Refine search


Results (40 matches)

  displayed columns for results
Label $p$ $n$ $f$ $e$ $c$ Base Abs. Artin slopes Swan slopes Means Rams Generic poly Ambiguity Field count Mass
7.2.2.2a1.2-2.1.0a $7$ $2$ $2$ $1$ $0$ $\Q_{7}(\zeta_{48}, \sqrt{7})$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $2$ $1$ $1$
7.2.2.2a1.2-1.2.1a $7$ $2$ $1$ $2$ $1$ $\Q_{7}(\zeta_{48}, \sqrt{7})$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + d_{0} \pi$ $2$ $2$ $1$
7.2.2.2a1.2-3.1.0a $7$ $3$ $3$ $1$ $0$ $\Q_{7}(\zeta_{48}, \sqrt{7})$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $3$ $1$ $1$
7.2.2.2a1.2-1.3.2a $7$ $3$ $1$ $3$ $2$ $\Q_{7}(\zeta_{48}, \sqrt{7})$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^3 + d_{0} \pi$ $3$ $3$ $1$
7.2.2.2a1.2-4.1.0a $7$ $4$ $4$ $1$ $0$ $\Q_{7}(\zeta_{48}, \sqrt{7})$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $4$ $1$ $1$
7.2.2.2a1.2-2.2.2a $7$ $4$ $2$ $2$ $2$ $\Q_{7}(\zeta_{48}, \sqrt{7})$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + d_{0} \pi$ $4$ $2$ $1$
7.2.2.2a1.2-1.4.3a $7$ $4$ $1$ $4$ $3$ $\Q_{7}(\zeta_{48}, \sqrt{7})$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^4 + d_{0} \pi$ $4$ $3$ $1$
7.2.2.2a1.2-5.1.0a $7$ $5$ $5$ $1$ $0$ $\Q_{7}(\zeta_{48}, \sqrt{7})$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $5$ $1$ $1$
7.2.2.2a1.2-1.5.4a $7$ $5$ $1$ $5$ $4$ $\Q_{7}(\zeta_{48}, \sqrt{7})$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + \pi$ $1$ $1$ $1$
7.2.2.2a1.2-6.1.0a $7$ $6$ $6$ $1$ $0$ $\Q_{7}(\zeta_{48}, \sqrt{7})$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $6$ $0$ $1$
7.2.2.2a1.2-3.2.3a $7$ $6$ $3$ $2$ $3$ $\Q_{7}(\zeta_{48}, \sqrt{7})$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + d_{0} \pi$ $6$ $0$ $1$
7.2.2.2a1.2-2.3.4a $7$ $6$ $2$ $3$ $4$ $\Q_{7}(\zeta_{48}, \sqrt{7})$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^3 + d_{0} \pi$ $6$ $0$ $1$
7.2.2.2a1.2-1.6.5a $7$ $6$ $1$ $6$ $5$ $\Q_{7}(\zeta_{48}, \sqrt{7})$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^6 + d_{0} \pi$ $6$ $0$ $1$
7.2.2.2a1.2-7.1.0a $7$ $7$ $7$ $1$ $0$ $\Q_{7}(\zeta_{48}, \sqrt{7})$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $7$ $0$ $1$
