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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
3120.1.be.a \(1\) \(1.557\) \(\Q\) \(\Q(\sqrt{-195}) \) None \(0\) \(-1\) \(-1\) \(-1\) \(q-q^{3}-q^{5}-q^{7}+q^{9}-q^{11}-q^{13}+\cdots\)
3120.1.be.b \(1\) \(1.557\) \(\Q\) \(\Q(\sqrt{-195}) \) None \(0\) \(-1\) \(1\) \(1\) \(q-q^{3}+q^{5}+q^{7}+q^{9}+q^{11}+q^{13}+\cdots\)
3120.1.be.c \(1\) \(1.557\) \(\Q\) \(\Q(\sqrt{-195}) \) None \(0\) \(1\) \(-1\) \(1\) \(q+q^{3}-q^{5}+q^{7}+q^{9}-q^{11}+q^{13}+\cdots\)
3120.1.be.d \(1\) \(1.557\) \(\Q\) \(\Q(\sqrt{-195}) \) None \(0\) \(1\) \(1\) \(-1\) \(q+q^{3}+q^{5}-q^{7}+q^{9}+q^{11}-q^{13}+\cdots\)
3120.1.be.e \(4\) \(1.557\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-39}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{8}^{2}q^{3}+\zeta_{8}^{3}q^{5}-q^{9}+(-\zeta_{8}+\zeta_{8}^{3}+\cdots)q^{11}+\cdots\)
3120.1.bu.a \(4\) \(1.557\) \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}^{3}q^{3}-\zeta_{8}^{3}q^{5}+\zeta_{8}^{2}q^{7}-\zeta_{8}^{2}q^{9}+\cdots\)
3120.1.bx.a \(8\) \(1.557\) \(\Q(\zeta_{16})\) \(\Q(\sqrt{-39}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{16}^{3}q^{2}+\zeta_{16}^{2}q^{3}+\zeta_{16}^{6}q^{4}+\cdots\)
3120.1.bx.b \(8\) \(1.557\) \(\Q(\zeta_{16})\) \(\Q(\sqrt{-39}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{16}^{3}q^{2}-\zeta_{16}^{2}q^{3}+\zeta_{16}^{6}q^{4}+\cdots\)
3120.1.dl.a \(2\) \(1.557\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-39}) \) None \(-2\) \(0\) \(0\) \(0\) \(q-q^{2}+iq^{3}+q^{4}-iq^{5}-iq^{6}-q^{8}+\cdots\)
3120.1.dl.b \(2\) \(1.557\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-39}) \) None \(0\) \(0\) \(-2\) \(0\) \(q+iq^{2}-iq^{3}-q^{4}-q^{5}+q^{6}-iq^{8}+\cdots\)
3120.1.dl.c \(2\) \(1.557\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-39}) \) None \(0\) \(0\) \(2\) \(0\) \(q-iq^{2}-iq^{3}-q^{4}+q^{5}-q^{6}+iq^{8}+\cdots\)
3120.1.dl.d \(2\) \(1.557\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-39}) \) None \(2\) \(0\) \(0\) \(0\) \(q+q^{2}+iq^{3}+q^{4}+iq^{5}+iq^{6}+q^{8}+\cdots\)
3120.1.dl.e \(4\) \(1.557\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-39}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}q^{2}+\zeta_{8}^{2}q^{3}+\zeta_{8}^{2}q^{4}+\zeta_{8}q^{5}+\cdots\)
3120.1.dl.f \(4\) \(1.557\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-39}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{3}-\zeta_{8}^{2}q^{4}-\zeta_{8}^{3}q^{5}+\cdots\)
