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 |
16.0.7771775074107392.1 |
$x^{16} - 6 x^{15} + 17 x^{14} - 28 x^{13} + 26 x^{12} - 10 x^{11} - 3 x^{10} + 2 x^{9} + x^{8} + 6 x^{7} - 10 x^{6} + 2 x^{5} + 6 x^{4} - 4 x^{3} - 2 x^{2} + 2 x + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 17^{9}$ |
$2$ |
$9.84368060738$ |
$23.86012979730628$ |
|
|
? |
$D_8:C_8$ (as 16T260) |
trivial |
$4$ |
$7$ |
$25.2889722607$ |
16.0.509...112.1 |
$x^{16} - 28 x^{12} + 374 x^{8} - 2108 x^{4} + 4913$ |
$16$ |
[0,8] |
$2^{32}\cdot 17^{9}$ |
$2$ |
$19.6873612148$ |
$47.72025959461256$ |
|
|
? |
$D_8:C_8$ (as 16T260) |
$[2]$ |
$4$ |
$7$ |
$4099.74846201$ |
16.0.236...848.5 |
$x^{16} - 2 x^{8} + 2$ |
$16$ |
[0,8] |
$2^{71}$ |
$1$ |
$21.668088750990282$ |
$31.655296422207215$ |
|
|
✓ |
$D_8:C_8$ (as 16T260) |
trivial |
$4$ |
$7$ |
$43720.19570356363$ |
16.0.236...848.6 |
$x^{16} + 2 x^{8} + 2$ |
$16$ |
[0,8] |
$2^{71}$ |
$1$ |
$21.668088750990282$ |
$31.655296422207215$ |
|
|
✓ |
$D_8:C_8$ (as 16T260) |
trivial |
$4$ |
$7$ |
$64233.2537592955$ |
16.0.604...088.25 |
$x^{16} - 16 x^{14} + 104 x^{12} - 352 x^{10} + 656 x^{8} - 640 x^{6} + 256 x^{4} + 2$ |
$16$ |
[0,8] |
$2^{79}$ |
$1$ |
$30.64330498235436$ |
$37.644703732809$ |
|
|
? |
$D_8:C_8$ (as 16T260) |
trivial |
$2$ |
$7$ |
$271883.4836882298$ |
16.0.604...088.36 |
$x^{16} - 16 x^{14} + 104 x^{12} - 352 x^{10} + 664 x^{8} - 704 x^{6} + 416 x^{4} - 128 x^{2} + 18$ |
$16$ |
[0,8] |
$2^{79}$ |
$1$ |
$30.64330498235436$ |
$37.644703732809$ |
|
|
|
$D_8:C_8$ (as 16T260) |
trivial |
$2$ |
$7$ |
$1607126.1290979695$ |
16.0.282...217.1 |
$x^{16} - 5 x^{15} + 20 x^{14} - 64 x^{13} + 175 x^{12} - 425 x^{11} + 919 x^{10} - 1761 x^{9} + 2532 x^{8} - 2845 x^{7} + 2997 x^{6} - 3154 x^{5} + 3581 x^{4} - 3248 x^{3} + 2377 x^{2} - 1070 x + 213$ |
$16$ |
[0,8] |
$17^{9}\cdot 47^{8}$ |
$2$ |
$33.7424371204$ |
$81.7884043055344$ |
|
|
|
$D_8:C_8$ (as 16T260) |
$[10]$ |
$2$ |
$7$ |
$181509.481996$ |
16.0.154...728.4 |
$x^{16} - 162 x^{8} + 13122$ |
$16$ |
[0,8] |
$2^{71}\cdot 3^{8}$ |
$2$ |
$37.53023061962683$ |
$54.8285817319162$ |
|
|
? |
$D_8:C_8$ (as 16T260) |
$[2]$ |
$4$ |
$7$ |
$1327240.0609143733$ |
16.0.154...728.5 |
$x^{16} + 162 x^{8} + 13122$ |
$16$ |
[0,8] |
