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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 19
2166.2.a.a \(1\) \(17.296\) \(\Q\) None \(-1\) \(-1\) \(0\) \(-4\) \(+\) \(+\) \(-\) \(q-q^{2}-q^{3}+q^{4}+q^{6}-4q^{7}-q^{8}+\cdots\)
2166.2.a.b \(1\) \(17.296\) \(\Q\) None \(-1\) \(-1\) \(0\) \(1\) \(+\) \(+\) \(+\) \(q-q^{2}-q^{3}+q^{4}+q^{6}+q^{7}-q^{8}+\cdots\)
2166.2.a.c \(1\) \(17.296\) \(\Q\) None \(-1\) \(1\) \(-4\) \(-3\) \(+\) \(-\) \(-\) \(q-q^{2}+q^{3}+q^{4}-4q^{5}-q^{6}-3q^{7}+\cdots\)
2166.2.a.d \(1\) \(17.296\) \(\Q\) None \(-1\) \(1\) \(2\) \(0\) \(+\) \(-\) \(-\) \(q-q^{2}+q^{3}+q^{4}+2q^{5}-q^{6}-q^{8}+\cdots\)
2166.2.a.e \(1\) \(17.296\) \(\Q\) None \(-1\) \(1\) \(2\) \(4\) \(+\) \(-\) \(+\) \(q-q^{2}+q^{3}+q^{4}+2q^{5}-q^{6}+4q^{7}+\cdots\)
2166.2.a.f \(1\) \(17.296\) \(\Q\) None \(1\) \(-1\) \(-4\) \(-3\) \(-\) \(+\) \(+\) \(q+q^{2}-q^{3}+q^{4}-4q^{5}-q^{6}-3q^{7}+\cdots\)
2166.2.a.g \(1\) \(17.296\) \(\Q\) None \(1\) \(-1\) \(2\) \(4\) \(-\) \(+\) \(+\) \(q+q^{2}-q^{3}+q^{4}+2q^{5}-q^{6}+4q^{7}+\cdots\)
2166.2.a.h \(1\) \(17.296\) \(\Q\) None \(1\) \(1\) \(0\) \(1\) \(-\) \(-\) \(-\) \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{7}+q^{8}+\cdots\)
2166.2.a.i \(1\) \(17.296\) \(\Q\) None \(1\) \(1\) \(0\) \(4\) \(-\) \(-\) \(-\) \(q+q^{2}+q^{3}+q^{4}+q^{6}+4q^{7}+q^{8}+\cdots\)
2166.2.a.j \(2\) \(17.296\) \(\Q(\sqrt{5}) \) None \(-2\) \(-2\) \(5\) \(3\) \(+\) \(+\) \(-\) \(q-q^{2}-q^{3}+q^{4}+(3-\beta )q^{5}+q^{6}+\cdots\)
2166.2.a.k \(2\) \(17.296\) \(\Q(\sqrt{5}) \) None \(-2\) \(2\) \(-1\) \(0\) \(+\) \(-\) \(-\) \(q-q^{2}+q^{3}+q^{4}-\beta q^{5}-q^{6}-q^{8}+\cdots\)
2166.2.a.l \(2\) \(17.296\) \(\Q(\sqrt{5}) \) None \(2\) \(-2\) \(-1\) \(0\) \(-\) \(+\) \(-\) \(q+q^{2}-q^{3}+q^{4}-\beta q^{5}-q^{6}+q^{8}+\cdots\)
2166.2.a.m \(2\) \(17.296\) \(\Q(\sqrt{5}) \) None \(2\) \(2\) \(5\) \(3\) \(-\) \(-\) \(-\) \(q+q^{2}+q^{3}+q^{4}+(3-\beta )q^{5}+q^{6}+\cdots\)
2166.2.a.n \(3\) \(17.296\) \(\Q(\zeta_{18})^+\) None \(-3\) \(-3\) \(-6\) \(-3\) \(+\) \(+\) \(-\) \(q-q^{2}-q^{3}+q^{4}+(-2-\beta _{1})q^{5}+q^{6}+\cdots\)
2166.2.a.o \(3\) \(17.296\) \(\Q(\zeta_{18})^+\) None \(-3\) \(-3\) \(0\) \(-3\) \(+\) \(+\) \(+\) \(q-q^{2}-q^{3}+q^{4}+(-\beta _{1}-\beta _{2})q^{5}+\cdots\)
2166.2.a.p \(3\) \(17.296\) \(\Q(\zeta_{18})^+\) None \(-3\) \(3\) \(-6\) \(3\) \(+\) \(-\) \(-\) \(q-q^{2}+q^{3}+q^{4}+(-2+\beta _{1})q^{5}-q^{6}+\cdots\)
2166.2.a.q \(3\) \(17.296\) \(\Q(\zeta_{18})^+\) None \(-3\) \(3\) \(0\) \(-9\) \(+\) \(-\) \(+\) \(q-q^{2}+q^{3}+q^{4}+(-2\beta _{1}+\beta _{2})q^{5}+\cdots\)
