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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 2 19
5776.2.a.a \(1\) \(46.122\) \(\Q\) None \(0\) \(-3\) \(2\) \(3\) \(-\) \(+\) \(q-3q^{3}+2q^{5}+3q^{7}+6q^{9}+2q^{11}+\cdots\)
5776.2.a.b \(1\) \(46.122\) \(\Q\) None \(0\) \(-2\) \(-1\) \(3\) \(+\) \(-\) \(q-2q^{3}-q^{5}+3q^{7}+q^{9}+3q^{11}+\cdots\)
5776.2.a.c \(1\) \(46.122\) \(\Q\) None \(0\) \(-2\) \(3\) \(1\) \(-\) \(-\) \(q-2q^{3}+3q^{5}+q^{7}+q^{9}-3q^{11}+\cdots\)
5776.2.a.d \(1\) \(46.122\) \(\Q\) None \(0\) \(-1\) \(-4\) \(-3\) \(-\) \(-\) \(q-q^{3}-4q^{5}-3q^{7}-2q^{9}-2q^{11}+\cdots\)
5776.2.a.e \(1\) \(46.122\) \(\Q\) None \(0\) \(-1\) \(-4\) \(0\) \(+\) \(+\) \(q-q^{3}-4q^{5}-2q^{9}-3q^{11}+2q^{13}+\cdots\)
5776.2.a.f \(1\) \(46.122\) \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) \(-\) \(-\) \(q-q^{3}-q^{5}-2q^{9}+4q^{11}+q^{13}+\cdots\)
5776.2.a.g \(1\) \(46.122\) \(\Q\) None \(0\) \(-1\) \(0\) \(4\) \(-\) \(+\) \(q-q^{3}+4q^{7}-2q^{9}-3q^{11}+2q^{13}+\cdots\)
5776.2.a.h \(1\) \(46.122\) \(\Q\) None \(0\) \(-1\) \(3\) \(0\) \(+\) \(+\) \(q-q^{3}+3q^{5}-2q^{9}+4q^{11}-5q^{13}+\cdots\)
5776.2.a.i \(1\) \(46.122\) \(\Q\) \(\Q(\sqrt{-19}) \) \(0\) \(0\) \(-1\) \(-3\) \(-\) \(+\) \(q-q^{5}-3q^{7}-3q^{9}+5q^{11}-7q^{17}+\cdots\)
5776.2.a.j \(1\) \(46.122\) \(\Q\) None \(0\) \(1\) \(-4\) \(0\) \(+\) \(-\) \(q+q^{3}-4q^{5}-2q^{9}-3q^{11}-2q^{13}+\cdots\)
5776.2.a.k \(1\) \(46.122\) \(\Q\) None \(0\) \(1\) \(-1\) \(0\) \(-\) \(+\) \(q+q^{3}-q^{5}-2q^{9}+4q^{11}-q^{13}+\cdots\)
5776.2.a.l \(1\) \(46.122\) \(\Q\) None \(0\) \(1\) \(0\) \(-3\) \(+\) \(-\) \(q+q^{3}-3q^{7}-2q^{9}-2q^{11}-q^{13}+\cdots\)
5776.2.a.m \(1\) \(46.122\) \(\Q\) None \(0\) \(1\) \(0\) \(1\) \(-\) \(-\) \(q+q^{3}+q^{7}-2q^{9}+6q^{11}-5q^{13}+\cdots\)
5776.2.a.n \(1\) \(46.122\) \(\Q\) None \(0\) \(1\) \(0\) \(4\) \(-\) \(-\) \(q+q^{3}+4q^{7}-2q^{9}-3q^{11}-2q^{13}+\cdots\)
5776.2.a.o \(1\) \(46.122\) \(\Q\) None \(0\) \(1\) \(3\) \(0\) \(+\) \(-\) \(q+q^{3}+3q^{5}-2q^{9}+4q^{11}+5q^{13}+\cdots\)
5776.2.a.p \(1\) \(46.122\) \(\Q\) None \(0\) \(2\) \(-1\) \(3\) \(-\) \(-\) \(q+2q^{3}-q^{5}+3q^{7}+q^{9}-5q^{11}+\cdots\)
5776.2.a.q \(1\) \(46.122\) \(\Q\) None \(0\) \(3\) \(2\) \(3\) \(-\) \(+\) \(q+3q^{3}+2q^{5}+3q^{7}+6q^{9}+2q^{11}+\cdots\)
5776.2.a.r \(2\) \(46.122\) \(\Q(\sqrt{5}) \) None \(0\) \(-4\) \(1\) \(2\) \(-\) \(-\) \(q-2q^{3}+\beta q^{5}+(2-2\beta )q^{7}+q^{9}+(-2+\cdots)q^{11}+\cdots\)
5776.2.a.s \(2\) \(46.122\) \(\Q(\sqrt{5}) \) None \(0\) \(-3\) \(2\) \(-6\) \(-\) \(-\) \(q+(-1-\beta )q^{3}+(2-2\beta )q^{5}-3q^{7}+\cdots\)
