Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [143,4,Mod(2,143)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(143, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([6, 5]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("143.2");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 143 = 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 143.w (of order \(60\), degree \(16\), 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: | \(8.43727313082\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 2.20 | ||
Character | \(\chi\) | \(=\) | 143.2 |
Dual form | 143.4.w.a.72.20 |
$q$-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 \(\left(\mathbb{Z}/143\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) |
\(\chi(n)\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.257450 | − | 0.167190i | −0.0910222 | − | 0.0591105i | 0.498325 | − | 0.866990i | \(-0.333948\pi\) |
−0.589348 | + | 0.807880i | \(0.700615\pi\) | |||||||
\(3\) | −4.17549 | − | 1.85905i | −0.803573 | − | 0.357774i | −0.0365001 | − | 0.999334i | \(-0.511621\pi\) |
−0.767073 | + | 0.641560i | \(0.778288\pi\) | |||||||
\(4\) | −3.21557 | − | 7.22228i | −0.401946 | − | 0.902785i | ||||
\(5\) | −8.58006 | − | 4.37176i | −0.767424 | − | 0.391022i | 0.0260234 | − | 0.999661i | \(-0.491716\pi\) |
−0.793447 | + | 0.608640i | \(0.791716\pi\) | |||||||
\(6\) | 0.764164 | + | 1.17671i | 0.0519948 | + | 0.0800650i | ||||
\(7\) | 1.42206 | − | 3.70460i | 0.0767842 | − | 0.200030i | −0.889816 | − | 0.456320i | \(-0.849167\pi\) |
0.966600 | + | 0.256291i | \(0.0825004\pi\) | |||||||
\(8\) | −0.763815 | + | 4.82254i | −0.0337562 | + | 0.213128i | ||||
\(9\) | −4.08788 | − | 4.54005i | −0.151403 | − | 0.168150i | ||||
\(10\) | 1.47802 | + | 2.56000i | 0.0467391 | + | 0.0809544i | ||||
\(11\) | −6.00052 | + | 35.9860i | −0.164475 | + | 0.986381i | ||||
\(12\) | 36.1344i | 0.869259i | ||||||||
\(13\) | 27.4710 | − | 37.9782i | 0.586084 | − | 0.810250i | ||||
\(14\) | −0.985481 | + | 0.715994i | −0.0188129 | + | 0.0136684i | ||||
\(15\) | 27.6986 | + | 34.2049i | 0.476783 | + | 0.588779i | ||||
\(16\) | −41.3170 | + | 45.8872i | −0.645578 | + | 0.716987i | ||||
\(17\) | 97.4063 | + | 20.7043i | 1.38968 | + | 0.295385i | 0.841174 | − | 0.540764i | \(-0.181865\pi\) |
0.548502 | + | 0.836149i | \(0.315198\pi\) | |||||||
\(18\) | 0.293373 | + | 1.85229i | 0.00384160 | + | 0.0242549i | ||||
\(19\) | −79.8380 | + | 98.5917i | −0.964005 | + | 1.19045i | 0.0176626 | + | 0.999844i | \(0.494378\pi\) |
−0.981667 | + | 0.190603i | \(0.938956\pi\) | |||||||
\(20\) | −3.98431 | + | 76.0252i | −0.0445460 | + | 0.849988i | ||||
\(21\) | −12.8248 | + | 12.8248i | −0.133267 | + | 0.133267i | ||||
\(22\) | 7.56133 | − | 8.26136i | 0.0732764 | − | 0.0800604i | ||||
\(23\) | −4.06745 | + | 2.34835i | −0.0368749 | + | 0.0212897i | −0.518324 | − | 0.855184i | \(-0.673444\pi\) |
0.481449 | + | 0.876474i | \(0.340111\pi\) | |||||||
\(24\) | 12.1546 | − | 18.7165i | 0.103377 | − | 0.159187i | ||||
\(25\) | −18.9681 | − | 26.1073i | −0.151744 | − | 0.208858i | ||||
\(26\) | −13.4220 | + | 5.18460i | −0.101241 | + | 0.0391070i | ||||
\(27\) | 46.7637 | + | 143.924i | 0.333321 | + | 1.02586i | ||||
\(28\) | −31.3284 | + | 1.64185i | −0.211447 | + | 0.0110815i | ||||
\(29\) | −34.2202 | − | 3.59669i | −0.219122 | − | 0.0230306i | −0.00566871 | − | 0.999984i | \(-0.501804\pi\) |
−0.213453 | + | 0.976953i | \(0.568471\pi\) | |||||||
\(30\) | −1.41228 | − | 13.4370i | −0.00859488 | − | 0.0817748i | ||||
\(31\) | −23.6008 | − | 46.3192i | −0.136736 | − | 0.268360i | 0.812477 | − | 0.582993i | \(-0.198119\pi\) |
−0.949213 | + | 0.314633i | \(0.898119\pi\) | |||||||
\(32\) | 56.0391 | − | 15.0156i | 0.309575 | − | 0.0829505i | ||||
\(33\) | 91.9548 | − | 139.104i | 0.485069 | − | 0.733784i | ||||
\(34\) | −21.6157 | − | 21.6157i | −0.109031 | − | 0.109031i | ||||
\(35\) | −28.3970 | + | 25.5688i | −0.137142 | + | 0.123483i | ||||
\(36\) | −19.6447 | + | 44.1227i | −0.0909476 | + | 0.204272i | ||||
\(37\) | −306.642 | + | 248.314i | −1.36248 | + | 1.10331i | −0.378385 | + | 0.925648i | \(0.623520\pi\) |
−0.984091 | + | 0.177663i | \(0.943146\pi\) | |||||||
\(38\) | 37.0378 | − | 12.0343i | 0.158114 | − | 0.0513743i | ||||
\(39\) | −185.308 | + | 107.508i | −0.760848 | + | 0.441410i | ||||
\(40\) | 27.6365 | − | 38.0384i | 0.109243 | − | 0.150360i | ||||
\(41\) | −103.654 | − | 270.029i | −0.394831 | − | 1.02857i | −0.976571 | − | 0.215195i | \(-0.930961\pi\) |
0.581740 | − | 0.813375i | \(-0.302372\pi\) | |||||||
\(42\) | 5.44593 | − | 1.15757i | 0.0200077 | − | 0.00425278i | ||||
\(43\) | 104.962 | − | 181.799i | 0.372245 | − | 0.644747i | −0.617666 | − | 0.786441i | \(-0.711921\pi\) |
0.989911 | + | 0.141694i | \(0.0452548\pi\) | |||||||
\(44\) | 279.196 | − | 72.3779i | 0.956600 | − | 0.247986i | ||||
\(45\) | 15.2263 | + | 56.8251i | 0.0504399 | + | 0.188244i | ||||
\(46\) | 1.43978 | + | 0.0754559i | 0.00461488 | + | 0.000241856i | ||||
\(47\) | 311.073 | + | 49.2690i | 0.965417 | + | 0.152907i | 0.619188 | − | 0.785243i | \(-0.287462\pi\) |
0.346229 | + | 0.938150i | \(0.387462\pi\) | |||||||
\(48\) | 257.825 | − | 114.791i | 0.775288 | − | 0.345181i | ||||
\(49\) | 243.197 | + | 218.975i | 0.709029 | + | 0.638412i | ||||
\(50\) | 0.518448 | + | 9.89258i | 0.00146639 | + | 0.0279804i | ||||
\(51\) | −368.228 | − | 267.534i | −1.01103 | − | 0.734553i | ||||
\(52\) | −362.624 | − | 76.2821i | −0.967056 | − | 0.203431i | ||||
\(53\) | −95.1586 | + | 292.868i | −0.246623 | + | 0.759028i | 0.748742 | + | 0.662862i | \(0.230658\pi\) |
−0.995365 | + | 0.0961668i | \(0.969342\pi\) | |||||||
\(54\) | 12.0233 | − | 44.8715i | 0.0302993 | − | 0.113079i | ||||
\(55\) | 208.807 | − | 282.529i | 0.511919 | − | 0.692659i | ||||
\(56\) | 16.7794 | + | 9.68757i | 0.0400400 | + | 0.0231171i | ||||
\(57\) | 516.649 | − | 263.246i | 1.20056 | − | 0.611715i | ||||
\(58\) | 8.20865 | + | 6.64724i | 0.0185836 | + | 0.0150487i | ||||
\(59\) | −579.548 | − | 222.468i | −1.27883 | − | 0.490895i | −0.378294 | − | 0.925686i | \(-0.623489\pi\) |
−0.900532 | + | 0.434791i | \(0.856822\pi\) | |||||||
\(60\) | 157.971 | − | 310.035i | 0.339899 | − | 0.667090i | ||||
\(61\) | 39.0572 | − | 183.749i | 0.0819796 | − | 0.385684i | −0.917960 | − | 0.396673i | \(-0.870165\pi\) |
0.999940 | + | 0.0109892i | \(0.00349804\pi\) | |||||||
\(62\) | −1.66807 | + | 15.8707i | −0.00341687 | + | 0.0325093i | ||||
\(63\) | −22.6323 | + | 8.68773i | −0.0452604 | + | 0.0173738i | ||||
\(64\) | 452.864 | + | 147.144i | 0.884499 | + | 0.287391i | ||||
\(65\) | −401.734 | + | 205.758i | −0.766600 | + | 0.392633i | ||||
\(66\) | −46.9305 | + | 20.4384i | −0.0875264 | + | 0.0381180i | ||||
\(67\) | −213.916 | − | 57.3185i | −0.390059 | − | 0.104516i | 0.0584590 | − | 0.998290i | \(-0.481381\pi\) |
−0.448518 | + | 0.893774i | \(0.648048\pi\) | |||||||
\(68\) | −163.684 | − | 770.071i | −0.291905 | − | 1.37331i | ||||
\(69\) | 21.3493 | − | 2.24390i | 0.0372486 | − | 0.00391498i | ||||
\(70\) | 11.5856 | − | 1.83498i | 0.0197821 | − | 0.00313318i | ||||
\(71\) | −68.6648 | + | 44.5915i | −0.114775 | + | 0.0745357i | −0.600750 | − | 0.799437i | \(-0.705131\pi\) |
0.485975 | + | 0.873973i | \(0.338465\pi\) | |||||||
\(72\) | 25.0170 | − | 16.2462i | 0.0409483 | − | 0.0265921i | ||||
\(73\) | −981.861 | + | 155.512i | −1.57422 | + | 0.249332i | −0.881610 | − | 0.471979i | \(-0.843540\pi\) |
−0.692611 | + | 0.721311i | \(0.743540\pi\) | |||||||
\(74\) | 120.460 | − | 12.6609i | 0.189233 | − | 0.0198892i | ||||
\(75\) | 30.6662 | + | 144.273i | 0.0472137 | + | 0.222123i | ||||
\(76\) | 968.781 | + | 259.584i | 1.46219 | + | 0.391794i | ||||
\(77\) | 124.781 | + | 73.4039i | 0.184676 | + | 0.108638i | ||||
\(78\) | 65.6817 | + | 3.30386i | 0.0953460 | + | 0.00479600i | ||||
\(79\) | 100.786 | + | 32.7474i | 0.143536 | + | 0.0466376i | 0.379904 | − | 0.925026i | \(-0.375957\pi\) |
−0.236368 | + | 0.971664i | \(0.575957\pi\) | |||||||
\(80\) | 555.110 | − | 213.087i | 0.775790 | − | 0.297798i | ||||
\(81\) | 55.0580 | − | 523.842i | 0.0755254 | − | 0.718576i | ||||
\(82\) | −18.4603 | + | 86.8487i | −0.0248609 | + | 0.116961i | ||||
\(83\) | −35.2688 | + | 69.2188i | −0.0466416 | + | 0.0915392i | −0.913151 | − | 0.407622i | \(-0.866358\pi\) |
0.866509 | + | 0.499161i | \(0.166358\pi\) | |||||||
\(84\) | 133.864 | + | 51.3854i | 0.173878 | + | 0.0667453i | ||||
\(85\) | −745.237 | − | 603.481i | −0.950968 | − | 0.770079i | ||||
\(86\) | −57.4174 | + | 29.2556i | −0.0719939 | + | 0.0366827i | ||||
\(87\) | 136.200 | + | 78.6349i | 0.167841 | + | 0.0969029i | ||||
\(88\) | −168.961 | − | 56.4244i | −0.204673 | − | 0.0683507i | ||||
\(89\) | −229.738 | + | 857.394i | −0.273620 | + | 1.02116i | 0.683140 | + | 0.730287i | \(0.260614\pi\) |
−0.956760 | + | 0.290877i | \(0.906053\pi\) | |||||||
\(90\) | 5.58059 | − | 17.1753i | 0.00653606 | − | 0.0201159i | ||||
\(91\) | −101.628 | − | 155.777i | −0.117072 | − | 0.179449i | ||||
\(92\) | 30.0396 | + | 21.8250i | 0.0340417 | + | 0.0247328i | ||||
\(93\) | 12.4353 | + | 237.280i | 0.0138654 | + | 0.264568i | ||||
\(94\) | −71.8482 | − | 64.6924i | −0.0788359 | − | 0.0709842i | ||||
\(95\) | 1116.03 | − | 496.890i | 1.20529 | − | 0.536630i | ||||
\(96\) | −261.905 | − | 41.4818i | −0.278444 | − | 0.0441012i | ||||
\(97\) | −1762.30 | − | 92.3581i | −1.84468 | − | 0.0966757i | −0.902278 | − | 0.431154i | \(-0.858106\pi\) |
−0.942403 | + | 0.334479i | \(0.891440\pi\) | |||||||
\(98\) | −26.0005 | − | 97.0352i | −0.0268005 | − | 0.100021i | ||||
\(99\) | 187.908 | − | 119.864i | 0.190762 | − | 0.121685i | ||||
\(100\) | −127.561 | + | 220.942i | −0.127561 | + | 0.220942i | ||||
\(101\) | 637.236 | − | 135.449i | 0.627795 | − | 0.133442i | 0.116983 | − | 0.993134i | \(-0.462678\pi\) |
0.510813 | + | 0.859692i | \(0.329344\pi\) | |||||||
\(102\) | 50.0714 | + | 130.440i | 0.0486059 | + | 0.126623i | ||||
\(103\) | −653.321 | + | 899.219i | −0.624986 | + | 0.860220i | −0.997704 | − | 0.0677249i | \(-0.978426\pi\) |
0.372718 | + | 0.927945i | \(0.378426\pi\) | |||||||
\(104\) | 162.168 | + | 161.488i | 0.152903 | + | 0.152262i | ||||
\(105\) | 166.105 | − | 53.9707i | 0.154383 | − | 0.0501619i | ||||
\(106\) | 73.4630 | − | 59.4892i | 0.0673147 | − | 0.0545104i | ||||
\(107\) | −471.250 | + | 1058.45i | −0.425771 | + | 0.956297i | 0.565536 | + | 0.824724i | \(0.308670\pi\) |
−0.991306 | + | 0.131573i | \(0.957997\pi\) | |||||||
\(108\) | 889.086 | − | 800.537i | 0.792151 | − | 0.713256i | ||||
\(109\) | 972.113 | + | 972.113i | 0.854234 | + | 0.854234i | 0.990651 | − | 0.136418i | \(-0.0435589\pi\) |
−0.136418 | + | 0.990651i | \(0.543559\pi\) | |||||||
