Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,2,Mod(4,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.e (of order \(29\), degree \(28\), 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: | \(1.41335211578\) |
Analytic rank: | \(0\) |
Dimension: | \(140\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{29})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{29}]$ |
Embedding invariants
Embedding label | 4.4 | ||
Character | \(\chi\) | \(=\) | 177.4 |
Dual form | 177.2.e.b.133.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{1}{29}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.81180 | + | 0.197046i | 1.28114 | + | 0.139332i | 0.723252 | − | 0.690584i | \(-0.242647\pi\) |
0.557887 | + | 0.829917i | \(0.311612\pi\) | |||||||
\(3\) | −0.647386 | + | 0.762162i | −0.373769 | + | 0.440034i | ||||
\(4\) | 1.29057 | + | 0.284075i | 0.645284 | + | 0.142038i | ||||
\(5\) | 1.77642 | + | 1.35040i | 0.794441 | + | 0.603918i | 0.921679 | − | 0.387954i | \(-0.126818\pi\) |
−0.127238 | + | 0.991872i | \(0.540611\pi\) | |||||||
\(6\) | −1.32312 | + | 1.25332i | −0.540161 | + | 0.511667i | ||||
\(7\) | −0.458287 | + | 1.15021i | −0.173216 | + | 0.434740i | −0.989796 | − | 0.142493i | \(-0.954488\pi\) |
0.816580 | + | 0.577233i | \(0.195868\pi\) | |||||||
\(8\) | −1.17189 | − | 0.394857i | −0.414327 | − | 0.139603i | ||||
\(9\) | −0.161782 | − | 0.986827i | −0.0539273 | − | 0.328942i | ||||
\(10\) | 2.95244 | + | 2.79670i | 0.933644 | + | 0.884395i | ||||
\(11\) | 2.52367 | − | 1.16757i | 0.760915 | − | 0.352037i | −0.000756688 | − | 1.00000i | \(-0.500241\pi\) |
0.761672 | + | 0.647963i | \(0.224379\pi\) | |||||||
\(12\) | −1.05201 | + | 0.799715i | −0.303688 | + | 0.230858i | ||||
\(13\) | 0.305352 | − | 1.86257i | 0.0846895 | − | 0.516583i | −0.910080 | − | 0.414434i | \(-0.863980\pi\) |
0.994769 | − | 0.102149i | \(-0.0325720\pi\) | |||||||
\(14\) | −1.05697 | + | 1.99366i | −0.282487 | + | 0.532828i | ||||
\(15\) | −2.17926 | + | 0.479691i | −0.562682 | + | 0.123856i | ||||
\(16\) | −4.44409 | − | 2.05605i | −1.11102 | − | 0.514014i | ||||
\(17\) | −2.22937 | − | 5.59530i | −0.540702 | − | 1.35706i | −0.904855 | − | 0.425720i | \(-0.860021\pi\) |
0.364153 | − | 0.931339i | \(-0.381359\pi\) | |||||||
\(18\) | −0.0986675 | − | 1.81982i | −0.0232562 | − | 0.428935i | ||||
\(19\) | 1.25255 | + | 1.84737i | 0.287354 | + | 0.423815i | 0.943780 | − | 0.330576i | \(-0.107243\pi\) |
−0.656426 | + | 0.754391i | \(0.727933\pi\) | |||||||
\(20\) | 1.90898 | + | 2.24742i | 0.426861 | + | 0.502539i | ||||
\(21\) | −0.579961 | − | 1.09392i | −0.126558 | − | 0.238713i | ||||
\(22\) | 4.80246 | − | 1.61814i | 1.02389 | − | 0.344988i | ||||
\(23\) | −0.254334 | + | 4.69092i | −0.0530323 | + | 0.978123i | 0.844051 | + | 0.536263i | \(0.180164\pi\) |
−0.897084 | + | 0.441861i | \(0.854318\pi\) | |||||||
\(24\) | 1.05961 | − | 0.637548i | 0.216292 | − | 0.130139i | ||||
\(25\) | −0.00554629 | − | 0.0199759i | −0.00110926 | − | 0.00399519i | ||||
\(26\) | 0.920249 | − | 3.31444i | 0.180476 | − | 0.650015i | ||||
\(27\) | 0.856857 | + | 0.515554i | 0.164902 | + | 0.0992184i | ||||
\(28\) | −0.918198 | + | 1.35424i | −0.173523 | + | 0.255927i | ||||
\(29\) | −7.85003 | + | 0.853742i | −1.45771 | + | 0.158536i | −0.802384 | − | 0.596808i | \(-0.796436\pi\) |
−0.655329 | + | 0.755344i | \(0.727470\pi\) | |||||||
\(30\) | −4.04291 | + | 0.439693i | −0.738131 | + | 0.0802766i | ||||
\(31\) | 2.07657 | − | 3.06271i | 0.372962 | − | 0.550078i | −0.594174 | − | 0.804337i | \(-0.702521\pi\) |
0.967136 | + | 0.254258i | \(0.0818313\pi\) | |||||||
\(32\) | −5.52746 | − | 3.32576i | −0.977126 | − | 0.587917i | ||||
\(33\) | −0.743909 | + | 2.67932i | −0.129498 | + | 0.466409i | ||||
\(34\) | −2.93666 | − | 10.5769i | −0.503632 | − | 1.81392i | ||||
\(35\) | −2.36736 | + | 1.42440i | −0.400158 | + | 0.240767i | ||||
\(36\) | 0.0715425 | − | 1.31952i | 0.0119238 | − | 0.219921i | ||||
\(37\) | −0.409526 | + | 0.137985i | −0.0673257 | + | 0.0226847i | −0.352763 | − | 0.935713i | \(-0.614758\pi\) |
0.285437 | + | 0.958397i | \(0.407861\pi\) | |||||||
\(38\) | 1.90535 | + | 3.59388i | 0.309089 | + | 0.583004i | ||||
\(39\) | 1.22190 | + | 1.43853i | 0.195660 | + | 0.230349i | ||||
\(40\) | −1.54856 | − | 2.28396i | −0.244849 | − | 0.361126i | ||||
\(41\) | −0.412380 | − | 7.60591i | −0.0644030 | − | 1.18784i | −0.834901 | − | 0.550401i | \(-0.814475\pi\) |
0.770498 | − | 0.637443i | \(-0.220008\pi\) | |||||||
\(42\) | −0.835223 | − | 2.09625i | −0.128878 | − | 0.323459i | ||||
\(43\) | 5.14145 | + | 2.37869i | 0.784063 | + | 0.362746i | 0.770728 | − | 0.637165i | \(-0.219893\pi\) |
0.0133358 | + | 0.999911i | \(0.495755\pi\) | |||||||
\(44\) | 3.58865 | − | 0.789921i | 0.541009 | − | 0.119085i | ||||
\(45\) | 1.04522 | − | 1.97149i | 0.155812 | − | 0.293893i | ||||
\(46\) | −1.38513 | + | 8.44891i | −0.204226 | + | 1.24572i | ||||
\(47\) | −3.88840 | + | 2.95588i | −0.567181 | + | 0.431160i | −0.849065 | − | 0.528289i | \(-0.822834\pi\) |
0.281884 | + | 0.959449i | \(0.409041\pi\) | |||||||
\(48\) | 4.44409 | − | 2.05605i | 0.641449 | − | 0.296766i | ||||
\(49\) | 3.96900 | + | 3.75964i | 0.567000 | + | 0.537091i | ||||
\(50\) | −0.00611263 | − | 0.0372854i | −0.000864456 | − | 0.00527295i | ||||
\(51\) | 5.70779 | + | 1.92318i | 0.799250 | + | 0.269299i | ||||
\(52\) | 0.923187 | − | 2.31702i | 0.128023 | − | 0.321314i | ||||
\(53\) | −5.08082 | + | 4.81281i | −0.697904 | + | 0.661090i | −0.952003 | − | 0.306088i | \(-0.900980\pi\) |
0.254099 | + | 0.967178i | \(0.418221\pi\) | |||||||
\(54\) | 1.45087 | + | 1.10292i | 0.197438 | + | 0.150089i | ||||
\(55\) | 6.05980 | + | 1.33386i | 0.817104 | + | 0.179858i | ||||
\(56\) | 0.991233 | − | 1.16697i | 0.132459 | − | 0.155943i | ||||
\(57\) | −2.21887 | − | 0.241317i | −0.293897 | − | 0.0319632i | ||||
\(58\) | −14.3909 | −1.88962 | ||||||||
\(59\) | 1.39669 | + | 7.55310i | 0.181833 | + | 0.983329i | ||||
\(60\) | −2.94875 | −0.380682 | ||||||||
\(61\) | 13.1718 | + | 1.43252i | 1.68647 | + | 0.183415i | 0.900504 | − | 0.434848i | \(-0.143198\pi\) |
0.785971 | + | 0.618263i | \(0.212163\pi\) | |||||||
\(62\) | 4.36583 | − | 5.13985i | 0.554460 | − | 0.652761i | ||||
\(63\) | 1.20920 | + | 0.266166i | 0.152345 | + | 0.0335338i | ||||
\(64\) | −1.56295 | − | 1.18813i | −0.195369 | − | 0.148516i | ||||
\(65\) | 3.05765 | − | 2.89636i | 0.379255 | − | 0.359249i | ||||
\(66\) | −1.87577 | + | 4.70782i | −0.230891 | + | 0.579492i | ||||
\(67\) | 4.13499 | + | 1.39324i | 0.505169 | + | 0.170211i | 0.560335 | − | 0.828266i | \(-0.310672\pi\) |
−0.0551662 | + | 0.998477i | \(0.517569\pi\) | |||||||
\(68\) | −1.28767 | − | 7.85442i | −0.156153 | − | 0.952489i | ||||
\(69\) | −3.41059 | − | 3.23068i | −0.410586 | − | 0.388928i | ||||
\(70\) | −4.56987 | + | 2.11425i | −0.546204 | + | 0.252701i | ||||
\(71\) | −7.27907 | + | 5.53341i | −0.863867 | + | 0.656694i | −0.940288 | − | 0.340381i | \(-0.889444\pi\) |
0.0764207 | + | 0.997076i | \(0.475651\pi\) | |||||||
\(72\) | −0.200064 | + | 1.22034i | −0.0235778 | + | 0.143818i | ||||
\(73\) | −1.95425 | + | 3.68611i | −0.228728 | + | 0.431427i | −0.971138 | − | 0.238519i | \(-0.923338\pi\) |
0.742410 | + | 0.669946i | \(0.233683\pi\) | |||||||
\(74\) | −0.769170 | + | 0.169307i | −0.0894143 | + | 0.0196816i | ||||
\(75\) | 0.0188155 | + | 0.00870497i | 0.00217263 | + | 0.00100516i | ||||
\(76\) | 1.09170 | + | 2.73997i | 0.125227 | + | 0.314296i | ||||
\(77\) | 0.186395 | + | 3.43785i | 0.0212416 | + | 0.391779i | ||||
\(78\) | 1.93038 | + | 2.84710i | 0.218573 | + | 0.322371i | ||||
\(79\) | −0.176195 | − | 0.207432i | −0.0198235 | − | 0.0233380i | 0.752161 | − | 0.658979i | \(-0.229012\pi\) |
−0.771984 | + | 0.635641i | \(0.780736\pi\) | |||||||
\(80\) | −5.11809 | − | 9.65373i | −0.572219 | − | 1.07932i | ||||
\(81\) | −0.947653 | + | 0.319302i | −0.105295 | + | 0.0354779i | ||||
\(82\) | 0.751558 | − | 13.8617i | 0.0829957 | − | 1.53077i | ||||
\(83\) | −10.1252 | + | 6.09212i | −1.11138 | + | 0.668697i | −0.948129 | − | 0.317887i | \(-0.897027\pi\) |
−0.163254 | + | 0.986584i | \(0.552199\pi\) | |||||||
\(84\) | −0.437722 | − | 1.57653i | −0.0477594 | − | 0.172014i | ||||
\(85\) | 3.59560 | − | 12.9502i | 0.389997 | − | 1.40464i | ||||
\(86\) | 8.84659 | + | 5.32282i | 0.953952 | + | 0.573974i | ||||
\(87\) | 4.43131 | − | 6.53569i | 0.475086 | − | 0.700700i | ||||
\(88\) | −3.41850 | + | 0.371784i | −0.364413 | + | 0.0396323i | ||||
\(89\) | 8.71468 | − | 0.947779i | 0.923755 | − | 0.100464i | 0.366136 | − | 0.930561i | \(-0.380681\pi\) |
0.557619 | + | 0.830097i | \(0.311715\pi\) | |||||||
\(90\) | 2.28221 | − | 3.36600i | 0.240566 | − | 0.354808i | ||||
\(91\) | 2.00241 | + | 1.20481i | 0.209910 | + | 0.126299i | ||||
\(92\) | −1.66081 | + | 5.98169i | −0.173151 | + | 0.623635i | ||||
\(93\) | 0.989938 | + | 3.56543i | 0.102652 | + | 0.369718i | ||||
\(94\) | −7.62746 | + | 4.58929i | −0.786713 | + | 0.473349i | ||||
\(95\) | −0.269636 | + | 4.97315i | −0.0276641 | + | 0.510234i | ||||
\(96\) | 6.11317 | − | 2.05977i | 0.623923 | − | 0.210224i | ||||
\(97\) | −3.74149 | − | 7.05720i | −0.379891 | − | 0.716550i | 0.617664 | − | 0.786442i | \(-0.288079\pi\) |
−0.997555 | + | 0.0698924i | \(0.977734\pi\) | |||||||
\(98\) | 6.45024 | + | 7.59381i | 0.651572 | + | 0.767090i | ||||
\(99\) | −1.56048 | − | 2.30153i | −0.156834 | − | 0.231313i | ||||
\(100\) | −0.00148319 | − | 0.0273559i | −0.000148319 | − | 0.00273559i | ||||
\(101\) | −4.56784 | − | 11.4644i | −0.454517 | − | 1.14075i | −0.960518 | − | 0.278219i | \(-0.910256\pi\) |
0.506000 | − | 0.862533i | \(-0.331124\pi\) | |||||||
\(102\) | 9.96245 | + | 4.60912i | 0.986429 | + | 0.456371i | ||||
\(103\) | −10.0022 | + | 2.20166i | −0.985549 | + | 0.216936i | −0.678373 | − | 0.734717i | \(-0.737315\pi\) |
−0.307175 | + | 0.951653i | \(0.599384\pi\) | |||||||
\(104\) | −1.09329 | + | 2.06216i | −0.107206 | + | 0.202211i | ||||
\(105\) | 0.446979 | − | 2.72645i | 0.0436207 | − | 0.266074i | ||||
\(106\) | −10.1538 | + | 7.71871i | −0.986223 | + | 0.749707i | ||||
\(107\) | 9.49653 | − | 4.39356i | 0.918064 | − | 0.424742i | 0.0968089 | − | 0.995303i | \(-0.469136\pi\) |
0.821255 | + | 0.570561i | \(0.193274\pi\) | |||||||
\(108\) | 0.959376 | + | 0.908769i | 0.0923160 | + | 0.0874463i | ||||
\(109\) | 2.71417 | + | 16.5557i | 0.259970 | + | 1.58575i | 0.717504 | + | 0.696555i | \(0.245285\pi\) |
−0.457534 | + | 0.889192i | \(0.651267\pi\) | |||||||
\(110\) | 10.7163 | + | 3.61076i | 1.02176 | + | 0.344272i | ||||
