| Label |
$p$ |
$n$ |
$n_0$ |
$n_{\mathrm{abs}}$ |
$f$ |
$f_0$ |
$f_{\mathrm{abs}}$ |
$e$ |
$e_0$ |
$e_{\mathrm{abs}}$ |
$c$ |
$c_0$ |
$c_{\mathrm{abs}}$ |
Base |
Abs. Artin slopes |
Swan slopes |
Means |
Rams |
Generic poly |
Ambiguity |
Field count |
Mass |
Mass (absolute) |
Mass stored |
Mass found |
Wild segments |
| 2.2.4.16b2.8-2.1.0a |
$2$ |
$2$ |
$8$ |
$16$ |
$2$ |
$2$ |
$4$ |
$1$ |
$4$ |
$4$ |
$0$ |
$16$ |
$10$ |
2.2.4.16b2.8 |
$[2, 3]$ |
$[ ]$ |
$\langle \rangle$ |
$( )$ |
$x$ |
$2$ |
$1$ |
$1$ |
$1/8$ |
$1/8$ |
$100\%$ |
$0$ |
| 2.2.4.16b2.8-1.2.2a |
$2$ |
$2$ |
$8$ |
$16$ |
$1$ |
$2$ |
$2$ |
$2$ |
$4$ |
$8$ |
$2$ |
$16$ |
$7$ |
2.2.4.16b2.8 |
$[2, 2, 3]$ |
$[1]$ |
$\langle\frac{1}{2}\rangle$ |
$(1)$ |
$x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ |
$2$ |
$4$ |
$3$ |
$3/4$ |
$3/4$ |
$100\%$ |
$1$ |
| 2.2.4.16b2.8-1.2.4a |
$2$ |
$2$ |
$8$ |
$16$ |
$1$ |
$2$ |
$2$ |
$2$ |
$4$ |
$8$ |
$4$ |
$16$ |
$9$ |
2.2.4.16b2.8 |
$[2, 3, 3]$ |
$[3]$ |
$\langle\frac{3}{2}\rangle$ |
$(3)$ |
$x^2 + (b_{5} \pi^3 + a_{3} \pi^2) x + c_{6} \pi^4 + \pi$ |
$2$ |
$10$ |
$12$ |
$3$ |
$47/16$ |
$97.92\%$ |
$1$ |
| 2.2.4.16b2.8-1.2.6a |
$2$ |
$2$ |
$8$ |
$16$ |
$1$ |
$2$ |
$2$ |
$2$ |
$4$ |
$8$ |
$6$ |
$16$ |
$11$ |
2.2.4.16b2.8 |
$[2, 3, \frac{7}{2}]$ |
$[5]$ |
$\langle\frac{5}{2}\rangle$ |
$(5)$ |
$x^2 + (b_{9} \pi^5 + b_{7} \pi^4 + a_{5} \pi^3) x + c_{10} \pi^6 + \pi$ |
$2$ |
$28$ |
$48$ |
$12$ |
$12$ |
$100\%$ |
$1$ |
| 2.2.4.16b2.8-1.2.8a |
$2$ |
$2$ |
$8$ |
$16$ |
$1$ |
$2$ |
$2$ |
$2$ |
$4$ |
$8$ |
$8$ |
$16$ |
$13$ |
2.2.4.16b2.8 |
$[2, 3, 4]$ |
$[7]$ |
$\langle\frac{7}{2}\rangle$ |
$(7)$ |
$x^2 + (b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5 + a_{7} \pi^4) x + c_{14} \pi^8 + \pi$ |
$2$ |
$108$ |
$192$ |
$48$ |
$48$ |
$100\%$ |
$1$ |
| 2.2.4.16b2.8-1.2.9a |
$2$ |
$2$ |
$8$ |
$16$ |
$1$ |
$2$ |
$2$ |
$2$ |
$4$ |
$8$ |
$9$ |
$16$ |
$14$ |
2.2.4.16b2.8 |
$[2, 3, \frac{17}{4}]$ |
$[8]$ |
$\langle4\rangle$ |
$(8)$ |
$x^2 + (b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5) x + c_{16} \pi^9 + \pi$ |
$2$ |
$128$ |
$256$ |
$64$ |
$64$ |
$100\%$ |
$1$ |
| 2.2.4.16b2.8-3.1.0a |
$2$ |
$3$ |
$8$ |
$24$ |
$3$ |
$2$ |
$6$ |
$1$ |
$4$ |
$4$ |
$0$ |
$16$ |
$15$ |
2.2.4.16b2.8 |
$[2, 3]$ |
$[ ]$ |
$\langle \rangle$ |
$( )$ |
$x$ |
$3$ |
$0$ |
$1$ |
$1/12$ |
$0$ |
$0\%$ |
$0$ |
| 2.2.4.16b2.8-1.3.2a |
$2$ |
$3$ |
$8$ |
$24$ |
$1$ |
$2$ |
$2$ |
$3$ |
$4$ |
$12$ |
$2$ |
$16$ |
$7$ |
2.2.4.16b2.8 |
$[2, 3]$ |
$[ ]$ |
$\langle \rangle$ |
$( )$ |
