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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
2898.2.a.a \(1\) \(23.141\) \(\Q\) None \(-1\) \(0\) \(-3\) \(-1\) \(-\) \(q-q^{2}+q^{4}-3q^{5}-q^{7}-q^{8}+3q^{10}+\cdots\)
2898.2.a.b \(1\) \(23.141\) \(\Q\) None \(-1\) \(0\) \(-3\) \(1\) \(-\) \(q-q^{2}+q^{4}-3q^{5}+q^{7}-q^{8}+3q^{10}+\cdots\)
2898.2.a.c \(1\) \(23.141\) \(\Q\) None \(-1\) \(0\) \(-1\) \(-1\) \(+\) \(q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}+q^{10}+\cdots\)
2898.2.a.d \(1\) \(23.141\) \(\Q\) None \(-1\) \(0\) \(-1\) \(1\) \(+\) \(q-q^{2}+q^{4}-q^{5}+q^{7}-q^{8}+q^{10}+\cdots\)
2898.2.a.e \(1\) \(23.141\) \(\Q\) None \(-1\) \(0\) \(1\) \(1\) \(+\) \(q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-q^{10}+\cdots\)
2898.2.a.f \(1\) \(23.141\) \(\Q\) None \(-1\) \(0\) \(2\) \(-1\) \(-\) \(q-q^{2}+q^{4}+2q^{5}-q^{7}-q^{8}-2q^{10}+\cdots\)
2898.2.a.g \(1\) \(23.141\) \(\Q\) None \(-1\) \(0\) \(2\) \(-1\) \(-\) \(q-q^{2}+q^{4}+2q^{5}-q^{7}-q^{8}-2q^{10}+\cdots\)
2898.2.a.h \(1\) \(23.141\) \(\Q\) None \(-1\) \(0\) \(2\) \(1\) \(+\) \(q-q^{2}+q^{4}+2q^{5}+q^{7}-q^{8}-2q^{10}+\cdots\)
2898.2.a.i \(1\) \(23.141\) \(\Q\) None \(-1\) \(0\) \(2\) \(1\) \(-\) \(q-q^{2}+q^{4}+2q^{5}+q^{7}-q^{8}-2q^{10}+\cdots\)
2898.2.a.j \(1\) \(23.141\) \(\Q\) None \(-1\) \(0\) \(3\) \(1\) \(-\) \(q-q^{2}+q^{4}+3q^{5}+q^{7}-q^{8}-3q^{10}+\cdots\)
2898.2.a.k \(1\) \(23.141\) \(\Q\) None \(1\) \(0\) \(-3\) \(1\) \(+\) \(q+q^{2}+q^{4}-3q^{5}+q^{7}+q^{8}-3q^{10}+\cdots\)
2898.2.a.l \(1\) \(23.141\) \(\Q\) None \(1\) \(0\) \(-2\) \(1\) \(-\) \(q+q^{2}+q^{4}-2q^{5}+q^{7}+q^{8}-2q^{10}+\cdots\)
2898.2.a.m \(1\) \(23.141\) \(\Q\) None \(1\) \(0\) \(-1\) \(1\) \(+\) \(q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-q^{10}+\cdots\)
2898.2.a.n \(1\) \(23.141\) \(\Q\) None \(1\) \(0\) \(0\) \(-1\) \(+\) \(q+q^{2}+q^{4}-q^{7}+q^{8}+2q^{11}-6q^{13}+\cdots\)
2898.2.a.o \(1\) \(23.141\) \(\Q\) None \(1\) \(0\) \(0\) \(1\) \(-\) \(q+q^{2}+q^{4}+q^{7}+q^{8}-6q^{11}+2q^{13}+\cdots\)
2898.2.a.p \(1\) \(23.141\) \(\Q\) None \(1\) \(0\) \(0\) \(1\) \(+\) \(q+q^{2}+q^{4}+q^{7}+q^{8}-4q^{11}+q^{14}+\cdots\)
2898.2.a.q \(1\) \(23.141\) \(\Q\) None \(1\) \(0\) \(1\) \(-1\) \(+\) \(q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}+q^{10}+\cdots\)
