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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
1925.1.l.a \(4\) \(0.961\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-35}) \), \(\Q(\sqrt{-55}) \) \(\Q(\sqrt{77}) \) \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{8}^{2}q^{4}-\zeta_{8}q^{7}-\zeta_{8}^{2}q^{9}-q^{11}+\cdots\)
1925.1.l.b \(4\) \(0.961\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-55}) \) \(\Q(\sqrt{385}) \) \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}^{3}q^{2}-3\zeta_{8}^{2}q^{4}+\zeta_{8}^{3}q^{7}+2\zeta_{8}q^{8}+\cdots\)
1925.1.l.c \(8\) \(0.961\) \(\Q(\zeta_{24})\) \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{3}q^{2}-\zeta_{24}^{3}q^{7}+\zeta_{24}^{9}q^{8}+\cdots\)
1925.1.w.a \(2\) \(0.961\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-55}) \) None \(-3\) \(0\) \(0\) \(2\) \(q+(-1+\zeta_{6}^{2})q^{2}+(1-\zeta_{6}-\zeta_{6}^{2})q^{4}+\cdots\)
1925.1.w.b \(2\) \(0.961\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-55}) \) None \(3\) \(0\) \(0\) \(-2\) \(q+(1-\zeta_{6}^{2})q^{2}+(1-\zeta_{6}-\zeta_{6}^{2})q^{4}+\cdots\)
1925.1.w.c \(4\) \(0.961\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-55}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}q^{2}-\zeta_{12}^{3}q^{7}+\zeta_{12}^{3}q^{8}-\zeta_{12}^{4}q^{9}+\cdots\)
1925.1.bn.a \(4\) \(0.961\) \(\Q(\zeta_{10})\) \(\Q(\sqrt{-7}) \) None \(2\) \(0\) \(0\) \(1\) \(q+(\zeta_{10}-\zeta_{10}^{2})q^{2}+(\zeta_{10}^{2}-\zeta_{10}^{3}+\cdots)q^{4}+\cdots\)
1925.1.bn.b \(8\) \(0.961\) \(\Q(\zeta_{15})\) \(\Q(\sqrt{-7}) \) None \(-2\) \(0\) \(0\) \(2\) \(q+(\zeta_{30}-\zeta_{30}^{8})q^{2}+(-\zeta_{30}+\zeta_{30}^{2}+\cdots)q^{4}+\cdots\)
1925.1.bn.c \(8\) \(0.961\) \(\Q(\zeta_{20})\) \(\Q(\sqrt{-35}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{20}^{3}+\zeta_{20}^{5})q^{3}+\zeta_{20}^{6}q^{4}+\cdots\)
1925.1.bn.d \(8\) \(0.961\) \(\Q(\zeta_{15})\) \(\Q(\sqrt{-7}) \) None \(2\) \(0\) \(0\) \(-2\) \(q+(-\zeta_{30}+\zeta_{30}^{8})q^{2}+(-\zeta_{30}+\zeta_{30}^{2}+\cdots)q^{4}+\cdots\)
1925.1.cb.a \(8\) \(0.961\) \(\Q(\zeta_{20})\) \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{20}-\zeta_{20}^{7})q^{2}+(\zeta_{20}^{2}-\zeta_{20}^{4}+\cdots)q^{4}+\cdots\)
1925.1.cb.b \(16\) \(0.961\) \(\Q(\zeta_{60})\) \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{60}+\zeta_{60}^{23})q^{2}+(\zeta_{60}^{2}-\zeta_{60}^{16}+\cdots)q^{4}+\cdots\)
1925.1.ct.a \(8\) \(0.961\) \(\Q(\zeta_{24})\) \(\Q(\sqrt{-55}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{7}q^{2}+\zeta_{24}^{3}q^{7}-\zeta_{24}^{9}q^{8}+\cdots\)
1925.1.ct.b \(8\) \(0.961\) \(\Q(\zeta_{24})\) \(\Q(\sqrt{-55}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{24}^{5}+\zeta_{24}^{9})q^{2}+(-\zeta_{24}^{2}-\zeta_{24}^{6}+\cdots)q^{4}+\cdots\)
