Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [187,2,Mod(69,187)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(187, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([8, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("187.69");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 187 = 11 \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 187.g (of order \(5\), 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: | \(1.49320251780\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 69.4 | ||
Character | \(\chi\) | \(=\) | 187.69 |
Dual form | 187.2.g.f.103.4 |
$q$-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 \(\left(\mathbb{Z}/187\mathbb{Z}\right)^\times\).
\(n\) | \(35\) | \(122\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.28769 | + | 0.935561i | −0.910533 | + | 0.661541i | −0.941150 | − | 0.337990i | \(-0.890253\pi\) |
0.0306163 | + | 0.999531i | \(0.490253\pi\) | |||||||
\(3\) | 0.00348887 | + | 0.0107376i | 0.00201430 | + | 0.00619938i | 0.952059 | − | 0.305916i | \(-0.0989626\pi\) |
−0.950044 | + | 0.312115i | \(0.898963\pi\) | |||||||
\(4\) | 0.164835 | − | 0.507309i | 0.0824173 | − | 0.253654i | ||||
\(5\) | 2.53950 | + | 1.84506i | 1.13570 | + | 0.825135i | 0.986514 | − | 0.163674i | \(-0.0523346\pi\) |
0.149186 | + | 0.988809i | \(0.452335\pi\) | |||||||
\(6\) | −0.0145383 | − | 0.0105627i | −0.00593524 | − | 0.00431220i | ||||
\(7\) | −0.112651 | + | 0.346704i | −0.0425781 | + | 0.131042i | −0.970086 | − | 0.242762i | \(-0.921947\pi\) |
0.927508 | + | 0.373804i | \(0.121947\pi\) | |||||||
\(8\) | −0.721344 | − | 2.22007i | −0.255034 | − | 0.784913i | ||||
\(9\) | 2.42695 | − | 1.76328i | 0.808983 | − | 0.587760i | ||||
\(10\) | −4.99625 | −1.57995 | ||||||||
\(11\) | 0.725045 | + | 3.23640i | 0.218609 | + | 0.975812i | ||||
\(12\) | 0.00602239 | 0.00173851 | ||||||||
\(13\) | −4.04521 | + | 2.93902i | −1.12194 | + | 0.815137i | −0.984502 | − | 0.175373i | \(-0.943887\pi\) |
−0.137438 | + | 0.990510i | \(0.543887\pi\) | |||||||
\(14\) | −0.179303 | − | 0.551839i | −0.0479208 | − | 0.147485i | ||||
\(15\) | −0.0109516 | + | 0.0337055i | −0.00282768 | + | 0.00870271i | ||||
\(16\) | 3.86896 | + | 2.81096i | 0.967240 | + | 0.702741i | ||||
\(17\) | −0.809017 | − | 0.587785i | −0.196215 | − | 0.142559i | ||||
\(18\) | −1.47550 | + | 4.54111i | −0.347778 | + | 1.07035i | ||||
\(19\) | 1.47444 | + | 4.53787i | 0.338261 | + | 1.04106i | 0.965094 | + | 0.261905i | \(0.0843508\pi\) |
−0.626833 | + | 0.779154i | \(0.715649\pi\) | |||||||
\(20\) | 1.35461 | − | 0.984183i | 0.302900 | − | 0.220070i | ||||
\(21\) | −0.00411581 | −0.000898144 | ||||||||
\(22\) | −3.96148 | − | 3.48916i | −0.844591 | − | 0.743891i | ||||
\(23\) | −1.68786 | −0.351944 | −0.175972 | − | 0.984395i | \(-0.556307\pi\) | ||||
−0.175972 | + | 0.984395i | \(0.556307\pi\) | |||||||
\(24\) | 0.0213216 | − | 0.0154911i | 0.00435226 | − | 0.00316210i | ||||
\(25\) | 1.49976 | + | 4.61578i | 0.299952 | + | 0.923156i | ||||
\(26\) | 2.45934 | − | 7.56908i | 0.482317 | − | 1.48442i | ||||
\(27\) | 0.0548028 | + | 0.0398165i | 0.0105468 | + | 0.00766270i | ||||
\(28\) | 0.157317 | + | 0.114298i | 0.0297302 | + | 0.0216002i | ||||
\(29\) | 2.90382 | − | 8.93704i | 0.539226 | − | 1.65957i | −0.195110 | − | 0.980781i | \(-0.562506\pi\) |
0.734336 | − | 0.678786i | \(-0.237494\pi\) | |||||||
\(30\) | −0.0174313 | − | 0.0536480i | −0.00318250 | − | 0.00979474i | ||||
\(31\) | −6.32486 | + | 4.59528i | −1.13598 | + | 0.825337i | −0.986554 | − | 0.163436i | \(-0.947742\pi\) |
−0.149425 | + | 0.988773i | \(0.547742\pi\) | |||||||
\(32\) | −2.94321 | −0.520291 | ||||||||
\(33\) | −0.0322218 | + | 0.0190767i | −0.00560909 | + | 0.00332082i | ||||
\(34\) | 1.59167 | 0.272969 | ||||||||
\(35\) | −0.925767 | + | 0.672609i | −0.156483 | + | 0.113692i | ||||
\(36\) | −0.494483 | − | 1.52186i | −0.0824138 | − | 0.253644i | ||||
\(37\) | 2.53206 | − | 7.79288i | 0.416268 | − | 1.28114i | −0.494843 | − | 0.868982i | \(-0.664774\pi\) |
0.911111 | − | 0.412160i | \(-0.135226\pi\) | |||||||
\(38\) | −6.14408 | − | 4.46393i | −0.996701 | − | 0.724146i | ||||
\(39\) | −0.0456714 | − | 0.0331822i | −0.00731327 | − | 0.00531340i | ||||
\(40\) | 2.26430 | − | 6.96880i | 0.358017 | − | 1.10186i | ||||
\(41\) | −0.686013 | − | 2.11133i | −0.107137 | − | 0.329735i | 0.883089 | − | 0.469206i | \(-0.155460\pi\) |
−0.990226 | + | 0.139471i | \(0.955460\pi\) | |||||||
\(42\) | 0.00529988 | − | 0.00385059i | 0.000817790 | − | 0.000594159i | ||||
\(43\) | 9.31357 | 1.42031 | 0.710153 | − | 0.704047i | \(-0.248626\pi\) | ||||
0.710153 | + | 0.704047i | \(0.248626\pi\) | |||||||
\(44\) | 1.76137 | + | 0.165650i | 0.265536 | + | 0.0249726i | ||||
\(45\) | 9.41660 | 1.40374 | ||||||||
\(46\) | 2.17344 | − | 1.57910i | 0.320457 | − | 0.232825i | ||||
\(47\) | −1.25302 | − | 3.85638i | −0.182771 | − | 0.562512i | 0.817132 | − | 0.576451i | \(-0.195563\pi\) |
−0.999903 | + | 0.0139394i | \(0.995563\pi\) | |||||||
\(48\) | −0.0166848 | + | 0.0513506i | −0.00240825 | + | 0.00741183i | ||||
\(49\) | 5.55561 | + | 4.03638i | 0.793658 | + | 0.576626i | ||||
\(50\) | −6.24956 | − | 4.54057i | −0.883822 | − | 0.642134i | ||||
\(51\) | 0.00348887 | − | 0.0107376i | 0.000488540 | − | 0.00150357i | ||||
\(52\) | 0.824199 | + | 2.53662i | 0.114296 | + | 0.351766i | ||||
\(53\) | 10.1419 | − | 7.36855i | 1.39310 | − | 1.01215i | 0.397585 | − | 0.917565i | \(-0.369848\pi\) |
0.995517 | − | 0.0945830i | \(-0.0301518\pi\) | |||||||
\(54\) | −0.107820 | −0.0146724 | ||||||||
\(55\) | −4.13010 | + | 9.55661i | −0.556902 | + | 1.28861i | ||||
\(56\) | 0.850967 | 0.113715 | ||||||||
\(57\) | −0.0435819 | + | 0.0316641i | −0.00577256 | + | 0.00419401i | ||||
\(58\) | 4.62193 | + | 14.2248i | 0.606889 | + | 1.86781i | ||||
\(59\) | 1.12397 | − | 3.45922i | 0.146328 | − | 0.450352i | −0.850851 | − | 0.525407i | \(-0.823913\pi\) |
0.997179 | + | 0.0750549i | \(0.0239132\pi\) | |||||||
\(60\) | 0.0152939 | + | 0.0111117i | 0.00197443 | + | 0.00143451i | ||||
\(61\) | −4.65285 | − | 3.38049i | −0.595736 | − | 0.432828i | 0.248627 | − | 0.968599i | \(-0.420021\pi\) |
−0.844363 | + | 0.535772i | \(0.820021\pi\) | |||||||
\(62\) | 3.84529 | − | 11.8346i | 0.488352 | − | 1.50299i | ||||
\(63\) | 0.337939 | + | 1.04007i | 0.0425763 | + | 0.131036i | ||||
\(64\) | −3.94799 | + | 2.86838i | −0.493498 | + | 0.358548i | ||||
\(65\) | −15.6955 | −1.94679 | ||||||||
\(66\) | 0.0236442 | − | 0.0547102i | 0.00291040 | − | 0.00673436i | ||||
\(67\) | −8.99814 | −1.09930 | −0.549649 | − | 0.835396i | \(-0.685238\pi\) | ||||
−0.549649 | + | 0.835396i | \(0.685238\pi\) | |||||||
\(68\) | −0.431543 | + | 0.313534i | −0.0523322 | + | 0.0380216i | ||||
\(69\) | −0.00588874 | − | 0.0181237i | −0.000708921 | − | 0.00218183i | ||||
\(70\) | 0.562833 | − | 1.73222i | 0.0672714 | − | 0.207040i | ||||
\(71\) | 4.79716 | + | 3.48534i | 0.569318 | + | 0.413634i | 0.834857 | − | 0.550466i | \(-0.185550\pi\) |
−0.265539 | + | 0.964100i | \(0.585550\pi\) | |||||||
\(72\) | −5.66527 | − | 4.11606i | −0.667659 | − | 0.485082i | ||||
\(73\) | −2.27187 | + | 6.99211i | −0.265903 | + | 0.818364i | 0.725581 | + | 0.688136i | \(0.241571\pi\) |
−0.991484 | + | 0.130228i | \(0.958429\pi\) | |||||||
\(74\) | 4.03021 | + | 12.4037i | 0.468502 | + | 1.44190i | ||||
\(75\) | −0.0443301 | + | 0.0322077i | −0.00511880 | + | 0.00371903i | ||||
\(76\) | 2.54514 | 0.291948 | ||||||||
\(77\) | −1.20375 | − | 0.113208i | −0.137180 | − | 0.0129013i | ||||
\(78\) | 0.0898545 | 0.0101740 | ||||||||
\(79\) | 5.70100 | − | 4.14202i | 0.641412 | − | 0.466013i | −0.218923 | − | 0.975742i | \(-0.570254\pi\) |
0.860335 | + | 0.509729i | \(0.170254\pi\) | |||||||
\(80\) | 4.63885 | + | 14.2769i | 0.518639 | + | 1.59621i | ||||
\(81\) | 2.78080 | − | 8.55842i | 0.308978 | − | 0.950935i | ||||
\(82\) | 2.85865 | + | 2.07693i | 0.315685 | + | 0.229359i | ||||
\(83\) | −10.5136 | − | 7.63855i | −1.15401 | − | 0.838440i | −0.165004 | − | 0.986293i | \(-0.552764\pi\) |
−0.989009 | + | 0.147853i | \(0.952764\pi\) | |||||||
\(84\) | −0.000678428 | 0.00208799i | −7.40226e−5 | 0.000227818i | ||||||
\(85\) | −0.970004 | − | 2.98537i | −0.105212 | − | 0.323808i | ||||
\(86\) | −11.9930 | + | 8.71341i | −1.29324 | + | 0.939591i | ||||
\(87\) | 0.106094 | 0.0113745 | ||||||||
\(88\) | 6.66203 | − | 3.94421i | 0.710175 | − | 0.420454i | ||||
\(89\) | 0.993612 | 0.105323 | 0.0526613 | − | 0.998612i | \(-0.483230\pi\) | ||||
0.0526613 | + | 0.998612i | \(0.483230\pi\) | |||||||
\(90\) | −12.1256 | + | 8.80980i | −1.27816 | + | 0.928634i | ||||
\(91\) | −0.563273 | − | 1.73358i | −0.0590470 | − | 0.181728i | ||||
\(92\) | −0.278218 | + | 0.856267i | −0.0290062 | + | 0.0892721i | ||||
\(93\) | −0.0714091 | − | 0.0518818i | −0.00740478 | − | 0.00537989i | ||||
\(94\) | 5.22138 | + | 3.79355i | 0.538544 | + | 0.391275i | ||||
\(95\) | −4.62828 | + | 14.2444i | −0.474851 | + | 1.46144i | ||||
\(96\) | −0.0102685 | − | 0.0316031i | −0.00104802 | − | 0.00322548i | ||||
\(97\) | −10.3805 | + | 7.54187i | −1.05398 | + | 0.765761i | −0.972965 | − | 0.230952i | \(-0.925816\pi\) |
−0.0810141 | + | 0.996713i | \(0.525816\pi\) | |||||||
\(98\) | −10.9302 | −1.10411 | ||||||||
\(99\) | 7.46633 | + | 6.57613i | 0.750395 | + | 0.660926i | ||||
\(100\) | 2.58884 | 0.258884 | ||||||||
\(101\) | 5.77069 | − | 4.19265i | 0.574205 | − | 0.417184i | −0.262425 | − | 0.964952i | \(-0.584522\pi\) |
0.836630 | + | 0.547768i | \(0.184522\pi\) | |||||||
\(102\) | 0.00555314 | + | 0.0170908i | 0.000549842 | + | 0.00169224i | ||||
\(103\) | 3.97535 | − | 12.2349i | 0.391703 | − | 1.20554i | −0.539797 | − | 0.841795i | \(-0.681499\pi\) |
0.931500 | − | 0.363742i | \(-0.118501\pi\) | |||||||
\(104\) | 9.44282 | + | 6.86061i | 0.925944 | + | 0.672738i | ||||
\(105\) | −0.0104521 | − | 0.00759391i | −0.00102002 | − | 0.000741090i | ||||
\(106\) | −6.16593 | + | 18.9768i | −0.598889 | + | 1.84319i | ||||
\(107\) | 0.518107 | + | 1.59457i | 0.0500873 | + | 0.154153i | 0.972972 | − | 0.230924i | \(-0.0741749\pi\) |
−0.922884 | + | 0.385077i | \(0.874175\pi\) | |||||||
\(108\) | 0.0292327 | − | 0.0212388i | 0.00281291 | − | 0.00204370i | ||||
\(109\) | 8.86758 | 0.849360 | 0.424680 | − | 0.905343i | \(-0.360387\pi\) | ||||
