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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
98.2.a.a \(1\) \(0.783\) \(\Q\) None \(-1\) \(2\) \(0\) \(0\) \(-\) \(q-q^{2}+2q^{3}+q^{4}-2q^{6}-q^{8}+q^{9}+\cdots\)
98.2.a.b \(2\) \(0.783\) \(\Q(\sqrt{2}) \) None \(2\) \(0\) \(0\) \(0\) \(-\) \(q+q^{2}+\beta q^{3}+q^{4}-2\beta q^{5}+\beta q^{6}+\cdots\)
98.2.c.a \(2\) \(0.783\) \(\Q(\sqrt{-3}) \) None \(1\) \(-2\) \(0\) \(0\) \(q+\zeta_{6}q^{2}+(-2+2\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
98.2.c.b \(2\) \(0.783\) \(\Q(\sqrt{-3}) \) None \(1\) \(2\) \(0\) \(0\) \(q+\zeta_{6}q^{2}+(2-2\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
98.2.c.c \(4\) \(0.783\) \(\Q(\sqrt{2}, \sqrt{-3})\) None \(-2\) \(0\) \(0\) \(0\) \(q+\beta _{2}q^{2}+\beta _{1}q^{3}+(-1-\beta _{2})q^{4}+(2\beta _{1}+\cdots)q^{5}+\cdots\)
98.2.e.a \(18\) \(0.783\) \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None \(-3\) \(3\) \(-6\) \(-7\) \(q-\beta _{13}q^{2}+(\beta _{1}-\beta _{14})q^{3}+(-1+\beta _{8}+\cdots)q^{4}+\cdots\)
98.2.e.b \(18\) \(0.783\) \(\mathbb{Q}[x]/(x^{18} + \cdots)\) None \(3\) \(-5\) \(0\) \(-1\) \(q-\beta _{9}q^{2}+\beta _{4}q^{3}+(-1-\beta _{5}+\beta _{6}+\cdots)q^{4}+\cdots\)
98.2.g.a \(24\) \(0.783\) None \(-2\) \(7\) \(0\) \(0\)
98.2.g.b \(24\) \(0.783\) None \(2\) \(-7\) \(0\) \(0\)
98.3.b.a \(4\) \(2.670\) 4.0.2048.2 None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{2}q^{2}+(2\beta _{1}+2\beta _{3})q^{3}+2q^{4}+(-4\beta _{1}+\cdots)q^{5}+\cdots\)
98.3.b.b \(4\) \(2.670\) \(\Q(\sqrt{2}, \sqrt{-3})\) None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{2}+(-\beta _{2}-\beta _{3})q^{3}+2q^{4}+(\beta _{2}+\cdots)q^{5}+\cdots\)
98.3.d.a \(4\) \(2.670\) \(\Q(\sqrt{2}, \sqrt{-3})\) None \(0\) \(6\) \(6\) \(0\) \(q+\beta _{1}q^{2}+(2+\beta _{1}+\beta _{2}-\beta _{3})q^{3}+2\beta _{2}q^{4}+\cdots\)
98.3.d.b \(8\) \(2.670\) 8.0.339738624.1 None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{6}q^{2}+(2\beta _{1}+2\beta _{3})q^{3}+(-2-2\beta _{4}+\cdots)q^{4}+\cdots\)
98.3.f.a \(48\) \(2.670\) None \(0\) \(0\) \(0\) \(0\)
98.3.h.a \(120\) \(2.670\) None \(0\) \(6\) \(6\) \(-8\)
98.4.a.a \(1\) \(5.782\) \(\Q\) None \(-2\) \(-8\) \(14\) \(0\) \(-\) \(q-2q^{2}-8q^{3}+4q^{4}+14q^{5}+2^{4}q^{6}+\cdots\)
