Learn more

Refine search


Results (43 matches)

  displayed columns for results
Label $p$ $n$ $f$ $e$ $c$ Abs. Artin slopes Swan slopes Means Rams Generic poly Ambiguity Field count Mass Num. Packets
2.12.1.0a $2$ $12$ $12$ $1$ $0$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $12$ $1$ $1$ $1$
2.6.2.12a $2$ $12$ $6$ $2$ $12$ $[2]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + 2 a_{1} x + 4 c_{2} + 2$ $12$ $26$ $63$ $20$
2.6.2.18a $2$ $12$ $6$ $2$ $18$ $[3]$ $[2]$ $\langle1\rangle$ $(2)$ $x^2 + 4 b_{3} x + 8 c_{4} + 2$ $12$ $28$ $64$ $9$
2.4.3.8a $2$ $12$ $4$ $3$ $8$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^3 + 2 d_{0}$ $12$ $2$ $1$ $2$
2.3.4.12a $2$ $12$ $3$ $4$ $12$ $[\frac{4}{3}, \frac{4}{3}]$ $[\frac{1}{3}, \frac{1}{3}]$ $\langle\frac{1}{6}, \frac{1}{4}\rangle$ $(\frac{1}{3}, \frac{1}{3})$ $x^4 + 2 a_{1} x + 2$ $3$ $3$ $7$ $3$
2.3.4.18a $2$ $12$ $3$ $4$ $18$ $[2, 2]$ $[1, 1]$ $\langle\frac{1}{2}, \frac{3}{4}\rangle$ $(1, 1)$ $x^4 + 2 a_{3} x^3 + 2 b_{2} x^2 + 4 c_{4} + 2$ $12$ $37$ $56$ $27$
2.3.4.24a $2$ $12$ $3$ $4$ $24$ $[\frac{8}{3}, \frac{8}{3}]$ $[\frac{5}{3}, \frac{5}{3}]$ $\langle\frac{5}{6}, \frac{5}{4}\rangle$ $(\frac{5}{3}, \frac{5}{3})$ $x^4 + 4 b_{6} x^2 + 4 a_{5} x + 2$ $3$ $20$ $56$ $5$
2.3.4.24b $2$ $12$ $3$ $4$ $24$ $[2, 3]$ $[1, 2]$ $\langle\frac{1}{2}, \frac{5}{4}\rangle$ $(1, 3)$ $x^4 + 4 b_{7} x^3 + 2 a_{2} x^2 + 4 a_{5} x + 4 c_{4} + 8 c_{8} + 2$ $12$ $300$ $392$ $54$
2.3.4.27a $2$ $12$ $3$ $4$ $27$ $[2, \frac{7}{2}]$ $[1, \frac{5}{2}]$ $\langle\frac{1}{2}, \frac{3}{2}\rangle$ $(1, 4)$ $x^4 + 4 b_{7} x^3 + (2 a_{2} + 8 c_{10}) x^2 + 8 b_{9} x + 4 c_{4} + 2$ $12$ $304$ $448$ $13$
2.3.4.30a $2$ $12$ $3$ $4$ $30$ $[3, \frac{7}{2}]$ $[2, \frac{5}{2}]$ $\langle1, \frac{7}{4}\rangle$ $(2, 3)$ $x^4 + 4 a_{7} x^3 + (4 b_{6} + 8 c_{10}) x^2 + 8 b_{9} x + 8 c_{8} + 2$ $12$ $304$ $448$ $13$
2.3.4.33a $2$ $12$ $3$ $4$ $33$ $[3, 4]$ $[2, 3]$ $\langle1, 2\rangle$ $(2, 4)$ $x^4 + 8 b_{11} x^3 + 4 b_{6} x^2 + 8 b_{9} x + 8 c_{8} + 16 c_{12} + 2$ $12$ $376$ $512$ $18$
