Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [361,2,Mod(28,361)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(361, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("361.28");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 361 = 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 361.e (of order \(9\), degree \(6\), 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: | \(2.88259951297\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 19) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 62.1 | ||
Root | \(-0.173648 + 0.984808i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 361.62 |
Dual form | 361.2.e.f.99.1 |
$q$-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 \(\left(\mathbb{Z}/361\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.26604 | − | 0.460802i | 0.895229 | − | 0.325837i | 0.146889 | − | 0.989153i | \(-0.453074\pi\) |
0.748339 | + | 0.663316i | \(0.230852\pi\) | |||||||
\(3\) | −0.500000 | + | 2.83564i | −0.288675 | + | 1.63716i | 0.403179 | + | 0.915121i | \(0.367905\pi\) |
−0.691854 | + | 0.722037i | \(0.743206\pi\) | |||||||
\(4\) | −0.141559 | + | 0.118782i | −0.0707796 | + | 0.0593912i | ||||
\(5\) | 0.673648 | + | 0.565258i | 0.301265 | + | 0.252791i | 0.780870 | − | 0.624693i | \(-0.214776\pi\) |
−0.479606 | + | 0.877484i | \(0.659220\pi\) | |||||||
\(6\) | 0.673648 | + | 3.82045i | 0.275016 | + | 1.55969i | ||||
\(7\) | −0.173648 | − | 0.300767i | −0.0656328 | − | 0.113679i | 0.831342 | − | 0.555762i | \(-0.187573\pi\) |
−0.896975 | + | 0.442082i | \(0.854240\pi\) | |||||||
\(8\) | −1.47178 | + | 2.54920i | −0.520353 | + | 0.901278i | ||||
\(9\) | −4.97178 | − | 1.80958i | −1.65726 | − | 0.603193i | ||||
\(10\) | 1.11334 | + | 0.405223i | 0.352069 | + | 0.128143i | ||||
\(11\) | 1.11334 | − | 1.92836i | 0.335685 | − | 0.581423i | −0.647931 | − | 0.761699i | \(-0.724366\pi\) |
0.983616 | + | 0.180276i | \(0.0576989\pi\) | |||||||
\(12\) | −0.266044 | − | 0.460802i | −0.0768004 | − | 0.133022i | ||||
\(13\) | 0.446967 | + | 2.53487i | 0.123966 | + | 0.703047i | 0.981916 | + | 0.189315i | \(0.0606266\pi\) |
−0.857950 | + | 0.513733i | \(0.828262\pi\) | |||||||
\(14\) | −0.358441 | − | 0.300767i | −0.0957973 | − | 0.0803835i | ||||
\(15\) | −1.93969 | + | 1.62760i | −0.500826 | + | 0.420243i | ||||
\(16\) | −0.624485 | + | 3.54163i | −0.156121 | + | 0.885408i | ||||
\(17\) | −0.439693 | + | 0.160035i | −0.106641 | + | 0.0388142i | −0.394790 | − | 0.918772i | \(-0.629183\pi\) |
0.288149 | + | 0.957586i | \(0.406960\pi\) | |||||||
\(18\) | −7.12836 | −1.68017 | ||||||||
\(19\) | 0 | 0 | ||||||||
\(20\) | −0.162504 | −0.0363370 | ||||||||
\(21\) | 0.939693 | − | 0.342020i | 0.205058 | − | 0.0746349i | ||||
\(22\) | 0.520945 | − | 2.95442i | 0.111066 | − | 0.629885i | ||||
\(23\) | −2.06418 | + | 1.73205i | −0.430411 | + | 0.361158i | −0.832107 | − | 0.554616i | \(-0.812865\pi\) |
0.401696 | + | 0.915773i | \(0.368421\pi\) | |||||||
\(24\) | −6.49273 | − | 5.44804i | −1.32532 | − | 1.11208i | ||||
\(25\) | −0.733956 | − | 4.16247i | −0.146791 | − | 0.832494i | ||||
\(26\) | 1.73396 | + | 3.00330i | 0.340057 | + | 0.588995i | ||||
\(27\) | 3.29813 | − | 5.71253i | 0.634726 | − | 1.09938i | ||||
\(28\) | 0.0603074 | + | 0.0219501i | 0.0113970 | + | 0.00414818i | ||||
\(29\) | 6.46451 | + | 2.35289i | 1.20043 | + | 0.436920i | 0.863374 | − | 0.504565i | \(-0.168347\pi\) |
0.337055 | + | 0.941485i | \(0.390569\pi\) | |||||||
\(30\) | −1.70574 | + | 2.95442i | −0.311424 | + | 0.539401i | ||||
\(31\) | 3.55303 | + | 6.15403i | 0.638144 | + | 1.10530i | 0.985840 | + | 0.167690i | \(0.0536307\pi\) |
−0.347696 | + | 0.937607i | \(0.613036\pi\) | |||||||
\(32\) | −0.180922 | − | 1.02606i | −0.0319828 | − | 0.181384i | ||||
\(33\) | 4.91147 | + | 4.12122i | 0.854978 | + | 0.717412i | ||||
\(34\) | −0.482926 | + | 0.405223i | −0.0828211 | + | 0.0694952i | ||||
\(35\) | 0.0530334 | − | 0.300767i | 0.00896428 | − | 0.0508390i | ||||
\(36\) | 0.918748 | − | 0.334397i | 0.153125 | − | 0.0557328i | ||||
\(37\) | 4.94356 | 0.812717 | 0.406358 | − | 0.913714i | \(-0.366798\pi\) | ||||
0.406358 | + | 0.913714i | \(0.366798\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −7.41147 | −1.18679 | ||||||||
\(40\) | −2.43242 | + | 0.885328i | −0.384599 | + | 0.139983i | ||||
\(41\) | 0.429892 | − | 2.43804i | 0.0671379 | − | 0.380758i | −0.932662 | − | 0.360752i | \(-0.882520\pi\) |
0.999800 | − | 0.0200065i | \(-0.00636868\pi\) | |||||||
\(42\) | 1.03209 | − | 0.866025i | 0.159255 | − | 0.133631i | ||||
\(43\) | 2.98886 | + | 2.50795i | 0.455796 | + | 0.382458i | 0.841581 | − | 0.540130i | \(-0.181625\pi\) |
−0.385785 | + | 0.922589i | \(0.626069\pi\) | |||||||
\(44\) | 0.0714517 | + | 0.405223i | 0.0107718 | + | 0.0610897i | ||||
\(45\) | −2.32635 | − | 4.02936i | −0.346792 | − | 0.600661i | ||||
\(46\) | −1.81521 | + | 3.14403i | −0.267638 | + | 0.463562i | ||||
\(47\) | 6.85117 | + | 2.49362i | 0.999345 | + | 0.363732i | 0.789332 | − | 0.613967i | \(-0.210427\pi\) |
0.210013 | + | 0.977699i | \(0.432649\pi\) | |||||||
\(48\) | −9.73055 | − | 3.54163i | −1.40448 | − | 0.511190i | ||||
\(49\) | 3.43969 | − | 5.95772i | 0.491385 | − | 0.851103i | ||||
\(50\) | −2.84730 | − | 4.93166i | −0.402669 | − | 0.697442i | ||||
\(51\) | −0.233956 | − | 1.32683i | −0.0327603 | − | 0.185793i | ||||
\(52\) | −0.364370 | − | 0.305743i | −0.0505291 | − | 0.0423989i | ||||
\(53\) | −2.17365 | + | 1.82391i | −0.298574 | + | 0.250533i | −0.779750 | − | 0.626091i | \(-0.784654\pi\) |
0.481177 | + | 0.876624i | \(0.340210\pi\) | |||||||
\(54\) | 1.54323 | − | 8.75211i | 0.210007 | − | 1.19101i | ||||
\(55\) | 1.84002 | − | 0.669713i | 0.248109 | − | 0.0903041i | ||||
\(56\) | 1.02229 | 0.136609 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 9.26857 | 1.21702 | ||||||||
\(59\) | 5.92514 | − | 2.15658i | 0.771388 | − | 0.280762i | 0.0738112 | − | 0.997272i | \(-0.476484\pi\) |
0.697577 | + | 0.716510i | \(0.254262\pi\) | |||||||
\(60\) | 0.0812519 | − | 0.460802i | 0.0104896 | − | 0.0594893i | ||||
\(61\) | 6.99273 | − | 5.86759i | 0.895327 | − | 0.751268i | −0.0739445 | − | 0.997262i | \(-0.523559\pi\) |
0.969271 | + | 0.245994i | \(0.0791143\pi\) | |||||||
\(62\) | 7.33409 | + | 6.15403i | 0.931431 | + | 0.781563i | ||||
\(63\) | 0.319078 | + | 1.80958i | 0.0402000 | + | 0.227986i | ||||
\(64\) | −4.29813 | − | 7.44459i | −0.537267 | − | 0.930573i | ||||
\(65\) | −1.13176 | + | 1.96026i | −0.140377 | + | 0.243141i | ||||
\(66\) | 8.11721 | + | 2.95442i | 0.999160 | + | 0.363664i | ||||
\(67\) | −7.21213 | − | 2.62500i | −0.881102 | − | 0.320695i | −0.138448 | − | 0.990370i | \(-0.544211\pi\) |
−0.742655 | + | 0.669675i | \(0.766434\pi\) | |||||||
\(68\) | 0.0432332 | − | 0.0748822i | 0.00524280 | − | 0.00908080i | ||||
\(69\) | −3.87939 | − | 6.71929i | −0.467023 | − | 0.808908i | ||||
\(70\) | −0.0714517 | − | 0.405223i | −0.00854012 | − | 0.0484334i | ||||
\(71\) | −7.12836 | − | 5.98140i | −0.845980 | − | 0.709862i | 0.112920 | − | 0.993604i | \(-0.463979\pi\) |
−0.958901 | + | 0.283742i | \(0.908424\pi\) | |||||||
\(72\) | 11.9304 | − | 10.0108i | 1.40601 | − | 1.17978i | ||||
\(73\) | 0.241230 | − | 1.36808i | 0.0282338 | − | 0.160122i | −0.967431 | − | 0.253134i | \(-0.918539\pi\) |
0.995665 | + | 0.0930125i | \(0.0296497\pi\) | |||||||
\(74\) | 6.25877 | − | 2.27801i | 0.727567 | − | 0.264813i | ||||
\(75\) | 12.1702 | 1.40530 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −0.773318 | −0.0881278 | ||||||||
\(78\) | −9.38326 | + | 3.41523i | −1.06244 | + | 0.386698i | ||||
\(79\) | −2.05690 | + | 11.6653i | −0.231420 | + | 1.31245i | 0.618604 | + | 0.785703i | \(0.287698\pi\) |
−0.850024 | + | 0.526744i | \(0.823413\pi\) | |||||||
\(80\) | −2.42262 | + | 2.03282i | −0.270857 | + | 0.227276i | ||||
\(81\) | 2.39053 | + | 2.00589i | 0.265614 | + | 0.222877i | ||||
\(82\) | −0.579193 | − | 3.28476i | −0.0639611 | − | 0.362742i | ||||
\(83\) | 7.41534 | + | 12.8438i | 0.813940 | + | 1.40979i | 0.910087 | + | 0.414418i | \(0.136015\pi\) |
−0.0961469 | + | 0.995367i | \(0.530652\pi\) | |||||||
\(84\) | −0.0923963 | + | 0.160035i | −0.0100813 | + | 0.0174613i | ||||
\(85\) | −0.386659 | − | 0.140732i | −0.0419391 | − | 0.0152646i | ||||
\(86\) | 4.93969 | + | 1.79790i | 0.532661 | + | 0.193873i | ||||
\(87\) | −9.90420 | + | 17.1546i | −1.06184 | + | 1.83916i | ||||
\(88\) | 3.27719 | + | 5.67626i | 0.349349 | + | 0.605091i | ||||
\(89\) | −1.78699 | − | 10.1345i | −0.189420 | − | 1.07426i | −0.920143 | − | 0.391582i | \(-0.871928\pi\) |
0.730723 | − | 0.682674i | \(-0.239183\pi\) | |||||||
\(90\) | −4.80200 | − | 4.02936i | −0.506176 | − | 0.424732i | ||||
\(91\) | 0.684793 | − | 0.574609i | 0.0717858 | − | 0.0602354i | ||||
\(92\) | 0.0864665 | − | 0.490376i | 0.00901475 | − | 0.0511252i | ||||
\(93\) | −19.2271 | + | 6.99811i | −1.99376 | + | 0.725670i | ||||
\(94\) | 9.82295 | 1.01316 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 3.00000 | 0.306186 | ||||||||
\(97\) | −8.88326 | + | 3.23324i | −0.901958 | + | 0.328286i | −0.751037 | − | 0.660260i | \(-0.770446\pi\) |
−0.150921 | + | 0.988546i | \(0.548224\pi\) | |||||||
\(98\) | 1.60947 | − | 9.12776i | 0.162581 | − | 0.922043i | ||||
\(99\) | −9.02481 | + | 7.57272i | −0.907028 | + | 0.761087i | ||||
\(100\) | 0.598326 | + | 0.502055i | 0.0598326 | + | 0.0502055i | ||||
\(101\) | −1.60607 | − | 9.10846i | −0.159810 | − | 0.906325i | −0.954256 | − | 0.298991i | \(-0.903350\pi\) |
0.794446 | − | 0.607334i | \(-0.207761\pi\) | |||||||
\(102\) | −0.907604 | − | 1.57202i | −0.0898662 | − | 0.155653i | ||||
\(103\) | 2.75490 | − | 4.77163i | 0.271448 | − | 0.470162i | −0.697785 | − | 0.716308i | \(-0.745831\pi\) |
0.969233 | + | 0.246145i | \(0.0791640\pi\) | |||||||
\(104\) | −7.11974 | − | 2.59137i | −0.698148 | − | 0.254105i | ||||
\(105\) | 0.826352 | + | 0.300767i | 0.0806437 | + | 0.0293519i | ||||
\(106\) | −1.91147 | + | 3.31077i | −0.185659 | + | 0.321570i | ||||
\(107\) | −5.11721 | − | 8.86327i | −0.494699 | − | 0.856845i | 0.505282 | − | 0.862954i | \(-0.331389\pi\) |
