Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [147,2,Mod(4,147)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(147, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("147.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 147 = 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 147.m (of order \(21\), degree \(12\), 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: | \(1.17380090971\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 4.3 | ||
Character | \(\chi\) | \(=\) | 147.4 |
Dual form | 147.2.m.b.37.3 |
$q$-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 \(\left(\mathbb{Z}/147\mathbb{Z}\right)^\times\).
\(n\) | \(50\) | \(52\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.190250 | + | 0.129710i | 0.134527 | + | 0.0917190i | 0.628714 | − | 0.777637i | \(-0.283582\pi\) |
−0.494187 | + | 0.869356i | \(0.664534\pi\) | |||||||
\(3\) | −0.733052 | − | 0.680173i | −0.423228 | − | 0.392698i | ||||
\(4\) | −0.711312 | − | 1.81239i | −0.355656 | − | 0.906196i | ||||
\(5\) | 1.13743 | − | 0.350851i | 0.508674 | − | 0.156905i | −0.0297859 | − | 0.999556i | \(-0.509483\pi\) |
0.538460 | + | 0.842651i | \(0.319006\pi\) | |||||||
\(6\) | −0.0512377 | − | 0.224487i | −0.0209177 | − | 0.0916465i | ||||
\(7\) | −2.33995 | − | 1.23477i | −0.884417 | − | 0.466698i | ||||
\(8\) | 0.202234 | − | 0.886046i | 0.0715006 | − | 0.313265i | ||||
\(9\) | 0.0747301 | + | 0.997204i | 0.0249100 | + | 0.332401i | ||||
\(10\) | 0.261905 | + | 0.0807869i | 0.0828216 | + | 0.0255471i | ||||
\(11\) | 0.276984 | − | 3.69610i | 0.0835139 | − | 1.11442i | −0.785247 | − | 0.619183i | \(-0.787464\pi\) |
0.868761 | − | 0.495232i | \(-0.164917\pi\) | |||||||
\(12\) | −0.711312 | + | 1.81239i | −0.205338 | + | 0.523193i | ||||
\(13\) | 1.00902 | − | 0.485919i | 0.279852 | − | 0.134770i | −0.288693 | − | 0.957422i | \(-0.593221\pi\) |
0.568545 | + | 0.822652i | \(0.307506\pi\) | |||||||
\(14\) | −0.285013 | − | 0.538429i | −0.0761730 | − | 0.143901i | ||||
\(15\) | −1.07243 | − | 0.516457i | −0.276901 | − | 0.133349i | ||||
\(16\) | −2.70107 | + | 2.50623i | −0.675268 | + | 0.626557i | ||||
\(17\) | 6.63269 | − | 0.999717i | 1.60866 | − | 0.242467i | 0.717637 | − | 0.696418i | \(-0.245224\pi\) |
0.891027 | + | 0.453950i | \(0.149986\pi\) | |||||||
\(18\) | −0.115130 | + | 0.199411i | −0.0271364 | + | 0.0470017i | ||||
\(19\) | 2.49731 | + | 4.32547i | 0.572922 | + | 0.992330i | 0.996264 | + | 0.0863600i | \(0.0275235\pi\) |
−0.423342 | + | 0.905970i | \(0.639143\pi\) | |||||||
\(20\) | −1.44495 | − | 1.81191i | −0.323100 | − | 0.405154i | ||||
\(21\) | 0.875449 | + | 2.49672i | 0.191039 | + | 0.544828i | ||||
\(22\) | 0.532118 | − | 0.667255i | 0.113448 | − | 0.142259i | ||||
\(23\) | −1.09199 | − | 0.164591i | −0.227695 | − | 0.0343195i | 0.0342036 | − | 0.999415i | \(-0.489111\pi\) |
−0.261899 | + | 0.965095i | \(0.584349\pi\) | |||||||
\(24\) | −0.750913 | + | 0.511964i | −0.153279 | + | 0.104504i | ||||
\(25\) | −2.96054 | + | 2.01846i | −0.592109 | + | 0.403693i | ||||
\(26\) | 0.254995 | + | 0.0384343i | 0.0500086 | + | 0.00753759i | ||||
\(27\) | 0.623490 | − | 0.781831i | 0.119991 | − | 0.150464i | ||||
\(28\) | −0.573448 | + | 5.11921i | −0.108372 | + | 0.967439i | ||||
\(29\) | 4.32808 | + | 5.42724i | 0.803704 | + | 1.00781i | 0.999630 | + | 0.0271942i | \(0.00865726\pi\) |
−0.195926 | + | 0.980619i | \(0.562771\pi\) | |||||||
\(30\) | −0.137041 | − | 0.237362i | −0.0250201 | − | 0.0433361i | ||||
\(31\) | −1.42347 | + | 2.46552i | −0.255662 | + | 0.442820i | −0.965075 | − | 0.261973i | \(-0.915627\pi\) |
0.709413 | + | 0.704793i | \(0.248960\pi\) | |||||||
\(32\) | −2.63632 | + | 0.397362i | −0.466041 | + | 0.0702444i | ||||
\(33\) | −2.71703 | + | 2.52103i | −0.472974 | + | 0.438856i | ||||
\(34\) | 1.39154 | + | 0.670131i | 0.238648 | + | 0.114927i | ||||
\(35\) | −3.09474 | − | 0.583487i | −0.523107 | − | 0.0986273i | ||||
\(36\) | 1.75417 | − | 0.844763i | 0.292361 | − | 0.140794i | ||||
\(37\) | 0.893462 | − | 2.27650i | 0.146884 | − | 0.374255i | −0.838429 | − | 0.545011i | \(-0.816526\pi\) |
0.985313 | + | 0.170756i | \(0.0546209\pi\) | |||||||
\(38\) | −0.0859442 | + | 1.14685i | −0.0139420 | + | 0.186043i | ||||
\(39\) | −1.07017 | − | 0.330105i | −0.171365 | − | 0.0528591i | ||||
\(40\) | −0.0808426 | − | 1.07877i | −0.0127823 | − | 0.170568i | ||||
\(41\) | 0.970126 | − | 4.25040i | 0.151508 | − | 0.663801i | −0.840939 | − | 0.541130i | \(-0.817997\pi\) |
0.992447 | − | 0.122671i | \(-0.0391460\pi\) | |||||||
\(42\) | −0.157295 | + | 0.588555i | −0.0242712 | + | 0.0908159i | ||||
\(43\) | −2.16553 | − | 9.48782i | −0.330241 | − | 1.44688i | −0.818664 | − | 0.574273i | \(-0.805285\pi\) |
0.488423 | − | 0.872607i | \(-0.337572\pi\) | |||||||
\(44\) | −6.89580 | + | 2.12707i | −1.03958 | + | 0.320668i | ||||
\(45\) | 0.434870 | + | 1.10803i | 0.0648266 | + | 0.165175i | ||||
\(46\) | −0.186401 | − | 0.172955i | −0.0274834 | − | 0.0255009i | ||||
\(47\) | 6.47433 | + | 4.41412i | 0.944377 | + | 0.643866i | 0.934454 | − | 0.356085i | \(-0.115889\pi\) |
0.00992387 | + | 0.999951i | \(0.496841\pi\) | |||||||
\(48\) | 3.68469 | 0.531840 | ||||||||
\(49\) | 3.95071 | + | 5.77857i | 0.564387 | + | 0.825510i | ||||
\(50\) | −0.825059 | −0.116681 | ||||||||
\(51\) | −5.54209 | − | 3.77853i | −0.776047 | − | 0.529100i | ||||
\(52\) | −1.59841 | − | 1.48310i | −0.221659 | − | 0.205669i | ||||
\(53\) | −1.47372 | − | 3.75499i | −0.202431 | − | 0.515787i | 0.793221 | − | 0.608934i | \(-0.208403\pi\) |
−0.995652 | + | 0.0931471i | \(0.970307\pi\) | |||||||
\(54\) | 0.220030 | − | 0.0678704i | 0.0299423 | − | 0.00923599i | ||||
\(55\) | −0.981728 | − | 4.30123i | −0.132376 | − | 0.579978i | ||||
\(56\) | −1.56728 | + | 1.82359i | −0.209436 | + | 0.243687i | ||||
\(57\) | 1.11141 | − | 4.86939i | 0.147209 | − | 0.644967i | ||||
\(58\) | 0.119448 | + | 1.59393i | 0.0156843 | + | 0.209293i | ||||
\(59\) | 13.6406 | + | 4.20757i | 1.77585 | + | 0.547779i | 0.996855 | − | 0.0792458i | \(-0.0252512\pi\) |
0.779000 | + | 0.627024i | \(0.215727\pi\) | |||||||
\(60\) | −0.173188 | + | 2.31103i | −0.0223585 | + | 0.298353i | ||||
\(61\) | −2.75362 | + | 7.01611i | −0.352565 | + | 0.898321i | 0.639059 | + | 0.769158i | \(0.279324\pi\) |
−0.991623 | + | 0.129163i | \(0.958771\pi\) | |||||||
\(62\) | −0.590618 | + | 0.284426i | −0.0750085 | + | 0.0361222i | ||||
\(63\) | 1.05645 | − | 2.42568i | 0.133100 | − | 0.305607i | ||||
\(64\) | 6.08648 | + | 2.93110i | 0.760810 | + | 0.366387i | ||||
\(65\) | 0.977206 | − | 0.906715i | 0.121208 | − | 0.112464i | ||||
\(66\) | −0.843918 | + | 0.127200i | −0.103879 | + | 0.0156573i | ||||
\(67\) | 1.69953 | − | 2.94368i | 0.207631 | − | 0.359628i | −0.743337 | − | 0.668917i | \(-0.766758\pi\) |
0.950968 | + | 0.309290i | \(0.100091\pi\) | |||||||
\(68\) | −6.52979 | − | 11.3099i | −0.791853 | − | 1.37153i | ||||
\(69\) | 0.688533 | + | 0.863394i | 0.0828897 | + | 0.103940i | ||||
\(70\) | −0.513091 | − | 0.512428i | −0.0613260 | − | 0.0612469i | ||||
\(71\) | −3.49266 | + | 4.37965i | −0.414502 | + | 0.519769i | −0.944625 | − | 0.328151i | \(-0.893574\pi\) |
0.530123 | + | 0.847921i | \(0.322146\pi\) | |||||||
\(72\) | 0.898682 | + | 0.135454i | 0.105911 | + | 0.0159635i | ||||
\(73\) | 1.17183 | − | 0.798940i | 0.137152 | − | 0.0935088i | −0.492800 | − | 0.870142i | \(-0.664027\pi\) |
0.629953 | + | 0.776634i | \(0.283074\pi\) | |||||||
\(74\) | 0.465267 | − | 0.317213i | 0.0540862 | − | 0.0368753i | ||||
\(75\) | 3.54314 | + | 0.534042i | 0.409126 | + | 0.0616659i | ||||
\(76\) | 6.06308 | − | 7.60286i | 0.695483 | − | 0.872108i | ||||
\(77\) | −5.21194 | + | 8.30666i | −0.593956 | + | 0.946632i | ||||
\(78\) | −0.160783 | − | 0.201615i | −0.0182050 | − | 0.0228284i | ||||
\(79\) | −8.37241 | − | 14.5014i | −0.941970 | − | 1.63154i | −0.761707 | − | 0.647922i | \(-0.775638\pi\) |
−0.180263 | − | 0.983618i | \(-0.557695\pi\) | |||||||
\(80\) | −2.19297 | + | 3.79833i | −0.245181 | + | 0.424666i | ||||
\(81\) | −0.988831 | + | 0.149042i | −0.109870 | + | 0.0165603i | ||||
\(82\) | 0.735886 | − | 0.682803i | 0.0812650 | − | 0.0754029i | ||||
\(83\) | −12.1399 | − | 5.84627i | −1.33253 | − | 0.641711i | −0.374190 | − | 0.927352i | \(-0.622079\pi\) |
−0.958337 | + | 0.285641i | \(0.907794\pi\) | |||||||
\(84\) | 3.90231 | − | 3.36260i | 0.425777 | − | 0.366890i | ||||
\(85\) | 7.19347 | − | 3.46419i | 0.780241 | − | 0.375744i | ||||
\(86\) | 0.818675 | − | 2.08595i | 0.0882800 | − | 0.224934i | ||||
\(87\) | 0.518754 | − | 6.92229i | 0.0556162 | − | 0.742147i | ||||
\(88\) | −3.21890 | − | 0.992898i | −0.343136 | − | 0.105843i | ||||
\(89\) | −0.460090 | − | 6.13948i | −0.0487695 | − | 0.650783i | −0.967006 | − | 0.254752i | \(-0.918006\pi\) |
0.918237 | − | 0.396031i | \(-0.129613\pi\) | |||||||
\(90\) | −0.0609889 | + | 0.267210i | −0.00642879 | + | 0.0281664i | ||||
\(91\) | −2.96105 | − | 0.108880i | −0.310403 | − | 0.0114137i | ||||
\(92\) | 0.478441 | + | 2.09619i | 0.0498809 | + | 0.218542i | ||||
\(93\) | 2.72045 | − | 0.839149i | 0.282098 | − | 0.0870157i | ||||
\(94\) | 0.659183 | + | 1.67957i | 0.0679896 | + | 0.173235i | ||||
\(95\) | 4.35811 | + | 4.04373i | 0.447132 | + | 0.414878i | ||||
\(96\) | 2.20284 | + | 1.50187i | 0.224826 | + | 0.153284i | ||||
\(97\) | −2.94332 | −0.298849 | −0.149424 | − | 0.988773i | \(-0.547742\pi\) | ||||
−0.149424 | + | 0.988773i | \(0.547742\pi\) | |||||||
\(98\) | 0.00208186 | + | 1.61182i | 0.000210300 | + | 0.162818i | ||||
\(99\) | 3.70646 | 0.372513 | ||||||||
\(100\) | 5.76412 | + | 3.92991i | 0.576412 | + | 0.392991i | ||||
\(101\) | 0.438721 | + | 0.407073i | 0.0436543 | + | 0.0405053i | 0.701698 | − | 0.712474i | \(-0.252425\pi\) |
−0.658044 | + | 0.752979i | \(0.728616\pi\) | |||||||
\(102\) | −0.564268 | − | 1.43773i | −0.0558708 | − | 0.142357i | ||||
\(103\) | −3.03228 | + | 0.935334i | −0.298779 | + | 0.0921612i | −0.440520 | − | 0.897743i | \(-0.645206\pi\) |
0.141741 | + | 0.989904i | \(0.454730\pi\) | |||||||
\(104\) | −0.226488 | − | 0.992309i | −0.0222090 | − | 0.0973040i | ||||
\(105\) | 1.87174 | + | 2.53269i | 0.182663 | + | 0.247165i | ||||
\(106\) | 0.206684 | − | 0.905543i | 0.0200749 | − | 0.0879541i | ||||
\(107\) | 1.30777 | + | 17.4510i | 0.126427 | + | 1.68705i | 0.595079 | + | 0.803667i | \(0.297121\pi\) |
−0.468653 | + | 0.883383i | \(0.655260\pi\) | |||||||
\(108\) | −1.86048 | − | 0.573882i | −0.179025 | − | 0.0552219i | ||||
\(109\) | −0.535242 | + | 7.14230i | −0.0512668 | + | 0.684109i | 0.911071 | + | 0.412251i | \(0.135257\pi\) |
−0.962337 | + | 0.271858i | \(0.912362\pi\) | |||||||
\(110\) | 0.371140 | − | 0.945649i | 0.0353868 | − | 0.0901641i | ||||