2.2.6.12a $2$ $12$ $2$ $6$ $12$ $[\frac{4}{3}]$ $[\frac{1}{3}]$ $\langle\frac{1}{6}\rangle$ $(1)$ $x^6 + 2 c_{2} x^2 + 2 a_{1} x + 2 d_{0}$ $12$ $4$ $3$ $4$
2.2.6.16a $2$ $12$ $2$ $6$ $16$ $[2]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(3)$ $x^6 + 2 b_{5} x^5 + 2 a_{3} x^3 + 2 d_{0} + 4 c_{6}$ $12$ $20$ $12$ $14$
2.2.6.20a $2$ $12$ $2$ $6$ $20$ $[\frac{8}{3}]$ $[\frac{5}{3}]$ $\langle\frac{5}{6}\rangle$ $(5)$ $x^6 + 2 a_{5} x^5 + 4 c_{10} x^4 + 4 b_{9} x^3 + 4 b_{7} x + 2 d_{0}$ $12$ $52$ $48$ $15$
2.2.6.22a $2$ $12$ $2$ $6$ $22$ $[3]$ $[2]$ $\langle1\rangle$ $(6)$ $x^6 + 4 b_{11} x^5 + 4 b_{9} x^3 + 4 b_{7} x + 2 d_{0} + 8 c_{12}$ $12$ $80$ $64$ $21$
2.1.12.12a $2$ $12$ $1$ $12$ $12$ $[\frac{10}{9}, \frac{10}{9}]$ $[\frac{1}{9}, \frac{1}{9}]$ $\langle\frac{1}{18}, \frac{1}{12}\rangle$ $(\frac{1}{3}, \frac{1}{3})$ $x^{12} + 2 a_{1} x + 2$ $1$ $1$ $1$ $1$
2.1.12.14a $2$ $12$ $1$ $12$ $14$ $[\frac{4}{3}, \frac{4}{3}]$ $[\frac{1}{3}, \frac{1}{3}]$ $\langle\frac{1}{6}, \frac{1}{4}\rangle$ $(1, 1)$ $x^{12} + 2 c_{4} x^4 + 2 a_{3} x^3 + 2 b_{2} x^2 + 2$ $2$ $3$ $2$ $3$
2.1.12.16a $2$ $12$ $1$ $12$ $16$ $[\frac{14}{9}, \frac{14}{9}]$ $[\frac{5}{9}, \frac{5}{9}]$ $\langle\frac{5}{18}, \frac{5}{12}\rangle$ $(\frac{5}{3}, \frac{5}{3})$ $x^{12} + 2 b_{6} x^6 + 2 a_{5} x^5 + 2$ $1$ $2$ $2$ $1$
2.1.12.16b $2$ $12$ $1$ $12$ $16$ $[\frac{4}{3}, \frac{5}{3}]$ $[\frac{1}{3}, \frac{2}{3}]$ $\langle\frac{1}{6}, \frac{5}{12}\rangle$ $(1, 3)$ $x^{12} + 2 c_{8} x^8 + 2 b_{7} x^7 + 2 a_{5} x^5 + 2 c_{4} x^4 + 2 a_{2} x^2 + 2$ $4$ $6$ $2$ $5$
2.1.12.18a $2$ $12$ $1$ $12$ $18$ $[\frac{16}{9}, \frac{16}{9}]$ $[\frac{7}{9}, \frac{7}{9}]$ $\langle\frac{7}{18}, \frac{7}{12}\rangle$ $(\frac{7}{3}, \frac{7}{3})$ $x^{12} + 2 b_{9} x^9 + 2 a_{7} x^7 + 2 b_{6} x^6 + 2$ $1$ $4$ $4$ $1$
2.1.12.18b $2$ $12$ $1$ $12$ $18$ $[\frac{4}{3}, 2]$ $[\frac{1}{3}, 1]$ $\langle\frac{1}{6}, \frac{7}{12}\rangle$ $(1, 5)$ $x^{12} + 2 b_{11} x^{11} + 2 b_{9} x^9 + 2 a_{7} x^7 + 2 c_{4} x^4 + 2 a_{2} x^2 + 4 c_{12} + 2$ $4$ $12$ $4$ $8$
2.1.12.20a $2$ $12$ $1$ $12$ $20$ $[2, 2]$ $[1, 1]$ $\langle\frac{1}{2}, \frac{3}{4}\rangle$ $(3, 3)$ $x^{12} + 2 b_{11} x^{11} + 2 b_{10} x^{10} + 2 a_{9} x^9 + 2 b_{6} x^6 + 4 c_{12} + 2$ $2$ $12$ $8$ $5$
