Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [978,2,Mod(25,978)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(978, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("978.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 978 = 2 \cdot 3 \cdot 163 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 978.m (of order \(27\), degree \(18\), 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: | \(7.80936931768\) |
Analytic rank: | \(0\) |
Dimension: | \(126\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{27})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 403.7 | ||
Character | \(\chi\) | \(=\) | 978.403 |
Dual form | 978.2.m.d.199.7 |
$q$-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 \(\left(\mathbb{Z}/978\mathbb{Z}\right)^\times\).
\(n\) | \(653\) | \(817\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{20}{27}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.686242 | − | 0.727374i | 0.485246 | − | 0.514331i | ||||
\(3\) | 0.835488 | − | 0.549509i | 0.482369 | − | 0.317259i | ||||
\(4\) | −0.0581448 | − | 0.998308i | −0.0290724 | − | 0.499154i | ||||
\(5\) | 3.07097 | + | 1.11774i | 1.37338 | + | 0.499869i | 0.920164 | − | 0.391533i | \(-0.128055\pi\) |
0.453214 | + | 0.891402i | \(0.350277\pi\) | |||||||
\(6\) | 0.173648 | − | 0.984808i | 0.0708916 | − | 0.402046i | ||||
\(7\) | 0.710793 | + | 0.168461i | 0.268655 | + | 0.0636723i | 0.362735 | − | 0.931892i | \(-0.381843\pi\) |
−0.0940805 | + | 0.995565i | \(0.529991\pi\) | |||||||
\(8\) | −0.766044 | − | 0.642788i | −0.270838 | − | 0.227260i | ||||
\(9\) | 0.396080 | − | 0.918216i | 0.132027 | − | 0.306072i | ||||
\(10\) | 2.92044 | − | 1.46670i | 0.923525 | − | 0.463811i | ||||
\(11\) | 1.45288 | − | 0.955577i | 0.438061 | − | 0.288117i | −0.311259 | − | 0.950325i | \(-0.600751\pi\) |
0.749320 | + | 0.662208i | \(0.230380\pi\) | |||||||
\(12\) | −0.597159 | − | 0.802123i | −0.172385 | − | 0.231553i | ||||
\(13\) | −1.35302 | + | 1.13532i | −0.375261 | + | 0.314882i | −0.810839 | − | 0.585270i | \(-0.800989\pi\) |
0.435578 | + | 0.900151i | \(0.356544\pi\) | |||||||
\(14\) | 0.610310 | − | 0.401407i | 0.163112 | − | 0.107281i | ||||
\(15\) | 3.17996 | − | 0.753665i | 0.821063 | − | 0.194596i | ||||
\(16\) | −0.993238 | + | 0.116093i | −0.248310 | + | 0.0290232i | ||||
\(17\) | −2.07464 | − | 1.74083i | −0.503174 | − | 0.422213i | 0.355546 | − | 0.934659i | \(-0.384295\pi\) |
−0.858719 | + | 0.512446i | \(0.828739\pi\) | |||||||
\(18\) | −0.396080 | − | 0.918216i | −0.0933569 | − | 0.216426i | ||||
\(19\) | 1.01635 | − | 3.39484i | 0.233166 | − | 0.778830i | −0.758688 | − | 0.651454i | \(-0.774159\pi\) |
0.991855 | − | 0.127376i | \(-0.0406554\pi\) | |||||||
\(20\) | 0.937289 | − | 3.13076i | 0.209584 | − | 0.700060i | ||||
\(21\) | 0.686430 | − | 0.249840i | 0.149791 | − | 0.0545196i | ||||
\(22\) | 0.301968 | − | 1.71255i | 0.0643798 | − | 0.365116i | ||||
\(23\) | −1.16198 | + | 2.01261i | −0.242290 | + | 0.419659i | −0.961366 | − | 0.275272i | \(-0.911232\pi\) |
0.719076 | + | 0.694931i | \(0.244565\pi\) | |||||||
\(24\) | −0.993238 | − | 0.116093i | −0.202744 | − | 0.0236974i | ||||
\(25\) | 4.35128 | + | 3.65115i | 0.870255 | + | 0.730231i | ||||
\(26\) | −0.102698 | + | 1.76326i | −0.0201408 | + | 0.345803i | ||||
\(27\) | −0.173648 | − | 0.984808i | −0.0334186 | − | 0.189526i | ||||
\(28\) | 0.126847 | − | 0.719386i | 0.0239719 | − | 0.135951i | ||||
\(29\) | 4.97306 | + | 5.27114i | 0.923474 | + | 0.978826i | 0.999833 | − | 0.0182548i | \(-0.00581100\pi\) |
−0.0763591 | + | 0.997080i | \(0.524330\pi\) | |||||||
\(30\) | 1.63403 | − | 2.83022i | 0.298331 | − | 0.516725i | ||||
\(31\) | 2.19776 | + | 0.799920i | 0.394730 | + | 0.143670i | 0.531756 | − | 0.846898i | \(-0.321532\pi\) |
−0.137026 | + | 0.990567i | \(0.543755\pi\) | |||||||
\(32\) | −0.597159 | + | 0.802123i | −0.105564 | + | 0.141797i | ||||
\(33\) | 0.688769 | − | 1.59675i | 0.119899 | − | 0.277958i | ||||
\(34\) | −2.68994 | + | 0.314408i | −0.461320 | + | 0.0539206i | ||||
\(35\) | 1.99453 | + | 1.31182i | 0.337137 | + | 0.221738i | ||||
\(36\) | −0.939693 | − | 0.342020i | −0.156615 | − | 0.0570034i | ||||
\(37\) | −0.0843377 | − | 0.478303i | −0.0138650 | − | 0.0786325i | 0.977090 | − | 0.212826i | \(-0.0682667\pi\) |
−0.990955 | + | 0.134193i | \(0.957156\pi\) | |||||||
\(38\) | −1.77186 | − | 3.06894i | −0.287433 | − | 0.497849i | ||||
\(39\) | −0.506565 | + | 1.69205i | −0.0811154 | + | 0.270944i | ||||
\(40\) | −1.63403 | − | 2.83022i | −0.258362 | − | 0.447497i | ||||
\(41\) | −0.367483 | + | 6.30944i | −0.0573912 | + | 0.985369i | 0.839568 | + | 0.543255i | \(0.182808\pi\) |
−0.896959 | + | 0.442114i | \(0.854229\pi\) | |||||||
\(42\) | 0.289330 | − | 0.670742i | 0.0446446 | − | 0.103498i | ||||
\(43\) | −3.74351 | − | 1.88006i | −0.570880 | − | 0.286707i | 0.139849 | − | 0.990173i | \(-0.455338\pi\) |
−0.710729 | + | 0.703466i | \(0.751635\pi\) | |||||||
\(44\) | −1.03844 | − | 1.39486i | −0.156550 | − | 0.210284i | ||||
\(45\) | 2.24268 | − | 2.37710i | 0.334318 | − | 0.354357i | ||||
\(46\) | 0.666521 | + | 2.22634i | 0.0982732 | + | 0.328255i | ||||
\(47\) | 1.82559 | − | 1.93501i | 0.266290 | − | 0.282250i | −0.580407 | − | 0.814327i | \(-0.697107\pi\) |
0.846697 | + | 0.532076i | \(0.178588\pi\) | |||||||
\(48\) | −0.766044 | + | 0.642788i | −0.110569 | + | 0.0927784i | ||||
\(49\) | −5.77858 | − | 2.90211i | −0.825511 | − | 0.414587i | ||||
\(50\) | 5.64178 | − | 0.659429i | 0.797868 | − | 0.0932574i | ||||
\(51\) | −2.68994 | − | 0.314408i | −0.376666 | − | 0.0440260i | ||||
\(52\) | 1.21207 | + | 1.28472i | 0.168084 | + | 0.178159i | ||||
\(53\) | 4.89746 | − | 8.48265i | 0.672718 | − | 1.16518i | −0.304412 | − | 0.952540i | \(-0.598460\pi\) |
0.977130 | − | 0.212642i | \(-0.0682067\pi\) | |||||||
\(54\) | −0.835488 | − | 0.549509i | −0.113695 | − | 0.0747787i | ||||
\(55\) | 5.52985 | − | 1.31060i | 0.745644 | − | 0.176721i | ||||
\(56\) | −0.436215 | − | 0.585938i | −0.0582916 | − | 0.0782992i | ||||
\(57\) | −1.01635 | − | 3.39484i | −0.134619 | − | 0.449657i | ||||
\(58\) | 7.24681 | 0.951553 | ||||||||
\(59\) | −5.15788 | −0.671499 | −0.335750 | − | 0.941951i | \(-0.608990\pi\) | ||||
−0.335750 | + | 0.941951i | \(0.608990\pi\) | |||||||
\(60\) | −0.937289 | − | 3.13076i | −0.121003 | − | 0.404180i | ||||
\(61\) | −6.27339 | + | 5.26400i | −0.803225 | + | 0.673986i | −0.948981 | − | 0.315334i | \(-0.897883\pi\) |
0.145755 | + | 0.989321i | \(0.453439\pi\) | |||||||
\(62\) | 2.09004 | − | 1.04966i | 0.265435 | − | 0.133306i | ||||
\(63\) | 0.436215 | − | 0.585938i | 0.0549579 | − | 0.0738212i | ||||
\(64\) | 0.173648 | + | 0.984808i | 0.0217060 | + | 0.123101i | ||||
\(65\) | −5.42409 | + | 1.97421i | −0.672775 | + | 0.244870i | ||||
\(66\) | −0.688769 | − | 1.59675i | −0.0847816 | − | 0.196546i | ||||
\(67\) | −0.137418 | + | 2.35937i | −0.0167883 | + | 0.288243i | 0.979456 | + | 0.201657i | \(0.0646328\pi\) |
−0.996244 | + | 0.0865860i | \(0.972404\pi\) | |||||||
\(68\) | −1.61725 | + | 2.17235i | −0.196121 | + | 0.263436i | ||||
\(69\) | 0.135127 | + | 2.32004i | 0.0162673 | + | 0.279299i | ||||
\(70\) | 2.32291 | − | 0.550540i | 0.277641 | − | 0.0658022i | ||||
\(71\) | −5.44113 | − | 2.73264i | −0.645743 | − | 0.324305i | 0.0956104 | − | 0.995419i | \(-0.469520\pi\) |
−0.741354 | + | 0.671114i | \(0.765816\pi\) | |||||||
\(72\) | −0.893633 | + | 0.448799i | −0.105316 | + | 0.0528915i | ||||
\(73\) | 0.300099 | + | 5.15250i | 0.0351239 | + | 0.603055i | 0.969245 | + | 0.246098i | \(0.0791485\pi\) |
−0.934121 | + | 0.356957i | \(0.883814\pi\) | |||||||
\(74\) | −0.405781 | − | 0.266886i | −0.0471711 | − | 0.0310249i | ||||
\(75\) | 5.64178 | + | 0.659429i | 0.651457 | + | 0.0761443i | ||||
\(76\) | −3.44819 | − | 0.817236i | −0.395535 | − | 0.0937434i | ||||
\(77\) | 1.19368 | − | 0.434463i | 0.136032 | − | 0.0495117i | ||||
\(78\) | 0.883123 | + | 1.52961i | 0.0999940 | + | 0.173195i | ||||
\(79\) | 1.51947 | + | 3.52252i | 0.170953 | + | 0.396315i | 0.982056 | − | 0.188589i | \(-0.0603915\pi\) |
−0.811103 | + | 0.584904i | \(0.801132\pi\) | |||||||
\(80\) | −3.17996 | − | 0.753665i | −0.355531 | − | 0.0842624i | ||||
\(81\) | −0.686242 | − | 0.727374i | −0.0762491 | − | 0.0808193i | ||||
\(82\) | 4.33714 | + | 4.59710i | 0.478957 | + | 0.507664i | ||||
\(83\) | 4.23999 | + | 1.00490i | 0.465399 | + | 0.110302i | 0.456624 | − | 0.889660i | \(-0.349059\pi\) |
0.00877520 | + | 0.999961i | \(0.497207\pi\) | |||||||
\(84\) | −0.289330 | − | 0.670742i | −0.0315685 | − | 0.0731839i | ||||
\(85\) | −4.42535 | − | 7.66494i | −0.479997 | − | 0.831379i | ||||
\(86\) | −3.93646 | + | 1.43275i | −0.424479 | + | 0.154498i | ||||
\(87\) | 7.05147 | + | 1.67123i | 0.755997 | + | 0.179175i | ||||
\(88\) | −1.72721 | − | 0.201881i | −0.184121 | − | 0.0215206i | ||||
\(89\) | −9.98437 | − | 6.56683i | −1.05834 | − | 0.696082i | −0.103932 | − | 0.994584i | \(-0.533143\pi\) |
−0.954409 | + | 0.298502i | \(0.903513\pi\) | |||||||
\(90\) | −0.190021 | − | 3.26253i | −0.0200299 | − | 0.343900i | ||||
\(91\) | −1.15298 | + | 0.579047i | −0.120865 | + | 0.0607006i | ||||
\(92\) | 2.07677 | + | 1.04299i | 0.216519 | + | 0.108740i | ||||
\(93\) | 2.27577 | − | 0.539367i | 0.235986 | − | 0.0559297i | ||||
\(94\) | −0.154681 | − | 2.65577i | −0.0159541 | − | 0.273922i | ||||
\(95\) | 6.91572 | − | 9.28943i | 0.709538 | − | 0.953075i | ||||
\(96\) | −0.0581448 | + | 0.998308i | −0.00593438 | + | 0.101889i | ||||
\(97\) | 4.33024 | + | 10.0386i | 0.439669 | + | 1.01927i | 0.983637 | + | 0.180162i | \(0.0576622\pi\) |
−0.543968 | + | 0.839106i | \(0.683079\pi\) | |||||||
\(98\) | −6.07642 | + | 2.21164i | −0.613811 | + | 0.223409i | ||||
\(99\) | −0.301968 | − | 1.71255i | −0.0303489 | − | 0.172117i | ||||
\(100\) | 3.39197 | − | 4.55621i | 0.339197 | − | 0.455621i | ||||
\(101\) | −9.52108 | + | 4.78166i | −0.947382 | + | 0.475793i | −0.854251 | − | 0.519861i | \(-0.825984\pi\) |
−0.0931312 | + | 0.995654i | \(0.529688\pi\) | |||||||
\(102\) | −2.07464 | + | 1.74083i | −0.205420 | + | 0.172368i | ||||
\(103\) | −1.60940 | − | 5.37576i | −0.158579 | − | 0.529690i | 0.841363 | − | 0.540470i | \(-0.181754\pi\) |
−0.999942 | + | 0.0107804i | \(0.996568\pi\) | |||||||
\(104\) | 1.76625 | 0.173195 | ||||||||
\(105\) | 2.38726 | 0.232973 | ||||||||
\(106\) | −2.80922 | − | 9.38344i | −0.272855 | − | 0.911400i | ||||
\(107\) | −6.53009 | − | 8.77144i | −0.631288 | − | 0.847967i | 0.365267 | − | 0.930903i | \(-0.380978\pi\) |
−0.996555 | + | 0.0829359i | \(0.973570\pi\) | |||||||
\(108\) | −0.973045 | + | 0.230616i | −0.0936313 | + | 0.0221910i | ||||