\(111\) | −2.20337 | + | 1.06109i | −0.209135 | + | 0.100714i | ||||
\(112\) | 9.41497 | − | 2.52925i | 0.889631 | − | 0.238992i | ||||
\(113\) | −7.62512 | − | 3.67206i | −0.717311 | − | 0.345439i | 0.0393687 | − | 0.999225i | \(-0.487465\pi\) |
−0.756679 | + | 0.653786i | \(0.773180\pi\) | |||||||
\(114\) | 0.843055 | − | 0.782241i | 0.0789593 | − | 0.0732635i | ||||
\(115\) | −1.29981 | + | 0.195914i | −0.121207 | + | 0.0182691i | ||||
\(116\) | 6.75767 | − | 11.7046i | 0.627434 | − | 1.08675i | ||||
\(117\) | 0.559965 | + | 0.969888i | 0.0517688 | + | 0.0896661i | ||||
\(118\) | 2.04936 | + | 2.56981i | 0.188659 | + | 0.236571i | ||||
\(119\) | −16.7546 | − | 5.85053i | −1.53589 | − | 0.536317i | ||||
\(120\) | −0.674488 | + | 0.845781i | −0.0615720 | + | 0.0772089i | ||||
\(121\) | −2.70728 | − | 0.408056i | −0.246116 | − | 0.0370960i | ||||
\(122\) | −1.43394 | + | 0.977642i | −0.129823 | + | 0.0885115i | ||||
\(123\) | −3.60216 | + | 2.45591i | −0.324796 | + | 0.221442i | ||||
\(124\) | 5.48102 | + | 0.826130i | 0.492210 | + | 0.0741887i | ||||
\(125\) | −6.36997 | + | 7.98769i | −0.569747 | + | 0.714440i | ||||
\(126\) | 0.515624 | − | 0.324453i | 0.0459355 | − | 0.0289046i | ||||
\(127\) | 4.69902 | + | 5.89238i | 0.416970 | + | 0.522864i | 0.945312 | − | 0.326168i | \(-0.105757\pi\) |
−0.528342 | + | 0.849032i | \(0.677186\pi\) | |||||||
\(128\) | 3.44386 | + | 5.96495i | 0.304397 | + | 0.527232i | ||||
\(129\) | −4.86591 | + | 8.42800i | −0.428419 | + | 0.742044i | ||||
\(130\) | 0.303524 | − | 0.0457488i | 0.0266208 | − | 0.00401244i | ||||
\(131\) | −8.07194 | + | 7.48967i | −0.705249 | + | 0.654375i | −0.948932 | − | 0.315479i | \(-0.897835\pi\) |
0.243684 | + | 0.969855i | \(0.421644\pi\) | |||||||
\(132\) | 6.50176 | + | 3.13108i | 0.565905 | + | 0.272526i | ||||
\(133\) | −0.502635 | − | 13.2050i | −0.0435839 | − | 1.14501i | ||||
\(134\) | 0.705161 | − | 0.339588i | 0.0609167 | − | 0.0293359i | ||||
\(135\) | 0.434870 | − | 1.10803i | 0.0374276 | − | 0.0953640i | ||||
\(136\) | 0.455562 | − | 6.07905i | 0.0390641 | − | 0.521274i | ||||
\(137\) | 5.92527 | + | 1.82770i | 0.506230 | + | 0.156151i | 0.537342 | − | 0.843365i | \(-0.319429\pi\) |
−0.0311117 | + | 0.999516i | \(0.509905\pi\) | |||||||
\(138\) | 0.0190025 | + | 0.253570i | 0.00161760 | + | 0.0215853i | ||||
\(139\) | −4.36141 | + | 19.1086i | −0.369930 | + | 1.62077i | 0.357031 | + | 0.934093i | \(0.383789\pi\) |
−0.726961 | + | 0.686678i | \(0.759068\pi\) | |||||||
\(140\) | 1.14382 | + | 6.02393i | 0.0966704 | + | 0.509115i | ||||
\(141\) | −1.74365 | − | 7.63944i | −0.146842 | − | 0.643357i | ||||
\(142\) | −1.23256 | + | 0.380196i | −0.103434 | + | 0.0319053i | ||||
\(143\) | −1.51652 | − | 3.86403i | −0.126818 | − | 0.323127i | ||||
\(144\) | −2.70107 | − | 2.50623i | −0.225089 | − | 0.208852i | ||||
\(145\) | 6.82703 | + | 4.65459i | 0.566954 | + | 0.386543i | ||||
\(146\) | 0.326571 | 0.0270272 | ||||||||
\(147\) | 1.03435 | − | 6.92316i | 0.0853121 | − | 0.571012i | ||||
\(148\) | −4.76145 | −0.391389 | ||||||||
\(149\) | 16.6449 | + | 11.3483i | 1.36361 | + | 0.929691i | 0.999998 | − | 0.00186111i | \(-0.000592411\pi\) |
0.363608 | + | 0.931552i | \(0.381545\pi\) | |||||||
\(150\) | 0.604811 | + | 0.561182i | 0.0493826 | + | 0.0458204i | ||||
\(151\) | −0.779366 | − | 1.98579i | −0.0634239 | − | 0.161601i | 0.895648 | − | 0.444763i | \(-0.146712\pi\) |
−0.959072 | + | 0.283161i | \(0.908617\pi\) | |||||||
\(152\) | 4.33760 | − | 1.33797i | 0.351826 | − | 0.108524i | ||||
\(153\) | 1.49258 | + | 6.53944i | 0.120668 | + | 0.528682i | ||||
\(154\) | −2.06903 | + | 0.904300i | −0.166727 | + | 0.0728706i | ||||
\(155\) | −0.754066 | + | 3.30378i | −0.0605680 | + | 0.265366i | ||||
\(156\) | 0.162948 | + | 2.17438i | 0.0130462 | + | 0.174090i | ||||
\(157\) | −6.18985 | − | 1.90932i | −0.494004 | − | 0.152380i | 0.0377358 | − | 0.999288i | \(-0.487985\pi\) |
−0.531740 | + | 0.846908i | \(0.678462\pi\) | |||||||
\(158\) | 0.288134 | − | 3.84489i | 0.0229227 | − | 0.305883i | ||||
\(159\) | −1.47372 | + | 3.75499i | −0.116874 | + | 0.297790i | ||||
\(160\) | −2.85922 | + | 1.37693i | −0.226041 | + | 0.108856i | ||||
\(161\) | 2.35196 | + | 1.73348i | 0.185361 | + | 0.136618i | ||||
\(162\) | −0.207457 | − | 0.0999062i | −0.0162994 | − | 0.00784937i | ||||
\(163\) | 2.49089 | − | 2.31121i | 0.195101 | − | 0.181028i | −0.576573 | − | 0.817046i | \(-0.695610\pi\) |
0.771674 | + | 0.636018i | \(0.219420\pi\) | |||||||
\(164\) | −8.39345 | + | 1.26511i | −0.655419 | + | 0.0987884i | ||||
\(165\) | −2.20592 | + | 3.82077i | −0.171731 | + | 0.297447i | ||||
\(166\) | −1.55129 | − | 2.68692i | −0.120404 | − | 0.208546i | ||||
\(167\) | −1.44643 | − | 1.81377i | −0.111928 | − | 0.140354i | 0.722711 | − | 0.691150i | \(-0.242896\pi\) |
−0.834640 | + | 0.550796i | \(0.814324\pi\) | |||||||
\(168\) | 2.38925 | − | 0.270767i | 0.184335 | − | 0.0208901i | ||||
\(169\) | −7.32336 | + | 9.18320i | −0.563335 | + | 0.706400i | ||||
\(170\) | 1.81790 | + | 0.274004i | 0.139426 | + | 0.0210151i | ||||
\(171\) | −4.12675 | + | 2.81357i | −0.315580 | + | 0.215159i | ||||
\(172\) | −15.6553 | + | 10.6736i | −1.19370 | + | 0.813854i | ||||
\(173\) | −1.84311 | − | 0.277804i | −0.140129 | − | 0.0211211i | 0.0786031 | − | 0.996906i | \(-0.474954\pi\) |
−0.218732 | + | 0.975785i | \(0.570192\pi\) | |||||||
\(174\) | 0.996584 | − | 1.24968i | 0.0755509 | − | 0.0947378i | ||||
\(175\) | 9.41985 | − | 1.06752i | 0.712074 | − | 0.0806972i | ||||
\(176\) | 8.51511 | + | 10.6776i | 0.641850 | + | 0.804855i | ||||
\(177\) | −7.13739 | − | 12.3623i | −0.536479 | − | 0.929210i | ||||
\(178\) | 0.708821 | − | 1.22771i | 0.0531284 | − | 0.0920210i | ||||
\(179\) | 14.3861 | − | 2.16835i | 1.07526 | − | 0.162070i | 0.412545 | − | 0.910937i | \(-0.364640\pi\) |
0.662720 | + | 0.748867i | \(0.269402\pi\) | |||||||
\(180\) | 1.69886 | − | 1.57631i | 0.126625 | − | 0.117491i | ||||
\(181\) | 8.09337 | + | 3.89756i | 0.601576 | + | 0.289704i | 0.709778 | − | 0.704425i | \(-0.248795\pi\) |
−0.108202 | + | 0.994129i | \(0.534509\pi\) | |||||||
\(182\) | −0.549218 | − | 0.404793i | −0.0407107 | − | 0.0300053i | ||||
\(183\) | 6.79071 | − | 3.27023i | 0.501984 | − | 0.241743i | ||||
\(184\) | −0.366672 | + | 0.934265i | −0.0270314 | + | 0.0688750i | ||||
\(185\) | 0.217537 | − | 2.90283i | 0.0159937 | − | 0.213421i | ||||
\(186\) | 0.626412 | + | 0.193223i | 0.0459308 | + | 0.0141678i | ||||
\(187\) | −1.85790 | − | 24.7920i | −0.135863 | − | 1.81297i | ||||
\(188\) | 3.39486 | − | 14.8738i | 0.247595 | − | 1.08479i | ||||
\(189\) | −2.42431 | + | 1.05958i | −0.176343 | + | 0.0770732i | ||||
\(190\) | 0.304616 | + | 1.33461i | 0.0220992 | + | 0.0968228i | ||||
\(191\) | 13.5189 | − | 4.17002i | 0.978191 | − | 0.301732i | 0.235876 | − | 0.971783i | \(-0.424204\pi\) |
0.742315 | + | 0.670051i | \(0.233728\pi\) | |||||||
\(192\) | −2.46806 | − | 6.28851i | −0.178117 | − | 0.453834i | ||||
\(193\) | 12.2377 | + | 11.3549i | 0.880890 | + | 0.817347i | 0.984156 | − | 0.177307i | \(-0.0567386\pi\) |
−0.103265 | + | 0.994654i | \(0.532929\pi\) | |||||||
\(194\) | −0.559966 | − | 0.381779i | −0.0402032 | − | 0.0274101i | ||||
\(195\) | −1.33307 | −0.0954628 | ||||||||
\(196\) | 7.66286 | − | 11.2706i | 0.547347 | − | 0.805043i | ||||
\(197\) | −26.2060 | −1.86710 | −0.933549 | − | 0.358450i | \(-0.883305\pi\) | ||||
−0.933549 | + | 0.358450i | \(0.883305\pi\) | |||||||
\(198\) | 0.705154 | + | 0.480766i | 0.0501131 | + | 0.0341665i | ||||
\(199\) | −3.17203 | − | 2.94321i | −0.224859 | − | 0.208639i | 0.559696 | − | 0.828698i | \(-0.310918\pi\) |
−0.784555 | + | 0.620059i | \(0.787108\pi\) | |||||||
\(200\) | 1.18973 | + | 3.03138i | 0.0841266 | + | 0.214351i | ||||
\(201\) | −3.24806 | + | 1.00189i | −0.229100 | + | 0.0706681i | ||||
\(202\) | 0.0306650 | + | 0.134352i | 0.00215758 | + | 0.00945299i | ||||
\(203\) | −3.42611 | − | 18.0436i | −0.240466 | − | 1.26641i | ||||
\(204\) | −2.90603 | + | 12.7322i | −0.203463 | + | 0.891429i | ||||
\(205\) | −0.387805 | − | 5.17490i | −0.0270855 | − | 0.361431i | ||||
\(206\) | −0.698213 | − | 0.215370i | −0.0486468 | − | 0.0150056i | ||||
\(207\) | 0.0825261 | − | 1.10123i | 0.00573596 | − | 0.0765410i | ||||
\(208\) | −1.50762 | + | 3.84134i | −0.104534 | + | 0.266349i | ||||
\(209\) | 16.6791 | − | 8.03221i | 1.15371 | − | 0.555600i | ||||
\(210\) | 0.0275823 | + | 0.724627i | 0.00190336 | + | 0.0500040i | ||||
\(211\) | −23.4337 | − | 11.2851i | −1.61325 | − | 0.776898i | −0.613329 | − | 0.789827i | \(-0.710170\pi\) |
−0.999916 | + | 0.0129291i | \(0.995884\pi\) | |||||||
\(212\) | −5.75723 | + | 5.34193i | −0.395408 | + | 0.366885i | ||||
\(213\) | 5.53922 | − | 0.834903i | 0.379541 | − | 0.0572066i | ||||
\(214\) | −2.01477 | + | 3.48968i | −0.137727 | + | 0.238549i | ||||
\(215\) | −5.79195 | − | 10.0320i | −0.395008 | − | 0.684173i | ||||
\(216\) | −0.566648 | − | 0.710554i | −0.0385555 | − | 0.0483471i | ||||
\(217\) | 6.37518 | − | 4.01153i | 0.432775 | − | 0.272321i | ||||
\(218\) | −1.02826 | + | 1.28940i | −0.0696425 | + | 0.0873289i | ||||
\(219\) | −1.40243 | − | 0.211382i | −0.0947673 | − | 0.0142839i | ||||
\(220\) | −7.09720 | + | 4.83879i | −0.478493 | + | 0.326231i | ||||
\(221\) | 6.20675 | − | 4.23169i | 0.417511 | − | 0.284654i | ||||
\(222\) | −0.556825 | − | 0.0839278i | −0.0373716 | − | 0.00563287i | ||||
\(223\) | −4.40502 | + | 5.52372i | −0.294982 | + | 0.369896i | −0.907132 | − | 0.420846i | \(-0.861733\pi\) |
0.612150 | + | 0.790741i | \(0.290305\pi\) | |||||||
\(224\) | 6.65951 | + | 2.32544i | 0.444957 | + | 0.155375i | ||||
\(225\) | −2.23406 | − | 2.80143i | −0.148937 | − | 0.186762i | ||||
\(226\) | −0.974374 | − | 1.68767i | −0.0648144 | − | 0.112262i | ||||
\(227\) | 8.67496 | − | 15.0255i | 0.575777 | − | 0.997275i | −0.420180 | − | 0.907441i | \(-0.638033\pi\) |
0.995957 | − | 0.0898344i | \(-0.0286338\pi\) | |||||||
\(228\) | −9.61581 | + | 1.44935i | −0.636822 | + | 0.0959855i | ||||
\(229\) | −21.4800 | + | 19.9306i | −1.41944 | + | 1.31705i | −0.539483 | + | 0.841996i | \(0.681380\pi\) |
−0.879958 | + | 0.475052i | \(0.842429\pi\) | |||||||
\(230\) | −0.272700 | − | 0.131325i | −0.0179813 | − | 0.00865934i | ||||
\(231\) | 9.47059 | − | 2.54419i | 0.623119 | − | 0.167396i | ||||
\(232\) | 5.68407 | − | 2.73730i | 0.373177 | − | 0.179713i | ||||
\(233\) | 10.2180 | − | 26.0349i | 0.669400 | − | 1.70560i | −0.0384684 | − | 0.999260i | \(-0.512248\pi\) |
0.707869 | − | 0.706344i | \(-0.249657\pi\) | |||||||
\(234\) | −0.0192710 | + | 0.257154i | −0.00125979 | + | 0.0168107i | ||||