−0.999981 | + | 0.00610974i | \(0.998055\pi\) | |||||||
\(108\) | 0.211667 | + | 1.20042i | 0.0203677 | + | 0.115511i | ||||
\(109\) | −1.39646 | − | 1.17177i | −0.133757 | − | 0.112235i | 0.573455 | − | 0.819237i | \(-0.305603\pi\) |
−0.707212 | + | 0.707002i | \(0.750047\pi\) | |||||||
\(110\) | 2.02094 | − | 1.69577i | 0.192690 | − | 0.161686i | ||||
\(111\) | −2.47178 | + | 14.0182i | −0.234611 | + | 1.33055i | ||||
\(112\) | 1.17365 | − | 0.427173i | 0.110899 | − | 0.0403641i | ||||
\(113\) | −17.6878 | −1.66393 | −0.831963 | − | 0.554830i | \(-0.812783\pi\) | ||||
−0.831963 | + | 0.554830i | \(0.812783\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −2.36959 | −0.220965 | ||||||||
\(116\) | −1.19459 | + | 0.434796i | −0.110915 | + | 0.0403698i | ||||
\(117\) | 2.36484 | − | 13.4117i | 0.218629 | − | 1.23991i | ||||
\(118\) | 6.50774 | − | 5.46064i | 0.599086 | − | 0.502693i | ||||
\(119\) | 0.124485 | + | 0.104455i | 0.0114115 | + | 0.00957541i | ||||
\(120\) | −1.29426 | − | 7.34013i | −0.118150 | − | 0.670059i | ||||
\(121\) | 3.02094 | + | 5.23243i | 0.274631 | + | 0.475675i | ||||
\(122\) | 6.14930 | − | 10.6509i | 0.556731 | − | 0.964287i | ||||
\(123\) | 6.69846 | + | 2.43804i | 0.603980 | + | 0.219831i | ||||
\(124\) | −1.23396 | − | 0.449123i | −0.110812 | − | 0.0403324i | ||||
\(125\) | 4.05690 | − | 7.02676i | 0.362861 | − | 0.628493i | ||||
\(126\) | 1.23783 | + | 2.14398i | 0.110274 | + | 0.191001i | ||||
\(127\) | 2.01501 | + | 11.4277i | 0.178804 | + | 1.01405i | 0.933661 | + | 0.358157i | \(0.116595\pi\) |
−0.754858 | + | 0.655889i | \(0.772294\pi\) | |||||||
\(128\) | −7.27584 | − | 6.10516i | −0.643100 | − | 0.539625i | ||||
\(129\) | −8.60607 | + | 7.22135i | −0.757722 | + | 0.635804i | ||||
\(130\) | −0.529563 | + | 3.00330i | −0.0464457 | + | 0.263407i | ||||
\(131\) | −1.73396 | + | 0.631108i | −0.151496 | + | 0.0551402i | −0.416655 | − | 0.909065i | \(-0.636798\pi\) |
0.265159 | + | 0.964205i | \(0.414576\pi\) | |||||||
\(132\) | −1.18479 | −0.103123 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −10.3405 | −0.893282 | ||||||||
\(135\) | 5.45084 | − | 1.98394i | 0.469133 | − | 0.170751i | ||||
\(136\) | 0.239170 | − | 1.35640i | 0.0205087 | − | 0.116310i | ||||
\(137\) | 0.195937 | − | 0.164411i | 0.0167400 | − | 0.0140465i | −0.634379 | − | 0.773022i | \(-0.718744\pi\) |
0.651119 | + | 0.758975i | \(0.274300\pi\) | |||||||
\(138\) | −8.00774 | − | 6.71929i | −0.681664 | − | 0.571984i | ||||
\(139\) | 0.740352 | + | 4.19875i | 0.0627959 | + | 0.356133i | 0.999973 | + | 0.00728048i | \(0.00231747\pi\) |
−0.937178 | + | 0.348852i | \(0.886571\pi\) | |||||||
\(140\) | 0.0282185 | + | 0.0488759i | 0.00238490 | + | 0.00413076i | ||||
\(141\) | −10.4966 | + | 18.1806i | −0.883973 | + | 1.53109i | ||||
\(142\) | −11.7811 | − | 4.28795i | −0.988645 | − | 0.359837i | ||||
\(143\) | 5.38578 | + | 1.96026i | 0.450382 | + | 0.163926i | ||||
\(144\) | 9.51367 | − | 16.4782i | 0.792806 | − | 1.37318i | ||||
\(145\) | 3.02481 | + | 5.23913i | 0.251197 | + | 0.435086i | ||||
\(146\) | −0.325008 | − | 1.84321i | −0.0268978 | − | 0.152545i | ||||
\(147\) | 15.1741 | + | 12.7326i | 1.25154 | + | 1.05017i | ||||
\(148\) | −0.699807 | + | 0.587208i | −0.0575238 | + | 0.0482682i | ||||
\(149\) | 2.87551 | − | 16.3079i | 0.235571 | − | 1.33599i | −0.605836 | − | 0.795590i | \(-0.707161\pi\) |
0.841407 | − | 0.540402i | \(-0.181728\pi\) | |||||||
\(150\) | 15.4081 | − | 5.60808i | 1.25806 | − | 0.457898i | ||||
\(151\) | −4.36184 | −0.354962 | −0.177481 | − | 0.984124i | \(-0.556795\pi\) | ||||
−0.177481 | + | 0.984124i | \(0.556795\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 2.47565 | 0.200145 | ||||||||
\(154\) | −0.979055 | + | 0.356347i | −0.0788945 | + | 0.0287153i | ||||
\(155\) | −1.08512 | + | 6.15403i | −0.0871591 | + | 0.494304i | ||||
\(156\) | 1.04916 | − | 0.880352i | 0.0840003 | − | 0.0704846i | ||||
\(157\) | −7.36824 | − | 6.18269i | −0.588050 | − | 0.493432i | 0.299530 | − | 0.954087i | \(-0.403170\pi\) |
−0.887579 | + | 0.460655i | \(0.847615\pi\) | |||||||
\(158\) | 2.77126 | + | 15.7166i | 0.220470 | + | 1.25034i | ||||
\(159\) | −4.08512 | − | 7.07564i | −0.323971 | − | 0.561135i | ||||
\(160\) | 0.458111 | − | 0.793471i | 0.0362168 | − | 0.0627294i | ||||
\(161\) | 0.879385 | + | 0.320070i | 0.0693053 | + | 0.0252251i | ||||
\(162\) | 3.95084 | + | 1.43799i | 0.310407 | + | 0.112979i | ||||
\(163\) | −4.17752 | + | 7.23567i | −0.327209 | + | 0.566742i | −0.981957 | − | 0.189105i | \(-0.939441\pi\) |
0.654748 | + | 0.755847i | \(0.272775\pi\) | |||||||
\(164\) | 0.228741 | + | 0.396191i | 0.0178617 | + | 0.0309373i | ||||
\(165\) | 0.979055 | + | 5.55250i | 0.0762194 | + | 0.432261i | ||||
\(166\) | 15.3066 | + | 12.8438i | 1.18802 | + | 0.996869i | ||||
\(167\) | 3.09105 | − | 2.59370i | 0.239193 | − | 0.200707i | −0.515309 | − | 0.857004i | \(-0.672323\pi\) |
0.754502 | + | 0.656298i | \(0.227878\pi\) | |||||||
\(168\) | −0.511144 | + | 2.89884i | −0.0394356 | + | 0.223651i | ||||
\(169\) | 5.99020 | − | 2.18025i | 0.460785 | − | 0.167712i | ||||
\(170\) | −0.554378 | −0.0425188 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.721000 | −0.0549758 | ||||||||
\(173\) | 18.9290 | − | 6.88960i | 1.43915 | − | 0.523806i | 0.499608 | − | 0.866251i | \(-0.333477\pi\) |
0.939538 | + | 0.342445i | \(0.111255\pi\) | |||||||
\(174\) | −4.63429 | + | 26.2823i | −0.351324 | + | 1.99246i | ||||
\(175\) | −1.12449 | + | 0.943555i | −0.0850031 | + | 0.0713261i | ||||
\(176\) | 6.13429 | + | 5.14728i | 0.462389 | + | 0.387991i | ||||
\(177\) | 3.15270 | + | 17.8799i | 0.236972 | + | 1.34393i | ||||
\(178\) | −6.93242 | − | 12.0073i | −0.519607 | − | 0.899985i | ||||
\(179\) | 5.75624 | − | 9.97011i | 0.430242 | − | 0.745201i | −0.566652 | − | 0.823957i | \(-0.691762\pi\) |
0.996894 | + | 0.0787564i | \(0.0250949\pi\) | |||||||
\(180\) | 0.807934 | + | 0.294064i | 0.0602198 | + | 0.0219182i | ||||
\(181\) | −8.02229 | − | 2.91987i | −0.596292 | − | 0.217033i | 0.0262026 | − | 0.999657i | \(-0.491659\pi\) |
−0.622495 | + | 0.782624i | \(0.713881\pi\) | |||||||
\(182\) | 0.602196 | − | 1.04303i | 0.0446378 | − | 0.0773149i | ||||
\(183\) | 13.1420 | + | 22.7627i | 0.971487 | + | 1.68266i | ||||
\(184\) | −1.37733 | − | 7.81120i | −0.101538 | − | 0.575850i | ||||
\(185\) | 3.33022 | + | 2.79439i | 0.244843 | + | 0.205448i | ||||
\(186\) | −21.1177 | + | 17.7198i | −1.54842 | + | 1.29928i | ||||
\(187\) | −0.180922 | + | 1.02606i | −0.0132303 | + | 0.0750330i | ||||
\(188\) | −1.26604 | + | 0.460802i | −0.0923358 | + | 0.0336075i | ||||
\(189\) | −2.29086 | −0.166635 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 18.3354 | 1.32671 | 0.663353 | − | 0.748307i | \(-0.269133\pi\) | ||||
0.663353 | + | 0.748307i | \(0.269133\pi\) | |||||||
\(192\) | 23.2592 | − | 8.46567i | 1.67859 | − | 0.610957i | ||||
\(193\) | 0.0516892 | − | 0.293144i | 0.00372067 | − | 0.0211010i | −0.982891 | − | 0.184189i | \(-0.941034\pi\) |
0.986612 | + | 0.163088i | \(0.0521454\pi\) | |||||||
\(194\) | −9.75671 | + | 8.18685i | −0.700491 | + | 0.587782i | ||||
\(195\) | −4.99273 | − | 4.18939i | −0.357537 | − | 0.300009i | ||||
\(196\) | 0.220752 | + | 1.25195i | 0.0157680 | + | 0.0894247i | ||||
\(197\) | −6.57057 | − | 11.3806i | −0.468134 | − | 0.810832i | 0.531203 | − | 0.847245i | \(-0.321740\pi\) |
−0.999337 | + | 0.0364128i | \(0.988407\pi\) | |||||||
\(198\) | −7.93629 | + | 13.7461i | −0.564008 | + | 0.976890i | ||||
\(199\) | 0.241230 | + | 0.0878004i | 0.0171003 | + | 0.00622400i | 0.350556 | − | 0.936542i | \(-0.385993\pi\) |
−0.333456 | + | 0.942766i | \(0.608215\pi\) | |||||||
\(200\) | 11.6912 | + | 4.25524i | 0.826692 | + | 0.300891i | ||||
\(201\) | 11.0496 | − | 19.1385i | 0.779381 | − | 1.34993i | ||||
\(202\) | −6.23055 | − | 10.7916i | −0.438380 | − | 0.759297i | ||||
\(203\) | −0.414878 | − | 2.35289i | −0.0291187 | − | 0.165140i | ||||
\(204\) | 0.190722 | + | 0.160035i | 0.0133532 | + | 0.0112047i | ||||
\(205\) | 1.66772 | − | 1.39938i | 0.116479 | − | 0.0977371i | ||||
\(206\) | 1.28905 | − | 7.31056i | 0.0898123 | − | 0.509351i | ||||
\(207\) | 13.3969 | − | 4.87608i | 0.931151 | − | 0.338911i | ||||
\(208\) | −9.25671 | −0.641837 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 1.18479 | 0.0817585 | ||||||||
\(211\) | −2.30066 | + | 0.837372i | −0.158384 | + | 0.0576470i | −0.419995 | − | 0.907526i | \(-0.637968\pi\) |
0.261611 | + | 0.965173i | \(0.415746\pi\) | |||||||
\(212\) | 0.0910521 | − | 0.516382i | 0.00625348 | − | 0.0354653i | ||||
\(213\) | 20.5253 | − | 17.2228i | 1.40637 | − | 1.18008i | ||||
\(214\) | −10.5628 | − | 8.86327i | −0.722060 | − | 0.605881i | ||||
\(215\) | 0.595800 | + | 3.37895i | 0.0406332 | + | 0.230442i | ||||
\(216\) | 9.70826 | + | 16.8152i | 0.660564 | + | 1.14413i | ||||
\(217\) | 1.23396 | − | 2.13727i | 0.0837664 | − | 0.145088i | ||||
\(218\) | −2.30793 | − | 0.840019i | −0.156313 | − | 0.0568933i | ||||
\(219\) | 3.75877 | + | 1.36808i | 0.253994 | + | 0.0924463i | ||||
\(220\) | −0.180922 | + | 0.313366i | −0.0121978 | + | 0.0211272i | ||||
\(221\) | −0.602196 | − | 1.04303i | −0.0405081 | − | 0.0701621i | ||||
\(222\) | 3.33022 | + | 18.8866i | 0.223510 | + | 1.26759i | ||||
\(223\) | −6.51889 | − | 5.46999i | −0.436537 | − | 0.366298i | 0.397875 | − | 0.917440i | \(-0.369748\pi\) |
−0.834412 | + | 0.551142i | \(0.814192\pi\) | |||||||
\(224\) | −0.277189 | + | 0.232589i | −0.0185205 | + | 0.0155405i | ||||
\(225\) | −3.88326 | + | 22.0230i | −0.258884 | + | 1.46820i | ||||
\(226\) | −22.3935 | + | 8.15058i | −1.48959 | + | 0.542168i | ||||
\(227\) | −14.1506 | −0.939211 | −0.469606 | − | 0.882876i | \(-0.655604\pi\) | ||||
−0.469606 | + | 0.882876i | \(0.655604\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −20.5330 | −1.35686 | −0.678430 | − | 0.734665i | \(-0.737339\pi\) | ||||
−0.678430 | + | 0.734665i | \(0.737339\pi\) | |||||||
\(230\) | −3.00000 | + | 1.09191i | −0.197814 | + | 0.0719985i | ||||
\(231\) | 0.386659 | − | 2.19285i | 0.0254403 | − | 0.144279i | ||||
\(232\) | −15.5123 | + | 13.0164i | −1.01843 | + | 0.854568i | ||||
