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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
2601.1.b.a \(2\) \(1.298\) \(\Q(\sqrt{-2}) \) None None \(0\) \(0\) \(0\) \(-2\) \(q-\beta q^{2}-q^{4}-\beta q^{5}-q^{7}-2q^{10}+\cdots\)
2601.1.b.b \(2\) \(1.298\) \(\Q(\sqrt{-2}) \) None None \(0\) \(0\) \(0\) \(2\) \(q+\beta q^{2}-q^{4}-\beta q^{5}+q^{7}+2q^{10}+\cdots\)
2601.1.c.a \(4\) \(1.298\) \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{8}-\zeta_{8}^{3})q^{2}-q^{4}+(-\zeta_{8}+\zeta_{8}^{3}+\cdots)q^{5}+\cdots\)
2601.1.g.a \(4\) \(1.298\) \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(-4\) \(0\) \(q+(\zeta_{8}-\zeta_{8}^{3})q^{2}+q^{4}+(-1+\zeta_{8}^{2}+\cdots)q^{5}+\cdots\)
2601.1.g.b \(4\) \(1.298\) \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(4\) \(0\) \(q+(\zeta_{8}-\zeta_{8}^{3})q^{2}+q^{4}+(1-\zeta_{8}^{2})q^{5}+\cdots\)
2601.1.k.a \(8\) \(1.298\) \(\Q(\zeta_{16})\) None None \(-8\) \(0\) \(0\) \(0\) \(q+(-1+\zeta_{16}^{4})q^{2}-\zeta_{16}^{4}q^{4}+(\zeta_{16}+\cdots)q^{5}+\cdots\)
2601.1.k.b \(8\) \(1.298\) \(\Q(\zeta_{16})\) None None \(8\) \(0\) \(0\) \(0\) \(q+(1-\zeta_{16}^{4})q^{2}-\zeta_{16}^{4}q^{4}+(\zeta_{16}-\zeta_{16}^{5}+\cdots)q^{5}+\cdots\)
2601.1.p.a \(8\) \(1.298\) \(\Q(\zeta_{16})\) \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-51}) \) \(\Q(\sqrt{17}) \) \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{16}^{6}q^{4}-\zeta_{16}^{2}q^{13}-\zeta_{16}^{4}q^{16}+\cdots\)
2601.1.p.b \(16\) \(1.298\) 16.0.\(\cdots\).2 \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{12}q^{4}+\beta _{3}q^{7}+\beta _{4}q^{13}-\beta _{8}q^{16}+\cdots\)
2601.1.x.a \(32\) \(1.298\) \(\Q(\zeta_{96})\) None None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{96}^{38}q^{2}-\zeta_{96}^{21}q^{3}+\zeta_{96}^{25}q^{5}+\cdots\)
2601.2.a.a \(1\) \(20.769\) \(\Q\) None None \(-2\) \(0\) \(-3\) \(-2\) \(-\) \(q-2q^{2}+2q^{4}-3q^{5}-2q^{7}+6q^{10}+\cdots\)
2601.2.a.b \(1\) \(20.769\) \(\Q\) None None \(-2\) \(0\) \(1\) \(2\) \(+\) \(q-2q^{2}+2q^{4}+q^{5}+2q^{7}-2q^{10}+\cdots\)
2601.2.a.c \(1\) \(20.769\) \(\Q\) None None \(-2\) \(0\) \(3\) \(2\) \(-\) \(q-2q^{2}+2q^{4}+3q^{5}+2q^{7}-6q^{10}+\cdots\)
2601.2.a.d \(1\) \(20.769\) \(\Q\) None None \(-1\) \(0\) \(-2\) \(1\) \(-\) \(q-q^{2}-q^{4}-2q^{5}+q^{7}+3q^{8}+2q^{10}+\cdots\)
2601.2.a.e \(1\) \(20.769\) \(\Q\) None None \(-1\) \(0\) \(2\) \(-1\) \(+\) \(q-q^{2}-q^{4}+2q^{5}-q^{7}+3q^{8}-2q^{10}+\cdots\)
2601.2.a.f \(1\) \(20.769\) \(\Q\) None None \(0\) \(0\) \(3\) \(4\) \(-\) \(q-2q^{4}+3q^{5}+4q^{7}-3q^{11}-q^{13}+\cdots\)
