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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
2366.2.a.a \(1\) \(18.893\) \(\Q\) None \(-1\) \(-2\) \(-3\) \(1\) \(-\) \(q-q^{2}-2q^{3}+q^{4}-3q^{5}+2q^{6}+q^{7}+\cdots\)
2366.2.a.b \(1\) \(18.893\) \(\Q\) None \(-1\) \(-2\) \(1\) \(-1\) \(+\) \(q-q^{2}-2q^{3}+q^{4}+q^{5}+2q^{6}-q^{7}+\cdots\)
2366.2.a.c \(1\) \(18.893\) \(\Q\) None \(-1\) \(-1\) \(-2\) \(1\) \(+\) \(q-q^{2}-q^{3}+q^{4}-2q^{5}+q^{6}+q^{7}+\cdots\)
2366.2.a.d \(1\) \(18.893\) \(\Q\) None \(-1\) \(0\) \(-2\) \(1\) \(-\) \(q-q^{2}+q^{4}-2q^{5}+q^{7}-q^{8}-3q^{9}+\cdots\)
2366.2.a.e \(1\) \(18.893\) \(\Q\) None \(-1\) \(1\) \(0\) \(-1\) \(+\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{7}-q^{8}+\cdots\)
2366.2.a.f \(1\) \(18.893\) \(\Q\) None \(-1\) \(1\) \(3\) \(1\) \(-\) \(q-q^{2}+q^{3}+q^{4}+3q^{5}-q^{6}+q^{7}+\cdots\)
2366.2.a.g \(1\) \(18.893\) \(\Q\) None \(-1\) \(3\) \(-3\) \(1\) \(-\) \(q-q^{2}+3q^{3}+q^{4}-3q^{5}-3q^{6}+q^{7}+\cdots\)
2366.2.a.h \(1\) \(18.893\) \(\Q\) None \(-1\) \(3\) \(4\) \(1\) \(-\) \(q-q^{2}+3q^{3}+q^{4}+4q^{5}-3q^{6}+q^{7}+\cdots\)
2366.2.a.i \(1\) \(18.893\) \(\Q\) None \(1\) \(-2\) \(-1\) \(1\) \(+\) \(q+q^{2}-2q^{3}+q^{4}-q^{5}-2q^{6}+q^{7}+\cdots\)
2366.2.a.j \(1\) \(18.893\) \(\Q\) None \(1\) \(-2\) \(0\) \(-1\) \(-\) \(q+q^{2}-2q^{3}+q^{4}-2q^{6}-q^{7}+q^{8}+\cdots\)
2366.2.a.k \(1\) \(18.893\) \(\Q\) None \(1\) \(-2\) \(3\) \(-1\) \(-\) \(q+q^{2}-2q^{3}+q^{4}+3q^{5}-2q^{6}-q^{7}+\cdots\)
2366.2.a.l \(1\) \(18.893\) \(\Q\) None \(1\) \(-1\) \(2\) \(-1\) \(+\) \(q+q^{2}-q^{3}+q^{4}+2q^{5}-q^{6}-q^{7}+\cdots\)
2366.2.a.m \(1\) \(18.893\) \(\Q\) None \(1\) \(1\) \(-4\) \(1\) \(+\) \(q+q^{2}+q^{3}+q^{4}-4q^{5}+q^{6}+q^{7}+\cdots\)
2366.2.a.n \(1\) \(18.893\) \(\Q\) None \(1\) \(1\) \(-3\) \(-1\) \(-\) \(q+q^{2}+q^{3}+q^{4}-3q^{5}+q^{6}-q^{7}+\cdots\)
2366.2.a.o \(1\) \(18.893\) \(\Q\) None \(1\) \(3\) \(0\) \(-1\) \(-\) \(q+q^{2}+3q^{3}+q^{4}+3q^{6}-q^{7}+q^{8}+\cdots\)
2366.2.a.p \(1\) \(18.893\) \(\Q\) None \(1\) \(3\) \(3\) \(-1\) \(-\) \(q+q^{2}+3q^{3}+q^{4}+3q^{5}+3q^{6}-q^{7}+\cdots\)
2366.2.a.q \(2\) \(18.893\) \(\Q(\sqrt{3}) \) None \(-2\) \(-2\) \(2\) \(2\) \(+\) \(q-q^{2}+(-1+\beta )q^{3}+q^{4}+q^{5}+(1+\cdots)q^{6}+\cdots\)
2366.2.a.r \(2\) \(18.893\) \(\Q(\sqrt{3}) \) None \(-2\) \(0\) \(-4\) \(2\) \(-\) \(q-q^{2}+\beta q^{3}+q^{4}+(-2-\beta )q^{5}-\beta q^{6}+\cdots\)
