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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 3 5 7 11
8085.2.a.a \(1\) \(64.559\) \(\Q\) None \(-2\) \(-1\) \(-1\) \(0\) \(+\) \(+\) \(-\) \(+\) \(q-2q^{2}-q^{3}+2q^{4}-q^{5}+2q^{6}+q^{9}+\cdots\)
8085.2.a.b \(1\) \(64.559\) \(\Q\) None \(-2\) \(-1\) \(-1\) \(0\) \(+\) \(+\) \(-\) \(-\) \(q-2q^{2}-q^{3}+2q^{4}-q^{5}+2q^{6}+q^{9}+\cdots\)
8085.2.a.c \(1\) \(64.559\) \(\Q\) None \(-2\) \(-1\) \(1\) \(0\) \(+\) \(-\) \(-\) \(-\) \(q-2q^{2}-q^{3}+2q^{4}+q^{5}+2q^{6}+q^{9}+\cdots\)
8085.2.a.d \(1\) \(64.559\) \(\Q\) None \(-2\) \(1\) \(-1\) \(0\) \(-\) \(+\) \(-\) \(+\) \(q-2q^{2}+q^{3}+2q^{4}-q^{5}-2q^{6}+q^{9}+\cdots\)
8085.2.a.e \(1\) \(64.559\) \(\Q\) None \(-2\) \(1\) \(1\) \(0\) \(-\) \(-\) \(+\) \(+\) \(q-2q^{2}+q^{3}+2q^{4}+q^{5}-2q^{6}+q^{9}+\cdots\)
8085.2.a.f \(1\) \(64.559\) \(\Q\) None \(-1\) \(-1\) \(-1\) \(0\) \(+\) \(+\) \(-\) \(+\) \(q-q^{2}-q^{3}-q^{4}-q^{5}+q^{6}+3q^{8}+\cdots\)
8085.2.a.g \(1\) \(64.559\) \(\Q\) None \(-1\) \(1\) \(-1\) \(0\) \(-\) \(+\) \(-\) \(-\) \(q-q^{2}+q^{3}-q^{4}-q^{5}-q^{6}+3q^{8}+\cdots\)
8085.2.a.h \(1\) \(64.559\) \(\Q\) None \(-1\) \(1\) \(1\) \(0\) \(-\) \(-\) \(-\) \(+\) \(q-q^{2}+q^{3}-q^{4}+q^{5}-q^{6}+3q^{8}+\cdots\)
8085.2.a.i \(1\) \(64.559\) \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) \(+\) \(+\) \(-\) \(+\) \(q-q^{3}-2q^{4}-q^{5}+q^{9}-q^{11}+2q^{12}+\cdots\)
8085.2.a.j \(1\) \(64.559\) \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) \(+\) \(+\) \(-\) \(+\) \(q-q^{3}-2q^{4}-q^{5}+q^{9}-q^{11}+2q^{12}+\cdots\)
8085.2.a.k \(1\) \(64.559\) \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) \(+\) \(+\) \(-\) \(+\) \(q-q^{3}-2q^{4}-q^{5}+q^{9}-q^{11}+2q^{12}+\cdots\)
8085.2.a.l \(1\) \(64.559\) \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) \(+\) \(+\) \(+\) \(-\) \(q-q^{3}-2q^{4}-q^{5}+q^{9}+q^{11}+2q^{12}+\cdots\)
8085.2.a.m \(1\) \(64.559\) \(\Q\) None \(0\) \(-1\) \(1\) \(0\) \(+\) \(-\) \(-\) \(+\) \(q-q^{3}-2q^{4}+q^{5}+q^{9}-q^{11}+2q^{12}+\cdots\)
8085.2.a.n \(1\) \(64.559\) \(\Q\) None \(0\) \(1\) \(1\) \(0\) \(-\) \(-\) \(+\) \(+\) \(q+q^{3}-2q^{4}+q^{5}+q^{9}-q^{11}-2q^{12}+\cdots\)
8085.2.a.o \(1\) \(64.559\) \(\Q\) None \(0\) \(1\) \(1\) \(0\) \(-\) \(-\) \(+\) \(+\) \(q+q^{3}-2q^{4}+q^{5}+q^{9}-q^{11}-2q^{12}+\cdots\)
8085.2.a.p \(1\) \(64.559\) \(\Q\) None \(0\) \(1\) \(1\) \(0\) \(-\) \(-\) \(-\) \(-\) \(q+q^{3}-2q^{4}+q^{5}+q^{9}+q^{11}-2q^{12}+\cdots\)
8085.2.a.q \(1\) \(64.559\) \(\Q\) None \(0\) \(1\) \(1\) \(0\) \(-\) \(-\) \(-\) \(-\) \(q+q^{3}-2q^{4}+q^{5}+q^{9}+q^{11}-2q^{12}+\cdots\)
8085.2.a.r \(1\) \(64.559\) \(\Q\) None \(1\) \(-1\) \(-1\) \(0\) \(+\) \(+\) \(-\) \(+\) \(q+q^{2}-q^{3}-q^{4}-q^{5}-q^{6}-3q^{8}+\cdots\)