2.1.12.20b $2$ $12$ $1$ $12$ $20$ $[\frac{4}{3}, \frac{7}{3}]$ $[\frac{1}{3}, \frac{4}{3}]$ $\langle\frac{1}{6}, \frac{3}{4}\rangle$ $(1, 7)$ $x^{12} + 2 b_{11} x^{11} + 2 a_{9} x^9 + (2 c_{4} + 4 c_{16}) x^4 + 4 b_{15} x^3 + 2 a_{2} x^2 + 4 b_{13} x + 2$ $4$ $16$ $8$ $6$
2.1.12.22a $2$ $12$ $1$ $12$ $22$ $[\frac{20}{9}, \frac{20}{9}]$ $[\frac{11}{9}, \frac{11}{9}]$ $\langle\frac{11}{18}, \frac{11}{12}\rangle$ $(\frac{11}{3}, \frac{11}{3})$ $x^{12} + 2 a_{11} x^{11} + 2 b_{10} x^{10} + 4 b_{14} x^2 + 4 b_{13} x + 2$ $1$ $8$ $8$ $1$
2.1.12.22b $2$ $12$ $1$ $12$ $22$ $[\frac{4}{3}, \frac{8}{3}]$ $[\frac{1}{3}, \frac{5}{3}]$ $\langle\frac{1}{6}, \frac{11}{12}\rangle$ $(1, 9)$ $x^{12} + 2 a_{11} x^{11} + 4 c_{20} x^8 + 4 b_{19} x^7 + 4 b_{17} x^5 + 2 c_{4} x^4 + 4 b_{15} x^3 + 2 a_{2} x^2 + 4 b_{13} x + 2$ $4$ $40$ $16$ $23$
2.1.12.22c $2$ $12$ $1$ $12$ $22$ $[2, \frac{7}{3}]$ $[1, \frac{4}{3}]$ $\langle\frac{1}{2}, \frac{11}{12}\rangle$ $(3, 5)$ $x^{12} + 2 a_{11} x^{11} + 2 b_{10} x^{10} + 2 a_{6} x^6 + 4 c_{16} x^4 + 4 b_{15} x^3 + 4 b_{13} x + 4 c_{12} + 2$ $4$ $16$ $8$ $6$
2.1.12.24a $2$ $12$ $1$ $12$ $24$ $[\frac{22}{9}, \frac{22}{9}]$ $[\frac{13}{9}, \frac{13}{9}]$ $\langle\frac{13}{18}, \frac{13}{12}\rangle$ $(\frac{13}{3}, \frac{13}{3})$ $x^{12} + 2 b_{10} x^{10} + 4 b_{17} x^5 + 4 b_{15} x^3 + 4 b_{14} x^2 + 4 a_{13} x + 2$ $1$ $16$ $16$ $1$
2.1.12.24b $2$ $12$ $1$ $12$ $24$ $[\frac{4}{3}, 3]$ $[\frac{1}{3}, 2]$ $\langle\frac{1}{6}, \frac{13}{12}\rangle$ $(1, 11)$ $x^{12} + 4 b_{23} x^{11} + 4 b_{21} x^9 + 4 b_{19} x^7 + 4 b_{17} x^5 + 2 c_{4} x^4 + 4 b_{15} x^3 + 2 a_{2} x^2 + 4 a_{13} x + 8 c_{24} + 2$ $4$ $80$ $32$ $24$
2.1.12.24c $2$ $12$ $1$ $12$ $24$ $[2, \frac{8}{3}]$ $[1, \frac{5}{3}]$ $\langle\frac{1}{2}, \frac{13}{12}\rangle$ $(3, 7)$ $x^{12} + 2 b_{10} x^{10} + 4 c_{20} x^8 + 4 b_{19} x^7 + 2 a_{6} x^6 + 4 b_{17} x^5 + 4 b_{15} x^3 + 4 a_{13} x + 4 c_{12} + 2$ $4$ $40$ $16$ $12$