7.2.2.2a1.2-1.7.7a $7$ $7$ $1$ $7$ $7$ $\Q_{7}(\zeta_{48}, \sqrt{7})$ $[\frac{13}{12}]$ $[\frac{1}{6}]$ $\langle\frac{1}{7}\rangle$ $(\frac{1}{6})$ $x^7 + a_{1} \pi x + \pi$ $1$ $0$ $48$
7.2.2.2a1.2-1.7.8a $7$ $7$ $1$ $7$ $8$ $\Q_{7}(\zeta_{48}, \sqrt{7})$ $[\frac{7}{6}]$ $[\frac{1}{3}]$ $\langle\frac{2}{7}\rangle$ $(\frac{1}{3})$ $x^7 + a_{2} \pi x^2 + \pi$ $1$ $0$ $48$
7.2.2.2a1.2-1.7.9a $7$ $7$ $1$ $7$ $9$ $\Q_{7}(\zeta_{48}, \sqrt{7})$ $[\frac{5}{4}]$ $[\frac{1}{2}]$ $\langle\frac{3}{7}\rangle$ $(\frac{1}{2})$ $x^7 + a_{3} \pi x^3 + \pi$ $1$ $0$ $48$
7.2.2.2a1.2-1.7.10a $7$ $7$ $1$ $7$ $10$ $\Q_{7}(\zeta_{48}, \sqrt{7})$ $[\frac{4}{3}]$ $[\frac{2}{3}]$ $\langle\frac{4}{7}\rangle$ $(\frac{2}{3})$ $x^7 + a_{4} \pi x^4 + \pi$ $1$ $0$ $48$
7.2.2.2a1.2-1.7.11a $7$ $7$ $1$ $7$ $11$ $\Q_{7}(\zeta_{48}, \sqrt{7})$ $[\frac{17}{12}]$ $[\frac{5}{6}]$ $\langle\frac{5}{7}\rangle$ $(\frac{5}{6})$ $x^7 + a_{5} \pi x^5 + \pi$ $1$ $0$ $48$
7.2.2.2a1.2-1.7.12a $7$ $7$ $1$ $7$ $12$ $\Q_{7}(\zeta_{48}, \sqrt{7})$ $[\frac{3}{2}]$ $[1]$ $\langle\frac{6}{7}\rangle$ $(1)$ $x^7 + a_{6} \pi x^6 + c_{7} \pi^2 + \pi$ $7$ $0$ $48$
7.2.2.2a1.2-1.7.14a $7$ $7$ $1$ $7$ $14$ $\Q_{7}(\zeta_{48}, \sqrt{7})$ $[\frac{5}{3}]$ $[\frac{4}{3}]$ $\langle\frac{8}{7}\rangle$ $(\frac{4}{3})$ $x^7 + b_{9} \pi^2 x^2 + a_{8} \pi^2 x + \pi$ $1$ $0$ $2352$
7.2.2.2a1.2-1.7.15a $7$ $7$ $1$ $7$ $15$ $\Q_{7}(\zeta_{48}, \sqrt{7})$ $[\frac{7}{4}]$ $[\frac{3}{2}]$ $\langle\frac{9}{7}\rangle$ $(\frac{3}{2})$ $x^7 + b_{10} \pi^2 x^3 + a_{9} \pi^2 x^2 + \pi$ $1$ $0$ $2352$
7.2.2.2a1.2-1.7.16a $7$ $7$ $1$ $7$ $16$ $\Q_{7}(\zeta_{48}, \sqrt{7})$ $[\frac{11}{6}]$ $[\frac{5}{3}]$ $\langle\frac{10}{7}\rangle$ $(\frac{5}{3})$ $x^7 + b_{11} \pi^2 x^4 + a_{10} \pi^2 x^3 + \pi$ $1$ $0$ $2352$
7.2.2.2a1.2-1.7.17a $7$ $7$ $1$ $7$ $17$ $\Q_{7}(\zeta_{48}, \sqrt{7})$ $[\frac{23}{12}]$ $[\frac{11}{6}]$ $\langle\frac{11}{7}\rangle$ $(\frac{11}{6})$ $x^7 + b_{12} \pi^2 x^5 + a_{11} \pi^2 x^4 + \pi$ $1$ $0$ $2352$
7.2.2.2a1.2-1.7.18a $7$ $7$ $1$ $7$ $18$ $\Q_{7}(\zeta_{48}, \sqrt{7})$ $[2]$ $[2]$ $\langle\frac{12}{7}\rangle$ $(2)$ $x^7 + b_{13} \pi^2 x^6 + a_{12} \pi^2 x^5 + c_{14} \pi^3 + \pi$ $7$ $0$ $2352$
7.2.2.2a1.2-1.7.19a $7$ $7$ $1$ $7$ $19$ $\Q_{7}(\zeta_{48}, \sqrt{7})$ $[\frac{25}{12}]$ $[\frac{13}{6}]$ $\langle\frac{13}{7}\rangle$ $(\frac{13}{6})$ $x^7 + a_{13} \pi^2 x^6 + b_{15} \pi^3 x + \pi$ $1$ $0$ $2352$
