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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
912.1.b.a \(1\) \(0.455\) \(\Q\) \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-57}) \) \(\Q(\sqrt{19}) \) \(0\) \(-1\) \(0\) \(0\) \(q-q^{3}+q^{9}+q^{19}+q^{25}-q^{27}+2q^{31}+\cdots\)
912.1.b.b \(1\) \(0.455\) \(\Q\) \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-57}) \) \(\Q(\sqrt{19}) \) \(0\) \(1\) \(0\) \(0\) \(q+q^{3}+q^{9}-q^{19}+q^{25}+q^{27}-2q^{31}+\cdots\)
912.1.bj.a \(2\) \(0.455\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(0\) \(q-\zeta_{6}q^{3}+(\zeta_{6}+\zeta_{6}^{2})q^{7}+\zeta_{6}^{2}q^{9}+\cdots\)
912.1.bj.b \(2\) \(0.455\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(0\) \(q+\zeta_{6}q^{3}+(-\zeta_{6}-\zeta_{6}^{2})q^{7}+\zeta_{6}^{2}q^{9}+\cdots\)
912.1.bl.a \(2\) \(0.455\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(2\) \(q+\zeta_{6}q^{3}+q^{7}+\zeta_{6}^{2}q^{9}-\zeta_{6}^{2}q^{13}+\cdots\)
912.1.cb.a \(6\) \(0.455\) \(\Q(\zeta_{18})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{18}^{8}q^{3}+(-\zeta_{18}^{2}-\zeta_{18}^{4})q^{7}+\cdots\)
912.1.ce.a \(6\) \(0.455\) \(\Q(\zeta_{18})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{18}^{8}q^{3}+(\zeta_{18}^{2}-\zeta_{18}^{4})q^{7}-\zeta_{18}^{7}q^{9}+\cdots\)
912.1.ce.b \(6\) \(0.455\) \(\Q(\zeta_{18})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{18}^{8}q^{3}+(-\zeta_{18}^{2}+\zeta_{18}^{4})q^{7}+\cdots\)
912.2.a.a \(1\) \(7.282\) \(\Q\) None None \(0\) \(-1\) \(-3\) \(3\) \(+\) \(q-q^{3}-3q^{5}+3q^{7}+q^{9}+q^{11}-2q^{13}+\cdots\)
912.2.a.b \(1\) \(7.282\) \(\Q\) None None \(0\) \(-1\) \(-2\) \(0\) \(+\) \(q-q^{3}-2q^{5}+q^{9}+6q^{13}+2q^{15}+\cdots\)
912.2.a.c \(1\) \(7.282\) \(\Q\) None None \(0\) \(-1\) \(0\) \(4\) \(-\) \(q-q^{3}+4q^{7}+q^{9}-4q^{13}+6q^{17}+\cdots\)
912.2.a.d \(1\) \(7.282\) \(\Q\) None None \(0\) \(-1\) \(1\) \(-3\) \(+\) \(q-q^{3}+q^{5}-3q^{7}+q^{9}+3q^{11}-6q^{13}+\cdots\)
912.2.a.e \(1\) \(7.282\) \(\Q\) None None \(0\) \(-1\) \(2\) \(0\) \(-\) \(q-q^{3}+2q^{5}+q^{9}+2q^{13}-2q^{15}+\cdots\)
912.2.a.f \(1\) \(7.282\) \(\Q\) None None \(0\) \(1\) \(-3\) \(-1\) \(+\) \(q+q^{3}-3q^{5}-q^{7}+q^{9}+5q^{11}-6q^{13}+\cdots\)
912.2.a.g \(1\) \(7.282\) \(\Q\) None None \(0\) \(1\) \(-3\) \(5\) \(-\) \(q+q^{3}-3q^{5}+5q^{7}+q^{9}-q^{11}+2q^{13}+\cdots\)
912.2.a.h \(1\) \(7.282\) \(\Q\) None None \(0\) \(1\) \(0\) \(-4\) \(+\) \(q+q^{3}-4q^{7}+q^{9}-4q^{11}-2q^{17}+\cdots\)
