Number field search results

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

Results (1-50 of 2139 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
12.0.528...089.1	$x^{12} - x^{11} + 99 x^{10} - 71 x^{9} + 3536 x^{8} - 1548 x^{7} + 55630 x^{6} - 5985 x^{5} + 377279 x^{4} + 187264 x^{3} + 822528 x^{2} + 1079414 x + 1930411$	$12$	[0,6]	$3^{6}\cdot 7^{10}\cdot 37^{6}$	$3$	$53.3224205817$	$53.322420581663856$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[6, 168]$	$2$	$5$	$140.7987960054707$
12.0.564...000.1	$x^{12} - 6 x^{11} + 61 x^{10} - 250 x^{9} + 1244 x^{8} - 3542 x^{7} + 8985 x^{6} - 15542 x^{5} + 32704 x^{4} - 43170 x^{3} + 56065 x^{2} - 36550 x + 84475$	$12$	[0,6]	$2^{18}\cdot 5^{6}\cdot 13^{10}$	$3$	$53.6186805424$	$53.61868054244727$	✓	✓		$C_6\times C_2$ (as 12T2)	$[2, 2, 252]$	$2$	$5$	$615.5445050404002$
12.0.564...000.2	$x^{12} - 2 x^{11} + 51 x^{10} - 82 x^{9} + 1279 x^{8} - 1658 x^{7} + 19320 x^{6} - 19260 x^{5} + 182902 x^{4} - 126884 x^{3} + 1022917 x^{2} - 377314 x + 2641211$	$12$	[0,6]	$2^{18}\cdot 5^{6}\cdot 13^{10}$	$3$	$53.6186805424$	$53.61868054244727$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[4, 4, 84]$	$2$	$5$	$120.78403136265631$
12.0.843...000.6	$x^{12} + 110 x^{10} + 4400 x^{8} + 78000 x^{6} + 600000 x^{4} + 1600000 x^{2} + 1000000$	$12$	[0,6]	$2^{18}\cdot 3^{6}\cdot 5^{6}\cdot 7^{10}$	$4$	$55.4420129182$	$55.442012918176914$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[2, 532]$	$2$	$5$	$140.7987960054707$
12.0.843...000.7	$x^{12} - 2 x^{11} + 49 x^{10} - 76 x^{9} + 1230 x^{8} - 1624 x^{7} + 19118 x^{6} - 20370 x^{5} + 188576 x^{4} - 153516 x^{3} + 1131480 x^{2} - 565856 x + 3101281$	$12$	[0,6]	$2^{18}\cdot 3^{6}\cdot 5^{6}\cdot 7^{10}$	$4$	$55.4420129182$	$55.442012918176914$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[30, 60]$	$2$	$5$	$140.7987960054707$
12.0.843...000.8	$x^{12} - 6 x^{11} + 93 x^{10} - 410 x^{9} + 3372 x^{8} - 11094 x^{7} + 60185 x^{6} - 143382 x^{5} + 553824 x^{4} - 880834 x^{3} + 2459025 x^{2} - 2040774 x + 5366971$	$12$	[0,6]	$2^{18}\cdot 3^{6}\cdot 5^{6}\cdot 7^{10}$	$4$	$55.4420129182$	$55.442012918176914$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[20, 140]$	$2$	$5$	$104.88200347693757$
12.0.863...248.1	$x^{12} + 91 x^{10} + 3185 x^{8} + 53508 x^{6} + 436982 x^{4} + 1529437 x^{2} + 1529437$	$12$	[0,6]	$2^{12}\cdot 7^{6}\cdot 13^{11}$	$3$	$55.5512397051$	$55.55123970513137$	✓	✓	?	$C_{12}$ (as 12T1)	$[10, 130]$	$2$	$5$	$120.784031363$
