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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
3696.1.bb.a \(1\) \(1.845\) \(\Q\) \(\Q(\sqrt{-231}) \) None \(0\) \(-1\) \(-1\) \(-1\) \(q-q^{3}-q^{5}-q^{7}+q^{9}-q^{11}-q^{13}+\cdots\)
3696.1.bb.b \(1\) \(1.845\) \(\Q\) \(\Q(\sqrt{-231}) \) None \(0\) \(-1\) \(-1\) \(1\) \(q-q^{3}-q^{5}+q^{7}+q^{9}+q^{11}+q^{13}+\cdots\)
3696.1.bb.c \(1\) \(1.845\) \(\Q\) \(\Q(\sqrt{-231}) \) None \(0\) \(1\) \(1\) \(-1\) \(q+q^{3}+q^{5}-q^{7}+q^{9}+q^{11}-q^{13}+\cdots\)
3696.1.bb.d \(1\) \(1.845\) \(\Q\) \(\Q(\sqrt{-231}) \) None \(0\) \(1\) \(1\) \(1\) \(q+q^{3}+q^{5}+q^{7}+q^{9}-q^{11}+q^{13}+\cdots\)
3696.1.bm.a \(4\) \(1.845\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-231}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{8}q^{2}-\zeta_{8}q^{3}+\zeta_{8}^{2}q^{4}-\zeta_{8}^{2}q^{6}+\cdots\)
3696.1.bm.b \(4\) \(1.845\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-231}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}q^{2}-\zeta_{8}q^{3}+\zeta_{8}^{2}q^{4}+\zeta_{8}^{2}q^{6}+\cdots\)
3696.1.bm.c \(8\) \(1.845\) \(\Q(\zeta_{24})\) \(\Q(\sqrt{-231}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{5}q^{2}+\zeta_{24}^{9}q^{3}+\zeta_{24}^{10}q^{4}+\cdots\)
3696.1.bm.d \(8\) \(1.845\) \(\Q(\zeta_{24})\) \(\Q(\sqrt{-231}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{7}q^{2}-\zeta_{24}^{3}q^{3}-\zeta_{24}^{2}q^{4}+\cdots\)
3696.1.cn.a \(4\) \(1.845\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-33}) \) None \(0\) \(-2\) \(0\) \(0\) \(q-\zeta_{12}^{2}q^{3}-\zeta_{12}^{3}q^{7}+\zeta_{12}^{4}q^{9}+\cdots\)
3696.1.cn.b \(4\) \(1.845\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-33}) \) None \(0\) \(2\) \(0\) \(0\) \(q+\zeta_{12}^{2}q^{3}-\zeta_{12}^{3}q^{7}+\zeta_{12}^{4}q^{9}+\cdots\)
3696.1.dl.a \(8\) \(1.845\) \(\Q(\zeta_{20})\) \(\Q(\sqrt{-21}) \) None \(0\) \(-2\) \(0\) \(2\) \(q-\zeta_{20}^{6}q^{3}+(-\zeta_{20}+\zeta_{20}^{5})q^{5}-\zeta_{20}^{4}q^{7}+\cdots\)
3696.1.dl.b \(8\) \(1.845\) \(\Q(\zeta_{20})\) \(\Q(\sqrt{-21}) \) None \(0\) \(2\) \(0\) \(-2\) \(q+\zeta_{20}^{6}q^{3}+(-\zeta_{20}+\zeta_{20}^{5})q^{5}+\zeta_{20}^{4}q^{7}+\cdots\)
3696.2.a.a \(1\) \(29.513\) \(\Q\) None None \(0\) \(-1\) \(-4\) \(1\) \(+\) \(q-q^{3}-4q^{5}+q^{7}+q^{9}+q^{11}-2q^{13}+\cdots\)
3696.2.a.b \(1\) \(29.513\) \(\Q\) None None \(0\) \(-1\) \(-3\) \(-1\) \(-\) \(q-q^{3}-3q^{5}-q^{7}+q^{9}-q^{11}-7q^{13}+\cdots\)