\(110\) | −100.993 | + | 37.8267i | −0.0875394 | + | 0.0327876i | ||||
\(111\) | 1742.01 | − | 466.769i | 1.48958 | − | 0.399133i | ||||
\(112\) | 111.238 | + | 218.317i | 0.0938485 | + | 0.184188i | ||||
\(113\) | −163.451 | − | 1555.13i | −0.136073 | − | 1.29464i | −0.823052 | − | 0.567966i | \(-0.807730\pi\) |
0.686979 | − | 0.726677i | \(-0.258936\pi\) | |||||||
\(114\) | −177.023 | − | 18.6059i | −0.145436 | − | 0.0152860i | ||||
\(115\) | 45.1654 | − | 2.36702i | 0.0366234 | − | 0.00191935i | ||||
\(116\) | 84.0611 | + | 258.713i | 0.0672834 | + | 0.207077i | ||||
\(117\) | −284.721 | + | 30.5304i | −0.224979 | + | 0.0241243i | ||||
\(118\) | 112.010 | + | 154.169i | 0.0873844 | + | 0.120274i | ||||
\(119\) | 215.219 | − | 331.408i | 0.165791 | − | 0.255295i | ||||
\(120\) | −186.111 | + | 107.451i | −0.141580 | + | 0.0817410i | ||||
\(121\) | −1258.99 | − | 431.870i | −0.945896 | − | 0.324470i | ||||
\(122\) | −40.7763 | + | 40.7763i | −0.0302599 | + | 0.0302599i | ||||
\(123\) | −69.1887 | + | 1320.20i | −0.0507198 | + | 0.967791i | ||||
\(124\) | −258.640 | + | 319.394i | −0.187311 | + | 0.231310i | ||||
\(125\) | 236.913 | + | 1495.81i | 0.169521 | + | 1.07031i | ||||
\(126\) | 7.27918 | + | 1.54724i | 0.00514667 | + | 0.00109396i | ||||
\(127\) | −1660.21 | + | 1843.85i | −1.16000 | + | 1.28831i | −0.209417 | + | 0.977826i | \(0.567157\pi\) |
−0.950580 | + | 0.310480i | \(0.899510\pi\) | |||||||
\(128\) | −384.074 | − | 474.291i | −0.265216 | − | 0.327514i | ||||
\(129\) | −776.240 | + | 563.972i | −0.529800 | + | 0.384922i | ||||
\(130\) | 137.827 | + | 14.1935i | 0.0929864 | + | 0.00957576i | ||||
\(131\) | 1667.49i | 1.11213i | 0.831138 | + | 0.556066i | \(0.187690\pi\) | ||||
−0.831138 | + | 0.556066i | \(0.812310\pi\) | |||||||
\(132\) | −1300.33 | − | 216.825i | −0.857421 | − | 0.142971i | ||||
\(133\) | 251.708 | + | 435.971i | 0.164104 | + | 0.284237i | ||||
\(134\) | 45.4894 | + | 50.5211i | 0.0293260 | + | 0.0325699i | ||||
\(135\) | 227.965 | − | 1439.31i | 0.145334 | − | 0.917603i | ||||
\(136\) | −174.248 | + | 453.931i | −0.109865 | + | 0.286208i | ||||
\(137\) | −324.511 | − | 499.704i | −0.202371 | − | 0.311625i | 0.722884 | − | 0.690969i | \(-0.242816\pi\) |
−0.925255 | + | 0.379345i | \(0.876149\pi\) | |||||||
\(138\) | −5.87152 | − | 2.99169i | −0.00362186 | − | 0.00184543i | ||||
\(139\) | 1172.14 | + | 2632.67i | 0.715248 | + | 1.60647i | 0.792797 | + | 0.609485i | \(0.208624\pi\) |
−0.0775489 | + | 0.996989i | \(0.524709\pi\) | |||||||
\(140\) | 275.977 | + | 122.873i | 0.166602 | + | 0.0741761i | ||||
\(141\) | −1207.29 | − | 784.021i | −0.721077 | − | 0.468273i | ||||
\(142\) | 25.1330 | 0.0148529 | ||||||||
\(143\) | 1201.84 | + | 1216.46i | 0.702819 | + | 0.711368i | ||||
\(144\) | 377.229 | 0.218304 | ||||||||
\(145\) | 277.888 | + | 180.462i | 0.159154 | + | 0.103356i | ||||
\(146\) | 278.780 | + | 124.121i | 0.158027 | + | 0.0703583i | ||||
\(147\) | −608.380 | − | 1366.44i | −0.341349 | − | 0.766683i | ||||
\(148\) | 2779.42 | + | 1416.18i | 1.54369 | + | 0.786551i | ||||
\(149\) | −825.371 | − | 1270.96i | −0.453806 | − | 0.698800i | 0.535520 | − | 0.844523i | \(-0.320116\pi\) |
−0.989325 | + | 0.145723i | \(0.953449\pi\) | |||||||
\(150\) | 16.2260 | − | 42.2702i | 0.00883231 | − | 0.0230090i | ||||
\(151\) | 77.6629 | − | 490.344i | 0.0418551 | − | 0.264263i | −0.957883 | − | 0.287160i | \(-0.907289\pi\) |
0.999738 | + | 0.0228970i | \(0.00728898\pi\) | |||||||
\(152\) | −414.481 | − | 460.327i | −0.221176 | − | 0.245641i | ||||
\(153\) | −304.187 | − | 526.867i | −0.160732 | − | 0.278396i | ||||
\(154\) | −19.8524 | − | 39.7599i | −0.0103880 | − | 0.0208048i | ||||
\(155\) | 500.598i | 0.259413i | ||||||||
\(156\) | 1372.32 | + | 992.650i | 0.704317 | + | 0.509459i | ||||
\(157\) | 1046.40 | − | 760.254i | 0.531922 | − | 0.386464i | −0.289154 | − | 0.957283i | \(-0.593374\pi\) |
0.821076 | + | 0.570818i | \(0.193374\pi\) | |||||||
\(158\) | −20.4723 | − | 25.2812i | −0.0103082 | − | 0.0127295i | ||||
\(159\) | 941.789 | − | 1045.96i | 0.469740 | − | 0.521699i | ||||
\(160\) | −546.464 | − | 116.154i | −0.270011 | − | 0.0573926i | ||||
\(161\) | 2.91551 | + | 18.4078i | 0.00142717 | + | 0.00901079i | ||||
\(162\) | −101.756 | + | 125.658i | −0.0493499 | + | 0.0609420i | ||||
\(163\) | −55.6446 | + | 1061.76i | −0.0267388 | + | 0.510206i | 0.952127 | + | 0.305703i | \(0.0988914\pi\) |
−0.978866 | + | 0.204504i | \(0.934442\pi\) | |||||||
\(164\) | −1616.91 | + | 1616.91i | −0.769877 | + | 0.769877i | ||||
\(165\) | −1397.11 | + | 791.515i | −0.659179 | + | 0.373451i | ||||
\(166\) | 20.6526 | − | 11.9238i | 0.00965635 | − | 0.00557509i | ||||
\(167\) | −181.359 | + | 279.268i | −0.0840358 | + | 0.129404i | −0.878189 | − | 0.478314i | \(-0.841248\pi\) |
0.794153 | + | 0.607718i | \(0.207915\pi\) | |||||||
\(168\) | −52.0524 | − | 71.6440i | −0.0239043 | − | 0.0329015i | ||||
\(169\) | −687.685 | − | 2086.60i | −0.313011 | − | 0.949749i | ||||
\(170\) | 90.9651 | + | 279.962i | 0.0410395 | + | 0.126306i | ||||
\(171\) | 773.980 | − | 40.5626i | 0.346127 | − | 0.0181397i | ||||
\(172\) | −1650.52 | − | 173.476i | −0.731690 | − | 0.0769037i | ||||
\(173\) | −473.309 | − | 4503.23i | −0.208006 | − | 1.97904i | −0.203611 | − | 0.979052i | \(-0.565268\pi\) |
−0.00439459 | − | 0.999990i | \(-0.501399\pi\) | |||||||
\(174\) | −21.9176 | − | 43.0157i | −0.00954925 | − | 0.0187415i | ||||
\(175\) | −123.691 | + | 33.1429i | −0.0534294 | + | 0.0143164i | ||||
\(176\) | −1403.37 | − | 1762.18i | −0.601041 | − | 0.754713i | ||||
\(177\) | 2006.32 | + | 2006.32i | 0.852000 | + | 0.852000i | ||||
\(178\) | 202.493 | − | 182.326i | 0.0852670 | − | 0.0767748i | ||||
\(179\) | 1842.03 | − | 4137.26i | 0.769160 | − | 1.72756i | 0.0871766 | − | 0.996193i | \(-0.472216\pi\) |
0.681983 | − | 0.731368i | \(-0.261118\pi\) | |||||||
\(180\) | 361.446 | − | 292.693i | 0.149670 | − | 0.121200i | ||||
\(181\) | −1701.13 | + | 552.732i | −0.698587 | + | 0.226985i | −0.636715 | − | 0.771099i | \(-0.719707\pi\) |
−0.0618722 | + | 0.998084i | \(0.519707\pi\) | |||||||
\(182\) | 0.119971 | + | 57.0958i | 4.88618e−5 | + | 0.0232540i | ||||
\(183\) | −504.682 | + | 694.635i | −0.203864 | + | 0.280595i | ||||
\(184\) | −8.21820 | − | 21.4091i | −0.00329268 | − | 0.00857773i | ||||
\(185\) | 3716.57 | − | 789.982i | 1.47702 | − | 0.313949i | ||||
\(186\) | 36.4693 | − | 63.1668i | 0.0143767 | − | 0.0249011i | ||||
\(187\) | −1329.56 | + | 3381.03i | −0.519929 | + | 1.32217i | ||||
\(188\) | −644.439 | − | 2405.08i | −0.250003 | − | 0.933024i | ||||
\(189\) | 599.681 | + | 31.4280i | 0.230796 | + | 0.0120955i | ||||
\(190\) | −370.397 | − | 58.6652i | −0.141429 | − | 0.0224001i | ||||
\(191\) | 2926.30 | − | 1302.87i | 1.10858 | − | 0.493574i | 0.230980 | − | 0.972959i | \(-0.425807\pi\) |
0.877605 | + | 0.479385i | \(0.159140\pi\) | |||||||
\(192\) | −1617.38 | − | 1456.29i | −0.607939 | − | 0.547390i | ||||
\(193\) | −179.975 | − | 3434.13i | −0.0671238 | − | 1.28080i | −0.799819 | − | 0.600241i | \(-0.795071\pi\) |
0.732695 | − | 0.680557i | \(-0.238262\pi\) | |||||||
\(194\) | 438.261 | + | 318.415i | 0.162192 | + | 0.117840i | ||||
\(195\) | 2059.95 | − | 112.298i | 0.756493 | − | 0.0412402i | ||||
\(196\) | 799.486 | − | 2460.57i | 0.291358 | − | 0.896707i | ||||
\(197\) | −278.007 | + | 1037.54i | −0.100544 | + | 0.375236i | −0.997802 | − | 0.0662718i | \(-0.978890\pi\) |
0.897257 | + | 0.441508i | \(0.145556\pi\) | |||||||
\(198\) | −68.4168 | − | 0.557351i | −0.0245564 | − | 0.000200047i | ||||
\(199\) | −3802.06 | − | 2195.12i | −1.35438 | − | 0.781950i | −0.365518 | − | 0.930804i | \(-0.619108\pi\) |
−0.988859 | + | 0.148854i | \(0.952442\pi\) | |||||||
\(200\) | 140.391 | − | 71.5330i | 0.0496359 | − | 0.0252907i | ||||
\(201\) | 786.644 | + | 637.012i | 0.276048 | + | 0.223539i | ||||
\(202\) | −186.702 | − | 71.6681i | −0.0650311 | − | 0.0249631i | ||||
\(203\) | −61.9876 | + | 121.658i | −0.0214319 | + | 0.0420625i | ||||
\(204\) | −748.139 | + | 3519.72i | −0.256766 | + | 1.20799i | ||||
\(205\) | −291.140 | + | 2770.01i | −0.0991907 | + | 0.943736i | ||||
\(206\) | 318.537 | − | 122.275i | 0.107736 | − | 0.0413558i | ||||
\(207\) | 27.2889 | + | 8.86670i | 0.00916284 | + | 0.00297719i | ||||
\(208\) | 607.691 | + | 2829.71i | 0.202576 | + | 0.943295i | ||||
\(209\) | −3068.85 | − | 3464.65i | −1.01568 | − | 1.14667i | ||||
\(210\) | −51.7870 | − | 13.8763i | −0.0170173 | − | 0.00455978i | ||||
\(211\) | −465.213 | − | 2188.66i | −0.151785 | − | 0.714091i | −0.986547 | − | 0.163480i | \(-0.947728\pi\) |
0.834762 | − | 0.550611i | \(-0.185605\pi\) | |||||||
\(212\) | 2421.16 | − | 254.474i | 0.784368 | − | 0.0824404i | ||||
\(213\) | 369.607 | − | 58.5400i | 0.118897 | − | 0.0188314i | ||||
\(214\) | 298.284 | − | 193.708i | 0.0952818 | − | 0.0618767i | ||||
\(215\) | −1695.36 | + | 1100.98i | −0.537780 | + | 0.349238i | ||||
\(216\) | −729.796 | + | 115.588i | −0.229891 | + | 0.0364111i | ||||
\(217\) | −205.156 | + | 21.5627i | −0.0641792 | + | 0.00674551i | ||||
\(218\) | −87.7428 | − | 412.797i | −0.0272600 | − | 0.128248i | ||||
\(219\) | 4388.85 | + | 1175.99i | 1.35421 | + | 0.362859i | ||||
\(220\) | −2711.94 | − | 599.571i | −0.831085 | − | 0.183741i | ||||
\(221\) | 3462.16 | − | 3130.54i | 1.05380 | − | 0.952865i | ||||
\(222\) | −526.518 | − | 171.076i | −0.159178 | − | 0.0517201i | ||||
\(223\) | 689.539 | − | 264.689i | 0.207063 | − | 0.0794839i | −0.252626 | − | 0.967564i | \(-0.581294\pi\) |
0.459689 | + | 0.888080i | \(0.347961\pi\) | |||||||
\(224\) | 24.0642 | − | 228.956i | 0.00717794 | − | 0.0682935i | ||||
\(225\) | −40.9893 | + | 192.840i | −0.0121450 | + | 0.0571376i | ||||
\(226\) | −217.922 | + | 427.696i | −0.0641414 | + | 0.125885i | ||||
\(227\) | 3612.41 | + | 1386.67i | 1.05623 | + | 0.405448i | 0.823632 | − | 0.567125i | \(-0.191944\pi\) |
0.232597 | + | 0.972573i | \(0.425278\pi\) | |||||||
\(228\) | −3562.55 | − | 2884.90i | −1.03481 | − | 0.837970i | ||||
\(229\) | −2529.41 | + | 1288.80i | −0.729905 | + | 0.371905i | −0.779113 | − | 0.626883i | \(-0.784330\pi\) |
0.0492080 | + | 0.998789i | \(0.484330\pi\) | |||||||
\(230\) | −12.0235 | − | 6.94180i | −0.00344700 | − | 0.00199012i | ||||
\(231\) | −384.559 | − | 538.470i | −0.109533 | − | 0.153371i | ||||
\(232\) | 43.4831 | − | 162.281i | 0.0123052 | − | 0.0459236i | ||||
\(233\) | −24.2973 | + | 74.7793i | −0.00683162 | + | 0.0210256i | −0.954414 | − | 0.298485i | \(-0.903519\pi\) |
0.947583 | + | 0.319511i | \(0.103519\pi\) | |||||||
\(234\) | 78.4058 | + | 39.7424i | 0.0219040 | + | 0.0111028i | ||||
