Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [845,2,Mod(484,845)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(845, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("845.484");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 845 = 5 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 845.n (of order \(6\), degree \(2\), not 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: | \(6.74735897080\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 8x^{10} + 54x^{8} - 78x^{6} + 92x^{4} - 10x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 65) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 529.5 | ||
Root | \(1.02826 - 0.593667i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 845.529 |
Dual form | 845.2.n.e.484.5 |
$q$-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 \(\left(\mathbb{Z}/845\mathbb{Z}\right)^\times\).
\(n\) | \(171\) | \(677\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.02826 | + | 0.593667i | 0.727090 | + | 0.419786i | 0.817357 | − | 0.576132i | \(-0.195439\pi\) |
−0.0902665 | + | 0.995918i | \(0.528772\pi\) | |||||||
\(3\) | 0.298874 | + | 0.172555i | 0.172555 | + | 0.0996247i | 0.583790 | − | 0.811905i | \(-0.301569\pi\) |
−0.411235 | + | 0.911529i | \(0.634902\pi\) | |||||||
\(4\) | −0.295120 | − | 0.511162i | −0.147560 | − | 0.255581i | ||||
\(5\) | −1.44045 | + | 1.71029i | −0.644189 | + | 0.764867i | ||||
\(6\) | 0.204880 | + | 0.354863i | 0.0836420 | + | 0.144872i | ||||
\(7\) | −1.75765 | + | 1.01478i | −0.664328 | + | 0.383550i | −0.793924 | − | 0.608017i | \(-0.791965\pi\) |
0.129596 | + | 0.991567i | \(0.458632\pi\) | |||||||
\(8\) | − | 3.07548i | − | 1.08735i | ||||||
\(9\) | −1.44045 | − | 2.49493i | −0.480150 | − | 0.831644i | ||||
\(10\) | −2.49650 | + | 0.903481i | −0.789463 | + | 0.285706i | ||||
\(11\) | 1.94045 | − | 3.36096i | 0.585068 | − | 1.01337i | −0.409799 | − | 0.912176i | \(-0.634401\pi\) |
0.994867 | − | 0.101191i | \(-0.0322653\pi\) | |||||||
\(12\) | − | 0.203698i | − | 0.0588024i | ||||||
\(13\) | 0 | 0 | ||||||||
\(14\) | −2.40976 | −0.644036 | ||||||||
\(15\) | −0.725633 | + | 0.262606i | −0.187358 | + | 0.0678045i | ||||
\(16\) | 1.23557 | − | 2.14007i | 0.308892 | − | 0.535017i | ||||
\(17\) | −4.71996 | + | 2.72507i | −1.14476 | + | 0.660927i | −0.947605 | − | 0.319445i | \(-0.896503\pi\) |
−0.197155 | + | 0.980372i | \(0.563170\pi\) | |||||||
\(18\) | − | 3.42059i | − | 0.806240i | ||||||
\(19\) | −2.94045 | − | 5.09301i | −0.674585 | − | 1.16842i | −0.976590 | − | 0.215110i | \(-0.930989\pi\) |
0.302005 | − | 0.953306i | \(-0.402344\pi\) | |||||||
\(20\) | 1.29934 | + | 0.231562i | 0.290542 | + | 0.0517789i | ||||
\(21\) | −0.700420 | −0.152844 | ||||||||
\(22\) | 3.99058 | − | 2.30396i | 0.850794 | − | 0.491206i | ||||
\(23\) | −0.298874 | − | 0.172555i | −0.0623195 | − | 0.0359802i | 0.468516 | − | 0.883455i | \(-0.344789\pi\) |
−0.530836 | + | 0.847475i | \(0.678122\pi\) | |||||||
\(24\) | 0.530689 | − | 0.919180i | 0.108326 | − | 0.187627i | ||||
\(25\) | −0.850210 | − | 4.92718i | −0.170042 | − | 0.985437i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | − | 2.02956i | − | 0.390588i | ||||||
\(28\) | 1.03743 | + | 0.598962i | 0.196056 | + | 0.113193i | ||||
\(29\) | 1.50000 | − | 2.59808i | 0.278543 | − | 0.482451i | −0.692480 | − | 0.721437i | \(-0.743482\pi\) |
0.971023 | + | 0.238987i | \(0.0768152\pi\) | |||||||
\(30\) | −0.902040 | − | 0.160757i | −0.164689 | − | 0.0293501i | ||||
\(31\) | −1.18048 | −0.212020 | −0.106010 | − | 0.994365i | \(-0.533808\pi\) | ||||
−0.106010 | + | 0.994365i | \(0.533808\pi\) | |||||||
\(32\) | −2.78591 | + | 1.60845i | −0.492484 | + | 0.284336i | ||||
\(33\) | 1.15990 | − | 0.669668i | 0.201913 | − | 0.116574i | ||||
\(34\) | −6.47114 | −1.10979 | ||||||||
\(35\) | 0.796234 | − | 4.46783i | 0.134588 | − | 0.755201i | ||||
\(36\) | −0.850210 | + | 1.47261i | −0.141702 | + | 0.245435i | ||||
\(37\) | 4.71996 | + | 2.72507i | 0.775957 | + | 0.447999i | 0.834996 | − | 0.550257i | \(-0.185470\pi\) |
−0.0590384 | + | 0.998256i | \(0.518803\pi\) | |||||||
\(38\) | − | 6.98259i | − | 1.13273i | ||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 5.25997 | + | 4.43007i | 0.831674 | + | 0.700456i | ||||
\(41\) | 0.0902394 | − | 0.156299i | 0.0140930 | − | 0.0244098i | −0.858893 | − | 0.512155i | \(-0.828847\pi\) |
0.872986 | + | 0.487745i | \(0.162181\pi\) | |||||||
\(42\) | −0.720215 | − | 0.415816i | −0.111132 | − | 0.0641618i | ||||
\(43\) | 1.15990 | − | 0.669668i | 0.176883 | − | 0.102123i | −0.408944 | − | 0.912559i | \(-0.634103\pi\) |
0.585827 | + | 0.810436i | \(0.300770\pi\) | |||||||
\(44\) | −2.29066 | −0.345330 | ||||||||
\(45\) | 6.34196 | + | 1.13023i | 0.945404 | + | 0.168485i | ||||
\(46\) | −0.204880 | − | 0.354863i | −0.0302079 | − | 0.0523217i | ||||
\(47\) | − | 12.2807i | − | 1.79133i | −0.444731 | − | 0.895664i | \(-0.646701\pi\) | ||
0.444731 | − | 0.895664i | \(-0.353299\pi\) | |||||||
\(48\) | 0.738559 | − | 0.426407i | 0.106602 | − | 0.0615466i | ||||
\(49\) | −1.44045 | + | 2.49493i | −0.205779 | + | 0.356419i | ||||
\(50\) | 2.05087 | − | 5.57117i | 0.290036 | − | 0.787883i | ||||
\(51\) | −1.88090 | −0.263379 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | − | 2.42636i | − | 0.333286i | −0.986017 | − | 0.166643i | \(-0.946707\pi\) | ||
0.986017 | − | 0.166643i | \(-0.0532928\pi\) | |||||||
\(54\) | 1.20488 | − | 2.08691i | 0.163963 | − | 0.283993i | ||||
\(55\) | 2.95310 | + | 8.16003i | 0.398197 | + | 1.10030i | ||||
\(56\) | 3.12093 | + | 5.40561i | 0.417052 | + | 0.722355i | ||||
\(57\) | − | 2.02956i | − | 0.268821i | ||||||
\(58\) | 3.08478 | − | 1.78100i | 0.405052 | − | 0.233857i | ||||
\(59\) | 3.53069 | + | 6.11533i | 0.459657 | + | 0.796149i | 0.998943 | − | 0.0459741i | \(-0.0146392\pi\) |
−0.539286 | + | 0.842123i | \(0.681306\pi\) | |||||||
\(60\) | 0.348383 | + | 0.293416i | 0.0449760 | + | 0.0378798i | ||||
\(61\) | −3.38090 | − | 5.85589i | −0.432880 | − | 0.749770i | 0.564240 | − | 0.825611i | \(-0.309169\pi\) |
−0.997120 | + | 0.0758409i | \(0.975836\pi\) | |||||||
\(62\) | −1.21384 | − | 0.700811i | −0.154158 | − | 0.0890031i | ||||
\(63\) | 5.06361 | + | 2.92347i | 0.637954 | + | 0.368323i | ||||
\(64\) | −8.76180 | −1.09522 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 1.59024 | 0.195745 | ||||||||
\(67\) | −3.81417 | − | 2.20211i | −0.465975 | − | 0.269031i | 0.248578 | − | 0.968612i | \(-0.420037\pi\) |
−0.714553 | + | 0.699581i | \(0.753370\pi\) | |||||||
\(68\) | 2.78591 | + | 1.60845i | 0.337841 | + | 0.195053i | ||||
\(69\) | −0.0595504 | − | 0.103144i | −0.00716903 | − | 0.0124171i | ||||
\(70\) | 3.47114 | − | 4.12140i | 0.414880 | − | 0.492601i | ||||
\(71\) | −0.940450 | − | 1.62891i | −0.111611 | − | 0.193316i | 0.804809 | − | 0.593534i | \(-0.202268\pi\) |
−0.916420 | + | 0.400218i | \(0.868934\pi\) | |||||||
\(72\) | −7.67311 | + | 4.43007i | −0.904284 | + | 0.522089i | ||||
\(73\) | 8.86014i | 1.03700i | 0.855077 | + | 0.518501i | \(0.173510\pi\) | ||||
−0.855077 | + | 0.518501i | \(0.826490\pi\) | |||||||
\(74\) | 3.23557 | + | 5.60417i | 0.376127 | + | 0.651472i | ||||
\(75\) | 0.596104 | − | 1.61932i | 0.0688322 | − | 0.186982i | ||||
\(76\) | −1.73557 | + | 3.00609i | −0.199083 | + | 0.344823i | ||||
\(77\) | 7.87651i | 0.897611i | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −11.1805 | −1.25790 | −0.628951 | − | 0.777445i | \(-0.716515\pi\) | ||||
−0.628951 | + | 0.777445i | \(0.716515\pi\) | |||||||
\(80\) | 1.88037 | + | 5.19585i | 0.210232 | + | 0.580913i | ||||
\(81\) | −3.97114 | + | 6.87821i | −0.441238 | + | 0.764246i | ||||
\(82\) | 0.185579 | − | 0.107144i | 0.0204938 | − | 0.0118321i | ||||
\(83\) | 7.83540i | 0.860047i | 0.902818 | + | 0.430024i | \(0.141495\pi\) | ||||
−0.902818 | + | 0.430024i | \(0.858505\pi\) | |||||||
\(84\) | 0.206708 | + | 0.358028i | 0.0225537 | + | 0.0390641i | ||||
\(85\) | 2.13820 | − | 11.9979i | 0.231920 | − | 1.30135i | ||||
\(86\) | 1.59024 | 0.171480 | ||||||||
\(87\) | 0.896622 | − | 0.517665i | 0.0961280 | − | 0.0554995i | ||||
\(88\) | −10.3365 | − | 5.96781i | −1.10188 | − | 0.636171i | ||||
\(89\) | −6.12093 | + | 10.6018i | −0.648817 | + | 1.12378i | 0.334589 | + | 0.942364i | \(0.391403\pi\) |
−0.983406 | + | 0.181420i | \(0.941931\pi\) | |||||||
\(90\) | 5.85021 | + | 4.92718i | 0.616666 | + | 0.519371i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0.203698i | 0.0212369i | ||||||||
\(93\) | −0.352814 | − | 0.203698i | −0.0365852 | − | 0.0211224i | ||||
\(94\) | 7.29066 | − | 12.6278i | 0.751974 | − | 1.30246i | ||||
\(95\) | 12.9461 | + | 2.30719i | 1.32824 | + | 0.236713i | ||||
\(96\) | −1.11018 | −0.113307 | ||||||||
\(97\) | 5.02801 | − | 2.90292i | 0.510517 | − | 0.294747i | −0.222529 | − | 0.974926i | \(-0.571431\pi\) |
0.733046 | + | 0.680179i | \(0.238098\pi\) | |||||||
\(98\) | −2.96232 | + | 1.71029i | −0.299239 | + | 0.172766i | ||||
\(99\) | −11.1805 | −1.12368 | ||||||||
\(100\) | −2.26768 | + | 1.88870i | −0.226768 | + | 0.188870i | ||||
\(101\) | 2.97114 | − | 5.14616i | 0.295639 | − | 0.512062i | −0.679494 | − | 0.733681i | \(-0.737801\pi\) |
0.975133 | + | 0.221619i | \(0.0711340\pi\) | |||||||
\(102\) | −1.93405 | − | 1.11663i | −0.191500 | − | 0.110563i | ||||
\(103\) | 6.43378i | 0.633939i | 0.948436 | + | 0.316970i | \(0.102665\pi\) | ||||
−0.948436 | + | 0.316970i | \(0.897335\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 1.00892 | − | 1.19792i | 0.0984605 | − | 0.116905i | ||||
\(106\) | 1.44045 | − | 2.49493i | 0.139909 | − | 0.242329i | ||||
