## Results (displaying matches 1-50 of 19306) Next

Label Dim. $$A$$ Field Image CM RM Traces $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
23.1.b.a $$1$$ $$0.011$$ $$\Q$$ $$D_{3}$$ $$\Q(\sqrt{-23})$$ None $$-1$$ $$-1$$ $$0$$ $$0$$ $$q-q^{2}-q^{3}+q^{6}+q^{8}-q^{13}-q^{16}+\cdots$$
31.1.b.a $$1$$ $$0.015$$ $$\Q$$ $$D_{3}$$ $$\Q(\sqrt{-31})$$ None $$-1$$ $$0$$ $$-1$$ $$-1$$ $$q-q^{2}-q^{5}-q^{7}+q^{8}+q^{9}+q^{10}+\cdots$$
39.1.d.a $$1$$ $$0.019$$ $$\Q$$ $$D_{2}$$ $$\Q(\sqrt{-3})$$, $$\Q(\sqrt{-39})$$ $$\Q(\sqrt{13})$$ $$0$$ $$-1$$ $$0$$ $$0$$ $$q-q^{3}-q^{4}+q^{9}+q^{12}-q^{13}+q^{16}+\cdots$$
44.1.d.a $$1$$ $$0.022$$ $$\Q$$ $$D_{3}$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$-1$$ $$-1$$ $$0$$ $$q-q^{3}-q^{5}+q^{11}+q^{15}-q^{23}+q^{27}+\cdots$$
47.1.b.a $$2$$ $$0.023$$ $$\Q(\sqrt{5})$$ $$D_{5}$$ $$\Q(\sqrt{-47})$$ None $$-1$$ $$-1$$ $$0$$ $$-1$$ $$q+(-1+\beta )q^{2}-\beta q^{3}+(1-\beta )q^{4}-q^{6}+\cdots$$
52.1.j.a $$2$$ $$0.026$$ $$\Q(\sqrt{-3})$$ $$D_{3}$$ $$\Q(\sqrt{-1})$$ None $$-1$$ $$0$$ $$-2$$ $$0$$ $$q-\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}-q^{5}+q^{8}+\zeta_{6}^{2}q^{9}+\cdots$$
55.1.d.a $$1$$ $$0.027$$ $$\Q$$ $$D_{2}$$ $$\Q(\sqrt{-11})$$, $$\Q(\sqrt{-55})$$ $$\Q(\sqrt{5})$$ $$0$$ $$0$$ $$-1$$ $$0$$ $$q-q^{4}-q^{5}+q^{9}-q^{11}+q^{16}+q^{20}+\cdots$$
56.1.h.a $$1$$ $$0.028$$ $$\Q$$ $$D_{2}$$ $$\Q(\sqrt{-7})$$, $$\Q(\sqrt{-14})$$ $$\Q(\sqrt{2})$$ $$-1$$ $$0$$ $$0$$ $$-1$$ $$q-q^{2}+q^{4}-q^{7}-q^{8}-q^{9}+q^{14}+\cdots$$
57.1.h.a $$2$$ $$0.028$$ $$\Q(\sqrt{-3})$$ $$D_{3}$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$0$$ $$-2$$ $$q+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}-q^{7}-\zeta_{6}q^{9}+q^{12}+\cdots$$
59.1.b.a $$1$$ $$0.029$$ $$\Q$$ $$D_{3}$$ $$\Q(\sqrt{-59})$$ None $$0$$ $$-1$$ $$-1$$ $$-1$$ $$q-q^{3}+q^{4}-q^{5}-q^{7}-q^{12}+q^{15}+\cdots$$
63.1.d.a $$1$$ $$0.031$$ $$\Q$$ $$D_{2}$$ $$\Q(\sqrt{-3})$$, $$\Q(\sqrt{-7})$$ $$\Q(\sqrt{21})$$ $$0$$ $$0$$ $$0$$ $$-1$$ $$q-q^{4}-q^{7}+q^{16}+q^{25}+q^{28}-2q^{37}+\cdots$$
68.1.d.a $$1$$ $$0.034$$ $$\Q$$ $$D_{2}$$ $$\Q(\sqrt{-1})$$, $$\Q(\sqrt{-17})$$ $$\Q(\sqrt{17})$$ $$-1$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}+q^{4}-q^{8}-q^{9}-2q^{13}+q^{16}+\cdots$$
68.1.f.a $$2$$ $$0.034$$ $$\Q(\sqrt{-1})$$ $$D_{4}$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+iq^{2}-q^{4}+(-1-i)q^{5}-iq^{8}+\cdots$$
71.1.b.a $$3$$ $$0.035$$ $$\Q(\zeta_{14})^+$$ $$D_{7}$$ $$\Q(\sqrt{-71})$$ None $$-1$$ $$-1$$ $$-1$$ $$0$$ $$q-\beta _{1}q^{2}+(-1+\beta _{1}-\beta _{2})q^{3}+(1+\beta _{2})q^{4}+\cdots$$
72.1.p.a $$2$$ $$0.036$$ $$\Q(\sqrt{-3})$$ $$D_{3}$$ $$\Q(\sqrt{-2})$$ None $$-1$$ $$-1$$ $$0$$ $$0$$ $$q+\zeta_{6}^{2}q^{2}+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}-\zeta_{6}q^{6}+\cdots$$
