| 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 |
| 2.1.16.58n |
$2$ |
$16$ |
$1$ |
$16$ |
$1$ |
$1$ |
$1$ |
$16$ |
$1$ |
$16$ |
$58$ |
$0$ |
$58$ |
$\Q_{2}$ |
$[2, 3, 4, \frac{17}{4}]$ |
$[1, 2, 3, \frac{13}{4}]$ |
$\langle\frac{1}{2}, \frac{5}{4}, \frac{17}{8}, \frac{43}{16}\rangle$ |
$(1, 3, 7, 9)$ |
$x^{16} + 8 b_{47} x^{15} + 8 b_{46} x^{14} + 8 b_{45} x^{13} + 4 b_{28} x^{12} + 8 a_{43} x^{11} + 8 b_{42} x^{10} + 2 a_{8} x^8 + 8 b_{38} x^6 + (4 a_{20} + 16 c_{52}) x^4 + 16 b_{51} x^3 + 8 a_{34} x^2 + 16 b_{49} x + 4 c_{16} + 8 c_{32} + 16 c_{48} + 2$ |
$16$ |
$832$ |
$256$ |
$256$ |
$256$ |
$100\%$ |
$4$ |
| 2.1.2.2a1.2-1.8.42f |
$2$ |
$8$ |
$2$ |
$16$ |
$1$ |
$1$ |
$1$ |
$8$ |
$2$ |
$16$ |
$42$ |
$2$ |
$43$ |
$\Q_{2}(\sqrt{-5})$ |
$[2, 3, 4, \frac{17}{4}]$ |
$[3, 5, \frac{11}{2}]$ |
$\langle\frac{3}{2}, \frac{13}{4}, \frac{35}{8}\rangle$ |
$(3, 7, 9)$ |
$x^8 + b_{39} \pi^5 x^7 + (b_{38} \pi^5 + b_{30} \pi^4) x^6 + b_{37} \pi^5 x^5 + (c_{44} \pi^6 + b_{20} \pi^3 + a_{12} \pi^2) x^4 + (b_{43} \pi^6 + a_{35} \pi^5) x^3 + (b_{34} \pi^5 + a_{26} \pi^4) x^2 + b_{41} \pi^6 x + c_{40} \pi^6 + c_{24} \pi^4 + \pi$ |
$8$ |
$416$ |
$256$ |
$128$ |
$128$ |
$100\%$ |
$3$ |
| 2.1.2.3a1.2-1.8.34h |
$2$ |
$8$ |
$2$ |
$16$ |
$1$ |
$1$ |
$1$ |
$8$ |
$2$ |
$16$ |
$34$ |
$3$ |
$36$ |
$\Q_{2}(\sqrt{-2\cdot 5})$ |
$[2, 3, 4, \frac{17}{4}]$ |
$[1, 4, \frac{9}{2}]$ |
$\langle\frac{1}{2}, \frac{9}{4}, \frac{27}{8}\rangle$ |
$(1, 7, 9)$ |
$x^8 + b_{31} \pi^4 x^7 + (b_{30} \pi^4 + b_{22} \pi^3) x^6 + b_{29} \pi^4 x^5 + (c_{36} \pi^5 + a_{4} \pi) x^4 + (b_{35} \pi^5 + a_{27} \pi^4) x^3 + (b_{26} \pi^4 + a_{18} \pi^3) x^2 + b_{33} \pi^5 x + c_{32} \pi^5 + c_{8} \pi^2 + \pi$ |
$8$ |
$224$ |
$128$ |
$64$ |
$64$ |
$100\%$ |
$3$ |
| 2.1.2.3a1.3-1.8.34h |
$2$ |
$8$ |
$2$ |
$16$ |
$1$ |
$1$ |
$1$ |
$8$ |
$2$ |
$16$ |
$34$ |
$3$ |
$36$ |
$\Q_{2}(\sqrt{2})$ |
$[2, 3, 4, \frac{17}{4}]$ |
