Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [197,3,Mod(2,197)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(197, base_ring=CyclotomicField(196))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("197.2");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 197 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 197.i (of order \(196\), degree \(84\), 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: | \(5.36786120790\) |
Analytic rank: | \(0\) |
Dimension: | \(2688\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{196})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{196}]$ |
Embedding invariants
Embedding label | 2.20 | ||
Character | \(\chi\) | \(=\) | 197.2 |
Dual form | 197.3.i.a.99.20 |
$q$-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 \(\left(\mathbb{Z}/197\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{196}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.830612 | + | 0.0133146i | 0.415306 | + | 0.00665732i | 0.223331 | − | 0.974743i | \(-0.428307\pi\) |
0.191975 | + | 0.981400i | \(0.438511\pi\) | |||||||
\(3\) | 3.37180 | − | 0.826664i | 1.12393 | − | 0.275555i | 0.367755 | − | 0.929923i | \(-0.380126\pi\) |
0.756176 | + | 0.654368i | \(0.227065\pi\) | |||||||
\(4\) | −3.30821 | − | 0.106088i | −0.827051 | − | 0.0265219i | ||||
\(5\) | −0.509948 | − | 3.51044i | −0.101990 | − | 0.702089i | −0.976252 | − | 0.216636i | \(-0.930491\pi\) |
0.874263 | − | 0.485453i | \(-0.161345\pi\) | |||||||
\(6\) | 2.81166 | − | 0.641743i | 0.468610 | − | 0.106957i | ||||
\(7\) | 7.89308 | − | 8.15026i | 1.12758 | − | 1.16432i | 0.142942 | − | 0.989731i | \(-0.454344\pi\) |
0.984641 | − | 0.174591i | \(-0.0558604\pi\) | |||||||
\(8\) | −6.06546 | − | 0.291886i | −0.758182 | − | 0.0364858i | ||||
\(9\) | 2.70624 | − | 1.41184i | 0.300693 | − | 0.156871i | ||||
\(10\) | −0.376829 | − | 2.92261i | −0.0376829 | − | 0.292261i | ||||
\(11\) | 0.616659 | + | 0.309239i | 0.0560599 | + | 0.0281127i | 0.476078 | − | 0.879403i | \(-0.342058\pi\) |
−0.420018 | + | 0.907516i | \(0.637976\pi\) | |||||||
\(12\) | −11.2423 | + | 2.37707i | −0.936857 | + | 0.198089i | ||||
\(13\) | −5.69983 | − | 2.41465i | −0.438449 | − | 0.185742i | 0.159634 | − | 0.987176i | \(-0.448969\pi\) |
−0.598083 | + | 0.801434i | \(0.704071\pi\) | |||||||
\(14\) | 6.66461 | − | 6.66461i | 0.476044 | − | 0.476044i | ||||
\(15\) | −4.62140 | − | 11.4149i | −0.308093 | − | 0.760996i | ||||
\(16\) | 8.17826 | + | 0.525062i | 0.511141 | + | 0.0328164i | ||||
\(17\) | 3.98443 | − | 2.68546i | 0.234378 | − | 0.157969i | −0.436099 | − | 0.899899i | \(-0.643640\pi\) |
0.670477 | + | 0.741930i | \(0.266089\pi\) | |||||||
\(18\) | 2.26663 | − | 1.13666i | 0.125924 | − | 0.0631478i | ||||
\(19\) | 17.7502 | − | 14.1553i | 0.934222 | − | 0.745017i | −0.0328657 | − | 0.999460i | \(-0.510463\pi\) |
0.967088 | + | 0.254442i | \(0.0818919\pi\) | |||||||
\(20\) | 1.31460 | + | 11.6674i | 0.0657298 | + | 0.583369i | ||||
\(21\) | 19.8763 | − | 34.0059i | 0.946492 | − | 1.61933i | ||||
\(22\) | 0.508087 | + | 0.265069i | 0.0230949 | + | 0.0120486i | ||||
\(23\) | −8.17051 | + | 22.2019i | −0.355240 | + | 0.965301i | 0.627223 | + | 0.778840i | \(0.284192\pi\) |
−0.982462 | + | 0.186461i | \(0.940298\pi\) | |||||||
\(24\) | −20.6928 | + | 4.02992i | −0.862199 | + | 0.167913i | ||||
\(25\) | 11.9035 | − | 3.53290i | 0.476141 | − | 0.141316i | ||||
\(26\) | −4.70220 | − | 2.08153i | −0.180854 | − | 0.0800587i | ||||
\(27\) | −15.5059 | + | 13.6349i | −0.574291 | + | 0.504998i | ||||
\(28\) | −26.9766 | + | 26.1254i | −0.963449 | + | 0.933048i | ||||
\(29\) | 22.7218 | + | 14.7902i | 0.783510 | + | 0.510009i | 0.874022 | − | 0.485887i | \(-0.161503\pi\) |
−0.0905116 | + | 0.995895i | \(0.528850\pi\) | |||||||
\(30\) | −3.68661 | − | 9.54293i | −0.122887 | − | 0.318098i | ||||
\(31\) | −10.0984 | + | 12.2547i | −0.325754 | + | 0.395314i | −0.908874 | − | 0.417072i | \(-0.863056\pi\) |
0.583120 | + | 0.812386i | \(0.301832\pi\) | |||||||
\(32\) | 30.9979 | + | 2.48959i | 0.968685 | + | 0.0777997i | ||||
\(33\) | 2.33488 | + | 0.532922i | 0.0707540 | + | 0.0161491i | ||||
\(34\) | 3.34527 | − | 2.17753i | 0.0983903 | − | 0.0640450i | ||||
\(35\) | −32.6361 | − | 23.5520i | −0.932459 | − | 0.672915i | ||||
\(36\) | −9.10256 | + | 4.38356i | −0.252849 | + | 0.121766i | ||||
\(37\) | −14.9521 | + | 0.959954i | −0.404109 | + | 0.0259447i | −0.264798 | − | 0.964304i | \(-0.585305\pi\) |
−0.139312 | + | 0.990249i | \(0.544489\pi\) | |||||||
\(38\) | 14.9320 | − | 11.5213i | 0.392948 | − | 0.303191i | ||||
\(39\) | −21.2148 | − | 3.42984i | −0.543969 | − | 0.0879446i | ||||
\(40\) | 2.06842 | + | 21.4413i | 0.0517104 | + | 0.536033i | ||||
\(41\) | −1.57371 | + | 8.08065i | −0.0383831 | + | 0.197089i | −0.995791 | − | 0.0916483i | \(-0.970786\pi\) |
0.957408 | + | 0.288737i | \(0.0932354\pi\) | |||||||
\(42\) | 16.9623 | − | 27.9811i | 0.403864 | − | 0.666217i | ||||
\(43\) | 13.9945 | + | 42.1493i | 0.325455 | + | 0.980217i | 0.975439 | + | 0.220270i | \(0.0706937\pi\) |
−0.649984 | + | 0.759947i | \(0.725225\pi\) | |||||||
\(44\) | −2.00723 | − | 1.08845i | −0.0456188 | − | 0.0247374i | ||||
\(45\) | −6.33623 | − | 8.78013i | −0.140805 | − | 0.195114i | ||||
\(46\) | −7.08214 | + | 18.3324i | −0.153960 | + | 0.398530i | ||||
\(47\) | 16.2852 | + | 28.9160i | 0.346493 | + | 0.615233i | 0.988457 | − | 0.151502i | \(-0.0484109\pi\) |
−0.641964 | + | 0.766735i | \(0.721880\pi\) | |||||||
\(48\) | 28.0095 | − | 4.99028i | 0.583531 | − | 0.103964i | ||||
\(49\) | −2.55539 | − | 79.6864i | −0.0521508 | − | 1.62625i | ||||
\(50\) | 9.93425 | − | 2.77598i | 0.198685 | − | 0.0555196i | ||||
\(51\) | 11.2147 | − | 12.3486i | 0.219896 | − | 0.242130i | ||||
\(52\) | 18.6001 | + | 8.59282i | 0.357693 | + | 0.165247i | ||||
\(53\) | −9.35072 | − | 21.1234i | −0.176429 | − | 0.398556i | 0.804220 | − | 0.594332i | \(-0.202583\pi\) |
−0.980649 | + | 0.195776i | \(0.937277\pi\) | |||||||
\(54\) | −13.0609 | + | 11.1189i | −0.241868 | + | 0.205906i | ||||
\(55\) | 0.771104 | − | 2.32244i | 0.0140201 | − | 0.0422262i | ||||
\(56\) | −50.2541 | + | 47.1312i | −0.897395 | + | 0.841628i | ||||
\(57\) | 48.1484 | − | 62.4024i | 0.844709 | − | 1.09478i | ||||
\(58\) | 18.6761 | + | 12.5875i | 0.322001 | + | 0.217026i | ||||
\(59\) | −50.3468 | − | 6.49151i | −0.853336 | − | 0.110026i | −0.311229 | − | 0.950335i | \(-0.600741\pi\) |
−0.542107 | + | 0.840309i | \(0.682373\pi\) | |||||||
\(60\) | 14.0776 | + | 38.2533i | 0.234626 | + | 0.637554i | ||||
\(61\) | 15.8774 | + | 26.1915i | 0.260286 | + | 0.429369i | 0.957899 | − | 0.287106i | \(-0.0926933\pi\) |
−0.697613 | + | 0.716475i | \(0.745754\pi\) | |||||||
\(62\) | −8.55100 | + | 10.0445i | −0.137919 | + | 0.162008i | ||||
\(63\) | 9.85368 | − | 33.2003i | 0.156408 | − | 0.526989i | ||||
\(64\) | −6.91481 | − | 0.667063i | −0.108044 | − | 0.0104229i | ||||
\(65\) | −5.56986 | + | 21.2403i | −0.0856902 | + | 0.326774i | ||||
\(66\) | 1.93229 | + | 0.473740i | 0.0292771 | + | 0.00717787i | ||||
\(67\) | −94.4718 | − | 26.3988i | −1.41003 | − | 0.394012i | −0.521663 | − | 0.853151i | \(-0.674688\pi\) |
−0.888364 | + | 0.459140i | \(0.848158\pi\) | |||||||
\(68\) | −13.4662 | + | 8.46137i | −0.198032 | + | 0.124432i | ||||
\(69\) | −9.19576 | + | 81.6146i | −0.133272 | + | 1.18282i | ||||
\(70\) | −26.7943 | − | 19.9971i | −0.382776 | − | 0.285673i | ||||
\(71\) | 85.9483 | + | 27.0153i | 1.21054 | + | 0.380497i | 0.837044 | − | 0.547136i | \(-0.184282\pi\) |
0.373495 | + | 0.927632i | \(0.378159\pi\) | |||||||
\(72\) | −16.8267 | + | 7.77356i | −0.233704 | + | 0.107966i | ||||
\(73\) | 42.7139 | + | 37.5601i | 0.585122 | + | 0.514522i | 0.900737 | − | 0.434365i | \(-0.143027\pi\) |
−0.315615 | + | 0.948887i | \(0.602211\pi\) | |||||||
\(74\) | −12.4321 | + | 0.598268i | −0.168002 | + | 0.00808470i | ||||
\(75\) | 37.2157 | − | 21.7524i | 0.496210 | − | 0.290033i | ||||
\(76\) | −60.2231 | + | 44.9457i | −0.792409 | + | 0.591390i | ||||
\(77\) | 7.38772 | − | 2.58507i | 0.0959444 | − | 0.0335724i | ||||
\(78\) | −17.5756 | − | 3.13133i | −0.225328 | − | 0.0401453i | ||||
\(79\) | −12.4479 | + | 85.6903i | −0.157568 | + | 1.08469i | 0.748982 | + | 0.662590i | \(0.230543\pi\) |
