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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
245.2.a.a \(1\) \(1.956\) \(\Q\) None \(-2\) \(-3\) \(1\) \(0\) \(+\) \(q-2q^{2}-3q^{3}+2q^{4}+q^{5}+6q^{6}+\cdots\)
245.2.a.b \(1\) \(1.956\) \(\Q\) None \(-2\) \(3\) \(-1\) \(0\) \(-\) \(q-2q^{2}+3q^{3}+2q^{4}-q^{5}-6q^{6}+\cdots\)
245.2.a.c \(1\) \(1.956\) \(\Q\) None \(0\) \(-1\) \(1\) \(0\) \(+\) \(q-q^{3}-2q^{4}+q^{5}-2q^{9}-3q^{11}+\cdots\)
245.2.a.d \(2\) \(1.956\) \(\Q(\sqrt{17}) \) None \(-1\) \(1\) \(-2\) \(0\) \(-\) \(q-\beta q^{2}+(1-\beta )q^{3}+(2+\beta )q^{4}-q^{5}+\cdots\)
245.2.a.e \(2\) \(1.956\) \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(-2\) \(0\) \(+\) \(q+\beta q^{2}+(-1-\beta )q^{3}-q^{5}+(-2-\beta )q^{6}+\cdots\)
245.2.a.f \(2\) \(1.956\) \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(2\) \(0\) \(-\) \(q+\beta q^{2}+(1+\beta )q^{3}+q^{5}+(2+\beta )q^{6}+\cdots\)
245.2.a.g \(2\) \(1.956\) \(\Q(\sqrt{2}) \) None \(2\) \(-2\) \(-2\) \(0\) \(-\) \(q+(1+\beta )q^{2}+(-1+\beta )q^{3}+(1+2\beta )q^{4}+\cdots\)
245.2.a.h \(2\) \(1.956\) \(\Q(\sqrt{2}) \) None \(2\) \(2\) \(2\) \(0\) \(-\) \(q+(1+\beta )q^{2}+(1-\beta )q^{3}+(1+2\beta )q^{4}+\cdots\)
245.2.b.a \(2\) \(1.956\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(4\) \(0\) \(q+2iq^{2}+iq^{3}-2q^{4}+(2+i)q^{5}+\cdots\)
245.2.b.b \(2\) \(1.956\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-2\) \(0\) \(q+iq^{2}-iq^{3}+q^{4}+(-1+2i)q^{5}+\cdots\)
245.2.b.c \(2\) \(1.956\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(2\) \(0\) \(q+iq^{2}+iq^{3}+q^{4}+(1-2i)q^{5}-q^{6}+\cdots\)
245.2.b.d \(2\) \(1.956\) \(\Q(\sqrt{-5}) \) \(\Q(\sqrt{-35}) \) \(0\) \(0\) \(0\) \(0\) \(q+\beta q^{3}+2q^{4}+\beta q^{5}-2q^{9}-3q^{11}+\cdots\)
245.2.b.e \(4\) \(1.956\) \(\Q(\sqrt{2}, \sqrt{-3})\) None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{3}q^{2}+\beta _{2}q^{3}-4q^{4}+(-\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots\)
245.2.b.f \(4\) \(1.956\) \(\Q(\zeta_{8})\) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{8}^{2}q^{2}+(2\zeta_{8}+2\zeta_{8}^{3})q^{3}+q^{4}+\cdots\)
245.2.e.a \(2\) \(1.956\) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(1\) \(0\) \(q+(-1+\zeta_{6})q^{3}+(2-2\zeta_{6})q^{4}+\zeta_{6}q^{5}+\cdots\)
