Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(20,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([7, 39]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.20");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.bh (of order \(42\), degree \(12\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 20.18 | ||
Character | \(\chi\) | \(=\) | 441.20 |
Dual form | 441.2.bh.a.419.18 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{13}{14}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.620172 | − | 0.909626i | −0.438528 | − | 0.643203i | 0.541816 | − | 0.840497i | \(-0.317737\pi\) |
−0.980344 | + | 0.197294i | \(0.936785\pi\) | |||||||
\(3\) | −0.824177 | + | 1.52340i | −0.475839 | + | 0.879533i | ||||
\(4\) | 0.287877 | − | 0.733498i | 0.143938 | − | 0.366749i | ||||
\(5\) | −0.377097 | + | 0.349895i | −0.168643 | + | 0.156478i | −0.759979 | − | 0.649947i | \(-0.774791\pi\) |
0.591336 | + | 0.806425i | \(0.298601\pi\) | |||||||
\(6\) | 1.89685 | − | 0.195075i | 0.774386 | − | 0.0796390i | ||||
\(7\) | 2.54802 | − | 0.712459i | 0.963061 | − | 0.269284i | ||||
\(8\) | −2.99238 | + | 0.682992i | −1.05797 | + | 0.241474i | ||||
\(9\) | −1.64146 | − | 2.51109i | −0.547155 | − | 0.837031i | ||||
\(10\) | 0.552139 | + | 0.126022i | 0.174602 | + | 0.0398517i | ||||
\(11\) | 1.39129 | + | 2.04065i | 0.419491 | + | 0.615280i | 0.976575 | − | 0.215176i | \(-0.0690324\pi\) |
−0.557084 | + | 0.830456i | \(0.688080\pi\) | |||||||
\(12\) | 0.880146 | + | 1.04308i | 0.254076 | + | 0.301112i | ||||
\(13\) | 1.99385 | − | 0.149418i | 0.552993 | − | 0.0414411i | 0.204697 | − | 0.978825i | \(-0.434379\pi\) |
0.348297 | + | 0.937384i | \(0.386760\pi\) | |||||||
\(14\) | −2.22828 | − | 1.87590i | −0.595534 | − | 0.501354i | ||||
\(15\) | −0.222233 | − | 0.862843i | −0.0573804 | − | 0.222785i | ||||
\(16\) | 1.32182 | + | 1.22647i | 0.330455 | + | 0.306617i | ||||
\(17\) | 1.19901 | − | 1.50351i | 0.290803 | − | 0.364656i | −0.614873 | − | 0.788626i | \(-0.710793\pi\) |
0.905676 | + | 0.423971i | \(0.139364\pi\) | |||||||
\(18\) | −1.26616 | + | 3.05043i | −0.298438 | + | 0.718993i | ||||
\(19\) | − | 5.45824i | − | 1.25221i | −0.779740 | − | 0.626103i | \(-0.784649\pi\) | ||
0.779740 | − | 0.626103i | \(-0.215351\pi\) | |||||||
\(20\) | 0.148090 | + | 0.377326i | 0.0331139 | + | 0.0843728i | ||||
\(21\) | −1.01466 | + | 4.46883i | −0.221417 | + | 0.975179i | ||||
\(22\) | 0.993389 | − | 2.53111i | 0.211791 | − | 0.539635i | ||||
\(23\) | 2.14508 | + | 0.841883i | 0.447281 | + | 0.175545i | 0.578281 | − | 0.815838i | \(-0.303724\pi\) |
−0.131000 | + | 0.991382i | \(0.541819\pi\) | |||||||
\(24\) | 1.42579 | − | 5.12149i | 0.291038 | − | 1.04542i | ||||
\(25\) | −0.353875 | + | 4.72213i | −0.0707749 | + | 0.944426i | ||||
\(26\) | −1.37244 | − | 1.72099i | −0.269158 | − | 0.337514i | ||||
\(27\) | 5.17825 | − | 0.431013i | 0.996554 | − | 0.0829485i | ||||
\(28\) | 0.210928 | − | 2.07407i | 0.0398616 | − | 0.391962i | ||||
\(29\) | 4.11180 | − | 1.61376i | 0.763543 | − | 0.299669i | 0.0485692 | − | 0.998820i | \(-0.484534\pi\) |
0.714974 | + | 0.699151i | \(0.246439\pi\) | |||||||
\(30\) | −0.647041 | + | 0.737261i | −0.118133 | + | 0.134605i | ||||
\(31\) | 8.96319 | − | 5.17490i | 1.60984 | − | 0.929440i | 0.620432 | − | 0.784260i | \(-0.286957\pi\) |
0.989405 | − | 0.145179i | \(-0.0463760\pi\) | |||||||
\(32\) | −0.619050 | + | 4.10713i | −0.109434 | + | 0.726045i | ||||
\(33\) | −4.25539 | + | 0.437631i | −0.740769 | + | 0.0761817i | ||||
\(34\) | −2.11123 | − | 0.158215i | −0.362073 | − | 0.0271336i | ||||
\(35\) | −0.711564 | + | 1.16021i | −0.120276 | + | 0.196110i | ||||
\(36\) | −2.31442 | + | 0.481125i | −0.385737 | + | 0.0801876i | ||||
\(37\) | 0.844667 | − | 1.05918i | 0.138862 | − | 0.174128i | −0.707537 | − | 0.706676i | \(-0.750194\pi\) |
0.846400 | + | 0.532548i | \(0.178765\pi\) | |||||||
\(38\) | −4.96496 | + | 3.38505i | −0.805422 | + | 0.549128i | ||||
\(39\) | −1.41566 | + | 3.16056i | −0.226687 | + | 0.506095i | ||||
\(40\) | 0.889444 | − | 1.30457i | 0.140633 | − | 0.206271i | ||||
\(41\) | 8.53797 | − | 7.92207i | 1.33341 | − | 1.23722i | 0.383937 | − | 0.923359i | \(-0.374568\pi\) |
0.949469 | − | 0.313861i | \(-0.101623\pi\) | |||||||
\(42\) | 4.69423 | − | 1.84848i | 0.724335 | − | 0.285227i | ||||
\(43\) | −3.80685 | − | 3.53224i | −0.580540 | − | 0.538662i | 0.334307 | − | 0.942464i | \(-0.391498\pi\) |
−0.914846 | + | 0.403802i | \(0.867688\pi\) | |||||||
\(44\) | 1.89734 | − | 0.433055i | 0.286034 | − | 0.0652854i | ||||
\(45\) | 1.49761 | + | 0.372586i | 0.223251 | + | 0.0555418i | ||||
\(46\) | −0.564523 | − | 2.47334i | −0.0832344 | − | 0.364674i | ||||
\(47\) | 4.49283 | − | 3.06316i | 0.655347 | − | 0.446808i | −0.189453 | − | 0.981890i | \(-0.560672\pi\) |
0.844800 | + | 0.535082i | \(0.179719\pi\) | |||||||
\(48\) | −2.95781 | + | 1.00283i | −0.426923 | + | 0.144745i | ||||
\(49\) | 5.98480 | − | 3.63072i | 0.854972 | − | 0.518674i | ||||
\(50\) | 4.51483 | − | 2.60664i | 0.638494 | − | 0.368635i | ||||
\(51\) | 1.30225 | + | 3.06573i | 0.182351 | + | 0.429288i | ||||
\(52\) | 0.464384 | − | 1.50550i | 0.0643985 | − | 0.208775i | ||||
\(53\) | −6.63346 | + | 5.29001i | −0.911176 | + | 0.726639i | −0.962282 | − | 0.272055i | \(-0.912297\pi\) |
0.0511057 | + | 0.998693i | \(0.483725\pi\) | |||||||
\(54\) | −3.60347 | − | 4.44296i | −0.490370 | − | 0.604611i | ||||
\(55\) | −1.23867 | − | 0.282718i | −0.167022 | − | 0.0381216i | ||||
\(56\) | −7.13805 | + | 3.87223i | −0.953862 | + | 0.517448i | ||||
\(57\) | 8.31506 | + | 4.49856i | 1.10136 | + | 0.595848i | ||||
\(58\) | −4.01795 | − | 2.73939i | −0.527583 | − | 0.359700i | ||||
\(59\) | −10.3394 | + | 3.18929i | −1.34608 | + | 0.415210i | −0.882278 | − | 0.470729i | \(-0.843991\pi\) |
−0.463801 | + | 0.885939i | \(0.653515\pi\) | |||||||
\(60\) | −0.696869 | − | 0.0853846i | −0.0899654 | − | 0.0110231i | ||||
\(61\) | −6.34056 | + | 2.48849i | −0.811825 | + | 0.318618i | −0.734690 | − | 0.678403i | \(-0.762673\pi\) |
−0.0771351 | + | 0.997021i | \(0.524577\pi\) | |||||||
\(62\) | −10.2659 | − | 4.94382i | −1.30378 | − | 0.627866i | ||||
\(63\) | −5.97154 | − | 5.22884i | −0.752343 | − | 0.658772i | ||||
\(64\) | 7.36908 | − | 3.54876i | 0.921134 | − | 0.443595i | ||||
\(65\) | −0.699593 | + | 0.753982i | −0.0867738 | + | 0.0935199i | ||||
\(66\) | 3.03716 | + | 3.59941i | 0.373848 | + | 0.443057i | ||||
\(67\) | −0.435229 | − | 0.753840i | −0.0531717 | − | 0.0920962i | 0.838214 | − | 0.545341i | \(-0.183600\pi\) |
−0.891386 | + | 0.453245i | \(0.850266\pi\) | |||||||
\(68\) | −0.757657 | − | 1.31230i | −0.0918794 | − | 0.159140i | ||||
\(69\) | −3.05045 | + | 2.57395i | −0.367231 | + | 0.309867i | ||||
\(70\) | 1.49665 | − | 0.0722698i | 0.178883 | − | 0.00863789i | ||||
\(71\) | −8.48122 | + | 6.76354i | −1.00654 | + | 0.802685i | −0.980409 | − | 0.196974i | \(-0.936889\pi\) |
−0.0261265 | + | 0.999659i | \(0.508317\pi\) | |||||||
\(72\) | 6.62695 | + | 6.39305i | 0.780994 | + | 0.753428i | ||||
\(73\) | 6.35176 | + | 13.1896i | 0.743417 | + | 1.54372i | 0.836441 | + | 0.548057i | \(0.184632\pi\) |
−0.0930243 | + | 0.995664i | \(0.529653\pi\) | |||||||
\(74\) | −1.48730 | − | 0.111457i | −0.172895 | − | 0.0129567i | ||||
\(75\) | −6.90201 | − | 4.43096i | −0.796976 | − | 0.511643i | ||||
\(76\) | −4.00361 | − | 1.57130i | −0.459245 | − | 0.180241i | ||||
\(77\) | 4.99893 | + | 4.20838i | 0.569680 | + | 0.479590i | ||||
\(78\) | 3.75288 | − | 0.672373i | 0.424930 | − | 0.0761313i | ||||
\(79\) | −2.39384 | + | 4.14625i | −0.269328 | + | 0.466489i | −0.968688 | − | 0.248280i | \(-0.920135\pi\) |
0.699361 | + | 0.714769i | \(0.253468\pi\) | |||||||
\(80\) | −0.927590 | −0.103708 | ||||||||
\(81\) | −3.61119 | + | 8.24374i | −0.401243 | + | 0.915972i | ||||
\(82\) | −12.5011 | − | 2.85330i | −1.38052 | − | 0.315095i | ||||
\(83\) | 0.833437 | − | 11.1214i | 0.0914816 | − | 1.22074i | −0.742844 | − | 0.669465i | \(-0.766523\pi\) |
0.834325 | − | 0.551272i | \(-0.185858\pi\) | |||||||
\(84\) | 2.98578 | + | 2.03072i | 0.325775 | + | 0.221570i | ||||
\(85\) | 0.0739279 | + | 0.986499i | 0.00801861 | + | 0.107001i | ||||
\(86\) | −0.852115 | + | 5.65341i | −0.0918859 | + | 0.609623i | ||||
\(87\) | −0.930454 | + | 7.59393i | −0.0997551 | + | 0.814155i | ||||
\(88\) | −5.55704 | − | 5.15618i | −0.592382 | − | 0.549650i | ||||
\(89\) | −6.17326 | + | 2.97289i | −0.654365 | + | 0.315125i | −0.731446 | − | 0.681899i | \(-0.761154\pi\) |
0.0770813 | + | 0.997025i | \(0.475440\pi\) | |||||||
\(90\) | −0.589863 | − | 1.59333i | −0.0621770 | − | 0.167952i | ||||
\(91\) | 4.97390 | − | 1.80125i | 0.521407 | − | 0.188823i | ||||
\(92\) | 1.23504 | − | 1.33106i | 0.128762 | − | 0.138772i | ||||
\(93\) | 0.496163 | + | 17.9195i | 0.0514497 | + | 1.85817i | ||||
\(94\) | −5.57266 | − | 2.18711i | −0.574776 | − | 0.225583i | ||||
\(95\) | 1.90981 | + | 2.05829i | 0.195942 | + | 0.211176i | ||||
\(96\) | −5.74657 | − | 4.32806i | −0.586507 | − | 0.441731i | ||||
\(97\) | 6.42800 | + | 3.71121i | 0.652664 | + | 0.376816i | 0.789476 | − | 0.613781i | \(-0.210352\pi\) |
−0.136812 | + | 0.990597i | \(0.543686\pi\) | |||||||
\(98\) | −7.01421 | − | 3.19226i | −0.708542 | − | 0.322467i | ||||
\(99\) | 2.84051 | − | 6.84333i | 0.285482 | − | 0.687781i | ||||
\(100\) | 3.36180 | + | 1.61896i | 0.336180 | + | 0.161896i | ||||
\(101\) | 0.802210 | + | 0.247449i | 0.0798229 | + | 0.0246221i | 0.334409 | − | 0.942428i | \(-0.391463\pi\) |
−0.254587 | + | 0.967050i | \(0.581939\pi\) | |||||||
\(102\) | 1.98105 | − | 3.08584i | 0.196153 | − | 0.305544i | ||||
\(103\) | 8.72986 | + | 9.40856i | 0.860179 | + | 0.927053i | 0.997988 | − | 0.0634064i | \(-0.0201964\pi\) |
−0.137809 | + | 0.990459i | \(0.544006\pi\) | |||||||
\(104\) | −5.86430 | + | 1.80890i | −0.575042 | + | 0.177377i | ||||
\(105\) | −1.18100 | − | 2.04021i | −0.115253 | − | 0.199104i | ||||
\(106\) | 8.92582 | + | 2.75325i | 0.866952 | + | 0.267419i | ||||
\(107\) | −2.15307 | − | 4.47090i | −0.208145 | − | 0.432218i | 0.770594 | − | 0.637326i | \(-0.219960\pi\) |
−0.978739 | + | 0.205108i | \(0.934245\pi\) | |||||||
\(108\) | 1.17455 | − | 3.92231i | 0.113021 | − | 0.377425i | ||||
\(109\) | −8.48383 | − | 4.08560i | −0.812603 | − | 0.391329i | −0.0190415 | − | 0.999819i | \(-0.506061\pi\) |
−0.793562 | + | 0.608490i | \(0.791776\pi\) | |||||||
\(110\) | 0.511020 | + | 1.30206i | 0.0487238 | + | 0.124146i | ||||
\(111\) | 0.917393 | + | 2.15971i | 0.0870751 | + | 0.204991i | ||||
\(112\) | 4.24183 | + | 2.18332i | 0.400815 | + | 0.206305i | ||||
