Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [961,2,Mod(374,961)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(961, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("961.374");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 961 = 31^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 961.d (of order \(5\), 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: | \(7.67362363425\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{5})\) |
Coefficient field: | 8.0.64000000.2 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} + 2x^{6} + 4x^{4} + 8x^{2} + 16 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 31) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 374.1 | ||
Root | \(0.437016 - 1.34500i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 961.374 |
Dual form | 961.2.d.i.388.1 |
$q$-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 \(\left(\mathbb{Z}/961\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.335106 | − | 0.243469i | −0.236956 | − | 0.172158i | 0.462970 | − | 0.886374i | \(-0.346784\pi\) |
−0.699926 | + | 0.714215i | \(0.746784\pi\) | |||||||
\(3\) | 0.335106 | − | 0.243469i | 0.193473 | − | 0.140567i | −0.486831 | − | 0.873496i | \(-0.661847\pi\) |
0.680305 | + | 0.732929i | \(0.261847\pi\) | |||||||
\(4\) | −0.565015 | − | 1.73894i | −0.282508 | − | 0.869469i | ||||
\(5\) | 1.00000 | 0.447214 | 0.223607 | − | 0.974679i | \(-0.428217\pi\) | ||||
0.223607 | + | 0.974679i | \(0.428217\pi\) | |||||||
\(6\) | −0.171573 | −0.0700443 | ||||||||
\(7\) | −0.127999 | − | 0.393941i | −0.0483791 | − | 0.148896i | 0.923949 | − | 0.382517i | \(-0.124942\pi\) |
−0.972328 | + | 0.233621i | \(0.924942\pi\) | |||||||
\(8\) | −0.490035 | + | 1.50817i | −0.173254 | + | 0.533220i | ||||
\(9\) | −0.874032 | + | 2.68999i | −0.291344 | + | 0.896665i | ||||
\(10\) | −0.335106 | − | 0.243469i | −0.105970 | − | 0.0769915i | ||||
\(11\) | −1.00203 | − | 3.08393i | −0.302124 | − | 0.929841i | −0.980735 | − | 0.195344i | \(-0.937418\pi\) |
0.678611 | − | 0.734498i | \(-0.262582\pi\) | |||||||
\(12\) | −0.612717 | − | 0.445165i | −0.176876 | − | 0.128508i | ||||
\(13\) | −3.09726 | + | 2.25029i | −0.859026 | + | 0.624119i | −0.927620 | − | 0.373526i | \(-0.878149\pi\) |
0.0685937 | + | 0.997645i | \(0.478149\pi\) | |||||||
\(14\) | −0.0530189 | + | 0.163176i | −0.0141699 | + | 0.0436105i | ||||
\(15\) | 0.335106 | − | 0.243469i | 0.0865239 | − | 0.0628633i | ||||
\(16\) | −2.42705 | + | 1.76336i | −0.606763 | + | 0.440839i | ||||
\(17\) | 1.80108 | − | 5.54316i | 0.436827 | − | 1.34441i | −0.454376 | − | 0.890810i | \(-0.650138\pi\) |
0.891203 | − | 0.453605i | \(-0.149862\pi\) | |||||||
\(18\) | 0.947822 | − | 0.688633i | 0.223404 | − | 0.162312i | ||||
\(19\) | −3.57117 | − | 2.59461i | −0.819283 | − | 0.595244i | 0.0972237 | − | 0.995263i | \(-0.469004\pi\) |
−0.916507 | + | 0.400018i | \(0.869004\pi\) | |||||||
\(20\) | −0.565015 | − | 1.73894i | −0.126341 | − | 0.388838i | ||||
\(21\) | −0.138805 | − | 0.100848i | −0.0302898 | − | 0.0220068i | ||||
\(22\) | −0.415055 | + | 1.27741i | −0.0884900 | + | 0.272344i | ||||
\(23\) | 1.23607 | − | 3.80423i | 0.257738 | − | 0.793236i | −0.735540 | − | 0.677481i | \(-0.763071\pi\) |
0.993278 | − | 0.115755i | \(-0.0369286\pi\) | |||||||
\(24\) | 0.202979 | + | 0.624706i | 0.0414329 | + | 0.127517i | ||||
\(25\) | −4.00000 | −0.800000 | ||||||||
\(26\) | 1.58579 | 0.310998 | ||||||||
