| 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 |
| 5.2.12.22a |
$5$ |
$24$ |
$1$ |
$24$ |
$2$ |
$1$ |
$2$ |
$12$ |
$1$ |
$12$ |
$22$ |
$0$ |
$22$ |
$\Q_{5}$ |
$[\ ]$ |
$[ ]$ |
$\langle \rangle$ |
$( )$ |
$x^{12} + 5 d_{0}$ |
$24$ |
$0$ |
$1$ |
$1/2$ |
$0$ |
$0\%$ |
$0$ |
| 5.2.1.0a1.1-1.12.11a |
$5$ |
$12$ |
$2$ |
$24$ |
$1$ |
$2$ |
$2$ |
$12$ |
$1$ |
$12$ |
$11$ |
$0$ |
$11$ |
$\Q_{5}(\sqrt{2})$ |
$[\ ]$ |
$[ ]$ |
$\langle \rangle$ |
$( )$ |
$x^{12} + 5 d_{0}$ |
$12$ |
$0$ |
$1$ |
$1/2$ |
$0$ |
$0\%$ |
$0$ |
| 5.1.2.1a1.1-2.6.10a |
$5$ |
$12$ |
$2$ |
$24$ |
$2$ |
$1$ |
$2$ |
$6$ |
$2$ |
$12$ |
$10$ |
$1$ |
$10$ |
$\Q_{5}(\sqrt{5})$ |
$[\ ]$ |
$[ ]$ |
$\langle \rangle$ |
$( )$ |
$x^6 + d_{0} \pi$ |
$12$ |
$0$ |
$1$ |
$1/4$ |
$0$ |
$0\%$ |
$0$ |
| 5.1.2.1a1.2-2.6.10a |
$5$ |
$12$ |
$2$ |
$24$ |
$2$ |
$1$ |
$2$ |
$6$ |
$2$ |
$12$ |
$10$ |
$1$ |
$10$ |
$\Q_{5}(\sqrt{5\cdot 2})$ |
$[\ ]$ |
$[ ]$ |
$\langle \rangle$ |
$( )$ |
$x^6 + d_{0} \pi$ |
$12$ |
$0$ |
$1$ |
$1/4$ |
$0$ |
$0\%$ |
$0$ |
| 5.1.3.2a1.1-2.4.6a |
$5$ |
$8$ |
$3$ |
$24$ |
$2$ |
$1$ |
$2$ |
$4$ |
$3$ |
$12$ |
$6$ |
$2$ |
$6$ |
$\Q_{5}(\sqrt[3]{5})$ |
$[\ ]$ |
$[ ]$ |
$\langle \rangle$ |
$( )$ |
$x^4 + d_{0} \pi$ |
$8$ |
$0$ |
$1$ |
$1/2$ |
$0$ |
$0\%$ |
$0$ |
| 5.2.2.2a1.1-1.6.5a |
$5$ |
$6$ |
$4$ |
$24$ |
$1$ |
$2$ |
$2$ |
$6$ |
$2$ |
$12$ |
$5$ |
$2$ |
$5$ |
$\Q_{5}(\zeta_{24}, \sqrt{\zeta_{24} \cdot 5})$ |
$[\ ]$ |
$[ ]$ |
$\langle \rangle$ |
$( )$ |
$x^6 + d_{0} \pi$ |
$6$ |
$0$ |
$1$ |
$1/4$ |
$0$ |
$0\%$ |
$0$ |
| 5.2.2.2a1.2-1.6.5a |
$5$ |
$6$ |
$4$ |
$24$ |
$1$ |
$2$ |
$2$ |
$6$ |
$2$ |
$12$ |
$5$ |
$2$ |
$5$ |
$\Q_{5}(\zeta_{24}, \sqrt{5})$ |
$[\ ]$ |
$[ ]$ |
$\langle \rangle$ |
$( )$ |
