Number field search results

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

Results (1-50 of 205 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
15.15.140...613.1	$x^{15} - 6 x^{14} - 3 x^{13} + 80 x^{12} - 96 x^{11} - 330 x^{10} + 715 x^{9} + 308 x^{8} - 1694 x^{7} + 715 x^{6} + 1287 x^{5} - 1217 x^{4} + 53 x^{3} + 263 x^{2} - 76 x + 1$	$15$	[15,0]	$11^{14}\cdot 13^{5}$	$2$	$22.043520572$	$33.80167193086862$			?	$S_3 \times C_5$ (as 15T4)	trivial	$2$	$14$	$107288.657459$
15.15.539...537.1	$x^{15} - x^{14} - 23 x^{13} + 2 x^{12} + 169 x^{11} + 66 x^{10} - 473 x^{9} - 264 x^{8} + 572 x^{7} + 341 x^{6} - 297 x^{5} - 157 x^{4} + 69 x^{3} + 25 x^{2} - 6 x - 1$	$15$	[15,0]	$11^{14}\cdot 17^{5}$	$2$	$24.1055001383$	$38.65369066912301$			?	$S_3 \times C_5$ (as 15T4)	trivial	$2$	$14$	$234517.408115$
15.15.585...473.1	$x^{15} - x^{14} - 21 x^{13} + 10 x^{12} + 165 x^{11} - 14 x^{10} - 597 x^{9} - 103 x^{8} + 994 x^{7} + 271 x^{6} - 683 x^{5} - 92 x^{4} + 197 x^{3} - 24 x^{2} - 7 x + 1$	$15$	[15,0]	$3^{6}\cdot 7^{10}\cdot 13^{3}\cdot 109^{3}$	$4$	$24.2393609186$	$238.58560980444312$			?	$S_5 \times C_3$ (as 15T24)	trivial	$2$	$14$	$246980.524869$
15.15.756...321.1	$x^{15} - x^{14} - 14 x^{13} + 13 x^{12} + 78 x^{11} - 66 x^{10} - 220 x^{9} + 165 x^{8} + 330 x^{7} - 210 x^{6} - 252 x^{5} + 126 x^{4} + 84 x^{3} - 28 x^{2} - 8 x + 1$	$15$	[15,0]	$31^{14}$	$1$	$24.6568493055$	$24.65684930554747$		✓	✓	$C_{15}$ (as 15T1)	trivial	$2$	$14$	$263438.339715$
15.15.886...529.1	$x^{15} - x^{14} - 22 x^{13} + 17 x^{12} + 166 x^{11} - 102 x^{10} - 533 x^{9} + 270 x^{8} + 729 x^{7} - 352 x^{6} - 393 x^{5} + 173 x^{4} + 80 x^{3} - 27 x^{2} - 6 x + 1$	$15$	[15,0]	$7^{10}\cdot 11^{12}$	$2$	$24.9179804908$	$24.91798049084744$		✓	?	$C_{15}$ (as 15T1)	trivial	$2$	$14$	$286717.64844$
15.15.100...672.1	$x^{15} - 5 x^{14} - 9 x^{13} + 71 x^{12} + 3 x^{11} - 367 x^{10} + 187 x^{9} + 827 x^{8} - 660 x^{7} - 740 x^{6} + 816 x^{5} + 86 x^{4} - 327 x^{3} + 127 x^{2} - 19 x + 1$	$15$	[15,0]	$2^{12}\cdot 7^{11}\cdot 499^{3}$	$3$	$25.1294317673$	$253.8050745604599$			?	$S_5 \times C_3$ (as 15T24)	trivial	$2$	$14$	$377551.758655$
15.15.587...409.1	$x^{15} - 6 x^{14} + x^{13} + 56 x^{12} - 89 x^{11} - 122 x^{10} + 358 x^{9} - 53 x^{8} - 418 x^{7} + 271 x^{6} + 122 x^{5} - 158 x^{4} + 22 x^{3} + 22 x^{2} - 9 x + 1$	$15$	[15,0]	$11^{12}\cdot 109^{2}\cdot 397^{2}$	$3$	$28.2667849864$	$8393.159659599982$			✓	$C_3\wr C_5$ (as 15T36)	trivial	$2$	$14$	$850238.217539$
