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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 2 5 23
7360.2.a.a \(1\) \(58.770\) \(\Q\) None \(0\) \(-3\) \(-1\) \(2\) \(-\) \(+\) \(+\) \(q-3q^{3}-q^{5}+2q^{7}+6q^{9}-q^{13}+\cdots\)
7360.2.a.b \(1\) \(58.770\) \(\Q\) None \(0\) \(-3\) \(1\) \(2\) \(+\) \(-\) \(+\) \(q-3q^{3}+q^{5}+2q^{7}+6q^{9}+3q^{13}+\cdots\)
7360.2.a.c \(1\) \(58.770\) \(\Q\) None \(0\) \(-2\) \(-1\) \(-1\) \(+\) \(+\) \(-\) \(q-2q^{3}-q^{5}-q^{7}+q^{9}+2q^{11}+4q^{13}+\cdots\)
7360.2.a.d \(1\) \(58.770\) \(\Q\) None \(0\) \(-2\) \(1\) \(-3\) \(+\) \(-\) \(+\) \(q-2q^{3}+q^{5}-3q^{7}+q^{9}+6q^{11}+\cdots\)
7360.2.a.e \(1\) \(58.770\) \(\Q\) None \(0\) \(-2\) \(1\) \(-1\) \(+\) \(-\) \(-\) \(q-2q^{3}+q^{5}-q^{7}+q^{9}+2q^{11}-2q^{15}+\cdots\)
7360.2.a.f \(1\) \(58.770\) \(\Q\) None \(0\) \(-2\) \(1\) \(5\) \(-\) \(-\) \(+\) \(q-2q^{3}+q^{5}+5q^{7}+q^{9}-2q^{11}+\cdots\)
7360.2.a.g \(1\) \(58.770\) \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) \(-\) \(+\) \(-\) \(q-q^{3}-q^{5}-2q^{9}+2q^{11}+5q^{13}+\cdots\)
7360.2.a.h \(1\) \(58.770\) \(\Q\) None \(0\) \(-1\) \(-1\) \(2\) \(-\) \(+\) \(-\) \(q-q^{3}-q^{5}+2q^{7}-2q^{9}-4q^{11}+\cdots\)
7360.2.a.i \(1\) \(58.770\) \(\Q\) None \(0\) \(-1\) \(1\) \(-4\) \(+\) \(-\) \(-\) \(q-q^{3}+q^{5}-4q^{7}-2q^{9}+6q^{11}+\cdots\)
7360.2.a.j \(1\) \(58.770\) \(\Q\) None \(0\) \(-1\) \(1\) \(-2\) \(+\) \(-\) \(-\) \(q-q^{3}+q^{5}-2q^{7}-2q^{9}-q^{13}-q^{15}+\cdots\)
7360.2.a.k \(1\) \(58.770\) \(\Q\) None \(0\) \(0\) \(-1\) \(-1\) \(-\) \(+\) \(+\) \(q-q^{5}-q^{7}-3q^{9}-6q^{11}+2q^{13}+\cdots\)
7360.2.a.l \(1\) \(58.770\) \(\Q\) None \(0\) \(0\) \(-1\) \(1\) \(+\) \(+\) \(-\) \(q-q^{5}+q^{7}-3q^{9}+6q^{11}+2q^{13}+\cdots\)
7360.2.a.m \(1\) \(58.770\) \(\Q\) None \(0\) \(0\) \(1\) \(-1\) \(+\) \(-\) \(+\) \(q+q^{5}-q^{7}-3q^{9}-6q^{11}-6q^{13}+\cdots\)
7360.2.a.n \(1\) \(58.770\) \(\Q\) None \(0\) \(0\) \(1\) \(-1\) \(-\) \(-\) \(+\) \(q+q^{5}-q^{7}-3q^{9}+2q^{11}+2q^{13}+\cdots\)
7360.2.a.o \(1\) \(58.770\) \(\Q\) None \(0\) \(0\) \(1\) \(0\) \(-\) \(-\) \(-\) \(q+q^{5}-3q^{9}-4q^{11}+2q^{13}+2q^{17}+\cdots\)
7360.2.a.p \(1\) \(58.770\) \(\Q\) None \(0\) \(0\) \(1\) \(0\) \(-\) \(-\) \(+\) \(q+q^{5}-3q^{9}+4q^{11}+2q^{13}+2q^{17}+\cdots\)
7360.2.a.q \(1\) \(58.770\) \(\Q\) None \(0\) \(0\) \(1\) \(1\) \(+\) \(-\) \(-\) \(q+q^{5}+q^{7}-3q^{9}-2q^{11}+2q^{13}+\cdots\)
7360.2.a.r \(1\) \(58.770\) \(\Q\) None \(0\) \(0\) \(1\) \(1\) \(-\) \(-\) \(-\) \(q+q^{5}+q^{7}-3q^{9}+6q^{11}-6q^{13}+\cdots\)
