Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [363,2,Mod(161,363)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(363, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("363.161");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 363 = 3 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 363.f (of order \(10\), degree \(4\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.89856959337\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{10})\) |
Coefficient field: | \(\Q(\zeta_{20})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{6} + x^{4} - x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 33) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 239.2 | ||
Root | \(-0.587785 - 0.809017i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 363.239 |
Dual form | 363.2.f.b.161.2 |
$q$-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 \(\left(\mathbb{Z}/363\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(244\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.951057 | − | 0.690983i | 0.672499 | − | 0.488599i | −0.198362 | − | 0.980129i | \(-0.563562\pi\) |
0.870861 | + | 0.491530i | \(0.163562\pi\) | |||||||
\(3\) | 1.34786 | − | 1.08779i | 0.778187 | − | 0.628033i | ||||
\(4\) | −0.190983 | + | 0.587785i | −0.0954915 | + | 0.293893i | ||||
\(5\) | −0.224514 | + | 0.309017i | −0.100406 | + | 0.138197i | −0.856264 | − | 0.516539i | \(-0.827220\pi\) |
0.755858 | + | 0.654736i | \(0.227220\pi\) | |||||||
\(6\) | 0.530249 | − | 1.96589i | 0.216473 | − | 0.802572i | ||||
\(7\) | 2.92705 | + | 0.951057i | 1.10632 | + | 0.359466i | 0.804532 | − | 0.593909i | \(-0.202416\pi\) |
0.301789 | + | 0.953375i | \(0.402416\pi\) | |||||||
\(8\) | 0.951057 | + | 2.92705i | 0.336249 | + | 1.03487i | ||||
\(9\) | 0.633446 | − | 2.93236i | 0.211149 | − | 0.977454i | ||||
\(10\) | 0.449028i | 0.141995i | ||||||||
\(11\) | 0 | 0 | ||||||||
\(12\) | 0.381966 | + | 1.00000i | 0.110264 | + | 0.288675i | ||||
\(13\) | −0.427051 | − | 0.587785i | −0.118443 | − | 0.163022i | 0.745679 | − | 0.666305i | \(-0.232125\pi\) |
−0.864122 | + | 0.503283i | \(0.832125\pi\) | |||||||
\(14\) | 3.44095 | − | 1.11803i | 0.919634 | − | 0.298807i | ||||
\(15\) | 0.0335310 | + | 0.660734i | 0.00865766 | + | 0.170601i | ||||
\(16\) | 1.92705 | + | 1.40008i | 0.481763 | + | 0.350021i | ||||
\(17\) | −3.44095 | − | 2.50000i | −0.834554 | − | 0.606339i | 0.0862900 | − | 0.996270i | \(-0.472499\pi\) |
−0.920844 | + | 0.389931i | \(0.872499\pi\) | |||||||
\(18\) | −1.42377 | − | 3.22654i | −0.335586 | − | 0.760503i | ||||
\(19\) | −2.50000 | + | 0.812299i | −0.573539 | + | 0.186354i | −0.581404 | − | 0.813615i | \(-0.697496\pi\) |
0.00786490 | + | 0.999969i | \(0.497496\pi\) | |||||||
\(20\) | −0.138757 | − | 0.190983i | −0.0310271 | − | 0.0427051i | ||||
\(21\) | 4.97980 | − | 1.90211i | 1.08668 | − | 0.415075i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | − | 6.23607i | − | 1.30031i | −0.759802 | − | 0.650155i | \(-0.774704\pi\) | ||
0.759802 | − | 0.650155i | \(-0.225296\pi\) | |||||||
\(24\) | 4.46589 | + | 2.91071i | 0.911597 | + | 0.594145i | ||||
\(25\) | 1.50000 | + | 4.61653i | 0.300000 | + | 0.923305i | ||||
\(26\) | −0.812299 | − | 0.263932i | −0.159305 | − | 0.0517613i | ||||
\(27\) | −2.33598 | − | 4.64146i | −0.449560 | − | 0.893250i | ||||
\(28\) | −1.11803 | + | 1.53884i | −0.211289 | + | 0.290814i | ||||
\(29\) | 0.726543 | − | 2.23607i | 0.134916 | − | 0.415227i | −0.860661 | − | 0.509178i | \(-0.829950\pi\) |
0.995577 | + | 0.0939505i | \(0.0299495\pi\) | |||||||
\(30\) | 0.488446 | + | 0.605226i | 0.0891776 | + | 0.110499i | ||||
\(31\) | −4.73607 | + | 3.44095i | −0.850623 | + | 0.618014i | −0.925318 | − | 0.379193i | \(-0.876202\pi\) |
0.0746948 | + | 0.997206i | \(0.476202\pi\) | |||||||
\(32\) | −3.35520 | −0.593121 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −5.00000 | −0.857493 | ||||||||
\(35\) | −0.951057 | + | 0.690983i | −0.160758 | + | 0.116797i | ||||
\(36\) | 1.60262 | + | 0.932362i | 0.267104 | + | 0.155394i | ||||
\(37\) | 0.927051 | − | 2.85317i | 0.152406 | − | 0.469058i | −0.845483 | − | 0.534003i | \(-0.820687\pi\) |
0.997889 | + | 0.0649448i | \(0.0206871\pi\) | |||||||
\(38\) | −1.81636 | + | 2.50000i | −0.294652 | + | 0.405554i | ||||
\(39\) | −1.21499 | − | 0.327712i | −0.194554 | − | 0.0524759i | ||||
\(40\) | −1.11803 | − | 0.363271i | −0.176777 | − | 0.0574382i | ||||
\(41\) | −0.224514 | − | 0.690983i | −0.0350632 | − | 0.107913i | 0.931993 | − | 0.362476i | \(-0.118069\pi\) |
−0.967056 | + | 0.254563i | \(0.918069\pi\) | |||||||
\(42\) | 3.42174 | − | 5.24997i | 0.527986 | − | 0.810088i | ||||
\(43\) | 6.88191i | 1.04948i | 0.851262 | + | 0.524741i | \(0.175838\pi\) | ||||
−0.851262 | + | 0.524741i | \(0.824162\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0.763932 | + | 0.854102i | 0.113880 | + | 0.127322i | ||||
\(46\) | −4.30902 | − | 5.93085i | −0.635330 | − | 0.874457i | ||||
\(47\) | −7.91872 | + | 2.57295i | −1.15506 | + | 0.375303i | −0.823049 | − | 0.567971i | \(-0.807729\pi\) |
−0.332016 | + | 0.943274i | \(0.607729\pi\) | |||||||
\(48\) | 4.12038 | − | 0.209101i | 0.594726 | − | 0.0301812i | ||||
\(49\) | 2.00000 | + | 1.45309i | 0.285714 | + | 0.207584i | ||||
\(50\) | 4.61653 | + | 3.35410i | 0.652875 | + | 0.474342i | ||||
\(51\) | −7.35738 | + | 0.373373i | −1.03024 | + | 0.0522827i | ||||
\(52\) | 0.427051 | − | 0.138757i | 0.0592213 | − | 0.0192422i | ||||
\(53\) | 1.08981 | + | 1.50000i | 0.149697 | + | 0.206041i | 0.877280 | − | 0.479980i | \(-0.159356\pi\) |
−0.727582 | + | 0.686021i | \(0.759356\pi\) | |||||||
\(54\) | −5.42882 | − | 2.80017i | −0.738769 | − | 0.381055i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 9.47214i | 1.26577i | ||||||||
\(57\) | −2.48604 | + | 3.81433i | −0.329284 | + | 0.505220i | ||||
\(58\) | −0.854102 | − | 2.62866i | −0.112149 | − | 0.345159i | ||||
\(59\) | −0.363271 | − | 0.118034i | −0.0472939 | − | 0.0153667i | 0.285275 | − | 0.958446i | \(-0.407915\pi\) |
−0.332568 | + | 0.943079i | \(0.607915\pi\) | |||||||
\(60\) | −0.394774 | − | 0.106480i | −0.0509651 | − | 0.0137465i | ||||
\(61\) | −1.54508 | + | 2.12663i | −0.197828 | + | 0.272287i | −0.896393 | − | 0.443259i | \(-0.853822\pi\) |
0.698566 | + | 0.715546i | \(0.253822\pi\) | |||||||
\(62\) | −2.12663 | + | 6.54508i | −0.270082 | + | 0.831227i | ||||
\(63\) | 4.64297 | − | 7.98073i | 0.584959 | − | 1.00548i | ||||
\(64\) | −7.04508 | + | 5.11855i | −0.880636 | + | 0.639819i | ||||
\(65\) | 0.277515 | 0.0344214 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 7.32624 | 0.895042 | 0.447521 | − | 0.894273i | \(-0.352307\pi\) | ||||
0.447521 | + | 0.894273i | \(0.352307\pi\) | |||||||
\(68\) | 2.12663 | − | 1.54508i | 0.257891 | − | 0.187369i | ||||
\(69\) | −6.78350 | − | 8.40534i | −0.816638 | − | 1.01188i | ||||
\(70\) | −0.427051 | + | 1.31433i | −0.0510424 | + | 0.157092i | ||||
\(71\) | 3.13068 | − | 4.30902i | 0.371544 | − | 0.511386i | −0.581776 | − | 0.813349i | \(-0.697642\pi\) |
0.953320 | + | 0.301963i | \(0.0976419\pi\) | |||||||
\(72\) | 9.18562 | − | 0.934712i | 1.08254 | − | 0.110157i | ||||
\(73\) | 8.94427 | + | 2.90617i | 1.04685 | + | 0.340141i | 0.781431 | − | 0.623992i | \(-0.214490\pi\) |
0.265417 | + | 0.964134i | \(0.414490\pi\) | |||||||
\(74\) | −1.08981 | − | 3.35410i | −0.126688 | − | 0.389906i | ||||
\(75\) | 7.04358 | + | 4.59075i | 0.813322 | + | 0.530094i | ||||
\(76\) | − | 1.62460i | − | 0.186354i | ||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −1.38197 | + | 0.527864i | −0.156477 | + | 0.0597688i | ||||
\(79\) | −2.33688 | − | 3.21644i | −0.262920 | − | 0.361878i | 0.657064 | − | 0.753835i | \(-0.271798\pi\) |
−0.919984 | + | 0.391957i | \(0.871798\pi\) | |||||||
\(80\) | −0.865300 | + | 0.281153i | −0.0967435 | + | 0.0314339i | ||||
\(81\) | −8.19749 | − | 3.71499i | −0.910832 | − | 0.412777i | ||||
\(82\) | −0.690983 | − | 0.502029i | −0.0763063 | − | 0.0554398i | ||||
\(83\) | 5.11855 | + | 3.71885i | 0.561834 | + | 0.408196i | 0.832130 | − | 0.554581i | \(-0.187121\pi\) |
−0.270296 | + | 0.962777i | \(0.587121\pi\) | |||||||
\(84\) | 0.166977 | + | 3.29032i | 0.0182187 | + | 0.359004i | ||||
\(85\) | 1.54508 | − | 0.502029i | 0.167588 | − | 0.0544526i | ||||
\(86\) | 4.75528 | + | 6.54508i | 0.512775 | + | 0.705775i | ||||
\(87\) | −1.45309 | − | 3.80423i | −0.155787 | − | 0.407856i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 0.527864i | 0.0559535i | 0.999609 | + | 0.0279767i | \(0.00890643\pi\) | ||||
−0.999609 | + | 0.0279767i | \(0.991094\pi\) | |||||||
\(90\) | 1.31671 | + | 0.284435i | 0.138794 | + | 0.0299821i | ||||
\(91\) | −0.690983 | − | 2.12663i | −0.0724347 | − | 0.222931i | ||||
\(92\) | 3.66547 | + | 1.19098i | 0.382152 | + | 0.124169i | ||||
\(93\) | −2.64053 | + | 9.78975i | −0.273810 | + | 1.01515i | ||||
\(94\) | −5.75329 | + | 7.91872i | −0.593406 | + | 0.816754i | ||||
\(95\) | 0.310271 | − | 0.954915i | 0.0318331 | − | 0.0979722i | ||||
\(96\) | −4.52233 | + | 3.64973i | −0.461559 | + | 0.372500i | ||||
\(97\) | 3.54508 | − | 2.57565i | 0.359949 | − | 0.261518i | −0.393082 | − | 0.919503i | \(-0.628591\pi\) |
0.753031 | + | 0.657985i | \(0.228591\pi\) | |||||||
\(98\) | 2.90617 | 0.293568 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −3.00000 | −0.300000 | ||||||||
\(101\) | −12.8985 | + | 9.37132i | −1.28345 | + | 0.932481i | −0.999651 | − | 0.0264022i | \(-0.991595\pi\) |
−0.283799 | + | 0.958884i | \(0.591595\pi\) | |||||||
\(102\) | −6.73929 | + | 5.43893i | −0.667290 | + | 0.538534i | ||||
\(103\) | −3.47214 | + | 10.6861i | −0.342120 | + | 1.05294i | 0.620988 | + | 0.783820i | \(0.286732\pi\) |
−0.963108 | + | 0.269116i | \(0.913268\pi\) | |||||||
\(104\) | 1.31433 | − | 1.80902i | 0.128880 | − | 0.177389i | ||||
\(105\) | −0.530249 | + | 1.96589i | −0.0517470 | + | 0.191851i | ||||
\(106\) | 2.07295 | + | 0.673542i | 0.201343 | + | 0.0654202i | ||||
