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Label Dim. \(A\) Field Image CM RM Traces $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
3640.1.n.a \(1\) \(1.817\) \(\Q\) \(D_{2}\) \(\Q(\sqrt{-14}) \), \(\Q(\sqrt{-910}) \) \(\Q(\sqrt{65}) \) \(-1\) \(0\) \(-1\) \(1\) \(q-q^{2}+q^{4}-q^{5}+q^{7}-q^{8}+q^{9}+\cdots\)
3640.1.n.b \(1\) \(1.817\) \(\Q\) \(D_{2}\) \(\Q(\sqrt{-14}) \), \(\Q(\sqrt{-910}) \) \(\Q(\sqrt{65}) \) \(-1\) \(0\) \(1\) \(1\) \(q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}+q^{9}+\cdots\)
3640.1.n.c \(1\) \(1.817\) \(\Q\) \(D_{2}\) \(\Q(\sqrt{-14}) \), \(\Q(\sqrt{-910}) \) \(\Q(\sqrt{65}) \) \(1\) \(0\) \(-1\) \(-1\) \(q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}+q^{9}+\cdots\)
3640.1.n.d \(1\) \(1.817\) \(\Q\) \(D_{2}\) \(\Q(\sqrt{-14}) \), \(\Q(\sqrt{-910}) \) \(\Q(\sqrt{65}) \) \(1\) \(0\) \(1\) \(-1\) \(q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}+q^{9}+\cdots\)
3640.1.n.e \(2\) \(1.817\) \(\Q(\sqrt{-1}) \) \(D_{2}\) \(\Q(\sqrt{-14}) \), \(\Q(\sqrt{-455}) \) \(\Q(\sqrt{130}) \) \(-2\) \(0\) \(0\) \(2\) \(q-q^{2}-iq^{3}+q^{4}+iq^{5}+2iq^{6}+\cdots\)
3640.1.n.f \(2\) \(1.817\) \(\Q(\sqrt{-1}) \) \(D_{2}\) \(\Q(\sqrt{-14}) \), \(\Q(\sqrt{-455}) \) \(\Q(\sqrt{130}) \) \(2\) \(0\) \(0\) \(-2\) \(q+q^{2}-iq^{3}+q^{4}-iq^{5}-2iq^{6}+\cdots\)
3640.1.n.g \(8\) \(1.817\) \(\Q(\zeta_{20})\) \(D_{10}\) \(\Q(\sqrt{-455}) \) None \(-2\) \(0\) \(0\) \(-8\) \(q-\zeta_{20}^{2}q^{2}+(-\zeta_{20}-\zeta_{20}^{9})q^{3}+\zeta_{20}^{4}q^{4}+\cdots\)
3640.1.n.h \(8\) \(1.817\) \(\Q(\zeta_{20})\) \(D_{10}\) \(\Q(\sqrt{-455}) \) None \(2\) \(0\) \(0\) \(8\) \(q+\zeta_{20}^{2}q^{2}+(\zeta_{20}+\zeta_{20}^{9})q^{3}+\zeta_{20}^{4}q^{4}+\cdots\)
3640.1.bv.a \(4\) \(1.817\) \(\Q(\zeta_{8})\) \(D_{4}\) \(\Q(\sqrt{-26}) \) None \(0\) \(-4\) \(0\) \(0\) \(q+\zeta_{8}^{3}q^{2}+(-1+\zeta_{8}^{2})q^{3}-\zeta_{8}^{2}q^{4}+\cdots\)
3640.1.bv.b \(4\) \(1.817\) \(\Q(\zeta_{8})\) \(D_{4}\) \(\Q(\sqrt{-26}) \) None \(0\) \(4\) \(0\) \(0\) \(q+\zeta_{8}^{3}q^{2}+(1-\zeta_{8}^{2})q^{3}-\zeta_{8}^{2}q^{4}+\cdots\)
3640.1.bv.c \(8\) \(1.817\) \(\Q(\zeta_{24})\) \(D_{12}\) \(\Q(\sqrt{-26}) \) None \(0\) \(-4\) \(0\) \(0\) \(q-\zeta_{24}^{3}q^{2}+(-\zeta_{24}^{2}-\zeta_{24}^{4})q^{3}+\cdots\)
3640.1.bv.d \(8\) \(1.817\) \(\Q(\zeta_{24})\) \(D_{12}\) \(\Q(\sqrt{-26}) \) None \(0\) \(4\) \(0\) \(0\) \(q+\zeta_{24}^{3}q^{2}+(\zeta_{24}^{2}+\zeta_{24}^{4})q^{3}+\zeta_{24}^{6}q^{4}+\cdots\)
