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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
1152.1.b.a \(1\) \(0.575\) \(\Q\) \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-2}) \) \(\Q(\sqrt{2}) \) \(0\) \(0\) \(0\) \(0\) \(q+2q^{17}+q^{25}-2q^{41}+q^{49}-2q^{73}+\cdots\)
1152.1.b.b \(2\) \(0.575\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-6}) \) \(\Q(\sqrt{6}) \) \(0\) \(0\) \(0\) \(0\) \(q-iq^{5}-3q^{25}-iq^{29}+q^{49}+iq^{53}+\cdots\)
1152.1.h.a \(4\) \(0.575\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{8}+\zeta_{8}^{3})q^{5}+\zeta_{8}^{2}q^{13}+(\zeta_{8}+\cdots)q^{17}+\cdots\)
1152.1.n.a \(2\) \(0.575\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-2}) \) None \(0\) \(-1\) \(0\) \(0\) \(q-\zeta_{6}q^{3}+\zeta_{6}^{2}q^{9}-\zeta_{6}q^{11}+(-\zeta_{6}+\cdots)q^{17}+\cdots\)
1152.1.n.b \(2\) \(0.575\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-2}) \) None \(0\) \(1\) \(0\) \(0\) \(q+\zeta_{6}q^{3}+\zeta_{6}^{2}q^{9}+\zeta_{6}q^{11}+(-\zeta_{6}+\cdots)q^{17}+\cdots\)
1152.1.t.a \(4\) \(0.575\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}q^{3}+\zeta_{12}^{2}q^{9}+(\zeta_{12}^{3}+\zeta_{12}^{5}+\cdots)q^{11}+\cdots\)
1152.2.a.a \(1\) \(9.199\) \(\Q\) None None \(0\) \(0\) \(-4\) \(-2\) \(-\) \(q-4q^{5}-2q^{7}-4q^{11}-2q^{13}+2q^{17}+\cdots\)
1152.2.a.b \(1\) \(9.199\) \(\Q\) None None \(0\) \(0\) \(-4\) \(2\) \(+\) \(q-4q^{5}+2q^{7}+4q^{11}-2q^{13}+2q^{17}+\cdots\)
1152.2.a.c \(1\) \(9.199\) \(\Q\) None None \(0\) \(0\) \(-2\) \(-4\) \(-\) \(q-2q^{5}-4q^{7}+2q^{11}+2q^{13}+2q^{17}+\cdots\)
1152.2.a.d \(1\) \(9.199\) \(\Q\) None None \(0\) \(0\) \(-2\) \(-2\) \(-\) \(q-2q^{5}-2q^{7}+4q^{11}-2q^{13}+4q^{17}+\cdots\)
1152.2.a.e \(1\) \(9.199\) \(\Q\) None None \(0\) \(0\) \(-2\) \(-2\) \(+\) \(q-2q^{5}-2q^{7}+4q^{11}+2q^{13}-4q^{17}+\cdots\)
1152.2.a.f \(1\) \(9.199\) \(\Q\) None None \(0\) \(0\) \(-2\) \(2\) \(+\) \(q-2q^{5}+2q^{7}-4q^{11}-2q^{13}+4q^{17}+\cdots\)
1152.2.a.g \(1\) \(9.199\) \(\Q\) None None \(0\) \(0\) \(-2\) \(2\) \(+\) \(q-2q^{5}+2q^{7}-4q^{11}+2q^{13}-4q^{17}+\cdots\)
1152.2.a.h \(1\) \(9.199\) \(\Q\) None None \(0\) \(0\) \(-2\) \(4\) \(-\) \(q-2q^{5}+4q^{7}-2q^{11}+2q^{13}+2q^{17}+\cdots\)
1152.2.a.i \(1\) \(9.199\) \(\Q\) None None \(0\) \(0\) \(0\) \(-2\) \(+\) \(q-2q^{7}-4q^{11}+6q^{13}-6q^{17}+4q^{23}+\cdots\)
1152.2.a.j \(1\) \(9.199\) \(\Q\) None None \(0\) \(0\) \(0\) \(-2\) \(+\) \(q-2q^{7}+4q^{11}-6q^{13}-6q^{17}+4q^{23}+\cdots\)
