# Learn more about

## Results (displaying matches 1-50 of 208) Next

Label Dim. $$A$$ Field CM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
26.2.a.a $$1$$ $$0.208$$ $$\Q$$ None $$-1$$ $$1$$ $$-3$$ $$-1$$ $$-$$ $$q-q^{2}+q^{3}+q^{4}-3q^{5}-q^{6}-q^{7}+\cdots$$
26.2.a.b $$1$$ $$0.208$$ $$\Q$$ None $$1$$ $$-3$$ $$-1$$ $$1$$ $$-$$ $$q+q^{2}-3q^{3}+q^{4}-q^{5}-3q^{6}+q^{7}+\cdots$$
26.2.b.a $$2$$ $$0.208$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $$q+iq^{2}-q^{3}-q^{4}-3iq^{5}-iq^{6}+\cdots$$
26.2.c.a $$2$$ $$0.208$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$0$$ $$-2$$ $$-4$$ $$q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}-q^{5}-4\zeta_{6}q^{7}+\cdots$$
26.3.d.a $$2$$ $$0.708$$ $$\Q(\sqrt{-1})$$ None $$2$$ $$0$$ $$-6$$ $$4$$ $$q+(1+i)q^{2}+2iq^{4}+(-3-3i)q^{5}+\cdots$$
26.3.f.a $$4$$ $$0.708$$ $$\Q(\zeta_{12})$$ None $$2$$ $$0$$ $$0$$ $$-22$$ $$q+(\zeta_{12}+\zeta_{12}^{2}-\zeta_{12}^{3})q^{2}+(-\zeta_{12}+\cdots)q^{3}+\cdots$$
26.3.f.b $$8$$ $$0.708$$ 8.0.$$\cdots$$.1 None $$-4$$ $$0$$ $$6$$ $$-2$$ $$q+(-\beta _{3}-\beta _{4})q^{2}+(-\beta _{2}+\beta _{4}-\beta _{5}+\cdots)q^{3}+\cdots$$
26.4.a.a $$1$$ $$1.534$$ $$\Q$$ None $$-2$$ $$3$$ $$11$$ $$19$$ $$+$$ $$q-2q^{2}+3q^{3}+4q^{4}+11q^{5}-6q^{6}+\cdots$$
26.4.a.b $$1$$ $$1.534$$ $$\Q$$ None $$2$$ $$-1$$ $$17$$ $$-35$$ $$+$$ $$q+2q^{2}-q^{3}+4q^{4}+17q^{5}-2q^{6}+\cdots$$
26.4.a.c $$1$$ $$1.534$$ $$\Q$$ None $$2$$ $$4$$ $$-18$$ $$20$$ $$+$$ $$q+2q^{2}+4q^{3}+4q^{4}-18q^{5}+8q^{6}+\cdots$$
26.4.b.a $$4$$ $$1.534$$ $$\Q(i, \sqrt{217})$$ None $$0$$ $$-6$$ $$0$$ $$0$$ $$q-\beta _{2}q^{2}+(-2+\beta _{3})q^{3}-4q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots$$
26.4.c.a $$2$$ $$1.534$$ $$\Q(\sqrt{-3})$$ None $$2$$ $$3$$ $$4$$ $$5$$ $$q+(2-2\zeta_{6})q^{2}+(3-3\zeta_{6})q^{3}-4\zeta_{6}q^{4}+\cdots$$
26.4.c.b $$4$$ $$1.534$$ $$\Q(\sqrt{-3}, \sqrt{217})$$ None $$-4$$ $$3$$ $$-14$$ $$45$$ $$q-2\beta _{2}q^{2}+(\beta _{1}+\beta _{2})q^{3}+(-4+4\beta _{2}+\cdots)q^{4}+\cdots$$
26.4.e.a $$8$$ $$1.534$$ $$\mathbb{Q}[x]/(x^{8} + \cdots)$$ None $$0$$ $$-6$$ $$0$$ $$18$$ $$q-\beta _{3}q^{2}+(-2+2\beta _{1}+\beta _{4}-\beta _{7})q^{3}+\cdots$$
26.5.d.a $$6$$ $$2.688$$ $$\mathbb{Q}[x]/(x^{6} + \cdots)$$ None $$-12$$ $$0$$ $$18$$ $$-42$$ $$q+(-2-2\beta _{2})q^{2}+\beta _{3}q^{3}+8\beta _{2}q^{4}+\cdots$$
26.5.d.b $$6$$ $$2.688$$ $$\mathbb{Q}[x]/(x^{6} + \cdots)$$ None $$12$$ $$0$$ $$-30$$ $$-90$$ $$q+(2+2\beta _{2})q^{2}-\beta _{3}q^{3}+8\beta _{2}q^{4}+(-5+\cdots)q^{5}+\cdots$$
26.5.f.a $$8$$ $$2.688$$ 8.0.$$\cdots$$.3 None $$-8$$ $$0$$ $$30$$ $$-92$$ $$q+(-2\beta _{4}-2\beta _{5}-2\beta _{6})q^{2}+(-1-\beta _{1}+\cdots)q^{3}+\cdots$$
