Number field search results

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

Results (1-50 of 1685 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
12.0.259...125.1	$x^{12} - x^{11} + 163 x^{10} - 164 x^{9} + 9854 x^{8} - 10018 x^{7} + 283912 x^{6} - 311604 x^{5} + 4213235 x^{4} - 4872746 x^{3} + 32079035 x^{2} - 27964467 x + 110528251$	$12$	[0,6]	$5^{9}\cdot 7^{10}\cdot 19^{6}$	$3$	$73.7653946747$	$73.76539467469073$	✓	✓	?	$C_{12}$ (as 12T1)	$[2, 4, 1636]$	$2$	$5$	$104.882003477$
12.0.288...125.1	$x^{12} - x^{11} + 128 x^{10} - 36 x^{9} + 6953 x^{8} + 1688 x^{7} + 205004 x^{6} + 100734 x^{5} + 3493011 x^{4} + 1447263 x^{3} + 32886288 x^{2} + 7087687 x + 134106701$	$12$	[0,6]	$5^{9}\cdot 7^{8}\cdot 37^{6}$	$3$	$74.4264078701$	$74.42640787006174$	✓	✓	?	$C_{12}$ (as 12T1)	$[37, 370]$	$2$	$5$	$104.882003477$
12.0.313...816.5	$x^{12} + 156 x^{10} + 9126 x^{8} + 246064 x^{6} + 2998905 x^{4} + 13366548 x^{2} + 4826809$	$12$	[0,6]	$2^{24}\cdot 3^{18}\cdot 13^{6}$	$3$	$74.9399759808$	$74.93997598078077$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[2, 5418]$	$2$	$5$	$325.67540279491664$
12.0.335...329.4	$x^{12} - 4 x^{11} + 115 x^{10} - 368 x^{9} + 5800 x^{8} - 14486 x^{7} + 163344 x^{6} - 302185 x^{5} + 2706834 x^{4} - 3326843 x^{3} + 25059307 x^{2} - 15437955 x + 101631179$	$12$	[0,6]	$13^{10}\cdot 79^{6}$	$2$	$75.3528482119$	$75.35284821191699$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[2, 2, 2, 6, 210]$	$2$	$5$	$120.784031363$
12.0.351...776.1	$x^{12} + 63 x^{10} + 2049 x^{8} + 44131 x^{6} + 604521 x^{4} + 4582623 x^{2} + 14417209$	$12$	[0,6]	$2^{12}\cdot 3^{18}\cdot 53^{6}$	$3$	$75.6571212775$	$75.65712127751095$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[2, 4, 1260]$	$2$	$5$	$325.67540279491664$
12.0.439...000.5	$x^{12} - 6 x^{11} + 141 x^{10} - 650 x^{9} + 7494 x^{8} - 26142 x^{7} + 185303 x^{6} - 467076 x^{5} + 2246907 x^{4} - 3744586 x^{3} + 12300264 x^{2} - 10501650 x + 32319541$	$12$	[0,6]	$2^{12}\cdot 3^{18}\cdot 5^{6}\cdot 11^{6}$	$4$	$77.071395472$	$77.07139547199077$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[2, 2, 2548]$	$2$	$5$	$201.0008347866989$
12.0.500...125.1	$x^{12} - 3 x^{11} + 99 x^{10} - 291 x^{9} + 4425 x^{8} - 12288 x^{7} + 111738 x^{6} - 258864 x^{5} + 1615344 x^{4} - 2617004 x^{3} + 12629298 x^{2} - 11707065 x + 44340281$	$12$	[0,6]	$3^{16}\cdot 5^{9}\cdot 29^{6}$	$3$	$77.9090977971$	$77.90909779705076$	✓	✓	?	$C_{12}$ (as 12T1)	$[2, 5378]$	$2$	$5$	$201.000834787$
