| Label |
$p$ |
$n$ |
$f$ |
$e$ |
$c$ |
Abs. Artin slopes |
Swan slopes |
Means |
Rams |
Generic poly |
Ambiguity |
Field count |
Mass |
Mass (absolute) |
Mass stored |
Mass found |
Wild segments |
Num. Packets |
| 3.30.1.0a |
$3$ |
$30$ |
$30$ |
$1$ |
$0$ |
$[\ ]$ |
$[ ]$ |
$\langle \rangle$ |
$( )$ |
$x$ |
$30$ |
$0$ |
$1$ |
$1/30$ |
$0$ |
$0\%$ |
$0$ |
$0$ |
| 3.15.2.15a |
$3$ |
$30$ |
$15$ |
$2$ |
$15$ |
$[\ ]$ |
$[ ]$ |
$\langle \rangle$ |
$( )$ |
$x^2 + 3 d_{0}$ |
$30$ |
$0$ |
$1$ |
$1/15$ |
$0$ |
$0\%$ |
$0$ |
$0$ |
| 3.10.3.30a |
$3$ |
$30$ |
$10$ |
$3$ |
$30$ |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
$\langle\frac{1}{3}\rangle$ |
$(\frac{1}{2})$ |
$x^3 + 3 a_{1} x + 3$ |
$10$ |
$0$ |
$59048$ |
$29524/5$ |
$0$ |
$0\%$ |
$1$ |
$0$ |
| 3.10.3.40a |
$3$ |
$30$ |
$10$ |
$3$ |
$40$ |
$[2]$ |
$[1]$ |
$\langle\frac{2}{3}\rangle$ |
$(1)$ |
$x^3 + 3 a_{2} x^2 + 9 c_{3} + 3$ |
$30$ |
$0$ |
$59048$ |
$29524/5$ |
$0$ |
$0\%$ |
$1$ |
$0$ |
| 3.10.3.50a |
$3$ |
$30$ |
$10$ |
$3$ |
$50$ |
$[\frac{5}{2}]$ |
$[\frac{3}{2}]$ |
$\langle1\rangle$ |
$(\frac{3}{2})$ |
$x^3 + 9 b_{4} x + 3$ |
$10$ |
$0$ |
$59049$ |
$59049/10$ |
$0$ |
$0\%$ |
$1$ |
$0$ |
| 3.6.5.24a |
$3$ |
$30$ |
$6$ |
$5$ |
$24$ |
$[\ ]$ |
$[ ]$ |
$\langle \rangle$ |
$( )$ |
$x^5 + 3$ |
$6$ |
$0$ |
$1$ |
$1/6$ |
$0$ |
$0\%$ |
$0$ |
$0$ |
| 3.5.6.30a |
$3$ |
$30$ |
$5$ |
$6$ |
$30$ |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
$\langle\frac{1}{6}\rangle$ |
$(\frac{1}{2})$ |
$x^6 + 3 a_{1} x + 3 d_{0}$ |
$10$ |
$0$ |
$242$ |
$242/5$ |
$0$ |
$0\%$ |
$1$ |
$0$ |
| 3.5.6.35a |
$3$ |
$30$ |
$5$ |
$6$ |
$35$ |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
$\langle\frac{1}{3}\rangle$ |
$(1)$ |
$x^6 + 3 c_{3} x^3 + 3 a_{2} x^2 + 3 d_{0}$ |
$30$ |
$0$ |
$242$ |
$242/5$ |
$0$ |
$0\%$ |
$1$ |
$0$ |
| 3.5.6.45a |
$3$ |
$30$ |
$5$ |
$6$ |
$45$ |
$[2]$ |
$[1]$ |
$\langle\frac{2}{3}\rangle$ |
$(2)$ |
$x^6 + 3 b_{5} x^5 + 3 a_{4} x^4 + 3 d_{0} + 9 c_{6}$ |
$30$ |
$0$ |
$58806$ |
$58806/5$ |
