## Results (1-50 of 72 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
3332.1.g.a $1$ $1.663$ $$\Q$$ $$\Q(\sqrt{-1})$$, $$\Q(\sqrt{-17})$$ $$\Q(\sqrt{17})$$ $$-1$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}+q^{4}-q^{8}-q^{9}+2q^{13}+q^{16}+\cdots$$
3332.1.g.b $1$ $1.663$ $$\Q$$ $$\Q(\sqrt{-17})$$ None $$1$$ $$-1$$ $$0$$ $$0$$ $$q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}-q^{11}+\cdots$$
3332.1.g.c $1$ $1.663$ $$\Q$$ $$\Q(\sqrt{-17})$$ None $$1$$ $$-1$$ $$0$$ $$0$$ $$q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{11}+\cdots$$
3332.1.g.d $1$ $1.663$ $$\Q$$ $$\Q(\sqrt{-17})$$ None $$1$$ $$1$$ $$0$$ $$0$$ $$q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}-q^{11}+\cdots$$
3332.1.g.e $1$ $1.663$ $$\Q$$ $$\Q(\sqrt{-17})$$ None $$1$$ $$1$$ $$0$$ $$0$$ $$q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{11}+\cdots$$
3332.1.g.f $2$ $1.663$ $$\Q(\sqrt{3})$$ $$\Q(\sqrt{-17})$$ None $$-2$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}-\beta q^{3}+q^{4}+\beta q^{6}-q^{8}+2q^{9}+\cdots$$
3332.1.g.g $2$ $1.663$ $$\Q(\sqrt{3})$$ $$\Q(\sqrt{-17})$$ None $$-2$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}+\beta q^{3}+q^{4}-\beta q^{6}-q^{8}+2q^{9}+\cdots$$
3332.1.g.h $2$ $1.663$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-1})$$, $$\Q(\sqrt{-119})$$ $$\Q(\sqrt{119})$$ $$2$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}+q^{4}-iq^{5}+q^{8}-q^{9}-2iq^{10}+\cdots$$
3332.1.g.i $8$ $1.663$ $$\Q(\zeta_{20})$$ $$\Q(\sqrt{-119})$$ None $$-2$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{20}^{6}q^{2}+(\zeta_{20}-\zeta_{20}^{9})q^{3}-\zeta_{20}^{2}q^{4}+\cdots$$
3332.1.m.a $2$ $1.663$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-2$$ $$0$$ $$q-iq^{2}-q^{4}+(-1-i)q^{5}+iq^{8}+\cdots$$
3332.1.m.b $2$ $1.663$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$q+iq^{2}-q^{4}+(1+i)q^{5}-iq^{8}+iq^{9}+\cdots$$
3332.1.m.c $2$ $1.663$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$q-iq^{2}-q^{4}+(1+i)q^{5}+iq^{8}+iq^{9}+\cdots$$
3332.1.o.a $2$ $1.663$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-17})$$ None $$-1$$ $$-1$$ $$0$$ $$0$$ $$q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{3}-\zeta_{6}q^{4}+q^{6}+q^{8}+\cdots$$
3332.1.o.b $2$ $1.663$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-17})$$ None $$-1$$ $$1$$ $$0$$ $$0$$ $$q+\zeta_{6}^{2}q^{2}+\zeta_{6}q^{3}-\zeta_{6}q^{4}-q^{6}+q^{8}+\cdots$$
3332.1.o.c $2$ $1.663$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-1})$$, $$\Q(\sqrt{-17})$$ $$\Q(\sqrt{17})$$ $$1$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-q^{8}-\zeta_{6}^{2}q^{9}+\cdots$$
3332.1.o.d $2$ $1.663$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-1})$$, $$\Q(\sqrt{-17})$$ $$\Q(\sqrt{17})$$ $$1$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-q^{8}-\zeta_{6}^{2}q^{9}+\cdots$$