\(235\) | 8.91279 | + | 2.74923i | 0.581406 | + | 0.179340i | ||||
\(236\) | −2.07695 | − | 27.7150i | −0.135198 | − | 1.80409i | ||||
\(237\) | −3.72608 | + | 16.3250i | −0.242035 | + | 1.06042i | ||||
\(238\) | −2.42868 | − | 3.28630i | −0.157428 | − | 0.213019i | ||||
\(239\) | −0.681307 | − | 2.98500i | −0.0440701 | − | 0.193084i | 0.948101 | − | 0.317969i | \(-0.103001\pi\) |
−0.992171 | + | 0.124885i | \(0.960144\pi\) | |||||||
\(240\) | 4.19108 | − | 1.29278i | 0.270533 | − | 0.0834484i | ||||
\(241\) | −0.574566 | − | 1.46397i | −0.0370110 | − | 0.0943025i | 0.911173 | − | 0.412023i | \(-0.135178\pi\) |
−0.948184 | + | 0.317721i | \(0.897083\pi\) | |||||||
\(242\) | −0.462130 | − | 0.428794i | −0.0297068 | − | 0.0275639i | ||||
\(243\) | 0.826239 | + | 0.563320i | 0.0530032 | + | 0.0361370i | ||||
\(244\) | 14.6746 | 0.939447 | ||||||||
\(245\) | 6.52107 | + | 5.18661i | 0.416616 | + | 0.331361i | ||||
\(246\) | −1.00387 | −0.0640042 | ||||||||
\(247\) | 4.62167 | + | 3.15100i | 0.294070 | + | 0.200493i | ||||
\(248\) | 1.89669 | + | 1.75987i | 0.120440 | + | 0.111752i | ||||
\(249\) | 4.92270 | + | 12.5428i | 0.311964 | + | 0.794871i | ||||
\(250\) | −2.24797 | + | 0.693407i | −0.142174 | + | 0.0438549i | ||||
\(251\) | 2.42089 | + | 10.6066i | 0.152805 | + | 0.669484i | 0.992062 | + | 0.125749i | \(0.0401333\pi\) |
−0.839257 | + | 0.543735i | \(0.817010\pi\) | |||||||
\(252\) | −5.14775 | − | 0.189286i | −0.324278 | − | 0.0119239i | ||||
\(253\) | −0.910806 | + | 3.99050i | −0.0572619 | + | 0.250881i | ||||
\(254\) | 0.129686 | + | 1.73054i | 0.00813720 | + | 0.108583i | ||||
\(255\) | −7.62943 | − | 2.35337i | −0.477774 | − | 0.147374i | ||||
\(256\) | 0.891157 | − | 11.8917i | 0.0556973 | − | 0.743229i | ||||
\(257\) | 5.36648 | − | 13.6736i | 0.334752 | − | 0.852934i | −0.660061 | − | 0.751212i | \(-0.729470\pi\) |
0.994813 | − | 0.101722i | \(-0.0324352\pi\) | |||||||
\(258\) | −2.01894 | + | 0.972269i | −0.125694 | + | 0.0605308i | ||||
\(259\) | −4.90160 | + | 4.22368i | −0.304571 | + | 0.262447i | ||||
\(260\) | −2.33842 | − | 1.12612i | −0.145023 | − | 0.0698393i | ||||
\(261\) | −5.08863 | + | 4.72155i | −0.314978 | + | 0.292257i | ||||
\(262\) | −2.50717 | + | 0.377895i | −0.154894 | + | 0.0233465i | ||||
\(263\) | −5.71663 | + | 9.90149i | −0.352502 | + | 0.610552i | −0.986687 | − | 0.162630i | \(-0.948002\pi\) |
0.634185 | + | 0.773181i | \(0.281336\pi\) | |||||||
\(264\) | 1.68428 | + | 2.91725i | 0.103660 | + | 0.179544i | ||||
\(265\) | −2.99370 | − | 3.75397i | −0.183901 | − | 0.230605i | ||||
\(266\) | 1.61719 | − | 2.57744i | 0.0991563 | − | 0.158033i | ||||
\(267\) | −3.83864 | + | 4.81350i | −0.234921 | + | 0.294581i | ||||
\(268\) | −6.54400 | − | 0.986349i | −0.399738 | − | 0.0602509i | ||||
\(269\) | 12.0801 | − | 8.23610i | 0.736539 | − | 0.502164i | −0.135999 | − | 0.990709i | \(-0.543425\pi\) |
0.872539 | + | 0.488545i | \(0.162472\pi\) | |||||||
\(270\) | 0.226457 | − | 0.154396i | 0.0137817 | − | 0.00939622i | ||||
\(271\) | 24.7952 | + | 3.73728i | 1.50620 | + | 0.227024i | 0.849686 | − | 0.527288i | \(-0.176791\pi\) |
0.656516 | + | 0.754312i | \(0.272029\pi\) | |||||||
\(272\) | −15.4098 | + | 19.3233i | −0.934359 | + | 1.17165i | ||||
\(273\) | 2.09655 | + | 2.09384i | 0.126889 | + | 0.126725i | ||||
\(274\) | 0.890210 | + | 1.11629i | 0.0537796 | + | 0.0674375i | ||||
\(275\) | 6.64042 | + | 11.5015i | 0.400432 | + | 0.693569i | ||||
\(276\) | 1.07505 | − | 1.86203i | 0.0647102 | − | 0.112081i | ||||
\(277\) | −7.39918 | + | 1.11525i | −0.444574 | + | 0.0670087i | −0.367514 | − | 0.930018i | \(-0.619791\pi\) |
−0.0770592 | + | 0.997027i | \(0.524553\pi\) | |||||||
\(278\) | −3.30834 | + | 3.06969i | −0.198421 | + | 0.184108i | ||||
\(279\) | −2.56500 | − | 1.23524i | −0.153563 | − | 0.0739518i | ||||
\(280\) | −1.14286 | + | 2.62408i | −0.0682989 | + | 0.156819i | ||||
\(281\) | 0.115260 | − | 0.0555061i | 0.00687581 | − | 0.00331121i | −0.430443 | − | 0.902618i | \(-0.641643\pi\) |
0.437318 | + | 0.899307i | \(0.355928\pi\) | |||||||
\(282\) | 0.659183 | − | 1.67957i | 0.0392538 | − | 0.100017i | ||||
\(283\) | −0.866464 | + | 11.5622i | −0.0515059 | + | 0.687299i | 0.910367 | + | 0.413802i | \(0.135799\pi\) |
−0.961873 | + | 0.273497i | \(0.911820\pi\) | |||||||
\(284\) | 10.4220 | + | 3.21477i | 0.618433 | + | 0.190761i | ||||
\(285\) | −0.444282 | − | 5.92853i | −0.0263170 | − | 0.351176i | ||||
\(286\) | 0.212687 | − | 0.931841i | 0.0125764 | − | 0.0551009i | ||||
\(287\) | −7.51829 | + | 8.74783i | −0.443791 | + | 0.516368i | ||||
\(288\) | −0.593264 | − | 2.59926i | −0.0349584 | − | 0.153163i | ||||
\(289\) | 26.7484 | − | 8.25079i | 1.57344 | − | 0.485341i | ||||
\(290\) | 0.695095 | + | 1.77107i | 0.0408174 | + | 0.104001i | ||||
\(291\) | 2.15761 | + | 2.00197i | 0.126481 | + | 0.117357i | ||||
\(292\) | −2.28153 | − | 1.55552i | −0.133516 | − | 0.0910299i | ||||
\(293\) | −13.0790 | −0.764085 | −0.382042 | − | 0.924145i | \(-0.624779\pi\) | ||||
−0.382042 | + | 0.924145i | \(0.624779\pi\) | |||||||
\(294\) | 1.09479 | − | 1.18296i | 0.0638495 | − | 0.0689919i | ||||
\(295\) | 16.9914 | 0.989280 | ||||||||
\(296\) | −1.83640 | − | 1.25204i | −0.106739 | − | 0.0727731i | ||||
\(297\) | −2.71703 | − | 2.52103i | −0.157658 | − | 0.146285i | ||||
\(298\) | 1.69470 | + | 4.31804i | 0.0981716 | + | 0.250137i | ||||
\(299\) | −1.18182 | + | 0.364542i | −0.0683462 | + | 0.0210820i | ||||
\(300\) | −1.55238 | − | 6.80143i | −0.0896268 | − | 0.392681i | ||||
\(301\) | −6.64800 | + | 24.8749i | −0.383185 | + | 1.43377i | ||||
\(302\) | 0.109303 | − | 0.478888i | 0.00628969 | − | 0.0275569i | ||||
\(303\) | −0.0447248 | − | 0.596812i | −0.00256938 | − | 0.0342859i | ||||
\(304\) | −17.5860 | − | 5.42457i | −1.00863 | − | 0.311120i | ||||
\(305\) | −0.670443 | + | 8.94644i | −0.0383895 | + | 0.512272i | ||||
\(306\) | −0.564268 | + | 1.43773i | −0.0322570 | + | 0.0821896i | ||||
\(307\) | −6.35216 | + | 3.05904i | −0.362537 | + | 0.174588i | −0.606280 | − | 0.795251i | \(-0.707339\pi\) |
0.243743 | + | 0.969840i | \(0.421625\pi\) | |||||||
\(308\) | 18.7623 | + | 3.53746i | 1.06908 | + | 0.201566i | ||||
\(309\) | 2.85901 | + | 1.37682i | 0.162643 | + | 0.0783248i | ||||
\(310\) | −0.571995 | + | 0.530734i | −0.0324871 | + | 0.0301436i | ||||
\(311\) | −24.3600 | + | 3.67167i | −1.38133 | + | 0.208202i | −0.797325 | − | 0.603550i | \(-0.793752\pi\) |
−0.584002 | + | 0.811752i | \(0.698514\pi\) | |||||||
\(312\) | −0.508914 | + | 0.881465i | −0.0288116 | + | 0.0499032i | ||||
\(313\) | −13.2094 | − | 22.8793i | −0.746638 | − | 1.29321i | −0.949426 | − | 0.313992i | \(-0.898333\pi\) |
0.202788 | − | 0.979223i | \(-0.435000\pi\) | |||||||
\(314\) | −0.929961 | − | 1.16613i | −0.0524808 | − | 0.0658088i | ||||
\(315\) | 0.350585 | − | 3.12969i | 0.0197532 | − | 0.176338i | ||||
\(316\) | −20.3269 | + | 25.4892i | −1.14348 | + | 1.43388i | ||||
\(317\) | −16.8687 | − | 2.54255i | −0.947443 | − | 0.142804i | −0.342896 | − | 0.939373i | \(-0.611408\pi\) |
−0.604547 | + | 0.796569i | \(0.706646\pi\) | |||||||
\(318\) | −0.767436 | + | 0.523229i | −0.0430357 | + | 0.0293412i | ||||
\(319\) | 21.2584 | − | 14.4937i | 1.19024 | − | 0.811494i | ||||
\(320\) | 7.95132 | + | 1.19847i | 0.444493 | + | 0.0669965i | ||||
\(321\) | 10.9110 | − | 13.6820i | 0.608993 | − | 0.763654i | ||||
\(322\) | 0.222610 | + | 0.634868i | 0.0124056 | + | 0.0353798i | ||||
\(323\) | 20.8881 | + | 26.1929i | 1.16225 | + | 1.45741i | ||||
\(324\) | 0.973490 | + | 1.68613i | 0.0540828 | + | 0.0936741i | ||||
\(325\) | −2.00644 | + | 3.47526i | −0.111297 | + | 0.192773i | ||||
\(326\) | 0.773678 | − | 0.116613i | 0.0428501 | − | 0.00645861i | ||||
\(327\) | 5.25036 | − | 4.87162i | 0.290346 | − | 0.269401i | ||||
\(328\) | −3.56986 | − | 1.71915i | −0.197112 | − | 0.0949243i | ||||
\(329\) | −9.69918 | − | 18.3231i | −0.534733 | − | 1.01018i | ||||
\(330\) | −0.915269 | + | 0.440770i | −0.0503839 | + | 0.0242636i | ||||
\(331\) | −4.35015 | + | 11.0840i | −0.239106 | + | 0.609232i | −0.999175 | − | 0.0406102i | \(-0.987070\pi\) |
0.760069 | + | 0.649842i | \(0.225165\pi\) | |||||||
\(332\) | −1.96048 | + | 26.1608i | −0.107595 | + | 1.43576i | ||||
\(333\) | 2.33691 | + | 0.720840i | 0.128062 | + | 0.0395018i | ||||
\(334\) | −0.0399193 | − | 0.532686i | −0.00218429 | − | 0.0291473i | ||||
\(335\) | 0.900309 | − | 3.94451i | 0.0491891 | − | 0.215512i | ||||
\(336\) | −8.62199 | − | 4.54973i | −0.470368 | − | 0.248208i | ||||
\(337\) | −6.35533 | − | 27.8445i | −0.346197 | − | 1.51679i | −0.785735 | − | 0.618563i | \(-0.787715\pi\) |
0.439538 | − | 0.898224i | \(-0.355142\pi\) | |||||||
\(338\) | −2.58442 | + | 0.797189i | −0.140574 | + | 0.0433614i | ||||
\(339\) | 3.09197 | + | 7.87821i | 0.167933 | + | 0.427886i | ||||
\(340\) | −11.3953 | − | 10.5733i | −0.617995 | − | 0.573416i | ||||
\(341\) | 8.71852 | + | 5.94419i | 0.472134 | + | 0.321896i | ||||
\(342\) | −1.15006 | −0.0621882 | ||||||||
\(343\) | −2.10926 | − | 18.3998i | −0.113890 | − | 0.993493i | ||||
\(344\) | −8.84459 | −0.476869 | ||||||||
\(345\) | 1.08608 | + | 0.740477i | 0.0584726 | + | 0.0398659i | ||||
\(346\) | −0.314617 | − | 0.291922i | −0.0169139 | − | 0.0156938i | ||||
\(347\) | 3.45745 | + | 8.80945i | 0.185606 | + | 0.472916i | 0.993144 | − | 0.116900i | \(-0.0372956\pi\) |
−0.807538 | + | 0.589816i | \(0.799200\pi\) | |||||||
\(348\) | −12.9149 | + | 3.98372i | −0.692311 | + | 0.213550i | ||||
\(349\) | 3.65715 | + | 16.0230i | 0.195763 | + | 0.857692i | 0.973424 | + | 0.229009i | \(0.0735486\pi\) |
−0.777662 | + | 0.628683i | \(0.783594\pi\) | |||||||
\(350\) | 1.93059 | + | 1.01875i | 0.103195 | + | 0.0544547i | ||||
\(351\) | 0.249208 | − | 1.09185i | 0.0133017 | − | 0.0582787i | ||||
\(352\) | 0.738468 | + | 9.85418i | 0.0393605 | + | 0.525229i | ||||
\(353\) | 16.0177 | + | 4.94082i | 0.852538 | + | 0.262973i | 0.690072 | − | 0.723741i | \(-0.257579\pi\) |
0.162466 | + | 0.986714i | \(0.448055\pi\) | |||||||
\(354\) | 0.245632 | − | 3.27772i | 0.0130552 | − | 0.174209i | ||||
\(355\) | −2.43605 | + | 6.20695i | −0.129292 | + | 0.329431i | ||||
\(356\) | −10.7999 | + | 5.20095i | −0.572392 | + | 0.275650i | ||||
\(357\) | 8.30259 | + | 15.6847i | 0.439420 | + | 0.830125i | ||||
\(358\) | 3.01820 | + | 1.45349i | 0.159517 | + | 0.0768193i | ||||
\(359\) | −17.2997 | + | 16.0518i | −0.913045 | + | 0.847182i | −0.988693 | − | 0.149952i | \(-0.952088\pi\) |
0.0756480 | + | 0.997135i | \(0.475897\pi\) | |||||||
\(360\) | 1.06971 | − | 0.161233i | 0.0563787 | − | 0.00849773i | ||||
\(361\) | −2.97310 | + | 5.14956i | −0.156479 | + | 0.271030i | ||||
