Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(59,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.r (of order \(10\), degree \(4\), 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: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 179.27 | ||
Character | \(\chi\) | \(=\) | 300.179 |
Dual form | 300.2.r.a.119.27 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.129226 | + | 1.40830i | −0.0913769 | + | 0.995816i | ||||
\(3\) | −1.59388 | + | 0.677902i | −0.920226 | + | 0.391387i | ||||
\(4\) | −1.96660 | − | 0.363979i | −0.983301 | − | 0.181989i | ||||
\(5\) | −1.18493 | + | 1.89629i | −0.529918 | + | 0.848049i | ||||
\(6\) | −0.748716 | − | 2.33226i | −0.305662 | − | 0.952140i | ||||
\(7\) | −2.57099 | −0.971743 | −0.485871 | − | 0.874030i | \(-0.661498\pi\) | ||||
−0.485871 | + | 0.874030i | \(0.661498\pi\) | |||||||
\(8\) | 0.766727 | − | 2.72252i | 0.271079 | − | 0.962557i | ||||
\(9\) | 2.08090 | − | 2.16099i | 0.693633 | − | 0.720329i | ||||
\(10\) | −2.51742 | − | 1.91379i | −0.796079 | − | 0.605193i | ||||
\(11\) | 0.341075 | − | 1.04972i | 0.102838 | − | 0.316503i | −0.886379 | − | 0.462960i | \(-0.846787\pi\) |
0.989217 | + | 0.146458i | \(0.0467872\pi\) | |||||||
\(12\) | 3.38127 | − | 0.753025i | 0.976087 | − | 0.217380i | ||||
\(13\) | 2.85389 | − | 0.927285i | 0.791527 | − | 0.257183i | 0.114773 | − | 0.993392i | \(-0.463386\pi\) |
0.676754 | + | 0.736209i | \(0.263386\pi\) | |||||||
\(14\) | 0.332240 | − | 3.62072i | 0.0887949 | − | 0.967677i | ||||
\(15\) | 0.603138 | − | 3.82573i | 0.155730 | − | 0.987800i | ||||
\(16\) | 3.73504 | + | 1.43160i | 0.933760 | + | 0.357900i | ||||
\(17\) | −2.78530 | + | 2.02364i | −0.675536 | + | 0.490805i | −0.871874 | − | 0.489731i | \(-0.837095\pi\) |
0.196338 | + | 0.980536i | \(0.437095\pi\) | |||||||
\(18\) | 2.77440 | + | 3.20978i | 0.653933 | + | 0.756552i | ||||
\(19\) | −1.92721 | − | 2.65258i | −0.442133 | − | 0.608544i | 0.528551 | − | 0.848901i | \(-0.322735\pi\) |
−0.970684 | + | 0.240357i | \(0.922735\pi\) | |||||||
\(20\) | 3.02050 | − | 3.29796i | 0.675405 | − | 0.737447i | ||||
\(21\) | 4.09785 | − | 1.74288i | 0.894223 | − | 0.380327i | ||||
\(22\) | 1.43424 | + | 0.615986i | 0.305781 | + | 0.131329i | ||||
\(23\) | −4.10907 | − | 1.33512i | −0.856801 | − | 0.278392i | −0.152509 | − | 0.988302i | \(-0.548735\pi\) |
−0.704292 | + | 0.709911i | \(0.748735\pi\) | |||||||
\(24\) | 0.623534 | + | 4.85914i | 0.127278 | + | 0.991867i | ||||
\(25\) | −2.19187 | − | 4.49396i | −0.438373 | − | 0.898793i | ||||
\(26\) | 0.937095 | + | 4.13896i | 0.183779 | + | 0.811716i | ||||
\(27\) | −1.85176 | + | 4.85499i | −0.356372 | + | 0.934344i | ||||
\(28\) | 5.05611 | + | 0.935785i | 0.955515 | + | 0.176847i | ||||
\(29\) | 1.76223 | − | 2.42550i | 0.327238 | − | 0.450404i | −0.613422 | − | 0.789755i | \(-0.710208\pi\) |
0.940660 | + | 0.339351i | \(0.110208\pi\) | |||||||
\(30\) | 5.30983 | + | 1.34378i | 0.969437 | + | 0.245340i | ||||
\(31\) | −4.24092 | − | 5.83713i | −0.761692 | − | 1.04838i | −0.997071 | − | 0.0764758i | \(-0.975633\pi\) |
0.235379 | − | 0.971904i | \(-0.424367\pi\) | |||||||
\(32\) | −2.49879 | + | 5.07504i | −0.441727 | + | 0.897149i | ||||
\(33\) | 0.167975 | + | 1.90434i | 0.0292408 | + | 0.331503i | ||||
\(34\) | −2.48995 | − | 4.18404i | −0.427024 | − | 0.717558i | ||||
\(35\) | 3.04645 | − | 4.87535i | 0.514944 | − | 0.824085i | ||||
\(36\) | −4.87885 | + | 3.49240i | −0.813142 | + | 0.582066i | ||||
\(37\) | −6.09098 | + | 1.97908i | −1.00135 | + | 0.325358i | −0.763405 | − | 0.645920i | \(-0.776474\pi\) |
−0.237945 | + | 0.971279i | \(0.576474\pi\) | |||||||
\(38\) | 3.98467 | − | 2.37131i | 0.646399 | − | 0.384677i | ||||
\(39\) | −3.92015 | + | 3.41264i | −0.627726 | + | 0.546459i | ||||
\(40\) | 4.25419 | + | 4.67995i | 0.672646 | + | 0.739965i | ||||
\(41\) | −1.47132 | + | 0.478062i | −0.229782 | + | 0.0746607i | −0.421645 | − | 0.906761i | \(-0.638547\pi\) |
0.191863 | + | 0.981422i | \(0.438547\pi\) | |||||||
\(42\) | 1.92494 | + | 5.99621i | 0.297025 | + | 0.925235i | ||||
\(43\) | 9.70895 | 1.48060 | 0.740301 | − | 0.672276i | \(-0.234683\pi\) | ||||
0.740301 | + | 0.672276i | \(0.234683\pi\) | |||||||
\(44\) | −1.05283 | + | 1.94024i | −0.158721 | + | 0.292502i | ||||
\(45\) | 1.63214 | + | 6.50662i | 0.243305 | + | 0.969950i | ||||
\(46\) | 2.41124 | − | 5.61426i | 0.355519 | − | 0.827778i | ||||
\(47\) | −6.37987 | + | 8.78114i | −0.930600 | + | 1.28086i | 0.0290253 | + | 0.999579i | \(0.490760\pi\) |
−0.959625 | + | 0.281282i | \(0.909240\pi\) | |||||||
\(48\) | −6.92368 | + | 0.250191i | −0.999348 | + | 0.0361120i | ||||
\(49\) | −0.390011 | −0.0557158 | ||||||||
\(50\) | 6.61208 | − | 2.50606i | 0.935090 | − | 0.354410i | ||||
\(51\) | 3.06761 | − | 5.11360i | 0.429551 | − | 0.716048i | ||||
\(52\) | −5.94998 | + | 0.784845i | −0.825113 | + | 0.108838i | ||||
\(53\) | −10.5402 | − | 7.65790i | −1.44781 | − | 1.05189i | −0.986338 | − | 0.164737i | \(-0.947323\pi\) |
−0.461469 | − | 0.887156i | \(-0.652677\pi\) | |||||||
\(54\) | −6.59798 | − | 3.23523i | −0.897871 | − | 0.440258i | ||||
\(55\) | 1.58643 | + | 1.89063i | 0.213914 | + | 0.254932i | ||||
\(56\) | −1.97125 | + | 6.99958i | −0.263419 | + | 0.935358i | ||||
\(57\) | 4.86993 | + | 2.92143i | 0.645039 | + | 0.386953i | ||||
\(58\) | 3.18810 | + | 2.79518i | 0.418618 | + | 0.367025i | ||||
\(59\) | 3.55958 | + | 10.9552i | 0.463417 | + | 1.42625i | 0.860962 | + | 0.508669i | \(0.169862\pi\) |
−0.397545 | + | 0.917583i | \(0.630138\pi\) | |||||||
\(60\) | −2.57862 | + | 7.30416i | −0.332898 | + | 0.942963i | ||||
\(61\) | 0.600696 | − | 1.84875i | 0.0769113 | − | 0.236709i | −0.905208 | − | 0.424969i | \(-0.860285\pi\) |
0.982119 | + | 0.188261i | \(0.0602849\pi\) | |||||||
\(62\) | 8.76845 | − | 5.21817i | 1.11359 | − | 0.662708i | ||||
\(63\) | −5.34997 | + | 5.55587i | −0.674033 | + | 0.699974i | ||||
\(64\) | −6.82426 | − | 4.17486i | −0.853032 | − | 0.521858i | ||||
\(65\) | −1.62326 | + | 6.51059i | −0.201341 | + | 0.807539i | ||||
\(66\) | −2.70359 | − | 0.00953207i | −0.332788 | − | 0.00117332i | ||||
\(67\) | 1.29088 | − | 0.937878i | 0.157706 | − | 0.114580i | −0.506134 | − | 0.862455i | \(-0.668926\pi\) |
0.663840 | + | 0.747875i | \(0.268926\pi\) | |||||||
\(68\) | 6.21415 | − | 2.96591i | 0.753576 | − | 0.359669i | ||||
\(69\) | 7.45444 | − | 0.657531i | 0.897410 | − | 0.0791574i | ||||
\(70\) | 6.47227 | + | 4.92033i | 0.773584 | + | 0.588092i | ||||
\(71\) | −9.09695 | − | 6.60932i | −1.07961 | − | 0.784382i | −0.101995 | − | 0.994785i | \(-0.532522\pi\) |
−0.977615 | + | 0.210403i | \(0.932522\pi\) | |||||||
\(72\) | −4.28785 | − | 7.32218i | −0.505328 | − | 0.862927i | ||||
\(73\) | −9.87014 | − | 3.20700i | −1.15521 | − | 0.375351i | −0.332108 | − | 0.943241i | \(-0.607760\pi\) |
−0.823104 | + | 0.567890i | \(0.807760\pi\) | |||||||
\(74\) | −2.00001 | − | 8.83365i | −0.232497 | − | 1.02689i | ||||
\(75\) | 6.54004 | + | 5.67696i | 0.755178 | + | 0.655519i | ||||
\(76\) | 2.82458 | + | 5.91803i | 0.324001 | + | 0.678845i | ||||
\(77\) | −0.876900 | + | 2.69882i | −0.0999320 | + | 0.307559i | ||||
\(78\) | −4.29942 | − | 5.96173i | −0.486814 | − | 0.675033i | ||||
\(79\) | −0.915625 | + | 1.26025i | −0.103016 | + | 0.141789i | −0.857413 | − | 0.514629i | \(-0.827929\pi\) |
0.754397 | + | 0.656419i | \(0.227929\pi\) | |||||||
\(80\) | −7.14051 | + | 5.38638i | −0.798333 | + | 0.602216i | ||||
\(81\) | −0.339725 | − | 8.99359i | −0.0377472 | − | 0.999287i | ||||
\(82\) | −0.483119 | − | 2.13384i | −0.0533516 | − | 0.235643i | ||||
\(83\) | 3.91247 | + | 5.38506i | 0.429450 | + | 0.591087i | 0.967827 | − | 0.251617i | \(-0.0809624\pi\) |
−0.538377 | + | 0.842704i | \(0.680962\pi\) | |||||||
\(84\) | −8.69320 | + | 1.93602i | −0.948506 | + | 0.211237i | ||||
\(85\) | −0.537022 | − | 7.67964i | −0.0582482 | − | 0.832974i | ||||
\(86\) | −1.25465 | + | 13.6731i | −0.135293 | + | 1.47441i | ||||
\(87\) | −1.16453 | + | 5.06057i | −0.124850 | + | 0.542550i | ||||
\(88\) | −2.59638 | − | 1.73343i | −0.276775 | − | 0.184785i | ||||
\(89\) | −9.75711 | − | 3.17028i | −1.03425 | − | 0.336049i | −0.257782 | − | 0.966203i | \(-0.582992\pi\) |
−0.776470 | + | 0.630154i | \(0.782992\pi\) | |||||||
\(90\) | −9.37417 | + | 1.45771i | −0.988124 | + | 0.153656i | ||||
\(91\) | −7.33732 | + | 2.38404i | −0.769160 | + | 0.249915i | ||||
\(92\) | 7.59495 | + | 4.12126i | 0.791829 | + | 0.429671i | ||||
\(93\) | 10.7165 | + | 6.42875i | 1.11125 | + | 0.666630i | ||||
\(94\) | −11.5420 | − | 10.1195i | −1.19047 | − | 1.04375i | ||||
\(95\) | 7.31370 | − | 0.511433i | 0.750369 | − | 0.0524719i | ||||
\(96\) | 0.542380 | − | 9.78294i | 0.0553564 | − | 0.998467i | ||||
\(97\) | 5.79317 | − | 7.97361i | 0.588207 | − | 0.809597i | −0.406358 | − | 0.913714i | \(-0.633201\pi\) |
0.994565 | + | 0.104116i | \(0.0332015\pi\) | |||||||
\(98\) | 0.0503997 | − | 0.549251i | 0.00509114 | − | 0.0554827i | ||||
\(99\) | −1.55869 | − | 2.92142i | −0.156654 | − | 0.293614i | ||||
\(100\) | 2.67482 | + | 9.63563i | 0.267482 | + | 0.963563i | ||||
\(101\) | 3.49582i | 0.347847i | 0.984759 | + | 0.173923i | \(0.0556445\pi\) | ||||
−0.984759 | + | 0.173923i | \(0.944355\pi\) | |||||||
\(102\) | 6.80506 | + | 4.98091i | 0.673801 | + | 0.493184i | ||||
\(103\) | 11.4232 | + | 8.29944i | 1.12556 | + | 0.817769i | 0.985043 | − | 0.172309i | \(-0.0551229\pi\) |
0.140519 | + | 0.990078i | \(0.455123\pi\) | |||||||
\(104\) | −0.336401 | − | 8.48076i | −0.0329868 | − | 0.831607i | ||||
\(105\) | −1.55066 | + | 9.83592i | −0.151329 | + | 0.959887i | ||||
\(106\) | 12.1467 | − | 13.8541i | 1.17979 | − | 1.34563i | ||||
\(107\) | − | 17.4584i | − | 1.68777i | −0.536527 | − | 0.843883i | \(-0.680264\pi\) | ||
0.536527 | − | 0.843883i | \(-0.319736\pi\) | |||||||
\(108\) | 5.40879 | − | 8.87384i | 0.520461 | − | 0.853885i | ||||
\(109\) | 5.59363 | + | 17.2154i | 0.535772 | + | 1.64894i | 0.741975 | + | 0.670428i | \(0.233889\pi\) |
−0.206203 | + | 0.978509i | \(0.566111\pi\) | |||||||
\(110\) | −2.86757 | + | 1.98984i | −0.273412 | + | 0.189724i | ||||
\(111\) | 8.36666 | − | 7.28349i | 0.794128 | − | 0.691319i | ||||
\(112\) | −9.60275 | − | 3.68063i | −0.907374 | − | 0.347787i | ||||
\(113\) | −0.317738 | − | 0.977897i | −0.0298903 | − | 0.0919928i | 0.934998 | − | 0.354652i | \(-0.115401\pi\) |
−0.964889 | + | 0.262659i | \(0.915401\pi\) | |||||||
\(114\) | −4.74357 | + | 6.48079i | −0.444276 | + | 0.606981i | ||||
\(115\) | 7.40076 | − | 6.20999i | 0.690124 | − | 0.579084i | ||||
