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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
1444.1.b.a \(2\) \(0.721\) \(\Q(\sqrt{5}) \) \(\Q(\sqrt{-1}) \) None \(-2\) \(0\) \(-1\) \(0\) \(q-q^{2}+q^{4}+(-1+\beta )q^{5}-q^{8}+q^{9}+\cdots\)
1444.1.b.b \(2\) \(0.721\) \(\Q(\sqrt{5}) \) \(\Q(\sqrt{-1}) \) None \(2\) \(0\) \(-1\) \(0\) \(q+q^{2}+q^{4}+(-1+\beta )q^{5}+q^{8}+q^{9}+\cdots\)
1444.1.c.a \(2\) \(0.721\) \(\Q(\sqrt{-2}) \) None None \(0\) \(0\) \(2\) \(2\) \(q-\beta q^{3}+q^{5}+q^{7}-q^{9}-q^{11}-\beta q^{15}+\cdots\)
1444.1.g.a \(4\) \(0.721\) \(\Q(\sqrt{-3}, \sqrt{5})\) \(\Q(\sqrt{-1}) \) None \(-2\) \(0\) \(1\) \(0\) \(q+(-1-\beta _{3})q^{2}+\beta _{3}q^{4}+(1-\beta _{1}+\beta _{3})q^{5}+\cdots\)
1444.1.g.b \(4\) \(0.721\) \(\Q(\sqrt{-3}, \sqrt{5})\) \(\Q(\sqrt{-1}) \) None \(2\) \(0\) \(1\) \(0\) \(q+(1+\beta _{3})q^{2}+\beta _{3}q^{4}+(1-\beta _{1}+\beta _{3})q^{5}+\cdots\)
1444.1.h.a \(2\) \(0.721\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(1\) \(-2\) \(q-\zeta_{6}^{2}q^{5}-q^{7}-\zeta_{6}q^{9}-q^{11}-\zeta_{6}^{2}q^{17}+\cdots\)
1444.1.h.b \(4\) \(0.721\) \(\Q(\sqrt{-2}, \sqrt{-3})\) None None \(0\) \(0\) \(-2\) \(4\) \(q+\beta _{1}q^{3}+(-1+\beta _{2})q^{5}+q^{7}+\beta _{2}q^{9}+\cdots\)
1444.1.j.a \(6\) \(0.721\) \(\Q(\zeta_{18})\) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(0\) \(3\) \(q-\zeta_{18}^{8}q^{5}+\zeta_{18}^{3}q^{7}+\zeta_{18}^{4}q^{9}+\cdots\)
1444.1.j.b \(12\) \(0.721\) 12.0.\(\cdots\).1 None None \(0\) \(0\) \(0\) \(-6\) \(q+(-\beta _{5}+\beta _{11})q^{3}+(\beta _{2}-\beta _{8})q^{5}+(-1+\cdots)q^{7}+\cdots\)
1444.1.l.a \(12\) \(0.721\) 12.0.\(\cdots\).1 \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\beta _{3}+\beta _{9})q^{2}+(-\beta _{5}+\beta _{11})q^{4}+\cdots\)
1444.1.l.b \(12\) \(0.721\) 12.0.\(\cdots\).1 \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\beta _{3}-\beta _{9})q^{2}+(-\beta _{5}+\beta _{11})q^{4}+(\beta _{1}+\cdots)q^{5}+\cdots\)
1444.2.a.a \(1\) \(11.530\) \(\Q\) None None \(0\) \(-2\) \(-1\) \(-3\) \(+\) \(q-2q^{3}-q^{5}-3q^{7}+q^{9}+5q^{11}+\cdots\)
1444.2.a.b \(1\) \(11.530\) \(\Q\) None None \(0\) \(-1\) \(-1\) \(0\) \(-\) \(q-q^{3}-q^{5}-2q^{9}-4q^{11}-q^{13}+\cdots\)
1444.2.a.c \(1\) \(11.530\) \(\Q\) None None \(0\) \(1\) \(-1\) \(0\) \(+\) \(q+q^{3}-q^{5}-2q^{9}-4q^{11}+q^{13}+\cdots\)
1444.2.a.d \(2\) \(11.530\) \(\Q(\sqrt{5}) \) None None \(0\) \(-1\) \(-2\) \(4\) \(+\) \(q-\beta q^{3}-2\beta q^{5}+(1+2\beta )q^{7}+(-2+\cdots)q^{9}+\cdots\)
1444.2.a.e \(2\) \(11.530\) \(\Q(\sqrt{57}) \) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(1\) \(-3\) \(-\) \(q+\beta q^{5}+(-2+\beta )q^{7}-3q^{9}+(2+\beta )q^{11}+\cdots\)
