Learn more

Refine search


Results (1-50 of 222 matches)

Next   displayed columns for results
Label $p$ $n$ $f$ $e$ $c$ Base Abs. Artin slopes Swan slopes Means Rams Generic poly Ambiguity Field count Mass
2.2.2.4a2.2-2.1.0a $2$ $2$ $2$ $1$ $0$ 2.2.2.4a2.2 $[2]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $2$ $1$ $1$
2.2.2.4a2.2-1.2.2a $2$ $2$ $1$ $2$ $2$ 2.2.2.4a2.2 $[2, 2]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $2$ $4$ $3$
2.2.2.4a2.2-1.2.4a $2$ $2$ $1$ $2$ $4$ 2.2.2.4a2.2 $[2, 3]$ $[3]$ $\langle\frac{3}{2}\rangle$ $(3)$ $x^2 + (b_{5} \pi^3 + a_{3} \pi^2) x + c_{6} \pi^4 + \pi$ $2$ $14$ $12$
2.2.2.4a2.2-1.2.5a $2$ $2$ $1$ $2$ $5$ 2.2.2.4a2.2 $[2, \frac{7}{2}]$ $[4]$ $\langle2\rangle$ $(4)$ $x^2 + (b_{7} \pi^4 + b_{5} \pi^3) x + c_{8} \pi^5 + \pi$ $2$ $16$ $16$
2.2.2.4a2.2-3.1.0a $2$ $3$ $3$ $1$ $0$ 2.2.2.4a2.2 $[2]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $3$ $1$ $1$
2.2.2.4a2.2-1.3.2a $2$ $3$ $1$ $3$ $2$ 2.2.2.4a2.2 $[2]$ $[ ]$ $\langle \rangle$ $( )$ $x^3 + d_{0} \pi$ $3$ $3$ $1$
2.2.2.4a2.2-4.1.0a $2$ $4$ $4$ $1$ $0$ 2.2.2.4a2.2 $[2]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $4$ $1$ $1$
2.2.2.4a2.2-2.2.4a $2$ $4$ $2$ $2$ $4$ 2.2.2.4a2.2 $[2, 2]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $4$ $14$ $15$
2.2.2.4a2.2-2.2.8a $2$ $4$ $2$ $2$ $8$ 2.2.2.4a2.2 $[2, 3]$ $[3]$ $\langle\frac{3}{2}\rangle$ $(3)$ $x^2 + (b_{5} \pi^3 + a_{3} \pi^2) x + c_{6} \pi^4 + \pi$ $4$ $144$ $240$
2.2.2.4a2.2-2.2.10a $2$ $4$ $2$ $2$ $10$ 2.2.2.4a2.2 $[2, \frac{7}{2}]$ $[4]$ $\langle2\rangle$ $(4)$ $x^2 + (b_{7} \pi^4 + b_{5} \pi^3) x + c_{8} \pi^5 + \pi$ $4$ $144$ $256$
2.2.2.4a2.2-1.4.4a $2$ $4$ $1$ $4$ $4$ 2.2.2.4a2.2 $[\frac{4}{3}, \frac{4}{3}, 2]$ $[\frac{1}{3}, \frac{1}{3}]$ $\langle\frac{1}{6}, \frac{1}{4}\rangle$ $(\frac{1}{3}, \frac{1}{3})$ $x^4 + a_{1} \pi x + \pi$ $1$ $3$ $3$
2.2.2.4a2.2-1.4.6a $2$ $4$ $1$ $4$ $6$ 2.2.2.4a2.2 $[2, 2, 2]$ $[1, 1]$ $\langle\frac{1}{2}, \frac{3}{4}\rangle$ $(1, 1)$ $x^4 + a_{3} \pi x^3 + b_{2} \pi x^2 + c_{4} \pi^2 + \pi$ $4$ $14$ $12$