−0.906550 | + | 0.422097i | \(0.861294\pi\) | |||||||
\(80\) | −2.32729 | − | 28.9771i | −0.0290911 | − | 0.362214i | ||||
\(81\) | −56.7279 | + | 81.3237i | −0.700344 | + | 1.00400i | ||||
\(82\) | −1.41473 | + | 6.69093i | −0.0172528 | + | 0.0815967i | ||||
\(83\) | 3.08215 | + | 2.45793i | 0.0371343 | + | 0.0296136i | 0.641881 | − | 0.766804i | \(-0.278154\pi\) |
−0.604747 | + | 0.796418i | \(0.706726\pi\) | |||||||
\(84\) | −69.3626 | + | 110.390i | −0.825745 | + | 1.31417i | ||||
\(85\) | −11.4590 | − | 12.6177i | −0.134812 | − | 0.148443i | ||||
\(86\) | 11.0628 | + | 35.1961i | 0.128638 | + | 0.409257i | ||||
\(87\) | 88.8398 | + | 31.0864i | 1.02115 | + | 0.357315i | ||||
\(88\) | −3.65005 | − | 2.05567i | −0.0414779 | − | 0.0233599i | ||||
\(89\) | −52.7504 | − | 64.0146i | −0.592701 | − | 0.719265i | 0.386470 | − | 0.922302i | \(-0.373694\pi\) |
−0.979171 | + | 0.203037i | \(0.934919\pi\) | |||||||
\(90\) | −5.14605 | − | 7.37725i | −0.0571783 | − | 0.0819694i | ||||
\(91\) | −64.6692 | + | 27.3961i | −0.710651 | + | 0.301056i | ||||
\(92\) | 29.3851 | − | 72.5817i | 0.319403 | − | 0.788932i | ||||
\(93\) | −23.9191 | + | 49.6685i | −0.257194 | + | 0.534070i | ||||
\(94\) | 13.1417 | + | 24.2348i | 0.139805 | + | 0.257817i | ||||
\(95\) | −58.7432 | − | 55.0927i | −0.618349 | − | 0.579923i | ||||
\(96\) | 106.577 | − | 17.2305i | 1.11017 | − | 0.179484i | ||||
\(97\) | −15.1377 | − | 57.7266i | −0.156059 | − | 0.595120i | −0.998419 | − | 0.0562054i | \(-0.982100\pi\) |
0.842360 | − | 0.538915i | \(-0.181165\pi\) | |||||||
\(98\) | −1.06154 | − | 66.2226i | −0.0108321 | − | 0.675741i | ||||
\(99\) | 2.10542 | − | 0.0337497i | 0.0212669 | − | 0.000340906i | ||||
\(100\) | −39.7541 | + | 10.4247i | −0.397541 | + | 0.104247i | ||||
\(101\) | 23.2154 | + | 143.595i | 0.229855 | + | 1.42174i | 0.799906 | + | 0.600126i | \(0.204883\pi\) |
−0.570050 | + | 0.821610i | \(0.693076\pi\) | |||||||
\(102\) | 9.47948 | − | 10.1076i | 0.0929361 | − | 0.0990941i | ||||
\(103\) | 43.3815 | − | 23.5242i | 0.421179 | − | 0.228391i | −0.252219 | − | 0.967670i | \(-0.581160\pi\) |
0.673399 | + | 0.739280i | \(0.264834\pi\) | |||||||
\(104\) | 33.8673 | + | 16.3096i | 0.325647 | + | 0.156823i | ||||
\(105\) | −129.512 | − | 52.4335i | −1.23345 | − | 0.499367i | ||||
\(106\) | −7.48557 | − | 17.6699i | −0.0706186 | − | 0.166697i | ||||
\(107\) | 157.812 | − | 110.083i | 1.47488 | − | 1.02881i | 0.487029 | − | 0.873386i | \(-0.338081\pi\) |
0.987848 | − | 0.155425i | \(-0.0496746\pi\) | |||||||
\(108\) | 52.7430 | − | 43.4622i | 0.488361 | − | 0.402428i | ||||
\(109\) | 101.398 | − | 180.042i | 0.930252 | − | 1.65176i | 0.187420 | − | 0.982280i | \(-0.439987\pi\) |
0.742832 | − | 0.669478i | \(-0.233482\pi\) | |||||||
\(110\) | 0.671411 | − | 1.91878i | 0.00610373 | − | 0.0174435i | ||||
\(111\) | −49.6217 | + | 15.5971i | −0.447042 | + | 0.140514i | ||||
\(112\) | 68.8311 | − | 62.5106i | 0.614563 | − | 0.558130i | ||||
\(113\) | 59.6963 | + | 37.5097i | 0.528286 | + | 0.331944i | 0.769624 | − | 0.638497i | \(-0.220444\pi\) |
−0.241338 | + | 0.970441i | \(0.577586\pi\) | |||||||
\(114\) | 40.8235 | − | 51.1911i | 0.358101 | − | 0.449045i | ||||
\(115\) | 82.1051 | + | 17.3603i | 0.713958 | + | 0.150959i | ||||
\(116\) | −73.5993 | − | 51.3397i | −0.634477 | − | 0.442583i | ||||
\(117\) | −18.8342 | + | 1.51266i | −0.160976 | + | 0.0129287i | ||||
\(118\) | −41.7323 | − | 6.06228i | −0.353663 | − | 0.0513752i | ||||
\(119\) | 9.56218 | − | 53.6707i | 0.0803544 | − | 0.451014i | ||||
\(120\) | 24.6990 | + | 70.5858i | 0.205825 | + | 0.588215i | ||||
\(121\) | −72.0867 | − | 96.5897i | −0.595758 | − | 0.798262i | ||||
\(122\) | 12.8393 | + | 21.9664i | 0.105240 | + | 0.180052i | ||||
\(123\) | 1.37377 | + | 28.5472i | 0.0111689 | + | 0.232091i | ||||
\(124\) | 34.7076 | − | 39.4699i | 0.279900 | − | 0.318306i | ||||
\(125\) | −55.6645 | − | 120.491i | −0.445316 | − | 0.963932i | ||||
\(126\) | 8.62664 | − | 27.4454i | 0.0684654 | − | 0.217821i | ||||
\(127\) | −34.6906 | + | 46.4823i | −0.273155 | + | 0.366002i | −0.916817 | − | 0.399307i | \(-0.869251\pi\) |
0.643663 | + | 0.765309i | \(0.277414\pi\) | |||||||
\(128\) | −129.343 | − | 14.5735i | −1.01050 | − | 0.113856i | ||||
\(129\) | 82.0301 | + | 130.550i | 0.635892 | + | 1.01202i | ||||
\(130\) | −4.90920 | + | 17.5683i | −0.0377631 | + | 0.135141i | ||||
\(131\) | −35.9950 | + | 146.816i | −0.274771 | + | 1.12073i | 0.655892 | + | 0.754855i | \(0.272293\pi\) |
−0.930663 | + | 0.365879i | \(0.880768\pi\) | |||||||
\(132\) | −7.66774 | − | 2.01072i | −0.0580889 | − | 0.0152327i | ||||
\(133\) | 24.7344 | − | 256.398i | 0.185973 | − | 1.92780i | ||||
\(134\) | −78.1180 | − | 23.1850i | −0.582970 | − | 0.173022i | ||||
\(135\) | 55.7719 | + | 47.4793i | 0.413125 | + | 0.351699i | ||||
\(136\) | −24.9512 | + | 15.1256i | −0.183465 | + | 0.111217i | ||||
\(137\) | −66.6095 | + | 24.5129i | −0.486201 | + | 0.178926i | −0.576677 | − | 0.816972i | \(-0.695651\pi\) |
0.0904762 | + | 0.995899i | \(0.471161\pi\) | |||||||
\(138\) | −8.72478 | + | 67.6677i | −0.0632230 | + | 0.490345i | ||||
\(139\) | 115.459 | − | 171.306i | 0.830640 | − | 1.23242i | −0.139584 | − | 0.990210i | \(-0.544577\pi\) |
0.970224 | − | 0.242210i | \(-0.0778724\pi\) | |||||||
\(140\) | 105.468 | + | 81.3772i | 0.753345 | + | 0.581266i | ||||
\(141\) | 78.8140 | + | 84.0363i | 0.558965 | + | 0.596002i | ||||
\(142\) | 71.0300 | + | 23.5836i | 0.500211 | + | 0.166082i | ||||
\(143\) | −2.76815 | − | 3.25162i | −0.0193577 | − | 0.0227386i | ||||
\(144\) | 22.8736 | − | 10.1255i | 0.158845 | − | 0.0703158i | ||||
\(145\) | 40.3334 | − | 87.3058i | 0.278162 | − | 0.602109i | ||||
\(146\) | 34.9786 | + | 31.7666i | 0.239579 | + | 0.217580i | ||||
\(147\) | −74.4902 | − | 266.574i | −0.506736 | − | 1.81343i | ||||
\(148\) | 49.5663 | − | 1.58949i | 0.334907 | − | 0.0107398i | ||||
\(149\) | 16.3860 | + | 91.9713i | 0.109973 | + | 0.617257i | 0.989857 | + | 0.142068i | \(0.0453753\pi\) |
−0.879884 | + | 0.475189i | \(0.842380\pi\) | |||||||
\(150\) | 31.2015 | − | 17.5723i | 0.208010 | − | 0.117149i | ||||
\(151\) | −116.113 | − | 44.8566i | −0.768961 | − | 0.297064i | −0.0561527 | − | 0.998422i | \(-0.517883\pi\) |
−0.712809 | + | 0.701358i | \(0.752577\pi\) | |||||||
\(152\) | −111.795 | + | 80.6775i | −0.735493 | + | 0.530773i | ||||
\(153\) | 6.99135 | − | 12.8929i | 0.0456951 | − | 0.0842672i | ||||
\(154\) | 6.17075 | − | 2.04883i | 0.0400698 | − | 0.0133041i | ||||
\(155\) | 48.1693 | + | 29.2005i | 0.310769 | + | 0.188390i | ||||
\(156\) | 69.8190 | + | 13.5972i | 0.447557 | + | 0.0871618i | ||||
\(157\) | 209.347 | − | 20.1954i | 1.33342 | − | 0.128633i | 0.595409 | − | 0.803423i | \(-0.296990\pi\) |
0.738010 | + | 0.674789i | \(0.235766\pi\) | |||||||
\(158\) | −11.4803 | + | 71.0097i | −0.0726601 | + | 0.449428i | ||||
\(159\) | −48.9907 | − | 63.4940i | −0.308118 | − | 0.399333i | ||||
\(160\) | −7.06776 | − | 110.086i | −0.0441735 | − | 0.688038i | ||||
\(161\) | 116.461 | + | 241.833i | 0.723359 | + | 1.50207i | ||||
\(162\) | −48.2017 | + | 66.7931i | −0.297541 | + | 0.412303i | ||||
\(163\) | −156.248 | − | 240.039i | −0.958577 | − | 1.47263i | −0.879577 | − | 0.475757i | \(-0.842174\pi\) |
−0.0790001 | − | 0.996875i | \(-0.525173\pi\) | |||||||
\(164\) | 6.06340 | − | 26.5655i | 0.0369719 | − | 0.161985i | ||||
\(165\) | 0.680124 | − | 8.46824i | 0.00412196 | − | 0.0513227i | ||||
\(166\) | 2.52734 | + | 2.08263i | 0.0152250 | + | 0.0125459i | ||||
\(167\) | −87.8611 | + | 33.9423i | −0.526115 | + | 0.203248i | −0.608794 | − | 0.793329i | \(-0.708346\pi\) |
0.0826790 | + | 0.996576i | \(0.473652\pi\) | |||||||
\(168\) | −130.485 | + | 200.460i | −0.776696 | + | 1.19321i | ||||
\(169\) | −90.9128 | − | 93.8749i | −0.537945 | − | 0.555473i | ||||
\(170\) | −9.35001 | − | 10.6330i | −0.0550001 | − | 0.0625468i | ||||
\(171\) | 28.0512 | − | 63.3682i | 0.164042 | − | 0.370574i | ||||
\(172\) | −41.8253 | − | 140.923i | −0.243170 | − | 0.819322i | ||||
\(173\) | 40.2027 | + | 206.433i | 0.232386 | + | 1.19325i | 0.895613 | + | 0.444834i | \(0.146737\pi\) |
−0.663227 | + | 0.748418i | \(0.730814\pi\) | |||||||
\(174\) | 73.3775 | + | 27.0036i | 0.421710 | + | 0.155193i | ||||