12.0.871...601.1	$x^{12} - 4 x^{11} + 61 x^{10} - 188 x^{9} + 1705 x^{8} - 4046 x^{7} + 27480 x^{6} - 48151 x^{5} + 269067 x^{4} - 313697 x^{3} + 1522264 x^{2} - 891138 x + 3924623$	$12$	[0,6]	$13^{10}\cdot 43^{6}$	$2$	$55.5930312256$	$55.5930312255636$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[2184]$	$2$	$5$	$120.78403136265631$
12.0.943...024.2	$x^{12} + 27 x^{10} + 501 x^{8} + 7735 x^{6} + 73521 x^{4} + 356943 x^{2} + 683929$	$12$	[0,6]	$2^{12}\cdot 3^{18}\cdot 29^{6}$	$3$	$55.9642743185$	$55.96427431853289$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[9, 126]$	$2$	$5$	$325.67540279491664$
12.0.977...125.1	$x^{12} - x^{11} + 93 x^{10} - 94 x^{9} + 3204 x^{8} - 3298 x^{7} + 52912 x^{6} - 59464 x^{5} + 463265 x^{4} - 537436 x^{3} + 2225015 x^{2} - 1732597 x + 5417371$	$12$	[0,6]	$5^{9}\cdot 7^{10}\cdot 11^{6}$	$3$	$56.1270494722$	$56.127049472200405$	✓	✓	?	$C_{12}$ (as 12T1)	$[2, 2, 628]$	$2$	$5$	$104.882003477$
12.0.978...561.1	$x^{12} - x^{11} + 110 x^{10} - 79 x^{9} + 4369 x^{8} - 1920 x^{7} + 76481 x^{6} - 8490 x^{5} + 577579 x^{4} + 278581 x^{3} + 1416470 x^{2} + 1806919 x + 3282511$	$12$	[0,6]	$3^{6}\cdot 7^{10}\cdot 41^{6}$	$3$	$56.1307599835$	$56.13075998354003$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[2, 2, 2, 14, 14]$	$2$	$5$	$140.7987960054707$
12.0.106...877.1	$x^{12} - x^{11} + 92 x^{10} - 92 x^{9} + 3277 x^{8} - 3277 x^{7} + 56785 x^{6} - 56785 x^{5} + 493767 x^{4} - 493767 x^{3} + 2023204 x^{2} - 2023204 x + 3552641$	$12$	[0,6]	$13^{11}\cdot 29^{6}$	$2$	$56.5345238235$	$56.534523823479496$	✓	✓	?	$C_{12}$ (as 12T1)	$[2, 628]$	$2$	$5$	$120.784031363$
12.0.130...529.1	$x^{12} - 4 x^{11} + 59 x^{10} - 184 x^{9} + 1656 x^{8} - 3896 x^{7} + 27033 x^{6} - 45972 x^{5} + 271828 x^{4} - 290946 x^{3} + 1620818 x^{2} - 766937 x + 4461997$	$12$	[0,6]	$3^{6}\cdot 7^{10}\cdot 43^{6}$	$3$	$57.4835024694$	$57.48350246941067$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[2, 2, 8, 8, 8]$	$2$	$5$	$140.7987960054707$
12.0.134...125.1	$x^{12} + 78 x^{10} - x^{9} + 2079 x^{8} - 441 x^{7} + 25088 x^{6} - 15957 x^{5} + 152430 x^{4} - 166064 x^{3} + 599634 x^{2} - 332247 x + 1522711$	$12$	[0,6]	$3^{18}\cdot 5^{9}\cdot 11^{6}$	$3$	$57.624308643$	$57.62430864303005$	✓	✓	?	$C_{12}$ (as 12T1)	$[2, 2, 458]$	$2$	$5$	$201.000834787$