$0$ |
$0\%$ |
$1$ |
$0$ |
| 3.5.6.50a |
$3$ |
$30$ |
$5$ |
$6$ |
$50$ |
$[\frac{9}{4}]$ |
$[\frac{5}{4}]$ |
$\langle\frac{5}{6}\rangle$ |
$(\frac{5}{2})$ |
$x^6 + 3 a_{5} x^5 + 9 b_{7} x + 3 d_{0}$ |
$10$ |
$0$ |
$58806$ |
$58806/5$ |
$0$ |
$0\%$ |
$1$ |
$0$ |
| 3.5.6.55a |
$3$ |
$30$ |
$5$ |
$6$ |
$55$ |
$[\frac{5}{2}]$ |
$[\frac{3}{2}]$ |
$\langle1\rangle$ |
$(3)$ |
$x^6 + 9 c_{9} x^3 + 9 b_{8} x^2 + 9 b_{7} x + 3 d_{0}$ |
$30$ |
$0$ |
$59049$ |
$59049/5$ |
$0$ |
$0\%$ |
$1$ |
$0$ |
| 3.3.10.27a |
$3$ |
$30$ |
$3$ |
$10$ |
$27$ |
$[\ ]$ |
$[ ]$ |
$\langle \rangle$ |
$( )$ |
$x^{10} + 3 d_{0}$ |
$6$ |
$0$ |
$1$ |
$1/3$ |
$0$ |
$0\%$ |
$0$ |
$0$ |
| 3.2.15.30a |
$3$ |
$30$ |
$2$ |
$15$ |
$30$ |
$[\frac{11}{10}]$ |
$[\frac{1}{10}]$ |
$\langle\frac{1}{15}\rangle$ |
$(\frac{1}{2})$ |
$x^{15} + 3 a_{1} x + 3$ |
$2$ |
$0$ |
$8$ |
$4$ |
$0$ |
$0\%$ |
$1$ |
$0$ |
| 3.2.15.32a |
$3$ |
$30$ |
$2$ |
$15$ |
$32$ |
$[\frac{6}{5}]$ |
$[\frac{1}{5}]$ |
$\langle\frac{2}{15}\rangle$ |
$(1)$ |
$x^{15} + 3 c_{3} x^3 + 3 a_{2} x^2 + 3$ |
$6$ |
$0$ |
$8$ |
$4$ |
$0$ |
$0\%$ |
$1$ |
$0$ |
| 3.2.15.36a |
$3$ |
$30$ |
$2$ |
$15$ |
$36$ |
$[\frac{7}{5}]$ |
$[\frac{2}{5}]$ |
$\langle\frac{4}{15}\rangle$ |
$(2)$ |
$x^{15} + 3 c_{6} x^6 + 3 b_{5} x^5 + 3 a_{4} x^4 + 3$ |
$6$ |
$0$ |
$72$ |
$36$ |
$0$ |
$0\%$ |
$1$ |
$0$ |
| 3.2.15.38a |
$3$ |
$30$ |
$2$ |
$15$ |
$38$ |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
$\langle\frac{1}{3}\rangle$ |
$(\frac{5}{2})$ |
$x^{15} + 3 b_{7} x^7 + 3 a_{5} x^5 + 3$ |
$2$ |
$0$ |
$72$ |
$36$ |
$0$ |
$0\%$ |
$1$ |
$0$ |
| 3.2.15.42a |
$3$ |
$30$ |
$2$ |
$15$ |
$42$ |
$[\frac{17}{10}]$ |
$[\frac{7}{10}]$ |
$\langle\frac{7}{15}\rangle$ |
$(\frac{7}{2})$ |
$x^{15} + 3 b_{10} x^{10} + 3 b_{8} x^8 + 3 a_{7} x^7 + 3$ |
$2$ |
$0$ |
$648$ |
$324$ |
$0$ |
$0\%$ |
$1$ |
$0$ |
| 3.2.15.44a |
$3$ |
$30$ |
$2$ |
$15$ |
$44$ |
$[\frac{9}{5}]$ |
$[\frac{4}{5}]$ |
$\langle\frac{8}{15}\rangle$ |
$(4)$ |
$x^{15} + 3 c_{12} x^{12} + 3 b_{11} x^{11} + 3 b_{10} x^{10} + 3 a_{8} x^8 + 3$ |
