## Results (1-50 of at least 1000)

Label Dim. $$A$$ Field Image CM RM Traces $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
103.1.b.a $$2$$ $$0.051$$ $$\Q(\sqrt{5})$$ $$D_{5}$$ $$\Q(\sqrt{-103})$$ None $$-1$$ $$0$$ $$0$$ $$-1$$ $$q+(-1+\beta )q^{2}+(1-\beta )q^{4}-\beta q^{7}-q^{8}+\cdots$$
104.1.h.a $$1$$ $$0.052$$ $$\Q$$ $$D_{3}$$ $$\Q(\sqrt{-26})$$ None $$-1$$ $$-1$$ $$1$$ $$1$$ $$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots$$
104.1.h.b $$1$$ $$0.052$$ $$\Q$$ $$D_{3}$$ $$\Q(\sqrt{-26})$$ None $$1$$ $$-1$$ $$-1$$ $$-1$$ $$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots$$
107.1.b.a $$1$$ $$0.053$$ $$\Q$$ $$D_{3}$$ $$\Q(\sqrt{-107})$$ None $$0$$ $$-1$$ $$0$$ $$0$$ $$q-q^{3}+q^{4}-q^{11}-q^{12}-q^{13}+q^{16}+\cdots$$
108.1.c.a $$1$$ $$0.054$$ $$\Q$$ $$D_{3}$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-1$$ $$q-q^{7}-q^{13}-q^{19}+q^{25}+2q^{31}+\cdots$$
111.1.d.a $$1$$ $$0.055$$ $$\Q$$ $$D_{2}$$ $$\Q(\sqrt{-3})$$, $$\Q(\sqrt{-111})$$ $$\Q(\sqrt{37})$$ $$0$$ $$1$$ $$0$$ $$-2$$ $$q+q^{3}-q^{4}-2q^{7}+q^{9}-q^{12}+q^{16}+\cdots$$
111.1.d.b $$2$$ $$0.055$$ $$\Q(\sqrt{2})$$ $$D_{4}$$ $$\Q(\sqrt{-111})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $$q-\beta q^{2}-q^{3}+q^{4}+\beta q^{5}+\beta q^{6}+q^{9}+\cdots$$
111.1.h.a $$2$$ $$0.055$$ $$\Q(\sqrt{-3})$$ $$D_{6}$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$0$$ $$-1$$ $$q-\zeta_{6}q^{3}+\zeta_{6}q^{4}-\zeta_{6}q^{7}+\zeta_{6}^{2}q^{9}+\cdots$$
111.1.i.a $$2$$ $$0.055$$ $$\Q(\sqrt{-3})$$ $$D_{3}$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$0$$ $$1$$ $$q-\zeta_{6}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{7}+\zeta_{6}^{2}q^{9}+\cdots$$
112.1.l.a $$2$$ $$0.056$$ $$\Q(\sqrt{-1})$$ $$D_{4}$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{2}-q^{4}+iq^{7}-iq^{8}-iq^{9}+\cdots$$
116.1.d.a $$1$$ $$0.058$$ $$\Q$$ $$D_{3}$$ $$\Q(\sqrt{-29})$$ None $$-1$$ $$1$$ $$-1$$ $$0$$ $$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{8}+\cdots$$
116.1.d.b $$1$$ $$0.058$$ $$\Q$$ $$D_{3}$$ $$\Q(\sqrt{-29})$$ None $$1$$ $$-1$$ $$-1$$ $$0$$ $$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\cdots$$
