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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
960.1.c.a \(4\) \(0.479\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{8}^{3}q^{3}+\zeta_{8}^{2}q^{5}+(\zeta_{8}+\zeta_{8}^{3})q^{7}+\cdots\)
960.1.u.a \(4\) \(0.479\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-6}) \) None \(0\) \(0\) \(0\) \(-4\) \(q-\zeta_{8}^{3}q^{3}-\zeta_{8}^{3}q^{5}+(-1-\zeta_{8}^{2})q^{7}+\cdots\)
960.1.u.b \(4\) \(0.479\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-6}) \) None \(0\) \(0\) \(0\) \(4\) \(q-\zeta_{8}^{3}q^{3}+\zeta_{8}^{3}q^{5}+(1+\zeta_{8}^{2})q^{7}+\cdots\)
960.1.bm.a \(4\) \(0.479\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{8}q^{3}-\zeta_{8}^{3}q^{5}+\zeta_{8}^{2}q^{9}+q^{15}+\cdots\)
960.1.cl.a \(16\) \(0.479\) \(\Q(\zeta_{32})\) \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{32}^{13}q^{2}+\zeta_{32}q^{3}-\zeta_{32}^{10}q^{4}+\cdots\)
960.2.a.a \(1\) \(7.666\) \(\Q\) None None \(0\) \(-1\) \(-1\) \(0\) \(-\) \(q-q^{3}-q^{5}+q^{9}-4q^{11}+2q^{13}+\cdots\)
960.2.a.b \(1\) \(7.666\) \(\Q\) None None \(0\) \(-1\) \(-1\) \(0\) \(+\) \(q-q^{3}-q^{5}+q^{9}-2q^{13}+q^{15}+6q^{17}+\cdots\)
960.2.a.c \(1\) \(7.666\) \(\Q\) None None \(0\) \(-1\) \(-1\) \(0\) \(+\) \(q-q^{3}-q^{5}+q^{9}+4q^{11}-6q^{13}+\cdots\)
960.2.a.d \(1\) \(7.666\) \(\Q\) None None \(0\) \(-1\) \(-1\) \(4\) \(-\) \(q-q^{3}-q^{5}+4q^{7}+q^{9}+2q^{13}+q^{15}+\cdots\)
960.2.a.e \(1\) \(7.666\) \(\Q\) None None \(0\) \(-1\) \(1\) \(-4\) \(-\) \(q-q^{3}+q^{5}-4q^{7}+q^{9}-2q^{13}-q^{15}+\cdots\)
960.2.a.f \(1\) \(7.666\) \(\Q\) None None \(0\) \(-1\) \(1\) \(0\) \(+\) \(q-q^{3}+q^{5}+q^{9}-4q^{11}-2q^{13}+\cdots\)
960.2.a.g \(1\) \(7.666\) \(\Q\) None None \(0\) \(-1\) \(1\) \(4\) \(-\) \(q-q^{3}+q^{5}+4q^{7}+q^{9}+6q^{13}-q^{15}+\cdots\)
960.2.a.h \(1\) \(7.666\) \(\Q\) None None \(0\) \(-1\) \(1\) \(4\) \(-\) \(q-q^{3}+q^{5}+4q^{7}+q^{9}+4q^{11}-6q^{13}+\cdots\)
960.2.a.i \(1\) \(7.666\) \(\Q\) None None \(0\) \(1\) \(-1\) \(-4\) \(+\) \(q+q^{3}-q^{5}-4q^{7}+q^{9}+2q^{13}-q^{15}+\cdots\)
960.2.a.j \(1\) \(7.666\) \(\Q\) None None \(0\) \(1\) \(-1\) \(0\) \(+\) \(q+q^{3}-q^{5}+q^{9}-4q^{11}-6q^{13}+\cdots\)
960.2.a.k \(1\) \(7.666\) \(\Q\) None None \(0\) \(1\) \(-1\) \(0\) \(-\) \(q+q^{3}-q^{5}+q^{9}-2q^{13}-q^{15}+6q^{17}+\cdots\)
960.2.a.l \(1\) \(7.666\) \(\Q\) None None \(0\) \(1\) \(-1\) \(0\) \(-\) \(q+q^{3}-q^{5}+q^{9}+4q^{11}+2q^{13}+\cdots\)
