## Results (1-50 of 95 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
3800.1.b.a $$2$$ $$1.896$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-38})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{2}-iq^{3}-q^{4}-q^{6}-iq^{7}+iq^{8}+\cdots$$
3800.1.b.b $$2$$ $$1.896$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-38})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{2}-iq^{3}-q^{4}-q^{6}+iq^{7}+iq^{8}+\cdots$$
3800.1.b.c $$6$$ $$1.896$$ 6.0.419904.1 $$\Q(\sqrt{-38})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{3}q^{2}-\beta _{5}q^{3}-q^{4}+\beta _{4}q^{6}+\beta _{1}q^{7}+\cdots$$
3800.1.b.d $$6$$ $$1.896$$ 6.0.419904.1 $$\Q(\sqrt{-38})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{3}q^{2}+(-\beta _{1}-\beta _{5})q^{3}-q^{4}-\beta _{2}q^{6}+\cdots$$
3800.1.o.a $$1$$ $$1.896$$ $$\Q$$ $$\Q(\sqrt{-38})$$ None $$-1$$ $$1$$ $$0$$ $$1$$ $$q-q^{2}+q^{3}+q^{4}-q^{6}+q^{7}-q^{8}+\cdots$$
3800.1.o.b $$1$$ $$1.896$$ $$\Q$$ $$\Q(\sqrt{-38})$$ None $$1$$ $$-1$$ $$0$$ $$1$$ $$q+q^{2}-q^{3}+q^{4}-q^{6}+q^{7}+q^{8}+\cdots$$
3800.1.o.c $$3$$ $$1.896$$ $$\Q(\zeta_{18})^+$$ $$\Q(\sqrt{-38})$$ None $$-3$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}+(-\beta _{1}+\beta _{2})q^{3}+q^{4}+(\beta _{1}-\beta _{2})q^{6}+\cdots$$
3800.1.o.d $$3$$ $$1.896$$ $$\Q(\zeta_{18})^+$$ $$\Q(\sqrt{-38})$$ None $$-3$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}+(-\beta _{1}+\beta _{2})q^{3}+q^{4}+(\beta _{1}-\beta _{2})q^{6}+\cdots$$
3800.1.o.e $$3$$ $$1.896$$ $$\Q(\zeta_{18})^+$$ $$\Q(\sqrt{-38})$$ None $$3$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}+(\beta _{1}-\beta _{2})q^{3}+q^{4}+(\beta _{1}-\beta _{2})q^{6}+\cdots$$
3800.1.o.f $$3$$ $$1.896$$ $$\Q(\zeta_{18})^+$$ $$\Q(\sqrt{-38})$$ None $$3$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}+(\beta _{1}-\beta _{2})q^{3}+q^{4}+(\beta _{1}-\beta _{2})q^{6}+\cdots$$
3800.1.o.g $$8$$ $$1.896$$ $$\Q(\zeta_{16})$$ $$\Q(\sqrt{-95})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{16}q^{2}+(\zeta_{16}^{3}-\zeta_{16}^{5})q^{3}+\zeta_{16}^{2}q^{4}+\cdots$$
3800.1.y.a $$2$$ $$1.896$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-95})$$ None $$-2$$ $$-2$$ $$0$$ $$0$$ $$q-q^{2}+(-1-i)q^{3}+q^{4}+(1+i)q^{6}+\cdots$$
3800.1.y.b $$2$$ $$1.896$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-95})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $$q+iq^{2}+(-1-i)q^{3}-q^{4}+(1-i+\cdots)q^{6}+\cdots$$
3800.1.y.c $$2$$ $$1.896$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-95})$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$q-iq^{2}+(1+i)q^{3}-q^{4}+(1-i)q^{6}+\cdots$$
3800.1.y.d $$2$$ $$1.896$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-95})$$ None $$2$$ $$2$$ $$0$$ $$0$$ $$q+q^{2}+(1+i)q^{3}+q^{4}+(1+i)q^{6}+\cdots$$
3800.1.y.e $$4$$ $$1.896$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-2})$$, $$\Q(\sqrt{-95})$$ $$\Q(\sqrt{190})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}q^{2}-\zeta_{8}^{3}q^{3}+\zeta_{8}^{2}q^{4}-2q^{6}+\cdots$$
