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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
3900.1.f.a \(2\) \(1.946\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(-2\) \(0\) \(0\) \(q-q^{3}+(\zeta_{6}+\zeta_{6}^{2})q^{7}+q^{9}+\zeta_{6}q^{13}+\cdots\)
3900.1.f.b \(2\) \(1.946\) \(\Q(\sqrt{-3}) \) None \(\Q(\sqrt{13}) \) \(0\) \(-1\) \(0\) \(0\) \(q+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{9}+q^{13}+(\zeta_{6}+\zeta_{6}^{2}+\cdots)q^{23}+\cdots\)
3900.1.f.c \(2\) \(1.946\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-195}) \) None \(0\) \(0\) \(0\) \(0\) \(q-iq^{3}-iq^{7}-q^{9}-q^{11}-iq^{13}+\cdots\)
3900.1.f.d \(2\) \(1.946\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-195}) \) None \(0\) \(0\) \(0\) \(0\) \(q+iq^{3}-iq^{7}-q^{9}+q^{11}-iq^{13}+\cdots\)
3900.1.f.e \(2\) \(1.946\) \(\Q(\sqrt{-3}) \) None \(\Q(\sqrt{13}) \) \(0\) \(1\) \(0\) \(0\) \(q-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{9}-q^{13}+(-\zeta_{6}-\zeta_{6}^{2}+\cdots)q^{23}+\cdots\)
3900.1.f.f \(2\) \(1.946\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(2\) \(0\) \(0\) \(q+q^{3}+(\zeta_{6}+\zeta_{6}^{2})q^{7}+q^{9}+\zeta_{6}^{2}q^{13}+\cdots\)
3900.1.o.a \(4\) \(1.946\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}^{3}q^{3}+(-\zeta_{12}+\zeta_{12}^{5})q^{7}-q^{9}+\cdots\)
3900.1.o.b \(4\) \(1.946\) \(\Q(\zeta_{12})\) None \(\Q(\sqrt{13}) \) \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}q^{3}+\zeta_{12}^{2}q^{9}+\zeta_{12}^{3}q^{13}+\cdots\)
3900.1.t.a \(4\) \(1.946\) \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}^{3}q^{3}+\zeta_{8}^{2}q^{7}-\zeta_{8}^{2}q^{9}-\zeta_{8}q^{11}+\cdots\)
3900.1.t.b \(8\) \(1.946\) \(\Q(\zeta_{24})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{9}q^{3}+(-\zeta_{24}^{5}-\zeta_{24}^{7})q^{7}+\cdots\)
3900.1.w.a \(4\) \(1.946\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-65}) \) None \(0\) \(-4\) \(0\) \(0\) \(q-\zeta_{8}q^{2}-q^{3}+\zeta_{8}^{2}q^{4}+\zeta_{8}q^{6}-\zeta_{8}^{3}q^{8}+\cdots\)
3900.1.w.b \(4\) \(1.946\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-65}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}q^{2}+\zeta_{8}^{2}q^{3}+\zeta_{8}^{2}q^{4}-\zeta_{8}^{3}q^{6}+\cdots\)
3900.1.w.c \(4\) \(1.946\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-65}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}q^{2}-\zeta_{8}^{2}q^{3}+\zeta_{8}^{2}q^{4}+\zeta_{8}^{3}q^{6}+\cdots\)
3900.1.w.d \(4\) \(1.946\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-65}) \) None \(0\) \(4\) \(0\) \(0\) \(q-\zeta_{8}q^{2}+q^{3}+\zeta_{8}^{2}q^{4}-\zeta_{8}q^{6}-\zeta_{8}^{3}q^{8}+\cdots\)
3900.1.w.e \(8\) \(1.946\) \(\Q(\zeta_{16})\) \(\Q(\sqrt{-39}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{16}q^{2}+\zeta_{16}^{2}q^{3}+\zeta_{16}^{2}q^{4}-\zeta_{16}^{3}q^{6}+\cdots\)
