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 |
16.0.104976000000000000.1 |
$x^{16} + x^{14} - x^{10} - x^{8} - x^{6} + x^{2} + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{8}\cdot 5^{12}$ |
$3$ |
$11.5829218529$ |
$11.582921852882691$ |
✓ |
✓ |
✓ |
$C_4\times C_2^2$ (as 16T2) |
trivial |
$60$ |
$7$ |
$1560.85801125$ |
16.0.104...000.1 |
$x^{16} - x^{12} + x^{8} - x^{4} + 1$ |
$16$ |
[0,8] |
$2^{32}\cdot 5^{12}$ |
$2$ |
$13.3748060995$ |
$13.37480609952844$ |
✓ |
✓ |
✓ |
$C_4\times C_2^2$ (as 16T2) |
trivial |
$40$ |
$7$ |
$3557.06767863$ |
16.0.184...016.1 |
$x^{16} - x^{8} + 1$ |
$16$ |
[0,8] |
$2^{48}\cdot 3^{8}$ |
$2$ |
$13.8564064606$ |
$13.856406460551018$ |
✓ |
✓ |
✓ |
$C_4\times C_2^2$ (as 16T2) |
trivial |
$48$ |
$7$ |
$5982.15532136$ |
16.0.923...625.1 |
$x^{16} - x^{15} + 2 x^{14} - 5 x^{13} + 5 x^{12} + x^{11} + 6 x^{10} + 5 x^{9} - 21 x^{8} + 10 x^{7} + 24 x^{6} + 8 x^{5} + 80 x^{4} - 160 x^{3} + 128 x^{2} - 128 x + 256$ |
$16$ |
[0,8] |
$3^{8}\cdot 5^{12}\cdot 7^{8}$ |
$3$ |
$15.3227653391$ |
$15.322765339111537$ |
✓ |
✓ |
|
$C_4\times C_2^2$ (as 16T2) |
trivial |
$30$ |
$7$ |
$7204.63964805$ |
16.0.268...000.1 |
$x^{16} + 2 x^{14} - 8 x^{10} - 16 x^{8} - 32 x^{6} + 128 x^{2} + 256$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{8}\cdot 5^{12}$ |
$3$ |
$16.3807251763$ |
$16.3807251762544$ |
✓ |
✓ |
? |
$C_4\times C_2^2$ (as 16T2) |
trivial |
$30$ |
$7$ |
$9885.67249618$ |
16.0.268...000.2 |
$x^{16} - 2 x^{14} + 8 x^{10} - 16 x^{8} + 32 x^{6} - 128 x^{2} + 256$ |
$16$ |
[0,8] |
$2^{24}\cdot 3^{8}\cdot 5^{12}$ |
$3$ |
$16.3807251763$ |
$16.3807251762544$ |
✓ |
✓ |
? |
$C_4\times C_2^2$ (as 16T2) |
$[2]$ |
$30$ |
$7$ |
$8347.19662176$ |
16.0.922...000.1 |
$x^{16} + 3 x^{14} + 5 x^{12} + 3 x^{10} - 11 x^{8} + 12 x^{6} + 80 x^{4} + 192 x^{2} + 256$ |
$16$ |
[0,8] |
$2^{16}\cdot 5^{12}\cdot 7^{8}$ |
$3$ |
$17.6932053865$ |
$17.693205386531027$ |
✓ |
✓ |
? |
$C_4\times C_2^2$ (as 16T2) |
trivial |
$20$ |
$7$ |
$11381.1188025$ |
16.0.109...000.1 |
$x^{16} + 47 x^{8} + 1$ |
$16$ |
[0,8] |
$2^{48}\cdot 5^{8}$ |
$2$ |
$17.88854382$ |
$17.88854381999832$ |
✓ |
✓ |
? |
$C_4\times C_2^2$ (as 16T2) |
trivial |
$16$ |
