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Results (16 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces					A-L signs				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																		$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	5	7	13
9100.2.a.o	$9100$	$2$	9100.a	1.a	$1$	$2$	$2$	$72.664$	\(\Q(\sqrt{3}) \)	None	✓				364.2.a.d	$1$	$0$	\(0\)	\(-2\)	\(0\)	\(-2\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{3}-q^{7}+(1-2\beta )q^{9}+(3+\cdots)q^{11}+\cdots\)
9100.2.a.p	$9100$	$2$	9100.a	1.a	$1$	$2$	$2$	$72.664$	\(\Q(\sqrt{3}) \)	None	✓				1820.2.a.f	$1$	$0$	\(0\)	\(-2\)	\(0\)	\(-2\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{3}-q^{7}+(1-2\beta )q^{9}+(3+\cdots)q^{11}+\cdots\)
9100.2.a.q	$9100$	$2$	9100.a	1.a	$1$	$2$	$2$	$72.664$	\(\Q(\sqrt{3}) \)	None	✓				1820.2.g.a	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(2\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{3}+q^{7}+(1-2\beta )q^{9}+(-1+\cdots)q^{11}+\cdots\)
9100.2.a.r	$9100$	$2$	9100.a	1.a	$1$	$2$	$2$	$72.664$	\(\Q(\sqrt{3}) \)	None	✓				1820.2.g.b	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(2\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{3}+q^{7}+(1-2\beta )q^{9}+(-1+\cdots)q^{11}+\cdots\)
9100.2.a.s	$9100$	$2$	9100.a	1.a	$1$	$2$	$2$	$72.664$	\(\Q(\sqrt{5}) \)	None	✓				1820.2.g.d	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(-2\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{3}-q^{7}+(-2+\beta )q^{9}+(-4+2\beta )q^{11}+\cdots\)
9100.2.a.t	$9100$	$2$	9100.a	1.a	$1$	$2$	$2$	$72.664$	\(\Q(\sqrt{21}) \)	None	✓				1820.2.g.c	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(-2\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{3}-q^{7}+(2+\beta )q^{9}-2\beta q^{11}+\cdots\)
9100.2.a.u	$9100$	$2$	9100.a	1.a	$1$	$2$	$2$	$72.664$	\(\Q(\sqrt{5}) \)	None	✓				1820.2.a.e	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(2\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{3}+q^{7}+(-2+\beta )q^{9}+2\beta q^{11}+\cdots\)
9100.2.a.v	$9100$	$2$	9100.a	1.a	$1$	$2$	$2$	$72.664$	\(\Q(\sqrt{6}) \)	None	✓				364.2.a.c	$1$	$0$	\(0\)	\(0\)	\(0\)	\(2\)		$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+q^{7}+3q^{9}+(4+\beta )q^{11}+q^{13}+\cdots\)
9100.2.a.w	$9100$	$2$	9100.a	1.a	$1$	$2$	$2$	$72.664$	\(\Q(\sqrt{13}) \)	None	✓				1820.2.a.d	$1$	$1$	\(0\)	\(1\)	\(0\)	\(-2\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-q^{7}+\beta q^{9}-2q^{11}+q^{13}+\cdots\)
9100.2.a.x	$9100$	$2$	9100.a	1.a	$1$	$2$	$2$	$72.664$	\(\Q(\sqrt{5}) \)	None	✓				1820.2.g.d	$1$	$1$	\(0\)	\(1\)	\(0\)	\(2\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+q^{7}+(-2+\beta )q^{9}+(-4+2\beta )q^{11}+\cdots\)
9100.2.a.y	$9100$	$2$	9100.a	1.a	$1$	$2$	$2$	$72.664$	\(\Q(\sqrt{5}) \)	None	✓				1820.2.a.c	$1$	$0$	\(0\)	\(1\)	\(0\)	\(2\)		$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+q^{7}+(-2+\beta )q^{9}-2\beta q^{11}+\cdots\)
9100.2.a.z	$9100$	$2$	9100.a	1.a	$1$	$2$	$2$	$72.664$	\(\Q(\sqrt{21}) \)	None	✓				1820.2.g.c	$1$	$1$	\(0\)	\(1\)	\(0\)	\(2\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+q^{7}+(2+\beta )q^{9}-2\beta q^{11}+\cdots\)
9100.2.a.ba	$9100$	$2$	9100.a	1.a	$1$	$2$	$2$	$72.664$	\(\Q(\sqrt{3}) \)	None	✓				1820.2.g.b	$1$	$1$	\(0\)	\(2\)	\(0\)	\(-2\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{3}-q^{7}+(1+2\beta )q^{9}+(-1+\cdots)q^{11}+\cdots\)
9100.2.a.bb	$9100$	$2$	9100.a	1.a	$1$	$2$	$2$	$72.664$	\(\Q(\sqrt{3}) \)	None	✓				1820.2.g.a	$1$	$1$	\(0\)	\(2\)	\(0\)	\(-2\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{3}-q^{7}+(1+2\beta )q^{9}+(-1+\cdots)q^{11}+\cdots\)
9100.2.a.bc	$9100$	$2$	9100.a	1.a	$1$	$2$	$2$	$72.664$	\(\Q(\sqrt{5}) \)	None	✓				1820.2.a.b	$1$	$0$	\(0\)	\(3\)	\(0\)	\(-2\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{3}-q^{7}+(-1+3\beta )q^{9}-2q^{11}+\cdots\)
9100.2.a.bd	$9100$	$2$	9100.a	1.a	$1$	$2$	$2$	$72.664$	\(\Q(\sqrt{13}) \)	None	✓				1820.2.a.a	$1$	$0$	\(0\)	\(3\)	\(0\)	\(-2\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{3}-q^{7}+(1+3\beta )q^{9}+(-2+\cdots)q^{11}+\cdots\)