| 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 |
| 2.1.16.54o |
$2$ |
$16$ |
$1$ |
$16$ |
$1$ |
$1$ |
$1$ |
$16$ |
$1$ |
$16$ |
$54$ |
$0$ |
$54$ |
$\Q_{2}$ |
$[2, 3, \frac{7}{2}, 4]$ |
$[1, 2, \frac{5}{2}, 3]$ |
$\langle\frac{1}{2}, \frac{5}{4}, \frac{15}{8}, \frac{39}{16}\rangle$ |
$(1, 3, 5, 9)$ |
$x^{16} + 8 b_{47} x^{15} + 4 a_{30} x^{14} + 8 b_{45} x^{13} + 4 b_{28} x^{12} + 8 b_{43} x^{11} + 8 b_{41} x^9 + (2 a_{8} + 8 c_{40}) x^8 + 8 a_{39} x^7 + 8 b_{38} x^6 + 4 a_{20} x^4 + 8 b_{34} x^2 + 4 c_{16} + 8 c_{32} + 16 c_{48} + 2$ |
$16$ |
$432$ |
$128$ |
$128$ |
$128$ |
$100\%$ |
$4$ |
| 2.1.2.2a1.2-1.8.38g |
$2$ |
$8$ |
$2$ |
$16$ |
$1$ |
$1$ |
$1$ |
$8$ |
$2$ |
$16$ |
$38$ |
$2$ |
$39$ |
$\Q_{2}(\sqrt{-5})$ |
$[2, 3, \frac{7}{2}, 4]$ |
$[3, 4, 5]$ |
$\langle\frac{3}{2}, \frac{11}{4}, \frac{31}{8}\rangle$ |
$(3, 5, 9)$ |
$x^8 + (b_{39} \pi^5 + a_{31} \pi^4) x^7 + (b_{30} \pi^4 + a_{22} \pi^3) x^6 + b_{37} \pi^5 x^5 + (b_{20} \pi^3 + a_{12} \pi^2) x^4 + b_{35} \pi^5 x^3 + b_{26} \pi^4 x^2 + b_{33} \pi^5 x + c_{40} \pi^6 + c_{32} \pi^5 + c_{24} \pi^4 + \pi$ |
$8$ |
$216$ |
$128$ |
$64$ |
$64$ |
$100\%$ |
$3$ |
| 2.1.2.3a1.2-1.8.30h |
$2$ |
$8$ |
$2$ |
$16$ |
$1$ |
$1$ |
$1$ |
$8$ |
$2$ |
$16$ |
$30$ |
$3$ |
$32$ |
$\Q_{2}(\sqrt{-2\cdot 5})$ |
$[2, 3, \frac{7}{2}, 4]$ |
$[1, 3, 4]$ |
$\langle\frac{1}{2}, \frac{7}{4}, \frac{23}{8}\rangle$ |
$(1, 5, 9)$ |
$x^8 + (b_{31} \pi^4 + a_{23} \pi^3) x^7 + (b_{22} \pi^3 + a_{14} \pi^2) x^6 + b_{29} \pi^4 x^5 + a_{4} \pi x^4 + b_{27} \pi^4 x^3 + b_{18} \pi^3 x^2 + b_{25} \pi^4 x + c_{32} \pi^5 + c_{24} \pi^4 + c_{8} \pi^2 + \pi$ |
$8$ |
$120$ |
$64$ |
$32$ |
$32$ |
$100\%$ |
$3$ |
| 2.1.2.3a1.3-1.8.30h |
$2$ |
$8$ |
$2$ |
$16$ |
$1$ |
$1$ |
$1$ |
$8$ |
$2$ |
$16$ |
$30$ |
$3$ |
$32$ |
$\Q_{2}(\sqrt{2})$ |
$[2, 3, \frac{7}{2}, 4]$ |
$[1, 3, 4]$ |
$\langle\frac{1}{2}, \frac{7}{4}, \frac{23}{8}\rangle$ |
$(1, 5, 9)$ |
$x^8 + (b_{31} \pi^4 + a_{23} \pi^3) x^7 + (b_{22} \pi^3 + a_{14} \pi^2) x^6 + b_{29} \pi^4 x^5 + a_{4} \pi x^4 + b_{27} \pi^4 x^3 + b_{18} \pi^3 x^2 + b_{25} \pi^4 x + c_{32} \pi^5 + c_{24} \pi^4 + c_{8} \pi^2 + \pi$ |
$8$ |
$120$ |
$64$ |
$32$ |
$32$ |
$100\%$ |
$3$ |
| 2.1.4.8b1.6-1.4.22c |
$2$ |
$4$ |
$4$ |
$16$ |
$1$ |
$1$ |
$1$ |
$4$ |
$4$ |
$16$ |
$22$ |
$8$ |
$27$ |
2.1.4.8b1.6 |
$[2, 3, \frac{7}{2}, 4]$ |
$[5, 7]$ |
$\langle\frac{5}{2}, \frac{19}{4}\rangle$ |
$(5, 9)$ |
$x^4 + (b_{27} \pi^7 + b_{23} \pi^6 + a_{19} \pi^5) x^3 + (b_{18} \pi^5 + b_{14} \pi^4 + a_{10} \pi^3) x^2 + (b_{25} \pi^7 + b_{21} \pi^6) x + c_{28} \pi^8 + c_{20} \pi^6 + \pi$ |
$4$ |
$60$ |
$64$ |
$16$ |
$16$ |
$100\%$ |
$2$ |