\(233\) | 13.5214 | + | 11.3458i | 0.885817 | + | 0.743289i | 0.967367 | − | 0.253380i | \(-0.0815425\pi\) |
−0.0815496 | + | 0.996669i | \(0.525987\pi\) | |||||||
\(234\) | −3.18614 | − | 18.0695i | −0.208284 | − | 1.18124i | ||||
\(235\) | 3.20574 | + | 5.55250i | 0.209119 | + | 0.362205i | ||||
\(236\) | −0.582596 | + | 1.00909i | −0.0379238 | + | 0.0656859i | ||||
\(237\) | −32.0501 | − | 11.6653i | −2.08188 | − | 0.757741i | ||||
\(238\) | 0.205737 | + | 0.0748822i | 0.0133360 | + | 0.00485389i | ||||
\(239\) | −1.17617 | + | 2.03719i | −0.0760804 | + | 0.131775i | −0.901556 | − | 0.432663i | \(-0.857574\pi\) |
0.825475 | + | 0.564438i | \(0.190907\pi\) | |||||||
\(240\) | −4.55303 | − | 7.88609i | −0.293897 | − | 0.509045i | ||||
\(241\) | 2.39646 | + | 13.5910i | 0.154370 | + | 0.875473i | 0.959360 | + | 0.282185i | \(0.0910593\pi\) |
−0.804990 | + | 0.593288i | \(0.797830\pi\) | |||||||
\(242\) | 6.23577 | + | 5.23243i | 0.400850 | + | 0.336353i | ||||
\(243\) | 8.27584 | − | 6.94426i | 0.530896 | − | 0.445474i | ||||
\(244\) | −0.292919 | + | 1.66122i | −0.0187522 | + | 0.106349i | ||||
\(245\) | 5.68479 | − | 2.06910i | 0.363188 | − | 0.132190i | ||||
\(246\) | 9.60401 | 0.612329 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | −20.9172 | −1.32824 | ||||||||
\(249\) | −40.1279 | + | 14.6054i | −2.54301 | + | 0.925578i | ||||
\(250\) | 1.89827 | − | 10.7656i | 0.120057 | − | 0.680878i | ||||
\(251\) | −3.19072 | + | 2.67733i | −0.201397 | + | 0.168992i | −0.737908 | − | 0.674901i | \(-0.764186\pi\) |
0.536512 | + | 0.843893i | \(0.319742\pi\) | |||||||
\(252\) | −0.260115 | − | 0.218262i | −0.0163857 | − | 0.0137492i | ||||
\(253\) | 1.04189 | + | 5.90885i | 0.0655030 | + | 0.371486i | ||||
\(254\) | 7.81702 | + | 13.5395i | 0.490483 | + | 0.849542i | ||||
\(255\) | 0.592396 | − | 1.02606i | 0.0370973 | − | 0.0642544i | ||||
\(256\) | 4.13088 | + | 1.50352i | 0.258180 | + | 0.0939699i | ||||
\(257\) | −0.627011 | − | 0.228213i | −0.0391119 | − | 0.0142356i | 0.322390 | − | 0.946607i | \(-0.395514\pi\) |
−0.361502 | + | 0.932371i | \(0.617736\pi\) | |||||||
\(258\) | −7.56805 | + | 13.1082i | −0.471166 | + | 0.816084i | ||||
\(259\) | −0.858441 | − | 1.48686i | −0.0533409 | − | 0.0923892i | ||||
\(260\) | −0.0726338 | − | 0.411927i | −0.00450456 | − | 0.0255466i | ||||
\(261\) | −27.8824 | − | 23.3961i | −1.72588 | − | 1.44818i | ||||
\(262\) | −1.90445 | + | 1.59802i | −0.117657 | + | 0.0987261i | ||||
\(263\) | 1.97952 | − | 11.2264i | 0.122063 | − | 0.692251i | −0.860947 | − | 0.508695i | \(-0.830128\pi\) |
0.983009 | − | 0.183556i | \(-0.0587609\pi\) | |||||||
\(264\) | −17.7344 | + | 6.45480i | −1.09148 | + | 0.397266i | ||||
\(265\) | −2.49525 | −0.153282 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 29.6313 | 1.81341 | ||||||||
\(268\) | 1.33275 | − | 0.485081i | 0.0814106 | − | 0.0296310i | ||||
\(269\) | 3.36706 | − | 19.0955i | 0.205293 | − | 1.16428i | −0.691684 | − | 0.722200i | \(-0.743131\pi\) |
0.896978 | − | 0.442076i | \(-0.145758\pi\) | |||||||
\(270\) | 5.98680 | − | 5.02352i | 0.364345 | − | 0.305722i | ||||
\(271\) | −10.2606 | − | 8.60965i | −0.623286 | − | 0.522999i | 0.275549 | − | 0.961287i | \(-0.411141\pi\) |
−0.898835 | + | 0.438288i | \(0.855585\pi\) | |||||||
\(272\) | −0.292204 | − | 1.65717i | −0.0177174 | − | 0.100481i | ||||
\(273\) | 1.28699 | + | 2.22913i | 0.0778921 | + | 0.134913i | ||||
\(274\) | 0.172304 | − | 0.298439i | 0.0104093 | − | 0.0180294i | ||||
\(275\) | −8.84389 | − | 3.21891i | −0.533307 | − | 0.194108i | ||||
\(276\) | 1.34730 | + | 0.490376i | 0.0810977 | + | 0.0295172i | ||||
\(277\) | −8.87346 | + | 15.3693i | −0.533154 | + | 0.923450i | 0.466096 | + | 0.884734i | \(0.345660\pi\) |
−0.999250 | + | 0.0387161i | \(0.987673\pi\) | |||||||
\(278\) | 2.87211 | + | 4.97464i | 0.172258 | + | 0.298359i | ||||
\(279\) | −6.52869 | − | 37.0260i | −0.390862 | − | 2.21669i | ||||
\(280\) | 0.688663 | + | 0.577857i | 0.0411555 | + | 0.0345335i | ||||
\(281\) | 14.0025 | − | 11.7495i | 0.835321 | − | 0.700917i | −0.121185 | − | 0.992630i | \(-0.538670\pi\) |
0.956506 | + | 0.291713i | \(0.0942251\pi\) | |||||||
\(282\) | −4.91147 | + | 27.8544i | −0.292474 | + | 1.65870i | ||||
\(283\) | −7.22416 | + | 2.62938i | −0.429431 | + | 0.156300i | −0.547688 | − | 0.836683i | \(-0.684492\pi\) |
0.118256 | + | 0.992983i | \(0.462270\pi\) | |||||||
\(284\) | 1.71957 | 0.102038 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 7.72193 | 0.456608 | ||||||||
\(287\) | −0.807934 | + | 0.294064i | −0.0476908 | + | 0.0173580i | ||||
\(288\) | −0.957234 | + | 5.42874i | −0.0564055 | + | 0.319892i | ||||
\(289\) | −12.8550 | + | 10.7867i | −0.756179 | + | 0.634509i | ||||
\(290\) | 6.24376 | + | 5.23913i | 0.366646 | + | 0.307652i | ||||
\(291\) | −4.72668 | − | 26.8063i | −0.277083 | − | 1.57142i | ||||
\(292\) | 0.128356 | + | 0.222318i | 0.00751144 | + | 0.0130102i | ||||
\(293\) | 5.25150 | − | 9.09586i | 0.306796 | − | 0.531386i | −0.670864 | − | 0.741581i | \(-0.734076\pi\) |
0.977660 | + | 0.210195i | \(0.0674098\pi\) | |||||||
\(294\) | 25.0783 | + | 9.12776i | 1.46260 | + | 0.532342i | ||||
\(295\) | 5.21048 | + | 1.89646i | 0.303366 | + | 0.110416i | ||||
\(296\) | −7.27584 | + | 12.6021i | −0.422900 | + | 0.732484i | ||||
\(297\) | −7.34389 | − | 12.7200i | −0.426136 | − | 0.738089i | ||||
\(298\) | −3.87417 | − | 21.9715i | −0.224425 | − | 1.27278i | ||||
\(299\) | −5.31315 | − | 4.45826i | −0.307267 | − | 0.257828i | ||||
\(300\) | −1.72281 | + | 1.44561i | −0.0994666 | + | 0.0834623i | ||||
\(301\) | 0.235300 | − | 1.33445i | 0.0135625 | − | 0.0769165i | ||||
\(302\) | −5.52229 | + | 2.00995i | −0.317772 | + | 0.115660i | ||||
\(303\) | 26.6313 | 1.52993 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 8.02734 | 0.459644 | ||||||||
\(306\) | 3.13429 | − | 1.14079i | 0.179175 | − | 0.0652144i | ||||
\(307\) | −2.03091 | + | 11.5178i | −0.115910 | + | 0.657358i | 0.870386 | + | 0.492371i | \(0.163870\pi\) |
−0.986296 | + | 0.164988i | \(0.947242\pi\) | |||||||
\(308\) | 0.109470 | − | 0.0918566i | 0.00623766 | − | 0.00523401i | ||||
\(309\) | 12.1532 | + | 10.1977i | 0.691370 | + | 0.580128i | ||||
\(310\) | 1.46198 | + | 8.29131i | 0.0830350 | + | 0.470915i | ||||
\(311\) | −7.98293 | − | 13.8268i | −0.452670 | − | 0.784048i | 0.545881 | − | 0.837863i | \(-0.316195\pi\) |
−0.998551 | + | 0.0538151i | \(0.982862\pi\) | |||||||
\(312\) | 10.9081 | − | 18.8933i | 0.617548 | − | 1.06962i | ||||
\(313\) | 25.0228 | + | 9.10754i | 1.41437 | + | 0.514788i | 0.932409 | − | 0.361404i | \(-0.117703\pi\) |
0.481961 | + | 0.876193i | \(0.339925\pi\) | |||||||
\(314\) | −12.1775 | − | 4.43225i | −0.687217 | − | 0.250127i | ||||
\(315\) | −0.807934 | + | 1.39938i | −0.0455219 | + | 0.0788462i | ||||
\(316\) | −1.09446 | − | 1.89565i | −0.0615679 | − | 0.106639i | ||||
\(317\) | 5.12819 | + | 29.0834i | 0.288028 | + | 1.63349i | 0.694264 | + | 0.719720i | \(0.255730\pi\) |
−0.406236 | + | 0.913768i | \(0.633159\pi\) | |||||||
\(318\) | −8.43242 | − | 7.07564i | −0.472867 | − | 0.396782i | ||||
\(319\) | 11.7344 | − | 9.84635i | 0.657002 | − | 0.551290i | ||||
\(320\) | 1.31268 | − | 7.44459i | 0.0733811 | − | 0.416165i | ||||
\(321\) | 27.6917 | − | 10.0789i | 1.54560 | − | 0.562551i | ||||
\(322\) | 1.26083 | 0.0702633 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | −0.576666 | −0.0320370 | ||||||||
\(325\) | 10.2233 | − | 3.72097i | 0.567085 | − | 0.206402i | ||||
\(326\) | −1.95471 | + | 11.0857i | −0.108261 | + | 0.613980i | ||||
\(327\) | 4.02094 | − | 3.37397i | 0.222359 | − | 0.186581i | ||||
\(328\) | 5.58235 | + | 4.68415i | 0.308234 | + | 0.258639i | ||||
\(329\) | −0.439693 | − | 2.49362i | −0.0242410 | − | 0.137478i | ||||
\(330\) | 3.79813 | + | 6.57856i | 0.209080 | + | 0.362138i | ||||
\(331\) | −13.8327 | + | 23.9590i | −0.760317 | + | 1.31691i | 0.182371 | + | 0.983230i | \(0.441623\pi\) |
−0.942687 | + | 0.333677i | \(0.891710\pi\) | |||||||
\(332\) | −2.57532 | − | 0.937341i | −0.141339 | − | 0.0514432i | ||||
\(333\) | −24.5783 | − | 8.94578i | −1.34688 | − | 0.490225i | ||||
\(334\) | 2.71823 | − | 4.70810i | 0.148735 | − | 0.257616i | ||||
\(335\) | −3.37464 | − | 5.84504i | −0.184376 | − | 0.319349i | ||||
\(336\) | 0.624485 | + | 3.54163i | 0.0340685 | + | 0.193212i | ||||
\(337\) | 13.6814 | + | 11.4800i | 0.745273 | + | 0.625358i | 0.934248 | − | 0.356624i | \(-0.116072\pi\) |
−0.188975 | + | 0.981982i | \(0.560517\pi\) | |||||||
\(338\) | 6.57919 | − | 5.52060i | 0.357861 | − | 0.300281i | ||||
\(339\) | 8.84389 | − | 50.1562i | 0.480334 | − | 2.72411i | ||||
\(340\) | 0.0714517 | − | 0.0260063i | 0.00387501 | − | 0.00141039i | ||||
\(341\) | 15.8229 | 0.856861 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −4.82026 | −0.260270 | ||||||||
\(344\) | −10.7922 | + | 3.92804i | −0.581877 | + | 0.211786i | ||||
\(345\) | 1.18479 | − | 6.71929i | 0.0637871 | − | 0.361755i | ||||
\(346\) | 20.7902 | − | 17.4451i | 1.11769 | − | 0.937853i | ||||
\(347\) | −4.44356 | − | 3.72859i | −0.238543 | − | 0.200161i | 0.515677 | − | 0.856783i | \(-0.327540\pi\) |
−0.754220 | + | 0.656622i | \(0.771985\pi\) | |||||||
\(348\) | −0.635630 | − | 3.60483i | −0.0340733 | − | 0.193239i | ||||
\(349\) | −2.68614 | − | 4.65253i | −0.143786 | − | 0.249044i | 0.785134 | − | 0.619326i | \(-0.212594\pi\) |
−0.928919 | + | 0.370282i | \(0.879261\pi\) | |||||||
\(350\) | −0.988856 | + | 1.71275i | −0.0528566 | + | 0.0915502i | ||||
\(351\) | 15.9547 | + | 5.80704i | 0.851599 | + | 0.309957i | ||||
\(352\) | −2.18004 | − | 0.793471i | −0.116197 | − | 0.0422922i | ||||
\(353\) | 12.6172 | − | 21.8537i | 0.671546 | − | 1.16315i | −0.305919 | − | 0.952057i | \(-0.598964\pi\) |
0.977466 | − | 0.211095i | \(-0.0677029\pi\) | |||||||
\(354\) | 12.2306 | + | 21.1839i | 0.650047 | + | 1.12591i | ||||
\(355\) | −1.42097 | − | 8.05872i | −0.0754172 | − | 0.427712i | ||||
\(356\) | 1.45677 | + | 1.22237i | 0.0772085 | + | 0.0647856i | ||||
\(357\) | −0.358441 | + | 0.300767i | −0.0189707 | + | 0.0159183i | ||||
