Rational L-function search results

Results (44 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	$\epsilon$	$r$	First zero	Origin
8-832e4-1.1-c0e4-0-0	$0.644$	$0.0297$	$8$	$2^{24} \cdot 13^{4}$	1.1		$0.0, 0.0, 0.0, 0.0$	0		$1$	$0$	$0.220696$	Artin representation 2.832.16t60.a Modular form 832.1.bb.b
8-832e4-1.1-c0e4-0-1	$0.644$	$0.0297$	$8$	$2^{24} \cdot 13^{4}$	1.1		$0.0, 0.0, 0.0, 0.0$	0		$1$	$0$	$1.38817$	Modular form 832.1.bl.a
8-832e4-1.1-c1e4-0-0	$2.57$	$1.94\times 10^{3}$	$8$	$2^{24} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.116630$	Modular form 832.2.f.g
8-832e4-1.1-c1e4-0-1	$2.57$	$1.94\times 10^{3}$	$8$	$2^{24} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.148446$	Modular form 832.2.k.f
8-832e4-1.1-c1e4-0-10	$2.57$	$1.94\times 10^{3}$	$8$	$2^{24} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.457123$	Modular form 832.2.w.e
8-832e4-1.1-c1e4-0-11	$2.57$	$1.94\times 10^{3}$	$8$	$2^{24} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.477640$	Modular form 832.2.f.f
8-832e4-1.1-c1e4-0-12	$2.57$	$1.94\times 10^{3}$	$8$	$2^{24} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.498670$	Modular form 832.2.a.p
8-832e4-1.1-c1e4-0-13	$2.57$	$1.94\times 10^{3}$	$8$	$2^{24} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.534331$	Modular form 832.2.bu.e
8-832e4-1.1-c1e4-0-14	$2.57$	$1.94\times 10^{3}$	$8$	$2^{24} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.538170$	Modular form 832.2.bu.b
8-832e4-1.1-c1e4-0-15	$2.57$	$1.94\times 10^{3}$	$8$	$2^{24} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.564996$	Modular form 832.2.f.h
8-832e4-1.1-c1e4-0-16	$2.57$	$1.94\times 10^{3}$	$8$	$2^{24} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.605627$	Modular form 832.2.i.m
8-832e4-1.1-c1e4-0-17	$2.57$	$1.94\times 10^{3}$	$8$	$2^{24} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.630236$	Modular form 832.2.w.f
8-832e4-1.1-c1e4-0-18	$2.57$	$1.94\times 10^{3}$	$8$	$2^{24} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.632339$	Modular form 832.2.e.a
8-832e4-1.1-c1e4-0-19	$2.57$	$1.94\times 10^{3}$	$8$	$2^{24} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.639203$	Modular form 832.2.k.e
8-832e4-1.1-c1e4-0-2	$2.57$	$1.94\times 10^{3}$	$8$	$2^{24} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.255034$	Modular form 832.2.b.a
8-832e4-1.1-c1e4-0-20	$2.57$	$1.94\times 10^{3}$	$8$	$2^{24} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.644017$	Modular form 832.2.i.l
8-832e4-1.1-c1e4-0-21	$2.57$	$1.94\times 10^{3}$	$8$	$2^{24} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.698752$	Modular form 832.2.bu.g
8-832e4-1.1-c1e4-0-22	$2.57$	$1.94\times 10^{3}$	$8$	$2^{24} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.705957$	Modular form 832.2.i.k
8-832e4-1.1-c1e4-0-23	$2.57$	$1.94\times 10^{3}$	$8$	$2^{24} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.710487$	Modular form 832.2.bu.f
8-832e4-1.1-c1e4-0-24	$2.57$	$1.94\times 10^{3}$	$8$	$2^{24} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.718830$	Modular form 832.2.bu.h
8-832e4-1.1-c1e4-0-25	$2.57$	$1.94\times 10^{3}$	$8$	$2^{24} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.744862$	Modular form 832.2.i.p
8-832e4-1.1-c1e4-0-26	$2.57$	$1.94\times 10^{3}$	$8$	$2^{24} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.758983$	Modular form 832.2.ba.f