\(235\) | −2453.63 | − | 1782.66i | −0.681094 | − | 0.494843i | ||||
\(236\) | 256.851 | + | 4901.01i | 0.0708457 | + | 1.35182i | ||||
\(237\) | −359.952 | − | 324.102i | −0.0986557 | − | 0.0888300i | ||||
\(238\) | −110.816 | + | 49.3385i | −0.0301813 | + | 0.0134376i | ||||
\(239\) | 4492.29 | + | 711.508i | 1.21582 | + | 0.192567i | 0.731205 | − | 0.682158i | \(-0.238958\pi\) |
0.484619 | + | 0.874726i | \(0.338958\pi\) | |||||||
\(240\) | −2713.99 | − | 142.234i | −0.729948 | − | 0.0382549i | ||||
\(241\) | −8.58214 | − | 32.0290i | −0.00229388 | − | 0.00856086i | 0.964769 | − | 0.263097i | \(-0.0847439\pi\) |
−0.967063 | + | 0.254536i | \(0.918077\pi\) | |||||||
\(242\) | 251.922 | + | 321.675i | 0.0669179 | + | 0.0854464i | ||||
\(243\) | 839.220 | − | 1453.57i | 0.221547 | − | 0.383731i | ||||
\(244\) | −1452.68 | + | 308.777i | −0.381141 | + | 0.0810140i | ||||
\(245\) | −1129.34 | − | 2942.02i | −0.294492 | − | 0.767178i | ||||
\(246\) | 238.536 | − | 328.317i | 0.0618233 | − | 0.0850924i | ||||
\(247\) | 1551.10 | + | 5740.52i | 0.399572 | + | 1.47879i | ||||
\(248\) | 241.403 | − | 78.4364i | 0.0618108 | − | 0.0200835i | ||||
\(249\) | 275.945 | − | 223.456i | 0.0702302 | − | 0.0568713i | ||||
\(250\) | 189.091 | − | 424.705i | 0.0478366 | − | 0.107443i | ||||
\(251\) | 41.0738 | − | 36.9830i | 0.0103289 | − | 0.00930019i | −0.663950 | − | 0.747777i | \(-0.731121\pi\) |
0.674279 | + | 0.738477i | \(0.264455\pi\) | |||||||
\(252\) | 135.521 | + | 135.521i | 0.0338770 | + | 0.0338770i | ||||
\(253\) | −60.1007 | − | 160.463i | −0.0149348 | − | 0.0398743i | ||||
\(254\) | 735.692 | − | 197.128i | 0.181738 | − | 0.0486965i | ||||
\(255\) | 1989.83 | + | 3905.26i | 0.488658 | + | 0.959046i | ||||
\(256\) | −378.603 | − | 3602.16i | −0.0924323 | − | 0.879435i | ||||
\(257\) | −4280.96 | − | 449.947i | −1.03906 | − | 0.109210i | −0.430399 | − | 0.902639i | \(-0.641627\pi\) |
−0.608663 | + | 0.793429i | \(0.708294\pi\) | |||||||
\(258\) | 294.133 | − | 15.4149i | 0.0709765 | − | 0.00371972i | ||||
\(259\) | 483.839 | + | 1489.10i | 0.116078 | + | 0.357252i | ||||
\(260\) | 2777.85 | + | 2239.81i | 0.662595 | + | 0.534258i | ||||
\(261\) | 123.559 | + | 170.064i | 0.0293031 | + | 0.0403323i | ||||
\(262\) | 278.787 | − | 429.295i | 0.0657387 | − | 0.101229i | ||||
\(263\) | 1722.86 | − | 994.695i | 0.403940 | − | 0.233215i | −0.284242 | − | 0.958752i | \(-0.591742\pi\) |
0.688183 | + | 0.725537i | \(0.258409\pi\) | |||||||
\(264\) | 600.597 | + | 549.705i | 0.140016 | + | 0.128152i | ||||
\(265\) | 2096.81 | − | 2096.81i | 0.486061 | − | 0.486061i | ||||
\(266\) | 8.08776 | − | 154.324i | 0.00186426 | − | 0.0355722i | ||||
\(267\) | 2553.20 | − | 3152.95i | 0.585219 | − | 0.722686i | ||||
\(268\) | 273.889 | + | 1729.27i | 0.0624271 | + | 0.394149i | ||||
\(269\) | −2218.43 | − | 471.543i | −0.502826 | − | 0.106879i | −0.0504866 | − | 0.998725i | \(-0.516077\pi\) |
−0.452340 | + | 0.891846i | \(0.649411\pi\) | |||||||
\(270\) | −299.328 | + | 332.437i | −0.0674686 | + | 0.0749315i | ||||
\(271\) | 203.868 | + | 251.756i | 0.0456978 | + | 0.0564321i | 0.799482 | − | 0.600689i | \(-0.205107\pi\) |
−0.753785 | + | 0.657122i | \(0.771774\pi\) | |||||||
\(272\) | −4974.60 | + | 3614.26i | −1.10893 | + | 0.805686i | ||||
\(273\) | 134.753 | + | 839.375i | 0.0298740 | + | 0.186085i | ||||
\(274\) | 182.903i | 0.0403270i | ||||||||
\(275\) | 1053.32 | − | 525.927i | 0.230972 | − | 0.115326i | ||||
\(276\) | −84.8561 | − | 146.975i | −0.0185063 | − | 0.0320538i | ||||
\(277\) | −921.159 | − | 1023.05i | −0.199809 | − | 0.221910i | 0.634911 | − | 0.772586i | \(-0.281037\pi\) |
−0.834720 | + | 0.550675i | \(0.814370\pi\) | |||||||
\(278\) | 138.388 | − | 873.749i | 0.0298560 | − | 0.188503i | ||||
\(279\) | −113.814 | + | 296.496i | −0.0244225 | + | 0.0636228i | ||||
\(280\) | −101.616 | − | 156.475i | −0.0216883 | − | 0.0333971i | ||||
\(281\) | 2720.55 | + | 1386.19i | 0.577559 | + | 0.294281i | 0.718264 | − | 0.695770i | \(-0.244937\pi\) |
−0.140705 | + | 0.990052i | \(0.544937\pi\) | |||||||
\(282\) | 179.735 | + | 403.692i | 0.0379542 | + | 0.0852464i | ||||
\(283\) | −6456.57 | − | 2874.65i | −1.35620 | − | 0.603817i | −0.405543 | − | 0.914076i | \(-0.632918\pi\) |
−0.950652 | + | 0.310259i | \(0.899584\pi\) | |||||||
\(284\) | 542.848 | + | 352.530i | 0.113423 | + | 0.0736577i | ||||
\(285\) | −5583.73 | −1.16053 | ||||||||
\(286\) | −106.034 | − | 514.114i | −0.0219228 | − | 0.106294i | ||||
\(287\) | −1147.75 | −0.236061 | ||||||||
\(288\) | −297.253 | − | 193.038i | −0.0608188 | − | 0.0394962i | ||||
\(289\) | 4571.06 | + | 2035.17i | 0.930402 | + | 0.414242i | ||||
\(290\) | −41.3706 | − | 92.9199i | −0.00837712 | − | 0.0188153i | ||||
\(291\) | 7186.75 | + | 3661.83i | 1.44775 | + | 0.737665i | ||||
\(292\) | 4280.39 | + | 6591.22i | 0.857845 | + | 1.32097i | ||||
\(293\) | −2897.42 | + | 7548.04i | −0.577710 | + | 1.50499i | 0.263708 | + | 0.964603i | \(0.415054\pi\) |
−0.841418 | + | 0.540384i | \(0.818279\pi\) | |||||||
\(294\) | −71.8282 | + | 453.505i | −0.0142487 | + | 0.0899625i | ||||
\(295\) | 3999.98 | + | 4442.43i | 0.789450 | + | 0.876773i | ||||
\(296\) | −963.284 | − | 1668.46i | −0.189155 | − | 0.327625i | ||||
\(297\) | −5459.85 | + | 819.220i | −1.06671 | + | 0.160054i | ||||
\(298\) | 465.202i | 0.0904310i | ||||||||
\(299\) | −22.5512 | + | 218.986i | −0.00436178 | + | 0.0423555i | ||||
\(300\) | 943.372 | − | 685.400i | 0.181552 | − | 0.131905i | ||||
\(301\) | −524.231 | − | 647.372i | −0.100386 | − | 0.123966i | ||||
\(302\) | −101.975 | + | 113.255i | −0.0194304 | + | 0.0215797i | ||||
\(303\) | −2912.58 | − | 619.087i | −0.552222 | − | 0.117378i | ||||
\(304\) | −1225.43 | − | 7737.05i | −0.231195 | − | 1.45971i | ||||
\(305\) | −1138.42 | + | 1405.83i | −0.213724 | + | 0.263927i | ||||
\(306\) | −9.77397 | + | 186.499i | −0.00182595 | + | 0.0348412i | ||||
\(307\) | −2725.65 | + | 2725.65i | −0.506713 | + | 0.506713i | −0.913516 | − | 0.406803i | \(-0.866644\pi\) |
0.406803 | + | 0.913516i | \(0.366644\pi\) | |||||||
\(308\) | 128.903 | − | 1137.24i | 0.0238472 | − | 0.210390i | ||||
\(309\) | 4399.62 | − | 2540.12i | 0.809986 | − | 0.467646i | ||||
\(310\) | 83.6949 | − | 128.879i | 0.0153340 | − | 0.0236123i | ||||
\(311\) | −2233.82 | − | 3074.58i | −0.407293 | − | 0.560591i | 0.555263 | − | 0.831675i | \(-0.312618\pi\) |
−0.962556 | + | 0.271084i | \(0.912618\pi\) | |||||||
\(312\) | −376.918 | − | 975.771i | −0.0683935 | − | 0.177058i | ||||
\(313\) | 117.690 | + | 362.212i | 0.0212531 | + | 0.0654104i | 0.961121 | − | 0.276129i | \(-0.0890517\pi\) |
−0.939867 | + | 0.341539i | \(0.889052\pi\) | |||||||
\(314\) | −396.502 | + | 20.7798i | −0.0712608 | + | 0.00373462i | ||||
\(315\) | 232.167 | + | 24.4017i | 0.0415274 | + | 0.00436471i | ||||
\(316\) | −87.5735 | − | 833.206i | −0.0155899 | − | 0.148328i | ||||
\(317\) | 3289.20 | + | 6455.41i | 0.582775 | + | 1.14376i | 0.974649 | + | 0.223741i | \(0.0718271\pi\) |
−0.391874 | + | 0.920019i | \(0.628173\pi\) | |||||||
\(318\) | −417.337 | + | 111.825i | −0.0735947 | + | 0.0197196i | ||||
\(319\) | 334.770 | − | 1209.87i | 0.0587571 | − | 0.212350i | ||||
\(320\) | −3242.32 | − | 3242.32i | −0.566409 | − | 0.566409i | ||||
\(321\) | 3935.40 | − | 3543.45i | 0.684276 | − | 0.616125i | ||||
\(322\) | 2.32700 | − | 5.22652i | 0.000402728 | − | 0.000904542i | ||||
\(323\) | −9818.00 | + | 7950.46i | −1.69129 | + | 1.36958i | ||||
\(324\) | −3960.38 | + | 1286.80i | −0.679077 | + | 0.220645i | ||||
\(325\) | −1512.58 | + | 3.17827i | −0.258163 | + | 0.000542457i | ||||
\(326\) | 191.841 | − | 264.047i | 0.0325924 | − | 0.0448596i | ||||
\(327\) | −2251.84 | − | 5866.25i | −0.380817 | − | 0.992062i | ||||
\(328\) | 1381.39 | − | 293.625i | 0.232545 | − | 0.0494290i | ||||
\(329\) | 624.887 | − | 1082.34i | 0.104715 | − | 0.181371i | ||||
\(330\) | 492.018 | + | 29.8065i | 0.0820748 | + | 0.00497209i | ||||
\(331\) | 1368.61 | + | 5107.73i | 0.227268 | + | 0.848176i | 0.981483 | + | 0.191548i | \(0.0613509\pi\) |
−0.754215 | + | 0.656627i | \(0.771982\pi\) | |||||||
\(332\) | 613.327 | + | 32.1431i | 0.101388 | + | 0.00531350i | ||||
\(333\) | 2380.87 | + | 377.093i | 0.391805 | + | 0.0620558i | ||||
\(334\) | 93.3816 | − | 41.5762i | 0.0152982 | − | 0.00681122i | ||||
\(335\) | 1584.83 | + | 1426.98i | 0.258472 | + | 0.232730i | ||||
\(336\) | −58.6118 | − | 1118.38i | −0.00951647 | − | 0.181585i | ||||
\(337\) | −4320.39 | − | 3138.94i | −0.698357 | − | 0.507386i | 0.181040 | − | 0.983476i | \(-0.442054\pi\) |
−0.879397 | + | 0.476090i | \(0.842054\pi\) | |||||||
\(338\) | −171.814 | + | 652.168i | −0.0276492 | + | 0.104951i | ||||
\(339\) | −2208.58 | + | 6797.31i | −0.353845 | + | 1.08902i | ||||
\(340\) | −1962.15 | + | 7322.84i | −0.312978 | + | 1.16805i | ||||
\(341\) | 1808.46 | − | 571.360i | 0.287195 | − | 0.0907356i | ||||
\(342\) | −206.042 | − | 118.959i | −0.0325775 | − | 0.0188086i | ||||
\(343\) | 2369.79 | − | 1207.47i | 0.373051 | − | 0.190079i | ||||
\(344\) | 796.562 | + | 645.043i | 0.124848 | + | 0.101100i | ||||
\(345\) | −192.988 | − | 74.0811i | −0.0301163 | − | 0.0115606i | ||||
\(346\) | −631.041 | + | 1238.49i | −0.0980490 | + | 0.192432i | ||||
\(347\) | 125.737 | − | 591.546i | 0.0194522 | − | 0.0915155i | −0.967351 | − | 0.253442i | \(-0.918437\pi\) |
0.986803 | + | 0.161926i | \(0.0517707\pi\) | |||||||
\(348\) | 129.964 | − | 1236.53i | 0.0200196 | − | 0.190474i | ||||
\(349\) | −2607.14 | + | 1000.79i | −0.399877 | + | 0.153498i | −0.549991 | − | 0.835170i | \(-0.685369\pi\) |
0.150115 | + | 0.988669i | \(0.452036\pi\) | |||||||
\(350\) | 37.3853 | + | 12.1472i | 0.00570951 | + | 0.00185513i | ||||
\(351\) | 6750.61 | + | 2177.74i | 1.02656 | + | 0.331165i | ||||
\(352\) | 204.089 | + | 2106.73i | 0.0309033 | + | 0.319003i | ||||
\(353\) | 8625.69 | + | 2311.25i | 1.30056 | + | 0.348485i | 0.841664 | − | 0.540002i | \(-0.181577\pi\) |
0.458901 | + | 0.888487i | \(0.348243\pi\) | |||||||
\(354\) | −181.090 | − | 851.961i | −0.0271888 | − | 0.127913i | ||||
\(355\) | 784.091 | − | 82.4113i | 0.117226 | − | 0.0123210i | ||||
\(356\) | 6931.08 | − | 1097.77i | 1.03187 | − | 0.163432i | ||||
\(357\) | −1514.75 | + | 983.689i | −0.224563 | + | 0.145833i | ||||
\(358\) | −1165.94 | + | 757.168i | −0.172128 | + | 0.111781i | ||||
\(359\) | −7272.55 | + | 1151.86i | −1.06917 | + | 0.169339i | −0.666123 | − | 0.745842i | \(-0.732047\pi\) |
−0.403043 | + | 0.915181i | \(0.632047\pi\) | |||||||
\(360\) | −285.671 | + | 30.0253i | −0.0418228 | + | 0.00439575i | ||||
\(361\) | −1920.15 | − | 9033.61i | −0.279946 | − | 1.31704i | ||||
