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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
2450.2.a.a \(1\) \(19.563\) \(\Q\) None \(-1\) \(-3\) \(0\) \(0\) \(-\) \(q-q^{2}-3q^{3}+q^{4}+3q^{6}-q^{8}+6q^{9}+\cdots\)
2450.2.a.b \(1\) \(19.563\) \(\Q\) None \(-1\) \(-3\) \(0\) \(0\) \(+\) \(q-q^{2}-3q^{3}+q^{4}+3q^{6}-q^{8}+6q^{9}+\cdots\)
2450.2.a.c \(1\) \(19.563\) \(\Q\) None \(-1\) \(-3\) \(0\) \(0\) \(+\) \(q-q^{2}-3q^{3}+q^{4}+3q^{6}-q^{8}+6q^{9}+\cdots\)
2450.2.a.d \(1\) \(19.563\) \(\Q\) None \(-1\) \(-2\) \(0\) \(0\) \(-\) \(q-q^{2}-2q^{3}+q^{4}+2q^{6}-q^{8}+q^{9}+\cdots\)
2450.2.a.e \(1\) \(19.563\) \(\Q\) None \(-1\) \(-2\) \(0\) \(0\) \(-\) \(q-q^{2}-2q^{3}+q^{4}+2q^{6}-q^{8}+q^{9}+\cdots\)
2450.2.a.f \(1\) \(19.563\) \(\Q\) None \(-1\) \(-2\) \(0\) \(0\) \(-\) \(q-q^{2}-2q^{3}+q^{4}+2q^{6}-q^{8}+q^{9}+\cdots\)
2450.2.a.g \(1\) \(19.563\) \(\Q\) None \(-1\) \(-1\) \(0\) \(0\) \(+\) \(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}-2q^{9}+\cdots\)
2450.2.a.h \(1\) \(19.563\) \(\Q\) None \(-1\) \(0\) \(0\) \(0\) \(-\) \(q-q^{2}+q^{4}-q^{8}-3q^{9}-2q^{11}+q^{16}+\cdots\)
2450.2.a.i \(1\) \(19.563\) \(\Q\) None \(-1\) \(0\) \(0\) \(0\) \(+\) \(q-q^{2}+q^{4}-q^{8}-3q^{9}-2q^{11}+q^{16}+\cdots\)
2450.2.a.j \(1\) \(19.563\) \(\Q\) None \(-1\) \(0\) \(0\) \(0\) \(+\) \(q-q^{2}+q^{4}-q^{8}-3q^{9}+3q^{11}-5q^{13}+\cdots\)
2450.2.a.k \(1\) \(19.563\) \(\Q\) None \(-1\) \(0\) \(0\) \(0\) \(-\) \(q-q^{2}+q^{4}-q^{8}-3q^{9}+3q^{11}+5q^{13}+\cdots\)
2450.2.a.l \(1\) \(19.563\) \(\Q\) None \(-1\) \(0\) \(0\) \(0\) \(-\) \(q-q^{2}+q^{4}-q^{8}-3q^{9}+4q^{11}-6q^{13}+\cdots\)
2450.2.a.m \(1\) \(19.563\) \(\Q\) None \(-1\) \(1\) \(0\) \(0\) \(-\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}-2q^{9}+\cdots\)
2450.2.a.n \(1\) \(19.563\) \(\Q\) None \(-1\) \(2\) \(0\) \(0\) \(-\) \(q-q^{2}+2q^{3}+q^{4}-2q^{6}-q^{8}+q^{9}+\cdots\)
2450.2.a.o \(1\) \(19.563\) \(\Q\) None \(-1\) \(2\) \(0\) \(0\) \(+\) \(q-q^{2}+2q^{3}+q^{4}-2q^{6}-q^{8}+q^{9}+\cdots\)
2450.2.a.p \(1\) \(19.563\) \(\Q\) None \(-1\) \(2\) \(0\) \(0\) \(+\) \(q-q^{2}+2q^{3}+q^{4}-2q^{6}-q^{8}+q^{9}+\cdots\)
2450.2.a.q \(1\) \(19.563\) \(\Q\) None \(-1\) \(3\) \(0\) \(0\) \(-\) \(q-q^{2}+3q^{3}+q^{4}-3q^{6}-q^{8}+6q^{9}+\cdots\)