\(107\) | −4.02874 | − | 12.3992i | −0.389473 | − | 1.19867i | −0.933183 | − | 0.359402i | \(-0.882981\pi\) |
0.543710 | − | 0.839273i | \(-0.317019\pi\) | |||||||
\(108\) | 3.17432 | − | 0.486616i | 0.305449 | − | 0.0468247i | ||||
\(109\) | − | 4.70228i | − | 0.450397i | −0.974313 | − | 0.225198i | \(-0.927697\pi\) | ||
0.974313 | − | 0.225198i | \(-0.0723030\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −1.85410 | − | 4.85410i | −0.175984 | − | 0.460731i | ||||
\(112\) | 4.30902 | + | 5.93085i | 0.407164 | + | 0.560413i | ||||
\(113\) | −1.95511 | + | 0.635255i | −0.183922 | + | 0.0597598i | −0.399530 | − | 0.916720i | \(-0.630827\pi\) |
0.215608 | + | 0.976480i | \(0.430827\pi\) | |||||||
\(114\) | 0.271271 | + | 5.34545i | 0.0254069 | + | 0.500647i | ||||
\(115\) | 1.92705 | + | 1.40008i | 0.179698 | + | 0.130559i | ||||
\(116\) | 1.17557 | + | 0.854102i | 0.109149 | + | 0.0793014i | ||||
\(117\) | −1.99411 | + | 0.879937i | −0.184356 | + | 0.0813502i | ||||
\(118\) | −0.427051 | + | 0.138757i | −0.0393132 | + | 0.0127736i | ||||
\(119\) | −7.69421 | − | 10.5902i | −0.705327 | − | 0.970799i | ||||
\(120\) | −1.90211 | + | 0.726543i | −0.173638 | + | 0.0663240i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | 3.09017i | 0.279771i | ||||||||
\(123\) | −1.05425 | − | 0.687124i | −0.0950589 | − | 0.0619559i | ||||
\(124\) | −1.11803 | − | 3.44095i | −0.100402 | − | 0.309007i | ||||
\(125\) | −3.57971 | − | 1.16312i | −0.320179 | − | 0.104033i | ||||
\(126\) | −1.09882 | − | 10.7983i | −0.0978906 | − | 0.961992i | ||||
\(127\) | 7.56231 | − | 10.4086i | 0.671046 | − | 0.923616i | −0.328737 | − | 0.944421i | \(-0.606623\pi\) |
0.999784 | + | 0.0208056i | \(0.00662311\pi\) | |||||||
\(128\) | −1.08981 | + | 3.35410i | −0.0963268 | + | 0.296464i | ||||
\(129\) | 7.48604 | + | 9.27584i | 0.659109 | + | 0.816692i | ||||
\(130\) | 0.263932 | − | 0.191758i | 0.0231484 | − | 0.0168183i | ||||
\(131\) | 10.4086 | 0.909405 | 0.454703 | − | 0.890643i | \(-0.349746\pi\) | ||||
0.454703 | + | 0.890643i | \(0.349746\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −8.09017 | −0.701507 | ||||||||
\(134\) | 6.96767 | − | 5.06231i | 0.601915 | − | 0.437317i | ||||
\(135\) | 1.95875 | + | 0.320215i | 0.168583 | + | 0.0275597i | ||||
\(136\) | 4.04508 | − | 12.4495i | 0.346863 | − | 1.06754i | ||||
\(137\) | −2.76741 | + | 3.80902i | −0.236436 | + | 0.325426i | −0.910703 | − | 0.413061i | \(-0.864460\pi\) |
0.674267 | + | 0.738487i | \(0.264460\pi\) | |||||||
\(138\) | −12.2594 | − | 3.30667i | −1.04359 | − | 0.281482i | ||||
\(139\) | −13.5172 | − | 4.39201i | −1.14652 | − | 0.372526i | −0.326686 | − | 0.945133i | \(-0.605932\pi\) |
−0.819830 | + | 0.572607i | \(0.805932\pi\) | |||||||
\(140\) | −0.224514 | − | 0.690983i | −0.0189749 | − | 0.0583987i | ||||
\(141\) | −7.87450 | + | 12.0818i | −0.663153 | + | 1.01747i | ||||
\(142\) | − | 6.26137i | − | 0.525442i | ||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 5.32624 | − | 4.76393i | 0.443853 | − | 0.396994i | ||||
\(145\) | 0.527864 | + | 0.726543i | 0.0438367 | + | 0.0603361i | ||||
\(146\) | 10.5146 | − | 3.41641i | 0.870196 | − | 0.282744i | ||||
\(147\) | 4.27636 | − | 0.217017i | 0.352708 | − | 0.0178993i | ||||
\(148\) | 1.50000 | + | 1.08981i | 0.123299 | + | 0.0895821i | ||||
\(149\) | −10.5474 | − | 7.66312i | −0.864075 | − | 0.627787i | 0.0649156 | − | 0.997891i | \(-0.479322\pi\) |
−0.928990 | + | 0.370104i | \(0.879322\pi\) | |||||||
\(150\) | 9.87097 | − | 0.500932i | 0.805961 | − | 0.0409010i | ||||
\(151\) | −5.32624 | + | 1.73060i | −0.433443 | + | 0.140834i | −0.517608 | − | 0.855618i | \(-0.673178\pi\) |
0.0841654 | + | 0.996452i | \(0.473178\pi\) | |||||||
\(152\) | −4.75528 | − | 6.54508i | −0.385704 | − | 0.530876i | ||||
\(153\) | −9.51057 | + | 8.50651i | −0.768884 | + | 0.687710i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | − | 2.23607i | − | 0.179605i | ||||||
\(156\) | 0.424666 | − | 0.651565i | 0.0340005 | − | 0.0521669i | ||||
\(157\) | 3.00000 | + | 9.23305i | 0.239426 | + | 0.736878i | 0.996503 | + | 0.0835524i | \(0.0266266\pi\) |
−0.757077 | + | 0.653325i | \(0.773373\pi\) | |||||||
\(158\) | −4.44501 | − | 1.44427i | −0.353626 | − | 0.114900i | ||||
\(159\) | 3.10059 | + | 0.836305i | 0.245893 | + | 0.0663233i | ||||
\(160\) | 0.753289 | − | 1.03681i | 0.0595527 | − | 0.0819673i | ||||
\(161\) | 5.93085 | − | 18.2533i | 0.467417 | − | 1.43856i | ||||
\(162\) | −10.3633 | + | 2.13116i | −0.814215 | + | 0.167440i | ||||
\(163\) | 11.8262 | − | 8.59226i | 0.926302 | − | 0.672998i | −0.0187823 | − | 0.999824i | \(-0.505979\pi\) |
0.945085 | + | 0.326825i | \(0.105979\pi\) | |||||||
\(164\) | 0.449028 | 0.0350632 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 7.43769 | 0.577277 | ||||||||
\(167\) | 17.0660 | − | 12.3992i | 1.32061 | − | 0.959478i | 0.320684 | − | 0.947186i | \(-0.396087\pi\) |
0.999924 | − | 0.0122915i | \(-0.00391261\pi\) | |||||||
\(168\) | 10.3036 | + | 12.7671i | 0.794944 | + | 0.985003i | ||||
\(169\) | 3.85410 | − | 11.8617i | 0.296469 | − | 0.912439i | ||||
\(170\) | 1.12257 | − | 1.54508i | 0.0860972 | − | 0.118503i | ||||
\(171\) | 0.798339 | + | 7.84545i | 0.0610505 | + | 0.599957i | ||||
\(172\) | −4.04508 | − | 1.31433i | −0.308435 | − | 0.100217i | ||||
\(173\) | 7.13918 | + | 21.9721i | 0.542782 | + | 1.67051i | 0.726206 | + | 0.687477i | \(0.241282\pi\) |
−0.183425 | + | 0.983034i | \(0.558718\pi\) | |||||||
\(174\) | −4.01062 | − | 2.61398i | −0.304044 | − | 0.198165i | ||||
\(175\) | 14.9394i | 1.12931i | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −0.618034 | + | 0.236068i | −0.0464543 | + | 0.0177440i | ||||
\(178\) | 0.364745 | + | 0.502029i | 0.0273388 | + | 0.0376286i | ||||
\(179\) | 13.2618 | − | 4.30902i | 0.991233 | − | 0.322071i | 0.231876 | − | 0.972745i | \(-0.425514\pi\) |
0.759357 | + | 0.650674i | \(0.225514\pi\) | |||||||
\(180\) | −0.647927 | + | 0.285909i | −0.0482936 | + | 0.0213104i | ||||
\(181\) | −6.28115 | − | 4.56352i | −0.466874 | − | 0.339204i | 0.329348 | − | 0.944209i | \(-0.393171\pi\) |
−0.796222 | + | 0.605005i | \(0.793171\pi\) | |||||||
\(182\) | −2.12663 | − | 1.54508i | −0.157636 | − | 0.114529i | ||||
\(183\) | 0.230757 | + | 4.54711i | 0.0170581 | + | 0.336132i | ||||
\(184\) | 18.2533 | − | 5.93085i | 1.34565 | − | 0.437228i | ||||
\(185\) | 0.673542 | + | 0.927051i | 0.0495198 | + | 0.0681581i | ||||
\(186\) | 4.25325 | + | 11.1352i | 0.311864 | + | 0.816470i | ||||
\(187\) | 0 | 0 | ||||||||
\(188\) | − | 5.14590i | − | 0.375303i | ||||||
\(189\) | −2.42325 | − | 15.8075i | −0.176265 | − | 1.14982i | ||||
\(190\) | −0.364745 | − | 1.12257i | −0.0264614 | − | 0.0814398i | ||||
\(191\) | 23.0499 | + | 7.48936i | 1.66783 | + | 0.541911i | 0.982490 | − | 0.186313i | \(-0.0596538\pi\) |
0.685340 | + | 0.728224i | \(0.259654\pi\) | |||||||
\(192\) | −3.92789 | + | 14.5626i | −0.283471 | + | 1.05097i | ||||
\(193\) | 5.79180 | − | 7.97172i | 0.416903 | − | 0.573817i | −0.547982 | − | 0.836490i | \(-0.684604\pi\) |
0.964885 | + | 0.262673i | \(0.0846039\pi\) | |||||||
\(194\) | 1.59184 | − | 4.89919i | 0.114288 | − | 0.351741i | ||||
\(195\) | 0.374050 | − | 0.301876i | 0.0267863 | − | 0.0216178i | ||||
\(196\) | −1.23607 | + | 0.898056i | −0.0882906 | + | 0.0641469i | ||||
\(197\) | −8.61251 | −0.613616 | −0.306808 | − | 0.951771i | \(-0.599261\pi\) | ||||
−0.306808 | + | 0.951771i | \(0.599261\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 2.23607 | 0.158511 | 0.0792553 | − | 0.996854i | \(-0.474746\pi\) | ||||
0.0792553 | + | 0.996854i | \(0.474746\pi\) | |||||||
\(200\) | −12.0862 | + | 8.78115i | −0.854625 | + | 0.620921i | ||||
\(201\) | 9.87473 | − | 7.96937i | 0.696510 | − | 0.562116i | ||||
\(202\) | −5.79180 | + | 17.8253i | −0.407509 | + | 1.25418i | ||||
\(203\) | 4.25325 | − | 5.85410i | 0.298520 | − | 0.410877i | ||||
\(204\) | 1.18567 | − | 4.39587i | 0.0830137 | − | 0.307772i | ||||
\(205\) | 0.263932 | + | 0.0857567i | 0.0184338 | + | 0.00598951i | ||||
\(206\) | 4.08174 | + | 12.5623i | 0.284388 | + | 0.875257i | ||||
\(207\) | −18.2864 | − | 3.95022i | −1.27099 | − | 0.274559i | ||||
\(208\) | − | 1.73060i | − | 0.119995i | ||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 0.854102 | + | 2.23607i | 0.0589386 | + | 0.154303i | ||||
\(211\) | 11.4443 | + | 15.7517i | 0.787856 | + | 1.08439i | 0.994372 | + | 0.105948i | \(0.0337876\pi\) |
−0.206516 | + | 0.978443i | \(0.566212\pi\) | |||||||
\(212\) | −1.08981 | + | 0.354102i | −0.0748487 | + | 0.0243198i | ||||
\(213\) | −0.467565 | − | 9.21346i | −0.0320370 | − | 0.631296i | ||||
\(214\) | −12.3992 | − | 9.00854i | −0.847591 | − | 0.615811i | ||||
\(215\) | −2.12663 | − | 1.54508i | −0.145035 | − | 0.105374i | ||||
\(216\) | 11.3641 | − | 11.2518i | 0.773232 | − | 0.765591i | ||||
\(217\) | −17.1353 | + | 5.56758i | −1.16322 | + | 0.377952i | ||||
\(218\) | −3.24920 | − | 4.47214i | −0.220063 | − | 0.302891i | ||||
\(219\) | 15.2169 | − | 5.81234i | 1.02826 | − | 0.392762i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 3.09017i | 0.207867i | ||||||||
\(222\) | −5.11746 | − | 3.33537i | −0.343461 | − | 0.223856i | ||||
\(223\) | 0.545085 | + | 1.67760i | 0.0365016 | + | 0.112340i | 0.967647 | − | 0.252307i | \(-0.0811894\pi\) |
−0.931146 | + | 0.364648i | \(0.881189\pi\) | |||||||
\(224\) | −9.82084 | − | 3.19098i | −0.656182 | − | 0.213207i | ||||
\(225\) | 14.4875 | − | 1.47422i | 0.965833 | − | 0.0982814i | ||||
\(226\) | −1.42047 | + | 1.95511i | −0.0944885 | + | 0.130052i | ||||
\(227\) | −4.47777 | + | 13.7812i | −0.297200 | + | 0.914687i | 0.685274 | + | 0.728286i | \(0.259683\pi\) |
−0.982474 | + | 0.186402i | \(0.940317\pi\) | |||||||
\(228\) | −1.76721 | − | 2.18973i | −0.117037 | − | 0.145018i | ||||
\(229\) | 12.2361 | − | 8.89002i | 0.808582 | − | 0.587469i | −0.104837 | − | 0.994489i | \(-0.533432\pi\) |
0.913419 | + | 0.407020i | \(0.133432\pi\) | |||||||