\(111\) | 0.159954 | − | 0.401455i | 0.0151822 | − | 0.0381044i | ||||
\(112\) | 4.40157 | − | 4.16939i | 0.415910 | − | 0.393970i | ||||
\(113\) | −5.41830 | − | 4.11888i | −0.509710 | − | 0.387472i | 0.318470 | − | 0.947933i | \(-0.396831\pi\) |
−0.828181 | + | 0.560461i | \(0.810624\pi\) | |||||||
\(114\) | −3.97261 | − | 0.874439i | −0.372069 | − | 0.0818987i | ||||
\(115\) | −6.78643 | + | 7.98960i | −0.632838 | + | 0.745034i | ||||
\(116\) | −10.3735 | − | 1.12819i | −0.963157 | − | 0.104750i | ||||
\(117\) | −1.88743 | −0.174493 | ||||||||
\(118\) | 1.04222 | + | 13.9599i | 0.0959438 | + | 1.28512i | ||||
\(119\) | 7.45749 | 0.683627 | ||||||||
\(120\) | 2.74327 | + | 0.298348i | 0.250425 | + | 0.0272353i | ||||
\(121\) | −2.11557 | + | 2.49064i | −0.192324 | + | 0.226422i | ||||
\(122\) | 23.5824 | + | 5.19089i | 2.13505 | + | 0.469961i | ||||
\(123\) | 6.06390 | + | 4.60966i | 0.546764 | + | 0.415639i | ||||
\(124\) | 3.54999 | − | 3.36273i | 0.318798 | − | 0.301982i | ||||
\(125\) | 4.14681 | − | 10.4077i | 0.370902 | − | 0.930893i | ||||
\(126\) | 2.13840 | + | 0.720509i | 0.190503 | + | 0.0641881i | ||||
\(127\) | −0.292920 | − | 1.78673i | −0.0259924 | − | 0.158547i | 0.970641 | − | 0.240533i | \(-0.0773221\pi\) |
−0.996634 | + | 0.0819857i | \(0.973874\pi\) | |||||||
\(128\) | 6.76893 | + | 6.41187i | 0.598295 | + | 0.566735i | ||||
\(129\) | −5.14145 | + | 2.37869i | −0.452679 | + | 0.209432i | ||||
\(130\) | 6.11058 | − | 4.64514i | 0.535933 | − | 0.407406i | ||||
\(131\) | 2.74113 | − | 16.7201i | 0.239493 | − | 1.46084i | −0.543812 | − | 0.839207i | \(-0.683020\pi\) |
0.783305 | − | 0.621637i | \(-0.213532\pi\) | |||||||
\(132\) | −1.72119 | + | 3.24651i | −0.149811 | + | 0.282573i | ||||
\(133\) | −2.69889 | + | 0.594071i | −0.234024 | + | 0.0515125i | ||||
\(134\) | 7.21726 | + | 3.33906i | 0.623476 | + | 0.288451i | ||||
\(135\) | 0.825936 | + | 2.07294i | 0.0710853 | + | 0.178411i | ||||
\(136\) | 0.403243 | + | 7.43738i | 0.0345778 | + | 0.637750i | ||||
\(137\) | 11.9782 | + | 17.6665i | 1.02337 | + | 1.50935i | 0.851584 | + | 0.524218i | \(0.175642\pi\) |
0.171782 | + | 0.985135i | \(0.445047\pi\) | |||||||
\(138\) | −5.54272 | − | 6.52540i | −0.471828 | − | 0.555479i | ||||
\(139\) | −6.31323 | − | 11.9080i | −0.535482 | − | 1.01003i | −0.992693 | − | 0.120667i | \(-0.961497\pi\) |
0.457211 | − | 0.889358i | \(-0.348848\pi\) | |||||||
\(140\) | −3.45988 | + | 1.16577i | −0.292413 | + | 0.0985255i | ||||
\(141\) | 0.264433 | − | 4.87719i | 0.0222693 | − | 0.410733i | ||||
\(142\) | −14.2786 | + | 8.59114i | −1.19823 | + | 0.720952i | ||||
\(143\) | −1.40408 | − | 5.05703i | −0.117415 | − | 0.422890i | ||||
\(144\) | −1.31000 | + | 4.71818i | −0.109166 | + | 0.393182i | ||||
\(145\) | −15.0979 | − | 9.08409i | −1.25381 | − | 0.754392i | ||||
\(146\) | −4.26706 | + | 6.29344i | −0.353144 | + | 0.520848i | ||||
\(147\) | −5.43493 | + | 0.591085i | −0.448266 | + | 0.0487518i | ||||
\(148\) | −0.567719 | + | 0.0617432i | −0.0466662 | + | 0.00507526i | ||||
\(149\) | 3.09970 | − | 4.57172i | 0.253937 | − | 0.374530i | −0.679258 | − | 0.733900i | \(-0.737698\pi\) |
0.933195 | + | 0.359370i | \(0.117008\pi\) | |||||||
\(150\) | 0.0323747 | + | 0.0194792i | 0.00264338 | + | 0.00159047i | ||||
\(151\) | −1.14457 | + | 4.12235i | −0.0931434 | + | 0.335472i | −0.995410 | − | 0.0957074i | \(-0.969489\pi\) |
0.902266 | + | 0.431180i | \(0.141902\pi\) | |||||||
\(152\) | −0.738404 | − | 2.65949i | −0.0598925 | − | 0.215713i | ||||
\(153\) | −5.16092 | + | 3.10522i | −0.417236 | + | 0.251042i | ||||
\(154\) | −0.339702 | + | 6.26543i | −0.0273740 | + | 0.504883i | ||||
\(155\) | 7.82475 | − | 2.63647i | 0.628499 | − | 0.211766i | ||||
\(156\) | 1.16829 | + | 2.20363i | 0.0935380 | + | 0.176431i | ||||
\(157\) | −12.9803 | − | 15.2816i | −1.03594 | − | 1.21960i | −0.975171 | − | 0.221452i | \(-0.928920\pi\) |
−0.0607693 | − | 0.998152i | \(-0.519355\pi\) | |||||||
\(158\) | −0.278357 | − | 0.410546i | −0.0221449 | − | 0.0326612i | ||||
\(159\) | −0.378887 | − | 6.98815i | −0.0300477 | − | 0.554196i | ||||
\(160\) | −5.32800 | − | 13.3723i | −0.421215 | − | 1.05717i | ||||
\(161\) | −5.27900 | − | 2.44232i | −0.416043 | − | 0.192482i | ||||
\(162\) | −1.77988 | + | 0.391781i | −0.139841 | + | 0.0307812i | ||||
\(163\) | 4.85206 | − | 9.15195i | 0.380042 | − | 0.716836i | −0.617524 | − | 0.786552i | \(-0.711864\pi\) |
0.997567 | + | 0.0697156i | \(0.0222092\pi\) | |||||||
\(164\) | 1.62845 | − | 9.93308i | 0.127160 | − | 0.775644i | ||||
\(165\) | −4.93965 | + | 3.75503i | −0.384552 | + | 0.292328i | ||||
\(166\) | −19.5453 | + | 9.04260i | −1.51701 | + | 0.701842i | ||||
\(167\) | 2.75725 | + | 2.61180i | 0.213362 | + | 0.202107i | 0.786915 | − | 0.617061i | \(-0.211677\pi\) |
−0.573553 | + | 0.819168i | \(0.694435\pi\) | |||||||
\(168\) | 0.247709 | + | 1.51096i | 0.0191112 | + | 0.116573i | ||||
\(169\) | 8.94358 | + | 3.01344i | 0.687967 | + | 0.231803i | ||||
\(170\) | 9.06630 | − | 22.7547i | 0.695353 | − | 1.74520i | ||||
\(171\) | 1.62039 | − | 1.53492i | 0.123914 | − | 0.117378i | ||||
\(172\) | 5.95966 | + | 4.53041i | 0.454420 | + | 0.345441i | ||||
\(173\) | −7.59595 | − | 1.67200i | −0.577509 | − | 0.127119i | −0.0833954 | − | 0.996517i | \(-0.526576\pi\) |
−0.494114 | + | 0.869397i | \(0.664507\pi\) | |||||||
\(174\) | 9.31650 | − | 10.9682i | 0.706282 | − | 0.831499i | ||||
\(175\) | 0.0255184 | + | 0.00277529i | 0.00192901 | + | 0.000209792i | ||||
\(176\) | −13.6160 | −1.02635 | ||||||||
\(177\) | −6.66088 | − | 3.82527i | −0.500662 | − | 0.287525i | ||||
\(178\) | 15.9761 | 1.19746 | ||||||||
\(179\) | −19.0262 | − | 2.06923i | −1.42209 | − | 0.154661i | −0.635481 | − | 0.772117i | \(-0.719198\pi\) |
−0.786606 | + | 0.617456i | \(0.788164\pi\) | |||||||
\(180\) | 1.90898 | − | 2.24742i | 0.142287 | − | 0.167513i | ||||
\(181\) | 19.1676 | + | 4.21910i | 1.42471 | + | 0.313603i | 0.859413 | − | 0.511282i | \(-0.170829\pi\) |
0.565301 | + | 0.824885i | \(0.308760\pi\) | |||||||
\(182\) | 3.39058 | + | 2.57745i | 0.251326 | + | 0.191053i | ||||
\(183\) | −9.61905 | + | 9.11165i | −0.711060 | + | 0.673552i | ||||
\(184\) | 2.15029 | − | 5.39683i | 0.158522 | − | 0.397859i | ||||
\(185\) | −0.913828 | − | 0.307904i | −0.0671859 | − | 0.0226376i | ||||
\(186\) | 1.09102 | + | 6.65493i | 0.0799975 | + | 0.487963i | ||||
\(187\) | −12.1591 | − | 11.5177i | −0.889163 | − | 0.842260i | ||||
\(188\) | −5.85793 | + | 2.71017i | −0.427234 | + | 0.197659i | ||||
\(189\) | −0.985684 | + | 0.749297i | −0.0716980 | + | 0.0545034i | ||||
\(190\) | −1.46846 | + | 8.95724i | −0.106534 | + | 0.649826i | ||||
\(191\) | −3.55608 | + | 6.70748i | −0.257309 | + | 0.485336i | −0.978187 | − | 0.207726i | \(-0.933394\pi\) |
0.720878 | + | 0.693062i | \(0.243739\pi\) | |||||||
\(192\) | 1.91738 | − | 0.422047i | 0.138375 | − | 0.0304586i | ||||
\(193\) | −9.12092 | − | 4.21979i | −0.656538 | − | 0.303747i | 0.0631914 | − | 0.998001i | \(-0.479872\pi\) |
−0.719730 | + | 0.694255i | \(0.755734\pi\) | |||||||
\(194\) | −5.38826 | − | 13.5235i | −0.386854 | − | 0.970931i | ||||
\(195\) | 0.228015 | + | 4.20549i | 0.0163285 | + | 0.301161i | ||||
\(196\) | 4.05425 | + | 5.97956i | 0.289589 | + | 0.427112i | ||||
\(197\) | −13.0773 | − | 15.3958i | −0.931717 | − | 1.09690i | −0.995096 | − | 0.0989126i | \(-0.968464\pi\) |
0.0633791 | − | 0.997990i | \(-0.479812\pi\) | |||||||
\(198\) | −2.37377 | − | 4.47741i | −0.168697 | − | 0.318196i | ||||
\(199\) | −3.46191 | + | 1.16645i | −0.245409 | + | 0.0826878i | −0.439318 | − | 0.898332i | \(-0.644780\pi\) |
0.193909 | + | 0.981019i | \(0.437883\pi\) | |||||||
\(200\) | −0.00138797 | + | 0.0255997i | −9.81445e−5 | + | 0.00181017i | ||||
\(201\) | −3.73881 | + | 2.24957i | −0.263715 | + | 0.158672i | ||||
\(202\) | −6.01703 | − | 21.6714i | −0.423356 | − | 1.52479i | ||||
\(203\) | 2.61558 | − | 9.42047i | 0.183578 | − | 0.661187i | ||||
\(204\) | 6.81996 | + | 4.10343i | 0.477493 | + | 0.287298i | ||||
\(205\) | 9.53847 | − | 14.0682i | 0.666196 | − | 0.982565i | ||||
\(206\) | −18.5559 | + | 2.01808i | −1.29285 | + | 0.140606i | ||||
\(207\) | 4.67027 | − | 0.507922i | 0.324606 | − | 0.0353030i | ||||
\(208\) | −5.18655 | + | 7.64959i | −0.359623 | + | 0.530404i | ||||
\(209\) | 5.31795 | + | 3.19970i | 0.367850 | + | 0.221328i | ||||
\(210\) | 1.34707 | − | 4.85172i | 0.0929569 | − | 0.334800i | ||||
\(211\) | 1.67831 | + | 6.04472i | 0.115540 | + | 0.416136i | 0.998587 | − | 0.0531485i | \(-0.0169257\pi\) |
−0.883047 | + | 0.469285i | \(0.844512\pi\) | |||||||
\(212\) | −7.92434 | + | 4.76792i | −0.544246 | + | 0.327462i | ||||
\(213\) | 0.495019 | − | 9.13008i | 0.0339181 | − | 0.625583i | ||||
\(214\) | 18.0716 | − | 6.08902i | 1.23535 | − | 0.416237i | ||||
\(215\) | 5.92121 | + | 11.1686i | 0.403823 | + | 0.761691i | ||||
\(216\) | −0.800575 | − | 0.942510i | −0.0544722 | − | 0.0641297i | ||||
\(217\) | 2.57110 | + | 3.79210i | 0.174538 | + | 0.257424i | ||||
\(218\) | 1.65531 | + | 30.5305i | 0.112112 | + | 2.06778i | ||||
\(219\) | −1.54426 | − | 3.87580i | −0.104351 | − | 0.261902i | ||||
\(220\) | 7.44167 | + | 3.44288i | 0.501717 | + | 0.232119i | ||||
\(221\) | −11.1024 | + | 2.44382i | −0.746826 | + | 0.164389i | ||||
\(222\) | 0.368911 | − | 0.695840i | 0.0247597 | − | 0.0467017i | ||||
\(223\) | −4.59999 | + | 28.0587i | −0.308038 | + | 1.87895i | 0.147998 | + | 0.988988i | \(0.452717\pi\) |
−0.456036 | + | 0.889961i | \(0.650731\pi\) | |||||||
\(224\) | 6.35850 | − | 4.83361i | 0.424845 | − | 0.322959i | ||||
\(225\) | −0.0188155 | + | 0.00870497i | −0.00125437 | + | 0.000580332i | ||||
\(226\) | −9.00529 | − | 8.53026i | −0.599023 | − | 0.567424i | ||||
\(227\) | 1.99687 | + | 12.1804i | 0.132537 | + | 0.808438i | 0.966509 | + | 0.256632i | \(0.0826129\pi\) |
−0.833972 | + | 0.551806i | \(0.813939\pi\) | |||||||
\(228\) | −2.79505 | − | 0.941763i | −0.185107 | − | 0.0623698i | ||||
\(229\) | 9.72766 | − | 24.4146i | 0.642822 | − | 1.61336i | −0.139310 | − | 0.990249i | \(-0.544488\pi\) |
0.782132 | − | 0.623113i | \(-0.214132\pi\) | |||||||
\(230\) | −13.8700 | + | 13.1384i | −0.914560 | + | 0.866318i | ||||
\(231\) | −2.74086 | − | 2.08355i | −0.180336 | − | 0.137088i | ||||
\(232\) | 9.53650 | + | 2.09914i | 0.626102 | + | 0.137815i | ||||
\(233\) | −11.8602 | + | 13.9630i | −0.776990 | + | 0.914744i | −0.998169 | − | 0.0604897i | \(-0.980734\pi\) |
0.221179 | + | 0.975233i | \(0.429010\pi\) | |||||||
\(234\) | −3.41966 | − | 0.371910i | −0.223550 | − | 0.0243125i | ||||
\(235\) | −10.8991 | −0.710977 | ||||||||