3640.1.cl.a \(2\) \(1.817\) \(\Q(\sqrt{-1}) \) \(D_{4}\) \(\Q(\sqrt{-14}) \) None \(-2\) \(-2\) \(-2\) \(0\) \(q-q^{2}+(-1+i)q^{3}+q^{4}-q^{5}+(1+\cdots)q^{6}+\cdots\)
3640.1.cl.b \(2\) \(1.817\) \(\Q(\sqrt{-1}) \) \(D_{4}\) \(\Q(\sqrt{-14}) \) None \(-2\) \(2\) \(2\) \(0\) \(q-q^{2}+(1-i)q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots\)
3640.1.cl.c \(2\) \(1.817\) \(\Q(\sqrt{-1}) \) \(D_{4}\) \(\Q(\sqrt{-14}) \) None \(2\) \(-2\) \(0\) \(0\) \(q+q^{2}+(-1+i)q^{3}+q^{4}-iq^{5}+(-1+\cdots)q^{6}+\cdots\)
3640.1.cl.d \(2\) \(1.817\) \(\Q(\sqrt{-1}) \) \(D_{4}\) \(\Q(\sqrt{-14}) \) None \(2\) \(2\) \(0\) \(0\) \(q+q^{2}+(1-i)q^{3}+q^{4}+iq^{5}+(1-i+\cdots)q^{6}+\cdots\)
3640.1.cl.e \(4\) \(1.817\) \(\Q(\zeta_{8})\) \(D_{4}\) \(\Q(\sqrt{-14}) \) None \(-4\) \(0\) \(0\) \(0\) \(q-q^{2}-\zeta_{8}q^{3}+q^{4}+\zeta_{8}q^{5}+2\zeta_{8}q^{6}+\cdots\)
3640.1.cl.f \(4\) \(1.817\) \(\Q(\zeta_{8})\) \(D_{4}\) \(\Q(\sqrt{-14}) \) None \(4\) \(0\) \(0\) \(0\) \(q+q^{2}+q^{4}-\zeta_{8}^{3}q^{5}-\zeta_{8}^{2}q^{7}+q^{8}+\cdots\)
3640.1.cm.a \(2\) \(1.817\) \(\Q(\sqrt{-1}) \) \(D_{4}\) \(\Q(\sqrt{-14}) \) None \(0\) \(-2\) \(0\) \(2\) \(q-iq^{2}+(-1+i)q^{3}-q^{4}-iq^{5}+\cdots\)
3640.1.cm.b \(2\) \(1.817\) \(\Q(\sqrt{-1}) \) \(D_{4}\) \(\Q(\sqrt{-14}) \) None \(0\) \(-2\) \(2\) \(-2\) \(q+iq^{2}+(-1+i)q^{3}-q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots\)
3640.1.cm.c \(2\) \(1.817\) \(\Q(\sqrt{-1}) \) \(D_{4}\) \(\Q(\sqrt{-14}) \) None \(0\) \(2\) \(-2\) \(-2\) \(q+iq^{2}+(1-i)q^{3}-q^{4}-q^{5}+(1+i+\cdots)q^{6}+\cdots\)
3640.1.cm.d \(2\) \(1.817\) \(\Q(\sqrt{-1}) \) \(D_{4}\) \(\Q(\sqrt{-14}) \) None \(0\) \(2\) \(0\) \(2\) \(q-iq^{2}+(1-i)q^{3}-q^{4}+iq^{5}+(-1+\cdots)q^{6}+\cdots\)
3640.1.cm.e \(4\) \(1.817\) \(\Q(\zeta_{8})\) \(D_{4}\) \(\Q(\sqrt{-14}) \) None \(0\) \(0\) \(0\) \(-4\) \(q+\zeta_{8}^{2}q^{2}-\zeta_{8}q^{3}-q^{4}-\zeta_{8}^{3}q^{5}+\cdots\)
3640.1.cm.f \(4\) \(1.817\) \(\Q(\zeta_{8})\) \(D_{4}\) \(\Q(\sqrt{-14}) \) None \(0\) \(0\) \(0\) \(4\) \(q-\zeta_{8}^{2}q^{2}-q^{4}-\zeta_{8}q^{5}+q^{7}+\zeta_{8}^{2}q^{8}+\cdots\)
3640.1.cy.a \(4\) \(1.817\) \(\Q(\zeta_{8})\) \(D_{4}\) \(\Q(\sqrt{-10}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}-\zeta_{8}q^{5}-\zeta_{8}^{3}q^{7}+\cdots\)
