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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
2667.1.b.a \(1\) \(1.331\) \(\Q\) \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-2667}) \) \(\Q(\sqrt{889}) \) \(0\) \(-1\) \(0\) \(1\) \(q-q^{3}+q^{4}+q^{7}+q^{9}-q^{12}+q^{16}+\cdots\)
2667.1.b.b \(1\) \(1.331\) \(\Q\) \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-2667}) \) \(\Q(\sqrt{889}) \) \(0\) \(1\) \(0\) \(-1\) \(q+q^{3}+q^{4}-q^{7}+q^{9}+q^{12}+q^{16}+\cdots\)
2667.1.n.a \(2\) \(1.331\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(1\) \(q-\zeta_{6}q^{3}+q^{4}+\zeta_{6}q^{7}+\zeta_{6}^{2}q^{9}-\zeta_{6}q^{12}+\cdots\)
2667.1.n.b \(2\) \(1.331\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(-1\) \(q+\zeta_{6}q^{3}+q^{4}-\zeta_{6}q^{7}+\zeta_{6}^{2}q^{9}+\zeta_{6}q^{12}+\cdots\)
2667.1.bf.a \(4\) \(1.331\) \(\Q(\zeta_{12})\) None None \(0\) \(-2\) \(0\) \(-2\) \(q-\zeta_{12}q^{2}+\zeta_{12}^{4}q^{3}+\zeta_{12}q^{5}-\zeta_{12}^{5}q^{6}+\cdots\)
2667.1.bi.a \(4\) \(1.331\) \(\Q(\zeta_{12})\) None None \(0\) \(4\) \(0\) \(4\) \(q+\zeta_{12}^{5}q^{2}+q^{3}-\zeta_{12}^{5}q^{5}+\zeta_{12}^{5}q^{6}+\cdots\)
2667.1.by.a \(6\) \(1.331\) \(\Q(\zeta_{14})\) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(-6\) \(q+\zeta_{14}^{2}q^{3}-\zeta_{14}q^{4}-q^{7}+\zeta_{14}^{4}q^{9}+\cdots\)
2667.1.by.b \(6\) \(1.331\) \(\Q(\zeta_{14})\) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(-1\) \(q-\zeta_{14}^{2}q^{3}-\zeta_{14}q^{4}-\zeta_{14}^{5}q^{7}+\zeta_{14}^{4}q^{9}+\cdots\)
2667.1.cj.a \(6\) \(1.331\) \(\Q(\zeta_{18})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{18}^{7}q^{3}+\zeta_{18}^{6}q^{4}-\zeta_{18}q^{7}-\zeta_{18}^{5}q^{9}+\cdots\)
2667.1.ck.a \(6\) \(1.331\) \(\Q(\zeta_{18})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{18}^{4}q^{3}+\zeta_{18}^{6}q^{4}-\zeta_{18}^{7}q^{7}+\cdots\)
2667.1.cn.a \(6\) \(1.331\) \(\Q(\zeta_{18})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{18}^{2}q^{3}+\zeta_{18}^{6}q^{4}-\zeta_{18}^{2}q^{7}+\cdots\)
2667.1.co.a \(6\) \(1.331\) \(\Q(\zeta_{18})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{18}^{8}q^{3}+\zeta_{18}^{6}q^{4}+\zeta_{18}^{8}q^{7}+\cdots\)
2667.1.dy.a \(12\) \(1.331\) \(\Q(\zeta_{21})\) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(1\) \(q-\zeta_{42}^{16}q^{3}-\zeta_{42}^{15}q^{4}-\zeta_{42}^{19}q^{7}+\cdots\)
2667.1.dy.b \(12\) \(1.331\) \(\Q(\zeta_{21})\) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(6\) \(q+\zeta_{42}^{16}q^{3}-\zeta_{42}^{15}q^{4}+\zeta_{42}^{7}q^{7}+\cdots\)
2667.1.ei.a \(36\) \(1.331\) \(\Q(\zeta_{63})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{126}^{10}q^{3}+\zeta_{126}^{12}q^{4}-\zeta_{126}^{28}q^{7}+\cdots\)
2667.1.ej.a \(36\) \(1.331\) \(\Q(\zeta_{63})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{126}^{20}q^{3}+\zeta_{126}^{24}q^{4}+\zeta_{126}^{56}q^{7}+\cdots\)
2667.1.em.a \(36\) \(1.331\) \(\Q(\zeta_{63})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{126}^{62}q^{3}-\zeta_{126}^{3}q^{4}+\zeta_{126}^{50}q^{7}+\cdots\)