0.424680 | + | 0.905343i | \(0.360387\pi\) | |||||||
\(110\) | −3.62251 | − | 16.1699i | −0.345393 | − | 1.54174i | ||||
\(111\) | 0.0925113 | 0.00878078 | ||||||||
\(112\) | −1.41042 | + | 1.02473i | −0.133272 | + | 0.0968276i | ||||
\(113\) | 2.47171 | + | 7.60713i | 0.232519 | + | 0.715619i | 0.997441 | + | 0.0714960i | \(0.0227773\pi\) |
−0.764922 | + | 0.644123i | \(0.777223\pi\) | |||||||
\(114\) | 0.0264962 | − | 0.0815470i | 0.00248160 | − | 0.00763758i | ||||
\(115\) | −4.28633 | − | 3.11420i | −0.399703 | − | 0.290401i | ||||
\(116\) | −4.05519 | − | 2.94627i | −0.376515 | − | 0.273554i | ||||
\(117\) | −4.63520 | + | 14.2657i | −0.428525 | + | 1.31886i | ||||
\(118\) | 1.78899 | + | 5.50593i | 0.164690 | + | 0.506862i | ||||
\(119\) | 0.294924 | − | 0.214275i | 0.0270357 | − | 0.0196426i | ||||
\(120\) | 0.0827283 | 0.00755203 | ||||||||
\(121\) | −9.94862 | + | 4.69308i | −0.904420 | + | 0.426643i | ||||
\(122\) | 9.15408 | 0.828771 | ||||||||
\(123\) | 0.0202773 | − | 0.0147323i | 0.00182834 | − | 0.00132837i | ||||
\(124\) | 1.28867 | + | 3.96612i | 0.115726 | + | 0.356168i | ||||
\(125\) | 0.142283 | − | 0.437901i | 0.0127262 | − | 0.0391671i | ||||
\(126\) | −1.40821 | − | 1.02312i | −0.125453 | − | 0.0911470i | ||||
\(127\) | −0.0451792 | − | 0.0328246i | −0.00400901 | − | 0.00291272i | 0.585779 | − | 0.810471i | \(-0.300789\pi\) |
−0.589788 | + | 0.807558i | \(0.700789\pi\) | |||||||
\(128\) | 4.21924 | − | 12.9855i | 0.372931 | − | 1.14776i | ||||
\(129\) | 0.0324939 | + | 0.100006i | 0.00286093 | + | 0.00880502i | ||||
\(130\) | 20.2109 | − | 14.6841i | 1.77261 | − | 1.28788i | ||||
\(131\) | 1.06635 | 0.0931678 | 0.0465839 | − | 0.998914i | \(-0.485167\pi\) | ||||
0.0465839 | + | 0.998914i | \(0.485167\pi\) | |||||||
\(132\) | 0.00436650 | + | 0.0194909i | 0.000380055 | + | 0.00169646i | ||||
\(133\) | −1.73940 | −0.150825 | ||||||||
\(134\) | 11.5868 | − | 8.41831i | 1.00095 | − | 0.727231i | ||||
\(135\) | 0.0657080 | + | 0.202228i | 0.00565525 | + | 0.0174051i | ||||
\(136\) | −0.721344 | + | 2.22007i | −0.0618548 | + | 0.190369i | ||||
\(137\) | −8.41936 | − | 6.11702i | −0.719314 | − | 0.522613i | 0.166851 | − | 0.985982i | \(-0.446640\pi\) |
−0.886165 | + | 0.463370i | \(0.846640\pi\) | |||||||
\(138\) | 0.0245387 | + | 0.0178284i | 0.00208887 | + | 0.00151765i | ||||
\(139\) | 0.900584 | − | 2.77171i | 0.0763865 | − | 0.235093i | −0.905571 | − | 0.424194i | \(-0.860557\pi\) |
0.981958 | + | 0.189101i | \(0.0605573\pi\) | |||||||
\(140\) | 0.188622 | + | 0.580519i | 0.0159415 | + | 0.0490628i | ||||
\(141\) | 0.0370369 | − | 0.0269089i | 0.00311907 | − | 0.00226614i | ||||
\(142\) | −9.43799 | −0.792019 | ||||||||
\(143\) | −12.4448 | − | 10.9610i | −1.04069 | − | 0.916606i | ||||
\(144\) | 14.3463 | 1.19552 | ||||||||
\(145\) | 23.8636 | − | 17.3379i | 1.98177 | − | 1.43984i | ||||
\(146\) | −3.61607 | − | 11.1291i | −0.299268 | − | 0.921054i | ||||
\(147\) | −0.0239585 | + | 0.0737366i | −0.00197606 | + | 0.00608169i | ||||
\(148\) | −3.53603 | − | 2.56907i | −0.290660 | − | 0.211177i | ||||
\(149\) | 7.32688 | + | 5.32329i | 0.600242 | + | 0.436101i | 0.845965 | − | 0.533239i | \(-0.179025\pi\) |
−0.245723 | + | 0.969340i | \(0.579025\pi\) | |||||||
\(150\) | 0.0269511 | − | 0.0829471i | 0.00220055 | − | 0.00677260i | ||||
\(151\) | −6.26267 | − | 19.2745i | −0.509649 | − | 1.56854i | −0.792812 | − | 0.609467i | \(-0.791384\pi\) |
0.283163 | − | 0.959072i | \(-0.408616\pi\) | |||||||
\(152\) | 9.01081 | − | 6.54673i | 0.730873 | − | 0.531010i | ||||
\(153\) | −2.99987 | −0.242525 | ||||||||
\(154\) | 1.65597 | − | 0.980406i | 0.133442 | − | 0.0790034i | ||||
\(155\) | −24.5406 | −1.97115 | ||||||||
\(156\) | −0.0243618 | + | 0.0176999i | −0.00195051 | + | 0.00141713i | ||||
\(157\) | −0.543073 | − | 1.67141i | −0.0433420 | − | 0.133393i | 0.927044 | − | 0.374953i | \(-0.122341\pi\) |
−0.970386 | + | 0.241560i | \(0.922341\pi\) | |||||||
\(158\) | −3.46600 | + | 10.6673i | −0.275740 | + | 0.848641i | ||||
\(159\) | 0.114505 | + | 0.0831926i | 0.00908082 | + | 0.00659760i | ||||
\(160\) | −7.47429 | − | 5.43039i | −0.590894 | − | 0.429310i | ||||
\(161\) | 0.190139 | − | 0.585189i | 0.0149851 | − | 0.0461194i | ||||
\(162\) | 4.42612 | + | 13.6222i | 0.347748 | + | 1.07026i | ||||
\(163\) | −13.7013 | + | 9.95460i | −1.07317 | + | 0.779704i | −0.976479 | − | 0.215610i | \(-0.930826\pi\) |
−0.0966912 | + | 0.995314i | \(0.530826\pi\) | |||||||
\(164\) | −1.18418 | −0.0924686 | ||||||||
\(165\) | −0.117025 | − | 0.0110057i | −0.00911037 | − | 0.000856795i | ||||
\(166\) | 20.6845 | 1.60543 | ||||||||
\(167\) | −2.34022 | + | 1.70027i | −0.181092 | + | 0.131571i | −0.674638 | − | 0.738149i | \(-0.735700\pi\) |
0.493547 | + | 0.869719i | \(0.335700\pi\) | |||||||
\(168\) | 0.00296892 | + | 0.00913739i | 0.000229057 | + | 0.000704965i | ||||
\(169\) | 3.70869 | − | 11.4142i | 0.285284 | − | 0.878013i | ||||
\(170\) | 4.04205 | + | 2.93672i | 0.310011 | + | 0.225236i | ||||
\(171\) | 11.5799 | + | 8.41332i | 0.885540 | + | 0.643382i | ||||
\(172\) | 1.53520 | − | 4.72486i | 0.117058 | − | 0.360267i | ||||
\(173\) | 2.03089 | + | 6.25044i | 0.154406 | + | 0.475212i | 0.998100 | − | 0.0616117i | \(-0.0196240\pi\) |
−0.843694 | + | 0.536824i | \(0.819624\pi\) | |||||||
\(174\) | −0.136616 | + | 0.0992573i | −0.0103568 | + | 0.00752467i | ||||
\(175\) | −1.76926 | −0.133743 | ||||||||
\(176\) | −6.29225 | + | 14.5596i | −0.474296 | + | 1.09747i | ||||
\(177\) | 0.0410652 | 0.00308665 | ||||||||
\(178\) | −1.27946 | + | 0.929584i | −0.0958998 | + | 0.0696753i | ||||
\(179\) | −0.0593318 | − | 0.182604i | −0.00443467 | − | 0.0136485i | 0.948815 | − | 0.315833i | \(-0.102284\pi\) |
−0.953249 | + | 0.302185i | \(0.902284\pi\) | |||||||
\(180\) | 1.55218 | − | 4.77712i | 0.115693 | − | 0.356066i | ||||
\(181\) | −15.3281 | − | 11.1365i | −1.13933 | − | 0.827769i | −0.152301 | − | 0.988334i | \(-0.548668\pi\) |
−0.987025 | + | 0.160565i | \(0.948668\pi\) | |||||||
\(182\) | 2.34718 | + | 1.70533i | 0.173985 | + | 0.126407i | ||||
\(183\) | 0.0200653 | − | 0.0617548i | 0.00148327 | − | 0.00456504i | ||||
\(184\) | 1.21753 | + | 3.74717i | 0.0897575 | + | 0.276245i | ||||
\(185\) | 20.8085 | − | 15.1183i | 1.52987 | − | 1.11152i | ||||
\(186\) | 0.140491 | 0.0103013 | ||||||||
\(187\) | 1.31574 | − | 3.04448i | 0.0962162 | − | 0.222634i | ||||
\(188\) | −2.16292 | −0.157747 | ||||||||
\(189\) | −0.0199781 | + | 0.0145150i | −0.00145320 | + | 0.00105581i | ||||
\(190\) | −7.36669 | − | 22.6724i | −0.534436 | − | 1.64483i | ||||
\(191\) | −5.12112 | + | 15.7612i | −0.370551 | + | 1.14044i | 0.575880 | + | 0.817534i | \(0.304660\pi\) |
−0.946431 | + | 0.322905i | \(0.895340\pi\) | |||||||
\(192\) | −0.0445737 | − | 0.0323847i | −0.00321683 | − | 0.00233716i | ||||
\(193\) | 8.10382 | + | 5.88777i | 0.583326 | + | 0.423811i | 0.839922 | − | 0.542708i | \(-0.182601\pi\) |
−0.256596 | + | 0.966519i | \(0.582601\pi\) | |||||||
\(194\) | 6.31097 | − | 19.4232i | 0.453101 | − | 1.39450i | ||||
\(195\) | −0.0547596 | − | 0.168533i | −0.00392141 | − | 0.0120689i | ||||
\(196\) | 2.96345 | − | 2.15307i | 0.211675 | − | 0.153791i | ||||
\(197\) | −2.26647 | −0.161479 | −0.0807397 | − | 0.996735i | \(-0.525728\pi\) | ||||
−0.0807397 | + | 0.996735i | \(0.525728\pi\) | |||||||
\(198\) | −15.7667 | − | 1.48279i | −1.12049 | − | 0.105378i | ||||
\(199\) | 8.59133 | 0.609023 | 0.304512 | − | 0.952509i | \(-0.401507\pi\) | ||||
0.304512 | + | 0.952509i | \(0.401507\pi\) | |||||||
\(200\) | 9.16551 | − | 6.65913i | 0.648099 | − | 0.470872i | ||||
\(201\) | −0.0313934 | − | 0.0966188i | −0.00221432 | − | 0.00681497i | ||||
\(202\) | −3.50837 | + | 10.7977i | −0.246848 | + | 0.759721i | ||||
\(203\) | 2.77139 | + | 2.01353i | 0.194514 | + | 0.141322i | ||||
\(204\) | −0.00487221 | − | 0.00353987i | −0.000341123 | − | 0.000247841i | ||||
\(205\) | 2.15339 | − | 6.62747i | 0.150400 | − | 0.462882i | ||||
\(206\) | 6.32745 | + | 19.4739i | 0.440854 | + | 1.35681i | ||||
\(207\) | −4.09636 | + | 2.97618i | −0.284716 | + | 0.206859i | ||||
\(208\) | −23.9122 | −1.65802 | ||||||||
\(209\) | −13.6173 | + | 8.06205i | −0.941931 | + | 0.557664i | ||||
\(210\) | 0.0205636 | 0.00141903 | ||||||||
\(211\) | −17.4174 | + | 12.6545i | −1.19906 | + | 0.871170i | −0.994192 | − | 0.107619i | \(-0.965677\pi\) |
−0.204870 | + | 0.978789i | \(0.565677\pi\) | |||||||
\(212\) | −2.06639 | − | 6.35968i | −0.141920 | − | 0.436785i | ||||
\(213\) | −0.0206877 | + | 0.0636701i | −0.00141750 | + | 0.00436260i | ||||
\(214\) | −2.15898 | − | 1.56859i | −0.147585 | − | 0.107226i | ||||
\(215\) | 23.6519 | + | 17.1841i | 1.61304 | + | 1.17194i | ||||
\(216\) | 0.0488638 | − | 0.150387i | 0.00332476 | − | 0.0102326i | ||||
\(217\) | −0.880701 | − | 2.71052i | −0.0597859 | − | 0.184002i | ||||
\(218\) | −11.4187 | + | 8.29616i | −0.773371 | + | 0.561887i | ||||
\(219\) | −0.0830051 | −0.00560896 | ||||||||
\(220\) | 4.16737 | + | 3.67049i | 0.280964 | + | 0.247465i | ||||
\(221\) | 5.00016 | 0.336347 | ||||||||
\(222\) | −0.119126 | + | 0.0865499i | −0.00799520 | + | 0.00580885i | ||||
\(223\) | −3.36897 | − | 10.3686i | −0.225603 | − | 0.694334i | −0.998230 | − | 0.0594739i | \(-0.981058\pi\) |
0.772627 | − | 0.634860i | \(-0.218942\pi\) | |||||||
\(224\) | 0.331555 | − | 1.02042i | 0.0221530 | − | 0.0681798i | ||||
\(225\) | 11.7787 | + | 8.55776i | 0.785250 | + | 0.570517i | ||||
\(226\) | −10.2997 | − | 7.48318i | −0.685127 | − | 0.497774i | ||||
\(227\) | 1.32255 | − | 4.07038i | 0.0877804 | − | 0.270160i | −0.897525 | − | 0.440964i | \(-0.854636\pi\) |
0.985305 | + | 0.170804i | \(0.0546365\pi\) | |||||||
\(228\) | 0.00887967 | + | 0.0273288i | 0.000588070 | + | 0.00180989i | ||||
\(229\) | −12.8769 | + | 9.35560i | −0.850928 | + | 0.618235i | −0.925402 | − | 0.378988i | \(-0.876272\pi\) |
0.0744738 | + | 0.997223i | \(0.476272\pi\) | |||||||
\(230\) | 8.43299 | 0.556055 | ||||||||
\(231\) | −0.00298415 | − | 0.0133204i | −0.000196343 | − | 0.000876420i | ||||
\(232\) | −21.9355 | −1.44014 | ||||||||
\(233\) | −11.7385 | + | 8.52855i | −0.769018 | + | 0.558724i | −0.901663 | − | 0.432439i | \(-0.857653\pi\) |
0.132645 | + | 0.991164i | \(0.457653\pi\) | |||||||
