## Results (displaying matches 1-50 of 63) Next

Label Dim. $$A$$ Field CM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
354.2.a.a $$1$$ $$2.827$$ $$\Q$$ None $$-1$$ $$-1$$ $$0$$ $$-1$$ $$+$$ $$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{7}-q^{8}+\cdots$$
354.2.a.b $$1$$ $$2.827$$ $$\Q$$ None $$-1$$ $$-1$$ $$2$$ $$0$$ $$-$$ $$q-q^{2}-q^{3}+q^{4}+2q^{5}+q^{6}-q^{8}+\cdots$$
354.2.a.c $$1$$ $$2.827$$ $$\Q$$ None $$-1$$ $$1$$ $$0$$ $$-1$$ $$-$$ $$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{7}-q^{8}+\cdots$$
354.2.a.d $$1$$ $$2.827$$ $$\Q$$ None $$1$$ $$-1$$ $$-4$$ $$-1$$ $$+$$ $$q+q^{2}-q^{3}+q^{4}-4q^{5}-q^{6}-q^{7}+\cdots$$
354.2.a.e $$1$$ $$2.827$$ $$\Q$$ None $$1$$ $$-1$$ $$0$$ $$0$$ $$-$$ $$q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots$$
354.2.a.f $$1$$ $$2.827$$ $$\Q$$ None $$1$$ $$-1$$ $$4$$ $$0$$ $$-$$ $$q+q^{2}-q^{3}+q^{4}+4q^{5}-q^{6}+q^{8}+\cdots$$
354.2.a.g $$2$$ $$2.827$$ $$\Q(\sqrt{11})$$ None $$-2$$ $$2$$ $$2$$ $$8$$ $$-$$ $$q-q^{2}+q^{3}+q^{4}+(1+\beta )q^{5}-q^{6}+\cdots$$
354.2.a.h $$3$$ $$2.827$$ 3.3.316.1 None $$3$$ $$3$$ $$2$$ $$-1$$ $$-$$ $$q+q^{2}+q^{3}+q^{4}+(1-\beta _{1}+\beta _{2})q^{5}+\cdots$$
354.2.c.a $$10$$ $$2.827$$ 10.0.$$\cdots$$.1 None $$-10$$ $$-1$$ $$0$$ $$-2$$ $$q-q^{2}-\beta _{6}q^{3}+q^{4}-\beta _{3}q^{5}+\beta _{6}q^{6}+\cdots$$
354.2.c.b $$10$$ $$2.827$$ 10.0.$$\cdots$$.1 None $$10$$ $$-1$$ $$0$$ $$-2$$ $$q+q^{2}-\beta _{6}q^{3}+q^{4}-\beta _{3}q^{5}-\beta _{6}q^{6}+\cdots$$
354.2.e.a $$56$$ $$2.827$$ None $$-2$$ $$-2$$ $$4$$ $$9$$
354.2.e.b $$56$$ $$2.827$$ None $$2$$ $$2$$ $$-2$$ $$1$$
354.2.e.c $$84$$ $$2.827$$ None $$-3$$ $$3$$ $$0$$ $$1$$
354.2.e.d $$84$$ $$2.827$$ None $$3$$ $$-3$$ $$-2$$ $$-7$$
354.2.g.a $$280$$ $$2.827$$ None $$-10$$ $$1$$ $$0$$ $$2$$
354.2.g.b $$280$$ $$2.827$$ None $$10$$ $$1$$ $$0$$ $$2$$
354.3.b.a $$40$$ $$9.646$$ None $$0$$ $$0$$ $$0$$ $$8$$
354.3.d.a $$20$$ $$9.646$$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None $$0$$ $$0$$ $$0$$ $$8$$ $$q+\beta _{4}q^{2}-\beta _{7}q^{3}-2q^{4}+\beta _{5}q^{5}+\beta _{6}q^{6}+\cdots$$
