Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [231,2,Mod(2,231)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(231, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 10, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("231.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 231 = 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 231.be (of order \(30\), degree \(8\), 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: | \(1.84454428669\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 2.16 | ||
Character | \(\chi\) | \(=\) | 231.2 |
Dual form | 231.2.be.a.116.16 |
$q$-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 \(\left(\mathbb{Z}/231\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.109613 | + | 0.121738i | 0.0775081 | + | 0.0860815i | 0.780651 | − | 0.624967i | \(-0.214887\pi\) |
−0.703143 | + | 0.711048i | \(0.748221\pi\) | |||||||
\(3\) | 0.932465 | − | 1.45963i | 0.538359 | − | 0.842716i | ||||
\(4\) | 0.206252 | − | 1.96236i | 0.103126 | − | 0.981178i | ||||
\(5\) | −0.280949 | + | 1.32176i | −0.125644 | + | 0.591109i | 0.869605 | + | 0.493748i | \(0.164373\pi\) |
−0.995249 | + | 0.0973611i | \(0.968960\pi\) | |||||||
\(6\) | 0.279902 | − | 0.0464781i | 0.114269 | − | 0.0189746i | ||||
\(7\) | −0.638360 | − | 2.56759i | −0.241277 | − | 0.970456i | ||||
\(8\) | 0.526557 | − | 0.382566i | 0.186166 | − | 0.135258i | ||||
\(9\) | −1.26102 | − | 2.72210i | −0.420340 | − | 0.907367i | ||||
\(10\) | −0.191704 | + | 0.110680i | −0.0606220 | + | 0.0350001i | ||||
\(11\) | −1.19578 | + | 3.09356i | −0.360542 | + | 0.932743i | ||||
\(12\) | −2.67198 | − | 2.13088i | −0.771335 | − | 0.615132i | ||||
\(13\) | 2.86915 | + | 0.932244i | 0.795760 | + | 0.258558i | 0.678555 | − | 0.734550i | \(-0.262607\pi\) |
0.117205 | + | 0.993108i | \(0.462607\pi\) | |||||||
\(14\) | 0.242599 | − | 0.359153i | 0.0648374 | − | 0.0959877i | ||||
\(15\) | 1.66730 | + | 1.64257i | 0.430495 | + | 0.424111i | ||||
\(16\) | −3.75580 | − | 0.798321i | −0.938951 | − | 0.199580i | ||||
\(17\) | 0.652392 | − | 0.724554i | 0.158228 | − | 0.175730i | −0.658818 | − | 0.752302i | \(-0.728943\pi\) |
0.817046 | + | 0.576572i | \(0.195610\pi\) | |||||||
\(18\) | 0.193158 | − | 0.451891i | 0.0455277 | − | 0.106512i | ||||
\(19\) | 2.39341 | − | 0.251557i | 0.549086 | − | 0.0577112i | 0.174076 | − | 0.984732i | \(-0.444306\pi\) |
0.375009 | + | 0.927021i | \(0.377639\pi\) | |||||||
\(20\) | 2.53582 | + | 0.823937i | 0.567026 | + | 0.184238i | ||||
\(21\) | −4.34296 | − | 1.46242i | −0.947712 | − | 0.319125i | ||||
\(22\) | −0.507676 | + | 0.193523i | −0.108237 | + | 0.0412592i | ||||
\(23\) | −2.70664 | − | 1.56268i | −0.564374 | − | 0.325841i | 0.190525 | − | 0.981682i | \(-0.438981\pi\) |
−0.754899 | + | 0.655841i | \(0.772314\pi\) | |||||||
\(24\) | −0.0674077 | − | 1.12531i | −0.0137595 | − | 0.229702i | ||||
\(25\) | 2.89961 | + | 1.29099i | 0.579922 | + | 0.258198i | ||||
\(26\) | 0.201007 | + | 0.451470i | 0.0394208 | + | 0.0885405i | ||||
\(27\) | −5.14911 | − | 0.697646i | −0.990946 | − | 0.134262i | ||||
\(28\) | −5.17018 | + | 0.723119i | −0.977072 | + | 0.136657i | ||||
\(29\) | 6.95634 | + | 5.05408i | 1.29176 | + | 0.938518i | 0.999839 | − | 0.0179242i | \(-0.00570574\pi\) |
0.291920 | + | 0.956443i | \(0.405706\pi\) | |||||||
\(30\) | −0.0172052 | + | 0.383021i | −0.00314122 | + | 0.0699297i | ||||
\(31\) | 4.72274 | − | 1.00385i | 0.848230 | − | 0.180297i | 0.236764 | − | 0.971567i | \(-0.423913\pi\) |
0.611466 | + | 0.791270i | \(0.290580\pi\) | |||||||
\(32\) | −0.965360 | − | 1.67205i | −0.170653 | − | 0.295580i | ||||
\(33\) | 3.40042 | + | 4.63003i | 0.591937 | + | 0.805985i | ||||
\(34\) | 0.159716 | 0.0273911 | ||||||||
\(35\) | 3.57308 | − | 0.122398i | 0.603961 | − | 0.0206891i | ||||
\(36\) | −5.60182 | + | 1.91313i | −0.933636 | + | 0.318855i | ||||
\(37\) | −3.10945 | + | 1.38441i | −0.511190 | + | 0.227596i | −0.646088 | − | 0.763263i | \(-0.723596\pi\) |
0.134898 | + | 0.990860i | \(0.456929\pi\) | |||||||
\(38\) | 0.292973 | + | 0.263794i | 0.0475264 | + | 0.0427930i | ||||
\(39\) | 4.03611 | − | 3.31861i | 0.646295 | − | 0.531402i | ||||
\(40\) | 0.357725 | + | 0.803464i | 0.0565613 | + | 0.127039i | ||||
\(41\) | 6.95208 | − | 5.05098i | 1.08573 | − | 0.788830i | 0.107059 | − | 0.994253i | \(-0.465857\pi\) |
0.978673 | + | 0.205422i | \(0.0658568\pi\) | |||||||
\(42\) | −0.298014 | − | 0.689002i | −0.0459846 | − | 0.106315i | ||||
\(43\) | 9.87461i | 1.50586i | 0.658099 | + | 0.752932i | \(0.271361\pi\) | ||||
−0.658099 | + | 0.752932i | \(0.728639\pi\) | |||||||
\(44\) | 5.82403 | + | 2.98460i | 0.878006 | + | 0.449946i | ||||
\(45\) | 3.95225 | − | 0.901994i | 0.589166 | − | 0.134461i | ||||
\(46\) | −0.106446 | − | 0.500790i | −0.0156946 | − | 0.0738375i | ||||
\(47\) | −1.51473 | + | 0.159205i | −0.220946 | + | 0.0232224i | −0.214355 | − | 0.976756i | \(-0.568765\pi\) |
−0.00659160 | + | 0.999978i | \(0.502098\pi\) | |||||||
\(48\) | −4.66740 | + | 4.73766i | −0.673682 | + | 0.683823i | ||||
\(49\) | −6.18499 | + | 3.27809i | −0.883571 | + | 0.468298i | ||||
\(50\) | 0.160673 | + | 0.494501i | 0.0227226 | + | 0.0699330i | ||||
\(51\) | −0.449246 | − | 1.62787i | −0.0629071 | − | 0.227947i | ||||
\(52\) | 2.42116 | − | 5.43802i | 0.335755 | − | 0.754118i | ||||
\(53\) | 1.28274 | + | 6.03481i | 0.176198 | + | 0.828945i | 0.974093 | + | 0.226148i | \(0.0726134\pi\) |
−0.797895 | + | 0.602796i | \(0.794053\pi\) | |||||||
\(54\) | −0.479479 | − | 0.703311i | −0.0652489 | − | 0.0957085i | ||||
\(55\) | −3.75299 | − | 2.44967i | −0.506053 | − | 0.330313i | ||||
\(56\) | −1.31840 | − | 1.10777i | −0.176179 | − | 0.148031i | ||||
\(57\) | 1.86459 | − | 3.72805i | 0.246971 | − | 0.493792i | ||||
\(58\) | 0.147234 | + | 1.40084i | 0.0193328 | + | 0.183939i | ||||
\(59\) | −13.9999 | − | 1.47145i | −1.82264 | − | 0.191567i | −0.869464 | − | 0.493996i | \(-0.835536\pi\) |
−0.953172 | + | 0.302430i | \(0.902202\pi\) | |||||||
\(60\) | 3.56720 | − | 2.93305i | 0.460524 | − | 0.378656i | ||||
\(61\) | −1.47957 | + | 6.96083i | −0.189440 | + | 0.891243i | 0.776024 | + | 0.630704i | \(0.217234\pi\) |
−0.965463 | + | 0.260539i | \(0.916100\pi\) | |||||||
\(62\) | 0.639881 | + | 0.464900i | 0.0812649 | + | 0.0590424i | ||||
\(63\) | −6.18424 | + | 4.97545i | −0.779141 | + | 0.626848i | ||||
\(64\) | −2.27534 | + | 7.00276i | −0.284417 | + | 0.875345i | ||||
\(65\) | −2.03829 | + | 3.53042i | −0.252818 | + | 0.437894i | ||||
\(66\) | −0.190919 | + | 0.921470i | −0.0235005 | + | 0.113425i | ||||
\(67\) | −1.55978 | − | 2.70162i | −0.190558 | − | 0.330056i | 0.754878 | − | 0.655866i | \(-0.227696\pi\) |
−0.945435 | + | 0.325810i | \(0.894363\pi\) | |||||||
\(68\) | −1.28728 | − | 1.42966i | −0.156105 | − | 0.173372i | ||||
\(69\) | −4.80478 | + | 2.49354i | −0.578427 | + | 0.300187i | ||||
\(70\) | 0.406556 | + | 0.421562i | 0.0485928 | + | 0.0503862i | ||||
\(71\) | −8.43794 | + | 2.74165i | −1.00140 | + | 0.325374i | −0.763425 | − | 0.645897i | \(-0.776484\pi\) |
−0.237975 | + | 0.971271i | \(0.576484\pi\) | |||||||
\(72\) | −1.70538 | − | 0.950918i | −0.200981 | − | 0.112067i | ||||
\(73\) | 5.37507 | + | 0.564943i | 0.629105 | + | 0.0661216i | 0.413715 | − | 0.910407i | \(-0.364231\pi\) |
0.215390 | + | 0.976528i | \(0.430898\pi\) | |||||||
\(74\) | −0.509371 | − | 0.226787i | −0.0592132 | − | 0.0263634i | ||||
\(75\) | 4.58815 | − | 3.02855i | 0.529793 | − | 0.349706i | ||||
\(76\) | − | 4.74860i | − | 0.544702i | ||||||
\(77\) | 8.70632 | + | 1.09547i | 0.992177 | + | 0.124840i | ||||
\(78\) | 0.846409 | + | 0.127584i | 0.0958370 | + | 0.0144460i | ||||
\(79\) | 1.98822 | − | 1.79021i | 0.223693 | − | 0.201414i | −0.549662 | − | 0.835387i | \(-0.685244\pi\) |
0.773355 | + | 0.633973i | \(0.218577\pi\) | |||||||
\(80\) | 2.11038 | − | 4.73998i | 0.235947 | − | 0.529946i | ||||
\(81\) | −5.81966 | + | 6.86524i | −0.646629 | + | 0.762805i | ||||
\(82\) | 1.37693 | + | 0.292676i | 0.152057 | + | 0.0323207i | ||||
\(83\) | −3.83565 | − | 11.8049i | −0.421017 | − | 1.29576i | −0.906757 | − | 0.421654i | \(-0.861450\pi\) |
0.485739 | − | 0.874104i | \(-0.338550\pi\) | |||||||
\(84\) | −3.76553 | + | 8.22081i | −0.410853 | + | 0.896964i | ||||
\(85\) | 0.774398 | + | 1.06587i | 0.0839953 | + | 0.115610i | ||||
\(86\) | −1.20211 | + | 1.08239i | −0.129627 | + | 0.116717i | ||||
\(87\) | 13.8636 | − | 5.44091i | 1.48633 | − | 0.583327i | ||||
\(88\) | 0.553844 | + | 2.08640i | 0.0590399 | + | 0.222411i | ||||
\(89\) | 9.72722 | + | 5.61602i | 1.03108 | + | 0.595296i | 0.917295 | − | 0.398208i | \(-0.130368\pi\) |
0.113789 | + | 0.993505i | \(0.463701\pi\) | |||||||
\(90\) | 0.543024 | + | 0.382267i | 0.0572398 | + | 0.0402944i | ||||
\(91\) | 0.562065 | − | 7.96190i | 0.0589204 | − | 0.834634i | ||||
\(92\) | −3.62479 | + | 4.98909i | −0.377910 | + | 0.520149i | ||||
\(93\) | 2.93855 | − | 7.82950i | 0.304713 | − | 0.811881i | ||||
\(94\) | −0.185416 | − | 0.166949i | −0.0191241 | − | 0.0172195i | ||||
\(95\) | −0.339927 | + | 3.23419i | −0.0348757 | + | 0.331821i | ||||
\(96\) | −3.34073 | − | 0.150065i | −0.340962 | − | 0.0153159i | ||||
\(97\) | 4.09209 | − | 12.5942i | 0.415489 | − | 1.27874i | −0.496324 | − | 0.868137i | \(-0.665317\pi\) |
0.911813 | − | 0.410606i | \(-0.134683\pi\) | |||||||
\(98\) | −1.07702 | − | 0.393625i | −0.108796 | − | 0.0397621i | ||||
\(99\) | 9.92888 | − | 0.645999i | 0.997890 | − | 0.0649254i | ||||
\(100\) | 3.13143 | − | 5.42380i | 0.313143 | − | 0.542380i | ||||
\(101\) | −2.35430 | + | 0.500421i | −0.234261 | + | 0.0497938i | −0.323546 | − | 0.946212i | \(-0.604875\pi\) |
0.0892850 | + | 0.996006i | \(0.471542\pi\) | |||||||
\(102\) | 0.148930 | − | 0.233126i | 0.0147462 | − | 0.0230829i | ||||
\(103\) | 8.65198 | − | 3.85211i | 0.852505 | − | 0.379560i | 0.0665048 | − | 0.997786i | \(-0.478815\pi\) |
0.786000 | + | 0.618226i | \(0.212149\pi\) | |||||||
\(104\) | 1.86742 | − | 0.606761i | 0.183115 | − | 0.0594978i | ||||
\(105\) | 3.15311 | − | 5.32949i | 0.307712 | − | 0.520105i | ||||
\(106\) | −0.594058 | + | 0.817651i | −0.0577000 | + | 0.0794173i | ||||
\(107\) | 0.745356 | + | 7.09159i | 0.0720563 | + | 0.685570i | 0.969608 | + | 0.244662i | \(0.0786770\pi\) |
−0.897552 | + | 0.440908i | \(0.854656\pi\) | |||||||
\(108\) | −2.43104 | + | 9.96049i | −0.233927 | + | 0.958448i | ||||
\(109\) | −10.1281 | + | 5.84745i | −0.970094 | + | 0.560084i | −0.899265 | − | 0.437404i | \(-0.855898\pi\) |
−0.0708293 | + | 0.997488i | \(0.522565\pi\) | |||||||
\(110\) | −0.113160 | − | 0.725395i | −0.0107894 | − | 0.0691637i | ||||
\(111\) | −0.878721 | + | 5.82955i | −0.0834045 | + | 0.553316i | ||||
