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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
1456.1.f.a \(1\) \(0.727\) \(\Q\) \(\Q(\sqrt{-91}) \) None \(0\) \(0\) \(-1\) \(-1\) \(q-q^{5}-q^{7}+q^{9}+q^{13}+q^{19}+q^{23}+\cdots\)
1456.1.f.b \(1\) \(0.727\) \(\Q\) \(\Q(\sqrt{-91}) \) None \(0\) \(0\) \(1\) \(1\) \(q+q^{5}+q^{7}+q^{9}-q^{13}-q^{19}+q^{23}+\cdots\)
1456.1.bb.a \(4\) \(0.727\) \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{8}^{2}q^{2}-\zeta_{8}^{3}q^{3}-q^{4}+\zeta_{8}q^{6}+\cdots\)
1456.1.bc.a \(4\) \(0.727\) \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(-4\) \(0\) \(q+\zeta_{8}q^{2}-\zeta_{8}q^{3}+\zeta_{8}^{2}q^{4}+(-1-\zeta_{8}^{2}+\cdots)q^{5}+\cdots\)
1456.1.bc.b \(4\) \(0.727\) \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(4\) \(0\) \(q-\zeta_{8}q^{2}-\zeta_{8}q^{3}+\zeta_{8}^{2}q^{4}+(1+\zeta_{8}^{2}+\cdots)q^{5}+\cdots\)
1456.1.bl.a \(4\) \(0.727\) \(\Q(\zeta_{8})\) None None \(-4\) \(0\) \(0\) \(0\) \(q-q^{2}-\zeta_{8}^{3}q^{3}+q^{4}+\zeta_{8}^{3}q^{6}+\zeta_{8}q^{7}+\cdots\)
1456.1.bs.a \(4\) \(0.727\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(2\) \(0\) \(q-\zeta_{12}^{3}q^{3}+\zeta_{12}^{2}q^{5}-\zeta_{12}^{5}q^{7}+\cdots\)
1456.1.dg.a \(4\) \(0.727\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(2\) \(0\) \(q+\zeta_{12}^{5}q^{3}+\zeta_{12}^{2}q^{5}+\zeta_{12}^{3}q^{7}+\cdots\)
1456.1.dj.a \(4\) \(0.727\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-13}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}q^{7}+\zeta_{12}^{4}q^{9}+(-\zeta_{12}-\zeta_{12}^{3}+\cdots)q^{11}+\cdots\)
1456.1.fx.a \(8\) \(0.727\) \(\Q(\zeta_{24})\) None None \(-4\) \(0\) \(0\) \(0\) \(q+\zeta_{24}^{8}q^{2}-\zeta_{24}^{5}q^{3}-\zeta_{24}^{4}q^{4}+\cdots\)
1456.2.a.a \(1\) \(11.626\) \(\Q\) None None \(0\) \(-3\) \(-4\) \(1\) \(+\) \(q-3q^{3}-4q^{5}+q^{7}+6q^{9}-q^{11}+\cdots\)
1456.2.a.b \(1\) \(11.626\) \(\Q\) None None \(0\) \(-3\) \(0\) \(-1\) \(-\) \(q-3q^{3}-q^{7}+6q^{9}+5q^{11}-q^{13}+\cdots\)
1456.2.a.c \(1\) \(11.626\) \(\Q\) None None \(0\) \(-2\) \(3\) \(-1\) \(+\) \(q-2q^{3}+3q^{5}-q^{7}+q^{9}-q^{13}-6q^{15}+\cdots\)
1456.2.a.d \(1\) \(11.626\) \(\Q\) None None \(0\) \(-1\) \(0\) \(-1\) \(+\) \(q-q^{3}-q^{7}-2q^{9}+3q^{11}+q^{13}+\cdots\)
1456.2.a.e \(1\) \(11.626\) \(\Q\) None None \(0\) \(-1\) \(4\) \(1\) \(-\) \(q-q^{3}+4q^{5}+q^{7}-2q^{9}+q^{11}+q^{13}+\cdots\)
1456.2.a.f \(1\) \(11.626\) \(\Q\) None None \(0\) \(0\) \(-3\) \(-1\) \(-\) \(q-3q^{5}-q^{7}-3q^{9}+2q^{11}-q^{13}+\cdots\)