12.0.534...125.1	$x^{12} - x^{11} + 143 x^{10} - 41 x^{9} + 8623 x^{8} + 2028 x^{7} + 280434 x^{6} + 136924 x^{5} + 5232016 x^{4} + 2217128 x^{3} + 53594968 x^{2} + 12100257 x + 236593391$	$12$	[0,6]	$5^{9}\cdot 7^{8}\cdot 41^{6}$	$3$	$78.3462339297$	$78.34623392974882$	✓	✓	?	$C_{12}$ (as 12T1)	$[2, 2, 2, 2, 2, 436]$	$2$	$5$	$104.882003477$
12.0.539...000.12	$x^{12} + 100 x^{10} + 3973 x^{8} + 79976 x^{6} + 865846 x^{4} + 5025864 x^{2} + 15816529$	$12$	[0,6]	$2^{24}\cdot 3^{6}\cdot 5^{6}\cdot 7^{10}$	$4$	$78.4068465942$	$78.40684659415014$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[2, 2, 10, 260]$	$2$	$5$	$279.1500271937239$
12.0.597...641.4	$x^{12} - 4 x^{11} + 127 x^{10} - 408 x^{9} + 7040 x^{8} - 17686 x^{7} + 217076 x^{6} - 404221 x^{5} + 3923740 x^{4} - 4854123 x^{3} + 39465521 x^{2} - 24466635 x + 173113225$	$12$	[0,6]	$3^{6}\cdot 13^{10}\cdot 29^{6}$	$3$	$79.0761930942$	$79.07619309419748$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[2, 6, 1314]$	$2$	$5$	$120.78403136265631$
12.0.614...213.1	$x^{12} - x^{11} + 183 x^{10} - 183 x^{9} + 12923 x^{8} - 12923 x^{7} + 440987 x^{6} - 440987 x^{5} + 7432699 x^{4} - 7432699 x^{3} + 56374683 x^{2} - 56374683 x + 154258651$	$12$	[0,6]	$3^{6}\cdot 13^{11}\cdot 19^{6}$	$3$	$79.2596531454$	$79.2596531453711$	✓	✓	?	$C_{12}$ (as 12T1)	$[2, 38, 190]$	$2$	$5$	$120.784031363$
12.0.640...616.6	$x^{12} - 2 x^{11} + 123 x^{10} - 202 x^{9} + 6739 x^{8} - 8858 x^{7} + 208872 x^{6} - 208260 x^{5} + 3847558 x^{4} - 2612324 x^{3} + 39868309 x^{2} - 13964626 x + 181540151$	$12$	[0,6]	$2^{18}\cdot 11^{6}\cdot 13^{10}$	$3$	$79.5293555038$	$79.52935550379262$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[3, 9, 468]$	$2$	$5$	$120.78403136265631$
12.0.816...125.1	$x^{12} - x^{11} + 198 x^{10} - 199 x^{9} + 14544 x^{8} - 14743 x^{7} + 508507 x^{6} - 554959 x^{5} + 9098780 x^{4} - 10507816 x^{3} + 82172540 x^{2} - 73475842 x + 324352981$	$12$	[0,6]	$5^{9}\cdot 7^{10}\cdot 23^{6}$	$3$	$81.1595794472$	$81.1595794471726$	✓	✓	?	$C_{12}$ (as 12T1)	$[5, 50, 50]$	$2$	$5$	$104.882003477$
12.0.817...000.1	$x^{12} - 4 x^{11} + 163 x^{10} - 526 x^{9} + 10934 x^{8} - 27772 x^{7} + 382237 x^{6} - 724306 x^{5} + 7349105 x^{4} - 9390924 x^{3} + 76289310 x^{2} - 50833538 x + 338937061$	$12$	[0,6]	$2^{12}\cdot 5^{9}\cdot 7^{8}\cdot 11^{6}$	$4$	$81.1619615822$	$81.16196158223093$	✓	✓	?	$C_{12}$ (as 12T1)	$[2, 2, 4034]$	$2$	$5$	$104.882003477$