1925.1.dn.a \(16\) \(0.961\) \(\Q(\zeta_{40})\) \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{40}+\zeta_{40}^{17})q^{2}+(\zeta_{40}^{2}-\zeta_{40}^{14}+\cdots)q^{4}+\cdots\)
1925.1.dn.b \(16\) \(0.961\) \(\Q(\zeta_{40})\) \(\Q(\sqrt{-35}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{40}^{5}-\zeta_{40}^{9})q^{3}-\zeta_{40}^{18}q^{4}+\cdots\)
1925.1.dn.c \(32\) \(0.961\) \(\Q(\zeta_{120})\) \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{120}-\zeta_{120}^{53})q^{2}+(\zeta_{120}^{2}-\zeta_{120}^{46}+\cdots)q^{4}+\cdots\)
1925.2.a.a \(1\) \(15.371\) \(\Q\) None None \(-2\) \(0\) \(0\) \(1\) \(+\) \(q-2q^{2}+2q^{4}+q^{7}-3q^{9}+q^{11}+\cdots\)
1925.2.a.b \(1\) \(15.371\) \(\Q\) None None \(-1\) \(-2\) \(0\) \(-1\) \(+\) \(q-q^{2}-2q^{3}-q^{4}+2q^{6}-q^{7}+3q^{8}+\cdots\)
1925.2.a.c \(1\) \(15.371\) \(\Q\) None None \(-1\) \(-2\) \(0\) \(1\) \(+\) \(q-q^{2}-2q^{3}-q^{4}+2q^{6}+q^{7}+3q^{8}+\cdots\)
1925.2.a.d \(1\) \(15.371\) \(\Q\) None None \(-1\) \(-2\) \(0\) \(1\) \(-\) \(q-q^{2}-2q^{3}-q^{4}+2q^{6}+q^{7}+3q^{8}+\cdots\)
1925.2.a.e \(1\) \(15.371\) \(\Q\) None None \(0\) \(-2\) \(0\) \(1\) \(+\) \(q-2q^{3}-2q^{4}+q^{7}+q^{9}-q^{11}+4q^{12}+\cdots\)
1925.2.a.f \(1\) \(15.371\) \(\Q\) None None \(0\) \(-1\) \(0\) \(-1\) \(+\) \(q-q^{3}-2q^{4}-q^{7}-2q^{9}-q^{11}+2q^{12}+\cdots\)
1925.2.a.g \(1\) \(15.371\) \(\Q\) None None \(0\) \(2\) \(0\) \(-1\) \(+\) \(q+2q^{3}-2q^{4}-q^{7}+q^{9}-q^{11}-4q^{12}+\cdots\)
1925.2.a.h \(1\) \(15.371\) \(\Q\) None None \(0\) \(3\) \(0\) \(1\) \(-\) \(q+3q^{3}-2q^{4}+q^{7}+6q^{9}-q^{11}+\cdots\)
1925.2.a.i \(1\) \(15.371\) \(\Q\) None None \(1\) \(0\) \(0\) \(1\) \(+\) \(q+q^{2}-q^{4}+q^{7}-3q^{8}-3q^{9}+q^{11}+\cdots\)
1925.2.a.j \(1\) \(15.371\) \(\Q\) None None \(1\) \(2\) \(0\) \(-1\) \(+\) \(q+q^{2}+2q^{3}-q^{4}+2q^{6}-q^{7}-3q^{8}+\cdots\)
1925.2.a.k \(1\) \(15.371\) \(\Q\) None None \(1\) \(2\) \(0\) \(-1\) \(+\) \(q+q^{2}+2q^{3}-q^{4}+2q^{6}-q^{7}-3q^{8}+\cdots\)
1925.2.a.l \(1\) \(15.371\) \(\Q\) None None \(1\) \(2\) \(0\) \(1\) \(-\) \(q+q^{2}+2q^{3}-q^{4}+2q^{6}+q^{7}-3q^{8}+\cdots\)
1925.2.a.m \(1\) \(15.371\) \(\Q\) None None \(2\) \(0\) \(0\) \(-1\) \(+\) \(q+2q^{2}+2q^{4}-q^{7}-3q^{9}+q^{11}+\cdots\)
1925.2.a.n \(2\) \(15.371\) \(\Q(\sqrt{2}) \) None None \(-2\) \(0\) \(0\) \(2\) \(+\) \(q+(-1+\beta )q^{2}+\beta q^{3}+(1-2\beta )q^{4}+\cdots\)
1925.2.a.o \(2\) \(15.371\) \(\Q(\sqrt{5}) \) None None \(-1\) \(0\) \(0\) \(-2\) \(+\) \(q-\beta q^{2}+(-1+2\beta )q^{3}+(-1+\beta )q^{4}+\cdots\)
1925.2.a.p \(2\) \(15.371\) \(\Q(\sqrt{13}) \) None None \(-1\) \(2\) \(0\) \(2\) \(+\) \(q-\beta q^{2}+q^{3}+(1+\beta )q^{4}-\beta q^{6}+q^{7}+\cdots\)
1925.2.a.q \(2\) \(15.371\) \(\Q(\sqrt{3}) \) None None \(0\) \(-2\) \(0\) \(-2\) \(+\) \(q+\beta q^{2}+(-1+\beta )q^{3}+q^{4}+(3-\beta )q^{6}+\cdots\)
