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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
96.2.a.a \(1\) \(0.767\) \(\Q\) None \(0\) \(-1\) \(2\) \(4\) \(-\) \(q-q^{3}+2q^{5}+4q^{7}+q^{9}-4q^{11}+\cdots\)
96.2.a.b \(1\) \(0.767\) \(\Q\) None \(0\) \(1\) \(2\) \(-4\) \(-\) \(q+q^{3}+2q^{5}-4q^{7}+q^{9}+4q^{11}+\cdots\)
96.2.c.a \(4\) \(0.767\) \(\Q(\zeta_{8})\) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}q^{3}+\zeta_{8}^{3}q^{5}+(-\zeta_{8}+\zeta_{8}^{2})q^{7}+\cdots\)
96.2.d.a \(2\) \(0.767\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(4\) \(q+iq^{3}+2iq^{5}+2q^{7}-q^{9}-4iq^{13}+\cdots\)
96.2.f.a \(2\) \(0.767\) \(\Q(\sqrt{-2}) \) \(\Q(\sqrt{-2}) \) \(0\) \(2\) \(0\) \(0\) \(q+(1+\beta )q^{3}+(-1+2\beta )q^{9}-2\beta q^{11}+\cdots\)
96.2.n.a \(32\) \(0.767\) None \(0\) \(0\) \(0\) \(0\)
96.2.o.a \(56\) \(0.767\) None \(0\) \(-4\) \(0\) \(-8\)
96.3.b.a \(4\) \(2.616\) 4.0.4752.1 None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{1}q^{3}-\beta _{2}q^{5}+(-\beta _{2}-\beta _{3})q^{7}+\cdots\)
96.3.e.a \(4\) \(2.616\) \(\Q(\sqrt{-2}, \sqrt{3})\) None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{3}+\beta _{2}q^{5}+(2\beta _{1}-\beta _{3})q^{7}+(-3+\cdots)q^{9}+\cdots\)
96.3.e.b \(4\) \(2.616\) \(\Q(\sqrt{-2}, \sqrt{7})\) None \(0\) \(0\) \(0\) \(0\) \(q+(\beta _{1}+\beta _{3})q^{3}-\beta _{2}q^{5}+(-\beta _{1}-2\beta _{3})q^{7}+\cdots\)
96.3.g.a \(4\) \(2.616\) \(\Q(\zeta_{12})\) None \(0\) \(0\) \(-8\) \(0\) \(q+\zeta_{12}^{2}q^{3}+(-2-\zeta_{12}^{3})q^{5}+(\zeta_{12}+\cdots)q^{7}+\cdots\)
96.3.h.a \(1\) \(2.616\) \(\Q\) \(\Q(\sqrt{-6}) \) \(0\) \(-3\) \(2\) \(10\) \(q-3q^{3}+2q^{5}+10q^{7}+9q^{9}+10q^{11}+\cdots\)
96.3.h.b \(1\) \(2.616\) \(\Q\) \(\Q(\sqrt{-6}) \) \(0\) \(3\) \(-2\) \(10\) \(q+3q^{3}-2q^{5}+10q^{7}+9q^{9}-10q^{11}+\cdots\)
96.3.h.c \(4\) \(2.616\) \(\Q(\sqrt{2}, \sqrt{-7})\) None \(0\) \(0\) \(0\) \(-16\) \(q+(-\beta _{1}-\beta _{2})q^{3}-2\beta _{1}q^{5}-4q^{7}+\cdots\)
96.3.m.a \(64\) \(2.616\) None \(0\) \(0\) \(0\) \(0\)
96.3.p.a \(120\) \(2.616\) None \(0\) \(-4\) \(0\) \(-8\)
96.4.a.a \(1\) \(5.664\) \(\Q\) None \(0\) \(-3\) \(-14\) \(36\) \(+\) \(q-3q^{3}-14q^{5}+6^{2}q^{7}+9q^{9}+6^{2}q^{11}+\cdots\)
