Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [81,2,Mod(4,81)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(81, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("81.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 81 = 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 81.g (of order \(27\), degree \(18\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.646788256372\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{27})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 4.6 | ||
Character | \(\chi\) | \(=\) | 81.4 |
Dual form | 81.2.g.a.61.6 |
$q$-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 \(\left(\mathbb{Z}/81\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{27}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.04137 | + | 0.121718i | 0.736358 | + | 0.0860679i | 0.476001 | − | 0.879445i | \(-0.342086\pi\) |
0.260357 | + | 0.965513i | \(0.416160\pi\) | |||||||
\(3\) | 1.32397 | − | 1.11673i | 0.764396 | − | 0.644747i | ||||
\(4\) | −0.876460 | − | 0.207725i | −0.438230 | − | 0.103862i | ||||
\(5\) | −0.681964 | + | 0.342495i | −0.304984 | + | 0.153168i | −0.594708 | − | 0.803941i | \(-0.702732\pi\) |
0.289725 | + | 0.957110i | \(0.406436\pi\) | |||||||
\(6\) | 1.51467 | − | 1.00178i | 0.618361 | − | 0.408974i | ||||
\(7\) | −0.831257 | + | 2.77659i | −0.314185 | + | 1.04945i | 0.644410 | + | 0.764680i | \(0.277103\pi\) |
−0.958595 | + | 0.284772i | \(0.908082\pi\) | |||||||
\(8\) | −2.85789 | − | 1.04019i | −1.01042 | − | 0.367761i | ||||
\(9\) | 0.505808 | − | 2.95705i | 0.168603 | − | 0.985684i | ||||
\(10\) | −0.751863 | + | 0.273656i | −0.237760 | + | 0.0865375i | ||||
\(11\) | 0.0951277 | + | 1.63328i | 0.0286821 | + | 0.492452i | 0.981808 | + | 0.189878i | \(0.0608091\pi\) |
−0.953126 | + | 0.302575i | \(0.902154\pi\) | |||||||
\(12\) | −1.39238 | + | 0.703751i | −0.401946 | + | 0.203155i | ||||
\(13\) | 2.44709 | + | 3.28701i | 0.678700 | + | 0.911652i | 0.999368 | − | 0.0355393i | \(-0.0113149\pi\) |
−0.320668 | + | 0.947192i | \(0.603907\pi\) | |||||||
\(14\) | −1.20361 | + | 2.79027i | −0.321677 | + | 0.745731i | ||||
\(15\) | −0.520426 | + | 1.21503i | −0.134373 | + | 0.313719i | ||||
\(16\) | −1.23964 | − | 0.622570i | −0.309910 | − | 0.155642i | ||||
\(17\) | −4.52563 | − | 3.79745i | −1.09763 | − | 0.921018i | −0.100363 | − | 0.994951i | \(-0.532000\pi\) |
−0.997263 | + | 0.0739329i | \(0.976445\pi\) | |||||||
\(18\) | 0.886660 | − | 3.01781i | 0.208988 | − | 0.711305i | ||||
\(19\) | 4.77625 | − | 4.00775i | 1.09575 | − | 0.919441i | 0.0986153 | − | 0.995126i | \(-0.468559\pi\) |
0.997132 | + | 0.0756846i | \(0.0241142\pi\) | |||||||
\(20\) | 0.668859 | − | 0.158522i | 0.149561 | − | 0.0354467i | ||||
\(21\) | 2.00015 | + | 4.60442i | 0.436469 | + | 1.00477i | ||||
\(22\) | −0.0997372 | + | 1.71242i | −0.0212640 | + | 0.365090i | ||||
\(23\) | −1.10812 | − | 3.70138i | −0.231059 | − | 0.771792i | −0.992358 | − | 0.123391i | \(-0.960623\pi\) |
0.761299 | − | 0.648401i | \(-0.224562\pi\) | |||||||
\(24\) | −4.94537 | + | 1.81432i | −1.00947 | + | 0.370347i | ||||
\(25\) | −2.63802 | + | 3.54348i | −0.527604 | + | 0.708695i | ||||
\(26\) | 2.14823 | + | 3.72084i | 0.421302 | + | 0.729716i | ||||
\(27\) | −2.63257 | − | 4.47991i | −0.506637 | − | 0.862159i | ||||
\(28\) | 1.30533 | − | 2.26090i | 0.246684 | − | 0.427269i | ||||
\(29\) | −1.30773 | − | 3.03165i | −0.242839 | − | 0.562964i | 0.752588 | − | 0.658492i | \(-0.228805\pi\) |
−0.995427 | + | 0.0955280i | \(0.969546\pi\) | |||||||
\(30\) | −0.689845 | + | 1.20194i | −0.125948 | + | 0.219444i | ||||
\(31\) | −0.398911 | + | 0.422821i | −0.0716465 | + | 0.0759408i | −0.762205 | − | 0.647336i | \(-0.775883\pi\) |
0.690559 | + | 0.723276i | \(0.257365\pi\) | |||||||
\(32\) | 3.86680 | + | 2.54323i | 0.683559 | + | 0.449584i | ||||
\(33\) | 1.94989 | + | 2.05618i | 0.339431 | + | 0.357936i | ||||
\(34\) | −4.25062 | − | 4.50540i | −0.728976 | − | 0.772669i | ||||
\(35\) | −0.384082 | − | 2.17824i | −0.0649217 | − | 0.368189i | ||||
\(36\) | −1.05757 | + | 2.48667i | −0.176262 | + | 0.414445i | ||||
\(37\) | −0.349184 | + | 1.98032i | −0.0574055 | + | 0.325563i | −0.999964 | − | 0.00847831i | \(-0.997301\pi\) |
0.942559 | + | 0.334041i | \(0.108412\pi\) | |||||||
\(38\) | 5.46165 | − | 3.59218i | 0.885996 | − | 0.582729i | ||||
\(39\) | 6.91059 | + | 1.61916i | 1.10658 | + | 0.259274i | ||||
\(40\) | 2.30523 | − | 0.269443i | 0.364489 | − | 0.0426027i | ||||
\(41\) | 1.45935 | − | 0.170574i | 0.227913 | − | 0.0266392i | −0.00136987 | − | 0.999999i | \(-0.500436\pi\) |
0.229283 | + | 0.973360i | \(0.426362\pi\) | |||||||
\(42\) | 1.52245 | + | 5.03835i | 0.234919 | + | 0.777434i | ||||
\(43\) | 6.54308 | − | 4.30345i | 0.997810 | − | 0.656270i | 0.0581245 | − | 0.998309i | \(-0.481488\pi\) |
0.939686 | + | 0.342039i | \(0.111118\pi\) | |||||||
\(44\) | 0.255897 | − | 1.45126i | 0.0385779 | − | 0.218786i | ||||
\(45\) | 0.667833 | + | 2.18984i | 0.0995547 | + | 0.326442i | ||||
\(46\) | −0.703435 | − | 3.98938i | −0.103716 | − | 0.588201i | ||||
\(47\) | 8.06377 | + | 8.54710i | 1.17622 | + | 1.24672i | 0.962935 | + | 0.269732i | \(0.0869352\pi\) |
0.213286 | + | 0.976990i | \(0.431583\pi\) | |||||||
\(48\) | −2.33649 | + | 0.560081i | −0.337244 | + | 0.0808408i | ||||
\(49\) | −1.17005 | − | 0.769556i | −0.167150 | − | 0.109937i | ||||
\(50\) | −3.17845 | + | 3.36896i | −0.449501 | + | 0.476444i | ||||
\(51\) | −10.2326 | + | 0.0262001i | −1.43284 | + | 0.00366874i | ||||
\(52\) | −1.46198 | − | 3.38925i | −0.202740 | − | 0.470005i | ||||
\(53\) | −0.600204 | + | 1.03958i | −0.0824443 | + | 0.142798i | −0.904299 | − | 0.426899i | \(-0.859606\pi\) |
0.821855 | + | 0.569697i | \(0.192939\pi\) | |||||||
\(54\) | −2.19618 | − | 4.98566i | −0.298862 | − | 0.678463i | ||||
\(55\) | −0.624264 | − | 1.08126i | −0.0841757 | − | 0.145797i | ||||
\(56\) | 5.26381 | − | 7.07052i | 0.703406 | − | 0.944838i | ||||
\(57\) | 1.84803 | − | 10.6400i | 0.244778 | − | 1.40930i | ||||
\(58\) | −0.992817 | − | 3.31624i | −0.130363 | − | 0.435443i | ||||
\(59\) | −0.410185 | + | 7.04260i | −0.0534015 | + | 0.916868i | 0.860124 | + | 0.510086i | \(0.170386\pi\) |
−0.913525 | + | 0.406782i | \(0.866651\pi\) | |||||||
\(60\) | 0.708523 | − | 0.956817i | 0.0914700 | − | 0.123525i | ||||
\(61\) | −11.8325 | + | 2.80435i | −1.51499 | + | 0.359060i | −0.902247 | − | 0.431220i | \(-0.858083\pi\) |
−0.612746 | + | 0.790280i | \(0.709935\pi\) | |||||||
\(62\) | −0.466877 | + | 0.391757i | −0.0592935 | + | 0.0497531i | ||||
\(63\) | 7.79007 | + | 3.86249i | 0.981456 | + | 0.486628i | ||||
\(64\) | 5.84249 | + | 4.90243i | 0.730312 | + | 0.612804i | ||||
\(65\) | −2.79461 | − | 1.40351i | −0.346629 | − | 0.174083i | ||||
\(66\) | 1.78027 | + | 2.37858i | 0.219136 | + | 0.292783i | ||||
\(67\) | −0.928415 | + | 2.15231i | −0.113424 | + | 0.262946i | −0.965467 | − | 0.260526i | \(-0.916104\pi\) |
0.852043 | + | 0.523472i | \(0.175363\pi\) | |||||||
\(68\) | 3.17771 | + | 4.26840i | 0.385354 | + | 0.517620i | ||||
\(69\) | −5.60058 | − | 3.66305i | −0.674231 | − | 0.440980i | ||||
\(70\) | −0.134839 | − | 2.31509i | −0.0161163 | − | 0.276707i | ||||
\(71\) | 10.2267 | − | 3.72222i | 1.21369 | − | 0.441746i | 0.345706 | − | 0.938343i | \(-0.387639\pi\) |
0.867981 | + | 0.496597i | \(0.165417\pi\) | |||||||
\(72\) | −4.52143 | + | 7.92478i | −0.532855 | + | 0.933945i | ||||
\(73\) | −12.9627 | − | 4.71802i | −1.51716 | − | 0.552202i | −0.556726 | − | 0.830696i | \(-0.687943\pi\) |
−0.960438 | + | 0.278494i | \(0.910165\pi\) | |||||||
\(74\) | −0.604670 | + | 2.01974i | −0.0702914 | + | 0.234790i | ||||
\(75\) | 0.464455 | + | 7.63744i | 0.0536306 | + | 0.881895i | ||||
\(76\) | −5.01870 | + | 2.52049i | −0.575685 | + | 0.289120i | ||||
\(77\) | −4.61402 | − | 1.09354i | −0.525817 | − | 0.124621i | ||||
\(78\) | 6.99938 | + | 2.52729i | 0.792524 | + | 0.286159i | ||||
\(79\) | 4.28065 | + | 0.500336i | 0.481611 | + | 0.0562922i | 0.353435 | − | 0.935459i | \(-0.385014\pi\) |
0.128176 | + | 0.991751i | \(0.459088\pi\) | |||||||
\(80\) | 1.05862 | 0.118357 | ||||||||
\(81\) | −8.48832 | − | 2.99140i | −0.943146 | − | 0.332378i | ||||
\(82\) | 1.54049 | 0.170118 | ||||||||
\(83\) | −17.1081 | − | 1.99965i | −1.87786 | − | 0.219490i | −0.901065 | − | 0.433684i | \(-0.857213\pi\) |
−0.976791 | + | 0.214194i | \(0.931288\pi\) | |||||||
\(84\) | −0.796601 | − | 4.45107i | −0.0869163 | − | 0.485652i | ||||
\(85\) | 4.38693 | + | 1.03972i | 0.475829 | + | 0.112774i | ||||
\(86\) | 7.33756 | − | 3.68506i | 0.791229 | − | 0.397370i | ||||
\(87\) | −5.11695 | − | 2.55344i | −0.548594 | − | 0.273758i | ||||
\(88\) | 1.42705 | − | 4.76667i | 0.152124 | − | 0.508129i | ||||
\(89\) | −3.38989 | − | 1.23382i | −0.359327 | − | 0.130784i | 0.156047 | − | 0.987750i | \(-0.450125\pi\) |
−0.515374 | + | 0.856965i | \(0.672347\pi\) | |||||||
\(90\) | 0.428916 | + | 2.36171i | 0.0452117 | + | 0.248947i | ||||
\(91\) | −11.1608 | + | 4.06221i | −1.16997 | + | 0.425836i | ||||
\(92\) | 0.202355 | + | 3.47430i | 0.0210969 | + | 0.362220i | ||||
\(93\) | −0.0559686 | + | 1.00528i | −0.00580367 | + | 0.104243i | ||||
\(94\) | 7.35700 | + | 9.88217i | 0.758817 | + | 1.01927i | ||||
\(95\) | −1.88460 | + | 4.36898i | −0.193355 | + | 0.448248i | ||||
\(96\) | 7.95965 | − | 0.951014i | 0.812378 | − | 0.0970625i | ||||
\(97\) | 9.79245 | + | 4.91795i | 0.994273 | + | 0.499342i | 0.870077 | − | 0.492915i | \(-0.164069\pi\) |
0.124195 | + | 0.992258i | \(0.460365\pi\) | |||||||
\(98\) | −1.12478 | − | 0.943807i | −0.113620 | − | 0.0953389i | ||||
\(99\) | 4.87781 | + | 0.544829i | 0.490238 | + | 0.0547574i | ||||
\(100\) | 3.04819 | − | 2.55773i | 0.304819 | − | 0.255773i | ||||
\(101\) | −8.82409 | + | 2.09135i | −0.878030 | + | 0.208097i | −0.644825 | − | 0.764331i | \(-0.723070\pi\) |
−0.233205 | + | 0.972427i | \(0.574921\pi\) | |||||||
\(102\) | −10.6590 | − | 1.21821i | −1.05540 | − | 0.120620i | ||||
\(103\) | 0.378435 | − | 6.49748i | 0.0372883 | − | 0.640215i | −0.926951 | − | 0.375182i | \(-0.877580\pi\) |
0.964239 | − | 0.265033i | \(-0.0853829\pi\) | |||||||
\(104\) | −3.57440 | − | 11.9393i | −0.350499 | − | 1.17075i | ||||
\(105\) | −2.94102 | − | 2.45501i | −0.287015 | − | 0.239584i | ||||
\(106\) | −0.751569 | + | 1.00953i | −0.0729988 | + | 0.0980544i | ||||
\(107\) | 5.56131 | + | 9.63248i | 0.537632 | + | 0.931207i | 0.999031 | + | 0.0440137i | \(0.0140145\pi\) |
−0.461398 | + | 0.887193i | \(0.652652\pi\) | |||||||
\(108\) | 1.37675 | + | 4.47331i | 0.132478 | + | 0.430445i | ||||
\(109\) | 4.15761 | − | 7.20119i | 0.398227 | − | 0.689749i | −0.595280 | − | 0.803518i | \(-0.702959\pi\) |
0.993507 | + | 0.113769i | \(0.0362923\pi\) | |||||||
