Number field search results

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

Results (36 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
15.9.137...247.1	$x^{15} - 4 x^{14} - 5 x^{13} + 39 x^{12} - 17 x^{11} - 126 x^{10} + 132 x^{9} + 157 x^{8} - 232 x^{7} - 95 x^{6} + 178 x^{5} + 49 x^{4} - 76 x^{3} - 19 x^{2} + 18 x - 1$	$15$	[9,3]	$-\,7^{12}\cdot 463^{3}$	$2$	$16.1880534698$	$108.9027538962374$			?	$S_5 \times C_3$ (as 15T24)	trivial	$2$	$11$	$3175.51632285$
15.9.313...727.1	$x^{15} - 3 x^{13} - 9 x^{12} - 9 x^{11} + 21 x^{10} + 3 x^{9} + 99 x^{7} + 63 x^{6} - 36 x^{5} - 9 x^{4} - 27 x^{2} - 18 x - 3$	$15$	[9,3]	$-\,3^{24}\cdot 223^{3}$	$2$	$17.1023181075$	$86.6056925809443$			?	$S_5 \times C_3$ (as 15T24)	trivial	$2$	$11$	$6161.99584614$
15.9.353...416.1	$x^{15} - 4 x^{13} - 2 x^{12} + 5 x^{11} - 19 x^{10} - 47 x^{9} + 51 x^{8} + 90 x^{7} - 72 x^{6} - 62 x^{5} + 57 x^{4} + 19 x^{3} - 15 x^{2} - 2 x + 1$	$15$	[9,3]	$-\,2^{10}\cdot 3^{5}\cdot 61^{3}\cdot 397^{3}$	$4$	$17.2405513497$	$988.671556905306$			?	$S_3^5.S_5$ (as 15T93)	trivial	$2$	$11$	$4933.99143209$
15.9.369...824.1	$x^{15} - 5 x^{14} + 14 x^{13} - 35 x^{12} + 70 x^{11} - 112 x^{10} + 154 x^{9} - 206 x^{8} + 267 x^{7} - 175 x^{6} - 70 x^{5} + 133 x^{4} - 21 x^{3} - 21 x^{2} + 4 x + 1$	$15$	[9,3]	$-\,2^{12}\cdot 7^{14}\cdot 11^{3}$	$3$	$17.292616263055855$	$45.77793254465407$			?	$S_5 \times C_3$ (as 15T24)	trivial	$2$	$11$	$6210.486465420129$
15.9.350...519.1	$x^{15} - 5 x^{14} - x^{13} + 42 x^{12} - 49 x^{11} - 97 x^{10} + 192 x^{9} + 46 x^{8} - 247 x^{7} + 47 x^{6} + 152 x^{5} - 78 x^{4} - 29 x^{3} + 34 x^{2} - 10 x + 1$	$15$	[9,3]	$-\,13^{3}\cdot 347^{3}\cdot 19543^{2}$	$3$	$20.0903142367$	$48730.0924028897$			✓	$C_3\wr S_5$ (as 15T78)	trivial	$2$	$11$	$16559.1768933$
15.9.489...031.1	$x^{15} - 3 x^{14} + 9 x^{12} - 33 x^{11} + 74 x^{10} - 19 x^{9} - 223 x^{8} + 465 x^{7} - 288 x^{6} - 409 x^{5} + 806 x^{4} - 298 x^{3} - 234 x^{2} + 172 x - 19$	$15$	[9,3]	$-\,13^{5}\cdot 347^{3}\cdot 1777^{2}$	$3$	$20.5433848819$	$23169.099226639526$			?	$C_3\wr S_5$ (as 15T78)	trivial	$2$	$11$	$22178.4647209$
15.9.100...792.1	$x^{15} - 6 x^{14} + 7 x^{13} + 26 x^{12} - 82 x^{11} + 70 x^{10} + 29 x^{9} - 100 x^{8} + 78 x^{7} + 2 x^{6} - 69 x^{5} + 42 x^{4} + 29 x^{3} - 26 x^{2} - 4 x + 4$	$15$	[9,3]	$-\,2^{18}\cdot 37^{6}\cdot 53^{3}$	$3$	$21.5462581219$	$140.59033192489008$			?	$S_5 \times S_3$ (as 15T29)	trivial	$2$	$11$	$70774.3801856$
