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

Results (9 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	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	3	7
126.14.a.b	$126$	$14$	126.a	1.a	$1$	$1$	$1$	$135.111$	\(\Q\)	None	✓		42.14.a.d	$1$	$0$	\(-64\)	\(0\)	\(22370\)	\(-117649\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2^{6}q^{2}+2^{12}q^{4}+22370q^{5}-7^{6}q^{7}+\cdots\)
126.14.a.d	$126$	$14$	126.a	1.a	$1$	$1$	$1$	$135.111$	\(\Q\)	None	✓		42.14.a.b	$1$	$0$	\(64\)	\(0\)	\(-34758\)	\(117649\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2^{6}q^{2}+2^{12}q^{4}-34758q^{5}+7^{6}q^{7}+\cdots\)
126.14.a.f	$126$	$14$	126.a	1.a	$1$	$1$	$1$	$135.111$	\(\Q\)	None	✓		42.14.a.a	$1$	$0$	\(64\)	\(0\)	\(51720\)	\(117649\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2^{6}q^{2}+2^{12}q^{4}+51720q^{5}+7^{6}q^{7}+\cdots\)
126.14.a.g	$126$	$14$	126.a	1.a	$1$	$2$	$2$	$135.111$	\(\Q(\sqrt{78985}) \)	None	✓		14.14.a.d	$1$	$0$	\(-128\)	\(0\)	\(-75530\)	\(-235298\)		$+$	$-$	$+$	$-$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q-2^{6}q^{2}+2^{12}q^{4}+(-37765-13\beta )q^{5}+\cdots\)
126.14.a.i	$126$	$14$	126.a	1.a	$1$	$2$	$2$	$135.111$	\(\Q(\sqrt{305281}) \)	None	✓		42.14.a.h	$1$	$0$	\(-128\)	\(0\)	\(27574\)	\(-235298\)		$+$	$-$	$+$	$-$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q-2^{6}q^{2}+2^{12}q^{4}+(13787-19\beta )q^{5}+\cdots\)
126.14.a.l	$126$	$14$	126.a	1.a	$1$	$2$	$2$	$135.111$	\(\Q(\sqrt{100129}) \)	None	✓		14.14.a.c	$1$	$0$	\(128\)	\(0\)	\(-32004\)	\(235298\)		$-$	$-$	$-$	$-$	$2^{2}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+2^{6}q^{2}+2^{12}q^{4}+(-16002-7\beta )q^{5}+\cdots\)
126.14.a.m	$126$	$14$	126.a	1.a	$1$	$2$	$2$	$135.111$	\(\Q(\sqrt{601441}) \)	None	✓		42.14.a.e	$1$	$0$	\(128\)	\(0\)	\(10464\)	\(235298\)		$-$	$-$	$-$	$-$	$2^{2}\cdot 3\cdot 7$	$\mathrm{SU}(2)$	\(q+2^{6}q^{2}+2^{12}q^{4}+(5232-\beta )q^{5}+\cdots\)
126.14.a.n	$126$	$14$	126.a	1.a	$1$	$3$	$3$	$135.111$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	✓	126.14.a.n	$1$	$0$	\(-192\)	\(0\)	\(-28626\)	\(352947\)		$+$	$+$	$-$	$-$	$2^{4}\cdot 3^{4}\cdot 7$	$\mathrm{SU}(2)$	\(q-2^{6}q^{2}+2^{12}q^{4}+(-9542-\beta _{1}+\cdots)q^{5}+\cdots\)
126.14.a.p	$126$	$14$	126.a	1.a	$1$	$3$	$3$	$135.111$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	✓	126.14.a.o	$1$	$0$	\(192\)	\(0\)	\(5694\)	\(-352947\)		$-$	$+$	$+$	$-$	$2^{4}\cdot 3^{4}\cdot 7$	$\mathrm{SU}(2)$	\(q+2^{6}q^{2}+2^{12}q^{4}+(1898-\beta _{1})q^{5}+\cdots\)