Learn more about

Refine search

Results (displaying matches 1-50 of 212) Next

Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
490.2.a.a \(1\) \(3.913\) \(\Q\) None \(-1\) \(-2\) \(1\) \(0\) \(-\) \(q-q^{2}-2q^{3}+q^{4}+q^{5}+2q^{6}-q^{8}+\cdots\)
490.2.a.b \(1\) \(3.913\) \(\Q\) None \(-1\) \(-1\) \(1\) \(0\) \(+\) \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{8}+\cdots\)
490.2.a.c \(1\) \(3.913\) \(\Q\) None \(-1\) \(1\) \(-1\) \(0\) \(+\) \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{8}+\cdots\)
490.2.a.d \(1\) \(3.913\) \(\Q\) None \(-1\) \(2\) \(-1\) \(0\) \(-\) \(q-q^{2}+2q^{3}+q^{4}-q^{5}-2q^{6}-q^{8}+\cdots\)
490.2.a.e \(1\) \(3.913\) \(\Q\) None \(1\) \(-3\) \(1\) \(0\) \(-\) \(q+q^{2}-3q^{3}+q^{4}+q^{5}-3q^{6}+q^{8}+\cdots\)
490.2.a.f \(1\) \(3.913\) \(\Q\) None \(1\) \(-2\) \(-1\) \(0\) \(+\) \(q+q^{2}-2q^{3}+q^{4}-q^{5}-2q^{6}+q^{8}+\cdots\)
490.2.a.g \(1\) \(3.913\) \(\Q\) None \(1\) \(-2\) \(-1\) \(0\) \(-\) \(q+q^{2}-2q^{3}+q^{4}-q^{5}-2q^{6}+q^{8}+\cdots\)
490.2.a.h \(1\) \(3.913\) \(\Q\) None \(1\) \(0\) \(1\) \(0\) \(-\) \(q+q^{2}+q^{4}+q^{5}+q^{8}-3q^{9}+q^{10}+\cdots\)
490.2.a.i \(1\) \(3.913\) \(\Q\) None \(1\) \(2\) \(1\) \(0\) \(-\) \(q+q^{2}+2q^{3}+q^{4}+q^{5}+2q^{6}+q^{8}+\cdots\)
490.2.a.j \(1\) \(3.913\) \(\Q\) None \(1\) \(2\) \(1\) \(0\) \(-\) \(q+q^{2}+2q^{3}+q^{4}+q^{5}+2q^{6}+q^{8}+\cdots\)
490.2.a.k \(1\) \(3.913\) \(\Q\) None \(1\) \(3\) \(-1\) \(0\) \(-\) \(q+q^{2}+3q^{3}+q^{4}-q^{5}+3q^{6}+q^{8}+\cdots\)
490.2.a.l \(2\) \(3.913\) \(\Q(\sqrt{2}) \) None \(-2\) \(-4\) \(-2\) \(0\) \(+\) \(q-q^{2}+(-2+\beta )q^{3}+q^{4}-q^{5}+(2+\cdots)q^{6}+\cdots\)
490.2.a.m \(2\) \(3.913\) \(\Q(\sqrt{2}) \) None \(-2\) \(4\) \(2\) \(0\) \(-\) \(q-q^{2}+(2+\beta )q^{3}+q^{4}+q^{5}+(-2+\cdots)q^{6}+\cdots\)
490.2.c.a \(2\) \(3.913\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-4\) \(0\) \(q+iq^{2}-q^{4}+(-2-i)q^{5}-iq^{8}+\cdots\)
490.2.c.b \(2\) \(3.913\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-2\) \(0\) \(q+iq^{2}-3iq^{3}-q^{4}+(-1-2i)q^{5}+\cdots\)
490.2.c.c \(2\) \(3.913\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(2\) \(0\) \(q+iq^{2}+3iq^{3}-q^{4}+(1+2i)q^{5}+\cdots\)
490.2.c.d \(2\) \(3.913\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(4\) \(0\) \(q+iq^{2}-q^{4}+(2+i)q^{5}-iq^{8}+3q^{9}+\cdots\)
490.2.c.e \(4\) \(3.913\) \(\Q(i, \sqrt{6})\) None \(0\) \(0\) \(-4\) \(0\) \(q+\beta _{2}q^{2}+(\beta _{1}+\beta _{3})q^{3}-q^{4}+(-1+\cdots)q^{5}+\cdots\)
