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Properties

Label 34272.2
Level 34272
Weight 2
Dimension 13484556
Nonzero newspaces 440
Sturm bound 127401984

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Defining parameters

Level: \( N \) = \( 34272 = 2^{5} \cdot 3^{2} \cdot 7 \cdot 17 \)
Weight: \( k \) = \( 2 \)
Nonzero newspaces: \( 440 \)
Sturm bound: \(127401984\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_1(34272))\).

Total New Old
Modular forms 31948800 13511556 18437244
Cusp forms 31752193 13484556 18267637
Eisenstein series 196607 27000 169607

Decomposition of \(S_{2}^{\mathrm{new}}(\Gamma_1(34272))\)

We only show spaces with even parity, since no modular forms exist when this condition is not satisfied. Within each space \( S_k^{\mathrm{new}}(N, \chi) \) we list available newforms together with their dimension.

Label \(\chi\) Newforms Dimension \(\chi\) degree
34272.2.a \(\chi_{34272}(1, \cdot)\) 34272.2.a.a 1 1
34272.2.a.b 1
34272.2.a.c 1
34272.2.a.d 1
34272.2.a.e 1
34272.2.a.f 1
34272.2.a.g 1
34272.2.a.h 1
34272.2.a.i 1
34272.2.a.j 1
34272.2.a.k 1
34272.2.a.l 1
34272.2.a.m 1
34272.2.a.n 1
34272.2.a.o 1
34272.2.a.p 1
34272.2.a.q 1
34272.2.a.r 1
34272.2.a.s 1
34272.2.a.t 1
34272.2.a.u 1
34272.2.a.v 1
34272.2.a.w 1
34272.2.a.x 1
34272.2.a.y 1
34272.2.a.z 1
34272.2.a.ba 1
34272.2.a.bb 1
34272.2.a.bc 1
34272.2.a.bd 1
34272.2.a.be 1
34272.2.a.bf 1
34272.2.a.bg 1
34272.2.a.bh 1
34272.2.a.bi 1
34272.2.a.bj 1
34272.2.a.bk 1
34272.2.a.bl 1
34272.2.a.bm 1
34272.2.a.bn 1
34272.2.a.bo 2
34272.2.a.bp 2
34272.2.a.bq 2
34272.2.a.br 2
34272.2.a.bs 2
34272.2.a.bt 2
34272.2.a.bu 2
34272.2.a.bv 2
34272.2.a.bw 2
34272.2.a.bx 2
34272.2.a.by 3
34272.2.a.bz 3
34272.2.a.ca 3
34272.2.a.cb 3
34272.2.a.cc 3
34272.2.a.cd 3
34272.2.a.ce 4
34272.2.a.cf 4
34272.2.a.cg 4
34272.2.a.ch 4
34272.2.a.ci 4
34272.2.a.cj 4
34272.2.a.ck 4
34272.2.a.cl 4
34272.2.a.cm 4
34272.2.a.cn 4
34272.2.a.co 5
34272.2.a.cp 5
34272.2.a.cq 5
34272.2.a.cr 5
34272.2.a.cs 5
34272.2.a.ct 5
34272.2.a.cu 6
34272.2.a.cv 6
34272.2.a.cw 6
34272.2.a.cx 6
34272.2.a.cy 6
34272.2.a.cz 6
34272.2.a.da 6
34272.2.a.db 6
34272.2.a.dc 6
34272.2.a.dd 6
34272.2.a.de 6
34272.2.a.df 6
34272.2.a.dg 6
34272.2.a.dh 6
34272.2.a.di 6
34272.2.a.dj 6
34272.2.a.dk 7
34272.2.a.dl 7
34272.2.a.dm 7
34272.2.a.dn 7
34272.2.a.do 7
34272.2.a.dp 7
34272.2.a.dq 7
34272.2.a.dr 7
34272.2.a.ds 8
34272.2.a.dt 8
34272.2.a.du 8
34272.2.a.dv 8
34272.2.a.dw 8
34272.2.a.dx 8
34272.2.a.dy 9
34272.2.a.dz 9
34272.2.a.ea 9
34272.2.a.eb 9
34272.2.a.ec 12
34272.2.a.ed 12
34272.2.a.ee 12
34272.2.a.ef 12
34272.2.a.eg 12
34272.2.a.eh 12
34272.2.a.ei 12
34272.2.a.ej 12
34272.2.c \(\chi_{34272}(17137, \cdot)\) n/a 480 1
34272.2.e \(\chi_{34272}(21727, \cdot)\) n/a 640 1
34272.2.f \(\chi_{34272}(24751, \cdot)\) n/a 716 1
34272.2.h \(\chi_{34272}(20161, \cdot)\) n/a 540 1
34272.2.k \(\chi_{34272}(32129, \cdot)\) n/a 576 1
34272.2.m \(\chi_{34272}(31823, \cdot)\) n/a 432 1
34272.2.n \(\chi_{34272}(28799, \cdot)\) n/a 384 1
34272.2.p \(\chi_{34272}(29105, \cdot)\) n/a 512 1
34272.2.r \(\chi_{34272}(11969, \cdot)\) n/a 512 1
34272.2.t \(\chi_{34272}(11663, \cdot)\) n/a 384 1
34272.2.w \(\chi_{34272}(14687, \cdot)\) n/a 432 1
34272.2.y \(\chi_{34272}(14993, \cdot)\) n/a 576 1
34272.2.z \(\chi_{34272}(3025, \cdot)\) n/a 540 1
34272.2.bb \(\chi_{34272}(7615, \cdot)\) n/a 720 1
34272.2.be \(\chi_{34272}(4591, \cdot)\) n/a 640 1
34272.2.bg \(\chi_{34272}(1633, \cdot)\) n/a 3072 2
34272.2.bh \(\chi_{34272}(11425, \cdot)\) n/a 2304 2
34272.2.bi \(\chi_{34272}(4897, \cdot)\) n/a 1280 2
34272.2.bj \(\chi_{34272}(13057, \cdot)\) n/a 3072 2
34272.2.bt \(\chi_{34272}(15695, \cdot)\) n/a 864 2
34272.2.bv \(\chi_{34272}(3583, \cdot)\) n/a 1440 2
34272.2.bx \(\chi_{34272}(16001, \cdot)\) n/a 1152 2
34272.2.bz \(\chi_{34272}(21169, \cdot)\) n/a 1080 2