\(230\) | 2.80017 | 0.184638 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 7.23607 | 0.475071 | ||||||||
\(233\) | 7.83297 | − | 5.69098i | 0.513155 | − | 0.372829i | −0.300864 | − | 0.953667i | \(-0.597275\pi\) |
0.814019 | + | 0.580838i | \(0.197275\pi\) | |||||||
\(234\) | −1.28849 | + | 2.21477i | −0.0842314 | + | 0.144784i | ||||
\(235\) | 0.982779 | − | 3.02468i | 0.0641094 | − | 0.197309i | ||||
\(236\) | 0.138757 | − | 0.190983i | 0.00903233 | − | 0.0124319i | ||||
\(237\) | −6.64858 | − | 1.79328i | −0.431872 | − | 0.116486i | ||||
\(238\) | −14.6353 | − | 4.75528i | −0.948663 | − | 0.308239i | ||||
\(239\) | −2.38390 | − | 7.33688i | −0.154201 | − | 0.474583i | 0.843878 | − | 0.536536i | \(-0.180267\pi\) |
−0.998079 | + | 0.0619523i | \(0.980267\pi\) | |||||||
\(240\) | −0.860468 | + | 1.32021i | −0.0555430 | + | 0.0852195i | ||||
\(241\) | − | 27.8707i | − | 1.79531i | −0.440702 | − | 0.897654i | \(-0.645270\pi\) | ||
0.440702 | − | 0.897654i | \(-0.354730\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −15.0902 | + | 3.90983i | −0.968035 | + | 0.250816i | ||||
\(244\) | −0.954915 | − | 1.31433i | −0.0611322 | − | 0.0841412i | ||||
\(245\) | −0.898056 | + | 0.291796i | −0.0573747 | + | 0.0186422i | ||||
\(246\) | −1.47745 | + | 0.0749776i | −0.0941986 | + | 0.00478039i | ||||
\(247\) | 1.54508 | + | 1.12257i | 0.0983114 | + | 0.0714274i | ||||
\(248\) | −14.5761 | − | 10.5902i | −0.925584 | − | 0.672476i | ||||
\(249\) | 10.9444 | − | 0.555407i | 0.693573 | − | 0.0351975i | ||||
\(250\) | −4.20820 | + | 1.36733i | −0.266150 | + | 0.0864774i | ||||
\(251\) | 11.9475 | + | 16.4443i | 0.754117 | + | 1.03795i | 0.997681 | + | 0.0680683i | \(0.0216836\pi\) |
−0.243563 | + | 0.969885i | \(0.578316\pi\) | |||||||
\(252\) | 3.80423 | + | 4.25325i | 0.239644 | + | 0.267930i | ||||
\(253\) | 0 | 0 | ||||||||
\(254\) | − | 15.1246i | − | 0.949003i | ||||||
\(255\) | 1.53646 | − | 2.35738i | 0.0962167 | − | 0.147625i | ||||
\(256\) | −4.10081 | − | 12.6210i | −0.256301 | − | 0.788813i | ||||
\(257\) | −21.1805 | − | 6.88197i | −1.32120 | − | 0.429285i | −0.438296 | − | 0.898831i | \(-0.644418\pi\) |
−0.882908 | + | 0.469546i | \(0.844418\pi\) | |||||||
\(258\) | 13.5291 | + | 3.64912i | 0.842285 | + | 0.227185i | ||||
\(259\) | 5.42705 | − | 7.46969i | 0.337221 | − | 0.464144i | ||||
\(260\) | −0.0530006 | + | 0.163119i | −0.00328696 | + | 0.0101162i | ||||
\(261\) | −6.09673 | − | 3.54691i | −0.377378 | − | 0.219549i | ||||
\(262\) | 9.89919 | − | 7.19218i | 0.611574 | − | 0.444334i | ||||
\(263\) | −9.12705 | −0.562798 | −0.281399 | − | 0.959591i | \(-0.590798\pi\) | ||||
−0.281399 | + | 0.959591i | \(0.590798\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −0.708204 | −0.0435046 | ||||||||
\(266\) | −7.69421 | + | 5.59017i | −0.471762 | + | 0.342755i | ||||
\(267\) | 0.574203 | + | 0.711486i | 0.0351406 | + | 0.0435422i | ||||
\(268\) | −1.39919 | + | 4.30625i | −0.0854689 | + | 0.263046i | ||||
\(269\) | −11.0292 | + | 15.1803i | −0.672460 | + | 0.925562i | −0.999813 | − | 0.0193404i | \(-0.993843\pi\) |
0.327353 | + | 0.944902i | \(0.393843\pi\) | |||||||
\(270\) | 2.08415 | − | 1.04892i | 0.126837 | − | 0.0638354i | ||||
\(271\) | 16.1180 | + | 5.23707i | 0.979101 | + | 0.318129i | 0.754484 | − | 0.656318i | \(-0.227887\pi\) |
0.224617 | + | 0.974447i | \(0.427887\pi\) | |||||||
\(272\) | −3.13068 | − | 9.63525i | −0.189826 | − | 0.584223i | ||||
\(273\) | −3.24466 | − | 2.11475i | −0.196376 | − | 0.127991i | ||||
\(274\) | 5.53483i | 0.334371i | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 6.23607 | − | 2.38197i | 0.375367 | − | 0.143378i | ||||
\(277\) | 9.53444 | + | 13.1230i | 0.572869 | + | 0.788487i | 0.992891 | − | 0.119027i | \(-0.0379776\pi\) |
−0.420022 | + | 0.907514i | \(0.637978\pi\) | |||||||
\(278\) | −15.8904 | + | 5.16312i | −0.953046 | + | 0.309663i | ||||
\(279\) | 7.09008 | + | 16.0675i | 0.424472 | + | 0.961938i | ||||
\(280\) | −2.92705 | − | 2.12663i | −0.174925 | − | 0.127090i | ||||
\(281\) | 21.5438 | + | 15.6525i | 1.28519 | + | 0.933748i | 0.999697 | − | 0.0246309i | \(-0.00784106\pi\) |
0.285498 | + | 0.958379i | \(0.407841\pi\) | |||||||
\(282\) | 0.859249 | + | 16.9317i | 0.0511675 | + | 1.00827i | ||||
\(283\) | 20.3262 | − | 6.60440i | 1.20827 | − | 0.392591i | 0.365472 | − | 0.930822i | \(-0.380907\pi\) |
0.842797 | + | 0.538232i | \(0.180907\pi\) | |||||||
\(284\) | 1.93487 | + | 2.66312i | 0.114813 | + | 0.158027i | ||||
\(285\) | −0.620541 | − | 1.62460i | −0.0367577 | − | 0.0962329i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | − | 2.23607i | − | 0.131991i | ||||||
\(288\) | −2.12534 | + | 9.83865i | −0.125237 | + | 0.579748i | ||||
\(289\) | 0.336881 | + | 1.03681i | 0.0198165 | + | 0.0609890i | ||||
\(290\) | 1.00406 | + | 0.326238i | 0.0589603 | + | 0.0191574i | ||||
\(291\) | 1.97651 | − | 7.32791i | 0.115865 | − | 0.429570i | ||||
\(292\) | −3.41641 | + | 4.70228i | −0.199930 | + | 0.275180i | ||||
\(293\) | −4.30625 | + | 13.2533i | −0.251574 | + | 0.774265i | 0.742911 | + | 0.669390i | \(0.233444\pi\) |
−0.994485 | + | 0.104876i | \(0.966556\pi\) | |||||||
\(294\) | 3.91711 | − | 3.16129i | 0.228450 | − | 0.184370i | ||||
\(295\) | 0.118034 | − | 0.0857567i | 0.00687220 | − | 0.00499295i | ||||
\(296\) | 9.23305 | 0.536660 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −15.3262 | −0.887825 | ||||||||
\(299\) | −3.66547 | + | 2.66312i | −0.211980 | + | 0.154012i | ||||
\(300\) | −4.04358 | + | 3.26336i | −0.233456 | + | 0.188410i | ||||
\(301\) | −6.54508 | + | 20.1437i | −0.377252 | + | 1.16106i | ||||
\(302\) | −3.86974 | + | 5.32624i | −0.222678 | + | 0.306491i | ||||
\(303\) | −7.19140 | + | 26.6620i | −0.413135 | + | 1.53169i | ||||
\(304\) | −5.95492 | − | 1.93487i | −0.341538 | − | 0.110972i | ||||
\(305\) | −0.310271 | − | 0.954915i | −0.0177660 | − | 0.0546783i | ||||
\(306\) | −3.16723 | + | 14.6618i | −0.181059 | + | 0.838160i | ||||
\(307\) | − | 9.51057i | − | 0.542797i | −0.962467 | − | 0.271398i | \(-0.912514\pi\) | ||
0.962467 | − | 0.271398i | \(-0.0874861\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 6.94427 | + | 18.1803i | 0.395046 | + | 1.03424i | ||||
\(310\) | −1.54508 | − | 2.12663i | −0.0877549 | − | 0.120784i | ||||
\(311\) | −4.75528 | + | 1.54508i | −0.269647 | + | 0.0876137i | −0.440720 | − | 0.897645i | \(-0.645277\pi\) |
0.171072 | + | 0.985258i | \(0.445277\pi\) | |||||||
\(312\) | −0.196294 | − | 3.86801i | −0.0111129 | − | 0.218983i | ||||
\(313\) | −8.89919 | − | 6.46564i | −0.503012 | − | 0.365459i | 0.307154 | − | 0.951660i | \(-0.400623\pi\) |
−0.810166 | + | 0.586200i | \(0.800623\pi\) | |||||||
\(314\) | 9.23305 | + | 6.70820i | 0.521051 | + | 0.378566i | ||||
\(315\) | 1.42377 | + | 3.22654i | 0.0802203 | + | 0.181795i | ||||
\(316\) | 2.33688 | − | 0.759299i | 0.131460 | − | 0.0427139i | ||||
\(317\) | −2.48990 | − | 3.42705i | −0.139847 | − | 0.192482i | 0.733349 | − | 0.679853i | \(-0.237956\pi\) |
−0.873195 | + | 0.487370i | \(0.837956\pi\) | |||||||
\(318\) | 3.52671 | − | 1.34708i | 0.197768 | − | 0.0755407i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | − | 3.32624i | − | 0.185942i | ||||||
\(321\) | −18.9178 | − | 12.3299i | −1.05589 | − | 0.688191i | ||||
\(322\) | −6.97214 | − | 21.4580i | −0.388542 | − | 1.19581i | ||||
\(323\) | 10.6331 | + | 3.45492i | 0.591643 | + | 0.192237i | ||||
\(324\) | 3.74920 | − | 4.10886i | 0.208289 | − | 0.228270i | ||||
\(325\) | 2.07295 | − | 2.85317i | 0.114987 | − | 0.158265i | ||||
\(326\) | 5.31031 | − | 16.3435i | 0.294111 | − | 0.905180i | ||||
\(327\) | −5.11507 | − | 6.33801i | −0.282864 | − | 0.350493i | ||||
\(328\) | 1.80902 | − | 1.31433i | 0.0998863 | − | 0.0725716i | ||||
\(329\) | −25.6255 | −1.41278 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 12.8885 | 0.708418 | 0.354209 | − | 0.935166i | \(-0.384750\pi\) | ||||
0.354209 | + | 0.935166i | \(0.384750\pi\) | |||||||
\(332\) | −3.16344 | + | 2.29837i | −0.173616 | + | 0.126140i | ||||
\(333\) | −7.77929 | − | 4.52578i | −0.426302 | − | 0.248011i | ||||
\(334\) | 7.66312 | − | 23.5847i | 0.419307 | − | 1.29049i | ||||
\(335\) | −1.64484 | + | 2.26393i | −0.0898674 | + | 0.123692i | ||||
\(336\) | 12.2594 | + | 3.30667i | 0.668807 | + | 0.180393i | ||||
\(337\) | −23.9443 | − | 7.77997i | −1.30433 | − | 0.423802i | −0.427243 | − | 0.904137i | \(-0.640515\pi\) |
−0.877085 | + | 0.480335i | \(0.840515\pi\) | |||||||
\(338\) | −4.53077 | − | 13.9443i | −0.246441 | − | 0.758468i | ||||
\(339\) | −1.94420 | + | 2.98298i | −0.105594 | + | 0.162013i | ||||
\(340\) | 1.00406i | 0.0544526i | ||||||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 6.18034 | + | 6.90983i | 0.334195 | + | 0.373641i | ||||
\(343\) | −8.19098 | − | 11.2739i | −0.442272 | − | 0.608735i | ||||
\(344\) | −20.1437 | + | 6.54508i | −1.08608 | + | 0.352887i | ||||
\(345\) | 4.12038 | − | 0.209101i | 0.221834 | − | 0.0112576i | ||||
\(346\) | 21.9721 | + | 15.9637i | 1.18123 | + | 0.858213i | ||||
\(347\) | 5.87785 | + | 4.27051i | 0.315540 | + | 0.229253i | 0.734270 | − | 0.678858i | \(-0.237525\pi\) |
−0.418730 | + | 0.908111i | \(0.637525\pi\) | |||||||
\(348\) | 2.51358 | − | 0.127559i | 0.134742 | − | 0.00683790i | ||||
\(349\) | −12.9271 | + | 4.20025i | −0.691969 | + | 0.224834i | −0.633828 | − | 0.773474i | \(-0.718517\pi\) |
−0.0581411 | + | 0.998308i | \(0.518517\pi\) | |||||||
\(350\) | 10.3229 | + | 14.2082i | 0.551780 | + | 0.759460i | ||||
\(351\) | −1.73060 | + | 3.35520i | −0.0923726 | + | 0.179087i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 33.5967i | 1.78817i | 0.447893 | + | 0.894087i | \(0.352175\pi\) | ||||
−0.447893 | + | 0.894087i | \(0.647825\pi\) | |||||||
\(354\) | −0.424666 | + | 0.651565i | −0.0225708 | + | 0.0346303i | ||||
\(355\) | 0.628677 | + | 1.93487i | 0.0333667 | + | 0.102692i | ||||
\(356\) | −0.310271 | − | 0.100813i | −0.0164443 | − | 0.00534308i | ||||
