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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
242.2.a.a \(1\) \(1.932\) \(\Q\) None \(-1\) \(-2\) \(-3\) \(2\) \(-\) \(q-q^{2}-2q^{3}+q^{4}-3q^{5}+2q^{6}+2q^{7}+\cdots\)
242.2.a.b \(1\) \(1.932\) \(\Q\) None \(1\) \(-2\) \(-3\) \(-2\) \(+\) \(q+q^{2}-2q^{3}+q^{4}-3q^{5}-2q^{6}-2q^{7}+\cdots\)
242.2.a.c \(2\) \(1.932\) \(\Q(\sqrt{3}) \) None \(-2\) \(-2\) \(0\) \(-6\) \(+\) \(q-q^{2}+(-1+\beta )q^{3}+q^{4}-\beta q^{5}+(1+\cdots)q^{6}+\cdots\)
242.2.a.d \(2\) \(1.932\) \(\Q(\sqrt{5}) \) None \(-2\) \(3\) \(2\) \(4\) \(-\) \(q-q^{2}+(1+\beta )q^{3}+q^{4}+(2-2\beta )q^{5}+\cdots\)
242.2.a.e \(2\) \(1.932\) \(\Q(\sqrt{3}) \) None \(2\) \(-2\) \(0\) \(6\) \(-\) \(q+q^{2}+(-1+\beta )q^{3}+q^{4}-\beta q^{5}+(-1+\cdots)q^{6}+\cdots\)
242.2.a.f \(2\) \(1.932\) \(\Q(\sqrt{5}) \) None \(2\) \(3\) \(2\) \(-4\) \(-\) \(q+q^{2}+(1+\beta )q^{3}+q^{4}+(2-2\beta )q^{5}+\cdots\)
242.2.c.a \(4\) \(1.932\) \(\Q(\zeta_{10})\) None \(-1\) \(1\) \(4\) \(2\) \(q+(-1+\zeta_{10}-\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots\)
242.2.c.b \(4\) \(1.932\) \(\Q(\zeta_{10})\) None \(-1\) \(2\) \(3\) \(2\) \(q+(-1+\zeta_{10}-\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots\)
242.2.c.c \(4\) \(1.932\) \(\Q(\zeta_{10})\) None \(1\) \(-4\) \(-6\) \(-2\) \(q+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}+(-\zeta_{10}+\cdots)q^{3}+\cdots\)
242.2.c.d \(4\) \(1.932\) \(\Q(\zeta_{10})\) None \(1\) \(1\) \(4\) \(-2\) \(q+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}+(\zeta_{10}+\cdots)q^{3}+\cdots\)
242.2.c.e \(4\) \(1.932\) \(\Q(\zeta_{10})\) None \(1\) \(2\) \(3\) \(-2\) \(q+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}-2\zeta_{10}^{2}q^{3}+\cdots\)
242.2.c.f \(8\) \(1.932\) 8.0.324000000.3 None \(-2\) \(2\) \(0\) \(-6\) \(q+(-1-\beta _{2}-\beta _{4}-\beta _{6})q^{2}+(-\beta _{1}+\cdots)q^{3}+\cdots\)
242.2.c.g \(8\) \(1.932\) 8.0.324000000.3 None \(2\) \(2\) \(0\) \(6\) \(q-\beta _{4}q^{2}+(-\beta _{2}-\beta _{7})q^{3}+(-1-\beta _{2}+\cdots)q^{4}+\cdots\)
242.2.e.a \(50\) \(1.932\) None \(5\) \(-10\) \(1\) \(0\)
242.2.e.b \(60\) \(1.932\) None \(-6\) \(8\) \(-5\) \(-8\)
242.2.g.a \(200\) \(1.932\) None \(-5\) \(10\) \(-1\) \(0\)
242.2.g.b \(240\) \(1.932\) None \(6\) \(-8\) \(5\) \(-2\)