\(116\) | −4.34843 | + | 4.12858i | −0.403741 | + | 0.383329i | ||||
\(117\) | 3.93480 | − | 8.09680i | 0.363773 | − | 0.748550i | ||||
\(118\) | −15.8882 | + | 3.59723i | −1.46263 | + | 0.331152i | ||||
\(119\) | 7.16099 | − | 5.20276i | 0.656447 | − | 0.476937i | ||||
\(120\) | −9.95320 | − | 4.57535i | −0.908599 | − | 0.417670i | ||||
\(121\) | 7.91361 | + | 5.74957i | 0.719419 | + | 0.522688i | ||||
\(122\) | 2.52597 | + | 1.08487i | 0.228690 | + | 0.0982192i | ||||
\(123\) | 2.02103 | − | 1.75938i | 0.182230 | − | 0.158638i | ||||
\(124\) | 6.21561 | + | 13.0229i | 0.558179 | + | 1.16949i | ||||
\(125\) | 11.1191 | + | 1.16862i | 0.994522 | + | 0.104525i | ||||
\(126\) | −7.13296 | − | 8.25231i | −0.635455 | − | 0.735174i | ||||
\(127\) | −4.86314 | + | 14.9672i | −0.431534 | + | 1.32813i | 0.465063 | + | 0.885278i | \(0.346032\pi\) |
−0.896597 | + | 0.442848i | \(0.853968\pi\) | |||||||
\(128\) | 6.76132 | − | 9.07108i | 0.597622 | − | 0.801778i | ||||
\(129\) | −15.4749 | + | 6.58172i | −1.36249 | + | 0.579488i | ||||
\(130\) | −8.95907 | − | 3.12738i | −0.785763 | − | 0.274289i | ||||
\(131\) | 2.32741 | − | 1.69096i | 0.203347 | − | 0.147740i | −0.481452 | − | 0.876473i | \(-0.659890\pi\) |
0.684798 | + | 0.728733i | \(0.259890\pi\) | |||||||
\(132\) | 0.362799 | − | 3.80622i | 0.0315776 | − | 0.331289i | ||||
\(133\) | 4.95485 | + | 6.81976i | 0.429640 | + | 0.591348i | ||||
\(134\) | 1.15399 | + | 1.93914i | 0.0996900 | + | 0.167516i | ||||
\(135\) | −7.01229 | − | 9.26433i | −0.603521 | − | 0.797347i | ||||
\(136\) | 3.37384 | + | 9.13464i | 0.289305 | + | 0.783289i | ||||
\(137\) | 2.15741 | + | 6.63983i | 0.184320 | + | 0.567279i | 0.999936 | − | 0.0113150i | \(-0.00360174\pi\) |
−0.815616 | + | 0.578594i | \(0.803602\pi\) | |||||||
\(138\) | −0.0373128 | + | 10.5830i | −0.00317628 | + | 0.900888i | ||||
\(139\) | 0.828998 | + | 0.269358i | 0.0703147 | + | 0.0228466i | 0.343963 | − | 0.938983i | \(-0.388230\pi\) |
−0.273648 | + | 0.961830i | \(0.588230\pi\) | |||||||
\(140\) | −7.76568 | + | 8.47903i | −0.656320 | + | 0.716609i | ||||
\(141\) | 4.21599 | − | 18.3210i | 0.355050 | − | 1.54291i | ||||
\(142\) | 10.4835 | − | 11.9571i | 0.879752 | − | 1.00342i | ||||
\(143\) | − | 3.31206i | − | 0.276968i | ||||||
\(144\) | 10.8659 | − | 5.09235i | 0.905492 | − | 0.424363i | ||||
\(145\) | 2.51134 | + | 6.21576i | 0.208555 | + | 0.516191i | ||||
\(146\) | 5.79190 | − | 13.4857i | 0.479341 | − | 1.11608i | ||||
\(147\) | 0.621630 | − | 0.264389i | 0.0512711 | − | 0.0218064i | ||||
\(148\) | 12.6989 | − | 1.67507i | 1.04384 | − | 0.137690i | ||||
\(149\) | − | 1.89407i | − | 0.155168i | −0.996986 | − | 0.0775839i | \(-0.975279\pi\) | ||
0.996986 | − | 0.0775839i | \(-0.0247206\pi\) | |||||||
\(150\) | −8.84000 | + | 8.47670i | −0.721783 | + | 0.692120i | ||||
\(151\) | 8.84470i | 0.719771i | 0.932996 | + | 0.359886i | \(0.117184\pi\) | ||||
−0.932996 | + | 0.359886i | \(0.882816\pi\) | |||||||
\(152\) | −8.69936 | + | 3.21308i | −0.705611 | + | 0.260615i | ||||
\(153\) | −1.42287 | + | 10.2300i | −0.115032 | + | 0.827046i | ||||
\(154\) | −3.68742 | − | 1.58369i | −0.297141 | − | 0.127618i | ||||
\(155\) | 16.0941 | − | 1.12543i | 1.29271 | − | 0.0903968i | ||||
\(156\) | 8.95149 | − | 5.28445i | 0.716693 | − | 0.423094i | ||||
\(157\) | − | 4.69192i | − | 0.374456i | −0.982316 | − | 0.187228i | \(-0.940050\pi\) | ||
0.982316 | − | 0.187228i | \(-0.0599503\pi\) | |||||||
\(158\) | −1.65648 | − | 1.45233i | −0.131783 | − | 0.115541i | ||||
\(159\) | 21.9911 | + | 5.06054i | 1.74401 | + | 0.401327i | ||||
\(160\) | −6.66288 | − | 10.7520i | −0.526747 | − | 0.850022i | ||||
\(161\) | 10.5644 | + | 3.43258i | 0.832590 | + | 0.270525i | ||||
\(162\) | 12.7095 | + | 0.683776i | 0.998556 | + | 0.0537225i | ||||
\(163\) | −5.50532 | − | 16.9436i | −0.431210 | − | 1.32713i | −0.896921 | − | 0.442191i | \(-0.854201\pi\) |
0.465711 | − | 0.884937i | \(-0.345799\pi\) | |||||||
\(164\) | 3.06751 | − | 0.404627i | 0.239532 | − | 0.0315960i | ||||
\(165\) | −3.81023 | − | 1.93799i | −0.296626 | − | 0.150872i | ||||
\(166\) | −8.08935 | + | 4.81403i | −0.627856 | + | 0.373641i | ||||
\(167\) | −7.71321 | − | 10.6163i | −0.596866 | − | 0.821516i | 0.398551 | − | 0.917146i | \(-0.369513\pi\) |
−0.995417 | + | 0.0956305i | \(0.969513\pi\) | |||||||
\(168\) | −1.60310 | − | 12.4928i | −0.123682 | − | 0.963840i | ||||
\(169\) | −3.23239 | + | 2.34847i | −0.248645 | + | 0.180651i | ||||
\(170\) | 10.8846 | + | 0.236126i | 0.834812 | + | 0.0181100i | ||||
\(171\) | −9.74253 | − | 1.35507i | −0.745030 | − | 0.103625i | ||||
\(172\) | −19.0936 | − | 3.53385i | −1.45588 | − | 0.269454i | ||||
\(173\) | −2.50417 | + | 7.70704i | −0.190388 | + | 0.585955i | −0.999999 | − | 0.00101136i | \(-0.999678\pi\) |
0.809611 | + | 0.586967i | \(0.199678\pi\) | |||||||
\(174\) | −6.97630 | − | 2.29396i | −0.528872 | − | 0.173905i | ||||
\(175\) | 5.63527 | + | 11.5539i | 0.425986 | + | 0.873396i | ||||
\(176\) | 2.77671 | − | 3.43246i | 0.209302 | − | 0.258732i | ||||
\(177\) | −13.1001 | − | 15.0483i | −0.984665 | − | 1.13110i | ||||
\(178\) | 5.72557 | − | 13.3312i | 0.429150 | − | 0.999218i | ||||
\(179\) | 11.4262 | + | 8.30164i | 0.854036 | + | 0.620493i | 0.926256 | − | 0.376895i | \(-0.123008\pi\) |
−0.0722200 | + | 0.997389i | \(0.523008\pi\) | |||||||
\(180\) | −0.841501 | − | 13.3900i | −0.0627218 | − | 0.998031i | ||||
\(181\) | −20.1066 | + | 14.6083i | −1.49451 | + | 1.08582i | −0.522005 | + | 0.852942i | \(0.674816\pi\) |
−0.972505 | + | 0.232882i | \(0.925184\pi\) | |||||||
\(182\) | −2.40926 | − | 10.6412i | −0.178586 | − | 0.788779i | ||||
\(183\) | 0.295836 | + | 3.35390i | 0.0218688 | + | 0.247927i | ||||
\(184\) | −6.78543 | + | 10.1634i | −0.500228 | + | 0.749254i | ||||
\(185\) | 3.46448 | − | 13.8954i | 0.254714 | − | 1.02161i | ||||
\(186\) | −10.4384 | + | 14.2613i | −0.765384 | + | 1.04569i | ||||
\(187\) | 1.17426 | + | 3.61400i | 0.0858705 | + | 0.264282i | ||||
\(188\) | 15.7428 | − | 14.9469i | 1.14816 | − | 1.09011i | ||||
\(189\) | 4.76086 | − | 12.4821i | 0.346302 | − | 0.907942i | ||||
\(190\) | −0.224874 | + | 10.3659i | −0.0163141 | + | 0.752025i | ||||
\(191\) | −4.61987 | − | 14.2185i | −0.334282 | − | 1.02881i | −0.967075 | − | 0.254493i | \(-0.918091\pi\) |
0.632792 | − | 0.774322i | \(-0.281909\pi\) | |||||||
\(192\) | 13.7072 | + | 2.02805i | 0.989231 | + | 0.146362i | ||||
\(193\) | − | 16.1589i | − | 1.16314i | −0.813495 | − | 0.581572i | \(-0.802438\pi\) | ||
0.813495 | − | 0.581572i | \(-0.197562\pi\) | |||||||
\(194\) | 10.4806 | + | 9.18890i | 0.752462 | + | 0.659725i | ||||
\(195\) | −1.82625 | − | 11.4775i | −0.130781 | − | 0.821921i | ||||
\(196\) | 0.766995 | + | 0.141955i | 0.0547854 | + | 0.0101397i | ||||
\(197\) | −20.5862 | − | 14.9567i | −1.46670 | − | 1.06562i | −0.981553 | − | 0.191192i | \(-0.938765\pi\) |
−0.485151 | − | 0.874431i | \(-0.661235\pi\) | |||||||
\(198\) | 4.31565 | − | 1.81757i | 0.306700 | − | 0.129169i | ||||
\(199\) | − | 7.88619i | − | 0.559037i | −0.960140 | − | 0.279518i | \(-0.909825\pi\) | ||
0.960140 | − | 0.279518i | \(-0.0901748\pi\) | |||||||
\(200\) | −13.9155 | + | 2.52176i | −0.983973 | + | 0.178316i | ||||
\(201\) | −1.42171 | + | 2.36995i | −0.100280 | + | 0.167164i | ||||
\(202\) | −4.92315 | − | 0.451752i | −0.346392 | − | 0.0317852i | ||||
\(203\) | −4.53067 | + | 6.23593i | −0.317991 | + | 0.437677i | ||||
\(204\) | −7.89400 | + | 8.93987i | −0.552691 | + | 0.625916i | ||||
\(205\) | 0.836873 | − | 3.35653i | 0.0584497 | − | 0.234430i | ||||
\(206\) | −13.1643 | + | 15.0148i | −0.917198 | + | 1.04613i | ||||
\(207\) | −11.4357 | + | 6.10141i | −0.794839 | + | 0.424077i | ||||
\(208\) | 11.9869 | + | 0.622186i | 0.831142 | + | 0.0431409i | ||||
\(209\) | −3.44179 | + | 1.11831i | −0.238074 | + | 0.0773549i | ||||
\(210\) | −13.6515 | − | 3.45485i | −0.942044 | − | 0.238408i | ||||
\(211\) | −4.87585 | − | 1.58426i | −0.335667 | − | 0.109065i | 0.136334 | − | 0.990663i | \(-0.456468\pi\) |
−0.472001 | + | 0.881598i | \(0.656468\pi\) | |||||||
\(212\) | 17.9410 | + | 18.8964i | 1.23220 | + | 1.29781i | ||||
\(213\) | 18.9799 | + | 4.36762i | 1.30048 | + | 0.299264i | ||||
\(214\) | 24.5866 | + | 2.25609i | 1.68070 | + | 0.154223i | ||||
\(215\) | −11.5045 | + | 18.4110i | −0.784598 | + | 1.25562i | ||||
\(216\) | 11.7980 | + | 8.76392i | 0.802755 | + | 0.596309i | ||||
\(217\) | 10.9034 | + | 15.0072i | 0.740169 | + | 1.01876i | ||||
\(218\) | −24.9673 | + | 5.65280i | −1.69100 | + | 0.382856i | ||||
\(219\) | 17.9058 | − | 1.57941i | 1.20996 | − | 0.106727i | ||||
\(220\) | −2.43172 | − | 4.29553i | −0.163947 | − | 0.289605i | ||||
\(221\) | −6.07246 | + | 8.35803i | −0.408478 | + | 0.562222i | ||||
\(222\) | 9.17613 | + | 12.7240i | 0.615861 | + | 0.853976i | ||||
\(223\) | −4.40201 | + | 13.5480i | −0.294780 | + | 0.907240i | 0.688515 | + | 0.725222i | \(0.258263\pi\) |
−0.983295 | + | 0.182018i | \(0.941737\pi\) | |||||||
\(224\) | 6.42435 | − | 13.0479i | 0.429245 | − | 0.871799i | ||||
\(225\) | −14.2724 | − | 4.61489i | −0.951497 | − | 0.307659i | ||||
\(226\) | 1.41823 | − | 0.321099i | 0.0943392 | − | 0.0213592i | ||||
\(227\) | −10.7472 | − | 3.49199i | −0.713319 | − | 0.231771i | −0.0701948 | − | 0.997533i | \(-0.522362\pi\) |
−0.643124 | + | 0.765762i | \(0.722362\pi\) | |||||||
\(228\) | −8.51388 | − | 7.51784i | −0.563845 | − | 0.497881i | ||||
\(229\) | 1.07109 | + | 0.778193i | 0.0707797 | + | 0.0514245i | 0.622612 | − | 0.782530i | \(-0.286071\pi\) |
−0.551833 | + | 0.833955i | \(0.686071\pi\) | |||||||
\(230\) | 7.78913 | + | 11.2250i | 0.513600 | + | 0.740152i | ||||
\(231\) | −0.431863 | − | 4.89604i | −0.0284145 | − | 0.322136i | ||||
\(232\) | −5.25233 | − | 6.65740i | −0.344832 | − | 0.437080i | ||||
\(233\) | 1.96994 | − | 1.43124i | 0.129055 | − | 0.0937639i | −0.521385 | − | 0.853321i | \(-0.674584\pi\) |
0.650440 | + | 0.759558i | \(0.274584\pi\) | |||||||
\(234\) | 10.8942 | + | 6.58770i | 0.712178 | + | 0.430651i | ||||
\(235\) | −9.09191 | − | 22.5032i | −0.593091 | − | 1.46795i | ||||
\(236\) | −3.01279 | − | 22.8402i | −0.196116 | − | 1.48677i | ||||
\(237\) | 0.605070 | − | 2.62939i | 0.0393035 | − | 0.170797i | ||||
\(238\) | 6.40165 | + | 10.7571i | 0.414957 | + | 0.697282i | ||||
\(239\) | −3.38732 | + | 10.4251i | −0.219108 | + | 0.674344i | 0.779729 | + | 0.626117i | \(0.215357\pi\) |
−0.998836 | + | 0.0482265i | \(0.984643\pi\) | |||||||