\(113\) | 1.97426 | − | 2.89571i | 0.185723 | − | 0.272405i | −0.722074 | − | 0.691816i | \(-0.756811\pi\) |
0.907797 | + | 0.419411i | \(0.137763\pi\) | |||||||
\(114\) | −1.06477 | − | 10.3535i | −0.0997244 | − | 0.969691i | ||||
\(115\) | −1.10348 | + | 0.433082i | −0.102900 | + | 0.0403851i | ||||
\(116\) | − | 3.48057i | − | 0.323162i | ||||||
\(117\) | −3.64803 | − | 4.76147i | −0.337261 | − | 0.440198i | ||||
\(118\) | 9.31329 | + | 7.42710i | 0.857358 | + | 0.683720i | ||||
\(119\) | 1.98391 | − | 4.68523i | 0.181865 | − | 0.429494i | ||||
\(120\) | 1.25432 | + | 2.43017i | 0.114503 | + | 0.221844i | ||||
\(121\) | 1.79018 | − | 4.56132i | 0.162744 | − | 0.414665i | ||||
\(122\) | 6.19583 | + | 4.22425i | 0.560944 | + | 0.382445i | ||||
\(123\) | 5.03165 | + | 19.5359i | 0.453689 | + | 1.76149i | ||||
\(124\) | −1.21549 | − | 8.06422i | −0.109154 | − | 0.724188i | ||||
\(125\) | −3.12248 | − | 3.91547i | −0.279283 | − | 0.350210i | ||||
\(126\) | −1.05291 | + | 8.67464i | −0.0938002 | + | 0.772799i | ||||
\(127\) | −11.3261 | + | 14.2025i | −1.00503 | + | 1.26027i | −0.0397057 | + | 0.999211i | \(0.512642\pi\) |
−0.965324 | + | 0.261056i | \(0.915929\pi\) | |||||||
\(128\) | −0.604031 | − | 0.348737i | −0.0533893 | − | 0.0308243i | ||||
\(129\) | 8.51852 | − | 2.88815i | 0.750014 | − | 0.254287i | ||||
\(130\) | 1.11971 | + | 0.168769i | 0.0982050 | + | 0.0148020i | ||||
\(131\) | −13.1522 | + | 4.05691i | −1.14911 | + | 0.354453i | −0.810078 | − | 0.586322i | \(-0.800576\pi\) |
−0.339031 | + | 0.940775i | \(0.610099\pi\) | |||||||
\(132\) | −0.904027 | + | 3.24731i | −0.0786855 | + | 0.282642i | ||||
\(133\) | −3.88878 | − | 13.9077i | −0.337200 | − | 1.20595i | ||||
\(134\) | −0.415795 | + | 0.863406i | −0.0359192 | + | 0.0745870i | ||||
\(135\) | −1.80189 | + | 1.97438i | −0.155082 | + | 0.169927i | ||||
\(136\) | −2.56102 | + | 5.31801i | −0.219605 | + | 0.456015i | ||||
\(137\) | −6.29577 | + | 6.78523i | −0.537884 | + | 0.579701i | −0.942256 | − | 0.334893i | \(-0.891300\pi\) |
0.404372 | + | 0.914595i | \(0.367490\pi\) | |||||||
\(138\) | 4.23313 | + | 1.17848i | 0.360348 | + | 0.100318i | ||||
\(139\) | −3.79288 | − | 4.08775i | −0.321708 | − | 0.346719i | 0.551404 | − | 0.834238i | \(-0.314092\pi\) |
−0.873112 | + | 0.487520i | \(0.837902\pi\) | |||||||
\(140\) | 0.646165 | + | 0.855927i | 0.0546109 | + | 0.0723390i | ||||
\(141\) | 0.963516 | + | 9.36895i | 0.0811427 | + | 0.789008i | ||||
\(142\) | 11.4121 | + | 3.52017i | 0.957683 | + | 0.295406i | ||||
\(143\) | 3.07894 | + | 3.86086i | 0.257474 | + | 0.322862i | ||||
\(144\) | 0.910060 | − | 5.33242i | 0.0758383 | − | 0.444368i | ||||
\(145\) | −0.985901 | + | 2.04725i | −0.0818747 | + | 0.170014i | ||||
\(146\) | 8.05838 | − | 13.9575i | 0.666916 | − | 1.15513i | ||||
\(147\) | 0.598485 | + | 12.1096i | 0.0493622 | + | 0.998781i | ||||
\(148\) | −0.533746 | − | 0.924475i | −0.0438736 | − | 0.0759914i | ||||
\(149\) | 20.5361 | − | 1.53896i | 1.68238 | − | 0.126077i | 0.801056 | − | 0.598590i | \(-0.204272\pi\) |
0.881324 | + | 0.472513i | \(0.156653\pi\) | |||||||
\(150\) | 0.249921 | + | 9.02621i | 0.0204060 | + | 0.736987i | ||||
\(151\) | −19.0519 | + | 2.87161i | −1.55042 | + | 0.233688i | −0.867736 | − | 0.497025i | \(-0.834426\pi\) |
−0.682684 | + | 0.730713i | \(0.739188\pi\) | |||||||
\(152\) | 3.72794 | + | 16.3332i | 0.302376 | + | 1.32479i | ||||
\(153\) | −5.74360 | − | 0.542868i | −0.464343 | − | 0.0438883i | ||||
\(154\) | 0.727858 | − | 7.15707i | 0.0586525 | − | 0.576734i | ||||
\(155\) | −1.56932 | + | 5.08762i | −0.126051 | + | 0.408647i | ||||
\(156\) | 1.91073 | + | 1.94824i | 0.152981 | + | 0.155984i | ||||
\(157\) | 4.25939 | + | 13.8086i | 0.339936 | + | 1.10205i | 0.950668 | + | 0.310209i | \(0.100399\pi\) |
−0.610732 | + | 0.791837i | \(0.709125\pi\) | |||||||
\(158\) | 5.25612 | − | 0.393892i | 0.418155 | − | 0.0313364i | ||||
\(159\) | −2.59163 | − | 14.4653i | −0.205529 | − | 1.14717i | ||||
\(160\) | −1.20362 | − | 1.76539i | −0.0951547 | − | 0.139566i | ||||
\(161\) | 6.06552 | + | 0.616850i | 0.478030 | + | 0.0486146i | ||||
\(162\) | 9.73828 | − | 1.82771i | 0.765112 | − | 0.143599i | ||||
\(163\) | −0.622955 | + | 2.72934i | −0.0487936 | + | 0.213779i | −0.993447 | − | 0.114290i | \(-0.963541\pi\) |
0.944654 | + | 0.328069i | \(0.106398\pi\) | |||||||
\(164\) | −3.35294 | − | 8.54316i | −0.261821 | − | 0.667109i | ||||
\(165\) | 1.45157 | − | 1.65397i | 0.113005 | − | 0.128761i | ||||
\(166\) | −10.6332 | + | 6.13910i | −0.825299 | + | 0.476486i | ||||
\(167\) | −4.52873 | − | 0.682596i | −0.350443 | − | 0.0528208i | −0.0285381 | − | 0.999593i | \(-0.509085\pi\) |
−0.321905 | + | 0.946772i | \(0.604323\pi\) | |||||||
\(168\) | −0.0159203 | − | 14.0655i | −0.00122828 | − | 1.08517i | ||||
\(169\) | −8.90170 | + | 1.34172i | −0.684746 | + | 0.103209i | ||||
\(170\) | 0.851497 | − | 0.679046i | 0.0653068 | − | 0.0520805i | ||||
\(171\) | −13.7062 | + | 8.95951i | −1.04814 | + | 0.685151i | ||||
\(172\) | −3.68680 | + | 1.77547i | −0.281116 | + | 0.135378i | ||||
\(173\) | 6.13250 | − | 0.924326i | 0.466246 | − | 0.0702752i | 0.0882817 | − | 0.996096i | \(-0.471862\pi\) |
0.377964 | + | 0.925820i | \(0.376624\pi\) | |||||||
\(174\) | 7.48468 | − | 3.86318i | 0.567412 | − | 0.292867i | ||||
\(175\) | 2.46265 | + | 12.2842i | 0.186159 | + | 0.928598i | ||||
\(176\) | −0.663759 | + | 4.40376i | −0.0500327 | + | 0.331946i | ||||
\(177\) | 3.66297 | − | 18.3796i | 0.275326 | − | 1.38149i | ||||
\(178\) | 6.53270 | + | 3.77166i | 0.489647 | + | 0.282698i | ||||
\(179\) | −2.61336 | − | 2.08408i | −0.195331 | − | 0.155772i | 0.520940 | − | 0.853593i | \(-0.325581\pi\) |
−0.716272 | + | 0.697822i | \(0.754153\pi\) | |||||||
\(180\) | 0.704418 | − | 0.991235i | 0.0525042 | − | 0.0738823i | ||||
\(181\) | −2.58406 | − | 5.36586i | −0.192072 | − | 0.398841i | 0.782586 | − | 0.622543i | \(-0.213900\pi\) |
−0.974658 | + | 0.223701i | \(0.928186\pi\) | |||||||
\(182\) | −4.72315 | − | 3.40730i | −0.350103 | − | 0.252566i | ||||
\(183\) | 1.43480 | − | 11.7101i | 0.106063 | − | 0.865638i | ||||
\(184\) | −6.99391 | − | 1.05416i | −0.515598 | − | 0.0777139i | ||||
\(185\) | 0.0520799 | + | 0.694958i | 0.00382899 | + | 0.0510943i | ||||
\(186\) | 15.9924 | − | 11.5645i | 1.17262 | − | 0.847951i | ||||
\(187\) | 4.73633 | + | 0.354939i | 0.346355 | + | 0.0259557i | ||||
\(188\) | −0.953441 | − | 4.17730i | −0.0695368 | − | 0.304661i | ||||
\(189\) | 12.8872 | − | 4.78752i | 0.937405 | − | 0.348241i | ||||
\(190\) | 0.687859 | − | 3.01371i | 0.0499025 | − | 0.218637i | ||||
\(191\) | 7.81441 | − | 25.3337i | 0.565431 | − | 1.83308i | 0.0123981 | − | 0.999923i | \(-0.496053\pi\) |
0.553033 | − | 0.833159i | \(-0.313470\pi\) | |||||||
\(192\) | −0.667259 | + | 14.1508i | −0.0481553 | + | 1.02125i | ||||
\(193\) | 2.89557 | − | 2.68669i | 0.208427 | − | 0.193392i | −0.569051 | − | 0.822302i | \(-0.692689\pi\) |
0.777478 | + | 0.628910i | \(0.216499\pi\) | |||||||
\(194\) | −0.610658 | − | 8.14866i | −0.0438427 | − | 0.585040i | ||||
\(195\) | −0.572024 | − | 1.68717i | −0.0409635 | − | 0.120821i | ||||
\(196\) | −0.940240 | − | 5.43504i | −0.0671600 | − | 0.388217i | ||||
\(197\) | − | 10.2083i | − | 0.727311i | −0.931534 | − | 0.363655i | \(-0.881529\pi\) | ||
0.931534 | − | 0.363655i | \(-0.118471\pi\) | |||||||
\(198\) | −7.98648 | + | 1.66024i | −0.567574 | + | 0.117988i | ||||
\(199\) | 8.34567 | − | 1.90484i | 0.591609 | − | 0.135031i | 0.0837733 | − | 0.996485i | \(-0.473303\pi\) |
0.507836 | + | 0.861454i | \(0.330446\pi\) | |||||||
\(200\) | −2.16625 | − | 14.3721i | −0.153177 | − | 1.01626i | ||||
\(201\) | 1.50710 | − | 0.0417292i | 0.106303 | − | 0.00294335i | ||||
\(202\) | −0.272423 | − | 0.883172i | −0.0191676 | − | 0.0621398i | ||||
\(203\) | 9.32722 | − | 7.04140i | 0.654642 | − | 0.494209i | ||||
\(204\) | 2.62359 | − | 0.0726431i | 0.183688 | − | 0.00508603i | ||||
\(205\) | −0.447748 | + | 5.97478i | −0.0312721 | + | 0.417297i | ||||
\(206\) | 3.14424 | − | 13.7758i | 0.219070 | − | 0.959808i | ||||
\(207\) | −1.40703 | − | 6.76843i | −0.0977954 | − | 0.470438i | ||||
\(208\) | 2.81876 | + | 2.24789i | 0.195446 | + | 0.155863i | ||||
\(209\) | 11.1384 | − | 7.59402i | 0.770458 | − | 0.525289i | ||||
\(210\) | −1.12341 | + | 2.33954i | −0.0775223 | + | 0.161444i | ||||
\(211\) | −15.7483 | − | 10.7370i | −1.08416 | − | 0.739167i | −0.116947 | − | 0.993138i | \(-0.537311\pi\) |
−0.967212 | + | 0.253972i | \(0.918263\pi\) | |||||||
\(212\) | 1.97059 | + | 6.38850i | 0.135341 | + | 0.438764i | ||||
\(213\) | −3.31353 | − | 18.4946i | −0.227039 | − | 1.26723i | ||||
\(214\) | −2.73157 | + | 4.73122i | −0.186726 | + | 0.323419i | ||||
\(215\) | 2.67147 | 0.182192 | ||||||||
\(216\) | −15.2009 | + | 4.82646i | −1.03429 | + | 0.328399i | ||||
\(217\) | 19.1515 | − | 19.5717i | 1.30009 | − | 1.32861i | ||||
\(218\) | 1.54507 | + | 10.2509i | 0.104645 | + | 0.694277i | ||||
\(219\) | −25.3279 | − | 1.19430i | −1.71150 | − | 0.0807030i | ||||
\(220\) | −0.563956 | + | 0.827172i | −0.0380219 | + | 0.0557679i | ||||
\(221\) | 2.16599 | − | 3.17693i | 0.145701 | − | 0.213703i | ||||
\(222\) | 1.39559 | − | 2.17388i | 0.0936658 | − | 0.145901i | ||||
\(223\) | 0.909144 | + | 6.03177i | 0.0608808 | + | 0.403917i | 0.998428 | + | 0.0560582i | \(0.0178532\pi\) |
−0.937547 | + | 0.347859i | \(0.886909\pi\) | |||||||
\(224\) | 1.34881 | + | 10.9061i | 0.0901213 | + | 0.728694i | ||||
\(225\) | 12.4386 | − | 6.86260i | 0.829239 | − | 0.457506i | ||||
\(226\) | −3.85839 | −0.256657 | ||||||||
\(227\) | 2.26525 | − | 3.92353i | 0.150350 | − | 0.260414i | −0.781006 | − | 0.624523i | \(-0.785293\pi\) |
0.931356 | + | 0.364110i | \(0.118627\pi\) | |||||||
\(228\) | 5.69339 | − | 4.80405i | 0.377054 | − | 0.318156i | ||||
\(229\) | 2.98200 | + | 9.66740i | 0.197056 | + | 0.638840i | 0.999134 | + | 0.0416199i | \(0.0132518\pi\) |
−0.802078 | + | 0.597220i | \(0.796272\pi\) | |||||||
\(230\) | 1.07829 | + | 0.735164i | 0.0711002 | + | 0.0484753i | ||||
\(231\) | −10.5310 | + | 4.14689i | −0.692891 | + | 0.272845i | ||||
\(232\) | −11.2019 | + | 7.63733i | −0.735442 | + | 0.501416i | ||||
\(233\) | 18.4209 | + | 14.6902i | 1.20679 | + | 0.962384i | 0.999872 | − | 0.0159742i | \(-0.00508495\pi\) |
0.206919 | + | 0.978358i | \(0.433656\pi\) | |||||||
\(234\) | −2.06875 | + | 6.27128i | −0.135238 | + | 0.409966i | ||||
\(235\) | −0.622449 | + | 2.72713i | −0.0406041 | + | 0.177898i | ||||
\(236\) | −0.637142 | + | 8.50207i | −0.0414744 | + | 0.553438i | ||||
\(237\) | −4.34343 | − | 7.06400i | −0.282136 | − | 0.458856i | ||||