116.1.j.a $$6$$ $$0.058$$ $$\Q(\zeta_{14})$$ $$D_{7}$$ $$\Q(\sqrt{-1})$$ None $$-1$$ $$0$$ $$-2$$ $$0$$ $$q-\zeta_{14}q^{2}+\zeta_{14}^{2}q^{4}+(\zeta_{14}^{4}-\zeta_{14}^{5}+\cdots)q^{5}+\cdots$$
117.1.j.a $$2$$ $$0.058$$ $$\Q(\sqrt{-1})$$ $$D_{4}$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-2$$ $$q+iq^{4}+(-1-i)q^{7}-iq^{13}-q^{16}+\cdots$$
119.1.d.a $$2$$ $$0.059$$ $$\Q(\sqrt{5})$$ $$D_{5}$$ $$\Q(\sqrt{-119})$$ None $$-1$$ $$-1$$ $$-1$$ $$2$$ $$q+(-1+\beta )q^{2}+(-1+\beta )q^{3}+(1-\beta )q^{4}+\cdots$$
119.1.d.b $$2$$ $$0.059$$ $$\Q(\sqrt{5})$$ $$D_{5}$$ $$\Q(\sqrt{-119})$$ None $$-1$$ $$1$$ $$1$$ $$-2$$ $$q+(-1+\beta )q^{2}+(1-\beta )q^{3}+(1-\beta )q^{4}+\cdots$$
120.1.i.a $$2$$ $$0.060$$ $$\Q(\sqrt{-1})$$ $$D_{2}$$ $$\Q(\sqrt{-15})$$, $$\Q(\sqrt{-6})$$ $$\Q(\sqrt{10})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{2}-iq^{3}-q^{4}+iq^{5}-q^{6}+iq^{8}+\cdots$$
124.1.i.a $$4$$ $$0.062$$ $$\Q(\zeta_{12})$$ $$A_{4}$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q-\zeta_{12}^{3}q^{2}-\zeta_{12}q^{3}-q^{4}-\zeta_{12}^{2}q^{5}+\cdots$$
127.1.b.a $$2$$ $$0.063$$ $$\Q(\sqrt{5})$$ $$D_{5}$$ $$\Q(\sqrt{-127})$$ None $$-1$$ $$0$$ $$0$$ $$0$$ $$q+(-1+\beta )q^{2}+(1-\beta )q^{4}-q^{8}+q^{9}+\cdots$$
128.1.d.a $$1$$ $$0.064$$ $$\Q$$ $$D_{2}$$ $$\Q(\sqrt{-1})$$, $$\Q(\sqrt{-2})$$ $$\Q(\sqrt{2})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-q^{9}-2q^{17}+q^{25}+2q^{41}+q^{49}+\cdots$$
129.1.l.a $$6$$ $$0.064$$ $$\Q(\zeta_{14})$$ $$D_{7}$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$0$$ $$-2$$ $$q-\zeta_{14}^{5}q^{3}+\zeta_{14}^{4}q^{4}+(-\zeta_{14}+\zeta_{14}^{6}+\cdots)q^{7}+\cdots$$
131.1.b.a $$2$$ $$0.065$$ $$\Q(\sqrt{5})$$ $$D_{5}$$ $$\Q(\sqrt{-131})$$ None $$0$$ $$-1$$ $$-1$$ $$-1$$ $$q+(-1+\beta )q^{3}+q^{4}-\beta q^{5}-\beta q^{7}+\cdots$$
133.1.m.a $$4$$ $$0.066$$ $$\Q(\zeta_{12})$$ $$A_{4}$$ None None $$-2$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}^{2}q^{2}+\zeta_{12}^{5}q^{3}-\zeta_{12}^{5}q^{5}+\cdots$$
133.1.r.a $$2$$ $$0.066$$ $$\Q(\sqrt{-3})$$ $$D_{3}$$ $$\Q(\sqrt{-19})$$ None $$0$$ $$0$$ $$1$$ $$-1$$ $$q-\zeta_{6}q^{4}-\zeta_{6}^{2}q^{5}+\zeta_{6}^{2}q^{7}+\zeta_{6}^{2}q^{9}+\cdots$$
135.1.d.a $$1$$ $$0.067$$ $$\Q$$ $$D_{3}$$ $$\Q(\sqrt{-15})$$ None $$-1$$ $$0$$ $$1$$ $$0$$ $$q-q^{2}+q^{5}+q^{8}-q^{10}-q^{16}-q^{17}+\cdots$$