96.4.a.b \(1\) \(5.664\) \(\Q\) None \(0\) \(-3\) \(2\) \(-12\) \(-\) \(q-3q^{3}+2q^{5}-12q^{7}+9q^{9}-60q^{11}+\cdots\)
96.4.a.c \(1\) \(5.664\) \(\Q\) None \(0\) \(-3\) \(10\) \(-4\) \(+\) \(q-3q^{3}+10q^{5}-4q^{7}+9q^{9}+20q^{11}+\cdots\)
96.4.a.d \(1\) \(5.664\) \(\Q\) None \(0\) \(3\) \(-14\) \(-36\) \(-\) \(q+3q^{3}-14q^{5}-6^{2}q^{7}+9q^{9}-6^{2}q^{11}+\cdots\)
96.4.a.e \(1\) \(5.664\) \(\Q\) None \(0\) \(3\) \(2\) \(12\) \(+\) \(q+3q^{3}+2q^{5}+12q^{7}+9q^{9}+60q^{11}+\cdots\)
96.4.a.f \(1\) \(5.664\) \(\Q\) None \(0\) \(3\) \(10\) \(4\) \(+\) \(q+3q^{3}+10q^{5}+4q^{7}+9q^{9}-20q^{11}+\cdots\)
96.4.c.a \(12\) \(5.664\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{4}q^{3}-\beta _{8}q^{5}-\beta _{1}q^{7}+(-2+\beta _{5}+\cdots)q^{9}+\cdots\)
96.4.d.a \(6\) \(5.664\) 6.0.8248384.1 None \(0\) \(0\) \(0\) \(-28\) \(q+\beta _{2}q^{3}+(-\beta _{2}+\beta _{3})q^{5}+(-5+\beta _{1}+\cdots)q^{7}+\cdots\)
96.4.f.a \(2\) \(5.664\) \(\Q(\sqrt{-2}) \) \(\Q(\sqrt{-2}) \) \(0\) \(-10\) \(0\) \(0\) \(q+(-5+\beta )q^{3}+(23-10\beta )q^{9}-50\beta q^{11}+\cdots\)
96.4.f.b \(8\) \(5.664\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(12\) \(0\) \(0\) \(q+(1+\beta _{2})q^{3}+\beta _{4}q^{5}-\beta _{6}q^{7}+(-9+\cdots)q^{9}+\cdots\)
96.4.n.a \(96\) \(5.664\) None \(0\) \(0\) \(0\) \(0\)
96.4.o.a \(184\) \(5.664\) None \(0\) \(-4\) \(0\) \(-8\)
96.5.b.a \(8\) \(9.924\) \(\mathbb{Q}[x]/(x^{8} + \cdots)\) None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{1}q^{3}+\beta _{2}q^{5}+(-\beta _{2}+\beta _{4}-\beta _{5}+\cdots)q^{7}+\cdots\)
96.5.e.a \(8\) \(9.924\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{3}+\beta _{2}q^{5}-\beta _{3}q^{7}+(-11-2\beta _{2}+\cdots)q^{9}+\cdots\)
96.5.e.b \(8\) \(9.924\) 8.0.3317760000.8 None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{1}q^{3}+\beta _{2}q^{5}+(\beta _{1}+\beta _{4})q^{7}+(-3+\cdots)q^{9}+\cdots\)
96.5.g.a \(4\) \(9.924\) \(\Q(\zeta_{12})\) None \(0\) \(0\) \(-40\) \(0\) \(q+3\zeta_{12}^{2}q^{3}+(-10-\zeta_{12}^{3})q^{5}+(11\zeta_{12}+\cdots)q^{7}+\cdots\)
96.5.g.b \(4\) \(9.924\) \(\Q(\zeta_{12})\) None \(0\) \(0\) \(88\) \(0\) \(q-\zeta_{12}^{2}q^{3}+(22-\zeta_{12}^{3})q^{5}+(-\zeta_{12}+\cdots)q^{7}+\cdots\)
96.5.h.a \(1\) \(9.924\) \(\Q\) \(\Q(\sqrt{-6}) \) \(0\) \(-9\) \(-46\) \(-2\) \(q-9q^{3}-46q^{5}-2q^{7}+3^{4}q^{9}+142q^{11}+\cdots\)