8-832e4-1.1-c1e4-0-27	$2.57$	$1.94\times 10^{3}$	$8$	$2^{24} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.854807$	Modular form 832.2.ba.d
8-832e4-1.1-c1e4-0-28	$2.57$	$1.94\times 10^{3}$	$8$	$2^{24} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$1.04407$	Modular form 832.2.b.b
8-832e4-1.1-c1e4-0-29	$2.57$	$1.94\times 10^{3}$	$8$	$2^{24} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$1.09463$	Modular form 832.2.e.b
8-832e4-1.1-c1e4-0-3	$2.57$	$1.94\times 10^{3}$	$8$	$2^{24} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.274759$	Modular form 832.2.bu.a
8-832e4-1.1-c1e4-0-30	$2.57$	$1.94\times 10^{3}$	$8$	$2^{24} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$4$	$1.22542$	Modular form 832.2.ba.c
8-832e4-1.1-c1e4-0-31	$2.57$	$1.94\times 10^{3}$	$8$	$2^{24} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$4$	$1.55127$	Modular form 832.2.ba.a
8-832e4-1.1-c1e4-0-32	$2.57$	$1.94\times 10^{3}$	$8$	$2^{24} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$4$	$1.61003$	Modular form 832.2.bu.d
8-832e4-1.1-c1e4-0-4	$2.57$	$1.94\times 10^{3}$	$8$	$2^{24} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.298631$	Modular form 832.2.ba.b
8-832e4-1.1-c1e4-0-5	$2.57$	$1.94\times 10^{3}$	$8$	$2^{24} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.311604$	Modular form 832.2.f.i
8-832e4-1.1-c1e4-0-6	$2.57$	$1.94\times 10^{3}$	$8$	$2^{24} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.368814$	Modular form 832.2.ba.e
8-832e4-1.1-c1e4-0-7	$2.57$	$1.94\times 10^{3}$	$8$	$2^{24} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.406600$	Modular form 832.2.bu.c
8-832e4-1.1-c1e4-0-8	$2.57$	$1.94\times 10^{3}$	$8$	$2^{24} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.412123$	Modular form 832.2.i.o
8-832e4-1.1-c1e4-0-9	$2.57$	$1.94\times 10^{3}$	$8$	$2^{24} \cdot 13^{4}$	1.1		$1.0, 1.0, 1.0, 1.0$	$1$		$1$	$0$	$0.426350$	Modular form 832.2.i.n
8-832e4-1.1-c2e4-0-0	$4.76$	$2.64\times 10^{5}$	$8$	$2^{24} \cdot 13^{4}$	1.1		$2.0, 2.0, 2.0, 2.0$	$2$		$1$	$0$	$0.372648$	Modular form 832.3.c.e
8-832e4-1.1-c2e4-0-1	$4.76$	$2.64\times 10^{5}$	$8$	$2^{24} \cdot 13^{4}$	1.1		$2.0, 2.0, 2.0, 2.0$	$2$		$1$	$0$	$0.387939$	Modular form 832.3.d.a
8-832e4-1.1-c3e4-0-0	$7.00$	$5.80\times 10^{6}$	$8$	$2^{24} \cdot 13^{4}$	1.1		$3.0, 3.0, 3.0, 3.0$	$3$		$1$	$0$	$0.198619$	Modular form 832.4.f.h
8-832e4-1.1-c3e4-0-1	$7.00$	$5.80\times 10^{6}$	$8$	$2^{24} \cdot 13^{4}$	1.1		$3.0, 3.0, 3.0, 3.0$	$3$		$1$	$0$	$0.229028$	Modular form 832.4.f.j
8-832e4-1.1-c3e4-0-2	$7.00$	$5.80\times 10^{6}$	$8$	$2^{24} \cdot 13^{4}$	1.1		$3.0, 3.0, 3.0, 3.0$	$3$		$1$	$0$	$0.305359$	Modular form 832.4.a.be
8-832e4-1.1-c3e4-0-3	$7.00$	$5.80\times 10^{6}$	$8$	$2^{24} \cdot 13^{4}$	1.1		$3.0, 3.0, 3.0, 3.0$	$3$		$1$	$0$	$0.349120$	Modular form 832.4.f.i
8-832e4-1.1-c3e4-0-4	$7.00$	$5.80\times 10^{6}$	$8$	$2^{24} \cdot 13^{4}$	1.1		$3.0, 3.0, 3.0, 3.0$	$3$		$1$	$0$	$0.558643$	Modular form 832.4.e.a
8-832e4-1.1-c5e4-0-0	$11.5$	$3.17\times 10^{8}$	$8$	$2^{24} \cdot 13^{4}$	1.1		$5.0, 5.0, 5.0, 5.0$	$5$		$1$	$0$	$0.314189$	Modular form 832.6.a.x
8-832e4-1.1-c5e4-0-1	$11.5$	$3.17\times 10^{8}$	$8$	$2^{24} \cdot 13^{4}$	1.1		$5.0, 5.0, 5.0, 5.0$	$5$		$1$	$4$	$0.854511$	Modular form 832.6.a.w

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