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Results (displaying all 29 matches)

Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 2 3 11 61
4026.2.a.a \(1\) \(32.148\) \(\Q\) None \(-1\) \(-1\) \(1\) \(-2\) \(+\) \(+\) \(+\) \(-\) \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-2q^{7}+\cdots\)
4026.2.a.b \(1\) \(32.148\) \(\Q\) None \(-1\) \(1\) \(3\) \(-4\) \(+\) \(-\) \(+\) \(-\) \(q-q^{2}+q^{3}+q^{4}+3q^{5}-q^{6}-4q^{7}+\cdots\)
4026.2.a.c \(1\) \(32.148\) \(\Q\) None \(-1\) \(1\) \(3\) \(-4\) \(+\) \(-\) \(-\) \(-\) \(q-q^{2}+q^{3}+q^{4}+3q^{5}-q^{6}-4q^{7}+\cdots\)
4026.2.a.d \(1\) \(32.148\) \(\Q\) None \(-1\) \(1\) \(4\) \(0\) \(+\) \(-\) \(-\) \(-\) \(q-q^{2}+q^{3}+q^{4}+4q^{5}-q^{6}-q^{8}+\cdots\)
4026.2.a.e \(1\) \(32.148\) \(\Q\) None \(-1\) \(1\) \(4\) \(4\) \(+\) \(-\) \(+\) \(+\) \(q-q^{2}+q^{3}+q^{4}+4q^{5}-q^{6}+4q^{7}+\cdots\)
4026.2.a.f \(1\) \(32.148\) \(\Q\) None \(1\) \(-1\) \(-1\) \(2\) \(-\) \(+\) \(+\) \(+\) \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+2q^{7}+\cdots\)
4026.2.a.g \(1\) \(32.148\) \(\Q\) None \(1\) \(-1\) \(2\) \(4\) \(-\) \(+\) \(-\) \(-\) \(q+q^{2}-q^{3}+q^{4}+2q^{5}-q^{6}+4q^{7}+\cdots\)
4026.2.a.h \(1\) \(32.148\) \(\Q\) None \(1\) \(-1\) \(3\) \(2\) \(-\) \(+\) \(+\) \(+\) \(q+q^{2}-q^{3}+q^{4}+3q^{5}-q^{6}+2q^{7}+\cdots\)
4026.2.a.i \(1\) \(32.148\) \(\Q\) None \(1\) \(1\) \(0\) \(-4\) \(-\) \(-\) \(+\) \(-\) \(q+q^{2}+q^{3}+q^{4}+q^{6}-4q^{7}+q^{8}+\cdots\)
4026.2.a.j \(1\) \(32.148\) \(\Q\) None \(1\) \(1\) \(2\) \(0\) \(-\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{3}+q^{4}+2q^{5}+q^{6}+q^{8}+\cdots\)
4026.2.a.k \(2\) \(32.148\) \(\Q(\sqrt{2}) \) None \(-2\) \(2\) \(-6\) \(4\) \(+\) \(-\) \(+\) \(+\) \(q-q^{2}+q^{3}+q^{4}+(-3+\beta )q^{5}-q^{6}+\cdots\)
4026.2.a.l \(2\) \(32.148\) \(\Q(\sqrt{17}) \) None \(2\) \(-2\) \(-3\) \(-2\) \(-\) \(+\) \(-\) \(-\) \(q+q^{2}-q^{3}+q^{4}+(-1-\beta )q^{5}-q^{6}+\cdots\)
4026.2.a.m \(2\) \(32.148\) \(\Q(\sqrt{5}) \) None \(2\) \(-2\) \(-2\) \(-1\) \(-\) \(+\) \(-\) \(+\) \(q+q^{2}-q^{3}+q^{4}-2\beta q^{5}-q^{6}+(-1+\cdots)q^{7}+\cdots\)
4026.2.a.n \(3\) \(32.148\) \(\Q(\zeta_{18})^+\) None \(-3\) \(3\) \(-3\) \(0\) \(+\) \(-\) \(-\) \(+\) \(q-q^{2}+q^{3}+q^{4}+(-1-\beta _{1})q^{5}-q^{6}+\cdots\)
4026.2.a.o \(3\) \(32.148\) 3.3.1129.1 None \(3\) \(-3\) \(-3\) \(-2\) \(-\) \(+\) \(-\) \(+\) \(q+q^{2}-q^{3}+q^{4}+(-1+\beta _{1})q^{5}-q^{6}+\cdots\)