34272.2.cr \(\chi_{34272}(4033, \cdot)\) n/a 1080 2
34272.2.ct \(\chi_{34272}(10961, \cdot)\) n/a 1152 2
34272.2.cv \(\chi_{34272}(8623, \cdot)\) n/a 1432 2
34272.2.cx \(\chi_{34272}(10655, \cdot)\) n/a 864 2
34272.2.dh \(\chi_{34272}(2209, \cdot)\) n/a 3456 2
34272.2.dj \(\chi_{34272}(23119, \cdot)\) n/a 3440 2
34272.2.dk \(\chi_{34272}(20095, \cdot)\) n/a 3072 2
34272.2.dm \(\chi_{34272}(30193, \cdot)\) n/a 3072 2
34272.2.dp \(\chi_{34272}(12785, \cdot)\) n/a 3072 2
34272.2.dr \(\chi_{34272}(22271, \cdot)\) n/a 3072 2
34272.2.ds \(\chi_{34272}(25295, \cdot)\) n/a 3440 2
34272.2.du \(\chi_{34272}(15809, \cdot)\) n/a 3456 2
34272.2.dx \(\chi_{34272}(2719, \cdot)\) n/a 1440 2
34272.2.dz \(\chi_{34272}(7921, \cdot)\) n/a 1432 2
34272.2.ea \(\chi_{34272}(16015, \cdot)\) n/a 3072 2
34272.2.ee \(\chi_{34272}(22543, \cdot)\) n/a 3072 2
34272.2.eh \(\chi_{34272}(14449, \cdot)\) n/a 2592 2
34272.2.ei \(\chi_{34272}(25567, \cdot)\) n/a 3456 2
34272.2.ek \(\chi_{34272}(4657, \cdot)\) n/a 3440 2
34272.2.en \(\chi_{34272}(19039, \cdot)\) n/a 3456 2
34272.2.ep \(\chi_{34272}(14383, \cdot)\) n/a 1280 2
34272.2.es \(\chi_{34272}(1871, \cdot)\) n/a 1024 2
34272.2.eu \(\chi_{34272}(7073, \cdot)\) n/a 1024 2
34272.2.ev \(\chi_{34272}(3263, \cdot)\) n/a 2592 2
34272.2.ey \(\chi_{34272}(13361, \cdot)\) n/a 3440 2
34272.2.fa \(\chi_{34272}(27743, \cdot)\) n/a 3456 2
34272.2.fb \(\chi_{34272}(3569, \cdot)\) n/a 3440 2
34272.2.fe \(\chi_{34272}(545, \cdot)\) n/a 3072 2
34272.2.ff \(\chi_{34272}(24719, \cdot)\) n/a 3072 2
34272.2.fh \(\chi_{34272}(10337, \cdot)\) n/a 3072 2
34272.2.fk \(\chi_{34272}(239, \cdot)\) n/a 2304 2
34272.2.fl \(\chi_{34272}(10097, \cdot)\) n/a 1152 2
34272.2.fn \(\chi_{34272}(4895, \cdot)\) n/a 1152 2
34272.2.fp \(\chi_{34272}(2447, \cdot)\) n/a 1152 2
34272.2.fr \(\chi_{34272}(7649, \cdot)\) n/a 1152 2
34272.2.fu \(\chi_{34272}(5951, \cdot)\) n/a 2304 2
34272.2.fv \(\chi_{34272}(1361, \cdot)\) n/a 3072 2
34272.2.fx \(\chi_{34272}(7583, \cdot)\) n/a 3072 2
34272.2.ga \(\chi_{34272}(6257, \cdot)\) n/a 3072 2
34272.2.gb \(\chi_{34272}(9281, \cdot)\) n/a 3456 2
34272.2.ge \(\chi_{34272}(10607, \cdot)\) n/a 3440 2
34272.2.gg \(\chi_{34272}(4385, \cdot)\) n/a 3456 2
34272.2.gh \(\chi_{34272}(8975, \cdot)\) n/a 2592 2
34272.2.gk \(\chi_{34272}(4625, \cdot)\) n/a 1024 2
34272.2.gm \(\chi_{34272}(19007, \cdot)\) n/a 1024 2
34272.2.gn \(\chi_{34272}(16831, \cdot)\) n/a 1280 2
34272.2.gp \(\chi_{34272}(7345, \cdot)\) n/a 1280 2
34272.2.gs \(\chi_{34272}(1903, \cdot)\) n/a 3440 2
34272.2.gt \(\chi_{34272}(13633, \cdot)\) n/a 3456 2
34272.2.gv \(\chi_{34272}(8431, \cdot)\) n/a 3440 2
34272.2.gy \(\chi_{34272}(8737, \cdot)\) n/a 2592 2
34272.2.gz \(\chi_{34272}(5713, \cdot)\) n/a 2304 2
34272.2.hc \(\chi_{34272}(5407, \cdot)\) n/a 3072 2
34272.2.he \(\chi_{34272}(10609, \cdot)\) n/a 3072 2
34272.2.hf \(\chi_{34272}(10303, \cdot)\) n/a 3072 2
34272.2.hi \(\chi_{34272}(10369, \cdot)\) n/a 1440 2
34272.2.hk \(\chi_{34272}(271, \cdot)\) n/a 1432 2
34272.2.hl \(\chi_{34272}(1937, \cdot)\) n/a 3440 2
34272.2.hn \(\chi_{34272}(8159, \cdot)\) n/a 3456 2
34272.2.hq \(\chi_{34272}(5135, \cdot)\) n/a 3072 2
34272.2.hs \(\chi_{34272}(29921, \cdot)\) n/a 3072 2
34272.2.hu \(\chi_{34272}(2959, \cdot)\) n/a 3072 2
34272.2.hx \(\chi_{34272}(5983, \cdot)\) n/a 3456 2
34272.2.hz \(\chi_{34272}(16081, \cdot)\) n/a 3440 2
34272.2.ic \(\chi_{34272}(5363, \cdot)\) n/a 6912 4
34272.2.id \(\chi_{34272}(5347, \cdot)\) n/a 11504 4
34272.2.ig \(\chi_{34272}(14237, \cdot)\) n/a 9216 4
34272.2.ih \(\chi_{34272}(2269, \cdot)\) n/a 8640 4
34272.2.ik \(\chi_{34272}(7363, \cdot)\) n/a 11504 4
34272.2.il \(\chi_{34272}(13931, \cdot)\) n/a 6912 4
34272.2.io \(\chi_{34272}(5669, \cdot)\) n/a 9216 4
34272.2.ip \(\chi_{34272}(253, \cdot)\) n/a 8640 4
34272.2.iq \(\chi_{34272}(22177, \cdot)\) n/a 2160 4
34272.2.ir \(\chi_{34272}(559, \cdot)\) n/a 2864 4
