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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
1425.1.j.a \(2\) \(0.711\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-95}) \) None \(-2\) \(0\) \(0\) \(0\) \(q+(-1-i)q^{2}-iq^{3}+iq^{4}+(-1+\cdots)q^{6}+\cdots\)
1425.1.j.b \(2\) \(0.711\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-95}) \) None \(-2\) \(2\) \(0\) \(0\) \(q+(-1-i)q^{2}+q^{3}+iq^{4}+(-1-i+\cdots)q^{6}+\cdots\)
1425.1.j.c \(2\) \(0.711\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-95}) \) None \(2\) \(-2\) \(0\) \(0\) \(q+(1+i)q^{2}-q^{3}+iq^{4}+(-1-i+\cdots)q^{6}+\cdots\)
1425.1.j.d \(2\) \(0.711\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-95}) \) None \(2\) \(0\) \(0\) \(0\) \(q+(1+i)q^{2}+iq^{3}+iq^{4}+(-1+i+\cdots)q^{6}+\cdots\)
1425.1.j.e \(4\) \(0.711\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-95}) \) \(\Q(\sqrt{285}) \) \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}^{3}q^{3}+\zeta_{8}^{2}q^{4}-\zeta_{8}^{2}q^{9}+\zeta_{8}q^{12}+\cdots\)
1425.1.j.f \(4\) \(0.711\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-95}) \) \(\Q(\sqrt{57}) \) \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}^{3}q^{2}+\zeta_{8}q^{3}-3\zeta_{8}^{2}q^{4}+2q^{6}+\cdots\)
1425.1.j.g \(8\) \(0.711\) \(\Q(\zeta_{24})\) None \(\Q(\sqrt{57}) \) \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{9}q^{2}-\zeta_{24}^{3}q^{3}-q^{6}+(-\zeta_{24}^{7}+\cdots)q^{7}+\cdots\)
1425.1.o.a \(4\) \(0.711\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}^{5}q^{3}-\zeta_{12}^{4}q^{4}-\zeta_{12}^{3}q^{7}+\cdots\)
1425.1.t.a \(2\) \(0.711\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(2\) \(q-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}+q^{7}-\zeta_{6}q^{9}-q^{12}+\cdots\)
1425.1.t.b \(4\) \(0.711\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}^{5}q^{2}+\zeta_{12}^{5}q^{3}-\zeta_{12}^{4}q^{6}+\cdots\)
1425.1.be.a \(8\) \(0.711\) \(\Q(\zeta_{24})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{7}q^{3}+\zeta_{24}^{2}q^{4}+(-\zeta_{24}-\zeta_{24}^{5}+\cdots)q^{7}+\cdots\)
1425.1.be.b \(8\) \(0.711\) \(\Q(\zeta_{24})\) \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{7}q^{2}+\zeta_{24}q^{3}-\zeta_{24}^{8}q^{6}-\zeta_{24}^{9}q^{8}+\cdots\)
1425.1.bk.a \(6\) \(0.711\) \(\Q(\zeta_{18})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{18}^{5}q^{3}-\zeta_{18}^{7}q^{4}+(\zeta_{18}^{2}+\zeta_{18}^{4}+\cdots)q^{7}+\cdots\)
1425.1.bk.b \(6\) \(0.711\) \(\Q(\zeta_{18})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{18}^{5}q^{3}-\zeta_{18}^{7}q^{4}+(-\zeta_{18}^{2}-\zeta_{18}^{4}+\cdots)q^{7}+\cdots\)