\(362\) | 530.367 | + | 142.111i | 0.0770041 | + | 0.0206332i | ||||
\(363\) | 4454.02 | + | 4143.78i | 0.644009 | + | 0.599152i | ||||
\(364\) | −798.268 | + | 1234.90i | −0.114947 | + | 0.177819i | ||||
\(365\) | 9104.28 | + | 2958.16i | 1.30559 | + | 0.424212i | ||||
\(366\) | 246.066 | − | 94.4558i | 0.0351423 | − | 0.0134899i | ||||
\(367\) | 716.579 | − | 6817.79i | 0.101921 | − | 0.969716i | −0.817363 | − | 0.576123i | \(-0.804565\pi\) |
0.919284 | − | 0.393594i | \(-0.128768\pi\) | |||||||
\(368\) | 60.2960 | − | 283.671i | 0.00854116 | − | 0.0401830i | ||||
\(369\) | −802.218 | + | 1574.44i | −0.113176 | + | 0.222120i | ||||
\(370\) | −1088.91 | − | 417.992i | −0.152999 | − | 0.0587307i | ||||
\(371\) | 949.637 | + | 769.001i | 0.132891 | + | 0.107613i | ||||
\(372\) | 1673.72 | − | 852.801i | 0.233275 | − | 0.118859i | ||||
\(373\) | 1244.21 | + | 718.345i | 0.172715 | + | 0.0997171i | 0.583865 | − | 0.811850i | \(-0.301540\pi\) |
−0.411150 | + | 0.911568i | \(0.634873\pi\) | |||||||
\(374\) | 907.567 | − | 648.156i | 0.125479 | − | 0.0896133i | ||||
\(375\) | 1791.55 | − | 6686.16i | 0.246708 | − | 0.920725i | ||||
\(376\) | −475.203 | + | 1462.53i | −0.0651775 | + | 0.200596i | ||||
\(377\) | −1076.66 | + | 1200.82i | −0.147084 | + | 0.164046i | ||||
\(378\) | −149.133 | − | 108.352i | −0.0202926 | − | 0.0147434i | ||||
\(379\) | −503.584 | − | 9608.95i | −0.0682516 | − | 1.30232i | −0.791260 | − | 0.611479i | \(-0.790575\pi\) |
0.723009 | − | 0.690839i | \(-0.242759\pi\) | |||||||
\(380\) | −7177.36 | − | 6462.52i | −0.968923 | − | 0.872422i | ||||
\(381\) | 10360.0 | − | 4612.56i | 1.39306 | − | 0.620232i | ||||
\(382\) | −971.202 | − | 153.823i | −0.130081 | − | 0.0206028i | ||||
\(383\) | 1646.00 | + | 86.2632i | 0.219600 | + | 0.0115087i | 0.161818 | − | 0.986821i | \(-0.448264\pi\) |
0.0577812 | + | 0.998329i | \(0.481597\pi\) | |||||||
\(384\) | 721.965 | + | 2694.41i | 0.0959443 | + | 0.358069i | ||||
\(385\) | −749.721 | − | 1175.32i | −0.0992450 | − | 0.155584i | ||||
\(386\) | −527.817 | + | 914.205i | −0.0695989 | + | 0.120549i | ||||
\(387\) | −1254.45 | + | 266.642i | −0.164773 | + | 0.0350237i | ||||
\(388\) | 4999.74 | + | 13024.8i | 0.654184 | + | 1.70421i | ||||
\(389\) | −4976.53 | + | 6849.61i | −0.648638 | + | 0.892773i | −0.999039 | − | 0.0438264i | \(-0.986045\pi\) |
0.350401 | + | 0.936600i | \(0.386045\pi\) | |||||||
\(390\) | −549.109 | − | 315.492i | −0.0712954 | − | 0.0409629i | ||||
\(391\) | −444.816 | + | 144.530i | −0.0575328 | + | 0.0186935i | ||||
\(392\) | −1241.77 | + | 1005.57i | −0.159998 | + | 0.129564i | ||||
\(393\) | 3099.94 | − | 6962.59i | 0.397892 | − | 0.893680i | ||||
\(394\) | 245.039 | − | 220.634i | 0.0313321 | − | 0.0282116i | ||||
\(395\) | −721.587 | − | 721.587i | −0.0919164 | − | 0.0919164i | ||||
\(396\) | −1469.92 | − | 971.693i | −0.186531 | − | 0.123307i | ||||
\(397\) | −10903.6 | + | 2921.61i | −1.37843 | + | 0.369349i | −0.870550 | − | 0.492079i | \(-0.836237\pi\) |
−0.507879 | + | 0.861428i | \(0.669570\pi\) | |||||||
\(398\) | 611.838 | + | 1200.80i | 0.0770569 | + | 0.151233i | ||||
\(399\) | −240.513 | − | 2288.33i | −0.0301772 | − | 0.287117i | ||||
\(400\) | 1981.69 | + | 208.284i | 0.247712 | + | 0.0260355i | ||||
\(401\) | 855.682 | − | 44.8444i | 0.106560 | − | 0.00558459i | 0.00101876 | − | 0.999999i | \(-0.499676\pi\) |
0.105542 | + | 0.994415i | \(0.466342\pi\) | |||||||
\(402\) | −96.0194 | − | 295.517i | −0.0119130 | − | 0.0366643i | ||||
\(403\) | −2407.46 | − | 376.120i | −0.297578 | − | 0.0464910i | ||||
\(404\) | −3027.32 | − | 4166.75i | −0.372809 | − | 0.513128i | ||||
\(405\) | −2762.51 | + | 4253.89i | −0.338939 | + | 0.521920i | ||||
\(406\) | 36.2986 | − | 20.9570i | 0.00443711 | − | 0.00256177i | ||||
\(407\) | −7095.81 | − | 12524.8i | −0.864192 | − | 1.52539i | ||||
\(408\) | 1571.45 | − | 1571.45i | 0.190682 | − | 0.190682i | ||||
\(409\) | 372.376 | − | 7105.36i | 0.0450191 | − | 0.859016i | −0.879036 | − | 0.476756i | \(-0.841813\pi\) |
0.924055 | − | 0.382260i | \(-0.124854\pi\) | |||||||
\(410\) | 538.071 | − | 664.463i | 0.0648133 | − | 0.0800377i | ||||
\(411\) | 426.021 | + | 2689.79i | 0.0511291 | + | 0.322816i | ||||
\(412\) | 8595.20 | + | 1826.97i | 1.02780 | + | 0.218466i | ||||
\(413\) | −1648.31 | + | 1830.63i | −0.196387 | + | 0.218110i | ||||
\(414\) | −5.54309 | − | 6.84515i | −0.000658039 | − | 0.000812610i | ||||
\(415\) | 605.216 | − | 439.715i | 0.0715877 | − | 0.0520115i | ||||
\(416\) | 969.186 | − | 2540.76i | 0.114227 | − | 0.299449i | ||||
\(417\) | − | 13171.7i | − | 1.54682i | ||||||
\(418\) | 210.821 | + | 1405.05i | 0.0246688 | + | 0.164410i | ||||
\(419\) | 2177.15 | + | 3770.93i | 0.253844 | + | 0.439670i | 0.964581 | − | 0.263788i | \(-0.0849718\pi\) |
−0.710737 | + | 0.703458i | \(0.751638\pi\) | |||||||
\(420\) | −923.912 | − | 1026.11i | −0.107339 | − | 0.119212i | ||||
\(421\) | 1192.79 | − | 7530.96i | 0.138083 | − | 0.871820i | −0.817249 | − | 0.576285i | \(-0.804502\pi\) |
0.955332 | − | 0.295536i | \(-0.0954981\pi\) | |||||||
\(422\) | −246.152 | + | 641.247i | −0.0283945 | + | 0.0739702i | ||||
\(423\) | −1047.94 | − | 1613.69i | −0.120456 | − | 0.185486i | ||||
\(424\) | −1339.68 | − | 682.602i | −0.153445 | − | 0.0781842i | ||||
\(425\) | −1307.07 | − | 2935.74i | −0.149182 | − | 0.335068i | ||||
\(426\) | −104.942 | − | 46.7234i | −0.0119354 | − | 0.00531398i | ||||
\(427\) | −625.177 | − | 405.994i | −0.0708534 | − | 0.0460128i | ||||
\(428\) | 9159.72 | 1.03447 | ||||||||
\(429\) | −2756.82 | − | 7313.61i | −0.310258 | − | 0.823087i | ||||
\(430\) | 620.543 | 0.0695935 | ||||||||
\(431\) | −7462.42 | − | 4846.15i | −0.833995 | − | 0.541603i | 0.0555468 | − | 0.998456i | \(-0.482310\pi\) |
−0.889542 | + | 0.456853i | \(0.848976\pi\) | |||||||
\(432\) | −8536.39 | − | 3800.65i | −0.950712 | − | 0.423284i | ||||
\(433\) | −1738.69 | − | 3905.15i | −0.192970 | − | 0.433417i | 0.790985 | − | 0.611836i | \(-0.209569\pi\) |
−0.983955 | + | 0.178418i | \(0.942902\pi\) | |||||||
\(434\) | 56.4224 | + | 28.7486i | 0.00624046 | + | 0.00317967i | ||||
\(435\) | −824.828 | − | 1270.12i | −0.0909138 | − | 0.139995i | ||||
\(436\) | 3894.98 | − | 10146.8i | 0.427834 | − | 1.11454i | ||||
\(437\) | 93.2099 | − | 588.504i | 0.0102033 | − | 0.0644210i | ||||
\(438\) | −933.295 | − | 1036.53i | −0.101814 | − | 0.113076i | ||||
\(439\) | 3318.42 | + | 5747.66i | 0.360773 | + | 0.624877i | 0.988088 | − | 0.153888i | \(-0.0491796\pi\) |
−0.627315 | + | 0.778765i | \(0.715846\pi\) | |||||||
\(440\) | 1203.02 | + | 1222.78i | 0.130345 | + | 0.132486i | ||||
\(441\) | − | 1999.27i | − | 0.215881i | ||||||
\(442\) | −1414.73 | + | 227.119i | −0.152244 | + | 0.0244411i | ||||
\(443\) | −4981.38 | + | 3619.19i | −0.534250 | + | 0.388155i | −0.821945 | − | 0.569567i | \(-0.807111\pi\) |
0.287695 | + | 0.957722i | \(0.407111\pi\) | |||||||
\(444\) | −8972.67 | − | 11080.3i | −0.959063 | − | 1.18434i | ||||
\(445\) | 5719.48 | − | 6352.13i | 0.609280 | − | 0.676674i | ||||
\(446\) | −221.775 | − | 47.1397i | −0.0235456 | − | 0.00500478i | ||||
\(447\) | 1083.55 | + | 6841.28i | 0.114654 | + | 0.723896i | ||||
\(448\) | 1189.11 | − | 1468.43i | 0.125402 | − | 0.154859i | ||||
\(449\) | 641.621 | − | 12242.9i | 0.0674387 | − | 1.28681i | −0.730017 | − | 0.683429i | \(-0.760488\pi\) |
0.797455 | − | 0.603378i | \(-0.206179\pi\) | |||||||
\(450\) | 42.7935 | − | 42.7935i | 0.00448290 | − | 0.00448290i | ||||
\(451\) | 10339.2 | − | 2109.79i | 1.07950 | − | 0.220280i | ||||
\(452\) | −10706.0 | + | 6181.12i | −1.11409 | + | 0.643220i | ||||
\(453\) | −1235.85 | + | 1903.05i | −0.128180 | + | 0.197380i | ||||
\(454\) | −698.175 | − | 960.956i | −0.0721740 | − | 0.0993390i | ||||
\(455\) | 190.961 | + | 1780.87i | 0.0196756 | + | 0.183491i | ||||
\(456\) | 874.888 | + | 2692.63i | 0.0898474 | + | 0.276522i | ||||
\(457\) | 3045.47 | − | 159.606i | 0.311731 | − | 0.0163371i | 0.104171 | − | 0.994559i | \(-0.466781\pi\) |
0.207560 | + | 0.978222i | \(0.433448\pi\) | |||||||
\(458\) | 866.670 | + | 91.0907i | 0.0884211 | + | 0.00929343i | ||||
\(459\) | 1575.23 | + | 14987.3i | 0.160186 | + | 1.52407i | ||||
\(460\) | −162.327 | − | 318.586i | −0.0164534 | − | 0.0322916i | ||||
\(461\) | −11393.6 | + | 3052.91i | −1.15109 | + | 0.308434i | −0.783403 | − | 0.621515i | \(-0.786518\pi\) |
−0.367689 | + | 0.929949i | \(0.619851\pi\) | |||||||
\(462\) | 8.97783 | + | 202.923i | 0.000904083 | + | 0.0204347i | ||||
\(463\) | 2185.21 | + | 2185.21i | 0.219342 | + | 0.219342i | 0.808221 | − | 0.588879i | \(-0.200431\pi\) |
−0.588879 | + | 0.808221i | \(0.700431\pi\) | |||||||
\(464\) | 1578.92 | − | 1421.66i | 0.157973 | − | 0.142240i | ||||
\(465\) | 930.635 | − | 2090.24i | 0.0928112 | − | 0.208457i | ||||
\(466\) | 18.7577 | − | 15.1896i | 0.00186466 | − | 0.00150997i | ||||
\(467\) | 1444.72 | − | 469.419i | 0.143156 | − | 0.0465142i | −0.236563 | − | 0.971616i | \(-0.576021\pi\) |
0.379719 | + | 0.925102i | \(0.376021\pi\) | |||||||
\(468\) | 1136.04 | + | 1958.16i | 0.112208 | + | 0.193411i | ||||
\(469\) | −516.544 | + | 710.961i | −0.0508566 | + | 0.0699982i | ||||
\(470\) | 333.642 | + | 869.168i | 0.0327442 | + | 0.0853015i | ||||
\(471\) | −5782.58 | + | 1229.13i | −0.565705 | + | 0.120244i | ||||
\(472\) | 1515.52 | − | 2624.97i | 0.147792 | − | 0.255983i | ||||
\(473\) | 5912.41 | + | 4868.05i | 0.574742 | + | 0.473220i | ||||
\(474\) | 38.4829 | + | 143.620i | 0.00372907 | + | 0.0139171i | ||||
\(475\) | 4088.33 | + | 214.260i | 0.394917 | + | 0.0206967i | ||||
\(476\) | −3085.57 | − | 488.707i | −0.297116 | − | 0.0470585i | ||||
\(477\) | 1718.63 | − | 765.185i | 0.164970 | − | 0.0734495i | ||||
\(478\) | −1037.58 | − | 934.241i | −0.0992841 | − | 0.0893958i | ||||
\(479\) | −365.485 | − | 6973.87i | −0.0348631 | − | 0.665228i | −0.959041 | − | 0.283266i | \(-0.908582\pi\) |
0.924178 | − | 0.381962i | \(-0.124751\pi\) | |||||||
\(480\) | 2065.82 | + | 1500.90i | 0.196440 | + | 0.142722i | ||||
\(481\) | 1006.74 | + | 18467.1i | 0.0954329 | + | 1.75058i | ||||
\(482\) | −3.14545 | + | 9.68069i | −0.000297243 | + | 0.000914821i | ||||
\(483\) | 22.0473 | − | 82.2815i | 0.00207699 | − | 0.00775143i | ||||
\(484\) | 929.271 | + | 10481.5i | 0.0872719 | + | 0.984360i | ||||
\(485\) | 14716.8 | + | 8496.77i | 1.37785 | + | 0.795502i | ||||
\(486\) | −459.079 | + | 233.913i | −0.0428483 | + | 0.0218323i | ||||
\(487\) | 1227.12 | + | 993.698i | 0.114180 | + | 0.0924615i | 0.684710 | − | 0.728815i | \(-0.259929\pi\) |
−0.570530 | + | 0.821277i | \(0.693262\pi\) | |||||||
\(488\) | 856.306 | + | 328.705i | 0.0794327 | + | 0.0304913i | ||||
