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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
3864.1.v.a \(1\) \(1.928\) \(\Q\) \(\Q(\sqrt{-966}) \) None \(-1\) \(-1\) \(-1\) \(-1\) \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots\)
3864.1.v.b \(1\) \(1.928\) \(\Q\) \(\Q(\sqrt{-966}) \) None \(-1\) \(-1\) \(1\) \(1\) \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots\)
3864.1.v.c \(1\) \(1.928\) \(\Q\) \(\Q(\sqrt{-966}) \) None \(-1\) \(1\) \(-1\) \(-1\) \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots\)
3864.1.v.d \(1\) \(1.928\) \(\Q\) \(\Q(\sqrt{-966}) \) None \(-1\) \(1\) \(1\) \(1\) \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\cdots\)
3864.1.v.e \(1\) \(1.928\) \(\Q\) \(\Q(\sqrt{-966}) \) None \(1\) \(-1\) \(-1\) \(1\) \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots\)
3864.1.v.f \(1\) \(1.928\) \(\Q\) \(\Q(\sqrt{-966}) \) None \(1\) \(-1\) \(1\) \(-1\) \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots\)
3864.1.v.g \(1\) \(1.928\) \(\Q\) \(\Q(\sqrt{-966}) \) None \(1\) \(1\) \(-1\) \(1\) \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{7}+\cdots\)
3864.1.v.h \(1\) \(1.928\) \(\Q\) \(\Q(\sqrt{-966}) \) None \(1\) \(1\) \(1\) \(-1\) \(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}-q^{7}+\cdots\)
3864.1.v.i \(4\) \(1.928\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-14}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{8}^{2}q^{2}-\zeta_{8}q^{3}-q^{4}+(-\zeta_{8}+\zeta_{8}^{3}+\cdots)q^{5}+\cdots\)
3864.1.v.j \(4\) \(1.928\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-14}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}^{2}q^{2}-\zeta_{8}^{3}q^{3}-q^{4}+(-\zeta_{8}+\zeta_{8}^{3}+\cdots)q^{5}+\cdots\)
3864.1.bx.a \(2\) \(1.928\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-138}) \) None \(-1\) \(-1\) \(0\) \(-1\) \(q-\zeta_{6}q^{2}+\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}+q^{6}+\cdots\)
3864.1.bx.b \(2\) \(1.928\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-138}) \) None \(-1\) \(-1\) \(0\) \(1\) \(q-\zeta_{6}q^{2}+\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}+q^{6}+\cdots\)
3864.1.bx.c \(2\) \(1.928\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-138}) \) None \(1\) \(-1\) \(0\) \(-1\) \(q+\zeta_{6}q^{2}+\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}-q^{6}+\cdots\)
3864.1.bx.d \(2\) \(1.928\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-138}) \) None \(1\) \(-1\) \(0\) \(1\) \(q+\zeta_{6}q^{2}+\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}-q^{6}+\cdots\)
3864.1.bx.e \(4\) \(1.928\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-138}) \) None \(-2\) \(2\) \(0\) \(0\) \(q+\zeta_{12}^{4}q^{2}+\zeta_{12}^{2}q^{3}-\zeta_{12}^{2}q^{4}+\cdots\)
