Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [845,2,Mod(654,845)]
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, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("845.654");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 845 = 5 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 845.l (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: | \(24\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{6})\) |
Twist minimal: | no (minimal twist has level 65) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 699.4 | ||
Character | \(\chi\) | \(=\) | 845.699 |
Dual form | 845.2.l.f.654.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/845\mathbb{Z}\right)^\times\).
\(n\) | \(171\) | \(677\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.593667 | − | 1.02826i | −0.419786 | − | 0.727090i | 0.576132 | − | 0.817357i | \(-0.304561\pi\) |
−0.995918 | + | 0.0902665i | \(0.971228\pi\) | |||||||
\(3\) | 0.298874 | − | 0.172555i | 0.172555 | − | 0.0996247i | −0.411235 | − | 0.911529i | \(-0.634902\pi\) |
0.583790 | + | 0.811905i | \(0.301569\pi\) | |||||||
\(4\) | 0.295120 | − | 0.511162i | 0.147560 | − | 0.255581i | ||||
\(5\) | −1.71029 | + | 1.44045i | −0.764867 | + | 0.644189i | ||||
\(6\) | −0.354863 | − | 0.204880i | −0.144872 | − | 0.0836420i | ||||
\(7\) | 1.01478 | − | 1.75765i | 0.383550 | − | 0.664328i | −0.608017 | − | 0.793924i | \(-0.708035\pi\) |
0.991567 | + | 0.129596i | \(0.0413680\pi\) | |||||||
\(8\) | −3.07548 | −1.08735 | ||||||||
\(9\) | −1.44045 | + | 2.49493i | −0.480150 | + | 0.831644i | ||||
\(10\) | 2.49650 | + | 0.903481i | 0.789463 | + | 0.285706i | ||||
\(11\) | −3.36096 | + | 1.94045i | −1.01337 | + | 0.585068i | −0.912176 | − | 0.409799i | \(-0.865599\pi\) |
−0.101191 | + | 0.994867i | \(0.532265\pi\) | |||||||
\(12\) | − | 0.203698i | − | 0.0588024i | ||||||
\(13\) | 0 | 0 | ||||||||
\(14\) | −2.40976 | −0.644036 | ||||||||
\(15\) | −0.262606 | + | 0.725633i | −0.0678045 | + | 0.187358i | ||||
\(16\) | 1.23557 | + | 2.14007i | 0.308892 | + | 0.535017i | ||||
\(17\) | 4.71996 | + | 2.72507i | 1.14476 | + | 0.660927i | 0.947605 | − | 0.319445i | \(-0.103497\pi\) |
0.197155 | + | 0.980372i | \(0.436830\pi\) | |||||||
\(18\) | 3.42059 | 0.806240 | ||||||||
\(19\) | 5.09301 | + | 2.94045i | 1.16842 | + | 0.674585i | 0.953306 | − | 0.302005i | \(-0.0976558\pi\) |
0.215110 | + | 0.976590i | \(0.430989\pi\) | |||||||
\(20\) | 0.231562 | + | 1.29934i | 0.0517789 | + | 0.290542i | ||||
\(21\) | − | 0.700420i | − | 0.152844i | ||||||
\(22\) | 3.99058 | + | 2.30396i | 0.850794 | + | 0.491206i | ||||
\(23\) | 0.298874 | − | 0.172555i | 0.0623195 | − | 0.0359802i | −0.468516 | − | 0.883455i | \(-0.655211\pi\) |
0.530836 | + | 0.847475i | \(0.321878\pi\) | |||||||
\(24\) | −0.919180 | + | 0.530689i | −0.187627 | + | 0.108326i | ||||
\(25\) | 0.850210 | − | 4.92718i | 0.170042 | − | 0.985437i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 2.02956i | 0.390588i | ||||||||
\(28\) | −0.598962 | − | 1.03743i | −0.113193 | − | 0.196056i | ||||
\(29\) | 1.50000 | + | 2.59808i | 0.278543 | + | 0.482451i | 0.971023 | − | 0.238987i | \(-0.0768152\pi\) |
−0.692480 | + | 0.721437i | \(0.743482\pi\) | |||||||
\(30\) | 0.902040 | − | 0.160757i | 0.164689 | − | 0.0293501i | ||||
\(31\) | 1.18048i | 0.212020i | 0.994365 | + | 0.106010i | \(0.0338076\pi\) | ||||
−0.994365 | + | 0.106010i | \(0.966192\pi\) | |||||||
\(32\) | −1.60845 | + | 2.78591i | −0.284336 | + | 0.492484i | ||||
\(33\) | −0.669668 | + | 1.15990i | −0.116574 | + | 0.201913i | ||||
\(34\) | − | 6.47114i | − | 1.10979i | ||||||
\(35\) | 0.796234 | + | 4.46783i | 0.134588 | + | 0.755201i | ||||
\(36\) | 0.850210 | + | 1.47261i | 0.141702 | + | 0.245435i | ||||
\(37\) | 2.72507 | + | 4.71996i | 0.447999 | + | 0.775957i | 0.998256 | − | 0.0590384i | \(-0.0188034\pi\) |
−0.550257 | + | 0.834996i | \(0.685470\pi\) | |||||||
\(38\) | − | 6.98259i | − | 1.13273i | ||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 5.25997 | − | 4.43007i | 0.831674 | − | 0.700456i | ||||
\(41\) | 0.156299 | − | 0.0902394i | 0.0244098 | − | 0.0140930i | −0.487745 | − | 0.872986i | \(-0.662181\pi\) |
0.512155 | + | 0.858893i | \(0.328847\pi\) | |||||||
\(42\) | −0.720215 | + | 0.415816i | −0.111132 | + | 0.0641618i | ||||
\(43\) | −1.15990 | − | 0.669668i | −0.176883 | − | 0.102123i | 0.408944 | − | 0.912559i | \(-0.365897\pi\) |
−0.585827 | + | 0.810436i | \(0.699230\pi\) | |||||||
\(44\) | 2.29066i | 0.345330i | ||||||||
\(45\) | −1.13023 | − | 6.34196i | −0.168485 | − | 0.945404i | ||||
\(46\) | −0.354863 | − | 0.204880i | −0.0523217 | − | 0.0302079i | ||||
\(47\) | −12.2807 | −1.79133 | −0.895664 | − | 0.444731i | \(-0.853299\pi\) | ||||
−0.895664 | + | 0.444731i | \(0.853299\pi\) | |||||||
\(48\) | 0.738559 | + | 0.426407i | 0.106602 | + | 0.0615466i | ||||
\(49\) | 1.44045 | + | 2.49493i | 0.205779 | + | 0.356419i | ||||
\(50\) | −5.57117 | + | 2.05087i | −0.787883 | + | 0.290036i | ||||
\(51\) | 1.88090 | 0.263379 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 2.42636i | 0.333286i | 0.986017 | + | 0.166643i | \(0.0532928\pi\) | ||||
−0.986017 | + | 0.166643i | \(0.946707\pi\) | |||||||
\(54\) | 2.08691 | − | 1.20488i | 0.283993 | − | 0.163963i | ||||
\(55\) | 2.95310 | − | 8.16003i | 0.398197 | − | 1.10030i | ||||
\(56\) | −3.12093 | + | 5.40561i | −0.417052 | + | 0.722355i | ||||
\(57\) | 2.02956 | 0.268821 | ||||||||
\(58\) | 1.78100 | − | 3.08478i | 0.233857 | − | 0.405052i | ||||
\(59\) | 6.11533 | + | 3.53069i | 0.796149 | + | 0.459657i | 0.842123 | − | 0.539286i | \(-0.181306\pi\) |
−0.0459741 | + | 0.998943i | \(0.514639\pi\) | |||||||
\(60\) | 0.293416 | + | 0.348383i | 0.0378798 | + | 0.0449760i | ||||
\(61\) | −3.38090 | + | 5.85589i | −0.432880 | + | 0.749770i | −0.997120 | − | 0.0758409i | \(-0.975836\pi\) |
0.564240 | + | 0.825611i | \(0.309169\pi\) | |||||||
\(62\) | 1.21384 | − | 0.700811i | 0.154158 | − | 0.0890031i | ||||
\(63\) | 2.92347 | + | 5.06361i | 0.368323 | + | 0.637954i | ||||
\(64\) | 8.76180 | 1.09522 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 1.59024 | 0.195745 | ||||||||
\(67\) | 2.20211 | + | 3.81417i | 0.269031 | + | 0.465975i | 0.968612 | − | 0.248578i | \(-0.0799633\pi\) |
−0.699581 | + | 0.714553i | \(0.746630\pi\) | |||||||
\(68\) | 2.78591 | − | 1.60845i | 0.337841 | − | 0.195053i | ||||
\(69\) | 0.0595504 | − | 0.103144i | 0.00716903 | − | 0.0124171i | ||||
\(70\) | 4.12140 | − | 3.47114i | 0.492601 | − | 0.414880i | ||||
\(71\) | 1.62891 | + | 0.940450i | 0.193316 | + | 0.111611i | 0.593534 | − | 0.804809i | \(-0.297732\pi\) |
−0.400218 | + | 0.916420i | \(0.631066\pi\) | |||||||
\(72\) | 4.43007 | − | 7.67311i | 0.522089 | − | 0.904284i | ||||
\(73\) | 8.86014 | 1.03700 | 0.518501 | − | 0.855077i | \(-0.326490\pi\) | ||||
0.518501 | + | 0.855077i | \(0.326490\pi\) | |||||||
\(74\) | 3.23557 | − | 5.60417i | 0.376127 | − | 0.651472i | ||||
\(75\) | −0.596104 | − | 1.61932i | −0.0688322 | − | 0.186982i | ||||
\(76\) | 3.00609 | − | 1.73557i | 0.344823 | − | 0.199083i | ||||
\(77\) | 7.87651i | 0.897611i | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −11.1805 | −1.25790 | −0.628951 | − | 0.777445i | \(-0.716515\pi\) | ||||
−0.628951 | + | 0.777445i | \(0.716515\pi\) | |||||||
\(80\) | −5.19585 | − | 1.88037i | −0.580913 | − | 0.210232i | ||||
\(81\) | −3.97114 | − | 6.87821i | −0.441238 | − | 0.764246i | ||||
\(82\) | −0.185579 | − | 0.107144i | −0.0204938 | − | 0.0118321i | ||||
\(83\) | −7.83540 | −0.860047 | −0.430024 | − | 0.902818i | \(-0.641495\pi\) | ||||
−0.430024 | + | 0.902818i | \(0.641495\pi\) | |||||||
\(84\) | −0.358028 | − | 0.206708i | −0.0390641 | − | 0.0225537i | ||||
\(85\) | −11.9979 | + | 2.13820i | −1.30135 | + | 0.231920i | ||||
\(86\) | 1.59024i | 0.171480i | ||||||||
\(87\) | 0.896622 | + | 0.517665i | 0.0961280 | + | 0.0554995i | ||||
\(88\) | 10.3365 | − | 5.96781i | 1.10188 | − | 0.636171i | ||||
\(89\) | 10.6018 | − | 6.12093i | 1.12378 | − | 0.648817i | 0.181420 | − | 0.983406i | \(-0.441931\pi\) |
0.942364 | + | 0.334589i | \(0.108597\pi\) | |||||||
\(90\) | −5.85021 | + | 4.92718i | −0.616666 | + | 0.519371i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | − | 0.203698i | − | 0.0212369i | ||||||
\(93\) | 0.203698 | + | 0.352814i | 0.0211224 | + | 0.0365852i | ||||
\(94\) | 7.29066 | + | 12.6278i | 0.751974 | + | 1.30246i | ||||
\(95\) | −12.9461 | + | 2.30719i | −1.32824 | + | 0.236713i | ||||
\(96\) | 1.11018i | 0.113307i | ||||||||
\(97\) | 2.90292 | − | 5.02801i | 0.294747 | − | 0.510517i | −0.680179 | − | 0.733046i | \(-0.738098\pi\) |
0.974926 | + | 0.222529i | \(0.0714312\pi\) | |||||||
\(98\) | 1.71029 | − | 2.96232i | 0.172766 | − | 0.299239i | ||||
\(99\) | − | 11.1805i | − | 1.12368i | ||||||
\(100\) | −2.26768 | − | 1.88870i | −0.226768 | − | 0.188870i | ||||
\(101\) | −2.97114 | − | 5.14616i | −0.295639 | − | 0.512062i | 0.679494 | − | 0.733681i | \(-0.262199\pi\) |
−0.975133 | + | 0.221619i | \(0.928866\pi\) | |||||||
\(102\) | −1.11663 | − | 1.93405i | −0.110563 | − | 0.191500i | ||||
\(103\) | 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 | ||||
\(106\) | 2.49493 | − | 1.44045i | 0.242329 | − | 0.139909i | ||||
\(107\) | −15.3106 | + | 8.83959i | −1.48013 | + | 0.854555i | −0.999747 | − | 0.0225015i | \(-0.992837\pi\) |
−0.480387 | + | 0.877057i | \(0.659504\pi\) | |||||||
\(108\) | 1.03743 | + | 0.598962i | 0.0998270 | + | 0.0576352i | ||||
