Number field search results

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

Results (1-50 of 189 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
15.1.169...648.1	$x^{15} - 7 x^{14} - 4 x^{13} + 88 x^{12} + 69 x^{11} - 795 x^{10} - 43 x^{9} + 2605 x^{8} - 947 x^{7} + 1079 x^{6} - 3045 x^{5} - 32355 x^{4} + 84114 x^{3} - 75924 x^{2} + 38151 x - 14445$	$15$	[1,7]	$-\,2^{10}\cdot 3^{7}\cdot 31^{14}$	$3$	$65.35530266190847$	$67.79300299068905$				$D_{15}$ (as 15T2)	$[15]$	$2$	$7$	$178292187.56825617$
15.1.147...891.1	$x^{15} - 2 x^{14} + 6 x^{13} + 42 x^{12} - 85 x^{11} + 802 x^{10} - 1401 x^{9} + 1528 x^{8} + 15939 x^{7} - 58974 x^{6} + 111751 x^{5} - 151524 x^{4} + 108650 x^{3} - 287160 x^{2} + 27369 x - 26318$	$15$	[1,7]	$-\,11^{7}\cdot 31^{14}$	$2$	$75.4954597102552$	$81.77751765883608$				$D_{15}$ (as 15T2)	$[15]$	$2$	$7$	$149763588.19498524$
15.1.229...392.1	$x^{15} - 12 x^{13} - 32 x^{12} + 117 x^{11} - 168 x^{10} + 54 x^{9} + 1080 x^{8} + 10704 x^{7} - 1280 x^{6} + 26208 x^{5} - 39552 x^{4} + 57600 x^{3} - 46080 x^{2} + 73728 x - 32768$	$15$	[1,7]	$-\,2^{21}\cdot 3^{20}\cdot 11^{12}$	$3$	$77.7531182149328$	$83.33372873221225$				$D_{15}$ (as 15T2)	$[15]$	$2$	$7$	$2334085695.838196$
15.1.254...391.1	$x^{15} - 6 x^{14} + 21 x^{13} - 36 x^{12} - 69 x^{11} + 792 x^{10} + 867 x^{9} - 369 x^{8} - 378 x^{7} + 1647 x^{6} - 8829 x^{5} - 18225 x^{4} + 57105 x^{3} + 67797 x^{2} + 59049$	$15$	[1,7]	$-\,3^{17}\cdot 11^{12}\cdot 13^{7}$	$3$	$78.28738760739382$	$88.45599827588869$			?	$D_{15}$ (as 15T2)	$[5, 5]$	$2$	$7$	$40501646.075859115$
15.5.282...731.1	$x^{15} - 5 x^{14} - 23 x^{13} - 164 x^{12} + 654 x^{11} + 2155 x^{10} + 7876 x^{9} - 2893 x^{8} - 35937 x^{7} - 601975 x^{6} - 709885 x^{5} + 3344264 x^{4} + 11561561 x^{3} - 1175603 x^{2} - 34755534 x - 26797639$	$15$	[5,5]	$-\,11^{13}\cdot 31^{10}$	$2$	$78.84632509790313$	$85.40721213930478$			?	$S_3 \times C_5$ (as 15T4)	$[33]$	$2$	$9$	$5451902.787610642$
15.1.129...375.1	$x^{15} - 6 x^{14} + 23 x^{13} - 75 x^{12} + 276 x^{11} - 879 x^{10} + 2291 x^{9} - 6264 x^{8} + 22141 x^{7} - 84234 x^{6} + 278280 x^{5} - 716823 x^{4} + 1472553 x^{3} - 2479734 x^{2} + 2820960 x - 1400085$	$15$	[1,7]	$-\,3^{7}\cdot 5^{7}\cdot 31^{14}$	$3$	$87.25295988587214$	$95.49556673033128$				$D_{15}$ (as 15T2)	$[15]$	$2$	$7$	$2089520404.285836$