354.3.f.a $$560$$ $$9.646$$ None $$0$$ $$0$$ $$0$$ $$-8$$
354.3.h.a $$1120$$ $$9.646$$ None $$0$$ $$0$$ $$0$$ $$-8$$
354.4.a.a $$2$$ $$20.887$$ $$\Q(\sqrt{21})$$ None $$-4$$ $$6$$ $$-12$$ $$-23$$ $$-$$ $$q-2q^{2}+3q^{3}+4q^{4}+(-5-2\beta )q^{5}+\cdots$$
354.4.a.b $$2$$ $$20.887$$ $$\Q(\sqrt{51})$$ None $$-4$$ $$6$$ $$26$$ $$0$$ $$+$$ $$q-2q^{2}+3q^{3}+4q^{4}+(13+\beta )q^{5}+\cdots$$
354.4.a.c $$2$$ $$20.887$$ $$\Q(\sqrt{13})$$ None $$4$$ $$6$$ $$-20$$ $$-23$$ $$-$$ $$q+2q^{2}+3q^{3}+4q^{4}+(-9-2\beta )q^{5}+\cdots$$
354.4.a.d $$3$$ $$20.887$$ 3.3.30645.1 None $$-6$$ $$-9$$ $$-6$$ $$6$$ $$-$$ $$q-2q^{2}-3q^{3}+4q^{4}+(-2-\beta _{1}-2\beta _{2})q^{5}+\cdots$$
354.4.a.e $$3$$ $$20.887$$ 3.3.45581.1 None $$-6$$ $$-9$$ $$4$$ $$13$$ $$+$$ $$q-2q^{2}-3q^{3}+4q^{4}+(2-\beta _{1}+\beta _{2})q^{5}+\cdots$$
354.4.a.f $$3$$ $$20.887$$ 3.3.18989.1 None $$-6$$ $$9$$ $$-28$$ $$26$$ $$+$$ $$q-2q^{2}+3q^{3}+4q^{4}+(-9+\beta _{1}+\beta _{2})q^{5}+\cdots$$
354.4.a.g $$3$$ $$20.887$$ 3.3.47277.1 None $$6$$ $$-9$$ $$-18$$ $$6$$ $$-$$ $$q+2q^{2}-3q^{3}+4q^{4}+(-6+\beta _{1}+\beta _{2})q^{5}+\cdots$$
354.4.a.h $$4$$ $$20.887$$ $$\mathbb{Q}[x]/(x^{4} - \cdots)$$ None $$8$$ $$-12$$ $$22$$ $$13$$ $$+$$ $$q+2q^{2}-3q^{3}+4q^{4}+(5+\beta _{1}-\beta _{3})q^{5}+\cdots$$
354.4.a.i $$6$$ $$20.887$$ $$\mathbb{Q}[x]/(x^{6} - \cdots)$$ None $$12$$ $$18$$ $$20$$ $$26$$ $$+$$ $$q+2q^{2}+3q^{3}+4q^{4}+(3+\beta _{1})q^{5}+\cdots$$
354.4.c.a $$30$$ $$20.887$$ None $$-60$$ $$5$$ $$0$$ $$6$$
354.4.c.b $$30$$ $$20.887$$ None $$60$$ $$5$$ $$0$$ $$6$$
354.5.b.a $$76$$ $$36.593$$ None $$0$$ $$0$$ $$0$$ $$-184$$
354.5.d.a $$40$$ $$36.593$$ None $$0$$ $$0$$ $$0$$ $$-80$$
354.6.a.a $$1$$ $$56.776$$ $$\Q$$ None $$4$$ $$-9$$ $$10$$ $$144$$ $$-$$ $$q+4q^{2}-9q^{3}+2^{4}q^{4}+10q^{5}-6^{2}q^{6}+\cdots$$
354.6.a.b $$4$$ $$56.776$$ 4.4.32832.1 None $$16$$ $$36$$ $$-104$$ $$-162$$ $$+$$ $$q+4q^{2}+9q^{3}+2^{4}q^{4}+(-5^{2}+2\beta _{1}+\cdots)q^{5}+\cdots$$
354.6.a.c $$5$$ $$56.776$$ $$\mathbb{Q}[x]/(x^{5} - \cdots)$$ None $$-20$$ $$45$$ $$-10$$ $$-162$$ $$+$$ $$q-4q^{2}+9q^{3}+2^{4}q^{4}+(-2+\beta _{1}+\cdots)q^{5}+\cdots$$
