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 | 99.1 | ||
Root | \(-0.173648 - 0.984808i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 361.99 |
Dual form | 361.2.e.b.62.1 |
$q$-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 \(\left(\mathbb{Z}/361\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) |
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 | \(-0.546926\pi\) |
−0.748339 | + | 0.663316i | \(0.769148\pi\) | |||||||
\(3\) | 0.500000 | + | 2.83564i | 0.288675 | + | 1.63716i | 0.691854 | + | 0.722037i | \(0.256794\pi\) |
−0.403179 | + | 0.915121i | \(0.632095\pi\) | |||||||
\(4\) | −0.141559 | − | 0.118782i | −0.0707796 | − | 0.0593912i | ||||
\(5\) | 0.673648 | − | 0.565258i | 0.301265 | − | 0.252791i | −0.479606 | − | 0.877484i | \(-0.659220\pi\) |
0.780870 | + | 0.624693i | \(0.214776\pi\) | |||||||
\(6\) | 0.673648 | − | 3.82045i | 0.275016 | − | 1.55969i | ||||
\(7\) | −0.173648 | + | 0.300767i | −0.0656328 | + | 0.113679i | −0.896975 | − | 0.442082i | \(-0.854240\pi\) |
0.831342 | + | 0.555762i | \(0.187573\pi\) | |||||||
\(8\) | 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 | 0.983616 | − | 0.180276i | \(-0.0576989\pi\) |
−0.647931 | + | 0.761699i | \(0.724366\pi\) | |||||||
\(12\) | 0.266044 | − | 0.460802i | 0.0768004 | − | 0.133022i | ||||
\(13\) | −0.446967 | + | 2.53487i | −0.123966 | + | 0.703047i | 0.857950 | + | 0.513733i | \(0.171738\pi\) |
−0.981916 | + | 0.189315i | \(0.939373\pi\) | |||||||
\(14\) | 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 | 0.288149 | − | 0.957586i | \(-0.406960\pi\) |
−0.394790 | + | 0.918772i | \(0.629183\pi\) | |||||||
\(18\) | 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 | 0.401696 | − | 0.915773i | \(-0.368421\pi\) |
−0.832107 | + | 0.554616i | \(0.812865\pi\) | |||||||
\(24\) | −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 | \(-0.831653\pi\) |
−0.337055 | + | 0.941485i | \(0.609431\pi\) | |||||||
\(30\) | −1.70574 | − | 2.95442i | −0.311424 | − | 0.539401i | ||||
\(31\) | −3.55303 | + | 6.15403i | −0.638144 | + | 1.10530i | 0.347696 | + | 0.937607i | \(0.386964\pi\) |
−0.985840 | + | 0.167690i | \(0.946369\pi\) | |||||||
\(32\) | 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 | \(-0.633202\pi\) | ||||
−0.406358 | + | 0.913714i | \(0.633202\pi\) | |||||||
\(38\) | 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 | −0.999800 | − | 0.0200065i | \(-0.993631\pi\) |
0.932662 | − | 0.360752i | \(-0.117480\pi\) | |||||||
\(42\) | 1.03209 | + | 0.866025i | 0.159255 | + | 0.133631i | ||||
\(43\) | 2.98886 | − | 2.50795i | 0.455796 | − | 0.382458i | −0.385785 | − | 0.922589i | \(-0.626069\pi\) |
0.841581 | + | 0.540130i | \(0.181625\pi\) | |||||||
\(44\) | 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 | 0.210013 | − | 0.977699i | \(-0.432649\pi\) |
0.789332 | + | 0.613967i | \(0.210427\pi\) | |||||||
\(48\) | 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 | \(-0.215346\pi\) |
−0.481177 | + | 0.876624i | \(0.659790\pi\) | |||||||
\(54\) | 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 | \(-0.523516\pi\) |
−0.697577 | + | 0.716510i | \(0.745738\pi\) | |||||||
\(60\) | −0.0812519 | − | 0.460802i | −0.0104896 | − | 0.0594893i | ||||
\(61\) | 6.99273 | + | 5.86759i | 0.895327 | + | 0.751268i | 0.969271 | − | 0.245994i | \(-0.0791143\pi\) |
−0.0739445 | + | 0.997262i | \(0.523559\pi\) | |||||||
\(62\) | 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 | \(-0.455789\pi\) |