245.2.e.b \(2\) \(1.956\) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(-1\) \(0\) \(q+(1-\zeta_{6})q^{3}+(2-2\zeta_{6})q^{4}-\zeta_{6}q^{5}+\cdots\)
245.2.e.c \(2\) \(1.956\) \(\Q(\sqrt{-3}) \) None \(2\) \(-3\) \(1\) \(0\) \(q+2\zeta_{6}q^{2}+(-3+3\zeta_{6})q^{3}+(-2+2\zeta_{6})q^{4}+\cdots\)
245.2.e.d \(2\) \(1.956\) \(\Q(\sqrt{-3}) \) None \(2\) \(3\) \(-1\) \(0\) \(q+2\zeta_{6}q^{2}+(3-3\zeta_{6})q^{3}+(-2+2\zeta_{6})q^{4}+\cdots\)
245.2.e.e \(4\) \(1.956\) \(\Q(\sqrt{2}, \sqrt{-3})\) None \(-2\) \(2\) \(2\) \(0\) \(q+(-1+\beta _{1}-\beta _{2})q^{2}+(-\beta _{1}-\beta _{2}+\cdots)q^{3}+\cdots\)
245.2.e.f \(4\) \(1.956\) \(\Q(\sqrt{2}, \sqrt{-3})\) None \(0\) \(-2\) \(-2\) \(0\) \(q+\beta _{1}q^{2}+(-\beta _{1}+\beta _{2}-\beta _{3})q^{3}+(-1+\cdots)q^{5}+\cdots\)
245.2.e.g \(4\) \(1.956\) \(\Q(\sqrt{2}, \sqrt{-3})\) None \(0\) \(2\) \(2\) \(0\) \(q+\beta _{1}q^{2}+(\beta _{1}-\beta _{2}+\beta _{3})q^{3}+(1+\beta _{2}+\cdots)q^{5}+\cdots\)
245.2.e.h \(4\) \(1.956\) \(\Q(\sqrt{-3}, \sqrt{17})\) None \(1\) \(-1\) \(2\) \(0\) \(q+\beta _{1}q^{2}+(-1-\beta _{1}+\beta _{2}-\beta _{3})q^{3}+\cdots\)
245.2.e.i \(4\) \(1.956\) \(\Q(\sqrt{-3}, \sqrt{17})\) None \(1\) \(1\) \(-2\) \(0\) \(q+\beta _{1}q^{2}+(1+\beta _{1}-\beta _{2}+\beta _{3})q^{3}+(-2+\cdots)q^{4}+\cdots\)
245.2.f.a \(4\) \(1.956\) \(\Q(\zeta_{12})\) None \(2\) \(-2\) \(8\) \(0\) \(q+(1-\zeta_{12}+\zeta_{12}^{2})q^{2}+(-1+\zeta_{12}+\cdots)q^{3}+\cdots\)
245.2.f.b \(4\) \(1.956\) \(\Q(\zeta_{12})\) None \(2\) \(2\) \(-8\) \(0\) \(q+(1-\zeta_{12}+\zeta_{12}^{2})q^{2}+(1-\zeta_{12}+\zeta_{12}^{2}+\cdots)q^{3}+\cdots\)
245.2.f.c \(24\) \(1.956\) None \(0\) \(0\) \(0\) \(0\)
245.2.j.a \(4\) \(1.956\) \(\Q(\sqrt{2}, \sqrt{-3})\) None \(0\) \(-6\) \(6\) \(0\) \(q+(\beta _{1}-\beta _{3})q^{2}+(-1+\beta _{2})q^{3}+(4+4\beta _{2}+\cdots)q^{4}+\cdots\)
245.2.j.b \(4\) \(1.956\) \(\Q(\sqrt{-3}, \sqrt{-5})\) \(\Q(\sqrt{-35}) \) \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{3}+(-2+2\beta _{2})q^{4}+(-\beta _{1}+\beta _{3})q^{5}+\cdots\)
245.2.j.c \(4\) \(1.956\) \(\Q(\zeta_{12})\) None \(0\) \(0\) \(2\) \(0\) \(q+\zeta_{12}q^{2}+(\zeta_{12}-\zeta_{12}^{3})q^{3}-\zeta_{12}^{2}q^{4}+\cdots\)
245.2.j.d \(4\) \(1.956\) \(\Q(\zeta_{12})\) None \(0\) \(0\) \(-4\) \(0\) \(q+2\zeta_{12}q^{2}+(-\zeta_{12}+\zeta_{12}^{3})q^{3}+2\zeta_{12}^{2}q^{4}+\cdots\)
