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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
5376.2.a.a \(1\) \(42.928\) \(\Q\) None \(0\) \(-1\) \(-2\) \(-1\) \(-\) \(q-q^{3}-2q^{5}-q^{7}+q^{9}-2q^{11}-6q^{13}+\cdots\)
5376.2.a.b \(1\) \(42.928\) \(\Q\) None \(0\) \(-1\) \(-2\) \(1\) \(-\) \(q-q^{3}-2q^{5}+q^{7}+q^{9}+2q^{11}+2q^{13}+\cdots\)
5376.2.a.c \(1\) \(42.928\) \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) \(+\) \(q-q^{3}-q^{7}+q^{9}-2q^{17}+4q^{19}+\cdots\)
5376.2.a.d \(1\) \(42.928\) \(\Q\) None \(0\) \(-1\) \(0\) \(1\) \(+\) \(q-q^{3}+q^{7}+q^{9}-2q^{17}+4q^{19}+\cdots\)
5376.2.a.e \(1\) \(42.928\) \(\Q\) None \(0\) \(-1\) \(2\) \(-1\) \(+\) \(q-q^{3}+2q^{5}-q^{7}+q^{9}+2q^{11}-2q^{13}+\cdots\)
5376.2.a.f \(1\) \(42.928\) \(\Q\) None \(0\) \(-1\) \(2\) \(1\) \(+\) \(q-q^{3}+2q^{5}+q^{7}+q^{9}-2q^{11}+6q^{13}+\cdots\)
5376.2.a.g \(1\) \(42.928\) \(\Q\) None \(0\) \(1\) \(-2\) \(-1\) \(+\) \(q+q^{3}-2q^{5}-q^{7}+q^{9}-2q^{11}+2q^{13}+\cdots\)
5376.2.a.h \(1\) \(42.928\) \(\Q\) None \(0\) \(1\) \(-2\) \(1\) \(+\) \(q+q^{3}-2q^{5}+q^{7}+q^{9}+2q^{11}-6q^{13}+\cdots\)
5376.2.a.i \(1\) \(42.928\) \(\Q\) None \(0\) \(1\) \(0\) \(-1\) \(+\) \(q+q^{3}-q^{7}+q^{9}-2q^{17}-4q^{19}+\cdots\)
5376.2.a.j \(1\) \(42.928\) \(\Q\) None \(0\) \(1\) \(0\) \(1\) \(+\) \(q+q^{3}+q^{7}+q^{9}-2q^{17}-4q^{19}+\cdots\)
5376.2.a.k \(1\) \(42.928\) \(\Q\) None \(0\) \(1\) \(2\) \(-1\) \(-\) \(q+q^{3}+2q^{5}-q^{7}+q^{9}+2q^{11}+6q^{13}+\cdots\)
5376.2.a.l \(1\) \(42.928\) \(\Q\) None \(0\) \(1\) \(2\) \(1\) \(-\) \(q+q^{3}+2q^{5}+q^{7}+q^{9}-2q^{11}-2q^{13}+\cdots\)
5376.2.a.m \(2\) \(42.928\) \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(-4\) \(-2\) \(+\) \(q-q^{3}+(-2+\beta )q^{5}-q^{7}+q^{9}+\beta q^{11}+\cdots\)
5376.2.a.n \(2\) \(42.928\) \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(-2\) \(-2\) \(+\) \(q-q^{3}+(-1+\beta )q^{5}-q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots\)
5376.2.a.o \(2\) \(42.928\) \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(-2\) \(-2\) \(-\) \(q-q^{3}+(-1+\beta )q^{5}-q^{7}+q^{9}+(3+\cdots)q^{11}+\cdots\)
5376.2.a.p \(2\) \(42.928\) \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(-2\) \(2\) \(+\) \(q-q^{3}+(-1+\beta )q^{5}+q^{7}+q^{9}+(1+\cdots)q^{11}+\cdots\)
5376.2.a.q \(2\) \(42.928\) \(\Q(\sqrt{6}) \) None \(0\) \(-2\) \(0\) \(-2\) \(-\) \(q-q^{3}+\beta q^{5}-q^{7}+q^{9}+(-2+\beta )q^{11}+\cdots\)
5376.2.a.r \(2\) \(42.928\) \(\Q(\sqrt{6}) \) None \(0\) \(-2\) \(0\) \(2\) \(-\) \(q-q^{3}+\beta q^{5}+q^{7}+q^{9}+(-2-\beta )q^{11}+\cdots\)