2.2.2.4a2.2-1.4.8a $2$ $4$ $1$ $4$ $8$ 2.2.2.4a2.2 $[2, \frac{7}{3}, \frac{7}{3}]$ $[\frac{5}{3}, \frac{5}{3}]$ $\langle\frac{5}{6}, \frac{5}{4}\rangle$ $(\frac{5}{3}, \frac{5}{3})$ $x^4 + b_{6} \pi^2 x^2 + a_{5} \pi^2 x + \pi$ $1$ $6$ $12$
2.2.2.4a2.2-1.4.8b $2$ $4$ $1$ $4$ $8$ 2.2.2.4a2.2 $[2, 2, \frac{5}{2}]$ $[1, 2]$ $\langle\frac{1}{2}, \frac{5}{4}\rangle$ $(1, 3)$ $x^4 + b_{7} \pi^2 x^3 + a_{2} \pi x^2 + a_{5} \pi^2 x + c_{8} \pi^3 + c_{4} \pi^2 + \pi$ $4$ $43$ $36$
2.2.2.4a2.2-1.4.10a $2$ $4$ $1$ $4$ $10$ 2.2.2.4a2.2 $[2, \frac{8}{3}, \frac{8}{3}]$ $[\frac{7}{3}, \frac{7}{3}]$ $\langle\frac{7}{6}, \frac{7}{4}\rangle$ $(\frac{7}{3}, \frac{7}{3})$ $x^4 + a_{7} \pi^2 x^3 + b_{6} \pi^2 x^2 + b_{9} \pi^3 x + \pi$ $1$ $30$ $48$
2.2.2.4a2.2-1.4.10b $2$ $4$ $1$ $4$ $10$ 2.2.2.4a2.2 $[2, 2, 3]$ $[1, 3]$ $\langle\frac{1}{2}, \frac{7}{4}\rangle$ $(1, 5)$ $x^4 + (b_{11} \pi^3 + a_{7} \pi^2) x^3 + a_{2} \pi x^2 + b_{9} \pi^3 x + c_{12} \pi^4 + c_{4} \pi^2 + \pi$ $4$ $186$ $144$
2.2.2.4a2.2-1.4.12a $2$ $4$ $1$ $4$ $12$ 2.2.2.4a2.2 $[2, 3, 3]$ $[3, 3]$ $\langle\frac{3}{2}, \frac{9}{4}\rangle$ $(3, 3)$ $x^4 + b_{11} \pi^3 x^3 + (b_{10} \pi^3 + b_{6} \pi^2) x^2 + a_{9} \pi^3 x + c_{12} \pi^4 + \pi$ $4$ $176$ $192$
2.2.2.4a2.2-1.4.12b $2$ $4$ $1$ $4$ $12$ 2.2.2.4a2.2 $[2, 2, \frac{7}{2}]$ $[1, 4]$ $\langle\frac{1}{2}, \frac{9}{4}\rangle$ $(1, 7)$ $x^4 + (b_{15} \pi^4 + b_{11} \pi^3) x^3 + a_{2} \pi x^2 + (b_{13} \pi^4 + a_{9} \pi^3) x + c_{16} \pi^5 + c_{4} \pi^2 + \pi$ $4$ $602$ $576$
2.2.2.4a2.2-1.4.13a $2$ $4$ $1$ $4$ $13$ 2.2.2.4a2.2 $[2, 2, \frac{15}{4}]$ $[1, \frac{9}{2}]$ $\langle\frac{1}{2}, \frac{5}{2}\rangle$ $(1, 8)$ $x^4 + (b_{15} \pi^4 + b_{11} \pi^3) x^3 + (c_{18} \pi^5 + a_{2} \pi) x^2 + (b_{17} \pi^5 + b_{13} \pi^4) x + c_{4} \pi^2 + \pi$ $4$ $712$ $768$
2.2.2.4a2.2-1.4.14a $2$ $4$ $1$ $4$ $14$ 2.2.2.4a2.2 $[2, \frac{10}{3}, \frac{10}{3}]$ $[\frac{11}{3}, \frac{11}{3}]$ $\langle\frac{11}{6}, \frac{11}{4}\rangle$ $(\frac{11}{3}, \frac{11}{3})$ $x^4 + a_{11} \pi^3 x^3 + (b_{14} \pi^4 + b_{10} \pi^3) x^2 + b_{13} \pi^4 x + \pi$ $1$ $96$ $192$