242.3.b.a \(2\) \(6.594\) \(\Q(\sqrt{-2}) \) None \(0\) \(6\) \(18\) \(0\) \(q+\beta q^{2}+3q^{3}-2q^{4}+9q^{5}+3\beta q^{6}+\cdots\)
242.3.b.b \(4\) \(6.594\) \(\Q(\sqrt{-2}, \sqrt{97})\) None \(0\) \(-2\) \(2\) \(0\) \(q-\beta _{1}q^{2}+(-1+\beta _{2})q^{3}-2q^{4}+(1+\cdots)q^{5}+\cdots\)
242.3.b.c \(4\) \(6.594\) \(\Q(\sqrt{-2}, \sqrt{3})\) None \(0\) \(8\) \(16\) \(0\) \(q+(\beta _{1}-\beta _{3})q^{2}+(2-2\beta _{2})q^{3}-2q^{4}+\cdots\)
242.3.b.d \(8\) \(6.594\) 8.0.64000000.1 None \(0\) \(-12\) \(-28\) \(0\) \(q-\beta _{1}q^{2}+(-1+\beta _{2})q^{3}-2q^{4}+(-4+\cdots)q^{5}+\cdots\)
242.3.d.a \(8\) \(6.594\) 8.0.64000000.1 None \(0\) \(-6\) \(-18\) \(0\) \(q+\beta _{1}q^{2}+(-3+3\beta _{2}-3\beta _{4}+3\beta _{6}+\cdots)q^{3}+\cdots\)
242.3.d.b \(8\) \(6.594\) 8.0.64000000.1 None \(0\) \(-2\) \(2\) \(0\) \(q+\beta _{1}q^{2}+(-1+\beta _{2}-\beta _{4}+\beta _{6})q^{3}+\cdots\)
242.3.d.c \(8\) \(6.594\) 8.0.64000000.1 None \(0\) \(-2\) \(2\) \(30\) \(q+\beta _{1}q^{2}+(1+\beta _{1}-2\beta _{2}-\beta _{3}+2\beta _{4}+\cdots)q^{3}+\cdots\)
242.3.d.d \(8\) \(6.594\) 8.0.64000000.1 None \(0\) \(8\) \(12\) \(-20\) \(q+\beta _{1}q^{2}+(2-\beta _{1}-\beta _{2}+\beta _{4}+\beta _{5}+\cdots)q^{3}+\cdots\)
242.3.d.e \(8\) \(6.594\) 8.0.64000000.1 None \(0\) \(8\) \(12\) \(20\) \(q+\beta _{1}q^{2}+(2+\beta _{1}-\beta _{2}+\beta _{4}-\beta _{5}+\cdots)q^{3}+\cdots\)
242.3.d.f \(16\) \(6.594\) 16.0.\(\cdots\).7 None \(0\) \(-8\) \(-16\) \(0\) \(q+(-\beta _{5}-\beta _{7})q^{2}+(-2\beta _{8}+2\beta _{10}+\cdots)q^{3}+\cdots\)
242.3.d.g \(16\) \(6.594\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(0\) \(2\) \(-2\) \(0\) \(q-\beta _{6}q^{2}+(1+\beta _{1}-\beta _{2}+\beta _{3}+\beta _{15})q^{3}+\cdots\)
242.3.f.a \(220\) \(6.594\) None \(0\) \(-4\) \(-4\) \(0\)
242.3.h.a \(880\) \(6.594\) None \(0\) \(4\) \(4\) \(30\)
242.4.a.a \(1\) \(14.278\) \(\Q\) None \(-2\) \(1\) \(-3\) \(10\) \(-\) \(q-2q^{2}+q^{3}+4q^{4}-3q^{5}-2q^{6}+\cdots\)
242.4.a.b \(1\) \(14.278\) \(\Q\) None \(-2\) \(4\) \(3\) \(-8\) \(-\) \(q-2q^{2}+4q^{3}+4q^{4}+3q^{5}-8q^{6}+\cdots\)
242.4.a.c \(1\) \(14.278\) \(\Q\) None \(-2\) \(5\) \(-15\) \(36\) \(+\) \(q-2q^{2}+5q^{3}+4q^{4}-15q^{5}-10q^{6}+\cdots\)
242.4.a.d \(1\) \(14.278\) \(\Q\) None \(2\) \(-7\) \(-19\) \(-14\) \(+\) \(q+2q^{2}-7q^{3}+4q^{4}-19q^{5}-14q^{6}+\cdots\)