\(109\) | − | 5.76180i | − | 0.551880i | −0.961175 | − | 0.275940i | \(-0.911011\pi\) | ||
0.961175 | − | 0.275940i | \(-0.0889891\pi\) | |||||||
\(110\) | −10.1438 | + | 1.80777i | −0.967173 | + | 0.172365i | ||||
\(111\) | 1.62891 | + | 0.940450i | 0.154609 | + | 0.0892635i | ||||
\(112\) | 5.01532 | 0.473903 | ||||||||
\(113\) | 4.12222 | + | 2.37996i | 0.387785 | + | 0.223888i | 0.681200 | − | 0.732097i | \(-0.261458\pi\) |
−0.293415 | + | 0.955985i | \(0.594792\pi\) | |||||||
\(114\) | −1.20488 | − | 2.08691i | −0.112847 | − | 0.195457i | ||||
\(115\) | −0.262606 | + | 0.725633i | −0.0244881 | + | 0.0676656i | ||||
\(116\) | 1.77072 | 0.164407 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | − | 8.38421i | − | 0.771829i | ||||||
\(119\) | 9.57943 | − | 5.53069i | 0.878145 | − | 0.506997i | ||||
\(120\) | 0.807638 | − | 2.23167i | 0.0737269 | − | 0.203722i | ||||
\(121\) | 2.03069 | − | 3.51726i | 0.184608 | − | 0.319751i | ||||
\(122\) | 8.02851 | 0.726867 | ||||||||
\(123\) | 0.0311425 | − | 0.0539404i | 0.00280803 | − | 0.00486365i | ||||
\(124\) | 0.603416 | + | 0.348383i | 0.0541884 | + | 0.0312857i | ||||
\(125\) | 5.64325 | + | 9.65162i | 0.504748 | + | 0.863267i | ||||
\(126\) | 3.47114 | − | 6.01219i | 0.309234 | − | 0.535608i | ||||
\(127\) | −14.4679 | + | 8.35307i | −1.28382 | + | 0.741215i | −0.977545 | − | 0.210728i | \(-0.932417\pi\) |
−0.306277 | + | 0.951942i | \(0.599083\pi\) | |||||||
\(128\) | −1.98470 | − | 3.43760i | −0.175424 | − | 0.303844i | ||||
\(129\) | −0.462218 | −0.0406961 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 10.0000 | 0.873704 | 0.436852 | − | 0.899533i | \(-0.356093\pi\) | ||||
0.436852 | + | 0.899533i | \(0.356093\pi\) | |||||||
\(132\) | 0.395265 | + | 0.684619i | 0.0344034 | + | 0.0595884i | ||||
\(133\) | 10.3365 | − | 5.96781i | 0.896292 | − | 0.517475i | ||||
\(134\) | 2.61464 | − | 4.52869i | 0.225871 | − | 0.391219i | ||||
\(135\) | −2.92347 | − | 3.47114i | −0.251613 | − | 0.298748i | ||||
\(136\) | −14.5161 | − | 8.38090i | −1.24475 | − | 0.718656i | ||||
\(137\) | 0.988931 | − | 1.71288i | 0.0844901 | − | 0.146341i | −0.820684 | − | 0.571383i | \(-0.806407\pi\) |
0.905174 | + | 0.425042i | \(0.139741\pi\) | |||||||
\(138\) | −0.141412 | −0.0120378 | ||||||||
\(139\) | 4.35021 | − | 7.53478i | 0.368980 | − | 0.639092i | −0.620426 | − | 0.784265i | \(-0.713040\pi\) |
0.989406 | + | 0.145173i | \(0.0463737\pi\) | |||||||
\(140\) | 2.51877 | + | 0.911540i | 0.212875 | + | 0.0770392i | ||||
\(141\) | −3.67039 | + | 2.11910i | −0.309103 | + | 0.178460i | ||||
\(142\) | − | 2.23325i | − | 0.187411i | ||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | −7.11910 | −0.593258 | ||||||||
\(145\) | −6.30784 | − | 2.28280i | −0.523837 | − | 0.189576i | ||||
\(146\) | −5.25997 | − | 9.11054i | −0.435318 | − | 0.753993i | ||||
\(147\) | 0.861026 | + | 0.497113i | 0.0710162 | + | 0.0410012i | ||||
\(148\) | 3.21689 | 0.264427 | ||||||||
\(149\) | 19.3152 | + | 11.1516i | 1.58236 | + | 0.913576i | 0.994514 | + | 0.104603i | \(0.0333573\pi\) |
0.587846 | + | 0.808973i | \(0.299976\pi\) | |||||||
\(150\) | −1.31119 | + | 1.57428i | −0.107058 | + | 0.128540i | ||||
\(151\) | 19.1626i | 1.55943i | 0.626132 | + | 0.779717i | \(0.284637\pi\) | ||||
−0.626132 | + | 0.779717i | \(0.715363\pi\) | |||||||
\(152\) | −15.6634 | − | 9.04329i | −1.27047 | − | 0.733507i | ||||
\(153\) | −13.5977 | + | 7.85066i | −1.09931 | + | 0.634688i | ||||
\(154\) | 8.09910 | − | 4.67602i | 0.652644 | − | 0.376804i | ||||
\(155\) | −1.70042 | − | 2.01897i | −0.136581 | − | 0.162167i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 6.20265i | 0.495025i | 0.968885 | + | 0.247513i | \(0.0796132\pi\) | ||||
−0.968885 | + | 0.247513i | \(0.920387\pi\) | |||||||
\(158\) | 6.63748 | + | 11.4964i | 0.528049 | + | 0.914608i | ||||
\(159\) | 0.418681 | + | 0.725176i | 0.0332035 | + | 0.0575102i | ||||
\(160\) | −1.26205 | − | 7.08161i | −0.0997736 | − | 0.559850i | ||||
\(161\) | − | 0.700420i | − | 0.0552008i | ||||||
\(162\) | −4.71507 | + | 8.16673i | −0.370451 | + | 0.641639i | ||||
\(163\) | −5.96781 | + | 10.3365i | −0.467435 | + | 0.809621i | −0.999308 | − | 0.0372032i | \(-0.988155\pi\) |
0.531873 | + | 0.846824i | \(0.321488\pi\) | |||||||
\(164\) | − | 0.106526i | − | 0.00831826i | ||||||
\(165\) | −0.525447 | − | 2.94839i | −0.0409060 | − | 0.229532i | ||||
\(166\) | 4.65162 | + | 8.05684i | 0.361036 | + | 0.625332i | ||||
\(167\) | −1.01478 | − | 1.75765i | −0.0785259 | − | 0.136011i | 0.824088 | − | 0.566461i | \(-0.191688\pi\) |
−0.902614 | + | 0.430451i | \(0.858355\pi\) | |||||||
\(168\) | 2.15413i | 0.166195i | ||||||||
\(169\) | 0 | 0 | ||||||||
\(170\) | 9.32135 | + | 11.0675i | 0.714915 | + | 0.848842i | ||||
\(171\) | −14.6724 | + | 8.47114i | −1.12203 | + | 0.647804i | ||||
\(172\) | −0.684619 | + | 0.395265i | −0.0522017 | + | 0.0301387i | ||||
\(173\) | 1.15990 | + | 0.669668i | 0.0881855 | + | 0.0509139i | 0.543444 | − | 0.839445i | \(-0.317120\pi\) |
−0.455259 | + | 0.890359i | \(0.650453\pi\) | |||||||
\(174\) | − | 1.22928i | − | 0.0931916i | ||||||
\(175\) | −7.79748 | − | 6.49437i | −0.589434 | − | 0.490928i | ||||
\(176\) | −8.30539 | − | 4.79512i | −0.626042 | − | 0.361446i | ||||
\(177\) | 2.43695 | 0.183173 | ||||||||
\(178\) | −12.5878 | − | 7.26758i | −0.943497 | − | 0.544728i | ||||
\(179\) | −10.1120 | − | 17.5145i | −0.755807 | − | 1.30910i | −0.944972 | − | 0.327151i | \(-0.893911\pi\) |
0.189165 | − | 0.981945i | \(-0.439422\pi\) | |||||||
\(180\) | −3.57533 | − | 1.29391i | −0.266489 | − | 0.0964421i | ||||
\(181\) | −19.8232 | −1.47345 | −0.736723 | − | 0.676195i | \(-0.763628\pi\) | ||||
−0.736723 | + | 0.676195i | \(0.763628\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 2.33356i | 0.172502i | ||||||||
\(184\) | −0.919180 | + | 0.530689i | −0.0677629 | + | 0.0391229i | ||||
\(185\) | −11.4595 | − | 4.14720i | −0.842522 | − | 0.304908i | ||||
\(186\) | 0.241857 | − | 0.418908i | 0.0177338 | − | 0.0307159i | ||||
\(187\) | −21.1515 | −1.54675 | ||||||||
\(188\) | −3.62429 | + | 6.27745i | −0.264328 | + | 0.457830i | ||||
\(189\) | 3.56725 | + | 2.05955i | 0.259479 | + | 0.149810i | ||||
\(190\) | 10.0581 | + | 11.9423i | 0.729689 | + | 0.866384i | ||||
\(191\) | −0.768891 | + | 1.33176i | −0.0556350 | + | 0.0963626i | −0.892502 | − | 0.451044i | \(-0.851052\pi\) |
0.836867 | + | 0.547407i | \(0.184385\pi\) | |||||||
\(192\) | 2.61867 | − | 1.51189i | 0.188986 | − | 0.109111i | ||||
\(193\) | −10.6016 | − | 18.3625i | −0.763118 | − | 1.32176i | −0.941236 | − | 0.337750i | \(-0.890334\pi\) |
0.178117 | − | 0.984009i | \(-0.442999\pi\) | |||||||
\(194\) | −6.89347 | −0.494923 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.70042 | 0.121459 | ||||||||
\(197\) | 4.62847 | + | 8.01675i | 0.329765 | + | 0.571170i | 0.982465 | − | 0.186447i | \(-0.0596971\pi\) |
−0.652700 | + | 0.757616i | \(0.726364\pi\) | |||||||
\(198\) | −11.4964 | + | 6.63748i | −0.817017 | + | 0.471705i | ||||
\(199\) | 8.70225 | − | 15.0727i | 0.616886 | − | 1.06848i | −0.373164 | − | 0.927765i | \(-0.621727\pi\) |
0.990050 | − | 0.140713i | \(-0.0449394\pi\) | |||||||
\(200\) | −2.61480 | + | 15.1534i | −0.184894 | + | 1.07151i | ||||
\(201\) | 1.31631 | + | 0.759971i | 0.0928452 | + | 0.0536042i | ||||
\(202\) | −3.52773 | + | 6.11021i | −0.248210 | + | 0.429913i | ||||
\(203\) | 6.08867 | 0.427341 | ||||||||
\(204\) | 0.555090 | − | 0.961445i | 0.0388641 | − | 0.0673146i | ||||
\(205\) | −0.137332 | + | 0.379477i | −0.00959171 | + | 0.0265038i | ||||
\(206\) | 6.61560 | − | 3.81952i | 0.460931 | − | 0.266119i | ||||
\(207\) | 0.994227i | 0.0691036i | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −22.8232 | −1.57871 | ||||||||
\(210\) | 0.632817 | − | 1.74860i | 0.0436685 | − | 0.120665i | ||||
\(211\) | 3.64087 | + | 6.30617i | 0.250648 | + | 0.434135i | 0.963704 | − | 0.266972i | \(-0.0860231\pi\) |
−0.713057 | + | 0.701107i | \(0.752690\pi\) | |||||||
\(212\) | 1.24026 | + | 0.716067i | 0.0851817 | + | 0.0491797i | ||||
\(213\) | 0.649117 | 0.0444768 | ||||||||
\(214\) | 18.1788 | + | 10.4955i | 1.24268 | + | 0.717460i | ||||
\(215\) | 2.94839 | − | 0.525447i | 0.201079 | − | 0.0358352i | ||||
\(216\) | − | 6.24186i | − | 0.424705i | ||||||
\(217\) | 2.07487 | + | 1.19792i | 0.140851 | + | 0.0813204i | ||||
\(218\) | −5.92463 | + | 3.42059i | −0.401267 | + | 0.231671i | ||||
\(219\) | 2.64807 | − | 1.52886i | 0.178940 | − | 0.103311i | ||||
\(220\) | −3.29958 | − | 3.91770i | −0.222458 | − | 0.264131i | ||||
\(221\) | 0 | 0 | ||||||||
\(222\) | − | 2.23325i | − | 0.149886i | ||||||
\(223\) | −9.73351 | − | 16.8589i | −0.651804 | − | 1.12896i | −0.982685 | − | 0.185285i | \(-0.940679\pi\) |
0.330881 | − | 0.943672i | \(-0.392654\pi\) | |||||||
\(224\) | 3.26443 | + | 5.65416i | 0.218114 | + | 0.377784i | ||||
\(225\) | 11.0683 | + | 9.21858i | 0.737887 | + | 0.614572i | ||||
\(226\) | − | 5.65162i | − | 0.375940i | ||||||
\(227\) | −2.40581 | + | 4.16698i | −0.159679 | + | 0.276572i | −0.934753 | − | 0.355298i | \(-0.884379\pi\) |
0.775074 | + | 0.631871i | \(0.217713\pi\) | |||||||
\(228\) | 0.598962 | − | 1.03743i | 0.0396672 | − | 0.0687057i | ||||
\(229\) | 1.52360i | 0.100682i | 0.998732 | + | 0.0503410i | \(0.0160308\pi\) | ||||
−0.998732 | + | 0.0503410i | \(0.983969\pi\) | |||||||
\(230\) | 0.902040 | − | 0.160757i | 0.0594787 | − | 0.0106000i | ||||