4026.2.a.p \(3\) \(32.148\) \(\Q(\zeta_{14})^+\) None \(3\) \(3\) \(-5\) \(-6\) \(-\) \(-\) \(-\) \(-\) \(q+q^{2}+q^{3}+q^{4}+(-2-\beta _{2})q^{5}+q^{6}+\cdots\)
4026.2.a.q \(4\) \(32.148\) 4.4.6809.1 None \(-4\) \(-4\) \(0\) \(-2\) \(+\) \(+\) \(+\) \(-\) \(q-q^{2}-q^{3}+q^{4}+\beta _{1}q^{5}+q^{6}+(-1+\cdots)q^{7}+\cdots\)
4026.2.a.r \(4\) \(32.148\) 4.4.7537.1 None \(-4\) \(4\) \(1\) \(-4\) \(+\) \(-\) \(+\) \(-\) \(q-q^{2}+q^{3}+q^{4}-\beta _{2}q^{5}-q^{6}+(-1+\cdots)q^{7}+\cdots\)
4026.2.a.s \(4\) \(32.148\) 4.4.26825.1 None \(4\) \(-4\) \(3\) \(-2\) \(-\) \(+\) \(+\) \(+\) \(q+q^{2}-q^{3}+q^{4}+(1-\beta _{3})q^{5}-q^{6}+\cdots\)
4026.2.a.t \(4\) \(32.148\) 4.4.2777.1 None \(4\) \(4\) \(-4\) \(-6\) \(-\) \(-\) \(+\) \(+\) \(q+q^{2}+q^{3}+q^{4}+(-1-\beta _{2})q^{5}+q^{6}+\cdots\)
4026.2.a.u \(5\) \(32.148\) 5.5.9176805.1 None \(-5\) \(5\) \(-1\) \(-3\) \(+\) \(-\) \(+\) \(+\) \(q-q^{2}+q^{3}+q^{4}-\beta _{1}q^{5}-q^{6}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
4026.2.a.v \(5\) \(32.148\) 5.5.11492689.1 None \(5\) \(-5\) \(7\) \(0\) \(-\) \(+\) \(-\) \(-\) \(q+q^{2}-q^{3}+q^{4}+(1+\beta _{1})q^{5}-q^{6}+\cdots\)
4026.2.a.w \(6\) \(32.148\) 6.6.30998405.1 None \(-6\) \(-6\) \(-1\) \(5\) \(+\) \(+\) \(-\) \(-\) \(q-q^{2}-q^{3}+q^{4}-\beta _{2}q^{5}+q^{6}+(1+\cdots)q^{7}+\cdots\)
4026.2.a.x \(6\) \(32.148\) 6.6.46101901.1 None \(6\) \(-6\) \(-6\) \(1\) \(-\) \(+\) \(+\) \(-\) \(q+q^{2}-q^{3}+q^{4}+(-1+\beta _{3})q^{5}-q^{6}+\cdots\)
4026.2.a.y \(7\) \(32.148\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(-7\) \(-7\) \(-2\) \(1\) \(+\) \(+\) \(+\) \(+\) \(q-q^{2}-q^{3}+q^{4}-\beta _{1}q^{5}+q^{6}+\beta _{6}q^{7}+\cdots\)
4026.2.a.z \(7\) \(32.148\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(-7\) \(-7\) \(2\) \(-4\) \(+\) \(+\) \(-\) \(+\) \(q-q^{2}-q^{3}+q^{4}-\beta _{2}q^{5}+q^{6}+(\beta _{4}+\cdots)q^{7}+\cdots\)
4026.2.a.ba \(7\) \(32.148\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(-7\) \(7\) \(-5\) \(9\) \(+\) \(-\) \(-\) \(-\) \(q-q^{2}+q^{3}+q^{4}+(-1+\beta _{1})q^{5}-q^{6}+\cdots\)
4026.2.a.bb \(8\) \(32.148\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(8\) \(8\) \(5\) \(13\) \(-\) \(-\) \(+\) \(-\) \(q+q^{2}+q^{3}+q^{4}+(1+\beta _{5})q^{5}+q^{6}+\cdots\)
4026.2.a.bc \(9\) \(32.148\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(9\) \(9\) \(8\) \(9\) \(-\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{3}+q^{4}+(1-\beta _{1})q^{5}+q^{6}+\cdots\)


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