\(107\) | −15.3106 | − | 8.83959i | −1.48013 | − | 0.854555i | −0.480387 | − | 0.877057i | \(-0.659504\pi\) |
−0.999747 | + | 0.0225015i | \(0.992837\pi\) | |||||||
\(108\) | −1.03743 | + | 0.598962i | −0.0998270 | + | 0.0576352i | ||||
\(109\) | 5.76180 | 0.551880 | 0.275940 | − | 0.961175i | \(-0.411011\pi\) | ||||
0.275940 | + | 0.961175i | \(0.411011\pi\) | |||||||
\(110\) | −1.80777 | + | 10.1438i | −0.172365 | + | 0.967173i | ||||
\(111\) | 0.940450 | + | 1.62891i | 0.0892635 | + | 0.154609i | ||||
\(112\) | 5.01532i | 0.473903i | ||||||||
\(113\) | 4.12222 | − | 2.37996i | 0.387785 | − | 0.223888i | −0.293415 | − | 0.955985i | \(-0.594792\pi\) |
0.681200 | + | 0.732097i | \(0.261458\pi\) | |||||||
\(114\) | 1.20488 | − | 2.08691i | 0.112847 | − | 0.195457i | ||||
\(115\) | 0.725633 | − | 0.262606i | 0.0676656 | − | 0.0244881i | ||||
\(116\) | −1.77072 | −0.164407 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 8.38421i | 0.771829i | ||||||||
\(119\) | 5.53069 | − | 9.57943i | 0.506997 | − | 0.878145i | ||||
\(120\) | 0.807638 | + | 2.23167i | 0.0737269 | + | 0.203722i | ||||
\(121\) | −2.03069 | − | 3.51726i | −0.184608 | − | 0.319751i | ||||
\(122\) | − | 8.02851i | − | 0.726867i | ||||||
\(123\) | 0.0539404 | − | 0.0311425i | 0.00486365 | − | 0.00280803i | ||||
\(124\) | 0.348383 | + | 0.603416i | 0.0312857 | + | 0.0541884i | ||||
\(125\) | 9.65162 | + | 5.64325i | 0.863267 | + | 0.504748i | ||||
\(126\) | 3.47114 | + | 6.01219i | 0.309234 | + | 0.535608i | ||||
\(127\) | 14.4679 | + | 8.35307i | 1.28382 | + | 0.741215i | 0.977545 | − | 0.210728i | \(-0.0675833\pi\) |
0.306277 | + | 0.951942i | \(0.400917\pi\) | |||||||
\(128\) | −3.43760 | − | 1.98470i | −0.303844 | − | 0.175424i | ||||
\(129\) | 0.462218 | 0.0406961 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 10.0000 | 0.873704 | 0.436852 | − | 0.899533i | \(-0.356093\pi\) | ||||
0.436852 | + | 0.899533i | \(0.356093\pi\) | |||||||
\(132\) | −0.684619 | − | 0.395265i | −0.0595884 | − | 0.0344034i | ||||
\(133\) | 10.3365 | + | 5.96781i | 0.896292 | + | 0.517475i | ||||
\(134\) | −2.61464 | − | 4.52869i | −0.225871 | − | 0.391219i | ||||
\(135\) | 3.47114 | + | 2.92347i | 0.298748 | + | 0.251613i | ||||
\(136\) | 8.38090 | + | 14.5161i | 0.718656 | + | 1.24475i | ||||
\(137\) | −1.71288 | + | 0.988931i | −0.146341 | + | 0.0844901i | −0.571383 | − | 0.820684i | \(-0.693593\pi\) |
0.425042 | + | 0.905174i | \(0.360259\pi\) | |||||||
\(138\) | − | 0.141412i | − | 0.0120378i | ||||||
\(139\) | 4.35021 | + | 7.53478i | 0.368980 | + | 0.639092i | 0.989406 | − | 0.145173i | \(-0.0463737\pi\) |
−0.620426 | + | 0.784265i | \(0.713040\pi\) | |||||||
\(140\) | −2.51877 | + | 0.911540i | −0.212875 | + | 0.0770392i | ||||
\(141\) | 2.11910 | − | 3.67039i | 0.178460 | − | 0.309103i | ||||
\(142\) | − | 2.23325i | − | 0.187411i | ||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | −7.11910 | −0.593258 | ||||||||
\(145\) | 2.28280 | + | 6.30784i | 0.189576 | + | 0.523837i | ||||
\(146\) | −5.25997 | + | 9.11054i | −0.435318 | + | 0.753993i | ||||
\(147\) | −0.861026 | + | 0.497113i | −0.0710162 | + | 0.0410012i | ||||
\(148\) | − | 3.21689i | − | 0.264427i | ||||||
\(149\) | −11.1516 | − | 19.3152i | −0.913576 | − | 1.58236i | −0.808973 | − | 0.587846i | \(-0.799976\pi\) |
−0.104603 | − | 0.994514i | \(-0.533357\pi\) | |||||||
\(150\) | 1.57428 | − | 1.31119i | 0.128540 | − | 0.107058i | ||||
\(151\) | 19.1626 | 1.55943 | 0.779717 | − | 0.626132i | \(-0.215363\pi\) | ||||
0.779717 | + | 0.626132i | \(0.215363\pi\) | |||||||
\(152\) | −15.6634 | + | 9.04329i | −1.27047 | + | 0.733507i | ||||
\(153\) | 13.5977 | + | 7.85066i | 1.09931 | + | 0.634688i | ||||
\(154\) | −4.67602 | + | 8.09910i | −0.376804 | + | 0.652644i | ||||
\(155\) | 1.70042 | − | 2.01897i | 0.136581 | − | 0.162167i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | − | 6.20265i | − | 0.495025i | −0.968885 | − | 0.247513i | \(-0.920387\pi\) | ||
0.968885 | − | 0.247513i | \(-0.0796132\pi\) | |||||||
\(158\) | −11.4964 | − | 6.63748i | −0.914608 | − | 0.528049i | ||||
\(159\) | 0.418681 | − | 0.725176i | 0.0332035 | − | 0.0575102i | ||||
\(160\) | 1.26205 | − | 7.08161i | 0.0997736 | − | 0.559850i | ||||
\(161\) | 0.700420 | 0.0552008 | ||||||||
\(162\) | −8.16673 | + | 4.71507i | −0.641639 | + | 0.370451i | ||||
\(163\) | 10.3365 | − | 5.96781i | 0.809621 | − | 0.467435i | −0.0372032 | − | 0.999308i | \(-0.511845\pi\) |
0.846824 | + | 0.531873i | \(0.178512\pi\) | |||||||
\(164\) | −0.106526 | −0.00831826 | ||||||||
\(165\) | −0.525447 | + | 2.94839i | −0.0409060 | + | 0.229532i | ||||
\(166\) | −4.65162 | + | 8.05684i | −0.361036 | + | 0.625332i | ||||
\(167\) | −1.75765 | − | 1.01478i | −0.136011 | − | 0.0785259i | 0.430451 | − | 0.902614i | \(-0.358355\pi\) |
−0.566461 | + | 0.824088i | \(0.691688\pi\) | |||||||
\(168\) | 2.15413i | 0.166195i | ||||||||
\(169\) | 0 | 0 | ||||||||
\(170\) | 9.32135 | − | 11.0675i | 0.714915 | − | 0.848842i | ||||
\(171\) | −8.47114 | + | 14.6724i | −0.647804 | + | 1.12203i | ||||
\(172\) | −0.684619 | − | 0.395265i | −0.0522017 | − | 0.0301387i | ||||
\(173\) | −1.15990 | + | 0.669668i | −0.0881855 | + | 0.0509139i | −0.543444 | − | 0.839445i | \(-0.682880\pi\) |
0.455259 | + | 0.890359i | \(0.349547\pi\) | |||||||
\(174\) | 1.22928 | 0.0931916 | ||||||||
\(175\) | 6.49437 | + | 7.79748i | 0.490928 | + | 0.589434i | ||||
\(176\) | −4.79512 | − | 8.30539i | −0.361446 | − | 0.626042i | ||||
\(177\) | 2.43695i | 0.183173i | ||||||||
\(178\) | −12.5878 | + | 7.26758i | −0.943497 | + | 0.544728i | ||||
\(179\) | 10.1120 | − | 17.5145i | 0.755807 | − | 1.30910i | −0.189165 | − | 0.981945i | \(-0.560578\pi\) |
0.944972 | − | 0.327151i | \(-0.106089\pi\) | |||||||
\(180\) | −1.29391 | − | 3.57533i | −0.0964421 | − | 0.266489i | ||||
\(181\) | 19.8232 | 1.47345 | 0.736723 | − | 0.676195i | \(-0.236372\pi\) | ||||
0.736723 | + | 0.676195i | \(0.236372\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | − | 2.33356i | − | 0.172502i | ||||||
\(184\) | −0.530689 | + | 0.919180i | −0.0391229 | + | 0.0677629i | ||||
\(185\) | −11.4595 | + | 4.14720i | −0.842522 | + | 0.304908i | ||||
\(186\) | −0.241857 | − | 0.418908i | −0.0177338 | − | 0.0307159i | ||||
\(187\) | 21.1515i | 1.54675i | ||||||||
\(188\) | −6.27745 | + | 3.62429i | −0.457830 | + | 0.264328i | ||||
\(189\) | 2.05955 | + | 3.56725i | 0.149810 | + | 0.259479i | ||||
\(190\) | 11.9423 | + | 10.0581i | 0.866384 | + | 0.729689i | ||||
\(191\) | −0.768891 | − | 1.33176i | −0.0556350 | − | 0.0963626i | 0.836867 | − | 0.547407i | \(-0.184385\pi\) |
−0.892502 | + | 0.451044i | \(0.851052\pi\) | |||||||
\(192\) | −2.61867 | − | 1.51189i | −0.188986 | − | 0.109111i | ||||
\(193\) | −18.3625 | − | 10.6016i | −1.32176 | − | 0.763118i | −0.337750 | − | 0.941236i | \(-0.609666\pi\) |
−0.984009 | + | 0.178117i | \(0.942999\pi\) | |||||||
\(194\) | 6.89347 | 0.494923 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.70042 | 0.121459 | ||||||||
\(197\) | −8.01675 | − | 4.62847i | −0.571170 | − | 0.329765i | 0.186447 | − | 0.982465i | \(-0.440303\pi\) |
−0.757616 | + | 0.652700i | \(0.773636\pi\) | |||||||
\(198\) | −11.4964 | − | 6.63748i | −0.817017 | − | 0.471705i | ||||
\(199\) | −8.70225 | − | 15.0727i | −0.616886 | − | 1.06848i | −0.990050 | − | 0.140713i | \(-0.955061\pi\) |
0.373164 | − | 0.927765i | \(-0.378273\pi\) | |||||||
\(200\) | −15.1534 | + | 2.61480i | −1.07151 | + | 0.184894i | ||||
\(201\) | −0.759971 | − | 1.31631i | −0.0536042 | − | 0.0928452i | ||||
\(202\) | 6.11021 | − | 3.52773i | 0.429913 | − | 0.248210i | ||||
\(203\) | 6.08867i | 0.427341i | ||||||||
\(204\) | 0.555090 | + | 0.961445i | 0.0388641 | + | 0.0673146i | ||||
\(205\) | 0.137332 | + | 0.379477i | 0.00959171 | + | 0.0265038i | ||||
\(206\) | −3.81952 | + | 6.61560i | −0.266119 | + | 0.460931i | ||||
\(207\) | 0.994227i | 0.0691036i | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −22.8232 | −1.57871 | ||||||||
\(210\) | 1.74860 | − | 0.632817i | 0.120665 | − | 0.0436685i | ||||
\(211\) | 3.64087 | − | 6.30617i | 0.250648 | − | 0.434135i | −0.713057 | − | 0.701107i | \(-0.752690\pi\) |
0.963704 | + | 0.266972i | \(0.0860231\pi\) | |||||||
\(212\) | −1.24026 | + | 0.716067i | −0.0851817 | + | 0.0491797i | ||||
\(213\) | − | 0.649117i | − | 0.0444768i | ||||||
\(214\) | −10.4955 | − | 18.1788i | −0.717460 | − | 1.24268i | ||||
\(215\) | −0.525447 | + | 2.94839i | −0.0358352 | + | 0.201079i | ||||
\(216\) | −6.24186 | −0.424705 | ||||||||
\(217\) | 2.07487 | − | 1.19792i | 0.140851 | − | 0.0813204i | ||||
\(218\) | 5.92463 | + | 3.42059i | 0.401267 | + | 0.231671i | ||||
\(219\) | −1.52886 | + | 2.64807i | −0.103311 | + | 0.178940i | ||||
\(220\) | 3.29958 | − | 3.91770i | 0.222458 | − | 0.264131i | ||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 2.23325i | 0.149886i | ||||||||
\(223\) | 16.8589 | + | 9.73351i | 1.12896 | + | 0.651804i | 0.943672 | − | 0.330881i | \(-0.107346\pi\) |
0.185285 | + | 0.982685i | \(0.440679\pi\) | |||||||
\(224\) | 3.26443 | − | 5.65416i | 0.218114 | − | 0.377784i | ||||
\(225\) | −11.0683 | + | 9.21858i | −0.737887 | + | 0.614572i | ||||
\(226\) | 5.65162 | 0.375940 | ||||||||
\(227\) | −4.16698 | + | 2.40581i | −0.276572 | + | 0.159679i | −0.631871 | − | 0.775074i | \(-0.717713\pi\) |
0.355298 | + | 0.934753i | \(0.384379\pi\) | |||||||
\(228\) | −1.03743 | + | 0.598962i | −0.0687057 | + | 0.0396672i | ||||
\(229\) | 1.52360 | 0.100682 | 0.0503410 | − | 0.998732i | \(-0.483969\pi\) | ||||
0.0503410 | + | 0.998732i | \(0.483969\pi\) | |||||||