\(489\) | 2206.21 | − | 4329.93i | 0.204025 | − | 0.400422i | ||||
\(490\) | −201.128 | + | 946.235i | −0.0185430 | + | 0.0872378i | ||||
\(491\) | −773.404 | + | 7358.45i | −0.0710860 | + | 0.676338i | 0.899719 | + | 0.436469i | \(0.143771\pi\) |
−0.970805 | + | 0.239869i | \(0.922895\pi\) | |||||||
\(492\) | 9757.32 | − | 3745.49i | 0.894094 | − | 0.343210i | ||||
\(493\) | −3258.80 | − | 1058.85i | −0.297706 | − | 0.0967304i | ||||
\(494\) | 560.425 | − | 1737.22i | 0.0510419 | − | 0.158221i | ||||
\(495\) | −2136.28 | + | 206.952i | −0.193977 | + | 0.0187915i | ||||
\(496\) | 3100.57 | + | 830.796i | 0.280685 | + | 0.0752093i | ||||
\(497\) | 67.5478 | + | 317.788i | 0.00609645 | + | 0.0286815i | ||||
\(498\) | −108.402 | + | 11.3935i | −0.00975420 | + | 0.00102521i | ||||
\(499\) | −2150.29 | + | 340.573i | −0.192907 | + | 0.0305534i | −0.252140 | − | 0.967691i | \(-0.581134\pi\) |
0.0592335 | + | 0.998244i | \(0.481134\pi\) | |||||||
\(500\) | 10041.3 | − | 6520.92i | 0.898125 | − | 0.583249i | ||||
\(501\) | 1276.44 | − | 828.927i | 0.113826 | − | 0.0739196i | ||||
\(502\) | −16.7576 | + | 2.65415i | −0.00148990 | + | 0.000235977i | ||||
\(503\) | −12246.9 | + | 1287.20i | −1.08561 | + | 0.114102i | −0.630390 | − | 0.776278i | \(-0.717105\pi\) |
−0.455217 | + | 0.890380i | \(0.650438\pi\) | |||||||
\(504\) | −24.6100 | − | 115.781i | −0.00217503 | − | 0.0102327i | ||||
\(505\) | −6059.67 | − | 1623.68i | −0.533964 | − | 0.143075i | ||||
\(506\) | −11.3548 | + | 51.3593i | −0.000997595 | + | 0.00451225i | ||||
\(507\) | −1007.67 | + | 9991.01i | −0.0882682 | + | 0.875180i | ||||
\(508\) | 18655.3 | + | 6061.47i | 1.62932 | + | 0.529398i | ||||
\(509\) | −14259.2 | + | 5473.61i | −1.24171 | + | 0.476647i | −0.888491 | − | 0.458894i | \(-0.848246\pi\) |
−0.353218 | + | 0.935541i | \(0.614913\pi\) | |||||||
\(510\) | 140.639 | − | 1338.09i | 0.0122109 | − | 0.116179i | ||||
\(511\) | −820.160 | + | 3858.55i | −0.0710015 | + | 0.334036i | ||||
\(512\) | −2721.33 | + | 5340.92i | −0.234897 | + | 0.461011i | ||||
\(513\) | −17923.2 | − | 6880.08i | −1.54255 | − | 0.592130i | ||||
\(514\) | 1026.91 | + | 831.572i | 0.0881223 | + | 0.0713600i | ||||
\(515\) | 9536.69 | − | 4859.19i | 0.815994 | − | 0.415770i | ||||
\(516\) | 6569.21 | + | 3792.74i | 0.560452 | + | 0.323577i | ||||
\(517\) | −3639.60 | + | 10898.6i | −0.309612 | + | 0.927120i | ||||
\(518\) | 124.399 | − | 464.262i | 0.0105517 | − | 0.0393793i | ||||
\(519\) | −6395.42 | + | 19683.1i | −0.540902 | + | 1.66472i | ||||
\(520\) | −685.426 | − | 2094.54i | −0.0578037 | − | 0.176638i | ||||
\(521\) | 13612.5 | + | 9890.10i | 1.14468 | + | 0.831656i | 0.987764 | − | 0.155956i | \(-0.0498458\pi\) |
0.156913 | + | 0.987612i | \(0.449846\pi\) | |||||||
\(522\) | −3.37720 | − | 64.4408i | −0.000283173 | − | 0.00540326i | ||||
\(523\) | 8951.85 | + | 8060.28i | 0.748446 | + | 0.673903i | 0.952323 | − | 0.305093i | \(-0.0986876\pi\) |
−0.203877 | + | 0.978997i | \(0.565354\pi\) | |||||||
\(524\) | 12043.1 | − | 5361.93i | 1.00402 | − | 0.447017i | ||||
\(525\) | 578.084 | + | 91.5595i | 0.0480565 | + | 0.00761140i | ||||
\(526\) | −609.853 | − | 31.9611i | −0.0505530 | − | 0.00264937i | ||||
\(527\) | −1339.86 | − | 5000.42i | −0.110750 | − | 0.413324i | ||||
\(528\) | 2583.79 | + | 9966.91i | 0.212964 | + | 0.821504i | ||||
\(529\) | −6072.47 | + | 10517.8i | −0.499093 | + | 0.864455i | ||||
\(530\) | −890.389 | + | 189.258i | −0.0729737 | + | 0.0155110i | ||||
\(531\) | 1359.11 | + | 3540.60i | 0.111074 | + | 0.289358i | ||||
\(532\) | 2339.32 | − | 3219.80i | 0.190644 | − | 0.262399i | ||||
\(533\) | −13102.7 | − | 3481.36i | −1.06480 | − | 0.282917i | ||||
\(534\) | −1184.46 | + | 384.855i | −0.0959863 | + | 0.0311878i | ||||
\(535\) | 8670.62 | − | 7021.33i | 0.700680 | − | 0.567399i | ||||
\(536\) | 439.812 | − | 987.835i | 0.0354422 | − | 0.0796044i | ||||
\(537\) | −15382.7 | + | 13850.7i | −1.23615 | + | 1.11304i | ||||
\(538\) | 492.298 | + | 492.298i | 0.0394507 | + | 0.0394507i | ||||
\(539\) | −9339.36 | + | 7437.72i | −0.746336 | + | 0.594370i | ||||
\(540\) | −11128.2 | + | 2981.78i | −0.886814 | + | 0.237621i | ||||
\(541\) | −4541.03 | − | 8912.28i | −0.360876 | − | 0.708260i | 0.637171 | − | 0.770723i | \(-0.280105\pi\) |
−0.998047 | + | 0.0624627i | \(0.980105\pi\) | |||||||
\(542\) | −10.3947 | − | 98.8992i | −0.000823786 | − | 0.00783780i | ||||
\(543\) | 8130.62 | + | 854.562i | 0.642575 | + | 0.0675373i | ||||
\(544\) | 5769.45 | − | 302.364i | 0.454712 | − | 0.0238304i | ||||
\(545\) | −4090.94 | − | 12590.6i | −0.321535 | − | 0.989583i | ||||
\(546\) | 105.643 | − | 238.626i | 0.00828040 | − | 0.0187038i | ||||
\(547\) | 2151.99 | + | 2961.96i | 0.168213 | + | 0.231525i | 0.884798 | − | 0.465974i | \(-0.154296\pi\) |
−0.716585 | + | 0.697499i | \(0.754296\pi\) | |||||||
\(548\) | −2565.51 | + | 3950.54i | −0.199988 | + | 0.307954i | ||||
\(549\) | −993.894 | + | 573.825i | −0.0772647 | + | 0.0446088i | ||||
\(550\) | −359.105 | − | 40.7038i | −0.0278406 | − | 0.00315566i | ||||
\(551\) | 3086.68 | − | 3086.68i | 0.238651 | − | 0.238651i | ||||
\(552\) | −5.48561 | + | 104.672i | −0.000422976 | + | 0.00807087i | ||||
\(553\) | 264.640 | − | 326.803i | 0.0203502 | − | 0.0251304i | ||||
\(554\) | 66.1085 | + | 417.392i | 0.00506982 | + | 0.0320096i | ||||
\(555\) | −16987.1 | − | 3610.72i | −1.29921 | − | 0.276156i | ||||
\(556\) | 15244.8 | − | 16931.0i | 1.16281 | − | 1.29143i | ||||
\(557\) | −1407.03 | − | 1737.54i | −0.107034 | − | 0.132176i | 0.720814 | − | 0.693129i | \(-0.243768\pi\) |
−0.827848 | + | 0.560953i | \(0.810435\pi\) | |||||||
\(558\) | 78.8726 | − | 57.3043i | 0.00598377 | − | 0.00434746i | ||||
\(559\) | −4021.00 | − | 8980.47i | −0.304240 | − | 0.679488i | ||||
\(560\) | − | 2359.48i | − | 0.178047i | ||||||
\(561\) | 11837.0 | − | 11645.7i | 0.890838 | − | 0.876441i | ||||
\(562\) | −468.647 | − | 811.721i | −0.0351756 | − | 0.0609259i | ||||
\(563\) | −16794.6 | − | 18652.3i | −1.25721 | − | 1.39627i | −0.883301 | − | 0.468806i | \(-0.844684\pi\) |
−0.373908 | − | 0.927466i | \(-0.621982\pi\) | |||||||
\(564\) | −1780.31 | + | 11240.4i | −0.132916 | + | 0.839197i | ||||
\(565\) | −5396.25 | + | 14057.7i | −0.401809 | + | 1.04675i | ||||
\(566\) | 1181.63 | + | 1819.55i | 0.0877520 | + | 0.135126i | ||||
\(567\) | −1862.33 | − | 948.904i | −0.137937 | − | 0.0702826i | ||||
\(568\) | −162.597 | − | 365.198i | −0.0120113 | − | 0.0269778i | ||||
\(569\) | 8733.02 | + | 3888.19i | 0.643422 | + | 0.286470i | 0.702392 | − | 0.711790i | \(-0.252115\pi\) |
−0.0589706 | + | 0.998260i | \(0.518782\pi\) | |||||||
\(570\) | 1437.53 | + | 933.542i | 0.105634 | + | 0.0685996i | ||||
\(571\) | 14080.2 | 1.03194 | 0.515970 | − | 0.856607i | \(-0.327432\pi\) | ||||
0.515970 | + | 0.856607i | \(0.327432\pi\) | |||||||
\(572\) | 4921.02 | − | 12591.7i | 0.359717 | − | 0.920426i | ||||
\(573\) | −14640.8 | −1.06742 | ||||||||
\(574\) | 295.488 | + | 191.892i | 0.0214868 | + | 0.0139537i | ||||
\(575\) | 138.461 | + | 61.6466i | 0.0100421 | + | 0.00447103i | ||||
\(576\) | −1183.21 | − | 2657.53i | −0.0855910 | − | 0.192241i | ||||
\(577\) | −15100.5 | − | 7694.11i | −1.08950 | − | 0.555130i | −0.185495 | − | 0.982645i | \(-0.559389\pi\) |
−0.904008 | + | 0.427515i | \(0.859389\pi\) | |||||||
\(578\) | −836.559 | − | 1288.19i | −0.0602012 | − | 0.0927017i | ||||
\(579\) | −5632.72 | + | 14673.7i | −0.404297 | + | 1.05323i | ||||
\(580\) | 409.783 | − | 2587.27i | 0.0293368 | − | 0.185225i | ||||
\(581\) | 206.274 | + | 229.090i | 0.0147292 | + | 0.0163585i | ||||
\(582\) | −1238.01 | − | 2144.29i | −0.0881735 | − | 0.152721i | ||||
\(583\) | −9968.15 | − | 5181.74i | −0.708128 | − | 0.368106i | ||||
\(584\) | − | 4853.84i | − | 0.343927i | ||||||
\(585\) | 2576.40 | + | 982.780i | 0.182087 | + | 0.0694580i | ||||
\(586\) | 2007.89 | − | 1458.82i | 0.141545 | − | 0.102838i | ||||
\(587\) | 9243.72 | + | 11415.0i | 0.649965 | + | 0.802639i | 0.990488 | − | 0.137596i | \(-0.0439377\pi\) |
−0.340524 | + | 0.940236i | \(0.610604\pi\) | |||||||
\(588\) | −7912.55 | + | 8787.78i | −0.554946 | + | 0.616330i | ||||
\(589\) | 6450.93 | + | 1371.19i | 0.451283 | + | 0.0959232i | ||||
\(590\) | −287.065 | − | 1812.46i | −0.0200310 | − | 0.126471i | ||||
\(591\) | 3089.65 | − | 3815.40i | 0.215044 | − | 0.265557i | ||||
\(592\) | 1275.11 | − | 24330.5i | 0.0885247 | − | 1.68915i | ||||
\(593\) | −3773.16 | + | 3773.16i | −0.261290 | + | 0.261290i | −0.825578 | − | 0.564288i | \(-0.809151\pi\) |
0.564288 | + | 0.825578i | \(0.309151\pi\) | |||||||
\(594\) | 1542.60 | + | 701.923i | 0.106555 | + | 0.0484853i | ||||
\(595\) | −3295.43 | + | 1902.62i | −0.227058 | + | 0.131092i | ||||
\(596\) | −6525.19 | + | 10047.9i | −0.448460 | + | 0.690568i | ||||
\(597\) | 11794.6 | + | 16233.9i | 0.808580 | + | 1.11291i | ||||
\(598\) | 42.4180 | − | 52.6075i | 0.00290067 | − | 0.00359746i | ||||
\(599\) | 1667.31 | + | 5131.45i | 0.113730 | + | 0.350026i | 0.991680 | − | 0.128727i | \(-0.0410891\pi\) |
−0.877950 | + | 0.478753i | \(0.841089\pi\) | |||||||
\(600\) | −719.186 | + | 37.6909i | −0.0489344 | + | 0.00256454i | ||||
\(601\) | −19179.4 | − | 2015.84i | −1.30174 | − | 0.136818i | −0.571836 | − | 0.820368i | \(-0.693769\pi\) |
−0.729904 | + | 0.683549i | \(0.760435\pi\) | |||||||
\(602\) | 26.7292 | + | 254.312i | 0.00180964 | + | 0.0172176i | ||||
\(603\) | 614.233 | + | 1205.50i | 0.0414817 | + | 0.0814125i | ||||
\(604\) | −3791.13 | + | 1015.83i | −0.255396 | + | 0.0684331i | ||||
\(605\) | 8914.15 | + | 9209.46i | 0.599028 | + | 0.618872i | ||||
\(606\) | 646.337 | + | 646.337i | 0.0433261 | + | 0.0433261i | ||||
\(607\) | −679.965 | + | 612.243i | −0.0454677 | + | 0.0409393i | −0.691551 | − | 0.722327i | \(-0.743072\pi\) |
0.646084 | + | 0.763267i | \(0.276406\pi\) | |||||||
\(608\) | −2993.63 | + | 6723.81i | −0.199684 | + | 0.448498i | ||||
\(609\) | 484.995 | − | 392.742i | 0.0322709 | − | 0.0261325i | ||||
\(610\) | 528.127 | − | 171.599i | 0.0350545 | − | 0.0113899i | ||||
\(611\) | 10416.6 | − | 10460.5i | 0.689708 | − | 0.692613i | ||||
\(612\) | −2827.05 | + | 3891.09i | −0.186726 | + | 0.257007i | ||||
\(613\) | 4612.38 | + | 12015.7i | 0.303902 | + | 0.791693i | 0.997456 | + | 0.0712876i | \(0.0227108\pi\) |
−0.693553 | + | 0.720405i | \(0.743956\pi\) | |||||||
\(614\) | 1157.42 | − | 246.017i | 0.0760742 | − | 0.0161701i | ||||
\(615\) | 6365.23 | − | 11024.9i | 0.417351 | − | 0.722873i | ||||
\(616\) | −449.302 | + | 545.692i | −0.0293878 | + | 0.0356925i | ||||
\(617\) | −894.975 | − | 3340.09i | −0.0583960 | − | 0.217937i | 0.930562 | − | 0.366135i | \(-0.119319\pi\) |