3800.1.y.f $$4$$ $$1.896$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-10})$$, $$\Q(\sqrt{-95})$$ $$\Q(\sqrt{38})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}-\zeta_{8}q^{8}+\zeta_{8}^{2}q^{9}+\cdots$$
3800.1.y.g $$8$$ $$1.896$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{3}q^{2}+\zeta_{24}^{9}q^{3}+\zeta_{24}^{6}q^{4}+\cdots$$
3800.1.bd.a $$2$$ $$1.896$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$-1$$ $$-2$$ $$0$$ $$0$$ $$q+\zeta_{6}^{2}q^{2}+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}-2\zeta_{6}q^{6}+\cdots$$
3800.1.bd.b $$2$$ $$1.896$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$-1$$ $$1$$ $$0$$ $$0$$ $$q+\zeta_{6}^{2}q^{2}-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{6}+\cdots$$
3800.1.bd.c $$2$$ $$1.896$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$1$$ $$-1$$ $$0$$ $$0$$ $$q-\zeta_{6}^{2}q^{2}+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{6}+\cdots$$
3800.1.bd.d $$2$$ $$1.896$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$1$$ $$-1$$ $$0$$ $$0$$ $$q-\zeta_{6}^{2}q^{2}+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{6}+\cdots$$
3800.1.bd.e $$2$$ $$1.896$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$1$$ $$2$$ $$0$$ $$0$$ $$q-\zeta_{6}^{2}q^{2}-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}-2\zeta_{6}q^{6}+\cdots$$
3800.1.bd.f $$4$$ $$1.896$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-10})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{5}q^{2}-\zeta_{12}^{4}q^{4}+\zeta_{12}^{3}q^{7}+\cdots$$
3800.1.bn.a $$4$$ $$1.896$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}^{5}q^{2}+\zeta_{12}^{5}q^{3}-\zeta_{12}^{4}q^{4}+\cdots$$
3800.1.bn.b $$4$$ $$1.896$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}^{5}q^{2}-\zeta_{12}^{5}q^{3}-\zeta_{12}^{4}q^{4}+\cdots$$
3800.1.bn.c $$4$$ $$1.896$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}^{5}q^{2}-\zeta_{12}^{5}q^{3}-\zeta_{12}^{4}q^{4}+\cdots$$
3800.1.cj.a $$4$$ $$1.896$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$-2$$ $$0$$ $$0$$ $$q+(-\zeta_{12}+\zeta_{12}^{4})q^{3}-\zeta_{12}^{5}q^{9}+q^{11}+\cdots$$
3800.1.cj.b $$4$$ $$1.896$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{5}q^{9}-q^{11}+(-\zeta_{12}^{2}-\zeta_{12}^{5}+\cdots)q^{13}+\cdots$$
3800.1.cj.c $$4$$ $$1.896$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{5}q^{9}-q^{11}+(\zeta_{12}^{2}+\zeta_{12}^{5}+\cdots)q^{13}+\cdots$$
3800.1.ck.a $$8$$ $$1.896$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{7}q^{2}-\zeta_{24}q^{3}-\zeta_{24}^{2}q^{4}+\zeta_{24}^{8}q^{6}+\cdots$$
3800.1.ck.b $$8$$ $$1.896$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{7}q^{2}-\zeta_{24}q^{3}-\zeta_{24}^{2}q^{4}+\zeta_{24}^{8}q^{6}+\cdots$$