34272.2.is \(\chi_{34272}(17009, \cdot)\) n/a 2304 4
34272.2.it \(\chi_{34272}(16703, \cdot)\) n/a 1728 4
34272.2.jg \(\chi_{34272}(8317, \cdot)\) n/a 8640 4
34272.2.jh \(\chi_{34272}(12907, \cdot)\) n/a 11504 4
34272.2.jk \(\chi_{34272}(11717, \cdot)\) n/a 9216 4
34272.2.jl \(\chi_{34272}(11411, \cdot)\) n/a 6912 4
34272.2.jo \(\chi_{34272}(7685, \cdot)\) n/a 8192 4
34272.2.jp \(\chi_{34272}(3331, \cdot)\) n/a 11504 4
34272.2.jq \(\chi_{34272}(7309, \cdot)\) n/a 8640 4
34272.2.jr \(\chi_{34272}(7379, \cdot)\) n/a 6144 4
34272.2.jw \(\chi_{34272}(1835, \cdot)\) n/a 6912 4
34272.2.jx \(\chi_{34272}(4285, \cdot)\) n/a 7680 4
34272.2.jy \(\chi_{34272}(307, \cdot)\) n/a 10240 4
34272.2.jz \(\chi_{34272}(2141, \cdot)\) n/a 9216 4
34272.2.ke \(\chi_{34272}(3149, \cdot)\) n/a 9216 4
34272.2.kf \(\chi_{34272}(2843, \cdot)\) n/a 6912 4
34272.2.ki \(\chi_{34272}(3277, \cdot)\) n/a 8640 4
34272.2.kj \(\chi_{34272}(4339, \cdot)\) n/a 11504 4
34272.2.ku \(\chi_{34272}(5041, \cdot)\) n/a 2160 4
34272.2.kv \(\chi_{34272}(9631, \cdot)\) n/a 2880 4
34272.2.kw \(\chi_{34272}(1889, \cdot)\) n/a 2304 4
34272.2.kx \(\chi_{34272}(1583, \cdot)\) n/a 1728 4
34272.2.le \(\chi_{34272}(757, \cdot)\) n/a 8640 4
34272.2.lf \(\chi_{34272}(12221, \cdot)\) n/a 9216 4
34272.2.li \(\chi_{34272}(3347, \cdot)\) n/a 6912 4
34272.2.lj \(\chi_{34272}(6859, \cdot)\) n/a 11504 4
34272.2.lm \(\chi_{34272}(2773, \cdot)\) n/a 8640 4
34272.2.ln \(\chi_{34272}(3653, \cdot)\) n/a 9216 4
34272.2.lq \(\chi_{34272}(4843, \cdot)\) n/a 11504 4
34272.2.lr \(\chi_{34272}(11915, \cdot)\) n/a 6912 4
34272.2.my \(\chi_{34272}(3617, \cdot)\) n/a 2304 4
34272.2.na \(\chi_{34272}(3889, \cdot)\) n/a 2864 4
34272.2.nc \(\chi_{34272}(5903, \cdot)\) n/a 2304 4
34272.2.ne \(\chi_{34272}(1279, \cdot)\) n/a 2880 4
34272.2.ng \(\chi_{34272}(10289, \cdot)\) n/a 6880 4
34272.2.ni \(\chi_{34272}(4705, \cdot)\) n/a 5184 4
34272.2.nk \(\chi_{34272}(191, \cdot)\) n/a 6912 4
34272.2.nm \(\chi_{34272}(6991, \cdot)\) n/a 6880 4
34272.2.np \(\chi_{34272}(11615, \cdot)\) n/a 6912 4
34272.2.nr \(\chi_{34272}(4399, \cdot)\) n/a 6880 4
34272.2.ns \(\chi_{34272}(16817, \cdot)\) n/a 6880 4
34272.2.nu \(\chi_{34272}(17089, \cdot)\) n/a 6912 4
34272.2.nx \(\chi_{34272}(5393, \cdot)\) n/a 6880 4
34272.2.nz \(\chi_{34272}(5665, \cdot)\) n/a 6912 4
34272.2.oa \(\chi_{34272}(9983, \cdot)\) n/a 5184 4
34272.2.oc \(\chi_{34272}(9295, \cdot)\) n/a 6880 4
34272.2.qq \(\chi_{34272}(2911, \cdot)\) n/a 6912 4
34272.2.qs \(\chi_{34272}(4271, \cdot)\) n/a 5184 4
34272.2.qu \(\chi_{34272}(3217, \cdot)\) n/a 6880 4
34272.2.qw \(\chi_{34272}(2945, \cdot)\) n/a 6912 4
34272.2.qz \(\chi_{34272}(625, \cdot)\) n/a 6880 4
34272.2.rb \(\chi_{34272}(353, \cdot)\) n/a 6912 4
34272.2.rc \(\chi_{34272}(1951, \cdot)\) n/a 6912 4
34272.2.re \(\chi_{34272}(9167, \cdot)\) n/a 6880 4
34272.2.rh \(\chi_{34272}(9439, \cdot)\) n/a 6912 4
34272.2.rj \(\chi_{34272}(6575, \cdot)\) n/a 6880 4
34272.2.rk \(\chi_{34272}(9745, \cdot)\) n/a 5184 4
34272.2.rm \(\chi_{34272}(4577, \cdot)\) n/a 6912 4
34272.2.ro \(\chi_{34272}(3727, \cdot)\) n/a 2864 4
34272.2.rq \(\chi_{34272}(863, \cdot)\) n/a 2304 4
34272.2.rs \(\chi_{34272}(6337, \cdot)\) n/a 2880 4
34272.2.ru \(\chi_{34272}(6065, \cdot)\) n/a 2304 4
34272.2.tl \(\chi_{34272}(6229, \cdot)\) n/a 23008 8
34272.2.tm \(\chi_{34272}(3275, \cdot)\) n/a 18432 8
34272.2.tp \(\chi_{34272}(1387, \cdot)\) n/a 17280 8
34272.2.tq \(\chi_{34272}(197, \cdot)\) n/a 13824 8
34272.2.tt \(\chi_{34272}(11285, \cdot)\) n/a 13824 8
34272.2.tu \(\chi_{34272}(755, \cdot)\) n/a 18432 8
34272.2.tx \(\chi_{34272}(1693, \cdot)\) n/a 23008 8
34272.2.ty \(\chi_{34272}(5923, \cdot)\) n/a 17280 8
34272.2.ue \(\chi_{34272}(3151, \cdot)\) n/a 4320 8
34272.2.uf \(\chi_{34272}(3457, \cdot)\) n/a 5760 8
34272.2.ug \(\chi_{34272}(3023, \cdot)\) n/a 4608 8
34272.2.uh \(\chi_{34272}(449, \cdot)\) n/a 3456 8