1925.2.a.r \(2\) \(15.371\) \(\Q(\sqrt{5}) \) None None \(0\) \(-2\) \(0\) \(-2\) \(+\) \(q-\beta q^{2}+(-1+\beta )q^{3}+3q^{4}+(-5+\cdots)q^{6}+\cdots\)
1925.2.a.s \(2\) \(15.371\) \(\Q(\sqrt{13}) \) None None \(1\) \(-2\) \(0\) \(-2\) \(+\) \(q+\beta q^{2}-q^{3}+(1+\beta )q^{4}-\beta q^{6}-q^{7}+\cdots\)
1925.2.a.t \(2\) \(15.371\) \(\Q(\sqrt{5}) \) None None \(1\) \(0\) \(0\) \(2\) \(+\) \(q+\beta q^{2}+(1-2\beta )q^{3}+(-1+\beta )q^{4}+\cdots\)
1925.2.a.u \(3\) \(15.371\) 3.3.148.1 None None \(-1\) \(0\) \(0\) \(-3\) \(-\) \(q-\beta _{1}q^{2}-\beta _{2}q^{3}+(\beta _{1}+\beta _{2})q^{4}+(-1+\cdots)q^{6}+\cdots\)
1925.2.a.v \(3\) \(15.371\) 3.3.148.1 None None \(3\) \(2\) \(0\) \(3\) \(-\) \(q+(1+\beta _{2})q^{2}+(1-\beta _{1})q^{3}+(2-\beta _{1}+\cdots)q^{4}+\cdots\)
1925.2.a.w \(3\) \(15.371\) 3.3.148.1 None None \(3\) \(4\) \(0\) \(-3\) \(-\) \(q+(1+\beta _{2})q^{2}+(1+\beta _{1})q^{3}+(2-\beta _{1}+\cdots)q^{4}+\cdots\)
1925.2.a.x \(4\) \(15.371\) 4.4.11348.1 None None \(-2\) \(-2\) \(0\) \(4\) \(-\) \(q+(-1-\beta _{2})q^{2}+(-1-\beta _{3})q^{3}+(2+\cdots)q^{4}+\cdots\)
1925.2.a.y \(6\) \(15.371\) 6.6.9921856.1 None None \(0\) \(-6\) \(0\) \(6\) \(+\) \(q-\beta _{1}q^{2}+(-\beta _{2}-\beta _{4}-\beta _{5})q^{3}+\beta _{2}q^{4}+\cdots\)
1925.2.a.z \(6\) \(15.371\) 6.6.9921856.1 None None \(0\) \(6\) \(0\) \(-6\) \(-\) \(q+\beta _{1}q^{2}+(\beta _{2}+\beta _{4}+\beta _{5})q^{3}+\beta _{2}q^{4}+\cdots\)
1925.2.a.ba \(7\) \(15.371\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None None \(-1\) \(0\) \(0\) \(-7\) \(-\) \(q-\beta _{1}q^{2}-\beta _{2}q^{3}+(2-\beta _{2}+\beta _{3})q^{4}+\cdots\)
1925.2.a.bb \(7\) \(15.371\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None None \(-1\) \(0\) \(0\) \(-7\) \(-\) \(q-\beta _{1}q^{2}+\beta _{4}q^{3}+(2+\beta _{2})q^{4}-\beta _{6}q^{6}+\cdots\)
1925.2.a.bc \(7\) \(15.371\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None None \(1\) \(0\) \(0\) \(7\) \(-\) \(q+\beta _{1}q^{2}+\beta _{2}q^{3}+(2-\beta _{2}+\beta _{3})q^{4}+\cdots\)
1925.2.a.bd \(7\) \(15.371\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None None \(1\) \(0\) \(0\) \(7\) \(-\) \(q+\beta _{1}q^{2}-\beta _{4}q^{3}+(2+\beta _{2})q^{4}-\beta _{6}q^{6}+\cdots\)
1925.2.a.be \(8\) \(15.371\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None None \(-4\) \(-6\) \(0\) \(-8\) \(+\) \(q+(-1+\beta _{1})q^{2}+(-1-\beta _{5})q^{3}+(2+\cdots)q^{4}+\cdots\)
1925.2.a.bf \(8\) \(15.371\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None None \(4\) \(6\) \(0\) \(8\) \(-\) \(q+(1-\beta _{1})q^{2}+(1+\beta _{5})q^{3}+(2+\beta _{2}+\cdots)q^{4}+\cdots\)
1925.2.b.a \(2\) \(15.371\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(0\) \(0\) \(q+2iq^{2}-2q^{4}-iq^{7}+3q^{9}+q^{11}+\cdots\)
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