15.15.848...401.1	$x^{15} - 4 x^{14} - 9 x^{13} + 54 x^{12} - 7 x^{11} - 226 x^{10} + 218 x^{9} + 293 x^{8} - 500 x^{7} + 15 x^{6} + 314 x^{5} - 152 x^{4} - 28 x^{3} + 40 x^{2} - 11 x + 1$	$15$	[15,0]	$11^{12}\cdot 52009^{2}$	$2$	$28.9684071107$	$9487.821026459433$			✓	$C_3\wr C_5$ (as 15T36)	trivial	$2$	$14$	$1056561.55278$
15.15.109...121.1	$x^{15} - 27 x^{13} - 4 x^{12} + 252 x^{11} + 60 x^{10} - 976 x^{9} - 288 x^{8} + 1473 x^{7} + 384 x^{6} - 765 x^{5} - 168 x^{4} + 150 x^{3} + 27 x^{2} - 9 x - 1$	$15$	[15,0]	$3^{20}\cdot 11^{12}$	$2$	$29.4629223441$	$29.46292234405376$		✓	?	$C_{15}$ (as 15T1)	trivial	$2$	$14$	$967645.576239$
15.15.148...281.1	$x^{15} - 6 x^{14} + 62 x^{12} - 98 x^{11} - 133 x^{10} + 397 x^{9} - 69 x^{8} - 456 x^{7} + 310 x^{6} + 122 x^{5} - 173 x^{4} + 29 x^{3} + 21 x^{2} - 9 x + 1$	$15$	[15,0]	$31^{2}\cdot 61^{2}\cdot 401^{6}$	$3$	$30.0711441775$	$3062.197556022189$			?	$C_3\wr D_5$ (as 15T46)	trivial	$2$	$14$	$1415442.60312$
15.15.259...577.1	$x^{15} - 7 x^{14} + 7 x^{13} + 52 x^{12} - 129 x^{11} - 37 x^{10} + 368 x^{9} - 220 x^{8} - 305 x^{7} + 339 x^{6} + 26 x^{5} - 142 x^{4} + 39 x^{3} + 14 x^{2} - 8 x + 1$	$15$	[15,0]	$61^{3}\cdot 397^{3}\cdot 42727^{2}$	$3$	$31.2069305978$	$190193.25219066103$			✓	$C_3\wr S_5$ (as 15T78)	trivial	$2$	$14$	$1917642.93854$
15.15.297...169.1	$x^{15} - x^{14} - 24 x^{13} + 41 x^{12} + 165 x^{11} - 405 x^{10} - 180 x^{9} + 963 x^{8} - 172 x^{7} - 909 x^{6} + 338 x^{5} + 359 x^{4} - 143 x^{3} - 47 x^{2} + 16 x - 1$	$15$	[15,0]	$19^{6}\cdot 293^{6}$	$2$	$31.4954986391$	$74.61233142048303$			?	$A_5$ (as 15T5)	trivial	$2$	$14$	$1854809.93846$
15.15.550...793.1	$x^{15} - 3 x^{14} - 13 x^{13} + 48 x^{12} + 35 x^{11} - 247 x^{10} + 98 x^{9} + 452 x^{8} - 449 x^{7} - 183 x^{6} + 412 x^{5} - 130 x^{4} - 61 x^{3} + 50 x^{2} - 12 x + 1$	$15$	[15,0]	$61^{5}\cdot 397^{3}\cdot 1021^{2}$	$3$	$32.814929733$	$62113.68242748981$			✓	$C_3\wr S_5$ (as 15T78)	trivial	$2$	$14$	$2739965.68081$
15.15.123...241.1	$x^{15} - 5 x^{14} - 9 x^{13} + 68 x^{12} - 10 x^{11} - 274 x^{10} + 184 x^{9} + 429 x^{8} - 405 x^{7} - 242 x^{6} + 311 x^{5} + 17 x^{4} - 83 x^{3} + 13 x^{2} + 5 x - 1$	$15$	[15,0]	$592661^{4}$	$1$	$34.6270127233$	$769.8447895517642$			?	$S_6$ (as 15T28)	trivial	$2$	$14$	$5917038.79116$