2898.2.a.r \(1\) \(23.141\) \(\Q\) None \(1\) \(0\) \(2\) \(-1\) \(-\) \(q+q^{2}+q^{4}+2q^{5}-q^{7}+q^{8}+2q^{10}+\cdots\)
2898.2.a.s \(1\) \(23.141\) \(\Q\) None \(1\) \(0\) \(2\) \(1\) \(-\) \(q+q^{2}+q^{4}+2q^{5}+q^{7}+q^{8}+2q^{10}+\cdots\)
2898.2.a.t \(1\) \(23.141\) \(\Q\) None \(1\) \(0\) \(3\) \(1\) \(-\) \(q+q^{2}+q^{4}+3q^{5}+q^{7}+q^{8}+3q^{10}+\cdots\)
2898.2.a.u \(1\) \(23.141\) \(\Q\) None \(1\) \(0\) \(4\) \(1\) \(-\) \(q+q^{2}+q^{4}+4q^{5}+q^{7}+q^{8}+4q^{10}+\cdots\)
2898.2.a.v \(2\) \(23.141\) \(\Q(\sqrt{5}) \) None \(-2\) \(0\) \(-4\) \(2\) \(-\) \(q-q^{2}+q^{4}-2q^{5}+q^{7}-q^{8}+2q^{10}+\cdots\)
2898.2.a.w \(2\) \(23.141\) \(\Q(\sqrt{3}) \) None \(-2\) \(0\) \(-2\) \(2\) \(+\) \(q-q^{2}+q^{4}+(-1+\beta )q^{5}+q^{7}-q^{8}+\cdots\)
2898.2.a.x \(2\) \(23.141\) \(\Q(\sqrt{33}) \) None \(-2\) \(0\) \(3\) \(-2\) \(+\) \(q-q^{2}+q^{4}+(1+\beta )q^{5}-q^{7}-q^{8}+\cdots\)
2898.2.a.y \(2\) \(23.141\) \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(4\) \(-2\) \(+\) \(q-q^{2}+q^{4}+(2+\beta )q^{5}-q^{7}-q^{8}+\cdots\)
2898.2.a.z \(2\) \(23.141\) \(\Q(\sqrt{2}) \) None \(2\) \(0\) \(-4\) \(-2\) \(+\) \(q+q^{2}+q^{4}+(-2+\beta )q^{5}-q^{7}+q^{8}+\cdots\)
2898.2.a.ba \(2\) \(23.141\) \(\Q(\sqrt{17}) \) None \(2\) \(0\) \(-1\) \(-2\) \(+\) \(q+q^{2}+q^{4}-\beta q^{5}-q^{7}+q^{8}-\beta q^{10}+\cdots\)
2898.2.a.bb \(2\) \(23.141\) \(\Q(\sqrt{41}) \) None \(2\) \(0\) \(-1\) \(2\) \(-\) \(q+q^{2}+q^{4}-\beta q^{5}+q^{7}+q^{8}-\beta q^{10}+\cdots\)
2898.2.a.bc \(2\) \(23.141\) \(\Q(\sqrt{41}) \) None \(2\) \(0\) \(1\) \(-2\) \(-\) \(q+q^{2}+q^{4}+\beta q^{5}-q^{7}+q^{8}+\beta q^{10}+\cdots\)
2898.2.a.bd \(2\) \(23.141\) \(\Q(\sqrt{5}) \) None \(2\) \(0\) \(2\) \(-2\) \(-\) \(q+q^{2}+q^{4}+(1+\beta )q^{5}-q^{7}+q^{8}+\cdots\)
2898.2.a.be \(3\) \(23.141\) 3.3.316.1 None \(-3\) \(0\) \(-4\) \(-3\) \(+\) \(q-q^{2}+q^{4}+(-1+\beta _{2})q^{5}-q^{7}-q^{8}+\cdots\)
2898.2.a.bf \(3\) \(23.141\) 3.3.568.1 None \(-3\) \(0\) \(-1\) \(-3\) \(-\) \(q-q^{2}+q^{4}+\beta _{2}q^{5}-q^{7}-q^{8}-\beta _{2}q^{10}+\cdots\)
2898.2.a.bg \(3\) \(23.141\) 3.3.568.1 None \(3\) \(0\) \(1\) \(-3\) \(-\) \(q+q^{2}+q^{4}-\beta _{2}q^{5}-q^{7}+q^{8}-\beta _{2}q^{10}+\cdots\)
