| 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 |
| 16.0.55895067029733376.1 |
$x^{16} - 2 x^{14} + x^{12} + 6 x^{10} + 12 x^{8} - 6 x^{6} + x^{4} + 2 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 31^{8}$ |
$2$ |
$11.135528725660043$ |
$19.736544806437948$ |
|
|
? |
$\SL(2,3):C_2$ (as 16T60) |
trivial |
$4$ |
$7$ |
$86.17860220451004$ |
| 16.0.97906861202319841.1 |
$x^{16} - 3 x^{15} + 3 x^{14} - 3 x^{13} + 2 x^{12} - x^{11} + 13 x^{10} - 23 x^{9} + 19 x^{8} - 3 x^{7} - 9 x^{6} - 2 x^{5} + 2 x^{4} - x^{3} + 4 x^{2} + x + 1$ |
$16$ |
[0,8] |
$7^{8}\cdot 19^{8}$ |
$2$ |
$11.532562594670797$ |
$18.838721275076466$ |
|
|
|
$\SL(2,3):C_2$ (as 16T60) |
trivial |
$2$ |
$7$ |
$74.34318360699405$ |
| 16.0.99038527051792384.3 |
$x^{16} + 4 x^{12} - 8 x^{10} - 6 x^{8} + 8 x^{6} + 4 x^{4} + 1$ |
$16$ |
[0,8] |
$2^{34}\cdot 7^{8}$ |
$2$ |
$11.5408490537$ |
$15.962004691864726$ |
|
|
? |
$\SL(2,3):C_2$ (as 16T60) |
trivial |
$4$ |
$7$ |
$179.508982567$ |
| 16.0.731086699811838561.1 |
$x^{16} - 3 x^{15} + 6 x^{14} - 4 x^{13} - x^{12} + 15 x^{11} - 27 x^{10} + 32 x^{9} - 12 x^{8} - 23 x^{7} + 55 x^{6} - 57 x^{5} + 43 x^{4} - 23 x^{3} + 9 x^{2} - x + 1$ |
$16$ |
[0,8] |
$3^{16}\cdot 19^{8}$ |
$2$ |
$13.076696830622021$ |
$18.859860385004858$ |
|
|
? |
$\SL(2,3):C_2$ (as 16T60) |
trivial |
$2$ |
$7$ |
$188.5109795655095$ |
| 16.0.739537035580145664.1 |
$x^{16} - 4 x^{15} + 14 x^{14} - 28 x^{13} + 58 x^{12} - 88 x^{11} + 146 x^{10} - 176 x^{9} + 212 x^{8} - 180 x^{7} + 150 x^{6} - 92 x^{5} + 58 x^{4} - 28 x^{3} + 10 x^{2} - 4 x + 1$ |
$16$ |
[0,8] |
$2^{34}\cdot 3^{16}$ |
$2$ |
$13.086092792$ |
$18.87341170624049$ |
|
|
? |
$\SL(2,3):C_2$ (as 16T60) |
trivial |
$4$ |
$7$ |
$926.908388825$ |
| 16.0.158...144.8 |
$x^{16} - 4 x^{14} + 4 x^{12} - 4 x^{10} + 10 x^{8} + 4 x^{6} + 4 x^{4} + 4 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{38}\cdot 7^{8}$ |
$2$ |
$13.724459807833314$ |
$18.982129549272347$ |
|
|
? |
$\SL(2,3):C_2$ (as 16T60) |
trivial |
$4$ |
$7$ |
$1412.0195181763331$ |
| 16.0.266...601.1 |
$x^{16} - x^{15} - 2 x^{14} + 8 x^{13} + 10 x^{12} - 19 x^{11} - 4 x^{10} + 64 x^{9} + 12 x^{8} - 94 x^{7} + 38 x^{6} + 119 x^{5} - 64 x^{4} - 97 x^{3} + 48 x^{2} + 11 x + 1$ |