2450.2.a.r \(1\) \(19.563\) \(\Q\) None \(-1\) \(3\) \(0\) \(0\) \(-\) \(q-q^{2}+3q^{3}+q^{4}-3q^{6}-q^{8}+6q^{9}+\cdots\)
2450.2.a.s \(1\) \(19.563\) \(\Q\) None \(1\) \(-3\) \(0\) \(0\) \(+\) \(q+q^{2}-3q^{3}+q^{4}-3q^{6}+q^{8}+6q^{9}+\cdots\)
2450.2.a.t \(1\) \(19.563\) \(\Q\) None \(1\) \(-2\) \(0\) \(0\) \(+\) \(q+q^{2}-2q^{3}+q^{4}-2q^{6}+q^{8}+q^{9}+\cdots\)
2450.2.a.u \(1\) \(19.563\) \(\Q\) None \(1\) \(-2\) \(0\) \(0\) \(+\) \(q+q^{2}-2q^{3}+q^{4}-2q^{6}+q^{8}+q^{9}+\cdots\)
2450.2.a.v \(1\) \(19.563\) \(\Q\) None \(1\) \(-2\) \(0\) \(0\) \(+\) \(q+q^{2}-2q^{3}+q^{4}-2q^{6}+q^{8}+q^{9}+\cdots\)
2450.2.a.w \(1\) \(19.563\) \(\Q\) None \(1\) \(-1\) \(0\) \(0\) \(-\) \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}-2q^{9}+\cdots\)
2450.2.a.x \(1\) \(19.563\) \(\Q\) None \(1\) \(-1\) \(0\) \(0\) \(-\) \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}-2q^{9}+\cdots\)
2450.2.a.y \(1\) \(19.563\) \(\Q\) None \(1\) \(0\) \(0\) \(0\) \(+\) \(q+q^{2}+q^{4}+q^{8}-3q^{9}-2q^{11}+q^{16}+\cdots\)
2450.2.a.z \(1\) \(19.563\) \(\Q\) None \(1\) \(0\) \(0\) \(0\) \(-\) \(q+q^{2}+q^{4}+q^{8}-3q^{9}-2q^{11}+q^{16}+\cdots\)
2450.2.a.ba \(1\) \(19.563\) \(\Q\) None \(1\) \(0\) \(0\) \(0\) \(+\) \(q+q^{2}+q^{4}+q^{8}-3q^{9}+3q^{11}-5q^{13}+\cdots\)
2450.2.a.bb \(1\) \(19.563\) \(\Q\) None \(1\) \(0\) \(0\) \(0\) \(-\) \(q+q^{2}+q^{4}+q^{8}-3q^{9}+3q^{11}+5q^{13}+\cdots\)
2450.2.a.bc \(1\) \(19.563\) \(\Q\) None \(1\) \(1\) \(0\) \(0\) \(+\) \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}-2q^{9}+\cdots\)
2450.2.a.bd \(1\) \(19.563\) \(\Q\) None \(1\) \(1\) \(0\) \(0\) \(+\) \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}-2q^{9}+\cdots\)
2450.2.a.be \(1\) \(19.563\) \(\Q\) None \(1\) \(2\) \(0\) \(0\) \(-\) \(q+q^{2}+2q^{3}+q^{4}+2q^{6}+q^{8}+q^{9}+\cdots\)
2450.2.a.bf \(1\) \(19.563\) \(\Q\) None \(1\) \(2\) \(0\) \(0\) \(-\) \(q+q^{2}+2q^{3}+q^{4}+2q^{6}+q^{8}+q^{9}+\cdots\)
2450.2.a.bg \(1\) \(19.563\) \(\Q\) None \(1\) \(3\) \(0\) \(0\) \(-\) \(q+q^{2}+3q^{3}+q^{4}+3q^{6}+q^{8}+6q^{9}+\cdots\)
2450.2.a.bh \(1\) \(19.563\) \(\Q\) None \(1\) \(3\) \(0\) \(0\) \(-\) \(q+q^{2}+3q^{3}+q^{4}+3q^{6}+q^{8}+6q^{9}+\cdots\)
2450.2.a.bi \(2\) \(19.563\) \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(0\) \(0\) \(-\) \(q-q^{2}+q^{4}-q^{8}-3q^{9}-4q^{11}+3\beta q^{13}+\cdots\)