15.9.171...832.1	$x^{15} - 5 x^{13} - 17 x^{12} - 24 x^{11} + 61 x^{10} + 214 x^{9} + 111 x^{8} - 303 x^{7} - 468 x^{6} - 151 x^{5} + 176 x^{4} + 200 x^{3} + 82 x^{2} + 15 x + 1$	$15$	[9,3]	$-\,2^{10}\cdot 13^{3}\cdot 31^{3}\cdot 37^{6}$	$4$	$22.3371809632$	$193.83850378592203$			?	$S_5 \times S_3$ (as 15T29)	trivial	$2$	$11$	$39396.0294922$
15.9.175...376.1	$x^{15} - x^{14} - 15 x^{13} + 8 x^{12} + 82 x^{11} - 26 x^{10} - 235 x^{9} + 98 x^{8} + 283 x^{7} - 125 x^{6} - 145 x^{5} + 55 x^{4} + 29 x^{3} - 10 x^{2} - x + 1$	$15$	[9,3]	$-\,2^{10}\cdot 79^{6}\cdot 89^{3}$	$3$	$22.367399857949994$	$167.70211686201222$			?	$S_5 \times S_3$ (as 15T29)	trivial	$2$	$11$	$40279.326507503436$
15.9.320...231.1	$x^{15} - 15 x^{13} - 3 x^{12} + 81 x^{11} + 72 x^{10} - 271 x^{9} - 360 x^{8} + 498 x^{7} + 766 x^{6} - 225 x^{5} - 663 x^{4} - 158 x^{3} + 225 x^{2} + 96 x - 31$	$15$	[9,3]	$-\,3^{20}\cdot 13^{3}\cdot 347^{3}$	$3$	$23.2817830721$	$588.2990556734682$			?	$C_3^4:S_5$ (as 15T63)	trivial	$2$	$11$	$66699.9621274$
15.9.356...883.1	$x^{15} - x^{14} - x^{13} - 10 x^{12} - x^{11} + 10 x^{10} + 56 x^{9} + 63 x^{8} - 50 x^{7} - 211 x^{6} - 184 x^{5} + 188 x^{4} + 219 x^{3} + 25 x^{2} - 18 x - 3$	$15$	[9,3]	$-\,3\cdot 13^{4}\cdot 401^{6}$	$3$	$23.4486256498$	$191.761631149886$			?	$S_3\wr D_5$ (as 15T86)	trivial	$2$	$11$	$123562.086017$
15.9.122...992.1	$x^{15} - 4 x^{14} - 5 x^{13} + 43 x^{12} - 64 x^{11} - 63 x^{10} + 340 x^{9} - 375 x^{8} - 161 x^{7} + 842 x^{6} - 821 x^{5} + 86 x^{4} + 384 x^{3} - 294 x^{2} + 117 x - 27$	$15$	[9,3]	$-\,2^{10}\cdot 3\cdot 31^{2}\cdot 401^{6}$	$4$	$29.6893522414$	$543.3261484593049$			?	$S_3\wr D_5$ (as 15T86)	trivial	$2$	$11$	$791207.326098$
15.9.134...128.1	$x^{15} - 3 x^{14} - 8 x^{13} + 43 x^{12} - 98 x^{11} + 206 x^{10} - 138 x^{9} - 450 x^{8} + 935 x^{7} - 737 x^{6} - 670 x^{5} + 1953 x^{4} + 601 x^{3} - 913 x^{2} - 428 x - 43$	$15$	[9,3]	$-\,2^{18}\cdot 3^{12}\cdot 7^{13}$	$3$	$29.87798465767787$	$40.54293644764779$			?	$S_5 \times C_3$ (as 15T24)	trivial	$2$	$11$	$654074.2800450686$
15.9.430...759.1	$x^{15} - 15 x^{13} - 8 x^{12} + 9 x^{11} - 6 x^{10} + 250 x^{9} + 288 x^{8} + 147 x^{7} - 534 x^{6} - 1413 x^{5} + 636 x^{4} + 120 x^{3} - 648 x^{2} + 288 x - 32$	$15$	[9,3]	$-\,3^{20}\cdot 61^{3}\cdot 379^{3}$	$3$	$32.2816319676$				?	$C_3^4:S_5$ (as 15T63)	trivial	$2$	$11$	$1291712.66361$
