| 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 |
| 16.0.326...296.1 |
$x^{16} - 8 x^{15} + 36 x^{14} - 110 x^{13} + 251 x^{12} - 446 x^{11} + 634 x^{10} - 750 x^{9} + 765 x^{8} - 684 x^{7} + 536 x^{6} - 364 x^{5} + 216 x^{4} - 112 x^{3} + 48 x^{2} - 16 x + 4$ |
$16$ |
[0,8] |
$2^{24}\cdot 41^{7}$ |
$2$ |
$14.3594541351$ |
$18.110770276274835$ |
|
|
|
$D_{16}$ (as 16T56) |
trivial |
$4$ |
$7$ |
$1060.86434877$ |
| 16.0.154...573.1 |
$x^{16} - x^{15} - x^{14} + 8 x^{13} + 15 x^{12} + 11 x^{11} + 36 x^{10} + 71 x^{9} + 58 x^{8} + 7 x^{7} - 18 x^{6} - 23 x^{5} - 18 x^{4} - 2 x^{3} + 5 x^{2} + x + 1$ |
$16$ |
[0,8] |
$3^{8}\cdot 157^{7}$ |
$2$ |
$15.8221947316$ |
$21.702534414210707$ |
|
|
|
$D_{16}$ (as 16T56) |
trivial |
$6$ |
$7$ |
$3380.64486449$ |
| 16.0.203...173.1 |
$x^{16} - 3 x^{15} + 2 x^{14} - 3 x^{13} + 6 x^{12} + x^{11} + 7 x^{10} - 29 x^{9} + 63 x^{8} - 77 x^{7} + 24 x^{6} + 37 x^{5} - 56 x^{4} + 29 x^{3} + 11 x^{2} - 17 x + 5$ |
$16$ |
[0,8] |
$11^{8}\cdot 37^{7}$ |
$2$ |
$16.0984697869$ |
$20.174241001832016$ |
|
|
? |
$D_{16}$ (as 16T56) |
trivial |
$2$ |
$7$ |
$1308.24841332$ |
| 16.2.334...784.1 |
$x^{16} - x^{14} + 4 x^{12} - 5 x^{10} + 12 x^{8} - 9 x^{6} - 5 x^{4} - 36 x^{2} - 4$ |
$16$ |
[2,7] |
$-\,2^{22}\cdot 41^{8}$ |
$2$ |
$16.6076495689$ |
$18.110770276274835$ |
|
|
|
$D_{16}$ (as 16T56) |
trivial |
$2$ |
$8$ |
$4412.26969911$ |
| 16.2.684...491.1 |
$x^{16} - x^{15} + 2 x^{14} - x^{13} + 9 x^{12} + 2 x^{11} + 15 x^{10} + 12 x^{8} + 4 x^{6} - 19 x^{5} - 17 x^{4} - 33 x^{3} - 4 x^{2} - 10 x - 1$ |
$16$ |
[2,7] |
$-\,11^{7}\cdot 37^{8}$ |
$2$ |
$17.3664144712$ |
$20.174241001832016$ |
|
|
? |
$D_{16}$ (as 16T56) |
trivial |
$2$ |
$8$ |
$3259.86703856$ |
| 16.2.221...147.1 |
$x^{16} - x^{15} + 2 x^{13} + x^{12} - 14 x^{11} + 51 x^{10} - 98 x^{9} + 123 x^{8} - 83 x^{7} - 18 x^{6} + 139 x^{5} - 196 x^{4} + 161 x^{3} - 78 x^{2} + 20 x - 1$ |
$16$ |
[2,7] |
$-\,13^{8}\cdot 43^{7}$ |
$2$ |
$18.6902076074$ |
$23.643180835073778$ |
|
|
|
$D_{16}$ (as 16T56) |
trivial |
$2$ |
$8$ |
$13419.93728$ |
| 16.0.733...717.1 |
$x^{16} - 8 x^{14} - 9 x^{13} + 35 x^{12} + 60 x^{11} - 40 x^{10} - 126 x^{9} + 53 x^{8} + 177 x^{7} + 41 x^{6} - 63 x^{5} - 62 x^{4} - 30 x^{3} + 16 x^{2} + 27 x + 9$ |
$16$ |