\(231\) | 1.35913 | + | 2.35408i | 0.0894242 | + | 0.154887i | ||||
\(232\) | −4.61322 | − | 7.99033i | −0.302873 | − | 0.524591i | ||||
\(233\) | 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 | ||||
\(236\) | 3.60951 | − | 2.08395i | 0.234959 | − | 0.135654i | ||||
\(237\) | −3.34155 | + | 1.92925i | −0.217057 | + | 0.125318i | ||||
\(238\) | −11.3740 | − | 6.56677i | −0.737266 | − | 0.425661i | ||||
\(239\) | − | 4.00000i | − | 0.258738i | −0.991596 | − | 0.129369i | \(-0.958705\pi\) | ||
0.991596 | − | 0.129369i | \(-0.0412952\pi\) | |||||||
\(240\) | −1.87737 | + | 0.334575i | −0.121184 | + | 0.0215967i | ||||
\(241\) | −15.1259 | − | 8.73294i | −0.974344 | − | 0.562538i | −0.0737864 | − | 0.997274i | \(-0.523508\pi\) |
−0.900558 | + | 0.434736i | \(0.856842\pi\) | |||||||
\(242\) | −4.82221 | −0.309983 | ||||||||
\(243\) | −7.64668 | − | 4.41481i | −0.490535 | − | 0.283210i | ||||
\(244\) | 1.99554 | + | 3.45638i | 0.127751 | + | 0.221272i | ||||
\(245\) | −6.05742 | − | 2.19217i | −0.386994 | − | 0.140053i | ||||
\(246\) | −0.0739531 | −0.00471508 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | − | 3.63054i | − | 0.230539i | ||||||
\(249\) | −2.34180 | + | 1.35204i | −0.148405 | + | 0.0856819i | ||||
\(250\) | 6.57417 | − | 11.5326i | 0.415787 | − | 0.729384i | ||||
\(251\) | 4.64979 | − | 8.05367i | 0.293492 | − | 0.508343i | −0.681141 | − | 0.732152i | \(-0.738516\pi\) |
0.974633 | + | 0.223809i | \(0.0718492\pi\) | |||||||
\(252\) | 3.45110 | 0.217399 | ||||||||
\(253\) | −0.669668 | + | 1.15990i | −0.0421017 | + | 0.0729223i | ||||
\(254\) | 17.1783 | + | 9.91788i | 1.07786 | + | 0.622303i | ||||
\(255\) | −3.21689 | + | 2.70934i | −0.201449 | + | 0.169665i | ||||
\(256\) | 6.40530 | − | 11.0943i | 0.400331 | − | 0.693394i | ||||
\(257\) | 9.43076 | − | 5.44485i | 0.588274 | − | 0.339640i | −0.176141 | − | 0.984365i | \(-0.556361\pi\) |
0.764415 | + | 0.644725i | \(0.223028\pi\) | |||||||
\(258\) | 0.274404 | + | 0.475281i | 0.0170836 | + | 0.0295897i | ||||
\(259\) | 11.0614 | 0.687321 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −8.64270 | −0.534970 | ||||||||
\(262\) | −5.93667 | − | 10.2826i | −0.366769 | − | 0.635262i | ||||
\(263\) | −11.6399 | + | 6.72031i | −0.717749 | + | 0.414392i | −0.813923 | − | 0.580972i | \(-0.802673\pi\) |
0.0961749 | + | 0.995364i | \(0.469339\pi\) | |||||||
\(264\) | 2.05955 | − | 3.56725i | 0.126757 | − | 0.219549i | ||||
\(265\) | −3.49505 | − | 4.14979i | −0.214699 | − | 0.254920i | ||||
\(266\) | −12.2729 | − | 7.08578i | −0.752502 | − | 0.434457i | ||||
\(267\) | 2.11239 | − | 3.65877i | 0.129276 | − | 0.223913i | ||||
\(268\) | 2.59955 | 0.158793 | ||||||||
\(269\) | 1.83027 | − | 3.17012i | 0.111593 | − | 0.193286i | −0.804819 | − | 0.593520i | \(-0.797738\pi\) |
0.916413 | + | 0.400234i | \(0.131071\pi\) | |||||||
\(270\) | −1.83367 | + | 5.06679i | −0.111593 | + | 0.308355i | ||||
\(271\) | −19.0557 | + | 11.0018i | −1.15755 | + | 0.668313i | −0.950716 | − | 0.310062i | \(-0.899650\pi\) |
−0.206837 | + | 0.978376i | \(0.566317\pi\) | |||||||
\(272\) | 13.4681i | 0.816621i | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −2.34838 | −0.141871 | ||||||||
\(275\) | 6.70343 | + | 18.2098i | 0.404232 | + | 1.09809i | ||||
\(276\) | −0.0351490 | − | 0.0608799i | −0.00211572 | − | 0.00366454i | ||||
\(277\) | −8.56973 | − | 4.94774i | −0.514905 | − | 0.297281i | 0.219943 | − | 0.975513i | \(-0.429413\pi\) |
−0.734848 | + | 0.678232i | \(0.762746\pi\) | |||||||
\(278\) | −10.3303 | −0.619570 | ||||||||
\(279\) | −2.94521 | − | 1.70042i | −0.176325 | − | 0.101801i | ||||
\(280\) | −2.44880 | − | 13.7407i | −0.146344 | − | 0.821165i | ||||
\(281\) | − | 4.06138i | − | 0.242281i | −0.992635 | − | 0.121141i | \(-0.961345\pi\) | ||
0.992635 | − | 0.121141i | \(-0.0386552\pi\) | |||||||
\(282\) | 4.35798 | + | 2.51608i | 0.259514 | + | 0.149830i | ||||
\(283\) | 5.27294 | − | 3.04434i | 0.313444 | − | 0.180967i | −0.335023 | − | 0.942210i | \(-0.608744\pi\) |
0.648467 | + | 0.761243i | \(0.275411\pi\) | |||||||
\(284\) | 0.961445 | − | 0.555090i | 0.0570513 | − | 0.0329386i | ||||
\(285\) | −3.47114 | + | 2.92347i | −0.205613 | + | 0.173172i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | − | 0.366292i | − | 0.0216215i | ||||||
\(288\) | −4.63377 | − | 8.02592i | −0.273047 | − | 0.472932i | ||||
\(289\) | 6.35204 | + | 11.0021i | 0.373649 | + | 0.647180i | ||||
\(290\) | 1.39744 | + | 7.84133i | 0.0820605 | + | 0.460458i | ||||
\(291\) | − | 2.00366i | − | 0.117456i | ||||||
\(292\) | 2.61480 | − | 4.52897i | 0.153020 | − | 0.265038i | ||||
\(293\) | 4.89604 | − | 8.48019i | 0.286030 | − | 0.495418i | −0.686829 | − | 0.726819i | \(-0.740998\pi\) |
0.972858 | + | 0.231401i | \(0.0743310\pi\) | |||||||
\(294\) | − | 1.18048i | − | 0.0688469i | ||||||
\(295\) | −15.5448 | + | 2.77031i | −0.905053 | + | 0.161294i | ||||
\(296\) | −8.38090 | − | 14.5161i | −0.487130 | − | 0.843734i | ||||
\(297\) | −3.93825 | − | 6.82125i | −0.228521 | − | 0.395809i | ||||
\(298\) | − | 26.4814i | − | 1.53402i | ||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | −1.00366 | − | 0.173186i | −0.0579461 | − | 0.00999888i | ||||
\(301\) | −2.35408 | + | 1.35913i | −0.135687 | + | 0.0783390i | ||||
\(302\) | 19.7042 | − | 11.3762i | 1.13385 | − | 0.654628i | ||||
\(303\) | −1.77599 | − | 1.02537i | −0.102028 | − | 0.0589059i | ||||
\(304\) | 14.5325i | 0.833497i | ||||||||
\(305\) | −2.65278 | − | 14.8853i | −0.151898 | − | 0.852330i | ||||
\(306\) | 16.1450 | + | 9.32135i | 0.922951 | + | 0.532866i | ||||
\(307\) | 22.1046 | 1.26158 | 0.630788 | − | 0.775955i | \(-0.282732\pi\) | ||||
0.630788 | + | 0.775955i | \(0.282732\pi\) | |||||||
\(308\) | 4.02617 | + | 2.32451i | 0.229412 | + | 0.132451i | ||||
\(309\) | 1.11018 | + | 1.92289i | 0.0631560 | + | 0.109389i | ||||
\(310\) | −1.06654 | + | 2.94707i | −0.0605754 | + | 0.167382i | ||||
\(311\) | −7.63904 | −0.433170 | −0.216585 | − | 0.976264i | \(-0.569492\pi\) | ||||
−0.216585 | + | 0.976264i | \(0.569492\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 26.1425i | 1.47766i | 0.673891 | + | 0.738831i | \(0.264622\pi\) | ||||
−0.673891 | + | 0.738831i | \(0.735378\pi\) | |||||||
\(314\) | 6.37794 | − | 3.68231i | 0.359928 | − | 0.207805i | ||||
\(315\) | −12.2939 | − | 4.44914i | −0.692681 | − | 0.250680i | ||||
\(316\) | −3.29958 | + | 5.71504i | −0.185616 | + | 0.321496i | ||||
\(317\) | 11.8428 | 0.665159 | 0.332580 | − | 0.943075i | \(-0.392081\pi\) | ||||
0.332580 | + | 0.943075i | \(0.392081\pi\) | |||||||
\(318\) | 0.497113 | − | 0.861026i | 0.0278767 | − | 0.0482839i | ||||
\(319\) | −10.0829 | − | 5.82135i | −0.564532 | − | 0.325933i | ||||
\(320\) | −14.9852 | + | 12.6209i | −0.837701 | + | 0.705531i | ||||
\(321\) | −3.05063 | + | 5.28385i | −0.170270 | + | 0.294916i | ||||
\(322\) | −0.720215 | + | 0.415816i | −0.0401360 | + | 0.0231725i | ||||
\(323\) | 16.0259 | + | 27.7576i | 0.891704 | + | 1.54448i | ||||
\(324\) | −4.68785 | −0.260436 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 14.1716 | 0.784890 | ||||||||
\(327\) | −0.994227 | − | 1.72205i | −0.0549809 | − | 0.0952297i | ||||
\(328\) | −0.480695 | + | 0.277529i | −0.0265419 | + | 0.0153240i | ||||
\(329\) | −12.4622 | + | 21.5852i | −0.687064 | + | 1.19003i | ||||
\(330\) | −2.71978 | + | 2.29066i | −0.149719 | + | 0.126097i | ||||
\(331\) | 10.9989 | + | 6.35021i | 0.604553 | + | 0.349039i | 0.770831 | − | 0.637040i | \(-0.219841\pi\) |
−0.166277 | + | 0.986079i | \(0.553175\pi\) | |||||||
\(332\) | −2.31238 | + | 4.00516i | −0.126908 | + | 0.219812i | ||||
\(333\) | −15.7013 | −0.860427 | ||||||||
\(334\) | −1.20488 | + | 2.08691i | −0.0659281 | + | 0.114191i | ||||
\(335\) | −9.26038 | − | 3.35132i | −0.505948 | − | 0.183102i | ||||
\(336\) | 1.49895 | − | 0.865418i | 0.0817743 | − | 0.0472124i | ||||
\(337\) | − | 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 | ||||||||
\(340\) | −2.44784 | + | 6.76387i | −0.132753 | + | 0.366823i | ||||
\(341\) | −2.29066 | − | 3.96754i | −0.124046 | − | 0.214854i | ||||
\(342\) | 17.4211 | + | 10.0581i | 0.942024 | + | 0.543878i | ||||
\(343\) | 20.0538 | 1.08281 | ||||||||
\(344\) | 3.56725 | + | 2.05955i | 0.192333 | + | 0.111044i | ||||
\(345\) | 0.0467255 | + | 0.262187i | 0.00251562 | + | 0.0141157i | ||||
\(346\) | − | 1.59024i | − | 0.0854918i | ||||||
\(347\) | 10.5998 | + | 6.11981i | 0.569029 | + | 0.328529i | 0.756761 | − | 0.653691i | \(-0.226781\pi\) |
−0.187733 | + | 0.982220i | \(0.560114\pi\) | |||||||
\(348\) | 0.529222 | − | 0.305546i | 0.0283693 | − | 0.0163790i | ||||
\(349\) | 16.1950 | − | 9.35021i | 0.866901 | − | 0.500505i | 0.000583538 | − | 1.00000i | \(-0.499814\pi\) |
0.866317 | + | 0.499495i | \(0.166481\pi\) | |||||||
\(350\) | −2.04880 | + | 11.8733i | −0.109513 | + | 0.634656i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | − | 12.4844i | − | 0.665422i | ||||||
\(353\) | 0.654413 | + | 1.13348i | 0.0348309 | + | 0.0603288i | 0.882915 | − | 0.469532i | \(-0.155577\pi\) |
−0.848084 | + | 0.529861i | \(0.822244\pi\) | |||||||
\(354\) | −1.44674 | − | 2.50582i | −0.0768932 | − | 0.133183i | ||||
\(355\) | −4.14058 | + | 0.737912i | −0.219759 | + | 0.0391643i | ||||
\(356\) | − | 7.22563i | − | 0.382957i | ||||||
\(357\) | 1.90870 | − | 3.30596i | 0.101019 | − | 0.174970i | ||||
\(358\) | −12.0063 | + | 20.7956i | −0.634554 | + | 1.09908i | ||||
