Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [33,2,Mod(4,33)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(33, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("33.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 33 = 3 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 33.e (of order \(5\), 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: | \(0.263506326670\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Coefficient field: | \(\Q(\zeta_{10})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 25.1 | ||
Root | \(0.809017 - 0.587785i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 33.25 |
Dual form | 33.2.e.a.4.1 |
$q$-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 \(\left(\mathbb{Z}/33\mathbb{Z}\right)^\times\).
\(n\) | \(13\) | \(23\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.30902 | + | 0.951057i | −0.925615 | + | 0.672499i | −0.944915 | − | 0.327315i | \(-0.893856\pi\) |
0.0193004 | + | 0.999814i | \(0.493856\pi\) | |||||||
\(3\) | 0.309017 | + | 0.951057i | 0.178411 | + | 0.549093i | ||||
\(4\) | 0.190983 | − | 0.587785i | 0.0954915 | − | 0.293893i | ||||
\(5\) | 0.309017 | + | 0.224514i | 0.138197 | + | 0.100406i | 0.654736 | − | 0.755858i | \(-0.272780\pi\) |
−0.516539 | + | 0.856264i | \(0.672780\pi\) | |||||||
\(6\) | −1.30902 | − | 0.951057i | −0.534404 | − | 0.388267i | ||||
\(7\) | 0.927051 | − | 2.85317i | 0.350392 | − | 1.07840i | −0.608241 | − | 0.793752i | \(-0.708125\pi\) |
0.958633 | − | 0.284644i | \(-0.0918755\pi\) | |||||||
\(8\) | −0.690983 | − | 2.12663i | −0.244299 | − | 0.751876i | ||||
\(9\) | −0.809017 | + | 0.587785i | −0.269672 | + | 0.195928i | ||||
\(10\) | −0.618034 | −0.195440 | ||||||||
\(11\) | 2.80902 | − | 1.76336i | 0.846950 | − | 0.531672i | ||||
\(12\) | 0.618034 | 0.178411 | ||||||||
\(13\) | −5.04508 | + | 3.66547i | −1.39925 | + | 1.01662i | −0.404478 | + | 0.914548i | \(0.632547\pi\) |
−0.994777 | + | 0.102070i | \(0.967453\pi\) | |||||||
\(14\) | 1.50000 | + | 4.61653i | 0.400892 | + | 1.23382i | ||||
\(15\) | −0.118034 | + | 0.363271i | −0.0304762 | + | 0.0937962i | ||||
\(16\) | 3.92705 | + | 2.85317i | 0.981763 | + | 0.713292i | ||||
\(17\) | 0.500000 | + | 0.363271i | 0.121268 | + | 0.0881062i | 0.646766 | − | 0.762688i | \(-0.276121\pi\) |
−0.525498 | + | 0.850795i | \(0.676121\pi\) | |||||||
\(18\) | 0.500000 | − | 1.53884i | 0.117851 | − | 0.362708i | ||||
\(19\) | −0.263932 | − | 0.812299i | −0.0605502 | − | 0.186354i | 0.916206 | − | 0.400707i | \(-0.131236\pi\) |
−0.976756 | + | 0.214353i | \(0.931236\pi\) | |||||||
\(20\) | 0.190983 | − | 0.138757i | 0.0427051 | − | 0.0310271i | ||||
\(21\) | 3.00000 | 0.654654 | ||||||||
\(22\) | −2.00000 | + | 4.97980i | −0.426401 | + | 1.06170i | ||||
\(23\) | −5.47214 | −1.14102 | −0.570510 | − | 0.821291i | \(-0.693254\pi\) | ||||
−0.570510 | + | 0.821291i | \(0.693254\pi\) | |||||||
\(24\) | 1.80902 | − | 1.31433i | 0.369264 | − | 0.268286i | ||||
\(25\) | −1.50000 | − | 4.61653i | −0.300000 | − | 0.923305i | ||||
\(26\) | 3.11803 | − | 9.59632i | 0.611497 | − | 1.88199i | ||||
\(27\) | −0.809017 | − | 0.587785i | −0.155695 | − | 0.113119i | ||||
\(28\) | −1.50000 | − | 1.08981i | −0.283473 | − | 0.205955i | ||||
\(29\) | −1.38197 | + | 4.25325i | −0.256625 | + | 0.789809i | 0.736881 | + | 0.676023i | \(0.236298\pi\) |
−0.993505 | + | 0.113787i | \(0.963702\pi\) | |||||||
\(30\) | −0.190983 | − | 0.587785i | −0.0348686 | − | 0.107314i | ||||
\(31\) | 3.11803 | − | 2.26538i | 0.560015 | − | 0.406875i | −0.271449 | − | 0.962453i | \(-0.587503\pi\) |
0.831465 | + | 0.555578i | \(0.187503\pi\) | |||||||
\(32\) | −3.38197 | −0.597853 | ||||||||
\(33\) | 2.54508 | + | 2.12663i | 0.443042 | + | 0.370198i | ||||
\(34\) | −1.00000 | −0.171499 | ||||||||
\(35\) | 0.927051 | − | 0.673542i | 0.156700 | − | 0.113849i | ||||
\(36\) | 0.190983 | + | 0.587785i | 0.0318305 | + | 0.0979642i | ||||
\(37\) | −1.30902 | + | 4.02874i | −0.215201 | + | 0.662321i | 0.783938 | + | 0.620839i | \(0.213208\pi\) |
−0.999139 | + | 0.0414819i | \(0.986792\pi\) | |||||||
\(38\) | 1.11803 | + | 0.812299i | 0.181369 | + | 0.131772i | ||||
\(39\) | −5.04508 | − | 3.66547i | −0.807860 | − | 0.586945i | ||||
\(40\) | 0.263932 | − | 0.812299i | 0.0417313 | − | 0.128436i | ||||
\(41\) | 1.83688 | + | 5.65334i | 0.286873 | + | 0.882903i | 0.985831 | + | 0.167741i | \(0.0536472\pi\) |
−0.698958 | + | 0.715162i | \(0.746353\pi\) | |||||||
\(42\) | −3.92705 | + | 2.85317i | −0.605957 | + | 0.440254i | ||||
\(43\) | 1.76393 | 0.268997 | 0.134499 | − | 0.990914i | \(-0.457058\pi\) | ||||
0.134499 | + | 0.990914i | \(0.457058\pi\) | |||||||
\(44\) | −0.500000 | − | 1.98787i | −0.0753778 | − | 0.299683i | ||||
\(45\) | −0.381966 | −0.0569401 | ||||||||
\(46\) | 7.16312 | − | 5.20431i | 1.05614 | − | 0.767334i | ||||
\(47\) | −0.190983 | − | 0.587785i | −0.0278577 | − | 0.0857373i | 0.936161 | − | 0.351572i | \(-0.114353\pi\) |
−0.964019 | + | 0.265834i | \(0.914353\pi\) | |||||||
\(48\) | −1.50000 | + | 4.61653i | −0.216506 | + | 0.666338i | ||||
\(49\) | −1.61803 | − | 1.17557i | −0.231148 | − | 0.167939i | ||||
\(50\) | 6.35410 | + | 4.61653i | 0.898606 | + | 0.652875i | ||||
\(51\) | −0.190983 | + | 0.587785i | −0.0267430 | + | 0.0823064i | ||||
\(52\) | 1.19098 | + | 3.66547i | 0.165160 | + | 0.508309i | ||||
\(53\) | 5.97214 | − | 4.33901i | 0.820336 | − | 0.596009i | −0.0964728 | − | 0.995336i | \(-0.530756\pi\) |
0.916809 | + | 0.399327i | \(0.130756\pi\) | |||||||
\(54\) | 1.61803 | 0.220187 | ||||||||
\(55\) | 1.26393 | + | 0.0857567i | 0.170429 | + | 0.0115634i | ||||
\(56\) | −6.70820 | −0.896421 | ||||||||
\(57\) | 0.690983 | − | 0.502029i | 0.0915229 | − | 0.0664953i | ||||
\(58\) | −2.23607 | − | 6.88191i | −0.293610 | − | 0.903639i | ||||
\(59\) | −1.64590 | + | 5.06555i | −0.214278 | + | 0.659479i | 0.784926 | + | 0.619589i | \(0.212701\pi\) |
−0.999204 | + | 0.0398899i | \(0.987299\pi\) | |||||||
\(60\) | 0.190983 | + | 0.138757i | 0.0246558 | + | 0.0179135i | ||||
\(61\) | −0.927051 | − | 0.673542i | −0.118697 | − | 0.0862382i | 0.526853 | − | 0.849956i | \(-0.323372\pi\) |
−0.645550 | + | 0.763718i | \(0.723372\pi\) | |||||||
\(62\) | −1.92705 | + | 5.93085i | −0.244736 | + | 0.753219i | ||||
\(63\) | 0.927051 | + | 2.85317i | 0.116797 | + | 0.359466i | ||||
\(64\) | −3.42705 | + | 2.48990i | −0.428381 | + | 0.311237i | ||||
\(65\) | −2.38197 | −0.295447 | ||||||||
\(66\) | −5.35410 | − | 0.363271i | −0.659044 | − | 0.0447156i | ||||
\(67\) | 10.5623 | 1.29039 | 0.645196 | − | 0.764017i | \(-0.276776\pi\) | ||||
0.645196 | + | 0.764017i | \(0.276776\pi\) | |||||||
\(68\) | 0.309017 | − | 0.224514i | 0.0374738 | − | 0.0272263i | ||||
\(69\) | −1.69098 | − | 5.20431i | −0.203570 | − | 0.626525i | ||||
\(70\) | −0.572949 | + | 1.76336i | −0.0684805 | + | 0.210761i | ||||
\(71\) | −11.7812 | − | 8.55951i | −1.39817 | − | 1.01583i | −0.994913 | − | 0.100738i | \(-0.967880\pi\) |
−0.403253 | − | 0.915089i | \(-0.632120\pi\) | |||||||
\(72\) | 1.80902 | + | 1.31433i | 0.213195 | + | 0.154895i | ||||
\(73\) | 0.381966 | − | 1.17557i | 0.0447057 | − | 0.137590i | −0.926212 | − | 0.377003i | \(-0.876955\pi\) |
0.970918 | + | 0.239412i | \(0.0769548\pi\) | |||||||
\(74\) | −2.11803 | − | 6.51864i | −0.246216 | − | 0.757776i | ||||
\(75\) | 3.92705 | − | 2.85317i | 0.453457 | − | 0.329456i | ||||
\(76\) | −0.527864 | −0.0605502 | ||||||||
\(77\) | −2.42705 | − | 9.64932i | −0.276588 | − | 1.09964i | ||||
\(78\) | 10.0902 | 1.14249 | ||||||||
\(79\) | −0.427051 | + | 0.310271i | −0.0480470 | + | 0.0349082i | −0.611550 | − | 0.791206i | \(-0.709453\pi\) |
0.563503 | + | 0.826114i | \(0.309453\pi\) | |||||||
\(80\) | 0.572949 | + | 1.76336i | 0.0640576 | + | 0.197149i | ||||
\(81\) | 0.309017 | − | 0.951057i | 0.0343352 | − | 0.105673i | ||||
\(82\) | −7.78115 | − | 5.65334i | −0.859285 | − | 0.624307i | ||||
\(83\) | 10.2812 | + | 7.46969i | 1.12850 | + | 0.819906i | 0.985476 | − | 0.169813i | \(-0.0543165\pi\) |
0.143027 | + | 0.989719i | \(0.454316\pi\) | |||||||
\(84\) | 0.572949 | − | 1.76336i | 0.0625139 | − | 0.192398i | ||||
\(85\) | 0.0729490 | + | 0.224514i | 0.00791243 | + | 0.0243520i | ||||
\(86\) | −2.30902 | + | 1.67760i | −0.248988 | + | 0.180900i | ||||
\(87\) | −4.47214 | −0.479463 | ||||||||
\(88\) | −5.69098 | − | 4.75528i | −0.606661 | − | 0.506915i | ||||
\(89\) | 9.47214 | 1.00404 | 0.502022 | − | 0.864855i | \(-0.332590\pi\) | ||||
0.502022 | + | 0.864855i | \(0.332590\pi\) | |||||||
\(90\) | 0.500000 | − | 0.363271i | 0.0527046 | − | 0.0382922i | ||||
\(91\) | 5.78115 | + | 17.7926i | 0.606029 | + | 1.86517i | ||||
\(92\) | −1.04508 | + | 3.21644i | −0.108958 | + | 0.335337i | ||||
\(93\) | 3.11803 | + | 2.26538i | 0.323325 | + | 0.234909i | ||||
\(94\) | 0.809017 | + | 0.587785i | 0.0834437 | + | 0.0606254i | ||||
\(95\) | 0.100813 | − | 0.310271i | 0.0103432 | − | 0.0318331i | ||||
\(96\) | −1.04508 | − | 3.21644i | −0.106664 | − | 0.328277i | ||||
\(97\) | −12.1631 | + | 8.83702i | −1.23498 | + | 0.897264i | −0.997253 | − | 0.0740689i | \(-0.976402\pi\) |
−0.237724 | + | 0.971333i | \(0.576402\pi\) | |||||||
\(98\) | 3.23607 | 0.326892 | ||||||||
\(99\) | −1.23607 | + | 3.07768i | −0.124230 | + | 0.309319i | ||||
\(100\) | −3.00000 | −0.300000 | ||||||||
\(101\) | 2.42705 | − | 1.76336i | 0.241501 | − | 0.175460i | −0.460451 | − | 0.887685i | \(-0.652312\pi\) |
0.701952 | + | 0.712225i | \(0.252312\pi\) | |||||||
\(102\) | −0.309017 | − | 0.951057i | −0.0305972 | − | 0.0941686i | ||||
\(103\) | −1.85410 | + | 5.70634i | −0.182690 | + | 0.562262i | −0.999901 | − | 0.0140765i | \(-0.995519\pi\) |
0.817211 | + | 0.576339i | \(0.195519\pi\) | |||||||
\(104\) | 11.2812 | + | 8.19624i | 1.10621 | + | 0.803707i | ||||
\(105\) | 0.927051 | + | 0.673542i | 0.0904709 | + | 0.0657310i | ||||
\(106\) | −3.69098 | + | 11.3597i | −0.358500 | + | 1.10335i | ||||
\(107\) | 0.0729490 | + | 0.224514i | 0.00705225 | + | 0.0217046i | 0.954521 | − | 0.298145i | \(-0.0963678\pi\) |