\(112\) | 0.347797 | + | 10.1530i | 0.0328637 | + | 0.959365i | ||||
\(113\) | −9.90899 | − | 13.6386i | −0.932160 | − | 1.28301i | −0.959011 | − | 0.283368i | \(-0.908548\pi\) |
0.0268514 | − | 0.999639i | \(-0.491452\pi\) | |||||||
\(114\) | 0.658227 | − | 0.181652i | 0.0616486 | − | 0.0170133i | ||||
\(115\) | 2.82592 | − | 3.13850i | 0.263518 | − | 0.292667i | ||||
\(116\) | 11.3527 | − | 12.6084i | 1.05407 | − | 1.17066i | ||||
\(117\) | −1.08039 | − | 8.98570i | −0.0998824 | − | 0.830728i | ||||
\(118\) | −1.35544 | − | 1.86561i | −0.124779 | − | 0.171743i | ||||
\(119\) | −2.27682 | − | 1.21254i | −0.208715 | − | 0.111154i | ||||
\(120\) | 1.50632 | + | 0.227057i | 0.137508 | + | 0.0207273i | ||||
\(121\) | −8.14021 | − | 7.39844i | −0.740019 | − | 0.672586i | ||||
\(122\) | −1.00957 | + | 0.582878i | −0.0914026 | + | 0.0527713i | ||||
\(123\) | −0.889977 | − | 14.8573i | −0.0802465 | − | 1.33964i | ||||
\(124\) | −0.995836 | − | 9.47475i | −0.0894288 | − | 0.850858i | ||||
\(125\) | −6.49236 | + | 8.93597i | −0.580694 | + | 0.799257i | ||||
\(126\) | −1.28357 | − | 0.207480i | −0.114350 | − | 0.0184838i | ||||
\(127\) | 6.70438 | − | 2.17839i | 0.594918 | − | 0.193300i | 0.00394520 | − | 0.999992i | \(-0.498744\pi\) |
0.590972 | + | 0.806692i | \(0.298744\pi\) | |||||||
\(128\) | −4.62951 | + | 2.06119i | −0.409194 | + | 0.182185i | ||||
\(129\) | 14.4132 | + | 9.20772i | 1.26901 | + | 0.810695i | ||||
\(130\) | −0.653207 | + | 0.138844i | −0.0572901 | + | 0.0121774i | ||||
\(131\) | 4.16977 | − | 7.22225i | 0.364314 | − | 0.631011i | −0.624352 | − | 0.781144i | \(-0.714637\pi\) |
0.988666 | + | 0.150133i | \(0.0479700\pi\) | |||||||
\(132\) | 9.78711 | − | 5.71787i | 0.851858 | − | 0.497677i | ||||
\(133\) | −2.17375 | − | 5.98470i | −0.188488 | − | 0.518939i | ||||
\(134\) | 0.157916 | − | 0.486017i | 0.0136419 | − | 0.0419855i | ||||
\(135\) | 2.36876 | − | 6.60988i | 0.203870 | − | 0.568888i | ||||
\(136\) | 0.0663315 | − | 0.631102i | 0.00568788 | − | 0.0541166i | ||||
\(137\) | −8.39464 | − | 7.55856i | −0.717202 | − | 0.645772i | 0.227471 | − | 0.973785i | \(-0.426954\pi\) |
−0.944673 | + | 0.328013i | \(0.893621\pi\) | |||||||
\(138\) | −0.830224 | − | 0.311598i | −0.0706734 | − | 0.0265249i | ||||
\(139\) | −5.66003 | + | 7.79037i | −0.480078 | + | 0.660770i | −0.978520 | − | 0.206153i | \(-0.933906\pi\) |
0.498442 | + | 0.866923i | \(0.333906\pi\) | |||||||
\(140\) | 0.496765 | − | 7.03690i | 0.0419843 | − | 0.594726i | ||||
\(141\) | −1.18005 | + | 2.35940i | −0.0993785 | + | 0.198697i | ||||
\(142\) | −1.25867 | − | 0.726694i | −0.105625 | − | 0.0609828i | ||||
\(143\) | −6.31483 | + | 7.76113i | −0.528073 | + | 0.649018i | ||||
\(144\) | 2.56303 | + | 11.2304i | 0.213586 | + | 0.935864i | ||||
\(145\) | −8.63465 | + | 7.77468i | −0.717069 | + | 0.645652i | ||||
\(146\) | 0.520403 | + | 0.716273i | 0.0430689 | + | 0.0592792i | ||||
\(147\) | −0.982506 | + | 12.0845i | −0.0810357 | + | 0.996711i | ||||
\(148\) | 2.07539 | + | 6.38738i | 0.170596 | + | 0.525039i | ||||
\(149\) | −11.3630 | − | 2.41528i | −0.930894 | − | 0.197868i | −0.282583 | − | 0.959243i | \(-0.591191\pi\) |
−0.648312 | + | 0.761375i | \(0.724525\pi\) | |||||||
\(150\) | 0.871608 | + | 0.226582i | 0.0711665 | + | 0.0185003i | ||||
\(151\) | 2.09201 | − | 4.69873i | 0.170245 | − | 0.382377i | −0.808193 | − | 0.588918i | \(-0.799554\pi\) |
0.978438 | + | 0.206541i | \(0.0662207\pi\) | |||||||
\(152\) | 1.16403 | − | 1.04810i | 0.0944152 | − | 0.0850118i | ||||
\(153\) | −2.79499 | − | 0.862199i | −0.225961 | − | 0.0697046i | ||||
\(154\) | 0.820966 | + | 1.17996i | 0.0661553 | + | 0.0950842i | ||||
\(155\) | 6.52437i | 0.524050i | ||||||||
\(156\) | −5.67983 | − | 8.60475i | −0.454750 | − | 0.688932i | ||||
\(157\) | 6.98900 | + | 3.11170i | 0.557783 | + | 0.248341i | 0.666211 | − | 0.745763i | \(-0.267915\pi\) |
−0.108428 | + | 0.994104i | \(0.534582\pi\) | |||||||
\(158\) | 0.435870 | + | 0.0458118i | 0.0346760 | + | 0.00364459i | ||||
\(159\) | 10.0047 | + | 3.75493i | 0.793422 | + | 0.297785i | ||||
\(160\) | 2.48127 | − | 0.806213i | 0.196161 | − | 0.0637367i | ||||
\(161\) | −2.28451 | + | 7.94709i | −0.180044 | + | 0.626318i | ||||
\(162\) | −1.47367 | + | 0.0440482i | −0.115782 | + | 0.00346075i | ||||
\(163\) | 1.08805 | + | 1.20840i | 0.0852228 | + | 0.0946495i | 0.784248 | − | 0.620448i | \(-0.213049\pi\) |
−0.699025 | + | 0.715097i | \(0.746382\pi\) | |||||||
\(164\) | −8.47794 | − | 14.6842i | −0.662016 | − | 1.14665i | ||||
\(165\) | −7.07513 | + | 3.19373i | −0.550798 | + | 0.248632i | ||||
\(166\) | 1.01667 | − | 1.76092i | 0.0789085 | − | 0.136674i | ||||
\(167\) | 4.45847 | − | 13.7218i | 0.345007 | − | 1.06182i | −0.616573 | − | 0.787298i | \(-0.711480\pi\) |
0.961580 | − | 0.274524i | \(-0.0885204\pi\) | |||||||
\(168\) | −2.84629 | + | 0.891425i | −0.219596 | + | 0.0687749i | ||||
\(169\) | −3.15427 | − | 2.29171i | −0.242636 | − | 0.176285i | ||||
\(170\) | −0.0448720 | + | 0.211106i | −0.00344153 | + | 0.0161911i | ||||
\(171\) | −3.70290 | − | 6.19788i | −0.283168 | − | 0.473964i | ||||
\(172\) | 19.3775 | + | 2.03666i | 1.47752 | + | 0.155294i | ||||
\(173\) | 0.782722 | + | 7.44710i | 0.0595093 | + | 0.566193i | 0.983133 | + | 0.182892i | \(0.0585460\pi\) |
−0.923624 | + | 0.383300i | \(0.874787\pi\) | |||||||
\(174\) | 2.18199 | + | 1.09133i | 0.165417 | + | 0.0827333i | ||||
\(175\) | 1.46373 | − | 8.26911i | 0.110648 | − | 0.625086i | ||||
\(176\) | 6.96077 | − | 10.6642i | 0.524688 | − | 0.803843i | ||||
\(177\) | −15.2022 | + | 19.0626i | −1.14267 | + | 1.43283i | ||||
\(178\) | 0.382550 | + | 1.79976i | 0.0286734 | + | 0.134898i | ||||
\(179\) | 0.198773 | − | 0.446452i | 0.0148570 | − | 0.0333694i | −0.905965 | − | 0.423353i | \(-0.860853\pi\) |
0.920822 | + | 0.389984i | \(0.127520\pi\) | |||||||
\(180\) | −0.954875 | − | 7.94175i | −0.0711722 | − | 0.591943i | ||||
\(181\) | 5.29269 | + | 16.2892i | 0.393403 | + | 1.21077i | 0.930198 | + | 0.367057i | \(0.119635\pi\) |
−0.536796 | + | 0.843712i | \(0.680365\pi\) | |||||||
\(182\) | 1.03087 | − | 0.804303i | 0.0764133 | − | 0.0596189i | ||||
\(183\) | 8.78057 | + | 8.65035i | 0.649078 | + | 0.639452i | ||||
\(184\) | −2.02303 | + | 0.212629i | −0.149140 | + | 0.0156752i | ||||
\(185\) | −0.956269 | − | 4.49889i | −0.0703063 | − | 0.330765i | ||||
\(186\) | 1.27525 | − | 0.500483i | 0.0935057 | − | 0.0366972i | ||||
\(187\) | 1.46133 | + | 2.88462i | 0.106863 | + | 0.210944i | ||||
\(188\) | 3.00528i | 0.219182i | ||||||||
\(189\) | 1.49572 | + | 13.6661i | 0.108797 | + | 0.994064i | ||||
\(190\) | −0.430982 | + | 0.313127i | −0.0312668 | + | 0.0227166i | ||||
\(191\) | 5.54119 | + | 12.4457i | 0.400946 | + | 0.900540i | 0.995346 | + | 0.0963700i | \(0.0307232\pi\) |
−0.594399 | + | 0.804170i | \(0.702610\pi\) | |||||||
\(192\) | 8.09975 | + | 9.85097i | 0.584549 | + | 0.710932i | ||||
\(193\) | −5.01312 | − | 4.51383i | −0.360852 | − | 0.324913i | 0.468684 | − | 0.883366i | \(-0.344728\pi\) |
−0.829536 | + | 0.558453i | \(0.811395\pi\) | |||||||
\(194\) | 1.98173 | − | 0.882323i | 0.142280 | − | 0.0633471i | ||||
\(195\) | 3.25246 | + | 6.26713i | 0.232913 | + | 0.448798i | ||||
\(196\) | 5.15711 | + | 12.8133i | 0.368365 | + | 0.915234i | ||||
\(197\) | −13.8265 | −0.985094 | −0.492547 | − | 0.870286i | \(-0.663934\pi\) | ||||
−0.492547 | + | 0.870286i | \(0.663934\pi\) | |||||||
\(198\) | 1.16698 | + | 1.13791i | 0.0829334 | + | 0.0808676i | ||||
\(199\) | −7.00955 | − | 12.1409i | −0.496893 | − | 0.860645i | 0.503100 | − | 0.864228i | \(-0.332193\pi\) |
−0.999994 | + | 0.00358340i | \(0.998859\pi\) | |||||||
\(200\) | 2.02070 | − | 0.429513i | 0.142885 | − | 0.0303711i | ||||
\(201\) | −5.39780 | − | 0.242468i | −0.380731 | − | 0.0171024i | ||||
\(202\) | −0.318982 | − | 0.231754i | −0.0224435 | − | 0.0163061i | ||||
\(203\) | 8.53613 | − | 21.0873i | 0.599119 | − | 1.48004i | ||||
\(204\) | −3.28712 | + | 0.545830i | −0.230144 | + | 0.0382158i | ||||
\(205\) | 4.72301 | + | 10.6080i | 0.329869 | + | 0.740898i | ||||
\(206\) | 1.41732 | + | 0.631030i | 0.0987491 | + | 0.0439659i | ||||
\(207\) | −0.840646 | + | 9.33832i | −0.0584290 | + | 0.649058i | ||||
\(208\) | −10.0317 | − | 5.79183i | −0.695576 | − | 0.401591i | ||||
\(209\) | −2.08379 | + | 7.70496i | −0.144138 | + | 0.532963i | ||||
\(210\) | 0.994422 | − | 0.200329i | 0.0686216 | − | 0.0138240i | ||||
\(211\) | −19.1265 | − | 6.21459i | −1.31672 | − | 0.427830i | −0.435356 | − | 0.900259i | \(-0.643377\pi\) |
−0.881369 | + | 0.472429i | \(0.843377\pi\) | |||||||
\(212\) | 12.1070 | − | 1.27250i | 0.831513 | − | 0.0873955i | ||||
\(213\) | −3.86629 | + | 14.8727i | −0.264914 | + | 1.01906i | ||||
\(214\) | −0.781613 | + | 0.868069i | −0.0534299 | + | 0.0593400i | ||||
\(215\) | −13.0519 | − | 2.77426i | −0.890130 | − | 0.189203i | ||||
\(216\) | −2.97819 | + | 1.60252i | −0.202640 | + | 0.109038i | ||||
\(217\) | −5.59228 | − | 11.4852i | −0.379629 | − | 0.779668i | ||||
\(218\) | −1.82202 | − | 0.592011i | −0.123403 | − | 0.0400961i | ||||
\(219\) | 5.83667 | − | 7.31881i | 0.394406 | − | 0.494559i | ||||
\(220\) | −5.58118 | + | 6.85945i | −0.376283 | + | 0.462464i | ||||
\(221\) | 2.54727 | − | 1.47067i | 0.171348 | − | 0.0989278i | ||||
\(222\) | −0.805994 | + | 0.532021i | −0.0540948 | + | 0.0357069i | ||||
\(223\) | −15.2366 | + | 11.0700i | −1.02032 | + | 0.741305i | −0.966348 | − | 0.257238i | \(-0.917188\pi\) |
−0.0539702 | + | 0.998543i | \(0.517188\pi\) | |||||||
\(224\) | −3.67689 | + | 3.54601i | −0.245673 | + | 0.236928i | ||||
\(225\) | −0.142260 | − | 9.52099i | −0.00948401 | − | 0.634733i | ||||
\(226\) | 0.574171 | − | 2.70126i | 0.0381933 | − | 0.179685i | ||||
\(227\) | 1.43449 | − | 13.6482i | 0.0952104 | − | 0.905866i | −0.837790 | − | 0.545992i | \(-0.816153\pi\) |
0.933001 | − | 0.359874i | \(-0.117180\pi\) | |||||||
\(228\) | −6.93119 | − | 4.42790i | −0.459029 | − | 0.293245i | ||||
\(229\) | 11.6256 | + | 12.9115i | 0.768241 | + | 0.853218i | 0.992618 | − | 0.121284i | \(-0.0387013\pi\) |
−0.224377 | + | 0.974502i | \(0.572035\pi\) | |||||||
\(230\) | 0.691831 | 0.0456180 | ||||||||
\(231\) | 9.71731 | − | 11.6865i | 0.639352 | − | 0.768914i | ||||
\(232\) | 5.59643 | 0.367424 | ||||||||
\(233\) | 13.5262 | + | 15.0224i | 0.886130 | + | 0.984147i | 0.999956 | − | 0.00935324i | \(-0.00297727\pi\) |
−0.113826 | + | 0.993501i | \(0.536311\pi\) | |||||||
\(234\) | 0.975472 | − | 1.11647i | 0.0637686 | − | 0.0729862i | ||||
\(235\) | 0.215132 | − | 2.04684i | 0.0140336 | − | 0.133521i | ||||
\(236\) | −5.77502 | + | 27.1694i | −0.375922 | + | 1.76857i | ||||
\(237\) | −0.759082 | − | 4.57137i | −0.0493077 | − | 0.296942i | ||||