\(109\) | −1.28343 | − | 0.844126i | −0.122930 | − | 0.0808526i | 0.486555 | − | 0.873650i | \(-0.338253\pi\) |
−0.609485 | + | 0.792798i | \(0.708624\pi\) | |||||||
\(110\) | 2.84152 | − | 4.92165i | 0.270928 | − | 0.469261i | ||||
\(111\) | −0.333295 | − | 0.353272i | −0.0316349 | − | 0.0335311i | ||||
\(112\) | −0.725544 | − | 0.0848040i | −0.0685575 | − | 0.00801322i | ||||
\(113\) | −14.9782 | + | 1.75070i | −1.40903 | + | 0.164692i | −0.786348 | − | 0.617784i | \(-0.788031\pi\) |
−0.622681 | + | 0.782476i | \(0.713957\pi\) | |||||||
\(114\) | −3.16678 | − | 1.59042i | −0.296596 | − | 0.148956i | ||||
\(115\) | −5.81800 | + | 4.88188i | −0.542531 | + | 0.455237i | ||||
\(116\) | 4.97306 | − | 5.27114i | 0.461737 | − | 0.489413i | ||||
\(117\) | 0.506565 | + | 1.69205i | 0.0468320 | + | 0.156430i | ||||
\(118\) | −3.53956 | + | 3.75171i | −0.325842 | + | 0.345373i | ||||
\(119\) | −1.18138 | − | 1.58687i | −0.108297 | − | 0.145468i | ||||
\(120\) | −2.92044 | − | 1.46670i | −0.266599 | − | 0.133891i | ||||
\(121\) | −3.15913 | + | 7.32369i | −0.287194 | + | 0.665790i | ||||
\(122\) | −0.476167 | + | 8.17548i | −0.0431102 | + | 0.740173i | ||||
\(123\) | 3.16007 | + | 5.47339i | 0.284933 | + | 0.493519i | ||||
\(124\) | 0.670778 | − | 2.24056i | 0.0602377 | − | 0.201208i | ||||
\(125\) | 1.11144 | + | 1.92508i | 0.0994105 | + | 0.172184i | ||||
\(126\) | −0.126847 | − | 0.719386i | −0.0113004 | − | 0.0640880i | ||||
\(127\) | 16.7401 | + | 6.09290i | 1.48545 | + | 0.540658i | 0.952246 | − | 0.305332i | \(-0.0987674\pi\) |
0.533199 | + | 0.845990i | \(0.320990\pi\) | |||||||
\(128\) | 0.835488 | + | 0.549509i | 0.0738474 | + | 0.0485702i | ||||
\(129\) | −4.16077 | + | 0.486324i | −0.366335 | + | 0.0428184i | ||||
\(130\) | −2.28625 | + | 5.30012i | −0.200517 | + | 0.464851i | ||||
\(131\) | 8.03979 | − | 10.7993i | 0.702439 | − | 0.943540i | −0.297498 | − | 0.954722i | \(-0.596152\pi\) |
0.999937 | + | 0.0111826i | \(0.00355961\pi\) | |||||||
\(132\) | −1.63409 | − | 0.594761i | −0.142229 | − | 0.0517673i | ||||
\(133\) | 1.29431 | − | 2.24181i | 0.112231 | − | 0.194390i | ||||
\(134\) | 1.62184 | + | 1.71905i | 0.140106 | + | 0.148504i | ||||
\(135\) | 0.567492 | − | 3.21841i | 0.0488419 | − | 0.276996i | ||||
\(136\) | 0.470282 | + | 2.66710i | 0.0403264 | + | 0.228702i | ||||
\(137\) | 0.794141 | − | 13.6349i | 0.0678481 | − | 1.16491i | −0.776858 | − | 0.629676i | \(-0.783188\pi\) |
0.844706 | − | 0.535231i | \(-0.179775\pi\) | |||||||
\(138\) | 1.78026 | + | 1.49382i | 0.151546 | + | 0.127162i | ||||
\(139\) | 6.28384 | + | 0.734476i | 0.532988 | + | 0.0622974i | 0.378330 | − | 0.925671i | \(-0.376498\pi\) |
0.154658 | + | 0.987968i | \(0.450572\pi\) | |||||||
\(140\) | 1.19363 | − | 2.06743i | 0.100880 | − | 0.174730i | ||||
\(141\) | 0.461951 | − | 2.61986i | 0.0389033 | − | 0.220632i | ||||
\(142\) | −5.72158 | + | 2.08248i | −0.480144 | + | 0.174758i | ||||
\(143\) | −0.880899 | + | 2.94241i | −0.0736645 | + | 0.246056i | ||||
\(144\) | −0.286803 | + | 0.957990i | −0.0239003 | + | 0.0798325i | ||||
\(145\) | 9.38035 | + | 21.7461i | 0.778995 | + | 1.80591i | ||||
\(146\) | 3.95373 | + | 3.31758i | 0.327213 | + | 0.274565i | ||||
\(147\) | −6.42267 | + | 0.750702i | −0.529733 | + | 0.0619169i | ||||
\(148\) | −0.472590 | + | 0.112006i | −0.0388467 | + | 0.00920683i | ||||
\(149\) | −8.59933 | + | 5.65587i | −0.704485 | + | 0.463347i | −0.850527 | − | 0.525931i | \(-0.823717\pi\) |
0.146042 | + | 0.989278i | \(0.453346\pi\) | |||||||
\(150\) | 4.35128 | − | 3.65115i | 0.355280 | − | 0.298115i | ||||
\(151\) | 4.43639 | + | 5.95910i | 0.361028 | + | 0.484945i | 0.945111 | − | 0.326749i | \(-0.105953\pi\) |
−0.584083 | + | 0.811694i | \(0.698546\pi\) | |||||||
\(152\) | −2.96073 | + | 1.94730i | −0.240147 | + | 0.157947i | ||||
\(153\) | −2.42018 | + | 1.21546i | −0.195660 | + | 0.0982641i | ||||
\(154\) | 0.503134 | − | 1.16640i | 0.0405437 | − | 0.0939909i | ||||
\(155\) | 5.85515 | + | 4.91306i | 0.470297 | + | 0.394626i | ||||
\(156\) | 1.71864 | + | 0.407324i | 0.137601 | + | 0.0326121i | ||||
\(157\) | −2.45596 | + | 13.9285i | −0.196007 | + | 1.11161i | 0.714970 | + | 0.699155i | \(0.246440\pi\) |
−0.910977 | + | 0.412457i | \(0.864671\pi\) | |||||||
\(158\) | 3.60491 | + | 1.31208i | 0.286791 | + | 0.104384i | ||||
\(159\) | −0.569524 | − | 9.77835i | −0.0451662 | − | 0.775474i | ||||
\(160\) | −2.73042 | + | 1.79583i | −0.215859 | + | 0.141972i | ||||
\(161\) | −1.16498 | + | 1.23480i | −0.0918131 | + | 0.0973162i | ||||
\(162\) | −1.00000 | −0.0785674 | ||||||||
\(163\) | 8.53250 | + | 9.49718i | 0.668317 | + | 0.743877i | ||||
\(164\) | 6.32013 | 0.493519 | ||||||||
\(165\) | 3.89993 | − | 4.13369i | 0.303609 | − | 0.321807i | ||||
\(166\) | 3.64059 | − | 2.39445i | 0.282565 | − | 0.185846i | ||||
\(167\) | −0.103196 | − | 1.77180i | −0.00798551 | − | 0.137106i | −0.999944 | − | 0.0105454i | \(-0.996643\pi\) |
0.991959 | − | 0.126561i | \(-0.0403938\pi\) | |||||||
\(168\) | −0.686430 | − | 0.249840i | −0.0529592 | − | 0.0192756i | ||||
\(169\) | −1.71571 | + | 9.73027i | −0.131978 | + | 0.748482i | ||||
\(170\) | −8.61213 | − | 2.04111i | −0.660520 | − | 0.156546i | ||||
\(171\) | −2.71464 | − | 2.27785i | −0.207594 | − | 0.174192i | ||||
\(172\) | −1.65922 | + | 3.84649i | −0.126514 | + | 0.293292i | ||||
\(173\) | 0.308372 | − | 0.154870i | 0.0234451 | − | 0.0117746i | −0.437038 | − | 0.899443i | \(-0.643972\pi\) |
0.460483 | + | 0.887668i | \(0.347676\pi\) | |||||||
\(174\) | 6.05462 | − | 3.98219i | 0.459000 | − | 0.301889i | ||||
\(175\) | 2.47778 | + | 3.32824i | 0.187303 | + | 0.251591i | ||||
\(176\) | −1.33212 | + | 1.11778i | −0.100413 | + | 0.0842562i | ||||
\(177\) | −4.30935 | + | 2.83430i | −0.323911 | + | 0.213039i | ||||
\(178\) | −11.6282 | + | 2.75594i | −0.871573 | + | 0.206566i | ||||
\(179\) | −10.5612 | + | 1.23443i | −0.789384 | + | 0.0922657i | −0.501225 | − | 0.865317i | \(-0.667117\pi\) |
−0.288159 | + | 0.957583i | \(0.593043\pi\) | |||||||
\(180\) | −2.50348 | − | 2.10067i | −0.186598 | − | 0.156574i | ||||
\(181\) | −1.51390 | − | 3.50962i | −0.112528 | − | 0.260868i | 0.852641 | − | 0.522497i | \(-0.175000\pi\) |
−0.965168 | + | 0.261629i | \(0.915740\pi\) | |||||||
\(182\) | −0.370038 | + | 1.23601i | −0.0274290 | + | 0.0916193i | ||||
\(183\) | −2.34873 | + | 7.84529i | −0.173623 | + | 0.579941i | ||||
\(184\) | 2.18381 | − | 0.794844i | 0.160993 | − | 0.0585966i | ||||
\(185\) | 0.275620 | − | 1.56312i | 0.0202640 | − | 0.114923i | ||||
\(186\) | 1.16940 | − | 2.02547i | 0.0857449 | − | 0.148515i | ||||
\(187\) | −4.67770 | − | 0.546745i | −0.342068 | − | 0.0399820i | ||||
\(188\) | −2.03789 | − | 1.70999i | −0.148628 | − | 0.124714i | ||||
\(189\) | 0.0424738 | − | 0.729248i | 0.00308952 | − | 0.0530450i | ||||
\(190\) | −2.01103 | − | 11.4051i | −0.145895 | − | 0.827413i | ||||
\(191\) | −0.991590 | + | 5.62359i | −0.0717489 | + | 0.406908i | 0.927688 | + | 0.373356i | \(0.121793\pi\) |
−0.999437 | + | 0.0335521i | \(0.989318\pi\) | |||||||
\(192\) | 0.686242 | + | 0.727374i | 0.0495252 | + | 0.0524937i | ||||
\(193\) | −7.19164 | + | 12.4563i | −0.517666 | + | 0.896623i | 0.482124 | + | 0.876103i | \(0.339866\pi\) |
−0.999789 | + | 0.0205200i | \(0.993468\pi\) | |||||||
\(194\) | 10.2734 | + | 3.73922i | 0.737589 | + | 0.268460i | ||||
\(195\) | −3.44691 | + | 4.63001i | −0.246839 | + | 0.331562i | ||||
\(196\) | −2.56121 | + | 5.93755i | −0.182943 | + | 0.424110i | ||||
\(197\) | 2.94163 | − | 0.343827i | 0.209583 | − | 0.0244967i | −0.0106537 | − | 0.999943i | \(-0.503391\pi\) |
0.220236 | + | 0.975447i | \(0.429317\pi\) | |||||||
\(198\) | −1.45288 | − | 0.955577i | −0.103252 | − | 0.0679099i | ||||
\(199\) | 10.7130 | + | 3.89922i | 0.759426 | + | 0.276409i | 0.692567 | − | 0.721354i | \(-0.256480\pi\) |
0.0668595 | + | 0.997762i | \(0.478702\pi\) | |||||||
\(200\) | −0.986354 | − | 5.59389i | −0.0697458 | − | 0.395548i | ||||
\(201\) | 1.18169 | + | 2.04674i | 0.0833497 | + | 0.144366i | ||||
\(202\) | −3.05570 | + | 10.2068i | −0.214998 | + | 0.718145i | ||||
\(203\) | 2.64684 | + | 4.58446i | 0.185772 | + | 0.321766i | ||||
\(204\) | −0.157471 | + | 2.70367i | −0.0110251 | + | 0.189294i | ||||
\(205\) | −8.18084 | + | 18.9653i | −0.571375 | + | 1.32460i | ||||
\(206\) | −5.01463 | − | 2.51844i | −0.349385 | − | 0.175468i | ||||
\(207\) | 1.38778 | + | 1.86411i | 0.0964572 | + | 0.129564i | ||||
\(208\) | 1.21207 | − | 1.28472i | 0.0840421 | − | 0.0890794i | ||||
\(209\) | −1.76739 | − | 5.90350i | −0.122253 | − | 0.408354i | ||||
\(210\) | 1.63824 | − | 1.73643i | 0.113049 | − | 0.119825i | ||||
\(211\) | −3.56800 | + | 2.99391i | −0.245631 | + | 0.206109i | −0.757288 | − | 0.653081i | \(-0.773476\pi\) |
0.511657 | + | 0.859190i | \(0.329032\pi\) | |||||||
\(212\) | −8.75307 | − | 4.39595i | −0.601163 | − | 0.301915i | ||||
\(213\) | −6.04761 | + | 0.706864i | −0.414375 | + | 0.0484335i | ||||
\(214\) | −10.8613 | − | 1.26951i | −0.742466 | − | 0.0867818i | ||||
\(215\) | −9.39478 | − | 9.95788i | −0.640719 | − | 0.679122i | ||||
\(216\) | −0.500000 | + | 0.866025i | −0.0340207 | + | 0.0589256i | ||||
\(217\) | 1.42740 | + | 0.938815i | 0.0968982 | + | 0.0637309i | ||||
\(218\) | −1.49474 | + | 0.354260i | −0.101236 | + | 0.0239935i | ||||
\(219\) | 3.08207 | + | 4.13994i | 0.208267 | + | 0.279752i | ||||
\(220\) | −1.62991 | − | 5.44429i | −0.109889 | − | 0.367054i | ||||
\(221\) | 4.78343 | 0.321769 | ||||||||
\(222\) | −0.485682 | −0.0325968 | ||||||||
\(223\) | −2.63763 | − | 8.81029i | −0.176629 | − | 0.589981i | −0.999755 | − | 0.0221228i | \(-0.992958\pi\) |
0.823127 | − | 0.567858i | \(-0.192228\pi\) | |||||||
\(224\) | −0.559583 | + | 0.469546i | −0.0373887 | + | 0.0313729i | ||||
\(225\) | 5.07600 | − | 2.54926i | 0.338400 | − | 0.169951i | ||||
\(226\) | −9.00524 | + | 12.0961i | −0.599020 | + | 0.804623i | ||||
\(227\) | −0.0625801 | − | 0.354910i | −0.00415359 | − | 0.0235562i | 0.982661 | − | 0.185414i | \(-0.0593626\pi\) |
−0.986814 | + | 0.161858i | \(0.948251\pi\) | |||||||
\(228\) | −3.33000 | + | 1.21202i | −0.220535 | + | 0.0802681i | ||||
\(229\) | −0.166474 | − | 0.385931i | −0.0110009 | − | 0.0255030i | 0.912627 | − | 0.408793i | \(-0.134050\pi\) |
−0.923628 | + | 0.383290i | \(0.874791\pi\) | |||||||
\(230\) | −0.441601 | + | 7.58200i | −0.0291183 | + | 0.499943i | ||||
\(231\) | 0.758562 | − | 1.01893i | 0.0499097 | − | 0.0670404i | ||||
\(232\) | −0.421364 | − | 7.23455i | −0.0276639 | − | 0.474971i | ||||
\(233\) | 10.4537 | − | 2.47758i | 0.684847 | − | 0.162312i | 0.126559 | − | 0.991959i | \(-0.459607\pi\) |
