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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
192.1.h.a \(2\) \(0.096\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-2}) \) \(\Q(\sqrt{6}) \) \(0\) \(0\) \(0\) \(0\) \(q-iq^{3}-q^{9}+iq^{19}-q^{25}+iq^{27}+\cdots\)
192.2.a.a \(1\) \(1.533\) \(\Q\) None None \(0\) \(-1\) \(-2\) \(-4\) \(+\) \(q-q^{3}-2q^{5}-4q^{7}+q^{9}-4q^{11}+\cdots\)
192.2.a.b \(1\) \(1.533\) \(\Q\) None None \(0\) \(-1\) \(2\) \(0\) \(-\) \(q-q^{3}+2q^{5}+q^{9}+4q^{11}+2q^{13}+\cdots\)
192.2.a.c \(1\) \(1.533\) \(\Q\) None None \(0\) \(1\) \(-2\) \(4\) \(-\) \(q+q^{3}-2q^{5}+4q^{7}+q^{9}+4q^{11}+\cdots\)
192.2.a.d \(1\) \(1.533\) \(\Q\) None None \(0\) \(1\) \(2\) \(0\) \(-\) \(q+q^{3}+2q^{5}+q^{9}-4q^{11}+2q^{13}+\cdots\)
192.2.c.a \(2\) \(1.533\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{6}q^{3}-2\zeta_{6}q^{7}-3q^{9}+2q^{13}+\cdots\)
192.2.c.b \(4\) \(1.533\) \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}q^{3}-\zeta_{8}^{3}q^{5}+(\zeta_{8}-\zeta_{8}^{2})q^{7}+\cdots\)
192.2.d.a \(4\) \(1.533\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}q^{3}-\zeta_{12}^{2}q^{5}+\zeta_{12}^{3}q^{7}-q^{9}+\cdots\)
192.2.f.a \(4\) \(1.533\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-6}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}^{2}q^{3}-\zeta_{12}^{3}q^{5}+\zeta_{12}q^{7}-3q^{9}+\cdots\)
192.2.f.b \(4\) \(1.533\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}q^{3}-\zeta_{12}^{3}q^{7}+3q^{9}-\zeta_{12}^{2}q^{13}+\cdots\)
192.2.j.a \(8\) \(1.533\) 8.0.18939904.2 None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{2}q^{3}+(-\beta _{3}+\beta _{5})q^{5}+(\beta _{4}+\beta _{5}+\cdots)q^{7}+\cdots\)
192.2.k.a \(12\) \(1.533\) 12.0.\(\cdots\).2 None None \(0\) \(2\) \(0\) \(8\) \(q-\beta _{10}q^{3}+\beta _{7}q^{5}+(1-\beta _{11})q^{7}+(\beta _{3}+\cdots)q^{9}+\cdots\)
192.2.r.a \(128\) \(1.533\) None None \(0\) \(0\) \(0\) \(0\)
192.2.s.a \(240\) \(1.533\) None None \(0\) \(-8\) \(0\) \(-16\)
192.3.b.a \(4\) \(5.232\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}q^{3}-\zeta_{12}^{2}q^{5}+\zeta_{12}^{3}q^{7}+3q^{9}+\cdots\)
192.3.b.b \(4\) \(5.232\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}q^{3}-\zeta_{12}^{2}q^{5}+5\zeta_{12}^{3}q^{7}+\cdots\)
192.3.e.a \(1\) \(5.232\) \(\Q\) \(\Q(\sqrt{-3}) \) None \(0\) \(-3\) \(0\) \(-2\) \(q-3q^{3}-2q^{7}+9q^{9}+22q^{13}+26q^{19}+\cdots\)
