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Label α\alpha AA dd NN χ\chi μ\mu ν\nu ww prim ϵ\epsilon rr First zero Origin
8-416e4-1.1-c0e4-0-0 0.4550.455 0.001850.00185 88 2201342^{20} \cdot 13^{4} 1.1 0.0,0.0,0.0,0.00.0, 0.0, 0.0, 0.0 0 11 00 1.046791.04679 Modular form 416.1.bl.a
8-416e4-1.1-c0e4-0-1 0.4550.455 0.001850.00185 88 2201342^{20} \cdot 13^{4} 1.1 0.0,0.0,0.0,0.00.0, 0.0, 0.0, 0.0 0 11 00 1.168171.16817 Modular form 416.1.bb.a
8-416e4-1.1-c1e4-0-0 1.821.82 121.121. 88 2201342^{20} \cdot 13^{4} 1.1 1.0,1.0,1.0,1.01.0, 1.0, 1.0, 1.0 11 11 00 0.1688000.168800 Modular form 416.2.i.d
8-416e4-1.1-c1e4-0-1 1.821.82 121.121. 88 2201342^{20} \cdot 13^{4} 1.1 1.0,1.0,1.0,1.01.0, 1.0, 1.0, 1.0 11 11 00 0.1976770.197677 Modular form 416.2.u.a
8-416e4-1.1-c1e4-0-10 1.821.82 121.121. 88 2201342^{20} \cdot 13^{4} 1.1 1.0,1.0,1.0,1.01.0, 1.0, 1.0, 1.0 11 11 00 0.8000970.800097 Modular form 416.2.k.c
8-416e4-1.1-c1e4-0-11 1.821.82 121.121. 88 2201342^{20} \cdot 13^{4} 1.1 1.0,1.0,1.0,1.01.0, 1.0, 1.0, 1.0 11 11 00 0.8342410.834241 Modular form 416.2.ba.b
8-416e4-1.1-c1e4-0-12 1.821.82 121.121. 88 2201342^{20} \cdot 13^{4} 1.1 1.0,1.0,1.0,1.01.0, 1.0, 1.0, 1.0 11 11 00 0.8402510.840251 Modular form 416.2.f.e
8-416e4-1.1-c1e4-0-13 1.821.82 121.121. 88 2201342^{20} \cdot 13^{4} 1.1 1.0,1.0,1.0,1.01.0, 1.0, 1.0, 1.0 11 11 00 0.8738900.873890 Modular form 416.2.w.b
8-416e4-1.1-c1e4-0-14 1.821.82 121.121. 88 2201342^{20} \cdot 13^{4} 1.1 1.0,1.0,1.0,1.01.0, 1.0, 1.0, 1.0 11 11 00 1.105791.10579 Modular form 416.2.b.b
8-416e4-1.1-c1e4-0-15 1.821.82 121.121. 88 2201342^{20} \cdot 13^{4} 1.1 1.0,1.0,1.0,1.01.0, 1.0, 1.0, 1.0 11 11 00 1.114821.11482 Modular form 416.2.k.d
8-416e4-1.1-c1e4-0-16 1.821.82 121.121. 88 2201342^{20} \cdot 13^{4} 1.1 1.0,1.0,1.0,1.01.0, 1.0, 1.0, 1.0 11 11 44 1.693491.69349 Modular form 416.2.bu.a
8-416e4-1.1-c1e4-0-2 1.821.82 121.121. 88 2201342^{20} \cdot 13^{4} 1.1 1.0,1.0,1.0,1.01.0, 1.0, 1.0, 1.0 11 11 00 0.5464760.546476 Modular form 416.2.i.f
8-416e4-1.1-c1e4-0-3 1.821.82 121.121. 88 2201342^{20} \cdot 13^{4} 1.1 1.0,1.0,1.0,1.01.0, 1.0, 1.0, 1.0 11 11 00 0.5561520.556152 Modular form 416.2.a.f
8-416e4-1.1-c1e4-0-4 1.821.82 121.121. 88 2201342^{20} \cdot 13^{4} 1.1 1.0,1.0,1.0,1.01.0, 1.0, 1.0, 1.0 11 11 00 0.5967560.596756 Modular form 416.2.i.c
8-416e4-1.1-c1e4-0-5 1.821.82 121.121. 88 2201342^{20} \cdot 13^{4} 1.1 1.0,1.0,1.0,1.01.0, 1.0, 1.0, 1.0 11 11 00 0.6345070.634507 Modular form 416.2.ba.a
8-416e4-1.1-c1e4-0-6 1.821.82 121.121. 88 2201342^{20} \cdot 13^{4} 1.1 1.0,1.0,1.0,1.01.0, 1.0, 1.0, 1.0 11 11 00 0.6524310.652431 Modular form 416.2.bu.b