$16$ |
[0,8] |
$3^{8}\cdot 67^{8}$ |
$2$ |
$14.177446878757825$ |
$28.57220971835363$ |
|
|
? |
$\SL(2,3):C_2$ (as 16T60) |
trivial |
$6$ |
$7$ |
$1060.7354232850764$ |
| 16.0.364...121.1 |
$x^{16} - 2 x^{13} + 4 x^{12} + 5 x^{10} - 6 x^{9} + 6 x^{8} + 7 x^{7} + 10 x^{6} - 6 x^{5} + 19 x^{4} + 7 x^{3} + 5 x^{2} - 2 x + 1$ |
$16$ |
[0,8] |
$11^{8}\cdot 19^{8}$ |
$2$ |
$14.45683229480096$ |
$23.615586898971756$ |
|
|
? |
$\SL(2,3):C_2$ (as 16T60) |
trivial |
$2$ |
$7$ |
$395.4582960969128$ |
| 16.0.529...441.1 |
$x^{16} - 5 x^{15} + 10 x^{14} - 2 x^{13} - 32 x^{12} + 79 x^{11} - 97 x^{10} + 53 x^{9} + 57 x^{8} - 221 x^{7} + 422 x^{6} - 590 x^{5} + 647 x^{4} - 545 x^{3} + 345 x^{2} - 164 x + 43$ |
$16$ |
[0,8] |
$3^{8}\cdot 73^{8}$ |
$2$ |
$14.798648586948742$ |
$30.253516886595015$ |
|
|
? |
$\SL(2,3):C_2$ (as 16T60) |
trivial |
$6$ |
$7$ |
$1514.4172481110295$ |
| 16.0.308...281.2 |
$x^{16} - 5 x^{15} + 31 x^{13} - 8 x^{12} - 101 x^{11} + 7 x^{10} + 183 x^{9} + 32 x^{8} - 183 x^{7} - 61 x^{6} + 112 x^{5} + 78 x^{4} - 9 x^{3} - 28 x^{2} - 7 x + 7$ |
$16$ |
[0,8] |
$3^{8}\cdot 7^{8}\cdot 13^{8}$ |
$3$ |
$16.522711641858304$ |
$35.04194650073235$ |
|
|
|
$\SL(2,3):C_2$ (as 16T60) |
trivial |
$6$ |
$7$ |
$7145.924896370814$ |
| 16.0.673...401.1 |
$x^{16} - 8 x^{15} + 27 x^{14} - 42 x^{13} + 7 x^{12} + 106 x^{11} - 244 x^{10} + 277 x^{9} - 100 x^{8} - 234 x^{7} + 497 x^{6} - 503 x^{5} + 333 x^{4} - 154 x^{3} + 43 x^{2} - 6 x + 1$ |
$16$ |
[0,8] |
$7^{8}\cdot 43^{8}$ |
$2$ |
$17.349351572897472$ |
$23.99567223510292$ |
|
|
? |
$\SL(2,3):C_2$ (as 16T60) |
trivial |
$2$ |
$7$ |
$1891.5252438455852$ |
| 16.0.831...321.1 |
$x^{16} - 3 x^{15} - 6 x^{14} + 24 x^{13} + 4 x^{12} - 84 x^{11} + 27 x^{10} + 195 x^{9} - 3 x^{8} - 195 x^{7} + 27 x^{6} + 84 x^{5} + 4 x^{4} - 24 x^{3} - 6 x^{2} + 3 x + 1$ |
$16$ |
[0,8] |
$3^{8}\cdot 103^{8}$ |
$2$ |
$17.578395831246947$ |
$38.0585388267201$ |
|
|
|
$\SL(2,3):C_2$ (as 16T60) |
trivial |
$6$ |
$7$ |
$10329.88061347109$ |
| 16.0.224...624.1 |
$x^{16} + 24 x^{12} - 40 x^{10} + 4 x^{8} + 8 x^{6} + 16 x^{4} - 16 x^{2} + 4$ |
$16$ |
[0,8] |
$2^{38}\cdot 13^{8}$ |
$2$ |
$18.703286041376398$ |