15.9.461...728.1	$x^{15} - 3 x^{13} - 2 x^{12} - 36 x^{11} - 48 x^{10} + 65 x^{9} + 162 x^{8} + 351 x^{7} + 672 x^{6} + 405 x^{5} - 522 x^{4} - 1032 x^{3} - 720 x^{2} - 240 x - 32$	$15$	[9,3]	$-\,2^{10}\cdot 3^{15}\cdot 11^{12}$	$3$	$32.42814204$	$129.20038569064894$			?	$S_3\wr C_5$ (as 15T81)	trivial	$2$	$11$	$691102.83729$
15.9.704...419.1	$x^{15} - 20 x^{13} - 2 x^{12} + 160 x^{11} + 32 x^{10} - 639 x^{9} - 192 x^{8} + 1268 x^{7} + 508 x^{6} - 976 x^{5} - 480 x^{4} - 60 x^{3} - 64 x^{2} - 16 x - 1$	$15$	[9,3]	$-\,13^{4}\cdot 23\cdot 347^{3}\cdot 2567103551$	$4$	$33.3576568772$	$30989021.504165825$			✓	$S_3^5.S_5$ (as 15T93)	trivial	$2$	$11$	$990877.070761$
15.9.828...443.1	$x^{15} - 20 x^{13} - 3 x^{12} + 160 x^{11} + 48 x^{10} - 637 x^{9} - 288 x^{8} + 1244 x^{7} + 764 x^{6} - 880 x^{5} - 736 x^{4} - 187 x^{3} - 64 x^{2} - 20 x - 1$	$15$	[9,3]	$-\,4903^{3}\cdot 38569\cdot 18229261$	$3$	$33.7204121962$	$58713053.52216513$			✓	$S_3^5.S_5$ (as 15T93)	trivial	$2$	$11$	$1221526.01851$
15.9.208...384.1	$x^{15} - 15 x^{13} - 10 x^{12} + 90 x^{11} + 120 x^{10} - 254 x^{9} - 540 x^{8} + 261 x^{7} + 1120 x^{6} + 189 x^{5} - 1050 x^{4} - 512 x^{3} + 360 x^{2} + 240 x + 32$	$15$	[9,3]	$-\,2^{10}\cdot 3^{15}\cdot 61^{3}\cdot 397^{3}$	$4$	$35.8617919631$	$2952.6354717377744$			?	$S_3^5.S_5$ (as 15T93)	trivial	$2$	$11$	$1556385.73021$
15.9.327...544.1	$x^{15} - 21 x^{13} - 22 x^{12} + 216 x^{11} + 438 x^{10} - 1155 x^{9} - 3384 x^{8} + 1827 x^{7} + 10638 x^{6} + 3987 x^{5} - 11112 x^{4} - 8556 x^{3} + 4320 x^{2} + 3744 x - 608$	$15$	[9,3]	$-\,2^{10}\cdot 3^{20}\cdot 13^{3}\cdot 347^{3}$	$4$	$36.9575269403$	$2197.2690627548855$			?	$C_3:S_3^4:S_5$ (as 15T91)	trivial	$2$	$11$	$1993032.9234$
15.9.349...376.1	$x^{15} - 15 x^{13} - x^{12} + 79 x^{11} + 25 x^{10} - 219 x^{9} - 173 x^{8} + 611 x^{7} + 265 x^{6} - 1279 x^{5} + 531 x^{4} + 434 x^{3} - 303 x^{2} + 44 x + 4$	$15$	[9,3]	$-\,2^{10}\cdot 3^{6}\cdot 881^{6}$	$3$	$37.1129544871$	$1051.1759004017842$				$S_3\wr A_5$ (as 15T90)	trivial	$2$	$11$	$9545897.66025$
15.9.893...832.1	$x^{15} - x^{14} - 10 x^{13} + 6 x^{12} + 38 x^{11} - 6 x^{10} - 67 x^{9} - 25 x^{8} + 52 x^{7} + 62 x^{6} - 10 x^{5} - 46 x^{4} - 5 x^{3} + 13 x^{2} + x - 1$	$15$	[9,3]	$-\,2^{14}\cdot 83\cdot 181\cdot 10301\cdot 53681\cdot 6565421$	$6$	$39.5132371854$	$28044154922.746494$			✓	$S_{15}$ (as 15T104)	trivial	$2$	$11$	$9166344.42892$
15.9.106...744.1	$x^{15} - 15 x^{13} - 4 x^{12} + 90 x^{11} + 48 x^{10} - 290 x^{9} - 216 x^{8} + 585 x^{7} + 536 x^{6} - 783 x^{5} - 948 x^{4} + 428 x^{3} + 936 x^{2} + 336 x + 32$	$15$	[9,3]	$-\,2^{10}\cdot 3^{15}\cdot 11^{12}\cdot 23$	$4$	$39.9672182762$	$647.0563489165986$			?	$S_3\wr C_5$ (as 15T81)	trivial	$2$	$11$	$3518070.951$