245.2.j.e \(4\) \(1.956\) \(\Q(\zeta_{12})\) None \(0\) \(0\) \(4\) \(0\) \(q+2\zeta_{12}q^{2}+(\zeta_{12}-\zeta_{12}^{3})q^{3}+2\zeta_{12}^{2}q^{4}+\cdots\)
245.2.j.f \(4\) \(1.956\) \(\Q(\sqrt{2}, \sqrt{-3})\) None \(0\) \(6\) \(-6\) \(0\) \(q+(\beta _{1}-\beta _{3})q^{2}+(1-\beta _{2})q^{3}+(4+4\beta _{2}+\cdots)q^{4}+\cdots\)
245.2.j.g \(8\) \(1.956\) \(\Q(\zeta_{24})\) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{24}^{2}-\zeta_{24}^{6})q^{2}+(2\zeta_{24}^{3}+2\zeta_{24}^{5}+\cdots)q^{3}+\cdots\)
245.2.k.a \(54\) \(1.956\) None \(1\) \(-2\) \(9\) \(-1\)
245.2.k.b \(66\) \(1.956\) None \(-1\) \(-2\) \(-11\) \(-5\)
245.2.l.a \(4\) \(1.956\) \(\Q(\zeta_{12})\) None \(-4\) \(2\) \(4\) \(0\) \(q+(-1+\zeta_{12})q^{2}+(\zeta_{12}^{2}-\zeta_{12}^{3})q^{3}+\cdots\)
245.2.l.b \(4\) \(1.956\) \(\Q(\zeta_{12})\) None \(2\) \(4\) \(-4\) \(0\) \(q+(1-\zeta_{12}^{2}-\zeta_{12}^{3})q^{2}+(1+\zeta_{12}+\cdots)q^{3}+\cdots\)
245.2.l.c \(8\) \(1.956\) 8.0.3317760000.2 None \(4\) \(0\) \(0\) \(0\) \(q+(1-\beta _{2}-\beta _{4})q^{2}+\beta _{1}q^{3}+\beta _{5}q^{5}+\cdots\)
245.2.l.d \(48\) \(1.956\) None \(0\) \(0\) \(0\) \(0\)
245.2.p.a \(12\) \(1.956\) \(\Q(\zeta_{28})\) None \(0\) \(0\) \(-2\) \(0\) \(q-\zeta_{28}^{9}q^{2}+(-2\zeta_{28}^{3}+\zeta_{28}^{5}-\zeta_{28}^{7}+\cdots)q^{3}+\cdots\)
245.2.p.b \(144\) \(1.956\) None \(0\) \(0\) \(-1\) \(0\)
245.2.q.a \(96\) \(1.956\) None \(-1\) \(1\) \(-8\) \(0\)
245.2.q.b \(120\) \(1.956\) None \(1\) \(1\) \(10\) \(-2\)
245.2.s.a \(312\) \(1.956\) None \(-10\) \(-14\) \(-14\) \(-18\)
245.2.t.a \(312\) \(1.956\) None \(0\) \(0\) \(-12\) \(0\)
245.2.x.a \(624\) \(1.956\) None \(-26\) \(-22\) \(-28\) \(-18\)
245.3.c.a \(12\) \(6.676\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{3}q^{2}+\beta _{9}q^{3}+(-1+\beta _{1})q^{4}+(-\beta _{5}+\cdots)q^{5}+\cdots\)
245.3.c.b \(24\) \(6.676\) None \(0\) \(0\) \(0\) \(0\)
245.3.d.a \(12\) \(6.676\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(4\) \(0\) \(0\) \(0\) \(q-\beta _{1}q^{2}-\beta _{11}q^{3}+(2-\beta _{5}+\beta _{6})q^{4}+\cdots\)
245.3.d.b \(16\) \(6.676\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(-8\) \(0\) \(0\) \(0\) \(q+(-1+\beta _{2})q^{2}+\beta _{6}q^{3}+(3-\beta _{1})q^{4}+\cdots\)
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