$x^3 + d_{0} \pi$ |
$3$ |
$0$ |
$1$ |
$1/4$ |
$0$ |
$0\%$ |
$0$ |
| 2.2.4.16b2.8-4.1.0a |
$2$ |
$4$ |
$8$ |
$32$ |
$4$ |
$2$ |
$8$ |
$1$ |
$4$ |
$4$ |
$0$ |
$16$ |
$20$ |
2.2.4.16b2.8 |
$[2, 3]$ |
$[ ]$ |
$\langle \rangle$ |
$( )$ |
$x$ |
$4$ |
$0$ |
$1$ |
$1/16$ |
$0$ |
$0\%$ |
$0$ |
| 2.2.4.16b2.8-2.2.4a |
$2$ |
$4$ |
$8$ |
$32$ |
$2$ |
$2$ |
$4$ |
$2$ |
$4$ |
$8$ |
$4$ |
$16$ |
$14$ |
2.2.4.16b2.8 |
$[2, 2, 3]$ |
$[1]$ |
$\langle\frac{1}{2}\rangle$ |
$(1)$ |
$x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ |
$4$ |
$0$ |
$15$ |
$15/8$ |
$0$ |
$0\%$ |
$1$ |
| 2.2.4.16b2.8-2.2.8a |
$2$ |
$4$ |
$8$ |
$32$ |
$2$ |
$2$ |
$4$ |
$2$ |
$4$ |
$8$ |
$8$ |
$16$ |
$18$ |
2.2.4.16b2.8 |
$[2, 3, 3]$ |
$[3]$ |
$\langle\frac{3}{2}\rangle$ |
$(3)$ |
$x^2 + (b_{5} \pi^3 + a_{3} \pi^2) x + c_{6} \pi^4 + \pi$ |
$4$ |
$0$ |
$240$ |
$30$ |
$0$ |
$0\%$ |
$1$ |
| 2.2.4.16b2.8-2.2.12a |
$2$ |
$4$ |
$8$ |
$32$ |
$2$ |
$2$ |
$4$ |
$2$ |
$4$ |
$8$ |
$12$ |
$16$ |
$22$ |
2.2.4.16b2.8 |
$[2, 3, \frac{7}{2}]$ |
$[5]$ |
$\langle\frac{5}{2}\rangle$ |
$(5)$ |
$x^2 + (b_{9} \pi^5 + b_{7} \pi^4 + a_{5} \pi^3) x + c_{10} \pi^6 + \pi$ |
$4$ |
$0$ |
$3840$ |
$480$ |
$0$ |
$0\%$ |
$1$ |
| 2.2.4.16b2.8-2.2.16a |
$2$ |
$4$ |
$8$ |
$32$ |
$2$ |
$2$ |
$4$ |
$2$ |
$4$ |
$8$ |
$16$ |
$16$ |
$26$ |
2.2.4.16b2.8 |
$[2, 3, 4]$ |
$[7]$ |
$\langle\frac{7}{2}\rangle$ |
$(7)$ |
$x^2 + (b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5 + a_{7} \pi^4) x + c_{14} \pi^8 + \pi$ |
$4$ |
$0$ |
$61440$ |
$7680$ |
$0$ |
$0\%$ |
$1$ |
| 2.2.4.16b2.8-2.2.18a |
$2$ |
$4$ |
$8$ |
$32$ |
$2$ |
$2$ |
$4$ |
$2$ |
$4$ |
$8$ |
$18$ |
$16$ |
$28$ |
2.2.4.16b2.8 |
$[2, 3, \frac{17}{4}]$ |
$[8]$ |
$\langle4\rangle$ |
$(8)$ |
$x^2 + (b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5) x + c_{16} \pi^9 + \pi$ |
$4$ |
$0$ |
$65536$ |
$8192$ |
$0$ |
$0\%$ |
$1$ |
| 2.2.4.16b2.8-1.4.4a |
$2$ |
$4$ |
$8$ |
$32$ |
$1$ |
$2$ |
$2$ |
$4$ |
$4$ |
$16$ |
$4$ |
$16$ |
$9$ |
2.2.4.16b2.8 |
$[\frac{4}{3}, \frac{4}{3}, 2, 3]$ |
$[\frac{1}{3}, \frac{1}{3}]$ |
$\langle\frac{1}{6}, \frac{1}{4}\rangle$ |
$(\frac{1}{3}, \frac{1}{3})$ |
$x^4 + a_{1} \pi x + \pi$ |
$1$ |
$0$ |
$3$ |
$3/4$ |
$0$ |
$0\%$ |
$1$ |
| 2.2.4.16b2.8-1.4.6a |
$2$ |
$4$ |
$8$ |
$32$ |
$1$ |
$2$ |
$2$ |
$4$ |
$4$ |
$16$ |
$6$ |
$16$ |
$11$ |
2.2.4.16b2.8 |
$[2, 2, 2, 3]$ |
$[1, 1]$ |
$\langle\frac{1}{2}, \frac{3}{4}\rangle$ |
$(1, 1)$ |
$x^4 + a_{3} \pi x^3 + b_{2} \pi x^2 + c_{4} \pi^2 + \pi$ |
$4$ |
$0$ |
$12$ |
$3$ |
$0$ |
$0\%$ |
$1$ |
| 2.2.4.16b2.8-1.4.8a |