−0.947468 | + | 0.319849i | \(0.896368\pi\) | |||||||
\(108\) | −0.500000 | + | 0.363271i | −0.0481125 | + | 0.0349558i | ||||
\(109\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(110\) | −1.73607 | + | 1.08981i | −0.165528 | + | 0.103910i | ||||
\(111\) | −4.23607 | −0.402070 | ||||||||
\(112\) | 11.7812 | − | 8.55951i | 1.11321 | − | 0.808798i | ||||
\(113\) | −3.92705 | − | 12.0862i | −0.369426 | − | 1.13698i | −0.947163 | − | 0.320753i | \(-0.896064\pi\) |
0.577737 | − | 0.816223i | \(-0.303936\pi\) | |||||||
\(114\) | −0.427051 | + | 1.31433i | −0.0399970 | + | 0.123098i | ||||
\(115\) | −1.69098 | − | 1.22857i | −0.157685 | − | 0.114565i | ||||
\(116\) | 2.23607 | + | 1.62460i | 0.207614 | + | 0.150840i | ||||
\(117\) | 1.92705 | − | 5.93085i | 0.178156 | − | 0.548308i | ||||
\(118\) | −2.66312 | − | 8.19624i | −0.245160 | − | 0.754525i | ||||
\(119\) | 1.50000 | − | 1.08981i | 0.137505 | − | 0.0999031i | ||||
\(120\) | 0.854102 | 0.0779685 | ||||||||
\(121\) | 4.78115 | − | 9.90659i | 0.434650 | − | 0.900599i | ||||
\(122\) | 1.85410 | 0.167863 | ||||||||
\(123\) | −4.80902 | + | 3.49396i | −0.433614 | + | 0.315039i | ||||
\(124\) | −0.736068 | − | 2.26538i | −0.0661009 | − | 0.203438i | ||||
\(125\) | 1.16312 | − | 3.57971i | 0.104033 | − | 0.320179i | ||||
\(126\) | −3.92705 | − | 2.85317i | −0.349850 | − | 0.254181i | ||||
\(127\) | −7.85410 | − | 5.70634i | −0.696939 | − | 0.506356i | 0.181995 | − | 0.983299i | \(-0.441745\pi\) |
−0.878934 | + | 0.476944i | \(0.841745\pi\) | |||||||
\(128\) | 4.20820 | − | 12.9515i | 0.371956 | − | 1.14476i | ||||
\(129\) | 0.545085 | + | 1.67760i | 0.0479921 | + | 0.147704i | ||||
\(130\) | 3.11803 | − | 2.26538i | 0.273470 | − | 0.198687i | ||||
\(131\) | −13.8541 | −1.21044 | −0.605219 | − | 0.796059i | \(-0.706915\pi\) | ||||
−0.605219 | + | 0.796059i | \(0.706915\pi\) | |||||||
\(132\) | 1.73607 | − | 1.08981i | 0.151105 | − | 0.0948561i | ||||
\(133\) | −2.56231 | −0.222180 | ||||||||
\(134\) | −13.8262 | + | 10.0453i | −1.19441 | + | 0.867786i | ||||
\(135\) | −0.118034 | − | 0.363271i | −0.0101587 | − | 0.0312654i | ||||
\(136\) | 0.427051 | − | 1.31433i | 0.0366193 | − | 0.112703i | ||||
\(137\) | 1.19098 | + | 0.865300i | 0.101753 | + | 0.0739276i | 0.637498 | − | 0.770452i | \(-0.279969\pi\) |
−0.535746 | + | 0.844379i | \(0.679969\pi\) | |||||||
\(138\) | 7.16312 | + | 5.20431i | 0.609765 | + | 0.443020i | ||||
\(139\) | 1.80902 | − | 5.56758i | 0.153439 | − | 0.472236i | −0.844561 | − | 0.535460i | \(-0.820138\pi\) |
0.997999 | + | 0.0632239i | \(0.0201382\pi\) | |||||||
\(140\) | −0.218847 | − | 0.673542i | −0.0184960 | − | 0.0569247i | ||||
\(141\) | 0.500000 | − | 0.363271i | 0.0421076 | − | 0.0305930i | ||||
\(142\) | 23.5623 | 1.97730 | ||||||||
\(143\) | −7.70820 | + | 19.1926i | −0.644592 | + | 1.60497i | ||||
\(144\) | −4.85410 | −0.404508 | ||||||||
\(145\) | −1.38197 | + | 1.00406i | −0.114766 | + | 0.0833824i | ||||
\(146\) | 0.618034 | + | 1.90211i | 0.0511489 | + | 0.157420i | ||||
\(147\) | 0.618034 | − | 1.90211i | 0.0509746 | − | 0.156884i | ||||
\(148\) | 2.11803 | + | 1.53884i | 0.174101 | + | 0.126492i | ||||
\(149\) | −12.1353 | − | 8.81678i | −0.994159 | − | 0.722299i | −0.0333309 | − | 0.999444i | \(-0.510612\pi\) |
−0.960828 | + | 0.277146i | \(0.910612\pi\) | |||||||
\(150\) | −2.42705 | + | 7.46969i | −0.198168 | + | 0.609898i | ||||
\(151\) | 0.618034 | + | 1.90211i | 0.0502949 | + | 0.154792i | 0.973050 | − | 0.230596i | \(-0.0740676\pi\) |
−0.922755 | + | 0.385388i | \(0.874068\pi\) | |||||||
\(152\) | −1.54508 | + | 1.12257i | −0.125323 | + | 0.0910524i | ||||
\(153\) | −0.618034 | −0.0499651 | ||||||||
\(154\) | 12.3541 | + | 10.3229i | 0.995522 | + | 0.831840i | ||||
\(155\) | 1.47214 | 0.118245 | ||||||||
\(156\) | −3.11803 | + | 2.26538i | −0.249643 | + | 0.181376i | ||||
\(157\) | 3.00000 | + | 9.23305i | 0.239426 | + | 0.736878i | 0.996503 | + | 0.0835524i | \(0.0266266\pi\) |
−0.757077 | + | 0.653325i | \(0.773373\pi\) | |||||||
\(158\) | 0.263932 | − | 0.812299i | 0.0209973 | − | 0.0646231i | ||||
\(159\) | 5.97214 | + | 4.33901i | 0.473621 | + | 0.344106i | ||||
\(160\) | −1.04508 | − | 0.759299i | −0.0826212 | − | 0.0600278i | ||||
\(161\) | −5.07295 | + | 15.6129i | −0.399804 | + | 1.23047i | ||||
\(162\) | 0.500000 | + | 1.53884i | 0.0392837 | + | 0.120903i | ||||
\(163\) | 12.3541 | − | 8.97578i | 0.967648 | − | 0.703037i | 0.0127336 | − | 0.999919i | \(-0.495947\pi\) |
0.954914 | + | 0.296882i | \(0.0959467\pi\) | |||||||
\(164\) | 3.67376 | 0.286873 | ||||||||
\(165\) | 0.309017 | + | 1.22857i | 0.0240569 | + | 0.0956441i | ||||
\(166\) | −20.5623 | −1.59594 | ||||||||
\(167\) | 15.3992 | − | 11.1882i | 1.19162 | − | 0.865766i | 0.198190 | − | 0.980164i | \(-0.436494\pi\) |
0.993435 | + | 0.114398i | \(0.0364938\pi\) | |||||||
\(168\) | −2.07295 | − | 6.37988i | −0.159931 | − | 0.492219i | ||||
\(169\) | 8.00000 | − | 24.6215i | 0.615385 | − | 1.89396i | ||||
\(170\) | −0.309017 | − | 0.224514i | −0.0237005 | − | 0.0172194i | ||||
\(171\) | 0.690983 | + | 0.502029i | 0.0528408 | + | 0.0383911i | ||||
\(172\) | 0.336881 | − | 1.03681i | 0.0256869 | − | 0.0790563i | ||||
\(173\) | 5.44427 | + | 16.7557i | 0.413920 | + | 1.27392i | 0.913213 | + | 0.407482i | \(0.133593\pi\) |
−0.499293 | + | 0.866433i | \(0.666407\pi\) | |||||||
\(174\) | 5.85410 | − | 4.25325i | 0.443798 | − | 0.322438i | ||||
\(175\) | −14.5623 | −1.10081 | ||||||||
\(176\) | 16.0623 | + | 1.08981i | 1.21074 | + | 0.0821478i | ||||
\(177\) | −5.32624 | −0.400345 | ||||||||
\(178\) | −12.3992 | + | 9.00854i | −0.929358 | + | 0.675218i | ||||
\(179\) | 0.690983 | + | 2.12663i | 0.0516465 | + | 0.158952i | 0.973553 | − | 0.228460i | \(-0.0733691\pi\) |
−0.921907 | + | 0.387412i | \(0.873369\pi\) | |||||||
\(180\) | −0.0729490 | + | 0.224514i | −0.00543730 | + | 0.0167343i | ||||
\(181\) | 6.89919 | + | 5.01255i | 0.512813 | + | 0.372580i | 0.813889 | − | 0.581020i | \(-0.197346\pi\) |
−0.301077 | + | 0.953600i | \(0.597346\pi\) | |||||||
\(182\) | −24.4894 | − | 17.7926i | −1.81527 | − | 1.31887i | ||||
\(183\) | 0.354102 | − | 1.08981i | 0.0261760 | − | 0.0805614i | ||||
\(184\) | 3.78115 | + | 11.6372i | 0.278750 | + | 0.857905i | ||||
\(185\) | −1.30902 | + | 0.951057i | −0.0962408 | + | 0.0699231i | ||||
\(186\) | −6.23607 | −0.457251 | ||||||||
\(187\) | 2.04508 | + | 0.138757i | 0.149551 | + | 0.0101469i | ||||
\(188\) | −0.381966 | −0.0278577 | ||||||||
\(189\) | −2.42705 | + | 1.76336i | −0.176542 | + | 0.128265i | ||||
\(190\) | 0.163119 | + | 0.502029i | 0.0118339 | + | 0.0364210i | ||||
\(191\) | 0.454915 | − | 1.40008i | 0.0329165 | − | 0.101307i | −0.933248 | − | 0.359232i | \(-0.883039\pi\) |
0.966165 | + | 0.257925i | \(0.0830388\pi\) | |||||||
\(192\) | −3.42705 | − | 2.48990i | −0.247326 | − | 0.179693i | ||||
\(193\) | −1.26393 | − | 0.918300i | −0.0909798 | − | 0.0661007i | 0.541365 | − | 0.840787i | \(-0.317908\pi\) |
−0.632345 | + | 0.774687i | \(0.717908\pi\) | |||||||
\(194\) | 7.51722 | − | 23.1356i | 0.539705 | − | 1.66104i | ||||
\(195\) | −0.736068 | − | 2.26538i | −0.0527109 | − | 0.162228i | ||||
\(196\) | −1.00000 | + | 0.726543i | −0.0714286 | + | 0.0518959i | ||||
\(197\) | 26.6180 | 1.89646 | 0.948228 | − | 0.317590i | \(-0.102873\pi\) | ||||
0.948228 | + | 0.317590i | \(0.102873\pi\) | |||||||
\(198\) | −1.30902 | − | 5.20431i | −0.0930278 | − | 0.369854i | ||||
\(199\) | −3.29180 | −0.233349 | −0.116675 | − | 0.993170i | \(-0.537223\pi\) | ||||
−0.116675 | + | 0.993170i | \(0.537223\pi\) | |||||||
\(200\) | −8.78115 | + | 6.37988i | −0.620921 | + | 0.451126i | ||||
\(201\) | 3.26393 | + | 10.0453i | 0.230220 | + | 0.708544i | ||||
\(202\) | −1.50000 | + | 4.61653i | −0.105540 | + | 0.324818i | ||||
\(203\) | 10.8541 | + | 7.88597i | 0.761809 | + | 0.553486i | ||||
\(204\) | 0.309017 | + | 0.224514i | 0.0216355 | + | 0.0157191i | ||||
\(205\) | −0.701626 | + | 2.15938i | −0.0490037 | + | 0.150818i | ||||
\(206\) | −3.00000 | − | 9.23305i | −0.209020 | − | 0.643297i | ||||
\(207\) | 4.42705 | − | 3.21644i | 0.307701 | − | 0.223558i | ||||
\(208\) | −30.2705 | −2.09888 | ||||||||
\(209\) | −2.17376 | − | 1.81636i | −0.150362 | − | 0.125640i | ||||
\(210\) | −1.85410 | −0.127945 | ||||||||
\(211\) | −9.11803 | + | 6.62464i | −0.627711 | + | 0.456059i | −0.855607 | − | 0.517627i | \(-0.826816\pi\) |
0.227895 | + | 0.973686i | \(0.426816\pi\) | |||||||
\(212\) | −1.40983 | − | 4.33901i | −0.0968275 | − | 0.298004i | ||||
\(213\) | 4.50000 | − | 13.8496i | 0.308335 | − | 0.948957i | ||||
\(214\) | −0.309017 | − | 0.224514i | −0.0211240 | − | 0.0153475i | ||||
\(215\) | 0.545085 | + | 0.396027i | 0.0371745 | + | 0.0270088i | ||||
\(216\) | −0.690983 | + | 2.12663i | −0.0470154 | + | 0.144699i | ||||
\(217\) | −3.57295 | − | 10.9964i | −0.242548 | − | 0.746485i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 1.23607 | 0.0835257 | ||||||||
\(220\) | 0.291796 | − | 0.726543i | 0.0196729 | − | 0.0489835i | ||||
\(221\) | −3.85410 | −0.259255 | ||||||||
\(222\) | 5.54508 | − | 4.02874i | 0.372162 | − | 0.270391i | ||||
\(223\) | −3.92705 | − | 12.0862i | −0.262975 | − | 0.809353i | −0.992153 | − | 0.125029i | \(-0.960097\pi\) |
0.729178 | − | 0.684324i | \(-0.239903\pi\) | |||||||
\(224\) | −3.13525 | + | 9.64932i | −0.209483 | + | 0.644722i | ||||
\(225\) | 3.92705 | + | 2.85317i | 0.261803 | + | 0.190211i | ||||
\(226\) | 16.6353 | + | 12.0862i | 1.10656 | + | 0.803963i | ||||
\(227\) | 3.36475 | − | 10.3556i | 0.223326 | − | 0.687327i | −0.775131 | − | 0.631800i | \(-0.782316\pi\) |
0.998457 | − | 0.0555264i | \(-0.0176837\pi\) | |||||||
\(228\) | −0.163119 | − | 0.502029i | −0.0108028 | − | 0.0332477i | ||||
\(229\) | −8.09017 | + | 5.87785i | −0.534613 | + | 0.388419i | −0.822081 | − | 0.569371i | \(-0.807187\pi\) |
0.287467 | + | 0.957790i | \(0.407187\pi\) | |||||||
\(230\) | 3.38197 | 0.223000 | ||||||||
\(231\) | 8.42705 | − | 5.29007i | 0.554459 | − | 0.348061i | ||||
\(232\) | 10.0000 | 0.656532 | ||||||||