$2^{71}\cdot 3^{8}$ |
$2$ |
$37.53023061962683$ |
$54.8285817319162$ |
|
|
? |
$D_8:C_8$ (as 16T260) |
$[2]$ |
$4$ |
$7$ |
$3170475.3137831497$ |
16.0.481...577.2 |
$x^{16} + x^{14} - x^{13} + 48 x^{12} - 132 x^{11} + 36 x^{10} + 132 x^{9} + 426 x^{8} - 2193 x^{7} + 4267 x^{6} - 5049 x^{5} + 4012 x^{4} - 2159 x^{3} + 748 x^{2} - 153 x + 17$ |
$16$ |
[0,8] |
$17^{9}\cdot 67^{8}$ |
$2$ |
$40.2869991725$ |
$97.65178978680869$ |
|
|
? |
$D_8:C_8$ (as 16T260) |
$[10]$ |
$2$ |
$7$ |
$170896.920205$ |
16.0.489...128.121 |
$x^{16} - 16 x^{14} + 152 x^{12} - 800 x^{10} + 2816 x^{8} - 5856 x^{6} + 8352 x^{4} - 1728 x^{2} + 162$ |
$16$ |
[0,8] |
$2^{79}\cdot 3^{4}$ |
$2$ |
$40.328857358254204$ |
$65.20253950110296$ |
|
|
? |
$D_8:C_8$ (as 16T260) |
trivial |
$2$ |
$7$ |
$4039692.426098914$ |
16.0.489...128.205 |
$x^{16} - 16 x^{14} + 152 x^{12} - 800 x^{10} + 2848 x^{8} - 5664 x^{6} + 5472 x^{4} + 1728 x^{2} + 162$ |
$16$ |
[0,8] |
$2^{79}\cdot 3^{4}$ |
$2$ |
$40.328857358254204$ |
$65.20253950110296$ |
|
|
? |
$D_8:C_8$ (as 16T260) |
trivial |
$2$ |
$7$ |
$2745243.134183112$ |
16.0.489...128.258 |
$x^{16} - 16 x^{14} + 152 x^{12} - 800 x^{10} + 2760 x^{8} - 4896 x^{6} + 6912 x^{4} - 5184 x^{2} + 1458$ |
$16$ |
[0,8] |
$2^{79}\cdot 3^{4}$ |
$2$ |
$40.328857358254204$ |
$65.20253950110296$ |
|
|
|
$D_8:C_8$ (as 16T260) |
trivial |
$2$ |
$7$ |
$11893301.592363324$ |
16.0.489...128.273 |
$x^{16} - 16 x^{14} + 152 x^{12} - 800 x^{10} + 2792 x^{8} - 4704 x^{6} + 4032 x^{4} - 1728 x^{2} + 1458$ |
$16$ |
[0,8] |
$2^{79}\cdot 3^{4}$ |
$2$ |
$40.328857358254204$ |
$65.20253950110296$ |
|
|
|
$D_8:C_8$ (as 16T260) |
trivial |
$2$ |
$7$ |
$10822738.797083657$ |
16.0.125...968.4 |
$x^{16} - 18 x^{8} + 162$ |
$16$ |
[0,8] |
$2^{71}\cdot 3^{12}$ |
$2$ |
$49.39256121860478$ |
$72.15847158441667$ |
|
|
? |
$D_8:C_8$ (as 16T260) |
$[2]$ |
$4$ |
$7$ |
$40817906.630587645$ |
16.0.125...968.5 |
$x^{16} + 18 x^{8} + 162$ |
$16$ |
[0,8] |
$2^{71}\cdot 3^{12}$ |
$2$ |
$49.39256121860478$ |
$72.15847158441667$ |
|
|
? |
$D_8:C_8$ (as 16T260) |
$[2]$ |
$4$ |
$7$ |
$7648970.253704958$ |
16.0.125...968.19 |
$x^{16} - 36 x^{8} + 648$ |
$16$ |
[0,8] |
$2^{71}\cdot 3^{12}$ |
$2$ |
$49.39256121860478$ |
$72.15847158441667$ |
|
|
? |
$D_8:C_8$ (as 16T260) |