15.15.127...696.1	$x^{15} - 25 x^{13} - 27 x^{12} + 183 x^{11} + 358 x^{10} - 255 x^{9} - 1041 x^{8} - 456 x^{7} + 700 x^{6} + 710 x^{5} + 78 x^{4} - 157 x^{3} - 80 x^{2} - 15 x - 1$	$15$	[15,0]	$2^{18}\cdot 887^{6}$	$2$	$34.7060703466$	$84.23775875461075$			?	$A_5$ (as 15T5)	trivial	$2$	$14$	$5340385.5843$
15.15.262...593.1	$x^{15} - 36 x^{13} - 27 x^{12} + 459 x^{11} + 540 x^{10} - 2560 x^{9} - 3357 x^{8} + 7287 x^{7} + 8848 x^{6} - 11637 x^{5} - 9867 x^{4} + 10811 x^{3} + 3105 x^{2} - 4623 x + 989$	$15$	[15,0]	$3^{15}\cdot 11^{13}\cdot 23^{2}$	$3$	$36.4103868594$	$358.80911756371285$			?	$C_7^3:C_6$ (as 15T44)	trivial	$2$	$14$	$6722708.12403$
15.15.432...129.1	$x^{15} - 2 x^{14} - 33 x^{13} + 46 x^{12} + 402 x^{11} - 362 x^{10} - 2214 x^{9} + 1335 x^{8} + 5700 x^{7} - 2740 x^{6} - 6581 x^{5} + 2926 x^{4} + 2758 x^{3} - 1103 x^{2} - 373 x + 131$	$15$	[15,0]	$11^{12}\cdot 13^{10}$	$2$	$37.6480988096$	$37.648098809616535$		✓	?	$C_{15}$ (as 15T1)	trivial	$2$	$14$	$5243886.21648$
15.15.538...296.1	$x^{15} - x^{14} - 27 x^{13} + 48 x^{12} + 193 x^{11} - 437 x^{10} - 463 x^{9} + 1422 x^{8} + 309 x^{7} - 2017 x^{6} + 137 x^{5} + 1354 x^{4} - 184 x^{3} - 420 x^{2} + 40 x + 46$	$15$	[15,0]	$2^{12}\cdot 71^{6}\cdot 179^{4}$	$3$	$38.2021798004$	$196.2816437865785$			?	$S_6$ (as 15T28)	trivial	$2$	$14$	$24676628.3147$
15.15.555...904.1	$x^{15} - 2 x^{14} - 28 x^{13} + 22 x^{12} + 204 x^{11} - 144 x^{10} - 578 x^{9} + 424 x^{8} + 672 x^{7} - 448 x^{6} - 374 x^{5} + 192 x^{4} + 96 x^{3} - 32 x^{2} - 8 x + 2$	$15$	[15,0]	$2^{14}\cdot 37^{5}\cdot 7877^{3}$	$3$	$38.2796013577$	$1030.9618956446523$			?	$S_5 \times S_3$ (as 15T29)	trivial	$2$	$14$	$16148192.8484$
15.15.792...125.1	$x^{15} - 35 x^{13} - 18 x^{12} + 403 x^{11} + 337 x^{10} - 1759 x^{9} - 1406 x^{8} + 3449 x^{7} + 2048 x^{6} - 2850 x^{5} - 1077 x^{4} + 761 x^{3} + 123 x^{2} - 13 x - 1$	$15$	[15,0]	$5^{3}\cdot 229^{6}\cdot 353^{3}$	$3$	$39.199735342$	$635.7554561307359$			?	$S_5 \times S_3$ (as 15T29)	trivial	$2$	$14$	$11905413.804$
15.15.859...001.1	$x^{15} - 2 x^{14} - 32 x^{13} + 54 x^{12} + 347 x^{11} - 483 x^{10} - 1679 x^{9} + 1890 x^{8} + 3855 x^{7} - 3407 x^{6} - 4257 x^{5} + 2719 x^{4} + 2199 x^{3} - 896 x^{2} - 413 x + 97$	$15$	[15,0]	$7^{12}\cdot 199^{6}$	$2$	$39.4112003652$	$71.39616834300003$			?	$D_5\times C_3$ (as 15T3)	trivial	$2$	$14$	$15791011.3452$
15.15.117...849.1	$x^{15} - x^{14} - 27 x^{13} + 22 x^{12} + 230 x^{11} - 157 x^{10} - 760 x^{9} + 399 x^{8} + 1014 x^{7} - 476 x^{6} - 540 x^{5} + 238 x^{4} + 94 x^{3} - 33 x^{2} - 6 x + 1$	$15$	[15,0]	$7^{10}\cdot 401^{6}$	$2$	$40.2398582683$	$73.27753973791762$			?	$D_5\times C_3$ (as 15T3)	trivial	$2$	$14$	$13124357.1833$