\(357\) | −21.8905 | − | 5.90441i | −1.15857 | − | 0.312494i | ||||
\(358\) | 9.63525 | − | 13.2618i | 0.509239 | − | 0.700907i | ||||
\(359\) | −9.85359 | + | 30.3262i | −0.520053 | + | 1.60056i | 0.253844 | + | 0.967245i | \(0.418305\pi\) |
−0.773896 | + | 0.633312i | \(0.781695\pi\) | |||||||
\(360\) | −1.77346 | + | 3.04837i | −0.0934694 | + | 0.160663i | ||||
\(361\) | −9.78115 | + | 7.10642i | −0.514798 | + | 0.374022i | ||||
\(362\) | −9.12705 | −0.479707 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 1.38197 | 0.0724347 | ||||||||
\(365\) | −2.90617 | + | 2.11146i | −0.152116 | + | 0.110519i | ||||
\(366\) | 3.36144 | + | 4.16511i | 0.175705 | + | 0.217714i | ||||
\(367\) | 7.40983 | − | 22.8051i | 0.386790 | − | 1.19042i | −0.548383 | − | 0.836227i | \(-0.684757\pi\) |
0.935173 | − | 0.354190i | \(-0.115243\pi\) | |||||||
\(368\) | 8.73102 | − | 12.0172i | 0.455136 | − | 0.626441i | ||||
\(369\) | −2.16843 | + | 0.220655i | −0.112884 | + | 0.0114869i | ||||
\(370\) | 1.28115 | + | 0.416272i | 0.0666040 | + | 0.0216409i | ||||
\(371\) | 1.76336 | + | 5.42705i | 0.0915489 | + | 0.281758i | ||||
\(372\) | −5.24997 | − | 3.42174i | −0.272198 | − | 0.177409i | ||||
\(373\) | 27.3561i | 1.41645i | 0.705989 | + | 0.708223i | \(0.250503\pi\) | ||||
−0.705989 | + | 0.708223i | \(0.749497\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −6.09017 | + | 2.32624i | −0.314495 | + | 0.120126i | ||||
\(376\) | −15.0623 | − | 20.7315i | −0.776779 | − | 1.06914i | ||||
\(377\) | −1.62460 | + | 0.527864i | −0.0836711 | + | 0.0271864i | ||||
\(378\) | −13.2273 | − | 13.3594i | −0.680340 | − | 0.687131i | ||||
\(379\) | −2.33688 | − | 1.69784i | −0.120038 | − | 0.0872124i | 0.526147 | − | 0.850394i | \(-0.323636\pi\) |
−0.646184 | + | 0.763181i | \(0.723636\pi\) | |||||||
\(380\) | 0.502029 | + | 0.364745i | 0.0257535 | + | 0.0187110i | ||||
\(381\) | −1.12942 | − | 22.2555i | −0.0578622 | − | 1.14018i | ||||
\(382\) | 27.0967 | − | 8.80427i | 1.38639 | − | 0.450465i | ||||
\(383\) | 7.29818 | + | 10.0451i | 0.372920 | + | 0.513280i | 0.953691 | − | 0.300787i | \(-0.0972492\pi\) |
−0.580772 | + | 0.814066i | \(0.697249\pi\) | |||||||
\(384\) | 2.17963 | + | 5.70634i | 0.111229 | + | 0.291200i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | − | 11.5836i | − | 0.589589i | ||||||
\(387\) | 20.1802 | + | 4.35932i | 1.02582 | + | 0.221597i | ||||
\(388\) | 0.836881 | + | 2.57565i | 0.0424862 | + | 0.130759i | ||||
\(389\) | −7.02067 | − | 2.28115i | −0.355962 | − | 0.115659i | 0.125577 | − | 0.992084i | \(-0.459922\pi\) |
−0.481539 | + | 0.876425i | \(0.659922\pi\) | |||||||
\(390\) | 0.147152 | − | 0.545564i | 0.00745132 | − | 0.0276257i | ||||
\(391\) | −15.5902 | + | 21.4580i | −0.788429 | + | 1.08518i | ||||
\(392\) | −2.35114 | + | 7.23607i | −0.118751 | + | 0.365477i | ||||
\(393\) | 14.0294 | − | 11.3223i | 0.707687 | − | 0.571137i | ||||
\(394\) | −8.19098 | + | 5.95110i | −0.412656 | + | 0.299812i | ||||
\(395\) | 1.51860 | 0.0764089 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −23.0000 | −1.15434 | −0.577168 | − | 0.816625i | \(-0.695842\pi\) | ||||
−0.577168 | + | 0.816625i | \(0.695842\pi\) | |||||||
\(398\) | 2.12663 | − | 1.54508i | 0.106598 | − | 0.0774481i | ||||
\(399\) | −10.9044 | + | 8.80037i | −0.545903 | + | 0.440569i | ||||
\(400\) | −3.57295 | + | 10.9964i | −0.178647 | + | 0.549820i | ||||
\(401\) | 16.3722 | − | 22.5344i | 0.817590 | − | 1.12532i | −0.172517 | − | 0.985006i | \(-0.555190\pi\) |
0.990108 | − | 0.140310i | \(-0.0448099\pi\) | |||||||
\(402\) | 3.88473 | − | 14.4026i | 0.193753 | − | 0.718336i | ||||
\(403\) | 4.04508 | + | 1.31433i | 0.201500 | + | 0.0654713i | ||||
\(404\) | −3.04493 | − | 9.37132i | −0.151491 | − | 0.466241i | ||||
\(405\) | 2.98845 | − | 1.69910i | 0.148497 | − | 0.0844288i | ||||
\(406\) | − | 8.50651i | − | 0.422171i | ||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | −8.09017 | − | 21.1803i | −0.400523 | − | 1.04858i | ||||
\(409\) | 12.4377 | + | 17.1190i | 0.615004 | + | 0.846481i | 0.996977 | − | 0.0776926i | \(-0.0247553\pi\) |
−0.381973 | + | 0.924173i | \(0.624755\pi\) | |||||||
\(410\) | 0.310271 | − | 0.100813i | 0.0153232 | − | 0.00497880i | ||||
\(411\) | 0.413311 | + | 8.14437i | 0.0203871 | + | 0.401732i | ||||
\(412\) | −5.61803 | − | 4.08174i | −0.276781 | − | 0.201093i | ||||
\(413\) | −0.951057 | − | 0.690983i | −0.0467984 | − | 0.0340011i | ||||
\(414\) | −20.1209 | + | 8.87872i | −0.988890 | + | 0.436365i | ||||
\(415\) | −2.29837 | + | 0.746787i | −0.112823 | + | 0.0366583i | ||||
\(416\) | 1.43284 | + | 1.97214i | 0.0702508 | + | 0.0966919i | ||||
\(417\) | −22.9969 | + | 8.78402i | −1.12616 | + | 0.430155i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | − | 0.854102i | − | 0.0417256i | −0.999782 | − | 0.0208628i | \(-0.993359\pi\) | ||
0.999782 | − | 0.0208628i | \(-0.00664132\pi\) | |||||||
\(420\) | −1.05425 | − | 0.687124i | −0.0514423 | − | 0.0335282i | ||||
\(421\) | 5.91641 | + | 18.2088i | 0.288348 | + | 0.887444i | 0.985375 | + | 0.170399i | \(0.0545057\pi\) |
−0.697027 | + | 0.717045i | \(0.745494\pi\) | |||||||
\(422\) | 21.7683 | + | 7.07295i | 1.05966 | + | 0.344306i | ||||
\(423\) | 2.52873 | + | 24.8504i | 0.122951 | + | 1.20827i | ||||
\(424\) | −3.35410 | + | 4.61653i | −0.162890 | + | 0.224198i | ||||
\(425\) | 6.37988 | − | 19.6353i | 0.309470 | − | 0.952450i | ||||
\(426\) | −6.81102 | − | 8.43944i | −0.329995 | − | 0.408892i | ||||
\(427\) | −6.54508 | + | 4.75528i | −0.316739 | + | 0.230124i | ||||
\(428\) | 8.05748 | 0.389473 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −3.09017 | −0.149021 | ||||||||
\(431\) | −4.89404 | + | 3.55573i | −0.235738 | + | 0.171273i | −0.699382 | − | 0.714748i | \(-0.746541\pi\) |
0.463645 | + | 0.886021i | \(0.346541\pi\) | |||||||
\(432\) | 1.99688 | − | 12.2149i | 0.0960750 | − | 0.587690i | ||||
\(433\) | −1.85410 | + | 5.70634i | −0.0891025 | + | 0.274229i | −0.985672 | − | 0.168674i | \(-0.946051\pi\) |
0.896569 | + | 0.442903i | \(0.146051\pi\) | |||||||
\(434\) | −12.4495 | + | 17.1353i | −0.597595 | + | 0.822519i | ||||
\(435\) | 1.50181 | + | 0.405074i | 0.0720062 | + | 0.0194218i | ||||
\(436\) | 2.76393 | + | 0.898056i | 0.132368 | + | 0.0430091i | ||||
\(437\) | 5.06555 | + | 15.5902i | 0.242318 | + | 0.745779i | ||||
\(438\) | 10.4559 | − | 16.0425i | 0.499603 | − | 0.766540i | ||||
\(439\) | − | 2.73466i | − | 0.130518i | −0.997868 | − | 0.0652590i | \(-0.979213\pi\) | ||
0.997868 | − | 0.0652590i | \(-0.0207874\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 5.52786 | − | 4.94427i | 0.263232 | − | 0.235442i | ||||
\(442\) | 2.13525 | + | 2.93893i | 0.101564 | + | 0.139790i | ||||
\(443\) | 1.45309 | − | 0.472136i | 0.0690382 | − | 0.0224319i | −0.274294 | − | 0.961646i | \(-0.588444\pi\) |
0.343332 | + | 0.939214i | \(0.388444\pi\) | |||||||
\(444\) | 3.20727 | − | 0.162763i | 0.152210 | − | 0.00772438i | ||||
\(445\) | −0.163119 | − | 0.118513i | −0.00773258 | − | 0.00561805i | ||||
\(446\) | 1.67760 | + | 1.21885i | 0.0794366 | + | 0.0577141i | ||||
\(447\) | −22.5522 | + | 1.14448i | −1.06668 | + | 0.0541321i | ||||
\(448\) | −25.4894 | + | 8.28199i | −1.20426 | + | 0.391287i | ||||
\(449\) | −16.3925 | − | 22.5623i | −0.773609 | − | 1.06478i | −0.995959 | − | 0.0898141i | \(-0.971373\pi\) |
0.222350 | − | 0.974967i | \(-0.428627\pi\) | |||||||
\(450\) | 12.7598 | − | 11.4127i | 0.601501 | − | 0.537999i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | − | 1.27051i | − | 0.0597598i | ||||||
\(453\) | −5.29650 | + | 8.12641i | −0.248851 | + | 0.381812i | ||||
\(454\) | 5.26393 | + | 16.2007i | 0.247049 | + | 0.760337i | ||||
\(455\) | 0.812299 | + | 0.263932i | 0.0380812 | + | 0.0123733i | ||||
\(456\) | −13.5291 | − | 3.64912i | −0.633558 | − | 0.170886i | ||||
\(457\) | −14.7361 | + | 20.2825i | −0.689324 | + | 0.948773i | −0.999998 | − | 0.00174308i | \(-0.999445\pi\) |
0.310674 | + | 0.950516i | \(0.399445\pi\) | |||||||
\(458\) | 5.49434 | − | 16.9098i | 0.256734 | − | 0.790144i | ||||
\(459\) | −3.56564 | + | 21.8110i | −0.166430 | + | 1.01805i | ||||
\(460\) | −1.19098 | + | 0.865300i | −0.0555299 | + | 0.0403448i | ||||
\(461\) | 30.7113 | 1.43037 | 0.715184 | − | 0.698936i | \(-0.246343\pi\) | ||||
0.715184 | + | 0.698936i | \(0.246343\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 33.2705 | 1.54621 | 0.773106 | − | 0.634277i | \(-0.218702\pi\) | ||||
0.773106 | + | 0.634277i | \(0.218702\pi\) | |||||||
\(464\) | 4.53077 | − | 3.29180i | 0.210336 | − | 0.152818i | ||||
\(465\) | −2.43236 | − | 3.01390i | −0.112798 | − | 0.139766i | ||||
\(466\) | 3.51722 | − | 10.8249i | 0.162932 | − | 0.501453i | ||||
\(467\) | −4.49801 | + | 6.19098i | −0.208143 | + | 0.286485i | −0.900307 | − | 0.435256i | \(-0.856658\pi\) |
0.692163 | + | 0.721741i | \(0.256658\pi\) | |||||||
\(468\) | −0.136373 | − | 1.34016i | −0.00630382 | − | 0.0619491i | ||||
\(469\) | 21.4443 | + | 6.96767i | 0.990204 | + | 0.321737i | ||||
\(470\) | −1.15533 | − | 3.55573i | −0.0532912 | − | 0.164014i | ||||
\(471\) | 14.0872 | + | 9.18149i | 0.649102 | + | 0.423061i | ||||
\(472\) | − | 1.17557i | − | 0.0541100i | ||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | −7.56231 | + | 2.88854i | −0.347348 | + | 0.132675i | ||||
\(475\) | −7.50000 | − | 10.3229i | −0.344124 | − | 0.473646i | ||||
\(476\) | 7.69421 | − | 2.50000i | 0.352663 | − | 0.114587i | ||||
\(477\) | 5.08888 | − | 2.24556i | 0.233004 | − | 0.102817i | ||||
\(478\) | −7.33688 | − | 5.33056i | −0.335581 | − | 0.243814i | ||||
\(479\) | −16.2007 | − | 11.7705i | −0.740230 | − | 0.537808i | 0.152553 | − | 0.988295i | \(-0.451250\pi\) |
−0.892783 | + | 0.450487i | \(0.851250\pi\) | |||||||
\(480\) | −0.112503 | − | 2.21689i | −0.00513504 | − | 0.101187i | ||||
\(481\) | −2.07295 | + | 0.673542i | −0.0945183 | + | 0.0307109i | ||||
\(482\) | −19.2582 | − | 26.5066i | −0.877185 | − | 1.20734i | ||||