12.0.836...000.1	$x^{12} + 195 x^{10} + 14625 x^{8} + 526500 x^{6} + 9213750 x^{4} + 69103125 x^{2} + 148078125$	$12$	[0,6]	$2^{12}\cdot 3^{6}\cdot 5^{6}\cdot 13^{11}$	$4$	$81.3186883209$	$81.31868832092874$	✓	✓	?	$C_{12}$ (as 12T1)	$[2, 2, 2, 2, 2, 436]$	$2$	$5$	$120.784031363$
12.0.877...712.1	$x^{12} - 4 x^{11} + 130 x^{10} - 416 x^{9} + 6567 x^{8} - 16420 x^{7} + 155274 x^{6} - 285164 x^{5} + 1713002 x^{4} - 2100652 x^{3} + 10909864 x^{2} - 7513800 x + 31017889$	$12$	[0,6]	$2^{33}\cdot 7^{8}\cdot 11^{6}$	$3$	$81.6446109697$	$81.64461096971144$	✓	✓	?	$C_{12}$ (as 12T1)	$[3, 4710]$	$2$	$5$	$279.150027194$
12.0.923...357.1	$x^{12} - x^{11} + 196 x^{10} - 196 x^{9} + 14821 x^{8} - 14821 x^{7} + 541321 x^{6} - 541321 x^{5} + 9755071 x^{4} - 9755071 x^{3} + 78858196 x^{2} - 78858196 x + 226936321$	$12$	[0,6]	$13^{11}\cdot 61^{6}$	$2$	$81.9935437788$	$81.99354377880589$	✓	✓	?	$C_{12}$ (as 12T1)	$[52, 260]$	$2$	$5$	$120.784031363$
12.0.956...464.15	$x^{12} + 242 x^{10} + 21296 x^{8} + 830544 x^{6} + 14055360 x^{4} + 82458112 x^{2} + 113379904$	$12$	[0,6]	$2^{18}\cdot 3^{6}\cdot 7^{10}\cdot 11^{6}$	$4$	$82.2337944651$	$82.23379446506436$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[52, 312]$	$2$	$5$	$140.7987960054707$
12.0.956...464.16	$x^{12} - 2 x^{11} + 121 x^{10} - 196 x^{9} + 6618 x^{8} - 8728 x^{7} + 207374 x^{6} - 214002 x^{5} + 3900776 x^{4} - 2880444 x^{3} + 41712696 x^{2} - 17138192 x + 196996801$	$12$	[0,6]	$2^{18}\cdot 3^{6}\cdot 7^{10}\cdot 11^{6}$	$4$	$82.2337944651$	$82.23379446506436$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[2, 6076]$	$2$	$5$	$140.7987960054707$
12.0.105...000.1	$x^{12} + 210 x^{10} + 16380 x^{8} + 604800 x^{6} + 11113200 x^{4} + 95256000 x^{2} + 285768000$	$12$	[0,6]	$2^{18}\cdot 3^{6}\cdot 5^{9}\cdot 7^{10}$	$4$	$82.9051464456$	$82.90514644564702$	✓	✓	?	$C_{12}$ (as 12T1)	$[2, 2, 3970]$	$2$	$5$	$104.882003477$
12.0.112...125.1	$x^{12} + 168 x^{10} - x^{9} + 9774 x^{8} - 1701 x^{7} + 257648 x^{6} - 137187 x^{5} + 3288795 x^{4} - 3206849 x^{3} + 21932874 x^{2} - 17829192 x + 76909321$	$12$	[0,6]	$3^{18}\cdot 5^{9}\cdot 23^{6}$	$3$	$83.3246126312$	$83.32461263118387$	✓	✓	?	$C_{12}$ (as 12T1)	$[2, 8770]$	$2$	$5$	$201.000834787$