912.2.a.i \(1\) \(7.282\) \(\Q\) None None \(0\) \(1\) \(1\) \(3\) \(-\) \(q+q^{3}+q^{5}+3q^{7}+q^{9}+5q^{11}-2q^{13}+\cdots\)
912.2.a.j \(1\) \(7.282\) \(\Q\) None None \(0\) \(1\) \(2\) \(0\) \(-\) \(q+q^{3}+2q^{5}+q^{9}-2q^{11}+2q^{13}+\cdots\)
912.2.a.k \(1\) \(7.282\) \(\Q\) None None \(0\) \(1\) \(2\) \(0\) \(-\) \(q+q^{3}+2q^{5}+q^{9}+4q^{11}+2q^{13}+\cdots\)
912.2.a.l \(1\) \(7.282\) \(\Q\) None None \(0\) \(1\) \(4\) \(-4\) \(-\) \(q+q^{3}+4q^{5}-4q^{7}+q^{9}+4q^{11}+\cdots\)
912.2.a.m \(2\) \(7.282\) \(\Q(\sqrt{17}) \) None None \(0\) \(-2\) \(1\) \(-1\) \(+\) \(q-q^{3}+\beta q^{5}-\beta q^{7}+q^{9}+(-4+\beta )q^{11}+\cdots\)
912.2.a.n \(2\) \(7.282\) \(\Q(\sqrt{33}) \) None None \(0\) \(-2\) \(3\) \(-1\) \(-\) \(q-q^{3}+(1+\beta )q^{5}+(-1+\beta )q^{7}+q^{9}+\cdots\)
912.2.a.o \(2\) \(7.282\) \(\Q(\sqrt{41}) \) None None \(0\) \(2\) \(-1\) \(3\) \(-\) \(q+q^{3}-\beta q^{5}+(2-\beta )q^{7}+q^{9}+(-2+\cdots)q^{11}+\cdots\)
912.2.d.a \(12\) \(7.282\) 12.0.\(\cdots\).2 None None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{9}q^{3}+(-\beta _{2}+\beta _{3}+\beta _{10})q^{5}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
912.2.d.b \(24\) \(7.282\) None None \(0\) \(0\) \(0\) \(0\)
912.2.f.a \(2\) \(7.282\) \(\Q(\sqrt{-3}) \) None None \(0\) \(-3\) \(0\) \(-2\) \(q+(-1-\zeta_{6})q^{3}+(2-4\zeta_{6})q^{5}-q^{7}+\cdots\)
912.2.f.b \(2\) \(7.282\) \(\Q(\sqrt{-2}) \) None None \(0\) \(-2\) \(0\) \(8\) \(q+(-1+\beta )q^{3}+\beta q^{5}+4q^{7}+(-1+\cdots)q^{9}+\cdots\)
912.2.f.c \(2\) \(7.282\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-8\) \(q+\zeta_{6}q^{3}-4q^{7}-3q^{9}-4\zeta_{6}q^{13}+\cdots\)
912.2.f.d \(2\) \(7.282\) \(\Q(\sqrt{-2}) \) None None \(0\) \(2\) \(0\) \(8\) \(q+(1-\beta )q^{3}+\beta q^{5}+4q^{7}+(-1-2\beta )q^{9}+\cdots\)
912.2.f.e \(2\) \(7.282\) \(\Q(\sqrt{-3}) \) None None \(0\) \(3\) \(0\) \(-2\) \(q+(1+\zeta_{6})q^{3}+(2-4\zeta_{6})q^{5}-q^{7}+3\zeta_{6}q^{9}+\cdots\)
912.2.f.f \(4\) \(7.282\) \(\Q(\sqrt{2}, \sqrt{-5})\) None None \(0\) \(0\) \(0\) \(-4\) \(q+(-\beta _{1}-\beta _{2})q^{3}-\beta _{3}q^{5}-q^{7}+(-2+\cdots)q^{9}+\cdots\)
912.2.f.g \(4\) \(7.282\) \(\Q(\sqrt{-2}, \sqrt{-5})\) None None \(0\) \(0\) \(0\) \(4\) \(q-\beta _{1}q^{3}-\beta _{2}q^{5}+q^{7}+(2-\beta _{2})q^{9}+\cdots\)
912.2.f.h \(10\) \(7.282\) 10.0.\(\cdots\).1 None None \(0\) \(-1\) \(0\) \(2\) \(q-\beta _{1}q^{3}-\beta _{6}q^{5}+\beta _{4}q^{7}+\beta _{2}q^{9}+\cdots\)
912.2.f.i \(10\) \(7.282\) 10.0.\(\cdots\).1 None None \(0\) \(1\) \(0\) \(2\) \(q+\beta _{1}q^{3}-\beta _{6}q^{5}+\beta _{4}q^{7}+\beta _{2}q^{9}+\cdots\)