15.9.314...384.1	$x^{15} - 15 x^{13} - 4 x^{12} + 90 x^{11} + 48 x^{10} - 279 x^{9} - 216 x^{8} + 486 x^{7} + 480 x^{6} - 486 x^{5} - 612 x^{4} + 211 x^{3} + 432 x^{2} + 96 x - 16$	$15$	[9,3]	$-\,2^{10}\cdot 3^{8}\cdot 881^{6}$	$3$	$42.9676593554$	$1065.0230548247393$				$S_3\wr A_5$ (as 15T90)	trivial	$2$	$11$	$50030192.6931$
15.9.773...384.1	$x^{15} - 33 x^{13} - 40 x^{12} - 90 x^{11} + 54 x^{10} + 1791 x^{9} - 954 x^{8} + 6819 x^{7} + 25096 x^{6} - 2367 x^{5} - 52062 x^{4} - 63600 x^{3} - 29592 x^{2} + 6576 x + 4384$	$15$	[9,3]	$-\,2^{10}\cdot 3^{21}\cdot 137^{2}\cdot 1567^{3}$	$4$	$62.0249317836$				?	$C_3^4:(S_3\times S_5)$ (as 15T83)	trivial	$2$	$11$	$197659874.612$
15.9.166...104.1	$x^{15} - 2 x^{14} - 5 x^{13} + 10 x^{12} + 3 x^{11} - 12 x^{10} + 14 x^{9} - 6 x^{8} - 11 x^{7} + 20 x^{6} - 12 x^{5} - 21 x^{4} + 11 x^{3} + 10 x^{2} - x - 1$	$15$	[9,3]	$-\,2^{4}\cdot 8009\cdot 12967704729597363994091$	$3$	$65.2685692483$	$17743720995897.23$			✓	$S_{15}$ (as 15T104)	trivial	$2$	$11$	$375432035.765$
15.9.479...704.1	$x^{15} - 36 x^{13} - 26 x^{12} + 495 x^{11} + 840 x^{10} - 3406 x^{9} - 9972 x^{8} + 10698 x^{7} + 49848 x^{6} + 9009 x^{5} - 81840 x^{4} - 69036 x^{3} + 52272 x^{2} + 34848 x - 3872$	$15$	[9,3]	$-\,2^{10}\cdot 3^{20}\cdot 11^{4}\cdot 13^{3}\cdot 347^{3}$	$5$	$70.0499158963$	$10867.884920730781$			?	$C_3:S_3^4:S_5$ (as 15T91)	trivial	$2$	$11$	$233504331.052$
15.9.500...000.1	$x^{15} - 17 x^{13} - 89 x^{12} - 6 x^{11} + 2412 x^{10} - 250 x^{9} - 18072 x^{8} + 10091 x^{7} + 32534 x^{6} - 1671 x^{5} - 39915 x^{4} + 21349 x^{3} - 5292 x^{2} - 28493 x + 43$	$15$	[9,3]	$-\,2^{12}\cdot 3^{16}\cdot 5^{9}\cdot 23\cdot 43^{6}$	$5$	$81.9038987759$	$1603.656627006966$			?	$S_3\wr F_5$ (as 15T87)	trivial	$2$	$11$	$3081208230.4$
15.9.395...000.1	$x^{15} - 20 x^{13} - 20 x^{12} + 160 x^{11} + 320 x^{10} - 500 x^{9} - 1920 x^{8} - 400 x^{7} + 4720 x^{6} + 5696 x^{5} - 1920 x^{4} - 8560 x^{3} - 6400 x^{2} - 1600 x - 16$	$15$	[9,3]	$-\,2^{14}\cdot 5^{15}\cdot 7^{6}\cdot 13\cdot 517364567$	$5$	$94.0054902282$				?	$S_3\wr F_5$ (as 15T87)	trivial	$2$	$11$	$5019061959.44$
15.9.981...000.1	$x^{15} - 90 x^{13} - 180 x^{12} + 2865 x^{11} + 10236 x^{10} - 29950 x^{9} - 184260 x^{8} - 61170 x^{7} + 1026160 x^{6} + 1707168 x^{5} - 775200 x^{4} - 3783375 x^{3} - 2205900 x^{2} + 798000 x + 764864$	$15$	[9,3]	$-\,2^{18}\cdot 3^{23}\cdot 5^{15}\cdot 19^{4}$	$4$	$135.766581612$				?	$A_5^3:C_6$ (as 15T95)	trivial	$2$	$11$	$84644812557.8$