$[2]$ |
$4$ |
$7$ |
$8173433.008149859$ |
16.0.125...968.20 |
$x^{16} + 36 x^{8} + 648$ |
$16$ |
[0,8] |
$2^{71}\cdot 3^{12}$ |
$2$ |
$49.39256121860478$ |
$72.15847158441667$ |
|
|
? |
$D_8:C_8$ (as 16T260) |
$[2]$ |
$4$ |
$7$ |
$35881408.0262763$ |
16.0.396...368.603 |
$x^{16} - 48 x^{14} + 936 x^{12} - 9504 x^{10} + 53136 x^{8} - 155520 x^{6} + 186624 x^{4} + 13122$ |
$16$ |
[0,8] |
$2^{79}\cdot 3^{8}$ |
$2$ |
$53.07576114126626$ |
$65.20253950110296$ |
|
|
? |
$D_8:C_8$ (as 16T260) |
$[2]$ |
$2$ |
$7$ |
$17098728.418332707$ |
16.0.396...368.742 |
$x^{16} - 48 x^{14} + 936 x^{12} - 9504 x^{10} + 53784 x^{8} - 171072 x^{6} + 303264 x^{4} - 279936 x^{2} + 118098$ |
$16$ |
[0,8] |
$2^{79}\cdot 3^{8}$ |
$2$ |
$53.07576114126626$ |
$65.20253950110296$ |
|
|
|
$D_8:C_8$ (as 16T260) |
$[2]$ |
$2$ |
$7$ |
$46963871.35511376$ |
16.0.112...712.6 |
$x^{16} - 6 x^{8} + 18$ |
$16$ |
[0,8] |
$2^{71}\cdot 3^{14}$ |
$2$ |
$56.663279117699744$ |
$82.78039273967222$ |
|
|
? |
$D_8:C_8$ (as 16T260) |
$[2]$ |
$4$ |
$7$ |
$42524370.28488557$ |
16.0.112...712.7 |
$x^{16} + 6 x^{8} + 18$ |
$16$ |
[0,8] |
$2^{71}\cdot 3^{14}$ |
$2$ |
$56.663279117699744$ |
$82.78039273967222$ |
|
|
? |
$D_8:C_8$ (as 16T260) |
$[2]$ |
$4$ |
$7$ |
$77052746.25126402$ |
16.0.112...712.21 |
$x^{16} - 12 x^{8} + 72$ |
$16$ |
[0,8] |
$2^{71}\cdot 3^{14}$ |
$2$ |
$56.663279117699744$ |
$82.78039273967222$ |
|
|
? |
$D_8:C_8$ (as 16T260) |
$[2]$ |
$4$ |
$7$ |
$58799399.697856285$ |
16.0.112...712.22 |
$x^{16} + 12 x^{8} + 72$ |
$16$ |
[0,8] |
$2^{71}\cdot 3^{14}$ |
$2$ |
$56.663279117699744$ |
$82.78039273967222$ |
|
|
? |
$D_8:C_8$ (as 16T260) |
$[2]$ |
$4$ |
$7$ |
$146668992.29084152$ |
16.0.112...712.31 |
$x^{16} - 24 x^{8} + 288$ |
$16$ |
[0,8] |
$2^{71}\cdot 3^{14}$ |
$2$ |
$56.663279117699744$ |
$82.78039273967222$ |
|
|
? |
$D_8:C_8$ (as 16T260) |
$[2]$ |
$4$ |
$7$ |
$93645859.81754194$ |
16.0.112...712.32 |
$x^{16} + 24 x^{8} + 288$ |
$16$ |
[0,8] |
$2^{71}\cdot 3^{14}$ |
$2$ |
$56.663279117699744$ |
$82.78039273967222$ |
|
|
? |
$D_8:C_8$ (as 16T260) |
$[2]$ |
$4$ |
$7$ |
$34613071.25020918$ |
16.0.112...712.44 |
$x^{16} - 48 x^{8} + 1152$ |
$16$ |
[0,8] |
$2^{71}\cdot 3^{14}$ |
$2$ |
$56.663279117699744$ |
$82.78039273967222$ |
|
|
? |
