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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
2028.1.d.a \(1\) \(1.012\) \(\Q\) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(-1\) \(q+q^{3}-q^{7}+q^{9}+2q^{19}-q^{21}+q^{25}+\cdots\)
2028.1.d.b \(1\) \(1.012\) \(\Q\) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(1\) \(q+q^{3}+q^{7}+q^{9}-2q^{19}+q^{21}+q^{25}+\cdots\)
2028.1.d.c \(2\) \(1.012\) \(\Q(\sqrt{3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(-2\) \(0\) \(0\) \(q-q^{3}-\beta q^{7}+q^{9}+\beta q^{21}+q^{25}+\cdots\)
2028.1.g.a \(2\) \(1.012\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(-2\) \(0\) \(0\) \(q-q^{3}+(\zeta_{6}+\zeta_{6}^{2})q^{7}+q^{9}+(-\zeta_{6}+\cdots)q^{21}+\cdots\)
2028.1.g.b \(2\) \(1.012\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(2\) \(0\) \(0\) \(q+q^{3}-iq^{7}+q^{9}-iq^{19}-iq^{21}+\cdots\)
2028.1.l.a \(2\) \(1.012\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-39}) \) None \(-2\) \(0\) \(-2\) \(0\) \(q-q^{2}+iq^{3}+q^{4}+(-1-i)q^{5}-iq^{6}+\cdots\)
2028.1.l.b \(2\) \(1.012\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-39}) \) None \(0\) \(0\) \(-2\) \(0\) \(q-iq^{2}-iq^{3}-q^{4}+(-1-i)q^{5}+\cdots\)
2028.1.l.c \(2\) \(1.012\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-39}) \) None \(0\) \(0\) \(2\) \(0\) \(q+iq^{2}-iq^{3}-q^{4}+(1+i)q^{5}+q^{6}+\cdots\)
2028.1.l.d \(2\) \(1.012\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-39}) \) None \(2\) \(0\) \(2\) \(0\) \(q+q^{2}+iq^{3}+q^{4}+(1+i)q^{5}+iq^{6}+\cdots\)
2028.1.o.a \(2\) \(1.012\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(-1\) \(q+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{7}-\zeta_{6}q^{9}+\zeta_{6}q^{19}+\cdots\)
2028.1.o.b \(4\) \(1.012\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(2\) \(0\) \(0\) \(q+\zeta_{12}^{2}q^{3}+(-\zeta_{12}^{3}-\zeta_{12}^{5})q^{7}+\cdots\)
2028.1.s.a \(2\) \(1.012\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(3\) \(q+\zeta_{6}q^{3}+(1+\zeta_{6})q^{7}+\zeta_{6}^{2}q^{9}+(\zeta_{6}+\cdots)q^{21}+\cdots\)
2028.1.s.b \(4\) \(1.012\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(-2\) \(0\) \(0\) \(q+\zeta_{12}^{4}q^{3}+\zeta_{12}^{5}q^{7}-\zeta_{12}^{2}q^{9}+\cdots\)
2028.1.v.a \(4\) \(1.012\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-39}) \) None \(-2\) \(0\) \(4\) \(0\) \(q-\zeta_{12}^{2}q^{2}-\zeta_{12}^{5}q^{3}+\zeta_{12}^{4}q^{4}+\cdots\)
2028.1.v.b \(4\) \(1.012\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-39}) \) None \(0\) \(0\) \(-4\) \(0\) \(q+\zeta_{12}^{5}q^{2}+\zeta_{12}^{5}q^{3}-\zeta_{12}^{4}q^{4}+\cdots\)