5776.2.a.t \(2\) \(46.122\) \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(-5\) \(2\) \(-\) \(-\) \(q-2\beta q^{3}+(-3+\beta )q^{5}+(2-2\beta )q^{7}+\cdots\)
5776.2.a.u \(2\) \(46.122\) \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(5\) \(4\) \(+\) \(-\) \(q-2\beta q^{3}+(2+\beta )q^{5}+2q^{7}+(1+4\beta )q^{9}+\cdots\)
5776.2.a.v \(2\) \(46.122\) \(\Q(\sqrt{17}) \) None \(0\) \(-1\) \(-3\) \(-2\) \(+\) \(+\) \(q-\beta q^{3}+(-1-\beta )q^{5}-q^{7}+(1+\beta )q^{9}+\cdots\)
5776.2.a.w \(2\) \(46.122\) \(\Q(\sqrt{5}) \) None \(0\) \(-1\) \(-2\) \(-4\) \(-\) \(-\) \(q-\beta q^{3}-2\beta q^{5}+(-1-2\beta )q^{7}+(-2+\cdots)q^{9}+\cdots\)
5776.2.a.x \(2\) \(46.122\) \(\Q(\sqrt{5}) \) None \(0\) \(-1\) \(-2\) \(-4\) \(+\) \(-\) \(q-\beta q^{3}-2\beta q^{5}+(-3+2\beta )q^{7}+(-2+\cdots)q^{9}+\cdots\)
5776.2.a.y \(2\) \(46.122\) \(\Q(\sqrt{57}) \) \(\Q(\sqrt{-19}) \) \(0\) \(0\) \(1\) \(3\) \(-\) \(+\) \(q+\beta q^{5}+(2-\beta )q^{7}-3q^{9}+(-2-\beta )q^{11}+\cdots\)
5776.2.a.z \(2\) \(46.122\) \(\Q(\sqrt{7}) \) None \(0\) \(0\) \(2\) \(-2\) \(-\) \(-\) \(q+\beta q^{3}+(1-\beta )q^{5}+(-1-\beta )q^{7}+4q^{9}+\cdots\)
5776.2.a.ba \(2\) \(46.122\) \(\Q(\sqrt{7}) \) None \(0\) \(0\) \(2\) \(-2\) \(-\) \(+\) \(q+\beta q^{3}+(1+\beta )q^{5}+(-1+\beta )q^{7}+4q^{9}+\cdots\)
5776.2.a.bb \(2\) \(46.122\) \(\Q(\sqrt{17}) \) None \(0\) \(1\) \(-3\) \(-2\) \(+\) \(+\) \(q+\beta q^{3}+(-1-\beta )q^{5}-q^{7}+(1+\beta )q^{9}+\cdots\)
5776.2.a.bc \(2\) \(46.122\) \(\Q(\sqrt{5}) \) None \(0\) \(1\) \(-2\) \(-4\) \(-\) \(-\) \(q+\beta q^{3}-2\beta q^{5}+(-1-2\beta )q^{7}+(-2+\cdots)q^{9}+\cdots\)
5776.2.a.bd \(2\) \(46.122\) \(\Q(\sqrt{5}) \) None \(0\) \(1\) \(-2\) \(-4\) \(+\) \(-\) \(q+\beta q^{3}-2\beta q^{5}+(-3+2\beta )q^{7}+(-2+\cdots)q^{9}+\cdots\)
5776.2.a.be \(2\) \(46.122\) \(\Q(\sqrt{5}) \) None \(0\) \(2\) \(-5\) \(2\) \(-\) \(-\) \(q+2\beta q^{3}+(-3+\beta )q^{5}+(2-2\beta )q^{7}+\cdots\)
5776.2.a.bf \(2\) \(46.122\) \(\Q(\sqrt{5}) \) None \(0\) \(2\) \(5\) \(4\) \(+\) \(-\) \(q+2\beta q^{3}+(2+\beta )q^{5}+2q^{7}+(1+4\beta )q^{9}+\cdots\)
5776.2.a.bg \(2\) \(46.122\) \(\Q(\sqrt{5}) \) None \(0\) \(3\) \(2\) \(-6\) \(-\) \(-\) \(q+(1+\beta )q^{3}+(2-2\beta )q^{5}-3q^{7}+(-1+\cdots)q^{9}+\cdots\)
5776.2.a.bh \(2\) \(46.122\) \(\Q(\sqrt{5}) \) None \(0\) \(4\) \(1\) \(2\) \(-\) \(-\) \(q+2q^{3}+(1-\beta )q^{5}+2\beta q^{7}+q^{9}+(-4+\cdots)q^{11}+\cdots\)
5776.2.a.bi \(3\) \(46.122\) \(\Q(\zeta_{18})^+\) None \(0\) \(-3\) \(-3\) \(0\) \(-\) \(-\) \(q+(-1-\beta _{1})q^{3}+(-1+\beta _{1})q^{5}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