3120.1.dq.a \(2\) \(1.557\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-39}) \) None \(-2\) \(-2\) \(0\) \(0\) \(q-q^{2}-q^{3}+q^{4}+iq^{5}+q^{6}-q^{8}+\cdots\)
3120.1.dq.b \(2\) \(1.557\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-39}) \) None \(0\) \(2\) \(-2\) \(0\) \(q+iq^{2}+q^{3}-q^{4}-q^{5}+iq^{6}-iq^{8}+\cdots\)
3120.1.dq.c \(2\) \(1.557\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-39}) \) None \(0\) \(2\) \(2\) \(0\) \(q-iq^{2}+q^{3}-q^{4}+q^{5}-iq^{6}+iq^{8}+\cdots\)
3120.1.dq.d \(2\) \(1.557\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-39}) \) None \(2\) \(-2\) \(0\) \(0\) \(q+q^{2}-q^{3}+q^{4}-iq^{5}-q^{6}+q^{8}+\cdots\)
3120.1.dq.e \(4\) \(1.557\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-39}) \) None \(0\) \(-4\) \(0\) \(0\) \(q-\zeta_{8}q^{2}-q^{3}+\zeta_{8}^{2}q^{4}+\zeta_{8}^{3}q^{5}+\cdots\)
3120.1.dq.f \(4\) \(1.557\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-39}) \) None \(0\) \(4\) \(0\) \(0\) \(q-\zeta_{8}^{3}q^{2}+q^{3}-\zeta_{8}^{2}q^{4}-\zeta_{8}q^{5}+\cdots\)
3120.1.ff.a \(4\) \(1.557\) \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(0\) \(-4\) \(q-\zeta_{8}q^{3}-\zeta_{8}^{3}q^{5}-q^{7}+\zeta_{8}^{2}q^{9}+\cdots\)
3120.1.iq.a \(8\) \(1.557\) \(\Q(\zeta_{24})\) None None \(0\) \(0\) \(0\) \(4\) \(q-\zeta_{24}q^{2}-\zeta_{24}^{10}q^{3}+\zeta_{24}^{2}q^{4}+\cdots\)
3120.1.iv.a \(8\) \(1.557\) \(\Q(\zeta_{24})\) None None \(0\) \(-4\) \(0\) \(4\) \(q-\zeta_{24}q^{2}-\zeta_{24}^{4}q^{3}+\zeta_{24}^{2}q^{4}-\zeta_{24}^{9}q^{5}+\cdots\)
3120.2.a.a \(1\) \(24.913\) \(\Q\) None None \(0\) \(-1\) \(-1\) \(-4\) \(-\) \(q-q^{3}-q^{5}-4q^{7}+q^{9}-q^{13}+q^{15}+\cdots\)
3120.2.a.b \(1\) \(24.913\) \(\Q\) None None \(0\) \(-1\) \(-1\) \(-2\) \(+\) \(q-q^{3}-q^{5}-2q^{7}+q^{9}+q^{13}+q^{15}+\cdots\)
3120.2.a.c \(1\) \(24.913\) \(\Q\) None None \(0\) \(-1\) \(-1\) \(0\) \(+\) \(q-q^{3}-q^{5}+q^{9}-q^{13}+q^{15}+2q^{17}+\cdots\)
3120.2.a.d \(1\) \(24.913\) \(\Q\) None None \(0\) \(-1\) \(-1\) \(1\) \(-\) \(q-q^{3}-q^{5}+q^{7}+q^{9}-5q^{11}-q^{13}+\cdots\)
3120.2.a.e \(1\) \(24.913\) \(\Q\) None None \(0\) \(-1\) \(-1\) \(1\) \(+\) \(q-q^{3}-q^{5}+q^{7}+q^{9}-3q^{11}+q^{13}+\cdots\)
3120.2.a.f \(1\) \(24.913\) \(\Q\) None None \(0\) \(-1\) \(-1\) \(1\) \(-\) \(q-q^{3}-q^{5}+q^{7}+q^{9}+5q^{11}+q^{13}+\cdots\)
3120.2.a.g \(1\) \(24.913\) \(\Q\) None None \(0\) \(-1\) \(-1\) \(2\) \(-\) \(q-q^{3}-q^{5}+2q^{7}+q^{9}+6q^{11}-q^{13}+\cdots\)
3120.2.a.h \(1\) \(24.913\) \(\Q\) None None \(0\) \(-1\) \(-1\) \(4\) \(-\) \(q-q^{3}-q^{5}+4q^{7}+q^{9}-4q^{11}+q^{13}+\cdots\)