\(236\) | −0.343132 | + | 10.1445i | −0.0223360 | + | 0.660354i | ||||
\(237\) | 0.272163 | 0.0176789 | ||||||||
\(238\) | 13.5115 | + | 1.46946i | 0.875821 | + | 0.0952513i | ||||
\(239\) | 16.9303 | − | 19.9319i | 1.09513 | − | 1.28929i | 0.140963 | − | 0.990015i | \(-0.454980\pi\) |
0.954168 | − | 0.299273i | \(-0.0967440\pi\) | |||||||
\(240\) | 10.6711 | + | 2.34888i | 0.688816 | + | 0.151620i | ||||
\(241\) | 21.2452 | + | 16.1502i | 1.36852 | + | 1.04033i | 0.993562 | + | 0.113286i | \(0.0361375\pi\) |
0.374963 | + | 0.927040i | \(0.377656\pi\) | |||||||
\(242\) | −4.32376 | + | 4.09568i | −0.277942 | + | 0.263281i | ||||
\(243\) | 0.370138 | − | 0.928977i | 0.0237444 | − | 0.0595939i | ||||
\(244\) | 16.5921 | + | 5.59054i | 1.06220 | + | 0.357898i | ||||
\(245\) | 1.97361 | + | 12.0385i | 0.126089 | + | 0.769109i | ||||
\(246\) | 10.0783 | + | 9.54667i | 0.642569 | + | 0.608673i | ||||
\(247\) | 3.82331 | − | 1.76885i | 0.243271 | − | 0.112549i | ||||
\(248\) | −3.64284 | + | 2.76922i | −0.231321 | + | 0.175846i | ||||
\(249\) | 1.91172 | − | 11.6610i | 0.121150 | − | 0.738985i | ||||
\(250\) | 9.56399 | − | 18.0396i | 0.604880 | − | 1.14092i | ||||
\(251\) | 8.09981 | − | 1.78290i | 0.511255 | − | 0.112536i | 0.0481519 | − | 0.998840i | \(-0.484667\pi\) |
0.463104 | + | 0.886304i | \(0.346736\pi\) | |||||||
\(252\) | 1.48495 | + | 0.687010i | 0.0935430 | + | 0.0432776i | ||||
\(253\) | 4.83514 | + | 12.1353i | 0.303982 | + | 0.762938i | ||||
\(254\) | −0.178646 | − | 3.29493i | −0.0112092 | − | 0.206742i | ||||
\(255\) | 7.54239 | + | 11.1242i | 0.472323 | + | 0.696624i | ||||
\(256\) | 13.5425 | + | 15.9435i | 0.846409 | + | 0.996470i | ||||
\(257\) | −4.32229 | − | 8.15271i | −0.269617 | − | 0.508552i | 0.711322 | − | 0.702866i | \(-0.248097\pi\) |
−0.980939 | + | 0.194314i | \(0.937752\pi\) | |||||||
\(258\) | −9.78401 | + | 3.29662i | −0.609126 | + | 0.205238i | ||||
\(259\) | 0.0289678 | − | 0.534280i | 0.00179997 | − | 0.0331985i | ||||
\(260\) | 4.76889 | − | 2.86934i | 0.295754 | − | 0.177949i | ||||
\(261\) | 2.11249 | + | 7.60849i | 0.130760 | + | 0.470954i | ||||
\(262\) | 8.26101 | − | 29.7535i | 0.510367 | − | 1.83818i | ||||
\(263\) | 18.4119 | + | 11.0781i | 1.13533 | + | 0.683105i | 0.953848 | − | 0.300290i | \(-0.0970834\pi\) |
0.181481 | + | 0.983395i | \(0.441911\pi\) | |||||||
\(264\) | 1.92973 | − | 2.84614i | 0.118767 | − | 0.175168i | ||||
\(265\) | −15.5249 | + | 1.68844i | −0.953688 | + | 0.103720i | ||||
\(266\) | −5.00693 | + | 0.544536i | −0.306994 | + | 0.0333876i | ||||
\(267\) | −4.91941 | + | 7.25558i | −0.301063 | + | 0.444034i | ||||
\(268\) | 4.94069 | + | 2.97272i | 0.301801 | + | 0.181588i | ||||
\(269\) | −1.03047 | + | 3.71140i | −0.0628286 | + | 0.226288i | −0.988298 | − | 0.152533i | \(-0.951257\pi\) |
0.925470 | + | 0.378822i | \(0.123671\pi\) | |||||||
\(270\) | 1.08797 | + | 3.91852i | 0.0662118 | + | 0.238473i | ||||
\(271\) | 8.68268 | − | 5.22420i | 0.527435 | − | 0.317347i | −0.226811 | − | 0.973939i | \(-0.572830\pi\) |
0.754246 | + | 0.656591i | \(0.228002\pi\) | |||||||
\(272\) | −1.59672 | + | 29.4497i | −0.0968152 | + | 1.78565i | ||||
\(273\) | −2.21460 | + | 0.746184i | −0.134033 | + | 0.0451611i | ||||
\(274\) | 18.2210 | + | 34.3685i | 1.10077 | + | 2.07628i | ||||
\(275\) | −0.0373204 | − | 0.0439370i | −0.00225050 | − | 0.00264950i | ||||
\(276\) | −3.48383 | − | 5.13827i | −0.209702 | − | 0.309288i | ||||
\(277\) | 0.588738 | + | 10.8586i | 0.0353739 | + | 0.652433i | 0.961430 | + | 0.275048i | \(0.0886937\pi\) |
−0.926057 | + | 0.377385i | \(0.876823\pi\) | |||||||
\(278\) | −9.09192 | − | 22.8190i | −0.545297 | − | 1.36859i | ||||
\(279\) | −3.35831 | − | 1.55372i | −0.201057 | − | 0.0930188i | ||||
\(280\) | 3.33673 | − | 0.734470i | 0.199408 | − | 0.0438930i | ||||
\(281\) | 8.07315 | − | 15.2276i | 0.481604 | − | 0.908401i | −0.517021 | − | 0.855973i | \(-0.672959\pi\) |
0.998625 | − | 0.0524284i | \(-0.0166961\pi\) | |||||||
\(282\) | 1.44013 | − | 8.78441i | 0.0857585 | − | 0.523104i | ||||
\(283\) | 21.8231 | − | 16.5895i | 1.29725 | − | 0.986141i | 0.297742 | − | 0.954646i | \(-0.403766\pi\) |
0.999504 | − | 0.0314947i | \(-0.0100267\pi\) | |||||||
\(284\) | −10.9660 | + | 5.07343i | −0.650715 | + | 0.301053i | ||||
\(285\) | −3.61579 | − | 3.42505i | −0.214181 | − | 0.202883i | ||||
\(286\) | −1.54745 | − | 9.43901i | −0.0915025 | − | 0.558140i | ||||
\(287\) | 8.93741 | + | 3.01136i | 0.527559 | + | 0.177755i | ||||
\(288\) | −2.38771 | + | 5.99269i | −0.140697 | + | 0.353123i | ||||
\(289\) | −13.9954 | + | 13.2571i | −0.823257 | + | 0.779830i | ||||
\(290\) | −25.5644 | − | 19.4336i | −1.50119 | − | 1.14118i | ||||
\(291\) | 7.80092 | + | 1.71711i | 0.457298 | + | 0.100659i | ||||
\(292\) | −3.56923 | + | 4.20202i | −0.208873 | + | 0.245905i | ||||
\(293\) | 4.40962 | + | 0.479575i | 0.257613 | + | 0.0280171i | 0.236014 | − | 0.971750i | \(-0.424159\pi\) |
0.0215987 | + | 0.999767i | \(0.493124\pi\) | |||||||
\(294\) | −9.96351 | −0.581083 | ||||||||
\(295\) | −7.71861 | + | 15.3036i | −0.449395 | + | 0.891009i | ||||
\(296\) | 0.534405 | 0.0310617 | ||||||||
\(297\) | 2.76437 | + | 0.300644i | 0.160405 | + | 0.0174451i | ||||
\(298\) | 6.51689 | − | 7.67228i | 0.377513 | − | 0.444443i | ||||
\(299\) | 8.65948 | + | 1.90610i | 0.500791 | + | 0.110232i | ||||
\(300\) | 0.0218098 | + | 0.0165794i | 0.00125919 | + | 0.000957211i | ||||
\(301\) | −5.09226 | + | 4.82364i | −0.293513 | + | 0.278030i | ||||
\(302\) | −2.88602 | + | 7.24336i | −0.166072 | + | 0.416809i | ||||
\(303\) | 11.6949 | + | 3.94047i | 0.671855 | + | 0.226374i | ||||
\(304\) | −1.76814 | − | 10.7852i | −0.101410 | − | 0.618572i | ||||
\(305\) | 21.4642 | + | 20.3320i | 1.22904 | + | 1.16421i | ||||
\(306\) | −9.96245 | + | 4.60912i | −0.569515 | + | 0.263486i | ||||
\(307\) | 5.20968 | − | 3.96030i | 0.297332 | − | 0.226026i | −0.445862 | − | 0.895102i | \(-0.647103\pi\) |
0.743194 | + | 0.669076i | \(0.233310\pi\) | |||||||
\(308\) | −0.736053 | + | 4.48972i | −0.0419405 | + | 0.255826i | ||||
\(309\) | 4.79729 | − | 9.04864i | 0.272908 | − | 0.514759i | ||||
\(310\) | 14.6964 | − | 3.23493i | 0.834701 | − | 0.183731i | ||||
\(311\) | −19.1440 | − | 8.85697i | −1.08556 | − | 0.502233i | −0.206256 | − | 0.978498i | \(-0.566128\pi\) |
−0.879302 | + | 0.476265i | \(0.841990\pi\) | |||||||
\(312\) | −0.863920 | − | 2.16828i | −0.0489098 | − | 0.122754i | ||||
\(313\) | −0.737510 | − | 13.6026i | −0.0416865 | − | 0.768862i | −0.942408 | − | 0.334465i | \(-0.891444\pi\) |
0.900722 | − | 0.434397i | \(-0.143038\pi\) | |||||||
\(314\) | −20.5066 | − | 30.2450i | −1.15725 | − | 1.70682i | ||||
\(315\) | 1.78863 | + | 2.10574i | 0.100778 | + | 0.118645i | ||||
\(316\) | −0.168465 | − | 0.317758i | −0.00947688 | − | 0.0178753i | ||||
\(317\) | −6.30217 | + | 2.12345i | −0.353965 | + | 0.119265i | −0.490666 | − | 0.871348i | \(-0.663247\pi\) |
0.136701 | + | 0.990612i | \(0.456350\pi\) | |||||||
\(318\) | 0.690516 | − | 12.7358i | 0.0387222 | − | 0.714189i | ||||
\(319\) | −18.8141 | + | 11.3201i | −1.05339 | + | 0.633801i | ||||
\(320\) | −1.17202 | − | 4.22124i | −0.0655179 | − | 0.235974i | ||||
\(321\) | −2.79932 | + | 10.0822i | −0.156243 | + | 0.562735i | ||||
\(322\) | −9.08326 | − | 5.46522i | −0.506191 | − | 0.304565i | ||||
\(323\) | 7.54418 | − | 11.1268i | 0.419770 | − | 0.619114i | ||||
\(324\) | −1.31372 | + | 0.142875i | −0.0729842 | + | 0.00793751i | ||||
\(325\) | −0.0389001 | + | 0.00423064i | −0.00215779 | + | 0.000234674i | ||||
\(326\) | 10.5943 | − | 15.6255i | 0.586766 | − | 0.865415i | ||||
\(327\) | −14.3752 | − | 8.64929i | −0.794952 | − | 0.478307i | ||||
\(328\) | −2.51998 | + | 9.07614i | −0.139143 | + | 0.501146i | ||||
\(329\) | −1.61790 | − | 5.82713i | −0.0891975 | − | 0.321260i | ||||
\(330\) | −9.68960 | + | 5.83004i | −0.533395 | + | 0.320933i | ||||
\(331\) | −0.537185 | + | 9.90780i | −0.0295264 | + | 0.544582i | 0.945928 | + | 0.324378i | \(0.105155\pi\) |
−0.975454 | + | 0.220204i | \(0.929328\pi\) | |||||||
\(332\) | −14.7978 | + | 4.98597i | −0.812137 | + | 0.273641i | ||||
\(333\) | 0.202422 | + | 0.381808i | 0.0110926 | + | 0.0209229i | ||||
\(334\) | 4.48095 | + | 5.27538i | 0.245187 | + | 0.288656i | ||||
\(335\) | 5.46406 | + | 8.05888i | 0.298533 | + | 0.440304i | ||||
\(336\) | 0.328234 | + | 6.05392i | 0.0179066 | + | 0.330268i | ||||
\(337\) | −4.20785 | − | 10.5609i | −0.229216 | − | 0.575289i | 0.768714 | − | 0.639592i | \(-0.220897\pi\) |
−0.997930 | + | 0.0643034i | \(0.979517\pi\) | |||||||
\(338\) | 15.6102 | + | 7.22206i | 0.849084 | + | 0.392828i | ||||
\(339\) | 6.64699 | − | 1.46311i | 0.361015 | − | 0.0794653i | ||||
\(340\) | 8.31919 | − | 15.6917i | 0.451171 | − | 0.850999i | ||||
\(341\) | 1.66463 | − | 10.1538i | 0.0901449 | − | 0.549860i | ||||
\(342\) | 3.23828 | − | 2.46168i | 0.175106 | − | 0.133112i | ||||
\(343\) | −14.0093 | + | 6.48141i | −0.756434 | + | 0.349963i | ||||
\(344\) | −5.08599 | − | 4.81770i | −0.274218 | − | 0.259753i | ||||
\(345\) | −1.69593 | − | 10.3447i | −0.0913058 | − | 0.556941i | ||||
\(346\) | −13.4329 | − | 4.52608i | −0.722158 | − | 0.243323i | ||||
\(347\) | −3.34715 | + | 8.40072i | −0.179685 | + | 0.450974i | −0.991038 | − | 0.133582i | \(-0.957352\pi\) |
0.811353 | + | 0.584556i | \(0.198731\pi\) | |||||||
\(348\) | 7.57553 | − | 7.17593i | 0.406091 | − | 0.384670i | ||||
\(349\) | 20.9894 | + | 15.9557i | 1.12354 | + | 0.854090i | 0.990567 | − | 0.137030i | \(-0.0437556\pi\) |
0.132970 | + | 0.991120i | \(0.457549\pi\) | |||||||
\(350\) | 0.0456875 | + | 0.0100566i | 0.00244210 | + | 0.000537547i | ||||
\(351\) | 1.22190 | − | 1.43853i | 0.0652200 | − | 0.0767830i | ||||
\(352\) | −17.8326 | − | 1.93941i | −0.950479 | − | 0.103371i | ||||
\(353\) | −22.7679 | −1.21182 | −0.605908 | − | 0.795535i | \(-0.707190\pi\) | ||||
−0.605908 | + | 0.795535i | \(0.707190\pi\) | |||||||
\(354\) | −11.3145 | − | 8.24314i | −0.601357 | − | 0.438118i | ||||
\(355\) | −20.4030 | −1.08288 | ||||||||
\(356\) | 11.5161 | + | 1.25245i | 0.610354 | + | 0.0663800i | ||||
\(357\) | −4.82787 | + | 5.68381i | −0.255518 | + | 0.300819i | ||||
\(358\) | −34.0641 | − | 7.49807i | −1.80034 | − | 0.396285i | ||||
\(359\) | 24.1403 | + | 18.3510i | 1.27408 | + | 0.968527i | 0.999977 | + | 0.00682598i | \(0.00217279\pi\) |
0.274099 | + | 0.961701i | \(0.411620\pi\) | |||||||
\(360\) | −2.00334 | + | 1.89767i | −0.105585 | + | 0.100016i | ||||
\(361\) | 5.18873 | − | 13.0227i | 0.273091 | − | 0.685407i | ||||
\(362\) | 33.8965 | + | 11.4211i | 1.78156 | + | 0.600278i | ||||