[0,8] |
$13^{7}\cdot 43^{8}$ |
$2$ |
$20.1411583742$ |
$23.643180835073778$ |
|
|
|
$D_{16}$ (as 16T56) |
trivial |
$2$ |
$7$ |
$11232.2986562$ |
| 16.2.807...987.1 |
$x^{16} - 2 x^{15} + 5 x^{14} - 6 x^{13} + 14 x^{12} + 3 x^{11} + 25 x^{10} + 27 x^{9} + 34 x^{8} + 78 x^{7} + 111 x^{6} + 191 x^{5} + 206 x^{4} + 199 x^{3} + 133 x^{2} + 53 x + 17$ |
$16$ |
[2,7] |
$-\,3^{7}\cdot 157^{8}$ |
$2$ |
$20.2623762351$ |
$21.702534414210707$ |
|
|
|
$D_{16}$ (as 16T56) |
trivial |
$2$ |
$8$ |
$18124.699339$ |
| 16.0.836...776.1 |
$x^{16} - 4 x^{14} + 6 x^{12} + 19 x^{8} + 62 x^{4} + 44 x^{2} + 41$ |
$16$ |
[0,8] |
$2^{32}\cdot 41^{7}$ |
$2$ |
$20.3073347862$ |
$25.612496949731394$ |
|
|
|
$D_{16}$ (as 16T56) |
trivial |
$4$ |
$7$ |
$16401.7169889$ |
| 16.0.236...848.18 |
$x^{16} - 12 x^{12} + 74 x^{8} - 96 x^{6} + 40 x^{4} + 16 x^{2} + 2$ |
$16$ |
[0,8] |
$2^{71}$ |
$1$ |
$21.668088750990282$ |
$23.62921833503199$ |
|
|
? |
$D_{16}$ (as 16T56) |
trivial |
$4$ |
$7$ |
$63561.22933029073$ |
| 16.2.353...183.1 |
$x^{16} - 3 x^{15} + 9 x^{14} - 9 x^{13} - 6 x^{12} + 21 x^{11} - 39 x^{10} + 6 x^{9} + 52 x^{8} - 24 x^{7} + 18 x^{6} + 18 x^{5} - 75 x^{4} - 30 x^{3} + 39 x^{2} + 30 x + 1$ |
$16$ |
[2,7] |
$-\,17^{8}\cdot 47^{7}$ |
$2$ |
$22.2211879922$ |
$28.26658805020514$ |
|
|
|
$D_{16}$ (as 16T56) |
trivial |
$2$ |
$8$ |
$37336.2687539$ |
| 16.2.472...696.2 |
$x^{16} - 4 x^{8} - 4$ |
$16$ |
[2,7] |
$-\,2^{72}$ |
$1$ |
$22.627416998$ |
$23.62921833503199$ |
|
|
? |
$D_{16}$ (as 16T56) |
trivial |
$2$ |
$8$ |
$56021.1886902$ |
| 16.0.977...153.1 |
$x^{16} - 3 x^{15} + 19 x^{13} - 18 x^{12} - 24 x^{11} + 64 x^{10} - 36 x^{9} - 48 x^{8} + 80 x^{7} - 42 x^{6} + 90 x^{5} + 36 x^{4} - 21 x^{3} + 162 x^{2} - 68 x + 51$ |
$16$ |
[0,8] |
$17^{7}\cdot 47^{8}$ |
$2$ |
$23.6793802756$ |
$28.26658805020514$ |
|
|
|
$D_{16}$ (as 16T56) |
$[5]$ |
$2$ |
$7$ |
$17824.0536167$ |
| 16.0.152...561.1 |
$x^{16} - 8 x^{15} + 32 x^{14} - 84 x^{13} + 180 x^{12} - 352 x^{11} + 598 x^{10} - 812 x^{9} + 816 x^{8} - 548 x^{7} + 116 x^{6} + 248 x^{5} - 194 x^{4} - 78 x^{3} + 432 x^{2} - 347 x + 213$ |
$16$ |
[0,8] |
$23^{8}\cdot 41^{7}$ |
$2$ |
$24.3476390805$ |
$30.708305065568176$ |
|
|
|
$D_{16}$ (as 16T56) |
$[3]$ |
$2$ |
$7$ |
$36538.9775693$ |
