## Results (1-50 of 51 matches)

Label Dim. $$A$$ Field CM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
177.2.a.a $$2$$ $$1.413$$ $$\Q(\sqrt{5})$$ None $$-3$$ $$2$$ $$-6$$ $$-7$$ $$+$$ $$q+(-1-\beta )q^{2}+q^{3}+3\beta q^{4}-3q^{5}+\cdots$$
177.2.a.b $$2$$ $$1.413$$ $$\Q(\sqrt{5})$$ None $$-1$$ $$-2$$ $$0$$ $$-7$$ $$+$$ $$q-\beta q^{2}-q^{3}+(-1+\beta )q^{4}+(-1+2\beta )q^{5}+\cdots$$
177.2.a.c $$2$$ $$1.413$$ $$\Q(\sqrt{5})$$ None $$1$$ $$2$$ $$2$$ $$1$$ $$-$$ $$q+\beta q^{2}+q^{3}+(-1+\beta )q^{4}+q^{5}+\beta q^{6}+\cdots$$
177.2.a.d $$3$$ $$1.413$$ 3.3.229.1 None $$0$$ $$-3$$ $$-2$$ $$9$$ $$-$$ $$q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(-1+\beta _{1}+\cdots)q^{5}+\cdots$$
177.2.d.a $$6$$ $$1.413$$ 6.0.19298288.1 None $$-4$$ $$-1$$ $$0$$ $$0$$ $$q+(-1+\beta _{1}+\beta _{2}+\beta _{5})q^{2}-\beta _{1}q^{3}+\cdots$$
177.2.d.b $$6$$ $$1.413$$ 6.0.149721291.1 $$\Q(\sqrt{-59})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{3}-2q^{4}+(\beta _{2}+\beta _{3})q^{5}+(-\beta _{1}+\cdots)q^{7}+\cdots$$
177.2.d.c $$6$$ $$1.413$$ 6.0.19298288.1 None $$4$$ $$-1$$ $$0$$ $$0$$ $$q+(1-\beta _{1}-\beta _{2}-\beta _{5})q^{2}-\beta _{1}q^{3}+(2+\cdots)q^{4}+\cdots$$
177.2.e.a $$140$$ $$1.413$$ None $$-1$$ $$-5$$ $$-2$$ $$-2$$
177.2.e.b $$140$$ $$1.413$$ None $$1$$ $$5$$ $$2$$ $$-2$$
177.2.f.a $$504$$ $$1.413$$ None $$0$$ $$-27$$ $$0$$ $$-58$$
177.3.b.a $$38$$ $$4.823$$ None $$0$$ $$0$$ $$0$$ $$-12$$
177.3.c.a $$20$$ $$4.823$$ $$\mathbb{Q}[x]/(x^{20} + \cdots)$$ None $$0$$ $$0$$ $$0$$ $$-8$$ $$q+\beta _{1}q^{2}-\beta _{8}q^{3}+(-2+\beta _{2})q^{4}-\beta _{6}q^{5}+\cdots$$
177.3.g.a $$560$$ $$4.823$$ None $$0$$ $$0$$ $$0$$ $$8$$
177.3.h.a $$1064$$ $$4.823$$ None $$0$$ $$-29$$ $$0$$ $$-46$$
177.4.a.a $$7$$ $$10.443$$ $$\mathbb{Q}[x]/(x^{7} - \cdots)$$ None $$-8$$ $$21$$ $$-28$$ $$-59$$ $$-$$ $$q+(-1-\beta _{1})q^{2}+3q^{3}+(3+2\beta _{1}-\beta _{2}+\cdots)q^{4}+\cdots$$
177.4.a.b $$7$$ $$10.443$$ $$\mathbb{Q}[x]/(x^{7} - \cdots)$$ None $$0$$ $$-21$$ $$-2$$ $$-59$$ $$-$$ $$q-\beta _{1}q^{2}-3q^{3}+(4+\beta _{2})q^{4}+(-1+\cdots)q^{5}+\cdots$$
177.4.a.c $$8$$ $$10.443$$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None $$2$$ $$-24$$ $$-12$$ $$53$$ $$+$$ $$q+\beta _{1}q^{2}-3q^{3}+(5+\beta _{2})q^{4}+(-2+\cdots)q^{5}+\cdots$$
177.4.a.d $$8$$ $$10.443$$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None $$6$$ $$24$$ $$42$$ $$53$$ $$+$$ $$q+(1-\beta _{1})q^{2}+3q^{3}+(5-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots$$
177.4.d.a $$2$$ $$10.443$$ $$\Q(\sqrt{-59})$$ $$\Q(\sqrt{-59})$$ $$0$$ $$7$$ $$0$$ $$58$$ $$q+(4-\beta )q^{3}-8q^{4}+(-1+2\beta )q^{5}+\cdots$$
177.4.d.b $$4$$ $$10.443$$ $$\Q(\sqrt{-3}, \sqrt{-59})$$ $$\Q(\sqrt{-59})$$ $$0$$ $$-7$$ $$0$$ $$-58$$ $$q+(-2-\beta _{2}-\beta _{3})q^{3}-8q^{4}+(4\beta _{1}+\cdots)q^{5}+\cdots$$
177.4.d.c $$52$$ $$10.443$$ None $$0$$ $$-8$$ $$0$$ $$-16$$
177.4.e.a $$420$$ $$10.443$$ None $$-2$$ $$45$$ $$14$$ $$6$$
177.4.e.b $$420$$ $$10.443$$ None $$2$$ $$-45$$ $$-14$$ $$6$$
177.4.f.a $$1624$$ $$10.443$$ None $$0$$ $$-21$$ $$0$$ $$-42$$