\(358\) | 2.69341 | − | 15.2751i | 0.142351 | − | 0.807314i | ||||
\(359\) | −6.28359 | + | 2.28704i | −0.331635 | + | 0.120705i | −0.502471 | − | 0.864594i | \(-0.667575\pi\) |
0.170836 | + | 0.985300i | \(0.445353\pi\) | |||||||
\(360\) | 13.6955 | 0.721818 | ||||||||
\(361\) | 0 | 0 | ||||||||
\(362\) | −11.5021 | −0.604535 | ||||||||
\(363\) | −16.3478 | + | 5.95010i | −0.858035 | + | 0.312299i | ||||
\(364\) | −0.0286853 | + | 0.162683i | −0.00150352 | + | 0.00852688i | ||||
\(365\) | 0.935822 | − | 0.785248i | 0.0489832 | − | 0.0411018i | ||||
\(366\) | 27.1275 | + | 22.7627i | 1.41798 | + | 1.18982i | ||||
\(367\) | 1.40983 | + | 7.99552i | 0.0735923 | + | 0.417363i | 0.999240 | + | 0.0389764i | \(0.0124097\pi\) |
−0.925648 | + | 0.378386i | \(0.876479\pi\) | |||||||
\(368\) | −4.84524 | − | 8.39220i | −0.252575 | − | 0.437473i | ||||
\(369\) | −6.54916 | + | 11.3435i | −0.340936 | + | 0.590518i | ||||
\(370\) | 5.50387 | + | 2.00324i | 0.286133 | + | 0.104144i | ||||
\(371\) | 0.926022 | + | 0.337044i | 0.0480767 | + | 0.0174985i | ||||
\(372\) | 1.89053 | − | 3.27449i | 0.0980194 | − | 0.169775i | ||||
\(373\) | −17.4488 | − | 30.2222i | −0.903463 | − | 1.56484i | −0.822967 | − | 0.568090i | \(-0.807683\pi\) |
−0.0804968 | − | 0.996755i | \(-0.525651\pi\) | |||||||
\(374\) | 0.243756 | + | 1.38241i | 0.0126043 | + | 0.0714826i | ||||
\(375\) | 17.8969 | + | 15.0173i | 0.924193 | + | 0.775490i | ||||
\(376\) | −16.4402 | + | 13.7949i | −0.847836 | + | 0.711419i | ||||
\(377\) | −3.07486 | + | 17.4384i | −0.158363 | + | 0.898122i | ||||
\(378\) | −2.90033 | + | 1.05563i | −0.149177 | + | 0.0542959i | ||||
\(379\) | 1.70140 | 0.0873950 | 0.0436975 | − | 0.999045i | \(-0.486086\pi\) | ||||
0.0436975 | + | 0.999045i | \(0.486086\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −33.4124 | −1.71177 | ||||||||
\(382\) | 23.2135 | − | 8.44901i | 1.18770 | − | 0.432289i | ||||
\(383\) | 0.509962 | − | 2.89214i | 0.0260579 | − | 0.147781i | −0.969003 | − | 0.247049i | \(-0.920539\pi\) |
0.995061 | + | 0.0992680i | \(0.0316501\pi\) | |||||||
\(384\) | 20.9500 | − | 17.5791i | 1.06910 | − | 0.897080i | ||||
\(385\) | −0.520945 | − | 0.437124i | −0.0265498 | − | 0.0222779i | ||||
\(386\) | −0.0696407 | − | 0.394952i | −0.00354462 | − | 0.0201025i | ||||
\(387\) | −10.3216 | − | 17.8775i | −0.524677 | − | 0.908767i | ||||
\(388\) | 0.873455 | − | 1.51287i | 0.0443430 | − | 0.0768043i | ||||
\(389\) | 23.0856 | + | 8.40247i | 1.17049 | + | 0.426022i | 0.852832 | − | 0.522185i | \(-0.174883\pi\) |
0.317654 | + | 0.948207i | \(0.397105\pi\) | |||||||
\(390\) | −8.25150 | − | 3.00330i | −0.417831 | − | 0.152078i | ||||
\(391\) | 0.630415 | − | 1.09191i | 0.0318815 | − | 0.0552203i | ||||
\(392\) | 10.1250 | + | 17.5369i | 0.511387 | + | 0.885749i | ||||
\(393\) | −0.922618 | − | 5.23243i | −0.0465399 | − | 0.263941i | ||||
\(394\) | −13.5628 | − | 11.3806i | −0.683286 | − | 0.573345i | ||||
\(395\) | −7.97952 | + | 6.69561i | −0.401493 | + | 0.336893i | ||||
\(396\) | 0.378041 | − | 2.14398i | 0.0189973 | − | 0.107739i | ||||
\(397\) | 29.9158 | − | 10.8885i | 1.50143 | − | 0.546476i | 0.545001 | − | 0.838436i | \(-0.316529\pi\) |
0.956431 | + | 0.291959i | \(0.0943071\pi\) | |||||||
\(398\) | 0.345866 | 0.0173367 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 15.2003 | 0.760014 | ||||||||
\(401\) | 0.0812519 | − | 0.0295733i | 0.00405753 | − | 0.00147682i | −0.339991 | − | 0.940429i | \(-0.610424\pi\) |
0.344048 | + | 0.938952i | \(0.388202\pi\) | |||||||
\(402\) | 5.17024 | − | 29.3219i | 0.257868 | − | 1.46244i | ||||
\(403\) | −14.0116 | + | 11.7571i | −0.697968 | + | 0.585665i | ||||
\(404\) | 1.30928 | + | 1.09861i | 0.0651390 | + | 0.0546581i | ||||
\(405\) | 0.476529 | + | 2.70253i | 0.0236789 | + | 0.134290i | ||||
\(406\) | −1.60947 | − | 2.78768i | −0.0798767 | − | 0.138350i | ||||
\(407\) | 5.50387 | − | 9.53298i | 0.272817 | − | 0.472532i | ||||
\(408\) | 3.72668 | + | 1.35640i | 0.184498 | + | 0.0671519i | ||||
\(409\) | −18.7995 | − | 6.84245i | −0.929574 | − | 0.338337i | −0.167534 | − | 0.985866i | \(-0.553580\pi\) |
−0.762041 | + | 0.647529i | \(0.775802\pi\) | |||||||
\(410\) | 1.46657 | − | 2.54017i | 0.0724286 | − | 0.125450i | ||||
\(411\) | 0.368241 | + | 0.637812i | 0.0181640 | + | 0.0314609i | ||||
\(412\) | 0.176803 | + | 1.00270i | 0.00871048 | + | 0.0493996i | ||||
\(413\) | −1.67752 | − | 1.40761i | −0.0825453 | − | 0.0692637i | ||||
\(414\) | 14.7142 | − | 12.3467i | 0.723163 | − | 0.606806i | ||||
\(415\) | −2.26470 | + | 12.8438i | −0.111170 | + | 0.630475i | ||||
\(416\) | 2.52007 | − | 0.917229i | 0.123556 | − | 0.0449709i | ||||
\(417\) | −12.2763 | −0.601174 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 25.4097 | 1.24135 | 0.620673 | − | 0.784070i | \(-0.286859\pi\) | ||||
0.620673 | + | 0.784070i | \(0.286859\pi\) | |||||||
\(420\) | −0.152704 | + | 0.0555796i | −0.00745117 | + | 0.00271201i | ||||
\(421\) | 0.758770 | − | 4.30320i | 0.0369802 | − | 0.209725i | −0.960719 | − | 0.277524i | \(-0.910486\pi\) |
0.997699 | + | 0.0677984i | \(0.0215975\pi\) | |||||||
\(422\) | −2.52687 | + | 2.12030i | −0.123006 | + | 0.103215i | ||||
\(423\) | −29.5501 | − | 24.7955i | −1.43677 | − | 1.20560i | ||||
\(424\) | −1.45037 | − | 8.22546i | −0.0704362 | − | 0.399464i | ||||
\(425\) | 0.988856 | + | 1.71275i | 0.0479665 | + | 0.0830805i | ||||
\(426\) | 18.0496 | − | 31.2629i | 0.874507 | − | 1.51469i | ||||
\(427\) | −2.97906 | − | 1.08429i | −0.144167 | − | 0.0524724i | ||||
\(428\) | 1.77719 | + | 0.646844i | 0.0859037 | + | 0.0312664i | ||||
\(429\) | −8.25150 | + | 14.2920i | −0.398386 | + | 0.690025i | ||||
\(430\) | 2.31134 | + | 4.00335i | 0.111463 | + | 0.193059i | ||||
\(431\) | −6.65183 | − | 37.7244i | −0.320407 | − | 1.81712i | −0.540158 | − | 0.841564i | \(-0.681636\pi\) |
0.219751 | − | 0.975556i | \(-0.429476\pi\) | |||||||
\(432\) | 18.1721 | + | 15.2482i | 0.874303 | + | 0.733628i | ||||
\(433\) | −13.8892 | + | 11.6544i | −0.667472 | + | 0.560075i | −0.912316 | − | 0.409487i | \(-0.865708\pi\) |
0.244844 | + | 0.969562i | \(0.421263\pi\) | |||||||
\(434\) | 0.577382 | − | 3.27449i | 0.0277152 | − | 0.157181i | ||||
\(435\) | −16.3687 | + | 5.95772i | −0.784819 | + | 0.285651i | ||||
\(436\) | 0.336867 | 0.0161330 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 5.38919 | 0.257505 | ||||||||
\(439\) | 5.72328 | − | 2.08310i | 0.273157 | − | 0.0994211i | −0.201810 | − | 0.979425i | \(-0.564682\pi\) |
0.474967 | + | 0.880004i | \(0.342460\pi\) | |||||||
\(440\) | −1.00088 | + | 5.67626i | −0.0477150 | + | 0.270605i | ||||
\(441\) | −27.8824 | + | 23.3961i | −1.32773 | + | 1.11410i | ||||
\(442\) | −1.24304 | − | 1.04303i | −0.0591254 | − | 0.0496121i | ||||
\(443\) | −5.19088 | − | 29.4390i | −0.246626 | − | 1.39869i | −0.816685 | − | 0.577084i | \(-0.804191\pi\) |
0.570059 | − | 0.821604i | \(-0.306920\pi\) | |||||||
\(444\) | −1.31521 | − | 2.27801i | −0.0624170 | − | 0.108109i | ||||
\(445\) | 4.52481 | − | 7.83721i | 0.214497 | − | 0.371519i | ||||
\(446\) | −10.7738 | − | 3.92134i | −0.510154 | − | 0.185681i | ||||
\(447\) | 44.8055 | + | 16.3079i | 2.11923 | + | 0.771335i | ||||
\(448\) | −1.49273 | + | 2.58548i | −0.0705247 | + | 0.122152i | ||||
\(449\) | 5.62495 | + | 9.74270i | 0.265458 | + | 0.459787i | 0.967683 | − | 0.252168i | \(-0.0811435\pi\) |
−0.702226 | + | 0.711955i | \(0.747810\pi\) | |||||||
\(450\) | 5.23190 | + | 29.6716i | 0.246634 | + | 1.39873i | ||||
\(451\) | −4.22281 | − | 3.54336i | −0.198844 | − | 0.166850i | ||||
\(452\) | 2.50387 | − | 2.10100i | 0.117772 | − | 0.0988226i | ||||
\(453\) | 2.18092 | − | 12.3686i | 0.102469 | − | 0.581129i | ||||
\(454\) | −17.9153 | + | 6.52065i | −0.840809 | + | 0.306029i | ||||
\(455\) | 0.786112 | 0.0368535 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −23.3901 | −1.09414 | −0.547072 | − | 0.837086i | \(-0.684258\pi\) | ||||
−0.547072 | + | 0.837086i | \(0.684258\pi\) | |||||||
\(458\) | −25.9957 | + | 9.46167i | −1.21470 | + | 0.442115i | ||||
\(459\) | −0.535959 | + | 3.03958i | −0.0250164 | + | 0.141875i | ||||
\(460\) | 0.335437 | − | 0.281465i | 0.0156398 | − | 0.0131234i | ||||
\(461\) | −28.0553 | − | 23.5412i | −1.30667 | − | 1.09642i | −0.988952 | − | 0.148237i | \(-0.952640\pi\) |
−0.317714 | − | 0.948187i | \(-0.602915\pi\) | |||||||
\(462\) | −0.520945 | − | 2.95442i | −0.0242365 | − | 0.137452i | ||||
\(463\) | 21.4932 | + | 37.2273i | 0.998873 | + | 1.73010i | 0.540534 | + | 0.841322i | \(0.318222\pi\) |
0.458340 | + | 0.888777i | \(0.348444\pi\) | |||||||
\(464\) | −12.3701 | + | 21.4256i | −0.574265 | + | 0.994657i | ||||
\(465\) | −16.9081 | − | 6.15403i | −0.784093 | − | 0.285387i | ||||
\(466\) | 22.3469 | + | 8.13360i | 1.03520 | + | 0.376782i | ||||
\(467\) | −12.7981 | + | 22.1670i | −0.592227 | + | 1.02577i | 0.401705 | + | 0.915769i | \(0.368418\pi\) |
−0.993932 | + | 0.109998i | \(0.964916\pi\) | |||||||
\(468\) | 1.25830 | + | 2.17945i | 0.0581651 | + | 0.100745i | ||||
\(469\) | 0.462859 | + | 2.62500i | 0.0213728 | + | 0.121211i | ||||
\(470\) | 6.61721 | + | 5.55250i | 0.305229 | + | 0.256118i | ||||
\(471\) | 21.2160 | − | 17.8023i | 0.977582 | − | 0.820289i | ||||
\(472\) | −3.22297 | + | 18.2784i | −0.148349 | + | 0.841331i | ||||
\(473\) | 8.16385 | − | 2.97140i | 0.375374 | − | 0.136625i | ||||
\(474\) | −45.9522 | −2.11066 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −0.0300295 | −0.00137640 | ||||||||
\(477\) | 14.1074 | − | 5.13468i | 0.645934 | − | 0.235101i | ||||
\(478\) | −0.550345 | + | 3.12116i | −0.0251722 | + | 0.142759i | ||||
\(479\) | 29.2447 | − | 24.5392i | 1.33622 | − | 1.12123i | 0.353645 | − | 0.935380i | \(-0.384942\pi\) |
0.982579 | − | 0.185845i | \(-0.0595023\pi\) | |||||||
\(480\) | 2.02094 | + | 1.69577i | 0.0922431 | + | 0.0774011i | ||||
\(481\) | 2.20961 | + | 12.5313i | 0.100749 | + | 0.571378i | ||||
\(482\) | 9.29679 | + | 16.1025i | 0.423457 | + | 0.733449i | ||||
\(483\) | −1.34730 | + | 2.33359i | −0.0613041 | + | 0.106182i | ||||
\(484\) | −1.04916 | − | 0.381864i | −0.0476892 | − | 0.0173575i | ||||