12.0.148...321.4	$x^{12} - 4 x^{11} + 67 x^{10} - 208 x^{9} + 2040 x^{8} - 4886 x^{7} + 35616 x^{6} - 63001 x^{5} + 375610 x^{4} - 441883 x^{3} + 2275171 x^{2} - 1343635 x + 6235475$	$12$	[0,6]	$13^{10}\cdot 47^{6}$	$2$	$58.1212647071$	$58.12126470714304$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[20, 140]$	$2$	$5$	$120.784031363$
12.0.149...976.2	$x^{12} + 31 x^{10} + 401 x^{8} + 2883 x^{6} + 13353 x^{4} + 46331 x^{2} + 142129$	$12$	[0,6]	$2^{12}\cdot 3^{6}\cdot 7^{10}\cdot 11^{6}$	$4$	$58.1480737089$	$58.14807370894779$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[2, 504]$	$2$	$5$	$553.0667020684372$
12.0.149...976.3	$x^{12} + 39 x^{10} + 793 x^{8} + 10543 x^{6} + 89401 x^{4} + 428675 x^{2} + 877969$	$12$	[0,6]	$2^{12}\cdot 3^{6}\cdot 7^{10}\cdot 11^{6}$	$4$	$58.1480737089$	$58.14807370894779$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[3, 18, 36]$	$2$	$5$	$246.50546308257188$
12.0.149...976.4	$x^{12} + 121 x^{10} + 5324 x^{8} + 103818 x^{6} + 878460 x^{4} + 2576816 x^{2} + 1771561$	$12$	[0,6]	$2^{12}\cdot 3^{6}\cdot 7^{10}\cdot 11^{6}$	$4$	$58.1480737089$	$58.14807370894779$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[6, 504]$	$2$	$5$	$140.7987960054707$
12.0.170...625.1	$x^{12} - 56 x^{9} + 126 x^{8} + 840 x^{7} + 3836 x^{6} - 3528 x^{5} - 1911 x^{4} + 26264 x^{3} + 209916 x^{2} - 23520 x + 50176$	$12$	[0,6]	$3^{18}\cdot 5^{6}\cdot 7^{10}$	$3$	$58.8051349456$	$58.8051349456126$	✓	✓		$C_6\times C_2$ (as 12T2)	$[1554]$	$2$	$5$	$527982.4344714497$
12.0.178...064.3	$x^{12} - 2 x^{11} + 47 x^{10} - 96 x^{9} + 1107 x^{8} - 2310 x^{7} + 14855 x^{6} - 30618 x^{5} + 133099 x^{4} - 198676 x^{3} + 663283 x^{2} - 229794 x + 1573111$	$12$	[0,6]	$2^{18}\cdot 7^{10}\cdot 17^{6}$	$3$	$59.0225299012$	$59.02252990123237$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[2, 2, 430]$	$2$	$5$	$279.1500271937239$
12.0.215...000.1	$x^{12} - 4 x^{11} + 88 x^{10} - 276 x^{9} + 3259 x^{8} - 7972 x^{7} + 64062 x^{6} - 116656 x^{5} + 705880 x^{4} - 876724 x^{3} + 4423460 x^{2} - 2965388 x + 12267361$	$12$	[0,6]	$2^{18}\cdot 3^{6}\cdot 5^{9}\cdot 7^{8}$	$4$	$59.9420811718$	$59.94208117178477$	✓	✓	?	$C_{12}$ (as 12T1)	$[2, 962]$	$2$	$5$	$104.882003477$
12.0.217...625.1	$x^{12} - 4 x^{11} + 72 x^{10} - 271 x^{9} + 1842 x^{8} - 6065 x^{7} + 21398 x^{6} - 53808 x^{5} + 138141 x^{4} - 243719 x^{3} + 423590 x^{2} - 398017 x + 383161$	$12$	[0,6]	$5^{6}\cdot 139^{8}$	$2$	$60.001420981750954$	$136.56225171176348$	✓		?	$C_6\times S_3$ (as 12T18)	$[2, 18, 36]$	$2$	$5$	$382.5269845659838$
