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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 2 3
5184.2.a.a \(1\) \(41.394\) \(\Q\) None \(0\) \(0\) \(-4\) \(-2\) \(+\) \(+\) \(q-4q^{5}-2q^{7}+5q^{11}+2q^{13}-3q^{17}+\cdots\)
5184.2.a.b \(1\) \(41.394\) \(\Q\) None \(0\) \(0\) \(-4\) \(2\) \(+\) \(+\) \(q-4q^{5}+2q^{7}-5q^{11}+2q^{13}-3q^{17}+\cdots\)
5184.2.a.c \(1\) \(41.394\) \(\Q\) None \(0\) \(0\) \(-3\) \(-4\) \(+\) \(+\) \(q-3q^{5}-4q^{7}+q^{13}+3q^{17}+4q^{19}+\cdots\)
5184.2.a.d \(1\) \(41.394\) \(\Q\) None \(0\) \(0\) \(-3\) \(-2\) \(-\) \(+\) \(q-3q^{5}-2q^{7}-6q^{11}-5q^{13}-3q^{17}+\cdots\)
5184.2.a.e \(1\) \(41.394\) \(\Q\) None \(0\) \(0\) \(-3\) \(-1\) \(+\) \(+\) \(q-3q^{5}-q^{7}-3q^{11}+q^{13}+6q^{17}+\cdots\)
5184.2.a.f \(1\) \(41.394\) \(\Q\) None \(0\) \(0\) \(-3\) \(1\) \(-\) \(+\) \(q-3q^{5}+q^{7}+3q^{11}+q^{13}+6q^{17}+\cdots\)
5184.2.a.g \(1\) \(41.394\) \(\Q\) None \(0\) \(0\) \(-3\) \(2\) \(+\) \(+\) \(q-3q^{5}+2q^{7}+6q^{11}-5q^{13}-3q^{17}+\cdots\)
5184.2.a.h \(1\) \(41.394\) \(\Q\) None \(0\) \(0\) \(-3\) \(4\) \(-\) \(+\) \(q-3q^{5}+4q^{7}+q^{13}+3q^{17}-4q^{19}+\cdots\)
5184.2.a.i \(1\) \(41.394\) \(\Q\) None \(0\) \(0\) \(-1\) \(-3\) \(+\) \(-\) \(q-q^{5}-3q^{7}+5q^{11}+5q^{13}+2q^{17}+\cdots\)
5184.2.a.j \(1\) \(41.394\) \(\Q\) None \(0\) \(0\) \(-1\) \(-2\) \(+\) \(+\) \(q-q^{5}-2q^{7}+2q^{11}-q^{13}+3q^{17}+\cdots\)
5184.2.a.k \(1\) \(41.394\) \(\Q\) None \(0\) \(0\) \(-1\) \(0\) \(+\) \(+\) \(q-q^{5}-4q^{11}+5q^{13}+5q^{17}-8q^{19}+\cdots\)
5184.2.a.l \(1\) \(41.394\) \(\Q\) None \(0\) \(0\) \(-1\) \(0\) \(-\) \(+\) \(q-q^{5}+4q^{11}+5q^{13}+5q^{17}+8q^{19}+\cdots\)
5184.2.a.m \(1\) \(41.394\) \(\Q\) None \(0\) \(0\) \(-1\) \(2\) \(+\) \(+\) \(q-q^{5}+2q^{7}-2q^{11}-q^{13}+3q^{17}+\cdots\)
5184.2.a.n \(1\) \(41.394\) \(\Q\) None \(0\) \(0\) \(-1\) \(3\) \(-\) \(-\) \(q-q^{5}+3q^{7}-5q^{11}+5q^{13}+2q^{17}+\cdots\)
5184.2.a.o \(1\) \(41.394\) \(\Q\) None \(0\) \(0\) \(0\) \(-2\) \(-\) \(+\) \(q-2q^{7}-3q^{11}-2q^{13}-3q^{17}-q^{19}+\cdots\)
5184.2.a.p \(1\) \(41.394\) \(\Q\) None \(0\) \(0\) \(0\) \(-2\) \(-\) \(-\) \(q-2q^{7}+3q^{11}-2q^{13}+3q^{17}-q^{19}+\cdots\)
5184.2.a.q \(1\) \(41.394\) \(\Q\) None \(0\) \(0\) \(0\) \(2\) \(+\) \(-\) \(q+2q^{7}-3q^{11}-2q^{13}+3q^{17}+q^{19}+\cdots\)
5184.2.a.r \(1\) \(41.394\) \(\Q\) None \(0\) \(0\) \(0\) \(2\) \(+\) \(+\) \(q+2q^{7}+3q^{11}-2q^{13}-3q^{17}+q^{19}+\cdots\)