1444.2.a.f \(2\) \(11.530\) \(\Q(\sqrt{5}) \) None None \(0\) \(1\) \(-2\) \(4\) \(+\) \(q+\beta q^{3}-2\beta q^{5}+(1+2\beta )q^{7}+(-2+\cdots)q^{9}+\cdots\)
1444.2.a.g \(6\) \(11.530\) 6.6.20319417.1 None None \(0\) \(-3\) \(-3\) \(-3\) \(+\) \(q+(-\beta _{1}-\beta _{2}-\beta _{3})q^{3}-\beta _{4}q^{5}+(-1+\cdots)q^{7}+\cdots\)
1444.2.a.h \(6\) \(11.530\) 6.6.20319417.1 None None \(0\) \(3\) \(-3\) \(-3\) \(-\) \(q+(\beta _{1}+\beta _{2}+\beta _{3})q^{3}-\beta _{4}q^{5}+(-1+\cdots)q^{7}+\cdots\)
1444.2.a.i \(8\) \(11.530\) 8.8.\(\cdots\).1 None None \(0\) \(0\) \(14\) \(8\) \(-\) \(q+(\beta _{3}+\beta _{5})q^{3}+(1+\beta _{1}+\beta _{4})q^{5}+(2+\cdots)q^{7}+\cdots\)
1444.2.e.a \(2\) \(11.530\) \(\Q(\sqrt{-3}) \) None None \(0\) \(-2\) \(1\) \(-6\) \(q+(-2+2\zeta_{6})q^{3}+(1-\zeta_{6})q^{5}-3q^{7}+\cdots\)
1444.2.e.b \(2\) \(11.530\) \(\Q(\sqrt{-3}) \) None None \(0\) \(-1\) \(1\) \(0\) \(q+(-1+\zeta_{6})q^{3}+(1-\zeta_{6})q^{5}+2\zeta_{6}q^{9}+\cdots\)
1444.2.e.c \(2\) \(11.530\) \(\Q(\sqrt{-3}) \) None None \(0\) \(2\) \(1\) \(-6\) \(q+(2-2\zeta_{6})q^{3}+(1-\zeta_{6})q^{5}-3q^{7}+\cdots\)
1444.2.e.d \(4\) \(11.530\) \(\Q(\sqrt{-3}, \sqrt{5})\) None None \(0\) \(-1\) \(2\) \(8\) \(q-\beta _{1}q^{3}+2\beta _{1}q^{5}+(1-2\beta _{2})q^{7}+(\beta _{1}+\cdots)q^{9}+\cdots\)
1444.2.e.e \(4\) \(11.530\) \(\Q(\sqrt{-3}, \sqrt{-19})\) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(-1\) \(-6\) \(q+(-1-\beta _{1}+\beta _{3})q^{5}+(-1-\beta _{2})q^{7}+\cdots\)
1444.2.e.f \(4\) \(11.530\) \(\Q(\sqrt{-3}, \sqrt{5})\) None None \(0\) \(1\) \(2\) \(8\) \(q+\beta _{1}q^{3}+2\beta _{1}q^{5}+(1-2\beta _{2})q^{7}+(\beta _{1}+\cdots)q^{9}+\cdots\)
1444.2.e.g \(12\) \(11.530\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None None \(0\) \(-3\) \(3\) \(-6\) \(q+(-\beta _{2}-\beta _{4}+\beta _{8})q^{3}+(1+\beta _{10}+\beta _{11})q^{5}+\cdots\)
1444.2.e.h \(12\) \(11.530\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None None \(0\) \(3\) \(3\) \(-6\) \(q+(-\beta _{5}-\beta _{11})q^{3}+\beta _{9}q^{5}+(-1+\beta _{1}+\cdots)q^{7}+\cdots\)
1444.2.e.i \(16\) \(11.530\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(0\) \(0\) \(-14\) \(16\) \(q+(\beta _{5}-\beta _{14})q^{3}+(-\beta _{1}-\beta _{8}+2\beta _{9}+\cdots)q^{5}+\cdots\)
1444.3.c.a \(6\) \(39.346\) 6.0.253035008.1 None None \(0\) \(0\) \(2\) \(-10\) \(q+\beta _{3}q^{3}+(1+\beta _{2}+\beta _{4})q^{5}+(-2-2\beta _{2}+\cdots)q^{7}+\cdots\)