192.3.e.b \(1\) \(5.232\) \(\Q\) \(\Q(\sqrt{-3}) \) None \(0\) \(3\) \(0\) \(2\) \(q+3q^{3}+2q^{7}+9q^{9}+22q^{13}-26q^{19}+\cdots\)
192.3.e.c \(2\) \(5.232\) \(\Q(\sqrt{-2}) \) None None \(0\) \(-2\) \(0\) \(-12\) \(q+(-1+\beta )q^{3}-2\beta q^{5}-6q^{7}+(-7+\cdots)q^{9}+\cdots\)
192.3.e.d \(2\) \(5.232\) \(\Q(\sqrt{-2}) \) None None \(0\) \(2\) \(0\) \(12\) \(q+(1+\beta )q^{3}+2\beta q^{5}+6q^{7}+(-7+2\beta )q^{9}+\cdots\)
192.3.e.e \(4\) \(5.232\) \(\Q(\sqrt{-2}, \sqrt{3})\) None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{3}-\beta _{2}q^{5}+(-2\beta _{1}+\beta _{3})q^{7}+\cdots\)
192.3.e.f \(4\) \(5.232\) \(\Q(\sqrt{-2}, \sqrt{7})\) None None \(0\) \(0\) \(0\) \(0\) \(q+(\beta _{1}+\beta _{3})q^{3}+\beta _{2}q^{5}+(\beta _{1}+2\beta _{3})q^{7}+\cdots\)
192.3.g.a \(2\) \(5.232\) \(\Q(\sqrt{-3}) \) None None \(0\) \(0\) \(-12\) \(0\) \(q-\zeta_{6}q^{3}-6q^{5}+4\zeta_{6}q^{7}-3q^{9}+12\zeta_{6}q^{11}+\cdots\)
192.3.g.b \(2\) \(5.232\) \(\Q(\sqrt{-3}) \) None None \(0\) \(0\) \(4\) \(0\) \(q-\zeta_{6}q^{3}+2q^{5}-4\zeta_{6}q^{7}-3q^{9}-4\zeta_{6}q^{11}+\cdots\)
192.3.g.c \(4\) \(5.232\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(8\) \(0\) \(q-\zeta_{12}^{2}q^{3}+(2-\zeta_{12}^{3})q^{5}+(-\zeta_{12}+\cdots)q^{7}+\cdots\)
192.3.h.a \(4\) \(5.232\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+3\zeta_{12}q^{3}-\zeta_{12}^{3}q^{7}-9q^{9}-\zeta_{12}^{2}q^{13}+\cdots\)
192.3.h.b \(4\) \(5.232\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}^{2}q^{3}+(7-\zeta_{8}^{3})q^{9}+(-3\zeta_{8}-6\zeta_{8}^{2}+\cdots)q^{11}+\cdots\)
192.3.h.c \(8\) \(5.232\) 8.0.12960000.1 None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{2}q^{3}-\beta _{4}q^{5}-\beta _{1}q^{7}+(1-\beta _{5}+\cdots)q^{9}+\cdots\)
192.3.i.a \(8\) \(5.232\) 8.0.629407744.1 None None \(0\) \(-4\) \(0\) \(0\) \(q+(-\beta _{1}-\beta _{2}-\beta _{3}-\beta _{6}-\beta _{7})q^{3}+\cdots\)
192.3.i.b \(20\) \(5.232\) \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None None \(0\) \(6\) \(0\) \(0\) \(q+\beta _{4}q^{3}+(\beta _{8}-\beta _{9}-\beta _{10})q^{5}-\beta _{6}q^{7}+\cdots\)
192.3.l.a \(16\) \(5.232\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{2}q^{3}-\beta _{9}q^{5}+\beta _{5}q^{7}-3\beta _{4}q^{9}+\cdots\)
192.3.q.a \(496\) \(5.232\) None None \(0\) \(-8\) \(0\) \(-16\)
192.3.t.a \(256\) \(5.232\) None None \(0\) \(0\) \(0\) \(0\)