12.0.114...096.2	$x^{12} + 204 x^{10} + 15317 x^{8} + 510952 x^{6} + 7182806 x^{4} + 34076568 x^{2} + 24137569$	$12$	[0,6]	$2^{24}\cdot 7^{10}\cdot 17^{6}$	$3$	$83.4704622719$	$83.47046227189435$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[4, 3612]$	$2$	$5$	$246.50546308257188$
12.0.119...000.5	$x^{12} + 81 x^{10} + 3228 x^{8} + 81283 x^{6} + 1286037 x^{4} + 11367462 x^{2} + 42211009$	$12$	[0,6]	$2^{12}\cdot 3^{18}\cdot 5^{6}\cdot 13^{6}$	$4$	$83.7854402626$	$83.78544026261365$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[6, 3192]$	$2$	$5$	$325.67540279491664$
12.0.121...096.2	$x^{12} - 6 x^{11} + 63 x^{10} - 260 x^{9} + 1995 x^{8} - 6486 x^{7} + 39033 x^{6} - 95424 x^{5} + 490488 x^{4} - 829016 x^{3} + 3879852 x^{2} - 3480240 x + 14609528$	$12$	[0,6]	$2^{18}\cdot 3^{16}\cdot 47^{6}$	$3$	$83.8987702962$	$83.89877029615896$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[3, 3660]$	$2$	$5$	$481.70037561485367$
12.0.124...224.6	$x^{12} + 253 x^{10} + 23276 x^{8} + 949026 x^{6} + 16790460 x^{4} + 102981488 x^{2} + 148035889$	$12$	[0,6]	$2^{12}\cdot 3^{6}\cdot 7^{10}\cdot 23^{6}$	$4$	$84.0819756652$	$84.08197566520651$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[4, 4368]$	$2$	$5$	$140.7987960054707$
12.0.124...504.6	$x^{12} - 4 x^{11} + 94 x^{10} - 296 x^{9} + 3960 x^{8} - 9788 x^{7} + 95942 x^{6} - 178764 x^{5} + 1398035 x^{4} - 1774428 x^{3} + 11439684 x^{2} - 7514692 x + 40657609$	$12$	[0,6]	$2^{24}\cdot 3^{6}\cdot 7^{8}\cdot 11^{6}$	$4$	$84.0844435762$	$84.08444357624512$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[3, 6, 936]$	$2$	$5$	$279.1500271937239$
12.0.143...536.1	$x^{12} - 6 x^{11} + 105 x^{10} - 470 x^{9} + 4686 x^{8} - 15990 x^{7} + 115139 x^{6} - 291360 x^{5} + 1651035 x^{4} - 2834218 x^{3} + 13126680 x^{2} - 11755602 x + 45581077$	$12$	[0,6]	$2^{12}\cdot 3^{18}\cdot 67^{6}$	$3$	$85.0646812725$	$85.06468127254695$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[10062]$	$2$	$5$	$325.67540279491664$
12.0.156...056.5	$x^{12} + 204 x^{10} + 15606 x^{8} + 550256 x^{6} + 8769705 x^{4} + 51114852 x^{2} + 24137569$	$12$	[0,6]	$2^{24}\cdot 3^{18}\cdot 17^{6}$	$3$	$85.6971411425$	$85.6971411425142$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[2, 4, 4, 364]$	$2$	$5$	$325.67540279491664$
12.0.160...008.1	$x^{12} - 2 x^{11} + 236 x^{10} - 235 x^{9} + 17355 x^{8} + 3606 x^{7} + 526541 x^{6} + 764610 x^{5} + 7985835 x^{4} + 12614627 x^{3} + 52558187 x^{2} + 49019641 x + 91733851$	$12$	[0,6]	$2^{8}\cdot 13^{6}\cdot 37^{9}$	$3$	$85.8637067241$	$85.86370672411026$	✓	✓	?	$C_3 : C_4$ (as 12T5)	$[2, 2, 2, 16, 80]$	$2$	$5$	$220.342128705$