$28.67973546854811$ |
|
|
? |
$\SL(2,3):C_2$ (as 16T60) |
trivial |
$4$ |
$7$ |
$6978.185799331702$ |
| 16.0.642...801.4 |
$x^{16} - 4 x^{15} + 18 x^{14} - 45 x^{13} + 125 x^{12} - 216 x^{11} + 371 x^{10} - 334 x^{9} + 345 x^{8} - 74 x^{7} + 44 x^{6} - 84 x^{5} + 50 x^{4} - 24 x^{3} + 12 x^{2} - 5 x + 1$ |
$16$ |
[0,8] |
$3^{8}\cdot 7^{8}\cdot 19^{8}$ |
$3$ |
$19.974984355438178$ |
$45.129624639238735$ |
|
|
? |
$\SL(2,3):C_2$ (as 16T60) |
trivial |
$6$ |
$7$ |
$9450.616061339868$ |
| 16.0.695...961.1 |
$x^{16} - 4 x^{15} + 3 x^{14} + 10 x^{13} + 7 x^{12} - 52 x^{11} - 16 x^{10} + 40 x^{9} + 84 x^{8} + 4 x^{7} + 26 x^{6} + x^{5} - 12 x^{4} - 22 x^{3} + 5 x + 1$ |
$16$ |
[0,8] |
$13^{8}\cdot 31^{8}$ |
$2$ |
$20.074859899884732$ |
$30.78291537771342$ |
|
|
|
$\SL(2,3):C_2$ (as 16T60) |
$[3]$ |
$2$ |
$7$ |
$4496.115300995436$ |
| 16.0.177...761.1 |
$x^{16} - 5 x^{15} + 22 x^{14} - 61 x^{13} + 162 x^{12} - 363 x^{11} + 740 x^{10} - 1191 x^{9} + 1471 x^{8} - 1191 x^{7} + 740 x^{6} - 363 x^{5} + 162 x^{4} - 61 x^{3} + 22 x^{2} - 5 x + 1$ |
$16$ |
[0,8] |
$3^{8}\cdot 151^{8}$ |
$2$ |
$21.283796653792763$ |
$49.114748617819366$ |
|
|
|
$\SL(2,3):C_2$ (as 16T60) |
$[2]$ |
$6$ |
$7$ |
$17135.00732549666$ |
| 16.0.230...776.1 |
$x^{16} - 8 x^{14} + 26 x^{12} + 32 x^{10} + 11 x^{8} - 32 x^{6} + 26 x^{4} + 8 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{16}\cdot 13^{8}$ |
$3$ |
$21.633307652783937$ |
$47.84323859612865$ |
|
|
? |
$\SL(2,3):C_2$ (as 16T60) |
trivial |
$4$ |
$7$ |
$57285.298445406566$ |
| 16.0.372...561.1 |
$x^{16} - 7 x^{15} + 34 x^{14} - 128 x^{13} + 390 x^{12} - 969 x^{11} + 1995 x^{10} - 3441 x^{9} + 4944 x^{8} - 5822 x^{7} + 5522 x^{6} - 4217 x^{5} + 2591 x^{4} - 1216 x^{3} + 428 x^{2} - 112 x + 16$ |
$16$ |
[0,8] |
$7^{8}\cdot 71^{8}$ |
$2$ |
$22.293496809607955$ |
$30.833857978493015$ |
|
|
|
$\SL(2,3):C_2$ (as 16T60) |
$[7]$ |
$2$ |
$7$ |
$12830.101171045697$ |
| 16.0.466...704.1 |
$x^{16} - 8 x^{14} + 4 x^{12} + 120 x^{10} + 198 x^{8} - 120 x^{6} + 4 x^{4} + 8 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{38}\cdot 19^{8}$ |
$2$ |
$22.611170258840176$ |
$36.93589613868019$ |
|
|
? |
$\SL(2,3):C_2$ (as 16T60) |
