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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
2541.1.h.a \(4\) \(1.268\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{8}^{2}q^{3}-q^{4}-\zeta_{8}q^{7}-q^{9}-\zeta_{8}^{2}q^{12}+\cdots\)
2541.1.k.a \(8\) \(1.268\) \(\Q(\zeta_{24})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{24}^{2}q^{3}-\zeta_{24}^{8}q^{4}-\zeta_{24}^{5}q^{7}+\cdots\)
2541.1.q.a \(2\) \(1.268\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(-1\) \(q-\zeta_{6}q^{3}-\zeta_{6}q^{4}-\zeta_{6}q^{7}+\zeta_{6}^{2}q^{9}+\cdots\)
2541.1.q.b \(2\) \(1.268\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(1\) \(q-\zeta_{6}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{7}+\zeta_{6}^{2}q^{9}+\cdots\)
2541.1.q.c \(4\) \(1.268\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(2\) \(0\) \(0\) \(q-\zeta_{12}^{4}q^{3}+\zeta_{12}^{4}q^{4}-\zeta_{12}q^{7}-\zeta_{12}^{2}q^{9}+\cdots\)
2541.1.r.a \(4\) \(1.268\) \(\Q(\zeta_{10})\) \(\Q(\sqrt{-231}) \) None \(-1\) \(-1\) \(1\) \(1\) \(q-\zeta_{10}q^{2}-\zeta_{10}^{3}q^{3}-\zeta_{10}^{4}q^{5}+\zeta_{10}^{4}q^{6}+\cdots\)
2541.1.r.b \(4\) \(1.268\) \(\Q(\zeta_{10})\) \(\Q(\sqrt{-231}) \) None \(-1\) \(1\) \(-1\) \(-1\) \(q-\zeta_{10}q^{2}+\zeta_{10}^{3}q^{3}+\zeta_{10}^{4}q^{5}-\zeta_{10}^{4}q^{6}+\cdots\)
2541.1.r.c \(4\) \(1.268\) \(\Q(\zeta_{10})\) \(\Q(\sqrt{-231}) \) None \(1\) \(-1\) \(1\) \(-1\) \(q+\zeta_{10}q^{2}-\zeta_{10}^{3}q^{3}-\zeta_{10}^{4}q^{5}-\zeta_{10}^{4}q^{6}+\cdots\)
2541.1.r.d \(4\) \(1.268\) \(\Q(\zeta_{10})\) \(\Q(\sqrt{-231}) \) None \(1\) \(1\) \(-1\) \(1\) \(q+\zeta_{10}q^{2}+\zeta_{10}^{3}q^{3}+\zeta_{10}^{4}q^{5}+\zeta_{10}^{4}q^{6}+\cdots\)
2541.1.r.e \(16\) \(1.268\) \(\Q(\zeta_{40})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{40}^{14}q^{3}-\zeta_{40}^{16}q^{4}-\zeta_{40}^{11}q^{7}+\cdots\)
2541.1.bh.a \(8\) \(1.268\) \(\Q(\zeta_{15})\) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(-1\) \(q+\zeta_{30}^{8}q^{3}+\zeta_{30}^{2}q^{4}-\zeta_{30}^{2}q^{7}+\cdots\)
2541.1.bh.b \(8\) \(1.268\) \(\Q(\zeta_{15})\) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(1\) \(q+\zeta_{30}^{8}q^{3}+\zeta_{30}^{2}q^{4}+\zeta_{30}^{2}q^{7}+\cdots\)
2541.1.bh.c \(16\) \(1.268\) \(\Q(\zeta_{60})\) \(\Q(\sqrt{-3}) \) None \(0\) \(-2\) \(0\) \(0\) \(q-\zeta_{60}^{28}q^{3}-\zeta_{60}^{22}q^{4}-\zeta_{60}^{7}q^{7}+\cdots\)
2541.1.bn.a \(32\) \(1.268\) \(\Q(\zeta_{120})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{120}^{22}q^{3}+\zeta_{120}^{28}q^{4}+\zeta_{120}^{43}q^{7}+\cdots\)
2541.2.a.a \(1\) \(20.290\) \(\Q\) None None \(-2\) \(-1\) \(-3\) \(1\) \(+\) \(q-2q^{2}-q^{3}+2q^{4}-3q^{5}+2q^{6}+\cdots\)