3640.1.cy.b \(4\) \(1.817\) \(\Q(\zeta_{8})\) \(D_{4}\) \(\Q(\sqrt{-10}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}+\zeta_{8}q^{5}+\zeta_{8}^{3}q^{7}+\cdots\)
3640.1.dk.a \(4\) \(1.817\) \(\Q(\zeta_{12})\) \(D_{6}\) \(\Q(\sqrt{-10}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}-\zeta_{12}^{5}q^{5}+\zeta_{12}^{5}q^{7}+\cdots\)
3640.1.dk.b \(4\) \(1.817\) \(\Q(\zeta_{12})\) \(D_{6}\) \(\Q(\sqrt{-10}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}-\zeta_{12}^{5}q^{5}-\zeta_{12}^{3}q^{7}+\cdots\)
3640.1.du.a \(2\) \(1.817\) \(\Q(\sqrt{-3}) \) \(D_{3}\) \(\Q(\sqrt{-10}) \) None \(-1\) \(0\) \(-1\) \(-1\) \(q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-\zeta_{6}q^{5}-\zeta_{6}q^{7}+\cdots\)
3640.1.du.b \(2\) \(1.817\) \(\Q(\sqrt{-3}) \) \(D_{3}\) \(\Q(\sqrt{-10}) \) None \(-1\) \(0\) \(-1\) \(2\) \(q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-\zeta_{6}q^{5}+q^{7}+q^{8}+\cdots\)
3640.1.du.c \(2\) \(1.817\) \(\Q(\sqrt{-3}) \) \(D_{3}\) \(\Q(\sqrt{-10}) \) None \(1\) \(0\) \(1\) \(-2\) \(q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+\zeta_{6}q^{5}-q^{7}-q^{8}+\cdots\)
3640.1.du.d \(2\) \(1.817\) \(\Q(\sqrt{-3}) \) \(D_{3}\) \(\Q(\sqrt{-10}) \) None \(1\) \(0\) \(1\) \(1\) \(q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+\zeta_{6}q^{5}+\zeta_{6}q^{7}+\cdots\)
3640.1.fq.a \(2\) \(1.817\) \(\Q(\sqrt{-3}) \) \(D_{3}\) \(\Q(\sqrt{-10}) \) None \(-2\) \(0\) \(1\) \(-2\) \(q-q^{2}+q^{4}+\zeta_{6}q^{5}-q^{7}-q^{8}+\zeta_{6}^{2}q^{9}+\cdots\)
3640.1.fq.b \(2\) \(1.817\) \(\Q(\sqrt{-3}) \) \(D_{3}\) \(\Q(\sqrt{-10}) \) None \(-2\) \(0\) \(1\) \(1\) \(q-q^{2}+q^{4}+\zeta_{6}q^{5}-\zeta_{6}^{2}q^{7}-q^{8}+\cdots\)
3640.1.fq.c \(2\) \(1.817\) \(\Q(\sqrt{-3}) \) \(D_{3}\) \(\Q(\sqrt{-10}) \) None \(2\) \(0\) \(-1\) \(-1\) \(q+q^{2}+q^{4}-\zeta_{6}q^{5}+\zeta_{6}^{2}q^{7}+q^{8}+\cdots\)
3640.1.fq.d \(2\) \(1.817\) \(\Q(\sqrt{-3}) \) \(D_{3}\) \(\Q(\sqrt{-10}) \) None \(2\) \(0\) \(-1\) \(2\) \(q+q^{2}+q^{4}-\zeta_{6}q^{5}+q^{7}+q^{8}+\zeta_{6}^{2}q^{9}+\cdots\)
3640.1.ga.a \(2\) \(1.817\) \(\Q(\sqrt{-3}) \) \(D_{6}\) \(\Q(\sqrt{-14}) \) None \(-1\) \(-3\) \(-1\) \(1\) \(q-\zeta_{6}q^{2}+(-1+\zeta_{6}^{2})q^{3}+\zeta_{6}^{2}q^{4}+\cdots\)
3640.1.ga.b \(2\) \(1.817\) \(\Q(\sqrt{-3}) \) \(D_{6}\) \(\Q(\sqrt{-14}) \) None \(-1\) \(3\) \(1\) \(1\) \(q-\zeta_{6}q^{2}+(1-\zeta_{6}^{2})q^{3}+\zeta_{6}^{2}q^{4}-\zeta_{6}^{2}q^{5}+\cdots\)
