Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [105,3,Mod(17,105)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(105, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 2]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("105.17");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 105 = 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 105.w (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.86104277578\) |
Analytic rank: | \(0\) |
Dimension: | \(112\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 17.3 | ||
Character | \(\chi\) | \(=\) | 105.17 |
Dual form | 105.3.w.a.68.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) | \(71\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.26791 | − | 0.875634i | −1.63396 | − | 0.437817i | −0.678897 | − | 0.734233i | \(-0.737542\pi\) |
−0.955059 | + | 0.296416i | \(0.904209\pi\) | |||||||
\(3\) | −2.44299 | + | 1.74120i | −0.814331 | + | 0.580401i | ||||
\(4\) | 6.44841 | + | 3.72299i | 1.61210 | + | 0.930748i | ||||
\(5\) | −4.71757 | + | 1.65668i | −0.943513 | + | 0.331335i | ||||
\(6\) | 9.50814 | − | 3.55093i | 1.58469 | − | 0.591822i | ||||
\(7\) | 1.33404 | + | 6.87171i | 0.190577 | + | 0.981672i | ||||
\(8\) | −8.24376 | − | 8.24376i | −1.03047 | − | 1.03047i | ||||
\(9\) | 2.93642 | − | 8.50749i | 0.326269 | − | 0.945277i | ||||
\(10\) | 16.8672 | − | 1.28301i | 1.68672 | − | 0.128301i | ||||
\(11\) | 1.43950 | + | 0.831098i | 0.130864 | + | 0.0755544i | 0.564003 | − | 0.825773i | \(-0.309261\pi\) |
−0.433139 | + | 0.901327i | \(0.642594\pi\) | |||||||
\(12\) | −22.2359 | + | 2.13275i | −1.85299 | + | 0.177730i | ||||
\(13\) | −15.7842 | − | 15.7842i | −1.21417 | − | 1.21417i | −0.969643 | − | 0.244526i | \(-0.921368\pi\) |
−0.244526 | − | 0.969643i | \(-0.578632\pi\) | |||||||
\(14\) | 1.65758 | − | 23.6243i | 0.118399 | − | 1.68745i | ||||
\(15\) | 8.64037 | − | 12.2615i | 0.576025 | − | 0.817432i | ||||
\(16\) | 4.82939 | + | 8.36474i | 0.301837 | + | 0.522796i | ||||
\(17\) | 7.27399 | − | 1.94906i | 0.427882 | − | 0.114651i | −0.0384500 | − | 0.999261i | \(-0.512242\pi\) |
0.466332 | + | 0.884610i | \(0.345575\pi\) | |||||||
\(18\) | −17.0454 | + | 25.2305i | −0.946968 | + | 1.40169i | ||||
\(19\) | −6.28481 | − | 10.8856i | −0.330779 | − | 0.572927i | 0.651885 | − | 0.758317i | \(-0.273978\pi\) |
−0.982665 | + | 0.185391i | \(0.940645\pi\) | |||||||
\(20\) | −36.5886 | − | 6.88054i | −1.82943 | − | 0.344027i | ||||
\(21\) | −15.2241 | − | 14.4647i | −0.724956 | − | 0.688795i | ||||
\(22\) | −3.97644 | − | 3.97644i | −0.180747 | − | 0.180747i | ||||
\(23\) | 5.15777 | − | 19.2490i | 0.224251 | − | 0.836915i | −0.758453 | − | 0.651728i | \(-0.774044\pi\) |
0.982703 | − | 0.185187i | \(-0.0592890\pi\) | |||||||
\(24\) | 34.4935 | + | 5.78538i | 1.43723 | + | 0.241057i | ||||
\(25\) | 19.5109 | − | 15.6309i | 0.780434 | − | 0.625238i | ||||
\(26\) | 37.7602 | + | 65.4025i | 1.45231 | + | 2.51548i | ||||
\(27\) | 7.63961 | + | 25.8966i | 0.282949 | + | 0.959135i | ||||
\(28\) | −16.9809 | + | 49.2782i | −0.606460 | + | 1.75994i | ||||
\(29\) | 18.4846 | 0.637401 | 0.318700 | − | 0.947855i | \(-0.396754\pi\) | ||||
0.318700 | + | 0.947855i | \(0.396754\pi\) | |||||||
\(30\) | −38.9725 | + | 32.5037i | −1.29908 | + | 1.08346i | ||||
\(31\) | 14.8036 | + | 8.54685i | 0.477535 | + | 0.275705i | 0.719388 | − | 0.694608i | \(-0.244422\pi\) |
−0.241854 | + | 0.970313i | \(0.577755\pi\) | |||||||
\(32\) | 3.61215 | + | 13.4807i | 0.112880 | + | 0.421272i | ||||
\(33\) | −4.96381 | + | 0.476103i | −0.150418 | + | 0.0144274i | ||||
\(34\) | −25.4774 | −0.749336 | ||||||||
\(35\) | −17.6776 | − | 30.2077i | −0.505074 | − | 0.863076i | ||||
\(36\) | 50.6086 | − | 43.9275i | 1.40579 | − | 1.22021i | ||||
\(37\) | 4.39557 | − | 16.4045i | 0.118799 | − | 0.443365i | −0.880744 | − | 0.473593i | \(-0.842957\pi\) |
0.999543 | + | 0.0302283i | \(0.00962343\pi\) | |||||||
\(38\) | 11.0064 | + | 41.0764i | 0.289642 | + | 1.08096i | ||||
\(39\) | 66.0441 | + | 11.0772i | 1.69344 | + | 0.284030i | ||||
\(40\) | 52.5477 | + | 25.2332i | 1.31369 | + | 0.630831i | ||||
\(41\) | −57.3594 | −1.39901 | −0.699505 | − | 0.714628i | \(-0.746596\pi\) | ||||
−0.699505 | + | 0.714628i | \(0.746596\pi\) | |||||||
\(42\) | 37.0852 | + | 60.6001i | 0.882981 | + | 1.44286i | ||||
\(43\) | 9.66086 | − | 9.66086i | 0.224671 | − | 0.224671i | −0.585791 | − | 0.810462i | \(-0.699216\pi\) |
0.810462 | + | 0.585791i | \(0.199216\pi\) | |||||||
\(44\) | 6.18835 | + | 10.7185i | 0.140644 | + | 0.243603i | ||||
\(45\) | 0.241385 | + | 44.9994i | 0.00536410 | + | 0.999986i | ||||
\(46\) | −33.7103 | + | 58.3879i | −0.732832 | + | 1.26930i | ||||
\(47\) | 23.1916 | − | 86.5523i | 0.493438 | − | 1.84154i | −0.0451672 | − | 0.998979i | \(-0.514382\pi\) |
0.538606 | − | 0.842558i | \(-0.318951\pi\) | |||||||
\(48\) | −26.3629 | − | 12.0261i | −0.549226 | − | 0.250543i | ||||
\(49\) | −45.4407 | + | 18.3342i | −0.927361 | + | 0.374168i | ||||
\(50\) | −77.4468 | + | 33.9962i | −1.54894 | + | 0.679924i | ||||
\(51\) | −14.3766 | + | 17.4270i | −0.281894 | + | 0.341706i | ||||
\(52\) | −43.0186 | − | 160.547i | −0.827280 | − | 3.08745i | ||||
\(53\) | −18.7389 | + | 5.02109i | −0.353565 | + | 0.0947375i | −0.431230 | − | 0.902242i | \(-0.641920\pi\) |
0.0776649 | + | 0.996980i | \(0.475254\pi\) | |||||||
\(54\) | −2.28959 | − | 91.3175i | −0.0423999 | − | 1.69106i | ||||
\(55\) | −8.16782 | − | 1.53597i | −0.148506 | − | 0.0279267i | ||||
\(56\) | 45.6512 | − | 67.6462i | 0.815200 | − | 1.20797i | ||||
\(57\) | 34.3078 | + | 15.6503i | 0.601891 | + | 0.274567i | ||||
\(58\) | −60.4061 | − | 16.1858i | −1.04149 | − | 0.279065i | ||||
\(59\) | −65.3036 | − | 37.7030i | −1.10684 | − | 0.639034i | −0.168831 | − | 0.985645i | \(-0.553999\pi\) |
−0.938009 | + | 0.346611i | \(0.887333\pi\) | |||||||
\(60\) | 101.366 | − | 46.8991i | 1.68944 | − | 0.781652i | ||||
\(61\) | −44.4643 | + | 25.6715i | −0.728922 | + | 0.420843i | −0.818028 | − | 0.575179i | \(-0.804933\pi\) |
0.0891055 | + | 0.996022i | \(0.471599\pi\) | |||||||
\(62\) | −40.8929 | − | 40.8929i | −0.659562 | − | 0.659562i | ||||
\(63\) | 62.3783 | + | 8.82891i | 0.990132 | + | 0.140141i | ||||
\(64\) | − | 85.8518i | − | 1.34143i | ||||||
\(65\) | 100.612 | + | 48.3137i | 1.54788 | + | 0.743287i | ||||
\(66\) | 16.6382 | + | 2.79062i | 0.252094 | + | 0.0422821i | ||||
\(67\) | −77.0236 | + | 20.6384i | −1.14961 | + | 0.308036i | −0.782807 | − | 0.622264i | \(-0.786213\pi\) |
−0.366799 | + | 0.930300i | \(0.619546\pi\) | |||||||
\(68\) | 54.1620 | + | 14.5127i | 0.796500 | + | 0.213422i | ||||
\(69\) | 20.9161 | + | 56.0060i | 0.303132 | + | 0.811681i | ||||
\(70\) | 31.3180 | + | 114.195i | 0.447400 | + | 1.63136i | ||||
\(71\) | 34.3061i | 0.483184i | 0.970378 | + | 0.241592i | \(0.0776696\pi\) | ||||
−0.970378 | + | 0.241592i | \(0.922330\pi\) | |||||||
\(72\) | −94.3409 | + | 45.9265i | −1.31029 | + | 0.637869i | ||||
\(73\) | 47.3577 | − | 12.6895i | 0.648736 | − | 0.173828i | 0.0805787 | − | 0.996748i | \(-0.474323\pi\) |
0.568157 | + | 0.822920i | \(0.307656\pi\) | |||||||
\(74\) | −28.7287 | + | 49.7595i | −0.388225 | + | 0.672426i | ||||
\(75\) | −20.4482 | + | 72.1587i | −0.272643 | + | 0.962115i | ||||
\(76\) | − | 93.5932i | − | 1.23149i | ||||||
\(77\) | −3.79071 | + | 11.0006i | −0.0492300 | + | 0.142865i | ||||
\(78\) | −206.127 | − | 94.0297i | −2.64265 | − | 1.20551i | ||||
\(79\) | 109.925 | − | 63.4651i | 1.39145 | − | 0.803355i | 0.397976 | − | 0.917396i | \(-0.369713\pi\) |
0.993476 | + | 0.114040i | \(0.0363793\pi\) | |||||||
\(80\) | −36.6406 | − | 31.4605i | −0.458008 | − | 0.393256i | ||||
\(81\) | −63.7548 | − | 49.9632i | −0.787097 | − | 0.616829i | ||||
\(82\) | 187.446 | + | 50.2259i | 2.28592 | + | 0.612511i | ||||
\(83\) | 44.3401 | − | 44.3401i | 0.534218 | − | 0.534218i | −0.387607 | − | 0.921825i | \(-0.626698\pi\) |
0.921825 | + | 0.387607i | \(0.126698\pi\) | |||||||
\(84\) | −44.3192 | − | 149.953i | −0.527610 | − | 1.78516i | ||||
\(85\) | −31.0866 | + | 21.2455i | −0.365724 | + | 0.249947i | ||||
\(86\) | −40.0302 | + | 23.1115i | −0.465468 | + | 0.268738i | ||||
\(87\) | −45.1578 | + | 32.1855i | −0.519055 | + | 0.369948i | ||||
\(88\) | −5.01555 | − | 18.7183i | −0.0569949 | − | 0.212708i | ||||
\(89\) | −61.8344 | + | 35.7001i | −0.694769 | + | 0.401125i | −0.805396 | − | 0.592737i | \(-0.798047\pi\) |
0.110627 | + | 0.993862i | \(0.464714\pi\) | |||||||
\(90\) | 38.6142 | − | 147.265i | 0.429046 | − | 1.63628i | ||||
\(91\) | 87.4076 | − | 129.521i | 0.960523 | − | 1.42331i | ||||
\(92\) | 104.923 | − | 104.923i | 1.14047 | − | 1.14047i | ||||
\(93\) | −51.0468 | + | 4.89615i | −0.548890 | + | 0.0526467i | ||||
\(94\) | −151.576 | + | 262.538i | −1.61251 | + | 2.79296i | ||||
\(95\) | 47.6829 | + | 40.9417i | 0.501925 | + | 0.430965i | ||||
\(96\) | −32.2971 | − | 26.6438i | −0.336428 | − | 0.277540i | ||||
\(97\) | −73.5514 | + | 73.5514i | −0.758262 | + | 0.758262i | −0.976006 | − | 0.217744i | \(-0.930130\pi\) |
0.217744 | + | 0.976006i | \(0.430130\pi\) | |||||||
\(98\) | 164.550 | − | 20.1253i | 1.67908 | − | 0.205360i | ||||
\(99\) | 11.2976 | − | 9.80612i | 0.114117 | − | 0.0990517i | ||||
\(100\) | 184.008 | − | 28.1560i | 1.84008 | − | 0.281560i | ||||
\(101\) | 2.79746 | − | 4.84535i | 0.0276977 | − | 0.0479737i | −0.851844 | − | 0.523795i | \(-0.824516\pi\) |
0.879542 | + | 0.475821i | \(0.157849\pi\) | |||||||
\(102\) | 62.2411 | − | 44.3614i | 0.610207 | − | 0.434915i | ||||
\(103\) | −5.66513 | + | 21.1425i | −0.0550012 | + | 0.205267i | −0.987958 | − | 0.154720i | \(-0.950552\pi\) |
0.932957 | + | 0.359988i | \(0.117219\pi\) | |||||||
\(104\) | 260.242i | 2.50233i | ||||||||
\(105\) | 95.7839 | + | 43.0168i | 0.912228 | + | 0.409684i | ||||
\(106\) | 65.6339 | 0.619188 | ||||||||
\(107\) | −53.4833 | − | 14.3308i | −0.499844 | − | 0.133933i | 8.34971e−5 | − | 1.00000i | \(-0.499973\pi\) |
−0.499928 | + | 0.866067i | \(0.666640\pi\) | |||||||
\(108\) | −47.1496 | + | 195.435i | −0.436571 | + | 1.80958i | ||||
\(109\) | −22.1624 | − | 12.7955i | −0.203325 | − | 0.117389i | 0.394881 | − | 0.918732i | \(-0.370786\pi\) |
−0.598205 | + | 0.801343i | \(0.704119\pi\) | |||||||
\(110\) | 25.3468 | + | 12.1714i | 0.230425 | + | 0.110649i | ||||
\(111\) | 17.8252 | + | 47.7296i | 0.160588 | + | 0.429997i | ||||
\(112\) | −51.0375 | + | 44.3450i | −0.455692 | + | 0.395938i | ||||