3696.2.a.c \(1\) \(29.513\) \(\Q\) None None \(0\) \(-1\) \(-3\) \(-1\) \(+\) \(q-q^{3}-3q^{5}-q^{7}+q^{9}-q^{11}-3q^{13}+\cdots\)
3696.2.a.d \(1\) \(29.513\) \(\Q\) None None \(0\) \(-1\) \(-3\) \(1\) \(-\) \(q-q^{3}-3q^{5}+q^{7}+q^{9}+q^{11}+3q^{13}+\cdots\)
3696.2.a.e \(1\) \(29.513\) \(\Q\) None None \(0\) \(-1\) \(-2\) \(1\) \(+\) \(q-q^{3}-2q^{5}+q^{7}+q^{9}+q^{11}-2q^{13}+\cdots\)
3696.2.a.f \(1\) \(29.513\) \(\Q\) None None \(0\) \(-1\) \(-1\) \(-1\) \(-\) \(q-q^{3}-q^{5}-q^{7}+q^{9}+q^{11}-5q^{13}+\cdots\)
3696.2.a.g \(1\) \(29.513\) \(\Q\) None None \(0\) \(-1\) \(-1\) \(1\) \(-\) \(q-q^{3}-q^{5}+q^{7}+q^{9}-q^{11}+q^{13}+\cdots\)
3696.2.a.h \(1\) \(29.513\) \(\Q\) None None \(0\) \(-1\) \(-1\) \(1\) \(+\) \(q-q^{3}-q^{5}+q^{7}+q^{9}-q^{11}+q^{13}+\cdots\)
3696.2.a.i \(1\) \(29.513\) \(\Q\) None None \(0\) \(-1\) \(0\) \(-1\) \(+\) \(q-q^{3}-q^{7}+q^{9}+q^{11}+2q^{13}-2q^{19}+\cdots\)
3696.2.a.j \(1\) \(29.513\) \(\Q\) None None \(0\) \(-1\) \(0\) \(1\) \(-\) \(q-q^{3}+q^{7}+q^{9}+q^{11}+6q^{13}+4q^{17}+\cdots\)
3696.2.a.k \(1\) \(29.513\) \(\Q\) None None \(0\) \(-1\) \(1\) \(1\) \(+\) \(q-q^{3}+q^{5}+q^{7}+q^{9}+q^{11}-5q^{13}+\cdots\)
3696.2.a.l \(1\) \(29.513\) \(\Q\) None None \(0\) \(-1\) \(1\) \(1\) \(+\) \(q-q^{3}+q^{5}+q^{7}+q^{9}+q^{11}+3q^{13}+\cdots\)
3696.2.a.m \(1\) \(29.513\) \(\Q\) None None \(0\) \(-1\) \(2\) \(1\) \(+\) \(q-q^{3}+2q^{5}+q^{7}+q^{9}-q^{11}-2q^{13}+\cdots\)
3696.2.a.n \(1\) \(29.513\) \(\Q\) None None \(0\) \(-1\) \(2\) \(1\) \(-\) \(q-q^{3}+2q^{5}+q^{7}+q^{9}-q^{11}+6q^{13}+\cdots\)
3696.2.a.o \(1\) \(29.513\) \(\Q\) None None \(0\) \(-1\) \(3\) \(-1\) \(+\) \(q-q^{3}+3q^{5}-q^{7}+q^{9}+q^{11}-q^{13}+\cdots\)
3696.2.a.p \(1\) \(29.513\) \(\Q\) None None \(0\) \(1\) \(-4\) \(-1\) \(-\) \(q+q^{3}-4q^{5}-q^{7}+q^{9}+q^{11}-6q^{13}+\cdots\)
3696.2.a.q \(1\) \(29.513\) \(\Q\) None None \(0\) \(1\) \(-3\) \(-1\) \(-\) \(q+q^{3}-3q^{5}-q^{7}+q^{9}-q^{11}-q^{13}+\cdots\)
3696.2.a.r \(1\) \(29.513\) \(\Q\) None None \(0\) \(1\) \(-3\) \(1\) \(+\) \(q+q^{3}-3q^{5}+q^{7}+q^{9}+q^{11}+q^{13}+\cdots\)
3696.2.a.s \(1\) \(29.513\) \(\Q\) None None \(0\) \(1\) \(-2\) \(-1\) \(+\) \(q+q^{3}-2q^{5}-q^{7}+q^{9}-q^{11}+2q^{13}+\cdots\)
3696.2.a.t \(1\) \(29.513\) \(\Q\) None None \(0\) \(1\) \(-2\) \(-1\) \(-\) \(q+q^{3}-2q^{5}-q^{7}+q^{9}+q^{11}+6q^{13}+\cdots\)
3696.2.a.u \(1\) \(29.513\) \(\Q\) None None \(0\) \(1\) \(-1\) \(-1\) \(-\) \(q+q^{3}-q^{5}-q^{7}+q^{9}+q^{11}-3q^{13}+\cdots\)