\(363\) | −0.528681 | − | 3.22481i | −0.0277485 | − | 0.169259i | ||||
\(364\) | 2.24199 | + | 2.12373i | 0.117512 | + | 0.111313i | ||||
\(365\) | −8.44931 | + | 3.90907i | −0.442257 | + | 0.204610i | ||||
\(366\) | −19.2232 | + | 14.6131i | −1.00481 | + | 0.763840i | ||||
\(367\) | −0.839281 | + | 5.11939i | −0.0438101 | + | 0.267230i | −0.999644 | − | 0.0266773i | \(-0.991507\pi\) |
0.955834 | + | 0.293907i | \(0.0949556\pi\) | |||||||
\(368\) | 10.7751 | − | 20.3239i | 0.561689 | − | 1.05946i | ||||
\(369\) | −7.43900 | + | 1.63745i | −0.387259 | + | 0.0852421i | ||||
\(370\) | −1.59501 | − | 0.737928i | −0.0829204 | − | 0.0383631i | ||||
\(371\) | −3.20728 | − | 8.04968i | −0.166514 | − | 0.417918i | ||||
\(372\) | 0.264730 | + | 4.88265i | 0.0137256 | + | 0.253154i | ||||
\(373\) | 2.75936 | + | 4.06975i | 0.142874 | + | 0.210723i | 0.892393 | − | 0.451260i | \(-0.149025\pi\) |
−0.749519 | + | 0.661983i | \(0.769715\pi\) | |||||||
\(374\) | −19.7604 | − | 23.2638i | −1.02179 | − | 1.20294i | ||||
\(375\) | 5.24777 | + | 9.89834i | 0.270993 | + | 0.511148i | ||||
\(376\) | 5.72394 | − | 1.92862i | 0.295190 | − | 0.0994609i | ||||
\(377\) | −0.806873 | + | 14.8819i | −0.0415561 | + | 0.766456i | ||||
\(378\) | −1.93351 | + | 1.16336i | −0.0994491 | + | 0.0598366i | ||||
\(379\) | −9.79618 | − | 35.2826i | −0.503196 | − | 1.81235i | −0.579131 | − | 0.815235i | \(-0.696608\pi\) |
0.0759351 | − | 0.997113i | \(-0.475806\pi\) | |||||||
\(380\) | −1.76073 | + | 6.34158i | −0.0903237 | + | 0.325316i | ||||
\(381\) | 1.55141 | + | 0.933454i | 0.0794812 | + | 0.0478223i | ||||
\(382\) | −7.76460 | + | 11.4519i | −0.397271 | + | 0.585932i | ||||
\(383\) | 22.4810 | − | 2.44496i | 1.14873 | − | 0.124931i | 0.486114 | − | 0.873895i | \(-0.338414\pi\) |
0.662611 | + | 0.748964i | \(0.269448\pi\) | |||||||
\(384\) | −9.26900 | + | 1.00806i | −0.473007 | + | 0.0514426i | ||||
\(385\) | −4.31136 | + | 6.35878i | −0.219727 | + | 0.324073i | ||||
\(386\) | −15.6938 | − | 9.44267i | −0.798795 | − | 0.480619i | ||||
\(387\) | 1.51556 | − | 5.45855i | 0.0770401 | − | 0.277473i | ||||
\(388\) | −2.82387 | − | 10.1707i | −0.143360 | − | 0.516337i | ||||
\(389\) | −16.3838 | + | 9.85782i | −0.830693 | + | 0.499811i | −0.866282 | − | 0.499555i | \(-0.833497\pi\) |
0.0355892 | + | 0.999367i | \(0.488669\pi\) | |||||||
\(390\) | −0.415554 | + | 7.66445i | −0.0210424 | + | 0.388105i | ||||
\(391\) | 26.8141 | − | 9.03472i | 1.35605 | − | 0.456905i | ||||
\(392\) | −3.16673 | − | 5.97308i | −0.159944 | − | 0.301686i | ||||
\(393\) | 10.9689 | + | 12.9136i | 0.553307 | + | 0.651403i | ||||
\(394\) | −20.6598 | − | 30.4709i | −1.04083 | − | 1.53510i | ||||
\(395\) | −0.0328792 | − | 0.606422i | −0.00165433 | − | 0.0305124i | ||||
\(396\) | −1.36009 | − | 3.41358i | −0.0683472 | − | 0.171539i | ||||
\(397\) | 35.0824 | + | 16.2308i | 1.76073 | + | 0.814602i | 0.982409 | + | 0.186741i | \(0.0597924\pi\) |
0.778325 | + | 0.627862i | \(0.216070\pi\) | |||||||
\(398\) | −6.50216 | + | 1.43123i | −0.325924 | + | 0.0717412i | ||||
\(399\) | 1.29445 | − | 2.44159i | 0.0648034 | − | 0.122232i | ||||
\(400\) | −0.0164234 | + | 0.100178i | −0.000821170 | + | 0.00500892i | ||||
\(401\) | 8.28414 | − | 6.29744i | 0.413690 | − | 0.314479i | −0.377545 | − | 0.925991i | \(-0.623232\pi\) |
0.791235 | + | 0.611512i | \(0.209438\pi\) | |||||||
\(402\) | −7.21726 | + | 3.33906i | −0.359964 | + | 0.166537i | ||||
\(403\) | −5.07041 | − | 4.80295i | −0.252575 | − | 0.239252i | ||||
\(404\) | −2.63835 | − | 16.0932i | −0.131263 | − | 0.800668i | ||||
\(405\) | −2.11462 | − | 0.712498i | −0.105076 | − | 0.0354043i | ||||
\(406\) | 6.59518 | − | 16.5527i | 0.327313 | − | 0.821495i | ||||
\(407\) | −0.872401 | + | 0.826382i | −0.0432433 | + | 0.0409622i | ||||
\(408\) | −5.92954 | − | 4.50752i | −0.293556 | − | 0.223155i | ||||
\(409\) | 7.97822 | + | 1.75614i | 0.394497 | + | 0.0868354i | 0.407789 | − | 0.913076i | \(-0.366300\pi\) |
−0.0132916 | + | 0.999912i | \(0.504231\pi\) | |||||||
\(410\) | 20.0539 | − | 23.6093i | 0.990393 | − | 1.16598i | ||||
\(411\) | −21.2193 | − | 2.30773i | −1.04667 | − | 0.113832i | ||||
\(412\) | −13.5340 | −0.666772 | ||||||||
\(413\) | −9.32776 | − | 1.85500i | −0.458989 | − | 0.0912786i | ||||
\(414\) | 8.56169 | 0.420784 | ||||||||
\(415\) | −26.2134 | − | 2.85088i | −1.28677 | − | 0.139944i | ||||
\(416\) | −7.88228 | + | 9.27974i | −0.386461 | + | 0.454976i | ||||
\(417\) | 13.1629 | + | 2.89738i | 0.644592 | + | 0.141885i | ||||
\(418\) | 9.00460 | + | 6.84512i | 0.440429 | + | 0.334806i | ||||
\(419\) | −7.99920 | + | 7.57725i | −0.390787 | + | 0.370173i | −0.857718 | − | 0.514121i | \(-0.828118\pi\) |
0.466931 | + | 0.884294i | \(0.345360\pi\) | |||||||
\(420\) | 1.35137 | − | 3.39169i | 0.0659403 | − | 0.165498i | ||||
\(421\) | −16.6824 | − | 5.62096i | −0.813051 | − | 0.273949i | −0.118096 | − | 0.993002i | \(-0.537679\pi\) |
−0.694955 | + | 0.719054i | \(0.744576\pi\) | |||||||
\(422\) | 1.84968 | + | 11.2826i | 0.0900411 | + | 0.549227i | ||||
\(423\) | 3.54602 | + | 3.35897i | 0.172413 | + | 0.163319i | ||||
\(424\) | 7.85454 | − | 3.63390i | 0.381450 | − | 0.176478i | ||||
\(425\) | −0.0994066 | + | 0.0755669i | −0.00482193 | + | 0.00366554i | ||||
\(426\) | 2.69592 | − | 16.4444i | 0.130618 | − | 0.796733i | ||||
\(427\) | −7.68417 | + | 14.4939i | −0.371863 | + | 0.701408i | ||||
\(428\) | 13.5040 | − | 2.97246i | 0.652741 | − | 0.143679i | ||||
\(429\) | 4.76325 | + | 2.20372i | 0.229972 | + | 0.106396i | ||||
\(430\) | 8.52735 | + | 21.4020i | 0.411225 | + | 1.03210i | ||||
\(431\) | 0.0395309 | + | 0.729104i | 0.00190413 | + | 0.0351197i | 0.999331 | − | 0.0365707i | \(-0.0116434\pi\) |
−0.997427 | + | 0.0716904i | \(0.977161\pi\) | |||||||
\(432\) | −2.74794 | − | 4.05291i | −0.132210 | − | 0.194996i | ||||
\(433\) | 4.66040 | + | 5.48665i | 0.223965 | + | 0.263672i | 0.862656 | − | 0.505792i | \(-0.168800\pi\) |
−0.638691 | + | 0.769463i | \(0.720524\pi\) | |||||||
\(434\) | 3.91112 | + | 7.37716i | 0.187740 | + | 0.354115i | ||||
\(435\) | 16.6977 | − | 5.62611i | 0.800593 | − | 0.269751i | ||||
\(436\) | −1.20025 | + | 22.1373i | −0.0574814 | + | 1.06018i | ||||
\(437\) | −8.98441 | + | 5.40574i | −0.429782 | + | 0.258592i | ||||
\(438\) | −2.03418 | − | 7.32647i | −0.0971971 | − | 0.350072i | ||||
\(439\) | 5.19988 | − | 18.7283i | 0.248177 | − | 0.893852i | −0.729543 | − | 0.683935i | \(-0.760267\pi\) |
0.977719 | − | 0.209917i | \(-0.0673192\pi\) | |||||||
\(440\) | −6.57476 | − | 3.95590i | −0.313439 | − | 0.188590i | ||||
\(441\) | 3.06800 | − | 4.52496i | 0.146095 | − | 0.215474i | ||||
\(442\) | −20.5969 | + | 2.24004i | −0.979693 | + | 0.106548i | ||||
\(443\) | 25.2701 | − | 2.74829i | 1.20062 | − | 0.130575i | 0.514127 | − | 0.857714i | \(-0.328116\pi\) |
0.686490 | + | 0.727139i | \(0.259150\pi\) | |||||||
\(444\) | 0.320475 | − | 0.472666i | 0.0152091 | − | 0.0224317i | ||||
\(445\) | 16.7609 | + | 10.0847i | 0.794541 | + | 0.478059i | ||||
\(446\) | −13.8631 | + | 49.9305i | −0.656438 | + | 2.36428i | ||||
\(447\) | 1.47769 | + | 5.32214i | 0.0698921 | + | 0.251729i | ||||
\(448\) | 2.08288 | − | 1.25323i | 0.0984070 | − | 0.0592095i | ||||
\(449\) | −0.845054 | + | 15.5861i | −0.0398806 | + | 0.735554i | 0.908397 | + | 0.418110i | \(0.137307\pi\) |
−0.948277 | + | 0.317444i | \(0.897176\pi\) | |||||||
\(450\) | −0.0358053 | + | 0.0120642i | −0.00168788 | + | 0.000568712i | ||||
\(451\) | −9.92118 | − | 18.7133i | −0.467170 | − | 0.881176i | ||||
\(452\) | −5.82260 | − | 6.85490i | −0.273872 | − | 0.322427i | ||||
\(453\) | −2.40092 | − | 3.54110i | −0.112805 | − | 0.166375i | ||||
\(454\) | 1.21785 | + | 22.4619i | 0.0571564 | + | 1.05419i | ||||
\(455\) | 1.93015 | + | 4.84432i | 0.0904869 | + | 0.227105i | ||||
\(456\) | 2.50500 | + | 1.15893i | 0.117307 | + | 0.0542721i | ||||
\(457\) | −6.36995 | + | 1.40213i | −0.297974 | + | 0.0655890i | −0.361441 | − | 0.932395i | \(-0.617715\pi\) |
0.0634673 | + | 0.997984i | \(0.479784\pi\) | |||||||
\(458\) | 22.4354 | − | 42.3177i | 1.04834 | − | 1.97738i | ||||
\(459\) | 0.974426 | − | 5.94373i | 0.0454823 | − | 0.277430i | ||||
\(460\) | −11.0280 | + | 8.38326i | −0.514183 | + | 0.390872i | ||||
\(461\) | 35.7627 | − | 16.5456i | 1.66563 | − | 0.770604i | 0.665936 | − | 0.746009i | \(-0.268032\pi\) |
0.999697 | − | 0.0245951i | \(-0.00782966\pi\) | |||||||
\(462\) | −4.55536 | − | 4.31506i | −0.211934 | − | 0.200755i | ||||
\(463\) | 1.73908 | + | 10.6079i | 0.0808218 | + | 0.492991i | 0.995956 | + | 0.0898421i | \(0.0286362\pi\) |
−0.915134 | + | 0.403149i | \(0.867915\pi\) | |||||||
\(464\) | 36.6416 | + | 12.3460i | 1.70104 | + | 0.573148i | ||||
\(465\) | −3.05622 | + | 7.67054i | −0.141729 | + | 0.355713i | ||||
\(466\) | −24.2398 | + | 22.9611i | −1.12289 | + | 1.06365i | ||||
\(467\) | 12.4259 | + | 9.44591i | 0.575001 | + | 0.437105i | 0.851833 | − | 0.523814i | \(-0.175491\pi\) |
−0.276831 | + | 0.960918i | \(0.589284\pi\) | |||||||
\(468\) | −2.43586 | − | 0.536173i | −0.112598 | − | 0.0247846i | ||||
\(469\) | −3.49753 | + | 4.11762i | −0.161501 | + | 0.190134i | ||||
\(470\) | −19.7470 | − | 2.14762i | −0.910861 | − | 0.0990621i | ||||
\(471\) | 20.0503 | 0.923870 | ||||||||
\(472\) | 1.34562 | − | 9.40291i | 0.0619374 | − | 0.432804i | ||||
\(473\) | 15.7526 | 0.724306 | ||||||||
\(474\) | 0.493107 | + | 0.0536286i | 0.0226491 | + | 0.00246324i | ||||
\(475\) | 0.0299559 | − | 0.0352668i | 0.00137447 | − | 0.00161815i | ||||
\(476\) | 9.62439 | + | 2.11849i | 0.441133 | + | 0.0971007i | ||||
\(477\) | 5.57139 | + | 4.23526i | 0.255096 | + | 0.193919i | ||||
\(478\) | 34.6019 | − | 32.7767i | 1.58265 | − | 1.49917i | ||||
\(479\) | 1.33877 | − | 3.36006i | 0.0611701 | − | 0.153525i | −0.895215 | − | 0.445635i | \(-0.852978\pi\) |
0.956385 | + | 0.292110i | \(0.0943572\pi\) | |||||||
\(480\) | 13.6411 | + | 4.59622i | 0.622628 | + | 0.209788i | ||||
\(481\) | 0.131957 | + | 0.804904i | 0.00601673 | + | 0.0367005i | ||||
\(482\) | 35.3099 | + | 33.4473i | 1.60832 | + | 1.52348i | ||||
\(483\) | 5.27900 | − | 2.44232i | 0.240203 | − | 0.111130i | ||||
\(484\) | −3.43781 | + | 2.61335i | −0.156264 | + | 0.118789i | ||||
\(485\) | 2.88358 | − | 17.5891i | 0.130937 | − | 0.798679i | ||||
\(486\) | 0.853669 | − | 1.61019i | 0.0387232 | − | 0.0730397i | ||||
\(487\) | −37.2473 | + | 8.19875i | −1.68784 | + | 0.371521i | −0.952109 | − | 0.305758i | \(-0.901090\pi\) |
−0.735726 | + | 0.677279i | \(0.763159\pi\) | |||||||
\(488\) | −14.8703 | − | 6.87973i | −0.673146 | − | 0.311431i | ||||
