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Results (6 matches)

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Label $p$ $n$ $f$ $e$ $c$ Base Abs. Artin slopes Swan slopes Means Rams Generic poly Ambiguity Field count Mass
2.1.16.60l $2$ $16$ $1$ $16$ $60$ $\Q_{2}$ $[2, 3, 4, \frac{9}{2}]$ $[1, 2, 3, \frac{7}{2}]$ $\langle\frac{1}{2}, \frac{5}{4}, \frac{17}{8}, \frac{45}{16}\rangle$ $(1, 3, 7, 11)$ $x^{16} + 8 b_{47} x^{15} + 8 b_{46} x^{14} + 8 a_{45} x^{13} + 4 b_{28} x^{12} + 8 b_{42} x^{10} + (2 a_{8} + 16 c_{56}) x^8 + 16 b_{55} x^7 + 8 b_{38} x^6 + 16 b_{53} x^5 + 4 a_{20} x^4 + 16 b_{51} x^3 + 8 a_{34} x^2 + 16 b_{49} x + 4 c_{16} + 8 c_{32} + 16 c_{48} + 2$ $16$ $1024$ $512$
2.1.2.2a1.2-1.8.44d $2$ $8$ $1$ $8$ $44$ $\Q_{2}(\sqrt{-5})$ $[2, 3, 4, \frac{9}{2}]$ $[3, 5, 6]$ $\langle\frac{3}{2}, \frac{13}{4}, \frac{37}{8}\rangle$ $(3, 7, 11)$ $x^8 + (b_{47} \pi^6 + b_{39} \pi^5) x^7 + (b_{38} \pi^5 + b_{30} \pi^4) x^6 + (b_{45} \pi^6 + a_{37} \pi^5) x^5 + (b_{20} \pi^3 + a_{12} \pi^2) x^4 + b_{43} \pi^6 x^3 + (b_{34} \pi^5 + a_{26} \pi^4) x^2 + b_{41} \pi^6 x + c_{48} \pi^7 + c_{40} \pi^6 + c_{24} \pi^4 + \pi$ $8$ $512$ $512$
2.1.2.3a1.2-1.8.36g $2$ $8$ $1$ $8$ $36$ $\Q_{2}(\sqrt{-2\cdot 5})$ $[2, 3, 4, \frac{9}{2}]$ $[1, 4, 5]$ $\langle\frac{1}{2}, \frac{9}{4}, \frac{29}{8}\rangle$ $(1, 7, 11)$ $x^8 + (b_{39} \pi^5 + b_{31} \pi^4) x^7 + (b_{30} \pi^4 + b_{22} \pi^3) x^6 + (b_{37} \pi^5 + a_{29} \pi^4) x^5 + a_{4} \pi x^4 + b_{35} \pi^5 x^3 + (b_{26} \pi^4 + a_{18} \pi^3) x^2 + b_{33} \pi^5 x + c_{40} \pi^6 + c_{32} \pi^5 + c_{8} \pi^2 + \pi$ $8$ $256$ $256$
2.1.2.3a1.3-1.8.36g $2$ $8$ $1$ $8$ $36$ $\Q_{2}(\sqrt{2})$ $[2, 3, 4, \frac{9}{2}]$ $[1, 4, 5]$ $\langle\frac{1}{2}, \frac{9}{4}, \frac{29}{8}\rangle$ $(1, 7, 11)$ $x^8 + (b_{39} \pi^5 + b_{31} \pi^4) x^7 + (b_{30} \pi^4 + b_{22} \pi^3) x^6 + (b_{37} \pi^5 + a_{29} \pi^4) x^5 + a_{4} \pi x^4 + b_{35} \pi^5 x^3 + (b_{26} \pi^4 + a_{18} \pi^3) x^2 + b_{33} \pi^5 x + c_{40} \pi^6 + c_{32} \pi^5 + c_{8} \pi^2 + \pi$ $8$ $256$ $256$
2.1.4.8b1.6-1.4.28b $2$ $4$ $1$ $4$ $28$ 2.1.4.8b1.6 $[2, 3, 4, \frac{9}{2}]$ $[7, 9]$ $\langle\frac{7}{2}, \frac{25}{4}\rangle$ $(7, 11)$ $x^4 + (b_{35} \pi^9 + b_{31} \pi^8 + b_{27} \pi^7) x^3 + (b_{26} \pi^7 + b_{22} \pi^6 + b_{18} \pi^5 + a_{14} \pi^4) x^2 + (b_{33} \pi^9 + b_{29} \pi^8 + a_{25} \pi^7) x + c_{36} \pi^{10} + c_{28} \pi^8 + \pi$ $4$ $128$ $256$
2.1.8.24c1.56-1.2.12a $2$ $2$ $1$ $2$ $12$ 2.1.8.24c1.56 $[2, 3, 4, \frac{9}{2}]$ $[11]$ $\langle\frac{11}{2}\rangle$ $(11)$ $x^2 + (b_{21} \pi^{11} + b_{19} \pi^{10} + b_{17} \pi^9 + b_{15} \pi^8 + b_{13} \pi^7 + a_{11} \pi^6) x + c_{22} \pi^{12} + \pi$ $2$ $8$ $32$
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