\(233\) | −7.01722 | + | 5.09831i | −0.459713 | + | 0.334001i | −0.793419 | − | 0.608676i | \(-0.791701\pi\) |
0.333705 | + | 0.942677i | \(0.391701\pi\) | |||||||
\(234\) | 3.11803 | + | 9.59632i | 0.203832 | + | 0.627331i | ||||
\(235\) | 0.0729490 | − | 0.224514i | 0.00475867 | − | 0.0146457i | ||||
\(236\) | 2.66312 | + | 1.93487i | 0.173354 | + | 0.125949i | ||||
\(237\) | −0.427051 | − | 0.310271i | −0.0277399 | − | 0.0201542i | ||||
\(238\) | −0.927051 | + | 2.85317i | −0.0600918 | + | 0.184944i | ||||
\(239\) | −5.42705 | − | 16.7027i | −0.351047 | − | 1.08041i | −0.958266 | − | 0.285877i | \(-0.907715\pi\) |
0.607220 | − | 0.794534i | \(-0.292285\pi\) | |||||||
\(240\) | −1.50000 | + | 1.08981i | −0.0968246 | + | 0.0703472i | ||||
\(241\) | 17.1246 | 1.10309 | 0.551547 | − | 0.834144i | \(-0.314038\pi\) | ||||
0.551547 | + | 0.834144i | \(0.314038\pi\) | |||||||
\(242\) | 3.16312 | + | 17.5150i | 0.203333 | + | 1.12591i | ||||
\(243\) | 1.00000 | 0.0641500 | ||||||||
\(244\) | −0.572949 | + | 0.416272i | −0.0366793 | + | 0.0266491i | ||||
\(245\) | −0.236068 | − | 0.726543i | −0.0150818 | − | 0.0464171i | ||||
\(246\) | 2.97214 | − | 9.14729i | 0.189496 | − | 0.583210i | ||||
\(247\) | 4.30902 | + | 3.13068i | 0.274176 | + | 0.199201i | ||||
\(248\) | −6.97214 | − | 5.06555i | −0.442731 | − | 0.321663i | ||||
\(249\) | −3.92705 | + | 12.0862i | −0.248867 | + | 0.765933i | ||||
\(250\) | 1.88197 | + | 5.79210i | 0.119026 | + | 0.366324i | ||||
\(251\) | −13.5902 | + | 9.87384i | −0.857804 | + | 0.623231i | −0.927287 | − | 0.374352i | \(-0.877865\pi\) |
0.0694827 | + | 0.997583i | \(0.477865\pi\) | |||||||
\(252\) | 1.85410 | 0.116797 | ||||||||
\(253\) | −15.3713 | + | 9.64932i | −0.966387 | + | 0.606648i | ||||
\(254\) | 15.7082 | 0.985620 | ||||||||
\(255\) | −0.190983 | + | 0.138757i | −0.0119598 | + | 0.00868932i | ||||
\(256\) | 4.19098 | + | 12.8985i | 0.261936 | + | 0.806157i | ||||
\(257\) | −8.44427 | + | 25.9888i | −0.526739 | + | 1.62114i | 0.234112 | + | 0.972210i | \(0.424782\pi\) |
−0.760851 | + | 0.648927i | \(0.775218\pi\) | |||||||
\(258\) | −2.30902 | − | 1.67760i | −0.143753 | − | 0.104443i | ||||
\(259\) | 10.2812 | + | 7.46969i | 0.638840 | + | 0.464144i | ||||
\(260\) | −0.454915 | + | 1.40008i | −0.0282126 | + | 0.0868296i | ||||
\(261\) | −1.38197 | − | 4.25325i | −0.0855415 | − | 0.263270i | ||||
\(262\) | 18.1353 | − | 13.1760i | 1.12040 | − | 0.814018i | ||||
\(263\) | −0.673762 | −0.0415459 | −0.0207730 | − | 0.999784i | \(-0.506613\pi\) | ||||
−0.0207730 | + | 0.999784i | \(0.506613\pi\) | |||||||
\(264\) | 2.76393 | − | 6.88191i | 0.170108 | − | 0.423552i | ||||
\(265\) | 2.81966 | 0.173210 | ||||||||
\(266\) | 3.35410 | − | 2.43690i | 0.205653 | − | 0.149416i | ||||
\(267\) | 2.92705 | + | 9.00854i | 0.179133 | + | 0.551313i | ||||
\(268\) | 2.01722 | − | 6.20837i | 0.123221 | − | 0.379236i | ||||
\(269\) | −19.7984 | − | 14.3844i | −1.20713 | − | 0.877030i | −0.212161 | − | 0.977235i | \(-0.568050\pi\) |
−0.994967 | + | 0.100205i | \(0.968050\pi\) | |||||||
\(270\) | 0.500000 | + | 0.363271i | 0.0304290 | + | 0.0221080i | ||||
\(271\) | 1.93769 | − | 5.96361i | 0.117707 | − | 0.362263i | −0.874795 | − | 0.484493i | \(-0.839004\pi\) |
0.992502 | + | 0.122229i | \(0.0390043\pi\) | |||||||
\(272\) | 0.927051 | + | 2.85317i | 0.0562107 | + | 0.172999i | ||||
\(273\) | −15.1353 | + | 10.9964i | −0.916027 | + | 0.665533i | ||||
\(274\) | −2.38197 | −0.143900 | ||||||||
\(275\) | −12.3541 | − | 10.3229i | −0.744980 | − | 0.622492i | ||||
\(276\) | −3.38197 | −0.203570 | ||||||||
\(277\) | −8.44427 | + | 6.13512i | −0.507367 | + | 0.368624i | −0.811824 | − | 0.583902i | \(-0.801525\pi\) |
0.304457 | + | 0.952526i | \(0.401525\pi\) | |||||||
\(278\) | 2.92705 | + | 9.00854i | 0.175553 | + | 0.540296i | ||||
\(279\) | −1.19098 | + | 3.66547i | −0.0713023 | + | 0.219446i | ||||
\(280\) | −2.07295 | − | 1.50609i | −0.123882 | − | 0.0900058i | ||||
\(281\) | 4.23607 | + | 3.07768i | 0.252703 | + | 0.183599i | 0.706924 | − | 0.707290i | \(-0.250082\pi\) |
−0.454221 | + | 0.890889i | \(0.650082\pi\) | |||||||
\(282\) | −0.309017 | + | 0.951057i | −0.0184017 | + | 0.0566346i | ||||
\(283\) | −6.85410 | − | 21.0948i | −0.407434 | − | 1.25395i | −0.918846 | − | 0.394617i | \(-0.870877\pi\) |
0.511412 | − | 0.859336i | \(-0.329123\pi\) | |||||||
\(284\) | −7.28115 | + | 5.29007i | −0.432057 | + | 0.313908i | ||||
\(285\) | 0.326238 | 0.0193247 | ||||||||
\(286\) | −8.16312 | − | 32.4544i | −0.482695 | − | 1.91907i | ||||
\(287\) | 17.8328 | 1.05264 | ||||||||
\(288\) | 2.73607 | − | 1.98787i | 0.161224 | − | 0.117136i | ||||
\(289\) | −5.13525 | − | 15.8047i | −0.302074 | − | 0.929688i | ||||
\(290\) | 0.854102 | − | 2.62866i | 0.0501546 | − | 0.154360i | ||||
\(291\) | −12.1631 | − | 8.83702i | −0.713015 | − | 0.518035i | ||||
\(292\) | −0.618034 | − | 0.449028i | −0.0361677 | − | 0.0262774i | ||||
\(293\) | 5.54508 | − | 17.0660i | 0.323947 | − | 0.997007i | −0.647966 | − | 0.761669i | \(-0.724380\pi\) |
0.971914 | − | 0.235338i | \(-0.0756198\pi\) | |||||||
\(294\) | 1.00000 | + | 3.07768i | 0.0583212 | + | 0.179494i | ||||
\(295\) | −1.64590 | + | 1.19581i | −0.0958279 | + | 0.0696230i | ||||
\(296\) | 9.47214 | 0.550557 | ||||||||
\(297\) | −3.30902 | − | 0.224514i | −0.192009 | − | 0.0130276i | ||||
\(298\) | 24.2705 | 1.40595 | ||||||||
\(299\) | 27.6074 | − | 20.0579i | 1.59658 | − | 1.15998i | ||||
\(300\) | −0.927051 | − | 2.85317i | −0.0535233 | − | 0.164728i | ||||
\(301\) | 1.63525 | − | 5.03280i | 0.0942545 | − | 0.290086i | ||||
\(302\) | −2.61803 | − | 1.90211i | −0.150651 | − | 0.109454i | ||||
\(303\) | 2.42705 | + | 1.76336i | 0.139430 | + | 0.101302i | ||||
\(304\) | 1.28115 | − | 3.94298i | 0.0734792 | − | 0.226146i | ||||
\(305\) | −0.135255 | − | 0.416272i | −0.00774467 | − | 0.0238357i | ||||
\(306\) | 0.809017 | − | 0.587785i | 0.0462484 | − | 0.0336014i | ||||
\(307\) | −19.5623 | −1.11648 | −0.558240 | − | 0.829680i | \(-0.688523\pi\) | ||||
−0.558240 | + | 0.829680i | \(0.688523\pi\) | |||||||
\(308\) | −6.13525 | − | 0.416272i | −0.349589 | − | 0.0237193i | ||||
\(309\) | −6.00000 | −0.341328 | ||||||||
\(310\) | −1.92705 | + | 1.40008i | −0.109449 | + | 0.0795195i | ||||
\(311\) | 3.54508 | + | 10.9106i | 0.201023 | + | 0.618686i | 0.999853 | + | 0.0171293i | \(0.00545269\pi\) |
−0.798830 | + | 0.601557i | \(0.794547\pi\) | |||||||
\(312\) | −4.30902 | + | 13.2618i | −0.243950 | + | 0.750801i | ||||
\(313\) | 22.5172 | + | 16.3597i | 1.27275 | + | 0.924706i | 0.999308 | − | 0.0371831i | \(-0.0118385\pi\) |
0.273440 | + | 0.961889i | \(0.411838\pi\) | |||||||
\(314\) | −12.7082 | − | 9.23305i | −0.717165 | − | 0.521051i | ||||
\(315\) | −0.354102 | + | 1.08981i | −0.0199514 | + | 0.0614041i | ||||
\(316\) | 0.100813 | + | 0.310271i | 0.00567118 | + | 0.0174541i | ||||
\(317\) | −20.5172 | + | 14.9066i | −1.15236 | + | 0.837240i | −0.988793 | − | 0.149292i | \(-0.952301\pi\) |
−0.163569 | + | 0.986532i | \(0.552301\pi\) | |||||||
\(318\) | −11.9443 | −0.669802 | ||||||||
\(319\) | 3.61803 | + | 14.3844i | 0.202571 | + | 0.805370i | ||||
\(320\) | −1.61803 | −0.0904508 | ||||||||
\(321\) | −0.190983 | + | 0.138757i | −0.0106596 | + | 0.00774468i | ||||
\(322\) | −8.20820 | − | 25.2623i | −0.457425 | − | 1.40781i | ||||
\(323\) | 0.163119 | − | 0.502029i | 0.00907618 | − | 0.0279336i | ||||
\(324\) | −0.500000 | − | 0.363271i | −0.0277778 | − | 0.0201817i | ||||
\(325\) | 24.4894 | + | 17.7926i | 1.35843 | + | 0.986954i | ||||
\(326\) | −7.63525 | + | 23.4989i | −0.422878 | + | 1.30148i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 10.7533 | − | 7.81272i | 0.593751 | − | 0.431385i | ||||
\(329\) | −1.85410 | −0.102220 | ||||||||
\(330\) | −1.57295 | − | 1.31433i | −0.0865880 | − | 0.0723514i | ||||
\(331\) | −22.5967 | −1.24203 | −0.621015 | − | 0.783799i | \(-0.713279\pi\) | ||||
−0.621015 | + | 0.783799i | \(0.713279\pi\) | |||||||
\(332\) | 6.35410 | − | 4.61653i | 0.348727 | − | 0.253365i | ||||
\(333\) | −1.30902 | − | 4.02874i | −0.0717337 | − | 0.220774i | ||||
\(334\) | −9.51722 | + | 29.2910i | −0.520759 | + | 1.60273i | ||||
\(335\) | 3.26393 | + | 2.37139i | 0.178328 | + | 0.129563i | ||||
\(336\) | 11.7812 | + | 8.55951i | 0.642715 | + | 0.466959i | ||||
\(337\) | −4.23607 | + | 13.0373i | −0.230753 | + | 0.710186i | 0.766903 | + | 0.641763i | \(0.221797\pi\) |
−0.997656 | + | 0.0684228i | \(0.978203\pi\) | |||||||
\(338\) | 12.9443 | + | 39.8384i | 0.704076 | + | 2.16692i | ||||
\(339\) | 10.2812 | − | 7.46969i | 0.558396 | − | 0.405698i | ||||
\(340\) | 0.145898 | 0.00791243 | ||||||||
\(341\) | 4.76393 | − | 11.8617i | 0.257981 | − | 0.642347i | ||||
\(342\) | −1.38197 | −0.0747282 | ||||||||
\(343\) | 12.1353 | − | 8.81678i | 0.655242 | − | 0.476061i | ||||
\(344\) | −1.21885 | − | 3.75123i | −0.0657158 | − | 0.202253i | ||||
\(345\) | 0.645898 | − | 1.98787i | 0.0347740 | − | 0.107023i | ||||
\(346\) | −23.0623 | − | 16.7557i | −1.23984 | − | 0.900794i | ||||
\(347\) | 2.47214 | + | 1.79611i | 0.132711 | + | 0.0964203i | 0.652160 | − | 0.758081i | \(-0.273863\pi\) |
−0.519449 | + | 0.854501i | \(0.673863\pi\) | |||||||
\(348\) | −0.854102 | + | 2.62866i | −0.0457847 | + | 0.140911i | ||||
\(349\) | 9.30902 | + | 28.6502i | 0.498300 | + | 1.53361i | 0.811750 | + | 0.584006i | \(0.198515\pi\) |
−0.313449 | + | 0.949605i | \(0.601485\pi\) | |||||||
\(350\) | 19.0623 | − | 13.8496i | 1.01892 | − | 0.740291i | ||||
\(351\) | 6.23607 | 0.332857 | ||||||||
\(352\) | −9.50000 | + | 5.96361i | −0.506352 | + | 0.317861i | ||||
\(353\) | −1.52786 | −0.0813200 | −0.0406600 | − | 0.999173i | \(-0.512946\pi\) | ||||
−0.0406600 | + | 0.999173i | \(0.512946\pi\) | |||||||
\(354\) | 6.97214 | − | 5.06555i | 0.370565 | − | 0.269231i | ||||
\(355\) | −1.71885 | − | 5.29007i | −0.0912269 | − | 0.280768i | ||||
\(356\) | 1.80902 | − | 5.56758i | 0.0958777 | − | 0.295081i | ||||
\(357\) | 1.50000 | + | 1.08981i | 0.0793884 | + | 0.0576791i | ||||
\(358\) | −2.92705 | − | 2.12663i | −0.154699 | − | 0.112396i | ||||