\(489\) | 3.83411 | + | 9.62290i | 0.173385 | + | 0.435163i | ||||
\(490\) | 1.20366 | + | 22.2002i | 0.0543759 | + | 1.00290i | ||||
\(491\) | −20.8979 | − | 30.8221i | −0.943108 | − | 1.39098i | −0.920289 | − | 0.391240i | \(-0.872046\pi\) |
−0.0228190 | − | 0.999740i | \(-0.507264\pi\) | |||||||
\(492\) | 6.51639 | + | 7.67168i | 0.293781 | + | 0.345866i | ||||
\(493\) | 22.2776 | + | 42.0199i | 1.00333 | + | 1.89248i | ||||
\(494\) | 7.27564 | − | 2.45145i | 0.327346 | − | 0.110296i | ||||
\(495\) | 0.335925 | − | 6.19577i | 0.0150987 | − | 0.278479i | ||||
\(496\) | −15.5255 | + | 9.34141i | −0.697117 | + | 0.419442i | ||||
\(497\) | −3.02870 | − | 10.9084i | −0.135856 | − | 0.489308i | ||||
\(498\) | 5.76141 | − | 20.7507i | 0.258175 | − | 0.929862i | ||||
\(499\) | −18.0090 | − | 10.8357i | −0.806195 | − | 0.485072i | 0.0518444 | − | 0.998655i | \(-0.483490\pi\) |
−0.858040 | + | 0.513584i | \(0.828318\pi\) | |||||||
\(500\) | 8.30830 | − | 12.2538i | 0.371559 | − | 0.548008i | ||||
\(501\) | −3.77562 | + | 0.410624i | −0.168682 | + | 0.0183453i | ||||
\(502\) | 15.0266 | − | 1.63424i | 0.670669 | − | 0.0729397i | ||||
\(503\) | −19.3275 | + | 28.5060i | −0.861773 | + | 1.27102i | 0.0993930 | + | 0.995048i | \(0.468310\pi\) |
−0.961166 | + | 0.275972i | \(0.911000\pi\) | |||||||
\(504\) | −1.31196 | − | 0.789381i | −0.0584394 | − | 0.0351618i | ||||
\(505\) | 7.36716 | − | 26.5341i | 0.327834 | − | 1.18075i | ||||
\(506\) | 6.36912 | + | 22.9395i | 0.283142 | + | 1.01978i | ||||
\(507\) | −8.08668 | + | 4.86559i | −0.359142 | + | 0.216089i | ||||
\(508\) | 0.129534 | − | 2.38911i | 0.00574713 | − | 0.106000i | ||||
\(509\) | 11.5598 | − | 3.89495i | 0.512379 | − | 0.172640i | −0.0512230 | − | 0.998687i | \(-0.516312\pi\) |
0.563602 | + | 0.826047i | \(0.309415\pi\) | |||||||
\(510\) | 11.4734 | + | 21.6411i | 0.508049 | + | 0.958282i | ||||
\(511\) | −3.34421 | − | 3.93711i | −0.147939 | − | 0.174167i | ||||
\(512\) | 10.9302 | + | 16.1209i | 0.483052 | + | 0.712449i | ||||
\(513\) | 0.120836 | + | 2.22868i | 0.00533503 | + | 0.0983988i | ||||
\(514\) | −6.22469 | − | 15.6228i | −0.274559 | − | 0.689092i | ||||
\(515\) | −20.7413 | − | 9.59596i | −0.913972 | − | 0.422848i | ||||
\(516\) | −7.31111 | + | 1.60930i | −0.321854 | + | 0.0708454i | ||||
\(517\) | −6.36182 | + | 11.9997i | −0.279793 | + | 0.527745i | ||||
\(518\) | 0.157761 | − | 0.962302i | 0.00693164 | − | 0.0422811i | ||||
\(519\) | 6.19185 | − | 4.70692i | 0.271792 | − | 0.206611i | ||||
\(520\) | −4.72689 | + | 2.18689i | −0.207288 | + | 0.0959015i | ||||
\(521\) | −7.71060 | − | 7.30387i | −0.337808 | − | 0.319988i | 0.499925 | − | 0.866069i | \(-0.333361\pi\) |
−0.837733 | + | 0.546080i | \(0.816119\pi\) | |||||||
\(522\) | 2.32819 | + | 14.2014i | 0.101902 | + | 0.621577i | ||||
\(523\) | −42.4617 | − | 14.3070i | −1.85672 | − | 0.625601i | −0.992462 | − | 0.122550i | \(-0.960893\pi\) |
−0.864256 | − | 0.503051i | \(-0.832211\pi\) | |||||||
\(524\) | 8.28738 | − | 20.7998i | 0.362036 | − | 0.908642i | ||||
\(525\) | −0.0186355 | + | 0.0176525i | −0.000813319 | + | 0.000770417i | ||||
\(526\) | 31.1759 | + | 23.6993i | 1.35934 | + | 1.03334i | ||||
\(527\) | −21.7662 | − | 4.79110i | −0.948151 | − | 0.208704i | ||||
\(528\) | 8.81482 | − | 10.3776i | 0.383616 | − | 0.451628i | ||||
\(529\) | 0.925173 | + | 0.100619i | 0.0402249 | + | 0.00437472i | ||||
\(530\) | −28.4608 | −1.23626 | ||||||||
\(531\) | 7.22764 | − | 2.60024i | 0.313653 | − | 0.112841i | ||||
\(532\) | −3.65186 | −0.158328 | ||||||||
\(533\) | −14.2924 | − | 1.55440i | −0.619074 | − | 0.0673284i | ||||
\(534\) | −10.3427 | + | 12.1763i | −0.447572 | + | 0.526922i | ||||
\(535\) | 22.8029 | + | 5.01930i | 0.985857 | + | 0.217003i | ||||
\(536\) | −4.29563 | − | 3.26545i | −0.185543 | − | 0.141046i | ||||
\(537\) | 13.8944 | − | 13.1615i | 0.599588 | − | 0.567960i | ||||
\(538\) | −2.59832 | + | 6.52129i | −0.112021 | + | 0.281153i | ||||
\(539\) | 14.4061 | + | 4.85399i | 0.620515 | + | 0.209076i | ||||
\(540\) | 0.477054 | + | 2.90990i | 0.0205291 | + | 0.125222i | ||||
\(541\) | −17.9733 | − | 17.0252i | −0.772733 | − | 0.731972i | 0.195858 | − | 0.980632i | \(-0.437251\pi\) |
−0.968591 | + | 0.248661i | \(0.920010\pi\) | |||||||
\(542\) | 16.7607 | − | 7.75434i | 0.719935 | − | 0.333077i | ||||
\(543\) | −15.6245 | + | 11.8774i | −0.670510 | + | 0.509708i | ||||
\(544\) | −6.28588 | + | 38.3422i | −0.269505 | + | 1.64391i | ||||
\(545\) | −17.5353 | + | 33.0751i | −0.751131 | + | 1.41678i | ||||
\(546\) | −4.15945 | + | 0.915563i | −0.178008 | + | 0.0391825i | ||||
\(547\) | −24.0581 | − | 11.1305i | −1.02865 | − | 0.475905i | −0.168370 | − | 0.985724i | \(-0.553850\pi\) |
−0.860282 | + | 0.509819i | \(0.829712\pi\) | |||||||
\(548\) | 10.4400 | + | 26.2025i | 0.445977 | + | 1.11932i | ||||
\(549\) | −0.717311 | − | 13.2300i | −0.0306141 | − | 0.564644i | ||||
\(550\) | −0.0589597 | − | 0.0869590i | −0.00251405 | − | 0.00370795i | ||||
\(551\) | −11.4097 | − | 13.4325i | −0.486069 | − | 0.572245i | ||||
\(552\) | 2.72119 | + | 5.13270i | 0.115821 | + | 0.218462i | ||||
\(553\) | 0.319340 | − | 0.107598i | 0.0135797 | − | 0.00457553i | ||||
\(554\) | −1.07297 | + | 19.7897i | −0.0455861 | + | 0.840786i | ||||
\(555\) | 0.826272 | − | 0.497152i | 0.0350733 | − | 0.0211029i | ||||
\(556\) | −4.76488 | − | 17.1615i | −0.202076 | − | 0.727812i | ||||
\(557\) | −11.0032 | + | 39.6300i | −0.466221 | + | 1.67918i | 0.239670 | + | 0.970854i | \(0.422961\pi\) |
−0.705891 | + | 0.708321i | \(0.749453\pi\) | |||||||
\(558\) | −5.77845 | − | 3.47678i | −0.244621 | − | 0.147184i | ||||
\(559\) | 6.00042 | − | 8.84995i | 0.253791 | − | 0.374313i | ||||
\(560\) | 13.4494 | − | 1.46271i | 0.568342 | − | 0.0618109i | ||||
\(561\) | 16.6500 | − | 1.81080i | 0.702965 | − | 0.0764521i | ||||
\(562\) | 17.6275 | − | 25.9986i | 0.743571 | − | 1.09669i | ||||
\(563\) | −32.4987 | − | 19.5538i | −1.36966 | − | 0.824095i | −0.374970 | − | 0.927037i | \(-0.622347\pi\) |
−0.994687 | + | 0.102942i | \(0.967174\pi\) | |||||||
\(564\) | 1.72676 | − | 6.21922i | 0.0727096 | − | 0.261876i | ||||
\(565\) | −4.06304 | − | 14.6338i | −0.170934 | − | 0.615647i | ||||
\(566\) | 42.8080 | − | 25.7567i | 1.79935 | − | 1.08264i | ||||
\(567\) | 0.0670322 | − | 1.23634i | 0.00281509 | − | 0.0519212i | ||||
\(568\) | 10.7152 | − | 3.61037i | 0.449600 | − | 0.151488i | ||||
\(569\) | −11.1103 | − | 20.9563i | −0.465769 | − | 0.878533i | −0.999460 | − | 0.0328537i | \(-0.989540\pi\) |
0.533691 | − | 0.845679i | \(-0.320804\pi\) | |||||||
\(570\) | −5.87620 | − | 6.91800i | −0.246127 | − | 0.289763i | ||||
\(571\) | −9.41484 | − | 13.8858i | −0.393999 | − | 0.581105i | 0.578016 | − | 0.816026i | \(-0.303827\pi\) |
−0.972014 | + | 0.234921i | \(0.924517\pi\) | |||||||
\(572\) | −0.375479 | − | 6.92530i | −0.0156996 | − | 0.289561i | ||||
\(573\) | −2.81003 | − | 7.05264i | −0.117391 | − | 0.294628i | ||||
\(574\) | 15.5995 | + | 7.21708i | 0.651109 | + | 0.301235i | ||||
\(575\) | 0.0951160 | − | 0.0209366i | 0.00396661 | − | 0.000873118i | ||||
\(576\) | −0.919618 | + | 1.73458i | −0.0383174 | + | 0.0722743i | ||||
\(577\) | 1.94536 | − | 11.8662i | 0.0809865 | − | 0.493996i | −0.914922 | − | 0.403630i | \(-0.867748\pi\) |
0.995909 | − | 0.0903655i | \(-0.0288035\pi\) | |||||||
\(578\) | −27.9691 | + | 21.2616i | −1.16336 | + | 0.884365i | ||||
\(579\) | 9.12092 | − | 4.21979i | 0.379053 | − | 0.175368i | ||||
\(580\) | −16.9043 | − | 16.0126i | −0.701911 | − | 0.664885i | ||||
\(581\) | −2.36700 | − | 14.4381i | −0.0981997 | − | 0.598992i | ||||
\(582\) | 13.7954 | + | 4.64821i | 0.571837 | + | 0.192674i | ||||
\(583\) | −7.20300 | + | 18.0782i | −0.298318 | + | 0.748721i | ||||
\(584\) | 3.74566 | − | 3.54808i | 0.154997 | − | 0.146821i | ||||
\(585\) | −3.35288 | − | 2.54879i | −0.138624 | − | 0.105380i | ||||
\(586\) | 7.89487 | + | 1.73779i | 0.326134 | + | 0.0717876i | ||||
\(587\) | −0.558534 | + | 0.657557i | −0.0230532 | + | 0.0271403i | −0.773568 | − | 0.633714i | \(-0.781530\pi\) |
0.750515 | + | 0.660854i | \(0.229806\pi\) | |||||||
\(588\) | −7.18206 | − | 0.781096i | −0.296183 | − | 0.0322119i | ||||
\(589\) | 8.25894 | 0.340304 | ||||||||
\(590\) | −17.0001 | + | 26.2062i | −0.699884 | + | 1.07889i | ||||
\(591\) | 20.2001 | 0.830921 | ||||||||
\(592\) | 2.10368 | + | 0.228789i | 0.0864606 | + | 0.00940315i | ||||
\(593\) | 11.6514 | − | 13.7170i | 0.478464 | − | 0.563291i | −0.468982 | − | 0.883208i | \(-0.655379\pi\) |
0.947446 | + | 0.319917i | \(0.103655\pi\) | |||||||
\(594\) | 4.94926 | + | 1.08941i | 0.203071 | + | 0.0446992i | ||||
\(595\) | 13.2477 | + | 10.0706i | 0.543101 | + | 0.412855i | ||||
\(596\) | 5.29909 | − | 5.01956i | 0.217059 | − | 0.205609i | ||||
\(597\) | 1.35217 | − | 3.39369i | 0.0553406 | − | 0.138894i | ||||
\(598\) | 15.3137 | + | 5.15979i | 0.626224 | + | 0.210999i | ||||
\(599\) | 0.883327 | + | 5.38805i | 0.0360917 | + | 0.220150i | 0.998714 | − | 0.0506974i | \(-0.0161444\pi\) |
−0.962622 | + | 0.270847i | \(0.912696\pi\) | |||||||
\(600\) | −0.0186125 | − | 0.0176307i | −0.000759853 | − | 0.000719771i | ||||
\(601\) | −34.6134 | + | 16.0139i | −1.41191 | + | 0.653219i | −0.969836 | − | 0.243760i | \(-0.921619\pi\) |
−0.442074 | + | 0.896979i | \(0.645757\pi\) | |||||||
\(602\) | −10.1767 | + | 7.73609i | −0.414770 | + | 0.315300i | ||||
\(603\) | 0.705919 | − | 4.30592i | 0.0287472 | − | 0.175350i | ||||
\(604\) | −2.64820 | + | 4.99503i | −0.107754 | + | 0.203245i | ||||
\(605\) | −7.12150 | + | 1.56756i | −0.289530 | + | 0.0637304i | ||||
\(606\) | 20.4124 | + | 9.44380i | 0.829198 | + | 0.383628i | ||||
\(607\) | 6.64487 | + | 16.6774i | 0.269707 | + | 0.676914i | 0.999981 | − | 0.00624126i | \(-0.00198667\pi\) |
−0.730273 | + | 0.683155i | \(0.760607\pi\) | |||||||
\(608\) | −0.779494 | − | 14.3769i | −0.0316126 | − | 0.583061i | ||||
\(609\) | 5.48663 | + | 8.09218i | 0.222330 | + | 0.327912i | ||||
\(610\) | 34.8826 | + | 41.0670i | 1.41236 | + | 1.66275i | ||||
\(611\) | 4.31820 | + | 8.14499i | 0.174696 | + | 0.329511i | ||||
\(612\) | −7.54263 | + | 2.54141i | −0.304893 | + | 0.102730i | ||||
\(613\) | 0.00639038 | − | 0.117864i | 0.000258105 | − | 0.00476046i | −0.998402 | − | 0.0565190i | \(-0.982000\pi\) |
0.998660 | + | 0.0517585i | \(0.0164826\pi\) | |||||||
\(614\) | 10.2193 | − | 6.14874i | 0.412417 | − | 0.248143i | ||||
\(615\) | 4.54717 | + | 16.3774i | 0.183360 | + | 0.660401i | ||||
\(616\) | 1.13902 | − | 4.10239i | 0.0458925 | − | 0.165290i | ||||
\(617\) | 7.16033 | + | 4.30823i | 0.288264 | + | 0.173443i | 0.652340 | − | 0.757927i | \(-0.273787\pi\) |
