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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
4560.2.a.a \(1\) \(36.412\) \(\Q\) None \(0\) \(-1\) \(-1\) \(-4\) \(+\) \(q-q^{3}-q^{5}-4q^{7}+q^{9}+2q^{13}+q^{15}+\cdots\)
4560.2.a.b \(1\) \(36.412\) \(\Q\) None \(0\) \(-1\) \(-1\) \(-2\) \(-\) \(q-q^{3}-q^{5}-2q^{7}+q^{9}-6q^{11}-4q^{13}+\cdots\)
4560.2.a.c \(1\) \(36.412\) \(\Q\) None \(0\) \(-1\) \(-1\) \(-2\) \(-\) \(q-q^{3}-q^{5}-2q^{7}+q^{9}-4q^{13}+q^{15}+\cdots\)
4560.2.a.d \(1\) \(36.412\) \(\Q\) None \(0\) \(-1\) \(-1\) \(-2\) \(-\) \(q-q^{3}-q^{5}-2q^{7}+q^{9}+4q^{11}+6q^{13}+\cdots\)
4560.2.a.e \(1\) \(36.412\) \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) \(+\) \(q-q^{3}-q^{5}+q^{9}+4q^{11}-2q^{13}+\cdots\)
4560.2.a.f \(1\) \(36.412\) \(\Q\) None \(0\) \(-1\) \(-1\) \(2\) \(+\) \(q-q^{3}-q^{5}+2q^{7}+q^{9}-4q^{13}+q^{15}+\cdots\)
4560.2.a.g \(1\) \(36.412\) \(\Q\) None \(0\) \(-1\) \(-1\) \(2\) \(+\) \(q-q^{3}-q^{5}+2q^{7}+q^{9}+4q^{11}-2q^{13}+\cdots\)
4560.2.a.h \(1\) \(36.412\) \(\Q\) None \(0\) \(-1\) \(-1\) \(2\) \(-\) \(q-q^{3}-q^{5}+2q^{7}+q^{9}+6q^{11}+q^{15}+\cdots\)
4560.2.a.i \(1\) \(36.412\) \(\Q\) None \(0\) \(-1\) \(-1\) \(4\) \(-\) \(q-q^{3}-q^{5}+4q^{7}+q^{9}-2q^{11}+6q^{13}+\cdots\)
4560.2.a.j \(1\) \(36.412\) \(\Q\) None \(0\) \(-1\) \(1\) \(-4\) \(+\) \(q-q^{3}+q^{5}-4q^{7}+q^{9}+2q^{13}-q^{15}+\cdots\)
4560.2.a.k \(1\) \(36.412\) \(\Q\) None \(0\) \(-1\) \(1\) \(-4\) \(-\) \(q-q^{3}+q^{5}-4q^{7}+q^{9}+4q^{11}-2q^{13}+\cdots\)
4560.2.a.l \(1\) \(36.412\) \(\Q\) None \(0\) \(-1\) \(1\) \(-4\) \(-\) \(q-q^{3}+q^{5}-4q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots\)
4560.2.a.m \(1\) \(36.412\) \(\Q\) None \(0\) \(-1\) \(1\) \(-2\) \(+\) \(q-q^{3}+q^{5}-2q^{7}+q^{9}+2q^{13}-q^{15}+\cdots\)
4560.2.a.n \(1\) \(36.412\) \(\Q\) None \(0\) \(-1\) \(1\) \(0\) \(+\) \(q-q^{3}+q^{5}+q^{9}-4q^{11}-2q^{13}+\cdots\)
4560.2.a.o \(1\) \(36.412\) \(\Q\) None \(0\) \(-1\) \(1\) \(2\) \(-\) \(q-q^{3}+q^{5}+2q^{7}+q^{9}-2q^{11}+4q^{13}+\cdots\)
4560.2.a.p \(1\) \(36.412\) \(\Q\) None \(0\) \(-1\) \(1\) \(2\) \(+\) \(q-q^{3}+q^{5}+2q^{7}+q^{9}+2q^{11}-4q^{13}+\cdots\)
4560.2.a.q \(1\) \(36.412\) \(\Q\) None \(0\) \(-1\) \(1\) \(4\) \(-\) \(q-q^{3}+q^{5}+4q^{7}+q^{9}+4q^{11}-6q^{13}+\cdots\)
4560.2.a.r \(1\) \(36.412\) \(\Q\) None \(0\) \(1\) \(-1\) \(-2\) \(-\) \(q+q^{3}-q^{5}-2q^{7}+q^{9}+6q^{11}-q^{15}+\cdots\)