177.5.b.a $$78$$ $$18.296$$ None $$0$$ $$0$$ $$0$$ $$76$$
177.5.c.a $$40$$ $$18.296$$ None $$0$$ $$0$$ $$0$$ $$80$$
177.6.a.a $$11$$ $$28.388$$ $$\mathbb{Q}[x]/(x^{11} - \cdots)$$ None $$-6$$ $$99$$ $$-192$$ $$-371$$ $$+$$ $$q+(-1+\beta _{1})q^{2}+9q^{3}+(14-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots$$
177.6.a.b $$12$$ $$28.388$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$-4$$ $$-108$$ $$36$$ $$-411$$ $$+$$ $$q-\beta _{1}q^{2}-9q^{3}+(17+\beta _{2})q^{4}+(3+\beta _{1}+\cdots)q^{5}+\cdots$$
177.6.a.c $$12$$ $$28.388$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$22$$ $$108$$ $$158$$ $$413$$ $$-$$ $$q+(2-\beta _{1})q^{2}+9q^{3}+(17-2\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots$$
177.6.a.d $$13$$ $$28.388$$ $$\mathbb{Q}[x]/(x^{13} - \cdots)$$ None $$0$$ $$-117$$ $$-14$$ $$373$$ $$-$$ $$q+\beta _{1}q^{2}-9q^{3}+(19+\beta _{2})q^{4}+(-1+\cdots)q^{5}+\cdots$$
177.6.d.a $$6$$ $$28.388$$ 6.0.149721291.1 $$\Q(\sqrt{-59})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q+(4\beta _{2}+3\beta _{3}-3\beta _{4})q^{3}-2^{5}q^{4}+(21\beta _{1}+\cdots)q^{5}+\cdots$$
177.6.d.b $$92$$ $$28.388$$ None $$0$$ $$22$$ $$0$$ $$-80$$
177.7.c.a $$60$$ $$40.720$$ None $$0$$ $$0$$ $$0$$ $$-408$$
177.8.a.a $$16$$ $$55.292$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None $$-6$$ $$-432$$ $$-68$$ $$-2343$$ $$-$$ $$q-\beta _{1}q^{2}-3^{3}q^{3}+(61+\beta _{2})q^{4}+(-5+\cdots)q^{5}+\cdots$$
177.8.a.b $$17$$ $$55.292$$ $$\mathbb{Q}[x]/(x^{17} - \cdots)$$ None $$-32$$ $$459$$ $$-1072$$ $$-2407$$ $$-$$ $$q+(-2+\beta _{1})q^{2}+3^{3}q^{3}+(69-3\beta _{1}+\cdots)q^{4}+\cdots$$
177.8.a.c $$17$$ $$55.292$$ $$\mathbb{Q}[x]/(x^{17} - \cdots)$$ None $$2$$ $$-459$$ $$-318$$ $$3145$$ $$+$$ $$q+\beta _{1}q^{2}-3^{3}q^{3}+(68+\beta _{1}+\beta _{2})q^{4}+\cdots$$
177.8.a.d $$18$$ $$55.292$$ $$\mathbb{Q}[x]/(x^{18} - \cdots)$$ None $$24$$ $$486$$ $$678$$ $$3081$$ $$+$$ $$q+(1+\beta _{1})q^{2}+3^{3}q^{3}+(75+\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots$$
177.9.c.a $$80$$ $$72.106$$ None $$0$$ $$0$$ $$0$$ $$160$$
177.10.a.a $$21$$ $$91.161$$ None $$-66$$ $$1701$$ $$-2964$$ $$-30775$$ $$+$$
177.10.a.b $$21$$ $$91.161$$ None $$20$$ $$-1701$$ $$2058$$ $$-17167$$ $$+$$
177.10.a.c $$22$$ $$91.161$$ None $$36$$ $$-1782$$ $$808$$ $$21249$$ $$-$$
177.10.a.d $$22$$ $$91.161$$ None $$46$$ $$1782$$ $$5786$$ $$7641$$ $$-$$
177.11.c.a $$100$$ $$112.458$$ None $$0$$ $$0$$ $$0$$ $$18392$$
177.12.a.a $$26$$ $$135.997$$ None $$-78$$ $$-6318$$ $$3808$$ $$-98819$$ $$-$$
177.12.a.b $$27$$ $$135.997$$ None $$-128$$ $$6561$$ $$-17188$$ $$-126579$$ $$-$$
177.12.a.c $$27$$ $$135.997$$ None $$-46$$ $$-6561$$ $$-2442$$ $$170093$$ $$+$$
177.12.a.d $$28$$ $$135.997$$ None $$96$$ $$6804$$ $$26562$$ $$142333$$ $$+$$
177.14.a.a $$30$$ $$189.799$$ None $$-138$$ $$21870$$ $$-137742$$ $$-879443$$ $$+$$
177.14.a.b $$31$$ $$189.799$$ None $$-52$$ $$-22599$$ $$33486$$ $$-1135539$$ $$+$$
177.14.a.c $$31$$ $$189.799$$ None $$310$$ $$22599$$ $$81008$$ $$1002941$$ $$-$$