\(483\) | −11.8617 | − | 31.0543i | −0.539726 | − | 1.41302i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 1.67376i | 0.0760016i | ||||||||
\(486\) | −11.6500 | + | 14.1455i | −0.528454 | + | 0.641654i | ||||
\(487\) | 0.454915 | + | 1.40008i | 0.0206142 | + | 0.0634439i | 0.960834 | − | 0.277123i | \(-0.0893810\pi\) |
−0.940220 | + | 0.340567i | \(0.889381\pi\) | |||||||
\(488\) | −7.69421 | − | 2.50000i | −0.348300 | − | 0.113170i | ||||
\(489\) | 6.59356 | − | 24.4456i | 0.298171 | − | 1.10547i | ||||
\(490\) | −0.652476 | + | 0.898056i | −0.0294759 | + | 0.0405700i | ||||
\(491\) | 5.46158 | − | 16.8090i | 0.246478 | − | 0.758580i | −0.748912 | − | 0.662669i | \(-0.769424\pi\) |
0.995390 | − | 0.0959111i | \(-0.0305765\pi\) | |||||||
\(492\) | 0.605226 | − | 0.488446i | 0.0272857 | − | 0.0220208i | ||||
\(493\) | −8.09017 | + | 5.87785i | −0.364363 | + | 0.264725i | ||||
\(494\) | 2.24514 | 0.101014 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −13.9443 | −0.626116 | ||||||||
\(497\) | 13.2618 | − | 9.63525i | 0.594873 | − | 0.432200i | ||||
\(498\) | 10.0250 | − | 8.09061i | 0.449229 | − | 0.362549i | ||||
\(499\) | −11.1180 | + | 34.2178i | −0.497712 | + | 1.53180i | 0.314976 | + | 0.949100i | \(0.398003\pi\) |
−0.812688 | + | 0.582699i | \(0.801997\pi\) | |||||||
\(500\) | 1.36733 | − | 1.88197i | 0.0611488 | − | 0.0841641i | ||||
\(501\) | 9.51493 | − | 35.2765i | 0.425096 | − | 1.57604i | ||||
\(502\) | 22.7254 | + | 7.38394i | 1.01429 | + | 0.329561i | ||||
\(503\) | −2.62866 | − | 8.09017i | −0.117206 | − | 0.360723i | 0.875195 | − | 0.483771i | \(-0.160733\pi\) |
−0.992401 | + | 0.123048i | \(0.960733\pi\) | |||||||
\(504\) | 27.7757 | + | 6.00009i | 1.23723 | + | 0.267265i | ||||
\(505\) | − | 6.08985i | − | 0.270995i | ||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −7.70820 | − | 20.1803i | −0.342333 | − | 0.896240i | ||||
\(508\) | 4.67376 | + | 6.43288i | 0.207365 | + | 0.285413i | ||||
\(509\) | 31.6421 | − | 10.2812i | 1.40251 | − | 0.455704i | 0.492510 | − | 0.870307i | \(-0.336079\pi\) |
0.910003 | + | 0.414602i | \(0.136079\pi\) | |||||||
\(510\) | −0.167655 | − | 3.30367i | −0.00742388 | − | 0.146289i | ||||
\(511\) | 23.4164 | + | 17.0130i | 1.03588 | + | 0.752612i | ||||
\(512\) | −18.3273 | − | 13.3156i | −0.809962 | − | 0.588472i | ||||
\(513\) | 9.61022 | + | 9.70614i | 0.424301 | + | 0.428537i | ||||
\(514\) | −24.8992 | + | 8.09024i | −1.09826 | + | 0.356845i | ||||
\(515\) | −2.52265 | − | 3.47214i | −0.111161 | − | 0.153001i | ||||
\(516\) | −6.88191 | + | 2.62866i | −0.302959 | + | 0.115720i | ||||
\(517\) | 0 | 0 | ||||||||
\(518\) | − | 10.8541i | − | 0.476902i | ||||||
\(519\) | 33.5236 | + | 21.8494i | 1.47152 | + | 0.959084i | ||||
\(520\) | 0.263932 | + | 0.812299i | 0.0115742 | + | 0.0356217i | ||||
\(521\) | −32.0584 | − | 10.4164i | −1.40450 | − | 0.456351i | −0.493860 | − | 0.869542i | \(-0.664414\pi\) |
−0.910645 | + | 0.413190i | \(0.864414\pi\) | |||||||
\(522\) | −8.24920 | + | 0.839423i | −0.361058 | + | 0.0367406i | ||||
\(523\) | 11.9721 | − | 16.4782i | 0.523505 | − | 0.720543i | −0.462618 | − | 0.886558i | \(-0.653090\pi\) |
0.986123 | + | 0.166015i | \(0.0530900\pi\) | |||||||
\(524\) | −1.98787 | + | 6.11803i | −0.0868405 | + | 0.267268i | ||||
\(525\) | 16.2508 | + | 20.1362i | 0.709245 | + | 0.878815i | ||||
\(526\) | −8.68034 | + | 6.30664i | −0.378481 | + | 0.274982i | ||||
\(527\) | 24.8990 | 1.08462 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −15.8885 | −0.690806 | ||||||||
\(530\) | −0.673542 | + | 0.489357i | −0.0292568 | + | 0.0212563i | ||||
\(531\) | −0.576231 | + | 0.990475i | −0.0250063 | + | 0.0429829i | ||||
\(532\) | 1.54508 | − | 4.75528i | 0.0669879 | − | 0.206168i | ||||
\(533\) | −0.310271 | + | 0.427051i | −0.0134393 | + | 0.0184976i | ||||
\(534\) | 1.03772 | + | 0.279899i | 0.0449067 | + | 0.0121124i | ||||
\(535\) | 4.73607 | + | 1.53884i | 0.204758 | + | 0.0665299i | ||||
\(536\) | 6.96767 | + | 21.4443i | 0.300957 | + | 0.926251i | ||||
\(537\) | 13.1877 | − | 20.2339i | 0.569093 | − | 0.873158i | ||||
\(538\) | 22.0583i | 0.951002i | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −0.562306 | + | 1.09017i | −0.0241978 | + | 0.0469134i | ||||
\(541\) | −8.98278 | − | 12.3637i | −0.386200 | − | 0.531558i | 0.571014 | − | 0.820940i | \(-0.306550\pi\) |
−0.957214 | + | 0.289382i | \(0.906550\pi\) | |||||||
\(542\) | 18.9479 | − | 6.15654i | 0.813881 | − | 0.264446i | ||||
\(543\) | −13.4302 | + | 0.681559i | −0.576347 | + | 0.0292485i | ||||
\(544\) | 11.5451 | + | 8.38800i | 0.494991 | + | 0.359632i | ||||
\(545\) | 1.45309 | + | 1.05573i | 0.0622433 | + | 0.0452224i | ||||
\(546\) | −4.54711 | + | 0.230757i | −0.194598 | + | 0.00987550i | ||||
\(547\) | 25.5517 | − | 8.30224i | 1.09251 | − | 0.354978i | 0.293294 | − | 0.956022i | \(-0.405248\pi\) |
0.799216 | + | 0.601044i | \(0.205248\pi\) | |||||||
\(548\) | −1.71036 | − | 2.35410i | −0.0730628 | − | 0.100562i | ||||
\(549\) | 5.25731 | + | 5.87785i | 0.224377 | + | 0.250861i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 6.18034i | 0.263291i | ||||||||
\(552\) | 18.1514 | − | 27.8496i | 0.772573 | − | 1.18536i | ||||
\(553\) | −3.78115 | − | 11.6372i | −0.160791 | − | 0.494864i | ||||
\(554\) | 18.1356 | + | 5.89261i | 0.770507 | + | 0.250353i | ||||
\(555\) | 1.91627 | + | 0.516865i | 0.0813412 | + | 0.0219397i | ||||
\(556\) | 5.16312 | − | 7.10642i | 0.218965 | − | 0.301379i | ||||
\(557\) | −0.0857567 | + | 0.263932i | −0.00363363 | + | 0.0111832i | −0.952857 | − | 0.303420i | \(-0.901871\pi\) |
0.949223 | + | 0.314603i | \(0.101871\pi\) | |||||||
\(558\) | 17.8455 | + | 10.3820i | 0.755458 | + | 0.439505i | ||||
\(559\) | 4.04508 | − | 2.93893i | 0.171089 | − | 0.124303i | ||||
\(560\) | −2.80017 | −0.118329 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 31.3050 | 1.32052 | ||||||||
\(563\) | 0.865300 | − | 0.628677i | 0.0364680 | − | 0.0264956i | −0.569402 | − | 0.822059i | \(-0.692825\pi\) |
0.605870 | + | 0.795564i | \(0.292825\pi\) | |||||||
\(564\) | −5.59763 | − | 6.93594i | −0.235703 | − | 0.292056i | ||||
\(565\) | 0.242646 | − | 0.746787i | 0.0102082 | − | 0.0314176i | ||||
\(566\) | 14.7679 | − | 20.3262i | 0.620740 | − | 0.854376i | ||||
\(567\) | −20.4613 | − | 18.6702i | −0.859294 | − | 0.784076i | ||||
\(568\) | 15.5902 | + | 5.06555i | 0.654149 | + | 0.212546i | ||||
\(569\) | −6.43288 | − | 19.7984i | −0.269680 | − | 0.829991i | −0.990578 | − | 0.136949i | \(-0.956270\pi\) |
0.720898 | − | 0.693042i | \(-0.243730\pi\) | |||||||
\(570\) | −1.71274 | − | 1.11630i | −0.0717388 | − | 0.0467567i | ||||
\(571\) | 22.5478i | 0.943598i | 0.881706 | + | 0.471799i | \(0.156395\pi\) | ||||
−0.881706 | + | 0.471799i | \(0.843605\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 39.2148 | − | 14.9787i | 1.63822 | − | 0.625745i | ||||
\(574\) | −1.54508 | − | 2.12663i | −0.0644906 | − | 0.0887637i | ||||
\(575\) | 28.7890 | − | 9.35410i | 1.20058 | − | 0.390093i | ||||
\(576\) | 10.5468 | + | 23.9011i | 0.439449 | + | 0.995878i | ||||
\(577\) | 6.47214 | + | 4.70228i | 0.269439 | + | 0.195759i | 0.714298 | − | 0.699842i | \(-0.246746\pi\) |
−0.444859 | + | 0.895601i | \(0.646746\pi\) | |||||||
\(578\) | 1.03681 | + | 0.753289i | 0.0431257 | + | 0.0313327i | ||||
\(579\) | −0.865000 | − | 17.0450i | −0.0359482 | − | 0.708366i | ||||
\(580\) | −0.527864 | + | 0.171513i | −0.0219184 | + | 0.00712171i | ||||
\(581\) | 11.4454 | + | 15.7533i | 0.474837 | + | 0.653557i | ||||
\(582\) | −3.18368 | − | 8.33499i | −0.131968 | − | 0.345497i | ||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 28.9443i | 1.19772i | ||||||||
\(585\) | 0.175791 | − | 0.813773i | 0.00726805 | − | 0.0336454i | ||||
\(586\) | 5.06231 | + | 15.5802i | 0.209122 | + | 0.643611i | ||||
\(587\) | 11.3597 | + | 3.69098i | 0.468864 | + | 0.152343i | 0.533914 | − | 0.845539i | \(-0.320721\pi\) |
−0.0650498 | + | 0.997882i | \(0.520721\pi\) | |||||||
\(588\) | −0.689153 | + | 2.55503i | −0.0284202 | + | 0.105368i | ||||
\(589\) | 9.04508 | − | 12.4495i | 0.372696 | − | 0.512972i | ||||
\(590\) | 0.0530006 | − | 0.163119i | 0.00218200 | − | 0.00671550i | ||||
\(591\) | −11.6084 | + | 9.36856i | −0.477508 | + | 0.385371i | ||||
\(592\) | 5.78115 | − | 4.20025i | 0.237604 | − | 0.172629i | ||||
\(593\) | −7.33094 | −0.301046 | −0.150523 | − | 0.988607i | \(-0.548096\pi\) | ||||
−0.150523 | + | 0.988607i | \(0.548096\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 5.00000 | 0.204980 | ||||||||
\(596\) | 6.51864 | − | 4.73607i | 0.267014 | − | 0.193997i | ||||
\(597\) | 3.01390 | − | 2.43236i | 0.123351 | − | 0.0995499i | ||||
\(598\) | −1.64590 | + | 5.06555i | −0.0673058 | + | 0.207146i | ||||
\(599\) | −12.7598 | + | 17.5623i | −0.521350 | + | 0.717576i | −0.985781 | − | 0.168033i | \(-0.946259\pi\) |
0.464432 | + | 0.885609i | \(0.346259\pi\) | |||||||
\(600\) | −6.73851 | + | 24.9830i | −0.275098 | + | 1.01993i | ||||
\(601\) | 17.7254 | + | 5.75934i | 0.723035 | + | 0.234928i | 0.647339 | − | 0.762203i | \(-0.275882\pi\) |
0.0756965 | + | 0.997131i | \(0.475882\pi\) | |||||||
\(602\) | 7.69421 | + | 23.6803i | 0.313593 | + | 0.965139i | ||||
\(603\) | 4.64078 | − | 21.4832i | 0.188987 | − | 0.874863i | ||||
\(604\) | − | 3.46120i | − | 0.140834i | ||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 11.5836 | + | 30.3262i | 0.470551 | + | 1.23192i | ||||
\(607\) | −21.7705 | − | 29.9645i | −0.883638 | − | 1.21622i | −0.975400 | − | 0.220442i | \(-0.929250\pi\) |
0.0917623 | − | 0.995781i | \(-0.470750\pi\) | |||||||
\(608\) | 8.38800 | − | 2.72542i | 0.340178 | − | 0.110531i | ||||
\(609\) | −0.635220 | − | 12.5171i | −0.0257404 | − | 0.507220i | ||||
\(610\) | −0.954915 | − | 0.693786i | −0.0386634 | − | 0.0280906i | ||||
\(611\) | 4.89404 | + | 3.55573i | 0.197992 | + | 0.143849i | ||||
\(612\) | −3.18364 | − | 7.21477i | −0.128691 | − | 0.291640i | ||||
