Newforms on Gamma_0(l) of Haupttypus

Splittings of newforms into Galois invariant pieces: weight 4 to 12


Galois splittings of newforms, haupttypus, weight 4
12345678910
0         111111
10 211.2121211.311.31
20 12.2131.41131312.2122.512
30 2.51312.2212.21.2.314.51.221.2.313
40 3.7124.61.21512.223.81314.415
50 13.2.31.21.4.8141.2.3.412.21.2.3.412.2.322.1012
60 6.912.3213.22151.23.512.27.91.322.4216
70 1.4.12141.7.1012.3.412.242.31.2.42.5162.5.1216
80 2512.2.327.131213.2.32.512.2.3.422.5212.2.312.6.1415
90 3.4.5.6321.23.3.622.4214.3.5.61611.1316.2212.2513.2
100 9.1614.2210.1512.22.312.252.32.510.161412.1518.2
110 13.3.5.717.212.1614.2212.2.52.822.312.23.3.413.3.4.51.3.4.7.916
120 1.24.42.62.3.4.642.62424.62.8181.13.1714.2412.2.52.812.25
130 11.21141.62.7.81.2.3.5.614.342.32.415.1913.22.32.12.2016
140 2.53.742.524.6.9.11171.62.7.81.22.6.718.23.324.515.2219
150 15.222.32.514.2.32.4215.23.31.4.6.9.1012.2218.211.3.4.6212.3.4.8.912.25
160 5.8.9.1214.2419.213.712.2.34.41.2.5.6.715.2616.2215.25.9212.24.32
170 14.2.32.4.65.618.2516.2.3212.23.3.42.5216.23.372.823.5.6.817.2715
180 1.19.2514.24.321.3.7.8.1112.32.4272.10.1217.22.31.3.4.102.126214.25.32.413.23.33
190 17.3011223.253.4.8.914.2.32.4314.2322.2717.2320.29110.22

Galois splittings of newforms, haupttypus, weight 6
12345678910
0     11111.21113
10 1.3  2.31212.21212.41312.2.41
20 1413.23.6131.231.221.23124.712
30 5.813.212.231.22.31.2.3.4127.812.2.31.2.3.413.2
40 6.10168.101.213.2322.327.121512.24.417
50 2.3.4.512.39.12163.4.5.612.2312.2.32.42.3.429.1514
60 11.1422.4215.22.417.21.3.4.6214.2213.152.42.3.42.516.22
70 11.181614.1612.3.5215.253.41.4.5.6.816.2214.1918.2
80 22.42.63.4.5.614.2012.225.7.8232.5.64.5.7.82.3.4215.2117
90 6.7.8.9424.5.7.842.621.5.6.9216.2219.2112.26.413.23.3.5212.23
100 17.2415.22.319.241.2.3.4.526.424.62.719.251.2321.2414.22.32
110 5.6.9.1017.2421.2514.23.322.72.10.121.22.61.22.32.42.65.62.87.8.12.1316.22

Galois splittings of newforms, haupttypus, weight 8
12345678910
0   11  1.211.2121.21
10 2.4121.2.412.212.2131.3.6124.61.2
20 1.22.313.25.8131.2413.221.24227.1016
30 7.101.231.22.3.413.2.32.3.4.51310.111.23.42.3.4.51.23
40 10.141611.133.417.222.32.411.161712.22.42.818.22
50 2.3.42.51.3214.1716.224.5.6.712.2.324.5.6.732.4.514.2014

Galois splittings of newforms, haupttypus, weight 10
12345678910
0   11211.212.3121313
10 3.514.512.212.22145.7146.81.2
20 1.22.313.227.1013.21.2.32.413.322.32.4229.1216
30 10.131.2432.422.32.41.2.4.5.612.213.1412.3.423.4.5.623.3

Galois splittings of newforms, haupttypus, weight 12
12345678910
0 1  111.2132.31.212.213.2
10 3.5125.612.221.22.313.26.8157.91.2
20 12.32.42.338.1113.212.2.4322.3.41.2.433211.1416