| 16.2.271...087.1 |
$x^{16} - 5 x^{15} + 8 x^{14} - x^{13} + 11 x^{11} - 38 x^{10} - 2 x^{9} + 58 x^{8} - 28 x^{7} - 59 x^{6} + 46 x^{5} + 66 x^{4} - 32 x^{3} - 55 x^{2} + 38 x + 1$ |
$16$ |
[2,7] |
$-\,23^{7}\cdot 41^{8}$ |
$2$ |
$25.2434004394$ |
$30.708305065568176$ |
|
|
|
$D_{16}$ (as 16T56) |
trivial |
$2$ |
$8$ |
$151970.25308$ |
| 16.2.422...443.1 |
$x^{16} - 6 x^{15} + 24 x^{14} - 66 x^{13} + 146 x^{12} - 224 x^{11} + 232 x^{10} - 94 x^{9} - 104 x^{8} + 202 x^{7} - 50 x^{6} - 288 x^{5} + 519 x^{4} - 428 x^{3} + 96 x^{2} + 88 x - 64$ |
$16$ |
[2,7] |
$-\,17^{8}\cdot 67^{7}$ |
$2$ |
$25.9496907661$ |
$33.74907406137241$ |
|
|
|
$D_{16}$ (as 16T56) |
trivial |
$2$ |
$8$ |
$1184740.23524$ |
| 16.0.533...861.1 |
$x^{16} - 4 x^{15} + 15 x^{14} - 23 x^{13} + 24 x^{12} + 20 x^{11} - 36 x^{10} + 52 x^{9} + 64 x^{8} - 56 x^{7} + 57 x^{6} + 2 x^{5} + 165 x^{4} - 80 x^{3} + 45 x^{2} + 26 x + 169$ |
$16$ |
[0,8] |
$19^{8}\cdot 61^{7}$ |
$2$ |
$26.3304695116$ |
$34.044089061098404$ |
|
|
|
$D_{16}$ (as 16T56) |
trivial |
$2$ |
$7$ |
$141692.453566$ |
| 16.0.166...393.1 |
$x^{16} - 7 x^{15} + 19 x^{14} - 12 x^{13} - 45 x^{12} + 145 x^{11} - 132 x^{10} - 71 x^{9} + 377 x^{8} - 372 x^{7} + 61 x^{6} + 335 x^{5} - 269 x^{4} + 62 x^{3} + 180 x^{2} - 80 x + 64$ |
$16$ |
[0,8] |
$17^{7}\cdot 67^{8}$ |
$2$ |
$28.2721479235$ |
$33.74907406137241$ |
|
|
|
$D_{16}$ (as 16T56) |
trivial |
$2$ |
$7$ |
$565586.068975$ |
| 16.2.171...659.1 |
$x^{16} - 5 x^{15} + x^{14} + 23 x^{13} - 22 x^{12} - 32 x^{11} + 106 x^{10} - 34 x^{9} - 114 x^{8} + 137 x^{7} + 95 x^{6} - 245 x^{5} + 106 x^{4} + 191 x^{3} - 190 x^{2} + 64 x - 1$ |
$16$ |
[2,7] |
$-\,19^{7}\cdot 61^{8}$ |
$2$ |
$28.3217195476$ |
$34.044089061098404$ |
|
|
|
$D_{16}$ (as 16T56) |
trivial |
$2$ |
$8$ |
$519192.104126$ |
| 16.2.604...088.38 |
$x^{16} - 8 x^{8} - 2$ |
$16$ |
[2,7] |
$-\,2^{79}$ |
$1$ |
$30.64330498235436$ |
$32.0$ |
|
|
|
$D_{16}$ (as 16T56) |
trivial |
$2$ |
$8$ |
$1187165.9797456535$ |
| 16.0.604...088.16 |
$x^{16} - 16 x^{12} + 192 x^{8} - 32 x^{4} + 2$ |
$16$ |
[0,8] |
$2^{79}$ |
$1$ |
$30.64330498235436$ |
$32.0$ |
|
|
|
$D_{16}$ (as 16T56) |
trivial |
$2$ |
$7$ |
$1346949.8033860754$ |
| 16.2.303...403.1 |