5376.2.a.s \(2\) \(42.928\) \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(2\) \(-2\) \(-\) \(q-q^{3}+(1+\beta )q^{5}-q^{7}+q^{9}+(1+3\beta )q^{11}+\cdots\)
5376.2.a.t \(2\) \(42.928\) \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(2\) \(2\) \(-\) \(q-q^{3}+(1+\beta )q^{5}+q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots\)
5376.2.a.u \(2\) \(42.928\) \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(2\) \(2\) \(-\) \(q-q^{3}+(1+\beta )q^{5}+q^{7}+q^{9}+(3+\beta )q^{11}+\cdots\)
5376.2.a.v \(2\) \(42.928\) \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(4\) \(2\) \(-\) \(q-q^{3}+(2+\beta )q^{5}+q^{7}+q^{9}-\beta q^{11}+\cdots\)
5376.2.a.w \(2\) \(42.928\) \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(-4\) \(2\) \(+\) \(q+q^{3}+(-2+\beta )q^{5}+q^{7}+q^{9}-\beta q^{11}+\cdots\)
5376.2.a.x \(2\) \(42.928\) \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(-2\) \(-2\) \(-\) \(q+q^{3}+(-1+\beta )q^{5}-q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots\)
5376.2.a.y \(2\) \(42.928\) \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(-2\) \(2\) \(+\) \(q+q^{3}+(-1+\beta )q^{5}+q^{7}+q^{9}+(-3+\cdots)q^{11}+\cdots\)
5376.2.a.z \(2\) \(42.928\) \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(-2\) \(2\) \(-\) \(q+q^{3}+(-1+\beta )q^{5}+q^{7}+q^{9}+(1+\cdots)q^{11}+\cdots\)
5376.2.a.ba \(2\) \(42.928\) \(\Q(\sqrt{6}) \) None \(0\) \(2\) \(0\) \(-2\) \(-\) \(q+q^{3}+\beta q^{5}-q^{7}+q^{9}+(2+\beta )q^{11}+\cdots\)
5376.2.a.bb \(2\) \(42.928\) \(\Q(\sqrt{6}) \) None \(0\) \(2\) \(0\) \(2\) \(-\) \(q+q^{3}+\beta q^{5}+q^{7}+q^{9}+(2-\beta )q^{11}+\cdots\)
5376.2.a.bc \(2\) \(42.928\) \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(2\) \(-2\) \(+\) \(q+q^{3}+(1+\beta )q^{5}-q^{7}+q^{9}+(-3+\cdots)q^{11}+\cdots\)
5376.2.a.bd \(2\) \(42.928\) \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(2\) \(-2\) \(+\) \(q+q^{3}+(1+\beta )q^{5}-q^{7}+q^{9}+(1-\beta )q^{11}+\cdots\)
5376.2.a.be \(2\) \(42.928\) \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(2\) \(2\) \(+\) \(q+q^{3}+(1+\beta )q^{5}+q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots\)
5376.2.a.bf \(2\) \(42.928\) \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(4\) \(-2\) \(-\) \(q+q^{3}+(2+\beta )q^{5}-q^{7}+q^{9}+\beta q^{11}+\cdots\)
5376.2.a.bg \(3\) \(42.928\) 3.3.1016.1 None \(0\) \(-3\) \(0\) \(-3\) \(-\) \(q-q^{3}+\beta _{2}q^{5}-q^{7}+q^{9}+(1-\beta _{1}+\cdots)q^{11}+\cdots\)