\(613\) | −36.1803 | + | 11.7557i | −1.46131 | + | 0.474808i | −0.928470 | − | 0.371407i | \(-0.878875\pi\) |
−0.532840 | + | 0.846216i | \(0.678875\pi\) | |||||||
\(614\) | −6.57164 | − | 9.04508i | −0.265210 | − | 0.365030i | ||||
\(615\) | 0.449028 | − | 0.171513i | 0.0181066 | − | 0.00691609i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | − | 15.7639i | − | 0.634632i | −0.948320 | − | 0.317316i | \(-0.897218\pi\) | ||
0.948320 | − | 0.317316i | \(-0.102782\pi\) | |||||||
\(618\) | 19.1667 | + | 12.4922i | 0.770998 | + | 0.502508i | ||||
\(619\) | −4.45492 | − | 13.7108i | −0.179058 | − | 0.551084i | 0.820737 | − | 0.571306i | \(-0.193563\pi\) |
−0.999796 | + | 0.0202213i | \(0.993563\pi\) | |||||||
\(620\) | 1.31433 | + | 0.427051i | 0.0527847 | + | 0.0171508i | ||||
\(621\) | −28.9445 | + | 14.5674i | −1.16150 | + | 0.584568i | ||||
\(622\) | −3.45492 | + | 4.75528i | −0.138529 | + | 0.190669i | ||||
\(623\) | −0.502029 | + | 1.54508i | −0.0201133 | + | 0.0619025i | ||||
\(624\) | −1.88252 | − | 2.33260i | −0.0753611 | − | 0.0933789i | ||||
\(625\) | −18.4721 | + | 13.4208i | −0.738885 | + | 0.536832i | ||||
\(626\) | −12.9313 | −0.516838 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −6.00000 | −0.239426 | ||||||||
\(629\) | −10.3229 | + | 7.50000i | −0.411600 | + | 0.299045i | ||||
\(630\) | 3.58357 | + | 2.08482i | 0.142773 | + | 0.0830614i | ||||
\(631\) | 13.4271 | − | 41.3242i | 0.534522 | − | 1.64509i | −0.210156 | − | 0.977668i | \(-0.567397\pi\) |
0.744679 | − | 0.667423i | \(-0.232603\pi\) | |||||||
\(632\) | 7.19218 | − | 9.89919i | 0.286090 | − | 0.393769i | ||||
\(633\) | 32.5597 | + | 8.78214i | 1.29413 | + | 0.349059i | ||||
\(634\) | −4.73607 | − | 1.53884i | −0.188093 | − | 0.0611152i | ||||
\(635\) | 1.51860 | + | 4.67376i | 0.0602637 | + | 0.185473i | ||||
\(636\) | −1.08373 | + | 1.66276i | −0.0429726 | + | 0.0659328i | ||||
\(637\) | − | 1.79611i | − | 0.0711645i | ||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −10.6525 | − | 11.9098i | −0.421405 | − | 0.471146i | ||||
\(640\) | −0.791796 | − | 1.08981i | −0.0312985 | − | 0.0430787i | ||||
\(641\) | −10.6004 | + | 3.44427i | −0.418690 | + | 0.136041i | −0.510783 | − | 0.859710i | \(-0.670644\pi\) |
0.0920929 | + | 0.995750i | \(0.470644\pi\) | |||||||
\(642\) | −26.5117 | + | 1.34542i | −1.04633 | + | 0.0530994i | ||||
\(643\) | −15.4443 | − | 11.2209i | −0.609063 | − | 0.442510i | 0.240021 | − | 0.970768i | \(-0.422846\pi\) |
−0.849084 | + | 0.528258i | \(0.822846\pi\) | |||||||
\(644\) | 9.59632 | + | 6.97214i | 0.378148 | + | 0.274741i | ||||
\(645\) | −4.54711 | + | 0.230757i | −0.179042 | + | 0.00908606i | ||||
\(646\) | 12.5000 | − | 4.06150i | 0.491806 | − | 0.159797i | ||||
\(647\) | −14.7881 | − | 20.3541i | −0.581381 | − | 0.800202i | 0.412465 | − | 0.910973i | \(-0.364668\pi\) |
−0.993846 | + | 0.110771i | \(0.964668\pi\) | |||||||
\(648\) | 3.07768 | − | 27.5276i | 0.120903 | − | 1.08139i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | − | 4.14590i | − | 0.162615i | ||||||
\(651\) | −17.0396 | + | 26.1438i | −0.667833 | + | 1.02466i | ||||
\(652\) | 2.79180 | + | 8.59226i | 0.109335 | + | 0.336499i | ||||
\(653\) | 39.8056 | + | 12.9336i | 1.55771 | + | 0.506132i | 0.956196 | − | 0.292727i | \(-0.0945628\pi\) |
0.601518 | + | 0.798859i | \(0.294563\pi\) | |||||||
\(654\) | −9.24418 | − | 2.49338i | −0.361476 | − | 0.0974988i | ||||
\(655\) | −2.33688 | + | 3.21644i | −0.0913095 | + | 0.125677i | ||||
\(656\) | 0.534785 | − | 1.64590i | 0.0208798 | − | 0.0642615i | ||||
\(657\) | 14.1877 | − | 24.3869i | 0.553513 | − | 0.951425i | ||||
\(658\) | −24.3713 | + | 17.7068i | −0.950093 | + | 0.690283i | ||||
\(659\) | 3.59222 | 0.139933 | 0.0699666 | − | 0.997549i | \(-0.477711\pi\) | ||||
0.0699666 | + | 0.997549i | \(0.477711\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −23.4508 | −0.912132 | −0.456066 | − | 0.889946i | \(-0.650742\pi\) | ||||
−0.456066 | + | 0.889946i | \(0.650742\pi\) | |||||||
\(662\) | 12.2577 | − | 8.90576i | 0.476410 | − | 0.346132i | ||||
\(663\) | 3.36144 | + | 4.16511i | 0.130548 | + | 0.161760i | ||||
\(664\) | −6.01722 | + | 18.5191i | −0.233513 | + | 0.718681i | ||||
\(665\) | 1.81636 | − | 2.50000i | 0.0704353 | − | 0.0969458i | ||||
\(666\) | −10.5258 | + | 1.07108i | −0.407866 | + | 0.0415037i | ||||
\(667\) | −13.9443 | − | 4.53077i | −0.539924 | − | 0.175432i | ||||
\(668\) | 4.02874 | + | 12.3992i | 0.155877 | + | 0.479739i | ||||
\(669\) | 2.55957 | + | 1.66823i | 0.0989585 | + | 0.0644975i | ||||
\(670\) | 3.28969i | 0.127092i | ||||||||
\(671\) | 0 | 0 | ||||||||
\(672\) | −16.7082 | + | 6.38197i | −0.644533 | + | 0.246190i | ||||
\(673\) | −6.07953 | − | 8.36775i | −0.234349 | − | 0.322553i | 0.675605 | − | 0.737264i | \(-0.263883\pi\) |
−0.909953 | + | 0.414711i | \(0.863883\pi\) | |||||||
\(674\) | −28.1482 | + | 9.14590i | −1.08423 | + | 0.352287i | ||||
\(675\) | 17.9235 | − | 17.7463i | 0.689874 | − | 0.683056i | ||||
\(676\) | 6.23607 | + | 4.53077i | 0.239849 | + | 0.174260i | ||||
\(677\) | −24.0009 | − | 17.4377i | −0.922431 | − | 0.670185i | 0.0216973 | − | 0.999765i | \(-0.493093\pi\) |
−0.944128 | + | 0.329580i | \(0.893093\pi\) | |||||||
\(678\) | 0.212147 | + | 4.18039i | 0.00814744 | + | 0.160547i | ||||
\(679\) | 12.8262 | − | 4.16750i | 0.492226 | − | 0.159934i | ||||
\(680\) | 2.93893 | + | 4.04508i | 0.112703 | + | 0.155122i | ||||
\(681\) | 8.95554 | + | 23.4459i | 0.343177 | + | 0.898449i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | − | 9.00000i | − | 0.344375i | −0.985064 | − | 0.172188i | \(-0.944916\pi\) | ||
0.985064 | − | 0.172188i | \(-0.0550836\pi\) | |||||||
\(684\) | −4.76391 | − | 1.02910i | −0.182153 | − | 0.0393485i | ||||
\(685\) | −0.555728 | − | 1.71036i | −0.0212333 | − | 0.0653493i | ||||
\(686\) | −15.5802 | − | 5.06231i | −0.594854 | − | 0.193280i | ||||
\(687\) | 6.82205 | − | 25.2927i | 0.260278 | − | 0.964977i | ||||
\(688\) | −9.63525 | + | 13.2618i | −0.367341 | + | 0.505601i | ||||
\(689\) | 0.416272 | − | 1.28115i | 0.0158587 | − | 0.0488080i | ||||
\(690\) | 3.77423 | − | 3.04598i | 0.143683 | − | 0.115959i | ||||
\(691\) | 8.38197 | − | 6.08985i | 0.318865 | − | 0.231669i | −0.416826 | − | 0.908986i | \(-0.636858\pi\) |
0.735691 | + | 0.677317i | \(0.236858\pi\) | |||||||
\(692\) | −14.2784 | −0.542782 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 8.54102 | 0.324213 | ||||||||
\(695\) | 4.39201 | − | 3.19098i | 0.166598 | − | 0.121041i | ||||
\(696\) | 9.75320 | − | 7.87129i | 0.369694 | − | 0.298360i | ||||
\(697\) | −0.954915 | + | 2.93893i | −0.0361700 | + | 0.111320i | ||||
\(698\) | −9.39205 | + | 12.9271i | −0.355494 | + | 0.489296i | ||||
\(699\) | 4.36716 | − | 16.1912i | 0.165181 | − | 0.612408i | ||||
\(700\) | −8.78115 | − | 2.85317i | −0.331896 | − | 0.107840i | ||||
\(701\) | −4.78804 | − | 14.7361i | −0.180842 | − | 0.556574i | 0.819010 | − | 0.573779i | \(-0.194523\pi\) |
−0.999852 | + | 0.0172053i | \(0.994523\pi\) | |||||||
\(702\) | 0.672487 | + | 4.38680i | 0.0253814 | + | 0.165569i | ||||
\(703\) | 7.88597i | 0.297425i | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −1.96556 | − | 5.14590i | −0.0740272 | − | 0.193806i | ||||
\(706\) | 23.2148 | + | 31.9524i | 0.873700 | + | 1.20254i | ||||
\(707\) | −46.6673 | + | 15.1631i | −1.75510 | + | 0.570268i | ||||
\(708\) | −0.0207233 | − | 0.408356i | −0.000778829 | − | 0.0153470i | ||||
\(709\) | 16.5902 | + | 12.0535i | 0.623057 | + | 0.452677i | 0.853988 | − | 0.520293i | \(-0.174177\pi\) |
−0.230931 | + | 0.972970i | \(0.574177\pi\) | |||||||
\(710\) | 1.93487 | + | 1.40576i | 0.0726143 | + | 0.0527574i | ||||
\(711\) | −10.9121 | + | 4.81514i | −0.409234 | + | 0.180582i | ||||
\(712\) | −1.54508 | + | 0.502029i | −0.0579045 | + | 0.0188143i | ||||
\(713\) | 21.4580 | + | 29.5344i | 0.803609 | + | 1.10607i | ||||
\(714\) | −24.8990 | + | 9.51057i | −0.931821 | + | 0.355924i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 8.61803i | 0.322071i | ||||||||
\(717\) | −11.1941 | − | 7.29591i | −0.418052 | − | 0.272471i | ||||
\(718\) | 11.5836 | + | 35.6506i | 0.432296 | + | 1.33047i | ||||
\(719\) | −28.6502 | − | 9.30902i | −1.06847 | − | 0.347168i | −0.278580 | − | 0.960413i | \(-0.589864\pi\) |
−0.789893 | + | 0.613245i | \(0.789864\pi\) | |||||||
\(720\) | 0.276321 | + | 2.71547i | 0.0102979 | + | 0.101199i | ||||
\(721\) | −20.3262 | + | 27.9767i | −0.756989 | + | 1.04191i | ||||
\(722\) | −4.39201 | + | 13.5172i | −0.163454 | + | 0.503059i | ||||
\(723\) | −30.3173 | − | 37.5657i | −1.12751 | − | 1.39708i | ||||
\(724\) | 3.88197 | − | 2.82041i | 0.144272 | − | 0.104820i | ||||
\(725\) | 11.4127 | 0.423856 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −27.8541 | −1.03305 | −0.516526 | − | 0.856272i | \(-0.672775\pi\) | ||||
−0.516526 | + | 0.856272i | \(0.672775\pi\) | |||||||
\(728\) | 5.56758 | − | 4.04508i | 0.206348 | − | 0.149921i | ||||
\(729\) | −16.0864 | + | 21.6848i | −0.595791 | + | 0.803139i | ||||
\(730\) | −1.30495 | + | 4.01623i | −0.0482984 | + | 0.148647i | ||||
\(731\) | 17.2048 | − | 23.6803i | 0.636342 | − | 0.875849i | ||||
\(732\) | −2.71680 | − | 0.732786i | −0.100416 | − | 0.0270845i | ||||
\(733\) | −44.7984 | − | 14.5559i | −1.65467 | − | 0.537633i | −0.674922 | − | 0.737889i | \(-0.735823\pi\) |
−0.979744 | + | 0.200256i | \(0.935823\pi\) | |||||||
\(734\) | −8.71078 | − | 26.8090i | −0.321521 | − | 0.989539i | ||||
\(735\) | −0.893041 | + | 1.37019i | −0.0329403 | + | 0.0505403i | ||||
\(736\) | 20.9232i | 0.771241i | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | −1.90983 | + | 1.70820i | −0.0703018 | + | 0.0628799i | ||||
\(739\) | −7.98936 | − | 10.9964i | −0.293893 | − | 0.404509i | 0.636381 | − | 0.771375i | \(-0.280431\pi\) |
−0.930274 | + | 0.366866i | \(0.880431\pi\) | |||||||
\(740\) | −0.673542 | + | 0.218847i | −0.0247599 | + | 0.00804498i | ||||