$x^6 + d_{0} \pi$ |
$6$ |
$0$ |
$1$ |
$1/4$ |
$0$ |
$0\%$ |
$0$ |
| 5.1.4.3a1.1-2.3.4a |
$5$ |
$6$ |
$4$ |
$24$ |
$2$ |
$1$ |
$2$ |
$3$ |
$4$ |
$12$ |
$4$ |
$3$ |
$4$ |
$\Q_{5}(\sqrt[4]{-5})$ |
$[\ ]$ |
$[ ]$ |
$\langle \rangle$ |
$( )$ |
$x^3 + d_{0} \pi$ |
$6$ |
$0$ |
$1$ |
$1/8$ |
$0$ |
$0\%$ |
$0$ |
| 5.1.4.3a1.2-2.3.4a |
$5$ |
$6$ |
$4$ |
$24$ |
$2$ |
$1$ |
$2$ |
$3$ |
$4$ |
$12$ |
$4$ |
$3$ |
$4$ |
$\Q_{5}(\sqrt[4]{5 \cdot 3})$ |
$[\ ]$ |
$[ ]$ |
$\langle \rangle$ |
$( )$ |
$x^3 + d_{0} \pi$ |
$6$ |
$0$ |
$1$ |
$1/8$ |
$0$ |
$0\%$ |
$0$ |
| 5.1.4.3a1.3-2.3.4a |
$5$ |
$6$ |
$4$ |
$24$ |
$2$ |
$1$ |
$2$ |
$3$ |
$4$ |
$12$ |
$4$ |
$3$ |
$4$ |
$\Q_{5}(\sqrt[4]{5 \cdot 2})$ |
$[\ ]$ |
$[ ]$ |
$\langle \rangle$ |
$( )$ |
$x^3 + d_{0} \pi$ |
$6$ |
$0$ |
$1$ |
$1/8$ |
$0$ |
$0\%$ |
$0$ |
| 5.1.4.3a1.4-2.3.4a |
$5$ |
$6$ |
$4$ |
$24$ |
$2$ |
$1$ |
$2$ |
$3$ |
$4$ |
$12$ |
$4$ |
$3$ |
$4$ |
$\Q_{5}(\sqrt[4]{5})$ |
$[\ ]$ |
$[ ]$ |
$\langle \rangle$ |
$( )$ |
$x^3 + d_{0} \pi$ |
$6$ |
$0$ |
$1$ |
$1/8$ |
$0$ |
$0\%$ |
$0$ |
| 5.2.3.4a1.1-1.4.3a |
$5$ |
$4$ |
$6$ |
$24$ |
$1$ |
$2$ |
$2$ |
$4$ |
$3$ |
$12$ |
$3$ |
$4$ |
$3$ |
$\Q_{5}(\zeta_{24}, \sqrt[3]{\zeta_{24} \cdot 5})$ |
$[\ ]$ |
$[ ]$ |
$\langle \rangle$ |
$( )$ |
$x^4 + d_{0} \pi$ |
$4$ |
$0$ |
$1$ |
$1/3$ |
$0$ |
$0\%$ |
$0$ |
| 5.2.3.4a1.2-1.4.3a |
$5$ |
$4$ |
$6$ |
$24$ |
$1$ |
$2$ |
$2$ |
$4$ |
$3$ |
$12$ |
$3$ |
$4$ |
$3$ |
$\Q_{5}(\zeta_{24}, \sqrt[3]{5})$ |
$[\ ]$ |
$[ ]$ |
$\langle \rangle$ |
$( )$ |
$x^4 + d_{0} \pi$ |
$4$ |
$0$ |
$1$ |
$1/6$ |
$0$ |
$0\%$ |
$0$ |
| 5.1.6.5a1.1-2.2.2a |
$5$ |
$4$ |
$6$ |
$24$ |
$2$ |
$1$ |
$2$ |
$2$ |
$6$ |
$12$ |
$2$ |
$5$ |
$2$ |
$\Q_{5}(\sqrt[6]{5})$ |
$[\ ]$ |
$[ ]$ |