0.558288 | + | 0.829647i | \(0.311458\pi\) | |||||||
\(234\) | 1.57838 | + | 0.792690i | 0.103182 | + | 0.0518198i | ||||
\(235\) | 7.76917 | − | 3.90182i | 0.506804 | − | 0.254527i | ||||
\(236\) | 0.299904 | + | 5.14916i | 0.0195221 | + | 0.335182i | ||||
\(237\) | 3.20515 | + | 2.10806i | 0.208197 | + | 0.136933i | ||||
\(238\) | −1.96495 | − | 0.229670i | −0.127369 | − | 0.0148873i | ||||
\(239\) | 28.2518 | + | 6.69579i | 1.82745 | + | 0.433115i | 0.993015 | − | 0.117986i | \(-0.0376439\pi\) |
0.834439 | + | 0.551101i | \(0.185792\pi\) | |||||||
\(240\) | −3.07097 | + | 1.11774i | −0.198230 | + | 0.0721499i | ||||
\(241\) | 4.18002 | + | 7.24001i | 0.269259 | + | 0.466370i | 0.968671 | − | 0.248349i | \(-0.0798879\pi\) |
−0.699412 | + | 0.714719i | \(0.746555\pi\) | |||||||
\(242\) | 3.15913 | + | 7.32369i | 0.203077 | + | 0.470785i | ||||
\(243\) | −0.973045 | − | 0.230616i | −0.0624209 | − | 0.0147940i | ||||
\(244\) | 5.61986 | + | 5.95670i | 0.359775 | + | 0.381339i | ||||
\(245\) | −14.5020 | − | 15.3712i | −0.926500 | − | 0.982033i | ||||
\(246\) | 6.14977 | + | 1.45752i | 0.392095 | + | 0.0929282i | ||||
\(247\) | 2.47909 | + | 5.74718i | 0.157741 | + | 0.365684i | ||||
\(248\) | −1.16940 | − | 2.02547i | −0.0742573 | − | 0.128617i | ||||
\(249\) | 4.09466 | − | 1.49033i | 0.259488 | − | 0.0944460i | ||||
\(250\) | 2.16297 | + | 0.512633i | 0.136798 | + | 0.0324218i | ||||
\(251\) | −16.3098 | − | 1.90634i | −1.02946 | − | 0.120327i | −0.415445 | − | 0.909618i | \(-0.636374\pi\) |
−0.614019 | + | 0.789291i | \(0.710448\pi\) | |||||||
\(252\) | −0.610310 | − | 0.401407i | −0.0384459 | − | 0.0252863i | ||||
\(253\) | 0.234980 | + | 4.03446i | 0.0147731 | + | 0.253644i | ||||
\(254\) | 15.9196 | − | 7.99512i | 0.998884 | − | 0.501658i | ||||
\(255\) | −7.90928 | − | 3.97219i | −0.495298 | − | 0.248748i | ||||
\(256\) | 0.973045 | − | 0.230616i | 0.0608153 | − | 0.0144135i | ||||
\(257\) | −0.462549 | − | 7.94166i | −0.0288530 | − | 0.495387i | −0.981519 | − | 0.191367i | \(-0.938708\pi\) |
0.952666 | − | 0.304020i | \(-0.0983290\pi\) | |||||||
\(258\) | −2.50155 | + | 3.36017i | −0.155740 | + | 0.209195i | ||||
\(259\) | 0.0206288 | − | 0.354182i | 0.00128181 | − | 0.0220078i | ||||
\(260\) | 2.28625 | + | 5.30012i | 0.141787 | + | 0.328699i | ||||
\(261\) | 6.80977 | − | 2.47855i | 0.421514 | − | 0.153419i | ||||
\(262\) | −2.33790 | − | 13.2589i | −0.144436 | − | 0.819135i | ||||
\(263\) | −9.79013 | + | 13.1504i | −0.603685 | + | 0.810890i | −0.993952 | − | 0.109812i | \(-0.964975\pi\) |
0.390267 | + | 0.920702i | \(0.372383\pi\) | |||||||
\(264\) | −1.55400 | + | 0.780446i | −0.0956418 | + | 0.0480331i | ||||
\(265\) | 24.5214 | − | 20.5759i | 1.50634 | − | 1.26397i | ||||
\(266\) | −0.742426 | − | 2.47987i | −0.0455210 | − | 0.152051i | ||||
\(267\) | −11.9504 | −0.731350 | ||||||||
\(268\) | 2.36337 | 0.144366 | ||||||||
\(269\) | 5.15548 | + | 17.2205i | 0.314335 | + | 1.04995i | 0.958506 | + | 0.285071i | \(0.0920173\pi\) |
−0.644171 | + | 0.764881i | \(0.722797\pi\) | |||||||
\(270\) | −1.95155 | − | 2.62138i | −0.118767 | − | 0.159532i | ||||
\(271\) | −11.9831 | + | 2.84005i | −0.727922 | + | 0.172521i | −0.577837 | − | 0.816153i | \(-0.696103\pi\) |
−0.150085 | + | 0.988673i | \(0.547955\pi\) | |||||||
\(272\) | 2.26271 | + | 1.48821i | 0.137197 | + | 0.0902358i | ||||
\(273\) | −0.645107 | + | 1.11736i | −0.0390437 | + | 0.0676256i | ||||
\(274\) | −9.37268 | − | 9.93446i | −0.566224 | − | 0.600163i | ||||
\(275\) | 9.81085 | + | 1.14672i | 0.591617 | + | 0.0691501i | ||||
\(276\) | 2.30825 | − | 0.269796i | 0.138941 | − | 0.0162398i | ||||
\(277\) | −0.829062 | − | 0.416370i | −0.0498135 | − | 0.0250173i | 0.423718 | − | 0.905794i | \(-0.360725\pi\) |
−0.473532 | + | 0.880777i | \(0.657021\pi\) | |||||||
\(278\) | 4.84647 | − | 4.06667i | 0.290672 | − | 0.243903i | ||||
\(279\) | 1.60499 | − | 1.70119i | 0.0960882 | − | 0.101847i | ||||
\(280\) | −0.684674 | − | 2.28697i | −0.0409171 | − | 0.136673i | ||||
\(281\) | −9.67257 | + | 10.2523i | −0.577017 | + | 0.611603i | −0.948477 | − | 0.316847i | \(-0.897376\pi\) |
0.371460 | + | 0.928449i | \(0.378857\pi\) | |||||||
\(282\) | −1.58860 | − | 2.13387i | −0.0946000 | − | 0.127070i | ||||
\(283\) | −4.71382 | − | 2.36737i | −0.280208 | − | 0.140726i | 0.303145 | − | 0.952944i | \(-0.401963\pi\) |
−0.583353 | + | 0.812219i | \(0.698260\pi\) | |||||||
\(284\) | −2.41164 | + | 5.59081i | −0.143105 | + | 0.331754i | ||||
\(285\) | 0.673378 | − | 11.5615i | 0.0398875 | − | 0.684841i | ||||
\(286\) | 1.53572 | + | 2.65995i | 0.0908090 | + | 0.157286i | ||||
\(287\) | −1.32410 | + | 4.42280i | −0.0781591 | + | 0.261070i | ||||
\(288\) | 0.500000 | + | 0.866025i | 0.0294628 | + | 0.0510310i | ||||
\(289\) | −1.67838 | − | 9.51855i | −0.0987281 | − | 0.559915i | ||||
\(290\) | 22.2547 | + | 8.10005i | 1.30684 | + | 0.475651i | ||||
\(291\) | 9.13418 | + | 6.00764i | 0.535455 | + | 0.352174i | ||||
\(292\) | 5.12633 | − | 0.599183i | 0.299996 | − | 0.0350645i | ||||
\(293\) | 8.48016 | − | 19.6592i | 0.495416 | − | 1.14850i | −0.468781 | − | 0.883315i | \(-0.655306\pi\) |
0.964197 | − | 0.265189i | \(-0.0854342\pi\) | |||||||
\(294\) | −3.86146 | + | 5.18684i | −0.225205 | + | 0.302503i | ||||
\(295\) | −15.8397 | − | 5.76518i | −0.922223 | − | 0.335662i | ||||
\(296\) | −0.242841 | + | 0.420613i | −0.0141148 | + | 0.0244476i | ||||
\(297\) | −1.19335 | − | 1.26488i | −0.0692452 | − | 0.0733956i | ||||
\(298\) | −1.78729 | + | 10.1362i | −0.103535 | + | 0.587175i | ||||
\(299\) | −0.712774 | − | 4.04234i | −0.0412208 | − | 0.233775i | ||||
\(300\) | 0.330273 | − | 5.67058i | 0.0190683 | − | 0.327391i | ||||
\(301\) | −2.34415 | − | 1.96697i | −0.135114 | − | 0.113374i | ||||
\(302\) | 7.37892 | + | 0.862473i | 0.424609 | + | 0.0496297i | ||||
\(303\) | −5.32718 | + | 9.22694i | −0.306038 | + | 0.530074i | ||||
\(304\) | −0.615359 | + | 3.48988i | −0.0352933 | + | 0.200158i | ||||
\(305\) | −25.1492 | + | 9.15355i | −1.44004 | + | 0.524131i | ||||
\(306\) | −0.776734 | + | 2.59447i | −0.0444029 | + | 0.148316i | ||||
\(307\) | 7.37734 | − | 24.6420i | 0.421047 | − | 1.40640i | −0.440058 | − | 0.897969i | \(-0.645042\pi\) |
0.861106 | − | 0.508426i | \(-0.169773\pi\) | |||||||
\(308\) | −0.503134 | − | 1.16640i | −0.0286687 | − | 0.0664616i | ||||
\(309\) | −4.29866 | − | 3.60701i | −0.244542 | − | 0.205195i | ||||
\(310\) | 7.59168 | − | 0.887340i | 0.431178 | − | 0.0503975i | ||||
\(311\) | 3.56165 | − | 0.844126i | 0.201962 | − | 0.0478660i | −0.128389 | − | 0.991724i | \(-0.540981\pi\) |
0.330352 | + | 0.943858i | \(0.392833\pi\) | |||||||
\(312\) | 1.47568 | − | 0.970568i | 0.0835438 | − | 0.0549476i | ||||
\(313\) | 2.85510 | − | 2.39571i | 0.161380 | − | 0.135414i | −0.558522 | − | 0.829490i | \(-0.688631\pi\) |
0.719902 | + | 0.694076i | \(0.244187\pi\) | |||||||
\(314\) | 8.44581 | + | 11.3447i | 0.476625 | + | 0.640218i | ||||
\(315\) | 1.99453 | − | 1.31182i | 0.112379 | − | 0.0739128i | ||||
\(316\) | 3.42821 | − | 1.72171i | 0.192852 | − | 0.0968539i | ||||
\(317\) | 6.03292 | − | 13.9859i | 0.338843 | − | 0.785526i | −0.660553 | − | 0.750779i | \(-0.729678\pi\) |
0.999396 | − | 0.0347467i | \(-0.0110625\pi\) | |||||||
\(318\) | −7.50335 | − | 6.29606i | −0.420767 | − | 0.353065i | ||||
\(319\) | 12.2623 | + | 2.90621i | 0.686554 | + | 0.162716i | ||||
\(320\) | −0.567492 | + | 3.21841i | −0.0317238 | + | 0.179914i | ||||
\(321\) | −10.2758 | − | 3.74008i | −0.573539 | − | 0.208751i | ||||
\(322\) | 0.0987078 | + | 1.69475i | 0.00550077 | + | 0.0944446i | ||||
\(323\) | −8.01839 | + | 5.27378i | −0.446155 | + | 0.293441i | ||||
\(324\) | −0.686242 | + | 0.727374i | −0.0381245 | + | 0.0404096i | ||||
\(325\) | −10.0326 | −0.556509 | ||||||||
\(326\) | 12.7634 | + | 0.311049i | 0.706897 | + | 0.0172274i | ||||
\(327\) | −1.53615 | −0.0849491 | ||||||||
\(328\) | 4.33714 | − | 4.59710i | 0.239478 | − | 0.253832i | ||||
\(329\) | 1.62359 | − | 1.06785i | 0.0895115 | − | 0.0588726i | ||||
\(330\) | −0.330439 | − | 5.67342i | −0.0181901 | − | 0.312311i | ||||
\(331\) | −17.3756 | − | 6.32421i | −0.955050 | − | 0.347610i | −0.182958 | − | 0.983121i | \(-0.558567\pi\) |
−0.772092 | + | 0.635511i | \(0.780790\pi\) | |||||||
\(332\) | 0.756662 | − | 4.29124i | 0.0415272 | − | 0.235512i | ||||
\(333\) | −0.472590 | − | 0.112006i | −0.0258978 | − | 0.00613788i | ||||
\(334\) | −1.35958 | − | 1.14082i | −0.0743928 | − | 0.0624229i | ||||
\(335\) | −3.05917 | + | 7.09196i | −0.167141 | + | 0.387475i | ||||
\(336\) | −0.652784 | + | 0.327840i | −0.0356123 | + | 0.0178852i | ||||
\(337\) | 14.0316 | − | 9.22875i | 0.764352 | − | 0.502722i | −0.106473 | − | 0.994316i | \(-0.533956\pi\) |
0.870825 | + | 0.491593i | \(0.163585\pi\) | |||||||
\(338\) | 5.90015 | + | 7.92528i | 0.320926 | + | 0.431078i | ||||
\(339\) | −11.5521 | + | 9.69333i | −0.627422 | + | 0.526470i | ||||
\(340\) | −7.39466 | + | 4.86354i | −0.401032 | + | 0.263763i | ||||
\(341\) | 3.95748 | − | 0.937939i | 0.214309 | − | 0.0507923i | ||||
\(342\) | −3.51975 | + | 0.411400i | −0.190326 | + | 0.0222460i | ||||
\(343\) | −7.53556 | − | 6.32309i | −0.406882 | − | 0.341415i | ||||
\(344\) | 1.65922 | + | 3.84649i | 0.0894589 | + | 0.207389i | ||||
\(345\) | −2.17823 | + | 7.27579i | −0.117272 | + | 0.391715i | ||||
\(346\) | 0.0989691 | − | 0.330580i | 0.00532061 | − | 0.0177721i | ||||
\(347\) | 27.6135 | − | 10.0505i | 1.48237 | − | 0.539539i | 0.530943 | − | 0.847407i | \(-0.321838\pi\) |
0.951429 | + | 0.307868i | \(0.0996155\pi\) | |||||||
\(348\) | 1.25840 | − | 7.13671i | 0.0674571 | − | 0.382568i | ||||
\(349\) | 4.04671 | − | 7.00911i | 0.216616 | − | 0.375189i | −0.737156 | − | 0.675723i | \(-0.763832\pi\) |
0.953771 | + | 0.300534i | \(0.0971649\pi\) | |||||||
\(350\) | 4.12123 | + | 0.481702i | 0.220289 | + | 0.0257481i | ||||
\(351\) | 1.35302 | + | 1.13532i | 0.0722190 | + | 0.0605990i | ||||
\(352\) | −0.101112 | + | 1.73602i | −0.00538928 | + | 0.0925303i | ||||
\(353\) | 2.05466 | + | 11.6525i | 0.109358 | + | 0.620202i | 0.989390 | + | 0.145287i | \(0.0464104\pi\) |
−0.880031 | + | 0.474916i | \(0.842478\pi\) | |||||||
\(354\) | −0.895657 | + | 5.07952i | −0.0476036 | + | 0.269974i | ||||
\(355\) | −13.6552 | − | 14.4736i | −0.724740 | − | 0.768180i | ||||
\(356\) | −5.97518 | + | 10.3493i | −0.316684 | + | 0.548512i | ||||
\(357\) | −1.85902 | − | 0.676629i | −0.0983899 | − | 0.0358110i | ||||
\(358\) | −6.34967 | + | 8.52908i | −0.335590 | + | 0.450776i | ||||
\(359\) | 8.86077 | − | 20.5416i | 0.467654 | − | 1.08414i | −0.507307 | − | 0.861766i | \(-0.669359\pi\) |