12.0.221...409.1	$x^{12} - 4 x^{11} + 65 x^{10} - 204 x^{9} + 1985 x^{8} - 4720 x^{7} + 35085 x^{6} - 60340 x^{5} + 379456 x^{4} - 412622 x^{3} + 2412291 x^{2} - 1175923 x + 7035133$	$12$	[0,6]	$3^{6}\cdot 7^{10}\cdot 47^{6}$	$3$	$60.0977099047$	$60.09770990472659$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[2, 930]$	$2$	$5$	$140.7987960054707$
12.0.231...853.1	$x^{12} - x^{11} + 105 x^{10} - 105 x^{9} + 4265 x^{8} - 4265 x^{7} + 84137 x^{6} - 84137 x^{5} + 829609 x^{4} - 829609 x^{3} + 3811497 x^{2} - 3811497 x + 7219369$	$12$	[0,6]	$3^{6}\cdot 11^{6}\cdot 13^{11}$	$3$	$60.3075533298$	$60.30755332982755$	✓	✓	?	$C_{12}$ (as 12T1)	$[2, 22, 44]$	$2$	$5$	$120.784031363$
12.0.233...104.2	$x^{12} - 4 x^{11} + 46 x^{10} - 136 x^{9} + 1016 x^{8} - 2364 x^{7} + 13958 x^{6} - 24876 x^{5} + 121251 x^{4} - 149724 x^{3} + 599732 x^{2} - 390180 x + 1308601$	$12$	[0,6]	$2^{24}\cdot 7^{8}\cdot 17^{6}$	$3$	$60.3508158354$	$60.350815835402166$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[3, 6, 84]$	$2$	$5$	$279.1500271937239$
12.0.242...049.4	$x^{12} - 4 x^{11} + 73 x^{10} - 228 x^{9} + 2405 x^{8} - 5806 x^{7} + 45212 x^{6} - 80635 x^{5} + 510913 x^{4} - 605817 x^{3} + 3299030 x^{2} - 1963242 x + 9579751$	$12$	[0,6]	$3^{6}\cdot 13^{10}\cdot 17^{6}$	$3$	$60.54401458$	$60.54401458004823$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[2, 6, 252]$	$2$	$5$	$120.78403136265631$
12.0.243...000.3	$x^{12} - 2 x^{11} + 13 x^{10} - 10 x^{9} + 294 x^{8} - 514 x^{7} + 4907 x^{6} - 8316 x^{5} + 50219 x^{4} - 58470 x^{3} + 274854 x^{2} - 156080 x + 680545$	$12$	[0,6]	$2^{18}\cdot 3^{6}\cdot 5^{6}\cdot 13^{8}$	$4$	$60.5646936164$	$60.5646936163668$	✓	✓		$C_6\times C_2$ (as 12T2)	$[2, 6, 156]$	$2$	$5$	$615.5445050404002$
12.0.254...576.1	$x^{12} - 2 x^{11} + 9 x^{10} - 14 x^{9} + 287 x^{8} - 366 x^{7} + 4117 x^{6} - 3108 x^{5} + 39521 x^{4} - 23428 x^{3} + 264195 x^{2} - 99100 x + 697801$	$12$	[0,6]	$2^{12}\cdot 3^{6}\cdot 7^{8}\cdot 23^{6}$	$4$	$60.7929522652$	$60.79295226517837$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[6, 234]$	$2$	$5$	$553.0667020684372$
12.0.291...000.4	$x^{12} - 6 x^{11} + 57 x^{10} - 230 x^{9} + 1374 x^{8} - 4182 x^{7} + 18835 x^{6} - 42768 x^{5} + 156027 x^{4} - 245226 x^{3} + 739656 x^{2} - 623538 x + 1615461$	$12$	[0,6]	$2^{12}\cdot 3^{18}\cdot 5^{6}\cdot 7^{6}$	$4$	$61.4817045958$	$61.48170459575759$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[6, 372]$	$2$	$5$	$325.67540279491664$
