Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [27,4,Mod(4,27)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(27, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("27.4");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 27 = 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 27.e (of order \(9\), degree \(6\), 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: | \(1.59305157015\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 16.4 | ||
Character | \(\chi\) | \(=\) | 27.16 |
Dual form | 27.4.e.a.22.4 |
$q$-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 \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{2}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.883701 | − | 0.741513i | −0.312435 | − | 0.262164i | 0.473062 | − | 0.881029i | \(-0.343149\pi\) |
−0.785498 | + | 0.618864i | \(0.787593\pi\) | |||||||
\(3\) | −5.10626 | − | 0.962362i | −0.982700 | − | 0.185207i | ||||
\(4\) | −1.15810 | − | 6.56791i | −0.144762 | − | 0.820989i | ||||
\(5\) | −7.21673 | − | 2.62667i | −0.645484 | − | 0.234937i | −0.00152709 | − | 0.999999i | \(-0.500486\pi\) |
−0.643957 | + | 0.765062i | \(0.722708\pi\) | |||||||
\(6\) | 3.79880 | + | 4.63680i | 0.258476 | + | 0.315494i | ||||
\(7\) | 2.25256 | − | 12.7749i | 0.121627 | − | 0.689779i | −0.861628 | − | 0.507541i | \(-0.830555\pi\) |
0.983254 | − | 0.182238i | \(-0.0583342\pi\) | |||||||
\(8\) | −8.46114 | + | 14.6551i | −0.373933 | + | 0.647671i | ||||
\(9\) | 25.1477 | + | 9.82813i | 0.931397 | + | 0.364005i | ||||
\(10\) | 4.42972 | + | 7.67249i | 0.140080 | + | 0.242626i | ||||
\(11\) | −10.9793 | + | 3.99613i | −0.300943 | + | 0.109534i | −0.488078 | − | 0.872800i | \(-0.662302\pi\) |
0.187135 | + | 0.982334i | \(0.440080\pi\) | |||||||
\(12\) | −0.407152 | + | 34.6519i | −0.00979456 | + | 0.833596i | ||||
\(13\) | 54.8237 | − | 46.0025i | 1.16964 | − | 0.981447i | 0.169651 | − | 0.985504i | \(-0.445736\pi\) |
0.999992 | + | 0.00405757i | \(0.00129157\pi\) | |||||||
\(14\) | −11.4633 | + | 9.61888i | −0.218836 | + | 0.183625i | ||||
\(15\) | 34.3227 | + | 20.3576i | 0.590805 | + | 0.350420i | ||||
\(16\) | −31.7921 | + | 11.5714i | −0.496752 | + | 0.180803i | ||||
\(17\) | −18.1319 | − | 31.4053i | −0.258684 | − | 0.448054i | 0.707206 | − | 0.707008i | \(-0.249956\pi\) |
−0.965890 | + | 0.258954i | \(0.916622\pi\) | |||||||
\(18\) | −14.9354 | − | 27.3325i | −0.195572 | − | 0.357907i | ||||
\(19\) | −11.8561 | + | 20.5353i | −0.143156 | + | 0.247954i | −0.928684 | − | 0.370873i | \(-0.879058\pi\) |
0.785527 | + | 0.618827i | \(0.212392\pi\) | |||||||
\(20\) | −8.89407 | + | 50.4408i | −0.0994387 | + | 0.563945i | ||||
\(21\) | −23.7962 | + | 63.0641i | −0.247274 | + | 0.655320i | ||||
\(22\) | 12.6656 | + | 4.60990i | 0.122741 | + | 0.0446742i | ||||
\(23\) | −34.5875 | − | 196.155i | −0.313564 | − | 1.77831i | −0.580159 | − | 0.814504i | \(-0.697009\pi\) |
0.266594 | − | 0.963809i | \(-0.414102\pi\) | |||||||
\(24\) | 57.3083 | − | 66.6901i | 0.487417 | − | 0.567211i | ||||
\(25\) | −50.5738 | − | 42.4365i | −0.404590 | − | 0.339492i | ||||
\(26\) | −82.5592 | −0.622738 | ||||||||
\(27\) | −118.952 | − | 74.3862i | −0.847867 | − | 0.530208i | ||||
\(28\) | −86.5130 | −0.583908 | ||||||||
\(29\) | 218.552 | + | 183.387i | 1.39945 | + | 1.17428i | 0.961343 | + | 0.275353i | \(0.0887947\pi\) |
0.438105 | + | 0.898924i | \(0.355650\pi\) | |||||||
\(30\) | −15.2356 | − | 43.4407i | −0.0927206 | − | 0.264372i | ||||
\(31\) | 5.40959 | + | 30.6793i | 0.0313416 | + | 0.177747i | 0.996460 | − | 0.0840660i | \(-0.0267907\pi\) |
−0.965119 | + | 0.261813i | \(0.915680\pi\) | |||||||
\(32\) | 163.889 | + | 59.6507i | 0.905367 | + | 0.329527i | ||||
\(33\) | 59.9088 | − | 9.83923i | 0.316023 | − | 0.0519027i | ||||
\(34\) | −7.26431 | + | 41.1980i | −0.0366417 | + | 0.207806i | ||||
\(35\) | −49.8116 | + | 86.2762i | −0.240563 | + | 0.416667i | ||||
\(36\) | 35.4267 | − | 176.550i | 0.164013 | − | 0.817361i | ||||
\(37\) | 171.316 | + | 296.728i | 0.761195 | + | 1.31843i | 0.942235 | + | 0.334953i | \(0.108720\pi\) |
−0.181040 | + | 0.983476i | \(0.557946\pi\) | |||||||
\(38\) | 25.7044 | − | 9.35564i | 0.109732 | − | 0.0399391i | ||||
\(39\) | −324.215 | + | 182.141i | −1.33118 | + | 0.747842i | ||||
\(40\) | 99.5559 | − | 83.5374i | 0.393529 | − | 0.330210i | ||||
\(41\) | 188.628 | − | 158.278i | 0.718507 | − | 0.602899i | −0.208465 | − | 0.978030i | \(-0.566847\pi\) |
0.926972 | + | 0.375131i | \(0.122402\pi\) | |||||||
\(42\) | 67.7916 | − | 38.0846i | 0.249059 | − | 0.139919i | ||||
\(43\) | −143.766 | + | 52.3265i | −0.509862 | + | 0.185575i | −0.584124 | − | 0.811664i | \(-0.698562\pi\) |
0.0742623 | + | 0.997239i | \(0.476340\pi\) | |||||||
\(44\) | 38.9613 | + | 67.4830i | 0.133492 | + | 0.231215i | ||||
\(45\) | −155.669 | − | 136.982i | −0.515683 | − | 0.453779i | ||||
\(46\) | −114.887 | + | 198.990i | −0.368242 | + | 0.637813i | ||||
\(47\) | 49.8026 | − | 282.445i | 0.154563 | − | 0.876570i | −0.804621 | − | 0.593788i | \(-0.797632\pi\) |
0.959184 | − | 0.282782i | \(-0.0912573\pi\) | |||||||
\(48\) | 173.475 | − | 28.4910i | 0.521644 | − | 0.0856732i | ||||
\(49\) | 164.191 | + | 59.7606i | 0.478690 | + | 0.174229i | ||||
\(50\) | 13.2249 | + | 75.0023i | 0.0374057 | + | 0.212139i | ||||
\(51\) | 62.3628 | + | 177.813i | 0.171226 | + | 0.488212i | ||||
\(52\) | −365.632 | − | 306.802i | −0.975077 | − | 0.818187i | ||||
\(53\) | −321.986 | −0.834493 | −0.417247 | − | 0.908793i | \(-0.637005\pi\) | ||||
−0.417247 | + | 0.908793i | \(0.637005\pi\) | |||||||
\(54\) | 49.9601 | + | 153.940i | 0.125902 | + | 0.387937i | ||||
\(55\) | 89.7310 | 0.219988 | ||||||||
\(56\) | 168.158 | + | 141.102i | 0.401270 | + | 0.336705i | ||||
\(57\) | 80.3025 | − | 93.4487i | 0.186602 | − | 0.217151i | ||||
\(58\) | −57.1507 | − | 324.118i | −0.129384 | − | 0.733771i | ||||
\(59\) | −382.499 | − | 139.218i | −0.844018 | − | 0.307197i | −0.116419 | − | 0.993200i | \(-0.537142\pi\) |
−0.727599 | + | 0.686003i | \(0.759364\pi\) | |||||||
\(60\) | 93.9577 | − | 249.004i | 0.202165 | − | 0.535772i | ||||
\(61\) | 36.2242 | − | 205.438i | 0.0760334 | − | 0.431207i | −0.922900 | − | 0.385039i | \(-0.874188\pi\) |
0.998934 | − | 0.0461679i | \(-0.0147009\pi\) | |||||||
\(62\) | 17.9686 | − | 31.1226i | 0.0368068 | − | 0.0637512i | ||||
\(63\) | 182.200 | − | 299.121i | 0.364366 | − | 0.598186i | ||||
\(64\) | 34.7329 | + | 60.1591i | 0.0678377 | + | 0.117498i | ||||
\(65\) | −516.481 | + | 187.984i | −0.985563 | + | 0.358716i | ||||
\(66\) | −60.2373 | − | 35.7282i | −0.112344 | − | 0.0666339i | ||||
\(67\) | −152.054 | + | 127.588i | −0.277258 | + | 0.232647i | −0.770804 | − | 0.637073i | \(-0.780145\pi\) |
0.493546 | + | 0.869720i | \(0.335701\pi\) | |||||||
\(68\) | −185.269 | + | 155.459i | −0.330399 | + | 0.277238i | ||||
\(69\) | −12.1599 | + | 1034.90i | −0.0212156 | + | 1.80562i | ||||
\(70\) | 107.993 | − | 39.3064i | 0.184395 | − | 0.0671145i | ||||
\(71\) | −82.6900 | − | 143.223i | −0.138218 | − | 0.239401i | 0.788604 | − | 0.614901i | \(-0.210804\pi\) |
−0.926822 | + | 0.375500i | \(0.877471\pi\) | |||||||
\(72\) | −356.811 | + | 285.386i | −0.584035 | + | 0.467125i | ||||
\(73\) | 484.355 | − | 838.928i | 0.776568 | − | 1.34506i | −0.157341 | − | 0.987544i | \(-0.550292\pi\) |
0.933909 | − | 0.357511i | \(-0.116375\pi\) | |||||||
\(74\) | 68.6357 | − | 389.252i | 0.107821 | − | 0.611482i | ||||
\(75\) | 217.404 | + | 265.362i | 0.334715 | + | 0.408551i | ||||
\(76\) | 148.605 | + | 54.0876i | 0.224291 | + | 0.0816352i | ||||
\(77\) | 26.3187 | + | 149.261i | 0.0389518 | + | 0.220907i | ||||
\(78\) | 421.569 | + | 79.4519i | 0.611965 | + | 0.115335i | ||||
\(79\) | 759.383 | + | 637.198i | 1.08148 | + | 0.907473i | 0.996043 | − | 0.0888706i | \(-0.0283258\pi\) |
0.0854406 | + | 0.996343i | \(0.472770\pi\) | |||||||
\(80\) | 259.829 | 0.363123 | ||||||||
\(81\) | 535.816 | + | 494.310i | 0.735001 | + | 0.678066i | ||||
\(82\) | −284.056 | −0.382546 | ||||||||
\(83\) | 440.670 | + | 369.766i | 0.582769 | + | 0.489001i | 0.885855 | − | 0.463962i | \(-0.153573\pi\) |
−0.303086 | + | 0.952963i | \(0.598017\pi\) | |||||||
\(84\) | 441.758 | + | 83.2568i | 0.573806 | + | 0.108144i | ||||
\(85\) | 48.3613 | + | 274.270i | 0.0617120 | + | 0.349986i | ||||
\(86\) | 165.847 | + | 60.3633i | 0.207950 | + | 0.0756876i | ||||
\(87\) | −939.496 | − | 1146.74i | −1.15775 | − | 1.41315i | ||||
\(88\) | 34.3334 | − | 194.714i | 0.0415904 | − | 0.235871i | ||||
\(89\) | −140.691 | + | 243.684i | −0.167564 | + | 0.290229i | −0.937563 | − | 0.347816i | \(-0.886923\pi\) |
0.769999 | + | 0.638045i | \(0.220257\pi\) | |||||||
\(90\) | 35.9910 | + | 236.482i | 0.0421531 | + | 0.276970i | ||||
\(91\) | −464.184 | − | 803.990i | −0.534722 | − | 0.926165i | ||||
\(92\) | −1248.27 | + | 454.335i | −1.41458 | + | 0.514866i | ||||
\(93\) | 1.90184 | − | 161.862i | 0.00212056 | − | 0.180477i | ||||
\(94\) | −253.447 | + | 212.667i | −0.278097 | + | 0.233351i | ||||
\(95\) | 139.502 | − | 117.056i | 0.150659 | − | 0.126418i | ||||
\(96\) | −779.454 | − | 462.312i | −0.828673 | − | 0.491506i | ||||
\(97\) | 446.114 | − | 162.372i | 0.466969 | − | 0.169963i | −0.0978099 | − | 0.995205i | \(-0.531184\pi\) |
0.564779 | + | 0.825242i | \(0.308961\pi\) | |||||||
\(98\) | −100.782 | − | 174.560i | −0.103883 | − | 0.179931i | ||||
\(99\) | −315.378 | − | 7.41226i | −0.320169 | − | 0.00752485i | ||||
\(100\) | −220.149 | + | 381.310i | −0.220149 | + | 0.381310i | ||||
\(101\) | 247.912 | − | 1405.98i | 0.244240 | − | 1.38515i | −0.578012 | − | 0.816028i | \(-0.696171\pi\) |
0.822252 | − | 0.569124i | \(-0.192718\pi\) | |||||||
\(102\) | 76.7408 | − | 203.377i | 0.0744948 | − | 0.197424i | ||||
\(103\) | −1158.18 | − | 421.542i | −1.10795 | − | 0.403260i | −0.277708 | − | 0.960666i | \(-0.589575\pi\) |
−0.830241 | + | 0.557405i | \(0.811797\pi\) | |||||||
\(104\) | 210.302 | + | 1192.68i | 0.198287 | + | 1.12454i | ||||
\(105\) | 337.380 | − | 392.611i | 0.313570 | − | 0.364904i | ||||
\(106\) | 284.539 | + | 238.757i | 0.260725 | + | 0.218774i | ||||
\(107\) | 1720.54 | 1.55449 | 0.777247 | − | 0.629196i | \(-0.216616\pi\) | ||||
0.777247 | + | 0.629196i | \(0.216616\pi\) | |||||||
\(108\) | −350.803 | + | 867.416i | −0.312556 | + | 0.772844i | ||||
\(109\) | −313.942 | −0.275873 | −0.137937 | − | 0.990441i | \(-0.544047\pi\) | ||||
−0.137937 | + | 0.990441i | \(0.544047\pi\) | |||||||
\(110\) | −79.2954 | − | 66.5367i | −0.0687320 | − | 0.0576730i | ||||