2.2.2.4a2.2-1.4.14b $2$ $4$ $1$ $4$ $14$ 2.2.2.4a2.2 $[2, 3, \frac{7}{2}]$ $[3, 4]$ $\langle\frac{3}{2}, \frac{11}{4}\rangle$ $(3, 5)$ $x^4 + (b_{15} \pi^4 + a_{11} \pi^3) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + b_{13} \pi^4 x + c_{16} \pi^5 + c_{12} \pi^4 + \pi$ $4$ $720$ $576$
2.2.2.4a2.2-1.4.16a $2$ $4$ $1$ $4$ $16$ 2.2.2.4a2.2 $[2, 3, 4]$ $[3, 5]$ $\langle\frac{3}{2}, \frac{13}{4}\rangle$ $(3, 7)$ $x^4 + (b_{19} \pi^5 + b_{15} \pi^4) x^3 + (b_{10} \pi^3 + a_{6} \pi^2) x^2 + (b_{17} \pi^5 + a_{13} \pi^4) x + c_{20} \pi^6 + c_{12} \pi^4 + \pi$ $4$ $2432$ $2304$
2.2.2.4a2.2-1.4.16b $2$ $4$ $1$ $4$ $16$ 2.2.2.4a2.2 $[2, \frac{7}{2}, \frac{15}{4}]$ $[4, \frac{9}{2}]$ $\langle2, \frac{13}{4}\rangle$ $(4, 5)$ $x^4 + b_{15} \pi^4 x^3 + (c_{18} \pi^5 + b_{14} \pi^4 + b_{10} \pi^3) x^2 + (b_{17} \pi^5 + a_{13} \pi^4) x + c_{16} \pi^5 + \pi$ $4$ $768$ $768$
2.2.2.4a2.2-1.4.17a $2$ $4$ $1$ $4$ $17$ 2.2.2.4a2.2 $[2, 3, \frac{17}{4}]$ $[3, \frac{11}{2}]$ $\langle\frac{3}{2}, \frac{7}{2}\rangle$ $(3, 8)$ $x^4 + (b_{19} \pi^5 + b_{15} \pi^4) x^3 + (c_{22} \pi^6 + b_{10} \pi^3 + a_{6} \pi^2) x^2 + (b_{21} \pi^6 + b_{17} \pi^5) x + c_{12} \pi^4 + \pi$ $4$ $3072$ $3072$
2.2.2.4a2.2-1.4.18a $2$ $4$ $1$ $4$ $18$ 2.2.2.4a2.2 $[2, \frac{7}{2}, \frac{17}{4}]$ $[4, \frac{11}{2}]$ $\langle2, \frac{15}{4}\rangle$ $(4, 7)$ $x^4 + (b_{19} \pi^5 + a_{15} \pi^4) x^3 + (c_{22} \pi^6 + b_{14} \pi^4 + b_{10} \pi^3) x^2 + (b_{21} \pi^6 + b_{17} \pi^5) x + c_{16} \pi^5 + \pi$ $4$ $3072$ $3072$
2.2.2.4a2.2-1.4.19a $2$ $4$ $1$ $4$ $19$ 2.2.2.4a2.2 $[2, \frac{7}{2}, \frac{9}{2}]$ $[4, 6]$ $\langle2, 4\rangle$ $(4, 8)$ $x^4 + (b_{23} \pi^6 + b_{19} \pi^5) x^3 + (b_{14} \pi^4 + b_{10} \pi^3) x^2 + (b_{21} \pi^6 + b_{17} \pi^5) x + c_{24} \pi^7 + c_{16} \pi^5 + \pi$ $4$ $4224$ $4096$
2.2.2.4a2.2-5.1.0a $2$ $5$ $5$ $1$ $0$ 2.2.2.4a2.2 $[2]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $5$ $1$ $1$
2.2.2.4a2.2-1.5.4a $2$ $5$ $1$ $5$ $4$ 2.2.2.4a2.2 $[2]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + \pi$ $1$ $1$ $1$