8085.2.a.s \(1\) \(64.559\) \(\Q\) None \(1\) \(-1\) \(-1\) \(0\) \(+\) \(+\) \(-\) \(+\) \(q+q^{2}-q^{3}-q^{4}-q^{5}-q^{6}-3q^{8}+\cdots\)
8085.2.a.t \(1\) \(64.559\) \(\Q\) None \(1\) \(-1\) \(1\) \(0\) \(+\) \(-\) \(-\) \(-\) \(q+q^{2}-q^{3}-q^{4}+q^{5}-q^{6}-3q^{8}+\cdots\)
8085.2.a.u \(1\) \(64.559\) \(\Q\) None \(1\) \(1\) \(-1\) \(0\) \(-\) \(+\) \(-\) \(+\) \(q+q^{2}+q^{3}-q^{4}-q^{5}+q^{6}-3q^{8}+\cdots\)
8085.2.a.v \(1\) \(64.559\) \(\Q\) None \(1\) \(1\) \(1\) \(0\) \(-\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{3}-q^{4}+q^{5}+q^{6}-3q^{8}+\cdots\)
8085.2.a.w \(1\) \(64.559\) \(\Q\) None \(1\) \(1\) \(1\) \(0\) \(-\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{3}-q^{4}+q^{5}+q^{6}-3q^{8}+\cdots\)
8085.2.a.x \(1\) \(64.559\) \(\Q\) None \(2\) \(-1\) \(-1\) \(0\) \(+\) \(+\) \(-\) \(+\) \(q+2q^{2}-q^{3}+2q^{4}-q^{5}-2q^{6}+q^{9}+\cdots\)
8085.2.a.y \(1\) \(64.559\) \(\Q\) None \(2\) \(1\) \(1\) \(0\) \(-\) \(-\) \(+\) \(+\) \(q+2q^{2}+q^{3}+2q^{4}+q^{5}+2q^{6}+q^{9}+\cdots\)
8085.2.a.z \(1\) \(64.559\) \(\Q\) None \(2\) \(1\) \(1\) \(0\) \(-\) \(-\) \(-\) \(+\) \(q+2q^{2}+q^{3}+2q^{4}+q^{5}+2q^{6}+q^{9}+\cdots\)
8085.2.a.ba \(2\) \(64.559\) \(\Q(\sqrt{2}) \) None \(-2\) \(2\) \(2\) \(0\) \(-\) \(-\) \(-\) \(+\) \(q+(-1+\beta )q^{2}+q^{3}+(1-2\beta )q^{4}+q^{5}+\cdots\)
8085.2.a.bb \(2\) \(64.559\) \(\Q(\sqrt{17}) \) None \(-1\) \(2\) \(-2\) \(0\) \(-\) \(+\) \(-\) \(-\) \(q-\beta q^{2}+q^{3}+(2+\beta )q^{4}-q^{5}-\beta q^{6}+\cdots\)
8085.2.a.bc \(2\) \(64.559\) \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(-2\) \(0\) \(+\) \(+\) \(+\) \(-\) \(q+\beta q^{2}-q^{3}-q^{5}-\beta q^{6}-2\beta q^{8}+\cdots\)
8085.2.a.bd \(2\) \(64.559\) \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(2\) \(0\) \(+\) \(-\) \(-\) \(+\) \(q+\beta q^{2}-q^{3}+q^{4}+q^{5}-\beta q^{6}-\beta q^{8}+\cdots\)
8085.2.a.be \(2\) \(64.559\) \(\Q(\sqrt{6}) \) None \(0\) \(-2\) \(-2\) \(0\) \(+\) \(+\) \(-\) \(+\) \(q+\beta q^{2}-q^{3}+4q^{4}-q^{5}-\beta q^{6}+2\beta q^{8}+\cdots\)
8085.2.a.bf \(2\) \(64.559\) \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(2\) \(0\) \(-\) \(-\) \(-\) \(-\) \(q+\beta q^{2}+q^{3}+q^{5}+\beta q^{6}-2\beta q^{8}+\cdots\)
8085.2.a.bg \(2\) \(64.559\) \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(2\) \(0\) \(-\) \(-\) \(-\) \(-\) \(q+\beta q^{2}+q^{3}+q^{5}+\beta q^{6}-2\beta q^{8}+\cdots\)
8085.2.a.bh \(2\) \(64.559\) \(\Q(\sqrt{3}) \) None \(2\) \(2\) \(2\) \(0\) \(-\) \(-\) \(-\) \(+\) \(q+(1+\beta )q^{2}+q^{3}+(2+2\beta )q^{4}+q^{5}+\cdots\)
8085.2.a.bi \(3\) \(64.559\) 3.3.148.1 None \(-2\) \(-3\) \(-3\) \(0\) \(+\) \(+\) \(-\) \(-\) \(q+(-1+\beta _{1})q^{2}-q^{3}+(1-\beta _{1}+\beta _{2})q^{4}+\cdots\)
