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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
3330.2.a.a \(1\) \(26.590\) \(\Q\) None \(-1\) \(0\) \(-1\) \(-3\) \(+\) \(q-q^{2}+q^{4}-q^{5}-3q^{7}-q^{8}+q^{10}+\cdots\)
3330.2.a.b \(1\) \(26.590\) \(\Q\) None \(-1\) \(0\) \(-1\) \(-3\) \(-\) \(q-q^{2}+q^{4}-q^{5}-3q^{7}-q^{8}+q^{10}+\cdots\)
3330.2.a.c \(1\) \(26.590\) \(\Q\) None \(-1\) \(0\) \(-1\) \(0\) \(+\) \(q-q^{2}+q^{4}-q^{5}-q^{8}+q^{10}-4q^{11}+\cdots\)
3330.2.a.d \(1\) \(26.590\) \(\Q\) None \(-1\) \(0\) \(-1\) \(2\) \(+\) \(q-q^{2}+q^{4}-q^{5}+2q^{7}-q^{8}+q^{10}+\cdots\)
3330.2.a.e \(1\) \(26.590\) \(\Q\) None \(-1\) \(0\) \(-1\) \(3\) \(+\) \(q-q^{2}+q^{4}-q^{5}+3q^{7}-q^{8}+q^{10}+\cdots\)
3330.2.a.f \(1\) \(26.590\) \(\Q\) None \(-1\) \(0\) \(1\) \(-5\) \(+\) \(q-q^{2}+q^{4}+q^{5}-5q^{7}-q^{8}-q^{10}+\cdots\)
3330.2.a.g \(1\) \(26.590\) \(\Q\) None \(-1\) \(0\) \(1\) \(-3\) \(+\) \(q-q^{2}+q^{4}+q^{5}-3q^{7}-q^{8}-q^{10}+\cdots\)
3330.2.a.h \(1\) \(26.590\) \(\Q\) None \(-1\) \(0\) \(1\) \(-1\) \(-\) \(q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots\)
3330.2.a.i \(1\) \(26.590\) \(\Q\) None \(-1\) \(0\) \(1\) \(0\) \(+\) \(q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}-2q^{11}+\cdots\)
3330.2.a.j \(1\) \(26.590\) \(\Q\) None \(-1\) \(0\) \(1\) \(0\) \(+\) \(q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}+2q^{11}+\cdots\)
3330.2.a.k \(1\) \(26.590\) \(\Q\) None \(-1\) \(0\) \(1\) \(4\) \(-\) \(q-q^{2}+q^{4}+q^{5}+4q^{7}-q^{8}-q^{10}+\cdots\)
3330.2.a.l \(1\) \(26.590\) \(\Q\) None \(-1\) \(0\) \(1\) \(4\) \(-\) \(q-q^{2}+q^{4}+q^{5}+4q^{7}-q^{8}-q^{10}+\cdots\)
3330.2.a.m \(1\) \(26.590\) \(\Q\) None \(1\) \(0\) \(-1\) \(-4\) \(-\) \(q+q^{2}+q^{4}-q^{5}-4q^{7}+q^{8}-q^{10}+\cdots\)
3330.2.a.n \(1\) \(26.590\) \(\Q\) None \(1\) \(0\) \(-1\) \(-3\) \(+\) \(q+q^{2}+q^{4}-q^{5}-3q^{7}+q^{8}-q^{10}+\cdots\)
3330.2.a.o \(1\) \(26.590\) \(\Q\) None \(1\) \(0\) \(-1\) \(0\) \(+\) \(q+q^{2}+q^{4}-q^{5}+q^{8}-q^{10}+2q^{11}+\cdots\)
3330.2.a.p \(1\) \(26.590\) \(\Q\) None \(1\) \(0\) \(-1\) \(1\) \(+\) \(q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-q^{10}+\cdots\)
3330.2.a.q \(1\) \(26.590\) \(\Q\) None \(1\) \(0\) \(-1\) \(3\) \(-\) \(q+q^{2}+q^{4}-q^{5}+3q^{7}+q^{8}-q^{10}+\cdots\)