\(240\) | 7.72967 | − | 13.4258i | 0.498948 | − | 0.866632i | ||||
\(241\) | −0.276512 | − | 0.851015i | −0.0178117 | − | 0.0548187i | 0.941756 | − | 0.336298i | \(-0.109175\pi\) |
−0.959567 | + | 0.281479i | \(0.909175\pi\) | |||||||
\(242\) | −9.11975 | + | 10.4017i | −0.586240 | + | 0.668647i | ||||
\(243\) | 6.63825 | + | 14.1044i | 0.425844 | + | 0.904797i | ||||
\(244\) | −1.85424 | + | 3.41712i | −0.118705 | + | 0.218759i | ||||
\(245\) | 0.462136 | − | 0.739575i | 0.0295248 | − | 0.0472497i | ||||
\(246\) | 2.21656 | + | 3.07357i | 0.141323 | + | 0.195964i | ||||
\(247\) | −7.95976 | − | 5.78310i | −0.506467 | − | 0.367970i | ||||
\(248\) | −19.1433 | + | 7.07052i | −1.21560 | + | 0.448979i | ||||
\(249\) | −9.88655 | − | 5.93085i | −0.626534 | − | 0.375853i | ||||
\(250\) | −3.08265 | + | 15.5080i | −0.194964 | + | 0.980810i | ||||
\(251\) | 4.05849 | 0.256170 | 0.128085 | − | 0.991763i | \(-0.459117\pi\) | ||||
0.128085 | + | 0.991763i | \(0.459117\pi\) | |||||||
\(252\) | 12.5435 | − | 8.97891i | 0.790165 | − | 0.565618i | ||||
\(253\) | −2.80300 | + | 3.85800i | −0.176223 | + | 0.242550i | ||||
\(254\) | −20.4498 | − | 8.78291i | −1.28314 | − | 0.551089i | ||||
\(255\) | 6.06199 | + | 11.8764i | 0.379617 | + | 0.743727i | ||||
\(256\) | 11.9010 | + | 10.6942i | 0.743815 | + | 0.668386i | ||||
\(257\) | 3.37445 | 0.210493 | 0.105246 | − | 0.994446i | \(-0.466437\pi\) | ||||
0.105246 | + | 0.994446i | \(0.466437\pi\) | |||||||
\(258\) | −7.26925 | − | 22.6438i | −0.452563 | − | 1.40974i | ||||
\(259\) | 15.6598 | − | 5.08819i | 0.973055 | − | 0.316165i | ||||
\(260\) | 5.56203 | − | 12.2129i | 0.344942 | − | 0.757412i | ||||
\(261\) | −1.57445 | − | 8.85537i | −0.0974562 | − | 0.548133i | ||||
\(262\) | 2.08062 | + | 3.49620i | 0.128541 | + | 0.215996i | ||||
\(263\) | −17.6099 | + | 5.72179i | −1.08587 | + | 0.352821i | −0.796649 | − | 0.604442i | \(-0.793396\pi\) |
−0.289221 | + | 0.957262i | \(0.593396\pi\) | |||||||
\(264\) | 5.31341 | + | 1.00279i | 0.327017 | + | 0.0617176i | ||||
\(265\) | 27.0111 | − | 10.9132i | 1.65928 | − | 0.670393i | ||||
\(266\) | −10.2445 | + | 6.09660i | −0.628133 | + | 0.373807i | ||||
\(267\) | 17.7008 | − | 1.56133i | 1.08327 | − | 0.0955516i | ||||
\(268\) | −2.88001 | + | 1.37458i | −0.175925 | + | 0.0839658i | ||||
\(269\) | 8.22156 | + | 11.3160i | 0.501278 | + | 0.689949i | 0.982418 | − | 0.186694i | \(-0.0597773\pi\) |
−0.481140 | + | 0.876644i | \(0.659777\pi\) | |||||||
\(270\) | 13.9531 | − | 8.67818i | 0.849159 | − | 0.528137i | ||||
\(271\) | 1.77357 | − | 2.44111i | 0.107737 | − | 0.148287i | −0.751744 | − | 0.659455i | \(-0.770787\pi\) |
0.859481 | + | 0.511168i | \(0.170787\pi\) | |||||||
\(272\) | −13.3003 | + | 3.57094i | −0.806447 | + | 0.216520i | ||||
\(273\) | 10.0787 | − | 8.77386i | 0.609988 | − | 0.531018i | ||||
\(274\) | −9.62964 | + | 2.18023i | −0.581748 | + | 0.131713i | ||||
\(275\) | −5.46500 | + | 0.768069i | −0.329552 | + | 0.0463163i | ||||
\(276\) | −14.8992 | − | 1.42016i | −0.896829 | − | 0.0854834i | ||||
\(277\) | 15.8065 | + | 5.13586i | 0.949723 | + | 0.308584i | 0.742603 | − | 0.669732i | \(-0.233591\pi\) |
0.207120 | + | 0.978316i | \(0.433591\pi\) | |||||||
\(278\) | −0.486464 | + | 1.13267i | −0.0291762 | + | 0.0679328i | ||||
\(279\) | −21.4389 | − | 2.98190i | −1.28351 | − | 0.178521i | ||||
\(280\) | −10.9375 | − | 12.0321i | −0.653639 | − | 0.719055i | ||||
\(281\) | 8.41043 | + | 11.5760i | 0.501724 | + | 0.690564i | 0.982496 | − | 0.186282i | \(-0.0596437\pi\) |
−0.480772 | + | 0.876845i | \(0.659644\pi\) | |||||||
\(282\) | 25.2566 | + | 8.30492i | 1.50401 | + | 0.494551i | ||||
\(283\) | −23.9062 | + | 17.3689i | −1.42108 | + | 1.03247i | −0.429486 | + | 0.903074i | \(0.641305\pi\) |
−0.991592 | + | 0.129400i | \(0.958695\pi\) | |||||||
\(284\) | 15.4844 | + | 16.3090i | 0.918831 | + | 0.967761i | ||||
\(285\) | −11.3104 | + | 5.77313i | −0.669973 | + | 0.341971i | ||||
\(286\) | 4.66436 | + | 0.428006i | 0.275810 | + | 0.0253085i | ||||
\(287\) | 3.78275 | − | 1.22909i | 0.223289 | − | 0.0725510i | ||||
\(288\) | 5.76738 | + | 15.9605i | 0.339846 | + | 0.940481i | ||||
\(289\) | −1.59049 | + | 4.89504i | −0.0935585 | + | 0.287944i | ||||
\(290\) | −9.07816 | + | 2.73347i | −0.533088 | + | 0.160515i | ||||
\(291\) | −3.82828 | + | 16.6362i | −0.224418 | + | 0.975229i | ||||
\(292\) | 18.2433 | + | 9.89942i | 1.06761 | + | 0.579319i | ||||
\(293\) | −0.613813 | −0.0358593 | −0.0179297 | − | 0.999839i | \(-0.505707\pi\) | ||||
−0.0179297 | + | 0.999839i | \(0.505707\pi\) | |||||||
\(294\) | 0.292007 | + | 0.909605i | 0.0170302 | + | 0.0530492i | ||||
\(295\) | −24.9922 | − | 6.23123i | −1.45510 | − | 0.362796i | ||||
\(296\) | 0.717970 | + | 18.1002i | 0.0417312 | + | 1.05205i | ||||
\(297\) | 4.46480 | + | 3.59975i | 0.259074 | + | 0.208879i | ||||
\(298\) | 2.66741 | + | 0.244763i | 0.154519 | + | 0.0141788i | ||||
\(299\) | −12.9649 | −0.749778 | ||||||||
\(300\) | −10.7953 | − | 13.5448i | −0.623270 | − | 0.782007i | ||||
\(301\) | −24.9616 | −1.43876 | ||||||||
\(302\) | −12.4560 | − | 1.14297i | −0.716760 | − | 0.0657705i | ||||
\(303\) | −2.36982 | − | 5.57191i | −0.136143 | − | 0.320098i | ||||
\(304\) | −3.40078 | − | 12.6665i | −0.195048 | − | 0.726474i | ||||
\(305\) | 2.79400 | + | 3.32975i | 0.159984 | + | 0.190661i | ||||
\(306\) | −14.2230 | − | 3.32581i | −0.813075 | − | 0.190124i | ||||
\(307\) | 14.6167 | 0.834219 | 0.417109 | − | 0.908856i | \(-0.363043\pi\) | ||||
0.417109 | + | 0.908856i | \(0.363043\pi\) | |||||||
\(308\) | 2.70682 | − | 4.98833i | 0.154236 | − | 0.284236i | ||||
\(309\) | −23.8334 | − | 5.48450i | −1.35584 | − | 0.312002i | ||||
\(310\) | −0.494846 | + | 22.8107i | −0.0281054 | + | 1.29556i | ||||
\(311\) | −2.17174 | + | 6.68393i | −0.123148 | + | 0.379011i | −0.993559 | − | 0.113315i | \(-0.963853\pi\) |
0.870411 | + | 0.492326i | \(0.163853\pi\) | |||||||
\(312\) | 6.28530 | + | 13.2892i | 0.355835 | + | 0.752356i | ||||
\(313\) | −8.47040 | + | 2.75220i | −0.478775 | + | 0.155564i | −0.538455 | − | 0.842654i | \(-0.680992\pi\) |
0.0596800 | + | 0.998218i | \(0.480992\pi\) | |||||||
\(314\) | 6.60762 | + | 0.606321i | 0.372890 | + | 0.0342167i | ||||
\(315\) | −4.19622 | − | 16.7285i | −0.236430 | − | 0.942542i | ||||
\(316\) | 2.25937 | − | 2.14514i | 0.127100 | − | 0.120674i | ||||
\(317\) | −2.49215 | + | 1.81065i | −0.139973 | + | 0.101696i | −0.655568 | − | 0.755136i | \(-0.727571\pi\) |
0.515595 | + | 0.856832i | \(0.327571\pi\) | |||||||
\(318\) | −9.96858 | + | 30.3160i | −0.559010 | + | 1.70004i | ||||
\(319\) | −1.94504 | − | 2.67712i | −0.108902 | − | 0.149890i | ||||
\(320\) | 16.0031 | − | 7.99387i | 0.894598 | − | 0.446871i | ||||
\(321\) | 11.8351 | + | 27.8265i | 0.660569 | + | 1.55313i | ||||
\(322\) | −6.19929 | + | 14.4342i | −0.345473 | + | 0.804387i | ||||
\(323\) | 10.7358 | + | 3.48826i | 0.597353 | + | 0.194092i | ||||
\(324\) | −2.60537 | + | 17.8104i | −0.144743 | + | 0.989469i | ||||
\(325\) | −10.4225 | − | 10.7928i | −0.578138 | − | 0.598677i | ||||
\(326\) | 24.5731 | − | 5.56356i | 1.36098 | − | 0.308137i | ||||
\(327\) | −20.5859 | − | 23.6473i | −1.13840 | − | 1.30770i | ||||
\(328\) | 0.173431 | + | 4.37225i | 0.00957614 | + | 0.241417i | ||||
\(329\) | 16.4026 | − | 22.5762i | 0.904304 | − | 1.24467i | ||||
\(330\) | 3.22164 | − | 5.11550i | 0.177346 | − | 0.281599i | ||||
\(331\) | −2.71648 | − | 3.73892i | −0.149311 | − | 0.205510i | 0.727809 | − | 0.685780i | \(-0.240539\pi\) |
−0.877121 | + | 0.480270i | \(0.840539\pi\) | |||||||
\(332\) | −5.73423 | − | 12.0143i | −0.314707 | − | 0.659371i | ||||
\(333\) | −8.39794 | + | 17.2808i | −0.460204 | + | 0.946981i | ||||
\(334\) | 15.9477 | − | 9.49058i | 0.872619 | − | 0.519301i | ||||
\(335\) | 0.248888 | + | 3.55921i | 0.0135982 | + | 0.194460i | ||||
\(336\) | 17.8007 | − | 0.643239i | 0.971109 | − | 0.0350916i | ||||
\(337\) | 21.9091 | − | 7.11871i | 1.19347 | − | 0.387781i | 0.356114 | − | 0.934443i | \(-0.384102\pi\) |
0.837354 | + | 0.546662i | \(0.184102\pi\) | |||||||
\(338\) | −2.88963 | − | 4.85565i | −0.157175 | − | 0.264112i | ||||
\(339\) | 1.16935 | + | 1.34325i | 0.0635106 | + | 0.0729555i | ||||
\(340\) | −1.73912 | + | 15.2983i | −0.0943168 | + | 0.829664i | ||||
\(341\) | −7.57382 | + | 2.46088i | −0.410146 | + | 0.133264i | ||||
\(342\) | 3.16733 | − | 13.5453i | 0.171270 | − | 0.732444i | ||||
\(343\) | 18.9996 | 1.02588 | ||||||||
\(344\) | 7.44411 | − | 26.4328i | 0.401360 | − | 1.42516i | ||||
\(345\) | −7.58614 | + | 14.9150i | −0.408424 | + | 0.802994i | ||||
\(346\) | −10.5302 | − | 4.52257i | −0.566107 | − | 0.243135i | ||||
\(347\) | −8.75552 | + | 12.0509i | −0.470021 | + | 0.646928i | −0.976549 | − | 0.215295i | \(-0.930929\pi\) |
0.506528 | + | 0.862224i | \(0.330929\pi\) | |||||||
\(348\) | 4.13210 | − | 9.52826i | 0.221504 | − | 0.510768i | ||||
\(349\) | 14.8560 | 0.795226 | 0.397613 | − | 0.917553i | \(-0.369839\pi\) | ||||
0.397613 | + | 0.917553i | \(0.369839\pi\) | |||||||
\(350\) | −16.9996 | + | 6.44306i | −0.908667 | + | 0.344396i | ||||
\(351\) | −0.782762 | + | 15.5727i | −0.0417808 | + | 0.831211i | ||||
\(352\) | 4.47510 | + | 4.35400i | 0.238524 | + | 0.232069i | ||||
\(353\) | 8.40220 | + | 6.10456i | 0.447204 | + | 0.324913i | 0.788491 | − | 0.615046i | \(-0.210863\pi\) |
−0.341287 | + | 0.939959i | \(0.610863\pi\) | |||||||
\(354\) | 22.8854 | − | 16.5042i | 1.21634 | − | 0.877189i | ||||
\(355\) | 23.3125 | − | 9.41889i | 1.23730 | − | 0.499903i | ||||
\(356\) | 18.0344 | + | 9.78605i | 0.955823 | + | 0.518660i | ||||
\(357\) | −7.88679 | + | 13.1470i | −0.417413 | + | 0.695814i | ||||
\(358\) | −13.1677 | + | 15.0187i | −0.695937 | + | 0.793764i | ||||
\(359\) | −1.48956 | − | 4.58440i | −0.0786160 | − | 0.241955i | 0.904023 | − | 0.427484i | \(-0.140600\pi\) |
−0.982639 | + | 0.185529i | \(0.940600\pi\) | |||||||
\(360\) | 18.9658 | + | 0.545258i | 0.999587 | + | 0.0287376i | ||||
\(361\) | 2.54928 | − | 7.84589i | 0.134173 | − | 0.412942i | ||||
\(362\) | −17.9745 | − | 30.2038i | −0.944719 | − | 1.58748i | ||||
\(363\) | −16.5110 | − | 3.79947i | −0.866601 | − | 0.199421i | ||||
\(364\) | 15.2973 | − | 2.01783i | 0.801798 | − | 0.105763i | ||||
\(365\) | 17.7769 | − | 14.9166i | 0.930484 | − | 0.780771i | ||||
\(366\) | −4.76152 | − | 0.0167878i | −0.248889 | − | 0.000877510i | ||||
\(367\) | 10.4183 | − | 7.56936i | 0.543832 | − | 0.395117i | −0.281674 | − | 0.959510i | \(-0.590890\pi\) |
0.825506 | + | 0.564393i | \(0.190890\pi\) | |||||||