76.1.c.a $$1$$ $$0.038$$ $$\Q$$ $$D_{3}$$ $$\Q(\sqrt{-19})$$ None $$0$$ $$0$$ $$-1$$ $$-1$$ $$q-q^{5}-q^{7}+q^{9}-q^{11}-q^{17}+q^{19}+\cdots$$
77.1.j.a $$4$$ $$0.038$$ $$\Q(\zeta_{10})$$ $$D_{5}$$ $$\Q(\sqrt{-7})$$ None $$-2$$ $$0$$ $$0$$ $$-1$$ $$q+(\zeta_{10}^{2}+\zeta_{10}^{4})q^{2}+(-\zeta_{10}-\zeta_{10}^{3}+\cdots)q^{4}+\cdots$$
79.1.b.a $$2$$ $$0.039$$ $$\Q(\sqrt{5})$$ $$D_{5}$$ $$\Q(\sqrt{-79})$$ None $$-1$$ $$0$$ $$-1$$ $$0$$ $$q+(-1+\beta )q^{2}+(1-\beta )q^{4}-\beta q^{5}-q^{8}+\cdots$$
80.1.h.a $$1$$ $$0.040$$ $$\Q$$ $$D_{2}$$ $$\Q(\sqrt{-1})$$, $$\Q(\sqrt{-5})$$ $$\Q(\sqrt{5})$$ $$0$$ $$0$$ $$-1$$ $$0$$ $$q-q^{5}-q^{9}+q^{25}+2q^{29}-2q^{41}+\cdots$$
83.1.b.a $$1$$ $$0.041$$ $$\Q$$ $$D_{3}$$ $$\Q(\sqrt{-83})$$ None $$0$$ $$-1$$ $$0$$ $$-1$$ $$q-q^{3}+q^{4}-q^{7}-q^{11}-q^{12}+q^{16}+\cdots$$
84.1.p.a $$2$$ $$0.042$$ $$\Q(\sqrt{-3})$$ $$D_{3}$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$0$$ $$-1$$ $$q+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{7}-\zeta_{6}q^{9}-q^{13}+\cdots$$
87.1.d.a $$1$$ $$0.043$$ $$\Q$$ $$D_{3}$$ $$\Q(\sqrt{-87})$$ None $$-1$$ $$1$$ $$0$$ $$-1$$ $$q-q^{2}+q^{3}-q^{6}-q^{7}+q^{8}+q^{9}+\cdots$$
87.1.d.b $$1$$ $$0.043$$ $$\Q$$ $$D_{3}$$ $$\Q(\sqrt{-87})$$ None $$1$$ $$-1$$ $$0$$ $$-1$$ $$q+q^{2}-q^{3}-q^{6}-q^{7}-q^{8}+q^{9}+\cdots$$
88.1.l.a $$4$$ $$0.044$$ $$\Q(\zeta_{10})$$ $$D_{5}$$ $$\Q(\sqrt{-2})$$ None $$-1$$ $$-2$$ $$0$$ $$0$$ $$q-\zeta_{10}q^{2}+(\zeta_{10}^{2}+\zeta_{10}^{4})q^{3}+\zeta_{10}^{2}q^{4}+\cdots$$
93.1.l.a $$4$$ $$0.046$$ $$\Q(\zeta_{10})$$ $$D_{5}$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$0$$ $$-2$$ $$q-\zeta_{10}q^{3}-\zeta_{10}^{3}q^{4}+(\zeta_{10}^{2}+\zeta_{10}^{4}+\cdots)q^{7}+\cdots$$
95.1.d.a $$1$$ $$0.047$$ $$\Q$$ $$D_{2}$$ $$\Q(\sqrt{-19})$$, $$\Q(\sqrt{-95})$$ $$\Q(\sqrt{5})$$ $$0$$ $$0$$ $$1$$ $$0$$ $$q-q^{4}+q^{5}-q^{9}-2q^{11}+q^{16}+q^{19}+\cdots$$
95.1.d.b $$2$$ $$0.047$$ $$\Q(\sqrt{2})$$ $$D_{4}$$ $$\Q(\sqrt{-95})$$ None $$0$$ $$0$$ $$-2$$ $$0$$ $$q-\beta q^{2}+\beta q^{3}+q^{4}-q^{5}-2q^{6}+q^{9}+\cdots$$
99.1.h.a $$2$$ $$0.049$$ $$\Q(\sqrt{-3})$$ $$D_{3}$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$-1$$ $$1$$ $$0$$ $$q+\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}-\zeta_{6}^{2}q^{5}-\zeta_{6}q^{9}+\cdots$$
100.1.j.a $$4$$ $$0.050$$ $$\Q(\zeta_{10})$$ $$D_{5}$$ $$\Q(\sqrt{-1})$$ None $$-1$$ $$0$$ $$-1$$ $$0$$ $$q-\zeta_{10}^{3}q^{2}-\zeta_{10}q^{4}+\zeta_{10}^{4}q^{5}+\zeta_{10}^{4}q^{8}+\cdots$$
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 $$0$$ $$-1$$ $$0$$ $$-2$$ $$q-\zeta_{14}^{5}q^{3}+\zeta_{14}^{4}q^{4}+(-\zeta_{14}+\zeta_{14}^{6}+\cdots)q^{7}+\cdots$$
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