\(238\) | −5.49218 | + | 1.10103i | −0.356005 | + | 0.0713693i | ||||
\(239\) | −1.30444 | − | 4.22889i | −0.0843772 | − | 0.273544i | 0.903545 | − | 0.428492i | \(-0.140955\pi\) |
−0.987923 | + | 0.154948i | \(0.950479\pi\) | |||||||
\(240\) | 0.764498 | − | 1.41309i | 0.0493481 | − | 0.0912143i | ||||
\(241\) | −2.60132 | − | 17.2586i | −0.167566 | − | 1.11173i | −0.901586 | − | 0.432600i | \(-0.857596\pi\) |
0.734020 | − | 0.679128i | \(-0.237642\pi\) | |||||||
\(242\) | −5.25931 | + | 1.20040i | −0.338081 | + | 0.0771649i | ||||
\(243\) | −9.58222 | − | 12.2956i | −0.614700 | − | 0.788761i | ||||
\(244\) | 5.36716i | 0.343597i | ||||||||
\(245\) | −0.986481 | + | 3.46319i | −0.0630239 | + | 0.221255i | ||||
\(246\) | 14.6499 | − | 16.6925i | 0.934040 | − | 1.06428i | ||||
\(247\) | −0.815560 | − | 10.8829i | −0.0518928 | − | 0.692462i | ||||
\(248\) | −23.2869 | + | 21.6071i | −1.47872 | + | 1.37205i | ||||
\(249\) | 16.2555 | + | 10.4357i | 1.03015 | + | 0.661335i | ||||
\(250\) | −1.62514 | + | 5.26856i | −0.102783 | + | 0.333213i | ||||
\(251\) | −2.22523 | + | 9.74939i | −0.140456 | + | 0.615376i | 0.854874 | + | 0.518836i | \(0.173635\pi\) |
−0.995329 | + | 0.0965396i | \(0.969223\pi\) | |||||||
\(252\) | −5.55441 | + | 2.87485i | −0.349895 | + | 0.181098i | ||||
\(253\) | 1.26645 | + | 5.54868i | 0.0796210 | + | 0.348842i | ||||
\(254\) | 19.9431 | + | 1.49453i | 1.25134 | + | 0.0937750i | ||||
\(255\) | −1.56376 | − | 0.700429i | −0.0979263 | − | 0.0438625i | ||||
\(256\) | −1.16506 | − | 15.5467i | −0.0728163 | − | 0.971666i | ||||
\(257\) | 10.3768 | + | 1.56405i | 0.647288 | + | 0.0975629i | 0.464477 | − | 0.885585i | \(-0.346242\pi\) |
0.182811 | + | 0.983148i | \(0.441480\pi\) | |||||||
\(258\) | −7.91008 | − | 5.95752i | −0.492460 | − | 0.370899i | ||||
\(259\) | 1.39761 | − | 3.30060i | 0.0868430 | − | 0.205089i | ||||
\(260\) | 0.351648 | + | 0.730204i | 0.0218083 | + | 0.0452853i | ||||
\(261\) | −10.8017 | − | 7.67619i | −0.668608 | − | 0.475144i | ||||
\(262\) | 11.8469 | + | 9.44757i | 0.731902 | + | 0.583673i | ||||
\(263\) | −8.32206 | − | 4.80474i | −0.513160 | − | 0.296273i | 0.220972 | − | 0.975280i | \(-0.429077\pi\) |
−0.734132 | + | 0.679007i | \(0.762411\pi\) | |||||||
\(264\) | 12.4349 | − | 4.21596i | 0.765314 | − | 0.259474i | ||||
\(265\) | 0.650511 | − | 4.31586i | 0.0399606 | − | 0.265121i | ||||
\(266\) | −10.2391 | + | 12.1625i | −0.627799 | + | 0.745731i | ||||
\(267\) | 0.558980 | − | 11.8545i | 0.0342090 | − | 0.725484i | ||||
\(268\) | −0.678232 | + | 0.102227i | −0.0414296 | + | 0.00624451i | ||||
\(269\) | −10.2590 | + | 4.94049i | −0.625504 | + | 0.301227i | −0.719656 | − | 0.694331i | \(-0.755700\pi\) |
0.0941515 | + | 0.995558i | \(0.469986\pi\) | |||||||
\(270\) | 2.91343 | + | 0.414594i | 0.177305 | + | 0.0252314i | ||||
\(271\) | −4.42615 | + | 3.52974i | −0.268869 | + | 0.214416i | −0.748638 | − | 0.662979i | \(-0.769292\pi\) |
0.479769 | + | 0.877395i | \(0.340721\pi\) | |||||||
\(272\) | 3.42889 | − | 0.516822i | 0.207907 | − | 0.0313370i | ||||
\(273\) | −1.35535 | + | 9.06177i | −0.0820298 | + | 0.548443i | ||||
\(274\) | 10.0765 | + | 1.51879i | 0.608743 | + | 0.0917532i | ||||
\(275\) | −10.1286 | + | 5.84773i | −0.610776 | + | 0.352632i | ||||
\(276\) | 1.00983 | + | 2.97848i | 0.0607848 | + | 0.179283i | ||||
\(277\) | 0.216230 | + | 0.550945i | 0.0129920 | + | 0.0331031i | 0.937223 | − | 0.348732i | \(-0.113388\pi\) |
−0.924231 | + | 0.381835i | \(0.875292\pi\) | |||||||
\(278\) | −1.36609 | + | 5.98521i | −0.0819324 | + | 0.358969i | ||||
\(279\) | −27.7074 | − | 14.0130i | −1.65880 | − | 0.838937i | ||||
\(280\) | 1.33686 | − | 3.95777i | 0.0798929 | − | 0.236522i | ||||
\(281\) | 4.72349 | + | 6.92809i | 0.281780 | + | 0.413295i | 0.940869 | − | 0.338769i | \(-0.110011\pi\) |
−0.659090 | + | 0.752064i | \(0.729058\pi\) | |||||||
\(282\) | 7.92469 | − | 6.68680i | 0.471908 | − | 0.398193i | ||||
\(283\) | −8.59719 | + | 0.644270i | −0.511050 | + | 0.0382979i | −0.327760 | − | 0.944761i | \(-0.606294\pi\) |
−0.183290 | + | 0.983059i | \(0.558675\pi\) | |||||||
\(284\) | 2.51950 | + | 8.16802i | 0.149505 | + | 0.484683i | ||||
\(285\) | −4.70961 | + | 1.21300i | −0.278973 | + | 0.0718522i | ||||
\(286\) | 1.60247 | − | 5.19508i | 0.0947561 | − | 0.307192i | ||||
\(287\) | 16.1107 | − | 26.2686i | 0.950987 | − | 1.55058i | ||||
\(288\) | 11.3295 | − | 5.18722i | 0.667599 | − | 0.305660i | ||||
\(289\) | 2.95993 | + | 12.9683i | 0.174114 | + | 0.762842i | ||||
\(290\) | 2.47366 | − | 0.372844i | 0.145258 | − | 0.0218941i | ||||
\(291\) | −10.9514 | + | 6.73369i | −0.641985 | + | 0.394736i | ||||
\(292\) | 11.5030 | − | 0.862033i | 0.673164 | − | 0.0504467i | ||||
\(293\) | −1.70181 | − | 2.94763i | −0.0994211 | − | 0.172202i | 0.812024 | − | 0.583624i | \(-0.198366\pi\) |
−0.911445 | + | 0.411422i | \(0.865032\pi\) | |||||||
\(294\) | 10.6440 | − | 8.05442i | 0.620772 | − | 0.469743i | ||||
\(295\) | 2.78305 | − | 4.82039i | 0.162036 | − | 0.280654i | ||||
\(296\) | −1.80416 | + | 3.74637i | −0.104865 | + | 0.217754i | ||||
\(297\) | 8.08401 | + | 9.96734i | 0.469082 | + | 0.578364i | ||||
\(298\) | −14.1358 | − | 17.7257i | −0.818864 | − | 1.02682i | ||||
\(299\) | 4.40276 | + | 1.35807i | 0.254618 | + | 0.0785393i | ||||
\(300\) | −5.23703 | + | 3.78704i | −0.302360 | + | 0.218645i | ||||
\(301\) | −12.2165 | − | 6.28799i | −0.704148 | − | 0.362434i | ||||
\(302\) | 14.4275 | + | 15.5492i | 0.830212 | + | 0.894756i | ||||
\(303\) | −1.03813 | + | 1.01814i | −0.0596388 | + | 0.0584907i | ||||
\(304\) | 6.69437 | − | 7.21481i | 0.383948 | − | 0.413798i | ||||
\(305\) | 1.52030 | − | 3.15693i | 0.0870520 | − | 0.180765i | ||||
\(306\) | 3.06822 | + | 5.56120i | 0.175398 | + | 0.317913i | ||||
\(307\) | −7.61873 | + | 15.8205i | −0.434824 | + | 0.902921i | 0.562285 | + | 0.826943i | \(0.309922\pi\) |
−0.997109 | + | 0.0759781i | \(0.975792\pi\) | |||||||
\(308\) | 4.52591 | − | 2.45521i | 0.257888 | − | 0.139898i | ||||
\(309\) | −21.5279 | + | 5.54472i | −1.22468 | + | 0.315428i | ||||
\(310\) | 5.60108 | − | 1.72770i | 0.318120 | − | 0.0981270i | ||||
\(311\) | −2.74404 | − | 0.413598i | −0.155601 | − | 0.0234530i | 0.0707800 | − | 0.997492i | \(-0.477451\pi\) |
−0.226380 | + | 0.974039i | \(0.572689\pi\) | |||||||
\(312\) | 2.07756 | − | 10.4245i | 0.117619 | − | 0.590171i | ||||
\(313\) | 28.5701 | + | 16.4949i | 1.61488 | + | 0.932349i | 0.988218 | + | 0.153055i | \(0.0489111\pi\) |
0.626658 | + | 0.779294i | \(0.284422\pi\) | |||||||
\(314\) | 9.91911 | − | 12.4382i | 0.559767 | − | 0.701926i | ||||
\(315\) | 4.08139 | − | 0.117630i | 0.229960 | − | 0.00662773i | ||||
\(316\) | 2.35213 | + | 2.94948i | 0.132318 | + | 0.165921i | ||||
\(317\) | 2.11470 | + | 14.0301i | 0.118774 | + | 0.788011i | 0.966330 | + | 0.257306i | \(0.0828348\pi\) |
−0.847556 | + | 0.530705i | \(0.821927\pi\) | |||||||
\(318\) | −11.5507 | + | 11.3284i | −0.647733 | + | 0.635264i | ||||
\(319\) | 9.01386 | + | 6.14555i | 0.504679 | + | 0.344085i | ||||
\(320\) | −1.53716 | + | 3.91663i | −0.0859301 | + | 0.218946i | ||||
\(321\) | 8.58546 | + | 0.404834i | 0.479193 | + | 0.0225956i | ||||
\(322\) | −3.20057 | − | 5.89991i | −0.178361 | − | 0.328789i | ||||
\(323\) | −8.20654 | − | 6.54450i | −0.456624 | − | 0.364146i | ||||
\(324\) | 5.00719 | + | 5.02198i | 0.278177 | + | 0.278999i | ||||
\(325\) | 9.46808i | 0.525194i | ||||||||
\(326\) | 2.86902 | − | 1.12601i | 0.158900 | − | 0.0623638i | ||||
\(327\) | 13.2162 | − | 9.55697i | 0.730855 | − | 0.528501i | ||||
\(328\) | −20.1382 | + | 29.5373i | −1.11194 | + | 1.63092i | ||||
\(329\) | 9.26545 | − | 11.0060i | 0.510821 | − | 0.606778i | ||||
\(330\) | −2.40472 | − | 0.294640i | −0.132375 | − | 0.0162194i | ||||
\(331\) | 6.55384 | + | 16.6989i | 0.360231 | + | 0.917855i | 0.989999 | + | 0.141071i | \(0.0450547\pi\) |
−0.629768 | + | 0.776783i | \(0.716850\pi\) | |||||||
\(332\) | −7.91763 | − | 3.81293i | −0.434536 | − | 0.209262i | ||||
\(333\) | −4.04619 | − | 0.382434i | −0.221730 | − | 0.0209572i | ||||
\(334\) | 2.18768 | + | 4.54277i | 0.119705 | + | 0.248570i | ||||
\(335\) | 0.427888 | + | 0.131986i | 0.0233780 | + | 0.00721117i | ||||
\(336\) | −6.82209 | + | 4.66254i | −0.372175 | + | 0.254362i | ||||
\(337\) | 5.76251 | − | 1.77750i | 0.313904 | − | 0.0968266i | −0.133800 | − | 0.991008i | \(-0.542718\pi\) |
0.447704 | + | 0.894182i | \(0.352242\pi\) | |||||||
\(338\) | 6.74105 | + | 7.26512i | 0.366665 | + | 0.395171i | ||||
\(339\) | 2.78417 | + | 5.39416i | 0.151215 | + | 0.292970i | ||||
\(340\) | 0.744877 | + | 0.229764i | 0.0403966 | + | 0.0124607i | ||||
\(341\) | 23.0306 | + | 11.0910i | 1.24718 | + | 0.600609i | ||||
\(342\) | 16.6500 | + | 6.91103i | 0.900328 | + | 0.373706i | ||||
\(343\) | 12.6627 | − | 13.5151i | 0.683719 | − | 0.729745i | ||||
\(344\) | 13.8041 | + | 7.96978i | 0.744265 | + | 0.429702i | ||||
\(345\) | 0.249704 | − | 2.03797i | 0.0134436 | − | 0.109720i | ||||
\(346\) | −4.64400 | − | 5.00504i | −0.249663 | − | 0.269073i | ||||
\(347\) | 29.1064 | + | 11.4234i | 1.56251 | + | 0.613241i | 0.979896 | − | 0.199507i | \(-0.0639340\pi\) |
0.582616 | + | 0.812748i | \(0.302029\pi\) | |||||||
\(348\) | 5.30228 | + | 2.86860i | 0.284232 | + | 0.153773i | ||||
\(349\) | 7.60682 | − | 8.19820i | 0.407184 | − | 0.438840i | −0.495851 | − | 0.868408i | \(-0.665144\pi\) |
0.903034 | + | 0.429568i | \(0.141334\pi\) | |||||||
\(350\) | 9.64676 | − | 9.85841i | 0.515641 | − | 0.526954i | ||||
\(351\) | 10.2602 | − | 1.63310i | 0.547650 | − | 0.0871683i | ||||
\(352\) | −9.24251 | + | 4.45096i | −0.492627 | + | 0.237237i | ||||
\(353\) | −15.3856 | − | 14.2757i | −0.818892 | − | 0.759821i | 0.154738 | − | 0.987956i | \(-0.450547\pi\) |
−0.973630 | + | 0.228135i | \(0.926737\pi\) | |||||||
\(354\) | −18.9902 | + | 8.06658i | −1.00932 | + | 0.428734i | ||||
\(355\) | 0.831712 | − | 5.51805i | 0.0441427 | − | 0.292868i | ||||
\(356\) | 0.403468 | + | 5.38390i | 0.0213837 | + | 0.285346i | ||||
\(357\) | 5.50236 | + | 6.88374i | 0.291216 | + | 0.364326i | ||||
\(358\) | −0.275003 | + | 3.66966i | −0.0145344 | + | 0.193948i | ||||
\(359\) | 4.00103 | + | 0.913208i | 0.211166 | + | 0.0481973i | 0.326795 | − | 0.945095i | \(-0.394031\pi\) |
−0.115629 | + | 0.993292i | \(0.536888\pi\) | |||||||
\(360\) | −4.73590 | − | 0.0920642i | −0.249604 | − | 0.00485221i | ||||
\(361\) | −10.7924 | −0.568021 | ||||||||
\(362\) | −3.27836 | + | 5.67829i | −0.172307 | + | 0.298444i | ||||
\(363\) | 5.47326 | + | 6.48649i | 0.287271 | + | 0.340452i | ||||