15.1.161...344.1	$x^{15} - 5 x^{14} + 32 x^{13} - 114 x^{12} + 663 x^{11} - 2731 x^{10} + 8112 x^{9} - 33750 x^{8} + 94088 x^{7} - 228088 x^{6} + 628192 x^{5} - 1201728 x^{4} + 1998336 x^{3} - 3442688 x^{2} + 4227072 x - 2359296$	$15$	[1,7]	$-\,2^{14}\cdot 61^{14}$	$2$	$88.56643736668686$	$92.7551093332923$				$D_{15}$ (as 15T2)	$[15]$	$2$	$7$	$12852382254.674627$
15.1.361...263.1	$x^{15} - 5 x^{14} - 51 x^{13} + 422 x^{12} + 1592 x^{11} - 11720 x^{10} - 52163 x^{9} - 3237 x^{8} + 604478 x^{7} + 3107442 x^{6} + 6295658 x^{5} + 14311816 x^{4} + 124483337 x^{3} + 506595632 x^{2} + 872694470 x + 560268775$	$15$	[1,7]	$-\,47^{7}\cdot 61^{10}$	$2$	$93.43986960460069$	$106.23529274188465$			?	$D_{15}$ (as 15T2)	$[12]$	$2$	$7$	$61664600.86830997$
15.1.620...991.1	$x^{15} - 69 x^{13} - 6 x^{12} + 2093 x^{11} - 169 x^{10} - 41087 x^{9} - 30872 x^{8} + 426729 x^{7} + 1102147 x^{6} + 1189321 x^{5} + 1550647 x^{4} - 4378012 x^{3} - 27822775 x^{2} - 42612600 x - 22424625$	$15$	[1,7]	$-\,31^{7}\cdot 41^{12}$	$2$	$96.87146681841033$	$108.61953326078894$				$D_{15}$ (as 15T2)	$[5, 5]$	$2$	$7$	$73381733.28136963$
15.1.792...931.1	$x^{15} - x^{14} + 4 x^{13} + 3 x^{12} + 208 x^{11} + 267 x^{10} - 1834 x^{9} - 3431 x^{8} + 35716 x^{7} - 38227 x^{6} - 32180 x^{5} + 443317 x^{4} - 89003 x^{3} - 1120568 x^{2} + 1768692 x + 1050048$	$15$	[1,7]	$-\,7^{10}\cdot 11^{12}\cdot 19^{7}$	$3$	$98.4610633957177$	$108.61495883672202$				$D_{15}$ (as 15T2)	$[15]$	$2$	$7$	$1865161985.9356034$
15.1.125...263.1	$x^{15} - 3 x^{14} - 45 x^{13} + 113 x^{12} + 957 x^{11} + 681 x^{10} + 1369 x^{9} + 4287 x^{8} - 15198 x^{7} + 28184 x^{6} - 12297 x^{5} - 232584 x^{4} + 493459 x^{3} - 274338 x^{2} - 318558 x - 216217$	$15$	[1,7]	$-\,3^{7}\cdot 11^{12}\cdot 109^{7}$	$3$	$101.52424442855494$	$123.13684571131245$				$D_{15}$ (as 15T2)	$[5, 5]$	$2$	$7$	$1129250012.9982576$
15.1.347...104.1	$x^{15} - x^{14} - 14 x^{13} + 106 x^{12} - 232 x^{11} + 988 x^{10} - 3878 x^{9} + 2738 x^{8} + 42955 x^{7} - 131247 x^{6} + 38436 x^{5} + 409140 x^{4} - 744660 x^{3} + 692388 x^{2} - 132192 x + 46656$	$15$	[1,7]	$-\,2^{21}\cdot 3^{7}\cdot 31^{14}$	$3$	$108.65160857291986$	$120.79339892657812$				$D_{15}$ (as 15T2)	$[15]$	$2$	$7$	$359524500811.2065$
15.1.406...296.1	$x^{15} - 2 x^{14} - 23 x^{13} + 40 x^{12} + 271 x^{11} - 362 x^{10} + 815 x^{9} + 10076 x^{8} - 10840 x^{7} - 64768 x^{6} + 21392 x^{5} + 92864 x^{4} + 48000 x^{3} - 339456 x^{2} + 331776 x - 147456$	$15$	[1,7]	$-\,2^{21}\cdot 3^{7}\cdot 7^{10}\cdot 11^{12}$	$4$	$109.80229587200682$	$122.07267524640429$				$D_{15}$ (as 15T2)	$[15]$	$2$	$7$	$387983860119.02954$