2.1.12.25a $2$ $12$ $1$ $12$ $25$ $[\frac{4}{3}, \frac{19}{6}]$ $[\frac{1}{3}, \frac{13}{6}]$ $\langle\frac{1}{6}, \frac{7}{6}\rangle$ $(1, 12)$ $x^{12} + 4 b_{23} x^{11} + 4 b_{21} x^9 + 4 b_{19} x^7 + 4 b_{17} x^5 + 2 c_{4} x^4 + 4 b_{15} x^3 + (2 a_{2} + 8 c_{26}) x^2 + 8 b_{25} x + 2$ $4$ $128$ $64$ $7$
2.1.12.26a $2$ $12$ $1$ $12$ $26$ $[\frac{8}{3}, \frac{8}{3}]$ $[\frac{5}{3}, \frac{5}{3}]$ $\langle\frac{5}{6}, \frac{5}{4}\rangle$ $(5, 5)$ $x^{12} + 2 b_{10} x^{10} + 4 c_{20} x^8 + 4 b_{19} x^7 + 4 b_{18} x^6 + 4 b_{17} x^5 + 4 a_{15} x^3 + 4 b_{14} x^2 + 2$ $2$ $48$ $32$ $12$
2.1.12.26b $2$ $12$ $1$ $12$ $26$ $[2, 3]$ $[1, 2]$ $\langle\frac{1}{2}, \frac{5}{4}\rangle$ $(3, 9)$ $x^{12} + 4 b_{23} x^{11} + 2 b_{10} x^{10} + 4 b_{21} x^9 + 4 b_{19} x^7 + 2 a_{6} x^6 + 4 b_{17} x^5 + 4 a_{15} x^3 + 4 c_{12} + 8 c_{24} + 2$ $4$ $80$ $32$ $17$
2.1.12.28a $2$ $12$ $1$ $12$ $28$ $[\frac{26}{9}, \frac{26}{9}]$ $[\frac{17}{9}, \frac{17}{9}]$ $\langle\frac{17}{18}, \frac{17}{12}\rangle$ $(\frac{17}{3}, \frac{17}{3})$ $x^{12} + 4 b_{22} x^{10} + 4 b_{21} x^9 + 4 b_{19} x^7 + 4 b_{18} x^6 + 4 a_{17} x^5 + 4 b_{14} x^2 + 2$ $1$ $32$ $32$ $1$
2.1.12.28b $2$ $12$ $1$ $12$ $28$ $[2, \frac{10}{3}]$ $[1, \frac{7}{3}]$ $\langle\frac{1}{2}, \frac{17}{12}\rangle$ $(3, 11)$ $x^{12} + 4 b_{23} x^{11} + 2 b_{10} x^{10} + 4 b_{21} x^9 + 4 b_{19} x^7 + 2 a_{6} x^6 + 4 a_{17} x^5 + 8 c_{28} x^4 + 8 b_{27} x^3 + 8 b_{25} x + 4 c_{12} + 2$ $4$ $128$ $64$ $9$
2.1.12.28c $2$ $12$ $1$ $12$ $28$ $[\frac{8}{3}, 3]$ $[\frac{5}{3}, 2]$ $\langle\frac{5}{6}, \frac{17}{12}\rangle$ $(5, 7)$ $x^{12} + 4 b_{23} x^{11} + 2 a_{10} x^{10} + 4 b_{21} x^9 + 4 c_{20} x^8 + 4 b_{19} x^7 + 4 b_{18} x^6 + 4 a_{17} x^5 + 4 b_{14} x^2 + 8 c_{24} + 2$ $4$ $96$ $32$ $12$
2.1.12.29a $2$ $12$ $1$ $12$ $29$ $[2, \frac{7}{2}]$ $[1, \frac{5}{2}]$ $\langle\frac{1}{2}, \frac{3}{2}\rangle$ $(3, 12)$ $x^{12} + 4 b_{23} x^{11} + 2 b_{10} x^{10} + 4 b_{21} x^9 + 4 b_{19} x^7 + (2 a_{6} + 8 c_{30}) x^6 + 8 b_{29} x^5 + 8 b_{27} x^3 + 8 b_{25} x + 4 c_{12} + 2$ $4$ $256$ $128$ $9$
