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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
4080.2.a.a \(1\) \(32.579\) \(\Q\) None \(0\) \(-1\) \(-1\) \(-5\) \(+\) \(q-q^{3}-q^{5}-5q^{7}+q^{9}-3q^{11}+2q^{13}+\cdots\)
4080.2.a.b \(1\) \(32.579\) \(\Q\) None \(0\) \(-1\) \(-1\) \(-1\) \(+\) \(q-q^{3}-q^{5}-q^{7}+q^{9}-5q^{11}+2q^{13}+\cdots\)
4080.2.a.c \(1\) \(32.579\) \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) \(+\) \(q-q^{3}-q^{5}+q^{9}-4q^{11}+2q^{13}+\cdots\)
4080.2.a.d \(1\) \(32.579\) \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) \(+\) \(q-q^{3}-q^{5}+q^{9}+2q^{11}+2q^{13}+\cdots\)
4080.2.a.e \(1\) \(32.579\) \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) \(+\) \(q-q^{3}-q^{5}+q^{9}+4q^{11}-2q^{13}+\cdots\)
4080.2.a.f \(1\) \(32.579\) \(\Q\) None \(0\) \(-1\) \(-1\) \(1\) \(-\) \(q-q^{3}-q^{5}+q^{7}+q^{9}+3q^{11}-4q^{13}+\cdots\)
4080.2.a.g \(1\) \(32.579\) \(\Q\) None \(0\) \(-1\) \(-1\) \(1\) \(-\) \(q-q^{3}-q^{5}+q^{7}+q^{9}+5q^{11}+4q^{13}+\cdots\)
4080.2.a.h \(1\) \(32.579\) \(\Q\) None \(0\) \(-1\) \(-1\) \(3\) \(+\) \(q-q^{3}-q^{5}+3q^{7}+q^{9}-5q^{11}-2q^{13}+\cdots\)
4080.2.a.i \(1\) \(32.579\) \(\Q\) None \(0\) \(-1\) \(-1\) \(4\) \(+\) \(q-q^{3}-q^{5}+4q^{7}+q^{9}+2q^{13}+q^{15}+\cdots\)
4080.2.a.j \(1\) \(32.579\) \(\Q\) None \(0\) \(-1\) \(1\) \(-3\) \(-\) \(q-q^{3}+q^{5}-3q^{7}+q^{9}-5q^{11}-q^{15}+\cdots\)
4080.2.a.k \(1\) \(32.579\) \(\Q\) None \(0\) \(-1\) \(1\) \(-2\) \(+\) \(q-q^{3}+q^{5}-2q^{7}+q^{9}-4q^{11}+4q^{13}+\cdots\)
4080.2.a.l \(1\) \(32.579\) \(\Q\) None \(0\) \(-1\) \(1\) \(-2\) \(+\) \(q-q^{3}+q^{5}-2q^{7}+q^{9}-4q^{13}-q^{15}+\cdots\)
4080.2.a.m \(1\) \(32.579\) \(\Q\) None \(0\) \(-1\) \(1\) \(1\) \(-\) \(q-q^{3}+q^{5}+q^{7}+q^{9}+3q^{11}-4q^{13}+\cdots\)
4080.2.a.n \(1\) \(32.579\) \(\Q\) None \(0\) \(-1\) \(1\) \(2\) \(-\) \(q-q^{3}+q^{5}+2q^{7}+q^{9}-4q^{11}-q^{15}+\cdots\)
4080.2.a.o \(1\) \(32.579\) \(\Q\) None \(0\) \(-1\) \(1\) \(2\) \(-\) \(q-q^{3}+q^{5}+2q^{7}+q^{9}-q^{15}-q^{17}+\cdots\)
4080.2.a.p \(1\) \(32.579\) \(\Q\) None \(0\) \(-1\) \(1\) \(3\) \(+\) \(q-q^{3}+q^{5}+3q^{7}+q^{9}+q^{11}-6q^{13}+\cdots\)
4080.2.a.q \(1\) \(32.579\) \(\Q\) None \(0\) \(-1\) \(1\) \(5\) \(-\) \(q-q^{3}+q^{5}+5q^{7}+q^{9}+5q^{11}-q^{15}+\cdots\)