\(364\) | 0.110655 | − | 4.16689i | 0.00579987 | − | 0.218404i | ||||
\(365\) | −7.01019 | − | 2.75130i | −0.366930 | − | 0.144009i | ||||
\(366\) | −11.5417 | + | 5.95717i | −0.603292 | + | 0.311386i | ||||
\(367\) | −14.0295 | − | 1.05137i | −0.732335 | − | 0.0548809i | −0.296658 | − | 0.954984i | \(-0.595872\pi\) |
−0.435677 | + | 0.900103i | \(0.643491\pi\) | |||||||
\(368\) | 1.80287 | + | 3.74370i | 0.0939811 | + | 0.195154i | ||||
\(369\) | −33.9078 | − | 8.43583i | −1.76517 | − | 0.439152i | ||||
\(370\) | 0.599853 | − | 0.478367i | 0.0311849 | − | 0.0248691i | ||||
\(371\) | −13.1333 | + | 18.2051i | −0.681845 | + | 0.945163i | ||||
\(372\) | 13.2868 | + | 4.79468i | 0.688887 | + | 0.248592i | ||||
\(373\) | 2.47890 | + | 4.29357i | 0.128352 | + | 0.222313i | 0.923038 | − | 0.384708i | \(-0.125698\pi\) |
−0.794686 | + | 0.607021i | \(0.792364\pi\) | |||||||
\(374\) | −2.61448 | − | 4.52841i | −0.135192 | − | 0.234159i | ||||
\(375\) | 8.53829 | − | 1.52974i | 0.440915 | − | 0.0789952i | ||||
\(376\) | −11.3522 | + | 12.2347i | −0.585443 | + | 0.630958i | ||||
\(377\) | 7.95718 | − | 3.83198i | 0.409816 | − | 0.197357i | ||||
\(378\) | −12.3471 | − | 8.75343i | −0.635068 | − | 0.450228i | ||||
\(379\) | −17.5279 | − | 8.44100i | −0.900349 | − | 0.433585i | −0.0743339 | − | 0.997233i | \(-0.523683\pi\) |
−0.826015 | + | 0.563648i | \(0.809397\pi\) | |||||||
\(380\) | 2.05954 | − | 0.808309i | 0.105652 | − | 0.0414654i | ||||
\(381\) | −12.3013 | − | 28.9595i | −0.630214 | − | 1.48364i | ||||
\(382\) | −27.8905 | + | 8.60307i | −1.42700 | + | 0.440171i | ||||
\(383\) | 11.2926 | + | 7.69915i | 0.577024 | + | 0.393408i | 0.816373 | − | 0.577526i | \(-0.195982\pi\) |
−0.239349 | + | 0.970934i | \(0.576934\pi\) | |||||||
\(384\) | 1.02909 | − | 0.632756i | 0.0525157 | − | 0.0322902i | ||||
\(385\) | −3.35757 | + | 0.162130i | −0.171118 | + | 0.00826291i | ||||
\(386\) | −4.23963 | − | 0.967669i | −0.215792 | − | 0.0492530i | ||||
\(387\) | −2.62098 | + | 15.3574i | −0.133232 | + | 0.780661i | ||||
\(388\) | 4.57263 | − | 3.64655i | 0.232140 | − | 0.185126i | ||||
\(389\) | −10.5011 | + | 34.0436i | −0.532425 | + | 1.72608i | 0.144008 | + | 0.989576i | \(0.454001\pi\) |
−0.676434 | + | 0.736504i | \(0.736475\pi\) | |||||||
\(390\) | −1.17994 | + | 1.56666i | −0.0597486 | + | 0.0793311i | ||||
\(391\) | 3.83777 | − | 2.21574i | 0.194084 | − | 0.112055i | ||||
\(392\) | −15.4291 | + | 14.9521i | −0.779286 | + | 0.755194i | ||||
\(393\) | 4.65944 | − | 23.3795i | 0.235038 | − | 1.17934i | ||||
\(394\) | −9.28573 | + | 6.33090i | −0.467808 | + | 0.318946i | ||||
\(395\) | −0.548042 | − | 2.40113i | −0.0275750 | − | 0.120814i | ||||
\(396\) | −4.20185 | − | 4.05355i | −0.211151 | − | 0.203698i | ||||
\(397\) | −30.9821 | + | 7.07145i | −1.55494 | + | 0.354906i | −0.911733 | − | 0.410783i | \(-0.865255\pi\) |
−0.643211 | + | 0.765689i | \(0.722398\pi\) | |||||||
\(398\) | −6.90845 | − | 6.41011i | −0.346289 | − | 0.321310i | ||||
\(399\) | 24.3920 | + | 5.53827i | 1.22113 | + | 0.277260i | ||||
\(400\) | −6.25931 | + | 5.80779i | −0.312965 | + | 0.290389i | ||||
\(401\) | 14.1880 | − | 20.8100i | 0.708515 | − | 1.03920i | −0.288149 | − | 0.957586i | \(-0.593040\pi\) |
0.996664 | − | 0.0816151i | \(-0.0260078\pi\) | |||||||
\(402\) | −0.972621 | − | 1.34502i | −0.0485099 | − | 0.0670835i | ||||
\(403\) | 17.0980 | − | 11.6572i | 0.851712 | − | 0.580688i | ||||
\(404\) | 0.412441 | − | 0.517185i | 0.0205197 | − | 0.0257309i | ||||
\(405\) | −1.52268 | − | 4.37223i | −0.0756624 | − | 0.217258i | ||||
\(406\) | −12.1895 | − | 4.11740i | −0.604956 | − | 0.204343i | ||||
\(407\) | 3.33660 | + | 0.250043i | 0.165389 | + | 0.0123942i | ||||
\(408\) | −5.99070 | − | 8.28442i | −0.296584 | − | 0.410140i | ||||
\(409\) | −2.01761 | + | 13.3860i | −0.0997645 | + | 0.661894i | 0.881923 | + | 0.471394i | \(0.156249\pi\) |
−0.981687 | + | 0.190500i | \(0.938989\pi\) | |||||||
\(410\) | 5.71250 | − | 3.29811i | 0.282120 | − | 0.162882i | ||||
\(411\) | −5.14775 | − | 15.1832i | −0.253920 | − | 0.748931i | ||||
\(412\) | 9.41428 | − | 3.69483i | 0.463808 | − | 0.182031i | ||||
\(413\) | −24.0728 | + | 15.4928i | −1.18455 | + | 0.762351i | ||||
\(414\) | −5.28414 | + | 5.47746i | −0.259701 | + | 0.269203i | ||||
\(415\) | 3.57705 | + | 4.48548i | 0.175591 | + | 0.220184i | ||||
\(416\) | −0.620611 | + | 8.28148i | −0.0304280 | + | 0.406033i | ||||
\(417\) | 9.35327 | − | 2.40902i | 0.458032 | − | 0.117970i | ||||
\(418\) | −13.8154 | − | 5.42216i | −0.675735 | − | 0.265206i | ||||
\(419\) | −4.38433 | + | 11.1711i | −0.214188 | + | 0.545743i | −0.997076 | − | 0.0764205i | \(-0.975651\pi\) |
0.782887 | + | 0.622164i | \(0.213746\pi\) | |||||||
\(420\) | −1.83647 | + | 0.278929i | −0.0896105 | + | 0.0136104i | ||||
\(421\) | 11.2180 | + | 28.5829i | 0.546731 | + | 1.39305i | 0.890926 | + | 0.454149i | \(0.150057\pi\) |
−0.344195 | + | 0.938898i | \(0.611848\pi\) | |||||||
\(422\) | 20.9839i | 1.02148i | ||||||||
\(423\) | −15.0667 | − | 6.25386i | −0.732569 | − | 0.304073i | ||||
\(424\) | 16.2368 | − | 20.3603i | 0.788530 | − | 0.988786i | ||||
\(425\) | 6.67549 | + | 6.19395i | 0.323809 | + | 0.300451i | ||||
\(426\) | −14.7682 | + | 14.4839i | −0.715522 | + | 0.701748i | ||||
\(427\) | −14.3829 | + | 10.8581i | −0.696038 | + | 0.525460i | ||||
\(428\) | −3.89921 | + | 0.292206i | −0.188476 | + | 0.0141243i | ||||
\(429\) | −8.41921 | + | 1.50840i | −0.406483 | + | 0.0728263i | ||||
\(430\) | −1.65677 | − | 2.43003i | −0.0798965 | − | 0.117187i | ||||
\(431\) | −18.7825 | − | 4.28699i | −0.904723 | − | 0.206497i | −0.255244 | − | 0.966877i | \(-0.582156\pi\) |
−0.649479 | + | 0.760380i | \(0.725013\pi\) | |||||||
\(432\) | 7.37333 | + | 5.78124i | 0.354750 | + | 0.278150i | ||||
\(433\) | −19.4650 | + | 4.44276i | −0.935428 | + | 0.213505i | −0.662956 | − | 0.748658i | \(-0.730698\pi\) |
−0.272472 | + | 0.962164i | \(0.587841\pi\) | |||||||
\(434\) | −29.6801 | − | 5.28288i | −1.42469 | − | 0.253586i | ||||
\(435\) | −2.30621 | − | 3.18921i | −0.110574 | − | 0.152911i | ||||
\(436\) | −5.43907 | + | 5.04672i | −0.260484 | + | 0.241694i | ||||
\(437\) | 4.59520 | − | 11.7084i | 0.219818 | − | 0.560088i | ||||
\(438\) | 14.6213 | + | 23.7796i | 0.698632 | + | 1.13623i | ||||
\(439\) | −18.5432 | − | 27.1978i | −0.885017 | − | 1.29808i | −0.953798 | − | 0.300449i | \(-0.902863\pi\) |
0.0687810 | − | 0.997632i | \(-0.478089\pi\) | |||||||
\(440\) | 3.89966 | 0.185909 | ||||||||
\(441\) | −18.9409 | − | 9.06870i | −0.901949 | − | 0.431843i | ||||
\(442\) | −4.23311 | −0.201348 | ||||||||
\(443\) | −13.1027 | − | 19.2182i | −0.622530 | − | 0.913084i | 0.377386 | − | 0.926056i | \(-0.376823\pi\) |
−0.999916 | + | 0.0129719i | \(0.995871\pi\) | |||||||
\(444\) | 1.84824 | − | 0.0511748i | 0.0877137 | − | 0.00242865i | ||||
\(445\) | 1.28772 | − | 3.28106i | 0.0610438 | − | 0.155537i | ||||
\(446\) | 4.92283 | − | 4.56772i | 0.233103 | − | 0.216288i | ||||
\(447\) | −14.5809 | + | 32.5529i | −0.689653 | + | 1.53970i | ||||
\(448\) | 16.2482 | − | 14.2925i | 0.767655 | − | 0.675256i | ||||
\(449\) | −4.92411 | + | 1.12390i | −0.232383 | + | 0.0530399i | −0.337126 | − | 0.941459i | \(-0.609455\pi\) |
0.104743 | + | 0.994499i | \(0.466598\pi\) | |||||||
\(450\) | −13.9565 | − | 7.05847i | −0.657914 | − | 0.332739i | ||||
\(451\) | 28.0450 | + | 6.40109i | 1.32059 | + | 0.301416i | ||||
\(452\) | −1.55565 | − | 2.28172i | −0.0731717 | − | 0.107323i | ||||
\(453\) | 11.3275 | − | 31.3903i | 0.532214 | − | 1.47484i | ||||
\(454\) | −4.97379 | + | 0.372734i | −0.233431 | + | 0.0174933i | ||||
\(455\) | −1.24539 | + | 2.41959i | −0.0583850 | + | 0.113432i | ||||
\(456\) | −27.9543 | − | 7.78229i | −1.30908 | − | 0.364439i | ||||
\(457\) | 2.51704 | + | 2.33547i | 0.117742 | + | 0.109249i | 0.736847 | − | 0.676060i | \(-0.236314\pi\) |
−0.619105 | + | 0.785308i | \(0.712504\pi\) | |||||||
\(458\) | 6.94436 | − | 8.70796i | 0.324489 | − | 0.406896i | ||||
\(459\) | 5.56075 | − | 8.30236i | 0.259553 | − | 0.387521i | ||||
\(460\) | 0.934071i | 0.0435513i | ||||||||
\(461\) | −6.07170 | − | 15.4704i | −0.282787 | − | 0.720530i | −0.999726 | − | 0.0233944i | \(-0.992553\pi\) |
0.716939 | − | 0.697136i | \(-0.245543\pi\) | |||||||
\(462\) | 10.3032 | + | 7.00751i | 0.479347 | + | 0.326019i | ||||
\(463\) | −7.93995 | + | 20.2307i | −0.369001 | + | 0.940199i | 0.618950 | + | 0.785430i | \(0.287558\pi\) |
−0.987951 | + | 0.154768i | \(0.950537\pi\) | |||||||
\(464\) | 7.41430 | + | 2.90990i | 0.344200 | + | 0.135089i | ||||
\(465\) | −6.45705 | − | 6.58379i | −0.299439 | − | 0.305316i | ||||
\(466\) | 1.93843 | − | 25.8665i | 0.0897959 | − | 1.19824i | ||||
\(467\) | −0.781187 | − | 0.979578i | −0.0361490 | − | 0.0453294i | 0.763428 | − | 0.645892i | \(-0.223515\pi\) |
−0.799577 | + | 0.600563i | \(0.794943\pi\) | |||||||
\(468\) | −4.54271 | + | 1.30511i | −0.209987 | + | 0.0603286i | ||||
\(469\) | −1.64605 | − | 1.61071i | −0.0760077 | − | 0.0743759i | ||||
\(470\) | 2.86669 | − | 1.12509i | 0.132231 | − | 0.0518967i | ||||
\(471\) | −24.5464 | − | 4.89200i | −1.13104 | − | 0.225411i | ||||
\(472\) | 28.7613 | − | 16.6053i | 1.32385 | − | 0.764323i | ||||
\(473\) | 1.91163 | − | 12.6829i | 0.0878970 | − | 0.583158i | ||||
\(474\) | −3.73192 | + | 8.33179i | −0.171413 | + | 0.382692i | ||||
\(475\) | 25.7745 | + | 1.93153i | 1.18262 | + | 0.0886248i | ||||
\(476\) | −2.86548 | − | 2.80397i | −0.131339 | − | 0.128520i | ||||
\(477\) | 24.1723 | + | 7.97388i | 1.10677 | + | 0.365099i | ||||
\(478\) | −3.03773 | + | 3.80919i | −0.138943 | + | 0.174228i | ||||
\(479\) | 8.12655 | − | 5.54059i | 0.371312 | − | 0.253156i | −0.363259 | − | 0.931688i | \(-0.618336\pi\) |
0.734571 | + | 0.678532i | \(0.237384\pi\) | |||||||
\(480\) | 3.68138 | − | 0.378599i | 0.168031 | − | 0.0172806i | ||||
\(481\) | 1.52588 | − | 2.23805i | 0.0695740 | − | 0.102046i | ||||
\(482\) | −14.0856 | + | 13.0696i | −0.641583 | + | 0.595302i | ||||
\(483\) | −5.93877 | + | 8.73179i | −0.270223 | + | 0.397310i | ||||
\(484\) | −2.83036 | − | 2.62619i | −0.128653 | − | 0.119372i | ||||
\(485\) | −3.72251 | + | 0.849639i | −0.169030 | + | 0.0385801i | ||||
\(486\) | −5.24174 | + | 16.3416i | −0.237770 | + | 0.741270i | ||||
\(487\) | −0.663163 | − | 2.90551i | −0.0300508 | − | 0.131661i | 0.957677 | − | 0.287844i | \(-0.0929383\pi\) |
−0.987728 | + | 0.156183i | \(0.950081\pi\) | |||||||
\(488\) | 17.2738 | − | 11.7771i | 0.781947 | − | 0.533122i | ||||
\(489\) | −3.64444 | − | 3.19847i | −0.164807 | − | 0.144640i | ||||