15.1.161...875.1	$x^{15} - 3 x^{14} - 2 x^{13} + 10 x^{12} + 211 x^{11} - 1685 x^{10} + 3455 x^{9} + 5905 x^{8} - 11194 x^{7} - 90100 x^{6} + 122567 x^{5} + 803081 x^{4} - 2013894 x^{3} - 851560 x^{2} + 6612840 x - 5229360$	$15$	[1,7]	$-\,3^{7}\cdot 5^{10}\cdot 31^{14}$	$3$	$120.38549680482335$	$124.87577920256018$				$D_{15}$ (as 15T2)	$[30]$	$2$	$7$	$31092687625.988747$
15.1.221...208.1	$x^{15} - 6 x^{14} + 29 x^{13} - 156 x^{12} + 480 x^{11} - 3936 x^{10} + 25133 x^{9} - 97116 x^{8} + 333940 x^{7} - 708660 x^{6} + 1024725 x^{5} - 1078056 x^{4} + 593811 x^{3} - 18630 x^{2} - 55404 x - 17496$	$15$	[1,7]	$-\,2^{10}\cdot 3^{7}\cdot 61^{14}$	$3$	$122.92807910684371$	$127.51319778352261$				$D_{15}$ (as 15T2)	$[15]$	$2$	$7$	$25672946617.331356$
15.1.403...192.1	$x^{15} - 2 x^{14} - 22 x^{13} + 68 x^{12} + 413 x^{11} - 450 x^{10} - 652 x^{9} - 4616 x^{8} + 132244 x^{7} - 235016 x^{6} + 907904 x^{5} - 1886720 x^{4} + 3758400 x^{3} - 5200000 x^{2} + 6720000 x - 3200000$	$15$	[1,7]	$-\,2^{21}\cdot 11^{12}\cdot 19^{10}$	$3$	$127.955377577833$	$137.13917807673286$				$D_{15}$ (as 15T2)	$[15]$	$2$	$7$	$103999637383.03754$
15.1.561...339.1	$x^{15} - 2 x^{14} - 54 x^{13} + 394 x^{12} - 318 x^{11} - 9254 x^{10} + 55032 x^{9} - 116238 x^{8} - 227490 x^{7} + 2744462 x^{6} - 11948618 x^{5} + 33661942 x^{4} - 62825465 x^{3} + 70722856 x^{2} - 40493608 x + 9980024$	$15$	[1,7]	$-\,41^{12}\cdot 59^{7}$	$2$	$130.805104111307$	$149.84873850112194$				$D_{15}$ (as 15T2)	$[2, 10]$	$2$	$7$	$3616799980.743916$
15.1.134...000.1	$x^{15} - 5 x^{14} + 20 x^{13} - 30 x^{12} + 50 x^{11} - 1250 x^{10} + 4780 x^{9} + 12600 x^{8} - 99155 x^{7} + 212495 x^{6} + 381824 x^{5} - 2335290 x^{4} + 4866240 x^{3} - 3446920 x^{2} - 1539360 x + 2933568$	$15$	[1,7]	$-\,2^{14}\cdot 5^{24}\cdot 13^{10}$	$3$	$138.65713991886838$	$145.21480772414816$				$D_{15}$ (as 15T2)	$[15]$	$2$	$7$	$405449270685.492$
15.1.145...000.1	$x^{15} - 3 x^{14} + 56 x^{13} - 40 x^{12} + 1313 x^{11} + 1645 x^{10} + 23526 x^{9} + 60814 x^{8} + 448956 x^{7} + 1131964 x^{6} + 5118440 x^{5} + 10233032 x^{4} + 27247040 x^{3} + 38644224 x^{2} + 50848768 x + 46155264$	$15$	[1,7]	$-\,2^{21}\cdot 5^{7}\cdot 7^{10}\cdot 11^{12}$	$4$	$139.36086632361796$	$157.59514608543674$				$D_{15}$ (as 15T2)	$[15]$	$2$	$7$	$1496162404931.6238$