\(368\) | −13.4362 | − | 10.8693i | −0.700410 | − | 0.566600i | ||||
\(369\) | −2.02859 | + | 4.17431i | −0.105604 | + | 0.217306i | ||||
\(370\) | 19.1211 | + | 6.67467i | 0.994058 | + | 0.347000i | ||||
\(371\) | 27.0987 | + | 19.6884i | 1.40690 | + | 1.02217i | ||||
\(372\) | −18.7352 | − | 16.5434i | −0.971374 | − | 0.857733i | ||||
\(373\) | −27.0471 | − | 8.78812i | −1.40044 | − | 0.455032i | −0.491109 | − | 0.871098i | \(-0.663409\pi\) |
−0.909334 | + | 0.416066i | \(0.863409\pi\) | |||||||
\(374\) | −5.24134 | + | 1.18668i | −0.271023 | + | 0.0613619i | ||||
\(375\) | −18.5147 | + | 5.67501i | −0.956095 | + | 0.293056i | ||||
\(376\) | 19.0152 | + | 24.1021i | 0.980636 | + | 1.24297i | ||||
\(377\) | 2.78008 | − | 8.55620i | 0.143181 | − | 0.440666i | ||||
\(378\) | 16.9633 | + | 8.31773i | 0.872500 | + | 0.427818i | ||||
\(379\) | −16.6749 | + | 22.9510i | −0.856531 | + | 1.17891i | 0.125855 | + | 0.992049i | \(0.459833\pi\) |
−0.982386 | + | 0.186865i | \(0.940167\pi\) | |||||||
\(380\) | −14.5693 | − | 1.65624i | −0.747388 | − | 0.0849636i | ||||
\(381\) | −2.39504 | − | 27.1527i | −0.122702 | − | 1.39107i | ||||
\(382\) | 20.6209 | − | 4.66874i | 1.05506 | − | 0.238874i | ||||
\(383\) | 9.67456 | + | 13.3159i | 0.494347 | + | 0.680410i | 0.981182 | − | 0.193084i | \(-0.0618488\pi\) |
−0.486835 | + | 0.873494i | \(0.661849\pi\) | |||||||
\(384\) | −4.62742 | + | 19.0417i | −0.236142 | + | 0.971719i | ||||
\(385\) | −4.07869 | − | 4.86078i | −0.207869 | − | 0.247728i | ||||
\(386\) | 22.7566 | + | 2.08816i | 1.15828 | + | 0.106285i | ||||
\(387\) | 20.2033 | − | 20.9809i | 1.02699 | − | 1.06652i | ||||
\(388\) | −14.2951 | + | 13.5723i | −0.725722 | + | 0.689030i | ||||
\(389\) | 7.00832 | + | 2.27714i | 0.355336 | + | 0.115456i | 0.481245 | − | 0.876586i | \(-0.340185\pi\) |
−0.125909 | + | 0.992042i | \(0.540185\pi\) | |||||||
\(390\) | 16.3997 | − | 1.08871i | 0.830433 | − | 0.0551291i | ||||
\(391\) | 14.1468 | − | 4.59658i | 0.715436 | − | 0.232459i | ||||
\(392\) | −0.299032 | + | 1.06181i | −0.0151034 | + | 0.0536296i | ||||
\(393\) | −2.56330 | + | 4.27295i | −0.129302 | + | 0.215542i | ||||
\(394\) | 23.7238 | − | 27.0586i | 1.19519 | − | 1.36319i | ||||
\(395\) | −1.30485 | − | 3.22961i | −0.0656542 | − | 0.162499i | ||||
\(396\) | 2.00199 | + | 6.31259i | 0.100604 | + | 0.317220i | ||||
\(397\) | −12.8771 | + | 17.7238i | −0.646281 | + | 0.889530i | −0.998931 | − | 0.0462254i | \(-0.985281\pi\) |
0.352650 | + | 0.935755i | \(0.385281\pi\) | |||||||
\(398\) | 11.1061 | + | 1.01910i | 0.556698 | + | 0.0510831i | ||||
\(399\) | −12.5206 | − | 7.51097i | −0.626812 | − | 0.376019i | ||||
\(400\) | −1.75314 | − | 19.9230i | −0.0876572 | − | 0.996151i | ||||
\(401\) | − | 19.3256i | − | 0.965074i | −0.875875 | − | 0.482537i | \(-0.839715\pi\) | ||
0.875875 | − | 0.482537i | \(-0.160285\pi\) | |||||||
\(402\) | −3.15387 | − | 2.30846i | −0.157301 | − | 0.115135i | ||||
\(403\) | −17.5158 | − | 12.7260i | −0.872525 | − | 0.633926i | ||||
\(404\) | 1.27240 | − | 6.87488i | 0.0633044 | − | 0.342038i | ||||
\(405\) | 17.4570 | + | 10.0126i | 0.867447 | + | 0.497529i | ||||
\(406\) | −8.19656 | − | 7.18638i | −0.406789 | − | 0.356654i | ||||
\(407\) | 7.06883i | 0.350389i | ||||||||
\(408\) | −11.5699 | − | 12.2724i | −0.572795 | − | 0.607573i | ||||
\(409\) | 3.76500 | + | 11.5875i | 0.186167 | + | 0.572965i | 0.999967 | − | 0.00818176i | \(-0.00260436\pi\) |
−0.813799 | + | 0.581146i | \(0.802604\pi\) | |||||||
\(410\) | 4.61885 | + | 1.61232i | 0.228109 | + | 0.0796267i | ||||
\(411\) | −7.93980 | − | 9.12057i | −0.391641 | − | 0.449884i | ||||
\(412\) | −19.4441 | − | 20.4795i | −0.957940 | − | 1.00895i | ||||
\(413\) | −9.15164 | − | 28.1658i | −0.450323 | − | 1.38595i | ||||
\(414\) | −7.11479 | − | 16.8934i | −0.349673 | − | 0.830264i | ||||
\(415\) | −14.8477 | + | 1.03827i | −0.728844 | + | 0.0509666i | ||||
\(416\) | −2.42525 | + | 16.8007i | −0.118908 | + | 0.823722i | ||||
\(417\) | −1.50392 | + | 0.132656i | −0.0736473 | + | 0.00649617i | ||||
\(418\) | −1.13014 | − | 4.99158i | −0.0552768 | − | 0.244146i | ||||
\(419\) | 30.6972 | − | 22.3028i | 1.49966 | − | 1.08956i | 0.529140 | − | 0.848535i | \(-0.322515\pi\) |
0.970518 | − | 0.241030i | \(-0.0774854\pi\) | |||||||
\(420\) | 6.62960 | − | 18.7789i | 0.323491 | − | 0.916317i | ||||
\(421\) | −6.60544 | − | 4.79913i | −0.321929 | − | 0.233895i | 0.415069 | − | 0.909790i | \(-0.363757\pi\) |
−0.736998 | + | 0.675895i | \(0.763757\pi\) | |||||||
\(422\) | 2.86119 | − | 6.66191i | 0.139281 | − | 0.324297i | ||||
\(423\) | 5.70006 | + | 32.0595i | 0.277146 | + | 1.55878i | ||||
\(424\) | −28.9302 | + | 22.8244i | −1.40498 | + | 1.10845i | ||||
\(425\) | 15.1992 | + | 8.08151i | 0.737269 | + | 0.392011i | ||||
\(426\) | −8.60361 | + | 26.1649i | −0.416846 | + | 1.26770i | ||||
\(427\) | −1.54438 | + | 4.75312i | −0.0747380 | + | 0.230020i | ||||
\(428\) | −6.35448 | + | 34.3337i | −0.307155 | + | 1.65958i | ||||
\(429\) | 2.24525 | + | 5.27902i | 0.108402 | + | 0.254874i | ||||
\(430\) | −24.4415 | − | 18.5809i | −1.17867 | − | 0.896050i | ||||
\(431\) | −4.82714 | + | 3.50712i | −0.232515 | + | 0.168932i | −0.697942 | − | 0.716154i | \(-0.745901\pi\) |
0.465427 | + | 0.885086i | \(0.345901\pi\) | |||||||
\(432\) | −13.8668 | + | 15.4826i | −0.667168 | + | 0.744907i | ||||
\(433\) | −19.9211 | − | 27.4191i | −0.957349 | − | 1.31768i | −0.948185 | − | 0.317719i | \(-0.897083\pi\) |
−0.00916382 | − | 0.999958i | \(-0.502917\pi\) | |||||||
\(434\) | −22.5436 | + | 13.4159i | −1.08213 | + | 0.643982i | ||||
\(435\) | −8.21644 | − | 8.20472i | −0.393948 | − | 0.393386i | ||||
\(436\) | −4.73439 | − | 35.8918i | −0.226736 | − | 1.71891i | ||||
\(437\) | 4.37755 | + | 13.4727i | 0.209407 | + | 0.644487i | ||||
\(438\) | −0.0896267 | + | 25.4208i | −0.00428253 | + | 1.21465i | ||||
\(439\) | −10.5301 | − | 3.42144i | −0.502575 | − | 0.163296i | 0.0467479 | − | 0.998907i | \(-0.485114\pi\) |
−0.549323 | + | 0.835610i | \(0.685114\pi\) | |||||||
\(440\) | 6.36363 | − | 2.86949i | 0.303374 | − | 0.136798i | ||||
\(441\) | −0.811572 | + | 0.842808i | −0.0386463 | + | 0.0401337i | ||||
\(442\) | −10.9859 | − | 9.63191i | −0.522544 | − | 0.458143i | ||||
\(443\) | − | 30.1522i | − | 1.43257i | −0.697805 | − | 0.716287i | \(-0.745840\pi\) | ||
0.697805 | − | 0.716287i | \(-0.254160\pi\) | |||||||
\(444\) | −19.1049 | + | 11.2784i | −0.906679 | + | 0.535251i | ||||
\(445\) | 17.5733 | − | 14.7458i | 0.833055 | − | 0.699018i | ||||
\(446\) | −18.5107 | − | 7.95009i | −0.876509 | − | 0.376448i | ||||
\(447\) | 1.28399 | + | 3.01891i | 0.0607307 | + | 0.142790i | ||||
\(448\) | 17.5451 | + | 10.7335i | 0.828928 | + | 0.507112i | ||||
\(449\) | − | 9.62451i | − | 0.454209i | −0.973870 | − | 0.227104i | \(-0.927074\pi\) | ||
0.973870 | − | 0.227104i | \(-0.0729258\pi\) | |||||||
\(450\) | 8.34351 | − | 19.5035i | 0.393317 | − | 0.919403i | ||||
\(451\) | 1.70753i | 0.0804045i | ||||||||
\(452\) | 0.268930 | + | 2.03878i | 0.0126494 | + | 0.0958963i | ||||
\(453\) | −5.99584 | − | 14.0974i | −0.281709 | − | 0.662353i | ||||
\(454\) | 6.30658 | − | 14.6840i | 0.295983 | − | 0.689156i | ||||
\(455\) | 4.17339 | − | 16.7387i | 0.195652 | − | 0.784720i | ||||
\(456\) | 11.6876 | − | 11.0186i | 0.547321 | − | 0.515992i | ||||
\(457\) | − | 35.2802i | − | 1.65034i | −0.564885 | − | 0.825169i | \(-0.691080\pi\) | ||
0.564885 | − | 0.825169i | \(-0.308920\pi\) | |||||||
\(458\) | −1.23434 | + | 1.40785i | −0.0576770 | + | 0.0657846i | ||||
\(459\) | −4.66705 | − | 17.2699i | −0.217839 | − | 0.806092i | ||||
\(460\) | −16.8146 | + | 9.51885i | −0.783986 | + | 0.443819i | ||||
\(461\) | 22.6315 | + | 7.35342i | 1.05405 | + | 0.342483i | 0.784258 | − | 0.620434i | \(-0.213044\pi\) |
0.269796 | + | 0.962917i | \(0.413044\pi\) | |||||||
\(462\) | 6.95089 | + | 0.0245069i | 0.323385 | + | 0.00114016i | ||||
\(463\) | −9.54546 | − | 29.3779i | −0.443615 | − | 1.36531i | −0.883995 | − | 0.467496i | \(-0.845156\pi\) |
0.440380 | − | 0.897811i | \(-0.354844\pi\) | |||||||
\(464\) | 10.0543 | − | 6.53653i | 0.466761 | − | 0.303451i | ||||
\(465\) | −24.8892 | + | 12.7040i | −1.15421 | + | 0.589136i | ||||
\(466\) | 1.76105 | + | 2.95921i | 0.0815790 | + | 0.137083i | ||||
\(467\) | 10.1374 | + | 13.9529i | 0.469101 | + | 0.645662i | 0.976365 | − | 0.216129i | \(-0.0693430\pi\) |
−0.507264 | + | 0.861791i | \(0.669343\pi\) | |||||||
\(468\) | −10.6853 | + | 14.4910i | −0.493926 | + | 0.669847i | ||||
\(469\) | −3.31883 | + | 2.41127i | −0.153250 | + | 0.111342i | ||||
\(470\) | 32.8661 | − | 9.89610i | 1.51600 | − | 0.456473i | ||||
\(471\) | 3.18066 | + | 7.47835i | 0.146557 | + | 0.344584i | ||||
\(472\) | 32.5551 | − | 1.29134i | 1.49847 | − | 0.0594389i | ||||
\(473\) | 3.31148 | − | 10.1917i | 0.152262 | − | 0.468614i | ||||
\(474\) | 3.62477 | + | 1.19190i | 0.166491 | + | 0.0547460i | ||||
\(475\) | −7.69641 | + | 14.4749i | −0.353136 | + | 0.664156i | ||||
\(476\) | −15.9765 | + | 7.62531i | −0.732282 | + | 0.349506i | ||||
\(477\) | −38.4817 | + | 6.84191i | −1.76195 | + | 0.313269i | ||||
\(478\) | −14.2439 | − | 6.11755i | −0.651501 | − | 0.279810i | ||||
\(479\) | −24.2857 | − | 17.6446i | −1.10964 | − | 0.806201i | −0.127033 | − | 0.991898i | \(-0.540545\pi\) |
−0.982607 | + | 0.185698i | \(0.940545\pi\) | |||||||
\(480\) | 17.9086 | + | 12.6206i | 0.817414 | + | 0.576051i | ||||
\(481\) | −15.5478 | + | 11.2961i | −0.708919 | + | 0.515060i | ||||
\(482\) | 1.23422 | − | 0.279437i | 0.0562170 | − | 0.0127280i | ||||
\(483\) | −19.1653 | + | 1.69051i | −0.872051 | + | 0.0769207i | ||||
\(484\) | −13.4702 | − | 14.1875i | −0.612281 | − | 0.644886i | ||||
\(485\) | 8.25580 | + | 20.4337i | 0.374877 | + | 0.927849i | ||||
\(486\) | −20.7210 | + | 7.52597i | −0.939924 | + | 0.341385i | ||||
\(487\) | −4.77812 | − | 14.7055i | −0.216517 | − | 0.666372i | −0.999042 | − | 0.0437526i | \(-0.986069\pi\) |
0.782525 | − | 0.622619i | \(-0.213931\pi\) | |||||||
\(488\) | −4.57270 | − | 3.05290i | −0.206996 | − | 0.138198i | ||||
\(489\) | 20.2609 | + | 23.2740i | 0.916231 | + | 1.05249i | ||||
\(490\) | 0.981821 | + | 0.746398i | 0.0443542 | + | 0.0337188i | ||||
\(491\) | −1.30331 | − | 4.01117i | −0.0588174 | − | 0.181021i | 0.917331 | − | 0.398125i | \(-0.130339\pi\) |
−0.976149 | + | 0.217104i | \(0.930339\pi\) | |||||||
\(492\) | −4.61494 | + | 2.72440i | −0.208057 | + | 0.122825i | ||||
\(493\) | 10.3219i | 0.464874i | ||||||||