3864.1.bx.f \(4\) \(1.928\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-138}) \) None \(2\) \(2\) \(0\) \(0\) \(q-\zeta_{12}^{4}q^{2}+\zeta_{12}^{2}q^{3}-\zeta_{12}^{2}q^{4}+\cdots\)
3864.1.cx.a \(40\) \(1.928\) \(\Q(\zeta_{88})\) \(\Q(\sqrt{-14}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{88}^{42}q^{2}-\zeta_{88}^{23}q^{3}-\zeta_{88}^{40}q^{4}+\cdots\)
3864.1.cx.b \(40\) \(1.928\) \(\Q(\zeta_{88})\) \(\Q(\sqrt{-14}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{88}^{6}q^{2}-\zeta_{88}^{11}q^{3}+\zeta_{88}^{12}q^{4}+\cdots\)
3864.1.dl.a \(10\) \(1.928\) \(\Q(\zeta_{22})\) \(\Q(\sqrt{-42}) \) None \(-1\) \(-1\) \(0\) \(-1\) \(q-\zeta_{22}^{5}q^{2}-\zeta_{22}^{7}q^{3}+\zeta_{22}^{10}q^{4}+\cdots\)
3864.1.dl.b \(10\) \(1.928\) \(\Q(\zeta_{22})\) \(\Q(\sqrt{-42}) \) None \(-1\) \(1\) \(0\) \(1\) \(q-\zeta_{22}^{5}q^{2}+\zeta_{22}^{7}q^{3}+\zeta_{22}^{10}q^{4}+\cdots\)
3864.1.dl.c \(10\) \(1.928\) \(\Q(\zeta_{22})\) \(\Q(\sqrt{-42}) \) None \(1\) \(-1\) \(0\) \(1\) \(q+\zeta_{22}^{5}q^{2}-\zeta_{22}^{7}q^{3}+\zeta_{22}^{10}q^{4}+\cdots\)
3864.1.dl.d \(10\) \(1.928\) \(\Q(\zeta_{22})\) \(\Q(\sqrt{-42}) \) None \(1\) \(1\) \(0\) \(-1\) \(q+\zeta_{22}^{5}q^{2}+\zeta_{22}^{7}q^{3}+\zeta_{22}^{10}q^{4}+\cdots\)
3864.2.a.a \(1\) \(30.854\) \(\Q\) None None \(0\) \(-1\) \(-3\) \(-1\) \(-\) \(q-q^{3}-3q^{5}-q^{7}+q^{9}-q^{13}+3q^{15}+\cdots\)
3864.2.a.b \(1\) \(30.854\) \(\Q\) None None \(0\) \(-1\) \(0\) \(-1\) \(-\) \(q-q^{3}-q^{7}+q^{9}-2q^{11}-6q^{13}+\cdots\)
3864.2.a.c \(1\) \(30.854\) \(\Q\) None None \(0\) \(1\) \(0\) \(-1\) \(+\) \(q+q^{3}-q^{7}+q^{9}+q^{11}-6q^{13}+7q^{19}+\cdots\)
3864.2.a.d \(1\) \(30.854\) \(\Q\) None None \(0\) \(1\) \(2\) \(1\) \(-\) \(q+q^{3}+2q^{5}+q^{7}+q^{9}+6q^{13}+2q^{15}+\cdots\)
3864.2.a.e \(1\) \(30.854\) \(\Q\) None None \(0\) \(1\) \(2\) \(1\) \(-\) \(q+q^{3}+2q^{5}+q^{7}+q^{9}+4q^{11}+4q^{13}+\cdots\)
3864.2.a.f \(1\) \(30.854\) \(\Q\) None None \(0\) \(1\) \(4\) \(1\) \(-\) \(q+q^{3}+4q^{5}+q^{7}+q^{9}+3q^{11}-2q^{13}+\cdots\)
3864.2.a.g \(2\) \(30.854\) \(\Q(\sqrt{41}) \) None None \(0\) \(-2\) \(0\) \(2\) \(+\) \(q-q^{3}+q^{7}+q^{9}-\beta q^{11}+2q^{13}+\cdots\)
3864.2.a.h \(2\) \(30.854\) \(\Q(\sqrt{29}) \) None None \(0\) \(-2\) \(1\) \(-2\) \(-\) \(q-q^{3}+\beta q^{5}-q^{7}+q^{9}+5q^{11}+(1+\cdots)q^{13}+\cdots\)
3864.2.a.i \(2\) \(30.854\) \(\Q(\sqrt{33}) \) None None \(0\) \(-2\) \(1\) \(2\) \(-\) \(q-q^{3}+\beta q^{5}+q^{7}+q^{9}+(1-\beta )q^{11}+\cdots\)
3864.2.a.j \(2\) \(30.854\) \(\Q(\sqrt{5}) \) None None \(0\) \(2\) \(-1\) \(2\) \(+\) \(q+q^{3}-\beta q^{5}+q^{7}+q^{9}+(-3+2\beta )q^{11}+\cdots\)
3864.2.a.k \(3\) \(30.854\) 3.3.621.1 None None \(0\) \(-3\) \(-3\) \(3\) \(+\) \(q-q^{3}+(-1-\beta _{1}+\beta _{2})q^{5}+q^{7}+q^{9}+\cdots\)