−0.364076 | + | 0.931369i | \(0.618615\pi\) | |||||||
\(618\) | 10.4747 | − | 15.4491i | 0.421356 | − | 0.621453i | ||||
\(619\) | −1.29152 | + | 0.140462i | −0.0519108 | + | 0.00564564i | −0.134038 | − | 0.990976i | \(-0.542794\pi\) |
0.0821268 | + | 0.996622i | \(0.473829\pi\) | |||||||
\(620\) | 10.8473 | − | 1.17972i | 0.435639 | − | 0.0473786i | ||||
\(621\) | −2.63635 | + | 3.88832i | −0.105793 | + | 0.156033i | ||||
\(622\) | −32.9400 | − | 19.8193i | −1.32077 | − | 0.794683i | ||||
\(623\) | −2.90368 | + | 10.4581i | −0.116333 | + | 0.418995i | ||||
\(624\) | −2.47253 | − | 8.90524i | −0.0989803 | − | 0.356495i | ||||
\(625\) | 21.3322 | − | 12.8352i | 0.853290 | − | 0.513407i | ||||
\(626\) | 1.34410 | − | 24.7905i | 0.0537211 | − | 0.990828i | ||||
\(627\) | −5.88146 | + | 1.98170i | −0.234883 | + | 0.0791413i | ||||
\(628\) | −12.4108 | − | 23.4093i | −0.495246 | − | 0.934133i | ||||
\(629\) | 1.68506 | + | 1.98380i | 0.0671876 | + | 0.0790993i | ||||
\(630\) | 2.82572 | + | 4.16762i | 0.112579 | + | 0.166042i | ||||
\(631\) | 1.41407 | + | 26.0809i | 0.0562931 | + | 1.03826i | 0.881124 | + | 0.472885i | \(0.156787\pi\) |
−0.824831 | + | 0.565379i | \(0.808730\pi\) | |||||||
\(632\) | 0.124575 | + | 0.312660i | 0.00495534 | + | 0.0124370i | ||||
\(633\) | −5.69357 | − | 2.63413i | −0.226299 | − | 0.104697i | ||||
\(634\) | −11.8367 | + | 2.60546i | −0.470096 | + | 0.103476i | ||||
\(635\) | 1.89246 | − | 3.56955i | 0.0750999 | − | 0.141653i | ||||
\(636\) | 1.49618 | − | 9.12631i | 0.0593275 | − | 0.361882i | ||||
\(637\) | 8.21452 | − | 6.24452i | 0.325471 | − | 0.247417i | ||||
\(638\) | −36.3180 | + | 16.8025i | −1.43784 | + | 0.665217i | ||||
\(639\) | 6.63813 | + | 6.28797i | 0.262601 | + | 0.248748i | ||||
\(640\) | 3.36588 | + | 20.5310i | 0.133048 | + | 0.811558i | ||||
\(641\) | 26.5608 | + | 8.94938i | 1.04909 | + | 0.353479i | 0.790470 | − | 0.612501i | \(-0.209836\pi\) |
0.258618 | + | 0.965980i | \(0.416733\pi\) | |||||||
\(642\) | −7.05847 | + | 17.7154i | −0.278576 | + | 0.699172i | ||||
\(643\) | 0.0688673 | − | 0.0652346i | 0.00271586 | − | 0.00257260i | −0.686340 | − | 0.727281i | \(-0.740784\pi\) |
0.689056 | + | 0.724708i | \(0.258025\pi\) | |||||||
\(644\) | −6.11910 | − | 4.65162i | −0.241126 | − | 0.183299i | ||||
\(645\) | −12.3456 | − | 2.71747i | −0.486107 | − | 0.107000i | ||||
\(646\) | 15.8611 | − | 18.6731i | 0.624046 | − | 0.734683i | ||||
\(647\) | −12.9965 | − | 1.41345i | −0.510945 | − | 0.0555686i | −0.150984 | − | 0.988536i | \(-0.548244\pi\) |
−0.359960 | + | 0.932968i | \(0.617210\pi\) | |||||||
\(648\) | 1.23663 | 0.0485793 | ||||||||
\(649\) | 12.3436 | + | 17.4308i | 0.484528 | + | 0.684218i | ||||
\(650\) | −0.0713130 | −0.00279713 | ||||||||
\(651\) | −4.55469 | − | 0.495352i | −0.178512 | − | 0.0194144i | ||||
\(652\) | 8.86175 | − | 10.4329i | 0.347053 | − | 0.408582i | ||||
\(653\) | 0.307829 | + | 0.0677584i | 0.0120463 | + | 0.00265159i | 0.220990 | − | 0.975276i | \(-0.429071\pi\) |
−0.208943 | + | 0.977928i | \(0.567002\pi\) | |||||||
\(654\) | −24.3408 | − | 18.5034i | −0.951800 | − | 0.723540i | ||||
\(655\) | 27.4483 | − | 26.0004i | 1.07249 | − | 1.01592i | ||||
\(656\) | −13.8055 | + | 34.6492i | −0.539015 | + | 1.35282i | ||||
\(657\) | 3.95372 | + | 1.33216i | 0.154249 | + | 0.0519726i | ||||
\(658\) | −1.78310 | − | 10.8764i | −0.0695125 | − | 0.424007i | ||||
\(659\) | −25.9035 | − | 24.5371i | −1.00906 | − | 0.955829i | −0.0100303 | − | 0.999950i | \(-0.503193\pi\) |
−0.999026 | + | 0.0441206i | \(0.985951\pi\) | |||||||
\(660\) | −7.44167 | + | 3.44288i | −0.289667 | + | 0.134014i | ||||
\(661\) | 32.0536 | − | 24.3665i | 1.24674 | − | 0.947748i | 0.246968 | − | 0.969024i | \(-0.420566\pi\) |
0.999774 | + | 0.0212755i | \(0.00677272\pi\) | |||||||
\(662\) | −2.92556 | + | 17.8451i | −0.113705 | + | 0.693571i | ||||
\(663\) | 5.32494 | − | 10.0439i | 0.206803 | − | 0.390072i | ||||
\(664\) | 14.2711 | − | 3.14132i | 0.553828 | − | 0.121907i | ||||
\(665\) | −5.59661 | − | 2.58927i | −0.217027 | − | 0.100408i | ||||
\(666\) | 0.291515 | + | 0.731647i | 0.0112960 | + | 0.0283507i | ||||
\(667\) | −2.00830 | − | 37.0409i | −0.0777618 | − | 1.43423i | ||||
\(668\) | 2.81646 | + | 4.15398i | 0.108972 | + | 0.160722i | ||||
\(669\) | −18.4073 | − | 21.6708i | −0.711667 | − | 0.837840i | ||||
\(670\) | 8.31183 | + | 15.6778i | 0.321114 | + | 0.605686i | ||||
\(671\) | 34.9138 | − | 11.7638i | 1.34783 | − | 0.454138i | ||||
\(672\) | −0.432415 | + | 7.97542i | −0.0166808 | + | 0.307659i | ||||
\(673\) | 19.5406 | − | 11.7572i | 0.753233 | − | 0.453205i | −0.0864678 | − | 0.996255i | \(-0.527558\pi\) |
0.839701 | + | 0.543049i | \(0.182730\pi\) | |||||||
\(674\) | −5.54282 | − | 19.9634i | −0.213501 | − | 0.768962i | ||||
\(675\) | 0.00554629 | − | 0.0199759i | 0.000213477 | − | 0.000768874i | ||||
\(676\) | 10.6862 | + | 6.42970i | 0.411009 | + | 0.247296i | ||||
\(677\) | −6.61829 | + | 9.76125i | −0.254362 | + | 0.375155i | −0.933334 | − | 0.359008i | \(-0.883115\pi\) |
0.678973 | + | 0.734163i | \(0.262425\pi\) | |||||||
\(678\) | 12.3313 | − | 1.34111i | 0.473582 | − | 0.0515052i | ||||
\(679\) | 9.83196 | − | 1.06929i | 0.377316 | − | 0.0410356i | ||||
\(680\) | −9.32712 | + | 13.7565i | −0.357679 | + | 0.527537i | ||||
\(681\) | −10.5761 | − | 6.36346i | −0.405279 | − | 0.243848i | ||||
\(682\) | 5.01675 | − | 18.0687i | 0.192101 | − | 0.691887i | ||||
\(683\) | −6.74938 | − | 24.3091i | −0.258258 | − | 0.930161i | −0.973006 | − | 0.230779i | \(-0.925872\pi\) |
0.714748 | − | 0.699382i | \(-0.246541\pi\) | |||||||
\(684\) | 2.52726 | − | 1.52060i | 0.0966320 | − | 0.0581416i | ||||
\(685\) | −2.57855 | + | 47.5586i | −0.0985215 | + | 1.81712i | ||||
\(686\) | −26.6593 | + | 8.98257i | −1.01786 | + | 0.342956i | ||||
\(687\) | 12.3103 | + | 23.2197i | 0.469668 | + | 0.885888i | ||||
\(688\) | −17.9583 | − | 21.1422i | −0.684655 | − | 0.806039i | ||||
\(689\) | 7.41273 | + | 10.9330i | 0.282403 | + | 0.416513i | ||||
\(690\) | −1.03431 | − | 19.0768i | −0.0393756 | − | 0.726241i | ||||
\(691\) | −0.650916 | − | 1.63368i | −0.0247620 | − | 0.0621480i | 0.916076 | − | 0.401005i | \(-0.131339\pi\) |
−0.940838 | + | 0.338857i | \(0.889960\pi\) | |||||||
\(692\) | −9.32811 | − | 4.31564i | −0.354602 | − | 0.164056i | ||||
\(693\) | 3.36240 | − | 0.740121i | 0.127727 | − | 0.0281149i | ||||
\(694\) | −7.71971 | + | 14.5609i | −0.293036 | + | 0.552725i | ||||
\(695\) | 4.86564 | − | 29.6791i | 0.184564 | − | 1.12579i | ||||
\(696\) | −7.77368 | + | 5.90940i | −0.294661 | + | 0.223995i | ||||
\(697\) | −41.6380 | + | 19.2638i | −1.57715 | + | 0.729668i | ||||
\(698\) | 34.8847 | + | 33.0445i | 1.32040 | + | 1.25075i | ||||
\(699\) | −2.96388 | − | 18.0789i | −0.112104 | − | 0.683805i | ||||
\(700\) | 0.0321448 | + | 0.0108309i | 0.00121496 | + | 0.000409368i | ||||
\(701\) | −3.86832 | + | 9.70875i | −0.146104 | + | 0.366695i | −0.983756 | − | 0.179510i | \(-0.942549\pi\) |
0.837652 | + | 0.546205i | \(0.183928\pi\) | |||||||
\(702\) | 2.49729 | − | 2.36556i | 0.0942543 | − | 0.0892824i | ||||
\(703\) | −0.767860 | − | 0.583712i | −0.0289604 | − | 0.0220151i | ||||
\(704\) | −5.33161 | − | 1.17358i | −0.200943 | − | 0.0442308i | ||||
\(705\) | 7.05591 | − | 8.30686i | 0.265741 | − | 0.312855i | ||||
\(706\) | −41.2511 | − | 4.48632i | −1.55250 | − | 0.168845i | ||||
\(707\) | 15.2799 | 0.574661 | ||||||||
\(708\) | −7.50965 | − | 6.82896i | −0.282230 | − | 0.256648i | ||||
\(709\) | −33.6144 | −1.26242 | −0.631208 | − | 0.775613i | \(-0.717441\pi\) | ||||
−0.631208 | + | 0.775613i | \(0.717441\pi\) | |||||||
\(710\) | −36.9663 | − | 4.02033i | −1.38732 | − | 0.150880i | ||||
\(711\) | −0.176195 | + | 0.207432i | −0.00660782 | + | 0.00777933i | ||||
\(712\) | −10.5869 | − | 2.33036i | −0.396761 | − | 0.0873338i | ||||
\(713\) | 13.8388 | + | 10.5199i | 0.518266 | + | 0.393975i | ||||
\(714\) | −9.86713 | + | 9.34665i | −0.369268 | + | 0.349789i | ||||
\(715\) | 4.33479 | − | 10.8795i | 0.162112 | − | 0.406870i | ||||
\(716\) | −23.9668 | − | 8.07536i | −0.895682 | − | 0.301790i | ||||
\(717\) | 4.23089 | + | 25.8073i | 0.158005 | + | 0.963791i | ||||
\(718\) | 40.1215 | + | 38.0051i | 1.49732 | + | 1.41834i | ||||
\(719\) | −35.3370 | + | 16.3486i | −1.31785 | + | 0.609702i | −0.947668 | − | 0.319258i | \(-0.896566\pi\) |
−0.370180 | + | 0.928960i | \(0.620704\pi\) | |||||||
\(720\) | −8.69855 | + | 6.61246i | −0.324176 | + | 0.246432i | ||||
\(721\) | 2.05152 | − | 12.5137i | 0.0764025 | − | 0.466034i | ||||
\(722\) | 11.9670 | − | 22.5722i | 0.445367 | − | 0.840052i | ||||
\(723\) | −26.0629 | + | 5.73689i | −0.969291 | + | 0.213357i | ||||
\(724\) | 23.5385 | + | 10.8901i | 0.874801 | + | 0.404726i | ||||
\(725\) | 0.0605928 | + | 0.152077i | 0.00225036 | + | 0.00564798i | ||||
\(726\) | −0.322431 | − | 5.94690i | −0.0119666 | − | 0.220710i | ||||
\(727\) | −10.2987 | − | 15.1894i | −0.381957 | − | 0.563344i | 0.587308 | − | 0.809363i | \(-0.300188\pi\) |
−0.969265 | + | 0.246019i | \(0.920877\pi\) | |||||||
\(728\) | −1.87088 | − | 2.20258i | −0.0693396 | − | 0.0816329i | ||||
\(729\) | 0.468408 | + | 0.883512i | 0.0173485 | + | 0.0327227i | ||||
\(730\) | −16.0788 | + | 5.41757i | −0.595102 | + | 0.200513i | ||||
\(731\) | 1.84727 | − | 34.0709i | 0.0683238 | − | 1.26016i | ||||
\(732\) | −15.0024 | + | 9.02666i | −0.554506 | + | 0.333635i | ||||
\(733\) | 6.99991 | + | 25.2114i | 0.258548 | + | 0.931205i | 0.972863 | + | 0.231381i | \(0.0743244\pi\) |
−0.714316 | + | 0.699824i | \(0.753262\pi\) | |||||||
\(734\) | −2.52937 | + | 9.10995i | −0.0933606 | + | 0.336254i | ||||
\(735\) | −10.4529 | − | 6.28933i | −0.385563 | − | 0.231985i | ||||
\(736\) | 17.0067 | − | 25.0830i | 0.626875 | − | 0.924572i | ||||
\(737\) | 12.0621 | − | 1.31183i | 0.444311 | − | 0.0483218i | ||||
\(738\) | −13.8007 | + | 1.50091i | −0.508009 | + | 0.0552493i | ||||
\(739\) | 10.1733 | − | 15.0046i | 0.374232 | − | 0.551952i | −0.593208 | − | 0.805049i | \(-0.702139\pi\) |
0.967441 | + | 0.253097i | \(0.0814493\pi\) | |||||||
\(740\) | −1.09189 | − | 0.656967i | −0.0401386 | − | 0.0241506i | ||||
\(741\) | −1.12701 | + | 4.05911i | −0.0414017 | + | 0.149115i | ||||
\(742\) | −4.22482 | − | 15.2164i | −0.155098 | − | 0.558612i | ||||
\(743\) | −7.17794 | + | 4.31882i | −0.263333 | + | 0.158442i | −0.641097 | − | 0.767460i | \(-0.721521\pi\) |
0.377764 | + | 0.925902i | \(0.376693\pi\) | |||||||
\(744\) | 0.247734 | − | 4.56919i | 0.00908238 | − | 0.167515i | ||||
\(745\) | 11.6800 | − | 3.93546i | 0.427924 | − | 0.144184i | ||||