8-416e4-1.1-c1e4-0-7 1.821.82 121.121. 88 2201342^{20} \cdot 13^{4} 1.1 1.0,1.0,1.0,1.01.0, 1.0, 1.0, 1.0 11 11 00 0.7019390.701939 Modular form 416.2.i.e
8-416e4-1.1-c1e4-0-8 1.821.82 121.121. 88 2201342^{20} \cdot 13^{4} 1.1 1.0,1.0,1.0,1.01.0, 1.0, 1.0, 1.0 11 11 00 0.7052850.705285 Modular form 416.2.f.d
8-416e4-1.1-c1e4-0-9 1.821.82 121.121. 88 2201342^{20} \cdot 13^{4} 1.1 1.0,1.0,1.0,1.01.0, 1.0, 1.0, 1.0 11 11 00 0.7971840.797184 Modular form 416.2.w.a
8-416e4-1.1-c2e4-0-0 3.363.36 1.65×1041.65\times 10^{4} 88 2201342^{20} \cdot 13^{4} 1.1 2.0,2.0,2.0,2.02.0, 2.0, 2.0, 2.0 22 11 00 0.1063270.106327 Modular form 416.3.bl.a
8-416e4-1.1-c2e4-0-1 3.363.36 1.65×1041.65\times 10^{4} 88 2201342^{20} \cdot 13^{4} 1.1 2.0,2.0,2.0,2.02.0, 2.0, 2.0, 2.0 22 11 00 0.1474830.147483 Modular form 416.3.x.c
8-416e4-1.1-c2e4-0-2 3.363.36 1.65×1041.65\times 10^{4} 88 2201342^{20} \cdot 13^{4} 1.1 2.0,2.0,2.0,2.02.0, 2.0, 2.0, 2.0 22 11 00 0.2169900.216990 Modular form 416.3.v.a
8-416e4-1.1-c2e4-0-3 3.363.36 1.65×1041.65\times 10^{4} 88 2201342^{20} \cdot 13^{4} 1.1 2.0,2.0,2.0,2.02.0, 2.0, 2.0, 2.0 22 11 00 0.7956600.795660 Modular form 416.3.bl.b
8-416e4-1.1-c3e4-0-0 4.954.95 3.62×1053.62\times 10^{5} 88 2201342^{20} \cdot 13^{4} 1.1 3.0,3.0,3.0,3.03.0, 3.0, 3.0, 3.0 33 11 00 0.2050070.205007 Modular form 416.4.i.a
8-416e4-1.1-c3e4-0-1 4.954.95 3.62×1053.62\times 10^{5} 88 2201342^{20} \cdot 13^{4} 1.1 3.0,3.0,3.0,3.03.0, 3.0, 3.0, 3.0 33 11 00 0.2184170.218417 Modular form 416.4.i.c
8-416e4-1.1-c3e4-0-2 4.954.95 3.62×1053.62\times 10^{5} 88 2201342^{20} \cdot 13^{4} 1.1 3.0,3.0,3.0,3.03.0, 3.0, 3.0, 3.0 33 11 00 0.3288710.328871 Modular form 416.4.f.b
8-416e4-1.1-c3e4-0-3 4.954.95 3.62×1053.62\times 10^{5} 88 2201342^{20} \cdot 13^{4} 1.1 3.0,3.0,3.0,3.03.0, 3.0, 3.0, 3.0 33 11 00 0.4527480.452748 Modular form 416.4.w.a
8-416e4-1.1-c3e4-0-4 4.954.95 3.62×1053.62\times 10^{5} 88 2201342^{20} \cdot 13^{4} 1.1 3.0,3.0,3.0,3.03.0, 3.0, 3.0, 3.0 33 11 00 0.5152700.515270 Modular form 416.4.i.b
8-416e4-1.1-c3e4-0-5 4.954.95 3.62×1053.62\times 10^{5} 88 2201342^{20} \cdot 13^{4} 1.1 3.0,3.0,3.0,3.03.0, 3.0, 3.0, 3.0 33 11 44 1.249981.24998 Modular form 416.4.a.g
8-416e4-1.1-c5e4-0-0 8.168.16 1.98×1071.98\times 10^{7} 88 2201342^{20} \cdot 13^{4} 1.1 5.0,5.0,5.0,5.05.0, 5.0, 5.0, 5.0 55 11 00 0.1274470.127447 Modular form 416.6.f.b
8-416e4-1.1-c7e4-0-0 11.311.3 2.85×1082.85\times 10^{8} 88 2201342^{20} \cdot 13^{4} 1.1 7.0,7.0,7.0,7.07.0, 7.0, 7.0, 7.0 77 11 00 0.02826300.0282630 Modular form 416.8.f.b
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