\(110\) | −0.518479 | − | 1.20197i | −0.0494350 | − | 0.114603i | ||||
\(111\) | 1.74918 | + | 3.01183i | 0.166025 | + | 0.285871i | ||||
\(112\) | 2.75908 | − | 2.92445i | 0.260708 | − | 0.276335i | ||||
\(113\) | −3.40541 | − | 2.23977i | −0.320354 | − | 0.210700i | 0.379139 | − | 0.925340i | \(-0.376220\pi\) |
−0.699493 | + | 0.714640i | \(0.746591\pi\) | |||||||
\(114\) | 3.21956 | − | 10.8552i | 0.301539 | − | 1.01668i | ||||
\(115\) | 2.02340 | + | 2.14468i | 0.188683 | + | 0.199993i | ||||
\(116\) | 0.516421 | + | 2.92877i | 0.0479485 | + | 0.271929i | ||||
\(117\) | 10.9576 | − | 5.57357i | 1.01303 | − | 0.515277i | ||||
\(118\) | −1.28437 | + | 7.28400i | −0.118235 | + | 0.670547i | ||||
\(119\) | 14.3059 | − | 9.40916i | 1.31142 | − | 0.862536i | ||||
\(120\) | 2.75117 | − | 2.93107i | 0.251146 | − | 0.267569i | ||||
\(121\) | 8.26707 | − | 0.966282i | 0.751552 | − | 0.0878438i | ||||
\(122\) | −12.6633 | + | 1.48013i | −1.14648 | + | 0.134004i | ||||
\(123\) | 1.74166 | − | 1.85555i | 0.157040 | − | 0.167309i | ||||
\(124\) | 0.437459 | − | 0.287722i | 0.0392850 | − | 0.0258382i | ||||
\(125\) | 1.24800 | − | 7.07775i | 0.111624 | − | 0.633053i | ||||
\(126\) | 7.64218 | + | 4.97047i | 0.680820 | + | 0.442804i | ||||
\(127\) | 2.35011 | + | 13.3281i | 0.208538 | + | 1.18268i | 0.891774 | + | 0.452482i | \(0.149461\pi\) |
−0.683235 | + | 0.730198i | \(0.739428\pi\) | |||||||
\(128\) | −0.864648 | − | 0.916474i | −0.0764248 | − | 0.0810056i | ||||
\(129\) | 3.85705 | − | 13.0045i | 0.339594 | − | 1.14499i | ||||
\(130\) | −2.73938 | − | 1.80172i | −0.240260 | − | 0.158021i | ||||
\(131\) | 10.2590 | − | 10.8739i | 0.896334 | − | 0.950058i | −0.102669 | − | 0.994716i | \(-0.532738\pi\) |
0.999002 | + | 0.0446576i | \(0.0142197\pi\) | |||||||
\(132\) | −1.28188 | − | 2.20720i | −0.111573 | − | 0.192112i | ||||
\(133\) | 7.15759 | + | 16.5932i | 0.620642 | + | 1.43881i | ||||
\(134\) | −1.22880 | + | 2.12834i | −0.106152 | + | 0.183860i | ||||
\(135\) | 3.32966 | + | 2.15350i | 0.286572 | + | 0.185343i | ||||
\(136\) | 8.98368 | + | 15.5602i | 0.770344 | + | 1.33427i | ||||
\(137\) | −7.93828 | + | 10.6630i | −0.678213 | + | 0.910999i | −0.999351 | − | 0.0360341i | \(-0.988528\pi\) |
0.321137 | + | 0.947033i | \(0.395935\pi\) | |||||||
\(138\) | −5.38640 | − | 4.49628i | −0.458521 | − | 0.382748i | ||||
\(139\) | −3.68620 | − | 12.3128i | −0.312660 | − | 1.04436i | −0.959495 | − | 0.281726i | \(-0.909093\pi\) |
0.646835 | − | 0.762630i | \(-0.276092\pi\) | |||||||
\(140\) | −0.115841 | + | 1.98892i | −0.00979038 | + | 0.168094i | ||||
\(141\) | 20.2210 | + | 2.31103i | 1.70292 | + | 0.194624i | ||||
\(142\) | 11.1028 | − | 2.63142i | 0.931728 | − | 0.220824i | ||||
\(143\) | −5.13582 | + | 4.30946i | −0.429479 | + | 0.360375i | ||||
\(144\) | −2.46799 | + | 3.35077i | −0.205666 | + | 0.279231i | ||||
\(145\) | 1.93015 | + | 1.61959i | 0.160290 | + | 0.134499i | ||||
\(146\) | −12.9246 | − | 6.49098i | −1.06965 | − | 0.537198i | ||||
\(147\) | −2.40851 | + | 0.287767i | −0.198650 | + | 0.0237346i | ||||
\(148\) | 0.717407 | − | 1.66314i | 0.0589705 | − | 0.136709i | ||||
\(149\) | −6.49241 | − | 8.72082i | −0.531879 | − | 0.714438i | 0.452250 | − | 0.891891i | \(-0.350621\pi\) |
−0.984129 | + | 0.177454i | \(0.943214\pi\) | |||||||
\(150\) | −0.445948 | + | 8.00991i | −0.0364115 | + | 0.654006i | ||||
\(151\) | −0.494326 | − | 8.48724i | −0.0402276 | − | 0.690682i | −0.956788 | − | 0.290786i | \(-0.906083\pi\) |
0.916561 | − | 0.399896i | \(-0.130954\pi\) | |||||||
\(152\) | −17.8188 | + | 6.48551i | −1.44529 | + | 0.526044i | ||||
\(153\) | −13.5184 | + | 11.4617i | −1.09290 | + | 0.926627i | ||||
\(154\) | −4.67179 | − | 1.70039i | −0.376463 | − | 0.137021i | ||||
\(155\) | 0.127229 | − | 0.424973i | 0.0102193 | − | 0.0341347i | ||||
\(156\) | −5.72052 | − | 2.85463i | −0.458008 | − | 0.228554i | ||||
\(157\) | −12.7156 | + | 6.38602i | −1.01482 | + | 0.509660i | −0.876844 | − | 0.480776i | \(-0.840355\pi\) |
−0.137973 | + | 0.990436i | \(0.544059\pi\) | |||||||
\(158\) | 4.39683 | + | 1.04207i | 0.349793 | + | 0.0829024i | ||||
\(159\) | 0.366285 | + | 2.04665i | 0.0290483 | + | 0.162310i | ||||
\(160\) | −3.50806 | − | 0.410033i | −0.277336 | − | 0.0324160i | ||||
\(161\) | 11.1984 | 0.882554 | ||||||||
\(162\) | −8.47534 | − | 4.14833i | −0.665886 | − | 0.325924i | ||||
\(163\) | −2.11478 | −0.165643 | −0.0828213 | − | 0.996564i | \(-0.526393\pi\) | ||||
−0.0828213 | + | 0.996564i | \(0.526393\pi\) | |||||||
\(164\) | −1.31450 | − | 0.153643i | −0.102645 | − | 0.0119975i | ||||
\(165\) | −2.03398 | − | 0.734418i | −0.158345 | − | 0.0571743i | ||||
\(166\) | −17.5724 | − | 4.16474i | −1.36388 | − | 0.323246i | ||||
\(167\) | 7.07141 | − | 3.55140i | 0.547202 | − | 0.274815i | −0.153646 | − | 0.988126i | \(-0.549101\pi\) |
0.700848 | + | 0.713311i | \(0.252805\pi\) | |||||||
\(168\) | −0.926755 | − | 15.2394i | −0.0715007 | − | 1.17575i | ||||
\(169\) | −1.08775 | + | 3.63333i | −0.0836730 | + | 0.279487i | ||||
\(170\) | 4.44185 | + | 1.61670i | 0.340674 | + | 0.123995i | ||||
\(171\) | −9.43526 | − | 16.1508i | −0.721532 | − | 1.23508i | ||||
\(172\) | −6.62868 | + | 2.41264i | −0.505432 | + | 0.183962i | ||||
\(173\) | 1.13925 | + | 19.5602i | 0.0866158 | + | 1.48714i | 0.709436 | + | 0.704770i | \(0.248950\pi\) |
−0.622820 | + | 0.782365i | \(0.714013\pi\) | |||||||
\(174\) | −5.01782 | − | 3.28190i | −0.380400 | − | 0.248800i | ||||
\(175\) | −7.64591 | − | 10.2702i | −0.577977 | − | 0.776357i | ||||
\(176\) | 0.898906 | − | 2.08390i | 0.0677576 | − | 0.157080i | ||||
\(177\) | 7.32164 | + | 9.78227i | 0.550328 | + | 0.735281i | ||||
\(178\) | −3.37994 | − | 1.69747i | −0.253337 | − | 0.127231i | ||||
\(179\) | 13.7606 | + | 11.5465i | 1.02852 | + | 0.863029i | 0.990674 | − | 0.136254i | \(-0.0435065\pi\) |
0.0378443 | + | 0.999284i | \(0.487951\pi\) | |||||||
\(180\) | −0.130445 | − | 2.05803i | −0.00972278 | − | 0.153397i | ||||
\(181\) | −2.39235 | + | 2.00742i | −0.177822 | + | 0.149210i | −0.727354 | − | 0.686262i | \(-0.759250\pi\) |
0.549532 | + | 0.835472i | \(0.314806\pi\) | |||||||
\(182\) | −12.1170 | + | 2.87177i | −0.898170 | + | 0.212870i | ||||
\(183\) | −12.5342 | + | 16.9266i | −0.926552 | + | 1.25125i | ||||
\(184\) | −0.683240 | + | 11.7308i | −0.0503691 | + | 0.864804i | ||||
\(185\) | −0.440119 | − | 1.47010i | −0.0323582 | − | 0.108084i | ||||
\(186\) | −0.180645 | + | 1.04005i | −0.0132455 | + | 0.0762604i | ||||
\(187\) | 5.77179 | − | 7.75286i | 0.422075 | − | 0.566945i | ||||
\(188\) | −5.29213 | − | 9.16623i | −0.385968 | − | 0.668516i | ||||
\(189\) | 14.6272 | − | 3.58560i | 1.06397 | − | 0.260814i | ||||
\(190\) | −2.49434 | + | 4.32033i | −0.180959 | + | 0.313429i | ||||
\(191\) | 3.46974 | + | 8.04377i | 0.251062 | + | 0.582027i | 0.996411 | − | 0.0846477i | \(-0.0269765\pi\) |
−0.745349 | + | 0.666674i | \(0.767717\pi\) | |||||||
\(192\) | 13.2100 | − | 0.0338238i | 0.953351 | − | 0.00244102i | ||||
\(193\) | 12.1429 | − | 12.8708i | 0.874068 | − | 0.926458i | −0.123761 | − | 0.992312i | \(-0.539496\pi\) |
0.997829 | + | 0.0658539i | \(0.0209771\pi\) | |||||||
\(194\) | 9.59893 | + | 6.31331i | 0.689163 | + | 0.453270i | ||||
\(195\) | −5.26733 | + | 1.26263i | −0.377201 | + | 0.0904191i | ||||
\(196\) | 0.865648 | + | 0.917533i | 0.0618320 | + | 0.0655381i | ||||
\(197\) | 1.12942 | + | 6.40526i | 0.0804679 | + | 0.456356i | 0.998243 | + | 0.0592552i | \(0.0188726\pi\) |
−0.917775 | + | 0.397101i | \(0.870016\pi\) | |||||||
\(198\) | 5.01327 | + | 1.16109i | 0.356278 | + | 0.0825147i | ||||
\(199\) | 2.77478 | − | 15.7366i | 0.196699 | − | 1.11554i | −0.713279 | − | 0.700880i | \(-0.752791\pi\) |
0.909978 | − | 0.414656i | \(-0.136098\pi\) | |||||||
\(200\) | 11.2250 | − | 7.38282i | 0.793730 | − | 0.522044i | ||||
\(201\) | 1.17436 | + | 3.88639i | 0.0828329 | + | 0.274125i | ||||
\(202\) | −9.44368 | + | 1.10381i | −0.664455 | + | 0.0776636i | ||||
\(203\) | 9.50472 | − | 1.11094i | 0.667100 | − | 0.0779728i | ||||
\(204\) | 8.97387 | + | 2.10259i | 0.628297 | + | 0.147211i | ||||
\(205\) | −0.936806 | + | 0.616147i | −0.0654294 | + | 0.0430336i | ||||
\(206\) | 1.18495 | − | 6.72019i | 0.0825595 | − | 0.468218i | ||||
\(207\) | −11.5057 | + | 1.40458i | −0.799700 | + | 0.0976252i | ||||
\(208\) | −0.987111 | − | 5.59818i | −0.0684438 | − | 0.388164i | ||||
\(209\) | 7.00013 | + | 7.41970i | 0.484209 | + | 0.513232i | ||||
\(210\) | −2.76387 | − | 2.91454i | −0.190725 | − | 0.201122i | ||||
\(211\) | −10.2460 | − | 6.73887i | −0.705361 | − | 0.463923i | 0.145470 | − | 0.989363i | \(-0.453530\pi\) |
−0.850831 | + | 0.525440i | \(0.823901\pi\) | |||||||
\(212\) | 0.742002 | − | 0.786476i | 0.0509609 | − | 0.0540154i | ||||
\(213\) | 9.38316 | − | 16.3486i | 0.642924 | − | 1.12019i | ||||
\(214\) | 4.61892 | + | 10.7079i | 0.315743 | + | 0.731974i | ||||
\(215\) | −2.98823 | + | 5.17577i | −0.203796 | + | 0.352985i | ||||
\(216\) | 2.86363 | + | 15.5414i | 0.194846 | + | 1.05746i | ||||
\(217\) | −0.842402 | − | 1.45908i | −0.0571860 | − | 0.0990491i | ||||
\(218\) | 5.20612 | − | 6.99303i | 0.352603 | − | 0.473628i | ||||
\(219\) | −22.4310 | + | 8.22931i | −1.51574 | + | 0.556085i | ||||
\(220\) | 0.322538 | + | 1.07735i | 0.0217455 | + | 0.0726351i | ||||
\(221\) | 1.40765 | − | 24.1685i | 0.0946891 | − | 1.62575i | ||||
\(222\) | 1.45494 | + | 3.34933i | 0.0976495 | + | 0.224793i | ||||
\(223\) | 1.70868 | − | 0.404965i | 0.114422 | − | 0.0271184i | −0.173006 | − | 0.984921i | \(-0.555348\pi\) |
0.287428 | + | 0.957802i | \(0.407200\pi\) | |||||||
\(224\) | −10.2758 | + | 8.62243i | −0.686582 | + | 0.576110i | ||||
\(225\) | 9.14391 | + | 9.59309i | 0.609594 | + | 0.639539i | ||||
\(226\) | −3.27366 | − | 2.74693i | −0.217761 | − | 0.182723i | ||||
\(227\) | −15.8381 | − | 7.95420i | −1.05121 | − | 0.527939i | −0.162645 | − | 0.986685i | \(-0.552003\pi\) |
−0.888568 | + | 0.458746i | \(0.848299\pi\) | |||||||
\(228\) | −3.82991 | + | 8.94161i | −0.253642 | + | 0.592173i | ||||
\(229\) | 1.44583 | − | 3.35182i | 0.0955434 | − | 0.221495i | −0.863741 | − | 0.503936i | \(-0.831885\pi\) |
0.959285 | + | 0.282441i | \(0.0911441\pi\) | |||||||
\(230\) | 1.84606 | + | 2.47969i | 0.121726 | + | 0.163506i | ||||
\(231\) | −7.33004 | + | 3.70482i | −0.482281 | + | 0.243759i | ||||
\(232\) | 0.583855 | + | 10.0244i | 0.0383319 | + | 0.658134i | ||||
\(233\) | 21.1172 | − | 7.68604i | 1.38343 | − | 0.503529i | 0.460217 | − | 0.887806i | \(-0.347772\pi\) |
0.923218 | + | 0.384277i | \(0.125549\pi\) | |||||||
\(234\) | 12.0893 | − | 4.47039i | 0.790303 | − | 0.292238i | ||||
\(235\) | −8.42654 | − | 3.06701i | −0.549687 | − | 0.200070i | ||||
\(236\) | 1.82243 | − | 6.08735i | 0.118630 | − | 0.396253i | ||||