34272.2.ui \(\chi_{34272}(4465, \cdot)\) n/a 5728 8
34272.2.uj \(\chi_{34272}(4159, \cdot)\) n/a 4320 8
34272.2.uk \(\chi_{34272}(1457, \cdot)\) n/a 3456 8
34272.2.ul \(\chi_{34272}(6047, \cdot)\) n/a 4608 8
34272.2.uq \(\chi_{34272}(2213, \cdot)\) n/a 13824 8
34272.2.ut \(\chi_{34272}(10835, \cdot)\) n/a 18432 8
34272.2.uu \(\chi_{34272}(4213, \cdot)\) n/a 23008 8
34272.2.ux \(\chi_{34272}(379, \cdot)\) n/a 17280 8
34272.2.uy \(\chi_{34272}(3907, \cdot)\) n/a 17280 8
34272.2.vb \(\chi_{34272}(6245, \cdot)\) n/a 13824 8
34272.2.vc \(\chi_{34272}(181, \cdot)\) n/a 23008 8
34272.2.vf \(\chi_{34272}(1763, \cdot)\) n/a 18432 8
34272.2.vo \(\chi_{34272}(1957, \cdot)\) n/a 55232 8
34272.2.vp \(\chi_{34272}(1181, \cdot)\) n/a 55232 8
34272.2.vs \(\chi_{34272}(3715, \cdot)\) n/a 55232 8
34272.2.vt \(\chi_{34272}(5891, \cdot)\) n/a 55232 8
34272.2.vw \(\chi_{34272}(3317, \cdot)\) n/a 55232 8
34272.2.vx \(\chi_{34272}(3109, \cdot)\) n/a 41472 8
34272.2.wc \(\chi_{34272}(179, \cdot)\) n/a 18432 8
34272.2.wd \(\chi_{34272}(10531, \cdot)\) n/a 23008 8
34272.2.wg \(\chi_{34272}(2371, \cdot)\) n/a 55232 8
34272.2.wh \(\chi_{34272}(1283, \cdot)\) n/a 55232 8
34272.2.wk \(\chi_{34272}(6893, \cdot)\) n/a 18432 8
34272.2.wl \(\chi_{34272}(7669, \cdot)\) n/a 23008 8
34272.2.wo \(\chi_{34272}(4405, \cdot)\) n/a 55232 8
34272.2.wp \(\chi_{34272}(2021, \cdot)\) n/a 55232 8
34272.2.wq \(\chi_{34272}(155, \cdot)\) n/a 41472 8
34272.2.wr \(\chi_{34272}(4003, \cdot)\) n/a 55232 8
34272.2.wu \(\chi_{34272}(13037, \cdot)\) n/a 55232 8
34272.2.wv \(\chi_{34272}(13309, \cdot)\) n/a 55232 8
34272.2.wy \(\chi_{34272}(2803, \cdot)\) n/a 55232 8
34272.2.wz \(\chi_{34272}(7403, \cdot)\) n/a 55232 8
34272.2.xc \(\chi_{34272}(5381, \cdot)\) n/a 18432 8
34272.2.xd \(\chi_{34272}(5653, \cdot)\) n/a 23008 8
34272.2.xi \(\chi_{34272}(1651, \cdot)\) n/a 55232 8
34272.2.xj \(\chi_{34272}(3011, \cdot)\) n/a 41472 8
34272.2.xm \(\chi_{34272}(355, \cdot)\) n/a 55232 8
34272.2.xn \(\chi_{34272}(9851, \cdot)\) n/a 55232 8
34272.2.xq \(\chi_{34272}(461, \cdot)\) n/a 55232 8
34272.2.xr \(\chi_{34272}(5125, \cdot)\) n/a 41472 8
34272.2.xu \(\chi_{34272}(2117, \cdot)\) n/a 55232 8
34272.2.xv \(\chi_{34272}(2389, \cdot)\) n/a 55232 8
34272.2.xw \(\chi_{34272}(19, \cdot)\) n/a 23008 8
34272.2.xx \(\chi_{34272}(1691, \cdot)\) n/a 18432 8
34272.2.ye \(\chi_{34272}(2287, \cdot)\) n/a 5728 8
34272.2.yf \(\chi_{34272}(865, \cdot)\) n/a 5760 8
34272.2.yg \(\chi_{34272}(6911, \cdot)\) n/a 4608 8
34272.2.yh \(\chi_{34272}(593, \cdot)\) n/a 4608 8
34272.2.yi \(\chi_{34272}(1375, \cdot)\) n/a 13824 8
34272.2.yj \(\chi_{34272}(529, \cdot)\) n/a 13760 8
34272.2.yk \(\chi_{34272}(12623, \cdot)\) n/a 13760 8
34272.2.yl \(\chi_{34272}(257, \cdot)\) n/a 13824 8
34272.2.yu \(\chi_{34272}(1681, \cdot)\) n/a 10368 8
34272.2.yv \(\chi_{34272}(7999, \cdot)\) n/a 13824 8
34272.2.yw \(\chi_{34272}(18097, \cdot)\) n/a 13760 8
34272.2.yx \(\chi_{34272}(223, \cdot)\) n/a 13824 8
34272.2.yy \(\chi_{34272}(11297, \cdot)\) n/a 13824 8
34272.2.yz \(\chi_{34272}(1103, \cdot)\) n/a 13760 8
34272.2.za \(\chi_{34272}(17825, \cdot)\) n/a 13824 8
34272.2.zb \(\chi_{34272}(10991, \cdot)\) n/a 10368 8
34272.2.bao \(\chi_{34272}(2189, \cdot)\) n/a 55232 8
34272.2.bap \(\chi_{34272}(4883, \cdot)\) n/a 55232 8
34272.2.bas \(\chi_{34272}(4237, \cdot)\) n/a 55232 8
34272.2.bat \(\chi_{34272}(2299, \cdot)\) n/a 55232 8
34272.2.baw \(\chi_{34272}(1781, \cdot)\) n/a 18432 8
34272.2.bax \(\chi_{34272}(7739, \cdot)\) n/a 18432 8
34272.2.bay \(\chi_{34272}(1381, \cdot)\) n/a 55232 8
34272.2.baz \(\chi_{34272}(5155, \cdot)\) n/a 55232 8
34272.2.bbc \(\chi_{34272}(5461, \cdot)\) n/a 41472 8
34272.2.bbd \(\chi_{34272}(2155, \cdot)\) n/a 55232 8
34272.2.bbg \(\chi_{34272}(1517, \cdot)\) n/a 55232 8
34272.2.bbh \(\chi_{34272}(2027, \cdot)\) n/a 55232 8