$D_8:C_8$ (as 16T260) |
$[2]$ |
$4$ |
$7$ |
$158841677.43081936$ |
16.0.112...712.45 |
$x^{16} + 48 x^{8} + 1152$ |
$16$ |
[0,8] |
$2^{71}\cdot 3^{14}$ |
$2$ |
$56.663279117699744$ |
$82.78039273967222$ |
|
|
? |
$D_8:C_8$ (as 16T260) |
$[2]$ |
$4$ |
$7$ |
$54543557.78727674$ |
16.0.136...248.1 |
$x^{16} + 32 x^{14} + 416 x^{12} + 2816 x^{10} + 10516 x^{8} + 20800 x^{6} + 17984 x^{4} + 2560 x^{2} + 72$ |
$16$ |
[0,8] |
$2^{71}\cdot 7^{8}$ |
$2$ |
$57.3283742212$ |
$83.75204201119298$ |
✓ |
|
|
$D_8:C_8$ (as 16T260) |
$[218]$ |
$2$ |
$7$ |
$813591.065688$ |
16.16.136...248.1 |
$x^{16} - 32 x^{14} + 416 x^{12} - 2816 x^{10} + 10604 x^{8} - 22208 x^{6} + 25024 x^{4} - 13824 x^{2} + 2888$ |
$16$ |
[16,0] |
$2^{71}\cdot 7^{8}$ |
$2$ |
$57.3283742212$ |
$83.75204201119298$ |
|
|
? |
$D_8:C_8$ (as 16T260) |
trivial |
$2$ |
$15$ |
$1466768183.99$ |
16.16.136...248.2 |
$x^{16} - 32 x^{14} + 416 x^{12} - 2816 x^{10} + 10516 x^{8} - 20800 x^{6} + 17984 x^{4} - 2560 x^{2} + 72$ |
$16$ |
[16,0] |
$2^{71}\cdot 7^{8}$ |
$2$ |
$57.3283742212$ |
$83.75204201119298$ |
|
|
|
$D_8:C_8$ (as 16T260) |
trivial |
$2$ |
$15$ |
$6302916595.24$ |
16.0.136...248.2 |
$x^{16} + 32 x^{14} + 416 x^{12} + 2816 x^{10} + 10604 x^{8} + 22208 x^{6} + 25024 x^{4} + 13824 x^{2} + 2888$ |
$16$ |
[0,8] |
$2^{71}\cdot 7^{8}$ |
$2$ |
$57.3283742212$ |
$83.75204201119298$ |
✓ |
|
? |
$D_8:C_8$ (as 16T260) |
$[130]$ |
$2$ |
$7$ |
$294874.660448$ |
16.0.235...057.2 |
$x^{16} - 8 x^{15} + 45 x^{14} - 107 x^{13} + 261 x^{12} - 199 x^{11} + 479 x^{10} + 5471 x^{9} - 15947 x^{8} + 6973 x^{7} + 98504 x^{6} - 264952 x^{5} + 78771 x^{4} + 150510 x^{3} + 1483 x^{2} + 12019 x + 62867$ |
$16$ |
[0,8] |
$17^{13}\cdot 47^{8}$ |
$2$ |
$68.5154757357$ |
$81.7884043055344$ |
|
|
? |
$D_8:C_8$ (as 16T260) |
$[4, 20]$ |
$2$ |
$7$ |
$1688424.44596$ |
16.0.109...689.2 |
$x^{16} - 5 x^{15} + 32 x^{14} - 246 x^{13} + 753 x^{12} - 2262 x^{11} + 6443 x^{10} + 5749 x^{9} - 50991 x^{8} + 123309 x^{7} - 392006 x^{6} + 333125 x^{5} + 1091846 x^{4} - 1121147 x^{3} + 5869757 x^{2} - 5886424 x + 1545977$ |
$16$ |
[0,8] |
$11^{12}\cdot 89^{9}$ |
$2$ |
$75.4356075771$ |
$306.73318888072157$ |
|
|
|
$D_8:C_8$ (as 16T260) |
$[2]$ |
$2$ |
$7$ |
$124474223.474$ |
16.0.402...617.7 |