2667.1.en.a \(36\) \(1.331\) \(\Q(\zeta_{63})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{126}^{58}q^{3}-\zeta_{126}^{15}q^{4}-\zeta_{126}^{61}q^{7}+\cdots\)
2667.2.a.a \(1\) \(21.296\) \(\Q\) None None \(-2\) \(1\) \(0\) \(-1\) \(+\) \(q-2q^{2}+q^{3}+2q^{4}-2q^{6}-q^{7}+q^{9}+\cdots\)
2667.2.a.b \(1\) \(21.296\) \(\Q\) None None \(-1\) \(-1\) \(4\) \(-1\) \(-\) \(q-q^{2}-q^{3}-q^{4}+4q^{5}+q^{6}-q^{7}+\cdots\)
2667.2.a.c \(1\) \(21.296\) \(\Q\) None None \(-1\) \(1\) \(0\) \(1\) \(+\) \(q-q^{2}+q^{3}-q^{4}-q^{6}+q^{7}+3q^{8}+\cdots\)
2667.2.a.d \(1\) \(21.296\) \(\Q\) None None \(0\) \(1\) \(3\) \(1\) \(-\) \(q+q^{3}-2q^{4}+3q^{5}+q^{7}+q^{9}+6q^{11}+\cdots\)
2667.2.a.e \(1\) \(21.296\) \(\Q\) None None \(2\) \(1\) \(3\) \(-1\) \(-\) \(q+2q^{2}+q^{3}+2q^{4}+3q^{5}+2q^{6}+\cdots\)
2667.2.a.f \(2\) \(21.296\) \(\Q(\sqrt{17}) \) None None \(0\) \(2\) \(-3\) \(-2\) \(+\) \(q+q^{3}-2q^{4}+(-1-\beta )q^{5}-q^{7}+q^{9}+\cdots\)
2667.2.a.g \(2\) \(21.296\) \(\Q(\sqrt{2}) \) None None \(0\) \(2\) \(0\) \(2\) \(+\) \(q+\beta q^{2}+q^{3}-\beta q^{5}+\beta q^{6}+q^{7}-2\beta q^{8}+\cdots\)
2667.2.a.h \(2\) \(21.296\) \(\Q(\sqrt{6}) \) None None \(0\) \(2\) \(0\) \(2\) \(-\) \(q+\beta q^{2}+q^{3}+4q^{4}+\beta q^{5}+\beta q^{6}+\cdots\)
2667.2.a.i \(2\) \(21.296\) \(\Q(\sqrt{17}) \) None None \(1\) \(-2\) \(3\) \(-2\) \(-\) \(q+\beta q^{2}-q^{3}+(2+\beta )q^{4}+(1+\beta )q^{5}+\cdots\)
2667.2.a.j \(7\) \(21.296\) 7.7.118870813.1 None None \(-2\) \(7\) \(-8\) \(7\) \(+\) \(q+\beta _{4}q^{2}+q^{3}+(\beta _{1}+\beta _{2}+\beta _{3}-\beta _{4}+\cdots)q^{4}+\cdots\)
2667.2.a.k \(11\) \(21.296\) \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None None \(-2\) \(11\) \(1\) \(-11\) \(+\) \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}-\beta _{7}q^{5}+\cdots\)
2667.2.a.l \(13\) \(21.296\) \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None None \(4\) \(-13\) \(12\) \(13\) \(-\) \(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(1-\beta _{10}+\cdots)q^{5}+\cdots\)
2667.2.a.m \(14\) \(21.296\) \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None None \(-5\) \(-14\) \(-4\) \(-14\) \(+\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-\beta _{3}q^{5}+\cdots\)
2667.2.a.n \(16\) \(21.296\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(4\) \(16\) \(5\) \(-16\) \(-\) \(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+\beta _{7}q^{5}+\cdots\)
2667.2.a.o \(16\) \(21.296\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(5\) \(-16\) \(-1\) \(-16\) \(-\) \(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+\beta _{13}q^{5}+\cdots\)
2667.2.a.p \(18\) \(21.296\) \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None None \(-6\) \(-18\) \(-10\) \(18\) \(+\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(-1+\beta _{12}+\cdots)q^{5}+\cdots\)
2667.2.a.q \(19\) \(21.296\) \(\mathbb{Q}[x]/(x^{19} - \cdots)\) None None \(4\) \(19\) \(5\) \(19\) \(-\) \(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}-\beta _{10}q^{5}+\cdots\)
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