$6$ |
$0$ |
$648$ |
$324$ |
$0$ |
$0\%$ |
$1$ |
$0$ |
| 3.2.15.48a |
$3$ |
$30$ |
$2$ |
$15$ |
$48$ |
$[2]$ |
$[1]$ |
$\langle\frac{2}{3}\rangle$ |
$(5)$ |
$x^{15} + 3 b_{14} x^{14} + 3 b_{13} x^{13} + 3 b_{11} x^{11} + 3 a_{10} x^{10} + 9 c_{15} + 3$ |
$6$ |
$0$ |
$5832$ |
$2916$ |
$0$ |
$0\%$ |
$1$ |
$0$ |
| 3.2.15.50a |
$3$ |
$30$ |
$2$ |
$15$ |
$50$ |
$[\frac{21}{10}]$ |
$[\frac{11}{10}]$ |
$\langle\frac{11}{15}\rangle$ |
$(\frac{11}{2})$ |
$x^{15} + 3 b_{14} x^{14} + 3 b_{13} x^{13} + 3 a_{11} x^{11} + 9 b_{16} x + 3$ |
$2$ |
$0$ |
$5832$ |
$2916$ |
$0$ |
$0\%$ |
$1$ |
$0$ |
| 3.2.15.54a |
$3$ |
$30$ |
$2$ |
$15$ |
$54$ |
$[\frac{23}{10}]$ |
$[\frac{13}{10}]$ |
$\langle\frac{13}{15}\rangle$ |
$(\frac{13}{2})$ |
$x^{15} + 3 b_{14} x^{14} + 3 a_{13} x^{13} + 9 b_{19} x^4 + 9 b_{17} x^2 + 9 b_{16} x + 3$ |
$2$ |
$0$ |
$52488$ |
$26244$ |
$0$ |
$0\%$ |
$1$ |
$0$ |
| 3.2.15.56a |
$3$ |
$30$ |
$2$ |
$15$ |
$56$ |
$[\frac{12}{5}]$ |
$[\frac{7}{5}]$ |
$\langle\frac{14}{15}\rangle$ |
$(7)$ |
$x^{15} + 3 a_{14} x^{14} + 9 c_{21} x^6 + 9 b_{20} x^5 + 9 b_{19} x^4 + 9 b_{17} x^2 + 9 b_{16} x + 3$ |
$6$ |
$0$ |
$52488$ |
$26244$ |
$0$ |
$0\%$ |
$1$ |
$0$ |
| 3.2.15.58a |
$3$ |
$30$ |
$2$ |
$15$ |
$58$ |
$[\frac{5}{2}]$ |
$[\frac{3}{2}]$ |
$\langle1\rangle$ |
$(\frac{15}{2})$ |
$x^{15} + 9 b_{22} x^7 + 9 b_{20} x^5 + 9 b_{19} x^4 + 9 b_{17} x^2 + 9 b_{16} x + 3$ |
$2$ |
$0$ |
$59049$ |
$59049/2$ |
$0$ |
$0\%$ |
$1$ |
$0$ |
| 3.1.30.30a |
$3$ |
$30$ |
$1$ |
$30$ |
$30$ |
$[\frac{21}{20}]$ |
$[\frac{1}{20}]$ |
$\langle\frac{1}{30}\rangle$ |
$(\frac{1}{2})$ |
$x^{30} + 3 a_{1} x + 3 d_{0}$ |
$2$ |
$0$ |
$2$ |
$2$ |
$0$ |
$0\%$ |
$1$ |
$0$ |
| 3.1.30.31a |
$3$ |
$30$ |
$1$ |
$30$ |
$31$ |
$[\frac{11}{10}]$ |
$[\frac{1}{10}]$ |
$\langle\frac{1}{15}\rangle$ |
$(1)$ |
$x^{30} + 3 c_{3} x^3 + 3 a_{2} x^2 + 3 d_{0}$ |
$6$ |
$0$ |
$2$ |
$2$ |
$0$ |
$0\%$ |
$1$ |
$0$ |
| 3.1.30.33a |
$3$ |
$30$ |
$1$ |
$30$ |
$33$ |
$[\frac{6}{5}]$ |
$[\frac{1}{5}]$ |