\(238\) | −0.101956 | − | 0.410085i | −0.00660885 | − | 0.0265818i | ||||
\(239\) | 0.755444 | − | 0.548862i | 0.0488656 | − | 0.0355029i | −0.563084 | − | 0.826399i | \(-0.690385\pi\) |
0.611950 | + | 0.790896i | \(0.290385\pi\) | |||||||
\(240\) | −4.95075 | − | 7.50023i | −0.319570 | − | 0.484138i | ||||
\(241\) | −22.1368 | + | 12.7807i | −1.42596 | + | 0.823278i | −0.996799 | − | 0.0799509i | \(-0.974524\pi\) |
−0.429160 | + | 0.903229i | \(0.641190\pi\) | |||||||
\(242\) | 0.00839502 | − | 1.80194i | 0.000539652 | − | 0.115833i | ||||
\(243\) | 4.59406 | + | 14.8961i | 0.294709 | + | 0.955587i | ||||
\(244\) | 13.3545 | + | 4.33913i | 0.854932 | + | 0.277784i | ||||
\(245\) | −2.59518 | − | 9.09605i | −0.165800 | − | 0.581125i | ||||
\(246\) | 1.71114 | − | 1.73690i | 0.109098 | − | 0.110740i | ||||
\(247\) | 7.10156 | + | 1.50948i | 0.451862 | + | 0.0960462i | ||||
\(248\) | 2.10276 | − | 2.33535i | 0.133525 | − | 0.148295i | ||||
\(249\) | −20.8074 | − | 5.40905i | −1.31861 | − | 0.342785i | ||||
\(250\) | −1.79949 | + | 0.189134i | −0.113810 | + | 0.0119619i | ||||
\(251\) | 10.8409 | + | 3.52241i | 0.684270 | + | 0.222333i | 0.630464 | − | 0.776219i | \(-0.282865\pi\) |
0.0538062 | + | 0.998551i | \(0.482865\pi\) | |||||||
\(252\) | 8.48810 | + | 13.1619i | 0.534700 | + | 0.829121i | ||||
\(253\) | 8.07080 | − | 6.50453i | 0.507407 | − | 0.408937i | ||||
\(254\) | 1.00008 | + | 0.577396i | 0.0627505 | + | 0.0362290i | ||||
\(255\) | 2.27787 | − | 0.136448i | 0.142646 | − | 0.00854471i | ||||
\(256\) | 12.6947 | + | 5.65207i | 0.793422 | + | 0.353254i | ||||
\(257\) | −7.89968 | − | 17.7430i | −0.492769 | − | 1.10678i | −0.973245 | − | 0.229769i | \(-0.926203\pi\) |
0.480477 | − | 0.877008i | \(-0.340464\pi\) | |||||||
\(258\) | 0.458953 | + | 2.76392i | 0.0285731 | + | 0.172074i | ||||
\(259\) | 5.53955 | + | 7.10002i | 0.344211 | + | 0.441174i | ||||
\(260\) | 6.50753 | + | 4.72800i | 0.403580 | + | 0.293218i | ||||
\(261\) | 4.98563 | − | 25.3091i | 0.308603 | − | 1.56660i | ||||
\(262\) | 1.33628 | − | 0.284035i | 0.0825557 | − | 0.0175477i | ||||
\(263\) | 13.4597 | + | 23.3128i | 0.829958 | + | 1.43753i | 0.898070 | + | 0.439852i | \(0.144969\pi\) |
−0.0681120 | + | 0.997678i | \(0.521698\pi\) | |||||||
\(264\) | 3.56181 | + | 1.13709i | 0.219214 | + | 0.0699831i | ||||
\(265\) | −8.33695 | −0.512135 | ||||||||
\(266\) | 0.490291 | − | 0.920628i | 0.0300617 | − | 0.0564473i | ||||
\(267\) | 17.2676 | − | 8.96138i | 1.05676 | − | 0.548427i | ||||
\(268\) | −5.62325 | + | 2.50363i | −0.343495 | + | 0.152934i | ||||
\(269\) | −2.15540 | − | 1.94073i | −0.131417 | − | 0.118328i | 0.600801 | − | 0.799398i | \(-0.294848\pi\) |
−0.732218 | + | 0.681070i | \(0.761515\pi\) | |||||||
\(270\) | 1.06432 | − | 0.436162i | 0.0647723 | − | 0.0265440i | ||||
\(271\) | 3.75317 | + | 8.42975i | 0.227989 | + | 0.512071i | 0.990927 | − | 0.134400i | \(-0.0429107\pi\) |
−0.762938 | + | 0.646471i | \(0.776244\pi\) | |||||||
\(272\) | −3.02868 | + | 2.20047i | −0.183641 | + | 0.133423i | ||||
\(273\) | −11.0973 | − | 8.24460i | −0.671639 | − | 0.498986i | ||||
\(274\) | − | 1.85046i | − | 0.111790i | ||||||
\(275\) | −7.46105 | + | 7.42637i | −0.449918 | + | 0.447827i | ||||
\(276\) | 3.90222 | + | 9.94298i | 0.234886 | + | 0.598497i | ||||
\(277\) | −1.89063 | − | 8.89469i | −0.113597 | − | 0.534430i | −0.997739 | − | 0.0672122i | \(-0.978590\pi\) |
0.884142 | − | 0.467218i | \(-0.154744\pi\) | |||||||
\(278\) | −1.56879 | + | 0.164887i | −0.0940900 | + | 0.00988926i | ||||
\(279\) | −8.68805 | − | 11.5899i | −0.520140 | − | 0.693870i | ||||
\(280\) | 1.83460 | − | 1.43139i | 0.109639 | − | 0.0855418i | ||||
\(281\) | 8.36422 | + | 25.7424i | 0.498967 | + | 1.53566i | 0.810681 | + | 0.585488i | \(0.199097\pi\) |
−0.311714 | + | 0.950176i | \(0.600903\pi\) | |||||||
\(282\) | −0.416576 | + | 0.114963i | −0.0248068 | + | 0.00684597i | ||||
\(283\) | −1.30173 | + | 2.92374i | −0.0773800 | + | 0.173798i | −0.948093 | − | 0.317993i | \(-0.896991\pi\) |
0.870713 | + | 0.491791i | \(0.163658\pi\) | |||||||
\(284\) | 3.63976 | + | 17.1237i | 0.215980 | + | 1.01611i | ||||
\(285\) | 4.40373 | + | 3.51193i | 0.260855 | + | 0.208029i | ||||
\(286\) | −1.63701 | + | 0.0819687i | −0.0967984 | + | 0.00484691i | ||||
\(287\) | −17.4067 | − | 14.6257i | −1.02749 | − | 0.863328i | ||||
\(288\) | −3.33416 | + | 4.73630i | −0.196467 | + | 0.279089i | ||||
\(289\) | 1.67762 | + | 15.9615i | 0.0986835 | + | 0.938911i | ||||
\(290\) | −1.89294 | − | 0.198956i | −0.111157 | − | 0.0116831i | ||||
\(291\) | −14.5670 | − | 17.7165i | −0.853935 | − | 1.03856i | ||||
\(292\) | 2.21724 | − | 10.4313i | 0.129754 | − | 0.610445i | ||||
\(293\) | 5.19871 | + | 3.77708i | 0.303712 | + | 0.220660i | 0.729194 | − | 0.684307i | \(-0.239895\pi\) |
−0.425482 | + | 0.904967i | \(0.639895\pi\) | |||||||
\(294\) | −1.57883 | + | 1.20501i | −0.0920793 | + | 0.0702775i | ||||
\(295\) | 5.87817 | − | 18.0911i | 0.342240 | − | 1.05331i | ||||
\(296\) | −1.10767 | + | 1.91854i | −0.0643821 | + | 0.111513i | ||||
\(297\) | 8.31541 | − | 15.0948i | 0.482509 | − | 0.875891i | ||||
\(298\) | −0.951504 | − | 1.64805i | −0.0551191 | − | 0.0954691i | ||||
\(299\) | −6.30897 | − | 7.00682i | −0.364857 | − | 0.405215i | ||||
\(300\) | −4.99677 | − | 9.62822i | −0.288489 | − | 0.555885i | ||||
\(301\) | 25.3539 | − | 6.30355i | 1.46137 | − | 0.363331i | ||||
\(302\) | 0.801323 | − | 0.260366i | 0.0461110 | − | 0.0149824i | ||||
\(303\) | −1.46487 | + | 3.90302i | −0.0841546 | + | 0.224223i | ||||
\(304\) | −9.18999 | − | 0.965907i | −0.527082 | − | 0.0553986i | ||||
\(305\) | −8.78487 | − | 3.91127i | −0.503020 | − | 0.223959i | ||||
\(306\) | −0.201405 | − | 0.434763i | −0.0115136 | − | 0.0248538i | ||||
\(307\) | − | 14.1560i | − | 0.807925i | −0.914776 | − | 0.403962i | \(-0.867633\pi\) | ||
0.914776 | − | 0.403962i | \(-0.132367\pi\) | |||||||
\(308\) | 3.94539 | − | 16.8589i | 0.224810 | − | 0.960628i | ||||
\(309\) | 2.44502 | − | 16.2206i | 0.139093 | − | 0.922758i | ||||
\(310\) | −0.794261 | + | 0.715155i | −0.0451110 | + | 0.0406181i | ||||
\(311\) | −8.47029 | + | 19.0246i | −0.480306 | + | 1.07879i | 0.497153 | + | 0.867663i | \(0.334379\pi\) |
−0.977460 | + | 0.211123i | \(0.932288\pi\) | |||||||
\(312\) | 0.855657 | − | 3.29151i | 0.0484420 | − | 0.186345i | ||||
\(313\) | −31.3080 | − | 6.65471i | −1.76963 | − | 0.376147i | −0.796183 | − | 0.605056i | \(-0.793151\pi\) |
−0.973448 | + | 0.228909i | \(0.926484\pi\) | |||||||
\(314\) | 0.387274 | + | 1.19191i | 0.0218551 | + | 0.0672632i | ||||
\(315\) | −4.83890 | − | 9.57193i | −0.272641 | − | 0.539317i | ||||
\(316\) | −3.10294 | − | 4.27084i | −0.174554 | − | 0.240253i | ||||
\(317\) | 8.46083 | − | 7.61816i | 0.475207 | − | 0.427879i | −0.396404 | − | 0.918076i | \(-0.629742\pi\) |
0.871611 | + | 0.490198i | \(0.163075\pi\) | |||||||
\(318\) | 0.639527 | + | 1.62953i | 0.0358629 | + | 0.0913797i | ||||
\(319\) | −23.9533 | + | 15.4763i | −1.34113 | + | 0.866505i | ||||
\(320\) | −8.61672 | − | 4.97487i | −0.481689 | − | 0.278103i | ||||
\(321\) | 11.0461 | + | 5.52472i | 0.616533 | + | 0.308360i | ||||
\(322\) | −1.21787 | + | 0.592994i | −0.0678693 | + | 0.0330463i | ||||
\(323\) | 1.37917 | − | 1.89827i | 0.0767392 | − | 0.105622i | ||||
\(324\) | 12.2717 | + | 12.8362i | 0.681763 | + | 0.713123i | ||||
\(325\) | 7.11590 | + | 6.40719i | 0.394719 | + | 0.355407i | ||||
\(326\) | −0.0278435 | + | 0.264913i | −0.00154211 | + | 0.0146722i | ||||
\(327\) | −0.908985 | + | 20.2358i | −0.0502670 | + | 1.11904i | ||||
\(328\) | 1.72833 | − | 5.31926i | 0.0954311 | − | 0.293707i | ||||
\(329\) | 1.37572 | + | 3.78757i | 0.0758457 | + | 0.208816i | ||||
\(330\) | −1.16432 | − | 0.511234i | −0.0640939 | − | 0.0281425i | ||||
\(331\) | 16.4520 | − | 28.4957i | 0.904284 | − | 1.56627i | 0.0824081 | − | 0.996599i | \(-0.473739\pi\) |
0.821876 | − | 0.569667i | \(-0.192928\pi\) | |||||||
\(332\) | −23.9566 | + | 5.09212i | −1.31479 | + | 0.279467i | ||||
\(333\) | 7.68959 | + | 6.71845i | 0.421387 | + | 0.368169i | ||||
\(334\) | 2.15916 | − | 0.961320i | 0.118144 | − | 0.0526011i | ||||
\(335\) | 4.00911 | − | 1.30264i | 0.219041 | − | 0.0711708i | ||||
\(336\) | 15.1438 | + | 8.95963i | 0.826164 | + | 0.488788i | ||||
\(337\) | 16.7364 | − | 23.0356i | 0.911688 | − | 1.25483i | −0.0548993 | − | 0.998492i | \(-0.517484\pi\) |
0.966587 | − | 0.256339i | \(-0.0825162\pi\) | |||||||
\(338\) | −0.0667616 | − | 0.635194i | −0.00363135 | − | 0.0345500i | ||||
\(339\) | −29.1470 | + | 1.74595i | −1.58305 | + | 0.0948272i | ||||
\(340\) | 2.25133 | − | 1.29981i | 0.122096 | − | 0.0704920i | ||||
\(341\) | −2.54190 | + | 15.8105i | −0.137652 | + | 0.856185i | ||||
\(342\) | 0.348629 | − | 1.13015i | 0.0188517 | − | 0.0611115i | ||||
\(343\) | 12.3650 | + | 13.7879i | 0.667648 | + | 0.744477i | ||||
\(344\) | 3.77769 | + | 5.19954i | 0.203679 | + | 0.280341i | ||||
\(345\) | −1.94597 | − | 7.05132i | −0.104767 | − | 0.379631i | ||||
\(346\) | −0.820796 | + | 0.911586i | −0.0441263 | + | 0.0490072i | ||||
\(347\) | 13.7209 | − | 15.2386i | 0.736577 | − | 0.818052i | −0.252164 | − | 0.967684i | \(-0.581142\pi\) |
0.988742 | + | 0.149632i | \(0.0478090\pi\) | |||||||
\(348\) | −7.81760 | − | 28.3275i | −0.419068 | − | 1.51851i | ||||
\(349\) | 11.3148 | + | 15.5735i | 0.605668 | + | 0.833630i | 0.996212 | − | 0.0869539i | \(-0.0277133\pi\) |
−0.390545 | + | 0.920584i | \(0.627713\pi\) | |||||||
\(350\) | 1.16711 | − | 0.728211i | 0.0623844 | − | 0.0389245i | ||||
\(351\) | −14.1232 | − | 6.80187i | −0.753840 | − | 0.363057i | ||||
\(352\) | 6.32695 | − | 0.986988i | 0.337228 | − | 0.0526066i | ||||
\(353\) | 17.4589 | − | 10.0799i | 0.929245 | − | 0.536500i | 0.0426720 | − | 0.999089i | \(-0.486413\pi\) |
0.886573 | + | 0.462590i | \(0.153080\pi\) | |||||||
\(354\) | −3.98699 | + | 0.238828i | −0.211906 | + | 0.0126935i | ||||
\(355\) | −1.25318 | − | 11.9232i | −0.0665118 | − | 0.632818i | ||||
\(356\) | 13.0269 | − | 17.9300i | 0.690423 | − | 0.950286i | ||||
\(357\) | −3.89291 | + | 2.19264i | −0.206035 | + | 0.116047i | ||||
\(358\) | 0.0761381 | − | 0.0247388i | 0.00402402 | − | 0.00130748i | ||||
\(359\) | −4.83862 | + | 2.15429i | −0.255372 | + | 0.113699i | −0.530430 | − | 0.847729i | \(-0.677970\pi\) |
0.275058 | + | 0.961428i | \(0.411303\pi\) | |||||||
\(360\) | 1.73601 | − | 1.98695i | 0.0914958 | − | 0.104721i | ||||
\(361\) | −12.9197 | + | 2.74616i | −0.679983 | + | 0.144535i | ||||
\(362\) | −1.40286 | + | 2.42983i | −0.0737329 | + | 0.127709i | ||||
\(363\) | −18.3894 | + | 4.98289i | −0.965194 | + | 0.261534i | ||||
\(364\) | −15.5082 | − | 2.74513i | −0.812848 | − | 0.143884i | ||||