\(113\) | −51.4175 | − | 51.4175i | −0.455022 | − | 0.455022i | 0.441995 | − | 0.897017i | \(-0.354271\pi\) |
−0.897017 | + | 0.441995i | \(0.854271\pi\) | |||||||
\(114\) | −98.4109 | − | 81.1850i | −0.863254 | − | 0.712149i | ||||
\(115\) | 7.55732 | + | 99.3534i | 0.0657158 | + | 0.863942i | ||||
\(116\) | 119.197 | + | 68.8181i | 1.02756 | + | 0.593260i | ||||
\(117\) | −180.633 | + | 87.9348i | −1.54387 | + | 0.751580i | ||||
\(118\) | 180.392 | + | 180.392i | 1.52875 | + | 1.52875i | ||||
\(119\) | 23.0971 | + | 47.3846i | 0.194094 | + | 0.398190i | ||||
\(120\) | −172.310 | + | 29.8516i | −1.43592 | + | 0.248763i | ||||
\(121\) | −59.1186 | − | 102.396i | −0.488583 | − | 0.846251i | ||||
\(122\) | 167.784 | − | 44.9576i | 1.37528 | − | 0.368505i | ||||
\(123\) | 140.129 | − | 99.8744i | 1.13926 | − | 0.811987i | ||||
\(124\) | 63.6397 | + | 110.227i | 0.513223 | + | 0.888929i | ||||
\(125\) | −66.1483 | + | 106.063i | −0.529187 | + | 0.848505i | ||||
\(126\) | −196.116 | − | 83.4727i | −1.55648 | − | 0.662482i | ||||
\(127\) | −17.5605 | − | 17.5605i | −0.138272 | − | 0.138272i | 0.634583 | − | 0.772855i | \(-0.281172\pi\) |
−0.772855 | + | 0.634583i | \(0.781172\pi\) | |||||||
\(128\) | −60.7262 | + | 226.633i | −0.474423 | + | 1.77057i | ||||
\(129\) | −6.77989 | + | 40.4229i | −0.0525573 | + | 0.313356i | ||||
\(130\) | −286.487 | − | 245.984i | −2.20374 | − | 1.89219i | ||||
\(131\) | 4.13960 | + | 7.17000i | 0.0316000 | + | 0.0547328i | 0.881393 | − | 0.472384i | \(-0.156606\pi\) |
−0.849793 | + | 0.527117i | \(0.823273\pi\) | |||||||
\(132\) | −33.7812 | − | 15.4101i | −0.255918 | − | 0.116743i | ||||
\(133\) | 66.4185 | − | 57.7092i | 0.499387 | − | 0.433904i | ||||
\(134\) | 269.778 | 2.01327 | ||||||||
\(135\) | −78.9427 | − | 109.513i | −0.584761 | − | 0.811206i | ||||
\(136\) | −76.0326 | − | 43.8974i | −0.559063 | − | 0.322775i | ||||
\(137\) | −22.5711 | − | 84.2366i | −0.164753 | − | 0.614866i | −0.998072 | − | 0.0620730i | \(-0.980229\pi\) |
0.833319 | − | 0.552793i | \(-0.186438\pi\) | |||||||
\(138\) | −19.3113 | − | 201.338i | −0.139937 | − | 1.45897i | ||||
\(139\) | 22.6616 | 0.163033 | 0.0815166 | − | 0.996672i | \(-0.474024\pi\) | ||||
0.0815166 | + | 0.996672i | \(0.474024\pi\) | |||||||
\(140\) | −1.52959 | − | 260.605i | −0.0109256 | − | 1.86146i | ||||
\(141\) | 94.0482 | + | 251.828i | 0.667008 | + | 1.78601i | ||||
\(142\) | 30.0396 | − | 112.109i | 0.211546 | − | 0.789502i | ||||
\(143\) | −9.60320 | − | 35.8396i | −0.0671552 | − | 0.250627i | ||||
\(144\) | 85.3441 | − | 16.5235i | 0.592667 | − | 0.114747i | ||||
\(145\) | −87.2024 | + | 30.6230i | −0.601396 | + | 0.211193i | ||||
\(146\) | −165.872 | −1.13611 | ||||||||
\(147\) | 79.0876 | − | 123.912i | 0.538011 | − | 0.842938i | ||||
\(148\) | 89.4183 | − | 89.4183i | 0.604178 | − | 0.604178i | ||||
\(149\) | −89.9312 | − | 155.765i | −0.603565 | − | 1.04540i | −0.992277 | − | 0.124045i | \(-0.960413\pi\) |
0.388712 | − | 0.921359i | \(-0.372920\pi\) | |||||||
\(150\) | 130.008 | − | 217.903i | 0.866717 | − | 1.45269i | ||||
\(151\) | −9.20737 | + | 15.9476i | −0.0609759 | + | 0.105613i | −0.894902 | − | 0.446263i | \(-0.852755\pi\) |
0.833926 | + | 0.551876i | \(0.186088\pi\) | |||||||
\(152\) | −37.9279 | + | 141.549i | −0.249525 | + | 0.931242i | ||||
\(153\) | 4.77790 | − | 67.6067i | 0.0312281 | − | 0.441874i | ||||
\(154\) | 22.0202 | − | 32.6296i | 0.142988 | − | 0.211881i | ||||
\(155\) | −83.9962 | − | 15.7956i | −0.541911 | − | 0.101907i | ||||
\(156\) | 384.640 | + | 317.312i | 2.46564 | + | 2.03405i | ||||
\(157\) | −20.1573 | − | 75.2282i | −0.128391 | − | 0.479161i | 0.871547 | − | 0.490312i | \(-0.163117\pi\) |
−0.999938 | + | 0.0111511i | \(0.996450\pi\) | |||||||
\(158\) | −414.797 | + | 111.144i | −2.62530 | + | 0.703446i | ||||
\(159\) | 37.0364 | − | 44.8948i | 0.232933 | − | 0.282357i | ||||
\(160\) | −39.3737 | − | 57.6120i | −0.246086 | − | 0.360075i | ||||
\(161\) | 139.154 | + | 9.76368i | 0.864313 | + | 0.0606439i | ||||
\(162\) | 164.596 | + | 219.101i | 1.01602 | + | 1.35248i | ||||
\(163\) | −89.7344 | − | 24.0443i | −0.550518 | − | 0.147511i | −0.0271714 | − | 0.999631i | \(-0.508650\pi\) |
−0.523346 | + | 0.852120i | \(0.675317\pi\) | |||||||
\(164\) | −369.877 | − | 213.549i | −2.25535 | − | 1.30213i | ||||
\(165\) | 22.6284 | − | 10.4695i | 0.137142 | − | 0.0634513i | ||||
\(166\) | −183.725 | + | 106.074i | −1.10678 | + | 0.638999i | ||||
\(167\) | 193.168 | + | 193.168i | 1.15670 | + | 1.15670i | 0.985182 | + | 0.171515i | \(0.0548661\pi\) |
0.171515 | + | 0.985182i | \(0.445134\pi\) | |||||||
\(168\) | 6.26024 | + | 244.747i | 0.0372633 | + | 1.45683i | ||||
\(169\) | 329.281i | 1.94841i | ||||||||
\(170\) | 120.191 | − | 42.2078i | 0.707008 | − | 0.248281i | ||||
\(171\) | −111.064 | + | 21.5032i | −0.649498 | + | 0.125750i | ||||
\(172\) | 98.2645 | − | 26.3299i | 0.571305 | − | 0.153081i | ||||
\(173\) | −49.6620 | − | 13.3069i | −0.287063 | − | 0.0769184i | 0.112414 | − | 0.993661i | \(-0.464142\pi\) |
−0.399477 | + | 0.916743i | \(0.630808\pi\) | |||||||
\(174\) | 175.754 | − | 65.6376i | 1.01008 | − | 0.377228i | ||||
\(175\) | 133.440 | + | 113.221i | 0.762512 | + | 0.646975i | ||||
\(176\) | 16.0548i | 0.0912203i | ||||||||
\(177\) | 225.185 | − | 21.5986i | 1.27223 | − | 0.122026i | ||||
\(178\) | 233.330 | − | 62.5205i | 1.31084 | − | 0.351239i | ||||
\(179\) | 134.852 | − | 233.570i | 0.753361 | − | 1.30486i | −0.192825 | − | 0.981233i | \(-0.561765\pi\) |
0.946185 | − | 0.323626i | \(-0.104902\pi\) | |||||||
\(180\) | −165.976 | + | 291.073i | −0.922087 | + | 1.61707i | ||||
\(181\) | − | 36.2093i | − | 0.200051i | −0.994985 | − | 0.100026i | \(-0.968108\pi\) | ||
0.994985 | − | 0.100026i | \(-0.0318925\pi\) | |||||||
\(182\) | −399.053 | + | 346.726i | −2.19260 | + | 1.90509i | ||||
\(183\) | 63.9266 | − | 140.136i | 0.349326 | − | 0.765773i | ||||
\(184\) | −201.204 | + | 116.165i | −1.09350 | + | 0.631332i | ||||
\(185\) | 6.44053 | + | 84.6713i | 0.0348137 | + | 0.457683i | ||||
\(186\) | 171.104 | + | 28.6982i | 0.919913 | + | 0.154291i | ||||
\(187\) | 12.0908 | + | 3.23972i | 0.0646567 | + | 0.0173247i | ||||
\(188\) | 471.783 | − | 471.783i | 2.50948 | − | 2.50948i | ||||
\(189\) | −167.763 | + | 87.0443i | −0.887633 | + | 0.460552i | ||||
\(190\) | −119.974 | − | 175.547i | −0.631440 | − | 0.923930i | ||||
\(191\) | 84.4687 | − | 48.7680i | 0.442245 | − | 0.255330i | −0.262305 | − | 0.964985i | \(-0.584483\pi\) |
0.704549 | + | 0.709655i | \(0.251149\pi\) | |||||||
\(192\) | 149.485 | + | 209.735i | 0.778570 | + | 1.09237i | ||||
\(193\) | 6.99661 | + | 26.1117i | 0.0362519 | + | 0.135294i | 0.981680 | − | 0.190537i | \(-0.0610228\pi\) |
−0.945428 | + | 0.325830i | \(0.894356\pi\) | |||||||
\(194\) | 304.764 | − | 175.955i | 1.57095 | − | 0.906987i | ||||
\(195\) | −329.919 | + | 57.1564i | −1.69189 | + | 0.293110i | ||||
\(196\) | −361.279 | − | 50.9486i | −1.84326 | − | 0.259942i | ||||
\(197\) | 41.1791 | − | 41.1791i | 0.209031 | − | 0.209031i | −0.594825 | − | 0.803856i | \(-0.702778\pi\) |
0.803856 | + | 0.594825i | \(0.202778\pi\) | |||||||
\(198\) | −45.5060 | + | 22.1530i | −0.229828 | + | 0.111884i | ||||
\(199\) | 122.180 | − | 211.621i | 0.613968 | − | 1.06342i | −0.376597 | − | 0.926377i | \(-0.622906\pi\) |
0.990565 | − | 0.137046i | \(-0.0437609\pi\) | |||||||
\(200\) | −289.701 | − | 31.9850i | −1.44850 | − | 0.159925i | ||||
\(201\) | 152.232 | − | 184.533i | 0.757375 | − | 0.918076i | ||||
\(202\) | −13.3846 | + | 13.3846i | −0.0662605 | + | 0.0662605i | ||||
\(203\) | 24.6592 | + | 127.021i | 0.121474 | + | 0.625719i | ||||
\(204\) | −157.587 | + | 58.8527i | −0.772485 | + | 0.288494i | ||||
\(205\) | 270.597 | − | 95.0259i | 1.31998 | − | 0.463541i | ||||
\(206\) | 37.0263 | − | 64.1314i | 0.179739 | − | 0.311317i | ||||
\(207\) | −148.616 | − | 100.403i | −0.717950 | − | 0.485039i | ||||
\(208\) | 55.8027 | − | 208.259i | 0.268282 | − | 1.00124i | ||||
\(209\) | − | 20.8932i | − | 0.0999674i | ||||||
\(210\) | −275.346 | − | 224.447i | −1.31117 | − | 1.06879i | ||||
\(211\) | −287.338 | −1.36179 | −0.680895 | − | 0.732381i | \(-0.738409\pi\) | ||||
−0.680895 | + | 0.732381i | \(0.738409\pi\) | |||||||
\(212\) | −139.530 | − | 37.3869i | −0.658160 | − | 0.176353i | ||||
\(213\) | −59.7339 | − | 83.8095i | −0.280441 | − | 0.393472i | ||||
\(214\) | 162.230 | + | 93.6637i | 0.758085 | + | 0.437681i | ||||
\(215\) | −29.5708 | + | 61.5806i | −0.137539 | + | 0.286422i | ||||
\(216\) | 150.507 | − | 276.465i | 0.696790 | − | 1.27993i | ||||
\(217\) | −38.9829 | + | 113.128i | −0.179645 | + | 0.521325i | ||||
\(218\) | 61.2205 | + | 61.2205i | 0.280828 | + | 0.280828i | ||||
\(219\) | −93.5996 | + | 113.460i | −0.427396 | + | 0.518081i | ||||
\(220\) | −46.9511 | − | 40.3133i | −0.213414 | − | 0.183242i | ||||
\(221\) | −145.578 | − | 84.0497i | −0.658726 | − | 0.380315i | ||||
\(222\) | −16.4575 | − | 171.585i | −0.0741330 | − | 0.772904i | ||||
\(223\) | −49.8702 | − | 49.8702i | −0.223633 | − | 0.223633i | 0.586393 | − | 0.810026i | \(-0.300547\pi\) |
−0.810026 | + | 0.586393i | \(0.800547\pi\) | |||||||
\(224\) | −87.8167 | + | 42.8054i | −0.392039 | + | 0.191096i | ||||
\(225\) | −75.6881 | − | 211.888i | −0.336391 | − | 0.941722i | ||||
\(226\) | 123.005 | + | 213.051i | 0.544270 | + | 0.942703i | ||||
\(227\) | −395.119 | + | 105.872i | −1.74061 | + | 0.466396i | −0.982583 | − | 0.185825i | \(-0.940504\pi\) |
−0.758029 | + | 0.652221i | \(0.773838\pi\) | |||||||
\(228\) | 162.965 | + | 228.647i | 0.714758 | + | 1.00284i | ||||
\(229\) | −67.5596 | − | 117.017i | −0.295020 | − | 0.510990i | 0.679969 | − | 0.733241i | \(-0.261993\pi\) |
−0.974990 | + | 0.222250i | \(0.928660\pi\) | |||||||
\(230\) | 62.3006 | − | 331.296i | 0.270872 | − | 1.44042i | ||||
\(231\) | −9.89356 | − | 33.4747i | −0.0428292 | − | 0.144912i | ||||
\(232\) | −152.383 | − | 152.383i | −0.656822 | − | 0.656822i | ||||
\(233\) | −73.3702 | + | 273.821i | −0.314894 | + | 1.17520i | 0.609195 | + | 0.793021i | \(0.291493\pi\) |
−0.924088 | + | 0.382179i | \(0.875174\pi\) | |||||||
\(234\) | 667.291 | − | 129.195i | 2.85167 | − | 0.552115i | ||||
\(235\) | 33.9811 | + | 446.737i | 0.144600 | + | 1.90101i | ||||
\(236\) | −280.736 | − | 486.249i | −1.18956 | − | 2.06038i | ||||
\(237\) | −158.040 | + | 346.446i | −0.666834 | + | 1.46180i | ||||