trivial |
$4$ |
$7$ |
$60925.785768593894$ |
| 16.0.641...776.1 |
$x^{16} - 8 x^{14} + 42 x^{12} - 32 x^{10} + 27 x^{8} + 32 x^{6} + 42 x^{4} + 8 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 7^{8}\cdot 19^{8}$ |
$3$ |
$23.065125189341593$ |
$52.1112018677825$ |
|
|
? |
$\SL(2,3):C_2$ (as 16T60) |
trivial |
$4$ |
$7$ |
$42037.64675523009$ |
| 16.0.126...561.1 |
$x^{16} - 18 x^{12} + 101 x^{10} + 99 x^{8} - 1098 x^{6} + 3043 x^{4} - 738 x^{2} + 81$ |
$16$ |
[0,8] |
$3^{8}\cdot 193^{8}$ |
$2$ |
$24.06241883103193$ |
$57.84495666195181$ |
|
|
|
$\SL(2,3):C_2$ (as 16T60) |
trivial |
$6$ |
$7$ |
$111373.81357895723$ |
| 16.0.129...841.1 |
$x^{16} - 5 x^{15} + 15 x^{14} - 39 x^{13} + 93 x^{12} - 146 x^{11} + 220 x^{10} - 289 x^{9} + 292 x^{8} - 260 x^{7} + 244 x^{6} - 213 x^{5} + 161 x^{4} - 28 x^{3} + 43 x^{2} - 35 x + 27$ |
$16$ |
[0,8] |
$7^{8}\cdot 83^{8}$ |
$2$ |
$24.1039415863879$ |
$33.33786161694775$ |
|
|
|
$\SL(2,3):C_2$ (as 16T60) |
$[3]$ |
$2$ |
$7$ |
$30186.465793740554$ |
| 16.0.410...561.1 |
$x^{16} - 2 x^{15} + 9 x^{14} - 25 x^{13} + 55 x^{12} - 118 x^{11} + 150 x^{10} - 57 x^{9} + 224 x^{8} + 235 x^{7} + 370 x^{6} + 214 x^{5} + 227 x^{4} + 178 x^{3} + 119 x^{2} + 70 x + 25$ |
$16$ |
[0,8] |
$11^{8}\cdot 61^{8}$ |
$2$ |
$25.903667693977237$ |
$51.3944511582871$ |
|
|
? |
$\SL(2,3):C_2$ (as 16T60) |
$[2]$ |
$2$ |
$7$ |
$37053.591595285565$ |
| 16.0.479...696.1 |
$x^{16} - 6 x^{15} + 9 x^{14} + 18 x^{13} - 58 x^{12} - 18 x^{11} + 255 x^{10} - 784 x^{9} + 2547 x^{8} - 6646 x^{7} + 13670 x^{6} - 23724 x^{5} + 33892 x^{4} - 38784 x^{3} + 33984 x^{2} - 19456 x + 5120$ |
$16$ |
[0,8] |
$2^{16}\cdot 3^{16}\cdot 19^{8}$ |
$3$ |
$26.153393661244042$ |
$61.61608058284378$ |
|
|
|
$\SL(2,3):C_2$ (as 16T60) |
$[2]$ |
$4$ |
$7$ |
$232461.14364116386$ |
| 16.0.502...896.2 |
$x^{16} - 4 x^{14} + 19 x^{12} - 12 x^{10} + 57 x^{8} + 48 x^{6} + 304 x^{4} + 256 x^{2} + 256$ |
$16$ |
[0,8] |
$2^{32}\cdot 43^{8}$ |
$2$ |
$26.229754097208$ |
$49.09519187808584$ |
|
|
|
$\SL(2,3):C_2$ (as 16T60) |
trivial |
$4$ |
$7$ |
$370631.06043669296$ |
| 16.0.531...001.1 |
