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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
2016.1.e.a \(4\) \(1.006\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{8}^{2}q^{7}+(\zeta_{8}+\zeta_{8}^{3})q^{11}+(-\zeta_{8}+\cdots)q^{23}+\cdots\)
2016.1.f.a \(4\) \(1.006\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-21}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{8}-\zeta_{8}^{3})q^{5}+\zeta_{8}^{2}q^{7}+(-\zeta_{8}+\cdots)q^{11}+\cdots\)
2016.1.l.a \(1\) \(1.006\) \(\Q\) \(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-14}) \) \(\Q(\sqrt{2}) \) \(0\) \(0\) \(0\) \(1\) \(q+q^{7}+2q^{23}-q^{25}+q^{49}-2q^{71}+\cdots\)
2016.1.l.b \(2\) \(1.006\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-6}) \) \(\Q(\sqrt{42}) \) \(0\) \(0\) \(0\) \(-2\) \(q-q^{7}-iq^{11}-q^{25}-iq^{29}+q^{49}+\cdots\)
2016.1.bi.a \(4\) \(1.006\) \(\Q(\zeta_{12})\) None None \(0\) \(-2\) \(0\) \(0\) \(q-\zeta_{12}^{2}q^{3}-\zeta_{12}^{3}q^{5}+\zeta_{12}q^{7}+\zeta_{12}^{4}q^{9}+\cdots\)
2016.1.bv.a \(2\) \(1.006\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-14}) \) None \(0\) \(-2\) \(1\) \(1\) \(q-q^{3}-\zeta_{6}^{2}q^{5}+\zeta_{6}q^{7}+q^{9}+\zeta_{6}^{2}q^{13}+\cdots\)
2016.1.bv.b \(2\) \(1.006\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-14}) \) None \(0\) \(2\) \(-1\) \(1\) \(q+q^{3}+\zeta_{6}^{2}q^{5}+\zeta_{6}q^{7}+q^{9}-\zeta_{6}^{2}q^{13}+\cdots\)
2016.1.bv.c \(4\) \(1.006\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-14}) \) None \(0\) \(0\) \(0\) \(-2\) \(q-\zeta_{12}^{3}q^{3}+(-\zeta_{12}-\zeta_{12}^{3})q^{5}+\zeta_{12}^{4}q^{7}+\cdots\)
2016.1.bw.a \(4\) \(1.006\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}q^{3}-\zeta_{12}q^{7}+\zeta_{12}^{2}q^{9}+\zeta_{12}^{4}q^{13}+\cdots\)
2016.1.cd.a \(4\) \(1.006\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(2\) \(0\) \(q+\zeta_{12}^{2}q^{5}-\zeta_{12}^{3}q^{7}-\zeta_{12}q^{11}+\cdots\)
2016.1.ce.a \(4\) \(1.006\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-6}) \) None \(0\) \(0\) \(0\) \(2\) \(q+(\zeta_{12}^{3}+\zeta_{12}^{5})q^{5}+\zeta_{12}^{2}q^{7}+\zeta_{12}^{5}q^{11}+\cdots\)
2016.1.cm.a \(4\) \(1.006\) \(\Q(\zeta_{12})\) None None \(0\) \(4\) \(0\) \(0\) \(q+q^{3}+\zeta_{12}^{5}q^{5}-\zeta_{12}^{3}q^{7}+q^{9}+\cdots\)
2016.1.dd.a \(4\) \(1.006\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}^{3}q^{3}-\zeta_{12}^{3}q^{7}-q^{9}-\zeta_{12}^{2}q^{13}+\cdots\)
2016.1.dn.a \(4\) \(1.006\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-7}) \) None \(-4\) \(0\) \(0\) \(0\) \(q-q^{2}+q^{4}+\zeta_{8}^{3}q^{7}-q^{8}+(-\zeta_{8}^{2}+\cdots)q^{11}+\cdots\)