3640.1.ga.c \(2\) \(1.817\) \(\Q(\sqrt{-3}) \) \(D_{6}\) \(\Q(\sqrt{-14}) \) None \(1\) \(-3\) \(-1\) \(-1\) \(q+\zeta_{6}q^{2}+(-1+\zeta_{6}^{2})q^{3}+\zeta_{6}^{2}q^{4}+\cdots\)
3640.1.ga.d \(2\) \(1.817\) \(\Q(\sqrt{-3}) \) \(D_{6}\) \(\Q(\sqrt{-14}) \) None \(1\) \(3\) \(1\) \(-1\) \(q+\zeta_{6}q^{2}+(1-\zeta_{6}^{2})q^{3}+\zeta_{6}^{2}q^{4}+\zeta_{6}q^{5}+\cdots\)
3640.1.ga.e \(4\) \(1.817\) \(\Q(\zeta_{12})\) \(D_{6}\) \(\Q(\sqrt{-14}) \) None \(-2\) \(0\) \(0\) \(2\) \(q+\zeta_{12}^{4}q^{2}-\zeta_{12}q^{3}-\zeta_{12}^{2}q^{4}+\zeta_{12}q^{5}+\cdots\)
3640.1.ga.f \(4\) \(1.817\) \(\Q(\zeta_{12})\) \(D_{6}\) \(\Q(\sqrt{-14}) \) None \(2\) \(0\) \(0\) \(-2\) \(q-\zeta_{12}^{4}q^{2}-\zeta_{12}q^{3}-\zeta_{12}^{2}q^{4}-\zeta_{12}^{5}q^{5}+\cdots\)
3640.1.gq.a \(4\) \(1.817\) \(\Q(\zeta_{12})\) \(D_{6}\) \(\Q(\sqrt{-10}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}^{3}q^{2}-q^{4}+\zeta_{12}^{5}q^{5}-\zeta_{12}q^{7}+\cdots\)
3640.1.gq.b \(4\) \(1.817\) \(\Q(\zeta_{12})\) \(D_{6}\) \(\Q(\sqrt{-10}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}^{3}q^{2}-q^{4}-\zeta_{12}^{5}q^{5}-\zeta_{12}^{3}q^{7}+\cdots\)
3640.1.gu.a \(8\) \(1.817\) \(\Q(\zeta_{24})\) \(D_{12}\) \(\Q(\sqrt{-14}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{2}q^{2}+(\zeta_{24}^{7}-\zeta_{24}^{9})q^{3}+\zeta_{24}^{4}q^{4}+\cdots\)
3640.1.gu.b \(8\) \(1.817\) \(\Q(\zeta_{24})\) \(D_{12}\) \(\Q(\sqrt{-14}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{2}q^{2}+(\zeta_{24}+\zeta_{24}^{3})q^{3}+\zeta_{24}^{4}q^{4}+\cdots\)
3640.1.hd.a \(4\) \(1.817\) \(\Q(\zeta_{12})\) \(D_{6}\) \(\Q(\sqrt{-10}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}-\zeta_{12}q^{5}-\zeta_{12}^{3}q^{7}+\cdots\)
3640.1.hd.b \(4\) \(1.817\) \(\Q(\zeta_{12})\) \(D_{6}\) \(\Q(\sqrt{-10}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}-\zeta_{12}q^{5}-\zeta_{12}^{3}q^{7}+\cdots\)
3640.1.hd.c \(12\) \(1.817\) \(\Q(\zeta_{36})\) \(D_{18}\) \(\Q(\sqrt{-26}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{36}^{3}q^{2}+(-\zeta_{36}^{2}+\zeta_{36}^{10})q^{3}+\cdots\)
3640.1.hd.d \(12\) \(1.817\) \(\Q(\zeta_{36})\) \(D_{18}\) \(\Q(\sqrt{-26}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{36}^{15}q^{2}+(-\zeta_{36}^{2}-\zeta_{36}^{4})q^{3}+\cdots\)
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