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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
945.1.n.a \(4\) \(0.472\) \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(0\) \(-4\) \(q+\zeta_{8}^{3}q^{2}-\zeta_{8}^{3}q^{5}-q^{7}-\zeta_{8}q^{8}+\cdots\)
945.1.n.b \(4\) \(0.472\) \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}^{3}q^{2}-\zeta_{8}^{3}q^{5}-\zeta_{8}^{2}q^{7}+\zeta_{8}q^{8}+\cdots\)
945.1.y.a \(8\) \(0.472\) \(\Q(\zeta_{24})\) None None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{24}+\zeta_{24}^{7})q^{2}+\zeta_{24}^{8}q^{4}-\zeta_{24}^{7}q^{5}+\cdots\)
945.1.bg.a \(2\) \(0.472\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-35}) \) None \(0\) \(0\) \(-1\) \(1\) \(q-\zeta_{6}q^{4}-\zeta_{6}q^{5}-\zeta_{6}^{2}q^{7}+\zeta_{6}^{2}q^{11}+\cdots\)
945.1.bg.b \(2\) \(0.472\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-35}) \) None \(0\) \(0\) \(1\) \(-1\) \(q-\zeta_{6}q^{4}+\zeta_{6}q^{5}+\zeta_{6}^{2}q^{7}+\zeta_{6}^{2}q^{11}+\cdots\)
945.1.cw.a \(6\) \(0.472\) \(\Q(\zeta_{18})\) \(\Q(\sqrt{-35}) \) None \(0\) \(-3\) \(0\) \(0\) \(q+\zeta_{18}^{6}q^{3}+\zeta_{18}^{4}q^{4}-\zeta_{18}q^{5}-\zeta_{18}^{5}q^{7}+\cdots\)
945.1.cw.b \(6\) \(0.472\) \(\Q(\zeta_{18})\) \(\Q(\sqrt{-35}) \) None \(0\) \(3\) \(0\) \(0\) \(q-\zeta_{18}^{6}q^{3}+\zeta_{18}^{4}q^{4}+\zeta_{18}q^{5}+\zeta_{18}^{5}q^{7}+\cdots\)
945.2.a.a \(2\) \(7.546\) \(\Q(\sqrt{5}) \) None None \(-3\) \(0\) \(2\) \(2\) \(+\) \(q+(-1-\beta )q^{2}+3\beta q^{4}+q^{5}+q^{7}+\cdots\)
945.2.a.b \(2\) \(7.546\) \(\Q(\sqrt{2}) \) None None \(-2\) \(0\) \(-2\) \(-2\) \(-\) \(q+(-1+\beta )q^{2}+(1-2\beta )q^{4}-q^{5}-q^{7}+\cdots\)
945.2.a.c \(2\) \(7.546\) \(\Q(\sqrt{5}) \) None None \(-1\) \(0\) \(2\) \(-2\) \(+\) \(q-\beta q^{2}+(-1+\beta )q^{4}+q^{5}-q^{7}+(-1+\cdots)q^{8}+\cdots\)
945.2.a.d \(2\) \(7.546\) \(\Q(\sqrt{5}) \) None None \(-1\) \(0\) \(2\) \(-2\) \(+\) \(q-\beta q^{2}+(-1+\beta )q^{4}+q^{5}-q^{7}+(-1+\cdots)q^{8}+\cdots\)
945.2.a.e \(2\) \(7.546\) \(\Q(\sqrt{5}) \) None None \(-1\) \(0\) \(2\) \(-2\) \(-\) \(q-\beta q^{2}+(-1+\beta )q^{4}+q^{5}-q^{7}+(-1+\cdots)q^{8}+\cdots\)
945.2.a.f \(2\) \(7.546\) \(\Q(\sqrt{13}) \) None None \(-1\) \(0\) \(-2\) \(2\) \(+\) \(q-\beta q^{2}+(1+\beta )q^{4}-q^{5}+q^{7}-3q^{8}+\cdots\)
945.2.a.g \(2\) \(7.546\) \(\Q(\sqrt{5}) \) None None \(1\) \(0\) \(-2\) \(-2\) \(+\) \(q+\beta q^{2}+(-1+\beta )q^{4}-q^{5}-q^{7}+(1+\cdots)q^{8}+\cdots\)
945.2.a.h \(2\) \(7.546\) \(\Q(\sqrt{5}) \) None None \(1\) \(0\) \(-2\) \(-2\) \(+\) \(q+\beta q^{2}+(-1+\beta )q^{4}-q^{5}-q^{7}+(1+\cdots)q^{8}+\cdots\)
945.2.a.i \(2\) \(7.546\) \(\Q(\sqrt{5}) \) None None \(1\) \(0\) \(-2\) \(-2\) \(-\) \(q+\beta q^{2}+(-1+\beta )q^{4}-q^{5}-q^{7}+(1+\cdots)q^{8}+\cdots\)