5184.2.a.s \(1\) \(41.394\) \(\Q\) None \(0\) \(0\) \(1\) \(-3\) \(+\) \(+\) \(q+q^{5}-3q^{7}-5q^{11}+5q^{13}-2q^{17}+\cdots\)
5184.2.a.t \(1\) \(41.394\) \(\Q\) None \(0\) \(0\) \(1\) \(-2\) \(+\) \(+\) \(q+q^{5}-2q^{7}-2q^{11}-q^{13}-3q^{17}+\cdots\)
5184.2.a.u \(1\) \(41.394\) \(\Q\) None \(0\) \(0\) \(1\) \(0\) \(-\) \(+\) \(q+q^{5}-4q^{11}+5q^{13}-5q^{17}+8q^{19}+\cdots\)
5184.2.a.v \(1\) \(41.394\) \(\Q\) None \(0\) \(0\) \(1\) \(0\) \(+\) \(+\) \(q+q^{5}+4q^{11}+5q^{13}-5q^{17}-8q^{19}+\cdots\)
5184.2.a.w \(1\) \(41.394\) \(\Q\) None \(0\) \(0\) \(1\) \(2\) \(+\) \(+\) \(q+q^{5}+2q^{7}+2q^{11}-q^{13}-3q^{17}+\cdots\)
5184.2.a.x \(1\) \(41.394\) \(\Q\) None \(0\) \(0\) \(1\) \(3\) \(-\) \(+\) \(q+q^{5}+3q^{7}+5q^{11}+5q^{13}-2q^{17}+\cdots\)
5184.2.a.y \(1\) \(41.394\) \(\Q\) None \(0\) \(0\) \(3\) \(-4\) \(+\) \(+\) \(q+3q^{5}-4q^{7}+q^{13}-3q^{17}+4q^{19}+\cdots\)
5184.2.a.z \(1\) \(41.394\) \(\Q\) None \(0\) \(0\) \(3\) \(-2\) \(-\) \(+\) \(q+3q^{5}-2q^{7}+6q^{11}-5q^{13}+3q^{17}+\cdots\)
5184.2.a.ba \(1\) \(41.394\) \(\Q\) None \(0\) \(0\) \(3\) \(-1\) \(+\) \(-\) \(q+3q^{5}-q^{7}+3q^{11}+q^{13}-6q^{17}+\cdots\)
5184.2.a.bb \(1\) \(41.394\) \(\Q\) None \(0\) \(0\) \(3\) \(1\) \(-\) \(-\) \(q+3q^{5}+q^{7}-3q^{11}+q^{13}-6q^{17}+\cdots\)
5184.2.a.bc \(1\) \(41.394\) \(\Q\) None \(0\) \(0\) \(3\) \(2\) \(+\) \(+\) \(q+3q^{5}+2q^{7}-6q^{11}-5q^{13}+3q^{17}+\cdots\)
5184.2.a.bd \(1\) \(41.394\) \(\Q\) None \(0\) \(0\) \(3\) \(4\) \(-\) \(+\) \(q+3q^{5}+4q^{7}+q^{13}-3q^{17}-4q^{19}+\cdots\)
5184.2.a.be \(1\) \(41.394\) \(\Q\) None \(0\) \(0\) \(4\) \(-2\) \(+\) \(-\) \(q+4q^{5}-2q^{7}-5q^{11}+2q^{13}+3q^{17}+\cdots\)
5184.2.a.bf \(1\) \(41.394\) \(\Q\) None \(0\) \(0\) \(4\) \(2\) \(+\) \(-\) \(q+4q^{5}+2q^{7}+5q^{11}+2q^{13}+3q^{17}+\cdots\)
5184.2.a.bg \(2\) \(41.394\) \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(-4\) \(0\) \(+\) \(-\) \(q+(-2+\beta )q^{5}-2\beta q^{7}-2q^{11}+(-1+\cdots)q^{13}+\cdots\)
5184.2.a.bh \(2\) \(41.394\) \(\Q(\sqrt{3}) \) \(\Q(\sqrt{-1}) \) \(0\) \(0\) \(-4\) \(0\) \(-\) \(-\) \(q+(-2+\beta )q^{5}+(-3+2\beta )q^{13}+(4+\cdots)q^{17}+\cdots\)
5184.2.a.bi \(2\) \(41.394\) \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(-4\) \(0\) \(-\) \(-\) \(q+(-2+\beta )q^{5}+2\beta q^{7}+2q^{11}+(-1+\cdots)q^{13}+\cdots\)