\(359\) | −5.32624 | + | 16.3925i | −0.281108 | + | 0.865162i | 0.706430 | + | 0.707783i | \(0.250304\pi\) |
−0.987538 | + | 0.157379i | \(0.949696\pi\) | |||||||
\(360\) | 0.263932 | + | 0.812299i | 0.0139104 | + | 0.0428119i | ||||
\(361\) | 14.7812 | − | 10.7391i | 0.777955 | − | 0.565218i | ||||
\(362\) | −13.7984 | −0.725226 | ||||||||
\(363\) | 10.8992 | + | 1.48584i | 0.572059 | + | 0.0779864i | ||||
\(364\) | 11.5623 | 0.606029 | ||||||||
\(365\) | 0.381966 | − | 0.277515i | 0.0199930 | − | 0.0145258i | ||||
\(366\) | 0.572949 | + | 1.76336i | 0.0299485 | + | 0.0921721i | ||||
\(367\) | −4.50000 | + | 13.8496i | −0.234898 | + | 0.722942i | 0.762237 | + | 0.647298i | \(0.224101\pi\) |
−0.997135 | + | 0.0756437i | \(0.975899\pi\) | |||||||
\(368\) | −21.4894 | − | 15.6129i | −1.12021 | − | 0.813880i | ||||
\(369\) | −4.80902 | − | 3.49396i | −0.250347 | − | 0.181888i | ||||
\(370\) | 0.809017 | − | 2.48990i | 0.0420588 | − | 0.129444i | ||||
\(371\) | −6.84346 | − | 21.0620i | −0.355295 | − | 1.09348i | ||||
\(372\) | 1.92705 | − | 1.40008i | 0.0999129 | − | 0.0725910i | ||||
\(373\) | 22.4164 | 1.16068 | 0.580339 | − | 0.814375i | \(-0.302920\pi\) | ||||
0.580339 | + | 0.814375i | \(0.302920\pi\) | |||||||
\(374\) | −2.80902 | + | 1.76336i | −0.145251 | + | 0.0911810i | ||||
\(375\) | 3.76393 | 0.194369 | ||||||||
\(376\) | −1.11803 | + | 0.812299i | −0.0576582 | + | 0.0418911i | ||||
\(377\) | −8.61803 | − | 26.5236i | −0.443851 | − | 1.36603i | ||||
\(378\) | 1.50000 | − | 4.61653i | 0.0771517 | − | 0.237448i | ||||
\(379\) | −22.9894 | − | 16.7027i | −1.18088 | − | 0.857962i | −0.188613 | − | 0.982052i | \(-0.560399\pi\) |
−0.992271 | + | 0.124089i | \(0.960399\pi\) | |||||||
\(380\) | −0.163119 | − | 0.118513i | −0.00836783 | − | 0.00607958i | ||||
\(381\) | 3.00000 | − | 9.23305i | 0.153695 | − | 0.473024i | ||||
\(382\) | 0.736068 | + | 2.26538i | 0.0376605 | + | 0.115907i | ||||
\(383\) | 7.19098 | − | 5.22455i | 0.367442 | − | 0.266962i | −0.388707 | − | 0.921361i | \(-0.627078\pi\) |
0.756149 | + | 0.654399i | \(0.227078\pi\) | |||||||
\(384\) | 13.6180 | 0.694942 | ||||||||
\(385\) | 1.41641 | − | 3.52671i | 0.0721868 | − | 0.179738i | ||||
\(386\) | 2.52786 | 0.128665 | ||||||||
\(387\) | −1.42705 | + | 1.03681i | −0.0725411 | + | 0.0527042i | ||||
\(388\) | 2.87132 | + | 8.83702i | 0.145769 | + | 0.448632i | ||||
\(389\) | −2.86475 | + | 8.81678i | −0.145248 | + | 0.447028i | −0.997043 | − | 0.0768476i | \(-0.975515\pi\) |
0.851795 | + | 0.523876i | \(0.175515\pi\) | |||||||
\(390\) | 3.11803 | + | 2.26538i | 0.157888 | + | 0.114712i | ||||
\(391\) | −2.73607 | − | 1.98787i | −0.138369 | − | 0.100531i | ||||
\(392\) | −1.38197 | + | 4.25325i | −0.0697998 | + | 0.214822i | ||||
\(393\) | −4.28115 | − | 13.1760i | −0.215956 | − | 0.664643i | ||||
\(394\) | −34.8435 | + | 25.3153i | −1.75539 | + | 1.27536i | ||||
\(395\) | −0.201626 | −0.0101449 | ||||||||
\(396\) | 1.57295 | + | 1.31433i | 0.0790437 | + | 0.0660475i | ||||
\(397\) | −25.2918 | −1.26936 | −0.634679 | − | 0.772776i | \(-0.718868\pi\) | ||||
−0.634679 | + | 0.772776i | \(0.718868\pi\) | |||||||
\(398\) | 4.30902 | − | 3.13068i | 0.215992 | − | 0.156927i | ||||
\(399\) | −0.791796 | − | 2.43690i | −0.0396394 | − | 0.121997i | ||||
\(400\) | 7.28115 | − | 22.4091i | 0.364058 | − | 1.12045i | ||||
\(401\) | 12.0623 | + | 8.76378i | 0.602363 | + | 0.437642i | 0.846717 | − | 0.532044i | \(-0.178576\pi\) |
−0.244354 | + | 0.969686i | \(0.578576\pi\) | |||||||
\(402\) | −13.8262 | − | 10.0453i | −0.689590 | − | 0.501017i | ||||
\(403\) | −7.42705 | + | 22.8581i | −0.369968 | + | 1.13864i | ||||
\(404\) | −0.572949 | − | 1.76336i | −0.0285053 | − | 0.0877302i | ||||
\(405\) | 0.309017 | − | 0.224514i | 0.0153552 | − | 0.0111562i | ||||
\(406\) | −21.7082 | −1.07736 | ||||||||
\(407\) | 3.42705 | + | 13.6251i | 0.169873 | + | 0.675369i | ||||
\(408\) | 1.38197 | 0.0684175 | ||||||||
\(409\) | 23.4164 | − | 17.0130i | 1.15787 | − | 0.841240i | 0.168360 | − | 0.985726i | \(-0.446153\pi\) |
0.989507 | + | 0.144486i | \(0.0461529\pi\) | |||||||
\(410\) | −1.13525 | − | 3.49396i | −0.0560662 | − | 0.172554i | ||||
\(411\) | −0.454915 | + | 1.40008i | −0.0224393 | + | 0.0690611i | ||||
\(412\) | 3.00000 | + | 2.17963i | 0.147799 | + | 0.107383i | ||||
\(413\) | 12.9271 | + | 9.39205i | 0.636099 | + | 0.462153i | ||||
\(414\) | −2.73607 | + | 8.42075i | −0.134470 | + | 0.413857i | ||||
\(415\) | 1.50000 | + | 4.61653i | 0.0736321 | + | 0.226616i | ||||
\(416\) | 17.0623 | − | 12.3965i | 0.836548 | − | 0.607788i | ||||
\(417\) | 5.85410 | 0.286677 | ||||||||
\(418\) | 4.57295 | + | 0.310271i | 0.223670 | + | 0.0151758i | ||||
\(419\) | −21.5066 | −1.05067 | −0.525333 | − | 0.850897i | \(-0.676059\pi\) | ||||
−0.525333 | + | 0.850897i | \(0.676059\pi\) | |||||||
\(420\) | 0.572949 | − | 0.416272i | 0.0279570 | − | 0.0203120i | ||||
\(421\) | −1.15248 | − | 3.54696i | −0.0561682 | − | 0.172868i | 0.919037 | − | 0.394172i | \(-0.128969\pi\) |
−0.975205 | + | 0.221304i | \(0.928969\pi\) | |||||||
\(422\) | 5.63525 | − | 17.3435i | 0.274320 | − | 0.844270i | ||||
\(423\) | 0.500000 | + | 0.363271i | 0.0243108 | + | 0.0176629i | ||||
\(424\) | −13.3541 | − | 9.70232i | −0.648533 | − | 0.471186i | ||||
\(425\) | 0.927051 | − | 2.85317i | 0.0449686 | − | 0.138399i | ||||
\(426\) | 7.28115 | + | 22.4091i | 0.352773 | + | 1.08572i | ||||
\(427\) | −2.78115 | + | 2.02063i | −0.134589 | + | 0.0977849i | ||||
\(428\) | 0.145898 | 0.00705225 | ||||||||
\(429\) | −20.6353 | − | 1.40008i | −0.996279 | − | 0.0675967i | ||||
\(430\) | −1.09017 | −0.0525727 | ||||||||
\(431\) | 1.20820 | − | 0.877812i | 0.0581971 | − | 0.0422827i | −0.558306 | − | 0.829635i | \(-0.688549\pi\) |
0.616503 | + | 0.787352i | \(0.288549\pi\) | |||||||
\(432\) | −1.50000 | − | 4.61653i | −0.0721688 | − | 0.222113i | ||||
\(433\) | −1.85410 | + | 5.70634i | −0.0891025 | + | 0.274229i | −0.985672 | − | 0.168674i | \(-0.946051\pi\) |
0.896569 | + | 0.442903i | \(0.146051\pi\) | |||||||
\(434\) | 15.1353 | + | 10.9964i | 0.726515 | + | 0.527844i | ||||
\(435\) | −1.38197 | − | 1.00406i | −0.0662602 | − | 0.0481409i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 1.44427 | + | 4.44501i | 0.0690889 | + | 0.212634i | ||||
\(438\) | −1.61803 | + | 1.17557i | −0.0773127 | + | 0.0561709i | ||||
\(439\) | 16.7082 | 0.797439 | 0.398720 | − | 0.917073i | \(-0.369455\pi\) | ||||
0.398720 | + | 0.917073i | \(0.369455\pi\) | |||||||
\(440\) | −0.690983 | − | 2.74717i | −0.0329413 | − | 0.130966i | ||||
\(441\) | 2.00000 | 0.0952381 | ||||||||
\(442\) | 5.04508 | − | 3.66547i | 0.239970 | − | 0.174349i | ||||
\(443\) | −0.270510 | − | 0.832544i | −0.0128523 | − | 0.0395553i | 0.944425 | − | 0.328728i | \(-0.106620\pi\) |
−0.957277 | + | 0.289172i | \(0.906620\pi\) | |||||||
\(444\) | −0.809017 | + | 2.48990i | −0.0383942 | + | 0.118165i | ||||
\(445\) | 2.92705 | + | 2.12663i | 0.138756 | + | 0.100812i | ||||
\(446\) | 16.6353 | + | 12.0862i | 0.787702 | + | 0.572299i | ||||
\(447\) | 4.63525 | − | 14.2658i | 0.219240 | − | 0.674751i | ||||
\(448\) | 3.92705 | + | 12.0862i | 0.185536 | + | 0.571020i | ||||
\(449\) | 12.5623 | − | 9.12705i | 0.592852 | − | 0.430732i | −0.250483 | − | 0.968121i | \(-0.580589\pi\) |
0.843334 | + | 0.537389i | \(0.180589\pi\) | |||||||
\(450\) | −7.85410 | −0.370246 | ||||||||
\(451\) | 15.1287 | + | 12.6412i | 0.712382 | + | 0.595253i | ||||
\(452\) | −7.85410 | −0.369426 | ||||||||
\(453\) | −1.61803 | + | 1.17557i | −0.0760219 | + | 0.0552331i | ||||
\(454\) | 5.44427 | + | 16.7557i | 0.255512 | + | 0.786386i | ||||
\(455\) | −2.20820 | + | 6.79615i | −0.103522 | + | 0.318609i | ||||
\(456\) | −1.54508 | − | 1.12257i | −0.0723552 | − | 0.0525692i | ||||
\(457\) | −26.5344 | − | 19.2784i | −1.24123 | − | 0.901806i | −0.243549 | − | 0.969889i | \(-0.578312\pi\) |
−0.997680 | + | 0.0680830i | \(0.978312\pi\) | |||||||
\(458\) | 5.00000 | − | 15.3884i | 0.233635 | − | 0.719054i | ||||
\(459\) | −0.190983 | − | 0.587785i | −0.00891432 | − | 0.0274355i | ||||
\(460\) | −1.04508 | + | 0.759299i | −0.0487273 | + | 0.0354025i | ||||
\(461\) | −9.90983 | −0.461547 | −0.230773 | − | 0.973008i | \(-0.574126\pi\) | ||||
−0.230773 | + | 0.973008i | \(0.574126\pi\) | |||||||
\(462\) | −6.00000 | + | 14.9394i | −0.279145 | + | 0.695043i | ||||
\(463\) | 8.79837 | 0.408895 | 0.204448 | − | 0.978878i | \(-0.434460\pi\) | ||||
0.204448 | + | 0.978878i | \(0.434460\pi\) | |||||||
\(464\) | −17.5623 | + | 12.7598i | −0.815310 | + | 0.592357i | ||||
\(465\) | 0.454915 | + | 1.40008i | 0.0210962 | + | 0.0649274i | ||||
\(466\) | 4.33688 | − | 13.3475i | 0.200902 | − | 0.618313i | ||||
\(467\) | 11.5172 | + | 8.36775i | 0.532953 | + | 0.387213i | 0.821461 | − | 0.570264i | \(-0.193159\pi\) |
−0.288508 | + | 0.957478i | \(0.593159\pi\) | |||||||
\(468\) | −3.11803 | − | 2.26538i | −0.144131 | − | 0.104717i | ||||
\(469\) | 9.79180 | − | 30.1360i | 0.452143 | − | 1.39155i | ||||
\(470\) | 0.118034 | + | 0.363271i | 0.00544450 | + | 0.0167565i | ||||
\(471\) | −7.85410 | + | 5.70634i | −0.361898 | + | 0.262934i | ||||
\(472\) | 11.9098 | 0.548194 | ||||||||
\(473\) | 4.95492 | − | 3.11044i | 0.227827 | − | 0.143018i | ||||
\(474\) | 0.854102 | 0.0392302 | ||||||||
\(475\) | −3.35410 | + | 2.43690i | −0.153897 | + | 0.111813i | ||||
\(476\) | −0.354102 | − | 1.08981i | −0.0162302 | − | 0.0499515i | ||||
\(477\) | −2.28115 | + | 7.02067i | −0.104447 | + | 0.321454i | ||||
\(478\) | 22.9894 | + | 16.7027i | 1.05151 | + | 0.763966i | ||||
\(479\) | 13.6803 | + | 9.93935i | 0.625071 | + | 0.454140i | 0.854689 | − | 0.519140i | \(-0.173748\pi\) |
−0.229618 | + | 0.973281i | \(0.573748\pi\) | |||||||
\(480\) | 0.399187 | − | 1.22857i | 0.0182203 | − | 0.0560763i | ||||
\(481\) | −8.16312 | − | 25.1235i | −0.372206 | − | 1.14553i | ||||
\(482\) | −22.4164 | + | 16.2865i | −1.02104 | + | 0.741829i | ||||
\(483\) | −16.4164 | −0.746972 | ||||||||
\(484\) | −4.90983 | − | 4.70228i | −0.223174 | − | 0.213740i | ||||