$x^{16} - 5 x^{15} + 48 x^{13} - 71 x^{12} - 144 x^{11} + 407 x^{10} + 127 x^{9} - 1131 x^{8} + 362 x^{7} + 2021 x^{6} - 1806 x^{5} - 1511 x^{4} + 2595 x^{3} - 222 x^{2} - 1177 x + 517$ |
$16$ |
[0,8] |
$3^{16}\cdot 7^{8}\cdot 11^{8}$ |
$3$ |
$26.324893162176366$ |
$52.51177625135337$ |
|
|
|
$\SL(2,3):C_2$ (as 16T60) |
$[2]$ |
$2$ |
$7$ |
$49121.45359495154$ |
| 16.0.603...464.5 |
$x^{16} - 8 x^{14} - 12 x^{12} + 184 x^{10} + 486 x^{8} - 184 x^{6} - 12 x^{4} + 8 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{34}\cdot 37^{8}$ |
$2$ |
$26.53319830102679$ |
$48.434693612832795$ |
|
|
? |
$\SL(2,3):C_2$ (as 16T60) |
trivial |
$4$ |
$7$ |
$298164.9558625567$ |
| 16.0.667...921.1 |
$x^{16} - 4 x^{15} + 6 x^{14} + 5 x^{13} - 31 x^{12} + 42 x^{11} + 89 x^{10} - 420 x^{9} + 603 x^{8} - 141 x^{7} - 650 x^{6} + 801 x^{5} - 144 x^{4} - 503 x^{3} + 563 x^{2} - 275 x + 59$ |
$16$ |
[0,8] |
$23^{8}\cdot 31^{8}$ |
$2$ |
$26.70205984563738$ |
$47.326571871994524$ |
|
|
|
$\SL(2,3):C_2$ (as 16T60) |
$[3]$ |
$2$ |
$7$ |
$15677.456455455673$ |
| 16.0.788...536.2 |
$x^{16} - 8 x^{14} - 14 x^{12} + 192 x^{10} + 531 x^{8} - 192 x^{6} - 14 x^{4} + 8 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{24}\cdot 7^{8}\cdot 13^{8}$ |
$3$ |
$26.981475126464083$ |
$57.223259013800515$ |
|
|
|
$\SL(2,3):C_2$ (as 16T60) |
trivial |
$4$ |
$7$ |
$323953.0993556797$ |
| 16.0.132...481.1 |
$x^{16} - 8 x^{15} + 14 x^{14} + 32 x^{13} - 79 x^{12} - 132 x^{11} + 357 x^{10} - 242 x^{9} + 1077 x^{8} - 2560 x^{7} + 2625 x^{6} - 3438 x^{5} + 3832 x^{4} - 1912 x^{3} + 1659 x^{2} - 626 x + 76$ |
$16$ |
[0,8] |
$3^{8}\cdot 7^{8}\cdot 37^{8}$ |
$3$ |
$27.874719729532707$ |
$70.37641448184829$ |
|
|
|
$\SL(2,3):C_2$ (as 16T60) |
trivial |
$6$ |
$7$ |
$1764296.9284942013$ |
| 16.0.202...641.1 |
$x^{16} - 7 x^{15} + 31 x^{14} - 93 x^{13} + 202 x^{12} - 300 x^{11} + 277 x^{10} + 65 x^{9} - 605 x^{8} + 1100 x^{7} - 946 x^{6} + 740 x^{5} + 640 x^{4} - 1463 x^{3} + 715 x^{2} - 42 x + 28$ |
$16$ |
[0,8] |
$3^{16}\cdot 7^{8}\cdot 13^{8}$ |
$3$ |
$28.61817604250837$ |
$63.2906556206417$ |
|
|
|
$\SL(2,3):C_2$ (as 16T60) |
$[2]$ |
$2$ |
$7$ |
$244244.4706544247$ |
| 16.0.275...801.1 |
$x^{16} - 5 x^{14} + 46 x^{12} - 144 x^{10} + 575 x^{8} - 1079 x^{6} + 2391 x^{4} - 2217 x^{2} + 2704$ |