\(237\) | 6.22621 | − | 4.11792i | 0.404436 | − | 0.267487i | ||||
\(238\) | 16.0430 | − | 8.05710i | 1.03991 | − | 0.522264i | ||||
\(239\) | 3.53349 | + | 0.837452i | 0.228562 | + | 0.0541702i | 0.343301 | − | 0.939225i | \(-0.388455\pi\) |
−0.114739 | + | 0.993396i | \(0.536603\pi\) | |||||||
\(240\) | 1.40158 | − | 1.18219i | 0.0904715 | − | 0.0763102i | ||||
\(241\) | −5.11223 | − | 0.597534i | −0.329308 | − | 0.0384906i | −0.0501673 | − | 0.998741i | \(-0.515975\pi\) |
−0.279140 | + | 0.960250i | \(0.590050\pi\) | |||||||
\(242\) | 8.72667 | 0.560972 | ||||||||
\(243\) | −14.5789 | + | 5.51866i | −0.935237 | + | 0.354022i | ||||
\(244\) | 10.9532 | 0.701208 | ||||||||
\(245\) | 1.06150 | + | 0.124072i | 0.0678169 | + | 0.00792666i | ||||
\(246\) | 2.03956 | − | 1.72031i | 0.130038 | − | 0.109683i | ||||
\(247\) | 24.8614 | + | 5.89226i | 1.58189 | + | 0.374916i | ||||
\(248\) | 1.57985 | − | 0.793432i | 0.100321 | − | 0.0503830i | ||||
\(249\) | −24.8837 | + | 16.4577i | −1.57694 | + | 1.04296i | ||||
\(250\) | 2.16112 | − | 7.21863i | 0.136681 | − | 0.456546i | ||||
\(251\) | −6.68026 | − | 2.43142i | −0.421655 | − | 0.153470i | 0.122474 | − | 0.992472i | \(-0.460917\pi\) |
−0.544128 | + | 0.839002i | \(0.683140\pi\) | |||||||
\(252\) | −6.02534 | − | 5.00351i | −0.379561 | − | 0.315191i | ||||
\(253\) | 5.93998 | − | 2.16197i | 0.373443 | − | 0.135922i | ||||
\(254\) | 0.825048 | + | 14.1655i | 0.0517681 | + | 0.888824i | ||||
\(255\) | 6.96926 | − | 3.52247i | 0.436432 | − | 0.220586i | ||||
\(256\) | −9.89772 | − | 13.2949i | −0.618608 | − | 0.830934i | ||||
\(257\) | −0.597403 | + | 1.38493i | −0.0372650 | + | 0.0863899i | −0.935832 | − | 0.352446i | \(-0.885350\pi\) |
0.898567 | + | 0.438836i | \(0.144609\pi\) | |||||||
\(258\) | 5.59949 | − | 13.0730i | 0.348609 | − | 0.813891i | ||||
\(259\) | −5.20828 | − | 2.61569i | −0.323626 | − | 0.162531i | ||||
\(260\) | 2.15782 | + | 1.81063i | 0.133822 | + | 0.112290i | ||||
\(261\) | −9.62622 | + | 2.33358i | −0.595848 | + | 0.144445i | ||||
\(262\) | 12.0069 | − | 10.0750i | 0.741792 | − | 0.622437i | ||||
\(263\) | −2.29879 | + | 0.544823i | −0.141749 | + | 0.0335952i | −0.300878 | − | 0.953663i | \(-0.597280\pi\) |
0.159129 | + | 0.987258i | \(0.449132\pi\) | |||||||
\(264\) | −3.43374 | − | 7.90458i | −0.211332 | − | 0.486493i | ||||
\(265\) | 0.0532650 | − | 0.914525i | 0.00327205 | − | 0.0561788i | ||||
\(266\) | 5.43399 | + | 18.1508i | 0.333179 | + | 1.11290i | ||||
\(267\) | −5.86597 | + | 2.15206i | −0.358991 | + | 0.131704i | ||||
\(268\) | 1.26081 | − | 1.69356i | 0.0770160 | − | 0.103450i | ||||
\(269\) | −4.07527 | − | 7.05858i | −0.248474 | − | 0.430369i | 0.714629 | − | 0.699504i | \(-0.246596\pi\) |
−0.963103 | + | 0.269135i | \(0.913262\pi\) | |||||||
\(270\) | 3.20528 | + | 2.64786i | 0.195067 | + | 0.161144i | ||||
\(271\) | 1.47740 | − | 2.55894i | 0.0897458 | − | 0.155444i | −0.817658 | − | 0.575704i | \(-0.804728\pi\) |
0.907404 | + | 0.420260i | \(0.138061\pi\) | |||||||
\(272\) | 3.24596 | + | 7.52499i | 0.196815 | + | 0.456269i | ||||
\(273\) | −10.2402 | + | 17.8419i | −0.619767 | + | 1.07984i | ||||
\(274\) | −9.56454 | + | 10.1378i | −0.577815 | + | 0.612448i | ||||
\(275\) | −6.03844 | − | 3.97154i | −0.364131 | − | 0.239493i | ||||
\(276\) | 4.14778 | + | 4.37390i | 0.249667 | + | 0.263278i | ||||
\(277\) | −8.98730 | − | 9.52598i | −0.539995 | − | 0.572361i | 0.398713 | − | 0.917076i | \(-0.369457\pi\) |
−0.938707 | + | 0.344715i | \(0.887976\pi\) | |||||||
\(278\) | −2.34000 | − | 13.2708i | −0.140344 | − | 0.795929i | ||||
\(279\) | 1.04853 | + | 1.39347i | 0.0627739 | + | 0.0834246i | ||||
\(280\) | −1.16811 | + | 6.62467i | −0.0698078 | + | 0.395900i | ||||
\(281\) | 16.2140 | − | 10.6641i | 0.967247 | − | 0.636168i | 0.0355358 | − | 0.999368i | \(-0.488686\pi\) |
0.931711 | + | 0.363200i | \(0.118316\pi\) | |||||||
\(282\) | 20.7762 | + | 4.86791i | 1.23721 | + | 0.289880i | ||||
\(283\) | −7.96156 | + | 0.930573i | −0.473266 | + | 0.0553168i | −0.349383 | − | 0.936980i | \(-0.613609\pi\) |
−0.123883 | + | 0.992297i | \(0.539535\pi\) | |||||||
\(284\) | −9.73650 | + | 1.13803i | −0.577755 | + | 0.0675299i | ||||
\(285\) | 2.38384 | + | 7.88901i | 0.141207 | + | 0.467305i | ||||
\(286\) | −5.87281 | + | 3.86261i | −0.347267 | + | 0.228401i | ||||
\(287\) | −0.739484 | + | 4.19382i | −0.0436503 | + | 0.247553i | ||||
\(288\) | 9.47633 | − | 10.1479i | 0.558398 | − | 0.597972i | ||||
\(289\) | 3.10865 | + | 17.6300i | 0.182862 | + | 1.03706i | ||||
\(290\) | 1.81286 | + | 1.92152i | 0.106455 | + | 0.112836i | ||||
\(291\) | 18.4570 | − | 4.42433i | 1.08197 | − | 0.259359i | ||||
\(292\) | 10.3812 | + | 6.82782i | 0.607513 | + | 0.399568i | ||||
\(293\) | −17.5610 | + | 18.6136i | −1.02592 | + | 1.08742i | −0.0297905 | + | 0.999556i | \(0.509484\pi\) |
−0.996133 | + | 0.0878591i | \(0.971997\pi\) | |||||||
\(294\) | −2.54317 | + | 0.00651168i | −0.148320 | + | 0.000379769i | ||||
\(295\) | −2.13232 | − | 4.94328i | −0.124149 | − | 0.287809i | ||||
\(296\) | 3.05783 | − | 5.29631i | 0.177733 | − | 0.307842i | ||||
\(297\) | 7.06651 | − | 4.72588i | 0.410041 | − | 0.274223i | ||||
\(298\) | −5.69950 | − | 9.87182i | −0.330163 | − | 0.571859i | ||||
\(299\) | 9.45481 | − | 12.7000i | 0.546786 | − | 0.734461i | ||||
\(300\) | 1.17941 | − | 6.79039i | 0.0680932 | − | 0.392043i | ||||
\(301\) | 6.50994 | + | 21.7447i | 0.375227 | + | 1.25334i | ||||
\(302\) | 0.518279 | − | 8.89850i | 0.0298236 | − | 0.512051i | ||||
\(303\) | −9.34738 | + | 12.6231i | −0.536993 | + | 0.725176i | ||||
\(304\) | −8.41593 | + | 1.99461i | −0.482686 | + | 0.114399i | ||||
\(305\) | 7.10884 | − | 5.96503i | 0.407051 | − | 0.341556i | ||||
\(306\) | −15.4727 | + | 10.2904i | −0.884515 | + | 0.588265i | ||||
\(307\) | 2.42628 | + | 2.03589i | 0.138475 | + | 0.116195i | 0.709394 | − | 0.704812i | \(-0.248969\pi\) |
−0.570919 | + | 0.821006i | \(0.693413\pi\) | |||||||
\(308\) | 3.81685 | + | 1.91689i | 0.217485 | + | 0.109225i | ||||
\(309\) | −6.75492 | − | 9.02509i | −0.384274 | − | 0.513420i | ||||
\(310\) | 0.184219 | − | 0.427067i | 0.0104629 | − | 0.0242558i | ||||
\(311\) | 0.767524 | + | 1.03096i | 0.0435223 | + | 0.0584606i | 0.823352 | − | 0.567532i | \(-0.192102\pi\) |
−0.779829 | + | 0.625992i | \(0.784694\pi\) | |||||||
\(312\) | −18.0655 | − | 11.8157i | −1.02276 | − | 0.668931i | ||||
\(313\) | −0.606274 | − | 10.4093i | −0.0342686 | − | 0.588369i | −0.971113 | − | 0.238622i | \(-0.923304\pi\) |
0.936844 | − | 0.349748i | \(-0.113733\pi\) | |||||||
\(314\) | −14.0189 | + | 5.10247i | −0.791134 | + | 0.287949i | ||||
\(315\) | −6.63543 | + | 0.0339798i | −0.373864 | + | 0.00191454i | ||||
\(316\) | −3.64788 | − | 1.32772i | −0.205210 | − | 0.0746902i | ||||
\(317\) | 7.77990 | − | 25.9867i | 0.436963 | − | 1.45956i | −0.402137 | − | 0.915579i | \(-0.631732\pi\) |
0.839100 | − | 0.543978i | \(-0.183082\pi\) | |||||||
\(318\) | 0.132323 | + | 2.17590i | 0.00742028 | + | 0.122018i | ||||
\(319\) | 4.82713 | − | 2.42428i | 0.270268 | − | 0.135734i | ||||
\(320\) | −5.66343 | − | 1.34226i | −0.316595 | − | 0.0750345i | ||||
\(321\) | 18.1199 | + | 6.54263i | 1.01136 | + | 0.365174i | ||||
\(322\) | 11.6616 | + | 1.36305i | 0.649875 | + | 0.0759595i | ||||
\(323\) | −36.8348 | −2.04954 | ||||||||
\(324\) | 6.81828 | + | 4.38508i | 0.378793 | + | 0.243615i | ||||
\(325\) | −18.1029 | −1.00417 | ||||||||
\(326\) | −2.20227 | − | 0.257408i | −0.121972 | − | 0.0142565i | ||||
\(327\) | −2.53726 | − | 14.1771i | −0.140311 | − | 0.783997i | ||||
\(328\) | −4.34810 | − | 1.03052i | −0.240083 | − | 0.0569008i | ||||
\(329\) | −30.4348 | + | 15.2850i | −1.67793 | + | 0.842687i | ||||
\(330\) | −2.02873 | − | 1.01237i | −0.111678 | − | 0.0557292i | ||||
\(331\) | 1.79838 | − | 6.00700i | 0.0988479 | − | 0.330175i | −0.894234 | − | 0.447600i | \(-0.852279\pi\) |
0.993082 | + | 0.117425i | \(0.0374640\pi\) | |||||||
\(332\) | 14.5792 | + | 5.30638i | 0.800136 | + | 0.291226i | ||||
\(333\) | 5.67929 | + | 2.03422i | 0.311223 | + | 0.111474i | ||||
\(334\) | 7.79620 | − | 2.83759i | 0.426589 | − | 0.155266i | ||||
\(335\) | −0.104009 | − | 1.78577i | −0.00568264 | − | 0.0975672i | ||||
\(336\) | 0.387108 | − | 6.95305i | 0.0211185 | − | 0.379320i | ||||
\(337\) | 3.31718 | + | 4.45575i | 0.180699 | + | 0.242720i | 0.883239 | − | 0.468924i | \(-0.155358\pi\) |
−0.702540 | + | 0.711644i | \(0.747951\pi\) | |||||||
\(338\) | −1.57499 | + | 3.65123i | −0.0856681 | + | 0.198601i | ||||
\(339\) | −7.00990 | + | 0.837539i | −0.380726 | + | 0.0454889i | ||||
\(340\) | −3.62899 | − | 1.82255i | −0.196810 | − | 0.0988415i | ||||
\(341\) | −0.728531 | − | 0.611310i | −0.0394522 | − | 0.0331043i | ||||
\(342\) | −7.85972 | − | 17.9673i | −0.425005 | − | 0.971562i | ||||
\(343\) | −12.4325 | + | 10.4321i | −0.671292 | + | 0.563281i | ||||
\(344\) | −23.1758 | + | 5.49276i | −1.24955 | + | 0.296150i | ||||
\(345\) | 5.07397 | + | 0.579897i | 0.273174 | + | 0.0312206i | ||||
\(346\) | −1.19446 | + | 20.5080i | −0.0642144 | + | 1.10252i | ||||
\(347\) | 7.77380 | + | 25.9663i | 0.417320 | + | 1.39394i | 0.865907 | + | 0.500206i | \(0.166742\pi\) |
−0.448587 | + | 0.893739i | \(0.648073\pi\) | |||||||
\(348\) | 3.95439 | + | 3.30091i | 0.211977 | + | 0.176947i | ||||
\(349\) | −12.5753 | + | 16.8915i | −0.673139 | + | 0.904183i | −0.999152 | − | 0.0411824i | \(-0.986888\pi\) |
0.326012 | + | 0.945366i | \(0.394295\pi\) | |||||||
\(350\) | −6.71212 | − | 11.6257i | −0.358778 | − | 0.621422i | ||||
\(351\) | 8.28339 | − | 19.6160i | 0.442135 | − | 1.04702i | ||||
\(352\) | −3.78597 | + | 6.55749i | −0.201793 | + | 0.349515i | ||||
\(353\) | 8.03262 | + | 18.6217i | 0.427533 | + | 0.991134i | 0.986770 | + | 0.162126i | \(0.0518350\pi\) |
−0.559237 | + | 0.829008i | \(0.688906\pi\) | |||||||
\(354\) | 6.43383 | + | 11.0781i | 0.341954 | + | 0.588795i | ||||
\(355\) | −5.69941 | + | 6.04102i | −0.302493 | + | 0.320624i | ||||
\(356\) | 2.71481 | + | 1.78556i | 0.143884 | + | 0.0946343i | ||||
\(357\) | 8.43314 | − | 28.4334i | 0.446329 | − | 1.50486i | ||||
\(358\) | 12.9244 | + | 13.6991i | 0.683078 | + | 0.724021i | ||||
\(359\) | 0.901880 | + | 5.11482i | 0.0475994 | + | 0.269950i | 0.999314 | − | 0.0370347i | \(-0.0117912\pi\) |
−0.951715 | + | 0.306984i | \(0.900680\pi\) | |||||||
\(360\) | 0.369249 | − | 6.95298i | 0.0194611 | − | 0.366454i | ||||
\(361\) | 3.45119 | − | 19.5727i | 0.181642 | − | 1.03014i | ||||
\(362\) | −2.73566 | + | 1.79927i | −0.143783 | + | 0.0945675i | ||||
\(363\) | 9.86630 | − | 10.5115i | 0.517846 | − | 0.551708i | ||||
\(364\) | 10.6258 | − | 1.24198i | 0.556946 | − | 0.0650976i | ||||
\(365\) | 10.4560 | − | 1.22213i | 0.547290 | − | 0.0639690i | ||||