3330.2.a.r \(1\) \(26.590\) \(\Q\) None \(1\) \(0\) \(-1\) \(4\) \(-\) \(q+q^{2}+q^{4}-q^{5}+4q^{7}+q^{8}-q^{10}+\cdots\)
3330.2.a.s \(1\) \(26.590\) \(\Q\) None \(1\) \(0\) \(1\) \(-4\) \(-\) \(q+q^{2}+q^{4}+q^{5}-4q^{7}+q^{8}+q^{10}+\cdots\)
3330.2.a.t \(1\) \(26.590\) \(\Q\) None \(1\) \(0\) \(1\) \(-3\) \(+\) \(q+q^{2}+q^{4}+q^{5}-3q^{7}+q^{8}+q^{10}+\cdots\)
3330.2.a.u \(1\) \(26.590\) \(\Q\) None \(1\) \(0\) \(1\) \(-1\) \(+\) \(q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}+q^{10}+\cdots\)
3330.2.a.v \(1\) \(26.590\) \(\Q\) None \(1\) \(0\) \(1\) \(-1\) \(+\) \(q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}+q^{10}+\cdots\)
3330.2.a.w \(1\) \(26.590\) \(\Q\) None \(1\) \(0\) \(1\) \(0\) \(-\) \(q+q^{2}+q^{4}+q^{5}+q^{8}+q^{10}+4q^{11}+\cdots\)
3330.2.a.x \(1\) \(26.590\) \(\Q\) None \(1\) \(0\) \(1\) \(1\) \(-\) \(q+q^{2}+q^{4}+q^{5}+q^{7}+q^{8}+q^{10}+\cdots\)
3330.2.a.y \(1\) \(26.590\) \(\Q\) None \(1\) \(0\) \(1\) \(1\) \(-\) \(q+q^{2}+q^{4}+q^{5}+q^{7}+q^{8}+q^{10}+\cdots\)
3330.2.a.z \(1\) \(26.590\) \(\Q\) None \(1\) \(0\) \(1\) \(3\) \(-\) \(q+q^{2}+q^{4}+q^{5}+3q^{7}+q^{8}+q^{10}+\cdots\)
3330.2.a.ba \(1\) \(26.590\) \(\Q\) None \(1\) \(0\) \(1\) \(4\) \(-\) \(q+q^{2}+q^{4}+q^{5}+4q^{7}+q^{8}+q^{10}+\cdots\)
3330.2.a.bb \(2\) \(26.590\) \(\Q(\sqrt{33}) \) None \(-2\) \(0\) \(-2\) \(-3\) \(+\) \(q-q^{2}+q^{4}-q^{5}+(-1-\beta )q^{7}-q^{8}+\cdots\)
3330.2.a.bc \(2\) \(26.590\) \(\Q(\sqrt{17}) \) None \(-2\) \(0\) \(2\) \(-2\) \(-\) \(q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots\)
3330.2.a.bd \(2\) \(26.590\) \(\Q(\sqrt{3}) \) None \(2\) \(0\) \(-2\) \(-6\) \(-\) \(q+q^{2}+q^{4}-q^{5}+(-3+\beta )q^{7}+q^{8}+\cdots\)
3330.2.a.be \(2\) \(26.590\) \(\Q(\sqrt{33}) \) None \(2\) \(0\) \(-2\) \(-1\) \(+\) \(q+q^{2}+q^{4}-q^{5}-\beta q^{7}+q^{8}-q^{10}+\cdots\)
3330.2.a.bf \(2\) \(26.590\) \(\Q(\sqrt{113}) \) None \(2\) \(0\) \(-2\) \(6\) \(-\) \(q+q^{2}+q^{4}-q^{5}+3q^{7}+q^{8}-q^{10}+\cdots\)
3330.2.a.bg \(3\) \(26.590\) 3.3.892.1 None \(-3\) \(0\) \(3\) \(-1\) \(+\) \(q-q^{2}+q^{4}+q^{5}-\beta _{1}q^{7}-q^{8}-q^{10}+\cdots\)
3330.2.a.bh \(3\) \(26.590\) 3.3.316.1 None \(-3\) \(0\) \(3\) \(-1\) \(-\) \(q-q^{2}+q^{4}+q^{5}+(-1+2\beta _{1})q^{7}+\cdots\)