\(365\) | −2.25684 | + | 6.94584i | −0.118128 | + | 0.363562i | ||||
\(366\) | −0.0906083 | + | 2.01712i | −0.00473617 | + | 0.105436i | ||||
\(367\) | 0.220588 | − | 2.09876i | 0.0115146 | − | 0.109554i | −0.987255 | − | 0.159147i | \(-0.949126\pi\) |
0.998770 | + | 0.0495927i | \(0.0157923\pi\) | |||||||
\(368\) | 8.91810 | + | 8.02989i | 0.464888 | + | 0.418587i | ||||
\(369\) | −22.5160 | − | 12.5549i | −1.17213 | − | 0.653580i | ||||
\(370\) | 0.442865 | − | 0.609551i | 0.0230234 | − | 0.0316890i | ||||
\(371\) | 14.6760 | − | 7.14592i | 0.761942 | − | 0.370998i | ||||
\(372\) | −14.7582 | − | 7.38132i | −0.765176 | − | 0.382704i | ||||
\(373\) | 7.32708 | + | 4.23029i | 0.379382 | + | 0.219036i | 0.677549 | − | 0.735477i | \(-0.263042\pi\) |
−0.298167 | + | 0.954514i | \(0.596375\pi\) | |||||||
\(374\) | −0.190986 | + | 0.494091i | −0.00987563 | + | 0.0255488i | ||||
\(375\) | 6.98928 | + | 17.8089i | 0.360925 | + | 0.919647i | ||||
\(376\) | −0.736686 | + | 0.663315i | −0.0379917 | + | 0.0342079i | ||||
\(377\) | 15.2472 | + | 20.9859i | 0.785269 | + | 1.08083i | ||||
\(378\) | −1.49973 | + | 1.68007i | −0.0771378 | + | 0.0864134i | ||||
\(379\) | −5.24240 | − | 16.1344i | −0.269284 | − | 0.828770i | −0.990675 | − | 0.136243i | \(-0.956497\pi\) |
0.721392 | − | 0.692527i | \(-0.243503\pi\) | |||||||
\(380\) | 6.27651 | + | 1.33411i | 0.321978 | + | 0.0684386i | ||||
\(381\) | 3.07197 | − | 11.8172i | 0.157382 | − | 0.605411i | ||||
\(382\) | −0.907724 | + | 2.03878i | −0.0464432 | + | 0.104313i | ||||
\(383\) | 23.3601 | − | 21.0335i | 1.19365 | − | 1.07476i | 0.198128 | − | 0.980176i | \(-0.436514\pi\) |
0.995517 | − | 0.0945868i | \(-0.0301530\pi\) | |||||||
\(384\) | −1.30828 | + | 8.67933i | −0.0667631 | + | 0.442915i | ||||
\(385\) | −3.89398 | + | 11.1999i | −0.198455 | + | 0.570799i | ||||
\(386\) | − | 1.10506i | − | 0.0562461i | ||||||
\(387\) | 26.8797 | − | 12.4521i | 1.36637 | − | 0.632974i | ||||
\(388\) | −23.8702 | − | 10.6277i | −1.21183 | − | 0.539540i | ||||
\(389\) | 25.1301 | + | 2.64128i | 1.27415 | + | 0.133918i | 0.717340 | − | 0.696723i | \(-0.245360\pi\) |
0.556807 | + | 0.830642i | \(0.312026\pi\) | |||||||
\(390\) | −0.406433 | + | 1.08291i | −0.0205805 | + | 0.0548350i | ||||
\(391\) | −2.89804 | + | 0.941630i | −0.146560 | + | 0.0476203i | ||||
\(392\) | −2.00267 | + | 4.09227i | −0.101150 | + | 0.206691i | ||||
\(393\) | −6.65363 | − | 12.8208i | −0.335631 | − | 0.646724i | ||||
\(394\) | −1.51556 | − | 1.68320i | −0.0763528 | − | 0.0847983i | ||||
\(395\) | 1.80763 | + | 3.13091i | 0.0909519 | + | 0.157533i | ||||
\(396\) | 0.780170 | − | 19.6172i | 0.0392050 | − | 0.985803i | ||||
\(397\) | 6.79368 | − | 11.7670i | 0.340965 | − | 0.590569i | −0.643647 | − | 0.765322i | \(-0.722580\pi\) |
0.984612 | + | 0.174753i | \(0.0559128\pi\) | |||||||
\(398\) | 0.709665 | − | 2.18412i | 0.0355723 | − | 0.109480i | ||||
\(399\) | −10.7624 | − | 2.40765i | −0.538792 | − | 0.120534i | ||||
\(400\) | −9.85974 | − | 7.16352i | −0.492987 | − | 0.358176i | ||||
\(401\) | −0.433353 | + | 2.03876i | −0.0216406 | + | 0.101811i | −0.987642 | − | 0.156724i | \(-0.949907\pi\) |
0.966002 | + | 0.258535i | \(0.0832399\pi\) | |||||||
\(402\) | −0.562152 | − | 0.683693i | −0.0280376 | − | 0.0340995i | ||||
\(403\) | 14.4861 | + | 1.52255i | 0.721604 | + | 0.0758437i | ||||
\(404\) | 0.496426 | + | 4.72318i | 0.0246981 | + | 0.234987i | ||||
\(405\) | −7.43917 | − | 9.62098i | −0.369656 | − | 0.478070i | ||||
\(406\) | 3.50279 | − | 1.27228i | 0.173841 | − | 0.0631420i | ||||
\(407\) | −0.564550 | − | 11.2747i | −0.0279837 | − | 0.558867i | ||||
\(408\) | −0.859321 | − | 0.685300i | −0.0425428 | − | 0.0339274i | ||||
\(409\) | −0.461323 | − | 2.17035i | −0.0228109 | − | 0.107317i | 0.965269 | − | 0.261257i | \(-0.0841370\pi\) |
−0.988080 | + | 0.153940i | \(0.950804\pi\) | |||||||
\(410\) | −0.773695 | + | 1.73775i | −0.0382101 | + | 0.0858212i | ||||
\(411\) | −18.8604 | + | 5.20494i | −0.930314 | + | 0.256741i | ||||
\(412\) | −5.77472 | − | 17.7728i | −0.284500 | − | 0.875601i | ||||
\(413\) | 5.15891 | + | 36.8853i | 0.253854 | + | 1.81501i | ||||
\(414\) | −1.22897 | + | 0.921264i | −0.0604006 | + | 0.0452776i | ||||
\(415\) | 16.6809 | − | 1.75323i | 0.818833 | − | 0.0860628i | ||||
\(416\) | −1.21100 | − | 5.69732i | −0.0593743 | − | 0.279334i | ||||
\(417\) | 6.09324 | + | 15.5258i | 0.298387 | + | 0.760300i | ||||
\(418\) | −1.16639 | + | 0.590889i | −0.0570501 | + | 0.0289013i | ||||
\(419\) | − | 9.49763i | − | 0.463990i | −0.972717 | − | 0.231995i | \(-0.925475\pi\) | ||
0.972717 | − | 0.231995i | \(-0.0745253\pi\) | |||||||
\(420\) | −9.80803 | − | 7.28675i | −0.478583 | − | 0.355557i | ||||
\(421\) | −6.64198 | + | 4.82568i | −0.323710 | + | 0.235189i | −0.737757 | − | 0.675066i | \(-0.764115\pi\) |
0.414047 | + | 0.910256i | \(0.364115\pi\) | |||||||
\(422\) | −1.33997 | − | 3.00962i | −0.0652286 | − | 0.146506i | ||||
\(423\) | 2.34348 | + | 3.92249i | 0.113944 | + | 0.190718i | ||||
\(424\) | 2.98415 | + | 2.68694i | 0.144923 | + | 0.130489i | ||||
\(425\) | 2.82707 | − | 1.25869i | 0.137133 | − | 0.0610556i | ||||
\(426\) | −2.23437 | + | 1.15957i | −0.108255 | + | 0.0561815i | ||||
\(427\) | 18.8170 | − | 0.644591i | 0.910620 | − | 0.0311939i | ||||
\(428\) | 14.0700 | 0.680097 | ||||||||
\(429\) | 5.43999 | + | 16.4543i | 0.262645 | + | 0.794420i | ||||
\(430\) | −1.09292 | − | 1.89300i | −0.0527054 | − | 0.0912884i | ||||
\(431\) | 9.56849 | − | 2.03385i | 0.460898 | − | 0.0979669i | 0.0283898 | − | 0.999597i | \(-0.490962\pi\) |
0.432508 | + | 0.901630i | \(0.357629\pi\) | |||||||
\(432\) | 18.7821 | + | 6.73086i | 0.903653 | + | 0.323839i | ||||
\(433\) | 2.99010 | + | 2.17244i | 0.143695 | + | 0.104401i | 0.657310 | − | 0.753620i | \(-0.271694\pi\) |
−0.513615 | + | 0.858021i | \(0.671694\pi\) | |||||||
\(434\) | 0.785198 | − | 1.93972i | 0.0376907 | − | 0.0931096i | ||||
\(435\) | 3.29661 | + | 19.8530i | 0.158061 | + | 0.951877i | ||||
\(436\) | 9.38584 | + | 21.0809i | 0.449500 | + | 1.00959i | ||||
\(437\) | −6.87121 | − | 3.05926i | −0.328694 | − | 0.146344i | ||||
\(438\) | 1.53075 | − | 0.0916945i | 0.0731420 | − | 0.00438133i | ||||
\(439\) | 9.17272 | + | 5.29587i | 0.437790 | + | 0.252758i | 0.702660 | − | 0.711526i | \(-0.251996\pi\) |
−0.264870 | + | 0.964284i | \(0.585329\pi\) | |||||||
\(440\) | −2.91332 | + | 0.145877i | −0.138887 | + | 0.00695439i | ||||
\(441\) | 16.7227 | + | 12.7024i | 0.796318 | + | 0.604878i | ||||
\(442\) | 0.458250 | + | 0.148894i | 0.0217967 | + | 0.00708218i | ||||
\(443\) | −4.21790 | + | 0.443319i | −0.200398 | + | 0.0210627i | −0.204196 | − | 0.978930i | \(-0.565458\pi\) |
0.00379736 | + | 0.999993i | \(0.498791\pi\) | |||||||
\(444\) | 11.2584 | + | 2.92672i | 0.534301 | + | 0.138896i | ||||
\(445\) | −10.1559 | + | 11.2792i | −0.481435 | + | 0.534687i | ||||
\(446\) | −3.01777 | − | 0.641447i | −0.142896 | − | 0.0303734i | ||||
\(447\) | −14.1210 | + | 14.3336i | −0.667901 | + | 0.677956i | ||||
\(448\) | 19.4327 | + | 1.37184i | 0.918108 | + | 0.0648132i | ||||
\(449\) | −34.2600 | − | 11.1318i | −1.61683 | − | 0.525340i | −0.645639 | − | 0.763643i | \(-0.723409\pi\) |
−0.971191 | + | 0.238302i | \(0.923409\pi\) | |||||||
\(450\) | 1.14347 | − | 1.06094i | 0.0539036 | − | 0.0500133i | ||||
\(451\) | 7.31234 | + | 27.5465i | 0.344325 | + | 1.29712i | ||||
\(452\) | −28.8075 | + | 16.6320i | −1.35499 | + | 0.782303i | ||||
\(453\) | −4.90766 | − | 7.43495i | −0.230582 | − | 0.349324i | ||||
\(454\) | 1.81874 | − | 1.32139i | 0.0853579 | − | 0.0620161i | ||||
\(455\) | 10.3658 | + | 2.97980i | 0.485957 | + | 0.139695i | ||||
\(456\) | −0.444413 | − | 2.67636i | −0.0208116 | − | 0.125332i | ||||
\(457\) | −4.28934 | + | 20.1798i | −0.200647 | + | 0.943970i | 0.756416 | + | 0.654091i | \(0.226949\pi\) |
−0.957063 | + | 0.289880i | \(0.906385\pi\) | |||||||
\(458\) | −0.297502 | + | 2.83054i | −0.0139014 | + | 0.132263i | ||||
\(459\) | −3.86472 | + | 3.27567i | −0.180389 | + | 0.152895i | ||||
\(460\) | −5.57600 | − | 6.19278i | −0.259982 | − | 0.288740i | ||||
\(461\) | 14.5194 | 0.676235 | 0.338118 | − | 0.941104i | \(-0.390210\pi\) | ||||
0.338118 | + | 0.941104i | \(0.390210\pi\) | |||||||
\(462\) | 2.48783 | − | 0.0980293i | 0.115744 | − | 0.00456074i | ||||
\(463\) | 3.95940 | 0.184009 | 0.0920044 | − | 0.995759i | \(-0.470673\pi\) | ||||
0.0920044 | + | 0.995759i | \(0.470673\pi\) | |||||||
\(464\) | −22.0919 | − | 24.5355i | −1.02559 | − | 1.13903i | ||||
\(465\) | 9.52314 | + | 6.08374i | 0.441625 | + | 0.282127i | ||||
\(466\) | −0.346139 | + | 3.29329i | −0.0160346 | + | 0.152559i | ||||
\(467\) | −0.928121 | + | 4.36646i | −0.0429483 | + | 0.202056i | −0.994390 | − | 0.105772i | \(-0.966269\pi\) |
0.951442 | + | 0.307828i | \(0.0996020\pi\) | |||||||
\(468\) | −17.8560 | + | 0.266799i | −0.825392 | + | 0.0123328i | ||||
\(469\) | −5.94094 | + | 5.72948i | −0.274327 | + | 0.264563i | ||||
\(470\) | 0.272759 | − | 0.198171i | 0.0125814 | − | 0.00914093i | ||||
\(471\) | 11.0589 | − | 7.29978i | 0.509568 | − | 0.336356i | ||||
\(472\) | −7.93469 | + | 4.58110i | −0.365224 | + | 0.210862i | ||||
\(473\) | −30.5477 | − | 11.8079i | −1.40458 | − | 0.542927i | ||||
\(474\) | 0.473302 | − | 0.593490i | 0.0217395 | − | 0.0272599i | ||||
\(475\) | 7.26471 | + | 2.36045i | 0.333328 | + | 0.108305i | ||||
\(476\) | −2.84904 | + | 4.21783i | −0.130586 | + | 0.193324i | ||||
\(477\) | 14.8098 | − | 11.1017i | 0.678094 | − | 0.508314i | ||||
\(478\) | 0.149624 | + | 0.0318035i | 0.00684363 | + | 0.00145466i | ||||
\(479\) | −19.8657 | + | 22.0631i | −0.907688 | + | 1.00809i | 0.0922360 | + | 0.995737i | \(0.470599\pi\) |
−0.999924 | + | 0.0123522i | \(0.996068\pi\) | |||||||
\(480\) | 1.13693 | − | 4.37349i | 0.0518933 | − | 0.199622i | ||||
\(481\) | −10.2121 | + | 1.07333i | −0.465631 | + | 0.0489398i | ||||
\(482\) | −3.98238 | − | 1.29395i | −0.181392 | − | 0.0589379i | ||||
\(483\) | 9.46956 | + | 10.7449i | 0.430880 | + | 0.488910i | ||||
\(484\) | −16.1973 | + | 14.4481i | −0.736241 | + | 0.656730i | ||||
\(485\) | 15.4968 | + | 8.94708i | 0.703673 | + | 0.406266i | ||||
\(486\) | −1.30985 | + | 2.19208i | −0.0594160 | + | 0.0994347i | ||||
\(487\) | −11.0751 | − | 4.93094i | −0.501860 | − | 0.223442i | 0.140162 | − | 0.990129i | \(-0.455238\pi\) |
−0.642022 | + | 0.766686i | \(0.721904\pi\) | |||||||
\(488\) | 1.88390 | + | 4.23131i | 0.0852801 | + | 0.191542i | ||||
\(489\) | 2.77839 | − | 0.461355i | 0.125643 | − | 0.0208632i | ||||
\(490\) | 0.822866 | − | 1.31298i | 0.0371733 | − | 0.0593142i | ||||
\(491\) | −28.5539 | − | 20.7456i | −1.28862 | − | 0.936236i | −0.288842 | − | 0.957377i | \(-0.593270\pi\) |
