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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
4368.2.a.a \(1\) \(34.879\) \(\Q\) None \(0\) \(-1\) \(-3\) \(-1\) \(+\) \(q-q^{3}-3q^{5}-q^{7}+q^{9}+2q^{11}-q^{13}+\cdots\)
4368.2.a.b \(1\) \(34.879\) \(\Q\) None \(0\) \(-1\) \(-2\) \(-1\) \(-\) \(q-q^{3}-2q^{5}-q^{7}+q^{9}+4q^{11}+q^{13}+\cdots\)
4368.2.a.c \(1\) \(34.879\) \(\Q\) None \(0\) \(-1\) \(-2\) \(1\) \(+\) \(q-q^{3}-2q^{5}+q^{7}+q^{9}-q^{13}+2q^{15}+\cdots\)
4368.2.a.d \(1\) \(34.879\) \(\Q\) None \(0\) \(-1\) \(-2\) \(1\) \(-\) \(q-q^{3}-2q^{5}+q^{7}+q^{9}+4q^{11}+q^{13}+\cdots\)
4368.2.a.e \(1\) \(34.879\) \(\Q\) None \(0\) \(-1\) \(-1\) \(-1\) \(-\) \(q-q^{3}-q^{5}-q^{7}+q^{9}-5q^{11}-q^{13}+\cdots\)
4368.2.a.f \(1\) \(34.879\) \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) \(+\) \(q-q^{3}-q^{7}+q^{9}+2q^{11}-q^{13}-6q^{17}+\cdots\)
4368.2.a.g \(1\) \(34.879\) \(\Q\) None \(0\) \(-1\) \(0\) \(1\) \(-\) \(q-q^{3}+q^{7}+q^{9}+2q^{11}-q^{13}-2q^{17}+\cdots\)
4368.2.a.h \(1\) \(34.879\) \(\Q\) None \(0\) \(-1\) \(1\) \(1\) \(+\) \(q-q^{3}+q^{5}+q^{7}+q^{9}-3q^{11}-q^{13}+\cdots\)
4368.2.a.i \(1\) \(34.879\) \(\Q\) None \(0\) \(-1\) \(1\) \(1\) \(+\) \(q-q^{3}+q^{5}+q^{7}+q^{9}+2q^{11}-q^{13}+\cdots\)
4368.2.a.j \(1\) \(34.879\) \(\Q\) None \(0\) \(-1\) \(2\) \(-1\) \(+\) \(q-q^{3}+2q^{5}-q^{7}+q^{9}-4q^{11}-q^{13}+\cdots\)
4368.2.a.k \(1\) \(34.879\) \(\Q\) None \(0\) \(-1\) \(2\) \(-1\) \(-\) \(q-q^{3}+2q^{5}-q^{7}+q^{9}+4q^{11}-q^{13}+\cdots\)
4368.2.a.l \(1\) \(34.879\) \(\Q\) None \(0\) \(-1\) \(3\) \(-1\) \(+\) \(q-q^{3}+3q^{5}-q^{7}+q^{9}-3q^{11}+q^{13}+\cdots\)
4368.2.a.m \(1\) \(34.879\) \(\Q\) None \(0\) \(1\) \(-3\) \(-1\) \(-\) \(q+q^{3}-3q^{5}-q^{7}+q^{9}-6q^{11}-q^{13}+\cdots\)
4368.2.a.n \(1\) \(34.879\) \(\Q\) None \(0\) \(1\) \(-3\) \(-1\) \(-\) \(q+q^{3}-3q^{5}-q^{7}+q^{9}+5q^{11}-q^{13}+\cdots\)
4368.2.a.o \(1\) \(34.879\) \(\Q\) None \(0\) \(1\) \(-2\) \(-1\) \(+\) \(q+q^{3}-2q^{5}-q^{7}+q^{9}-q^{13}-2q^{15}+\cdots\)
4368.2.a.p \(1\) \(34.879\) \(\Q\) None \(0\) \(1\) \(-2\) \(-1\) \(+\) \(q+q^{3}-2q^{5}-q^{7}+q^{9}+4q^{11}+q^{13}+\cdots\)
4368.2.a.q \(1\) \(34.879\) \(\Q\) None \(0\) \(1\) \(-1\) \(-1\) \(-\) \(q+q^{3}-q^{5}-q^{7}+q^{9}+2q^{11}+q^{13}+\cdots\)