1444.3.c.b \(8\) \(39.346\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None None \(0\) \(0\) \(2\) \(-12\) \(q+(\beta _{2}-\beta _{3})q^{3}-\beta _{6}q^{5}+(-2+\beta _{1}+\cdots)q^{7}+\cdots\)
1444.3.c.c \(18\) \(39.346\) \(\mathbb{Q}[x]/(x^{18} + \cdots)\) None None \(0\) \(0\) \(6\) \(-18\) \(q-\beta _{10}q^{3}+\beta _{6}q^{5}+(-1-\beta _{5})q^{7}+\cdots\)
1444.3.c.d \(24\) \(39.346\) None None \(0\) \(0\) \(-12\) \(40\)
1444.4.a.a \(1\) \(85.199\) \(\Q\) None None \(0\) \(-7\) \(2\) \(-11\) \(-\) \(q-7q^{3}+2q^{5}-11q^{7}+22q^{9}+22q^{11}+\cdots\)
1444.4.a.b \(1\) \(85.199\) \(\Q\) None None \(0\) \(7\) \(2\) \(-11\) \(-\) \(q+7q^{3}+2q^{5}-11q^{7}+22q^{9}+22q^{11}+\cdots\)
1444.4.a.c \(2\) \(85.199\) \(\Q(\sqrt{57}) \) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(-14\) \(36\) \(-\) \(q+(-7-2\beta )q^{5}+(18+\beta )q^{7}-3^{3}q^{9}+\cdots\)
1444.4.a.d \(2\) \(85.199\) \(\Q(\sqrt{33}) \) None None \(0\) \(5\) \(-5\) \(-30\) \(+\) \(q+(3-\beta )q^{3}-5\beta q^{5}+(-17+4\beta )q^{7}+\cdots\)
1444.4.a.e \(3\) \(85.199\) 3.3.35529.1 None None \(0\) \(-1\) \(9\) \(44\) \(+\) \(q+(-\beta _{1}-\beta _{2})q^{3}+(3+\beta _{2})q^{5}+(15+\cdots)q^{7}+\cdots\)
1444.4.a.f \(5\) \(85.199\) \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None None \(0\) \(-7\) \(4\) \(-10\) \(-\) \(q+(-1-\beta _{1})q^{3}+(1+\beta _{3})q^{5}+(-2+\cdots)q^{7}+\cdots\)
1444.4.a.g \(5\) \(85.199\) \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None None \(0\) \(7\) \(4\) \(-10\) \(+\) \(q+(1+\beta _{1})q^{3}+(1+\beta _{3})q^{5}+(-2+\beta _{1}+\cdots)q^{7}+\cdots\)
1444.4.a.h \(10\) \(85.199\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None None \(0\) \(-2\) \(13\) \(-2\) \(+\) \(q-\beta _{1}q^{3}+(2-2\beta _{3}-\beta _{7})q^{5}+(\beta _{1}-2\beta _{3}+\cdots)q^{7}+\cdots\)
1444.4.a.i \(10\) \(85.199\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None None \(0\) \(2\) \(13\) \(-2\) \(+\) \(q+\beta _{1}q^{3}+(2-2\beta _{3}-\beta _{7})q^{5}+(\beta _{1}-2\beta _{3}+\cdots)q^{7}+\cdots\)
1444.4.a.j \(15\) \(85.199\) \(\mathbb{Q}[x]/(x^{15} - \cdots)\) None None \(0\) \(0\) \(12\) \(-6\) \(-\) \(q-\beta _{1}q^{3}+(1-\beta _{9})q^{5}-\beta _{11}q^{7}+(9+\cdots)q^{9}+\cdots\)
1444.4.a.k \(15\) \(85.199\) \(\mathbb{Q}[x]/(x^{15} - \cdots)\) None None \(0\) \(0\) \(12\) \(-6\) \(+\) \(q+\beta _{1}q^{3}+(1-\beta _{9})q^{5}-\beta _{11}q^{7}+(9+\cdots)q^{9}+\cdots\)
1444.4.a.l \(16\) \(85.199\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(0\) \(0\) \(-60\) \(-4\) \(-\) \(q+\beta _{1}q^{3}+(-4+\beta _{9})q^{5}-\beta _{8}q^{7}+(6+\cdots)q^{9}+\cdots\)
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