$7$ |
$12198.9512748$ |
16.0.343...625.1 |
$x^{16} - x^{15} + 3 x^{14} - 8 x^{13} + 8 x^{12} + 7 x^{11} + 6 x^{10} + 56 x^{9} - 137 x^{8} + 168 x^{7} + 54 x^{6} + 189 x^{5} + 648 x^{4} - 1944 x^{3} + 2187 x^{2} - 2187 x + 6561$ |
$16$ |
[0,8] |
$3^{8}\cdot 5^{12}\cdot 11^{8}$ |
$3$ |
$19.208102881$ |
$19.208102881010017$ |
✓ |
✓ |
|
$C_4\times C_2^2$ (as 16T2) |
$[4]$ |
$30$ |
$7$ |
$16078.6045103$ |
16.0.130...625.1 |
$x^{16} - x^{15} - 3 x^{14} + 10 x^{13} - 10 x^{12} + 31 x^{11} + 66 x^{10} - 310 x^{9} + 229 x^{8} + 930 x^{7} + 594 x^{6} - 837 x^{5} - 810 x^{4} - 2430 x^{3} - 2187 x^{2} + 2187 x + 6561$ |
$16$ |
[0,8] |
$3^{8}\cdot 5^{12}\cdot 13^{8}$ |
$3$ |
$20.8814093301$ |
$20.88140933013045$ |
✓ |
✓ |
|
$C_4\times C_2^2$ (as 16T2) |
$[4]$ |
$30$ |
$7$ |
$24866.4840857$ |
16.0.162...456.1 |
$x^{16} - 31 x^{8} + 256$ |
$16$ |
[0,8] |
$2^{48}\cdot 7^{8}$ |
$2$ |
$21.1660104885$ |
$21.166010488516726$ |
✓ |
✓ |
? |
$C_4\times C_2^2$ (as 16T2) |
$[4]$ |
$16$ |
$7$ |
$39114.0652766$ |
16.0.342...000.1 |
$x^{16} + 5 x^{14} + 16 x^{12} + 35 x^{10} + 31 x^{8} + 315 x^{6} + 1296 x^{4} + 3645 x^{2} + 6561$ |
$16$ |
[0,8] |
$2^{16}\cdot 5^{12}\cdot 11^{8}$ |
$3$ |
$22.1796067379$ |
$22.17960673794632$ |
✓ |
✓ |
? |
$C_4\times C_2^2$ (as 16T2) |
$[4]$ |
$20$ |
$7$ |
$40470.7919711$ |
16.0.687...000.1 |
$x^{16} + 16 x^{14} + 105 x^{12} + 364 x^{10} + 714 x^{8} + 784 x^{6} + 440 x^{4} + 96 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{32}\cdot 3^{8}\cdot 5^{12}$ |
$3$ |
$23.1658437058$ |
$23.165843705765383$ |
✓ |
✓ |
✓ |
$C_4\times C_2^2$ (as 16T2) |
$[8]$ |
$2$ |
$7$ |
$1560.85801125$ |
16.16.687...000.1 |
$x^{16} - 16 x^{14} + 105 x^{12} - 364 x^{10} + 714 x^{8} - 784 x^{6} + 440 x^{4} - 96 x^{2} + 1$ |
$16$ |
[16,0] |
$2^{32}\cdot 3^{8}\cdot 5^{12}$ |
$3$ |
$23.1658437058$ |
$23.165843705765383$ |
|
✓ |
✓ |
$C_4\times C_2^2$ (as 16T2) |
trivial |
$2$ |
$15$ |
$361725.540601$ |
16.0.687...000.2 |
$x^{16} + 21 x^{12} + 86 x^{8} + 36 x^{4} + 1$ |
$16$ |
[0,8] |
$2^{32}\cdot 3^{8}\cdot 5^{12}$ |
$3$ |
$23.1658437058$ |
$23.165843705765383$ |
✓ |
✓ |
? |
$C_4\times C_2^2$ (as 16T2) |
$[8]$ |
$4$ |
$7$ |
$9885.67249618$ |
16.0.687...000.3 |