\(234\) | −7.37772 | − | 22.7063i | −0.482296 | − | 1.48436i | ||||
\(235\) | 3.93321 | − | 12.1052i | 0.256575 | − | 0.789655i | ||||
\(236\) | −1.56962 | − | 1.14040i | −0.102174 | − | 0.0742335i | ||||
\(237\) | 0.0643656 | + | 0.0467643i | 0.00418099 | + | 0.00303767i | ||||
\(238\) | −0.179303 | + | 0.551839i | −0.0116225 | + | 0.0357704i | ||||
\(239\) | 1.78360 | + | 5.48935i | 0.115371 | + | 0.355077i | 0.992024 | − | 0.126047i | \(-0.0402289\pi\) |
−0.876653 | + | 0.481123i | \(0.840229\pi\) | |||||||
\(240\) | −0.137116 | + | 0.0996207i | −0.00885080 | + | 0.00643049i | ||||
\(241\) | 15.0632 | 0.970303 | 0.485152 | − | 0.874430i | \(-0.338764\pi\) | ||||
0.485152 | + | 0.874430i | \(0.338764\pi\) | |||||||
\(242\) | 8.42007 | − | 15.3508i | 0.541263 | − | 0.986784i | ||||
\(243\) | 0.304819 | 0.0195541 | ||||||||
\(244\) | −2.48190 | + | 1.80321i | −0.158888 | + | 0.115439i | ||||
\(245\) | 6.66112 | + | 20.5008i | 0.425563 | + | 1.30975i | ||||
\(246\) | −0.0123279 | + | 0.0379413i | −0.000785997 | + | 0.00241905i | ||||
\(247\) | −19.3013 | − | 14.0232i | −1.22811 | − | 0.892277i | ||||
\(248\) | 14.7642 | + | 10.7268i | 0.937530 | + | 0.681156i | ||||
\(249\) | 0.0453396 | − | 0.139541i | 0.00287328 | − | 0.00884304i | ||||
\(250\) | 0.226467 | + | 0.696995i | 0.0143231 | + | 0.0440818i | ||||
\(251\) | −1.53636 | + | 1.11623i | −0.0969742 | + | 0.0704559i | −0.635216 | − | 0.772335i | \(-0.719089\pi\) |
0.538242 | + | 0.842791i | \(0.319089\pi\) | |||||||
\(252\) | 0.583340 | 0.0367469 | ||||||||
\(253\) | −1.22378 | − | 5.46261i | −0.0769382 | − | 0.343431i | ||||
\(254\) | 0.0888862 | 0.00557722 | ||||||||
\(255\) | 0.0286716 | − | 0.0208311i | 0.00179548 | − | 0.00130450i | ||||
\(256\) | 3.69964 | + | 11.3863i | 0.231228 | + | 0.711646i | ||||
\(257\) | 0.396910 | − | 1.22156i | 0.0247586 | − | 0.0761991i | −0.937914 | − | 0.346868i | \(-0.887245\pi\) |
0.962672 | + | 0.270669i | \(0.0872450\pi\) | |||||||
\(258\) | −0.135404 | − | 0.0983764i | −0.00842985 | − | 0.00612465i | ||||
\(259\) | 2.41659 | + | 1.75575i | 0.150159 | + | 0.109097i | ||||
\(260\) | −2.58716 | + | 7.96246i | −0.160449 | + | 0.493811i | ||||
\(261\) | −8.71109 | − | 26.8100i | −0.539203 | − | 1.65950i | ||||
\(262\) | −1.37313 | + | 0.997639i | −0.0848324 | + | 0.0616343i | ||||
\(263\) | 21.2568 | 1.31075 | 0.655375 | − | 0.755304i | \(-0.272511\pi\) | ||||
0.655375 | + | 0.755304i | \(0.272511\pi\) | |||||||
\(264\) | 0.0655945 | + | 0.0577737i | 0.00403706 | + | 0.00355573i | ||||
\(265\) | 39.3509 | 2.41731 | ||||||||
\(266\) | 2.23980 | − | 1.62731i | 0.137331 | − | 0.0997768i | ||||
\(267\) | 0.00346658 | + | 0.0106691i | 0.000212152 | + | 0.000652935i | ||||
\(268\) | −1.48320 | + | 4.56483i | −0.0906011 | + | 0.278842i | ||||
\(269\) | 0.167278 | + | 0.121534i | 0.0101991 | + | 0.00741007i | 0.592873 | − | 0.805296i | \(-0.297994\pi\) |
−0.582674 | + | 0.812706i | \(0.697994\pi\) | |||||||
\(270\) | −0.273808 | − | 0.198934i | −0.0166635 | − | 0.0121067i | ||||
\(271\) | −7.82050 | + | 24.0690i | −0.475061 | + | 1.46209i | 0.370814 | + | 0.928707i | \(0.379079\pi\) |
−0.845875 | + | 0.533381i | \(0.820921\pi\) | |||||||
\(272\) | −1.47781 | − | 4.54824i | −0.0896055 | − | 0.275777i | ||||
\(273\) | 0.0166493 | − | 0.0120964i | 0.00100766 | − | 0.000732110i | ||||
\(274\) | 16.5644 | 1.00069 | ||||||||
\(275\) | −13.8511 | + | 8.20047i | −0.835255 | + | 0.494507i | ||||
\(276\) | −0.0101650 | −0.000611859 | ||||||||
\(277\) | 11.1915 | − | 8.13108i | 0.672431 | − | 0.488550i | −0.198407 | − | 0.980120i | \(-0.563577\pi\) |
0.870838 | + | 0.491570i | \(0.163577\pi\) | |||||||
\(278\) | 1.43343 | + | 4.41165i | 0.0859716 | + | 0.264593i | ||||
\(279\) | −7.24734 | + | 22.3050i | −0.433887 | + | 1.33537i | ||||
\(280\) | 2.16103 | + | 1.57008i | 0.129147 | + | 0.0938305i | ||||
\(281\) | −15.7974 | − | 11.4775i | −0.942393 | − | 0.684688i | 0.00660280 | − | 0.999978i | \(-0.497898\pi\) |
−0.948995 | + | 0.315290i | \(0.897898\pi\) | |||||||
\(282\) | −0.0225171 | + | 0.0693005i | −0.00134087 | + | 0.00412678i | ||||
\(283\) | 2.11190 | + | 6.49975i | 0.125539 | + | 0.386370i | 0.993999 | − | 0.109390i | \(-0.0348896\pi\) |
−0.868460 | + | 0.495760i | \(0.834890\pi\) | |||||||
\(284\) | 2.55888 | − | 1.85914i | 0.151842 | − | 0.110319i | ||||
\(285\) | −0.169098 | −0.0100165 | ||||||||
\(286\) | 26.2797 | + | 2.47151i | 1.55395 | + | 0.146143i | ||||
\(287\) | 0.809287 | 0.0477707 | ||||||||
\(288\) | −7.14301 | + | 5.18970i | −0.420906 | + | 0.305806i | ||||
\(289\) | 0.309017 | + | 0.951057i | 0.0181775 | + | 0.0559445i | ||||
\(290\) | −14.5082 | + | 44.6517i | −0.851953 | + | 2.62204i | ||||
\(291\) | −0.117198 | − | 0.0851494i | −0.00687028 | − | 0.00499155i | ||||
\(292\) | 3.17267 | + | 2.30508i | 0.185667 | + | 0.134895i | ||||
\(293\) | −0.542866 | + | 1.67077i | −0.0317146 | + | 0.0976075i | −0.965661 | − | 0.259806i | \(-0.916341\pi\) |
0.933946 | + | 0.357414i | \(0.116341\pi\) | |||||||
\(294\) | −0.0381340 | − | 0.117364i | −0.00222402 | − | 0.00684483i | ||||
\(295\) | 9.23677 | − | 6.71091i | 0.537786 | − | 0.390724i | ||||
\(296\) | −19.1272 | −1.11175 | ||||||||
\(297\) | −0.0891279 | + | 0.206233i | −0.00517173 | + | 0.0119668i | ||||
\(298\) | −14.4150 | −0.835039 | ||||||||
\(299\) | 6.82776 | − | 4.96066i | 0.394860 | − | 0.286882i | ||||
\(300\) | 0.00903212 | + | 0.0277980i | 0.000521470 | + | 0.00160492i | ||||
\(301\) | −1.04918 | + | 3.22905i | −0.0604739 | + | 0.186120i | ||||
\(302\) | 26.0969 | + | 18.9605i | 1.50171 | + | 1.09105i | ||||
\(303\) | 0.0651524 | + | 0.0473360i | 0.00374291 | + | 0.00271938i | ||||
\(304\) | −7.05123 | + | 21.7015i | −0.404416 | + | 1.24466i | ||||
\(305\) | −5.57873 | − | 17.1696i | −0.319437 | − | 0.983126i | ||||
\(306\) | 3.86290 | − | 2.80656i | 0.220827 | − | 0.160441i | ||||
\(307\) | −18.4396 | −1.05240 | −0.526201 | − | 0.850360i | \(-0.676384\pi\) | ||||
−0.526201 | + | 0.850360i | \(0.676384\pi\) | |||||||
\(308\) | −0.255851 | + | 0.592013i | −0.0145785 | + | 0.0337331i | ||||
\(309\) | 0.145243 | 0.00826259 | ||||||||
\(310\) | 31.6006 | − | 22.9592i | 1.79479 | − | 1.30399i | ||||
\(311\) | −5.83674 | − | 17.9636i | −0.330971 | − | 1.01862i | −0.968673 | − | 0.248341i | \(-0.920115\pi\) |
0.637702 | − | 0.770284i | \(-0.279885\pi\) | |||||||
\(312\) | −0.0407220 | + | 0.125329i | −0.00230543 | + | 0.00709538i | ||||
\(313\) | −1.65974 | − | 1.20587i | −0.0938142 | − | 0.0681600i | 0.539889 | − | 0.841736i | \(-0.318466\pi\) |
−0.633704 | + | 0.773576i | \(0.718466\pi\) | |||||||
\(314\) | 2.26301 | + | 1.64417i | 0.127709 | + | 0.0927861i | ||||
\(315\) | −1.06079 | + | 3.26477i | −0.0597687 | + | 0.183949i | ||||
\(316\) | −1.16156 | − | 3.57491i | −0.0653428 | − | 0.201105i | ||||
\(317\) | −14.0184 | + | 10.1849i | −0.787349 | + | 0.572043i | −0.907176 | − | 0.420752i | \(-0.861766\pi\) |
0.119826 | + | 0.992795i | \(0.461766\pi\) | |||||||
\(318\) | −0.225278 | −0.0126330 | ||||||||
\(319\) | 31.0293 | + | 2.91818i | 1.73731 | + | 0.163387i | ||||
\(320\) | −15.3183 | −0.856317 | ||||||||
\(321\) | −0.0153143 | + | 0.0111265i | −0.000854761 | + | 0.000621020i | ||||
\(322\) | 0.302639 | + | 0.931428i | 0.0168654 | + | 0.0519065i | ||||
\(323\) | 1.47444 | − | 4.53787i | 0.0820402 | − | 0.252494i | ||||
\(324\) | −3.88339 | − | 2.82145i | −0.215744 | − | 0.156747i | ||||
\(325\) | −19.6327 | − | 14.2640i | −1.08903 | − | 0.791224i | ||||
\(326\) | 8.32991 | − | 25.6368i | 0.461351 | − | 1.41989i | ||||
\(327\) | 0.0309379 | + | 0.0952170i | 0.00171087 | + | 0.00526551i | ||||
\(328\) | −4.19245 | + | 3.04599i | −0.231489 | + | 0.168187i | ||||
\(329\) | 1.47818 | 0.0814946 | ||||||||
\(330\) | 0.160988 | − | 0.0953119i | 0.00886211 | − | 0.00524675i | ||||
\(331\) | 24.8844 | 1.36777 | 0.683885 | − | 0.729590i | \(-0.260289\pi\) | ||||
0.683885 | + | 0.729590i | \(0.260289\pi\) | |||||||
\(332\) | −5.60810 | + | 4.07453i | −0.307785 | + | 0.223619i | ||||
\(333\) | −7.59586 | − | 23.3777i | −0.416251 | − | 1.28109i | ||||
\(334\) | 1.42277 | − | 4.37883i | 0.0778504 | − | 0.239599i | ||||
\(335\) | −22.8508 | − | 16.6021i | −1.24847 | − | 0.907069i | ||||
\(336\) | −0.0159239 | − | 0.0115694i | −0.000868721 | − | 0.000631163i | ||||
\(337\) | −6.26447 | + | 19.2801i | −0.341248 | + | 1.05025i | 0.622314 | + | 0.782767i | \(0.286193\pi\) |
−0.963562 | + | 0.267485i | \(0.913807\pi\) | |||||||
\(338\) | 5.90301 | + | 18.1676i | 0.321081 | + | 0.988187i | ||||
\(339\) | −0.0730592 | + | 0.0530806i | −0.00396803 | + | 0.00288294i | ||||
\(340\) | −1.67439 | −0.0908067 | ||||||||
\(341\) | −19.4580 | − | 17.1380i | −1.05371 | − | 0.928076i | ||||
\(342\) | −22.7825 | −1.23194 | ||||||||
\(343\) | −4.08974 | + | 2.97137i | −0.220825 | + | 0.160439i | ||||
\(344\) | −6.71829 | − | 20.6768i | −0.362226 | − | 1.11482i | ||||
\(345\) | 0.0184847 | − | 0.0568902i | 0.000995185 | − | 0.00306287i | ||||
\(346\) | −8.46282 | − | 6.14860i | −0.454964 | − | 0.330551i | ||||
\(347\) | 25.4175 | + | 18.4669i | 1.36448 | + | 0.991356i | 0.998145 | + | 0.0608745i | \(0.0193889\pi\) |
0.366339 | + | 0.930481i | \(0.380611\pi\) | |||||||
\(348\) | 0.0174879 | − | 0.0538223i | 0.000937452 | − | 0.00288518i | ||||
\(349\) | 1.27756 | + | 3.93193i | 0.0683864 | + | 0.210472i | 0.979410 | − | 0.201884i | \(-0.0647063\pi\) |
−0.911023 | + | 0.412355i | \(0.864706\pi\) | |||||||
\(350\) | 2.27825 | − | 1.65525i | 0.121778 | − | 0.0884768i | ||||
\(351\) | −0.338710 | −0.0180790 | ||||||||
\(352\) | −2.13396 | − | 9.52541i | −0.113740 | − | 0.507706i | ||||
\(353\) | −10.2593 | −0.546048 | −0.273024 | − | 0.962007i | \(-0.588024\pi\) | ||||
−0.273024 | + | 0.962007i | \(0.588024\pi\) | |||||||
\(354\) | −0.0528792 | + | 0.0384190i | −0.00281050 | + | 0.00204195i | ||||
\(355\) | 5.75175 | + | 17.7021i | 0.305271 | + | 0.939528i | ||||
\(356\) | 0.163782 | − | 0.504068i | 0.00868041 | − | 0.0267155i | ||||
\(357\) | 0.00332976 | + | 0.00241921i | 0.000176230 | + | 0.000128038i | ||||
\(358\) | 0.247238 | + | 0.179629i | 0.0130670 | + | 0.00949370i | ||||
\(359\) | −0.301624 | + | 0.928303i | −0.0159191 | + | 0.0489939i | −0.958701 | − | 0.284417i | \(-0.908200\pi\) |
0.942781 | + | 0.333411i | \(0.108200\pi\) | |||||||