2366.2.a.s \(2\) \(18.893\) \(\Q(\sqrt{3}) \) None \(2\) \(-2\) \(-2\) \(-2\) \(+\) \(q+q^{2}+(-1+\beta )q^{3}+q^{4}-q^{5}+(-1+\cdots)q^{6}+\cdots\)
2366.2.a.t \(2\) \(18.893\) \(\Q(\sqrt{3}) \) None \(2\) \(0\) \(4\) \(-2\) \(-\) \(q+q^{2}+\beta q^{3}+q^{4}+(2+\beta )q^{5}+\beta q^{6}+\cdots\)
2366.2.a.u \(3\) \(18.893\) \(\Q(\zeta_{14})^+\) None \(-3\) \(-5\) \(-2\) \(3\) \(-\) \(q-q^{2}+(-2-\beta _{2})q^{3}+q^{4}-2\beta _{1}q^{5}+\cdots\)
2366.2.a.v \(3\) \(18.893\) \(\Q(\zeta_{14})^+\) None \(-3\) \(-4\) \(-2\) \(-3\) \(-\) \(q-q^{2}+(-1-\beta _{1})q^{3}+q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
2366.2.a.w \(3\) \(18.893\) \(\Q(\zeta_{14})^+\) None \(-3\) \(0\) \(8\) \(3\) \(-\) \(q-q^{2}+(-\beta _{1}-\beta _{2})q^{3}+q^{4}+(3+\beta _{2})q^{5}+\cdots\)
2366.2.a.x \(3\) \(18.893\) 3.3.1384.1 None \(-3\) \(1\) \(-2\) \(-3\) \(-\) \(q-q^{2}+\beta _{1}q^{3}+q^{4}+(-1+\beta _{2})q^{5}+\cdots\)
2366.2.a.y \(3\) \(18.893\) \(\Q(\zeta_{14})^+\) None \(-3\) \(2\) \(0\) \(3\) \(+\) \(q-q^{2}+(1-\beta _{1})q^{3}+q^{4}+(\beta _{1}+\beta _{2})q^{5}+\cdots\)
2366.2.a.z \(3\) \(18.893\) \(\Q(\zeta_{14})^+\) None \(3\) \(-5\) \(2\) \(-3\) \(+\) \(q+q^{2}+(-2-\beta _{2})q^{3}+q^{4}+2\beta _{1}q^{5}+\cdots\)
2366.2.a.ba \(3\) \(18.893\) \(\Q(\zeta_{14})^+\) None \(3\) \(-4\) \(2\) \(3\) \(+\) \(q+q^{2}+(-1-\beta _{1})q^{3}+q^{4}+(\beta _{1}-\beta _{2})q^{5}+\cdots\)
2366.2.a.bb \(3\) \(18.893\) \(\Q(\zeta_{14})^+\) None \(3\) \(0\) \(-8\) \(-3\) \(+\) \(q+q^{2}+(-\beta _{1}-\beta _{2})q^{3}+q^{4}+(-3+\cdots)q^{5}+\cdots\)
2366.2.a.bc \(3\) \(18.893\) 3.3.1384.1 None \(3\) \(1\) \(2\) \(3\) \(-\) \(q+q^{2}+\beta _{1}q^{3}+q^{4}+(1-\beta _{2})q^{5}+\beta _{1}q^{6}+\cdots\)
2366.2.a.bd \(3\) \(18.893\) \(\Q(\zeta_{14})^+\) None \(3\) \(2\) \(0\) \(-3\) \(-\) \(q+q^{2}+(1-\beta _{1})q^{3}+q^{4}+(-\beta _{1}-\beta _{2})q^{5}+\cdots\)
2366.2.a.be \(6\) \(18.893\) 6.6.6052921.1 None \(-6\) \(1\) \(-4\) \(-6\) \(+\) \(q-q^{2}+\beta _{1}q^{3}+q^{4}+(-1+\beta _{4})q^{5}+\cdots\)
2366.2.a.bf \(6\) \(18.893\) 6.6.285686784.1 None \(-6\) \(2\) \(2\) \(-6\) \(-\) \(q-q^{2}+\beta _{1}q^{3}+q^{4}+(1-\beta _{1}+\beta _{5})q^{5}+\cdots\)
2366.2.a.bg \(6\) \(18.893\) 6.6.6052921.1 None \(6\) \(1\) \(4\) \(6\) \(-\) \(q+q^{2}+\beta _{1}q^{3}+q^{4}+(1-\beta _{4})q^{5}+\beta _{1}q^{6}+\cdots\)
