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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
3549.1.o.a \(2\) \(1.771\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-2\) \(q+iq^{3}-iq^{4}-q^{7}-q^{9}+q^{12}-q^{16}+\cdots\)
3549.1.o.b \(2\) \(1.771\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-iq^{3}-iq^{4}-iq^{7}-q^{9}-q^{12}+\cdots\)
3549.1.s.a \(2\) \(1.771\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(1\) \(q-\zeta_{6}q^{3}+q^{4}+\zeta_{6}q^{7}+\zeta_{6}^{2}q^{9}-\zeta_{6}q^{12}+\cdots\)
3549.1.s.b \(4\) \(1.771\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(0\) \(2\) \(q+\zeta_{12}^{3}q^{2}-\zeta_{12}q^{3}-\zeta_{12}q^{5}-\zeta_{12}^{4}q^{6}+\cdots\)
3549.1.s.c \(4\) \(1.771\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(2\) \(0\) \(0\) \(q-\zeta_{12}^{4}q^{3}+q^{4}-\zeta_{12}q^{7}-\zeta_{12}^{2}q^{9}+\cdots\)
3549.1.w.a \(2\) \(1.771\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(-2\) \(q-\zeta_{6}^{2}q^{3}-\zeta_{6}^{2}q^{4}-q^{7}-\zeta_{6}q^{9}+\cdots\)
3549.1.w.b \(2\) \(1.771\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(2\) \(q-\zeta_{6}^{2}q^{3}-\zeta_{6}^{2}q^{4}+q^{7}-\zeta_{6}q^{9}+\cdots\)
3549.1.w.c \(4\) \(1.771\) \(\Q(\zeta_{12})\) None None \(-2\) \(0\) \(-2\) \(0\) \(q+\zeta_{12}^{4}q^{2}+\zeta_{12}^{5}q^{3}+\zeta_{12}^{4}q^{5}+\cdots\)
3549.1.w.d \(4\) \(1.771\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(-2\) \(0\) \(0\) \(q-\zeta_{12}^{2}q^{3}+\zeta_{12}^{2}q^{4}-\zeta_{12}^{3}q^{7}+\cdots\)
3549.1.w.e \(4\) \(1.771\) \(\Q(\zeta_{12})\) None None \(2\) \(0\) \(2\) \(0\) \(q-\zeta_{12}^{4}q^{2}+\zeta_{12}^{5}q^{3}-\zeta_{12}^{4}q^{5}+\cdots\)
3549.1.x.a \(2\) \(1.771\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(-2\) \(0\) \(1\) \(q-q^{3}+\zeta_{6}q^{4}-\zeta_{6}^{2}q^{7}+q^{9}-\zeta_{6}q^{12}+\cdots\)
3549.1.x.b \(4\) \(1.771\) \(\Q(\zeta_{12})\) None None \(-2\) \(0\) \(-2\) \(0\) \(q-\zeta_{12}^{2}q^{2}-\zeta_{12}^{3}q^{3}+\zeta_{12}^{4}q^{5}+\cdots\)
3549.1.x.c \(4\) \(1.771\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(4\) \(0\) \(0\) \(q+q^{3}-\zeta_{12}^{4}q^{4}+\zeta_{12}^{5}q^{7}+q^{9}+\cdots\)
3549.1.x.d \(4\) \(1.771\) \(\Q(\zeta_{12})\) None None \(2\) \(0\) \(2\) \(0\) \(q+\zeta_{12}^{2}q^{2}-\zeta_{12}^{3}q^{3}-\zeta_{12}^{4}q^{5}+\cdots\)
3549.1.bk.a \(2\) \(1.771\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(-2\) \(q+\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}-q^{7}-\zeta_{6}q^{9}+\cdots\)
3549.1.bk.b \(2\) \(1.771\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(2\) \(q+\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}+q^{7}-\zeta_{6}q^{9}+\cdots\)
3549.1.bk.c \(4\) \(1.771\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(0\) \(2\) \(q-\zeta_{12}q^{2}-\zeta_{12}^{5}q^{3}-\zeta_{12}q^{5}-q^{6}+\cdots\)