0.974961 | − | 0.222378i | \(-0.0713818\pi\) | |||||||
\(360\) | −3.24596 | + | 0.379398i | −0.171077 | + | 0.0199960i | ||||
\(361\) | 5.38230 | + | 3.53999i | 0.283279 | + | 0.186315i | ||||
\(362\) | −3.59171 | − | 1.30728i | −0.188776 | − | 0.0687089i | ||||
\(363\) | 1.38502 | + | 7.85483i | 0.0726946 | + | 0.412272i | ||||
\(364\) | 0.645107 | + | 1.11736i | 0.0338128 | + | 0.0585655i | ||||
\(365\) | −4.83757 | + | 16.1586i | −0.253210 | + | 0.845780i | ||||
\(366\) | 4.09467 | + | 7.09217i | 0.214032 | + | 0.370714i | ||||
\(367\) | −0.573849 | + | 9.85261i | −0.0299547 | + | 0.514302i | 0.949643 | + | 0.313334i | \(0.101446\pi\) |
−0.979598 | + | 0.200968i | \(0.935591\pi\) | |||||||
\(368\) | 0.920476 | − | 2.13390i | 0.0479831 | − | 0.111237i | ||||
\(369\) | 5.64788 | + | 2.83647i | 0.294017 | + | 0.147661i | ||||
\(370\) | −0.947830 | − | 1.27316i | −0.0492754 | − | 0.0661883i | ||||
\(371\) | 4.91008 | − | 5.20438i | 0.254919 | − | 0.270198i | ||||
\(372\) | −0.670778 | − | 2.24056i | −0.0347782 | − | 0.116167i | ||||
\(373\) | −22.9344 | + | 24.3090i | −1.18750 | + | 1.25867i | −0.229047 | + | 0.973415i | \(0.573561\pi\) |
−0.958451 | + | 0.285258i | \(0.907921\pi\) | |||||||
\(374\) | −3.60772 | + | 3.02724i | −0.186551 | + | 0.156535i | ||||
\(375\) | 1.98644 | + | 0.997630i | 0.102580 | + | 0.0515174i | ||||
\(376\) | −2.64228 | + | 0.308839i | −0.136265 | + | 0.0159271i | ||||
\(377\) | −12.7131 | − | 1.48595i | −0.654758 | − | 0.0765302i | ||||
\(378\) | −0.501288 | − | 0.531335i | −0.0257835 | − | 0.0273289i | ||||
\(379\) | −3.15572 | + | 5.46586i | −0.162098 | + | 0.280762i | −0.935621 | − | 0.353006i | \(-0.885159\pi\) |
0.773523 | + | 0.633769i | \(0.218493\pi\) | |||||||
\(380\) | −9.67582 | − | 6.36389i | −0.496359 | − | 0.326461i | ||||
\(381\) | 17.3343 | − | 4.10830i | 0.888062 | − | 0.210474i | ||||
\(382\) | 3.40998 | + | 4.58040i | 0.174470 | + | 0.234353i | ||||
\(383\) | −5.55333 | − | 18.5494i | −0.283762 | − | 0.947830i | −0.974436 | − | 0.224664i | \(-0.927871\pi\) |
0.690674 | − | 0.723166i | \(-0.257314\pi\) | |||||||
\(384\) | 1.00000 | 0.0510310 | ||||||||
\(385\) | 4.15136 | 0.211573 | ||||||||
\(386\) | 4.12517 | + | 13.7790i | 0.209966 | + | 0.701334i | ||||
\(387\) | −3.20903 | + | 2.69270i | −0.163124 | + | 0.136878i | ||||
\(388\) | 9.76986 | − | 4.90661i | 0.495990 | − | 0.249095i | ||||
\(389\) | −4.47452 | + | 6.01033i | −0.226867 | + | 0.304736i | −0.900952 | − | 0.433918i | \(-0.857131\pi\) |
0.674085 | + | 0.738654i | \(0.264538\pi\) | |||||||
\(390\) | 1.00233 | + | 5.68450i | 0.0507550 | + | 0.287846i | ||||
\(391\) | 5.91431 | − | 2.15263i | 0.299100 | − | 0.108863i | ||||
\(392\) | 2.56121 | + | 5.93755i | 0.129361 | + | 0.299891i | ||||
\(393\) | 0.782827 | − | 13.4406i | 0.0394884 | − | 0.677990i | ||||
\(394\) | 1.76858 | − | 2.37561i | 0.0890997 | − | 0.119682i | ||||
\(395\) | 0.728969 | + | 12.5159i | 0.0366784 | + | 0.629744i | ||||
\(396\) | −1.69209 | + | 0.401033i | −0.0850307 | + | 0.0201527i | ||||
\(397\) | −6.50807 | − | 3.26848i | −0.326631 | − | 0.164040i | 0.277925 | − | 0.960603i | \(-0.410353\pi\) |
−0.604556 | + | 0.796563i | \(0.706649\pi\) | |||||||
\(398\) | 10.1879 | − | 5.11656i | 0.510674 | − | 0.256470i | ||||
\(399\) | −0.150515 | − | 2.58424i | −0.00753518 | − | 0.129374i | ||||
\(400\) | −4.74573 | − | 3.12131i | −0.237286 | − | 0.156066i | ||||
\(401\) | −29.3432 | − | 3.42973i | −1.46533 | − | 0.171273i | −0.654282 | − | 0.756250i | \(-0.727029\pi\) |
−0.811049 | + | 0.584978i | \(0.801103\pi\) | |||||||
\(402\) | 2.29967 | + | 0.545031i | 0.114697 | + | 0.0271837i | ||||
\(403\) | −3.88179 | + | 1.41286i | −0.193366 | + | 0.0703794i | ||||
\(404\) | 5.32718 | + | 9.22694i | 0.265037 | + | 0.459057i | ||||
\(405\) | −1.29441 | − | 3.00078i | −0.0643198 | − | 0.149110i | ||||
\(406\) | 5.15098 | + | 1.22081i | 0.255639 | + | 0.0605876i | ||||
\(407\) | −0.579588 | − | 0.614327i | −0.0287291 | − | 0.0304511i | ||||
\(408\) | 1.85851 | + | 1.96991i | 0.0920101 | + | 0.0975250i | ||||
\(409\) | −12.0380 | − | 2.85307i | −0.595243 | − | 0.141075i | −0.0780577 | − | 0.996949i | \(-0.524872\pi\) |
−0.517185 | + | 0.855874i | \(0.673020\pi\) | |||||||
\(410\) | 8.18084 | + | 18.9653i | 0.404023 | + | 0.936631i | ||||
\(411\) | −6.82900 | − | 11.8282i | −0.336849 | − | 0.583440i | ||||
\(412\) | −5.27309 | + | 1.91925i | −0.259787 | + | 0.0945546i | ||||
\(413\) | −3.66619 | − | 0.868903i | −0.180401 | − | 0.0427559i | ||||
\(414\) | 2.30825 | + | 0.269796i | 0.113444 | + | 0.0132598i | ||||
\(415\) | 11.8976 | + | 7.82521i | 0.584033 | + | 0.384124i | ||||
\(416\) | −0.102698 | − | 1.76326i | −0.00503519 | − | 0.0864509i | ||||
\(417\) | 5.65367 | − | 2.83938i | 0.276862 | − | 0.139045i | ||||
\(418\) | −5.50691 | − | 2.76568i | −0.269352 | − | 0.135274i | ||||
\(419\) | 15.3887 | − | 3.64718i | 0.751786 | − | 0.178176i | 0.163179 | − | 0.986596i | \(-0.447825\pi\) |
0.588606 | + | 0.808420i | \(0.299677\pi\) | |||||||
\(420\) | −0.138807 | − | 2.38322i | −0.00677308 | − | 0.116289i | ||||
\(421\) | −1.70505 | + | 2.29028i | −0.0830992 | + | 0.111622i | −0.841729 | − | 0.539901i | \(-0.818462\pi\) |
0.758630 | + | 0.651522i | \(0.225869\pi\) | |||||||
\(422\) | −0.270821 | + | 4.64981i | −0.0131833 | + | 0.226349i | ||||
\(423\) | −1.05368 | − | 2.44270i | −0.0512317 | − | 0.118768i | ||||
\(424\) | −9.20422 | + | 3.35006i | −0.446996 | + | 0.162693i | ||||
\(425\) | −2.67129 | − | 15.1496i | −0.129577 | − | 0.734866i | ||||
\(426\) | −3.63597 | + | 4.88395i | −0.176163 | + | 0.236628i | ||||
\(427\) | −5.34586 | + | 2.68479i | −0.258705 | + | 0.129926i | ||||
\(428\) | −8.37691 | + | 7.02906i | −0.404913 | + | 0.339762i | ||||
\(429\) | 0.880899 | + | 2.94241i | 0.0425302 | + | 0.142061i | ||||
\(430\) | −13.6902 | −0.660200 | ||||||||
\(431\) | −0.0256951 | −0.00123769 | −0.000618845 | − | 1.00000i | \(-0.500197\pi\) | ||||
−0.000618845 | 1.00000i | \(0.500197\pi\) | ||||||||
\(432\) | 0.286803 | + | 0.957990i | 0.0137988 | + | 0.0460913i | ||||
\(433\) | 3.05319 | + | 4.10115i | 0.146727 | + | 0.197089i | 0.869410 | − | 0.494091i | \(-0.164499\pi\) |
−0.722683 | + | 0.691179i | \(0.757091\pi\) | |||||||
\(434\) | 1.66241 | − | 0.393999i | 0.0797983 | − | 0.0189125i | ||||
\(435\) | 19.7868 | + | 13.0140i | 0.948706 | + | 0.623974i | ||||
\(436\) | −0.768073 | + | 1.33034i | −0.0367840 | + | 0.0637118i | ||||
\(437\) | 5.65152 | + | 5.99026i | 0.270349 | + | 0.286553i | ||||
\(438\) | 5.12633 | + | 0.599183i | 0.244946 | + | 0.0286301i | ||||
\(439\) | 7.41906 | − | 0.867164i | 0.354092 | − | 0.0413875i | 0.0628125 | − | 0.998025i | \(-0.479993\pi\) |
0.291280 | + | 0.956638i | \(0.405919\pi\) | |||||||
\(440\) | −5.07854 | − | 2.55054i | −0.242110 | − | 0.121592i | ||||
\(441\) | −4.95354 | + | 4.15652i | −0.235883 | + | 0.197929i | ||||
\(442\) | 3.28259 | − | 3.47934i | 0.156137 | − | 0.165496i | ||||
\(443\) | 1.41538 | + | 4.72770i | 0.0672467 | + | 0.224620i | 0.985007 | − | 0.172516i | \(-0.0551896\pi\) |
−0.917760 | + | 0.397135i | \(0.870004\pi\) | |||||||
\(444\) | −0.333295 | + | 0.353272i | −0.0158175 | + | 0.0167655i | ||||
\(445\) | −23.3217 | − | 31.3264i | −1.10555 | − | 1.48502i | ||||
\(446\) | −8.21842 | − | 4.12745i | −0.389154 | − | 0.195440i | ||||
\(447\) | −4.07669 | + | 9.45082i | −0.192821 | + | 0.447008i | ||||
\(448\) | −0.0424738 | + | 0.729248i | −0.00200670 | + | 0.0344537i | ||||
\(449\) | −5.38775 | − | 9.33186i | −0.254264 | − | 0.440398i | 0.710432 | − | 0.703766i | \(-0.248500\pi\) |
−0.964695 | + | 0.263369i | \(0.915166\pi\) | |||||||
\(450\) | 1.62910 | − | 5.44156i | 0.0767963 | − | 0.256518i | ||||
\(451\) | 5.49524 | + | 9.51804i | 0.258761 | + | 0.448187i | ||||
\(452\) | 2.61864 | + | 14.8510i | 0.123170 | + | 0.698535i | ||||
\(453\) | 6.98112 | + | 2.54092i | 0.328002 | + | 0.119383i | ||||
\(454\) | −0.301097 | − | 0.198035i | −0.0141312 | − | 0.00929423i | ||||
\(455\) | −4.18798 | + | 0.489505i | −0.196336 | + | 0.0229483i | ||||
\(456\) | −1.40359 | + | 3.25389i | −0.0657293 | + | 0.152378i | ||||
\(457\) | 19.6495 | − | 26.3938i | 0.919163 | − | 1.23465i | −0.0525815 | − | 0.998617i | \(-0.516745\pi\) |
0.971745 | − | 0.236034i | \(-0.0758476\pi\) | |||||||
\(458\) | −0.394958 | − | 0.143753i | −0.0184552 | − | 0.00671713i | ||||
\(459\) | −1.35412 | + | 2.34541i | −0.0632051 | + | 0.109474i | ||||
\(460\) | 5.21190 | + | 5.52430i | 0.243006 | + | 0.257572i | ||||
\(461\) | 6.53079 | − | 37.0380i | 0.304169 | − | 1.72503i | −0.323220 | − | 0.946324i | \(-0.604765\pi\) |
0.627389 | − | 0.778706i | \(-0.284124\pi\) | |||||||
\(462\) | −0.220583 | − | 1.25099i | −0.0102624 | − | 0.0582012i | ||||
\(463\) | 0.923802 | − | 15.8611i | 0.0429327 | − | 0.737126i | −0.906316 | − | 0.422600i | \(-0.861117\pi\) |
0.949249 | − | 0.314526i | \(-0.101846\pi\) | |||||||
\(464\) | −5.55138 | − | 4.65816i | −0.257716 | − | 0.216250i | ||||
\(465\) | 7.59168 | + | 0.887340i | 0.352056 | + | 0.0411494i | ||||
\(466\) | 5.37166 | − | 9.30399i | 0.248837 | − | 0.430999i | ||||
\(467\) | 4.68277 | − | 26.5573i | 0.216693 | − | 1.22892i | −0.661253 | − | 0.750163i | \(-0.729975\pi\) |
0.877945 | − | 0.478761i | \(-0.158914\pi\) | |||||||
\(468\) | 1.65973 | − | 0.604092i | 0.0767210 | − | 0.0279242i | ||||
\(469\) | −0.495138 | + | 1.65388i | −0.0228634 | + | 0.0763690i | ||||
\(470\) | 2.49344 | − | 8.32868i | 0.115014 | − | 0.384173i | ||||
\(471\) | 5.60189 | + | 12.9866i | 0.258121 | + | 0.598393i | ||||
\(472\) | 3.95117 | + | 3.31542i | 0.181867 | + | 0.152605i | ||||
\(473\) | −7.23543 | + | 0.845700i | −0.332685 | + | 0.0388853i | ||||
\(474\) | 3.73286 | − | 0.884704i | 0.171456 | − | 0.0406358i | ||||
\(475\) | 16.8175 | − | 11.0610i | 0.771639 | − | 0.507515i | ||||
\(476\) | −1.51549 | + | 1.27165i | −0.0694623 | + | 0.0582858i | ||||
\(477\) | −5.84912 | − | 7.85674i | −0.267813 | − | 0.359735i | ||||
\(478\) | 24.2579 | − | 15.9547i | 1.10953 | − | 0.729749i | ||||
\(479\) | 17.9905 | − | 9.03515i | 0.822005 | − | 0.412827i | 0.0124875 | − | 0.999922i | \(-0.496025\pi\) |
0.809518 | + | 0.587096i | \(0.199729\pi\) | |||||||
\(480\) | −1.29441 | + | 3.00078i | −0.0590815 | + | 0.136966i | ||||
\(481\) | 0.657138 | + | 0.551405i | 0.0299629 | + | 0.0251419i | ||||
\(482\) | 8.13470 | + | 1.92796i | 0.370525 | + | 0.0878161i | ||||
\(483\) | −0.294789 | + | 1.67183i | −0.0134133 | + | 0.0760709i | ||||
\(484\) | 7.49499 | + | 2.72795i | 0.340681 | + | 0.123998i | ||||
\(485\) | 2.07745 | + | 35.6684i | 0.0943320 | + | 1.61962i | ||||
\(486\) | −0.835488 | + | 0.549509i | −0.0378985 | + | 0.0249262i | ||||