3900.1.w.f \(8\) \(1.946\) \(\Q(\zeta_{16})\) \(\Q(\sqrt{-39}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{16}^{3}q^{2}-\zeta_{16}^{2}q^{3}+\zeta_{16}^{6}q^{4}+\cdots\)
3900.1.bo.a \(4\) \(1.946\) \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(0\) \(-4\) \(q-\zeta_{8}q^{3}-q^{7}+\zeta_{8}^{2}q^{9}-\zeta_{8}q^{11}+\cdots\)
3900.1.bo.b \(8\) \(1.946\) \(\Q(\zeta_{24})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{24}^{3}q^{3}+(-\zeta_{24}+\zeta_{24}^{11})q^{7}+\cdots\)
3900.1.br.a \(4\) \(1.946\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}^{5}q^{3}-\zeta_{12}^{4}q^{9}+\zeta_{12}^{5}q^{13}+\cdots\)
3900.1.br.b \(4\) \(1.946\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}^{5}q^{3}+(-\zeta_{12}^{3}-\zeta_{12}^{5})q^{7}+\cdots\)
3900.1.bu.a \(2\) \(1.946\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(-2\) \(q+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{7}-\zeta_{6}q^{9}+\zeta_{6}^{2}q^{13}+\cdots\)
3900.1.bu.b \(2\) \(1.946\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(-1\) \(q-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{7}-\zeta_{6}q^{9}+\zeta_{6}q^{13}+\cdots\)
3900.1.bu.c \(2\) \(1.946\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(2\) \(q-\zeta_{6}^{2}q^{3}+\zeta_{6}q^{7}-\zeta_{6}q^{9}-\zeta_{6}^{2}q^{13}+\cdots\)
3900.1.ca.a \(2\) \(1.946\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(0\) \(q+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{9}+\zeta_{6}^{2}q^{13}+(1-\zeta_{6}^{2}+\cdots)q^{19}+\cdots\)
3900.1.ca.b \(2\) \(1.946\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(3\) \(q+\zeta_{6}^{2}q^{3}+(1-\zeta_{6}^{2})q^{7}-\zeta_{6}q^{9}-\zeta_{6}q^{13}+\cdots\)
3900.1.ca.c \(2\) \(1.946\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(0\) \(q-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{9}-\zeta_{6}^{2}q^{13}+(1-\zeta_{6}^{2}+\cdots)q^{19}+\cdots\)
3900.1.cb.a \(4\) \(1.946\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}q^{3}+\zeta_{12}^{5}q^{7}+\zeta_{12}^{2}q^{9}-\zeta_{12}q^{13}+\cdots\)
3900.1.cb.b \(4\) \(1.946\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{12}q^{3}+\zeta_{12}^{5}q^{7}+\zeta_{12}^{2}q^{9}+\zeta_{12}^{5}q^{13}+\cdots\)
3900.1.cu.a \(8\) \(1.946\) \(\Q(\zeta_{24})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{24}^{7}q^{3}+(\zeta_{24}^{7}+\zeta_{24}^{9})q^{7}-\zeta_{24}^{2}q^{9}+\cdots\)
3900.1.cu.b \(8\) \(1.946\) \(\Q(\zeta_{24})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{7}q^{3}+(\zeta_{24}^{5}+\zeta_{24}^{11})q^{7}-\zeta_{24}^{2}q^{9}+\cdots\)
3900.1.cz.a \(8\) \(1.946\) \(\Q(\zeta_{24})\) None \(\Q(\sqrt{3}) \) \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}q^{2}+\zeta_{24}^{7}q^{3}+\zeta_{24}^{2}q^{4}-\zeta_{24}^{8}q^{6}+\cdots\)