0.742655 | + | 0.669675i | \(0.233566\pi\) | |||||||
\(68\) | 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 | \(-0.536021\pi\) |
0.958901 | + | 0.283742i | \(0.0915761\pi\) | |||||||
\(72\) | −11.9304 | − | 10.0108i | −1.40601 | − | 1.17978i | ||||
\(73\) | 0.241230 | + | 1.36808i | 0.0282338 | + | 0.160122i | 0.995665 | − | 0.0930125i | \(-0.0296497\pi\) |
−0.967431 | + | 0.253134i | \(0.918539\pi\) | |||||||
\(74\) | 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 | 0.850024 | + | 0.526744i | \(0.176587\pi\) |
−0.618604 | + | 0.785703i | \(0.712302\pi\) | |||||||
\(80\) | −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 | −0.0961469 | − | 0.995367i | \(-0.530652\pi\) |
0.910087 | − | 0.414418i | \(-0.136015\pi\) | |||||||
\(84\) | 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 | −0.730723 | − | 0.682674i | \(-0.760817\pi\) |
0.920143 | − | 0.391582i | \(-0.128072\pi\) | |||||||
\(90\) | 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 | \(-0.229554\pi\) |
0.150921 | + | 0.988546i | \(0.451776\pi\) | |||||||
\(98\) | −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 | 0.794446 | + | 0.607334i | \(0.207761\pi\) |
−0.954256 | + | 0.298991i | \(0.903350\pi\) | |||||||
\(102\) | −0.907604 | + | 1.57202i | −0.0898662 | + | 0.155653i | ||||
\(103\) | −2.75490 | − | 4.77163i | −0.271448 | − | 0.470162i | 0.697785 | − | 0.716308i | \(-0.254169\pi\) |
−0.969233 | + | 0.246145i | \(0.920836\pi\) | |||||||
\(104\) | −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 | \(-0.668611\pi\) |
0.999981 | + | 0.00610974i | \(0.00194480\pi\) | |||||||
\(108\) | −0.211667 | + | 1.20042i | −0.0203677 | + | 0.115511i | ||||
\(109\) | 1.39646 | − | 1.17177i | 0.133757 | − | 0.112235i | −0.573455 | − | 0.819237i | \(-0.694397\pi\) |
0.707212 | + | 0.707002i | \(0.249953\pi\) | |||||||
\(110\) | −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 | \(-0.187217\pi\) | ||||
0.831963 | + | 0.554830i | \(0.187217\pi\) | |||||||
\(114\) | 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 | 0.754858 | + | 0.655889i | \(0.227706\pi\) |
−0.933661 | + | 0.358157i | \(0.883405\pi\) | |||||||
\(128\) | 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 | 0.265159 | − | 0.964205i | \(-0.414576\pi\) |
−0.416655 | + | 0.909065i | \(0.636798\pi\) | |||||||
\(132\) | 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 | 0.651119 | − | 0.758975i | \(-0.274300\pi\) |
−0.634379 | + | 0.773022i | \(0.718744\pi\) | |||||||
\(138\) | −8.00774 | + | 6.71929i | −0.681664 | + | 0.571984i | ||||
\(139\) | 0.740352 | − | 4.19875i | 0.0627959 | − | 0.356133i | −0.937178 | − | 0.348852i | \(-0.886571\pi\) |
0.999973 | − | 0.00728048i | \(-0.00231747\pi\) | |||||||
\(140\) | 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 | 0.841407 | + | 0.540402i | \(0.181728\pi\) |
−0.605836 | + | 0.795590i | \(0.707161\pi\) | |||||||
\(150\) | 15.4081 | + | 5.60808i | 1.25806 | + | 0.457898i | ||||
\(151\) | 4.36184 | 0.354962 | 0.177481 | − | 0.984124i | \(-0.443205\pi\) | ||||
0.177481 | + | 0.984124i | \(0.443205\pi\) | |||||||
\(152\) | 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 | −0.887579 | − | 0.460655i | \(-0.847615\pi\) |
0.299530 | + | 0.954087i | \(0.403170\pi\) | |||||||
\(158\) | 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 | 0.654748 | − | 0.755847i | \(-0.272775\pi\) |
−0.981957 | + | 0.189105i | \(0.939441\pi\) | |||||||
