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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
2400.1.l.a \(4\) \(1.198\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}q^{3}+(-\zeta_{8}+\zeta_{8}^{3})q^{7}+\zeta_{8}^{2}q^{9}+\cdots\)
2400.1.n.a \(1\) \(1.198\) \(\Q\) \(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-6}) \) \(\Q(\sqrt{10}) \) \(0\) \(-1\) \(0\) \(0\) \(q-q^{3}+q^{9}-q^{27}+2q^{31}-q^{49}+\cdots\)
2400.1.n.b \(1\) \(1.198\) \(\Q\) \(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-6}) \) \(\Q(\sqrt{10}) \) \(0\) \(1\) \(0\) \(0\) \(q+q^{3}+q^{9}+q^{27}+2q^{31}-q^{49}+\cdots\)
2400.1.u.a \(4\) \(1.198\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-15}) \) \(\Q(\sqrt{30}) \) \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}q^{3}+\zeta_{8}^{2}q^{9}+\zeta_{8}^{3}q^{17}+\zeta_{8}^{2}q^{19}+\cdots\)
2400.1.u.b \(8\) \(1.198\) \(\Q(\zeta_{24})\) \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{24}^{11}q^{3}-\zeta_{24}^{10}q^{9}+(\zeta_{24}^{4}+\zeta_{24}^{8}+\cdots)q^{11}+\cdots\)
2400.1.br.a \(8\) \(1.198\) \(\Q(\zeta_{16})\) \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{16}^{3}q^{2}-\zeta_{16}^{3}q^{3}+\zeta_{16}^{6}q^{4}+\cdots\)
2400.1.ca.a \(8\) \(1.198\) \(\Q(\zeta_{16})\) \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{16}^{5}q^{2}+\zeta_{16}q^{3}-\zeta_{16}^{2}q^{4}+\zeta_{16}^{6}q^{6}+\cdots\)
2400.1.cb.a \(8\) \(1.198\) \(\Q(\zeta_{16})\) \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{16}^{7}q^{2}-\zeta_{16}^{7}q^{3}-\zeta_{16}^{6}q^{4}+\cdots\)
2400.1.cf.a \(8\) \(1.198\) \(\Q(\zeta_{20})\) \(\Q(\sqrt{-6}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{20}^{9}q^{3}+\zeta_{20}^{7}q^{5}+(-\zeta_{20}^{4}-\zeta_{20}^{6}+\cdots)q^{7}+\cdots\)
2400.1.cp.a \(4\) \(1.198\) \(\Q(\zeta_{10})\) \(\Q(\sqrt{-6}) \) None \(0\) \(-1\) \(1\) \(2\) \(q+\zeta_{10}^{2}q^{3}+\zeta_{10}q^{5}+(-\zeta_{10}^{2}+\zeta_{10}^{3}+\cdots)q^{7}+\cdots\)
2400.1.cp.b \(4\) \(1.198\) \(\Q(\zeta_{10})\) \(\Q(\sqrt{-6}) \) None \(0\) \(1\) \(-1\) \(2\) \(q-\zeta_{10}^{2}q^{3}-\zeta_{10}q^{5}+(-\zeta_{10}^{2}+\zeta_{10}^{3}+\cdots)q^{7}+\cdots\)
2400.2.a.a \(1\) \(19.164\) \(\Q\) None None \(0\) \(-1\) \(0\) \(-4\) \(-\) \(q-q^{3}-4q^{7}+q^{9}-4q^{11}-6q^{13}+\cdots\)
2400.2.a.b \(1\) \(19.164\) \(\Q\) None None \(0\) \(-1\) \(0\) \(-4\) \(+\) \(q-q^{3}-4q^{7}+q^{9}+2q^{13}+6q^{17}+\cdots\)