7360.2.a.s \(1\) \(58.770\) \(\Q\) None \(0\) \(1\) \(-1\) \(-2\) \(+\) \(+\) \(+\) \(q+q^{3}-q^{5}-2q^{7}-2q^{9}+4q^{11}+\cdots\)
7360.2.a.t \(1\) \(58.770\) \(\Q\) None \(0\) \(1\) \(-1\) \(0\) \(+\) \(+\) \(+\) \(q+q^{3}-q^{5}-2q^{9}-2q^{11}+5q^{13}+\cdots\)
7360.2.a.u \(1\) \(58.770\) \(\Q\) None \(0\) \(1\) \(1\) \(2\) \(-\) \(-\) \(+\) \(q+q^{3}+q^{5}+2q^{7}-2q^{9}-q^{13}+q^{15}+\cdots\)
7360.2.a.v \(1\) \(58.770\) \(\Q\) None \(0\) \(1\) \(1\) \(4\) \(-\) \(-\) \(+\) \(q+q^{3}+q^{5}+4q^{7}-2q^{9}-6q^{11}+\cdots\)
7360.2.a.w \(1\) \(58.770\) \(\Q\) None \(0\) \(2\) \(-1\) \(1\) \(+\) \(+\) \(+\) \(q+2q^{3}-q^{5}+q^{7}+q^{9}-2q^{11}+4q^{13}+\cdots\)
7360.2.a.x \(1\) \(58.770\) \(\Q\) None \(0\) \(2\) \(1\) \(-5\) \(-\) \(-\) \(-\) \(q+2q^{3}+q^{5}-5q^{7}+q^{9}+2q^{11}+\cdots\)
7360.2.a.y \(1\) \(58.770\) \(\Q\) None \(0\) \(2\) \(1\) \(1\) \(+\) \(-\) \(+\) \(q+2q^{3}+q^{5}+q^{7}+q^{9}-2q^{11}+2q^{15}+\cdots\)
7360.2.a.z \(1\) \(58.770\) \(\Q\) None \(0\) \(2\) \(1\) \(3\) \(+\) \(-\) \(-\) \(q+2q^{3}+q^{5}+3q^{7}+q^{9}-6q^{11}+\cdots\)
7360.2.a.ba \(1\) \(58.770\) \(\Q\) None \(0\) \(3\) \(-1\) \(-2\) \(+\) \(+\) \(-\) \(q+3q^{3}-q^{5}-2q^{7}+6q^{9}-q^{13}+\cdots\)
7360.2.a.bb \(1\) \(58.770\) \(\Q\) None \(0\) \(3\) \(1\) \(-2\) \(-\) \(-\) \(-\) \(q+3q^{3}+q^{5}-2q^{7}+6q^{9}+3q^{13}+\cdots\)
7360.2.a.bc \(2\) \(58.770\) \(\Q(\sqrt{13}) \) None \(0\) \(-3\) \(-2\) \(3\) \(+\) \(+\) \(+\) \(q+(-1-\beta )q^{3}-q^{5}+(2-\beta )q^{7}+(1+\cdots)q^{9}+\cdots\)
7360.2.a.bd \(2\) \(58.770\) \(\Q(\sqrt{13}) \) None \(0\) \(-3\) \(2\) \(-3\) \(+\) \(-\) \(-\) \(q+(-1-\beta )q^{3}+q^{5}+(-2+\beta )q^{7}+\cdots\)
7360.2.a.be \(2\) \(58.770\) \(\Q(\sqrt{7}) \) None \(0\) \(-2\) \(-2\) \(-2\) \(+\) \(+\) \(+\) \(q-q^{3}-q^{5}+(-1-\beta )q^{7}-2q^{9}+(-1+\cdots)q^{11}+\cdots\)
7360.2.a.bf \(2\) \(58.770\) \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(2\) \(2\) \(-\) \(-\) \(-\) \(q-q^{3}+q^{5}+(1+\beta )q^{7}-2q^{9}+(-1+\cdots)q^{11}+\cdots\)
7360.2.a.bg \(2\) \(58.770\) \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(2\) \(2\) \(+\) \(-\) \(+\) \(q-q^{3}+q^{5}+(1-\beta )q^{7}-2q^{9}+(1-\beta )q^{11}+\cdots\)
7360.2.a.bh \(2\) \(58.770\) \(\Q(\sqrt{5}) \) None \(0\) \(-1\) \(-2\) \(1\) \(+\) \(+\) \(-\) \(q-\beta q^{3}-q^{5}+(1-\beta )q^{7}+(-2+\beta )q^{9}+\cdots\)
7360.2.a.bi \(2\) \(58.770\) \(\Q(\sqrt{17}) \) None \(0\) \(-1\) \(-2\) \(1\) \(+\) \(+\) \(-\) \(q-\beta q^{3}-q^{5}+(1-\beta )q^{7}+(1+\beta )q^{9}+\cdots\)