2450.2.a.bj \(2\) \(19.563\) \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(0\) \(0\) \(+\) \(q-q^{2}+\beta q^{3}+q^{4}-\beta q^{6}-q^{8}-q^{9}+\cdots\)
2450.2.a.bk \(2\) \(19.563\) \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(0\) \(0\) \(+\) \(q-q^{2}+\beta q^{3}+q^{4}-\beta q^{6}-q^{8}-q^{9}+\cdots\)
2450.2.a.bl \(2\) \(19.563\) \(\Q(\sqrt{6}) \) None \(-2\) \(0\) \(0\) \(0\) \(+\) \(q-q^{2}+\beta q^{3}+q^{4}-\beta q^{6}-q^{8}+3q^{9}+\cdots\)
2450.2.a.bm \(2\) \(19.563\) \(\Q(\sqrt{7}) \) None \(-2\) \(0\) \(0\) \(0\) \(-\) \(q-q^{2}+\beta q^{3}+q^{4}-\beta q^{6}-q^{8}+4q^{9}+\cdots\)
2450.2.a.bn \(2\) \(19.563\) \(\Q(\sqrt{2}) \) None \(2\) \(-4\) \(0\) \(0\) \(-\) \(q+q^{2}+(-2+\beta )q^{3}+q^{4}+(-2+\beta )q^{6}+\cdots\)
2450.2.a.bo \(2\) \(19.563\) \(\Q(\sqrt{2}) \) None \(2\) \(0\) \(0\) \(0\) \(+\) \(q+q^{2}+q^{4}+q^{8}-3q^{9}-4q^{11}+3\beta q^{13}+\cdots\)
2450.2.a.bp \(2\) \(19.563\) \(\Q(\sqrt{2}) \) None \(2\) \(0\) \(0\) \(0\) \(-\) \(q+q^{2}+\beta q^{3}+q^{4}+\beta q^{6}+q^{8}-q^{9}+\cdots\)
2450.2.a.bq \(2\) \(19.563\) \(\Q(\sqrt{6}) \) None \(2\) \(0\) \(0\) \(0\) \(-\) \(q+q^{2}+\beta q^{3}+q^{4}+\beta q^{6}+q^{8}+3q^{9}+\cdots\)
2450.2.a.br \(2\) \(19.563\) \(\Q(\sqrt{7}) \) None \(2\) \(0\) \(0\) \(0\) \(-\) \(q+q^{2}+\beta q^{3}+q^{4}+\beta q^{6}+q^{8}+4q^{9}+\cdots\)
2450.2.a.bs \(2\) \(19.563\) \(\Q(\sqrt{2}) \) None \(2\) \(4\) \(0\) \(0\) \(-\) \(q+q^{2}+(2+\beta )q^{3}+q^{4}+(2+\beta )q^{6}+\cdots\)
2450.2.a.bt \(4\) \(19.563\) \(\Q(\sqrt{2}, \sqrt{11})\) None \(-4\) \(0\) \(0\) \(0\) \(-\) \(q-q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{1}q^{6}-q^{8}+\cdots\)
2450.2.a.bu \(4\) \(19.563\) \(\Q(\sqrt{2}, \sqrt{11})\) None \(4\) \(0\) \(0\) \(0\) \(-\) \(q+q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{1}q^{6}+q^{8}+\cdots\)
2450.2.c.a \(2\) \(19.563\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+iq^{2}+3iq^{3}-q^{4}-3q^{6}-iq^{8}+\cdots\)
2450.2.c.b \(2\) \(19.563\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+iq^{2}+2iq^{3}-q^{4}-2q^{6}-iq^{8}+\cdots\)
2450.2.c.c \(2\) \(19.563\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+iq^{2}+2iq^{3}-q^{4}-2q^{6}-iq^{8}+\cdots\)
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