\(238\) | −33.9879 | − | 175.073i | −0.142806 | − | 0.735602i | ||||
\(239\) | 115.204 | 0.482026 | 0.241013 | − | 0.970522i | \(-0.422520\pi\) | ||||
0.241013 | + | 0.970522i | \(0.422520\pi\) | |||||||
\(240\) | 144.292 | + | 13.0590i | 0.601216 | + | 0.0544125i | ||||
\(241\) | 336.331 | + | 194.181i | 1.39556 | + | 0.805728i | 0.993924 | − | 0.110070i | \(-0.0351075\pi\) |
0.401639 | + | 0.915798i | \(0.368441\pi\) | |||||||
\(242\) | 103.532 | + | 386.388i | 0.427820 | + | 1.59665i | ||||
\(243\) | 242.749 | + | 11.0495i | 0.998966 | + | 0.0454714i | ||||
\(244\) | −382.299 | −1.56680 | ||||||||
\(245\) | 183.996 | − | 161.773i | 0.751002 | − | 0.660300i | ||||
\(246\) | −545.381 | + | 203.679i | −2.21700 | + | 0.827965i | ||||
\(247\) | −72.6199 | + | 271.021i | −0.294008 | + | 1.09725i | ||||
\(248\) | −51.5789 | − | 192.495i | −0.207980 | − | 0.776190i | ||||
\(249\) | −31.1174 | + | 185.528i | −0.124969 | + | 0.745091i | ||||
\(250\) | 309.040 | − | 288.683i | 1.23616 | − | 1.15473i | ||||
\(251\) | 188.758 | 0.752024 | 0.376012 | − | 0.926615i | \(-0.377295\pi\) | ||||
0.376012 | + | 0.926615i | \(0.377295\pi\) | |||||||
\(252\) | 369.371 | + | 289.166i | 1.46576 | + | 1.14749i | ||||
\(253\) | 23.4225 | − | 23.4225i | 0.0925790 | − | 0.0925790i | ||||
\(254\) | 42.0096 | + | 72.7628i | 0.165392 | + | 0.286468i | ||||
\(255\) | 38.9516 | − | 106.030i | 0.152751 | − | 0.415806i | ||||
\(256\) | 225.192 | − | 390.044i | 0.879657 | − | 1.52361i | ||||
\(257\) | 73.0593 | − | 272.661i | 0.284277 | − | 1.06094i | −0.665089 | − | 0.746764i | \(-0.731606\pi\) |
0.949366 | − | 0.314173i | \(-0.101727\pi\) | |||||||
\(258\) | 57.5518 | − | 126.162i | 0.223069 | − | 0.488999i | ||||
\(259\) | 118.591 | + | 8.32084i | 0.457879 | + | 0.0321268i | ||||
\(260\) | 468.918 | + | 686.125i | 1.80353 | + | 2.63894i | ||||
\(261\) | 54.2787 | − | 157.258i | 0.207964 | − | 0.602520i | ||||
\(262\) | −7.24955 | − | 27.0557i | −0.0276701 | − | 0.103266i | ||||
\(263\) | −308.207 | + | 82.5839i | −1.17189 | + | 0.314007i | −0.791705 | − | 0.610903i | \(-0.790806\pi\) |
−0.380185 | + | 0.924910i | \(0.624140\pi\) | |||||||
\(264\) | 44.8453 | + | 36.9956i | 0.169869 | + | 0.140135i | ||||
\(265\) | 80.0839 | − | 54.7317i | 0.302203 | − | 0.206535i | ||||
\(266\) | −267.582 | + | 130.430i | −1.00595 | + | 0.490339i | ||||
\(267\) | 88.8999 | − | 194.881i | 0.332958 | − | 0.729893i | ||||
\(268\) | −573.517 | − | 153.673i | −2.13999 | − | 0.573408i | ||||
\(269\) | −94.7335 | − | 54.6944i | −0.352169 | − | 0.203325i | 0.313471 | − | 0.949598i | \(-0.398508\pi\) |
−0.665640 | + | 0.746273i | \(0.731841\pi\) | |||||||
\(270\) | 162.085 | + | 427.003i | 0.600314 | + | 1.58149i | ||||
\(271\) | −208.845 | + | 120.577i | −0.770646 | + | 0.444933i | −0.833105 | − | 0.553115i | \(-0.813439\pi\) |
0.0624590 | + | 0.998048i | \(0.480106\pi\) | |||||||
\(272\) | 51.4323 | + | 51.4323i | 0.189089 | + | 0.189089i | ||||
\(273\) | 11.9864 | + | 468.613i | 0.0439061 | + | 1.71653i | ||||
\(274\) | 295.042i | 1.07680i | ||||||||
\(275\) | 41.0768 | − | 6.28538i | 0.149370 | − | 0.0228559i | ||||
\(276\) | −73.6342 | + | 439.020i | −0.266790 | + | 1.59065i | ||||
\(277\) | 348.726 | − | 93.4409i | 1.25894 | − | 0.337332i | 0.433155 | − | 0.901319i | \(-0.357400\pi\) |
0.825783 | + | 0.563988i | \(0.190733\pi\) | |||||||
\(278\) | −74.0562 | − | 19.8433i | −0.266389 | − | 0.0713787i | ||||
\(279\) | 116.182 | − | 100.844i | 0.416422 | − | 0.361448i | ||||
\(280\) | −103.295 | + | 394.754i | −0.368910 | + | 1.40984i | ||||
\(281\) | 219.989i | 0.782881i | 0.920203 | + | 0.391440i | \(0.128023\pi\) | ||||
−0.920203 | + | 0.391440i | \(0.871977\pi\) | |||||||
\(282\) | −86.8320 | − | 905.303i | −0.307915 | − | 3.21029i | ||||
\(283\) | −35.0194 | + | 9.38341i | −0.123743 | + | 0.0331569i | −0.320159 | − | 0.947364i | \(-0.603736\pi\) |
0.196416 | + | 0.980521i | \(0.437070\pi\) | |||||||
\(284\) | −127.721 | + | 221.220i | −0.449723 | + | 0.778943i | ||||
\(285\) | −187.777 | − | 16.9946i | −0.658866 | − | 0.0596301i | ||||
\(286\) | 125.530i | 0.438915i | ||||||||
\(287\) | −76.5197 | − | 394.157i | −0.266619 | − | 1.37337i | ||||
\(288\) | 125.294 | + | 8.85477i | 0.435048 | + | 0.0307457i | ||||
\(289\) | −201.169 | + | 116.145i | −0.696087 | + | 0.401886i | ||||
\(290\) | 311.785 | − | 23.7159i | 1.07512 | − | 0.0817790i | ||||
\(291\) | 51.6176 | − | 307.754i | 0.177380 | − | 1.05757i | ||||
\(292\) | 352.625 | + | 94.4856i | 1.20762 | + | 0.323581i | ||||
\(293\) | −203.736 | + | 203.736i | −0.695345 | + | 0.695345i | −0.963403 | − | 0.268058i | \(-0.913618\pi\) |
0.268058 | + | 0.963403i | \(0.413618\pi\) | |||||||
\(294\) | −366.953 | + | 335.681i | −1.24814 | + | 1.14177i | ||||
\(295\) | 370.536 | + | 69.6797i | 1.25605 | + | 0.236202i | ||||
\(296\) | −171.471 | + | 98.9987i | −0.579293 | + | 0.334455i | ||||
\(297\) | −10.5254 | + | 43.6276i | −0.0354391 | + | 0.146894i | ||||
\(298\) | 157.494 | + | 587.774i | 0.528502 | + | 1.97240i | ||||
\(299\) | −385.242 | + | 222.419i | −1.28843 | + | 0.743878i | ||||
\(300\) | −400.505 | + | 389.180i | −1.33502 | + | 1.29727i | ||||
\(301\) | 79.2745 | + | 53.4986i | 0.263371 | + | 0.177736i | ||||
\(302\) | 44.0532 | − | 44.0532i | 0.145871 | − | 0.145871i | ||||
\(303\) | 1.60256 | + | 16.7081i | 0.00528896 | + | 0.0551422i | ||||
\(304\) | 60.7035 | − | 105.142i | 0.199683 | − | 0.345861i | ||||
\(305\) | 167.234 | − | 194.770i | 0.548308 | − | 0.638589i | ||||
\(306\) | −74.8125 | + | 216.749i | −0.244485 | + | 0.708330i | ||||
\(307\) | 276.674 | − | 276.674i | 0.901217 | − | 0.901217i | −0.0943242 | − | 0.995542i | \(-0.530069\pi\) |
0.995542 | + | 0.0943242i | \(0.0300690\pi\) | |||||||
\(308\) | −65.3991 | + | 56.8234i | −0.212335 | + | 0.184492i | ||||
\(309\) | −22.9736 | − | 61.5152i | −0.0743482 | − | 0.199078i | ||||
\(310\) | 260.661 | + | 125.169i | 0.840842 | + | 0.403770i | ||||
\(311\) | 214.922 | − | 372.256i | 0.691067 | − | 1.19696i | −0.280422 | − | 0.959877i | \(-0.590474\pi\) |
0.971489 | − | 0.237086i | \(-0.0761924\pi\) | |||||||
\(312\) | −453.134 | − | 635.769i | −1.45235 | − | 2.03772i | ||||
\(313\) | 64.8821 | − | 242.143i | 0.207291 | − | 0.773620i | −0.781448 | − | 0.623970i | \(-0.785519\pi\) |
0.988739 | − | 0.149650i | \(-0.0478147\pi\) | |||||||
\(314\) | 263.490i | 0.839139i | ||||||||
\(315\) | −308.900 | + | 61.6896i | −0.980636 | + | 0.195840i | ||||
\(316\) | 945.120 | 2.99089 | ||||||||
\(317\) | −145.493 | − | 38.9848i | −0.458970 | − | 0.122981i | 0.0219236 | − | 0.999760i | \(-0.493021\pi\) |
−0.480893 | + | 0.876779i | \(0.659688\pi\) | |||||||
\(318\) | −160.343 | + | 114.282i | −0.504223 | + | 0.359377i | ||||
\(319\) | 26.6087 | + | 15.3625i | 0.0834129 | + | 0.0481584i | ||||
\(320\) | 142.229 | + | 405.011i | 0.444464 | + | 1.26566i | ||||
\(321\) | 155.612 | − | 58.1153i | 0.484773 | − | 0.181044i | ||||
\(322\) | −446.195 | − | 153.755i | −1.38570 | − | 0.477501i | ||||
\(323\) | −66.9323 | − | 66.9323i | −0.207221 | − | 0.207221i | ||||
\(324\) | −225.105 | − | 559.542i | −0.694768 | − | 1.72698i | ||||
\(325\) | −554.685 | − | 61.2411i | −1.70672 | − | 0.188434i | ||||
\(326\) | 272.190 | + | 157.149i | 0.834939 | + | 0.482052i | ||||
\(327\) | 76.4220 | − | 7.33000i | 0.233706 | − | 0.0224159i | ||||
\(328\) | 472.857 | + | 472.857i | 1.44164 | + | 1.44164i | ||||
\(329\) | 625.700 | + | 43.9018i | 1.90182 | + | 0.133440i | ||||
\(330\) | −83.1149 | + | 14.3991i | −0.251863 | + | 0.0436338i | ||||
\(331\) | 80.1708 | + | 138.860i | 0.242208 | + | 0.419516i | 0.961343 | − | 0.275354i | \(-0.0887951\pi\) |
−0.719135 | + | 0.694870i | \(0.755462\pi\) | |||||||
\(332\) | 451.001 | − | 120.845i | 1.35844 | − | 0.363992i | ||||
\(333\) | −126.654 | − | 85.5658i | −0.380342 | − | 0.256954i | ||||
\(334\) | −462.112 | − | 800.402i | −1.38357 | − | 2.39641i | ||||
\(335\) | 329.173 | − | 224.966i | 0.982606 | − | 0.671541i | ||||
\(336\) | 47.4704 | − | 197.201i | 0.141281 | − | 0.586908i | ||||
\(337\) | −422.341 | − | 422.341i | −1.25324 | − | 1.25324i | −0.954260 | − | 0.298979i | \(-0.903354\pi\) |
−0.298979 | − | 0.954260i | \(-0.596646\pi\) | |||||||
\(338\) | 288.330 | − | 1076.06i | 0.853047 | − | 3.18362i | ||||
\(339\) | 215.141 | + | 36.0842i | 0.634634 | + | 0.106443i | ||||
\(340\) | −279.556 | + | 21.2644i | −0.822223 | + | 0.0625424i | ||||
\(341\) | 14.2065 | + | 24.6064i | 0.0416614 | + | 0.0721597i | ||||
\(342\) | 381.777 | + | 26.9809i | 1.11631 | + | 0.0788916i | ||||
\(343\) | −186.607 | − | 287.796i | −0.544044 | − | 0.839057i | ||||
\(344\) | −159.284 | −0.463034 | ||||||||
\(345\) | −191.457 | − | 229.561i | −0.554948 | − | 0.665393i | ||||
\(346\) | 150.639 | + | 86.9714i | 0.435373 | + | 0.251363i | ||||
\(347\) | 120.470 | + | 449.601i | 0.347176 | + | 1.29568i | 0.890049 | + | 0.455864i | \(0.150670\pi\) |
−0.542873 | + | 0.839815i | \(0.682664\pi\) | |||||||
\(348\) | −411.023 | + | 39.4232i | −1.18110 | + | 0.113285i | ||||
\(349\) | −363.274 | −1.04090 | −0.520450 | − | 0.853892i | \(-0.674236\pi\) | ||||
−0.520450 | + | 0.853892i | \(0.674236\pi\) | |||||||
\(350\) | −336.929 | − | 486.839i | −0.962654 | − | 1.39097i | ||||
\(351\) | 288.172 | − | 529.343i | 0.821004 | − | 1.50810i | ||||
\(352\) | −6.00410 | + | 22.4076i | −0.0170571 | + | 0.0636579i | ||||
\(353\) | 24.7551 | + | 92.3871i | 0.0701277 | + | 0.261720i | 0.992084 | − | 0.125573i | \(-0.0400769\pi\) |
−0.921957 | + | 0.387293i | \(0.873410\pi\) | |||||||
\(354\) | −754.796 | − | 126.597i | −2.13219 | − | 0.357620i | ||||
\(355\) | −56.8341 | − | 161.841i | −0.160096 | − | 0.455891i | ||||
\(356\) | −531.645 | −1.49339 | ||||||||
\(357\) | −138.932 | − | 75.5434i | −0.389166 | − | 0.211606i | ||||
\(358\) | −645.205 | + | 645.205i | −1.80225 | + | 1.80225i | ||||
\(359\) | 150.929 | + | 261.416i | 0.420414 | + | 0.728178i | 0.995980 | − | 0.0895772i | \(-0.0285516\pi\) |
−0.575566 | + | 0.817755i | \(0.695218\pi\) | |||||||
\(360\) | 368.974 | − | 372.954i | 1.02493 | − | 1.03598i | ||||
\(361\) | 101.502 | − | 175.807i | 0.281170 | − | 0.487001i | ||||
\(362\) | −31.7061 | + | 118.329i | −0.0875859 | + | 0.326875i | ||||
\(363\) | 322.719 | + | 147.216i | 0.889033 | + | 0.405554i | ||||
\(364\) | 1045.85 | − | 509.787i | 2.87320 | − | 1.40051i | ||||
\(365\) | −202.391 | + | 138.320i | −0.554496 | + | 0.378958i | ||||