490.2.c.f \(4\) \(3.913\) \(\Q(\zeta_{8})\) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{8}^{2}q^{2}+(\zeta_{8}+\zeta_{8}^{3})q^{3}-q^{4}+(\zeta_{8}+\cdots)q^{5}+\cdots\)
490.2.c.g \(4\) \(3.913\) \(\Q(\zeta_{8})\) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}^{2}q^{2}-q^{4}+(2\zeta_{8}+\zeta_{8}^{3})q^{5}+\zeta_{8}^{2}q^{8}+\cdots\)
490.2.e.a \(2\) \(3.913\) \(\Q(\sqrt{-3}) \) None \(-1\) \(-2\) \(-1\) \(0\) \(q-\zeta_{6}q^{2}+(-2+2\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
490.2.e.b \(2\) \(3.913\) \(\Q(\sqrt{-3}) \) None \(-1\) \(-2\) \(-1\) \(0\) \(q-\zeta_{6}q^{2}+(-2+2\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
490.2.e.c \(2\) \(3.913\) \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(-1\) \(0\) \(q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}-\zeta_{6}q^{5}+q^{8}+\cdots\)
490.2.e.d \(2\) \(3.913\) \(\Q(\sqrt{-3}) \) None \(-1\) \(0\) \(1\) \(0\) \(q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}+\zeta_{6}q^{5}+q^{8}+\cdots\)
490.2.e.e \(2\) \(3.913\) \(\Q(\sqrt{-3}) \) None \(-1\) \(2\) \(1\) \(0\) \(q-\zeta_{6}q^{2}+(2-2\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
490.2.e.f \(2\) \(3.913\) \(\Q(\sqrt{-3}) \) None \(-1\) \(3\) \(-1\) \(0\) \(q-\zeta_{6}q^{2}+(3-3\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
490.2.e.g \(2\) \(3.913\) \(\Q(\sqrt{-3}) \) None \(1\) \(-2\) \(1\) \(0\) \(q+\zeta_{6}q^{2}+(-2+2\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
490.2.e.h \(2\) \(3.913\) \(\Q(\sqrt{-3}) \) None \(1\) \(1\) \(-1\) \(0\) \(q+\zeta_{6}q^{2}+(1-\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
490.2.e.i \(4\) \(3.913\) \(\Q(\sqrt{2}, \sqrt{-3})\) None \(2\) \(-4\) \(-2\) \(0\) \(q+(1+\beta _{2})q^{2}+(\beta _{1}+2\beta _{2}+\beta _{3})q^{3}+\cdots\)
490.2.e.j \(4\) \(3.913\) \(\Q(\sqrt{2}, \sqrt{-3})\) None \(2\) \(4\) \(2\) \(0\) \(q-\beta _{2}q^{2}+(2+\beta _{1}+2\beta _{2})q^{3}+(-1+\cdots)q^{4}+\cdots\)
490.2.g.a \(8\) \(3.913\) \(\Q(\zeta_{16})\) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{16}^{2}q^{2}+(-\zeta_{16}-\zeta_{16}^{3}-\zeta_{16}^{5}+\cdots)q^{3}+\cdots\)
490.2.g.b \(16\) \(3.913\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{9}q^{2}+(-\beta _{11}-\beta _{12}+\beta _{13})q^{3}+\cdots\)
490.2.g.c \(16\) \(3.913\) \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{5}q^{2}+(-\beta _{8}+\beta _{14})q^{3}-\beta _{9}q^{4}+\cdots\)
490.2.i.a \(4\) \(3.913\) \(\Q(\zeta_{12})\) None \(0\) \(0\) \(-4\) \(0\) \(q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+(-2+\zeta_{12}+\cdots)q^{5}+\cdots\)
