## Results (1-50 of 61 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2775.1.b.a $2$ $1.385$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-3})$$, $$\Q(\sqrt{-111})$$ $$\Q(\sqrt{37})$$ $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q-iq^{3}+q^{4}-iq^{7}-q^{9}-iq^{12}+\cdots$$
2775.1.b.b $4$ $1.385$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-111})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q+(-\zeta_{8}-\zeta_{8}^{3})q^{2}+\zeta_{8}^{2}q^{3}-q^{4}+\cdots$$
2775.1.h.a $1$ $1.385$ $$\Q$$ $$\Q(\sqrt{-3})$$, $$\Q(\sqrt{-111})$$ $$\Q(\sqrt{37})$$ $$0$$ $$-1$$ $$0$$ $$2$$ $-$ $$q-q^{3}-q^{4}+2q^{7}+q^{9}+q^{12}+q^{16}+\cdots$$
2775.1.h.b $2$ $1.385$ $$\Q(\sqrt{2})$$ $$\Q(\sqrt{-111})$$ None $$0$$ $$2$$ $$0$$ $$0$$ $-$ $$q-\beta q^{2}+q^{3}+q^{4}-\beta q^{6}+q^{9}+q^{12}+\cdots$$
2775.1.h.c $4$ $1.385$ $$\Q(\zeta_{16})^+$$ $$\Q(\sqrt{-111})$$ None $$0$$ $$-4$$ $$0$$ $$0$$ $-$ $$q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots$$
2775.1.h.d $4$ $1.385$ $$\Q(\zeta_{16})^+$$ $$\Q(\sqrt{-111})$$ None $$0$$ $$4$$ $$0$$ $$0$$ $-$ $$q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots$$
2775.1.k.a $4$ $1.385$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q-\zeta_{8}q^{3}+q^{4}+\zeta_{8}q^{7}+\zeta_{8}^{2}q^{9}-\zeta_{8}q^{12}+\cdots$$
2775.1.u.a $4$ $1.385$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q-\zeta_{8}^{3}q^{3}-q^{4}-\zeta_{8}^{3}q^{7}-\zeta_{8}^{2}q^{9}+\cdots$$
2775.1.w.a $2$ $1.385$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$1$$ $-$ $$q+\zeta_{6}q^{3}+\zeta_{6}q^{4}+\zeta_{6}q^{7}+\zeta_{6}^{2}q^{9}+\cdots$$
2775.1.x.a $4$ $1.385$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q+\zeta_{12}^{5}q^{3}+\zeta_{12}^{2}q^{4}+\zeta_{12}^{5}q^{7}+\cdots$$
2775.1.z.a $2$ $1.385$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$-1$$ $-$ $$q-\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}+\zeta_{6}^{2}q^{7}-\zeta_{6}q^{9}+\cdots$$
2775.1.bb.a $4$ $1.385$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q+\zeta_{12}^{5}q^{3}-\zeta_{12}^{2}q^{4}-\zeta_{12}^{5}q^{7}+\cdots$$
2775.1.bg.a $4$ $1.385$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-111})$$ None $$-2$$ $$-1$$ $$-1$$ $$8$$ $-$ $$q+(\zeta_{10}^{2}+\zeta_{10}^{4})q^{2}-\zeta_{10}q^{3}+(-\zeta_{10}+\cdots)q^{4}+\cdots$$
2775.1.bg.b $4$ $1.385$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-111})$$ None $$2$$ $$-1$$ $$1$$ $$8$$ $-$ $$q+(-\zeta_{10}^{2}-\zeta_{10}^{4})q^{2}-\zeta_{10}q^{3}+(-\zeta_{10}+\cdots)q^{4}+\cdots$$
2775.1.bg.c $8$ $1.385$ $$\Q(\zeta_{20})$$ $$\Q(\sqrt{-111})$$ None $$0$$ $$-2$$ $$0$$ $$-16$$ $-$ $$q+(-\zeta_{20}^{3}-\zeta_{20}^{9})q^{2}-\zeta_{20}^{2}q^{3}+\cdots$$