3696.2.a.v \(1\) \(29.513\) \(\Q\) None None \(0\) \(1\) \(-1\) \(-1\) \(+\) \(q+q^{3}-q^{5}-q^{7}+q^{9}+q^{11}-3q^{13}+\cdots\)
3696.2.a.w \(1\) \(29.513\) \(\Q\) None None \(0\) \(1\) \(-1\) \(1\) \(-\) \(q+q^{3}-q^{5}+q^{7}+q^{9}-q^{11}-q^{13}+\cdots\)
3696.2.a.x \(1\) \(29.513\) \(\Q\) None None \(0\) \(1\) \(0\) \(-1\) \(+\) \(q+q^{3}-q^{7}+q^{9}+q^{11}+2q^{13}-8q^{17}+\cdots\)
3696.2.a.y \(1\) \(29.513\) \(\Q\) None None \(0\) \(1\) \(0\) \(1\) \(+\) \(q+q^{3}+q^{7}+q^{9}+q^{11}-2q^{13}-4q^{17}+\cdots\)
3696.2.a.z \(1\) \(29.513\) \(\Q\) None None \(0\) \(1\) \(1\) \(-1\) \(+\) \(q+q^{3}+q^{5}-q^{7}+q^{9}-q^{11}-q^{13}+\cdots\)
3696.2.a.ba \(1\) \(29.513\) \(\Q\) None None \(0\) \(1\) \(2\) \(-1\) \(-\) \(q+q^{3}+2q^{5}-q^{7}+q^{9}-q^{11}-6q^{13}+\cdots\)
3696.2.a.bb \(1\) \(29.513\) \(\Q\) None None \(0\) \(1\) \(2\) \(1\) \(-\) \(q+q^{3}+2q^{5}+q^{7}+q^{9}-q^{11}+2q^{13}+\cdots\)
3696.2.a.bc \(2\) \(29.513\) \(\Q(\sqrt{3}) \) None None \(0\) \(-2\) \(0\) \(-2\) \(-\) \(q-q^{3}+\beta q^{5}-q^{7}+q^{9}-q^{11}+2q^{13}+\cdots\)
3696.2.a.bd \(2\) \(29.513\) \(\Q(\sqrt{41}) \) None None \(0\) \(-2\) \(1\) \(2\) \(-\) \(q-q^{3}+\beta q^{5}+q^{7}+q^{9}-q^{11}-\beta q^{13}+\cdots\)
3696.2.a.be \(2\) \(29.513\) \(\Q(\sqrt{5}) \) None None \(0\) \(-2\) \(2\) \(-2\) \(-\) \(q-q^{3}+q^{5}-q^{7}+q^{9}-q^{11}+(-1+\cdots)q^{13}+\cdots\)
3696.2.a.bf \(2\) \(29.513\) \(\Q(\sqrt{33}) \) None None \(0\) \(2\) \(-3\) \(-2\) \(+\) \(q+q^{3}+(-1-\beta )q^{5}-q^{7}+q^{9}+q^{11}+\cdots\)
3696.2.a.bg \(2\) \(29.513\) \(\Q(\sqrt{17}) \) None None \(0\) \(2\) \(-3\) \(2\) \(+\) \(q+q^{3}+(-1-\beta )q^{5}+q^{7}+q^{9}-q^{11}+\cdots\)
3696.2.a.bh \(2\) \(29.513\) \(\Q(\sqrt{17}) \) None None \(0\) \(2\) \(-3\) \(2\) \(+\) \(q+q^{3}+(-1-\beta )q^{5}+q^{7}+q^{9}-q^{11}+\cdots\)
3696.2.a.bi \(2\) \(29.513\) \(\Q(\sqrt{17}) \) None None \(0\) \(2\) \(1\) \(2\) \(-\) \(q+q^{3}+\beta q^{5}+q^{7}+q^{9}+q^{11}+(2+\cdots)q^{13}+\cdots\)
3696.2.a.bj \(2\) \(29.513\) \(\Q(\sqrt{17}) \) None None \(0\) \(2\) \(3\) \(-2\) \(-\) \(q+q^{3}+(1+\beta )q^{5}-q^{7}+q^{9}-q^{11}+\cdots\)
3696.2.a.bk \(2\) \(29.513\) \(\Q(\sqrt{17}) \) None None \(0\) \(2\) \(3\) \(2\) \(-\) \(q+q^{3}+(1+\beta )q^{5}+q^{7}+q^{9}+q^{11}+\cdots\)
3696.2.a.bl \(2\) \(29.513\) \(\Q(\sqrt{21}) \) None None \(0\) \(2\) \(6\) \(-2\) \(-\) \(q+q^{3}+3q^{5}-q^{7}+q^{9}+q^{11}+q^{13}+\cdots\)
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