20.0.250...000.1	$x^{20} - 4 x^{19} + 7 x^{18} - 6 x^{17} - 2 x^{16} + 6 x^{15} + 14 x^{14} - 54 x^{13} + 64 x^{12} + 24 x^{11} - 190 x^{10} + 290 x^{9} - 169 x^{8} - 154 x^{7} + 464 x^{6} - 554 x^{5} + 417 x^{4} - 208 x^{3} + 66 x^{2} - 12 x + 1$	$20$	[0,10]	$2^{20}\cdot 5^{22}$	$2$	$11.7461894309$	$30.85169313600048$			?	$C_5\times D_{10}$ (as 20T24)	trivial	$4$	$9$	$397.737246993$
20.0.253...272.1	$x^{20} - x^{19} - 3 x^{18} + 7 x^{17} + 2 x^{16} - 17 x^{15} + 19 x^{14} - 17 x^{12} + 9 x^{11} + 34 x^{10} - 34 x^{9} - x^{8} + 32 x^{7} - 4 x^{6} + 4 x^{5} + 3 x^{3} - 3 x + 1$	$20$	[0,10]	$2^{10}\cdot 47^{11}$	$2$	$11.7535435191$	$68.75733100194925$			?	$C_2^9.D_{10}$ (as 20T423)	trivial	$2$	$9$	$179.782999261$
20.0.261...125.1	$x^{20} - 3 x^{19} + 9 x^{18} - 18 x^{17} + 33 x^{16} - 50 x^{15} + 73 x^{14} - 93 x^{13} + 118 x^{12} - 128 x^{11} + 135 x^{10} - 112 x^{9} + 88 x^{8} - 48 x^{7} + 27 x^{6} - 10 x^{5} + 10 x^{4} - 6 x^{3} + 6 x^{2} - 2 x + 1$	$20$	[0,10]	$5^{15}\cdot 199^{2}\cdot 1471^{2}$	$3$	$11.7726458118$	$1809.0908531435562$			?	$S_5^2:C_4$ (as 20T654)	trivial	$10$	$9$	$906.492535524$
20.0.278...609.1	$x^{20} - 2 x^{19} + 3 x^{18} - 12 x^{17} + 27 x^{16} - 39 x^{15} + 68 x^{14} - 127 x^{13} + 178 x^{12} - 215 x^{11} + 277 x^{10} - 328 x^{9} + 297 x^{8} - 211 x^{7} + 139 x^{6} - 82 x^{5} + 29 x^{4} + x^{3} - 3 x^{2} - x + 1$	$20$	[0,10]	$7^{2}\cdot 53^{4}\cdot 139^{6}$	$3$	$11.8105308401$	$227.08808863522543$			?	$C_2^{10}.S_5$ (as 20T799)	trivial	$2$	$9$	$192.366272752$
20.0.282...373.1	$x^{20} - 7 x^{19} + 24 x^{18} - 52 x^{17} + 75 x^{16} - 58 x^{15} - 28 x^{14} + 140 x^{13} - 109 x^{12} - 274 x^{11} + 1033 x^{10} - 1874 x^{9} + 2367 x^{8} - 2282 x^{7} + 1739 x^{6} - 1057 x^{5} + 509 x^{4} - 190 x^{3} + 53 x^{2} - 10 x + 1$	$20$	[0,10]	$3^{10}\cdot 37^{5}\cdot 109^{2}\cdot 241^{2}$	$4$	$11.8183109492$	$1707.5886507001621$			?	$S_5^2:D_4$ (as 20T781)	trivial	$6$	$9$	$567.746569822$
20.0.290...573.1	$x^{20} - 3 x^{19} + 3 x^{18} - 3 x^{17} + 8 x^{16} - 13 x^{15} + 16 x^{14} - 18 x^{13} + 22 x^{12} - 30 x^{11} + 32 x^{10} - 25 x^{9} + 18 x^{8} - 17 x^{7} + 25 x^{6} - 31 x^{5} + 29 x^{4} - 21 x^{3} + 11 x^{2} - 4 x + 1$	$20$	[0,10]	$67\cdot 83^{2}\cdot 631\cdot 1777^{4}$	$4$	$11.8345160476$	$78965.03661114836$			?	$C_2^{10}.C_2\wr S_5$ (as 20T1015)	trivial	$2$	$9$	$194.247728439$