15.3.227...441.1	$x^{15} - 3 x^{14} - 81 x^{13} + 482 x^{12} + 1855 x^{11} - 20398 x^{10} - 17885 x^{9} + 216818 x^{8} - 344645 x^{7} - 1939966 x^{6} - 1313053 x^{5} + 4806214 x^{4} - 16258641 x^{3} - 76618654 x^{2} - 46619874 x + 86089913$	$15$	[3,6]	$7^{12}\cdot 71^{12}$	$2$	$143.577078138$	$153.19868787917656$				$(C_5^2 : C_3):C_2$ (as 15T12)	$[5, 5]$	$2$	$8$	$1666688074.98$
15.1.498...632.1	$x^{15} - 2 x^{14} - 12 x^{13} - 5 x^{12} + 394 x^{11} + 474 x^{10} - 5259 x^{9} - 7650 x^{8} + 59730 x^{7} + 31649 x^{6} - 144742 x^{5} + 43380 x^{4} - 1280488 x^{3} - 1904752 x^{2} + 7080480 x + 5430300$	$15$	[1,7]	$-\,2^{10}\cdot 3^{7}\cdot 7^{10}\cdot 31^{12}$	$4$	$151.29734177047357$	$156.9406111725824$				$D_{15}$ (as 15T2)	$[15]$	$2$	$7$	$104704795280.24423$
15.1.612...787.1	$x^{15} - x^{14} + 17 x^{13} + 103 x^{12} - 709 x^{11} - 855 x^{10} - 10199 x^{9} - 201819 x^{8} - 606597 x^{7} - 1199139 x^{6} - 7447927 x^{5} - 15392597 x^{4} - 15405958 x^{3} - 93462864 x^{2} + 15927672 x - 19034128$	$15$	[1,7]	$-\,41^{12}\cdot 83^{7}$	$2$	$153.38993443732002$	$177.7322060855116$				$D_{15}$ (as 15T2)	$[5, 5]$	$2$	$7$	$12620048295.521133$
15.1.704...875.1	$x^{15} + 9 x^{13} - 137 x^{12} + 171 x^{11} - 729 x^{10} + 6821 x^{9} - 18729 x^{8} + 68841 x^{7} + 73741 x^{6} + 1162125 x^{5} - 113439 x^{4} + 6042802 x^{3} - 2166687 x^{2} + 1882230 x + 1784980$	$15$	[1,7]	$-\,3^{20}\cdot 5^{7}\cdot 7^{7}\cdot 11^{12}$	$4$	$154.82493574770714$	$174.30499923069038$				$D_{15}$ (as 15T2)	$[15]$	$2$	$7$	$213844962215.18634$
15.1.851...423.1	$x^{15} - 2 x^{14} - 59 x^{13} + 344 x^{12} + 1667 x^{11} - 14896 x^{10} - 40711 x^{9} + 166400 x^{8} + 457019 x^{7} + 911932 x^{6} + 1434361 x^{5} - 5549438 x^{4} + 4984113 x^{3} + 21841188 x^{2} - 39511692 x + 20220840$	$15$	[1,7]	$-\,3^{7}\cdot 29^{7}\cdot 41^{12}$	$3$	$156.7963937699331$	$181.96451812087878$				$D_{15}$ (as 15T2)	$[5, 5]$	$2$	$7$	$53629514066.69013$
15.1.115...375.1	$x^{15} - x^{14} - 45 x^{13} + 13 x^{12} + 202 x^{11} + 585 x^{10} + 18132 x^{9} + 11170 x^{8} - 353132 x^{7} - 884733 x^{6} + 2737389 x^{5} + 12320518 x^{4} - 8698020 x^{3} - 65933525 x^{2} + 34867800 x - 51621075$	$15$	[1,7]	$-\,5^{7}\cdot 11^{7}\cdot 31^{14}$	$3$	$159.9951566697013$	$182.8600885163469$				$D_{15}$ (as 15T2)	$[15]$	$2$	$7$	$44293820402.70527$