\(366\) | −331.615 | + | 401.977i | −0.906052 | + | 1.09830i | ||||
\(367\) | 14.4772 | + | 54.0296i | 0.0394474 | + | 0.147220i | 0.982841 | − | 0.184457i | \(-0.0590525\pi\) |
−0.943393 | + | 0.331676i | \(0.892386\pi\) | |||||||
\(368\) | 185.922 | − | 49.8177i | 0.505223 | − | 0.135374i | ||||
\(369\) | −168.431 | + | 487.985i | −0.456454 | + | 1.32245i | ||||
\(370\) | 53.0941 | − | 282.338i | 0.143497 | − | 0.763076i | ||||
\(371\) | −59.5019 | − | 122.070i | −0.160383 | − | 0.329030i | ||||
\(372\) | −347.399 | − | 158.475i | −0.933869 | − | 0.426007i | ||||
\(373\) | 359.936 | + | 96.4446i | 0.964976 | + | 0.258565i | 0.706705 | − | 0.707508i | \(-0.250181\pi\) |
0.258271 | + | 0.966073i | \(0.416847\pi\) | |||||||
\(374\) | −36.6749 | − | 21.1742i | −0.0980611 | − | 0.0566156i | ||||
\(375\) | −23.0777 | − | 374.289i | −0.0615405 | − | 0.998105i | ||||
\(376\) | −904.702 | + | 522.330i | −2.40612 | + | 1.38918i | ||||
\(377\) | −291.765 | − | 291.765i | −0.773912 | − | 0.773912i | ||||
\(378\) | 624.452 | − | 137.554i | 1.65199 | − | 0.363901i | ||||
\(379\) | − | 139.171i | − | 0.367207i | −0.983000 | − | 0.183603i | \(-0.941224\pi\) | ||
0.983000 | − | 0.183603i | \(-0.0587762\pi\) | |||||||
\(380\) | 155.054 | + | 441.532i | 0.408036 | + | 1.16193i | ||||
\(381\) | 73.4766 | + | 12.3238i | 0.192852 | + | 0.0323459i | ||||
\(382\) | −318.739 | + | 85.4060i | −0.834396 | + | 0.223576i | ||||
\(383\) | 338.152 | + | 90.6076i | 0.882904 | + | 0.236573i | 0.671660 | − | 0.740860i | \(-0.265582\pi\) |
0.211244 | + | 0.977433i | \(0.432248\pi\) | |||||||
\(384\) | −246.261 | − | 659.400i | −0.641305 | − | 1.71719i | ||||
\(385\) | −0.341456 | − | 58.1759i | −0.000886899 | − | 0.151106i | ||||
\(386\) | − | 91.4572i | − | 0.236936i | ||||||
\(387\) | −53.8213 | − | 110.558i | −0.139073 | − | 0.285680i | ||||
\(388\) | −748.122 | + | 200.459i | −1.92815 | + | 0.516646i | ||||
\(389\) | 256.333 | − | 443.982i | 0.658955 | − | 1.14134i | −0.321932 | − | 0.946763i | \(-0.604332\pi\) |
0.980887 | − | 0.194580i | \(-0.0623344\pi\) | |||||||
\(390\) | 1128.19 | + | 102.106i | 2.89280 | + | 0.261811i | ||||
\(391\) | − | 150.070i | − | 0.383811i | ||||||
\(392\) | 525.745 | + | 223.459i | 1.34119 | + | 0.570048i | ||||
\(393\) | −22.5974 | − | 10.3084i | −0.0574998 | − | 0.0262299i | ||||
\(394\) | −170.628 | + | 98.5119i | −0.433065 | + | 0.250030i | ||||
\(395\) | −413.436 | + | 481.510i | −1.04667 | + | 1.21901i | ||||
\(396\) | 109.359 | − | 21.1732i | 0.276160 | − | 0.0534676i | ||||
\(397\) | 374.644 | + | 100.386i | 0.943688 | + | 0.252860i | 0.697682 | − | 0.716408i | \(-0.254215\pi\) |
0.246006 | + | 0.969268i | \(0.420882\pi\) | |||||||
\(398\) | −584.575 | + | 584.575i | −1.46878 | + | 1.46878i | ||||
\(399\) | −61.7765 | + | 256.631i | −0.154828 | + | 0.643186i | ||||
\(400\) | 224.974 | + | 87.7154i | 0.562436 | + | 0.219288i | ||||
\(401\) | −112.937 | + | 65.2044i | −0.281639 | + | 0.162604i | −0.634165 | − | 0.773198i | \(-0.718656\pi\) |
0.352526 | + | 0.935802i | \(0.385323\pi\) | |||||||
\(402\) | −659.066 | + | 469.739i | −1.63947 | + | 1.16850i | ||||
\(403\) | −98.7574 | − | 368.567i | −0.245055 | − | 0.914559i | ||||
\(404\) | 36.0784 | − | 20.8299i | 0.0893030 | − | 0.0515591i | ||||
\(405\) | 383.540 | + | 130.084i | 0.947013 | + | 0.321194i | ||||
\(406\) | 30.6398 | − | 436.686i | 0.0754674 | − | 1.07558i | ||||
\(407\) | 19.9612 | − | 19.9612i | 0.0490447 | − | 0.0490447i | ||||
\(408\) | 262.181 | − | 25.1471i | 0.642601 | − | 0.0616350i | ||||
\(409\) | 46.9211 | − | 81.2697i | 0.114722 | − | 0.198703i | −0.802947 | − | 0.596051i | \(-0.796736\pi\) |
0.917668 | + | 0.397347i | \(0.130069\pi\) | |||||||
\(410\) | −967.494 | + | 73.5925i | −2.35974 | + | 0.179494i | ||||
\(411\) | 201.814 | + | 166.488i | 0.491032 | + | 0.405081i | ||||
\(412\) | −115.245 | + | 115.245i | −0.279720 | + | 0.279720i | ||||
\(413\) | 171.967 | − | 499.044i | 0.416384 | − | 1.20834i | ||||
\(414\) | 397.747 | + | 458.241i | 0.960741 | + | 1.10686i | ||||
\(415\) | −135.720 | + | 282.634i | −0.327037 | + | 0.681047i | ||||
\(416\) | 155.767 | − | 269.797i | 0.374441 | − | 0.648550i | ||||
\(417\) | −55.3621 | + | 39.4585i | −0.132763 | + | 0.0946246i | ||||
\(418\) | −18.2948 | + | 68.2771i | −0.0437674 | + | 0.163342i | ||||
\(419\) | 364.206i | 0.869227i | 0.900617 | + | 0.434614i | \(0.143115\pi\) | ||||
−0.900617 | + | 0.434614i | \(0.856885\pi\) | |||||||
\(420\) | 457.503 | + | 633.993i | 1.08929 | + | 1.50951i | ||||
\(421\) | −418.192 | −0.993329 | −0.496665 | − | 0.867943i | \(-0.665442\pi\) | ||||
−0.496665 | + | 0.867943i | \(0.665442\pi\) | |||||||
\(422\) | 938.995 | + | 251.603i | 2.22511 | + | 0.596215i | ||||
\(423\) | −668.242 | − | 451.456i | −1.57977 | − | 1.06727i | ||||
\(424\) | 195.872 | + | 113.087i | 0.461962 | + | 0.266714i | ||||
\(425\) | 111.456 | − | 151.727i | 0.262250 | − | 0.357005i | ||||
\(426\) | 121.819 | + | 326.187i | 0.285959 | + | 0.765698i | ||||
\(427\) | −235.724 | − | 271.299i | −0.552046 | − | 0.635360i | ||||
\(428\) | −291.529 | − | 291.529i | −0.681143 | − | 0.681143i | ||||
\(429\) | 85.8646 | + | 70.8348i | 0.200151 | + | 0.165116i | ||||
\(430\) | 150.557 | − | 175.347i | 0.350133 | − | 0.407784i | ||||
\(431\) | 542.073 | + | 312.966i | 1.25771 | + | 0.726140i | 0.972629 | − | 0.232363i | \(-0.0746459\pi\) |
0.285082 | + | 0.958503i | \(0.407979\pi\) | |||||||
\(432\) | −179.724 | + | 188.968i | −0.416028 | + | 0.437427i | ||||
\(433\) | −152.565 | − | 152.565i | −0.352345 | − | 0.352345i | 0.508636 | − | 0.860982i | \(-0.330150\pi\) |
−0.860982 | + | 0.508636i | \(0.830150\pi\) | |||||||
\(434\) | 226.451 | − | 335.556i | 0.521777 | − | 0.773171i | ||||
\(435\) | 159.714 | − | 226.649i | 0.367159 | − | 0.521032i | ||||
\(436\) | −95.2748 | − | 165.021i | −0.218520 | − | 0.378488i | ||||
\(437\) | −241.953 | + | 64.8311i | −0.553668 | + | 0.148355i | ||||
\(438\) | 405.225 | − | 288.817i | 0.925170 | − | 0.659400i | ||||
\(439\) | 134.139 | + | 232.335i | 0.305556 | + | 0.529238i | 0.977385 | − | 0.211468i | \(-0.0678245\pi\) |
−0.671829 | + | 0.740706i | \(0.734491\pi\) | |||||||
\(440\) | 54.6713 | + | 79.9957i | 0.124253 | + | 0.181808i | ||||
\(441\) | 22.5454 | + | 440.423i | 0.0511234 | + | 0.998692i | ||||
\(442\) | 402.140 | + | 402.140i | 0.909820 | + | 0.909820i | ||||
\(443\) | −191.033 | + | 712.944i | −0.431225 | + | 1.60935i | 0.318716 | + | 0.947850i | \(0.396748\pi\) |
−0.749941 | + | 0.661505i | \(0.769918\pi\) | |||||||
\(444\) | −62.7528 | + | 374.144i | −0.141335 | + | 0.842666i | ||||
\(445\) | 232.565 | − | 270.857i | 0.522617 | − | 0.608668i | ||||
\(446\) | 119.303 | + | 206.639i | 0.267496 | + | 0.463317i | ||||
\(447\) | 490.920 | + | 223.945i | 1.09826 | + | 0.500996i | ||||
\(448\) | 589.948 | − | 114.530i | 1.31685 | − | 0.255646i | ||||
\(449\) | −514.565 | −1.14602 | −0.573012 | − | 0.819547i | \(-0.694225\pi\) | ||||
−0.573012 | + | 0.819547i | \(0.694225\pi\) | |||||||
\(450\) | 61.8059 | + | 758.705i | 0.137347 | + | 1.68601i | ||||
\(451\) | −82.5691 | − | 47.6713i | −0.183080 | − | 0.105701i | ||||
\(452\) | −140.134 | − | 522.988i | −0.310032 | − | 1.15705i | ||||
\(453\) | −5.27453 | − | 54.9918i | −0.0116436 | − | 0.121395i | ||||
\(454\) | 1383.92 | 3.04828 | ||||||||
\(455\) | −197.777 | + | 755.830i | −0.434674 | + | 1.66116i | ||||
\(456\) | −153.808 | − | 411.843i | −0.337297 | − | 0.903164i | ||||
\(457\) | −211.591 | + | 789.669i | −0.463000 | + | 1.72794i | 0.200435 | + | 0.979707i | \(0.435765\pi\) |
−0.663435 | + | 0.748234i | \(0.730902\pi\) | |||||||
\(458\) | 118.315 | + | 441.558i | 0.258330 | + | 0.964100i | ||||
\(459\) | 106.045 | + | 173.482i | 0.231034 | + | 0.377956i | ||||
\(460\) | −321.159 | + | 668.808i | −0.698172 | + | 1.45393i | ||||
\(461\) | 319.028 | 0.692034 | 0.346017 | − | 0.938228i | \(-0.387534\pi\) | ||||
0.346017 | + | 0.938228i | \(0.387534\pi\) | |||||||
\(462\) | 3.01967 | + | 118.056i | 0.00653609 | + | 0.255531i | ||||
\(463\) | −294.248 | + | 294.248i | −0.635525 | + | 0.635525i | −0.949448 | − | 0.313923i | \(-0.898356\pi\) |
0.313923 | + | 0.949448i | \(0.398356\pi\) | |||||||
\(464\) | 89.2694 | + | 154.619i | 0.192391 | + | 0.333231i | ||||
\(465\) | 232.705 | − | 107.666i | 0.500442 | − | 0.231540i | ||||
\(466\) | 479.535 | − | 830.579i | 1.02905 | − | 1.78236i | ||||
\(467\) | −71.4038 | + | 266.483i | −0.152899 | + | 0.570626i | 0.846377 | + | 0.532584i | \(0.178779\pi\) |
−0.999276 | + | 0.0380426i | \(0.987888\pi\) | |||||||
\(468\) | −1492.18 | − | 105.455i | −3.18841 | − | 0.225331i | ||||
\(469\) | −244.574 | − | 501.751i | −0.521479 | − | 1.06983i | ||||
\(470\) | 280.131 | − | 1489.65i | 0.596024 | − | 3.16947i | ||||
\(471\) | 180.232 | + | 148.684i | 0.382658 | + | 0.315677i | ||||
\(472\) | 227.532 | + | 849.161i | 0.482060 | + | 1.79907i | ||||
\(473\) | 21.9360 | − | 5.87773i | 0.0463763 | − | 0.0124265i | ||||
\(474\) | 819.820 | − | 993.770i | 1.72958 | − | 2.09656i | ||||
\(475\) | −292.774 | − | 114.150i | −0.616367 | − | 0.240316i | ||||
\(476\) | −27.4726 | + | 391.546i | −0.0577155 | + | 0.822576i | ||||
\(477\) | −12.3086 | + | 174.165i | −0.0258042 | + | 0.365127i | ||||
\(478\) | −376.477 | − | 100.877i | −0.787609 | − | 0.211039i | ||||
\(479\) | 120.740 | + | 69.7091i | 0.252066 | + | 0.145530i | 0.620710 | − | 0.784040i | \(-0.286844\pi\) |
−0.368644 | + | 0.929571i | \(0.620178\pi\) | |||||||
\(480\) | 196.504 | + | 72.1880i | 0.409383 | + | 0.150392i | ||||
\(481\) | −328.312 | + | 189.551i | −0.682562 | + | 0.394077i | ||||
\(482\) | −929.068 | − | 929.068i | −1.92753 | − | 1.92753i | ||||
\(483\) | −356.954 | + | 218.444i | −0.739035 | + | 0.452264i | ||||
\(484\) | − | 880.392i | − | 1.81899i | ||||||
\(485\) | 225.133 | − | 468.835i | 0.464191 | − | 0.966669i | ||||
\(486\) | −783.606 | − | 248.668i | −1.61236 | − | 0.511663i | ||||
\(487\) | −479.886 | + | 128.585i | −0.985392 | + | 0.264035i | −0.715314 | − | 0.698803i | \(-0.753716\pi\) |
−0.270078 | + | 0.962838i | \(0.587050\pi\) | |||||||
\(488\) | 578.182 | + | 154.923i | 1.18480 | + | 0.317466i | ||||
\(489\) | 261.086 | − | 97.5059i | 0.533919 | − | 0.199399i | ||||
\(490\) | −742.936 | + | 367.549i | −1.51620 | + | 0.750099i | ||||
\(491\) | 388.699i | 0.791648i | 0.918326 | + | 0.395824i | \(0.129541\pi\) | ||||
−0.918326 | + | 0.395824i | \(0.870459\pi\) | |||||||