15.15.173...000.1	$x^{15} - 30 x^{13} + 360 x^{11} - 12 x^{10} - 2200 x^{9} + 240 x^{8} + 7200 x^{7} - 1680 x^{6} - 11980 x^{5} + 4800 x^{4} + 7800 x^{3} - 4800 x^{2} + 400 x + 104$	$15$	[15,0]	$2^{12}\cdot 5^{15}\cdot 7^{12}$	$3$	$41.2926193649$	$56.09031360603209$			?	$F_5\times C_3$ (as 15T8)	trivial	$2$	$14$	$22293487.2915$
15.15.205...617.1	$x^{15} - 2 x^{14} - 31 x^{13} + 56 x^{12} + 340 x^{11} - 528 x^{10} - 1654 x^{9} + 2135 x^{8} + 3636 x^{7} - 3826 x^{6} - 3451 x^{5} + 2550 x^{4} + 1492 x^{3} - 478 x^{2} - 258 x - 25$	$15$	[15,0]	$11^{5}\cdot 19^{6}\cdot 43^{7}$	$3$	$41.7751112097$	$94.79978902930111$			?	$D_5\times S_3$ (as 15T7)	trivial	$2$	$14$	$23004967.3416$
15.15.342...000.1	$x^{15} - 25 x^{13} - 2 x^{12} + 229 x^{11} + 40 x^{10} - 981 x^{9} - 228 x^{8} + 2103 x^{7} + 546 x^{6} - 2175 x^{5} - 568 x^{4} + 923 x^{3} + 198 x^{2} - 120 x - 8$	$15$	[15,0]	$2^{18}\cdot 5^{6}\cdot 307^{6}$	$3$	$43.2194610327$	$110.81516141756055$				$S_5$ (as 15T10)	trivial	$2$	$14$	$34611808.3905$
15.15.365...000.1	$x^{15} - 3 x^{14} - 27 x^{13} + 85 x^{12} + 201 x^{11} - 751 x^{10} - 255 x^{9} + 2109 x^{8} - 473 x^{7} - 2181 x^{6} + 883 x^{5} + 715 x^{4} - 261 x^{3} - 69 x^{2} + 19 x - 1$	$15$	[15,0]	$2^{16}\cdot 5^{6}\cdot 17^{6}\cdot 23^{6}$	$4$	$43.4067596623$	$99.2601763557667$			?	$S_5$ (as 15T10)	trivial	$2$	$14$	$84519303.959$
15.15.987...441.1	$x^{15} - x^{14} - 28 x^{13} + 23 x^{12} + 276 x^{11} - 182 x^{10} - 1193 x^{9} + 592 x^{8} + 2307 x^{7} - 956 x^{6} - 1721 x^{5} + 908 x^{4} + 316 x^{3} - 262 x^{2} + 42 x - 1$	$15$	[15,0]	$61^{14}$	$1$	$46.3775546666$	$46.37755466664615$		✓		$C_{15}$ (as 15T1)	trivial	$2$	$14$	$87521268.0527$
15.15.115...424.1	$x^{15} - 7 x^{14} - 17 x^{13} + 228 x^{12} - 217 x^{11} - 2256 x^{10} + 5392 x^{9} + 5898 x^{8} - 30661 x^{7} + 17242 x^{6} + 46052 x^{5} - 67465 x^{4} + 22925 x^{3} + 4610 x^{2} - 1755 x - 169$	$15$	[15,0]	$2^{10}\cdot 17^{9}\cdot 37^{7}$	$3$	$46.8579719257$	$80.83961133855618$			?	$F_5 \times S_3$ (as 15T11)	trivial	$2$	$14$	$57356244.8884$
15.15.150...125.1	$x^{15} - 35 x^{13} + 455 x^{11} - 70 x^{10} - 2800 x^{9} + 1225 x^{8} + 8575 x^{7} - 6475 x^{6} - 11375 x^{5} + 12250 x^{4} + 3500 x^{3} - 6125 x^{2} + 875$	$15$	[15,0]	$3^{6}\cdot 5^{15}\cdot 7^{14}$	$3$	$47.7064034771$	$67.78510966855065$			?	$F_5\times C_3$ (as 15T8)	trivial	$2$	$14$	$63554489.595$