15.9.220...000.1	$x^{15} + 20 x^{13} - 40 x^{12} - 590 x^{11} + 1192 x^{10} - 7900 x^{9} + 33640 x^{8} + 19520 x^{7} - 201920 x^{6} + 244752 x^{5} + 132000 x^{4} - 778600 x^{3} - 120800 x^{2} + 310400 x + 79360$	$15$	[9,3]	$-\,2^{24}\cdot 5^{20}\cdot 13^{10}$	$3$	$143.296934695$	$1263.189366195891$			?	$S_5\wr C_3$ (as 15T101)	trivial	$2$	$11$	$143671917417$
15.9.294...000.1	$x^{15} - 99 x^{13} - 396 x^{12} - 1843 x^{11} - 11774 x^{10} + 108945 x^{9} + 1674756 x^{8} + 8533899 x^{7} + 23061222 x^{6} + 37151415 x^{5} + 37445760 x^{4} + 23871475 x^{3} + 9367350 x^{2} + 2068500 x + 197000$	$15$	[9,3]	$-\,2^{6}\cdot 5^{6}\cdot 7^{10}\cdot 13\cdot 197^{4}\cdot 6791^{2}\cdot 10753^{2}$	$7$	$498.862693551$	$58071431.67691378$				$S_5\wr C_3$ (as 15T101)	trivial	$2$	$11$	$1141197199090000$
15.9.236...000.1	$x^{15} + 9 x^{13} - 792 x^{12} - 2395 x^{11} + 95676 x^{10} - 483381 x^{9} + 225648 x^{8} + 4223644 x^{7} - 8858444 x^{6} - 4794300 x^{5} + 25180920 x^{4} - 13571300 x^{3} - 5876000 x^{2} + 3164000 x + 904000$	$15$	[9,3]	$-\,2^{20}\cdot 5^{6}\cdot 37^{5}\cdot 113^{4}\cdot 139^{2}\cdot 257003^{2}$	$6$	$573.116908254$	$18782042.265176687$				$S_5^3.S_3$ (as 15T102)	trivial	$2$	$11$	$32377981625800000$
15.9.959...264.1	$x^{15} - 2055 x^{13} - 7672 x^{12} + 1689210 x^{11} + 12612768 x^{10} - 716487806 x^{9} - 7775771472 x^{8} + 170071858773 x^{7} + 2260733557600 x^{6} - 22989137783499 x^{5} - 325916709388536 x^{4} + 1930435159845344 x^{3} + 21988813850200512 x^{2} - 159305388838030848 x + 215817165520608256$	$15$	[9,3]	$-\,2^{10}\cdot 3^{21}\cdot 137^{10}\cdot 1567^{3}$	$4$	$855.36327083$				?	$C_3^4:(C_2\times S_5)$ (as 15T70)	trivial	$2$	$11$	$67205708918800000$
15.9.483...000.1	$x^{15} - 126 x^{13} - 1008 x^{12} - 72268 x^{11} - 1126048 x^{10} - 2073960 x^{9} + 91965888 x^{8} + 1073983904 x^{7} + 5909943424 x^{6} + 19089311360 x^{5} + 38490439680 x^{4} + 49074905600 x^{3} + 38514739200 x^{2} + 17009664000 x + 3239936000$	$15$	[9,3]	$-\,2^{15}\cdot 5^{6}\cdot 7^{14}\cdot 113^{4}\cdot 292113919^{2}$	$5$	$1110.71862196$	$49068134.1007173$				$S_5\wr C_3$ (as 15T101)	trivial	$2$	$11$	$432308459235000000$
15.9.638...000.1	$x^{15} - 99 x^{13} - 396 x^{12} - 3868 x^{11} - 27974 x^{10} + 97245 x^{9} + 2044656 x^{8} + 10660124 x^{7} + 28900022 x^{6} + 46578665 x^{5} + 46949760 x^{4} + 29930225 x^{3} + 11744850 x^{2} + 2593500 x + 247000$	$15$	[9,3]	$-\,2^{24}\cdot 5^{6}\cdot 13^{4}\cdot 17\cdot 19^{4}\cdot 37^{5}\cdot 74483599^{2}$	$7$	$1131.51532127$	$252199876.32092622$			?	$S_5^3.S_3$ (as 15T102)	trivial	$2$	$11$	$1801375611110000000$