$\langle \rangle$ |
$( )$ |
$x^2 + d_{0} \pi$ |
$4$ |
$0$ |
$1$ |
$1/4$ |
$0$ |
$0\%$ |
$0$ |
| 5.1.6.5a1.2-2.2.2a |
$5$ |
$4$ |
$6$ |
$24$ |
$2$ |
$1$ |
$2$ |
$2$ |
$6$ |
$12$ |
$2$ |
$5$ |
$2$ |
$\Q_{5}(\sqrt[6]{5 \cdot 2})$ |
$[\ ]$ |
$[ ]$ |
$\langle \rangle$ |
$( )$ |
$x^2 + d_{0} \pi$ |
$4$ |
$0$ |
$1$ |
$1/4$ |
$0$ |
$0\%$ |
$0$ |
| 5.2.4.6a1.1-1.3.2a |
$5$ |
$3$ |
$8$ |
$24$ |
$1$ |
$2$ |
$2$ |
$3$ |
$4$ |
$12$ |
$2$ |
$6$ |
$2$ |
$\Q_{5}(\zeta_{24}, \sqrt[4]{\zeta_{24} \cdot 5})$ |
$[\ ]$ |
$[ ]$ |
$\langle \rangle$ |
$( )$ |
$x^3 + d_{0} \pi$ |
$3$ |
$0$ |
$1$ |
$1/8$ |
$0$ |
$0\%$ |
$0$ |
| 5.2.4.6a1.2-1.3.2a |
$5$ |
$3$ |
$8$ |
$24$ |
$1$ |
$2$ |
$2$ |
$3$ |
$4$ |
$12$ |
$2$ |
$6$ |
$2$ |
$\Q_{5}(\zeta_{24}, \sqrt[4]{5})$ |
$[\ ]$ |
$[ ]$ |
$\langle \rangle$ |
$( )$ |
$x^3 + d_{0} \pi$ |
$3$ |
$0$ |
$1$ |
$1/8$ |
$0$ |
$0\%$ |
$0$ |
| 5.2.4.6a1.3-1.3.2a |
$5$ |
$3$ |
$8$ |
$24$ |
$1$ |
$2$ |
$2$ |
$3$ |
$4$ |
$12$ |
$2$ |
$6$ |
$2$ |
$\Q_{5}(\zeta_{24}, \sqrt[4]{\zeta_{24}^{2} \cdot 5})$ |
$[\ ]$ |
$[ ]$ |
$\langle \rangle$ |
$( )$ |
$x^3 + d_{0} \pi$ |
$3$ |
$0$ |
$1$ |
$1/8$ |
$0$ |
$0\%$ |
$0$ |
| 5.2.4.6a1.4-1.3.2a |
$5$ |
$3$ |
$8$ |
$24$ |
$1$ |
$2$ |
$2$ |
$3$ |
$4$ |
$12$ |
$2$ |
$6$ |
$2$ |
$\Q_{5}(\zeta_{24}, \sqrt[4]{\zeta_{24}^{3} \cdot 5})$ |
$[\ ]$ |
$[ ]$ |
$\langle \rangle$ |
$( )$ |
$x^3 + d_{0} \pi$ |
$3$ |
$0$ |
$1$ |
$1/8$ |
$0$ |
$0\%$ |
$0$ |
| 5.2.6.10a1.1-1.2.1a |
$5$ |
$2$ |
$12$ |
$24$ |
$1$ |
$2$ |
$2$ |
$2$ |
$6$ |
$12$ |
$1$ |
$10$ |
$1$ |
$\Q_{5}(\zeta_{24}, \sqrt[6]{\zeta_{24} \cdot 5})$ |
$[\ ]$ |
$[ ]$ |
$\langle \rangle$ |
$( )$ |
$x^2 + d_{0} \pi$ |
$2$ |
$0$ |
$1$ |
$1/6$ |
$0$ |
$0\%$ |
$0$ |
| 5.2.6.10a1.2-1.2.1a |
$5$ |
$2$ |
$12$ |