\(27\) | 0.746033 | + | 2.29605i | 0.143574 | + | 0.441876i | ||||
\(28\) | −0.612717 | + | 0.445165i | −0.115793 | + | 0.0841282i | ||||
\(29\) | −5.52431 | − | 4.01365i | −1.02584 | − | 0.745316i | −0.0583676 | − | 0.998295i | \(-0.518590\pi\) |
−0.967472 | + | 0.252979i | \(0.918590\pi\) | |||||||
\(30\) | −0.171573 | −0.0313248 | ||||||||
\(31\) | 0 | 0 | ||||||||
\(32\) | 4.41421 | 0.780330 | ||||||||
\(33\) | −1.08663 | − | 0.789481i | −0.189158 | − | 0.137431i | ||||
\(34\) | −1.95314 | + | 1.41904i | −0.334961 | + | 0.243363i | ||||
\(35\) | −0.127999 | − | 0.393941i | −0.0216358 | − | 0.0665881i | ||||
\(36\) | 5.17157 | 0.861929 | ||||||||
\(37\) | −1.00000 | −0.164399 | −0.0821995 | − | 0.996616i | \(-0.526194\pi\) | ||||
−0.0821995 | + | 0.996616i | \(0.526194\pi\) | |||||||
\(38\) | 0.565015 | + | 1.73894i | 0.0916575 | + | 0.282093i | ||||
\(39\) | −0.490035 | + | 1.50817i | −0.0784684 | + | 0.241501i | ||||
\(40\) | −0.490035 | + | 1.50817i | −0.0774813 | + | 0.238463i | ||||
\(41\) | 6.05572 | + | 4.39974i | 0.945745 | + | 0.687124i | 0.949797 | − | 0.312868i | \(-0.101290\pi\) |
−0.00405202 | + | 0.999992i | \(0.501290\pi\) | |||||||
\(42\) | 0.0219612 | + | 0.0675895i | 0.00338868 | + | 0.0104293i | ||||
\(43\) | −8.81788 | − | 6.40656i | −1.34471 | − | 0.976992i | −0.999256 | − | 0.0385571i | \(-0.987724\pi\) |
−0.345457 | − | 0.938435i | \(-0.612276\pi\) | |||||||
\(44\) | −4.79661 | + | 3.48494i | −0.723116 | + | 0.525374i | ||||
\(45\) | −0.874032 | + | 2.68999i | −0.130293 | + | 0.401001i | ||||
\(46\) | −1.34042 | + | 0.973874i | −0.197635 | + | 0.143590i | ||||
\(47\) | −7.81256 | + | 5.67616i | −1.13958 | + | 0.827953i | −0.987061 | − | 0.160348i | \(-0.948738\pi\) |
−0.152518 | + | 0.988301i | \(0.548738\pi\) | |||||||
\(48\) | −0.383997 | + | 1.18182i | −0.0554252 | + | 0.170581i | ||||
\(49\) | 5.52431 | − | 4.01365i | 0.789188 | − | 0.573378i | ||||
\(50\) | 1.34042 | + | 0.973874i | 0.189564 | + | 0.137727i | ||||
\(51\) | −0.746033 | − | 2.29605i | −0.104466 | − | 0.321512i | ||||
\(52\) | 5.66312 | + | 4.11450i | 0.785333 | + | 0.570578i | ||||
\(53\) | −1.80108 | + | 5.54316i | −0.247398 | + | 0.761412i | 0.747835 | + | 0.663885i | \(0.231093\pi\) |
−0.995233 | + | 0.0975275i | \(0.968907\pi\) | |||||||
\(54\) | 0.309017 | − | 0.951057i | 0.0420519 | − | 0.129422i | ||||
\(55\) | −1.00203 | − | 3.08393i | −0.135114 | − | 0.415838i | ||||
\(56\) | 0.656854 | 0.0877758 | ||||||||
\(57\) | −1.82843 | −0.242181 | ||||||||
\(58\) | 0.874032 | + | 2.68999i | 0.114766 | + | 0.353214i | ||||
\(59\) | −3.29356 | + | 2.39291i | −0.428785 | + | 0.311531i | −0.781163 | − | 0.624327i | \(-0.785373\pi\) |
0.352378 | + | 0.935858i | \(0.385373\pi\) | |||||||
\(60\) | −0.612717 | − | 0.445165i | −0.0791014 | − | 0.0574705i | ||||
\(61\) | 2.82843 | 0.362143 | 0.181071 | − | 0.983470i | \(-0.442043\pi\) | ||||
0.181071 | + | 0.983470i | \(0.442043\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 1.17157 | 0.147604 | ||||||||
\(64\) | 3.37487 | + | 2.45199i | 0.421859 | + | 0.306499i | ||||
\(65\) | −3.09726 | + | 2.25029i | −0.384168 | + | 0.279114i | ||||
\(66\) | 0.171921 | + | 0.529120i | 0.0211621 | + | 0.0651301i | ||||
\(67\) | 3.24264 | 0.396152 | 0.198076 | − | 0.980187i | \(-0.436531\pi\) | ||||
0.198076 | + | 0.980187i | \(0.436531\pi\) | |||||||
\(68\) | −10.6569 | −1.29233 | ||||||||
\(69\) | −0.511996 | − | 1.57576i | −0.0616371 | − | 0.189699i | ||||