945.2.a.j \(2\) \(7.546\) \(\Q(\sqrt{13}) \) None None \(1\) \(0\) \(2\) \(2\) \(-\) \(q+\beta q^{2}+(1+\beta )q^{4}+q^{5}+q^{7}+3q^{8}+\cdots\)
945.2.a.k \(2\) \(7.546\) \(\Q(\sqrt{2}) \) None None \(2\) \(0\) \(2\) \(-2\) \(-\) \(q+(1+\beta )q^{2}+(1+2\beta )q^{4}+q^{5}-q^{7}+\cdots\)
945.2.a.l \(2\) \(7.546\) \(\Q(\sqrt{5}) \) None None \(3\) \(0\) \(-2\) \(2\) \(-\) \(q+(1+\beta )q^{2}+3\beta q^{4}-q^{5}+q^{7}+(1+\cdots)q^{8}+\cdots\)
945.2.a.m \(4\) \(7.546\) 4.4.144344.1 None None \(-1\) \(0\) \(-4\) \(4\) \(-\) \(q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}-q^{5}+q^{7}+(-1+\cdots)q^{8}+\cdots\)
945.2.a.n \(4\) \(7.546\) 4.4.144344.1 None None \(1\) \(0\) \(4\) \(4\) \(-\) \(q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+q^{5}+q^{7}+(1+\cdots)q^{8}+\cdots\)
945.2.b.a \(10\) \(7.546\) \(\mathbb{Q}[x]/(x^{10} + \cdots)\) None None \(0\) \(0\) \(-10\) \(3\) \(q+\beta _{1}q^{2}+(-1+\beta _{2})q^{4}-q^{5}-\beta _{8}q^{7}+\cdots\)
945.2.b.b \(10\) \(7.546\) \(\mathbb{Q}[x]/(x^{10} + \cdots)\) None None \(0\) \(0\) \(10\) \(3\) \(q+\beta _{1}q^{2}+(-1+\beta _{2})q^{4}+q^{5}-\beta _{7}q^{7}+\cdots\)
945.2.b.c \(12\) \(7.546\) \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None None \(0\) \(0\) \(-12\) \(-2\) \(q+\beta _{1}q^{2}+(-1+\beta _{2})q^{4}-q^{5}+\beta _{6}q^{7}+\cdots\)
945.2.b.d \(12\) \(7.546\) \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None None \(0\) \(0\) \(12\) \(-2\) \(q+\beta _{1}q^{2}+(-1+\beta _{2})q^{4}+q^{5}-\beta _{7}q^{7}+\cdots\)
945.2.d.a \(2\) \(7.546\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(-2\) \(0\) \(q+iq^{2}+q^{4}+(-1-2i)q^{5}-iq^{7}+\cdots\)
945.2.d.b \(2\) \(7.546\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(2\) \(0\) \(q+iq^{2}+q^{4}+(1-2i)q^{5}+iq^{7}+3iq^{8}+\cdots\)
945.2.d.c \(8\) \(7.546\) 8.0.49787136.1 None None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{2}q^{2}+(-1-\beta _{4})q^{4}+(-\beta _{5}+\beta _{6}+\cdots)q^{5}+\cdots\)
945.2.d.d \(10\) \(7.546\) \(\mathbb{Q}[x]/(x^{10} + \cdots)\) None None \(0\) \(0\) \(-2\) \(0\) \(q+\beta _{1}q^{2}+(-1+\beta _{2})q^{4}+\beta _{3}q^{5}-\beta _{5}q^{7}+\cdots\)
945.2.d.e \(10\) \(7.546\) \(\mathbb{Q}[x]/(x^{10} + \cdots)\) None None \(0\) \(0\) \(2\) \(0\) \(q+\beta _{1}q^{2}+(-1+\beta _{2})q^{4}+\beta _{4}q^{5}+\beta _{5}q^{7}+\cdots\)
945.2.d.f \(16\) \(7.546\) \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{10}q^{2}+(-2-\beta _{7})q^{4}-\beta _{9}q^{5}+\cdots\)
945.2.g.a \(32\) \(7.546\) None None \(0\) \(0\) \(0\) \(0\)
945.2.g.b \(32\) \(7.546\) None None \(0\) \(0\) \(0\) \(0\)
945.2.i.a \(2\) \(7.546\) \(\Q(\sqrt{-3}) \) None None \(0\) \(0\) \(-1\) \(-1\) \(q+2\zeta_{6}q^{4}-\zeta_{6}q^{5}+(-1+\zeta_{6})q^{7}+\cdots\)