\(490\) | 3.76199 | − | 1.25044i | 0.169949 | − | 0.0564893i | ||||
\(491\) | −3.16046 | + | 1.82469i | −0.142629 | + | 0.0823472i | −0.569617 | − | 0.821911i | \(-0.692908\pi\) |
0.426987 | + | 0.904258i | \(0.359575\pi\) | |||||||
\(492\) | 15.7780 | + | 1.93322i | 0.711328 | + | 0.0871562i | ||||
\(493\) | 2.50379 | − | 8.11708i | 0.112765 | − | 0.365575i | ||||
\(494\) | −9.39357 | + | 7.49112i | −0.422637 | + | 0.337042i | ||||
\(495\) | 1.32330 | + | 3.57448i | 0.0594778 | + | 0.160661i | ||||
\(496\) | 18.1946 | + | 4.15280i | 0.816961 | + | 0.186466i | ||||
\(497\) | −16.7916 | + | 23.2762i | −0.753204 | + | 1.04408i | ||||
\(498\) | −0.588608 | − | 21.2583i | −0.0263762 | − | 0.952608i | ||||
\(499\) | 11.6690 | + | 7.95578i | 0.522376 | + | 0.356150i | 0.795621 | − | 0.605795i | \(-0.207145\pi\) |
−0.273245 | + | 0.961944i | \(0.588097\pi\) | |||||||
\(500\) | −3.77088 | + | 1.16316i | −0.168639 | + | 0.0520182i | ||||
\(501\) | 4.77233 | − | 6.33646i | 0.213212 | − | 0.283092i | ||||
\(502\) | 10.2483 | − | 4.02217i | 0.457405 | − | 0.179518i | ||||
\(503\) | −22.7898 | − | 10.9750i | −1.01615 | − | 0.489351i | −0.149760 | − | 0.988722i | \(-0.547850\pi\) |
−0.866388 | + | 0.499371i | \(0.833564\pi\) | |||||||
\(504\) | 21.4404 | + | 11.5682i | 0.955031 | + | 0.515288i | ||||
\(505\) | −0.389092 | + | 0.187377i | −0.0173144 | + | 0.00833816i | ||||
\(506\) | 4.26180 | − | 4.59313i | 0.189460 | − | 0.204190i | ||||
\(507\) | 5.29262 | − | 14.6666i | 0.235053 | − | 0.651368i | ||||
\(508\) | 7.15697 | + | 12.3962i | 0.317539 | + | 0.549994i | ||||
\(509\) | −6.20637 | − | 10.7497i | −0.275092 | − | 0.476474i | 0.695066 | − | 0.718946i | \(-0.255375\pi\) |
−0.970158 | + | 0.242472i | \(0.922042\pi\) | |||||||
\(510\) | 0.332671 | + | 1.85682i | 0.0147309 | + | 0.0822214i | ||||
\(511\) | 25.5814 | + | 29.0819i | 1.13166 | + | 1.28651i | ||||
\(512\) | −14.5097 | + | 11.5711i | −0.641245 | + | 0.511376i | ||||
\(513\) | −2.35257 | − | 28.2641i | −0.103869 | − | 1.24789i | ||||
\(514\) | −5.01271 | − | 10.4090i | −0.221101 | − | 0.459121i | ||||
\(515\) | −6.58401 | − | 0.493403i | −0.290126 | − | 0.0217420i | ||||
\(516\) | 0.333834 | − | 7.07975i | 0.0146962 | − | 0.311669i | ||||
\(517\) | 12.5017 | + | 4.90656i | 0.549824 | + | 0.215790i | ||||
\(518\) | −3.86907 | + | 0.775643i | −0.169997 | + | 0.0340798i | ||||
\(519\) | −3.64615 | + | 10.1040i | −0.160048 | + | 0.443518i | ||||
\(520\) | 1.57849 | − | 2.73402i | 0.0692212 | − | 0.119895i | ||||
\(521\) | 41.5466 | 1.82019 | 0.910094 | − | 0.414402i | \(-0.136009\pi\) | ||||
0.910094 | + | 0.414402i | \(0.136009\pi\) | |||||||
\(522\) | −0.283548 | + | 14.5861i | −0.0124106 | + | 0.638415i | ||||
\(523\) | −14.0736 | − | 3.21221i | −0.615397 | − | 0.140460i | −0.0965508 | − | 0.995328i | \(-0.530781\pi\) |
−0.518846 | + | 0.854868i | \(0.673638\pi\) | |||||||
\(524\) | −0.810470 | + | 10.8150i | −0.0354056 | + | 0.472454i | ||||
\(525\) | −20.7433 | − | 6.37277i | −0.905314 | − | 0.278131i | ||||
\(526\) | 0.790593 | + | 10.5497i | 0.0344715 | + | 0.459990i | ||||
\(527\) | 2.96644 | − | 19.6811i | 0.129220 | − | 0.857321i | ||||
\(528\) | −6.16160 | − | 4.64064i | −0.268149 | − | 0.201958i | ||||
\(529\) | −12.9676 | − | 12.0322i | −0.563808 | − | 0.523137i | ||||
\(530\) | −4.32925 | + | 2.08486i | −0.188051 | + | 0.0905604i | ||||
\(531\) | 24.9804 | + | 20.7282i | 1.08406 | + | 0.899526i | ||||
\(532\) | −11.3208 | − | 1.15130i | −0.490817 | − | 0.0499150i | ||||
\(533\) | 15.8397 | − | 17.0711i | 0.686093 | − | 0.739432i | ||||
\(534\) | −11.1298 | + | 6.84337i | −0.481635 | + | 0.296142i | ||||
\(535\) | 2.37626 | + | 0.932614i | 0.102735 | + | 0.0403204i | ||||
\(536\) | 1.81724 | + | 1.95852i | 0.0784928 | + | 0.0845951i | ||||
\(537\) | 5.32875 | − | 2.26352i | 0.229952 | − | 0.0976781i | ||||
\(538\) | 10.8564 | + | 6.26793i | 0.468051 | + | 0.270230i | ||||
\(539\) | 15.7357 | + | 7.16151i | 0.677783 | + | 0.308468i | ||||
\(540\) | 0.929478 | + | 1.89006i | 0.0399983 | + | 0.0813353i | ||||
\(541\) | −5.21784 | − | 2.51278i | −0.224332 | − | 0.108033i | 0.318342 | − | 0.947976i | \(-0.396874\pi\) |
−0.542674 | + | 0.839943i | \(0.682588\pi\) | |||||||
\(542\) | 5.95571 | + | 1.83709i | 0.255820 | + | 0.0789099i | ||||
\(543\) | 10.3040 | + | 0.485871i | 0.442189 | + | 0.0208507i | ||||
\(544\) | 5.43288 | + | 5.85525i | 0.232933 | + | 0.251042i | ||||
\(545\) | 4.62876 | − | 1.42778i | 0.198274 | − | 0.0611595i | ||||
\(546\) | 9.08338 | − | 4.38700i | 0.388733 | − | 0.187746i | ||||
\(547\) | −22.9307 | − | 7.07318i | −0.980446 | − | 0.302428i | −0.237211 | − | 0.971458i | \(-0.576233\pi\) |
−0.743235 | + | 0.669031i | \(0.766710\pi\) | |||||||
\(548\) | 3.16455 | + | 6.57125i | 0.135183 | + | 0.280710i | ||||
\(549\) | 16.6566 | + | 11.8370i | 0.710888 | + | 0.505190i | ||||
\(550\) | 11.6007 | + | 5.58661i | 0.494656 | + | 0.238214i | ||||
\(551\) | −8.80832 | − | 22.4432i | −0.375247 | − | 0.956113i | ||||
\(552\) | 7.37013 | − | 9.78568i | 0.313694 | − | 0.416506i | ||||
\(553\) | −3.14551 | + | 12.2702i | −0.133761 | + | 0.521783i | ||||
\(554\) | 0.367054 | − | 0.538369i | 0.0155946 | − | 0.0228731i | ||||
\(555\) | −1.10162 | − | 0.493430i | −0.0467611 | − | 0.0209449i | ||||
\(556\) | −4.09024 | + | 1.60530i | −0.173465 | + | 0.0680799i | ||||
\(557\) | 10.7517i | 0.455563i | 0.973712 | + | 0.227782i | \(0.0731472\pi\) | ||||
−0.973712 | + | 0.227782i | \(0.926853\pi\) | |||||||
\(558\) | 4.43679 | + | 33.8939i | 0.187824 | + | 1.43484i | ||||
\(559\) | −8.11806 | − | 6.47394i | −0.343357 | − | 0.273818i | ||||
\(560\) | −2.36352 | + | 0.660870i | −0.0998768 | + | 0.0279269i | ||||
\(561\) | −4.44429 | + | 6.92277i | −0.187638 | + | 0.292280i | ||||
\(562\) | 3.37259 | − | 8.59322i | 0.142264 | − | 0.362483i | ||||
\(563\) | −33.3356 | − | 22.7278i | −1.40493 | − | 0.957862i | −0.999034 | − | 0.0439415i | \(-0.986008\pi\) |
−0.405892 | − | 0.913921i | \(-0.633039\pi\) | |||||||
\(564\) | 7.14948 | + | 1.99037i | 0.301047 | + | 0.0838095i | ||||
\(565\) | 0.268706 | + | 1.78275i | 0.0113045 | + | 0.0750007i | ||||
\(566\) | 5.91779 | + | 7.42067i | 0.248743 | + | 0.311914i | ||||
\(567\) | −3.32804 | + | 23.5780i | −0.139765 | + | 0.990185i | ||||
\(568\) | 20.7596 | − | 26.0317i | 0.871054 | − | 1.09227i | ||||
\(569\) | −31.6254 | − | 18.2589i | −1.32580 | − | 0.765453i | −0.341156 | − | 0.940007i | \(-0.610818\pi\) |
−0.984648 | + | 0.174554i | \(0.944152\pi\) | |||||||
\(570\) | 4.02415 | + | 3.53171i | 0.168553 | + | 0.147927i | ||||
\(571\) | 43.0550 | + | 6.48950i | 1.80180 | + | 0.271577i | 0.962340 | − | 0.271849i | \(-0.0876351\pi\) |
0.839457 | + | 0.543426i | \(0.182873\pi\) | |||||||
\(572\) | 3.71829 | − | 1.14694i | 0.155470 | − | 0.0479560i | ||||
\(573\) | 32.1528 | + | 32.7839i | 1.34320 | + | 1.36957i | ||||
\(574\) | −33.8860 | + | 1.63628i | −1.41437 | + | 0.0682971i | ||||
\(575\) | −4.73457 | + | 9.83144i | −0.197445 | + | 0.410000i | ||||
\(576\) | −21.0073 | − | 12.6793i | −0.875306 | − | 0.528303i | ||||
\(577\) | 9.49458 | − | 19.7157i | 0.395264 | − | 0.820775i | −0.604444 | − | 0.796647i | \(-0.706605\pi\) |
0.999709 | − | 0.0241278i | \(-0.00768087\pi\) | |||||||
\(578\) | 9.96064 | − | 10.7350i | 0.414308 | − | 0.446518i | ||||
\(579\) | 1.70643 | + | 6.62540i | 0.0709170 | + | 0.275342i | ||||
\(580\) | 1.21783 | + | 1.31251i | 0.0505677 | + | 0.0544990i | ||||
\(581\) | −5.79997 | − | 28.9314i | −0.240623 | − | 1.20028i | ||||
\(582\) | 12.9169 | + | 5.78566i | 0.535423 | + | 0.239824i | ||||
\(583\) | −20.0242 | − | 6.17664i | −0.829316 | − | 0.255810i | ||||
\(584\) | −28.0153 | − | 35.1300i | −1.15928 | − | 1.45369i | ||||
\(585\) | 3.04168 | + | 0.519109i | 0.125758 | + | 0.0214625i | ||||
\(586\) | −1.62582 | + | 3.37605i | −0.0671621 | + | 0.139463i | ||||
\(587\) | 2.31496 | − | 4.00962i | 0.0955484 | − | 0.165495i | −0.814289 | − | 0.580460i | \(-0.802873\pi\) |
0.909837 | + | 0.414965i | \(0.136206\pi\) | |||||||
\(588\) | 9.05464 | + | 3.04708i | 0.373407 | + | 0.125659i | ||||
\(589\) | −28.2459 | − | 48.9233i | −1.16385 | − | 2.01585i | ||||
\(590\) | −6.11072 | + | 0.457935i | −0.251574 | + | 0.0188529i | ||||
\(591\) | 15.5513 | + | 8.41344i | 0.639694 | + | 0.346083i | ||||
\(592\) | 2.41555 | − | 0.364086i | 0.0992785 | − | 0.0149638i | ||||
\(593\) | 3.29278 | + | 14.4266i | 0.135218 | + | 0.592431i | 0.996448 | + | 0.0842140i | \(0.0268379\pi\) |
−0.861229 | + | 0.508217i | \(0.830305\pi\) | |||||||
\(594\) | 4.05307 | − | 13.5349i | 0.166299 | − | 0.555343i | ||||
\(595\) | 0.891210 | + | 2.46095i | 0.0365361 | + | 0.100889i | ||||
\(596\) | 4.78303 | − | 15.5062i | 0.195920 | − | 0.635158i | ||||
\(597\) | −3.97648 | + | 14.2837i | −0.162746 | + | 0.584592i | ||||
\(598\) | −1.49513 | − | 4.84710i | −0.0611405 | − | 0.198213i | ||||
\(599\) | −8.69466 | + | 0.651574i | −0.355254 | + | 0.0266226i | −0.251162 | − | 0.967945i | \(-0.580813\pi\) |
−0.104092 | + | 0.994568i | \(0.533194\pi\) | |||||||
\(600\) | 23.6798 | + | 8.54512i | 0.966723 | + | 0.348853i | ||||
\(601\) | 7.24450 | + | 10.6257i | 0.295509 | + | 0.433433i | 0.945066 | − | 0.326881i | \(-0.105998\pi\) |
−0.649556 | + | 0.760314i | \(0.725045\pi\) | |||||||
\(602\) | 1.85662 | + | 15.0121i | 0.0756702 | + | 0.611847i | ||||
\(603\) | −1.17855 | + | 2.33030i | −0.0479942 | + | 0.0948973i | ||||
\(604\) | −3.37827 | + | 14.8012i | −0.137460 | + | 0.602252i | ||||
\(605\) | 0.920908 | + | 2.34643i | 0.0374402 | + | 0.0953961i | ||||
\(606\) | 1.56994 | + | 0.312883i | 0.0637746 | + | 0.0127100i | ||||
\(607\) | 5.07000 | − | 2.92716i | 0.205785 | − | 0.118810i | −0.393566 | − | 0.919296i | \(-0.628759\pi\) |
0.599351 | + | 0.800486i | \(0.295425\pi\) | |||||||
\(608\) | 22.4177 | + | 3.37893i | 0.909158 | + | 0.137034i | ||||
\(609\) | 3.03955 | + | 20.0124i | 0.123169 | + | 0.810943i | ||||
\(610\) | −3.81447 | + | 0.574939i | −0.154443 | + | 0.0232786i | ||||
\(611\) | 8.50033 | − | 6.77878i | 0.343886 | − | 0.274240i | ||||
\(612\) | −2.05164 | + | 4.05664i | −0.0829327 | + | 0.163980i | ||||
\(613\) | 15.4902 | − | 7.45969i | 0.625644 | − | 0.301294i | −0.0940695 | − | 0.995566i | \(-0.529988\pi\) |
0.719713 | + | 0.694272i | \(0.244273\pi\) | |||||||
\(614\) | 19.1156 | − | 2.88122i | 0.771444 | − | 0.116276i | ||||
\(615\) | −8.73293 | − | 5.60637i | −0.352146 | − | 0.226071i | ||||
\(616\) | −17.8330 | − | 9.17887i | −0.718512 | − | 0.369827i | ||||
\(617\) | −5.03796 | + | 33.4247i | −0.202821 | + | 1.34563i | 0.623233 | + | 0.782036i | \(0.285819\pi\) |
−0.826054 | + | 0.563592i | \(0.809419\pi\) | |||||||