26.5.f.b $$8$$ $$2.688$$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None $$8$$ $$0$$ $$-18$$ $$4$$ $$q+(2\beta _{3}-2\beta _{6})q^{2}+(\beta _{1}+3\beta _{5}-\beta _{6}+\cdots)q^{3}+\cdots$$
26.6.a.a $$1$$ $$4.170$$ $$\Q$$ None $$-4$$ $$0$$ $$-14$$ $$-170$$ $$+$$ $$q-4q^{2}+2^{4}q^{4}-14q^{5}-170q^{7}+\cdots$$
26.6.a.b $$2$$ $$4.170$$ $$\Q(\sqrt{2785})$$ None $$-8$$ $$9$$ $$-37$$ $$327$$ $$-$$ $$q-4q^{2}+(5-\beta )q^{3}+2^{4}q^{4}+(-19+\cdots)q^{5}+\cdots$$
26.6.a.c $$2$$ $$4.170$$ $$\Q(\sqrt{849})$$ None $$8$$ $$9$$ $$73$$ $$155$$ $$-$$ $$q+4q^{2}+(5-\beta )q^{3}+2^{4}q^{4}+(35+3\beta )q^{5}+\cdots$$
26.6.b.a $$2$$ $$4.170$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$-26$$ $$0$$ $$0$$ $$q+4iq^{2}-13q^{3}-2^{4}q^{4}-51iq^{5}+\cdots$$
26.6.b.b $$2$$ $$4.170$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$8$$ $$0$$ $$0$$ $$q+2iq^{2}+4q^{3}-2^{4}q^{4}+34iq^{5}+\cdots$$
26.6.c.a $$6$$ $$4.170$$ $$\mathbb{Q}[x]/(x^{6} + \cdots)$$ None $$-12$$ $$0$$ $$2$$ $$-202$$ $$q-4\beta _{1}q^{2}+\beta _{3}q^{3}+(-2^{4}+2^{4}\beta _{1}+\cdots)q^{4}+\cdots$$
26.6.c.b $$8$$ $$4.170$$ $$\mathbb{Q}[x]/(x^{8} + \cdots)$$ None $$16$$ $$0$$ $$-24$$ $$126$$ $$q+(4+4\beta _{2})q^{2}-\beta _{1}q^{3}+2^{4}\beta _{2}q^{4}+\cdots$$
26.6.e.a $$12$$ $$4.170$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None $$0$$ $$0$$ $$0$$ $$360$$ $$q-\beta _{4}q^{2}-\beta _{3}q^{3}+2^{4}\beta _{7}q^{4}+(5+\beta _{3}+\cdots)q^{5}+\cdots$$
26.7.d.a $$6$$ $$5.981$$ $$\mathbb{Q}[x]/(x^{6} + \cdots)$$ None $$24$$ $$0$$ $$-150$$ $$150$$ $$q+(4+4\beta _{2})q^{2}+\beta _{3}q^{3}+2^{5}\beta _{2}q^{4}+\cdots$$
26.7.d.b $$8$$ $$5.981$$ $$\mathbb{Q}[x]/(x^{8} + \cdots)$$ None $$-32$$ $$0$$ $$84$$ $$-230$$ $$q+(-4+4\beta _{3})q^{2}-\beta _{2}q^{3}-2^{5}\beta _{3}q^{4}+\cdots$$
26.7.f.a $$12$$ $$5.981$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None $$-24$$ $$0$$ $$150$$ $$-1026$$ $$q+(-4+4\beta _{2}+4\beta _{3})q^{2}+(-\beta _{7}-\beta _{11})q^{3}+\cdots$$
26.7.f.b $$16$$ $$5.981$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None $$32$$ $$0$$ $$-84$$ $$-334$$ $$q+(4-4\beta _{3}+4\beta _{4})q^{2}-\beta _{1}q^{3}+(2^{5}\beta _{4}+\cdots)q^{4}+\cdots$$
26.8.a.a $$1$$ $$8.122$$ $$\Q$$ None $$-8$$ $$-39$$ $$385$$ $$-293$$ $$-$$ $$q-8q^{2}-39q^{3}+2^{6}q^{4}+385q^{5}+\cdots$$
26.8.a.b $$1$$ $$8.122$$ $$\Q$$ None $$8$$ $$-87$$ $$321$$ $$-181$$ $$+$$ $$q+8q^{2}-87q^{3}+2^{6}q^{4}+321q^{5}+\cdots$$
26.8.a.c $$1$$ $$8.122$$ $$\Q$$ None $$8$$ $$-27$$ $$-245$$ $$-587$$ $$-$$ $$q+8q^{2}-3^{3}q^{3}+2^{6}q^{4}-245q^{5}+\cdots$$
26.8.a.d $$2$$ $$8.122$$ $$\Q(\sqrt{105})$$ None $$-16$$ $$-12$$ $$-146$$ $$-1780$$ $$+$$ $$q-8q^{2}+(-6-7\beta )q^{3}+2^{6}q^{4}+(-73+\cdots)q^{5}+\cdots$$