242.4.a.e \(1\) \(14.278\) \(\Q\) None \(2\) \(4\) \(3\) \(8\) \(+\) \(q+2q^{2}+4q^{3}+4q^{4}+3q^{5}+8q^{6}+\cdots\)
242.4.a.f \(1\) \(14.278\) \(\Q\) None \(2\) \(4\) \(14\) \(8\) \(+\) \(q+2q^{2}+4q^{3}+4q^{4}+14q^{5}+8q^{6}+\cdots\)
242.4.a.g \(1\) \(14.278\) \(\Q\) None \(2\) \(5\) \(-15\) \(-36\) \(-\) \(q+2q^{2}+5q^{3}+4q^{4}-15q^{5}+10q^{6}+\cdots\)
242.4.a.h \(2\) \(14.278\) \(\Q(\sqrt{5}) \) None \(-4\) \(-13\) \(-1\) \(-5\) \(-\) \(q-2q^{2}+(-5-3\beta )q^{3}+4q^{4}-\beta q^{5}+\cdots\)
242.4.a.i \(2\) \(14.278\) \(\Q(\sqrt{3}) \) None \(-4\) \(-2\) \(-12\) \(6\) \(+\) \(q-2q^{2}+(-1+\beta )q^{3}+4q^{4}+(-6+\cdots)q^{5}+\cdots\)
242.4.a.j \(2\) \(14.278\) \(\Q(\sqrt{37}) \) None \(-4\) \(6\) \(4\) \(-42\) \(-\) \(q-2q^{2}+(3+\beta )q^{3}+4q^{4}+(2-3\beta )q^{5}+\cdots\)
242.4.a.k \(2\) \(14.278\) \(\Q(\sqrt{5}) \) None \(4\) \(-13\) \(-1\) \(5\) \(-\) \(q+2q^{2}+(-5-3\beta )q^{3}+4q^{4}-\beta q^{5}+\cdots\)
242.4.a.l \(2\) \(14.278\) \(\Q(\sqrt{3}) \) None \(4\) \(-2\) \(-12\) \(-6\) \(-\) \(q+2q^{2}+(-1+\beta )q^{3}+4q^{4}+(-6+\cdots)q^{5}+\cdots\)
242.4.a.m \(2\) \(14.278\) \(\Q(\sqrt{37}) \) None \(4\) \(6\) \(4\) \(42\) \(+\) \(q+2q^{2}+(3+\beta )q^{3}+4q^{4}+(2-3\beta )q^{5}+\cdots\)
242.4.a.n \(4\) \(14.278\) 4.4.978025.2 None \(-8\) \(4\) \(25\) \(-3\) \(+\) \(q-2q^{2}+(1-\beta _{1})q^{3}+4q^{4}+(6-\beta _{2}+\cdots)q^{5}+\cdots\)
242.4.a.o \(4\) \(14.278\) 4.4.978025.2 None \(8\) \(4\) \(25\) \(3\) \(+\) \(q+2q^{2}+(1-\beta _{1})q^{3}+4q^{4}+(6-\beta _{2}+\cdots)q^{5}+\cdots\)
242.4.c.a \(4\) \(14.278\) \(\Q(\zeta_{10})\) None \(-2\) \(-5\) \(15\) \(36\) \(q+(-2+2\zeta_{10}-2\zeta_{10}^{2}+2\zeta_{10}^{3})q^{2}+\cdots\)
242.4.c.b \(4\) \(14.278\) \(\Q(\zeta_{10})\) None \(-2\) \(-4\) \(-14\) \(-8\) \(q+(-2+2\zeta_{10}-2\zeta_{10}^{2}+2\zeta_{10}^{3})q^{2}+\cdots\)
242.4.c.c \(4\) \(14.278\) \(\Q(\zeta_{10})\) None \(-2\) \(-4\) \(-3\) \(-8\) \(q+(-2+2\zeta_{10}-2\zeta_{10}^{2}+2\zeta_{10}^{3})q^{2}+\cdots\)
242.4.c.d \(4\) \(14.278\) \(\Q(\zeta_{10})\) None \(-2\) \(-1\) \(3\) \(10\) \(q+(-2+2\zeta_{10}-2\zeta_{10}^{2}+2\zeta_{10}^{3})q^{2}+\cdots\)
242.4.c.e \(4\) \(14.278\) \(\Q(\zeta_{10})\) None \(-2\) \(7\) \(19\) \(14\) \(q+(-2+2\zeta_{10}-2\zeta_{10}^{2}+2\zeta_{10}^{3})q^{2}+\cdots\)
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