\(111\) | −589.225 | − | 1680.04i | −0.503844 | − | 1.43660i | ||||
\(112\) | 76.2096 | + | 432.206i | 0.0642958 | + | 0.364640i | ||||
\(113\) | −500.705 | − | 182.242i | −0.416835 | − | 0.151716i | 0.125084 | − | 0.992146i | \(-0.460080\pi\) |
−0.541919 | + | 0.840431i | \(0.682302\pi\) | |||||||
\(114\) | −140.257 | + | 23.0354i | −0.115230 | + | 0.0189251i | ||||
\(115\) | −265.628 | + | 1506.45i | −0.215390 | + | 1.22154i | ||||
\(116\) | 951.362 | − | 1647.81i | 0.761480 | − | 1.31892i | ||||
\(117\) | 1830.81 | − | 618.044i | 1.44665 | − | 0.488361i | ||||
\(118\) | 234.782 | + | 406.655i | 0.183165 | + | 0.317251i | ||||
\(119\) | −442.043 | + | 160.890i | −0.340521 | + | 0.123940i | ||||
\(120\) | −588.751 | + | 330.754i | −0.447878 | + | 0.251613i | ||||
\(121\) | −915.030 | + | 767.801i | −0.687475 | + | 0.576860i | ||||
\(122\) | −184.346 | + | 154.685i | −0.136803 | + | 0.114791i | ||||
\(123\) | −1115.51 | + | 626.679i | −0.817738 | + | 0.459397i | ||||
\(124\) | 195.234 | − | 71.0594i | 0.141391 | − | 0.0514623i | ||||
\(125\) | 733.503 | + | 1270.46i | 0.524852 | + | 0.909071i | ||||
\(126\) | −382.812 | + | 129.230i | −0.270664 | + | 0.0913706i | ||||
\(127\) | 50.2066 | − | 86.9604i | 0.0350797 | − | 0.0607598i | −0.847953 | − | 0.530072i | \(-0.822165\pi\) |
0.883032 | + | 0.469312i | \(0.155498\pi\) | |||||||
\(128\) | 256.199 | − | 1452.98i | 0.176914 | − | 1.00333i | ||||
\(129\) | 784.462 | − | 128.838i | 0.535411 | − | 0.0879343i | ||||
\(130\) | 595.807 | + | 216.856i | 0.401967 | + | 0.146304i | ||||
\(131\) | −31.1900 | − | 176.887i | −0.0208022 | − | 0.117975i | 0.972638 | − | 0.232324i | \(-0.0746329\pi\) |
−0.993441 | + | 0.114349i | \(0.963522\pi\) | |||||||
\(132\) | −134.003 | − | 382.080i | −0.0883599 | − | 0.251938i | ||||
\(133\) | 235.630 | + | 197.717i | 0.153622 | + | 0.128904i | ||||
\(134\) | 228.978 | 0.147617 | ||||||||
\(135\) | 663.059 | + | 849.274i | 0.422719 | + | 0.541436i | ||||
\(136\) | 613.665 | 0.386922 | ||||||||
\(137\) | 1384.41 | + | 1161.66i | 0.863344 | + | 0.724431i | 0.962686 | − | 0.270622i | \(-0.0872294\pi\) |
−0.0993420 | + | 0.995053i | \(0.531674\pi\) | |||||||
\(138\) | 778.141 | − | 905.529i | 0.479998 | − | 0.558578i | ||||
\(139\) | 148.123 | + | 840.050i | 0.0903861 | + | 0.512605i | 0.996064 | + | 0.0886382i | \(0.0282515\pi\) |
−0.905678 | + | 0.423967i | \(0.860637\pi\) | |||||||
\(140\) | 624.341 | + | 227.241i | 0.376903 | + | 0.137182i | ||||
\(141\) | −526.119 | + | 1394.31i | −0.314236 | + | 0.832779i | ||||
\(142\) | −33.1287 | + | 187.882i | −0.0195782 | + | 0.111033i | ||||
\(143\) | −418.092 | + | 724.157i | −0.244494 | + | 0.423476i | ||||
\(144\) | −913.225 | − | 21.4633i | −0.528487 | − | 0.0124209i | ||||
\(145\) | −1095.53 | − | 1897.51i | −0.627440 | − | 1.08676i | ||||
\(146\) | −1050.10 | + | 382.205i | −0.595253 | + | 0.216654i | ||||
\(147\) | −780.889 | − | 463.164i | −0.438140 | − | 0.259871i | ||||
\(148\) | 1750.48 | − | 1468.83i | 0.972222 | − | 0.815791i | ||||
\(149\) | −1741.89 | + | 1461.62i | −0.957725 | + | 0.803627i | −0.980581 | − | 0.196112i | \(-0.937168\pi\) |
0.0228566 | + | 0.999739i | \(0.492724\pi\) | |||||||
\(150\) | 4.64947 | − | 395.708i | 0.00253085 | − | 0.215396i | ||||
\(151\) | 32.0911 | − | 11.6802i | 0.0172950 | − | 0.00629485i | −0.333358 | − | 0.942800i | \(-0.608182\pi\) |
0.350653 | + | 0.936505i | \(0.385960\pi\) | |||||||
\(152\) | −200.632 | − | 347.504i | −0.107062 | − | 0.185436i | ||||
\(153\) | −147.320 | − | 967.975i | −0.0778437 | − | 0.511478i | ||||
\(154\) | 87.4209 | − | 151.417i | 0.0457440 | − | 0.0792309i | ||||
\(155\) | 41.5450 | − | 235.613i | 0.0215289 | − | 0.122096i | ||||
\(156\) | 1571.76 | + | 1918.48i | 0.806674 | + | 0.984623i | ||||
\(157\) | −1761.03 | − | 640.961i | −0.895192 | − | 0.325823i | −0.146867 | − | 0.989156i | \(-0.546919\pi\) |
−0.748324 | + | 0.663333i | \(0.769141\pi\) | |||||||
\(158\) | −198.577 | − | 1126.18i | −0.0999868 | − | 0.567053i | ||||
\(159\) | 1644.14 | + | 309.867i | 0.820056 | + | 0.154554i | ||||
\(160\) | −1026.06 | − | 860.966i | −0.506982 | − | 0.425408i | ||||
\(161\) | −2583.77 | −1.26478 | ||||||||
\(162\) | −106.963 | − | 834.137i | −0.0518754 | − | 0.404543i | ||||
\(163\) | 1450.53 | 0.697020 | 0.348510 | − | 0.937305i | \(-0.386688\pi\) | ||||
0.348510 | + | 0.937305i | \(0.386688\pi\) | |||||||
\(164\) | −1258.01 | − | 1055.59i | −0.598986 | − | 0.502609i | ||||
\(165\) | −458.190 | − | 86.3537i | −0.216182 | − | 0.0407432i | ||||
\(166\) | −115.234 | − | 653.525i | −0.0538789 | − | 0.305563i | ||||
\(167\) | 1758.56 | + | 640.064i | 0.814860 | + | 0.296585i | 0.715630 | − | 0.698480i | \(-0.246140\pi\) |
0.0992302 | + | 0.995065i | \(0.468362\pi\) | |||||||
\(168\) | −722.869 | − | 882.330i | −0.331967 | − | 0.405198i | ||||
\(169\) | 507.898 | − | 2880.43i | 0.231178 | − | 1.31108i | ||||
\(170\) | 160.638 | − | 278.234i | 0.0724729 | − | 0.125527i | ||||
\(171\) | −499.977 | + | 399.893i | −0.223592 | + | 0.178834i | ||||
\(172\) | 510.171 | + | 883.641i | 0.226164 | + | 0.391727i | ||||
\(173\) | −797.694 | + | 290.337i | −0.350564 | + | 0.127595i | −0.511299 | − | 0.859403i | \(-0.670836\pi\) |
0.160736 | + | 0.986998i | \(0.448613\pi\) | |||||||
\(174\) | −20.0924 | + | 1710.03i | −0.00875403 | + | 0.745039i | ||||
\(175\) | −656.042 | + | 550.484i | −0.283383 | + | 0.237787i | ||||
\(176\) | 302.814 | − | 254.091i | 0.129690 | − | 0.108823i | ||||
\(177\) | 1819.16 | + | 1078.99i | 0.772521 | + | 0.458201i | ||||
\(178\) | 305.023 | − | 111.019i | 0.128441 | − | 0.0467486i | ||||
\(179\) | −1072.00 | − | 1856.77i | −0.447628 | − | 0.775314i | 0.550603 | − | 0.834767i | \(-0.314398\pi\) |
−0.998231 | + | 0.0594528i | \(0.981064\pi\) | |||||||
\(180\) | −719.404 | + | 1181.06i | −0.297896 | + | 0.489060i | ||||
\(181\) | −328.190 | + | 568.441i | −0.134774 | + | 0.233436i | −0.925511 | − | 0.378720i | \(-0.876364\pi\) |
0.790737 | + | 0.612156i | \(0.209698\pi\) | |||||||
\(182\) | −185.969 | + | 1054.68i | −0.0757416 | + | 0.429552i | ||||
\(183\) | −382.676 | + | 1014.16i | −0.154580 | + | 0.409665i | ||||
\(184\) | 3167.33 | + | 1152.81i | 1.26901 | + | 0.461883i | ||||
\(185\) | −456.934 | − | 2591.40i | −0.181592 | − | 1.02986i | ||||
\(186\) | −121.704 | + | 141.628i | −0.0479772 | + | 0.0558314i | ||||
\(187\) | 324.575 | + | 272.351i | 0.126927 | + | 0.106504i | ||||
\(188\) | −1912.75 | −0.742029 | ||||||||
\(189\) | −1218.22 | + | 1352.05i | −0.468850 | + | 0.520354i | ||||
\(190\) | −210.076 | −0.0802132 | ||||||||
\(191\) | 2772.47 | + | 2326.38i | 1.05031 | + | 0.881314i | 0.993126 | − | 0.117049i | \(-0.0373436\pi\) |
0.0571834 | + | 0.998364i | \(0.481788\pi\) | |||||||
\(192\) | −119.460 | − | 340.614i | −0.0449026 | − | 0.128030i | ||||
\(193\) | −365.157 | − | 2070.91i | −0.136190 | − | 0.772370i | −0.974024 | − | 0.226445i | \(-0.927290\pi\) |
0.837834 | − | 0.545925i | \(-0.183822\pi\) | |||||||
\(194\) | −514.632 | − | 187.311i | −0.190456 | − | 0.0693203i | ||||
\(195\) | 2818.19 | − | 462.852i | 1.03495 | − | 0.169977i | ||||
\(196\) | 202.353 | − | 1147.60i | 0.0737437 | − | 0.418221i | ||||
\(197\) | −2294.50 | + | 3974.20i | −0.829831 | + | 1.43731i | 0.0683399 | + | 0.997662i | \(0.478230\pi\) |
−0.898171 | + | 0.439647i | \(0.855104\pi\) | |||||||
\(198\) | 273.204 | + | 240.407i | 0.0980594 | + | 0.0862879i | ||||
\(199\) | 983.076 | + | 1702.74i | 0.350193 | + | 0.606552i | 0.986283 | − | 0.165063i | \(-0.0527827\pi\) |
−0.636090 | + | 0.771615i | \(0.719449\pi\) | |||||||
\(200\) | 1049.82 | − | 382.104i | 0.371169 | − | 0.135094i | ||||
\(201\) | 899.210 | − | 505.167i | 0.315549 | − | 0.177272i | ||||
\(202\) | −1261.63 | + | 1058.64i | −0.439447 | + | 0.368740i | ||||
\(203\) | 2835.04 | − | 2378.88i | 0.980202 | − | 0.822487i | ||||
\(204\) | 1095.64 | − | 615.518i | 0.376030 | − | 0.211250i | ||||
\(205\) | −1777.02 | + | 646.784i | −0.605428 | + | 0.220358i | ||||
\(206\) | 710.904 | + | 1231.32i | 0.240442 | + | 0.416458i | ||||
\(207\) | 1058.04 | − | 5272.79i | 0.355262 | − | 1.77045i | ||||
\(208\) | −1210.65 | + | 2096.91i | −0.403574 | + | 0.699011i | ||||
\(209\) | 48.1093 | − | 272.841i | 0.0159224 | − | 0.0903006i | ||||
\(210\) | −589.269 | + | 96.7798i | −0.193635 | + | 0.0318021i | ||||
\(211\) | 554.841 | + | 201.946i | 0.181028 | + | 0.0658887i | 0.430944 | − | 0.902379i | \(-0.358181\pi\) |
−0.249916 | + | 0.968268i | \(0.580403\pi\) | |||||||
\(212\) | 372.892 | + | 2114.77i | 0.120803 | + | 0.685109i | ||||
\(213\) | 284.404 | + | 810.913i | 0.0914884 | + | 0.260858i | ||||
\(214\) | −1520.44 | − | 1275.80i | −0.485679 | − | 0.407533i | ||||
\(215\) | 1174.96 | 0.372706 | ||||||||
\(216\) | 2096.61 | − | 1113.87i | 0.660446 | − | 0.350877i | ||||
\(217\) | 404.110 | 0.126418 | ||||||||
\(218\) | 277.431 | + | 232.792i | 0.0861926 | + | 0.0723242i | ||||
\(219\) | −3280.59 | + | 3817.65i | −1.01225 | + | 1.17796i | ||||
\(220\) | −103.917 | − | 589.345i | −0.0318460 | − | 0.180607i | ||||
\(221\) | −2438.78 | − | 887.644i | −0.742309 | − | 0.270178i | ||||
\(222\) | −725.073 | + | 1921.57i | −0.219206 | + | 0.580934i | ||||
\(223\) | −745.499 | + | 4227.93i | −0.223867 | + | 1.26961i | 0.640973 | + | 0.767563i | \(0.278531\pi\) |
−0.864840 | + | 0.502048i | \(0.832580\pi\) | |||||||
\(224\) | 1131.20 | − | 1959.30i | 0.337417 | − | 0.584424i | ||||
\(225\) | −854.745 | − | 1564.23i | −0.253258 | − | 0.463475i | ||||
\(226\) | 307.339 | + | 532.326i | 0.0904596 | + | 0.156681i | ||||
\(227\) | 4108.16 | − | 1495.25i | 1.20118 | − | 0.437195i | 0.337546 | − | 0.941309i | \(-0.390403\pi\) |
0.863637 | + | 0.504114i | \(0.168181\pi\) | |||||||
\(228\) | −706.761 | − | 419.197i | −0.205291 | − | 0.121763i | ||||
\(229\) | 4523.97 | − | 3796.06i | 1.30547 | − | 1.09542i | 0.316296 | − | 0.948660i | \(-0.397561\pi\) |
0.989172 | − | 0.146758i | \(-0.0468838\pi\) | |||||||
\(230\) | 1351.79 | − | 1134.28i | 0.387540 | − | 0.325185i | ||||
\(231\) | 9.25283 | − | 787.491i | 0.00263546 | − | 0.224299i | ||||
\(232\) | −4536.75 | + | 1651.24i | −1.28384 | + | 0.467281i | ||||
\(233\) | −1092.56 | − | 1892.37i | −0.307193 | − | 0.532073i | 0.670554 | − | 0.741860i | \(-0.266056\pi\) |
−0.977747 | + | 0.209787i | \(0.932723\pi\) | |||||||
\(234\) | −2076.18 | − | 811.403i | −0.580017 | − | 0.226680i | ||||
\(235\) | −1101.30 | + | 1907.51i | −0.305707 | + | 0.529499i | ||||
\(236\) | −471.400 | + | 2673.44i | −0.130024 | + | 0.737400i | ||||
\(237\) | −3264.39 | − | 3984.50i | −0.894704 | − | 1.09207i | ||||