3330.2.a.bi \(3\) \(26.590\) 3.3.316.1 None \(3\) \(0\) \(-3\) \(-1\) \(-\) \(q+q^{2}+q^{4}-q^{5}+(-1+2\beta _{1})q^{7}+\cdots\)
3330.2.a.bj \(4\) \(26.590\) 4.4.54764.1 None \(-4\) \(0\) \(-4\) \(4\) \(-\) \(q-q^{2}+q^{4}-q^{5}+(1+\beta _{2})q^{7}-q^{8}+\cdots\)
3330.2.a.bk \(5\) \(26.590\) 5.5.23544108.1 None \(-5\) \(0\) \(-5\) \(3\) \(-\) \(q-q^{2}+q^{4}-q^{5}+(1+\beta _{4})q^{7}-q^{8}+\cdots\)
3330.2.a.bl \(5\) \(26.590\) 5.5.23544108.1 None \(5\) \(0\) \(5\) \(3\) \(-\) \(q+q^{2}+q^{4}+q^{5}+(1+\beta _{4})q^{7}+q^{8}+\cdots\)
3330.2.d.a \(2\) \(26.590\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-4\) \(0\) \(q+iq^{2}-q^{4}+(-2+i)q^{5}+2iq^{7}+\cdots\)
3330.2.d.b \(2\) \(26.590\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-4\) \(0\) \(q-iq^{2}-q^{4}+(-2+i)q^{5}+2iq^{7}+\cdots\)
3330.2.d.c \(2\) \(26.590\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-2\) \(0\) \(q-iq^{2}-q^{4}+(-1-2i)q^{5}+iq^{7}+\cdots\)
3330.2.d.d \(2\) \(26.590\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-2\) \(0\) \(q-iq^{2}-q^{4}+(-1+2i)q^{5}+iq^{7}+\cdots\)
3330.2.d.e \(2\) \(26.590\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(2\) \(0\) \(q+iq^{2}-q^{4}+(1-2i)q^{5}+5iq^{7}+\cdots\)
3330.2.d.f \(2\) \(26.590\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(4\) \(0\) \(q+iq^{2}-q^{4}+(2-i)q^{5}+2iq^{7}-iq^{8}+\cdots\)
3330.2.d.g \(2\) \(26.590\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(4\) \(0\) \(q-iq^{2}-q^{4}+(2+i)q^{5}+2iq^{7}+iq^{8}+\cdots\)
3330.2.d.h \(4\) \(26.590\) \(\Q(i, \sqrt{6})\) None \(0\) \(0\) \(-4\) \(0\) \(q-\beta _{2}q^{2}-q^{4}+(-1-\beta _{2}-\beta _{3})q^{5}+\cdots\)
3330.2.d.i \(4\) \(26.590\) \(\Q(\zeta_{12})\) None \(0\) \(0\) \(-4\) \(0\) \(q+\zeta_{12}q^{2}-q^{4}+(-1-2\zeta_{12})q^{5}+\cdots\)
3330.2.d.j \(4\) \(26.590\) \(\Q(i, \sqrt{5})\) None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{2}-q^{4}-\beta _{2}q^{5}-2\beta _{1}q^{7}-\beta _{1}q^{8}+\cdots\)
3330.2.d.k \(4\) \(26.590\) \(\Q(\zeta_{8})\) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}^{2}q^{2}-q^{4}+(\zeta_{8}+2\zeta_{8}^{3})q^{5}+(\zeta_{8}+\cdots)q^{7}+\cdots\)
3330.2.d.l \(4\) \(26.590\) \(\Q(\zeta_{12})\) None \(0\) \(0\) \(4\) \(0\) \(q-\zeta_{12}q^{2}-q^{4}+(1+2\zeta_{12})q^{5}+(\zeta_{12}+\cdots)q^{7}+\cdots\)
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