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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
2070.2.a.a \(1\) \(16.529\) \(\Q\) None \(-1\) \(0\) \(-1\) \(-4\) \(-\) \(q-q^{2}+q^{4}-q^{5}-4q^{7}-q^{8}+q^{10}+\cdots\)
2070.2.a.b \(1\) \(16.529\) \(\Q\) None \(-1\) \(0\) \(-1\) \(0\) \(+\) \(q-q^{2}+q^{4}-q^{5}-q^{8}+q^{10}-4q^{11}+\cdots\)
2070.2.a.c \(1\) \(16.529\) \(\Q\) None \(-1\) \(0\) \(-1\) \(0\) \(+\) \(q-q^{2}+q^{4}-q^{5}-q^{8}+q^{10}+2q^{11}+\cdots\)
2070.2.a.d \(1\) \(16.529\) \(\Q\) None \(-1\) \(0\) \(1\) \(-4\) \(+\) \(q-q^{2}+q^{4}+q^{5}-4q^{7}-q^{8}-q^{10}+\cdots\)
2070.2.a.e \(1\) \(16.529\) \(\Q\) None \(-1\) \(0\) \(1\) \(-2\) \(+\) \(q-q^{2}+q^{4}+q^{5}-2q^{7}-q^{8}-q^{10}+\cdots\)
2070.2.a.f \(1\) \(16.529\) \(\Q\) None \(-1\) \(0\) \(1\) \(-2\) \(-\) \(q-q^{2}+q^{4}+q^{5}-2q^{7}-q^{8}-q^{10}+\cdots\)
2070.2.a.g \(1\) \(16.529\) \(\Q\) None \(-1\) \(0\) \(1\) \(0\) \(+\) \(q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}-2q^{11}+\cdots\)
2070.2.a.h \(1\) \(16.529\) \(\Q\) None \(-1\) \(0\) \(1\) \(0\) \(-\) \(q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}+6q^{13}+\cdots\)
2070.2.a.i \(1\) \(16.529\) \(\Q\) None \(-1\) \(0\) \(1\) \(2\) \(+\) \(q-q^{2}+q^{4}+q^{5}+2q^{7}-q^{8}-q^{10}+\cdots\)
2070.2.a.j \(1\) \(16.529\) \(\Q\) None \(1\) \(0\) \(-1\) \(-4\) \(-\) \(q+q^{2}+q^{4}-q^{5}-4q^{7}+q^{8}-q^{10}+\cdots\)
2070.2.a.k \(1\) \(16.529\) \(\Q\) None \(1\) \(0\) \(-1\) \(-2\) \(-\) \(q+q^{2}+q^{4}-q^{5}-2q^{7}+q^{8}-q^{10}+\cdots\)
2070.2.a.l \(1\) \(16.529\) \(\Q\) None \(1\) \(0\) \(-1\) \(-2\) \(+\) \(q+q^{2}+q^{4}-q^{5}-2q^{7}+q^{8}-q^{10}+\cdots\)
2070.2.a.m \(1\) \(16.529\) \(\Q\) None \(1\) \(0\) \(-1\) \(0\) \(+\) \(q+q^{2}+q^{4}-q^{5}+q^{8}-q^{10}-4q^{11}+\cdots\)
2070.2.a.n \(1\) \(16.529\) \(\Q\) None \(1\) \(0\) \(-1\) \(2\) \(-\) \(q+q^{2}+q^{4}-q^{5}+2q^{7}+q^{8}-q^{10}+\cdots\)
2070.2.a.o \(1\) \(16.529\) \(\Q\) None \(1\) \(0\) \(-1\) \(4\) \(-\) \(q+q^{2}+q^{4}-q^{5}+4q^{7}+q^{8}-q^{10}+\cdots\)
2070.2.a.p \(1\) \(16.529\) \(\Q\) None \(1\) \(0\) \(1\) \(-4\) \(+\) \(q+q^{2}+q^{4}+q^{5}-4q^{7}+q^{8}+q^{10}+\cdots\)
2070.2.a.q \(1\) \(16.529\) \(\Q\) None \(1\) \(0\) \(1\) \(-2\) \(+\) \(q+q^{2}+q^{4}+q^{5}-2q^{7}+q^{8}+q^{10}+\cdots\)
2070.2.a.r \(1\) \(16.529\) \(\Q\) None \(1\) \(0\) \(1\) \(0\) \(-\) \(q+q^{2}+q^{4}+q^{5}+q^{8}+q^{10}+4q^{11}+\cdots\)