\(238\) | 509.936 | + | 185.602i | 0.138883 | + | 0.0505494i | ||||
\(239\) | −217.813 | − | 1235.28i | −0.0589505 | − | 0.334325i | 0.941042 | − | 0.338291i | \(-0.109849\pi\) |
−0.999992 | + | 0.00396578i | \(0.998738\pi\) | |||||||
\(240\) | −1326.76 | − | 250.050i | −0.356841 | − | 0.0672527i | ||||
\(241\) | −1882.83 | − | 1579.88i | −0.503252 | − | 0.422279i | 0.355495 | − | 0.934678i | \(-0.384312\pi\) |
−0.858747 | + | 0.512399i | \(0.828757\pi\) | |||||||
\(242\) | 1377.95 | 0.366024 | ||||||||
\(243\) | −2260.31 | − | 3039.72i | −0.596703 | − | 0.802463i | ||||
\(244\) | −1391.25 | −0.365023 | ||||||||
\(245\) | −1027.95 | − | 862.551i | −0.268054 | − | 0.224924i | ||||
\(246\) | 1450.46 | + | 273.365i | 0.375928 | + | 0.0708501i | ||||
\(247\) | 294.683 | + | 1671.23i | 0.0759119 | + | 0.430518i | ||||
\(248\) | −495.380 | − | 180.304i | −0.126841 | − | 0.0461665i | ||||
\(249\) | −1894.33 | − | 2312.20i | −0.482120 | − | 0.588474i | ||||
\(250\) | 293.869 | − | 1666.61i | 0.0743436 | − | 0.421624i | ||||
\(251\) | 39.4859 | − | 68.3916i | 0.00992960 | − | 0.0171986i | −0.861018 | − | 0.508575i | \(-0.830173\pi\) |
0.870948 | + | 0.491376i | \(0.163506\pi\) | |||||||
\(252\) | −2175.60 | − | 850.262i | −0.543850 | − | 0.212545i | ||||
\(253\) | 1163.61 | + | 2015.43i | 0.289152 | + | 0.500825i | ||||
\(254\) | −108.850 | + | 39.6181i | −0.0268892 | + | 0.00978687i | ||||
\(255\) | 17.0023 | − | 1447.04i | 0.00417540 | − | 0.355360i | ||||
\(256\) | −878.093 | + | 736.808i | −0.214378 | + | 0.179885i | ||||
\(257\) | 249.106 | − | 209.024i | 0.0604622 | − | 0.0507338i | −0.612056 | − | 0.790815i | \(-0.709657\pi\) |
0.672518 | + | 0.740081i | \(0.265213\pi\) | |||||||
\(258\) | −788.764 | − | 467.835i | −0.190335 | − | 0.112892i | ||||
\(259\) | 4176.57 | − | 1520.15i | 1.00201 | − | 0.364700i | ||||
\(260\) | 1832.80 | + | 3174.50i | 0.437174 | + | 0.757208i | ||||
\(261\) | 3693.73 | + | 6759.71i | 0.875999 | + | 1.60312i | ||||
\(262\) | −103.602 | + | 179.443i | −0.0244295 | + | 0.0423131i | ||||
\(263\) | −749.827 | + | 4252.48i | −0.175803 | + | 0.997031i | 0.761409 | + | 0.648272i | \(0.224508\pi\) |
−0.937212 | + | 0.348759i | \(0.886603\pi\) | |||||||
\(264\) | −362.701 | + | 961.221i | −0.0845557 | + | 0.224087i | ||||
\(265\) | 2323.68 | + | 845.751i | 0.538652 | + | 0.196053i | ||||
\(266\) | −61.6166 | − | 349.445i | −0.0142028 | − | 0.0805483i | ||||
\(267\) | 952.916 | − | 1108.92i | 0.218418 | − | 0.254174i | ||||
\(268\) | 1014.08 | + | 850.914i | 0.231137 | + | 0.193947i | ||||
\(269\) | 1591.29 | 0.360678 | 0.180339 | − | 0.983604i | \(-0.442280\pi\) | ||||
0.180339 | + | 0.983604i | \(0.442280\pi\) | |||||||
\(270\) | 43.8018 | − | 1242.17i | 0.00987293 | − | 0.279986i | ||||
\(271\) | −1969.04 | −0.441369 | −0.220684 | − | 0.975345i | \(-0.570829\pi\) | ||||
−0.220684 | + | 0.975345i | \(0.570829\pi\) | |||||||
\(272\) | 939.855 | + | 788.632i | 0.209511 | + | 0.175801i | ||||
\(273\) | 1596.51 | + | 4552.09i | 0.353939 | + | 1.00918i | ||||
\(274\) | −362.020 | − | 2053.12i | −0.0798190 | − | 0.452676i | ||||
\(275\) | 724.846 | + | 263.822i | 0.158945 | + | 0.0578512i | ||||
\(276\) | 6811.24 | − | 1118.66i | 1.48547 | − | 0.243968i | ||||
\(277\) | −313.846 | + | 1779.91i | −0.0680764 | + | 0.386081i | 0.931665 | + | 0.363320i | \(0.118357\pi\) |
−0.999741 | + | 0.0227609i | \(0.992754\pi\) | |||||||
\(278\) | 492.011 | − | 852.188i | 0.106147 | − | 0.183852i | ||||
\(279\) | −165.481 | + | 824.681i | −0.0355094 | + | 0.176962i | ||||
\(280\) | −842.925 | − | 1459.99i | −0.179909 | − | 0.311611i | ||||
\(281\) | 2764.86 | − | 1006.33i | 0.586967 | − | 0.213639i | −0.0314277 | − | 0.999506i | \(-0.510005\pi\) |
0.618395 | + | 0.785867i | \(0.287783\pi\) | |||||||
\(282\) | 1498.83 | − | 842.027i | 0.316504 | − | 0.177808i | ||||
\(283\) | −1458.43 | + | 1223.76i | −0.306341 | + | 0.257050i | −0.782978 | − | 0.622050i | \(-0.786300\pi\) |
0.476637 | + | 0.879100i | \(0.341856\pi\) | |||||||
\(284\) | −844.914 | + | 708.967i | −0.176537 | + | 0.148132i | ||||
\(285\) | −824.981 | + | 463.466i | −0.171465 | + | 0.0963275i | ||||
\(286\) | 906.441 | − | 329.917i | 0.187409 | − | 0.0682113i | ||||
\(287\) | −1597.09 | − | 2766.24i | −0.328478 | − | 0.568940i | ||||
\(288\) | 3535.18 | + | 3110.80i | 0.723307 | + | 0.636478i | ||||
\(289\) | 1798.97 | − | 3115.91i | 0.366165 | − | 0.634217i | ||||
\(290\) | −438.911 | + | 2489.19i | −0.0888749 | + | 0.504034i | ||||
\(291\) | −2434.23 | + | 399.791i | −0.490368 | + | 0.0805366i | ||||
\(292\) | −6070.93 | − | 2209.64i | −1.21669 | − | 0.442840i | ||||
\(293\) | 389.898 | + | 2211.22i | 0.0777408 | + | 0.440890i | 0.998688 | + | 0.0512033i | \(0.0163056\pi\) |
−0.920947 | + | 0.389687i | \(0.872583\pi\) | |||||||
\(294\) | 346.630 | + | 988.338i | 0.0687616 | + | 0.196058i | ||||
\(295\) | 2394.71 | + | 2009.40i | 0.472628 | + | 0.396582i | ||||
\(296\) | −5798.12 | −1.13854 | ||||||||
\(297\) | 1603.27 | + | 341.357i | 0.313236 | + | 0.0666921i | ||||
\(298\) | 2623.12 | 0.509910 | ||||||||
\(299\) | −10919.8 | − | 9162.84i | −2.11208 | − | 1.77224i | ||||
\(300\) | 1491.10 | − | 1735.20i | 0.286962 | − | 0.333940i | ||||
\(301\) | 344.624 | + | 1954.46i | 0.0659927 | + | 0.374263i | ||||
\(302\) | −37.0200 | − | 13.4742i | −0.00705385 | − | 0.00256739i | ||||
\(303\) | −2618.97 | + | 6940.72i | −0.496554 | + | 1.31595i | ||||
\(304\) | 139.308 | − | 790.053i | 0.0262824 | − | 0.149055i | ||||
\(305\) | −801.039 | + | 1387.44i | −0.150385 | + | 0.260474i | ||||
\(306\) | −587.580 | + | 964.640i | −0.109770 | + | 0.180212i | ||||
\(307\) | −1641.19 | − | 2842.62i | −0.305106 | − | 0.528459i | 0.672179 | − | 0.740389i | \(-0.265358\pi\) |
−0.977285 | + | 0.211930i | \(0.932025\pi\) | |||||||
\(308\) | 949.851 | − | 345.717i | 0.175723 | − | 0.0639580i | ||||
\(309\) | 5508.28 | + | 3267.09i | 1.01409 | + | 0.601483i | ||||
\(310\) | −211.424 | + | 177.406i | −0.0387357 | + | 0.0325031i | ||||
\(311\) | −416.568 | + | 349.542i | −0.0759530 | + | 0.0637321i | −0.679974 | − | 0.733236i | \(-0.738009\pi\) |
0.604021 | + | 0.796969i | \(0.293564\pi\) | |||||||
\(312\) | 73.9356 | − | 6292.52i | 0.0134160 | − | 1.14181i | ||||
\(313\) | 4550.96 | − | 1656.41i | 0.821839 | − | 0.299125i | 0.103334 | − | 0.994647i | \(-0.467049\pi\) |
0.718505 | + | 0.695522i | \(0.244827\pi\) | |||||||
\(314\) | 1080.94 | + | 1872.24i | 0.194270 | + | 0.336486i | ||||
\(315\) | −2100.58 | + | 1680.09i | −0.375728 | + | 0.300516i | ||||
\(316\) | 3305.62 | − | 5725.50i | 0.588467 | − | 1.01925i | ||||
\(317\) | −253.609 | + | 1438.29i | −0.0449340 | + | 0.254834i | −0.998997 | − | 0.0447718i | \(-0.985744\pi\) |
0.954063 | + | 0.299605i | \(0.0968550\pi\) | |||||||
\(318\) | −1223.16 | − | 1492.98i | −0.215696 | − | 0.263278i | ||||
\(319\) | −3132.38 | − | 1140.09i | −0.549778 | − | 0.200103i | ||||
\(320\) | −92.6394 | − | 525.384i | −0.0161834 | − | 0.0917808i | ||||
\(321\) | −8785.51 | − | 1655.78i | −1.52760 | − | 0.287902i | ||||
\(322\) | 2283.28 | + | 1915.90i | 0.395162 | + | 0.331581i | ||||
\(323\) | 859.891 | 0.148129 | ||||||||
\(324\) | 2626.06 | − | 4091.65i | 0.450284 | − | 0.701586i | ||||
\(325\) | −4724.83 | −0.806419 | ||||||||
\(326\) | −1281.83 | − | 1075.59i | −0.217774 | − | 0.182734i | ||||
\(327\) | 1603.07 | + | 302.126i | 0.271100 | + | 0.0510935i | ||||
\(328\) | 723.572 | + | 4103.58i | 0.121807 | + | 0.690800i | ||||
\(329\) | −3496.02 | − | 1272.45i | −0.585841 | − | 0.213229i | ||||
\(330\) | 340.870 | + | 416.064i | 0.0568615 | + | 0.0694048i | ||||
\(331\) | 718.217 | − | 4073.21i | 0.119265 | − | 0.676386i | −0.865285 | − | 0.501281i | \(-0.832862\pi\) |
0.984550 | − | 0.175105i | \(-0.0560266\pi\) | |||||||
\(332\) | 1918.25 | − | 3322.51i | 0.317101 | − | 0.549236i | ||||
\(333\) | 1391.93 | + | 9145.76i | 0.229060 | + | 1.50506i | ||||
\(334\) | −1079.43 | − | 1869.62i | −0.176837 | − | 0.306291i | ||||
\(335\) | 1432.46 | − | 521.373i | 0.233623 | − | 0.0850318i | ||||
\(336\) | 26.7929 | − | 2280.30i | 0.00435022 | − | 0.370239i | ||||
\(337\) | 990.666 | − | 831.268i | 0.160134 | − | 0.134368i | −0.559200 | − | 0.829033i | \(-0.688892\pi\) |
0.719334 | + | 0.694665i | \(0.244447\pi\) | |||||||
\(338\) | −2584.71 | + | 2168.83i | −0.415946 | + | 0.349020i | ||||
\(339\) | 2381.35 | + | 1412.43i | 0.381525 | + | 0.226291i | ||||
\(340\) | 1745.38 | − | 635.265i | 0.278401 | − | 0.101330i | ||||
\(341\) | −181.992 | − | 315.219i | −0.0289015 | − | 0.0500589i | ||||
\(342\) | 738.356 | + | 17.3534i | 0.116742 | + | 0.00274376i | ||||
\(343\) | 3357.98 | − | 5816.18i | 0.528611 | − | 0.915581i | ||||
\(344\) | 449.571 | − | 2549.65i | 0.0704630 | − | 0.399615i | ||||
\(345\) | 2806.11 | − | 7436.68i | 0.437901 | − | 1.16051i | ||||
\(346\) | 920.211 | + | 334.929i | 0.142979 | + | 0.0520402i | ||||
\(347\) | 1770.08 | + | 10038.6i | 0.273841 | + | 1.55303i | 0.742618 | + | 0.669715i | \(0.233584\pi\) |
−0.468777 | + | 0.883317i | \(0.655305\pi\) | |||||||
\(348\) | −6443.68 | + | 7498.57i | −0.992580 | + | 1.15507i | ||||
\(349\) | −1281.95 | − | 1075.68i | −0.196622 | − | 0.164986i | 0.539161 | − | 0.842203i | \(-0.318741\pi\) |
−0.735783 | + | 0.677217i | \(0.763186\pi\) | |||||||
\(350\) | 987.936 | 0.150878 | ||||||||
\(351\) | −9943.37 | + | 1393.99i | −1.51207 | + | 0.211982i | ||||
\(352\) | −2037.75 | −0.308559 | ||||||||
\(353\) | −5103.18 | − | 4282.07i | −0.769447 | − | 0.645643i | 0.171120 | − | 0.985250i | \(-0.445261\pi\) |
−0.940567 | + | 0.339608i | \(0.889706\pi\) | |||||||
\(354\) | −807.509 | − | 2302.43i | −0.121239 | − | 0.345686i | ||||
\(355\) | 220.550 | + | 1250.80i | 0.0329735 | + | 0.187002i | ||||
\(356\) | 1763.43 | + | 641.835i | 0.262532 | + | 0.0955539i | ||||
\(357\) | 2412.02 | − | 396.143i | 0.357584 | − | 0.0587286i | ||||
\(358\) | −429.485 | + | 2435.73i | −0.0634050 | + | 0.359588i | ||||
\(359\) | 2601.49 | − | 4505.92i | 0.382455 | − | 0.662432i | −0.608957 | − | 0.793203i | \(-0.708412\pi\) |
0.991413 | + | 0.130771i | \(0.0417452\pi\) | |||||||
\(360\) | 3324.62 | − | 1122.32i | 0.486730 | − | 0.164310i | ||||
\(361\) | 3148.37 | + | 5453.13i | 0.459013 | + | 0.795033i | ||||
\(362\) | 711.528 | − | 258.975i | 0.103307 | − | 0.0376006i | ||||
\(363\) | 5411.28 | − | 3040.00i | 0.782420 | − | 0.439555i | ||||
\(364\) | −4742.96 | + | 3979.82i | −0.682964 | + | 0.573075i | ||||
\(365\) | −5699.05 | + | 4782.07i | −0.817265 | + | 0.685767i | ||||
