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Results (displaying matches 1-50 of 239) Next

Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
288.1.e.a \(2\) \(0.144\) \(\Q(\sqrt{-2}) \) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\beta q^{5}+\beta q^{17}-q^{25}+\beta q^{29}-2q^{37}+\cdots\)
288.1.o.a \(4\) \(0.144\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(2\) \(0\) \(q-\zeta_{12}^{3}q^{3}+\zeta_{12}^{2}q^{5}+\zeta_{12}q^{7}-q^{9}+\cdots\)
288.1.t.a \(2\) \(0.144\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-2}) \) None \(0\) \(1\) \(0\) \(0\) \(q-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{9}+\zeta_{6}^{2}q^{11}-q^{17}+\cdots\)
288.2.a.a \(1\) \(2.300\) \(\Q\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-4\) \(0\) \(+\) \(q-4q^{5}-6q^{13}-8q^{17}+11q^{25}+\cdots\)
288.2.a.b \(1\) \(2.300\) \(\Q\) None None \(0\) \(0\) \(-2\) \(-4\) \(+\) \(q-2q^{5}-4q^{7}-4q^{11}-2q^{13}+6q^{17}+\cdots\)
288.2.a.c \(1\) \(2.300\) \(\Q\) None None \(0\) \(0\) \(-2\) \(4\) \(-\) \(q-2q^{5}+4q^{7}+4q^{11}-2q^{13}+6q^{17}+\cdots\)
288.2.a.d \(1\) \(2.300\) \(\Q\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(2\) \(0\) \(-\) \(q+2q^{5}+6q^{13}-2q^{17}-q^{25}+10q^{29}+\cdots\)
288.2.a.e \(1\) \(2.300\) \(\Q\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(4\) \(0\) \(-\) \(q+4q^{5}-6q^{13}+8q^{17}+11q^{25}+\cdots\)
288.2.c.a \(4\) \(2.300\) \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}^{2}q^{5}+\zeta_{8}q^{7}+\zeta_{8}^{3}q^{11}+4q^{13}+\cdots\)
288.2.d.a \(2\) \(2.300\) \(\Q(\sqrt{-2}) \) \(\Q(\sqrt{-6}) \) None \(0\) \(0\) \(0\) \(-4\) \(q+\beta q^{5}-2q^{7}+2\beta q^{11}-3q^{25}+\beta q^{29}+\cdots\)
288.2.d.b \(2\) \(2.300\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(0\) \(4\) \(q+iq^{5}+2q^{7}+2iq^{13}+2q^{17}+2iq^{19}+\cdots\)
288.2.f.a \(4\) \(2.300\) \(\Q(\sqrt{-2}, \sqrt{-3})\) None None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{2}q^{5}-\beta _{3}q^{7}-2\beta _{1}q^{11}-\beta _{3}q^{13}+\cdots\)
288.2.i.a \(2\) \(2.300\) \(\Q(\sqrt{-3}) \) None None \(0\) \(-3\) \(-4\) \(-2\) \(q+(-1-\zeta_{6})q^{3}-4\zeta_{6}q^{5}+(-2+2\zeta_{6})q^{7}+\cdots\)
288.2.i.b \(2\) \(2.300\) \(\Q(\sqrt{-3}) \) None None \(0\) \(3\) \(-4\) \(2\) \(q+(1+\zeta_{6})q^{3}-4\zeta_{6}q^{5}+(2-2\zeta_{6})q^{7}+\cdots\)
288.2.i.c \(4\) \(2.300\) \(\Q(\sqrt{-2}, \sqrt{-3})\) None None \(0\) \(-4\) \(2\) \(2\) \(q+(-1+\beta _{3})q^{3}+\beta _{2}q^{5}+(1-\beta _{1}-\beta _{2}+\cdots)q^{7}+\cdots\)
288.2.i.d \(4\) \(2.300\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(2\) \(0\) \(q-\zeta_{12}^{3}q^{3}+(1-\zeta_{12})q^{5}+\zeta_{12}^{2}q^{7}+\cdots\)
288.2.i.e \(4\) \(2.300\) \(\Q(\sqrt{-2}, \sqrt{-3})\) None None \(0\) \(4\) \(2\) \(-2\) \(q+(1-\beta _{3})q^{3}+(1-\beta _{2})q^{5}+(-\beta _{1}-\beta _{2}+\cdots)q^{7}+\cdots\)
288.2.i.f \(8\) \(2.300\) 8.0.170772624.1 None None \(0\) \(0\) \(2\) \(0\) \(q+(-\beta _{1}+\beta _{5})q^{3}+(1-\beta _{4}+\beta _{7})q^{5}+\cdots\)
288.2.p.a \(4\) \(2.300\) \(\Q(\sqrt{-2}, \sqrt{-3})\) \(\Q(\sqrt{-2}) \) None \(0\) \(-2\) \(0\) \(0\) \(q+(\beta _{1}-\beta _{2}-\beta _{3})q^{3}+(1-2\beta _{1}-\beta _{2}+\cdots)q^{9}+\cdots\)
288.2.p.b \(16\) \(2.300\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(0\) \(6\) \(0\) \(0\) \(q+(-\beta _{1}+\beta _{3}-\beta _{8})q^{3}-\beta _{9}q^{5}-\beta _{4}q^{7}+\cdots\)
288.2.r.a \(4\) \(2.300\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(0\) \(8\) \(q+(-\zeta_{12}-\zeta_{12}^{3})q^{3}+2\zeta_{12}q^{5}+4\zeta_{12}^{2}q^{7}+\cdots\)