8085.2.a.bj \(3\) \(64.559\) 3.3.148.1 None \(-2\) \(3\) \(3\) \(0\) \(-\) \(-\) \(-\) \(-\) \(q+(-1+\beta _{1})q^{2}+q^{3}+(1-\beta _{1}+\beta _{2})q^{4}+\cdots\)
8085.2.a.bk \(3\) \(64.559\) 3.3.148.1 None \(-1\) \(-3\) \(-3\) \(0\) \(+\) \(+\) \(-\) \(-\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{1}+\beta _{2})q^{4}-q^{5}+\cdots\)
8085.2.a.bl \(3\) \(64.559\) 3.3.316.1 None \(1\) \(-3\) \(-3\) \(0\) \(+\) \(+\) \(-\) \(-\) \(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-q^{5}-\beta _{1}q^{6}+\cdots\)
8085.2.a.bm \(3\) \(64.559\) 3.3.316.1 None \(1\) \(3\) \(-3\) \(0\) \(-\) \(+\) \(-\) \(+\) \(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}-q^{5}+\beta _{1}q^{6}+\cdots\)
8085.2.a.bn \(4\) \(64.559\) 4.4.13448.1 None \(0\) \(-4\) \(4\) \(0\) \(+\) \(-\) \(-\) \(+\) \(q+\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}+q^{5}-\beta _{1}q^{6}+\cdots\)
8085.2.a.bo \(4\) \(64.559\) 4.4.34196.1 None \(1\) \(-4\) \(-4\) \(0\) \(+\) \(+\) \(-\) \(+\) \(q+(-\beta _{1}-\beta _{2})q^{2}-q^{3}+(2-\beta _{2})q^{4}+\cdots\)
8085.2.a.bp \(4\) \(64.559\) 4.4.34196.1 None \(1\) \(4\) \(4\) \(0\) \(-\) \(-\) \(-\) \(+\) \(q+(-\beta _{1}-\beta _{2})q^{2}+q^{3}+(2-\beta _{2})q^{4}+\cdots\)
8085.2.a.bq \(4\) \(64.559\) 4.4.7232.1 None \(2\) \(4\) \(-4\) \(0\) \(-\) \(+\) \(-\) \(-\) \(q-\beta _{2}q^{2}+q^{3}+(1-\beta _{2}-\beta _{3})q^{4}-q^{5}+\cdots\)
8085.2.a.br \(5\) \(64.559\) 5.5.833376.1 None \(0\) \(-5\) \(5\) \(0\) \(+\) \(-\) \(+\) \(+\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+q^{5}+\beta _{1}q^{6}+\cdots\)
8085.2.a.bs \(5\) \(64.559\) 5.5.833376.1 None \(0\) \(-5\) \(5\) \(0\) \(+\) \(-\) \(-\) \(+\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+q^{5}+\beta _{1}q^{6}+\cdots\)
8085.2.a.bt \(5\) \(64.559\) 5.5.833376.1 None \(0\) \(5\) \(-5\) \(0\) \(-\) \(+\) \(-\) \(+\) \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}-q^{5}-\beta _{1}q^{6}+\cdots\)
8085.2.a.bu \(5\) \(64.559\) 5.5.833376.1 None \(0\) \(5\) \(-5\) \(0\) \(-\) \(+\) \(-\) \(+\) \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}-q^{5}-\beta _{1}q^{6}+\cdots\)
8085.2.a.bv \(5\) \(64.559\) 5.5.352076.1 None \(1\) \(-5\) \(5\) \(0\) \(+\) \(-\) \(-\) \(-\) \(q-\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}+q^{5}+\beta _{1}q^{6}+\cdots\)
8085.2.a.bw \(6\) \(64.559\) 6.6.2803712.1 None \(0\) \(-6\) \(6\) \(0\) \(+\) \(-\) \(+\) \(-\) \(q+\beta _{1}q^{2}-q^{3}+\beta _{2}q^{4}+q^{5}-\beta _{1}q^{6}+\cdots\)
8085.2.a.bx \(6\) \(64.559\) 6.6.127775712.1 None \(0\) \(-6\) \(6\) \(0\) \(+\) \(-\) \(-\) \(-\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+q^{5}+\beta _{1}q^{6}+\cdots\)
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