$x^{16} + 29 x^{12} + 246 x^{8} + 524 x^{4} + 1$ |
$16$ |
[0,8] |
$2^{32}\cdot 3^{8}\cdot 5^{12}$ |
$3$ |
$23.1658437058$ |
$23.165843705765383$ |
✓ |
✓ |
|
$C_4\times C_2^2$ (as 16T2) |
$[2, 2]$ |
$8$ |
$7$ |
$16694.3932435$ |
16.0.687...000.4 |
$x^{16} + 4 x^{14} + 15 x^{12} + 56 x^{10} + 209 x^{8} + 56 x^{6} + 15 x^{4} + 4 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{32}\cdot 3^{8}\cdot 5^{12}$ |
$3$ |
$23.1658437058$ |
$23.165843705765383$ |
✓ |
✓ |
? |
$C_4\times C_2^2$ (as 16T2) |
$[2, 2]$ |
$10$ |
$7$ |
$15197.4244561$ |
16.0.687...000.5 |
$x^{16} + 8 x^{14} + 45 x^{12} + 128 x^{10} + 264 x^{8} + 212 x^{6} + 125 x^{4} + 12 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{32}\cdot 3^{8}\cdot 5^{12}$ |
$3$ |
$23.1658437058$ |
$23.165843705765383$ |
✓ |
✓ |
|
$C_4\times C_2^2$ (as 16T2) |
$[2, 4]$ |
$6$ |
$7$ |
$7114.13535725$ |
16.0.687...000.6 |
$x^{16} - 15 x^{12} + 200 x^{8} - 375 x^{4} + 625$ |
$16$ |
[0,8] |
$2^{32}\cdot 3^{8}\cdot 5^{12}$ |
$3$ |
$23.1658437058$ |
$23.165843705765383$ |
✓ |
✓ |
|
$C_4\times C_2^2$ (as 16T2) |
$[2, 2]$ |
$12$ |
$7$ |
$27342.8963735$ |
16.0.687...000.7 |
$x^{16} - 4 x^{14} + 15 x^{12} - 56 x^{10} + 209 x^{8} - 56 x^{6} + 15 x^{4} - 4 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{32}\cdot 3^{8}\cdot 5^{12}$ |
$3$ |
$23.1658437058$ |
$23.165843705765383$ |
✓ |
✓ |
|
$C_4\times C_2^2$ (as 16T2) |
$[8]$ |
$10$ |
$7$ |
$27342.8963735$ |
16.0.687...000.8 |
$x^{16} - 8 x^{14} + 45 x^{12} - 128 x^{10} + 264 x^{8} - 212 x^{6} + 125 x^{4} - 12 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{32}\cdot 3^{8}\cdot 5^{12}$ |
$3$ |
$23.1658437058$ |
$23.165843705765383$ |
✓ |
✓ |
|
$C_4\times C_2^2$ (as 16T2) |
$[2, 2]$ |
$6$ |
$7$ |
$29315.3855927$ |
16.0.687...000.9 |
$x^{16} - 9 x^{12} + 81 x^{8} - 729 x^{4} + 6561$ |
$16$ |
[0,8] |
$2^{32}\cdot 3^{8}\cdot 5^{12}$ |
$3$ |
$23.1658437058$ |
$23.165843705765383$ |
✓ |
✓ |
? |
$C_4\times C_2^2$ (as 16T2) |
$[8]$ |
$20$ |
$7$ |
$29315.3855927$ |
16.0.100...776.1 |
$x^{16} + 3 x^{14} - 9 x^{12} + 62 x^{10} + 327 x^{8} - 126 x^{6} - 146 x^{4} - 36 x^{2} + 81$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{8}\cdot 13^{12}$ |
$3$ |