12.0.186...000.14	$x^{12} - 6 x^{11} + 177 x^{10} - 830 x^{9} + 11814 x^{8} - 42342 x^{7} + 367625 x^{6} - 958098 x^{5} + 5597562 x^{4} - 9646066 x^{3} + 38478141 x^{2} - 33807978 x + 119894041$	$12$	[0,6]	$2^{18}\cdot 3^{18}\cdot 5^{6}\cdot 7^{6}$	$4$	$86.9482604771$	$86.94826047713663$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[4, 3484]$	$2$	$5$	$201.0008347866989$
12.0.193...997.1	$x^{12} - x^{11} + 222 x^{10} - 222 x^{9} + 19007 x^{8} - 19007 x^{7} + 785435 x^{6} - 785435 x^{5} + 15986257 x^{4} - 15986257 x^{3} + 145193244 x^{2} - 145193244 x + 458981641$	$12$	[0,6]	$3^{6}\cdot 13^{11}\cdot 23^{6}$	$3$	$87.2045780379$	$87.20457803792073$	✓	✓	?	$C_{12}$ (as 12T1)	$[2, 2, 2, 2692]$	$2$	$5$	$120.784031363$
12.0.193...921.2	$x^{12} - 6 x^{11} - 9 x^{10} + 72 x^{9} + 204 x^{8} - 600 x^{7} + 832 x^{6} + 1203 x^{5} + 10530 x^{4} - 10089 x^{3} + 41817 x^{2} - 14205 x + 157375$	$12$	[0,6]	$3^{18}\cdot 7^{10}\cdot 11^{6}$	$3$	$87.2221105634$	$87.2221105634217$	✓	✓		$C_6\times C_2$ (as 12T2)	$[6, 24, 72]$	$2$	$5$	$5471.6045925579565$
12.0.203...424.1	$x^{12} - 6 x^{11} + 111 x^{10} - 500 x^{9} + 5235 x^{8} - 18006 x^{7} + 135691 x^{6} - 346086 x^{5} + 2048187 x^{4} - 3539604 x^{3} + 17104653 x^{2} - 15389676 x + 62195361$	$12$	[0,6]	$2^{12}\cdot 3^{18}\cdot 71^{6}$	$3$	$87.567117116$	$87.56711711595854$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[2, 2, 2, 2, 10, 210]$	$2$	$5$	$325.67540279491664$
12.0.208...056.1	$x^{12} - 2 x^{11} - 49 x^{10} + 50 x^{9} + 975 x^{8} - 318 x^{7} - 5152 x^{6} + 9584 x^{5} + 18694 x^{4} - 34388 x^{3} + 140349 x^{2} - 100962 x + 250587$	$12$	[0,6]	$2^{18}\cdot 7^{8}\cdot 13^{10}$	$3$	$87.7465022742$	$87.74650227416592$	✓	✓		$C_6\times C_2$ (as 12T2)	$[3, 4221]$	$2$	$5$	$17569.03784509895$
12.0.213...000.1	$x^{12} - 6 x^{11} - 3 x^{10} + 50 x^{9} + 277 x^{8} - 770 x^{7} - 61 x^{6} - 5858 x^{5} + 22010 x^{4} + 24216 x^{3} + 216144 x^{2} + 117248 x + 434176$	$12$	[0,6]	$2^{12}\cdot 3^{6}\cdot 5^{6}\cdot 7^{6}\cdot 79^{4}$	$5$	$87.9360612006532$	$182.1537811850196$	✓			$S_3 \times C_2^2$ (as 12T10)	$[2, 6052]$	$2$	$5$	$17607.936327827323$