4560.2.a.s \(1\) \(36.412\) \(\Q\) None \(0\) \(1\) \(-1\) \(0\) \(-\) \(q+q^{3}-q^{5}+q^{9}-4q^{11}+2q^{13}+\cdots\)
4560.2.a.t \(1\) \(36.412\) \(\Q\) None \(0\) \(1\) \(-1\) \(2\) \(+\) \(q+q^{3}-q^{5}+2q^{7}+q^{9}-4q^{11}-6q^{13}+\cdots\)
4560.2.a.u \(1\) \(36.412\) \(\Q\) None \(0\) \(1\) \(-1\) \(2\) \(+\) \(q+q^{3}-q^{5}+2q^{7}+q^{9}-4q^{11}-q^{15}+\cdots\)
4560.2.a.v \(1\) \(36.412\) \(\Q\) None \(0\) \(1\) \(-1\) \(2\) \(-\) \(q+q^{3}-q^{5}+2q^{7}+q^{9}+2q^{11}-4q^{13}+\cdots\)
4560.2.a.w \(1\) \(36.412\) \(\Q\) None \(0\) \(1\) \(1\) \(-4\) \(+\) \(q+q^{3}+q^{5}-4q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots\)
4560.2.a.x \(1\) \(36.412\) \(\Q\) None \(0\) \(1\) \(1\) \(-4\) \(-\) \(q+q^{3}+q^{5}-4q^{7}+q^{9}-6q^{13}+q^{15}+\cdots\)
4560.2.a.y \(1\) \(36.412\) \(\Q\) None \(0\) \(1\) \(1\) \(-2\) \(+\) \(q+q^{3}+q^{5}-2q^{7}+q^{9}-6q^{11}+4q^{13}+\cdots\)
4560.2.a.z \(1\) \(36.412\) \(\Q\) None \(0\) \(1\) \(1\) \(-2\) \(+\) \(q+q^{3}+q^{5}-2q^{7}+q^{9}-2q^{13}+q^{15}+\cdots\)
4560.2.a.ba \(1\) \(36.412\) \(\Q\) None \(0\) \(1\) \(1\) \(0\) \(-\) \(q+q^{3}+q^{5}+q^{9}-4q^{11}+2q^{13}+\cdots\)
4560.2.a.bb \(1\) \(36.412\) \(\Q\) None \(0\) \(1\) \(1\) \(0\) \(+\) \(q+q^{3}+q^{5}+q^{9}-2q^{13}+q^{15}-6q^{17}+\cdots\)
4560.2.a.bc \(1\) \(36.412\) \(\Q\) None \(0\) \(1\) \(1\) \(2\) \(-\) \(q+q^{3}+q^{5}+2q^{7}+q^{9}+6q^{13}+q^{15}+\cdots\)
4560.2.a.bd \(1\) \(36.412\) \(\Q\) None \(0\) \(1\) \(1\) \(2\) \(-\) \(q+q^{3}+q^{5}+2q^{7}+q^{9}+2q^{11}+q^{15}+\cdots\)
4560.2.a.be \(2\) \(36.412\) \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(-2\) \(-6\) \(+\) \(q-q^{3}-q^{5}+(-3-\beta )q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots\)
4560.2.a.bf \(2\) \(36.412\) \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(-2\) \(0\) \(+\) \(q-q^{3}-q^{5}+\beta q^{7}+q^{9}+(-2+3\beta )q^{11}+\cdots\)
4560.2.a.bg \(2\) \(36.412\) \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(-2\) \(4\) \(-\) \(q-q^{3}-q^{5}+(2+\beta )q^{7}+q^{9}+\beta q^{11}+\cdots\)
4560.2.a.bh \(2\) \(36.412\) \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(2\) \(2\) \(+\) \(q-q^{3}+q^{5}+(1+\beta )q^{7}+q^{9}+(-3+\cdots)q^{11}+\cdots\)
4560.2.a.bi \(2\) \(36.412\) \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(2\) \(6\) \(-\) \(q-q^{3}+q^{5}+(3+\beta )q^{7}+q^{9}+(1-3\beta )q^{11}+\cdots\)