$24$ |
$1$ |
$2$ |
$2$ |
$2$ |
$6$ |
$12$ |
$1$ |
$10$ |
$1$ |
$\Q_{5}(\zeta_{24}, \sqrt[6]{5})$ |
$[\ ]$ |
$[ ]$ |
$\langle \rangle$ |
$( )$ |
$x^2 + d_{0} \pi$ |
$2$ |
$0$ |
$1$ |
$1/12$ |
$0$ |
$0\%$ |
$0$ |
| 5.2.6.10a1.3-1.2.1a |
$5$ |
$2$ |
$12$ |
$24$ |
$1$ |
$2$ |
$2$ |
$2$ |
$6$ |
$12$ |
$1$ |
$10$ |
$1$ |
$\Q_{5}(\zeta_{24}, \sqrt[6]{\zeta_{24}^{2} \cdot 5})$ |
$[\ ]$ |
$[ ]$ |
$\langle \rangle$ |
$( )$ |
$x^2 + d_{0} \pi$ |
$2$ |
$0$ |
$1$ |
$1/6$ |
$0$ |
$0\%$ |
$0$ |
| 5.2.6.10a1.4-1.2.1a |
$5$ |
$2$ |
$12$ |
$24$ |
$1$ |
$2$ |
$2$ |
$2$ |
$6$ |
$12$ |
$1$ |
$10$ |
$1$ |
$\Q_{5}(\zeta_{24}, \sqrt[6]{\zeta_{24}^{3} \cdot 5})$ |
$[\ ]$ |
$[ ]$ |
$\langle \rangle$ |
$( )$ |
$x^2 + d_{0} \pi$ |
$2$ |
$0$ |
$1$ |
$1/12$ |
$0$ |
$0\%$ |
$0$ |
| 5.1.12.11a1.1-2.1.0a |
$5$ |
$2$ |
$12$ |
$24$ |
$2$ |
$1$ |
$2$ |
$1$ |
$12$ |
$12$ |
$0$ |
$11$ |
$0$ |
$\Q_{5}(\sqrt[12]{-5})$ |
$[\ ]$ |
$[ ]$ |
$\langle \rangle$ |
$( )$ |
$x$ |
$2$ |
$0$ |
$1$ |
$1/8$ |
$0$ |
$0\%$ |
$0$ |
| 5.1.12.11a1.2-2.1.0a |
$5$ |
$2$ |
$12$ |
$24$ |
$2$ |
$1$ |
$2$ |
$1$ |
$12$ |
$12$ |
$0$ |
$11$ |
$0$ |
$\Q_{5}(\sqrt[12]{5 \cdot 3})$ |
$[\ ]$ |
$[ ]$ |
$\langle \rangle$ |
$( )$ |
$x$ |
$2$ |
$0$ |
$1$ |
$1/8$ |
$0$ |
$0\%$ |
$0$ |
| 5.1.12.11a1.3-2.1.0a |
$5$ |
$2$ |
$12$ |
$24$ |
$2$ |
$1$ |
$2$ |
$1$ |
$12$ |
$12$ |
$0$ |
$11$ |
$0$ |
$\Q_{5}(\sqrt[12]{5 \cdot 2})$ |
$[\ ]$ |
$[ ]$ |
$\langle \rangle$ |
$( )$ |
$x$ |
$2$ |
$0$ |
$1$ |
$1/8$ |
$0$ |
$0\%$ |
$0$ |
| 5.1.12.11a1.4-2.1.0a |
$5$ |
$2$ |
$12$ |
$24$ |
$2$ |
$1$ |
$2$ |
$1$ |
$12$ |
$12$ |
$0$ |
$11$ |
$0$ |
$\Q_{5}(\sqrt[12]{5})$ |
$[\ ]$ |
$[ ]$ |
$\langle \rangle$ |
$( )$ |
$x$ |
$2$ |
$0$ |
$1$ |
$1/8$ |
$0$ |
$0\%$ |
$0$ |