3120.2.a.i \(1\) \(24.913\) \(\Q\) None None \(0\) \(-1\) \(1\) \(-4\) \(+\) \(q-q^{3}+q^{5}-4q^{7}+q^{9}+q^{13}-q^{15}+\cdots\)
3120.2.a.j \(1\) \(24.913\) \(\Q\) None None \(0\) \(-1\) \(1\) \(-2\) \(-\) \(q-q^{3}+q^{5}-2q^{7}+q^{9}+q^{13}-q^{15}+\cdots\)
3120.2.a.k \(1\) \(24.913\) \(\Q\) None None \(0\) \(-1\) \(1\) \(0\) \(-\) \(q-q^{3}+q^{5}+q^{9}-4q^{11}+q^{13}-q^{15}+\cdots\)
3120.2.a.l \(1\) \(24.913\) \(\Q\) None None \(0\) \(-1\) \(1\) \(2\) \(+\) \(q-q^{3}+q^{5}+2q^{7}+q^{9}+q^{13}-q^{15}+\cdots\)
3120.2.a.m \(1\) \(24.913\) \(\Q\) None None \(0\) \(-1\) \(1\) \(3\) \(-\) \(q-q^{3}+q^{5}+3q^{7}+q^{9}+3q^{11}-q^{13}+\cdots\)
3120.2.a.n \(1\) \(24.913\) \(\Q\) None None \(0\) \(-1\) \(1\) \(3\) \(-\) \(q-q^{3}+q^{5}+3q^{7}+q^{9}+5q^{11}+q^{13}+\cdots\)
3120.2.a.o \(1\) \(24.913\) \(\Q\) None None \(0\) \(1\) \(-1\) \(-2\) \(+\) \(q+q^{3}-q^{5}-2q^{7}+q^{9}-4q^{11}-q^{13}+\cdots\)
3120.2.a.p \(1\) \(24.913\) \(\Q\) None None \(0\) \(1\) \(-1\) \(0\) \(+\) \(q+q^{3}-q^{5}+q^{9}-4q^{11}+q^{13}-q^{15}+\cdots\)
3120.2.a.q \(1\) \(24.913\) \(\Q\) None None \(0\) \(1\) \(-1\) \(0\) \(+\) \(q+q^{3}-q^{5}+q^{9}-q^{13}-q^{15}-6q^{17}+\cdots\)
3120.2.a.r \(1\) \(24.913\) \(\Q\) None None \(0\) \(1\) \(-1\) \(0\) \(+\) \(q+q^{3}-q^{5}+q^{9}+q^{13}-q^{15}-6q^{17}+\cdots\)
3120.2.a.s \(1\) \(24.913\) \(\Q\) None None \(0\) \(1\) \(1\) \(-4\) \(-\) \(q+q^{3}+q^{5}-4q^{7}+q^{9}-4q^{11}+q^{13}+\cdots\)
3120.2.a.t \(1\) \(24.913\) \(\Q\) None None \(0\) \(1\) \(1\) \(-3\) \(+\) \(q+q^{3}+q^{5}-3q^{7}+q^{9}-q^{11}+q^{13}+\cdots\)
3120.2.a.u \(1\) \(24.913\) \(\Q\) None None \(0\) \(1\) \(1\) \(-3\) \(-\) \(q+q^{3}+q^{5}-3q^{7}+q^{9}+q^{11}-q^{13}+\cdots\)
3120.2.a.v \(1\) \(24.913\) \(\Q\) None None \(0\) \(1\) \(1\) \(-2\) \(+\) \(q+q^{3}+q^{5}-2q^{7}+q^{9}-4q^{11}-q^{13}+\cdots\)
3120.2.a.w \(1\) \(24.913\) \(\Q\) None None \(0\) \(1\) \(1\) \(0\) \(+\) \(q+q^{3}+q^{5}+q^{9}-4q^{11}+q^{13}+q^{15}+\cdots\)
3120.2.a.x \(1\) \(24.913\) \(\Q\) None None \(0\) \(1\) \(1\) \(0\) \(-\) \(q+q^{3}+q^{5}+q^{9}+4q^{11}+q^{13}+q^{15}+\cdots\)
3120.2.a.y \(1\) \(24.913\) \(\Q\) None None \(0\) \(1\) \(1\) \(2\) \(-\) \(q+q^{3}+q^{5}+2q^{7}+q^{9}-4q^{11}-q^{13}+\cdots\)
3120.2.a.z \(1\) \(24.913\) \(\Q\) None None \(0\) \(1\) \(1\) \(2\) \(-\) \(q+q^{3}+q^{5}+2q^{7}+q^{9}+2q^{11}-q^{13}+\cdots\)
3120.2.a.ba \(1\) \(24.913\) \(\Q\) None None \(0\) \(1\) \(1\) \(5\) \(-\) \(q+q^{3}+q^{5}+5q^{7}+q^{9}-q^{11}+q^{13}+\cdots\)
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