34272.2.bbk \(\chi_{34272}(965, \cdot)\) n/a 55232 8
34272.2.bbl \(\chi_{34272}(659, \cdot)\) n/a 41472 8
34272.2.bbq \(\chi_{34272}(4645, \cdot)\) n/a 23008 8
34272.2.bbr \(\chi_{34272}(523, \cdot)\) n/a 23008 8
34272.2.bbs \(\chi_{34272}(5645, \cdot)\) n/a 49152 8
34272.2.bbt \(\chi_{34272}(4147, \cdot)\) n/a 55232 8
34272.2.bbu \(\chi_{34272}(373, \cdot)\) n/a 55232 8
34272.2.bbv \(\chi_{34272}(3299, \cdot)\) n/a 49152 8
34272.2.bcm \(\chi_{34272}(2957, \cdot)\) n/a 55232 8
34272.2.bcn \(\chi_{34272}(4997, \cdot)\) n/a 55232 8
34272.2.bco \(\chi_{34272}(3365, \cdot)\) n/a 18432 8
34272.2.bcp \(\chi_{34272}(1531, \cdot)\) n/a 20480 8
34272.2.bcq \(\chi_{34272}(3163, \cdot)\) n/a 49152 8
34272.2.bcr \(\chi_{34272}(6835, \cdot)\) n/a 49152 8
34272.2.bcs \(\chi_{34272}(1429, \cdot)\) n/a 36864 8
34272.2.bct \(\chi_{34272}(205, \cdot)\) n/a 49152 8
34272.2.bcu \(\chi_{34272}(613, \cdot)\) n/a 20480 8
34272.2.bcv \(\chi_{34272}(611, \cdot)\) n/a 18432 8
34272.2.bcw \(\chi_{34272}(3467, \cdot)\) n/a 55232 8
34272.2.bcx \(\chi_{34272}(4691, \cdot)\) n/a 41472 8
34272.2.bdk \(\chi_{34272}(1667, \cdot)\) n/a 36864 8
34272.2.bdl \(\chi_{34272}(443, \cdot)\) n/a 49152 8
34272.2.bdm \(\chi_{34272}(3707, \cdot)\) n/a 16384 8
34272.2.bdn \(\chi_{34272}(3637, \cdot)\) n/a 23008 8
34272.2.bdo \(\chi_{34272}(3229, \cdot)\) n/a 55232 8
34272.2.bdp \(\chi_{34272}(1597, \cdot)\) n/a 41472 8
34272.2.bdq \(\chi_{34272}(1291, \cdot)\) n/a 55232 8
34272.2.bdr \(\chi_{34272}(475, \cdot)\) n/a 55232 8
34272.2.bds \(\chi_{34272}(4555, \cdot)\) n/a 23008 8
34272.2.bdt \(\chi_{34272}(341, \cdot)\) n/a 16384 8
34272.2.bdu \(\chi_{34272}(1973, \cdot)\) n/a 49152 8
34272.2.bdv \(\chi_{34272}(3197, \cdot)\) n/a 49152 8
34272.2.bdw \(\chi_{34272}(1019, \cdot)\) n/a 55232 8
34272.2.bdx \(\chi_{34272}(5917, \cdot)\) n/a 49152 8
34272.2.bdy \(\chi_{34272}(1123, \cdot)\) n/a 49152 8
34272.2.bdz \(\chi_{34272}(101, \cdot)\) n/a 55232 8
34272.2.beg \(\chi_{34272}(2053, \cdot)\) n/a 23008 8
34272.2.beh \(\chi_{34272}(5563, \cdot)\) n/a 23008 8
34272.2.bei \(\chi_{34272}(1109, \cdot)\) n/a 55232 8
34272.2.bej \(\chi_{34272}(7331, \cdot)\) n/a 55232 8
34272.2.bem \(\chi_{34272}(293, \cdot)\) n/a 55232 8
34272.2.ben \(\chi_{34272}(3515, \cdot)\) n/a 41472 8
34272.2.beq \(\chi_{34272}(1789, \cdot)\) n/a 55232 8
34272.2.ber \(\chi_{34272}(115, \cdot)\) n/a 55232 8
34272.2.beu \(\chi_{34272}(421, \cdot)\) n/a 41472 8
34272.2.bev \(\chi_{34272}(1483, \cdot)\) n/a 55232 8
34272.2.bfa \(\chi_{34272}(4373, \cdot)\) n/a 18432 8
34272.2.bfb \(\chi_{34272}(1619, \cdot)\) n/a 18432 8
34272.2.bfe \(\chi_{34272}(2461, \cdot)\) n/a 55232 8
34272.2.bff \(\chi_{34272}(2707, \cdot)\) n/a 55232 8
34272.2.bfi \(\chi_{34272}(3965, \cdot)\) n/a 55232 8
34272.2.bfj \(\chi_{34272}(4475, \cdot)\) n/a 55232 8
34272.2.bgq \(\chi_{34272}(10447, \cdot)\) n/a 13760 8
34272.2.bgr \(\chi_{34272}(15649, \cdot)\) n/a 13824 8
34272.2.bgs \(\chi_{34272}(767, \cdot)\) n/a 13824 8
34272.2.bgt \(\chi_{34272}(15377, \cdot)\) n/a 13760 8
34272.2.bhc \(\chi_{34272}(1345, \cdot)\) n/a 10368 8
34272.2.bhd \(\chi_{34272}(943, \cdot)\) n/a 13760 8
34272.2.bhe \(\chi_{34272}(961, \cdot)\) n/a 13824 8
34272.2.bhf \(\chi_{34272}(3919, \cdot)\) n/a 13760 8
34272.2.bhg \(\chi_{34272}(2225, \cdot)\) n/a 13760 8
34272.2.bhh \(\chi_{34272}(10175, \cdot)\) n/a 13824 8
34272.2.bhi \(\chi_{34272}(689, \cdot)\) n/a 13760 8
34272.2.bhj \(\chi_{34272}(1919, \cdot)\) n/a 10368 8
34272.2.bhs \(\chi_{34272}(4735, \cdot)\) n/a 5760 8
34272.2.bht \(\chi_{34272}(3313, \cdot)\) n/a 5728 8
34272.2.bhu \(\chi_{34272}(4463, \cdot)\) n/a 4608 8
34272.2.bhv \(\chi_{34272}(3041, \cdot)\) n/a 4608 8
34272.2.bhw \(\chi_{34272}(2195, \cdot)\) n/a 18432 8
34272.2.bhx \(\chi_{34272}(2467, \cdot)\) n/a 23008 8
34272.2.bic \(\chi_{34272}(6469, \cdot)\) n/a 41472 8
34272.2.bid \(\chi_{34272}(1301, \cdot)\) n/a 55232 8