\(492\) | 1275.44 | − | 122.334i | 2.59236 | − | 0.248645i | ||||
\(493\) | 134.457 | − | 36.0276i | 0.272732 | − | 0.0730784i | ||||
\(494\) | 474.631 | − | 822.085i | 0.960791 | − | 1.66414i | ||||
\(495\) | −37.0514 | + | 64.9774i | −0.0748513 | + | 0.131267i | ||||
\(496\) | 165.104i | 0.332871i | ||||||||
\(497\) | −235.741 | + | 45.7657i | −0.474329 | + | 0.0920838i | ||||
\(498\) | 264.143 | − | 579.041i | 0.530408 | − | 1.16273i | ||||
\(499\) | 300.015 | − | 173.214i | 0.601232 | − | 0.347122i | −0.168294 | − | 0.985737i | \(-0.553826\pi\) |
0.769526 | + | 0.638615i | \(0.220492\pi\) | |||||||
\(500\) | −821.424 | + | 437.669i | −1.64285 | + | 0.875339i | ||||
\(501\) | −808.254 | − | 135.563i | −1.61328 | − | 0.270586i | ||||
\(502\) | −616.845 | − | 165.283i | −1.22877 | − | 0.329249i | ||||
\(503\) | −235.473 | + | 235.473i | −0.468137 | + | 0.468137i | −0.901311 | − | 0.433173i | \(-0.857394\pi\) |
0.433173 | + | 0.901311i | \(0.357394\pi\) | |||||||
\(504\) | −441.448 | − | 587.015i | −0.875889 | − | 1.16471i | ||||
\(505\) | −5.17005 | + | 27.4927i | −0.0102377 | + | 0.0544411i | ||||
\(506\) | −97.0521 | + | 56.0331i | −0.191803 | + | 0.110737i | ||||
\(507\) | −573.346 | − | 804.432i | −1.13086 | − | 1.58665i | ||||
\(508\) | −47.8598 | − | 178.615i | −0.0942122 | − | 0.351605i | ||||
\(509\) | 355.522 | − | 205.261i | 0.698472 | − | 0.403263i | −0.108306 | − | 0.994118i | \(-0.534543\pi\) |
0.806778 | + | 0.590854i | \(0.201209\pi\) | |||||||
\(510\) | −220.134 | + | 312.391i | −0.431636 | + | 0.612531i | ||||
\(511\) | 150.375 | + | 308.500i | 0.294277 | + | 0.603719i | ||||
\(512\) | −413.817 | + | 413.817i | −0.808235 | + | 0.808235i | ||||
\(513\) | 233.887 | − | 245.917i | 0.455921 | − | 0.479371i | ||||
\(514\) | −477.502 | + | 827.059i | −0.928993 | + | 1.60906i | ||||
\(515\) | −8.30072 | − | 109.127i | −0.0161179 | − | 0.211896i | ||||
\(516\) | −194.214 | + | 235.422i | −0.376383 | + | 0.456245i | ||||
\(517\) | 105.318 | − | 105.318i | 0.203710 | − | 0.203710i | ||||
\(518\) | −380.258 | − | 131.034i | −0.734089 | − | 0.252961i | ||||
\(519\) | 144.494 | − | 53.9629i | 0.278408 | − | 0.103975i | ||||
\(520\) | −431.137 | − | 1227.71i | −0.829109 | − | 2.36098i | ||||
\(521\) | 60.6142 | − | 104.987i | 0.116342 | − | 0.201510i | −0.801973 | − | 0.597360i | \(-0.796216\pi\) |
0.918315 | + | 0.395849i | \(0.129550\pi\) | |||||||
\(522\) | −315.078 | + | 466.377i | −0.603598 | + | 0.893442i | ||||
\(523\) | 95.7306 | − | 357.271i | 0.183041 | − | 0.683119i | −0.812000 | − | 0.583657i | \(-0.801621\pi\) |
0.995041 | − | 0.0994621i | \(-0.0317122\pi\) | |||||||
\(524\) | 61.6468i | 0.117647i | ||||||||
\(525\) | −523.132 | − | 44.2516i | −0.996441 | − | 0.0842888i | ||||
\(526\) | 1079.51 | 2.05230 | ||||||||
\(527\) | 124.339 | + | 33.3166i | 0.235938 | + | 0.0632194i | ||||
\(528\) | −27.9546 | − | 39.2217i | −0.0529444 | − | 0.0742835i | ||||
\(529\) | 114.204 | + | 65.9359i | 0.215887 | + | 0.124642i | ||||
\(530\) | −309.632 | + | 108.734i | −0.584212 | + | 0.205159i | ||||
\(531\) | −512.517 | + | 444.857i | −0.965192 | + | 0.837773i | ||||
\(532\) | 643.145 | − | 124.857i | 1.20892 | − | 0.234694i | ||||
\(533\) | 905.372 | + | 905.372i | 1.69863 | + | 1.69863i | ||||
\(534\) | −461.162 | + | 559.012i | −0.863599 | + | 1.04684i | ||||
\(535\) | 276.053 | − | 20.9979i | 0.515986 | − | 0.0392485i | ||||
\(536\) | 805.102 | + | 464.826i | 1.50206 | + | 0.867213i | ||||
\(537\) | 77.2511 | + | 805.413i | 0.143857 | + | 1.49984i | ||||
\(538\) | 261.689 | + | 261.689i | 0.486410 | + | 0.486410i | ||||
\(539\) | −80.6496 | − | 11.3734i | −0.149628 | − | 0.0211010i | ||||
\(540\) | −101.340 | − | 1000.09i | −0.187667 | − | 1.85201i | ||||
\(541\) | 338.443 | + | 586.200i | 0.625588 | + | 1.08355i | 0.988427 | + | 0.151698i | \(0.0484741\pi\) |
−0.362839 | + | 0.931852i | \(0.618193\pi\) | |||||||
\(542\) | 788.069 | − | 211.162i | 1.45400 | − | 0.389598i | ||||
\(543\) | 63.0477 | + | 88.4590i | 0.116110 | + | 0.162908i | ||||
\(544\) | 52.5494 | + | 91.0183i | 0.0965982 | + | 0.167313i | ||||
\(545\) | 125.750 | + | 23.6475i | 0.230735 | + | 0.0433900i | ||||
\(546\) | 371.163 | − | 1541.88i | 0.679787 | − | 2.82396i | ||||
\(547\) | 348.142 | + | 348.142i | 0.636457 | + | 0.636457i | 0.949680 | − | 0.313223i | \(-0.101409\pi\) |
−0.313223 | + | 0.949680i | \(0.601409\pi\) | |||||||
\(548\) | 168.064 | − | 627.225i | 0.306687 | − | 1.14457i | ||||
\(549\) | 87.8338 | + | 453.662i | 0.159989 | + | 0.826342i | ||||
\(550\) | −139.739 | − | 15.4282i | −0.254071 | − | 0.0280513i | ||||
\(551\) | −116.172 | − | 201.216i | −0.210839 | − | 0.365184i | ||||
\(552\) | 289.272 | − | 634.127i | 0.524044 | − | 1.14878i | ||||
\(553\) | 582.757 | + | 670.706i | 1.05381 | + | 1.21285i | ||||
\(554\) | −1221.43 | −2.20474 | ||||||||
\(555\) | −163.164 | − | 195.637i | −0.293989 | − | 0.352499i | ||||
\(556\) | 146.131 | + | 84.3690i | 0.262826 | + | 0.151743i | ||||
\(557\) | 32.5911 | + | 121.632i | 0.0585118 | + | 0.218369i | 0.988991 | − | 0.147976i | \(-0.0472757\pi\) |
−0.930479 | + | 0.366345i | \(0.880609\pi\) | |||||||
\(558\) | −467.974 | + | 227.817i | −0.838664 | + | 0.408274i | ||||
\(559\) | −304.978 | −0.545577 | ||||||||
\(560\) | 167.307 | − | 293.753i | 0.298763 | − | 0.524559i | ||||
\(561\) | −35.1787 | + | 13.1379i | −0.0627072 | + | 0.0234188i | ||||
\(562\) | 192.630 | − | 718.906i | 0.342759 | − | 1.27919i | ||||
\(563\) | −125.418 | − | 468.066i | −0.222767 | − | 0.831379i | −0.983287 | − | 0.182064i | \(-0.941722\pi\) |
0.760519 | − | 0.649315i | \(-0.224944\pi\) | |||||||
\(564\) | −331.092 | + | 1974.03i | −0.587042 | + | 3.50005i | ||||
\(565\) | 327.748 | + | 157.383i | 0.580084 | + | 0.278555i | ||||
\(566\) | 122.657 | 0.216708 | ||||||||
\(567\) | 258.281 | − | 504.757i | 0.455522 | − | 0.890225i | ||||
\(568\) | 282.811 | − | 282.811i | 0.497907 | − | 0.497907i | ||||
\(569\) | −542.210 | − | 939.135i | −0.952917 | − | 1.65050i | −0.739064 | − | 0.673635i | \(-0.764732\pi\) |
−0.213853 | − | 0.976866i | \(-0.568601\pi\) | |||||||
\(570\) | 598.757 | + | 219.961i | 1.05045 | + | 0.385896i | ||||
\(571\) | −294.791 | + | 510.592i | −0.516271 | + | 0.894207i | 0.483551 | + | 0.875316i | \(0.339347\pi\) |
−0.999822 | + | 0.0188908i | \(0.993987\pi\) | |||||||
\(572\) | 71.5053 | − | 266.861i | 0.125009 | − | 0.466541i | ||||
\(573\) | −121.441 | + | 266.217i | −0.211940 | + | 0.464602i | ||||
\(574\) | −95.0778 | + | 1355.07i | −0.165641 | + | 2.36076i | ||||
\(575\) | −200.248 | − | 456.186i | −0.348258 | − | 0.793367i | ||||
\(576\) | −730.383 | − | 252.097i | −1.26803 | − | 0.437669i | ||||
\(577\) | −110.036 | − | 410.660i | −0.190704 | − | 0.711715i | −0.993337 | − | 0.115243i | \(-0.963235\pi\) |
0.802634 | − | 0.596472i | \(-0.203431\pi\) | |||||||
\(578\) | 759.104 | − | 203.401i | 1.31333 | − | 0.351905i | ||||
\(579\) | −62.5584 | − | 51.6082i | −0.108046 | − | 0.0891333i | ||||
\(580\) | −676.327 | − | 127.184i | −1.16608 | − | 0.219283i | ||||
\(581\) | 363.844 | + | 245.541i | 0.626237 | + | 0.422617i | ||||
\(582\) | −438.161 | + | 960.514i | −0.752855 | + | 1.65037i | ||||
\(583\) | −31.1478 | − | 8.34603i | −0.0534268 | − | 0.0143157i | ||||
\(584\) | −495.015 | − | 285.797i | −0.847628 | − | 0.489378i | ||||
\(585\) | 706.468 | − | 714.088i | 1.20764 | − | 1.22066i | ||||
\(586\) | 844.190 | − | 487.393i | 1.44060 | − | 0.831729i | ||||
\(587\) | 63.3617 | + | 63.3617i | 0.107942 | + | 0.107942i | 0.759015 | − | 0.651073i | \(-0.225681\pi\) |
−0.651073 | + | 0.759015i | \(0.725681\pi\) | |||||||
\(588\) | 971.313 | − | 504.593i | 1.65189 | − | 0.858151i | ||||
\(589\) | − | 214.861i | − | 0.364790i | ||||||
\(590\) | −1149.86 | − | 552.161i | −1.94892 | − | 0.935866i | ||||
\(591\) | −28.8991 | + | 172.301i | −0.0488986 | + | 0.291542i | ||||
\(592\) | 158.447 | − | 42.4558i | 0.267647 | − | 0.0717159i | ||||
\(593\) | −384.155 | − | 102.934i | −0.647816 | − | 0.173582i | −0.0800745 | − | 0.996789i | \(-0.525516\pi\) |
−0.567741 | + | 0.823207i | \(0.692182\pi\) | |||||||
\(594\) | 72.5979 | − | 133.355i | 0.122219 | − | 0.224503i | ||||
\(595\) | −187.463 | − | 185.275i | −0.315064 | − | 0.311387i | ||||
\(596\) | − | 1339.25i | − | 2.24707i | ||||||
\(597\) | 69.9918 | + | 729.729i | 0.117239 | + | 1.22233i | ||||
\(598\) | 1453.69 | − | 389.516i | 2.43093 | − | 0.651365i | ||||
\(599\) | −415.948 | + | 720.443i | −0.694404 | + | 1.20274i | 0.275977 | + | 0.961164i | \(0.410998\pi\) |
−0.970381 | + | 0.241579i | \(0.922335\pi\) | |||||||
\(600\) | 763.428 | − | 426.288i | 1.27238 | − | 0.710481i | ||||
\(601\) | − | 609.543i | − | 1.01421i | −0.861883 | − | 0.507107i | \(-0.830715\pi\) | ||
0.861883 | − | 0.507107i | \(-0.169285\pi\) | |||||||
\(602\) | −212.217 | − | 244.244i | −0.352520 | − | 0.405721i | ||||
\(603\) | −50.5928 | + | 715.881i | −0.0839018 | + | 1.18720i | ||||
\(604\) | −118.746 | + | 68.5579i | −0.196599 | + | 0.113507i | ||||
\(605\) | 448.533 | + | 385.121i | 0.741377 | + | 0.636564i | ||||
\(606\) | 9.39318 | − | 56.0039i | 0.0155003 | − | 0.0924156i | ||||
\(607\) | 649.447 | + | 174.019i | 1.06993 | + | 0.286687i | 0.750464 | − | 0.660912i | \(-0.229830\pi\) |
0.319465 | + | 0.947598i | \(0.396497\pi\) | |||||||
\(608\) | 124.044 | − | 124.044i | 0.204020 | − | 0.204020i | ||||
\(609\) | −281.412 | − | 267.374i | −0.462088 | − | 0.439038i | ||||
\(610\) | −717.052 | + | 490.054i | −1.17550 | + | 0.803368i | ||||
\(611\) | −1732.22 | + | 1000.10i | −2.83505 | + | 1.63682i | ||||
\(612\) | 282.509 | − | 418.168i | 0.461616 | − | 0.683280i | ||||
\(613\) | 170.566 | + | 636.559i | 0.278247 | + | 1.03843i | 0.953634 | + | 0.300969i | \(0.0973100\pi\) |
−0.675387 | + | 0.737464i | \(0.736023\pi\) | |||||||
\(614\) | −1146.41 | + | 661.880i | −1.86712 | + | 1.07798i | ||||
\(615\) | −495.606 | + | 703.312i | −0.805864 | + | 1.14360i | ||||
\(616\) | 121.936 | − | 59.4363i | 0.197948 | − | 0.0964876i | ||||
\(617\) | 635.127 | − | 635.127i | 1.02938 | − | 1.02938i | 0.0298247 | − | 0.999555i | \(-0.490505\pi\) |
0.999555 | − | 0.0298247i | \(-0.00949490\pi\) | |||||||
\(618\) | 21.2109 | + | 221.143i | 0.0343218 | + | 0.357836i | ||||
\(619\) | 177.306 | − | 307.104i | 0.286440 | − | 0.496129i | −0.686517 | − | 0.727113i | \(-0.740861\pi\) |
0.972957 | + | 0.230985i | \(0.0741948\pi\) | |||||||