2070.2.a.s \(1\) \(16.529\) \(\Q\) None \(1\) \(0\) \(1\) \(4\) \(-\) \(q+q^{2}+q^{4}+q^{5}+4q^{7}+q^{8}+q^{10}+\cdots\)
2070.2.a.t \(2\) \(16.529\) \(\Q(\sqrt{17}) \) None \(-2\) \(0\) \(-2\) \(-2\) \(-\) \(q-q^{2}+q^{4}-q^{5}+(-1-\beta )q^{7}-q^{8}+\cdots\)
2070.2.a.u \(2\) \(16.529\) \(\Q(\sqrt{5}) \) None \(-2\) \(0\) \(-2\) \(1\) \(-\) \(q-q^{2}+q^{4}-q^{5}+\beta q^{7}-q^{8}+q^{10}+\cdots\)
2070.2.a.v \(2\) \(16.529\) \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(-2\) \(4\) \(+\) \(q-q^{2}+q^{4}-q^{5}+(2+\beta )q^{7}-q^{8}+\cdots\)
2070.2.a.w \(2\) \(16.529\) \(\Q(\sqrt{13}) \) None \(2\) \(0\) \(-2\) \(3\) \(-\) \(q+q^{2}+q^{4}-q^{5}+(1+\beta )q^{7}+q^{8}+\cdots\)
2070.2.a.x \(2\) \(16.529\) \(\Q(\sqrt{21}) \) None \(2\) \(0\) \(2\) \(1\) \(-\) \(q+q^{2}+q^{4}+q^{5}+\beta q^{7}+q^{8}+q^{10}+\cdots\)
2070.2.a.y \(2\) \(16.529\) \(\Q(\sqrt{2}) \) None \(2\) \(0\) \(2\) \(4\) \(-\) \(q+q^{2}+q^{4}+q^{5}+(2+\beta )q^{7}+q^{8}+\cdots\)
2070.2.a.z \(3\) \(16.529\) 3.3.1101.1 None \(-3\) \(0\) \(3\) \(3\) \(-\) \(q-q^{2}+q^{4}+q^{5}+(1-\beta _{1}-\beta _{2})q^{7}+\cdots\)
2070.2.d.a \(4\) \(16.529\) \(\Q(\zeta_{8})\) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}^{2}q^{2}-q^{4}+(2\zeta_{8}+\zeta_{8}^{3})q^{5}-2\zeta_{8}^{2}q^{7}+\cdots\)
2070.2.d.b \(4\) \(16.529\) \(\Q(i, \sqrt{5})\) None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{2}-q^{4}-\beta _{3}q^{5}-4\beta _{1}q^{7}-\beta _{1}q^{8}+\cdots\)
2070.2.d.c \(4\) \(16.529\) \(\Q(i, \sqrt{5})\) None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{3}q^{2}-q^{4}+(1+2\beta _{2})q^{5}+3\beta _{1}q^{7}+\cdots\)
2070.2.d.d \(6\) \(16.529\) 6.0.5161984.1 None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{3}q^{2}-q^{4}+\beta _{4}q^{5}+2\beta _{3}q^{7}-\beta _{3}q^{8}+\cdots\)
2070.2.d.e \(6\) \(16.529\) 6.0.350464.1 None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{1}q^{2}-q^{4}-\beta _{3}q^{5}+(-\beta _{3}+\beta _{4}+\cdots)q^{7}+\cdots\)
2070.2.d.f \(8\) \(16.529\) 8.0.\(\cdots\).3 None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{2}q^{2}-q^{4}+(\beta _{3}+\beta _{6})q^{5}+(\beta _{2}-\beta _{5}+\cdots)q^{7}+\cdots\)
2070.2.d.g \(8\) \(16.529\) \(\Q(\zeta_{24})\) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{24}q^{2}-q^{4}+\zeta_{24}^{5}q^{5}-\zeta_{24}q^{8}+\cdots\)
2070.2.d.h \(16\) \(16.529\) \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{6}q^{2}-q^{4}-\beta _{11}q^{5}+\beta _{12}q^{7}+\cdots\)