5184.2.a.bj \(2\) \(41.394\) \(\Q(\sqrt{6}) \) None \(0\) \(0\) \(-2\) \(-2\) \(+\) \(-\) \(q-q^{5}+(-1-\beta )q^{7}+(1-\beta )q^{11}+(-1+\cdots)q^{13}+\cdots\)
5184.2.a.bk \(2\) \(41.394\) \(\Q(\sqrt{6}) \) None \(0\) \(0\) \(-2\) \(0\) \(-\) \(+\) \(q-q^{5}-\beta q^{7}+\beta q^{11}-3q^{13}+5q^{17}+\cdots\)
5184.2.a.bl \(2\) \(41.394\) \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(-2\) \(0\) \(-\) \(-\) \(q-q^{5}-\beta q^{7}+\beta q^{11}+3q^{13}-4q^{17}+\cdots\)
5184.2.a.bm \(2\) \(41.394\) \(\Q(\sqrt{3}) \) \(\Q(\sqrt{-1}) \) \(0\) \(0\) \(-2\) \(0\) \(-\) \(+\) \(q+(-1+\beta )q^{5}+(3+\beta )q^{13}+(-1+2\beta )q^{17}+\cdots\)
5184.2.a.bn \(2\) \(41.394\) \(\Q(\sqrt{6}) \) None \(0\) \(0\) \(-2\) \(2\) \(+\) \(-\) \(q-q^{5}+(1-\beta )q^{7}+(-1-\beta )q^{11}+(-1+\cdots)q^{13}+\cdots\)
5184.2.a.bo \(2\) \(41.394\) \(\Q(\sqrt{33}) \) None \(0\) \(0\) \(-1\) \(-3\) \(-\) \(-\) \(q-\beta q^{5}+(-2+\beta )q^{7}-q^{11}+(-2+\cdots)q^{13}+\cdots\)
5184.2.a.bp \(2\) \(41.394\) \(\Q(\sqrt{33}) \) None \(0\) \(0\) \(-1\) \(3\) \(+\) \(-\) \(q-\beta q^{5}+(2-\beta )q^{7}+q^{11}+(-2-\beta )q^{13}+\cdots\)
5184.2.a.bq \(2\) \(41.394\) \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(0\) \(-4\) \(-\) \(-\) \(q+\beta q^{5}-2q^{7}-2\beta q^{11}+q^{13}+3\beta q^{17}+\cdots\)
5184.2.a.br \(2\) \(41.394\) \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(0\) \(4\) \(+\) \(-\) \(q+\beta q^{5}+2q^{7}+2\beta q^{11}+q^{13}+3\beta q^{17}+\cdots\)
5184.2.a.bs \(2\) \(41.394\) \(\Q(\sqrt{33}) \) None \(0\) \(0\) \(1\) \(-3\) \(-\) \(+\) \(q+\beta q^{5}+(-2+\beta )q^{7}+q^{11}+(-2+\cdots)q^{13}+\cdots\)
5184.2.a.bt \(2\) \(41.394\) \(\Q(\sqrt{33}) \) None \(0\) \(0\) \(1\) \(3\) \(+\) \(+\) \(q+\beta q^{5}+(2-\beta )q^{7}-q^{11}+(-2-\beta )q^{13}+\cdots\)
5184.2.a.bu \(2\) \(41.394\) \(\Q(\sqrt{6}) \) None \(0\) \(0\) \(2\) \(-2\) \(+\) \(+\) \(q+q^{5}+(-1-\beta )q^{7}+(-1+\beta )q^{11}+\cdots\)
5184.2.a.bv \(2\) \(41.394\) \(\Q(\sqrt{6}) \) None \(0\) \(0\) \(2\) \(0\) \(-\) \(+\) \(q+q^{5}-\beta q^{7}-\beta q^{11}-3q^{13}-5q^{17}+\cdots\)
5184.2.a.bw \(2\) \(41.394\) \(\Q(\sqrt{3}) \) \(\Q(\sqrt{-1}) \) \(0\) \(0\) \(2\) \(0\) \(-\) \(+\) \(q+(1+\beta )q^{5}+(3-\beta )q^{13}+(1+2\beta )q^{17}+\cdots\)
5184.2.a.bx \(2\) \(41.394\) \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(2\) \(0\) \(-\) \(+\) \(q+q^{5}+\beta q^{7}+\beta q^{11}+3q^{13}+4q^{17}+\cdots\)
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