\(362\) | 1.03421 | + | 1.79130i | 0.0543569 | + | 0.0941488i | ||||
\(363\) | 1.70702 | + | 2.14054i | 0.0895956 | + | 0.112349i | ||||
\(364\) | 1.90890 | + | 5.44404i | 0.100054 | + | 0.285345i | ||||
\(365\) | 1.05256 | − | 1.31987i | 0.0550938 | − | 0.0690854i | ||||
\(366\) | 1.71612 | + | 0.258663i | 0.0897028 | + | 0.0135205i | ||||
\(367\) | 20.6308 | − | 14.0659i | 1.07692 | − | 0.734232i | 0.111196 | − | 0.993799i | \(-0.464532\pi\) |
0.965725 | + | 0.259566i | \(0.0835796\pi\) | |||||||
\(368\) | 3.36204 | − | 2.29220i | 0.175258 | − | 0.119489i | ||||
\(369\) | 4.31101 | + | 0.649780i | 0.224422 | + | 0.0338262i | ||||
\(370\) | 0.417914 | − | 0.524047i | 0.0217263 | − | 0.0272439i | ||||
\(371\) | −1.18809 | + | 10.6062i | −0.0616827 | + | 0.550645i | ||||
\(372\) | −3.45596 | − | 4.33364i | −0.179183 | − | 0.224689i | ||||
\(373\) | 3.91904 | + | 6.78798i | 0.202920 | + | 0.351468i | 0.949468 | − | 0.313864i | \(-0.101623\pi\) |
−0.746548 | + | 0.665332i | \(0.768290\pi\) | |||||||
\(374\) | 2.86231 | − | 4.95766i | 0.148006 | − | 0.256354i | ||||
\(375\) | 10.1025 | − | 1.52271i | 0.521692 | − | 0.0786324i | ||||
\(376\) | 5.22044 | − | 4.84386i | 0.269224 | − | 0.249803i | ||||
\(377\) | 7.00433 | + | 3.37311i | 0.360741 | + | 0.173724i | ||||
\(378\) | −0.598664 | − | 0.112873i | −0.0307919 | − | 0.00580555i | ||||
\(379\) | 21.6880 | − | 10.4444i | 1.11404 | − | 0.536492i | 0.215992 | − | 0.976395i | \(-0.430702\pi\) |
0.898045 | + | 0.439903i | \(0.144987\pi\) | |||||||
\(380\) | 4.22886 | − | 10.7750i | 0.216936 | − | 0.552743i | ||||
\(381\) | 0.563214 | − | 7.51556i | 0.0288543 | − | 0.385034i | ||||
\(382\) | 3.11286 | + | 0.960189i | 0.159268 | + | 0.0491275i | ||||
\(383\) | 2.22748 | + | 29.7236i | 0.113819 | + | 1.51880i | 0.703225 | + | 0.710968i | \(0.251743\pi\) |
−0.589406 | + | 0.807837i | \(0.700638\pi\) | |||||||
\(384\) | 1.53266 | − | 6.71504i | 0.0782134 | − | 0.342675i | ||||
\(385\) | −3.01382 | + | 11.2769i | −0.153599 | + | 0.574722i | ||||
\(386\) | 0.855373 | + | 3.74763i | 0.0435373 | + | 0.190750i | ||||
\(387\) | 9.29946 | − | 2.86850i | 0.472718 | − | 0.145814i | ||||
\(388\) | 2.09362 | + | 5.33445i | 0.106287 | + | 0.270816i | ||||
\(389\) | −22.0653 | − | 20.4736i | −1.11876 | − | 1.03805i | −0.998976 | − | 0.0452536i | \(-0.985590\pi\) |
−0.119781 | − | 0.992800i | \(-0.538219\pi\) | |||||||
\(390\) | −0.253616 | − | 0.172912i | −0.0128423 | − | 0.00875575i | ||||
\(391\) | −7.40736 | −0.374606 | ||||||||
\(392\) | 5.91905 | − | 2.33188i | 0.298957 | − | 0.117778i | ||||
\(393\) | 11.0114 | 0.555453 | ||||||||
\(394\) | −4.98568 | − | 3.39918i | −0.251175 | − | 0.171248i | ||||
\(395\) | −14.6109 | − | 13.5569i | −0.735153 | − | 0.682122i | ||||
\(396\) | −2.63645 | − | 6.71756i | −0.132487 | − | 0.337570i | ||||
\(397\) | 5.79883 | − | 1.78870i | 0.291035 | − | 0.0897724i | −0.145800 | − | 0.989314i | \(-0.546576\pi\) |
0.436835 | + | 0.899542i | \(0.356099\pi\) | |||||||
\(398\) | −0.221714 | − | 0.971390i | −0.0111135 | − | 0.0486914i | ||||
\(399\) | −8.61319 | + | 10.0218i | −0.431199 | + | 0.501717i | ||||
\(400\) | 2.93791 | − | 12.8718i | 0.146895 | − | 0.643591i | ||||
\(401\) | −1.90623 | − | 25.4368i | −0.0951924 | − | 1.27025i | −0.816380 | − | 0.577515i | \(-0.804023\pi\) |
0.721188 | − | 0.692739i | \(-0.243596\pi\) | |||||||
\(402\) | −0.747898 | − | 0.230696i | −0.0373018 | − | 0.0115061i | ||||
\(403\) | −0.238267 | + | 3.17945i | −0.0118689 | + | 0.158380i | ||||
\(404\) | 0.425709 | − | 1.08469i | 0.0211798 | − | 0.0539653i | ||||
\(405\) | −1.07243 | + | 0.516457i | −0.0532897 | + | 0.0256630i | ||||
\(406\) | 1.68862 | − | 3.87720i | 0.0838050 | − | 0.192422i | ||||
\(407\) | −8.16670 | − | 3.93288i | −0.404808 | − | 0.194945i | ||||
\(408\) | −4.46875 | + | 4.14640i | −0.221236 | + | 0.205277i | ||||
\(409\) | 4.23974 | − | 0.639038i | 0.209641 | − | 0.0315984i | −0.0433818 | − | 0.999059i | \(-0.513813\pi\) |
0.253023 | + | 0.967460i | \(0.418575\pi\) | |||||||
\(410\) | 0.597457 | − | 1.03483i | 0.0295063 | − | 0.0511064i | ||||
\(411\) | −3.10038 | − | 5.37001i | −0.152930 | − | 0.264883i | ||||
\(412\) | 3.85209 | + | 4.83036i | 0.189779 | + | 0.237975i | ||||
\(413\) | −26.7229 | − | 26.6884i | −1.31495 | − | 1.31325i | ||||
\(414\) | 0.158542 | − | 0.198805i | 0.00779191 | − | 0.00977074i | ||||
\(415\) | −15.8594 | − | 2.39043i | −0.778510 | − | 0.117341i | ||||
\(416\) | −2.46702 | + | 1.68199i | −0.120956 | + | 0.0824663i | ||||
\(417\) | 16.1943 | − | 11.0411i | 0.793038 | − | 0.540684i | ||||
\(418\) | 4.21505 | + | 0.635316i | 0.206165 | + | 0.0310743i | ||||
\(419\) | 4.11418 | − | 5.15902i | 0.200991 | − | 0.252035i | −0.671113 | − | 0.741355i | \(-0.734184\pi\) |
0.872104 | + | 0.489320i | \(0.162755\pi\) | |||||||
\(420\) | 3.25884 | − | 5.19385i | 0.159015 | − | 0.253434i | ||||
\(421\) | 1.74087 | + | 2.18298i | 0.0848448 | + | 0.106392i | 0.822442 | − | 0.568849i | \(-0.192611\pi\) |
−0.737597 | + | 0.675241i | \(0.764040\pi\) | |||||||
\(422\) | −2.99448 | − | 5.18659i | −0.145769 | − | 0.252479i | ||||
\(423\) | −3.91795 | + | 6.78609i | −0.190497 | + | 0.329951i | ||||
\(424\) | −3.62513 | + | 0.546400i | −0.176052 | + | 0.0265355i | ||||
\(425\) | −17.6185 | + | 16.3476i | −0.854622 | + | 0.792973i | ||||
\(426\) | 1.16213 | + | 0.559653i | 0.0563055 | + | 0.0271153i | ||||
\(427\) | 15.1066 | − | 13.0173i | 0.731059 | − | 0.629949i | ||||
\(428\) | 30.6978 | − | 14.7833i | 1.48383 | − | 0.714577i | ||||
\(429\) | −1.51652 | + | 3.86403i | −0.0732184 | + | 0.186557i | ||||
\(430\) | 0.199328 | − | 2.65985i | 0.00961247 | − | 0.128269i | ||||
\(431\) | −25.5749 | − | 7.88882i | −1.23190 | − | 0.379991i | −0.390601 | − | 0.920560i | \(-0.627733\pi\) |
−0.841300 | + | 0.540569i | \(0.818209\pi\) | |||||||
\(432\) | 0.275357 | + | 3.67439i | 0.0132481 | + | 0.176784i | ||||
\(433\) | 4.70415 | − | 20.6102i | 0.226067 | − | 0.990464i | −0.726746 | − | 0.686906i | \(-0.758968\pi\) |
0.952813 | − | 0.303558i | \(-0.0981745\pi\) | |||||||
\(434\) | 1.73321 | + | 0.0637314i | 0.0831969 | + | 0.00305921i | ||||
\(435\) | −1.83864 | − | 8.05562i | −0.0881562 | − | 0.386237i | ||||
\(436\) | 13.3254 | − | 4.11034i | 0.638170 | − | 0.196849i | ||||
\(437\) | −2.01510 | − | 5.13439i | −0.0963952 | − | 0.245611i | ||||
\(438\) | −0.239394 | − | 0.222125i | −0.0114387 | − | 0.0106135i | ||||
\(439\) | 12.4528 | + | 8.49015i | 0.594338 | + | 0.405213i | 0.822792 | − | 0.568342i | \(-0.192415\pi\) |
−0.228455 | + | 0.973555i | \(0.573367\pi\) | |||||||
\(440\) | −4.00963 | −0.191152 | ||||||||
\(441\) | −5.46718 | + | 4.37149i | −0.260342 | + | 0.208166i | ||||
\(442\) | 1.72973 | 0.0822747 | ||||||||
\(443\) | 6.25764 | + | 4.26638i | 0.297309 | + | 0.202702i | 0.702782 | − | 0.711405i | \(-0.251941\pi\) |
−0.405473 | + | 0.914107i | \(0.632893\pi\) | |||||||
\(444\) | 3.49039 | + | 3.23861i | 0.165647 | + | 0.153698i | ||||
\(445\) | −2.67736 | − | 6.82180i | −0.126919 | − | 0.323384i | ||||
\(446\) | −1.55454 | + | 0.479511i | −0.0736095 | + | 0.0227055i | ||||
\(447\) | −4.48278 | − | 19.6403i | −0.212028 | − | 0.928956i | ||||
\(448\) | −10.6228 | − | 14.3740i | −0.501882 | − | 0.679107i | ||||
\(449\) | 3.06450 | − | 13.4265i | 0.144623 | − | 0.633634i | −0.849703 | − | 0.527261i | \(-0.823219\pi\) |
0.994326 | − | 0.106373i | \(-0.0339238\pi\) | |||||||
\(450\) | −0.0616567 | − | 0.822752i | −0.00290653 | − | 0.0387849i | ||||
\(451\) | −15.4412 | − | 4.76297i | −0.727097 | − | 0.224280i | ||||
\(452\) | −1.23138 | + | 16.4317i | −0.0579195 | + | 0.772882i | ||||
\(453\) | −0.779366 | + | 1.98579i | −0.0366178 | + | 0.0933006i | ||||
\(454\) | 3.59937 | − | 1.73336i | 0.168927 | − | 0.0813508i | ||||
\(455\) | −3.40619 | + | 0.915044i | −0.159685 | + | 0.0428979i | ||||
\(456\) | −4.08974 | − | 1.96952i | −0.191520 | − | 0.0922310i | ||||
\(457\) | −6.97792 | + | 6.47456i | −0.326413 | + | 0.302867i | −0.826308 | − | 0.563219i | \(-0.809563\pi\) |
0.499894 | + | 0.866086i | \(0.333372\pi\) | |||||||
\(458\) | −6.67177 | + | 1.00561i | −0.311751 | + | 0.0469890i | ||||
\(459\) | 3.35380 | − | 5.80896i | 0.156542 | − | 0.271139i | ||||
\(460\) | 1.27964 | + | 2.21640i | 0.0596635 | + | 0.103340i | ||||
\(461\) | 3.84992 | + | 4.82765i | 0.179309 | + | 0.224846i | 0.863361 | − | 0.504587i | \(-0.168355\pi\) |
−0.684052 | + | 0.729433i | \(0.739784\pi\) | |||||||
\(462\) | 2.13179 | + | 0.744399i | 0.0991797 | + | 0.0346326i | ||||
\(463\) | 5.91446 | − | 7.41650i | 0.274868 | − | 0.344674i | −0.625167 | − | 0.780491i | \(-0.714969\pi\) |
0.900035 | + | 0.435817i | \(0.143541\pi\) | |||||||
\(464\) | −25.2923 | − | 3.81221i | −1.17417 | − | 0.176977i | ||||
\(465\) | 2.79991 | − | 1.90895i | 0.129843 | − | 0.0885252i | ||||
\(466\) | 5.32096 | − | 3.62777i | 0.246489 | − | 0.168053i | ||||
\(467\) | 30.6778 | + | 4.62394i | 1.41960 | + | 0.213970i | 0.813568 | − | 0.581470i | \(-0.197522\pi\) |
0.606032 | + | 0.795440i | \(0.292760\pi\) | |||||||
\(468\) | 1.35951 | − | 1.70477i | 0.0628433 | − | 0.0788030i | ||||
\(469\) | −7.61157 | + | 4.78953i | −0.351470 | + | 0.221160i | ||||
\(470\) | 1.33905 | + | 1.67912i | 0.0617659 | + | 0.0774520i | ||||
\(471\) | 3.23882 | + | 5.60980i | 0.149237 | + | 0.258486i | ||||
\(472\) | 6.48670 | − | 11.2353i | 0.298574 | − | 0.517146i | ||||
\(473\) | −35.6677 | + | 5.37605i | −1.64000 | + | 0.247191i | ||||
\(474\) | −2.82640 | + | 2.62252i | −0.129821 | + | 0.120456i | ||||
\(475\) | −16.1242 | − | 7.76500i | −0.739829 | − | 0.356283i | ||||
\(476\) | 1.31425 | + | 34.5274i | 0.0602387 | + | 1.58256i | ||||
\(477\) | 3.63435 | − | 1.75021i | 0.166406 | − | 0.0801367i | ||||
\(478\) | 0.257567 | − | 0.656269i | 0.0117808 | − | 0.0300170i | ||||
\(479\) | −1.80930 | + | 24.1434i | −0.0826688 | + | 1.10314i | 0.789440 | + | 0.613827i | \(0.210371\pi\) |
−0.872109 | + | 0.489311i | \(0.837248\pi\) | |||||||
\(480\) | 3.03250 | + | 0.935404i | 0.138414 | + | 0.0426951i | ||||
\(481\) | −0.204675 | − | 2.73119i | −0.00933236 | − | 0.124532i | ||||
\(482\) | 0.0805807 | − | 0.353047i | 0.00367035 | − | 0.0160809i | ||||
\(483\) | −0.545043 | − | 2.87047i | −0.0248003 | − | 0.130611i | ||||
\(484\) | 1.18616 | + | 5.19690i | 0.0539163 | + | 0.236223i | ||||
\(485\) | −3.34782 | + | 1.03267i | −0.152017 | + | 0.0468909i | ||||
\(486\) | 0.0841235 | + | 0.214343i | 0.00381592 | + | 0.00972280i | ||||
\(487\) | −7.60487 | − | 7.05629i | −0.344610 | − | 0.319751i | 0.488811 | − | 0.872389i | \(-0.337431\pi\) |
−0.833421 | + | 0.552638i | \(0.813621\pi\) | |||||||
\(488\) | 5.65972 | + | 3.85873i | 0.256204 | + | 0.174677i | ||||