$16$ |
[0,8] |
$23^{8}\cdot 37^{8}$ |
$2$ |
$29.171904291629644$ |
$53.25148632433377$ |
|
|
|
$\SL(2,3):C_2$ (as 16T60) |
$[3]$ |
$2$ |
$7$ |
$716382.0233516465$ |
| 16.0.390...681.1 |
$x^{16} - 7 x^{15} + 33 x^{14} - 115 x^{13} + 348 x^{12} - 941 x^{11} + 2106 x^{10} - 3786 x^{9} + 5777 x^{8} - 7857 x^{7} + 9275 x^{6} - 9112 x^{5} + 7177 x^{4} - 4130 x^{3} + 1464 x^{2} - 248 x + 16$ |
$16$ |
[0,8] |
$7^{8}\cdot 127^{8}$ |
$2$ |
$29.816103031751148$ |
$41.23828102000196$ |
|
|
|
$\SL(2,3):C_2$ (as 16T60) |
$[10]$ |
$2$ |
$7$ |
$19499.517023879558$ |
| 16.0.442...961.1 |
$x^{16} - 7 x^{15} + 6 x^{14} + 76 x^{13} - 237 x^{12} - 21 x^{11} + 1135 x^{10} - 1274 x^{9} - 2091 x^{8} + 4085 x^{7} + 5893 x^{6} - 25368 x^{5} + 35580 x^{4} - 27238 x^{3} + 12030 x^{2} - 2852 x + 283$ |
$16$ |
[0,8] |
$3^{8}\cdot 7^{8}\cdot 43^{8}$ |
$3$ |
$30.04995840263344$ |
$77.79260076656647$ |
|
|
|
$\SL(2,3):C_2$ (as 16T60) |
$[4]$ |
$6$ |
$7$ |
$96563.24170364339$ |
| 16.0.495...496.1 |
$x^{16} - 8 x^{14} + 10 x^{12} + 96 x^{10} + 123 x^{8} - 96 x^{6} + 10 x^{4} + 8 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{16}\cdot 229^{8}$ |
$2$ |
$30.265491900843113$ |
$74.86065980296424$ |
|
|
? |
$\SL(2,3):C_2$ (as 16T60) |
trivial |
$4$ |
$7$ |
$619245.9450409326$ |
| 16.0.739...921.1 |
$x^{16} - 8 x^{15} + 13 x^{14} + 40 x^{13} - 132 x^{12} + 67 x^{11} + 249 x^{10} - 532 x^{9} + 603 x^{8} - 191 x^{7} - 134 x^{6} - 86 x^{5} + 221 x^{4} - 212 x^{3} + 122 x^{2} - 6 x + 1$ |
$16$ |
[0,8] |
$3^{16}\cdot 107^{8}$ |
$2$ |
$31.0322412983658$ |
$44.75623667824389$ |
|
|
|
$\SL(2,3):C_2$ (as 16T60) |
$[3]$ |
$2$ |
$7$ |
$152699.10185025248$ |
| 16.0.803...481.1 |
$x^{16} - 4 x^{15} - 5 x^{14} + 25 x^{13} + 6 x^{12} - 60 x^{11} + 17 x^{10} + 479 x^{9} + 284 x^{8} - 876 x^{7} - 325 x^{6} - 723 x^{5} + 1556 x^{4} + 356 x^{3} - 934 x^{2} - 187 x + 445$ |
$16$ |
[0,8] |
$7^{8}\cdot 139^{8}$ |
$2$ |
$31.192947920964443$ |
$43.14257805043105$ |
|
|
? |
$\SL(2,3):C_2$ (as 16T60) |
$[3]$ |
$2$ |
$7$ |
$184198.27822632904$ |
| 16.16.937...216.1 |
$x^{16} - 24 x^{14} + 198 x^{12} - 704 x^{10} + 1195 x^{8} - 960 x^{6} + 326 x^{4} - 40 x^{2} + 1$ |
$16$ |
[16,0] |