490.2.i.b \(4\) \(3.913\) \(\Q(\zeta_{12})\) None \(0\) \(0\) \(2\) \(0\) \(q+\zeta_{12}q^{2}+(3\zeta_{12}-3\zeta_{12}^{3})q^{3}+\zeta_{12}^{2}q^{4}+\cdots\)
490.2.i.c \(8\) \(3.913\) \(\Q(\zeta_{24})\) None \(0\) \(0\) \(-4\) \(0\) \(q+(-\zeta_{24}+\zeta_{24}^{4})q^{2}+(-\zeta_{24}^{5}-\zeta_{24}^{6}+\cdots)q^{3}+\cdots\)
490.2.i.d \(8\) \(3.913\) \(\Q(\zeta_{24})\) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{2}q^{2}+\zeta_{24}^{4}q^{4}+(\zeta_{24}^{3}+2\zeta_{24}^{5}+\cdots)q^{5}+\cdots\)
490.2.i.e \(8\) \(3.913\) \(\Q(\zeta_{24})\) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{24}^{2}q^{2}+(-\zeta_{24}+\zeta_{24}^{7})q^{3}+\zeta_{24}^{4}q^{4}+\cdots\)
490.2.i.f \(8\) \(3.913\) \(\Q(\zeta_{24})\) None \(0\) \(0\) \(4\) \(0\) \(q+(-\zeta_{24}+\zeta_{24}^{4})q^{2}+(-\zeta_{24}^{5}-\zeta_{24}^{6}+\cdots)q^{3}+\cdots\)
490.2.k.a \(6\) \(3.913\) \(\Q(\zeta_{14})\) None \(-1\) \(0\) \(-1\) \(7\) \(q+(-1+\zeta_{14}-\zeta_{14}^{2}+\zeta_{14}^{3}-\zeta_{14}^{4}+\cdots)q^{2}+\cdots\)
490.2.k.b \(6\) \(3.913\) \(\Q(\zeta_{14})\) None \(1\) \(-1\) \(1\) \(-7\) \(q+(1-\zeta_{14}+\zeta_{14}^{2}-\zeta_{14}^{3}+\zeta_{14}^{4}+\cdots)q^{2}+\cdots\)
490.2.k.c \(6\) \(3.913\) \(\Q(\zeta_{14})\) None \(1\) \(6\) \(1\) \(7\) \(q+(1-\zeta_{14}+\zeta_{14}^{2}-\zeta_{14}^{3}+\zeta_{14}^{4}+\cdots)q^{2}+\cdots\)
490.2.k.d \(12\) \(3.913\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-2\) \(-4\) \(-2\) \(0\) \(q-\beta _{6}q^{2}+(-1-\beta _{3}-\beta _{4}-\beta _{7}-\beta _{10}+\cdots)q^{3}+\cdots\)
490.2.k.e \(12\) \(3.913\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(2\) \(-4\) \(2\) \(0\) \(q-\beta _{2}q^{2}+(\beta _{2}-\beta _{6})q^{3}+(-1+\beta _{1}+\cdots)q^{4}+\cdots\)
490.2.k.f \(24\) \(3.913\) None \(4\) \(6\) \(-4\) \(0\)
490.2.k.g \(30\) \(3.913\) None \(-5\) \(1\) \(5\) \(1\)
490.2.l.a \(16\) \(3.913\) \(\Q(\zeta_{48})\) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{48}^{10}q^{2}+(-\zeta_{48}^{5}-\zeta_{48}^{7}+\zeta_{48}^{15})q^{3}+\cdots\)
490.2.l.b \(16\) \(3.913\) \(\Q(\zeta_{48})\) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{48}^{14}q^{2}+(-\zeta_{48}-\zeta_{48}^{3}+\zeta_{48}^{7}+\cdots)q^{3}+\cdots\)
490.2.l.c \(16\) \(3.913\) \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None \(0\) \(0\) \(12\) \(0\) \(q+(-\beta _{7}-\beta _{15})q^{2}+(\beta _{4}-\beta _{13})q^{3}+\cdots\)
490.2.l.d \(32\) \(3.913\) None \(0\) \(0\) \(0\) \(0\)
Next

Download all search results for