\(175\) | 65.1614 | − | 124.902i | 0.372351 | − | 0.713727i | ||||
\(176\) | 4.88082 | + | 2.85282i | 0.0277320 | + | 0.0162092i | ||||
\(177\) | −175.126 | + | 19.7319i | −0.989410 | + | 0.111480i | ||||
\(178\) | −42.9628 | − | 53.8737i | −0.241364 | − | 0.302661i | ||||
\(179\) | −40.6222 | − | 81.0054i | −0.226940 | − | 0.452544i | 0.751317 | − | 0.659942i | \(-0.229419\pi\) |
−0.978257 | + | 0.207397i | \(0.933501\pi\) | |||||||
\(180\) | 20.0301 | + | 29.7187i | 0.111278 | + | 0.165104i | ||||
\(181\) | −15.1307 | + | 235.672i | −0.0835948 | + | 1.30206i | 0.714547 | + | 0.699587i | \(0.246633\pi\) |
−0.798142 | + | 0.602469i | \(0.794184\pi\) | |||||||
\(182\) | −54.0798 | + | 21.8945i | −0.297142 | + | 0.120299i | ||||
\(183\) | 75.1870 | + | 75.1870i | 0.410858 | + | 0.410858i | ||||
\(184\) | 56.0383 | − | 132.280i | 0.304556 | − | 0.718913i | ||||
\(185\) | 10.9946 | + | 51.9988i | 0.0594304 | + | 0.281075i | ||||
\(186\) | −20.5288 | + | 40.9368i | −0.110370 | + | 0.220090i | ||||
\(187\) | 3.28748 | − | 0.423874i | 0.0175801 | − | 0.00226670i | ||||
\(188\) | −50.8070 | − | 97.3876i | −0.270250 | − | 0.518019i | ||||
\(189\) | −11.2606 | + | 233.998i | −0.0595801 | + | 1.23809i | ||||
\(190\) | −48.0593 | − | 46.5428i | −0.252944 | − | 0.244962i | ||||
\(191\) | 14.3766 | + | 62.9880i | 0.0752702 | + | 0.329780i | 0.998518 | − | 0.0544252i | \(-0.0173326\pi\) |
−0.923248 | + | 0.384205i | \(0.874475\pi\) | |||||||
\(192\) | −23.8668 | + | 3.46702i | −0.124306 | + | 0.0180574i | ||||
\(193\) | 7.18709 | − | 224.120i | 0.0372388 | − | 1.16124i | −0.794923 | − | 0.606710i | \(-0.792489\pi\) |
0.832162 | − | 0.554533i | \(-0.187103\pi\) | |||||||
\(194\) | −11.8050 | − | 48.1500i | −0.0608503 | − | 0.248196i | ||||
\(195\) | −1.22184 | + | 76.2223i | −0.00626583 | + | 0.390884i | ||||
\(196\) | 263.890i | 1.34638i | ||||||||
\(197\) | −177.704 | − | 85.0313i | −0.902050 | − | 0.431631i | ||||
\(198\) | 1.74924 | 0.00883454 | ||||||||
\(199\) | −19.0722 | − | 0.305725i | −0.0958400 | − | 0.00153631i | −0.0319106 | − | 0.999491i | \(-0.510159\pi\) |
−0.0639295 | + | 0.997954i | \(0.520363\pi\) | |||||||
\(200\) | −73.2315 | + | 17.9542i | −0.366158 | + | 0.0897710i | ||||
\(201\) | −340.363 | − | 10.9148i | −1.69335 | − | 0.0543023i | ||||
\(202\) | 17.3711 | + | 119.581i | 0.0859953 | + | 0.591986i | ||||
\(203\) | 299.889 | − | 68.4478i | 1.47729 | − | 0.337181i | ||||
\(204\) | −38.4105 | + | 39.6620i | −0.188287 | + | 0.194422i | ||||
\(205\) | 29.1692 | + | 1.40370i | 0.142289 | + | 0.00684731i | ||||
\(206\) | 36.3464 | − | 18.9619i | 0.176439 | − | 0.0920481i | ||||
\(207\) | 9.23426 | + | 71.6191i | 0.0446100 | + | 0.345986i | ||||
\(208\) | −45.3469 | − | 22.7404i | −0.218014 | − | 0.109329i | ||||
\(209\) | 15.3232 | − | 3.23994i | 0.0733168 | − | 0.0155021i | ||||
\(210\) | −106.876 | − | 45.2763i | −0.508933 | − | 0.215602i | ||||
\(211\) | 67.4016 | − | 67.4016i | 0.319439 | − | 0.319439i | −0.529113 | − | 0.848551i | \(-0.677475\pi\) |
0.848551 | + | 0.529113i | \(0.177475\pi\) | |||||||
\(212\) | 28.6932 | + | 70.8727i | 0.135345 | + | 0.334305i | ||||
\(213\) | 312.132 | + | 20.0396i | 1.46541 | + | 0.0940825i | ||||
\(214\) | 132.546 | − | 89.3349i | 0.619375 | − | 0.417453i | ||||
\(215\) | 140.826 | − | 70.6210i | 0.655007 | − | 0.328470i | ||||
\(216\) | 98.0300 | − | 78.1763i | 0.453842 | − | 0.361927i | ||||
\(217\) | 20.1721 | + | 179.032i | 0.0929588 | + | 0.825032i | ||||
\(218\) | 86.6192 | − | 148.195i | 0.397336 | − | 0.679792i | ||||
\(219\) | 175.072 | + | 91.3350i | 0.799416 | + | 0.417055i | ||||
\(220\) | −2.79735 | + | 7.60131i | −0.0127152 | + | 0.0345514i | ||||
\(221\) | −29.1950 | + | 5.68573i | −0.132104 | + | 0.0257273i | ||||
\(222\) | −41.4241 | + | 12.2944i | −0.186595 | + | 0.0553804i | ||||
\(223\) | −66.4290 | − | 29.4062i | −0.297888 | − | 0.131866i | 0.250434 | − | 0.968134i | \(-0.419427\pi\) |
−0.548321 | + | 0.836268i | \(0.684733\pi\) | |||||||
\(224\) | 264.960 | − | 232.990i | 1.18286 | − | 1.04014i | ||||
\(225\) | 27.2258 | − | 26.3668i | 0.121004 | − | 0.117186i | ||||
\(226\) | 49.0851 | + | 31.9508i | 0.217191 | + | 0.141375i | ||||
\(227\) | 67.7242 | + | 175.307i | 0.298344 | + | 0.772276i | 0.998311 | + | 0.0581006i | \(0.0185044\pi\) |
−0.699966 | + | 0.714176i | \(0.746802\pi\) | |||||||
\(228\) | −165.905 | + | 201.332i | −0.727653 | + | 0.883034i | ||||
\(229\) | −332.758 | − | 26.7253i | −1.45309 | − | 0.116705i | −0.671736 | − | 0.740791i | \(-0.734451\pi\) |
−0.781355 | + | 0.624086i | \(0.785471\pi\) | |||||||
\(230\) | 67.9664 | + | 15.5129i | 0.295506 | + | 0.0674473i | ||||
\(231\) | 22.7729 | − | 14.8235i | 0.0985839 | − | 0.0641710i | ||||
\(232\) | −133.501 | − | 96.3418i | −0.575436 | − | 0.415267i | ||||
\(233\) | −102.065 | + | 49.1518i | −0.438046 | + | 0.210952i | −0.639891 | − | 0.768466i | \(-0.721021\pi\) |
0.201845 | + | 0.979417i | \(0.435306\pi\) | |||||||
\(234\) | −15.6641 | + | 1.00567i | −0.0669404 | + | 0.00429772i | ||||
\(235\) | 93.2033 | − | 71.9138i | 0.396610 | − | 0.306016i | ||||
\(236\) | 165.869 | + | 26.8164i | 0.702835 | + | 0.113629i | ||||
\(237\) | 28.8654 | + | 299.220i | 0.121795 | + | 1.26253i | ||||
\(238\) | 8.65707 | − | 44.4522i | 0.0363742 | − | 0.186774i | ||||
\(239\) | 43.8534 | − | 72.3408i | 0.183487 | − | 0.302681i | −0.749901 | − | 0.661550i | \(-0.769899\pi\) |
0.933388 | + | 0.358869i | \(0.116838\pi\) | |||||||
\(240\) | −31.8015 | − | 95.7809i | −0.132506 | − | 0.399087i | ||||
\(241\) | 130.973 | + | 71.0217i | 0.543455 | + | 0.294696i | 0.725072 | − | 0.688673i | \(-0.241807\pi\) |
−0.181617 | + | 0.983369i | \(0.558133\pi\) | |||||||
\(242\) | −58.5901 | − | 81.1884i | −0.242108 | − | 0.335489i | ||||
\(243\) | −57.0803 | + | 147.755i | −0.234898 | + | 0.608044i | ||||
\(244\) | −49.7472 | − | 88.3312i | −0.203882 | − | 0.362013i | ||||
\(245\) | −278.432 | + | 49.6065i | −1.13646 | + | 0.202475i | ||||
\(246\) | 0.760974 | + | 23.7300i | 0.00309339 | + | 0.0964633i | ||||
\(247\) | −135.353 | + | 37.8225i | −0.547990 | + | 0.153128i | ||||
\(248\) | 64.8282 | − | 71.3831i | 0.261404 | − | 0.287835i | ||||
\(249\) | 12.4243 | + | 5.73974i | 0.0498966 | + | 0.0230512i | ||||
\(250\) | −44.6313 | − | 100.823i | −0.178525 | − | 0.403291i | ||||
\(251\) | −276.307 | + | 235.224i | −1.10083 | + | 0.937147i | −0.998340 | − | 0.0575876i | \(-0.981659\pi\) |
−0.102486 | + | 0.994734i | \(0.532680\pi\) | |||||||
\(252\) | −36.1201 | + | 108.788i | −0.143334 | + | 0.431699i | ||||
\(253\) | −11.9041 | + | 11.1644i | −0.0470519 | + | 0.0441279i | ||||
\(254\) | −29.4334 | + | 38.1469i | −0.115879 | + | 0.150185i | ||||
\(255\) | −49.0681 | − | 33.0714i | −0.192424 | − | 0.129692i | ||||
\(256\) | −79.6807 | − | 10.2737i | −0.311253 | − | 0.0401316i | ||||
\(257\) | 108.795 | + | 295.630i | 0.423326 | + | 1.15031i | 0.953227 | + | 0.302254i | \(0.0977390\pi\) |
−0.529902 | + | 0.848059i | \(0.677771\pi\) | |||||||
\(258\) | 66.3970 | + | 109.529i | 0.257353 | + | 0.424530i | ||||
\(259\) | −110.194 | + | 129.440i | −0.425459 | + | 0.499768i | ||||
\(260\) | 20.6796 | − | 69.6764i | 0.0795368 | − | 0.267986i | ||||
\(261\) | 82.3720 | + | 7.94633i | 0.315602 | + | 0.0304457i | ||||
\(262\) | −31.8527 | + | 121.468i | −0.121575 | + | 0.463618i | ||||
\(263\) | 278.931 | + | 68.3856i | 1.06057 | + | 0.260021i | 0.729780 | − | 0.683682i | \(-0.239622\pi\) |
0.330794 | + | 0.943703i | \(0.392683\pi\) | |||||||
\(264\) | −14.0066 | − | 3.91394i | −0.0530553 | − | 0.0148255i | ||||
\(265\) | −69.3843 | + | 43.5970i | −0.261828 | + | 0.164517i | ||||
\(266\) | 23.9586 | − | 212.638i | 0.0900698 | − | 0.799391i | ||||
\(267\) | −230.782 | − | 172.237i | −0.864353 | − | 0.645083i | ||||
\(268\) | 309.732 | + | 97.3548i | 1.15571 | + | 0.363264i | ||||
\(269\) | −165.019 | + | 76.2352i | −0.613454 | + | 0.283402i | −0.701450 | − | 0.712718i | \(-0.747464\pi\) |
0.0879967 | + | 0.996121i | \(0.471954\pi\) | |||||||
\(270\) | 45.6927 | + | 40.1795i | 0.169232 | + | 0.148813i | ||||
\(271\) | −449.822 | + | 21.6466i | −1.65986 | + | 0.0798769i | −0.856676 | − | 0.515855i | \(-0.827474\pi\) |
−0.803183 | + | 0.595732i | \(0.796862\pi\) | |||||||