\(485\) | −5.74265 | −0.260760 | ||||||||
\(486\) | −1.30902 | + | 0.951057i | −0.0593782 | + | 0.0431408i | ||||
\(487\) | 12.1074 | + | 37.2627i | 0.548638 | + | 1.68853i | 0.712179 | + | 0.701998i | \(0.247709\pi\) |
−0.163540 | + | 0.986537i | \(0.552291\pi\) | |||||||
\(488\) | −0.791796 | + | 2.43690i | −0.0358429 | + | 0.110313i | ||||
\(489\) | 12.3541 | + | 8.97578i | 0.558672 | + | 0.405899i | ||||
\(490\) | 1.00000 | + | 0.726543i | 0.0451754 | + | 0.0328218i | ||||
\(491\) | −8.10081 | + | 24.9317i | −0.365585 | + | 1.12515i | 0.584030 | + | 0.811732i | \(0.301475\pi\) |
−0.949614 | + | 0.313421i | \(0.898525\pi\) | |||||||
\(492\) | 1.13525 | + | 3.49396i | 0.0511812 | + | 0.157520i | ||||
\(493\) | −2.23607 | + | 1.62460i | −0.100707 | + | 0.0731682i | ||||
\(494\) | −8.61803 | −0.387744 | ||||||||
\(495\) | −1.07295 | + | 0.673542i | −0.0482255 | + | 0.0302735i | ||||
\(496\) | 18.7082 | 0.840023 | ||||||||
\(497\) | −35.3435 | + | 25.6785i | −1.58537 | + | 1.15184i | ||||
\(498\) | −6.35410 | − | 19.5559i | −0.284734 | − | 0.876322i | ||||
\(499\) | 0.791796 | − | 2.43690i | 0.0354457 | − | 0.109091i | −0.931768 | − | 0.363054i | \(-0.881734\pi\) |
0.967214 | + | 0.253963i | \(0.0817342\pi\) | |||||||
\(500\) | −1.88197 | − | 1.36733i | −0.0841641 | − | 0.0611488i | ||||
\(501\) | 15.3992 | + | 11.1882i | 0.687985 | + | 0.499850i | ||||
\(502\) | 8.39919 | − | 25.8500i | 0.374874 | − | 1.15374i | ||||
\(503\) | −9.29180 | − | 28.5972i | −0.414301 | − | 1.27509i | −0.912875 | − | 0.408239i | \(-0.866143\pi\) |
0.498574 | − | 0.866847i | \(-0.333857\pi\) | |||||||
\(504\) | 5.42705 | − | 3.94298i | 0.241740 | − | 0.175634i | ||||
\(505\) | 1.14590 | 0.0509918 | ||||||||
\(506\) | 10.9443 | − | 27.2501i | 0.486532 | − | 1.21142i | ||||
\(507\) | 25.8885 | 1.14975 | ||||||||
\(508\) | −4.85410 | + | 3.52671i | −0.215366 | + | 0.156473i | ||||
\(509\) | 6.60739 | + | 20.3355i | 0.292867 | + | 0.901353i | 0.983929 | + | 0.178558i | \(0.0571432\pi\) |
−0.691062 | + | 0.722796i | \(0.742857\pi\) | |||||||
\(510\) | 0.118034 | − | 0.363271i | 0.00522663 | − | 0.0160859i | ||||
\(511\) | −3.00000 | − | 2.17963i | −0.132712 | − | 0.0964210i | ||||
\(512\) | 4.28115 | + | 3.11044i | 0.189202 | + | 0.137463i | ||||
\(513\) | −0.263932 | + | 0.812299i | −0.0116529 | + | 0.0358639i | ||||
\(514\) | −13.6631 | − | 42.0508i | −0.602654 | − | 1.85478i | ||||
\(515\) | −1.85410 | + | 1.34708i | −0.0817015 | + | 0.0593596i | ||||
\(516\) | 1.09017 | 0.0479921 | ||||||||
\(517\) | −1.57295 | − | 1.31433i | −0.0691782 | − | 0.0578041i | ||||
\(518\) | −20.5623 | −0.903456 | ||||||||
\(519\) | −14.2533 | + | 10.3556i | −0.625650 | + | 0.454561i | ||||
\(520\) | 1.64590 | + | 5.06555i | 0.0721774 | + | 0.222139i | ||||
\(521\) | 12.0000 | − | 36.9322i | 0.525730 | − | 1.61803i | −0.237139 | − | 0.971476i | \(-0.576210\pi\) |
0.762869 | − | 0.646553i | \(-0.223790\pi\) | |||||||
\(522\) | 5.85410 | + | 4.25325i | 0.256227 | + | 0.186160i | ||||
\(523\) | −28.2984 | − | 20.5600i | −1.23740 | − | 0.899025i | −0.239979 | − | 0.970778i | \(-0.577141\pi\) |
−0.997422 | + | 0.0717533i | \(0.977141\pi\) | |||||||
\(524\) | −2.64590 | + | 8.14324i | −0.115587 | + | 0.355739i | ||||
\(525\) | −4.50000 | − | 13.8496i | −0.196396 | − | 0.604445i | ||||
\(526\) | 0.881966 | − | 0.640786i | 0.0384555 | − | 0.0279396i | ||||
\(527\) | 2.38197 | 0.103760 | ||||||||
\(528\) | 3.92705 | + | 15.6129i | 0.170903 | + | 0.679466i | ||||
\(529\) | 6.94427 | 0.301925 | ||||||||
\(530\) | −3.69098 | + | 2.68166i | −0.160326 | + | 0.116484i | ||||
\(531\) | −1.64590 | − | 5.06555i | −0.0714259 | − | 0.219826i | ||||
\(532\) | −0.489357 | + | 1.50609i | −0.0212163 | + | 0.0652971i | ||||
\(533\) | −29.9894 | − | 21.7885i | −1.29898 | − | 0.943767i | ||||
\(534\) | −12.3992 | − | 9.00854i | −0.536565 | − | 0.389838i | ||||
\(535\) | −0.0278640 | + | 0.0857567i | −0.00120467 | + | 0.00370759i | ||||
\(536\) | −7.29837 | − | 22.4621i | −0.315242 | − | 0.970214i | ||||
\(537\) | −1.80902 | + | 1.31433i | −0.0780648 | + | 0.0567174i | ||||
\(538\) | 39.5967 | 1.70714 | ||||||||
\(539\) | −6.61803 | − | 0.449028i | −0.285059 | − | 0.0193410i | ||||
\(540\) | −0.236068 | −0.0101587 | ||||||||
\(541\) | 0.454915 | − | 0.330515i | 0.0195583 | − | 0.0142100i | −0.577963 | − | 0.816063i | \(-0.696152\pi\) |
0.597521 | + | 0.801853i | \(0.296152\pi\) | |||||||
\(542\) | 3.13525 | + | 9.64932i | 0.134671 | + | 0.414474i | ||||
\(543\) | −2.63525 | + | 8.11048i | −0.113090 | + | 0.348054i | ||||
\(544\) | −1.69098 | − | 1.22857i | −0.0725003 | − | 0.0526745i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 9.35410 | − | 28.7890i | 0.400319 | − | 1.23205i | ||||
\(547\) | 5.98936 | + | 18.4333i | 0.256086 | + | 0.788153i | 0.993614 | + | 0.112836i | \(0.0359933\pi\) |
−0.737527 | + | 0.675317i | \(0.764007\pi\) | |||||||
\(548\) | 0.736068 | − | 0.534785i | 0.0314433 | − | 0.0228449i | ||||
\(549\) | 1.14590 | 0.0489057 | ||||||||
\(550\) | 25.9894 | + | 1.76336i | 1.10819 | + | 0.0751897i | ||||
\(551\) | 3.81966 | 0.162723 | ||||||||
\(552\) | −9.89919 | + | 7.19218i | −0.421337 | + | 0.306120i | ||||
\(553\) | 0.489357 | + | 1.50609i | 0.0208096 | + | 0.0640453i | ||||
\(554\) | 5.21885 | − | 16.0620i | 0.221728 | − | 0.682407i | ||||
\(555\) | −1.30902 | − | 0.951057i | −0.0555647 | − | 0.0403701i | ||||
\(556\) | −2.92705 | − | 2.12663i | −0.124135 | − | 0.0901891i | ||||
\(557\) | 8.06231 | − | 24.8132i | 0.341611 | − | 1.05137i | −0.621762 | − | 0.783206i | \(-0.713583\pi\) |
0.963373 | − | 0.268164i | \(-0.0864170\pi\) | |||||||
\(558\) | −1.92705 | − | 5.93085i | −0.0815786 | − | 0.251073i | ||||
\(559\) | −8.89919 | + | 6.46564i | −0.376396 | + | 0.273467i | ||||
\(560\) | 5.56231 | 0.235050 | ||||||||
\(561\) | 0.500000 | + | 1.98787i | 0.0211100 | + | 0.0839279i | ||||
\(562\) | −8.47214 | −0.357375 | ||||||||
\(563\) | −21.7533 | + | 15.8047i | −0.916792 | + | 0.666088i | −0.942723 | − | 0.333575i | \(-0.891745\pi\) |
0.0259316 | + | 0.999664i | \(0.491745\pi\) | |||||||
\(564\) | −0.118034 | − | 0.363271i | −0.00497013 | − | 0.0152965i | ||||
\(565\) | 1.50000 | − | 4.61653i | 0.0631055 | − | 0.194219i | ||||
\(566\) | 29.0344 | + | 21.0948i | 1.22041 | + | 0.886679i | ||||
\(567\) | −2.42705 | − | 1.76336i | −0.101927 | − | 0.0740540i | ||||
\(568\) | −10.0623 | + | 30.9686i | −0.422205 | + | 1.29941i | ||||
\(569\) | 10.5279 | + | 32.4014i | 0.441351 | + | 1.35834i | 0.886436 | + | 0.462851i | \(0.153173\pi\) |
−0.445085 | + | 0.895488i | \(0.646827\pi\) | |||||||
\(570\) | −0.427051 | + | 0.310271i | −0.0178872 | + | 0.0129958i | ||||
\(571\) | −25.6869 | −1.07496 | −0.537482 | − | 0.843275i | \(-0.680624\pi\) | ||||
−0.537482 | + | 0.843275i | \(0.680624\pi\) | |||||||
\(572\) | 9.80902 | + | 8.19624i | 0.410136 | + | 0.342702i | ||||
\(573\) | 1.47214 | 0.0614994 | ||||||||
\(574\) | −23.3435 | + | 16.9600i | −0.974337 | + | 0.707897i | ||||
\(575\) | 8.20820 | + | 25.2623i | 0.342306 | + | 1.05351i | ||||
\(576\) | 1.30902 | − | 4.02874i | 0.0545424 | − | 0.167864i | ||||
\(577\) | −12.3262 | − | 8.95554i | −0.513148 | − | 0.372824i | 0.300868 | − | 0.953666i | \(-0.402723\pi\) |
−0.814016 | + | 0.580842i | \(0.802723\pi\) | |||||||
\(578\) | 21.7533 | + | 15.8047i | 0.904818 | + | 0.657388i | ||||
\(579\) | 0.482779 | − | 1.48584i | 0.0200636 | − | 0.0617495i | ||||
\(580\) | 0.326238 | + | 1.00406i | 0.0135463 | + | 0.0416912i | ||||
\(581\) | 30.8435 | − | 22.4091i | 1.27960 | − | 0.929685i | ||||
\(582\) | 24.3262 | 1.00836 | ||||||||
\(583\) | 9.12461 | − | 22.7194i | 0.377903 | − | 0.940940i | ||||
\(584\) | −2.76393 | −0.114372 | ||||||||
\(585\) | 1.92705 | − | 1.40008i | 0.0796738 | − | 0.0578864i | ||||
\(586\) | 8.97214 | + | 27.6134i | 0.370636 | + | 1.14070i | ||||
\(587\) | 7.51064 | − | 23.1154i | 0.309997 | − | 0.954074i | −0.667767 | − | 0.744370i | \(-0.732750\pi\) |
0.977765 | − | 0.209704i | \(-0.0672500\pi\) | |||||||
\(588\) | −1.00000 | − | 0.726543i | −0.0412393 | − | 0.0299621i | ||||
\(589\) | −2.66312 | − | 1.93487i | −0.109732 | − | 0.0797249i | ||||
\(590\) | 1.01722 | − | 3.13068i | 0.0418783 | − | 0.128888i | ||||
\(591\) | 8.22542 | + | 25.3153i | 0.338349 | + | 1.04133i | ||||
\(592\) | −16.6353 | + | 12.0862i | −0.683705 | + | 0.496741i | ||||
\(593\) | −29.2148 | −1.19971 | −0.599854 | − | 0.800110i | \(-0.704775\pi\) | ||||
−0.599854 | + | 0.800110i | \(0.704775\pi\) | |||||||
\(594\) | 4.54508 | − | 2.85317i | 0.186487 | − | 0.117067i | ||||
\(595\) | 0.708204 | 0.0290335 | ||||||||
\(596\) | −7.50000 | + | 5.44907i | −0.307212 | + | 0.223203i | ||||
\(597\) | −1.01722 | − | 3.13068i | −0.0416321 | − | 0.128130i | ||||
\(598\) | −17.0623 | + | 52.5124i | −0.697730 | + | 2.14739i | ||||
\(599\) | 17.5623 | + | 12.7598i | 0.717576 | + | 0.521350i | 0.885609 | − | 0.464432i | \(-0.153741\pi\) |
−0.168033 | + | 0.985781i | \(0.553741\pi\) | |||||||
\(600\) | −8.78115 | − | 6.37988i | −0.358489 | − | 0.260458i | ||||
\(601\) | −6.12868 | + | 18.8621i | −0.249994 | + | 0.769402i | 0.744781 | + | 0.667309i | \(0.232554\pi\) |
−0.994775 | + | 0.102093i | \(0.967446\pi\) | |||||||
\(602\) | 2.64590 | + | 8.14324i | 0.107839 | + | 0.331894i | ||||
\(603\) | −8.54508 | + | 6.20837i | −0.347983 | + | 0.252824i | ||||
\(604\) | 1.23607 | 0.0502949 | ||||||||
\(605\) | 3.70163 | − | 1.98787i | 0.150493 | − | 0.0808184i | ||||
\(606\) | −4.85410 | −0.197184 | ||||||||
\(607\) | 1.88197 | − | 1.36733i | 0.0763866 | − | 0.0554981i | −0.548937 | − | 0.835864i | \(-0.684967\pi\) |
0.625323 | + | 0.780366i | \(0.284967\pi\) | |||||||
\(608\) | 0.892609 | + | 2.74717i | 0.0362001 | + | 0.111412i | ||||
\(609\) | −4.14590 | + | 12.7598i | −0.168000 | + | 0.517052i | ||||
\(610\) | 0.572949 | + | 0.416272i | 0.0231980 | + | 0.0168544i | ||||
\(611\) | 3.11803 | + | 2.26538i | 0.126142 | + | 0.0916476i | ||||
\(612\) | −0.118034 | + | 0.363271i | −0.00477124 | + | 0.0146844i | ||||