\(359\) | − | 29.4082i | − | 1.55210i | −0.630670 | − | 0.776051i | \(-0.717220\pi\) | ||
0.630670 | − | 0.776051i | \(-0.282780\pi\) | |||||||
\(360\) | 3.47600 | + | 19.5046i | 0.183201 | + | 1.02798i | ||||
\(361\) | 7.79249 | + | 13.4970i | 0.410131 | + | 0.710368i | ||||
\(362\) | 11.7684 | + | 20.3834i | 0.618531 | + | 1.07133i | ||||
\(363\) | − | 1.40162i | − | 0.0735661i | ||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −15.1534 | + | 12.7626i | −0.793168 | + | 0.668024i | ||||
\(366\) | 2.39951 | − | 1.38536i | 0.125425 | − | 0.0724139i | ||||
\(367\) | 28.9531 | − | 16.7161i | 1.51134 | − | 0.872573i | 0.511429 | − | 0.859326i | \(-0.329116\pi\) |
0.999912 | − | 0.0132473i | \(-0.00421687\pi\) | |||||||
\(368\) | 0.738559 | + | 0.426407i | 0.0385001 | + | 0.0222280i | ||||
\(369\) | 0.519941i | 0.0270671i | ||||||||
\(370\) | 2.53875 | + | 14.2455i | 0.131983 | + | 0.740586i | ||||
\(371\) | 4.26469 | + | 2.46222i | 0.221412 | + | 0.127832i | ||||
\(372\) | 0.240461 | 0.0124673 | ||||||||
\(373\) | 29.8589 | + | 17.2391i | 1.54604 | + | 0.892604i | 0.998438 | + | 0.0558628i | \(0.0177909\pi\) |
0.547598 | + | 0.836742i | \(0.315542\pi\) | |||||||
\(374\) | 12.5569 | + | 21.7492i | 0.649303 | + | 1.12463i | ||||
\(375\) | 3.35206 | + | 1.91085i | 0.173099 | + | 0.0986757i | ||||
\(376\) | 37.7691 | 1.94779 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | − | 4.89075i | − | 0.251553i | ||||||
\(379\) | 15.0727 | − | 8.70225i | 0.774234 | − | 0.447004i | −0.0601487 | − | 0.998189i | \(-0.519157\pi\) |
0.834383 | + | 0.551185i | \(0.185824\pi\) | |||||||
\(380\) | −2.64130 | + | 7.29846i | −0.135496 | + | 0.374403i | ||||
\(381\) | −2.88273 | + | 4.99303i | −0.147687 | + | 0.255801i | ||||
\(382\) | 1.82586 | 0.0934191 | ||||||||
\(383\) | 0.873366 | − | 1.51271i | 0.0446269 | − | 0.0772961i | −0.842849 | − | 0.538150i | \(-0.819123\pi\) |
0.887476 | + | 0.460854i | \(0.152457\pi\) | |||||||
\(384\) | −1.18635 | − | 0.684939i | −0.0605406 | − | 0.0349531i | ||||
\(385\) | −11.3457 | − | 13.4711i | −0.578231 | − | 0.686553i | ||||
\(386\) | −12.5876 | + | 21.8024i | −0.640692 | + | 1.10971i | ||||
\(387\) | 3.34155 | − | 1.92925i | 0.169861 | − | 0.0980692i | ||||
\(388\) | −1.71342 | − | 2.96773i | −0.0869857 | − | 0.150664i | ||||
\(389\) | 22.0435 | 1.11765 | 0.558826 | − | 0.829285i | \(-0.311252\pi\) | ||||
0.558826 | + | 0.829285i | \(0.311252\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.88090 | 0.0951212 | ||||||||
\(392\) | −4.43007 | − | 7.67311i | −0.223752 | − | 0.387550i | ||||
\(393\) | 2.98874 | − | 1.72555i | 0.150762 | − | 0.0870425i | ||||
\(394\) | 5.49554 | − | 9.51855i | 0.276861 | − | 0.479538i | ||||
\(395\) | 19.1219 | − | 16.1049i | 0.962127 | − | 0.810326i | ||||
\(396\) | −5.71504 | − | 3.29958i | −0.287192 | − | 0.165810i | ||||
\(397\) | −11.2660 | + | 19.5132i | −0.565422 | + | 0.979339i | 0.431588 | + | 0.902071i | \(0.357953\pi\) |
−0.997010 | + | 0.0772687i | \(0.975380\pi\) | |||||||
\(398\) | −20.6649 | −1.03584 | ||||||||
\(399\) | 2.05955 | − | 3.56725i | 0.103106 | − | 0.178586i | ||||
\(400\) | 11.5950 | − | 4.26837i | 0.579750 | − | 0.213418i | ||||
\(401\) | 3.20782 | − | 1.85204i | 0.160191 | − | 0.0924863i | −0.417761 | − | 0.908557i | \(-0.637185\pi\) |
0.577953 | + | 0.816070i | \(0.303852\pi\) | |||||||
\(402\) | − | 1.80468i | − | 0.0900091i | ||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | −3.50737 | −0.174498 | ||||||||
\(405\) | 16.6995 | + | 6.04354i | 0.829807 | + | 0.300306i | ||||
\(406\) | −3.61464 | − | 6.26074i | −0.179392 | − | 0.310715i | ||||
\(407\) | −18.3177 | − | 10.5757i | −0.907975 | − | 0.524220i | ||||
\(408\) | −5.78466 | −0.286384 | ||||||||
\(409\) | −11.6772 | − | 6.74186i | −0.577402 | − | 0.333363i | 0.182698 | − | 0.983169i | \(-0.441517\pi\) |
−0.760100 | + | 0.649806i | \(0.774850\pi\) | |||||||
\(410\) | 0.471731 | − | 0.0840695i | 0.0232971 | − | 0.00415190i | ||||
\(411\) | − | 0.682580i | − | 0.0336692i | ||||||
\(412\) | 3.28871 | + | 1.89874i | 0.162023 | + | 0.0935440i | ||||
\(413\) | 12.4114 | − | 7.16573i | 0.610726 | − | 0.352603i | ||||
\(414\) | 1.02232 | − | 0.590239i | 0.0502445 | − | 0.0290087i | ||||
\(415\) | 13.4008 | − | 11.2865i | 0.657821 | − | 0.554033i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | − | 3.00260i | − | 0.147038i | ||||||
\(418\) | 13.5494 | + | 23.4682i | 0.662721 | + | 1.14787i | ||||
\(419\) | 8.41159 | + | 14.5693i | 0.410933 | + | 0.711757i | 0.994992 | − | 0.0999544i | \(-0.0318697\pi\) |
−0.584059 | + | 0.811711i | \(0.698536\pi\) | |||||||
\(420\) | 0.910086 | − | 0.162191i | 0.0444077 | − | 0.00791410i | ||||
\(421\) | 17.1013i | 0.833464i | 0.909029 | + | 0.416732i | \(0.136825\pi\) | ||||
−0.909029 | + | 0.416732i | \(0.863175\pi\) | |||||||
\(422\) | 4.32293 | − | 7.48753i | 0.210437 | − | 0.364487i | ||||
\(423\) | 17.6898 | − | 30.6396i | 0.860106 | − | 1.48975i | ||||
\(424\) | − | 7.46222i | − | 0.362397i | ||||||
\(425\) | 17.4399 | − | 20.9392i | 0.845959 | − | 1.01570i | ||||
\(426\) | −0.385359 | − | 0.667462i | −0.0186707 | − | 0.0323386i | ||||
\(427\) | 6.86173 | + | 11.8849i | 0.332062 | + | 0.575149i | ||||
\(428\) | 10.4349i | 0.504392i | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −2.29066 | − | 2.71978i | −0.110465 | − | 0.131159i | ||||
\(431\) | 8.36627 | − | 4.83027i | 0.402989 | − | 0.232666i | −0.284784 | − | 0.958592i | \(-0.591922\pi\) |
0.687773 | + | 0.725926i | \(0.258588\pi\) | |||||||
\(432\) | −4.34339 | + | 2.50766i | −0.208972 | + | 0.120650i | ||||
\(433\) | 21.4538 | + | 12.3863i | 1.03100 | + | 0.595249i | 0.917272 | − | 0.398262i | \(-0.130387\pi\) |
0.113730 | + | 0.993512i | \(0.463720\pi\) | |||||||
\(434\) | − | 2.84467i | − | 0.136549i | ||||||
\(435\) | −2.27916 | + | 0.406180i | −0.109277 | + | 0.0194748i | ||||
\(436\) | −2.94521 | − | 1.70042i | −0.141050 | − | 0.0814354i | ||||
\(437\) | 2.02956 | 0.0970869 | ||||||||
\(438\) | −3.14414 | − | 1.81527i | −0.150233 | − | 0.0867369i | ||||
\(439\) | −3.53069 | − | 6.11533i | −0.168511 | − | 0.291869i | 0.769386 | − | 0.638784i | \(-0.220562\pi\) |
−0.937896 | + | 0.346915i | \(0.887229\pi\) | |||||||
\(440\) | −9.08221 | + | 25.0960i | −0.432977 | + | 1.19640i | ||||
\(441\) | −8.29958 | −0.395218 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | − | 38.2438i | − | 1.81702i | −0.417865 | − | 0.908509i | \(-0.637222\pi\) | ||
0.417865 | − | 0.908509i | \(-0.362778\pi\) | |||||||
\(444\) | 0.961445 | − | 0.555090i | 0.0456282 | − | 0.0263434i | ||||
\(445\) | −9.31523 | + | 25.7399i | −0.441584 | + | 1.22019i | ||||
\(446\) | −11.5569 | + | 20.0172i | −0.547236 | + | 0.947840i | ||||
\(447\) | 7.69707 | 0.364059 | ||||||||
\(448\) | 8.89128 | − | 15.4002i | 0.420074 | − | 0.727589i | ||||
\(449\) | 10.8080 | + | 6.24003i | 0.510063 | + | 0.294485i | 0.732860 | − | 0.680380i | \(-0.238185\pi\) |
−0.222796 | + | 0.974865i | \(0.571519\pi\) | |||||||
\(450\) | 2.90822 | − | 16.8539i | 0.137095 | − | 0.794499i | ||||
\(451\) | −0.350210 | + | 0.606582i | −0.0164908 | + | 0.0285628i | ||||
\(452\) | 2.43309 | − | 1.40475i | 0.114443 | − | 0.0660738i | ||||
\(453\) | 3.30661 | + | 5.72721i | 0.155358 | + | 0.269088i | ||||
\(454\) | 5.71300 | 0.268124 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −6.24186 | −0.292302 | ||||||||
\(457\) | −4.11610 | − | 7.12930i | −0.192543 | − | 0.333495i | 0.753549 | − | 0.657392i | \(-0.228340\pi\) |
−0.946092 | + | 0.323897i | \(0.895007\pi\) | |||||||
\(458\) | 1.56665 | − | 0.904508i | 0.0732050 | − | 0.0422649i | ||||
\(459\) | −5.53069 | + | 9.57943i | −0.258150 | + | 0.447130i | ||||
\(460\) | 0.293416 | + | 0.348383i | 0.0136806 | + | 0.0162434i | ||||
\(461\) | 3.93300 | + | 2.27072i | 0.183178 | + | 0.105758i | 0.588785 | − | 0.808290i | \(-0.299606\pi\) |
−0.405607 | + | 0.914048i | \(0.632940\pi\) | |||||||
\(462\) | 1.61374 | − | 2.79508i | 0.0750780 | − | 0.130039i | ||||
\(463\) | −1.98845 | −0.0924113 | −0.0462056 | − | 0.998932i | \(-0.514713\pi\) | ||||
−0.0462056 | + | 0.998932i | \(0.514713\pi\) | |||||||
\(464\) | −3.70671 | + | 6.42021i | −0.172080 | + | 0.298051i | ||||
\(465\) | −0.856594 | − | 0.310000i | −0.0397236 | − | 0.0143759i | ||||
\(466\) | 14.3598 | − | 8.29066i | 0.665207 | − | 0.384057i | ||||
\(467\) | − | 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 | ||||||||
\(470\) | −30.6589 | − | 11.0954i | −1.41419 | − | 0.511793i | ||||
\(471\) | 1.07030 | + | 1.85381i | 0.0493167 | + | 0.0854191i | ||||
\(472\) | −18.8076 | − | 10.8586i | −0.865689 | − | 0.499806i | ||||
\(473\) | 5.19783 | 0.238997 | ||||||||
\(474\) | 3.96754 | + | 2.29066i | 0.182235 | + | 0.105213i | ||||
\(475\) | 18.8183 | − | 22.5942i | 0.863441 | − | 1.03669i | ||||
\(476\) | − | 6.52886i | − | 0.299250i | ||||||
\(477\) | −6.05360 | − | 3.49505i | −0.277176 | − | 0.160027i | ||||
\(478\) | −4.11304 | + | 2.37467i | −0.188126 | + | 0.108615i | ||||
\(479\) | −26.6782 | + | 15.4027i | −1.21896 | + | 0.703766i | −0.964695 | − | 0.263369i | \(-0.915166\pi\) |
−0.254263 | + | 0.967135i | \(0.581833\pi\) | |||||||
\(480\) | −1.59916 | − | 1.89874i | −0.0729913 | − | 0.0866650i | ||||
\(481\) | 0 | 0 | ||||||||
\(482\) | 20.7378i | 0.944582i | ||||||||
\(483\) | −0.120861 | − | 0.209337i | −0.00549937 | − | 0.00952518i | ||||
\(484\) | −1.19859 | − | 2.07602i | −0.0544815 | − | 0.0943647i | ||||