\(164\) | −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 | \(-0.327677\pi\) |
−0.754502 | + | 0.656298i | \(0.772122\pi\) | |||||||
\(168\) | −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 | \(-0.666523\pi\) |
−0.939538 | + | 0.342445i | \(0.888745\pi\) | |||||||
\(174\) | 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 | \(-0.308238\pi\) |
−0.996894 | + | 0.0787564i | \(0.974905\pi\) | |||||||
\(180\) | 0.807934 | − | 0.294064i | 0.0602198 | − | 0.0219182i | ||||
\(181\) | 8.02229 | − | 2.91987i | 0.596292 | − | 0.217033i | −0.0262026 | − | 0.999657i | \(-0.508341\pi\) |
0.622495 | + | 0.782624i | \(0.286119\pi\) | |||||||
\(182\) | 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 | \(-0.0589658\pi\) |
−0.986612 | + | 0.163088i | \(0.947855\pi\) | |||||||
\(194\) | −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 | −0.999337 | − | 0.0364128i | \(-0.988407\pi\) |
0.531203 | + | 0.847245i | \(0.321740\pi\) | |||||||
\(198\) | 7.93629 | + | 13.7461i | 0.564008 | + | 0.976890i | ||||
\(199\) | 0.241230 | − | 0.0878004i | 0.0171003 | − | 0.00622400i | −0.333456 | − | 0.942766i | \(-0.608215\pi\) |
0.350556 | + | 0.936542i | \(0.385993\pi\) | |||||||
\(200\) | −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 | \(-0.362032\pi\) |
−0.261611 | + | 0.965173i | \(0.584254\pi\) | |||||||
\(212\) | −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 | \(-0.630252\pi\) |
0.834412 | + | 0.551142i | \(0.185808\pi\) | |||||||
\(224\) | 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 | \(-0.344396\pi\) | ||||
0.469606 | + | 0.882876i | \(0.344396\pi\) | |||||||
\(228\) | 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 | −0.0815496 | − | 0.996669i | \(-0.525987\pi\) |
0.967367 | + | 0.253380i | \(0.0815425\pi\) | |||||||
\(234\) | −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 | 0.825475 | − | 0.564438i | \(-0.190907\pi\) |
−0.901556 | + | 0.432663i | \(0.857574\pi\) | |||||||
\(240\) | 4.55303 | − | 7.88609i | 0.293897 | − | 0.509045i | ||||
\(241\) | −2.39646 | + | 13.5910i | −0.154370 | + | 0.875473i | 0.804990 | + | 0.593288i | \(0.202170\pi\) |
−0.959360 | + | 0.282185i | \(0.908941\pi\) | |||||||
\(242\) | −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 | 0.536512 | − | 0.843893i | \(-0.319742\pi\) |
−0.737908 | + | 0.674901i | \(0.764186\pi\) | |||||||
\(252\) | −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 | \(-0.604486\pi\) |
0.361502 | + | 0.932371i | \(0.382264\pi\) | |||||||
\(258\) | −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 | 0.983009 | + | 0.183556i | \(0.0587609\pi\) |
−0.860947 | + | 0.508695i | \(0.830128\pi\) | |||||||
\(264\) | −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 | −0.896978 | − | 0.442076i | \(-0.854242\pi\) |
0.691684 | − | 0.722200i | \(-0.256869\pi\) | |||||||
\(270\) | 5.98680 | + | 5.02352i | 0.364345 | + | 0.305722i | ||||
\(271\) | −10.2606 | + | 8.60965i | −0.623286 | + | 0.522999i | −0.898835 | − | 0.438288i | \(-0.855585\pi\) |
0.275549 | + | 0.961287i | \(0.411141\pi\) | |||||||
\(272\) | −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 | −0.999250 | − | 0.0387161i | \(-0.987673\pi\) |
0.466096 | − | 0.884734i | \(-0.345660\pi\) | |||||||
\(278\) | −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 | \(-0.461330\pi\) |
−0.956506 | + | 0.291713i | \(0.905775\pi\) | |||||||
\(282\) | −4.91147 | − | 27.8544i | −0.292474 | − | 1.65870i | ||||