−0.988958 | + | 0.148198i | \(0.952653\pi\) | |||||||
\(618\) | −1557.36 | − | 81.6180i | −0.101370 | − | 0.00531255i | ||||
\(619\) | 1287.57 | + | 203.931i | 0.0836053 | + | 0.0132418i | 0.198097 | − | 0.980182i | \(-0.436524\pi\) |
−0.114492 | + | 0.993424i | \(0.536524\pi\) | |||||||
\(620\) | 3615.46 | − | 1609.71i | 0.234194 | − | 0.104270i | ||||
\(621\) | −528.192 | − | 475.586i | −0.0341314 | − | 0.0307321i | ||||
\(622\) | 61.0562 | + | 1165.02i | 0.00393590 | + | 0.0751015i | ||||
\(623\) | 2849.60 | + | 2070.36i | 0.183253 | + | 0.133141i | ||||
\(624\) | 2723.16 | − | 12945.2i | 0.174701 | − | 0.830483i | ||||
\(625\) | 3260.07 | − | 10033.5i | 0.208645 | − | 0.642143i | ||||
\(626\) | 30.2590 | − | 112.928i | 0.00193194 | − | 0.00721008i | ||||
\(627\) | 6373.01 | + | 20171.8i | 0.405922 | + | 1.28482i | ||||
\(628\) | −8855.54 | − | 5112.75i | −0.562698 | − | 0.324874i | ||||
\(629\) | −35010.0 | + | 17838.5i | −2.21930 | + | 1.13079i | ||||
\(630\) | −55.6916 | − | 45.0982i | −0.00352192 | − | 0.00285199i | ||||
\(631\) | 21135.4 | + | 8113.12i | 1.33342 | + | 0.511852i | 0.917567 | − | 0.397581i | \(-0.130150\pi\) |
0.415852 | + | 0.909432i | \(0.363484\pi\) | |||||||
\(632\) | −234.907 | + | 461.031i | −0.0147850 | + | 0.0290172i | ||||
\(633\) | −2126.32 | + | 10003.6i | −0.133513 | + | 0.628129i | ||||
\(634\) | 232.476 | − | 2211.86i | 0.0145628 | − | 0.138556i | ||||
\(635\) | 22305.5 | − | 8562.29i | 1.39396 | − | 0.535093i | ||||
\(636\) | −10582.6 | − | 3438.50i | −0.659792 | − | 0.214379i | ||||
\(637\) | 14997.2 | − | 3220.70i | 0.932824 | − | 0.200327i | ||||
\(638\) | −288.464 | + | 255.510i | −0.0179003 | + | 0.0158554i | ||||
\(639\) | 483.141 | + | 129.457i | 0.0299105 | + | 0.00801448i | ||||
\(640\) | 1221.89 | + | 5748.52i | 0.0754677 | + | 0.355047i | ||||
\(641\) | −2473.88 | + | 260.016i | −0.152438 | + | 0.0160219i | −0.180440 | − | 0.983586i | \(-0.557752\pi\) |
0.0280022 | + | 0.999608i | \(0.491085\pi\) | |||||||
\(642\) | −1605.60 | + | 254.301i | −0.0987038 | + | 0.0156331i | ||||
\(643\) | 949.370 | − | 616.528i | 0.0582263 | − | 0.0378126i | −0.515198 | − | 0.857071i | \(-0.672281\pi\) |
0.573424 | + | 0.819259i | \(0.305615\pi\) | |||||||
\(644\) | 123.571 | − | 80.2480i | 0.00756116 | − | 0.00491027i | ||||
\(645\) | 9125.73 | − | 1445.37i | 0.557094 | − | 0.0882350i | ||||
\(646\) | 3856.87 | − | 405.374i | 0.234902 | − | 0.0246892i | ||||
\(647\) | 4853.44 | + | 22833.6i | 0.294912 | + | 1.38745i | 0.837033 | + | 0.547153i | \(0.184288\pi\) |
−0.542120 | + | 0.840301i | \(0.682378\pi\) | |||||||
\(648\) | 2484.19 | + | 665.637i | 0.150599 | + | 0.0403529i | ||||
\(649\) | 11483.3 | − | 19520.7i | 0.694545 | − | 1.18067i | ||||
\(650\) | 389.944 | + | 252.070i | 0.0235306 | + | 0.0152107i | ||||
\(651\) | 896.712 | + | 291.359i | 0.0539860 | + | 0.0175411i | ||||
\(652\) | 7847.27 | − | 3012.29i | 0.471354 | − | 0.180936i | ||||
\(653\) | 1041.35 | − | 9907.83i | 0.0624064 | − | 0.593757i | −0.917974 | − | 0.396641i | \(-0.870176\pi\) |
0.980380 | − | 0.197116i | \(-0.0631575\pi\) | |||||||
\(654\) | −401.041 | + | 1886.75i | −0.0239785 | + | 0.112810i | ||||
\(655\) | 7289.87 | − | 14307.2i | 0.434868 | − | 0.853477i | ||||
\(656\) | 16673.5 | + | 6400.37i | 0.992366 | + | 0.380934i | ||||
\(657\) | 4719.76 | + | 3821.99i | 0.280267 | + | 0.226956i | ||||
\(658\) | −341.832 | + | 174.172i | −0.0202523 | + | 0.0103191i | ||||
\(659\) | −23306.1 | − | 13455.8i | −1.37766 | − | 0.795390i | −0.385779 | − | 0.922591i | \(-0.626067\pi\) |
−0.991877 | + | 0.127201i | \(0.959401\pi\) | |||||||
\(660\) | 10209.0 | + | 7545.12i | 0.602100 | + | 0.444990i | ||||
\(661\) | 7067.03 | − | 26374.5i | 0.415848 | − | 1.55197i | −0.367283 | − | 0.930109i | \(-0.619712\pi\) |
0.783131 | − | 0.621857i | \(-0.213621\pi\) | |||||||
\(662\) | 501.611 | − | 1543.80i | 0.0294497 | − | 0.0906367i | ||||
\(663\) | −20276.1 | + | 6635.22i | −1.18772 | + | 0.388674i | ||||
\(664\) | −306.872 | − | 222.955i | −0.0179351 | − | 0.0130306i | ||||
\(665\) | −253.709 | − | 4841.07i | −0.0147946 | − | 0.282298i | ||||
\(666\) | −549.909 | − | 495.140i | −0.0319948 | − | 0.0288082i | ||||
\(667\) | 147.635 | − | 65.7315i | 0.00857041 | − | 0.00381579i | ||||
\(668\) | 2600.13 | + | 411.819i | 0.150602 | + | 0.0238530i | ||||
\(669\) | −3371.23 | − | 176.679i | −0.194827 | − | 0.0102105i | ||||
\(670\) | −169.436 | − | 632.343i | −0.00976996 | − | 0.0364620i | ||||
\(671\) | 6378.05 | + | 2508.10i | 0.366948 | + | 0.144299i | ||||
\(672\) | −526.119 | + | 911.265i | −0.0302016 | + | 0.0523107i | ||||
\(673\) | 3222.59 | − | 684.982i | 0.184579 | − | 0.0392335i | −0.114695 | − | 0.993401i | \(-0.536589\pi\) |
0.299274 | + | 0.954167i | \(0.403256\pi\) | |||||||
\(674\) | 587.482 | + | 1530.44i | 0.0335741 | + | 0.0874636i | ||||
\(675\) | 2870.44 | − | 3950.83i | 0.163679 | − | 0.225285i | ||||
\(676\) | −12858.7 | + | 11676.3i | −0.731606 | + | 0.664329i | ||||
\(677\) | −18973.7 | + | 6164.91i | −1.07713 | + | 0.349981i | −0.793260 | − | 0.608882i | \(-0.791618\pi\) |
−0.283869 | + | 0.958863i | \(0.591618\pi\) | |||||||
\(678\) | 1705.04 | − | 1380.71i | 0.0965805 | − | 0.0782094i | ||||
\(679\) | −2848.25 | + | 6397.26i | −0.160980 | + | 0.361568i | ||||
\(680\) | 3479.53 | − | 3132.98i | 0.196226 | − | 0.176683i | ||||
\(681\) | −12505.7 | − | 12505.7i | −0.703698 | − | 0.703698i | ||||
\(682\) | −561.113 | − | 155.260i | −0.0315046 | − | 0.00871730i | ||||
\(683\) | −6191.78 | + | 1659.08i | −0.346884 | + | 0.0929473i | −0.428054 | − | 0.903753i | \(-0.640801\pi\) |
0.0811705 | + | 0.996700i | \(0.474134\pi\) | |||||||
\(684\) | −2781.74 | − | 5459.47i | −0.155501 | − | 0.305187i | ||||
\(685\) | 599.743 | + | 5706.17i | 0.0334525 | + | 0.318280i | ||||
\(686\) | −811.977 | − | 85.3423i | −0.0451916 | − | 0.00474983i | ||||
\(687\) | 12957.5 | − | 679.072i | 0.719590 | − | 0.0377121i | ||||
\(688\) | 4005.55 | + | 12327.8i | 0.221962 | + | 0.683130i | ||||
\(689\) | 8508.49 | + | 11659.3i | 0.470461 | + | 0.644681i | ||||
\(690\) | 37.2991 | + | 51.3377i | 0.00205790 | + | 0.00283246i | ||||
\(691\) | −3333.28 | + | 5132.80i | −0.183508 | + | 0.282577i | −0.918438 | − | 0.395566i | \(-0.870548\pi\) |
0.734930 | + | 0.678143i | \(0.237215\pi\) | |||||||
\(692\) | −31001.6 | + | 17898.8i | −1.70304 | + | 0.983252i | ||||
\(693\) | −176.831 | − | 866.578i | −0.00969301 | − | 0.0475015i | ||||
\(694\) | −131.271 | + | 131.271i | −0.00718011 | + | 0.00718011i | ||||
\(695\) | 1452.36 | − | 27712.7i | 0.0792680 | − | 1.51252i | ||||
\(696\) | −483.251 | + | 596.765i | −0.0263184 | + | 0.0325005i | ||||
\(697\) | −4505.81 | − | 28448.6i | −0.244863 | − | 1.54601i | ||||
\(698\) | 838.528 | + | 178.235i | 0.0454710 | + | 0.00966516i | ||||
\(699\) | 240.471 | − | 267.070i | 0.0130121 | − | 0.0144514i | ||||
\(700\) | 637.103 | + | 786.757i | 0.0344003 | + | 0.0424809i | ||||
\(701\) | 23600.0 | − | 17146.4i | 1.27155 | − | 0.923838i | 0.272291 | − | 0.962215i | \(-0.412219\pi\) |
0.999263 | + | 0.0383767i | \(0.0122187\pi\) | |||||||
\(702\) | −1373.85 | − | 1689.29i | −0.0738640 | − | 0.0908236i | ||||
\(703\) | − | 50057.2i | − | 2.68555i | ||||||
\(704\) | −8012.56 | + | 15413.8i | −0.428955 | + | 0.825185i | ||||
\(705\) | 6931.03 | + | 12004.9i | 0.370266 | + | 0.641320i | ||||
\(706\) | −1834.26 | − | 2037.16i | −0.0977811 | − | 0.108597i | ||||
\(707\) | 404.406 | − | 2553.32i | 0.0215124 | − | 0.135824i | ||||
\(708\) | 8038.74 | − | 20941.6i | 0.426715 | − | 1.11163i | ||||
\(709\) | −10388.4 | − | 15996.7i | −0.550274 | − | 0.847348i | 0.448651 | − | 0.893707i | \(-0.351905\pi\) |
−0.998925 | + | 0.0463595i | \(0.985238\pi\) | |||||||
\(710\) | −215.642 | − | 109.875i | −0.0113985 | − | 0.00580781i | ||||
\(711\) | −263.327 | − | 591.442i | −0.0138896 | − | 0.0311966i | ||||
\(712\) | −3959.34 | − | 1762.81i | −0.208402 | − | 0.0927867i | ||||
\(713\) | 204.769 | + | 132.978i | 0.0107555 | + | 0.00698468i | ||||
\(714\) | 554.434 | 0.0290605 | ||||||||
\(715\) | −4993.81 | − | 15691.5i | −0.261200 | − | 0.820738i | ||||
\(716\) | −35803.6 | −1.86878 | ||||||||
\(717\) | −17434.8 | − | 11322.3i | −0.908107 | − | 0.589732i | ||||
\(718\) | 2064.89 | + | 919.350i | 0.107328 | + | 0.0477853i | ||||
\(719\) | 11298.4 | + | 25376.7i | 0.586038 | + | 1.31626i | 0.926603 | + | 0.376041i | \(0.122715\pi\) |
−0.340565 | + | 0.940221i | \(0.610618\pi\) | |||||||
\(720\) | −3236.65 | − | 1649.15i | −0.167532 | − | 0.0853616i | ||||
\(721\) | 2402.18 | + | 3699.04i | 0.124080 | + | 0.191067i | ||||
\(722\) | −1015.98 | + | 2646.73i | −0.0523698 | + | 0.136428i | ||||
\(723\) | −23.7088 | + | 149.691i | −0.00121955 | + | 0.00769997i | ||||
\(724\) | 9462.09 | + | 10508.7i | 0.485712 | + | 0.539438i | ||||
\(725\) | 555.191 | + | 961.619i | 0.0284404 | + | 0.0492602i | ||||
\(726\) | −453.887 | − | 1811.48i | −0.0232030 | − | 0.0926039i | ||||
\(727\) | − | 26167.9i | − | 1.33496i | −0.744630 | − | 0.667478i | \(-0.767374\pi\) | ||
0.744630 | − | 0.667478i | \(-0.232626\pi\) | |||||||
\(728\) | 828.863 | − | 371.122i | 0.0421974 | − | 0.0188938i | ||||
\(729\) | −17712.0 | + | 12868.5i | −0.899861 | + | 0.653787i | ||||
\(730\) | −1849.32 | − | 2283.72i | −0.0937622 | − | 0.115787i | ||||
\(731\) | 13988.0 | − | 15535.2i | 0.707748 | − | 0.786034i | ||||
\(732\) | 6639.68 | + | 1411.31i | 0.335259 | + | 0.0712615i | ||||
\(733\) | −4222.71 | − | 26661.1i | −0.212782 | − | 1.34345i | −0.830484 | − | 0.557042i | \(-0.811936\pi\) |
0.617702 | − | 0.786412i | \(-0.288064\pi\) | |||||||
\(734\) | −1324.35 | + | 1635.43i | −0.0665975 | + | 0.0822411i | ||||
\(735\) | −753.826 | + | 14383.9i | −0.0378303 | + | 0.721845i | ||||
\(736\) | −192.675 | + | 192.675i | −0.00964957 | + | 0.00964957i | ||||
\(737\) | 3346.27 | − | 7354.03i | 0.167248 | − | 0.367557i | ||||
\(738\) | 469.761 | − | 271.217i | 0.0234311 | − | 0.0135279i | ||||
\(739\) | −278.758 | + | 429.249i | −0.0138759 | + | 0.0213670i | −0.845540 | − | 0.533911i | \(-0.820722\pi\) |
0.831665 | + | 0.555278i | \(0.187388\pi\) | |||||||
\(740\) | −17656.3 | − | 24301.9i | −0.877108 | − | 1.20724i | ||||
\(741\) | 4195.28 | − | 26853.0i | 0.207986 | − | 1.33127i | ||||
\(742\) | −115.915 | − | 356.749i | −0.00573499 | − | 0.0176505i | ||||
\(743\) | 34383.5 | − | 1801.96i | 1.69772 | − | 0.0889738i | 0.821294 | − | 0.570506i | \(-0.193253\pi\) |
0.876429 | + | 0.481532i | \(0.159919\pi\) | |||||||
\(744\) | −1153.79 | − | 121.268i | −0.0568548 | − | 0.00597569i | ||||
\(745\) | 1525.40 | + | 14513.2i | 0.0750153 | + | 0.713723i | ||||
\(746\) | −200.221 | − | 392.957i | −0.00982658 | − | 0.0192857i | ||||