\(366\) | 1090.18 | − | 612.453i | 0.155696 | − | 0.0874684i | ||||
\(367\) | −10308.0 | + | 3751.81i | −1.46614 | + | 0.533632i | −0.947050 | − | 0.321087i | \(-0.895952\pi\) |
−0.519091 | + | 0.854719i | \(0.673729\pi\) | |||||||
\(368\) | 3369.40 | + | 5835.97i | 0.477288 | + | 0.826687i | ||||
\(369\) | 6299.15 | − | 2126.47i | 0.888674 | − | 0.299998i | ||||
\(370\) | −1517.76 | + | 2628.85i | −0.213256 | + | 0.369371i | ||||
\(371\) | −725.291 | + | 4113.33i | −0.101497 | + | 0.575616i | ||||
\(372\) | −1065.30 | + | 174.962i | −0.148476 | + | 0.0243853i | ||||
\(373\) | 784.003 | + | 285.354i | 0.108831 | + | 0.0396114i | 0.395862 | − | 0.918310i | \(-0.370446\pi\) |
−0.287030 | + | 0.957921i | \(0.592668\pi\) | |||||||
\(374\) | −84.8756 | − | 481.353i | −0.0117348 | − | 0.0665513i | ||||
\(375\) | −2522.81 | − | 7193.22i | −0.347406 | − | 0.990550i | ||||
\(376\) | 3717.88 | + | 3119.67i | 0.509933 | + | 0.427885i | ||||
\(377\) | 20418.0 | 2.78934 | ||||||||
\(378\) | 2079.10 | − | 291.476i | 0.282904 | − | 0.0396611i | ||||
\(379\) | 10439.8 | 1.41492 | 0.707459 | − | 0.706754i | \(-0.249841\pi\) | ||||
0.707459 | + | 0.706754i | \(0.249841\pi\) | |||||||
\(380\) | −930.368 | − | 780.672i | −0.125597 | − | 0.105388i | ||||
\(381\) | −340.055 | + | 395.725i | −0.0457259 | + | 0.0532116i | ||||
\(382\) | −724.995 | − | 4111.65i | −0.0971046 | − | 0.550708i | ||||
\(383\) | 9129.32 | + | 3322.80i | 1.21798 | + | 0.443309i | 0.869465 | − | 0.493994i | \(-0.164464\pi\) |
0.348516 | + | 0.937303i | \(0.386686\pi\) | |||||||
\(384\) | −2706.51 | + | 7172.71i | −0.359677 | + | 0.953206i | ||||
\(385\) | 202.124 | − | 1146.30i | 0.0267564 | − | 0.151743i | ||||
\(386\) | −1212.92 | + | 2100.83i | −0.159938 | + | 0.277020i | ||||
\(387\) | −4129.65 | − | 97.0582i | −0.542434 | − | 0.0127487i | ||||
\(388\) | −1583.09 | − | 2741.99i | −0.207137 | − | 0.358772i | ||||
\(389\) | 6289.83 | − | 2289.31i | 0.819812 | − | 0.298387i | 0.102142 | − | 0.994770i | \(-0.467431\pi\) |
0.717671 | + | 0.696383i | \(0.245208\pi\) | |||||||
\(390\) | −2833.65 | − | 1680.71i | −0.367917 | − | 0.218220i | ||||
\(391\) | −5533.19 | + | 4642.89i | −0.715666 | + | 0.600515i | ||||
\(392\) | −2265.04 | + | 1900.59i | −0.291841 | + | 0.244884i | ||||
\(393\) | −10.9654 | + | 933.248i | −0.00140746 | + | 0.119787i | ||||
\(394\) | 4974.58 | − | 1810.60i | 0.636080 | − | 0.231514i | ||||
\(395\) | −3806.55 | − | 6593.13i | −0.484881 | − | 0.839839i | ||||
\(396\) | 316.557 | + | 2079.96i | 0.0401706 | + | 0.263944i | ||||
\(397\) | −4335.99 | + | 7510.15i | −0.548153 | + | 0.949429i | 0.450248 | + | 0.892904i | \(0.351336\pi\) |
−0.998401 | + | 0.0565258i | \(0.981998\pi\) | |||||||
\(398\) | 393.857 | − | 2233.67i | 0.0496037 | − | 0.281317i | ||||
\(399\) | −1012.91 | − | 1236.35i | −0.127090 | − | 0.155126i | ||||
\(400\) | 2098.90 | + | 763.937i | 0.262362 | + | 0.0954921i | ||||
\(401\) | −1265.71 | − | 7178.21i | −0.157622 | − | 0.893921i | −0.956349 | − | 0.292227i | \(-0.905604\pi\) |
0.798726 | − | 0.601694i | \(-0.205507\pi\) | |||||||
\(402\) | −1169.22 | − | 220.360i | −0.145063 | − | 0.0273397i | ||||
\(403\) | 1707.90 | + | 1433.10i | 0.211108 | + | 0.177141i | ||||
\(404\) | −9521.47 | −1.17255 | ||||||||
\(405\) | −2568.44 | − | 4974.72i | −0.315128 | − | 0.610360i | ||||
\(406\) | −4269.30 | −0.521877 | ||||||||
\(407\) | −3066.69 | − | 2573.26i | −0.373490 | − | 0.313395i | ||||
\(408\) | −3133.53 | − | 590.568i | −0.380228 | − | 0.0716605i | ||||
\(409\) | 732.096 | + | 4151.92i | 0.0885081 | + | 0.501955i | 0.996544 | + | 0.0830628i | \(0.0264702\pi\) |
−0.908036 | + | 0.418892i | \(0.862419\pi\) | |||||||
\(410\) | 2049.96 | + | 746.123i | 0.246927 | + | 0.0898742i | ||||
\(411\) | −5951.22 | − | 7264.02i | −0.714238 | − | 0.871795i | ||||
\(412\) | −1427.37 | + | 8095.00i | −0.170683 | + | 0.967990i | ||||
\(413\) | −2640.10 | + | 4572.78i | −0.314554 | + | 0.544823i | ||||
\(414\) | −4844.83 | + | 3875.01i | −0.575146 | + | 0.460016i | ||||
\(415\) | −2208.94 | − | 3826.00i | −0.261283 | − | 0.452556i | ||||
\(416\) | 11729.1 | − | 4269.04i | 1.38237 | − | 0.503141i | ||||
\(417\) | 52.0756 | − | 4432.06i | 0.00611548 | − | 0.520477i | ||||
\(418\) | −244.830 | + | 205.436i | −0.0286483 | + | 0.0240388i | ||||
\(419\) | 2785.14 | − | 2337.01i | 0.324733 | − | 0.272483i | −0.465817 | − | 0.884881i | \(-0.654239\pi\) |
0.790550 | + | 0.612398i | \(0.209795\pi\) | |||||||
\(420\) | −2969.36 | − | 1761.20i | −0.344976 | − | 0.204613i | ||||
\(421\) | 3313.92 | − | 1206.17i | 0.383636 | − | 0.139632i | −0.143001 | − | 0.989723i | \(-0.545675\pi\) |
0.526637 | + | 0.850091i | \(0.323453\pi\) | |||||||
\(422\) | −340.568 | − | 589.882i | −0.0392858 | − | 0.0680450i | ||||
\(423\) | 4028.33 | − | 6613.38i | 0.463036 | − | 0.760173i | ||||
\(424\) | 2724.36 | − | 4718.74i | 0.312044 | − | 0.540477i | ||||
\(425\) | −415.733 | + | 2357.74i | −0.0474495 | + | 0.269099i | ||||
\(426\) | 349.974 | − | 927.493i | 0.0398036 | − | 0.105486i | ||||
\(427\) | −2542.85 | − | 925.521i | −0.288190 | − | 0.104893i | ||||
\(428\) | −1992.56 | − | 11300.3i | −0.225032 | − | 1.27622i | ||||
\(429\) | 2831.79 | − | 3295.38i | 0.318695 | − | 0.370868i | ||||
\(430\) | −1038.32 | − | 871.250i | −0.116447 | − | 0.0977103i | ||||
\(431\) | −1227.61 | −0.137197 | −0.0685983 | − | 0.997644i | \(-0.521853\pi\) | ||||
−0.0685983 | + | 0.997644i | \(0.521853\pi\) | |||||||
\(432\) | 4642.51 | + | 988.450i | 0.517043 | + | 0.110085i | ||||
\(433\) | −13096.8 | −1.45356 | −0.726781 | − | 0.686869i | \(-0.758985\pi\) | ||||
−0.726781 | + | 0.686869i | \(0.758985\pi\) | |||||||
\(434\) | −357.112 | − | 299.653i | −0.0394976 | − | 0.0331424i | ||||
\(435\) | 3767.96 | + | 10743.5i | 0.415310 | + | 1.18416i | ||||
\(436\) | 363.576 | + | 2061.94i | 0.0399361 | + | 0.226489i | ||||
\(437\) | 4438.18 | + | 1615.36i | 0.485828 | + | 0.176827i | ||||
\(438\) | 5729.90 | − | 941.062i | 0.625081 | − | 0.102661i | ||||
\(439\) | 275.337 | − | 1561.51i | 0.0299342 | − | 0.169765i | −0.966176 | − | 0.257885i | \(-0.916975\pi\) |
0.996110 | + | 0.0881194i | \(0.0280857\pi\) | |||||||
\(440\) | −759.226 | + | 1315.02i | −0.0822607 | + | 0.142480i | ||||
\(441\) | 3541.69 | + | 3116.53i | 0.382431 | + | 0.336522i | ||||
\(442\) | 1496.95 | + | 2592.80i | 0.161092 | + | 0.279020i | ||||
\(443\) | −16704.8 | + | 6080.04i | −1.79157 | + | 0.652079i | −0.792463 | + | 0.609921i | \(0.791201\pi\) |
−0.999111 | + | 0.0421589i | \(0.986576\pi\) | |||||||
\(444\) | −10352.0 | + | 5815.63i | −1.10649 | + | 0.621616i | ||||
\(445\) | 1655.41 | − | 1389.05i | 0.176345 | − | 0.147971i | ||||
\(446\) | 3793.87 | − | 3183.43i | 0.402791 | − | 0.337982i | ||||
\(447\) | 10301.1 | − | 5787.07i | 1.08999 | − | 0.612347i | ||||
\(448\) | 846.764 | − | 308.197i | 0.0892988 | − | 0.0325021i | ||||
\(449\) | −367.697 | − | 636.869i | −0.0386474 | − | 0.0669393i | 0.846055 | − | 0.533096i | \(-0.178972\pi\) |
−0.884702 | + | 0.466157i | \(0.845638\pi\) | |||||||
\(450\) | −404.556 | + | 2016.11i | −0.0423799 | + | 0.211201i | ||||
\(451\) | −1438.50 | + | 2491.56i | −0.150192 | + | 0.260140i | ||||
\(452\) | −617.081 | + | 3499.64i | −0.0642147 | + | 0.364180i | ||||
\(453\) | −175.106 | + | 28.7589i | −0.0181616 | + | 0.00298281i | ||||
\(454\) | −4739.14 | − | 1724.90i | −0.489909 | − | 0.178312i | ||||
\(455\) | 1238.07 | + | 7021.44i | 0.127564 | + | 0.723450i | ||||
\(456\) | 690.052 | + | 1967.53i | 0.0708654 | + | 0.202057i | ||||
\(457\) | −9890.38 | − | 8299.01i | −1.01237 | − | 0.849478i | −0.0237189 | − | 0.999719i | \(-0.507551\pi\) |
−0.988649 | + | 0.150241i | \(0.951995\pi\) | |||||||
\(458\) | −6812.67 | −0.695055 | ||||||||
\(459\) | −179.291 | + | 5084.51i | −0.0182322 | + | 0.517047i | ||||
\(460\) | 10201.8 | 1.03405 | ||||||||
\(461\) | 9334.65 | + | 7832.70i | 0.943076 | + | 0.791335i | 0.978118 | − | 0.208051i | \(-0.0667120\pi\) |
−0.0350418 | + | 0.999386i | \(0.511156\pi\) | |||||||
\(462\) | −592.112 | + | 689.046i | −0.0596267 | + | 0.0693881i | ||||
\(463\) | −3036.40 | − | 17220.3i | −0.304781 | − | 1.72850i | −0.624536 | − | 0.780996i | \(-0.714712\pi\) |
0.319755 | − | 0.947500i | \(-0.396399\pi\) | |||||||
\(464\) | −9070.26 | − | 3301.30i | −0.907492 | − | 0.330300i | ||||
\(465\) | −438.885 | + | 1163.12i | −0.0437694 | + | 0.115997i | ||||
\(466\) | −437.720 | + | 2482.43i | −0.0435128 | + | 0.246774i | ||||
\(467\) | 2497.25 | − | 4325.37i | 0.247450 | − | 0.428596i | −0.715368 | − | 0.698748i | \(-0.753741\pi\) |
0.962818 | + | 0.270152i | \(0.0870741\pi\) | |||||||
\(468\) | −6179.52 | − | 11308.8i | −0.610360 | − | 1.11699i | ||||
\(469\) | 1287.41 | + | 2229.87i | 0.126753 | + | 0.219543i | ||||
\(470\) | 2387.67 | − | 869.040i | 0.234330 | − | 0.0852890i | ||||
\(471\) | 8375.41 | + | 4967.65i | 0.819360 | + | 0.485982i | ||||
\(472\) | 5276.63 | − | 4427.62i | 0.514569 | − | 0.431775i | ||||
\(473\) | 1369.34 | − | 1149.01i | 0.133113 | − | 0.111695i | ||||
\(474\) | −69.8134 | + | 5941.69i | −0.00676506 | + | 0.575761i | ||||
\(475\) | 1471.05 | − | 535.419i | 0.142098 | − | 0.0517194i | ||||
\(476\) | 1568.64 | + | 2716.97i | 0.151048 | + | 0.261622i | ||||
\(477\) | −8097.21 | − | 3164.52i | −0.777244 | − | 0.303760i | ||||
\(478\) | −723.495 | + | 1253.13i | −0.0692299 | + | 0.119910i | ||||
\(479\) | −2206.15 | + | 12511.7i | −0.210442 | + | 1.19348i | 0.678201 | + | 0.734876i | \(0.262760\pi\) |
−0.888643 | + | 0.458599i | \(0.848351\pi\) | |||||||
\(480\) | 4410.76 | + | 5383.75i | 0.419422 | + | 0.511945i | ||||
\(481\) | 23042.4 | + | 8386.76i | 2.18429 | + | 0.795018i | ||||
\(482\) | 492.355 | + | 2792.29i | 0.0465273 | + | 0.263870i | ||||
\(483\) | 13193.4 | + | 2486.52i | 1.24290 | + | 0.234246i | ||||
\(484\) | 6102.54 | + | 5120.64i | 0.573116 | + | 0.480902i | ||||
\(485\) | −3645.98 | −0.341351 | ||||||||
\(486\) | −256.561 | + | 4362.25i | −0.0239461 | + | 0.407152i | ||||
\(487\) | 8245.41 | 0.767218 | 0.383609 | − | 0.923496i | \(-0.374681\pi\) | ||||
0.383609 | + | 0.923496i | \(0.374681\pi\) | |||||||
\(488\) | 2704.22 | + | 2269.11i | 0.250849 | + | 0.210487i | ||||
\(489\) | −7406.78 | − | 1395.93i | −0.684961 | − | 0.129093i | ||||
\(490\) | 268.806 | + | 1524.48i | 0.0247825 | + | 0.140548i | ||||
\(491\) | −15342.3 | − | 5584.15i | −1.41016 | − | 0.513257i | −0.478985 | − | 0.877823i | \(-0.658995\pi\) |
−0.931178 | + | 0.364566i | \(0.881217\pi\) | |||||||
\(492\) | 5407.84 | + | 6600.78i | 0.495537 | + | 0.604850i | ||||