\(230\) | 0.902040 | + | 0.160757i | 0.0594787 | + | 0.0106000i | ||||
\(231\) | −1.35913 | + | 2.35408i | −0.0894242 | + | 0.154887i | ||||
\(232\) | −7.99033 | − | 4.61322i | −0.524591 | − | 0.302873i | ||||
\(233\) | 13.9652i | 0.914889i | 0.889238 | + | 0.457445i | \(0.151235\pi\) | ||||
−0.889238 | + | 0.457445i | \(0.848765\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 21.0037 | + | 17.6898i | 1.37013 | + | 1.15395i | ||||
\(236\) | 2.08395 | − | 3.60951i | 0.135654 | − | 0.234959i | ||||
\(237\) | −3.34155 | − | 1.92925i | −0.217057 | − | 0.125318i | ||||
\(238\) | 11.3740 | − | 6.56677i | 0.737266 | − | 0.425661i | ||||
\(239\) | 4.00000 | 0.258738 | 0.129369 | − | 0.991596i | \(-0.458705\pi\) | ||||
0.129369 | + | 0.991596i | \(0.458705\pi\) | |||||||
\(240\) | −0.334575 | + | 1.87737i | −0.0215967 | + | 0.121184i | ||||
\(241\) | −8.73294 | − | 15.1259i | −0.562538 | − | 0.974344i | −0.997274 | − | 0.0737864i | \(-0.976492\pi\) |
0.434736 | − | 0.900558i | \(-0.356842\pi\) | |||||||
\(242\) | − | 4.82221i | − | 0.309983i | ||||||
\(243\) | −7.64668 | + | 4.41481i | −0.490535 | + | 0.283210i | ||||
\(244\) | −1.99554 | + | 3.45638i | −0.127751 | + | 0.221272i | ||||
\(245\) | −2.19217 | − | 6.05742i | −0.140053 | − | 0.386994i | ||||
\(246\) | 0.0739531 | 0.00471508 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 3.63054i | 0.230539i | ||||||||
\(249\) | −1.35204 | + | 2.34180i | −0.0856819 | + | 0.148405i | ||||
\(250\) | 6.57417 | + | 11.5326i | 0.415787 | + | 0.729384i | ||||
\(251\) | −4.64979 | − | 8.05367i | −0.293492 | − | 0.508343i | 0.681141 | − | 0.732152i | \(-0.261484\pi\) |
−0.974633 | + | 0.223809i | \(0.928151\pi\) | |||||||
\(252\) | − | 3.45110i | − | 0.217399i | ||||||
\(253\) | −1.15990 | + | 0.669668i | −0.0729223 | + | 0.0421017i | ||||
\(254\) | 9.91788 | + | 17.1783i | 0.622303 | + | 1.07786i | ||||
\(255\) | 2.70934 | − | 3.21689i | 0.169665 | − | 0.201449i | ||||
\(256\) | 6.40530 | + | 11.0943i | 0.400331 | + | 0.693394i | ||||
\(257\) | −9.43076 | − | 5.44485i | −0.588274 | − | 0.339640i | 0.176141 | − | 0.984365i | \(-0.443639\pi\) |
−0.764415 | + | 0.644725i | \(0.776972\pi\) | |||||||
\(258\) | 0.475281 | + | 0.274404i | 0.0295897 | + | 0.0170836i | ||||
\(259\) | −11.0614 | −0.687321 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −8.64270 | −0.534970 | ||||||||
\(262\) | 10.2826 | + | 5.93667i | 0.635262 | + | 0.366769i | ||||
\(263\) | −11.6399 | − | 6.72031i | −0.717749 | − | 0.414392i | 0.0961749 | − | 0.995364i | \(-0.469339\pi\) |
−0.813923 | + | 0.580972i | \(0.802673\pi\) | |||||||
\(264\) | −2.05955 | − | 3.56725i | −0.126757 | − | 0.219549i | ||||
\(265\) | 4.14979 | + | 3.49505i | 0.254920 | + | 0.214699i | ||||
\(266\) | 7.08578 | + | 12.2729i | 0.434457 | + | 0.752502i | ||||
\(267\) | −3.65877 | + | 2.11239i | −0.223913 | + | 0.129276i | ||||
\(268\) | 2.59955i | 0.158793i | ||||||||
\(269\) | 1.83027 | + | 3.17012i | 0.111593 | + | 0.193286i | 0.916413 | − | 0.400234i | \(-0.131071\pi\) |
−0.804819 | + | 0.593520i | \(0.797738\pi\) | |||||||
\(270\) | 1.83367 | + | 5.06679i | 0.111593 | + | 0.308355i | ||||
\(271\) | 11.0018 | − | 19.0557i | 0.668313 | − | 1.15755i | −0.310062 | − | 0.950716i | \(-0.600350\pi\) |
0.978376 | − | 0.206837i | \(-0.0663168\pi\) | |||||||
\(272\) | 13.4681i | 0.816621i | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −2.34838 | −0.141871 | ||||||||
\(275\) | −18.2098 | − | 6.70343i | −1.09809 | − | 0.404232i | ||||
\(276\) | −0.0351490 | + | 0.0608799i | −0.00211572 | + | 0.00366454i | ||||
\(277\) | 8.56973 | − | 4.94774i | 0.514905 | − | 0.297281i | −0.219943 | − | 0.975513i | \(-0.570587\pi\) |
0.734848 | + | 0.678232i | \(0.237254\pi\) | |||||||
\(278\) | 10.3303i | 0.619570i | ||||||||
\(279\) | 1.70042 | + | 2.94521i | 0.101801 | + | 0.176325i | ||||
\(280\) | −13.7407 | − | 2.44880i | −0.821165 | − | 0.146344i | ||||
\(281\) | −4.06138 | −0.242281 | −0.121141 | − | 0.992635i | \(-0.538655\pi\) | ||||
−0.121141 | + | 0.992635i | \(0.538655\pi\) | |||||||
\(282\) | 4.35798 | − | 2.51608i | 0.259514 | − | 0.149830i | ||||
\(283\) | −5.27294 | − | 3.04434i | −0.313444 | − | 0.180967i | 0.335023 | − | 0.942210i | \(-0.391256\pi\) |
−0.648467 | + | 0.761243i | \(0.724589\pi\) | |||||||
\(284\) | −0.555090 | + | 0.961445i | −0.0329386 | + | 0.0570513i | ||||
\(285\) | 3.47114 | + | 2.92347i | 0.205613 | + | 0.173172i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0.366292i | 0.0216215i | ||||||||
\(288\) | 8.02592 | + | 4.63377i | 0.472932 | + | 0.273047i | ||||
\(289\) | 6.35204 | − | 11.0021i | 0.373649 | − | 0.647180i | ||||
\(290\) | −1.39744 | + | 7.84133i | −0.0820605 | + | 0.460458i | ||||
\(291\) | 2.00366 | 0.117456 | ||||||||
\(292\) | 4.52897 | − | 2.61480i | 0.265038 | − | 0.153020i | ||||
\(293\) | −8.48019 | + | 4.89604i | −0.495418 | + | 0.286030i | −0.726819 | − | 0.686829i | \(-0.759002\pi\) |
0.231401 | + | 0.972858i | \(0.425669\pi\) | |||||||
\(294\) | −1.18048 | −0.0688469 | ||||||||
\(295\) | −15.5448 | − | 2.77031i | −0.905053 | − | 0.161294i | ||||
\(296\) | 8.38090 | − | 14.5161i | 0.487130 | − | 0.843734i | ||||
\(297\) | −6.82125 | − | 3.93825i | −0.395809 | − | 0.228521i | ||||
\(298\) | − | 26.4814i | − | 1.53402i | ||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | −1.00366 | + | 0.173186i | −0.0579461 | + | 0.00999888i | ||||
\(301\) | −1.35913 | + | 2.35408i | −0.0783390 | + | 0.135687i | ||||
\(302\) | 19.7042 | + | 11.3762i | 1.13385 | + | 0.654628i | ||||
\(303\) | 1.77599 | − | 1.02537i | 0.102028 | − | 0.0589059i | ||||
\(304\) | −14.5325 | −0.833497 | ||||||||
\(305\) | 14.8853 | + | 2.65278i | 0.852330 | + | 0.151898i | ||||
\(306\) | 9.32135 | + | 16.1450i | 0.532866 | + | 0.922951i | ||||
\(307\) | 22.1046i | 1.26158i | 0.775955 | + | 0.630788i | \(0.217268\pi\) | ||||
−0.775955 | + | 0.630788i | \(0.782732\pi\) | |||||||
\(308\) | 4.02617 | − | 2.32451i | 0.229412 | − | 0.132451i | ||||
\(309\) | −1.11018 | + | 1.92289i | −0.0631560 | + | 0.109389i | ||||
\(310\) | 2.94707 | − | 1.06654i | 0.167382 | − | 0.0605754i | ||||
\(311\) | 7.63904 | 0.433170 | 0.216585 | − | 0.976264i | \(-0.430508\pi\) | ||||
0.216585 | + | 0.976264i | \(0.430508\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | − | 26.1425i | − | 1.47766i | −0.673891 | − | 0.738831i | \(-0.735378\pi\) | ||
0.673891 | − | 0.738831i | \(-0.264622\pi\) | |||||||
\(314\) | 3.68231 | − | 6.37794i | 0.207805 | − | 0.359928i | ||||
\(315\) | −12.2939 | + | 4.44914i | −0.692681 | + | 0.250680i | ||||
\(316\) | 3.29958 | + | 5.71504i | 0.185616 | + | 0.321496i | ||||
\(317\) | − | 11.8428i | − | 0.665159i | −0.943075 | − | 0.332580i | \(-0.892081\pi\) | ||
0.943075 | − | 0.332580i | \(-0.107919\pi\) | |||||||
\(318\) | 0.861026 | − | 0.497113i | 0.0482839 | − | 0.0278767i | ||||
\(319\) | −5.82135 | − | 10.0829i | −0.325933 | − | 0.564532i | ||||
\(320\) | 12.6209 | − | 14.9852i | 0.705531 | − | 0.837701i | ||||
\(321\) | −3.05063 | − | 5.28385i | −0.170270 | − | 0.294916i | ||||
\(322\) | 0.720215 | + | 0.415816i | 0.0401360 | + | 0.0231725i | ||||
\(323\) | 27.7576 | + | 16.0259i | 1.54448 | + | 0.891704i | ||||
\(324\) | 4.68785 | 0.260436 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 14.1716 | 0.784890 | ||||||||
\(327\) | 1.72205 | + | 0.994227i | 0.0952297 | + | 0.0549809i | ||||
\(328\) | −0.480695 | − | 0.277529i | −0.0265419 | − | 0.0153240i | ||||
\(329\) | 12.4622 | + | 21.5852i | 0.687064 | + | 1.19003i | ||||
\(330\) | −2.29066 | + | 2.71978i | −0.126097 | + | 0.149719i | ||||
\(331\) | −6.35021 | − | 10.9989i | −0.349039 | − | 0.604553i | 0.637040 | − | 0.770831i | \(-0.280159\pi\) |
−0.986079 | + | 0.166277i | \(0.946825\pi\) | |||||||
\(332\) | 4.00516 | − | 2.31238i | 0.219812 | − | 0.126908i | ||||
\(333\) | − | 15.7013i | − | 0.860427i | ||||||
\(334\) | −1.20488 | − | 2.08691i | −0.0659281 | − | 0.114191i | ||||
\(335\) | 9.26038 | − | 3.35132i | 0.505948 | − | 0.183102i | ||||
\(336\) | −0.865418 | + | 1.49895i | −0.0472124 | + | 0.0817743i | ||||
\(337\) | − | 15.2939i | − | 0.833113i | −0.909110 | − | 0.416556i | \(-0.863237\pi\) | ||
0.909110 | − | 0.416556i | \(-0.136763\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 1.64270 | 0.0892191 | ||||||||
\(340\) | −6.76387 | + | 2.44784i | −0.366823 | + | 0.132753i | ||||
\(341\) | −2.29066 | + | 3.96754i | −0.124046 | + | 0.214854i | ||||
\(342\) | −17.4211 | + | 10.0581i | −0.942024 | + | 0.543878i | ||||
\(343\) | − | 20.0538i | − | 1.08281i | ||||||
\(344\) | −2.05955 | − | 3.56725i | −0.111044 | − | 0.192333i | ||||
\(345\) | 0.262187 | + | 0.0467255i | 0.0141157 | + | 0.00251562i | ||||
\(346\) | −1.59024 | −0.0854918 | ||||||||
\(347\) | 10.5998 | − | 6.11981i | 0.569029 | − | 0.328529i | −0.187733 | − | 0.982220i | \(-0.560114\pi\) |
0.756761 | + | 0.653691i | \(0.226781\pi\) | |||||||
\(348\) | −0.529222 | − | 0.305546i | −0.0283693 | − | 0.0163790i | ||||
\(349\) | −9.35021 | + | 16.1950i | −0.500505 | + | 0.866901i | 0.499495 | + | 0.866317i | \(0.333519\pi\) |
−1.00000 | 0.000583538i | \(0.999814\pi\) | ||||||||
\(350\) | 2.04880 | + | 11.8733i | 0.109513 | + | 0.634656i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 12.4844i | 0.665422i | ||||||||
\(353\) | −1.13348 | − | 0.654413i | −0.0603288 | − | 0.0348309i | 0.469532 | − | 0.882915i | \(-0.344423\pi\) |
−0.529861 | + | 0.848084i | \(0.677756\pi\) | |||||||
\(354\) | −1.44674 | + | 2.50582i | −0.0768932 | + | 0.133183i | ||||
\(355\) | 4.14058 | + | 0.737912i | 0.219759 | + | 0.0391643i | ||||