\(366\) | −15.1129 | + | 16.1012i | −0.789966 | + | 0.841622i | ||||
\(367\) | −4.65813 | + | 3.06370i | −0.243152 | + | 0.159924i | −0.665236 | − | 0.746633i | \(-0.731669\pi\) |
0.422084 | + | 0.906557i | \(0.361299\pi\) | |||||||
\(368\) | −0.930699 | + | 5.27826i | −0.0485160 | + | 0.275148i | ||||
\(369\) | 0.233757 | − | 4.40166i | 0.0121689 | − | 0.229141i | ||||
\(370\) | −0.279387 | − | 1.58448i | −0.0145247 | − | 0.0823734i | ||||
\(371\) | −2.38757 | − | 2.53068i | −0.123957 | − | 0.131386i | ||||
\(372\) | 0.257876 | − | 0.869462i | 0.0133702 | − | 0.0450795i | ||||
\(373\) | 27.6606 | + | 18.1927i | 1.43221 | + | 0.941980i | 0.999175 | + | 0.0406031i | \(0.0129279\pi\) |
0.433036 | + | 0.901377i | \(0.357442\pi\) | |||||||
\(374\) | 6.95422 | − | 7.37104i | 0.359594 | − | 0.381147i | ||||
\(375\) | −6.25165 | − | 10.7644i | −0.322834 | − | 0.555873i | ||||
\(376\) | −14.1548 | − | 32.8144i | −0.729976 | − | 1.69228i | ||||
\(377\) | 6.76495 | − | 11.7172i | 0.348413 | − | 0.603468i | ||||
\(378\) | 15.6687 | − | 1.95353i | 0.805913 | − | 0.100479i | ||||
\(379\) | 0.872014 | + | 1.51037i | 0.0447923 | + | 0.0775826i | 0.887552 | − | 0.460707i | \(-0.152404\pi\) |
−0.842760 | + | 0.538289i | \(0.819071\pi\) | |||||||
\(380\) | 2.55932 | − | 3.43776i | 0.131290 | − | 0.176353i | ||||
\(381\) | 17.9955 | + | 15.0216i | 0.921935 | + | 0.769581i | ||||
\(382\) | 2.63420 | + | 8.79884i | 0.134777 | + | 0.450188i | ||||
\(383\) | −1.79441 | + | 30.8088i | −0.0916901 | + | 1.57426i | 0.568196 | + | 0.822893i | \(0.307641\pi\) |
−0.659886 | + | 0.751365i | \(0.729396\pi\) | |||||||
\(384\) | −2.16823 | − | 0.247804i | −0.110647 | − | 0.0126457i | ||||
\(385\) | 3.52113 | − | 0.834523i | 0.179453 | − | 0.0425312i | ||||
\(386\) | 14.2119 | − | 11.9252i | 0.723365 | − | 0.606975i | ||||
\(387\) | −9.41598 | − | 21.5249i | −0.478641 | − | 1.09417i | ||||
\(388\) | −7.56111 | − | 6.34452i | −0.383857 | − | 0.322094i | ||||
\(389\) | −23.6214 | − | 11.8631i | −1.19765 | − | 0.601484i | −0.265698 | − | 0.964056i | \(-0.585602\pi\) |
−0.931956 | + | 0.362572i | \(0.881899\pi\) | |||||||
\(390\) | −5.63891 | + | 0.673734i | −0.285537 | + | 0.0341158i | ||||
\(391\) | −9.04088 | + | 20.9591i | −0.457217 | + | 1.05995i | ||||
\(392\) | 2.54340 | + | 3.41637i | 0.128461 | + | 0.172553i | ||||
\(393\) | 1.43937 | − | 25.8533i | 0.0726069 | − | 1.30413i | ||||
\(394\) | 0.396503 | + | 6.80770i | 0.0199755 | + | 0.342967i | ||||
\(395\) | −3.09061 | + | 1.12489i | −0.155506 | + | 0.0565994i | ||||
\(396\) | −4.16203 | − | 1.49076i | −0.209150 | − | 0.0749136i | ||||
\(397\) | 32.2517 | + | 11.7387i | 1.61867 | + | 0.589146i | 0.983127 | − | 0.182923i | \(-0.0585561\pi\) |
0.635538 | + | 0.772069i | \(0.280778\pi\) | |||||||
\(398\) | 4.80499 | − | 16.0498i | 0.240853 | − | 0.804504i | ||||
\(399\) | 28.0066 | + | 13.9758i | 1.40208 | + | 0.699664i | ||||
\(400\) | 5.47625 | − | 2.75028i | 0.273813 | − | 0.137514i | ||||
\(401\) | −0.177018 | − | 0.0419540i | −0.00883985 | − | 0.00209508i | 0.226194 | − | 0.974082i | \(-0.427372\pi\) |
−0.235033 | + | 0.971987i | \(0.575520\pi\) | |||||||
\(402\) | 0.749894 | + | 4.19010i | 0.0374013 | + | 0.208983i | ||||
\(403\) | −2.36598 | − | 0.276544i | −0.117858 | − | 0.0137756i | ||||
\(404\) | 8.16839 | 0.406393 | ||||||||
\(405\) | 6.81327 | − | 0.867178i | 0.338554 | − | 0.0430904i | ||||
\(406\) | 10.0331 | 0.497935 | ||||||||
\(407\) | −3.26763 | − | 0.381931i | −0.161970 | − | 0.0189316i | ||||
\(408\) | 29.2707 | + | 10.5689i | 1.44912 | + | 0.523238i | ||||
\(409\) | −5.88878 | − | 1.39567i | −0.291181 | − | 0.0690112i | 0.0824292 | − | 0.996597i | \(-0.473732\pi\) |
−0.373610 | + | 0.927586i | \(0.621880\pi\) | |||||||
\(410\) | −1.05056 | + | 0.527609i | −0.0518832 | + | 0.0260567i | ||||
\(411\) | 1.39763 | + | 22.9824i | 0.0689399 | + | 1.13364i | ||||
\(412\) | −1.68137 | + | 5.61617i | −0.0828351 | + | 0.276689i | ||||
\(413\) | −19.2134 | − | 6.99312i | −0.945432 | − | 0.344109i | ||||
\(414\) | −12.1526 | + | 0.0622329i | −0.597268 | + | 0.00305858i | ||||
\(415\) | 12.3520 | − | 4.49575i | 0.606334 | − | 0.220688i | ||||
\(416\) | 1.10276 | + | 18.9337i | 0.0540674 | + | 0.928301i | ||||
\(417\) | −18.6305 | − | 12.1853i | −0.912341 | − | 0.596715i | ||||
\(418\) | 6.38659 | + | 8.57868i | 0.312378 | + | 0.419597i | ||||
\(419\) | 8.24775 | − | 19.1204i | 0.402929 | − | 0.934095i | −0.589097 | − | 0.808062i | \(-0.700516\pi\) |
0.992026 | − | 0.126032i | \(-0.0402243\pi\) | |||||||
\(420\) | 2.06772 | + | 2.76264i | 0.100895 | + | 0.134803i | ||||
\(421\) | −10.6222 | − | 5.33467i | −0.517694 | − | 0.259996i | 0.170712 | − | 0.985321i | \(-0.445393\pi\) |
−0.688406 | + | 0.725325i | \(0.741689\pi\) | |||||||
\(422\) | −9.84956 | − | 8.26476i | −0.479469 | − | 0.402322i | ||||
\(423\) | 29.3529 | − | 19.5218i | 1.42719 | − | 0.949182i | ||||
\(424\) | 2.79667 | − | 2.34669i | 0.135818 | − | 0.113965i | ||||
\(425\) | 25.3949 | − | 6.01870i | 1.23183 | − | 0.291950i | ||||
\(426\) | 11.7612 | − | 15.8828i | 0.569834 | − | 0.769526i | ||||
\(427\) | 2.04930 | − | 35.1850i | 0.0991724 | − | 1.70272i | ||||
\(428\) | −2.87336 | − | 9.59770i | −0.138889 | − | 0.463922i | ||||
\(429\) | −1.98716 | + | 11.4410i | −0.0959409 | + | 0.552374i | ||||
\(430\) | −3.74183 | + | 5.02615i | −0.180447 | + | 0.242383i | ||||
\(431\) | 5.15721 | + | 8.93256i | 0.248414 | + | 0.430266i | 0.963086 | − | 0.269194i | \(-0.0867573\pi\) |
−0.714672 | + | 0.699460i | \(0.753424\pi\) | |||||||
\(432\) | 0.474372 | + | 7.19242i | 0.0228232 | + | 0.346046i | ||||
\(433\) | 0.0197177 | − | 0.0341520i | 0.000947570 | − | 0.00164124i | −0.865551 | − | 0.500820i | \(-0.833032\pi\) |
0.866499 | + | 0.499179i | \(0.166365\pi\) | |||||||
\(434\) | −0.699653 | − | 1.62198i | −0.0335844 | − | 0.0778574i | ||||
\(435\) | 4.36412 | − | 0.0111742i | 0.209243 | − | 0.000535760i | ||||
\(436\) | −5.13985 | + | 5.44792i | −0.246154 | + | 0.260908i | ||||
\(437\) | −20.1269 | − | 13.2377i | −0.962799 | − | 0.633243i | ||||
\(438\) | −24.3605 | + | 5.83947i | −1.16399 | + | 0.279021i | ||||
\(439\) | 3.08297 | + | 3.26776i | 0.147142 | + | 0.155962i | 0.796753 | − | 0.604306i | \(-0.206549\pi\) |
−0.649610 | + | 0.760267i | \(0.725068\pi\) | |||||||
\(440\) | 0.659367 | + | 3.73946i | 0.0314341 | + | 0.178272i | ||||
\(441\) | −2.86744 | + | 3.07066i | −0.136545 | + | 0.146222i | ||||
\(442\) | 4.40763 | − | 24.9969i | 0.209650 | − | 1.18898i | ||||
\(443\) | 6.93445 | − | 4.56086i | 0.329466 | − | 0.216693i | −0.373989 | − | 0.927433i | \(-0.622010\pi\) |
0.703455 | + | 0.710740i | \(0.251640\pi\) | |||||||
\(444\) | −0.907454 | − | 3.00310i | −0.0430659 | − | 0.142521i | ||||
\(445\) | 2.73436 | − | 0.319601i | 0.129621 | − | 0.0151505i | ||||
\(446\) | 1.82865 | − | 0.213739i | 0.0865893 | − | 0.0101208i | ||||
\(447\) | −18.3346 | − | 4.29583i | −0.867198 | − | 0.203186i | ||||
\(448\) | −18.4687 | + | 12.1470i | −0.872562 | + | 0.573893i | ||||
\(449\) | −4.67637 | + | 26.5210i | −0.220691 | + | 1.25160i | 0.650061 | + | 0.759882i | \(0.274743\pi\) |
−0.870752 | + | 0.491722i | \(0.836368\pi\) | |||||||
\(450\) | 8.35452 | + | 11.1029i | 0.393836 | + | 0.523396i | ||||
\(451\) | 0.417420 | + | 2.36731i | 0.0196555 | + | 0.111472i | ||||
\(452\) | 2.51945 | + | 2.67046i | 0.118505 | + | 0.125608i | ||||
\(453\) | −10.1325 | − | 10.6848i | −0.476065 | − | 0.502018i | ||||
\(454\) | −15.5251 | − | 10.2110i | −0.728630 | − | 0.479228i | ||||
\(455\) | 6.22000 | − | 6.59281i | 0.291598 | − | 0.309076i | ||||
\(456\) | −16.3490 | + | 28.4855i | −0.765612 | + | 1.33395i | ||||
\(457\) | −10.2817 | − | 23.8356i | −0.480957 | − | 1.11498i | −0.970084 | − | 0.242771i | \(-0.921944\pi\) |
0.489126 | − | 0.872213i | \(-0.337316\pi\) | |||||||
\(458\) | 1.91362 | − | 3.31449i | 0.0894177 | − | 0.154876i | ||||
\(459\) | −5.09824 | + | 30.2715i | −0.237965 | + | 1.41295i | ||||
\(460\) | −1.32793 | − | 2.30004i | −0.0619150 | − | 0.107240i | ||||
\(461\) | −1.48414 | + | 1.99354i | −0.0691232 | + | 0.0928486i | −0.835340 | − | 0.549733i | \(-0.814729\pi\) |
0.766217 | + | 0.642582i | \(0.222137\pi\) | |||||||
\(462\) | −8.08420 | + | 2.96587i | −0.376111 | + | 0.137985i | ||||
\(463\) | 5.79185 | + | 19.3461i | 0.269170 | + | 0.899091i | 0.980548 | + | 0.196281i | \(0.0628864\pi\) |
−0.711378 | + | 0.702810i | \(0.751928\pi\) | |||||||
\(464\) | −0.266306 | + | 4.57230i | −0.0123630 | + | 0.212264i | ||||
\(465\) | −0.306135 | − | 0.704734i | −0.0141967 | − | 0.0326812i | ||||
\(466\) | 22.9263 | − | 5.43363i | 1.06204 | − | 0.251708i | ||||
\(467\) | 7.13253 | − | 5.98491i | 0.330054 | − | 0.276948i | −0.462668 | − | 0.886532i | \(-0.653108\pi\) |
0.792722 | + | 0.609583i | \(0.208663\pi\) | |||||||
\(468\) | −10.7617 | + | 2.60884i | −0.497459 | + | 0.120594i | ||||
\(469\) | −5.20432 | − | 4.36695i | −0.240313 | − | 0.201647i | ||||
\(470\) | −8.40181 | − | 4.21955i | −0.387546 | − | 0.194633i | ||||
\(471\) | −9.70364 | + | 22.6549i | −0.447120 | + | 1.04388i | ||||
\(472\) | 8.49787 | − | 19.7003i | 0.391146 | − | 0.906778i | ||||
\(473\) | 7.65116 | + | 10.2773i | 0.351801 | + | 0.472551i | ||||
\(474\) | 6.98499 | − | 3.53042i | 0.320831 | − | 0.162158i | ||||
\(475\) | 1.60152 | + | 27.4971i | 0.0734829 | + | 1.26165i | ||||
\(476\) | −14.4931 | + | 5.27505i | −0.664290 | + | 0.241782i | ||||
\(477\) | 2.77051 | + | 2.30066i | 0.126853 | + | 0.105340i | ||||
\(478\) | 3.57772 | + | 1.30218i | 0.163641 | + | 0.0595605i | ||||
\(479\) | 5.61908 | − | 18.7690i | 0.256742 | − | 0.857579i | −0.728299 | − | 0.685260i | \(-0.759689\pi\) |
0.985041 | − | 0.172319i | \(-0.0551261\pi\) | |||||||
\(480\) | −5.10247 | + | 3.37470i | −0.232895 | + | 0.154033i | ||||
\(481\) | −7.36381 | + | 3.69825i | −0.335761 | + | 0.168625i | ||||
\(482\) | −5.25098 | − | 1.24450i | −0.239175 | − | 0.0566856i | ||||
\(483\) | 14.8263 | − | 12.5056i | 0.674621 | − | 0.569024i | ||||
\(484\) | −7.44648 | − | 0.870368i | −0.338476 | − | 0.0395622i | ||||
\(485\) | −8.36247 | −0.379720 | ||||||||
\(486\) | −15.8537 | + | 3.97243i | −0.719139 | + | 0.180193i | ||||
\(487\) | −9.74140 | −0.441425 | −0.220712 | − | 0.975339i | \(-0.570838\pi\) | ||||
−0.220712 | + | 0.975339i | \(0.570838\pi\) | |||||||
\(488\) | 36.7329 | + | 4.29346i | 1.66282 | + | 0.194356i | ||||
\(489\) | −2.79992 | + | 2.36165i | −0.126617 | + | 0.106798i | ||||
\(490\) | 1.09031 | + | 0.258409i | 0.0492553 | + | 0.0116737i | ||||
\(491\) | 0.792548 | − | 0.398033i | 0.0357672 | − | 0.0179630i | −0.430826 | − | 0.902435i | \(-0.641778\pi\) |
0.466593 | + | 0.884472i | \(0.345481\pi\) | |||||||
\(492\) | −1.91194 | + | 1.26453i | −0.0861968 | + | 0.0570092i | ||||