\(494\) | 9.17294 | − | 10.4624i | 0.412710 | − | 0.470724i | ||||
\(495\) | 7.38681 | + | 0.505952i | 0.332013 | + | 0.0227408i | ||||
\(496\) | −7.48357 | − | 27.8732i | −0.336022 | − | 1.25154i | ||||
\(497\) | 23.3882 | + | 16.9925i | 1.04910 | + | 0.762218i | ||||
\(498\) | 9.63001 | − | 13.1568i | 0.431531 | − | 0.589569i | ||||
\(499\) | 11.8670i | 0.531241i | 0.964078 | + | 0.265621i | \(0.0855769\pi\) | ||||
−0.964078 | + | 0.265621i | \(0.914423\pi\) | |||||||
\(500\) | −21.4415 | − | 6.34533i | −0.958892 | − | 0.283772i | ||||
\(501\) | 19.4907 | + | 11.6923i | 0.870782 | + | 0.522375i | ||||
\(502\) | −0.524465 | + | 5.71556i | −0.0234080 | + | 0.255098i | ||||
\(503\) | 13.2547 | − | 18.2436i | 0.591000 | − | 0.813442i | −0.403847 | − | 0.914826i | \(-0.632327\pi\) |
0.994847 | + | 0.101385i | \(0.0323273\pi\) | |||||||
\(504\) | 11.0240 | + | 18.8252i | 0.491049 | + | 0.838543i | ||||
\(505\) | −6.62910 | − | 4.14231i | −0.294991 | − | 0.184330i | ||||
\(506\) | −5.07099 | − | 4.44602i | −0.225433 | − | 0.197650i | ||||
\(507\) | 3.56000 | − | 5.93441i | 0.158105 | − | 0.263557i | ||||
\(508\) | 15.0116 | − | 27.6645i | 0.666032 | − | 1.22741i | ||||
\(509\) | 4.18815 | − | 1.36081i | 0.185637 | − | 0.0603170i | −0.214723 | − | 0.976675i | \(-0.568885\pi\) |
0.400360 | + | 0.916358i | \(0.368885\pi\) | |||||||
\(510\) | −17.5088 | + | 7.00234i | −0.775304 | + | 0.310069i | ||||
\(511\) | 25.3760 | + | 8.24517i | 1.12257 | + | 0.364745i | ||||
\(512\) | −16.5985 | + | 15.3782i | −0.733557 | + | 0.679628i | ||||
\(513\) | 16.4470 | − | 4.44466i | 0.726153 | − | 0.196237i | ||||
\(514\) | −0.436069 | + | 4.75223i | −0.0192342 | + | 0.209612i | ||||
\(515\) | −29.2739 | + | 11.8275i | −1.28996 | + | 0.521181i | ||||
\(516\) | 32.8285 | − | 7.31108i | 1.44520 | − | 0.321852i | ||||
\(517\) | 7.04173 | + | 9.69210i | 0.309695 | + | 0.426258i | ||||
\(518\) | 5.14202 | + | 22.7112i | 0.225927 | + | 0.997874i | ||||
\(519\) | −1.23327 | − | 13.9817i | −0.0541348 | − | 0.613727i | ||||
\(520\) | 16.4806 | + | 9.41121i | 0.722723 | + | 0.412709i | ||||
\(521\) | −1.96246 | + | 2.70110i | −0.0859771 | + | 0.118337i | −0.849839 | − | 0.527042i | \(-0.823301\pi\) |
0.763862 | + | 0.645380i | \(0.223301\pi\) | |||||||
\(522\) | 12.6744 | − | 1.07295i | 0.554746 | − | 0.0469617i | ||||
\(523\) | 5.17387 | − | 15.9235i | 0.226237 | − | 0.696287i | −0.771926 | − | 0.635712i | \(-0.780707\pi\) |
0.998164 | − | 0.0605749i | \(-0.0192934\pi\) | |||||||
\(524\) | −5.19256 | + | 2.47832i | −0.226838 | + | 0.108266i | ||||
\(525\) | −16.8144 | − | 14.5954i | −0.733839 | − | 0.636996i | ||||
\(526\) | −5.78232 | − | 25.5393i | −0.252121 | − | 1.11357i | ||||
\(527\) | 23.6245 | + | 7.67607i | 1.02910 | + | 0.334375i | ||||
\(528\) | −2.09886 | + | 7.35327i | −0.0913413 | + | 0.320010i | ||||
\(529\) | −3.50545 | − | 2.54686i | −0.152411 | − | 0.110733i | ||||
\(530\) | 11.8785 | + | 39.4499i | 0.515969 | + | 1.71359i | ||||
\(531\) | 31.0813 | + | 15.1046i | 1.34881 | + | 0.655482i | ||||
\(532\) | −7.26196 | − | 15.2152i | −0.314846 | − | 0.659663i | ||||
\(533\) | −3.75569 | + | 2.72867i | −0.162677 | + | 0.118192i | ||||
\(534\) | −0.0886003 | + | 25.1297i | −0.00383411 | + | 1.08747i | ||||
\(535\) | 33.1062 | + | 20.6870i | 1.43131 | + | 0.894378i | ||||
\(536\) | −1.56364 | − | 4.23354i | −0.0675391 | − | 0.182861i | ||||
\(537\) | −23.8397 | − | 5.48594i | −1.02876 | − | 0.236736i | ||||
\(538\) | −16.9988 | + | 10.1161i | −0.732868 | + | 0.436135i | ||||
\(539\) | −0.133023 | + | 0.409402i | −0.00572970 | + | 0.0176342i | ||||
\(540\) | 10.4184 | + | 20.7716i | 0.448334 | + | 0.893866i | ||||
\(541\) | 3.73520 | + | 11.4958i | 0.160589 | + | 0.494241i | 0.998684 | − | 0.0512824i | \(-0.0163309\pi\) |
−0.838096 | + | 0.545523i | \(0.816331\pi\) | |||||||
\(542\) | 3.20862 | + | 2.81317i | 0.137822 | + | 0.120836i | ||||
\(543\) | 22.1445 | − | 36.9141i | 0.950310 | − | 1.58414i | ||||
\(544\) | −3.31019 | − | 19.1922i | −0.141923 | − | 0.822858i | ||||
\(545\) | −39.2736 | − | 9.79195i | −1.68229 | − | 0.419441i | ||||
\(546\) | 11.0538 | + | 15.3276i | 0.473058 | + | 0.655959i | ||||
\(547\) | 23.6775 | + | 17.2027i | 1.01238 | + | 0.735535i | 0.964706 | − | 0.263328i | \(-0.0848202\pi\) |
0.0476706 | + | 0.998863i | \(0.484820\pi\) | |||||||
\(548\) | −1.82601 | − | 13.8431i | −0.0780033 | − | 0.591350i | ||||
\(549\) | −2.74514 | − | 5.14516i | −0.117160 | − | 0.219590i | ||||
\(550\) | −0.375447 | − | 7.79559i | −0.0160091 | − | 0.332405i | ||||
\(551\) | −9.83002 | −0.418773 | ||||||||
\(552\) | 3.92538 | − | 20.7990i | 0.167075 | − | 0.885266i | ||||
\(553\) | 2.35406 | − | 3.24009i | 0.100105 | − | 0.137783i | ||||
\(554\) | −9.27544 | + | 21.5966i | −0.394076 | + | 0.917552i | ||||
\(555\) | 3.89772 | + | 24.4961i | 0.165449 | + | 1.03980i | ||||
\(556\) | −1.53227 | − | 0.831456i | −0.0649826 | − | 0.0352616i | ||||
\(557\) | 24.2322 | 1.02675 | 0.513375 | − | 0.858164i | \(-0.328395\pi\) | ||||
0.513375 | + | 0.858164i | \(0.328395\pi\) | |||||||
\(558\) | 6.96987 | − | 29.8070i | 0.295058 | − | 1.26183i | ||||
\(559\) | 27.7083 | − | 9.00297i | 1.17194 | − | 0.380785i | ||||
\(560\) | 18.3582 | − | 13.8483i | 0.775775 | − | 0.585199i | ||||
\(561\) | −4.32157 | − | 4.96425i | −0.182457 | − | 0.209591i | ||||
\(562\) | −17.3892 | + | 10.3485i | −0.733521 | + | 0.436523i | ||||
\(563\) | 2.48909 | − | 0.808756i | 0.104903 | − | 0.0340850i | −0.256095 | − | 0.966652i | \(-0.582436\pi\) |
0.360998 | + | 0.932567i | \(0.382436\pi\) | |||||||
\(564\) | −14.9596 | + | 34.4956i | −0.629914 | + | 1.45253i | ||||
\(565\) | 2.23088 | + | 0.556218i | 0.0938538 | + | 0.0234003i | ||||
\(566\) | −21.3713 | − | 35.9116i | −0.898301 | − | 1.50948i | ||||
\(567\) | 0.873430 | + | 23.1224i | 0.0366806 | + | 0.971050i | ||||
\(568\) | −24.9689 | + | 19.6991i | −1.04767 | + | 0.826556i | ||||
\(569\) | 9.45200 | + | 13.0096i | 0.396249 | + | 0.545389i | 0.959797 | − | 0.280693i | \(-0.0905644\pi\) |
−0.563549 | + | 0.826083i | \(0.690564\pi\) | |||||||
\(570\) | −6.66867 | − | 16.6745i | −0.279320 | − | 0.698418i | ||||
\(571\) | 5.15218 | − | 7.09137i | 0.215612 | − | 0.296765i | −0.687487 | − | 0.726197i | \(-0.741286\pi\) |
0.903099 | + | 0.429432i | \(0.141286\pi\) | |||||||
\(572\) | −1.20552 | + | 6.51350i | −0.0504053 | + | 0.272343i | ||||
\(573\) | 17.0023 | + | 19.5307i | 0.710280 | + | 0.815909i | ||||
\(574\) | 1.24209 | + | 5.48607i | 0.0518440 | + | 0.228984i | ||||
\(575\) | 3.00656 | + | 21.3924i | 0.125382 | + | 0.892126i | ||||
\(576\) | −23.2224 | + | 6.05967i | −0.967600 | + | 0.252486i | ||||
\(577\) | 29.7380 | + | 9.66247i | 1.23801 | + | 0.402254i | 0.853610 | − | 0.520913i | \(-0.174408\pi\) |
0.384400 | + | 0.923167i | \(0.374408\pi\) | |||||||
\(578\) | −6.68814 | − | 2.87246i | −0.278190 | − | 0.119478i | ||||
\(579\) | 10.9542 | + | 25.7554i | 0.455240 | + | 1.07036i | ||||
\(580\) | −2.67640 | − | 13.1380i | −0.111131 | − | 0.545525i | ||||
\(581\) | −10.0589 | − | 13.8449i | −0.417315 | − | 0.574384i | ||||
\(582\) | −22.9339 | − | 7.54119i | −0.950643 | − | 0.312592i | ||||
\(583\) | −11.6336 | + | 8.45234i | −0.481816 | + | 0.350060i | ||||
\(584\) | −16.2988 | + | 24.4128i | −0.674451 | + | 1.01021i | ||||
\(585\) | 10.6914 | + | 17.0557i | 0.442037 | + | 0.705167i | ||||
\(586\) | 0.0793209 | − | 0.864431i | 0.00327671 | − | 0.0357093i | ||||
\(587\) | 18.7813 | − | 6.10240i | 0.775186 | − | 0.251873i | 0.105402 | − | 0.994430i | \(-0.466387\pi\) |
0.669783 | + | 0.742557i | \(0.266387\pi\) | |||||||
\(588\) | −1.31873 | + | 0.293688i | −0.0543835 | + | 0.0121115i | ||||
\(589\) | −7.31030 | + | 22.4988i | −0.301216 | + | 0.927046i | ||||
\(590\) | 12.0051 | − | 34.3913i | 0.494242 | − | 1.41587i | ||||
\(591\) | 42.9510 | + | 9.88380i | 1.76677 | + | 0.406565i | ||||
\(592\) | −25.5833 | − | 1.32791i | −1.05147 | − | 0.0545770i | ||||
\(593\) | −21.5081 | −0.883230 | −0.441615 | − | 0.897205i | \(-0.645594\pi\) | ||||
−0.441615 | + | 0.897205i | \(0.645594\pi\) | |||||||
\(594\) | −5.64649 | + | 5.82258i | −0.231678 | + | 0.238903i | ||||
\(595\) | 1.38068 | + | 19.7443i | 0.0566023 | + | 0.809436i | ||||
\(596\) | −0.689399 | + | 3.72487i | −0.0282389 | + | 0.152577i | ||||
\(597\) | 5.34606 | + | 12.5696i | 0.218800 | + | 0.514440i | ||||
\(598\) | 1.67541 | − | 18.2584i | 0.0685124 | − | 0.746642i | ||||
\(599\) | −31.4351 | −1.28440 | −0.642202 | − | 0.766536i | \(-0.721979\pi\) | ||||
−0.642202 | + | 0.766536i | \(0.721979\pi\) | |||||||
\(600\) | 20.4701 | − | 13.4527i | 0.835688 | − | 0.549205i | ||||
\(601\) | 21.2706 | 0.867646 | 0.433823 | − | 0.900998i | \(-0.357164\pi\) | ||||
0.433823 | + | 0.900998i | \(0.357164\pi\) | |||||||
\(602\) | 3.22570 | − | 35.1534i | 0.131470 | − | 1.43274i | ||||
\(603\) | 0.659445 | − | 4.74120i | 0.0268547 | − | 0.193077i | ||||
\(604\) | 3.21928 | − | 17.3940i | 0.130991 | − | 0.707752i | ||||
\(605\) | −20.2800 | + | 8.19367i | −0.824498 | + | 0.333120i | ||||
\(606\) | 8.15315 | − | 2.61737i | 0.331199 | − | 0.106324i | ||||
\(607\) | −16.3955 | −0.665474 | −0.332737 | − | 0.943020i | \(-0.607972\pi\) | ||||
−0.332737 | + | 0.943020i | \(0.607972\pi\) | |||||||
\(608\) | 18.2777 | − | 3.15246i | 0.741257 | − | 0.127849i | ||||
\(609\) | 2.99399 | − | 13.0107i | 0.121323 | − | 0.527219i | ||||
\(610\) | −5.05033 | + | 3.50448i | −0.204482 | + | 0.141892i | ||||
\(611\) | −10.0648 | + | 30.9764i | −0.407180 | + | 1.25317i | ||||
\(612\) | 6.52172 | − | 19.6004i | 0.263625 | − | 0.792301i | ||||
\(613\) | −0.176354 | + | 0.0573008i | −0.00712287 | + | 0.00231436i | −0.312576 | − | 0.949893i | \(-0.601192\pi\) |
0.305453 | + | 0.952207i | \(0.401192\pi\) | |||||||
\(614\) | −1.88886 | + | 20.5846i | −0.0762284 | + | 0.830729i | ||||
\(615\) | 0.941525 | + | 5.91722i | 0.0379660 | + | 0.238605i | ||||
\(616\) | 6.67526 | + | 4.45664i | 0.268954 | + | 0.179563i | ||||
\(617\) | −21.4593 | + | 15.5911i | −0.863918 | + | 0.627673i | −0.928948 | − | 0.370210i | \(-0.879286\pi\) |
0.0650304 | + | 0.997883i | \(0.479286\pi\) | |||||||
\(618\) | 10.8037 | − | 32.8558i | 0.434589 | − | 1.32165i | ||||
\(619\) | 20.5698 | + | 28.3119i | 0.826771 | + | 1.13795i | 0.988515 | + | 0.151120i | \(0.0482880\pi\) |
−0.161744 | + | 0.986833i | \(0.551712\pi\) | |||||||
\(620\) | −32.0604 | − | 3.64464i | −1.28758 | − | 0.146372i | ||||
\(621\) | 14.0910 | − | 17.4772i | 0.565453 | − | 0.701336i | ||||
\(622\) | −9.13232 | − | 3.92220i | −0.366173 | − | 0.157266i | ||||