$2^{40}\cdot 31^{8}$ |
$2$ |
$31.496031496$ |
$55.82337867929763$ |
|
|
? |
$\SL(2,3):C_2$ (as 16T60) |
trivial |
$2$ |
$15$ |
$9006142.28482$ |
| 16.0.937...216.1 |
$x^{16} + 24 x^{14} + 198 x^{12} + 704 x^{10} + 1195 x^{8} + 960 x^{6} + 326 x^{4} + 40 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{40}\cdot 31^{8}$ |
$2$ |
$31.496031496$ |
$55.82337867929763$ |
✓ |
|
? |
$\SL(2,3):C_2$ (as 16T60) |
$[2, 2]$ |
$2$ |
$7$ |
$44466.4378407$ |
| 16.0.960...625.1 |
$x^{16} + 27 x^{14} + 284 x^{12} + 1477 x^{10} + 3993 x^{8} + 5374 x^{6} + 3061 x^{4} + 436 x^{2} + 16$ |
$16$ |
[0,8] |
$5^{8}\cdot 199^{8}$ |
$2$ |
$31.54362059117501$ |
$76.21732807249236$ |
✓ |
|
? |
$\SL(2,3):C_2$ (as 16T60) |
trivial |
$2$ |
$7$ |
$160080.2684628179$ |
| 16.0.100...001.1 |
$x^{16} - 11 x^{14} + 71 x^{12} - 276 x^{10} + 841 x^{8} - 1031 x^{6} + 2204 x^{4} - 9 x^{2} + 81$ |
$16$ |
[0,8] |
$7^{8}\cdot 11^{8}\cdot 13^{8}$ |
$3$ |
$31.63858403911275$ |
$67.10021897669702$ |
|
|
? |
$\SL(2,3):C_2$ (as 16T60) |
trivial |
$2$ |
$7$ |
$504464.7208931444$ |
| 16.0.106...216.1 |
$x^{16} - 8 x^{14} + 14 x^{12} + 80 x^{10} + 83 x^{8} - 80 x^{6} + 14 x^{4} + 8 x^{2} + 1$ |
$16$ |
[0,8] |
$2^{32}\cdot 3^{16}\cdot 7^{8}$ |
$3$ |
$31.74901573277509$ |
$63.33158505484892$ |
|
|
|
$\SL(2,3):C_2$ (as 16T60) |
trivial |
$4$ |
$7$ |
$407231.4323537677$ |
| 16.0.113...296.1 |
$x^{16} - 8 x^{15} + 20 x^{14} - 18 x^{13} + 77 x^{12} - 354 x^{11} + 506 x^{10} - 354 x^{9} + 1380 x^{8} - 3072 x^{7} + 2896 x^{6} - 4670 x^{5} + 8653 x^{4} - 6766 x^{3} + 4658 x^{2} - 6902 x + 4069$ |
$16$ |
[0,8] |
$2^{24}\cdot 127^{8}$ |
$2$ |
$31.874754901018456$ |
$71.4629281966426$ |
|
|
|
$\SL(2,3):C_2$ (as 16T60) |
trivial |
$4$ |
$7$ |
$840082.7523331833$ |
| 16.0.132...456.1 |
$x^{16} - 18 x^{14} + 65 x^{12} + 342 x^{10} - 1124 x^{8} - 3078 x^{6} + 5265 x^{4} + 13122 x^{2} + 6561$ |
$16$ |
[0,8] |
$2^{16}\cdot 7^{8}\cdot 37^{8}$ |
$3$ |
$32.18695387886216$ |
$81.26368369139158$ |
|
|
|
$\SL(2,3):C_2$ (as 16T60) |
trivial |
$4$ |
$7$ |
$2510915.0900423303$ |
| 16.0.175...081.1 |
$x^{16} - x^{15} + 13 x^{14} - 9 x^{13} + 72 x^{12} + 9 x^{11} + 238 x^{10} + 353 x^{9} + 512 x^{8} + 970 x^{7} + 228 x^{6} - 309 x^{5} - 453 x^{4} - 624 x^{3} + 687 x^{2} - 157 x + 13$ |