\(485\) | 2.27774 | + | 12.7809i | 0.103427 | + | 0.580350i | ||||
\(486\) | 10.4837i | 0.475551i | ||||||||
\(487\) | 11.1626 | − | 19.3341i | 0.505824 | − | 0.876113i | −0.494153 | − | 0.869375i | \(-0.664522\pi\) |
0.999977 | − | 0.00673807i | \(-0.00214481\pi\) | |||||||
\(488\) | 10.3979 | − | 18.0097i | 0.470690 | − | 0.815259i | ||||
\(489\) | 4.11910i | 0.186272i | ||||||||
\(490\) | 1.34196 | + | 7.53002i | 0.0606236 | + | 0.340172i | ||||
\(491\) | 5.34129 | + | 9.25139i | 0.241049 | + | 0.417509i | 0.961013 | − | 0.276502i | \(-0.0891752\pi\) |
−0.719964 | + | 0.694011i | \(0.755842\pi\) | |||||||
\(492\) | −0.0183815 | − | 0.0318378i | −0.000828704 | − | 0.00143536i | ||||
\(493\) | 16.3504i | 0.736386i | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 16.1049 | + | 19.1219i | 0.723862 | + | 0.859466i | ||||
\(496\) | −2.52631 | + | 1.45856i | −0.113434 | + | 0.0654914i | ||||
\(497\) | 3.30596 | − | 1.90870i | 0.148292 | − | 0.0856167i | ||||
\(498\) | 2.78049 | + | 1.60532i | 0.124597 | + | 0.0719361i | ||||
\(499\) | − | 18.8195i | − | 0.842477i | −0.906950 | − | 0.421239i | \(-0.861595\pi\) | ||
0.906950 | − | 0.421239i | \(-0.138405\pi\) | |||||||
\(500\) | 6.59898 | − | 0.0362348i | 0.295115 | − | 0.00162047i | ||||
\(501\) | −0.606582 | − | 0.350210i | −0.0271001 | − | 0.0156462i | ||||
\(502\) | −11.0417 | −0.492815 | ||||||||
\(503\) | 4.92013 | + | 2.84064i | 0.219378 | + | 0.126658i | 0.605662 | − | 0.795722i | \(-0.292908\pi\) |
−0.386284 | + | 0.922380i | \(0.626242\pi\) | |||||||
\(504\) | −8.99108 | − | 15.5730i | −0.400495 | − | 0.693677i | ||||
\(505\) | 12.4943 | + | 4.52168i | 0.555989 | + | 0.201212i | ||||
\(506\) | 1.59024 | 0.0706948 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 9.86062i | 0.437494i | ||||||||
\(509\) | −24.1833 | + | 13.9622i | −1.07190 | + | 0.618864i | −0.928701 | − | 0.370829i | \(-0.879074\pi\) |
−0.143203 | + | 0.989693i | \(0.545740\pi\) | |||||||
\(510\) | 4.69567 | + | 1.69936i | 0.207928 | + | 0.0752488i | ||||
\(511\) | 8.99108 | − | 15.5730i | 0.397742 | − | 0.688909i | ||||
\(512\) | −23.1492 | −1.02306 | ||||||||
\(513\) | −5.96781 | + | 10.3365i | −0.263485 | + | 0.456370i | ||||
\(514\) | −11.1975 | − | 6.46485i | −0.493898 | − | 0.285152i | ||||
\(515\) | −9.26754 | − | 11.0037i | −0.408376 | − | 0.484879i | ||||
\(516\) | −0.136410 | + | 0.236269i | −0.00600511 | + | 0.0104011i | ||||
\(517\) | 41.2750 | − | 23.8301i | 1.81527 | − | 1.04805i | ||||
\(518\) | −6.56677 | − | 11.3740i | −0.288527 | − | 0.499744i | ||||
\(519\) | 0.462218 | 0.0202891 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 6.29958 | 0.275990 | 0.137995 | − | 0.990433i | \(-0.455934\pi\) | ||||
0.137995 | + | 0.990433i | \(0.455934\pi\) | |||||||
\(522\) | 5.13088 | + | 8.88695i | 0.224573 | + | 0.388971i | ||||
\(523\) | 19.7948 | − | 11.4285i | 0.865567 | − | 0.499735i | −0.000305526 | − | 1.00000i | \(-0.500097\pi\) |
0.865873 | + | 0.500265i | \(0.166764\pi\) | |||||||
\(524\) | 2.95120 | − | 5.11162i | 0.128924 | − | 0.223302i | ||||
\(525\) | −3.45110 | − | 0.595504i | −0.150618 | − | 0.0259899i | ||||
\(526\) | 13.8205 | + | 7.97925i | 0.602601 | + | 0.347912i | ||||
\(527\) | −3.21689 | + | 5.57182i | −0.140130 | + | 0.242712i | ||||
\(528\) | −3.30969 | −0.144036 | ||||||||
\(529\) | −11.4404 | + | 19.8154i | −0.497411 | + | 0.861541i | ||||
\(530\) | −2.19217 | + | 6.05742i | −0.0952219 | + | 0.263117i | ||||
\(531\) | −17.6177 | + | 10.1716i | −0.764541 | + | 0.441408i | ||||
\(532\) | − | 7.04487i | − | 0.305434i | ||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | −5.01623 | −0.217074 | ||||||||
\(535\) | 13.4527 | − | 37.1725i | 0.581610 | − | 1.60711i | ||||
\(536\) | −6.77255 | − | 11.7304i | −0.292529 | − | 0.506676i | ||||
\(537\) | −6.04443 | − | 3.48975i | −0.260837 | − | 0.150594i | ||||
\(538\) | −4.34628 | −0.187381 | ||||||||
\(539\) | −9.68258 | − | 5.59024i | −0.417058 | − | 0.240789i | ||||
\(540\) | −2.63709 | + | 0.469969i | −0.113482 | + | 0.0202242i | ||||
\(541\) | 9.48006i | 0.407580i | 0.979015 | + | 0.203790i | \(0.0653259\pi\) | ||||
−0.979015 | + | 0.203790i | \(0.934674\pi\) | |||||||
\(542\) | 22.6255 | + | 13.0628i | 0.971848 | + | 0.561097i | ||||
\(543\) | −5.92463 | + | 3.42059i | −0.254250 | + | 0.146791i | ||||
\(544\) | −15.1836 | + | 8.76626i | −0.650992 | + | 0.375850i | ||||
\(545\) | 8.29958 | + | 9.85437i | 0.355515 | + | 0.422115i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | − | 33.3911i | − | 1.42770i | −0.700299 | − | 0.713850i | \(-0.746950\pi\) | ||
0.700299 | − | 0.713850i | \(-0.253050\pi\) | |||||||
\(548\) | −0.583706 | − | 1.01101i | −0.0249347 | − | 0.0431882i | ||||
\(549\) | −9.74003 | − | 16.8702i | −0.415694 | − | 0.720004i | ||||
\(550\) | 14.7449 | − | 17.7035i | 0.628723 | − | 0.754878i | ||||
\(551\) | 17.6427i | 0.751604i | ||||||||
\(552\) | −0.183146 | + | 0.317218i | −0.00779521 | + | 0.0135017i | ||||
\(553\) | −11.3457 | + | 19.6513i | −0.482469 | + | 0.835660i | ||||
\(554\) | 11.7492i | 0.499177i | ||||||||
\(555\) | −4.14058 | + | 0.737912i | −0.175758 | + | 0.0313226i | ||||
\(556\) | −2.56767 | − | 4.44733i | −0.108893 | − | 0.188609i | ||||
\(557\) | −18.8824 | − | 32.7053i | −0.800073 | − | 1.38577i | −0.919567 | − | 0.392932i | \(-0.871461\pi\) |
0.119495 | − | 0.992835i | \(-0.461873\pi\) | |||||||
\(558\) | 4.03793i | 0.170939i | ||||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | −8.57766 | + | 7.22431i | −0.362472 | + | 0.305283i | ||||
\(561\) | −6.32162 | + | 3.64979i | −0.266899 | + | 0.154094i | ||||
\(562\) | −4.17616 | + | 2.41110i | −0.176161 | + | 0.101706i | ||||
\(563\) | 22.4307 | + | 12.9504i | 0.945343 | + | 0.545794i | 0.891631 | − | 0.452762i | \(-0.149561\pi\) |
0.0537120 | + | 0.998556i | \(0.482895\pi\) | |||||||
\(564\) | 2.50155i | 0.105334i | ||||||||
\(565\) | −10.4784 | + | 1.86741i | −0.440830 | + | 0.0785625i | ||||
\(566\) | −6.26074 | − | 3.61464i | −0.263159 | − | 0.151935i | ||||
\(567\) | −16.1193 | −0.676947 | ||||||||
\(568\) | −5.00967 | − | 2.89233i | −0.210201 | − | 0.121360i | ||||
\(569\) | 10.7725 | + | 18.6586i | 0.451609 | + | 0.782209i | 0.998486 | − | 0.0550035i | \(-0.0175170\pi\) |
−0.546878 | + | 0.837213i | \(0.684184\pi\) | |||||||
\(570\) | 5.06679 | + | 1.83367i | 0.212225 | + | 0.0768038i | ||||
\(571\) | 2.22036 | 0.0929192 | 0.0464596 | − | 0.998920i | \(-0.485206\pi\) | ||||
0.0464596 | + | 0.998920i | \(0.485206\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0.530704i | 0.0221705i | ||||||||
\(574\) | −0.376644 | + | 0.217455i | −0.0157208 | + | 0.00907641i | ||||
\(575\) | −0.596104 | − | 1.61932i | −0.0248593 | − | 0.0675301i | ||||
\(576\) | −12.6209 | + | 21.8601i | −0.525872 | + | 0.910837i | ||||
\(577\) | 6.20265 | 0.258220 | 0.129110 | − | 0.991630i | \(-0.458788\pi\) | ||||
0.129110 | + | 0.991630i | \(0.458788\pi\) | |||||||
\(578\) | 7.54199 | − | 13.0631i | 0.313705 | − | 0.543353i | ||||
\(579\) | −6.33707 | − | 3.65871i | −0.263360 | − | 0.152051i | ||||
\(580\) | −3.02845 | + | 2.55063i | −0.125749 | + | 0.105909i | ||||
\(581\) | −7.95120 | + | 13.7719i | −0.329871 | + | 0.571354i | ||||
\(582\) | −2.06028 | + | 1.18950i | −0.0854014 | + | 0.0493065i | ||||
\(583\) | −4.70823 | − | 8.15489i | −0.194995 | − | 0.337741i | ||||
\(584\) | −27.2492 | −1.12758 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −11.6265 | −0.480285 | ||||||||
\(587\) | −0.914469 | − | 1.58391i | −0.0377442 | − | 0.0653748i | 0.846536 | − | 0.532331i | \(-0.178684\pi\) |
−0.884280 | + | 0.466956i | \(0.845351\pi\) | |||||||
\(588\) | 0.508211 | − | 0.293416i | 0.0209583 | − | 0.0121003i | ||||
\(589\) | −3.47114 | + | 6.01219i | −0.143026 | + | 0.247728i | ||||
\(590\) | 12.0770 | + | 14.3395i | 0.497204 | + | 0.590346i | ||||
\(591\) | 2.76666 | + | 1.59733i | 0.113805 | + | 0.0657055i | ||||
\(592\) | −6.73403 | + | 11.6637i | −0.276767 | + | 0.479374i | ||||
\(593\) | 0.0728761 | 0.00299266 | 0.00149633 | − | 0.999999i | \(-0.499524\pi\) | ||||
0.00149633 | + | 0.999999i | \(0.499524\pi\) | |||||||
\(594\) | −4.67602 | + | 8.09910i | −0.191859 | + | 0.332310i | ||||
\(595\) | −8.41697 | + | 23.2578i | −0.345062 | + | 0.953477i | ||||
\(596\) | 11.4006 | − | 6.58212i | 0.466986 | − | 0.269614i | ||||
\(597\) | − | 6.00646i | − | 0.245828i | ||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 14.5813 | 0.595777 | 0.297888 | − | 0.954601i | \(-0.403718\pi\) | ||||
0.297888 | + | 0.954601i | \(0.403718\pi\) | |||||||
\(600\) | 1.83331 | + | 4.98017i | 0.0748444 | + | 0.203314i | ||||
\(601\) | 22.2041 | + | 38.4586i | 0.905723 | + | 1.56876i | 0.819944 | + | 0.572444i | \(0.194005\pi\) |
0.0857795 | + | 0.996314i | \(0.472662\pi\) | |||||||
\(602\) | 2.79508 | + | 1.61374i | 0.113919 | + | 0.0657712i | ||||
\(603\) | −12.6881 | −0.516700 | ||||||||
\(604\) | 9.79522 | + | 5.65527i | 0.398562 | + | 0.230110i | ||||
\(605\) | 1.59336 | + | 8.94065i | 0.0647791 | + | 0.363489i | ||||
\(606\) | 2.43491i | 0.0989115i | ||||||||
\(607\) | −31.3808 | − | 18.1177i | −1.27371 | − | 0.735375i | −0.298024 | − | 0.954558i | \(-0.596328\pi\) |
−0.975684 | + | 0.219183i | \(0.929661\pi\) | |||||||
\(608\) | −16.3836 | + | 9.45910i | −0.664445 | + | 0.383617i | ||||
\(609\) | 1.81975 | − | 1.05063i | 0.0737398 | − | 0.0425737i | ||||