\(360\) | −6.79261 | − | 20.9055i | −0.358002 | − | 1.10182i | ||||
\(361\) | −3.04696 | + | 2.21375i | −0.160366 | + | 0.116513i | ||||
\(362\) | 30.1566 | 1.58500 | ||||||||
\(363\) | −0.0851021 | − | 0.0904512i | −0.00446670 | − | 0.00474746i | ||||
\(364\) | −0.972304 | −0.0509626 | ||||||||
\(365\) | −18.6703 | + | 13.5647i | −0.977247 | + | 0.710011i | ||||
\(366\) | 0.0319374 | + | 0.0982933i | 0.00166940 | + | 0.00513787i | ||||
\(367\) | −7.48352 | + | 23.0319i | −0.390637 | + | 1.20226i | 0.541671 | + | 0.840590i | \(0.317792\pi\) |
−0.932308 | + | 0.361665i | \(0.882208\pi\) | |||||||
\(368\) | −6.53028 | − | 4.74452i | −0.340414 | − | 0.247325i | ||||
\(369\) | −5.38779 | − | 3.91446i | −0.280477 | − | 0.203779i | ||||
\(370\) | −12.6508 | + | 38.9352i | −0.657685 | + | 2.02415i | ||||
\(371\) | 1.41221 | + | 4.34633i | 0.0733181 | + | 0.225650i | ||||
\(372\) | −0.0380908 | + | 0.0276746i | −0.00197491 | + | 0.00143486i | ||||
\(373\) | 16.3450 | 0.846311 | 0.423155 | − | 0.906057i | \(-0.360922\pi\) | ||||
0.423155 | + | 0.906057i | \(0.360922\pi\) | |||||||
\(374\) | 1.15403 | + | 5.15129i | 0.0596736 | + | 0.266367i | ||||
\(375\) | 0.00519844 | 0.000268446 | ||||||||
\(376\) | −7.65759 | + | 5.56356i | −0.394910 | + | 0.286919i | ||||
\(377\) | 14.5196 | + | 44.6866i | 0.747796 | + | 2.30148i | ||||
\(378\) | 0.0121460 | − | 0.0373815i | 0.000624723 | − | 0.00192270i | ||||
\(379\) | −5.37438 | − | 3.90472i | −0.276063 | − | 0.200572i | 0.441135 | − | 0.897441i | \(-0.354576\pi\) |
−0.717199 | + | 0.696869i | \(0.754576\pi\) | |||||||
\(380\) | 6.46339 | + | 4.69593i | 0.331565 | + | 0.240896i | ||||
\(381\) | 0.000194835 | 0 | 0.000599640i | 9.98169e−6 | 0 | 3.07205e-5i | ||||
\(382\) | −8.15114 | − | 25.0866i | −0.417049 | − | 1.28354i | ||||
\(383\) | −1.98010 | + | 1.43863i | −0.101178 | + | 0.0735104i | −0.637224 | − | 0.770679i | \(-0.719917\pi\) |
0.536046 | + | 0.844189i | \(0.319917\pi\) | |||||||
\(384\) | 0.154154 | 0.00786663 | ||||||||
\(385\) | −2.84806 | − | 2.50848i | −0.145150 | − | 0.127844i | ||||
\(386\) | −15.9436 | −0.811506 | ||||||||
\(387\) | 22.6036 | − | 16.4224i | 1.14900 | − | 0.834800i | ||||
\(388\) | 2.11499 | + | 6.50927i | 0.107372 | + | 0.330458i | ||||
\(389\) | 5.56665 | − | 17.1324i | 0.282240 | − | 0.868646i | −0.704972 | − | 0.709235i | \(-0.749040\pi\) |
0.987212 | − | 0.159411i | \(-0.0509595\pi\) | |||||||
\(390\) | 0.228186 | + | 0.165787i | 0.0115546 | + | 0.00839493i | ||||
\(391\) | 1.36551 | + | 0.992101i | 0.0690568 | + | 0.0501727i | ||||
\(392\) | 4.95355 | − | 15.2455i | 0.250192 | − | 0.770012i | ||||
\(393\) | 0.00372037 | + | 0.0114501i | 0.000187668 | + | 0.000577583i | ||||
\(394\) | 2.91851 | − | 2.12042i | 0.147032 | − | 0.106825i | ||||
\(395\) | 22.1200 | 1.11298 | ||||||||
\(396\) | 4.56684 | − | 2.70376i | 0.229492 | − | 0.135869i | ||||
\(397\) | 8.93729 | 0.448550 | 0.224275 | − | 0.974526i | \(-0.427999\pi\) | ||||
0.224275 | + | 0.974526i | \(0.427999\pi\) | |||||||
\(398\) | −11.0630 | + | 8.03771i | −0.554536 | + | 0.402894i | ||||
\(399\) | −0.00606853 | − | 0.0186770i | −0.000303807 | − | 0.000935020i | ||||
\(400\) | −7.17229 | + | 22.0740i | −0.358614 | + | 1.10370i | ||||
\(401\) | 13.0041 | + | 9.44805i | 0.649395 | + | 0.471813i | 0.863065 | − | 0.505093i | \(-0.168542\pi\) |
−0.213670 | + | 0.976906i | \(0.568542\pi\) | |||||||
\(402\) | 0.130818 | + | 0.0950446i | 0.00652459 | + | 0.00474039i | ||||
\(403\) | 12.0798 | − | 37.1778i | 0.601737 | − | 1.85196i | ||||
\(404\) | −1.17576 | − | 3.61861i | −0.0584962 | − | 0.180033i | ||||
\(405\) | 22.8526 | − | 16.6034i | 1.13556 | − | 0.825030i | ||||
\(406\) | −5.45247 | −0.270602 | ||||||||
\(407\) | 27.0568 | + | 2.54458i | 1.34115 | + | 0.126130i | ||||
\(408\) | −0.0263550 | −0.00130477 | ||||||||
\(409\) | −5.52798 | + | 4.01631i | −0.273341 | + | 0.198594i | −0.716008 | − | 0.698092i | \(-0.754033\pi\) |
0.442667 | + | 0.896686i | \(0.354033\pi\) | |||||||
\(410\) | 3.42750 | + | 10.5487i | 0.169272 | + | 0.520966i | ||||
\(411\) | 0.0363084 | − | 0.111746i | 0.00179096 | − | 0.00551201i | ||||
\(412\) | −5.55158 | − | 4.03346i | −0.273507 | − | 0.198714i | ||||
\(413\) | 1.07271 | + | 0.779369i | 0.0527845 | + | 0.0383502i | ||||
\(414\) | 2.49044 | − | 7.66478i | 0.122398 | − | 0.376703i | ||||
\(415\) | −12.6057 | − | 38.7963i | −0.618788 | − | 1.90443i | ||||
\(416\) | 11.9059 | − | 8.65014i | 0.583735 | − | 0.424108i | ||||
\(417\) | 0.0329037 | 0.00161130 | ||||||||
\(418\) | 9.99236 | − | 23.1213i | 0.488742 | − | 1.13090i | ||||
\(419\) | −38.2885 | −1.87052 | −0.935258 | − | 0.353966i | \(-0.884833\pi\) | ||||
−0.935258 | + | 0.353966i | \(0.884833\pi\) | |||||||
\(420\) | −0.00557533 | + | 0.00405071i | −0.000272048 | + | 0.000197654i | ||||
\(421\) | −5.96412 | − | 18.3557i | −0.290673 | − | 0.894600i | −0.984641 | − | 0.174594i | \(-0.944139\pi\) |
0.693967 | − | 0.720006i | \(-0.255861\pi\) | |||||||
\(422\) | 10.5891 | − | 32.5900i | 0.515472 | − | 1.58646i | ||||
\(423\) | −9.84089 | − | 7.14983i | −0.478481 | − | 0.347636i | ||||
\(424\) | −23.6745 | − | 17.2005i | −1.14974 | − | 0.835332i | ||||
\(425\) | 1.49976 | − | 4.61578i | 0.0727489 | − | 0.223898i | ||||
\(426\) | −0.0329280 | − | 0.101342i | −0.00159536 | − | 0.00491003i | ||||
\(427\) | 1.69618 | − | 1.23235i | 0.0820839 | − | 0.0596374i | ||||
\(428\) | 0.894341 | 0.0432296 | ||||||||
\(429\) | 0.0742772 | − | 0.171870i | 0.00358614 | − | 0.00829794i | ||||
\(430\) | −46.5330 | −2.24402 | ||||||||
\(431\) | −27.3054 | + | 19.8385i | −1.31525 | + | 0.955587i | −0.315275 | + | 0.949001i | \(0.602097\pi\) |
−0.999978 | + | 0.00658663i | \(0.997903\pi\) | |||||||
\(432\) | 0.100107 | + | 0.308097i | 0.00481639 | + | 0.0148233i | ||||
\(433\) | −5.28554 | + | 16.2672i | −0.254007 | + | 0.781753i | 0.740017 | + | 0.672588i | \(0.234817\pi\) |
−0.994024 | + | 0.109164i | \(0.965183\pi\) | |||||||
\(434\) | 3.66992 | + | 2.66635i | 0.176162 | + | 0.127989i | ||||
\(435\) | 0.269426 | + | 0.195749i | 0.0129180 | + | 0.00938546i | ||||
\(436\) | 1.46168 | − | 4.49860i | 0.0700020 | − | 0.215444i | ||||
\(437\) | −2.48866 | − | 7.65930i | −0.119049 | − | 0.366394i | ||||
\(438\) | 0.106885 | − | 0.0776563i | 0.00510715 | − | 0.00371056i | ||||
\(439\) | 29.1790 | 1.39264 | 0.696318 | − | 0.717733i | \(-0.254820\pi\) | ||||
0.696318 | + | 0.717733i | \(0.254820\pi\) | |||||||
\(440\) | 24.1956 | + | 2.27550i | 1.15348 | + | 0.108480i | ||||
\(441\) | 20.6004 | 0.980973 | ||||||||
\(442\) | −6.43865 | + | 4.67795i | −0.306255 | + | 0.222507i | ||||
\(443\) | −2.73559 | − | 8.41928i | −0.129972 | − | 0.400012i | 0.864802 | − | 0.502112i | \(-0.167444\pi\) |
−0.994774 | + | 0.102101i | \(0.967444\pi\) | |||||||
\(444\) | 0.0152491 | − | 0.0469318i | 0.000723688 | − | 0.00222728i | ||||
\(445\) | 2.52328 | + | 1.83327i | 0.119615 | + | 0.0869054i | ||||
\(446\) | 14.0387 | + | 10.1997i | 0.664750 | + | 0.482969i | ||||
\(447\) | −0.0315971 | + | 0.0972458i | −0.00149449 | + | 0.00459957i | ||||
\(448\) | −0.549735 | − | 1.69191i | −0.0259725 | − | 0.0799352i | ||||
\(449\) | −3.64510 | + | 2.64832i | −0.172023 | + | 0.124982i | −0.670465 | − | 0.741941i | \(-0.733905\pi\) |
0.498443 | + | 0.866923i | \(0.333905\pi\) | |||||||
\(450\) | −23.1737 | −1.09242 | ||||||||
\(451\) | 6.33573 | − | 3.75103i | 0.298338 | − | 0.176629i | ||||
\(452\) | 4.26658 | 0.200683 | ||||||||
\(453\) | 0.185113 | − | 0.134493i | 0.00869738 | − | 0.00631902i | ||||
\(454\) | 2.10506 | + | 6.47870i | 0.0987952 | + | 0.304061i | ||||
\(455\) | 1.76811 | − | 5.44169i | 0.0828904 | − | 0.255110i | ||||
\(456\) | 0.101734 | + | 0.0739141i | 0.00476413 | + | 0.00346135i | ||||
\(457\) | 20.8441 | + | 15.1441i | 0.975047 | + | 0.708413i | 0.956596 | − | 0.291417i | \(-0.0941267\pi\) |
0.0184504 | + | 0.999830i | \(0.494127\pi\) | |||||||
\(458\) | 7.82868 | − | 24.0942i | 0.365810 | − | 1.12585i | ||||
\(459\) | −0.0209328 | − | 0.0644245i | −0.000977059 | − | 0.00300708i | ||||
\(460\) | −2.28640 | + | 1.66117i | −0.106604 | + | 0.0774523i | ||||
\(461\) | 14.3574 | 0.668691 | 0.334346 | − | 0.942451i | \(-0.391485\pi\) | ||||
0.334346 | + | 0.942451i | \(0.391485\pi\) | |||||||
\(462\) | 0.0163047 | + | 0.0143607i | 0.000758564 | + | 0.000668121i | ||||
\(463\) | 15.6118 | 0.725541 | 0.362771 | − | 0.931879i | \(-0.381831\pi\) | ||||
0.362771 | + | 0.931879i | \(0.381831\pi\) | |||||||
\(464\) | 36.3565 | − | 26.4145i | 1.68781 | − | 1.22626i | ||||
\(465\) | −0.0856189 | − | 0.263508i | −0.00397048 | − | 0.0122199i | ||||
\(466\) | 7.13662 | − | 21.9642i | 0.330597 | − | 1.01747i | ||||
\(467\) | 5.81360 | + | 4.22383i | 0.269021 | + | 0.195455i | 0.714115 | − | 0.700029i | \(-0.246830\pi\) |
−0.445093 | + | 0.895484i | \(0.646830\pi\) | |||||||
\(468\) | 6.47307 | + | 4.70296i | 0.299218 | + | 0.217394i | ||||
\(469\) | 1.01365 | − | 3.11969i | 0.0468060 | − | 0.144054i | ||||
\(470\) | 6.26038 | + | 19.2675i | 0.288770 | + | 0.888742i | ||||
\(471\) | 0.0160523 | − | 0.0116627i | 0.000739649 | − | 0.000537387i | ||||
\(472\) | −8.49047 | −0.390806 | ||||||||
\(473\) | 6.75276 | + | 30.1425i | 0.310492 | + | 1.38595i | ||||
\(474\) | −0.126634 | −0.00581648 | ||||||||
\(475\) | −18.7345 | + | 13.6114i | −0.859598 | + | 0.624534i | ||||
\(476\) | −0.0600898 | − | 0.184937i | −0.00275421 | − | 0.00847660i | ||||
\(477\) | 11.6211 | − | 35.7662i | 0.532095 | − | 1.63762i | ||||
\(478\) | −7.43234 | − | 5.39991i | −0.339947 | − | 0.246986i | ||||
\(479\) | −18.6826 | − | 13.5737i | −0.853629 | − | 0.620197i | 0.0725155 | − | 0.997367i | \(-0.476897\pi\) |
−0.926144 | + | 0.377170i | \(0.876897\pi\) | |||||||
\(480\) | 0.0322327 | − | 0.0992022i | 0.00147122 | − | 0.00452794i | ||||
\(481\) | 12.6607 | + | 38.9656i | 0.577279 | + | 1.77668i | ||||
\(482\) | −19.3967 | + | 14.0925i | −0.883494 | + | 0.641896i | ||||
\(483\) | 0.00694693 | 0.000316096 | ||||||||
\(484\) | 0.740961 | + | 5.82060i | 0.0336801 | + | 0.264573i | ||||
\(485\) | −40.2765 | −1.82886 | ||||||||
\(486\) | −0.392512 | + | 0.285177i | −0.0178047 | + | 0.0129359i | ||||
\(487\) | 0.417602 | + | 1.28525i | 0.0189234 | + | 0.0582401i | 0.960072 | − | 0.279752i | \(-0.0902523\pi\) |
−0.941149 | + | 0.337992i | \(0.890252\pi\) | |||||||