12.0.215...125.1	$x^{12} - 3 x^{11} + 129 x^{10} - 381 x^{9} + 7305 x^{8} - 20358 x^{7} + 228508 x^{6} - 535884 x^{5} + 4054374 x^{4} - 6735844 x^{3} + 38602548 x^{2} - 36067335 x + 160801651$	$12$	[0,6]	$3^{16}\cdot 5^{9}\cdot 37^{6}$	$3$	$88.001492586$	$88.00149258596375$	✓	✓	?	$C_{12}$ (as 12T1)	$[2, 14, 910]$	$2$	$5$	$201.000834787$
12.0.222...704.4	$x^{12} + 228 x^{10} + 19133 x^{8} + 713336 x^{6} + 11207606 x^{4} + 59426376 x^{2} + 47045881$	$12$	[0,6]	$2^{24}\cdot 7^{10}\cdot 19^{6}$	$3$	$88.2439944185$	$88.24399441848087$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[2, 8190]$	$2$	$5$	$246.50546308257188$
12.0.222...704.6	$x^{12} + 128 x^{10} + 6493 x^{8} + 166076 x^{6} + 2261086 x^{4} + 16095776 x^{2} + 58232161$	$12$	[0,6]	$2^{24}\cdot 7^{10}\cdot 19^{6}$	$3$	$88.2439944185$	$88.24399441848087$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[2, 2, 4030]$	$2$	$5$	$279.1500271937239$
12.0.239...328.1	$x^{12} - 4 x^{11} + 154 x^{10} - 496 x^{9} + 9167 x^{8} - 23140 x^{7} + 254842 x^{6} - 473884 x^{5} + 3306578 x^{4} - 4102284 x^{3} + 23868696 x^{2} - 16329464 x + 75924577$	$12$	[0,6]	$2^{33}\cdot 7^{8}\cdot 13^{6}$	$3$	$88.7570496586$	$88.757049658626$	✓	✓	?	$C_{12}$ (as 12T1)	$[2, 34, 170]$	$2$	$5$	$279.150027194$
12.0.240...816.1	$x^{12} + 93 x^{10} + 4164 x^{8} + 115271 x^{6} + 1988841 x^{4} + 19219578 x^{2} + 78446449$	$12$	[0,6]	$2^{12}\cdot 3^{18}\cdot 73^{6}$	$3$	$88.7918915217$	$88.79189152169245$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[2, 2, 2, 2, 2, 364]$	$2$	$5$	$325.67540279491664$
12.0.246...625.2	$x^{12} - x^{11} + 62 x^{10} - 226 x^{9} + 577 x^{8} - 2377 x^{7} - 3136 x^{6} + 12956 x^{5} + 79168 x^{4} + 61904 x^{3} + 194304 x^{2} + 378688 x + 235264$	$12$	[0,6]	$3^{6}\cdot 5^{6}\cdot 43^{10}$	$3$	$88.975275725$	$88.97527572500881$	✓	✓		$C_6\times C_2$ (as 12T2)	$[16226]$	$2$	$5$	$589381.2229376945$
12.0.249...125.1	$x^{12} - x^{11} + 188 x^{10} - 56 x^{9} + 14713 x^{8} + 3228 x^{7} + 612804 x^{6} + 294994 x^{5} + 14417911 x^{4} + 6384683 x^{3} + 183583288 x^{2} + 45546027 x + 995262101$	$12$	[0,6]	$5^{9}\cdot 7^{8}\cdot 53^{6}$	$3$	$89.0767024456$	$89.07670244557409$	✓	✓	?	$C_{12}$ (as 12T1)	$[19330]$	$2$	$5$	$104.882003477$
12.0.260...416.8	$x^{12} - 6 x^{11} + 81 x^{10} - 350 x^{9} + 2868 x^{8} - 9438 x^{7} + 52261 x^{6} - 125154 x^{5} + 550392 x^{4} - 902538 x^{3} + 2888181 x^{2} - 2456298 x + 13749723$	$12$	[0,6]	$2^{18}\cdot 3^{6}\cdot 7^{10}\cdot 13^{6}$	$4$	$89.3975596462$	$89.39755964616802$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[2, 2, 6, 6, 84]$	$2$	$5$	$562.7753300008496$