\(610\) | −13.7311 | + | 11.5647i | −0.555956 | + | 0.468239i | ||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 9.26754i | 0.374618i | ||||||||
\(613\) | −1.67915 | − | 2.90838i | −0.0678203 | − | 0.117468i | 0.830121 | − | 0.557583i | \(-0.188271\pi\) |
−0.897942 | + | 0.440115i | \(0.854938\pi\) | |||||||
\(614\) | −13.1228 | − | 22.7293i | −0.529591 | − | 0.917279i | ||||
\(615\) | 0.0244356 | + | 0.137113i | 0.000985339 | + | 0.00552894i | ||||
\(616\) | − | 24.2240i | − | 0.976013i | ||||||
\(617\) | −10.5910 | + | 18.3441i | −0.426377 | + | 0.738507i | −0.996548 | − | 0.0830194i | \(-0.973544\pi\) |
0.570171 | + | 0.821526i | \(0.306877\pi\) | |||||||
\(618\) | 1.31815 | − | 2.28311i | 0.0530240 | − | 0.0918402i | ||||
\(619\) | 25.4082i | 1.02124i | 0.859807 | + | 0.510620i | \(0.170584\pi\) | ||||
−0.859807 | + | 0.510620i | \(0.829416\pi\) | |||||||
\(620\) | −1.53385 | + | 0.273354i | −0.0616008 | + | 0.0109782i | ||||
\(621\) | 0.350210 | + | 0.606582i | 0.0140534 | + | 0.0243413i | ||||
\(622\) | 4.53504 | + | 7.85493i | 0.181839 | + | 0.314954i | ||||
\(623\) | − | 24.8455i | − | 0.995416i | ||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −23.5543 | − | 8.37828i | −0.942171 | − | 0.335131i | ||||
\(626\) | 26.8813 | − | 15.5199i | 1.07439 | − | 0.620302i | ||||
\(627\) | −6.82125 | + | 3.93825i | −0.272415 | + | 0.157279i | ||||
\(628\) | 3.17056 | + | 1.83052i | 0.126519 | + | 0.0730459i | ||||
\(629\) | 29.7041i | 1.18438i | ||||||||
\(630\) | 2.72359 | + | 15.2826i | 0.108510 | + | 0.608874i | ||||
\(631\) | 37.7112 | + | 21.7725i | 1.50126 | + | 0.866751i | 0.999999 | + | 0.00145375i | \(0.000462744\pi\) |
0.501258 | + | 0.865298i | \(0.332871\pi\) | |||||||
\(632\) | 34.3853 | 1.36777 | ||||||||
\(633\) | 2.17632 | + | 1.25650i | 0.0865011 | + | 0.0499414i | ||||
\(634\) | −7.03069 | − | 12.1775i | −0.279224 | − | 0.483631i | ||||
\(635\) | 12.7123 | − | 35.1265i | 0.504470 | − | 1.39395i | ||||
\(636\) | 0.494244 | 0.0195980 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 13.8238i | 0.547288i | ||||||||
\(639\) | −4.69272 | + | 2.70934i | −0.185641 | + | 0.107180i | ||||
\(640\) | 8.34610 | + | 3.02044i | 0.329909 | + | 0.119394i | ||||
\(641\) | 24.1427 | − | 41.8164i | 0.953579 | − | 1.65165i | 0.215993 | − | 0.976395i | \(-0.430701\pi\) |
0.737586 | − | 0.675253i | \(-0.235965\pi\) | |||||||
\(642\) | 7.24423 | 0.285907 | ||||||||
\(643\) | −21.1720 | + | 36.6710i | −0.834943 | + | 1.44616i | 0.0591344 | + | 0.998250i | \(0.481166\pi\) |
−0.894077 | + | 0.447913i | \(0.852167\pi\) | |||||||
\(644\) | −0.358028 | − | 0.206708i | −0.0141083 | − | 0.00814543i | ||||
\(645\) | 0.790529 | − | 0.665802i | 0.0311271 | − | 0.0262159i | ||||
\(646\) | 19.0281 | − | 32.9576i | 0.748649 | − | 1.29670i | ||||
\(647\) | −29.7958 | + | 17.2026i | −1.17139 | + | 0.676305i | −0.954008 | − | 0.299781i | \(-0.903086\pi\) |
−0.217386 | + | 0.976086i | \(0.569753\pi\) | |||||||
\(648\) | 12.2131 | + | 21.1538i | 0.479778 | + | 0.830999i | ||||
\(649\) | −27.4045 | −1.07572 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0.826831 | 0.0324061 | ||||||||
\(652\) | 3.52244 | + | 6.10104i | 0.137949 | + | 0.238935i | ||||
\(653\) | −12.4114 | + | 7.16573i | −0.485696 | + | 0.280417i | −0.722787 | − | 0.691071i | \(-0.757139\pi\) |
0.237091 | + | 0.971487i | \(0.423806\pi\) | |||||||
\(654\) | −1.18048 | + | 2.04465i | −0.0461604 | + | 0.0799521i | ||||
\(655\) | −17.1029 | + | 14.4045i | −0.668267 | + | 0.562830i | ||||
\(656\) | 0.386237 | + | 0.222994i | 0.0150800 | + | 0.00870646i | ||||
\(657\) | −12.7626 | + | 22.1054i | −0.497916 | + | 0.862416i | ||||
\(658\) | 29.5936 | 1.15368 | ||||||||
\(659\) | 11.4116 | − | 19.7655i | 0.444532 | − | 0.769953i | −0.553487 | − | 0.832858i | \(-0.686703\pi\) |
0.998020 | + | 0.0629051i | \(0.0200365\pi\) | |||||||
\(660\) | −1.66218 | − | 0.601540i | −0.0647002 | − | 0.0234149i | ||||
\(661\) | −12.4869 | + | 7.20934i | −0.485686 | + | 0.280411i | −0.722783 | − | 0.691075i | \(-0.757137\pi\) |
0.237097 | + | 0.971486i | \(0.423804\pi\) | |||||||
\(662\) | − | 15.0796i | − | 0.586087i | ||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 24.0976 | 0.935168 | ||||||||
\(665\) | −9.08221 | + | 25.0960i | −0.352193 | + | 0.973181i | ||||
\(666\) | 9.32135 | + | 16.1450i | 0.361195 | + | 0.625608i | ||||
\(667\) | 0.896622 | + | 0.517665i | 0.0347173 | + | 0.0200441i | ||||
\(668\) | −1.19792 | −0.0463491 | ||||||||
\(669\) | −5.81818 | − | 3.35913i | −0.224944 | − | 0.129871i | ||||
\(670\) | 2.05155 | + | 11.5117i | 0.0792582 | + | 0.444734i | ||||
\(671\) | − | 26.2419i | − | 1.01306i | ||||||
\(672\) | 1.95131 | + | 1.12659i | 0.0752733 | + | 0.0434591i | ||||
\(673\) | 29.5956 | − | 17.0871i | 1.14083 | − | 0.658657i | 0.194193 | − | 0.980963i | \(-0.437791\pi\) |
0.946636 | + | 0.322306i | \(0.104458\pi\) | |||||||
\(674\) | −15.7261 | + | 9.07949i | −0.605748 | + | 0.349729i | ||||
\(675\) | 10.0000 | + | 1.72555i | 0.384900 | + | 0.0664164i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | − | 5.84695i | − | 0.224716i | −0.993668 | − | 0.112358i | \(-0.964160\pi\) | ||
0.993668 | − | 0.112358i | \(-0.0358404\pi\) | |||||||
\(678\) | −0.975215 | − | 1.68912i | −0.0374529 | − | 0.0648703i | ||||
\(679\) | −5.89165 | − | 10.2046i | −0.226101 | − | 0.391618i | ||||
\(680\) | 36.8991 | − | 6.57597i | 1.41502 | − | 0.252177i | ||||
\(681\) | 1.66054i | 0.0636319i | ||||||||
\(682\) | −2.71978 | + | 4.71079i | −0.104146 | + | 0.180386i | ||||
\(683\) | 5.67439 | − | 9.82834i | 0.217125 | − | 0.376071i | −0.736803 | − | 0.676107i | \(-0.763666\pi\) |
0.953928 | + | 0.300036i | \(0.0969989\pi\) | |||||||
\(684\) | 10.0000i | 0.382360i | ||||||||
\(685\) | 0.775953 | + | 4.35403i | 0.0296476 | + | 0.166359i | ||||
\(686\) | −11.9053 | − | 20.6206i | −0.454546 | − | 0.787298i | ||||
\(687\) | 0.262904 | + | 0.455363i | 0.0100304 | + | 0.0173732i | ||||
\(688\) | − | 3.30969i | − | 0.126181i | ||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 0.241857 | − | 0.203698i | 0.00920733 | − | 0.00775463i | ||||
\(691\) | −16.3013 | + | 9.41159i | −0.620133 | + | 0.358034i | −0.776921 | − | 0.629599i | \(-0.783219\pi\) |
0.156788 | + | 0.987632i | \(0.449886\pi\) | |||||||
\(692\) | 0.684619 | − | 0.395265i | 0.0260253 | − | 0.0150257i | ||||
\(693\) | −19.6513 | − | 11.3457i | −0.746493 | − | 0.430988i | ||||
\(694\) | − | 14.5325i | − | 0.551647i | ||||||
\(695\) | 3.41334 | + | 19.1530i | 0.129475 | + | 0.726513i | ||||
\(696\) | −2.75754 | − | 1.59207i | −0.104524 | − | 0.0603471i | ||||
\(697\) | 0.983636 | 0.0372579 | ||||||||
\(698\) | −19.2289 | − | 11.1018i | −0.727825 | − | 0.420210i | ||||
\(699\) | 2.40976 | + | 4.17383i | 0.0911455 | + | 0.157869i | ||||
\(700\) | −5.62087 | + | 2.06916i | −0.212449 | + | 0.0782069i | ||||
\(701\) | −19.1626 | −0.723763 | −0.361881 | − | 0.932224i | \(-0.617865\pi\) | ||||
−0.361881 | + | 0.932224i | \(0.617865\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 32.0518i | 1.20885i | ||||||||
\(704\) | −29.4480 | + | 17.0018i | −1.10986 | + | 0.640780i | ||||
\(705\) | 3.22499 | − | 8.91130i | 0.121460 | − | 0.335619i | ||||
\(706\) | 0.777006 | − | 1.34581i | 0.0292430 | − | 0.0506504i | ||||
\(707\) | −12.0602 | −0.453570 | ||||||||
\(708\) | 0.719193 | − | 1.24568i | 0.0270289 | − | 0.0468154i | ||||
\(709\) | −20.3375 | − | 11.7419i | −0.763791 | − | 0.440975i | 0.0668645 | − | 0.997762i | \(-0.478700\pi\) |
−0.830655 | + | 0.556787i | \(0.812034\pi\) | |||||||
\(710\) | 3.21689 | + | 3.81952i | 0.120728 | + | 0.143344i | ||||
\(711\) | 16.1049 | − | 27.8945i | 0.603982 | − | 1.04613i | ||||
\(712\) | −32.6055 | + | 18.8248i | −1.22194 | + | 0.705488i | ||||
\(713\) | 0.203698 | + | 0.352814i | 0.00762853 | + | 0.0132130i | ||||
\(714\) | −4.53252 | −0.169625 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −11.9370 | −0.446107 | ||||||||
\(717\) | −0.690220 | − | 1.19550i | −0.0257767 | − | 0.0446466i | ||||
\(718\) | −30.2393 | + | 17.4586i | −1.12852 | + | 0.651551i | ||||
\(719\) | 7.05429 | − | 12.2184i | 0.263080 | − | 0.455669i | −0.703978 | − | 0.710221i | \(-0.748595\pi\) |
0.967059 | + | 0.254553i | \(0.0819282\pi\) | |||||||
\(720\) | 12.1758 | − | 10.2547i | 0.453764 | − | 0.382170i | ||||
\(721\) | 11.3083 | + | 6.52886i | 0.421144 | + | 0.243148i | ||||
\(722\) | 9.25228 | − | 16.0254i | 0.344334 | − | 0.596404i | ||||
\(723\) | −6.02765 | −0.224171 | ||||||||
\(724\) | −5.85021 | + | 10.1329i | −0.217421 | + | 0.376585i | ||||
\(725\) | 14.0765 | − | 5.18187i | 0.522789 | − | 0.192450i | ||||
\(726\) | −1.44123 | + | 0.832096i | −0.0534892 | + | 0.0308820i | ||||
\(727\) | 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 | ||||||||
\(730\) | 22.1194 | + | 8.00497i | 0.818674 | + | 0.296277i | ||||
\(731\) | −3.64979 | − | 6.32162i | −0.134992 | − | 0.233814i | ||||
\(732\) | 1.19283 | + | 0.688681i | 0.0440883 | + | 0.0254544i | ||||
\(733\) | 10.6692 | 0.394074 | 0.197037 | − | 0.980396i | \(-0.436868\pi\) | ||||
0.197037 | + | 0.980396i | \(0.436868\pi\) | |||||||
\(734\) | −34.3770 | − | 19.8476i | −1.26888 | − | 0.732587i | ||||
\(735\) | −2.18867 | + | 0.390054i | −0.0807305 | + | 0.0143874i | ||||
\(736\) | 1.11018i | 0.0409218i | ||||||||
\(737\) | −14.8024 | − | 8.54617i | −0.545254 | − | 0.314802i | ||||
\(738\) | 0.534635 | − | 0.308672i | 0.0196802 | − | 0.0113624i | ||||
\(739\) | −1.22545 | + | 0.707513i | −0.0450788 | + | 0.0260263i | −0.522370 | − | 0.852719i | \(-0.674952\pi\) |