$\langle\frac{2}{15}\rangle$ |
$(2)$ |
$x^{30} + 3 c_{6} x^6 + 3 b_{5} x^5 + 3 a_{4} x^4 + 3 d_{0}$ |
$6$ |
$0$ |
$6$ |
$6$ |
$0$ |
$0\%$ |
$1$ |
$0$ |
| 3.1.30.34a |
$3$ |
$30$ |
$1$ |
$30$ |
$34$ |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
$\langle\frac{1}{6}\rangle$ |
$(\frac{5}{2})$ |
$x^{30} + 3 b_{7} x^7 + 3 a_{5} x^5 + 3 d_{0}$ |
$2$ |
$0$ |
$6$ |
$6$ |
$0$ |
$0\%$ |
$1$ |
$0$ |
| 3.1.30.36a |
$3$ |
$30$ |
$1$ |
$30$ |
$36$ |
$[\frac{27}{20}]$ |
$[\frac{7}{20}]$ |
$\langle\frac{7}{30}\rangle$ |
$(\frac{7}{2})$ |
$x^{30} + 3 b_{10} x^{10} + 3 b_{8} x^8 + 3 a_{7} x^7 + 3 d_{0}$ |
$2$ |
$0$ |
$18$ |
$18$ |
$0$ |
$0\%$ |
$1$ |
$0$ |
| 3.1.30.37a |
$3$ |
$30$ |
$1$ |
$30$ |
$37$ |
$[\frac{7}{5}]$ |
$[\frac{2}{5}]$ |
$\langle\frac{4}{15}\rangle$ |
$(4)$ |
$x^{30} + 3 c_{12} x^{12} + 3 b_{11} x^{11} + 3 b_{10} x^{10} + 3 a_{8} x^8 + 3 d_{0}$ |
$6$ |
$0$ |
$18$ |
$18$ |
$0$ |
$0\%$ |
$1$ |
$0$ |
| 3.1.30.39a |
$3$ |
$30$ |
$1$ |
$30$ |
$39$ |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
$\langle\frac{1}{3}\rangle$ |
$(5)$ |
$x^{30} + 3 c_{15} x^{15} + 3 b_{14} x^{14} + 3 b_{13} x^{13} + 3 b_{11} x^{11} + 3 a_{10} x^{10} + 3 d_{0}$ |
$6$ |
$0$ |
$54$ |
$54$ |
$0$ |
$0\%$ |
$1$ |
$0$ |
| 3.1.30.40a |
$3$ |
$30$ |
$1$ |
$30$ |
$40$ |
$[\frac{31}{20}]$ |
$[\frac{11}{20}]$ |
$\langle\frac{11}{30}\rangle$ |
$(\frac{11}{2})$ |
$x^{30} + 3 b_{16} x^{16} + 3 b_{14} x^{14} + 3 b_{13} x^{13} + 3 a_{11} x^{11} + 3 d_{0}$ |
$2$ |
$0$ |
$54$ |
$54$ |
$0$ |
$0\%$ |
$1$ |
$0$ |
| 3.1.30.42a |
$3$ |
$30$ |
$1$ |
$30$ |
$42$ |
$[\frac{33}{20}]$ |
$[\frac{13}{20}]$ |
$\langle\frac{13}{30}\rangle$ |
$(\frac{13}{2})$ |
$x^{30} + 3 b_{19} x^{19} + 3 b_{17} x^{17} + 3 b_{16} x^{16} + 3 b_{14} x^{14} + 3 a_{13} x^{13} + 3 d_{0}$ |
$2$ |
$0$ |
$162$ |
$162$ |
$0$ |
$0\%$ |
$1$ |
$0$ |
| 3.1.30.43a |
$3$ |
$30$ |
$1$ |
$30$ |
$43$ |
$[\frac{17}{10}]$ |
$[\frac{7}{10}]$ |
$\langle\frac{7}{15}\rangle$ |
$(7)$ |