\(746\) | 4.19749 | + | 7.91730i | 0.153681 | + | 0.289873i | ||||
\(747\) | 7.64993 | + | 9.00620i | 0.279896 | + | 0.329520i | ||||
\(748\) | −12.4203 | − | 18.3185i | −0.454130 | − | 0.669792i | ||||
\(749\) | 0.701399 | + | 12.9366i | 0.0256286 | + | 0.472691i | ||||
\(750\) | 7.55750 | + | 18.9679i | 0.275961 | + | 0.692610i | ||||
\(751\) | −39.4813 | − | 18.2660i | −1.44069 | − | 0.666536i | −0.464928 | − | 0.885349i | \(-0.653920\pi\) |
−0.975767 | + | 0.218812i | \(0.929782\pi\) | |||||||
\(752\) | 23.3579 | − | 5.14145i | 0.851773 | − | 0.187489i | ||||
\(753\) | −3.88484 | + | 7.32759i | −0.141572 | + | 0.267032i | ||||
\(754\) | −4.39431 | + | 26.8041i | −0.160031 | + | 0.976147i | ||||
\(755\) | −7.60007 | + | 5.77742i | −0.276595 | + | 0.210262i | ||||
\(756\) | −1.48495 | + | 0.687010i | −0.0540071 | + | 0.0249863i | ||||
\(757\) | 16.4318 | + | 15.5650i | 0.597223 | + | 0.565720i | 0.925446 | − | 0.378881i | \(-0.123691\pi\) |
−0.328222 | + | 0.944601i | \(0.606449\pi\) | |||||||
\(758\) | −10.7965 | − | 65.8555i | −0.392145 | − | 2.39198i | ||||
\(759\) | −12.3792 | − | 4.17105i | −0.449338 | − | 0.151400i | ||||
\(760\) | 2.27967 | − | 5.72153i | 0.0826922 | − | 0.207542i | ||||
\(761\) | −9.87780 | + | 9.35675i | −0.358070 | + | 0.339182i | −0.845495 | − | 0.533983i | \(-0.820695\pi\) |
0.487426 | + | 0.873165i | \(0.337936\pi\) | |||||||
\(762\) | 2.62692 | + | 1.99693i | 0.0951634 | + | 0.0723413i | ||||
\(763\) | −20.2864 | − | 4.46538i | −0.734419 | − | 0.161658i | ||||
\(764\) | −6.49479 | + | 7.64626i | −0.234973 | + | 0.276632i | ||||
\(765\) | −13.3613 | − | 1.45313i | −0.483078 | − | 0.0525379i | ||||
\(766\) | 41.2129 | 1.48908 | ||||||||
\(767\) | 14.4946 | − | 0.295065i | 0.523371 | − | 0.0106542i | ||||
\(768\) | −20.9188 | −0.754842 | ||||||||
\(769\) | −2.10286 | − | 0.228700i | −0.0758311 | − | 0.00824713i | 0.0701248 | − | 0.997538i | \(-0.477660\pi\) |
−0.145956 | + | 0.989291i | \(0.546626\pi\) | |||||||
\(770\) | −9.06431 | + | 10.6713i | −0.326655 | + | 0.384568i | ||||
\(771\) | 9.01188 | + | 1.98366i | 0.324555 | + | 0.0714399i | ||||
\(772\) | −10.5724 | − | 8.03695i | −0.380510 | − | 0.289256i | ||||
\(773\) | 12.7622 | − | 12.0890i | 0.459026 | − | 0.434813i | −0.422917 | − | 0.906168i | \(-0.638994\pi\) |
0.881943 | + | 0.471356i | \(0.156235\pi\) | |||||||
\(774\) | 3.82148 | − | 9.59118i | 0.137360 | − | 0.344748i | ||||
\(775\) | −0.0726977 | − | 0.0244947i | −0.00261138 | − | 0.000879876i | ||||
\(776\) | 1.59804 | + | 9.74763i | 0.0573664 | + | 0.349920i | ||||
\(777\) | 0.388454 | + | 0.367963i | 0.0139357 | + | 0.0132006i | ||||
\(778\) | −31.6267 | + | 14.6321i | −1.13387 | + | 0.524586i | ||||
\(779\) | 13.5344 | − | 10.2886i | 0.484919 | − | 0.368626i | ||||
\(780\) | −0.900407 | + | 5.49224i | −0.0322397 | + | 0.196654i | ||||
\(781\) | −11.9093 | + | 22.4633i | −0.426149 | + | 0.803802i | ||||
\(782\) | 50.3621 | − | 11.0855i | 1.80095 | − | 0.396418i | ||||
\(783\) | −7.16650 | − | 3.31558i | −0.256110 | − | 0.118489i | ||||
\(784\) | −9.90858 | − | 24.8687i | −0.353878 | − | 0.888167i | ||||
\(785\) | −2.42222 | − | 44.6752i | −0.0864527 | − | 1.59453i | ||||
\(786\) | 17.3289 | + | 25.5582i | 0.618101 | + | 0.911631i | ||||
\(787\) | 12.9345 | + | 15.2277i | 0.461065 | + | 0.542808i | 0.942734 | − | 0.333546i | \(-0.108245\pi\) |
−0.481669 | + | 0.876353i | \(0.659969\pi\) | |||||||
\(788\) | −12.5035 | − | 23.5842i | −0.445420 | − | 0.840152i | ||||
\(789\) | −20.3629 | + | 6.86107i | −0.724940 | + | 0.244261i | ||||
\(790\) | 0.0599220 | − | 1.10520i | 0.00213193 | − | 0.0393211i | ||||
\(791\) | 7.22073 | − | 4.34457i | 0.256740 | − | 0.154475i | ||||
\(792\) | 0.919937 | + | 3.31331i | 0.0326886 | + | 0.117734i | ||||
\(793\) | 6.69020 | − | 24.0959i | 0.237576 | − | 0.855671i | ||||
\(794\) | 60.3642 | + | 36.3199i | 2.14225 | + | 1.28895i | ||||
\(795\) | 8.76375 | − | 12.9256i | 0.310818 | − | 0.458423i | ||||
\(796\) | −4.79920 | + | 0.521944i | −0.170103 | + | 0.0184998i | ||||
\(797\) | −14.4969 | + | 1.57664i | −0.513508 | + | 0.0558473i | −0.361205 | − | 0.932487i | \(-0.617634\pi\) |
−0.152303 | + | 0.988334i | \(0.548669\pi\) | |||||||
\(798\) | 2.82639 | − | 4.16861i | 0.100053 | − | 0.147567i | ||||
\(799\) | 25.2077 | + | 15.1670i | 0.891786 | + | 0.536570i | ||||
\(800\) | −0.0357783 | + | 0.128862i | −0.00126495 | + | 0.00455595i | ||||
\(801\) | −2.34517 | − | 8.44655i | −0.0828626 | − | 0.298444i | ||||
\(802\) | 16.2501 | − | 9.77738i | 0.573812 | − | 0.345251i | ||||
\(803\) | −0.628081 | + | 11.5843i | −0.0221645 | + | 0.408800i | ||||
\(804\) | −5.46423 | + | 1.84111i | −0.192709 | + | 0.0649311i | ||||
\(805\) | −6.07962 | − | 11.4674i | −0.214278 | − | 0.404172i | ||||
\(806\) | −8.24019 | − | 9.70111i | −0.290248 | − | 0.341707i | ||||
\(807\) | −2.16158 | − | 3.18809i | −0.0760913 | − | 0.112226i | ||||
\(808\) | 0.826219 | + | 15.2387i | 0.0290663 | + | 0.536096i | ||||
\(809\) | 5.02849 | + | 12.6206i | 0.176792 | + | 0.443715i | 0.990492 | − | 0.137570i | \(-0.0439293\pi\) |
−0.813700 | + | 0.581285i | \(0.802550\pi\) | |||||||
\(810\) | −3.69088 | − | 1.70758i | −0.129684 | − | 0.0599984i | ||||
\(811\) | 35.5421 | − | 7.82342i | 1.24805 | − | 0.274717i | 0.458664 | − | 0.888610i | \(-0.348328\pi\) |
0.789390 | + | 0.613892i | \(0.210397\pi\) | |||||||
\(812\) | 6.05171 | − | 11.4147i | 0.212373 | − | 0.400578i | ||||
\(813\) | −1.63937 | + | 9.99968i | −0.0574950 | + | 0.350704i | ||||
\(814\) | −1.74345 | + | 1.32534i | −0.0611080 | + | 0.0464531i | ||||
\(815\) | 20.9781 | − | 9.70552i | 0.734832 | − | 0.339969i | ||||
\(816\) | −21.4118 | − | 20.2823i | −0.749562 | − | 0.710023i | ||||
\(817\) | 2.04559 | + | 12.4776i | 0.0715662 | + | 0.436534i | ||||
\(818\) | 14.1089 | + | 4.75385i | 0.493307 | + | 0.166215i | ||||
\(819\) | 0.864985 | − | 2.17095i | 0.0302250 | − | 0.0758591i | ||||
\(820\) | 16.3065 | − | 15.4463i | 0.569447 | − | 0.539409i | ||||
\(821\) | −8.98573 | − | 6.83077i | −0.313604 | − | 0.238396i | 0.436517 | − | 0.899696i | \(-0.356212\pi\) |
−0.750121 | + | 0.661300i | \(0.770005\pi\) | |||||||
\(822\) | −37.9904 | − | 8.36233i | −1.32507 | − | 0.291670i | ||||
\(823\) | 8.66579 | − | 10.2022i | 0.302070 | − | 0.355625i | −0.590095 | − | 0.807334i | \(-0.700910\pi\) |
0.892165 | + | 0.451709i | \(0.149186\pi\) | |||||||
\(824\) | 12.5909 | + | 1.36934i | 0.438624 | + | 0.0477032i | ||||
\(825\) | 0.0576478 | 0.00200704 | ||||||||
\(826\) | −16.5346 | − | 5.19889i | −0.575311 | − | 0.180893i | ||||
\(827\) | 34.1567 | 1.18774 | 0.593872 | − | 0.804559i | \(-0.297599\pi\) | ||||
0.593872 | + | 0.804559i | \(0.297599\pi\) | |||||||
\(828\) | 6.17158 | + | 0.671200i | 0.214477 | + | 0.0233258i | ||||
\(829\) | −11.1342 | + | 13.1082i | −0.386706 | + | 0.455266i | −0.920728 | − | 0.390205i | \(-0.872404\pi\) |
0.534022 | + | 0.845471i | \(0.320680\pi\) | |||||||
\(830\) | −46.9318 | − | 10.3305i | −1.62903 | − | 0.358576i | ||||
\(831\) | −8.65719 | − | 6.58102i | −0.300314 | − | 0.228293i | ||||
\(832\) | −2.69022 | + | 2.54831i | −0.0932665 | + | 0.0883467i | ||||
\(833\) | 12.1879 | − | 30.5894i | 0.422287 | − | 1.05986i | ||||
\(834\) | 23.2778 | + | 7.84319i | 0.806043 | + | 0.271588i | ||||
\(835\) | 1.37105 | + | 8.36306i | 0.0474473 | + | 0.289416i | ||||
\(836\) | 5.95422 | + | 5.64013i | 0.205931 | + | 0.195068i | ||||
\(837\) | 3.35831 | − | 1.55372i | 0.116080 | − | 0.0537044i | ||||
\(838\) | −15.9861 | + | 12.1523i | −0.552229 | + | 0.419794i | ||||
\(839\) | −5.55130 | + | 33.8614i | −0.191652 | + | 1.16903i | 0.699266 | + | 0.714861i | \(0.253510\pi\) |
−0.890918 | + | 0.454164i | \(0.849938\pi\) | |||||||
\(840\) | −1.60037 | + | 3.01861i | −0.0552179 | + | 0.104152i | ||||
\(841\) | 32.5720 | − | 7.16965i | 1.12317 | − | 0.247229i | ||||
\(842\) | −29.1177 | − | 13.4713i | −1.00346 | − | 0.464251i | ||||
\(843\) | 6.37944 | + | 16.0112i | 0.219719 | + | 0.551454i | ||||
\(844\) | 0.448814 | + | 8.27789i | 0.0154488 | + | 0.284937i | ||||
\(845\) | 11.8182 | + | 17.4306i | 0.406559 | + | 0.599630i | ||||
\(846\) | 5.76282 | + | 6.78452i | 0.198130 | + | 0.233256i | ||||
\(847\) | −1.89523 | − | 3.57478i | −0.0651208 | − | 0.122831i | ||||
\(848\) | 32.4750 | − | 10.9421i | 1.11520 | − | 0.375753i | ||||
\(849\) | −1.48409 | + | 27.3725i | −0.0509340 | + | 0.939422i | ||||
\(850\) | −0.194996 | + | 0.117325i | −0.00668829 | + | 0.00402421i | ||||
\(851\) | −0.543121 | − | 1.95615i | −0.0186180 | − | 0.0670558i | ||||
\(852\) | 3.23249 | − | 11.6424i | 0.110743 | − | 0.398861i | ||||
\(853\) | −15.3317 | − | 9.22475i | −0.524946 | − | 0.315850i | 0.228297 | − | 0.973591i | \(-0.426684\pi\) |
−0.753243 | + | 0.657742i | \(0.771512\pi\) | |||||||
\(854\) | −16.7782 | + | 24.7459i | −0.574137 | + | 0.846788i | ||||
\(855\) | 4.95126 | − | 0.538482i | 0.169329 | − | 0.0184157i | ||||
\(856\) | −12.8637 | + | 1.39902i | −0.439674 | + | 0.0478174i | ||||
\(857\) | −11.5112 | + | 16.9778i | −0.393215 | + | 0.579949i | −0.971839 | − | 0.235645i | \(-0.924280\pi\) |
0.578624 | + | 0.815595i | \(0.303590\pi\) | |||||||
\(858\) | 8.19585 | + | 4.93128i | 0.279802 | + | 0.168351i | ||||
\(859\) | −14.5587 | + | 52.4356i | −0.496735 | + | 1.78908i | 0.109721 | + | 0.993962i | \(0.465004\pi\) |
−0.606457 | + | 0.795117i | \(0.707410\pi\) | |||||||
\(860\) | 4.46900 | + | 16.0959i | 0.152392 | + | 0.548865i | ||||
\(861\) | −8.08111 | + | 4.86224i | −0.275403 | + | 0.165705i | ||||
\(862\) | −0.0720445 | + | 1.32878i | −0.00245385 | + | 0.0452585i | ||||
\(863\) | −21.8309 | + | 7.35570i | −0.743134 | + | 0.250391i | −0.665301 | − | 0.746575i | \(-0.731697\pi\) |
−0.0778333 | + | 0.996966i | \(0.524800\pi\) | |||||||
\(864\) | −3.02163 | − | 5.69941i | −0.102798 | − | 0.193898i | ||||
\(865\) | −11.2358 | − | 13.2278i | −0.382027 | − | 0.449757i | ||||
\(866\) | 7.36262 | + | 10.8590i | 0.250192 | + | 0.369005i | ||||
\(867\) | −1.04366 | − | 19.2492i | −0.0354446 | − | 0.653737i | ||||
\(868\) | 2.24094 | + | 5.62434i | 0.0760626 | + | 0.190903i | ||||
\(869\) | −0.686850 | − | 0.317771i | −0.0232998 | − | 0.0107796i | ||||
\(870\) | 31.3616 | − | 6.90320i | 1.06326 | − | 0.234041i | ||||
\(871\) | 3.85763 | − | 7.27626i | 0.130711 | − | 0.246547i | ||||
\(872\) | 3.35641 | − | 20.4732i | 0.113662 | − | 0.693310i | ||||
\(873\) | −6.35892 | + | 4.83393i | −0.215217 | + | 0.163604i | ||||
\(874\) | −17.3432 | + | 8.02380i | −0.586641 | + | 0.271409i | ||||
\(875\) | 10.0707 | + | 9.53943i | 0.340450 | + | 0.322492i | ||||
