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Results (25 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
401.2.a.a	$401$	$2$	401.a	1.a	$1$	$12$	$12$	$3.202$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$1$	\(-3\)	\(-5\)	\(-7\)	\(-20\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+\beta _{9}q^{3}+(\beta _{2}+\beta _{3})q^{4}+(-1+\cdots)q^{5}+\cdots\)
401.2.a.b	$401$	$2$	401.a	1.a	$1$	$21$	$21$	$3.202$		None	✓	$1$	$0$	\(0\)	\(3\)	\(3\)	\(24\)	$-$		$\mathrm{SU}(2)$
401.2.b.a	$401$	$2$	401.b	401.b	$2$	$32$	$32$	$3.202$		None		$2$	$0$	\(2\)	\(0\)	\(-6\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
401.2.c.a	$401$	$2$	401.c	401.c	$4$	$64$	$32$	$3.202$		None		$2$	$0$	\(0\)	\(-2\)	\(-16\)	\(0\)			$\mathrm{SU}(2)[C_{4}]$
401.2.d.a	$401$	$2$	401.d	401.d	$5$	$4$	$1$	$3.202$	\(\Q(\zeta_{10})\)	None		$2$	$0$	\(-3\)	\(1\)	\(4\)	\(-8\)		$1$	$\mathrm{SU}(2)[C_{5}]$	\(q+(-1+\zeta_{10}^{3})q^{2}+(1-\zeta_{10}+\zeta_{10}^{2}+\cdots)q^{3}+\cdots\)
401.2.d.b	$401$	$2$	401.d	401.d	$5$	$124$	$31$	$3.202$		None		$2$	$0$	\(-1\)	\(-10\)	\(-14\)	\(7\)			$\mathrm{SU}(2)[C_{5}]$
401.2.e.a	$401$	$2$	401.e	401.e	$8$	$4$	$1$	$3.202$	\(\Q(\zeta_{8})\)	None		$2$	$0$	\(4\)	\(4\)	\(-8\)	\(8\)		$1$	$\mathrm{SU}(2)[C_{8}]$	\(q+(1-\zeta_{8}+\zeta_{8}^{2})q^{2}+(1+\zeta_{8}-\zeta_{8}^{2}+\cdots)q^{3}+\cdots\)
401.2.e.b	$401$	$2$	401.e	401.e	$8$	$128$	$32$	$3.202$		None		$2$	$0$	\(-8\)	\(-4\)	\(0\)	\(-12\)			$\mathrm{SU}(2)[C_{8}]$
401.2.f.a	$401$	$2$	401.f	401.f	$10$	$128$	$32$	$3.202$		None		$2$	$0$	\(-2\)	\(5\)	\(-4\)	\(-5\)			$\mathrm{SU}(2)[C_{10}]$
401.2.h.a	$401$	$2$	401.h	401.h	$20$	$256$	$32$	$3.202$		None		$2$	$0$	\(-10\)	\(-8\)	\(-14\)	\(-10\)			$\mathrm{SU}(2)[C_{20}]$
401.2.i.a	$401$	$2$	401.i	401.i	$25$	$640$	$32$	$3.202$		None		$2$	$0$	\(-15\)	\(-10\)	\(-30\)	\(-20\)			$\mathrm{SU}(2)[C_{25}]$
401.2.j.a	$401$	$2$	401.j	401.j	$40$	$528$	$33$	$3.202$		None		$2$	$0$	\(-16\)	\(-20\)	\(-32\)	\(-16\)			$\mathrm{SU}(2)[C_{40}]$
401.2.k.a	$401$	$2$	401.k	401.k	$50$	$640$	$32$	$3.202$		None		$2$	$0$	\(-25\)	\(-30\)	\(10\)	\(-20\)			$\mathrm{SU}(2)[C_{50}]$
401.2.m.a	$401$	$2$	401.m	401.m	$100$	$1280$	$32$	$3.202$		None		$2$	$0$	\(-40\)	\(-40\)	\(-20\)	\(-40\)			$\mathrm{SU}(2)[C_{100}]$
401.2.n.a	$401$	$2$	401.n	401.n	$200$	$2640$	$33$	$3.202$		None		$2$	$0$	\(-80\)	\(-80\)	\(-60\)	\(-80\)			$\mathrm{SU}(2)[C_{200}]$
401.3.g.a	$401$	$3$	401.g	401.g	$16$	$528$	$66$	$10.926$		None		$2$	$0$	\(-8\)	\(-8\)	\(32\)	\(-8\)			$\mathrm{SU}(2)[C_{16}]$
401.3.l.a	$401$	$3$	401.l	401.l	$80$	$2112$	$66$	$10.926$		None		$2$	$0$	\(-32\)	\(-32\)	\(48\)	\(-32\)			$\mathrm{SU}(2)[C_{80}]$
401.3.o.a	$401$	$3$	401.o	401.o	$400$	$10560$	$66$	$10.926$		None		$2$	$0$	\(-160\)	\(-160\)	\(-280\)	\(-160\)			$\mathrm{SU}(2)[C_{400}]$
401.4.a.a	$401$	$4$	401.a	1.a	$1$	$45$	$45$	$23.660$		None	✓	$1$	$1$	\(-6\)	\(-18\)	\(-44\)	\(-176\)	$-$		$\mathrm{SU}(2)$
401.4.a.b	$401$	$4$	401.a	1.a	$1$	$55$	$55$	$23.660$		None	✓	$1$	$0$	\(6\)	\(18\)	\(36\)	\(188\)	$+$		$\mathrm{SU}(2)$
401.4.b.a	$401$	$4$	401.b	401.b	$2$	$100$	$100$	$23.660$		None		$2$	$0$	\(-4\)	\(0\)	\(8\)	\(-16\)			$\mathrm{SU}(2)[C_{2}]$
401.6.a.a	$401$	$6$	401.a	1.a	$1$	$78$	$78$	$64.314$		None	✓	$1$	$1$	\(-12\)	\(-45\)	\(-189\)	\(-1324\)	$+$		$\mathrm{SU}(2)$
401.6.a.b	$401$	$6$	401.a	1.a	$1$	$88$	$88$	$64.314$		None	✓	$1$	$0$	\(12\)	\(63\)	\(211\)	\(1224\)	$-$		$\mathrm{SU}(2)$
401.8.a.a	$401$	$8$	401.a	1.a	$1$	$112$	$112$	$125.266$		None	✓	$1$	$1$	\(-24\)	\(-189\)	\(-999\)	\(-8576\)	$-$		$\mathrm{SU}(2)$
401.8.a.b	$401$	$8$	401.a	1.a	$1$	$122$	$122$	$125.266$		None	✓	$1$	$0$	\(24\)	\(135\)	\(1001\)	\(9260\)	$+$		$\mathrm{SU}(2)$