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Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

Results (24 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	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	3	5
2160.4.a.a	$2160$	$4$	2160.a	1.a	$1$	$1$	$1$	$127.444$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-5\)	\(-17\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-5q^{5}-17q^{7}-30q^{11}-61q^{13}+\cdots\)
2160.4.a.b	$2160$	$4$	2160.a	1.a	$1$	$1$	$1$	$127.444$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-5\)	\(-14\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-5q^{5}-14q^{7}+3q^{11}+47q^{13}+\cdots\)
2160.4.a.c	$2160$	$4$	2160.a	1.a	$1$	$1$	$1$	$127.444$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-5\)	\(-8\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-5q^{5}-8q^{7}+18q^{11}+8q^{13}-15q^{17}+\cdots\)
2160.4.a.d	$2160$	$4$	2160.a	1.a	$1$	$1$	$1$	$127.444$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-5\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-5q^{5}+10q^{11}-80q^{13}-7q^{17}+\cdots\)
2160.4.a.e	$2160$	$4$	2160.a	1.a	$1$	$1$	$1$	$127.444$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-5\)	\(4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-5q^{5}+4q^{7}-42q^{11}+20q^{13}+\cdots\)
2160.4.a.h	$2160$	$4$	2160.a	1.a	$1$	$1$	$1$	$127.444$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-5\)	\(22\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-5q^{5}+22q^{7}+9q^{11}+17q^{13}+\cdots\)
2160.4.a.m	$2160$	$4$	2160.a	1.a	$1$	$1$	$1$	$127.444$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(5\)	\(-8\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+5q^{5}-8q^{7}-18q^{11}+8q^{13}+15q^{17}+\cdots\)
2160.4.a.n	$2160$	$4$	2160.a	1.a	$1$	$1$	$1$	$127.444$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(5\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+5q^{5}-10q^{11}-80q^{13}+7q^{17}+\cdots\)
2160.4.a.o	$2160$	$4$	2160.a	1.a	$1$	$1$	$1$	$127.444$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(5\)	\(4\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+5q^{5}+4q^{7}+42q^{11}+20q^{13}+\cdots\)
2160.4.a.p	$2160$	$4$	2160.a	1.a	$1$	$1$	$1$	$127.444$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(5\)	\(6\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+5q^{5}+6q^{7}+47q^{11}-5q^{13}-131q^{17}+\cdots\)
2160.4.a.q	$2160$	$4$	2160.a	1.a	$1$	$1$	$1$	$127.444$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(5\)	\(13\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+5q^{5}+13q^{7}-30q^{11}-61q^{13}+\cdots\)
2160.4.a.v	$2160$	$4$	2160.a	1.a	$1$	$2$	$2$	$127.444$	\(\Q(\sqrt{69}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-10\)	\(-10\)		$-$	$+$	$+$	$-$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q-5q^{5}+(-5-\beta )q^{7}+(9-\beta )q^{11}+\cdots\)
2160.4.a.z	$2160$	$4$	2160.a	1.a	$1$	$2$	$2$	$127.444$	\(\Q(\sqrt{41}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(10\)	\(-13\)		$-$	$-$	$-$	$-$	$3$	$\mathrm{SU}(2)$	\(q+5q^{5}+(-7-\beta )q^{7}+(-10-5\beta )q^{11}+\cdots\)
2160.4.a.ba	$2160$	$4$	2160.a	1.a	$1$	$2$	$2$	$127.444$	\(\Q(\sqrt{69}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(10\)	\(-10\)		$-$	$-$	$-$	$-$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q+5q^{5}+(-5-\beta )q^{7}+(-9+\beta )q^{11}+\cdots\)
2160.4.a.bb	$2160$	$4$	2160.a	1.a	$1$	$2$	$2$	$127.444$	\(\Q(\sqrt{401}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(10\)	\(-1\)		$-$	$-$	$-$	$-$	$3$	$\mathrm{SU}(2)$	\(q+5q^{5}+(-1-\beta )q^{7}+(-2^{4}+\beta )q^{11}+\cdots\)
2160.4.a.bd	$2160$	$4$	2160.a	1.a	$1$	$2$	$2$	$127.444$	\(\Q(\sqrt{241}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(10\)	\(5\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+5q^{5}+(3-\beta )q^{7}+(2+\beta )q^{11}+(-9+\cdots)q^{13}+\cdots\)
2160.4.a.bg	$2160$	$4$	2160.a	1.a	$1$	$3$	$3$	$127.444$	3.3.985.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(-15\)	\(-6\)		$+$	$-$	$+$	$-$	$2^{3}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q-5q^{5}+(-2+\beta _{2})q^{7}+(4-\beta _{1}-\beta _{2})q^{11}+\cdots\)
2160.4.a.bh	$2160$	$4$	2160.a	1.a	$1$	$3$	$3$	$127.444$	3.3.1765.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(-15\)	\(0\)		$+$	$-$	$+$	$-$	$2^{2}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q-5q^{5}+\beta _{1}q^{7}+(-9-\beta _{1}+2\beta _{2})q^{11}+\cdots\)
2160.4.a.bi	$2160$	$4$	2160.a	1.a	$1$	$3$	$3$	$127.444$	3.3.1772.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(-15\)	\(4\)		$-$	$+$	$+$	$-$	$2^{2}\cdot 3$	$\mathrm{SU}(2)$	\(q-5q^{5}+(3\beta _{1}+\beta _{2})q^{7}+(3-5\beta _{1}+\beta _{2})q^{11}+\cdots\)
2160.4.a.bk	$2160$	$4$	2160.a	1.a	$1$	$3$	$3$	$127.444$	3.3.1257.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(-15\)	\(10\)		$+$	$-$	$+$	$-$	$2^{3}\cdot 3$	$\mathrm{SU}(2)$	\(q-5q^{5}+(4-\beta _{1}-\beta _{2})q^{7}+(11-5\beta _{1}+\cdots)q^{11}+\cdots\)
2160.4.a.bn	$2160$	$4$	2160.a	1.a	$1$	$3$	$3$	$127.444$	3.3.47977.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(15\)	\(-9\)		$+$	$+$	$-$	$-$	$2\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+5q^{5}+(-3-\beta _{2})q^{7}+(-6-\beta _{1}+\cdots)q^{11}+\cdots\)
2160.4.a.bo	$2160$	$4$	2160.a	1.a	$1$	$3$	$3$	$127.444$	3.3.985.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(15\)	\(-6\)		$+$	$+$	$-$	$-$	$2^{3}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+5q^{5}+(-2+\beta _{2})q^{7}+(-4+\beta _{1}+\cdots)q^{11}+\cdots\)
2160.4.a.bs	$2160$	$4$	2160.a	1.a	$1$	$3$	$3$	$127.444$	3.3.1257.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(15\)	\(10\)		$+$	$+$	$-$	$-$	$2^{3}\cdot 3$	$\mathrm{SU}(2)$	\(q+5q^{5}+(4-\beta _{1}-\beta _{2})q^{7}+(-11+5\beta _{1}+\cdots)q^{11}+\cdots\)
2160.4.a.bu	$2160$	$4$	2160.a	1.a	$1$	$4$	$4$	$127.444$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-20\)	\(-14\)		$+$	$-$	$+$	$-$	$2^{3}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q-5q^{5}+(-3+\beta _{2})q^{7}+(-1+\beta _{1}+\cdots)q^{11}+\cdots\)