2400.2.a.c \(1\) \(19.164\) \(\Q\) None None \(0\) \(-1\) \(0\) \(-2\) \(+\) \(q-q^{3}-2q^{7}+q^{9}-6q^{11}+2q^{13}+\cdots\)
2400.2.a.d \(1\) \(19.164\) \(\Q\) None None \(0\) \(-1\) \(0\) \(-2\) \(-\) \(q-q^{3}-2q^{7}+q^{9}+6q^{11}-2q^{13}+\cdots\)
2400.2.a.e \(1\) \(19.164\) \(\Q\) None None \(0\) \(-1\) \(0\) \(-1\) \(-\) \(q-q^{3}-q^{7}+q^{9}-4q^{11}+3q^{13}+\cdots\)
2400.2.a.f \(1\) \(19.164\) \(\Q\) None None \(0\) \(-1\) \(0\) \(-1\) \(+\) \(q-q^{3}-q^{7}+q^{9}-q^{13}+3q^{19}+q^{21}+\cdots\)
2400.2.a.g \(1\) \(19.164\) \(\Q\) None None \(0\) \(-1\) \(0\) \(-1\) \(+\) \(q-q^{3}-q^{7}+q^{9}+q^{13}-3q^{19}+q^{21}+\cdots\)
2400.2.a.h \(1\) \(19.164\) \(\Q\) None None \(0\) \(-1\) \(0\) \(-1\) \(+\) \(q-q^{3}-q^{7}+q^{9}+4q^{11}-3q^{13}+\cdots\)
2400.2.a.i \(1\) \(19.164\) \(\Q\) None None \(0\) \(-1\) \(0\) \(0\) \(+\) \(q-q^{3}+q^{9}-2q^{13}-6q^{17}+4q^{19}+\cdots\)
2400.2.a.j \(1\) \(19.164\) \(\Q\) None None \(0\) \(-1\) \(0\) \(0\) \(-\) \(q-q^{3}+q^{9}+4q^{11}-2q^{13}+2q^{17}+\cdots\)
2400.2.a.k \(1\) \(19.164\) \(\Q\) None None \(0\) \(-1\) \(0\) \(3\) \(-\) \(q-q^{3}+3q^{7}+q^{9}-4q^{11}-7q^{13}+\cdots\)
2400.2.a.l \(1\) \(19.164\) \(\Q\) None None \(0\) \(-1\) \(0\) \(3\) \(+\) \(q-q^{3}+3q^{7}+q^{9}-5q^{13}-5q^{19}+\cdots\)
2400.2.a.m \(1\) \(19.164\) \(\Q\) None None \(0\) \(-1\) \(0\) \(3\) \(-\) \(q-q^{3}+3q^{7}+q^{9}+5q^{13}+5q^{19}+\cdots\)
2400.2.a.n \(1\) \(19.164\) \(\Q\) None None \(0\) \(-1\) \(0\) \(3\) \(-\) \(q-q^{3}+3q^{7}+q^{9}+4q^{11}+7q^{13}+\cdots\)
2400.2.a.o \(1\) \(19.164\) \(\Q\) None None \(0\) \(-1\) \(0\) \(4\) \(+\) \(q-q^{3}+4q^{7}+q^{9}-4q^{13}-8q^{19}+\cdots\)
2400.2.a.p \(1\) \(19.164\) \(\Q\) None None \(0\) \(-1\) \(0\) \(4\) \(-\) \(q-q^{3}+4q^{7}+q^{9}+4q^{13}+8q^{19}+\cdots\)
2400.2.a.q \(1\) \(19.164\) \(\Q\) None None \(0\) \(-1\) \(0\) \(4\) \(-\) \(q-q^{3}+4q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots\)
2400.2.a.r \(1\) \(19.164\) \(\Q\) None None \(0\) \(1\) \(0\) \(-4\) \(-\) \(q+q^{3}-4q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots\)
2400.2.a.s \(1\) \(19.164\) \(\Q\) None None \(0\) \(1\) \(0\) \(-4\) \(-\) \(q+q^{3}-4q^{7}+q^{9}-4q^{13}+8q^{19}+\cdots\)
2400.2.a.t \(1\) \(19.164\) \(\Q\) None None \(0\) \(1\) \(0\) \(-4\) \(+\) \(q+q^{3}-4q^{7}+q^{9}+4q^{13}-8q^{19}+\cdots\)
2400.2.a.u \(1\) \(19.164\) \(\Q\) None None \(0\) \(1\) \(0\) \(-3\) \(+\) \(q+q^{3}-3q^{7}+q^{9}-4q^{11}+7q^{13}+\cdots\)