98.4.a.b \(1\) \(5.782\) \(\Q\) None \(-2\) \(-1\) \(7\) \(0\) \(+\) \(q-2q^{2}-q^{3}+4q^{4}+7q^{5}+2q^{6}+\cdots\)
98.4.a.c \(1\) \(5.782\) \(\Q\) None \(-2\) \(1\) \(-7\) \(0\) \(-\) \(q-2q^{2}+q^{3}+4q^{4}-7q^{5}-2q^{6}+\cdots\)
98.4.a.d \(1\) \(5.782\) \(\Q\) None \(2\) \(-5\) \(-9\) \(0\) \(-\) \(q+2q^{2}-5q^{3}+4q^{4}-9q^{5}-10q^{6}+\cdots\)
98.4.a.e \(1\) \(5.782\) \(\Q\) None \(2\) \(2\) \(12\) \(0\) \(+\) \(q+2q^{2}+2q^{3}+4q^{4}+12q^{5}+4q^{6}+\cdots\)
98.4.a.f \(1\) \(5.782\) \(\Q\) None \(2\) \(5\) \(9\) \(0\) \(+\) \(q+2q^{2}+5q^{3}+4q^{4}+9q^{5}+10q^{6}+\cdots\)
98.4.a.g \(2\) \(5.782\) \(\Q(\sqrt{2}) \) None \(-4\) \(0\) \(0\) \(0\) \(+\) \(q-2q^{2}+5\beta q^{3}+4q^{4}+14\beta q^{5}-10\beta q^{6}+\cdots\)
98.4.a.h \(2\) \(5.782\) \(\Q(\sqrt{22}) \) None \(4\) \(0\) \(0\) \(0\) \(+\) \(q+2q^{2}+\beta q^{3}+4q^{4}-\beta q^{5}+2\beta q^{6}+\cdots\)
98.4.c.a \(2\) \(5.782\) \(\Q(\sqrt{-3}) \) None \(-2\) \(-5\) \(-9\) \(0\) \(q-2\zeta_{6}q^{2}+(-5+5\zeta_{6})q^{3}+(-4+4\zeta_{6})q^{4}+\cdots\)
98.4.c.b \(2\) \(5.782\) \(\Q(\sqrt{-3}) \) None \(-2\) \(-2\) \(-12\) \(0\) \(q-2\zeta_{6}q^{2}+(-2+2\zeta_{6})q^{3}+(-4+4\zeta_{6})q^{4}+\cdots\)
98.4.c.c \(2\) \(5.782\) \(\Q(\sqrt{-3}) \) None \(-2\) \(2\) \(12\) \(0\) \(q-2\zeta_{6}q^{2}+(2-2\zeta_{6})q^{3}+(-4+4\zeta_{6})q^{4}+\cdots\)
98.4.c.d \(2\) \(5.782\) \(\Q(\sqrt{-3}) \) None \(2\) \(-8\) \(14\) \(0\) \(q+2\zeta_{6}q^{2}+(-8+8\zeta_{6})q^{3}+(-4+4\zeta_{6})q^{4}+\cdots\)
98.4.c.e \(2\) \(5.782\) \(\Q(\sqrt{-3}) \) None \(2\) \(-1\) \(7\) \(0\) \(q+2\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-4+4\zeta_{6})q^{4}+\cdots\)
98.4.c.f \(2\) \(5.782\) \(\Q(\sqrt{-3}) \) None \(2\) \(8\) \(-14\) \(0\) \(q+2\zeta_{6}q^{2}+(8-8\zeta_{6})q^{3}+(-4+4\zeta_{6})q^{4}+\cdots\)
98.4.c.g \(4\) \(5.782\) \(\Q(\sqrt{-3}, \sqrt{22})\) None \(-4\) \(0\) \(0\) \(0\) \(q+(-2-2\beta _{2})q^{2}+(\beta _{1}+\beta _{3})q^{3}+4\beta _{2}q^{4}+\cdots\)
98.4.c.h \(4\) \(5.782\) \(\Q(\sqrt{2}, \sqrt{-3})\) None \(4\) \(0\) \(0\) \(0\) \(q+(2+2\beta _{2})q^{2}+(5\beta _{1}+5\beta _{3})q^{3}+4\beta _{2}q^{4}+\cdots\)
98.4.e.a \(42\) \(5.782\) None \(-14\) \(-5\) \(12\) \(-7\)