\(487\) | −12.1985 | + | 12.9296i | −0.552766 | + | 0.585897i | −0.942156 | − | 0.335176i | \(-0.891204\pi\) |
0.389390 | + | 0.921073i | \(0.372686\pi\) | |||||||
\(488\) | 8.18933 | 0.370714 | ||||||||
\(489\) | 12.3476 | + | 3.24610i | 0.558377 | + | 0.146794i | ||||
\(490\) | −21.1325 | −0.954671 | ||||||||
\(491\) | 13.6009 | − | 14.4161i | 0.613800 | − | 0.650590i | −0.343681 | − | 0.939086i | \(-0.611674\pi\) |
0.957481 | + | 0.288496i | \(0.0931553\pi\) | |||||||
\(492\) | 5.28039 | − | 3.47297i | 0.238058 | − | 0.156574i | ||||
\(493\) | −1.14116 | − | 19.5929i | −0.0513952 | − | 0.882422i | ||||
\(494\) | 5.88160 | + | 2.14073i | 0.264626 | + | 0.0963159i | ||||
\(495\) | 0.986848 | − | 5.59669i | 0.0443555 | − | 0.251553i | ||||
\(496\) | −2.27577 | − | 0.539367i | −0.102185 | − | 0.0242183i | ||||
\(497\) | −3.40718 | − | 2.85896i | −0.152833 | − | 0.128242i | ||||
\(498\) | 1.72589 | − | 4.00107i | 0.0773392 | − | 0.179292i | ||||
\(499\) | 22.8187 | − | 11.4600i | 1.02150 | − | 0.513019i | 0.142481 | − | 0.989798i | \(-0.454492\pi\) |
0.879023 | + | 0.476779i | \(0.158196\pi\) | |||||||
\(500\) | 1.85719 | − | 1.22150i | 0.0830563 | − | 0.0546270i | ||||
\(501\) | −1.05984 | − | 1.42361i | −0.0473501 | − | 0.0636022i | ||||
\(502\) | −12.5791 | + | 10.5551i | −0.561431 | + | 0.471097i | ||||
\(503\) | 24.1116 | − | 15.8584i | 1.07508 | − | 0.707093i | 0.116869 | − | 0.993147i | \(-0.462714\pi\) |
0.958213 | + | 0.286055i | \(0.0923439\pi\) | |||||||
\(504\) | −0.710793 | + | 0.168461i | −0.0316613 | + | 0.00750385i | ||||
\(505\) | −34.5836 | + | 4.04224i | −1.53895 | + | 0.179877i | ||||
\(506\) | 3.09581 | + | 2.59770i | 0.137626 | + | 0.115482i | ||||
\(507\) | 3.91342 | + | 9.07232i | 0.173801 | + | 0.402916i | ||||
\(508\) | 5.10925 | − | 17.0661i | 0.226686 | − | 0.757184i | ||||
\(509\) | 7.74355 | − | 25.8652i | 0.343227 | − | 1.14646i | −0.595950 | − | 0.803022i | \(-0.703224\pi\) |
0.939176 | − | 0.343435i | \(-0.111591\pi\) | |||||||
\(510\) | −8.31694 | + | 3.02712i | −0.368280 | + | 0.134043i | ||||
\(511\) | −0.654688 | + | 3.71292i | −0.0289617 | + | 0.164250i | ||||
\(512\) | 0.500000 | − | 0.866025i | 0.0220971 | − | 0.0382733i | ||||
\(513\) | −3.51975 | − | 0.411400i | −0.155401 | − | 0.0181637i | ||||
\(514\) | −6.09397 | − | 5.11345i | −0.268794 | − | 0.225545i | ||||
\(515\) | 1.06630 | − | 18.3077i | 0.0469869 | − | 0.806733i | ||||
\(516\) | 0.727428 | + | 4.12545i | 0.0320233 | + | 0.181613i | ||||
\(517\) | 0.803317 | − | 4.55584i | 0.0353298 | − | 0.200365i | ||||
\(518\) | −0.243466 | − | 0.258059i | −0.0106973 | − | 0.0113385i | ||||
\(519\) | 0.172538 | − | 0.298845i | 0.00757359 | − | 0.0131178i | ||||
\(520\) | 5.42409 | + | 1.97421i | 0.237862 | + | 0.0865747i | ||||
\(521\) | −10.7404 | + | 14.4269i | −0.470545 | + | 0.632052i | −0.972517 | − | 0.232832i | \(-0.925201\pi\) |
0.501972 | + | 0.864884i | \(0.332608\pi\) | |||||||
\(522\) | 2.87031 | − | 6.65414i | 0.125630 | − | 0.291244i | ||||
\(523\) | 15.8805 | − | 1.85616i | 0.694405 | − | 0.0811643i | 0.238433 | − | 0.971159i | \(-0.423366\pi\) |
0.455971 | + | 0.889995i | \(0.349292\pi\) | |||||||
\(524\) | −11.2485 | − | 7.39826i | −0.491393 | − | 0.323194i | ||||
\(525\) | 3.89905 | + | 1.41914i | 0.170169 | + | 0.0619363i | ||||
\(526\) | 2.84688 | + | 16.1455i | 0.124130 | + | 0.703975i | ||||
\(527\) | −3.16704 | − | 5.48547i | −0.137958 | − | 0.238951i | ||||
\(528\) | −0.498741 | + | 1.66591i | −0.0217049 | + | 0.0724994i | ||||
\(529\) | 8.79959 | + | 15.2413i | 0.382591 | + | 0.662667i | ||||
\(530\) | 1.86124 | − | 31.9562i | 0.0808470 | − | 1.38809i | ||||
\(531\) | −2.04293 | + | 4.73605i | −0.0886558 | + | 0.205527i | ||||
\(532\) | −2.31328 | − | 1.16177i | −0.100293 | − | 0.0503692i | ||||
\(533\) | −6.66603 | − | 8.95403i | −0.288738 | − | 0.387842i | ||||
\(534\) | −8.20083 | + | 8.69237i | −0.354885 | + | 0.376156i | ||||
\(535\) | −10.2495 | − | 34.2358i | −0.443125 | − | 1.48014i | ||||
\(536\) | 1.62184 | − | 1.71905i | 0.0700530 | − | 0.0742519i | ||||
\(537\) | −8.14545 | + | 6.83485i | −0.351502 | + | 0.294945i | ||||
\(538\) | 16.0636 | + | 8.06747i | 0.692553 | + | 0.347813i | ||||
\(539\) | −11.1688 | + | 1.30544i | −0.481074 | + | 0.0562295i | ||||
\(540\) | −3.24596 | − | 0.379398i | −0.139684 | − | 0.0163267i | ||||
\(541\) | −7.75385 | − | 8.21860i | −0.333364 | − | 0.353345i | 0.538909 | − | 0.842364i | \(-0.318837\pi\) |
−0.872273 | + | 0.489019i | \(0.837355\pi\) | |||||||
\(542\) | −6.15753 | + | 10.6652i | −0.264488 | + | 0.458107i | ||||
\(543\) | −3.19342 | − | 2.10034i | −0.137043 | − | 0.0901343i | ||||
\(544\) | 2.63525 | − | 0.624565i | 0.112985 | − | 0.0267780i | ||||
\(545\) | −2.99786 | − | 4.02683i | −0.128414 | − | 0.172490i | ||||
\(546\) | 0.370038 | + | 1.23601i | 0.0158361 | + | 0.0528964i | ||||
\(547\) | 40.8034 | 1.74463 | 0.872315 | − | 0.488945i | \(-0.162618\pi\) | ||||
0.872315 | + | 0.488945i | \(0.162618\pi\) | |||||||
\(548\) | −13.6580 | −0.583440 | ||||||||
\(549\) | 2.34873 | + | 7.84529i | 0.100241 | + | 0.334829i | ||||
\(550\) | 7.56671 | − | 6.34923i | 0.322646 | − | 0.270732i | ||||
\(551\) | 22.9490 | − | 11.5254i | 0.977661 | − | 0.491000i | ||||
\(552\) | 1.38778 | − | 1.86411i | 0.0590677 | − | 0.0793417i | ||||
\(553\) | 0.486619 | + | 2.75976i | 0.0206932 | + | 0.117357i | ||||
\(554\) | −0.871793 | + | 0.317307i | −0.0370390 | + | 0.0134811i | ||||
\(555\) | −0.628671 | − | 1.45742i | −0.0266856 | − | 0.0618642i | ||||
\(556\) | 0.367860 | − | 6.31592i | 0.0156007 | − | 0.267854i | ||||
\(557\) | −1.07548 | + | 1.44462i | −0.0455695 | + | 0.0612105i | −0.824324 | − | 0.566118i | \(-0.808444\pi\) |
0.778754 | + | 0.627329i | \(0.215852\pi\) | |||||||
\(558\) | −0.135990 | − | 2.33485i | −0.00575690 | − | 0.0988422i | ||||
\(559\) | 7.19953 | − | 1.70632i | 0.304508 | − | 0.0721697i | ||||
\(560\) | −2.13333 | − | 1.07140i | −0.0901498 | − | 0.0452749i | ||||
\(561\) | −4.20861 | + | 2.11364i | −0.177687 | + | 0.0892380i | ||||
\(562\) | 0.819551 | + | 14.0711i | 0.0345707 | + | 0.593556i | ||||
\(563\) | −27.3786 | − | 18.0072i | −1.15387 | − | 0.758912i | −0.179476 | − | 0.983762i | \(-0.557440\pi\) |
−0.974393 | + | 0.224850i | \(0.927811\pi\) | |||||||
\(564\) | −2.64228 | − | 0.308839i | −0.111260 | − | 0.0130045i | ||||
\(565\) | −47.9543 | − | 11.3654i | −2.01745 | − | 0.478145i | ||||
\(566\) | −4.95678 | + | 1.80412i | −0.208349 | + | 0.0758329i | ||||
\(567\) | −0.365242 | − | 0.632617i | −0.0153387 | − | 0.0265674i | ||||
\(568\) | 2.41164 | + | 5.59081i | 0.101190 | + | 0.234585i | ||||
\(569\) | 18.8591 | + | 4.46969i | 0.790615 | + | 0.187379i | 0.606035 | − | 0.795438i | \(-0.292759\pi\) |
0.184580 | + | 0.982817i | \(0.440907\pi\) | |||||||
\(570\) | −7.94740 | − | 8.42375i | −0.332880 | − | 0.352832i | ||||
\(571\) | 8.77406 | + | 9.29996i | 0.367183 | + | 0.389191i | 0.884452 | − | 0.466632i | \(-0.154533\pi\) |
−0.517269 | + | 0.855823i | \(0.673051\pi\) | |||||||
\(572\) | 2.98865 | + | 0.708323i | 0.124962 | + | 0.0296165i | ||||
\(573\) | 2.26175 | + | 5.24333i | 0.0944859 | + | 0.219043i | ||||
\(574\) | 2.30838 | + | 3.99822i | 0.0963498 | + | 0.166883i | ||||
\(575\) | −12.4045 | + | 4.51486i | −0.517302 | + | 0.188283i | ||||
\(576\) | 0.973045 | + | 0.230616i | 0.0405435 | + | 0.00960899i | ||||
\(577\) | 3.02954 | + | 0.354102i | 0.126121 | + | 0.0147415i | 0.178919 | − | 0.983864i | \(-0.442740\pi\) |
−0.0527981 | + | 0.998605i | \(0.516814\pi\) | |||||||
\(578\) | −8.07532 | − | 5.31122i | −0.335889 | − | 0.220918i | ||||
\(579\) | 0.836313 | + | 14.3589i | 0.0347560 | + | 0.596737i | ||||
\(580\) | 21.1639 | − | 10.6289i | 0.878782 | − | 0.441341i | ||||
\(581\) | 2.84447 | + | 1.42855i | 0.118008 | + | 0.0592661i | ||||
\(582\) | 10.6381 | − | 2.52127i | 0.440962 | − | 0.104510i | ||||
\(583\) | −0.990383 | − | 17.0042i | −0.0410175 | − | 0.704242i | ||||
\(584\) | 3.08207 | − | 4.13994i | 0.127537 | − | 0.171312i | ||||
\(585\) | −0.335623 | + | 5.76243i | −0.0138763 | + | 0.238247i | ||||
\(586\) | −8.48016 | − | 19.6592i | −0.350312 | − | 0.812114i | ||||
\(587\) | −26.7950 | + | 9.75257i | −1.10595 | + | 0.402531i | −0.829505 | − | 0.558499i | \(-0.811377\pi\) |
−0.276441 | + | 0.961031i | \(0.589155\pi\) | |||||||
\(588\) | 1.12288 | + | 6.36815i | 0.0463067 | + | 0.262618i | ||||
\(589\) | 4.94929 | − | 6.64805i | 0.203932 | − | 0.273928i | ||||
\(590\) | −15.0633 | + | 7.56507i | −0.620146 | + | 0.311449i | ||||
\(591\) | 2.26876 | − | 1.90372i | 0.0933244 | − | 0.0783084i | ||||
\(592\) | 0.139295 | + | 0.465278i | 0.00572499 | + | 0.0191228i | ||||
\(593\) | −18.8259 | −0.773087 | −0.386543 | − | 0.922271i | \(-0.626331\pi\) | ||||
−0.386543 | + | 0.922271i | \(0.626331\pi\) | |||||||
\(594\) | −1.73896 | −0.0713506 | ||||||||
\(595\) | −1.85427 | − | 6.19368i | −0.0760176 | − | 0.253916i | ||||
\(596\) | 6.14631 | + | 8.25592i | 0.251763 | + | 0.338176i | ||||
\(597\) | 11.0933 | − | 2.62915i | 0.454017 | − | 0.107604i | ||||
\(598\) | −3.42943 | − | 2.25557i | −0.140240 | − | 0.0922371i | ||||
\(599\) | 10.5368 | − | 18.2503i | 0.430523 | − | 0.745688i | −0.566395 | − | 0.824134i | \(-0.691662\pi\) |
0.996918 | + | 0.0784456i | \(0.0249957\pi\) | |||||||
\(600\) | −3.89798 | − | 4.13162i | −0.159134 | − | 0.168673i | ||||
\(601\) | 11.5896 | + | 1.35463i | 0.472749 | + | 0.0552565i | 0.349132 | − | 0.937074i | \(-0.386476\pi\) |
0.123617 | + | 0.992330i | \(0.460551\pi\) | |||||||
\(602\) | −3.03937 | + | 0.355252i | −0.123876 | + | 0.0144790i | ||||
\(603\) | 2.11199 | + | 1.06068i | 0.0860067 | + | 0.0431942i | ||||
\(604\) | 5.69106 | − | 4.77537i | 0.231566 | − | 0.194307i | ||||
\(605\) | −17.8876 | + | 18.9597i | −0.727234 | + | 0.770823i | ||||
\(606\) | 3.05570 | + | 10.2068i | 0.124129 | + | 0.414621i | ||||
\(607\) | 16.6780 | − | 17.6777i | 0.676941 | − | 0.717515i | −0.294274 | − | 0.955721i | \(-0.595078\pi\) |
0.971215 | + | 0.238206i | \(0.0765593\pi\) | |||||||
\(608\) | 2.11616 | + | 2.84249i | 0.0858216 | + | 0.115278i | ||||
\(609\) | 4.73060 | + | 2.37580i | 0.191694 | + | 0.0962721i | ||||
\(610\) | −10.6004 | + | 24.5744i | −0.429196 | + | 0.994988i | ||||
\(611\) | −0.273205 | + | 4.69075i | −0.0110527 | + | 0.189767i | ||||
\(612\) | 1.35412 | + | 2.34541i | 0.0547372 | + | 0.0948076i | ||||
\(613\) | 7.39296 | − | 24.6942i | 0.298599 | − | 0.997390i | −0.668654 | − | 0.743574i | \(-0.733129\pi\) |
0.967253 | − | 0.253816i | \(-0.0816858\pi\) | |||||||
\(614\) | −12.8613 | − | 22.2765i | −0.519041 | − | 0.899005i | ||||