15.1.168...375.1	$x^{15} - 5 x^{14} + 32 x^{13} - 114 x^{12} - 8 x^{11} - 718 x^{10} - 245 x^{9} - 6544 x^{8} + 81583 x^{7} - 8244 x^{6} + 613064 x^{5} - 858725 x^{4} - 1275656 x^{3} - 2931813 x^{2} - 2382156 x - 1617597$	$15$	[1,7]	$-\,3^{7}\cdot 5^{7}\cdot 61^{14}$	$3$	$164.1158149116518$	$179.61949686174458$				$D_{15}$ (as 15T2)	$[15]$	$2$	$7$	$289968957794.08386$
15.1.383...847.1	$x^{15} - 2 x^{14} - 119 x^{13} - 264 x^{12} + 8815 x^{11} + 26016 x^{10} - 364955 x^{9} - 937361 x^{8} + 10407807 x^{7} + 9528638 x^{6} - 172314511 x^{5} + 90754619 x^{4} + 1631554345 x^{3} - 4475368332 x^{2} + 4358260385 x - 1474631425$	$15$	[1,7]	$-\,23^{7}\cdot 101^{12}$	$2$	$173.35249200082492$	$192.45137442657924$			?	$D_{15}$ (as 15T2)	$[5, 5]$	$2$	$7$	$4839262483.060358$
15.1.404...875.1	$x^{15} - 15 x^{13} - 40 x^{12} + 555 x^{11} + 1584 x^{10} - 9455 x^{9} - 39510 x^{8} + 91065 x^{7} + 607930 x^{6} + 258663 x^{5} - 4589190 x^{4} - 9623120 x^{3} + 12535800 x^{2} + 67100880 x + 60574976$	$15$	[1,7]	$-\,3^{20}\cdot 5^{24}\cdot 11^{7}$	$3$	$173.97904114293672$	$188.45602323554326$				$D_{15}$ (as 15T2)	$[15]$	$2$	$7$	$84970561778.08797$
15.1.508...672.1	$x^{15} - 6 x^{14} + 85 x^{13} - 602 x^{12} + 3965 x^{11} - 25090 x^{10} + 100747 x^{9} - 487942 x^{8} + 1559958 x^{7} - 4672048 x^{6} + 12103292 x^{5} - 1169144 x^{4} + 49108424 x^{3} + 182103008 x^{2} + 171436160 x + 23283200$	$15$	[1,7]	$-\,2^{14}\cdot 17^{7}\cdot 31^{14}$	$3$	$176.64787069666804$	$203.32558816341938$				$D_{15}$ (as 15T2)	$[15]$	$2$	$7$	$1442090963559.9636$
15.1.882...899.1	$x^{15} - 6 x^{14} - 32 x^{13} - 217 x^{12} + 1273 x^{11} + 7044 x^{10} + 35320 x^{9} + 26897 x^{8} + 21071 x^{7} + 88488 x^{6} + 1159718 x^{5} + 2323243 x^{4} + 3999014 x^{3} + 2500548 x^{2} + 3402320 x + 145984$	$15$	[1,7]	$-\,19^{7}\cdot 61^{14}$	$2$	$183.25655852601201$	$202.1550740404437$				$D_{15}$ (as 15T2)	$[15]$	$2$	$7$	$208707240010.556$
15.1.105...907.1	$x^{15} - 2 x^{14} - 67 x^{13} + 7 x^{12} + 1862 x^{11} + 955 x^{10} - 22649 x^{9} + 15594 x^{8} + 130731 x^{7} - 339219 x^{6} - 186642 x^{5} + 1010637 x^{4} - 79380 x^{3} - 5426676 x^{2} + 9739440 x - 7873200$	$15$	[1,7]	$-\,3^{7}\cdot 19^{10}\cdot 31^{12}$	$3$	$185.45918256313396$	$192.37666120520026$				$D_{15}$ (as 15T2)	$[15]$	$2$	$7$	$1961515997574.46$