\(272\) | 33.9957 | − | 19.8704i | 0.124984 | − | 0.0730528i | ||||
\(273\) | −195.404 | + | 145.834i | −0.715766 | + | 0.534190i | ||||
\(274\) | −55.6531 | + | 19.4739i | −0.203113 | + | 0.0710725i | ||||
\(275\) | 8.43292 | + | 1.50244i | 0.0306652 | + | 0.00546342i | ||||
\(276\) | 39.0798 | − | 269.022i | 0.141593 | − | 0.974718i | ||||
\(277\) | 25.3868 | + | 316.091i | 0.0916490 | + | 1.14112i | 0.863168 | + | 0.504917i | \(0.168477\pi\) |
−0.771519 | + | 0.636207i | \(0.780503\pi\) | |||||||
\(278\) | 98.1825 | − | 140.752i | 0.353174 | − | 0.506302i | ||||
\(279\) | −10.0268 | + | 47.4215i | −0.0359384 | + | 0.169970i | ||||
\(280\) | 191.078 | + | 152.380i | 0.682423 | + | 0.544214i | ||||
\(281\) | −292.984 | + | 466.281i | −1.04265 | + | 1.65936i | −0.352292 | + | 0.935890i | \(0.614598\pi\) |
−0.690354 | + | 0.723472i | \(0.742545\pi\) | |||||||
\(282\) | 64.3450 | + | 70.8510i | 0.228174 | + | 0.251245i | ||||
\(283\) | −34.3775 | − | 109.371i | −0.121475 | − | 0.386469i | 0.873471 | − | 0.486875i | \(-0.161863\pi\) |
−0.994947 | + | 0.100406i | \(0.967986\pi\) | |||||||
\(284\) | −281.468 | − | 98.4901i | −0.991086 | − | 0.346796i | ||||
\(285\) | −243.613 | − | 137.200i | −0.854783 | − | 0.481405i | ||||
\(286\) | −2.25596 | − | 2.73770i | −0.00788799 | − | 0.00957236i | ||||
\(287\) | 53.4379 | + | 76.6073i | 0.186195 | + | 0.266924i | ||||
\(288\) | 87.4026 | − | 37.0268i | 0.303481 | − | 0.128565i | ||||
\(289\) | −99.7882 | + | 246.479i | −0.345288 | + | 0.852868i | ||||
\(290\) | 34.6639 | − | 71.9803i | 0.119531 | − | 0.248208i | ||||
\(291\) | −98.7618 | − | 182.129i | −0.339388 | − | 0.625871i | ||||
\(292\) | −137.322 | − | 128.788i | −0.470280 | − | 0.441055i | ||||
\(293\) | −299.216 | + | 48.3750i | −1.02122 | + | 0.165102i | −0.647200 | − | 0.762320i | \(-0.724060\pi\) |
−0.374016 | + | 0.927422i | \(0.622019\pi\) | |||||||
\(294\) | −58.3231 | − | 222.411i | −0.198378 | − | 0.756502i | ||||
\(295\) | 2.88619 | + | 180.050i | 0.00978368 | + | 0.610339i | ||||
\(296\) | 90.9713 | − | 1.45826i | 0.307335 | − | 0.00492656i | ||||
\(297\) | −13.7783 | + | 3.61309i | −0.0463915 | + | 0.0121653i | ||||
\(298\) | 12.3858 | + | 76.6107i | 0.0415632 | + | 0.257083i | ||||
\(299\) | 100.180 | − | 106.818i | 0.335051 | − | 0.357252i | ||||
\(300\) | −125.425 | + | 68.0134i | −0.418083 | + | 0.226711i | ||||
\(301\) | 453.988 | + | 218.629i | 1.50827 | + | 0.726342i | ||||
\(302\) | −95.8478 | − | 38.8045i | −0.317377 | − | 0.128492i | ||||
\(303\) | 196.983 | + | 464.983i | 0.650108 | + | 1.53460i | ||||
\(304\) | 152.598 | − | 106.446i | 0.501968 | − | 0.350151i | ||||
\(305\) | 83.8471 | − | 69.0931i | 0.274909 | − | 0.226535i | ||||
\(306\) | 5.97876 | − | 10.6159i | 0.0195384 | − | 0.0346925i | ||||
\(307\) | 81.1737 | − | 231.981i | 0.264409 | − | 0.755639i | −0.732763 | − | 0.680484i | \(-0.761769\pi\) |
0.997172 | − | 0.0751542i | \(-0.0239449\pi\) | |||||||
\(308\) | −24.7143 | + | 7.76821i | −0.0802413 | + | 0.0252215i | ||||
\(309\) | 126.827 | − | 115.181i | 0.410443 | − | 0.372753i | ||||
\(310\) | 39.6212 | + | 24.8956i | 0.127810 | + | 0.0803085i | ||||
\(311\) | 198.918 | − | 249.435i | 0.639608 | − | 0.802043i | −0.351346 | − | 0.936246i | \(-0.614276\pi\) |
0.990954 | + | 0.134203i | \(0.0428474\pi\) | |||||||
\(312\) | 127.676 | + | 26.9959i | 0.409219 | + | 0.0865252i | ||||
\(313\) | 364.959 | + | 254.580i | 1.16600 | + | 0.813354i | 0.985409 | − | 0.170204i | \(-0.0544426\pi\) |
0.180595 | + | 0.983558i | \(0.442198\pi\) | |||||||
\(314\) | 174.155 | − | 13.9872i | 0.554634 | − | 0.0445452i | ||||
\(315\) | −121.573 | − | 17.6604i | −0.385945 | − | 0.0560646i | ||||
\(316\) | 50.2708 | − | 282.161i | 0.159085 | − | 0.892913i | ||||
\(317\) | −55.5850 | − | 158.853i | −0.175347 | − | 0.501113i | 0.822347 | − | 0.568986i | \(-0.192664\pi\) |
−0.997694 | + | 0.0678735i | \(0.978379\pi\) | |||||||
\(318\) | −39.8469 | − | 53.3912i | −0.125305 | − | 0.167897i | ||||
\(319\) | 9.43786 | + | 16.1470i | 0.0295858 | + | 0.0506176i | ||||
\(320\) | 1.18450 | + | 24.6142i | 0.00370157 | + | 0.0769194i | ||||
\(321\) | 441.108 | − | 501.634i | 1.37417 | − | 1.56272i | ||||
\(322\) | 93.5139 | + | 202.420i | 0.290416 | + | 0.628635i | ||||
\(323\) | 32.7108 | − | 104.068i | 0.101272 | − | 0.322193i | ||||
\(324\) | 196.295 | − | 263.017i | 0.605848 | − | 0.811782i | ||||
\(325\) | −76.3788 | − | 8.60582i | −0.235012 | − | 0.0264795i | ||||
\(326\) | −126.586 | − | 201.460i | −0.388299 | − | 0.617975i | ||||
\(327\) | 193.058 | − | 690.885i | 0.590391 | − | 2.11280i | ||||
\(328\) | 11.9039 | − | 48.5535i | 0.0362923 | − | 0.148029i | ||||
\(329\) | 364.213 | + | 95.5078i | 1.10703 | + | 0.290297i | ||||
\(330\) | 0.677671 | − | 7.02477i | 0.00205355 | − | 0.0212872i | ||||
\(331\) | −400.515 | − | 118.871i | −1.21002 | − | 0.359126i | −0.384297 | − | 0.923209i | \(-0.625556\pi\) |
−0.825718 | + | 0.564083i | \(0.809230\pi\) | |||||||
\(332\) | −9.93562 | − | 8.45832i | −0.0299266 | − | 0.0254769i | ||||
\(333\) | −39.1085 | + | 23.7078i | −0.117443 | + | 0.0711946i | ||||
\(334\) | −73.4305 | + | 27.0231i | −0.219852 | + | 0.0809075i | ||||
\(335\) | −44.4957 | + | 345.100i | −0.132823 | + | 1.03015i | ||||
\(336\) | 180.409 | − | 267.673i | 0.536932 | − | 0.796646i | ||||
\(337\) | −380.268 | − | 293.407i | −1.12839 | − | 0.870644i | −0.135631 | − | 0.990759i | \(-0.543306\pi\) |
−0.992760 | + | 0.120115i | \(0.961674\pi\) | |||||||
\(338\) | −74.2634 | − | 79.1841i | −0.219714 | − | 0.234273i | ||||
\(339\) | 232.292 | + | 77.1261i | 0.685226 | + | 0.227511i | ||||
\(340\) | 36.5702 | + | 42.9575i | 0.107559 | + | 0.126346i | ||||
\(341\) | −10.0169 | + | 4.43418i | −0.0293751 | + | 0.0130035i | ||||
\(342\) | 24.1434 | − | 52.2609i | 0.0705948 | − | 0.152810i | ||||
\(343\) | −258.081 | − | 234.382i | −0.752423 | − | 0.683331i | ||||
\(344\) | −72.5805 | − | 259.740i | −0.210990 | − | 0.755058i | ||||
\(345\) | 291.193 | − | 9.33799i | 0.844037 | − | 0.0270666i | ||||
\(346\) | 30.6443 | + | 172.001i | 0.0885674 | + | 0.497112i | ||||
\(347\) | 25.3249 | − | 14.2627i | 0.0729825 | − | 0.0411030i | −0.453796 | − | 0.891106i | \(-0.649930\pi\) |
0.526778 | + | 0.850003i | \(0.323400\pi\) | |||||||
\(348\) | −290.602 | − | 112.265i | −0.835064 | − | 0.322601i | ||||
\(349\) | −251.771 | + | 181.692i | −0.721407 | + | 0.520607i | −0.884810 | − | 0.465952i | \(-0.845712\pi\) |
0.163403 | + | 0.986559i | \(0.447753\pi\) | |||||||
\(350\) | 55.7869 | − | 102.878i | 0.159391 | − | 0.293936i | ||||
\(351\) | 121.304 | − | 40.2758i | 0.345596 | − | 0.114746i | ||||
\(352\) | 18.3453 | + | 11.1210i | 0.0521172 | + | 0.0315938i | ||||
\(353\) | 107.796 | + | 20.9933i | 0.305372 | + | 0.0594712i | 0.341518 | − | 0.939875i | \(-0.389059\pi\) |
−0.0361456 | + | 0.999347i | \(0.511508\pi\) | |||||||
\(354\) | −145.724 | + | 14.0578i | −0.411650 | + | 0.0397114i | ||||
\(355\) | 51.0065 | − | 315.493i | 0.143680 | − | 0.888713i | ||||
\(356\) | 167.718 | + | 217.370i | 0.471118 | + | 0.610589i | ||||
\(357\) | −12.1259 | − | 188.871i | −0.0339662 | − | 0.529051i | ||||
\(358\) | −32.6628 | − | 67.8250i | −0.0912368 | − | 0.189455i | ||||
\(359\) | 365.420 | − | 506.362i | 1.01788 | − | 1.41048i | 0.108703 | − | 0.994074i | \(-0.465330\pi\) |
0.909179 | − | 0.416406i | \(-0.136711\pi\) | |||||||
\(360\) | 35.8694 | + | 55.1050i | 0.0996371 | + | 0.153069i | ||||
\(361\) | 34.3670 | − | 150.572i | 0.0951994 | − | 0.417096i | ||||
\(362\) | −15.7056 | + | 195.551i | −0.0433857 | + | 0.540196i | ||||
\(363\) | −322.909 | − | 266.089i | −0.889556 | − | 0.733028i | ||||
\(364\) | 216.845 | − | 83.7713i | 0.595729 | − | 0.230141i | ||||
\(365\) | 110.071 | − | 169.098i | 0.301564 | − | 0.463283i | ||||
\(366\) | 61.4502 | + | 63.4524i | 0.167897 | + | 0.173367i | ||||
\(367\) | 373.988 | + | 425.304i | 1.01904 | + | 1.15887i | 0.987218 | + | 0.159374i | \(0.0509477\pi\) |
0.0318232 | + | 0.999494i | \(0.489869\pi\) | |||||||
\(368\) | −78.4780 | + | 177.283i | −0.213255 | + | 0.481747i | ||||
\(369\) | 7.14978 | + | 24.0900i | 0.0193761 | + | 0.0652845i | ||||
\(370\) | 8.43993 | + | 43.3373i | 0.0228106 | + | 0.117128i | ||||