\(741\) | 3.30367 | − | 0.167655i | 0.121363 | − | 0.00615896i | ||||
\(742\) | 5.42705 | + | 3.94298i | 0.199233 | + | 0.144751i | ||||
\(743\) | 23.7562 | + | 17.2599i | 0.871529 | + | 0.633203i | 0.930997 | − | 0.365027i | \(-0.118940\pi\) |
−0.0594676 | + | 0.998230i | \(0.518940\pi\) | |||||||
\(744\) | −31.1664 | + | 1.58163i | −1.14261 | + | 0.0579855i | ||||
\(745\) | 4.73607 | − | 1.53884i | 0.173516 | − | 0.0563788i | ||||
\(746\) | 18.9026 | + | 26.0172i | 0.692074 | + | 0.952558i | ||||
\(747\) | 14.1473 | − | 12.6538i | 0.517624 | − | 0.462977i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | − | 40.1246i | − | 1.46612i | ||||||
\(750\) | −4.18470 | + | 6.42059i | −0.152804 | + | 0.234447i | ||||
\(751\) | −4.50000 | − | 13.8496i | −0.164207 | − | 0.505378i | 0.834770 | − | 0.550599i | \(-0.185601\pi\) |
−0.998977 | + | 0.0452211i | \(0.985601\pi\) | |||||||
\(752\) | −18.8621 | − | 6.12868i | −0.687831 | − | 0.223490i | ||||
\(753\) | 33.9913 | + | 9.16828i | 1.23871 | + | 0.334111i | ||||
\(754\) | −1.18034 | + | 1.62460i | −0.0429854 | + | 0.0591644i | ||||
\(755\) | 0.661030 | − | 2.03444i | 0.0240574 | − | 0.0740409i | ||||
\(756\) | 9.75419 | + | 1.59460i | 0.354756 | + | 0.0579952i | ||||
\(757\) | −8.80902 | + | 6.40013i | −0.320169 | + | 0.232617i | −0.736248 | − | 0.676712i | \(-0.763404\pi\) |
0.416078 | + | 0.909329i | \(0.363404\pi\) | |||||||
\(758\) | −3.39569 | −0.123337 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 3.09017 | 0.112092 | ||||||||
\(761\) | −26.8339 | + | 19.4959i | −0.972726 | + | 0.706727i | −0.956071 | − | 0.293134i | \(-0.905302\pi\) |
−0.0166551 | + | 0.999861i | \(0.505302\pi\) | |||||||
\(762\) | −16.4523 | − | 20.3858i | −0.596005 | − | 0.738501i | ||||
\(763\) | 4.47214 | − | 13.7638i | 0.161902 | − | 0.498284i | ||||
\(764\) | −8.80427 | + | 12.1180i | −0.318527 | + | 0.438415i | ||||
\(765\) | −0.493401 | − | 4.84876i | −0.0178389 | − | 0.175307i | ||||
\(766\) | 13.8820 | + | 4.51052i | 0.501576 | + | 0.162972i | ||||
\(767\) | 0.0857567 | + | 0.263932i | 0.00309650 | + | 0.00953003i | ||||
\(768\) | −19.2563 | − | 12.5505i | −0.694850 | − | 0.452878i | ||||
\(769\) | − | 30.7113i | − | 1.10748i | −0.832690 | − | 0.553739i | \(-0.813200\pi\) | ||
0.832690 | − | 0.553739i | \(-0.186800\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −36.0344 | + | 13.7639i | −1.29775 | + | 0.495696i | ||||
\(772\) | 3.57953 | + | 4.92680i | 0.128830 | + | 0.177319i | ||||
\(773\) | −43.5896 | + | 14.1631i | −1.56781 | + | 0.509412i | −0.958880 | − | 0.283813i | \(-0.908401\pi\) |
−0.608929 | + | 0.793225i | \(0.708401\pi\) | |||||||
\(774\) | 22.2048 | − | 9.79825i | 0.798134 | − | 0.352191i | ||||
\(775\) | −22.9894 | − | 16.7027i | −0.825802 | − | 0.599980i | ||||
\(776\) | 10.9106 | + | 7.92705i | 0.391669 | + | 0.284565i | ||||
\(777\) | −0.810526 | − | 15.9716i | −0.0290774 | − | 0.572977i | ||||
\(778\) | −8.25329 | + | 2.68166i | −0.295895 | + | 0.0961420i | ||||
\(779\) | 1.12257 | + | 1.54508i | 0.0402202 | + | 0.0553584i | ||||
\(780\) | 0.106001 | + | 0.277515i | 0.00379545 | + | 0.00993661i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 31.1803i | 1.11501i | ||||||||
\(783\) | −12.0758 | + | 1.85120i | −0.431555 | + | 0.0661564i | ||||
\(784\) | 1.81966 | + | 5.60034i | 0.0649879 | + | 0.200012i | ||||
\(785\) | −3.52671 | − | 1.14590i | −0.125874 | − | 0.0408989i | ||||
\(786\) | 5.51916 | − | 20.4622i | 0.196862 | − | 0.729864i | ||||
\(787\) | −1.83282 | + | 2.52265i | −0.0653328 | + | 0.0899229i | −0.840433 | − | 0.541915i | \(-0.817699\pi\) |
0.775100 | + | 0.631838i | \(0.217699\pi\) | |||||||
\(788\) | 1.64484 | − | 5.06231i | 0.0585951 | − | 0.180337i | ||||
\(789\) | −12.3020 | + | 9.92827i | −0.437962 | + | 0.353456i | ||||
\(790\) | 1.44427 | − | 1.04932i | 0.0513849 | − | 0.0373333i | ||||
\(791\) | −6.32688 | −0.224958 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 1.90983 | 0.0678201 | ||||||||
\(794\) | −21.8743 | + | 15.8926i | −0.776290 | + | 0.564008i | ||||
\(795\) | −0.954559 | + | 0.770374i | −0.0338547 | + | 0.0273223i | ||||
\(796\) | −0.427051 | + | 1.31433i | −0.0151364 | + | 0.0465851i | ||||
\(797\) | −21.2008 | + | 29.1803i | −0.750969 | + | 1.03362i | 0.246942 | + | 0.969030i | \(0.420574\pi\) |
−0.997912 | + | 0.0645905i | \(0.979426\pi\) | |||||||
\(798\) | −4.28980 | + | 15.9044i | −0.151857 | + | 0.563010i | ||||
\(799\) | 33.6803 | + | 10.9434i | 1.19152 | + | 0.387150i | ||||
\(800\) | −5.03280 | − | 15.4894i | −0.177936 | − | 0.547631i | ||||
\(801\) | 1.54789 | + | 0.334374i | 0.0546919 | + | 0.0118145i | ||||
\(802\) | − | 32.7445i | − | 1.15625i | ||||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 2.79837 | + | 7.32624i | 0.0986910 | + | 0.258376i | ||||
\(805\) | 4.30902 | + | 5.93085i | 0.151873 | + | 0.209035i | ||||
\(806\) | 4.75528 | − | 1.54508i | 0.167498 | − | 0.0544233i | ||||
\(807\) | 1.64720 | + | 32.4583i | 0.0579841 | + | 1.14259i | ||||
\(808\) | −39.6976 | − | 28.8420i | −1.39656 | − | 1.01466i | ||||
\(809\) | 17.3435 | + | 12.6008i | 0.609766 | + | 0.443021i | 0.849332 | − | 0.527859i | \(-0.177005\pi\) |
−0.239566 | + | 0.970880i | \(0.577005\pi\) | |||||||
\(810\) | 1.66813 | − | 3.68090i | 0.0586122 | − | 0.129334i | ||||
\(811\) | 19.8992 | − | 6.46564i | 0.698755 | − | 0.227039i | 0.0619670 | − | 0.998078i | \(-0.480263\pi\) |
0.636788 | + | 0.771039i | \(0.280263\pi\) | |||||||
\(812\) | 2.62866 | + | 3.61803i | 0.0922477 | + | 0.126968i | ||||
\(813\) | 27.4216 | − | 10.4741i | 0.961719 | − | 0.367344i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 5.58359i | 0.195585i | ||||||||
\(816\) | −14.7008 | − | 9.58145i | −0.514631 | − | 0.335418i | ||||
\(817\) | −5.59017 | − | 17.2048i | −0.195575 | − | 0.601919i | ||||
\(818\) | 23.6579 | + | 7.68692i | 0.827179 | + | 0.268767i | ||||
\(819\) | −6.67374 | + | 0.679108i | −0.233199 | + | 0.0237299i | ||||
\(820\) | −0.100813 | + | 0.138757i | −0.00352054 | + | 0.00484561i | ||||
\(821\) | −14.3718 | + | 44.2320i | −0.501581 | + | 1.54371i | 0.304863 | + | 0.952396i | \(0.401389\pi\) |
−0.806443 | + | 0.591311i | \(0.798611\pi\) | |||||||
\(822\) | 6.02070 | + | 7.46016i | 0.209996 | + | 0.260203i | ||||
\(823\) | −21.1353 | + | 15.3557i | −0.736729 | + | 0.535265i | −0.891685 | − | 0.452657i | \(-0.850476\pi\) |
0.154956 | + | 0.987921i | \(0.450476\pi\) | |||||||
\(824\) | −34.5811 | −1.20469 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −1.38197 | −0.0480847 | ||||||||
\(827\) | −21.0948 | + | 15.3262i | −0.733537 | + | 0.532946i | −0.890680 | − | 0.454630i | \(-0.849771\pi\) |
0.157144 | + | 0.987576i | \(0.449771\pi\) | |||||||
\(828\) | 5.81427 | − | 9.99406i | 0.202060 | − | 0.347317i | ||||
\(829\) | −1.62868 | + | 5.01255i | −0.0565663 | + | 0.174093i | −0.975348 | − | 0.220673i | \(-0.929175\pi\) |
0.918781 | + | 0.394767i | \(0.129175\pi\) | |||||||
\(830\) | −1.66987 | + | 2.29837i | −0.0579619 | + | 0.0797777i | ||||
\(831\) | 27.1261 | + | 7.31657i | 0.940995 | + | 0.253809i | ||||
\(832\) | 6.01722 | + | 1.95511i | 0.208610 | + | 0.0677814i | ||||
\(833\) | −3.24920 | − | 10.0000i | −0.112578 | − | 0.346479i | ||||
\(834\) | −15.8017 | + | 24.2445i | −0.547169 | + | 0.839520i | ||||
\(835\) | 8.05748i | 0.278841i | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 27.0344 | + | 13.9443i | 0.934447 | + | 0.481985i | ||||
\(838\) | −0.590170 | − | 0.812299i | −0.0203871 | − | 0.0280604i | ||||
\(839\) | 1.57160 | − | 0.510643i | 0.0542576 | − | 0.0176294i | −0.281762 | − | 0.959484i | \(-0.590919\pi\) |
0.336020 | + | 0.941855i | \(0.390919\pi\) | |||||||
\(840\) | −6.25856 | + | 0.317610i | −0.215941 | + | 0.0109586i | ||||
\(841\) | 18.9894 | + | 13.7966i | 0.654805 | + | 0.475744i | ||||
\(842\) | 18.2088 | + | 13.2295i | 0.627518 | + | 0.455918i | ||||
\(843\) | 46.0645 | − | 2.33768i | 1.58655 | − | 0.0805141i | ||||
\(844\) | −11.4443 | + | 3.71847i | −0.393928 | + | 0.127995i | ||||
\(845\) | 2.80017 | + | 3.85410i | 0.0963287 | + | 0.132585i | ||||
\(846\) | 19.5762 | + | 21.8868i | 0.673042 | + | 0.752484i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 4.41641i | 0.151660i | ||||||||
\(849\) | 20.2127 | − | 31.0124i | 0.693699 | − | 1.06434i | ||||
\(850\) | −7.50000 | − | 23.0826i | −0.257248 | − | 0.791728i | ||||
\(851\) | −17.7926 | − | 5.78115i | −0.609921 | − | 0.198175i | ||||
\(852\) | 5.50483 | + | 1.48479i | 0.188592 | + | 0.0508679i | ||||
\(853\) | 0.551663 | − | 0.759299i | 0.0188886 | − | 0.0259979i | −0.799468 | − | 0.600708i | \(-0.794885\pi\) |
0.818357 | + | 0.574710i | \(0.194885\pi\) | |||||||
\(854\) | −2.93893 | + | 9.04508i | −0.100568 | + | 0.309516i | ||||
\(855\) | −2.60362 | − | 1.51471i | −0.0890418 | − | 0.0518021i | ||||
\(856\) | 32.4615 | − | 23.5847i | 1.10951 | − | 0.806107i | ||||
\(857\) | −34.9646 | −1.19437 | −0.597184 | − | 0.802105i | \(-0.703714\pi\) | ||||
−0.597184 | + | 0.802105i | \(0.703714\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 43.4721 | 1.48325 | 0.741625 | − | 0.670815i | \(-0.234055\pi\) | ||||
0.741625 | + | 0.670815i | \(0.234055\pi\) | |||||||
\(860\) | 1.31433 | − | 0.954915i | 0.0448182 | − | 0.0325623i | ||||
\(861\) | −2.43236 | − | 3.01390i | −0.0828947 | − | 0.102714i | ||||
\(862\) | −2.19756 | + | 6.76340i | −0.0748492 | + | 0.230362i | ||||
\(863\) | 0.661030 | − | 0.909830i | 0.0225017 | − | 0.0309710i | −0.797618 | − | 0.603163i | \(-0.793907\pi\) |
0.820120 | + | 0.572192i | \(0.193907\pi\) | |||||||
\(864\) | 7.83769 | + | 15.5730i | 0.266644 | + | 0.529805i | ||||
\(865\) | −8.39261 | − | 2.72692i | −0.285357 | − | 0.0927182i | ||||
\(866\) | 2.17963 | + | 6.70820i | 0.0740668 | + | 0.227954i | ||||
\(867\) | 1.58190 | + | 1.03102i | 0.0537241 | + | 0.0350154i | ||||
\(868\) | − | 11.1352i | − | 0.377952i | ||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 1.70820 | − | 0.652476i | 0.0579135 | − | 0.0221210i | ||||