\(283\) | −7.22416 | − | 2.62938i | −0.429431 | − | 0.156300i | 0.118256 | − | 0.992983i | \(-0.462270\pi\) |
−0.547688 | + | 0.836683i | \(0.684492\pi\) | |||||||
\(284\) | −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 | \(-0.265924\pi\) |
−0.977660 | + | 0.210195i | \(0.932590\pi\) | |||||||
\(294\) | 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 | 0.986296 | + | 0.164988i | \(0.0527584\pi\) |
−0.870386 | + | 0.492371i | \(0.836130\pi\) | |||||||
\(308\) | 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 | −0.998551 | − | 0.0538151i | \(-0.982862\pi\) |
0.545881 | + | 0.837863i | \(0.316195\pi\) | |||||||
\(312\) | −10.9081 | − | 18.8933i | −0.617548 | − | 1.06962i | ||||
\(313\) | 25.0228 | − | 9.10754i | 1.41437 | − | 0.514788i | 0.481961 | − | 0.876193i | \(-0.339925\pi\) |
0.932409 | + | 0.361404i | \(0.117703\pi\) | |||||||
\(314\) | 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 | 0.406236 | + | 0.913768i | \(0.366841\pi\) |
−0.694264 | + | 0.719720i | \(0.744270\pi\) | |||||||
\(318\) | 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 | 0.942687 | + | 0.333677i | \(0.108290\pi\) |
−0.182371 | + | 0.983230i | \(0.558377\pi\) | |||||||
\(332\) | −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 | \(-0.883928\pi\) |
0.188975 | + | 0.981982i | \(0.439483\pi\) | |||||||
\(338\) | −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 | −0.754220 | − | 0.656622i | \(-0.771985\pi\) |
0.515677 | + | 0.856783i | \(0.327540\pi\) | |||||||
\(348\) | −0.635630 | + | 3.60483i | −0.0340733 | + | 0.193239i | ||||
\(349\) | −2.68614 | + | 4.65253i | −0.143786 | + | 0.249044i | −0.928919 | − | 0.370282i | \(-0.879261\pi\) |
0.785134 | + | 0.619326i | \(0.212594\pi\) | |||||||
\(350\) | 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 | 0.977466 | + | 0.211095i | \(0.0677029\pi\) |
−0.305919 | + | 0.952057i | \(0.598964\pi\) | |||||||
\(354\) | −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 | 0.170836 | − | 0.985300i | \(-0.445353\pi\) |
−0.502471 | + | 0.864594i | \(0.667575\pi\) | |||||||
\(360\) | −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 | −0.925648 | − | 0.378386i | \(-0.876479\pi\) |
0.999240 | − | 0.0389764i | \(-0.0124097\pi\) | |||||||
\(368\) | −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 | 0.0804968 | − | 0.996755i | \(-0.474349\pi\) |
0.822967 | − | 0.568090i | \(-0.192317\pi\) | |||||||
\(374\) | −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 | \(-0.513914\pi\) | ||||
−0.0436975 | + | 0.999045i | \(0.513914\pi\) | |||||||
\(380\) | 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 | \(-0.0794610\pi\) |
−0.995061 | + | 0.0992680i | \(0.968350\pi\) | |||||||
\(384\) | 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 | 0.317654 | − | 0.948207i | \(-0.397105\pi\) |
0.852832 | + | 0.522185i | \(0.174883\pi\) | |||||||
\(390\) | 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 | 0.956431 | − | 0.291959i | \(-0.0943071\pi\) |
0.545001 | + | 0.838436i | \(0.316529\pi\) | |||||||
\(398\) | −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 | \(-0.389576\pi\) |
−0.344048 | + | 0.938952i | \(0.611798\pi\) | |||||||
\(402\) | −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 | \(-0.446420\pi\) |
0.762041 | + | 0.647529i | \(0.224198\pi\) | |||||||
\(410\) | 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 | \(-0.0895137\pi\) |
−0.997699 | + | 0.0677984i | \(0.978403\pi\) | |||||||