\(488\) | −4.14862 | + | 12.7681i | −0.187799 | + | 0.577987i | ||||
\(489\) | −0.154691 | − | 0.112390i | −0.00699537 | − | 0.00508244i | ||||
\(490\) | −27.7572 | − | 20.1668i | −1.25394 | − | 0.911043i | ||||
\(491\) | 10.8012 | − | 33.2426i | 0.487450 | − | 1.50022i | −0.340951 | − | 0.940081i | \(-0.610749\pi\) |
0.828401 | − | 0.560136i | \(-0.189251\pi\) | |||||||
\(492\) | −0.00413144 | − | 0.0127153i | −0.000186260 | − | 0.000573248i | ||||
\(493\) | −7.60230 | + | 5.52340i | −0.342391 | + | 0.248761i | ||||
\(494\) | 37.9737 | 1.70852 | ||||||||
\(495\) | 6.82746 | + | 30.4759i | 0.306871 | + | 1.36979i | ||||
\(496\) | −37.3878 | −1.67876 | ||||||||
\(497\) | −1.74879 | + | 1.27057i | −0.0784438 | + | 0.0569927i | ||||
\(498\) | 0.0721657 | + | 0.222103i | 0.00323382 | + | 0.00995268i | ||||
\(499\) | −1.70016 | + | 5.23256i | −0.0761097 | + | 0.234242i | −0.981872 | − | 0.189544i | \(-0.939299\pi\) |
0.905762 | + | 0.423786i | \(0.139299\pi\) | |||||||
\(500\) | −0.198698 | − | 0.144363i | −0.00888605 | − | 0.00645609i | ||||
\(501\) | −0.0264216 | − | 0.0191964i | −0.00118043 | − | 0.000857633i | ||||
\(502\) | 0.934052 | − | 2.87472i | 0.0416888 | − | 0.128305i | ||||
\(503\) | −12.3627 | − | 38.0486i | −0.551227 | − | 1.69650i | −0.705704 | − | 0.708506i | \(-0.749369\pi\) |
0.154477 | − | 0.987996i | \(-0.450631\pi\) | |||||||
\(504\) | 2.06525 | − | 1.50049i | 0.0919937 | − | 0.0668373i | ||||
\(505\) | 22.3904 | 0.996358 | ||||||||
\(506\) | 6.68644 | + | 5.88922i | 0.297249 | + | 0.261808i | ||||
\(507\) | 0.135500 | 0.00601779 | ||||||||
\(508\) | −0.0240993 | + | 0.0175092i | −0.00106923 | + | 0.000776844i | ||||
\(509\) | −0.0632846 | − | 0.194770i | −0.00280504 | − | 0.00863303i | 0.949644 | − | 0.313330i | \(-0.101445\pi\) |
−0.952449 | + | 0.304697i | \(0.901445\pi\) | |||||||
\(510\) | −0.0174313 | + | 0.0536480i | −0.000771871 | + | 0.00237557i | ||||
\(511\) | −2.16826 | − | 1.57534i | −0.0959183 | − | 0.0696888i | ||||
\(512\) | 6.67562 | + | 4.85012i | 0.295024 | + | 0.214347i | ||||
\(513\) | −0.0998787 | + | 0.307395i | −0.00440975 | + | 0.0135718i | ||||
\(514\) | 0.631751 | + | 1.94433i | 0.0278653 | + | 0.0857607i | ||||
\(515\) | 32.6694 | − | 23.7357i | 1.43959 | − | 1.04592i | ||||
\(516\) | 0.0560899 | 0.00246922 | ||||||||
\(517\) | 11.5723 | − | 6.85132i | 0.508950 | − | 0.301321i | ||||
\(518\) | −4.75442 | −0.208897 | ||||||||
\(519\) | −0.0600295 | + | 0.0436140i | −0.00263500 | + | 0.00191444i | ||||
\(520\) | 11.3219 | + | 34.8451i | 0.496496 | + | 1.52806i | ||||
\(521\) | −12.5964 | + | 38.7678i | −0.551859 | + | 1.69845i | 0.152238 | + | 0.988344i | \(0.451352\pi\) |
−0.704097 | + | 0.710104i | \(0.748648\pi\) | |||||||
\(522\) | 36.2996 | + | 26.3732i | 1.58879 | + | 1.15432i | ||||
\(523\) | −15.5638 | − | 11.3078i | −0.680559 | − | 0.494455i | 0.192984 | − | 0.981202i | \(-0.438183\pi\) |
−0.873543 | + | 0.486747i | \(0.838183\pi\) | |||||||
\(524\) | 0.175772 | − | 0.540970i | 0.00767863 | − | 0.0236324i | ||||
\(525\) | −0.00617272 | − | 0.0189977i | −0.000269400 | − | 0.000829127i | ||||
\(526\) | −27.3721 | + | 19.8870i | −1.19348 | + | 0.867115i | ||||
\(527\) | 7.81796 | 0.340556 | ||||||||
\(528\) | −0.178289 | − | 0.0167673i | −0.00775902 | − | 0.000729705i | ||||
\(529\) | −20.1511 | −0.876136 | ||||||||
\(530\) | −50.6717 | + | 36.8151i | −2.20104 | + | 1.59915i | ||||
\(531\) | −3.37176 | − | 10.3772i | −0.146322 | − | 0.450333i | ||||
\(532\) | −0.286713 | + | 0.882411i | −0.0124306 | + | 0.0382574i | ||||
\(533\) | 8.98031 | + | 6.52458i | 0.388980 | + | 0.282611i | ||||
\(534\) | −0.0144454 | − | 0.0104952i | −0.000625115 | − | 0.000454172i | ||||
\(535\) | −1.62634 | + | 5.00535i | −0.0703127 | + | 0.216400i | ||||
\(536\) | 6.49076 | + | 19.9765i | 0.280358 | + | 0.862853i | ||||
\(537\) | 0.00175374 | − | 0.00127417i | 7.56795e−5 | − | 5.49844e-5i | ||||
\(538\) | −0.329104 | −0.0141887 | ||||||||
\(539\) | −9.03530 | + | 20.9067i | −0.389178 | + | 0.900517i | ||||
\(540\) | 0.113423 | 0.00488096 | ||||||||
\(541\) | −16.8343 | + | 12.2309i | −0.723764 | + | 0.525845i | −0.887585 | − | 0.460645i | \(-0.847618\pi\) |
0.163820 | + | 0.986490i | \(0.447618\pi\) | |||||||
\(542\) | −12.4477 | − | 38.3099i | −0.534673 | − | 1.64555i | ||||
\(543\) | 0.0661020 | − | 0.203441i | 0.00283671 | − | 0.00873049i | ||||
\(544\) | 2.38111 | + | 1.72997i | 0.102089 | + | 0.0741720i | ||||
\(545\) | 22.5193 | + | 16.3612i | 0.964619 | + | 0.700837i | ||||
\(546\) | −0.0101222 | + | 0.0311529i | −0.000433190 | + | 0.00133322i | ||||
\(547\) | 6.59780 | + | 20.3059i | 0.282102 | + | 0.868219i | 0.987252 | + | 0.159162i | \(0.0508792\pi\) |
−0.705151 | + | 0.709057i | \(0.749121\pi\) | |||||||
\(548\) | −4.49102 | + | 3.26292i | −0.191847 | + | 0.139385i | ||||
\(549\) | −17.2530 | −0.736339 | ||||||||
\(550\) | 10.1639 | − | 23.5182i | 0.433391 | − | 1.00282i | ||||
\(551\) | 44.8367 | 1.91011 | ||||||||
\(552\) | −0.0359880 | + | 0.0261468i | −0.00153175 | + | 0.00111288i | ||||
\(553\) | 0.793831 | + | 2.44316i | 0.0337571 | + | 0.103894i | ||||
\(554\) | −6.80402 | + | 20.9406i | −0.289075 | + | 0.889681i | ||||
\(555\) | 0.234933 | + | 0.170689i | 0.00997234 | + | 0.00724533i | ||||
\(556\) | −1.25767 | − | 0.913748i | −0.0533369 | − | 0.0387515i | ||||
\(557\) | −13.8399 | + | 42.5950i | −0.586417 | + | 1.80481i | 0.00708505 | + | 0.999975i | \(0.497745\pi\) |
−0.593502 | + | 0.804832i | \(0.702255\pi\) | |||||||
\(558\) | −11.5354 | − | 35.5022i | −0.488331 | − | 1.50293i | ||||
\(559\) | −37.6754 | + | 27.3728i | −1.59350 | + | 1.15774i | ||||
\(560\) | −5.47244 | −0.231253 | ||||||||
\(561\) | 0.0372809 | + | 0.00350613i | 0.00157400 | + | 0.000148029i | ||||
\(562\) | 31.0800 | 1.31103 | ||||||||
\(563\) | 12.3526 | − | 8.97469i | 0.520600 | − | 0.378238i | −0.296230 | − | 0.955117i | \(-0.595729\pi\) |
0.816830 | + | 0.576879i | \(0.195729\pi\) | |||||||
\(564\) | −0.00754614 | − | 0.0232246i | −0.000317750 | − | 0.000977934i | ||||
\(565\) | −7.75868 | + | 23.8788i | −0.326410 | + | 1.00459i | ||||
\(566\) | −8.80038 | − | 6.39385i | −0.369908 | − | 0.268754i | ||||
\(567\) | 2.65398 | + | 1.92823i | 0.111457 | + | 0.0809780i | ||||
\(568\) | 4.27729 | − | 13.1642i | 0.179471 | − | 0.552356i | ||||
\(569\) | −0.632495 | − | 1.94662i | −0.0265156 | − | 0.0816066i | 0.936923 | − | 0.349536i | \(-0.113661\pi\) |
−0.963439 | + | 0.267929i | \(0.913661\pi\) | |||||||
\(570\) | 0.217746 | − | 0.158202i | 0.00912039 | − | 0.00662635i | ||||
\(571\) | −24.7020 | −1.03375 | −0.516874 | − | 0.856062i | \(-0.672904\pi\) | ||||
−0.516874 | + | 0.856062i | \(0.672904\pi\) | |||||||
\(572\) | −7.61195 | + | 4.50661i | −0.318272 | + | 0.188431i | ||||
\(573\) | −0.187105 | −0.00781643 | ||||||||
\(574\) | −1.04211 | + | 0.757137i | −0.0434968 | + | 0.0316023i | ||||
\(575\) | −2.53139 | − | 7.79080i | −0.105566 | − | 0.324899i | ||||
\(576\) | −4.52380 | + | 13.9228i | −0.188492 | + | 0.580118i | ||||
\(577\) | 19.8512 | + | 14.4227i | 0.826416 | + | 0.600426i | 0.918543 | − | 0.395321i | \(-0.129367\pi\) |
−0.0921273 | + | 0.995747i | \(0.529367\pi\) | |||||||
\(578\) | −1.28769 | − | 0.935561i | −0.0535608 | − | 0.0389142i | ||||
\(579\) | −0.0349476 | + | 0.107558i | −0.00145237 | + | 0.00446994i | ||||
\(580\) | −4.86214 | − | 14.9641i | −0.201889 | − | 0.621351i | ||||
\(581\) | 3.83268 | − | 2.78461i | 0.159006 | − | 0.115525i | ||||
\(582\) | 0.230577 | 0.00955773 | ||||||||
\(583\) | 31.2010 | + | 27.4809i | 1.29221 | + | 1.13814i | ||||
\(584\) | 17.1618 | 0.710159 | ||||||||
\(585\) | −38.0921 | + | 27.6756i | −1.57492 | + | 1.14424i | ||||
\(586\) | −0.864064 | − | 2.65932i | −0.0356942 | − | 0.109855i | ||||
\(587\) | −0.477688 | + | 1.47017i | −0.0197163 | + | 0.0606805i | −0.960431 | − | 0.278519i | \(-0.910156\pi\) |
0.940714 | + | 0.339200i | \(0.110156\pi\) | |||||||
\(588\) | 0.0334580 | + | 0.0243087i | 0.00137979 | + | 0.00100247i | ||||
\(589\) | −30.1784 | − | 21.9259i | −1.24348 | − | 0.903442i | ||||
\(590\) | −5.61563 | + | 17.2831i | −0.231192 | + | 0.711535i | ||||
\(591\) | −0.00790743 | − | 0.0243366i | −0.000325268 | − | 0.00100107i | ||||
\(592\) | 31.7020 | − | 23.0328i | 1.30294 | − | 0.946644i | ||||
\(593\) | −5.53691 | −0.227373 | −0.113687 | − | 0.993517i | \(-0.536266\pi\) | ||||
−0.113687 | + | 0.993517i | \(0.536266\pi\) | |||||||
\(594\) | −0.0781741 | − | 0.348948i | −0.00320752 | − | 0.0143175i | ||||
\(595\) | 1.14431 | 0.0469122 | ||||||||
\(596\) | 3.90828 | − | 2.83953i | 0.160089 | − | 0.116312i | ||||
\(597\) | 0.0299741 | + | 0.0922507i | 0.00122676 | + | 0.00377557i | ||||
\(598\) | −4.15104 | + | 12.7756i | −0.169748 | + | 0.522432i | ||||
\(599\) | −28.5936 | − | 20.7745i | −1.16830 | − | 0.848821i | −0.177497 | − | 0.984121i | \(-0.556800\pi\) |
−0.990805 | + | 0.135300i | \(0.956800\pi\) | |||||||
\(600\) | 0.103481 | + | 0.0751831i | 0.00422458 | + | 0.00306934i | ||||
\(601\) | 2.12799 | − | 6.54927i | 0.0868024 | − | 0.267150i | −0.898228 | − | 0.439529i | \(-0.855145\pi\) |
0.985031 | + | 0.172379i | \(0.0551453\pi\) | |||||||
\(602\) | −1.66995 | − | 5.13959i | −0.0680623 | − | 0.209474i | ||||
\(603\) | −21.8380 | + | 15.8662i | −0.889313 | + | 0.646124i | ||||
\(604\) | −10.8104 | −0.439870 | ||||||||
\(605\) | −33.9236 | − | 6.43769i | −1.37919 | − | 0.261729i | ||||
\(606\) | −0.128182 | −0.00520702 | ||||||||
\(607\) | −16.5966 | + | 12.0581i | −0.673634 | + | 0.489424i | −0.871240 | − | 0.490858i | \(-0.836684\pi\) |
0.197605 | + | 0.980282i | \(0.436684\pi\) | |||||||
\(608\) | −4.33959 | − | 13.3559i | −0.175994 | − | 0.541653i | ||||
\(609\) | −0.0119516 | + | 0.0367832i | −0.000484303 | + | 0.00149053i | ||||
\(610\) | 23.2468 | + | 16.8898i | 0.941236 | + | 0.683848i | ||||
\(611\) | 16.4027 | + | 11.9173i | 0.663582 | + | 0.482121i | ||||
\(612\) | −0.494483 | + | 1.52186i | −0.0199883 | + | 0.0615176i | ||||
\(613\) | −10.0164 | − | 30.8273i | −0.404558 | − | 1.24510i | −0.921264 | − | 0.388939i | \(-0.872842\pi\) |
0.516705 | − | 0.856163i | \(-0.327158\pi\) | |||||||
\(614\) | 23.7444 | − | 17.2513i | 0.958247 | − | 0.696207i | ||||
\(615\) | 0.0786763 | 0.00317254 | ||||||||
\(616\) | 0.616990 | + | 2.75407i | 0.0248592 | + | 0.110965i | ||||