2601.2.a.g \(1\) \(20.769\) \(\Q\) None None \(1\) \(0\) \(-2\) \(-4\) \(-\) \(q+q^{2}-q^{4}-2q^{5}-4q^{7}-3q^{8}-2q^{10}+\cdots\)
2601.2.a.h \(1\) \(20.769\) \(\Q\) None None \(1\) \(0\) \(-2\) \(-1\) \(+\) \(q+q^{2}-q^{4}-2q^{5}-q^{7}-3q^{8}-2q^{10}+\cdots\)
2601.2.a.i \(1\) \(20.769\) \(\Q\) None None \(1\) \(0\) \(0\) \(-4\) \(-\) \(q+q^{2}-q^{4}-4q^{7}-3q^{8}-4q^{11}+\cdots\)
2601.2.a.j \(1\) \(20.769\) \(\Q\) None None \(1\) \(0\) \(0\) \(4\) \(-\) \(q+q^{2}-q^{4}+4q^{7}-3q^{8}+4q^{11}+\cdots\)
2601.2.a.k \(1\) \(20.769\) \(\Q\) None None \(1\) \(0\) \(2\) \(1\) \(-\) \(q+q^{2}-q^{4}+2q^{5}+q^{7}-3q^{8}+2q^{10}+\cdots\)
2601.2.a.l \(1\) \(20.769\) \(\Q\) None None \(2\) \(0\) \(-1\) \(2\) \(+\) \(q+2q^{2}+2q^{4}-q^{5}+2q^{7}-2q^{10}+\cdots\)
2601.2.a.m \(2\) \(20.769\) \(\Q(\sqrt{2}) \) None None \(-2\) \(0\) \(0\) \(-6\) \(+\) \(q+(-1+\beta )q^{2}+(1-2\beta )q^{4}+2\beta q^{5}+\cdots\)
2601.2.a.n \(2\) \(20.769\) \(\Q(\sqrt{2}) \) None None \(-2\) \(0\) \(0\) \(6\) \(-\) \(q+(-1+\beta )q^{2}+(1-2\beta )q^{4}-2\beta q^{5}+\cdots\)
2601.2.a.o \(2\) \(20.769\) \(\Q(\sqrt{17}) \) \(\Q(\sqrt{-51}) \) None \(0\) \(0\) \(0\) \(0\) \(+\) \(q-2q^{4}-\beta q^{5}+\beta q^{11}-q^{13}+4q^{16}+\cdots\)
2601.2.a.p \(2\) \(20.769\) \(\Q(\sqrt{2}) \) None None \(0\) \(0\) \(-2\) \(0\) \(+\) \(q+\beta q^{2}-q^{5}+\beta q^{7}-2\beta q^{8}-\beta q^{10}+\cdots\)
2601.2.a.q \(2\) \(20.769\) \(\Q(\sqrt{2}) \) None None \(0\) \(0\) \(2\) \(0\) \(+\) \(q+\beta q^{2}+q^{5}-\beta q^{7}-2\beta q^{8}+\beta q^{10}+\cdots\)
2601.2.a.r \(2\) \(20.769\) \(\Q(\sqrt{13}) \) None None \(1\) \(0\) \(-1\) \(3\) \(+\) \(q+\beta q^{2}+(1+\beta )q^{4}-\beta q^{5}+(2-\beta )q^{7}+\cdots\)
2601.2.a.s \(2\) \(20.769\) \(\Q(\sqrt{13}) \) None None \(1\) \(0\) \(1\) \(-3\) \(-\) \(q+\beta q^{2}+(1+\beta )q^{4}+\beta q^{5}+(-2+\beta )q^{7}+\cdots\)
2601.2.a.t \(2\) \(20.769\) \(\Q(\sqrt{17}) \) None None \(1\) \(0\) \(3\) \(0\) \(-\) \(q+\beta q^{2}+(2+\beta )q^{4}+(1+\beta )q^{5}+(4+\beta )q^{8}+\cdots\)
2601.2.a.u \(3\) \(20.769\) \(\Q(\zeta_{18})^+\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(+\) \(q-2q^{4}+(3\beta _{1}-\beta _{2})q^{7}+(-4\beta _{1}+3\beta _{2})q^{13}+\cdots\)
2601.2.a.v \(3\) \(20.769\) \(\Q(\zeta_{18})^+\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(-\) \(q-2q^{4}+(-3\beta _{1}+\beta _{2})q^{7}+(-4\beta _{1}+\cdots)q^{13}+\cdots\)
2601.2.a.w \(3\) \(20.769\) \(\Q(\zeta_{18})^+\) None None \(0\) \(0\) \(-6\) \(0\) \(+\) \(q+\beta _{1}q^{2}+\beta _{2}q^{4}+(-2+\beta _{1})q^{5}-\beta _{2}q^{7}+\cdots\)