$x^{16} - 8 x^{15} + 23 x^{14} - 5 x^{13} - 135 x^{12} + 284 x^{11} + 123 x^{10} - 1204 x^{9} + 1099 x^{8} + 1747 x^{7} - 3431 x^{6} - 398 x^{5} + 4310 x^{4} - 1715 x^{3} - 650 x^{2} + 1061 x - 383$ |
$16$ |
[2,7] |
$-\,29^{8}\cdot 67^{7}$ |
$2$ |
$33.8927435187$ |
$44.07947368106838$ |
|
|
? |
$D_{16}$ (as 16T56) |
trivial |
$2$ |
$8$ |
$1464412.76758$ |
| 16.0.700...069.1 |
$x^{16} - 19 x^{14} + 149 x^{12} - 600 x^{10} + 1272 x^{8} - 1630 x^{6} + 3984 x^{4} - 12529 x^{2} + 15341$ |
$16$ |
[0,8] |
$29^{7}\cdot 67^{8}$ |
$2$ |
$35.7138380924$ |
$44.07947368106838$ |
|
|
? |
$D_{16}$ (as 16T56) |
trivial |
$2$ |
$7$ |
$889014.738951$ |
| 16.0.103...152.185 |
$x^{16} - 16 x^{14} + 96 x^{12} - 224 x^{10} + 278 x^{8} - 288 x^{6} + 520 x^{4} - 1072 x^{2} + 867$ |
$16$ |
[0,8] |
$2^{72}\cdot 3^{7}$ |
$2$ |
$36.59110539258121$ |
$40.927006699413475$ |
|
|
|
$D_{16}$ (as 16T56) |
trivial |
$2$ |
$7$ |
$34547802.904250436$ |
| 16.0.103...152.186 |
$x^{16} + 16 x^{14} + 96 x^{12} + 224 x^{10} + 278 x^{8} + 288 x^{6} + 520 x^{4} + 1072 x^{2} + 867$ |
$16$ |
[0,8] |
$2^{72}\cdot 3^{7}$ |
$2$ |
$36.59110539258121$ |
$40.927006699413475$ |
|
|
|
$D_{16}$ (as 16T56) |
trivial |
$2$ |
$7$ |
$2396591.3101986866$ |
| 16.2.154...728.54 |
$x^{16} + 12 x^{12} - 16 x^{10} - 66 x^{8} - 96 x^{6} - 8 x^{4} - 48 x^{2} - 18$ |
$16$ |
[2,7] |
$-\,2^{71}\cdot 3^{8}$ |
$2$ |
$37.53023061962683$ |
$40.927006699413475$ |
|
|
|
$D_{16}$ (as 16T56) |
trivial |
$2$ |
$8$ |
$3156209.8516675537$ |
| 16.2.154...728.57 |
$x^{16} + 12 x^{12} + 16 x^{10} - 66 x^{8} + 96 x^{6} - 8 x^{4} + 48 x^{2} - 18$ |
$16$ |
[2,7] |
$-\,2^{71}\cdot 3^{8}$ |
$2$ |
$37.53023061962683$ |
$40.927006699413475$ |
|
|
|
$D_{16}$ (as 16T56) |
trivial |
$2$ |
$8$ |
$45498001.856154725$ |
| 16.0.154...728.17 |
$x^{16} - 108 x^{12} + 5994 x^{8} - 23328 x^{6} + 29160 x^{4} + 34992 x^{2} + 13122$ |
$16$ |
[0,8] |
$2^{71}\cdot 3^{8}$ |
$2$ |
$37.53023061962683$ |
$40.927006699413475$ |
|
|
? |
$D_{16}$ (as 16T56) |
$[2]$ |
$4$ |
$7$ |
$2932509.45141461$ |
| 16.2.309...456.8 |
$x^{16} - 324 x^{8} - 26244$ |
$16$ |
[2,7] |
$-\,2^{72}\cdot 3^{8}$ |
$2$ |
$39.191835884530846$ |
$40.927006699413475$ |
|
|
? |
$D_{16}$ (as 16T56) |
trivial |
$2$ |
$8$ |
$5169272.748324013$ |
| 16.0.944...913.1 |