\(613\) | 1.03444 | + | 3.18368i | 0.0417807 | + | 0.128588i | 0.969771 | − | 0.244016i | \(-0.0784650\pi\) |
−0.927990 | + | 0.372604i | \(0.878465\pi\) | |||||||
\(614\) | 25.6074 | − | 18.6049i | 1.03343 | − | 0.750831i | ||||
\(615\) | −2.27051 | −0.0915558 | ||||||||
\(616\) | −18.8435 | + | 11.8290i | −0.759225 | + | 0.476602i | ||||
\(617\) | 46.4164 | 1.86865 | 0.934327 | − | 0.356417i | \(-0.116002\pi\) | ||||
0.934327 | + | 0.356417i | \(0.116002\pi\) | |||||||
\(618\) | 7.85410 | − | 5.70634i | 0.315938 | − | 0.229543i | ||||
\(619\) | −9.63525 | − | 29.6543i | −0.387274 | − | 1.19191i | −0.934817 | − | 0.355129i | \(-0.884437\pi\) |
0.547544 | − | 0.836777i | \(-0.315563\pi\) | |||||||
\(620\) | 0.281153 | − | 0.865300i | 0.0112914 | − | 0.0347513i | ||||
\(621\) | 4.42705 | + | 3.21644i | 0.177651 | + | 0.129071i | ||||
\(622\) | −15.0172 | − | 10.9106i | −0.602136 | − | 0.437477i | ||||
\(623\) | 8.78115 | − | 27.0256i | 0.351809 | − | 1.08276i | ||||
\(624\) | −9.35410 | − | 28.7890i | −0.374464 | − | 1.15248i | ||||
\(625\) | −18.4721 | + | 13.4208i | −0.738885 | + | 0.536832i | ||||
\(626\) | −45.0344 | −1.79994 | ||||||||
\(627\) | 1.05573 | − | 2.62866i | 0.0421617 | − | 0.104978i | ||||
\(628\) | 6.00000 | 0.239426 | ||||||||
\(629\) | −2.11803 | + | 1.53884i | −0.0844515 | + | 0.0613576i | ||||
\(630\) | −0.572949 | − | 1.76336i | −0.0228268 | − | 0.0702538i | ||||
\(631\) | 3.93363 | − | 12.1065i | 0.156595 | − | 0.481951i | −0.841724 | − | 0.539908i | \(-0.818459\pi\) |
0.998319 | + | 0.0579577i | \(0.0184589\pi\) | |||||||
\(632\) | 0.954915 | + | 0.693786i | 0.0379845 | + | 0.0275973i | ||||
\(633\) | −9.11803 | − | 6.62464i | −0.362409 | − | 0.263306i | ||||
\(634\) | 12.6803 | − | 39.0261i | 0.503601 | − | 1.54992i | ||||
\(635\) | −1.14590 | − | 3.52671i | −0.0454736 | − | 0.139953i | ||||
\(636\) | 3.69098 | − | 2.68166i | 0.146357 | − | 0.106335i | ||||
\(637\) | 12.4721 | 0.494164 | ||||||||
\(638\) | −18.4164 | − | 15.3884i | −0.729113 | − | 0.609233i | ||||
\(639\) | 14.5623 | 0.576076 | ||||||||
\(640\) | 4.20820 | − | 3.05744i | 0.166344 | − | 0.120856i | ||||
\(641\) | −2.08359 | − | 6.41264i | −0.0822969 | − | 0.253284i | 0.901439 | − | 0.432907i | \(-0.142512\pi\) |
−0.983736 | + | 0.179623i | \(0.942512\pi\) | |||||||
\(642\) | 0.118034 | − | 0.363271i | 0.00465843 | − | 0.0143372i | ||||
\(643\) | 14.9164 | + | 10.8374i | 0.588246 | + | 0.427386i | 0.841687 | − | 0.539965i | \(-0.181563\pi\) |
−0.253442 | + | 0.967351i | \(0.581563\pi\) | |||||||
\(644\) | 8.20820 | + | 5.96361i | 0.323449 | + | 0.234999i | ||||
\(645\) | −0.208204 | + | 0.640786i | −0.00819802 | + | 0.0252309i | ||||
\(646\) | 0.263932 | + | 0.812299i | 0.0103843 | + | 0.0319595i | ||||
\(647\) | −2.59017 | + | 1.88187i | −0.101830 | + | 0.0739839i | −0.637535 | − | 0.770421i | \(-0.720046\pi\) |
0.535705 | + | 0.844405i | \(0.320046\pi\) | |||||||
\(648\) | −2.23607 | −0.0878410 | ||||||||
\(649\) | 4.30902 | + | 17.1315i | 0.169144 | + | 0.672471i | ||||
\(650\) | −48.9787 | −1.92110 | ||||||||
\(651\) | 9.35410 | − | 6.79615i | 0.366616 | − | 0.266362i | ||||
\(652\) | −2.91641 | − | 8.97578i | −0.114215 | − | 0.351519i | ||||
\(653\) | 6.78773 | − | 20.8905i | 0.265624 | − | 0.817508i | −0.725924 | − | 0.687774i | \(-0.758588\pi\) |
0.991549 | − | 0.129734i | \(-0.0414122\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −4.28115 | − | 3.11044i | −0.167278 | − | 0.121535i | ||||
\(656\) | −8.91641 | + | 27.4419i | −0.348127 | + | 1.07143i | ||||
\(657\) | 0.381966 | + | 1.17557i | 0.0149019 | + | 0.0458634i | ||||
\(658\) | 2.42705 | − | 1.76336i | 0.0946163 | − | 0.0687428i | ||||
\(659\) | 20.6525 | 0.804506 | 0.402253 | − | 0.915528i | \(-0.368227\pi\) | ||||
0.402253 | + | 0.915528i | \(0.368227\pi\) | |||||||
\(660\) | 0.781153 | + | 0.0530006i | 0.0304063 | + | 0.00206304i | ||||
\(661\) | −21.0902 | −0.820313 | −0.410156 | − | 0.912015i | \(-0.634526\pi\) | ||||
−0.410156 | + | 0.912015i | \(0.634526\pi\) | |||||||
\(662\) | 29.5795 | − | 21.4908i | 1.14964 | − | 0.835263i | ||||
\(663\) | −1.19098 | − | 3.66547i | −0.0462539 | − | 0.142355i | ||||
\(664\) | 8.78115 | − | 27.0256i | 0.340775 | − | 1.04880i | ||||
\(665\) | −0.791796 | − | 0.575274i | −0.0307045 | − | 0.0223082i | ||||
\(666\) | 5.54508 | + | 4.02874i | 0.214868 | + | 0.156111i | ||||
\(667\) | 7.56231 | − | 23.2744i | 0.292814 | − | 0.901188i | ||||
\(668\) | −3.63525 | − | 11.1882i | −0.140652 | − | 0.432883i | ||||
\(669\) | 10.2812 | − | 7.46969i | 0.397492 | − | 0.288795i | ||||
\(670\) | −6.52786 | −0.252193 | ||||||||
\(671\) | −3.79180 | − | 0.257270i | −0.146381 | − | 0.00993180i | ||||
\(672\) | −10.1459 | −0.391387 | ||||||||
\(673\) | 11.6631 | − | 8.47375i | 0.449580 | − | 0.326639i | −0.339850 | − | 0.940480i | \(-0.610376\pi\) |
0.789430 | + | 0.613841i | \(0.210376\pi\) | |||||||
\(674\) | −6.85410 | − | 21.0948i | −0.264010 | − | 0.812540i | ||||
\(675\) | −1.50000 | + | 4.61653i | −0.0577350 | + | 0.177690i | ||||
\(676\) | −12.9443 | − | 9.40456i | −0.497857 | − | 0.361714i | ||||
\(677\) | −18.1803 | − | 13.2088i | −0.698727 | − | 0.507655i | 0.180790 | − | 0.983522i | \(-0.442134\pi\) |
−0.879517 | + | 0.475867i | \(0.842134\pi\) | |||||||
\(678\) | −6.35410 | + | 19.5559i | −0.244028 | + | 0.751040i | ||||
\(679\) | 13.9377 | + | 42.8958i | 0.534880 | + | 1.64619i | ||||
\(680\) | 0.427051 | − | 0.310271i | 0.0163767 | − | 0.0118983i | ||||
\(681\) | 10.8885 | 0.417250 | ||||||||
\(682\) | 5.04508 | + | 20.0579i | 0.193186 | + | 0.768058i | ||||
\(683\) | −38.8885 | −1.48803 | −0.744014 | − | 0.668164i | \(-0.767081\pi\) | ||||
−0.744014 | + | 0.668164i | \(0.767081\pi\) | |||||||
\(684\) | 0.427051 | − | 0.310271i | 0.0163287 | − | 0.0118635i | ||||
\(685\) | 0.173762 | + | 0.534785i | 0.00663911 | + | 0.0204331i | ||||
\(686\) | −7.50000 | + | 23.0826i | −0.286351 | + | 0.881299i | ||||
\(687\) | −8.09017 | − | 5.87785i | −0.308659 | − | 0.224254i | ||||
\(688\) | 6.92705 | + | 5.03280i | 0.264091 | + | 0.191874i | ||||
\(689\) | −14.2254 | + | 43.7814i | −0.541946 | + | 1.66794i | ||||
\(690\) | 1.04508 | + | 3.21644i | 0.0397857 | + | 0.122448i | ||||
\(691\) | 32.1246 | − | 23.3399i | 1.22208 | − | 0.887892i | 0.225807 | − | 0.974172i | \(-0.427498\pi\) |
0.996271 | + | 0.0862806i | \(0.0274981\pi\) | |||||||
\(692\) | 10.8885 | 0.413920 | ||||||||
\(693\) | 7.63525 | + | 6.37988i | 0.290039 | + | 0.242352i | ||||
\(694\) | −4.94427 | −0.187682 | ||||||||
\(695\) | 1.80902 | − | 1.31433i | 0.0686199 | − | 0.0498553i | ||||
\(696\) | 3.09017 | + | 9.51057i | 0.117133 | + | 0.360497i | ||||
\(697\) | −1.13525 | + | 3.49396i | −0.0430008 | + | 0.132343i | ||||
\(698\) | −39.4336 | − | 28.6502i | −1.49258 | − | 1.08443i | ||||
\(699\) | −7.01722 | − | 5.09831i | −0.265416 | − | 0.192836i | ||||
\(700\) | −2.78115 | + | 8.55951i | −0.105118 | + | 0.323519i | ||||
\(701\) | 15.3541 | + | 47.2551i | 0.579916 | + | 1.78480i | 0.618792 | + | 0.785555i | \(0.287623\pi\) |
−0.0388752 | + | 0.999244i | \(0.512377\pi\) | |||||||
\(702\) | −8.16312 | + | 5.93085i | −0.308097 | + | 0.223846i | ||||
\(703\) | 3.61803 | 0.136457 | ||||||||
\(704\) | −5.23607 | + | 13.0373i | −0.197342 | + | 0.491361i | ||||
\(705\) | 0.236068 | 0.00889083 | ||||||||
\(706\) | 2.00000 | − | 1.45309i | 0.0752710 | − | 0.0546876i | ||||
\(707\) | −2.78115 | − | 8.55951i | −0.104596 | − | 0.321913i | ||||
\(708\) | −1.01722 | + | 3.13068i | −0.0382295 | + | 0.117658i | ||||
\(709\) | −5.06231 | − | 3.67798i | −0.190119 | − | 0.138129i | 0.488654 | − | 0.872478i | \(-0.337488\pi\) |
−0.678773 | + | 0.734348i | \(0.737488\pi\) | |||||||
\(710\) | 7.28115 | + | 5.29007i | 0.273257 | + | 0.198533i | ||||
\(711\) | 0.163119 | − | 0.502029i | 0.00611744 | − | 0.0188275i | ||||
\(712\) | −6.54508 | − | 20.1437i | −0.245287 | − | 0.754917i | ||||
\(713\) | −17.0623 | + | 12.3965i | −0.638988 | + | 0.464252i | ||||
\(714\) | −3.00000 | −0.112272 | ||||||||
\(715\) | −6.69098 | + | 4.20025i | −0.250229 | + | 0.157081i | ||||
\(716\) | 1.38197 | 0.0516465 | ||||||||
\(717\) | 14.2082 | − | 10.3229i | 0.530615 | − | 0.385514i | ||||
\(718\) | −8.61803 | − | 26.5236i | −0.321622 | − | 0.989851i | ||||
\(719\) | −8.78115 | + | 27.0256i | −0.327482 | + | 1.00789i | 0.642826 | + | 0.766012i | \(0.277762\pi\) |
−0.970308 | + | 0.241873i | \(0.922238\pi\) | |||||||
\(720\) | −1.50000 | − | 1.08981i | −0.0559017 | − | 0.0406150i | ||||
\(721\) | 14.5623 | + | 10.5801i | 0.542329 | + | 0.394025i | ||||
\(722\) | −9.13525 | + | 28.1154i | −0.339979 | + | 1.04635i | ||||
\(723\) | 5.29180 | + | 16.2865i | 0.196804 | + | 0.605700i | ||||
\(724\) | 4.26393 | − | 3.09793i | 0.158468 | − | 0.115134i | ||||
\(725\) | 21.7082 | 0.806222 | ||||||||
\(726\) | −15.6803 | + | 8.42075i | −0.581952 | + | 0.312523i | ||||
\(727\) | 32.1459 | 1.19223 | 0.596113 | − | 0.802901i | \(-0.296711\pi\) | ||||
0.596113 | + | 0.802901i | \(0.296711\pi\) | |||||||
\(728\) | 33.8435 | − | 24.5887i | 1.25432 | − | 0.911318i | ||||
\(729\) | 0.309017 | + | 0.951057i | 0.0114451 | + | 0.0352243i | ||||
\(730\) | −0.236068 | + | 0.726543i | −0.00873727 | + | 0.0268905i | ||||
\(731\) | 0.881966 | + | 0.640786i | 0.0326207 | + | 0.0237003i | ||||
\(732\) | −0.572949 | − | 0.416272i | −0.0211768 | − | 0.0153858i | ||||
\(733\) | −7.50658 | + | 23.1029i | −0.277262 | + | 0.853324i | 0.711350 | + | 0.702838i | \(0.248084\pi\) |
−0.988612 | + | 0.150486i | \(0.951916\pi\) | |||||||
\(734\) | −7.28115 | − | 22.4091i | −0.268752 | − | 0.827134i | ||||
\(735\) | 0.618034 | − | 0.449028i | 0.0227965 | − | 0.0165626i | ||||
\(736\) | 18.5066 | 0.682162 | ||||||||
\(737\) | 29.6697 | − | 18.6251i | 1.09290 | − | 0.686064i | ||||
\(738\) | 9.61803 | 0.354045 | ||||||||
\(739\) | 20.2254 | − | 14.6946i | 0.744004 | − | 0.540551i | −0.149958 | − | 0.988692i | \(-0.547914\pi\) |
0.893963 | + | 0.448142i | \(0.147914\pi\) | |||||||
\(740\) | 0.309017 | + | 0.951057i | 0.0113597 | + | 0.0349615i | ||||
\(741\) | −1.64590 | + | 5.06555i | −0.0604636 | + | 0.186088i | ||||