\(747\) | 458.432 | − | 122.836i | 0.0224540 | − | 0.00601653i | ||||
\(748\) | 28694.0 | − | 1269.49i | 1.40262 | − | 0.0620552i | ||||
\(749\) | 3250.97 | + | 3250.97i | 0.158595 | + | 0.158595i | ||||
\(750\) | −1579.09 | + | 1421.82i | −0.0768804 | + | 0.0692234i | ||||
\(751\) | −6799.73 | + | 15272.4i | −0.330394 | + | 0.742077i | −1.00000 | 0.000639943i | \(-0.999796\pi\) | |
0.669606 | + | 0.742716i | \(0.266463\pi\) | |||||||
\(752\) | −15113.4 | + | 12238.6i | −0.732884 | + | 0.593478i | ||||
\(753\) | −240.256 | + | 78.0640i | −0.0116274 | + | 0.00377797i | ||||
\(754\) | 477.950 | − | 129.143i | 0.0230848 | − | 0.00623756i | ||||
\(755\) | −2810.02 | + | 3867.66i | −0.135453 | + | 0.186435i | ||||
\(756\) | −1701.33 | − | 4432.12i | −0.0818477 | − | 0.213221i | ||||
\(757\) | 30934.6 | − | 6575.34i | 1.48525 | − | 0.315700i | 0.607309 | − | 0.794466i | \(-0.292249\pi\) |
0.877943 | + | 0.478766i | \(0.158916\pi\) | |||||||
\(758\) | −1476.87 | + | 2558.02i | −0.0707683 | + | 0.122574i | ||||
\(759\) | −47.3579 | + | 781.740i | −0.00226480 | + | 0.0373852i | ||||
\(760\) | 1543.83 | + | 5761.64i | 0.0736849 | + | 0.274996i | ||||
\(761\) | 20179.2 | + | 1057.55i | 0.961229 | + | 0.0503759i | 0.526491 | − | 0.850181i | \(-0.323507\pi\) |
0.434738 | + | 0.900557i | \(0.356841\pi\) | |||||||
\(762\) | −3438.34 | − | 544.580i | −0.163462 | − | 0.0258898i | ||||
\(763\) | 4983.69 | − | 2218.88i | 0.236464 | − | 0.105280i | ||||
\(764\) | −18819.4 | − | 16945.1i | −0.891181 | − | 0.802423i | ||||
\(765\) | 306.605 | + | 5850.38i | 0.0144906 | + | 0.276498i | ||||
\(766\) | −409.340 | − | 297.403i | −0.0193082 | − | 0.0140282i | ||||
\(767\) | −24369.7 | + | 15898.8i | −1.14725 | + | 0.748463i | ||||
\(768\) | −5115.74 | + | 15744.6i | −0.240363 | + | 0.739760i | ||||
\(769\) | 120.349 | − | 449.147i | 0.00564354 | − | 0.0210620i | −0.963047 | − | 0.269335i | \(-0.913196\pi\) |
0.968690 | + | 0.248273i | \(0.0798629\pi\) | |||||||
\(770\) | −3.48610 | + | 427.932i | −0.000163156 | + | 0.0200280i | ||||
\(771\) | 17038.6 | + | 9837.26i | 0.795890 | + | 0.459508i | ||||
\(772\) | −24223.5 | + | 12342.5i | −1.12931 | + | 0.575410i | ||||
\(773\) | 19815.2 | + | 16046.0i | 0.921994 | + | 0.746616i | 0.967638 | − | 0.252342i | \(-0.0812007\pi\) |
−0.0456441 | + | 0.998958i | \(0.514534\pi\) | |||||||
\(774\) | 367.538 | + | 141.084i | 0.0170683 | + | 0.00655191i | ||||
\(775\) | −761.607 | + | 1494.74i | −0.0353003 | + | 0.0692807i | ||||
\(776\) | 1791.47 | − | 8428.19i | 0.0828736 | − | 0.389890i | ||||
\(777\) | 748.049 | − | 7117.21i | 0.0345381 | − | 0.328608i | ||||
\(778\) | 2426.39 | − | 931.404i | 0.111813 | − | 0.0429209i | ||||
\(779\) | 34898.1 | + | 11339.1i | 1.60508 | + | 0.521521i | ||||
\(780\) | −7434.96 | − | 14516.4i | −0.341300 | − | 0.666374i | ||||
\(781\) | −1192.64 | − | 2738.55i | −0.0546430 | − | 0.125471i | ||||
\(782\) | 138.682 | + | 37.1596i | 0.00634175 | + | 0.00169927i | ||||
\(783\) | −1082.61 | − | 5093.30i | −0.0494118 | − | 0.232464i | ||||
\(784\) | −20096.3 | + | 2112.21i | −0.915467 | + | 0.0962195i | ||||
\(785\) | −12301.8 | + | 1948.42i | −0.559326 | + | 0.0885885i | ||||
\(786\) | −1962.15 | + | 1274.24i | −0.0890428 | + | 0.0578251i | ||||
\(787\) | −24700.6 | + | 16040.7i | −1.11878 | + | 0.726545i | −0.965180 | − | 0.261588i | \(-0.915754\pi\) |
−0.153601 | + | 0.988133i | \(0.549087\pi\) | |||||||
\(788\) | 8387.34 | − | 1328.42i | 0.379171 | − | 0.0600547i | ||||
\(789\) | −9042.98 | + | 950.455i | −0.408034 | + | 0.0428861i | ||||
\(790\) | 65.1303 | + | 306.414i | 0.00293321 | + | 0.0137996i | ||||
\(791\) | −5993.59 | − | 1605.98i | −0.269415 | − | 0.0721896i | ||||
\(792\) | 434.521 | + | 997.746i | 0.0194950 | + | 0.0447644i | ||||
\(793\) | −5905.53 | − | 6531.11i | −0.264453 | − | 0.292467i | ||||
\(794\) | 3295.59 | + | 1070.80i | 0.147300 | + | 0.0478607i | ||||
\(795\) | −12653.3 | + | 4857.14i | −0.564486 | + | 0.216686i | ||||
\(796\) | −3628.00 | + | 34518.1i | −0.161547 | + | 1.53701i | ||||
\(797\) | −3789.19 | + | 17826.7i | −0.168406 | + | 0.792290i | 0.810136 | + | 0.586242i | \(0.199393\pi\) |
−0.978542 | + | 0.206047i | \(0.933940\pi\) | |||||||
\(798\) | −320.665 | + | 629.341i | −0.0142248 | + | 0.0279178i | ||||
\(799\) | 29280.3 | + | 11239.7i | 1.29645 | + | 0.497661i | ||||
\(800\) | −1454.97 | − | 1178.21i | −0.0643012 | − | 0.0520701i | ||||
\(801\) | 4831.76 | − | 2461.90i | 0.213136 | − | 0.108598i | ||||
\(802\) | −227.792 | − | 131.516i | −0.0100295 | − | 0.00579051i | ||||
\(803\) | 295.441 | − | 36266.4i | 0.0129837 | − | 1.59379i | ||||
\(804\) | 2071.17 | − | 7729.72i | 0.0908515 | − | 0.339062i | ||||
\(805\) | 55.4591 | − | 170.686i | 0.00242817 | − | 0.00747314i | ||||
\(806\) | 556.915 | + | 499.334i | 0.0243381 | + | 0.0218217i | ||||
\(807\) | 8386.42 | + | 6093.09i | 0.365819 | + | 0.265783i | ||||
\(808\) | 166.476 | + | 3176.55i | 0.00724827 | + | 0.138305i | ||||
\(809\) | −2792.94 | − | 2514.78i | −0.121378 | − | 0.109289i | 0.606207 | − | 0.795307i | \(-0.292690\pi\) |
−0.727585 | + | 0.686018i | \(0.759357\pi\) | |||||||
\(810\) | 1422.41 | − | 633.300i | 0.0617019 | − | 0.0274715i | ||||
\(811\) | 1236.98 | + | 195.919i | 0.0535590 | + | 0.00848292i | 0.183156 | − | 0.983084i | \(-0.441369\pi\) |
−0.129597 | + | 0.991567i | \(0.541369\pi\) | |||||||
\(812\) | 1077.97 | + | 56.4940i | 0.0465878 | + | 0.00244156i | ||||
\(813\) | −383.223 | − | 1430.21i | −0.0165316 | − | 0.0616968i | ||||
\(814\) | −267.210 | + | 4410.86i | −0.0115058 | + | 0.189927i | ||||
\(815\) | 5119.20 | − | 8866.72i | 0.220022 | − | 0.381089i | ||||
\(816\) | 27490.5 | − | 5843.28i | 1.17936 | − | 0.250681i | ||||
\(817\) | 9543.96 | + | 24862.9i | 0.408691 | + | 1.06468i | ||||
\(818\) | −1283.81 | + | 1767.01i | −0.0548746 | + | 0.0755284i | ||||
\(819\) | −291.789 | + | 1098.19i | −0.0124492 | + | 0.0468547i | ||||
\(820\) | 20942.0 | − | 6804.46i | 0.891860 | − | 0.289783i | ||||
\(821\) | −362.777 | + | 293.771i | −0.0154214 | + | 0.0124880i | −0.637000 | − | 0.770864i | \(-0.719825\pi\) |
0.621579 | + | 0.783352i | \(0.286492\pi\) | |||||||
\(822\) | 340.026 | − | 763.711i | 0.0144279 | − | 0.0324057i | ||||
\(823\) | −23925.0 | + | 21542.1i | −1.01333 | + | 0.912408i | −0.996169 | − | 0.0874447i | \(-0.972130\pi\) |
−0.0171624 | + | 0.999853i | \(0.505463\pi\) | |||||||
\(824\) | −3837.50 | − | 3837.50i | −0.162240 | − | 0.162240i | ||||
\(825\) | −5375.83 | + | 237.840i | −0.226864 | + | 0.0100370i | ||||
\(826\) | 730.418 | − | 195.715i | 0.0307682 | − | 0.00824431i | ||||
\(827\) | −2135.25 | − | 4190.66i | −0.0897821 | − | 0.176207i | 0.841749 | − | 0.539869i | \(-0.181526\pi\) |
−0.931531 | + | 0.363662i | \(0.881526\pi\) | |||||||
\(828\) | −23.7114 | − | 225.599i | −0.000995205 | − | 0.00946874i | ||||
\(829\) | 42643.5 | + | 4482.01i | 1.78657 | + | 0.187777i | 0.939235 | − | 0.343275i | \(-0.111536\pi\) |
0.847339 | + | 0.531052i | \(0.178203\pi\) | |||||||
\(830\) | −229.328 | + | 12.0186i | −0.00959049 | + | 0.000502616i | ||||
\(831\) | 1944.39 | + | 5984.21i | 0.0811674 | + | 0.249808i | ||||
\(832\) | 18028.9 | − | 13156.7i | 0.751250 | − | 0.548230i | ||||
\(833\) | 19155.2 | + | 26364.8i | 0.796743 | + | 1.09662i | ||||
\(834\) | −2202.18 | + | 3391.06i | −0.0914331 | + | 0.140795i | ||||
\(835\) | 2776.96 | − | 1603.28i | 0.115091 | − | 0.0664477i | ||||
\(836\) | −15154.6 | + | 33304.9i | −0.626953 | + | 1.37784i | ||||
\(837\) | 5562.77 | − | 5562.77i | 0.229722 | − | 0.229722i | ||||
\(838\) | 69.9550 | − | 1334.82i | 0.00288372 | − | 0.0550246i | ||||
\(839\) | −18839.5 | + | 23264.8i | −0.775221 | + | 0.957318i | −0.999853 | − | 0.0171258i | \(-0.994548\pi\) |
0.224633 | + | 0.974443i | \(0.427882\pi\) | |||||||
\(840\) | 133.402 | + | 842.270i | 0.00547955 | + | 0.0345965i | ||||
\(841\) | −22698.0 | − | 4824.60i | −0.930664 | − | 0.197819i | ||||
\(842\) | −1566.18 | + | 1739.42i | −0.0641023 | + | 0.0711929i | ||||
\(843\) | −8782.62 | − | 10845.6i | −0.358825 | − | 0.443112i | ||||
\(844\) | −14311.2 | + | 10397.7i | −0.583661 | + | 0.424055i | ||||
\(845\) | −3221.73 | + | 20909.5i | −0.131161 | + | 0.851254i | ||||
\(846\) | 590.650i | 0.0240035i | ||||||||
\(847\) | −3390.26 | + | 4049.90i | −0.137533 | + | 0.164293i | ||||
\(848\) | −9507.22 | − | 16467.0i | −0.384999 | − | 0.666838i | ||||
\(849\) | 21615.2 | + | 24006.1i | 0.873772 | + | 0.970422i | ||||
\(850\) | −154.319 | + | 974.333i | −0.00622718 | + | 0.0393169i | ||||
\(851\) | 664.125 | − | 1730.11i | 0.0267520 | − | 0.0696912i | ||||
\(852\) | −1611.29 | − | 2481.16i | −0.0647908 | − | 0.0997691i | ||||
\(853\) | −24013.8 | − | 12235.6i | −0.963911 | − | 0.491137i | −0.100113 | − | 0.994976i | \(-0.531921\pi\) |
−0.863798 | + | 0.503839i | \(0.831921\pi\) | |||||||
\(854\) | 93.0734 | + | 209.046i | 0.00372940 | + | 0.00837636i | ||||
\(855\) | −6818.12 | − | 3035.62i | −0.272719 | − | 0.121422i | ||||
\(856\) | −4744.44 | − | 3081.08i | −0.189441 | − | 0.123025i | ||||
\(857\) | −860.429 | −0.0342960 | −0.0171480 | − | 0.999853i | \(-0.505459\pi\) | ||||
−0.0171480 | + | 0.999853i | \(0.505459\pi\) | |||||||
\(858\) | −513.017 | + | 2343.80i | −0.0204127 | + | 0.0932586i | ||||
\(859\) | 6816.55 | 0.270754 | 0.135377 | − | 0.990794i | \(-0.456775\pi\) | ||||
0.135377 | + | 0.990794i | \(0.456775\pi\) | |||||||
\(860\) | 13403.1 | + | 8704.09i | 0.531445 | + | 0.345125i | ||||
\(861\) | 4792.42 | + | 2133.72i | 0.189692 | + | 0.0844565i | ||||
\(862\) | 1110.97 | + | 2495.28i | 0.0438977 | + | 0.0985958i | ||||
\(863\) | 1580.12 | + | 805.113i | 0.0623268 | + | 0.0317571i | 0.484876 | − | 0.874583i | \(-0.338865\pi\) |
−0.422549 | + | 0.906340i | \(0.638865\pi\) | |||||||
\(864\) | 4781.70 | + | 7363.18i | 0.188283 | + | 0.289931i | ||||
\(865\) | −15626.0 | + | 40707.2i | −0.614220 | + | 1.60010i | ||||
\(866\) | −205.277 | + | 1296.07i | −0.00805497 | + | 0.0508571i | ||||
\(867\) | −15302.9 | − | 16995.6i | −0.599441 | − | 0.665747i | ||||
\(868\) | 815.424 | + | 1412.36i | 0.0318863 | + | 0.0552287i | ||||
\(869\) | −1783.22 | + | 3430.39i | −0.0696105 | + | 0.133910i | ||||
\(870\) | 464.896i | 0.0181166i | ||||||||
\(871\) | −8053.33 | + | 6549.53i | −0.313291 | + | 0.254790i | ||||
\(872\) | −5430.56 | + | 3945.53i | −0.210897 | + | 0.153225i | ||||
\(873\) | 6784.75 | + | 8378.47i | 0.263034 | + | 0.324820i | ||||
\(874\) | −122.389 | + | 135.926i | −0.00473668 | + | 0.00526062i | ||||
\(875\) | 5878.28 | + | 1249.47i | 0.227111 | + | 0.0482739i | ||||
\(876\) | −5619.32 | − | 35479.0i | −0.216734 | − | 1.36841i | ||||