5776.2.a.bj \(3\) \(46.122\) \(\Q(\zeta_{18})^+\) None \(0\) \(-3\) \(-3\) \(6\) \(+\) \(+\) \(q+(-1-2\beta _{1}+\beta _{2})q^{3}+(-1-\beta _{2})q^{5}+\cdots\)
5776.2.a.bk \(3\) \(46.122\) 3.3.316.1 None \(0\) \(-1\) \(1\) \(2\) \(+\) \(+\) \(q+(-\beta _{1}+\beta _{2})q^{3}+\beta _{1}q^{5}+(1-\beta _{1}+\cdots)q^{7}+\cdots\)
5776.2.a.bl \(3\) \(46.122\) \(\Q(\zeta_{18})^+\) None \(0\) \(0\) \(0\) \(3\) \(+\) \(+\) \(q-\beta _{1}q^{3}+(\beta _{1}-\beta _{2})q^{5}+(1+2\beta _{1})q^{7}+\cdots\)
5776.2.a.bm \(3\) \(46.122\) \(\Q(\zeta_{18})^+\) None \(0\) \(0\) \(0\) \(3\) \(+\) \(-\) \(q+\beta _{1}q^{3}+(\beta _{1}-\beta _{2})q^{5}+(1+2\beta _{1})q^{7}+\cdots\)
5776.2.a.bn \(3\) \(46.122\) \(\Q(\zeta_{18})^+\) None \(0\) \(0\) \(6\) \(-6\) \(-\) \(+\) \(q+\beta _{1}q^{3}+2q^{5}+(-2-2\beta _{2})q^{7}+(-1+\cdots)q^{9}+\cdots\)
5776.2.a.bo \(3\) \(46.122\) \(\Q(\zeta_{18})^+\) None \(0\) \(0\) \(6\) \(-6\) \(-\) \(-\) \(q-\beta _{1}q^{3}+2q^{5}+(-2-2\beta _{2})q^{7}+(-1+\cdots)q^{9}+\cdots\)
5776.2.a.bp \(3\) \(46.122\) 3.3.961.1 None \(0\) \(1\) \(1\) \(-4\) \(+\) \(-\) \(q+\beta _{1}q^{3}-\beta _{2}q^{5}+(-2+\beta _{1}-\beta _{2})q^{7}+\cdots\)
5776.2.a.bq \(3\) \(46.122\) 3.3.316.1 None \(0\) \(1\) \(1\) \(2\) \(+\) \(-\) \(q+(\beta _{1}-\beta _{2})q^{3}+\beta _{1}q^{5}+(1-\beta _{1}-\beta _{2})q^{7}+\cdots\)
5776.2.a.br \(3\) \(46.122\) \(\Q(\zeta_{18})^+\) None \(0\) \(3\) \(-3\) \(0\) \(-\) \(+\) \(q+(1+\beta _{1})q^{3}+(-1+\beta _{1})q^{5}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
5776.2.a.bs \(3\) \(46.122\) \(\Q(\zeta_{18})^+\) None \(0\) \(3\) \(-3\) \(6\) \(+\) \(-\) \(q+(1+2\beta _{1}-\beta _{2})q^{3}+(-1-\beta _{2})q^{5}+\cdots\)
5776.2.a.bt \(4\) \(46.122\) \(\Q(\zeta_{20})^+\) None \(0\) \(-2\) \(-2\) \(2\) \(-\) \(+\) \(q+(-1-\beta _{2}-\beta _{3})q^{3}+(-1-\beta _{1}-\beta _{2}+\cdots)q^{5}+\cdots\)
5776.2.a.bu \(4\) \(46.122\) \(\Q(\zeta_{20})^+\) None \(0\) \(0\) \(-4\) \(8\) \(-\) \(+\) \(q+\beta _{1}q^{3}+(-2-2\beta _{2})q^{5}+(1-2\beta _{2}+\cdots)q^{7}+\cdots\)
5776.2.a.bv \(4\) \(46.122\) \(\Q(\zeta_{20})^+\) None \(0\) \(2\) \(-2\) \(2\) \(-\) \(+\) \(q+(1+\beta _{2}+\beta _{3})q^{3}+(-1-\beta _{1}-\beta _{2}+\cdots)q^{5}+\cdots\)
5776.2.a.bw \(6\) \(46.122\) 6.6.20319417.1 None \(0\) \(-3\) \(-3\) \(3\) \(-\) \(+\) \(q+(-\beta _{1}-\beta _{2}-\beta _{3})q^{3}-\beta _{4}q^{5}+(1+\cdots)q^{7}+\cdots\)
5776.2.a.bx \(6\) \(46.122\) 6.6.3022625.1 None \(0\) \(-3\) \(2\) \(2\) \(+\) \(-\) \(q+(-1-\beta _{2})q^{3}+(-\beta _{1}-\beta _{5})q^{5}+(-\beta _{2}+\cdots)q^{7}+\cdots\)
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