2898.2.a.bh \(4\) \(23.141\) 4.4.271296.1 None \(-4\) \(0\) \(0\) \(4\) \(-\) \(q-q^{2}+q^{4}+\beta _{1}q^{5}+q^{7}-q^{8}-\beta _{1}q^{10}+\cdots\)
2898.2.a.bi \(4\) \(23.141\) 4.4.271296.1 None \(4\) \(0\) \(0\) \(4\) \(-\) \(q+q^{2}+q^{4}-\beta _{1}q^{5}+q^{7}+q^{8}-\beta _{1}q^{10}+\cdots\)
2898.2.f.a \(32\) \(23.141\) None \(0\) \(0\) \(0\) \(0\)
2898.2.f.b \(32\) \(23.141\) None \(0\) \(0\) \(0\) \(0\)
2898.2.g.a \(4\) \(23.141\) 4.0.2312.1 None \(-4\) \(0\) \(-8\) \(2\) \(q-q^{2}+q^{4}-2q^{5}+(1-\beta _{1})q^{7}-q^{8}+\cdots\)
2898.2.g.b \(4\) \(23.141\) 4.0.2312.1 None \(-4\) \(0\) \(8\) \(-2\) \(q-q^{2}+q^{4}+2q^{5}+(-1+\beta _{1})q^{7}+\cdots\)
2898.2.g.c \(4\) \(23.141\) \(\Q(i, \sqrt{7})\) None \(4\) \(0\) \(0\) \(0\) \(q+q^{2}+q^{4}+\beta _{3}q^{7}+q^{8}+2\beta _{3}q^{11}+\cdots\)
2898.2.g.d \(4\) \(23.141\) \(\Q(i, \sqrt{7})\) None \(4\) \(0\) \(0\) \(0\) \(q+q^{2}+q^{4}+\beta _{2}q^{5}-\beta _{2}q^{7}+q^{8}+\cdots\)
2898.2.g.e \(4\) \(23.141\) \(\Q(\sqrt{-2}, \sqrt{-7})\) None \(4\) \(0\) \(0\) \(0\) \(q+q^{2}+q^{4}-\beta _{1}q^{5}-\beta _{3}q^{7}+q^{8}+\cdots\)
2898.2.g.f \(4\) \(23.141\) \(\Q(\sqrt{-2}, \sqrt{7})\) None \(4\) \(0\) \(0\) \(0\) \(q+q^{2}+q^{4}-\beta _{3}q^{7}+q^{8}+\beta _{2}q^{11}+\cdots\)
2898.2.g.g \(4\) \(23.141\) \(\Q(i, \sqrt{14})\) None \(4\) \(0\) \(0\) \(0\) \(q+q^{2}+q^{4}-\beta _{3}q^{7}+q^{8}+(\beta _{1}+\beta _{3})q^{11}+\cdots\)
2898.2.g.h \(4\) \(23.141\) \(\Q(i, \sqrt{14})\) None \(4\) \(0\) \(0\) \(0\) \(q+q^{2}+q^{4}+(-\beta _{1}+\beta _{3})q^{5}-\beta _{1}q^{7}+\cdots\)
2898.2.g.i \(16\) \(23.141\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(-16\) \(0\) \(0\) \(0\) \(q-q^{2}+q^{4}-\beta _{12}q^{5}+\beta _{1}q^{7}-q^{8}+\cdots\)
2898.2.g.j \(16\) \(23.141\) \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None \(-16\) \(0\) \(0\) \(0\) \(q-q^{2}+q^{4}-\beta _{8}q^{5}-\beta _{12}q^{7}-q^{8}+\cdots\)
2898.2.g.k \(16\) \(23.141\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(16\) \(0\) \(0\) \(0\) \(q+q^{2}+q^{4}-\beta _{12}q^{5}-\beta _{1}q^{7}+q^{8}+\cdots\)
2898.2.h.a \(24\) \(23.141\) None \(0\) \(0\) \(-8\) \(0\)
2898.2.h.b \(24\) \(23.141\) None \(0\) \(0\) \(8\) \(0\)
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