2.1.12.30a $2$ $12$ $1$ $12$ $30$ $[\frac{8}{3}, \frac{10}{3}]$ $[\frac{5}{3}, \frac{7}{3}]$ $\langle\frac{5}{6}, \frac{19}{12}\rangle$ $(5, 9)$ $x^{12} + 4 b_{23} x^{11} + 2 a_{10} x^{10} + 4 b_{21} x^9 + 4 c_{20} x^8 + 4 a_{19} x^7 + 4 b_{18} x^6 + 8 c_{28} x^4 + 8 b_{27} x^3 + 4 b_{14} x^2 + 8 b_{25} x + 2$ $4$ $128$ $64$ $9$
2.1.12.30b $2$ $12$ $1$ $12$ $30$ $[3, \frac{19}{6}]$ $[2, \frac{13}{6}]$ $\langle1, \frac{19}{12}\rangle$ $(6, 7)$ $x^{12} + 4 b_{23} x^{11} + 4 b_{22} x^{10} + 4 b_{21} x^9 + 4 a_{19} x^7 + 4 b_{18} x^6 + (4 b_{14} + 8 c_{26}) x^2 + 8 b_{25} x + 8 c_{24} + 2$ $4$ $128$ $64$ $7$
2.1.12.32a $2$ $12$ $1$ $12$ $32$ $[\frac{8}{3}, \frac{11}{3}]$ $[\frac{5}{3}, \frac{8}{3}]$ $\langle\frac{5}{6}, \frac{7}{4}\rangle$ $(5, 11)$ $x^{12} + 4 b_{23} x^{11} + 2 a_{10} x^{10} + 4 a_{21} x^9 + (4 c_{20} + 8 c_{32}) x^8 + 8 b_{31} x^7 + 4 b_{18} x^6 + 8 b_{29} x^5 + 8 b_{27} x^3 + 4 b_{14} x^2 + 8 b_{25} x + 2$ $4$ $288$ $128$ $27$
2.1.12.32b $2$ $12$ $1$ $12$ $32$ $[3, \frac{7}{2}]$ $[2, \frac{5}{2}]$ $\langle1, \frac{7}{4}\rangle$ $(6, 9)$ $x^{12} + 4 b_{23} x^{11} + 4 b_{22} x^{10} + 4 a_{21} x^9 + (4 b_{18} + 8 c_{30}) x^6 + 8 b_{29} x^5 + 8 b_{27} x^3 + 4 b_{14} x^2 + 8 b_{25} x + 8 c_{24} + 2$ $4$ $256$ $128$ $9$
2.1.12.33a $2$ $12$ $1$ $12$ $33$ $[\frac{8}{3}, \frac{23}{6}]$ $[\frac{5}{3}, \frac{17}{6}]$ $\langle\frac{5}{6}, \frac{11}{6}\rangle$ $(5, 12)$ $x^{12} + 4 b_{23} x^{11} + (2 a_{10} + 8 c_{34}) x^{10} + 8 b_{33} x^9 + 4 c_{20} x^8 + 8 b_{31} x^7 + 4 b_{18} x^6 + 8 b_{29} x^5 + 8 b_{27} x^3 + 4 b_{14} x^2 + 8 b_{25} x + 2$ $4$ $512$ $256$ $10$
2.1.12.34a $2$ $12$ $1$ $12$ $34$ $[3, \frac{23}{6}]$ $[2, \frac{17}{6}]$ $\langle1, \frac{23}{12}\rangle$ $(6, 11)$ $x^{12} + 4 a_{23} x^{11} + (4 b_{22} + 8 c_{34}) x^{10} + 8 b_{33} x^9 + 8 b_{31} x^7 + 4 b_{18} x^6 + 8 b_{29} x^5 + 8 b_{27} x^3 + 4 b_{14} x^2 + 8 b_{25} x + 8 c_{24} + 2$ $4$ $512$ $256$ $10$
2.1.12.35a $2$ $12$ $1$ $12$ $35$ $[3, 4]$ $[2, 3]$ $\langle1, 2\rangle$ $(6, 12)$ $x^{12} + 8 b_{35} x^{11} + 4 b_{22} x^{10} + 8 b_{33} x^9 + 8 b_{31} x^7 + 4 b_{18} x^6 + 8 b_{29} x^5 + 8 b_{27} x^3 + 4 b_{14} x^2 + 8 b_{25} x + 8 c_{24} + 16 c_{36} + 2$ $4$ $1088$ $512$ $36$
  displayed columns for results