\(742\) | 28.9894 | + | 21.0620i | 1.06423 | + | 0.773210i | ||||
\(743\) | −10.3713 | − | 7.53521i | −0.380487 | − | 0.276440i | 0.381059 | − | 0.924551i | \(-0.375559\pi\) |
−0.761546 | + | 0.648111i | \(0.775559\pi\) | |||||||
\(744\) | 2.66312 | − | 8.19624i | 0.0976347 | − | 0.300489i | ||||
\(745\) | −1.77051 | − | 5.44907i | −0.0648665 | − | 0.199638i | ||||
\(746\) | −29.3435 | + | 21.3193i | −1.07434 | + | 0.780554i | ||||
\(747\) | −12.7082 | −0.464969 | ||||||||
\(748\) | 0.472136 | − | 1.17557i | 0.0172630 | − | 0.0429831i | ||||
\(749\) | 0.708204 | 0.0258772 | ||||||||
\(750\) | −4.92705 | + | 3.57971i | −0.179910 | + | 0.130713i | ||||
\(751\) | −16.3541 | − | 50.3328i | −0.596770 | − | 1.83667i | −0.545713 | − | 0.837972i | \(-0.683741\pi\) |
−0.0510571 | − | 0.998696i | \(-0.516259\pi\) | |||||||
\(752\) | 0.927051 | − | 2.85317i | 0.0338061 | − | 0.104044i | ||||
\(753\) | −13.5902 | − | 9.87384i | −0.495253 | − | 0.359823i | ||||
\(754\) | 36.5066 | + | 26.5236i | 1.32949 | + | 0.965932i | ||||
\(755\) | −0.236068 | + | 0.726543i | −0.00859139 | + | 0.0264416i | ||||
\(756\) | 0.572949 | + | 1.76336i | 0.0208380 | + | 0.0641326i | ||||
\(757\) | 12.8992 | − | 9.37181i | 0.468829 | − | 0.340624i | −0.328156 | − | 0.944624i | \(-0.606427\pi\) |
0.796985 | + | 0.603999i | \(0.206427\pi\) | |||||||
\(758\) | 45.9787 | 1.67002 | ||||||||
\(759\) | −13.9271 | − | 11.6372i | −0.505520 | − | 0.422403i | ||||
\(760\) | −0.729490 | −0.0264614 | ||||||||
\(761\) | −3.95492 | + | 2.87341i | −0.143366 | + | 0.104161i | −0.657156 | − | 0.753754i | \(-0.728241\pi\) |
0.513791 | + | 0.857916i | \(0.328241\pi\) | |||||||
\(762\) | 4.85410 | + | 14.9394i | 0.175846 | + | 0.541197i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −0.736068 | − | 0.534785i | −0.0266300 | − | 0.0193478i | ||||
\(765\) | −0.190983 | − | 0.138757i | −0.00690501 | − | 0.00501678i | ||||
\(766\) | −4.44427 | + | 13.6781i | −0.160578 | + | 0.494208i | ||||
\(767\) | −10.2639 | − | 31.5891i | −0.370609 | − | 1.14062i | ||||
\(768\) | −10.9721 | + | 7.97172i | −0.395923 | + | 0.287655i | ||||
\(769\) | −47.6869 | −1.71963 | −0.859817 | − | 0.510602i | \(-0.829423\pi\) | ||||
−0.859817 | + | 0.510602i | \(0.829423\pi\) | |||||||
\(770\) | 1.50000 | + | 5.96361i | 0.0540562 | + | 0.214914i | ||||
\(771\) | −27.3262 | −0.984130 | ||||||||
\(772\) | −0.781153 | + | 0.567541i | −0.0281143 | + | 0.0204262i | ||||
\(773\) | 15.2188 | + | 46.8388i | 0.547384 | + | 1.68467i | 0.715253 | + | 0.698865i | \(0.246311\pi\) |
−0.167870 | + | 0.985809i | \(0.553689\pi\) | |||||||
\(774\) | 0.881966 | − | 2.71441i | 0.0317016 | − | 0.0975675i | ||||
\(775\) | −15.1353 | − | 10.9964i | −0.543674 | − | 0.395003i | ||||
\(776\) | 27.1976 | + | 19.7602i | 0.976336 | + | 0.709349i | ||||
\(777\) | −3.92705 | + | 12.0862i | −0.140882 | + | 0.433591i | ||||
\(778\) | −4.63525 | − | 14.2658i | −0.166182 | − | 0.511455i | ||||
\(779\) | 4.10739 | − | 2.98419i | 0.147163 | − | 0.106920i | ||||
\(780\) | −1.47214 | −0.0527109 | ||||||||
\(781\) | −48.1869 | − | 3.26944i | −1.72426 | − | 0.116990i | ||||
\(782\) | 5.47214 | 0.195683 | ||||||||
\(783\) | 3.61803 | − | 2.62866i | 0.129298 | − | 0.0939405i | ||||
\(784\) | −3.00000 | − | 9.23305i | −0.107143 | − | 0.329752i | ||||
\(785\) | −1.14590 | + | 3.52671i | −0.0408989 | + | 0.125874i | ||||
\(786\) | 18.1353 | + | 13.1760i | 0.646863 | + | 0.469974i | ||||
\(787\) | 19.1803 | + | 13.9353i | 0.683705 | + | 0.496741i | 0.874585 | − | 0.484873i | \(-0.161134\pi\) |
−0.190880 | + | 0.981613i | \(0.561134\pi\) | |||||||
\(788\) | 5.08359 | − | 15.6457i | 0.181095 | − | 0.557355i | ||||
\(789\) | −0.208204 | − | 0.640786i | −0.00741226 | − | 0.0228126i | ||||
\(790\) | 0.263932 | − | 0.191758i | 0.00939028 | − | 0.00682244i | ||||
\(791\) | −38.1246 | −1.35556 | ||||||||
\(792\) | 7.39919 | + | 0.502029i | 0.262919 | + | 0.0178388i | ||||
\(793\) | 7.14590 | 0.253758 | ||||||||
\(794\) | 33.1074 | − | 24.0539i | 1.17494 | − | 0.853642i | ||||
\(795\) | 0.871323 | + | 2.68166i | 0.0309026 | + | 0.0951085i | ||||
\(796\) | −0.628677 | + | 1.93487i | −0.0222829 | + | 0.0685796i | ||||
\(797\) | −12.3262 | − | 8.95554i | −0.436618 | − | 0.317221i | 0.347672 | − | 0.937616i | \(-0.386972\pi\) |
−0.784290 | + | 0.620395i | \(0.786972\pi\) | |||||||
\(798\) | 3.35410 | + | 2.43690i | 0.118734 | + | 0.0862652i | ||||
\(799\) | 0.118034 | − | 0.363271i | 0.00417574 | − | 0.0128516i | ||||
\(800\) | 5.07295 | + | 15.6129i | 0.179356 | + | 0.552000i | ||||
\(801\) | −7.66312 | + | 5.56758i | −0.270763 | + | 0.196721i | ||||
\(802\) | −24.1246 | −0.851870 | ||||||||
\(803\) | −1.00000 | − | 3.97574i | −0.0352892 | − | 0.140301i | ||||
\(804\) | 6.52786 | 0.230220 | ||||||||
\(805\) | −5.07295 | + | 3.68571i | −0.178798 | + | 0.129904i | ||||
\(806\) | −12.0172 | − | 36.9852i | −0.423289 | − | 1.30275i | ||||
\(807\) | 7.56231 | − | 23.2744i | 0.266206 | − | 0.819297i | ||||
\(808\) | −5.42705 | − | 3.94298i | −0.190923 | − | 0.138714i | ||||
\(809\) | −20.4894 | − | 14.8864i | −0.720367 | − | 0.523378i | 0.166134 | − | 0.986103i | \(-0.446872\pi\) |
−0.886502 | + | 0.462726i | \(0.846872\pi\) | |||||||
\(810\) | −0.190983 | + | 0.587785i | −0.00671046 | + | 0.0206527i | ||||
\(811\) | 14.1353 | + | 43.5038i | 0.496356 | + | 1.52763i | 0.814833 | + | 0.579696i | \(0.196829\pi\) |
−0.318477 | + | 0.947931i | \(0.603171\pi\) | |||||||
\(812\) | 6.70820 | − | 4.87380i | 0.235412 | − | 0.171037i | ||||
\(813\) | 6.27051 | 0.219916 | ||||||||
\(814\) | −17.4443 | − | 14.5761i | −0.611421 | − | 0.510893i | ||||
\(815\) | 5.83282 | 0.204315 | ||||||||
\(816\) | −2.42705 | + | 1.76336i | −0.0849638 | + | 0.0617298i | ||||
\(817\) | −0.465558 | − | 1.43284i | −0.0162878 | − | 0.0501287i | ||||
\(818\) | −14.4721 | + | 44.5407i | −0.506006 | + | 1.55733i | ||||
\(819\) | −15.1353 | − | 10.9964i | −0.528869 | − | 0.384246i | ||||
\(820\) | 1.13525 | + | 0.824811i | 0.0396448 | + | 0.0288036i | ||||
\(821\) | 4.19756 | − | 12.9188i | 0.146496 | − | 0.450868i | −0.850704 | − | 0.525644i | \(-0.823824\pi\) |
0.997200 | + | 0.0747763i | \(0.0238243\pi\) | |||||||
\(822\) | −0.736068 | − | 2.26538i | −0.0256733 | − | 0.0790144i | ||||
\(823\) | 21.4615 | − | 15.5927i | 0.748101 | − | 0.543527i | −0.147137 | − | 0.989116i | \(-0.547006\pi\) |
0.895238 | + | 0.445589i | \(0.147006\pi\) | |||||||
\(824\) | 13.4164 | 0.467383 | ||||||||
\(825\) | 6.00000 | − | 14.9394i | 0.208893 | − | 0.520123i | ||||
\(826\) | −25.8541 | −0.899579 | ||||||||
\(827\) | −10.4164 | + | 7.56796i | −0.362214 | + | 0.263164i | −0.753975 | − | 0.656903i | \(-0.771866\pi\) |
0.391761 | + | 0.920067i | \(0.371866\pi\) | |||||||
\(828\) | −1.04508 | − | 3.21644i | −0.0363192 | − | 0.111779i | ||||
\(829\) | −13.1910 | + | 40.5977i | −0.458142 | + | 1.41002i | 0.409265 | + | 0.912416i | \(0.365785\pi\) |
−0.867407 | + | 0.497600i | \(0.834215\pi\) | |||||||
\(830\) | −6.35410 | − | 4.61653i | −0.220554 | − | 0.160242i | ||||
\(831\) | −8.44427 | − | 6.13512i | −0.292929 | − | 0.212825i | ||||
\(832\) | 8.16312 | − | 25.1235i | 0.283005 | − | 0.871001i | ||||
\(833\) | −0.381966 | − | 1.17557i | −0.0132343 | − | 0.0407311i | ||||
\(834\) | −7.66312 | + | 5.56758i | −0.265352 | + | 0.192790i | ||||
\(835\) | 7.27051 | 0.251606 | ||||||||
\(836\) | −1.48278 | + | 0.930812i | −0.0512830 | + | 0.0321928i | ||||
\(837\) | −3.85410 | −0.133217 | ||||||||
\(838\) | 28.1525 | − | 20.4540i | 0.972511 | − | 0.706571i | ||||
\(839\) | −7.19756 | − | 22.1518i | −0.248487 | − | 0.764766i | −0.995043 | − | 0.0994428i | \(-0.968294\pi\) |
0.746556 | − | 0.665323i | \(-0.231706\pi\) | |||||||
\(840\) | 0.791796 | − | 2.43690i | 0.0273196 | − | 0.0840810i | ||||
\(841\) | 7.28115 | + | 5.29007i | 0.251074 | + | 0.182416i | ||||
\(842\) | 4.88197 | + | 3.54696i | 0.168244 | + | 0.122236i | ||||
\(843\) | −1.61803 | + | 4.97980i | −0.0557281 | + | 0.171513i | ||||
\(844\) | 2.15248 | + | 6.62464i | 0.0740913 | + | 0.228029i | ||||
\(845\) | 8.00000 | − | 5.81234i | 0.275208 | − | 0.199951i | ||||
\(846\) | −1.00000 | −0.0343807 | ||||||||
\(847\) | −23.8328 | − | 22.8254i | −0.818905 | − | 0.784289i | ||||
\(848\) | 35.8328 | 1.23050 | ||||||||
\(849\) | 17.9443 | − | 13.0373i | 0.615846 | − | 0.447438i | ||||
\(850\) | 1.50000 | + | 4.61653i | 0.0514496 | + | 0.158346i | ||||
\(851\) | 7.16312 | − | 22.0458i | 0.245549 | − | 0.755721i | ||||
\(852\) | −7.28115 | − | 5.29007i | −0.249448 | − | 0.181235i | ||||
\(853\) | −6.42705 | − | 4.66953i | −0.220058 | − | 0.159882i | 0.472295 | − | 0.881441i | \(-0.343426\pi\) |
−0.692353 | + | 0.721559i | \(0.743426\pi\) | |||||||
\(854\) | 1.71885 | − | 5.29007i | 0.0588177 | − | 0.181022i | ||||
\(855\) | 0.100813 | + | 0.310271i | 0.00344773 | + | 0.0106110i | ||||
\(856\) | 0.427051 | − | 0.310271i | 0.0145963 | − | 0.0106048i | ||||
\(857\) | −41.7214 | −1.42517 | −0.712587 | − | 0.701584i | \(-0.752477\pi\) | ||||
−0.712587 | + | 0.701584i | \(0.752477\pi\) | |||||||
\(858\) | 28.3435 | − | 17.7926i | 0.967630 | − | 0.607428i | ||||
\(859\) | 42.8885 | 1.46334 | 0.731669 | − | 0.681660i | \(-0.238742\pi\) | ||||
0.731669 | + | 0.681660i | \(0.238742\pi\) | |||||||
\(860\) | 0.336881 | − | 0.244758i | 0.0114875 | − | 0.00834619i | ||||
\(861\) | 5.51064 | + | 16.9600i | 0.187802 | + | 0.577996i | ||||
\(862\) | −0.746711 | + | 2.29814i | −0.0254331 | + | 0.0782750i | ||||
\(863\) | 19.3262 | + | 14.0413i | 0.657873 | + | 0.477973i | 0.865944 | − | 0.500141i | \(-0.166719\pi\) |
−0.208071 | + | 0.978114i | \(0.566719\pi\) | |||||||
\(864\) | 2.73607 | + | 1.98787i | 0.0930829 | + | 0.0676287i | ||||
\(865\) | −2.07953 | + | 6.40013i | −0.0707060 | + | 0.217611i | ||||
\(866\) | −3.00000 | − | 9.23305i | −0.101944 | − | 0.313752i | ||||
\(867\) | 13.4443 | − | 9.76784i | 0.456591 | − | 0.331733i | ||||
\(868\) | −7.14590 | −0.242548 | ||||||||
\(869\) | −0.652476 | + | 1.62460i | −0.0221337 | + | 0.0551107i | ||||
\(870\) | 2.76393 | 0.0937061 | ||||||||