\(422\) | −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 | −0.219751 | − | 0.975556i | \(-0.570524\pi\) |
0.540158 | − | 0.841564i | \(-0.318364\pi\) | |||||||
\(432\) | −18.1721 | + | 15.2482i | −0.874303 | + | 0.733628i | ||||
\(433\) | 13.8892 | + | 11.6544i | 0.667472 | + | 0.560075i | 0.912316 | − | 0.409487i | \(-0.134292\pi\) |
−0.244844 | + | 0.969562i | \(0.578737\pi\) | |||||||
\(434\) | 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 | \(-0.435318\pi\) |
−0.474967 | + | 0.880004i | \(0.657540\pi\) | |||||||
\(440\) | 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 | 0.570059 | + | 0.821604i | \(0.306920\pi\) |
−0.816685 | + | 0.577084i | \(0.804191\pi\) | |||||||
\(444\) | −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 | \(-0.918856\pi\) |
0.702226 | + | 0.711955i | \(0.252190\pi\) | |||||||
\(450\) | −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 | −0.317714 | + | 0.948187i | \(0.602915\pi\) |
−0.988952 | + | 0.148237i | \(0.952640\pi\) | |||||||
\(462\) | −0.520945 | + | 2.95442i | −0.0242365 | + | 0.137452i | ||||
\(463\) | 21.4932 | − | 37.2273i | 0.998873 | − | 1.73010i | 0.458340 | − | 0.888777i | \(-0.348444\pi\) |
0.540534 | − | 0.841322i | \(-0.318222\pi\) | |||||||
\(464\) | 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 | −0.993932 | − | 0.109998i | \(-0.964916\pi\) |
0.401705 | − | 0.915769i | \(-0.368418\pi\) | |||||||
\(468\) | −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 | 0.982579 | + | 0.185845i | \(0.0595023\pi\) |
0.353645 | + | 0.935380i | \(0.384942\pi\) | |||||||
\(480\) | 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 | \(-0.777048\pi\) |
0.940475 | + | 0.339864i | \(0.110381\pi\) | |||||||
\(488\) | −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 | −0.695169 | − | 0.718846i | \(-0.744671\pi\) |
0.407386 | − | 0.913256i | \(-0.366440\pi\) | |||||||
\(492\) | −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 | −0.554399 | − | 0.832251i | \(-0.687052\pi\) |
0.723337 | + | 0.690495i | \(0.242607\pi\) | |||||||
\(500\) | 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 | −0.922344 | − | 0.386369i | \(-0.873729\pi\) |
−0.458203 | + | 0.888847i | \(0.651507\pi\) | |||||||
\(504\) | 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 | 0.996284 | + | 0.0861240i | \(0.0274481\pi\) |
0.257819 | + | 0.966193i | \(0.416996\pi\) | |||||||
\(510\) | 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 | \(-0.101422\pi\) |
−0.746126 | + | 0.665804i | \(0.768088\pi\) | |||||||
\(522\) | −46.0813 | + | 16.7722i | −2.01692 | + | 0.734100i | ||||
\(523\) | −26.7015 | + | 9.71854i | −1.16757 | + | 0.424962i | −0.851797 | − | 0.523872i | \(-0.824487\pi\) |
−0.315776 | + | 0.948834i | \(0.602265\pi\) | |||||||
\(524\) | 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 | −0.626498 | − | 0.779423i | \(-0.715512\pi\) |
0.0210779 | + | 0.999778i | \(0.493290\pi\) | |||||||
\(542\) | 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 | \(-0.251295\pi\) |
−0.576905 | + | 0.816811i | \(0.695740\pi\) | |||||||
\(548\) | −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 | −0.896912 | − | 0.442209i | \(-0.854195\pi\) |
0.994066 | − | 0.108779i | \(-0.0346940\pi\) | |||||||
\(558\) | −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 | \(-0.760852\pi\) |
0.956543 | + | 0.291593i | \(0.0941852\pi\) | |||||||
\(564\) | 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 | \(-0.408883\pi\) | ||||