1456.2.a.g \(1\) \(11.626\) \(\Q\) None None \(0\) \(0\) \(-3\) \(1\) \(+\) \(q-3q^{5}+q^{7}-3q^{9}+6q^{11}-q^{13}+\cdots\)
1456.2.a.h \(1\) \(11.626\) \(\Q\) None None \(0\) \(0\) \(-1\) \(1\) \(+\) \(q-q^{5}+q^{7}-3q^{9}-2q^{11}+q^{13}+\cdots\)
1456.2.a.i \(1\) \(11.626\) \(\Q\) None None \(0\) \(0\) \(2\) \(1\) \(+\) \(q+2q^{5}+q^{7}-3q^{9}-4q^{11}-q^{13}+\cdots\)
1456.2.a.j \(1\) \(11.626\) \(\Q\) None None \(0\) \(1\) \(0\) \(-1\) \(+\) \(q+q^{3}-q^{7}-2q^{9}-3q^{11}-q^{13}+\cdots\)
1456.2.a.k \(1\) \(11.626\) \(\Q\) None None \(0\) \(2\) \(-3\) \(-1\) \(+\) \(q+2q^{3}-3q^{5}-q^{7}+q^{9}+q^{13}-6q^{15}+\cdots\)
1456.2.a.l \(1\) \(11.626\) \(\Q\) None None \(0\) \(2\) \(-1\) \(-1\) \(+\) \(q+2q^{3}-q^{5}-q^{7}+q^{9}-4q^{11}-q^{13}+\cdots\)
1456.2.a.m \(1\) \(11.626\) \(\Q\) None None \(0\) \(2\) \(1\) \(1\) \(-\) \(q+2q^{3}+q^{5}+q^{7}+q^{9}+4q^{11}+q^{13}+\cdots\)
1456.2.a.n \(2\) \(11.626\) \(\Q(\sqrt{3}) \) None None \(0\) \(-2\) \(0\) \(-2\) \(+\) \(q+(-1+\beta )q^{3}+\beta q^{5}-q^{7}+(1-2\beta )q^{9}+\cdots\)
1456.2.a.o \(2\) \(11.626\) \(\Q(\sqrt{17}) \) None None \(0\) \(-1\) \(-1\) \(2\) \(+\) \(q-\beta q^{3}+(-1+\beta )q^{5}+q^{7}+(1+\beta )q^{9}+\cdots\)
1456.2.a.p \(2\) \(11.626\) \(\Q(\sqrt{6}) \) None None \(0\) \(0\) \(-2\) \(2\) \(+\) \(q+\beta q^{3}+(-1-\beta )q^{5}+q^{7}+3q^{9}+\cdots\)
1456.2.a.q \(2\) \(11.626\) \(\Q(\sqrt{2}) \) None None \(0\) \(0\) \(6\) \(-2\) \(-\) \(q+\beta q^{3}+(3+\beta )q^{5}-q^{7}-q^{9}+3\beta q^{11}+\cdots\)
1456.2.a.r \(2\) \(11.626\) \(\Q(\sqrt{3}) \) None None \(0\) \(2\) \(0\) \(2\) \(-\) \(q+(1+\beta )q^{3}+\beta q^{5}+q^{7}+(1+2\beta )q^{9}+\cdots\)
1456.2.a.s \(2\) \(11.626\) \(\Q(\sqrt{2}) \) None None \(0\) \(4\) \(-2\) \(-2\) \(-\) \(q+(2+\beta )q^{3}+(-1-\beta )q^{5}-q^{7}+(3+\cdots)q^{9}+\cdots\)
1456.2.a.t \(3\) \(11.626\) 3.3.316.1 None None \(0\) \(2\) \(2\) \(3\) \(-\) \(q+(1-\beta _{1}+\beta _{2})q^{3}+(1-\beta _{1})q^{5}+q^{7}+\cdots\)
1456.2.a.u \(4\) \(11.626\) 4.4.183064.1 None None \(0\) \(-1\) \(0\) \(-4\) \(-\) \(q-\beta _{1}q^{3}-\beta _{3}q^{5}-q^{7}+(2+\beta _{2})q^{9}+\cdots\)
1456.2.a.v \(4\) \(11.626\) 4.4.64268.1 None None \(0\) \(-1\) \(2\) \(4\) \(-\) \(q-\beta _{1}q^{3}+(1+\beta _{2})q^{5}+q^{7}+(3+\beta _{1}+\cdots)q^{9}+\cdots\)
1456.2.j.a \(16\) \(11.626\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{10}q^{3}+\beta _{14}q^{5}+(-\beta _{2}+\beta _{13}+\cdots)q^{7}+\cdots\)
1456.2.j.b \(32\) \(11.626\) None None \(0\) \(0\) \(0\) \(0\)
1456.2.k.a \(2\) \(11.626\) \(\Q(\sqrt{-1}) \) None None \(0\) \(2\) \(0\) \(0\) \(q+q^{3}+2iq^{5}-iq^{7}-2q^{9}-5iq^{11}+\cdots\)