\(620\) | −482.835 | − | 414.574i | −0.778766 | − | 0.668667i | ||||
\(621\) | 537.889 | − | 13.4864i | 0.866166 | − | 0.0217173i | ||||
\(622\) | −1028.31 | + | 1028.31i | −1.65322 | + | 1.65322i | ||||
\(623\) | −327.810 | − | 377.283i | −0.526180 | − | 0.605590i | ||||
\(624\) | 226.295 | + | 605.938i | 0.362652 | + | 0.971055i | ||||
\(625\) | 136.347 | − | 609.946i | 0.218155 | − | 0.975914i | ||||
\(626\) | −424.058 | + | 734.490i | −0.677409 | + | 1.17331i | ||||
\(627\) | 36.3793 | + | 51.0419i | 0.0580212 | + | 0.0814065i | ||||
\(628\) | 150.091 | − | 560.148i | 0.238999 | − | 0.891956i | ||||
\(629\) | − | 127.893i | − | 0.203328i | ||||||
\(630\) | 1063.48 | + | 68.8875i | 1.68806 | + | 0.109345i | ||||
\(631\) | −460.637 | −0.730012 | −0.365006 | − | 0.931005i | \(-0.618933\pi\) | ||||
−0.365006 | + | 0.931005i | \(0.618933\pi\) | |||||||
\(632\) | −1429.38 | − | 383.002i | −2.26168 | − | 0.606016i | ||||
\(633\) | 701.964 | − | 500.314i | 1.10895 | − | 0.790385i | ||||
\(634\) | 441.323 | + | 254.798i | 0.696093 | + | 0.401890i | ||||
\(635\) | 111.935 | + | 53.7508i | 0.176276 | + | 0.0846470i | ||||
\(636\) | 405.969 | − | 151.614i | 0.638316 | − | 0.238387i | ||||
\(637\) | 1006.64 | + | 427.853i | 1.58028 | + | 0.671669i | ||||
\(638\) | −73.5029 | − | 73.5029i | −0.115208 | − | 0.115208i | ||||
\(639\) | 291.859 | + | 100.737i | 0.456743 | + | 0.157648i | ||||
\(640\) | −88.9779 | − | 1169.76i | −0.139028 | − | 1.82775i | ||||
\(641\) | −421.541 | − | 243.377i | −0.657630 | − | 0.379683i | 0.133744 | − | 0.991016i | \(-0.457300\pi\) |
−0.791373 | + | 0.611333i | \(0.790633\pi\) | |||||||
\(642\) | −559.415 | + | 53.6562i | −0.871363 | + | 0.0835766i | ||||
\(643\) | −530.055 | − | 530.055i | −0.824346 | − | 0.824346i | 0.162382 | − | 0.986728i | \(-0.448082\pi\) |
−0.986728 | + | 0.162382i | \(0.948082\pi\) | |||||||
\(644\) | 860.975 | + | 581.031i | 1.33692 | + | 0.902222i | ||||
\(645\) | −34.9831 | − | 201.930i | −0.0542374 | − | 0.313070i | ||||
\(646\) | 160.121 | + | 277.337i | 0.247865 | + | 0.429315i | ||||
\(647\) | 850.161 | − | 227.800i | 1.31401 | − | 0.352087i | 0.467276 | − | 0.884111i | \(-0.345235\pi\) |
0.846729 | + | 0.532025i | \(0.178569\pi\) | |||||||
\(648\) | 113.695 | + | 937.464i | 0.175455 | + | 1.44670i | ||||
\(649\) | −62.6698 | − | 108.547i | −0.0965637 | − | 0.167253i | ||||
\(650\) | 1759.04 | + | 685.832i | 2.70621 | + | 1.05513i | ||||
\(651\) | −101.743 | − | 344.247i | −0.156288 | − | 0.528797i | ||||
\(652\) | −489.128 | − | 489.128i | −0.750196 | − | 0.750196i | ||||
\(653\) | 268.032 | − | 1000.31i | 0.410462 | − | 1.53187i | −0.383293 | − | 0.923627i | \(-0.625210\pi\) |
0.793755 | − | 0.608238i | \(-0.208123\pi\) | |||||||
\(654\) | −256.159 | − | 42.9639i | −0.391680 | − | 0.0656941i | ||||
\(655\) | −31.4072 | − | 26.9670i | −0.0479499 | − | 0.0411709i | ||||
\(656\) | −277.011 | − | 479.797i | −0.422272 | − | 0.731397i | ||||
\(657\) | 31.1068 | − | 440.157i | 0.0473467 | − | 0.669950i | ||||
\(658\) | −2006.29 | − | 691.352i | −3.04907 | − | 1.05069i | ||||
\(659\) | −586.589 | −0.890120 | −0.445060 | − | 0.895501i | \(-0.646818\pi\) | ||||
−0.445060 | + | 0.895501i | \(0.646818\pi\) | |||||||
\(660\) | 184.895 | + | 16.7337i | 0.280144 | + | 0.0253541i | ||||
\(661\) | −934.505 | − | 539.537i | −1.41378 | − | 0.816243i | −0.418033 | − | 0.908432i | \(-0.637281\pi\) |
−0.995742 | + | 0.0921882i | \(0.970614\pi\) | |||||||
\(662\) | −140.401 | − | 523.982i | −0.212085 | − | 0.791514i | ||||
\(663\) | 501.994 | − | 48.1487i | 0.757156 | − | 0.0726225i | ||||
\(664\) | −731.058 | −1.10099 | ||||||||
\(665\) | −217.728 | + | 382.281i | −0.327411 | + | 0.574858i | ||||
\(666\) | 338.969 | + | 390.524i | 0.508963 | + | 0.586373i | ||||
\(667\) | 95.3394 | − | 355.811i | 0.142938 | − | 0.533450i | ||||
\(668\) | 526.465 | + | 1964.79i | 0.788121 | + | 2.94131i | ||||
\(669\) | 208.667 | + | 34.9984i | 0.311908 | + | 0.0523144i | ||||
\(670\) | −1272.70 | + | 446.935i | −1.89955 | + | 0.667067i | ||||
\(671\) | −85.3420 | −0.127186 | ||||||||
\(672\) | 140.003 | − | 257.480i | 0.208337 | − | 0.383155i | ||||
\(673\) | −62.0620 | + | 62.0620i | −0.0922170 | + | 0.0922170i | −0.751710 | − | 0.659493i | \(-0.770771\pi\) |
0.659493 | + | 0.751710i | \(0.270771\pi\) | |||||||
\(674\) | 1010.36 | + | 1749.99i | 1.49905 | + | 2.59643i | ||||
\(675\) | 553.845 | + | 385.851i | 0.820510 | + | 0.571631i | ||||
\(676\) | −1225.91 | + | 2123.34i | −1.81348 | + | 3.14104i | ||||
\(677\) | 89.1014 | − | 332.531i | 0.131612 | − | 0.491183i | −0.868377 | − | 0.495905i | \(-0.834836\pi\) |
0.999989 | + | 0.00472208i | \(0.00150309\pi\) | |||||||
\(678\) | −671.465 | − | 306.305i | −0.990361 | − | 0.451777i | ||||
\(679\) | −603.544 | − | 407.303i | −0.888872 | − | 0.599858i | ||||
\(680\) | 431.412 | + | 81.1277i | 0.634430 | + | 0.119305i | ||||
\(681\) | 780.928 | − | 946.626i | 1.14674 | − | 1.39005i | ||||
\(682\) | −24.8795 | − | 92.8515i | −0.0364802 | − | 0.136146i | ||||
\(683\) | 306.669 | − | 82.1718i | 0.449004 | − | 0.120310i | −0.0272295 | − | 0.999629i | \(-0.508669\pi\) |
0.476233 | + | 0.879319i | \(0.342002\pi\) | |||||||
\(684\) | −796.243 | − | 274.829i | −1.16410 | − | 0.401797i | ||||
\(685\) | 246.033 | + | 359.999i | 0.359173 | + | 0.525545i | ||||
\(686\) | 357.811 | + | 1103.89i | 0.521591 | + | 1.60917i | ||||
\(687\) | 368.798 | + | 168.236i | 0.536823 | + | 0.244885i | ||||
\(688\) | 127.467 | + | 34.1546i | 0.185271 | + | 0.0496433i | ||||
\(689\) | 375.033 | + | 216.525i | 0.544315 | + | 0.314260i | ||||
\(690\) | 424.653 | + | 917.831i | 0.615439 | + | 1.33019i | ||||
\(691\) | −49.5343 | + | 28.5987i | −0.0716850 | + | 0.0413874i | −0.535414 | − | 0.844590i | \(-0.679844\pi\) |
0.463729 | + | 0.885977i | \(0.346511\pi\) | |||||||
\(692\) | −270.699 | − | 270.699i | −0.391184 | − | 0.391184i | ||||
\(693\) | 82.4561 | + | 64.5517i | 0.118984 | + | 0.0931483i | ||||
\(694\) | − | 1574.74i | − | 2.26908i | ||||||
\(695\) | −106.908 | + | 37.5429i | −0.153824 | + | 0.0540186i | ||||
\(696\) | 637.599 | + | 106.941i | 0.916091 | + | 0.153650i | ||||
\(697\) | −417.232 | + | 111.797i | −0.598611 | + | 0.160397i | ||||
\(698\) | 1187.15 | + | 318.095i | 1.70078 | + | 0.455724i | ||||
\(699\) | −297.536 | − | 796.696i | −0.425659 | − | 1.13977i | ||||
\(700\) | 438.954 | + | 1226.89i | 0.627077 | + | 1.75270i | ||||
\(701\) | − | 409.279i | − | 0.583850i | −0.956441 | − | 0.291925i | \(-0.905704\pi\) | ||
0.956441 | − | 0.291925i | \(-0.0942958\pi\) | |||||||
\(702\) | −1405.23 | + | 1477.51i | −2.00176 | + | 2.10472i | ||||
\(703\) | −206.198 | + | 55.2507i | −0.293312 | + | 0.0785927i | ||||
\(704\) | 71.3513 | − | 123.584i | 0.101351 | − | 0.175546i | ||||
\(705\) | −860.875 | − | 1032.21i | −1.22110 | − | 1.46412i | ||||
\(706\) | − | 323.589i | − | 0.458342i | ||||||
\(707\) | 37.0277 | + | 12.7595i | 0.0523730 | + | 0.0180473i | ||||
\(708\) | 1532.50 | + | 699.085i | 2.16454 | + | 0.987408i | ||||
\(709\) | −224.119 | + | 129.395i | −0.316105 | + | 0.182503i | −0.649655 | − | 0.760229i | \(-0.725087\pi\) |
0.333550 | + | 0.942732i | \(0.391753\pi\) | |||||||
\(710\) | 44.0149 | + | 578.649i | 0.0619929 | + | 0.814998i | ||||
\(711\) | −217.143 | − | 1121.54i | −0.305405 | − | 1.57742i | ||||
\(712\) | 804.051 | + | 215.445i | 1.12929 | + | 0.302591i | ||||
\(713\) | 240.872 | − | 240.872i | 0.337829 | − | 0.337829i | ||||
\(714\) | 387.870 | + | 368.523i | 0.543236 | + | 0.516139i | ||||
\(715\) | 104.678 | + | 153.166i | 0.146403 | + | 0.214219i | ||||
\(716\) | 1739.16 | − | 1004.10i | 2.42899 | − | 1.40238i | ||||
\(717\) | −281.443 | + | 200.594i | −0.392528 | + | 0.279768i | ||||
\(718\) | −264.317 | − | 986.443i | −0.368129 | − | 1.37388i | ||||
\(719\) | 380.467 | − | 219.663i | 0.529162 | − | 0.305512i | −0.211513 | − | 0.977375i | \(-0.567839\pi\) |
0.740675 | + | 0.671863i | \(0.234506\pi\) | |||||||
\(720\) | −375.242 | + | 219.338i | −0.521170 | + | 0.304637i | ||||
\(721\) | −152.843 | − | 10.7241i | −0.211987 | − | 0.0148739i | ||||
\(722\) | −485.644 | + | 485.644i | −0.672637 | + | 0.672637i | ||||
\(723\) | −1159.76 | + | 111.238i | −1.60410 | + | 0.153857i | ||||
\(724\) | 134.807 | − | 233.492i | 0.186197 | − | 0.322503i | ||||
\(725\) | 360.651 | − | 288.932i | 0.497449 | − | 0.398527i | ||||
\(726\) | −925.710 | − | 763.673i | −1.27508 | − | 1.05189i | ||||
\(727\) | 523.903 | − | 523.903i | 0.720636 | − | 0.720636i | −0.248098 | − | 0.968735i | \(-0.579806\pi\) |
0.968735 | + | 0.248098i | \(0.0798056\pi\) | |||||||
\(728\) | −1788.31 | + | 347.173i | −2.45647 | + | 0.476886i | ||||
\(729\) | −612.273 | + | 395.681i | −0.839880 | + | 0.542772i | ||||
\(730\) | 782.513 | − | 274.796i | 1.07194 | − | 0.376434i | ||||
\(731\) | 51.4434 | − | 89.1026i | 0.0703740 | − | 0.121891i | ||||
\(732\) | 933.952 | − | 665.660i | 1.27589 | − | 0.909371i | ||||
\(733\) | −81.0236 | + | 302.384i | −0.110537 | + | 0.412530i | −0.998914 | − | 0.0465842i | \(-0.985166\pi\) |
0.888377 | + | 0.459114i | \(0.151833\pi\) | |||||||
\(734\) | − | 189.241i | − | 0.257821i | ||||||
\(735\) | −167.819 | + | 715.585i | −0.228325 | + | 0.973585i | ||||
\(736\) | 278.121 | 0.377882 | ||||||||
\(737\) | −128.028 | − | 34.3051i | −0.173716 | − | 0.0465470i | ||||
\(738\) | 977.715 | − | 1447.21i | 1.32482 | − | 1.96098i | ||||
\(739\) | 731.717 | + | 422.457i | 0.990145 | + | 0.571661i | 0.905318 | − | 0.424735i | \(-0.139633\pi\) |
0.0848274 | + | 0.996396i | \(0.472966\pi\) | |||||||
\(740\) | −273.700 | + | 569.974i | −0.369864 | + | 0.770235i | ||||
\(741\) | −294.493 | − | 788.548i | −0.397426 | − | 1.06417i | ||||
\(742\) | 87.5581 | + | 451.017i | 0.118003 | + | 0.607839i | ||||
\(743\) | −396.060 | − | 396.060i | −0.533055 | − | 0.533055i | 0.388425 | − | 0.921480i | \(-0.373019\pi\) |
−0.921480 | + | 0.388425i | \(0.873019\pi\) | |||||||
\(744\) | 461.180 | + | 380.455i | 0.619866 | + | 0.511364i | ||||
\(745\) | 682.309 | + | 585.846i | 0.915851 | + | 0.786371i | ||||
\(746\) | −1091.79 | − | 630.345i | −1.46353 | − | 0.844967i | ||||
\(747\) | −247.022 | − | 507.424i | −0.330685 | − | 0.679283i | ||||
\(748\) | 65.9050 | + | 65.9050i | 0.0881083 | + | 0.0881083i | ||||
\(749\) | 27.1283 | − | 386.640i | 0.0362194 | − | 0.516208i | ||||
\(750\) | −252.325 | + | 1243.35i | −0.336433 | + | 1.65780i | ||||