3864.2.a.l \(3\) \(30.854\) 3.3.229.1 None None \(0\) \(-3\) \(-1\) \(-3\) \(+\) \(q-q^{3}+\beta _{2}q^{5}-q^{7}+q^{9}+(1+\beta _{1}+\cdots)q^{11}+\cdots\)
3864.2.a.m \(3\) \(30.854\) 3.3.837.1 None None \(0\) \(-3\) \(0\) \(3\) \(-\) \(q-q^{3}+\beta _{1}q^{5}+q^{7}+q^{9}+(2-\beta _{1}+\cdots)q^{11}+\cdots\)
3864.2.a.n \(3\) \(30.854\) 3.3.1229.1 None None \(0\) \(-3\) \(1\) \(3\) \(-\) \(q-q^{3}+\beta _{1}q^{5}+q^{7}+q^{9}+(-1+\beta _{1}+\cdots)q^{11}+\cdots\)
3864.2.a.o \(3\) \(30.854\) 3.3.733.1 None None \(0\) \(3\) \(-3\) \(-3\) \(+\) \(q+q^{3}+(-1-\beta _{2})q^{5}-q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots\)
3864.2.a.p \(3\) \(30.854\) 3.3.229.1 None None \(0\) \(3\) \(-3\) \(3\) \(+\) \(q+q^{3}+(-1+\beta _{1})q^{5}+q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots\)
3864.2.a.q \(3\) \(30.854\) 3.3.229.1 None None \(0\) \(3\) \(1\) \(-3\) \(+\) \(q+q^{3}-\beta _{2}q^{5}-q^{7}+q^{9}+(-1-\beta _{1}+\cdots)q^{11}+\cdots\)
3864.2.a.r \(4\) \(30.854\) 4.4.2225.1 None None \(0\) \(-4\) \(-3\) \(4\) \(+\) \(q-q^{3}+(-1-\beta _{3})q^{5}+q^{7}+q^{9}+(1+\cdots)q^{11}+\cdots\)
3864.2.a.s \(4\) \(30.854\) 4.4.75645.1 None None \(0\) \(-4\) \(1\) \(-4\) \(+\) \(q-q^{3}+\beta _{1}q^{5}-q^{7}+q^{9}+(-1-\beta _{1}+\cdots)q^{11}+\cdots\)
3864.2.a.t \(4\) \(30.854\) 4.4.39605.1 None None \(0\) \(4\) \(-2\) \(-4\) \(-\) \(q+q^{3}+(-1+\beta _{1})q^{5}-q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots\)
3864.2.a.u \(4\) \(30.854\) 4.4.256549.1 None None \(0\) \(4\) \(2\) \(4\) \(-\) \(q+q^{3}+\beta _{1}q^{5}+q^{7}+q^{9}+(-1-\beta _{2}+\cdots)q^{11}+\cdots\)
3864.2.a.v \(5\) \(30.854\) 5.5.17679757.1 None None \(0\) \(5\) \(-6\) \(5\) \(-\) \(q+q^{3}+(-1-\beta _{1})q^{5}+q^{7}+q^{9}+(-\beta _{1}+\cdots)q^{11}+\cdots\)
3864.2.a.w \(6\) \(30.854\) \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None None \(0\) \(-6\) \(2\) \(-6\) \(-\) \(q-q^{3}-\beta _{3}q^{5}-q^{7}+q^{9}+\beta _{4}q^{11}+\cdots\)
3864.2.a.x \(6\) \(30.854\) \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None None \(0\) \(6\) \(0\) \(-6\) \(-\) \(q+q^{3}+\beta _{5}q^{5}-q^{7}+q^{9}+(1+\beta _{4}+\cdots)q^{11}+\cdots\)
3864.2.u.a \(4\) \(30.854\) \(\Q(i, \sqrt{5})\) None None \(0\) \(0\) \(-6\) \(6\) \(q-\beta _{3}q^{3}+(-2-\beta _{2})q^{5}+(1+\beta _{1}-\beta _{2}+\cdots)q^{7}+\cdots\)
3864.2.u.b \(4\) \(30.854\) \(\Q(i, \sqrt{5})\) None None \(0\) \(0\) \(6\) \(-6\) \(q-\beta _{3}q^{3}+(2+\beta _{2})q^{5}+(-1-\beta _{1}+\beta _{2}+\cdots)q^{7}+\cdots\)
3864.2.u.c \(8\) \(30.854\) 8.0.2992527616.3 None None \(0\) \(0\) \(-2\) \(2\) \(q+\beta _{5}q^{3}+\beta _{3}q^{5}+(\beta _{1}+\beta _{4})q^{7}-q^{9}+\cdots\)
3864.2.u.d \(8\) \(30.854\) 8.0.342102016.5 None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{3}q^{3}-\beta _{2}q^{5}+(-\beta _{4}+\beta _{6})q^{7}+\cdots\)
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