$23.7163656358$ |
$23.71636563583009$ |
✓ |
✓ |
|
$C_4\times C_2^2$ (as 16T2) |
$[4]$ |
$12$ |
$7$ |
$46563.6853863$ |
16.0.111...625.1 |
$x^{16} - x^{15} - 4 x^{14} + 13 x^{13} - 13 x^{12} + 49 x^{11} + 132 x^{10} - 637 x^{9} + 381 x^{8} + 2548 x^{7} + 2112 x^{6} - 3136 x^{5} - 3328 x^{4} - 13312 x^{3} - 16384 x^{2} + 16384 x + 65536$ |
$16$ |
[0,8] |
$3^{8}\cdot 5^{12}\cdot 17^{8}$ |
$3$ |
$23.8788051264$ |
$23.87880512635518$ |
✓ |
✓ |
|
$C_4\times C_2^2$ (as 16T2) |
$[6]$ |
$30$ |
$7$ |
$38248.3956886$ |
16.0.130...000.1 |
$x^{16} - 7 x^{14} + 40 x^{12} - 217 x^{10} + 1159 x^{8} - 1953 x^{6} + 3240 x^{4} - 5103 x^{2} + 6561$ |
$16$ |
[0,8] |
$2^{16}\cdot 5^{12}\cdot 13^{8}$ |
$3$ |
$24.1117745956$ |
$24.111774595619156$ |
✓ |
✓ |
? |
$C_4\times C_2^2$ (as 16T2) |
$[4]$ |
$20$ |
$7$ |
$51924.3982642$ |
16.0.236...000.1 |
$x^{16} - 2 x^{15} - 5 x^{14} + 20 x^{13} + 19 x^{12} + 88 x^{11} - 497 x^{10} + 10 x^{9} + 3711 x^{8} - 3712 x^{7} + 2758 x^{6} - 1816 x^{5} + 1084 x^{4} - 464 x^{3} + 184 x^{2} - 64 x + 16$ |
$16$ |
[0,8] |
$2^{24}\cdot 5^{12}\cdot 7^{8}$ |
$3$ |
$25.0219710195$ |
$25.021971019484877$ |
✓ |
✓ |
|
$C_4\times C_2^2$ (as 16T2) |
$[5]$ |
$10$ |
$7$ |
$85253.3675979$ |
16.0.236...000.2 |
$x^{16} - 8 x^{15} + 48 x^{14} - 196 x^{13} + 656 x^{12} - 1752 x^{11} + 3898 x^{10} - 7148 x^{9} + 10467 x^{8} - 11960 x^{7} + 8262 x^{6} - 264 x^{5} + 372 x^{4} - 6272 x^{3} + 4376 x^{2} - 480 x + 16$ |
$16$ |
[0,8] |
$2^{24}\cdot 5^{12}\cdot 7^{8}$ |
$3$ |
$25.0219710195$ |
$25.021971019484877$ |
✓ |
✓ |
? |
$C_4\times C_2^2$ (as 16T2) |
$[4]$ |
$10$ |
$7$ |
$34736.104354$ |
16.0.272...625.1 |
$x^{16} - x^{15} + 5 x^{14} - 14 x^{13} + 14 x^{12} + 31 x^{11} - 30 x^{10} + 434 x^{9} - 1059 x^{8} + 2170 x^{7} - 750 x^{6} + 3875 x^{5} + 8750 x^{4} - 43750 x^{3} + 78125 x^{2} - 78125 x + 390625$ |
$16$ |
[0,8] |
$3^{8}\cdot 5^{12}\cdot 19^{8}$ |
$3$ |
$25.2443929138$ |
$25.24439291382227$ |
✓ |
✓ |
|
$C_4\times C_2^2$ (as 16T2) |
$[8]$ |
$30$ |
$7$ |
$49344.1781525$ |
16.0.450...000.1 |
$x^{16} + 12 x^{14} + 114 x^{12} + 312 x^{10} + 608 x^{8} + 624 x^{6} + 456 x^{4} + 96 x^{2} + 16$ |
$16$ |
[0,8] |
$2^{44}\cdot 3^{8}\cdot 5^{8}$ |
$3$ |