$x^{16} - 6 x^{15} + 18 x^{14} - 79 x^{13} + 241 x^{12} - 744 x^{11} + 2591 x^{10} - 4682 x^{9} + 13197 x^{8} - 34360 x^{7} + 62463 x^{6} - 111143 x^{5} + 332988 x^{4} - 223361 x^{3} + 791589 x^{2} - 231515 x + 1087469$ |
$16$ |
[0,8] |
$17^{13}\cdot 67^{8}$ |
$2$ |
$81.8044916085$ |
$97.65178978680869$ |
|
|
? |
$D_8:C_8$ (as 16T260) |
$[4, 4]$ |
$2$ |
$7$ |
$35047489.4828$ |
16.0.717...481.3 |
$x^{16} - x^{15} - 14 x^{14} + 51 x^{13} + 374 x^{12} - 1690 x^{11} + 7906 x^{10} - 41501 x^{9} + 212754 x^{8} - 555097 x^{7} + 2681016 x^{6} - 4737977 x^{5} + 22518941 x^{4} + 2748753 x^{3} + 166889104 x^{2} + 120480118 x + 21924773$ |
$16$ |
[0,8] |
$23^{12}\cdot 41^{9}$ |
$2$ |
$84.817759545$ |
$270.695945944019$ |
|
|
? |
$D_8:C_8$ (as 16T260) |
$[2, 12]$ |
$2$ |
$7$ |
$26099939.1227$ |
16.0.888...417.6 |
$x^{16} - 5 x^{15} - x^{14} - 73 x^{13} + 777 x^{12} + 214 x^{11} - 18728 x^{10} + 53819 x^{9} + 54019 x^{8} - 603079 x^{7} + 1473030 x^{6} - 2260599 x^{5} + 4096231 x^{4} - 8462844 x^{3} + 11842379 x^{2} - 8914295 x + 2766731$ |
$16$ |
[0,8] |
$43^{8}\cdot 97^{9}$ |
$2$ |
$85.959390673$ |
$359.05377344895084$ |
|
|
? |
$D_8:C_8$ (as 16T260) |
$[2]$ |
$2$ |
$7$ |
$600851966.015$ |
16.0.181...137.3 |
$x^{16} - 7 x^{15} - 2 x^{14} + 28 x^{13} + 965 x^{12} - 4442 x^{11} - 2787 x^{10} + 24342 x^{9} + 167258 x^{8} - 671891 x^{7} - 1306251 x^{6} + 10502938 x^{5} - 15131120 x^{4} - 20454968 x^{3} + 94305600 x^{2} - 123625248 x + 63451136$ |
$16$ |
[0,8] |
$47^{8}\cdot 97^{9}$ |
$2$ |
$89.8686110333$ |
$375.3826504989875$ |
|
|
|
$D_8:C_8$ (as 16T260) |
$[10]$ |
$2$ |
$7$ |
$33884343603.8$ |
16.0.681...473.2 |
$x^{16} - 8 x^{15} - 4 x^{14} + 168 x^{13} - 205 x^{12} - 1318 x^{11} + 2367 x^{10} + 5204 x^{9} - 8907 x^{8} - 18674 x^{7} + 18339 x^{6} + 55724 x^{5} - 20911 x^{4} - 95056 x^{3} + 1840 x^{2} + 61440 x + 65536$ |
$16$ |
[0,8] |
$17^{15}\cdot 47^{8}$ |
$2$ |
$97.6325860255$ |
$97.63258602548567$ |
|
|
|
$D_8:C_8$ (as 16T260) |
$[4, 32]$ |
$2$ |
$7$ |
$3099320667.29$ |
16.0.681...473.10 |
$x^{16} - x^{15} + 18 x^{14} - 120 x^{13} + 562 x^{12} - 2653 x^{11} + 11578 x^{10} - 42501 x^{9} + 182717 x^{8} - 553249 x^{7} + 1972426 x^{6} - 4224297 x^{5} + 8773684 x^{4} - 14208448 x^{3} + 17704192 x^{2} - 13786253 x + 6662675$ |