3800.1.ck.c $$8$$ $$1.896$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-10})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}q^{2}+\zeta_{24}^{2}q^{4}+(\zeta_{24}+\zeta_{24}^{5}+\cdots)q^{7}+\cdots$$
3800.1.ck.d $$8$$ $$1.896$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}^{7}q^{2}-\zeta_{24}q^{3}-\zeta_{24}^{2}q^{4}-2\zeta_{24}^{8}q^{6}+\cdots$$
3800.1.cq.a $$12$$ $$1.896$$ $$\Q(\zeta_{36})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{36}q^{2}+(-\zeta_{36}^{11}-\zeta_{36}^{15})q^{3}+\cdots$$
3800.1.cq.b $$12$$ $$1.896$$ $$\Q(\zeta_{36})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{36}q^{2}+(\zeta_{36}^{3}-\zeta_{36}^{5})q^{3}+\zeta_{36}^{2}q^{4}+\cdots$$
3800.1.cq.c $$12$$ $$1.896$$ $$\Q(\zeta_{36})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{36}q^{2}+(-\zeta_{36}^{9}-\zeta_{36}^{17})q^{3}+\cdots$$
3800.1.cv.a $$6$$ $$1.896$$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$-6$$ $$0$$ $$0$$ $$q+\zeta_{18}^{5}q^{2}+(-1-\zeta_{18}^{4})q^{3}-\zeta_{18}q^{4}+\cdots$$
3800.1.cv.b $$6$$ $$1.896$$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$-3$$ $$0$$ $$0$$ $$q-\zeta_{18}^{5}q^{2}+(-\zeta_{18}-\zeta_{18}^{3})q^{3}-\zeta_{18}q^{4}+\cdots$$
3800.1.cv.c $$6$$ $$1.896$$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$3$$ $$0$$ $$0$$ $$q+\zeta_{18}^{5}q^{2}+(-\zeta_{18}^{6}+\zeta_{18}^{7})q^{3}+\cdots$$
3800.1.cv.d $$6$$ $$1.896$$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$3$$ $$0$$ $$0$$ $$q+\zeta_{18}^{5}q^{2}+(\zeta_{18}+\zeta_{18}^{3})q^{3}-\zeta_{18}q^{4}+\cdots$$
3800.1.cv.e $$6$$ $$1.896$$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$6$$ $$0$$ $$0$$ $$q-\zeta_{18}^{5}q^{2}+(1+\zeta_{18}^{4})q^{3}-\zeta_{18}q^{4}+\cdots$$
3800.1.cv.f $$12$$ $$1.896$$ $$\Q(\zeta_{36})$$ $$\Q(\sqrt{-10})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{36}q^{2}+\zeta_{36}^{2}q^{4}+(-\zeta_{36}^{13}-\zeta_{36}^{17}+\cdots)q^{7}+\cdots$$
3800.1.eb.a $$24$$ $$1.896$$ $$\Q(\zeta_{72})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{72}^{31}q^{2}+(\zeta_{72}^{5}-\zeta_{72}^{9})q^{3}-\zeta_{72}^{26}q^{4}+\cdots$$
3800.1.eb.b $$24$$ $$1.896$$ $$\Q(\zeta_{72})$$ $$\Q(\sqrt{-10})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{72}^{13}q^{2}+\zeta_{72}^{26}q^{4}+(-\zeta_{72}^{5}+\cdots)q^{7}+\cdots$$
3800.1.eb.c $$24$$ $$1.896$$ $$\Q(\zeta_{72})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{72}^{31}q^{2}+(\zeta_{72}^{17}+\zeta_{72}^{33})q^{3}+\cdots$$
3800.1.eb.d $$24$$ $$1.896$$ $$\Q(\zeta_{72})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{72}^{31}q^{2}+(\zeta_{72}^{21}+\zeta_{72}^{29})q^{3}+\cdots$$
3800.2.a.a $$1$$ $$30.343$$ $$\Q$$ None None $$0$$ $$-3$$ $$0$$ $$1$$ $$-$$ $$q-3q^{3}+q^{7}+6q^{9}+4q^{11}-q^{13}+\cdots$$
3800.2.a.b $$1$$ $$30.343$$ $$\Q$$ None None $$0$$ $$-2$$ $$0$$ $$-4$$ $$-$$ $$q-2q^{3}-4q^{7}+q^{9}-4q^{11}-6q^{17}+\cdots$$
3800.2.a.c $$1$$ $$30.343$$ $$\Q$$ None None $$0$$ $$-2$$ $$0$$ $$2$$ $$-$$ $$q-2q^{3}+2q^{7}+q^{9}+4q^{11}+8q^{17}+\cdots$$