\(617\) | −8.31960 | −0.334935 | −0.167467 | − | 0.985878i | \(-0.553559\pi\) | ||||
−0.167467 | + | 0.985878i | \(0.553559\pi\) | |||||||
\(618\) | −0.187028 | + | 0.135884i | −0.00752337 | + | 0.00546605i | ||||
\(619\) | −3.63457 | − | 11.1861i | −0.146086 | − | 0.449606i | 0.851063 | − | 0.525063i | \(-0.175958\pi\) |
−0.997149 | + | 0.0754574i | \(0.975958\pi\) | |||||||
\(620\) | −4.04513 | + | 12.4496i | −0.162456 | + | 0.499990i | ||||
\(621\) | −0.0924995 | − | 0.0672049i | −0.00371188 | − | 0.00269684i | ||||
\(622\) | 24.3220 | + | 17.6709i | 0.975222 | + | 0.708540i | ||||
\(623\) | −0.111931 | + | 0.344489i | −0.00448444 | + | 0.0138017i | ||||
\(624\) | −0.0834268 | − | 0.256761i | −0.00333974 | − | 0.0102787i | ||||
\(625\) | 20.8014 | − | 15.1131i | 0.832054 | − | 0.604523i | ||||
\(626\) | 3.26540 | 0.130512 | ||||||||
\(627\) | −0.134077 | − | 0.118091i | −0.00535451 | − | 0.00471609i | ||||
\(628\) | −0.937437 | −0.0374078 | ||||||||
\(629\) | −6.62902 | + | 4.81627i | −0.264316 | + | 0.192037i | ||||
\(630\) | −1.68843 | − | 5.19644i | −0.0672685 | − | 0.207031i | ||||
\(631\) | 14.4710 | − | 44.5372i | 0.576082 | − | 1.77300i | −0.0563838 | − | 0.998409i | \(-0.517957\pi\) |
0.632466 | − | 0.774588i | \(-0.282043\pi\) | |||||||
\(632\) | −13.3079 | − | 9.66879i | −0.529362 | − | 0.384604i | ||||
\(633\) | −0.196646 | − | 0.142872i | −0.00781599 | − | 0.00567865i | ||||
\(634\) | 8.52266 | − | 26.2300i | 0.338478 | − | 1.04173i | ||||
\(635\) | −0.0541695 | − | 0.166717i | −0.00214965 | − | 0.00661595i | ||||
\(636\) | 0.0610787 | − | 0.0443763i | 0.00242193 | − | 0.00175963i | ||||
\(637\) | −34.3366 | −1.36047 | ||||||||
\(638\) | −42.6862 | + | 25.2721i | −1.68996 | + | 1.00053i | ||||
\(639\) | 17.7881 | 0.703686 | ||||||||
\(640\) | 34.6737 | − | 25.1919i | 1.37060 | − | 0.995799i | ||||
\(641\) | −0.245277 | − | 0.754884i | −0.00968785 | − | 0.0298161i | 0.946096 | − | 0.323887i | \(-0.104990\pi\) |
−0.955784 | + | 0.294071i | \(0.904990\pi\) | |||||||
\(642\) | 0.00931055 | − | 0.0286549i | 0.000367458 | − | 0.00113092i | ||||
\(643\) | 39.5362 | + | 28.7247i | 1.55916 | + | 1.13279i | 0.936698 | + | 0.350139i | \(0.113866\pi\) |
0.622457 | + | 0.782654i | \(0.286134\pi\) | |||||||
\(644\) | −0.265530 | − | 0.192919i | −0.0104633 | − | 0.00760206i | ||||
\(645\) | −0.101998 | + | 0.313918i | −0.00401618 | + | 0.0123605i | ||||
\(646\) | 2.34683 | + | 7.22280i | 0.0923347 | + | 0.284177i | ||||
\(647\) | 25.4820 | − | 18.5138i | 1.00180 | − | 0.727851i | 0.0393273 | − | 0.999226i | \(-0.487478\pi\) |
0.962474 | + | 0.271375i | \(0.0874785\pi\) | |||||||
\(648\) | −21.0062 | −0.825201 | ||||||||
\(649\) | 12.0104 | + | 1.12953i | 0.471447 | + | 0.0443378i | ||||
\(650\) | 38.6256 | 1.51502 | ||||||||
\(651\) | 0.0260319 | − | 0.0189133i | 0.00102027 | − | 0.000741271i | ||||
\(652\) | 2.79160 | + | 8.59166i | 0.109328 | + | 0.336475i | ||||
\(653\) | 10.1644 | − | 31.2829i | 0.397765 | − | 1.22420i | −0.529022 | − | 0.848608i | \(-0.677441\pi\) |
0.926787 | − | 0.375587i | \(-0.122559\pi\) | |||||||
\(654\) | −0.128920 | − | 0.0936655i | −0.00504115 | − | 0.00366261i | ||||
\(655\) | 2.70801 | + | 1.96748i | 0.105811 | + | 0.0768760i | ||||
\(656\) | 3.28072 | − | 10.0970i | 0.128091 | − | 0.394222i | ||||
\(657\) | 6.81533 | + | 20.9754i | 0.265891 | + | 0.818330i | ||||
\(658\) | −1.90343 | + | 1.38293i | −0.0742035 | + | 0.0539120i | ||||
\(659\) | −23.8822 | −0.930320 | −0.465160 | − | 0.885227i | \(-0.654003\pi\) | ||||
−0.465160 | + | 0.885227i | \(0.654003\pi\) | |||||||
\(660\) | −0.0248730 | + | 0.0575536i | −0.000968182 | + | 0.00224027i | ||||
\(661\) | −44.2541 | −1.72129 | −0.860643 | − | 0.509209i | \(-0.829938\pi\) | ||||
−0.860643 | + | 0.509209i | \(0.829938\pi\) | |||||||
\(662\) | −32.0434 | + | 23.2809i | −1.24540 | + | 0.904837i | ||||
\(663\) | 0.0174449 | + | 0.0536899i | 0.000677504 | + | 0.00208514i | ||||
\(664\) | −9.37422 | + | 28.8509i | −0.363790 | + | 1.11963i | ||||
\(665\) | −4.41720 | − | 3.20929i | −0.171292 | − | 0.124451i | ||||
\(666\) | 31.6523 | + | 22.9968i | 1.22650 | + | 0.891106i | ||||
\(667\) | −4.90125 | + | 15.0845i | −0.189777 | + | 0.584074i | ||||
\(668\) | 0.476812 | + | 1.46748i | 0.0184484 | + | 0.0567784i | ||||
\(669\) | 0.0995807 | − | 0.0723496i | 0.00385001 | − | 0.00279720i | ||||
\(670\) | 44.9570 | 1.73684 | ||||||||
\(671\) | 7.56712 | − | 17.5095i | 0.292125 | − | 0.675947i | ||||
\(672\) | 0.0121137 | 0.000467296 | ||||||||
\(673\) | 0.653008 | − | 0.474438i | 0.0251716 | − | 0.0182882i | −0.575128 | − | 0.818063i | \(-0.695048\pi\) |
0.600300 | + | 0.799775i | \(0.295048\pi\) | |||||||
\(674\) | −9.97098 | − | 30.6875i | −0.384068 | − | 1.18204i | ||||
\(675\) | −0.101593 | + | 0.312673i | −0.00391033 | + | 0.0120348i | ||||
\(676\) | −5.17919 | − | 3.76290i | −0.199199 | − | 0.144727i | ||||
\(677\) | −27.9192 | − | 20.2845i | −1.07302 | − | 0.779596i | −0.0965690 | − | 0.995326i | \(-0.530787\pi\) |
−0.976453 | + | 0.215730i | \(0.930787\pi\) | |||||||
\(678\) | 0.0444174 | − | 0.136703i | 0.00170584 | − | 0.00525003i | ||||
\(679\) | −1.44542 | − | 4.44856i | −0.0554703 | − | 0.170720i | ||||
\(680\) | −5.92801 | + | 4.30695i | −0.227329 | + | 0.165164i | ||||
\(681\) | 0.0483205 | 0.00185164 | ||||||||
\(682\) | 41.0895 | + | 3.86430i | 1.57340 | + | 0.147972i | ||||
\(683\) | 27.2372 | 1.04220 | 0.521100 | − | 0.853495i | \(-0.325522\pi\) | ||||
0.521100 | + | 0.853495i | \(0.325522\pi\) | |||||||
\(684\) | 6.17692 | − | 4.48780i | 0.236181 | − | 0.171595i | ||||
\(685\) | −10.0947 | − | 31.0684i | −0.385700 | − | 1.18706i | ||||
\(686\) | 2.48642 | − | 7.65241i | 0.0949319 | − | 0.292170i | ||||
\(687\) | −0.145383 | − | 0.105627i | −0.00554670 | − | 0.00402992i | ||||
\(688\) | 36.0339 | + | 26.1801i | 1.37378 | + | 0.998108i | ||||
\(689\) | −19.3700 | + | 59.6147i | −0.737938 | + | 2.27114i | ||||
\(690\) | 0.0294216 | + | 0.0905505i | 0.00112006 | + | 0.00344720i | ||||
\(691\) | 24.0798 | − | 17.4950i | 0.916039 | − | 0.665542i | −0.0264956 | − | 0.999649i | \(-0.508435\pi\) |
0.942535 | + | 0.334107i | \(0.108435\pi\) | |||||||
\(692\) | 3.50566 | 0.133265 | ||||||||
\(693\) | −3.12106 | + | 1.84780i | −0.118559 | + | 0.0701922i | ||||
\(694\) | −50.0068 | −1.89823 | ||||||||
\(695\) | 7.40100 | − | 5.37714i | 0.280736 | − | 0.203967i | ||||
\(696\) | −0.0765302 | − | 0.235536i | −0.00290087 | − | 0.00892796i | ||||
\(697\) | −0.686013 | + | 2.11133i | −0.0259846 | + | 0.0799724i | ||||
\(698\) | −5.32366 | − | 3.86787i | −0.201504 | − | 0.146401i | ||||
\(699\) | −0.132531 | − | 0.0962893i | −0.00501278 | − | 0.00364200i | ||||
\(700\) | −0.291635 | + | 0.897560i | −0.0110228 | + | 0.0339246i | ||||
\(701\) | −1.35861 | − | 4.18137i | −0.0513139 | − | 0.157928i | 0.922116 | − | 0.386914i | \(-0.126459\pi\) |
−0.973430 | + | 0.228986i | \(0.926459\pi\) | |||||||
\(702\) | 0.436153 | − | 0.316884i | 0.0164616 | − | 0.0119600i | ||||
\(703\) | 39.0965 | 1.47455 | ||||||||
\(704\) | −12.1457 | − | 10.6976i | −0.457759 | − | 0.403180i | ||||
\(705\) | 0.143704 | 0.00541220 | ||||||||
\(706\) | 13.2108 | − | 9.59820i | 0.497195 | − | 0.361233i | ||||
\(707\) | 0.803535 | + | 2.47303i | 0.0302201 | + | 0.0930078i | ||||
\(708\) | 0.00676897 | − | 0.0208327i | 0.000254393 | − | 0.000782943i | ||||
\(709\) | 13.7400 | + | 9.98269i | 0.516016 | + | 0.374908i | 0.815101 | − | 0.579319i | \(-0.196681\pi\) |
−0.299085 | + | 0.954227i | \(0.596681\pi\) | |||||||
\(710\) | −23.9678 | − | 17.4136i | −0.899496 | − | 0.653522i | ||||
\(711\) | 6.53248 | − | 20.1049i | 0.244987 | − | 0.753993i | ||||
\(712\) | −0.716736 | − | 2.20589i | −0.0268608 | − | 0.0826691i | ||||
\(713\) | 10.6755 | − | 7.75620i | 0.399800 | − | 0.290472i | ||||
\(714\) | −0.00655102 | −0.000245166 | ||||||||
\(715\) | −11.3799 | − | 50.7969i | −0.425585 | − | 1.89970i | ||||
\(716\) | −0.102417 | −0.00382749 | ||||||||
\(717\) | −0.0527200 | + | 0.0383033i | −0.00196886 | + | 0.00143046i | ||||
\(718\) | −0.480086 | − | 1.47755i | −0.0179166 | − | 0.0551418i | ||||
\(719\) | 14.5171 | − | 44.6789i | 0.541395 | − | 1.66624i | −0.188014 | − | 0.982166i | \(-0.560205\pi\) |
0.729410 | − | 0.684077i | \(-0.239795\pi\) | |||||||
\(720\) | 36.4325 | + | 26.4697i | 1.35776 | + | 0.986469i | ||||
\(721\) | 3.79405 | + | 2.75654i | 0.141298 | + | 0.102659i | ||||
\(722\) | 1.85244 | − | 5.70123i | 0.0689408 | − | 0.212178i | ||||
\(723\) | 0.0525534 | + | 0.161743i | 0.00195448 | + | 0.00601528i | ||||
\(724\) | −8.17623 | + | 5.94038i | −0.303867 | + | 0.220773i | ||||
\(725\) | 45.6064 | 1.69378 | ||||||||
\(726\) | 0.194208 | + | 0.0368549i | 0.00720772 | + | 0.00136781i | ||||
\(727\) | −38.8372 | −1.44039 | −0.720197 | − | 0.693770i | \(-0.755949\pi\) | ||||
−0.720197 | + | 0.693770i | \(0.755949\pi\) | |||||||
\(728\) | −3.44234 | + | 2.50101i | −0.127582 | + | 0.0926936i | ||||
\(729\) | −8.34133 | − | 25.6720i | −0.308938 | − | 0.950814i | ||||
\(730\) | 11.3509 | − | 34.9343i | 0.420114 | − | 1.29298i | ||||
\(731\) | −7.53484 | − | 5.47438i | −0.278686 | − | 0.202477i | ||||
\(732\) | −0.0280213 | − | 0.0203586i | −0.00103570 | − | 0.000752477i | ||||
\(733\) | 8.42146 | − | 25.9186i | 0.311054 | − | 0.957325i | −0.666295 | − | 0.745688i | \(-0.732121\pi\) |
0.977348 | − | 0.211636i | \(-0.0678792\pi\) | |||||||
\(734\) | −11.9113 | − | 36.6592i | −0.439654 | − | 1.35312i | ||||
\(735\) | −0.196891 | + | 0.143050i | −0.00726243 | + | 0.00527646i | ||||
\(736\) | 4.96773 | 0.183113 | ||||||||
\(737\) | −6.52405 | − | 29.1216i | −0.240317 | − | 1.07271i | ||||
\(738\) | 10.6000 | 0.390192 | ||||||||
\(739\) | 19.8216 | − | 14.4013i | 0.729151 | − | 0.529759i | −0.160144 | − | 0.987094i | \(-0.551196\pi\) |
0.889295 | + | 0.457334i | \(0.151196\pi\) | |||||||
\(740\) | −4.23966 | − | 13.0483i | −0.155853 | − | 0.479667i | ||||
\(741\) | 0.0832366 | − | 0.256176i | 0.00305777 | − | 0.00941086i | ||||
\(742\) | −5.88474 | − | 4.27551i | −0.216035 | − | 0.156959i | ||||
\(743\) | −12.3238 | − | 8.95375i | −0.452116 | − | 0.328481i | 0.338315 | − | 0.941033i | \(-0.390143\pi\) |
−0.790430 | + | 0.612552i | \(0.790143\pi\) | |||||||
\(744\) | −0.0636706 | + | 0.195958i | −0.00233428 | + | 0.00718416i | ||||