\(871\) | −53.2877 | + | 38.7158i | −1.80559 | + | 1.31183i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 4.64590 | − | 14.2986i | 0.157240 | − | 0.483934i | ||||
\(874\) | −6.11803 | − | 4.44501i | −0.206946 | − | 0.150355i | ||||
\(875\) | −9.13525 | − | 6.63715i | −0.308828 | − | 0.224377i | ||||
\(876\) | 0.236068 | − | 0.726543i | 0.00797600 | − | 0.0245476i | ||||
\(877\) | −6.30902 | − | 19.4172i | −0.213040 | − | 0.655671i | −0.999287 | − | 0.0377579i | \(-0.987978\pi\) |
0.786247 | − | 0.617913i | \(-0.212022\pi\) | |||||||
\(878\) | −21.8713 | + | 15.8904i | −0.738121 | + | 0.536277i | ||||
\(879\) | 17.9443 | 0.605245 | ||||||||
\(880\) | 4.71885 | + | 3.94298i | 0.159072 | + | 0.132918i | ||||
\(881\) | 25.0902 | 0.845309 | 0.422655 | − | 0.906291i | \(-0.361098\pi\) | ||||
0.422655 | + | 0.906291i | \(0.361098\pi\) | |||||||
\(882\) | −2.61803 | + | 1.90211i | −0.0881538 | + | 0.0640475i | ||||
\(883\) | 11.5623 | + | 35.5851i | 0.389103 | + | 1.19753i | 0.933460 | + | 0.358681i | \(0.116774\pi\) |
−0.544358 | + | 0.838853i | \(0.683226\pi\) | |||||||
\(884\) | −0.736068 | + | 2.26538i | −0.0247566 | + | 0.0761931i | ||||
\(885\) | −1.64590 | − | 1.19581i | −0.0553263 | − | 0.0401969i | ||||
\(886\) | 1.14590 | + | 0.832544i | 0.0384972 | + | 0.0279699i | ||||
\(887\) | 0.927051 | − | 2.85317i | 0.0311273 | − | 0.0958001i | −0.934286 | − | 0.356525i | \(-0.883962\pi\) |
0.965413 | + | 0.260725i | \(0.0839615\pi\) | |||||||
\(888\) | 2.92705 | + | 9.00854i | 0.0982254 | + | 0.302307i | ||||
\(889\) | −23.5623 | + | 17.1190i | −0.790254 | + | 0.574153i | ||||
\(890\) | −5.85410 | −0.196230 | ||||||||
\(891\) | −0.809017 | − | 3.21644i | −0.0271031 | − | 0.107755i | ||||
\(892\) | −7.85410 | −0.262975 | ||||||||
\(893\) | −0.427051 | + | 0.310271i | −0.0142907 | + | 0.0103828i | ||||
\(894\) | 7.50000 | + | 23.0826i | 0.250838 | + | 0.771999i | ||||
\(895\) | −0.263932 | + | 0.812299i | −0.00882227 | + | 0.0271522i | ||||
\(896\) | −33.0517 | − | 24.0134i | −1.10418 | − | 0.802233i | ||||
\(897\) | 27.6074 | + | 20.0579i | 0.921784 | + | 0.669715i | ||||
\(898\) | −7.76393 | + | 23.8949i | −0.259086 | + | 0.797384i | ||||
\(899\) | 5.32624 | + | 16.3925i | 0.177640 | + | 0.546720i | ||||
\(900\) | 2.42705 | − | 1.76336i | 0.0809017 | − | 0.0587785i | ||||
\(901\) | 4.56231 | 0.151992 | ||||||||
\(902\) | −31.8262 | − | 2.15938i | −1.05970 | − | 0.0718996i | ||||
\(903\) | 5.29180 | 0.176100 | ||||||||
\(904\) | −22.9894 | + | 16.7027i | −0.764615 | + | 0.555525i | ||||
\(905\) | 1.00658 | + | 3.09793i | 0.0334598 | + | 0.102979i | ||||
\(906\) | 1.00000 | − | 3.07768i | 0.0332228 | − | 0.102249i | ||||
\(907\) | −3.21885 | − | 2.33863i | −0.106880 | − | 0.0776529i | 0.533061 | − | 0.846077i | \(-0.321041\pi\) |
−0.639942 | + | 0.768424i | \(0.721041\pi\) | |||||||
\(908\) | −5.44427 | − | 3.95550i | −0.180675 | − | 0.131268i | ||||
\(909\) | −0.927051 | + | 2.85317i | −0.0307483 | + | 0.0946337i | ||||
\(910\) | −3.57295 | − | 10.9964i | −0.118442 | − | 0.364527i | ||||
\(911\) | −29.0795 | + | 21.1275i | −0.963448 | + | 0.699986i | −0.953949 | − | 0.299969i | \(-0.903024\pi\) |
−0.00949880 | + | 0.999955i | \(0.503024\pi\) | |||||||
\(912\) | 4.14590 | 0.137284 | ||||||||
\(913\) | 42.0517 | + | 2.85317i | 1.39171 | + | 0.0944261i | ||||
\(914\) | 53.0689 | 1.75536 | ||||||||
\(915\) | 0.354102 | − | 0.257270i | 0.0117062 | − | 0.00850509i | ||||
\(916\) | 1.90983 | + | 5.87785i | 0.0631026 | + | 0.194210i | ||||
\(917\) | −12.8435 | + | 39.5281i | −0.424128 | + | 1.30533i | ||||
\(918\) | 0.809017 | + | 0.587785i | 0.0267015 | + | 0.0193998i | ||||
\(919\) | 37.9894 | + | 27.6009i | 1.25315 | + | 0.910469i | 0.998400 | − | 0.0565371i | \(-0.0180059\pi\) |
0.254753 | + | 0.967006i | \(0.418006\pi\) | |||||||
\(920\) | −1.44427 | + | 4.44501i | −0.0476162 | + | 0.146548i | ||||
\(921\) | −6.04508 | − | 18.6049i | −0.199192 | − | 0.613051i | ||||
\(922\) | 12.9721 | − | 9.42481i | 0.427215 | − | 0.310390i | ||||
\(923\) | 90.8115 | 2.98910 | ||||||||
\(924\) | −1.50000 | − | 5.96361i | −0.0493464 | − | 0.196188i | ||||
\(925\) | 20.5623 | 0.676084 | ||||||||
\(926\) | −11.5172 | + | 8.36775i | −0.378479 | + | 0.274981i | ||||
\(927\) | −1.85410 | − | 5.70634i | −0.0608967 | − | 0.187421i | ||||
\(928\) | 4.67376 | − | 14.3844i | 0.153424 | − | 0.472190i | ||||
\(929\) | −2.33688 | − | 1.69784i | −0.0766706 | − | 0.0557044i | 0.548790 | − | 0.835960i | \(-0.315089\pi\) |
−0.625460 | + | 0.780256i | \(0.715089\pi\) | |||||||
\(930\) | −1.92705 | − | 1.40008i | −0.0631905 | − | 0.0459106i | ||||
\(931\) | −0.527864 | + | 1.62460i | −0.0173000 | + | 0.0532441i | ||||
\(932\) | 1.65654 | + | 5.09831i | 0.0542618 | + | 0.167001i | ||||
\(933\) | −9.28115 | + | 6.74315i | −0.303851 | + | 0.220761i | ||||
\(934\) | −23.0344 | −0.753710 | ||||||||
\(935\) | 0.600813 | + | 0.502029i | 0.0196487 | + | 0.0164181i | ||||
\(936\) | −13.9443 | −0.455783 | ||||||||
\(937\) | −26.3713 | + | 19.1599i | −0.861514 | + | 0.625926i | −0.928296 | − | 0.371841i | \(-0.878727\pi\) |
0.0667827 | + | 0.997768i | \(0.478727\pi\) | |||||||
\(938\) | 15.8435 | + | 48.7612i | 0.517307 | + | 1.59211i | ||||
\(939\) | −8.60081 | + | 26.4706i | −0.280677 | + | 0.863835i | ||||
\(940\) | −0.118034 | − | 0.0857567i | −0.00384984 | − | 0.00279708i | ||||
\(941\) | −27.2082 | − | 19.7679i | −0.886962 | − | 0.644416i | 0.0481221 | − | 0.998841i | \(-0.484676\pi\) |
−0.935084 | + | 0.354426i | \(0.884676\pi\) | |||||||
\(942\) | 4.85410 | − | 14.9394i | 0.158155 | − | 0.486752i | ||||
\(943\) | −10.0517 | − | 30.9358i | −0.327327 | − | 1.00741i | ||||
\(944\) | −20.9164 | + | 15.1967i | −0.680771 | + | 0.494609i | ||||
\(945\) | −1.14590 | −0.0372761 | ||||||||
\(946\) | −3.52786 | + | 8.78402i | −0.114701 | + | 0.285593i | ||||
\(947\) | 2.67376 | 0.0868856 | 0.0434428 | − | 0.999056i | \(-0.486167\pi\) | ||||
0.0434428 | + | 0.999056i | \(0.486167\pi\) | |||||||
\(948\) | −0.263932 | + | 0.191758i | −0.00857211 | + | 0.00622801i | ||||
\(949\) | 2.38197 | + | 7.33094i | 0.0773219 | + | 0.237972i | ||||
\(950\) | 2.07295 | − | 6.37988i | 0.0672553 | − | 0.206991i | ||||
\(951\) | −20.5172 | − | 14.9066i | −0.665316 | − | 0.483381i | ||||
\(952\) | −3.35410 | − | 2.43690i | −0.108707 | − | 0.0789803i | ||||
\(953\) | 18.5967 | − | 57.2349i | 0.602408 | − | 1.85402i | 0.0886937 | − | 0.996059i | \(-0.471731\pi\) |
0.513714 | − | 0.857961i | \(-0.328269\pi\) | |||||||
\(954\) | −3.69098 | − | 11.3597i | −0.119500 | − | 0.367783i | ||||
\(955\) | 0.454915 | − | 0.330515i | 0.0147207 | − | 0.0106952i | ||||
\(956\) | −10.8541 | −0.351047 | ||||||||
\(957\) | −12.5623 | + | 7.88597i | −0.406082 | + | 0.254917i | ||||
\(958\) | −27.3607 | −0.883983 | ||||||||
\(959\) | 3.57295 | − | 2.59590i | 0.115377 | − | 0.0838260i | ||||
\(960\) | −0.500000 | − | 1.53884i | −0.0161374 | − | 0.0496659i | ||||
\(961\) | −4.98936 | + | 15.3557i | −0.160947 | + | 0.495344i | ||||
\(962\) | 34.5795 | + | 25.1235i | 1.11489 | + | 0.810014i | ||||
\(963\) | −0.190983 | − | 0.138757i | −0.00615434 | − | 0.00447139i | ||||
\(964\) | 3.27051 | − | 10.0656i | 0.105336 | − | 0.324191i | ||||
\(965\) | −0.184405 | − | 0.567541i | −0.00593621 | − | 0.0182698i | ||||
\(966\) | 21.4894 | − | 15.6129i | 0.691409 | − | 0.502338i | ||||
\(967\) | 25.6869 | 0.826036 | 0.413018 | − | 0.910723i | \(-0.364475\pi\) | ||||
0.413018 | + | 0.910723i | \(0.364475\pi\) | |||||||
\(968\) | −24.3713 | − | 3.32244i | −0.783324 | − | 0.106787i | ||||
\(969\) | 0.527864 | 0.0169574 | ||||||||
\(970\) | 7.51722 | − | 5.46158i | 0.241363 | − | 0.175361i | ||||
\(971\) | −10.4377 | − | 32.1239i | −0.334962 | − | 1.03091i | −0.966741 | − | 0.255757i | \(-0.917675\pi\) |
0.631779 | − | 0.775148i | \(-0.282325\pi\) | |||||||
\(972\) | 0.190983 | − | 0.587785i | 0.00612578 | − | 0.0188532i | ||||
\(973\) | −14.2082 | − | 10.3229i | −0.455494 | − | 0.330936i | ||||
\(974\) | −51.2877 | − | 37.2627i | −1.64336 | − | 1.19397i | ||||
\(975\) | −9.35410 | + | 28.7890i | −0.299571 | + | 0.921985i | ||||
\(976\) | −1.71885 | − | 5.29007i | −0.0550190 | − | 0.169331i | ||||
\(977\) | 39.9336 | − | 29.0135i | 1.27759 | − | 0.928223i | 0.278113 | − | 0.960548i | \(-0.410291\pi\) |
0.999477 | + | 0.0323250i | \(0.0102912\pi\) | |||||||
\(978\) | −24.7082 | −0.790081 | ||||||||
\(979\) | 26.6074 | − | 16.7027i | 0.850376 | − | 0.533822i | ||||
\(980\) | −0.472136 | −0.0150818 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −13.1074 | − | 40.3404i | −0.418274 | − | 1.28731i | ||||
\(983\) | 10.9098 | − | 33.5770i | 0.347970 | − | 1.07094i | −0.612005 | − | 0.790854i | \(-0.709637\pi\) |
0.959975 | − | 0.280086i | \(-0.0903631\pi\) | |||||||
\(984\) | 10.7533 | + | 7.81272i | 0.342802 | + | 0.249060i | ||||
\(985\) | 8.22542 | + | 5.97612i | 0.262084 | + | 0.190415i | ||||
\(986\) | 1.38197 | − | 4.25325i | 0.0440108 | − | 0.135451i | ||||
\(987\) | −0.572949 | − | 1.76336i | −0.0182372 | − | 0.0561282i | ||||
\(988\) | 2.66312 | − | 1.93487i | 0.0847251 | − | 0.0615564i | ||||
\(989\) | −9.65248 | −0.306931 | ||||||||
\(990\) | 0.763932 | − | 1.90211i | 0.0242794 | − | 0.0604531i | ||||
\(991\) | −12.2705 | −0.389786 | −0.194893 | − | 0.980825i | \(-0.562436\pi\) | ||||
−0.194893 | + | 0.980825i | \(0.562436\pi\) | |||||||
\(992\) | −10.5451 | + | 7.66145i | −0.334807 | + | 0.243251i | ||||
\(993\) | −6.98278 | − | 21.4908i | −0.221592 | − | 0.681989i | ||||
\(994\) | 21.8435 | − | 67.2273i | 0.692832 | − | 2.13232i | ||||
\(995\) | −1.01722 | − | 0.739054i | −0.0322481 | − | 0.0234296i | ||||
\(996\) | 6.35410 | + | 4.61653i | 0.201337 | + | 0.146280i | ||||
\(997\) | 10.5000 | − | 32.3157i | 0.332538 | − | 1.02345i | −0.635384 | − | 0.772197i | \(-0.719158\pi\) |
0.967922 | − | 0.251251i | \(-0.0808420\pi\) | |||||||
\(998\) | 1.28115 | + | 3.94298i | 0.0405542 | + | 0.124813i | ||||
\(999\) | 3.42705 | − | 2.48990i | 0.108427 | − | 0.0787769i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))