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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 7 13
8281.2.a.a \(1\) \(66.124\) \(\Q\) None \(-2\) \(-2\) \(-1\) \(0\) \(-\) \(-\) \(q-2q^{2}-2q^{3}+2q^{4}-q^{5}+4q^{6}+\cdots\)
8281.2.a.b \(1\) \(66.124\) \(\Q\) None \(-2\) \(2\) \(1\) \(0\) \(-\) \(-\) \(q-2q^{2}+2q^{3}+2q^{4}+q^{5}-4q^{6}+\cdots\)
8281.2.a.c \(1\) \(66.124\) \(\Q\) None \(-1\) \(-3\) \(-3\) \(0\) \(+\) \(+\) \(q-q^{2}-3q^{3}-q^{4}-3q^{5}+3q^{6}+3q^{8}+\cdots\)
8281.2.a.d \(1\) \(66.124\) \(\Q\) \(\Q(\sqrt{-7}) \) \(-1\) \(0\) \(0\) \(0\) \(-\) \(+\) \(q-q^{2}-q^{4}+3q^{8}-3q^{9}-4q^{11}+\cdots\)
8281.2.a.e \(1\) \(66.124\) \(\Q\) None \(-1\) \(0\) \(0\) \(0\) \(-\) \(+\) \(q-q^{2}-q^{4}+3q^{8}-3q^{9}+3q^{11}+\cdots\)
8281.2.a.f \(1\) \(66.124\) \(\Q\) None \(-1\) \(0\) \(0\) \(0\) \(+\) \(+\) \(q-q^{2}-q^{4}+3q^{8}-3q^{9}+3q^{11}+\cdots\)
8281.2.a.g \(1\) \(66.124\) \(\Q\) None \(-1\) \(3\) \(3\) \(0\) \(-\) \(+\) \(q-q^{2}+3q^{3}-q^{4}+3q^{5}-3q^{6}+3q^{8}+\cdots\)
8281.2.a.h \(1\) \(66.124\) \(\Q\) None \(0\) \(2\) \(-3\) \(0\) \(-\) \(+\) \(q+2q^{3}-2q^{4}-3q^{5}+q^{9}-4q^{12}+\cdots\)
8281.2.a.i \(1\) \(66.124\) \(\Q\) None \(1\) \(-3\) \(3\) \(0\) \(+\) \(+\) \(q+q^{2}-3q^{3}-q^{4}+3q^{5}-3q^{6}-3q^{8}+\cdots\)
8281.2.a.j \(1\) \(66.124\) \(\Q\) None \(1\) \(3\) \(-3\) \(0\) \(-\) \(+\) \(q+q^{2}+3q^{3}-q^{4}-3q^{5}+3q^{6}-3q^{8}+\cdots\)
8281.2.a.k \(1\) \(66.124\) \(\Q\) None \(2\) \(-2\) \(1\) \(0\) \(-\) \(-\) \(q+2q^{2}-2q^{3}+2q^{4}+q^{5}-4q^{6}+\cdots\)
8281.2.a.l \(1\) \(66.124\) \(\Q\) None \(2\) \(0\) \(-3\) \(0\) \(-\) \(+\) \(q+2q^{2}+2q^{4}-3q^{5}-3q^{9}-6q^{10}+\cdots\)
8281.2.a.m \(1\) \(66.124\) \(\Q\) None \(2\) \(2\) \(-1\) \(0\) \(-\) \(-\) \(q+2q^{2}+2q^{3}+2q^{4}-q^{5}+4q^{6}+\cdots\)
8281.2.a.n \(2\) \(66.124\) \(\Q(\sqrt{5}) \) None \(-3\) \(3\) \(3\) \(0\) \(-\) \(+\) \(q+(-1-\beta )q^{2}+(1+\beta )q^{3}+3\beta q^{4}+\cdots\)
8281.2.a.o \(2\) \(66.124\) \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(-2\) \(0\) \(-\) \(+\) \(q+(-1+\beta )q^{2}-\beta q^{3}+(1-2\beta )q^{4}+\cdots\)
8281.2.a.p \(2\) \(66.124\) \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(2\) \(0\) \(-\) \(+\) \(q+(-1+\beta )q^{2}+\beta q^{3}+(1-2\beta )q^{4}+\cdots\)
8281.2.a.q \(2\) \(66.124\) \(\Q(\sqrt{3}) \) None \(0\) \(-4\) \(0\) \(0\) \(-\) \(-\) \(q+\beta q^{2}-2q^{3}+q^{4}+\beta q^{5}-2\beta q^{6}+\cdots\)
8281.2.a.r \(2\) \(66.124\) \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(0\) \(0\) \(-\) \(+\) \(q+\beta q^{2}+(-1-\beta )q^{3}+q^{4}-\beta q^{5}+\cdots\)
8281.2.a.s \(2\) \(66.124\) \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(0\) \(0\) \(+\) \(-\) \(q+\beta q^{2}-q^{3}+q^{4}-\beta q^{5}-\beta q^{6}-\beta q^{8}+\cdots\)