0.282358 | + | 0.959309i | \(0.408883\pi\) | |||||||
\(570\) | 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 | −0.735022 | − | 0.678044i | \(-0.762828\pi\) |
0.954714 | + | 0.297526i | \(0.0961613\pi\) | |||||||
\(578\) | 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 | 0.685624 | − | 0.727955i | \(-0.259529\pi\) |
0.0572981 | + | 0.998357i | \(0.481751\pi\) | |||||||
\(588\) | 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 | 0.495706 | − | 0.868490i | \(-0.334909\pi\) |
−0.769218 | + | 0.638987i | \(0.779354\pi\) | |||||||
\(594\) | −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 | \(-0.478331\pi\) |
0.693408 | + | 0.720545i | \(0.256109\pi\) | |||||||
\(600\) | −17.9119 | − | 31.0244i | −0.731252 | − | 1.26657i | ||||
\(601\) | −16.8807 | + | 29.2383i | −0.688579 | + | 1.19265i | 0.283718 | + | 0.958908i | \(0.408432\pi\) |
−0.972298 | + | 0.233747i | \(0.924901\pi\) | |||||||
\(602\) | 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 | \(-0.754068\pi\) | ||||
−0.716087 | + | 0.698011i | \(0.754068\pi\) | |||||||
\(608\) | 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 | −0.311010 | − | 0.950407i | \(-0.600667\pi\) |
0.881962 | + | 0.471321i | \(0.156223\pi\) | |||||||
\(614\) | 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 | 0.437053 | − | 0.899436i | \(-0.356022\pi\) |
0.912948 | + | 0.408076i | \(0.133800\pi\) | |||||||
\(618\) | −20.0856 | + | 7.31056i | −0.807961 | + | 0.294074i | ||||
\(619\) | −1.82976 | − | 3.16923i | −0.0735441 | − | 0.127382i | 0.826908 | − | 0.562337i | \(-0.190098\pi\) |
−0.900452 | + | 0.434955i | \(0.856764\pi\) | |||||||
\(620\) | 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 | 0.630603 | − | 0.776106i | \(-0.282808\pi\) |
−0.654812 | + | 0.755792i | \(0.727252\pi\) | |||||||
\(632\) | −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 | \(-0.919274\pi\) |
0.0789927 | + | 0.996875i | \(0.474830\pi\) | |||||||
\(642\) | −30.4145 | − | 25.5208i | −1.20036 | − | 1.00722i | ||||
\(643\) | 3.85740 | + | 21.8764i | 0.152121 | + | 0.862721i | 0.961371 | + | 0.275257i | \(0.0887628\pi\) |
−0.809250 | + | 0.587465i | \(0.800126\pi\) | |||||||
\(644\) | −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 | 0.471160 | + | 0.882048i | \(0.343835\pi\) |
−0.999456 | + | 0.0329874i | \(0.989498\pi\) | |||||||
\(654\) | −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 | 0.730354 | + | 0.683069i | \(0.239355\pi\) |
−0.919931 | + | 0.392079i | \(0.871756\pi\) | |||||||
\(660\) | 0.798133 | − | 0.669713i | 0.0310673 | − | 0.0260686i | ||||
\(661\) | −8.70826 | − | 7.30710i | −0.338712 | − | 0.284213i | 0.457526 | − | 0.889196i | \(-0.348736\pi\) |
−0.796239 | + | 0.604983i | \(0.793180\pi\) | |||||||
\(662\) | −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 | \(-0.270117\pi\) |
−0.980344 | + | 0.197296i | \(0.936784\pi\) | |||||||
\(674\) | 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 | \(-0.888971\pi\) |
0.765878 | + | 0.642986i | \(0.222305\pi\) | |||||||
\(678\) | 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 | \(-0.553424\pi\) | ||||
−0.167049 | + | 0.985949i | \(0.553424\pi\) | |||||||
\(684\) | 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 | 0.320099 | + | 0.947384i | \(0.396284\pi\) |
−0.980508 | + | 0.196478i | \(0.937050\pi\) | |||||||
\(692\) | 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 | −0.471055 | − | 0.882104i | \(-0.656126\pi\) |