0.477291 | + | 0.878745i | \(0.341619\pi\) | |||||||
\(740\) | −5.50183 | + | 4.63377i | −0.202251 | + | 0.170341i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | − | 5.84695i | − | 0.214648i | ||||||
\(743\) | −14.9389 | − | 25.8748i | −0.548053 | − | 0.949256i | −0.998408 | − | 0.0564064i | \(-0.982036\pi\) |
0.450355 | − | 0.892850i | \(-0.351298\pi\) | |||||||
\(744\) | −0.626467 | − | 1.08507i | −0.0229674 | − | 0.0397807i | ||||
\(745\) | −49.0980 | + | 8.74998i | −1.79881 | + | 0.320575i | ||||
\(746\) | − | 40.9370i | − | 1.49881i | ||||||
\(747\) | 11.2865 | − | 19.5488i | 0.412952 | − | 0.715253i | ||||
\(748\) | −6.24221 | + | 10.8118i | −0.228238 | + | 0.395320i | ||||
\(749\) | 35.8809i | 1.31106i | ||||||||
\(750\) | −0.0251552 | − | 4.58119i | −0.000918538 | − | 0.167282i | ||||
\(751\) | −9.99291 | − | 17.3082i | −0.364646 | − | 0.631586i | 0.624073 | − | 0.781366i | \(-0.285477\pi\) |
−0.988719 | + | 0.149780i | \(0.952143\pi\) | |||||||
\(752\) | −15.1737 | − | 26.2816i | −0.553328 | − | 0.958391i | ||||
\(753\) | − | 3.20938i | − | 0.116956i | ||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −27.6028 | − | 32.7737i | −1.00457 | − | 1.19276i | ||||
\(756\) | 2.10553 | − | 1.21563i | 0.0765774 | − | 0.0442120i | ||||
\(757\) | 14.8024 | − | 8.54617i | 0.538003 | − | 0.310616i | −0.206266 | − | 0.978496i | \(-0.566131\pi\) |
0.744269 | + | 0.667880i | \(0.232798\pi\) | |||||||
\(758\) | −17.8964 | − | 10.3325i | −0.650025 | − | 0.375292i | ||||
\(759\) | 0.462218i | 0.0167775i | ||||||||
\(760\) | 39.8155 | − | 7.09571i | 1.44426 | − | 0.257388i | ||||
\(761\) | −36.5671 | − | 21.1120i | −1.32556 | − | 0.765310i | −0.340947 | − | 0.940083i | \(-0.610748\pi\) |
−0.984609 | + | 0.174773i | \(0.944081\pi\) | |||||||
\(762\) | 6.84552 | 0.247987 | ||||||||
\(763\) | −10.1272 | − | 5.84695i | −0.366630 | − | 0.211674i | ||||
\(764\) | 0.453830 | + | 0.786056i | 0.0164190 | + | 0.0284385i | ||||
\(765\) | 11.9477 | − | 33.0138i | 0.431968 | − | 1.19362i | ||||
\(766\) | −2.07395 | −0.0749350 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | − | 4.42107i | − | 0.159531i | ||||||
\(769\) | 20.5815 | − | 11.8827i | 0.742187 | − | 0.428502i | −0.0806767 | − | 0.996740i | \(-0.525708\pi\) |
0.822864 | + | 0.568238i | \(0.192375\pi\) | |||||||
\(770\) | −7.11628 | + | 19.6637i | −0.256453 | + | 0.708631i | ||||
\(771\) | 1.87907 | − | 3.25465i | 0.0676731 | − | 0.117213i | ||||
\(772\) | −12.5149 | −0.450422 | ||||||||
\(773\) | −0.142043 | + | 0.246026i | −0.00510894 | + | 0.00884894i | −0.868569 | − | 0.495569i | \(-0.834960\pi\) |
0.863460 | + | 0.504418i | \(0.168293\pi\) | |||||||
\(774\) | −3.96754 | − | 2.29066i | −0.142610 | − | 0.0823361i | ||||
\(775\) | 5.81644 | + | 1.00366i | 0.208933 | + | 0.0360524i | ||||
\(776\) | −8.92787 | + | 15.4635i | −0.320492 | + | 0.555108i | ||||
\(777\) | 3.30596 | − | 1.90870i | 0.118601 | − | 0.0684741i | ||||
\(778\) | −13.0865 | − | 22.6665i | −0.469174 | − | 0.812634i | ||||
\(779\) | 1.06138 | 0.0380278 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −7.29958 | −0.261199 | ||||||||
\(782\) | −1.11663 | − | 1.93405i | −0.0399305 | − | 0.0691617i | ||||
\(783\) | −5.27294 | + | 3.04434i | −0.188440 | + | 0.108796i | ||||
\(784\) | −3.55955 | + | 6.16532i | −0.127127 | + | 0.220190i | ||||
\(785\) | −8.93460 | − | 10.6084i | −0.318890 | − | 0.378628i | ||||
\(786\) | −3.54863 | − | 2.04880i | −0.126575 | − | 0.0730784i | ||||
\(787\) | 12.0671 | − | 20.9008i | 0.430145 | − | 0.745032i | −0.566741 | − | 0.823896i | \(-0.691796\pi\) |
0.996885 | + | 0.0788638i | \(0.0251292\pi\) | |||||||
\(788\) | 5.46381 | 0.194640 | ||||||||
\(789\) | −2.31925 | + | 4.01705i | −0.0825674 | + | 0.143011i | ||||
\(790\) | −27.9121 | − | 10.1014i | −0.993068 | − | 0.359390i | ||||
\(791\) | 8.36627 | − | 4.83027i | 0.297470 | − | 0.171745i | ||||
\(792\) | 34.3853i | 1.22183i | ||||||||
\(793\) | 0 | 0 | ||||||||
\(794\) | 26.7529 | 0.949424 | ||||||||
\(795\) | −1.76065 | − | 0.637176i | −0.0624437 | − | 0.0225983i | ||||
\(796\) | −5.13641 | − | 8.89652i | −0.182055 | − | 0.315329i | ||||
\(797\) | 29.7430 | + | 17.1721i | 1.05355 | + | 0.608267i | 0.923641 | − | 0.383259i | \(-0.125198\pi\) |
0.129909 | + | 0.991526i | \(0.458532\pi\) | |||||||
\(798\) | −4.89075 | −0.173131 | ||||||||
\(799\) | −57.9646 | − | 33.4659i | −2.05064 | − | 1.18394i | ||||
\(800\) | 12.3592 | + | 10.2937i | 0.436963 | + | 0.363938i | ||||
\(801\) | 35.2676i | 1.24612i | ||||||||
\(802\) | −3.80876 | − | 2.19899i | −0.134492 | − | 0.0776489i | ||||
\(803\) | −29.7786 | + | 17.1927i | −1.05086 | + | 0.606716i | ||||
\(804\) | 0.776937 | − | 0.448565i | 0.0274004 | − | 0.0158197i | ||||
\(805\) | 1.00892 | + | 1.19792i | 0.0355598 | + | 0.0422213i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | − | 1.26329i | − | 0.0444698i | ||||||
\(808\) | 9.13767 | + | 15.8269i | 0.321462 | + | 0.556789i | ||||
\(809\) | −23.8431 | − | 41.2975i | −0.838279 | − | 1.45194i | −0.891332 | − | 0.453351i | \(-0.850229\pi\) |
0.0530528 | − | 0.998592i | \(-0.483105\pi\) | |||||||
\(810\) | −3.69962 | − | 20.7593i | −0.129991 | − | 0.729408i | ||||
\(811\) | 24.5992i | 0.863793i | 0.901923 | + | 0.431897i | \(0.142155\pi\) | ||||
−0.901923 | + | 0.431897i | \(0.857845\pi\) | |||||||
\(812\) | 1.79689 | − | 3.11230i | 0.0630584 | − | 0.109220i | ||||
\(813\) | −3.79684 | + | 6.57632i | −0.133161 | + | 0.230642i | ||||
\(814\) | 25.1138i | 0.880239i | ||||||||
\(815\) | −4.68257 | − | 26.2749i | −0.164023 | − | 0.920368i | ||||
\(816\) | 2.32398 | + | 4.02525i | 0.0813556 | + | 0.140912i | ||||
\(817\) | −3.93825 | − | 6.82125i | −0.137782 | − | 0.238645i | ||||
\(818\) | 16.0097i | 0.559765i | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0.153445 | + | 0.182190i | 0.00535853 | + | 0.00636236i | ||||
\(821\) | 14.9819 | − | 8.64979i | 0.522871 | − | 0.301880i | −0.215237 | − | 0.976562i | \(-0.569053\pi\) |
0.738109 | + | 0.674682i | \(0.235719\pi\) | |||||||
\(822\) | −0.701870 | + | 0.405225i | −0.0244805 | + | 0.0141338i | ||||
\(823\) | −28.2000 | − | 16.2813i | −0.982990 | − | 0.567529i | −0.0798182 | − | 0.996809i | \(-0.525434\pi\) |
−0.903171 | + | 0.429280i | \(0.858767\pi\) | |||||||
\(824\) | − | 19.7869i | − | 0.689311i | ||||||
\(825\) | 5.14568 | + | 4.28574i | 0.179150 | + | 0.149210i | ||||
\(826\) | −14.7365 | − | 8.50812i | −0.512748 | − | 0.296035i | ||||
\(827\) | 15.4702 | 0.537951 | 0.268976 | − | 0.963147i | \(-0.413315\pi\) | ||||
0.268976 | + | 0.963147i | \(0.413315\pi\) | |||||||
\(828\) | 0.508211 | + | 0.293416i | 0.0176616 | + | 0.0101969i | ||||
\(829\) | 7.26180 | + | 12.5778i | 0.252213 | + | 0.436845i | 0.964135 | − | 0.265413i | \(-0.0855084\pi\) |
−0.711922 | + | 0.702258i | \(0.752175\pi\) | |||||||
\(830\) | −19.5611 | − | 7.07914i | −0.678976 | − | 0.245721i | ||||
\(831\) | −3.41503 | −0.118466 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 15.7013i | 0.544018i | ||||||||
\(834\) | −3.08746 | + | 1.78254i | −0.106910 | + | 0.0617245i | ||||
\(835\) | 4.26737 | + | 1.54436i | 0.147679 | + | 0.0534447i | ||||
\(836\) | −6.73557 | + | 11.6663i | −0.232955 | + | 0.403489i | ||||
\(837\) | −2.39585 | −0.0828127 | ||||||||
\(838\) | 9.98736 | − | 17.2986i | 0.345008 | − | 0.597571i | ||||
\(839\) | −0.706561 | − | 0.407933i | −0.0243932 | − | 0.0140834i | 0.487754 | − | 0.872981i | \(-0.337816\pi\) |
−0.512147 | + | 0.858898i | \(0.671150\pi\) | |||||||
\(840\) | −3.10291 | − | 3.68419i | −0.107061 | − | 0.127117i | ||||
\(841\) | 10.0000 | − | 17.3205i | 0.344828 | − | 0.597259i | ||||
\(842\) | 17.5846 | − | 10.1524i | 0.606004 | − | 0.349876i | ||||
\(843\) | −0.700811 | − | 1.21384i | −0.0241372 | − | 0.0418069i | ||||
\(844\) | 4.29797 | 0.147942 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −42.0073 | −1.44424 | ||||||||
\(847\) | −4.12140 | − | 7.13847i | −0.141613 | − | 0.245281i | ||||
\(848\) | −5.19258 | + | 2.99794i | −0.178314 | + | 0.102950i | ||||
\(849\) | 1.05063 | − | 1.81975i | 0.0360575 | − | 0.0624535i | ||||
\(850\) | −31.8845 | − | 5.50183i | −1.09363 | − | 0.188711i | ||||
\(851\) | 1.62891 | + | 0.940450i | 0.0558382 | + | 0.0322382i | ||||
\(852\) | 0.191567 | − | 0.331804i | 0.00656299 | − | 0.0113674i | ||||
\(853\) | 20.0856 | 0.687719 | 0.343859 | − | 0.939021i | \(-0.388266\pi\) | ||||
0.343859 | + | 0.939021i | \(0.388266\pi\) | |||||||
\(854\) | 8.14716 | − | 14.1113i | 0.278790 | − | 0.482878i | ||||
\(855\) | 12.8919 | − | 35.6230i | 0.440895 | − | 1.21828i | ||||
\(856\) | 47.0875 | − | 27.1860i | 1.60942 | − | 0.929197i | ||||
\(857\) | 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 | \(0.259972\pi\) | |||||||
\(860\) | 0.601540 | − | 1.66218i | 0.0205123 | − | 0.0566798i | ||||
\(861\) | −0.0632055 | − | 0.109475i | −0.00215404 | − | 0.00373090i | ||||
\(862\) | −9.93355 | − | 5.73514i | −0.338338 | − | 0.195340i | ||||
\(863\) | 20.8275 | 0.708977 | 0.354489 | − | 0.935060i | \(-0.384655\pi\) | ||||
0.354489 | + | 0.935060i | \(0.384655\pi\) | |||||||
\(864\) | −5.65416 | − | 3.26443i | −0.192358 | − | 0.111058i | ||||
\(865\) | −2.94839 | + | 0.525447i | −0.100248 | + | 0.0178657i | ||||
\(866\) | − | 29.4134i | − | 0.999509i | ||||||
\(867\) | 3.79692 | + | 2.19215i | 0.128950 | + | 0.0744494i | ||||
\(868\) | 1.22467 | − | 0.707062i | 0.0415679 | − | 0.0239993i | ||||
