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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
1200.1.c.a \(2\) \(0.599\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-iq^{3}-iq^{7}-q^{9}-iq^{13}-q^{19}+\cdots\)
1200.1.l.a \(1\) \(0.599\) \(\Q\) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(1\) \(q-q^{3}+q^{7}+q^{9}-q^{13}+q^{19}-q^{21}+\cdots\)
1200.1.l.b \(1\) \(0.599\) \(\Q\) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(-1\) \(q+q^{3}-q^{7}+q^{9}+q^{13}+q^{19}-q^{21}+\cdots\)
1200.1.r.a \(4\) \(0.599\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}q^{2}-\zeta_{8}q^{3}+\zeta_{8}^{2}q^{4}+\zeta_{8}^{2}q^{6}+\cdots\)
1200.1.z.a \(2\) \(0.599\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-15}) \) None \(-2\) \(0\) \(0\) \(0\) \(q-q^{2}+iq^{3}+q^{4}-iq^{6}-q^{8}-q^{9}+\cdots\)
1200.1.z.b \(2\) \(0.599\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-15}) \) None \(2\) \(0\) \(0\) \(0\) \(q+q^{2}-iq^{3}+q^{4}-iq^{6}+q^{8}-q^{9}+\cdots\)
1200.1.bd.a \(2\) \(0.599\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-15}) \) None \(0\) \(-2\) \(0\) \(0\) \(q-iq^{2}-q^{3}-q^{4}+iq^{6}+iq^{8}+q^{9}+\cdots\)
1200.1.bd.b \(2\) \(0.599\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-15}) \) None \(0\) \(2\) \(0\) \(0\) \(q+iq^{2}+q^{3}-q^{4}+iq^{6}-iq^{8}+q^{9}+\cdots\)
1200.1.bj.a \(4\) \(0.599\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-5}) \) \(\Q(\sqrt{15}) \) \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}q^{3}-\zeta_{8}^{3}q^{7}+\zeta_{8}^{2}q^{9}-2q^{21}+\cdots\)
1200.1.bj.b \(8\) \(0.599\) \(\Q(\zeta_{24})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{3}q^{3}+\zeta_{24}^{9}q^{7}+\zeta_{24}^{6}q^{9}+\cdots\)
1200.2.a.a \(1\) \(9.582\) \(\Q\) None None \(0\) \(-1\) \(0\) \(-4\) \(+\) \(q-q^{3}-4q^{7}+q^{9}+4q^{11}+4q^{17}+\cdots\)
1200.2.a.b \(1\) \(9.582\) \(\Q\) None None \(0\) \(-1\) \(0\) \(-3\) \(-\) \(q-q^{3}-3q^{7}+q^{9}-2q^{11}-3q^{13}+\cdots\)
1200.2.a.c \(1\) \(9.582\) \(\Q\) None None \(0\) \(-1\) \(0\) \(-3\) \(-\) \(q-q^{3}-3q^{7}+q^{9}-2q^{11}-q^{13}+\cdots\)
1200.2.a.d \(1\) \(9.582\) \(\Q\) None None \(0\) \(-1\) \(0\) \(0\) \(+\) \(q-q^{3}+q^{9}-4q^{11}+2q^{13}-2q^{17}+\cdots\)
1200.2.a.e \(1\) \(9.582\) \(\Q\) None None \(0\) \(-1\) \(0\) \(0\) \(-\) \(q-q^{3}+q^{9}+4q^{11}+2q^{13}-2q^{17}+\cdots\)
1200.2.a.f \(1\) \(9.582\) \(\Q\) None None \(0\) \(-1\) \(0\) \(1\) \(+\) \(q-q^{3}+q^{7}+q^{9}-6q^{11}+5q^{13}+\cdots\)
1200.2.a.g \(1\) \(9.582\) \(\Q\) None None \(0\) \(-1\) \(0\) \(2\) \(+\) \(q-q^{3}+2q^{7}+q^{9}-2q^{11}-6q^{13}+\cdots\)
1200.2.a.h \(1\) \(9.582\) \(\Q\) None None \(0\) \(-1\) \(0\) \(2\) \(-\) \(q-q^{3}+2q^{7}+q^{9}-2q^{11}+2q^{13}+\cdots\)
1200.2.a.i \(1\) \(9.582\) \(\Q\) None None \(0\) \(-1\) \(0\) \(5\) \(-\) \(q-q^{3}+5q^{7}+q^{9}+6q^{11}-3q^{13}+\cdots\)
1200.2.a.j \(1\) \(9.582\) \(\Q\) None None \(0\) \(1\) \(0\) \(-5\) \(-\) \(q+q^{3}-5q^{7}+q^{9}+6q^{11}+3q^{13}+\cdots\)
1200.2.a.k \(1\) \(9.582\) \(\Q\) None None \(0\) \(1\) \(0\) \(-4\) \(+\) \(q+q^{3}-4q^{7}+q^{9}-2q^{13}-6q^{17}+\cdots\)
1200.2.a.l \(1\) \(9.582\) \(\Q\) None None \(0\) \(1\) \(0\) \(-2\) \(+\) \(q+q^{3}-2q^{7}+q^{9}-2q^{11}-2q^{13}+\cdots\)
1200.2.a.m \(1\) \(9.582\) \(\Q\) None None \(0\) \(1\) \(0\) \(-2\) \(-\) \(q+q^{3}-2q^{7}+q^{9}-2q^{11}+6q^{13}+\cdots\)
1200.2.a.n \(1\) \(9.582\) \(\Q\) None None \(0\) \(1\) \(0\) \(-1\) \(+\) \(q+q^{3}-q^{7}+q^{9}-6q^{11}-5q^{13}+\cdots\)
1200.2.a.o \(1\) \(9.582\) \(\Q\) None None \(0\) \(1\) \(0\) \(0\) \(-\) \(q+q^{3}+q^{9}+4q^{11}-6q^{13}+6q^{17}+\cdots\)