1425.1.bk.c \(12\) \(0.711\) \(\Q(\zeta_{36})\) \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{36}^{3}-\zeta_{36}^{11})q^{2}-\zeta_{36}q^{3}+\cdots\)
1425.1.bm.a \(12\) \(0.711\) \(\Q(\zeta_{36})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{36}^{7}q^{3}-\zeta_{36}^{8}q^{4}+(-\zeta_{36}+\zeta_{36}^{11}+\cdots)q^{7}+\cdots\)
1425.1.cd.a \(24\) \(0.711\) \(\Q(\zeta_{72})\) \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{72}^{3}+\zeta_{72}^{35})q^{2}+\zeta_{72}^{13}q^{3}+\cdots\)
1425.1.cd.b \(24\) \(0.711\) \(\Q(\zeta_{72})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{72}^{31}q^{3}+\zeta_{72}^{2}q^{4}+(\zeta_{72}^{5}+\zeta_{72}^{25}+\cdots)q^{7}+\cdots\)
1425.2.a.a \(1\) \(11.379\) \(\Q\) None None \(-1\) \(-1\) \(0\) \(0\) \(+\) \(q-q^{2}-q^{3}-q^{4}+q^{6}+3q^{8}+q^{9}+\cdots\)
1425.2.a.b \(1\) \(11.379\) \(\Q\) None None \(-1\) \(-1\) \(0\) \(0\) \(-\) \(q-q^{2}-q^{3}-q^{4}+q^{6}+3q^{8}+q^{9}+\cdots\)
1425.2.a.c \(1\) \(11.379\) \(\Q\) None None \(-1\) \(1\) \(0\) \(-4\) \(-\) \(q-q^{2}+q^{3}-q^{4}-q^{6}-4q^{7}+3q^{8}+\cdots\)
1425.2.a.d \(1\) \(11.379\) \(\Q\) None None \(-1\) \(1\) \(0\) \(2\) \(-\) \(q-q^{2}+q^{3}-q^{4}-q^{6}+2q^{7}+3q^{8}+\cdots\)
1425.2.a.e \(1\) \(11.379\) \(\Q\) None None \(-1\) \(1\) \(0\) \(4\) \(-\) \(q-q^{2}+q^{3}-q^{4}-q^{6}+4q^{7}+3q^{8}+\cdots\)
1425.2.a.f \(1\) \(11.379\) \(\Q\) None None \(1\) \(-1\) \(0\) \(-4\) \(-\) \(q+q^{2}-q^{3}-q^{4}-q^{6}-4q^{7}-3q^{8}+\cdots\)
1425.2.a.g \(1\) \(11.379\) \(\Q\) None None \(1\) \(-1\) \(0\) \(2\) \(-\) \(q+q^{2}-q^{3}-q^{4}-q^{6}+2q^{7}-3q^{8}+\cdots\)
1425.2.a.h \(1\) \(11.379\) \(\Q\) None None \(1\) \(1\) \(0\) \(0\) \(-\) \(q+q^{2}+q^{3}-q^{4}+q^{6}-3q^{8}+q^{9}+\cdots\)
1425.2.a.i \(1\) \(11.379\) \(\Q\) None None \(2\) \(-1\) \(0\) \(-3\) \(+\) \(q+2q^{2}-q^{3}+2q^{4}-2q^{6}-3q^{7}+\cdots\)
1425.2.a.j \(1\) \(11.379\) \(\Q\) None None \(2\) \(1\) \(0\) \(5\) \(-\) \(q+2q^{2}+q^{3}+2q^{4}+2q^{6}+5q^{7}+\cdots\)
1425.2.a.k \(2\) \(11.379\) \(\Q(\sqrt{2}) \) None None \(-2\) \(-2\) \(0\) \(0\) \(+\) \(q+(-1+\beta )q^{2}-q^{3}+(1-2\beta )q^{4}+(1+\cdots)q^{6}+\cdots\)
1425.2.a.l \(2\) \(11.379\) \(\Q(\sqrt{2}) \) None None \(-2\) \(2\) \(0\) \(-4\) \(+\) \(q+(-1+\beta )q^{2}+q^{3}+(1-2\beta )q^{4}+(-1+\cdots)q^{6}+\cdots\)
1425.2.a.m \(2\) \(11.379\) \(\Q(\sqrt{5}) \) None None \(-1\) \(-2\) \(0\) \(4\) \(+\) \(q-\beta q^{2}-q^{3}+(-1+\beta )q^{4}+\beta q^{6}+\cdots\)
1425.2.a.n \(2\) \(11.379\) \(\Q(\sqrt{5}) \) None None \(-1\) \(2\) \(0\) \(0\) \(+\) \(q-\beta q^{2}+q^{3}+(-1+\beta )q^{4}-\beta q^{6}+\cdots\)
1425.2.a.o \(2\) \(11.379\) \(\Q(\sqrt{3}) \) None None \(0\) \(-2\) \(0\) \(2\) \(-\) \(q+\beta q^{2}-q^{3}+q^{4}-\beta q^{6}+(1+\beta )q^{7}+\cdots\)