2016.1.dn.b \(4\) \(1.006\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{8}^{2}q^{2}-q^{4}-\zeta_{8}^{3}q^{7}-\zeta_{8}^{2}q^{8}+\cdots\)
2016.1.dn.c \(4\) \(1.006\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}^{2}q^{2}-q^{4}-\zeta_{8}^{3}q^{7}+\zeta_{8}^{2}q^{8}+\cdots\)
2016.1.dn.d \(4\) \(1.006\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-7}) \) None \(4\) \(0\) \(0\) \(0\) \(q+q^{2}+q^{4}+\zeta_{8}^{3}q^{7}+q^{8}+(\zeta_{8}^{2}-\zeta_{8}^{3}+\cdots)q^{11}+\cdots\)
2016.1.dp.a \(4\) \(1.006\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}q^{2}+\zeta_{8}^{2}q^{4}-\zeta_{8}^{3}q^{7}-\zeta_{8}^{3}q^{8}+\cdots\)
2016.1.dp.b \(4\) \(1.006\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}+\zeta_{8}^{3}q^{7}+\zeta_{8}q^{8}+\cdots\)
2016.1.dp.c \(4\) \(1.006\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{8}q^{2}+\zeta_{8}^{2}q^{4}-\zeta_{8}^{3}q^{7}+\zeta_{8}^{3}q^{8}+\cdots\)
2016.2.a.a \(1\) \(16.098\) \(\Q\) None None \(0\) \(0\) \(-2\) \(-1\) \(-\) \(q-2q^{5}-q^{7}+2q^{13}-2q^{17}+4q^{19}+\cdots\)
2016.2.a.b \(1\) \(16.098\) \(\Q\) None None \(0\) \(0\) \(-2\) \(1\) \(+\) \(q-2q^{5}+q^{7}+2q^{13}-2q^{17}-4q^{19}+\cdots\)
2016.2.a.c \(1\) \(16.098\) \(\Q\) None None \(0\) \(0\) \(0\) \(-1\) \(+\) \(q-q^{7}-4q^{11}+2q^{13}+4q^{17}-4q^{23}+\cdots\)
2016.2.a.d \(1\) \(16.098\) \(\Q\) None None \(0\) \(0\) \(0\) \(-1\) \(+\) \(q-q^{7}+2q^{11}-2q^{13}-4q^{17}-4q^{19}+\cdots\)
2016.2.a.e \(1\) \(16.098\) \(\Q\) None None \(0\) \(0\) \(0\) \(-1\) \(+\) \(q-q^{7}+4q^{11}-4q^{13}+2q^{17}-6q^{19}+\cdots\)
2016.2.a.f \(1\) \(16.098\) \(\Q\) None None \(0\) \(0\) \(0\) \(-1\) \(-\) \(q-q^{7}+4q^{11}+2q^{13}-4q^{17}+4q^{23}+\cdots\)
2016.2.a.g \(1\) \(16.098\) \(\Q\) None None \(0\) \(0\) \(0\) \(1\) \(-\) \(q+q^{7}-4q^{11}-4q^{13}+2q^{17}+6q^{19}+\cdots\)
2016.2.a.h \(1\) \(16.098\) \(\Q\) None None \(0\) \(0\) \(0\) \(1\) \(+\) \(q+q^{7}-4q^{11}+2q^{13}-4q^{17}-4q^{23}+\cdots\)
2016.2.a.i \(1\) \(16.098\) \(\Q\) None None \(0\) \(0\) \(0\) \(1\) \(+\) \(q+q^{7}-2q^{11}-2q^{13}-4q^{17}+4q^{19}+\cdots\)
2016.2.a.j \(1\) \(16.098\) \(\Q\) None None \(0\) \(0\) \(0\) \(1\) \(-\) \(q+q^{7}+4q^{11}+2q^{13}+4q^{17}+4q^{23}+\cdots\)
2016.2.a.k \(1\) \(16.098\) \(\Q\) None None \(0\) \(0\) \(2\) \(-1\) \(-\) \(q+2q^{5}-q^{7}+4q^{11}-6q^{13}+2q^{17}+\cdots\)
2016.2.a.l \(1\) \(16.098\) \(\Q\) None None \(0\) \(0\) \(2\) \(1\) \(+\) \(q+2q^{5}+q^{7}-4q^{11}-6q^{13}+2q^{17}+\cdots\)
2016.2.a.m \(1\) \(16.098\) \(\Q\) None None \(0\) \(0\) \(4\) \(-1\) \(-\) \(q+4q^{5}-q^{7}-2q^{11}-2q^{13}+4q^{19}+\cdots\)