2366.2.a.bh \(6\) \(18.893\) 6.6.285686784.1 None \(6\) \(2\) \(-2\) \(6\) \(-\) \(q+q^{2}+\beta _{1}q^{3}+q^{4}+(-1+\beta _{1}-\beta _{5})q^{5}+\cdots\)
2366.2.d.a \(2\) \(18.893\) \(\Q(\sqrt{-1}) \) None \(0\) \(-4\) \(0\) \(0\) \(q-iq^{2}-2q^{3}-q^{4}-3iq^{5}+2iq^{6}+\cdots\)
2366.2.d.b \(2\) \(18.893\) \(\Q(\sqrt{-1}) \) None \(0\) \(-4\) \(0\) \(0\) \(q-iq^{2}-2q^{3}-q^{4}+2iq^{6}-iq^{7}+\cdots\)
2366.2.d.c \(2\) \(18.893\) \(\Q(\sqrt{-1}) \) None \(0\) \(-4\) \(0\) \(0\) \(q-iq^{2}-2q^{3}-q^{4}+iq^{5}+2iq^{6}+\cdots\)
2366.2.d.d \(2\) \(18.893\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-iq^{2}-q^{4}-2iq^{5}-iq^{7}+iq^{8}+\cdots\)
2366.2.d.e \(2\) \(18.893\) \(\Q(\sqrt{-1}) \) None \(0\) \(2\) \(0\) \(0\) \(q+iq^{2}+q^{3}-q^{4}+iq^{6}-iq^{7}-iq^{8}+\cdots\)
2366.2.d.f \(2\) \(18.893\) \(\Q(\sqrt{-1}) \) None \(0\) \(2\) \(0\) \(0\) \(q+iq^{2}+q^{3}-q^{4}-3iq^{5}+iq^{6}+\cdots\)
2366.2.d.g \(2\) \(18.893\) \(\Q(\sqrt{-1}) \) None \(0\) \(2\) \(0\) \(0\) \(q+iq^{2}+q^{3}-q^{4}-4iq^{5}+iq^{6}+\cdots\)
2366.2.d.h \(2\) \(18.893\) \(\Q(\sqrt{-1}) \) None \(0\) \(6\) \(0\) \(0\) \(q-iq^{2}+3q^{3}-q^{4}-3iq^{5}-3iq^{6}+\cdots\)
2366.2.d.i \(2\) \(18.893\) \(\Q(\sqrt{-1}) \) None \(0\) \(6\) \(0\) \(0\) \(q-iq^{2}+3q^{3}-q^{4}-3iq^{6}-iq^{7}+\cdots\)
2366.2.d.j \(2\) \(18.893\) \(\Q(\sqrt{-1}) \) None \(0\) \(6\) \(0\) \(0\) \(q-iq^{2}+3q^{3}-q^{4}+4iq^{5}-3iq^{6}+\cdots\)
2366.2.d.k \(4\) \(18.893\) \(\Q(\zeta_{12})\) None \(0\) \(-4\) \(0\) \(0\) \(q-\zeta_{12}q^{2}+(-1+\zeta_{12}^{3})q^{3}-q^{4}+\cdots\)
2366.2.d.l \(4\) \(18.893\) \(\Q(\zeta_{12})\) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}q^{2}-\zeta_{12}^{3}q^{3}-q^{4}+(2\zeta_{12}+\cdots)q^{5}+\cdots\)
2366.2.d.m \(6\) \(18.893\) 6.0.153664.1 None \(0\) \(-10\) \(0\) \(0\) \(q+\beta _{5}q^{2}+(-2+\beta _{4})q^{3}-q^{4}-2\beta _{3}q^{5}+\cdots\)
2366.2.d.n \(6\) \(18.893\) 6.0.153664.1 None \(0\) \(-8\) \(0\) \(0\) \(q+\beta _{5}q^{2}+(-1-\beta _{2})q^{3}-q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
2366.2.d.o \(6\) \(18.893\) 6.0.153664.1 None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{5}q^{2}+(-1+\beta _{2}+2\beta _{4})q^{3}-q^{4}+\cdots\)
2366.2.d.p \(6\) \(18.893\) 6.0.153664.1 None \(0\) \(4\) \(0\) \(0\) \(q-\beta _{5}q^{2}+(1-\beta _{4})q^{3}-q^{4}+(2\beta _{1}-\beta _{3}+\cdots)q^{5}+\cdots\)
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