\(489\) | −3.39797 | −0.153661 | ||||||||
\(490\) | 0.567876 | + | 1.83260i | 0.0256540 | + | 0.0827885i | ||||
\(491\) | −18.0610 | −0.815083 | −0.407541 | − | 0.913187i | \(-0.633614\pi\) | ||||
−0.407541 | + | 0.913187i | \(0.633614\pi\) | |||||||
\(492\) | 7.01333 | + | 4.78161i | 0.316185 | + | 0.215571i | ||||
\(493\) | 34.1325 | + | 31.6703i | 1.53725 | + | 1.42636i | ||||
\(494\) | 0.470555 | + | 1.19895i | 0.0211713 | + | 0.0539435i | ||||
\(495\) | 4.21584 | − | 1.30041i | 0.189488 | − | 0.0584493i | ||||
\(496\) | −2.33426 | − | 10.2271i | −0.104812 | − | 0.459209i | ||||
\(497\) | 13.5805 | − | 5.93555i | 0.609168 | − | 0.266246i | ||||
\(498\) | −0.690391 | + | 3.02480i | −0.0309372 | + | 0.135545i | ||||
\(499\) | 1.33757 | + | 17.8487i | 0.0598780 | + | 0.799016i | 0.943618 | + | 0.331037i | \(0.107399\pi\) |
−0.883740 | + | 0.467979i | \(0.844982\pi\) | |||||||
\(500\) | 19.0079 | + | 5.86315i | 0.850057 | + | 0.262208i | ||||
\(501\) | −0.173366 | + | 2.31341i | −0.00774542 | + | 0.103355i | ||||
\(502\) | −0.915212 | + | 2.33192i | −0.0408479 | + | 0.104079i | ||||
\(503\) | 24.1448 | − | 11.6275i | 1.07656 | − | 0.518445i | 0.190346 | − | 0.981717i | \(-0.439039\pi\) |
0.886216 | + | 0.463273i | \(0.153325\pi\) | |||||||
\(504\) | −1.93561 | − | 1.42662i | −0.0862191 | − | 0.0635466i | ||||
\(505\) | 0.641836 | + | 0.309092i | 0.0285613 | + | 0.0137544i | ||||
\(506\) | −0.690890 | + | 0.641052i | −0.0307138 | + | 0.0284982i | ||||
\(507\) | 11.6146 | − | 1.75061i | 0.515821 | − | 0.0777475i | ||||
\(508\) | 7.33684 | − | 12.7078i | 0.325520 | − | 0.563817i | ||||
\(509\) | −3.91971 | − | 6.78913i | −0.173738 | − | 0.300923i | 0.765986 | − | 0.642857i | \(-0.222251\pi\) |
−0.939724 | + | 0.341934i | \(0.888918\pi\) | |||||||
\(510\) | −1.14624 | − | 1.43734i | −0.0507565 | − | 0.0636466i | ||||
\(511\) | −3.72852 | + | 0.422542i | −0.164940 | + | 0.0186922i | ||||
\(512\) | 10.3009 | − | 12.9169i | 0.455238 | − | 0.570851i | ||||
\(513\) | 4.93883 | + | 0.744409i | 0.218055 | + | 0.0328665i | ||||
\(514\) | 2.79458 | − | 1.90531i | 0.123263 | − | 0.0840396i | ||||
\(515\) | −3.12084 | + | 2.12775i | −0.137521 | + | 0.0937600i | ||||
\(516\) | 18.7360 | + | 2.82400i | 0.824808 | + | 0.124320i | ||||
\(517\) | 18.1083 | − | 22.7071i | 0.796402 | − | 0.998657i | ||||
\(518\) | −1.48038 | + | 0.167767i | −0.0650443 | + | 0.00737128i | ||||
\(519\) | 1.16214 | + | 1.45728i | 0.0510123 | + | 0.0639674i | ||||
\(520\) | −0.605767 | − | 1.04922i | −0.0265646 | − | 0.0460113i | ||||
\(521\) | 13.6714 | − | 23.6795i | 0.598953 | − | 1.03742i | −0.394023 | − | 0.919100i | \(-0.628917\pi\) |
0.992976 | − | 0.118316i | \(-0.0377496\pi\) | |||||||
\(522\) | −1.58054 | + | 0.238229i | −0.0691785 | + | 0.0104270i | ||||
\(523\) | −22.1090 | + | 20.5142i | −0.966760 | + | 0.897023i | −0.994724 | − | 0.102586i | \(-0.967288\pi\) |
0.0279637 | + | 0.999609i | \(0.491098\pi\) | |||||||
\(524\) | 19.3159 | + | 9.30204i | 0.843818 | + | 0.406362i | ||||
\(525\) | −7.63134 | − | 5.62457i | −0.333059 | − | 0.245477i | ||||
\(526\) | −2.37191 | + | 1.14225i | −0.103420 | + | 0.0498046i | ||||
\(527\) | −6.97660 | + | 17.7761i | −0.303905 | + | 0.774339i | ||||
\(528\) | 1.02060 | − | 13.6190i | 0.0444160 | − | 0.592690i | ||||
\(529\) | −20.8128 | − | 6.41991i | −0.904906 | − | 0.279126i | ||||
\(530\) | −0.0826214 | − | 1.10251i | −0.00358885 | − | 0.0478898i | ||||
\(531\) | −3.17644 | + | 13.9169i | −0.137846 | + | 0.603942i | ||||
\(532\) | −23.5750 | + | 10.3038i | −1.02211 | + | 0.446727i | ||||
\(533\) | −1.08647 | − | 4.76015i | −0.0470603 | − | 0.206185i | ||||
\(534\) | −1.35466 | + | 0.417857i | −0.0586219 | + | 0.0180825i | ||||
\(535\) | 7.61018 | + | 19.3904i | 0.329017 | + | 0.838321i | ||||
\(536\) | −2.26453 | − | 2.10118i | −0.0978129 | − | 0.0907571i | ||||
\(537\) | −12.0206 | − | 8.19549i | −0.518726 | − | 0.353662i | ||||
\(538\) | 3.36655 | 0.145142 | ||||||||
\(539\) | 22.4525 | − | 13.0016i | 0.967096 | − | 0.560020i | ||||
\(540\) | −2.31751 | −0.0997299 | ||||||||
\(541\) | −16.2272 | − | 11.0635i | −0.697664 | − | 0.475659i | 0.161821 | − | 0.986820i | \(-0.448263\pi\) |
−0.859485 | + | 0.511161i | \(0.829216\pi\) | |||||||
\(542\) | 4.23253 | + | 3.92721i | 0.181803 | + | 0.168688i | ||||
\(543\) | −3.28185 | − | 8.36201i | −0.140837 | − | 0.358848i | ||||
\(544\) | −17.0887 | + | 5.27116i | −0.732671 | + | 0.225999i | ||||
\(545\) | 1.89708 | + | 8.31166i | 0.0812620 | + | 0.356032i | ||||
\(546\) | 0.127276 | + | 0.670297i | 0.00544689 | + | 0.0286861i | ||||
\(547\) | −8.66645 | + | 37.9702i | −0.370551 | + | 1.62349i | 0.354683 | + | 0.934987i | \(0.384589\pi\) |
−0.725234 | + | 0.688503i | \(0.758268\pi\) | |||||||
\(548\) | −0.902197 | − | 12.0390i | −0.0385400 | − | 0.514280i | ||||
\(549\) | −7.20227 | − | 2.22161i | −0.307385 | − | 0.0948158i | ||||
\(550\) | −0.228528 | + | 3.04950i | −0.00974448 | + | 0.130031i | ||||
\(551\) | −12.6668 | + | 32.2744i | −0.539623 | + | 1.37494i | ||||
\(552\) | 0.904252 | − | 0.435465i | 0.0384875 | − | 0.0185346i | ||||
\(553\) | 1.68512 | + | 44.2706i | 0.0716586 | + | 1.88258i | ||||
\(554\) | −1.55235 | − | 0.747573i | −0.0659531 | − | 0.0317613i | ||||
\(555\) | −2.13389 | + | 1.97996i | −0.0905788 | + | 0.0840448i | ||||
\(556\) | 37.7346 | − | 5.68758i | 1.60030 | − | 0.241207i | ||||
\(557\) | −15.7975 | + | 27.3620i | −0.669360 | + | 1.15937i | 0.308723 | + | 0.951152i | \(0.400098\pi\) |
−0.978083 | + | 0.208214i | \(0.933235\pi\) | |||||||
\(558\) | −0.327768 | − | 0.567711i | −0.0138755 | − | 0.0240331i | ||||
\(559\) | −6.79539 | − | 8.52115i | −0.287414 | − | 0.360406i | ||||
\(560\) | 9.82147 | − | 6.18009i | 0.415033 | − | 0.261157i | ||||
\(561\) | −15.5009 | + | 19.4375i | −0.654448 | + | 0.820652i | ||||
\(562\) | 0.0291278 | + | 0.00439031i | 0.00122868 | + | 0.000185194i | ||||
\(563\) | −10.1391 | + | 6.91273i | −0.427313 | + | 0.291337i | −0.757817 | − | 0.652468i | \(-0.773734\pi\) |
0.330504 | + | 0.943805i | \(0.392781\pi\) | |||||||
\(564\) | −12.6054 | + | 8.59420i | −0.530782 | + | 0.361881i | ||||
\(565\) | −9.96138 | − | 1.50144i | −0.419078 | − | 0.0631659i | ||||
\(566\) | −1.66457 | + | 2.08731i | −0.0699672 | + | 0.0877362i | ||||
\(567\) | 2.49784 | + | 0.872223i | 0.104900 | + | 0.0366299i | ||||
\(568\) | 3.17424 | + | 3.98037i | 0.133188 | + | 0.167013i | ||||
\(569\) | −15.6049 | − | 27.0285i | −0.654191 | − | 1.13309i | −0.982096 | − | 0.188381i | \(-0.939676\pi\) |
0.327905 | − | 0.944711i | \(-0.393657\pi\) | |||||||
\(570\) | 0.684466 | − | 1.18553i | 0.0286691 | − | 0.0496564i | ||||
\(571\) | 28.8905 | − | 4.35454i | 1.20903 | − | 0.182232i | 0.486567 | − | 0.873643i | \(-0.338249\pi\) |
0.722461 | + | 0.691412i | \(0.243011\pi\) | |||||||
\(572\) | −5.92443 | + | 5.49707i | −0.247713 | + | 0.229844i | ||||
\(573\) | −12.7464 | − | 6.13832i | −0.532487 | − | 0.256432i | ||||
\(574\) | −2.56504 | + | 0.689075i | −0.107063 | + | 0.0287614i | ||||
\(575\) | 3.56510 | − | 1.71686i | 0.148675 | − | 0.0715980i | ||||
\(576\) | −2.46806 | + | 6.28851i | −0.102836 | + | 0.262021i | ||||
\(577\) | 2.03753 | − | 27.1890i | 0.0848236 | − | 1.13189i | −0.778637 | − | 0.627475i | \(-0.784088\pi\) |
0.863460 | − | 0.504417i | \(-0.168293\pi\) | |||||||
\(578\) | 6.15909 | + | 1.89983i | 0.256185 | + | 0.0790225i | ||||
\(579\) | −1.24756 | − | 16.6475i | −0.0518468 | − | 0.691848i | ||||
\(580\) | 3.57980 | − | 15.6841i | 0.148643 | − | 0.651248i | ||||
\(581\) | 21.1880 | + | 28.6699i | 0.879025 | + | 1.18943i | ||||
\(582\) | 0.150809 | + | 0.660737i | 0.00625123 | + | 0.0273884i | ||||
\(583\) | −14.2870 | + | 4.40695i | −0.591707 | + | 0.182517i | ||||
\(584\) | −0.470913 | − | 1.19987i | −0.0194865 | − | 0.0496509i | ||||
\(585\) | 0.977206 | + | 0.906715i | 0.0404025 | + | 0.0374880i | ||||
\(586\) | −2.48828 | − | 1.69648i | −0.102790 | − | 0.0700811i | ||||
\(587\) | 5.13774 | 0.212057 | 0.106029 | − | 0.994363i | \(-0.466187\pi\) | ||||
0.106029 | + | 0.994363i | \(0.466187\pi\) | |||||||
\(588\) | −13.2832 | + | 3.04987i | −0.547791 | + | 0.125774i | ||||
\(589\) | −14.2194 | −0.585898 | ||||||||
\(590\) | 3.23262 | + | 2.20396i | 0.133085 | + | 0.0907358i | ||||
\(591\) | 19.2103 | + | 17.8246i | 0.790207 | + | 0.733205i | ||||
\(592\) | 3.29213 | + | 8.38822i | 0.135306 | + | 0.344754i | ||||
\(593\) | −7.13101 | + | 2.19963i | −0.292836 | + | 0.0903278i | −0.437692 | − | 0.899125i | \(-0.644204\pi\) |
0.144857 | + | 0.989453i | \(0.453728\pi\) | |||||||
\(594\) | −0.189911 | − | 0.832053i | −0.00779213 | − | 0.0341395i | ||||
\(595\) | −21.1098 | − | 0.776221i | −0.865417 | − | 0.0318220i | ||||
\(596\) | 8.72788 | − | 38.2394i | 0.357508 | − | 1.56635i | ||||
\(597\) | 0.323369 | + | 4.31506i | 0.0132346 | + | 0.176603i | ||||
\(598\) | −0.272125 | − | 0.0839396i | −0.0111280 | − | 0.00343254i | ||||
\(599\) | 1.83455 | − | 24.4803i | 0.0749576 | − | 1.00024i | −0.825247 | − | 0.564772i | \(-0.808964\pi\) |
0.900204 | − | 0.435467i | \(-0.143417\pi\) | |||||||
\(600\) | 1.18973 | − | 3.03138i | 0.0485705 | − | 0.123756i | ||||
\(601\) | 0.240286 | − | 0.115716i | 0.00980149 | − | 0.00472015i | −0.428977 | − | 0.903316i | \(-0.641126\pi\) |
0.438778 | + | 0.898595i | \(0.355411\pi\) | |||||||
\(602\) | −4.49131 | + | 3.87014i | −0.183052 | + | 0.157735i | ||||
\(603\) | 3.06245 | + | 1.47480i | 0.124713 | + | 0.0600585i | ||||
\(604\) | −3.04466 | + | 2.82503i | −0.123886 | + | 0.114949i | ||||
\(605\) | −3.22250 | + | 0.485714i | −0.131013 | + | 0.0197471i | ||||
\(606\) | 0.0689037 | − | 0.119345i | 0.00279902 | − | 0.00484804i | ||||
\(607\) | 13.1877 | + | 22.8417i | 0.535271 | + | 0.927117i | 0.999150 | + | 0.0412183i | \(0.0131239\pi\) |
−0.463879 | + | 0.885899i | \(0.653543\pi\) | |||||||
\(608\) | −8.30249 | − | 10.4110i | −0.336711 | − | 0.422222i | ||||
\(609\) | −9.76126 | + | 15.5573i | −0.395546 | + | 0.630412i | ||||
\(610\) | −1.28800 | + | 1.61510i | −0.0521494 | + | 0.0653933i | ||||
\(611\) | 8.67764 | + | 1.30794i | 0.351060 | + | 0.0529138i | ||||
\(612\) | 10.7903 | − | 7.35672i | 0.436173 | − | 0.297378i | ||||
\(613\) | −15.7701 | + | 10.7519i | −0.636950 | + | 0.434265i | −0.838266 | − | 0.545261i | \(-0.816430\pi\) |
0.201317 | + | 0.979526i | \(0.435478\pi\) | |||||||
\(614\) | −1.60529 | − | 0.241958i | −0.0647841 | − | 0.00976462i | ||||
\(615\) | −3.23554 | + | 4.05724i | −0.130470 | + | 0.163604i | ||||
\(616\) | 6.30605 | + | 6.29791i | 0.254078 | + | 0.253750i | ||||
\(617\) | 21.6921 | + | 27.2011i | 0.873293 | + | 1.09507i | 0.994735 | + | 0.102476i | \(0.0326765\pi\) |
−0.121443 | + | 0.992598i | \(0.538752\pi\) | |||||||