−0.999777 | + | 0.0211411i | \(0.993270\pi\) | |||||||
\(492\) | −29.3389 | − | 1.31789i | −1.32270 | − | 0.0594152i | ||||
\(493\) | 8.20021 | − | 1.74301i | 0.369319 | − | 0.0785011i | ||||
\(494\) | 0.594663 | + | 1.02999i | 0.0267552 | + | 0.0463413i | ||||
\(495\) | −1.93565 | + | 13.3051i | −0.0870010 | + | 0.598019i | ||||
\(496\) | −18.5391 | −0.832430 | ||||||||
\(497\) | 12.4259 | + | 19.9150i | 0.557377 | + | 0.893309i | ||||
\(498\) | −1.62227 | − | 3.12594i | −0.0726959 | − | 0.140077i | ||||
\(499\) | −9.24250 | + | 4.11502i | −0.413751 | + | 0.184214i | −0.603046 | − | 0.797706i | \(-0.706046\pi\) |
0.189295 | + | 0.981920i | \(0.439380\pi\) | |||||||
\(500\) | 16.1965 | + | 14.5834i | 0.724329 | + | 0.652188i | ||||
\(501\) | −15.8713 | − | 19.3028i | −0.709077 | − | 0.862384i | ||||
\(502\) | 0.759491 | + | 1.70584i | 0.0338977 | + | 0.0761356i | ||||
\(503\) | −29.9992 | + | 21.7957i | −1.33760 | + | 0.971822i | −0.338069 | + | 0.941121i | \(0.609774\pi\) |
−0.999529 | + | 0.0307003i | \(0.990226\pi\) | |||||||
\(504\) | −1.35292 | + | 4.98574i | −0.0602637 | + | 0.222083i | ||||
\(505\) | − | 3.25241i | − | 0.144730i | ||||||
\(506\) | 1.67651 | + | 0.269538i | 0.0745300 | + | 0.0119824i | ||||
\(507\) | −6.28628 | + | 2.46711i | −0.279184 | + | 0.109568i | ||||
\(508\) | −2.89198 | − | 13.6057i | −0.128311 | − | 0.603654i | ||||
\(509\) | 19.2382 | − | 2.02201i | 0.852717 | − | 0.0896242i | 0.331923 | − | 0.943307i | \(-0.392303\pi\) |
0.520794 | + | 0.853682i | \(0.325636\pi\) | |||||||
\(510\) | 0.266295 | + | 0.262346i | 0.0117917 | + | 0.0116169i | ||||
\(511\) | −1.98069 | − | 14.1616i | −0.0876206 | − | 0.626472i | ||||
\(512\) | 3.83540 | + | 11.8042i | 0.169503 | + | 0.521675i | ||||
\(513\) | −12.4994 | − | 0.374456i | −0.551862 | − | 0.0165326i | ||||
\(514\) | 1.29408 | − | 2.90655i | 0.0570794 | − | 0.128202i | ||||
\(515\) | 2.66080 | + | 12.5181i | 0.117249 | + | 0.551613i | ||||
\(516\) | 21.0416 | − | 26.3848i | 0.926304 | − | 1.16153i | ||||
\(517\) | 1.31878 | − | 4.87629i | 0.0579998 | − | 0.214459i | ||||
\(518\) | −0.257132 | + | 1.45263i | −0.0112977 | + | 0.0638247i | ||||
\(519\) | 11.5999 | + | 5.80168i | 0.509177 | + | 0.254665i | ||||
\(520\) | 0.277343 | + | 2.63875i | 0.0121623 | + | 0.115717i | ||||
\(521\) | 19.0424 | + | 2.00144i | 0.834263 | + | 0.0876846i | 0.512021 | − | 0.858973i | \(-0.328897\pi\) |
0.322242 | + | 0.946657i | \(0.395564\pi\) | |||||||
\(522\) | 3.62756 | − | 2.16727i | 0.158774 | − | 0.0948590i | ||||
\(523\) | −6.84914 | + | 32.2227i | −0.299492 | + | 1.40900i | 0.528821 | + | 0.848733i | \(0.322634\pi\) |
−0.828313 | + | 0.560265i | \(0.810699\pi\) | |||||||
\(524\) | −13.3126 | − | 9.67217i | −0.581564 | − | 0.422531i | ||||
\(525\) | −10.7049 | − | 9.84716i | −0.467202 | − | 0.429765i | ||||
\(526\) | −1.36269 | + | 4.19393i | −0.0594162 | + | 0.182864i | ||||
\(527\) | 2.35373 | − | 4.07679i | 0.102530 | − | 0.177588i | ||||
\(528\) | −9.07505 | − | 20.1041i | −0.394941 | − | 0.874919i | ||||
\(529\) | −6.61606 | − | 11.4593i | −0.287655 | − | 0.498232i | ||||
\(530\) | −0.913838 | − | 1.01492i | −0.0396946 | − | 0.0440853i | ||||
\(531\) | 13.6487 | + | 39.9647i | 0.592305 | + | 1.73432i | ||||
\(532\) | −12.1924 | + | 3.03132i | −0.528610 | + | 0.131424i | ||||
\(533\) | 24.6553 | − | 8.01100i | 1.06794 | − | 0.346995i | ||||
\(534\) | 2.98369 | + | 1.11983i | 0.129117 | + | 0.0484598i | ||||
\(535\) | −9.58279 | − | 1.00719i | −0.414300 | − | 0.0435447i | ||||
\(536\) | −1.85486 | − | 0.825838i | −0.0801179 | − | 0.0356708i | ||||
\(537\) | −0.466304 | − | 0.706435i | −0.0201225 | − | 0.0304849i | ||||
\(538\) | − | 0.475122i | − | 0.0204840i | ||||||
\(539\) | −2.74505 | − | 23.0535i | −0.118238 | − | 0.992985i | ||||
\(540\) | −12.4824 | − | 6.01164i | −0.537156 | − | 0.258700i | ||||
\(541\) | −12.8244 | + | 11.5471i | −0.551363 | + | 0.496449i | −0.897067 | − | 0.441894i | \(-0.854307\pi\) |
0.345704 | + | 0.938343i | \(0.387640\pi\) | |||||||
\(542\) | −0.614822 | + | 1.38091i | −0.0264089 | + | 0.0593153i | ||||
\(543\) | 28.7115 | + | 7.46378i | 1.23213 | + | 0.320302i | ||||
\(544\) | −1.84128 | − | 0.391377i | −0.0789444 | − | 0.0167802i | ||||
\(545\) | −4.88345 | − | 15.0297i | −0.209184 | − | 0.643803i | ||||
\(546\) | −0.212731 | − | 2.25467i | −0.00910403 | − | 0.0964911i | ||||
\(547\) | 12.8467 | + | 17.6820i | 0.549287 | + | 0.756029i | 0.989915 | − | 0.141661i | \(-0.0452442\pi\) |
−0.440628 | + | 0.897690i | \(0.645244\pi\) | |||||||
\(548\) | −16.5640 | + | 14.9143i | −0.707579 | + | 0.637107i | ||||
\(549\) | 20.8138 | − | 4.75020i | 0.888313 | − | 0.202734i | ||||
\(550\) | −1.72190 | − | 0.0942633i | −0.0734219 | − | 0.00401940i | ||||
\(551\) | 17.9208 | + | 10.3466i | 0.763450 | + | 0.440778i | ||||
\(552\) | −1.57605 | + | 3.15114i | −0.0670810 | + | 0.134121i | ||||
\(553\) | −5.86571 | − | 3.96214i | −0.249435 | − | 0.168487i | ||||
\(554\) | 0.875581 | − | 1.20513i | 0.0371999 | − | 0.0512013i | ||||
\(555\) | −7.45839 | − | 2.79926i | −0.316591 | − | 0.118822i | ||||
\(556\) | 14.1201 | + | 12.7138i | 0.598825 | + | 0.539184i | ||||
\(557\) | 4.56104 | − | 43.3954i | 0.193257 | − | 1.83872i | −0.282646 | − | 0.959224i | \(-0.591212\pi\) |
0.475904 | − | 0.879497i | \(-0.342121\pi\) | |||||||
\(558\) | 0.458604 | − | 2.32807i | 0.0194143 | − | 0.0985550i | ||||
\(559\) | −9.20554 | + | 28.3318i | −0.389353 | + | 1.19831i | ||||
\(560\) | −13.5175 | − | 2.39276i | −0.571218 | − | 0.101112i | ||||
\(561\) | 5.57311 | + | 0.556806i | 0.235297 | + | 0.0235084i | ||||
\(562\) | −2.21699 | + | 3.83994i | −0.0935182 | + | 0.161978i | ||||
\(563\) | 10.2860 | − | 2.18635i | 0.433502 | − | 0.0921438i | 0.0140084 | − | 0.999902i | \(-0.495541\pi\) |
0.419494 | + | 0.907758i | \(0.362208\pi\) | |||||||
\(564\) | 4.38658 | + | 2.80232i | 0.184709 | + | 0.117999i | ||||
\(565\) | 20.8108 | − | 9.26558i | 0.875518 | − | 0.389806i | ||||
\(566\) | −0.498616 | + | 0.162010i | −0.0209584 | + | 0.00680979i | ||||
\(567\) | 21.3421 | + | 10.5600i | 0.896285 | + | 0.443478i | ||||
\(568\) | −3.39419 | + | 4.67171i | −0.142417 | + | 0.196021i | ||||
\(569\) | 0.809579 | + | 7.70263i | 0.0339393 | + | 0.322911i | 0.998298 | + | 0.0583138i | \(0.0185724\pi\) |
−0.964359 | + | 0.264597i | \(0.914761\pi\) | |||||||
\(570\) | 0.0551726 | + | 0.921053i | 0.00231093 | + | 0.0385787i | ||||
\(571\) | 7.97168 | − | 4.60245i | 0.333605 | − | 0.192607i | −0.323836 | − | 0.946113i | \(-0.604973\pi\) |
0.657440 | + | 0.753507i | \(0.271639\pi\) | |||||||
\(572\) | 13.9277 | + | 13.9927i | 0.582344 | + | 0.585064i | ||||
\(573\) | 23.3331 | + | 3.51712i | 0.974752 | + | 0.146930i | ||||
\(574\) | −0.127507 | − | 3.72222i | −0.00532206 | − | 0.155363i | ||||
\(575\) | −5.83080 | − | 8.02541i | −0.243161 | − | 0.334683i | ||||
\(576\) | 21.9315 | − | 2.63693i | 0.913811 | − | 0.109872i | ||||
\(577\) | 7.28641 | − | 8.09237i | 0.303337 | − | 0.336890i | −0.572134 | − | 0.820160i | \(-0.693884\pi\) |
0.875471 | + | 0.483270i | \(0.160551\pi\) | |||||||
\(578\) | −1.75922 | + | 1.95382i | −0.0731741 | + | 0.0812680i | ||||
\(579\) | −11.2631 | + | 3.10829i | −0.468077 | + | 0.129176i | ||||
\(580\) | 13.4758 | + | 18.5478i | 0.559551 | + | 0.770155i | ||||
\(581\) | −27.8616 | + | 17.3841i | −1.15589 | + | 0.721216i | ||||
\(582\) | 0.560031 | − | 3.71532i | 0.0232140 | − | 0.154005i | ||||
\(583\) | −20.2029 | − | 3.24809i | −0.836719 | − | 0.134522i | ||||
\(584\) | 3.04641 | − | 1.75885i | 0.126061 | − | 0.0727816i | ||||
\(585\) | 12.1805 | + | 1.09650i | 0.503601 | + | 0.0453347i | ||||
\(586\) | 0.110033 | + | 1.04690i | 0.00454543 | + | 0.0432469i | ||||
\(587\) | 15.1422 | − | 20.8415i | 0.624986 | − | 0.860220i | −0.372718 | − | 0.927945i | \(-0.621574\pi\) |
0.997704 | + | 0.0677247i | \(0.0215740\pi\) | |||||||
\(588\) | 23.5114 | + | 4.42047i | 0.969594 | + | 0.182297i | ||||
\(589\) | 11.0509 | − | 3.59066i | 0.455346 | − | 0.147951i | ||||
\(590\) | 2.84670 | − | 1.26743i | 0.117197 | − | 0.0521793i | ||||
\(591\) | −12.8927 | + | 20.1815i | −0.530334 | + | 0.830154i | ||||
\(592\) | 12.7837 | − | 2.71725i | 0.525406 | − | 0.111678i | ||||
\(593\) | 16.7107 | − | 28.9438i | 0.686226 | − | 1.18858i | −0.286824 | − | 0.957983i | \(-0.592600\pi\) |
0.973050 | − | 0.230595i | \(-0.0740671\pi\) | |||||||
\(594\) | 2.74909 | − | 0.642291i | 0.112796 | − | 0.0263535i | ||||
\(595\) | 2.24236 | − | 2.66874i | 0.0919279 | − | 0.109408i | ||||
\(596\) | −7.08329 | + | 21.8001i | −0.290143 | + | 0.892968i | ||||
\(597\) | −24.2573 | − | 1.08963i | −0.992786 | − | 0.0445957i | ||||
\(598\) | 0.161448 | − | 1.53608i | 0.00660211 | − | 0.0628149i | ||||
\(599\) | −32.7657 | − | 29.5024i | −1.33877 | − | 1.20543i | −0.960019 | − | 0.279936i | \(-0.909687\pi\) |
−0.378751 | − | 0.925498i | \(-0.623646\pi\) | |||||||
\(600\) | 1.25730 | − | 3.34997i | 0.0513291 | − | 0.136762i | ||||
\(601\) | 18.1828 | − | 25.0265i | 0.741692 | − | 1.02085i | −0.256827 | − | 0.966457i | \(-0.582677\pi\) |
0.998520 | − | 0.0543947i | \(-0.0173229\pi\) | |||||||
\(602\) | 3.54650 | + | 2.39557i | 0.144544 | + | 0.0976362i | ||||
\(603\) | −5.38717 | + | 7.65268i | −0.219383 | + | 0.311641i | ||||
\(604\) | −8.78909 | − | 5.07439i | −0.357623 | − | 0.206474i | ||||
\(605\) | 12.0659 | − | 8.68083i | 0.490551 | − | 0.352926i | ||||
\(606\) | −0.635713 | + | 0.249492i | −0.0258241 | + | 0.0101349i | ||||
\(607\) | −6.35085 | + | 5.71833i | −0.257773 | + | 0.232100i | −0.787877 | − | 0.615833i | \(-0.788820\pi\) |
0.530104 | + | 0.847933i | \(0.322153\pi\) | |||||||
\(608\) | −2.73112 | − | 3.75906i | −0.110761 | − | 0.152450i | ||||
\(609\) | −22.8200 | − | 32.1227i | −0.924712 | − | 1.30168i | ||||
\(610\) | −0.486787 | − | 1.49817i | −0.0197094 | − | 0.0606593i | ||||
\(611\) | −4.49441 | − | 0.955317i | −0.181824 | − | 0.0386480i | ||||
\(612\) | −2.26841 | + | 5.30693i | −0.0916951 | + | 0.214520i | ||||
\(613\) | 12.2259 | − | 27.4598i | 0.493799 | − | 1.10909i | −0.479079 | − | 0.877772i | \(-0.659029\pi\) |
0.972878 | − | 0.231319i | \(-0.0743040\pi\) | |||||||
\(614\) | 1.72332 | − | 1.55168i | 0.0695473 | − | 0.0626207i | ||||
\(615\) | 19.8878 | + | 2.99780i | 0.801954 | + | 0.120883i | ||||
\(616\) | 5.00346 | − | 2.75392i | 0.201595 | − | 0.110958i | ||||
\(617\) | 2.20330i | 0.0887014i | 0.999016 | + | 0.0443507i | \(0.0141219\pi\) | ||||
−0.999016 | + | 0.0443507i | \(0.985878\pi\) | |||||||
\(618\) | 2.24266 | − | 1.48034i | 0.0902132 | − | 0.0595480i | ||||
\(619\) | 15.2599 | + | 6.79413i | 0.613346 | + | 0.273079i | 0.689807 | − | 0.723993i | \(-0.257695\pi\) |
−0.0764608 | + | 0.997073i | \(0.524362\pi\) | |||||||