\(745\) | 8.78487 | + | 27.0370i | 0.321853 | + | 0.990561i | ||||
\(746\) | −21.0472 | + | 15.2917i | −0.770594 | + | 0.559869i | ||||
\(747\) | −38.9848 | −1.42638 | ||||||||
\(748\) | −1.32761 | − | 1.16932i | −0.0485422 | − | 0.0427546i | ||||
\(749\) | −0.611209 | −0.0223331 | ||||||||
\(750\) | −0.00669397 | + | 0.00486345i | −0.000244429 | + | 0.000177588i | ||||
\(751\) | 11.5401 | + | 35.5166i | 0.421103 | + | 1.29602i | 0.906677 | + | 0.421825i | \(0.138610\pi\) |
−0.485575 | + | 0.874195i | \(0.661390\pi\) | |||||||
\(752\) | 5.99229 | − | 18.4424i | 0.218516 | − | 0.672525i | ||||
\(753\) | −0.0173459 | − | 0.0126025i | −0.000632118 | − | 0.000459261i | ||||
\(754\) | −60.5037 | − | 43.9585i | −2.20342 | − | 1.60088i | ||||
\(755\) | 19.6585 | − | 60.5027i | 0.715447 | − | 2.20192i | ||||
\(756\) | 0.00407048 | + | 0.0125277i | 0.000148042 | + | 0.000455626i | ||||
\(757\) | 4.28604 | − | 3.11399i | 0.155779 | − | 0.113180i | −0.507165 | − | 0.861849i | \(-0.669307\pi\) |
0.662944 | + | 0.748669i | \(0.269307\pi\) | |||||||
\(758\) | 10.5736 | 0.384052 | ||||||||
\(759\) | 0.0543859 | − | 0.0321988i | 0.00197408 | − | 0.00116874i | ||||
\(760\) | 34.9621 | 1.26821 | ||||||||
\(761\) | −6.20444 | + | 4.50779i | −0.224911 | + | 0.163407i | −0.694534 | − | 0.719459i | \(-0.744390\pi\) |
0.469624 | + | 0.882867i | \(0.344390\pi\) | |||||||
\(762\) | 0.000310113 | 0 | 0.000954429i | 1.12342e−5 | 0 | 3.45753e-5i | ||||
\(763\) | −0.998942 | + | 3.07443i | −0.0361641 | + | 0.111302i | ||||
\(764\) | 7.15165 | + | 5.19598i | 0.258738 | + | 0.187984i | ||||
\(765\) | −7.61819 | − | 5.53494i | −0.275436 | − | 0.200116i | ||||
\(766\) | 1.20383 | − | 3.70501i | 0.0434962 | − | 0.133867i | ||||
\(767\) | 5.62001 | + | 17.2966i | 0.202927 | + | 0.624545i | ||||
\(768\) | −0.109355 | + | 0.0794509i | −0.00394600 | + | 0.00286694i | ||||
\(769\) | 2.26805 | 0.0817879 | 0.0408940 | − | 0.999163i | \(-0.486979\pi\) | ||||
0.0408940 | + | 0.999163i | \(0.486979\pi\) | |||||||
\(770\) | 6.01425 | + | 0.565616i | 0.216738 | + | 0.0203834i | ||||
\(771\) | 0.0145015 | 0.000522259 | ||||||||
\(772\) | 4.32271 | − | 3.14063i | 0.155578 | − | 0.113034i | ||||
\(773\) | 13.0105 | + | 40.0423i | 0.467956 | + | 1.44022i | 0.855227 | + | 0.518254i | \(0.173418\pi\) |
−0.387271 | + | 0.921966i | \(0.626582\pi\) | |||||||
\(774\) | −13.7422 | + | 42.2940i | −0.493951 | + | 1.52023i | ||||
\(775\) | −30.6966 | − | 22.3024i | −1.10265 | − | 0.801124i | ||||
\(776\) | 24.2314 | + | 17.6051i | 0.869856 | + | 0.631987i | ||||
\(777\) | −0.0104215 | + | 0.0320740i | −0.000373869 | + | 0.00115065i | ||||
\(778\) | 8.86027 | + | 27.2691i | 0.317656 | + | 0.977645i | ||||
\(779\) | 8.56946 | − | 6.22608i | 0.307033 | − | 0.223072i | ||||
\(780\) | −0.0945243 | −0.00338451 | ||||||||
\(781\) | −7.80181 | + | 18.0526i | −0.279171 | + | 0.645972i | ||||
\(782\) | −2.68652 | −0.0960698 | ||||||||
\(783\) | 0.514980 | − | 0.374155i | 0.0184039 | − | 0.0133712i | ||||
\(784\) | 10.1483 | + | 31.2332i | 0.362439 | + | 1.11547i | ||||
\(785\) | 1.70471 | − | 5.24655i | 0.0608436 | − | 0.187257i | ||||
\(786\) | −0.0155030 | − | 0.0112636i | −0.000552973 | − | 0.000401758i | ||||
\(787\) | 22.0839 | + | 16.0449i | 0.787208 | + | 0.571940i | 0.907133 | − | 0.420843i | \(-0.138266\pi\) |
−0.119926 | + | 0.992783i | \(0.538266\pi\) | |||||||
\(788\) | −0.373593 | + | 1.14980i | −0.0133087 | + | 0.0409599i | ||||
\(789\) | 0.0741622 | + | 0.228248i | 0.00264025 | + | 0.00812584i | ||||
\(790\) | −28.4836 | + | 20.6946i | −1.01340 | + | 0.736280i | ||||
\(791\) | −2.91586 | −0.103676 | ||||||||
\(792\) | 9.21366 | − | 21.3194i | 0.327393 | − | 0.757553i | ||||
\(793\) | 28.7571 | 1.02119 | ||||||||
\(794\) | −11.5084 | + | 8.36137i | −0.408419 | + | 0.296734i | ||||
\(795\) | 0.137290 | + | 0.422536i | 0.00486918 | + | 0.0149858i | ||||
\(796\) | 1.41615 | − | 4.35846i | 0.0501941 | − | 0.154481i | ||||
\(797\) | −41.7333 | − | 30.3211i | −1.47827 | − | 1.07403i | −0.978109 | − | 0.208095i | \(-0.933274\pi\) |
−0.500162 | − | 0.865932i | \(-0.666726\pi\) | |||||||
\(798\) | 0.0252879 | + | 0.0183727i | 0.000895181 | + | 0.000650387i | ||||
\(799\) | −1.25302 | + | 3.85638i | −0.0443285 | + | 0.136429i | ||||
\(800\) | −4.41410 | − | 13.5852i | −0.156062 | − | 0.480309i | ||||
\(801\) | 2.41144 | − | 1.75202i | 0.0852042 | − | 0.0619045i | ||||
\(802\) | −25.5845 | −0.903420 | ||||||||
\(803\) | −24.2765 | − | 2.28311i | −0.856699 | − | 0.0805691i | ||||
\(804\) | −0.0541903 | −0.00191114 | ||||||||
\(805\) | 1.56257 | − | 1.13527i | 0.0550733 | − | 0.0400131i | ||||
\(806\) | 19.2270 | + | 59.1748i | 0.677244 | + | 2.08434i | ||||
\(807\) | −0.000721382 | 0.00222018i | −2.53938e−5 | 7.81542e-5i | ||||||
\(808\) | −13.4706 | − | 9.78698i | −0.473895 | − | 0.344305i | ||||
\(809\) | −13.0863 | − | 9.50775i | −0.460090 | − | 0.334275i | 0.333477 | − | 0.942758i | \(-0.391778\pi\) |
−0.793566 | + | 0.608484i | \(0.791778\pi\) | |||||||
\(810\) | −13.8936 | + | 42.7600i | −0.488170 | + | 1.50243i | ||||
\(811\) | −9.59674 | − | 29.5357i | −0.336987 | − | 1.03714i | −0.965735 | − | 0.259530i | \(-0.916432\pi\) |
0.628748 | − | 0.777609i | \(-0.283568\pi\) | |||||||
\(812\) | 1.47830 | − | 1.07405i | 0.0518783 | − | 0.0376918i | ||||
\(813\) | −0.285729 | −0.0100210 | ||||||||
\(814\) | −37.2213 | + | 22.0366i | −1.30461 | + | 0.772383i | ||||
\(815\) | −53.1614 | −1.86216 | ||||||||
\(816\) | 0.0436815 | − | 0.0317364i | 0.00152916 | − | 0.00111100i | ||||
\(817\) | 13.7323 | + | 42.2638i | 0.480434 | + | 1.47862i | ||||
\(818\) | 3.36081 | − | 10.3435i | 0.117508 | − | 0.361653i | ||||
\(819\) | −4.42381 | − | 3.21409i | −0.154581 | − | 0.112309i | ||||
\(820\) | −3.00722 | − | 2.18487i | −0.105017 | − | 0.0762990i | ||||
\(821\) | −4.90683 | + | 15.1017i | −0.171249 | + | 0.527052i | −0.999442 | − | 0.0333915i | \(-0.989369\pi\) |
0.828193 | + | 0.560443i | \(0.189369\pi\) | |||||||
\(822\) | 0.0577909 | + | 0.177862i | 0.00201569 | + | 0.00620366i | ||||
\(823\) | −29.1988 | + | 21.2142i | −1.01781 | + | 0.739479i | −0.965832 | − | 0.259169i | \(-0.916551\pi\) |
−0.0519741 | + | 0.998648i | \(0.516551\pi\) | |||||||
\(824\) | −30.0298 | −1.04614 | ||||||||
\(825\) | −0.136379 | − | 0.120118i | −0.00474809 | − | 0.00418198i | ||||
\(826\) | −2.11046 | −0.0734323 | ||||||||
\(827\) | −0.873180 | + | 0.634402i | −0.0303634 | + | 0.0220603i | −0.602863 | − | 0.797844i | \(-0.705974\pi\) |
0.572500 | + | 0.819905i | \(0.305974\pi\) | |||||||
\(828\) | 0.834619 | + | 2.56869i | 0.0290050 | + | 0.0892683i | ||||
\(829\) | −9.23274 | + | 28.4155i | −0.320666 | + | 0.986909i | 0.652693 | + | 0.757623i | \(0.273639\pi\) |
−0.973359 | + | 0.229287i | \(0.926361\pi\) | |||||||
\(830\) | 52.5284 | + | 38.1641i | 1.82329 | + | 1.32470i | ||||
\(831\) | 0.126354 | + | 0.0918018i | 0.00438318 | + | 0.00318457i | ||||
\(832\) | 7.54022 | − | 23.2064i | 0.261410 | − | 0.804538i | ||||
\(833\) | −2.12205 | − | 6.53101i | −0.0735248 | − | 0.226286i | ||||
\(834\) | −0.0423697 | + | 0.0307834i | −0.00146714 | + | 0.00106594i | ||||
\(835\) | −9.08009 | −0.314229 | ||||||||
\(836\) | 1.84534 | + | 8.23710i | 0.0638224 | + | 0.284886i | ||||
\(837\) | −0.529588 | −0.0183052 | ||||||||
\(838\) | 49.3037 | − | 35.8212i | 1.70317 | − | 1.23742i | ||||
\(839\) | 10.4342 | + | 32.1131i | 0.360228 | + | 1.10867i | 0.952916 | + | 0.303235i | \(0.0980669\pi\) |
−0.592688 | + | 0.805432i | \(0.701933\pi\) | |||||||
\(840\) | −0.00931943 | + | 0.0286823i | −0.000321551 | + | 0.000989632i | ||||
\(841\) | −47.9771 | − | 34.8574i | −1.65438 | − | 1.20198i | ||||
\(842\) | 24.8528 | + | 18.0566i | 0.856483 | + | 0.622271i | ||||
\(843\) | 0.0681259 | − | 0.209670i | 0.00234638 | − | 0.00722142i | ||||
\(844\) | 3.54874 | + | 10.9219i | 0.122153 | + | 0.375947i | ||||
\(845\) | 30.4780 | − | 22.1436i | 1.04848 | − | 0.761762i | ||||
\(846\) | 19.3611 | 0.665648 | ||||||||
\(847\) | −0.506387 | − | 3.97791i | −0.0173997 | − | 0.136683i | ||||
\(848\) | 59.9515 | 2.05874 | ||||||||
\(849\) | −0.0624239 | + | 0.0453536i | −0.00214238 | + | 0.00155653i | ||||
\(850\) | 2.38712 | + | 7.34680i | 0.0818775 | + | 0.251993i | ||||
\(851\) | −4.27377 | + | 13.1533i | −0.146503 | + | 0.450890i | ||||
\(852\) | 0.0288903 | + | 0.0209901i | 0.000989767 | + | 0.000719108i | ||||
\(853\) | −21.8299 | − | 15.8604i | −0.747442 | − | 0.543049i | 0.147591 | − | 0.989049i | \(-0.452848\pi\) |
−0.895033 | + | 0.446000i | \(0.852848\pi\) | |||||||
\(854\) | −1.03122 | + | 3.17376i | −0.0352875 | + | 0.108604i | ||||
\(855\) | 13.8842 | + | 42.7313i | 0.474831 | + | 1.46138i | ||||
\(856\) | 3.16632 | − | 2.30047i | 0.108223 | − | 0.0786283i | ||||
\(857\) | −10.4807 | −0.358014 | −0.179007 | − | 0.983848i | \(-0.557288\pi\) | ||||
−0.179007 | + | 0.983848i | \(0.557288\pi\) | |||||||
\(858\) | 0.0651485 | + | 0.290805i | 0.00222413 | + | 0.00992793i | ||||
\(859\) | 21.2764 | 0.725940 | 0.362970 | − | 0.931801i | \(-0.381763\pi\) | ||||
0.362970 | + | 0.931801i | \(0.381763\pi\) | |||||||
\(860\) | 12.6163 | − | 9.16626i | 0.430211 | − | 0.312567i | ||||
\(861\) | 0.00282350 | + | 0.00868984i | 9.62246e−5 | + | 0.000296149i | ||||
\(862\) | 16.6007 | − | 51.0916i | 0.565421 | − | 1.74019i | ||||
\(863\) | −35.6902 | − | 25.9304i | −1.21491 | − | 0.882682i | −0.219240 | − | 0.975671i | \(-0.570358\pi\) |
−0.995667 | + | 0.0929889i | \(0.970358\pi\) | |||||||
\(864\) | −0.161296 | − | 0.117188i | −0.00548740 | − | 0.00398683i | ||||
\(865\) | −6.37496 | + | 19.6201i | −0.216755 | + | 0.667104i | ||||
\(866\) | −8.41284 | − | 25.8921i | −0.285880 | − | 0.879848i | ||||
\(867\) | −0.00913399 | + | 0.00663623i | −0.000310206 | + | 0.000225378i | ||||
\(868\) | −1.52024 | −0.0516003 | ||||||||
\(869\) | 17.5387 | + | 15.4476i | 0.594960 | + | 0.524023i | ||||
\(870\) | −0.530072 | −0.0179711 | ||||||||
\(871\) | 36.3994 | − | 26.4457i | 1.23335 | − | 0.896078i | ||||
\(872\) | −6.39658 | − | 19.6866i | −0.216615 | − | 0.666674i | ||||
\(873\) | −11.8945 | + | 36.6074i | −0.402567 | + | 1.23897i | ||||
\(874\) | 10.3704 | + | 7.53451i | 0.350783 | + | 0.254859i | ||||
\(875\) | 0.135794 | + | 0.0986601i | 0.00459067 | + | 0.00333532i | ||||