$[1, 4, \frac{9}{2}]$ |
$\langle\frac{1}{2}, \frac{9}{4}, \frac{27}{8}\rangle$ |
$(1, 7, 9)$ |
$x^8 + b_{31} \pi^4 x^7 + (b_{30} \pi^4 + b_{22} \pi^3) x^6 + b_{29} \pi^4 x^5 + (c_{36} \pi^5 + a_{4} \pi) x^4 + (b_{35} \pi^5 + a_{27} \pi^4) x^3 + (b_{26} \pi^4 + a_{18} \pi^3) x^2 + b_{33} \pi^5 x + c_{32} \pi^5 + c_{8} \pi^2 + \pi$ |
$8$ |
$224$ |
$128$ |
$64$ |
$64$ |
$100\%$ |
$3$ |
| 2.1.4.8b1.6-1.4.26c |
$2$ |
$4$ |
$4$ |
$16$ |
$1$ |
$1$ |
$1$ |
$4$ |
$4$ |
$16$ |
$26$ |
$8$ |
$31$ |
2.1.4.8b1.6 |
$[2, 3, 4, \frac{17}{4}]$ |
$[7, 8]$ |
$\langle\frac{7}{2}, \frac{23}{4}\rangle$ |
$(7, 9)$ |
$x^4 + (b_{31} \pi^8 + b_{27} \pi^7 + a_{23} \pi^6) x^3 + (b_{26} \pi^7 + b_{22} \pi^6 + b_{18} \pi^5 + a_{14} \pi^4) x^2 + (b_{29} \pi^8 + b_{25} \pi^7) x + c_{32} \pi^9 + c_{28} \pi^8 + \pi$ |
$4$ |
$112$ |
$128$ |
$32$ |
$32$ |
$100\%$ |
$2$ |
| 2.1.8.24c1.56-1.2.10a |
$2$ |
$2$ |
$8$ |
$16$ |
$1$ |
$1$ |
$1$ |
$2$ |
$8$ |
$16$ |
$10$ |
$24$ |
$27$ |
2.1.8.24c1.56 |
$[2, 3, 4, \frac{17}{4}]$ |
$[9]$ |
$\langle\frac{9}{2}\rangle$ |
$(9)$ |
$x^2 + (b_{17} \pi^9 + b_{15} \pi^8 + b_{13} \pi^7 + b_{11} \pi^6 + a_{9} \pi^5) x + c_{18} \pi^{10} + \pi$ |
$2$ |
$6$ |
$16$ |
$2$ |
$2$ |
$100\%$ |
$1$ |
| 2.1.8.25b1.58-1.2.8a |
$2$ |
$2$ |
$8$ |
$16$ |
$1$ |
$1$ |
$1$ |
$2$ |
$8$ |
$16$ |
$8$ |
$25$ |
$26$ |
2.1.8.25b1.58 |
$[2, 3, 4, \frac{17}{4}]$ |
$[7]$ |
$\langle\frac{7}{2}\rangle$ |
$(7)$ |
$x^2 + (b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5 + a_{7} \pi^4) x + c_{14} \pi^8 + \pi$ |
$2$ |
$16$ |
$8$ |
$4$ |
$15/4$ |
$93.75\%$ |
$1$ |
| 2.1.8.25b1.61-1.2.8a |
$2$ |
$2$ |
$8$ |
$16$ |
$1$ |
$1$ |
$1$ |
$2$ |
$8$ |
$16$ |
$8$ |
$25$ |
$26$ |
2.1.8.25b1.61 |
$[2, 3, 4, \frac{17}{4}]$ |
$[7]$ |
$\langle\frac{7}{2}\rangle$ |
$(7)$ |
$x^2 + (b_{13} \pi^7 + b_{11} \pi^6 + b_{9} \pi^5 + a_{7} \pi^4) x + c_{14} \pi^8 + \pi$ |
$2$ |
$16$ |
$8$ |
$4$ |
$15/4$ |
$93.75\%$ |
$1$ |