\(618\) | 0.365337 | + | 0.632783i | 0.0146960 | + | 0.0254543i | ||||
\(619\) | −2.80634 | + | 4.86072i | −0.112796 | + | 0.195369i | −0.916897 | − | 0.399125i | \(-0.869314\pi\) |
0.804100 | + | 0.594494i | \(0.202647\pi\) | |||||||
\(620\) | 6.52412 | − | 0.983353i | 0.262015 | − | 0.0394924i | ||||
\(621\) | −0.809525 | + | 0.751130i | −0.0324851 | + | 0.0301418i | ||||
\(622\) | −5.11074 | − | 2.46120i | −0.204922 | − | 0.0986852i | ||||
\(623\) | −6.50423 | + | 14.9342i | −0.260587 | + | 0.598325i | ||||
\(624\) | 3.71794 | − | 1.79046i | 0.148837 | − | 0.0716759i | ||||
\(625\) | 2.10247 | − | 5.35700i | 0.0840987 | − | 0.214280i | ||||
\(626\) | 0.454597 | − | 6.06618i | 0.0181694 | − | 0.242453i | ||||
\(627\) | −17.6899 | − | 5.45661i | −0.706467 | − | 0.217916i | ||||
\(628\) | 0.942484 | + | 12.5766i | 0.0376092 | + | 0.501860i | ||||
\(629\) | 3.65020 | − | 15.9926i | 0.145543 | − | 0.637665i | ||||
\(630\) | 0.472652 | − | 0.549950i | 0.0188309 | − | 0.0219105i | ||||
\(631\) | −0.166820 | − | 0.730886i | −0.00664100 | − | 0.0290961i | 0.971499 | − | 0.237044i | \(-0.0761786\pi\) |
−0.978140 | + | 0.207948i | \(0.933321\pi\) | |||||||
\(632\) | −14.5421 | + | 4.48566i | −0.578455 | + | 0.178430i | ||||
\(633\) | 9.50234 | + | 24.2116i | 0.377684 | + | 0.962323i | ||||
\(634\) | −2.87948 | − | 2.67177i | −0.114359 | − | 0.106110i | ||||
\(635\) | 7.41215 | + | 5.05352i | 0.294142 | + | 0.200543i | ||||
\(636\) | 7.85379 | 0.311423 | ||||||||
\(637\) | 6.79427 | + | 3.91098i | 0.269199 | + | 0.154959i | ||||
\(638\) | 5.92440 | 0.234549 | ||||||||
\(639\) | −4.62841 | − | 3.15560i | −0.183097 | − | 0.124834i | ||||
\(640\) | 6.00996 | + | 5.57642i | 0.237564 | + | 0.220428i | ||||
\(641\) | −8.65988 | − | 22.0650i | −0.342045 | − | 0.871516i | −0.993604 | − | 0.112918i | \(-0.963980\pi\) |
0.651560 | − | 0.758597i | \(-0.274115\pi\) | |||||||
\(642\) | 3.85051 | − | 1.18773i | 0.151968 | − | 0.0468758i | ||||
\(643\) | −6.65591 | − | 29.1614i | −0.262483 | − | 1.15001i | −0.918548 | − | 0.395310i | \(-0.870637\pi\) |
0.656065 | − | 0.754705i | \(-0.272220\pi\) | |||||||
\(644\) | 1.46877 | − | 5.49573i | 0.0578777 | − | 0.216562i | ||||
\(645\) | −2.57766 | + | 11.2935i | −0.101495 | + | 0.444680i | ||||
\(646\) | 0.576480 | + | 7.69259i | 0.0226813 | + | 0.302661i | ||||
\(647\) | −17.6525 | − | 5.44507i | −0.693991 | − | 0.214068i | −0.0723605 | − | 0.997379i | \(-0.523053\pi\) |
−0.621630 | + | 0.783311i | \(0.713529\pi\) | |||||||
\(648\) | −0.0679171 | + | 0.906291i | −0.00266804 | + | 0.0356025i | ||||
\(649\) | 19.3298 | − | 49.2516i | 0.758761 | − | 1.93329i | ||||
\(650\) | −0.832502 | + | 0.400912i | −0.0326534 | + | 0.0157251i | ||||
\(651\) | −7.40187 | − | 1.39556i | −0.290102 | − | 0.0546963i | ||||
\(652\) | −5.96061 | − | 2.87048i | −0.233436 | − | 0.112417i | ||||
\(653\) | 21.9331 | − | 20.3509i | 0.858307 | − | 0.796392i | −0.122276 | − | 0.992496i | \(-0.539019\pi\) |
0.980583 | + | 0.196104i | \(0.0628290\pi\) | |||||||
\(654\) | 1.63078 | − | 0.245800i | 0.0637685 | − | 0.00961156i | ||||
\(655\) | −6.55351 | + | 11.3510i | −0.256067 | + | 0.443521i | ||||
\(656\) | 8.03209 | + | 13.9120i | 0.313600 | + | 0.543172i | ||||
\(657\) | 0.884277 | + | 1.10885i | 0.0344989 | + | 0.0432603i | ||||
\(658\) | 0.531423 | − | 4.74405i | 0.0207170 | − | 0.184942i | ||||
\(659\) | 23.7799 | − | 29.8190i | 0.926333 | − | 1.16159i | −0.0602266 | − | 0.998185i | \(-0.519182\pi\) |
0.986560 | − | 0.163400i | \(-0.0522463\pi\) | |||||||
\(660\) | 8.49383 | + | 1.28024i | 0.330622 | + | 0.0498333i | ||||
\(661\) | −40.2243 | + | 27.4244i | −1.56454 | + | 1.06669i | −0.600958 | + | 0.799280i | \(0.705214\pi\) |
−0.963584 | + | 0.267406i | \(0.913833\pi\) | |||||||
\(662\) | −2.26532 | + | 1.54447i | −0.0880443 | + | 0.0600276i | ||||
\(663\) | −7.42815 | − | 1.11961i | −0.288485 | − | 0.0434822i | ||||
\(664\) | −7.63517 | + | 9.57420i | −0.296302 | + | 0.371551i | ||||
\(665\) | −5.20468 | − | 14.8434i | −0.201829 | − | 0.575601i | ||||
\(666\) | 0.351096 | + | 0.440260i | 0.0136047 | + | 0.0170597i | ||||
\(667\) | −3.83293 | − | 6.63884i | −0.148412 | − | 0.257057i | ||||
\(668\) | −2.25840 | + | 3.91166i | −0.0873799 | + | 0.151346i | ||||
\(669\) | 6.98619 | − | 1.05300i | 0.270102 | − | 0.0407113i | ||||
\(670\) | 0.682927 | − | 0.633663i | 0.0263838 | − | 0.0244806i | ||||
\(671\) | 25.1695 | + | 12.1210i | 0.971658 | + | 0.467926i | ||||
\(672\) | −3.30007 | − | 6.23428i | −0.127303 | − | 0.240493i | ||||
\(673\) | 9.84987 | − | 4.74345i | 0.379684 | − | 0.182846i | −0.234300 | − | 0.972164i | \(-0.575280\pi\) |
0.613985 | + | 0.789318i | \(0.289566\pi\) | |||||||
\(674\) | 2.40262 | − | 6.12177i | 0.0925453 | − | 0.235802i | ||||
\(675\) | −0.267770 | + | 3.57314i | −0.0103065 | + | 0.137530i | ||||
\(676\) | 21.8528 | + | 6.74068i | 0.840491 | + | 0.259257i | ||||
\(677\) | 0.480262 | + | 6.40865i | 0.0184580 | + | 0.246304i | 0.998799 | + | 0.0489941i | \(0.0156016\pi\) |
−0.980341 | + | 0.197310i | \(0.936779\pi\) | |||||||
\(678\) | −0.433637 | + | 1.89989i | −0.0166537 | + | 0.0729648i | ||||
\(679\) | 6.88721 | + | 3.63431i | 0.264307 | + | 0.139472i | ||||
\(680\) | −1.61467 | − | 7.07432i | −0.0619197 | − | 0.271288i | ||||
\(681\) | −16.5791 | + | 5.11398i | −0.635313 | + | 0.195968i | ||||
\(682\) | 0.887676 | + | 2.26176i | 0.0339909 | + | 0.0866073i | ||||
\(683\) | 24.0087 | + | 22.2769i | 0.918669 | + | 0.852400i | 0.989418 | − | 0.145094i | \(-0.0463484\pi\) |
−0.0707487 | + | 0.997494i | \(0.522539\pi\) | |||||||
\(684\) | 8.03469 | + | 5.47796i | 0.307214 | + | 0.209455i | ||||
\(685\) | 7.38083 | 0.282007 | ||||||||
\(686\) | 1.98535 | − | 3.77414i | 0.0758010 | − | 0.144098i | ||||
\(687\) | 29.3022 | 1.11795 | ||||||||
\(688\) | 29.6279 | + | 20.2000i | 1.12955 | + | 0.770116i | ||||
\(689\) | −3.31164 | − | 3.07275i | −0.126163 | − | 0.117063i | ||||
\(690\) | 0.110579 | + | 0.281751i | 0.00420968 | + | 0.0107261i | ||||
\(691\) | 30.4917 | − | 9.40545i | 1.15996 | − | 0.357800i | 0.345725 | − | 0.938336i | \(-0.387633\pi\) |
0.814235 | + | 0.580536i | \(0.197157\pi\) | |||||||
\(692\) | 0.807535 | + | 3.53804i | 0.0306979 | + | 0.134496i | ||||
\(693\) | −8.67292 | − | 4.57661i | −0.329457 | − | 0.173851i | ||||
\(694\) | −0.484895 | + | 2.12446i | −0.0184064 | + | 0.0806435i | ||||
\(695\) | 1.74346 | + | 23.2649i | 0.0661333 | + | 0.882488i | ||||
\(696\) | −6.02856 | − | 1.85956i | −0.228512 | − | 0.0704866i | ||||
\(697\) | 2.18535 | − | 29.1614i | 0.0827759 | − | 1.10457i | ||||
\(698\) | −1.38258 | + | 3.52275i | −0.0523313 | + | 0.133338i | ||||
\(699\) | −25.1985 | + | 12.1350i | −0.953096 | + | 0.458987i | ||||
\(700\) | −8.63522 | − | 16.3131i | −0.326381 | − | 0.616578i | ||||
\(701\) | −7.81264 | − | 3.76237i | −0.295079 | − | 0.142103i | 0.280487 | − | 0.959858i | \(-0.409504\pi\) |
−0.575566 | + | 0.817755i | \(0.695218\pi\) | |||||||
\(702\) | 0.189036 | − | 0.175400i | 0.00713470 | − | 0.00662004i | ||||
\(703\) | 12.0782 | − | 1.82049i | 0.455537 | − | 0.0686612i | ||||
\(704\) | 12.5195 | − | 21.6844i | 0.471846 | − | 0.817260i | ||||
\(705\) | −4.66358 | − | 8.07756i | −0.175641 | − | 0.304219i | ||||
\(706\) | 2.40650 | + | 3.01765i | 0.0905698 | + | 0.113571i | ||||
\(707\) | −0.523943 | − | 1.49425i | −0.0197049 | − | 0.0561969i | ||||
\(708\) | −17.3285 | + | 21.7292i | −0.651244 | + | 0.816635i | ||||
\(709\) | −11.0565 | − | 1.66651i | −0.415237 | − | 0.0625869i | −0.0618986 | − | 0.998082i | \(-0.519716\pi\) |
−0.353339 | + | 0.935496i | \(0.614954\pi\) | |||||||
\(710\) | −1.26856 | + | 0.864891i | −0.0476083 | + | 0.0324588i | ||||
\(711\) | 13.8352 | − | 9.43270i | 0.518862 | − | 0.353754i | ||||
\(712\) | −5.53291 | − | 0.833952i | −0.207354 | − | 0.0312537i | ||||
\(713\) | 1.96021 | − | 2.45803i | 0.0734105 | − | 0.0920538i | ||||
\(714\) | −0.454904 | + | 4.06095i | −0.0170243 | + | 0.151977i | ||||
\(715\) | −3.08064 | − | 3.86300i | −0.115209 | − | 0.144468i | ||||
\(716\) | −14.1629 | − | 24.5308i | −0.529291 | − | 0.916760i | ||||
\(717\) | −1.53088 | + | 2.65157i | −0.0571719 | + | 0.0990246i | ||||
\(718\) | −5.37336 | + | 0.809903i | −0.200532 | + | 0.0302253i | ||||
\(719\) | −1.28925 | + | 1.19625i | −0.0480811 | + | 0.0446127i | −0.703847 | − | 0.710351i | \(-0.748536\pi\) |
0.655766 | + | 0.754964i | \(0.272346\pi\) | |||||||
\(720\) | −3.95159 | − | 1.90299i | −0.147267 | − | 0.0709201i | ||||
\(721\) | 8.25029 | + | 1.55552i | 0.307257 | + | 0.0579306i | ||||
\(722\) | −1.23358 | + | 0.594063i | −0.0459092 | + | 0.0221087i | ||||
\(723\) | −0.574566 | + | 1.46397i | −0.0213683 | + | 0.0544456i | ||||
\(724\) | 1.30700 | − | 17.4408i | 0.0485744 | − | 0.648180i | ||||
\(725\) | −23.7682 | − | 7.33150i | −0.882727 | − | 0.272285i | ||||
\(726\) | 0.0471113 | + | 0.628656i | 0.00174846 | + | 0.0233316i | ||||
\(727\) | −10.6997 | + | 46.8784i | −0.396830 | + | 1.73862i | 0.242924 | + | 0.970045i | \(0.421893\pi\) |
−0.639754 | + | 0.768580i | \(0.720964\pi\) | |||||||
\(728\) | −0.695299 | + | 2.60161i | −0.0257695 | + | 0.0964221i | ||||
\(729\) | −0.222521 | − | 0.974928i | −0.00824152 | − | 0.0361084i | ||||
\(730\) | 0.371452 | − | 0.114578i | 0.0137480 | − | 0.00424071i | ||||
\(731\) | −23.8485 | − | 60.7649i | −0.882067 | − | 2.24747i | ||||
\(732\) | −10.7573 | − | 9.98128i | −0.397600 | − | 0.368919i | ||||
\(733\) | −24.5597 | − | 16.7445i | −0.907135 | − | 0.618474i | 0.0172850 | − | 0.999851i | \(-0.494498\pi\) |
−0.924420 | + | 0.381377i | \(0.875450\pi\) | |||||||
\(734\) | 5.74950 | 0.212218 | ||||||||
\(735\) | −1.25249 | − | 8.23751i | −0.0461987 | − | 0.303845i | ||||
\(736\) | 2.94424 | 0.108526 | ||||||||
\(737\) | −10.4094 | − | 7.09699i | −0.383434 | − | 0.261421i | ||||
\(738\) | 0.735886 | + | 0.682803i | 0.0270883 | + | 0.0251343i | ||||
\(739\) | −8.03459 | − | 20.4718i | −0.295557 | − | 0.753067i | −0.999100 | − | 0.0424145i | \(-0.986495\pi\) |
0.703543 | − | 0.710653i | \(-0.251600\pi\) | |||||||
\(740\) | −5.41581 | + | 1.67056i | −0.199089 | + | 0.0614109i | ||||
\(741\) | −1.24470 | − | 5.45338i | −0.0457251 | − | 0.200335i | ||||
\(742\) | −1.60176 | + | 1.86372i | −0.0588026 | + | 0.0684191i | ||||
\(743\) | 11.3345 | − | 49.6595i | 0.415821 | − | 1.82183i | −0.139535 | − | 0.990217i | \(-0.544561\pi\) |
0.555356 | − | 0.831613i | \(-0.312582\pi\) | |||||||
\(744\) | −0.193356 | − | 2.58015i | −0.00708876 | − | 0.0945930i | ||||
\(745\) | 22.9140 | + | 7.06804i | 0.839504 | + | 0.258953i | ||||
\(746\) | −0.134873 | + | 1.79975i | −0.00493804 | + | 0.0658936i | ||||