5376.2.a.bh \(3\) \(42.928\) 3.3.1016.1 None \(0\) \(-3\) \(0\) \(3\) \(-\) \(q-q^{3}-\beta _{2}q^{5}+q^{7}+q^{9}+(1-\beta _{1}+\cdots)q^{11}+\cdots\)
5376.2.a.bi \(3\) \(42.928\) 3.3.1016.1 None \(0\) \(3\) \(0\) \(-3\) \(-\) \(q+q^{3}-\beta _{2}q^{5}-q^{7}+q^{9}+(-1+\beta _{1}+\cdots)q^{11}+\cdots\)
5376.2.a.bj \(3\) \(42.928\) 3.3.1016.1 None \(0\) \(3\) \(0\) \(3\) \(-\) \(q+q^{3}+\beta _{2}q^{5}+q^{7}+q^{9}+(-1+\beta _{1}+\cdots)q^{11}+\cdots\)
5376.2.a.bk \(4\) \(42.928\) 4.4.7232.1 None \(0\) \(-4\) \(-4\) \(4\) \(+\) \(q-q^{3}+(-1-\beta _{1})q^{5}+q^{7}+q^{9}+(-\beta _{1}+\cdots)q^{11}+\cdots\)
5376.2.a.bl \(4\) \(42.928\) 4.4.19664.1 None \(0\) \(-4\) \(-2\) \(4\) \(+\) \(q-q^{3}+(-1-\beta _{3})q^{5}+q^{7}+q^{9}+(-2+\cdots)q^{11}+\cdots\)
5376.2.a.bm \(4\) \(42.928\) 4.4.19664.1 None \(0\) \(-4\) \(2\) \(-4\) \(+\) \(q-q^{3}+(1+\beta _{3})q^{5}-q^{7}+q^{9}+(-2+\cdots)q^{11}+\cdots\)
5376.2.a.bn \(4\) \(42.928\) 4.4.7232.1 None \(0\) \(-4\) \(4\) \(-4\) \(-\) \(q-q^{3}+(1+\beta _{1})q^{5}-q^{7}+q^{9}+(-\beta _{1}+\cdots)q^{11}+\cdots\)
5376.2.a.bo \(4\) \(42.928\) 4.4.7232.1 None \(0\) \(4\) \(-4\) \(-4\) \(+\) \(q+q^{3}+(-1-\beta _{1})q^{5}-q^{7}+q^{9}+(\beta _{1}+\cdots)q^{11}+\cdots\)
5376.2.a.bp \(4\) \(42.928\) 4.4.19664.1 None \(0\) \(4\) \(-2\) \(-4\) \(-\) \(q+q^{3}+(-1-\beta _{3})q^{5}-q^{7}+q^{9}+(2+\cdots)q^{11}+\cdots\)
5376.2.a.bq \(4\) \(42.928\) 4.4.19664.1 None \(0\) \(4\) \(2\) \(4\) \(-\) \(q+q^{3}+(1+\beta _{3})q^{5}+q^{7}+q^{9}+(2+\beta _{2}+\cdots)q^{11}+\cdots\)
5376.2.a.br \(4\) \(42.928\) 4.4.7232.1 None \(0\) \(4\) \(4\) \(4\) \(-\) \(q+q^{3}+(1+\beta _{1})q^{5}+q^{7}+q^{9}+(\beta _{1}+\cdots)q^{11}+\cdots\)
5376.2.c.a \(2\) \(42.928\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(-2\) \(q+iq^{3}+4iq^{5}-q^{7}-q^{9}-6iq^{11}+\cdots\)
5376.2.c.b \(2\) \(42.928\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(-2\) \(q+iq^{3}+4iq^{5}-q^{7}-q^{9}+2iq^{11}+\cdots\)
5376.2.c.c \(2\) \(42.928\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(-2\) \(q+iq^{3}+2iq^{5}-q^{7}-q^{9}+4iq^{11}+\cdots\)
5376.2.c.d \(2\) \(42.928\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(-2\) \(q+iq^{3}+2iq^{5}-q^{7}-q^{9}-6iq^{13}+\cdots\)
5376.2.c.e \(2\) \(42.928\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(-2\) \(q+iq^{3}+2iq^{5}-q^{7}-q^{9}-4iq^{11}+\cdots\)
5376.2.c.f \(2\) \(42.928\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(-2\) \(q+iq^{3}+2iq^{5}-q^{7}-q^{9}+2iq^{13}+\cdots\)
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