2028.1.v.c \(4\) \(1.012\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-39}) \) None \(0\) \(0\) \(4\) \(0\) \(q-\zeta_{12}^{5}q^{2}+\zeta_{12}^{5}q^{3}-\zeta_{12}^{4}q^{4}+\cdots\)
2028.1.v.d \(4\) \(1.012\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-39}) \) None \(2\) \(0\) \(-4\) \(0\) \(q+\zeta_{12}^{2}q^{2}-\zeta_{12}^{5}q^{3}+\zeta_{12}^{4}q^{4}+\cdots\)
2028.1.bm.a \(24\) \(1.012\) \(\Q(\zeta_{39})\) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(3\) \(q+\zeta_{78}^{29}q^{3}+(\zeta_{78}^{8}+\zeta_{78}^{15})q^{7}+\cdots\)
2028.1.bq.a \(24\) \(1.012\) \(\Q(\zeta_{39})\) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(-1\) \(q-\zeta_{78}^{37}q^{3}+(-\zeta_{78}^{3}-\zeta_{78}^{25})q^{7}+\cdots\)
2028.2.a.a \(1\) \(16.194\) \(\Q\) None None \(0\) \(-1\) \(-2\) \(-1\) \(-\) \(q-q^{3}-2q^{5}-q^{7}+q^{9}-2q^{11}+2q^{15}+\cdots\)
2028.2.a.b \(1\) \(16.194\) \(\Q\) None None \(0\) \(-1\) \(2\) \(1\) \(-\) \(q-q^{3}+2q^{5}+q^{7}+q^{9}+2q^{11}-2q^{15}+\cdots\)
2028.2.a.c \(1\) \(16.194\) \(\Q\) None None \(0\) \(-1\) \(4\) \(2\) \(-\) \(q-q^{3}+4q^{5}+2q^{7}+q^{9}+4q^{11}+\cdots\)
2028.2.a.d \(1\) \(16.194\) \(\Q\) None None \(0\) \(1\) \(-2\) \(4\) \(-\) \(q+q^{3}-2q^{5}+4q^{7}+q^{9}-6q^{11}+\cdots\)
2028.2.a.e \(1\) \(16.194\) \(\Q\) None None \(0\) \(1\) \(0\) \(-2\) \(+\) \(q+q^{3}-2q^{7}+q^{9}-6q^{17}-2q^{19}+\cdots\)
2028.2.a.f \(1\) \(16.194\) \(\Q\) None None \(0\) \(1\) \(2\) \(-4\) \(-\) \(q+q^{3}+2q^{5}-4q^{7}+q^{9}+6q^{11}+\cdots\)
2028.2.a.g \(2\) \(16.194\) \(\Q(\sqrt{3}) \) None None \(0\) \(-2\) \(0\) \(0\) \(+\) \(q-q^{3}+\beta q^{5}+q^{9}-\beta q^{11}-\beta q^{15}+\cdots\)
2028.2.a.h \(2\) \(16.194\) \(\Q(\sqrt{3}) \) None None \(0\) \(-2\) \(0\) \(0\) \(+\) \(q-q^{3}+\beta q^{5}-2\beta q^{7}+q^{9}+2\beta q^{11}+\cdots\)
2028.2.a.i \(3\) \(16.194\) \(\Q(\zeta_{14})^+\) None None \(0\) \(-3\) \(-2\) \(6\) \(-\) \(q-q^{3}+(-1-\beta _{2})q^{5}+(1+2\beta _{1}-\beta _{2})q^{7}+\cdots\)
2028.2.a.j \(3\) \(16.194\) \(\Q(\zeta_{14})^+\) None None \(0\) \(-3\) \(2\) \(-6\) \(+\) \(q-q^{3}+(1-\beta _{1})q^{5}+(-3+\beta _{1}-2\beta _{2})q^{7}+\cdots\)
2028.2.a.k \(3\) \(16.194\) \(\Q(\zeta_{14})^+\) None None \(0\) \(3\) \(0\) \(-6\) \(+\) \(q+q^{3}+(1-2\beta _{1}+\beta _{2})q^{5}+(-3+2\beta _{1}+\cdots)q^{7}+\cdots\)
2028.2.a.l \(3\) \(16.194\) \(\Q(\zeta_{14})^+\) None None \(0\) \(3\) \(0\) \(6\) \(-\) \(q+q^{3}+(-\beta _{1}-\beta _{2})q^{5}+(2+\beta _{1}+\beta _{2})q^{7}+\cdots\)
2028.2.a.m \(4\) \(16.194\) \(\Q(\sqrt{3}, \sqrt{43})\) None None \(0\) \(4\) \(0\) \(0\) \(-\) \(q+q^{3}+\beta _{1}q^{5}+(\beta _{1}-\beta _{2})q^{7}+q^{9}+\cdots\)
2028.2.b.a \(2\) \(16.194\) \(\Q(\sqrt{-1}) \) None None \(0\) \(-2\) \(0\) \(0\) \(q-q^{3}+2iq^{5}-iq^{7}+q^{9}-2iq^{11}+\cdots\)