4368.2.a.r \(1\) \(34.879\) \(\Q\) None \(0\) \(1\) \(-1\) \(1\) \(+\) \(q+q^{3}-q^{5}+q^{7}+q^{9}-2q^{11}+q^{13}+\cdots\)
4368.2.a.s \(1\) \(34.879\) \(\Q\) None \(0\) \(1\) \(-1\) \(1\) \(+\) \(q+q^{3}-q^{5}+q^{7}+q^{9}+q^{11}+q^{13}+\cdots\)
4368.2.a.t \(1\) \(34.879\) \(\Q\) None \(0\) \(1\) \(0\) \(1\) \(+\) \(q+q^{3}+q^{7}+q^{9}-2q^{11}-q^{13}-2q^{17}+\cdots\)
4368.2.a.u \(1\) \(34.879\) \(\Q\) None \(0\) \(1\) \(0\) \(1\) \(-\) \(q+q^{3}+q^{7}+q^{9}+2q^{11}-q^{13}+4q^{17}+\cdots\)
4368.2.a.v \(1\) \(34.879\) \(\Q\) None \(0\) \(1\) \(1\) \(-1\) \(+\) \(q+q^{3}+q^{5}-q^{7}+q^{9}-5q^{11}+q^{13}+\cdots\)
4368.2.a.w \(1\) \(34.879\) \(\Q\) None \(0\) \(1\) \(1\) \(-1\) \(+\) \(q+q^{3}+q^{5}-q^{7}+q^{9}+6q^{11}-q^{13}+\cdots\)
4368.2.a.x \(1\) \(34.879\) \(\Q\) None \(0\) \(1\) \(2\) \(-1\) \(-\) \(q+q^{3}+2q^{5}-q^{7}+q^{9}+4q^{11}-q^{13}+\cdots\)
4368.2.a.y \(1\) \(34.879\) \(\Q\) None \(0\) \(1\) \(2\) \(1\) \(-\) \(q+q^{3}+2q^{5}+q^{7}+q^{9}+q^{13}+2q^{15}+\cdots\)
4368.2.a.z \(1\) \(34.879\) \(\Q\) None \(0\) \(1\) \(3\) \(1\) \(-\) \(q+q^{3}+3q^{5}+q^{7}+q^{9}-q^{11}-q^{13}+\cdots\)
4368.2.a.ba \(1\) \(34.879\) \(\Q\) None \(0\) \(1\) \(4\) \(-1\) \(-\) \(q+q^{3}+4q^{5}-q^{7}+q^{9}-6q^{11}-q^{13}+\cdots\)
4368.2.a.bb \(2\) \(34.879\) \(\Q(\sqrt{17}) \) None \(0\) \(-2\) \(-3\) \(2\) \(+\) \(q-q^{3}+(-1-\beta )q^{5}+q^{7}+q^{9}+(2+\cdots)q^{11}+\cdots\)
4368.2.a.bc \(2\) \(34.879\) \(\Q(\sqrt{33}) \) None \(0\) \(-2\) \(1\) \(-2\) \(-\) \(q-q^{3}+\beta q^{5}-q^{7}+q^{9}-2q^{11}-q^{13}+\cdots\)
4368.2.a.bd \(2\) \(34.879\) \(\Q(\sqrt{33}) \) None \(0\) \(-2\) \(1\) \(2\) \(-\) \(q-q^{3}+\beta q^{5}+q^{7}+q^{9}+(2-\beta )q^{11}+\cdots\)
4368.2.a.be \(2\) \(34.879\) \(\Q(\sqrt{17}) \) None \(0\) \(-2\) \(3\) \(2\) \(-\) \(q-q^{3}+(1+\beta )q^{5}+q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots\)
4368.2.a.bf \(2\) \(34.879\) \(\Q(\sqrt{17}) \) None \(0\) \(2\) \(-3\) \(2\) \(-\) \(q+q^{3}+(-1-\beta )q^{5}+q^{7}+q^{9}+(2+\cdots)q^{11}+\cdots\)
4368.2.a.bg \(2\) \(34.879\) \(\Q(\sqrt{41}) \) None \(0\) \(2\) \(-1\) \(-2\) \(-\) \(q+q^{3}-\beta q^{5}-q^{7}+q^{9}+(-2-\beta )q^{11}+\cdots\)
4368.2.a.bh \(2\) \(34.879\) \(\Q(\sqrt{57}) \) None \(0\) \(2\) \(-1\) \(-2\) \(+\) \(q+q^{3}-\beta q^{5}-q^{7}+q^{9}+(-2+\beta )q^{11}+\cdots\)
4368.2.a.bi \(2\) \(34.879\) \(\Q(\sqrt{17}) \) None \(0\) \(2\) \(-1\) \(2\) \(+\) \(q+q^{3}-\beta q^{5}+q^{7}+q^{9}+(-2+\beta )q^{11}+\cdots\)