26.8.a.e $$2$$ $$8.122$$ $$\Q(\sqrt{2305})$$ None $$16$$ $$87$$ $$215$$ $$705$$ $$+$$ $$q+8q^{2}+(44-\beta )q^{3}+2^{6}q^{4}+(110+\cdots)q^{5}+\cdots$$
26.8.b.a $$10$$ $$8.122$$ $$\mathbb{Q}[x]/(x^{10} + \cdots)$$ None $$0$$ $$54$$ $$0$$ $$0$$ $$q+\beta _{6}q^{2}+(5-\beta _{2})q^{3}-2^{6}q^{4}+(2\beta _{6}+\cdots)q^{5}+\cdots$$
26.8.c.a $$6$$ $$8.122$$ $$\mathbb{Q}[x]/(x^{6} + \cdots)$$ None $$-24$$ $$0$$ $$-666$$ $$1160$$ $$q+(-8-8\beta _{3})q^{2}-\beta _{1}q^{3}+2^{6}\beta _{3}q^{4}+\cdots$$
26.8.c.b $$8$$ $$8.122$$ $$\mathbb{Q}[x]/(x^{8} + \cdots)$$ None $$32$$ $$0$$ $$556$$ $$-548$$ $$q-8\beta _{1}q^{2}+\beta _{3}q^{3}+(-2^{6}-2^{6}\beta _{1}+\cdots)q^{4}+\cdots$$
26.8.e.a $$16$$ $$8.122$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None $$0$$ $$0$$ $$0$$ $$2520$$ $$q+(-\beta _{7}-\beta _{9})q^{2}+\beta _{3}q^{3}+2^{6}\beta _{1}q^{4}+\cdots$$
26.9.d.a $$8$$ $$10.592$$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None $$-64$$ $$0$$ $$420$$ $$-2702$$ $$q+(-8+8\beta _{1})q^{2}+\beta _{5}q^{3}-2^{7}\beta _{1}q^{4}+\cdots$$
26.9.d.b $$8$$ $$10.592$$ $$\mathbb{Q}[x]/(x^{8} + \cdots)$$ None $$64$$ $$0$$ $$-252$$ $$-4910$$ $$q+(8+8\beta _{2})q^{2}-\beta _{1}q^{3}+2^{7}\beta _{2}q^{4}+\cdots$$
26.9.f.a $$20$$ $$10.592$$ $$\mathbb{Q}[x]/(x^{20} + \cdots)$$ None $$-80$$ $$0$$ $$252$$ $$6844$$ $$q+(-8-8\beta _{1}-8\beta _{5})q^{2}+(5\beta _{1}+11\beta _{2}+\cdots)q^{3}+\cdots$$
26.9.f.b $$20$$ $$10.592$$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None $$80$$ $$0$$ $$-420$$ $$-4292$$ $$q+(-8\beta _{1}+8\beta _{3})q^{2}+(5\beta _{1}+11\beta _{2}+\cdots)q^{3}+\cdots$$
26.10.a.a $$1$$ $$13.391$$ $$\Q$$ None $$-16$$ $$-273$$ $$1015$$ $$3955$$ $$+$$ $$q-2^{4}q^{2}-273q^{3}+2^{8}q^{4}+1015q^{5}+\cdots$$
26.10.a.b $$1$$ $$13.391$$ $$\Q$$ None $$-16$$ $$192$$ $$-1310$$ $$-5810$$ $$+$$ $$q-2^{4}q^{2}+192q^{3}+2^{8}q^{4}-1310q^{5}+\cdots$$
26.10.a.c $$1$$ $$13.391$$ $$\Q$$ None $$16$$ $$75$$ $$-1979$$ $$-10115$$ $$+$$ $$q+2^{4}q^{2}+75q^{3}+2^{8}q^{4}-1979q^{5}+\cdots$$
26.10.a.d $$3$$ $$13.391$$ $$\mathbb{Q}[x]/(x^{3} - \cdots)$$ None $$-48$$ $$0$$ $$248$$ $$-2956$$ $$-$$ $$q-2^{4}q^{2}-\beta _{2}q^{3}+2^{8}q^{4}+(79-11\beta _{1}+\cdots)q^{5}+\cdots$$
26.10.a.e $$3$$ $$13.391$$ 3.3.2119705.1 None $$48$$ $$156$$ $$-1272$$ $$17058$$ $$-$$ $$q+2^{4}q^{2}+(52-\beta _{1}-\beta _{2})q^{3}+2^{8}q^{4}+\cdots$$
26.10.b.a $$10$$ $$13.391$$ $$\mathbb{Q}[x]/(x^{10} + \cdots)$$ None $$0$$ $$162$$ $$0$$ $$0$$ $$q-\beta _{5}q^{2}+(2^{4}-\beta _{1})q^{3}-2^{8}q^{4}+(-15\beta _{5}+\cdots)q^{5}+\cdots$$
26.10.c.a $$10$$ $$13.391$$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None $$80$$ $$-81$$ $$-1828$$ $$3323$$ $$q+(2^{4}-2^{4}\beta _{2})q^{2}+(-2^{4}-\beta _{1}+2^{4}\beta _{2}+\cdots)q^{3}+\cdots$$
Next

Download all 208 search results for