2.2.2.4a2.2-6.1.0a $2$ $6$ $6$ $1$ $0$ 2.2.2.4a2.2 $[2]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $6$ $0$ $1$
2.2.2.4a2.2-3.2.6a $2$ $6$ $3$ $2$ $6$ 2.2.2.4a2.2 $[2, 2]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $6$ $0$ $63$
2.2.2.4a2.2-3.2.12a $2$ $6$ $3$ $2$ $12$ 2.2.2.4a2.2 $[2, 3]$ $[3]$ $\langle\frac{3}{2}\rangle$ $(3)$ $x^2 + (b_{5} \pi^3 + a_{3} \pi^2) x + c_{6} \pi^4 + \pi$ $6$ $0$ $4032$
2.2.2.4a2.2-3.2.15a $2$ $6$ $3$ $2$ $15$ 2.2.2.4a2.2 $[2, \frac{7}{2}]$ $[4]$ $\langle2\rangle$ $(4)$ $x^2 + (b_{7} \pi^4 + b_{5} \pi^3) x + c_{8} \pi^5 + \pi$ $6$ $0$ $4096$
2.2.2.4a2.2-2.3.4a $2$ $6$ $2$ $3$ $4$ 2.2.2.4a2.2 $[2]$ $[ ]$ $\langle \rangle$ $( )$ $x^3 + d_{0} \pi$ $6$ $0$ $1$
2.2.2.4a2.2-1.6.6a $2$ $6$ $1$ $6$ $6$ 2.2.2.4a2.2 $[\frac{4}{3}, 2]$ $[\frac{1}{3}]$ $\langle\frac{1}{6}\rangle$ $(1)$ $x^6 + c_{2} \pi x^2 + a_{1} \pi x + d_{0} \pi$ $6$ $0$ $3$
2.2.2.4a2.2-1.6.8a $2$ $6$ $1$ $6$ $8$ 2.2.2.4a2.2 $[2, 2]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(3)$ $x^6 + b_{5} \pi x^5 + a_{3} \pi x^3 + c_{6} \pi^2 + d_{0} \pi$ $6$ $0$ $12$
2.2.2.4a2.2-1.6.10a $2$ $6$ $1$ $6$ $10$ 2.2.2.4a2.2 $[2, \frac{7}{3}]$ $[\frac{5}{3}]$ $\langle\frac{5}{6}\rangle$ $(5)$ $x^6 + a_{5} \pi x^5 + c_{10} \pi^2 x^4 + b_{9} \pi^2 x^3 + b_{7} \pi^2 x + d_{0} \pi$ $6$ $0$ $48$
2.2.2.4a2.2-1.6.12a $2$ $6$ $1$ $6$ $12$ 2.2.2.4a2.2 $[2, \frac{8}{3}]$ $[\frac{7}{3}]$ $\langle\frac{7}{6}\rangle$ $(7)$ $x^6 + b_{11} \pi^2 x^5 + b_{9} \pi^2 x^3 + c_{14} \pi^3 x^2 + (b_{13} \pi^3 + a_{7} \pi^2) x + d_{0} \pi$ $6$ $0$ $192$
2.2.2.4a2.2-1.6.14a $2$ $6$ $1$ $6$ $14$ 2.2.2.4a2.2 $[2, 3]$ $[3]$ $\langle\frac{3}{2}\rangle$ $(9)$ $x^6 + (b_{17} \pi^3 + b_{11} \pi^2) x^5 + (b_{15} \pi^3 + a_{9} \pi^2) x^3 + b_{13} \pi^3 x + c_{18} \pi^4 + d_{0} \pi$ $6$ $0$ $768$
2.2.2.4a2.2-1.6.16a $2$ $6$ $1$ $6$ $16$ 2.2.2.4a2.2 $[2, \frac{10}{3}]$ $[\frac{11}{3}]$ $\langle\frac{11}{6}\rangle$ $(11)$ $x^6 + (b_{17} \pi^3 + a_{11} \pi^2) x^5 + c_{22} \pi^4 x^4 + (b_{21} \pi^4 + b_{15} \pi^3) x^3 + (b_{19} \pi^4 + b_{13} \pi^3) x + d_{0} \pi$ $6$ $0$ $3072$