\(747\) | 4.92270 | − | 12.5428i | 0.180112 | − | 0.458919i | ||||
\(748\) | −43.6112 | + | 21.0021i | −1.59459 | + | 0.767912i | ||||
\(749\) | 18.4878 | − | 42.4492i | 0.675528 | − | 1.55106i | ||||
\(750\) | 2.11952 | + | 1.02070i | 0.0773938 | + | 0.0372709i | ||||
\(751\) | −14.9242 | + | 13.8476i | −0.544592 | + | 0.505308i | −0.903803 | − | 0.427949i | \(-0.859236\pi\) |
0.359211 | + | 0.933256i | \(0.383046\pi\) | |||||||
\(752\) | −28.5504 | + | 4.30328i | −1.04113 | + | 0.156924i | ||||
\(753\) | 5.43969 | − | 9.42183i | 0.198234 | − | 0.343350i | ||||
\(754\) | 0.895046 | + | 1.55027i | 0.0325957 | + | 0.0564573i | ||||
\(755\) | −1.58319 | − | 1.98526i | −0.0576182 | − | 0.0722509i | ||||
\(756\) | 3.64482 | + | 3.64011i | 0.132561 | + | 0.132390i | ||||
\(757\) | −7.20271 | + | 9.03191i | −0.261787 | + | 0.328270i | −0.895302 | − | 0.445460i | \(-0.853040\pi\) |
0.633515 | + | 0.773731i | \(0.281612\pi\) | |||||||
\(758\) | 5.48088 | + | 0.826110i | 0.199075 | + | 0.0300057i | ||||
\(759\) | 3.38190 | − | 2.30574i | 0.122755 | − | 0.0836931i | ||||
\(760\) | 4.46429 | − | 3.04370i | 0.161937 | − | 0.110407i | ||||
\(761\) | 25.3941 | + | 3.82754i | 0.920535 | + | 0.138748i | 0.592180 | − | 0.805806i | \(-0.298268\pi\) |
0.328355 | + | 0.944554i | \(0.393506\pi\) | |||||||
\(762\) | 1.08200 | − | 1.35678i | 0.0391966 | − | 0.0491510i | ||||
\(763\) | 10.0715 | − | 16.0517i | 0.364613 | − | 0.581111i | ||||
\(764\) | −17.1738 | − | 21.5353i | −0.621328 | − | 0.779120i | ||||
\(765\) | 3.99207 | + | 6.91447i | 0.144334 | + | 0.249993i | ||||
\(766\) | −3.43168 | + | 5.94384i | −0.123991 | + | 0.214760i | ||||
\(767\) | 15.8082 | − | 2.38270i | 0.570801 | − | 0.0860344i | ||||
\(768\) | −8.74165 | + | 8.11106i | −0.315437 | + | 0.292683i | ||||
\(769\) | −33.0825 | − | 15.9317i | −1.19299 | − | 0.574512i | −0.271317 | − | 0.962490i | \(-0.587459\pi\) |
−0.921668 | + | 0.387978i | \(0.873174\pi\) | |||||||
\(770\) | −2.03610 | + | 1.75450i | −0.0733760 | + | 0.0632277i | ||||
\(771\) | −13.2343 | + | 6.37330i | −0.476622 | + | 0.229529i | ||||
\(772\) | 11.8748 | − | 30.2565i | 0.427383 | − | 1.08895i | ||||
\(773\) | −3.15843 | + | 42.1463i | −0.113601 | + | 1.51590i | 0.591219 | + | 0.806511i | \(0.298647\pi\) |
−0.704819 | + | 0.709387i | \(0.748972\pi\) | |||||||
\(774\) | 2.14130 | + | 0.660502i | 0.0769673 | + | 0.0237413i | ||||
\(775\) | −0.762323 | − | 10.1725i | −0.0273835 | − | 0.365407i | ||||
\(776\) | −0.595240 | + | 2.60792i | −0.0213679 | + | 0.0936188i | ||||
\(777\) | 6.46596 | + | 0.237758i | 0.231965 | + | 0.00852951i | ||||
\(778\) | −1.54229 | − | 6.75720i | −0.0552937 | − | 0.242257i | ||||
\(779\) | 20.8077 | − | 6.41831i | 0.745512 | − | 0.229960i | ||||
\(780\) | 0.948225 | + | 2.41604i | 0.0339519 | + | 0.0865081i | ||||
\(781\) | 15.2202 | + | 14.1223i | 0.544622 | + | 0.505336i | ||||
\(782\) | −1.40925 | − | 0.960810i | −0.0503947 | − | 0.0343585i | ||||
\(783\) | 6.94170 | 0.248076 | ||||||||
\(784\) | −25.1536 | − | 5.70696i | −0.898341 | − | 0.203820i | ||||
\(785\) | −7.71041 | −0.275196 | ||||||||
\(786\) | 2.09492 | + | 1.42829i | 0.0747234 | + | 0.0509455i | ||||
\(787\) | −31.4022 | − | 29.1370i | −1.11937 | − | 1.03862i | −0.998946 | − | 0.0458987i | \(-0.985385\pi\) |
−0.120422 | − | 0.992723i | \(-0.538425\pi\) | |||||||
\(788\) | 18.6406 | + | 47.4955i | 0.664044 | + | 1.69196i | ||||
\(789\) | 10.9253 | − | 3.37001i | 0.388951 | − | 0.119976i | ||||
\(790\) | −1.02125 | − | 4.47438i | −0.0363344 | − | 0.159191i | ||||
\(791\) | 13.3082 | + | 18.0077i | 0.473186 | + | 0.640279i | ||||
\(792\) | 0.749573 | − | 3.28410i | 0.0266349 | − | 0.116695i | ||||
\(793\) | 0.630800 | + | 8.41744i | 0.0224004 | + | 0.298912i | ||||
\(794\) | 1.33524 | + | 0.411867i | 0.0473859 | + | 0.0146166i | ||||
\(795\) | −0.358818 | + | 4.78809i | −0.0127259 | + | 0.169816i | ||||
\(796\) | −3.07796 | + | 7.84250i | −0.109095 | + | 0.277970i | ||||
\(797\) | 43.8793 | − | 21.1312i | 1.55429 | − | 0.748504i | 0.557620 | − | 0.830097i | \(-0.311715\pi\) |
0.996666 | + | 0.0815923i | \(0.0260005\pi\) | |||||||
\(798\) | −2.93859 | + | 0.789427i | −0.104025 | + | 0.0279454i | ||||
\(799\) | 47.3551 | + | 22.8050i | 1.67530 | + | 0.806783i | ||||
\(800\) | 7.00289 | − | 6.49774i | 0.247590 | − | 0.229730i | ||||
\(801\) | 6.08793 | − | 0.917608i | 0.215106 | − | 0.0324221i | ||||
\(802\) | 2.93675 | − | 5.08661i | 0.103700 | − | 0.179614i | ||||
\(803\) | −2.62838 | − | 4.55249i | −0.0927535 | − | 0.160654i | ||||
\(804\) | 4.12620 | + | 5.17410i | 0.145520 | + | 0.182476i | ||||
\(805\) | 3.28338 | + | 1.14653i | 0.115724 | + | 0.0404097i | ||||
\(806\) | −0.457738 | + | 0.573985i | −0.0161231 | + | 0.0202178i | ||||
\(807\) | −14.4573 | − | 2.17909i | −0.508923 | − | 0.0767078i | ||||
\(808\) | 0.449410 | − | 0.306403i | 0.0158102 | − | 0.0107792i | ||||
\(809\) | −14.1052 | + | 9.61676i | −0.495912 | + | 0.338107i | −0.785311 | − | 0.619101i | \(-0.787497\pi\) |
0.289399 | + | 0.957209i | \(0.406545\pi\) | |||||||
\(810\) | −0.271020 | − | 0.0408497i | −0.00952268 | − | 0.00143531i | ||||
\(811\) | −0.102516 | + | 0.128551i | −0.00359983 | + | 0.00451405i | −0.783628 | − | 0.621230i | \(-0.786633\pi\) |
0.780028 | + | 0.625744i | \(0.215205\pi\) | |||||||
\(812\) | −30.2651 | + | 19.0441i | −1.06210 | + | 0.668316i | ||||
\(813\) | −15.6342 | − | 19.6047i | −0.548315 | − | 0.687565i | ||||
\(814\) | −1.04358 | − | 1.80753i | −0.0365775 | − | 0.0633540i | ||||
\(815\) | 2.02232 | − | 3.50276i | 0.0708388 | − | 0.122696i | ||||
\(816\) | 24.4394 | − | 3.68365i | 0.855551 | − | 0.128954i | ||||
\(817\) | 35.6312 | − | 33.0610i | 1.24658 | − | 1.15666i | ||||
\(818\) | 0.889499 | + | 0.428360i | 0.0311006 | + | 0.0149773i | ||||
\(819\) | −0.112704 | − | 2.96091i | −0.00393821 | − | 0.103463i | ||||
\(820\) | −9.10310 | + | 4.38382i | −0.317894 | + | 0.153090i | ||||
\(821\) | −6.70480 | + | 17.0836i | −0.233999 | + | 0.596220i | −0.998848 | − | 0.0479898i | \(-0.984719\pi\) |
0.764849 | + | 0.644210i | \(0.222814\pi\) | |||||||
\(822\) | 0.106699 | − | 1.42379i | 0.00372154 | − | 0.0496605i | ||||
\(823\) | −7.00189 | − | 2.15980i | −0.244070 | − | 0.0752858i | 0.170306 | − | 0.985391i | \(-0.445524\pi\) |
−0.414377 | + | 0.910105i | \(0.636000\pi\) | |||||||
\(824\) | 0.215519 | + | 2.87589i | 0.00750794 | + | 0.100187i | ||||
\(825\) | 2.95526 | − | 12.9479i | 0.102889 | − | 0.450787i | ||||
\(826\) | −1.62227 | − | 8.54371i | −0.0564461 | − | 0.297274i | ||||
\(827\) | 3.21753 | + | 14.0969i | 0.111885 | + | 0.490198i | 0.999558 | + | 0.0297249i | \(0.00946314\pi\) |
−0.887674 | + | 0.460473i | \(0.847680\pi\) | |||||||
\(828\) | −2.05457 | + | 0.633751i | −0.0714012 | + | 0.0220244i | ||||
\(829\) | 0.0303865 | + | 0.0774234i | 0.00105537 | + | 0.00268903i | 0.931400 | − | 0.363996i | \(-0.118588\pi\) |
−0.930345 | + | 0.366685i | \(0.880493\pi\) | |||||||
\(830\) | −2.70720 | − | 2.51191i | −0.0939681 | − | 0.0871897i | ||||
\(831\) | 6.18254 | + | 4.21519i | 0.214470 | + | 0.146223i | ||||
\(832\) | 7.56567 | 0.262292 | ||||||||
\(833\) | 31.9808 | + | 34.3779i | 1.10807 | + | 1.19112i | ||||
\(834\) | 4.51310 | 0.156276 | ||||||||
\(835\) | −2.28157 | − | 1.55555i | −0.0789572 | − | 0.0538321i | ||||
\(836\) | −26.4215 | − | 24.5156i | −0.913808 | − | 0.847890i | ||||
\(837\) | 1.04010 | + | 2.65014i | 0.0359512 | + | 0.0916022i | ||||
\(838\) | 1.45190 | − | 0.447852i | 0.0501551 | − | 0.0154708i | ||||
\(839\) | 9.68047 | + | 42.4129i | 0.334207 | + | 1.46426i | 0.810899 | + | 0.585186i | \(0.198979\pi\) |
−0.476692 | + | 0.879070i | \(0.658164\pi\) | |||||||
\(840\) | 2.62261 | − | 1.14625i | 0.0904885 | − | 0.0395493i | ||||
\(841\) | −4.26955 | + | 18.7061i | −0.147226 | + | 0.645038i | ||||
\(842\) | 0.0480454 | + | 0.641121i | 0.00165575 | + | 0.0220945i | ||||
\(843\) | −0.122245 | − | 0.0377076i | −0.00421034 | − | 0.00129872i | ||||
\(844\) | −3.78433 | + | 50.4984i | −0.130262 | + | 1.73823i | ||||
\(845\) | −5.10787 | + | 13.0147i | −0.175716 | + | 0.447718i | ||||
\(846\) | −1.62561 | + | 0.782855i | −0.0558898 | + | 0.0269151i | ||||
\(847\) | 5.83103 | + | 4.29768i | 0.200357 | + | 0.147670i | ||||
\(848\) | 13.3915 | + | 6.44900i | 0.459865 | + | 0.221459i | ||||
\(849\) | 8.49942 | − | 7.88631i | 0.291699 | − | 0.270658i | ||||
\(850\) | −5.47236 | + | 0.824825i | −0.187700 | + | 0.0282913i | ||||
\(851\) | −1.35034 | + | 2.33886i | −0.0462891 | + | 0.0801750i | ||||
\(852\) | −5.45329 | − | 9.44537i | −0.186826 | − | 0.323593i | ||||
\(853\) | 15.0264 | + | 18.8425i | 0.514493 | + | 0.645154i | 0.969430 | − | 0.245370i | \(-0.0789094\pi\) |
−0.454936 | + | 0.890524i | \(0.650338\pi\) | |||||||
\(854\) | 4.56250 | − | 0.517054i | 0.156125 | − | 0.0176932i | ||||
\(855\) | −3.70674 | + | 4.64811i | −0.126768 | + | 0.158962i | ||||
\(856\) | 15.7268 | + | 2.37044i | 0.537533 | + | 0.0810200i | ||||
\(857\) | −26.9888 | + | 18.4006i | −0.921918 | + | 0.628553i | −0.928463 | − | 0.371425i | \(-0.878869\pi\) |
0.00654460 | + | 0.999979i | \(0.497917\pi\) | |||||||
\(858\) | −0.789723 | + | 0.538424i | −0.0269607 | + | 0.0183815i | ||||
\(859\) | −1.16051 | − | 0.174919i | −0.0395961 | − | 0.00596816i | 0.129214 | − | 0.991617i | \(-0.458754\pi\) |
−0.168810 | + | 0.985649i | \(0.553993\pi\) | |||||||
\(860\) | −14.0620 | + | 17.6331i | −0.479509 | + | 0.601285i | ||||
\(861\) | 11.4613 | − | 1.29888i | 0.390601 | − | 0.0442657i | ||||
\(862\) | −3.84237 | − | 4.81818i | −0.130872 | − | 0.164108i | ||||
\(863\) | 7.72452 | + | 13.3793i | 0.262946 | + | 0.455435i | 0.967023 | − | 0.254688i | \(-0.0819726\pi\) |
−0.704078 | + | 0.710123i | \(0.748639\pi\) | |||||||
\(864\) | −1.33305 | + | 2.30891i | −0.0453513 | + | 0.0785508i | ||||
\(865\) | −2.19388 | + | 0.330673i | −0.0745940 | + | 0.0112432i | ||||
\(866\) | 3.56832 | − | 3.31092i | 0.121256 | − | 0.112510i | ||||
\(867\) | −25.2199 | − | 12.1453i | −0.856514 | − | 0.412475i | ||||
\(868\) | −11.8052 | − | 8.70087i | −0.400695 | − | 0.295327i | ||||
\(869\) | −55.9178 | + | 26.9286i | −1.89688 | + | 0.913490i | ||||
\(870\) | 0.695095 | − | 1.77107i | 0.0235659 | − | 0.0600450i | ||||
\(871\) | 0.284476 | − | 3.79607i | 0.00963911 | − | 0.128625i | ||||
\(872\) | 6.22017 | + | 1.91867i | 0.210641 | + | 0.0649743i | ||||
\(873\) | −0.219955 | − | 2.93509i | −0.00744434 | − | 0.0993378i | ||||
\(874\) | 0.282610 | − | 1.23820i | 0.00955943 | − | 0.0418826i | ||||
\(875\) | 24.7683 | − | 10.8253i | 0.837322 | − | 0.365964i | ||||
\(876\) | 0.614457 | + | 2.69211i | 0.0207606 | + | 0.0909580i | ||||
\(877\) | −8.31700 | + | 2.56546i | −0.280845 | + | 0.0866293i | −0.431978 | − | 0.901884i | \(-0.642184\pi\) |