\(877\) | 15672.3 | − | 19353.7i | 0.603440 | − | 0.745186i | −0.380285 | − | 0.924870i | \(-0.624174\pi\) |
0.983725 | + | 0.179683i | \(0.0575073\pi\) | |||||||
\(878\) | 106.626 | − | 2034.54i | 0.00409845 | − | 0.0782031i | ||||
\(879\) | 26130.3 | − | 26130.3i | 1.00268 | − | 1.00268i | ||||
\(880\) | 4337.19 | + | 21254.8i | 0.166144 | + | 0.814205i | ||||
\(881\) | −4227.43 | + | 2440.71i | −0.161664 | + | 0.0933367i | −0.578649 | − | 0.815577i | \(-0.696420\pi\) |
0.416985 | + | 0.908913i | \(0.363087\pi\) | |||||||
\(882\) | −334.258 | + | 514.712i | −0.0127608 | + | 0.0196500i | ||||
\(883\) | −9370.12 | − | 12896.9i | −0.357112 | − | 0.491522i | 0.592230 | − | 0.805769i | \(-0.298248\pi\) |
−0.949341 | + | 0.314247i | \(0.898248\pi\) | |||||||
\(884\) | −33742.5 | − | 14938.2i | −1.28380 | − | 0.568357i | ||||
\(885\) | −8443.18 | − | 25985.4i | −0.320694 | − | 0.986996i | ||||
\(886\) | 1887.55 | − | 98.9221i | 0.0715726 | − | 0.00375096i | ||||
\(887\) | −24840.5 | − | 2610.84i | −0.940317 | − | 0.0988313i | −0.378048 | − | 0.925786i | \(-0.623405\pi\) |
−0.562269 | + | 0.826955i | \(0.690071\pi\) | |||||||
\(888\) | 920.441 | + | 8757.41i | 0.0347838 | + | 0.330945i | ||||
\(889\) | 4469.80 | + | 8772.47i | 0.168630 | + | 0.330955i | ||||
\(890\) | −2534.49 | + | 679.115i | −0.0954565 | + | 0.0255775i | ||||
\(891\) | 18520.6 | + | 5124.65i | 0.696368 | + | 0.192685i | ||||
\(892\) | −4128.92 | − | 4128.92i | −0.154985 | − | 0.154985i | ||||
\(893\) | −29692.9 | + | 26735.6i | −1.11269 | + | 1.00187i | ||||
\(894\) | 864.832 | − | 1942.45i | 0.0323538 | − | 0.0726679i | ||||
\(895\) | −33891.8 | + | 27445.0i | −1.26579 | + | 1.02501i | ||||
\(896\) | −2303.24 | + | 748.367i | −0.0858769 | + | 0.0279031i | ||||
\(897\) | 501.268 | − | 872.449i | 0.0186587 | − | 0.0324752i | ||||
\(898\) | −2212.07 | + | 3044.65i | −0.0822022 | + | 0.113142i | ||||
\(899\) | 641.029 | + | 1669.94i | 0.0237814 | + | 0.0619528i | ||||
\(900\) | 1524.54 | − | 324.052i | 0.0564646 | − | 0.0120019i | ||||
\(901\) | −15332.7 | + | 26557.0i | −0.566932 | + | 0.981955i | ||||
\(902\) | −3014.57 | − | 1185.45i | −0.111279 | − | 0.0437596i | ||||
\(903\) | 985.427 | + | 3677.66i | 0.0363156 | + | 0.135532i | ||||
\(904\) | 7624.54 | + | 399.585i | 0.280518 | + | 0.0147013i | ||||
\(905\) | 17012.2 | + | 2694.47i | 0.624868 | + | 0.0989694i | ||||
\(906\) | 636.340 | − | 283.317i | 0.0233344 | − | 0.0103892i | ||||
\(907\) | −16956.7 | − | 15267.9i | −0.620769 | − | 0.558943i | 0.297589 | − | 0.954694i | \(-0.403818\pi\) |
−0.918358 | + | 0.395751i | \(0.870484\pi\) | |||||||
\(908\) | −1600.99 | − | 30548.7i | −0.0585141 | − | 1.11652i | ||||
\(909\) | −3219.89 | − | 2339.39i | −0.117488 | − | 0.0853604i | ||||
\(910\) | 248.580 | − | 490.410i | 0.00905532 | − | 0.0178648i | ||||
\(911\) | 13253.1 | − | 40789.0i | 0.481994 | − | 1.48342i | −0.354294 | − | 0.935134i | \(-0.615279\pi\) |
0.836288 | − | 0.548290i | \(-0.184721\pi\) | |||||||
\(912\) | −9266.78 | + | 34584.1i | −0.336463 | + | 1.25570i | ||||
\(913\) | −2279.28 | − | 1684.53i | −0.0826212 | − | 0.0610623i | ||||
\(914\) | −810.739 | − | 468.080i | −0.0293401 | − | 0.0169395i | ||||
\(915\) | 7366.97 | − | 3753.66i | 0.266169 | − | 0.135620i | ||||
\(916\) | 17441.6 | + | 14123.9i | 0.629133 | + | 0.509462i | ||||
\(917\) | 6177.39 | + | 2371.28i | 0.222459 | + | 0.0853942i | ||||
\(918\) | 2100.18 | − | 4121.84i | 0.0755079 | − | 0.148193i | ||||
\(919\) | −2811.69 | + | 13228.0i | −0.100924 | + | 0.474810i | 0.898438 | + | 0.439100i | \(0.144703\pi\) |
−0.999362 | + | 0.0357098i | \(0.988631\pi\) | |||||||
\(920\) | −23.0829 | + | 219.620i | −0.000827198 | + | 0.00787026i | ||||
\(921\) | 16448.0 | − | 6313.80i | 0.588470 | − | 0.225892i | ||||
\(922\) | 3443.70 | + | 1118.92i | 0.123007 | + | 0.0399673i | ||||
\(923\) | −192.791 | + | 3832.74i | −0.00687517 | + | 0.136681i | ||||
\(924\) | −2652.41 | + | 4508.88i | −0.0944349 | + | 0.160532i | ||||
\(925\) | 12299.2 | + | 3295.56i | 0.437184 | + | 0.117143i | ||||
\(926\) | −197.237 | − | 927.928i | −0.00699959 | − | 0.0329305i | ||||
\(927\) | 6753.20 | − | 709.790i | 0.239271 | − | 0.0251484i | ||||
\(928\) | −1971.68 | + | 312.283i | −0.0697451 | + | 0.0110465i | ||||
\(929\) | 30714.3 | − | 19946.1i | 1.08472 | − | 0.704424i | 0.126934 | − | 0.991911i | \(-0.459486\pi\) |
0.957785 | + | 0.287487i | \(0.0928198\pi\) | |||||||
\(930\) | −589.059 | + | 382.539i | −0.0207699 | + | 0.0134881i | ||||
\(931\) | −41005.5 | + | 6494.63i | −1.44350 | + | 0.228628i | ||||
\(932\) | 618.206 | − | 64.9761i | 0.0217275 | − | 0.00228365i | ||||
\(933\) | 3611.48 | + | 16990.7i | 0.126725 | + | 0.596194i | ||||
\(934\) | −450.426 | − | 120.691i | −0.0157799 | − | 0.00422820i | ||||
\(935\) | 26188.7 | − | 23196.9i | 0.916002 | − | 0.811358i | ||||
\(936\) | 70.2403 | − | 1396.40i | 0.00245286 | − | 0.0487636i | ||||
\(937\) | 32962.6 | + | 10710.2i | 1.14924 | + | 0.373412i | 0.820858 | − | 0.571132i | \(-0.193496\pi\) |
0.328385 | + | 0.944544i | \(0.393496\pi\) | |||||||
\(938\) | 251.849 | − | 96.6759i | 0.00876671 | − | 0.00336522i | ||||
\(939\) | 181.957 | − | 1731.20i | 0.00632369 | − | 0.0601658i | ||||
\(940\) | −4985.10 | + | 23453.1i | −0.172975 | + | 0.813781i | ||||
\(941\) | −19349.1 | + | 37974.8i | −0.670311 | + | 1.31556i | 0.265859 | + | 0.964012i | \(0.414345\pi\) |
−0.936170 | + | 0.351548i | \(0.885655\pi\) | |||||||
\(942\) | 1694.22 | + | 650.350i | 0.0585994 | + | 0.0224942i | ||||
\(943\) | 1055.73 | + | 854.912i | 0.0364573 | + | 0.0295226i | ||||
\(944\) | 34153.6 | − | 17402.1i | 1.17755 | − | 0.599990i | ||||
\(945\) | −5007.90 | − | 2891.31i | −0.172388 | − | 0.0995285i | ||||
\(946\) | −708.259 | − | 2241.77i | −0.0243419 | − | 0.0770468i | ||||
\(947\) | −8669.26 | + | 32354.1i | −0.297480 | + | 1.11021i | 0.641749 | + | 0.766915i | \(0.278209\pi\) |
−0.939228 | + | 0.343294i | \(0.888457\pi\) | |||||||
\(948\) | −1183.31 | + | 3641.85i | −0.0405401 | + | 0.124770i | ||||
\(949\) | −21066.7 | + | 41561.4i | −0.720605 | + | 1.42164i | ||||
\(950\) | −1016.72 | − | 738.689i | −0.0347228 | − | 0.0252276i | ||||
\(951\) | −1733.09 | − | 33069.3i | −0.0590948 | − | 1.12760i | ||||
\(952\) | 1433.84 | + | 1291.04i | 0.0488141 | + | 0.0439524i | ||||
\(953\) | 48786.0 | − | 21720.9i | 1.65827 | − | 0.738311i | 0.658376 | − | 0.752689i | \(-0.271244\pi\) |
0.999897 | + | 0.0143781i | \(0.00457683\pi\) | |||||||
\(954\) | −570.392 | − | 90.3413i | −0.0193576 | − | 0.00306594i | ||||
\(955\) | −30803.7 | − | 1614.35i | −1.04375 | − | 0.0547007i | ||||
\(956\) | −9306.53 | − | 34732.4i | −0.314848 | − | 1.17503i | ||||
\(957\) | −3647.03 | + | 4429.43i | −0.123189 | + | 0.149617i | ||||
\(958\) | −1071.86 | + | 1856.52i | −0.0361486 | + | 0.0626113i | ||||
\(959\) | −2312.68 | + | 491.575i | −0.0778730 | + | 0.0165524i | ||||
\(960\) | 7510.63 | + | 19565.9i | 0.252505 | + | 0.657798i | ||||
\(961\) | 15922.2 | − | 21915.1i | 0.534465 | − | 0.735628i | ||||
\(962\) | 2828.33 | − | 4922.67i | 0.0947911 | − | 0.164983i | ||||
\(963\) | 6731.82 | − | 2187.30i | 0.225265 | − | 0.0731929i | ||||
\(964\) | −203.726 | + | 164.974i | −0.00680660 | + | 0.00551188i | ||||
\(965\) | −13469.0 | + | 30251.8i | −0.449308 | + | 1.00916i | ||||
\(966\) | −19.4327 | + | 17.4973i | −0.000647243 | + | 0.000582780i | ||||
\(967\) | −16285.7 | − | 16285.7i | −0.541584 | − | 0.541584i | 0.382409 | − | 0.923993i | \(-0.375095\pi\) |
−0.923993 | + | 0.382409i | \(0.875095\pi\) | |||||||
\(968\) | 3044.34 | − | 5741.64i | 0.101084 | − | 0.190644i | ||||
\(969\) | 55775.2 | − | 14944.9i | 1.84908 | − | 0.495459i | ||||
\(970\) | −2368.27 | − | 4647.99i | −0.0783924 | − | 0.153854i | ||||
\(971\) | −5753.81 | − | 54743.9i | −0.190163 | − | 1.80928i | −0.508237 | − | 0.861217i | \(-0.669702\pi\) |
0.318073 | − | 0.948066i | \(-0.396964\pi\) | |||||||
\(972\) | −13196.7 | − | 1387.03i | −0.435477 | − | 0.0457704i | ||||
\(973\) | 11419.8 | − | 598.488i | 0.376262 | − | 0.0197191i | ||||
\(974\) | −149.784 | − | 460.988i | −0.00492751 | − | 0.0151653i | ||||
\(975\) | 6321.67 | + | 2798.69i | 0.207647 | + | 0.0919279i | ||||
\(976\) | 6818.02 | + | 9384.20i | 0.223606 | + | 0.307767i | ||||
\(977\) | 901.376 | − | 1388.00i | 0.0295164 | − | 0.0454513i | −0.823604 | − | 0.567165i | \(-0.808040\pi\) |
0.853121 | + | 0.521713i | \(0.174707\pi\) | |||||||
\(978\) | −1291.91 | + | 745.883i | −0.0422399 | + | 0.0243872i | ||||
\(979\) | −29475.7 | − | 13412.2i | −0.962253 | − | 0.437850i | ||||
\(980\) | −17616.6 | + | 17616.6i | −0.574227 | + | 0.574227i | ||||
\(981\) | 439.561 | − | 8387.32i | 0.0143059 | − | 0.272973i | ||||
\(982\) | 1429.37 | − | 1765.12i | 0.0464491 | − | 0.0573599i | ||||
\(983\) | 1212.90 | + | 7657.97i | 0.0393546 | + | 0.248475i | 0.999521 | − | 0.0309543i | \(-0.00985463\pi\) |
−0.960166 | + | 0.279430i | \(0.909855\pi\) | |||||||
\(984\) | −6313.86 | − | 1342.05i | −0.204551 | − | 0.0434787i | ||||
\(985\) | 6921.18 | − | 7686.75i | 0.223885 | − | 0.248650i | ||||
\(986\) | 661.948 | + | 817.437i | 0.0213800 | + | 0.0264021i | ||||
\(987\) | −4621.32 | + | 3357.59i | −0.149036 | + | 0.108281i | ||||
\(988\) | 36471.9 | − | 29661.5i | 1.17442 | − | 0.955119i | ||||
\(989\) | 985.947i | 0.0317000i | ||||||||
\(990\) | 584.584 | + | 303.884i | 0.0187670 | + | 0.00975562i | ||||
\(991\) | 7682.81 | + | 13307.0i | 0.246269 | + | 0.426550i | 0.962488 | − | 0.271326i | \(-0.0874621\pi\) |
−0.716219 | + | 0.697876i | \(0.754129\pi\) | |||||||
\(992\) | −2018.08 | − | 2241.31i | −0.0645908 | − | 0.0717354i | ||||
\(993\) | 3780.89 | − | 23871.6i | 0.120829 | − | 0.762882i | ||||
\(994\) | 35.7407 | − | 93.1076i | 0.00114047 | − | 0.00297102i | ||||
\(995\) | 23025.4 | + | 35456.0i | 0.733622 | + | 1.12968i | ||||
\(996\) | −2501.18 | − | 1274.42i | −0.0795713 | − | 0.0405436i | ||||
\(997\) | 7887.49 | + | 17715.6i | 0.250551 | + | 0.562747i | 0.994410 | − | 0.105590i | \(-0.0336732\pi\) |
−0.743859 | + | 0.668337i | \(0.767006\pi\) | |||||||
\(998\) | 610.533 | + | 271.827i | 0.0193648 | + | 0.00862177i | ||||
\(999\) | −50078.0 | − | 32521.0i | −1.58598 | − | 1.02995i |
(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 | 143.4.w.a.2.20 | ✓ | 640 | |
11.6 | odd | 10 | inner | 143.4.w.a.28.20 | yes | 640 | |
13.7 | odd | 12 | inner | 143.4.w.a.46.20 | yes | 640 | |
143.72 | even | 60 | inner | 143.4.w.a.72.20 | yes | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
143.4.w.a.2.20 | ✓ | 640 | 1.1 | even | 1 | trivial | |
143.4.w.a.28.20 | yes | 640 | 11.6 | odd | 10 | inner | |
143.4.w.a.46.20 | yes | 640 | 13.7 | odd | 12 | inner | |
143.4.w.a.72.20 | yes | 640 | 143.72 | even | 60 | inner |