34272.2.big \(\chi_{34272}(1885, \cdot)\) n/a 55232 8
34272.2.bih \(\chi_{34272}(1613, \cdot)\) n/a 55232 8
34272.2.bik \(\chi_{34272}(2507, \cdot)\) n/a 41472 8
34272.2.bil \(\chi_{34272}(1147, \cdot)\) n/a 55232 8
34272.2.bio \(\chi_{34272}(2531, \cdot)\) n/a 55232 8
34272.2.bip \(\chi_{34272}(7675, \cdot)\) n/a 55232 8
34272.2.biq \(\chi_{34272}(1045, \cdot)\) n/a 23008 8
34272.2.bir \(\chi_{34272}(773, \cdot)\) n/a 18432 8
34272.2.biu \(\chi_{34272}(4979, \cdot)\) n/a 55232 8
34272.2.biv \(\chi_{34272}(5227, \cdot)\) n/a 55232 8
34272.2.biy \(\chi_{34272}(6757, \cdot)\) n/a 55232 8
34272.2.biz \(\chi_{34272}(6485, \cdot)\) n/a 55232 8
34272.2.bjc \(\chi_{34272}(9715, \cdot)\) n/a 55232 8
34272.2.bjd \(\chi_{34272}(995, \cdot)\) n/a 41472 8
34272.2.bji \(\chi_{34272}(7165, \cdot)\) n/a 23008 8
34272.2.bjj \(\chi_{34272}(7397, \cdot)\) n/a 18432 8
34272.2.bjm \(\chi_{34272}(4133, \cdot)\) n/a 55232 8
34272.2.bjn \(\chi_{34272}(2293, \cdot)\) n/a 55232 8
34272.2.bjq \(\chi_{34272}(451, \cdot)\) n/a 23008 8
34272.2.bjr \(\chi_{34272}(2627, \cdot)\) n/a 18432 8
34272.2.bju \(\chi_{34272}(7835, \cdot)\) n/a 55232 8
34272.2.bjv \(\chi_{34272}(5659, \cdot)\) n/a 55232 8
34272.2.bjw \(\chi_{34272}(8485, \cdot)\) n/a 41472 8
34272.2.bjx \(\chi_{34272}(2813, \cdot)\) n/a 55232 8
34272.2.bka \(\chi_{34272}(5387, \cdot)\) n/a 55232 8
34272.2.bkb \(\chi_{34272}(3211, \cdot)\) n/a 55232 8
34272.2.bke \(\chi_{34272}(1685, \cdot)\) n/a 55232 8
34272.2.bkf \(\chi_{34272}(1453, \cdot)\) n/a 55232 8
34272.2.blo \(\chi_{34272}(1219, \cdot)\) n/a 82944 16
34272.2.blr \(\chi_{34272}(533, \cdot)\) n/a 82944 16
34272.2.bls \(\chi_{34272}(1357, \cdot)\) n/a 110464 16
34272.2.blv \(\chi_{34272}(1091, \cdot)\) n/a 110464 16
34272.2.blx \(\chi_{34272}(2179, \cdot)\) n/a 46016 16
34272.2.bly \(\chi_{34272}(3509, \cdot)\) n/a 36864 16
34272.2.bma \(\chi_{34272}(3253, \cdot)\) n/a 110464 16
34272.2.bmc \(\chi_{34272}(2077, \cdot)\) n/a 110464 16
34272.2.bmf \(\chi_{34272}(299, \cdot)\) n/a 110464 16
34272.2.bmh \(\chi_{34272}(131, \cdot)\) n/a 110464 16
34272.2.bmi \(\chi_{34272}(403, \cdot)\) n/a 110464 16
34272.2.bmk \(\chi_{34272}(571, \cdot)\) n/a 110464 16
34272.2.bmn \(\chi_{34272}(6773, \cdot)\) n/a 110464 16
34272.2.bmp \(\chi_{34272}(1661, \cdot)\) n/a 110464 16
34272.2.bmr \(\chi_{34272}(2917, \cdot)\) n/a 46016 16
34272.2.bms \(\chi_{34272}(1907, \cdot)\) n/a 36864 16
34272.2.bmu \(\chi_{34272}(2885, \cdot)\) n/a 82944 16
34272.2.bmx \(\chi_{34272}(419, \cdot)\) n/a 110464 16
34272.2.bmy \(\chi_{34272}(1525, \cdot)\) n/a 110464 16
34272.2.bnb \(\chi_{34272}(1051, \cdot)\) n/a 82944 16
34272.2.bnd \(\chi_{34272}(1235, \cdot)\) n/a 110464 16
34272.2.bne \(\chi_{34272}(1571, \cdot)\) n/a 110464 16
34272.2.bnh \(\chi_{34272}(2987, \cdot)\) n/a 36864 16
34272.2.bni \(\chi_{34272}(2069, \cdot)\) n/a 36864 16
34272.2.bnl \(\chi_{34272}(7205, \cdot)\) n/a 110464 16
34272.2.bnm \(\chi_{34272}(821, \cdot)\) n/a 110464 16
34272.2.bnp \(\chi_{34272}(1507, \cdot)\) n/a 110464 16
34272.2.bnq \(\chi_{34272}(1843, \cdot)\) n/a 110464 16
34272.2.bnt \(\chi_{34272}(235, \cdot)\) n/a 46016 16
34272.2.bnu \(\chi_{34272}(1405, \cdot)\) n/a 46016 16
34272.2.bnx \(\chi_{34272}(1741, \cdot)\) n/a 110464 16
34272.2.bny \(\chi_{34272}(2581, \cdot)\) n/a 110464 16
34272.2.boa \(\chi_{34272}(1391, \cdot)\) n/a 27520 16
34272.2.bob \(\chi_{34272}(641, \cdot)\) n/a 27648 16
34272.2.boc \(\chi_{34272}(751, \cdot)\) n/a 27520 16
34272.2.bod \(\chi_{34272}(481, \cdot)\) n/a 27648 16
34272.2.boi \(\chi_{34272}(2335, \cdot)\) n/a 27648 16
34272.2.boj \(\chi_{34272}(913, \cdot)\) n/a 27520 16
34272.2.bok \(\chi_{34272}(3071, \cdot)\) n/a 27648 16
34272.2.bol \(\chi_{34272}(3089, \cdot)\) n/a 27520 16
34272.2.bou \(\chi_{34272}(1151, \cdot)\) n/a 9216 16
34272.2.bov \(\chi_{34272}(1745, \cdot)\) n/a 9216 16