15.15.159...201.1	$x^{15} - 4 x^{14} - 10 x^{13} + 58 x^{12} - 6 x^{11} - 249 x^{10} + 241 x^{9} + 323 x^{8} - 560 x^{7} + 28 x^{6} + 348 x^{5} - 181 x^{4} - 19 x^{3} + 39 x^{2} - 11 x + 1$	$15$	[15,0]	$127^{2}\cdot 401^{6}\cdot 487^{2}$	$3$	$47.8742635937$	$31317.996729628994$			✓	$C_3\wr D_5$ (as 15T46)	trivial	$2$	$14$	$57614157.1505$
15.15.168...625.1	$x^{15} - 5 x^{14} - 30 x^{13} + 150 x^{12} + 305 x^{11} - 1539 x^{10} - 1350 x^{9} + 6825 x^{8} + 3115 x^{7} - 13645 x^{6} - 4757 x^{5} + 11735 x^{4} + 3765 x^{3} - 3500 x^{2} - 770 x + 301$	$15$	[15,0]	$5^{24}\cdot 7^{10}$	$2$	$48.0563409609$	$48.05634096094402$		✓	?	$C_{15}$ (as 15T1)	trivial	$2$	$14$	$87241496.8826$
15.15.192...521.1	$x^{15} - 2 x^{14} - 43 x^{13} + 100 x^{12} + 622 x^{11} - 1668 x^{10} - 3380 x^{9} + 11013 x^{8} + 4836 x^{7} - 27366 x^{6} + 3839 x^{5} + 23300 x^{4} - 6520 x^{3} - 6663 x^{2} + 1723 x + 197$	$15$	[15,0]	$11^{12}\cdot 19^{10}$	$2$	$48.4860213922$	$48.486021392203654$		✓	?	$C_{15}$ (as 15T1)	trivial	$2$	$14$	$39634245.0922$
15.15.196...617.1	$x^{15} - 48 x^{13} - 32 x^{12} + 882 x^{11} + 1176 x^{10} - 7303 x^{9} - 15390 x^{8} + 21330 x^{7} + 81960 x^{6} + 35883 x^{5} - 123750 x^{4} - 208680 x^{3} - 143280 x^{2} - 47760 x - 6368$	$15$	[15,0]	$3^{15}\cdot 11^{13}\cdot 199^{2}$	$3$	$48.5484451457$	$1525.9508812936347$			?	$C_7^3:C_6$ (as 15T44)	trivial	$2$	$14$	$63974103.6431$
15.15.237...216.1	$x^{15} - 5 x^{14} - 28 x^{13} + 152 x^{12} + 176 x^{11} - 1487 x^{10} + 469 x^{9} + 5132 x^{8} - 5065 x^{7} - 4815 x^{6} + 7386 x^{5} + 349 x^{4} - 2933 x^{3} + 387 x^{2} + 267 x + 13$	$15$	[15,0]	$2^{6}\cdot 7^{10}\cdot 331^{6}$	$3$	$49.174719251$	$277.9525650999282$			?	$\GL(2,4)$ (as 15T16)	trivial	$2$	$14$	$105110387.126$
15.15.239...032.1	$x^{15} - 24 x^{13} - 27 x^{12} + 167 x^{11} + 341 x^{10} - 181 x^{9} - 864 x^{8} - 357 x^{7} + 621 x^{6} + 583 x^{5} + 16 x^{4} - 170 x^{3} - 81 x^{2} - 15 x - 1$	$15$	[15,0]	$2^{16}\cdot 3^{4}\cdot 37^{2}\cdot 53^{9}$	$4$	$49.2028298634$	$2377.988328757685$			?	$C_3\wr F_5$ (as 15T56)	trivial	$2$	$14$	$122000230.472$
15.15.246...000.1	$x^{15} - 30 x^{13} + 360 x^{11} - 26 x^{10} - 2200 x^{9} + 520 x^{8} + 7200 x^{7} - 3640 x^{6} - 11790 x^{5} + 10400 x^{4} + 5900 x^{3} - 10400 x^{2} + 4200 x - 496$	$15$	[15,0]	$2^{18}\cdot 5^{15}\cdot 79^{5}$	$3$	$49.2888134008$	$169.81992506527055$			?	$C_5^2:(C_4\times S_3)$ (as 15T27)	trivial	$2$	$14$	$303823085.333$