\(371\) | −245.967 | − | 90.5183i | −0.662985 | − | 0.243985i | ||||
\(372\) | 84.3984 | − | 161.776i | 0.226877 | − | 0.434882i | ||||
\(373\) | −44.8720 | − | 26.2275i | −0.120300 | − | 0.0703150i | 0.443244 | − | 0.896401i | \(-0.353828\pi\) |
−0.563544 | + | 0.826086i | \(0.690562\pi\) | |||||||
\(374\) | 2.73627 | − | 0.308303i | 0.00731622 | − | 0.000824340i | ||||
\(375\) | −287.295 | − | 360.257i | −0.766120 | − | 0.960685i | ||||
\(376\) | −90.3368 | − | 180.142i | −0.240257 | − | 0.479101i | ||||
\(377\) | −93.7972 | − | 139.167i | −0.248799 | − | 0.369143i | ||||
\(378\) | −12.4688 | + | 194.212i | −0.0329863 | + | 0.513789i | ||||
\(379\) | 339.346 | − | 137.386i | 0.895371 | − | 0.362496i | 0.119091 | − | 0.992883i | \(-0.462002\pi\) |
0.776281 | + | 0.630388i | \(0.217104\pi\) | |||||||
\(380\) | 188.490 | + | 188.490i | 0.496026 | + | 0.496026i | ||||
\(381\) | −78.5445 | + | 185.406i | −0.206154 | + | 0.486631i | ||||
\(382\) | 11.1027 | + | 52.5100i | 0.0290647 | + | 0.137461i | ||||
\(383\) | −218.656 | + | 436.026i | −0.570905 | + | 1.13845i | 0.403778 | + | 0.914857i | \(0.367697\pi\) |
−0.974683 | + | 0.223592i | \(0.928222\pi\) | |||||||
\(384\) | −448.167 | + | 57.7847i | −1.16710 | + | 0.150481i | ||||
\(385\) | −12.8421 | − | 24.6159i | −0.0333561 | − | 0.0639374i | ||||
\(386\) | 8.95376 | − | 186.061i | 0.0231963 | − | 0.482024i | ||||
\(387\) | 97.3807 | + | 94.3080i | 0.251630 | + | 0.243690i | ||||
\(388\) | 43.9546 | + | 192.577i | 0.113285 | + | 0.496334i | ||||
\(389\) | −548.782 | + | 79.7192i | −1.41075 | + | 0.204934i | −0.806204 | − | 0.591637i | \(-0.798482\pi\) |
−0.604545 | + | 0.796571i | \(0.706645\pi\) | |||||||
\(390\) | −2.02975 | + | 63.2949i | −0.00520448 | + | 0.162295i | ||||
\(391\) | 27.0677 | + | 110.404i | 0.0692268 | + | 0.282362i | ||||
\(392\) | −7.75977 | + | 484.081i | −0.0197953 | + | 1.23490i | ||||
\(393\) | 524.790i | 1.33534i | ||||||||
\(394\) | −146.471 | − | 72.9941i | −0.371754 | − | 0.185264i | ||||
\(395\) | 307.159 | 0.777617 | ||||||||
\(396\) | −6.96874 | − | 0.111708i | −0.0175978 | − | 0.000282092i | ||||
\(397\) | 217.207 | − | 53.2528i | 0.547121 | − | 0.134138i | 0.0450828 | − | 0.998983i | \(-0.485645\pi\) |
0.502038 | + | 0.864845i | \(0.332584\pi\) | |||||||
\(398\) | −15.8375 | − | 0.507878i | −0.0397927 | − | 0.00127608i | ||||
\(399\) | −128.556 | − | 884.969i | −0.322195 | − | 2.21797i | ||||
\(400\) | 99.2051 | − | 22.6429i | 0.248013 | − | 0.0566073i | ||||
\(401\) | 169.752 | − | 175.283i | 0.423322 | − | 0.437115i | −0.472633 | − | 0.881259i | \(-0.656696\pi\) |
0.895955 | + | 0.444144i | \(0.146492\pi\) | |||||||
\(402\) | −282.564 | − | 13.5977i | −0.702896 | − | 0.0338252i | ||||
\(403\) | 87.1499 | − | 45.4660i | 0.216253 | − | 0.112819i | ||||
\(404\) | −61.5675 | − | 477.506i | −0.152395 | − | 1.18194i | ||||
\(405\) | 314.411 | + | 157.669i | 0.776322 | + | 0.389307i | ||||
\(406\) | 250.003 | − | 52.8607i | 0.615771 | − | 0.130199i | ||||
\(407\) | −9.51716 | − | 4.03180i | −0.0233837 | − | 0.00990614i | ||||
\(408\) | −71.6266 | + | 71.6266i | −0.175556 | + | 0.175556i | ||||
\(409\) | −22.7119 | − | 56.0989i | −0.0555304 | − | 0.137161i | 0.896611 | − | 0.442819i | \(-0.146022\pi\) |
−0.952141 | + | 0.305658i | \(0.901124\pi\) | |||||||
\(410\) | 24.2096 | + | 1.55431i | 0.0590478 | + | 0.00379099i | ||||
\(411\) | −204.330 | + | 137.716i | −0.497153 | + | 0.335076i | ||||
\(412\) | −146.010 | + | 73.2207i | −0.354394 | + | 0.177720i | ||||
\(413\) | −450.299 | + | 359.102i | −1.09031 | + | 0.869495i | ||||
\(414\) | 6.71651 | + | 59.6107i | 0.0162235 | + | 0.143987i | ||||
\(415\) | 7.05669 | − | 12.0731i | 0.0170041 | − | 0.0290919i | ||||
\(416\) | −170.672 | − | 89.0392i | −0.410268 | − | 0.214037i | ||||
\(417\) | 247.691 | − | 673.056i | 0.593983 | − | 1.61404i | ||||
\(418\) | 12.7708 | − | 2.48711i | 0.0305521 | − | 0.00595003i | ||||
\(419\) | 633.769 | − | 188.099i | 1.51258 | − | 0.448925i | 0.581437 | − | 0.813591i | \(-0.302490\pi\) |
0.931138 | + | 0.364667i | \(0.118817\pi\) | |||||||
\(420\) | 422.889 | + | 187.200i | 1.00688 | + | 0.445715i | ||||
\(421\) | −131.649 | + | 115.764i | −0.312705 | + | 0.274974i | −0.802231 | − | 0.597014i | \(-0.796354\pi\) |
0.489526 | + | 0.871989i | \(0.337170\pi\) | |||||||
\(422\) | 56.8820 | − | 55.0871i | 0.134791 | − | 0.130538i | ||||
\(423\) | 84.8962 | + | 55.2613i | 0.200700 | + | 0.130641i | ||||
\(424\) | 50.5508 | + | 130.853i | 0.119224 | + | 0.308615i | ||||
\(425\) | 37.9412 | − | 46.0431i | 0.0892735 | − | 0.108337i | ||||
\(426\) | 258.994 | + | 20.8010i | 0.607968 | + | 0.0488288i | ||||
\(427\) | 338.789 | + | 77.3264i | 0.793417 | + | 0.181092i | ||||
\(428\) | −533.752 | + | 347.434i | −1.24708 | + | 0.811762i | ||||
\(429\) | −12.0216 | − | 8.67548i | −0.0280224 | − | 0.0202226i | ||||
\(430\) | 117.912 | − | 56.7837i | 0.274215 | − | 0.132055i | ||||
\(431\) | −158.184 | + | 10.1557i | −0.367015 | + | 0.0235632i | −0.246485 | − | 0.969147i | \(-0.579276\pi\) |
−0.120530 | + | 0.992710i | \(0.538459\pi\) | |||||||
\(432\) | −133.970 | + | 103.369i | −0.310116 | + | 0.239279i | ||||
\(433\) | −98.8441 | − | 15.9804i | −0.228277 | − | 0.0369061i | 0.0443908 | − | 0.999014i | \(-0.485865\pi\) |
−0.272668 | + | 0.962108i | \(0.587906\pi\) | |||||||
\(434\) | 14.3714 | + | 148.975i | 0.0331139 | + | 0.343260i | ||||
\(435\) | 63.8234 | − | 327.720i | 0.146720 | − | 0.753379i | ||||
\(436\) | −354.544 | + | 584.857i | −0.813174 | + | 1.34142i | ||||
\(437\) | 169.247 | + | 509.745i | 0.387293 | + | 1.16647i | ||||
\(438\) | 144.201 | + | 78.1950i | 0.329226 | + | 0.178527i | ||||
\(439\) | 49.5377 | + | 68.6445i | 0.112842 | + | 0.156366i | 0.863540 | − | 0.504280i | \(-0.168242\pi\) |
−0.750698 | + | 0.660645i | \(0.770283\pi\) | |||||||
\(440\) | −5.35499 | + | 13.8616i | −0.0121704 | + | 0.0315036i | ||||
\(441\) | −119.420 | − | 212.043i | −0.270794 | − | 0.480822i | ||||
\(442\) | −24.3254 | + | 4.33392i | −0.0550349 | + | 0.00980524i | ||||
\(443\) | 24.1621 | + | 753.462i | 0.0545419 | + | 1.70082i | 0.552416 | + | 0.833569i | \(0.313706\pi\) |
−0.497874 | + | 0.867249i | \(0.665886\pi\) | |||||||
\(444\) | 165.813 | − | 46.3341i | 0.373454 | − | 0.104356i | ||||
\(445\) | −197.820 | + | 217.822i | −0.444539 | + | 0.489487i | ||||
\(446\) | −54.7852 | − | 25.3096i | −0.122837 | − | 0.0567480i | ||||
\(447\) | 131.280 | + | 296.563i | 0.293690 | + | 0.663451i | ||||
\(448\) | −60.0159 | + | 51.0923i | −0.133964 | + | 0.114045i | ||||
\(449\) | −229.020 | + | 689.770i | −0.510066 | + | 1.53624i | 0.302373 | + | 0.953190i | \(0.402221\pi\) |
−0.812438 | + | 0.583047i | \(0.801860\pi\) | |||||||
\(450\) | 22.9652 | − | 21.5381i | 0.0510338 | − | 0.0478623i | ||||
\(451\) | −3.46929 | + | 4.49635i | −0.00769244 | + | 0.00996973i | ||||
\(452\) | −193.508 | − | 130.423i | −0.428116 | − | 0.288546i | ||||
\(453\) | −428.591 | − | 55.2607i | −0.946118 | − | 0.121988i | ||||
\(454\) | 53.9184 | + | 146.514i | 0.118763 | + | 0.322717i | ||||
\(455\) | 129.150 | + | 213.047i | 0.283847 | + | 0.468236i | ||||
\(456\) | −310.257 | + | 364.445i | −0.680387 | + | 0.799222i | ||||
\(457\) | 125.599 | − | 423.184i | 0.274833 | − | 0.926003i | −0.702032 | − | 0.712146i | \(-0.747724\pi\) |
0.976865 | − | 0.213858i | \(-0.0686029\pi\) | |||||||
\(458\) | −276.037 | − | 26.6290i | −0.602701 | − | 0.0581418i | ||||
\(459\) | −25.1657 | + | 95.9679i | −0.0548273 | + | 0.209080i | ||||
\(460\) | −269.779 | − | 66.1418i | −0.586476 | − | 0.143787i | ||||
\(461\) | −275.171 | − | 76.8924i | −0.596899 | − | 0.166795i | −0.0425717 | − | 0.999093i | \(-0.513555\pi\) |
−0.554327 | + | 0.832299i | \(0.687024\pi\) | |||||||
\(462\) | 19.1128 | − | 12.0094i | 0.0413697 | − | 0.0259943i | ||||
\(463\) | −70.3489 | + | 624.364i | −0.151941 | + | 1.34852i | 0.653988 | + | 0.756505i | \(0.273095\pi\) |
−0.805929 | + | 0.592012i | \(0.798334\pi\) | |||||||
\(464\) | 178.059 | + | 132.889i | 0.383748 | + | 0.286398i | ||||
\(465\) | 186.556 | + | 58.6383i | 0.401195 | + | 0.126104i | ||||
\(466\) | −85.4307 | + | 39.4671i | −0.183328 | + | 0.0846934i | ||||
\(467\) | −664.588 | − | 584.400i | −1.42310 | − | 1.25139i | −0.922656 | − | 0.385623i | \(-0.873986\pi\) |