288.2.r.b \(16\) \(2.300\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(0\) \(0\) \(0\) \(-6\) \(q-\beta _{12}q^{3}+(-\beta _{4}-\beta _{7}+\beta _{8}-\beta _{11}+\cdots)q^{5}+\cdots\)
288.2.s.a \(24\) \(2.300\) None None \(0\) \(0\) \(0\) \(0\)
288.2.v.a \(4\) \(2.300\) \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(4\) \(4\) \(q+(\zeta_{8}+\zeta_{8}^{3})q^{2}-2q^{4}+(1+\zeta_{8}+2\zeta_{8}^{2}+\cdots)q^{5}+\cdots\)
288.2.v.b \(8\) \(2.300\) 8.0.18939904.2 None None \(4\) \(0\) \(0\) \(-8\) \(q+\beta _{2}q^{2}+(\beta _{2}-\beta _{3}+\beta _{6})q^{4}+(\beta _{6}+\beta _{7})q^{5}+\cdots\)
288.2.v.c \(32\) \(2.300\) None None \(0\) \(0\) \(0\) \(0\)
288.2.v.d \(32\) \(2.300\) None None \(0\) \(0\) \(0\) \(0\)
288.2.w.a \(32\) \(2.300\) None None \(-4\) \(0\) \(0\) \(0\)
288.2.w.b \(32\) \(2.300\) None None \(4\) \(0\) \(0\) \(0\)
288.2.bc.a \(368\) \(2.300\) None None \(-4\) \(-8\) \(-4\) \(-4\)
288.2.bf.a \(368\) \(2.300\) None None \(-12\) \(-8\) \(-12\) \(-4\)
288.3.b.a \(1\) \(7.847\) \(\Q\) \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q+14q^{11}-2q^{17}+34q^{19}+5^{2}q^{25}+\cdots\)
288.3.b.b \(4\) \(7.847\) 4.0.4752.1 None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{5}+(-\beta _{1}-\beta _{2})q^{7}-8q^{11}+\cdots\)
288.3.b.c \(4\) \(7.847\) \(\Q(\sqrt{-6}, \sqrt{10})\) None None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{1}q^{5}-\beta _{2}q^{7}-\beta _{3}q^{11}+2\beta _{2}q^{13}+\cdots\)
288.3.e.a \(2\) \(7.847\) \(\Q(\sqrt{-2}) \) None None \(0\) \(0\) \(0\) \(-16\) \(q+\beta q^{5}-8q^{7}-8\beta q^{11}-8q^{13}-9\beta q^{17}+\cdots\)
288.3.e.b \(2\) \(7.847\) \(\Q(\sqrt{-2}) \) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+7\beta q^{5}-24q^{13}-7\beta q^{17}-73q^{25}+\cdots\)
288.3.e.c \(2\) \(7.847\) \(\Q(\sqrt{-2}) \) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\beta q^{5}+24q^{13}+23\beta q^{17}+23q^{25}+\cdots\)
288.3.e.d \(2\) \(7.847\) \(\Q(\sqrt{-2}) \) None None \(0\) \(0\) \(0\) \(16\) \(q+\beta q^{5}+8q^{7}+8\beta q^{11}-8q^{13}-9\beta q^{17}+\cdots\)
288.3.g.a \(2\) \(7.847\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(-8\) \(0\) \(q-4q^{5}+iq^{7}-4iq^{11}-2q^{13}-24q^{17}+\cdots\)
288.3.g.b \(2\) \(7.847\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(-4\) \(0\) \(q-2q^{5}+2iq^{7}-iq^{11}-14q^{13}+\cdots\)
288.3.g.c \(2\) \(7.847\) \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(8\) \(0\) \(q+4q^{5}+iq^{7}+4iq^{11}-2q^{13}+24q^{17}+\cdots\)
288.3.g.d \(4\) \(7.847\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(8\) \(0\) \(q+(2+\zeta_{12}^{2})q^{5}+(-\zeta_{12}-\zeta_{12}^{3})q^{7}+\cdots\)
288.3.h.a \(8\) \(7.847\) 8.0.\(\cdots\).2 None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{2}q^{5}+\beta _{4}q^{7}+(-\beta _{2}-\beta _{3})q^{11}+\cdots\)
288.3.n.a \(44\) \(7.847\) None None \(0\) \(0\) \(0\) \(2\)
288.3.o.a \(4\) \(7.847\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(-14\) \(0\) \(q+3\zeta_{12}^{3}q^{3}-7\zeta_{12}^{2}q^{5}+5\zeta_{12}q^{7}+\cdots\)
288.3.o.b \(20\) \(7.847\) \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None None \(0\) \(0\) \(14\) \(0\) \(q+\beta _{2}q^{3}+(\beta _{1}-\beta _{4}+\beta _{7})q^{5}+(\beta _{15}+\cdots)q^{7}+\cdots\)
288.3.o.c \(24\) \(7.847\) None None \(0\) \(0\) \(0\) \(0\)
288.3.q.a \(24\) \(7.847\) None None \(0\) \(0\) \(0\) \(0\)
288.3.q.b \(24\) \(7.847\) None None \(0\) \(0\) \(0\) \(0\)
288.3.t.a \(4\) \(7.847\) \(\Q(\sqrt{-2}, \sqrt{-3})\) \(\Q(\sqrt{-2}) \) None \(0\) \(-2\) \(0\) \(0\) \(q+(-\beta _{1}-\beta _{2}+\beta _{3})q^{3}+(7+2\beta _{1}-7\beta _{2}+\cdots)q^{9}+\cdots\)
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