4080.2.a.r \(1\) \(32.579\) \(\Q\) None \(0\) \(1\) \(-1\) \(-2\) \(+\) \(q+q^{3}-q^{5}-2q^{7}+q^{9}+4q^{13}-q^{15}+\cdots\)
4080.2.a.s \(1\) \(32.579\) \(\Q\) None \(0\) \(1\) \(-1\) \(-2\) \(-\) \(q+q^{3}-q^{5}-2q^{7}+q^{9}+4q^{11}+4q^{13}+\cdots\)
4080.2.a.t \(1\) \(32.579\) \(\Q\) None \(0\) \(1\) \(-1\) \(0\) \(-\) \(q+q^{3}-q^{5}+q^{9}-2q^{13}-q^{15}-q^{17}+\cdots\)
4080.2.a.u \(1\) \(32.579\) \(\Q\) None \(0\) \(1\) \(-1\) \(0\) \(-\) \(q+q^{3}-q^{5}+q^{9}+4q^{11}+6q^{13}+\cdots\)
4080.2.a.v \(1\) \(32.579\) \(\Q\) None \(0\) \(1\) \(-1\) \(1\) \(+\) \(q+q^{3}-q^{5}+q^{7}+q^{9}-3q^{11}-2q^{13}+\cdots\)
4080.2.a.w \(1\) \(32.579\) \(\Q\) None \(0\) \(1\) \(-1\) \(3\) \(-\) \(q+q^{3}-q^{5}+3q^{7}+q^{9}-3q^{11}+4q^{13}+\cdots\)
4080.2.a.x \(1\) \(32.579\) \(\Q\) None \(0\) \(1\) \(-1\) \(4\) \(-\) \(q+q^{3}-q^{5}+4q^{7}+q^{9}+4q^{11}-2q^{13}+\cdots\)
4080.2.a.y \(1\) \(32.579\) \(\Q\) None \(0\) \(1\) \(1\) \(-3\) \(+\) \(q+q^{3}+q^{5}-3q^{7}+q^{9}-q^{11}-2q^{13}+\cdots\)
4080.2.a.z \(1\) \(32.579\) \(\Q\) None \(0\) \(1\) \(1\) \(-3\) \(+\) \(q+q^{3}+q^{5}-3q^{7}+q^{9}+q^{11}-6q^{13}+\cdots\)
4080.2.a.ba \(1\) \(32.579\) \(\Q\) None \(0\) \(1\) \(1\) \(0\) \(+\) \(q+q^{3}+q^{5}+q^{9}-4q^{11}-2q^{13}+\cdots\)
4080.2.a.bb \(1\) \(32.579\) \(\Q\) None \(0\) \(1\) \(1\) \(0\) \(-\) \(q+q^{3}+q^{5}+q^{9}-2q^{13}+q^{15}+q^{17}+\cdots\)
4080.2.a.bc \(1\) \(32.579\) \(\Q\) None \(0\) \(1\) \(1\) \(0\) \(-\) \(q+q^{3}+q^{5}+q^{9}+6q^{11}+2q^{13}+\cdots\)
4080.2.a.bd \(1\) \(32.579\) \(\Q\) None \(0\) \(1\) \(1\) \(3\) \(-\) \(q+q^{3}+q^{5}+3q^{7}+q^{9}-3q^{11}-4q^{13}+\cdots\)
4080.2.a.be \(1\) \(32.579\) \(\Q\) None \(0\) \(1\) \(1\) \(3\) \(-\) \(q+q^{3}+q^{5}+3q^{7}+q^{9}+3q^{11}+4q^{13}+\cdots\)
4080.2.a.bf \(1\) \(32.579\) \(\Q\) None \(0\) \(1\) \(1\) \(4\) \(-\) \(q+q^{3}+q^{5}+4q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots\)
4080.2.a.bg \(2\) \(32.579\) \(\Q(\sqrt{17}) \) None \(0\) \(-2\) \(-2\) \(1\) \(-\) \(q-q^{3}-q^{5}+\beta q^{7}+q^{9}+\beta q^{11}+(-2+\cdots)q^{13}+\cdots\)
4080.2.a.bh \(2\) \(32.579\) \(\Q(\sqrt{33}) \) None \(0\) \(-2\) \(2\) \(-1\) \(+\) \(q-q^{3}+q^{5}-\beta q^{7}+q^{9}+(-2+\beta )q^{11}+\cdots\)