2028.2.b.b \(2\) \(16.194\) \(\Q(\sqrt{-3}) \) None None \(0\) \(-2\) \(0\) \(0\) \(q-q^{3}-\zeta_{6}q^{5}-2\zeta_{6}q^{7}+q^{9}+2\zeta_{6}q^{11}+\cdots\)
2028.2.b.c \(2\) \(16.194\) \(\Q(\sqrt{-1}) \) None None \(0\) \(-2\) \(0\) \(0\) \(q-q^{3}+2iq^{5}-iq^{7}+q^{9}-2iq^{11}+\cdots\)
2028.2.b.d \(2\) \(16.194\) \(\Q(\sqrt{-1}) \) None None \(0\) \(2\) \(0\) \(0\) \(q+q^{3}+iq^{7}+q^{9}+6q^{17}-iq^{19}+\cdots\)
2028.2.b.e \(4\) \(16.194\) \(\Q(\sqrt{-3}, \sqrt{-43})\) None None \(0\) \(4\) \(0\) \(0\) \(q+q^{3}+(-\beta _{1}-\beta _{3})q^{5}+\beta _{3}q^{7}+q^{9}+\cdots\)
2028.2.b.f \(6\) \(16.194\) 6.0.153664.1 None None \(0\) \(-6\) \(0\) \(0\) \(q-q^{3}+(\beta _{3}+\beta _{5})q^{5}+(-2\beta _{1}+\beta _{3}+\cdots)q^{7}+\cdots\)
2028.2.b.g \(6\) \(16.194\) 6.0.153664.1 None None \(0\) \(6\) \(0\) \(0\) \(q+q^{3}+(\beta _{1}+\beta _{3})q^{5}+(\beta _{1}+\beta _{3}-2\beta _{5})q^{7}+\cdots\)
2028.2.i.a \(2\) \(16.194\) \(\Q(\sqrt{-3}) \) None None \(0\) \(-1\) \(-4\) \(-4\) \(q+(-1+\zeta_{6})q^{3}-2q^{5}-4\zeta_{6}q^{7}-\zeta_{6}q^{9}+\cdots\)
2028.2.i.b \(2\) \(16.194\) \(\Q(\sqrt{-3}) \) None None \(0\) \(-1\) \(0\) \(-2\) \(q+(-1+\zeta_{6})q^{3}-2\zeta_{6}q^{7}-\zeta_{6}q^{9}+\cdots\)
2028.2.i.c \(2\) \(16.194\) \(\Q(\sqrt{-3}) \) None None \(0\) \(-1\) \(0\) \(2\) \(q+(-1+\zeta_{6})q^{3}+2\zeta_{6}q^{7}-\zeta_{6}q^{9}+\cdots\)
2028.2.i.d \(2\) \(16.194\) \(\Q(\sqrt{-3}) \) None None \(0\) \(-1\) \(4\) \(4\) \(q+(-1+\zeta_{6})q^{3}+2q^{5}+4\zeta_{6}q^{7}-\zeta_{6}q^{9}+\cdots\)
2028.2.i.e \(2\) \(16.194\) \(\Q(\sqrt{-3}) \) None None \(0\) \(1\) \(-8\) \(2\) \(q+(1-\zeta_{6})q^{3}-4q^{5}+2\zeta_{6}q^{7}-\zeta_{6}q^{9}+\cdots\)
2028.2.i.f \(2\) \(16.194\) \(\Q(\sqrt{-3}) \) None None \(0\) \(1\) \(-4\) \(1\) \(q+(1-\zeta_{6})q^{3}-2q^{5}+\zeta_{6}q^{7}-\zeta_{6}q^{9}+\cdots\)
2028.2.i.g \(2\) \(16.194\) \(\Q(\sqrt{-3}) \) None None \(0\) \(1\) \(8\) \(-2\) \(q+(1-\zeta_{6})q^{3}+4q^{5}-2\zeta_{6}q^{7}-\zeta_{6}q^{9}+\cdots\)
2028.2.i.h \(4\) \(16.194\) \(\Q(\zeta_{12})\) None None \(0\) \(2\) \(0\) \(0\) \(q+\zeta_{12}q^{3}-\zeta_{12}^{3}q^{5}+(2\zeta_{12}^{2}-2\zeta_{12}^{3})q^{7}+\cdots\)
2028.2.i.i \(4\) \(16.194\) \(\Q(\zeta_{12})\) None None \(0\) \(2\) \(0\) \(0\) \(q+\zeta_{12}q^{3}-\zeta_{12}^{3}q^{5}+(-1+\zeta_{12}+\cdots)q^{9}+\cdots\)
2028.2.i.j \(6\) \(16.194\) 6.0.64827.1 None None \(0\) \(-3\) \(0\) \(-6\) \(q+(-1+\beta _{5})q^{3}+(1-2\beta _{2}+\beta _{3})q^{5}+\cdots\)
2028.2.i.k \(6\) \(16.194\) 6.0.64827.1 None None \(0\) \(-3\) \(0\) \(6\) \(q-\beta _{5}q^{3}+(-1+2\beta _{2}-\beta _{3})q^{5}+(1+\cdots)q^{7}+\cdots\)
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