1152.2.a.k \(1\) \(9.199\) \(\Q\) None None \(0\) \(0\) \(0\) \(2\) \(+\) \(q+2q^{7}-4q^{11}-6q^{13}-6q^{17}-4q^{23}+\cdots\)
1152.2.a.l \(1\) \(9.199\) \(\Q\) None None \(0\) \(0\) \(0\) \(2\) \(-\) \(q+2q^{7}+4q^{11}+6q^{13}-6q^{17}-4q^{23}+\cdots\)
1152.2.a.m \(1\) \(9.199\) \(\Q\) None None \(0\) \(0\) \(2\) \(-4\) \(+\) \(q+2q^{5}-4q^{7}-2q^{11}-2q^{13}+2q^{17}+\cdots\)
1152.2.a.n \(1\) \(9.199\) \(\Q\) None None \(0\) \(0\) \(2\) \(-2\) \(+\) \(q+2q^{5}-2q^{7}-4q^{11}-2q^{13}-4q^{17}+\cdots\)
1152.2.a.o \(1\) \(9.199\) \(\Q\) None None \(0\) \(0\) \(2\) \(-2\) \(-\) \(q+2q^{5}-2q^{7}-4q^{11}+2q^{13}+4q^{17}+\cdots\)
1152.2.a.p \(1\) \(9.199\) \(\Q\) None None \(0\) \(0\) \(2\) \(2\) \(-\) \(q+2q^{5}+2q^{7}+4q^{11}-2q^{13}-4q^{17}+\cdots\)
1152.2.a.q \(1\) \(9.199\) \(\Q\) None None \(0\) \(0\) \(2\) \(2\) \(-\) \(q+2q^{5}+2q^{7}+4q^{11}+2q^{13}+4q^{17}+\cdots\)
1152.2.a.r \(1\) \(9.199\) \(\Q\) None None \(0\) \(0\) \(2\) \(4\) \(-\) \(q+2q^{5}+4q^{7}+2q^{11}-2q^{13}+2q^{17}+\cdots\)
1152.2.a.s \(1\) \(9.199\) \(\Q\) None None \(0\) \(0\) \(4\) \(-2\) \(-\) \(q+4q^{5}-2q^{7}+4q^{11}+2q^{13}+2q^{17}+\cdots\)
1152.2.a.t \(1\) \(9.199\) \(\Q\) None None \(0\) \(0\) \(4\) \(2\) \(-\) \(q+4q^{5}+2q^{7}-4q^{11}+2q^{13}+2q^{17}+\cdots\)
1152.2.c.a \(4\) \(9.199\) \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{8}-\zeta_{8}^{2})q^{5}+(\zeta_{8}-2\zeta_{8}^{2})q^{7}-\zeta_{8}^{3}q^{11}+\cdots\)
1152.2.c.b \(4\) \(9.199\) \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{8}-\zeta_{8}^{2})q^{5}+(-\zeta_{8}+2\zeta_{8}^{2})q^{7}+\cdots\)
1152.2.c.c \(4\) \(9.199\) \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{8}-\zeta_{8}^{2})q^{5}+(\zeta_{8}-2\zeta_{8}^{2})q^{7}-\zeta_{8}^{3}q^{11}+\cdots\)
1152.2.c.d \(4\) \(9.199\) \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{8}-\zeta_{8}^{2})q^{5}+(-\zeta_{8}+2\zeta_{8}^{2})q^{7}+\cdots\)
1152.2.d.a \(2\) \(9.199\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(0\) \(-8\) \(q-4q^{7}+iq^{11}-iq^{13}+2q^{17}-iq^{19}+\cdots\)
1152.2.d.b \(2\) \(9.199\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+iq^{5}+2iq^{13}-8q^{17}+q^{25}+5iq^{29}+\cdots\)
1152.2.d.c \(2\) \(9.199\) \(\Q(\sqrt{-2}) \) \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\beta q^{11}-6q^{17}-3\beta q^{19}+5q^{25}+\cdots\)
1152.2.d.d \(2\) \(9.199\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+iq^{5}+iq^{13}+2q^{17}-11q^{25}+\cdots\)
1152.2.d.e \(2\) \(9.199\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+iq^{5}-2iq^{13}+8q^{17}+q^{25}+5iq^{29}+\cdots\)