1456.2.k.b \(6\) \(11.626\) 6.0.30647296.1 None None \(0\) \(-2\) \(0\) \(0\) \(q-\beta _{3}q^{3}+(-\beta _{1}-\beta _{2})q^{5}+\beta _{4}q^{7}+\cdots\)
1456.2.k.c \(6\) \(11.626\) 6.0.350464.1 None None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{1}q^{3}+(-\beta _{3}-\beta _{5})q^{5}+\beta _{3}q^{7}+\cdots\)
1456.2.k.d \(8\) \(11.626\) \(\mathbb{Q}[x]/(x^{8} + \cdots)\) None None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{2}q^{3}+(\beta _{3}+\beta _{4})q^{5}+\beta _{3}q^{7}+(1+\cdots)q^{9}+\cdots\)
1456.2.k.e \(8\) \(11.626\) \(\mathbb{Q}[x]/(x^{8} + \cdots)\) None None \(0\) \(2\) \(0\) \(0\) \(q-\beta _{2}q^{3}+(-\beta _{1}+\beta _{5})q^{5}+\beta _{5}q^{7}+\cdots\)
1456.2.k.f \(12\) \(11.626\) \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None None \(0\) \(-2\) \(0\) \(0\) \(q-\beta _{2}q^{3}+(\beta _{1}-\beta _{5}-\beta _{7})q^{5}-\beta _{4}q^{7}+\cdots\)
1456.2.p.a \(2\) \(11.626\) \(\Q(\sqrt{-3}) \) None None \(0\) \(-4\) \(-6\) \(-4\) \(q-2q^{3}-3q^{5}+(-2+\zeta_{6})q^{7}+q^{9}+\cdots\)
1456.2.p.b \(2\) \(11.626\) \(\Q(\sqrt{-3}) \) None None \(0\) \(-4\) \(6\) \(4\) \(q-2q^{3}+3q^{5}+(2+\zeta_{6})q^{7}+q^{9}-6q^{11}+\cdots\)
1456.2.p.c \(2\) \(11.626\) \(\Q(\sqrt{-3}) \) None None \(0\) \(4\) \(-6\) \(4\) \(q+2q^{3}-3q^{5}+(2+\zeta_{6})q^{7}+q^{9}-6q^{11}+\cdots\)
1456.2.p.d \(2\) \(11.626\) \(\Q(\sqrt{-3}) \) None None \(0\) \(4\) \(6\) \(-4\) \(q+2q^{3}+3q^{5}+(-2+\zeta_{6})q^{7}+q^{9}+\cdots\)
1456.2.p.e \(4\) \(11.626\) \(\Q(\sqrt{-2}, \sqrt{-13})\) \(\Q(\sqrt{-13}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{1}q^{7}-3q^{9}+(2\beta _{1}-\beta _{2})q^{11}+\beta _{3}q^{13}+\cdots\)
1456.2.p.f \(4\) \(11.626\) \(\Q(\sqrt{-7}, \sqrt{13})\) \(\Q(\sqrt{-91}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{2}q^{5}-\beta _{1}q^{7}-3q^{9}-\beta _{2}q^{13}+\cdots\)
1456.2.p.g \(8\) \(11.626\) 8.0.5554571841.1 \(\Q(\sqrt{-91}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{4}q^{5}+\beta _{2}q^{7}-3q^{9}+(\beta _{4}-\beta _{7})q^{13}+\cdots\)
1456.2.p.h \(8\) \(11.626\) 8.0.3317760000.6 None None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{6}q^{3}-\beta _{3}q^{5}+(\beta _{1}-\beta _{5})q^{7}+3q^{9}+\cdots\)
1456.2.p.i \(24\) \(11.626\) None None \(0\) \(0\) \(0\) \(0\)
1456.2.r.a \(2\) \(11.626\) \(\Q(\sqrt{-3}) \) None None \(0\) \(-3\) \(3\) \(4\) \(q+(-3+3\zeta_{6})q^{3}+3\zeta_{6}q^{5}+(1+2\zeta_{6})q^{7}+\cdots\)
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