2775.1.bg.d $16$ $1.385$ $$\Q(\zeta_{40})$$ $$\Q(\sqrt{-111})$$ None $$0$$ $$4$$ $$0$$ $$0$$ $-$ $$q+(\zeta_{40}+\zeta_{40}^{7})q^{2}-\zeta_{40}^{8}q^{3}+(\zeta_{40}^{2}+\cdots)q^{4}+\cdots$$
2775.1.bi.a $32$ $1.385$ $$\Q(\zeta_{80})$$ $$\Q(\sqrt{-111})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q+(\zeta_{80}^{17}-\zeta_{80}^{31})q^{2}+\zeta_{80}^{28}q^{3}+\cdots$$
2775.1.bm.a $8$ $1.385$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q-\zeta_{24}q^{3}+\zeta_{24}^{4}q^{4}+\zeta_{24}q^{7}+\zeta_{24}^{2}q^{9}+\cdots$$
2775.1.bw.a $8$ $1.385$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q-\zeta_{24}^{7}q^{3}-\zeta_{24}^{4}q^{4}-\zeta_{24}^{7}q^{7}+\cdots$$
2775.1.bz.a $6$ $1.385$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-3$$ $-$ $$q+\zeta_{18}^{5}q^{3}-\zeta_{18}^{8}q^{4}+(\zeta_{18}^{6}-\zeta_{18}^{7}+\cdots)q^{7}+\cdots$$
2775.1.bz.b $6$ $1.385$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$3$$ $-$ $$q-\zeta_{18}^{5}q^{3}-\zeta_{18}^{8}q^{4}+(-\zeta_{18}^{6}+\zeta_{18}^{7}+\cdots)q^{7}+\cdots$$
2775.1.ca.a $12$ $1.385$ $$\Q(\zeta_{36})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q-\zeta_{36}^{7}q^{3}-\zeta_{36}^{4}q^{4}+(\zeta_{36}^{3}-\zeta_{36}^{17}+\cdots)q^{7}+\cdots$$
2775.1.cd.a $12$ $1.385$ $$\Q(\zeta_{36})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q-\zeta_{36}^{7}q^{3}+\zeta_{36}^{4}q^{4}+(-\zeta_{36}^{3}+\zeta_{36}^{17}+\cdots)q^{7}+\cdots$$
2775.1.ce.a $6$ $1.385$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-3$$ $-$ $$q-\zeta_{18}^{5}q^{3}+\zeta_{18}^{8}q^{4}+(\zeta_{18}^{6}-\zeta_{18}^{7}+\cdots)q^{7}+\cdots$$
2775.1.ce.b $6$ $1.385$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$3$$ $-$ $$q+\zeta_{18}^{5}q^{3}+\zeta_{18}^{8}q^{4}+(-\zeta_{18}^{6}+\zeta_{18}^{7}+\cdots)q^{7}+\cdots$$
2775.1.cy.a $24$ $1.385$ $$\Q(\zeta_{72})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q+\zeta_{72}^{31}q^{3}+\zeta_{72}^{28}q^{4}+(-\zeta_{72}^{3}+\cdots)q^{7}+\cdots$$
2775.1.di.a $24$ $1.385$ $$\Q(\zeta_{72})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q-\zeta_{72}^{35}q^{3}-\zeta_{72}^{20}q^{4}+(-\zeta_{72}^{15}+\cdots)q^{7}+\cdots$$
2775.2.a.a $1$ $22.158$ $$\Q$$ None None $$-2$$ $$1$$ $$0$$ $$0$$ $+$ $$q-2q^{2}+q^{3}+2q^{4}-2q^{6}+q^{9}-2q^{11}+\cdots$$
2775.2.a.b $1$ $22.158$ $$\Q$$ None None $$-2$$ $$1$$ $$0$$ $$1$$ $+$ $$q-2q^{2}+q^{3}+2q^{4}-2q^{6}+q^{7}+q^{9}+\cdots$$
2775.2.a.c $1$ $22.158$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$-3$$ $+$ $$q-q^{3}-2q^{4}-3q^{7}+q^{9}+4q^{11}+\cdots$$
2775.2.a.d $1$ $22.158$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$-2$$ $+$ $$q-q^{3}-2q^{4}-2q^{7}+q^{9}+2q^{12}+\cdots$$