\(485\) | −7.81180 | − | 2.84326i | −0.354716 | − | 0.129106i | ||||
\(486\) | 7.27766 | − | 12.6053i | 0.330121 | − | 0.571787i | ||||
\(487\) | −3.88191 | − | 6.72367i | −0.175906 | − | 0.304678i | 0.764568 | − | 0.644543i | \(-0.222952\pi\) |
−0.940475 | + | 0.339864i | \(0.889619\pi\) | |||||||
\(488\) | 4.66591 | + | 26.4617i | 0.211216 | + | 1.19786i | ||||
\(489\) | −18.4290 | − | 15.4638i | −0.833389 | − | 0.699296i | ||||
\(490\) | 6.24376 | − | 5.23913i | 0.282064 | − | 0.236680i | ||||
\(491\) | −6.37686 | + | 36.1650i | −0.287784 | + | 1.63210i | 0.407386 | + | 0.913256i | \(0.366440\pi\) |
−0.695169 | + | 0.718846i | \(0.744671\pi\) | |||||||
\(492\) | −1.23783 | + | 0.450532i | −0.0558055 | + | 0.0203115i | ||||
\(493\) | −3.21894 | −0.144974 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −10.3601 | −0.465651 | ||||||||
\(496\) | −24.0141 | + | 8.74043i | −1.07827 | + | 0.392457i | ||||
\(497\) | −0.561185 | + | 3.18264i | −0.0251726 | + | 0.142761i | ||||
\(498\) | −44.0736 | + | 36.9821i | −1.97498 | + | 1.65721i | ||||
\(499\) | 3.77379 | + | 3.16658i | 0.168938 | + | 0.141756i | 0.723337 | − | 0.690495i | \(-0.242607\pi\) |
−0.554399 | + | 0.832251i | \(0.687052\pi\) | |||||||
\(500\) | 0.260363 | + | 1.47659i | 0.0116438 | + | 0.0660352i | ||||
\(501\) | 5.80928 | + | 10.0620i | 0.259539 | + | 0.449535i | ||||
\(502\) | −2.80587 | + | 4.85992i | −0.125232 | + | 0.216909i | ||||
\(503\) | −30.9624 | − | 11.2694i | −1.38055 | − | 0.502478i | −0.458203 | − | 0.888847i | \(-0.651507\pi\) |
−0.922344 | + | 0.386369i | \(0.873729\pi\) | |||||||
\(504\) | −5.08260 | − | 1.84991i | −0.226397 | − | 0.0824017i | ||||
\(505\) | 4.06670 | − | 7.04374i | 0.180966 | − | 0.313442i | ||||
\(506\) | 4.04189 | + | 7.00076i | 0.179684 | + | 0.311222i | ||||
\(507\) | 3.18732 | + | 18.0762i | 0.141554 | + | 0.802791i | ||||
\(508\) | −1.64266 | − | 1.37835i | −0.0728810 | − | 0.0611544i | ||||
\(509\) | −28.2939 | + | 23.7414i | −1.25410 | + | 1.05232i | −0.257819 | + | 0.966193i | \(0.583004\pi\) |
−0.996284 | + | 0.0861240i | \(0.972552\pi\) | |||||||
\(510\) | 0.277189 | − | 1.57202i | 0.0122741 | − | 0.0696100i | ||||
\(511\) | −0.453363 | + | 0.165011i | −0.0200556 | + | 0.00729964i | ||||
\(512\) | 24.9186 | 1.10126 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −0.898986 | −0.0396526 | ||||||||
\(515\) | 4.55303 | − | 1.65717i | 0.200631 | − | 0.0730236i | ||||
\(516\) | 0.360500 | − | 2.04450i | 0.0158701 | − | 0.0900040i | ||||
\(517\) | 12.4363 | − | 10.4353i | 0.546947 | − | 0.458943i | ||||
\(518\) | −1.77197 | − | 1.48686i | −0.0778561 | − | 0.0653290i | ||||
\(519\) | 10.0719 | + | 57.1207i | 0.442108 | + | 2.50732i | ||||
\(520\) | −3.33140 | − | 5.77016i | −0.146092 | − | 0.253038i | ||||
\(521\) | −4.64590 | + | 8.04693i | −0.203540 | + | 0.352542i | −0.949667 | − | 0.313262i | \(-0.898578\pi\) |
0.746126 | + | 0.665804i | \(0.231912\pi\) | |||||||
\(522\) | −46.0813 | − | 16.7722i | −2.01692 | − | 0.734100i | ||||
\(523\) | 26.7015 | + | 9.71854i | 1.16757 | + | 0.424962i | 0.851797 | − | 0.523872i | \(-0.175513\pi\) |
0.315776 | + | 0.948834i | \(0.397735\pi\) | |||||||
\(524\) | 0.170493 | − | 0.295303i | 0.00744802 | − | 0.0129004i | ||||
\(525\) | −2.11334 | − | 3.66041i | −0.0922338 | − | 0.159754i | ||||
\(526\) | −2.66700 | − | 15.1253i | −0.116287 | − | 0.659496i | ||||
\(527\) | −2.54710 | − | 2.13727i | −0.110954 | − | 0.0931011i | ||||
\(528\) | −17.6630 | + | 14.8210i | −0.768682 | + | 0.645001i | ||||
\(529\) | −2.73308 | + | 15.5001i | −0.118829 | + | 0.673916i | ||||
\(530\) | −3.15910 | + | 1.14982i | −0.137223 | + | 0.0499449i | ||||
\(531\) | −33.3610 | −1.44775 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 6.37227 | 0.276014 | ||||||||
\(534\) | 37.5146 | − | 13.6542i | 1.62342 | − | 0.590875i | ||||
\(535\) | 1.56283 | − | 8.86327i | 0.0675672 | − | 0.383193i | ||||
\(536\) | 17.3063 | − | 14.5217i | 0.747520 | − | 0.627244i | ||||
\(537\) | 25.3935 | + | 21.3077i | 1.09581 | + | 0.919495i | ||||
\(538\) | −4.53643 | − | 25.7274i | −0.195579 | − | 1.10918i | ||||
\(539\) | −7.65910 | − | 13.2660i | −0.329901 | − | 0.571405i | ||||
\(540\) | −0.535959 | + | 0.928309i | −0.0230640 | + | 0.0399480i | ||||
\(541\) | −14.0817 | − | 5.12533i | −0.605420 | − | 0.220355i | 0.0210779 | − | 0.999778i | \(-0.493290\pi\) |
−0.626498 | + | 0.779423i | \(0.715512\pi\) | |||||||
\(542\) | −16.9577 | − | 6.17210i | −0.728396 | − | 0.265114i | ||||
\(543\) | 12.2909 | − | 21.2884i | 0.527451 | − | 0.913572i | ||||
\(544\) | 0.243756 | + | 0.422197i | 0.0104509 | + | 0.0181016i | ||||
\(545\) | −0.278371 | − | 1.57872i | −0.0119241 | − | 0.0676249i | ||||
\(546\) | 2.65657 | + | 2.22913i | 0.113691 | + | 0.0953980i | ||||
\(547\) | −2.97771 | + | 2.49860i | −0.127318 | + | 0.106832i | −0.704223 | − | 0.709979i | \(-0.748705\pi\) |
0.576905 | + | 0.816811i | \(0.304260\pi\) | |||||||
\(548\) | −0.00820761 | + | 0.0465477i | −0.000350612 | + | 0.00198842i | ||||
\(549\) | −45.3842 | + | 16.5185i | −1.93695 | + | 0.704992i | ||||
\(550\) | −12.6800 | −0.540679 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | 22.8384 | 0.972068 | ||||||||
\(553\) | 3.86571 | − | 1.40701i | 0.164387 | − | 0.0598319i | ||||
\(554\) | −4.15199 | + | 23.5471i | −0.176401 | + | 1.00042i | ||||
\(555\) | −9.58899 | + | 8.04612i | −0.407030 | + | 0.341539i | ||||
\(556\) | −0.603541 | − | 0.506431i | −0.0255958 | − | 0.0214774i | ||||
\(557\) | 2.29292 | + | 13.0038i | 0.0971541 | + | 0.550988i | 0.994066 | + | 0.108779i | \(0.0346940\pi\) |
−0.896912 | + | 0.442209i | \(0.854195\pi\) | |||||||
\(558\) | −25.3273 | − | 43.8681i | −1.07219 | − | 1.85709i | ||||
\(559\) | −5.02141 | + | 8.69734i | −0.212383 | + | 0.367858i | ||||
\(560\) | 1.03209 | + | 0.375650i | 0.0436137 | + | 0.0158741i | ||||
\(561\) | −2.81908 | − | 1.02606i | −0.119022 | − | 0.0433203i | ||||
\(562\) | 12.3136 | − | 21.3278i | 0.519418 | − | 0.899659i | ||||
\(563\) | −5.35638 | − | 9.27752i | −0.225745 | − | 0.391001i | 0.730798 | − | 0.682594i | \(-0.239148\pi\) |
−0.956543 | + | 0.291593i | \(0.905815\pi\) | |||||||
\(564\) | −0.673648 | − | 3.82045i | −0.0283657 | − | 0.160870i | ||||
\(565\) | −11.9153 | − | 9.99816i | −0.501282 | − | 0.420626i | ||||
\(566\) | −7.93448 | + | 6.65782i | −0.333511 | + | 0.279849i | ||||
\(567\) | 0.188196 | − | 1.06731i | 0.00790349 | − | 0.0448229i | ||||
\(568\) | 25.7392 | − | 9.36829i | 1.07999 | − | 0.393085i | ||||
\(569\) | −13.4706 | −0.564717 | −0.282358 | − | 0.959309i | \(-0.591117\pi\) | ||||
−0.282358 | + | 0.959309i | \(0.591117\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 12.6655 | 0.530035 | 0.265017 | − | 0.964244i | \(-0.414622\pi\) | ||||
0.265017 | + | 0.964244i | \(0.414622\pi\) | |||||||
\(572\) | −0.995252 | + | 0.362242i | −0.0416136 | + | 0.0151461i | ||||
\(573\) | −9.16772 | + | 51.9927i | −0.382987 | + | 2.17203i | ||||
\(574\) | −0.887374 | + | 0.744596i | −0.0370383 | + | 0.0310788i | ||||
\(575\) | 8.72462 | + | 7.32083i | 0.363842 | + | 0.305300i | ||||
\(576\) | 7.89780 | + | 44.7907i | 0.329075 | + | 1.86628i | ||||
\(577\) | 5.27719 | + | 9.14036i | 0.219692 | + | 0.380518i | 0.954714 | − | 0.297526i | \(-0.0961613\pi\) |
−0.735022 | + | 0.678044i | \(0.762828\pi\) | |||||||
\(578\) | −11.3045 | + | 19.5800i | −0.470206 | + | 0.814421i | ||||
\(579\) | 0.805407 | + | 0.293144i | 0.0334716 | + | 0.0121827i | ||||
\(580\) | −1.05051 | − | 0.382353i | −0.0436199 | − | 0.0158764i | ||||
\(581\) | 2.57532 | − | 4.46059i | 0.106842 | − | 0.185056i | ||||
\(582\) | −18.3366 | − | 31.7600i | −0.760077 | − | 1.31649i | ||||
\(583\) | 1.09714 | + | 6.22221i | 0.0454391 | + | 0.257698i | ||||
\(584\) | 3.13247 | + | 2.62846i | 0.129623 | + | 0.108766i | ||||
\(585\) | 9.17412 | − | 7.69800i | 0.379303 | − | 0.318273i | ||||
\(586\) | 2.45723 | − | 13.9357i | 0.101507 | − | 0.575677i | ||||
\(587\) | 17.9996 | − | 6.55131i | 0.742923 | − | 0.270402i | 0.0572981 | − | 0.998357i | \(-0.481751\pi\) |
0.685624 | + | 0.727955i | \(0.259529\pi\) | |||||||
\(588\) | −3.66044 | −0.150954 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 7.47060 | 0.307560 | ||||||||
\(591\) | 35.5565 | − | 12.9415i | 1.46260 | − | 0.532342i | ||||
\(592\) | −3.08718 | + | 17.5083i | −0.126882 | + | 0.719586i | ||||
\(593\) | −6.66044 | + | 5.58878i | −0.273512 | + | 0.229504i | −0.769218 | − | 0.638987i | \(-0.779354\pi\) |
0.495706 | + | 0.868490i | \(0.334909\pi\) | |||||||
\(594\) | −15.1591 | − | 12.7200i | −0.621985 | − | 0.521908i | ||||
\(595\) | 0.0248149 | + | 0.140732i | 0.00101731 | + | 0.00576947i | ||||
\(596\) | 1.53003 | + | 2.65009i | 0.0626724 | + | 0.108552i | ||||
\(597\) | −0.369585 | + | 0.640140i | −0.0151261 | + | 0.0261992i | ||||
\(598\) | −8.78106 | − | 3.19604i | −0.359084 | − | 0.130696i | ||||
\(599\) | −18.6356 | − | 6.78281i | −0.761431 | − | 0.277138i | −0.0680235 | − | 0.997684i | \(-0.521669\pi\) |
−0.693408 | + | 0.720545i | \(0.743891\pi\) | |||||||
\(600\) | −17.9119 | + | 31.0244i | −0.731252 | + | 1.26657i | ||||
\(601\) | 16.8807 | + | 29.2383i | 0.688579 | + | 1.19265i | 0.972298 | + | 0.233747i | \(0.0750986\pi\) |
−0.283718 | + | 0.958908i | \(0.591568\pi\) | |||||||
\(602\) | −0.317018 | − | 1.79790i | −0.0129207 | − | 0.0732770i | ||||
\(603\) | 31.1070 | + | 26.1019i | 1.26677 | + | 1.06295i | ||||
\(604\) | 0.617460 | − | 0.518110i | 0.0251241 | − | 0.0210816i | ||||
\(605\) | −0.922618 | + | 5.23243i | −0.0375098 | + | 0.212729i | ||||
\(606\) | 33.7165 | − | 12.2718i | 1.36964 | − | 0.498507i | ||||
\(607\) | 35.2850 | 1.43217 | 0.716087 | − | 0.698011i | \(-0.245932\pi\) | ||||
0.716087 | + | 0.698011i | \(0.245932\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 6.87939 | 0.278767 | ||||||||
\(610\) | 10.1630 | − | 3.69902i | 0.411487 | − | 0.149769i | ||||
\(611\) | −3.25877 | + | 18.4814i | −0.131836 | + | 0.747678i | ||||
\(612\) | −0.350452 | + | 0.294064i | −0.0141662 | + | 0.0118868i | ||||
\(613\) | 14.1361 | + | 11.8616i | 0.570952 | + | 0.479085i | 0.881962 | − | 0.471321i | \(-0.156223\pi\) |