$2$ |
$4$ |
$8$ |
$32$ |
$1$ |
$2$ |
$2$ |
$4$ |
$4$ |
$16$ |
$8$ |
$16$ |
$13$ |
2.2.4.16b2.8 |
$[2, \frac{7}{3}, \frac{7}{3}, 3]$ |
$[\frac{5}{3}, \frac{5}{3}]$ |
$\langle\frac{5}{6}, \frac{5}{4}\rangle$ |
$(\frac{5}{3}, \frac{5}{3})$ |
$x^4 + b_{6} \pi^2 x^2 + a_{5} \pi^2 x + \pi$ |
$1$ |
$0$ |
$12$ |
$3$ |
$0$ |
$0\%$ |
$1$ |
| 2.2.4.16b2.8-1.4.8b |
$2$ |
$4$ |
$8$ |
$32$ |
$1$ |
$2$ |
$2$ |
$4$ |
$4$ |
$16$ |
$8$ |
$16$ |
$13$ |
2.2.4.16b2.8 |
$[2, 2, \frac{5}{2}, 3]$ |
$[1, 2]$ |
$\langle\frac{1}{2}, \frac{5}{4}\rangle$ |
$(1, 3)$ |
$x^4 + b_{7} \pi^2 x^3 + a_{2} \pi x^2 + a_{5} \pi^2 x + c_{8} \pi^3 + c_{4} \pi^2 + \pi$ |
$4$ |
$0$ |
$36$ |
$9$ |
$0$ |
$0\%$ |
$2$ |
| 2.2.4.16b2.8-1.4.10a |
$2$ |
$4$ |
$8$ |
$32$ |
$1$ |
$2$ |
$2$ |
$4$ |
$4$ |
$16$ |
$10$ |
$16$ |
$15$ |
2.2.4.16b2.8 |
$[2, \frac{8}{3}, \frac{8}{3}, 3]$ |
$[\frac{7}{3}, \frac{7}{3}]$ |
$\langle\frac{7}{6}, \frac{7}{4}\rangle$ |
$(\frac{7}{3}, \frac{7}{3})$ |
$x^4 + a_{7} \pi^2 x^3 + b_{6} \pi^2 x^2 + b_{9} \pi^3 x + \pi$ |
$1$ |
$0$ |
$48$ |
$12$ |
$0$ |
$0\%$ |
$1$ |
| 2.2.4.16b2.8-1.4.10b |
$2$ |
$4$ |
$8$ |
$32$ |
$1$ |
$2$ |
$2$ |
$4$ |
$4$ |
$16$ |
$10$ |
$16$ |
$15$ |
2.2.4.16b2.8 |
$[2, 2, 3, 3]$ |
$[1, 3]$ |
$\langle\frac{1}{2}, \frac{7}{4}\rangle$ |
$(1, 5)$ |
$x^4 + (b_{11} \pi^3 + a_{7} \pi^2) x^3 + a_{2} \pi x^2 + b_{9} \pi^3 x + c_{12} \pi^4 + c_{4} \pi^2 + \pi$ |
$4$ |
$0$ |
$144$ |
$36$ |
$0$ |
$0\%$ |
$2$ |
| 2.2.4.16b2.8-1.4.12a |
$2$ |
$4$ |
$8$ |
$32$ |
$1$ |
$2$ |
$2$ |
$4$ |
$4$ |
$16$ |
$12$ |
$16$ |
$17$ |
2.2.4.16b2.8 |
$[2, 3, 3, 3]$ |
$[3, 3]$ |
$\langle\frac{3}{2}, \frac{9}{4}\rangle$ |
$(3, 3)$ |
$x^4 + b_{11} \pi^3 x^3 + (b_{10} \pi^3 + b_{6} \pi^2) x^2 + a_{9} \pi^3 x + c_{12} \pi^4 + \pi$ |
$4$ |
$0$ |
$192$ |
$48$ |
$0$ |
$0\%$ |
$1$ |
| 2.2.4.16b2.8-1.4.12b |
$2$ |
$4$ |
$8$ |
$32$ |
$1$ |
$2$ |
$2$ |
$4$ |
$4$ |
$16$ |
$12$ |
$16$ |
$17$ |
2.2.4.16b2.8 |
$[2, 2, 3, \frac{13}{4}]$ |
$[1, 4]$ |
$\langle\frac{1}{2}, \frac{9}{4}\rangle$ |
$(1, 7)$ |
$x^4 + (b_{15} \pi^4 + b_{11} \pi^3) x^3 + a_{2} \pi x^2 + (b_{13} \pi^4 + a_{9} \pi^3) x + c_{16} \pi^5 + c_{4} \pi^2 + \pi$ |
$4$ |
$0$ |
$576$ |
$144$ |
$0$ |
$0\%$ |
$2$ |
| 2.2.4.16b2.8-1.4.14a |
$2$ |
$4$ |
$8$ |
$32$ |
$1$ |
$2$ |
$2$ |
$4$ |
$4$ |
$16$ |
$14$ |
$16$ |
$19$ |
2.2.4.16b2.8 |
$[2, 3, \frac{19}{6}, \frac{19}{6}]$ |
$[\frac{11}{3}, \frac{11}{3}]$ |
$\langle\frac{11}{6}, \frac{11}{4}\rangle$ |
$(\frac{11}{3}, \frac{11}{3})$ |
$x^4 + a_{11} \pi^3 x^3 + (b_{14} \pi^4 + b_{10} \pi^3) x^2 + b_{13} \pi^4 x + \pi$ |