\(356\) | 7.22563 | 0.382957 | ||||||||
\(357\) | 3.30596 | − | 1.90870i | 0.174970 | − | 0.101019i | ||||
\(358\) | 20.7956 | − | 12.0063i | 1.09908 | − | 0.634554i | ||||
\(359\) | −29.4082 | −1.55210 | −0.776051 | − | 0.630670i | \(-0.782780\pi\) | ||||
−0.776051 | + | 0.630670i | \(0.782780\pi\) | |||||||
\(360\) | 3.47600 | − | 19.5046i | 0.183201 | − | 1.02798i | ||||
\(361\) | −7.79249 | + | 13.4970i | −0.410131 | + | 0.710368i | ||||
\(362\) | 20.3834 | + | 11.7684i | 1.07133 | + | 0.618531i | ||||
\(363\) | − | 1.40162i | − | 0.0735661i | ||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −15.1534 | − | 12.7626i | −0.793168 | − | 0.668024i | ||||
\(366\) | 1.38536 | − | 2.39951i | 0.0724139 | − | 0.125425i | ||||
\(367\) | 28.9531 | + | 16.7161i | 1.51134 | + | 0.872573i | 0.999912 | + | 0.0132473i | \(0.00421687\pi\) |
0.511429 | + | 0.859326i | \(0.329116\pi\) | |||||||
\(368\) | −0.738559 | + | 0.426407i | −0.0385001 | + | 0.0222280i | ||||
\(369\) | −0.519941 | −0.0270671 | ||||||||
\(370\) | −14.2455 | − | 2.53875i | −0.740586 | − | 0.131983i | ||||
\(371\) | 2.46222 | + | 4.26469i | 0.127832 | + | 0.221412i | ||||
\(372\) | 0.240461i | 0.0124673i | ||||||||
\(373\) | 29.8589 | − | 17.2391i | 1.54604 | − | 0.892604i | 0.547598 | − | 0.836742i | \(-0.315542\pi\) |
0.998438 | − | 0.0558628i | \(-0.0177909\pi\) | |||||||
\(374\) | −12.5569 | + | 21.7492i | −0.649303 | + | 1.12463i | ||||
\(375\) | 1.91085 | + | 3.35206i | 0.0986757 | + | 0.173099i | ||||
\(376\) | −37.7691 | −1.94779 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 4.89075i | 0.251553i | ||||||||
\(379\) | 8.70225 | − | 15.0727i | 0.447004 | − | 0.774234i | −0.551185 | − | 0.834383i | \(-0.685824\pi\) |
0.998189 | + | 0.0601487i | \(0.0191575\pi\) | |||||||
\(380\) | −2.64130 | − | 7.29846i | −0.135496 | − | 0.374403i | ||||
\(381\) | 2.88273 | + | 4.99303i | 0.147687 | + | 0.255801i | ||||
\(382\) | − | 1.82586i | − | 0.0934191i | ||||||
\(383\) | 1.51271 | − | 0.873366i | 0.0772961 | − | 0.0446269i | −0.460854 | − | 0.887476i | \(-0.652457\pi\) |
0.538150 | + | 0.842849i | \(0.319123\pi\) | |||||||
\(384\) | −0.684939 | − | 1.18635i | −0.0349531 | − | 0.0605406i | ||||
\(385\) | −13.4711 | − | 11.3457i | −0.686553 | − | 0.578231i | ||||
\(386\) | −12.5876 | − | 21.8024i | −0.640692 | − | 1.10971i | ||||
\(387\) | −3.34155 | − | 1.92925i | −0.169861 | − | 0.0980692i | ||||
\(388\) | −2.96773 | − | 1.71342i | −0.150664 | − | 0.0869857i | ||||
\(389\) | −22.0435 | −1.11765 | −0.558826 | − | 0.829285i | \(-0.688748\pi\) | ||||
−0.558826 | + | 0.829285i | \(0.688748\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.88090 | 0.0951212 | ||||||||
\(392\) | 7.67311 | + | 4.43007i | 0.387550 | + | 0.223752i | ||||
\(393\) | 2.98874 | + | 1.72555i | 0.150762 | + | 0.0870425i | ||||
\(394\) | −5.49554 | − | 9.51855i | −0.276861 | − | 0.479538i | ||||
\(395\) | 16.1049 | − | 19.1219i | 0.810326 | − | 0.962127i | ||||
\(396\) | 3.29958 | + | 5.71504i | 0.165810 | + | 0.287192i | ||||
\(397\) | 19.5132 | − | 11.2660i | 0.979339 | − | 0.565422i | 0.0772687 | − | 0.997010i | \(-0.475380\pi\) |
0.902071 | + | 0.431588i | \(0.142047\pi\) | |||||||
\(398\) | − | 20.6649i | − | 1.03584i | ||||||
\(399\) | 2.05955 | + | 3.56725i | 0.103106 | + | 0.178586i | ||||
\(400\) | −11.5950 | − | 4.26837i | −0.579750 | − | 0.213418i | ||||
\(401\) | −1.85204 | + | 3.20782i | −0.0924863 | + | 0.160191i | −0.908557 | − | 0.417761i | \(-0.862815\pi\) |
0.816070 | + | 0.577953i | \(0.196148\pi\) | |||||||
\(402\) | − | 1.80468i | − | 0.0900091i | ||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | −3.50737 | −0.174498 | ||||||||
\(405\) | −6.04354 | − | 16.6995i | −0.300306 | − | 0.829807i | ||||
\(406\) | −3.61464 | + | 6.26074i | −0.179392 | + | 0.310715i | ||||
\(407\) | 18.3177 | − | 10.5757i | 0.907975 | − | 0.524220i | ||||
\(408\) | 5.78466i | 0.286384i | ||||||||
\(409\) | 6.74186 | + | 11.6772i | 0.333363 | + | 0.577402i | 0.983169 | − | 0.182698i | \(-0.0584831\pi\) |
−0.649806 | + | 0.760100i | \(0.725150\pi\) | |||||||
\(410\) | −0.0840695 | + | 0.471731i | −0.00415190 | + | 0.0232971i | ||||
\(411\) | −0.682580 | −0.0336692 | ||||||||
\(412\) | 3.28871 | − | 1.89874i | 0.162023 | − | 0.0935440i | ||||
\(413\) | −12.4114 | − | 7.16573i | −0.610726 | − | 0.352603i | ||||
\(414\) | −0.590239 | + | 1.02232i | −0.0290087 | + | 0.0502445i | ||||
\(415\) | −13.4008 | − | 11.2865i | −0.657821 | − | 0.554033i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 3.00260i | 0.147038i | ||||||||
\(418\) | −23.4682 | − | 13.5494i | −1.14787 | − | 0.662721i | ||||
\(419\) | 8.41159 | − | 14.5693i | 0.410933 | − | 0.711757i | −0.584059 | − | 0.811711i | \(-0.698536\pi\) |
0.994992 | + | 0.0999544i | \(0.0318697\pi\) | |||||||
\(420\) | −0.910086 | − | 0.162191i | −0.0444077 | − | 0.00791410i | ||||
\(421\) | −17.1013 | −0.833464 | −0.416732 | − | 0.909029i | \(-0.636825\pi\) | ||||
−0.416732 | + | 0.909029i | \(0.636825\pi\) | |||||||
\(422\) | 7.48753 | − | 4.32293i | 0.364487 | − | 0.210437i | ||||
\(423\) | −30.6396 | + | 17.6898i | −1.48975 | + | 0.860106i | ||||
\(424\) | −7.46222 | −0.362397 | ||||||||
\(425\) | 17.4399 | + | 20.9392i | 0.845959 | + | 1.01570i | ||||
\(426\) | 0.385359 | − | 0.667462i | 0.0186707 | − | 0.0323386i | ||||
\(427\) | 11.8849 | + | 6.86173i | 0.575149 | + | 0.332062i | ||||
\(428\) | 10.4349i | 0.504392i | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −2.29066 | + | 2.71978i | −0.110465 | + | 0.131159i | ||||
\(431\) | 4.83027 | − | 8.36627i | 0.232666 | − | 0.402989i | −0.725926 | − | 0.687773i | \(-0.758588\pi\) |
0.958592 | + | 0.284784i | \(0.0919218\pi\) | |||||||
\(432\) | −4.34339 | − | 2.50766i | −0.208972 | − | 0.120650i | ||||
\(433\) | −21.4538 | + | 12.3863i | −1.03100 | + | 0.595249i | −0.917272 | − | 0.398262i | \(-0.869613\pi\) |
−0.113730 | + | 0.993512i | \(0.536280\pi\) | |||||||
\(434\) | 2.84467 | 0.136549 | ||||||||
\(435\) | −0.406180 | + | 2.27916i | −0.0194748 | + | 0.109277i | ||||
\(436\) | −1.70042 | − | 2.94521i | −0.0814354 | − | 0.141050i | ||||
\(437\) | 2.02956i | 0.0970869i | ||||||||
\(438\) | −3.14414 | + | 1.81527i | −0.150233 | + | 0.0867369i | ||||
\(439\) | 3.53069 | − | 6.11533i | 0.168511 | − | 0.291869i | −0.769386 | − | 0.638784i | \(-0.779438\pi\) |
0.937896 | + | 0.346915i | \(0.112771\pi\) | |||||||
\(440\) | 25.0960 | − | 9.08221i | 1.19640 | − | 0.432977i | ||||
\(441\) | 8.29958 | 0.395218 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 38.2438i | 1.81702i | 0.417865 | + | 0.908509i | \(0.362778\pi\) | ||||
−0.417865 | + | 0.908509i | \(0.637222\pi\) | |||||||
\(444\) | 0.555090 | − | 0.961445i | 0.0263434 | − | 0.0456282i | ||||
\(445\) | −9.31523 | − | 25.7399i | −0.441584 | − | 1.22019i | ||||
\(446\) | 11.5569 | + | 20.0172i | 0.547236 | + | 0.947840i | ||||
\(447\) | − | 7.69707i | − | 0.364059i | ||||||
\(448\) | 15.4002 | − | 8.89128i | 0.727589 | − | 0.420074i | ||||
\(449\) | 6.24003 | + | 10.8080i | 0.294485 | + | 0.510063i | 0.974865 | − | 0.222796i | \(-0.0715185\pi\) |
−0.680380 | + | 0.732860i | \(0.738185\pi\) | |||||||
\(450\) | −16.8539 | + | 2.90822i | −0.794499 | + | 0.137095i | ||||
\(451\) | −0.350210 | − | 0.606582i | −0.0164908 | − | 0.0285628i | ||||
\(452\) | −2.43309 | − | 1.40475i | −0.114443 | − | 0.0660738i | ||||
\(453\) | 5.72721 | + | 3.30661i | 0.269088 | + | 0.155358i | ||||
\(454\) | −5.71300 | −0.268124 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −6.24186 | −0.292302 | ||||||||
\(457\) | 7.12930 | + | 4.11610i | 0.333495 | + | 0.192543i | 0.657392 | − | 0.753549i | \(-0.271660\pi\) |
−0.323897 | + | 0.946092i | \(0.604993\pi\) | |||||||
\(458\) | 1.56665 | + | 0.904508i | 0.0732050 | + | 0.0422649i | ||||
\(459\) | 5.53069 | + | 9.57943i | 0.258150 | + | 0.447130i | ||||
\(460\) | −0.348383 | − | 0.293416i | −0.0162434 | − | 0.0136806i | ||||
\(461\) | −2.27072 | − | 3.93300i | −0.105758 | − | 0.183178i | 0.808290 | − | 0.588785i | \(-0.200394\pi\) |
−0.914048 | + | 0.405607i | \(0.867060\pi\) | |||||||
\(462\) | −2.79508 | + | 1.61374i | −0.130039 | + | 0.0750780i | ||||
\(463\) | − | 1.98845i | − | 0.0924113i | −0.998932 | − | 0.0462056i | \(-0.985287\pi\) | ||
0.998932 | − | 0.0462056i | \(-0.0147130\pi\) | |||||||
\(464\) | −3.70671 | − | 6.42021i | −0.172080 | − | 0.298051i | ||||
\(465\) | 0.856594 | − | 0.310000i | 0.0397236 | − | 0.0143759i | ||||
\(466\) | −8.29066 | + | 14.3598i | −0.384057 | + | 0.665207i | ||||
\(467\) | − | 32.8043i | − | 1.51800i | −0.651091 | − | 0.759000i | \(-0.725688\pi\) | ||
0.651091 | − | 0.759000i | \(-0.274312\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 8.93862 | 0.412747 | ||||||||
\(470\) | 11.0954 | + | 30.6589i | 0.511793 | + | 1.41419i | ||||
\(471\) | 1.07030 | − | 1.85381i | 0.0493167 | − | 0.0854191i | ||||
\(472\) | 18.8076 | − | 10.8586i | 0.865689 | − | 0.499806i | ||||
\(473\) | − | 5.19783i | − | 0.238997i | ||||||
\(474\) | −2.29066 | − | 3.96754i | −0.105213 | − | 0.182235i | ||||
\(475\) | −22.5942 | + | 18.8183i | −1.03669 | + | 0.863441i | ||||
\(476\) | −6.52886 | −0.299250 | ||||||||
\(477\) | −6.05360 | + | 3.49505i | −0.277176 | + | 0.160027i | ||||
\(478\) | 4.11304 | + | 2.37467i | 0.188126 | + | 0.108615i | ||||
\(479\) | 15.4027 | − | 26.6782i | 0.703766 | − | 1.21896i | −0.263369 | − | 0.964695i | \(-0.584834\pi\) |
0.967135 | − | 0.254263i | \(-0.0818329\pi\) | |||||||
\(480\) | 1.59916 | − | 1.89874i | 0.0729913 | − | 0.0866650i | ||||
\(481\) | 0 | 0 | ||||||||
\(482\) | − | 20.7378i | − | 0.944582i | ||||||
