## Results (displaying matches 1-50 of 173) Next

Label Dim. $$A$$ Field CM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
11.2.a.a $$1$$ $$0.088$$ $$\Q$$ None $$-2$$ $$-1$$ $$1$$ $$-2$$ $$-$$ $$q-2q^{2}-q^{3}+2q^{4}+q^{5}+2q^{6}-2q^{7}+\cdots$$
11.3.b.a $$1$$ $$0.300$$ $$\Q$$ $$\Q(\sqrt{-11})$$ $$0$$ $$-5$$ $$-1$$ $$0$$ $$q-5q^{3}+4q^{4}-q^{5}+2^{4}q^{9}-11q^{11}+\cdots$$
11.3.d.a $$4$$ $$0.300$$ $$\Q(\zeta_{10})$$ None $$-5$$ $$0$$ $$-4$$ $$10$$ $$q+(-2\zeta_{10}+2\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}+(-2+\cdots)q^{3}+\cdots$$
11.4.a.a $$2$$ $$0.649$$ $$\Q(\sqrt{3})$$ None $$2$$ $$-2$$ $$2$$ $$20$$ $$+$$ $$q+(1+\beta )q^{2}+(-1-4\beta )q^{3}+(-4+2\beta )q^{4}+\cdots$$
11.4.c.a $$8$$ $$0.649$$ 8.0.$$\cdots$$.1 None $$-7$$ $$-3$$ $$-7$$ $$-35$$ $$q+(-1+\beta _{1}+\beta _{2}-\beta _{4})q^{2}+(-2-2\beta _{2}+\cdots)q^{3}+\cdots$$
11.5.b.a $$1$$ $$1.137$$ $$\Q$$ $$\Q(\sqrt{-11})$$ $$0$$ $$7$$ $$-49$$ $$0$$ $$q+7q^{3}+2^{4}q^{4}-7^{2}q^{5}-2^{5}q^{9}+11^{2}q^{11}+\cdots$$
11.5.b.b $$2$$ $$1.137$$ $$\Q(\sqrt{-30})$$ None $$0$$ $$-6$$ $$62$$ $$0$$ $$q+\beta q^{2}-3q^{3}-14q^{4}+31q^{5}-3\beta q^{6}+\cdots$$
11.5.d.a $$12$$ $$1.137$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None $$-5$$ $$-6$$ $$-18$$ $$-80$$ $$q+(-1-\beta _{2}-2\beta _{3}-\beta _{4}+\beta _{7})q^{2}+\cdots$$
11.6.a.a $$1$$ $$1.764$$ $$\Q$$ None $$-4$$ $$-15$$ $$-19$$ $$10$$ $$+$$ $$q-4q^{2}-15q^{3}-2^{4}q^{4}-19q^{5}+60q^{6}+\cdots$$
11.6.a.b $$3$$ $$1.764$$ 3.3.54492.1 None $$0$$ $$34$$ $$24$$ $$84$$ $$-$$ $$q+\beta _{2}q^{2}+(11+\beta _{1}-\beta _{2})q^{3}+(30-6\beta _{1}+\cdots)q^{4}+\cdots$$
11.6.c.a $$16$$ $$1.764$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None $$-1$$ $$-24$$ $$-10$$ $$196$$ $$q+(1-\beta _{1}-\beta _{2}+\beta _{3}+\beta _{4}+\beta _{7})q^{2}+\cdots$$
11.7.b.a $$1$$ $$2.531$$ $$\Q$$ $$\Q(\sqrt{-11})$$ $$0$$ $$10$$ $$74$$ $$0$$ $$q+10q^{3}+2^{6}q^{4}+74q^{5}-629q^{9}+\cdots$$
11.7.b.b $$4$$ $$2.531$$ $$\mathbb{Q}[x]/(x^{4} + \cdots)$$ None $$0$$ $$24$$ $$-260$$ $$0$$ $$q+\beta _{1}q^{2}+(6-\beta _{2})q^{3}+(-71+\beta _{2}+\cdots)q^{4}+\cdots$$
11.7.d.a $$20$$ $$2.531$$ $$\mathbb{Q}[x]/(x^{20} + \cdots)$$ None $$-5$$ $$-39$$ $$181$$ $$-365$$ $$q+(-\beta _{4}+\beta _{6}-\beta _{9})q^{2}+(3\beta _{4}+2\beta _{5}+\cdots)q^{3}+\cdots$$
11.8.a.a $$2$$ $$3.436$$ $$\Q(\sqrt{15})$$ None $$-8$$ $$-6$$ $$-470$$ $$-1228$$ $$-$$ $$q+(-4+\beta )q^{2}+(-3-6\beta )q^{3}+(-52+\cdots)q^{4}+\cdots$$
