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Results (displaying all 30 matches)

Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 2 3 13 103
8034.2.a.a \(1\) \(64.152\) \(\Q\) None \(-1\) \(-1\) \(-4\) \(1\) \(+\) \(+\) \(-\) \(+\) \(q-q^{2}-q^{3}+q^{4}-4q^{5}+q^{6}+q^{7}+\cdots\)
8034.2.a.b \(1\) \(64.152\) \(\Q\) None \(-1\) \(-1\) \(0\) \(-3\) \(+\) \(+\) \(-\) \(-\) \(q-q^{2}-q^{3}+q^{4}+q^{6}-3q^{7}-q^{8}+\cdots\)
8034.2.a.c \(1\) \(64.152\) \(\Q\) None \(-1\) \(1\) \(1\) \(3\) \(+\) \(-\) \(+\) \(+\) \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+3q^{7}+\cdots\)
8034.2.a.d \(1\) \(64.152\) \(\Q\) None \(1\) \(-1\) \(-2\) \(-5\) \(-\) \(+\) \(-\) \(-\) \(q+q^{2}-q^{3}+q^{4}-2q^{5}-q^{6}-5q^{7}+\cdots\)
8034.2.a.e \(1\) \(64.152\) \(\Q\) None \(1\) \(-1\) \(-2\) \(4\) \(-\) \(+\) \(-\) \(-\) \(q+q^{2}-q^{3}+q^{4}-2q^{5}-q^{6}+4q^{7}+\cdots\)
8034.2.a.f \(1\) \(64.152\) \(\Q\) None \(1\) \(-1\) \(4\) \(-5\) \(-\) \(+\) \(-\) \(-\) \(q+q^{2}-q^{3}+q^{4}+4q^{5}-q^{6}-5q^{7}+\cdots\)
8034.2.a.g \(1\) \(64.152\) \(\Q\) None \(1\) \(1\) \(-2\) \(-4\) \(-\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{3}+q^{4}-2q^{5}+q^{6}-4q^{7}+\cdots\)
8034.2.a.h \(1\) \(64.152\) \(\Q\) None \(1\) \(1\) \(0\) \(-1\) \(-\) \(-\) \(+\) \(+\) \(q+q^{2}+q^{3}+q^{4}+q^{6}-q^{7}+q^{8}+\cdots\)
8034.2.a.i \(1\) \(64.152\) \(\Q\) None \(1\) \(1\) \(0\) \(0\) \(-\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots\)
8034.2.a.j \(1\) \(64.152\) \(\Q\) None \(1\) \(1\) \(2\) \(0\) \(-\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{3}+q^{4}+2q^{5}+q^{6}+q^{8}+\cdots\)
8034.2.a.k \(1\) \(64.152\) \(\Q\) None \(1\) \(1\) \(4\) \(-1\) \(-\) \(-\) \(+\) \(-\) \(q+q^{2}+q^{3}+q^{4}+4q^{5}+q^{6}-q^{7}+\cdots\)
8034.2.a.l \(2\) \(64.152\) \(\Q(\sqrt{17}) \) None \(-2\) \(-2\) \(-4\) \(3\) \(+\) \(+\) \(+\) \(+\) \(q-q^{2}-q^{3}+q^{4}-2q^{5}+q^{6}+(1+\beta )q^{7}+\cdots\)
8034.2.a.m \(2\) \(64.152\) \(\Q(\sqrt{65}) \) None \(-2\) \(-2\) \(0\) \(2\) \(+\) \(+\) \(-\) \(-\) \(q-q^{2}-q^{3}+q^{4}+q^{6}+q^{7}-q^{8}+\cdots\)
8034.2.a.n \(4\) \(64.152\) 4.4.72329.1 None \(4\) \(4\) \(2\) \(5\) \(-\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{3}+q^{4}+(1+\beta _{2})q^{5}+q^{6}+\cdots\)
8034.2.a.o \(7\) \(64.152\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(-7\) \(-7\) \(2\) \(-9\) \(+\) \(+\) \(-\) \(-\) \(q-q^{2}-q^{3}+q^{4}+(1-\beta _{1}+\beta _{2}+\beta _{4}+\cdots)q^{5}+\cdots\)
8034.2.a.p \(8\) \(64.152\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(8\) \(8\) \(-8\) \(-6\) \(-\) \(-\) \(-\) \(-\) \(q+q^{2}+q^{3}+q^{4}+(-1+\beta _{5}+\beta _{7})q^{5}+\cdots\)
8034.2.a.q \(8\) \(64.152\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(8\) \(8\) \(-6\) \(-3\) \(-\) \(-\) \(+\) \(+\) \(q+q^{2}+q^{3}+q^{4}+(-1+\beta _{1})q^{5}+q^{6}+\cdots\)