−0.311010 | + | 0.950407i | \(0.600667\pi\) | |||||||
\(614\) | 2.73623 | + | 15.5180i | 0.110425 | + | 0.626254i | ||||
\(615\) | 3.13429 | + | 5.42874i | 0.126387 | + | 0.218908i | ||||
\(616\) | 1.13816 | − | 1.97134i | 0.0458576 | − | 0.0794277i | ||||
\(617\) | 33.5333 | + | 12.2051i | 1.35000 | + | 0.491360i | 0.912948 | − | 0.408076i | \(-0.133800\pi\) |
0.437053 | + | 0.899436i | \(0.356022\pi\) | |||||||
\(618\) | 20.0856 | + | 7.31056i | 0.807961 | + | 0.294074i | ||||
\(619\) | −1.82976 | + | 3.16923i | −0.0735441 | + | 0.127382i | −0.900452 | − | 0.434955i | \(-0.856764\pi\) |
0.826908 | + | 0.562337i | \(0.190098\pi\) | |||||||
\(620\) | −0.577382 | − | 1.00005i | −0.0231882 | − | 0.0401631i | ||||
\(621\) | 3.08647 | + | 17.5042i | 0.123856 | + | 0.702420i | ||||
\(622\) | −16.4782 | − | 13.8268i | −0.660715 | − | 0.554406i | ||||
\(623\) | −2.73783 | + | 2.29731i | −0.109689 | + | 0.0920397i | ||||
\(624\) | 4.62836 | − | 26.2487i | 0.185283 | − | 1.05079i | ||||
\(625\) | −13.1540 | + | 4.78768i | −0.526162 | + | 0.191507i | ||||
\(626\) | 35.8767 | 1.43392 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 1.77744 | 0.0709275 | ||||||||
\(629\) | −2.17365 | + | 0.791143i | −0.0866690 | + | 0.0315449i | ||||
\(630\) | −0.378041 | + | 2.14398i | −0.0150615 | + | 0.0854181i | ||||
\(631\) | −0.608126 | + | 0.510278i | −0.0242091 | + | 0.0203139i | −0.654812 | − | 0.755792i | \(-0.727252\pi\) |
0.630603 | + | 0.776106i | \(0.282808\pi\) | |||||||
\(632\) | −26.7098 | − | 22.4122i | −1.06246 | − | 0.891510i | ||||
\(633\) | −1.22416 | − | 6.94253i | −0.0486558 | − | 0.275941i | ||||
\(634\) | 19.8942 | + | 34.4578i | 0.790101 | + | 1.36850i | ||||
\(635\) | −5.10220 | + | 8.83726i | −0.202474 | + | 0.350696i | ||||
\(636\) | 1.41875 | + | 0.516382i | 0.0562570 | + | 0.0204759i | ||||
\(637\) | 16.6395 | + | 6.05628i | 0.659281 | + | 0.239959i | ||||
\(638\) | 10.3191 | − | 17.8732i | 0.408536 | − | 0.707605i | ||||
\(639\) | 24.6168 | + | 42.6375i | 0.973826 | + | 1.68672i | ||||
\(640\) | −1.45037 | − | 8.22546i | −0.0573309 | − | 0.325140i | ||||
\(641\) | 22.5082 | + | 18.8866i | 0.889021 | + | 0.745977i | 0.968013 | − | 0.250898i | \(-0.0807259\pi\) |
−0.0789927 | + | 0.996875i | \(0.525170\pi\) | |||||||
\(642\) | 30.4145 | − | 25.5208i | 1.20036 | − | 1.00722i | ||||
\(643\) | 3.85740 | − | 21.8764i | 0.152121 | − | 0.862721i | −0.809250 | − | 0.587465i | \(-0.800126\pi\) |
0.961371 | − | 0.275257i | \(-0.0887628\pi\) | |||||||
\(644\) | −0.162504 | + | 0.0591466i | −0.00640355 | + | 0.00233070i | ||||
\(645\) | −9.87939 | −0.389000 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 11.2591 | 0.442640 | 0.221320 | − | 0.975201i | \(-0.428963\pi\) | ||||
0.221320 | + | 0.975201i | \(0.428963\pi\) | |||||||
\(648\) | −8.63176 | + | 3.14170i | −0.339088 | + | 0.123418i | ||||
\(649\) | 2.43804 | − | 13.8268i | 0.0957016 | − | 0.542751i | ||||
\(650\) | 11.2285 | − | 9.42182i | 0.440418 | − | 0.369554i | ||||
\(651\) | 5.44356 | + | 4.56769i | 0.213350 | + | 0.179022i | ||||
\(652\) | −0.268104 | − | 1.52049i | −0.0104998 | − | 0.0595471i | ||||
\(653\) | −13.5000 | − | 23.3827i | −0.528296 | − | 0.915035i | −0.999456 | − | 0.0329874i | \(-0.989498\pi\) |
0.471160 | − | 0.882048i | \(-0.343835\pi\) | |||||||
\(654\) | 3.53596 | − | 6.12446i | 0.138267 | − | 0.239485i | ||||
\(655\) | −1.52481 | − | 0.554987i | −0.0595794 | − | 0.0216851i | ||||
\(656\) | 8.36618 | + | 3.04504i | 0.326645 | + | 0.118889i | ||||
\(657\) | −3.67499 | + | 6.36527i | −0.143375 | + | 0.248333i | ||||
\(658\) | −1.70574 | − | 2.95442i | −0.0664966 | − | 0.115175i | ||||
\(659\) | 4.86665 | + | 27.6001i | 0.189578 | + | 1.07515i | 0.919931 | + | 0.392079i | \(0.128244\pi\) |
−0.730354 | + | 0.683069i | \(0.760645\pi\) | |||||||
\(660\) | −0.798133 | − | 0.669713i | −0.0310673 | − | 0.0260686i | ||||
\(661\) | 8.70826 | − | 7.30710i | 0.338712 | − | 0.284213i | −0.457526 | − | 0.889196i | \(-0.651264\pi\) |
0.796239 | + | 0.604983i | \(0.206820\pi\) | |||||||
\(662\) | −6.47250 | + | 36.7074i | −0.251561 | + | 1.42667i | ||||
\(663\) | 3.25877 | − | 1.18610i | 0.126560 | − | 0.0460641i | ||||
\(664\) | −43.6551 | −1.69415 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −35.2395 | −1.36550 | ||||||||
\(667\) | −17.4192 | + | 6.34008i | −0.674475 | + | 0.245489i | ||||
\(668\) | −0.129481 | + | 0.734325i | −0.00500978 | + | 0.0284119i | ||||
\(669\) | 18.7704 | − | 15.7502i | 0.725705 | − | 0.608939i | ||||
\(670\) | −6.96585 | − | 5.84504i | −0.269114 | − | 0.225814i | ||||
\(671\) | −3.52956 | − | 20.0171i | −0.136257 | − | 0.772753i | ||||
\(672\) | −0.520945 | − | 0.902302i | −0.0200959 | − | 0.0348071i | ||||
\(673\) | 8.28359 | − | 14.3476i | 0.319309 | − | 0.553059i | −0.661035 | − | 0.750355i | \(-0.729883\pi\) |
0.980344 | + | 0.197296i | \(0.0632160\pi\) | |||||||
\(674\) | 22.6113 | + | 8.22983i | 0.870954 | + | 0.317001i | ||||
\(675\) | −26.1989 | − | 9.53563i | −1.00840 | − | 0.367027i | ||||
\(676\) | −0.588993 | + | 1.02017i | −0.0226536 | + | 0.0392371i | ||||
\(677\) | 4.52481 | + | 7.83721i | 0.173903 | + | 0.301208i | 0.939781 | − | 0.341777i | \(-0.111029\pi\) |
−0.765878 | + | 0.642986i | \(0.777695\pi\) | |||||||
\(678\) | −11.9153 | − | 67.5753i | −0.457606 | − | 2.59521i | ||||
\(679\) | 2.51501 | + | 2.11035i | 0.0965174 | + | 0.0809877i | ||||
\(680\) | 0.927833 | − | 0.778544i | 0.0355808 | − | 0.0298558i | ||||
\(681\) | 7.07532 | − | 40.1261i | 0.271127 | − | 1.53764i | ||||
\(682\) | 20.0326 | − | 7.29125i | 0.767086 | − | 0.279197i | ||||
\(683\) | 8.73143 | 0.334099 | 0.167049 | − | 0.985949i | \(-0.446576\pi\) | ||||
0.167049 | + | 0.985949i | \(0.446576\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0.224927 | 0.00859402 | ||||||||
\(686\) | −6.10266 | + | 2.22119i | −0.233001 | + | 0.0848053i | ||||
\(687\) | 10.2665 | − | 58.2243i | 0.391692 | − | 2.22139i | ||||
\(688\) | −10.7487 | + | 9.01925i | −0.409791 | + | 0.343856i | ||||
\(689\) | −5.59492 | − | 4.69470i | −0.213150 | − | 0.178854i | ||||
\(690\) | −1.59627 | − | 9.05288i | −0.0607688 | − | 0.344637i | ||||
\(691\) | −17.3601 | − | 30.0686i | −0.660409 | − | 1.14386i | −0.980508 | − | 0.196478i | \(-0.937050\pi\) |
0.320099 | − | 0.947384i | \(-0.396284\pi\) | |||||||
\(692\) | −1.86122 | + | 3.22372i | −0.0707528 | + | 0.122547i | ||||
\(693\) | 3.84477 | + | 1.39938i | 0.146051 | + | 0.0531581i | ||||
\(694\) | −7.34389 | − | 2.67296i | −0.278770 | − | 0.101464i | ||||
\(695\) | −1.87464 | + | 3.24697i | −0.0711091 | + | 0.123164i | ||||
\(696\) | −29.1536 | − | 50.4956i | −1.10507 | − | 1.91403i | ||||
\(697\) | 0.201151 | + | 1.14079i | 0.00761915 | + | 0.0432104i | ||||
\(698\) | −5.54466 | − | 4.65253i | −0.209869 | − | 0.176101i | ||||
\(699\) | −38.9334 | + | 32.6690i | −1.47259 | + | 1.23565i | ||||
\(700\) | 0.0471036 | − | 0.267138i | 0.00178035 | − | 0.0100969i | ||||
\(701\) | −37.0381 | + | 13.4808i | −1.39891 | + | 0.509161i | −0.927854 | − | 0.372943i | \(-0.878349\pi\) |
−0.471055 | + | 0.882104i | \(0.656126\pi\) | |||||||
\(702\) | 22.8753 | 0.863371 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | −19.1411 | −0.721409 | ||||||||
\(705\) | −17.3478 | + | 6.31407i | −0.653355 | + | 0.237802i | ||||
\(706\) | 5.90373 | − | 33.4817i | 0.222190 | − | 1.26010i | ||||
\(707\) | −2.46064 | + | 2.06472i | −0.0925418 | + | 0.0776518i | ||||
\(708\) | −2.57011 | − | 2.15658i | −0.0965906 | − | 0.0810491i | ||||
\(709\) | −7.14068 | − | 40.4968i | −0.268174 | − | 1.52089i | −0.759842 | − | 0.650107i | \(-0.774724\pi\) |
0.491668 | − | 0.870783i | \(-0.336387\pi\) | |||||||
\(710\) | −5.51249 | − | 9.54791i | −0.206880 | − | 0.358327i | ||||
\(711\) | 31.3357 | − | 54.2751i | 1.17518 | − | 2.03548i | ||||
\(712\) | 28.4650 | + | 10.3604i | 1.06677 | + | 0.388273i | ||||
\(713\) | −17.9932 | − | 6.54899i | −0.673850 | − | 0.245261i | ||||
\(714\) | −0.315207 | + | 0.545955i | −0.0117963 | + | 0.0204319i | ||||
\(715\) | 2.52007 | + | 4.36488i | 0.0942452 | + | 0.163237i | ||||
\(716\) | 0.369423 | + | 2.09510i | 0.0138060 | + | 0.0782976i | ||||
\(717\) | −5.18866 | − | 4.35381i | −0.193774 | − | 0.162596i | ||||
\(718\) | −6.90143 | + | 5.79098i | −0.257559 | + | 0.216118i | ||||
\(719\) | −7.36190 | + | 41.7514i | −0.274553 | + | 1.55706i | 0.465827 | + | 0.884876i | \(0.345757\pi\) |
−0.740379 | + | 0.672189i | \(0.765354\pi\) | |||||||
\(720\) | 15.7233 | − | 5.72281i | 0.585972 | − | 0.213276i | ||||
\(721\) | −1.91353 | −0.0712637 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −39.7374 | −1.47785 | ||||||||
\(724\) | 1.48246 | − | 0.539571i | 0.0550952 | − | 0.0200530i | ||||
\(725\) | 5.04916 | − | 28.6352i | 0.187521 | − | 1.06349i | ||||
\(726\) | −17.9552 | + | 15.0662i | −0.666379 | + | 0.559158i | ||||
\(727\) | 39.5710 | + | 33.2040i | 1.46761 | + | 1.23147i | 0.918321 | + | 0.395837i | \(0.129545\pi\) |
0.549288 | + | 0.835633i | \(0.314899\pi\) | |||||||
\(728\) | 0.456929 | + | 2.59137i | 0.0169349 | + | 0.0960427i | ||||
\(729\) | 20.2344 | + | 35.0470i | 0.749423 | + | 1.29804i | ||||
\(730\) | 0.822948 | − | 1.42539i | 0.0304587 | − | 0.0527560i | ||||
\(731\) | −1.71554 | − | 0.624404i | −0.0634514 | − | 0.0230944i | ||||
\(732\) | −4.56418 | − | 1.66122i | −0.168697 | − | 0.0614006i | ||||
\(733\) | 11.4581 | − | 19.8460i | 0.423215 | − | 0.733030i | −0.573037 | − | 0.819530i | \(-0.694235\pi\) |
0.996252 | + | 0.0864997i | \(0.0275682\pi\) | |||||||
\(734\) | 5.46926 | + | 9.47303i | 0.201874 | + | 0.349656i | ||||
\(735\) | 3.02481 | + | 17.1546i | 0.111572 | + | 0.632756i | ||||
\(736\) | 2.15064 | + | 1.80460i | 0.0792738 | + | 0.0665186i | ||||
\(737\) | −13.0915 | + | 10.9851i | −0.482232 | + | 0.404641i | ||||
\(738\) | −3.06443 | + | 17.3792i | −0.112803 | + | 0.639738i | ||||
\(739\) | −26.4304 | + | 9.61986i | −0.972256 | + | 0.353872i | −0.778825 | − | 0.627241i | \(-0.784184\pi\) |
−0.193432 | + | 0.981114i | \(0.561962\pi\) | |||||||