2070.2.e.a \(16\) \(16.529\) \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None \(0\) \(0\) \(-16\) \(0\) \(q-\beta _{8}q^{2}-q^{4}-q^{5}-\beta _{5}q^{7}+\beta _{8}q^{8}+\cdots\)
2070.2.e.b \(16\) \(16.529\) \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None \(0\) \(0\) \(16\) \(0\) \(q+\beta _{8}q^{2}-q^{4}+q^{5}-\beta _{5}q^{7}-\beta _{8}q^{8}+\cdots\)
2070.2.h.a \(24\) \(16.529\) None \(-24\) \(0\) \(0\) \(0\)
2070.2.h.b \(24\) \(16.529\) None \(24\) \(0\) \(0\) \(0\)
2070.2.j.a \(4\) \(16.529\) \(\Q(\zeta_{8})\) None \(0\) \(0\) \(-8\) \(8\) \(q-\zeta_{8}q^{2}+\zeta_{8}^{2}q^{4}+(-2-\zeta_{8}^{2})q^{5}+\cdots\)
2070.2.j.b \(4\) \(16.529\) \(\Q(\zeta_{8})\) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}+(-\zeta_{8}-2\zeta_{8}^{3})q^{5}+\cdots\)
2070.2.j.c \(4\) \(16.529\) \(\Q(\zeta_{8})\) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}+(2\zeta_{8}-\zeta_{8}^{3})q^{5}+\cdots\)
2070.2.j.d \(4\) \(16.529\) \(\Q(\zeta_{8})\) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}+(2\zeta_{8}-\zeta_{8}^{3})q^{5}+\cdots\)
2070.2.j.e \(4\) \(16.529\) \(\Q(\zeta_{8})\) None \(0\) \(0\) \(0\) \(8\) \(q-\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}+(-2\zeta_{8}+\zeta_{8}^{3})q^{5}+\cdots\)
2070.2.j.f \(4\) \(16.529\) \(\Q(\zeta_{8})\) None \(0\) \(0\) \(8\) \(8\) \(q-\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}+(2-\zeta_{8}^{2})q^{5}+\cdots\)
2070.2.j.g \(12\) \(16.529\) 12.0.\(\cdots\).1 None \(0\) \(0\) \(0\) \(-24\) \(q+\beta _{1}q^{2}+\beta _{7}q^{4}-\beta _{11}q^{5}+(-2+2\beta _{7}+\cdots)q^{7}+\cdots\)
2070.2.j.h \(16\) \(16.529\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{6}q^{2}-\beta _{7}q^{4}+(-\beta _{4}+\beta _{10})q^{5}+\cdots\)
2070.2.j.i \(16\) \(16.529\) \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{7}q^{2}-\beta _{10}q^{4}+\beta _{15}q^{5}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
2070.2.j.j \(20\) \(16.529\) \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None \(0\) \(0\) \(0\) \(-16\) \(q+\beta _{13}q^{2}+\beta _{5}q^{4}+(-\beta _{12}-\beta _{16}+\cdots)q^{5}+\cdots\)
2070.3.b.a \(88\) \(56.403\) None \(0\) \(0\) \(0\) \(0\)
2070.3.c.a \(16\) \(56.403\) \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{6}q^{2}+2q^{4}-\beta _{2}q^{5}+(\beta _{1}+\beta _{7}+\cdots)q^{7}+\cdots\)
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