\(623\) | 25.0854 | + | 8.15075i | 1.00503 | + | 0.326553i | ||||
\(624\) | −19.5274 | + | 7.13425i | −0.781723 | + | 0.285599i | ||||
\(625\) | −15.3914 | + | 19.7003i | −0.615658 | + | 0.788014i | ||||
\(626\) | −2.78132 | − | 12.2845i | −0.111164 | − | 0.490987i | ||||
\(627\) | 4.72770 | − | 4.11564i | 0.188806 | − | 0.164363i | ||||
\(628\) | −1.70776 | + | 9.22714i | −0.0681470 | + | 0.368203i | ||||
\(629\) | 12.9603 | − | 17.8383i | 0.516760 | − | 0.711259i | ||||
\(630\) | 24.1009 | − | 3.74776i | 0.960203 | − | 0.149315i | ||||
\(631\) | 2.41542 | + | 3.32454i | 0.0961564 | + | 0.132348i | 0.854384 | − | 0.519642i | \(-0.173935\pi\) |
−0.758228 | + | 0.651990i | \(0.773935\pi\) | |||||||
\(632\) | 2.72902 | + | 3.45908i | 0.108555 | + | 0.137595i | ||||
\(633\) | 8.84548 | − | 0.780229i | 0.351576 | − | 0.0310113i | ||||
\(634\) | −2.22789 | − | 3.74367i | −0.0884807 | − | 0.148680i | ||||
\(635\) | −22.6197 | − | 26.9571i | −0.897637 | − | 1.06976i | ||||
\(636\) | −41.4058 | − | 17.9564i | −1.64185 | − | 0.712016i | ||||
\(637\) | −1.11305 | + | 0.361651i | −0.0441005 | + | 0.0143291i | ||||
\(638\) | 4.02154 | − | 2.39324i | 0.159214 | − | 0.0947494i | ||||
\(639\) | −33.2125 | + | 5.90506i | −1.31387 | + | 0.233601i | ||||
\(640\) | 9.18973 | + | 23.5701i | 0.363256 | + | 0.931689i | ||||
\(641\) | 2.25073 | − | 0.731308i | 0.0888986 | − | 0.0288849i | −0.264230 | − | 0.964460i | \(-0.585118\pi\) |
0.353129 | + | 0.935575i | \(0.385118\pi\) | |||||||
\(642\) | −40.7175 | + | 13.0714i | −1.60699 | + | 0.515886i | ||||
\(643\) | 38.7571 | 1.52843 | 0.764216 | − | 0.644960i | \(-0.223126\pi\) | ||||
0.764216 | + | 0.644960i | \(0.223126\pi\) | |||||||
\(644\) | −19.5265 | − | 10.5957i | −0.769454 | − | 0.417530i | ||||
\(645\) | 5.85584 | − | 37.1438i | 0.230573 | − | 1.46254i | ||||
\(646\) | −6.29985 | + | 14.6684i | −0.247864 | + | 0.577119i | ||||
\(647\) | 10.0605 | − | 13.8471i | 0.395520 | − | 0.544386i | −0.564093 | − | 0.825711i | \(-0.690774\pi\) |
0.959612 | + | 0.281325i | \(0.0907740\pi\) | |||||||
\(648\) | −24.7457 | − | 5.97071i | −0.972104 | − | 0.234552i | ||||
\(649\) | 12.7140 | 0.499069 | ||||||||
\(650\) | 16.5463 | − | 13.2833i | 0.649001 | − | 0.521014i | ||||
\(651\) | −27.5521 | − | 16.5282i | −1.07985 | − | 0.647793i | ||||
\(652\) | 4.65965 | + | 35.3252i | 0.182486 | + | 1.38344i | ||||
\(653\) | 37.2668 | + | 27.0759i | 1.45836 | + | 1.05956i | 0.983786 | + | 0.179349i | \(0.0573990\pi\) |
0.474577 | + | 0.880214i | \(0.342601\pi\) | |||||||
\(654\) | 35.9627 | − | 25.9352i | 1.40625 | − | 1.01415i | ||||
\(655\) | 0.448738 | + | 6.41714i | 0.0175336 | + | 0.250738i | ||||
\(656\) | −6.17984 | − | 0.320768i | −0.241282 | − | 0.0125239i | ||||
\(657\) | −27.4690 | + | 14.6558i | −1.07167 | + | 0.571777i | ||||
\(658\) | 29.6744 | + | 26.0172i | 1.15683 | + | 1.01425i | ||||
\(659\) | −0.449647 | − | 1.38387i | −0.0175158 | − | 0.0539080i | 0.941917 | − | 0.335847i | \(-0.109022\pi\) |
−0.959432 | + | 0.281939i | \(0.909022\pi\) | |||||||
\(660\) | 6.78782 | + | 5.19809i | 0.264216 | + | 0.202335i | ||||
\(661\) | −3.12329 | + | 9.61249i | −0.121482 | + | 0.373883i | −0.993244 | − | 0.116047i | \(-0.962978\pi\) |
0.871762 | + | 0.489930i | \(0.162978\pi\) | |||||||
\(662\) | 5.61655 | − | 3.34245i | 0.218293 | − | 0.129908i | ||||
\(663\) | 4.01284 | − | 17.4382i | 0.155846 | − | 0.677244i | ||||
\(664\) | 17.6607 | − | 6.52293i | 0.685369 | − | 0.253139i | ||||
\(665\) | −18.8034 | + | 1.31489i | −0.729166 | + | 0.0509892i | ||||
\(666\) | −23.2512 | − | 14.0599i | −0.900967 | − | 0.544811i | ||||
\(667\) | −10.4795 | + | 7.61377i | −0.405766 | + | 0.294806i | ||||
\(668\) | 11.3047 | + | 23.6855i | 0.437392 | + | 0.916420i | ||||
\(669\) | −2.16794 | − | 24.5780i | −0.0838174 | − | 0.950240i | ||||
\(670\) | −5.04458 | − | 0.109435i | −0.194889 | − | 0.00422784i | ||||
\(671\) | −1.73579 | − | 1.26113i | −0.0670095 | − | 0.0486852i | ||||
\(672\) | −1.39445 | + | 25.1518i | −0.0537922 | + | 0.970253i | ||||
\(673\) | 28.3074 | + | 9.19764i | 1.09117 | + | 0.354543i | 0.798699 | − | 0.601731i | \(-0.205522\pi\) |
0.292472 | + | 0.956274i | \(0.405522\pi\) | |||||||
\(674\) | 7.19402 | + | 31.7745i | 0.277103 | + | 1.22391i | ||||
\(675\) | 25.8770 | − | 2.31975i | 0.996006 | − | 0.0892871i | ||||
\(676\) | 7.21161 | − | 3.44198i | 0.277370 | − | 0.132384i | ||||
\(677\) | 5.31251 | − | 16.3502i | 0.204177 | − | 0.628391i | −0.795570 | − | 0.605862i | \(-0.792828\pi\) |
0.999746 | − | 0.0225286i | \(-0.00717168\pi\) | |||||||
\(678\) | −2.04281 | + | 1.47321i | −0.0784537 | + | 0.0565784i | ||||
\(679\) | −14.8942 | + | 20.5001i | −0.571586 | + | 0.786721i | ||||
\(680\) | −21.3197 | − | 4.42613i | −0.817575 | − | 0.169734i | ||||
\(681\) | 19.4970 | − | 1.71976i | 0.747127 | − | 0.0659015i | ||||
\(682\) | −2.48692 | − | 10.9842i | −0.0952290 | − | 0.420607i | ||||
\(683\) | −2.65684 | − | 3.65683i | −0.101661 | − | 0.139925i | 0.755156 | − | 0.655546i | \(-0.227561\pi\) |
−0.856817 | + | 0.515621i | \(0.827561\pi\) | |||||||
\(684\) | 18.6665 | + | 6.21095i | 0.713730 | + | 0.237482i | ||||
\(685\) | −15.1475 | − | 3.77666i | −0.578754 | − | 0.144299i | ||||
\(686\) | −2.45526 | + | 26.7571i | −0.0937422 | + | 1.02159i | ||||
\(687\) | −2.23473 | − | 0.514251i | −0.0852602 | − | 0.0196199i | ||||
\(688\) | 36.2633 | + | 13.8993i | 1.38253 | + | 0.529908i | ||||
\(689\) | −37.1816 | − | 12.0810i | −1.41651 | − | 0.460251i | ||||
\(690\) | −20.0244 | − | 12.6110i | −0.762314 | − | 0.480091i | ||||
\(691\) | −28.6103 | + | 9.29604i | −1.08839 | + | 0.353638i | −0.797623 | − | 0.603157i | \(-0.793909\pi\) |
−0.290764 | + | 0.956795i | \(0.593909\pi\) | |||||||
\(692\) | 7.72990 | − | 14.2452i | 0.293847 | − | 0.541522i | ||||
\(693\) | 4.00737 | + | 7.51094i | 0.152228 | + | 0.285317i | ||||
\(694\) | −15.8399 | − | 13.8877i | −0.601273 | − | 0.527169i | ||||
\(695\) | −1.49309 | + | 1.25285i | −0.0566361 | + | 0.0475234i | ||||
\(696\) | 12.8846 | + | 7.05053i | 0.488391 | + | 0.267250i | ||||
\(697\) | 3.13066 | − | 4.30898i | 0.118582 | − | 0.163214i | ||||
\(698\) | −1.91979 | + | 20.9217i | −0.0726653 | + | 0.791899i | ||||
\(699\) | −2.16960 | + | 3.61665i | −0.0820618 | + | 0.136794i | ||||
\(700\) | −6.87694 | − | 24.7731i | −0.259924 | − | 0.936335i | ||||
\(701\) | − | 21.6074i | − | 0.816100i | −0.912960 | − | 0.408050i | \(-0.866209\pi\) | ||
0.912960 | − | 0.408050i | \(-0.133791\pi\) | |||||||
\(702\) | −21.8299 | − | 3.11477i | −0.823916 | − | 0.117559i | ||||
\(703\) | 16.9883 | + | 12.3427i | 0.640725 | + | 0.465514i | ||||
\(704\) | −6.71002 | + | 5.73962i | −0.252893 | + | 0.216320i | ||||
\(705\) | 29.7463 | + | 29.7039i | 1.12031 | + | 1.11871i | ||||
\(706\) | −9.68282 | + | 11.0439i | −0.364418 | + | 0.415644i | ||||
\(707\) | − | 8.98772i | − | 0.338018i | ||||||
\(708\) | 20.2854 | + | 34.3622i | 0.762374 | + | 1.29141i | ||||
\(709\) | −9.22940 | − | 28.4052i | −0.346618 | − | 1.06678i | −0.960712 | − | 0.277547i | \(-0.910479\pi\) |
0.614095 | − | 0.789232i | \(-0.289521\pi\) | |||||||
\(710\) | 10.2520 | + | 34.0481i | 0.384751 | + | 1.27780i | ||||
\(711\) | 0.818060 | + | 4.60111i | 0.0306797 | + | 0.172555i | ||||
\(712\) | −16.1122 | + | 24.1332i | −0.603830 | + | 0.904431i | ||||
\(713\) | 9.63300 | + | 29.6473i | 0.360759 | + | 1.11030i | ||||
\(714\) | −17.4957 | − | 12.8059i | −0.654761 | − | 0.479248i | ||||
\(715\) | 6.28064 | + | 3.92457i | 0.234883 | + | 0.146771i | ||||
\(716\) | −19.4492 | − | 20.4849i | −0.726851 | − | 0.765557i | ||||
\(717\) | −1.66822 | − | 18.9126i | −0.0623007 | − | 0.706305i | ||||
\(718\) | 6.64868 | − | 1.50532i | 0.248127 | − | 0.0561780i | ||||
\(719\) | 5.00682 | − | 3.63767i | 0.186723 | − | 0.135662i | −0.490497 | − | 0.871443i | \(-0.663185\pi\) |
0.677220 | + | 0.735781i | \(0.263185\pi\) | |||||||
\(720\) | −3.21877 | + | 26.6391i | −0.119957 | + | 0.992779i | ||||
\(721\) | −29.3689 | − | 21.3378i | −1.09376 | − | 0.794661i | ||||
\(722\) | 10.7199 | + | 4.60405i | 0.398954 | + | 0.171345i | ||||
\(723\) | 1.01763 | + | 1.16897i | 0.0378461 | + | 0.0434744i | ||||
\(724\) | 44.8587 | − | 21.4103i | 1.66716 | − | 0.795707i | ||||
\(725\) | −14.7627 | − | 2.60302i | −0.548272 | − | 0.0966737i | ||||
\(726\) | 7.48444 | − | 22.7614i | 0.277774 | − | 0.844753i | ||||
\(727\) | 2.25103 | − | 6.92797i | 0.0834862 | − | 0.256944i | −0.900596 | − | 0.434657i | \(-0.856870\pi\) |
0.984082 | + | 0.177713i | \(0.0568697\pi\) | |||||||
\(728\) | 0.864882 | + | 21.8039i | 0.0320547 | + | 0.808108i | ||||
\(729\) | −20.1420 | − | 17.9806i | −0.745998 | − | 0.665948i | ||||
\(730\) | 18.7098 | + | 26.9627i | 0.692480 | + | 0.997936i | ||||
\(731\) | −27.0424 | + | 19.6474i | −1.00020 | + | 0.726687i | ||||
\(732\) | 0.638956 | − | 6.70346i | 0.0236165 | − | 0.247767i | ||||
\(733\) | −5.71993 | − | 7.87281i | −0.211270 | − | 0.290789i | 0.690210 | − | 0.723610i | \(-0.257518\pi\) |
−0.901480 | + | 0.432821i | \(0.857518\pi\) | |||||||
\(734\) | 9.31358 | + | 15.6503i | 0.343771 | + | 0.577662i | ||||
\(735\) | −0.235230 | + | 1.49208i | −0.00867660 | + | 0.0550360i | ||||
\(736\) | 17.0435 | − | 17.5176i | 0.628231 | − | 0.645705i | ||||
\(737\) | −0.544223 | − | 1.67495i | −0.0200467 | − | 0.0616975i | ||||
\(738\) | −5.61651 | − | 3.39628i | −0.206747 | − | 0.125019i | ||||
\(739\) | −49.8168 | − | 16.1865i | −1.83254 | − | 0.595429i | −0.999082 | − | 0.0428478i | \(-0.986357\pi\) |
−0.833459 | − | 0.552581i | \(-0.813643\pi\) | |||||||
\(740\) | −11.8709 | + | 26.0656i | −0.436382 | + | 0.958192i | ||||
\(741\) | 16.6073 | + | 3.82163i | 0.610083 | + | 0.140391i | ||||
\(742\) | −31.2290 | + | 35.6188i | −1.14645 | + | 1.30761i | ||||
\(743\) | − | 33.0690i | − | 1.21318i | −0.795013 | − | 0.606592i | \(-0.792536\pi\) | ||
0.795013 | − | 0.606592i | \(-0.207464\pi\) | |||||||
\(744\) | 25.7191 | − | 24.2469i | 0.942906 | − | 0.888933i | ||||
\(745\) | 3.59171 | + | 2.24434i | 0.131590 | + | 0.0822263i | ||||
\(746\) | 15.8715 | − | 36.9546i | 0.581096 | − | 1.35301i | ||||
\(747\) | 19.7785 | + | 2.75095i | 0.723657 | + | 0.100652i | ||||
\(748\) | −0.993883 | − | 7.53471i | −0.0363400 | − | 0.275496i | ||||
\(749\) | 44.8853i | 1.64007i | ||||||||
\(750\) | −5.59952 | − | 26.8076i | −0.204465 | − | 0.978874i | ||||
\(751\) | − | 50.5408i | − | 1.84426i | −0.386882 | − | 0.922129i | \(-0.626448\pi\) | ||
0.386882 | − | 0.922129i | \(-0.373552\pi\) | |||||||