912.2.k.a \(2\) \(7.282\) \(\Q(\sqrt{-2}) \) None None \(0\) \(-2\) \(-4\) \(0\) \(q-q^{3}-2q^{5}+2\beta q^{7}+q^{9}-\beta q^{11}+\cdots\)
912.2.k.b \(2\) \(7.282\) \(\Q(\sqrt{-3}) \) None None \(0\) \(-2\) \(0\) \(0\) \(q-q^{3}+2\zeta_{6}q^{7}+q^{9}+2\zeta_{6}q^{11}-2\zeta_{6}q^{13}+\cdots\)
912.2.k.c \(2\) \(7.282\) \(\Q(\sqrt{-3}) \) None None \(0\) \(-2\) \(6\) \(0\) \(q-q^{3}+3q^{5}+\zeta_{6}q^{7}+q^{9}-3\zeta_{6}q^{11}+\cdots\)
912.2.k.d \(2\) \(7.282\) \(\Q(\sqrt{-2}) \) None None \(0\) \(2\) \(-4\) \(0\) \(q+q^{3}-2q^{5}-2\beta q^{7}+q^{9}+\beta q^{11}+\cdots\)
912.2.k.e \(2\) \(7.282\) \(\Q(\sqrt{-3}) \) None None \(0\) \(2\) \(0\) \(0\) \(q+q^{3}-2\zeta_{6}q^{7}+q^{9}-2\zeta_{6}q^{11}-2\zeta_{6}q^{13}+\cdots\)
912.2.k.f \(2\) \(7.282\) \(\Q(\sqrt{-3}) \) None None \(0\) \(2\) \(6\) \(0\) \(q+q^{3}+3q^{5}-\zeta_{6}q^{7}+q^{9}+3\zeta_{6}q^{11}+\cdots\)
912.2.k.g \(4\) \(7.282\) \(\Q(\sqrt{-3}, \sqrt{-11})\) None None \(0\) \(-4\) \(-2\) \(0\) \(q-q^{3}-\beta _{3}q^{5}+\beta _{1}q^{7}+q^{9}+\beta _{1}q^{11}+\cdots\)
912.2.k.h \(4\) \(7.282\) \(\Q(\sqrt{-3}, \sqrt{-11})\) None None \(0\) \(4\) \(-2\) \(0\) \(q+q^{3}-\beta _{3}q^{5}+\beta _{1}q^{7}+q^{9}+\beta _{1}q^{11}+\cdots\)
912.2.q.a \(2\) \(7.282\) \(\Q(\sqrt{-3}) \) None None \(0\) \(-1\) \(0\) \(-2\) \(q+(-1+\zeta_{6})q^{3}-q^{7}-\zeta_{6}q^{9}+2q^{11}+\cdots\)
912.2.q.b \(2\) \(7.282\) \(\Q(\sqrt{-3}) \) None None \(0\) \(-1\) \(0\) \(-2\) \(q+(-1+\zeta_{6})q^{3}-q^{7}-\zeta_{6}q^{9}+2q^{11}+\cdots\)
912.2.q.c \(2\) \(7.282\) \(\Q(\sqrt{-3}) \) None None \(0\) \(-1\) \(2\) \(10\) \(q+(-1+\zeta_{6})q^{3}+(2-2\zeta_{6})q^{5}+5q^{7}+\cdots\)
912.2.q.d \(2\) \(7.282\) \(\Q(\sqrt{-3}) \) None None \(0\) \(-1\) \(4\) \(6\) \(q+(-1+\zeta_{6})q^{3}+(4-4\zeta_{6})q^{5}+3q^{7}+\cdots\)
912.2.q.e \(2\) \(7.282\) \(\Q(\sqrt{-3}) \) None None \(0\) \(1\) \(-2\) \(6\) \(q+(1-\zeta_{6})q^{3}+(-2+2\zeta_{6})q^{5}+3q^{7}+\cdots\)
912.2.q.f \(2\) \(7.282\) \(\Q(\sqrt{-3}) \) None None \(0\) \(1\) \(0\) \(-6\) \(q+(1-\zeta_{6})q^{3}-3q^{7}-\zeta_{6}q^{9}-2q^{11}+\cdots\)
912.2.q.g \(4\) \(7.282\) \(\Q(\sqrt{-3}, \sqrt{7})\) None None \(0\) \(-2\) \(-2\) \(-8\) \(q+(-1-\beta _{2})q^{3}+(-1+\beta _{1}-\beta _{2})q^{5}+\cdots\)
912.2.q.h \(4\) \(7.282\) \(\Q(\sqrt{-3}, \sqrt{5})\) None None \(0\) \(-2\) \(-2\) \(0\) \(q+(-1-\beta _{1})q^{3}+(-1-\beta _{1}-\beta _{2})q^{5}+\cdots\)
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