$x^{16} - x^{15} + x^{14} - 32 x^{13} + 17 x^{12} - 47 x^{11} + 303 x^{10} + 108 x^{9} + 183 x^{8} + 19 x^{7} - 1081 x^{6} + 1522 x^{5} - 280 x^{4} + 328 x^{3} + 2192 x^{2} - 3648 x + 2304$ |
$16$ |
[0,8] |
$43^{8}\cdot 97^{7}$ |
$2$ |
$48.522912591$ |
$64.5832795698701$ |
|
|
|
$D_{16}$ (as 16T56) |
trivial |
$2$ |
$7$ |
$120368330.892$ |
| 16.0.132...456.210 |
$x^{16} - 16 x^{14} + 88 x^{12} + 256 x^{10} + 1748 x^{8} - 128 x^{6} + 1632 x^{4} - 288 x^{2} + 486$ |
$16$ |
[0,8] |
$2^{79}\cdot 3^{7}$ |
$2$ |
$49.553707446455554$ |
$53.07576114126626$ |
|
|
|
$D_{16}$ (as 16T56) |
trivial |
$2$ |
$7$ |
$39769824.45421572$ |
| 16.0.132...456.241 |
$x^{16} + 16 x^{14} + 88 x^{12} - 256 x^{10} + 1748 x^{8} + 128 x^{6} + 1632 x^{4} + 288 x^{2} + 486$ |
$16$ |
[0,8] |
$2^{79}\cdot 3^{7}$ |
$2$ |
$49.553707446455554$ |
$53.07576114126626$ |
|
|
|
$D_{16}$ (as 16T56) |
trivial |
$2$ |
$7$ |
$559407468.2466$ |
| 16.2.213...827.1 |
$x^{16} - 3 x^{15} + 2 x^{14} + 28 x^{13} - 80 x^{12} - 200 x^{11} + 450 x^{10} + 1182 x^{9} - 736 x^{8} - 3960 x^{7} - 3584 x^{6} + 8672 x^{5} + 15269 x^{4} - 4171 x^{3} - 28458 x^{2} + 2916 x + 13824$ |
$16$ |
[2,7] |
$-\,43^{7}\cdot 97^{8}$ |
$2$ |
$51.0538286514$ |
$64.5832795698701$ |
|
|
|
$D_{16}$ (as 16T56) |
trivial |
$2$ |
$8$ |
$1122360429.86$ |
| 16.2.255...027.1 |
$x^{16} - 2 x^{15} - 13 x^{14} + 9 x^{13} - 18 x^{12} + 393 x^{11} - 327 x^{10} + 858 x^{9} - 2379 x^{8} - 189 x^{7} - 1866 x^{6} + 10311 x^{5} - 21710 x^{4} - 14516 x^{3} - 10408 x^{2} - 3120 x - 288$ |
$16$ |
[2,7] |
$-\,17^{15}\cdot 19^{7}$ |
$2$ |
$51.6417040169$ |
$62.07584846190154$ |
|
|
|
$D_{16}$ (as 16T56) |
$[4]$ |
$2$ |
$8$ |
$200097097.264$ |
| 16.2.396...368.59 |
$x^{16} - 648 x^{8} - 13122$ |
$16$ |
[2,7] |
$-\,2^{79}\cdot 3^{8}$ |
$2$ |
$53.07576114126626$ |
$55.42562584220407$ |
|
|
|
$D_{16}$ (as 16T56) |
trivial |
$2$ |
$8$ |
$69856145.19661605$ |
| 16.2.396...368.205 |
$x^{16} + 48 x^{12} - 32 x^{10} - 216 x^{8} - 768 x^{6} - 608 x^{4} - 1152 x^{2} - 648$ |
$16$ |
[2,7] |
$-\,2^{79}\cdot 3^{8}$ |
$2$ |
$53.07576114126626$ |
$53.07576114126626$ |
|
|
|
$D_{16}$ (as 16T56) |
trivial |
$2$ |
$8$ |
$1282403396.3975446$ |
| 16.2.396...368.209 |
$x^{16} + 48 x^{12} + 32 x^{10} - 216 x^{8} + 768 x^{6} - 608 x^{4} + 1152 x^{2} - 648$ |
$16$ |
[2,7] |
$-\,2^{79}\cdot 3^{8}$ |