135.1.d.b $$1$$ $$0.067$$ $$\Q$$ $$D_{3}$$ $$\Q(\sqrt{-15})$$ None $$1$$ $$0$$ $$-1$$ $$0$$ $$q+q^{2}-q^{5}-q^{8}-q^{10}-q^{16}+q^{17}+\cdots$$
136.1.e.a $$1$$ $$0.068$$ $$\Q$$ $$D_{2}$$ $$\Q(\sqrt{-2})$$, $$\Q(\sqrt{-34})$$ $$\Q(\sqrt{17})$$ $$-1$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}+q^{4}-q^{8}+q^{9}+q^{16}-q^{17}+\cdots$$
136.1.j.a $$2$$ $$0.068$$ $$\Q(\sqrt{-1})$$ $$D_{4}$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $$q-iq^{2}+(-1-i)q^{3}-q^{4}+(-1+i+\cdots)q^{6}+\cdots$$
136.1.p.a $$4$$ $$0.068$$ $$\Q(\zeta_{8})$$ $$D_{8}$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}^{3}q^{2}+(\zeta_{8}^{2}-\zeta_{8}^{3})q^{3}-\zeta_{8}^{2}q^{4}+\cdots$$
139.1.b.a $$1$$ $$0.069$$ $$\Q$$ $$D_{3}$$ $$\Q(\sqrt{-139})$$ None $$0$$ $$0$$ $$-1$$ $$-1$$ $$q+q^{4}-q^{5}-q^{7}+q^{9}-q^{11}-q^{13}+\cdots$$
140.1.h.a $$1$$ $$0.070$$ $$\Q$$ $$D_{3}$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$-1$$ $$1$$ $$1$$ $$q-q^{3}+q^{5}+q^{7}-q^{11}-q^{13}-q^{15}+\cdots$$
140.1.h.b $$1$$ $$0.070$$ $$\Q$$ $$D_{3}$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$1$$ $$-1$$ $$-1$$ $$q+q^{3}-q^{5}-q^{7}-q^{11}+q^{13}-q^{15}+\cdots$$
140.1.p.a $$2$$ $$0.070$$ $$\Q(\sqrt{-3})$$ $$D_{3}$$ $$\Q(\sqrt{-5})$$ None $$-1$$ $$1$$ $$-1$$ $$-1$$ $$q-\zeta_{6}q^{2}-\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}-\zeta_{6}q^{5}+\cdots$$
140.1.p.b $$2$$ $$0.070$$ $$\Q(\sqrt{-3})$$ $$D_{3}$$ $$\Q(\sqrt{-5})$$ None $$1$$ $$-1$$ $$-1$$ $$1$$ $$q+\zeta_{6}q^{2}+\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}-\zeta_{6}q^{5}+\cdots$$
143.1.d.a $$2$$ $$0.071$$ $$\Q(\sqrt{5})$$ $$D_{5}$$ $$\Q(\sqrt{-143})$$ None $$-1$$ $$-1$$ $$0$$ $$-1$$ $$q+(-1+\beta )q^{2}+(-1+\beta )q^{3}+(1-\beta )q^{4}+\cdots$$
143.1.d.b $$2$$ $$0.071$$ $$\Q(\sqrt{5})$$ $$D_{5}$$ $$\Q(\sqrt{-143})$$ None $$1$$ $$-1$$ $$0$$ $$1$$ $$q+(1-\beta )q^{2}+(-1+\beta )q^{3}+(1-\beta )q^{4}+\cdots$$
144.1.g.a $$1$$ $$0.072$$ $$\Q$$ $$D_{2}$$ $$\Q(\sqrt{-3})$$, $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{3})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-2q^{13}-q^{25}+2q^{37}+q^{49}+2q^{61}+\cdots$$
145.1.f.a $$2$$ $$0.072$$ $$\Q(\sqrt{-1})$$ $$D_{4}$$ None $$\Q(\sqrt{5})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{4}-iq^{5}+iq^{9}+(-1-i)q^{11}+\cdots$$