\(751\) | −75.8895 | − | 131.444i | −0.101051 | − | 0.175026i | 0.811067 | − | 0.584954i | \(-0.198887\pi\) |
−0.912118 | + | 0.409928i | \(0.865554\pi\) | |||||||
\(752\) | 835.988 | − | 224.002i | 1.11169 | − | 0.297876i | ||||
\(753\) | −461.134 | + | 328.666i | −0.612396 | + | 0.436476i | ||||
\(754\) | 697.983 | + | 1208.94i | 0.925706 | + | 1.60337i | ||||
\(755\) | 17.0163 | − | 90.4876i | 0.0225382 | − | 0.119851i | ||||
\(756\) | −1405.87 | − | 63.2813i | −1.85961 | − | 0.0837054i | ||||
\(757\) | 191.304 | + | 191.304i | 0.252714 | + | 0.252714i | 0.822082 | − | 0.569369i | \(-0.192812\pi\) |
−0.569369 | + | 0.822082i | \(0.692812\pi\) | |||||||
\(758\) | −121.863 | + | 454.800i | −0.160770 | + | 0.600000i | ||||
\(759\) | −16.4376 | + | 98.0042i | −0.0216570 | + | 0.129123i | ||||
\(760\) | −55.5731 | − | 730.600i | −0.0731225 | − | 0.961315i | ||||
\(761\) | −337.561 | − | 584.672i | −0.443575 | − | 0.768295i | 0.554377 | − | 0.832266i | \(-0.312957\pi\) |
−0.997952 | + | 0.0639712i | \(0.979623\pi\) | |||||||
\(762\) | −229.324 | − | 104.612i | −0.300950 | − | 0.137286i | ||||
\(763\) | 58.3611 | − | 169.363i | 0.0764890 | − | 0.221970i | ||||
\(764\) | 726.252 | 0.950592 | ||||||||
\(765\) | 89.4622 | + | 326.854i | 0.116944 | + | 0.427261i | ||||
\(766\) | −1025.71 | − | 592.195i | −1.33905 | − | 0.773101i | ||||
\(767\) | 435.652 | + | 1625.88i | 0.567995 | + | 2.11979i | ||||
\(768\) | 129.004 | + | 1344.98i | 0.167974 | + | 1.75128i | ||||
\(769\) | −578.559 | −0.752353 | −0.376176 | − | 0.926548i | \(-0.622761\pi\) | ||||
−0.376176 | + | 0.926548i | \(0.622761\pi\) | |||||||
\(770\) | −49.8250 | + | 190.413i | −0.0647077 | + | 0.247289i | ||||
\(771\) | 296.275 | + | 793.319i | 0.384273 | + | 1.02895i | ||||
\(772\) | −52.0967 | + | 194.427i | −0.0674827 | + | 0.251849i | ||||
\(773\) | −32.9095 | − | 122.820i | −0.0425737 | − | 0.158887i | 0.941366 | − | 0.337386i | \(-0.109543\pi\) |
−0.983940 | + | 0.178498i | \(0.942876\pi\) | |||||||
\(774\) | 79.0749 | + | 408.422i | 0.102164 | + | 0.527677i | ||||
\(775\) | 422.426 | − | 64.6376i | 0.545065 | − | 0.0834034i | ||||
\(776\) | 1212.68 | 1.56273 | ||||||||
\(777\) | −304.205 | + | 186.163i | −0.391512 | + | 0.239592i | ||||
\(778\) | −1226.44 | + | 1226.44i | −1.57640 | + | 1.57640i | ||||
\(779\) | 360.493 | + | 624.392i | 0.462764 | + | 0.801530i | ||||
\(780\) | −2340.25 | − | 859.718i | −3.00032 | − | 1.10220i | ||||
\(781\) | −28.5117 | + | 49.3838i | −0.0365067 | + | 0.0632315i | ||||
\(782\) | −131.407 | + | 490.416i | −0.168039 | + | 0.627130i | ||||
\(783\) | 141.215 | + | 478.690i | 0.180352 | + | 0.611354i | ||||
\(784\) | −372.812 | − | 291.556i | −0.475525 | − | 0.371883i | ||||
\(785\) | 219.722 | + | 321.500i | 0.279901 | + | 0.409554i | ||||
\(786\) | 64.8201 | + | 53.4739i | 0.0824683 | + | 0.0680330i | ||||
\(787\) | 61.2928 | + | 228.748i | 0.0778816 | + | 0.290658i | 0.993871 | − | 0.110544i | \(-0.0352593\pi\) |
−0.915990 | + | 0.401202i | \(0.868593\pi\) | |||||||
\(788\) | 418.850 | − | 112.230i | 0.531535 | − | 0.142424i | ||||
\(789\) | 609.153 | − | 738.403i | 0.772057 | − | 0.935872i | ||||
\(790\) | 1772.70 | − | 1211.51i | 2.24392 | − | 1.53356i | ||||
\(791\) | 284.733 | − | 421.919i | 0.359966 | − | 0.533399i | ||||
\(792\) | −173.974 | − | 12.2951i | −0.219664 | − | 0.0155241i | ||||
\(793\) | 1107.04 | + | 296.629i | 1.39601 | + | 0.374060i | ||||
\(794\) | −1136.40 | − | 656.103i | −1.43124 | − | 0.826326i | ||||
\(795\) | −100.345 | + | 273.151i | −0.126221 | + | 0.343587i | ||||
\(796\) | 1575.73 | − | 909.748i | 1.97956 | − | 1.14290i | ||||
\(797\) | 205.121 | + | 205.121i | 0.257367 | + | 0.257367i | 0.823982 | − | 0.566615i | \(-0.191747\pi\) |
−0.566615 | + | 0.823982i | \(0.691747\pi\) | |||||||
\(798\) | 426.595 | − | 784.555i | 0.534581 | − | 0.983151i | ||||
\(799\) | − | 674.782i | − | 0.844533i | ||||||
\(800\) | 281.192 | + | 206.559i | 0.351490 | + | 0.258199i | ||||
\(801\) | 122.147 | + | 630.887i | 0.152493 | + | 0.787624i | ||||
\(802\) | 426.164 | − | 114.190i | 0.531377 | − | 0.142382i | ||||
\(803\) | 78.7179 | + | 21.0924i | 0.0980297 | + | 0.0262670i | ||||
\(804\) | 1668.67 | − | 623.187i | 2.07547 | − | 0.775108i | ||||
\(805\) | −672.645 | + | 184.473i | −0.835584 | + | 0.229159i | ||||
\(806\) | 1290.92i | 1.60164i | ||||||||
\(807\) | 326.667 | − | 31.3323i | 0.404792 | − | 0.0388256i | ||||
\(808\) | −63.0055 | + | 16.8823i | −0.0779771 | + | 0.0208939i | ||||
\(809\) | 109.400 | − | 189.487i | 0.135229 | − | 0.234224i | −0.790456 | − | 0.612519i | \(-0.790156\pi\) |
0.925685 | + | 0.378295i | \(0.123490\pi\) | |||||||
\(810\) | −1139.47 | − | 760.943i | −1.40675 | − | 0.939436i | ||||
\(811\) | 701.968i | 0.865559i | 0.901500 | + | 0.432780i | \(0.142467\pi\) | ||||
−0.901500 | + | 0.432780i | \(0.857533\pi\) | |||||||
\(812\) | −313.885 | + | 910.890i | −0.386558 | + | 1.12179i | ||||
\(813\) | 300.258 | − | 658.210i | 0.369321 | − | 0.809606i | ||||
\(814\) | −82.7101 | + | 47.7527i | −0.101610 | + | 0.0586643i | ||||
\(815\) | 463.162 | − | 35.2304i | 0.568296 | − | 0.0432275i | ||||
\(816\) | −215.203 | − | 36.0946i | −0.263729 | − | 0.0442336i | ||||
\(817\) | −165.881 | − | 44.4477i | −0.203037 | − | 0.0544035i | ||||
\(818\) | −224.497 | + | 224.497i | −0.274446 | + | 0.274446i | ||||
\(819\) | −845.234 | − | 1123.95i | −1.03203 | − | 1.37234i | ||||
\(820\) | 2098.70 | + | 394.664i | 2.55939 | + | 0.481297i | ||||
\(821\) | 134.575 | − | 77.6971i | 0.163916 | − | 0.0946371i | −0.415798 | − | 0.909457i | \(-0.636498\pi\) |
0.579714 | + | 0.814820i | \(0.303164\pi\) | |||||||
\(822\) | −513.728 | − | 720.785i | −0.624973 | − | 0.876867i | ||||
\(823\) | −157.669 | − | 588.430i | −0.191579 | − | 0.714982i | −0.993126 | − | 0.117050i | \(-0.962656\pi\) |
0.801547 | − | 0.597932i | \(-0.204011\pi\) | |||||||
\(824\) | 220.996 | − | 127.592i | 0.268199 | − | 0.154845i | ||||
\(825\) | −89.4062 | + | 86.8782i | −0.108371 | + | 0.105307i | ||||
\(826\) | −998.952 | + | 1480.25i | −1.20939 | + | 1.79207i | ||||
\(827\) | 7.75194 | − | 7.75194i | 0.00937356 | − | 0.00937356i | −0.702404 | − | 0.711778i | \(-0.747890\pi\) |
0.711778 | + | 0.702404i | \(0.247890\pi\) | |||||||
\(828\) | −584.536 | − | 1200.74i | −0.705961 | − | 1.45016i | ||||
\(829\) | −462.644 | + | 801.323i | −0.558075 | + | 0.966614i | 0.439582 | + | 0.898202i | \(0.355127\pi\) |
−0.997657 | + | 0.0684120i | \(0.978207\pi\) | |||||||
\(830\) | 691.006 | − | 804.783i | 0.832538 | − | 0.969619i | ||||
\(831\) | −689.235 | + | 835.478i | −0.829405 | + | 1.00539i | ||||
\(832\) | −1355.10 | + | 1355.10i | −1.62873 | + | 1.62873i | ||||
\(833\) | −294.800 | + | 221.930i | −0.353902 | + | 0.266422i | ||||
\(834\) | 215.470 | − | 80.4698i | 0.258357 | − | 0.0964866i | ||||
\(835\) | −1231.30 | − | 591.267i | −1.47461 | − | 0.708104i | ||||
\(836\) | 77.7852 | − | 134.728i | 0.0930444 | − | 0.161158i | ||||
\(837\) | −108.241 | + | 448.658i | −0.129320 | + | 0.536030i | ||||
\(838\) | 318.911 | − | 1190.19i | 0.380563 | − | 1.42028i | ||||
\(839\) | − | 565.518i | − | 0.674038i | −0.941498 | − | 0.337019i | \(-0.890581\pi\) | ||
0.941498 | − | 0.337019i | \(-0.109419\pi\) | |||||||
\(840\) | −435.000 | − | 1144.24i | −0.517857 | − | 1.36219i | ||||
\(841\) | −499.319 | −0.593720 | ||||||||
\(842\) | 1366.61 | + | 366.183i | 1.62306 | + | 0.434897i | ||||
\(843\) | −383.046 | − | 537.433i | −0.454385 | − | 0.637524i | ||||
\(844\) | −1852.87 | − | 1069.76i | −2.19535 | − | 1.26748i | ||||
\(845\) | −545.512 | − | 1553.41i | −0.645577 | − | 1.83835i | ||||
\(846\) | 1788.45 | + | 2060.46i | 2.11400 | + | 2.43553i | ||||
\(847\) | 624.771 | − | 542.846i | 0.737628 | − | 0.640904i | ||||
\(848\) | −132.498 | − | 132.498i | −0.156247 | − | 0.156247i | ||||
\(849\) | 69.2136 | − | 83.8994i | 0.0815237 | − | 0.0988214i | ||||
\(850\) | −497.086 | + | 398.236i | −0.584807 | + | 0.468513i | ||||
\(851\) | −293.100 | − | 169.221i | −0.344418 | − | 0.198850i | ||||
\(852\) | −73.1665 | − | 762.827i | −0.0858761 | − | 0.895337i | ||||
\(853\) | 1002.70 | + | 1002.70i | 1.17550 | + | 1.17550i | 0.980879 | + | 0.194618i | \(0.0623466\pi\) |
0.194618 | + | 0.980879i | \(0.437653\pi\) | |||||||
\(854\) | 532.766 | + | 1092.99i | 0.623848 | + | 1.27985i | ||||
\(855\) | 488.328 | − | 285.440i | 0.571144 | − | 0.333848i | ||||
\(856\) | 322.764 | + | 559.043i | 0.377061 | + | 0.653088i | ||||
\(857\) | −1271.49 | + | 340.693i | −1.48365 | + | 0.397542i | −0.907586 | − | 0.419865i | \(-0.862077\pi\) |
−0.576060 | + | 0.817407i | \(0.695411\pi\) | |||||||
\(858\) | −218.573 | − | 306.668i | −0.254747 | − | 0.357422i | ||||
\(859\) | 488.266 | + | 845.701i | 0.568412 | + | 0.984518i | 0.996723 | + | 0.0808871i | \(0.0257753\pi\) |
−0.428311 | + | 0.903631i | \(0.640891\pi\) | |||||||
\(860\) | −419.949 | + | 287.005i | −0.488313 | + | 0.333727i | ||||
\(861\) | 873.244 | + | 829.686i | 1.01422 | + | 0.963631i | ||||
\(862\) | −1497.40 | − | 1497.40i | −1.73713 | − | 1.73713i | ||||
\(863\) | 272.641 | − | 1017.51i | 0.315923 | − | 1.17904i | −0.607205 | − | 0.794545i | \(-0.707709\pi\) |
0.923128 | − | 0.384494i | \(-0.125624\pi\) | |||||||
\(864\) | −321.510 | + | 196.530i | −0.372118 | + | 0.227465i | ||||
\(865\) | 256.329 | − | 19.4976i | 0.296334 | − | 0.0225406i | ||||
\(866\) | 364.979 | + | 632.162i | 0.421454 | + | 0.729979i | ||||
\(867\) | 289.223 | − | 634.018i | 0.333590 | − | 0.731278i | ||||
\(868\) | −672.551 | + | 584.361i | −0.774828 | + | 0.673227i | ||||
\(869\) | 210.983 | 0.242788 | ||||||||
\(870\) | −720.393 | + | 600.818i | −0.828038 | + | 0.690595i | ||||
\(871\) | 1541.52 | + | 889.995i | 1.76982 | + | 1.02181i | ||||
\(872\) | 77.2186 | + | 288.184i | 0.0885535 | + | 0.330486i | ||||
\(873\) | 409.760 | + | 841.716i | 0.469370 | + | 0.964165i | ||||
\(874\) | 847.450 | 0.969622 | ||||||||
\(875\) | −817.079 | − | 313.059i | −0.933805 | − | 0.357782i | ||||
\(876\) | −1025.98 | + | 383.164i | −1.17121 | + | 0.437402i | ||||
\(877\) | 236.306 | − | 881.906i | 0.269448 | − | 1.00559i | −0.690023 | − | 0.723787i | \(-0.742400\pi\) |
0.959471 | − | 0.281806i | \(-0.0909336\pi\) | |||||||
\(878\) | −234.913 | − | 876.709i | −0.267555 | − | 0.998529i | ||||
\(879\) | 142.980 | − | 852.471i | 0.162662 | − | 0.969819i | ||||
\(880\) | −26.5976 | − | 75.7395i | −0.0302245 | − | 0.0860676i | ||||
\(881\) | −1386.81 | −1.57413 | −0.787064 | − | 0.616872i | \(-0.788400\pi\) | ||||