$26.0542224973$ |
$26.054222497305222$ |
✓ |
✓ |
|
$C_4\times C_2^2$ (as 16T2) |
$[20]$ |
$6$ |
$7$ |
$12198.9512748$ |
16.0.450...000.2 |
$x^{16} - 12 x^{14} + 114 x^{12} - 312 x^{10} + 608 x^{8} - 624 x^{6} + 456 x^{4} - 96 x^{2} + 16$ |
$16$ |
[0,8] |
$2^{44}\cdot 3^{8}\cdot 5^{8}$ |
$3$ |
$26.0542224973$ |
$26.054222497305222$ |
✓ |
✓ |
|
$C_4\times C_2^2$ (as 16T2) |
$[2]$ |
$6$ |
$7$ |
$67549.6577055$ |
16.0.597...625.1 |
$x^{16} - x^{15} - 4 x^{14} - 41 x^{13} + 6 x^{12} + 184 x^{11} + 163 x^{10} + 452 x^{9} + 1014 x^{8} + 599 x^{7} + 632 x^{6} + 1090 x^{5} - 89 x^{4} - 384 x^{3} + 126 x^{2} - 108 x + 81$ |
$16$ |
[0,8] |
$3^{8}\cdot 5^{8}\cdot 13^{12}$ |
$3$ |
$26.5157028705$ |
$26.51570287047805$ |
✓ |
✓ |
|
$C_4\times C_2^2$ (as 16T2) |
$[4]$ |
$6$ |
$7$ |
$57289.5984617$ |
16.0.603...936.1 |
$x^{16} - 113 x^{8} + 6561$ |
$16$ |
[0,8] |
$2^{48}\cdot 11^{8}$ |
$2$ |
$26.5329983228$ |
$26.5329983228432$ |
✓ |
✓ |
? |
$C_4\times C_2^2$ (as 16T2) |
$[5]$ |
$16$ |
$7$ |
$82984.742906$ |
16.0.687...000.1 |
$x^{16} + 175 x^{8} + 625$ |
$16$ |
[0,8] |
$2^{48}\cdot 5^{12}$ |
$2$ |
$26.7496121991$ |
$26.74961219905688$ |
✓ |
✓ |
|
$C_4\times C_2^2$ (as 16T2) |
$[10]$ |
$8$ |
$7$ |
$42649.7127656$ |
16.0.100...376.1 |
$x^{16} - 27 x^{12} + 366 x^{8} - 308 x^{4} + 81$ |
$16$ |
[0,8] |
$2^{32}\cdot 13^{12}$ |
$2$ |
$27.3853001681$ |
$27.385300168092183$ |
✓ |
✓ |
|
$C_4\times C_2^2$ (as 16T2) |
$[3]$ |
$8$ |
$7$ |
$109807.019117$ |
16.0.111...000.1 |
$x^{16} - 9 x^{14} + 65 x^{12} - 441 x^{10} + 2929 x^{8} - 7056 x^{6} + 16640 x^{4} - 36864 x^{2} + 65536$ |
$16$ |
[0,8] |
$2^{16}\cdot 5^{12}\cdot 17^{8}$ |
$3$ |
$27.5728691353$ |
$27.572869135255555$ |
✓ |
✓ |
? |
$C_4\times C_2^2$ (as 16T2) |
$[4]$ |
$20$ |
$7$ |
$114932.409132$ |
16.0.125...625.1 |
$x^{16} - x^{15} + 6 x^{14} - 17 x^{13} + 17 x^{12} + 49 x^{11} - 78 x^{10} + 833 x^{9} - 2129 x^{8} + 4998 x^{7} - 2808 x^{6} + 10584 x^{5} + 22032 x^{4} - 132192 x^{3} + 279936 x^{2} - 279936 x + 1679616$ |
$16$ |
[0,8] |
$3^{8}\cdot 5^{12}\cdot 23^{8}$ |
$3$ |
$27.7748708771$ |
$27.77487087706129$ |
✓ |
✓ |
|
$C_4\times C_2^2$ (as 16T2) |
$[15]$ |
$30$ |
$7$ |
$93215.7577208$ |
16.0.229...976.1 |