$1$ |
$0$ |
$192$ |
$48$ |
$0$ |
$0\%$ |
$1$ |
| 2.2.4.16b2.8-1.4.14b |
$2$ |
$4$ |
$8$ |
$32$ |
$1$ |
$2$ |
$2$ |
$4$ |
$4$ |
$16$ |
$14$ |
$16$ |
$19$ |
2.2.4.16b2.8 |
$[2, 2, 3, \frac{7}{2}]$ |
$[1, 5]$ |
$\langle\frac{1}{2}, \frac{11}{4}\rangle$ |
$(1, 9)$ |
$x^4 + (b_{19} \pi^5 + b_{15} \pi^4 + a_{11} \pi^3) x^3 + a_{2} \pi x^2 + (b_{17} \pi^5 + b_{13} \pi^4) x + c_{20} \pi^6 + c_{4} \pi^2 + \pi$ |
$4$ |
$0$ |
$2304$ |
$576$ |
$0$ |
$0\%$ |
$2$ |
| 2.2.4.16b2.8-1.4.14c |
$2$ |
$4$ |
$8$ |
$32$ |
$1$ |
$2$ |
$2$ |
$4$ |
$4$ |
$16$ |
$14$ |
$16$ |
$19$ |
2.2.4.16b2.8 |
$[2, 3, 3, \frac{13}{4}]$ |
$[3, 4]$ |
$\langle\frac{3}{2}, \frac{11}{4}\rangle$ |
$(3, 5)$ |
$x^4 + (b_{15} \pi^4 + a_{11} \pi^3) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + b_{13} \pi^4 x + c_{16} \pi^5 + c_{12} \pi^4 + \pi$ |
$4$ |
$0$ |
$576$ |
$144$ |
$0$ |
$0\%$ |
$2$ |
| 2.2.4.16b2.8-1.4.16a |
$2$ |
$4$ |
$8$ |
$32$ |
$1$ |
$2$ |
$2$ |
$4$ |
$4$ |
$16$ |
$16$ |
$16$ |
$21$ |
2.2.4.16b2.8 |
$[2, 3, \frac{10}{3}, \frac{10}{3}]$ |
$[\frac{13}{3}, \frac{13}{3}]$ |
$\langle\frac{13}{6}, \frac{13}{4}\rangle$ |
$(\frac{13}{3}, \frac{13}{3})$ |
$x^4 + b_{15} \pi^4 x^3 + (b_{14} \pi^4 + b_{10} \pi^3) x^2 + (b_{17} \pi^5 + a_{13} \pi^4) x + \pi$ |
$1$ |
$0$ |
$768$ |
$192$ |
$0$ |
$0\%$ |
$1$ |
| 2.2.4.16b2.8-1.4.16b |
$2$ |
$4$ |
$8$ |
$32$ |
$1$ |
$2$ |
$2$ |
$4$ |
$4$ |
$16$ |
$16$ |
$16$ |
$21$ |
2.2.4.16b2.8 |
$[2, 2, 3, \frac{15}{4}]$ |
$[1, 6]$ |
$\langle\frac{1}{2}, \frac{13}{4}\rangle$ |
$(1, 11)$ |
$x^4 + (b_{23} \pi^6 + b_{19} \pi^5 + b_{15} \pi^4) x^3 + a_{2} \pi x^2 + (b_{21} \pi^6 + b_{17} \pi^5 + a_{13} \pi^4) x + c_{24} \pi^7 + c_{4} \pi^2 + \pi$ |
$4$ |
$0$ |
$9216$ |
$2304$ |
$0$ |
$0\%$ |
$2$ |
| 2.2.4.16b2.8-1.4.16c |
$2$ |
$4$ |
$8$ |
$32$ |
$1$ |
$2$ |
$2$ |
$4$ |
$4$ |
$16$ |
$16$ |
$16$ |
$21$ |
2.2.4.16b2.8 |
$[2, 3, 3, \frac{7}{2}]$ |
$[3, 5]$ |
$\langle\frac{3}{2}, \frac{13}{4}\rangle$ |
$(3, 7)$ |
$x^4 + (b_{19} \pi^5 + b_{15} \pi^4) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + (b_{17} \pi^5 + a_{13} \pi^4) x + c_{20} \pi^6 + c_{12} \pi^4 + \pi$ |
$4$ |
$0$ |
$2304$ |
$576$ |
$0$ |
$0\%$ |
$2$ |
| 2.2.4.16b2.8-1.4.18a |
$2$ |
$4$ |
$8$ |
$32$ |
$1$ |
$2$ |
$2$ |
$4$ |
$4$ |
$16$ |
$18$ |
$16$ |
$23$ |
2.2.4.16b2.8 |
$[2, 3, \frac{7}{2}, \frac{7}{2}]$ |
$[5, 5]$ |
$\langle\frac{5}{2}, \frac{15}{4}\rangle$ |
$(5, 5)$ |
$x^4 + (b_{19} \pi^5 + a_{15} \pi^4) x^3 + (b_{18} \pi^5 + b_{14} \pi^4 + b_{10} \pi^3) x^2 + b_{17} \pi^5 x + c_{20} \pi^6 + \pi$ |