\(618\) | 18.3946 | + | 16.1437i | 0.739940 | + | 0.649393i | ||||
\(619\) | 37.9273 | + | 21.8974i | 1.52443 | + | 0.880129i | 0.999581 | + | 0.0289319i | \(0.00921059\pi\) |
0.524846 | + | 0.851197i | \(0.324123\pi\) | |||||||
\(620\) | 3.27998 | + | 2.61570i | 0.131727 | + | 0.105049i | ||||
\(621\) | 11.4706 | + | 3.43492i | 0.460301 | + | 0.137839i | ||||
\(622\) | 1.32556 | + | 2.75256i | 0.0531502 | + | 0.110367i | ||||
\(623\) | −13.6115 | + | 11.9732i | −0.545335 | + | 0.479695i | ||||
\(624\) | −5.74758 | + | 2.44143i | −0.230087 | + | 0.0977355i | ||||
\(625\) | −20.8649 | − | 3.14488i | −0.834597 | − | 0.125795i | ||||
\(626\) | −2.71415 | − | 36.2178i | −0.108479 | − | 1.44755i | ||||
\(627\) | 2.38869 | + | 23.2270i | 0.0953952 | + | 0.927596i | ||||
\(628\) | 11.3548 | + | 0.850922i | 0.453104 | + | 0.0339555i | ||||
\(629\) | −0.579725 | − | 2.53994i | −0.0231151 | − | 0.101274i | ||||
\(630\) | −2.63817 | − | 3.63959i | −0.105107 | − | 0.145005i | ||||
\(631\) | 5.06269 | − | 22.1811i | 0.201542 | − | 0.883015i | −0.768456 | − | 0.639903i | \(-0.778975\pi\) |
0.969998 | − | 0.243112i | \(-0.0781683\pi\) | |||||||
\(632\) | 4.33142 | − | 14.0421i | 0.172295 | − | 0.558566i | ||||
\(633\) | 29.3361 | − | 15.1417i | 1.16601 | − | 0.601828i | ||||
\(634\) | 11.4507 | − | 10.6247i | 0.454765 | − | 0.421960i | ||||
\(635\) | −0.698337 | − | 9.31866i | −0.0277127 | − | 0.369800i | ||||
\(636\) | −11.3563 | − | 2.26327i | −0.450308 | − | 0.0897443i | ||||
\(637\) | 11.3903 | − | 8.13334i | 0.451299 | − | 0.322255i | ||||
\(638\) | − | 12.0105i | − | 0.475502i | ||||||
\(639\) | 30.9055 | + | 10.1950i | 1.22260 | + | 0.403309i | ||||
\(640\) | 0.349800 | − | 0.0798395i | 0.0138270 | − | 0.00315593i | ||||
\(641\) | 0.379453 | + | 2.51751i | 0.0149875 | + | 0.0994356i | 0.995074 | − | 0.0991360i | \(-0.0316079\pi\) |
−0.980086 | + | 0.198572i | \(0.936370\pi\) | |||||||
\(642\) | −4.95622 | − | 8.06062i | −0.195606 | − | 0.318127i | ||||
\(643\) | 6.41411 | + | 20.7940i | 0.252948 | + | 0.820036i | 0.989610 | + | 0.143776i | \(0.0459244\pi\) |
−0.736663 | + | 0.676260i | \(0.763599\pi\) | |||||||
\(644\) | 2.19858 | − | 4.27147i | 0.0866362 | − | 0.168320i | ||||
\(645\) | −2.20176 | + | 4.06970i | −0.0866943 | + | 0.160244i | ||||
\(646\) | −0.863575 | + | 11.5236i | −0.0339769 | + | 0.453390i | ||||
\(647\) | 6.05250 | − | 26.5177i | 0.237948 | − | 1.04252i | −0.704903 | − | 0.709304i | \(-0.749009\pi\) |
0.942851 | − | 0.333215i | \(-0.108134\pi\) | |||||||
\(648\) | 5.17565 | − | 27.1349i | 0.203319 | − | 1.06596i | ||||
\(649\) | −20.8934 | − | 16.6619i | −0.820139 | − | 0.654039i | ||||
\(650\) | 8.61241 | − | 5.87184i | 0.337806 | − | 0.230313i | ||||
\(651\) | 14.0312 | + | 45.3058i | 0.549925 | + | 1.77567i | ||||
\(652\) | 1.82263 | + | 1.24265i | 0.0713798 | + | 0.0486659i | ||||
\(653\) | −10.0145 | − | 32.4663i | −0.391898 | − | 1.27050i | −0.909794 | − | 0.415059i | \(-0.863761\pi\) |
0.517896 | − | 0.855444i | \(-0.326715\pi\) | |||||||
\(654\) | −16.8896 | − | 6.09479i | −0.660434 | − | 0.238325i | ||||
\(655\) | 3.54015 | − | 6.13172i | 0.138325 | − | 0.239586i | ||||
\(656\) | 21.0018 | 0.819984 | ||||||||
\(657\) | 22.6940 | − | 37.6000i | 0.885379 | − | 1.46692i | ||||
\(658\) | −15.7575 | − | 1.60250i | −0.614290 | − | 0.0624719i | ||||
\(659\) | 7.52944 | + | 49.9546i | 0.293305 | + | 1.94595i | 0.323009 | + | 0.946396i | \(0.395305\pi\) |
−0.0297039 | + | 0.999559i | \(0.509456\pi\) | |||||||
\(660\) | −0.795310 | − | 1.54086i | −0.0309574 | − | 0.0599780i | ||||
\(661\) | −1.51641 | + | 2.22416i | −0.0589814 | + | 0.0865098i | −0.854596 | − | 0.519293i | \(-0.826195\pi\) |
0.795615 | + | 0.605802i | \(0.207148\pi\) | |||||||
\(662\) | 11.1252 | − | 16.3177i | 0.432395 | − | 0.634207i | ||||
\(663\) | 3.05456 | + | 5.91802i | 0.118629 | + | 0.229837i | ||||
\(664\) | 5.10190 | + | 33.8489i | 0.197992 | + | 1.31359i | ||||
\(665\) | 6.33268 | + | 3.88389i | 0.245571 | + | 0.150611i | ||||
\(666\) | 2.16146 | + | 3.91769i | 0.0837550 | + | 0.151808i | ||||
\(667\) | 10.1788 | 0.394123 | ||||||||
\(668\) | −1.80440 | + | 3.12531i | −0.0698142 | + | 0.120922i | ||||
\(669\) | −9.93807 | − | 3.58626i | −0.384228 | − | 0.138653i | ||||
\(670\) | −0.145307 | − | 0.471072i | −0.00561368 | − | 0.0181991i | ||||
\(671\) | −13.8997 | − | 9.47667i | −0.536593 | − | 0.365843i | ||||
\(672\) | −17.7259 | − | 6.93378i | −0.683793 | − | 0.267476i | ||||
\(673\) | −39.0890 | + | 26.6504i | −1.50677 | + | 1.02730i | −0.522098 | + | 0.852885i | \(0.674851\pi\) |
−0.984672 | + | 0.174414i | \(0.944197\pi\) | |||||||
\(674\) | −5.19061 | − | 4.13938i | −0.199935 | − | 0.159443i | ||||
\(675\) | 0.202850 | + | 24.6049i | 0.00780771 | + | 0.947042i | ||||
\(676\) | −1.57845 | + | 6.91563i | −0.0607095 | + | 0.265986i | ||||
\(677\) | −3.63659 | + | 48.5270i | −0.139766 | + | 1.86504i | 0.283416 | + | 0.958997i | \(0.408532\pi\) |
−0.423181 | + | 0.906045i | \(0.639087\pi\) | |||||||
\(678\) | 3.18000 | − | 5.87786i | 0.122127 | − | 0.225738i | ||||
\(679\) | 19.0227 | + | 4.87654i | 0.730026 | + | 0.187144i | ||||
\(680\) | −0.894992 | − | 2.90149i | −0.0343214 | − | 0.111267i | ||||
\(681\) | 4.11011 | + | 6.68455i | 0.157500 | + | 0.256152i | ||||
\(682\) | −4.19433 | − | 27.8275i | −0.160609 | − | 1.06557i | ||||
\(683\) | −47.4756 | + | 10.8360i | −1.81660 | + | 0.414627i | −0.989150 | − | 0.146910i | \(-0.953067\pi\) |
−0.827452 | + | 0.561537i | \(0.810210\pi\) | |||||||
\(684\) | 2.62610 | + | 12.6327i | 0.100411 | + | 0.483022i | ||||
\(685\) | − | 4.76155i | − | 0.181929i | ||||||
\(686\) | −20.1467 | − | 3.13660i | −0.769204 | − | 0.119756i | ||||
\(687\) | −17.1850 | − | 3.42489i | −0.655647 | − | 0.130668i | ||||
\(688\) | −0.699785 | − | 9.33798i | −0.0266790 | − | 0.356007i | ||||
\(689\) | −12.4357 | + | 11.5386i | −0.473762 | + | 0.439587i | ||||
\(690\) | −2.00864 | + | 1.03675i | −0.0764678 | + | 0.0394685i | ||||
\(691\) | 0.602095 | − | 1.95194i | 0.0229048 | − | 0.0742555i | −0.943399 | − | 0.331660i | \(-0.892391\pi\) |
0.966304 | + | 0.257405i | \(0.0828674\pi\) | |||||||
\(692\) | 1.08741 | − | 4.76427i | 0.0413373 | − | 0.181110i | ||||
\(693\) | 2.36209 | − | 19.4607i | 0.0897282 | − | 0.739250i | ||||
\(694\) | −7.65994 | − | 33.5604i | −0.290767 | − | 1.27394i | ||||
\(695\) | 2.86057 | + | 0.214370i | 0.108508 | + | 0.00813152i | ||||
\(696\) | −2.40232 | − | 23.3595i | −0.0910597 | − | 0.885438i | ||||
\(697\) | −1.67382 | − | 22.3356i | −0.0634006 | − | 0.846022i | ||||
\(698\) | −12.1748 | − | 1.83506i | −0.460824 | − | 0.0694581i | ||||
\(699\) | −37.5610 | + | 15.9550i | −1.42069 | + | 0.603473i | ||||
\(700\) | 9.71937 | + | 1.72999i | 0.367358 | + | 0.0653874i | ||||
\(701\) | 9.45147 | + | 19.6262i | 0.356977 | + | 0.741271i | 0.999692 | − | 0.0248351i | \(-0.00790607\pi\) |
−0.642714 | + | 0.766106i | \(0.722192\pi\) | |||||||
\(702\) | −7.84862 | − | 8.32016i | −0.296227 | − | 0.314024i | ||||
\(703\) | −5.78126 | − | 4.61040i | −0.218044 | − | 0.173884i | ||||
\(704\) | 17.4943 | + | 10.1004i | 0.659343 | + | 0.380672i | ||||
\(705\) | −3.64149 | − | 3.19587i | −0.137146 | − | 0.120364i | ||||
\(706\) | −3.44386 | + | 22.8485i | −0.129611 | + | 0.859916i | ||||
\(707\) | 2.22034 | + | 0.0589628i | 0.0835046 | + | 0.00221752i | ||||
\(708\) | −12.4269 | − | 7.97783i | −0.467031 | − | 0.299825i | ||||
\(709\) | −39.1214 | + | 5.89660i | −1.46923 | + | 0.221451i | −0.834384 | − | 0.551184i | \(-0.814176\pi\) |
−0.634850 | + | 0.772636i | \(0.718938\pi\) | |||||||
\(710\) | −5.53516 | + | 2.66559i | −0.207731 | + | 0.100038i | ||||
\(711\) | 14.3410 | − | 0.794768i | 0.537830 | − | 0.0298061i | ||||
\(712\) | 16.4423 | − | 13.1123i | 0.616202 | − | 0.491405i | ||||
\(713\) | 23.5835 | − | 3.55464i | 0.883208 | − | 0.133122i | ||||
\(714\) | 2.84922 | − | 9.27420i | 0.106629 | − | 0.347078i | ||||
\(715\) | −2.51195 | − | 0.378616i | −0.0939418 | − | 0.0141594i | ||||
\(716\) | −2.28099 | + | 1.31693i | −0.0852447 | + | 0.0492161i | ||||
\(717\) | 7.51736 | + | 1.49818i | 0.280741 | + | 0.0559504i | ||||
\(718\) | −1.65065 | − | 4.20578i | −0.0616017 | − | 0.156958i | ||||
\(719\) | 11.1394 | − | 48.8048i | 0.415429 | − | 1.82011i | −0.141975 | − | 0.989870i | \(-0.545345\pi\) |
0.557403 | − | 0.830242i | \(-0.311798\pi\) | |||||||
\(720\) | 1.52261 | + | 2.32927i | 0.0567442 | + | 0.0868066i | ||||
\(721\) | 28.9471 | + | 17.7535i | 1.07805 | + | 0.661175i | ||||
\(722\) | 6.69315 | + | 9.81705i | 0.249093 | + | 0.365353i | ||||
\(723\) | 28.4357 | + | 10.2613i | 1.05753 | + | 0.381623i | ||||
\(724\) | −4.67974 | + | 0.350698i | −0.173921 | + | 0.0130336i | ||||
\(725\) | 6.16534 | + | 19.9875i | 0.228975 | + | 0.742319i | ||||
\(726\) | 2.50592 | − | 9.00136i | 0.0930032 | − | 0.334072i | ||||
\(727\) | 14.2961 | − | 46.3467i | 0.530212 | − | 1.71891i | −0.152579 | − | 0.988291i | \(-0.548758\pi\) |
0.682791 | − | 0.730614i | \(-0.260766\pi\) | |||||||
\(728\) | −13.6536 | + | 8.78718i | −0.506036 | + | 0.325675i | ||||
\(729\) | 26.6285 | − | 4.46378i | 0.986239 | − | 0.165325i | ||||
\(730\) | 1.84487 | + | 8.08292i | 0.0682819 | + | 0.299162i | ||||
\(731\) | −9.87524 | + | 1.48845i | −0.365249 | + | 0.0550524i | ||||
\(732\) | −8.17631 | − | 4.42349i | −0.302205 | − | 0.163497i | ||||
\(733\) | 14.7602 | − | 1.10613i | 0.545181 | − | 0.0408557i | 0.200707 | − | 0.979651i | \(-0.435676\pi\) |
0.344474 | + | 0.938796i | \(0.388057\pi\) | |||||||
\(734\) | 7.74437 | + | 13.4136i | 0.285850 | + | 0.495106i | ||||
\(735\) | −4.46277 | − | 4.35708i | −0.164612 | − | 0.160713i | ||||
\(736\) | −4.78564 | + | 8.28897i | −0.176401 | + | 0.305535i | ||||
\(737\) | 0.932793 | − | 1.93696i | 0.0343599 | − | 0.0713490i | ||||
\(738\) | 13.3553 | + | 36.0751i | 0.491614 | + | 1.32794i | ||||
\(739\) | 22.5042 | + | 28.2194i | 0.827831 | + | 1.03807i | 0.998607 | + | 0.0527570i | \(0.0168009\pi\) |
−0.170777 | + | 0.985310i | \(0.554628\pi\) | |||||||
\(740\) | 0.524743 | + | 0.161862i | 0.0192899 | + | 0.00595016i | ||||
\(741\) | 17.2511 | + | 7.72701i | 0.633735 | + | 0.283859i | ||||
\(742\) | 24.7047 | + | 0.656051i | 0.906939 | + | 0.0240844i | ||||
\(743\) | −9.59690 | − | 10.3430i | −0.352076 | − | 0.379448i | 0.532037 | − | 0.846721i | \(-0.321427\pi\) |
−0.884113 | + | 0.467273i | \(0.845236\pi\) | |||||||
\(744\) | −13.7236 | − | 53.2832i | −0.503132 | − | 1.95346i | ||||
\(745\) | −7.20561 | + | 7.76580i | −0.263993 | + | 0.284517i | ||||
\(746\) | 2.36820 | − | 4.91762i | 0.0867061 | − | 0.180047i | ||||