\(620\) | 12.8031 | + | 1.34566i | 0.514186 | + | 0.0540431i | ||||
\(621\) | 12.8466 | + | 9.93469i | 0.515516 | + | 0.398665i | ||||
\(622\) | −3.24446 | + | 1.05419i | −0.130091 | + | 0.0422692i | ||||
\(623\) | 8.21013 | − | 28.5605i | 0.328932 | − | 1.14425i | ||||
\(624\) | −17.8081 | + | 9.24192i | −0.712896 | + | 0.369973i | ||||
\(625\) | 0.631980 | + | 0.701885i | 0.0252792 | + | 0.0280754i | ||||
\(626\) | −2.62163 | − | 4.54080i | −0.104781 | − | 0.181487i | ||||
\(627\) | 9.30330 | + | 10.2261i | 0.371538 | + | 0.408393i | ||||
\(628\) | 7.54776 | − | 13.0731i | 0.301189 | − | 0.521674i | ||||
\(629\) | −1.02549 | + | 3.15614i | −0.0408891 | + | 0.125844i | ||||
\(630\) | 0.634857 | − | 1.63828i | 0.0252933 | − | 0.0652708i | ||||
\(631\) | −5.50651 | − | 4.00072i | −0.219211 | − | 0.159266i | 0.472761 | − | 0.881191i | \(-0.343258\pi\) |
−0.691971 | + | 0.721925i | \(0.743258\pi\) | |||||||
\(632\) | 0.362042 | − | 1.70327i | 0.0144012 | − | 0.0677525i | ||||
\(633\) | −26.9058 | + | 22.1227i | −1.06941 | + | 0.879299i | ||||
\(634\) | 1.85483 | + | 0.194951i | 0.0736648 | + | 0.00774249i | ||||
\(635\) | 0.995715 | + | 9.47360i | 0.0395138 | + | 0.375948i | ||||
\(636\) | 9.43199 | − | 18.8583i | 0.374003 | − | 0.747779i | ||||
\(637\) | −20.8017 | + | 3.63941i | −0.824192 | + | 0.144199i | ||||
\(638\) | −4.50964 | − | 1.21962i | −0.178538 | − | 0.0482853i | ||||
\(639\) | 18.1035 | + | 19.5116i | 0.716162 | + | 0.771869i | ||||
\(640\) | −1.42374 | − | 6.69818i | −0.0562784 | − | 0.264769i | ||||
\(641\) | −14.0074 | + | 31.4611i | −0.553258 | + | 1.24264i | 0.393093 | + | 0.919499i | \(0.371405\pi\) |
−0.946351 | + | 0.323140i | \(0.895262\pi\) | |||||||
\(642\) | 0.538230 | + | 1.95031i | 0.0212422 | + | 0.0769724i | ||||
\(643\) | 6.56159 | + | 20.1945i | 0.258764 | + | 0.796393i | 0.993065 | + | 0.117569i | \(0.0375102\pi\) |
−0.734301 | + | 0.678824i | \(0.762490\pi\) | |||||||
\(644\) | 15.1238 | + | 6.12211i | 0.595963 | + | 0.241245i | ||||
\(645\) | −16.2198 | + | 16.4639i | −0.638653 | + | 0.648267i | ||||
\(646\) | 0.382266 | − | 0.0401778i | 0.0150400 | − | 0.00158077i | ||||
\(647\) | −7.21775 | − | 33.9568i | −0.283759 | − | 1.33498i | −0.856883 | − | 0.515512i | \(-0.827602\pi\) |
0.573124 | − | 0.819469i | \(-0.305731\pi\) | |||||||
\(648\) | −0.437976 | + | 5.84135i | −0.0172053 | + | 0.229470i | ||||
\(649\) | 21.2929 | − | 41.5501i | 0.835819 | − | 1.63098i | ||||
\(650\) | 1.56858i | 0.0615249i | ||||||||
\(651\) | −21.9788 | − | 2.54693i | −0.861415 | − | 0.0998222i | ||||
\(652\) | 2.59573 | − | 1.88591i | 0.101657 | − | 0.0738579i | ||||
\(653\) | −8.79860 | − | 19.7620i | −0.344316 | − | 0.773346i | −0.999835 | − | 0.0181675i | \(-0.994217\pi\) |
0.655519 | − | 0.755179i | \(-0.272450\pi\) | |||||||
\(654\) | −2.56309 | + | 2.10744i | −0.100225 | + | 0.0824076i | ||||
\(655\) | 8.37459 | + | 7.54052i | 0.327222 | + | 0.294632i | ||||
\(656\) | −30.1429 | + | 13.4205i | −1.17688 | + | 0.523982i | ||||
\(657\) | −5.24024 | − | 15.3439i | −0.204441 | − | 0.598622i | ||||
\(658\) | −0.310294 | + | 0.582644i | −0.0120965 | + | 0.0227138i | ||||
\(659\) | −13.0694 | −0.509113 | −0.254557 | − | 0.967058i | \(-0.581930\pi\) | ||||
−0.254557 | + | 0.967058i | \(0.581930\pi\) | |||||||
\(660\) | 4.80798 | + | 14.5426i | 0.187150 | + | 0.566071i | ||||
\(661\) | 0.301430 | + | 0.522093i | 0.0117243 | + | 0.0203071i | 0.871828 | − | 0.489812i | \(-0.162935\pi\) |
−0.860104 | + | 0.510119i | \(0.829601\pi\) | |||||||
\(662\) | 5.27235 | − | 1.12067i | 0.204916 | − | 0.0435562i | ||||
\(663\) | 0.228615 | − | 5.08941i | 0.00887867 | − | 0.197656i | ||||
\(664\) | −6.53585 | − | 4.74857i | −0.253640 | − | 0.184280i | ||||
\(665\) | 8.52105 | − | 1.19178i | 0.330432 | − | 0.0462154i | ||||
\(666\) | 0.0249907 | + | 1.67254i | 0.000968369 | + | 0.0648097i | ||||
\(667\) | −10.9304 | − | 24.5501i | −0.423227 | − | 0.950584i | ||||
\(668\) | −26.0074 | − | 11.5792i | −1.00626 | − | 0.448015i | ||||
\(669\) | 1.95053 | + | 32.5622i | 0.0754118 | + | 1.25893i | ||||
\(670\) | 0.598031 | + | 0.345274i | 0.0231040 | + | 0.0133391i | ||||
\(671\) | −19.7645 | − | 12.9008i | −0.763000 | − | 0.498029i | ||||
\(672\) | 1.74729 | + | 8.67342i | 0.0674030 | + | 0.334584i | ||||
\(673\) | 12.2164 | + | 3.96934i | 0.470907 | + | 0.153007i | 0.534851 | − | 0.844947i | \(-0.320368\pi\) |
−0.0639439 | + | 0.997953i | \(0.520368\pi\) | |||||||
\(674\) | 4.63882 | − | 0.487560i | 0.178681 | − | 0.0187801i | ||||
\(675\) | −14.0297 | − | 8.67034i | −0.540005 | − | 0.333722i | ||||
\(676\) | −5.14772 | + | 5.71712i | −0.197989 | + | 0.219889i | ||||
\(677\) | −39.5609 | − | 8.40894i | −1.52045 | − | 0.323182i | −0.629398 | − | 0.777083i | \(-0.716699\pi\) |
−0.891052 | + | 0.453901i | \(0.850032\pi\) | |||||||
\(678\) | −3.40744 | − | 3.35691i | −0.130862 | − | 0.128921i | ||||
\(679\) | −34.9488 | − | 2.46719i | −1.34121 | − | 0.0946820i | ||||
\(680\) | 0.815530 | + | 0.264982i | 0.0312741 | + | 0.0101616i | ||||
\(681\) | −18.5837 | − | 14.8203i | −0.712130 | − | 0.567916i | ||||
\(682\) | −2.20335 | + | 1.42359i | −0.0843708 | + | 0.0545120i | ||||
\(683\) | 4.46231 | − | 2.57632i | 0.170746 | − | 0.0985801i | −0.412192 | − | 0.911097i | \(-0.635237\pi\) |
0.582937 | + | 0.812517i | \(0.301903\pi\) | |||||||
\(684\) | −12.9262 | + | 5.98808i | −0.494245 | + | 0.228960i | ||||
\(685\) | 12.3491 | − | 8.97213i | 0.471834 | − | 0.342807i | ||||
\(686\) | −0.323139 | + | 3.01662i | −0.0123375 | + | 0.115175i | ||||
\(687\) | 29.6865 | − | 4.92948i | 1.13261 | − | 0.188071i | ||||
\(688\) | 7.88310 | − | 37.0871i | 0.300540 | − | 1.41393i | ||||
\(689\) | −1.94554 | + | 18.5106i | −0.0741193 | + | 0.705198i | ||||
\(690\) | 0.645108 | − | 1.00981i | 0.0245588 | − | 0.0384430i | ||||
\(691\) | −15.0091 | − | 16.6693i | −0.570973 | − | 0.634130i | 0.386625 | − | 0.922237i | \(-0.373641\pi\) |
−0.957598 | + | 0.288107i | \(0.906974\pi\) | |||||||
\(692\) | 14.7753 | 0.561673 | ||||||||
\(693\) | −7.99686 | − | 25.0809i | −0.303775 | − | 0.952744i | ||||
\(694\) | 3.35910 | 0.127510 | ||||||||
\(695\) | −8.70682 | − | 9.66990i | −0.330268 | − | 0.366800i | ||||
\(696\) | 5.21847 | − | 8.16869i | 0.197806 | − | 0.309634i | ||||
\(697\) | 0.875768 | − | 8.33237i | 0.0331721 | − | 0.315611i | ||||
\(698\) | −0.655630 | + | 3.08449i | −0.0248159 | + | 0.116750i | ||||
\(699\) | 34.5397 | − | 5.73537i | 1.30641 | − | 0.216932i | ||||
\(700\) | −15.9250 | − | 4.57788i | −0.601910 | − | 0.173028i | ||||
\(701\) | 20.3692 | − | 14.7991i | 0.769333 | − | 0.558953i | −0.132426 | − | 0.991193i | \(-0.542277\pi\) |
0.901759 | + | 0.432240i | \(0.142277\pi\) | |||||||
\(702\) | −0.720042 | − | 2.46490i | −0.0271762 | − | 0.0930315i | ||||
\(703\) | −7.09392 | + | 4.09567i | −0.267552 | + | 0.154471i | ||||
\(704\) | −18.9427 | − | 15.4127i | −0.713928 | − | 0.580886i | ||||
\(705\) | −2.78702 | − | 2.22262i | −0.104965 | − | 0.0837086i | ||||
\(706\) | 3.14083 | + | 1.02052i | 0.118207 | + | 0.0384077i | ||||
\(707\) | 2.78776 | + | 5.72541i | 0.104845 | + | 0.215326i | ||||
\(708\) | 34.2721 | + | 33.7638i | 1.28802 | + | 1.26892i | ||||
\(709\) | −5.79537 | − | 1.23184i | −0.217650 | − | 0.0462629i | 0.0977961 | − | 0.995206i | \(-0.468821\pi\) |
−0.315446 | + | 0.948944i | \(0.602154\pi\) | |||||||
\(710\) | 1.31414 | − | 1.45950i | 0.0493187 | − | 0.0547739i | ||||
\(711\) | −7.38031 | − | 3.15466i | −0.276783 | − | 0.118309i | ||||
\(712\) | 7.27044 | − | 0.764154i | 0.272471 | − | 0.0286379i | ||||
\(713\) | −14.3515 | − | 4.66308i | −0.537467 | − | 0.174634i | ||||
\(714\) | −0.693641 | − | 0.233571i | −0.0259589 | − | 0.00874119i | ||||
\(715\) | −8.48421 | − | 10.5272i | −0.317291 | − | 0.393694i | ||||
\(716\) | −0.835100 | − | 0.482145i | −0.0312091 | − | 0.0180186i | ||||
\(717\) | −0.0967089 | − | 1.61446i | −0.00361166 | − | 0.0602931i | ||||
\(718\) | −0.792634 | − | 0.352903i | −0.0295808 | − | 0.0131702i | ||||
\(719\) | −2.69315 | − | 6.04892i | −0.100438 | − | 0.225587i | 0.856337 | − | 0.516418i | \(-0.172735\pi\) |
−0.956774 | + | 0.290831i | \(0.906068\pi\) | |||||||
\(720\) | −15.5639 | + | 0.232552i | −0.580034 | + | 0.00866671i | ||||
\(721\) | −15.4137 | − | 19.7557i | −0.574036 | − | 0.735739i | ||||
\(722\) | −1.75048 | − | 1.27180i | −0.0651460 | − | 0.0473313i | ||||
\(723\) | −1.98676 | + | 44.2291i | −0.0738883 | + | 1.64490i | ||||
\(724\) | 33.0569 | − | 7.02646i | 1.22855 | − | 0.261136i | ||||
\(725\) | 13.6459 | + | 23.6354i | 0.506796 | + | 0.877797i | ||||
\(726\) | −2.62232 | − | 1.69249i | −0.0973236 | − | 0.0628144i | ||||
\(727\) | 0.0198007 | 0.000734366 | 0.000367183 | − | 1.00000i | \(-0.499883\pi\) | ||||
0.000367183 | 1.00000i | \(0.499883\pi\) | ||||||||
\(728\) | −2.74999 | − | 4.40742i | −0.101922 | − | 0.163350i | ||||
\(729\) | 26.0266 | + | 7.18450i | 0.963947 | + | 0.266093i | ||||
\(730\) | −1.09295 | + | 0.486612i | −0.0404518 | + | 0.0180103i | ||||
\(731\) | 7.15469 | + | 6.44211i | 0.264626 | + | 0.238270i | ||||
\(732\) | 18.7861 | − | 15.4464i | 0.694353 | − | 0.570917i | ||||
\(733\) | 16.3430 | + | 36.7069i | 0.603642 | + | 1.35580i | 0.914206 | + | 0.405249i | \(0.132815\pi\) |
−0.310564 | + | 0.950552i | \(0.600518\pi\) | |||||||
\(734\) | 0.279677 | − | 0.203197i | 0.0103231 | − | 0.00750014i | ||||
\(735\) | −15.6968 | − | 4.69376i | −0.578983 | − | 0.173132i | ||||
\(736\) | 6.03420i | 0.222423i | ||||||||
\(737\) | 10.2228 | − | 1.59473i | 0.376561 | − | 0.0587426i | ||||
\(738\) | −0.939644 | − | 4.11722i | −0.0345888 | − | 0.151557i | ||||
\(739\) | 7.87970 | + | 37.0711i | 0.289860 | + | 1.36368i | 0.846261 | + | 0.532768i | \(0.178848\pi\) |
−0.556402 | + | 0.830914i | \(0.687818\pi\) | |||||||
\(740\) | −9.02566 | + | 0.948635i | −0.331790 | + | 0.0348725i | ||||
\(741\) | 8.82524 | − | 8.95809i | 0.324203 | − | 0.329084i | ||||
\(742\) | 2.47861 | + | 1.00334i | 0.0909927 | + | 0.0368338i | ||||
\(743\) | 11.4046 | + | 35.0999i | 0.418396 | + | 1.28769i | 0.909178 | + | 0.416407i | \(0.136711\pi\) |
−0.490782 | + | 0.871282i | \(0.663289\pi\) | |||||||
\(744\) | −1.44799 | − | 5.24687i | −0.0530858 | − | 0.192359i | ||||
\(745\) | 6.38485 | − | 14.3406i | 0.233923 | − | 0.525399i | ||||
\(746\) | 0.288158 | + | 1.35568i | 0.0105502 | + | 0.0496348i | ||||
\(747\) | −27.2973 | + | 25.3273i | −0.998758 | + | 0.926676i | ||||
\(748\) | 5.96205 | − | 2.27270i | 0.217994 | − | 0.0830981i | ||||
\(749\) | 17.7325 | − | 6.44075i | 0.647930 | − | 0.235340i | ||||
\(750\) | −1.40190 | + | 2.80294i | −0.0511900 | + | 0.102349i | ||||
\(751\) | −2.92318 | − | 27.8122i | −0.106668 | − | 1.01488i | −0.908657 | − | 0.417543i | \(-0.862891\pi\) |