\(615\) | 3.58662 | + | 20.3407i | 0.144627 | + | 0.820218i | ||||
\(616\) | −1.19368 | − | 0.434463i | −0.0480946 | − | 0.0175050i | ||||
\(617\) | 13.9459 | + | 9.17238i | 0.561442 | + | 0.369266i | 0.798283 | − | 0.602282i | \(-0.205742\pi\) |
−0.236841 | + | 0.971548i | \(0.576112\pi\) | |||||||
\(618\) | −5.57356 | + | 0.651456i | −0.224202 | + | 0.0262054i | ||||
\(619\) | −0.509248 | + | 1.18057i | −0.0204684 | + | 0.0474511i | −0.928144 | − | 0.372222i | \(-0.878596\pi\) |
0.907675 | + | 0.419673i | \(0.137855\pi\) | |||||||
\(620\) | 4.56430 | − | 6.13092i | 0.183307 | − | 0.246224i | ||||
\(621\) | 2.18381 | + | 0.794844i | 0.0876335 | + | 0.0318960i | ||||
\(622\) | 1.83015 | − | 3.16992i | 0.0733825 | − | 0.127102i | ||||
\(623\) | −5.99057 | − | 6.34963i | −0.240007 | − | 0.254393i | ||||
\(624\) | 0.306706 | − | 1.73941i | 0.0122780 | − | 0.0696323i | ||||
\(625\) | −3.67030 | − | 20.8153i | −0.146812 | − | 0.832612i | ||||
\(626\) | 0.216710 | − | 3.72076i | 0.00866146 | − | 0.148712i | ||||
\(627\) | −4.72066 | − | 3.96111i | −0.188525 | − | 0.158191i | ||||
\(628\) | 14.0477 | + | 1.64194i | 0.560564 | + | 0.0655206i | ||||
\(629\) | −0.657673 | + | 1.13912i | −0.0262231 | + | 0.0454198i | ||||
\(630\) | 0.414544 | − | 2.35099i | 0.0165158 | − | 0.0936658i | ||||
\(631\) | −26.5315 | + | 9.65667i | −1.05620 | + | 0.384426i | −0.811000 | − | 0.585046i | \(-0.801076\pi\) |
−0.245202 | + | 0.969472i | \(0.578854\pi\) | |||||||
\(632\) | 1.10025 | − | 3.67510i | 0.0437657 | − | 0.146188i | ||||
\(633\) | −1.33584 | + | 4.46202i | −0.0530949 | + | 0.177349i | ||||
\(634\) | −6.03292 | − | 13.9859i | −0.239598 | − | 0.555451i | ||||
\(635\) | 44.5981 | + | 37.4222i | 1.76982 | + | 1.48506i | ||||
\(636\) | −9.72870 | + | 1.13712i | −0.385768 | + | 0.0450898i | ||||
\(637\) | 11.1134 | − | 2.63392i | 0.440328 | − | 0.104360i | ||||
\(638\) | 10.5288 | − | 6.92488i | 0.416838 | − | 0.274159i | ||||
\(639\) | −4.66428 | + | 3.91379i | −0.184516 | + | 0.154827i | ||||
\(640\) | 1.95155 | + | 2.62138i | 0.0771417 | + | 0.103619i | ||||
\(641\) | −26.6674 | + | 17.5395i | −1.05330 | + | 0.692767i | −0.953240 | − | 0.302214i | \(-0.902274\pi\) |
−0.100061 | + | 0.994981i | \(0.531904\pi\) | |||||||
\(642\) | −9.77212 | + | 4.90774i | −0.385675 | + | 0.193693i | ||||
\(643\) | −8.37407 | + | 19.4133i | −0.330241 | + | 0.765585i | 0.669499 | + | 0.742813i | \(0.266509\pi\) |
−0.999741 | + | 0.0227727i | \(0.992751\pi\) | |||||||
\(644\) | 1.30045 | + | 1.09121i | 0.0512450 | + | 0.0429997i | ||||
\(645\) | −13.3212 | − | 3.15718i | −0.524521 | − | 0.124314i | ||||
\(646\) | −1.66655 | + | 9.45145i | −0.0655693 | + | 0.371862i | ||||
\(647\) | −31.2252 | − | 11.3651i | −1.22759 | − | 0.446806i | −0.354819 | − | 0.934935i | \(-0.615457\pi\) |
−0.872772 | + | 0.488129i | \(0.837680\pi\) | |||||||
\(648\) | 0.0581448 | + | 0.998308i | 0.00228414 | + | 0.0392172i | ||||
\(649\) | −7.49381 | + | 4.92875i | −0.294158 | + | 0.193471i | ||||
\(650\) | −6.88479 | + | 7.29746i | −0.270044 | + | 0.286230i | ||||
\(651\) | 1.70846 | 0.0669599 | ||||||||
\(652\) | 8.98499 | − | 9.07027i | 0.351880 | − | 0.355219i | ||||
\(653\) | 0.349278 | 0.0136683 | 0.00683415 | − | 0.999977i | \(-0.497825\pi\) | ||||
0.00683415 | + | 0.999977i | \(0.497825\pi\) | |||||||
\(654\) | −1.05417 | + | 1.11735i | −0.0412212 | + | 0.0436919i | ||||
\(655\) | 36.7607 | − | 24.1779i | 1.43636 | − | 0.944710i | ||||
\(656\) | −0.367483 | − | 6.30944i | −0.0143478 | − | 0.246342i | ||||
\(657\) | 4.84997 | + | 1.76525i | 0.189215 | + | 0.0688688i | ||||
\(658\) | 0.337448 | − | 1.91376i | 0.0131551 | − | 0.0746062i | ||||
\(659\) | 19.9009 | + | 4.71660i | 0.775229 | + | 0.183733i | 0.599143 | − | 0.800642i | \(-0.295508\pi\) |
0.176086 | + | 0.984375i | \(0.443656\pi\) | |||||||
\(660\) | −4.35346 | − | 3.65298i | −0.169458 | − | 0.142192i | ||||
\(661\) | 13.8363 | − | 32.0762i | 0.538170 | − | 1.24762i | −0.404698 | − | 0.914450i | \(-0.632623\pi\) |
0.942868 | − | 0.333167i | \(-0.108117\pi\) | |||||||
\(662\) | −16.5239 | + | 8.29863i | −0.642221 | + | 0.322535i | ||||
\(663\) | 3.99650 | − | 2.62854i | 0.155211 | − | 0.102084i | ||||
\(664\) | −2.60208 | − | 3.49520i | −0.100980 | − | 0.135640i | ||||
\(665\) | 6.48056 | − | 5.43783i | 0.251305 | − | 0.210870i | ||||
\(666\) | −0.405781 | + | 0.266886i | −0.0157237 | + | 0.0103416i | ||||
\(667\) | −16.3874 | + | 3.88388i | −0.634522 | + | 0.150384i | ||||
\(668\) | −1.76280 | + | 0.206042i | −0.0682048 | + | 0.00797200i | ||||
\(669\) | −7.04504 | − | 5.91149i | −0.272377 | − | 0.228551i | ||||
\(670\) | 3.05917 | + | 7.09196i | 0.118186 | + | 0.273986i | ||||
\(671\) | −4.08435 | + | 13.6427i | −0.157675 | + | 0.526670i | ||||
\(672\) | −0.209505 | + | 0.699796i | −0.00808183 | + | 0.0269952i | ||||
\(673\) | 29.0729 | − | 10.5817i | 1.12068 | − | 0.407894i | 0.285780 | − | 0.958295i | \(-0.407748\pi\) |
0.834900 | + | 0.550401i | \(0.185525\pi\) | |||||||
\(674\) | 2.91634 | − | 16.5394i | 0.112333 | − | 0.637074i | ||||
\(675\) | 2.84009 | − | 4.91919i | 0.109315 | − | 0.189340i | ||||
\(676\) | 9.81357 | + | 1.14704i | 0.377445 | + | 0.0441170i | ||||
\(677\) | 11.7299 | + | 9.84258i | 0.450818 | + | 0.378281i | 0.839739 | − | 0.542990i | \(-0.182708\pi\) |
−0.388921 | + | 0.921271i | \(0.627152\pi\) | |||||||
\(678\) | −0.876833 | + | 15.0546i | −0.0336746 | + | 0.578170i | ||||
\(679\) | 1.38679 | + | 7.86487i | 0.0532200 | + | 0.301826i | ||||
\(680\) | −1.53691 | + | 8.71624i | −0.0589378 | + | 0.334253i | ||||
\(681\) | −0.247311 | − | 0.262134i | −0.00947698 | − | 0.0100450i | ||||
\(682\) | 2.03355 | − | 3.52222i | 0.0778688 | − | 0.134873i | ||||
\(683\) | 17.0960 | + | 6.22242i | 0.654158 | + | 0.238094i | 0.647712 | − | 0.761885i | \(-0.275726\pi\) |
0.00644616 | + | 0.999979i | \(0.497948\pi\) | |||||||
\(684\) | −2.11616 | + | 2.84249i | −0.0809133 | + | 0.108685i | ||||
\(685\) | 17.6790 | − | 40.9846i | 0.675482 | − | 1.56594i | ||||
\(686\) | −9.77047 | + | 1.14200i | −0.373038 | + | 0.0436019i | ||||
\(687\) | −0.351160 | − | 0.230962i | −0.0133976 | − | 0.00881173i | ||||
\(688\) | 3.93646 | + | 1.43275i | 0.150076 | + | 0.0546232i | ||||
\(689\) | 3.00416 | + | 17.0374i | 0.114449 | + | 0.649074i | ||||
\(690\) | 3.79743 | + | 6.57734i | 0.144566 | + | 0.250395i | ||||
\(691\) | −5.95699 | + | 19.8977i | −0.226615 | + | 0.756946i | 0.766751 | + | 0.641945i | \(0.221872\pi\) |
−0.993365 | + | 0.115001i | \(0.963313\pi\) | |||||||
\(692\) | −0.172538 | − | 0.298845i | −0.00655892 | − | 0.0113604i | ||||
\(693\) | 0.0738605 | − | 1.26814i | 0.00280573 | − | 0.0481725i | ||||
\(694\) | 11.6391 | − | 26.9824i | 0.441814 | − | 1.02424i | ||||
\(695\) | 18.4765 | + | 9.27926i | 0.700854 | + | 0.351982i | ||||
\(696\) | −4.32749 | − | 5.81283i | −0.164033 | − | 0.220335i | ||||
\(697\) | 11.7460 | − | 12.4501i | 0.444913 | − | 0.471580i | ||||
\(698\) | −2.32122 | − | 7.75342i | −0.0878595 | − | 0.293471i | ||||
\(699\) | 7.37252 | − | 7.81441i | 0.278854 | − | 0.295568i | ||||
\(700\) | 3.17854 | − | 2.66711i | 0.120137 | − | 0.100807i | ||||
\(701\) | 2.65482 | + | 1.33330i | 0.100271 | + | 0.0503580i | 0.498228 | − | 0.867046i | \(-0.333984\pi\) |
−0.397957 | + | 0.917404i | \(0.630281\pi\) | |||||||
\(702\) | 1.75430 | − | 0.205049i | 0.0662119 | − | 0.00773906i | ||||
\(703\) | −1.70948 | − | 0.199809i | −0.0644742 | − | 0.00753595i | ||||
\(704\) | 1.19335 | + | 1.26488i | 0.0449761 | + | 0.0476718i | ||||
\(705\) | 4.34696 | − | 7.52915i | 0.163716 | − | 0.283564i | ||||
\(706\) | 9.88575 | + | 6.50196i | 0.372055 | + | 0.244704i | ||||
\(707\) | −7.57304 | + | 1.79484i | −0.284814 | + | 0.0675020i | ||||
\(708\) | 3.08008 | + | 4.13726i | 0.115756 | + | 0.155488i | ||||
\(709\) | −0.449072 | − | 1.50000i | −0.0168652 | − | 0.0563338i | 0.949143 | − | 0.314846i | \(-0.101953\pi\) |
−0.966008 | + | 0.258512i | \(0.916768\pi\) | |||||||
\(710\) | −19.8985 | −0.746776 | ||||||||
\(711\) | 3.83627 | 0.143871 | ||||||||
\(712\) | 3.42740 | + | 11.4483i | 0.128447 | + | 0.429044i | ||||
\(713\) | −4.16369 | + | 3.49375i | −0.155932 | + | 0.130842i | ||||
\(714\) | −1.76790 | + | 0.887873i | −0.0661620 | + | 0.0332278i | ||||
\(715\) | −5.99406 | + | 8.05142i | −0.224165 | + | 0.301106i | ||||
\(716\) | 1.84642 | + | 10.4716i | 0.0690041 | + | 0.391342i | ||||
\(717\) | 27.2834 | − | 9.93034i | 1.01892 | − | 0.370855i | ||||
\(718\) | −8.86077 | − | 20.5416i | −0.330681 | − | 0.766605i | ||||
\(719\) | 2.09449 | − | 35.9610i | 0.0781113 | − | 1.34112i | −0.700518 | − | 0.713635i | \(-0.747048\pi\) |
0.778629 | − | 0.627484i | \(-0.215915\pi\) | |||||||
\(720\) | −1.95155 | + | 2.62138i | −0.0727299 | + | 0.0976932i | ||||
\(721\) | −0.238342 | − | 4.09218i | −0.00887633 | − | 0.152401i | ||||
\(722\) | 6.26846 | − | 1.48565i | 0.233288 | − | 0.0552902i | ||||
\(723\) | 7.47081 | + | 3.75198i | 0.277842 | + | 0.139538i | ||||
\(724\) | −3.41566 | + | 1.71541i | −0.126942 | + | 0.0637526i | ||||
\(725\) | 2.39343 | + | 41.0936i | 0.0888897 | + | 1.52618i | ||||
\(726\) | 6.66385 | + | 4.38289i | 0.247319 | + | 0.162664i | ||||
\(727\) | 15.8561 | + | 1.85332i | 0.588072 | + | 0.0687357i | 0.404925 | − | 0.914350i | \(-0.367298\pi\) |
0.183147 | + | 0.983086i | \(0.441372\pi\) | |||||||
\(728\) | 1.25544 | + | 0.297544i | 0.0465296 | + | 0.0110277i | ||||
\(729\) | −0.939693 | + | 0.342020i | −0.0348034 | + | 0.0126674i | ||||
\(730\) | 8.43360 | + | 14.6074i | 0.312141 | + | 0.540645i | ||||
\(731\) | 4.49357 | + | 10.4173i | 0.166201 | + | 0.385296i | ||||
\(732\) | 7.96859 | + | 1.88859i | 0.294527 | + | 0.0698043i | ||||
\(733\) | −5.37102 | − | 5.69295i | −0.198383 | − | 0.210274i | 0.620543 | − | 0.784172i | \(-0.286912\pi\) |
−0.818927 | + | 0.573898i | \(0.805431\pi\) | |||||||
\(734\) | 6.77273 | + | 7.17867i | 0.249986 | + | 0.264970i | ||||
\(735\) | −20.5629 | − | 4.87350i | −0.758474 | − | 0.179762i | ||||
\(736\) | −0.920476 | − | 2.13390i | −0.0339292 | − | 0.0786568i | ||||
\(737\) | 2.05491 | + | 3.55921i | 0.0756936 | + | 0.131105i | ||||
\(738\) | 5.93898 | − | 2.16161i | 0.218617 | − | 0.0795700i | ||||
\(739\) | −16.1150 | − | 3.81933i | −0.592801 | − | 0.140496i | −0.0767441 | − | 0.997051i | \(-0.524452\pi\) |
−0.516057 | + | 0.856554i | \(0.672601\pi\) | |||||||
\(740\) | −1.57650 | − | 0.184267i | −0.0579534 | − | 0.00677378i | ||||
\(741\) | 5.22938 | + | 3.43942i | 0.192106 | + | 0.126350i | ||||
\(742\) | −0.416028 | − | 7.14293i | −0.0152729 | − | 0.262225i | ||||
\(743\) | −12.4979 | + | 6.27669i | −0.458504 | + | 0.230269i | −0.663032 | − | 0.748591i | \(-0.730730\pi\) |