192.4.a.a \(1\) \(11.328\) \(\Q\) None None \(0\) \(-3\) \(-14\) \(-24\) \(+\) \(q-3q^{3}-14q^{5}-24q^{7}+9q^{9}+28q^{11}+\cdots\)
192.4.a.b \(1\) \(11.328\) \(\Q\) None None \(0\) \(-3\) \(-10\) \(4\) \(+\) \(q-3q^{3}-10q^{5}+4q^{7}+9q^{9}+20q^{11}+\cdots\)
192.4.a.c \(1\) \(11.328\) \(\Q\) None None \(0\) \(-3\) \(-6\) \(16\) \(-\) \(q-3q^{3}-6q^{5}+2^{4}q^{7}+9q^{9}+12q^{11}+\cdots\)
192.4.a.d \(1\) \(11.328\) \(\Q\) None None \(0\) \(-3\) \(-2\) \(12\) \(-\) \(q-3q^{3}-2q^{5}+12q^{7}+9q^{9}-60q^{11}+\cdots\)
192.4.a.e \(1\) \(11.328\) \(\Q\) None None \(0\) \(-3\) \(14\) \(-36\) \(-\) \(q-3q^{3}+14q^{5}-6^{2}q^{7}+9q^{9}+6^{2}q^{11}+\cdots\)
192.4.a.f \(1\) \(11.328\) \(\Q\) None None \(0\) \(-3\) \(18\) \(8\) \(+\) \(q-3q^{3}+18q^{5}+8q^{7}+9q^{9}-6^{2}q^{11}+\cdots\)
192.4.a.g \(1\) \(11.328\) \(\Q\) None None \(0\) \(3\) \(-14\) \(24\) \(+\) \(q+3q^{3}-14q^{5}+24q^{7}+9q^{9}-28q^{11}+\cdots\)
192.4.a.h \(1\) \(11.328\) \(\Q\) None None \(0\) \(3\) \(-10\) \(-4\) \(-\) \(q+3q^{3}-10q^{5}-4q^{7}+9q^{9}-20q^{11}+\cdots\)
192.4.a.i \(1\) \(11.328\) \(\Q\) None None \(0\) \(3\) \(-6\) \(-16\) \(-\) \(q+3q^{3}-6q^{5}-2^{4}q^{7}+9q^{9}-12q^{11}+\cdots\)
192.4.a.j \(1\) \(11.328\) \(\Q\) None None \(0\) \(3\) \(-2\) \(-12\) \(+\) \(q+3q^{3}-2q^{5}-12q^{7}+9q^{9}+60q^{11}+\cdots\)
192.4.a.k \(1\) \(11.328\) \(\Q\) None None \(0\) \(3\) \(14\) \(36\) \(+\) \(q+3q^{3}+14q^{5}+6^{2}q^{7}+9q^{9}-6^{2}q^{11}+\cdots\)
192.4.a.l \(1\) \(11.328\) \(\Q\) None None \(0\) \(3\) \(18\) \(-8\) \(+\) \(q+3q^{3}+18q^{5}-8q^{7}+9q^{9}+6^{2}q^{11}+\cdots\)
192.4.c.a \(2\) \(11.328\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{6}q^{3}-6\zeta_{6}q^{7}-3^{3}q^{9}-70q^{13}+\cdots\)
192.4.c.b \(4\) \(11.328\) \(\Q(\sqrt{3}, \sqrt{-5})\) None None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{3}q^{3}+\beta _{2}q^{5}+(\beta _{1}-\beta _{3})q^{7}+(-3+\cdots)q^{9}+\cdots\)
192.4.c.c \(4\) \(11.328\) \(\Q(\sqrt{-2}, \sqrt{-3})\) None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{2}q^{3}+\beta _{3}q^{5}-5\beta _{1}q^{7}+(21-\beta _{3})q^{9}+\cdots\)
192.4.c.d \(12\) \(11.328\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{4}q^{3}+\beta _{8}q^{5}+\beta _{1}q^{7}+(-2+\beta _{5}+\cdots)q^{9}+\cdots\)
192.4.d.a \(4\) \(11.328\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(0\) \(0\) \(q-3\zeta_{12}q^{3}-3\zeta_{12}^{2}q^{5}-\zeta_{12}^{3}q^{7}+\cdots\)
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