0.801989 | − | 0.597339i | \(-0.203775\pi\) | |||||||
\(752\) | 5.81613 | + | 0.611300i | 0.212092 | + | 0.0222918i | ||||
\(753\) | 15.2501 | − | 12.5391i | 0.555746 | − | 0.456950i | ||||
\(754\) | −0.883488 | + | 4.15648i | −0.0321747 | + | 0.151370i | ||||
\(755\) | 5.62284 | + | 4.08523i | 0.204636 | + | 0.148677i | ||||
\(756\) | 27.1263 | − | 0.116464i | 0.986573 | − | 0.00423576i | ||||
\(757\) | −15.8523 | + | 48.7884i | −0.576162 | + | 1.77324i | 0.0560274 | + | 0.998429i | \(0.482157\pi\) |
−0.632189 | + | 0.774814i | \(0.717843\pi\) | |||||||
\(758\) | 1.38953 | − | 2.40674i | 0.0504701 | − | 0.0874168i | ||||
\(759\) | −1.96845 | − | 17.8456i | −0.0714504 | − | 0.647754i | ||||
\(760\) | 1.05830 | + | 1.83303i | 0.0383886 | + | 0.0664909i | ||||
\(761\) | 8.00066 | + | 8.88563i | 0.290024 | + | 0.322104i | 0.870495 | − | 0.492176i | \(-0.163798\pi\) |
−0.580472 | + | 0.814280i | \(0.697132\pi\) | |||||||
\(762\) | 1.77532 | − | 0.921340i | 0.0643131 | − | 0.0333766i | ||||
\(763\) | 21.4792 | + | 22.2719i | 0.777599 | + | 0.806298i | ||||
\(764\) | 25.5658 | − | 8.30683i | 0.924938 | − | 0.300531i | ||||
\(765\) | 1.92487 | − | 3.45207i | 0.0695938 | − | 0.124810i | ||||
\(766\) | 5.12114 | + | 0.538254i | 0.185034 | + | 0.0194479i | ||||
\(767\) | −38.7962 | − | 17.2732i | −1.40085 | − | 0.623698i | ||||
\(768\) | 20.0873 | − | 13.2592i | 0.724838 | − | 0.478452i | ||||
\(769\) | − | 30.4338i | − | 1.09747i | −0.835996 | − | 0.548735i | \(-0.815110\pi\) | ||
0.835996 | − | 0.548735i | \(-0.184890\pi\) | |||||||
\(770\) | −1.79028 | + | 0.753611i | −0.0645171 | + | 0.0271582i | ||||
\(771\) | −33.2643 | − | 5.01411i | −1.19798 | − | 0.180579i | ||||
\(772\) | −9.89171 | + | 8.90654i | −0.356010 | + | 0.320553i | ||||
\(773\) | 9.51434 | − | 21.3695i | 0.342207 | − | 0.768609i | −0.657676 | − | 0.753301i | \(-0.728460\pi\) |
0.999883 | − | 0.0153082i | \(-0.00487295\pi\) | |||||||
\(774\) | 4.46225 | + | 1.90736i | 0.160392 | + | 0.0685586i | ||||
\(775\) | 14.9901 | + | 3.18624i | 0.538459 | + | 0.114453i | ||||
\(776\) | −2.66338 | − | 8.19704i | −0.0956098 | − | 0.294257i | ||||
\(777\) | 15.5288 | − | 1.46516i | 0.557093 | − | 0.0525623i | ||||
\(778\) | 2.43304 | + | 3.34880i | 0.0872288 | + | 0.120060i | ||||
\(779\) | 15.3685 | − | 13.8379i | 0.550635 | − | 0.495794i | ||||
\(780\) | 12.9692 | − | 5.08988i | 0.464370 | − | 0.182247i | ||||
\(781\) | 1.60847 | − | 29.3817i | 0.0575555 | − | 1.05136i | ||||
\(782\) | −0.432294 | − | 0.249585i | −0.0154588 | − | 0.00892515i | ||||
\(783\) | −32.2930 | − | 30.8770i | −1.15406 | − | 1.10346i | ||||
\(784\) | 25.8466 | − | 7.37424i | 0.923092 | − | 0.263366i | ||||
\(785\) | −6.07648 | + | 8.36355i | −0.216879 | + | 0.298508i | ||||
\(786\) | 0.831449 | − | 2.21532i | 0.0296568 | − | 0.0790179i | ||||
\(787\) | −17.7694 | − | 15.9996i | −0.633411 | − | 0.570326i | 0.288619 | − | 0.957444i | \(-0.406804\pi\) |
−0.922030 | + | 0.387118i | \(0.873471\pi\) | |||||||
\(788\) | −2.85173 | + | 27.1324i | −0.101589 | + | 0.966553i | ||||
\(789\) | 46.5787 | + | 2.09230i | 1.65824 | + | 0.0744879i | ||||
\(790\) | −0.183010 | + | 0.563245i | −0.00651119 | + | 0.0200394i | ||||
\(791\) | −28.6927 | + | 34.1485i | −1.02019 | + | 1.21418i | ||||
\(792\) | 4.98099 | − | 4.13861i | 0.176992 | − | 0.147059i | ||||
\(793\) | −10.7343 | + | 18.5924i | −0.381186 | + | 0.660234i | ||||
\(794\) | 2.17716 | − | 0.462770i | 0.0772646 | − | 0.0164231i | ||||
\(795\) | −7.77391 | + | 12.1688i | −0.275712 | + | 0.431584i | ||||
\(796\) | −25.2705 | + | 11.2511i | −0.895688 | + | 0.398786i | ||||
\(797\) | −22.3127 | + | 7.24983i | −0.790355 | + | 0.256802i | −0.676255 | − | 0.736667i | \(-0.736398\pi\) |
−0.114100 | + | 0.993469i | \(0.536398\pi\) | |||||||
\(798\) | −0.886594 | − | 1.57409i | −0.0313851 | − | 0.0557224i | ||||
\(799\) | −0.872846 | + | 1.20137i | −0.0308791 | + | 0.0425014i | ||||
\(800\) | −0.640565 | − | 6.09457i | −0.0226474 | − | 0.215475i | ||||
\(801\) | 3.02114 | − | 33.5604i | 0.106747 | − | 1.18580i | ||||
\(802\) | −0.295695 | + | 0.170720i | −0.0104414 | + | 0.00602832i | ||||
\(803\) | −8.17510 | + | 15.9526i | −0.288493 | + | 0.562953i | ||||
\(804\) | −1.58911 | + | 10.5424i | −0.0560437 | + | 0.371802i | ||||
\(805\) | −9.86232 | − | 5.25229i | −0.347601 | − | 0.185119i | ||||
\(806\) | 1.40251 | + | 1.93039i | 0.0494014 | + | 0.0679953i | ||||
\(807\) | −4.84257 | + | 1.33641i | −0.170467 | + | 0.0470440i | ||||
\(808\) | −1.04823 | + | 1.16417i | −0.0368765 | + | 0.0409555i | ||||
\(809\) | 34.2974 | − | 38.0911i | 1.20583 | − | 1.33921i | 0.280594 | − | 0.959827i | \(-0.409469\pi\) |
0.925239 | − | 0.379386i | \(-0.123865\pi\) | |||||||
\(810\) | 0.355804 | − | 1.96021i | 0.0125017 | − | 0.0688748i | ||||
\(811\) | −28.9257 | − | 39.8128i | −1.01572 | − | 1.39802i | −0.915162 | − | 0.403087i | \(-0.867937\pi\) |
−0.100558 | − | 0.994931i | \(-0.532063\pi\) | |||||||
\(812\) | −39.6202 | − | 21.1002i | −1.39040 | − | 0.740473i | ||||
\(813\) | 15.8040 | + | 2.38222i | 0.554270 | + | 0.0835482i | ||||
\(814\) | 1.31067 | − | 1.30458i | 0.0459391 | − | 0.0457256i | ||||
\(815\) | −1.90291 | + | 1.09864i | −0.0666559 | + | 0.0384838i | ||||
\(816\) | 0.387720 | + | 6.47260i | 0.0135729 | + | 0.226586i | ||||
\(817\) | 2.48403 | + | 23.6340i | 0.0869052 | + | 0.826848i | ||||
\(818\) | 0.213646 | − | 0.294059i | 0.00746997 | − | 0.0102815i | ||||
\(819\) | −22.3819 | + | 8.51011i | −0.782086 | + | 0.297367i | ||||
\(820\) | 21.7909 | − | 7.08029i | 0.760971 | − | 0.247254i | ||||
\(821\) | 18.4564 | − | 8.21734i | 0.644134 | − | 0.286787i | −0.0585548 | − | 0.998284i | \(-0.518649\pi\) |
0.702689 | + | 0.711497i | \(0.251983\pi\) | |||||||
\(822\) | −2.70098 | − | 1.72549i | −0.0942075 | − | 0.0601833i | ||||
\(823\) | 16.9607 | − | 3.60512i | 0.591214 | − | 0.125667i | 0.0974173 | − | 0.995244i | \(-0.468942\pi\) |
0.493797 | + | 0.869577i | \(0.335609\pi\) | |||||||
\(824\) | 3.08207 | − | 5.33831i | 0.107369 | − | 0.185969i | ||||
\(825\) | 3.88256 | + | 17.8152i | 0.135173 | + | 0.620245i | ||||
\(826\) | −3.92485 | + | 4.67115i | −0.136563 | + | 0.162530i | ||||
\(827\) | −1.60322 | + | 4.93421i | −0.0557495 | + | 0.171579i | −0.975054 | − | 0.221968i | \(-0.928752\pi\) |
0.919305 | + | 0.393547i | \(0.128752\pi\) | |||||||
\(828\) | 18.1517 | + | 3.57569i | 0.630816 | + | 0.124264i | ||||
\(829\) | 4.44964 | − | 42.3355i | 0.154542 | − | 1.47037i | −0.592486 | − | 0.805581i | \(-0.701854\pi\) |
0.747029 | − | 0.664792i | \(-0.231480\pi\) | |||||||
\(830\) | 2.04188 | + | 1.83851i | 0.0708746 | + | 0.0638158i | ||||
\(831\) | −14.7459 | − | 5.53438i | −0.511529 | − | 0.191986i | ||||
\(832\) | −13.0566 | + | 17.9708i | −0.452655 | + | 0.623026i | ||||
\(833\) | −1.65989 | + | 6.61996i | −0.0575116 | + | 0.229368i | ||||
\(834\) | −1.22217 | + | 2.44360i | −0.0423203 | + | 0.0846151i | ||||
\(835\) | 16.8843 | + | 9.74814i | 0.584305 | + | 0.337348i | ||||
\(836\) | 14.6901 | + | 5.67829i | 0.508067 | + | 0.196388i | ||||
\(837\) | −25.0182 | + | 1.87413i | −0.864757 | + | 0.0647793i | ||||
\(838\) | 1.15622 | − | 1.04106i | 0.0399409 | − | 0.0359630i | ||||
\(839\) | −4.18902 | − | 5.76569i | −0.144621 | − | 0.199054i | 0.730561 | − | 0.682847i | \(-0.239259\pi\) |
−0.875182 | + | 0.483793i | \(0.839259\pi\) | |||||||
\(840\) | −0.378589 | − | 4.01256i | −0.0130626 | − | 0.138446i | ||||
\(841\) | 13.8855 | + | 42.7351i | 0.478810 | + | 1.47362i | ||||
\(842\) | −1.31551 | − | 0.279621i | −0.0453356 | − | 0.00963638i | ||||
\(843\) | 45.3737 | + | 11.7953i | 1.56275 | + | 0.406250i | ||||
\(844\) | −16.1401 | + | 36.2513i | −0.555566 | + | 1.24782i | ||||
\(845\) | 3.91528 | − | 3.52533i | 0.134690 | − | 0.121275i | ||||
\(846\) | −0.220639 | + | 0.715245i | −0.00758573 | + | 0.0245906i | ||||
\(847\) | −13.7997 | + | 25.6236i | −0.474165 | + | 0.880436i | ||||
\(848\) | − | 23.6896i | − | 0.813504i | ||||||
\(849\) | 3.05375 | + | 4.62633i | 0.104804 | + | 0.158775i | ||||
\(850\) | 0.463114 | + | 0.206192i | 0.0158847 | + | 0.00707232i | ||||
\(851\) | 10.5796 | + | 1.11196i | 0.362663 | + | 0.0381174i | ||||
\(852\) | 28.3882 | + | 10.6546i | 0.972563 | + | 0.365020i | ||||
\(853\) | −20.1863 | + | 6.55893i | −0.691166 | + | 0.224574i | −0.633478 | − | 0.773761i | \(-0.718373\pi\) |
−0.0576888 | + | 0.998335i | \(0.518373\pi\) | |||||||
\(854\) | 2.14106 | + | 2.22008i | 0.0732656 | + | 0.0759697i | ||||
\(855\) | 9.23243 | − | 3.15306i | 0.315743 | − | 0.107832i | ||||
\(856\) | 3.10548 | + | 3.44898i | 0.106143 | + | 0.117884i | ||||
\(857\) | 9.60331 | + | 16.6334i | 0.328043 | + | 0.568187i | 0.982123 | − | 0.188238i | \(-0.0602776\pi\) |
−0.654081 | + | 0.756425i | \(0.726944\pi\) | |||||||
\(858\) | −1.40681 | + | 2.46585i | −0.0480277 | + | 0.0841829i | ||||
\(859\) | −6.66076 | + | 11.5368i | −0.227262 | + | 0.393630i | −0.956996 | − | 0.290102i | \(-0.906311\pi\) |
0.729733 | + | 0.683732i | \(0.239644\pi\) | |||||||
\(860\) | −8.13605 | + | 25.0402i | −0.277437 | + | 0.853864i | ||||
\(861\) | −37.5793 | + | 11.7694i | −1.28070 | + | 0.401100i | ||||
\(862\) | 1.29643 | + | 0.941909i | 0.0441565 | + | 0.0320815i | ||||
\(863\) | −0.772062 | + | 3.63227i | −0.0262813 | + | 0.123644i | −0.989333 | − | 0.145674i | \(-0.953465\pi\) |
0.963051 | + | 0.269318i | \(0.0867982\pi\) | |||||||
\(864\) | 3.80424 | + | 9.28305i | 0.129423 | + | 0.315816i | ||||
\(865\) | −10.0632 | − | 1.05768i | −0.342159 | − | 0.0359623i | ||||
\(866\) | 0.0632870 | + | 0.602135i | 0.00215058 | + | 0.0204614i | ||||
\(867\) | 24.8621 | + | 12.4348i | 0.844362 | + | 0.422309i | ||||
\(868\) | −23.6915 | + | 8.60520i | −0.804143 | + | 0.292079i | ||||
\(869\) | 3.16062 | + | 8.29138i | 0.107217 | + | 0.281266i | ||||
\(870\) | −2.05550 | + | 2.57747i | −0.0696880 | + | 0.0873843i | ||||
\(871\) | −1.95668 | − | 9.20546i | −0.0662996 | − | 0.311915i | ||||
\(872\) | −3.09598 | + | 6.95368i | −0.104843 | + | 0.235481i | ||||
\(873\) | −39.4428 | + | 4.74239i | −1.33494 | + | 0.160506i | ||||
\(874\) | −0.380747 | − | 1.17182i | −0.0128790 | − | 0.0396373i | ||||
\(875\) | 27.0883 | + | 10.9653i | 0.915752 | + | 0.370696i | ||||
\(876\) | −13.1583 | − | 12.9631i | −0.444577 | − | 0.437984i | ||||
\(877\) | 11.6903 | − | 1.22870i | 0.394752 | − | 0.0414902i | 0.0949270 | − | 0.995484i | \(-0.469738\pi\) |
0.299825 | + | 0.953994i | \(0.403072\pi\) | |||||||
\(878\) | 0.360743 | + | 1.69716i | 0.0121745 | + | 0.0572764i | ||||
\(879\) | 10.3607 | − | 4.06618i | 0.349459 | − | 0.137149i | ||||
\(880\) | 12.1399 | + | 12.1966i | 0.409235 | + | 0.411146i | ||||