8281.2.a.t \(2\) \(66.124\) \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(0\) \(0\) \(-\) \(+\) \(q+\beta q^{2}+(-1+\beta )q^{3}+q^{4}-\beta q^{5}+\cdots\)
8281.2.a.u \(2\) \(66.124\) \(\Q(\sqrt{13}) \) \(\Q(\sqrt{-91}) \) \(0\) \(0\) \(0\) \(0\) \(-\) \(-\) \(q-2q^{4}-\beta q^{5}-3q^{9}+4q^{16}-\beta q^{19}+\cdots\)
8281.2.a.v \(2\) \(66.124\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(6\) \(0\) \(-\) \(+\) \(q+\beta q^{2}-\beta q^{3}+(3-\beta )q^{5}-2q^{6}-2\beta q^{8}+\cdots\)
8281.2.a.w \(2\) \(66.124\) \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(0\) \(0\) \(-\) \(-\) \(q+\beta q^{2}+q^{3}+q^{4}+\beta q^{5}+\beta q^{6}-\beta q^{8}+\cdots\)
8281.2.a.x \(2\) \(66.124\) \(\Q(\sqrt{2}) \) None \(2\) \(0\) \(-2\) \(0\) \(-\) \(+\) \(q+(1+\beta )q^{2}-\beta q^{3}+(1+2\beta )q^{4}+(-1+\cdots)q^{5}+\cdots\)
8281.2.a.y \(2\) \(66.124\) \(\Q(\sqrt{2}) \) None \(2\) \(0\) \(2\) \(0\) \(-\) \(+\) \(q+(1+\beta )q^{2}+\beta q^{3}+(1+2\beta )q^{4}+(1+\cdots)q^{5}+\cdots\)
8281.2.a.z \(2\) \(66.124\) \(\Q(\sqrt{5}) \) None \(3\) \(0\) \(0\) \(0\) \(+\) \(+\) \(q+(1+\beta )q^{2}+(1-2\beta )q^{3}+3\beta q^{4}+(1+\cdots)q^{5}+\cdots\)
8281.2.a.ba \(2\) \(66.124\) \(\Q(\sqrt{5}) \) None \(3\) \(0\) \(0\) \(0\) \(-\) \(+\) \(q+(1+\beta )q^{2}+(-1+2\beta )q^{3}+3\beta q^{4}+\cdots\)
8281.2.a.bb \(2\) \(66.124\) \(\Q(\sqrt{5}) \) None \(3\) \(3\) \(-3\) \(0\) \(-\) \(+\) \(q+(1+\beta )q^{2}+(1+\beta )q^{3}+3\beta q^{4}+(-1+\cdots)q^{5}+\cdots\)
8281.2.a.bc \(3\) \(66.124\) \(\Q(\zeta_{14})^+\) \(\Q(\sqrt{-7}) \) \(-4\) \(0\) \(0\) \(0\) \(-\) \(-\) \(q+(-1-\beta _{1})q^{2}+(1+2\beta _{1}+\beta _{2})q^{4}+\cdots\)
8281.2.a.bd \(3\) \(66.124\) \(\Q(\zeta_{14})^+\) \(\Q(\sqrt{-7}) \) \(-3\) \(0\) \(0\) \(0\) \(-\) \(+\) \(q+(-1+\beta _{1}+\beta _{2})q^{2}+(4-\beta _{1})q^{4}+\cdots\)
8281.2.a.be \(3\) \(66.124\) 3.3.148.1 None \(-2\) \(0\) \(3\) \(0\) \(-\) \(-\) \(q+(-1+\beta _{1})q^{2}-\beta _{2}q^{3}+(1-\beta _{1}+\beta _{2})q^{4}+\cdots\)
8281.2.a.bf \(3\) \(66.124\) \(\Q(\zeta_{14})^+\) None \(-2\) \(2\) \(4\) \(0\) \(-\) \(+\) \(q+(-1-\beta _{2})q^{2}+(\beta _{1}-\beta _{2})q^{3}+(\beta _{1}+\cdots)q^{4}+\cdots\)
8281.2.a.bg \(3\) \(66.124\) 3.3.316.1 None \(-1\) \(2\) \(2\) \(0\) \(-\) \(+\) \(q-\beta _{1}q^{2}+(1-\beta _{1}+\beta _{2})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
8281.2.a.bh \(3\) \(66.124\) 3.3.404.1 None \(2\) \(-4\) \(5\) \(0\) \(-\) \(+\) \(q+(1-\beta _{1})q^{2}+(-1-\beta _{2})q^{3}+(2-\beta _{1}+\cdots)q^{4}+\cdots\)
8281.2.a.bi \(3\) \(66.124\) 3.3.148.1 None \(2\) \(0\) \(-3\) \(0\) \(-\) \(-\) \(q+(1-\beta _{1})q^{2}-\beta _{2}q^{3}+(1-\beta _{1}+\beta _{2})q^{4}+\cdots\)