4368.2.a.bj \(2\) \(34.879\) \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(0\) \(-2\) \(+\) \(q+q^{3}-q^{7}+q^{9}-2q^{11}-q^{13}+(2+\cdots)q^{17}+\cdots\)
4368.2.a.bk \(2\) \(34.879\) \(\Q(\sqrt{17}) \) None \(0\) \(2\) \(1\) \(-2\) \(-\) \(q+q^{3}+\beta q^{5}-q^{7}+q^{9}+2q^{11}-q^{13}+\cdots\)
4368.2.a.bl \(2\) \(34.879\) \(\Q(\sqrt{5}) \) None \(0\) \(2\) \(2\) \(-2\) \(-\) \(q+q^{3}+(1+\beta )q^{5}-q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots\)
4368.2.a.bm \(3\) \(34.879\) 3.3.2089.1 None \(0\) \(-3\) \(0\) \(-3\) \(+\) \(q-q^{3}-\beta _{1}q^{5}-q^{7}+q^{9}+(-\beta _{1}-\beta _{2})q^{11}+\cdots\)
4368.2.a.bn \(3\) \(34.879\) 3.3.1373.1 None \(0\) \(-3\) \(1\) \(3\) \(-\) \(q-q^{3}+\beta _{2}q^{5}+q^{7}+q^{9}-\beta _{1}q^{11}+\cdots\)
4368.2.a.bo \(3\) \(34.879\) 3.3.961.1 None \(0\) \(-3\) \(2\) \(3\) \(+\) \(q-q^{3}+(1-\beta _{1})q^{5}+q^{7}+q^{9}+(-3+\cdots)q^{11}+\cdots\)
4368.2.a.bp \(3\) \(34.879\) 3.3.316.1 None \(0\) \(-3\) \(3\) \(-3\) \(-\) \(q-q^{3}+(1-\beta _{1})q^{5}-q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots\)
4368.2.a.bq \(3\) \(34.879\) 3.3.316.1 None \(0\) \(3\) \(-3\) \(3\) \(-\) \(q+q^{3}+(-1-\beta _{1})q^{5}+q^{7}+q^{9}+(1+\cdots)q^{11}+\cdots\)
4368.2.a.br \(4\) \(34.879\) 4.4.17428.1 None \(0\) \(-4\) \(-3\) \(-4\) \(+\) \(q-q^{3}+(-1-\beta _{2})q^{5}-q^{7}+q^{9}+\beta _{1}q^{11}+\cdots\)
4368.2.a.bs \(4\) \(34.879\) 4.4.138892.1 None \(0\) \(4\) \(2\) \(4\) \(-\) \(q+q^{3}+(1+\beta _{1})q^{5}+q^{7}+q^{9}+(1-\beta _{2}+\cdots)q^{11}+\cdots\)
4368.2.e.a \(16\) \(34.879\) \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None \(0\) \(-16\) \(0\) \(0\) \(q-q^{3}-\beta _{12}q^{5}+\beta _{13}q^{7}+q^{9}+(\beta _{7}+\cdots)q^{11}+\cdots\)
4368.2.e.b \(16\) \(34.879\) \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None \(0\) \(16\) \(0\) \(0\) \(q+q^{3}-\beta _{12}q^{5}-\beta _{13}q^{7}+q^{9}+(-\beta _{7}+\cdots)q^{11}+\cdots\)
4368.2.e.c \(32\) \(34.879\) None \(0\) \(-32\) \(0\) \(0\)
4368.2.e.d \(32\) \(34.879\) None \(0\) \(32\) \(0\) \(0\)
4368.2.h.a \(2\) \(34.879\) \(\Q(\sqrt{-1}) \) None \(0\) \(-2\) \(0\) \(0\) \(q-q^{3}+4iq^{5}-iq^{7}+q^{9}+(-3+2i)q^{13}+\cdots\)
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