15.1.124...047.1	$x^{15} - x^{14} - 48 x^{13} - 262 x^{12} + 1315 x^{11} + 12911 x^{10} + 9402 x^{9} - 288163 x^{8} - 1082965 x^{7} + 1555129 x^{6} + 20614353 x^{5} + 45220033 x^{4} - 68478979 x^{3} - 545774630 x^{2} - 1157437776 x - 965521745$	$15$	[1,7]	$-\,7^{7}\cdot 11^{12}\cdot 37^{10}$	$3$	$187.48263533229542$	$200.04651233721526$				$D_{15}$ (as 15T2)	$[15]$	$2$	$7$	$70028687806.4467$
15.1.126...000.1	$x^{15} - 5 x^{14} - 29 x^{13} - 53 x^{12} + 1151 x^{11} + 75 x^{10} - 28427 x^{9} + 45733 x^{8} + 300024 x^{7} - 679854 x^{6} - 1346256 x^{5} + 4335608 x^{4} + 2482432 x^{3} - 31824768 x^{2} - 43432960 x - 17100800$	$15$	[1,7]	$-\,2^{14}\cdot 5^{7}\cdot 61^{14}$	$3$	$187.69606909533778$	$207.40672972966675$				$D_{15}$ (as 15T2)	$[15]$	$2$	$7$	$6713301443397.708$
15.1.150...875.1	$x^{15} - 5 x^{14} + 140 x^{13} - 475 x^{12} + 6580 x^{11} - 13295 x^{10} + 135810 x^{9} - 141645 x^{8} + 1373780 x^{7} - 648445 x^{6} + 7970368 x^{5} - 2009945 x^{4} + 23808305 x^{3} + 6480170 x^{2} + 551220 x + 35568$	$15$	[1,7]	$-\,5^{24}\cdot 7^{10}\cdot 19^{7}$	$3$	$189.8901251511821$	$209.4727338450893$				$D_{15}$ (as 15T2)	$[15]$	$2$	$7$	$273021196817.81622$
15.1.509...296.1	$x^{15} - 2 x^{14} - 69 x^{13} + 96 x^{12} + 2047 x^{11} - 1578 x^{10} - 21043 x^{9} - 74324 x^{8} + 261032 x^{7} + 982304 x^{6} - 1831536 x^{5} - 2360256 x^{4} + 8320256 x^{3} + 6079488 x^{2} - 11288576 x + 6422528$	$15$	[1,7]	$-\,2^{14}\cdot 13^{10}\cdot 41^{12}$	$3$	$205.97633018921783$	$215.71780004732867$				$D_{15}$ (as 15T2)	$[15]$	$2$	$7$	$8894026003748.834$
15.1.535...531.1	$x^{15} - 3 x^{14} - 3 x^{13} + 51 x^{12} + 627 x^{11} - 1977 x^{10} - 14737 x^{9} + 30819 x^{8} + 255279 x^{7} - 71575 x^{6} - 2355639 x^{5} - 5929467 x^{4} - 462788 x^{3} + 42280284 x^{2} + 106012416 x + 31318768$	$15$	[1,7]	$-\,3^{20}\cdot 11^{7}\cdot 31^{12}$	$3$	$206.6494630193835$	$223.84498585894494$				$D_{15}$ (as 15T2)	$[15]$	$2$	$7$	$335436348513.2917$
15.1.558...247.1	$x^{15} - x^{14} - 58 x^{13} - 110 x^{12} + 1651 x^{11} + 7157 x^{10} - 19714 x^{9} - 181049 x^{8} - 121273 x^{7} + 2030551 x^{6} + 6313627 x^{5} - 1023583 x^{4} - 44011693 x^{3} - 107894732 x^{2} - 118653722 x - 53491339$	$15$	[1,7]	$-\,7^{7}\cdot 11^{12}\cdot 43^{10}$	$3$	$207.23934159548259$	$221.12718562845848$				$D_{15}$ (as 15T2)	$[5, 15]$	$2$	$7$	$34727228668.4015$
15.1.885...227.1	$x^{15} - 6 x^{14} + 53 x^{13} + 65 x^{12} + 3723 x^{11} + 6505 x^{10} + 34337 x^{9} + 36129 x^{8} + 34165 x^{7} + 1552507 x^{6} + 8953293 x^{5} + 43107743 x^{4} + 115874358 x^{3} + 211396845 x^{2} + 355778478 x + 304793676$	$15$	[1,7]	$-\,3^{7}\cdot 181^{14}$	$2$	$213.70921812725064$	$221.6804004196383$				$D_{15}$ (as 15T2)	$[15]$	$2$	$7$	$5721659909212.276$