8281.2.a.bj \(3\) \(66.124\) \(\Q(\zeta_{14})^+\) None \(2\) \(2\) \(-4\) \(0\) \(-\) \(-\) \(q+(1-\beta _{1})q^{2}+(1+\beta _{2})q^{3}+(1-2\beta _{1}+\cdots)q^{4}+\cdots\)
8281.2.a.bk \(3\) \(66.124\) 3.3.404.1 None \(2\) \(4\) \(-5\) \(0\) \(-\) \(+\) \(q+(1-\beta _{1})q^{2}+(1+\beta _{2})q^{3}+(2-\beta _{1}+\cdots)q^{4}+\cdots\)
8281.2.a.bl \(3\) \(66.124\) \(\Q(\zeta_{14})^+\) \(\Q(\sqrt{-7}) \) \(3\) \(0\) \(0\) \(0\) \(-\) \(-\) \(q+(1-\beta _{1}-\beta _{2})q^{2}+(4-\beta _{1})q^{4}+(5+\cdots)q^{8}+\cdots\)
8281.2.a.bm \(3\) \(66.124\) \(\Q(\zeta_{14})^+\) \(\Q(\sqrt{-7}) \) \(4\) \(0\) \(0\) \(0\) \(-\) \(+\) \(q+(1+\beta _{1})q^{2}+(1+2\beta _{1}+\beta _{2})q^{4}+(4+\cdots)q^{8}+\cdots\)
8281.2.a.bn \(4\) \(66.124\) \(\Q(\sqrt{2}, \sqrt{23})\) None \(-4\) \(0\) \(0\) \(0\) \(+\) \(+\) \(q-q^{2}+\beta _{2}q^{3}-q^{4}-\beta _{1}q^{5}-\beta _{2}q^{6}+\cdots\)
8281.2.a.bo \(4\) \(66.124\) 4.4.105456.1 None \(-2\) \(0\) \(0\) \(0\) \(-\) \(+\) \(q+\beta _{2}q^{2}+\beta _{1}q^{3}+(1-\beta _{2})q^{4}-\beta _{1}q^{5}+\cdots\)
8281.2.a.bp \(4\) \(66.124\) 4.4.27004.1 None \(-1\) \(-1\) \(7\) \(0\) \(-\) \(+\) \(q-\beta _{1}q^{2}+\beta _{3}q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+\cdots\)
8281.2.a.bq \(4\) \(66.124\) \(\Q(\sqrt{3}, \sqrt{7})\) None \(0\) \(-2\) \(0\) \(0\) \(-\) \(-\) \(q+\beta _{3}q^{2}+(-1-\beta _{2})q^{3}-\beta _{2}q^{4}-\beta _{3}q^{5}+\cdots\)
8281.2.a.br \(4\) \(66.124\) \(\Q(\sqrt{3}, \sqrt{13})\) None \(0\) \(0\) \(0\) \(0\) \(-\) \(-\) \(q-\beta _{2}q^{2}+q^{4}+\beta _{3}q^{5}+\beta _{2}q^{8}-3q^{9}+\cdots\)
8281.2.a.bs \(4\) \(66.124\) \(\Q(\sqrt{3}, \sqrt{7})\) None \(0\) \(2\) \(0\) \(0\) \(-\) \(-\) \(q+\beta _{3}q^{2}+(1+\beta _{2})q^{3}-\beta _{2}q^{4}+\beta _{3}q^{5}+\cdots\)
8281.2.a.bt \(4\) \(66.124\) 4.4.27004.1 None \(1\) \(-1\) \(-7\) \(0\) \(-\) \(+\) \(q+\beta _{1}q^{2}+\beta _{3}q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+\cdots\)
8281.2.a.bu \(4\) \(66.124\) 4.4.105456.1 None \(2\) \(0\) \(0\) \(0\) \(-\) \(+\) \(q-\beta _{2}q^{2}+\beta _{1}q^{3}+(1-\beta _{2})q^{4}+\beta _{1}q^{5}+\cdots\)
8281.2.a.bv \(4\) \(66.124\) \(\Q(\sqrt{2}, \sqrt{23})\) None \(4\) \(0\) \(0\) \(0\) \(+\) \(+\) \(q+q^{2}+\beta _{2}q^{3}-q^{4}+(-\beta _{1}+\beta _{2})q^{5}+\cdots\)
8281.2.a.bw \(5\) \(66.124\) 5.5.746052.1 None \(-4\) \(0\) \(-2\) \(0\) \(+\) \(+\) \(q+(-1+\beta _{1})q^{2}-\beta _{4}q^{3}+(2-\beta _{1}+\beta _{3}+\cdots)q^{4}+\cdots\)
8281.2.a.bx \(5\) \(66.124\) 5.5.746052.1 None \(-4\) \(0\) \(2\) \(0\) \(-\) \(+\) \(q+(-1+\beta _{1})q^{2}+\beta _{4}q^{3}+(2-\beta _{1}+\beta _{3}+\cdots)q^{4}+\cdots\)
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