\(493\) | 1796.57 | − | 10188.8i | 0.164124 | − | 0.930795i | ||||
\(494\) | 978.828 | − | 1695.38i | 0.0891489 | − | 0.154410i | ||||
\(495\) | 2256.53 | + | 881.888i | 0.204896 | + | 0.0800766i | ||||
\(496\) | −526.985 | − | 912.764i | −0.0477063 | − | 0.0826297i | ||||
\(497\) | −2015.93 | + | 733.737i | −0.181945 | + | 0.0662225i | ||||
\(498\) | −40.5127 | + | 3447.96i | −0.00364542 | + | 0.310255i | ||||
\(499\) | 10901.6 | − | 9147.50i | 0.977998 | − | 0.820638i | −0.00578835 | − | 0.999983i | \(-0.501842\pi\) |
0.983786 | + | 0.179346i | \(0.0573981\pi\) | |||||||
\(500\) | 7494.83 | − | 6288.91i | 0.670358 | − | 0.562497i | ||||
\(501\) | −8363.70 | − | 4960.71i | −0.745833 | − | 0.442371i | ||||
\(502\) | −85.6071 | + | 31.1584i | −0.00761121 | + | 0.00277026i | ||||
\(503\) | −112.991 | − | 195.706i | −0.0100159 | − | 0.0173481i | 0.860974 | − | 0.508649i | \(-0.169855\pi\) |
−0.870990 | + | 0.491301i | \(0.836522\pi\) | |||||||
\(504\) | 2842.03 | + | 5201.07i | 0.251179 | + | 0.459670i | ||||
\(505\) | −5482.17 | + | 9495.40i | −0.483076 | + | 0.836712i | ||||
\(506\) | 466.185 | − | 2643.86i | 0.0409574 | − | 0.232281i | ||||
\(507\) | −5365.48 | + | 14219.5i | −0.469999 | + | 1.24558i | ||||
\(508\) | −629.293 | − | 229.044i | −0.0549613 | − | 0.0200043i | ||||
\(509\) | −725.487 | − | 4114.44i | −0.0631761 | − | 0.358290i | −0.999965 | − | 0.00839383i | \(-0.997328\pi\) |
0.936789 | − | 0.349896i | \(-0.113783\pi\) | |||||||
\(510\) | −1088.02 | + | 1266.14i | −0.0944674 | + | 0.109933i | ||||
\(511\) | −9626.17 | − | 8077.32i | −0.833340 | − | 0.699255i | ||||
\(512\) | −10480.8 | −0.904669 | ||||||||
\(513\) | 2937.85 | − | 1560.80i | 0.252845 | − | 0.134329i | ||||
\(514\) | −375.129 | −0.0321911 | ||||||||
\(515\) | 7251.00 | + | 6084.31i | 0.620422 | + | 0.520596i | ||||
\(516\) | −1754.68 | − | 5003.07i | −0.149700 | − | 0.426837i | ||||
\(517\) | 581.889 | + | 3300.06i | 0.0494999 | + | 0.280728i | ||||
\(518\) | −4818.05 | − | 1753.63i | −0.408674 | − | 0.148745i | ||||
\(519\) | 4352.64 | − | 714.864i | 0.368130 | − | 0.0604606i | ||||
\(520\) | 1615.09 | − | 9159.65i | 0.136205 | − | 0.772456i | ||||
\(521\) | −8636.71 | + | 14959.2i | −0.726259 | + | 1.25792i | 0.232195 | + | 0.972669i | \(0.425409\pi\) |
−0.958454 | + | 0.285248i | \(0.907924\pi\) | |||||||
\(522\) | 1748.26 | − | 8712.50i | 0.146589 | − | 0.730529i | ||||
\(523\) | −707.631 | − | 1225.65i | −0.0591636 | − | 0.102474i | 0.834927 | − | 0.550361i | \(-0.185510\pi\) |
−0.894090 | + | 0.447887i | \(0.852177\pi\) | |||||||
\(524\) | −1125.66 | + | 409.706i | −0.0938447 | + | 0.0341567i | ||||
\(525\) | 3879.68 | − | 2179.56i | 0.322520 | − | 0.181189i | ||||
\(526\) | 3815.89 | − | 3201.91i | 0.316313 | − | 0.265418i | ||||
\(527\) | 865.408 | − | 726.164i | 0.0715328 | − | 0.0600231i | ||||
\(528\) | −1790.77 | + | 1006.04i | −0.147601 | + | 0.0829208i | ||||
\(529\) | −25847.3 | + | 9407.66i | −2.12438 | + | 0.773211i | ||||
\(530\) | −1426.31 | − | 2470.43i | −0.116896 | − | 0.202469i | ||||
\(531\) | −8250.71 | − | 7260.26i | −0.674294 | − | 0.593350i | ||||
\(532\) | 1025.70 | − | 1776.57i | 0.0835900 | − | 0.144782i | ||||
\(533\) | 3060.11 | − | 17354.8i | 0.248683 | − | 1.41035i | ||||
\(534\) | −1664.37 | + | 273.351i | −0.134877 | + | 0.0221518i | ||||
\(535\) | −12416.7 | − | 4519.30i | −1.00340 | − | 0.365208i | ||||
\(536\) | −583.272 | − | 3307.90i | −0.0470029 | − | 0.266566i | ||||
\(537\) | 3687.05 | + | 10512.8i | 0.296290 | + | 0.844805i | ||||
\(538\) | −1406.22 | − | 1179.96i | −0.112689 | − | 0.0945570i | ||||
\(539\) | −2041.51 | −0.163143 | ||||||||
\(540\) | 4810.07 | − | 5338.46i | 0.383319 | − | 0.425427i | ||||
\(541\) | −1781.53 | −0.141578 | −0.0707892 | − | 0.997491i | \(-0.522552\pi\) | ||||
−0.0707892 | + | 0.997491i | \(0.522552\pi\) | |||||||
\(542\) | 1740.05 | + | 1460.07i | 0.137899 | + | 0.115711i | ||||
\(543\) | 2222.87 | − | 2586.77i | 0.175676 | − | 0.204436i | ||||
\(544\) | −1098.26 | − | 6228.57i | −0.0865583 | − | 0.490897i | ||||
\(545\) | 2265.63 | + | 824.623i | 0.178072 | + | 0.0648128i | ||||
\(546\) | 1964.60 | − | 5206.52i | 0.153987 | − | 0.408093i | ||||
\(547\) | −1740.99 | + | 9873.64i | −0.136087 | + | 0.771785i | 0.838010 | + | 0.545654i | \(0.183719\pi\) |
−0.974097 | + | 0.226131i | \(0.927392\pi\) | |||||||
\(548\) | 6026.38 | − | 10438.0i | 0.469770 | − | 0.813666i | ||||
\(549\) | 2930.03 | − | 4810.28i | 0.227779 | − | 0.373948i | ||||
\(550\) | −444.919 | − | 770.623i | −0.0344935 | − | 0.0597445i | ||||
\(551\) | −6357.06 | + | 2313.78i | −0.491506 | + | 0.178894i | ||||
\(552\) | −15063.8 | − | 8934.67i | −1.16151 | − | 0.688922i | ||||
\(553\) | 9850.68 | − | 8265.70i | 0.757493 | − | 0.635612i | ||||
\(554\) | 1597.17 | − | 1340.19i | 0.122486 | − | 0.102778i | ||||
\(555\) | −160.644 | + | 13672.1i | −0.0122864 | + | 1.04567i | ||||
\(556\) | 5345.83 | − | 1945.72i | 0.407758 | − | 0.148412i | ||||
\(557\) | −1468.87 | − | 2544.15i | −0.111738 | − | 0.193536i | 0.804733 | − | 0.593637i | \(-0.202308\pi\) |
−0.916471 | + | 0.400101i | \(0.868975\pi\) | |||||||
\(558\) | 757.748 | − | 606.064i | 0.0574875 | − | 0.0459798i | ||||
\(559\) | −5474.62 | + | 9482.32i | −0.414225 | + | 0.717458i | ||||
\(560\) | 585.281 | − | 3319.29i | 0.0441654 | − | 0.250475i | ||||
\(561\) | −1395.26 | − | 1703.05i | −0.105005 | − | 0.128169i | ||||
\(562\) | −3189.52 | − | 1160.89i | −0.239398 | − | 0.0871337i | ||||
\(563\) | 906.104 | + | 5138.77i | 0.0678290 | + | 0.384677i | 0.999757 | + | 0.0220345i | \(0.00701436\pi\) |
−0.931928 | + | 0.362643i | \(0.881875\pi\) | |||||||
\(564\) | 9766.99 | + | 1840.76i | 0.729192 | + | 0.137429i | ||||
\(565\) | 3134.76 | + | 2630.38i | 0.233417 | + | 0.195860i | ||||
\(566\) | 2196.25 | 0.163101 | ||||||||
\(567\) | 7521.72 | − | 5731.52i | 0.557112 | − | 0.424517i | ||||
\(568\) | 2798.61 | 0.206737 | ||||||||
\(569\) | 6604.67 | + | 5541.97i | 0.486612 | + | 0.408316i | 0.852810 | − | 0.522221i | \(-0.174896\pi\) |
−0.366199 | + | 0.930537i | \(0.619341\pi\) | |||||||
\(570\) | 1072.70 | + | 202.169i | 0.0788255 | + | 0.0148560i | ||||
\(571\) | 1857.04 | + | 10531.8i | 0.136103 | + | 0.771877i | 0.974085 | + | 0.226180i | \(0.0726239\pi\) |
−0.837983 | + | 0.545697i | \(0.816265\pi\) | |||||||
\(572\) | 5240.39 | + | 1907.35i | 0.383063 | + | 0.139423i | ||||
\(573\) | −11918.1 | − | 14547.2i | −0.868913 | − | 1.06059i | ||||
\(574\) | −639.853 | + | 3628.79i | −0.0465278 | + | 0.263872i | ||||
\(575\) | −6574.91 | + | 11388.1i | −0.476857 | + | 0.825941i | ||||
\(576\) | 282.201 | + | 1854.22i | 0.0204138 | + | 0.134131i | ||||
\(577\) | 11035.7 | + | 19114.4i | 0.796225 | + | 1.37910i | 0.922058 | + | 0.387051i | \(0.126506\pi\) |
−0.125833 | + | 0.992051i | \(0.540160\pi\) | |||||||
\(578\) | −3900.24 | + | 1419.57i | −0.280672 | + | 0.102156i | ||||
\(579\) | −128.378 | + | 10926.0i | −0.00921452 | + | 0.784231i | ||||
\(580\) | −11194.0 | + | 9392.86i | −0.801387 | + | 0.672443i | ||||
\(581\) | 5716.35 | − | 4796.59i | 0.408183 | − | 0.342506i | ||||
\(582\) | 2447.58 | + | 1451.72i | 0.174322 | + | 0.103395i | ||||
\(583\) | 3535.17 | − | 1286.70i | 0.251135 | − | 0.0914057i | ||||
\(584\) | 8196.39 | + | 14196.6i | 0.580769 | + | 1.00592i | ||||
\(585\) | −14835.9 | − | 348.684i | −1.04853 | − | 0.0246432i | ||||
\(586\) | 1295.10 | − | 2243.17i | 0.0912967 | − | 0.158131i | ||||
\(587\) | 2983.21 | − | 16918.6i | 0.209762 | − | 1.18962i | −0.680007 | − | 0.733205i | \(-0.738023\pi\) |
0.889769 | − | 0.456412i | \(-0.150866\pi\) | |||||||
\(588\) | −2137.67 | + | 5665.20i | −0.149925 | + | 0.397328i | ||||
\(589\) | −694.145 | − | 252.648i | −0.0485599 | − | 0.0176743i | ||||
\(590\) | −626.210 | − | 3551.41i | −0.0436960 | − | 0.247813i | ||||
\(591\) | 15540.9 | − | 18085.1i | 1.08167 | − | 1.25875i | ||||
\(592\) | −8880.07 | − | 7451.26i | −0.616501 | − | 0.517306i | ||||
\(593\) | 5277.08 | 0.365436 | 0.182718 | − | 0.983165i | \(-0.441510\pi\) | ||||
0.182718 | + | 0.983165i | \(0.441510\pi\) | |||||||
\(594\) | −1163.69 | − | 1490.50i | −0.0803818 | − | 0.102956i | ||||
\(595\) | 3612.71 | 0.248919 | ||||||||
\(596\) | 11617.1 | + | 9747.86i | 0.798411 | + | 0.669946i | ||||
\(597\) | −3381.19 | − | 9640.69i | −0.231797 | − | 0.660917i | ||||
\(598\) | 2855.51 | + | 16194.4i | 0.195269 | + | 1.10742i | ||||
\(599\) | 23691.1 | + | 8622.84i | 1.61601 | + | 0.588180i | 0.982616 | − | 0.185650i | \(-0.0594390\pi\) |
0.633394 | + | 0.773829i | \(0.281661\pi\) | |||||||
\(600\) | −5728.39 | + | 940.813i | −0.389768 | + | 0.0640142i | ||||
\(601\) | 2466.89 | − | 13990.4i | 0.167432 | − | 0.949555i | −0.779089 | − | 0.626913i | \(-0.784318\pi\) |
0.946521 | − | 0.322641i | \(-0.104571\pi\) | |||||||
\(602\) | 1144.71 | − | 1982.70i | 0.0775000 | − | 0.134234i | ||||
\(603\) | −5077.75 | + | 1714.15i | −0.342922 | + | 0.115764i | ||||
\(604\) | −113.879 | − | 197.245i | −0.00767167 | − | 0.0132877i | ||||
\(605\) | 8620.28 | − | 3137.53i | 0.579280 | − | 0.210841i | ||||
\(606\) | 7461.02 | − | 4191.52i | 0.500137 | − | 0.280972i | ||||
\(607\) | −11779.8 | + | 9884.43i | −0.787690 | + | 0.660950i | −0.945172 | − | 0.326572i | \(-0.894107\pi\) |
0.157483 | + | 0.987522i | \(0.449662\pi\) | |||||||
\(608\) | −3168.02 | + | 2658.29i | −0.211316 | + | 0.177315i | ||||
\(609\) | −16765.8 | + | 9418.85i | −1.11557 | + | 0.626718i | ||||
\(610\) | 1736.68 | − | 632.101i | 0.115273 | − | 0.0419558i | ||||
\(611\) | −10262.8 | − | 17775.7i | −0.679524 | − | 1.17697i | ||||
\(612\) | −6186.97 | + | 2088.59i | −0.408649 | + | 0.137952i | ||||
\(613\) | −4463.56 | + | 7731.11i | −0.294097 | + | 0.509391i | −0.974774 | − | 0.223192i | \(-0.928352\pi\) |
0.680677 | + | 0.732583i | \(0.261686\pi\) | |||||||
\(614\) | −657.521 | + | 3728.99i | −0.0432172 | + | 0.245097i | ||||
\(615\) | 9696.38 | − | 1592.50i | 0.635766 | − | 0.104416i | ||||
\(616\) | −2410.12 | − | 877.211i | −0.157640 | − | 0.0573764i | ||||
\(617\) | −776.890 | − | 4405.96i | −0.0506911 | − | 0.287484i | 0.948916 | − | 0.315530i | \(-0.102182\pi\) |
−0.999607 | + | 0.0280467i | \(0.991071\pi\) | |||||||
\(618\) | −2445.08 | − | 6971.59i | −0.159151 | − | 0.453784i | ||||
\(619\) | 16763.6 | + | 14066.3i | 1.08851 | + | 0.913367i | 0.996599 | − | 0.0824007i | \(-0.0262587\pi\) |
0.0919088 | + | 0.995767i | \(0.470703\pi\) | |||||||
\(620\) | −1595.60 | −0.103356 | ||||||||
\(621\) | −10477.0 | + | 25906.0i | −0.677015 | + | 1.67403i | ||||
\(622\) | 627.311 | 0.0404387 | ||||||||