\(493\) | −5.59427 | + | 18.6862i | −0.251953 | + | 0.841583i | ||||
\(494\) | 25.1727 | + | 9.16210i | 1.13257 | + | 0.412222i | ||||
\(495\) | −3.51309 | + | 1.29907i | −0.157902 | + | 0.0583889i | ||||
\(496\) | 0.757740 | − | 0.275795i | 0.0340235 | − | 0.0123836i | ||||
\(497\) | 1.83406 | + | 31.4895i | 0.0822686 | + | 1.41250i | ||||
\(498\) | −27.9163 | + | 14.1097i | −1.25096 | + | 0.632271i | ||||
\(499\) | −12.2687 | − | 16.4797i | −0.549222 | − | 0.737733i | 0.437667 | − | 0.899137i | \(-0.355805\pi\) |
−0.986888 | + | 0.161405i | \(0.948398\pi\) | |||||||
\(500\) | −2.56404 | + | 5.94412i | −0.114668 | + | 0.265829i | ||||
\(501\) | 5.39639 | − | 12.5988i | 0.241093 | − | 0.562875i | ||||
\(502\) | −6.66066 | − | 3.34511i | −0.297280 | − | 0.149300i | ||||
\(503\) | −33.6724 | − | 28.2545i | −1.50138 | − | 1.25981i | −0.878742 | − | 0.477297i | \(-0.841617\pi\) |
−0.622638 | − | 0.782510i | \(-0.713939\pi\) | |||||||
\(504\) | −18.2454 | − | 19.1417i | −0.812715 | − | 0.852638i | ||||
\(505\) | 5.30144 | − | 4.44843i | 0.235911 | − | 0.197953i | ||||
\(506\) | 6.44885 | − | 1.52840i | 0.286686 | − | 0.0679459i | ||||
\(507\) | 2.61732 | + | 6.02516i | 0.116239 | + | 0.267587i | ||||
\(508\) | 0.708807 | − | 12.1697i | 0.0314482 | − | 0.539945i | ||||
\(509\) | 4.50445 | + | 15.0459i | 0.199656 | + | 0.666899i | 0.997912 | + | 0.0645806i | \(0.0205709\pi\) |
−0.798256 | + | 0.602318i | \(0.794244\pi\) | |||||||
\(510\) | 7.68631 | − | 2.81990i | 0.340356 | − | 0.124867i | ||||
\(511\) | 23.8753 | − | 32.0701i | 1.05618 | − | 1.41870i | ||||
\(512\) | −7.42895 | − | 12.8673i | −0.328316 | − | 0.568660i | ||||
\(513\) | −30.5282 | − | 10.8465i | −1.34785 | − | 0.478885i | ||||
\(514\) | −0.790687 | + | 1.36951i | −0.0348757 | + | 0.0604065i | ||||
\(515\) | 1.96728 | + | 4.56066i | 0.0866885 | + | 0.200967i | ||||
\(516\) | −6.08191 | + | 10.5967i | −0.267741 | + | 0.466496i | ||||
\(517\) | −13.1927 | + | 13.9834i | −0.580214 | + | 0.614991i | ||||
\(518\) | −5.10535 | − | 3.35784i | −0.224316 | − | 0.147535i | ||||
\(519\) | 23.3519 | + | 24.6249i | 1.02503 | + | 1.08092i | ||||
\(520\) | 6.52677 | + | 6.91797i | 0.286218 | + | 0.303373i | ||||
\(521\) | −2.10231 | − | 11.9228i | −0.0921038 | − | 0.522346i | −0.995596 | − | 0.0937429i | \(-0.970117\pi\) |
0.903493 | − | 0.428604i | \(-0.140994\pi\) | |||||||
\(522\) | −10.3085 | + | 1.25843i | −0.451189 | + | 0.0550799i | ||||
\(523\) | −6.56199 | + | 37.2149i | −0.286936 | + | 1.62729i | 0.411353 | + | 0.911476i | \(0.365056\pi\) |
−0.698288 | + | 0.715817i | \(0.746055\pi\) | |||||||
\(524\) | −11.2504 | + | 7.39950i | −0.491475 | + | 0.323248i | ||||
\(525\) | −21.5921 | − | 5.05907i | −0.942357 | − | 0.220796i | ||||
\(526\) | −2.46020 | + | 0.287556i | −0.107270 | + | 0.0125380i | ||||
\(527\) | 3.41096 | − | 0.398684i | 0.148584 | − | 0.0173670i | ||||
\(528\) | −1.13703 | − | 3.76286i | −0.0494830 | − | 0.163758i | ||||
\(529\) | 6.74392 | − | 4.43555i | 0.293214 | − | 0.192850i | ||||
\(530\) | 0.166783 | − | 0.945873i | 0.00724459 | − | 0.0410861i | ||||
\(531\) | 20.6179 | + | 4.77514i | 0.894739 | + | 0.207224i | ||||
\(532\) | −2.82653 | − | 16.0300i | −0.122546 | − | 0.694991i | ||||
\(533\) | 4.13185 | + | 4.37950i | 0.178970 | + | 0.189697i | ||||
\(534\) | −6.37057 | + | 1.52709i | −0.275682 | + | 0.0660837i | ||||
\(535\) | −7.09169 | − | 4.66428i | −0.306601 | − | 0.201654i | ||||
\(536\) | 4.89210 | − | 5.18532i | 0.211307 | − | 0.223972i | ||||
\(537\) | 31.1131 | − | 0.0796640i | 1.34263 | − | 0.00343776i | ||||
\(538\) | −3.38470 | − | 7.84661i | −0.145925 | − | 0.338291i | ||||
\(539\) | 1.14559 | − | 1.98423i | 0.0493442 | − | 0.0854667i | ||||
\(540\) | −2.47098 | − | 2.57911i | −0.106334 | − | 0.110987i | ||||
\(541\) | −16.6000 | − | 28.7521i | −0.713692 | − | 1.23615i | −0.963462 | − | 0.267845i | \(-0.913688\pi\) |
0.249770 | − | 0.968305i | \(-0.419645\pi\) | |||||||
\(542\) | 1.84999 | − | 2.48496i | 0.0794638 | − | 0.106738i | ||||
\(543\) | −0.925652 | + | 5.32939i | −0.0397235 | + | 0.228706i | ||||
\(544\) | −7.84188 | − | 26.1937i | −0.336218 | − | 1.12305i | ||||
\(545\) | −0.368967 | + | 6.33492i | −0.0158048 | + | 0.271358i | ||||
\(546\) | −12.8355 | + | 17.3336i | −0.549310 | + | 0.741809i | ||||
\(547\) | −4.30776 | + | 1.02096i | −0.184187 | + | 0.0436530i | −0.321674 | − | 0.946850i | \(-0.604246\pi\) |
0.137487 | + | 0.990504i | \(0.456097\pi\) | |||||||
\(548\) | 9.17255 | − | 7.69668i | 0.391832 | − | 0.328786i | ||||
\(549\) | 2.30764 | + | 36.4077i | 0.0984875 | + | 1.55384i | ||||
\(550\) | −5.80482 | − | 4.87082i | −0.247518 | − | 0.207692i | ||||
\(551\) | −18.3961 | − | 9.23889i | −0.783702 | − | 0.393590i | ||||
\(552\) | 12.1956 | + | 16.2942i | 0.519078 | + | 0.693528i | ||||
\(553\) | −4.94755 | + | 11.4697i | −0.210391 | + | 0.487741i | ||||
\(554\) | −8.19959 | − | 11.0140i | −0.348367 | − | 0.467938i | ||||
\(555\) | −2.22442 | − | 1.45488i | −0.0944213 | − | 0.0617561i | ||||
\(556\) | 0.673140 | + | 11.5574i | 0.0285475 | + | 0.490141i | ||||
\(557\) | 18.3879 | − | 6.69266i | 0.779122 | − | 0.283577i | 0.0783156 | − | 0.996929i | \(-0.475046\pi\) |
0.700807 | + | 0.713351i | \(0.252824\pi\) | |||||||
\(558\) | 0.922294 | + | 1.57873i | 0.0390438 | + | 0.0668332i | ||||
\(559\) | 30.1570 | + | 10.9762i | 1.27550 | + | 0.464245i | ||||
\(560\) | −0.879981 | + | 2.93934i | −0.0371860 | + | 0.124210i | ||||
\(561\) | −1.01619 | − | 16.7101i | −0.0429036 | − | 0.705502i | ||||
\(562\) | 18.1828 | − | 9.13172i | 0.766993 | − | 0.385199i | ||||
\(563\) | 14.4325 | + | 3.42055i | 0.608256 | + | 0.144159i | 0.523190 | − | 0.852216i | \(-0.324742\pi\) |
0.0850656 | + | 0.996375i | \(0.472890\pi\) | |||||||
\(564\) | −17.2429 | − | 6.22594i | −0.726056 | − | 0.262159i | ||||
\(565\) | 3.08948 | + | 0.361108i | 0.129975 | + | 0.0151919i | ||||
\(566\) | −8.40417 | −0.353254 | ||||||||
\(567\) | 15.3619 | − | 21.0820i | 0.645138 | − | 0.885359i | ||||
\(568\) | −33.0986 | −1.38879 | ||||||||
\(569\) | 4.24735 | + | 0.496444i | 0.178058 | + | 0.0208120i | 0.204655 | − | 0.978834i | \(-0.434393\pi\) |
−0.0265966 | + | 0.999646i | \(0.508467\pi\) | |||||||
\(570\) | 1.52222 | + | 8.50551i | 0.0637586 | + | 0.356257i | ||||
\(571\) | −7.26290 | − | 1.72134i | −0.303943 | − | 0.0720358i | 0.0758144 | − | 0.997122i | \(-0.475844\pi\) |
−0.379757 | + | 0.925086i | \(0.623993\pi\) | |||||||
\(572\) | 5.39652 | − | 2.71023i | 0.225640 | − | 0.113321i | ||||
\(573\) | 13.5766 | + | 6.77495i | 0.567170 | + | 0.283028i | ||||
\(574\) | −1.28054 | + | 4.27730i | −0.0534486 | + | 0.178531i | ||||
\(575\) | 16.0390 | + | 5.83772i | 0.668873 | + | 0.243450i | ||||
\(576\) | 17.4519 | − | 14.7969i | 0.727164 | − | 0.616536i | ||||
\(577\) | 38.2457 | − | 13.9203i | 1.59219 | − | 0.579510i | 0.614382 | − | 0.789009i | \(-0.289405\pi\) |
0.977809 | + | 0.209499i | \(0.0671832\pi\) | |||||||
\(578\) | 1.09135 | + | 18.7377i | 0.0453940 | + | 0.779385i | ||||
\(579\) | 1.70370 | − | 30.6010i | 0.0708033 | − | 1.27173i | ||||
\(580\) | −1.35527 | − | 1.82044i | −0.0562745 | − | 0.0755898i | ||||
\(581\) | 19.7734 | − | 45.8399i | 0.820339 | − | 1.90176i | ||||
\(582\) | 19.7590 | − | 2.36080i | 0.819038 | − | 0.0978582i | ||||
\(583\) | −1.75503 | − | 0.881407i | −0.0726857 | − | 0.0365042i | ||||
\(584\) | 32.1382 | + | 26.9671i | 1.32989 | + | 1.11591i | ||||
\(585\) | −5.56378 | + | 7.55390i | −0.230034 | + | 0.312315i | ||||
\(586\) | −20.5530 | + | 17.2460i | −0.849038 | + | 0.712428i | ||||
\(587\) | 2.56706 | − | 0.608404i | 0.105954 | − | 0.0251115i | −0.177297 | − | 0.984157i | \(-0.556735\pi\) |
0.283251 | + | 0.959046i | \(0.408587\pi\) | |||||||
\(588\) | 2.17074 | + | 0.248090i | 0.0895196 | + | 0.0102311i | ||||
\(589\) | −0.210738 | + | 3.61823i | −0.00868331 | + | 0.149087i | ||||
\(590\) | −1.61884 | − | 5.40732i | −0.0666468 | − | 0.222616i | ||||
\(591\) | 8.64830 | + | 7.21913i | 0.355743 | + | 0.296955i | ||||
\(592\) | 1.66575 | − | 2.23749i | 0.0684618 | − | 0.0919602i | ||||
\(593\) | 4.37859 | + | 7.58393i | 0.179807 | + | 0.311435i | 0.941814 | − | 0.336134i | \(-0.109119\pi\) |
−0.762007 | + | 0.647568i | \(0.775786\pi\) | |||||||
\(594\) | 7.93406 | − | 4.06125i | 0.325538 | − | 0.166635i | ||||
\(595\) | −6.53354 | + | 11.3164i | −0.267849 | + | 0.463928i | ||||
\(596\) | 3.87881 | + | 8.99209i | 0.158882 | + | 0.368330i | ||||
\(597\) | −13.8998 | − | 23.9335i | −0.568882 | − | 0.979532i | ||||
\(598\) | 11.3917 | − | 12.0745i | 0.465843 | − | 0.493765i | ||||
\(599\) | 12.5601 | + | 8.26090i | 0.513191 | + | 0.337531i | 0.779547 | − | 0.626344i | \(-0.215449\pi\) |
−0.266356 | + | 0.963875i | \(0.585820\pi\) | |||||||
\(600\) | 6.61699 | − | 22.3100i | 0.270138 | − | 0.910804i | ||||
\(601\) | −3.46377 | − | 3.67138i | −0.141290 | − | 0.149759i | 0.652864 | − | 0.757475i | \(-0.273567\pi\) |
−0.794154 | + | 0.607716i | \(0.792086\pi\) | |||||||
\(602\) | 4.13251 | + | 23.4366i | 0.168428 | + | 0.955205i | ||||
\(603\) | 5.89488 | + | 3.83403i | 0.240058 | + | 0.156134i | ||||
\(604\) | −1.32975 | + | 7.54141i | −0.0541069 | + | 0.306856i | ||||
\(605\) | −5.30690 | + | 3.49040i | −0.215756 | + | 0.141905i | ||||
\(606\) | −11.2705 | + | 12.0075i | −0.457833 | + | 0.487771i | ||||
\(607\) | −31.8244 | + | 3.71974i | −1.29171 | + | 0.150979i | −0.734054 | − | 0.679091i | \(-0.762374\pi\) |
−0.557658 | + | 0.830071i | \(0.688300\pi\) | |||||||
\(608\) | 28.6614 | − | 3.35004i | 1.16237 | − | 0.135862i | ||||
\(609\) | 11.3434 | − | 12.0851i | 0.459656 | − | 0.489713i | ||||
\(610\) | 8.12897 | − | 5.34651i | 0.329132 | − | 0.216474i | ||||
\(611\) | −8.36163 | + | 47.4212i | −0.338275 | + | 1.91846i | ||||
\(612\) | 14.2292 | − | 7.23765i | 0.575181 | − | 0.292565i | ||||
\(613\) | −4.00790 | − | 22.7299i | −0.161877 | − | 0.918052i | −0.952226 | − | 0.305395i | \(-0.901212\pi\) |
0.790348 | − | 0.612658i | \(-0.209900\pi\) | |||||||
\(614\) | 2.27884 | + | 2.41543i | 0.0919667 | + | 0.0974790i | ||||
\(615\) | −0.552233 | + | 1.86193i | −0.0222682 | + | 0.0750801i | ||||
\(616\) | 12.0489 | + | 7.92466i | 0.485462 | + | 0.319294i | ||||
\(617\) | −6.87185 | + | 7.28373i | −0.276650 | + | 0.293232i | −0.850769 | − | 0.525540i | \(-0.823863\pi\) |
0.574119 | + | 0.818772i | \(0.305345\pi\) | |||||||
\(618\) | −5.93583 | − | 10.2206i | −0.238774 | − | 0.411134i | ||||
\(619\) | 7.63939 | + | 17.7101i | 0.307053 | + | 0.711829i | 0.999958 | − | 0.00920031i | \(-0.00292859\pi\) |
−0.692905 | + | 0.721029i | \(0.743669\pi\) | |||||||
\(620\) | −0.199788 | + | 0.346044i | −0.00802369 | + | 0.0138974i | ||||
\(621\) | −13.6647 | + | 14.7084i | −0.548344 | + | 0.590228i | ||||