\(740\) | −0.803348 | −0.0295317 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 1.32770 | 0.0487413 | ||||||||
\(743\) | −5.76264 | + | 2.09743i | −0.211411 | + | 0.0769472i | −0.445555 | − | 0.895255i | \(-0.646994\pi\) |
0.234144 | + | 0.972202i | \(0.424771\pi\) | |||||||
\(744\) | 10.4586 | − | 59.3135i | 0.383430 | − | 2.17454i | ||||
\(745\) | 11.1552 | − | 9.36035i | 0.408696 | − | 0.342937i | ||||
\(746\) | −36.0174 | − | 30.2222i | −1.31869 | − | 1.10651i | ||||
\(747\) | −13.6257 | − | 77.2750i | −0.498537 | − | 2.82734i | ||||
\(748\) | −0.0962667 | − | 0.166739i | −0.00351986 | − | 0.00609657i | ||||
\(749\) | −1.77719 | + | 3.07818i | −0.0649371 | + | 0.112474i | ||||
\(750\) | 29.5783 | + | 10.7656i | 1.08005 | + | 0.393105i | ||||
\(751\) | −5.30066 | − | 1.92928i | −0.193424 | − | 0.0704005i | 0.243492 | − | 0.969903i | \(-0.421707\pi\) |
−0.436916 | + | 0.899502i | \(0.643929\pi\) | |||||||
\(752\) | −13.1099 | + | 22.7071i | −0.478070 | + | 0.828042i | ||||
\(753\) | −5.99660 | − | 10.3864i | −0.218528 | − | 0.378502i | ||||
\(754\) | 4.14274 | + | 23.4947i | 0.150870 | + | 0.855625i | ||||
\(755\) | −2.93835 | − | 2.46557i | −0.106937 | − | 0.0897312i | ||||
\(756\) | 0.324292 | − | 0.272114i | 0.0117944 | − | 0.00989668i | ||||
\(757\) | 2.72487 | − | 15.4535i | 0.0990371 | − | 0.561667i | −0.894398 | − | 0.447272i | \(-0.852396\pi\) |
0.993435 | − | 0.114396i | \(-0.0364932\pi\) | |||||||
\(758\) | 2.15405 | − | 0.784009i | 0.0782385 | − | 0.0284765i | ||||
\(759\) | −17.2763 | −0.627090 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 4.86484 | 0.176350 | 0.0881751 | − | 0.996105i | \(-0.471896\pi\) | ||||
0.0881751 | + | 0.996105i | \(0.471896\pi\) | |||||||
\(762\) | −42.3016 | + | 15.3965i | −1.53243 | + | 0.557757i | ||||
\(763\) | −0.109937 | + | 0.623485i | −0.00398000 | + | 0.0225717i | ||||
\(764\) | −2.59555 | + | 2.17793i | −0.0939038 | + | 0.0787946i | ||||
\(765\) | 1.66772 | + | 1.39938i | 0.0602965 | + | 0.0505948i | ||||
\(766\) | −0.687070 | − | 3.89657i | −0.0248249 | − | 0.140789i | ||||
\(767\) | 8.11499 | + | 14.0556i | 0.293015 | + | 0.507517i | ||||
\(768\) | −6.32888 | + | 10.9619i | −0.228374 | + | 0.395555i | ||||
\(769\) | −21.1732 | − | 7.70643i | −0.763526 | − | 0.277901i | −0.0692404 | − | 0.997600i | \(-0.522058\pi\) |
−0.694286 | + | 0.719699i | \(0.744280\pi\) | |||||||
\(770\) | −0.860967 | − | 0.313366i | −0.0310271 | − | 0.0112929i | ||||
\(771\) | 0.960637 | − | 1.66387i | 0.0345965 | − | 0.0599229i | ||||
\(772\) | 0.0275033 | + | 0.0476371i | 0.000989864 | + | 0.00171450i | ||||
\(773\) | −4.58987 | − | 26.0304i | −0.165086 | − | 0.936250i | −0.948976 | − | 0.315350i | \(-0.897878\pi\) |
0.783889 | − | 0.620900i | \(-0.213233\pi\) | |||||||
\(774\) | −21.3056 | − | 17.8775i | −0.765815 | − | 0.642595i | ||||
\(775\) | 23.0082 | − | 19.3062i | 0.826479 | − | 0.693498i | ||||
\(776\) | 4.83203 | − | 27.4038i | 0.173460 | − | 0.983740i | ||||
\(777\) | 4.64543 | − | 1.69080i | 0.166654 | − | 0.0606570i | ||||
\(778\) | 33.0993 | 1.18667 | ||||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | 1.20439 | 0.0431242 | ||||||||
\(781\) | −19.4706 | + | 7.08672i | −0.696713 | + | 0.253583i | ||||
\(782\) | 0.294978 | − | 1.67290i | 0.0105484 | − | 0.0598229i | ||||
\(783\) | 34.7618 | − | 29.1686i | 1.24228 | − | 1.04240i | ||||
\(784\) | 18.9520 | + | 15.9026i | 0.676858 | + | 0.567951i | ||||
\(785\) | −1.46879 | − | 8.32991i | −0.0524233 | − | 0.297307i | ||||
\(786\) | −3.57919 | − | 6.19934i | −0.127666 | − | 0.221123i | ||||
\(787\) | 7.77884 | − | 13.4733i | 0.277286 | − | 0.480273i | −0.693424 | − | 0.720530i | \(-0.743899\pi\) |
0.970709 | + | 0.240257i | \(0.0772318\pi\) | |||||||
\(788\) | 2.28194 | + | 0.830557i | 0.0812906 | + | 0.0295874i | ||||
\(789\) | 30.8444 | + | 11.2264i | 1.09809 | + | 0.399671i | ||||
\(790\) | −7.01707 | + | 12.1539i | −0.249656 | + | 0.432417i | ||||
\(791\) | 3.07145 | + | 5.31991i | 0.109208 | + | 0.189154i | ||||
\(792\) | −6.02182 | − | 34.1514i | −0.213976 | − | 1.21352i | ||||
\(793\) | 17.9991 | + | 15.1031i | 0.639168 | + | 0.536325i | ||||
\(794\) | 32.8573 | − | 27.5706i | 1.16606 | − | 0.978443i | ||||
\(795\) | 1.24763 | − | 7.07564i | 0.0442487 | − | 0.250947i | ||||
\(796\) | −0.0445774 | + | 0.0162249i | −0.00158000 | + | 0.000575075i | ||||
\(797\) | 33.4935 | 1.18640 | 0.593200 | − | 0.805055i | \(-0.297864\pi\) | ||||
0.593200 | + | 0.805055i | \(0.297864\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −3.41147 | −0.120689 | ||||||||
\(800\) | −4.13816 | + | 1.50617i | −0.146306 | + | 0.0532510i | ||||
\(801\) | −9.45471 | + | 53.6203i | −0.334066 | + | 1.89458i | ||||
\(802\) | 0.0892411 | − | 0.0748822i | 0.00315121 | − | 0.00264418i | ||||
\(803\) | −2.36959 | − | 1.98832i | −0.0836208 | − | 0.0701662i | ||||
\(804\) | 0.709141 | + | 4.02174i | 0.0250095 | + | 0.141836i | ||||
\(805\) | 0.411474 | + | 0.712694i | 0.0145026 | + | 0.0251192i | ||||
\(806\) | −12.3216 | + | 21.3416i | −0.434010 | + | 0.751727i | ||||
\(807\) | 52.4646 | + | 19.0955i | 1.84684 | + | 0.672195i | ||||
\(808\) | 25.5831 | + | 9.31147i | 0.900009 | + | 0.327576i | ||||
\(809\) | −20.5581 | + | 35.6076i | −0.722784 | + | 1.25190i | 0.237096 | + | 0.971486i | \(0.423804\pi\) |
−0.959880 | + | 0.280412i | \(0.909529\pi\) | |||||||
\(810\) | 1.84864 | + | 3.20194i | 0.0649546 | + | 0.112505i | ||||
\(811\) | 2.89780 | + | 16.4343i | 0.101756 | + | 0.577085i | 0.992467 | + | 0.122515i | \(0.0390959\pi\) |
−0.890711 | + | 0.454570i | \(0.849793\pi\) | |||||||
\(812\) | 0.338211 | + | 0.283793i | 0.0118689 | + | 0.00995918i | ||||
\(813\) | 29.5442 | − | 24.7905i | 1.03616 | − | 0.869441i | ||||
\(814\) | 2.57532 | − | 14.6054i | 0.0902650 | − | 0.511918i | ||||
\(815\) | −6.90420 | + | 2.51292i | −0.241844 | + | 0.0880239i | ||||
\(816\) | 4.84524 | 0.169617 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | −26.9540 | −0.942424 | ||||||||
\(819\) | −4.44444 | + | 1.61764i | −0.155301 | + | 0.0565251i | ||||
\(820\) | −0.0698592 | + | 0.396191i | −0.00243959 | + | 0.0138356i | ||||
\(821\) | −24.0462 | + | 20.1772i | −0.839219 | + | 0.704188i | −0.957388 | − | 0.288805i | \(-0.906742\pi\) |
0.118169 | + | 0.992994i | \(0.462298\pi\) | |||||||
\(822\) | 0.760115 | + | 0.637812i | 0.0265120 | + | 0.0222462i | ||||
\(823\) | 8.04442 | + | 45.6221i | 0.280411 | + | 1.59029i | 0.721232 | + | 0.692693i | \(0.243576\pi\) |
−0.440822 | + | 0.897595i | \(0.645313\pi\) | |||||||
\(824\) | 8.10922 | + | 14.0456i | 0.282498 | + | 0.489301i | ||||
\(825\) | 13.5496 | − | 23.4686i | 0.471738 | − | 0.817073i | ||||
\(826\) | −2.77244 | − | 1.00909i | −0.0964656 | − | 0.0351106i | ||||
\(827\) | −38.3007 | − | 13.9403i | −1.33185 | − | 0.484752i | −0.424611 | − | 0.905376i | \(-0.639589\pi\) |
−0.907235 | + | 0.420623i | \(0.861811\pi\) | |||||||
\(828\) | −1.31727 | + | 2.28157i | −0.0457782 | + | 0.0792901i | ||||
\(829\) | 17.7417 | + | 30.7295i | 0.616195 | + | 1.06728i | 0.990174 | + | 0.139843i | \(0.0446598\pi\) |
−0.373979 | + | 0.927437i | \(0.622007\pi\) | |||||||
\(830\) | 3.05122 | + | 17.3043i | 0.105909 | + | 0.600642i | ||||
\(831\) | −39.1450 | − | 32.8466i | −1.35793 | − | 1.13943i | ||||
\(832\) | 16.9500 | − | 14.2227i | 0.587634 | − | 0.493084i | ||||
\(833\) | −0.558963 | + | 3.17004i | −0.0193669 | + | 0.109835i | ||||
\(834\) | −15.5424 | + | 5.65695i | −0.538188 | + | 0.195884i | ||||
\(835\) | 3.54839 | 0.122797 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 46.8735 | 1.62019 | ||||||||
\(838\) | 32.1698 | − | 11.7089i | 1.11129 | − | 0.404476i | ||||
\(839\) | −6.63382 | + | 37.6223i | −0.229025 | + | 1.29886i | 0.625815 | + | 0.779972i | \(0.284767\pi\) |
−0.854839 | + | 0.518893i | \(0.826344\pi\) | |||||||
\(840\) | −1.98293 | + | 1.66387i | −0.0684174 | + | 0.0574091i | ||||
\(841\) | 14.0385 | + | 11.7797i | 0.484086 | + | 0.406196i | ||||
\(842\) | −1.02229 | − | 5.79769i | −0.0352304 | − | 0.199802i | ||||
\(843\) | 26.3161 | + | 45.5809i | 0.906376 | + | 1.56989i | ||||
\(844\) | 0.226215 | − | 0.391815i | 0.00778663 | − | 0.0134868i | ||||
\(845\) | 5.26769 | + | 1.91728i | 0.181214 | + | 0.0659566i | ||||
\(846\) | −48.8376 | − | 17.7754i | −1.67907 | − | 0.611131i | ||||
\(847\) | 1.04916 | − | 1.81720i | 0.0360497 | − | 0.0624399i | ||||
\(848\) | −5.10220 | − | 8.83726i | −0.175210 | − | 0.303473i | ||||
\(849\) | −3.84389 | − | 21.7998i | −0.131922 | − | 0.748167i | ||||
\(850\) | 2.04117 | + | 1.71275i | 0.0700117 | + | 0.0587468i | ||||
\(851\) | −10.2044 | + | 8.56250i | −0.349802 | + | 0.293519i | ||||
\(852\) | −0.859785 | + | 4.87608i | −0.0294557 | + | 0.167052i | ||||
\(853\) | 24.0577 | − | 8.75628i | 0.823719 | − | 0.299809i | 0.104441 | − | 0.994531i | \(-0.466695\pi\) |
0.719278 | + | 0.694722i | \(0.244473\pi\) | |||||||
\(854\) | −4.27126 | −0.146159 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 30.1257 | 1.02967 | ||||||||
\(857\) | 19.8148 | − | 7.21200i | 0.676861 | − | 0.246357i | 0.0193616 | − | 0.999813i | \(-0.493837\pi\) |
0.657499 | + | 0.753455i | \(0.271614\pi\) | |||||||
\(858\) | −3.86097 | + | 21.8966i | −0.131811 | + | 0.747539i | ||||
\(859\) | −14.9893 | + | 12.5775i | −0.511429 | + | 0.429140i | −0.861632 | − | 0.507534i | \(-0.830557\pi\) |
0.350203 | + | 0.936674i | \(0.386113\pi\) | |||||||
\(860\) | −0.485700 | − | 0.407551i | −0.0165622 | − | 0.0138974i | ||||
\(861\) | −0.429892 | − | 2.43804i | −0.0146507 | − | 0.0830882i | ||||
\(862\) | −25.8050 | − | 44.6956i | −0.878922 | − | 1.52234i | ||||
\(863\) | −2.47447 | + | 4.28591i | −0.0842319 | + | 0.145894i | −0.905064 | − | 0.425276i | \(-0.860177\pi\) |
0.820832 | + | 0.571170i | \(0.193510\pi\) | |||||||
\(864\) | −6.45811 | − | 2.35056i | −0.219709 | − | 0.0799677i | ||||
\(865\) | 16.6459 | + | 6.05861i | 0.565977 | + | 0.205999i | ||||
\(866\) | −12.2139 | + | 21.1552i | −0.415047 | + | 0.718882i | ||||
\(867\) | −24.1596 | − | 41.8456i | −0.820502 | − | 1.42115i | ||||
\(868\) | 0.0791925 | + | 0.449123i | 0.00268797 | + | 0.0152442i | ||||
\(869\) | 20.2049 | + | 16.9539i | 0.685403 | + | 0.575121i | ||||