\(747\) | −29.2951 | + | 16.1626i | −1.07185 | + | 0.591359i | ||||
\(748\) | 1.62383 | − | 3.37191i | 0.0593730 | − | 0.123289i | ||||
\(749\) | −8.67140 | − | 9.85796i | −0.316846 | − | 0.360202i | ||||
\(750\) | −6.68670 | − | 6.81795i | −0.244164 | − | 0.248956i | ||||
\(751\) | 17.6014 | − | 5.42931i | 0.642284 | − | 0.198118i | 0.0435309 | − | 0.999052i | \(-0.486139\pi\) |
0.598753 | + | 0.800934i | \(0.295663\pi\) | |||||||
\(752\) | 9.69559 | + | 1.46138i | 0.353562 | + | 0.0532909i | ||||
\(753\) | −13.0182 | − | 11.4251i | −0.474409 | − | 0.416355i | ||||
\(754\) | −8.42049 | − | 4.86157i | −0.306656 | − | 0.177048i | ||||
\(755\) | 6.17965 | − | 7.74903i | 0.224900 | − | 0.282016i | ||||
\(756\) | 0.198286 | − | 10.8309i | 0.00721159 | − | 0.393918i | ||||
\(757\) | −23.3588 | − | 29.2910i | −0.848989 | − | 1.06460i | −0.997136 | − | 0.0756331i | \(-0.975902\pi\) |
0.148147 | − | 0.988965i | \(-0.452669\pi\) | |||||||
\(758\) | 3.19218 | + | 21.1787i | 0.115945 | + | 0.769246i | ||||
\(759\) | −9.49661 | − | 2.64379i | −0.344705 | − | 0.0959635i | ||||
\(760\) | −7.12068 | − | 4.85480i | −0.258294 | − | 0.176102i | ||||
\(761\) | 3.89489 | − | 9.92401i | 0.141190 | − | 0.359745i | −0.842735 | − | 0.538328i | \(-0.819056\pi\) |
0.983925 | + | 0.178583i | \(0.0571513\pi\) | |||||||
\(762\) | −18.7134 | + | 29.1494i | −0.677915 | + | 1.05597i | ||||
\(763\) | −24.5278 | − | 4.36579i | −0.887965 | − | 0.158052i | ||||
\(764\) | −16.3326 | − | 13.0248i | −0.590894 | − | 0.471222i | ||||
\(765\) | 2.35584 | − | 1.80494i | 0.0851757 | − | 0.0652579i | ||||
\(766\) | − | 15.0468i | − | 0.543663i | ||||||
\(767\) | −20.1387 | + | 7.90386i | −0.727166 | + | 0.285392i | ||||
\(768\) | 24.6439 | + | 11.0383i | 0.889261 | + | 0.398312i | ||||
\(769\) | 5.86525 | − | 8.60274i | 0.211506 | − | 0.310223i | −0.705795 | − | 0.708416i | \(-0.749410\pi\) |
0.917302 | + | 0.398193i | \(0.130363\pi\) | |||||||
\(770\) | 2.22975 | + | 2.95359i | 0.0803546 | + | 0.106440i | ||||
\(771\) | −10.9350 | + | 14.5189i | −0.393814 | + | 0.522886i | ||||
\(772\) | −1.13712 | − | 2.89733i | −0.0409257 | − | 0.104277i | ||||
\(773\) | −16.4810 | − | 7.93683i | −0.592781 | − | 0.285468i | 0.113344 | − | 0.993556i | \(-0.463844\pi\) |
−0.706124 | + | 0.708088i | \(0.749558\pi\) | |||||||
\(774\) | 15.5950 | − | 7.14013i | 0.560549 | − | 0.256647i | ||||
\(775\) | 21.2647 | + | 44.1566i | 0.763851 | + | 1.58615i | ||||
\(776\) | −21.7698 | − | 6.71508i | −0.781489 | − | 0.241057i | ||||
\(777\) | 3.87624 | + | 4.84939i | 0.139059 | + | 0.173971i | ||||
\(778\) | 37.4794 | − | 11.5609i | 1.34370 | − | 0.414477i | ||||
\(779\) | −43.2406 | − | 46.6023i | −1.54926 | − | 1.66970i | ||||
\(780\) | −1.40221 | − | 0.0661189i | −0.0502071 | − | 0.00236744i | ||||
\(781\) | −25.6019 | − | 7.89714i | −0.916108 | − | 0.282582i | ||||
\(782\) | −4.39557 | − | 2.11679i | −0.157185 | − | 0.0756964i | ||||
\(783\) | 20.5964 | − | 10.1287i | 0.736055 | − | 0.361971i | ||||
\(784\) | 12.3638 | + | 2.54102i | 0.441564 | + | 0.0907507i | ||||
\(785\) | −6.43776 | − | 3.71684i | −0.229774 | − | 0.132660i | ||||
\(786\) | −24.1563 | + | 10.2610i | −0.861627 | + | 0.365998i | ||||
\(787\) | 3.96781 | + | 4.27628i | 0.141437 | + | 0.152433i | 0.799798 | − | 0.600270i | \(-0.204940\pi\) |
−0.658360 | + | 0.752703i | \(0.728750\pi\) | |||||||
\(788\) | −7.48776 | − | 2.93873i | −0.266740 | − | 0.104688i | ||||
\(789\) | 14.1784 | − | 8.71782i | 0.504763 | − | 0.310363i | ||||
\(790\) | −1.84425 | + | 1.98763i | −0.0656154 | + | 0.0707166i | ||||
\(791\) | 2.96738 | − | 8.78490i | 0.105508 | − | 0.312355i | ||||
\(792\) | −3.82596 | + | 22.4179i | −0.135950 | + | 0.796586i | ||||
\(793\) | −12.2703 | + | 5.90905i | −0.435730 | + | 0.209837i | ||||
\(794\) | 25.6466 | + | 23.7966i | 0.910163 | + | 0.844508i | ||||
\(795\) | 6.03862 | + | 4.54802i | 0.214168 | + | 0.161302i | ||||
\(796\) | 1.00532 | − | 6.66989i | 0.0356328 | − | 0.236408i | ||||
\(797\) | 3.10183 | + | 41.3910i | 0.109872 | + | 1.46614i | 0.730969 | + | 0.682410i | \(0.239068\pi\) |
−0.621097 | + | 0.783734i | \(0.713313\pi\) | |||||||
\(798\) | −10.0895 | − | 25.6222i | −0.357163 | − | 0.907018i | ||||
\(799\) | 0.781456 | − | 10.4278i | 0.0276459 | − | 0.368909i | ||||
\(800\) | −19.1753 | − | 4.37665i | −0.677951 | − | 0.154738i | ||||
\(801\) | 17.5984 | + | 10.6218i | 0.621809 | + | 0.375301i | ||||
\(802\) | −27.7283 | −0.979120 | ||||||||
\(803\) | −18.0782 | + | 31.3123i | −0.637964 | + | 1.10499i | ||||
\(804\) | 0.403251 | − | 1.11747i | 0.0142216 | − | 0.0394101i | ||||
\(805\) | −2.50312 | + | 1.88968i | −0.0882235 | + | 0.0666026i | ||||
\(806\) | −21.2074 | − | 8.32330i | −0.747000 | − | 0.293176i | ||||
\(807\) | 0.928941 | − | 19.7004i | 0.0327003 | − | 0.693487i | ||||
\(808\) | −2.56953 | − | 0.192559i | −0.0903956 | − | 0.00677422i | ||||
\(809\) | 11.4822 | + | 23.8431i | 0.403693 | + | 0.838277i | 0.999385 | + | 0.0350643i | \(0.0111636\pi\) |
−0.595692 | + | 0.803213i | \(0.703122\pi\) | |||||||
\(810\) | −3.03277 | + | 4.09660i | −0.106561 | + | 0.143940i | ||||
\(811\) | 10.8398 | − | 8.64447i | 0.380638 | − | 0.303548i | −0.414416 | − | 0.910088i | \(-0.636014\pi\) |
0.795054 | + | 0.606539i | \(0.207443\pi\) | |||||||
\(812\) | −2.47976 | − | 8.86855i | −0.0870226 | − | 0.311225i | ||||
\(813\) | −1.72925 | − | 9.65190i | −0.0606475 | − | 0.338507i | ||||
\(814\) | −1.84182 | − | 3.19013i | −0.0645558 | − | 0.111814i | ||||
\(815\) | −0.720069 | − | 1.24720i | −0.0252229 | − | 0.0436874i | ||||
\(816\) | −2.03869 | + | 5.64951i | −0.0713684 | + | 0.197772i | ||||
\(817\) | −19.2798 | + | 20.7787i | −0.674516 | + | 0.726955i | ||||
\(818\) | 13.4275 | − | 6.46634i | 0.469482 | − | 0.226090i | ||||
\(819\) | −12.6876 | − | 9.53324i | −0.443341 | − | 0.333119i | ||||
\(820\) | 4.25359 | + | 2.04842i | 0.148542 | + | 0.0715340i | ||||
\(821\) | 19.2881 | − | 7.57004i | 0.673161 | − | 0.264196i | −0.00404291 | − | 0.999992i | \(-0.501287\pi\) |
0.677204 | + | 0.735796i | \(0.263192\pi\) | |||||||
\(822\) | −10.6185 | + | 14.0987i | −0.370363 | + | 0.491749i | ||||
\(823\) | 6.69467 | − | 2.06503i | 0.233362 | − | 0.0719825i | −0.175869 | − | 0.984414i | \(-0.556273\pi\) |
0.409230 | + | 0.912431i | \(0.365797\pi\) | |||||||
\(824\) | −32.5491 | − | 22.1916i | −1.13390 | − | 0.773080i | ||||
\(825\) | −0.560673 | − | 20.2494i | −0.0195201 | − | 0.704993i | ||||
\(826\) | 29.0220 | + | 12.2891i | 1.00980 | + | 0.427591i | ||||
\(827\) | 47.5094 | + | 10.8437i | 1.65206 | + | 0.377073i | 0.944225 | − | 0.329301i | \(-0.106813\pi\) |
0.707839 | + | 0.706374i | \(0.249670\pi\) | |||||||
\(828\) | −5.36968 | − | 0.916419i | −0.186609 | − | 0.0318478i | ||||
\(829\) | −11.2359 | + | 8.96035i | −0.390240 | + | 0.311206i | −0.798881 | − | 0.601489i | \(-0.794574\pi\) |
0.408641 | + | 0.912695i | \(0.366003\pi\) | |||||||
\(830\) | 1.86172 | − | 6.03555i | 0.0646212 | − | 0.209497i | ||||
\(831\) | −1.01752 | − | 0.124673i | −0.0352973 | − | 0.00432484i | ||||
\(832\) | 14.1626 | − | 8.17675i | 0.490998 | − | 0.283478i | ||||
\(833\) | 1.71701 | − | 13.3515i | 0.0594910 | − | 0.462603i | ||||
\(834\) | −7.99195 | − | 7.01396i | −0.276739 | − | 0.242874i | ||||
\(835\) | 1.94661 | − | 1.32717i | 0.0673651 | − | 0.0459287i | ||||
\(836\) | −2.36372 | − | 10.3561i | −0.0817508 | − | 0.358174i | ||||
\(837\) | 44.1832 | − | 30.6602i | 1.52719 | − | 1.05977i | ||||
\(838\) | 12.8805 | − | 2.93990i | 0.444951 | − | 0.101557i | ||||
\(839\) | 9.75617 | + | 9.05240i | 0.336820 | + | 0.312524i | 0.830390 | − | 0.557183i | \(-0.188118\pi\) |
−0.493570 | + | 0.869706i | \(0.664308\pi\) | |||||||
\(840\) | 4.92744 | + | 5.29848i | 0.170013 | + | 0.182815i | ||||
\(841\) | −6.95580 | + | 6.45404i | −0.239855 | + | 0.222553i | ||||
\(842\) | 19.0427 | − | 27.9305i | 0.656255 | − | 0.962549i | ||||
\(843\) | −14.4472 | + | 1.48577i | −0.497588 | + | 0.0511727i | ||||
\(844\) | −12.4091 | + | 8.46041i | −0.427141 | + | 0.291219i | ||||
\(845\) | 2.88735 | − | 3.62062i | 0.0993277 | − | 0.124553i | ||||
\(846\) | 3.65529 | + | 17.5835i | 0.125672 | + | 0.604535i | ||||
\(847\) | 1.31167 | − | 12.8978i | 0.0450696 | − | 0.443172i | ||||
\(848\) | −15.2563 | − | 1.14330i | −0.523903 | − | 0.0392611i | ||||
\(849\) | 6.10413 | − | 13.6279i | 0.209493 | − | 0.467709i | ||||
\(850\) | 1.49422 | − | 9.91352i | 0.0512514 | − | 0.340031i | ||||
\(851\) | 2.70359 | − | 1.56092i | 0.0926778 | − | 0.0535076i | ||||
\(852\) | −14.5196 | − | 2.89370i | −0.497435 | − | 0.0991365i | ||||
\(853\) | 44.0463 | − | 17.2869i | 1.50812 | − | 0.591892i | 0.539839 | − | 0.841768i | \(-0.318485\pi\) |
0.968278 | + | 0.249876i | \(0.0803900\pi\) | |||||||
\(854\) | 18.7967 | + | 6.34918i | 0.643210 | + | 0.217265i | ||||
\(855\) | 2.03366 | − | 8.17432i | 0.0695498 | − | 0.279556i | ||||
\(856\) | 9.49640 | + | 11.9081i | 0.324580 | + | 0.407011i | ||||
\(857\) | −3.48892 | + | 46.5564i | −0.119179 | + | 1.59034i | 0.542177 | + | 0.840264i | \(0.317600\pi\) |
−0.661356 | + | 0.750072i | \(0.730019\pi\) | |||||||
\(858\) | 6.59344 | + | 6.72286i | 0.225096 | + | 0.229515i | ||||
\(859\) | −45.1731 | − | 17.7291i | −1.54129 | − | 0.604911i | −0.565717 | − | 0.824599i | \(-0.691401\pi\) |
−0.975570 | + | 0.219689i | \(0.929496\pi\) | |||||||
\(860\) | 0.769053 | − | 1.95952i | 0.0262245 | − | 0.0668189i | ||||
\(861\) | 26.7393 | + | 46.1930i | 0.911272 | + | 1.57425i | ||||
\(862\) | 7.74885 | + | 19.7438i | 0.263927 | + | 0.672475i | ||||
\(863\) | 43.4872i | 1.48032i | 0.672430 | + | 0.740160i | \(0.265250\pi\) | ||||
−0.672430 | + | 0.740160i | \(0.734750\pi\) | |||||||
\(864\) | −1.43537 | + | 21.5345i | −0.0488322 | + | 0.732620i | ||||
\(865\) | −1.98913 | + | 2.49429i | −0.0676325 | + | 0.0848085i | ||||
\(866\) | 16.1129 | + | 14.9506i | 0.547538 | + | 0.508041i | ||||
\(867\) | −22.1954 | − | 6.17904i | −0.753794 | − | 0.209851i | ||||
\(868\) | −8.84251 | − | 19.6818i | −0.300134 | − | 0.668044i | ||||
\(869\) | −11.7916 | + | 0.883657i | −0.400002 | + | 0.0299760i | ||||
\(870\) | −1.47074 | + | 4.07564i | −0.0498628 | + | 0.138177i | ||||
\(871\) | −0.980418 | − | 1.43801i | −0.0332202 | − | 0.0487251i | ||||
\(872\) | 28.1773 | + | 6.43129i | 0.954204 | + | 0.217791i | ||||
\(873\) | −1.23214 | − | 22.2331i | −0.0417017 | − | 0.752477i | ||||
\(874\) | −13.5001 | + | 3.08130i | −0.456647 | + | 0.104227i | ||||
\(875\) | −10.7458 | − | 7.75205i | −0.363273 | − | 0.262067i | ||||
\(876\) | −8.16732 | + | 18.2341i | −0.275948 | + | 0.616074i | ||||