\(483\) | 0.209337 | + | 0.120861i | 0.00952518 | + | 0.00549937i | ||||
\(484\) | −1.19859 | + | 2.07602i | −0.0544815 | + | 0.0943647i | ||||
\(485\) | −2.27774 | + | 12.7809i | −0.103427 | + | 0.580350i | ||||
\(486\) | −10.4837 | −0.475551 | ||||||||
\(487\) | 19.3341 | − | 11.1626i | 0.876113 | − | 0.505824i | 0.00673807 | − | 0.999977i | \(-0.497855\pi\) |
0.869375 | + | 0.494153i | \(0.164522\pi\) | |||||||
\(488\) | −18.0097 | + | 10.3979i | −0.815259 | + | 0.470690i | ||||
\(489\) | 4.11910 | 0.186272 | ||||||||
\(490\) | 1.34196 | − | 7.53002i | 0.0606236 | − | 0.340172i | ||||
\(491\) | −5.34129 | + | 9.25139i | −0.241049 | + | 0.417509i | −0.961013 | − | 0.276502i | \(-0.910825\pi\) |
0.719964 | + | 0.694011i | \(0.244158\pi\) | |||||||
\(492\) | −0.0318378 | − | 0.0183815i | −0.00143536 | − | 0.000828704i | ||||
\(493\) | 16.3504i | 0.736386i | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 16.1049 | − | 19.1219i | 0.723862 | − | 0.859466i | ||||
\(496\) | −1.45856 | + | 2.52631i | −0.0654914 | + | 0.113434i | ||||
\(497\) | 3.30596 | + | 1.90870i | 0.148292 | + | 0.0856167i | ||||
\(498\) | −2.78049 | + | 1.60532i | −0.124597 | + | 0.0719361i | ||||
\(499\) | 18.8195 | 0.842477 | 0.421239 | − | 0.906950i | \(-0.361595\pi\) | ||||
0.421239 | + | 0.906950i | \(0.361595\pi\) | |||||||
\(500\) | 0.0362348 | − | 6.59898i | 0.00162047 | − | 0.295115i | ||||
\(501\) | −0.350210 | − | 0.606582i | −0.0156462 | − | 0.0271001i | ||||
\(502\) | − | 11.0417i | − | 0.492815i | ||||||
\(503\) | 4.92013 | − | 2.84064i | 0.219378 | − | 0.126658i | −0.386284 | − | 0.922380i | \(-0.626242\pi\) |
0.605662 | + | 0.795722i | \(0.292908\pi\) | |||||||
\(504\) | 8.99108 | − | 15.5730i | 0.400495 | − | 0.693677i | ||||
\(505\) | 4.52168 | + | 12.4943i | 0.201212 | + | 0.555989i | ||||
\(506\) | −1.59024 | −0.0706948 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | − | 9.86062i | − | 0.437494i | ||||||
\(509\) | −13.9622 | + | 24.1833i | −0.618864 | + | 1.07190i | 0.370829 | + | 0.928701i | \(0.379074\pi\) |
−0.989693 | + | 0.143203i | \(0.954260\pi\) | |||||||
\(510\) | 4.69567 | − | 1.69936i | 0.207928 | − | 0.0752488i | ||||
\(511\) | −8.99108 | − | 15.5730i | −0.397742 | − | 0.688909i | ||||
\(512\) | 23.1492i | 1.02306i | ||||||||
\(513\) | −10.3365 | + | 5.96781i | −0.456370 | + | 0.263485i | ||||
\(514\) | −6.46485 | − | 11.1975i | −0.285152 | − | 0.493898i | ||||
\(515\) | −11.0037 | − | 9.26754i | −0.484879 | − | 0.408376i | ||||
\(516\) | −0.136410 | − | 0.236269i | −0.00600511 | − | 0.0104011i | ||||
\(517\) | −41.2750 | − | 23.8301i | −1.81527 | − | 1.04805i | ||||
\(518\) | −11.3740 | − | 6.56677i | −0.499744 | − | 0.288527i | ||||
\(519\) | −0.462218 | −0.0202891 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 6.29958 | 0.275990 | 0.137995 | − | 0.990433i | \(-0.455934\pi\) | ||||
0.137995 | + | 0.990433i | \(0.455934\pi\) | |||||||
\(522\) | −8.88695 | − | 5.13088i | −0.388971 | − | 0.224573i | ||||
\(523\) | 19.7948 | + | 11.4285i | 0.865567 | + | 0.499735i | 0.865873 | − | 0.500265i | \(-0.166764\pi\) |
−0.000305526 | 1.00000i | \(0.500097\pi\) | ||||||||
\(524\) | −2.95120 | − | 5.11162i | −0.128924 | − | 0.223302i | ||||
\(525\) | 0.595504 | + | 3.45110i | 0.0259899 | + | 0.150618i | ||||
\(526\) | −7.97925 | − | 13.8205i | −0.347912 | − | 0.602601i | ||||
\(527\) | 5.57182 | − | 3.21689i | 0.242712 | − | 0.140130i | ||||
\(528\) | − | 3.30969i | − | 0.144036i | ||||||
\(529\) | −11.4404 | − | 19.8154i | −0.497411 | − | 0.861541i | ||||
\(530\) | 2.19217 | + | 6.05742i | 0.0952219 | + | 0.263117i | ||||
\(531\) | 10.1716 | − | 17.6177i | 0.441408 | − | 0.764541i | ||||
\(532\) | − | 7.04487i | − | 0.305434i | ||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | −5.01623 | −0.217074 | ||||||||
\(535\) | 37.1725 | − | 13.4527i | 1.60711 | − | 0.581610i | ||||
\(536\) | −6.77255 | + | 11.7304i | −0.292529 | + | 0.506676i | ||||
\(537\) | 6.04443 | − | 3.48975i | 0.260837 | − | 0.150594i | ||||
\(538\) | 4.34628i | 0.187381i | ||||||||
\(539\) | 5.59024 | + | 9.68258i | 0.240789 | + | 0.417058i | ||||
\(540\) | 0.469969 | − | 2.63709i | 0.0202242 | − | 0.113482i | ||||
\(541\) | 9.48006 | 0.407580 | 0.203790 | − | 0.979015i | \(-0.434674\pi\) | ||||
0.203790 | + | 0.979015i | \(0.434674\pi\) | |||||||
\(542\) | 22.6255 | − | 13.0628i | 0.971848 | − | 0.561097i | ||||
\(543\) | 5.92463 | + | 3.42059i | 0.254250 | + | 0.146791i | ||||
\(544\) | 8.76626 | − | 15.1836i | 0.375850 | − | 0.650992i | ||||
\(545\) | −8.29958 | + | 9.85437i | −0.355515 | + | 0.422115i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 33.3911i | 1.42770i | 0.700299 | + | 0.713850i | \(0.253050\pi\) | ||||
−0.700299 | + | 0.713850i | \(0.746950\pi\) | |||||||
\(548\) | 1.01101 | + | 0.583706i | 0.0431882 | + | 0.0249347i | ||||
\(549\) | −9.74003 | + | 16.8702i | −0.415694 | + | 0.720004i | ||||
\(550\) | −14.7449 | − | 17.7035i | −0.628723 | − | 0.754878i | ||||
\(551\) | −17.6427 | −0.751604 | ||||||||
\(552\) | −0.317218 | + | 0.183146i | −0.0135017 | + | 0.00779521i | ||||
\(553\) | 19.6513 | − | 11.3457i | 0.835660 | − | 0.482469i | ||||
\(554\) | 11.7492 | 0.499177 | ||||||||
\(555\) | −4.14058 | − | 0.737912i | −0.175758 | − | 0.0313226i | ||||
\(556\) | 2.56767 | − | 4.44733i | 0.108893 | − | 0.188609i | ||||
\(557\) | −32.7053 | − | 18.8824i | −1.38577 | − | 0.800073i | −0.392932 | − | 0.919567i | \(-0.628539\pi\) |
−0.992835 | + | 0.119495i | \(0.961873\pi\) | |||||||
\(558\) | 4.03793i | 0.170939i | ||||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | −8.57766 | − | 7.22431i | −0.362472 | − | 0.305283i | ||||
\(561\) | −3.64979 | + | 6.32162i | −0.154094 | + | 0.266899i | ||||
\(562\) | −4.17616 | − | 2.41110i | −0.176161 | − | 0.101706i | ||||
\(563\) | −22.4307 | + | 12.9504i | −0.945343 | + | 0.545794i | −0.891631 | − | 0.452762i | \(-0.850439\pi\) |
−0.0537120 | + | 0.998556i | \(0.517105\pi\) | |||||||
\(564\) | −2.50155 | −0.105334 | ||||||||
\(565\) | −1.86741 | + | 10.4784i | −0.0785625 | + | 0.440830i | ||||
\(566\) | −3.61464 | − | 6.26074i | −0.151935 | − | 0.263159i | ||||
\(567\) | − | 16.1193i | − | 0.676947i | ||||||
\(568\) | −5.00967 | + | 2.89233i | −0.210201 | + | 0.121360i | ||||
\(569\) | −10.7725 | + | 18.6586i | −0.451609 | + | 0.782209i | −0.998486 | − | 0.0550035i | \(-0.982483\pi\) |
0.546878 | + | 0.837213i | \(0.315816\pi\) | |||||||
\(570\) | 1.83367 | + | 5.06679i | 0.0768038 | + | 0.212225i | ||||
\(571\) | −2.22036 | −0.0929192 | −0.0464596 | − | 0.998920i | \(-0.514794\pi\) | ||||
−0.0464596 | + | 0.998920i | \(0.514794\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | − | 0.530704i | − | 0.0221705i | ||||||
\(574\) | −0.217455 | + | 0.376644i | −0.00907641 | + | 0.0157208i | ||||
\(575\) | −0.596104 | + | 1.61932i | −0.0248593 | + | 0.0675301i | ||||
\(576\) | 12.6209 | + | 21.8601i | 0.525872 | + | 0.910837i | ||||
\(577\) | − | 6.20265i | − | 0.258220i | −0.991630 | − | 0.129110i | \(-0.958788\pi\) | ||
0.991630 | − | 0.129110i | \(-0.0412120\pi\) | |||||||
\(578\) | 13.0631 | − | 7.54199i | 0.543353 | − | 0.313705i | ||||
\(579\) | −3.65871 | − | 6.33707i | −0.152051 | − | 0.263360i | ||||
\(580\) | 2.55063 | − | 3.02845i | 0.105909 | − | 0.125749i | ||||
\(581\) | −7.95120 | − | 13.7719i | −0.329871 | − | 0.571354i | ||||
\(582\) | 2.06028 | + | 1.18950i | 0.0854014 | + | 0.0493065i | ||||
\(583\) | −8.15489 | − | 4.70823i | −0.337741 | − | 0.194995i | ||||
\(584\) | 27.2492 | 1.12758 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −11.6265 | −0.480285 | ||||||||
\(587\) | 1.58391 | + | 0.914469i | 0.0653748 | + | 0.0377442i | 0.532331 | − | 0.846536i | \(-0.321316\pi\) |
−0.466956 | + | 0.884280i | \(0.654649\pi\) | |||||||
\(588\) | 0.508211 | + | 0.293416i | 0.0209583 | + | 0.0121003i | ||||
\(589\) | 3.47114 | + | 6.01219i | 0.143026 | + | 0.247728i | ||||
\(590\) | −14.3395 | − | 12.0770i | −0.590346 | − | 0.497204i | ||||
\(591\) | −1.59733 | − | 2.76666i | −0.0657055 | − | 0.113805i | ||||
\(592\) | 11.6637 | − | 6.73403i | 0.479374 | − | 0.276767i | ||||
\(593\) | 0.0728761i | 0.00299266i | 0.999999 | + | 0.00149633i | \(0.000476297\pi\) | ||||
−0.999999 | + | 0.00149633i | \(0.999524\pi\) | |||||||
\(594\) | −4.67602 | − | 8.09910i | −0.191859 | − | 0.332310i | ||||
\(595\) | 8.41697 | + | 23.2578i | 0.345062 | + | 0.953477i | ||||
\(596\) | −6.58212 | + | 11.4006i | −0.269614 | + | 0.466986i | ||||
\(597\) | − | 6.00646i | − | 0.245828i | ||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 14.5813 | 0.595777 | 0.297888 | − | 0.954601i | \(-0.403718\pi\) | ||||
0.297888 | + | 0.954601i | \(0.403718\pi\) | |||||||
\(600\) | −4.98017 | − | 1.83331i | −0.203314 | − | 0.0748444i | ||||
\(601\) | 22.2041 | − | 38.4586i | 0.905723 | − | 1.56876i | 0.0857795 | − | 0.996314i | \(-0.472662\pi\) |
0.819944 | − | 0.572444i | \(-0.194005\pi\) | |||||||
\(602\) | −2.79508 | + | 1.61374i | −0.113919 | + | 0.0657712i | ||||
\(603\) | 12.6881i | 0.516700i | ||||||||
\(604\) | −5.65527 | − | 9.79522i | −0.230110 | − | 0.398562i | ||||
\(605\) | 8.94065 | + | 1.59336i | 0.363489 | + | 0.0647791i | ||||
\(606\) | 2.43491 | 0.0989115 | ||||||||
\(607\) | −31.3808 | + | 18.1177i | −1.27371 | + | 0.735375i | −0.975684 | − | 0.219183i | \(-0.929661\pi\) |
−0.298024 | + | 0.954558i | \(0.596328\pi\) | |||||||
\(608\) | 16.3836 | + | 9.45910i | 0.664445 | + | 0.383617i | ||||
\(609\) | −1.05063 | + | 1.81975i | −0.0425737 | + | 0.0737398i | ||||
\(610\) | 13.7311 | + | 11.5647i | 0.555956 | + | 0.468239i | ||||