\(622\) | 0.673787 | + | 1.16703i | 0.0270164 | + | 0.0467938i | ||||
\(623\) | 6.24368 | − | 8.38671i | 0.250148 | − | 0.336007i | ||||
\(624\) | −7.55859 | − | 6.30950i | −0.302586 | − | 0.252582i | ||||
\(625\) | −4.76194 | − | 15.9060i | −0.190477 | − | 0.636239i | ||||
\(626\) | 0.635651 | − | 10.9137i | 0.0254057 | − | 0.436200i | ||||
\(627\) | 17.5538 | + | 2.00620i | 0.701032 | + | 0.0801199i | ||||
\(628\) | 12.4713 | − | 2.95574i | 0.497658 | − | 0.117947i | ||||
\(629\) | 9.10045 | − | 7.63618i | 0.362859 | − | 0.304475i | ||||
\(630\) | −6.91405 | − | 0.772268i | −0.275462 | − | 0.0307679i | ||||
\(631\) | 22.1834 | + | 18.6140i | 0.883105 | + | 0.741013i | 0.966815 | − | 0.255477i | \(-0.0822324\pi\) |
−0.0837097 | + | 0.996490i | \(0.526677\pi\) | |||||||
\(632\) | −11.7132 | − | 5.88257i | −0.465925 | − | 0.233996i | ||||
\(633\) | −21.0909 | + | 2.51993i | −0.838288 | + | 0.100158i | ||||
\(634\) | 11.2648 | − | 26.1147i | 0.447382 | − | 1.03715i | ||||
\(635\) | −6.16751 | − | 8.28440i | −0.244750 | − | 0.328756i | ||||
\(636\) | 0.104105 | − | 1.86989i | 0.00412805 | − | 0.0741460i | ||||
\(637\) | −0.333685 | − | 5.72914i | −0.0132211 | − | 0.226997i | ||||
\(638\) | 5.32190 | − | 1.93701i | 0.210696 | − | 0.0766871i | ||||
\(639\) | −5.83404 | − | 32.1237i | −0.230791 | − | 1.27079i | ||||
\(640\) | 0.903547 | + | 0.328864i | 0.0357158 | + | 0.0129995i | ||||
\(641\) | −14.1736 | + | 47.3432i | −0.559824 | + | 1.86994i | −0.0711729 | + | 0.997464i | \(0.522674\pi\) |
−0.488651 | + | 0.872479i | \(0.662511\pi\) | |||||||
\(642\) | 18.0732 | + | 9.01881i | 0.713291 | + | 0.355944i | ||||
\(643\) | 12.8073 | − | 6.43205i | 0.505069 | − | 0.253655i | −0.177971 | − | 0.984036i | \(-0.556953\pi\) |
0.683041 | + | 0.730380i | \(0.260657\pi\) | |||||||
\(644\) | −9.81491 | − | 2.32618i | −0.386762 | − | 0.0916642i | ||||
\(645\) | 1.82362 | + | 10.1896i | 0.0718051 | + | 0.401217i | ||||
\(646\) | −38.3585 | − | 4.48347i | −1.50920 | − | 0.176400i | ||||
\(647\) | −14.0663 | −0.553003 | −0.276501 | − | 0.961013i | \(-0.589175\pi\) | ||||
−0.276501 | + | 0.961013i | \(0.589175\pi\) | |||||||
\(648\) | 21.1470 | + | 17.3785i | 0.830733 | + | 0.682692i | ||||
\(649\) | −11.5415 | −0.453045 | ||||||||
\(650\) | −18.8518 | − | 2.20346i | −0.739427 | − | 0.0864267i | ||||
\(651\) | −2.74473 | − | 0.991048i | −0.107574 | − | 0.0388422i | ||||
\(652\) | 1.85352 | + | 0.439293i | 0.0725896 | + | 0.0172040i | ||||
\(653\) | −10.4906 | + | 5.26860i | −0.410531 | + | 0.206176i | −0.642064 | − | 0.766651i | \(-0.721922\pi\) |
0.231534 | + | 0.972827i | \(0.425626\pi\) | |||||||
\(654\) | −0.916598 | − | 15.0724i | −0.0358418 | − | 0.589379i | ||||
\(655\) | −3.27201 | + | 10.9293i | −0.127848 | + | 0.427042i | ||||
\(656\) | −1.91527 | − | 0.697100i | −0.0747785 | − | 0.0272172i | ||||
\(657\) | −20.5081 | + | 35.9448i | −0.800095 | + | 1.40234i | ||||
\(658\) | −33.5543 | + | 12.2128i | −1.30808 | + | 0.476103i | ||||
\(659\) | −2.61861 | − | 44.9598i | −0.102007 | − | 1.75139i | −0.530357 | − | 0.847774i | \(-0.677942\pi\) |
0.428351 | − | 0.903613i | \(-0.359095\pi\) | |||||||
\(660\) | 1.63015 | + | 1.06620i | 0.0634535 | + | 0.0415016i | ||||
\(661\) | 3.33382 | + | 4.47810i | 0.129671 | + | 0.174178i | 0.862217 | − | 0.506540i | \(-0.169076\pi\) |
−0.732546 | + | 0.680717i | \(0.761668\pi\) | |||||||
\(662\) | 2.60394 | − | 6.03660i | 0.101205 | − | 0.234619i | ||||
\(663\) | −25.1261 | − | 33.5704i | −0.975816 | − | 1.30377i | ||||
\(664\) | 46.8129 | + | 23.5103i | 1.81669 | + | 0.912378i | ||||
\(665\) | −10.5643 | − | 8.86450i | −0.409666 | − | 0.343750i | ||||
\(666\) | 5.66662 | + | 2.80964i | 0.219577 | + | 0.108871i | ||||
\(667\) | −9.77219 | + | 8.19984i | −0.378381 | + | 0.317499i | ||||
\(668\) | −6.93552 | + | 1.64375i | −0.268343 | + | 0.0635985i | ||||
\(669\) | 1.81001 | − | 2.44430i | 0.0699790 | − | 0.0945022i | ||||
\(670\) | 0.109049 | − | 1.87231i | 0.00421294 | − | 0.0723335i | ||||
\(671\) | −5.70587 | − | 19.0589i | −0.220273 | − | 0.735763i | ||||
\(672\) | −3.97593 | + | 22.8912i | −0.153375 | + | 0.883048i | ||||
\(673\) | −1.55692 | + | 2.09130i | −0.0600147 | + | 0.0806137i | −0.831117 | − | 0.556097i | \(-0.812298\pi\) |
0.771102 | + | 0.636711i | \(0.219706\pi\) | |||||||
\(674\) | 2.91206 | + | 5.04384i | 0.112168 | + | 0.194281i | ||||
\(675\) | 22.8192 | + | 2.48966i | 0.878312 | + | 0.0958272i | ||||
\(676\) | 1.70810 | − | 2.95852i | 0.0656962 | − | 0.113789i | ||||
\(677\) | −10.9260 | − | 25.3294i | −0.419921 | − | 0.973487i | −0.988550 | − | 0.150893i | \(-0.951785\pi\) |
0.568629 | − | 0.822594i | \(-0.307474\pi\) | |||||||
\(678\) | −7.40182 | + | 0.0189521i | −0.284265 | + | 0.000727851i | ||||
\(679\) | −21.7952 | + | 23.1015i | −0.836422 | + | 0.886556i | ||||
\(680\) | −11.4558 | − | 7.53462i | −0.439311 | − | 0.288939i | ||||
\(681\) | −29.8520 | + | 7.15583i | −1.14393 | + | 0.274212i | ||||
\(682\) | −0.684261 | − | 0.725274i | −0.0262017 | − | 0.0277722i | ||||
\(683\) | −2.34587 | − | 13.3041i | −0.0897621 | − | 0.509066i | −0.996227 | − | 0.0867852i | \(-0.972341\pi\) |
0.906465 | − | 0.422281i | \(-0.138771\pi\) | |||||||
\(684\) | 4.91471 | + | 16.1154i | 0.187919 | + | 0.616189i | ||||
\(685\) | 1.76161 | − | 9.99058i | 0.0673076 | − | 0.381720i | ||||
\(686\) | −14.2166 | + | 9.35039i | −0.542792 | + | 0.357000i | ||||
\(687\) | −1.82885 | − | 6.05233i | −0.0697749 | − | 0.230911i | ||||
\(688\) | −10.7902 | + | 1.26120i | −0.411374 | + | 0.0480828i | ||||
\(689\) | −4.88587 | + | 0.571076i | −0.186137 | + | 0.0217563i | ||||
\(690\) | 5.21328 | + | 1.22148i | 0.198466 | + | 0.0465010i | ||||
\(691\) | 13.5774 | − | 8.93001i | 0.516509 | − | 0.339713i | −0.264344 | − | 0.964429i | \(-0.585155\pi\) |
0.780853 | + | 0.624715i | \(0.214785\pi\) | |||||||
\(692\) | 3.06463 | − | 17.3804i | 0.116500 | − | 0.660703i | ||||
\(693\) | −5.56748 | + | 13.0908i | −0.211491 | + | 0.497278i | ||||
\(694\) | 4.93481 | + | 27.9867i | 0.187323 | + | 1.06236i | ||||
\(695\) | 6.73092 | + | 7.13436i | 0.255318 | + | 0.270622i | ||||
\(696\) | 11.9676 | + | 12.6200i | 0.453631 | + | 0.478361i | ||||
\(697\) | −7.25224 | − | 4.76988i | −0.274698 | − | 0.180672i | ||||
\(698\) | −15.1515 | + | 16.0596i | −0.573493 | + | 0.607867i | ||||
\(699\) | 19.3754 | − | 33.7584i | 0.732843 | − | 1.27686i | ||||
\(700\) | 4.56795 | + | 10.5897i | 0.172652 | + | 0.400253i | ||||
\(701\) | −9.28318 | + | 16.0789i | −0.350621 | + | 0.607293i | −0.986358 | − | 0.164612i | \(-0.947363\pi\) |
0.635738 | + | 0.771905i | \(0.280696\pi\) | |||||||
\(702\) | 11.0137 | − | 19.4192i | 0.415684 | − | 0.732931i | ||||
\(703\) | 6.26884 | + | 10.8579i | 0.236434 | + | 0.409515i | ||||
\(704\) | −7.45126 | + | 10.0088i | −0.280830 | + | 0.377220i | ||||
\(705\) | −14.5815 | + | 5.34957i | −0.549173 | + | 0.201476i | ||||
\(706\) | 6.09830 | + | 20.3698i | 0.229513 | + | 0.766626i | ||||
\(707\) | 1.52827 | − | 26.2393i | 0.0574764 | − | 0.986832i | ||||
\(708\) | −4.38510 | − | 10.0947i | −0.164802 | − | 0.379380i | ||||
\(709\) | −3.42106 | + | 0.810805i | −0.128480 | + | 0.0304504i | −0.294353 | − | 0.955697i | \(-0.595104\pi\) |
0.165873 | + | 0.986147i | \(0.446956\pi\) | |||||||
\(710\) | −6.67048 | + | 5.59720i | −0.250339 | + | 0.210059i | ||||
\(711\) | 3.64471 | − | 12.4050i | 0.136687 | − | 0.465225i | ||||
\(712\) | 8.40451 | + | 7.05222i | 0.314972 | + | 0.264293i | ||||
\(713\) | 2.00706 | + | 1.00798i | 0.0751651 | + | 0.0377493i | ||||
\(714\) | 12.2429 | − | 28.5831i | 0.458177 | − | 1.06970i | ||||
\(715\) | 2.02647 | − | 4.69789i | 0.0757858 | − | 0.175691i | ||||
\(716\) | −9.66214 | − | 12.9785i | −0.361091 | − | 0.485030i | ||||
\(717\) | 5.61345 | − | 2.83720i | 0.209638 | − | 0.105957i | ||||
\(718\) | 0.316621 | + | 5.43618i | 0.0118162 | + | 0.202876i | ||||
\(719\) | −26.7826 | + | 9.74806i | −0.998821 | + | 0.363541i | −0.789130 | − | 0.614226i | \(-0.789468\pi\) |
−0.209691 | + | 0.977768i | \(0.567246\pi\) | |||||||
\(720\) | 0.535457 | − | 3.13038i | 0.0199553 | − | 0.116662i | ||||
\(721\) | 17.7263 | + | 6.45183i | 0.660160 | + | 0.240279i | ||||
\(722\) | 5.97632 | − | 19.9623i | 0.222415 | − | 0.742919i | ||||
\(723\) | −7.43574 | + | 4.91789i | −0.276538 | + | 0.182898i | ||||
\(724\) | 2.51379 | − | 1.26247i | 0.0934243 | − | 0.0469195i | ||||
\(725\) | 14.1924 | + | 3.36366i | 0.527093 | + | 0.124923i | ||||
\(726\) | 11.5539 | − | 9.74537i | 0.428804 | − | 0.361685i | ||||
\(727\) | 30.0430 | + | 3.51152i | 1.11423 | + | 0.130235i | 0.653227 | − | 0.757162i | \(-0.273415\pi\) |
0.461006 | + | 0.887397i | \(0.347489\pi\) | |||||||
\(728\) | 36.1218 | 1.33876 | ||||||||
\(729\) | −13.1392 | + | 23.5873i | −0.486637 | + | 0.873604i | ||||
\(730\) | 11.0372 | 0.408507 | ||||||||
\(731\) | −45.9537 | − | 5.37122i | −1.69966 | − | 0.198662i | ||||
\(732\) | 14.5018 | − | 12.2318i | 0.536000 | − | 0.452102i | ||||
\(733\) | 1.67743 | + | 0.397558i | 0.0619573 | + | 0.0146841i | 0.261478 | − | 0.965210i | \(-0.415790\pi\) |
−0.199520 | + | 0.979894i | \(0.563938\pi\) | |||||||
\(734\) | −5.22373 | + | 2.62346i | −0.192811 | + | 0.0968335i | ||||
\(735\) | 1.54396 | − | 1.02115i | 0.0569497 | − | 0.0376656i | ||||
\(736\) | 5.12859 | − | 17.1307i | 0.189042 | − | 0.631446i | ||||
\(737\) | −3.60364 | − | 1.31162i | −0.132742 | − | 0.0483140i | ||||
\(738\) | 0.779190 | − | 4.55530i | 0.0286824 | − | 0.167683i | ||||
\(739\) | −1.24530 | + | 0.453252i | −0.0458091 | + | 0.0166732i | −0.364823 | − | 0.931077i | \(-0.618871\pi\) |
0.319014 | + | 0.947750i | \(0.396648\pi\) | |||||||
\(740\) | 0.0803705 | + | 1.37991i | 0.00295448 | + | 0.0507264i | ||||
\(741\) | 39.4959 | − | 19.9624i | 1.45092 | − | 0.733337i | ||||
\(742\) | −2.17831 | − | 2.92598i | −0.0799683 | − | 0.107416i | ||||
\(743\) | −16.0604 | + | 37.2321i | −0.589198 | + | 1.36591i | 0.319152 | + | 0.947704i | \(0.396602\pi\) |
−0.908350 | + | 0.418211i | \(0.862657\pi\) | |||||||
\(744\) | 1.20563 | − | 2.81476i | 0.0442005 | − | 0.103194i | ||||
\(745\) | 7.41443 | + | 3.72367i | 0.271644 | + | 0.136425i | ||||
\(746\) | 26.5904 | + | 22.3120i | 0.973545 | + | 0.816902i | ||||
\(747\) | −14.5665 | + | 49.5781i | −0.532960 | + | 1.81397i | ||||
\(748\) | −6.66920 | + | 5.59613i | −0.243850 | + | 0.204615i | ||||
\(749\) | −31.3683 | + | 7.43443i | −1.14617 | + | 0.271648i | ||||
\(750\) | −5.20003 | − | 11.9707i | −0.189878 | − | 0.437107i | ||||
\(751\) | 0.833491 | − | 14.3105i | 0.0304145 | − | 0.522197i | −0.948352 | − | 0.317220i | \(-0.897251\pi\) |
0.978767 | − | 0.204978i | \(-0.0657122\pi\) | |||||||
\(752\) | −4.67499 | − | 15.6156i | −0.170479 | − | 0.569441i | ||||
\(753\) | −11.5597 | + | 4.24095i | −0.421260 | + | 0.154549i | ||||