$4$ |
$0$ |
$3072$ |
$768$ |
$0$ |
$0\%$ |
$1$ |
| 2.2.4.16b2.8-1.4.18b |
$2$ |
$4$ |
$8$ |
$32$ |
$1$ |
$2$ |
$2$ |
$4$ |
$4$ |
$16$ |
$18$ |
$16$ |
$23$ |
2.2.4.16b2.8 |
$[2, 2, 3, 4]$ |
$[1, 7]$ |
$\langle\frac{1}{2}, \frac{15}{4}\rangle$ |
$(1, 13)$ |
$x^4 + (b_{27} \pi^7 + b_{23} \pi^6 + b_{19} \pi^5 + a_{15} \pi^4) x^3 + a_{2} \pi x^2 + (b_{25} \pi^7 + b_{21} \pi^6 + b_{17} \pi^5) x + c_{28} \pi^8 + c_{4} \pi^2 + \pi$ |
$4$ |
$0$ |
$36864$ |
$9216$ |
$0$ |
$0\%$ |
$2$ |
| 2.2.4.16b2.8-1.4.18c |
$2$ |
$4$ |
$8$ |
$32$ |
$1$ |
$2$ |
$2$ |
$4$ |
$4$ |
$16$ |
$18$ |
$16$ |
$23$ |
2.2.4.16b2.8 |
$[2, 3, 3, \frac{15}{4}]$ |
$[3, 6]$ |
$\langle\frac{3}{2}, \frac{15}{4}\rangle$ |
$(3, 9)$ |
$x^4 + (b_{23} \pi^6 + b_{19} \pi^5 + a_{15} \pi^4) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + (b_{21} \pi^6 + b_{17} \pi^5) x + c_{24} \pi^7 + c_{12} \pi^4 + \pi$ |
$4$ |
$0$ |
$9216$ |
$2304$ |
$0$ |
$0\%$ |
$2$ |
| 2.2.4.16b2.8-1.4.20a |
$2$ |
$4$ |
$8$ |
$32$ |
$1$ |
$2$ |
$2$ |
$4$ |
$4$ |
$16$ |
$20$ |
$16$ |
$25$ |
2.2.4.16b2.8 |
$[2, 3, \frac{11}{3}, \frac{11}{3}]$ |
$[\frac{17}{3}, \frac{17}{3}]$ |
$\langle\frac{17}{6}, \frac{17}{4}\rangle$ |
$(\frac{17}{3}, \frac{17}{3})$ |
$x^4 + b_{19} \pi^5 x^3 + (b_{22} \pi^6 + b_{18} \pi^5 + b_{14} \pi^4) x^2 + (b_{21} \pi^6 + a_{17} \pi^5) x + \pi$ |
$1$ |
$0$ |
$3072$ |
$768$ |
$0$ |
$0\%$ |
$1$ |
| 2.2.4.16b2.8-1.4.20b |
$2$ |
$4$ |
$8$ |
$32$ |
$1$ |
$2$ |
$2$ |
$4$ |
$4$ |
$16$ |
$20$ |
$16$ |
$25$ |
2.2.4.16b2.8 |
$[2, 2, 3, \frac{17}{4}]$ |
$[1, 8]$ |
$\langle\frac{1}{2}, \frac{17}{4}\rangle$ |
$(1, 15)$ |
$x^4 + (b_{31} \pi^8 + b_{27} \pi^7 + b_{23} \pi^6 + b_{19} \pi^5) x^3 + a_{2} \pi x^2 + (b_{29} \pi^8 + b_{25} \pi^7 + b_{21} \pi^6 + a_{17} \pi^5) x + c_{32} \pi^9 + c_{4} \pi^2 + \pi$ |
$4$ |
$0$ |
$147456$ |
$36864$ |
$0$ |
$0\%$ |
$2$ |
| 2.2.4.16b2.8-1.4.20c |
$2$ |
$4$ |
$8$ |
$32$ |
$1$ |
$2$ |
$2$ |
$4$ |
$4$ |
$16$ |
$20$ |
$16$ |
$25$ |
2.2.4.16b2.8 |
$[2, 3, 3, 4]$ |
$[3, 7]$ |
$\langle\frac{3}{2}, \frac{17}{4}\rangle$ |
$(3, 11)$ |
$x^4 + (b_{27} \pi^7 + b_{23} \pi^6 + b_{19} \pi^5) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + (b_{25} \pi^7 + b_{21} \pi^6 + a_{17} \pi^5) x + c_{28} \pi^8 + c_{12} \pi^4 + \pi$ |
$4$ |
$0$ |
$36864$ |
$9216$ |
$0$ |
$0\%$ |
$2$ |
| 2.2.4.16b2.8-1.4.20d |
$2$ |
$4$ |
$8$ |
$32$ |
$1$ |
$2$ |
$2$ |
$4$ |
$4$ |
$16$ |
$20$ |
$16$ |
$25$ |
2.2.4.16b2.8 |
$[2, 3, \frac{7}{2}, \frac{15}{4}]$ |