\(870\) | −17.9782 | + | 15.0855i | −0.609517 | + | 0.511446i | ||||
\(871\) | 3.43047 | − | 19.4551i | 0.116237 | − | 0.659212i | ||||
\(872\) | 5.04236 | − | 1.83527i | 0.170756 | − | 0.0621500i | ||||
\(873\) | 50.0164 | 1.69280 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −2.81790 | −0.0952623 | ||||||||
\(876\) | −0.694593 | + | 0.252811i | −0.0234681 | + | 0.00854169i | ||||
\(877\) | 0.211829 | − | 1.20134i | 0.00715296 | − | 0.0405664i | −0.981022 | − | 0.193895i | \(-0.937888\pi\) |
0.988175 | + | 0.153328i | \(0.0489991\pi\) | |||||||
\(878\) | 6.28603 | − | 5.27460i | 0.212143 | − | 0.178009i | ||||
\(879\) | 23.1668 | + | 19.4393i | 0.781398 | + | 0.655671i | ||||
\(880\) | 1.22281 | + | 6.93491i | 0.0412210 | + | 0.233776i | ||||
\(881\) | −23.2515 | − | 40.2728i | −0.783363 | − | 1.35682i | −0.929972 | − | 0.367630i | \(-0.880169\pi\) |
0.146609 | − | 0.989194i | \(-0.453164\pi\) | |||||||
\(882\) | −24.5194 | + | 42.4688i | −0.825610 | + | 1.43000i | ||||
\(883\) | −12.1454 | − | 4.42057i | −0.408726 | − | 0.148764i | 0.129471 | − | 0.991583i | \(-0.458672\pi\) |
−0.538197 | + | 0.842819i | \(0.680894\pi\) | |||||||
\(884\) | 0.209141 | + | 0.0761210i | 0.00703416 | + | 0.00256023i | ||||
\(885\) | −7.98293 | + | 13.8268i | −0.268343 | + | 0.464784i | ||||
\(886\) | −20.1374 | − | 34.8791i | −0.676531 | − | 1.17179i | ||||
\(887\) | −4.03286 | − | 22.8715i | −0.135410 | − | 0.767949i | −0.974573 | − | 0.224069i | \(-0.928066\pi\) |
0.839163 | − | 0.543880i | \(-0.183045\pi\) | |||||||
\(888\) | −32.0972 | − | 26.9327i | −1.07711 | − | 0.903804i | ||||
\(889\) | 3.08718 | − | 2.59045i | 0.103541 | − | 0.0868810i | ||||
\(890\) | 2.11721 | − | 12.0073i | 0.0709691 | − | 0.402486i | ||||
\(891\) | 6.52956 | − | 2.37657i | 0.218749 | − | 0.0796180i | ||||
\(892\) | 1.57255 | 0.0526528 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 64.2404 | 2.14852 | ||||||||
\(895\) | 9.51337 | − | 3.46258i | 0.317997 | − | 0.115741i | ||||
\(896\) | −0.572796 | + | 3.24849i | −0.0191358 | + | 0.108524i | ||||
\(897\) | 15.2986 | − | 12.8370i | 0.510805 | − | 0.428617i | ||||
\(898\) | 11.6109 | + | 9.74270i | 0.387461 | + | 0.325118i | ||||
\(899\) | 8.48886 | + | 48.1427i | 0.283119 | + | 1.60565i | ||||
\(900\) | −2.06624 | − | 3.57883i | −0.0688746 | − | 0.119294i | ||||
\(901\) | 0.663848 | − | 1.14982i | 0.0221160 | − | 0.0383060i | ||||
\(902\) | −6.97906 | − | 2.54017i | −0.232377 | − | 0.0845784i | ||||
\(903\) | 3.66637 | + | 1.33445i | 0.122009 | + | 0.0444078i | ||||
\(904\) | 26.0326 | − | 45.0897i | 0.865830 | − | 1.49966i | ||||
\(905\) | −3.75372 | − | 6.50163i | −0.124778 | − | 0.216122i | ||||
\(906\) | −2.93835 | − | 16.6642i | −0.0976201 | − | 0.553631i | ||||
\(907\) | −30.6393 | − | 25.7095i | −1.01736 | − | 0.853669i | −0.0280687 | − | 0.999606i | \(-0.508936\pi\) |
−0.989294 | + | 0.145937i | \(0.953380\pi\) | |||||||
\(908\) | 2.00316 | − | 1.68085i | 0.0664770 | − | 0.0557809i | ||||
\(909\) | −8.49747 | + | 48.1916i | −0.281843 | + | 1.59841i | ||||
\(910\) | 0.995252 | − | 0.362242i | 0.0329923 | − | 0.0120082i | ||||
\(911\) | −18.7997 | −0.622863 | −0.311431 | − | 0.950269i | \(-0.600808\pi\) | ||||
−0.311431 | + | 0.950269i | \(0.600808\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 33.0232 | 1.09291 | ||||||||
\(914\) | −29.6129 | + | 10.7782i | −0.979509 | + | 0.356512i | ||||
\(915\) | −4.01367 | + | 22.7627i | −0.132688 | + | 0.752510i | ||||
\(916\) | 2.90664 | − | 2.43896i | 0.0960381 | − | 0.0805855i | ||||
\(917\) | 0.490915 | + | 0.411927i | 0.0162114 | + | 0.0136030i | ||||
\(918\) | 0.722096 | + | 4.09521i | 0.0238327 | + | 0.135162i | ||||
\(919\) | −19.9158 | − | 34.4952i | −0.656962 | − | 1.13789i | −0.981398 | − | 0.191984i | \(-0.938508\pi\) |
0.324436 | − | 0.945908i | \(-0.394825\pi\) | |||||||
\(920\) | 3.48751 | − | 6.04055i | 0.114980 | − | 0.199151i | ||||
\(921\) | −31.6450 | − | 11.5178i | −1.04274 | − | 0.379526i | ||||
\(922\) | −46.3671 | − | 16.8762i | −1.52702 | − | 0.555790i | ||||
\(923\) | 11.9760 | − | 20.7430i | 0.394193 | − | 0.682763i | ||||
\(924\) | 0.205737 | + | 0.356347i | 0.00676825 | + | 0.0117230i | ||||
\(925\) | −3.62836 | − | 20.5774i | −0.119300 | − | 0.676582i | ||||
\(926\) | 44.3658 | + | 37.2273i | 1.45795 | + | 1.22337i | ||||
\(927\) | −22.3314 | + | 18.7383i | −0.733460 | + | 0.615446i | ||||
\(928\) | 1.24463 | − | 7.05866i | 0.0408571 | − | 0.231712i | ||||
\(929\) | −25.3285 | + | 9.21881i | −0.831000 | + | 0.302459i | −0.722269 | − | 0.691612i | \(-0.756901\pi\) |
−0.108731 | + | 0.994071i | \(0.534679\pi\) | |||||||
\(930\) | −24.2422 | −0.794932 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −3.26176 | −0.106843 | ||||||||
\(933\) | 43.1994 | − | 15.7233i | 1.41428 | − | 0.514758i | ||||
\(934\) | −5.98839 | + | 33.9618i | −0.195946 | + | 1.11127i | ||||
\(935\) | −0.701867 | + | 0.588936i | −0.0229535 | + | 0.0192603i | ||||
\(936\) | 30.7085 | + | 25.7675i | 1.00374 | + | 0.842236i | ||||
\(937\) | 0.455585 | + | 2.58375i | 0.0148833 | + | 0.0844074i | 0.991345 | − | 0.131285i | \(-0.0419103\pi\) |
−0.976461 | + | 0.215692i | \(0.930799\pi\) | |||||||
\(938\) | 1.79561 | + | 3.11008i | 0.0586287 | + | 0.101548i | ||||
\(939\) | −38.3371 | + | 66.4018i | −1.25108 | + | 2.16694i | ||||
\(940\) | −1.11334 | − | 0.405223i | −0.0363132 | − | 0.0132169i | ||||
\(941\) | 17.5437 | + | 6.38538i | 0.571908 | + | 0.208158i | 0.611754 | − | 0.791048i | \(-0.290464\pi\) |
−0.0398455 | + | 0.999206i | \(0.512687\pi\) | |||||||
\(942\) | 18.6570 | − | 32.3149i | 0.607879 | − | 1.05288i | ||||
\(943\) | 3.33544 | + | 5.77715i | 0.108617 | + | 0.188130i | ||||
\(944\) | 3.93763 | + | 22.3314i | 0.128159 | + | 0.726826i | ||||
\(945\) | −1.54323 | − | 1.29493i | −0.0502014 | − | 0.0421240i | ||||
\(946\) | 8.96657 | − | 7.52384i | 0.291528 | − | 0.244621i | ||||
\(947\) | 1.45858 | − | 8.27201i | 0.0473974 | − | 0.268804i | −0.951895 | − | 0.306425i | \(-0.900867\pi\) |
0.999292 | + | 0.0376214i | \(0.0119781\pi\) | |||||||
\(948\) | 5.92262 | − | 2.15566i | 0.192358 | − | 0.0700125i | ||||
\(949\) | 3.57573 | 0.116073 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −85.0343 | −2.75742 | ||||||||
\(952\) | −0.449493 | + | 0.163602i | −0.0145681 | + | 0.00530237i | ||||
\(953\) | 5.85070 | − | 33.1810i | 0.189523 | − | 1.07484i | −0.730483 | − | 0.682931i | \(-0.760705\pi\) |
0.920005 | − | 0.391906i | \(-0.128184\pi\) | |||||||
\(954\) | 15.4945 | − | 13.0015i | 0.501654 | − | 0.420938i | ||||
\(955\) | 12.3516 | + | 10.3643i | 0.399689 | + | 0.335379i | ||||
\(956\) | −0.0754843 | − | 0.428092i | −0.00244134 | − | 0.0138455i | ||||
\(957\) | 22.0535 | + | 38.1978i | 0.712888 | + | 1.23476i | ||||
\(958\) | 25.7173 | − | 44.5438i | 0.830890 | − | 1.43914i | ||||
\(959\) | −0.0834734 | − | 0.0303818i | −0.00269550 | − | 0.000981081i | ||||
\(960\) | 20.4538 | + | 7.44459i | 0.660145 | + | 0.240273i | ||||
\(961\) | −9.74809 | + | 16.8842i | −0.314455 | + | 0.544651i | ||||
\(962\) | 8.57192 | + | 14.8470i | 0.276370 | + | 0.478686i | ||||
\(963\) | 9.40286 | + | 53.3262i | 0.303003 | + | 1.71841i | ||||
\(964\) | −1.95361 | − | 1.63927i | −0.0629216 | − | 0.0527975i | ||||
\(965\) | 0.200522 | − | 0.168258i | 0.00645505 | − | 0.00541643i | ||||
\(966\) | −0.630415 | + | 3.57526i | −0.0202833 | + | 0.115032i | ||||
\(967\) | −11.0351 | + | 4.01644i | −0.354864 | + | 0.129160i | −0.513300 | − | 0.858209i | \(-0.671577\pi\) |
0.158436 | + | 0.987369i | \(0.449355\pi\) | |||||||
\(968\) | −17.7847 | −0.571621 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −11.2003 | −0.359619 | ||||||||
\(971\) | −12.0368 | + | 4.38105i | −0.386280 | + | 0.140595i | −0.527858 | − | 0.849333i | \(-0.677005\pi\) |
0.141578 | + | 0.989927i | \(0.454783\pi\) | |||||||
\(972\) | −0.346667 | + | 1.96605i | −0.0111194 | + | 0.0630610i | ||||
\(973\) | 1.13429 | − | 0.951778i | 0.0363635 | − | 0.0305126i | ||||
\(974\) | −8.01296 | − | 6.72367i | −0.256752 | − | 0.215440i | ||||
\(975\) | 5.43969 | + | 30.8500i | 0.174210 | + | 0.987992i | ||||
\(976\) | 16.4140 | + | 28.4299i | 0.525399 | + | 0.910018i | ||||
\(977\) | −7.26382 | + | 12.5813i | −0.232390 | + | 0.402512i | −0.958511 | − | 0.285055i | \(-0.907988\pi\) |
0.726121 | + | 0.687567i | \(0.241321\pi\) | |||||||
\(978\) | −30.4577 | − | 11.0857i | −0.973930 | − | 0.354481i | ||||
\(979\) | −21.5326 | − | 7.83721i | −0.688183 | − | 0.250478i | ||||
\(980\) | −0.558963 | + | 0.968153i | −0.0178554 | + | 0.0309265i | ||||
\(981\) | 4.82248 | + | 8.35278i | 0.153970 | + | 0.266684i | ||||
\(982\) | 8.59152 | + | 48.7249i | 0.274166 | + | 1.55487i | ||||
\(983\) | −28.3821 | − | 23.8154i | −0.905249 | − | 0.759594i | 0.0659599 | − | 0.997822i | \(-0.478989\pi\) |
−0.971209 | + | 0.238228i | \(0.923433\pi\) | |||||||
\(984\) | −16.0737 | + | 13.4875i | −0.512412 | + | 0.429965i | ||||
\(985\) | 2.00670 | − | 11.3806i | 0.0639388 | − | 0.362615i | ||||
\(986\) | −4.07532 | + | 1.48330i | −0.129785 | + | 0.0472378i | ||||
\(987\) | 7.29086 | 0.232071 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −10.5134 | −0.334307 | ||||||||
\(990\) | −13.1163 | + | 4.77396i | −0.416864 | + | 0.151726i | ||||
\(991\) | 0.595856 | − | 3.37927i | 0.0189280 | − | 0.107346i | −0.973880 | − | 0.227063i | \(-0.927088\pi\) |
0.992808 | + | 0.119717i | \(0.0381988\pi\) | |||||||
\(992\) | 5.67159 | − | 4.75903i | 0.180073 | − | 0.151099i | ||||
\(993\) | −61.0228 | − | 51.2042i | −1.93650 | − | 1.62492i | ||||
\(994\) | 0.756082 | + | 4.28795i | 0.0239815 | + | 0.136006i | ||||
\(995\) | 0.112874 | + | 0.195503i | 0.00357835 | + | 0.00619788i | ||||
\(996\) | 3.94562 | − | 6.83402i | 0.125022 | − | 0.216544i | ||||
\(997\) | −12.0055 | − | 4.36965i | −0.380219 | − | 0.138388i | 0.144838 | − | 0.989455i | \(-0.453734\pi\) |
−0.525057 | + | 0.851067i | \(0.675956\pi\) | |||||||
\(998\) | 6.23695 | + | 2.27006i | 0.197427 | + | 0.0718576i | ||||
\(999\) | 16.3045 | − | 28.2403i | 0.515852 | − | 0.893483i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))