945.2.i.b \(2\) \(7.546\) \(\Q(\sqrt{-3}) \) None None \(2\) \(0\) \(-1\) \(-1\) \(q+(2-2\zeta_{6})q^{2}-2\zeta_{6}q^{4}-\zeta_{6}q^{5}+(-1+\cdots)q^{7}+\cdots\)
945.2.i.c \(8\) \(7.546\) \(\Q(\zeta_{15})\) None None \(-1\) \(0\) \(-4\) \(4\) \(q+(-1-\zeta_{15}+\zeta_{15}^{2}-\zeta_{15}^{3})q^{2}+\cdots\)
945.2.i.d \(8\) \(7.546\) 8.0.142635249.1 None None \(-1\) \(0\) \(4\) \(-4\) \(q-\beta _{7}q^{2}+(\beta _{1}+\beta _{4}+\beta _{7})q^{4}+(1-\beta _{2}+\cdots)q^{5}+\cdots\)
945.2.i.e \(12\) \(7.546\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None None \(-3\) \(0\) \(-6\) \(-6\) \(q+(1-\beta _{1}+\beta _{4}-\beta _{5})q^{2}+(-2-\beta _{2}+\cdots)q^{4}+\cdots\)
945.2.i.f \(16\) \(7.546\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(-1\) \(0\) \(8\) \(8\) \(q+(\beta _{1}-\beta _{13})q^{2}+(-\beta _{3}-\beta _{10})q^{4}+\cdots\)
945.2.j.a \(2\) \(7.546\) \(\Q(\sqrt{-3}) \) None None \(-1\) \(0\) \(-1\) \(-1\) \(q-\zeta_{6}q^{2}+(1-\zeta_{6})q^{4}-\zeta_{6}q^{5}+(1-3\zeta_{6})q^{7}+\cdots\)
945.2.j.b \(2\) \(7.546\) \(\Q(\sqrt{-3}) \) None None \(1\) \(0\) \(1\) \(-1\) \(q+\zeta_{6}q^{2}+(1-\zeta_{6})q^{4}+\zeta_{6}q^{5}+(1-3\zeta_{6})q^{7}+\cdots\)
945.2.j.c \(6\) \(7.546\) 6.0.1783323.2 None None \(-1\) \(0\) \(3\) \(-2\) \(q-\beta _{1}q^{2}+(-\beta _{3}-\beta _{4}+\beta _{5})q^{4}+(1+\cdots)q^{5}+\cdots\)
945.2.j.d \(6\) \(7.546\) 6.0.1783323.2 None None \(1\) \(0\) \(-3\) \(-2\) \(q+\beta _{1}q^{2}+(-\beta _{3}-\beta _{4}+\beta _{5})q^{4}+(-1+\cdots)q^{5}+\cdots\)
945.2.j.e \(10\) \(7.546\) 10.0.\(\cdots\).1 None None \(0\) \(0\) \(-5\) \(-5\) \(q+\beta _{1}q^{2}+(\beta _{2}-\beta _{6}+\beta _{9})q^{4}+(-1+\cdots)q^{5}+\cdots\)
945.2.j.f \(10\) \(7.546\) \(\mathbb{Q}[x]/(x^{10} + \cdots)\) None None \(0\) \(0\) \(-5\) \(-1\) \(q+(\beta _{1}-\beta _{2})q^{2}+(-1+\beta _{3}+\beta _{6}-\beta _{8}+\cdots)q^{4}+\cdots\)
945.2.j.g \(10\) \(7.546\) 10.0.\(\cdots\).1 None None \(0\) \(0\) \(5\) \(-5\) \(q+(\beta _{1}-\beta _{3})q^{2}+(-1+\beta _{6}-\beta _{9})q^{4}+\cdots\)
945.2.j.h \(10\) \(7.546\) \(\mathbb{Q}[x]/(x^{10} + \cdots)\) None None \(0\) \(0\) \(5\) \(-1\) \(q+(-\beta _{1}+\beta _{2})q^{2}+(-1+\beta _{3}+\beta _{6}+\cdots)q^{4}+\cdots\)
945.2.j.i \(14\) \(7.546\) \(\mathbb{Q}[x]/(x^{14} + \cdots)\) None None \(0\) \(0\) \(-7\) \(2\) \(q+(-\beta _{1}-\beta _{2})q^{2}+(\beta _{3}-\beta _{7}+\beta _{10}+\cdots)q^{4}+\cdots\)
945.2.j.j \(14\) \(7.546\) \(\mathbb{Q}[x]/(x^{14} + \cdots)\) None None \(0\) \(0\) \(7\) \(2\) \(q+(\beta _{1}+\beta _{2})q^{2}+(\beta _{3}-\beta _{7}+\beta _{10})q^{4}+\cdots\)
945.2.k.a \(4\) \(7.546\) \(\Q(\sqrt{-3}, \sqrt{13})\) None None \(-1\) \(0\) \(4\) \(-8\) \(q-\beta _{1}q^{2}+(-1+\beta _{1}+\beta _{2}+\beta _{3})q^{4}+\cdots\)
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