\(623\) | 2796.12 | + | 2346.22i | 0.179814 | + | 0.150882i | ||||
\(624\) | 8199.87 | − | 9542.25i | 0.526053 | − | 0.612173i | ||||
\(625\) | −523.377 | − | 2968.22i | −0.0334961 | − | 0.189966i | ||||
\(626\) | −5249.94 | − | 1910.82i | −0.335191 | − | 0.122000i | ||||
\(627\) | −508.230 | + | 1346.90i | −0.0323712 | + | 0.0857894i | ||||
\(628\) | −2170.33 | + | 12308.6i | −0.137907 | + | 0.782109i | ||||
\(629\) | 6212.57 | − | 10760.5i | 0.393818 | − | 0.682113i | ||||
\(630\) | 3102.10 | + | 72.9078i | 0.196175 | + | 0.00461066i | ||||
\(631\) | −14486.4 | − | 25091.2i | −0.913939 | − | 1.58299i | −0.808448 | − | 0.588568i | \(-0.799692\pi\) |
−0.105491 | − | 0.994420i | \(-0.533641\pi\) | |||||||
\(632\) | −15763.4 | + | 5737.43i | −0.992146 | + | 0.361112i | ||||
\(633\) | −2638.82 | − | 1565.15i | −0.165693 | − | 0.0982763i | ||||
\(634\) | 1290.62 | − | 1082.96i | 0.0808473 | − | 0.0678389i | ||||
\(635\) | −590.744 | + | 495.693i | −0.0369181 | + | 0.0309779i | ||||
\(636\) | 131.097 | − | 11157.4i | 0.00817349 | − | 0.695630i | ||||
\(637\) | 11750.7 | − | 4276.90i | 0.730893 | − | 0.266023i | ||||
\(638\) | 1922.69 | + | 3330.20i | 0.119310 | + | 0.206652i | ||||
\(639\) | −671.847 | − | 4414.43i | −0.0415929 | − | 0.273290i | ||||
\(640\) | −5665.41 | + | 9812.78i | −0.349914 | + | 0.606069i | ||||
\(641\) | 1409.67 | − | 7994.62i | 0.0868619 | − | 0.492618i | −0.910077 | − | 0.414438i | \(-0.863978\pi\) |
0.996939 | − | 0.0781800i | \(-0.0249109\pi\) | |||||||
\(642\) | 6535.98 | + | 7977.79i | 0.401799 | + | 0.490433i | ||||
\(643\) | 8064.57 | + | 2935.26i | 0.494612 | + | 0.180024i | 0.577269 | − | 0.816554i | \(-0.304118\pi\) |
−0.0826569 | + | 0.996578i | \(0.526341\pi\) | |||||||
\(644\) | 2992.26 | + | 16970.0i | 0.183093 | + | 1.03837i | ||||
\(645\) | −5999.66 | − | 1130.74i | −0.366258 | − | 0.0690276i | ||||
\(646\) | −759.887 | − | 637.621i | −0.0462807 | − | 0.0388341i | ||||
\(647\) | 17695.3 | 1.07523 | 0.537616 | − | 0.843190i | \(-0.319325\pi\) | ||||
0.537616 | + | 0.843190i | \(0.319325\pi\) | |||||||
\(648\) | −11777.8 | + | 3670.01i | −0.714005 | + | 0.222487i | ||||
\(649\) | 4755.89 | 0.287650 | ||||||||
\(650\) | 4175.33 | + | 3503.52i | 0.251954 | + | 0.211415i | ||||
\(651\) | −2063.49 | − | 388.900i | −0.124231 | − | 0.0234135i | ||||
\(652\) | −1679.86 | − | 9526.95i | −0.100902 | − | 0.572246i | ||||
\(653\) | −2354.57 | − | 856.993i | −0.141105 | − | 0.0513579i | 0.270502 | − | 0.962719i | \(-0.412810\pi\) |
−0.411607 | + | 0.911361i | \(0.635032\pi\) | |||||||
\(654\) | −1192.60 | − | 1455.68i | −0.0713065 | − | 0.0870364i | ||||
\(655\) | −239.535 | + | 1358.47i | −0.0142892 | + | 0.0810381i | ||||
\(656\) | −4165.40 | + | 7214.69i | −0.247914 | + | 0.429400i | ||||
\(657\) | 20425.5 | − | 16336.8i | 1.21290 | − | 0.970106i | ||||
\(658\) | 2145.90 | + | 3716.81i | 0.127137 | + | 0.220207i | ||||
\(659\) | −22609.4 | + | 8229.15i | −1.33648 | + | 0.486437i | −0.908701 | − | 0.417448i | \(-0.862924\pi\) |
−0.427774 | + | 0.903886i | \(0.640702\pi\) | |||||||
\(660\) | −36.5342 | + | 3109.35i | −0.00215468 | + | 0.183381i | ||||
\(661\) | −14240.1 | + | 11948.8i | −0.837933 | + | 0.703109i | −0.957098 | − | 0.289765i | \(-0.906423\pi\) |
0.119165 | + | 0.992875i | \(0.461978\pi\) | |||||||
\(662\) | −3655.03 | + | 3066.93i | −0.214587 | + | 0.180060i | ||||
\(663\) | 11598.8 | + | 6879.53i | 0.679428 | + | 0.402985i | ||||
\(664\) | −9147.53 | + | 3329.43i | −0.534628 | + | 0.194589i | ||||
\(665\) | −1181.14 | − | 2045.79i | −0.0688761 | − | 0.119297i | ||||
\(666\) | 5551.66 | − | 9114.25i | 0.323006 | − | 0.530285i | ||||
\(667\) | 28413.1 | − | 49212.9i | 1.64941 | − | 2.85687i | ||||
\(668\) | 2167.29 | − | 12291.3i | 0.125532 | − | 0.711925i | ||||
\(669\) | 7875.51 | − | 20871.5i | 0.455134 | − | 1.20618i | ||||
\(670\) | −1652.47 | − | 601.451i | −0.0952844 | − | 0.0346807i | ||||
\(671\) | 423.241 | + | 2400.32i | 0.0243503 | + | 0.138097i | ||||
\(672\) | −7661.75 | + | 8916.05i | −0.439819 | + | 0.511821i | ||||
\(673\) | −6242.12 | − | 5237.76i | −0.357528 | − | 0.300001i | 0.446277 | − | 0.894895i | \(-0.352750\pi\) |
−0.803804 | + | 0.594894i | \(0.797194\pi\) | |||||||
\(674\) | −1491.85 | −0.0852580 | ||||||||
\(675\) | 2859.19 | + | 8809.92i | 0.163038 | + | 0.502361i | ||||
\(676\) | −19506.6 | −1.10984 | ||||||||
\(677\) | −12973.4 | − | 10886.0i | −0.736497 | − | 0.617994i | 0.195397 | − | 0.980724i | \(-0.437400\pi\) |
−0.931894 | + | 0.362730i | \(0.881845\pi\) | |||||||
\(678\) | −1057.06 | − | 3013.97i | −0.0598763 | − | 0.170724i | ||||
\(679\) | −1069.39 | − | 6064.81i | −0.0604409 | − | 0.342777i | ||||
\(680\) | −4428.66 | − | 1611.90i | −0.249752 | − | 0.0909022i | ||||
\(681\) | −22416.3 | + | 3681.59i | −1.26137 | + | 0.207164i | ||||
\(682\) | −72.9128 | + | 413.509i | −0.00409380 | + | 0.0232171i | ||||
\(683\) | 4393.17 | − | 7609.20i | 0.246120 | − | 0.426293i | −0.716326 | − | 0.697766i | \(-0.754178\pi\) |
0.962446 | + | 0.271473i | \(0.0875108\pi\) | |||||||
\(684\) | 3205.49 | + | 2820.69i | 0.179188 | + | 0.157678i | ||||
\(685\) | −6939.61 | − | 12019.8i | −0.387079 | − | 0.670440i | ||||
\(686\) | −7280.22 | + | 2649.78i | −0.405190 | + | 0.147477i | ||||
\(687\) | −26753.7 | + | 15030.0i | −1.48576 | + | 0.834686i | ||||
\(688\) | 3965.13 | − | 3327.14i | 0.219723 | − | 0.184369i | ||||
\(689\) | −17652.4 | + | 14812.2i | −0.976059 | + | 0.819010i | ||||
\(690\) | −7994.16 | + | 4491.04i | −0.441062 | + | 0.247784i | ||||
\(691\) | 23714.3 | − | 8631.29i | 1.30555 | − | 0.475181i | 0.406749 | − | 0.913540i | \(-0.366663\pi\) |
0.898800 | + | 0.438359i | \(0.144440\pi\) | |||||||
\(692\) | 2830.71 | + | 4902.94i | 0.155502 | + | 0.269338i | ||||
\(693\) | −805.099 | + | 4012.23i | −0.0441316 | + | 0.219931i | ||||
\(694\) | 5879.55 | − | 10183.7i | 0.321592 | − | 0.557014i | ||||
\(695\) | 1137.57 | − | 6451.48i | 0.0620870 | − | 0.352113i | ||||
\(696\) | 24754.9 | − | 4065.67i | 1.34818 | − | 0.221421i | ||||
\(697\) | −8390.96 | − | 3054.06i | −0.455998 | − | 0.165970i | ||||
\(698\) | 335.226 | + | 1901.16i | 0.0181784 | + | 0.103095i | ||||
\(699\) | 3757.74 | + | 10714.3i | 0.203335 | + | 0.579762i | ||||
\(700\) | 4375.29 | + | 3671.31i | 0.236244 | + | 0.198232i | ||||
\(701\) | −1195.09 | −0.0643909 | −0.0321955 | − | 0.999482i | \(-0.510250\pi\) | ||||
−0.0321955 | + | 0.999482i | \(0.510250\pi\) | |||||||
\(702\) | 9820.63 | + | 6141.27i | 0.527999 | + | 0.330181i | ||||
\(703\) | −8124.55 | −0.435879 | ||||||||
\(704\) | −621.746 | − | 521.707i | −0.0332854 | − | 0.0279298i | ||||
\(705\) | 7459.25 | − | 8680.39i | 0.398485 | − | 0.463720i | ||||
\(706\) | 1334.47 | + | 7568.15i | 0.0711379 | + | 0.403443i | ||||
\(707\) | −17402.8 | − | 6334.11i | −0.925743 | − | 0.336943i | ||||
\(708\) | 4979.91 | − | 13197.6i | 0.264345 | − | 0.700561i | ||||
\(709\) | −4612.68 | + | 26159.8i | −0.244334 | + | 1.38569i | 0.577700 | + | 0.816249i | \(0.303951\pi\) |
−0.822034 | + | 0.569439i | \(0.807161\pi\) | |||||||
\(710\) | 732.586 | − | 1268.88i | 0.0387232 | − | 0.0670706i | ||||
\(711\) | 12834.3 | + | 23487.4i | 0.676966 | + | 1.23888i | ||||
\(712\) | −2380.81 | − | 4123.68i | −0.125315 | − | 0.217053i | ||||
\(713\) | 5830.80 | − | 2122.24i | 0.306263 | − | 0.111470i | ||||
\(714\) | −2425.25 | − | 1438.47i | −0.127119 | − | 0.0753970i | ||||
\(715\) | 4919.38 | − | 4127.85i | 0.257307 | − | 0.215906i | ||||
\(716\) | −10953.6 | + | 9191.15i | −0.571725 | + | 0.479734i | ||||
\(717\) | −76.5764 | + | 6517.28i | −0.00398856 | + | 0.339459i | ||||
\(718\) | −5640.14 | + | 2052.84i | −0.293159 | + | 0.106701i | ||||
\(719\) | 381.663 | + | 661.059i | 0.0197964 | + | 0.0342884i | 0.875754 | − | 0.482758i | \(-0.160365\pi\) |
−0.855957 | + | 0.517046i | \(0.827032\pi\) | |||||||
\(720\) | 6534.12 | + | 2553.64i | 0.338211 | + | 0.132178i | ||||
\(721\) | −7994.02 | + | 13846.1i | −0.412917 | + | 0.715193i | ||||
\(722\) | 1261.35 | − | 7153.49i | 0.0650176 | − | 0.368733i | ||||
\(723\) | 8093.80 | + | 9879.25i | 0.416337 | + | 0.508179i | ||||
\(724\) | 4113.55 | + | 1497.21i | 0.211158 | + | 0.0768554i | ||||
\(725\) | −3270.71 | − | 18549.1i | −0.167546 | − | 0.950202i | ||||
\(726\) | −7036.15 | − | 1326.08i | −0.359692 | − | 0.0677901i | ||||
\(727\) | 26579.4 | + | 22302.8i | 1.35595 | + | 1.13778i | 0.977210 | + | 0.212273i | \(0.0680867\pi\) |
0.378739 | + | 0.925503i | \(0.376358\pi\) | |||||||
\(728\) | 15710.1 | 0.799800 | ||||||||
\(729\) | 8616.39 | + | 17696.8i | 0.437758 | + | 0.899093i | ||||
\(730\) | 8582.22 | 0.435126 | ||||||||
\(731\) | 4250.07 | + | 3566.24i | 0.215041 | + | 0.180440i | ||||
\(732\) | 7104.08 | + | 1338.89i | 0.358708 | + | 0.0676047i | ||||
\(733\) | −1176.42 | − | 6671.79i | −0.0592796 | − | 0.336191i | 0.940716 | − | 0.339195i | \(-0.110155\pi\) |
−0.999995 | + | 0.00300429i | \(0.999044\pi\) | |||||||
\(734\) | 11891.2 | + | 4328.05i | 0.597974 | + | 0.217645i | ||||
\(735\) | 4418.88 | + | 5393.67i | 0.221759 | + | 0.270678i | ||||
\(736\) | 6032.29 | − | 34210.8i | 0.302110 | − | 1.71335i | ||||
\(737\) | 1159.58 | − | 2008.45i | 0.0579561 | − | 0.100383i | ||||
\(738\) | −7143.37 | − | 2791.74i | −0.356302 | − | 0.139249i | ||||
\(739\) | 14129.7 | + | 24473.3i | 0.703340 | + | 1.21822i | 0.967287 | + | 0.253683i | \(0.0816421\pi\) |
−0.263947 | + | 0.964537i | \(0.585025\pi\) | |||||||
\(740\) | −16490.9 | + | 6002.20i | −0.819213 | + | 0.298169i | ||||
\(741\) | 103.601 | − | 8817.32i | 0.00513616 | − | 0.437129i | ||||
\(742\) | 3691.03 | − | 3097.14i | 0.182617 | − | 0.153234i | ||||
\(743\) | −8665.44 | + | 7271.17i | −0.427866 | + | 0.359022i | −0.831146 | − | 0.556055i | \(-0.812315\pi\) |
0.403280 | + | 0.915077i | \(0.367870\pi\) | |||||||
\(744\) | 2356.02 | + | 1397.41i | 0.116097 | + | 0.0688597i | ||||
\(745\) | 16409.9 | − | 5972.72i | 0.806997 | − | 0.293723i | ||||
\(746\) | −481.231 | − | 833.516i | −0.0236181 | − | 0.0409078i | ||||
\(747\) | 7447.73 | + | 13629.7i | 0.364790 | + | 0.667585i | ||||
\(748\) | 1412.88 | − | 2447.19i | 0.0690644 | − | 0.119623i | ||||
\(749\) | 3875.61 | − | 21979.7i | 0.189068 | − | 1.07226i | ||||
\(750\) | −3104.46 | + | 8227.35i | −0.151145 | + | 0.400560i | ||||
\(751\) | −2748.90 | − | 1000.52i | −0.133567 | − | 0.0486144i | 0.274372 | − | 0.961624i | \(-0.411530\pi\) |
−0.407939 | + | 0.913009i | \(0.633752\pi\) | |||||||
\(752\) | 1684.95 | + | 9555.81i | 0.0817070 | + | 0.463384i | ||||
\(753\) | −267.443 | + | 311.226i | −0.0129431 | + | 0.0150620i | ||||