960.2.a.m \(1\) \(7.666\) \(\Q\) None None \(0\) \(1\) \(1\) \(-4\) \(+\) \(q+q^{3}+q^{5}-4q^{7}+q^{9}-4q^{11}-6q^{13}+\cdots\)
960.2.a.n \(1\) \(7.666\) \(\Q\) None None \(0\) \(1\) \(1\) \(-4\) \(-\) \(q+q^{3}+q^{5}-4q^{7}+q^{9}+6q^{13}+q^{15}+\cdots\)
960.2.a.o \(1\) \(7.666\) \(\Q\) None None \(0\) \(1\) \(1\) \(0\) \(-\) \(q+q^{3}+q^{5}+q^{9}+4q^{11}-2q^{13}+\cdots\)
960.2.a.p \(1\) \(7.666\) \(\Q\) None None \(0\) \(1\) \(1\) \(4\) \(-\) \(q+q^{3}+q^{5}+4q^{7}+q^{9}-2q^{13}+q^{15}+\cdots\)
960.2.b.a \(4\) \(7.666\) \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(-4\) \(0\) \(q+\zeta_{8}q^{3}-q^{5}+(\zeta_{8}-\zeta_{8}^{2})q^{7}+(1-\zeta_{8}^{3})q^{9}+\cdots\)
960.2.b.b \(4\) \(7.666\) \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(4\) \(0\) \(q-\zeta_{8}^{2}q^{3}+q^{5}+(-\zeta_{8}+\zeta_{8}^{2})q^{7}+\cdots\)
960.2.b.c \(12\) \(7.666\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None None \(0\) \(0\) \(-12\) \(0\) \(q-\beta _{5}q^{3}-q^{5}+(-\beta _{4}+\beta _{5}+\beta _{6})q^{7}+\cdots\)
960.2.b.d \(12\) \(7.666\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None None \(0\) \(0\) \(12\) \(0\) \(q-\beta _{4}q^{3}+q^{5}+(-\beta _{4}+\beta _{5}+\beta _{6})q^{7}+\cdots\)
960.2.d.a \(2\) \(7.666\) \(\Q(\sqrt{-1}) \) None None \(0\) \(-2\) \(-2\) \(0\) \(q-q^{3}+(-1-i)q^{5}+iq^{7}+q^{9}-iq^{11}+\cdots\)
960.2.d.b \(2\) \(7.666\) \(\Q(\sqrt{-1}) \) None None \(0\) \(-2\) \(2\) \(0\) \(q-q^{3}+(1-i)q^{5}+iq^{7}+q^{9}+iq^{11}+\cdots\)
960.2.d.c \(2\) \(7.666\) \(\Q(\sqrt{-1}) \) None None \(0\) \(2\) \(-2\) \(0\) \(q+q^{3}+(-1+i)q^{5}+iq^{7}+q^{9}-iq^{11}+\cdots\)
960.2.d.d \(2\) \(7.666\) \(\Q(\sqrt{-1}) \) None None \(0\) \(2\) \(2\) \(0\) \(q+q^{3}+(1+i)q^{5}+iq^{7}+q^{9}+iq^{11}+\cdots\)
960.2.d.e \(8\) \(7.666\) 8.0.49787136.1 None None \(0\) \(-8\) \(0\) \(0\) \(q-q^{3}-\beta _{4}q^{5}+(-\beta _{4}+\beta _{5})q^{7}+q^{9}+\cdots\)
960.2.d.f \(8\) \(7.666\) 8.0.49787136.1 None None \(0\) \(8\) \(0\) \(0\) \(q+q^{3}+\beta _{4}q^{5}+(-\beta _{4}+\beta _{5})q^{7}+q^{9}+\cdots\)
960.2.f.a \(2\) \(7.666\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(-4\) \(0\) \(q-iq^{3}+(-2+i)q^{5}+2iq^{7}-q^{9}+\cdots\)
960.2.f.b \(2\) \(7.666\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(-4\) \(0\) \(q-iq^{3}+(-2-i)q^{5}+2iq^{7}-q^{9}+\cdots\)
960.2.f.c \(2\) \(7.666\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(-2\) \(0\) \(q+iq^{3}+(-1-2i)q^{5}+4iq^{7}-q^{9}+\cdots\)