15.15.284...376.1	$x^{15} - 2 x^{14} - 41 x^{13} + 125 x^{12} + 437 x^{11} - 2057 x^{10} + 153 x^{9} + 10144 x^{8} - 16303 x^{7} + 721 x^{6} + 23221 x^{5} - 28390 x^{4} + 16191 x^{3} - 4896 x^{2} + 736 x - 41$	$15$	[15,0]	$2^{6}\cdot 7^{10}\cdot 11^{6}\cdot 31^{6}$	$4$	$49.7636747828$	$283.52298751771315$			?	$\GL(2,4)$ (as 15T16)	trivial	$2$	$14$	$94463462.964$
15.15.497...584.1	$x^{15} - 3 x^{14} - 36 x^{13} + 166 x^{12} + 118 x^{11} - 1666 x^{10} + 2156 x^{9} + 2800 x^{8} - 7863 x^{7} + 2941 x^{6} + 4612 x^{5} - 3330 x^{4} - 348 x^{3} + 428 x^{2} + 16 x - 8$	$15$	[15,0]	$2^{18}\cdot 11^{6}\cdot 101^{7}$	$3$	$51.6586489011$	$83.99053681782655$				$D_5\times S_3$ (as 15T7)	trivial	$2$	$14$	$754734243.281$
15.15.630...701.1	$x^{15} - 3 x^{14} - 33 x^{13} + 80 x^{12} + 411 x^{11} - 813 x^{10} - 2371 x^{9} + 4050 x^{8} + 6279 x^{7} - 10380 x^{6} - 6255 x^{5} + 12105 x^{4} - 144 x^{3} - 4041 x^{2} + 1350 x - 123$	$15$	[15,0]	$3^{21}\cdot 11^{6}\cdot 23^{7}$	$3$	$52.4807243717$	$157.33832980485687$			?	$A_5 \times S_3$ (as 15T23)	trivial	$2$	$14$	$194681108.326$
15.15.138...697.1	$x^{15} - 75 x^{13} - 123 x^{12} + 1854 x^{11} + 5532 x^{10} - 15374 x^{9} - 79524 x^{8} - 19527 x^{7} + 386911 x^{6} + 652257 x^{5} - 170775 x^{4} - 1591761 x^{3} - 1909161 x^{2} - 991875 x - 197317$	$15$	[15,0]	$3^{15}\cdot 11^{13}\cdot 23^{4}$	$3$	$55.3081337984$	$358.80911756371285$			?	$C_3^4:C_{10}$ (as 15T33)	trivial	$2$	$14$	$164409576.613$
15.15.138...697.2	$x^{15} - 60 x^{13} - 63 x^{12} + 1341 x^{11} + 2727 x^{10} - 12674 x^{9} - 40869 x^{8} + 31254 x^{7} + 243271 x^{6} + 196857 x^{5} - 393162 x^{4} - 847458 x^{3} - 566559 x^{2} - 111090 x + 12167$	$15$	[15,0]	$3^{15}\cdot 11^{13}\cdot 23^{4}$	$3$	$55.3081337984$	$358.80911756371285$			?	$C_3^4:C_{10}$ (as 15T33)	trivial	$2$	$14$	$181222525.173$
15.15.207...625.1	$x^{15} - 45 x^{13} - 10 x^{12} + 690 x^{11} + 252 x^{10} - 4560 x^{9} - 1965 x^{8} + 14370 x^{7} + 6350 x^{6} - 21975 x^{5} - 8970 x^{4} + 15050 x^{3} + 4575 x^{2} - 3405 x - 107$	$15$	[15,0]	$3^{20}\cdot 5^{24}$	$2$	$56.8216289595$	$56.82162895952691$		✓	?	$C_{15}$ (as 15T1)	trivial	$2$	$14$	$111059719.436$
15.15.222...489.1	$x^{15} - 2 x^{14} - 47 x^{13} + 44 x^{12} + 796 x^{11} - 86 x^{10} - 5782 x^{9} - 2469 x^{8} + 18376 x^{7} + 14370 x^{6} - 21477 x^{5} - 22698 x^{4} + 4468 x^{3} + 10091 x^{2} + 2903 x + 211$	$15$	[15,0]	$7^{10}\cdot 31^{12}$	$2$	$57.0805367648$	$57.08053676475076$		✓	?	$C_{15}$ (as 15T1)	trivial	$2$	$14$	$109278274.626$