\(871\) | −3.12868 | − | 4.30625i | −0.106011 | − | 0.145912i | ||||
\(872\) | 13.7638 | − | 4.47214i | 0.466102 | − | 0.151446i | ||||
\(873\) | −5.30713 | − | 12.0270i | −0.179619 | − | 0.407053i | ||||
\(874\) | 15.5902 | + | 11.3269i | 0.527345 | + | 0.383139i | ||||
\(875\) | −9.37181 | − | 6.80902i | −0.316825 | − | 0.230187i | ||||
\(876\) | 0.510238 | + | 10.0543i | 0.0172393 | + | 0.339704i | ||||
\(877\) | 32.7254 | − | 10.6331i | 1.10506 | − | 0.359055i | 0.301012 | − | 0.953620i | \(-0.402676\pi\) |
0.804048 | + | 0.594565i | \(0.202676\pi\) | |||||||
\(878\) | −1.88960 | − | 2.60081i | −0.0637710 | − | 0.0877732i | ||||
\(879\) | 8.61251 | + | 22.5478i | 0.290493 | + | 0.760520i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | − | 29.9230i | − | 1.00813i | −0.863665 | − | 0.504066i | \(-0.831837\pi\) | ||
0.863665 | − | 0.504066i | \(-0.168163\pi\) | |||||||
\(882\) | 1.84090 | − | 8.52194i | 0.0619864 | − | 0.286949i | ||||
\(883\) | −12.4164 | − | 38.2138i | −0.417845 | − | 1.28600i | −0.909681 | − | 0.415308i | \(-0.863674\pi\) |
0.491836 | − | 0.870688i | \(-0.336326\pi\) | |||||||
\(884\) | −1.81636 | − | 0.590170i | −0.0610907 | − | 0.0198496i | ||||
\(885\) | 0.0658083 | − | 0.243984i | 0.00221212 | − | 0.00820142i | ||||
\(886\) | 1.05573 | − | 1.45309i | 0.0354679 | − | 0.0488173i | ||||
\(887\) | 4.30625 | − | 13.2533i | 0.144590 | − | 0.445002i | −0.852368 | − | 0.522942i | \(-0.824834\pi\) |
0.996958 | + | 0.0779403i | \(0.0248344\pi\) | |||||||
\(888\) | 12.4448 | − | 10.0436i | 0.417622 | − | 0.337040i | ||||
\(889\) | 32.0344 | − | 23.2744i | 1.07440 | − | 0.780598i | ||||
\(890\) | −0.237026 | −0.00794512 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −1.09017 | −0.0365016 | ||||||||
\(893\) | 17.7068 | − | 12.8647i | 0.592536 | − | 0.430502i | ||||
\(894\) | −20.6576 | + | 16.6717i | −0.690894 | + | 0.557584i | ||||
\(895\) | −1.64590 | + | 5.06555i | −0.0550163 | + | 0.169323i | ||||
\(896\) | −6.37988 | + | 8.78115i | −0.213137 | + | 0.293358i | ||||
\(897\) | −2.04363 | + | 7.57675i | −0.0682349 | + | 0.252980i | ||||
\(898\) | −31.1803 | − | 10.1311i | −1.04050 | − | 0.338079i | ||||
\(899\) | 4.25325 | + | 13.0902i | 0.141854 | + | 0.436582i | ||||
\(900\) | −1.90034 | + | 8.79709i | −0.0633446 | + | 0.293236i | ||||
\(901\) | − | 7.88597i | − | 0.262720i | ||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 13.0902 | + | 34.2705i | 0.435614 | + | 1.14045i | ||||
\(904\) | −3.71885 | − | 5.11855i | −0.123687 | − | 0.170241i | ||||
\(905\) | 2.82041 | − | 0.916408i | 0.0937537 | − | 0.0304624i | ||||
\(906\) | 0.577942 | + | 11.3885i | 0.0192008 | + | 0.378356i | ||||
\(907\) | 25.3992 | + | 18.4536i | 0.843366 | + | 0.612741i | 0.923309 | − | 0.384058i | \(-0.125474\pi\) |
−0.0799428 | + | 0.996799i | \(0.525474\pi\) | |||||||
\(908\) | −7.24518 | − | 5.26393i | −0.240440 | − | 0.174690i | ||||
\(909\) | 19.3096 | + | 43.7594i | 0.640459 | + | 1.45141i | ||||
\(910\) | 0.954915 | − | 0.310271i | 0.0316551 | − | 0.0102854i | ||||
\(911\) | 18.6453 | + | 25.6631i | 0.617748 | + | 0.850257i | 0.997187 | − | 0.0749598i | \(-0.0238829\pi\) |
−0.379439 | + | 0.925217i | \(0.623883\pi\) | |||||||
\(912\) | −10.1311 | + | 3.86974i | −0.335474 | + | 0.128140i | ||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 29.4721i | 0.974852i | ||||||||
\(915\) | −1.45694 | − | 0.949583i | −0.0481651 | − | 0.0313922i | ||||
\(916\) | 2.88854 | + | 8.89002i | 0.0954402 | + | 0.293735i | ||||
\(917\) | 30.4666 | + | 9.89919i | 1.00609 | + | 0.326900i | ||||
\(918\) | 11.6799 | + | 23.2073i | 0.385495 | + | 0.765956i | ||||
\(919\) | 27.2599 | − | 37.5200i | 0.899220 | − | 1.23767i | −0.0714961 | − | 0.997441i | \(-0.522777\pi\) |
0.970716 | − | 0.240229i | \(-0.0772226\pi\) | |||||||
\(920\) | −2.26538 | + | 6.97214i | −0.0746875 | + | 0.229865i | ||||
\(921\) | −10.3455 | − | 12.8189i | −0.340894 | − | 0.422397i | ||||
\(922\) | 29.2082 | − | 21.2210i | 0.961921 | − | 0.698876i | ||||
\(923\) | −3.86974 | −0.127374 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 14.5623 | 0.478806 | ||||||||
\(926\) | 31.6421 | − | 22.9894i | 1.03983 | − | 0.755477i | ||||
\(927\) | 29.1362 | + | 16.9507i | 0.956958 | + | 0.556733i | ||||
\(928\) | −2.43769 | + | 7.50245i | −0.0800212 | + | 0.246280i | ||||
\(929\) | 18.9884 | − | 26.1353i | 0.622988 | − | 0.857470i | −0.374578 | − | 0.927195i | \(-0.622212\pi\) |
0.997566 | + | 0.0697256i | \(0.0222124\pi\) | |||||||
\(930\) | −4.39587 | − | 1.18567i | −0.144146 | − | 0.0388797i | ||||
\(931\) | −6.18034 | − | 2.00811i | −0.202552 | − | 0.0658133i | ||||
\(932\) | 1.84911 | + | 5.69098i | 0.0605697 | + | 0.186414i | ||||
\(933\) | −4.72873 | + | 7.25528i | −0.154812 | + | 0.237527i | ||||
\(934\) | 8.99602i | 0.294359i | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −4.47214 | − | 5.00000i | −0.146176 | − | 0.163430i | ||||
\(937\) | 21.4828 | + | 29.5685i | 0.701812 | + | 0.965961i | 0.999935 | + | 0.0114336i | \(0.00363949\pi\) |
−0.298123 | + | 0.954528i | \(0.596361\pi\) | |||||||
\(938\) | 25.2093 | − | 8.19098i | 0.823111 | − | 0.267445i | ||||
\(939\) | −19.0281 | + | 0.965638i | −0.620958 | + | 0.0315124i | ||||
\(940\) | 1.59017 | + | 1.15533i | 0.0518656 | + | 0.0376826i | ||||
\(941\) | −28.9605 | − | 21.0410i | −0.944085 | − | 0.685918i | 0.00531578 | − | 0.999986i | \(-0.498308\pi\) |
−0.949400 | + | 0.314068i | \(0.898308\pi\) | |||||||
\(942\) | 19.7419 | − | 1.00186i | 0.643227 | − | 0.0326425i | ||||
\(943\) | −4.30902 | + | 1.40008i | −0.140321 | + | 0.0455930i | ||||
\(944\) | −0.534785 | − | 0.736068i | −0.0174058 | − | 0.0239570i | ||||
\(945\) | 5.42882 | + | 2.80017i | 0.176600 | + | 0.0910895i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | − | 17.1459i | − | 0.557167i | −0.960412 | − | 0.278583i | \(-0.910135\pi\) | ||
0.960412 | − | 0.278583i | \(-0.0898649\pi\) | |||||||
\(948\) | 2.32383 | − | 3.56545i | 0.0754745 | − | 0.115801i | ||||
\(949\) | −2.11146 | − | 6.49839i | −0.0685408 | − | 0.210947i | ||||
\(950\) | −14.2658 | − | 4.63525i | −0.462845 | − | 0.150388i | ||||
\(951\) | −7.08393 | − | 1.91071i | −0.229712 | − | 0.0619589i | ||||
\(952\) | 23.6803 | − | 32.5932i | 0.767484 | − | 1.05635i | ||||
\(953\) | −1.24108 | + | 3.81966i | −0.0402026 | + | 0.123731i | −0.969144 | − | 0.246497i | \(-0.920720\pi\) |
0.928941 | + | 0.370228i | \(0.120720\pi\) | |||||||
\(954\) | 3.28817 | − | 5.65198i | 0.106458 | − | 0.182990i | ||||
\(955\) | −7.48936 | + | 5.44134i | −0.242350 | + | 0.176078i | ||||
\(956\) | 4.76779 | 0.154201 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −23.5410 | −0.760576 | ||||||||
\(959\) | −11.7229 | + | 8.51722i | −0.378554 | + | 0.275035i | ||||
\(960\) | −3.61823 | − | 4.48330i | −0.116778 | − | 0.144698i | ||||
\(961\) | 1.01064 | − | 3.11044i | 0.0326014 | − | 0.100337i | ||||
\(962\) | −1.50609 | + | 2.07295i | −0.0485581 | + | 0.0668346i | ||||
\(963\) | −38.9109 | + | 3.95950i | −1.25389 | + | 0.127593i | ||||
\(964\) | 16.3820 | + | 5.32282i | 0.527628 | + | 0.171437i | ||||
\(965\) | 1.16306 | + | 3.57953i | 0.0374402 | + | 0.115229i | ||||
\(966\) | −32.7392 | − | 21.3382i | −1.05337 | − | 0.686545i | ||||
\(967\) | 12.9313i | 0.415842i | 0.978146 | + | 0.207921i | \(0.0666697\pi\) | ||||
−0.978146 | + | 0.207921i | \(0.933330\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 18.0902 | − | 6.90983i | 0.581140 | − | 0.221976i | ||||
\(970\) | 1.15654 | + | 1.59184i | 0.0371343 | + | 0.0511110i | ||||
\(971\) | 7.77997 | − | 2.52786i | 0.249671 | − | 0.0811230i | −0.181508 | − | 0.983389i | \(-0.558098\pi\) |
0.431179 | + | 0.902266i | \(0.358098\pi\) | |||||||
\(972\) | 0.583826 | − | 9.61649i | 0.0187262 | − | 0.308449i | ||||
\(973\) | −35.3885 | − | 25.7113i | −1.13450 | − | 0.824266i | ||||
\(974\) | 1.40008 | + | 1.01722i | 0.0448616 | + | 0.0325939i | ||||
\(975\) | −0.309593 | − | 6.10059i | −0.00991492 | − | 0.195375i | ||||
\(976\) | −5.95492 | + | 1.93487i | −0.190612 | + | 0.0619337i | ||||
\(977\) | −20.0175 | − | 27.5517i | −0.640415 | − | 0.881456i | 0.358223 | − | 0.933636i | \(-0.383383\pi\) |
−0.998638 | + | 0.0521804i | \(0.983383\pi\) | |||||||
\(978\) | −10.6206 | − | 27.8052i | −0.339610 | − | 0.889111i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | − | 0.583592i | − | 0.0186422i | ||||||
\(981\) | −13.7888 | − | 2.97864i | −0.440242 | − | 0.0951008i | ||||
\(982\) | −6.42047 | − | 19.7602i | −0.204886 | − | 0.630573i | ||||
\(983\) | −54.5002 | − | 17.7082i | −1.73829 | − | 0.564804i | −0.743682 | − | 0.668533i | \(-0.766922\pi\) |
−0.994606 | + | 0.103729i | \(0.966922\pi\) | |||||||
\(984\) | 1.00859 | − | 3.73935i | 0.0321528 | − | 0.119206i | ||||
\(985\) | 1.93363 | − | 2.66141i | 0.0616105 | − | 0.0847996i | ||||
\(986\) | −3.63271 | + | 11.1803i | −0.115689 | + | 0.356055i | ||||
\(987\) | −34.5396 | + | 27.8751i | −1.09941 | + | 0.887273i | ||||
\(988\) | −0.954915 | + | 0.693786i | −0.0303799 | + | 0.0220723i | ||||
\(989\) | 42.9161 | 1.36465 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −12.5623 | −0.399055 | −0.199527 | − | 0.979892i | \(-0.563941\pi\) | ||||
−0.199527 | + | 0.979892i | \(0.563941\pi\) | |||||||
\(992\) | 15.8904 | − | 11.5451i | 0.504522 | − | 0.366557i | ||||
\(993\) | 17.3719 | − | 14.0200i | 0.551282 | − | 0.444910i | ||||
\(994\) | 5.95492 | − | 18.3273i | 0.188878 | − | 0.581308i | ||||
\(995\) | −0.502029 | + | 0.690983i | −0.0159154 | + | 0.0219056i | ||||
\(996\) | −1.76373 | + | 6.53903i | −0.0558860 | + | 0.207197i | ||||
\(997\) | −14.0066 | − | 4.55101i | −0.443593 | − | 0.144132i | 0.0786999 | − | 0.996898i | \(-0.474923\pi\) |
−0.522293 | + | 0.852766i | \(0.674923\pi\) | |||||||
\(998\) | 13.0700 | + | 40.2254i | 0.413725 | + | 1.27331i | ||||
\(999\) | −15.4085 | + | 2.36208i | −0.487502 | + | 0.0747330i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))