3332.1.o.e $4$ $1.663$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-1})$$, $$\Q(\sqrt{-119})$$ $$\Q(\sqrt{119})$$ $$-2$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}^{2}q^{2}+\zeta_{12}^{4}q^{4}+\zeta_{12}^{5}q^{5}+\cdots$$
3332.1.o.f $4$ $1.663$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-17})$$ None $$2$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{2}q^{2}+(-\zeta_{12}^{3}-\zeta_{12}^{5})q^{3}+\cdots$$
3332.1.o.g $16$ $1.663$ $$\Q(\zeta_{60})$$ $$\Q(\sqrt{-119})$$ None $$2$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{60}^{4}q^{2}+(-\zeta_{60}^{11}-\zeta_{60}^{29})q^{3}+\cdots$$
3332.1.w.a $4$ $1.663$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-4$$ $$0$$ $$q-\zeta_{8}q^{2}+\zeta_{8}^{2}q^{4}+(-1-\zeta_{8}^{3})q^{5}+\cdots$$
3332.1.w.b $4$ $1.663$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}q^{2}+\zeta_{8}^{2}q^{4}+(\zeta_{8}+\zeta_{8}^{2})q^{5}+\cdots$$
3332.1.w.c $4$ $1.663$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}q^{2}+\zeta_{8}^{2}q^{4}+(-\zeta_{8}-\zeta_{8}^{2})q^{5}+\cdots$$
3332.1.w.d $4$ $1.663$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$4$$ $$0$$ $$q-\zeta_{8}q^{2}+\zeta_{8}^{2}q^{4}+(1+\zeta_{8}^{3})q^{5}-\zeta_{8}^{3}q^{8}+\cdots$$
3332.1.bc.a $4$ $1.663$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+(-\zeta_{12}+\zeta_{12}^{4}+\cdots)q^{5}+\cdots$$
3332.1.bc.b $4$ $1.663$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-2$$ $$0$$ $$q-\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+(-\zeta_{12}+\zeta_{12}^{4}+\cdots)q^{5}+\cdots$$
3332.1.bc.c $4$ $1.663$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$q-\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+(\zeta_{12}-\zeta_{12}^{4}+\cdots)q^{5}+\cdots$$
3332.1.bc.d $4$ $1.663$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+(\zeta_{12}-\zeta_{12}^{4}+\cdots)q^{5}+\cdots$$
3332.1.be.a $6$ $1.663$ $$\Q(\zeta_{14})$$ $$\Q(\sqrt{-17})$$ None $$-1$$ $$-5$$ $$0$$ $$1$$ $$q+\zeta_{14}^{4}q^{2}+(-1+\zeta_{14}^{3})q^{3}-\zeta_{14}q^{4}+\cdots$$
3332.1.be.b $6$ $1.663$ $$\Q(\zeta_{14})$$ $$\Q(\sqrt{-17})$$ None $$-1$$ $$5$$ $$0$$ $$-1$$ $$q+\zeta_{14}^{4}q^{2}+(1-\zeta_{14}^{3})q^{3}-\zeta_{14}q^{4}+\cdots$$
3332.1.be.c $12$ $1.663$ $$\Q(\zeta_{28})$$ $$\Q(\sqrt{-17})$$ None $$2$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{28}^{8}q^{2}+(\zeta_{28}^{7}+\zeta_{28}^{13})q^{3}-\zeta_{28}^{2}q^{4}+\cdots$$
3332.1.bn.a $8$ $1.663$ $$\Q(\zeta_{16})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{16}^{5}q^{2}-\zeta_{16}^{2}q^{4}+(-\zeta_{16}^{2}+\zeta_{16}^{5}+\cdots)q^{5}+\cdots$$
3332.1.bn.b $8$ $1.663$ $$\Q(\zeta_{16})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{16}^{5}q^{2}-\zeta_{16}^{2}q^{4}+(-\zeta_{16}+\zeta_{16}^{6}+\cdots)q^{5}+\cdots$$