8034.2.a.r \(9\) \(64.152\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(9\) \(-9\) \(-4\) \(-4\) \(-\) \(+\) \(-\) \(+\) \(q+q^{2}-q^{3}+q^{4}-\beta _{1}q^{5}-q^{6}-\beta _{3}q^{7}+\cdots\)
8034.2.a.s \(10\) \(64.152\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(-10\) \(-10\) \(6\) \(-9\) \(+\) \(+\) \(+\) \(+\) \(q-q^{2}-q^{3}+q^{4}+(1+\beta _{8})q^{5}+q^{6}+\cdots\)
8034.2.a.t \(11\) \(64.152\) \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None \(-11\) \(11\) \(4\) \(4\) \(+\) \(-\) \(+\) \(+\) \(q-q^{2}+q^{3}+q^{4}+\beta _{1}q^{5}-q^{6}-\beta _{8}q^{7}+\cdots\)
8034.2.a.u \(11\) \(64.152\) \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None \(11\) \(-11\) \(-2\) \(-2\) \(-\) \(+\) \(+\) \(-\) \(q+q^{2}-q^{3}+q^{4}+\beta _{9}q^{5}-q^{6}-\beta _{10}q^{7}+\cdots\)
8034.2.a.v \(11\) \(64.152\) \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None \(11\) \(11\) \(5\) \(4\) \(-\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{3}+q^{4}+\beta _{1}q^{5}+q^{6}-\beta _{9}q^{7}+\cdots\)
8034.2.a.w \(12\) \(64.152\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-12\) \(12\) \(-4\) \(0\) \(+\) \(-\) \(-\) \(+\) \(q-q^{2}+q^{3}+q^{4}+\beta _{11}q^{5}-q^{6}-\beta _{9}q^{7}+\cdots\)
8034.2.a.x \(13\) \(64.152\) \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None \(-13\) \(13\) \(1\) \(-1\) \(+\) \(-\) \(-\) \(-\) \(q-q^{2}+q^{3}+q^{4}+\beta _{1}q^{5}-q^{6}+\beta _{3}q^{7}+\cdots\)
8034.2.a.y \(13\) \(64.152\) \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None \(13\) \(-13\) \(3\) \(5\) \(-\) \(+\) \(-\) \(-\) \(q+q^{2}-q^{3}+q^{4}+\beta _{8}q^{5}-q^{6}+\beta _{1}q^{7}+\cdots\)
8034.2.a.z \(14\) \(64.152\) \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(-14\) \(-14\) \(-3\) \(4\) \(+\) \(+\) \(-\) \(+\) \(q-q^{2}-q^{3}+q^{4}-\beta _{1}q^{5}+q^{6}+\beta _{6}q^{7}+\cdots\)
8034.2.a.ba \(14\) \(64.152\) \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(-14\) \(-14\) \(-1\) \(5\) \(+\) \(+\) \(+\) \(-\) \(q-q^{2}-q^{3}+q^{4}-\beta _{1}q^{5}+q^{6}-\beta _{7}q^{7}+\cdots\)
8034.2.a.bb \(14\) \(64.152\) \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(-14\) \(14\) \(-6\) \(-4\) \(+\) \(-\) \(+\) \(-\) \(q-q^{2}+q^{3}+q^{4}-\beta _{1}q^{5}-q^{6}+\beta _{6}q^{7}+\cdots\)
8034.2.a.bc \(15\) \(64.152\) \(\mathbb{Q}[x]/(x^{15} - \cdots)\) None \(15\) \(-15\) \(-1\) \(5\) \(-\) \(+\) \(+\) \(+\) \(q+q^{2}-q^{3}+q^{4}-\beta _{1}q^{5}-q^{6}-\beta _{12}q^{7}+\cdots\)
8034.2.a.bd \(16\) \(64.152\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(16\) \(16\) \(5\) \(4\) \(-\) \(-\) \(+\) \(-\) \(q+q^{2}+q^{3}+q^{4}+\beta _{1}q^{5}+q^{6}-\beta _{9}q^{7}+\cdots\)


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