\(754\) | 8.47100 | − | 11.3785i | 0.308495 | − | 0.414381i | ||||
\(755\) | 3.24395 | + | 5.61869i | 0.118059 | + | 0.204485i | ||||
\(756\) | −13.5650 | + | 0.104200i | −0.493354 | + | 0.00378971i | ||||
\(757\) | −21.3641 | + | 37.0037i | −0.776491 | + | 1.34492i | 0.157462 | + | 0.987525i | \(0.449669\pi\) |
−0.933953 | + | 0.357397i | \(0.883664\pi\) | |||||||
\(758\) | 0.724246 | + | 1.67899i | 0.0263058 | + | 0.0609837i | ||||
\(759\) | 5.45002 | − | 9.49577i | 0.197823 | − | 0.344675i | ||||
\(760\) | 9.93051 | − | 10.5257i | 0.360218 | − | 0.381808i | ||||
\(761\) | −2.61036 | − | 1.71686i | −0.0946256 | − | 0.0622362i | 0.501314 | − | 0.865265i | \(-0.332850\pi\) |
−0.595940 | + | 0.803029i | \(0.703220\pi\) | |||||||
\(762\) | 16.9115 | + | 17.8334i | 0.612638 | + | 0.646036i | ||||
\(763\) | 16.5387 | + | 17.5300i | 0.598742 | + | 0.634629i | ||||
\(764\) | −1.37020 | − | 7.77079i | −0.0495721 | − | 0.281137i | ||||
\(765\) | 5.29345 | − | 12.4465i | 0.191385 | − | 0.450003i | ||||
\(766\) | −5.61864 | + | 31.8649i | −0.203010 | + | 1.15133i | ||||
\(767\) | −24.1528 | + | 15.8856i | −0.872108 | + | 0.573595i | ||||
\(768\) | −27.9512 | − | 6.54902i | −1.00860 | − | 0.236318i | ||||
\(769\) | 11.6020 | − | 1.35607i | 0.418377 | − | 0.0489013i | 0.0956997 | − | 0.995410i | \(-0.469491\pi\) |
0.322678 | + | 0.946509i | \(0.395417\pi\) | |||||||
\(770\) | 3.76837 | − | 0.440459i | 0.135802 | − | 0.0158730i | ||||
\(771\) | 0.755660 | + | 2.50076i | 0.0272144 | + | 0.0900625i | ||||
\(772\) | −13.3164 | + | 8.75832i | −0.479267 | + | 0.315219i | ||||
\(773\) | 5.48952 | − | 31.1326i | 0.197444 | − | 1.11976i | −0.711450 | − | 0.702737i | \(-0.751961\pi\) |
0.908895 | − | 0.417026i | \(-0.136928\pi\) | |||||||
\(774\) | −7.18551 | − | 23.5615i | −0.258278 | − | 0.846900i | ||||
\(775\) | −0.445920 | − | 2.52894i | −0.0160179 | − | 0.0908422i | ||||
\(776\) | −22.8701 | − | 24.2409i | −0.820989 | − | 0.870198i | ||||
\(777\) | −9.81665 | + | 2.35315i | −0.352170 | + | 0.0844189i | ||||
\(778\) | −23.1546 | − | 15.2290i | −0.830133 | − | 0.545987i | ||||
\(779\) | 6.28662 | − | 6.66343i | 0.225242 | − | 0.238742i | ||||
\(780\) | 4.87888 | − | 0.0124922i | 0.174692 | − | 0.000447292i | ||||
\(781\) | 7.05227 | + | 16.3490i | 0.252350 | + | 0.585013i | ||||
\(782\) | −11.9660 | + | 20.7257i | −0.427903 | + | 0.741149i | ||||
\(783\) | −10.1389 | + | 13.8395i | −0.362333 | + | 0.494584i | ||||
\(784\) | 0.971340 | + | 1.68241i | 0.0346907 | + | 0.0600861i | ||||
\(785\) | 6.48441 | − | 8.71008i | 0.231439 | − | 0.310876i | ||||
\(786\) | 4.64574 | − | 26.7476i | 0.165708 | − | 0.954056i | ||||
\(787\) | 3.35915 | + | 11.2204i | 0.119741 | + | 0.399963i | 0.996754 | − | 0.0805033i | \(-0.0256528\pi\) |
−0.877013 | + | 0.480466i | \(0.840468\pi\) | |||||||
\(788\) | 0.340640 | − | 5.84856i | 0.0121348 | − | 0.208346i | ||||
\(789\) | −2.43511 | + | 3.28847i | −0.0866923 | + | 0.117073i | ||||
\(790\) | −3.35538 | + | 0.795240i | −0.119379 | + | 0.0282934i | ||||
\(791\) | 9.04970 | − | 7.59360i | 0.321770 | − | 0.269997i | ||||
\(792\) | −13.3735 | − | 6.63088i | −0.475206 | − | 0.235618i | ||||
\(793\) | −38.1730 | − | 32.0309i | −1.35556 | − | 1.13745i | ||||
\(794\) | 32.1570 | + | 16.1499i | 1.14121 | + | 0.573137i | ||||
\(795\) | −0.950760 | − | 1.27029i | −0.0337200 | − | 0.0450525i | ||||
\(796\) | −5.70086 | + | 13.2161i | −0.202062 | + | 0.468431i | ||||
\(797\) | 17.4392 | + | 23.4249i | 0.617727 | + | 0.829752i | 0.995362 | − | 0.0962029i | \(-0.0306698\pi\) |
−0.377634 | + | 0.925955i | \(0.623262\pi\) | |||||||
\(798\) | 27.4641 | + | 17.9628i | 0.972217 | + | 0.635877i | ||||
\(799\) | −4.03643 | − | 69.3028i | −0.142799 | − | 2.45176i | ||||
\(800\) | −19.2126 | + | 6.99280i | −0.679267 | + | 0.247233i | ||||
\(801\) | −5.36310 | + | 9.40000i | −0.189496 | + | 0.332133i | ||||
\(802\) | −0.179234 | − | 0.0652358i | −0.00632897 | − | 0.00230356i | ||||
\(803\) | 6.47274 | − | 21.6204i | 0.228418 | − | 0.762969i | ||||
\(804\) | −0.221980 | − | 3.65021i | −0.00782862 | − | 0.128733i | ||||
\(805\) | −7.63687 | + | 3.83538i | −0.269164 | + | 0.135179i | ||||
\(806\) | −2.43020 | − | 0.575967i | −0.0856001 | − | 0.0202876i | ||||
\(807\) | −13.2781 | − | 4.79437i | −0.467412 | − | 0.168770i | ||||
\(808\) | 27.3936 | + | 3.20186i | 0.963705 | + | 0.112641i | ||||
\(809\) | 25.8550 | 0.909015 | 0.454508 | − | 0.890743i | \(-0.349815\pi\) | ||||
0.454508 | + | 0.890743i | \(0.349815\pi\) | |||||||
\(810\) | 7.20066 | − | 0.0737505i | 0.253005 | − | 0.00259133i | ||||
\(811\) | 44.4567 | 1.56109 | 0.780544 | − | 0.625101i | \(-0.214942\pi\) | ||||
0.780544 | + | 0.625101i | \(0.214942\pi\) | |||||||
\(812\) | −8.56127 | − | 1.00067i | −0.300442 | − | 0.0351166i | ||||
\(813\) | −0.901611 | − | 5.03783i | −0.0316209 | − | 0.176684i | ||||
\(814\) | −3.35632 | − | 0.795461i | −0.117639 | − | 0.0278809i | ||||
\(815\) | 1.44221 | − | 0.724303i | 0.0505183 | − | 0.0253712i | ||||
\(816\) | 12.7010 | + | 6.33800i | 0.444623 | + | 0.221874i | ||||
\(817\) | 14.0042 | − | 46.7774i | 0.489946 | − | 1.63653i | ||||
\(818\) | −5.96250 | − | 2.17017i | −0.208474 | − | 0.0758783i | ||||
\(819\) | 6.36693 | + | 35.0579i | 0.222478 | + | 1.22502i | ||||
\(820\) | 0.949062 | − | 0.345430i | 0.0331427 | − | 0.0120630i | ||||
\(821\) | −0.369331 | − | 6.34116i | −0.0128897 | − | 0.221308i | −0.998602 | − | 0.0528675i | \(-0.983164\pi\) |
0.985712 | − | 0.168441i | \(-0.0538731\pi\) | |||||||
\(822\) | −1.34194 | + | 24.1033i | −0.0468055 | + | 0.840698i | ||||
\(823\) | 7.64938 | + | 10.2749i | 0.266641 | + | 0.358160i | 0.915197 | − | 0.403006i | \(-0.132035\pi\) |
−0.648557 | + | 0.761166i | \(0.724627\pi\) | |||||||
\(824\) | −7.84010 | + | 18.1754i | −0.273123 | + | 0.633170i | ||||
\(825\) | −12.4299 | + | 1.48512i | −0.432753 | + | 0.0517051i | ||||
\(826\) | −19.1571 | − | 9.62103i | −0.666559 | − | 0.334759i | ||||
\(827\) | 5.25528 | + | 4.40970i | 0.182744 | + | 0.153340i | 0.729571 | − | 0.683905i | \(-0.239720\pi\) |
−0.546827 | + | 0.837246i | \(0.684164\pi\) | |||||||
\(828\) | 10.3760 | + | 1.15896i | 0.360592 | + | 0.0402765i | ||||
\(829\) | −27.7337 | + | 23.2713i | −0.963231 | + | 0.808246i | −0.981476 | − | 0.191587i | \(-0.938637\pi\) |
0.0182451 | + | 0.999834i | \(0.494192\pi\) | |||||||
\(830\) | 13.4101 | − | 3.17826i | 0.465473 | − | 0.110319i | ||||
\(831\) | −22.5369 | − | 2.57571i | −0.781798 | − | 0.0893505i | ||||
\(832\) | −1.81725 | + | 31.2010i | −0.0630019 | + | 1.08170i | ||||
\(833\) | 2.37287 | + | 7.92594i | 0.0822151 | + | 0.274618i | ||||
\(834\) | −17.9180 | − | 14.9570i | −0.620451 | − | 0.517919i | ||||
\(835\) | −3.60611 | + | 4.84385i | −0.124795 | + | 0.167628i | ||||
\(836\) | −4.59407 | − | 7.95717i | −0.158889 | − | 0.275205i | ||||
\(837\) | 2.94436 | + | 0.673981i | 0.101772 | + | 0.0232962i | ||||
\(838\) | 10.9162 | − | 18.9075i | 0.377095 | − | 0.653149i | ||||
\(839\) | 7.27891 | + | 16.8744i | 0.251296 | + | 0.582569i | 0.996437 | − | 0.0843374i | \(-0.0268774\pi\) |
−0.745142 | + | 0.666906i | \(0.767618\pi\) | |||||||
\(840\) | 5.85145 | + | 10.0753i | 0.201894 | + | 0.347632i | ||||
\(841\) | 12.4202 | − | 13.1647i | 0.428284 | − | 0.453955i | ||||
\(842\) | −10.4123 | − | 6.84826i | −0.358831 | − | 0.236007i | ||||
\(843\) | 9.55792 | − | 32.2258i | 0.329192 | − | 1.10991i | ||||
\(844\) | 7.58034 | + | 8.03469i | 0.260926 | + | 0.276565i | ||||
\(845\) | −0.502594 | − | 2.85035i | −0.0172897 | − | 0.0980550i | ||||
\(846\) | 32.9433 | − | 16.7566i | 1.13262 | − | 0.576102i | ||||
\(847\) | −4.18909 | + | 23.7575i | −0.143939 | + | 0.816317i | ||||
\(848\) | 1.39125 | − | 0.915039i | 0.0477757 | − | 0.0314226i | ||||
\(849\) | −9.50169 | + | 10.1230i | −0.326097 | + | 0.347420i | ||||
\(850\) | 27.1780 | − | 3.17665i | 0.932198 | − | 0.108958i | ||||
\(851\) | 7.71686 | − | 0.901971i | 0.264530 | − | 0.0309192i | ||||
\(852\) | −11.6200 | + | 12.3798i | −0.398094 | + | 0.424125i | ||||
\(853\) | −10.0783 | + | 6.62862i | −0.345075 | + | 0.226959i | −0.710201 | − | 0.703999i | \(-0.751396\pi\) |
0.365126 | + | 0.930958i | \(0.381026\pi\) | |||||||
\(854\) | 6.41674 | − | 36.3911i | 0.219576 | − | 1.24528i | ||||
\(855\) | 11.9661 | + | 7.78272i | 0.409231 | + | 0.266163i | ||||
\(856\) | −5.87404 | − | 33.3133i | −0.200770 | − | 1.13863i | ||||
\(857\) | −13.8818 | − | 14.7138i | −0.474192 | − | 0.502614i | 0.445485 | − | 0.895289i | \(-0.353031\pi\) |
−0.919677 | + | 0.392675i | \(0.871550\pi\) | |||||||
\(858\) | −3.46193 | + | 11.6724i | −0.118188 | + | 0.398488i | ||||
\(859\) | 22.7306 | + | 14.9502i | 0.775559 | + | 0.510093i | 0.874515 | − | 0.484999i | \(-0.161180\pi\) |
−0.0989562 | + | 0.995092i | \(0.531550\pi\) | |||||||
\(860\) | 3.69420 | − | 3.91563i | 0.125971 | − | 0.133522i | ||||
\(861\) | 3.70433 | + | 6.37831i | 0.126243 | + | 0.217372i | ||||
\(862\) | 4.28330 | + | 9.92980i | 0.145890 | + | 0.338210i | ||||
\(863\) | 13.5593 | − | 23.4854i | 0.461564 | − | 0.799452i | −0.537475 | − | 0.843280i | \(-0.680622\pi\) |
0.999039 | + | 0.0438272i | \(0.0139551\pi\) | |||||||
\(864\) | 1.21386 | − | 24.0181i | 0.0412963 | − | 0.817113i | ||||
\(865\) | −7.47621 | − | 12.9492i | −0.254199 | − | 0.440285i | ||||
\(866\) | 0.0246903 | − | 0.0331648i | 0.000839009 | − | 0.00112698i | ||||
\(867\) | 23.8038 | + | 19.8701i | 0.808420 | + | 0.674825i | ||||
\(868\) | 0.435244 | + | 1.45382i | 0.0147731 | + | 0.0493457i | ||||
\(869\) | −0.409980 | + | 7.03909i | −0.0139076 | + | 0.238785i | ||||
\(870\) | 4.54601 | + | 0.519557i | 0.154124 | + | 0.0176146i | ||||
\(871\) | −9.34656 | + | 2.21518i | −0.316696 | + | 0.0750584i | ||||
\(872\) | −19.3726 | + | 16.2555i | −0.656037 | + | 0.550481i | ||||
\(873\) | 19.4957 | − | 26.4692i | 0.659831 | − | 0.895848i | ||||
\(874\) | −19.3482 | − | 16.2351i | −0.654463 | − | 0.549159i | ||||
\(875\) | 18.6146 | + | 9.34860i | 0.629288 | + | 0.316041i | ||||
\(876\) | 21.3693 | − | 2.55319i | 0.722001 | − | 0.0862643i | ||||
\(877\) | 1.76166 | − | 4.08399i | 0.0594871 | − | 0.137907i | −0.885880 | − | 0.463915i | \(-0.846444\pi\) |
0.945367 | + | 0.326008i | \(0.105704\pi\) | |||||||
\(878\) | 2.81276 | + | 3.77819i | 0.0949261 | + | 0.127508i | ||||
\(879\) | −2.46387 | + | 44.2548i | −0.0831042 | + | 1.49268i | ||||
\(880\) | 0.100704 | + | 1.72901i | 0.00339472 | + | 0.0582851i | ||||
\(881\) | 35.6358 | − | 12.9704i | 1.20060 | − | 0.436983i | 0.337166 | − | 0.941445i | \(-0.390532\pi\) |
0.863434 | + | 0.504463i | \(0.168309\pi\) | |||||||
\(882\) | −3.35981 | + | 2.84866i | −0.113131 | + | 0.0959194i | ||||
\(883\) | −25.5461 | − | 9.29801i | −0.859694 | − | 0.312903i | −0.125708 | − | 0.992067i | \(-0.540120\pi\) |