−0.787064 | + | 0.616872i | \(0.788400\pi\) | |||||||
\(882\) | 311.973 | − | 1459.01i | 0.353711 | − | 1.65420i | ||||
\(883\) | 189.457 | − | 189.457i | 0.214560 | − | 0.214560i | −0.591641 | − | 0.806201i | \(-0.701520\pi\) |
0.806201 | + | 0.591641i | \(0.201520\pi\) | |||||||
\(884\) | −625.833 | − | 1083.97i | −0.707956 | − | 1.22622i | ||||
\(885\) | −1026.54 | + | 474.951i | −1.15993 | + | 0.536667i | ||||
\(886\) | 1248.56 | − | 2162.56i | 1.40921 | − | 2.44082i | ||||
\(887\) | 149.950 | − | 559.621i | 0.169053 | − | 0.630914i | −0.828436 | − | 0.560084i | \(-0.810769\pi\) |
0.997488 | − | 0.0708295i | \(-0.0225646\pi\) | |||||||
\(888\) | 246.525 | − | 540.418i | 0.277618 | − | 0.608579i | ||||
\(889\) | 97.2443 | − | 144.097i | 0.109386 | − | 0.162089i | ||||
\(890\) | −997.172 | + | 681.496i | −1.12042 | + | 0.765726i | ||||
\(891\) | −50.2511 | − | 124.909i | −0.0563985 | − | 0.140189i | ||||
\(892\) | −135.917 | − | 507.250i | −0.152374 | − | 0.568666i | ||||
\(893\) | −1087.93 | + | 291.510i | −1.21829 | + | 0.326439i | ||||
\(894\) | −1408.19 | − | 1161.70i | −1.57516 | − | 1.29944i | ||||
\(895\) | −249.222 | + | 1325.29i | −0.278460 | + | 1.48077i | ||||
\(896\) | −1638.37 | − | 114.955i | −1.82854 | − | 0.128298i | ||||
\(897\) | 553.865 | − | 1214.15i | 0.617464 | − | 1.35357i | ||||
\(898\) | 1681.55 | + | 450.571i | 1.87255 | + | 0.501749i | ||||
\(899\) | 273.639 | + | 157.985i | 0.304381 | + | 0.175734i | ||||
\(900\) | 300.788 | − | 1648.12i | 0.334209 | − | 1.83125i | ||||
\(901\) | −126.521 | + | 73.0466i | −0.140422 | + | 0.0810729i | ||||
\(902\) | 228.086 | + | 228.086i | 0.252867 | + | 0.252867i | ||||
\(903\) | −286.819 | + | 7.33637i | −0.317629 | + | 0.00812444i | ||||
\(904\) | 847.747i | 0.937773i | ||||||||
\(905\) | 59.9870 | + | 170.820i | 0.0662840 | + | 0.188751i | ||||
\(906\) | −30.9160 | + | 184.327i | −0.0341236 | + | 0.203451i | ||||
\(907\) | 60.2539 | − | 16.1450i | 0.0664321 | − | 0.0178004i | −0.225450 | − | 0.974255i | \(-0.572385\pi\) |
0.291882 | + | 0.956454i | \(0.405719\pi\) | |||||||
\(908\) | −2942.05 | − | 788.320i | −3.24014 | − | 0.868194i | ||||
\(909\) | −33.0072 | − | 38.0274i | −0.0363116 | − | 0.0418343i | ||||
\(910\) | 1308.15 | − | 2296.81i | 1.43753 | − | 2.52396i | ||||
\(911\) | − | 1089.14i | − | 1.19554i | −0.801666 | − | 0.597772i | \(-0.796053\pi\) | ||
0.801666 | − | 0.597772i | \(-0.203947\pi\) | |||||||
\(912\) | 34.7746 | + | 362.557i | 0.0381301 | + | 0.397541i | ||||
\(913\) | 100.679 | − | 26.9768i | 0.110272 | − | 0.0295474i | ||||
\(914\) | 1382.92 | − | 2395.29i | 1.51304 | − | 2.62067i | ||||
\(915\) | −69.4174 | + | 767.009i | −0.0758661 | + | 0.838261i | ||||
\(916\) | − | 1006.10i | − | 1.09836i | ||||||
\(917\) | −43.7477 | + | 38.0112i | −0.0477075 | + | 0.0414517i | ||||
\(918\) | −194.638 | − | 659.780i | −0.212024 | − | 0.718714i | ||||
\(919\) | 1046.27 | − | 604.064i | 1.13849 | − | 0.657305i | 0.192431 | − | 0.981311i | \(-0.438363\pi\) |
0.946055 | + | 0.324005i | \(0.105030\pi\) | |||||||
\(920\) | 756.745 | − | 881.346i | 0.822548 | − | 0.957985i | ||||
\(921\) | −194.167 | + | 1157.66i | −0.210821 | + | 1.25696i | ||||
\(922\) | −1042.55 | − | 279.352i | −1.13075 | − | 0.302985i | ||||
\(923\) | 541.494 | − | 541.494i | 0.586667 | − | 0.586667i | ||||
\(924\) | 60.8283 | − | 252.692i | 0.0658315 | − | 0.273477i | ||||
\(925\) | −170.657 | − | 388.773i | −0.184494 | − | 0.420295i | ||||
\(926\) | 1219.23 | − | 703.923i | 1.31666 | − | 0.760176i | ||||
\(927\) | 163.235 | + | 110.279i | 0.176089 | + | 0.118964i | ||||
\(928\) | 66.7692 | + | 249.186i | 0.0719495 | + | 0.268519i | ||||
\(929\) | −1103.62 | + | 637.175i | −1.18796 | + | 0.685872i | −0.957844 | − | 0.287290i | \(-0.907246\pi\) |
−0.230121 | + | 0.973162i | \(0.573912\pi\) | |||||||
\(930\) | −854.737 | + | 148.078i | −0.919072 | + | 0.159223i | ||||
\(931\) | 485.165 | + | 379.422i | 0.521123 | + | 0.407543i | ||||
\(932\) | −1492.56 | + | 1492.56i | −1.60146 | + | 1.60146i | ||||
\(933\) | 123.120 | + | 1283.64i | 0.131962 | + | 1.37582i | ||||
\(934\) | 466.683 | − | 808.318i | 0.499660 | − | 0.865437i | ||||
\(935\) | −62.4063 | + | 4.74694i | −0.0667447 | + | 0.00507694i | ||||
\(936\) | 2214.01 | + | 764.181i | 2.36539 | + | 0.816432i | ||||
\(937\) | 231.527 | − | 231.527i | 0.247093 | − | 0.247093i | −0.572683 | − | 0.819777i | \(-0.694098\pi\) |
0.819777 | + | 0.572683i | \(0.194098\pi\) | |||||||
\(938\) | 359.895 | + | 1853.84i | 0.383683 | + | 1.97637i | ||||
\(939\) | 263.114 | + | 704.527i | 0.280207 | + | 0.750295i | ||||
\(940\) | −1444.07 | + | 3007.26i | −1.53625 | + | 3.19921i | ||||
\(941\) | 477.921 | − | 827.783i | 0.507886 | − | 0.879685i | −0.492072 | − | 0.870554i | \(-0.663760\pi\) |
0.999958 | − | 0.00913029i | \(-0.00290630\pi\) | |||||||
\(942\) | −458.789 | − | 643.703i | −0.487037 | − | 0.683337i | ||||
\(943\) | −295.846 | + | 1104.11i | −0.313729 | + | 1.17085i | ||||
\(944\) | − | 728.330i | − | 0.771536i | ||||||
\(945\) | 647.227 | − | 688.565i | 0.684896 | − | 0.728641i | ||||
\(946\) | −76.8316 | −0.0812173 | ||||||||
\(947\) | −21.8797 | − | 5.86264i | −0.0231042 | − | 0.00619075i | 0.247248 | − | 0.968952i | \(-0.420474\pi\) |
−0.270353 | + | 0.962761i | \(0.587140\pi\) | |||||||
\(948\) | −2308.92 | + | 1645.65i | −2.43557 | + | 1.73591i | ||||
\(949\) | −947.796 | − | 547.211i | −0.998732 | − | 0.576618i | ||||
\(950\) | 856.807 | + | 629.395i | 0.901902 | + | 0.662522i | ||||
\(951\) | 423.320 | − | 158.094i | 0.445131 | − | 0.166240i | ||||
\(952\) | 200.220 | − | 581.034i | 0.210315 | − | 0.610330i | ||||
\(953\) | 1145.97 | + | 1145.97i | 1.20249 | + | 1.20249i | 0.973408 | + | 0.229080i | \(0.0735718\pi\) |
0.229080 | + | 0.973408i | \(0.426428\pi\) | |||||||
\(954\) | 192.729 | − | 558.380i | 0.202022 | − | 0.585304i | ||||
\(955\) | −317.694 | + | 370.004i | −0.332664 | + | 0.387438i | ||||
\(956\) | 742.884 | + | 428.904i | 0.777075 | + | 0.448645i | ||||
\(957\) | −91.7542 | + | 8.80059i | −0.0958769 | + | 0.00919602i | ||||
\(958\) | −333.527 | − | 333.527i | −0.348149 | − | 0.348149i | ||||
\(959\) | 548.738 | − | 267.477i | 0.572198 | − | 0.278912i | ||||
\(960\) | −1052.67 | − | 741.791i | −1.09653 | − | 0.772699i | ||||
\(961\) | −334.403 | − | 579.203i | −0.347974 | − | 0.602708i | ||||
\(962\) | 1238.87 | − | 331.955i | 1.28781 | − | 0.345068i | ||||
\(963\) | −278.969 | + | 412.928i | −0.289687 | + | 0.428793i | ||||
\(964\) | 1445.87 | + | 2504.31i | 1.49986 | + | 2.59783i | ||||
\(965\) | −76.2656 | − | 111.593i | −0.0790317 | − | 0.115640i | ||||
\(966\) | 1357.77 | − | 401.293i | 1.40556 | − | 0.415418i | ||||
\(967\) | 510.136 | + | 510.136i | 0.527545 | + | 0.527545i | 0.919840 | − | 0.392295i | \(-0.128319\pi\) |
−0.392295 | + | 0.919840i | \(0.628319\pi\) | |||||||
\(968\) | −356.772 | + | 1331.49i | −0.368566 | + | 1.37551i | ||||
\(969\) | 280.058 | + | 46.9724i | 0.289017 | + | 0.0484751i | ||||
\(970\) | −1146.24 | + | 1334.98i | −1.18169 | + | 1.37626i | ||||
\(971\) | 838.747 | + | 1452.75i | 0.863797 | + | 1.49614i | 0.868237 | + | 0.496150i | \(0.165253\pi\) |
−0.00444020 | + | 0.999990i | \(0.501413\pi\) | |||||||
\(972\) | 1524.21 | + | 975.004i | 1.56811 | + | 1.00309i | ||||
\(973\) | 30.2315 | + | 155.724i | 0.0310704 | + | 0.160045i | ||||
\(974\) | 1680.82 | 1.72569 | ||||||||
\(975\) | 1461.72 | − | 816.207i | 1.49920 | − | 0.837136i | ||||
\(976\) | −429.470 | − | 247.955i | −0.440031 | − | 0.254052i | ||||
\(977\) | 490.349 | + | 1830.01i | 0.501892 | + | 1.87309i | 0.487375 | + | 0.873193i | \(0.337955\pi\) |
0.0145173 | + | 0.999895i | \(0.495379\pi\) | |||||||
\(978\) | −938.587 | + | 90.0244i | −0.959700 | + | 0.0920495i | ||||
\(979\) | −118.681 | −0.121227 | ||||||||
\(980\) | 1788.76 | − | 358.168i | 1.82527 | − | 0.365478i | ||||
\(981\) | −173.935 | + | 150.973i | −0.177304 | + | 0.153897i | ||||
\(982\) | 340.358 | − | 1270.24i | 0.346597 | − | 1.29352i | ||||
\(983\) | −234.521 | − | 875.243i | −0.238576 | − | 0.890379i | −0.976504 | − | 0.215499i | \(-0.930862\pi\) |
0.737928 | − | 0.674880i | \(-0.235805\pi\) | |||||||
\(984\) | −1978.53 | − | 331.846i | −2.01070 | − | 0.337242i | ||||
\(985\) | −126.045 | + | 262.486i | −0.127964 | + | 0.266483i | ||||
\(986\) | −470.941 | −0.477627 | ||||||||
\(987\) | −1605.02 | + | 982.219i | −1.62616 | + | 0.995156i | ||||
\(988\) | −1477.29 | + | 1477.29i | −1.49524 | + | 1.49524i | ||||
\(989\) | −136.134 | − | 235.791i | −0.137648 | − | 0.238413i | ||||
\(990\) | 177.977 | − | 179.897i | 0.179775 | − | 0.181714i | ||||
\(991\) | −333.626 | + | 577.858i | −0.336656 | + | 0.583106i | −0.983802 | − | 0.179261i | \(-0.942629\pi\) |
0.647145 | + | 0.762367i | \(0.275963\pi\) | |||||||
\(992\) | −61.7449 | + | 230.435i | −0.0622429 | + | 0.232294i | ||||
\(993\) | −437.640 | − | 199.640i | −0.440725 | − | 0.201047i | ||||
\(994\) | 810.456 | + | 56.8651i | 0.815348 | + | 0.0572083i | ||||
\(995\) | −225.803 | + | 1200.75i | −0.226937 | + | 1.20678i | ||||
\(996\) | −891.376 | + | 1080.51i | −0.894956 | + | 1.08485i | ||||
\(997\) | 385.060 | + | 1437.07i | 0.386219 | + | 1.44139i | 0.836236 | + | 0.548369i | \(0.184751\pi\) |
−0.450017 | + | 0.893020i | \(0.648582\pi\) | |||||||
\(998\) | −1132.09 | + | 303.344i | −1.13436 | + | 0.303952i | ||||
\(999\) | 458.402 | − | 11.4935i | 0.458861 | − | 0.0115050i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 105.3.w.a.17.3 | ✓ | 112 | |
3.2 | odd | 2 | inner | 105.3.w.a.17.26 | yes | 112 | |
5.3 | odd | 4 | inner | 105.3.w.a.38.3 | yes | 112 | |
7.5 | odd | 6 | inner | 105.3.w.a.47.26 | yes | 112 | |
15.8 | even | 4 | inner | 105.3.w.a.38.26 | yes | 112 | |
21.5 | even | 6 | inner | 105.3.w.a.47.3 | yes | 112 | |
35.33 | even | 12 | inner | 105.3.w.a.68.26 | yes | 112 | |
105.68 | odd | 12 | inner | 105.3.w.a.68.3 | yes | 112 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.3.w.a.17.3 | ✓ | 112 | 1.1 | even | 1 | trivial | |
105.3.w.a.17.26 | yes | 112 | 3.2 | odd | 2 | inner | |
105.3.w.a.38.3 | yes | 112 | 5.3 | odd | 4 | inner | |
105.3.w.a.38.26 | yes | 112 | 15.8 | even | 4 | inner | |
105.3.w.a.47.3 | yes | 112 | 21.5 | even | 6 | inner | |
105.3.w.a.47.26 | yes | 112 | 7.5 | odd | 6 | inner | |
105.3.w.a.68.3 | yes | 112 | 105.68 | odd | 12 | inner | |
105.3.w.a.68.26 | yes | 112 | 35.33 | even | 12 | inner |