\(876\) | −0.0136821 | + | 0.0421092i | −0.000462275 | + | 0.00142274i | ||||
\(877\) | 2.56777 | + | 7.90278i | 0.0867074 | + | 0.266858i | 0.985004 | − | 0.172532i | \(-0.0551948\pi\) |
−0.898297 | + | 0.439390i | \(0.855195\pi\) | |||||||
\(878\) | −37.5734 | + | 27.2987i | −1.26804 | + | 0.921286i | ||||
\(879\) | −0.0198341 | −0.000668989 | ||||||||
\(880\) | −42.8425 | + | 25.3646i | −1.44422 | + | 0.855040i | ||||
\(881\) | −28.5726 | −0.962634 | −0.481317 | − | 0.876547i | \(-0.659841\pi\) | ||||
−0.481317 | + | 0.876547i | \(0.659841\pi\) | |||||||
\(882\) | −26.5270 | + | 19.2730i | −0.893209 | + | 0.648954i | ||||
\(883\) | 12.4641 | + | 38.3606i | 0.419451 | + | 1.29094i | 0.908209 | + | 0.418518i | \(0.137450\pi\) |
−0.488758 | + | 0.872419i | \(0.662550\pi\) | |||||||
\(884\) | 0.824199 | − | 2.53662i | 0.0277208 | − | 0.0853159i | ||||
\(885\) | 0.104285 | + | 0.0757677i | 0.00350551 | + | 0.00254690i | ||||
\(886\) | 11.3993 | + | 8.28210i | 0.382968 | + | 0.278242i | ||||
\(887\) | −6.40492 | + | 19.7123i | −0.215056 | + | 0.661875i | 0.784094 | + | 0.620643i | \(0.213128\pi\) |
−0.999150 | + | 0.0412319i | \(0.986872\pi\) | |||||||
\(888\) | −0.0667325 | − | 0.205381i | −0.00223940 | − | 0.00689215i | ||||
\(889\) | 0.0164699 | − | 0.0119661i | 0.000552384 | − | 0.000401330i | ||||
\(890\) | −4.96434 | −0.166405 | ||||||||
\(891\) | 29.7147 | + | 2.79455i | 0.995480 | + | 0.0936210i | ||||
\(892\) | −5.81541 | −0.194714 | ||||||||
\(893\) | 15.6523 | − | 11.3720i | 0.523783 | − | 0.380551i | ||||
\(894\) | −0.0502921 | − | 0.154783i | −0.00168202 | − | 0.00517673i | ||||
\(895\) | 0.186242 | − | 0.573195i | 0.00622540 | − | 0.0191598i | ||||
\(896\) | 4.02682 | + | 2.92565i | 0.134527 | + | 0.0977392i | ||||
\(897\) | 0.0770870 | + | 0.0560070i | 0.00257386 | + | 0.00187002i | ||||
\(898\) | 2.21609 | − | 6.82042i | 0.0739518 | − | 0.227600i | ||||
\(899\) | 22.7020 | + | 69.8694i | 0.757153 | + | 2.33028i | ||||
\(900\) | 6.28297 | − | 4.56485i | 0.209432 | − | 0.152162i | ||||
\(901\) | −12.5361 | −0.417639 | ||||||||
\(902\) | −4.64914 | + | 10.7576i | −0.154799 | + | 0.358189i | ||||
\(903\) | −0.0383329 | −0.00127564 | ||||||||
\(904\) | 15.1054 | − | 10.9747i | 0.502398 | − | 0.365014i | ||||
\(905\) | −18.3782 | − | 56.5623i | −0.610912 | − | 1.88020i | ||||
\(906\) | −0.112542 | + | 0.346369i | −0.00373897 | + | 0.0115074i | ||||
\(907\) | −19.6017 | − | 14.2415i | −0.650864 | − | 0.472880i | 0.212701 | − | 0.977117i | \(-0.431774\pi\) |
−0.863565 | + | 0.504237i | \(0.831774\pi\) | |||||||
\(908\) | −1.84694 | − | 1.34188i | −0.0612927 | − | 0.0445318i | ||||
\(909\) | 6.61234 | − | 20.3507i | 0.219317 | − | 0.674990i | ||||
\(910\) | 2.81425 | + | 8.66138i | 0.0932916 | + | 0.287122i | ||||
\(911\) | −28.8260 | + | 20.9433i | −0.955049 | + | 0.693884i | −0.951996 | − | 0.306112i | \(-0.900972\pi\) |
−0.00305335 | + | 0.999995i | \(0.500972\pi\) | |||||||
\(912\) | −0.257623 | −0.00853076 | ||||||||
\(913\) | 17.0986 | − | 39.5644i | 0.565882 | − | 1.30939i | ||||
\(914\) | −41.0090 | −1.35646 | ||||||||
\(915\) | 0.164897 | − | 0.119805i | 0.00545133 | − | 0.00396062i | ||||
\(916\) | 2.62362 | + | 8.07468i | 0.0866869 | + | 0.266795i | ||||
\(917\) | −0.120126 | + | 0.369709i | −0.00396690 | + | 0.0122089i | ||||
\(918\) | 0.0872280 | + | 0.0633748i | 0.00287895 | + | 0.00209168i | ||||
\(919\) | 14.3841 | + | 10.4507i | 0.474489 | + | 0.344736i | 0.799188 | − | 0.601081i | \(-0.205263\pi\) |
−0.324699 | + | 0.945817i | \(0.605263\pi\) | |||||||
\(920\) | −3.82183 | + | 11.7624i | −0.126002 | + | 0.387794i | ||||
\(921\) | −0.0643333 | − | 0.197998i | −0.00211985 | − | 0.00652424i | ||||
\(922\) | −18.4879 | + | 13.4322i | −0.608866 | + | 0.442367i | ||||
\(923\) | −29.6490 | −0.975909 | ||||||||
\(924\) | −0.00724946 | 0.000681783i | −0.000238490 | 2.24290e-5i | ||||||
\(925\) | 39.7677 | 1.30755 | ||||||||
\(926\) | −20.1031 | + | 14.6058i | −0.660629 | + | 0.479975i | ||||
\(927\) | −11.9255 | − | 36.7030i | −0.391686 | − | 1.20549i | ||||
\(928\) | −8.54655 | + | 26.3036i | −0.280554 | + | 0.863457i | ||||
\(929\) | −7.35843 | − | 5.34621i | −0.241422 | − | 0.175403i | 0.460494 | − | 0.887663i | \(-0.347672\pi\) |
−0.701917 | + | 0.712259i | \(0.747672\pi\) | |||||||
\(930\) | 0.356778 | + | 0.259214i | 0.0116992 | + | 0.00849998i | ||||
\(931\) | −10.1252 | + | 31.1620i | −0.331839 | + | 1.02129i | ||||
\(932\) | 2.39169 | + | 7.36087i | 0.0783424 | + | 0.241113i | ||||
\(933\) | 0.172524 | − | 0.125346i | 0.00564817 | − | 0.00410363i | ||||
\(934\) | −11.4378 | −0.374255 | ||||||||
\(935\) | 8.95855 | − | 5.30385i | 0.292976 | − | 0.173454i | ||||
\(936\) | 35.0144 | 1.14448 | ||||||||
\(937\) | 26.3744 | − | 19.1621i | 0.861615 | − | 0.626000i | −0.0667091 | − | 0.997772i | \(-0.521250\pi\) |
0.928324 | + | 0.371773i | \(0.121250\pi\) | |||||||
\(938\) | 1.61340 | + | 4.96552i | 0.0526793 | + | 0.162130i | ||||
\(939\) | 0.00715761 | − | 0.0220289i | 0.000233580 | − | 0.000718885i | ||||
\(940\) | −5.49274 | − | 3.99071i | −0.179153 | − | 0.130163i | ||||
\(941\) | 9.38413 | + | 6.81797i | 0.305914 | + | 0.222260i | 0.730141 | − | 0.683296i | \(-0.239454\pi\) |
−0.424227 | + | 0.905556i | \(0.639454\pi\) | |||||||
\(942\) | −0.00975920 | + | 0.0300357i | −0.000317972 | + | 0.000978617i | ||||
\(943\) | 1.15790 | + | 3.56364i | 0.0377063 | + | 0.116048i | ||||
\(944\) | 14.0723 | − | 10.2241i | 0.458015 | − | 0.332768i | ||||
\(945\) | −0.0775155 | −0.00252158 | ||||||||
\(946\) | −36.8956 | − | 32.4965i | −1.19958 | − | 1.05655i | ||||
\(947\) | 16.2101 | 0.526759 | 0.263379 | − | 0.964692i | \(-0.415163\pi\) | ||||
0.263379 | + | 0.964692i | \(0.415163\pi\) | |||||||
\(948\) | 0.0343336 | − | 0.0249448i | 0.00111510 | − | 0.000810170i | ||||
\(949\) | −11.3597 | − | 34.9616i | −0.368752 | − | 1.13490i | ||||
\(950\) | 11.3899 | − | 35.0545i | 0.369537 | − | 1.13732i | ||||
\(951\) | −0.158270 | − | 0.114990i | −0.00513227 | − | 0.00372881i | ||||
\(952\) | −0.688447 | − | 0.500186i | −0.0223127 | − | 0.0162111i | ||||
\(953\) | −14.2456 | + | 43.8434i | −0.461459 | + | 1.42023i | 0.401922 | + | 0.915674i | \(0.368342\pi\) |
−0.863381 | + | 0.504552i | \(0.831658\pi\) | |||||||
\(954\) | 18.4970 | + | 56.9280i | 0.598863 | + | 1.84311i | ||||
\(955\) | −42.0854 | + | 30.5768i | −1.36185 | + | 0.989443i | ||||
\(956\) | 3.07879 | 0.0995753 | ||||||||
\(957\) | 0.0769228 | + | 0.343363i | 0.00248656 | + | 0.0110993i | ||||
\(958\) | 36.7563 | 1.18754 | ||||||||
\(959\) | 3.06925 | − | 2.22994i | 0.0991111 | − | 0.0720085i | ||||
\(960\) | −0.0534434 | − | 0.164482i | −0.00172488 | − | 0.00530863i | ||||
\(961\) | 9.30773 | − | 28.6463i | 0.300249 | − | 0.924073i | ||||
\(962\) | −52.7578 | − | 38.3308i | −1.70098 | − | 1.23583i | ||||
\(963\) | 4.06909 | + | 2.95637i | 0.131125 | + | 0.0952676i | ||||
\(964\) | 2.48293 | − | 7.64167i | 0.0799698 | − | 0.246122i | ||||
\(965\) | 9.71641 | + | 29.9040i | 0.312782 | + | 0.962645i | ||||
\(966\) | −0.00894548 | + | 0.00649927i | −0.000287816 | + | 0.000209111i | ||||
\(967\) | 21.8136 | 0.701477 | 0.350739 | − | 0.936473i | \(-0.385931\pi\) | ||||
0.350739 | + | 0.936473i | \(0.385931\pi\) | |||||||
\(968\) | 17.5953 | + | 18.7013i | 0.565535 | + | 0.601083i | ||||
\(969\) | 0.0538702 | 0.00173056 | ||||||||
\(970\) | 51.8636 | − | 37.6811i | 1.66524 | − | 1.20987i | ||||
\(971\) | −18.7210 | − | 57.6172i | −0.600784 | − | 1.84902i | −0.523521 | − | 0.852013i | \(-0.675382\pi\) |
−0.0772630 | − | 0.997011i | \(-0.524618\pi\) | |||||||
\(972\) | 0.0502447 | − | 0.154637i | 0.00161160 | − | 0.00495999i | ||||
\(973\) | 0.859512 | + | 0.624472i | 0.0275547 | + | 0.0200197i | ||||
\(974\) | −1.74017 | − | 1.26431i | −0.0557586 | − | 0.0405110i | ||||
\(975\) | 0.0846657 | − | 0.260574i | 0.00271147 | − | 0.00834505i | ||||
\(976\) | −8.49925 | − | 26.1580i | −0.272054 | − | 0.837297i | ||||
\(977\) | 24.8263 | − | 18.0374i | 0.794265 | − | 0.577067i | −0.114961 | − | 0.993370i | \(-0.536674\pi\) |
0.909226 | + | 0.416303i | \(0.136674\pi\) | |||||||
\(978\) | 0.304341 | 0.00973176 | ||||||||
\(979\) | 0.720413 | + | 3.21573i | 0.0230245 | + | 0.102775i | ||||
\(980\) | 11.4982 | 0.367297 | ||||||||
\(981\) | 21.5212 | − | 15.6360i | 0.687118 | − | 0.499220i | ||||
\(982\) | 17.1919 | + | 52.9113i | 0.548616 | + | 1.68847i | ||||
\(983\) | 2.41453 | − | 7.43115i | 0.0770115 | − | 0.237017i | −0.905138 | − | 0.425117i | \(-0.860233\pi\) |
0.982150 | + | 0.188100i | \(0.0602329\pi\) | |||||||
\(984\) | −0.0473337 | − | 0.0343900i | −0.00150894 | − | 0.00109631i | ||||
\(985\) | −5.75571 | − | 4.18177i | −0.183392 | − | 0.133242i | ||||
\(986\) | 4.62193 | − | 14.2248i | 0.147192 | − | 0.453011i | ||||
\(987\) | 0.00515717 | + | 0.0158722i | 0.000164155 | + | 0.000505216i | ||||
\(988\) | −10.2956 | + | 7.48021i | −0.327548 | + | 0.237977i | ||||
\(989\) | −15.7200 | −0.499868 | ||||||||
\(990\) | −37.3037 | − | 32.8560i | −1.18559 | − | 1.04423i | ||||
\(991\) | 9.72063 | 0.308786 | 0.154393 | − | 0.988010i | \(-0.450658\pi\) | ||||
0.154393 | + | 0.988010i | \(0.450658\pi\) | |||||||
\(992\) | 18.6154 | − | 13.5249i | 0.591039 | − | 0.429415i | ||||
\(993\) | 0.0868185 | + | 0.267200i | 0.00275510 | + | 0.00847933i | ||||
\(994\) | 1.06320 | − | 3.27219i | 0.0337226 | − | 0.103788i | ||||
\(995\) | 21.8177 | + | 15.8515i | 0.691668 | + | 0.502526i | ||||
\(996\) | −0.0633168 | − | 0.0460023i | −0.00200627 | − | 0.00145764i | ||||
\(997\) | −16.5802 | + | 51.0285i | −0.525099 | + | 1.61609i | 0.239022 | + | 0.971014i | \(0.423173\pi\) |
−0.764120 | + | 0.645074i | \(0.776827\pi\) | |||||||
\(998\) | −2.70610 | − | 8.32852i | −0.0856601 | − | 0.263635i | ||||
\(999\) | 0.449050 | − | 0.326254i | 0.0142073 | − | 0.0103222i |
(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 | 187.2.g.f.69.4 | ✓ | 36 | |
11.2 | odd | 10 | 2057.2.a.be.1.6 | 18 | |||
11.4 | even | 5 | inner | 187.2.g.f.103.4 | yes | 36 | |
11.9 | even | 5 | 2057.2.a.bd.1.13 | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
187.2.g.f.69.4 | ✓ | 36 | 1.1 | even | 1 | trivial | |
187.2.g.f.103.4 | yes | 36 | 11.4 | even | 5 | inner | |
2057.2.a.bd.1.13 | 18 | 11.9 | even | 5 | |||
2057.2.a.be.1.6 | 18 | 11.2 | odd | 10 |