7360.2.a.bj \(2\) \(58.770\) \(\Q(\sqrt{17}) \) None \(0\) \(-1\) \(-2\) \(2\) \(+\) \(+\) \(-\) \(q-\beta q^{3}-q^{5}+2\beta q^{7}+(1+\beta )q^{9}+4q^{11}+\cdots\)
7360.2.a.bk \(2\) \(58.770\) \(\Q(\sqrt{21}) \) None \(0\) \(-1\) \(2\) \(-1\) \(-\) \(-\) \(+\) \(q-\beta q^{3}+q^{5}+(-1+\beta )q^{7}+(2+\beta )q^{9}+\cdots\)
7360.2.a.bl \(2\) \(58.770\) \(\Q(\sqrt{17}) \) None \(0\) \(-1\) \(2\) \(1\) \(-\) \(-\) \(-\) \(q-\beta q^{3}+q^{5}+(1-\beta )q^{7}+(1+\beta )q^{9}+\cdots\)
7360.2.a.bm \(2\) \(58.770\) \(\Q(\sqrt{17}) \) None \(0\) \(1\) \(-2\) \(-2\) \(-\) \(+\) \(+\) \(q+\beta q^{3}-q^{5}-2\beta q^{7}+(1+\beta )q^{9}-4q^{11}+\cdots\)
7360.2.a.bn \(2\) \(58.770\) \(\Q(\sqrt{5}) \) None \(0\) \(1\) \(-2\) \(-1\) \(-\) \(+\) \(+\) \(q+\beta q^{3}-q^{5}+(-1+\beta )q^{7}+(-2+\beta )q^{9}+\cdots\)
7360.2.a.bo \(2\) \(58.770\) \(\Q(\sqrt{17}) \) None \(0\) \(1\) \(-2\) \(-1\) \(-\) \(+\) \(+\) \(q+\beta q^{3}-q^{5}+(-1+\beta )q^{7}+(1+\beta )q^{9}+\cdots\)
7360.2.a.bp \(2\) \(58.770\) \(\Q(\sqrt{17}) \) None \(0\) \(1\) \(2\) \(-1\) \(+\) \(-\) \(+\) \(q+\beta q^{3}+q^{5}+(-1+\beta )q^{7}+(1+\beta )q^{9}+\cdots\)
7360.2.a.bq \(2\) \(58.770\) \(\Q(\sqrt{21}) \) None \(0\) \(1\) \(2\) \(1\) \(+\) \(-\) \(-\) \(q+\beta q^{3}+q^{5}+(1-\beta )q^{7}+(2+\beta )q^{9}+\cdots\)
7360.2.a.br \(2\) \(58.770\) \(\Q(\sqrt{7}) \) None \(0\) \(2\) \(-2\) \(2\) \(+\) \(+\) \(-\) \(q+q^{3}-q^{5}+(1+\beta )q^{7}-2q^{9}+(1+\beta )q^{11}+\cdots\)
7360.2.a.bs \(2\) \(58.770\) \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(2\) \(-2\) \(+\) \(-\) \(-\) \(q+q^{3}+q^{5}+(-1+\beta )q^{7}-2q^{9}+(-1+\cdots)q^{11}+\cdots\)
7360.2.a.bt \(2\) \(58.770\) \(\Q(\sqrt{5}) \) None \(0\) \(2\) \(2\) \(-2\) \(+\) \(-\) \(+\) \(q+q^{3}+q^{5}+(-1-\beta )q^{7}-2q^{9}+(1+\cdots)q^{11}+\cdots\)
7360.2.a.bu \(2\) \(58.770\) \(\Q(\sqrt{13}) \) None \(0\) \(3\) \(-2\) \(-3\) \(-\) \(+\) \(-\) \(q+(1+\beta )q^{3}-q^{5}+(-2+\beta )q^{7}+(1+\cdots)q^{9}+\cdots\)
7360.2.a.bv \(2\) \(58.770\) \(\Q(\sqrt{13}) \) None \(0\) \(3\) \(2\) \(3\) \(+\) \(-\) \(+\) \(q+(1+\beta )q^{3}+q^{5}+(2-\beta )q^{7}+(1+3\beta )q^{9}+\cdots\)
7360.2.a.bw \(3\) \(58.770\) 3.3.229.1 None \(0\) \(-2\) \(-3\) \(7\) \(+\) \(+\) \(+\) \(q+(-1-\beta _{2})q^{3}-q^{5}+(2-\beta _{2})q^{7}+\cdots\)
7360.2.a.bx \(3\) \(58.770\) 3.3.1573.1 None \(0\) \(-1\) \(-3\) \(-4\) \(+\) \(+\) \(+\) \(q-\beta _{1}q^{3}-q^{5}+(-1-\beta _{1})q^{7}+(2+\beta _{1}+\cdots)q^{9}+\cdots\)
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