12.0.291...000.6	$x^{12} - 6 x^{11} + 93 x^{10} - 410 x^{9} + 3246 x^{8} - 10590 x^{7} + 52415 x^{6} - 121836 x^{5} + 417807 x^{4} - 644122 x^{3} + 1500732 x^{2} - 1197330 x + 2996281$	$12$	[0,6]	$2^{12}\cdot 3^{18}\cdot 5^{6}\cdot 7^{6}$	$4$	$61.4817045958$	$61.48170459575759$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[4, 868]$	$2$	$5$	$201.0008347866989$
12.0.332...184.1	$x^{12} - 2 x^{11} + 43 x^{10} + 20 x^{9} + 665 x^{8} + 1242 x^{7} + 6765 x^{6} + 9674 x^{5} + 43409 x^{4} + 24204 x^{3} + 94687 x^{2} + 858 x + 147537$	$12$	[0,6]	$2^{18}\cdot 103^{8}$	$2$	$62.14933365424415$	$134.55794548273334$	✓			$C_6\times S_3$ (as 12T18)	$[2, 10, 70]$	$2$	$5$	$671.1688363727869$
12.0.347...000.2	$x^{12} + 12 x^{10} + 331 x^{8} + 1504 x^{6} + 14224 x^{4} + 8960 x^{2} + 16384$	$12$	[0,6]	$2^{4}\cdot 3^{6}\cdot 5^{6}\cdot 2089^{4}$	$4$	$62.37852598281576$	$354.0338966822245$	✓			$C_2^2\times S_4$ (as 12T48)	$[4, 304]$	$2$	$5$	$41468.15090829505$
12.0.348...424.1	$x^{12} + 24 x^{10} - 4 x^{9} + 417 x^{8} + 36 x^{7} + 5034 x^{6} + 1164 x^{5} + 40692 x^{4} + 11468 x^{3} + 194268 x^{2} + 42156 x + 433313$	$12$	[0,6]	$2^{24}\cdot 3^{16}\cdot 13^{6}$	$3$	$62.4012573331$	$62.401257333111204$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[1638]$	$2$	$5$	$481.70037561485367$
12.0.362...768.1	$x^{12} - 6 x^{11} + 82 x^{10} - 312 x^{9} + 2218 x^{8} - 5484 x^{7} + 27652 x^{6} - 28112 x^{5} + 128672 x^{4} + 2360 x^{3} + 202096 x^{2} - 10624 x + 111080$	$12$	[0,6]	$2^{18}\cdot 3^{2}\cdot 37^{2}\cdot 257^{5}$	$4$	$62.59951349507278$	$477.71958301915987$	✓		?	$C_2^3:S_4$ (as 12T100)	$[2, 2, 2, 132]$	$2$	$5$	$660.7559899904364$
12.0.381...625.4	$x^{12} - 4 x^{11} + 79 x^{10} - 248 x^{9} + 2800 x^{8} - 6806 x^{7} + 56388 x^{6} - 101293 x^{5} + 679716 x^{4} - 811595 x^{3} + 4660873 x^{2} - 2792379 x + 14297009$	$12$	[0,6]	$5^{6}\cdot 11^{6}\cdot 13^{10}$	$3$	$62.8734760593$	$62.87347605930814$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[4, 4, 168]$	$2$	$5$	$120.78403136265631$
12.0.407...944.4	$x^{12} - 6 x^{11} + 61 x^{10} - 250 x^{9} + 1625 x^{8} - 5066 x^{7} + 24737 x^{6} - 57464 x^{5} + 230015 x^{4} - 369700 x^{3} + 1243465 x^{2} - 1067418 x + 3269113$	$12$	[0,6]	$2^{12}\cdot 3^{6}\cdot 7^{10}\cdot 13^{6}$	$4$	$63.2136206473$	$63.21362064733427$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[2, 4, 4, 56]$	$2$	$5$	$246.50546308257188$