| 2.1.4.9a1.5-1.4.18c |
$2$ |
$4$ |
$4$ |
$16$ |
$1$ |
$1$ |
$1$ |
$4$ |
$4$ |
$16$ |
$18$ |
$9$ |
$24$ |
2.1.4.9a1.5 |
$[2, 3, \frac{7}{2}, 4]$ |
$[3, 6]$ |
$\langle\frac{3}{2}, \frac{15}{4}\rangle$ |
$(3, 9)$ |
$x^4 + (b_{23} \pi^6 + b_{19} \pi^5 + a_{15} \pi^4) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + (b_{21} \pi^6 + b_{17} \pi^5) x + c_{24} \pi^7 + c_{12} \pi^4 + \pi$ |
$4$ |
$52$ |
$32$ |
$16$ |
$14$ |
$87.50\%$ |
$2$ |
| 2.1.4.10a1.8-1.4.14b |
$2$ |
$4$ |
$4$ |
$16$ |
$1$ |
$1$ |
$1$ |
$4$ |
$4$ |
$16$ |
$14$ |
$10$ |
$21$ |
2.1.4.10a1.8 |
$[2, 3, \frac{7}{2}, 4]$ |
$[1, 5]$ |
$\langle\frac{1}{2}, \frac{11}{4}\rangle$ |
$(1, 9)$ |
$x^4 + (b_{19} \pi^5 + b_{15} \pi^4 + a_{11} \pi^3) x^3 + a_{2} \pi x^2 + (b_{17} \pi^5 + b_{13} \pi^4) x + c_{20} \pi^6 + c_{4} \pi^2 + \pi$ |
$4$ |
$24$ |
$16$ |
$8$ |
$6$ |
$75.00\%$ |
$2$ |
| 2.1.4.11a1.9-1.4.10b |
$2$ |
$4$ |
$4$ |
$16$ |
$1$ |
$1$ |
$1$ |
$4$ |
$4$ |
$16$ |
$10$ |
$11$ |
$18$ |
2.1.4.11a1.9 |
$[2, 3, \frac{7}{2}, 4]$ |
$[1, 3]$ |
$\langle\frac{1}{2}, \frac{7}{4}\rangle$ |
$(1, 5)$ |
$x^4 + (b_{11} \pi^3 + a_{7} \pi^2) x^3 + a_{2} \pi x^2 + b_{9} \pi^3 x + c_{12} \pi^4 + c_{4} \pi^2 + \pi$ |
$4$ |
$10$ |
$4$ |
$1$ |
$1$ |
$100\%$ |
$2$ |
| 2.1.4.11a1.12-1.4.10b |
$2$ |
$4$ |
$4$ |
$16$ |
$1$ |
$1$ |
$1$ |
$4$ |
$4$ |
$16$ |
$10$ |
$11$ |
$18$ |
2.1.4.11a1.12 |
$[2, 3, \frac{7}{2}, 4]$ |
$[1, 3]$ |
$\langle\frac{1}{2}, \frac{7}{4}\rangle$ |
$(1, 5)$ |
$x^4 + (b_{11} \pi^3 + a_{7} \pi^2) x^3 + a_{2} \pi x^2 + b_{9} \pi^3 x + c_{12} \pi^4 + c_{4} \pi^2 + \pi$ |
$4$ |
$10$ |
$4$ |
$1$ |
$1$ |
$100\%$ |
$2$ |
| 2.1.8.22d1.22-1.2.10a |
$2$ |
$2$ |
$8$ |
$16$ |
$1$ |
$1$ |
$1$ |
$2$ |
$8$ |
$16$ |
$10$ |
$22$ |
$25$ |
2.1.8.22d1.22 |
$[2, 3, \frac{7}{2}, 4]$ |
$[9]$ |
$\langle\frac{9}{2}\rangle$ |
$(9)$ |
$x^2 + (b_{17} \pi^9 + b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + a_{9} \pi^5) x + c_{18} \pi^{10} + \pi$ |
$2$ |
$10$ |
$16$ |
$2$ |
$2$ |
$100\%$ |
$1$ |
| 2.1.8.24c1.56-1.2.6a |
$2$ |
$2$ |
$8$ |
$16$ |
$1$ |
$1$ |
$1$ |
$2$ |
$8$ |
$16$ |
$6$ |
$24$ |
$23$ |
2.1.8.24c1.56 |
$[2, 3, \frac{7}{2}, 4]$ |
$[5]$ |
$\langle\frac{5}{2}\rangle$ |
$(5)$ |
$x^2 + (b_{9} \pi^5 + b_{7} \pi^4 + a_{5} \pi^3) x + c_{10} \pi^6 + \pi$ |
$2$ |
$5$ |
$4$ |
$1/2$ |
$1/2$ |
$100\%$ |
$1$ |
| 2.1.8.24c1.61-1.2.6a |
$2$ |
$2$ |
$8$ |
$16$ |
$1$ |
$1$ |
$1$ |
$2$ |
$8$ |
$16$ |
$6$ |
$24$ |
$23$ |
2.1.8.24c1.61 |
$[2, 3, \frac{7}{2}, 4]$ |
$[5]$ |
$\langle\frac{5}{2}\rangle$ |
$(5)$ |
$x^2 + (b_{9} \pi^5 + b_{7} \pi^4 + a_{5} \pi^3) x + c_{10} \pi^6 + \pi$ |
$2$ |
$5$ |
$4$ |
$1/2$ |
$1/2$ |
$100\%$ |
$1$ |