−0.733986 | + | 0.679164i | \(0.762342\pi\) | |||||||
\(884\) | −6.25415 | + | 20.8903i | −0.210350 | + | 0.702617i | ||||
\(885\) | −8.34347 | − | 4.16353i | −0.280463 | − | 0.139956i | ||||
\(886\) | 7.77645 | − | 3.90548i | 0.261255 | − | 0.131207i | ||||
\(887\) | 18.0359 | + | 4.27459i | 0.605586 | + | 0.143527i | 0.521959 | − | 0.852971i | \(-0.325201\pi\) |
0.0836271 | + | 0.996497i | \(0.473350\pi\) | |||||||
\(888\) | −1.86609 | − | 10.4270i | −0.0626220 | − | 0.349906i | ||||
\(889\) | −38.9603 | − | 4.55380i | −1.30669 | − | 0.152730i | ||||
\(890\) | 2.88637 | 0.0967514 | ||||||||
\(891\) | 4.07832 | − | 14.1484i | 0.136629 | − | 0.473988i | ||||
\(892\) | −1.58171 | −0.0529596 | ||||||||
\(893\) | 72.7692 | + | 8.50550i | 2.43513 | + | 0.284626i | ||||
\(894\) | −18.5702 | − | 6.70520i | −0.621080 | − | 0.224255i | ||||
\(895\) | −13.3389 | − | 3.16138i | −0.445870 | − | 0.105673i | ||||
\(896\) | 3.26342 | − | 1.63895i | 0.109023 | − | 0.0547535i | ||||
\(897\) | −1.66463 | − | 27.3730i | −0.0555804 | − | 0.913957i | ||||
\(898\) | −8.09791 | + | 27.0489i | −0.270231 | + | 0.902634i | ||||
\(899\) | 1.80351 | + | 0.656425i | 0.0601505 | + | 0.0218930i | ||||
\(900\) | −6.02155 | − | 10.3074i | −0.200718 | − | 0.343579i | ||||
\(901\) | 6.66407 | − | 2.42552i | 0.222012 | − | 0.0808059i | ||||
\(902\) | 0.146543 | + | 2.51604i | 0.00487934 | + | 0.0837750i | ||||
\(903\) | 32.9021 | + | 21.5195i | 1.09491 | + | 0.716126i | ||||
\(904\) | 7.40249 | + | 9.94327i | 0.246203 | + | 0.330708i | ||||
\(905\) | 0.943965 | − | 2.18836i | 0.0313785 | − | 0.0727435i | ||||
\(906\) | −9.25108 | − | 12.3602i | −0.307346 | − | 0.410639i | ||||
\(907\) | −4.76792 | − | 2.39454i | −0.158316 | − | 0.0795094i | 0.367877 | − | 0.929875i | \(-0.380085\pi\) |
−0.526193 | + | 0.850365i | \(0.676381\pi\) | |||||||
\(908\) | 12.2292 | + | 10.2615i | 0.405840 | + | 0.340540i | ||||
\(909\) | 1.72093 | + | 27.1511i | 0.0570795 | + | 0.900546i | ||||
\(910\) | 7.27977 | − | 6.10845i | 0.241322 | − | 0.202493i | ||||
\(911\) | 21.4188 | − | 5.07636i | 0.709638 | − | 0.168187i | 0.140082 | − | 0.990140i | \(-0.455263\pi\) |
0.569556 | + | 0.821953i | \(0.307115\pi\) | |||||||
\(912\) | −8.91501 | + | 12.0392i | −0.295205 | + | 0.398657i | ||||
\(913\) | 1.63853 | − | 28.1325i | 0.0542275 | − | 0.931050i | ||||
\(914\) | −7.80578 | − | 26.0731i | −0.258192 | − | 0.862422i | ||||
\(915\) | 2.75056 | − | 15.8362i | 0.0909308 | − | 0.523529i | ||||
\(916\) | −1.96347 | + | 2.63740i | −0.0648749 | + | 0.0871422i | ||||
\(917\) | 21.6645 | + | 37.5241i | 0.715426 | + | 1.23915i | ||||
\(918\) | −8.99373 | + | 30.9032i | −0.296837 | + | 1.01996i | ||||
\(919\) | 2.28274 | − | 3.95382i | 0.0753005 | − | 0.130424i | −0.825916 | − | 0.563793i | \(-0.809342\pi\) |
0.901217 | + | 0.433368i | \(0.142675\pi\) | |||||||
\(920\) | −3.55179 | − | 8.23397i | −0.117099 | − | 0.271466i | ||||
\(921\) | 5.48588 | − | 0.0140464i | 0.180766 | − | 0.000462844i | ||||
\(922\) | −1.78818 | + | 1.89536i | −0.0588907 | + | 0.0624205i | ||||
\(923\) | 37.2606 | + | 24.5067i | 1.22645 | + | 0.806648i | ||||
\(924\) | 7.19407 | − | 1.72449i | 0.236667 | − | 0.0567316i | ||||
\(925\) | −6.09606 | − | 6.46145i | −0.200437 | − | 0.212451i | ||||
\(926\) | 3.67666 | + | 20.8514i | 0.120823 | + | 0.685219i | ||||
\(927\) | −19.0220 | − | 4.40553i | −0.624763 | − | 0.144697i | ||||
\(928\) | 2.65348 | − | 15.0486i | 0.0871048 | − | 0.493996i | ||||
\(929\) | 36.6649 | − | 24.1149i | 1.20294 | − | 0.791184i | 0.220067 | − | 0.975485i | \(-0.429372\pi\) |
0.982870 | + | 0.184300i | \(0.0590019\pi\) | |||||||
\(930\) | −0.233020 | − | 0.771149i | −0.00764102 | − | 0.0252870i | ||||
\(931\) | −8.67265 | + | 1.01369i | −0.284235 | + | 0.0332223i | ||||
\(932\) | −20.1050 | + | 2.34993i | −0.658560 | + | 0.0769747i | ||||
\(933\) | 2.16749 | + | 0.507848i | 0.0709606 | + | 0.0166262i | ||||
\(934\) | 8.15606 | − | 5.36432i | 0.266874 | − | 0.175526i | ||||
\(935\) | −1.28084 | + | 7.26398i | −0.0418878 | + | 0.237558i | ||||
\(936\) | −37.1132 | + | 4.53067i | −1.21308 | + | 0.148090i | ||||
\(937\) | −5.69877 | − | 32.3193i | −0.186171 | − | 1.05583i | −0.924442 | − | 0.381323i | \(-0.875469\pi\) |
0.738271 | − | 0.674504i | \(-0.235642\pi\) | |||||||
\(938\) | −4.88807 | − | 5.18106i | −0.159601 | − | 0.169167i | ||||
\(939\) | −12.4271 | − | 13.1046i | −0.405544 | − | 0.427653i | ||||
\(940\) | 6.74843 | + | 4.43851i | 0.220109 | + | 0.144768i | ||||
\(941\) | −22.7426 | + | 24.1057i | −0.741387 | + | 0.785825i | −0.982815 | − | 0.184594i | \(-0.940903\pi\) |
0.241428 | + | 0.970419i | \(0.422384\pi\) | |||||||
\(942\) | −12.8626 | + | 22.4109i | −0.419085 | + | 0.730188i | ||||
\(943\) | −2.24850 | − | 5.21261i | −0.0732213 | − | 0.169746i | ||||
\(944\) | 4.89299 | − | 8.47490i | 0.159253 | − | 0.275835i | ||||
\(945\) | −8.74718 | + | 7.45500i | −0.284546 | + | 0.242511i | ||||
\(946\) | 6.71673 | + | 11.6337i | 0.218380 | + | 0.378245i | ||||
\(947\) | −27.4603 | + | 36.8855i | −0.892339 | + | 1.19862i | 0.0869628 | + | 0.996212i | \(0.472284\pi\) |
−0.979301 | + | 0.202407i | \(0.935124\pi\) | |||||||
\(948\) | −6.31241 | + | 2.31585i | −0.205018 | + | 0.0752154i | ||||
\(949\) | −16.2126 | − | 54.1538i | −0.526282 | − | 1.75791i | ||||
\(950\) | −1.67913 | + | 28.8295i | −0.0544780 | + | 0.935352i | ||||
\(951\) | −18.7198 | − | 43.0937i | −0.607032 | − | 1.39741i | ||||
\(952\) | −50.6720 | + | 12.0095i | −1.64229 | + | 0.389230i | ||||
\(953\) | −39.6249 | + | 33.2492i | −1.28358 | + | 1.07705i | −0.290835 | + | 0.956773i | \(0.593933\pi\) |
−0.992741 | + | 0.120275i | \(0.961622\pi\) | |||||||
\(954\) | 2.60509 | + | 2.73306i | 0.0843429 | + | 0.0884860i | ||||
\(955\) | −5.12119 | − | 4.29719i | −0.165718 | − | 0.139054i | ||||
\(956\) | −2.92300 | − | 1.46799i | −0.0945366 | − | 0.0474780i | ||||
\(957\) | 3.68372 | − | 8.60031i | 0.119078 | − | 0.278008i | ||||
\(958\) | 8.13606 | − | 18.8615i | 0.262864 | − | 0.609387i | ||||
\(959\) | −23.0079 | − | 30.9050i | −0.742965 | − | 0.997975i | ||||
\(960\) | −8.99717 | + | 4.54743i | −0.290383 | + | 0.146768i | ||||
\(961\) | 1.78284 | + | 30.6102i | 0.0575110 | + | 0.987426i | ||||
\(962\) | −8.11857 | + | 2.95492i | −0.261753 | + | 0.0952704i | ||||
\(963\) | 31.2967 | − | 11.5729i | 1.00852 | − | 0.372932i | ||||
\(964\) | 4.35654 | + | 1.58565i | 0.140315 | + | 0.0510704i | ||||
\(965\) | −3.87287 | + | 12.9363i | −0.124672 | + | 0.416434i | ||||
\(966\) | 16.9618 | − | 11.2183i | 0.545737 | − | 0.360942i | ||||
\(967\) | −55.4994 | + | 27.8728i | −1.78474 | + | 0.896330i | −0.868523 | + | 0.495648i | \(0.834930\pi\) |
−0.916217 | + | 0.400682i | \(0.868773\pi\) | |||||||
\(968\) | −24.6315 | − | 5.83776i | −0.791685 | − | 0.187633i | ||||
\(969\) | −48.7683 | + | 41.1347i | −1.56666 | + | 1.32144i | ||||
\(970\) | −8.70840 | − | 1.01787i | −0.279610 | − | 0.0326817i | ||||
\(971\) | −21.6241 | −0.693949 | −0.346975 | − | 0.937875i | \(-0.612791\pi\) | ||||
−0.346975 | + | 0.937875i | \(0.612791\pi\) | |||||||
\(972\) | 13.9242 | − | 1.80848i | 0.446618 | − | 0.0580071i | ||||
\(973\) | 37.2517 | 1.19423 | ||||||||
\(974\) | −10.1444 | − | 1.18571i | −0.325047 | − | 0.0379925i | ||||
\(975\) | −23.9678 | + | 20.2161i | −0.767583 | + | 0.647435i | ||||
\(976\) | 16.4139 | + | 3.89016i | 0.525395 | + | 0.124521i | ||||
\(977\) | 52.5689 | − | 26.4011i | 1.68183 | − | 0.844646i | 0.689047 | − | 0.724717i | \(-0.258029\pi\) |
0.992782 | − | 0.119930i | \(-0.0382670\pi\) | |||||||
\(978\) | −3.20320 | + | 2.11854i | −0.102427 | + | 0.0677436i | ||||
\(979\) | 1.69270 | − | 5.65400i | 0.0540988 | − | 0.180703i | ||||
\(980\) | −0.904592 | − | 0.329244i | −0.0288961 | − | 0.0105173i | ||||
\(981\) | −19.1914 | − | 15.9367i | −0.612733 | − | 0.508820i | ||||
\(982\) | 0.873782 | − | 0.318031i | 0.0278835 | − | 0.0101488i | ||||
\(983\) | −2.14011 | − | 36.7442i | −0.0682588 | − | 1.17196i | −0.842367 | − | 0.538905i | \(-0.818838\pi\) |
0.774108 | − | 0.633054i | \(-0.218199\pi\) | |||||||
\(984\) | −6.90758 | + | 3.49129i | −0.220205 | + | 0.111298i | ||||
\(985\) | −2.96400 | − | 3.98134i | −0.0944407 | − | 0.126856i | ||||
\(986\) | −8.10014 | + | 18.7782i | −0.257961 | + | 0.598021i | ||||
\(987\) | −23.2257 | + | 54.2245i | −0.739281 | + | 1.72598i | ||||
\(988\) | −20.5661 | − | 10.3287i | −0.654294 | − | 0.328599i | ||||
\(989\) | −23.1792 | − | 19.4497i | −0.737057 | − | 0.618464i | ||||
\(990\) | −3.81654 | + | 0.925203i | −0.121298 | + | 0.0294049i | ||||
\(991\) | 27.7566 | − | 23.2906i | 0.881718 | − | 0.739850i | −0.0848132 | − | 0.996397i | \(-0.527029\pi\) |
0.966532 | + | 0.256547i | \(0.0825849\pi\) | |||||||
\(992\) | −2.61784 | + | 0.620439i | −0.0831164 | + | 0.0196989i | ||||
\(993\) | −4.32722 | − | 9.96142i | −0.137320 | − | 0.316116i | ||||
\(994\) | −1.92293 | + | 33.0154i | −0.0609915 | + | 1.04718i | ||||
\(995\) | 3.49740 | + | 11.6821i | 0.110875 | + | 0.370348i | ||||
\(996\) | 25.2283 | − | 9.25555i | 0.799388 | − | 0.293273i | ||||
\(997\) | −8.22075 | + | 11.0424i | −0.260354 | + | 0.349716i | −0.913009 | − | 0.407939i | \(-0.866248\pi\) |
0.652655 | + | 0.757655i | \(0.273655\pi\) | |||||||
\(998\) | −10.7703 | − | 18.6547i | −0.340928 | − | 0.590505i | ||||
\(999\) | 9.79090 | − | 3.64901i | 0.309770 | − | 0.115450i |
(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 | 81.2.g.a.4.6 | ✓ | 144 | |
3.2 | odd | 2 | 243.2.g.a.64.3 | 144 | |||
9.2 | odd | 6 | 729.2.g.a.676.6 | 144 | |||
9.4 | even | 3 | 729.2.g.c.190.3 | 144 | |||
9.5 | odd | 6 | 729.2.g.b.190.6 | 144 | |||
9.7 | even | 3 | 729.2.g.d.676.3 | 144 | |||
81.7 | even | 27 | 729.2.g.d.55.3 | 144 | |||
81.20 | odd | 54 | 243.2.g.a.19.3 | 144 | |||
81.34 | even | 27 | 729.2.g.c.541.3 | 144 | |||
81.40 | even | 27 | 6561.2.a.c.1.28 | 72 | |||
81.41 | odd | 54 | 6561.2.a.d.1.45 | 72 | |||
81.47 | odd | 54 | 729.2.g.b.541.6 | 144 | |||
81.61 | even | 27 | inner | 81.2.g.a.61.6 | yes | 144 | |
81.74 | odd | 54 | 729.2.g.a.55.6 | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
81.2.g.a.4.6 | ✓ | 144 | 1.1 | even | 1 | trivial | |
81.2.g.a.61.6 | yes | 144 | 81.61 | even | 27 | inner | |
243.2.g.a.19.3 | 144 | 81.20 | odd | 54 | |||
243.2.g.a.64.3 | 144 | 3.2 | odd | 2 | |||
729.2.g.a.55.6 | 144 | 81.74 | odd | 54 | |||
729.2.g.a.676.6 | 144 | 9.2 | odd | 6 | |||
729.2.g.b.190.6 | 144 | 9.5 | odd | 6 | |||
729.2.g.b.541.6 | 144 | 81.47 | odd | 54 | |||
729.2.g.c.190.3 | 144 | 9.4 | even | 3 | |||
729.2.g.c.541.3 | 144 | 81.34 | even | 27 | |||
729.2.g.d.55.3 | 144 | 81.7 | even | 27 | |||
729.2.g.d.676.3 | 144 | 9.7 | even | 3 | |||
6561.2.a.c.1.28 | 72 | 81.40 | even | 27 | |||
6561.2.a.d.1.45 | 72 | 81.41 | odd | 54 |