1200.2.a.p \(1\) \(9.582\) \(\Q\) None None \(0\) \(1\) \(0\) \(3\) \(-\) \(q+q^{3}+3q^{7}+q^{9}-2q^{11}+q^{13}+\cdots\)
1200.2.a.q \(1\) \(9.582\) \(\Q\) None None \(0\) \(1\) \(0\) \(3\) \(-\) \(q+q^{3}+3q^{7}+q^{9}-2q^{11}+3q^{13}+\cdots\)
1200.2.a.r \(1\) \(9.582\) \(\Q\) None None \(0\) \(1\) \(0\) \(4\) \(-\) \(q+q^{3}+4q^{7}+q^{9}+6q^{13}+2q^{17}+\cdots\)
1200.2.a.s \(1\) \(9.582\) \(\Q\) None None \(0\) \(1\) \(0\) \(4\) \(-\) \(q+q^{3}+4q^{7}+q^{9}+4q^{11}-4q^{17}+\cdots\)
1200.2.f.a \(2\) \(9.582\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(0\) \(0\) \(q+iq^{3}+iq^{7}-q^{9}-6q^{11}-5iq^{13}+\cdots\)
1200.2.f.b \(2\) \(9.582\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(0\) \(0\) \(q-iq^{3}-q^{9}-4q^{11}+2iq^{13}+2iq^{17}+\cdots\)
1200.2.f.c \(2\) \(9.582\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(0\) \(0\) \(q-iq^{3}+3iq^{7}-q^{9}-2q^{11}-3iq^{13}+\cdots\)
1200.2.f.d \(2\) \(9.582\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(0\) \(0\) \(q-iq^{3}+3iq^{7}-q^{9}-2q^{11}-iq^{13}+\cdots\)
1200.2.f.e \(2\) \(9.582\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(0\) \(0\) \(q+iq^{3}+4iq^{7}-q^{9}-2iq^{13}+6iq^{17}+\cdots\)
1200.2.f.f \(2\) \(9.582\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(0\) \(0\) \(q-iq^{3}+4iq^{7}-q^{9}-6iq^{13}+2iq^{17}+\cdots\)
1200.2.f.g \(2\) \(9.582\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(0\) \(0\) \(q+iq^{3}-q^{9}+4q^{11}-6iq^{13}-6iq^{17}+\cdots\)
1200.2.f.h \(2\) \(9.582\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(0\) \(0\) \(q+iq^{3}-q^{9}+4q^{11}-2iq^{13}-2iq^{17}+\cdots\)
1200.2.f.i \(2\) \(9.582\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(0\) \(0\) \(q+iq^{3}+5iq^{7}-q^{9}+6q^{11}+3iq^{13}+\cdots\)
1200.2.h.a \(2\) \(9.582\) \(\Q(\sqrt{-3}) \) None None \(0\) \(-3\) \(0\) \(0\) \(q+(-1-\zeta_{6})q^{3}+3\zeta_{6}q^{9}-3q^{11}+\cdots\)
1200.2.h.b \(2\) \(9.582\) \(\Q(\sqrt{-3}) \) None None \(0\) \(-3\) \(0\) \(0\) \(q+(-1-\zeta_{6})q^{3}+3\zeta_{6}q^{9}+3q^{11}+\cdots\)
1200.2.h.c \(2\) \(9.582\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{6}q^{3}-3\zeta_{6}q^{7}-3q^{9}-7q^{13}+\cdots\)
1200.2.h.d \(2\) \(9.582\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{6}q^{3}-\zeta_{6}q^{7}-3q^{9}-5q^{13}-5\zeta_{6}q^{19}+\cdots\)
1200.2.h.e \(2\) \(9.582\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{6}q^{3}-2\zeta_{6}q^{7}-3q^{9}+2q^{13}+\cdots\)
1200.2.h.f \(2\) \(9.582\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{6}q^{3}-\zeta_{6}q^{7}-3q^{9}+5q^{13}+5\zeta_{6}q^{19}+\cdots\)
1200.2.h.g \(2\) \(9.582\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{6}q^{3}-3\zeta_{6}q^{7}-3q^{9}+7q^{13}+\cdots\)
1200.2.h.h \(2\) \(9.582\) \(\Q(\sqrt{-3}) \) None None \(0\) \(3\) \(0\) \(0\) \(q+(1+\zeta_{6})q^{3}+3\zeta_{6}q^{9}-3q^{11}-2q^{13}+\cdots\)
1200.2.h.i \(2\) \(9.582\) \(\Q(\sqrt{-3}) \) None None \(0\) \(3\) \(0\) \(0\) \(q+(2-\zeta_{6})q^{3}+(3-3\zeta_{6})q^{9}+3q^{11}+\cdots\)
1200.2.h.j \(4\) \(9.582\) \(\Q(\sqrt{-2}, \sqrt{-3})\) None None \(0\) \(-4\) \(0\) \(0\) \(q+(-1+\beta _{1})q^{3}+(-1-2\beta _{1})q^{9}+\beta _{3}q^{11}+\cdots\)
1200.2.h.k \(4\) \(9.582\) \(\Q(i, \sqrt{6})\) None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{3}+(\beta _{1}+\beta _{3})q^{7}+\beta _{2}q^{9}+(-2\beta _{1}+\cdots)q^{11}+\cdots\)
1200.2.h.l \(4\) \(9.582\) \(\Q(\sqrt{-2}, \sqrt{-5})\) \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{1}q^{3}+(\beta _{1}+\beta _{3})q^{7}+(2+\beta _{2})q^{9}+\cdots\)
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