1152.2.d.f \(2\) \(9.199\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(0\) \(8\) \(q+4q^{7}+iq^{11}+iq^{13}+2q^{17}-iq^{19}+\cdots\)
1152.2.d.g \(4\) \(9.199\) \(\Q(\sqrt{-2}, \sqrt{-3})\) \(\Q(\sqrt{-6}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{2}q^{5}+\beta _{1}q^{7}-\beta _{3}q^{11}-7q^{25}+\cdots\)
1152.2.d.h \(4\) \(9.199\) \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{8}^{2}q^{5}-\zeta_{8}^{3}q^{7}+\zeta_{8}q^{11}-2\zeta_{8}^{2}q^{13}+\cdots\)
1152.2.f.a \(4\) \(9.199\) \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}^{3}q^{5}-2\zeta_{8}^{2}q^{7}+2\zeta_{8}q^{11}-\zeta_{8}q^{13}+\cdots\)
1152.2.f.b \(4\) \(9.199\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{8}^{2}q^{5}+\zeta_{8}q^{13}+\zeta_{8}^{3}q^{17}-3q^{25}+\cdots\)
1152.2.f.c \(4\) \(9.199\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{8}^{3}q^{5}-\zeta_{8}q^{13}-5\zeta_{8}^{2}q^{17}+13q^{25}+\cdots\)
1152.2.f.d \(4\) \(9.199\) \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}^{3}q^{5}-2\zeta_{8}^{2}q^{7}+2\zeta_{8}q^{11}+\zeta_{8}q^{13}+\cdots\)
1152.2.i.a \(2\) \(9.199\) \(\Q(\sqrt{-3}) \) None None \(0\) \(-3\) \(-2\) \(2\) \(q+(-1-\zeta_{6})q^{3}-2\zeta_{6}q^{5}+(2-2\zeta_{6})q^{7}+\cdots\)
1152.2.i.b \(2\) \(9.199\) \(\Q(\sqrt{-3}) \) None None \(0\) \(-3\) \(2\) \(-2\) \(q+(-1-\zeta_{6})q^{3}+2\zeta_{6}q^{5}+(-2+2\zeta_{6})q^{7}+\cdots\)
1152.2.i.c \(2\) \(9.199\) \(\Q(\sqrt{-3}) \) None None \(0\) \(3\) \(-2\) \(-2\) \(q+(1+\zeta_{6})q^{3}-2\zeta_{6}q^{5}+(-2+2\zeta_{6})q^{7}+\cdots\)
1152.2.i.d \(2\) \(9.199\) \(\Q(\sqrt{-3}) \) None None \(0\) \(3\) \(2\) \(2\) \(q+(1+\zeta_{6})q^{3}+2\zeta_{6}q^{5}+(2-2\zeta_{6})q^{7}+\cdots\)
1152.2.i.e \(10\) \(9.199\) 10.0.\(\cdots\).1 None None \(0\) \(-1\) \(0\) \(-4\) \(q+(-\beta _{5}-\beta _{7})q^{3}-\beta _{8}q^{5}+(-1-\beta _{1}+\cdots)q^{7}+\cdots\)
1152.2.i.f \(10\) \(9.199\) 10.0.\(\cdots\).1 None None \(0\) \(-1\) \(0\) \(4\) \(q+(-\beta _{5}-\beta _{7})q^{3}+\beta _{8}q^{5}+(1+\beta _{1}+\cdots)q^{7}+\cdots\)
1152.2.i.g \(10\) \(9.199\) 10.0.\(\cdots\).1 None None \(0\) \(1\) \(0\) \(-4\) \(q+(\beta _{5}+\beta _{7})q^{3}+\beta _{8}q^{5}+(-1-\beta _{1}+\cdots)q^{7}+\cdots\)
1152.2.i.h \(10\) \(9.199\) 10.0.\(\cdots\).1 None None \(0\) \(1\) \(0\) \(4\) \(q+(\beta _{5}+\beta _{7})q^{3}-\beta _{8}q^{5}+(1+\beta _{1}-\beta _{2}+\cdots)q^{7}+\cdots\)
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