$2$ |
$53.07576114126626$ |
$53.07576114126626$ |
|
|
|
$D_{16}$ (as 16T56) |
trivial |
$2$ |
$8$ |
$91169605.0717327$ |
| 16.0.396...368.587 |
$x^{16} - 144 x^{12} + 15552 x^{8} - 23328 x^{4} + 13122$ |
$16$ |
[0,8] |
$2^{79}\cdot 3^{8}$ |
$2$ |
$53.07576114126626$ |
$55.42562584220407$ |
|
|
? |
$D_{16}$ (as 16T56) |
$[2]$ |
$2$ |
$7$ |
$39629134.69692342$ |
| 16.0.572...629.1 |
$x^{16} - 3 x^{15} - 5 x^{14} - 5 x^{13} + 69 x^{12} + 157 x^{11} + 2 x^{10} - 660 x^{9} - 1443 x^{8} + 323 x^{7} + 16030 x^{6} + 40365 x^{5} + 57643 x^{4} + 26263 x^{3} - 55032 x^{2} - 57305 x + 50919$ |
$16$ |
[0,8] |
$37^{8}\cdot 149^{7}$ |
$2$ |
$54.3087559419$ |
$74.24957912338628$ |
✓ |
|
|
$D_{16}$ (as 16T56) |
$[47]$ |
$2$ |
$7$ |
$1665869.40914$ |
| 16.0.713...817.1 |
$x^{16} - 2 x^{15} + 4 x^{14} - 21 x^{13} - 27 x^{12} - 165 x^{11} + 944 x^{10} + 1930 x^{9} - 2482 x^{8} - 5011 x^{7} + 2662 x^{6} + 2845 x^{5} + 1030 x^{4} - 1167 x^{3} - 326 x^{2} - 29 x + 107$ |
$16$ |
[0,8] |
$71^{8}\cdot 73^{7}$ |
$2$ |
$55.0595839852$ |
$71.99305522062528$ |
|
|
? |
$D_{16}$ (as 16T56) |
$[7]$ |
$2$ |
$7$ |
$3343233.44259$ |
| 16.2.733...671.1 |
$x^{16} - 2 x^{15} - 4 x^{14} + 115 x^{13} - 397 x^{12} + 965 x^{11} - 138 x^{10} - 829 x^{9} + 2987 x^{8} + 9275 x^{7} - 4219 x^{6} + 8790 x^{5} + 34336 x^{4} + 37298 x^{3} + 3716 x^{2} + 10610 x - 4447$ |
$16$ |
[2,7] |
$-\,71^{7}\cdot 73^{8}$ |
$2$ |
$55.1552627237$ |
$71.99305522062528$ |
|
|
? |
$D_{16}$ (as 16T56) |
trivial |
$2$ |
$8$ |
$25631535.8037$ |
| 16.0.193...393.1 |
$x^{16} - 4 x^{15} - 8 x^{14} - x^{13} + 88 x^{12} + 96 x^{11} + 545 x^{10} + 711 x^{9} - 416 x^{8} + 337 x^{7} + 10 x^{6} + 1822 x^{5} + 16660 x^{4} + 22722 x^{3} + 34983 x^{2} + 30240 x + 14175$ |
$16$ |
[0,8] |
$7^{7}\cdot 31^{15}$ |
$2$ |
$58.597890311$ |
$66.17601451150978$ |
|
|
|
$D_{16}$ (as 16T56) |
$[3]$ |
$2$ |
$7$ |
$118753618.963$ |
| 16.0.230...533.1 |
$x^{16} - 6 x^{15} + 12 x^{14} + 18 x^{13} - 145 x^{12} + 156 x^{11} + 1152 x^{10} - 6153 x^{9} + 15545 x^{8} - 22656 x^{7} + 12273 x^{6} + 27438 x^{5} - 72479 x^{4} + 59010 x^{3} + 17064 x^{2} - 61830 x + 34425$ |
$16$ |
[0,8] |
$37^{7}\cdot 149^{8}$ |
$2$ |
$59.2490496222$ |
$74.24957912338628$ |
✓ |
|
|
$D_{16}$ (as 16T56) |
$[47]$ |
$2$ |
$7$ |