\(869\) | 37.5771 | − | 21.6952i | 1.27472 | − | 0.735958i | ||||
\(870\) | 1.77072 | + | 2.10243i | 0.0600330 | + | 0.0712792i | ||||
\(871\) | 0 | 0 | ||||||||
\(872\) | 17.7203i | 0.600084i | ||||||||
\(873\) | 8.36303 | + | 14.4852i | 0.283046 | + | 0.490249i | ||||
\(874\) | −1.20488 | − | 2.08691i | −0.0407557 | − | 0.0705909i | ||||
\(875\) | 22.6908 | − | 0.124594i | 0.767089 | − | 0.00421206i | ||||
\(876\) | − | 1.80479i | − | 0.0609782i | ||||||
\(877\) | −23.2972 | + | 40.3520i | −0.786691 | + | 1.36259i | 0.141293 | + | 0.989968i | \(0.454874\pi\) |
−0.927984 | + | 0.372621i | \(0.878459\pi\) | |||||||
\(878\) | −4.19210 | + | 7.26094i | −0.141477 | + | 0.245045i | ||||
\(879\) | − | 3.37935i | − | 0.113982i | ||||||
\(880\) | 21.1118 | − | 3.76243i | 0.711678 | − | 0.126832i | ||||
\(881\) | 11.9223 | + | 20.6501i | 0.401674 | + | 0.695719i | 0.993928 | − | 0.110032i | \(-0.0350953\pi\) |
−0.592254 | + | 0.805751i | \(0.701762\pi\) | |||||||
\(882\) | 4.92718 | + | 8.53413i | 0.165907 | + | 0.287359i | ||||
\(883\) | 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 | ||||
\(886\) | −39.3246 | + | 22.7041i | −1.32114 | + | 0.762758i | ||||
\(887\) | −24.7505 | + | 14.2897i | −0.831042 | + | 0.479802i | −0.854209 | − | 0.519929i | \(-0.825958\pi\) |
0.0231673 | + | 0.999732i | \(0.492625\pi\) | |||||||
\(888\) | −5.00967 | − | 2.89233i | −0.168113 | − | 0.0970603i | ||||
\(889\) | 33.9060i | 1.13717i | ||||||||
\(890\) | 31.9975 | − | 5.70242i | 1.07256 | − | 0.191146i | ||||
\(891\) | 26.6937 | + | 15.4116i | 0.894271 | + | 0.516308i | ||||
\(892\) | −11.4902 | −0.384720 | ||||||||
\(893\) | −62.5459 | − | 36.1109i | −2.09302 | − | 1.20840i | ||||
\(894\) | −4.56949 | − | 7.91459i | −0.152827 | − | 0.264704i | ||||
\(895\) | 42.5233 | + | 15.3891i | 1.42140 | + | 0.514402i | ||||
\(896\) | −8.05611 | −0.269136 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | − | 14.8180i | − | 0.494483i | ||||||
\(899\) | −3.06697 | + | 1.77072i | −0.102289 | + | 0.0590568i | ||||
\(900\) | 7.97866 | − | 2.93712i | 0.265955 | − | 0.0979039i | ||||
\(901\) | −6.61201 | + | 11.4523i | −0.220278 | + | 0.381533i | ||||
\(902\) | 0.831632 | 0.0276903 | ||||||||
\(903\) | −0.469049 | + | 0.812417i | −0.0156090 | + | 0.0270356i | ||||
\(904\) | −12.6778 | − | 7.31952i | −0.421657 | − | 0.243444i | ||||
\(905\) | 33.9035 | − | 28.5543i | 1.12699 | − | 0.949177i | ||||
\(906\) | 3.92605 | − | 6.80011i | 0.130434 | − | 0.225919i | ||||
\(907\) | 5.55457 | − | 3.20693i | 0.184436 | − | 0.106484i | −0.404939 | − | 0.914344i | \(-0.632707\pi\) |
0.589375 | + | 0.807859i | \(0.299374\pi\) | |||||||
\(908\) | 1.42000 | + | 2.45952i | 0.0471245 | + | 0.0816220i | ||||
\(909\) | 17.1191 | 0.567805 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 22.2204 | 0.736193 | 0.368097 | − | 0.929788i | \(-0.380010\pi\) | ||||
0.368097 | + | 0.929788i | \(0.380010\pi\) | |||||||
\(912\) | 2.50766 | + | 4.34339i | 0.0830369 | + | 0.143824i | ||||
\(913\) | 26.3345 | − | 15.2042i | 0.871543 | − | 0.503186i | ||||
\(914\) | −4.88719 | + | 8.46486i | −0.161654 | + | 0.279993i | ||||
\(915\) | −3.36138 | − | 3.99108i | −0.111124 | − | 0.131941i | ||||
\(916\) | 0.778805 | + | 0.449643i | 0.0257324 | + | 0.0148566i | ||||
\(917\) | 10.1478 | − | 17.5765i | 0.335109 | − | 0.580426i | ||||
\(918\) | 13.1335 | 0.433472 | ||||||||
\(919\) | 13.0632 | − | 22.6261i | 0.430915 | − | 0.746367i | −0.566037 | − | 0.824380i | \(-0.691524\pi\) |
0.996952 | + | 0.0780125i | \(0.0248574\pi\) | |||||||
\(920\) | 0.807638 | − | 2.23167i | 0.0266270 | − | 0.0735759i | ||||
\(921\) | 6.60649 | − | 3.81426i | 0.217691 | − | 0.125684i | ||||
\(922\) | − | 5.39220i | − | 0.177583i | ||||||
\(923\) | 0 | 0 | ||||||||
\(924\) | 1.60442 | 0.0527817 | ||||||||
\(925\) | 25.5730 | − | 9.41397i | 0.840836 | − | 0.309529i | ||||
\(926\) | 1.18048 | + | 2.04465i | 0.0387929 | + | 0.0671913i | ||||
\(927\) | −16.0518 | − | 9.26754i | −0.527212 | − | 0.304386i | ||||
\(928\) | −9.65067 | −0.316799 | ||||||||
\(929\) | −20.7346 | − | 11.9711i | −0.680281 | − | 0.392760i | 0.119680 | − | 0.992813i | \(-0.461813\pi\) |
−0.799961 | + | 0.600052i | \(0.795146\pi\) | |||||||
\(930\) | 0.189770 | + | 1.06484i | 0.00622281 | + | 0.0349174i | ||||
\(931\) | 16.9423i | 0.555261i | ||||||||
\(932\) | 7.13847 | + | 4.12140i | 0.233828 | + | 0.135001i | ||||
\(933\) | −2.28311 | + | 1.31815i | −0.0747457 | + | 0.0431544i | ||||
\(934\) | −33.7313 | + | 19.4748i | −1.10372 | + | 0.637235i | ||||
\(935\) | 36.1752 | − | 30.4676i | 1.18306 | − | 0.996397i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 18.5046i | 0.604518i | 0.953226 | + | 0.302259i | \(0.0977407\pi\) | ||||
−0.953226 | + | 0.302259i | \(0.902259\pi\) | |||||||
\(938\) | −5.30656 | − | 9.19124i | −0.173265 | − | 0.300104i | ||||
\(939\) | 4.51102 | + | 7.81332i | 0.147212 | + | 0.254978i | ||||
\(940\) | −2.84375 | − | 15.9569i | −0.0927530 | − | 0.520456i | ||||
\(941\) | − | 14.3788i | − | 0.468735i | −0.972148 | − | 0.234368i | \(-0.924698\pi\) | ||
0.972148 | − | 0.234368i | \(-0.0753020\pi\) | |||||||
\(942\) | 1.27080 | − | 2.20109i | 0.0414049 | − | 0.0717154i | ||||
\(943\) | 0.0311425 | − | 0.0539404i | 0.00101414 | − | 0.00175654i | ||||
\(944\) | 17.4496i | 0.567938i | ||||||||
\(945\) | −9.06772 | + | 1.61600i | −0.294973 | + | 0.0525685i | ||||
\(946\) | −3.08578 | − | 5.34473i | −0.100327 | − | 0.173772i | ||||
\(947\) | 29.1594 | + | 50.5056i | 0.947554 | + | 1.64121i | 0.750555 | + | 0.660807i | \(0.229786\pi\) |
0.196998 | + | 0.980404i | \(0.436881\pi\) | |||||||
\(948\) | 2.27744i | 0.0739677i | ||||||||
\(949\) | 0 | 0 | ||||||||
\(950\) | −34.4045 | − | 5.93667i | −1.11623 | − | 0.192611i | ||||
\(951\) | 3.53951 | − | 2.04354i | 0.114777 | − | 0.0662663i | ||||
\(952\) | −29.4613 | + | 17.0095i | −0.954847 | + | 0.551281i | ||||
\(953\) | −11.9507 | − | 6.89975i | −0.387122 | − | 0.223505i | 0.293791 | − | 0.955870i | \(-0.405083\pi\) |
−0.680912 | + | 0.732365i | \(0.738417\pi\) | |||||||
\(954\) | 8.29958i | 0.268709i | ||||||||
\(955\) | −0.603301 | − | 3.38525i | −0.0195224 | − | 0.109544i | ||||
\(956\) | −2.04465 | − | 1.18048i | −0.0661287 | − | 0.0381794i | ||||
\(957\) | −4.01801 | −0.129884 | ||||||||
\(958\) | 31.6759 | + | 18.2881i | 1.02340 | + | 0.590862i | ||||
\(959\) | −2.00709 | − | 3.47639i | −0.0648124 | − | 0.112258i | ||||
\(960\) | −2.30090 | + | 6.35785i | −0.0742611 | + | 0.205199i | ||||
\(961\) | 29.6065 | 0.955047 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | − | 50.9319i | − | 1.64126i | ||||||
\(964\) | −8.92790 | + | 5.15452i | −0.287548 | + | 0.166016i | ||||
\(965\) | 44.5820 | + | 16.1342i | 1.43515 | + | 0.519378i | ||||
\(966\) | −0.143502 | + | 0.248553i | −0.00461711 | + | 0.00799707i | ||||
\(967\) | 30.3474 | 0.975906 | 0.487953 | − | 0.872870i | \(-0.337744\pi\) | ||||
0.487953 | + | 0.872870i | \(0.337744\pi\) | |||||||
\(968\) | −6.24534 | + | 10.8172i | −0.200733 | + | 0.347679i | ||||
\(969\) | 9.57943 | + | 5.53069i | 0.307736 | + | 0.177671i | ||||
\(970\) | 11.7899 | − | 9.92970i | 0.378550 | − | 0.318824i | ||||
\(971\) | −22.0506 | + | 38.1928i | −0.707638 | + | 1.22567i | 0.258092 | + | 0.966120i | \(0.416906\pi\) |
−0.965731 | + | 0.259545i | \(0.916427\pi\) | |||||||
\(972\) | −4.51337 | + | 2.60580i | −0.144767 | + | 0.0835810i | ||||
\(973\) | −8.82900 | − | 15.2923i | −0.283045 | − | 0.490248i | ||||
\(974\) | −26.5074 | −0.849351 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −16.7093 | −0.534853 | ||||||||
\(977\) | 11.1610 | + | 19.3314i | 0.357071 | + | 0.618466i | 0.987470 | − | 0.157806i | \(-0.0504420\pi\) |
−0.630399 | + | 0.776271i | \(0.717109\pi\) | |||||||
\(978\) | 4.23551 | − | 2.44537i | 0.135437 | − | 0.0781944i | ||||
\(979\) | −23.7547 | + | 41.1444i | −0.759204 | + | 1.31498i | ||||
\(980\) | −2.90822 | + | 2.44937i | −0.0928996 | + | 0.0782422i | ||||
\(981\) | 14.3753 | + | 8.29958i | 0.458968 | + | 0.264985i | ||||
\(982\) | 6.34189 | − | 10.9845i | 0.202378 | − | 0.350529i | ||||
\(983\) | 4.03793 | 0.128790 | 0.0643950 | − | 0.997924i | \(-0.479488\pi\) | ||||
0.0643950 | + | 0.997924i | \(0.479488\pi\) | |||||||
\(984\) | −0.0957781 | + | 0.165893i | −0.00305330 | + | 0.00528846i | ||||
\(985\) | −19.4638 | − | 7.04392i | −0.620167 | − | 0.224438i | ||||
\(986\) | 16.8125 | − | 9.70671i | 0.535419 | − | 0.309125i | ||||
\(987\) | 8.60167i | 0.273794i | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −0.462218 | −0.0146977 | ||||||||
\(990\) | 10.1014 | − | 27.9121i | 0.321042 | − | 0.887105i | ||||
\(991\) | −14.8250 | − | 25.6777i | −0.470932 | − | 0.815678i | 0.528515 | − | 0.848924i | \(-0.322749\pi\) |
−0.999447 | + | 0.0332459i | \(0.989416\pi\) | |||||||
\(992\) | −3.28871 | − | 1.89874i | −0.104417 | − | 0.0602849i | ||||
\(993\) | 4.38304 | 0.139092 | ||||||||
\(994\) | −3.92527 | − | 2.26626i | −0.124502 | − | 0.0718813i | ||||
\(995\) | 6.82811 | + | 38.3140i | 0.216466 | + | 1.21463i | ||||
\(996\) | 1.59605i | 0.0505728i | ||||||||
\(997\) | 19.2052 | + | 11.0881i | 0.608233 | + | 0.351164i | 0.772274 | − | 0.635290i | \(-0.219119\pi\) |
−0.164040 | + | 0.986454i | \(0.552453\pi\) | |||||||
\(998\) | −19.3514 | + | 11.1725i | −0.612557 | + | 0.353660i | ||||
\(999\) | −9.57943 | + | 5.53069i | −0.303080 | + | 0.174983i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))