\(611\) | 0 | 0 | ||||||||
\(612\) | − | 9.26754i | − | 0.374618i | ||||||
\(613\) | 2.90838 | + | 1.67915i | 0.117468 | + | 0.0678203i | 0.557583 | − | 0.830121i | \(-0.311729\pi\) |
−0.440115 | + | 0.897942i | \(0.645062\pi\) | |||||||
\(614\) | −13.1228 | + | 22.7293i | −0.529591 | + | 0.917279i | ||||
\(615\) | −0.0244356 | + | 0.137113i | −0.000985339 | + | 0.00552894i | ||||
\(616\) | 24.2240 | 0.976013 | ||||||||
\(617\) | −18.3441 | + | 10.5910i | −0.738507 | + | 0.426377i | −0.821526 | − | 0.570171i | \(-0.806877\pi\) |
0.0830194 | + | 0.996548i | \(0.473544\pi\) | |||||||
\(618\) | −2.28311 | + | 1.31815i | −0.0918402 | + | 0.0530240i | ||||
\(619\) | 25.4082 | 1.02124 | 0.510620 | − | 0.859807i | \(-0.329416\pi\) | ||||
0.510620 | + | 0.859807i | \(0.329416\pi\) | |||||||
\(620\) | −1.53385 | − | 0.273354i | −0.0616008 | − | 0.0109782i | ||||
\(621\) | −0.350210 | + | 0.606582i | −0.0140534 | + | 0.0243413i | ||||
\(622\) | 7.85493 | + | 4.53504i | 0.314954 | + | 0.181839i | ||||
\(623\) | − | 24.8455i | − | 0.995416i | ||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −23.5543 | + | 8.37828i | −0.942171 | + | 0.335131i | ||||
\(626\) | 15.5199 | − | 26.8813i | 0.620302 | − | 1.07439i | ||||
\(627\) | −6.82125 | − | 3.93825i | −0.272415 | − | 0.157279i | ||||
\(628\) | −3.17056 | + | 1.83052i | −0.126519 | + | 0.0730459i | ||||
\(629\) | −29.7041 | −1.18438 | ||||||||
\(630\) | −15.2826 | − | 2.72359i | −0.608874 | − | 0.108510i | ||||
\(631\) | 21.7725 | + | 37.7112i | 0.866751 | + | 1.50126i | 0.865298 | + | 0.501258i | \(0.167129\pi\) |
0.00145375 | + | 0.999999i | \(0.499537\pi\) | |||||||
\(632\) | 34.3853i | 1.36777i | ||||||||
\(633\) | 2.17632 | − | 1.25650i | 0.0865011 | − | 0.0499414i | ||||
\(634\) | 7.03069 | − | 12.1775i | 0.279224 | − | 0.483631i | ||||
\(635\) | −35.1265 | + | 12.7123i | −1.39395 | + | 0.504470i | ||||
\(636\) | −0.494244 | −0.0195980 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | − | 13.8238i | − | 0.547288i | ||||||
\(639\) | −2.70934 | + | 4.69272i | −0.107180 | + | 0.185641i | ||||
\(640\) | 8.34610 | − | 3.02044i | 0.329909 | − | 0.119394i | ||||
\(641\) | −24.1427 | − | 41.8164i | −0.953579 | − | 1.65165i | −0.737586 | − | 0.675253i | \(-0.764035\pi\) |
−0.215993 | − | 0.976395i | \(-0.569299\pi\) | |||||||
\(642\) | − | 7.24423i | − | 0.285907i | ||||||
\(643\) | −36.6710 | + | 21.1720i | −1.44616 | + | 0.834943i | −0.998250 | − | 0.0591344i | \(-0.981166\pi\) |
−0.447913 | + | 0.894077i | \(0.647833\pi\) | |||||||
\(644\) | −0.206708 | − | 0.358028i | −0.00814543 | − | 0.0141083i | ||||
\(645\) | −0.665802 | + | 0.790529i | −0.0262159 | + | 0.0311271i | ||||
\(646\) | 19.0281 | + | 32.9576i | 0.748649 | + | 1.29670i | ||||
\(647\) | 29.7958 | + | 17.2026i | 1.17139 | + | 0.676305i | 0.954008 | − | 0.299781i | \(-0.0969136\pi\) |
0.217386 | + | 0.976086i | \(0.430247\pi\) | |||||||
\(648\) | 21.1538 | + | 12.2131i | 0.830999 | + | 0.479778i | ||||
\(649\) | 27.4045 | 1.07572 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0.826831 | 0.0324061 | ||||||||
\(652\) | −6.10104 | − | 3.52244i | −0.238935 | − | 0.137949i | ||||
\(653\) | −12.4114 | − | 7.16573i | −0.485696 | − | 0.280417i | 0.237091 | − | 0.971487i | \(-0.423806\pi\) |
−0.722787 | + | 0.691071i | \(0.757139\pi\) | |||||||
\(654\) | 1.18048 | + | 2.04465i | 0.0461604 | + | 0.0799521i | ||||
\(655\) | −14.4045 | + | 17.1029i | −0.562830 | + | 0.668267i | ||||
\(656\) | −0.222994 | − | 0.386237i | −0.00870646 | − | 0.0150800i | ||||
\(657\) | 22.1054 | − | 12.7626i | 0.862416 | − | 0.497916i | ||||
\(658\) | 29.5936i | 1.15368i | ||||||||
\(659\) | 11.4116 | + | 19.7655i | 0.444532 | + | 0.769953i | 0.998020 | − | 0.0629051i | \(-0.0200365\pi\) |
−0.553487 | + | 0.832858i | \(0.686703\pi\) | |||||||
\(660\) | 1.66218 | − | 0.601540i | 0.0647002 | − | 0.0234149i | ||||
\(661\) | 7.20934 | − | 12.4869i | 0.280411 | − | 0.485686i | −0.691075 | − | 0.722783i | \(-0.742863\pi\) |
0.971486 | + | 0.237097i | \(0.0761960\pi\) | |||||||
\(662\) | − | 15.0796i | − | 0.586087i | ||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 24.0976 | 0.935168 | ||||||||
\(665\) | −25.0960 | + | 9.08221i | −0.973181 | + | 0.352193i | ||||
\(666\) | 9.32135 | − | 16.1450i | 0.361195 | − | 0.625608i | ||||
\(667\) | −0.896622 | + | 0.517665i | −0.0347173 | + | 0.0200441i | ||||
\(668\) | 1.19792i | 0.0463491i | ||||||||
\(669\) | 3.35913 | + | 5.81818i | 0.129871 | + | 0.224944i | ||||
\(670\) | 11.5117 | + | 2.05155i | 0.444734 | + | 0.0792582i | ||||
\(671\) | −26.2419 | −1.01306 | ||||||||
\(672\) | 1.95131 | − | 1.12659i | 0.0752733 | − | 0.0434591i | ||||
\(673\) | −29.5956 | − | 17.0871i | −1.14083 | − | 0.658657i | −0.194193 | − | 0.980963i | \(-0.562209\pi\) |
−0.946636 | + | 0.322306i | \(0.895542\pi\) | |||||||
\(674\) | 9.07949 | − | 15.7261i | 0.349729 | − | 0.605748i | ||||
\(675\) | −10.0000 | + | 1.72555i | −0.384900 | + | 0.0664164i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 5.84695i | 0.224716i | 0.993668 | + | 0.112358i | \(0.0358404\pi\) | ||||
−0.993668 | + | 0.112358i | \(0.964160\pi\) | |||||||
\(678\) | 1.68912 | + | 0.975215i | 0.0648703 | + | 0.0374529i | ||||
\(679\) | −5.89165 | + | 10.2046i | −0.226101 | + | 0.391618i | ||||
\(680\) | −36.8991 | − | 6.57597i | −1.41502 | − | 0.252177i | ||||
\(681\) | −1.66054 | −0.0636319 | ||||||||
\(682\) | −4.71079 | + | 2.71978i | −0.180386 | + | 0.104146i | ||||
\(683\) | −9.82834 | + | 5.67439i | −0.376071 | + | 0.217125i | −0.676107 | − | 0.736803i | \(-0.736334\pi\) |
0.300036 | + | 0.953928i | \(0.403001\pi\) | |||||||
\(684\) | 10.0000 | 0.382360 | ||||||||
\(685\) | 0.775953 | − | 4.35403i | 0.0296476 | − | 0.166359i | ||||
\(686\) | 11.9053 | − | 20.6206i | 0.454546 | − | 0.787298i | ||||
\(687\) | 0.455363 | + | 0.262904i | 0.0173732 | + | 0.0100304i | ||||
\(688\) | − | 3.30969i | − | 0.126181i | ||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 0.241857 | + | 0.203698i | 0.00920733 | + | 0.00775463i | ||||
\(691\) | −9.41159 | + | 16.3013i | −0.358034 | + | 0.620133i | −0.987632 | − | 0.156788i | \(-0.949886\pi\) |
0.629599 | + | 0.776921i | \(0.283219\pi\) | |||||||
\(692\) | 0.684619 | + | 0.395265i | 0.0260253 | + | 0.0150257i | ||||
\(693\) | 19.6513 | − | 11.3457i | 0.746493 | − | 0.430988i | ||||
\(694\) | 14.5325 | 0.551647 | ||||||||
\(695\) | −19.1530 | − | 3.41334i | −0.726513 | − | 0.129475i | ||||
\(696\) | −1.59207 | − | 2.75754i | −0.0603471 | − | 0.104524i | ||||
\(697\) | 0.983636i | 0.0372579i | ||||||||
\(698\) | −19.2289 | + | 11.1018i | −0.727825 | + | 0.420210i | ||||
\(699\) | −2.40976 | + | 4.17383i | −0.0911455 | + | 0.157869i | ||||
\(700\) | 2.06916 | − | 5.62087i | 0.0782069 | − | 0.212449i | ||||
\(701\) | 19.1626 | 0.723763 | 0.361881 | − | 0.932224i | \(-0.382135\pi\) | ||||
0.361881 | + | 0.932224i | \(0.382135\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 32.0518i | − | 1.20885i | ||||||
\(704\) | −17.0018 | + | 29.4480i | −0.640780 | + | 1.10986i | ||||
\(705\) | 3.22499 | + | 8.91130i | 0.121460 | + | 0.335619i | ||||
\(706\) | −0.777006 | − | 1.34581i | −0.0292430 | − | 0.0506504i | ||||
\(707\) | 12.0602i | 0.453570i | ||||||||
\(708\) | 1.24568 | − | 0.719193i | 0.0468154 | − | 0.0270289i | ||||
\(709\) | −11.7419 | − | 20.3375i | −0.440975 | − | 0.763791i | 0.556787 | − | 0.830655i | \(-0.312034\pi\) |
−0.997762 | + | 0.0668645i | \(0.978700\pi\) | |||||||
\(710\) | 3.81952 | + | 3.21689i | 0.143344 | + | 0.120728i | ||||
\(711\) | 16.1049 | + | 27.8945i | 0.603982 | + | 1.04613i | ||||
\(712\) | 32.6055 | + | 18.8248i | 1.22194 | + | 0.705488i | ||||
\(713\) | 0.352814 | + | 0.203698i | 0.0132130 | + | 0.00762853i | ||||
\(714\) | 4.53252 | 0.169625 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −11.9370 | −0.446107 | ||||||||
\(717\) | 1.19550 | + | 0.690220i | 0.0446466 | + | 0.0257767i | ||||
\(718\) | −30.2393 | − | 17.4586i | −1.12852 | − | 0.651551i | ||||
\(719\) | −7.05429 | − | 12.2184i | −0.263080 | − | 0.455669i | 0.703978 | − | 0.710221i | \(-0.251405\pi\) |
−0.967059 | + | 0.254553i | \(0.918072\pi\) | |||||||
\(720\) | 10.2547 | − | 12.1758i | 0.382170 | − | 0.453764i | ||||
\(721\) | −6.52886 | − | 11.3083i | −0.243148 | − | 0.421144i | ||||
\(722\) | −16.0254 | + | 9.25228i | −0.596404 | + | 0.344334i | ||||
\(723\) | − | 6.02765i | − | 0.224171i | ||||||
\(724\) | −5.85021 | − | 10.1329i | −0.217421 | − | 0.376585i | ||||
\(725\) | −14.0765 | − | 5.18187i | −0.522789 | − | 0.192450i | ||||
\(726\) | 0.832096 | − | 1.44123i | 0.0308820 | − | 0.0534892i | ||||
\(727\) | 25.3762i | 0.941153i | 0.882359 | + | 0.470576i | \(0.155954\pi\) | ||||
−0.882359 | + | 0.470576i | \(0.844046\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 20.7796 | 0.769616 | ||||||||
\(730\) | −8.00497 | − | 22.1194i | −0.296277 | − | 0.818674i | ||||
\(731\) | −3.64979 | + | 6.32162i | −0.134992 | + | 0.233814i | ||||
\(732\) | −1.19283 | + | 0.688681i | −0.0440883 | + | 0.0254544i | ||||
\(733\) | − | 10.6692i | − | 0.394074i | −0.980396 | − | 0.197037i | \(-0.936868\pi\) | ||
0.980396 | − | 0.197037i | \(-0.0631320\pi\) | |||||||
\(734\) | 19.8476 | + | 34.3770i | 0.732587 | + | 1.26888i | ||||
\(735\) | 0.390054 | − | 2.18867i | 0.0143874 | − | 0.0807305i | ||||
\(736\) | 1.11018 | 0.0409218 | ||||||||
\(737\) | −14.8024 | + | 8.54617i | −0.545254 | + | 0.314802i | ||||
\(738\) | −0.534635 | − | 0.308672i | −0.0196802 | − | 0.0113624i | ||||
\(739\) | 0.707513 | − | 1.22545i | 0.0260263 | − | 0.0450788i | −0.852719 | − | 0.522370i | \(-0.825048\pi\) |