15.1.142...408.1	$x^{15} - 2 x^{14} - 83 x^{13} + 544 x^{12} + 1924 x^{11} - 26036 x^{10} + 34422 x^{9} + 454152 x^{8} - 1971619 x^{7} - 659434 x^{6} + 20679653 x^{5} - 32224392 x^{4} + 9039390 x^{3} + 244477792 x^{2} - 1509434056 x + 3205164896$	$15$	[1,7]	$-\,2^{21}\cdot 11^{12}\cdot 43^{10}$	$3$	$220.56424540240852$	$236.39490500664405$				$D_{15}$ (as 15T2)	$[15]$	$2$	$7$	$6412489905953.196$
15.1.163...000.1	$x^{15} - 7 x^{14} - 28 x^{13} - 144 x^{12} + 2095 x^{11} + 337 x^{10} - 19903 x^{9} - 160455 x^{8} + 1090677 x^{7} - 522869 x^{6} - 10364275 x^{5} + 26986175 x^{4} + 362562 x^{3} - 96560678 x^{2} + 149601655 x - 74596195$	$15$	[1,7]	$-\,2^{10}\cdot 3^{13}\cdot 5^{10}\cdot 29^{13}$	$4$	$222.629828763$	$295.4482993049708$			?	$F_5 \times S_3$ (as 15T11)	$[30]$	$2$	$7$	$69747520577.13919$
15.1.164...112.1	$x^{15} - 3 x^{14} - 60 x^{13} + 192 x^{12} + 2403 x^{11} - 4629 x^{10} - 38084 x^{9} + 296028 x^{8} + 1395564 x^{7} - 2853460 x^{6} - 12122496 x^{5} + 26160576 x^{4} + 69049664 x^{3} + 133584576 x^{2} + 663475200 x + 172476928$	$15$	[1,7]	$-\,2^{21}\cdot 3^{20}\cdot 41^{12}$	$3$	$222.75668809949158$	$238.74470690750917$				$D_{15}$ (as 15T2)	$[15]$	$2$	$7$	$7102224590458.065$
15.1.228...923.1	$x^{15} - 3 x^{14} - 2 x^{13} + 10 x^{12} - 533 x^{11} + 4267 x^{10} - 6217 x^{9} + 21901 x^{8} - 4126 x^{7} - 1003732 x^{6} + 7017959 x^{5} - 26427691 x^{4} + 77799822 x^{3} - 193155472 x^{2} + 291829704 x - 180402672$	$15$	[1,7]	$-\,3^{7}\cdot 13^{10}\cdot 31^{14}$	$3$	$227.62662960913667$	$236.11692017833354$				$D_{15}$ (as 15T2)	$[3, 15]$	$2$	$7$	$3205324145614.1943$
15.5.337...000.1	$x^{15} - 110 x^{13} - 330 x^{12} + 6050 x^{11} + 25674 x^{10} - 442200 x^{9} - 2425610 x^{8} + 6912345 x^{7} + 36375350 x^{6} - 70930618 x^{5} - 40668100 x^{4} + 762404060 x^{3} - 1733605720 x^{2} - 2315335000 x + 7384846832$	$15$	[5,5]	$-\,2^{15}\cdot 5^{25}\cdot 11^{13}$	$3$	$233.625546356$	$377.6134175841725$				$S_3 \times C_5$ (as 15T4)	$[5, 5]$	$2$	$9$	$36521311280903.49$
15.1.478...352.1	$x^{15} - 3 x^{14} - 2 x^{13} + 10 x^{12} + 583 x^{11} - 4661 x^{10} + 11081 x^{9} + 36409 x^{8} - 49045 x^{7} - 543661 x^{6} - 2409451 x^{5} + 24554537 x^{4} - 26499306 x^{3} - 148690126 x^{2} + 400852023 x - 275803653$	$15$	[1,7]	$-\,2^{10}\cdot 3^{7}\cdot 7^{10}\cdot 31^{14}$	$4$	$239.15503221100116$	$248.0753229434328$				$D_{15}$ (as 15T2)	$[3, 15]$	$2$	$7$	$1191266273392.7317$