$16$ |
[0,8] |
$17^{15}\cdot 47^{8}$ |
$2$ |
$97.6325860255$ |
$97.63258602548567$ |
|
|
|
$D_8:C_8$ (as 16T260) |
$[4, 160]$ |
$2$ |
$7$ |
$28502147.7233$ |
16.0.257...321.1 |
$x^{16} - x^{15} + 56 x^{14} + 41 x^{13} + 1061 x^{12} + 5462 x^{11} + 7309 x^{10} + 65716 x^{9} + 440098 x^{8} + 153755 x^{7} + 351327 x^{6} + 10670397 x^{5} + 19279393 x^{4} - 105270823 x^{3} + 45856595 x^{2} - 151471363 x + 282885323$ |
$16$ |
[0,8] |
$31^{12}\cdot 41^{9}$ |
$2$ |
$106.099219665$ |
$338.6157425676776$ |
|
|
? |
$D_8:C_8$ (as 16T260) |
$[6]$ |
$2$ |
$7$ |
$847898663.713$ |
16.0.116...313.1 |
$x^{16} - 8 x^{15} - 4 x^{14} + 168 x^{13} - 460 x^{12} + 212 x^{11} + 2928 x^{10} - 11626 x^{9} + 24158 x^{8} - 33124 x^{7} + 30188 x^{6} - 16764 x^{5} + 10522 x^{4} - 11892 x^{3} + 8606 x^{2} - 2905 x + 375$ |
$16$ |
[0,8] |
$17^{15}\cdot 67^{8}$ |
$2$ |
$116.569052152$ |
$116.56905215178652$ |
|
|
|
$D_8:C_8$ (as 16T260) |
$[8, 16]$ |
$2$ |
$7$ |
$703580816.265$ |
16.0.116...313.3 |
$x^{16} - 2 x^{15} + 21 x^{14} - 212 x^{13} + 543 x^{12} - 1341 x^{11} + 10451 x^{10} - 37834 x^{9} + 69939 x^{8} + 38860 x^{7} - 175249 x^{6} - 165231 x^{5} + 302225 x^{4} + 508030 x^{3} - 673612 x^{2} - 337425 x + 991543$ |
$16$ |
[0,8] |
$17^{15}\cdot 67^{8}$ |
$2$ |
$116.569052152$ |
$116.56905215178652$ |
|
|
? |
$D_8:C_8$ (as 16T260) |
$[8, 16]$ |
$2$ |
$7$ |
$141428679.325$ |
16.0.582...641.2 |
$x^{16} - 2 x^{15} + 75 x^{14} - 375 x^{13} + 3106 x^{12} - 4679 x^{11} - 108941 x^{10} + 1419676 x^{9} - 2696526 x^{8} - 21246331 x^{7} + 166298404 x^{6} - 479007815 x^{5} - 51797314 x^{4} + 5658707593 x^{3} - 7312336230 x^{2} - 32602890292 x + 78854279291$ |
$16$ |
[0,8] |
$41^{9}\cdot 59^{12}$ |
$2$ |
$171.921395672$ |
$548.6872687881465$ |
|
|
? |
$D_8:C_8$ (as 16T260) |
$[6]$ |
$2$ |
$7$ |
$43814744973.8$ |
16.0.202...041.6 |
$x^{16} - 2 x^{15} - 26 x^{14} - 247 x^{13} + 2357 x^{12} - 25713 x^{11} + 160951 x^{10} - 425048 x^{9} + 11589258 x^{8} - 97134971 x^{7} + 48261497 x^{6} + 1424825846 x^{5} + 1551213890 x^{4} - 39285105450 x^{3} + 118568037753 x^{2} - 144221692018 x + 64667028003$ |
$16$ |
[0,8] |
$23^{12}\cdot 41^{13}$ |
$2$ |
$214.626211975$ |
$270.695945944019$ |
|
|
|
$D_8:C_8$ (as 16T260) |
$[2, 2, 2, 4, 12]$ |
$2$ |