0.878745 | + | 0.477291i | \(0.158381\pi\) | |||||||
\(740\) | 5.50183 | + | 4.63377i | 0.202251 | + | 0.170341i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 5.84695i | 0.214648i | ||||||||
\(743\) | 25.8748 | + | 14.9389i | 0.949256 | + | 0.548053i | 0.892850 | − | 0.450355i | \(-0.148702\pi\) |
0.0564064 | + | 0.998408i | \(0.482036\pi\) | |||||||
\(744\) | −0.626467 | + | 1.08507i | −0.0229674 | + | 0.0397807i | ||||
\(745\) | 49.0980 | + | 8.74998i | 1.79881 | + | 0.320575i | ||||
\(746\) | 40.9370 | 1.49881 | ||||||||
\(747\) | 19.5488 | − | 11.2865i | 0.715253 | − | 0.412952i | ||||
\(748\) | 10.8118 | − | 6.24221i | 0.395320 | − | 0.228238i | ||||
\(749\) | 35.8809 | 1.31106 | ||||||||
\(750\) | −0.0251552 | + | 4.58119i | −0.000918538 | + | 0.167282i | ||||
\(751\) | 9.99291 | − | 17.3082i | 0.364646 | − | 0.631586i | −0.624073 | − | 0.781366i | \(-0.714523\pi\) |
0.988719 | + | 0.149780i | \(0.0478565\pi\) | |||||||
\(752\) | −26.2816 | − | 15.1737i | −0.958391 | − | 0.553328i | ||||
\(753\) | − | 3.20938i | − | 0.116956i | ||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −27.6028 | + | 32.7737i | −1.00457 | + | 1.19276i | ||||
\(756\) | 1.21563 | − | 2.10553i | 0.0442120 | − | 0.0765774i | ||||
\(757\) | 14.8024 | + | 8.54617i | 0.538003 | + | 0.310616i | 0.744269 | − | 0.667880i | \(-0.232798\pi\) |
−0.206266 | + | 0.978496i | \(0.566131\pi\) | |||||||
\(758\) | 17.8964 | − | 10.3325i | 0.650025 | − | 0.375292i | ||||
\(759\) | −0.462218 | −0.0167775 | ||||||||
\(760\) | 7.09571 | − | 39.8155i | 0.257388 | − | 1.44426i | ||||
\(761\) | −21.1120 | − | 36.5671i | −0.765310 | − | 1.32556i | −0.940083 | − | 0.340947i | \(-0.889252\pi\) |
0.174773 | − | 0.984609i | \(-0.444081\pi\) | |||||||
\(762\) | 6.84552i | 0.247987i | ||||||||
\(763\) | −10.1272 | + | 5.84695i | −0.366630 | + | 0.211674i | ||||
\(764\) | −0.453830 | + | 0.786056i | −0.0164190 | + | 0.0284385i | ||||
\(765\) | −33.0138 | + | 11.9477i | −1.19362 | + | 0.431968i | ||||
\(766\) | 2.07395 | 0.0749350 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 4.42107i | 0.159531i | ||||||||
\(769\) | 11.8827 | − | 20.5815i | 0.428502 | − | 0.742187i | −0.568238 | − | 0.822864i | \(-0.692375\pi\) |
0.996740 | + | 0.0806767i | \(0.0257081\pi\) | |||||||
\(770\) | −7.11628 | − | 19.6637i | −0.256453 | − | 0.708631i | ||||
\(771\) | −1.87907 | − | 3.25465i | −0.0676731 | − | 0.117213i | ||||
\(772\) | 12.5149i | 0.450422i | ||||||||
\(773\) | −0.246026 | + | 0.142043i | −0.00884894 | + | 0.00510894i | −0.504418 | − | 0.863460i | \(-0.668293\pi\) |
0.495569 | + | 0.868569i | \(0.334960\pi\) | |||||||
\(774\) | −2.29066 | − | 3.96754i | −0.0823361 | − | 0.142610i | ||||
\(775\) | 1.00366 | + | 5.81644i | 0.0360524 | + | 0.208933i | ||||
\(776\) | −8.92787 | − | 15.4635i | −0.320492 | − | 0.555108i | ||||
\(777\) | −3.30596 | − | 1.90870i | −0.118601 | − | 0.0684741i | ||||
\(778\) | −22.6665 | − | 13.0865i | −0.812634 | − | 0.469174i | ||||
\(779\) | −1.06138 | −0.0380278 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −7.29958 | −0.261199 | ||||||||
\(782\) | 1.93405 | + | 1.11663i | 0.0691617 | + | 0.0399305i | ||||
\(783\) | −5.27294 | − | 3.04434i | −0.188440 | − | 0.108796i | ||||
\(784\) | 3.55955 | + | 6.16532i | 0.127127 | + | 0.220190i | ||||
\(785\) | 10.6084 | + | 8.93460i | 0.378628 | + | 0.318890i | ||||
\(786\) | 2.04880 | + | 3.54863i | 0.0730784 | + | 0.126575i | ||||
\(787\) | −20.9008 | + | 12.0671i | −0.745032 | + | 0.430145i | −0.823896 | − | 0.566741i | \(-0.808204\pi\) |
0.0788638 | + | 0.996885i | \(0.474871\pi\) | |||||||
\(788\) | 5.46381i | 0.194640i | ||||||||
\(789\) | −2.31925 | − | 4.01705i | −0.0825674 | − | 0.143011i | ||||
\(790\) | 27.9121 | − | 10.1014i | 0.993068 | − | 0.359390i | ||||
\(791\) | −4.83027 | + | 8.36627i | −0.171745 | + | 0.297470i | ||||
\(792\) | 34.3853i | 1.22183i | ||||||||
\(793\) | 0 | 0 | ||||||||
\(794\) | 26.7529 | 0.949424 | ||||||||
\(795\) | 0.637176 | + | 1.76065i | 0.0225983 | + | 0.0624437i | ||||
\(796\) | −5.13641 | + | 8.89652i | −0.182055 | + | 0.315329i | ||||
\(797\) | −29.7430 | + | 17.1721i | −1.05355 | + | 0.608267i | −0.923641 | − | 0.383259i | \(-0.874802\pi\) |
−0.129909 | + | 0.991526i | \(0.541468\pi\) | |||||||
\(798\) | 4.89075i | 0.173131i | ||||||||
\(799\) | 33.4659 | + | 57.9646i | 1.18394 | + | 2.05064i | ||||
\(800\) | 10.2937 | + | 12.3592i | 0.363938 | + | 0.436963i | ||||
\(801\) | 35.2676 | 1.24612 | ||||||||
\(802\) | −3.80876 | + | 2.19899i | −0.134492 | + | 0.0776489i | ||||
\(803\) | 29.7786 | + | 17.1927i | 1.05086 | + | 0.606716i | ||||
\(804\) | −0.448565 | + | 0.776937i | −0.0158197 | + | 0.0274004i | ||||
\(805\) | −1.00892 | + | 1.19792i | −0.0355598 | + | 0.0422213i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 1.26329i | 0.0444698i | ||||||||
\(808\) | −15.8269 | − | 9.13767i | −0.556789 | − | 0.321462i | ||||
\(809\) | −23.8431 | + | 41.2975i | −0.838279 | + | 1.45194i | 0.0530528 | + | 0.998592i | \(0.483105\pi\) |
−0.891332 | + | 0.453351i | \(0.850229\pi\) | |||||||
\(810\) | 3.69962 | − | 20.7593i | 0.129991 | − | 0.729408i | ||||
\(811\) | −24.5992 | −0.863793 | −0.431897 | − | 0.901923i | \(-0.642155\pi\) | ||||
−0.431897 | + | 0.901923i | \(0.642155\pi\) | |||||||
\(812\) | 3.11230 | − | 1.79689i | 0.109220 | − | 0.0630584i | ||||
\(813\) | 6.57632 | − | 3.79684i | 0.230642 | − | 0.133161i | ||||
\(814\) | 25.1138 | 0.880239 | ||||||||
\(815\) | −4.68257 | + | 26.2749i | −0.164023 | + | 0.920368i | ||||
\(816\) | −2.32398 | + | 4.02525i | −0.0813556 | + | 0.140912i | ||||
\(817\) | −6.82125 | − | 3.93825i | −0.238645 | − | 0.137782i | ||||
\(818\) | 16.0097i | 0.559765i | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0.153445 | − | 0.182190i | 0.00535853 | − | 0.00636236i | ||||
\(821\) | 8.64979 | − | 14.9819i | 0.301880 | − | 0.522871i | −0.674682 | − | 0.738109i | \(-0.735719\pi\) |
0.976562 | + | 0.215237i | \(0.0690526\pi\) | |||||||
\(822\) | −0.701870 | − | 0.405225i | −0.0244805 | − | 0.0141338i | ||||
\(823\) | 28.2000 | − | 16.2813i | 0.982990 | − | 0.567529i | 0.0798182 | − | 0.996809i | \(-0.474566\pi\) |
0.903171 | + | 0.429280i | \(0.141233\pi\) | |||||||
\(824\) | 19.7869 | 0.689311 | ||||||||
\(825\) | −4.28574 | − | 5.14568i | −0.149210 | − | 0.179150i | ||||
\(826\) | −8.50812 | − | 14.7365i | −0.296035 | − | 0.512748i | ||||
\(827\) | 15.4702i | 0.537951i | 0.963147 | + | 0.268976i | \(0.0866851\pi\) | ||||
−0.963147 | + | 0.268976i | \(0.913315\pi\) | |||||||
\(828\) | 0.508211 | − | 0.293416i | 0.0176616 | − | 0.0101969i | ||||
\(829\) | −7.26180 | + | 12.5778i | −0.252213 | + | 0.436845i | −0.964135 | − | 0.265413i | \(-0.914492\pi\) |
0.711922 | + | 0.702258i | \(0.247825\pi\) | |||||||
\(830\) | −7.07914 | − | 19.5611i | −0.245721 | − | 0.678976i | ||||
\(831\) | 3.41503 | 0.118466 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | − | 15.7013i | − | 0.544018i | ||||||
\(834\) | −1.78254 | + | 3.08746i | −0.0617245 | + | 0.106910i | ||||
\(835\) | 4.26737 | − | 1.54436i | 0.147679 | − | 0.0534447i | ||||
\(836\) | 6.73557 | + | 11.6663i | 0.232955 | + | 0.403489i | ||||
\(837\) | 2.39585i | 0.0828127i | ||||||||
\(838\) | 17.2986 | − | 9.98736i | 0.597571 | − | 0.345008i | ||||
\(839\) | −0.407933 | − | 0.706561i | −0.0140834 | − | 0.0243932i | 0.858898 | − | 0.512147i | \(-0.171150\pi\) |
−0.872981 | + | 0.487754i | \(0.837816\pi\) | |||||||
\(840\) | −3.68419 | − | 3.10291i | −0.127117 | − | 0.107061i | ||||
\(841\) | 10.0000 | + | 17.3205i | 0.344828 | + | 0.597259i | ||||
\(842\) | −17.5846 | − | 10.1524i | −0.606004 | − | 0.349876i | ||||
\(843\) | −1.21384 | − | 0.700811i | −0.0418069 | − | 0.0241372i | ||||
\(844\) | −4.29797 | −0.147942 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −42.0073 | −1.44424 | ||||||||
\(847\) | 7.13847 | + | 4.12140i | 0.245281 | + | 0.141613i | ||||
\(848\) | −5.19258 | − | 2.99794i | −0.178314 | − | 0.102950i | ||||
\(849\) | −1.05063 | − | 1.81975i | −0.0360575 | − | 0.0624535i | ||||
\(850\) | 5.50183 | + | 31.8845i | 0.188711 | + | 1.09363i | ||||
\(851\) | −0.940450 | − | 1.62891i | −0.0322382 | − | 0.0558382i | ||||
\(852\) | −0.331804 | + | 0.191567i | −0.0113674 | + | 0.00656299i | ||||
\(853\) | 20.0856i | 0.687719i | 0.939021 | + | 0.343859i | \(0.111734\pi\) | ||||
−0.939021 | + | 0.343859i | \(0.888266\pi\) | |||||||
\(854\) | 8.14716 | + | 14.1113i | 0.278790 | + | 0.482878i | ||||
\(855\) | −12.8919 | − | 35.6230i | −0.440895 | − | 1.21828i | ||||
\(856\) | −27.1860 | + | 47.0875i | −0.929197 | + | 1.60942i | ||||
\(857\) | 40.7886i | 1.39331i | 0.717406 | + | 0.696656i | \(0.245329\pi\) | ||||
−0.717406 | + | 0.696656i | \(0.754671\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 40.1301 | 1.36922 | 0.684610 | − | 0.728909i | \(-0.259972\pi\) | ||||
0.684610 | + | 0.728909i | \(0.259972\pi\) | |||||||
\(860\) | 1.66218 | − | 0.601540i | 0.0566798 | − | 0.0205123i | ||||
\(861\) | −0.0632055 | + | 0.109475i | −0.00215404 | + | 0.00373090i | ||||
\(862\) | 9.93355 | − | 5.73514i | 0.338338 | − | 0.195340i | ||||
\(863\) | − | 20.8275i | − | 0.708977i | −0.935060 | − | 0.354489i | \(-0.884655\pi\) | ||
0.935060 | − | 0.354489i | \(-0.115345\pi\) | |||||||
\(864\) | 3.26443 | + | 5.65416i | 0.111058 | + | 0.192358i | ||||
\(865\) | 0.525447 | − | 2.94839i | 0.0178657 | − | 0.100248i | ||||
\(866\) | −29.4134 | −0.999509 | ||||||||
\(867\) | 3.79692 | − | 2.19215i | 0.128950 | − | 0.0744494i | ||||
\(868\) | −1.22467 | − | 0.707062i | −0.0415679 | − | 0.0239993i | ||||