2166.2.a.r \(3\) \(17.296\) \(\Q(\zeta_{18})^+\) None \(3\) \(-3\) \(-6\) \(3\) \(-\) \(+\) \(+\) \(q+q^{2}-q^{3}+q^{4}+(-2+\beta _{1})q^{5}-q^{6}+\cdots\)
2166.2.a.s \(3\) \(17.296\) \(\Q(\zeta_{18})^+\) None \(3\) \(-3\) \(0\) \(-9\) \(-\) \(+\) \(-\) \(q+q^{2}-q^{3}+q^{4}+(-2\beta _{1}+\beta _{2})q^{5}+\cdots\)
2166.2.a.t \(3\) \(17.296\) \(\Q(\zeta_{18})^+\) None \(3\) \(3\) \(-6\) \(-3\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{3}+q^{4}+(-2-\beta _{1})q^{5}+q^{6}+\cdots\)
2166.2.a.u \(3\) \(17.296\) \(\Q(\zeta_{18})^+\) None \(3\) \(3\) \(0\) \(-3\) \(-\) \(-\) \(-\) \(q+q^{2}+q^{3}+q^{4}+(-\beta _{1}-\beta _{2})q^{5}+\cdots\)
2166.2.a.v \(4\) \(17.296\) 4.4.40025.1 None \(-4\) \(-4\) \(2\) \(3\) \(+\) \(+\) \(-\) \(q-q^{2}-q^{3}+q^{4}+\beta _{1}q^{5}+q^{6}+(1+\cdots)q^{7}+\cdots\)
2166.2.a.w \(4\) \(17.296\) \(\Q(\zeta_{20})^+\) None \(-4\) \(4\) \(8\) \(6\) \(+\) \(-\) \(+\) \(q-q^{2}+q^{3}+q^{4}+(2+\beta _{1})q^{5}-q^{6}+\cdots\)
2166.2.a.x \(4\) \(17.296\) \(\Q(\zeta_{20})^+\) None \(4\) \(-4\) \(8\) \(6\) \(-\) \(+\) \(+\) \(q+q^{2}-q^{3}+q^{4}+(2+\beta _{1})q^{5}-q^{6}+\cdots\)
2166.2.a.y \(4\) \(17.296\) 4.4.40025.1 None \(4\) \(4\) \(2\) \(3\) \(-\) \(-\) \(-\) \(q+q^{2}+q^{3}+q^{4}+\beta _{1}q^{5}+q^{6}+(1+\cdots)q^{7}+\cdots\)
2166.4.a.a \(1\) \(127.798\) \(\Q\) None \(-2\) \(3\) \(-11\) \(-15\) \(+\) \(-\) \(-\) \(q-2q^{2}+3q^{3}+4q^{4}-11q^{5}-6q^{6}+\cdots\)
2166.4.a.b \(1\) \(127.798\) \(\Q\) None \(-2\) \(3\) \(-6\) \(19\) \(+\) \(-\) \(+\) \(q-2q^{2}+3q^{3}+4q^{4}-6q^{5}-6q^{6}+\cdots\)
2166.4.a.c \(1\) \(127.798\) \(\Q\) None \(-2\) \(3\) \(2\) \(-21\) \(+\) \(-\) \(+\) \(q-2q^{2}+3q^{3}+4q^{4}+2q^{5}-6q^{6}+\cdots\)
2166.4.a.d \(1\) \(127.798\) \(\Q\) None \(2\) \(-3\) \(-7\) \(-15\) \(-\) \(+\) \(-\) \(q+2q^{2}-3q^{3}+4q^{4}-7q^{5}-6q^{6}+\cdots\)
2166.4.a.e \(1\) \(127.798\) \(\Q\) None \(2\) \(-3\) \(-6\) \(19\) \(-\) \(+\) \(-\) \(q+2q^{2}-3q^{3}+4q^{4}-6q^{5}-6q^{6}+\cdots\)
2166.4.a.f \(1\) \(127.798\) \(\Q\) None \(2\) \(-3\) \(2\) \(-21\) \(-\) \(+\) \(-\) \(q+2q^{2}-3q^{3}+4q^{4}+2q^{5}-6q^{6}+\cdots\)
2166.4.a.g \(1\) \(127.798\) \(\Q\) None \(2\) \(-3\) \(12\) \(4\) \(-\) \(+\) \(-\) \(q+2q^{2}-3q^{3}+4q^{4}+12q^{5}-6q^{6}+\cdots\)
2166.4.a.h \(1\) \(127.798\) \(\Q\) None \(2\) \(3\) \(-19\) \(9\) \(-\) \(-\) \(-\) \(q+2q^{2}+3q^{3}+4q^{4}-19q^{5}+6q^{6}+\cdots\)
2166.4.a.i \(1\) \(127.798\) \(\Q\) None \(2\) \(3\) \(6\) \(-16\) \(-\) \(-\) \(-\) \(q+2q^{2}+3q^{3}+4q^{4}+6q^{5}+6q^{6}+\cdots\)