12.0.407...944.5	$x^{12} - 2 x^{11} + 67 x^{10} - 106 x^{9} + 2172 x^{8} - 2860 x^{7} + 42260 x^{6} - 44478 x^{5} + 511259 x^{4} - 400386 x^{3} + 3655953 x^{2} - 1692824 x + 11827921$	$12$	[0,6]	$2^{12}\cdot 3^{6}\cdot 7^{10}\cdot 13^{6}$	$4$	$63.2136206473$	$63.21362064733427$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[2, 4, 4, 84]$	$2$	$5$	$140.7987960054707$
12.0.407...096.1	$x^{12} + 39 x^{10} + 897 x^{8} + 15371 x^{6} + 167745 x^{4} + 975759 x^{2} + 2289169$	$12$	[0,6]	$2^{12}\cdot 3^{18}\cdot 37^{6}$	$3$	$63.2139225171$	$63.21392251711643$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[2, 2, 2, 2, 104]$	$2$	$5$	$325.67540279491664$
12.0.425...144.4	$x^{12} - 18 x^{10} + 304 x^{8} + 136 x^{6} + 16464 x^{4} + 80832 x^{2} + 341056$	$12$	[0,6]	$2^{18}\cdot 7^{6}\cdot 13^{10}$	$3$	$63.4424783907$	$63.44247839072981$	✓	✓		$C_6\times C_2$ (as 12T2)	$[7, 168]$	$2$	$5$	$4543.270357084286$
12.0.425...144.5	$x^{12} - 2 x^{11} + 75 x^{10} - 122 x^{9} + 2619 x^{8} - 3418 x^{7} + 53384 x^{6} - 53204 x^{5} + 664294 x^{4} - 455716 x^{3} + 4767669 x^{2} - 1713202 x + 15418831$	$12$	[0,6]	$2^{18}\cdot 7^{6}\cdot 13^{10}$	$3$	$63.4424783907$	$63.44247839072981$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[3, 3, 3, 168]$	$2$	$5$	$120.78403136265631$
12.0.456...209.1	$x^{12} - x^{11} + 143 x^{10} - 103 x^{9} + 7396 x^{8} - 3276 x^{7} + 168806 x^{6} - 19929 x^{5} + 1664623 x^{4} + 755704 x^{3} + 5432804 x^{2} + 6541378 x + 12660103$	$12$	[0,6]	$3^{6}\cdot 7^{10}\cdot 53^{6}$	$3$	$63.8185494606$	$63.81854946060407$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[7, 840]$	$2$	$5$	$140.7987960054707$
12.0.459...133.1	$x^{12} - x^{11} + 118 x^{10} - 118 x^{9} + 5383 x^{8} - 5383 x^{7} + 119107 x^{6} - 119107 x^{5} + 1313209 x^{4} - 1313209 x^{3} + 6686668 x^{2} - 6686668 x + 13595401$	$12$	[0,6]	$13^{11}\cdot 37^{6}$	$2$	$63.8580425108$	$63.85804251081$	✓	✓	?	$C_{12}$ (as 12T1)	$[3650]$	$2$	$5$	$120.784031363$
12.0.461...717.1	$x^{12} - 6 x^{11} + 81 x^{10} - 339 x^{9} + 2340 x^{8} - 6972 x^{7} + 32022 x^{6} - 66453 x^{5} + 222861 x^{4} - 304709 x^{3} + 774483 x^{2} - 565143 x + 1083077$	$12$	[0,6]	$3^{16}\cdot 19^{2}\cdot 197^{5}$	$3$	$63.8726400669$	$264.71075487624125$	✓		?	$C_2^3.(C_2\times A_4)$ (as 12T104)	$[2, 2, 2, 254]$	$2$	$5$	$264.551165037$