−0.500444 | − | 0.865769i | \(-0.666830\pi\) | |||||||
\(468\) | 62.4679 | − | 3.00612i | 0.133478 | − | 0.00642334i | ||||
\(469\) | −960.831 | + | 561.602i | −2.04868 | + | 1.19745i | ||||
\(470\) | 78.3733 | − | 58.4915i | 0.166752 | − | 0.124450i | ||||
\(471\) | 689.180 | − | 241.154i | 1.46323 | − | 0.512005i | ||||
\(472\) | 303.482 | + | 54.0695i | 0.642970 | + | 0.114554i | ||||
\(473\) | −4.40438 | + | 30.3194i | −0.00931158 | + | 0.0641002i | ||||
\(474\) | 19.9920 | + | 248.920i | 0.0421772 | + | 0.525149i | ||||
\(475\) | 161.281 | − | 231.208i | 0.339538 | − | 0.486754i | ||||
\(476\) | −37.3274 | + | 176.539i | −0.0784190 | + | 0.370881i | ||||
\(477\) | −55.1282 | − | 43.9633i | −0.115573 | − | 0.0921662i | ||||
\(478\) | 37.3884 | − | 59.5032i | 0.0782183 | − | 0.124484i | ||||
\(479\) | −468.137 | − | 515.471i | −0.977322 | − | 1.07614i | −0.997082 | − | 0.0763355i | \(-0.975678\pi\) |
0.0197601 | − | 0.999805i | \(-0.493710\pi\) | |||||||
\(480\) | −114.835 | − | 365.345i | −0.239240 | − | 0.761135i | ||||
\(481\) | 87.5422 | + | 30.6323i | 0.182000 | + | 0.0636847i | ||||
\(482\) | 107.842 | + | 60.7354i | 0.223738 | + | 0.126007i | ||||
\(483\) | 592.597 | + | 719.139i | 1.22691 | + | 1.48890i | ||||
\(484\) | 228.231 | + | 327.186i | 0.471551 | + | 0.676004i | ||||
\(485\) | −194.927 | + | 82.5777i | −0.401911 | + | 0.170263i | ||||
\(486\) | −49.3789 | + | 121.967i | −0.101603 | + | 0.250961i | ||||
\(487\) | 118.184 | − | 245.411i | 0.242677 | − | 0.503923i | −0.743682 | − | 0.668534i | \(-0.766922\pi\) |
0.986359 | + | 0.164610i | \(0.0526366\pi\) | |||||||
\(488\) | −88.6590 | − | 163.498i | −0.181678 | − | 0.335036i | ||||
\(489\) | −725.268 | − | 680.198i | −1.48317 | − | 1.39100i | ||||
\(490\) | −231.929 | + | 37.4965i | −0.473325 | + | 0.0765236i | ||||
\(491\) | −212.502 | − | 810.363i | −0.432795 | − | 1.65043i | −0.721052 | − | 0.692881i | \(-0.756341\pi\) |
0.288258 | − | 0.957553i | \(-0.406924\pi\) | |||||||
\(492\) | −1.51620 | − | 94.5858i | −0.00308171 | − | 0.192248i | ||||
\(493\) | 130.252 | − | 2.08793i | 0.264203 | − | 0.00423515i | ||||
\(494\) | −112.930 | + | 29.6137i | −0.228603 | + | 0.0599467i | ||||
\(495\) | −1.19213 | − | 7.37375i | −0.00240835 | − | 0.0148965i | ||||
\(496\) | −89.0216 | + | 94.9203i | −0.179479 | + | 0.191371i | ||||
\(497\) | 898.578 | − | 487.267i | 1.80800 | − | 0.980416i | ||||
\(498\) | 10.2433 | + | 4.93292i | 0.0205689 | + | 0.00990546i | ||||
\(499\) | 459.302 | + | 185.951i | 0.920444 | + | 0.372647i | 0.785966 | − | 0.618270i | \(-0.212166\pi\) |
0.134478 | + | 0.990917i | \(0.457064\pi\) | |||||||
\(500\) | 171.367 | + | 404.516i | 0.342734 | + | 0.809032i | ||||
\(501\) | −268.191 | + | 187.078i | −0.535311 | + | 0.373410i | ||||
\(502\) | −232.636 | + | 191.701i | −0.463419 | + | 0.381874i | ||||
\(503\) | −52.7779 | + | 93.7125i | −0.104926 | + | 0.186307i | −0.918788 | − | 0.394751i | \(-0.870831\pi\) |
0.813862 | + | 0.581059i | \(0.197361\pi\) | |||||||
\(504\) | −69.4578 | + | 198.499i | −0.137813 | + | 0.393847i | ||||
\(505\) | 492.245 | − | 154.722i | 0.974742 | − | 0.306381i | ||||
\(506\) | −10.0364 | + | 9.11476i | −0.0198347 | + | 0.0180134i | ||||
\(507\) | −384.142 | − | 241.373i | −0.757677 | − | 0.476080i | ||||
\(508\) | 119.695 | − | 150.093i | 0.235620 | − | 0.295458i | ||||
\(509\) | −414.972 | − | 87.7417i | −0.815270 | − | 0.172381i | −0.219579 | − | 0.975595i | \(-0.570468\pi\) |
−0.595690 | + | 0.803214i | \(0.703122\pi\) | |||||||
\(510\) | −40.3162 | − | 28.1228i | −0.0790514 | − | 0.0551428i | ||||
\(511\) | 643.269 | − | 51.6639i | 1.25884 | − | 0.101104i | ||||
\(512\) | 449.193 | + | 65.2523i | 0.877329 | + | 0.127446i | ||||
\(513\) | −82.2251 | + | 461.514i | −0.160283 | + | 0.899637i | ||||
\(514\) | 86.4300 | + | 247.003i | 0.168152 | + | 0.480550i | ||||
\(515\) | −104.703 | − | 140.292i | −0.203306 | − | 0.272412i | ||||
\(516\) | −257.523 | − | 440.589i | −0.499075 | − | 0.853855i | ||||
\(517\) | 1.10044 | + | 22.8673i | 0.00212850 | + | 0.0442307i | ||||
\(518\) | −93.2519 | + | 106.047i | −0.180023 | + | 0.204725i | ||||
\(519\) | 306.206 | + | 662.814i | 0.589992 | + | 1.27710i | ||||
\(520\) | 39.9835 | − | 127.206i | 0.0768914 | − | 0.244628i | ||||
\(521\) | 361.958 | − | 484.991i | 0.694737 | − | 0.930884i | −0.305033 | − | 0.952342i | \(-0.598667\pi\) |
0.999770 | + | 0.0214577i | \(0.00683071\pi\) | |||||||
\(522\) | 68.3134 | + | 7.69708i | 0.130869 | + | 0.0147454i | ||||
\(523\) | −143.500 | − | 228.379i | −0.274379 | − | 0.436672i | 0.680901 | − | 0.732376i | \(-0.261589\pi\) |
−0.955280 | + | 0.295704i | \(0.904446\pi\) | |||||||
\(524\) | 134.654 | − | 481.879i | 0.256973 | − | 0.919617i | ||||
\(525\) | 116.459 | − | 475.011i | 0.221826 | − | 0.904784i | ||||
\(526\) | 230.773 | + | 60.5158i | 0.438732 | + | 0.115049i | ||||
\(527\) | −7.32651 | + | 75.9470i | −0.0139023 | + | 0.144112i | ||||
\(528\) | 18.8155 | + | 5.58433i | 0.0356354 | + | 0.0105764i | ||||
\(529\) | −23.3630 | − | 19.8892i | −0.0441645 | − | 0.0375978i | ||||
\(530\) | −58.2119 | + | 35.2884i | −0.109834 | + | 0.0665819i | ||||
\(531\) | −145.415 | + | 53.5142i | −0.273852 | + | 0.100780i | ||||
\(532\) | −109.027 | + | 845.593i | −0.204938 | + | 1.58946i | ||||
\(533\) | 28.4818 | − | 42.2584i | 0.0534367 | − | 0.0792841i | ||||
\(534\) | −189.397 | − | 146.135i | −0.354677 | − | 0.273661i | ||||
\(535\) | −466.915 | − | 497.853i | −0.872738 | − | 0.930567i | ||||
\(536\) | 565.310 | + | 187.696i | 1.05468 | + | 0.350179i | ||||
\(537\) | −203.934 | − | 239.553i | −0.379766 | − | 0.446094i | ||||
\(538\) | −138.082 | + | 61.1248i | −0.256658 | + | 0.113615i | ||||
\(539\) | 23.0664 | − | 49.9296i | 0.0427948 | − | 0.0926337i | ||||
\(540\) | −179.468 | − | 162.988i | −0.332348 | − | 0.301830i | ||||
\(541\) | −164.573 | − | 588.949i | −0.304202 | − | 1.08863i | −0.946640 | − | 0.322293i | \(-0.895547\pi\) |
0.642438 | − | 0.766337i | \(-0.277923\pi\) | |||||||
\(542\) | −373.916 | + | 11.9907i | −0.689881 | + | 0.0221232i | ||||
\(543\) | 143.804 | + | 807.147i | 0.264833 | + | 1.48646i | ||||
\(544\) | 130.195 | − | 73.3243i | 0.239328 | − | 0.134787i | ||||
\(545\) | −683.733 | − | 264.139i | −1.25456 | − | 0.484658i | ||||
\(546\) | −164.247 | + | 118.530i | −0.300818 | + | 0.217087i | ||||
\(547\) | 239.893 | − | 442.391i | 0.438561 | − | 0.808759i | −0.561261 | − | 0.827639i | \(-0.689683\pi\) |
0.999822 | + | 0.0188797i | \(0.00600996\pi\) | |||||||
\(548\) | 222.958 | − | 74.0273i | 0.406858 | − | 0.135086i | ||||
\(549\) | 79.9463 | + | 48.4639i | 0.145622 | + | 0.0882767i | ||||
\(550\) | 6.98448 | + | 1.36023i | 0.0126991 | + | 0.00247314i | ||||
\(551\) | 612.678 | − | 59.1043i | 1.11194 | − | 0.107267i | ||||
\(552\) | 79.5987 | − | 492.346i | 0.144200 | − | 0.891931i | ||||
\(553\) | 600.146 | + | 777.814i | 1.08525 | + | 1.40654i | ||||
\(554\) | 16.8779 | + | 262.887i | 0.0304656 | + | 0.474526i | ||||
\(555\) | 80.0572 | + | 166.241i | 0.144247 | + | 0.299532i | ||||
\(556\) | −400.135 | + | 554.468i | −0.719668 | + | 0.997245i | ||||
\(557\) | 519.293 | + | 797.774i | 0.932304 | + | 1.43227i | 0.901517 | + | 0.432744i | \(0.142454\pi\) |
0.0307872 | + | 0.999526i | \(0.490199\pi\) | |||||||
\(558\) | −8.95979 | + | 39.2554i | −0.0160570 | + | 0.0703502i | ||||
\(559\) | 22.0091 | − | 274.036i | 0.0393723 | − | 0.490226i | ||||
\(560\) | −254.540 | − | 209.751i | −0.454536 | − | 0.374555i | ||||
\(561\) | 10.7343 | − | 4.14686i | 0.0191342 | − | 0.00739191i | ||||
\(562\) | −249.564 | + | 383.398i | −0.444064 | + | 0.682202i | ||||
\(563\) | 586.538 | + | 605.649i | 1.04181 | + | 1.07575i | 0.997050 | + | 0.0767549i | \(0.0244559\pi\) |
0.0447584 | + | 0.998998i | \(0.485748\pi\) | |||||||
\(564\) | −251.818 | − | 286.371i | −0.446485 | − | 0.507749i | ||||
\(565\) | 101.234 | − | 228.689i | 0.179175 | − | 0.404758i | ||||
\(566\) | −27.0981 | − | 91.3025i | −0.0478765 | − | 0.161312i | ||||
\(567\) | 215.051 | + | 1104.24i | 0.379279 | + | 1.94752i | ||||
\(568\) | −513.430 | − | 188.947i | −0.903927 | − | 0.332653i | ||||
\(569\) | 379.973 | − | 728.338i | 0.667792 | − | 1.28003i | −0.279650 | − | 0.960102i | \(-0.590218\pi\) |