$x^{30} + 3 c_{21} x^{21} + 3 b_{20} x^{20} + 3 b_{19} x^{19} + 3 b_{17} x^{17} + 3 b_{16} x^{16} + 3 a_{14} x^{14} + 3 d_{0}$ |
$6$ |
$0$ |
$162$ |
$162$ |
$0$ |
$0\%$ |
$1$ |
$0$ |
| 3.1.30.45a |
$3$ |
$30$ |
$1$ |
$30$ |
$45$ |
$[\frac{9}{5}]$ |
$[\frac{4}{5}]$ |
$\langle\frac{8}{15}\rangle$ |
$(8)$ |
$x^{30} + 3 c_{24} x^{24} + 3 b_{23} x^{23} + 3 b_{22} x^{22} + 3 b_{20} x^{20} + 3 b_{19} x^{19} + 3 b_{17} x^{17} + 3 a_{16} x^{16} + 3 d_{0}$ |
$6$ |
$0$ |
$486$ |
$486$ |
$0$ |
$0\%$ |
$1$ |
$0$ |
| 3.1.30.46a |
$3$ |
$30$ |
$1$ |
$30$ |
$46$ |
$[\frac{37}{20}]$ |
$[\frac{17}{20}]$ |
$\langle\frac{17}{30}\rangle$ |
$(\frac{17}{2})$ |
$x^{30} + 3 b_{25} x^{25} + 3 b_{23} x^{23} + 3 b_{22} x^{22} + 3 b_{20} x^{20} + 3 b_{19} x^{19} + 3 a_{17} x^{17} + 3 d_{0}$ |
$2$ |
$0$ |
$486$ |
$486$ |
$0$ |
$0\%$ |
$1$ |
$0$ |
| 3.1.30.48a |
$3$ |
$30$ |
$1$ |
$30$ |
$48$ |
$[\frac{39}{20}]$ |
$[\frac{19}{20}]$ |
$\langle\frac{19}{30}\rangle$ |
$(\frac{19}{2})$ |
$x^{30} + 3 b_{28} x^{28} + 3 b_{26} x^{26} + 3 b_{25} x^{25} + 3 b_{23} x^{23} + 3 b_{22} x^{22} + 3 b_{20} x^{20} + 3 a_{19} x^{19} + 3 d_{0}$ |
$2$ |
$0$ |
$1458$ |
$1458$ |
$0$ |
$0\%$ |
$1$ |
$0$ |
| 3.1.30.49a |
$3$ |
$30$ |
$1$ |
$30$ |
$49$ |
$[2]$ |
$[1]$ |
$\langle\frac{2}{3}\rangle$ |
$(10)$ |
$x^{30} + 3 b_{29} x^{29} + 3 b_{28} x^{28} + 3 b_{26} x^{26} + 3 b_{25} x^{25} + 3 b_{23} x^{23} + 3 b_{22} x^{22} + 3 a_{20} x^{20} + 3 d_{0} + 9 c_{30}$ |
$6$ |
$0$ |
$1458$ |
$1458$ |
$0$ |
$0\%$ |
$1$ |
$0$ |
| 3.1.30.51a |
$3$ |
$30$ |
$1$ |
$30$ |
$51$ |
$[\frac{21}{10}]$ |
$[\frac{11}{10}]$ |
$\langle\frac{11}{15}\rangle$ |
$(11)$ |
$x^{30} + 3 b_{29} x^{29} + 3 b_{28} x^{28} + 3 b_{26} x^{26} + 3 b_{25} x^{25} + 3 b_{23} x^{23} + 3 a_{22} x^{22} + 9 c_{33} x^3 + 9 b_{32} x^2 + 9 b_{31} x + 3 d_{0}$ |
$6$ |
$0$ |
$4374$ |
$4374$ |
$0$ |
$0\%$ |
$1$ |
$0$ |
| 3.1.30.52a |
$3$ |
$30$ |
$1$ |
$30$ |
$52$ |
$[\frac{43}{20}]$ |
$[\frac{23}{20}]$ |
$\langle\frac{23}{30}\rangle$ |
$(\frac{23}{2})$ |