$7$ |
$10710950383.0$ |
16.0.349...721.1 |
$x^{16} - 6 x^{15} - 146 x^{14} + 822 x^{13} + 9857 x^{12} - 34753 x^{11} - 430991 x^{10} - 170920 x^{9} + 7676074 x^{8} + 35576212 x^{7} + 165000919 x^{6} + 661782541 x^{5} + 1624056654 x^{4} + 1264951561 x^{3} + 112953200 x^{2} + 3583260107 x + 27286024997$ |
$16$ |
[0,8] |
$41^{9}\cdot 83^{12}$ |
$2$ |
$222.074906887$ |
$708.7522390665188$ |
|
|
? |
$D_8:C_8$ (as 16T260) |
$[30]$ |
$2$ |
$7$ |
$58262717024.6$ |
16.0.689...049.5 |
$x^{16} - 24 x^{14} - 413 x^{13} + 2537 x^{12} - 16062 x^{11} + 269865 x^{10} - 1530825 x^{9} + 8165048 x^{8} - 65792209 x^{7} + 251387127 x^{6} - 992861822 x^{5} + 5518502641 x^{4} - 11902179377 x^{3} + 44950407942 x^{2} - 211399377596 x + 288557906703$ |
$16$ |
[0,8] |
$11^{12}\cdot 89^{13}$ |
$2$ |
$231.698858548$ |
$306.73318888072157$ |
|
|
|
$D_8:C_8$ (as 16T260) |
$[4, 4]$ |
$2$ |
$7$ |
$946035934551$ |
16.0.728...281.6 |
$x^{16} - 4 x^{15} + 28 x^{14} + 555 x^{13} + 1002 x^{12} + 30608 x^{11} + 82171 x^{10} + 129865 x^{9} + 14421522 x^{8} + 42000027 x^{7} - 204896052 x^{6} - 2140918182 x^{5} - 129649338 x^{4} + 21789615908 x^{3} + 168484169151 x^{2} + 477508143788 x + 1291248197075$ |
$16$ |
[0,8] |
$31^{12}\cdot 41^{13}$ |
$2$ |
$268.477660014$ |
$338.6157425676776$ |
|
|
|
$D_8:C_8$ (as 16T260) |
$[4, 12]$ |
$2$ |
$7$ |
$582788719537$ |
16.0.786...177.5 |
$x^{16} - 6 x^{15} - 101 x^{14} + 850 x^{13} + 1534 x^{12} - 35066 x^{11} + 136101 x^{10} + 39761 x^{9} - 3371036 x^{8} + 14774315 x^{7} - 18720912 x^{6} - 13870987 x^{5} + 345816880 x^{4} - 2092377208 x^{3} + 5795387679 x^{2} - 18442347063 x + 36752433199$ |
$16$ |
[0,8] |
$43^{8}\cdot 97^{13}$ |
$2$ |
$269.76540957$ |
$359.05377344895084$ |
|
|
? |
$D_8:C_8$ (as 16T260) |
$[2, 4, 8]$ |
$2$ |
$7$ |
$66420577588.9$ |
16.0.966...033.9 |
$x^{16} - 2 x^{15} - 189 x^{14} - 1329 x^{13} + 29338 x^{12} + 275627 x^{11} - 1814397 x^{10} - 29359470 x^{9} + 74993769 x^{8} + 2204480747 x^{7} + 76437998 x^{6} - 96096389750 x^{5} + 104869687622 x^{4} + 3826741307380 x^{3} + 1482211608009 x^{2} - 59659550358172 x + 85829254185005$ |
$16$ |
[0,8] |
$71^{12}\cdot 73^{9}$ |
$2$ |
$273.251698628$ |
$1044.362487873602$ |
|
|
? |
$D_8:C_8$ (as 16T260) |
$[2, 14]$ |
$2$ |
$7$ |
$378844007220$ |