15.15.346...000.1	$x^{15} - 35 x^{13} + 440 x^{11} - 78 x^{10} - 2525 x^{9} + 1190 x^{8} + 6850 x^{7} - 5260 x^{6} - 7469 x^{5} + 7750 x^{4} + 1725 x^{3} - 2750 x^{2} - 100 x + 260$	$15$	[15,0]	$2^{18}\cdot 5^{19}\cdot 37^{5}$	$3$	$58.7938511194$	$412.6357183770765$			?	$C_9^2\times C_{54}$ (as 15T49)	trivial	$2$	$14$	$733765148.28$
15.15.401...161.1	$x^{15} - 48 x^{13} - 4 x^{12} + 720 x^{11} - 111 x^{10} - 4259 x^{9} + 1809 x^{8} + 10989 x^{7} - 7125 x^{6} - 11826 x^{5} + 10260 x^{4} + 3483 x^{3} - 4617 x^{2} + 486 x + 243$	$15$	[15,0]	$3^{19}\cdot 83\cdot 401^{6}$	$3$	$59.3676526836$	$2309.9103214362067$			?	$S_3\wr D_5$ (as 15T86)	trivial	$2$	$14$	$443934700.445$
15.15.428...133.1	$x^{15} - 39 x^{13} - 34 x^{12} + 531 x^{11} + 789 x^{10} - 2982 x^{9} - 5922 x^{8} + 6669 x^{7} + 18631 x^{6} - 2295 x^{5} - 23463 x^{4} - 7569 x^{3} + 7290 x^{2} + 2151 x - 831$	$15$	[15,0]	$3^{23}\cdot 19^{3}\cdot 37\cdot 2617^{3}$	$4$	$59.6271662513$				?	$S_3^5.S_5$ (as 15T93)	trivial	$2$	$14$	$460212913.092$
15.15.430...000.1	$x^{15} - 35 x^{13} + 425 x^{11} - 76 x^{10} - 2350 x^{9} + 820 x^{8} + 6225 x^{7} - 2580 x^{6} - 7880 x^{5} + 2750 x^{4} + 4525 x^{3} - 500 x^{2} - 1100 x - 200$	$15$	[15,0]	$2^{12}\cdot 5^{17}\cdot 13^{10}$	$3$	$59.6511612956$	$290.113545079841$			?	$C_5^3:C_{12}$ (as 15T38)	trivial	$2$	$14$	$633057748.364$
15.15.725...833.1	$x^{15} - 48 x^{13} - 18 x^{12} + 837 x^{11} + 525 x^{10} - 6713 x^{9} - 5481 x^{8} + 25770 x^{7} + 24378 x^{6} - 45144 x^{5} - 45111 x^{4} + 35431 x^{3} + 35937 x^{2} - 10164 x - 10285$	$15$	[15,0]	$3^{20}\cdot 11^{4}\cdot 61^{3}\cdot 397^{3}$	$4$	$61.7576066956$	$6741.921612265912$			?	$C_3^4:S_5$ (as 15T63)	trivial	$2$	$14$	$741196329.608$
15.15.897...000.1	$x^{15} - 3 x^{14} - 37 x^{13} + 91 x^{12} + 483 x^{11} - 829 x^{10} - 2993 x^{9} + 2941 x^{8} + 9853 x^{7} - 3339 x^{6} - 16675 x^{5} - 2811 x^{4} + 11401 x^{3} + 6327 x^{2} - 59 x - 401$	$15$	[15,0]	$2^{14}\cdot 3^{6}\cdot 5^{6}\cdot 37^{10}$	$4$	$62.6420048698$	$110.95790593274286$			?	$C_{15} : C_4$ (as 15T6)	trivial	$2$	$14$	$1159585432.29$
15.15.100...000.1	$x^{15} - 40 x^{13} + 605 x^{11} - 92 x^{10} - 4450 x^{9} + 1870 x^{8} + 16825 x^{7} - 12460 x^{6} - 29575 x^{5} + 32500 x^{4} + 14105 x^{3} - 26650 x^{2} + 5980 x + 1352$	$15$	[15,0]	$2^{12}\cdot 5^{15}\cdot 7^{10}\cdot 13^{4}$	$4$	$63.1312305754$				?	$C_5^3:C_{12}$ (as 15T38)	trivial	$2$	$14$	$557433481.465$