2400.2.a.v \(1\) \(19.164\) \(\Q\) None None \(0\) \(1\) \(0\) \(-3\) \(+\) \(q+q^{3}-3q^{7}+q^{9}-5q^{13}+5q^{19}+\cdots\)
2400.2.a.w \(1\) \(19.164\) \(\Q\) None None \(0\) \(1\) \(0\) \(-3\) \(-\) \(q+q^{3}-3q^{7}+q^{9}+5q^{13}-5q^{19}+\cdots\)
2400.2.a.x \(1\) \(19.164\) \(\Q\) None None \(0\) \(1\) \(0\) \(-3\) \(+\) \(q+q^{3}-3q^{7}+q^{9}+4q^{11}-7q^{13}+\cdots\)
2400.2.a.y \(1\) \(19.164\) \(\Q\) None None \(0\) \(1\) \(0\) \(0\) \(+\) \(q+q^{3}+q^{9}-4q^{11}-2q^{13}+2q^{17}+\cdots\)
2400.2.a.z \(1\) \(19.164\) \(\Q\) None None \(0\) \(1\) \(0\) \(0\) \(+\) \(q+q^{3}+q^{9}-2q^{13}-6q^{17}-4q^{19}+\cdots\)
2400.2.a.ba \(1\) \(19.164\) \(\Q\) None None \(0\) \(1\) \(0\) \(1\) \(+\) \(q+q^{3}+q^{7}+q^{9}-4q^{11}-3q^{13}+\cdots\)
2400.2.a.bb \(1\) \(19.164\) \(\Q\) None None \(0\) \(1\) \(0\) \(1\) \(-\) \(q+q^{3}+q^{7}+q^{9}-q^{13}-3q^{19}+q^{21}+\cdots\)
2400.2.a.bc \(1\) \(19.164\) \(\Q\) None None \(0\) \(1\) \(0\) \(1\) \(-\) \(q+q^{3}+q^{7}+q^{9}+q^{13}+3q^{19}+q^{21}+\cdots\)
2400.2.a.bd \(1\) \(19.164\) \(\Q\) None None \(0\) \(1\) \(0\) \(1\) \(-\) \(q+q^{3}+q^{7}+q^{9}+4q^{11}+3q^{13}+\cdots\)
2400.2.a.be \(1\) \(19.164\) \(\Q\) None None \(0\) \(1\) \(0\) \(2\) \(+\) \(q+q^{3}+2q^{7}+q^{9}-6q^{11}-2q^{13}+\cdots\)
2400.2.a.bf \(1\) \(19.164\) \(\Q\) None None \(0\) \(1\) \(0\) \(2\) \(-\) \(q+q^{3}+2q^{7}+q^{9}+6q^{11}+2q^{13}+\cdots\)
2400.2.a.bg \(1\) \(19.164\) \(\Q\) None None \(0\) \(1\) \(0\) \(4\) \(-\) \(q+q^{3}+4q^{7}+q^{9}+2q^{13}+6q^{17}+\cdots\)
2400.2.a.bh \(1\) \(19.164\) \(\Q\) None None \(0\) \(1\) \(0\) \(4\) \(-\) \(q+q^{3}+4q^{7}+q^{9}+4q^{11}-6q^{13}+\cdots\)
2400.2.a.bi \(2\) \(19.164\) \(\Q(\sqrt{5}) \) None None \(0\) \(-2\) \(0\) \(-4\) \(-\) \(q-q^{3}-2q^{7}+q^{9}-\beta q^{11}+\beta q^{13}+\cdots\)
2400.2.a.bj \(2\) \(19.164\) \(\Q(\sqrt{5}) \) None None \(0\) \(2\) \(0\) \(4\) \(-\) \(q+q^{3}+2q^{7}+q^{9}-\beta q^{11}-\beta q^{13}+\cdots\)
2400.2.b.a \(2\) \(19.164\) \(\Q(\sqrt{-2}) \) \(\Q(\sqrt{-2}) \) None \(0\) \(-2\) \(0\) \(0\) \(q+(-1+\beta )q^{3}+(-1-2\beta )q^{9}+2\beta q^{11}+\cdots\)
2400.2.b.b \(4\) \(19.164\) \(\Q(\sqrt{-2}, \sqrt{-3})\) \(\Q(\sqrt{-2}) \) None \(0\) \(-2\) \(0\) \(0\) \(q+(-\beta _{1}+\beta _{2})q^{3}+(\beta _{1}+\beta _{3})q^{9}+(-1+\cdots)q^{11}+\cdots\)
2400.2.b.c \(4\) \(19.164\) \(\Q(\sqrt{-3}, \sqrt{5})\) \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{1}q^{3}-3q^{9}+4\beta _{1}q^{17}+4q^{19}+\cdots\)
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