$[5, 6]$ |
$\langle\frac{5}{2}, \frac{17}{4}\rangle$ |
$(5, 7)$ |
$x^4 + (b_{23} \pi^6 + b_{19} \pi^5) x^3 + (b_{18} \pi^5 + b_{14} \pi^4 + a_{10} \pi^3) x^2 + (b_{21} \pi^6 + a_{17} \pi^5) x + c_{24} \pi^7 + c_{20} \pi^6 + \pi$ |
$4$ |
$0$ |
$9216$ |
$2304$ |
$0$ |
$0\%$ |
$2$ |
| 2.2.4.16b2.8-1.4.21a |
$2$ |
$4$ |
$8$ |
$32$ |
$1$ |
$2$ |
$2$ |
$4$ |
$4$ |
$16$ |
$21$ |
$16$ |
$26$ |
2.2.4.16b2.8 |
$[2, 2, 3, \frac{35}{8}]$ |
$[1, \frac{17}{2}]$ |
$\langle\frac{1}{2}, \frac{9}{2}\rangle$ |
$(1, 16)$ |
$x^4 + (b_{31} \pi^8 + b_{27} \pi^7 + b_{23} \pi^6 + b_{19} \pi^5) x^3 + (c_{34} \pi^9 + a_{2} \pi) x^2 + (b_{33} \pi^9 + b_{29} \pi^8 + b_{25} \pi^7 + b_{21} \pi^6) x + c_{4} \pi^2 + \pi$ |
$4$ |
$0$ |
$196608$ |
$49152$ |
$0$ |
$0\%$ |
$2$ |
| 2.2.4.16b2.8-1.4.22a |
$2$ |
$4$ |
$8$ |
$32$ |
$1$ |
$2$ |
$2$ |
$4$ |
$4$ |
$16$ |
$22$ |
$16$ |
$27$ |
2.2.4.16b2.8 |
$[2, 3, \frac{23}{6}, \frac{23}{6}]$ |
$[\frac{19}{3}, \frac{19}{3}]$ |
$\langle\frac{19}{6}, \frac{19}{4}\rangle$ |
$(\frac{19}{3}, \frac{19}{3})$ |
$x^4 + (b_{23} \pi^6 + a_{19} \pi^5) x^3 + (b_{22} \pi^6 + b_{18} \pi^5 + b_{14} \pi^4) x^2 + (b_{25} \pi^7 + b_{21} \pi^6) x + \pi$ |
$1$ |
$0$ |
$12288$ |
$3072$ |
$0$ |
$0\%$ |
$1$ |
| 2.2.4.16b2.8-1.4.22b |
$2$ |
$4$ |
$8$ |
$32$ |
$1$ |
$2$ |
$2$ |
$4$ |
$4$ |
$16$ |
$22$ |
$16$ |
$27$ |
2.2.4.16b2.8 |
$[2, 3, 3, \frac{17}{4}]$ |
$[3, 8]$ |
$\langle\frac{3}{2}, \frac{19}{4}\rangle$ |
$(3, 13)$ |
$x^4 + (b_{31} \pi^8 + b_{27} \pi^7 + b_{23} \pi^6 + a_{19} \pi^5) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + (b_{29} \pi^8 + b_{25} \pi^7 + b_{21} \pi^6) x + c_{32} \pi^9 + c_{12} \pi^4 + \pi$ |
$4$ |
$0$ |
$147456$ |
$36864$ |
$0$ |
$0\%$ |
$2$ |
| 2.2.4.16b2.8-1.4.22c |
$2$ |
$4$ |
$8$ |
$32$ |
$1$ |
$2$ |
$2$ |
$4$ |
$4$ |
$16$ |
$22$ |
$16$ |
$27$ |
2.2.4.16b2.8 |
$[2, 3, \frac{7}{2}, 4]$ |
$[5, 7]$ |
$\langle\frac{5}{2}, \frac{19}{4}\rangle$ |
$(5, 9)$ |
$x^4 + (b_{27} \pi^7 + b_{23} \pi^6 + a_{19} \pi^5) x^3 + (b_{18} \pi^5 + b_{14} \pi^4 + a_{10} \pi^3) x^2 + (b_{25} \pi^7 + b_{21} \pi^6) x + c_{28} \pi^8 + c_{20} \pi^6 + \pi$ |
$4$ |
$0$ |
$36864$ |
$9216$ |
$0$ |
$0\%$ |
$2$ |
| 2.2.4.16b2.8-1.4.24a |
$2$ |
$4$ |
$8$ |
$32$ |
$1$ |
$2$ |
$2$ |
$4$ |
$4$ |
$16$ |
$24$ |
$16$ |
$29$ |
2.2.4.16b2.8 |
$[2, 3, 4, 4]$ |
$[7, 7]$ |
$\langle\frac{7}{2}, \frac{21}{4}\rangle$ |
$(7, 7)$ |
$x^4 + (b_{27} \pi^7 + b_{23} \pi^6) x^3 + (b_{26} \pi^7 + b_{22} \pi^6 + b_{18} \pi^5 + b_{14} \pi^4) x^2 + (b_{25} \pi^7 + a_{21} \pi^6) x + c_{28} \pi^8 + \pi$ |