0.947441 | − | 0.319929i | \(-0.103659\pi\) | |||||||
\(570\) | −200.521 | − | 117.204i | −0.351792 | − | 0.205621i | ||||
\(571\) | 741.615 | − | 83.5599i | 1.29880 | − | 0.146340i | 0.564652 | − | 0.825329i | \(-0.309010\pi\) |
0.734148 | + | 0.678989i | \(0.237582\pi\) | |||||||
\(572\) | 8.81264 | + | 11.0507i | 0.0154067 | + | 0.0193194i | ||||
\(573\) | 100.545 | + | 200.498i | 0.175471 | + | 0.349909i | ||||
\(574\) | 43.3662 | + | 64.3425i | 0.0755509 | + | 0.112095i | ||||
\(575\) | −18.8206 | + | 293.147i | −0.0327315 | + | 0.509820i | ||||
\(576\) | −19.6549 | + | 7.95738i | −0.0341231 | + | 0.0138149i | ||||
\(577\) | −177.225 | − | 177.225i | −0.307149 | − | 0.307149i | 0.536653 | − | 0.843803i | \(-0.319688\pi\) |
−0.843803 | + | 0.536653i | \(0.819688\pi\) | |||||||
\(578\) | −86.1671 | + | 203.400i | −0.149078 | + | 0.351903i | ||||
\(579\) | −161.039 | − | 761.628i | −0.278132 | − | 1.31542i | ||||
\(580\) | −142.693 | + | 284.547i | −0.246023 | + | 0.490598i | ||||
\(581\) | 44.3604 | − | 5.71964i | 0.0763518 | − | 0.00984448i | ||||
\(582\) | −79.6078 | − | 152.593i | −0.136783 | − | 0.262188i | ||||
\(583\) | 0.765996 | − | 15.9176i | 0.00131389 | − | 0.0273028i | ||||
\(584\) | −248.116 | − | 240.287i | −0.424856 | − | 0.411450i | ||||
\(585\) | 14.9146 | + | 65.3450i | 0.0254950 | + | 0.111701i | ||||
\(586\) | −249.177 | + | 36.1969i | −0.425216 | + | 0.0617694i | ||||
\(587\) | 28.8632 | − | 900.062i | 0.0491708 | − | 1.53333i | −0.616664 | − | 0.787227i | \(-0.711516\pi\) |
0.665835 | − | 0.746099i | \(-0.268076\pi\) | |||||||
\(588\) | 218.149 | + | 889.784i | 0.371001 | + | 1.51324i | ||||
\(589\) | −5.77830 | + | 360.470i | −0.00981036 | + | 0.612004i | ||||
\(590\) | 149.590i | 0.253543i | ||||||||
\(591\) | −669.474 | − | 139.807i | −1.13278 | − | 0.236560i | ||||
\(592\) | −122.786 | −0.207408 | ||||||||
\(593\) | −756.664 | − | 12.1293i | −1.27599 | − | 0.0204541i | −0.625656 | − | 0.780099i | \(-0.715169\pi\) |
−0.650338 | + | 0.759645i | \(0.725373\pi\) | |||||||
\(594\) | −11.4925 | + | 2.81762i | −0.0193477 | + | 0.00474348i | ||||
\(595\) | −193.284 | − | 6.19825i | −0.324847 | − | 0.0104172i | ||||
\(596\) | −44.4511 | − | 305.998i | −0.0745824 | − | 0.513420i | ||||
\(597\) | −64.5602 | + | 14.7354i | −0.108141 | + | 0.0246825i | ||||
\(598\) | 84.6333 | − | 87.3908i | 0.141527 | − | 0.146138i | ||||
\(599\) | −239.805 | − | 11.5400i | −0.400342 | − | 0.0192655i | −0.153079 | − | 0.988214i | \(-0.548919\pi\) |
−0.247263 | + | 0.968948i | \(0.579531\pi\) | |||||||
\(600\) | −232.080 | + | 121.076i | −0.386799 | + | 0.201793i | ||||
\(601\) | 12.0976 | + | 93.8269i | 0.0201292 | + | 0.156118i | 0.998778 | − | 0.0494215i | \(-0.0157378\pi\) |
−0.978649 | + | 0.205539i | \(0.934105\pi\) | |||||||
\(602\) | 374.177 | + | 187.641i | 0.621557 | + | 0.311696i | ||||
\(603\) | −292.934 | + | 61.9380i | −0.485794 | + | 0.102716i | ||||
\(604\) | 379.367 | + | 160.713i | 0.628092 | + | 0.266081i | ||||
\(605\) | −302.312 | + | 302.312i | −0.499690 | + | 0.499690i | ||||
\(606\) | 157.425 | + | 388.843i | 0.259777 | + | 0.641655i | ||||
\(607\) | −446.723 | − | 28.6806i | −0.735953 | − | 0.0472498i | −0.308421 | − | 0.951250i | \(-0.599801\pi\) |
−0.427532 | + | 0.904000i | \(0.640617\pi\) | |||||||
\(608\) | 585.461 | − | 394.595i | 0.962929 | − | 0.649005i | ||||
\(609\) | 954.582 | − | 478.700i | 1.56746 | − | 0.786042i | ||||
\(610\) | 70.5644 | − | 56.2732i | 0.115679 | − | 0.0922512i | ||||
\(611\) | −23.0009 | − | 204.139i | −0.0376447 | − | 0.334106i | ||||
\(612\) | −24.4966 | + | 41.9106i | −0.0400271 | + | 0.0684814i | ||||
\(613\) | 162.352 | + | 84.6992i | 0.264849 | + | 0.138172i | 0.589774 | − | 0.807568i | \(-0.299217\pi\) |
−0.324925 | + | 0.945740i | \(0.605339\pi\) | |||||||
\(614\) | 70.5126 | − | 191.606i | 0.114841 | − | 0.312061i | ||||
\(615\) | 99.5129 | − | 19.3801i | 0.161810 | − | 0.0315124i | ||||
\(616\) | −45.5644 | + | 13.5233i | −0.0739682 | + | 0.0219534i | ||||
\(617\) | 371.587 | + | 164.491i | 0.602249 | + | 0.266598i | 0.683330 | − | 0.730110i | \(-0.260531\pi\) |
−0.0810812 | + | 0.996708i | \(0.525837\pi\) | |||||||
\(618\) | 106.878 | − | 93.9820i | 0.172941 | − | 0.152074i | ||||
\(619\) | −194.338 | + | 188.205i | −0.313954 | + | 0.304048i | −0.835846 | − | 0.548964i | \(-0.815022\pi\) |
0.521892 | + | 0.853012i | \(0.325226\pi\) | |||||||
\(620\) | −156.256 | − | 101.711i | −0.252026 | − | 0.164051i | ||||
\(621\) | −176.031 | − | 455.664i | −0.283464 | − | 0.733759i | ||||
\(622\) | 168.545 | − | 204.536i | 0.270973 | − | 0.328835i | ||||
\(623\) | −938.099 | − | 75.3431i | −1.50578 | − | 0.120936i | ||||
\(624\) | −171.699 | − | 39.1892i | −0.275159 | − | 0.0628032i | ||||
\(625\) | −134.435 | + | 87.5073i | −0.215096 | + | 0.140012i | ||||
\(626\) | 299.750 | + | 216.316i | 0.478834 | + | 0.345553i | ||||
\(627\) | 48.9884 | − | 23.5916i | 0.0781314 | − | 0.0376261i | ||||
\(628\) | −694.705 | + | 44.6015i | −1.10622 | + | 0.0710215i | ||||
\(629\) | −56.9974 | + | 43.9781i | −0.0906159 | + | 0.0699174i | ||||
\(630\) | −100.745 | − | 16.2876i | −0.159912 | − | 0.0258534i | ||||
\(631\) | −10.6416 | − | 110.311i | −0.0168646 | − | 0.174819i | 0.983101 | − | 0.183062i | \(-0.0586008\pi\) |
−0.999966 | + | 0.00824233i | \(0.997376\pi\) | |||||||
\(632\) | 100.514 | − | 516.118i | 0.159041 | − | 0.816642i | ||||
\(633\) | 171.546 | − | 282.983i | 0.271004 | − | 0.447050i | ||||
\(634\) | −44.0545 | − | 132.685i | −0.0694866 | − | 0.209283i | ||||
\(635\) | 180.864 | + | 98.0760i | 0.284825 | + | 0.154450i | ||||
\(636\) | 155.335 | + | 215.249i | 0.244238 | + | 0.338441i | ||||
\(637\) | −177.849 | + | 460.370i | −0.279198 | + | 0.722716i | ||||
\(638\) | 7.62421 | + | 13.5376i | 0.0119502 | + | 0.0212188i | ||||
\(639\) | 270.738 | − | 48.2357i | 0.423689 | − | 0.0754862i | ||||
\(640\) | 14.7989 | + | 461.485i | 0.0231233 | + | 0.721070i | ||||
\(641\) | 1020.16 | − | 285.068i | 1.59151 | − | 0.444724i | 0.644151 | − | 0.764899i | \(-0.277211\pi\) |
0.947359 | + | 0.320175i | \(0.103742\pi\) | |||||||
\(642\) | 373.069 | − | 410.790i | 0.581104 | − | 0.639860i | ||||
\(643\) | −893.018 | − | 412.555i | −1.38883 | − | 0.641610i | −0.424286 | − | 0.905528i | \(-0.639475\pi\) |
−0.964545 | + | 0.263918i | \(0.914985\pi\) | |||||||
\(644\) | −359.621 | − | 812.389i | −0.558417 | − | 1.26147i | ||||
\(645\) | 416.458 | − | 354.536i | 0.645671 | − | 0.549668i | ||||
\(646\) | 28.5556 | − | 86.0050i | 0.0442038 | − | 0.133135i | ||||
\(647\) | 162.186 | − | 152.107i | 0.250674 | − | 0.235096i | −0.548567 | − | 0.836106i | \(-0.684827\pi\) |
0.799242 | + | 0.601010i | \(0.205235\pi\) | |||||||
\(648\) | 367.818 | − | 476.707i | 0.567620 | − | 0.735660i | ||||
\(649\) | −29.0394 | − | 19.5723i | −0.0447448 | − | 0.0301576i | ||||
\(650\) | −63.3266 | − | 8.16506i | −0.0974255 | − | 0.0125616i | ||||
\(651\) | 216.015 | + | 586.984i | 0.331821 | + | 0.901665i | ||||
\(652\) | 491.435 | + | 810.674i | 0.753735 | + | 1.24337i | ||||
\(653\) | 387.193 | − | 454.819i | 0.592945 | − | 0.696507i | −0.380668 | − | 0.924712i | \(-0.624306\pi\) |
0.973613 | + | 0.228205i | \(0.0732856\pi\) | |||||||
\(654\) | 169.555 | − | 571.287i | 0.259258 | − | 0.873528i | ||||
\(655\) | 533.745 | + | 51.4898i | 0.814878 | + | 0.0786103i | ||||
\(656\) | −17.1130 | + | 65.2593i | −0.0260869 | + | 0.0994807i | ||||
\(657\) | 168.623 | + | 41.3413i | 0.256656 | + | 0.0629244i | ||||
\(658\) | 301.248 | + | 84.1793i | 0.457823 | + | 0.127932i | ||||
\(659\) | 861.148 | − | 541.095i | 1.30675 | − | 0.821085i | 0.314977 | − | 0.949099i | \(-0.398003\pi\) |
0.991772 | + | 0.128014i | \(0.0408603\pi\) | |||||||
\(660\) | −3.14837 | + | 27.9425i | −0.00477025 | + | 0.0423372i | ||||
\(661\) | −426.923 | − | 318.621i | −0.645874 | − | 0.482028i | 0.224464 | − | 0.974482i | \(-0.427937\pi\) |
−0.870339 | + | 0.492454i | \(0.836100\pi\) | |||||||
\(662\) | −331.090 | − | 104.068i | −0.500136 | − | 0.157203i | ||||
\(663\) | −93.7394 | + | 43.3056i | −0.141387 | + | 0.0653176i | ||||
\(664\) | −17.9772 | − | 15.8081i | −0.0270741 | − | 0.0238074i | ||||
\(665\) | −912.684 | + | 43.9208i | −1.37246 | + | 0.0660464i | ||||