0.151133 | + | 0.988513i | \(0.451708\pi\) | |||||||
\(878\) | 1.26788 | + | 3.23050i | 0.0427888 | + | 0.109024i | ||||
\(879\) | 9.58761 | + | 8.89600i | 0.323382 | + | 0.300055i | ||||
\(880\) | 13.4316 | + | 9.15749i | 0.452778 | + | 0.308699i | ||||
\(881\) | −11.8364 | −0.398778 | −0.199389 | − | 0.979920i | \(-0.563896\pi\) | ||||
−0.199389 | + | 0.979920i | \(0.563896\pi\) | |||||||
\(882\) | −1.60716 | + | 0.122528i | −0.0541158 | + | 0.00412572i | ||||
\(883\) | 9.93404 | 0.334307 | 0.167153 | − | 0.985931i | \(-0.446542\pi\) | ||||
0.167153 | + | 0.985931i | \(0.446542\pi\) | |||||||
\(884\) | −12.0844 | − | 8.23901i | −0.406443 | − | 0.277108i | ||||
\(885\) | −12.4556 | − | 11.5571i | −0.418691 | − | 0.388488i | ||||
\(886\) | 0.637121 | + | 1.62336i | 0.0214045 | + | 0.0545378i | ||||
\(887\) | −38.9760 | + | 12.0225i | −1.30868 | + | 0.403676i | −0.869149 | − | 0.494550i | \(-0.835333\pi\) |
−0.439535 | + | 0.898225i | \(0.644857\pi\) | |||||||
\(888\) | 0.494575 | + | 2.16688i | 0.0165969 | + | 0.0727156i | ||||
\(889\) | −3.71974 | − | 19.5900i | −0.124756 | − | 0.657029i | ||||
\(890\) | 0.375490 | − | 1.64513i | 0.0125864 | − | 0.0551448i | ||||
\(891\) | 0.276984 | + | 3.69610i | 0.00927932 | + | 0.123824i | ||||
\(892\) | 13.1445 | + | 4.05454i | 0.440110 | + | 0.135756i | ||||
\(893\) | −2.92474 | + | 39.0279i | −0.0978726 | + | 1.30602i | ||||
\(894\) | 1.69470 | − | 4.31804i | 0.0566794 | − | 0.144417i | ||||
\(895\) | 15.6024 | − | 7.51370i | 0.521529 | − | 0.251155i | ||||
\(896\) | −0.693148 | − | 18.2100i | −0.0231564 | − | 0.608354i | ||||
\(897\) | 1.11428 | + | 0.536611i | 0.0372049 | + | 0.0179169i | ||||
\(898\) | 2.32457 | − | 2.15689i | 0.0775720 | − | 0.0719763i | ||||
\(899\) | −19.5418 | + | 2.94546i | −0.651757 | + | 0.0982365i | ||||
\(900\) | −3.48817 | + | 6.04169i | −0.116272 | + | 0.201390i | ||||
\(901\) | −13.5287 | − | 23.4323i | −0.450705 | − | 0.780645i | ||||
\(902\) | −2.31988 | − | 2.90903i | −0.0772434 | − | 0.0968602i | ||||
\(903\) | 21.7926 | − | 13.7128i | 0.725212 | − | 0.456334i | ||||
\(904\) | −4.79568 | + | 6.01359i | −0.159502 | + | 0.200009i | ||||
\(905\) | 10.5731 | + | 1.59364i | 0.351462 | + | 0.0529744i | ||||
\(906\) | −0.405852 | + | 0.276705i | −0.0134835 | + | 0.00919291i | ||||
\(907\) | 19.4586 | − | 13.2666i | 0.646112 | − | 0.440512i | −0.195419 | − | 0.980720i | \(-0.562607\pi\) |
0.841532 | + | 0.540208i | \(0.181654\pi\) | |||||||
\(908\) | −33.4027 | − | 5.03464i | −1.10851 | − | 0.167080i | ||||
\(909\) | −0.373149 | + | 0.467914i | −0.0123766 | + | 0.0155197i | ||||
\(910\) | −0.766718 | − | 0.267731i | −0.0254165 | − | 0.00887519i | ||||
\(911\) | 24.8640 | + | 31.1785i | 0.823781 | + | 1.03299i | 0.998827 | + | 0.0484288i | \(0.0154214\pi\) |
−0.175045 | + | 0.984560i | \(0.556007\pi\) | |||||||
\(912\) | 9.20181 | + | 15.9380i | 0.304703 | + | 0.527760i | ||||
\(913\) | −24.9709 | + | 43.2509i | −0.826417 | + | 1.43140i | ||||
\(914\) | −2.16737 | + | 0.326678i | −0.0716901 | + | 0.0108055i | ||||
\(915\) | 6.57659 | − | 6.10219i | 0.217415 | − | 0.201732i | ||||
\(916\) | 51.4010 | + | 24.7534i | 1.69834 | + | 0.817876i | ||||
\(917\) | 28.1359 | − | 7.55847i | 0.929129 | − | 0.249603i | ||||
\(918\) | 1.39154 | − | 0.670131i | 0.0459277 | − | 0.0221176i | ||||
\(919\) | 4.98770 | − | 12.7085i | 0.164529 | − | 0.419213i | −0.824703 | − | 0.565565i | \(-0.808658\pi\) |
0.989233 | + | 0.146352i | \(0.0467532\pi\) | |||||||
\(920\) | −0.0892762 | + | 1.19131i | −0.00294335 | + | 0.0392763i | ||||
\(921\) | 6.73713 | + | 2.07813i | 0.221996 | + | 0.0684767i | ||||
\(922\) | 0.106252 | + | 1.41783i | 0.00349922 | + | 0.0466938i | ||||
\(923\) | −1.39601 | + | 6.11632i | −0.0459502 | + | 0.201321i | ||||
\(924\) | −11.3476 | − | 15.3547i | −0.373309 | − | 0.505133i | ||||
\(925\) | 1.94991 | + | 8.54311i | 0.0641126 | + | 0.280896i | ||||
\(926\) | 2.08722 | − | 0.643823i | 0.0685904 | − | 0.0211573i | ||||
\(927\) | −1.15932 | − | 2.95390i | −0.0380771 | − | 0.0970189i | ||||
\(928\) | −13.5668 | − | 12.5882i | −0.445352 | − | 0.413226i | ||||
\(929\) | 0.681947 | + | 0.464944i | 0.0223740 | + | 0.0152543i | 0.574455 | − | 0.818536i | \(-0.305214\pi\) |
−0.552081 | + | 0.833790i | \(0.686166\pi\) | |||||||
\(930\) | 0.780292 | 0.0255868 | ||||||||
\(931\) | −15.1289 | + | 31.5195i | −0.495829 | + | 1.03301i | ||||
\(932\) | −54.4536 | −1.78369 | ||||||||
\(933\) | 20.3545 | + | 13.8775i | 0.666376 | + | 0.454328i | ||||
\(934\) | 5.23668 | + | 4.85893i | 0.171349 | + | 0.158989i | ||||
\(935\) | −10.8115 | − | 27.5473i | −0.353574 | − | 0.900892i | ||||
\(936\) | 0.972609 | − | 0.300010i | 0.0317907 | − | 0.00980614i | ||||
\(937\) | 4.41379 | + | 19.3381i | 0.144192 | + | 0.631748i | 0.994435 | + | 0.105356i | \(0.0335983\pi\) |
−0.850242 | + | 0.526392i | \(0.823545\pi\) | |||||||
\(938\) | −2.06935 | − | 0.0760914i | −0.0675667 | − | 0.00248447i | ||||
\(939\) | −5.87872 | + | 25.7564i | −0.191845 | + | 0.840527i | ||||
\(940\) | −1.35708 | − | 18.1090i | −0.0442632 | − | 0.590651i | ||||
\(941\) | 28.1377 | + | 8.67935i | 0.917264 | + | 0.282939i | 0.717219 | − | 0.696848i | \(-0.245415\pi\) |
0.200046 | + | 0.979787i | \(0.435891\pi\) | |||||||
\(942\) | −0.111463 | + | 1.48737i | −0.00363166 | + | 0.0484612i | ||||
\(943\) | −1.75894 | + | 4.48171i | −0.0572790 | + | 0.145944i | ||||
\(944\) | −47.3893 | + | 22.8215i | −1.54239 | + | 0.742777i | ||||
\(945\) | −2.38573 | + | 2.05577i | −0.0776078 | + | 0.0668742i | ||||
\(946\) | −7.48311 | − | 3.60368i | −0.243297 | − | 0.117166i | ||||
\(947\) | 1.46127 | − | 1.35586i | 0.0474849 | − | 0.0440595i | −0.656073 | − | 0.754697i | \(-0.727784\pi\) |
0.703558 | + | 0.710638i | \(0.251593\pi\) | |||||||
\(948\) | 32.2377 | − | 4.85905i | 1.04703 | − | 0.157815i | ||||
\(949\) | 0.794181 | − | 1.37556i | 0.0257802 | − | 0.0446526i | ||||
\(950\) | −2.06043 | − | 3.56876i | −0.0668491 | − | 0.115786i | ||||
\(951\) | 10.6363 | + | 13.3375i | 0.344905 | + | 0.432498i | ||||
\(952\) | −8.57219 | + | 13.6621i | −0.277826 | + | 0.442792i | ||||
\(953\) | 9.00489 | − | 11.2918i | 0.291697 | − | 0.365777i | −0.614291 | − | 0.789079i | \(-0.710558\pi\) |
0.905988 | + | 0.423303i | \(0.139129\pi\) | |||||||
\(954\) | 0.918456 | + | 0.138435i | 0.0297361 | + | 0.00448200i | ||||
\(955\) | 13.9137 | − | 9.48620i | 0.450237 | − | 0.306966i | ||||
\(956\) | −4.92537 | + | 3.35806i | −0.159298 | + | 0.108608i | ||||
\(957\) | −25.4418 | − | 3.83473i | −0.822415 | − | 0.123959i | ||||
\(958\) | −3.47586 | + | 4.35859i | −0.112300 | + | 0.140820i | ||||
\(959\) | −11.6080 | − | 11.5931i | −0.374843 | − | 0.374359i | ||||
\(960\) | −5.01357 | − | 6.28681i | −0.161812 | − | 0.202906i | ||||
\(961\) | 11.4475 | + | 19.8276i | 0.369274 | + | 0.639600i | ||||
\(962\) | 0.315324 | − | 0.546157i | 0.0101665 | − | 0.0176088i | ||||
\(963\) | −17.3044 | + | 2.60823i | −0.557628 | + | 0.0840489i | ||||
\(964\) | −2.24459 | + | 2.08268i | −0.0722934 | + | 0.0670785i | ||||
\(965\) | 17.9034 | + | 8.62184i | 0.576332 | + | 0.277547i | ||||
\(966\) | 0.268635 | − | 0.616805i | 0.00864320 | − | 0.0198454i | ||||
\(967\) | −28.9134 | + | 13.9240i | −0.929793 | + | 0.447765i | −0.836558 | − | 0.547879i | \(-0.815435\pi\) |
−0.0932360 | + | 0.995644i | \(0.529721\pi\) | |||||||
\(968\) | −0.909060 | + | 2.31625i | −0.0292183 | + | 0.0744470i | ||||
\(969\) | 2.50360 | − | 33.4083i | 0.0804273 | − | 1.07323i | ||||
\(970\) | −0.770870 | − | 0.237782i | −0.0247511 | − | 0.00763471i | ||||
\(971\) | −0.364565 | − | 4.86478i | −0.0116994 | − | 0.156118i | −0.999994 | − | 0.00355830i | \(-0.998867\pi\) |
0.988294 | − | 0.152560i | \(-0.0487517\pi\) | |||||||
\(972\) | 0.433244 | − | 1.89817i | 0.0138963 | − | 0.0608837i | ||||
\(973\) | 33.8001 | − | 39.3278i | 1.08358 | − | 1.26079i | ||||
\(974\) | −0.531554 | − | 2.32889i | −0.0170321 | − | 0.0746224i | ||||
\(975\) | 3.83460 | − | 1.18282i | 0.122806 | − | 0.0378805i | ||||
\(976\) | −10.1462 | − | 25.8522i | −0.324773 | − | 0.827509i | ||||
\(977\) | 13.4991 | + | 12.5253i | 0.431875 | + | 0.400721i | 0.865930 | − | 0.500165i | \(-0.166727\pi\) |
−0.434055 | + | 0.900886i | \(0.642918\pi\) | |||||||
\(978\) | −0.646463 | − | 0.440751i | −0.0206716 | − | 0.0140937i | ||||
\(979\) | −22.8195 | −0.729316 | ||||||||
\(980\) | 4.76167 | − | 15.5080i | 0.152106 | − | 0.495386i | ||||
\(981\) | −7.16233 | −0.228676 | ||||||||
\(982\) | −3.43611 | − | 2.34270i | −0.109651 | − | 0.0747585i | ||||
\(983\) | −24.0688 | − | 22.3325i | −0.767674 | − | 0.712297i | 0.195639 | − | 0.980676i | \(-0.437322\pi\) |
−0.963314 | + | 0.268378i | \(0.913512\pi\) | |||||||
\(984\) | 1.44757 | + | 3.68835i | 0.0461468 | + | 0.117580i | ||||
\(985\) | −29.8074 | + | 9.19438i | −0.949744 | + | 0.292957i | ||||
\(986\) | 2.38574 | + | 10.4526i | 0.0759775 | + | 0.332879i | ||||
\(987\) | −5.35286 | + | 20.0289i | −0.170383 | + | 0.637526i | ||||
\(988\) | 2.42340 | − | 10.6176i | 0.0770987 | − | 0.337791i | ||||
\(989\) | 0.803129 | + | 10.7170i | 0.0255380 | + | 0.340781i | ||||
\(990\) | 0.970740 | + | 0.299434i | 0.0308521 | + | 0.00951663i | ||||
\(991\) | 2.77132 | − | 36.9807i | 0.0880339 | − | 1.17473i | −0.761848 | − | 0.647756i | \(-0.775707\pi\) |
0.849881 | − | 0.526974i | \(-0.176673\pi\) | |||||||
\(992\) | 2.77302 | − | 7.06554i | 0.0880435 | − | 0.224331i | ||||
\(993\) | 10.7279 | − | 5.16630i | 0.340440 | − | 0.163947i | ||||
\(994\) | 3.35359 | + | 0.632290i | 0.106369 | + | 0.0200550i | ||||
\(995\) | −4.64059 | − | 2.23479i | −0.147117 | − | 0.0708476i | ||||
\(996\) | 19.2310 | − | 17.8437i | 0.609357 | − | 0.565401i | ||||
\(997\) | 34.7619 | − | 5.23952i | 1.10092 | − | 0.165937i | 0.426647 | − | 0.904418i | \(-0.359695\pi\) |
0.674274 | + | 0.738481i | \(0.264457\pi\) | |||||||
\(998\) | −2.06068 | + | 3.56921i | −0.0652297 | + | 0.112981i | ||||
\(999\) | −1.22278 | − | 2.11791i | −0.0386870 | − | 0.0670078i |
(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 | 147.2.m.b.4.3 | ✓ | 60 | |
3.2 | odd | 2 | 441.2.bb.e.298.3 | 60 | |||
49.24 | odd | 42 | 7203.2.a.m.1.16 | 30 | |||
49.25 | even | 21 | 7203.2.a.n.1.16 | 30 | |||
49.37 | even | 21 | inner | 147.2.m.b.37.3 | yes | 60 | |
147.86 | odd | 42 | 441.2.bb.e.37.3 | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
147.2.m.b.4.3 | ✓ | 60 | 1.1 | even | 1 | trivial | |
147.2.m.b.37.3 | yes | 60 | 49.37 | even | 21 | inner | |
441.2.bb.e.37.3 | 60 | 147.86 | odd | 42 | |||
441.2.bb.e.298.3 | 60 | 3.2 | odd | 2 | |||
7203.2.a.m.1.16 | 30 | 49.24 | odd | 42 | |||
7203.2.a.n.1.16 | 30 | 49.25 | even | 21 |