3332.1.bn.c $8$ $1.663$ $$\Q(\zeta_{16})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{16}^{5}q^{2}-\zeta_{16}^{2}q^{4}+(\zeta_{16}^{2}-\zeta_{16}^{5}+\cdots)q^{5}+\cdots$$
3332.1.bn.d $8$ $1.663$ $$\Q(\zeta_{16})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{16}^{5}q^{2}-\zeta_{16}^{2}q^{4}+(\zeta_{16}-\zeta_{16}^{6}+\cdots)q^{5}+\cdots$$
3332.1.bp.a $8$ $1.663$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-4$$ $$0$$ $$q+\zeta_{24}^{7}q^{2}-\zeta_{24}^{2}q^{4}+(\zeta_{24}-\zeta_{24}^{4}+\cdots)q^{5}+\cdots$$
3332.1.bp.b $8$ $1.663$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{7}q^{2}-\zeta_{24}^{2}q^{4}+(-\zeta_{24}^{7}-\zeta_{24}^{10}+\cdots)q^{5}+\cdots$$
3332.1.bp.c $8$ $1.663$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{7}q^{2}-\zeta_{24}^{2}q^{4}+(\zeta_{24}^{7}+\zeta_{24}^{10}+\cdots)q^{5}+\cdots$$
3332.1.bp.d $8$ $1.663$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$4$$ $$0$$ $$q+\zeta_{24}^{7}q^{2}-\zeta_{24}^{2}q^{4}+(-\zeta_{24}+\zeta_{24}^{4}+\cdots)q^{5}+\cdots$$
3332.1.cc.a $12$ $1.663$ $$\Q(\zeta_{21})$$ $$\Q(\sqrt{-17})$$ None $$1$$ $$-13$$ $$0$$ $$2$$ $$q-\zeta_{42}^{17}q^{2}+(-1+\zeta_{42}^{11})q^{3}-\zeta_{42}^{13}q^{4}+\cdots$$
3332.1.cc.b $12$ $1.663$ $$\Q(\zeta_{21})$$ $$\Q(\sqrt{-17})$$ None $$1$$ $$13$$ $$0$$ $$-2$$ $$q-\zeta_{42}^{17}q^{2}+(1-\zeta_{42}^{11})q^{3}-\zeta_{42}^{13}q^{4}+\cdots$$
3332.1.cc.c $24$ $1.663$ $$\Q(\zeta_{84})$$ $$\Q(\sqrt{-17})$$ None $$-2$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{84}^{40}q^{2}+(\zeta_{84}^{21}-\zeta_{84}^{37})q^{3}+\cdots$$
3332.1.ce.a $16$ $1.663$ $$\Q(\zeta_{48})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{48}q^{2}+\zeta_{48}^{2}q^{4}+(\zeta_{48}^{13}-\zeta_{48}^{22}+\cdots)q^{5}+\cdots$$
3332.1.ce.b $16$ $1.663$ $$\Q(\zeta_{48})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{48}q^{2}+\zeta_{48}^{2}q^{4}+(-\zeta_{48}-\zeta_{48}^{10}+\cdots)q^{5}+\cdots$$
3332.1.ce.c $16$ $1.663$ $$\Q(\zeta_{48})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{48}q^{2}+\zeta_{48}^{2}q^{4}+(-\zeta_{48}^{13}+\zeta_{48}^{22}+\cdots)q^{5}+\cdots$$
3332.1.ce.d $16$ $1.663$ $$\Q(\zeta_{48})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{48}q^{2}+\zeta_{48}^{2}q^{4}+(\zeta_{48}+\zeta_{48}^{10}+\cdots)q^{5}+\cdots$$
3332.2.a.a $1$ $26.606$ $$\Q$$ None None $$0$$ $$-3$$ $$4$$ $$0$$ $-$ $$q-3q^{3}+4q^{5}+6q^{9}+q^{11}+3q^{13}+\cdots$$
3332.2.a.b $1$ $26.606$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$0$$ $-$ $$q-q^{3}-2q^{9}-5q^{11}-5q^{13}-q^{17}+\cdots$$
3332.2.a.c $1$ $26.606$ $$\Q$$ None None $$0$$ $$-1$$ $$4$$ $$0$$ $-$ $$q-q^{3}+4q^{5}-2q^{9}-3q^{11}+5q^{13}+\cdots$$
3332.2.a.d $1$ $26.606$ $$\Q$$ None None $$0$$ $$1$$ $$-4$$ $$0$$ $-$ $$q+q^{3}-4q^{5}-2q^{9}-3q^{11}-5q^{13}+\cdots$$
3332.2.a.e $1$ $26.606$ $$\Q$$ None None $$0$$ $$1$$ $$0$$ $$0$$ $-$ $$q+q^{3}-2q^{9}-5q^{11}+5q^{13}+q^{17}+\cdots$$