12.0.461...717.2	$x^{12} + 78 x^{10} - 56 x^{9} + 2382 x^{8} - 3312 x^{7} + 37524 x^{6} - 73200 x^{5} + 326154 x^{4} - 749119 x^{3} + 1563774 x^{2} - 2934414 x + 4081249$	$12$	[0,6]	$3^{16}\cdot 19^{2}\cdot 197^{5}$	$3$	$63.8726400669$	$264.71075487624125$	✓		?	$C_2^3.(C_2\times A_4)$ (as 12T104)	$[2, 2, 508]$	$2$	$5$	$264.551165037$
12.0.468...104.3	$x^{12} - 4 x^{11} - 15 x^{10} + 64 x^{9} + 177 x^{8} - 584 x^{7} - 677 x^{6} + 1500 x^{5} + 2178 x^{4} - 1040 x^{3} + 18544 x^{2} - 5264 x + 33856$	$12$	[0,6]	$2^{6}\cdot 3^{6}\cdot 7^{6}\cdot 31^{8}$	$4$	$63.95371458651635$	$127.9074291730327$	✓			$C_2^2 \times A_4$ (as 12T25)	$[1554]$	$2$	$5$	$25646.03638896619$
12.0.531...784.5	$x^{12} - 2 x^{11} + 39 x^{10} - 64 x^{9} + 999 x^{8} - 1282 x^{7} + 17923 x^{6} - 16158 x^{5} + 209715 x^{4} - 125512 x^{3} + 1468591 x^{2} - 476098 x + 4495807$	$12$	[0,6]	$2^{18}\cdot 3^{6}\cdot 7^{8}\cdot 13^{6}$	$4$	$64.6362259354$	$64.63622593542183$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[4, 4, 152]$	$2$	$5$	$279.1500271937239$
12.0.549...864.1	$x^{12} + 51 x^{10} + 1285 x^{8} + 20259 x^{6} + 200769 x^{4} + 1128523 x^{2} + 2725801$	$12$	[0,6]	$2^{12}\cdot 7^{10}\cdot 41^{6}$	$3$	$64.8142187726$	$64.81421877263021$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[4, 4, 168]$	$2$	$5$	$246.50546308257188$
12.0.570...625.1	$x^{12} - x^{11} + 50 x^{10} - 36 x^{9} + 1184 x^{8} - 680 x^{7} + 12769 x^{6} - 1666 x^{5} + 71134 x^{4} - 119413 x^{3} + 143129 x^{2} - 513709 x + 435799$	$12$	[0,6]	$3^{6}\cdot 5^{6}\cdot 7^{10}\cdot 11^{6}$	$4$	$65.0115227869$	$65.01152278693779$	✓	✓		$C_6\times C_2$ (as 12T2)	$[3, 12, 36]$	$2$	$5$	$1378.5816793295$
12.0.570...625.7	$x^{12} - 4 x^{11} + 77 x^{10} - 244 x^{9} + 2733 x^{8} - 6608 x^{7} + 55665 x^{6} - 97524 x^{5} + 686488 x^{4} - 765750 x^{3} + 4908575 x^{2} - 2505239 x + 15923671$	$12$	[0,6]	$3^{6}\cdot 5^{6}\cdot 7^{10}\cdot 11^{6}$	$4$	$65.0115227869$	$65.01152278693779$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[6, 888]$	$2$	$5$	$140.7987960054707$
12.0.570...625.8	$x^{12} - 4 x^{11} + 113 x^{10} - 322 x^{9} + 5088 x^{8} - 9320 x^{7} + 115149 x^{6} - 104688 x^{5} + 1418605 x^{4} - 402906 x^{3} + 9700034 x^{2} - 2068070 x + 31120741$	$12$	[0,6]	$3^{6}\cdot 5^{6}\cdot 7^{10}\cdot 11^{6}$	$4$	$65.0115227869$	$65.01152278693779$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[2, 2, 1332]$	$2$	$5$	$104.88200347693757$