\(752\) | −36.4002 | + | 23.6645i | −1.32738 | + | 0.862954i | ||||
\(753\) | −6.46874 | + | 2.75126i | −0.235734 | + | 0.100261i | ||||
\(754\) | 11.6904 | + | 5.02086i | 0.425739 | + | 0.182849i | ||||
\(755\) | −16.7722 | − | 10.4804i | −0.610401 | − | 0.381420i | ||||
\(756\) | −13.9060 | + | 22.8145i | −0.505755 | + | 0.829757i | ||||
\(757\) | 10.2783i | 0.373570i | 0.982401 | + | 0.186785i | \(0.0598068\pi\) | ||||
−0.982401 | + | 0.186785i | \(0.940193\pi\) | |||||||
\(758\) | −30.1670 | − | 26.4491i | −1.09571 | − | 0.960673i | ||||
\(759\) | 1.85230 | − | 8.04935i | 0.0672342 | − | 0.292173i | ||||
\(760\) | 4.21522 | − | 20.3038i | 0.152902 | − | 0.736497i | ||||
\(761\) | −47.6097 | − | 15.4693i | −1.72585 | − | 0.560762i | −0.733010 | − | 0.680218i | \(-0.761885\pi\) |
−0.992840 | + | 0.119455i | \(0.961885\pi\) | |||||||
\(762\) | 38.5485 | + | 0.135911i | 1.39647 | + | 0.00492354i | ||||
\(763\) | −14.3812 | − | 44.2606i | −0.520633 | − | 1.60234i | ||||
\(764\) | 3.91021 | + | 29.6437i | 0.141467 | + | 1.07247i | ||||
\(765\) | −17.7131 | − | 14.8201i | −0.640418 | − | 0.535820i | ||||
\(766\) | −20.0029 | + | 11.9039i | −0.722736 | + | 0.430105i | ||||
\(767\) | 20.3173 | + | 27.9643i | 0.733615 | + | 1.00973i | ||||
\(768\) | −26.2184 | − | 8.97748i | −0.946075 | − | 0.323947i | ||||
\(769\) | 0.407444 | − | 0.296025i | 0.0146928 | − | 0.0106749i | −0.580415 | − | 0.814321i | \(-0.697109\pi\) |
0.595107 | + | 0.803646i | \(0.297109\pi\) | |||||||
\(770\) | 7.37250 | − | 5.11587i | 0.265686 | − | 0.184363i | ||||
\(771\) | −5.37847 | + | 2.28755i | −0.193701 | + | 0.0823840i | ||||
\(772\) | −5.88150 | + | 31.7782i | −0.211680 | + | 1.14372i | ||||
\(773\) | −1.19615 | + | 3.68136i | −0.0430224 | + | 0.132409i | −0.970261 | − | 0.242063i | \(-0.922176\pi\) |
0.927238 | + | 0.374472i | \(0.122176\pi\) | |||||||
\(774\) | 26.9366 | + | 31.1636i | 0.968214 | + | 1.12015i | ||||
\(775\) | −16.9363 | + | 31.8528i | −0.608370 | + | 1.14419i | ||||
\(776\) | −17.2666 | − | 21.8856i | −0.619833 | − | 0.785648i | ||||
\(777\) | −21.5106 | + | 18.7258i | −0.771688 | + | 0.671784i | ||||
\(778\) | −4.11255 | + | 9.57553i | −0.147442 | + | 0.343299i | ||||
\(779\) | 4.10365 | + | 2.98148i | 0.147029 | + | 0.106822i | ||||
\(780\) | −0.586050 | + | 23.2364i | −0.0209839 | + | 0.831996i | ||||
\(781\) | −10.0407 | + | 7.29498i | −0.359284 | + | 0.261035i | ||||
\(782\) | 4.64521 | + | 20.5169i | 0.166112 | + | 0.733684i | ||||
\(783\) | 8.51256 | + | 13.0471i | 0.304214 | + | 0.466264i | ||||
\(784\) | −1.45670 | − | 0.558340i | −0.0520252 | − | 0.0199407i | ||||
\(785\) | 8.89727 | + | 5.55961i | 0.317557 | + | 0.198431i | ||||
\(786\) | −5.68633 | − | 4.16207i | −0.202825 | − | 0.148456i | ||||
\(787\) | −6.19354 | − | 19.0617i | −0.220776 | − | 0.679478i | −0.998693 | − | 0.0511112i | \(-0.983724\pi\) |
0.777917 | − | 0.628367i | \(-0.216276\pi\) | |||||||
\(788\) | 35.0408 | + | 36.9068i | 1.24828 | + | 1.31475i | ||||
\(789\) | 24.1892 | − | 21.0576i | 0.861157 | − | 0.749670i | ||||
\(790\) | 4.71687 | − | 1.42027i | 0.167819 | − | 0.0505308i | ||||
\(791\) | 0.816901 | + | 2.51416i | 0.0290457 | + | 0.0893934i | ||||
\(792\) | −9.14872 | + | 2.00364i | −0.325086 | + | 0.0711961i | ||||
\(793\) | − | 5.83315i | − | 0.207141i | ||||||
\(794\) | −23.2963 | − | 20.4251i | −0.826753 | − | 0.724860i | ||||
\(795\) | −35.6543 | + | 35.7052i | −1.26453 | + | 1.26633i | ||||
\(796\) | −2.87040 | + | 15.5090i | −0.101739 | + | 0.549701i | ||||
\(797\) | −26.4945 | − | 19.2494i | −0.938483 | − | 0.681848i | 0.00957178 | − | 0.999954i | \(-0.496953\pi\) |
−0.948055 | + | 0.318106i | \(0.896953\pi\) | |||||||
\(798\) | 12.1957 | − | 16.6620i | 0.431722 | − | 0.589830i | ||||
\(799\) | − | 37.3687i | − | 1.32201i | ||||||
\(800\) | 28.2841 | + | 0.105635i | 0.999993 | + | 0.00373476i | ||||
\(801\) | −27.1545 | + | 14.4880i | −0.959457 | + | 0.511907i | ||||
\(802\) | 27.2162 | + | 2.49738i | 0.961037 | + | 0.0881855i | ||||
\(803\) | −6.73291 | + | 9.26706i | −0.237599 | + | 0.327027i | ||||
\(804\) | 3.65856 | − | 4.14328i | 0.129027 | − | 0.146122i | ||||
\(805\) | −19.0273 | + | 15.9658i | −0.670623 | + | 0.562721i | ||||
\(806\) | 20.1855 | − | 23.0229i | 0.711003 | − | 0.810948i | ||||
\(807\) | −20.7753 | − | 12.4629i | −0.731326 | − | 0.438716i | ||||
\(808\) | 9.51745 | + | 2.68034i | 0.334823 | + | 0.0942940i | ||||
\(809\) | −14.2220 | + | 4.62101i | −0.500019 | + | 0.162466i | −0.548158 | − | 0.836374i | \(-0.684671\pi\) |
0.0481391 | + | 0.998841i | \(0.484671\pi\) | |||||||
\(810\) | −16.3566 | + | 23.2908i | −0.574712 | + | 0.818356i | ||||
\(811\) | −13.2402 | − | 4.30201i | −0.464927 | − | 0.151064i | 0.0671802 | − | 0.997741i | \(-0.478600\pi\) |
−0.532107 | + | 0.846677i | \(0.678600\pi\) | |||||||
\(812\) | 11.1798 | − | 10.6145i | 0.392333 | − | 0.372497i | ||||
\(813\) | −1.17202 | + | 5.09314i | −0.0411046 | + | 0.178624i | ||||
\(814\) | −9.95502 | − | 0.913481i | −0.348923 | − | 0.0320175i | ||||
\(815\) | 38.6536 | + | 9.63736i | 1.35397 | + | 0.337582i | ||||
\(816\) | 18.7783 | − | 14.7079i | 0.657371 | − | 0.514880i | ||||
\(817\) | −18.7112 | − | 25.7538i | −0.654623 | − | 0.901011i | ||||
\(818\) | −16.8052 | + | 3.80483i | −0.587579 | + | 0.133033i | ||||
\(819\) | −10.1163 | + | 20.8168i | −0.353494 | + | 0.727398i | ||||
\(820\) | −2.86750 | + | 6.29635i | −0.100137 | + | 0.219878i | ||||
\(821\) | 10.1641 | − | 13.9897i | 0.354729 | − | 0.488243i | −0.593942 | − | 0.804508i | \(-0.702429\pi\) |
0.948671 | + | 0.316265i | \(0.102429\pi\) | |||||||
\(822\) | 13.8705 | − | 10.0030i | 0.483789 | − | 0.348894i | ||||
\(823\) | −7.02768 | + | 21.6290i | −0.244970 | + | 0.753939i | 0.750672 | + | 0.660675i | \(0.229730\pi\) |
−0.995641 | + | 0.0932637i | \(0.970270\pi\) | |||||||
\(824\) | 31.3539 | − | 24.7365i | 1.09226 | − | 0.861738i | ||||
\(825\) | 8.18987 | − | 4.92894i | 0.285135 | − | 0.171604i | ||||
\(826\) | 40.8485 | − | 9.24845i | 1.42130 | − | 0.321795i | ||||
\(827\) | 11.7793 | + | 3.82733i | 0.409606 | + | 0.133089i | 0.506570 | − | 0.862199i | \(-0.330913\pi\) |
−0.0969638 | + | 0.995288i | \(0.530913\pi\) | |||||||
\(828\) | 24.7103 | − | 7.83667i | 0.858743 | − | 0.272343i | ||||
\(829\) | 17.0197 | + | 12.3656i | 0.591120 | + | 0.429473i | 0.842716 | − | 0.538359i | \(-0.180955\pi\) |
−0.251596 | + | 0.967832i | \(0.580955\pi\) | |||||||
\(830\) | 0.456522 | − | 21.0441i | 0.0158461 | − | 0.730451i | ||||
\(831\) | −28.6753 | + | 2.52935i | −0.994736 | + | 0.0877422i | ||||
\(832\) | −23.3470 | − | 5.58657i | −0.809411 | − | 0.193679i | ||||
\(833\) | 1.08630 | − | 0.789242i | 0.0376380 | − | 0.0273456i | ||||
\(834\) | 0.00752778 | − | 2.13511i | 0.000260666 | − | 0.0739327i | ||||
\(835\) | 29.2713 | − | 2.04689i | 1.01298 | − | 0.0708354i | ||||
\(836\) | 7.17567 | − | 0.946523i | 0.248176 | − | 0.0327362i | ||||
\(837\) | 36.1924 | − | 9.78068i | 1.25099 | − | 0.338070i | ||||
\(838\) | 27.4421 | + | 46.1129i | 0.947973 | + | 1.59294i | ||||
\(839\) | 1.59728 | − | 4.91593i | 0.0551443 | − | 0.169717i | −0.919691 | − | 0.392643i | \(-0.871561\pi\) |
0.974835 | + | 0.222926i | \(0.0715609\pi\) | |||||||
\(840\) | 25.5896 | + | 11.7632i | 0.882924 | + | 0.405868i | ||||
\(841\) | 6.18390 | + | 19.0321i | 0.213238 | + | 0.656278i | ||||
\(842\) | 7.61220 | − | 8.68224i | 0.262334 | − | 0.299210i | ||||
\(843\) | −21.2526 | − | 12.7492i | −0.731977 | − | 0.439107i | ||||
\(844\) | 9.01221 | + | 4.89031i | 0.310213 | + | 0.168331i | ||||
\(845\) | −0.623223 | − | 8.91234i | −0.0214395 | − | 0.306594i | ||||
\(846\) | −45.8859 | + | 3.88445i | −1.57759 | + | 0.133550i | ||||
\(847\) | −20.3458 | − | 14.7821i | −0.699090 | − | 0.507919i | ||||
\(848\) | −28.4050 | − | 43.6919i | −0.975431 | − | 1.50039i | ||||
\(849\) | 26.3292 | − | 43.8900i | 0.903617 | − | 1.50630i | ||||
\(850\) | −13.3453 | + | 20.3606i | −0.457740 | + | 0.698364i | ||||
\(851\) | 27.6706 | 0.948535 | ||||||||
\(852\) | −35.7362 | − | 15.4976i | −1.22430 | − | 0.530940i | ||||
\(853\) | −11.2390 | + | 15.4692i | −0.384816 | + | 0.529654i | −0.956852 | − | 0.290574i | \(-0.906154\pi\) |
0.572036 | + | 0.820228i | \(0.306154\pi\) | |||||||
\(854\) | −6.49424 | − | 2.78918i | −0.222228 | − | 0.0954438i | ||||
\(855\) | 14.1139 | − | 16.8690i | 0.482684 | − | 0.576909i | ||||
\(856\) | −47.5309 | − | 13.3858i | −1.62457 | − | 0.457518i | ||||
\(857\) | 15.5467 | 0.531066 | 0.265533 | − | 0.964102i | \(-0.414452\pi\) | ||||
0.265533 | + | 0.964102i | \(0.414452\pi\) | |||||||
\(858\) | −7.72458 | + | 2.47979i | −0.263713 | + | 0.0846587i | ||||
\(859\) | −16.2141 | + | 5.26828i | −0.553218 | + | 0.179751i | −0.572267 | − | 0.820067i | \(-0.693936\pi\) |
0.0190495 | + | 0.999819i | \(0.493936\pi\) | |||||||
\(860\) | 29.3259 | − | 32.0198i | 1.00000 | − | 1.09187i | ||||
\(861\) | −5.19605 | + | 4.52336i | −0.177081 | + | 0.154156i | ||||
\(862\) | −4.31528 | − | 7.25126i | −0.146979 | − | 0.246979i | ||||
\(863\) | 11.6565 | − | 3.78742i | 0.396791 | − | 0.128925i | −0.103823 | − | 0.994596i | \(-0.533108\pi\) |
0.500614 | + | 0.865671i | \(0.333108\pi\) | |||||||
\(864\) | −20.0122 | − | 21.5294i | −0.680827 | − | 0.732444i | ||||
\(865\) | −11.6475 | − | 13.8810i | −0.396028 | − | 0.471967i | ||||
\(866\) | 41.1886 | − | 24.5116i | 1.39964 | − | 0.832938i | ||||
\(867\) | −0.783301 | − | 8.88030i | −0.0266023 | − | 0.301591i | ||||
\(868\) | −15.9803 | − | 33.4818i | −0.542406 | − | 1.13645i | ||||
\(869\) | 1.01061 | + | 1.39099i | 0.0342827 | + | 0.0471861i | ||||
\(870\) | 12.6165 | − | 10.5109i | 0.427738 | − | 0.356354i | ||||
\(871\) | 2.81434 | − | 3.87361i | 0.0953604 | − | 0.131252i | ||||
\(872\) | 51.1581 | − | 2.02926i | 1.73243 | − | 0.0687193i | ||||
\(873\) | −5.17587 | − | 29.1112i | −0.175177 | − | 0.985266i | ||||
\(874\) | −19.5393 | + | 4.42386i | −0.660926 | + | 0.149639i | ||||
\(875\) | −28.5871 | − | 3.00452i | −0.966420 | − | 0.101571i | ||||
\(876\) | −35.7885 | − | 3.41127i | −1.20918 | − | 0.115256i | ||||
\(877\) | 39.2891 | + | 12.7658i | 1.32670 | + | 0.431070i | 0.884790 | − | 0.465990i | \(-0.154302\pi\) |
0.441908 | + | 0.897060i | \(0.354302\pi\) | |||||||
\(878\) | 6.17917 | − | 14.3874i | 0.208537 | − | 0.485551i | ||||
\(879\) | 0.978343 | − | 0.416105i | 0.0329987 | − | 0.0140349i | ||||
\(880\) | 3.21875 | + | 9.33270i | 0.108504 | + | 0.314605i | ||||
\(881\) | 17.5600 | + | 24.1693i | 0.591612 | + | 0.814284i | 0.994908 | − | 0.100785i | \(-0.0321355\pi\) |