$x^{16} + 799 x^{8} + 6561$ |
$16$ |
[0,8] |
$2^{48}\cdot 13^{8}$ |
$2$ |
$28.8444102037$ |
$28.844410203711913$ |
✓ |
✓ |
? |
$C_4\times C_2^2$ (as 16T2) |
$[15]$ |
$16$ |
$7$ |
$108889.885552$ |
16.0.250...656.1 |
$x^{16} - 13 x^{14} + 129 x^{12} - 494 x^{10} + 1430 x^{8} - 494 x^{6} + 129 x^{4} - 13 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{8}\cdot 17^{12}$ |
$3$ |
$29.0019576516$ |
$29.001957651613843$ |
✓ |
✓ |
|
$C_4\times C_2^2$ (as 16T2) |
$[20]$ |
$12$ |
$7$ |
$165082.730127$ |
16.0.271...000.1 |
$x^{16} + 9 x^{14} + 56 x^{12} + 279 x^{10} + 1111 x^{8} + 6975 x^{6} + 35000 x^{4} + 140625 x^{2} + 390625$ |
$16$ |
[0,8] |
$2^{16}\cdot 5^{12}\cdot 19^{8}$ |
$3$ |
$29.1497140886$ |
$29.149714088647936$ |
✓ |
✓ |
? |
$C_4\times C_2^2$ (as 16T2) |
$[2, 8]$ |
$20$ |
$7$ |
$123279.066823$ |
16.0.301...625.1 |
$x^{16} - 9 x^{14} + 80 x^{12} - 711 x^{10} + 6319 x^{8} - 711 x^{6} + 80 x^{4} - 9 x^{2} + 1$ |
$16$ |
[0,8] |
$5^{12}\cdot 7^{8}\cdot 11^{8}$ |
$3$ |
$29.3408618029$ |
$29.34086180290925$ |
✓ |
✓ |
|
$C_4\times C_2^2$ (as 16T2) |
$[2, 2, 2]$ |
$10$ |
$7$ |
$125968.724253$ |
16.0.596...000.1 |
$x^{16} - 9 x^{14} + 135 x^{12} - 90 x^{10} + 663 x^{8} - 270 x^{6} + 1150 x^{4} + 108 x^{2} + 81$ |
$16$ |
[0,8] |
$2^{16}\cdot 5^{8}\cdot 13^{12}$ |
$3$ |
$30.61769638$ |
$30.61769638004527$ |
✓ |
✓ |
|
$C_4\times C_2^2$ (as 16T2) |
$[4]$ |
$4$ |
$7$ |
$213280.05844$ |
16.0.605...000.1 |
$x^{16} + 12 x^{14} + 110 x^{12} + 362 x^{10} + 879 x^{8} + 758 x^{6} + 495 x^{4} + 23 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 7^{8}$ |
$4$ |
$30.6455306782$ |
$30.645530678223075$ |
✓ |
✓ |
? |
$C_4\times C_2^2$ (as 16T2) |
$[4, 8]$ |
$6$ |
$7$ |
$22762.237605$ |
16.16.605...000.1 |
$x^{16} - 28 x^{14} + 274 x^{12} - 1262 x^{10} + 3051 x^{8} - 3970 x^{6} + 2635 x^{4} - 725 x^{2} + 25$ |
$16$ |
[16,0] |
$2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 7^{8}$ |
$4$ |
$30.6455306782$ |
$30.645530678223075$ |
|
✓ |
? |
$C_4\times C_2^2$ (as 16T2) |
trivial |
$2$ |
$15$ |
$4244913.2994$ |
16.0.605...000.2 |
$x^{16} + 21 x^{14} + 210 x^{12} + 1104 x^{10} + 3329 x^{8} + 5124 x^{6} + 4320 x^{4} + 1536 x^{2} + 256$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 7^{8}$ |