$4$ |
$0$ |
$49152$ |
$12288$ |
$0$ |
$0\%$ |
$1$ |
| 2.2.4.16b2.8-1.4.24b |
$2$ |
$4$ |
$8$ |
$32$ |
$1$ |
$2$ |
$2$ |
$4$ |
$4$ |
$16$ |
$24$ |
$16$ |
$29$ |
2.2.4.16b2.8 |
$[2, 3, 3, \frac{9}{2}]$ |
$[3, 9]$ |
$\langle\frac{3}{2}, \frac{21}{4}\rangle$ |
$(3, 15)$ |
$x^4 + (b_{35} \pi^9 + b_{31} \pi^8 + b_{27} \pi^7 + b_{23} \pi^6) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + (b_{33} \pi^9 + b_{29} \pi^8 + b_{25} \pi^7 + a_{21} \pi^6) x + c_{36} \pi^{10} + c_{12} \pi^4 + \pi$ |
$4$ |
$0$ |
$589824$ |
$147456$ |
$0$ |
$0\%$ |
$2$ |
| 2.2.4.16b2.8-1.4.24c |
$2$ |
$4$ |
$8$ |
$32$ |
$1$ |
$2$ |
$2$ |
$4$ |
$4$ |
$16$ |
$24$ |
$16$ |
$29$ |
2.2.4.16b2.8 |
$[2, 3, \frac{7}{2}, \frac{17}{4}]$ |
$[5, 8]$ |
$\langle\frac{5}{2}, \frac{21}{4}\rangle$ |
$(5, 11)$ |
$x^4 + (b_{31} \pi^8 + b_{27} \pi^7 + b_{23} \pi^6) x^3 + (b_{18} \pi^5 + b_{14} \pi^4 + a_{10} \pi^3) x^2 + (b_{29} \pi^8 + b_{25} \pi^7 + a_{21} \pi^6) x + c_{32} \pi^9 + c_{20} \pi^6 + \pi$ |
$4$ |
$0$ |
$147456$ |
$36864$ |
$0$ |
$0\%$ |
$2$ |
| 2.2.4.16b2.8-1.4.25a |
$2$ |
$4$ |
$8$ |
$32$ |
$1$ |
$2$ |
$2$ |
$4$ |
$4$ |
$16$ |
$25$ |
$16$ |
$30$ |
2.2.4.16b2.8 |
$[2, 3, 3, \frac{37}{8}]$ |
$[3, \frac{19}{2}]$ |
$\langle\frac{3}{2}, \frac{11}{2}\rangle$ |
$(3, 16)$ |
$x^4 + (b_{35} \pi^9 + b_{31} \pi^8 + b_{27} \pi^7 + b_{23} \pi^6) x^3 + (c_{38} \pi^{10} + b_{10} \pi^3 + a_{6} \pi^2) x^2 + (b_{37} \pi^{10} + b_{33} \pi^9 + b_{29} \pi^8 + b_{25} \pi^7) x + c_{12} \pi^4 + \pi$ |
$4$ |
$0$ |
$786432$ |
$196608$ |
$0$ |
$0\%$ |
$2$ |
| 2.2.4.16b2.8-1.4.26a |
$2$ |
$4$ |
$8$ |
$32$ |
$1$ |
$2$ |
$2$ |
$4$ |
$4$ |
$16$ |
$26$ |
$16$ |
$31$ |
2.2.4.16b2.8 |
$[2, 3, \frac{25}{6}, \frac{25}{6}]$ |
$[\frac{23}{3}, \frac{23}{3}]$ |
$\langle\frac{23}{6}, \frac{23}{4}\rangle$ |
$(\frac{23}{3}, \frac{23}{3})$ |
$x^4 + (b_{27} \pi^7 + a_{23} \pi^6) x^3 + (b_{30} \pi^8 + b_{26} \pi^7 + b_{22} \pi^6 + b_{18} \pi^5) x^2 + (b_{29} \pi^8 + b_{25} \pi^7) x + \pi$ |
$1$ |
$0$ |
$49152$ |
$12288$ |
$0$ |
$0\%$ |
$1$ |
| 2.2.4.16b2.8-1.4.26b |
$2$ |
$4$ |
$8$ |
$32$ |
$1$ |
$2$ |
$2$ |
$4$ |
$4$ |
$16$ |
$26$ |
$16$ |
$31$ |
2.2.4.16b2.8 |
$[2, 3, \frac{7}{2}, \frac{9}{2}]$ |
$[5, 9]$ |
$\langle\frac{5}{2}, \frac{23}{4}\rangle$ |
$(5, 13)$ |
$x^4 + (b_{35} \pi^9 + b_{31} \pi^8 + b_{27} \pi^7 + a_{23} \pi^6) x^3 + (b_{18} \pi^5 + b_{14} \pi^4 + a_{10} \pi^3) x^2 + (b_{33} \pi^9 + b_{29} \pi^8 + b_{25} \pi^7) x + c_{36} \pi^{10} + c_{20} \pi^6 + \pi$ |
$4$ |
$0$ |
$589824$ |
$147456$ |
$0$ |