\(869\) | −21.6952 | + | 37.5771i | −0.735958 | + | 1.27472i | ||||
\(870\) | −1.77072 | + | 2.10243i | −0.0600330 | + | 0.0712792i | ||||
\(871\) | 0 | 0 | ||||||||
\(872\) | − | 17.7203i | − | 0.600084i | ||||||
\(873\) | −14.4852 | − | 8.36303i | −0.490249 | − | 0.283046i | ||||
\(874\) | −1.20488 | + | 2.08691i | −0.0407557 | + | 0.0705909i | ||||
\(875\) | −22.6908 | − | 0.124594i | −0.767089 | − | 0.00421206i | ||||
\(876\) | 1.80479 | 0.0609782 | ||||||||
\(877\) | −40.3520 | + | 23.2972i | −1.36259 | + | 0.786691i | −0.989968 | − | 0.141293i | \(-0.954874\pi\) |
−0.372621 | + | 0.927984i | \(0.621541\pi\) | |||||||
\(878\) | 7.26094 | − | 4.19210i | 0.245045 | − | 0.141477i | ||||
\(879\) | −3.37935 | −0.113982 | ||||||||
\(880\) | 21.1118 | + | 3.76243i | 0.711678 | + | 0.126832i | ||||
\(881\) | −11.9223 | + | 20.6501i | −0.401674 | + | 0.695719i | −0.993928 | − | 0.110032i | \(-0.964905\pi\) |
0.592254 | + | 0.805751i | \(0.298238\pi\) | |||||||
\(882\) | 8.53413 | + | 4.92718i | 0.287359 | + | 0.165907i | ||||
\(883\) | 37.2496i | 1.25355i | 0.779201 | + | 0.626774i | \(0.215625\pi\) | ||||
−0.779201 | + | 0.626774i | \(0.784375\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −4.16790 | − | 3.51031i | −0.140103 | − | 0.117998i | ||||
\(886\) | −22.7041 | + | 39.3246i | −0.762758 | + | 1.32114i | ||||
\(887\) | −24.7505 | − | 14.2897i | −0.831042 | − | 0.479802i | 0.0231673 | − | 0.999732i | \(-0.492625\pi\) |
−0.854209 | + | 0.519929i | \(0.825958\pi\) | |||||||
\(888\) | 5.00967 | − | 2.89233i | 0.168113 | − | 0.0970603i | ||||
\(889\) | −33.9060 | −1.13717 | ||||||||
\(890\) | 5.70242 | − | 31.9975i | 0.191146 | − | 1.07256i | ||||
\(891\) | 15.4116 | + | 26.6937i | 0.516308 | + | 0.894271i | ||||
\(892\) | − | 11.4902i | − | 0.384720i | ||||||
\(893\) | −62.5459 | + | 36.1109i | −2.09302 | + | 1.20840i | ||||
\(894\) | 4.56949 | − | 7.91459i | 0.152827 | − | 0.264704i | ||||
\(895\) | 15.3891 | + | 42.5233i | 0.514402 | + | 1.42140i | ||||
\(896\) | 8.05611 | 0.269136 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 14.8180i | 0.494483i | ||||||||
\(899\) | −1.77072 | + | 3.06697i | −0.0590568 | + | 0.102289i | ||||
\(900\) | 7.97866 | + | 2.93712i | 0.265955 | + | 0.0979039i | ||||
\(901\) | 6.61201 | + | 11.4523i | 0.220278 | + | 0.381533i | ||||
\(902\) | − | 0.831632i | − | 0.0276903i | ||||||
\(903\) | −0.812417 | + | 0.469049i | −0.0270356 | + | 0.0156090i | ||||
\(904\) | −7.31952 | − | 12.6778i | −0.243444 | − | 0.421657i | ||||
\(905\) | −28.5543 | + | 33.9035i | −0.949177 | + | 1.12699i | ||||
\(906\) | 3.92605 | + | 6.80011i | 0.130434 | + | 0.225919i | ||||
\(907\) | −5.55457 | − | 3.20693i | −0.184436 | − | 0.106484i | 0.404939 | − | 0.914344i | \(-0.367293\pi\) |
−0.589375 | + | 0.807859i | \(0.700626\pi\) | |||||||
\(908\) | 2.45952 | + | 1.42000i | 0.0816220 | + | 0.0471245i | ||||
\(909\) | −17.1191 | −0.567805 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 22.2204 | 0.736193 | 0.368097 | − | 0.929788i | \(-0.380010\pi\) | ||||
0.368097 | + | 0.929788i | \(0.380010\pi\) | |||||||
\(912\) | −4.34339 | − | 2.50766i | −0.143824 | − | 0.0830369i | ||||
\(913\) | 26.3345 | + | 15.2042i | 0.871543 | + | 0.503186i | ||||
\(914\) | 4.88719 | + | 8.46486i | 0.161654 | + | 0.279993i | ||||
\(915\) | 3.99108 | + | 3.36138i | 0.131941 | + | 0.111124i | ||||
\(916\) | −0.449643 | − | 0.778805i | −0.0148566 | − | 0.0257324i | ||||
\(917\) | −17.5765 | + | 10.1478i | −0.580426 | + | 0.335109i | ||||
\(918\) | 13.1335i | 0.433472i | ||||||||
\(919\) | 13.0632 | + | 22.6261i | 0.430915 | + | 0.746367i | 0.996952 | − | 0.0780125i | \(-0.0248574\pi\) |
−0.566037 | + | 0.824380i | \(0.691524\pi\) | |||||||
\(920\) | −0.807638 | − | 2.23167i | −0.0266270 | − | 0.0735759i | ||||
\(921\) | −3.81426 | + | 6.60649i | −0.125684 | + | 0.217691i | ||||
\(922\) | − | 5.39220i | − | 0.177583i | ||||||
\(923\) | 0 | 0 | ||||||||
\(924\) | 1.60442 | 0.0527817 | ||||||||
\(925\) | 9.41397 | − | 25.5730i | 0.309529 | − | 0.840836i | ||||
\(926\) | 1.18048 | − | 2.04465i | 0.0387929 | − | 0.0671913i | ||||
\(927\) | 16.0518 | − | 9.26754i | 0.527212 | − | 0.304386i | ||||
\(928\) | 9.65067i | 0.316799i | ||||||||
\(929\) | 11.9711 | + | 20.7346i | 0.392760 | + | 0.680281i | 0.992813 | − | 0.119680i | \(-0.0381869\pi\) |
−0.600052 | + | 0.799961i | \(0.704854\pi\) | |||||||
\(930\) | 1.06484 | + | 0.189770i | 0.0349174 | + | 0.00622281i | ||||
\(931\) | 16.9423 | 0.555261 | ||||||||
\(932\) | 7.13847 | − | 4.12140i | 0.233828 | − | 0.135001i | ||||
\(933\) | 2.28311 | + | 1.31815i | 0.0747457 | + | 0.0431544i | ||||
\(934\) | 19.4748 | − | 33.7313i | 0.637235 | − | 1.10372i | ||||
\(935\) | −36.1752 | − | 30.4676i | −1.18306 | − | 0.996397i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 18.5046i | − | 0.604518i | −0.953226 | − | 0.302259i | \(-0.902259\pi\) | ||
0.953226 | − | 0.302259i | \(-0.0977407\pi\) | |||||||
\(938\) | 9.19124 | + | 5.30656i | 0.300104 | + | 0.173265i | ||||
\(939\) | 4.51102 | − | 7.81332i | 0.147212 | − | 0.254978i | ||||
\(940\) | 2.84375 | − | 15.9569i | 0.0927530 | − | 0.520456i | ||||
\(941\) | 14.3788 | 0.468735 | 0.234368 | − | 0.972148i | \(-0.424698\pi\) | ||||
0.234368 | + | 0.972148i | \(0.424698\pi\) | |||||||
\(942\) | 2.20109 | − | 1.27080i | 0.0717154 | − | 0.0414049i | ||||
\(943\) | −0.0539404 | + | 0.0311425i | −0.00175654 | + | 0.00101414i | ||||
\(944\) | 17.4496 | 0.567938 | ||||||||
\(945\) | −9.06772 | − | 1.61600i | −0.294973 | − | 0.0525685i | ||||
\(946\) | 3.08578 | − | 5.34473i | 0.100327 | − | 0.173772i | ||||
\(947\) | 50.5056 | + | 29.1594i | 1.64121 | + | 0.947554i | 0.980404 | + | 0.196998i | \(0.0631194\pi\) |
0.660807 | + | 0.750555i | \(0.270214\pi\) | |||||||
\(948\) | 2.27744i | 0.0739677i | ||||||||
\(949\) | 0 | 0 | ||||||||
\(950\) | −34.4045 | + | 5.93667i | −1.11623 | + | 0.192611i | ||||
\(951\) | 2.04354 | − | 3.53951i | 0.0662663 | − | 0.114777i | ||||
\(952\) | −29.4613 | − | 17.0095i | −0.954847 | − | 0.551281i | ||||
\(953\) | 11.9507 | − | 6.89975i | 0.387122 | − | 0.223505i | −0.293791 | − | 0.955870i | \(-0.594917\pi\) |
0.680912 | + | 0.732365i | \(0.261583\pi\) | |||||||
\(954\) | −8.29958 | −0.268709 | ||||||||
\(955\) | 3.38525 | + | 0.603301i | 0.109544 | + | 0.0195224i | ||||
\(956\) | −1.18048 | − | 2.04465i | −0.0381794 | − | 0.0661287i | ||||
\(957\) | − | 4.01801i | − | 0.129884i | ||||||
\(958\) | 31.6759 | − | 18.2881i | 1.02340 | − | 0.590862i | ||||
\(959\) | 2.00709 | − | 3.47639i | 0.0648124 | − | 0.112258i | ||||
\(960\) | 6.35785 | − | 2.30090i | 0.205199 | − | 0.0742611i | ||||
\(961\) | −29.6065 | −0.955047 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 50.9319i | 1.64126i | ||||||||
\(964\) | −5.15452 | + | 8.92790i | −0.166016 | + | 0.287548i | ||||
\(965\) | 44.5820 | − | 16.1342i | 1.43515 | − | 0.519378i | ||||
\(966\) | 0.143502 | + | 0.248553i | 0.00461711 | + | 0.00799707i | ||||
\(967\) | − | 30.3474i | − | 0.975906i | −0.872870 | − | 0.487953i | \(-0.837744\pi\) | ||
0.872870 | − | 0.487953i | \(-0.162256\pi\) | |||||||
\(968\) | −10.8172 | + | 6.24534i | −0.347679 | + | 0.200733i | ||||
\(969\) | 5.53069 | + | 9.57943i | 0.177671 | + | 0.307736i | ||||
\(970\) | −9.92970 | + | 11.7899i | −0.318824 | + | 0.378550i | ||||
\(971\) | −22.0506 | − | 38.1928i | −0.707638 | − | 1.22567i | −0.965731 | − | 0.259545i | \(-0.916427\pi\) |
0.258092 | − | 0.966120i | \(-0.416906\pi\) | |||||||
\(972\) | 4.51337 | + | 2.60580i | 0.144767 | + | 0.0835810i | ||||
\(973\) | −15.2923 | − | 8.82900i | −0.490248 | − | 0.283045i | ||||
\(974\) | 26.5074 | 0.849351 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −16.7093 | −0.534853 | ||||||||
\(977\) | −19.3314 | − | 11.1610i | −0.618466 | − | 0.357071i | 0.157806 | − | 0.987470i | \(-0.449558\pi\) |
−0.776271 | + | 0.630399i | \(0.782891\pi\) | |||||||
\(978\) | 4.23551 | + | 2.44537i | 0.135437 | + | 0.0781944i | ||||
\(979\) | 23.7547 | + | 41.1444i | 0.759204 | + | 1.31498i | ||||
\(980\) | −2.44937 | + | 2.90822i | −0.0782422 | + | 0.0928996i | ||||
\(981\) | −8.29958 | − | 14.3753i | −0.264985 | − | 0.458968i | ||||
\(982\) | −10.9845 | + | 6.34189i | −0.350529 | + | 0.202378i | ||||
\(983\) | 4.03793i | 0.128790i | 0.997924 | + | 0.0643950i | \(0.0205118\pi\) | ||||
−0.997924 | + | 0.0643950i | \(0.979488\pi\) | |||||||
\(984\) | −0.0957781 | − | 0.165893i | −0.00305330 | − | 0.00528846i | ||||
\(985\) | 19.4638 | − | 7.04392i | 0.620167 | − | 0.224438i | ||||
\(986\) | −9.70671 | + | 16.8125i | −0.309125 | + | 0.535419i | ||||
\(987\) | 8.60167i | 0.273794i | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −0.462218 | −0.0146977 | ||||||||
\(990\) | 27.9121 | − | 10.1014i | 0.887105 | − | 0.321042i | ||||
\(991\) | −14.8250 | + | 25.6777i | −0.470932 | + | 0.815678i | −0.999447 | − | 0.0332459i | \(-0.989416\pi\) |
0.528515 | + | 0.848924i | \(0.322749\pi\) | |||||||
\(992\) | 3.28871 | − | 1.89874i | 0.104417 | − | 0.0602849i | ||||
\(993\) | − | 4.38304i | − | 0.139092i | ||||||
\(994\) | 2.26626 | + | 3.92527i | 0.0718813 | + | 0.124502i | ||||
\(995\) | 38.3140 | + | 6.82811i | 1.21463 | + | 0.216466i | ||||
\(996\) | 1.59605 | 0.0505728 | ||||||||
\(997\) | 19.2052 | − | 11.0881i | 0.608233 | − | 0.351164i | −0.164040 | − | 0.986454i | \(-0.552453\pi\) |
0.772274 | + | 0.635290i | \(0.219119\pi\) | |||||||
\(998\) | 19.3514 | + | 11.1725i | 0.612557 | + | 0.353660i | ||||
\(999\) | 5.53069 | − | 9.57943i | 0.174983 | − | 0.303080i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))