\(754\) | −18043.4 | − | 15140.2i | −0.871490 | − | 0.731267i | ||||
\(755\) | −262.273 | −0.0126425 | ||||||||
\(756\) | 10290.9 | + | 6435.37i | 0.495076 | + | 0.309593i | ||||
\(757\) | 6486.15 | 0.311417 | 0.155709 | − | 0.987803i | \(-0.450234\pi\) | ||||
0.155709 | + | 0.987803i | \(0.450234\pi\) | |||||||
\(758\) | −9225.62 | − | 7741.21i | −0.442071 | − | 0.370941i | ||||
\(759\) | −4002.11 | − | 11411.1i | −0.191393 | − | 0.545714i | ||||
\(760\) | 535.124 | + | 3034.84i | 0.0255408 | + | 0.144849i | ||||
\(761\) | 1025.17 | + | 373.130i | 0.0488335 | + | 0.0177739i | 0.366321 | − | 0.930488i | \(-0.380617\pi\) |
−0.317488 | + | 0.948262i | \(0.602839\pi\) | |||||||
\(762\) | 593.943 | − | 97.5474i | 0.0282366 | − | 0.00463749i | ||||
\(763\) | −707.172 | + | 4010.57i | −0.0335535 | + | 0.190292i | ||||
\(764\) | 12068.7 | − | 20903.5i | 0.571504 | − | 0.989874i | ||||
\(765\) | −1479.39 | + | 7372.58i | −0.0699183 | + | 0.348439i | ||||
\(766\) | −5603.69 | − | 9705.88i | −0.264321 | − | 0.457817i | ||||
\(767\) | −27374.4 | + | 9963.45i | −1.28870 | + | 0.469047i | ||||
\(768\) | 5192.85 | − | 2917.29i | 0.243985 | − | 0.137068i | ||||
\(769\) | −21221.6 | + | 17807.0i | −0.995150 | + | 0.835030i | −0.986305 | − | 0.164931i | \(-0.947260\pi\) |
−0.00884496 | + | 0.999961i | \(0.502815\pi\) | |||||||
\(770\) | −1028.62 | + | 863.112i | −0.0481413 | + | 0.0403953i | ||||
\(771\) | −1473.15 | + | 827.603i | −0.0688124 | + | 0.0386581i | ||||
\(772\) | −13178.7 | + | 4796.64i | −0.614392 | + | 0.223620i | ||||
\(773\) | 17910.5 | + | 31021.9i | 0.833371 | + | 1.44344i | 0.895349 | + | 0.445364i | \(0.146926\pi\) |
−0.0619780 | + | 0.998078i | \(0.519741\pi\) | |||||||
\(774\) | 3577.41 | + | 3147.96i | 0.166133 | + | 0.146190i | ||||
\(775\) | 1028.34 | − | 1781.13i | 0.0476632 | − | 0.0825551i | ||||
\(776\) | −1395.05 | + | 7911.70i | −0.0645351 | + | 0.365997i | ||||
\(777\) | −22789.6 | + | 3742.89i | −1.05222 | + | 0.172813i | ||||
\(778\) | −7255.88 | − | 2640.93i | −0.334365 | − | 0.121699i | ||||
\(779\) | 1013.90 | + | 5750.10i | 0.0466324 | + | 0.264465i | ||||
\(780\) | −6303.72 | − | 17973.6i | −0.289371 | − | 0.825075i | ||||
\(781\) | 1480.22 | + | 1242.05i | 0.0678185 | + | 0.0569065i | ||||
\(782\) | 8332.45 | 0.381033 | ||||||||
\(783\) | −12355.8 | − | 38071.5i | −0.563935 | − | 1.73763i | ||||
\(784\) | −5911.49 | −0.269292 | ||||||||
\(785\) | 11025.2 | + | 9251.28i | 0.501284 | + | 0.420627i | ||||
\(786\) | 701.706 | − | 816.581i | 0.0318435 | − | 0.0370566i | ||||
\(787\) | −5255.84 | − | 29807.4i | −0.238057 | − | 1.35009i | −0.836080 | − | 0.548608i | \(-0.815158\pi\) |
0.598023 | − | 0.801479i | \(-0.295953\pi\) | |||||||
\(788\) | 28759.4 | + | 10467.6i | 1.30014 | + | 0.473213i | ||||
\(789\) | 7921.23 | − | 20992.6i | 0.357419 | − | 0.947222i | ||||
\(790\) | −1525.05 | + | 8648.96i | −0.0686819 | + | 0.389514i | ||||
\(791\) | −3455.98 | + | 5985.94i | −0.155348 | + | 0.269071i | ||||
\(792\) | 2777.09 | − | 4559.19i | 0.124595 | − | 0.204550i | ||||
\(793\) | −7464.72 | − | 12929.3i | −0.334275 | − | 0.578981i | ||||
\(794\) | 9400.59 | − | 3421.53i | 0.420169 | − | 0.152929i | ||||
\(795\) | −11051.4 | − | 6554.85i | −0.493022 | − | 0.292423i | ||||
\(796\) | 10044.9 | − | 8428.69i | 0.447278 | − | 0.375311i | ||||
\(797\) | −8667.60 | + | 7272.98i | −0.385222 | + | 0.323240i | −0.814749 | − | 0.579814i | \(-0.803125\pi\) |
0.429526 | + | 0.903054i | \(0.358681\pi\) | |||||||
\(798\) | −21.6625 | + | 1843.65i | −0.000960957 | + | 0.0817853i | ||||
\(799\) | −9773.29 | + | 3557.19i | −0.432734 | + | 0.157502i | ||||
\(800\) | −5757.12 | − | 9971.63i | −0.254431 | − | 0.440688i | ||||
\(801\) | −5933.01 | + | 4745.36i | −0.261714 | + | 0.209325i | ||||
\(802\) | −4204.22 | + | 7281.93i | −0.185108 | + | 0.320616i | ||||
\(803\) | −1965.41 | + | 11146.4i | −0.0863732 | + | 0.489847i | ||||
\(804\) | −4359.27 | − | 5320.90i | −0.191218 | − | 0.233400i | ||||
\(805\) | 18646.4 | + | 6786.72i | 0.816395 | + | 0.297144i | ||||
\(806\) | −446.611 | − | 2532.86i | −0.0195176 | − | 0.110690i | ||||
\(807\) | −8125.52 | − | 1531.39i | −0.354438 | − | 0.0668000i | ||||
\(808\) | 18507.2 | + | 15529.4i | 0.805794 | + | 0.676141i | ||||
\(809\) | −19833.4 | −0.861935 | −0.430967 | − | 0.902368i | \(-0.641828\pi\) | ||||
−0.430967 | + | 0.902368i | \(0.641828\pi\) | |||||||
\(810\) | −1419.08 | + | 6300.70i | −0.0615574 | + | 0.273313i | ||||
\(811\) | −21920.8 | −0.949129 | −0.474564 | − | 0.880221i | \(-0.657394\pi\) | ||||
−0.474564 | + | 0.880221i | \(0.657394\pi\) | |||||||
\(812\) | −18907.6 | − | 15865.3i | −0.817149 | − | 0.685669i | ||||
\(813\) | 10054.4 | + | 1894.93i | 0.433733 | + | 0.0817444i | ||||
\(814\) | 801.933 | + | 4547.99i | 0.0345304 | + | 0.195832i | ||||
\(815\) | −10468.1 | − | 3810.07i | −0.449915 | − | 0.163756i | ||||
\(816\) | −4040.19 | − | 4931.44i | −0.173327 | − | 0.211562i | ||||
\(817\) | 629.956 | − | 3572.66i | 0.0269760 | − | 0.152988i | ||||
\(818\) | 2431.75 | − | 4211.92i | 0.103942 | − | 0.180032i | ||||
\(819\) | −3771.44 | − | 24780.6i | −0.160909 | − | 1.05727i | ||||
\(820\) | 6305.99 | + | 10922.3i | 0.268555 | + | 0.465150i | ||||
\(821\) | 35467.4 | − | 12909.1i | 1.50770 | − | 0.548758i | 0.549658 | − | 0.835389i | \(-0.314758\pi\) |
0.958041 | + | 0.286632i | \(0.0925356\pi\) | |||||||
\(822\) | −127.275 | + | 10832.1i | −0.00540051 | + | 0.459628i | ||||
\(823\) | −13193.9 | + | 11071.0i | −0.558822 | + | 0.468907i | −0.877915 | − | 0.478816i | \(-0.841066\pi\) |
0.319093 | + | 0.947723i | \(0.396622\pi\) | |||||||
\(824\) | 15977.3 | − | 13406.5i | 0.675478 | − | 0.566794i | ||||
\(825\) | −3447.36 | − | 2044.71i | −0.145481 | − | 0.0862880i | ||||
\(826\) | 5723.83 | − | 2083.30i | 0.241111 | − | 0.0877572i | ||||
\(827\) | −12200.9 | − | 21132.6i | −0.513020 | − | 0.888577i | −0.999886 | − | 0.0151005i | \(-0.995193\pi\) |
0.486866 | − | 0.873477i | \(-0.338140\pi\) | |||||||
\(828\) | −35856.5 | − | 842.727i | −1.50495 | − | 0.0353705i | ||||
\(829\) | 12405.1 | − | 21486.2i | 0.519718 | − | 0.900179i | −0.480019 | − | 0.877258i | \(-0.659370\pi\) |
0.999737 | − | 0.0229206i | \(-0.00729649\pi\) | |||||||
\(830\) | −884.984 | + | 5018.99i | −0.0370099 | + | 0.209894i | ||||
\(831\) | 3315.49 | − | 8786.64i | 0.138403 | − | 0.366793i | ||||
\(832\) | 4671.66 | + | 1700.34i | 0.194664 | + | 0.0708520i | ||||
\(833\) | −1100.29 | − | 6240.04i | −0.0457655 | − | 0.259549i | ||||
\(834\) | −3332.45 | + | 3878.00i | −0.138361 | + | 0.161012i | ||||
\(835\) | −11009.8 | − | 9238.34i | −0.456300 | − | 0.382881i | ||||
\(836\) | −1847.71 | −0.0764408 | ||||||||
\(837\) | 1638.63 | − | 4051.78i | 0.0676696 | − | 0.167324i | ||||
\(838\) | −4194.16 | −0.172893 | ||||||||
\(839\) | 25232.8 | + | 21172.9i | 1.03830 | + | 0.871238i | 0.991815 | − | 0.127681i | \(-0.0407535\pi\) |
0.0464853 | + | 0.998919i | \(0.485198\pi\) | |||||||
\(840\) | 2899.15 | + | 8266.28i | 0.119084 | + | 0.339540i | ||||
\(841\) | 9899.06 | + | 56140.3i | 0.405882 | + | 2.30187i | ||||
\(842\) | −3822.91 | − | 1391.42i | −0.156468 | − | 0.0569497i | ||||
\(843\) | −15086.5 | + | 2477.77i | −0.616380 | + | 0.101232i | ||||
\(844\) | 683.800 | − | 3878.02i | 0.0278879 | − | 0.158160i | ||||
\(845\) | −11231.3 | + | 19453.2i | −0.457242 | + | 0.791966i | ||||
\(846\) | −8463.74 | + | 2857.19i | −0.343959 | + | 0.116114i | ||||
\(847\) | 7747.42 | + | 13418.9i | 0.314291 | + | 0.544368i | ||||
\(848\) | 10236.6 | − | 3725.82i | 0.414536 | − | 0.150879i | ||||
\(849\) | 8624.80 | − | 4845.32i | 0.348648 | − | 0.195867i | ||||
\(850\) | 2115.68 | − | 1775.27i | 0.0853732 | − | 0.0716366i | ||||
\(851\) | 52279.4 | − | 43867.6i | 2.10589 | − | 1.76705i | ||||
\(852\) | 4996.63 | − | 2807.06i | 0.200918 | − | 0.112873i | ||||
\(853\) | −15961.4 | + | 5809.48i | −0.640690 | + | 0.233192i | −0.641878 | − | 0.766807i | \(-0.721844\pi\) |
0.00118739 | + | 0.999999i | \(0.499622\pi\) | |||||||
\(854\) | 1560.83 | + | 2703.44i | 0.0625417 | + | 0.108325i | ||||
\(855\) | 4658.59 | − | 1572.64i | 0.186339 | − | 0.0629044i | ||||
\(856\) | −14557.7 | + | 25214.7i | −0.581276 | + | 1.00680i | ||||
\(857\) | −1376.16 | + | 7804.60i | −0.0548527 | + | 0.311085i | −0.999873 | − | 0.0159261i | \(-0.994930\pi\) |
0.945020 | + | 0.327011i | \(0.106041\pi\) | |||||||
\(858\) | −4946.02 | + | 812.319i | −0.196800 | + | 0.0323218i | ||||
\(859\) | −37994.1 | − | 13828.7i | −1.50913 | − | 0.549278i | −0.550722 | − | 0.834688i | \(-0.685648\pi\) |
−0.958405 | + | 0.285411i | \(0.907870\pi\) | |||||||
\(860\) | −1360.72 | − | 7717.05i | −0.0539538 | − | 0.305987i | ||||
\(861\) | 5493.02 | + | 15662.1i | 0.217423 | + | 0.619933i | ||||
\(862\) | 1084.84 | + | 910.286i | 0.0428651 | + | 0.0359681i | ||||
\(863\) | −7710.61 | −0.304139 | −0.152070 | − | 0.988370i | \(-0.548594\pi\) | ||||
−0.152070 | + | 0.988370i | \(0.548594\pi\) | |||||||
\(864\) | −15057.8 | − | 19286.7i | −0.592913 | − | 0.759428i | ||||
\(865\) | 6519.36 | 0.256260 | ||||||||
\(866\) | 11573.7 | + | 9711.46i | 0.454145 | + | 0.381073i | ||||
\(867\) | −12184.6 | + | 14179.4i | −0.477292 | + | 0.555428i | ||||
\(868\) | −468.000 | − | 2654.16i | −0.0183006 | − | 0.103788i | ||||
\(869\) | −10883.8 | − | 3961.38i | −0.424865 | − | 0.154638i | ||||
\(870\) | 4636.69 | − | 12288.0i | 0.180688 | − | 0.478854i | ||||
\(871\) | −2466.76 | + | 13989.7i | −0.0959621 | + | 0.544228i | ||||
\(872\) | 2656.31 | − | 4600.86i | 0.103158 | − | 0.178675i | ||||
\(873\) | 12814.6 | + | 301.177i | 0.496801 | + | 0.0116762i | ||||
\(874\) | −2724.21 | − | 4718.47i | −0.105432 | − | 0.182614i | ||||
\(875\) | 17882.3 | − | 6508.63i | 0.690894 | − | 0.251465i | ||||
\(876\) | 28873.3 | + | 17125.4i | 1.11363 | + | 0.660519i | ||||
\(877\) | 28888.1 | − | 24240.0i | 1.11229 | − | 0.933326i | 0.114104 | − | 0.993469i | \(-0.463600\pi\) |
0.998190 | + | 0.0601432i | \(0.0191557\pi\) | |||||||
\(878\) | −1401.20 | + | 1175.74i | −0.0538589 | + | 0.0451930i | ||||
\(879\) | 137.076 | − | 11666.3i | 0.00525990 | − | 0.447661i | ||||
\(880\) | −2852.74 | + | 1038.31i | −0.109279 | + | 0.0397744i | ||||
\(881\) | 7285.02 | + | 12618.0i | 0.278591 | + | 0.482533i | 0.971035 | − | 0.238938i | \(-0.0767994\pi\) |
−0.692444 | + | 0.721472i | \(0.743466\pi\) | |||||||
\(882\) | −818.845 | − | 5380.29i | −0.0312607 | − | 0.205401i | ||||
\(883\) | −4163.74 | + | 7211.81i | −0.158688 | + | 0.274855i | −0.934396 | − | 0.356237i | \(-0.884060\pi\) |