11.8.a.b $$4$$ $$3.436$$ $$\mathbb{Q}[x]/(x^{4} - \cdots)$$ None $$0$$ $$-35$$ $$537$$ $$170$$ $$+$$ $$q-\beta _{2}q^{2}+(-9-\beta _{1}-\beta _{2}-\beta _{3})q^{3}+\cdots$$
11.8.c.a $$24$$ $$3.436$$ None $$3$$ $$36$$ $$-72$$ $$68$$
11.9.b.a $$1$$ $$4.481$$ $$\Q$$ $$\Q(\sqrt{-11})$$ $$0$$ $$-113$$ $$1151$$ $$0$$ $$q-113q^{3}+2^{8}q^{4}+1151q^{5}+6208q^{9}+\cdots$$
11.9.b.b $$6$$ $$4.481$$ $$\mathbb{Q}[x]/(x^{6} + \cdots)$$ None $$0$$ $$-36$$ $$-448$$ $$0$$ $$q+\beta _{1}q^{2}+(-6-\beta _{4})q^{3}+(-203+3\beta _{3}+\cdots)q^{4}+\cdots$$
11.9.d.a $$28$$ $$4.481$$ None $$-5$$ $$144$$ $$-708$$ $$5470$$
11.10.a.a $$3$$ $$5.665$$ 3.3.2659452.1 None $$0$$ $$-186$$ $$-1824$$ $$-7260$$ $$+$$ $$q-\beta _{1}q^{2}+(-62+4\beta _{1}-\beta _{2})q^{3}+(304+\cdots)q^{4}+\cdots$$
11.10.a.b $$5$$ $$5.665$$ $$\mathbb{Q}[x]/(x^{5} - \cdots)$$ None $$16$$ $$112$$ $$1594$$ $$8400$$ $$-$$ $$q+(3+\beta _{1})q^{2}+(22+3\beta _{1}+\beta _{4})q^{3}+\cdots$$
11.10.c.a $$32$$ $$5.665$$ None $$-21$$ $$69$$ $$225$$ $$-10675$$
11.11.b.a $$1$$ $$6.989$$ $$\Q$$ $$\Q(\sqrt{-11})$$ $$0$$ $$475$$ $$-3001$$ $$0$$ $$q+475q^{3}+2^{10}q^{4}-3001q^{5}+166576q^{9}+\cdots$$
11.11.b.b $$8$$ $$6.989$$ $$\mathbb{Q}[x]/(x^{8} + \cdots)$$ None $$0$$ $$-402$$ $$2430$$ $$0$$ $$q+\beta _{1}q^{2}+(-50+\beta _{2})q^{3}+(-22^{2}+\cdots)q^{4}+\cdots$$
11.11.d.a $$36$$ $$6.989$$ None $$-5$$ $$-78$$ $$566$$ $$-9740$$
11.12.a.a $$3$$ $$8.452$$ 3.3.202533.1 None $$0$$ $$-393$$ $$-7305$$ $$-5082$$ $$-$$ $$q-\beta _{1}q^{2}+(-131-2\beta _{1}-4\beta _{2})q^{3}+\cdots$$
11.12.a.b $$5$$ $$8.452$$ $$\mathbb{Q}[x]/(x^{5} - \cdots)$$ None $$32$$ $$160$$ $$-8398$$ $$79040$$ $$+$$ $$q+(6+\beta _{1})q^{2}+(2^{5}-\beta _{3})q^{3}+(1239+\cdots)q^{4}+\cdots$$
11.12.c.a $$40$$ $$8.452$$ None $$11$$ $$-276$$ $$6038$$ $$55440$$
11.13.b.a $$1$$ $$10.054$$ $$\Q$$ $$\Q(\sqrt{-11})$$ $$0$$ $$-1358$$ $$-25774$$ $$0$$ $$q-1358q^{3}+2^{12}q^{4}-25774q^{5}+\cdots$$
11.13.b.b $$10$$ $$10.054$$ $$\mathbb{Q}[x]/(x^{10} + \cdots)$$ None $$0$$ $$2436$$ $$26492$$ $$0$$ $$q+\beta _{1}q^{2}+(244+\beta _{3})q^{3}+(-2035+\cdots)q^{4}+\cdots$$
11.13.d.a $$44$$ $$10.054$$ None $$-5$$ $$-1083$$ $$-723$$ $$-219605$$
11.14.a.a $$5$$ $$11.795$$ $$\mathbb{Q}[x]/(x^{5} - \cdots)$$ None $$-64$$ $$480$$ $$-454$$ $$-313920$$ $$+$$ $$q+(-13-\beta _{1})q^{2}+(96-2\beta _{1}-\beta _{3}+\cdots)q^{3}+\cdots$$