0.204528 | + | 0.978861i | \(0.434434\pi\) | |||||||
\(744\) | −2.09004 | − | 1.04966i | −0.0766245 | − | 0.0384823i | ||||
\(745\) | −32.7301 | + | 7.75717i | −1.19914 | + | 0.284201i | ||||
\(746\) | 1.94322 | + | 33.3637i | 0.0711462 | + | 1.22153i | ||||
\(747\) | 2.60208 | − | 3.49520i | 0.0952053 | − | 0.127883i | ||||
\(748\) | −0.273836 | + | 4.70158i | −0.0100124 | + | 0.171907i | ||||
\(749\) | −3.16390 | − | 7.33475i | −0.115606 | − | 0.268006i | ||||
\(750\) | 2.08883 | − | 0.760272i | 0.0762733 | − | 0.0277612i | ||||
\(751\) | 4.65029 | + | 26.3731i | 0.169691 | + | 0.962368i | 0.944094 | + | 0.329675i | \(0.106939\pi\) |
−0.774403 | + | 0.632693i | \(0.781950\pi\) | |||||||
\(752\) | −1.58860 | + | 2.13387i | −0.0579304 | + | 0.0778141i | ||||
\(753\) | −14.6742 | + | 7.36965i | −0.534757 | + | 0.268565i | ||||
\(754\) | −9.80510 | + | 8.22746i | −0.357081 | + | 0.299626i | ||||
\(755\) | 6.96327 | + | 23.2589i | 0.253419 | + | 0.846479i | ||||
\(756\) | −0.730484 | −0.0265674 | ||||||||
\(757\) | −26.6687 | −0.969290 | −0.484645 | − | 0.874711i | \(-0.661051\pi\) | ||||
−0.484645 | + | 0.874711i | \(0.661051\pi\) | |||||||
\(758\) | 1.81014 | + | 6.04629i | 0.0657472 | + | 0.219611i | ||||
\(759\) | 2.41329 | + | 3.24162i | 0.0875971 | + | 0.117663i | ||||
\(760\) | −11.2689 | + | 2.67077i | −0.408765 | + | 0.0968791i | ||||
\(761\) | −0.425365 | − | 0.279767i | −0.0154195 | − | 0.0101415i | 0.541776 | − | 0.840523i | \(-0.317752\pi\) |
−0.557195 | + | 0.830381i | \(0.688123\pi\) | |||||||
\(762\) | 8.90723 | − | 15.4278i | 0.322675 | − | 0.558889i | ||||
\(763\) | −0.770052 | − | 0.816207i | −0.0278778 | − | 0.0295487i | ||||
\(764\) | 5.67173 | + | 0.662930i | 0.205196 | + | 0.0239840i | ||||
\(765\) | −8.79086 | + | 1.02750i | −0.317834 | + | 0.0371495i | ||||
\(766\) | −17.3033 | − | 8.69003i | −0.625193 | − | 0.313983i | ||||
\(767\) | 6.97874 | − | 5.85586i | 0.251988 | − | 0.211443i | ||||
\(768\) | 0.686242 | − | 0.727374i | 0.0247626 | − | 0.0262468i | ||||
\(769\) | −1.54711 | − | 5.16771i | −0.0557903 | − | 0.186352i | 0.925552 | − | 0.378620i | \(-0.123601\pi\) |
−0.981343 | + | 0.192267i | \(0.938416\pi\) | |||||||
\(770\) | 2.84884 | − | 3.01959i | 0.102665 | − | 0.108819i | ||||
\(771\) | −4.75047 | − | 6.38098i | −0.171084 | − | 0.229805i | ||||
\(772\) | 12.8534 | + | 6.45520i | 0.462603 | + | 0.232328i | ||||
\(773\) | −20.4981 | + | 47.5200i | −0.737266 | + | 1.70917i | −0.0327727 | + | 0.999463i | \(0.510434\pi\) |
−0.704493 | + | 0.709711i | \(0.748826\pi\) | |||||||
\(774\) | −0.243574 | + | 4.18201i | −0.00875509 | + | 0.150319i | ||||
\(775\) | 6.64244 | + | 11.5050i | 0.238603 | + | 0.413273i | ||||
\(776\) | 3.13555 | − | 10.4735i | 0.112560 | − | 0.375975i | ||||
\(777\) | −0.177391 | − | 0.307251i | −0.00636387 | − | 0.0110226i | ||||
\(778\) | 1.30115 | + | 7.37919i | 0.0466485 | + | 0.264557i | ||||
\(779\) | 21.0460 | + | 7.66013i | 0.754053 | + | 0.274453i | ||||
\(780\) | 4.82260 | + | 3.17187i | 0.172677 | + | 0.113571i | ||||
\(781\) | −10.5166 | + | 1.22921i | −0.376313 | + | 0.0439846i | ||||
\(782\) | 2.49288 | − | 5.77914i | 0.0891452 | − | 0.206662i | ||||
\(783\) | 4.32749 | − | 5.81283i | 0.154652 | − | 0.207734i | ||||
\(784\) | 6.07642 | + | 2.21164i | 0.217015 | + | 0.0789870i | ||||
\(785\) | −23.1106 | + | 40.0287i | −0.824853 | + | 1.42869i | ||||
\(786\) | −9.23915 | − | 9.79292i | −0.329549 | − | 0.349302i | ||||
\(787\) | −1.45567 | + | 8.25550i | −0.0518889 | + | 0.294277i | −0.999698 | − | 0.0245607i | \(-0.992181\pi\) |
0.947809 | + | 0.318837i | \(0.103292\pi\) | |||||||
\(788\) | −0.514286 | − | 2.91666i | −0.0183207 | − | 0.103902i | ||||
\(789\) | −0.953257 | + | 16.3668i | −0.0339368 | + | 0.582673i | ||||
\(790\) | 9.60400 | + | 8.05871i | 0.341695 | + | 0.286716i | ||||
\(791\) | −10.9413 | − | 1.27886i | −0.389028 | − | 0.0454709i | ||||
\(792\) | −0.869482 | + | 1.50599i | −0.0308957 | + | 0.0535129i | ||||
\(793\) | 2.51171 | − | 14.2446i | 0.0891935 | − | 0.505842i | ||||
\(794\) | −6.84351 | + | 2.49083i | −0.242867 | + | 0.0883964i | ||||
\(795\) | 9.18067 | − | 30.6656i | 0.325605 | − | 1.08760i | ||||
\(796\) | 3.26972 | − | 10.9216i | 0.115892 | − | 0.387107i | ||||
\(797\) | 1.94513 | + | 4.50931i | 0.0688999 | + | 0.159728i | 0.949186 | − | 0.314715i | \(-0.101909\pi\) |
−0.880286 | + | 0.474443i | \(0.842650\pi\) | |||||||
\(798\) | −1.98300 | − | 1.66394i | −0.0701975 | − | 0.0589027i | ||||
\(799\) | −7.15596 | + | 0.836412i | −0.253160 | + | 0.0295901i | ||||
\(800\) | −5.52708 | + | 1.30994i | −0.195412 | + | 0.0463134i | ||||
\(801\) | −9.98437 | + | 6.56683i | −0.352780 | + | 0.232027i | ||||
\(802\) | −22.6313 | + | 18.9899i | −0.799137 | + | 0.670556i | ||||
\(803\) | 5.35962 | + | 7.19922i | 0.189137 | + | 0.254055i | ||||
\(804\) | 1.97457 | − | 1.29869i | 0.0696377 | − | 0.0458014i | ||||
\(805\) | −4.95780 | + | 2.48990i | −0.174739 | + | 0.0877575i | ||||
\(806\) | −1.63617 | + | 3.79307i | −0.0576317 | + | 0.133605i | ||||
\(807\) | 13.7702 | + | 11.5545i | 0.484733 | + | 0.406739i | ||||
\(808\) | 10.3672 | + | 2.45706i | 0.364715 | + | 0.0864391i | ||||
\(809\) | −4.58736 | + | 26.0162i | −0.161283 | + | 0.914681i | 0.791532 | + | 0.611128i | \(0.209284\pi\) |
−0.952815 | + | 0.303553i | \(0.901827\pi\) | |||||||
\(810\) | −3.07097 | − | 1.11774i | −0.107903 | − | 0.0392734i | ||||
\(811\) | 1.64371 | + | 28.2215i | 0.0577186 | + | 0.990990i | 0.895522 | + | 0.445018i | \(0.146803\pi\) |
−0.837803 | + | 0.545973i | \(0.816160\pi\) | |||||||
\(812\) | 4.42280 | − | 2.90892i | 0.155210 | − | 0.102083i | ||||
\(813\) | −8.45110 | + | 8.95765i | −0.296393 | + | 0.314158i | ||||
\(814\) | −0.844583 | −0.0296026 | ||||||||
\(815\) | 15.5876 | + | 38.7027i | 0.546011 | + | 1.35570i | ||||
\(816\) | 2.70825 | 0.0948076 | ||||||||
\(817\) | −10.1872 | + | 10.7978i | −0.356406 | + | 0.377768i | ||||
\(818\) | −10.3362 | + | 6.79826i | −0.361398 | + | 0.237695i | ||||
\(819\) | 0.0750193 | + | 1.28803i | 0.00262139 | + | 0.0450075i | ||||
\(820\) | 19.4089 | + | 7.06427i | 0.677789 | + | 0.246695i | ||||
\(821\) | −9.25131 | + | 52.4668i | −0.322873 | + | 1.83110i | 0.201346 | + | 0.979520i | \(0.435468\pi\) |
−0.524219 | + | 0.851583i | \(0.675643\pi\) | |||||||
\(822\) | −13.2898 | − | 3.14975i | −0.463536 | − | 0.109860i | ||||
\(823\) | −42.3444 | − | 35.5312i | −1.47603 | − | 1.23854i | −0.910299 | − | 0.413951i | \(-0.864148\pi\) |
−0.565734 | − | 0.824588i | \(-0.691407\pi\) | |||||||
\(824\) | −2.22260 | + | 5.15258i | −0.0774281 | + | 0.179498i | ||||
\(825\) | 8.82698 | − | 4.43308i | 0.307316 | − | 0.154340i | ||||
\(826\) | −3.14791 | + | 2.07041i | −0.109530 | + | 0.0720389i | ||||
\(827\) | −33.0092 | − | 44.3390i | −1.14784 | − | 1.54182i | −0.795506 | − | 0.605945i | \(-0.792795\pi\) |
−0.352335 | − | 0.935874i | \(-0.614612\pi\) | |||||||
\(828\) | 1.78026 | − | 1.49382i | 0.0618684 | − | 0.0519137i | ||||
\(829\) | 41.2305 | − | 27.1177i | 1.43200 | − | 0.941838i | 0.432810 | − | 0.901485i | \(-0.357522\pi\) |
0.999185 | − | 0.0403532i | \(-0.0128483\pi\) | |||||||
\(830\) | 13.8565 | − | 3.28405i | 0.480966 | − | 0.113991i | ||||
\(831\) | −0.921470 | + | 0.107704i | −0.0319654 | + | 0.00373622i | ||||
\(832\) | −1.35302 | − | 1.13532i | −0.0469076 | − | 0.0393602i | ||||
\(833\) | 6.93639 | + | 16.0803i | 0.240332 | + | 0.557151i | ||||
\(834\) | 1.81449 | − | 6.06083i | 0.0628308 | − | 0.209870i | ||||
\(835\) | 1.66350 | − | 5.55648i | 0.0575679 | − | 0.192290i | ||||
\(836\) | −5.79075 | + | 2.10766i | −0.200277 | + | 0.0728950i | ||||
\(837\) | 0.406130 | − | 2.30328i | 0.0140379 | − | 0.0796129i | ||||
\(838\) | 7.90748 | − | 13.6962i | 0.273159 | − | 0.473126i | ||||
\(839\) | −1.05219 | − | 0.122984i | −0.0363257 | − | 0.00424587i | 0.0979106 | − | 0.995195i | \(-0.468784\pi\) |
−0.134236 | + | 0.990949i | \(0.542858\pi\) | |||||||
\(840\) | −1.82875 | − | 1.53450i | −0.0630978 | − | 0.0529453i | ||||
\(841\) | −1.36735 | + | 23.4764i | −0.0471499 | + | 0.809532i | ||||
\(842\) | 0.495814 | + | 2.81190i | 0.0170869 | + | 0.0969044i | ||||
\(843\) | −2.44757 | + | 13.8809i | −0.0842988 | + | 0.478082i | ||||
\(844\) | 3.19630 | + | 3.38788i | 0.110021 | + | 0.116616i | ||||
\(845\) | −16.1448 | + | 27.9636i | −0.555398 | + | 0.961978i | ||||
\(846\) | −2.49984 | − | 0.909866i | −0.0859462 | − | 0.0312819i | ||||
\(847\) | −3.47925 | + | 4.67344i | −0.119548 | + | 0.160581i | ||||
\(848\) | −3.87957 | + | 8.99386i | −0.133225 | + | 0.308850i | ||||
\(849\) | −5.23923 | + | 0.612378i | −0.179810 | + | 0.0210168i | ||||
\(850\) | −12.8526 | − | 8.45329i | −0.440841 | − | 0.289945i | ||||
\(851\) | 1.06064 | + | 0.386041i | 0.0363582 | + | 0.0132333i | ||||
\(852\) | 1.05731 | + | 5.99628i | 0.0362227 | + | 0.205429i | ||||
\(853\) | 12.4883 | + | 21.6304i | 0.427591 | + | 0.740610i | 0.996658 | − | 0.0816813i | \(-0.0260290\pi\) |
−0.569067 | + | 0.822291i | \(0.692696\pi\) | |||||||
\(854\) | −1.71571 | + | 5.73086i | −0.0587103 | + | 0.196106i | ||||
\(855\) | −5.79052 | − | 10.0295i | −0.198032 | − | 0.343001i | ||||
\(856\) | −0.635830 | + | 10.9168i | −0.0217322 | + | 0.373128i | ||||
\(857\) | 1.03020 | − | 2.38828i | 0.0351911 | − | 0.0815822i | −0.899714 | − | 0.436480i | \(-0.856225\pi\) |
0.934905 | + | 0.354898i | \(0.115484\pi\) | |||||||
\(858\) | 2.74474 | + | 1.37846i | 0.0937038 | + | 0.0470598i | ||||
\(859\) | −4.83950 | − | 6.50058i | −0.165122 | − | 0.221797i | 0.711859 | − | 0.702322i | \(-0.247853\pi\) |
−0.876981 | + | 0.480525i | \(0.840446\pi\) | |||||||
\(860\) | −9.39478 | + | 9.95788i | −0.320359 | + | 0.339561i | ||||
\(861\) | 1.32410 | + | 4.42280i | 0.0451252 | + | 0.150729i | ||||
\(862\) | −0.0176330 | + | 0.0186899i | −0.000600584 | + | 0.000636582i | ||||
\(863\) | −8.05127 | + | 6.75582i | −0.274068 | + | 0.229971i | −0.769454 | − | 0.638703i | \(-0.779471\pi\) |
0.495385 | + | 0.868673i | \(0.335027\pi\) | |||||||
\(864\) | 0.893633 | + | 0.448799i | 0.0304020 | + | 0.0152685i | ||||
\(865\) | 1.12010 | − | 0.130921i | 0.0380847 | − | 0.00445146i | ||||
\(866\) | 5.07830 | + | 0.593568i | 0.172568 | + | 0.0201703i | ||||
\(867\) | −6.63279 | − | 7.03035i | −0.225262 | − | 0.238763i | ||||
\(868\) | 0.854231 | − | 1.47957i | 0.0289945 | − | 0.0502199i | ||||
\(869\) | 5.57365 | + | 3.66585i | 0.189073 | + | 0.124355i | ||||
\(870\) | 23.0446 | − | 5.46167i | 0.781285 | − | 0.185168i | ||||
\(871\) | −2.49272 | − | 3.34830i | −0.0844625 | − | 0.113453i | ||||
\(872\) | 0.440572 | + | 1.47161i | 0.0149196 | + | 0.0498351i | ||||