\(877\) | 27.6731 | − | 25.6769i | 0.934456 | − | 0.867048i | −0.0568828 | − | 0.998381i | \(-0.518116\pi\) |
0.991338 | + | 0.131333i | \(0.0419256\pi\) | |||||||
\(878\) | −13.2399 | + | 33.7347i | −0.446824 | + | 1.13849i | ||||
\(879\) | 5.89300 | − | 0.163168i | 0.198766 | − | 0.00550351i | ||||
\(880\) | −1.29055 | − | 1.89289i | −0.0435044 | − | 0.0638093i | ||||
\(881\) | −8.69224 | −0.292849 | −0.146424 | − | 0.989222i | \(-0.546777\pi\) | ||||
−0.146424 | + | 0.989222i | \(0.546777\pi\) | |||||||
\(882\) | 3.49751 | + | 22.8533i | 0.117767 | + | 0.769511i | ||||
\(883\) | 12.7680 | 0.429678 | 0.214839 | − | 0.976650i | \(-0.431077\pi\) | ||||
0.214839 | + | 0.976650i | \(0.431077\pi\) | |||||||
\(884\) | −1.70673 | − | 2.50332i | −0.0574036 | − | 0.0841957i | ||||
\(885\) | 5.04963 | + | 8.21254i | 0.169741 | + | 0.276061i | ||||
\(886\) | −9.35541 | + | 23.8372i | −0.314301 | + | 0.800826i | ||||
\(887\) | 6.02728 | − | 5.59250i | 0.202376 | − | 0.187778i | −0.572473 | − | 0.819923i | \(-0.694016\pi\) |
0.774850 | + | 0.632146i | \(0.217826\pi\) | |||||||
\(888\) | −4.22026 | − | 5.83612i | −0.141623 | − | 0.195847i | ||||
\(889\) | −18.7404 | + | 44.2576i | −0.628534 | + | 1.48435i | ||||
\(890\) | −3.78315 | + | 0.863478i | −0.126811 | + | 0.0289439i | ||||
\(891\) | −21.8468 | + | 4.10029i | −0.731897 | + | 0.137365i | ||||
\(892\) | 4.68602 | + | 1.06955i | 0.156899 | + | 0.0358113i | ||||
\(893\) | −16.7195 | − | 24.5230i | −0.559496 | − | 0.820630i | ||||
\(894\) | 38.6536 | − | 6.92526i | 1.29277 | − | 0.231615i | ||||
\(895\) | 1.71470 | − | 0.128499i | 0.0573160 | − | 0.00429524i | ||||
\(896\) | −1.78754 | − | 0.458242i | −0.0597176 | − | 0.0153088i | ||||
\(897\) | −5.69753 | + | 5.58785i | −0.190235 | + | 0.186573i | ||||
\(898\) | 4.07612 | + | 3.78209i | 0.136022 | + | 0.126210i | ||||
\(899\) | 28.5038 | − | 35.7427i | 0.950656 | − | 1.19208i | ||||
\(900\) | −1.45292 | − | 11.0993i | −0.0484307 | − | 0.369975i | ||||
\(901\) | 16.3163i | 0.543575i | ||||||||
\(902\) | −11.5701 | − | 29.4803i | −0.385244 | − | 0.981585i | ||||
\(903\) | 19.6477 | − | 13.4282i | 0.653833 | − | 0.446861i | ||||
\(904\) | −3.93000 | + | 10.0135i | −0.130710 | + | 0.333043i | ||||
\(905\) | 2.85193 | + | 1.11930i | 0.0948013 | + | 0.0372068i | ||||
\(906\) | −35.5784 | + | 9.16356i | −1.18201 | + | 0.304439i | ||||
\(907\) | 1.74954 | − | 23.3460i | 0.0580926 | − | 0.775192i | −0.889749 | − | 0.456450i | \(-0.849121\pi\) |
0.947842 | − | 0.318742i | \(-0.103260\pi\) | |||||||
\(908\) | −2.22579 | − | 2.79105i | −0.0738653 | − | 0.0926242i | ||||
\(909\) | −0.695432 | − | 2.42060i | −0.0230660 | − | 0.0802864i | ||||
\(910\) | 2.97328 | − | 0.367721i | 0.0985633 | − | 0.0121898i | ||||
\(911\) | 0.460588 | − | 0.180767i | 0.0152600 | − | 0.00598909i | −0.357699 | − | 0.933837i | \(-0.616439\pi\) |
0.372959 | + | 0.927848i | \(0.378343\pi\) | |||||||
\(912\) | 5.47366 | + | 16.1444i | 0.181251 | + | 0.534596i | ||||
\(913\) | 23.8546 | − | 13.7724i | 0.789471 | − | 0.455801i | ||||
\(914\) | 0.563407 | − | 3.73796i | 0.0186358 | − | 0.123641i | ||||
\(915\) | 3.55626 | + | 4.91788i | 0.117566 | + | 0.162580i | ||||
\(916\) | 7.94947 | + | 0.595730i | 0.262658 | + | 0.0196835i | ||||
\(917\) | −30.6216 | + | 19.7075i | −1.01121 | + | 0.650798i | ||||
\(918\) | −11.0007 | + | 0.0906928i | −0.363076 | + | 0.00299331i | ||||
\(919\) | 21.2508 | − | 26.6476i | 0.700999 | − | 0.879024i | −0.296099 | − | 0.955157i | \(-0.595686\pi\) |
0.997098 | + | 0.0761328i | \(0.0242573\pi\) | |||||||
\(920\) | 3.00623 | − | 2.04961i | 0.0991125 | − | 0.0675737i | ||||
\(921\) | −17.8216 | − | 24.6452i | −0.587243 | − | 0.812087i | ||||
\(922\) | −10.3068 | + | 15.1173i | −0.339437 | + | 0.497862i | ||||
\(923\) | −15.8996 | + | 14.7527i | −0.523343 | + | 0.485592i | ||||
\(924\) | 0.0100943 | + | 8.91828i | 0.000332080 | + | 0.293390i | ||||
\(925\) | 4.70268 | + | 4.36345i | 0.154623 | + | 0.143469i | ||||
\(926\) | 23.3265 | − | 5.32412i | 0.766556 | − | 0.174961i | ||||
\(927\) | 9.29601 | − | 37.3653i | 0.305321 | − | 1.22724i | ||||
\(928\) | 4.08253 | + | 17.8867i | 0.134016 | + | 0.587160i | ||||
\(929\) | −30.4830 | + | 20.7829i | −1.00011 | + | 0.681866i | −0.948492 | − | 0.316801i | \(-0.897391\pi\) |
−0.0516216 | + | 0.998667i | \(0.516439\pi\) | |||||||
\(930\) | −1.98430 | + | 9.95659i | −0.0650679 | + | 0.326489i | ||||
\(931\) | −19.8173 | − | 32.6665i | −0.649487 | − | 1.07060i | ||||
\(932\) | 16.0781 | − | 9.28272i | 0.526657 | − | 0.304065i | ||||
\(933\) | 2.89165 | − | 3.83939i | 0.0946684 | − | 0.125696i | ||||
\(934\) | −0.406578 | + | 1.31809i | −0.0133037 | + | 0.0431294i | ||||
\(935\) | −1.91025 | + | 1.52337i | −0.0624718 | + | 0.0498196i | ||||
\(936\) | 14.1684 | + | 11.7566i | 0.463107 | + | 0.384276i | ||||
\(937\) | −14.1220 | − | 3.22326i | −0.461346 | − | 0.105299i | −0.0144704 | − | 0.999895i | \(-0.504606\pi\) |
−0.446876 | + | 0.894596i | \(0.647463\pi\) | |||||||
\(938\) | −0.444311 | + | 2.49621i | −0.0145073 | + | 0.0815042i | ||||
\(939\) | −48.6751 | + | 29.9288i | −1.58845 | + | 0.976688i | ||||
\(940\) | 1.82115 | + | 1.24164i | 0.0593995 | + | 0.0404979i | ||||
\(941\) | 24.4498 | − | 7.54176i | 0.797041 | − | 0.245854i | 0.130622 | − | 0.991432i | \(-0.458303\pi\) |
0.666419 | + | 0.745578i | \(0.267826\pi\) | |||||||
\(942\) | 10.7731 | + | 25.3620i | 0.351008 | + | 0.826337i | ||||
\(943\) | 24.9841 | − | 9.80554i | 0.813595 | − | 0.319312i | ||||
\(944\) | −17.5784 | − | 8.46533i | −0.572129 | − | 0.275523i | ||||
\(945\) | −3.18459 | + | 6.31452i | −0.103595 | + | 0.205411i | ||||
\(946\) | −12.7222 | + | 6.12668i | −0.413634 | + | 0.199196i | ||||
\(947\) | −31.3629 | + | 33.8012i | −1.01916 | + | 1.09839i | −0.0240396 | + | 0.999711i | \(0.507653\pi\) |
−0.995119 | + | 0.0986809i | \(0.968538\pi\) | |||||||
\(948\) | −6.43180 | + | 1.15233i | −0.208895 | + | 0.0374260i | ||||
\(949\) | 14.6352 | + | 25.3489i | 0.475078 | + | 0.822859i | ||||
\(950\) | −14.2277 | − | 24.6431i | −0.461607 | − | 0.799526i | ||||
\(951\) | −23.1163 | − | 8.34179i | −0.749598 | − | 0.270501i | ||||
\(952\) | −2.73666 | + | 15.3750i | −0.0886956 | + | 0.498307i | ||||
\(953\) | −31.8438 | + | 25.3946i | −1.03152 | + | 0.822611i | −0.984341 | − | 0.176276i | \(-0.943595\pi\) |
−0.0471803 | + | 0.998886i | \(0.515024\pi\) | |||||||
\(954\) | −7.73775 | − | 26.9329i | −0.250519 | − | 0.871986i | ||||
\(955\) | 5.91734 | + | 12.2875i | 0.191481 | + | 0.397614i | ||||
\(956\) | −3.47740 | − | 0.260595i | −0.112467 | − | 0.00842825i | ||||
\(957\) | −16.7911 | + | 8.66665i | −0.542780 | + | 0.280153i | ||||
\(958\) | −10.0797 | − | 3.95600i | −0.325661 | − | 0.127813i | ||||
\(959\) | −11.2076 | + | 21.7744i | −0.361911 | + | 0.703131i | ||||
\(960\) | −4.69968 | − | 5.56970i | −0.151681 | − | 0.179761i | ||||
\(961\) | 38.0592 | − | 65.9205i | 1.22772 | − | 2.12647i | ||||
\(962\) | −2.98209 | −0.0961466 | ||||||||
\(963\) | −7.69266 | + | 12.7454i | −0.247892 | + | 0.410714i | ||||
\(964\) | −13.4080 | − | 3.06030i | −0.431844 | − | 0.0985656i | ||||
\(965\) | −0.151849 | + | 2.02629i | −0.00488820 | + | 0.0652285i | ||||
\(966\) | 11.6257 | − | 0.0131588i | 0.374052 | − | 0.000423378i | ||||
\(967\) | 0.326548 | + | 4.35748i | 0.0105011 | + | 0.140127i | 0.999990 | − | 0.00448192i | \(-0.00142664\pi\) |
−0.989489 | + | 0.144609i | \(0.953808\pi\) | |||||||
\(968\) | −2.24158 | + | 14.8719i | −0.0720470 | + | 0.478001i | ||||
\(969\) | 16.7335 | − | 7.10798i | 0.537558 | − | 0.228341i | ||||
\(970\) | 3.08145 | + | 2.85917i | 0.0989394 | + | 0.0918024i | ||||
\(971\) | 23.2597 | − | 11.2013i | 0.746439 | − | 0.359466i | −0.0216871 | − | 0.999765i | \(-0.506904\pi\) |
0.768126 | + | 0.640299i | \(0.221189\pi\) | |||||||
\(972\) | −11.7773 | + | 3.48893i | −0.377756 | + | 0.111908i | ||||
\(973\) | −12.5767 | − | 7.71340i | −0.403190 | − | 0.247280i | ||||
\(974\) | −2.23165 | + | 2.40514i | −0.0715066 | + | 0.0770658i | ||||
\(975\) | −14.4236 | − | 7.80337i | −0.461926 | − | 0.249908i | ||||
\(976\) | −11.4331 | − | 4.48717i | −0.365966 | − | 0.143631i | ||||
\(977\) | −20.6513 | − | 22.2568i | −0.660693 | − | 0.712058i | 0.310441 | − | 0.950593i | \(-0.399523\pi\) |
−0.971134 | + | 0.238535i | \(0.923333\pi\) | |||||||
\(978\) | −0.649226 | + | 5.29868i | −0.0207600 | + | 0.169433i | ||||
\(979\) | −14.6555 | − | 8.46133i | −0.468390 | − | 0.270425i | ||||
\(980\) | 2.25625 | + | 1.72055i | 0.0720734 | + | 0.0549610i | ||||
\(981\) | 3.66659 | + | 28.0101i | 0.117065 | + | 0.894292i | ||||
\(982\) | 3.61982 | + | 1.74321i | 0.115513 | + | 0.0556281i | ||||
\(983\) | −11.3446 | − | 3.49934i | −0.361836 | − | 0.111612i | 0.108506 | − | 0.994096i | \(-0.465393\pi\) |
−0.470342 | + | 0.882484i | \(0.655869\pi\) | |||||||
\(984\) | −28.3995 | − | 55.0223i | −0.905343 | − | 1.75405i | ||||
\(985\) | 3.57183 | + | 3.84952i | 0.113808 | + | 0.122656i | ||||
\(986\) | −8.93629 | + | 2.75648i | −0.284589 | + | 0.0877842i | ||||
\(987\) | 9.13005 | + | 23.1858i | 0.290613 | + | 0.738012i | ||||
\(988\) | −8.21736 | − | 2.53472i | −0.261429 | − | 0.0806402i | ||||
\(989\) | −5.19228 | − | 10.7819i | −0.165105 | − | 0.342844i | ||||
\(990\) | 2.43077 | − | 3.42050i | 0.0772548 | − | 0.108711i | ||||
\(991\) | 6.07241 | + | 2.92432i | 0.192896 | + | 0.0928940i | 0.527839 | − | 0.849345i | \(-0.323003\pi\) |
−0.334942 | + | 0.942239i | \(0.608717\pi\) | |||||||
\(992\) | 15.7053 | + | 40.0165i | 0.498645 | + | 1.27053i | ||||
\(993\) | −30.8405 | − | 3.77877i | −0.978695 | − | 0.119916i | ||||
\(994\) | 31.5863 | + | 0.838795i | 1.00186 | + | 0.0266050i | ||||
\(995\) | −2.48063 | + | 3.63842i | −0.0786413 | + | 0.115346i | ||||
\(996\) | 12.3341 | − | 8.91915i | 0.390822 | − | 0.282614i | ||||
\(997\) | −32.8819 | + | 12.9052i | −1.04138 | + | 0.408711i | −0.823531 | − | 0.567271i | \(-0.807999\pi\) |
−0.217849 | + | 0.975983i | \(0.569904\pi\) | |||||||
\(998\) | − | 15.5484i | − | 0.492175i | ||||||
\(999\) | 3.91738 | − | 5.84875i | 0.123940 | − | 0.185046i |
(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 | 441.2.bh.a.20.18 | ✓ | 648 | |
9.5 | odd | 6 | inner | 441.2.bh.a.167.18 | yes | 648 | |
49.27 | odd | 14 | inner | 441.2.bh.a.272.18 | yes | 648 | |
441.419 | even | 42 | inner | 441.2.bh.a.419.18 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.bh.a.20.18 | ✓ | 648 | 1.1 | even | 1 | trivial | |
441.2.bh.a.167.18 | yes | 648 | 9.5 | odd | 6 | inner | |
441.2.bh.a.272.18 | yes | 648 | 49.27 | odd | 14 | inner | |
441.2.bh.a.419.18 | yes | 648 | 441.419 | even | 42 | inner |