2601.2.a.x \(3\) \(20.769\) \(\Q(\zeta_{18})^+\) None None \(0\) \(0\) \(6\) \(0\) \(-\) \(q+\beta _{1}q^{2}+\beta _{2}q^{4}+(2-\beta _{1})q^{5}+\beta _{2}q^{7}+\cdots\)
2601.2.a.y \(3\) \(20.769\) \(\Q(\zeta_{18})^+\) None None \(3\) \(0\) \(-3\) \(3\) \(-\) \(q+(1-\beta _{1})q^{2}+(1-2\beta _{1}+\beta _{2})q^{4}+(-1+\cdots)q^{5}+\cdots\)
2601.2.a.z \(3\) \(20.769\) \(\Q(\zeta_{18})^+\) None None \(3\) \(0\) \(3\) \(-3\) \(+\) \(q+(1-\beta _{1})q^{2}+(1-2\beta _{1}+\beta _{2})q^{4}+(1+\cdots)q^{5}+\cdots\)
2601.2.a.ba \(4\) \(20.769\) \(\Q(\zeta_{16})^+\) None None \(-4\) \(0\) \(0\) \(0\) \(-\) \(q-q^{2}-q^{4}+(-\beta _{1}-2\beta _{3})q^{5}+2\beta _{1}q^{7}+\cdots\)
2601.2.a.bb \(4\) \(20.769\) \(\Q(\zeta_{16})^+\) None None \(-4\) \(0\) \(0\) \(0\) \(+\) \(q+(-1-\beta _{2})q^{2}+(1+2\beta _{2})q^{4}+\beta _{3}q^{5}+\cdots\)
2601.2.a.bc \(4\) \(20.769\) \(\Q(\zeta_{16})^+\) None None \(0\) \(0\) \(-4\) \(8\) \(+\) \(q+\beta _{1}q^{2}+\beta _{2}q^{4}+(-1+\beta _{1}+\beta _{3})q^{5}+\cdots\)
2601.2.a.bd \(4\) \(20.769\) \(\Q(\zeta_{16})^+\) None None \(0\) \(0\) \(4\) \(-8\) \(+\) \(q+\beta _{1}q^{2}+\beta _{2}q^{4}+(1-\beta _{1}-\beta _{3})q^{5}+\cdots\)
2601.2.a.be \(4\) \(20.769\) 4.4.7232.1 None None \(2\) \(0\) \(-6\) \(4\) \(-\) \(q+(\beta _{1}-\beta _{3})q^{2}+(1+\beta _{1}-\beta _{2})q^{4}+(-1+\cdots)q^{5}+\cdots\)
2601.2.a.bf \(4\) \(20.769\) 4.4.7232.1 None None \(2\) \(0\) \(6\) \(-4\) \(-\) \(q+(\beta _{1}-\beta _{3})q^{2}+(1+\beta _{1}-\beta _{2})q^{4}+(1+\cdots)q^{5}+\cdots\)
2601.2.a.bg \(4\) \(20.769\) \(\Q(\zeta_{16})^+\) None None \(4\) \(0\) \(0\) \(0\) \(-\) \(q+q^{2}-q^{4}+(-\beta _{1}-2\beta _{3})q^{5}-2\beta _{1}q^{7}+\cdots\)
2601.2.a.bh \(6\) \(20.769\) 6.6.3418281.1 None None \(-3\) \(0\) \(-3\) \(-3\) \(+\) \(q+\beta _{4}q^{2}+(1+\beta _{1}+\beta _{2}-\beta _{4}+2\beta _{5})q^{4}+\cdots\)
2601.2.a.bi \(6\) \(20.769\) 6.6.3418281.1 None None \(-3\) \(0\) \(3\) \(3\) \(-\) \(q+\beta _{4}q^{2}+(1+\beta _{1}+\beta _{2}-\beta _{4}+2\beta _{5})q^{4}+\cdots\)
2601.2.a.bj \(6\) \(20.769\) 6.6.45769536.1 None None \(0\) \(0\) \(0\) \(-18\) \(+\) \(q+\beta _{1}q^{2}+(3+\beta _{2})q^{4}-\beta _{3}q^{5}+(-3+\cdots)q^{7}+\cdots\)
2601.2.a.bk \(6\) \(20.769\) 6.6.45769536.1 None None \(0\) \(0\) \(0\) \(18\) \(-\) \(q+\beta _{1}q^{2}+(3+\beta _{2})q^{4}+\beta _{3}q^{5}+(3-\beta _{2}+\cdots)q^{7}+\cdots\)
2601.2.a.bl \(8\) \(20.769\) 8.8.4848615424.1 None None \(0\) \(0\) \(0\) \(0\) \(-\) \(q-\beta _{4}q^{2}+(4-\beta _{2})q^{4}-\beta _{1}q^{5}+(\beta _{3}+\cdots)q^{7}+\cdots\)
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