4560.2.a.bj \(2\) \(36.412\) \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(-2\) \(-4\) \(+\) \(q+q^{3}-q^{5}+(-2+\beta )q^{7}+q^{9}-\beta q^{11}+\cdots\)
4560.2.a.bk \(2\) \(36.412\) \(\Q(\sqrt{5}) \) None \(0\) \(2\) \(-2\) \(-2\) \(+\) \(q+q^{3}-q^{5}+(-1-\beta )q^{7}+q^{9}+(1+\cdots)q^{11}+\cdots\)
4560.2.a.bl \(2\) \(36.412\) \(\Q(\sqrt{13}) \) None \(0\) \(2\) \(-2\) \(-2\) \(-\) \(q+q^{3}-q^{5}+(-1-\beta )q^{7}+q^{9}+(1+\cdots)q^{11}+\cdots\)
4560.2.a.bm \(2\) \(36.412\) \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(-2\) \(0\) \(+\) \(q+q^{3}-q^{5}+\beta q^{7}+q^{9}-\beta q^{11}+(-2+\cdots)q^{13}+\cdots\)
4560.2.a.bn \(2\) \(36.412\) \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(-2\) \(0\) \(-\) \(q+q^{3}-q^{5}+\beta q^{7}+q^{9}+(2+\beta )q^{11}+\cdots\)
4560.2.a.bo \(2\) \(36.412\) \(\Q(\sqrt{7}) \) None \(0\) \(2\) \(2\) \(2\) \(+\) \(q+q^{3}+q^{5}+(1+\beta )q^{7}+q^{9}+(-3+\cdots)q^{11}+\cdots\)
4560.2.a.bp \(2\) \(36.412\) \(\Q(\sqrt{7}) \) None \(0\) \(2\) \(2\) \(2\) \(-\) \(q+q^{3}+q^{5}+(1+\beta )q^{7}+q^{9}+(3+\beta )q^{11}+\cdots\)
4560.2.a.bq \(3\) \(36.412\) 3.3.1016.1 None \(0\) \(-3\) \(-3\) \(0\) \(-\) \(q-q^{3}-q^{5}-\beta _{2}q^{7}+q^{9}+(-1+\beta _{1}+\cdots)q^{11}+\cdots\)
4560.2.a.br \(3\) \(36.412\) 3.3.564.1 None \(0\) \(-3\) \(3\) \(-4\) \(-\) \(q-q^{3}+q^{5}+(-1+\beta _{2})q^{7}+q^{9}+(-2+\cdots)q^{11}+\cdots\)
4560.2.a.bs \(3\) \(36.412\) 3.3.1772.1 None \(0\) \(-3\) \(3\) \(0\) \(-\) \(q-q^{3}+q^{5}-\beta _{2}q^{7}+q^{9}+(-2-\beta _{2})q^{11}+\cdots\)
4560.2.a.bt \(3\) \(36.412\) 3.3.568.1 None \(0\) \(3\) \(-3\) \(2\) \(-\) \(q+q^{3}-q^{5}+(1+\beta _{2})q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots\)
4560.2.a.bu \(3\) \(36.412\) 3.3.1524.1 None \(0\) \(3\) \(3\) \(0\) \(-\) \(q+q^{3}+q^{5}+\beta _{1}q^{7}+q^{9}+(1+\beta _{2})q^{11}+\cdots\)
4560.2.a.bv \(3\) \(36.412\) 3.3.316.1 None \(0\) \(3\) \(3\) \(2\) \(-\) \(q+q^{3}+q^{5}+(1-\beta _{1})q^{7}+q^{9}+(1+\beta _{2})q^{11}+\cdots\)
4560.2.d.a \(2\) \(36.412\) \(\Q(\sqrt{-3}) \) None \(0\) \(-2\) \(-2\) \(0\) \(q-q^{3}-q^{5}-2\zeta_{6}q^{7}+q^{9}-2\zeta_{6}q^{11}+\cdots\)
4560.2.d.b \(2\) \(36.412\) \(\Q(\sqrt{-3}) \) None \(0\) \(-2\) \(2\) \(0\) \(q-q^{3}+q^{5}+q^{9}-2\zeta_{6}q^{11}-q^{15}+\cdots\)
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