2541.2.a.b \(1\) \(20.290\) \(\Q\) None None \(-2\) \(-1\) \(1\) \(-1\) \(-\) \(q-2q^{2}-q^{3}+2q^{4}+q^{5}+2q^{6}-q^{7}+\cdots\)
2541.2.a.c \(1\) \(20.290\) \(\Q\) None None \(-1\) \(-1\) \(-3\) \(-1\) \(-\) \(q-q^{2}-q^{3}-q^{4}-3q^{5}+q^{6}-q^{7}+\cdots\)
2541.2.a.d \(1\) \(20.290\) \(\Q\) None None \(-1\) \(-1\) \(1\) \(1\) \(+\) \(q-q^{2}-q^{3}-q^{4}+q^{5}+q^{6}+q^{7}+\cdots\)
2541.2.a.e \(1\) \(20.290\) \(\Q\) None None \(0\) \(1\) \(-3\) \(-1\) \(+\) \(q+q^{3}-2q^{4}-3q^{5}-q^{7}+q^{9}-2q^{12}+\cdots\)
2541.2.a.f \(1\) \(20.290\) \(\Q\) None None \(0\) \(1\) \(-3\) \(1\) \(-\) \(q+q^{3}-2q^{4}-3q^{5}+q^{7}+q^{9}-2q^{12}+\cdots\)
2541.2.a.g \(1\) \(20.290\) \(\Q\) None None \(1\) \(-1\) \(-3\) \(1\) \(+\) \(q+q^{2}-q^{3}-q^{4}-3q^{5}-q^{6}+q^{7}+\cdots\)
2541.2.a.h \(1\) \(20.290\) \(\Q\) None None \(1\) \(-1\) \(-2\) \(-1\) \(-\) \(q+q^{2}-q^{3}-q^{4}-2q^{5}-q^{6}-q^{7}+\cdots\)
2541.2.a.i \(1\) \(20.290\) \(\Q\) None None \(1\) \(-1\) \(1\) \(-1\) \(-\) \(q+q^{2}-q^{3}-q^{4}+q^{5}-q^{6}-q^{7}+\cdots\)
2541.2.a.j \(1\) \(20.290\) \(\Q\) None None \(1\) \(1\) \(-2\) \(1\) \(-\) \(q+q^{2}+q^{3}-q^{4}-2q^{5}+q^{6}+q^{7}+\cdots\)
2541.2.a.k \(1\) \(20.290\) \(\Q\) None None \(2\) \(-1\) \(-3\) \(-1\) \(-\) \(q+2q^{2}-q^{3}+2q^{4}-3q^{5}-2q^{6}+\cdots\)
2541.2.a.l \(1\) \(20.290\) \(\Q\) None None \(2\) \(-1\) \(1\) \(1\) \(+\) \(q+2q^{2}-q^{3}+2q^{4}+q^{5}-2q^{6}+q^{7}+\cdots\)
2541.2.a.m \(2\) \(20.290\) \(\Q(\sqrt{5}) \) None None \(-3\) \(-2\) \(1\) \(-2\) \(-\) \(q+(-1-\beta )q^{2}-q^{3}+3\beta q^{4}+\beta q^{5}+\cdots\)
2541.2.a.n \(2\) \(20.290\) \(\Q(\sqrt{5}) \) None None \(-2\) \(-2\) \(1\) \(2\) \(-\) \(q-q^{2}-q^{3}-q^{4}+(2-3\beta )q^{5}+q^{6}+\cdots\)
2541.2.a.o \(2\) \(20.290\) \(\Q(\sqrt{3}) \) None None \(-2\) \(-2\) \(-4\) \(2\) \(+\) \(q+(-1+\beta )q^{2}-q^{3}+(2-2\beta )q^{4}+(-2+\cdots)q^{5}+\cdots\)
2541.2.a.p \(2\) \(20.290\) \(\Q(\sqrt{5}) \) None None \(-1\) \(-2\) \(-1\) \(-2\) \(+\) \(q-\beta q^{2}-q^{3}+(-1+\beta )q^{4}+(-1+\beta )q^{5}+\cdots\)
2541.2.a.q \(2\) \(20.290\) \(\Q(\sqrt{5}) \) None None \(-1\) \(-2\) \(0\) \(-2\) \(+\) \(q-\beta q^{2}-q^{3}+(-1+\beta )q^{4}+(1-2\beta )q^{5}+\cdots\)
2541.2.a.r \(2\) \(20.290\) \(\Q(\sqrt{5}) \) None None \(-1\) \(2\) \(-4\) \(2\) \(+\) \(q-\beta q^{2}+q^{3}+(-1+\beta )q^{4}+(-1-2\beta )q^{5}+\cdots\)
2541.2.a.s \(2\) \(20.290\) \(\Q(\sqrt{5}) \) None None \(-1\) \(2\) \(-3\) \(-2\) \(+\) \(q-\beta q^{2}+q^{3}+(-1+\beta )q^{4}+(-1-\beta )q^{5}+\cdots\)
2541.2.a.t \(2\) \(20.290\) \(\Q(\sqrt{5}) \) None None \(-1\) \(2\) \(2\) \(-2\) \(+\) \(q-\beta q^{2}+q^{3}+(-1+\beta )q^{4}+q^{5}-\beta q^{6}+\cdots\)