$16$ |
[0,8] |
$29^{8}\cdot 37^{8}$ |
$2$ |
$32.7566787083$ |
$59.79526776272607$ |
✓ |
|
? |
$\SL(2,3):C_2$ (as 16T60) |
trivial |
$2$ |
$7$ |
$310200.468169$ |
| 16.0.183...561.1 |
$x^{16} - 8 x^{15} + 44 x^{14} - 168 x^{13} + 560 x^{12} - 1540 x^{11} + 3923 x^{10} - 8549 x^{9} + 17006 x^{8} - 28522 x^{7} + 42535 x^{6} - 52131 x^{5} + 56108 x^{4} - 47260 x^{3} + 34391 x^{2} - 16390 x + 6431$ |
$16$ |
[0,8] |
$13^{8}\cdot 83^{8}$ |
$2$ |
$32.848135411313685$ |
$50.36953571406726$ |
|
|
? |
$\SL(2,3):C_2$ (as 16T60) |
$[3]$ |
$2$ |
$7$ |
$198492.94156377652$ |
| 16.0.212...201.1 |
$x^{16} - 8 x^{15} + 18 x^{14} + 14 x^{13} - 92 x^{12} + 6 x^{11} + 374 x^{10} - 638 x^{9} + 1272 x^{8} - 3482 x^{7} + 4910 x^{6} - 2868 x^{5} + 553 x^{4} - 304 x^{3} + 62 x^{2} + 182 x + 37$ |
$16$ |
[0,8] |
$7^{8}\cdot 157^{8}$ |
$2$ |
$33.15116890850155$ |
$76.99847461221839$ |
|
|
|
$\SL(2,3):C_2$ (as 16T60) |
trivial |
$2$ |
$7$ |
$244712.07470387022$ |
| 16.0.215...801.1 |
$x^{16} - 6 x^{15} + 16 x^{14} - 4 x^{13} - 98 x^{12} + 320 x^{11} - 237 x^{10} - 749 x^{9} + 3414 x^{8} - 5328 x^{7} + 6404 x^{6} - 2599 x^{5} + 3587 x^{4} + 3679 x^{3} + 5855 x^{2} + 6391 x + 3523$ |
$16$ |
[0,8] |
$3^{8}\cdot 367^{8}$ |
$2$ |
$33.18132004607411$ |
$88.78467382460151$ |
|
|
? |
$\SL(2,3):C_2$ (as 16T60) |
trivial |
$6$ |
$7$ |
$995091.3687854619$ |
| 16.0.227...816.1 |
$x^{16} - 6 x^{15} + 4 x^{14} + 50 x^{13} - 80 x^{12} - 358 x^{11} + 1306 x^{10} - 894 x^{9} - 2096 x^{8} + 3134 x^{7} + 2484 x^{6} - 7610 x^{5} + 2737 x^{4} + 9468 x^{3} - 7240 x^{2} - 2704 x + 4304$ |
$16$ |
[0,8] |
$2^{16}\cdot 277^{8}$ |
$2$ |
$33.28663395418648$ |
$84.98647997189045$ |
|
|
|
$\SL(2,3):C_2$ (as 16T60) |
$[2]$ |
$4$ |
$7$ |
$1790363.3299759408$ |
| 16.0.291...201.1 |
$x^{16} - 8 x^{15} + 23 x^{14} - 12 x^{13} - 48 x^{12} + 8 x^{11} + 54 x^{10} + 339 x^{9} - 208 x^{8} - 1179 x^{7} + 594 x^{6} + 1628 x^{5} + 528 x^{4} - 2160 x^{3} + 128 x^{2} + 2816 x + 2048$ |
$16$ |
[0,8] |
$3^{16}\cdot 127^{8}$ |
$2$ |
$33.80828300875393$ |
$48.75998164220662$ |
|
|
|
$\SL(2,3):C_2$ (as 16T60) |
$[5]$ |
$2$ |
$7$ |
$1597822.0999014839$ |