$2748487.80142$ |
| 16.0.263...141.1 |
$x^{16} - 5 x^{15} + 22 x^{14} - 83 x^{13} + 392 x^{12} - 717 x^{11} + 1364 x^{10} - 2969 x^{9} + 4036 x^{8} - 8051 x^{7} + 24446 x^{6} - 66537 x^{5} + 178753 x^{4} - 353640 x^{3} + 572700 x^{2} - 666000 x + 360000$ |
$16$ |
[0,8] |
$3^{7}\cdot 47^{15}$ |
$2$ |
$59.7492269645$ |
$63.9959321342471$ |
|
|
|
$D_{16}$ (as 16T56) |
$[5]$ |
$2$ |
$7$ |
$397627138.337$ |
| 16.0.486...513.1 |
$x^{16} - 4 x^{15} + 33 x^{14} - 166 x^{13} + 664 x^{12} - 2044 x^{11} + 6442 x^{10} - 16316 x^{9} + 30006 x^{8} - 48148 x^{7} + 55708 x^{6} - 11284 x^{5} - 10539 x^{4} + 1424 x^{3} + 67353 x^{2} + 44442 x + 18684$ |
$16$ |
[0,8] |
$17^{15}\cdot 19^{8}$ |
$2$ |
$62.0758484619$ |
$62.07584846190154$ |
|
|
|
$D_{16}$ (as 16T56) |
$[16]$ |
$2$ |
$7$ |
$95524847.8008$ |
| 16.2.791...423.1 |
$x^{16} - 5 x^{15} + 22 x^{14} - 83 x^{13} + 392 x^{12} - 905 x^{11} + 3573 x^{10} - 12980 x^{9} + 29369 x^{8} - 70843 x^{7} + 155388 x^{6} - 103855 x^{5} - 343558 x^{4} + 1036385 x^{3} - 1038695 x^{2} + 244766 x + 237988$ |
$16$ |
[2,7] |
$-\,3^{8}\cdot 47^{15}$ |
$2$ |
$63.9959321342$ |
$63.9959321342471$ |
|
|
|
$D_{16}$ (as 16T56) |
trivial |
$2$ |
$8$ |
$2086348151.54$ |
| 16.2.135...751.1 |
$x^{16} - 6 x^{15} + 13 x^{14} - 15 x^{13} + 120 x^{12} - 1565 x^{11} + 4081 x^{10} + 2766 x^{9} + 24690 x^{8} - 169895 x^{7} + 90832 x^{6} + 285015 x^{5} - 18016 x^{4} + 35647 x^{3} - 1002 x^{2} + 450 x + 81$ |
$16$ |
[2,7] |
$-\,7^{8}\cdot 31^{15}$ |
$2$ |
$66.1760145115$ |
$66.17601451150978$ |
|
|
|
$D_{16}$ (as 16T56) |
trivial |
$2$ |
$8$ |
$1882860909.05$ |
| 16.2.321...808.565 |
$x^{16} + 144 x^{8} - 648$ |
$16$ |
[2,7] |
$-\,2^{79}\cdot 3^{12}$ |
$2$ |
$69.85162995569425$ |
$72.94422582255288$ |
|
|
? |
$D_{16}$ (as 16T56) |
trivial |
$2$ |
$8$ |
$622670742.5533874$ |
| 16.2.321...808.707 |
$x^{16} - 72 x^{8} - 162$ |
$16$ |
[2,7] |
$-\,2^{79}\cdot 3^{12}$ |
$2$ |
$69.85162995569425$ |
$72.94422582255288$ |
|
|
? |
$D_{16}$ (as 16T56) |
trivial |
$2$ |
$8$ |
$478259866.9335978$ |
| 16.0.321...808.24 |
$x^{16} - 48 x^{12} + 1728 x^{8} - 864 x^{4} + 162$ |
$16$ |
[0,8] |
$2^{79}\cdot 3^{12}$ |
$2$ |
$69.85162995569425$ |
$72.94422582255288$ |
|
|
? |
$D_{16}$ (as 16T56) |
$[2]$ |
$2$ |
$7$ |
$353238826.148066$ |