96.5.h.b \(1\) \(9.924\) \(\Q\) \(\Q(\sqrt{-6}) \) \(0\) \(9\) \(46\) \(-2\) \(q+9q^{3}+46q^{5}-2q^{7}+3^{4}q^{9}-142q^{11}+\cdots\)
96.5.h.c \(12\) \(9.924\) \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None \(0\) \(0\) \(0\) \(8\) \(q-\beta _{1}q^{3}+(\beta _{1}-\beta _{3})q^{5}+(1-\beta _{4})q^{7}+\cdots\)
96.5.m.a \(128\) \(9.924\) None \(0\) \(0\) \(0\) \(0\)
96.5.p.a \(248\) \(9.924\) None \(0\) \(-4\) \(0\) \(-8\)
96.6.a.a \(1\) \(15.397\) \(\Q\) None \(0\) \(-9\) \(-86\) \(-180\) \(-\) \(q-9q^{3}-86q^{5}-180q^{7}+3^{4}q^{9}+\cdots\)
96.6.a.b \(1\) \(15.397\) \(\Q\) None \(0\) \(-9\) \(-14\) \(100\) \(+\) \(q-9q^{3}-14q^{5}+10^{2}q^{7}+3^{4}q^{9}+\cdots\)
96.6.a.c \(1\) \(15.397\) \(\Q\) None \(0\) \(-9\) \(26\) \(-36\) \(+\) \(q-9q^{3}+26q^{5}-6^{2}q^{7}+3^{4}q^{9}-180q^{11}+\cdots\)
96.6.a.d \(1\) \(15.397\) \(\Q\) None \(0\) \(9\) \(-86\) \(180\) \(+\) \(q+9q^{3}-86q^{5}+180q^{7}+3^{4}q^{9}+\cdots\)
96.6.a.e \(1\) \(15.397\) \(\Q\) None \(0\) \(9\) \(-14\) \(-100\) \(+\) \(q+9q^{3}-14q^{5}-10^{2}q^{7}+3^{4}q^{9}+\cdots\)
96.6.a.f \(1\) \(15.397\) \(\Q\) None \(0\) \(9\) \(26\) \(36\) \(-\) \(q+9q^{3}+26q^{5}+6^{2}q^{7}+3^{4}q^{9}+180q^{11}+\cdots\)
96.6.a.g \(2\) \(15.397\) \(\Q(\sqrt{31}) \) None \(0\) \(-18\) \(36\) \(-120\) \(-\) \(q-9q^{3}+(18+\beta )q^{5}+(-60-\beta )q^{7}+\cdots\)
96.6.a.h \(2\) \(15.397\) \(\Q(\sqrt{31}) \) None \(0\) \(18\) \(36\) \(120\) \(-\) \(q+9q^{3}+(18+\beta )q^{5}+(60+\beta )q^{7}+3^{4}q^{9}+\cdots\)
96.6.c.a \(20\) \(15.397\) \(\mathbb{Q}[x]/(x^{20} + \cdots)\) None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{3}q^{3}+\beta _{6}q^{5}+\beta _{2}q^{7}+(-2-\beta _{7}+\cdots)q^{9}+\cdots\)
96.6.d.a \(10\) \(15.397\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(0\) \(0\) \(0\) \(196\) \(q-\beta _{1}q^{3}+(-\beta _{1}+\beta _{3})q^{5}+(20+\beta _{4}+\cdots)q^{7}+\cdots\)
96.6.f.a \(2\) \(15.397\) \(\Q(\sqrt{-2}) \) \(\Q(\sqrt{-2}) \) \(0\) \(2\) \(0\) \(0\) \(q+(1-11\beta )q^{3}+(-241-22\beta )q^{9}+\cdots\)
96.6.f.b \(16\) \(15.397\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{1}q^{3}-\beta _{3}q^{5}+\beta _{4}q^{7}+(30+\beta _{7}+\cdots)q^{9}+\cdots\)
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