98.4.e.b \(42\) \(5.782\) None \(14\) \(-1\) \(14\) \(7\)
98.4.g.a \(84\) \(5.782\) None \(-14\) \(-8\) \(7\) \(20\)
98.4.g.b \(84\) \(5.782\) None \(14\) \(2\) \(-9\) \(28\)
98.5.b.a \(4\) \(10.130\) 4.0.2048.2 None \(0\) \(0\) \(0\) \(0\) \(q-2\beta _{2}q^{2}+(-4\beta _{1}-7\beta _{3})q^{3}+8q^{4}+\cdots\)
98.5.b.b \(4\) \(10.130\) \(\Q(\sqrt{2}, \sqrt{-3})\) None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{1}q^{2}+(-3\beta _{2}-2\beta _{3})q^{3}+8q^{4}+\cdots\)
98.5.b.c \(4\) \(10.130\) 4.0.2048.2 None \(0\) \(0\) \(0\) \(0\) \(q-2\beta _{2}q^{2}+3\beta _{1}q^{3}+8q^{4}+(19\beta _{1}+\cdots)q^{5}+\cdots\)
98.5.d.a \(4\) \(10.130\) \(\Q(\sqrt{2}, \sqrt{-3})\) None \(0\) \(18\) \(-54\) \(0\) \(q+\beta _{1}q^{2}+(6-2\beta _{1}+3\beta _{2}+2\beta _{3})q^{3}+\cdots\)
98.5.d.b \(8\) \(10.130\) 8.0.339738624.1 None \(0\) \(0\) \(0\) \(0\) \(q+2\beta _{6}q^{2}+3\beta _{3}q^{3}+(-8-8\beta _{4})q^{4}+\cdots\)
98.5.d.c \(8\) \(10.130\) 8.0.339738624.1 None \(0\) \(0\) \(0\) \(0\) \(q-2\beta _{6}q^{2}+(4\beta _{1}+7\beta _{3})q^{3}+(-8-8\beta _{4}+\cdots)q^{4}+\cdots\)
98.5.d.d \(8\) \(10.130\) 8.0.\(\cdots\).28 None \(0\) \(0\) \(0\) \(0\) \(q+(\beta _{5}-\beta _{6})q^{2}+(\beta _{3}-\beta _{4})q^{3}+(-8+\cdots)q^{4}+\cdots\)
98.5.f.a \(120\) \(10.130\) None \(0\) \(0\) \(0\) \(76\)
98.5.h.a \(216\) \(10.130\) None \(0\) \(18\) \(-54\) \(28\)
98.6.a.a \(1\) \(15.718\) \(\Q\) None \(-4\) \(-10\) \(-84\) \(0\) \(-\) \(q-4q^{2}-10q^{3}+2^{4}q^{4}-84q^{5}+40q^{6}+\cdots\)
98.6.a.b \(1\) \(15.718\) \(\Q\) None \(4\) \(-8\) \(-10\) \(0\) \(+\) \(q+4q^{2}-8q^{3}+2^{4}q^{4}-10q^{5}-2^{5}q^{6}+\cdots\)
98.6.a.c \(2\) \(15.718\) \(\Q(\sqrt{130}) \) None \(-8\) \(-14\) \(-42\) \(0\) \(+\) \(q-4q^{2}+(-7+\beta )q^{3}+2^{4}q^{4}-21q^{5}+\cdots\)
98.6.a.d \(2\) \(15.718\) \(\Q(\sqrt{2}) \) None \(-8\) \(0\) \(0\) \(0\) \(+\) \(q-4q^{2}+6\beta q^{3}+2^{4}q^{4}-7\beta q^{5}-24\beta q^{6}+\cdots\)
98.6.a.e \(2\) \(15.718\) \(\Q(\sqrt{46}) \) None \(-8\) \(0\) \(0\) \(0\) \(-\) \(q-4q^{2}+\beta q^{3}+2^{4}q^{4}-7\beta q^{5}-4\beta q^{6}+\cdots\)
98.6.a.f \(2\) \(15.718\) \(\Q(\sqrt{130}) \) None \(-8\) \(14\) \(42\) \(0\) \(-\) \(q-4q^{2}+(7+\beta )q^{3}+2^{4}q^{4}+21q^{5}+\cdots\)
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