$0\%$ |
$2$ |
| 2.2.4.16b2.8-1.4.26c |
$2$ |
$4$ |
$8$ |
$32$ |
$1$ |
$2$ |
$2$ |
$4$ |
$4$ |
$16$ |
$26$ |
$16$ |
$31$ |
2.2.4.16b2.8 |
$[2, 3, 4, \frac{17}{4}]$ |
$[7, 8]$ |
$\langle\frac{7}{2}, \frac{23}{4}\rangle$ |
$(7, 9)$ |
$x^4 + (b_{31} \pi^8 + b_{27} \pi^7 + a_{23} \pi^6) x^3 + (b_{26} \pi^7 + b_{22} \pi^6 + b_{18} \pi^5 + a_{14} \pi^4) x^2 + (b_{29} \pi^8 + b_{25} \pi^7) x + c_{32} \pi^9 + c_{28} \pi^8 + \pi$ |
$4$ |
$0$ |
$147456$ |
$36864$ |
$0$ |
$0\%$ |
$2$ |
| 2.2.4.16b2.8-1.4.28a |
$2$ |
$4$ |
$8$ |
$32$ |
$1$ |
$2$ |
$2$ |
$4$ |
$4$ |
$16$ |
$28$ |
$16$ |
$33$ |
2.2.4.16b2.8 |
$[2, 3, \frac{7}{2}, \frac{19}{4}]$ |
$[5, 10]$ |
$\langle\frac{5}{2}, \frac{25}{4}\rangle$ |
$(5, 15)$ |
$x^4 + (b_{39} \pi^{10} + b_{35} \pi^9 + b_{31} \pi^8 + b_{27} \pi^7) x^3 + (b_{18} \pi^5 + b_{14} \pi^4 + a_{10} \pi^3) x^2 + (b_{37} \pi^{10} + b_{33} \pi^9 + b_{29} \pi^8 + a_{25} \pi^7) x + c_{40} \pi^{11} + c_{20} \pi^6 + \pi$ |
$4$ |
$0$ |
$2359296$ |
$589824$ |
$0$ |
$0\%$ |
$2$ |
| 2.2.4.16b2.8-1.4.28b |
$2$ |
$4$ |
$8$ |
$32$ |
$1$ |
$2$ |
$2$ |
$4$ |
$4$ |
$16$ |
$28$ |
$16$ |
$33$ |
2.2.4.16b2.8 |
$[2, 3, 4, \frac{9}{2}]$ |
$[7, 9]$ |
$\langle\frac{7}{2}, \frac{25}{4}\rangle$ |
$(7, 11)$ |
$x^4 + (b_{35} \pi^9 + b_{31} \pi^8 + b_{27} \pi^7) x^3 + (b_{26} \pi^7 + b_{22} \pi^6 + b_{18} \pi^5 + a_{14} \pi^4) x^2 + (b_{33} \pi^9 + b_{29} \pi^8 + a_{25} \pi^7) x + c_{36} \pi^{10} + c_{28} \pi^8 + \pi$ |
$4$ |
$0$ |
$589824$ |
$147456$ |
$0$ |
$0\%$ |
$2$ |
| 2.2.4.16b2.8-1.4.28c |
$2$ |
$4$ |
$8$ |
$32$ |
$1$ |
$2$ |
$2$ |
$4$ |
$4$ |
$16$ |
$28$ |
$16$ |
$33$ |
2.2.4.16b2.8 |
$[2, 3, \frac{17}{4}, \frac{35}{8}]$ |
$[8, \frac{17}{2}]$ |
$\langle4, \frac{25}{4}\rangle$ |
$(8, 9)$ |
$x^4 + (b_{31} \pi^8 + b_{27} \pi^7) x^3 + (c_{34} \pi^9 + b_{30} \pi^8 + b_{26} \pi^7 + b_{22} \pi^6 + b_{18} \pi^5) x^2 + (b_{33} \pi^9 + b_{29} \pi^8 + a_{25} \pi^7) x + c_{32} \pi^9 + \pi$ |
$4$ |
$0$ |
$196608$ |
$49152$ |
$0$ |
$0\%$ |
$2$ |
| 2.2.4.16b2.8-1.4.29a |
$2$ |
$4$ |
$8$ |
$32$ |
$1$ |
$2$ |
$2$ |
$4$ |
$4$ |
$16$ |
$29$ |
$16$ |
$34$ |
2.2.4.16b2.8 |
$[2, 3, \frac{7}{2}, \frac{39}{8}]$ |
$[5, \frac{21}{2}]$ |
$\langle\frac{5}{2}, \frac{13}{2}\rangle$ |
$(5, 16)$ |
$x^4 + (b_{39} \pi^{10} + b_{35} \pi^9 + b_{31} \pi^8 + b_{27} \pi^7) x^3 + (c_{42} \pi^{11} + b_{18} \pi^5 + b_{14} \pi^4 + a_{10} \pi^3) x^2 + (b_{41} \pi^{11} + b_{37} \pi^{10} + b_{33} \pi^9 + b_{29} \pi^8) x + c_{20} \pi^6 + \pi$ |
$4$ |
$0$ |
$3145728$ |
$786432$ |
$0$ |
$0\%$ |
$2$ |