15.1.663...664.1	$x^{15} - 4 x^{14} + 104 x^{13} + 274 x^{12} + 4523 x^{11} + 21726 x^{10} + 194874 x^{9} + 563004 x^{8} + 2166919 x^{7} + 9564520 x^{6} + 18149300 x^{5} + 14535290 x^{4} + 67149645 x^{3} + 55982910 x^{2} - 61418198 x + 153197496$	$15$	[1,7]	$-\,2^{14}\cdot 181^{14}$	$2$	$244.41508085931073$	$255.9744777126844$				$D_{15}$ (as 15T2)	$[15]$	$2$	$7$	$35358868118683.96$
15.1.988...000.1	$x^{15} - 5124 x^{10} + 12993792 x^{5} + 398297088$	$15$	[1,7]	$-\,2^{23}\cdot 3^{13}\cdot 5^{17}\cdot 7^{13}$	$4$	$250.997109629$	$388.2119163676661$			?	$F_5 \times S_3$ (as 15T11)	$[5, 5]$	$2$	$7$	$248951624693.55133$
15.1.135...439.1	$x^{15} - 6 x^{14} - 93 x^{13} + 454 x^{12} + 1578 x^{11} - 5949 x^{10} + 79789 x^{9} - 22818 x^{8} - 2693307 x^{7} - 6802499 x^{6} + 25821042 x^{5} + 123594354 x^{4} - 474740942 x^{3} - 685665279 x^{2} + 3491509749 x - 3507200723$	$15$	[1,7]	$-\,3^{7}\cdot 13^{7}\cdot 61^{14}$	$3$	$256.33308398556125$	$289.62773606381745$				$D_{15}$ (as 15T2)	$[15]$	$2$	$7$	$2602627376272.454$
15.1.469...000.1	$x^{15} - 5 x^{14} - 20 x^{13} + 200 x^{12} + 90 x^{11} - 6570 x^{10} + 15320 x^{9} + 120720 x^{8} - 681095 x^{7} + 217315 x^{6} + 8211996 x^{5} - 26587160 x^{4} + 17688940 x^{3} + 73575820 x^{2} - 174675360 x + 117461376$	$15$	[1,7]	$-\,2^{14}\cdot 5^{24}\cdot 37^{10}$	$3$	$278.4717552603413$	$291.6418326556994$				$D_{15}$ (as 15T2)	$[30]$	$2$	$7$	$36295408616655.73$
15.1.599...136.1	$x^{15} - x^{14} + 52 x^{13} + 34 x^{12} + 1002 x^{11} + 5030 x^{10} + 11916 x^{9} - 29880 x^{8} - 312451 x^{7} - 1446557 x^{6} - 2987200 x^{5} + 3026486 x^{4} + 5376504 x^{3} - 16726952 x^{2} - 16622880 x - 57753792$	$15$	[1,7]	$-\,2^{14}\cdot 13^{10}\cdot 61^{12}$	$3$	$283.04409498369984$	$296.4304171755121$				$D_{15}$ (as 15T2)	$[15]$	$2$	$7$	$89398837131552.66$
15.1.610...283.1	$x^{15} - 6 x^{14} + 29 x^{13} - 156 x^{12} + 1212 x^{11} + 4116 x^{10} - 66733 x^{9} + 173358 x^{8} + 866287 x^{7} - 4095624 x^{6} - 951492 x^{5} + 32815008 x^{4} - 20052432 x^{3} - 93788928 x^{2} + 139221504 x - 53498880$	$15$	[1,7]	$-\,3^{7}\cdot 7^{10}\cdot 61^{14}$	$3$	$283.37603861361197$	$293.94573738878967$				$D_{15}$ (as 15T2)	$[3, 15]$	$2$	$7$	$20858862898256.973$