20.0.294...449.1	$x^{20} - 6 x^{19} + 24 x^{18} - 72 x^{17} + 177 x^{16} - 363 x^{15} + 637 x^{14} - 973 x^{13} + 1307 x^{12} - 1556 x^{11} + 1649 x^{10} - 1556 x^{9} + 1307 x^{8} - 973 x^{7} + 637 x^{6} - 363 x^{5} + 177 x^{4} - 72 x^{3} + 24 x^{2} - 6 x + 1$	$20$	[0,10]	$11^{18}\cdot 23^{2}$	$2$	$11.84203118$	$41.50661671665305$			?	$C_2^5:C_{10}$ (as 20T86)	trivial	$22$	$9$	$2189.13991382$
20.2.294...176.1	$x^{20} + 3 x^{18} + 4 x^{16} + x^{14} - 3 x^{12} - 6 x^{10} - 9 x^{8} - 13 x^{6} - 12 x^{4} - 6 x^{2} - 1$	$20$	[2,9]	$-\,2^{12}\cdot 41^{2}\cdot 4549^{4}$	$3$	$11.8434865297$	$1690.4514439867726$			?	$C_2^{10}.C_2\wr S_5$ (as 20T1015)	trivial	$2$	$10$	$265.437747416$
20.0.294...176.1	$x^{20} + 6 x^{18} + 18 x^{16} + 39 x^{14} + 65 x^{12} + 73 x^{10} + 45 x^{8} + 4 x^{6} - 11 x^{4} - 2 x^{2} + 1$	$20$	[0,10]	$2^{12}\cdot 41^{2}\cdot 4549^{4}$	$3$	$11.8434865297$	$1452.6212370873382$			?	$C_2^{10}.S_5$ (as 20T799)	trivial	$2$	$9$	$198.57668435$
20.0.302...896.1	$x^{20} + x^{18} - 4 x^{17} + 2 x^{16} - 4 x^{15} + 7 x^{14} - 6 x^{13} + 8 x^{12} - 6 x^{11} + 7 x^{10} - 6 x^{9} + 4 x^{8} - 2 x^{7} - 2 x^{5} - x^{4} + x^{2} + 1$	$20$	[0,10]	$2^{20}\cdot 3^{10}\cdot 220873^{2}$	$3$	$11.8578208872$				?	$S_5^2:C_2^2$ (as 20T656)	trivial	$12$	$9$	$1171.34610492$
20.0.310...401.1	$x^{20} - x^{19} - 5 x^{18} + 22 x^{16} + x^{15} - 38 x^{14} - 11 x^{13} + 46 x^{12} + 11 x^{11} - 51 x^{10} + 11 x^{9} + 46 x^{8} - 11 x^{7} - 38 x^{6} + x^{5} + 22 x^{4} - 5 x^{2} - x + 1$	$20$	[0,10]	$3^{10}\cdot 47^{10}$	$2$	$11.874342087$	$11.874342087037917$		✓	?	$D_{10}$ (as 20T4)	trivial	$6$	$9$	$630.365304677$
20.0.330...241.1	$x^{20} - 2 x^{19} + 3 x^{18} - 6 x^{17} + 8 x^{16} - 9 x^{15} + 11 x^{14} - 10 x^{13} + 6 x^{12} - 5 x^{11} + x^{10} + 4 x^{9} - 4 x^{8} + 5 x^{7} - 5 x^{6} + 3 x^{5} - x^{4} + x^{2} - x + 1$	$20$	[0,10]	$3^{10}\cdot 236438047^{2}$	$2$	$11.9105650042$	$26632.95216456486$			?	$C_2\times S_{10}$ (as 20T1021)	trivial	$6$	$9$	$622.109043514$
20.0.335...752.1	$x^{20} - 2 x^{19} + 10 x^{17} - 15 x^{16} + 40 x^{14} - 64 x^{13} + 46 x^{12} + 8 x^{11} - 32 x^{10} + 8 x^{9} + 46 x^{8} - 64 x^{7} + 40 x^{6} - 15 x^{4} + 10 x^{3} - 2 x + 1$	$20$	[0,10]	$2^{16}\cdot 13^{15}$	$2$	$11.9201442437$	$11.920144243683046$		✓	?	$F_5$ (as 20T5)	trivial	$2$	$9$	$238.906276128$
20.0.340...929.1	$x^{20} - 2 x^{19} + 2 x^{18} - 4 x^{17} + 6 x^{16} - 4 x^{15} + 4 x^{14} - 7 x^{13} + 5 x^{12} - 6 x^{11} + 13 x^{10} - 14 x^{9} + 16 x^{8} - 22 x^{7} + 21 x^{6} - 17 x^{5} + 16 x^{4} - 11 x^{3} + 6 x^{2} - 3 x + 1$	$20$	[0,10]	$3^{10}\cdot 467^{2}\cdot 514417^{2}$	$3$	$11.9295440912$	$26845.823082930423$			?	$C_2\times S_{10}$ (as 20T1021)	trivial	$6$	$9$	$658.849285992$