3900.1.cz.b \(8\) \(1.946\) \(\Q(\zeta_{24})\) None \(\Q(\sqrt{3}) \) \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{24}q^{2}-\zeta_{24}^{7}q^{3}+\zeta_{24}^{2}q^{4}-\zeta_{24}^{8}q^{6}+\cdots\)
3900.1.dp.a \(8\) \(1.946\) \(\Q(\zeta_{24})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{24}^{5}q^{3}+(\zeta_{24}^{3}-\zeta_{24}^{5})q^{7}+\zeta_{24}^{10}q^{9}+\cdots\)
3900.1.dp.b \(8\) \(1.946\) \(\Q(\zeta_{24})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{24}^{5}q^{3}+(\zeta_{24}-\zeta_{24}^{7})q^{7}+\zeta_{24}^{10}q^{9}+\cdots\)
3900.1.el.a \(32\) \(1.946\) \(\Q(\zeta_{80})\) \(\Q(\sqrt{-39}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{80}^{31}q^{2}+\zeta_{80}^{6}q^{3}-\zeta_{80}^{22}q^{4}+\cdots\)
3900.1.el.b \(32\) \(1.946\) \(\Q(\zeta_{80})\) \(\Q(\sqrt{-39}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{80}^{35}q^{2}+\zeta_{80}^{2}q^{3}-\zeta_{80}^{30}q^{4}+\cdots\)
3900.2.a.a \(1\) \(31.142\) \(\Q\) None None \(0\) \(-1\) \(0\) \(-2\) \(-\) \(q-q^{3}-2q^{7}+q^{9}-q^{13}+6q^{17}+\cdots\)
3900.2.a.b \(1\) \(31.142\) \(\Q\) None None \(0\) \(-1\) \(0\) \(1\) \(-\) \(q-q^{3}+q^{7}+q^{9}-3q^{11}-q^{13}-3q^{17}+\cdots\)
3900.2.a.c \(1\) \(31.142\) \(\Q\) None None \(0\) \(-1\) \(0\) \(1\) \(+\) \(q-q^{3}+q^{7}+q^{9}-3q^{11}-q^{13}+7q^{17}+\cdots\)
3900.2.a.d \(1\) \(31.142\) \(\Q\) None None \(0\) \(-1\) \(0\) \(1\) \(-\) \(q-q^{3}+q^{7}+q^{9}+3q^{11}-q^{13}-3q^{17}+\cdots\)
3900.2.a.e \(1\) \(31.142\) \(\Q\) None None \(0\) \(-1\) \(0\) \(2\) \(+\) \(q-q^{3}+2q^{7}+q^{9}-6q^{11}+q^{13}+\cdots\)
3900.2.a.f \(1\) \(31.142\) \(\Q\) None None \(0\) \(-1\) \(0\) \(3\) \(-\) \(q-q^{3}+3q^{7}+q^{9}+q^{11}+q^{13}+3q^{17}+\cdots\)
3900.2.a.g \(1\) \(31.142\) \(\Q\) None None \(0\) \(-1\) \(0\) \(3\) \(-\) \(q-q^{3}+3q^{7}+q^{9}+3q^{11}+q^{13}+\cdots\)
3900.2.a.h \(1\) \(31.142\) \(\Q\) None None \(0\) \(1\) \(0\) \(-3\) \(+\) \(q+q^{3}-3q^{7}+q^{9}+q^{11}-q^{13}-3q^{17}+\cdots\)
3900.2.a.i \(1\) \(31.142\) \(\Q\) None None \(0\) \(1\) \(0\) \(-3\) \(+\) \(q+q^{3}-3q^{7}+q^{9}+q^{11}-q^{13}+3q^{17}+\cdots\)
3900.2.a.j \(1\) \(31.142\) \(\Q\) None None \(0\) \(1\) \(0\) \(-3\) \(-\) \(q+q^{3}-3q^{7}+q^{9}+3q^{11}-q^{13}+\cdots\)
3900.2.a.k \(1\) \(31.142\) \(\Q\) None None \(0\) \(1\) \(0\) \(-1\) \(+\) \(q+q^{3}-q^{7}+q^{9}-3q^{11}+q^{13}-7q^{17}+\cdots\)
3900.2.a.l \(1\) \(31.142\) \(\Q\) None None \(0\) \(1\) \(0\) \(-1\) \(+\) \(q+q^{3}-q^{7}+q^{9}-3q^{11}+q^{13}+3q^{17}+\cdots\)
3900.2.a.m \(1\) \(31.142\) \(\Q\) None None \(0\) \(1\) \(0\) \(2\) \(+\) \(q+q^{3}+2q^{7}+q^{9}-4q^{11}-q^{13}+\cdots\)
3900.2.a.n \(1\) \(31.142\) \(\Q\) None None \(0\) \(1\) \(0\) \(2\) \(-\) \(q+q^{3}+2q^{7}+q^{9}-2q^{11}+q^{13}+\cdots\)
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