\(881\) | 32.2617i | 1.08693i | 0.839433 | + | 0.543463i | \(0.182887\pi\) | ||||
−0.839433 | + | 0.543463i | \(0.817113\pi\) | |||||||
\(882\) | 0.286658 | + | 3.42813i | 0.00965228 | + | 0.115431i | ||||
\(883\) | −29.4373 | + | 21.3874i | −0.990643 | + | 0.719745i | −0.960062 | − | 0.279788i | \(-0.909736\pi\) |
−0.0305816 | + | 0.999532i | \(0.509736\pi\) | |||||||
\(884\) | −2.36059 | − | 5.30198i | −0.0793954 | − | 0.178325i | ||||
\(885\) | −20.9251 | − | 25.4493i | −0.703391 | − | 0.855469i | ||||
\(886\) | −0.516305 | − | 0.464883i | −0.0173456 | − | 0.0156181i | ||||
\(887\) | 21.7258 | − | 9.67294i | 0.729480 | − | 0.324785i | −0.00817197 | − | 0.999967i | \(-0.502601\pi\) |
0.737652 | + | 0.675181i | \(0.235935\pi\) | |||||||
\(888\) | 1.76749 | + | 3.40576i | 0.0593131 | + | 0.114290i | ||||
\(889\) | −9.87300 | − | 15.8235i | −0.331130 | − | 0.530702i | ||||
\(890\) | −2.48632 | −0.0833418 | ||||||||
\(891\) | −14.2790 | − | 26.2128i | −0.478364 | − | 0.878162i | ||||
\(892\) | 18.5808 | + | 32.1828i | 0.622130 | + | 1.07756i | ||||
\(893\) | −3.58532 | + | 0.762084i | −0.119978 | + | 0.0255022i | ||||
\(894\) | −3.29278 | − | 0.147911i | −0.110127 | − | 0.00494688i | ||||
\(895\) | 0.534257 | + | 0.388160i | 0.0178582 | + | 0.0129748i | ||||
\(896\) | 8.24757 | + | 10.5709i | 0.275532 | + | 0.353148i | ||||
\(897\) | −16.1102 | + | 2.67513i | −0.537905 | + | 0.0893199i | ||||
\(898\) | −2.40019 | − | 5.39092i | −0.0800954 | − | 0.179897i | ||||
\(899\) | 37.9266 | + | 16.8860i | 1.26492 | + | 0.563179i | ||||
\(900\) | −18.7129 | − | 1.68456i | −0.623764 | − | 0.0561519i | ||||
\(901\) | 5.20939 | + | 3.00764i | 0.173550 | + | 0.100199i | ||||
\(902\) | −2.55192 | + | 3.90964i | −0.0849696 | + | 0.130177i | ||||
\(903\) | 14.4408 | − | 42.8851i | 0.480559 | − | 1.42713i | ||||
\(904\) | −10.4353 | − | 3.39064i | −0.347073 | − | 0.112771i | ||||
\(905\) | −23.0174 | + | 2.41923i | −0.765126 | + | 0.0804179i | ||||
\(906\) | 0.367169 | − | 1.41241i | 0.0121984 | − | 0.0469243i | ||||
\(907\) | −12.9929 | + | 14.4301i | −0.431423 | + | 0.479144i | −0.919181 | − | 0.393835i | \(-0.871148\pi\) |
0.487758 | + | 0.872979i | \(0.337815\pi\) | |||||||
\(908\) | −26.4869 | − | 5.62995i | −0.878997 | − | 0.186837i | ||||
\(909\) | 4.33101 | + | 5.77759i | 0.143650 | + | 0.191631i | ||||
\(910\) | 0.773474 | + | 1.58853i | 0.0256404 | + | 0.0526594i | ||||
\(911\) | 24.5027 | + | 7.96140i | 0.811809 | + | 0.263773i | 0.685364 | − | 0.728201i | \(-0.259643\pi\) |
0.126445 | + | 0.991974i | \(0.459643\pi\) | |||||||
\(912\) | −9.97921 | + | 12.5133i | −0.330445 | + | 0.414356i | ||||
\(913\) | 41.1058 | + | 2.25029i | 1.36040 | + | 0.0744738i | ||||
\(914\) | −2.92681 | + | 1.68979i | −0.0968101 | + | 0.0558934i | ||||
\(915\) | −13.9006 | + | 9.17550i | −0.459539 | + | 0.303333i | ||||
\(916\) | 27.7348 | − | 20.1505i | 0.916384 | − | 0.665792i | ||||
\(917\) | −21.2056 | − | 6.09584i | −0.700269 | − | 0.201303i | ||||
\(918\) | −0.822395 | − | 0.111425i | −0.0271431 | − | 0.00367758i | ||||
\(919\) | 1.12077 | − | 5.27280i | 0.0369707 | − | 0.173934i | −0.955788 | − | 0.294055i | \(-0.904995\pi\) |
0.992759 | + | 0.120122i | \(0.0383284\pi\) | |||||||
\(920\) | 0.287323 | − | 2.73370i | 0.00947277 | − | 0.0901274i | ||||
\(921\) | −20.6624 | − | 13.2000i | −0.680851 | − | 0.434953i | ||||
\(922\) | 1.59151 | + | 1.76755i | 0.0524137 | + | 0.0582113i | ||||
\(923\) | −26.7656 | −0.881001 | ||||||||
\(924\) | −20.9288 | − | 21.4792i | −0.688508 | − | 0.706613i | ||||
\(925\) | −10.8034 | −0.355215 | ||||||||
\(926\) | 0.434002 | + | 0.482008i | 0.0142622 | + | 0.0158398i | ||||
\(927\) | −21.3961 | − | 18.6940i | −0.702741 | − | 0.613991i | ||||
\(928\) | 1.73531 | − | 16.5104i | 0.0569643 | − | 0.541979i | ||||
\(929\) | 1.44308 | − | 6.78914i | 0.0473458 | − | 0.222745i | −0.948114 | − | 0.317932i | \(-0.897012\pi\) |
0.995459 | + | 0.0951873i | \(0.0303450\pi\) | |||||||
\(930\) | 0.303240 | + | 1.82618i | 0.00994363 | + | 0.0598828i | ||||
\(931\) | −13.9786 | + | 9.40168i | −0.458130 | + | 0.308128i | ||||
\(932\) | 32.2690 | − | 23.4448i | 1.05701 | − | 0.767960i | ||||
\(933\) | 19.8705 | + | 30.1032i | 0.650533 | + | 0.985535i | ||||
\(934\) | −0.633297 | + | 0.365634i | −0.0207221 | + | 0.0119639i | ||||
\(935\) | −4.22334 | + | 1.12110i | −0.138118 | + | 0.0366639i | ||||
\(936\) | −4.00651 | − | 4.31816i | −0.130957 | − | 0.141143i | ||||
\(937\) | −16.9324 | − | 5.50168i | −0.553158 | − | 0.179732i | 0.0190821 | − | 0.999818i | \(-0.493926\pi\) |
−0.572241 | + | 0.820086i | \(0.693926\pi\) | |||||||
\(938\) | −1.34870 | − | 0.0952104i | −0.0440365 | − | 0.00310873i | ||||
\(939\) | −38.9070 | + | 39.4927i | −1.26968 | + | 1.28879i | ||||
\(940\) | −3.97226 | − | 0.844329i | −0.129561 | − | 0.0275390i | ||||
\(941\) | −14.0772 | + | 15.6343i | −0.458902 | + | 0.509663i | −0.927538 | − | 0.373729i | \(-0.878079\pi\) |
0.468636 | + | 0.883392i | \(0.344746\pi\) | |||||||
\(942\) | 2.10086 | + | 0.546136i | 0.0684497 | + | 0.0177941i | ||||
\(943\) | −26.7099 | + | 2.80732i | −0.869793 | + | 0.0914189i | ||||
\(944\) | 51.4063 | + | 16.7029i | 1.67313 | + | 0.543634i | ||||
\(945\) | −18.4836 | − | 1.86250i | −0.601270 | − | 0.0605872i | ||||
\(946\) | −1.91096 | − | 5.01310i | −0.0621307 | − | 0.162990i | ||||
\(947\) | −41.0002 | − | 23.6715i | −1.33233 | − | 0.769219i | −0.346671 | − | 0.937987i | \(-0.612688\pi\) |
−0.985656 | + | 0.168767i | \(0.946021\pi\) | |||||||
\(948\) | −9.12721 | + | 0.546735i | −0.296438 | + | 0.0177571i | ||||
\(949\) | 14.8952 | + | 6.63179i | 0.483520 | + | 0.215277i | ||||
\(950\) | 0.508951 | + | 1.14312i | 0.0165126 | + | 0.0370878i | ||||
\(951\) | −3.23025 | − | 19.4533i | −0.104748 | − | 0.630817i | ||||
\(952\) | −1.66275 | + | 0.232558i | −0.0538901 | + | 0.00753726i | ||||
\(953\) | −0.940173 | − | 0.683076i | −0.0304552 | − | 0.0221270i | 0.572454 | − | 0.819937i | \(-0.305992\pi\) |
−0.602909 | + | 0.797810i | \(0.705992\pi\) | |||||||
\(954\) | 2.97485 | + | 0.586013i | 0.0963142 | + | 0.0189729i | ||||
\(955\) | −18.0070 | + | 3.82751i | −0.582694 | + | 0.123855i | ||||
\(956\) | −0.921251 | − | 1.59565i | −0.0297954 | − | 0.0516071i | ||||
\(957\) | 0.253931 | + | 49.3940i | 0.00820843 | + | 1.59668i | ||||
\(958\) | −4.86345 | −0.157131 | ||||||||
\(959\) | −14.0485 | + | 26.3790i | −0.453649 | + | 0.851823i | ||||
\(960\) | −15.2962 | + | 7.93831i | −0.493684 | + | 0.256208i | ||||
\(961\) | −7.02331 | + | 3.12698i | −0.226558 | + | 0.100870i | ||||
\(962\) | −1.25004 | − | 1.12554i | −0.0403030 | − | 0.0362890i | ||||
\(963\) | 18.3641 | − | 10.9716i | 0.591776 | − | 0.353554i | ||||
\(964\) | 20.5145 | + | 46.0764i | 0.660728 | + | 1.48402i | ||||
\(965\) | 7.37463 | − | 5.35798i | 0.237398 | − | 0.172480i | ||||
\(966\) | −0.270072 | + | 2.33058i | −0.00868941 | + | 0.0749853i | ||||
\(967\) | 28.2516i | 0.908512i | 0.890871 | + | 0.454256i | \(0.150095\pi\) | ||||
−0.890871 | + | 0.454256i | \(0.849905\pi\) | |||||||
\(968\) | −7.11668 | − | 0.781532i | −0.228739 | − | 0.0251194i | ||||
\(969\) | −1.48473 | − | 3.78314i | −0.0476965 | − | 0.121532i | ||||
\(970\) | 0.609454 | + | 2.86726i | 0.0195684 | + | 0.0920621i | ||||
\(971\) | 7.67023 | − | 0.806173i | 0.246149 | − | 0.0258713i | 0.0193497 | − | 0.999813i | \(-0.493840\pi\) |
0.226800 | + | 0.973941i | \(0.427174\pi\) | |||||||
\(972\) | 30.1790 | − | 5.94282i | 0.967993 | − | 0.190616i | ||||
\(973\) | 23.6156 | + | 9.55956i | 0.757080 | + | 0.306465i | ||||
\(974\) | −0.613692 | − | 1.88875i | −0.0196640 | − | 0.0605194i | ||||
\(975\) | 15.9874 | − | 4.41208i | 0.512008 | − | 0.141300i | ||||
\(976\) | 11.1139 | − | 24.9623i | 0.355749 | − | 0.799025i | ||||
\(977\) | 4.79126 | + | 22.5411i | 0.153286 | + | 0.721154i | 0.985905 | + | 0.167308i | \(0.0535073\pi\) |
−0.832619 | + | 0.553847i | \(0.813159\pi\) | |||||||
\(978\) | 0.360712 | + | 0.287664i | 0.0115343 | + | 0.00919847i | ||||
\(979\) | −29.0051 | + | 23.3762i | −0.927007 | + | 0.747107i | ||||
\(980\) | −18.3850 | + | 3.21658i | −0.587286 | + | 0.102750i | ||||
\(981\) | 28.6891 | + | 20.1959i | 0.915971 | + | 0.644806i | ||||
\(982\) | −0.604356 | − | 5.75007i | −0.0192858 | − | 0.183492i | ||||
\(983\) | 9.49921 | + | 0.998407i | 0.302978 | + | 0.0318442i | 0.254798 | − | 0.966994i | \(-0.417991\pi\) |
0.0481802 | + | 0.998839i | \(0.484658\pi\) | |||||||
\(984\) | −6.15252 | − | 7.48274i | −0.196135 | − | 0.238541i | ||||
\(985\) | 3.88453 | − | 18.2753i | 0.123771 | − | 0.582298i | ||||
\(986\) | 1.11104 | + | 0.807217i | 0.0353827 | + | 0.0257070i | ||||
\(987\) | 6.81125 | + | 1.52375i | 0.216804 | + | 0.0485014i | ||||
\(988\) | 4.42686 | − | 13.6245i | 0.140837 | − | 0.433452i | ||||
\(989\) | 15.4309 | − | 26.7270i | 0.490673 | − | 0.849870i | ||||
\(990\) | −1.83190 | + | 1.22277i | −0.0582217 | + | 0.0388622i | ||||
\(991\) | 9.51472 | + | 16.4800i | 0.302245 | + | 0.523504i | 0.976644 | − | 0.214863i | \(-0.0689305\pi\) |
−0.674399 | + | 0.738367i | \(0.735597\pi\) | |||||||
\(992\) | −6.23764 | − | 6.92760i | −0.198045 | − | 0.219951i | ||||
\(993\) | −26.2522 | − | 50.5850i | −0.833087 | − | 1.60527i | ||||
\(994\) | −1.06236 | + | 3.69564i | −0.0336961 | + | 0.117218i | ||||
\(995\) | 18.0167 | − | 5.85397i | 0.571167 | − | 0.185583i | ||||
\(996\) | −14.9060 | + | 39.7159i | −0.472316 | + | 1.25845i | ||||
\(997\) | −33.5278 | − | 3.52391i | −1.06183 | − | 0.111603i | −0.442530 | − | 0.896754i | \(-0.645919\pi\) |
−0.619305 | + | 0.785151i | \(0.712586\pi\) | |||||||
\(998\) | −1.51405 | − | 0.674099i | −0.0479264 | − | 0.0213382i | ||||
\(999\) | 16.9767 | − | 4.95921i | 0.537119 | − | 0.156902i |
(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 | 231.2.be.a.2.16 | yes | 224 | |
3.2 | odd | 2 | inner | 231.2.be.a.2.13 | ✓ | 224 | |
7.4 | even | 3 | inner | 231.2.be.a.200.13 | yes | 224 | |
11.6 | odd | 10 | inner | 231.2.be.a.149.16 | yes | 224 | |
21.11 | odd | 6 | inner | 231.2.be.a.200.16 | yes | 224 | |
33.17 | even | 10 | inner | 231.2.be.a.149.13 | yes | 224 | |
77.39 | odd | 30 | inner | 231.2.be.a.116.13 | yes | 224 | |
231.116 | even | 30 | inner | 231.2.be.a.116.16 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
231.2.be.a.2.13 | ✓ | 224 | 3.2 | odd | 2 | inner | |
231.2.be.a.2.16 | yes | 224 | 1.1 | even | 1 | trivial | |
231.2.be.a.116.13 | yes | 224 | 77.39 | odd | 30 | inner | |
231.2.be.a.116.16 | yes | 224 | 231.116 | even | 30 | inner | |
231.2.be.a.149.13 | yes | 224 | 33.17 | even | 10 | inner | |
231.2.be.a.149.16 | yes | 224 | 11.6 | odd | 10 | inner | |
231.2.be.a.200.13 | yes | 224 | 7.4 | even | 3 | inner | |
231.2.be.a.200.16 | yes | 224 | 21.11 | odd | 6 | inner |