1425.2.a.p \(2\) \(11.379\) \(\Q(\sqrt{7}) \) None None \(0\) \(2\) \(0\) \(2\) \(-\) \(q+\beta q^{2}+q^{3}+5q^{4}+\beta q^{6}+(1-\beta )q^{7}+\cdots\)
1425.2.a.q \(2\) \(11.379\) \(\Q(\sqrt{5}) \) None None \(1\) \(-2\) \(0\) \(0\) \(+\) \(q+\beta q^{2}-q^{3}+(-1+\beta )q^{4}-\beta q^{6}+\cdots\)
1425.2.a.r \(2\) \(11.379\) \(\Q(\sqrt{5}) \) None None \(1\) \(2\) \(0\) \(-4\) \(+\) \(q+\beta q^{2}+q^{3}+(-1+\beta )q^{4}+\beta q^{6}+\cdots\)
1425.2.a.s \(3\) \(11.379\) 3.3.148.1 None None \(-1\) \(3\) \(0\) \(-8\) \(+\) \(q-\beta _{1}q^{2}+q^{3}+(\beta _{1}+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots\)
1425.2.a.t \(3\) \(11.379\) 3.3.837.1 None None \(0\) \(-3\) \(0\) \(0\) \(-\) \(q+\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots\)
1425.2.a.u \(3\) \(11.379\) 3.3.621.1 None None \(0\) \(-3\) \(0\) \(0\) \(-\) \(q+\beta _{1}q^{2}-q^{3}+(2+\beta _{1}+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots\)
1425.2.a.v \(3\) \(11.379\) 3.3.621.1 None None \(0\) \(3\) \(0\) \(0\) \(-\) \(q-\beta _{1}q^{2}+q^{3}+(2+\beta _{1}+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots\)
1425.2.a.w \(3\) \(11.379\) 3.3.837.1 None None \(0\) \(3\) \(0\) \(0\) \(-\) \(q-\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots\)
1425.2.a.x \(3\) \(11.379\) 3.3.148.1 None None \(1\) \(-3\) \(0\) \(8\) \(-\) \(q+\beta _{1}q^{2}-q^{3}+(\beta _{1}+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots\)
1425.2.a.y \(7\) \(11.379\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None None \(-3\) \(-7\) \(0\) \(-8\) \(+\) \(q-\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots\)
1425.2.a.z \(7\) \(11.379\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None None \(3\) \(7\) \(0\) \(8\) \(-\) \(q+\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots\)
1425.2.c.a \(2\) \(11.379\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(0\) \(0\) \(q+2iq^{2}+iq^{3}-2q^{4}-2q^{6}-3iq^{7}+\cdots\)
1425.2.c.b \(2\) \(11.379\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(0\) \(0\) \(q+2iq^{2}-iq^{3}-2q^{4}+2q^{6}+5iq^{7}+\cdots\)
1425.2.c.c \(2\) \(11.379\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(0\) \(0\) \(q+iq^{2}+iq^{3}+q^{4}-q^{6}+2iq^{7}+\cdots\)
1425.2.c.d \(2\) \(11.379\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(0\) \(0\) \(q+iq^{2}+iq^{3}+q^{4}-q^{6}-2iq^{7}+\cdots\)
1425.2.c.e \(2\) \(11.379\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(0\) \(0\) \(q+iq^{2}+iq^{3}+q^{4}-q^{6}-4iq^{7}+\cdots\)
1425.2.c.f \(2\) \(11.379\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(0\) \(0\) \(q+iq^{2}+iq^{3}+q^{4}-q^{6}+4iq^{7}+\cdots\)
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