−0.927854 | + | 0.372943i | \(0.878349\pi\) | |||||||
\(702\) | −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 | 0.491668 | + | 0.870783i | \(0.336387\pi\) |
−0.759842 | + | 0.650107i | \(0.774724\pi\) | |||||||
\(710\) | −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 | −0.740379 | − | 0.672189i | \(-0.765354\pi\) |
0.465827 | − | 0.884876i | \(-0.345757\pi\) | |||||||
\(720\) | 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 | 0.549288 | − | 0.835633i | \(-0.314899\pi\) |
0.918321 | − | 0.395837i | \(-0.129545\pi\) | |||||||
\(728\) | 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 | 0.996252 | − | 0.0864997i | \(-0.0275682\pi\) |
−0.573037 | + | 0.819530i | \(0.694235\pi\) | |||||||
\(734\) | −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 | −0.193432 | − | 0.981114i | \(-0.561962\pi\) |
−0.778825 | + | 0.627241i | \(0.784184\pi\) | |||||||
\(740\) | 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 | \(-0.353006\pi\) |
−0.234144 | + | 0.972202i | \(0.575229\pi\) | |||||||
\(744\) | −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 | \(-0.578293\pi\) |
0.436916 | + | 0.899502i | \(0.356071\pi\) | |||||||
\(752\) | −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 | 0.993435 | + | 0.114396i | \(0.0364932\pi\) |
−0.894398 | + | 0.447272i | \(0.852396\pi\) | |||||||
\(758\) | 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 | −0.694286 | − | 0.719699i | \(-0.744280\pi\) |
−0.0692404 | + | 0.997600i | \(0.522058\pi\) | |||||||
\(770\) | 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 | −0.783889 | − | 0.620900i | \(-0.786767\pi\) |
0.948976 | − | 0.315350i | \(-0.102122\pi\) | |||||||
\(774\) | 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 | \(-0.256101\pi\) |
−0.970709 | + | 0.240257i | \(0.922768\pi\) | |||||||
\(788\) | 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 | \(-0.702136\pi\) | ||||
−0.593200 | + | 0.805055i | \(0.702136\pi\) | |||||||
\(798\) | 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 | −0.959880 | − | 0.280412i | \(-0.909529\pi\) |
0.237096 | − | 0.971486i | \(-0.423804\pi\) | |||||||
\(810\) | −1.84864 | + | 3.20194i | −0.0649546 | + | 0.112505i | ||||
\(811\) | −2.89780 | + | 16.4343i | −0.101756 | + | 0.577085i | 0.890711 | + | 0.454570i | \(0.150207\pi\) |
−0.992467 | + | 0.122515i | \(0.960904\pi\) | |||||||
\(812\) | −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 | 0.118169 | − | 0.992994i | \(-0.462298\pi\) |
−0.957388 | + | 0.288805i | \(0.906742\pi\) | |||||||
\(822\) | 0.760115 | − | 0.637812i | 0.0265120 | − | 0.0222462i | ||||
\(823\) | 8.04442 | − | 45.6221i | 0.280411 | − | 1.59029i | −0.440822 | − | 0.897595i | \(-0.645313\pi\) |
0.721232 | − | 0.692693i | \(-0.243576\pi\) | |||||||
\(824\) | 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 | \(-0.360411\pi\) |
0.907235 | + | 0.420623i | \(0.138189\pi\) | |||||||
\(828\) | −1.31727 | − | 2.28157i | −0.0457782 | − | 0.0792901i | ||||
\(829\) | −17.7417 | + | 30.7295i | −0.616195 | + | 1.06728i | 0.373979 | + | 0.927437i | \(0.377993\pi\) |
−0.990174 | + | 0.139843i | \(0.955340\pi\) | |||||||
\(830\) | −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 | 0.854839 | + | 0.518893i | \(0.173656\pi\) |
−0.625815 | + | 0.779972i | \(0.715233\pi\) | |||||||
\(840\) | −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 | 0.719278 | − | 0.694722i | \(-0.244473\pi\) |
0.104441 | + | 0.994531i | \(0.466695\pi\) | |||||||