7.2.2.2a1.2-1.7.20a $7$ $7$ $1$ $7$ $20$ $\Q_{7}(\zeta_{48}, \sqrt{7})$ $[\frac{13}{6}]$ $[\frac{7}{3}]$ $\langle2\rangle$ $(\frac{7}{3})$ $x^7 + b_{16} \pi^3 x^2 + b_{15} \pi^3 x + \pi$ $1$ $0$ $2401$
7.2.2.2a1.2-8.1.0a $7$ $8$ $8$ $1$ $0$ $\Q_{7}(\zeta_{48}, \sqrt{7})$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $8$ $0$ $1$
7.2.2.2a1.2-4.2.4a $7$ $8$ $4$ $2$ $4$ $\Q_{7}(\zeta_{48}, \sqrt{7})$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + d_{0} \pi$ $8$ $0$ $1$
7.2.2.2a1.2-2.4.6a $7$ $8$ $2$ $4$ $6$ $\Q_{7}(\zeta_{48}, \sqrt{7})$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^4 + d_{0} \pi$ $8$ $0$ $1$
7.2.2.2a1.2-1.8.7a $7$ $8$ $1$ $8$ $7$ $\Q_{7}(\zeta_{48}, \sqrt{7})$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^8 + d_{0} \pi$ $8$ $0$ $1$
7.2.2.2a1.2-9.1.0a $7$ $9$ $9$ $1$ $0$ $\Q_{7}(\zeta_{48}, \sqrt{7})$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $9$ $0$ $1$
7.2.2.2a1.2-3.3.6a $7$ $9$ $3$ $3$ $6$ $\Q_{7}(\zeta_{48}, \sqrt{7})$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^3 + d_{0} \pi$ $9$ $0$ $1$
7.2.2.2a1.2-1.9.8a $7$ $9$ $1$ $9$ $8$ $\Q_{7}(\zeta_{48}, \sqrt{7})$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^9 + d_{0} \pi$ $3$ $0$ $1$
7.2.2.2a1.2-10.1.0a $7$ $10$ $10$ $1$ $0$ $\Q_{7}(\zeta_{48}, \sqrt{7})$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $10$ $0$ $1$
7.2.2.2a1.2-5.2.5a $7$ $10$ $5$ $2$ $5$ $\Q_{7}(\zeta_{48}, \sqrt{7})$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + d_{0} \pi$ $10$ $0$ $1$
7.2.2.2a1.2-2.5.8a $7$ $10$ $2$ $5$ $8$ $\Q_{7}(\zeta_{48}, \sqrt{7})$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + d_{0} \pi$ $10$ $0$ $1$
7.2.2.2a1.2-1.10.9a $7$ $10$ $1$ $10$ $9$ $\Q_{7}(\zeta_{48}, \sqrt{7})$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^{10} + d_{0} \pi$ $2$ $0$ $1$
7.2.2.2a1.2-11.1.0a $7$ $11$ $11$ $1$ $0$ $\Q_{7}(\zeta_{48}, \sqrt{7})$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $11$ $0$ $1$
7.2.2.2a1.2-1.11.10a $7$ $11$ $1$ $11$ $10$ $\Q_{7}(\zeta_{48}, \sqrt{7})$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^{11} + \pi$ $1$ $0$ $1$
  displayed columns for results