354.6.a.d $$5$$ $$56.776$$ $$\mathbb{Q}[x]/(x^{5} - \cdots)$$ None $$20$$ $$-45$$ $$-24$$ $$-103$$ $$+$$ $$q+4q^{2}-9q^{3}+2^{4}q^{4}+(-5+\beta _{3}+\cdots)q^{5}+\cdots$$
354.6.a.e $$5$$ $$56.776$$ $$\mathbb{Q}[x]/(x^{5} - \cdots)$$ None $$20$$ $$-45$$ $$166$$ $$-198$$ $$-$$ $$q+4q^{2}-9q^{3}+2^{4}q^{4}+(33-\beta _{2})q^{5}+\cdots$$
354.6.a.f $$6$$ $$56.776$$ $$\mathbb{Q}[x]/(x^{6} - \cdots)$$ None $$-24$$ $$-54$$ $$-46$$ $$-103$$ $$+$$ $$q-4q^{2}-9q^{3}+2^{4}q^{4}+(-8+\beta _{5})q^{5}+\cdots$$
354.6.a.g $$6$$ $$56.776$$ $$\mathbb{Q}[x]/(x^{6} - \cdots)$$ None $$-24$$ $$-54$$ $$4$$ $$-54$$ $$-$$ $$q-4q^{2}-9q^{3}+2^{4}q^{4}+(1-\beta _{5})q^{5}+\cdots$$
354.6.a.h $$8$$ $$56.776$$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None $$-32$$ $$72$$ $$40$$ $$181$$ $$-$$ $$q-4q^{2}+9q^{3}+2^{4}q^{4}+(5+\beta _{1})q^{5}+\cdots$$
354.6.a.i $$8$$ $$56.776$$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None $$32$$ $$72$$ $$96$$ $$181$$ $$-$$ $$q+4q^{2}+9q^{3}+2^{4}q^{4}+(12-\beta _{1})q^{5}+\cdots$$
354.6.c.a $$50$$ $$56.776$$ None $$-200$$ $$-13$$ $$0$$ $$38$$
354.6.c.b $$50$$ $$56.776$$ None $$200$$ $$-13$$ $$0$$ $$38$$
354.7.d.a $$60$$ $$81.439$$ None $$0$$ $$0$$ $$0$$ $$408$$
354.8.a.a $$1$$ $$110.584$$ $$\Q$$ None $$8$$ $$27$$ $$-320$$ $$-505$$ $$-$$ $$q+8q^{2}+3^{3}q^{3}+2^{6}q^{4}-320q^{5}+\cdots$$
354.8.a.b $$5$$ $$110.584$$ $$\mathbb{Q}[x]/(x^{5} - \cdots)$$ None $$40$$ $$135$$ $$164$$ $$-76$$ $$-$$ $$q+8q^{2}+3^{3}q^{3}+2^{6}q^{4}+(33+\beta _{1}+\cdots)q^{5}+\cdots$$
354.8.a.c $$7$$ $$110.584$$ $$\mathbb{Q}[x]/(x^{7} - \cdots)$$ None $$-56$$ $$189$$ $$-158$$ $$-581$$ $$-$$ $$q-8q^{2}+3^{3}q^{3}+2^{6}q^{4}+(-23-\beta _{2}+\cdots)q^{5}+\cdots$$
354.8.a.d $$8$$ $$110.584$$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None $$64$$ $$-216$$ $$-592$$ $$-340$$ $$-$$ $$q+8q^{2}-3^{3}q^{3}+2^{6}q^{4}+(-74+\beta _{3}+\cdots)q^{5}+\cdots$$
354.8.a.e $$9$$ $$110.584$$ $$\mathbb{Q}[x]/(x^{9} - \cdots)$$ None $$-72$$ $$-243$$ $$-230$$ $$-340$$ $$-$$ $$q-8q^{2}-3^{3}q^{3}+2^{6}q^{4}+(-26+\beta _{3}+\cdots)q^{5}+\cdots$$
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