\(854\) | 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 | \(-0.506163\pi\) |
−0.657499 | + | 0.753455i | \(0.728386\pi\) | |||||||
\(858\) | 3.86097 | + | 21.8966i | 0.131811 | + | 0.747539i | ||||
\(859\) | −14.9893 | − | 12.5775i | −0.511429 | − | 0.429140i | 0.350203 | − | 0.936674i | \(-0.386113\pi\) |
−0.861632 | + | 0.507534i | \(0.830557\pi\) | |||||||
\(860\) | −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 | \(-0.139823\pi\) |
−0.820832 | + | 0.571170i | \(0.806490\pi\) | |||||||
\(864\) | −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 | \(-0.0621120\pi\) |
−0.988175 | + | 0.153328i | \(0.951001\pi\) | |||||||
\(878\) | 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 | 0.146609 | + | 0.989194i | \(0.453164\pi\) |
−0.929972 | + | 0.367630i | \(0.880169\pi\) | |||||||
\(882\) | 24.5194 | + | 42.4688i | 0.825610 | + | 1.43000i | ||||
\(883\) | −12.1454 | + | 4.42057i | −0.408726 | + | 0.148764i | −0.538197 | − | 0.842819i | \(-0.680894\pi\) |
0.129471 | + | 0.991583i | \(0.458672\pi\) | |||||||
\(884\) | −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 | −0.839163 | − | 0.543880i | \(-0.816955\pi\) |
0.974573 | − | 0.224069i | \(-0.0719342\pi\) | |||||||
\(888\) | 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 | \(-0.491064\pi\) |
0.989294 | + | 0.145937i | \(0.0466198\pi\) | |||||||
\(908\) | −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 | \(-0.399192\pi\) | ||||
0.311431 | + | 0.950269i | \(0.399192\pi\) | |||||||
\(912\) | 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 | 0.324436 | + | 0.945908i | \(0.394825\pi\) |
−0.981398 | + | 0.191984i | \(0.938508\pi\) | |||||||
\(920\) | −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 | −0.108731 | − | 0.994071i | \(-0.534679\pi\) |
−0.722269 | + | 0.691612i | \(0.756901\pi\) | |||||||
\(930\) | 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 | −0.976461 | − | 0.215692i | \(-0.930799\pi\) |
0.991345 | + | 0.131285i | \(0.0419103\pi\) | |||||||
\(938\) | 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 | \(-0.709536\pi\) |
0.0398455 | + | 0.999206i | \(0.487313\pi\) | |||||||
\(942\) | 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 | 0.999292 | − | 0.0376214i | \(-0.0119781\pi\) |
−0.951895 | + | 0.306425i | \(0.900867\pi\) | |||||||
\(948\) | 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 | −0.920005 | − | 0.391906i | \(-0.871816\pi\) |
0.730483 | − | 0.682931i | \(-0.239295\pi\) | |||||||
\(954\) | 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 | 0.158436 | − | 0.987369i | \(-0.449355\pi\) |
−0.513300 | + | 0.858209i | \(0.671577\pi\) | |||||||
\(968\) | 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 | \(-0.322995\pi\) |
−0.141578 | + | 0.989927i | \(0.545217\pi\) | |||||||
\(972\) | 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 | \(-0.0920120\pi\) |
−0.726121 | + | 0.687567i | \(0.758679\pi\) | |||||||
\(978\) | −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 | \(-0.521011\pi\) |
0.971209 | + | 0.238228i | \(0.0765665\pi\) | |||||||
\(984\) | 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 | \(-0.0729124\pi\) |
−0.992808 | + | 0.119717i | \(0.961801\pi\) | |||||||
\(992\) | 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 | −0.525057 | − | 0.851067i | \(-0.675956\pi\) |
0.144838 | + | 0.989455i | \(0.453734\pi\) | |||||||
\(998\) | −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 \(a_p\))