0.775708 | + | 0.631092i | \(0.217393\pi\) | |||||||
\(884\) | −3005.61 | + | 17045.7i | −0.114355 | + | 0.648539i | ||||
\(885\) | −10294.2 | − | 12565.1i | −0.391002 | − | 0.477255i | ||||
\(886\) | 19270.4 | + | 7013.87i | 0.730703 | + | 0.265954i | ||||
\(887\) | 5420.97 | + | 30743.8i | 0.205207 | + | 1.16379i | 0.897114 | + | 0.441799i | \(0.145659\pi\) |
−0.691907 | + | 0.721986i | \(0.743229\pi\) | |||||||
\(888\) | 29606.7 | + | 5579.89i | 1.11885 | + | 0.210866i | ||||
\(889\) | −997.817 | − | 837.268i | −0.0376442 | − | 0.0315872i | ||||
\(890\) | −2492.88 | −0.0938894 | ||||||||
\(891\) | −7858.20 | − | 3285.98i | −0.295465 | − | 0.123552i | ||||
\(892\) | 28632.0 | 1.07474 | ||||||||
\(893\) | 5209.63 | + | 4371.40i | 0.195222 | + | 0.163811i | ||||
\(894\) | −13394.3 | − | 2524.39i | −0.501088 | − | 0.0944386i | ||||
\(895\) | 2859.25 | + | 16215.6i | 0.106787 | + | 0.605617i | ||||
\(896\) | −17984.5 | − | 6545.83i | −0.670558 | − | 0.244063i | ||||
\(897\) | 46941.6 | + | 57296.7i | 1.74731 | + | 2.13275i | ||||
\(898\) | −147.313 | + | 835.454i | −0.00547428 | + | 0.0310462i | ||||
\(899\) | −4443.90 | + | 7697.05i | −0.164863 | + | 0.285552i | ||||
\(900\) | −9283.82 | + | 7425.42i | −0.343845 | + | 0.275015i | ||||
\(901\) | 5838.21 | + | 10112.1i | 0.215870 | + | 0.373898i | ||||
\(902\) | 3118.73 | − | 1135.13i | 0.115125 | − | 0.0419020i | ||||
\(903\) | 121.159 | − | 10311.6i | 0.00446503 | − | 0.380010i | ||||
\(904\) | 6907.31 | − | 5795.92i | 0.254130 | − | 0.213240i | ||||
\(905\) | 3861.56 | − | 3240.24i | 0.141837 | − | 0.119016i | ||||
\(906\) | 176.067 | + | 104.429i | 0.00645632 | + | 0.00382939i | ||||
\(907\) | −14476.0 | + | 5268.84i | −0.529954 | + | 0.192888i | −0.593118 | − | 0.805116i | \(-0.702103\pi\) |
0.0631638 | + | 0.998003i | \(0.479881\pi\) | |||||||
\(908\) | −14578.3 | − | 25250.4i | −0.532818 | − | 0.922868i | ||||
\(909\) | 20052.6 | − | 32920.7i | 0.731687 | − | 1.20122i | ||||
\(910\) | 4112.40 | − | 7122.89i | 0.149808 | − | 0.259474i | ||||
\(911\) | −4251.19 | + | 24109.7i | −0.154608 | + | 0.876828i | 0.804534 | + | 0.593906i | \(0.202415\pi\) |
−0.959143 | + | 0.282922i | \(0.908696\pi\) | |||||||
\(912\) | −1471.66 | + | 3900.15i | −0.0534336 | + | 0.141608i | ||||
\(913\) | −6315.87 | − | 2298.79i | −0.228943 | − | 0.0833284i | ||||
\(914\) | 2586.31 | + | 14667.7i | 0.0935968 | + | 0.530814i | ||||
\(915\) | 5425.53 | − | 6313.74i | 0.196025 | − | 0.228116i | ||||
\(916\) | −30171.4 | − | 25316.8i | −1.08831 | − | 0.913200i | ||||
\(917\) | −2329.97 | −0.0839067 | ||||||||
\(918\) | 3928.67 | − | 4360.24i | 0.141248 | − | 0.156764i | ||||
\(919\) | −8583.14 | −0.308087 | −0.154043 | − | 0.988064i | \(-0.549230\pi\) | ||||
−0.154043 | + | 0.988064i | \(0.549230\pi\) | |||||||
\(920\) | −19829.7 | − | 16639.1i | −0.710614 | − | 0.596276i | ||||
\(921\) | 5644.69 | + | 16094.6i | 0.201953 | + | 0.575824i | ||||
\(922\) | −2440.99 | − | 13843.5i | −0.0871905 | − | 0.494482i | ||||
\(923\) | −11122.0 | − | 4048.08i | −0.396625 | − | 0.144360i | ||||
\(924\) | −5182.89 | + | 851.221i | −0.184529 | + | 0.0303064i | ||||
\(925\) | 3927.99 | − | 22276.7i | 0.139623 | − | 0.791843i | ||||
\(926\) | −10085.8 | + | 17469.1i | −0.357926 | + | 0.619946i | ||||
\(927\) | −24982.6 | − | 21983.6i | −0.885151 | − | 0.778894i | ||||
\(928\) | 24879.1 | + | 43091.8i | 0.880059 | + | 1.52431i | ||||
\(929\) | 14003.0 | − | 5096.66i | 0.494534 | − | 0.179996i | −0.0826997 | − | 0.996575i | \(-0.526354\pi\) |
0.577234 | + | 0.816579i | \(0.304132\pi\) | |||||||
\(930\) | 1250.31 | − | 702.412i | 0.0440853 | − | 0.0247667i | ||||
\(931\) | −3173.86 | + | 2663.18i | −0.111728 | + | 0.0937511i | ||||
\(932\) | −11163.6 | + | 9367.38i | −0.392356 | + | 0.329226i | ||||
\(933\) | 2463.49 | − | 1383.96i | 0.0864426 | − | 0.0485625i | ||||
\(934\) | −5414.15 | + | 1970.59i | −0.189675 | + | 0.0690360i | ||||
\(935\) | −1626.99 | − | 2818.03i | −0.0569073 | − | 0.0985664i | ||||
\(936\) | −6433.22 | + | 32060.1i | −0.224654 | + | 1.11957i | ||||
\(937\) | −8694.72 | + | 15059.7i | −0.303142 | + | 0.525057i | −0.976846 | − | 0.213944i | \(-0.931369\pi\) |
0.673704 | + | 0.739001i | \(0.264702\pi\) | |||||||
\(938\) | 515.786 | − | 2925.17i | 0.0179542 | − | 0.101823i | ||||
\(939\) | −24832.4 | + | 4078.40i | −0.863020 | + | 0.141740i | ||||
\(940\) | 13803.8 | + | 5024.17i | 0.478968 | + | 0.174330i | ||||
\(941\) | −5316.60 | − | 30152.0i | −0.184183 | − | 1.04455i | −0.927000 | − | 0.375060i | \(-0.877622\pi\) |
0.742817 | − | 0.669494i | \(-0.233489\pi\) | |||||||
\(942\) | −3717.78 | − | 10600.4i | −0.128590 | − | 0.366645i | ||||
\(943\) | −37571.2 | − | 31526.0i | −1.29744 | − | 1.08868i | ||||
\(944\) | 13771.4 | 0.474810 | ||||||||
\(945\) | 12343.0 | − | 6557.47i | 0.424885 | − | 0.225730i | ||||
\(946\) | −2062.10 | −0.0708716 | ||||||||
\(947\) | −32615.3 | − | 27367.5i | −1.11917 | − | 0.939097i | −0.120609 | − | 0.992700i | \(-0.538485\pi\) |
−0.998562 | + | 0.0536035i | \(0.982929\pi\) | |||||||
\(948\) | −22389.3 | + | 26054.7i | −0.767059 | + | 0.892633i | ||||
\(949\) | −12038.7 | − | 68274.7i | −0.411793 | − | 2.33539i | ||||
\(950\) | −1696.99 | − | 617.654i | −0.0579554 | − | 0.0210940i | ||||
\(951\) | 2679.14 | − | 7100.20i | 0.0913535 | − | 0.242103i | ||||
\(952\) | 1382.32 | − | 7839.51i | 0.0470600 | − | 0.266891i | ||||
\(953\) | −12976.1 | + | 22475.2i | −0.441066 | + | 0.763949i | −0.997769 | − | 0.0667628i | \(-0.978733\pi\) |
0.556703 | + | 0.830712i | \(0.312066\pi\) | |||||||
\(954\) | 4808.98 | + | 8800.67i | 0.163204 | + | 0.298671i | ||||
\(955\) | −13897.5 | − | 24071.2i | −0.470904 | − | 0.815630i | ||||
\(956\) | −7860.97 | + | 2861.16i | −0.265943 | + | 0.0967954i | ||||
\(957\) | 14897.5 | + | 8836.08i | 0.503207 | + | 0.298464i | ||||
\(958\) | 11227.2 | − | 9420.72i | 0.378637 | − | 0.317714i | ||||
\(959\) | 17958.5 | − | 15069.0i | 0.604703 | − | 0.507406i | ||||
\(960\) | −32.5691 | + | 2771.90i | −0.00109496 | + | 0.0931903i | ||||
\(961\) | 27082.4 | − | 9857.20i | 0.909081 | − | 0.330878i | ||||
\(962\) | −14143.7 | − | 24497.7i | −0.474025 | − | 0.821036i | ||||
\(963\) | 43267.6 | + | 16909.7i | 1.44785 | + | 0.565843i | ||||
\(964\) | −8196.02 | + | 14195.9i | −0.273834 | + | 0.474294i | ||||
\(965\) | −2804.37 | + | 15904.3i | −0.0935500 | + | 0.530548i | ||||
\(966\) | −9815.23 | − | 11980.4i | −0.326915 | − | 0.399031i | ||||
\(967\) | 22892.5 | + | 8332.21i | 0.761298 | + | 0.277090i | 0.693352 | − | 0.720599i | \(-0.256133\pi\) |
0.0679459 | + | 0.997689i | \(0.478355\pi\) | |||||||
\(968\) | −3510.02 | − | 19906.3i | −0.116546 | − | 0.660965i | ||||
\(969\) | −4390.83 | − | 827.527i | −0.145566 | − | 0.0274345i | ||||
\(970\) | 3221.96 | + | 2703.54i | 0.106650 | + | 0.0894902i | ||||
\(971\) | −45135.5 | −1.49173 | −0.745863 | − | 0.666100i | \(-0.767963\pi\) | ||||
−0.745863 | + | 0.666100i | \(0.767963\pi\) | |||||||
\(972\) | −17347.0 | + | 18365.8i | −0.572433 | + | 0.606053i | ||||
\(973\) | 11065.2 | 0.364578 | ||||||||
\(974\) | −7286.48 | − | 6114.08i | −0.239706 | − | 0.201137i | ||||
\(975\) | 24126.2 | + | 4546.99i | 0.792468 | + | 0.149354i | ||||
\(976\) | 1225.56 | + | 6950.48i | 0.0401938 | + | 0.227950i | ||||
\(977\) | 20539.4 | + | 7475.72i | 0.672582 | + | 0.244800i | 0.655659 | − | 0.755057i | \(-0.272391\pi\) |
0.0169227 | + | 0.999857i | \(0.494613\pi\) | |||||||
\(978\) | 5510.27 | + | 6725.81i | 0.180163 | + | 0.219906i | ||||
\(979\) | 570.892 | − | 3237.69i | 0.0186372 | − | 0.105697i | ||||
\(980\) | −4474.69 | + | 7750.40i | −0.145856 | + | 0.252630i | ||||
\(981\) | −7894.92 | − | 3085.46i | −0.256947 | − | 0.100419i | ||||
\(982\) | 9417.31 | + | 16311.3i | 0.306027 | + | 0.530054i | ||||
\(983\) | 27661.4 | − | 10067.9i | 0.897521 | − | 0.326671i | 0.148262 | − | 0.988948i | \(-0.452632\pi\) |
0.749259 | + | 0.662277i | \(0.230410\pi\) | |||||||
\(984\) | 254.386 | − | 21650.3i | 0.00824138 | − | 0.701408i | ||||
\(985\) | 26997.7 | − | 22653.8i | 0.873319 | − | 0.732802i | ||||
\(986\) | −9142.78 | + | 7671.70i | −0.295300 | + | 0.247786i | ||||
\(987\) | 16627.0 | + | 9861.87i | 0.536214 | + | 0.318041i | ||||
\(988\) | 10635.2 | − | 3870.90i | 0.342461 | − | 0.124646i | ||||
\(989\) | 15236.6 | + | 26390.6i | 0.489884 | + | 0.848505i | ||||
\(990\) | −1340.17 | − | 2452.57i | −0.0430235 | − | 0.0787352i | ||||
\(991\) | 2399.25 | − | 4155.62i | 0.0769068 | − | 0.133206i | −0.825007 | − | 0.565122i | \(-0.808829\pi\) |
0.901914 | + | 0.431916i | \(0.142162\pi\) | |||||||
\(992\) | −943.470 | + | 5350.68i | −0.0301968 | + | 0.171254i | ||||
\(993\) | −7587.30 | + | 20107.7i | −0.242473 | + | 0.642596i | ||||
\(994\) | 2325.55 | + | 846.431i | 0.0742072 | + | 0.0270092i | ||||
\(995\) | −2622.06 | − | 14870.4i | −0.0835425 | − | 0.473793i | ||||
\(996\) | −12992.5 | + | 15119.5i | −0.413337 | + | 0.481004i | ||||
\(997\) | −5408.95 | − | 4538.65i | −0.171819 | − | 0.144173i | 0.552823 | − | 0.833299i | \(-0.313550\pi\) |
−0.724642 | + | 0.689125i | \(0.757995\pi\) | |||||||
\(998\) | −16416.7 | −0.520703 | ||||||||
\(999\) | 1694.00 | − | 48040.1i | 0.0536496 | − | 1.52144i |
(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 | 27.4.e.a.16.4 | ✓ | 48 | |
3.2 | odd | 2 | 81.4.e.a.46.5 | 48 | |||
9.2 | odd | 6 | 243.4.e.a.217.5 | 48 | |||
9.4 | even | 3 | 243.4.e.c.55.5 | 48 | |||
9.5 | odd | 6 | 243.4.e.b.55.4 | 48 | |||
9.7 | even | 3 | 243.4.e.d.217.4 | 48 | |||
27.4 | even | 9 | 243.4.e.d.28.4 | 48 | |||
27.5 | odd | 18 | 81.4.e.a.37.5 | 48 | |||
27.7 | even | 9 | 729.4.a.d.1.10 | 24 | |||
27.13 | even | 9 | 243.4.e.c.190.5 | 48 | |||
27.14 | odd | 18 | 243.4.e.b.190.4 | 48 | |||
27.20 | odd | 18 | 729.4.a.c.1.15 | 24 | |||
27.22 | even | 9 | inner | 27.4.e.a.22.4 | yes | 48 | |
27.23 | odd | 18 | 243.4.e.a.28.5 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
27.4.e.a.16.4 | ✓ | 48 | 1.1 | even | 1 | trivial | |
27.4.e.a.22.4 | yes | 48 | 27.22 | even | 9 | inner | |
81.4.e.a.37.5 | 48 | 27.5 | odd | 18 | |||
81.4.e.a.46.5 | 48 | 3.2 | odd | 2 | |||
243.4.e.a.28.5 | 48 | 27.23 | odd | 18 | |||
243.4.e.a.217.5 | 48 | 9.2 | odd | 6 | |||
243.4.e.b.55.4 | 48 | 9.5 | odd | 6 | |||
243.4.e.b.190.4 | 48 | 27.14 | odd | 18 | |||
243.4.e.c.55.5 | 48 | 9.4 | even | 3 | |||
243.4.e.c.190.5 | 48 | 27.13 | even | 9 | |||
243.4.e.d.28.4 | 48 | 27.4 | even | 9 | |||
243.4.e.d.217.4 | 48 | 9.7 | even | 3 | |||
729.4.a.c.1.15 | 24 | 27.20 | odd | 18 | |||
729.4.a.d.1.10 | 24 | 27.7 | even | 9 |