2541.2.a.u \(2\) \(20.290\) \(\Q(\sqrt{17}) \) None None \(-1\) \(2\) \(2\) \(-2\) \(+\) \(q-\beta q^{2}+q^{3}+(2+\beta )q^{4}+q^{5}-\beta q^{6}+\cdots\)
2541.2.a.v \(2\) \(20.290\) \(\Q(\sqrt{5}) \) None None \(0\) \(-2\) \(1\) \(-2\) \(-\) \(q+(1-2\beta )q^{2}-q^{3}+3q^{4}+(1-\beta )q^{5}+\cdots\)
2541.2.a.w \(2\) \(20.290\) \(\Q(\sqrt{5}) \) None None \(0\) \(-2\) \(1\) \(2\) \(-\) \(q+(1-2\beta )q^{2}-q^{3}+3q^{4}+\beta q^{5}+(-1+\cdots)q^{6}+\cdots\)
2541.2.a.x \(2\) \(20.290\) \(\Q(\sqrt{5}) \) None None \(1\) \(-2\) \(-1\) \(2\) \(+\) \(q+\beta q^{2}-q^{3}+(-1+\beta )q^{4}+(-1+\beta )q^{5}+\cdots\)
2541.2.a.y \(2\) \(20.290\) \(\Q(\sqrt{5}) \) None None \(1\) \(-2\) \(0\) \(2\) \(-\) \(q+\beta q^{2}-q^{3}+(-1+\beta )q^{4}+(1-2\beta )q^{5}+\cdots\)
2541.2.a.z \(2\) \(20.290\) \(\Q(\sqrt{21}) \) None None \(1\) \(-2\) \(6\) \(-2\) \(-\) \(q+\beta q^{2}-q^{3}+(3+\beta )q^{4}+3q^{5}-\beta q^{6}+\cdots\)
2541.2.a.ba \(2\) \(20.290\) \(\Q(\sqrt{5}) \) None None \(1\) \(2\) \(-4\) \(-2\) \(-\) \(q+\beta q^{2}+q^{3}+(-1+\beta )q^{4}+(-1-2\beta )q^{5}+\cdots\)
2541.2.a.bb \(2\) \(20.290\) \(\Q(\sqrt{5}) \) None None \(1\) \(2\) \(-3\) \(2\) \(+\) \(q+\beta q^{2}+q^{3}+(-1+\beta )q^{4}+(-1-\beta )q^{5}+\cdots\)
2541.2.a.bc \(2\) \(20.290\) \(\Q(\sqrt{17}) \) None None \(1\) \(2\) \(2\) \(2\) \(-\) \(q+\beta q^{2}+q^{3}+(2+\beta )q^{4}+q^{5}+\beta q^{6}+\cdots\)
2541.2.a.bd \(2\) \(20.290\) \(\Q(\sqrt{5}) \) None None \(2\) \(-2\) \(1\) \(-2\) \(-\) \(q+q^{2}-q^{3}-q^{4}+(2-3\beta )q^{5}-q^{6}+\cdots\)
2541.2.a.be \(2\) \(20.290\) \(\Q(\sqrt{3}) \) None None \(2\) \(-2\) \(-4\) \(-2\) \(-\) \(q+(1+\beta )q^{2}-q^{3}+(2+2\beta )q^{4}+(-2+\cdots)q^{5}+\cdots\)
2541.2.a.bf \(2\) \(20.290\) \(\Q(\sqrt{5}) \) None None \(3\) \(-2\) \(1\) \(2\) \(-\) \(q+(1+\beta )q^{2}-q^{3}+3\beta q^{4}+\beta q^{5}+(-1+\cdots)q^{6}+\cdots\)
2541.2.a.bg \(3\) \(20.290\) 3.3.229.1 None None \(-2\) \(3\) \(4\) \(3\) \(-\) \(q+(-1-\beta _{2})q^{2}+q^{3}+(2+\beta _{1})q^{4}+\cdots\)
2541.2.a.bh \(3\) \(20.290\) 3.3.316.1 None None \(-1\) \(3\) \(1\) \(-3\) \(+\) \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(\beta _{1}-\beta _{2})q^{5}+\cdots\)
2541.2.a.bi \(3\) \(20.290\) 3.3.837.1 None None \(0\) \(-3\) \(0\) \(3\) \(+\) \(q-\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}+(\beta _{1}-\beta _{2})q^{5}+\cdots\)
2541.2.a.bj \(3\) \(20.290\) 3.3.316.1 None None \(1\) \(3\) \(1\) \(3\) \(-\) \(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(\beta _{1}-\beta _{2})q^{5}+\cdots\)
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