$4$ |
$30.6455306782$ |
$30.645530678223075$ |
✓ |
✓ |
? |
$C_4\times C_2^2$ (as 16T2) |
$[4, 8]$ |
$2$ |
$7$ |
$3121.7160225$ |
16.0.605...000.3 |
$x^{16} + 29 x^{14} + 336 x^{12} + 1979 x^{10} + 6231 x^{8} + 10055 x^{6} + 7040 x^{4} + 1125 x^{2} + 25$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 7^{8}$ |
$4$ |
$30.6455306782$ |
$30.645530678223075$ |
✓ |
✓ |
? |
$C_4\times C_2^2$ (as 16T2) |
$[4, 8]$ |
$4$ |
$7$ |
$14409.2792961$ |
16.0.605...000.4 |
$x^{16} + 4 x^{14} + 50 x^{12} - 114 x^{10} + 1259 x^{8} - 3294 x^{6} + 11675 x^{4} - 15881 x^{2} + 22801$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 7^{8}$ |
$4$ |
$30.6455306782$ |
$30.645530678223075$ |
✓ |
✓ |
|
$C_4\times C_2^2$ (as 16T2) |
$[2, 2, 2]$ |
$4$ |
$7$ |
$67203.8653181$ |
16.0.605...000.5 |
$x^{16} + 5 x^{14} + 24 x^{12} + 115 x^{10} + 551 x^{8} + 115 x^{6} + 24 x^{4} + 5 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 7^{8}$ |
$4$ |
$30.6455306782$ |
$30.645530678223075$ |
✓ |
✓ |
? |
$C_4\times C_2^2$ (as 16T2) |
$[2, 2, 2]$ |
$10$ |
$7$ |
$63425.6271299$ |
16.0.605...000.6 |
$x^{16} - 11 x^{14} + 96 x^{12} - 781 x^{10} + 6191 x^{8} - 19525 x^{6} + 60000 x^{4} - 171875 x^{2} + 390625$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 7^{8}$ |
$4$ |
$30.6455306782$ |
$30.645530678223075$ |
✓ |
✓ |
? |
$C_4\times C_2^2$ (as 16T2) |
$[4, 8]$ |
$20$ |
$7$ |
$107520.786508$ |
16.0.605...000.7 |
$x^{16} - 19 x^{14} + 240 x^{12} - 1741 x^{10} + 9219 x^{8} - 29161 x^{6} + 63200 x^{4} - 33759 x^{2} + 14641$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 7^{8}$ |
$4$ |
$30.6455306782$ |
$30.645530678223075$ |
✓ |
✓ |
? |
$C_4\times C_2^2$ (as 16T2) |
$[2, 2, 2]$ |
$12$ |
$7$ |
$76884.6053994$ |
16.0.605...000.8 |
$x^{16} - 2 x^{15} - 25 x^{14} + 50 x^{13} + 254 x^{12} - 442 x^{11} - 1452 x^{10} + 2200 x^{9} + 4686 x^{8} - 7282 x^{7} - 5457 x^{6} + 3214 x^{5} + 30374 x^{4} + 11566 x^{3} + 3134 x^{2} - 9304 x + 2101$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 7^{8}$ |
$4$ |
$30.6455306782$ |
$30.645530678223075$ |
✓ |
✓ |
|
$C_4\times C_2^2$ (as 16T2) |
$[4, 8]$ |
$10$ |
$7$ |
$76884.6053994$ |