4080.2.a.bi \(2\) \(32.579\) \(\Q(\sqrt{33}) \) None \(0\) \(-2\) \(2\) \(-1\) \(+\) \(q-q^{3}+q^{5}-\beta q^{7}+q^{9}+\beta q^{11}-2q^{13}+\cdots\)
4080.2.a.bj \(2\) \(32.579\) \(\Q(\sqrt{17}) \) None \(0\) \(2\) \(-2\) \(-5\) \(+\) \(q+q^{3}-q^{5}+(-2-\beta )q^{7}+q^{9}-\beta q^{11}+\cdots\)
4080.2.a.bk \(2\) \(32.579\) \(\Q(\sqrt{33}) \) None \(0\) \(2\) \(-2\) \(-1\) \(-\) \(q+q^{3}-q^{5}-\beta q^{7}+q^{9}+(2+\beta )q^{11}+\cdots\)
4080.2.a.bl \(2\) \(32.579\) \(\Q(\sqrt{13}) \) None \(0\) \(2\) \(-2\) \(0\) \(-\) \(q+q^{3}-q^{5}-\beta q^{7}+q^{9}-5q^{11}+(-3+\cdots)q^{13}+\cdots\)
4080.2.a.bm \(2\) \(32.579\) \(\Q(\sqrt{73}) \) None \(0\) \(2\) \(-2\) \(1\) \(-\) \(q+q^{3}-q^{5}+\beta q^{7}+q^{9}+(-2+\beta )q^{11}+\cdots\)
4080.2.a.bn \(2\) \(32.579\) \(\Q(\sqrt{17}) \) None \(0\) \(2\) \(-2\) \(1\) \(+\) \(q+q^{3}-q^{5}+\beta q^{7}+q^{9}-\beta q^{11}-2q^{13}+\cdots\)
4080.2.a.bo \(2\) \(32.579\) \(\Q(\sqrt{33}) \) None \(0\) \(2\) \(2\) \(-1\) \(-\) \(q+q^{3}+q^{5}-\beta q^{7}+q^{9}+(4-\beta )q^{11}+\cdots\)
4080.2.a.bp \(2\) \(32.579\) \(\Q(\sqrt{5}) \) None \(0\) \(2\) \(2\) \(0\) \(-\) \(q+q^{3}+q^{5}-\beta q^{7}+q^{9}+(-1-2\beta )q^{11}+\cdots\)
4080.2.a.bq \(2\) \(32.579\) \(\Q(\sqrt{6}) \) None \(0\) \(2\) \(2\) \(0\) \(-\) \(q+q^{3}+q^{5}+\beta q^{7}+q^{9}+(2+\beta )q^{13}+\cdots\)
4080.2.a.br \(3\) \(32.579\) 3.3.229.1 None \(0\) \(-3\) \(3\) \(-4\) \(-\) \(q-q^{3}+q^{5}+(-1+\beta _{2})q^{7}+q^{9}+(1+\cdots)q^{11}+\cdots\)
4080.2.a.bs \(3\) \(32.579\) 3.3.316.1 None \(0\) \(3\) \(3\) \(-3\) \(+\) \(q+q^{3}+q^{5}+(-1-\beta _{1})q^{7}+q^{9}+(-2+\cdots)q^{11}+\cdots\)
4080.2.a.bt \(4\) \(32.579\) 4.4.13768.1 None \(0\) \(-4\) \(-4\) \(-4\) \(-\) \(q-q^{3}-q^{5}+(-1-\beta _{1})q^{7}+q^{9}-\beta _{3}q^{11}+\cdots\)
4080.2.h.a \(2\) \(32.579\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-iq^{3}-iq^{5}-q^{9}+2iq^{11}-6q^{13}+\cdots\)
4080.2.h.b \(2\) \(32.579\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+iq^{3}+iq^{5}+4iq^{7}-q^{9}-4iq^{11}+\cdots\)
4080.2.h.c \(2\) \(32.579\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-iq^{3}-iq^{5}+4iq^{7}-q^{9}-2q^{13}+\cdots\)
4080.2.h.d \(2\) \(32.579\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+iq^{3}+iq^{5}+2iq^{7}-q^{9}-2q^{13}+\cdots\)
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