145.1.h.a $$2$$ $$0.072$$ $$\Q(\sqrt{-1})$$ $$D_{4}$$ None $$\Q(\sqrt{29})$$ $$0$$ $$0$$ $$0$$ $$-2$$ $$q-iq^{4}-iq^{5}+(-1+i)q^{7}+iq^{9}+\cdots$$
147.1.l.a $$6$$ $$0.073$$ $$\Q(\zeta_{14})$$ $$D_{7}$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$0$$ $$-1$$ $$q+\zeta_{14}^{2}q^{3}+\zeta_{14}^{6}q^{4}-\zeta_{14}^{3}q^{7}+\cdots$$
148.1.f.a $$2$$ $$0.074$$ $$\Q(\sqrt{-1})$$ $$S_{4}$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $$q+iq^{3}-q^{7}-iq^{11}+(-1-i)q^{17}+\cdots$$
148.1.i.a $$2$$ $$0.074$$ $$\Q(\sqrt{-3})$$ $$D_{3}$$ $$\Q(\sqrt{-1})$$ None $$-1$$ $$0$$ $$1$$ $$0$$ $$q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+\zeta_{6}q^{5}+q^{8}+\zeta_{6}^{2}q^{9}+\cdots$$
148.1.p.a $$6$$ $$0.074$$ $$\Q(\zeta_{18})$$ $$D_{9}$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-3$$ $$0$$ $$q-\zeta_{18}q^{2}+\zeta_{18}^{2}q^{4}+(\zeta_{18}^{4}+\zeta_{18}^{6}+\cdots)q^{5}+\cdots$$
151.1.b.a $$3$$ $$0.075$$ $$\Q(\zeta_{14})^+$$ $$D_{7}$$ $$\Q(\sqrt{-151})$$ None $$-1$$ $$0$$ $$-1$$ $$0$$ $$q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1+\beta _{1}-\beta _{2})q^{5}+\cdots$$
152.1.g.a $$1$$ $$0.076$$ $$\Q$$ $$D_{3}$$ $$\Q(\sqrt{-38})$$ None $$-1$$ $$1$$ $$0$$ $$-1$$ $$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{7}-q^{8}+\cdots$$
152.1.g.b $$1$$ $$0.076$$ $$\Q$$ $$D_{3}$$ $$\Q(\sqrt{-38})$$ None $$1$$ $$-1$$ $$0$$ $$-1$$ $$q+q^{2}-q^{3}+q^{4}-q^{6}-q^{7}+q^{8}+\cdots$$
152.1.k.a $$2$$ $$0.076$$ $$\Q(\sqrt{-3})$$ $$D_{3}$$ $$\Q(\sqrt{-2})$$ None $$-1$$ $$1$$ $$0$$ $$0$$ $$q+\zeta_{6}^{2}q^{2}-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{6}+\cdots$$
152.1.u.a $$6$$ $$0.076$$ $$\Q(\zeta_{18})$$ $$D_{9}$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$-3$$ $$0$$ $$0$$ $$q-\zeta_{18}^{5}q^{2}+(\zeta_{18}^{6}-\zeta_{18}^{7})q^{3}-\zeta_{18}q^{4}+\cdots$$
155.1.c.a $$1$$ $$0.077$$ $$\Q$$ $$D_{2}$$ $$\Q(\sqrt{-31})$$, $$\Q(\sqrt{-155})$$ $$\Q(\sqrt{5})$$ $$0$$ $$0$$ $$-1$$ $$0$$ $$q+q^{4}-q^{5}-q^{9}+q^{16}-2q^{19}-q^{20}+\cdots$$
155.1.c.b $$2$$ $$0.077$$ $$\Q(\sqrt{-3})$$ $$D_{6}$$ $$\Q(\sqrt{-31})$$ None $$0$$ $$0$$ $$1$$ $$0$$ $$q+(\zeta_{6}+\zeta_{6}^{2})q^{2}+(-1-\zeta_{6}+\zeta_{6}^{2}+\cdots)q^{4}+\cdots$$