11.14.a.b $$7$$ $$11.795$$ $$\mathbb{Q}[x]/(x^{7} - \cdots)$$ None $$0$$ $$379$$ $$52689$$ $$-89386$$ $$-$$ $$q-\beta _{1}q^{2}+(54+3\beta _{1}-\beta _{2})q^{3}+(6727+\cdots)q^{4}+\cdots$$
11.14.c.a $$48$$ $$11.795$$ None $$59$$ $$-864$$ $$-52240$$ $$390696$$
11.15.b.a $$1$$ $$13.676$$ $$\Q$$ $$\Q(\sqrt{-11})$$ $$0$$ $$2515$$ $$100799$$ $$0$$ $$q+2515q^{3}+2^{14}q^{4}+100799q^{5}+\cdots$$
11.15.b.b $$12$$ $$13.676$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None $$0$$ $$-5832$$ $$-135680$$ $$0$$ $$q+\beta _{1}q^{2}+(-486+\beta _{3})q^{3}+(-10877+\cdots)q^{4}+\cdots$$
11.15.d.a $$52$$ $$13.676$$ None $$-5$$ $$3312$$ $$34876$$ $$1575010$$
11.16.a.a $$5$$ $$15.696$$ $$\mathbb{Q}[x]/(x^{5} - \cdots)$$ None $$-128$$ $$-5424$$ $$-458990$$ $$-2203600$$ $$-$$ $$q+(-26+\beta _{1})q^{2}+(-1085+\beta _{2})q^{3}+\cdots$$
11.16.a.b $$7$$ $$15.696$$ $$\mathbb{Q}[x]/(x^{7} - \cdots)$$ None $$0$$ $$6142$$ $$202692$$ $$-475420$$ $$+$$ $$q-\beta _{1}q^{2}+(877-5\beta _{1}+\beta _{2})q^{3}+(18366+\cdots)q^{4}+\cdots$$
11.16.c.a $$56$$ $$15.696$$ None $$-309$$ $$5973$$ $$152073$$ $$-7602707$$
11.17.b.a $$1$$ $$17.856$$ $$\Q$$ $$\Q(\sqrt{-11})$$ $$0$$ $$-353$$ $$543551$$ $$0$$ $$q-353q^{3}+2^{16}q^{4}+543551q^{5}+\cdots$$
11.17.b.b $$14$$ $$17.856$$ $$\mathbb{Q}[x]/(x^{14} + \cdots)$$ None $$0$$ $$498$$ $$-535618$$ $$0$$ $$q+\beta _{1}q^{2}+(6^{2}+\beta _{2})q^{3}+(-43414+\cdots)q^{4}+\cdots$$
11.17.d.a $$60$$ $$17.856$$ None $$-5$$ $$-150$$ $$-7938$$ $$2885320$$
11.18.a.a $$6$$ $$20.154$$ $$\mathbb{Q}[x]/(x^{6} - \cdots)$$ None $$0$$ $$11865$$ $$347991$$ $$-31314630$$ $$+$$ $$q-\beta _{1}q^{2}+(1977+14\beta _{1}-\beta _{2})q^{3}+\cdots$$
11.18.a.b $$8$$ $$20.154$$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None $$256$$ $$3058$$ $$1795234$$ $$-896364$$ $$-$$ $$q+(2^{5}-\beta _{1})q^{2}+(382-9\beta _{1}+\beta _{2})q^{3}+\cdots$$
11.18.c.a $$64$$ $$20.154$$ None $$795$$ $$-6360$$ $$-91530$$ $$49560700$$
11.19.b.a $$1$$ $$22.592$$ $$\Q$$ $$\Q(\sqrt{-11})$$ $$0$$ $$-20870$$ $$-3063526$$ $$0$$ $$q-20870q^{3}+2^{18}q^{4}-3063526q^{5}+\cdots$$
11.19.b.b $$16$$ $$22.592$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None $$0$$ $$38544$$ $$5217660$$ $$0$$ $$q+\beta _{1}q^{2}+(2409-\beta _{2})q^{3}+(-136842+\cdots)q^{4}+\cdots$$
11.19.d.a $$68$$ $$22.592$$ None $$-5$$ $$-17679$$ $$-2154139$$ $$-91602365$$
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