\(873\) | 10.9327 | 0.370018 | ||||||||
\(874\) | 8.23547 | 0.278569 | ||||||||
\(875\) | 0.465706 | + | 1.55557i | 0.0157437 | + | 0.0525877i | ||||
\(876\) | 3.95373 | − | 3.31758i | 0.133584 | − | 0.112091i | ||||
\(877\) | 41.0017 | − | 20.5918i | 1.38453 | − | 0.695337i | 0.408456 | − | 0.912778i | \(-0.366067\pi\) |
0.976074 | + | 0.217441i | \(0.0697709\pi\) | |||||||
\(878\) | 4.46051 | − | 5.99151i | 0.150535 | − | 0.202204i | ||||
\(879\) | −3.71785 | − | 21.0850i | −0.125400 | − | 0.711178i | ||||
\(880\) | −5.34030 | + | 1.94371i | −0.180022 | + | 0.0655225i | ||||
\(881\) | −10.3254 | − | 23.9369i | −0.347871 | − | 0.806456i | −0.998877 | − | 0.0473829i | \(-0.984912\pi\) |
0.651006 | − | 0.759073i | \(-0.274347\pi\) | |||||||
\(882\) | −0.375987 | + | 6.45545i | −0.0126602 | + | 0.217366i | ||||
\(883\) | 9.89244 | − | 13.2879i | 0.332907 | − | 0.447172i | −0.603878 | − | 0.797077i | \(-0.706379\pi\) |
0.936785 | + | 0.349905i | \(0.113786\pi\) | |||||||
\(884\) | −0.278132 | − | 4.77534i | −0.00935459 | − | 0.160612i | ||||
\(885\) | −16.4019 | + | 3.88732i | −0.551344 | + | 0.130671i | ||||
\(886\) | 4.41009 | + | 2.21483i | 0.148160 | + | 0.0744087i | ||||
\(887\) | 44.2102 | − | 22.2032i | 1.48443 | − | 0.745511i | 0.492269 | − | 0.870443i | \(-0.336168\pi\) |
0.992165 | + | 0.124932i | \(0.0398713\pi\) | |||||||
\(888\) | 0.0282399 | + | 0.484860i | 0.000947668 | + | 0.0162708i | ||||
\(889\) | 10.8723 | + | 7.15086i | 0.364647 | + | 0.239832i | ||||
\(890\) | −38.7903 | − | 4.53394i | −1.30026 | − | 0.151978i | ||||
\(891\) | −1.69209 | − | 0.401033i | −0.0566872 | − | 0.0134351i | ||||
\(892\) | −8.64202 | + | 3.14544i | −0.289356 | + | 0.105317i | ||||
\(893\) | −4.71362 | − | 8.16423i | −0.157735 | − | 0.273205i | ||||
\(894\) | 4.07669 | + | 9.45082i | 0.136345 | + | 0.316083i | ||||
\(895\) | −33.8130 | − | 8.01383i | −1.13024 | − | 0.267873i | ||||
\(896\) | 0.501288 | + | 0.531335i | 0.0167469 | + | 0.0177506i | ||||
\(897\) | −2.81682 | − | 2.98565i | −0.0940507 | − | 0.0996880i | ||||
\(898\) | −10.4850 | − | 2.48500i | −0.349891 | − | 0.0829256i | ||||
\(899\) | 6.71312 | + | 15.5628i | 0.223895 | + | 0.519047i | ||||
\(900\) | −2.84009 | − | 4.91919i | −0.0946698 | − | 0.163973i | ||||
\(901\) | −24.9273 | + | 9.07280i | −0.830449 | + | 0.302259i | ||||
\(902\) | 10.6942 | + | 2.53458i | 0.356079 | + | 0.0843923i | ||||
\(903\) | −3.03937 | − | 0.355252i | −0.101144 | − | 0.0118220i | ||||
\(904\) | 12.5993 | + | 8.28668i | 0.419046 | + | 0.275611i | ||||
\(905\) | −0.726300 | − | 12.4701i | −0.0241430 | − | 0.414520i | ||||
\(906\) | 6.63894 | − | 3.33420i | 0.220564 | − | 0.110771i | ||||
\(907\) | 27.1035 | + | 13.6119i | 0.899956 | + | 0.451975i | 0.837728 | − | 0.546087i | \(-0.183883\pi\) |
0.0622278 | + | 0.998062i | \(0.480179\pi\) | |||||||
\(908\) | −0.350670 | + | 0.0831104i | −0.0116374 | + | 0.00275812i | ||||
\(909\) | 0.619495 | + | 10.6363i | 0.0205474 | + | 0.352785i | ||||
\(910\) | −2.51791 | + | 3.38215i | −0.0834680 | + | 0.112117i | ||||
\(911\) | 0.751109 | − | 12.8960i | 0.0248853 | − | 0.427265i | −0.962740 | − | 0.270430i | \(-0.912834\pi\) |
0.987625 | − | 0.156835i | \(-0.0501289\pi\) | |||||||
\(912\) | 1.40359 | + | 3.25389i | 0.0464776 | + | 0.107747i | ||||
\(913\) | 7.12046 | − | 2.59164i | 0.235653 | − | 0.0857706i | ||||
\(914\) | −5.71388 | − | 32.4050i | −0.188998 | − | 1.07186i | ||||
\(915\) | −15.9819 | + | 21.4674i | −0.528344 | + | 0.709689i | ||||
\(916\) | −0.375598 | + | 0.188633i | −0.0124101 | + | 0.00623260i | ||||
\(917\) | 7.53389 | − | 6.32168i | 0.248791 | − | 0.208760i | ||||
\(918\) | 0.776734 | + | 2.59447i | 0.0256361 | + | 0.0856304i | ||||
\(919\) | −17.2869 | −0.570241 | −0.285121 | − | 0.958492i | \(-0.592034\pi\) | ||||
−0.285121 | + | 0.958492i | \(0.592034\pi\) | |||||||
\(920\) | 7.59485 | 0.250395 | ||||||||
\(921\) | −7.37734 | − | 24.6420i | −0.243092 | − | 0.811983i | ||||
\(922\) | −22.4587 | − | 30.1673i | −0.739639 | − | 0.993508i | ||||
\(923\) | 10.4644 | − | 2.48011i | 0.344440 | − | 0.0816338i | ||||
\(924\) | −1.06131 | − | 0.698033i | −0.0349145 | − | 0.0229636i | ||||
\(925\) | 1.37938 | − | 2.38916i | 0.0453538 | − | 0.0785550i | ||||
\(926\) | −10.9030 | − | 11.5565i | −0.358294 | − | 0.379769i | ||||
\(927\) | −5.57356 | − | 0.651456i | −0.183060 | − | 0.0213966i | ||||
\(928\) | −7.19781 | + | 0.841303i | −0.236280 | + | 0.0276171i | ||||
\(929\) | −4.24078 | − | 2.12980i | −0.139136 | − | 0.0698765i | 0.377869 | − | 0.925859i | \(-0.376657\pi\) |
−0.517005 | + | 0.855982i | \(0.672953\pi\) | |||||||
\(930\) | 5.85515 | − | 4.91306i | 0.191998 | − | 0.161105i | ||||
\(931\) | −15.7253 | + | 16.6678i | −0.515374 | + | 0.546265i | ||||
\(932\) | −3.08122 | − | 10.2920i | −0.100929 | − | 0.337125i | ||||
\(933\) | 2.51186 | − | 2.66241i | 0.0822345 | − | 0.0871635i | ||||
\(934\) | −16.1036 | − | 21.6308i | −0.526925 | − | 0.707782i | ||||
\(935\) | −13.7540 | − | 6.90750i | −0.449802 | − | 0.225899i | ||||
\(936\) | 0.699575 | − | 1.62180i | 0.0228663 | − | 0.0530101i | ||||
\(937\) | −2.56724 | + | 44.0777i | −0.0838680 | + | 1.43996i | 0.649622 | + | 0.760257i | \(0.274927\pi\) |
−0.733490 | + | 0.679700i | \(0.762110\pi\) | |||||||
\(938\) | 0.863202 | + | 1.49511i | 0.0281846 | + | 0.0488171i | ||||
\(939\) | 1.06894 | − | 3.57049i | 0.0348834 | − | 0.116519i | ||||
\(940\) | −4.34696 | − | 7.52915i | −0.141782 | − | 0.245574i | ||||
\(941\) | 9.78333 | + | 55.4840i | 0.318927 | + | 1.80873i | 0.549300 | + | 0.835625i | \(0.314894\pi\) |
−0.230373 | + | 0.973102i | \(0.573995\pi\) | |||||||
\(942\) | 13.2904 | + | 4.83731i | 0.433024 | + | 0.157608i | ||||
\(943\) | −12.2715 | − | 8.07107i | −0.399614 | − | 0.262830i | ||||
\(944\) | 5.12301 | − | 0.598794i | 0.166740 | − | 0.0194891i | ||||
\(945\) | 0.945546 | − | 2.19202i | 0.0307586 | − | 0.0713065i | ||||
\(946\) | −4.35011 | + | 5.84321i | −0.141434 | + | 0.189979i | ||||
\(947\) | 52.3478 | + | 19.0531i | 1.70108 | + | 0.619141i | 0.995947 | − | 0.0899386i | \(-0.0286671\pi\) |
0.705129 | + | 0.709080i | \(0.250889\pi\) | |||||||
\(948\) | 1.91813 | − | 3.32230i | 0.0622981 | − | 0.107903i | ||||
\(949\) | −6.25579 | − | 6.63075i | −0.203071 | − | 0.215243i | ||||
\(950\) | 3.49535 | − | 19.8231i | 0.113404 | − | 0.643148i | ||||
\(951\) | −2.64494 | − | 15.0002i | −0.0857680 | − | 0.486414i | ||||
\(952\) | −0.115030 | + | 1.97498i | −0.00372813 | + | 0.0640096i | ||||
\(953\) | −31.1842 | − | 26.1667i | −1.01016 | − | 0.847621i | −0.0217970 | − | 0.999762i | \(-0.506939\pi\) |
−0.988359 | + | 0.152141i | \(0.951383\pi\) | |||||||
\(954\) | −9.72870 | − | 1.13712i | −0.314978 | − | 0.0368157i | ||||
\(955\) | −9.33085 | + | 16.1615i | −0.301939 | + | 0.522974i | ||||
\(956\) | 5.04177 | − | 28.5933i | 0.163062 | − | 0.924773i | ||||
\(957\) | 11.8420 | − | 4.31012i | 0.382796 | − | 0.139326i | ||||
\(958\) | 5.77387 | − | 19.2861i | 0.186545 | − | 0.623105i | ||||
\(959\) | 2.86142 | − | 9.55780i | 0.0924000 | − | 0.308638i | ||||
\(960\) | 1.29441 | + | 3.00078i | 0.0417769 | + | 0.0968498i | ||||
\(961\) | −19.5571 | − | 16.4103i | −0.630874 | − | 0.529366i | ||||
\(962\) | 0.852033 | − | 0.0995884i | 0.0274706 | − | 0.00321086i | ||||
\(963\) | −10.6405 | + | 2.52185i | −0.342886 | + | 0.0812654i | ||||
\(964\) | 6.98472 | − | 4.59392i | 0.224963 | − | 0.147960i | ||||
\(965\) | −36.0082 | + | 30.2145i | −1.15914 | + | 0.972638i | ||||
\(966\) | 1.01375 | + | 1.36170i | 0.0326168 | + | 0.0438120i | ||||
\(967\) | 14.8838 | − | 9.78924i | 0.478632 | − | 0.314801i | −0.287168 | − | 0.957880i | \(-0.592714\pi\) |
0.765800 | + | 0.643079i | \(0.222343\pi\) | |||||||
\(968\) | 7.12762 | − | 3.57962i | 0.229090 | − | 0.115053i | ||||
\(969\) | −3.80128 | + | 8.81235i | −0.122115 | + | 0.283094i | ||||
\(970\) | 27.3699 | + | 22.9661i | 0.878794 | + | 0.737395i | ||||
\(971\) | 11.8727 | + | 2.81389i | 0.381014 | + | 0.0903019i | 0.416660 | − | 0.909063i | \(-0.363201\pi\) |
−0.0356459 | + | 0.999364i | \(0.511349\pi\) | |||||||
\(972\) | −0.173648 | + | 0.984808i | −0.00556977 | + | 0.0315877i | ||||
\(973\) | 4.34278 | + | 1.58064i | 0.139223 | + | 0.0506731i | ||||
\(974\) | 1.03357 | + | 17.7457i | 0.0331177 | + | 0.568609i | ||||
\(975\) | −8.38212 | + | 5.51301i | −0.268443 | + | 0.176558i | ||||
\(976\) | 5.61986 | − | 5.95670i | 0.179887 | − | 0.190669i | ||||
\(977\) | 41.2249 | 1.31890 | 0.659451 | − | 0.751748i | \(-0.270789\pi\) | ||||
0.659451 | + | 0.751748i | \(0.270789\pi\) | |||||||
\(978\) | 10.8346 | − | 6.75370i | 0.346451 | − | 0.215960i | ||||
\(979\) | −20.7812 | −0.664171 | ||||||||
\(980\) | −14.5020 | + | 15.3712i | −0.463250 | + | 0.491016i | ||||
\(981\) | −1.28343 | + | 0.844126i | −0.0409768 | + | 0.0269509i | ||||
\(982\) | −1.15240 | − | 19.7859i | −0.0367744 | − | 0.631393i | ||||
\(983\) | −6.54611 | − | 2.38259i | −0.208788 | − | 0.0759928i | 0.235509 | − | 0.971872i | \(-0.424324\pi\) |
−0.444297 | + | 0.895879i | \(0.646547\pi\) | |||||||
\(984\) | 1.09748 | − | 6.22411i | 0.0349864 | − | 0.198417i | ||||
\(985\) | 9.41797 | + | 2.23210i | 0.300081 | + | 0.0711206i | ||||
\(986\) | −15.0345 | − | 12.6154i | −0.478796 | − | 0.401758i | ||||
\(987\) | 0.769696 | − | 1.78436i | 0.0244997 | − | 0.0567967i | ||||
\(988\) | 5.59331 | − | 2.80907i | 0.177947 | − | 0.0893683i | ||||
\(989\) | 8.13374 | − | 5.34964i | 0.258638 | − | 0.170109i | ||||
\(990\) | −3.39367 | − | 4.55849i | −0.107858 | − | 0.144878i | ||||
\(991\) | −9.15796 | + | 7.68444i | −0.290912 | + | 0.244104i | −0.776550 | − | 0.630056i | \(-0.783032\pi\) |
0.485638 | + | 0.874160i | \(0.338588\pi\) | |||||||
\(992\) | −1.95405 | + | 1.28520i | −0.0620411 | + | 0.0408050i | ||||
\(993\) | −17.9923 | + | 4.26426i | −0.570969 | + | 0.135322i | ||||
\(994\) | −4.41768 | + | 0.516353i | −0.140120 | + | 0.0163777i | ||||
\(995\) | 28.5410 | + | 23.9488i | 0.904812 | + | 0.759227i | ||||
\(996\) | −1.72589 | − | 4.00107i | −0.0546871 | − | 0.126779i | ||||
\(997\) | −10.0686 | + | 33.6313i | −0.318874 | + | 1.06511i | 0.636883 | + | 0.770960i | \(0.280223\pi\) |
−0.955758 | + | 0.294155i | \(0.904962\pi\) | |||||||
\(998\) | 7.32345 | − | 24.4620i | 0.231820 | − | 0.774332i | ||||
\(999\) | −0.456391 | + | 0.166113i | −0.0144396 | + | 0.00525558i |
(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 | 978.2.m.d.403.7 | yes | 126 | |
163.36 | even | 27 | inner | 978.2.m.d.199.7 | ✓ | 126 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
978.2.m.d.199.7 | ✓ | 126 | 163.36 | even | 27 | inner | |
978.2.m.d.403.7 | yes | 126 | 1.1 | even | 1 | trivial |