2775.2.a.e $1$ $22.158$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$-1$$ $-$ $$q-q^{3}-2q^{4}-q^{7}+q^{9}-2q^{11}+2q^{12}+\cdots$$
2775.2.a.f $1$ $22.158$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$2$$ $-$ $$q-q^{3}-2q^{4}+2q^{7}+q^{9}+4q^{11}+\cdots$$
2775.2.a.g $1$ $22.158$ $$\Q$$ None None $$0$$ $$1$$ $$0$$ $$1$$ $+$ $$q+q^{3}-2q^{4}+q^{7}+q^{9}-2q^{11}-2q^{12}+\cdots$$
2775.2.a.h $1$ $22.158$ $$\Q$$ None None $$0$$ $$1$$ $$0$$ $$3$$ $-$ $$q+q^{3}-2q^{4}+3q^{7}+q^{9}+4q^{11}+\cdots$$
2775.2.a.i $1$ $22.158$ $$\Q$$ None None $$2$$ $$-1$$ $$0$$ $$-1$$ $-$ $$q+2q^{2}-q^{3}+2q^{4}-2q^{6}-q^{7}+q^{9}+\cdots$$
2775.2.a.j $1$ $22.158$ $$\Q$$ None None $$2$$ $$-1$$ $$0$$ $$0$$ $+$ $$q+2q^{2}-q^{3}+2q^{4}-2q^{6}+q^{9}-2q^{11}+\cdots$$
2775.2.a.k $2$ $22.158$ $$\Q(\sqrt{2})$$ None None $$-2$$ $$-2$$ $$0$$ $$-4$$ $+$ $$q+(-1+\beta )q^{2}-q^{3}+(1-2\beta )q^{4}+(1+\cdots)q^{6}+\cdots$$
2775.2.a.l $2$ $22.158$ $$\Q(\sqrt{13})$$ None None $$-1$$ $$-2$$ $$0$$ $$-2$$ $-$ $$q-\beta q^{2}-q^{3}+(1+\beta )q^{4}+\beta q^{6}-q^{7}+\cdots$$
2775.2.a.m $2$ $22.158$ $$\Q(\sqrt{5})$$ None None $$-1$$ $$2$$ $$0$$ $$0$$ $+$ $$q-\beta q^{2}+q^{3}+(-1+\beta )q^{4}-\beta q^{6}+\cdots$$
2775.2.a.n $2$ $22.158$ $$\Q(\sqrt{5})$$ None None $$1$$ $$-2$$ $$0$$ $$2$$ $+$ $$q+\beta q^{2}-q^{3}+(-1+\beta )q^{4}-\beta q^{6}+\cdots$$
2775.2.a.o $2$ $22.158$ $$\Q(\sqrt{13})$$ None None $$1$$ $$2$$ $$0$$ $$6$$ $-$ $$q+\beta q^{2}+q^{3}+(1+\beta )q^{4}+\beta q^{6}+3q^{7}+\cdots$$
2775.2.a.p $2$ $22.158$ $$\Q(\sqrt{2})$$ None None $$2$$ $$2$$ $$0$$ $$4$$ $-$ $$q+(1+\beta )q^{2}+q^{3}+(1+2\beta )q^{4}+(1+\beta )q^{6}+\cdots$$
2775.2.a.q $2$ $22.158$ $$\Q(\sqrt{5})$$ None None $$3$$ $$-2$$ $$0$$ $$4$$ $-$ $$q+(1+\beta )q^{2}-q^{3}+3\beta q^{4}+(-1-\beta )q^{6}+\cdots$$
2775.2.a.r $3$ $22.158$ 3.3.148.1 None None $$-3$$ $$3$$ $$0$$ $$4$$ $-$ $$q+(-1-\beta _{2})q^{2}+q^{3}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots$$
2775.2.a.s $3$ $22.158$ 3.3.229.1 None None $$-2$$ $$-3$$ $$0$$ $$4$$ $+$ $$q+(-1-\beta _{2})q^{2}-q^{3}+(2+\beta _{1})q^{4}+\cdots$$
2775.2.a.t $3$ $22.158$ 3.3.469.1 None None $$-1$$ $$3$$ $$0$$ $$-4$$ $+$ $$q-\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots$$
2775.2.a.u $3$ $22.158$ 3.3.257.1 None None $$0$$ $$-3$$ $$0$$ $$6$$ $-$ $$q-\beta _{2}q^{2}-q^{3}+(1+\beta _{1}-\beta _{2})q^{4}+\beta _{2}q^{6}+\cdots$$
2775.2.a.v $3$ $22.158$ 3.3.257.1 None None $$0$$ $$3$$ $$0$$ $$-6$$ $+$ $$q+\beta _{2}q^{2}+q^{3}+(1+\beta _{1}-\beta _{2})q^{4}+\beta _{2}q^{6}+\cdots$$
2775.2.a.w $4$ $22.158$ 4.4.4400.1 None None $$-2$$ $$-4$$ $$0$$ $$8$$ $+$ $$q+(-1-\beta _{2})q^{2}-q^{3}+\beta _{2}q^{4}+(1+\beta _{2}+\cdots)q^{6}+\cdots$$