3549.1.bk.d \(4\) \(1.771\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(0\) \(-2\) \(q+\zeta_{12}q^{2}-\zeta_{12}^{5}q^{3}+\zeta_{12}q^{5}+q^{6}+\cdots\)
3549.1.bk.e \(4\) \(1.771\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(2\) \(0\) \(0\) \(q+\zeta_{12}^{2}q^{3}-\zeta_{12}^{2}q^{4}-\zeta_{12}^{3}q^{7}+\cdots\)
3549.1.bm.a \(2\) \(1.771\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(2\) \(0\) \(1\) \(q+q^{3}-\zeta_{6}q^{4}-\zeta_{6}^{2}q^{7}+q^{9}-\zeta_{6}q^{12}+\cdots\)
3549.1.bm.b \(4\) \(1.771\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(-4\) \(0\) \(0\) \(q-q^{3}+\zeta_{12}^{4}q^{4}+\zeta_{12}^{5}q^{7}+q^{9}+\cdots\)
3549.1.bm.c \(4\) \(1.771\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(0\) \(-4\) \(q+\zeta_{12}^{5}q^{2}-\zeta_{12}^{3}q^{3}+\zeta_{12}q^{5}+\zeta_{12}^{2}q^{6}+\cdots\)
3549.1.bp.a \(2\) \(1.771\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(-1\) \(q+\zeta_{6}q^{3}-q^{4}-\zeta_{6}q^{7}+\zeta_{6}^{2}q^{9}-\zeta_{6}q^{12}+\cdots\)
3549.1.bp.b \(4\) \(1.771\) \(\Q(\zeta_{12})\) None None \(-4\) \(0\) \(2\) \(0\) \(q-q^{2}-\zeta_{12}q^{3}-\zeta_{12}^{4}q^{5}+\zeta_{12}q^{6}+\cdots\)
3549.1.bp.c \(4\) \(1.771\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(-2\) \(0\) \(0\) \(q+\zeta_{12}^{4}q^{3}-q^{4}-\zeta_{12}q^{7}-\zeta_{12}^{2}q^{9}+\cdots\)
3549.1.bp.d \(4\) \(1.771\) \(\Q(\zeta_{12})\) None None \(4\) \(0\) \(-2\) \(0\) \(q+q^{2}-\zeta_{12}q^{3}+\zeta_{12}^{4}q^{5}-\zeta_{12}q^{6}+\cdots\)
3549.1.bs.a \(4\) \(1.771\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-2\) \(q-\zeta_{12}q^{3}-\zeta_{12}^{3}q^{4}+\zeta_{12}^{4}q^{7}+\zeta_{12}^{2}q^{9}+\cdots\)
3549.1.bs.b \(4\) \(1.771\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}q^{3}-\zeta_{12}^{3}q^{4}+\zeta_{12}q^{7}+\zeta_{12}^{2}q^{9}+\cdots\)
3549.1.bs.c \(4\) \(1.771\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(2\) \(q-\zeta_{12}q^{3}-\zeta_{12}^{3}q^{4}-\zeta_{12}^{4}q^{7}+\zeta_{12}^{2}q^{9}+\cdots\)
3549.1.ca.a \(4\) \(1.771\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-2\) \(q+\zeta_{12}q^{3}-\zeta_{12}^{5}q^{4}-\zeta_{12}^{2}q^{7}+\zeta_{12}^{2}q^{9}+\cdots\)
3549.1.ca.b \(4\) \(1.771\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}q^{3}-\zeta_{12}^{5}q^{4}+\zeta_{12}^{5}q^{7}+\zeta_{12}^{2}q^{9}+\cdots\)
3549.1.ca.c \(4\) \(1.771\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}q^{3}-\zeta_{12}^{5}q^{4}-\zeta_{12}^{5}q^{7}+\zeta_{12}^{2}q^{9}+\cdots\)
3549.1.ca.d \(4\) \(1.771\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(2\) \(q+\zeta_{12}q^{3}-\zeta_{12}^{5}q^{4}+\zeta_{12}^{2}q^{7}+\zeta_{12}^{2}q^{9}+\cdots\)