2.2.2.4a2.2-1.6.17a $2$ $6$ $1$ $6$ $17$ 2.2.2.4a2.2 $[2, \frac{7}{2}]$ $[4]$ $\langle2\rangle$ $(12)$ $x^6 + (b_{23} \pi^4 + b_{17} \pi^3) x^5 + (b_{21} \pi^4 + b_{15} \pi^3) x^3 + (b_{19} \pi^4 + b_{13} \pi^3) x + c_{24} \pi^5 + d_{0} \pi$ $6$ $0$ $4096$
2.2.2.4a2.2-7.1.0a $2$ $7$ $7$ $1$ $0$ 2.2.2.4a2.2 $[2]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $7$ $0$ $1$
2.2.2.4a2.2-1.7.6a $2$ $7$ $1$ $7$ $6$ 2.2.2.4a2.2 $[2]$ $[ ]$ $\langle \rangle$ $( )$ $x^7 + \pi$ $1$ $0$ $1$
2.2.2.4a2.2-8.1.0a $2$ $8$ $8$ $1$ $0$ 2.2.2.4a2.2 $[2]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $8$ $0$ $1$
2.2.2.4a2.2-4.2.8a $2$ $8$ $4$ $2$ $8$ 2.2.2.4a2.2 $[2, 2]$ $[1]$ $\langle\frac{1}{2}\rangle$ $(1)$ $x^2 + a_{1} \pi x + c_{2} \pi^2 + \pi$ $8$ $0$ $255$
2.2.2.4a2.2-4.2.16a $2$ $8$ $4$ $2$ $16$ 2.2.2.4a2.2 $[2, 3]$ $[3]$ $\langle\frac{3}{2}\rangle$ $(3)$ $x^2 + (b_{5} \pi^3 + a_{3} \pi^2) x + c_{6} \pi^4 + \pi$ $8$ $0$ $65280$
2.2.2.4a2.2-4.2.20a $2$ $8$ $4$ $2$ $20$ 2.2.2.4a2.2 $[2, \frac{7}{2}]$ $[4]$ $\langle2\rangle$ $(4)$ $x^2 + (b_{7} \pi^4 + b_{5} \pi^3) x + c_{8} \pi^5 + \pi$ $8$ $0$ $65536$
2.2.2.4a2.2-2.4.8a $2$ $8$ $2$ $4$ $8$ 2.2.2.4a2.2 $[\frac{4}{3}, \frac{4}{3}, 2]$ $[\frac{1}{3}, \frac{1}{3}]$ $\langle\frac{1}{6}, \frac{1}{4}\rangle$ $(\frac{1}{3}, \frac{1}{3})$ $x^4 + a_{1} \pi x + \pi$ $2$ $0$ $15$
2.2.2.4a2.2-2.4.12a $2$ $8$ $2$ $4$ $12$ 2.2.2.4a2.2 $[2, 2, 2]$ $[1, 1]$ $\langle\frac{1}{2}, \frac{3}{4}\rangle$ $(1, 1)$ $x^4 + a_{3} \pi x^3 + b_{2} \pi x^2 + c_{4} \pi^2 + \pi$ $8$ $0$ $240$
2.2.2.4a2.2-2.4.16a $2$ $8$ $2$ $4$ $16$ 2.2.2.4a2.2 $[2, \frac{7}{3}, \frac{7}{3}]$ $[\frac{5}{3}, \frac{5}{3}]$ $\langle\frac{5}{6}, \frac{5}{4}\rangle$ $(\frac{5}{3}, \frac{5}{3})$ $x^4 + b_{6} \pi^2 x^2 + a_{5} \pi^2 x + \pi$ $2$ $0$ $240$
2.2.2.4a2.2-2.4.16b $2$ $8$ $2$ $4$ $16$ 2.2.2.4a2.2 $[2, 2, \frac{5}{2}]$ $[1, 2]$ $\langle\frac{1}{2}, \frac{5}{4}\rangle$ $(1, 3)$ $x^4 + b_{7} \pi^2 x^3 + a_{2} \pi x^2 + a_{5} \pi^2 x + c_{8} \pi^3 + c_{4} \pi^2 + \pi$ $8$ $0$ $3600$
Next   displayed columns for results