−0.403296 | + | 0.915070i | \(0.632135\pi\) | |||||||
\(882\) | −1.08205 | − | 1.25185i | −0.0364344 | − | 0.0421519i | ||||
\(883\) | 2.61238 | − | 1.89800i | 0.0879135 | − | 0.0638729i | −0.542960 | − | 0.839758i | \(-0.682697\pi\) |
0.630874 | + | 0.775886i | \(0.282697\pi\) | |||||||
\(884\) | 14.9842 | − | 14.2267i | 0.503975 | − | 0.478494i | ||||
\(885\) | 44.0588 | − | 7.01046i | 1.48102 | − | 0.235654i | ||||
\(886\) | 42.4633 | + | 3.89646i | 1.42658 | + | 0.130904i | ||||
\(887\) | −19.6943 | + | 6.39907i | −0.661270 | + | 0.214860i | −0.620377 | − | 0.784304i | \(-0.713020\pi\) |
−0.0408931 | + | 0.999164i | \(0.513020\pi\) | |||||||
\(888\) | −13.4145 | − | 28.3629i | −0.450162 | − | 0.951795i | ||||
\(889\) | 12.5031 | − | 38.4806i | 0.419340 | − | 1.29060i | ||||
\(890\) | 18.4955 | + | 26.6540i | 0.619971 | + | 0.893444i | ||||
\(891\) | −9.55662 | − | 2.71087i | −0.320159 | − | 0.0908175i | ||||
\(892\) | 13.5882 | − | 25.0413i | 0.454966 | − | 0.838443i | ||||
\(893\) | 35.5881 | 1.19091 | ||||||||
\(894\) | −4.41745 | + | 1.41812i | −0.147742 | + | 0.0474289i | ||||
\(895\) | −29.2817 | + | 11.8306i | −0.978778 | + | 0.395453i | ||||
\(896\) | −17.3833 | + | 23.3217i | −0.580735 | + | 0.779122i | ||||
\(897\) | 20.6644 | − | 8.78892i | 0.689966 | − | 0.293453i | ||||
\(898\) | 13.5542 | + | 1.24374i | 0.452308 | + | 0.0415042i | ||||
\(899\) | −21.6314 | −0.721448 | ||||||||
\(900\) | 26.3885 | + | 14.2705i | 0.879616 | + | 0.475684i | ||||
\(901\) | 44.8545 | 1.49432 | ||||||||
\(902\) | −2.40471 | − | 0.220658i | −0.0800681 | − | 0.00734712i | ||||
\(903\) | 39.7858 | − | 16.9215i | 1.32399 | − | 0.563113i | ||||
\(904\) | −2.90597 | + | 0.115269i | −0.0966510 | + | 0.00383379i | ||||
\(905\) | −3.87666 | − | 55.4378i | −0.128865 | − | 1.84282i | ||||
\(906\) | 20.6281 | − | 6.62217i | 0.685323 | − | 0.220007i | ||||
\(907\) | 11.3583 | 0.377146 | 0.188573 | − | 0.982059i | \(-0.439614\pi\) | ||||
0.188573 | + | 0.982059i | \(0.439614\pi\) | |||||||
\(908\) | 19.8645 | + | 10.7791i | 0.659227 | + | 0.357717i | ||||
\(909\) | 7.55442 | + | 7.27444i | 0.250564 | + | 0.241278i | ||||
\(910\) | 23.0337 | + | 8.04046i | 0.763559 | + | 0.266539i | ||||
\(911\) | 4.98422 | − | 15.3398i | 0.165135 | − | 0.508232i | −0.833912 | − | 0.551898i | \(-0.813904\pi\) |
0.999046 | + | 0.0436661i | \(0.0139038\pi\) | |||||||
\(912\) | 14.0071 | + | 17.8835i | 0.463820 | + | 0.592181i | ||||
\(913\) | 6.98725 | − | 2.27029i | 0.231244 | − | 0.0751358i | ||||
\(914\) | 49.6850 | + | 4.55914i | 1.64343 | + | 0.150803i | ||||
\(915\) | −6.71053 | − | 3.41316i | −0.221843 | − | 0.112835i | ||||
\(916\) | −1.82316 | − | 1.92025i | −0.0602390 | − | 0.0634469i | ||||
\(917\) | −5.98375 | + | 4.34745i | −0.197601 | + | 0.143565i | ||||
\(918\) | 24.9243 | − | 4.34086i | 0.822625 | − | 0.143270i | ||||
\(919\) | −15.0688 | − | 20.7405i | −0.497075 | − | 0.684165i | 0.484598 | − | 0.874737i | \(-0.338966\pi\) |
−0.981673 | + | 0.190572i | \(0.938966\pi\) | |||||||
\(920\) | −11.2325 | − | 24.9101i | −0.370324 | − | 0.821261i | ||||
\(921\) | −23.2972 | + | 9.90868i | −0.767670 | + | 0.326502i | ||||
\(922\) | −13.2804 | + | 30.9216i | −0.437367 | + | 1.01835i | ||||
\(923\) | −32.0904 | − | 10.4268i | −1.05627 | − | 0.343203i | ||||
\(924\) | −0.932752 | + | 9.78575i | −0.0306853 | + | 0.321928i | ||||
\(925\) | 22.2445 | + | 23.0348i | 0.731395 | + | 0.757378i | ||||
\(926\) | 42.6063 | − | 9.64644i | 1.40013 | − | 0.317002i | ||||
\(927\) | 41.7055 | − | 7.41509i | 1.36979 | − | 0.243544i | ||||
\(928\) | 7.90608 | + | 15.0042i | 0.259530 | + | 0.492537i | ||||
\(929\) | −29.9571 | + | 41.2324i | −0.982860 | + | 1.35279i | −0.0475850 | + | 0.998867i | \(0.515153\pi\) |
−0.935275 | + | 0.353923i | \(0.884847\pi\) | |||||||
\(930\) | −14.6747 | − | 36.6930i | −0.481203 | − | 1.20321i | ||||
\(931\) | 0.751634 | + | 1.03453i | 0.0246338 | + | 0.0339055i | ||||
\(932\) | −4.39502 | + | 2.09767i | −0.143964 | + | 0.0687115i | ||||
\(933\) | −1.06956 | − | 12.1256i | −0.0350158 | − | 0.396975i | ||||
\(934\) | −20.9598 | + | 12.4733i | −0.685826 | + | 0.408140i | ||||
\(935\) | −8.24464 | − | 2.05561i | −0.269628 | − | 0.0672256i | ||||
\(936\) | −19.0268 | − | 16.9206i | −0.621911 | − | 0.553068i | ||||
\(937\) | −11.8742 | + | 3.85816i | −0.387913 | + | 0.126041i | −0.496479 | − | 0.868049i | \(-0.665374\pi\) |
0.108566 | + | 0.994089i | \(0.465374\pi\) | |||||||
\(938\) | −2.96691 | − | 4.98551i | −0.0968730 | − | 0.162783i | ||||
\(939\) | 11.6351 | − | 10.1288i | 0.379696 | − | 0.330540i | ||||
\(940\) | 9.68948 | + | 47.5640i | 0.316036 | + | 1.55137i | ||||
\(941\) | −48.2070 | + | 15.6634i | −1.57150 | + | 0.510612i | −0.959850 | − | 0.280514i | \(-0.909495\pi\) |
−0.611653 | + | 0.791126i | \(0.709495\pi\) | |||||||
\(942\) | −10.9428 | + | 3.51292i | −0.356535 | + | 0.114457i | ||||
\(943\) | 6.68404 | 0.217662 | ||||||||
\(944\) | −2.38839 | + | 46.0142i | −0.0777355 | + | 1.49763i | ||||
\(945\) | 18.0285 | + | 23.8185i | 0.586468 | + | 0.774816i | ||||
\(946\) | 13.9250 | + | 5.98058i | 0.452740 | + | 0.194445i | ||||
\(947\) | 12.0911 | − | 16.6420i | 0.392909 | − | 0.540793i | −0.566038 | − | 0.824379i | \(-0.691524\pi\) |
0.958947 | + | 0.283587i | \(0.0915244\pi\) | |||||||
\(948\) | −2.14697 | + | 4.95073i | −0.0697304 | + | 0.160792i | ||||
\(949\) | −31.1421 | −1.01092 | ||||||||
\(950\) | −19.3904 | − | 12.7094i | −0.629109 | − | 0.412347i | ||||
\(951\) | 2.74474 | − | 4.57540i | 0.0890043 | − | 0.148367i | ||||
\(952\) | −8.67412 | − | 23.4851i | −0.281130 | − | 0.761155i | ||||
\(953\) | 3.59444 | + | 2.61151i | 0.116435 | + | 0.0845953i | 0.644479 | − | 0.764622i | \(-0.277074\pi\) |
−0.528044 | + | 0.849217i | \(0.677074\pi\) | |||||||
\(954\) | −4.66258 | − | 55.0778i | −0.150957 | − | 1.78321i | ||||
\(955\) | 32.4367 | + | 8.08734i | 1.04963 | + | 0.261700i | ||||
\(956\) | 10.4560 | − | 19.2691i | 0.338172 | − | 0.623207i | ||||
\(957\) | 4.91499 | + | 2.94846i | 0.158879 | + | 0.0953102i | ||||
\(958\) | 27.9871 | − | 31.9213i | 0.904223 | − | 1.03133i | ||||
\(959\) | −5.54668 | − | 17.0709i | −0.179112 | − | 0.551249i | ||||
\(960\) | −20.0879 | + | 23.5898i | −0.648333 | + | 0.761357i | ||||
\(961\) | −6.50713 | + | 20.0269i | −0.209907 | + | 0.646028i | ||||
\(962\) | −13.8991 | − | 23.3557i | −0.448126 | − | 0.753018i | ||||
\(963\) | −37.7273 | − | 36.3291i | −1.21575 | − | 1.17069i | ||||
\(964\) | 0.234037 | + | 1.77425i | 0.00753782 | + | 0.0571448i | ||||
\(965\) | 30.6421 | + | 19.1472i | 0.986403 | + | 0.616372i | ||||
\(966\) | 0.0959308 | − | 27.2089i | 0.00308652 | − | 0.875432i | ||||
\(967\) | −36.6797 | + | 26.6494i | −1.17954 | + | 0.856987i | −0.992120 | − | 0.125293i | \(-0.960013\pi\) |
−0.187421 | + | 0.982280i | \(0.560013\pi\) | |||||||
\(968\) | 21.7209 | − | 17.1366i | 0.698137 | − | 0.550792i | ||||
\(969\) | −19.4762 | + | 1.71793i | −0.625665 | + | 0.0551878i | ||||
\(970\) | −29.8437 | + | 8.98604i | −0.958222 | + | 0.288524i | ||||
\(971\) | −21.0112 | − | 15.2655i | −0.674280 | − | 0.489893i | 0.197175 | − | 0.980368i | \(-0.436823\pi\) |
−0.871455 | + | 0.490475i | \(0.836823\pi\) | |||||||
\(972\) | −7.92109 | − | 30.1539i | −0.254069 | − | 0.967186i | ||||
\(973\) | −2.13134 | − | 0.692516i | −0.0683278 | − | 0.0222010i | ||||
\(974\) | 21.3272 | − | 4.82867i | 0.683368 | − | 0.154720i | ||||
\(975\) | 23.9287 | + | 10.1370i | 0.766332 | + | 0.324642i | ||||
\(976\) | 4.89030 | − | 6.04521i | 0.156535 | − | 0.193502i | ||||
\(977\) | 6.22344 | − | 19.1538i | 0.199105 | − | 0.612783i | −0.800799 | − | 0.598934i | \(-0.795591\pi\) |
0.999904 | − | 0.0138497i | \(-0.00440864\pi\) | |||||||
\(978\) | −35.3950 | + | 25.5258i | −1.13181 | + | 0.816225i | ||||
\(979\) | −6.65581 | + | 9.16094i | −0.212721 | + | 0.292785i | ||||
\(980\) | −1.17803 | + | 1.28624i | −0.0376307 | + | 0.0410875i | ||||
\(981\) | 48.8420 | + | 23.7358i | 1.55941 | + | 0.757825i | ||||
\(982\) | 5.81734 | − | 1.31709i | 0.185639 | − | 0.0420302i | ||||
\(983\) | 5.86807 | + | 8.07671i | 0.187162 | + | 0.257607i | 0.892279 | − | 0.451484i | \(-0.149105\pi\) |
−0.705117 | + | 0.709091i | \(0.749105\pi\) | |||||||
\(984\) | −3.24039 | − | 6.85127i | −0.103300 | − | 0.218410i | ||||
\(985\) | 52.7556 | − | 21.3147i | 1.68093 | − | 0.679143i | ||||
\(986\) | −14.5363 | − | 1.33386i | −0.462929 | − | 0.0424787i | ||||
\(987\) | −10.8393 | + | 47.1031i | −0.345018 | + | 1.49931i | ||||
\(988\) | 13.5487 | + | 14.2702i | 0.431043 | + | 0.453997i | ||||
\(989\) | −39.8948 | − | 12.9626i | −1.26858 | − | 0.412187i | ||||
\(990\) | −1.66710 | + | 10.3374i | −0.0529840 | + | 0.328546i | ||||
\(991\) | 32.2187 | − | 10.4685i | 1.02346 | − | 0.332543i | 0.251259 | − | 0.967920i | \(-0.419155\pi\) |
0.772202 | + | 0.635377i | \(0.219155\pi\) | |||||||
\(992\) | 40.2208 | − | 6.93713i | 1.27701 | − | 0.220254i | ||||
\(993\) | 6.86437 | + | 4.11787i | 0.217834 | + | 0.130677i | ||||
\(994\) | −26.9529 | + | 30.7416i | −0.854893 | + | 0.975064i | ||||
\(995\) | 14.9545 | + | 9.34460i | 0.474091 | + | 0.296244i | ||||
\(996\) | 17.2842 | + | 15.2621i | 0.547670 | + | 0.483599i | ||||
\(997\) | −14.1718 | + | 19.5058i | −0.448826 | + | 0.617756i | −0.972145 | − | 0.234381i | \(-0.924694\pi\) |
0.523319 | + | 0.852137i | \(0.324694\pi\) | |||||||
\(998\) | −16.7123 | − | 1.53354i | −0.529019 | − | 0.0485432i | ||||
\(999\) | 1.67063 | − | 33.2364i | 0.0528563 | − | 1.05155i |
(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 | 300.2.r.a.179.27 | yes | 224 | |
3.2 | odd | 2 | inner | 300.2.r.a.179.30 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.r.a.179.18 | yes | 224 | |
12.11 | even | 2 | inner | 300.2.r.a.179.39 | yes | 224 | |
25.19 | even | 10 | inner | 300.2.r.a.119.39 | yes | 224 | |
75.44 | odd | 10 | inner | 300.2.r.a.119.18 | ✓ | 224 | |
100.19 | odd | 10 | inner | 300.2.r.a.119.30 | yes | 224 | |
300.119 | even | 10 | inner | 300.2.r.a.119.27 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.r.a.119.18 | ✓ | 224 | 75.44 | odd | 10 | inner | |
300.2.r.a.119.27 | yes | 224 | 300.119 | even | 10 | inner | |
300.2.r.a.119.30 | yes | 224 | 100.19 | odd | 10 | inner | |
300.2.r.a.119.39 | yes | 224 | 25.19 | even | 10 | inner | |
300.2.r.a.179.18 | yes | 224 | 4.3 | odd | 2 | inner | |
300.2.r.a.179.27 | yes | 224 | 1.1 | even | 1 | trivial | |
300.2.r.a.179.30 | yes | 224 | 3.2 | odd | 2 | inner | |
300.2.r.a.179.39 | yes | 224 | 12.11 | even | 2 | inner |