2166.4.a.j \(2\) \(127.798\) \(\Q(\sqrt{5}) \) None \(-4\) \(-6\) \(-13\) \(-17\) \(+\) \(+\) \(-\) \(q-2q^{2}-3q^{3}+4q^{4}+(-4-5\beta )q^{5}+\cdots\)
2166.4.a.k \(2\) \(127.798\) \(\Q(\sqrt{30}) \) None \(-4\) \(-6\) \(8\) \(18\) \(+\) \(+\) \(-\) \(q-2q^{2}-3q^{3}+4q^{4}+(4+\beta )q^{5}+6q^{6}+\cdots\)
2166.4.a.l \(2\) \(127.798\) \(\Q(\sqrt{273}) \) None \(-4\) \(-6\) \(11\) \(9\) \(+\) \(+\) \(-\) \(q-2q^{2}-3q^{3}+4q^{4}+(6-\beta )q^{5}+6q^{6}+\cdots\)
2166.4.a.m \(2\) \(127.798\) \(\Q(\sqrt{313}) \) None \(-4\) \(6\) \(-15\) \(9\) \(+\) \(-\) \(+\) \(q-2q^{2}+3q^{3}+4q^{4}+(-7-\beta )q^{5}+\cdots\)
2166.4.a.n \(2\) \(127.798\) \(\Q(\sqrt{17}) \) None \(-4\) \(6\) \(18\) \(4\) \(+\) \(-\) \(-\) \(q-2q^{2}+3q^{3}+4q^{4}+(9+\beta )q^{5}-6q^{6}+\cdots\)
2166.4.a.o \(2\) \(127.798\) \(\Q(\sqrt{313}) \) None \(4\) \(-6\) \(-15\) \(9\) \(-\) \(+\) \(+\) \(q+2q^{2}-3q^{3}+4q^{4}+(-7-\beta )q^{5}+\cdots\)
2166.4.a.p \(2\) \(127.798\) \(\Q(\sqrt{5}) \) None \(4\) \(6\) \(-13\) \(-17\) \(-\) \(-\) \(-\) \(q+2q^{2}+3q^{3}+4q^{4}+(-4-5\beta )q^{5}+\cdots\)
2166.4.a.q \(2\) \(127.798\) \(\Q(\sqrt{30}) \) None \(4\) \(6\) \(8\) \(18\) \(-\) \(-\) \(+\) \(q+2q^{2}+3q^{3}+4q^{4}+(4+\beta )q^{5}+6q^{6}+\cdots\)
2166.4.a.r \(3\) \(127.798\) 3.3.373564.1 None \(-6\) \(-9\) \(-5\) \(-11\) \(+\) \(+\) \(+\) \(q-2q^{2}-3q^{3}+4q^{4}+(-2+\beta _{2})q^{5}+\cdots\)
2166.4.a.s \(3\) \(127.798\) 3.3.1524.1 None \(-6\) \(-9\) \(2\) \(-17\) \(+\) \(+\) \(+\) \(q-2q^{2}-3q^{3}+4q^{4}+(1-\beta _{2})q^{5}+\cdots\)
2166.4.a.t \(3\) \(127.798\) 3.3.14457.1 None \(-6\) \(9\) \(10\) \(7\) \(+\) \(-\) \(-\) \(q-2q^{2}+3q^{3}+4q^{4}+(3-\beta _{1})q^{5}+\cdots\)
2166.4.a.u \(3\) \(127.798\) 3.3.14457.1 None \(6\) \(-9\) \(10\) \(7\) \(-\) \(+\) \(+\) \(q+2q^{2}-3q^{3}+4q^{4}+(3-\beta _{1})q^{5}+\cdots\)
2166.4.a.v \(3\) \(127.798\) 3.3.373564.1 None \(6\) \(9\) \(-5\) \(-11\) \(-\) \(-\) \(+\) \(q+2q^{2}+3q^{3}+4q^{4}+(-2+\beta _{2})q^{5}+\cdots\)
2166.4.a.w \(3\) \(127.798\) 3.3.1524.1 None \(6\) \(9\) \(2\) \(-17\) \(-\) \(-\) \(-\) \(q+2q^{2}+3q^{3}+4q^{4}+(1-\beta _{2})q^{5}+\cdots\)
2166.4.a.x \(4\) \(127.798\) 4.4.184225.1 None \(-8\) \(-12\) \(-28\) \(-17\) \(+\) \(+\) \(-\) \(q-2q^{2}-3q^{3}+4q^{4}+(-7+2\beta _{2}+\cdots)q^{5}+\cdots\)
2166.4.a.y \(4\) \(127.798\) 4.4.8742025.2 None \(-8\) \(12\) \(0\) \(28\) \(+\) \(-\) \(-\) \(q-2q^{2}+3q^{3}+4q^{4}+(\beta _{1}+\beta _{3})q^{5}+\cdots\)
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