\(876\) | −0.891951 | − | 5.44066i | −0.0301362 | − | 0.183823i | ||||
\(877\) | −16.2374 | − | 5.47103i | −0.548299 | − | 0.184743i | 0.0314988 | − | 0.999504i | \(-0.489972\pi\) |
−0.579798 | + | 0.814760i | \(0.696869\pi\) | |||||||
\(878\) | 13.1115 | − | 32.9074i | 0.442491 | − | 1.11057i | ||||
\(879\) | −3.22024 | + | 3.05038i | −0.108616 | + | 0.102887i | ||||
\(880\) | −24.1878 | − | 18.3871i | −0.815371 | − | 0.619829i | ||||
\(881\) | 5.90420 | + | 1.29961i | 0.198918 | + | 0.0437851i | 0.313312 | − | 0.949650i | \(-0.398562\pi\) |
−0.114394 | + | 0.993435i | \(0.536493\pi\) | |||||||
\(882\) | 6.45024 | − | 7.59381i | 0.217191 | − | 0.255697i | ||||
\(883\) | 42.1810 | + | 4.58746i | 1.41950 | + | 0.154380i | 0.785457 | − | 0.618916i | \(-0.212428\pi\) |
0.634045 | + | 0.773296i | \(0.281393\pi\) | |||||||
\(884\) | −15.0226 | −0.505264 | ||||||||
\(885\) | −6.66689 | − | 15.7902i | −0.224105 | − | 0.530781i | ||||
\(886\) | 46.3260 | 1.55635 | ||||||||
\(887\) | 8.93396 | + | 0.971627i | 0.299973 | + | 0.0326240i | 0.256868 | − | 0.966447i | \(-0.417309\pi\) |
0.0431051 | + | 0.999071i | \(0.486275\pi\) | |||||||
\(888\) | −0.345967 | + | 0.407303i | −0.0116099 | + | 0.0136682i | ||||
\(889\) | 2.18937 | + | 0.481916i | 0.0734290 | + | 0.0161629i | ||||
\(890\) | 28.3803 | + | 21.5741i | 0.951308 | + | 0.723166i | ||||
\(891\) | −2.01876 | + | 1.91227i | −0.0676309 | + | 0.0640634i | ||||
\(892\) | −13.9074 | + | 34.9049i | −0.465654 | + | 1.16870i | ||||
\(893\) | −10.3310 | − | 3.48092i | −0.345714 | − | 0.116484i | ||||
\(894\) | 1.62857 | + | 9.93385i | 0.0544676 | + | 0.332238i | ||||
\(895\) | −31.0043 | − | 29.3689i | −1.03636 | − | 0.981693i | ||||
\(896\) | −10.4771 | + | 4.84724i | −0.350017 | + | 0.161935i | ||||
\(897\) | −7.05878 | + | 5.36595i | −0.235686 | + | 0.179164i | ||||
\(898\) | −4.60224 | + | 28.0725i | −0.153579 | + | 0.936790i | ||||
\(899\) | −13.6863 | + | 25.8152i | −0.456465 | + | 0.860985i | ||||
\(900\) | −0.0267555 | + | 0.00588934i | −0.000891851 | + | 0.000196311i | ||||
\(901\) | 38.2561 | + | 17.6992i | 1.27450 | + | 0.589645i | ||||
\(902\) | −14.2879 | − | 35.8598i | −0.475733 | − | 1.19400i | ||||
\(903\) | −0.379740 | − | 7.00389i | −0.0126369 | − | 0.233075i | ||||
\(904\) | 4.72330 | + | 6.96634i | 0.157094 | + | 0.231697i | ||||
\(905\) | 28.3522 | + | 33.3788i | 0.942460 | + | 1.10955i | ||||
\(906\) | −3.65225 | − | 6.88887i | −0.121338 | − | 0.228867i | ||||
\(907\) | 20.4158 | − | 6.87890i | 0.677897 | − | 0.228410i | 0.0407696 | − | 0.999169i | \(-0.487019\pi\) |
0.637127 | + | 0.770758i | \(0.280122\pi\) | |||||||
\(908\) | −0.883046 | + | 16.2868i | −0.0293049 | + | 0.540497i | ||||
\(909\) | −10.5744 | + | 6.36241i | −0.350731 | + | 0.211028i | ||||
\(910\) | 2.54251 | + | 9.15728i | 0.0842833 | + | 0.303561i | ||||
\(911\) | −14.9933 | + | 54.0009i | −0.496750 | + | 1.78913i | 0.109650 | + | 0.993970i | \(0.465027\pi\) |
−0.606400 | + | 0.795160i | \(0.707387\pi\) | |||||||
\(912\) | 9.36471 | + | 5.63456i | 0.310097 | + | 0.186579i | ||||
\(913\) | −18.4396 | + | 27.1964i | −0.610262 | + | 0.900069i | ||||
\(914\) | −11.8174 | + | 1.28522i | −0.390885 | + | 0.0425113i | ||||
\(915\) | −29.3919 | + | 3.19656i | −0.971666 | + | 0.105675i | ||||
\(916\) | 19.4898 | − | 28.7453i | 0.643961 | − | 0.949771i | ||||
\(917\) | 17.9755 | + | 10.8155i | 0.593603 | + | 0.357159i | ||||
\(918\) | 2.93666 | − | 10.5769i | 0.0969241 | − | 0.349089i | ||||
\(919\) | 9.18719 | + | 33.0893i | 0.303057 | + | 1.09151i | 0.945618 | + | 0.325279i | \(0.105458\pi\) |
−0.642561 | + | 0.766235i | \(0.722128\pi\) | |||||||
\(920\) | 11.1077 | − | 6.68329i | 0.366211 | − | 0.220342i | ||||
\(921\) | −0.354288 | + | 6.53446i | −0.0116742 | + | 0.215318i | ||||
\(922\) | 68.0552 | − | 22.9305i | 2.24128 | − | 0.755175i | ||||
\(923\) | 8.08366 | + | 15.2474i | 0.266077 | + | 0.501874i | ||||
\(924\) | −2.94539 | − | 3.46758i | −0.0968961 | − | 0.114075i | ||||
\(925\) | 0.00502774 | + | 0.00741536i | 0.000165311 | + | 0.000243815i | ||||
\(926\) | 1.06063 | + | 19.5621i | 0.0348544 | + | 0.642852i | ||||
\(927\) | 3.79083 | + | 9.51428i | 0.124507 | + | 0.312490i | ||||
\(928\) | 46.2301 | + | 21.3883i | 1.51758 | + | 0.702105i | ||||
\(929\) | −13.8052 | + | 3.03875i | −0.452933 | + | 0.0996980i | −0.435577 | − | 0.900151i | \(-0.643456\pi\) |
−0.0173555 | + | 0.999849i | \(0.505525\pi\) | |||||||
\(930\) | −7.04872 | + | 13.2953i | −0.231137 | + | 0.435970i | ||||
\(931\) | −1.97407 | + | 12.0413i | −0.0646977 | + | 0.394638i | ||||
\(932\) | −19.2730 | + | 14.6509i | −0.631307 | + | 0.479907i | ||||
\(933\) | 19.1440 | − | 8.85697i | 0.626747 | − | 0.289964i | ||||
\(934\) | 20.6520 | + | 19.5626i | 0.675754 | + | 0.640108i | ||||
\(935\) | −6.04619 | − | 36.8801i | −0.197731 | − | 1.20611i | ||||
\(936\) | 2.21187 | + | 0.745265i | 0.0722971 | + | 0.0243597i | ||||
\(937\) | 3.73132 | − | 9.36491i | 0.121897 | − | 0.305938i | −0.855347 | − | 0.518055i | \(-0.826656\pi\) |
0.977244 | + | 0.212117i | \(0.0680356\pi\) | |||||||
\(938\) | −7.14821 | + | 6.77114i | −0.233397 | + | 0.221086i | ||||
\(939\) | 10.8448 | + | 8.24401i | 0.353907 | + | 0.269033i | ||||
\(940\) | −14.0660 | − | 3.09616i | −0.458782 | − | 0.100986i | ||||
\(941\) | −3.79747 | + | 4.47073i | −0.123794 | + | 0.145742i | −0.820568 | − | 0.571550i | \(-0.806342\pi\) |
0.696773 | + | 0.717291i | \(0.254618\pi\) | |||||||
\(942\) | 36.3273 | + | 3.95083i | 1.18361 | + | 0.128725i | ||||
\(943\) | 35.7836 | 1.16527 | ||||||||
\(944\) | 9.32258 | − | 36.4383i | 0.303424 | − | 1.18597i | ||||
\(945\) | −2.76285 | −0.0898754 | ||||||||
\(946\) | 28.5407 | + | 3.10398i | 0.927937 | + | 0.100919i | ||||
\(947\) | 8.05458 | − | 9.48258i | 0.261739 | − | 0.308143i | −0.615558 | − | 0.788092i | \(-0.711069\pi\) |
0.877296 | + | 0.479949i | \(0.159345\pi\) | |||||||
\(948\) | 0.351245 | + | 0.0773149i | 0.0114079 | + | 0.00251107i | ||||
\(949\) | 6.26889 | + | 4.76549i | 0.203497 | + | 0.154694i | ||||
\(950\) | 0.0612234 | − | 0.0579939i | 0.00198635 | − | 0.00188157i | ||||
\(951\) | 2.46153 | − | 6.17796i | 0.0798205 | − | 0.200334i | ||||
\(952\) | −8.73938 | − | 2.94464i | −0.283245 | − | 0.0954363i | ||||
\(953\) | 1.03343 | + | 6.30363i | 0.0334760 | + | 0.204195i | 0.998269 | − | 0.0588165i | \(-0.0187327\pi\) |
−0.964793 | + | 0.263011i | \(0.915284\pi\) | |||||||
\(954\) | 9.25973 | + | 8.77128i | 0.299795 | + | 0.283981i | ||||
\(955\) | −15.3749 | + | 7.11318i | −0.497520 | + | 0.230177i | ||||
\(956\) | 27.5119 | − | 20.9140i | 0.889797 | − | 0.676406i | ||||
\(957\) | 3.55226 | − | 21.6678i | 0.114828 | − | 0.700421i | ||||
\(958\) | 3.08768 | − | 5.82398i | 0.0997584 | − | 0.188164i | ||||
\(959\) | −25.8097 | + | 5.68115i | −0.833440 | + | 0.183454i | ||||
\(960\) | 3.97601 | + | 1.83950i | 0.128325 | + | 0.0593696i | ||||
\(961\) | 6.40624 | + | 16.0784i | 0.206653 | + | 0.518660i | ||||
\(962\) | 0.0804780 | + | 1.48433i | 0.00259472 | + | 0.0478567i | ||||
\(963\) | −5.87205 | − | 8.66062i | −0.189224 | − | 0.279085i | ||||
\(964\) | 22.8305 | + | 26.8782i | 0.735321 | + | 0.865687i | ||||
\(965\) | −10.5042 | − | 19.8130i | −0.338143 | − | 0.637804i | ||||
\(966\) | 10.0458 | − | 3.38481i | 0.323217 | − | 0.108905i | ||||
\(967\) | 1.33704 | − | 24.6603i | 0.0429963 | − | 0.793021i | −0.894934 | − | 0.446198i | \(-0.852778\pi\) |
0.937931 | − | 0.346823i | \(-0.112739\pi\) | |||||||
\(968\) | 3.46266 | − | 2.08341i | 0.111294 | − | 0.0669635i | ||||
\(969\) | 3.59645 | + | 12.9533i | 0.115535 | + | 0.416118i | ||||
\(970\) | 8.69034 | − | 31.2998i | 0.279030 | − | 1.00498i | ||||
\(971\) | 3.85791 | + | 2.32123i | 0.123806 | + | 0.0744917i | 0.576110 | − | 0.817372i | \(-0.304570\pi\) |
−0.452304 | + | 0.891864i | \(0.649398\pi\) | |||||||
\(972\) | 0.741588 | − | 1.09376i | 0.0237864 | − | 0.0350824i | ||||
\(973\) | 16.5901 | − | 1.80428i | 0.531853 | − | 0.0578425i | ||||
\(974\) | −69.1003 | + | 7.51511i | −2.21412 | + | 0.240800i | ||||
\(975\) | 0.0219590 | − | 0.0323870i | 0.000703249 | − | 0.00103722i | ||||
\(976\) | −55.5913 | − | 33.4482i | −1.77943 | − | 1.07065i | ||||
\(977\) | −13.5764 | + | 48.8979i | −0.434348 | + | 1.56438i | 0.345504 | + | 0.938417i | \(0.387708\pi\) |
−0.779852 | + | 0.625964i | \(0.784706\pi\) | |||||||
\(978\) | 5.05052 | + | 18.1903i | 0.161498 | + | 0.581662i | ||||
\(979\) | 20.8864 | − | 12.5669i | 0.667532 | − | 0.401641i | ||||
\(980\) | −0.872760 | + | 16.0971i | −0.0278793 | + | 0.514203i | ||||
\(981\) | 15.8985 | − | 5.35682i | 0.507599 | − | 0.171030i | ||||
\(982\) | −31.7895 | − | 59.9614i | −1.01444 | − | 1.91344i | ||||
\(983\) | −6.98694 | − | 8.22566i | −0.222849 | − | 0.262358i | 0.639364 | − | 0.768904i | \(-0.279198\pi\) |
−0.862213 | + | 0.506546i | \(0.830922\pi\) | |||||||
\(984\) | −5.28609 | − | 7.79640i | −0.168514 | − | 0.248540i | ||||
\(985\) | −2.44032 | − | 45.0090i | −0.0777549 | − | 1.43410i | ||||
\(986\) | 32.0827 | + | 80.5216i | 1.02172 | + | 2.56433i | ||||
\(987\) | 5.48862 | + | 2.53931i | 0.174705 | + | 0.0808271i | ||||
\(988\) | 5.43673 | − | 1.19671i | 0.172965 | − | 0.0380726i | ||||
\(989\) | −12.4659 | + | 23.5131i | −0.396391 | + | 0.747674i | ||||
\(990\) | 1.82948 | − | 11.1593i | 0.0581447 | − | 0.354667i | ||||
\(991\) | 5.62885 | − | 4.27894i | 0.178806 | − | 0.135925i | −0.511943 | − | 0.859020i | \(-0.671074\pi\) |
0.690749 | + | 0.723094i | \(0.257281\pi\) | |||||||
\(992\) | −21.6640 | + | 10.0228i | −0.687832 | + | 0.318225i | ||||
\(993\) | −7.20358 | − | 6.82359i | −0.228599 | − | 0.216540i | ||||
\(994\) | −3.33796 | − | 20.3606i | −0.105874 | − | 0.645800i | ||||
\(995\) | −7.72501 | − | 2.60286i | −0.244899 | − | 0.0825162i | ||||
\(996\) | 5.77980 | − | 14.5062i | 0.183140 | − | 0.459647i | ||||
\(997\) | 28.1168 | − | 26.6337i | 0.890468 | − | 0.843497i | −0.0979590 | − | 0.995190i | \(-0.531231\pi\) |
0.988428 | + | 0.151694i | \(0.0484728\pi\) | |||||||
\(998\) | −30.4937 | − | 23.1807i | −0.965262 | − | 0.733773i | ||||
\(999\) | −0.422044 | − | 0.0928990i | −0.0133529 | − | 0.00293919i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 177.2.e.b.4.4 | ✓ | 140 | |
3.2 | odd | 2 | 531.2.i.b.181.2 | 140 | |||
59.15 | even | 29 | inner | 177.2.e.b.133.4 | yes | 140 | |
177.74 | odd | 58 | 531.2.i.b.487.2 | 140 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.2.e.b.4.4 | ✓ | 140 | 1.1 | even | 1 | trivial | |
177.2.e.b.133.4 | yes | 140 | 59.15 | even | 29 | inner | |
531.2.i.b.181.2 | 140 | 3.2 | odd | 2 | |||
531.2.i.b.487.2 | 140 | 177.74 | odd | 58 |