34272.2.bow \(\chi_{34272}(3359, \cdot)\) n/a 27648 16
34272.2.box \(\chi_{34272}(113, \cdot)\) n/a 20736 16
34272.2.boy \(\chi_{34272}(415, \cdot)\) n/a 11520 16
34272.2.boz \(\chi_{34272}(3601, \cdot)\) n/a 11456 16
34272.2.bpa \(\chi_{34272}(2815, \cdot)\) n/a 20736 16
34272.2.bpb \(\chi_{34272}(3121, \cdot)\) n/a 27520 16
34272.2.bpk \(\chi_{34272}(737, \cdot)\) n/a 9216 16
34272.2.bpl \(\chi_{34272}(143, \cdot)\) n/a 9216 16
34272.2.bpm \(\chi_{34272}(5825, \cdot)\) n/a 20736 16
34272.2.bpn \(\chi_{34272}(335, \cdot)\) n/a 27520 16
34272.2.bpo \(\chi_{34272}(1153, \cdot)\) n/a 11520 16
34272.2.bpp \(\chi_{34272}(1423, \cdot)\) n/a 11456 16
34272.2.bpq \(\chi_{34272}(97, \cdot)\) n/a 27648 16
34272.2.bpr \(\chi_{34272}(1807, \cdot)\) n/a 20736 16
34272.2.bqa \(\chi_{34272}(1825, \cdot)\) n/a 27648 16
34272.2.bqb \(\chi_{34272}(79, \cdot)\) n/a 27520 16
34272.2.bqc \(\chi_{34272}(65, \cdot)\) n/a 27648 16
34272.2.bqd \(\chi_{34272}(2063, \cdot)\) n/a 27520 16
34272.2.bqi \(\chi_{34272}(401, \cdot)\) n/a 27520 16
34272.2.bqj \(\chi_{34272}(479, \cdot)\) n/a 27648 16
34272.2.bqk \(\chi_{34272}(241, \cdot)\) n/a 27520 16
34272.2.bql \(\chi_{34272}(1663, \cdot)\) n/a 27648 16
34272.2.bqm \(\chi_{34272}(2411, \cdot)\) n/a 36864 16
34272.2.bqp \(\chi_{34272}(2315, \cdot)\) n/a 110464 16
34272.2.bqq \(\chi_{34272}(227, \cdot)\) n/a 110464 16
34272.2.bqt \(\chi_{34272}(317, \cdot)\) n/a 110464 16
34272.2.bqu \(\chi_{34272}(653, \cdot)\) n/a 110464 16
34272.2.bqx \(\chi_{34272}(1493, \cdot)\) n/a 36864 16
34272.2.bqy \(\chi_{34272}(163, \cdot)\) n/a 46016 16
34272.2.brb \(\chi_{34272}(2587, \cdot)\) n/a 110464 16
34272.2.brc \(\chi_{34272}(499, \cdot)\) n/a 110464 16
34272.2.brf \(\chi_{34272}(61, \cdot)\) n/a 110464 16
34272.2.brg \(\chi_{34272}(5029, \cdot)\) n/a 110464 16
34272.2.brj \(\chi_{34272}(397, \cdot)\) n/a 46016 16
34272.2.brl \(\chi_{34272}(4397, \cdot)\) n/a 82944 16
34272.2.brm \(\chi_{34272}(1595, \cdot)\) n/a 110464 16
34272.2.brp \(\chi_{34272}(853, \cdot)\) n/a 110464 16
34272.2.brq \(\chi_{34272}(211, \cdot)\) n/a 82944 16
34272.2.brs \(\chi_{34272}(1333, \cdot)\) n/a 46016 16
34272.2.brv \(\chi_{34272}(1979, \cdot)\) n/a 36864 16
34272.2.brx \(\chi_{34272}(2851, \cdot)\) n/a 110464 16
34272.2.brz \(\chi_{34272}(1915, \cdot)\) n/a 110464 16
34272.2.bsa \(\chi_{34272}(2165, \cdot)\) n/a 110464 16
34272.2.bsc \(\chi_{34272}(725, \cdot)\) n/a 110464 16
34272.2.bsf \(\chi_{34272}(4597, \cdot)\) n/a 110464 16
34272.2.bsh \(\chi_{34272}(997, \cdot)\) n/a 110464 16
34272.2.bsi \(\chi_{34272}(1643, \cdot)\) n/a 110464 16
34272.2.bsk \(\chi_{34272}(2579, \cdot)\) n/a 110464 16
34272.2.bsm \(\chi_{34272}(2251, \cdot)\) n/a 46016 16
34272.2.bsp \(\chi_{34272}(989, \cdot)\) n/a 36864 16
34272.2.bsr \(\chi_{34272}(517, \cdot)\) n/a 110464 16
34272.2.bss \(\chi_{34272}(1931, \cdot)\) n/a 110464 16
34272.2.bsv \(\chi_{34272}(547, \cdot)\) n/a 82944 16
34272.2.bsw \(\chi_{34272}(29, \cdot)\) n/a 82944 16

"n/a" means that newforms for that character have not been added to the database yet

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_1(34272))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_1(34272)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_1(1))\)\(^{\oplus 72}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(2))\)\(^{\oplus 60}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(3))\)\(^{\oplus 48}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(4))\)\(^{\oplus 48}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(6))\)\(^{\oplus 40}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(7))\)\(^{\oplus 36}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(8))\)\(^{\oplus 36}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(9))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(12))\)\(^{\oplus 32}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(14))\)\(^{\oplus 30}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(16))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(17))\)\(^{\oplus 36}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(18))\)\(^{\oplus 20}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(21))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(24))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(28))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(32))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(34))\)\(^{\oplus 30}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(36))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(42))\)\(^{\oplus 20}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(48))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(51))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(56))\)\(^{\oplus 18}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(63))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(68))\)\(^{\oplus 24}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(72))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(84))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(96))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(102))\)\(^{\oplus 20}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(112))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(119))\)\(^{\oplus 18}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(126))\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(136))\)\(^{\oplus 18}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(144))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(153))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(168))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(204))\)\(^{\oplus 16}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(224))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(238))\)\(^{\oplus 15}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(252))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(272))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(288))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(306))\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(336))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(357))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(408))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(476))\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(504))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(544))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(612))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(672))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(714))\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(816))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(952))\)\(^{\oplus 9}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1008))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1071))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1224))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1428))\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1632))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(1904))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(2016))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(2142))\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(2448))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(2856))\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(3808))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(4284))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(4896))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(5712))\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(8568))\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(11424))\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(\Gamma_1(17136))\)\(^{\oplus 2}\)