12.0.260...416.12	$x^{12} + 286 x^{10} + 29744 x^{8} + 1370928 x^{6} + 27418560 x^{4} + 190102016 x^{2} + 308915776$	$12$	[0,6]	$2^{18}\cdot 3^{6}\cdot 7^{10}\cdot 13^{6}$	$4$	$89.3975596462$	$89.39755964616802$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[2, 4, 4, 684]$	$2$	$5$	$140.7987960054707$
12.0.260...416.13	$x^{12} - 2 x^{11} + 145 x^{10} - 236 x^{9} + 9374 x^{8} - 12376 x^{7} + 343470 x^{6} - 352786 x^{5} + 7487488 x^{4} - 5450860 x^{3} + 91961560 x^{2} - 36698912 x + 495287521$	$12$	[0,6]	$2^{18}\cdot 3^{6}\cdot 7^{10}\cdot 13^{6}$	$4$	$89.3975596462$	$89.39755964616802$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[6, 12, 12, 36]$	$2$	$5$	$140.7987960054707$
12.0.260...144.3	$x^{12} + 96 x^{10} - 56 x^{9} + 3786 x^{8} - 4536 x^{7} + 74498 x^{6} - 130200 x^{5} + 924369 x^{4} - 1441552 x^{3} + 6626874 x^{2} - 2382072 x + 20331721$	$12$	[0,6]	$2^{18}\cdot 3^{18}\cdot 37^{6}$	$3$	$89.3979865545$	$89.39798655450804$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[4, 4, 1008]$	$2$	$5$	$481.70037561485367$
12.0.271...693.1	$x^{12} - x^{11} + 235 x^{10} - 235 x^{9} + 21295 x^{8} - 21295 x^{7} + 931087 x^{6} - 931087 x^{5} + 20036719 x^{4} - 20036719 x^{3} + 191987407 x^{2} - 191987407 x + 634146319$	$12$	[0,6]	$13^{11}\cdot 73^{6}$	$2$	$89.6966389306$	$89.69663893064349$	✓	✓	?	$C_{12}$ (as 12T1)	$[2, 2, 5986]$	$2$	$5$	$120.784031363$
12.0.286...000.5	$x^{12} - 6 x^{11} + 123 x^{10} - 560 x^{9} + 4758 x^{8} - 15738 x^{7} + 53621 x^{6} - 108066 x^{5} + 285141 x^{4} - 407446 x^{3} + 715986 x^{2} - 527814 x + 1184689$	$12$	[0,6]	$2^{12}\cdot 3^{6}\cdot 5^{6}\cdot 19^{10}$	$4$	$90.0956091558$	$90.09560915576448$	✓	✓		$C_6\times C_2$ (as 12T2)	$[2, 14, 392]$	$2$	$5$	$1234.5516326116856$
12.0.293...001.2	$x^{12} - 6 x^{11} - 9 x^{10} + 72 x^{9} + 267 x^{8} - 1902 x^{7} + 5473 x^{6} - 23556 x^{5} + 63324 x^{4} - 74832 x^{3} + 243648 x^{2} - 117504 x + 18432$	$12$	[0,6]	$3^{16}\cdot 7^{10}\cdot 17^{6}$	$3$	$90.2889287588$	$90.28892875875027$	✓	✓		$C_6\times C_2$ (as 12T2)	$[3, 3, 1365]$	$2$	$5$	$1065625.9379812907$
12.0.305...744.6	$x^{12} + 228 x^{10} + 19494 x^{8} + 768208 x^{6} + 13683705 x^{4} + 89139564 x^{2} + 47045881$	$12$	[0,6]	$2^{24}\cdot 3^{18}\cdot 19^{6}$	$3$	$90.5980132232$	$90.598013223249$	✓	✓	?	$C_6\times C_2$ (as 12T2)	$[2, 4, 8, 504]$	$2$	$5$	$325.67540279491664$