$x^{30} + 3 b_{29} x^{29} + 3 b_{28} x^{28} + 3 b_{26} x^{26} + 3 b_{25} x^{25} + 3 a_{23} x^{23} + 9 b_{34} x^4 + 9 b_{32} x^2 + 9 b_{31} x + 3 d_{0}$ |
$2$ |
$0$ |
$4374$ |
$4374$ |
$0$ |
$0\%$ |
$1$ |
$0$ |
| 3.1.30.54a |
$3$ |
$30$ |
$1$ |
$30$ |
$54$ |
$[\frac{9}{4}]$ |
$[\frac{5}{4}]$ |
$\langle\frac{5}{6}\rangle$ |
$(\frac{25}{2})$ |
$x^{30} + 3 b_{29} x^{29} + 3 b_{28} x^{28} + 3 b_{26} x^{26} + 3 a_{25} x^{25} + 9 b_{37} x^7 + 9 b_{35} x^5 + 9 b_{34} x^4 + 9 b_{32} x^2 + 9 b_{31} x + 3 d_{0}$ |
$2$ |
$0$ |
$13122$ |
$13122$ |
$0$ |
$0\%$ |
$1$ |
$0$ |
| 3.1.30.55a |
$3$ |
$30$ |
$1$ |
$30$ |
$55$ |
$[\frac{23}{10}]$ |
$[\frac{13}{10}]$ |
$\langle\frac{13}{15}\rangle$ |
$(13)$ |
$x^{30} + 3 b_{29} x^{29} + 3 b_{28} x^{28} + 3 a_{26} x^{26} + 9 c_{39} x^9 + 9 b_{38} x^8 + 9 b_{37} x^7 + 9 b_{35} x^5 + 9 b_{34} x^4 + 9 b_{32} x^2 + 9 b_{31} x + 3 d_{0}$ |
$6$ |
$0$ |
$13122$ |
$13122$ |
$0$ |
$0\%$ |
$1$ |
$0$ |
| 3.1.30.57a |
$3$ |
$30$ |
$1$ |
$30$ |
$57$ |
$[\frac{12}{5}]$ |
$[\frac{7}{5}]$ |
$\langle\frac{14}{15}\rangle$ |
$(14)$ |
$x^{30} + 3 b_{29} x^{29} + 3 a_{28} x^{28} + 9 c_{42} x^{12} + 9 b_{41} x^{11} + 9 b_{40} x^{10} + 9 b_{38} x^8 + 9 b_{37} x^7 + 9 b_{35} x^5 + 9 b_{34} x^4 + 9 b_{32} x^2 + 9 b_{31} x + 3 d_{0}$ |
$6$ |
$0$ |
$39366$ |
$39366$ |
$0$ |
$0\%$ |
$1$ |
$0$ |
| 3.1.30.58a |
$3$ |
$30$ |
$1$ |
$30$ |
$58$ |
$[\frac{49}{20}]$ |
$[\frac{29}{20}]$ |
$\langle\frac{29}{30}\rangle$ |
$(\frac{29}{2})$ |
$x^{30} + 3 a_{29} x^{29} + 9 b_{43} x^{13} + 9 b_{41} x^{11} + 9 b_{40} x^{10} + 9 b_{38} x^8 + 9 b_{37} x^7 + 9 b_{35} x^5 + 9 b_{34} x^4 + 9 b_{32} x^2 + 9 b_{31} x + 3 d_{0}$ |
$2$ |
$0$ |
$39366$ |
$39366$ |
$0$ |
$0\%$ |
$1$ |
$0$ |
| 3.1.30.59a |
$3$ |
$30$ |
$1$ |
$30$ |
$59$ |
$[\frac{5}{2}]$ |
$[\frac{3}{2}]$ |
$\langle1\rangle$ |
$(15)$ |
$x^{30} + 9 c_{45} x^{15} + 9 b_{44} x^{14} + 9 b_{43} x^{13} + 9 b_{41} x^{11} + 9 b_{40} x^{10} + 9 b_{38} x^8 + 9 b_{37} x^7 + 9 b_{35} x^5 + 9 b_{34} x^4 + 9 b_{32} x^2 + 9 b_{31} x + 3 d_{0}$ |
$6$ |
$0$ |
$59049$ |
$59049$ |
$0$ |
$0\%$ |
$1$ |
$0$ |