960.2.f.d \(2\) \(7.666\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(-2\) \(0\) \(q-iq^{3}+(-1-2i)q^{5}+4iq^{7}-q^{9}+\cdots\)
960.2.f.e \(2\) \(7.666\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(-2\) \(0\) \(q-iq^{3}+(-1+2i)q^{5}+4iq^{7}-q^{9}+\cdots\)
960.2.f.f \(2\) \(7.666\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(-2\) \(0\) \(q+iq^{3}+(-1+2i)q^{5}+4iq^{7}-q^{9}+\cdots\)
960.2.f.g \(2\) \(7.666\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(4\) \(0\) \(q+iq^{3}+(2-i)q^{5}+2iq^{7}-q^{9}-6q^{11}+\cdots\)
960.2.f.h \(2\) \(7.666\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(4\) \(0\) \(q-iq^{3}+(2+i)q^{5}+2iq^{7}-q^{9}-2q^{11}+\cdots\)
960.2.f.i \(2\) \(7.666\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(4\) \(0\) \(q-iq^{3}+(2-i)q^{5}+2iq^{7}-q^{9}+2q^{11}+\cdots\)
960.2.f.j \(2\) \(7.666\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(4\) \(0\) \(q+iq^{3}+(2+i)q^{5}+2iq^{7}-q^{9}+6q^{11}+\cdots\)
960.2.f.k \(4\) \(7.666\) \(\Q(i, \sqrt{5})\) None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{3}-\beta _{2}q^{5}+2\beta _{1}q^{7}-q^{9}+2\beta _{3}q^{11}+\cdots\)
960.2.h.a \(4\) \(7.666\) \(\Q(\zeta_{8})\) None None \(0\) \(-4\) \(0\) \(0\) \(q+(-1+\zeta_{8}^{2})q^{3}-\zeta_{8}q^{5}+(2\zeta_{8}+2\zeta_{8}^{2}+\cdots)q^{7}+\cdots\)
960.2.h.b \(4\) \(7.666\) \(\Q(\zeta_{8})\) None None \(0\) \(-4\) \(0\) \(0\) \(q+(-1-\zeta_{8}^{2}+\zeta_{8}^{3})q^{3}-\zeta_{8}^{2}q^{5}+\cdots\)
960.2.h.c \(4\) \(7.666\) \(\Q(i, \sqrt{6})\) None None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{1}q^{3}+\beta _{2}q^{5}+(\beta _{1}+\beta _{3})q^{7}+3\beta _{2}q^{9}+\cdots\)
960.2.h.d \(4\) \(7.666\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}^{3}q^{3}-\zeta_{12}q^{5}-2\zeta_{12}^{2}q^{7}+\cdots\)
960.2.h.e \(4\) \(7.666\) \(\Q(\zeta_{8})\) None None \(0\) \(4\) \(0\) \(0\) \(q+(1+\zeta_{8}^{2})q^{3}+\zeta_{8}q^{5}+(2\zeta_{8}+2\zeta_{8}^{2}+\cdots)q^{7}+\cdots\)
960.2.h.f \(4\) \(7.666\) \(\Q(\zeta_{8})\) None None \(0\) \(4\) \(0\) \(0\) \(q+(1+\zeta_{8}-\zeta_{8}^{2})q^{3}+\zeta_{8}^{2}q^{5}+(-\zeta_{8}+\cdots)q^{7}+\cdots\)
960.2.h.g \(8\) \(7.666\) 8.0.342102016.5 None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{5}q^{3}-\beta _{1}q^{5}+(\beta _{3}+\beta _{4})q^{7}+\beta _{6}q^{9}+\cdots\)
960.2.k.a \(2\) \(7.666\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(0\) \(-8\) \(q-iq^{3}-iq^{5}-4q^{7}-q^{9}-4iq^{11}+\cdots\)
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