3549.1.cb.a \(4\) \(1.771\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-4\) \(q-\zeta_{12}q^{3}+\zeta_{12}q^{4}-q^{7}+\zeta_{12}^{2}q^{9}+\cdots\)
3549.1.cb.b \(4\) \(1.771\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}q^{3}+\zeta_{12}q^{4}-\zeta_{12}^{3}q^{7}+\zeta_{12}^{2}q^{9}+\cdots\)
3549.1.cb.c \(4\) \(1.771\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}q^{3}+\zeta_{12}q^{4}+\zeta_{12}^{3}q^{7}+\zeta_{12}^{2}q^{9}+\cdots\)
3549.1.cb.d \(4\) \(1.771\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(4\) \(q-\zeta_{12}q^{3}+\zeta_{12}q^{4}+q^{7}+\zeta_{12}^{2}q^{9}+\cdots\)
3549.1.ch.a \(4\) \(1.771\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}^{3}q^{3}-\zeta_{12}^{5}q^{4}+\zeta_{12}q^{7}-q^{9}+\cdots\)
3549.1.ch.b \(4\) \(1.771\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}^{3}q^{3}-\zeta_{12}^{5}q^{4}-\zeta_{12}q^{7}-q^{9}+\cdots\)
3549.1.ch.c \(4\) \(1.771\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(2\) \(q-\zeta_{12}^{3}q^{3}-\zeta_{12}^{5}q^{4}-\zeta_{12}^{4}q^{7}+\cdots\)
3549.1.cv.a \(24\) \(1.771\) \(\Q(\zeta_{52})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-2\) \(q-\zeta_{52}^{11}q^{3}-\zeta_{52}^{5}q^{4}+\zeta_{52}^{12}q^{7}+\cdots\)
3549.1.cv.b \(24\) \(1.771\) \(\Q(\zeta_{52})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{52}^{11}q^{3}-\zeta_{52}^{5}q^{4}-\zeta_{52}^{3}q^{7}+\cdots\)
3549.1.da.a \(24\) \(1.771\) \(\Q(\zeta_{39})\) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(-1\) \(q-\zeta_{78}^{20}q^{3}+\zeta_{78}^{15}q^{4}+\zeta_{78}^{35}q^{7}+\cdots\)
3549.1.dd.a \(24\) \(1.771\) \(\Q(\zeta_{39})\) \(\Q(\sqrt{-3}) \) None \(0\) \(-2\) \(0\) \(1\) \(q+\zeta_{78}^{18}q^{3}+\zeta_{78}^{20}q^{4}+\zeta_{78}^{22}q^{7}+\cdots\)
3549.1.ds.a \(24\) \(1.771\) \(\Q(\zeta_{39})\) \(\Q(\sqrt{-3}) \) None \(0\) \(2\) \(0\) \(1\) \(q+\zeta_{78}^{15}q^{3}-\zeta_{78}^{8}q^{4}-\zeta_{78}q^{7}+\cdots\)
3549.1.dx.a \(24\) \(1.771\) \(\Q(\zeta_{39})\) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(1\) \(q+\zeta_{78}^{20}q^{3}-\zeta_{78}^{15}q^{4}-\zeta_{78}^{35}q^{7}+\cdots\)
3549.1.ea.a \(48\) \(1.771\) \(\Q(\zeta_{156})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(2\) \(q-\zeta_{156}^{3}q^{3}-\zeta_{156}^{77}q^{4}-\zeta_{156}^{34}q^{7}+\cdots\)
3549.1.ep.a \(48\) \(1.771\) \(\Q(\zeta_{156})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{156}^{55}q^{3}-\zeta_{156}^{51}q^{4}+\zeta_{156}^{67}q^{7}+\cdots\)
3549.2.a.a \(1\) \(28.339\) \(\Q\) None None \(-2\) \(1\) \(-3\) \(-1\) \(+\) \(q-2q^{2}+q^{3}+2q^{4}-3q^{5}-2q^{6}+\cdots\)
3549.2.a.b \(1\) \(28.339\) \(\Q\) None None \(-2\) \(1\) \(-1\) \(1\) \(+\) \(q-2q^{2}+q^{3}+2q^{4}-q^{5}-2q^{6}+q^{7}+\cdots\)
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