\(666\) | −32.7997 | + | 19.1713i | −0.0492487 | + | 0.0287857i | ||||
\(667\) | −514.021 | + | 383.624i | −0.770646 | + | 0.575148i | ||||
\(668\) | 294.264 | − | 102.967i | 0.440514 | − | 0.154143i | ||||
\(669\) | −248.294 | − | 44.2370i | −0.371142 | − | 0.0661241i | ||||
\(670\) | −41.5536 | + | 286.052i | −0.0620203 | + | 0.426943i | ||||
\(671\) | 1.69152 | + | 21.0611i | 0.00252089 | + | 0.0313877i | ||||
\(672\) | 700.786 | − | 1004.63i | 1.04284 | − | 1.49498i | ||||
\(673\) | −31.8933 | + | 150.839i | −0.0473898 | + | 0.224129i | −0.995625 | − | 0.0934404i | \(-0.970214\pi\) |
0.948235 | + | 0.317569i | \(0.102867\pi\) | |||||||
\(674\) | −311.949 | − | 248.771i | −0.462832 | − | 0.369096i | ||||
\(675\) | −136.403 | + | 217.085i | −0.202079 | + | 0.321607i | ||||
\(676\) | 290.799 | + | 320.202i | 0.430176 | + | 0.473672i | ||||
\(677\) | −154.169 | − | 490.483i | −0.227723 | − | 0.724494i | −0.996394 | − | 0.0848495i | \(-0.972959\pi\) |
0.768671 | − | 0.639645i | \(-0.220919\pi\) | |||||||
\(678\) | 191.917 | + | 67.1548i | 0.283064 | + | 0.0990484i | ||||
\(679\) | −589.970 | − | 332.265i | −0.868881 | − | 0.489345i | ||||
\(680\) | 65.8213 | + | 79.8766i | 0.0967961 | + | 0.117466i | ||||
\(681\) | 373.272 | + | 535.113i | 0.548123 | + | 0.785776i | ||||
\(682\) | −8.37920 | + | 3.54972i | −0.0122862 | + | 0.00520486i | ||||
\(683\) | 225.997 | − | 558.216i | 0.330888 | − | 0.817300i | −0.666529 | − | 0.745479i | \(-0.732221\pi\) |
0.997418 | − | 0.0718212i | \(-0.0228811\pi\) | |||||||
\(684\) | −99.5218 | + | 206.659i | −0.145500 | + | 0.302133i | ||||
\(685\) | 120.019 | + | 221.329i | 0.175210 | + | 0.323108i | ||||
\(686\) | −211.245 | − | 198.117i | −0.307937 | − | 0.288801i | ||||
\(687\) | −1144.08 | + | 184.967i | −1.66533 | + | 0.269238i | ||||
\(688\) | 92.3200 | + | 352.056i | 0.134186 | + | 0.511710i | ||||
\(689\) | 2.29194 | + | 142.979i | 0.00332647 | + | 0.207516i | ||||
\(690\) | 241.993 | − | 3.87912i | 0.350714 | − | 0.00562192i | ||||
\(691\) | −714.220 | + | 187.291i | −1.03360 | + | 0.271043i | −0.731219 | − | 0.682143i | \(-0.761048\pi\) |
−0.302385 | + | 0.953186i | \(0.597783\pi\) | |||||||
\(692\) | −111.099 | − | 687.186i | −0.160548 | − | 0.993044i | ||||
\(693\) | 16.3432 | − | 17.4261i | 0.0235832 | − | 0.0251459i | ||||
\(694\) | 21.2251 | − | 11.5096i | 0.0305837 | − | 0.0165845i | ||||
\(695\) | −660.240 | − | 317.955i | −0.949985 | − | 0.457489i | ||||
\(696\) | −529.781 | − | 214.484i | −0.761179 | − | 0.308167i | ||||
\(697\) | 15.4300 | + | 36.4229i | 0.0221377 | + | 0.0522566i | ||||
\(698\) | −211.543 | + | 147.563i | −0.303071 | + | 0.211409i | ||||
\(699\) | −303.509 | + | 250.103i | −0.434205 | + | 0.357801i | ||||
\(700\) | −228.818 | + | 406.289i | −0.326883 | + | 0.580413i | ||||
\(701\) | −302.257 | + | 863.802i | −0.431180 | + | 1.23224i | 0.499470 | + | 0.866331i | \(0.333528\pi\) |
−0.930650 | + | 0.365911i | \(0.880758\pi\) | |||||||
\(702\) | 101.293 | − | 31.8385i | 0.144292 | − | 0.0453539i | ||||
\(703\) | −251.814 | + | 228.691i | −0.358199 | + | 0.325307i | ||||
\(704\) | −4.05779 | − | 2.54968i | −0.00576391 | − | 0.00362170i | ||||
\(705\) | 254.814 | − | 319.526i | 0.361438 | − | 0.453229i | ||||
\(706\) | 89.2575 | + | 18.8726i | 0.126427 | + | 0.0267317i | ||||
\(707\) | 1353.58 | + | 944.198i | 1.91454 | + | 1.33550i | ||||
\(708\) | 581.444 | − | 46.6985i | 0.821249 | − | 0.0659584i | ||||
\(709\) | 1198.74 | + | 174.137i | 1.69075 | + | 0.245609i | 0.920111 | − | 0.391658i | \(-0.128098\pi\) |
0.770643 | + | 0.637267i | \(0.219935\pi\) | |||||||
\(710\) | 46.5673 | − | 261.373i | 0.0655877 | − | 0.368131i | ||||
\(711\) | 87.2943 | + | 249.473i | 0.122777 | + | 0.350876i | ||||
\(712\) | 301.271 | + | 403.675i | 0.423133 | + | 0.566959i | ||||
\(713\) | −189.570 | − | 324.331i | −0.265877 | − | 0.454882i | ||||
\(714\) | −7.55720 | − | 157.040i | −0.0105843 | − | 0.219944i | ||||
\(715\) | −10.0030 | + | 11.3756i | −0.0139903 | + | 0.0159099i | ||||
\(716\) | 125.793 | + | 272.292i | 0.175689 | + | 0.380296i | ||||
\(717\) | 88.0631 | − | 280.170i | 0.122822 | − | 0.390754i | ||||
\(718\) | 310.264 | − | 415.726i | 0.432123 | − | 0.579005i | ||||
\(719\) | −552.010 | − | 62.1965i | −0.767746 | − | 0.0865042i | −0.280600 | − | 0.959825i | \(-0.590533\pi\) |
−0.487146 | + | 0.873321i | \(0.661962\pi\) | |||||||
\(720\) | −47.2092 | − | 75.1331i | −0.0655684 | − | 0.104352i | ||||
\(721\) | 150.685 | − | 539.249i | 0.208995 | − | 0.747918i | ||||
\(722\) | 30.5504 | − | 124.609i | 0.0423136 | − | 0.172589i | ||||
\(723\) | 500.324 | + | 131.200i | 0.692011 | + | 0.181467i | ||||
\(724\) | 75.0573 | − | 778.047i | 0.103670 | − | 1.07465i | ||||
\(725\) | 322.722 | + | 95.7822i | 0.445134 | + | 0.132113i | ||||
\(726\) | −264.669 | − | 225.316i | −0.364558 | − | 0.310353i | ||||
\(727\) | −764.323 | + | 463.337i | −1.05134 | + | 0.637328i | −0.934551 | − | 0.355829i | \(-0.884198\pi\) |
−0.116788 | + | 0.993157i | \(0.537260\pi\) | |||||||
\(728\) | 400.245 | − | 147.294i | 0.549787 | − | 0.202327i | ||||
\(729\) | 43.7967 | − | 339.678i | 0.0600777 | − | 0.465951i | ||||
\(730\) | 93.6777 | − | 138.990i | 0.128326 | − | 0.190397i | ||||
\(731\) | 168.951 | + | 130.359i | 0.231123 | + | 0.178330i | ||||
\(732\) | −240.758 | − | 256.710i | −0.328904 | − | 0.350697i | ||||
\(733\) | 1081.40 | + | 359.048i | 1.47530 | + | 0.489834i | 0.935916 | − | 0.352224i | \(-0.114575\pi\) |
0.539386 | + | 0.842058i | \(0.318656\pi\) | |||||||
\(734\) | 304.976 | + | 358.243i | 0.415499 | + | 0.488069i | ||||
\(735\) | −897.807 | + | 397.433i | −1.22151 | + | 0.540725i | ||||
\(736\) | −308.543 | + | 667.872i | −0.419215 | + | 0.907435i | ||||
\(737\) | −50.0933 | − | 45.4934i | −0.0679692 | − | 0.0617278i | ||||
\(738\) | 5.61794 | + | 20.1046i | 0.00761239 | + | 0.0272420i | ||||
\(739\) | 1101.70 | − | 35.3295i | 1.49080 | − | 0.0478072i | 0.724049 | − | 0.689748i | \(-0.242279\pi\) |
0.766754 | + | 0.641941i | \(0.221871\pi\) | |||||||
\(740\) | −30.8561 | − | 173.189i | −0.0416974 | − | 0.234039i | ||||
\(741\) | −425.117 | + | 239.422i | −0.573708 | + | 0.323106i | ||||
\(742\) | −203.098 | − | 78.4606i | −0.273718 | − | 0.105742i | ||||
\(743\) | −835.932 | + | 603.255i | −1.12508 | + | 0.811918i | −0.984016 | − | 0.178083i | \(-0.943011\pi\) |
−0.141061 | + | 0.990001i | \(0.545051\pi\) | |||||||
\(744\) | 159.578 | − | 294.280i | 0.214486 | − | 0.395538i | ||||
\(745\) | 314.504 | − | 104.423i | 0.422153 | − | 0.140165i | ||||
\(746\) | −36.9220 | − | 22.3823i | −0.0494933 | − | 0.0300031i | ||||
\(747\) | 11.8112 | + | 2.30024i | 0.0158115 | + | 0.00307930i | ||||
\(748\) | −10.9206 | + | 1.05350i | −0.0145998 | + | 0.00140842i | ||||
\(749\) | 348.420 | − | 2155.10i | 0.465180 | − | 2.87730i | ||||
\(750\) | −233.834 | − | 303.059i | −0.311779 | − | 0.404079i | ||||
\(751\) | −37.9900 | − | 591.725i | −0.0505859 | − | 0.787916i | −0.942186 | − | 0.335092i | \(-0.891233\pi\) |
0.891600 | − | 0.452825i | \(-0.149584\pi\) | |||||||
\(752\) | 118.002 | + | 245.033i | 0.156917 | + | 0.325842i | ||||
\(753\) | −737.201 | + | 1021.54i | −0.979018 | + | 1.35663i | ||||
\(754\) | −76.0562 | − | 116.843i | −0.100870 | − | 0.154964i | ||||
\(755\) | −98.2550 | + | 430.483i | −0.130139 | + | 0.570177i | ||||
\(756\) | 62.0768 | − | 772.920i | 0.0821122 | − | 1.02238i | ||||
\(757\) | −538.396 | − | 443.658i | −0.711223 | − | 0.586074i | 0.208791 | − | 0.977960i | \(-0.433047\pi\) |
−0.920014 | + | 0.391886i | \(0.871823\pi\) | |||||||
\(758\) | 283.694 | − | 109.596i | 0.374267 | − | 0.144586i | ||||
\(759\) | −30.9091 | + | 47.4846i | −0.0407234 | + | 0.0625621i | ||||
\(760\) | 340.224 | + | 351.309i | 0.447663 | + | 0.462248i | ||||
\(761\) | 45.0461 | + | 51.2270i | 0.0591933 | + | 0.0673154i | 0.779800 | − | 0.626028i | \(-0.215321\pi\) |
−0.720607 | + | 0.693344i | \(0.756137\pi\) | |||||||
\(762\) | −67.7087 | + | 152.955i | −0.0888565 | + | 0.200728i | ||||
\(763\) | −667.046 | − | 2247.50i | −0.874241 | − | 2.94561i | ||||
\(764\) | −40.8785 | − | 209.902i | −0.0535059 | − | 0.274741i | ||||
\(765\) | −48.8250 | − | 17.9680i | −0.0638235 | − | 0.0234876i | ||||
\(766\) | −187.424 | + | 359.257i | −0. |