2016.2.a.n \(1\) \(16.098\) \(\Q\) None None \(0\) \(0\) \(4\) \(1\) \(-\) \(q+4q^{5}+q^{7}+2q^{11}-2q^{13}-4q^{19}+\cdots\)
2016.2.a.o \(2\) \(16.098\) \(\Q(\sqrt{5}) \) None None \(0\) \(0\) \(-2\) \(-2\) \(-\) \(q+(-1-\beta )q^{5}-q^{7}+(-2-2\beta )q^{11}+\cdots\)
2016.2.a.p \(2\) \(16.098\) \(\Q(\sqrt{5}) \) None None \(0\) \(0\) \(-2\) \(-2\) \(+\) \(q+(-1-\beta )q^{5}-q^{7}+(1+\beta )q^{11}+2\beta q^{13}+\cdots\)
2016.2.a.q \(2\) \(16.098\) \(\Q(\sqrt{5}) \) None None \(0\) \(0\) \(-2\) \(2\) \(+\) \(q+(-1-\beta )q^{5}+q^{7}+(-1-\beta )q^{11}+\cdots\)
2016.2.a.r \(2\) \(16.098\) \(\Q(\sqrt{5}) \) None None \(0\) \(0\) \(-2\) \(2\) \(-\) \(q+(-1-\beta )q^{5}+q^{7}+(2+2\beta )q^{11}+\cdots\)
2016.2.a.s \(2\) \(16.098\) \(\Q(\sqrt{3}) \) None None \(0\) \(0\) \(0\) \(-2\) \(+\) \(q+\beta q^{5}-q^{7}+(-2-\beta )q^{11}+2q^{13}+\cdots\)
2016.2.a.t \(2\) \(16.098\) \(\Q(\sqrt{3}) \) None None \(0\) \(0\) \(0\) \(2\) \(-\) \(q+\beta q^{5}+q^{7}+(2+\beta )q^{11}+2q^{13}+\cdots\)
2016.2.a.u \(2\) \(16.098\) \(\Q(\sqrt{5}) \) None None \(0\) \(0\) \(2\) \(-2\) \(-\) \(q+(1+\beta )q^{5}-q^{7}+(-1-\beta )q^{11}+2\beta q^{13}+\cdots\)
2016.2.a.v \(2\) \(16.098\) \(\Q(\sqrt{5}) \) None None \(0\) \(0\) \(2\) \(2\) \(-\) \(q+(1+\beta )q^{5}+q^{7}+(1+\beta )q^{11}+2\beta q^{13}+\cdots\)
2016.2.b.a \(8\) \(16.098\) 8.0.836829184.2 None None \(0\) \(0\) \(0\) \(-4\) \(q-\beta _{1}q^{5}+\beta _{4}q^{7}+(\beta _{2}+\beta _{4}+\beta _{7})q^{11}+\cdots\)
2016.2.b.b \(8\) \(16.098\) \(\Q(\zeta_{16})\) None None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{16}^{5}q^{5}+\zeta_{16}^{6}q^{7}-\zeta_{16}q^{11}+\cdots\)
2016.2.b.c \(8\) \(16.098\) 8.0.836829184.2 None None \(0\) \(0\) \(0\) \(4\) \(q-\beta _{1}q^{5}-\beta _{4}q^{7}+(-\beta _{2}-\beta _{4}-\beta _{7})q^{11}+\cdots\)
2016.2.b.d \(16\) \(16.098\) 16.0.\(\cdots\).7 None None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{2}q^{5}-\beta _{8}q^{7}+(\beta _{7}+\beta _{11})q^{11}+\cdots\)
2016.2.c.a \(2\) \(16.098\) \(\Q(\sqrt{-2}) \) None None \(0\) \(0\) \(0\) \(-2\) \(q+\beta q^{5}-q^{7}+2\beta q^{11}-3\beta q^{13}+6q^{17}+\cdots\)
2016.2.c.b \(4\) \(16.098\) \(\Q(\sqrt{-2}, \sqrt{-3})\) None None \(0\) \(0\) \(0\) \(-4\) \(q-\beta _{1}q^{5}-q^{7}+\beta _{1}q^{11}+\beta _{2}q^{17}+\cdots\)
2016.2.c.c \(4\) \(16.098\) 4.0.2312.1 None None \(0\) \(0\) \(0\) \(4\) \(q+\beta _{2}q^{5}+q^{7}+(-\beta _{1}+\beta _{2})q^{11}+\beta _{2}q^{13}+\cdots\)
2016.2.c.d \(4\) \(16.098\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(0\) \(4\) \(q-\zeta_{12}^{3}q^{5}+q^{7}+(-\zeta_{12}^{2}+\zeta_{12}^{3})q^{11}+\cdots\)
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