15.9.111...000.1	$x^{15} - 2 x^{14} - 407 x^{13} - 1685 x^{12} + 23336 x^{11} + 315044 x^{10} + 2792344 x^{9} + 3121160 x^{8} - 9493405 x^{7} - 391616582 x^{6} - 8099028027 x^{5} - 47181476755 x^{4} - 384855285287 x^{3} - 354805199160 x^{2} + 104196645675 x + 18151880625$	$15$	[9,3]	$-\,2^{18}\cdot 5^{5}\cdot 13^{10}\cdot 31^{4}\cdot 10332281051^{2}$	$5$	$1174.2958090754228$	$101682825.11628269$				$S_5\wr C_3$ (as 15T101)	trivial	$2$	$11$	$4293235003311329300$
15.9.509...000.1	$x^{15} + 378 x^{13} - 3024 x^{12} + 61040 x^{11} - 598528 x^{10} + 3949848 x^{9} - 33288192 x^{8} + 67412352 x^{7} + 486419584 x^{6} - 1876640640 x^{5} + 409167360 x^{4} + 4110937600 x^{3} - 2003456000 x^{2} - 2157568000 x + 1232896000$	$15$	[9,3]	$-\,2^{18}\cdot 5^{6}\cdot 7^{14}\cdot 43^{4}\cdot 20509^{2}\cdot 356999^{2}$	$6$	$1515.14880159$	$123671582.87161842$				$A_5^3:C_6$ (as 15T95)	trivial	$2$	$11$	$2962071577270000000$
15.9.672...000.1	$x^{15} + 522 x^{13} - 5256 x^{12} + 90798 x^{11} - 1156208 x^{10} + 8741070 x^{9} - 58030848 x^{8} + 185704640 x^{7} + 7128368 x^{6} - 1113803840 x^{5} + 1484167680 x^{4} + 433160800 x^{3} - 1125382400 x^{2} + 222848000$	$15$	[9,3]	$-\,2^{21}\cdot 5^{5}\cdot 37^{5}\cdot 1741^{4}\cdot 10433^{2}\cdot 1216507^{2}$	$6$	$2446.33212416$	$3808320109.7693763$				$S_5^3.S_3$ (as 15T102)	trivial	$2$	$11$	$950430846326000000000$
15.9.175...000.1	$x^{15} + 639 x^{13} - 6552 x^{12} + 106045 x^{11} - 1415004 x^{10} + 9994509 x^{9} - 54899712 x^{8} + 193325164 x^{7} - 284112164 x^{6} - 102417300 x^{5} + 624620520 x^{4} - 336640300 x^{3} - 145756000 x^{2} + 78484000 x + 22424000$	$15$	[9,3]	$-\,2^{16}\cdot 5^{6}\cdot 17^{2}\cdot 37^{6}\cdot 2803^{4}\cdot 4003^{2}\cdot 152723^{2}$	$7$	$3040.17586669$	$9874328599.1493$				$S_5^3.S_3$ (as 15T102)	trivial	$2$	$11$	$12427975138800000000000$
15.9.385...000.1	$x^{15} + 846 x^{13} - 13536 x^{12} + 239912 x^{11} - 6052864 x^{10} + 82904760 x^{9} - 959105664 x^{8} + 12280855424 x^{7} - 121534297088 x^{6} + 773045872640 x^{5} - 3112713584640 x^{4} + 7937354137600 x^{3} - 12458714726400 x^{2} + 11004542976000 x - 4192206848000$	$15$	[9,3]	$-\,2^{18}\cdot 3^{6}\cdot 5^{6}\cdot 79^{2}\cdot 107^{5}\cdot 1999^{4}\cdot 4987^{2}\cdot 609683^{2}$	$8$	$8049.33326475$	$24278285809.043655$				$A_5^3:D_6$ (as 15T97)	trivial	$2$	$11$	$1318066696200000000000000$