\(70\) | −0.0530189 | + | 0.163176i | −0.00633697 | + | 0.0195032i | ||||
\(71\) | 0.0219612 | − | 0.0675895i | 0.00260631 | − | 0.00802140i | −0.949745 | − | 0.313025i | \(-0.898658\pi\) |
0.952351 | + | 0.305004i | \(0.0986577\pi\) | |||||||
\(72\) | −3.62867 | − | 2.63638i | −0.427643 | − | 0.310701i | ||||
\(73\) | 0.565015 | + | 1.73894i | 0.0661300 | + | 0.203527i | 0.978661 | − | 0.205479i | \(-0.0658753\pi\) |
−0.912531 | + | 0.409007i | \(0.865875\pi\) | |||||||
\(74\) | 0.335106 | + | 0.243469i | 0.0389553 | + | 0.0283027i | ||||
\(75\) | −1.34042 | + | 0.973874i | −0.154779 | + | 0.112453i | ||||
\(76\) | −2.49410 | + | 7.67604i | −0.286093 | + | 0.880502i | ||||
\(77\) | −1.08663 | + | 0.789481i | −0.123833 | + | 0.0899697i | ||||
\(78\) | 0.531406 | − | 0.386089i | 0.0601699 | − | 0.0437160i | ||||
\(79\) | 2.08814 | − | 6.42663i | 0.234934 | − | 0.723052i | −0.762196 | − | 0.647346i | \(-0.775879\pi\) |
0.997130 | − | 0.0757063i | \(-0.0241212\pi\) | |||||||
\(80\) | −2.42705 | + | 1.76336i | −0.271353 | + | 0.197149i | ||||
\(81\) | −6.05572 | − | 4.39974i | −0.672858 | − | 0.488860i | ||||
\(82\) | −0.958109 | − | 2.94876i | −0.105805 | − | 0.325636i | ||||
\(83\) | −8.14767 | − | 5.91963i | −0.894322 | − | 0.649763i | 0.0426790 | − | 0.999089i | \(-0.486411\pi\) |
−0.937001 | + | 0.349326i | \(0.886411\pi\) | |||||||
\(84\) | −0.0969413 | + | 0.298355i | −0.0105772 | + | 0.0325531i | ||||
\(85\) | 1.80108 | − | 5.54316i | 0.195355 | − | 0.601241i | ||||
\(86\) | 1.39512 | + | 4.29375i | 0.150440 | + | 0.463007i | ||||
\(87\) | −2.82843 | −0.303239 | ||||||||
\(88\) | 5.14214 | 0.548153 | ||||||||
\(89\) | −1.38603 | − | 4.26576i | −0.146919 | − | 0.452169i | 0.850334 | − | 0.526243i | \(-0.176400\pi\) |
−0.997253 | + | 0.0740741i | \(0.976400\pi\) | |||||||
\(90\) | 0.947822 | − | 0.688633i | 0.0999092 | − | 0.0725883i | ||||
\(91\) | 1.28293 | + | 0.932102i | 0.134487 | + | 0.0977108i | ||||
\(92\) | −7.31371 | −0.762507 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 4.00000 | 0.412568 | ||||||||
\(95\) | −3.57117 | − | 2.59461i | −0.366395 | − | 0.266201i | ||||
\(96\) | 1.47923 | − | 1.07472i | 0.150973 | − | 0.109688i | ||||
\(97\) | 1.59810 | + | 4.91846i | 0.162263 | + | 0.499394i | 0.998824 | − | 0.0484796i | \(-0.0154376\pi\) |
−0.836561 | + | 0.547873i | \(0.815438\pi\) | |||||||
\(98\) | −2.82843 | −0.285714 | ||||||||
\(99\) | 9.17157 | 0.921778 | ||||||||
\(100\) | 2.26006 | + | 6.95575i | 0.226006 | + | 0.695575i | ||||
\(101\) | −2.62210 | + | 8.06998i | −0.260908 | + | 0.802993i | 0.731700 | + | 0.681627i | \(0.238727\pi\) |
−0.992608 | + | 0.121366i | \(0.961273\pi\) | |||||||
\(102\) | −0.309017 | + | 0.951057i | −0.0305972 | + | 0.0941686i | ||||
\(103\) | −1.67553 | − | 1.21734i | −0.165095 | − | 0.119948i | 0.502170 | − | 0.864769i | \(-0.332535\pi\) |
−0.667265 | + | 0.744820i | \(0.732535\pi\) | |||||||
\(104\) | −1.87606 | − | 5.77393i | −0.183963 | − | 0.566180i | ||||
\(105\) | −0.138805 | − | 0.100848i | −0.0135460 | − | 0.00984176i | ||||
\(106\) | 1.95314 | − | 1.41904i | 0.189706 | − | 0.137829i | ||||
\(107\) | 3.83620 | − | 11.8066i | 0.370860 | − | 1.14139i | −0.575370 | − | 0.817893i | \(-0.695142\pi\) |
0.946230 | − | 0.323496i | \(-0.104858\pi\) | |||||||
\(108\) | 3.57117 | − | 2.59461i | 0.343636 | − | 0.249666i | ||||
\(109\) | 8.76038 | − | 6.36479i | 0.839092 | − | 0.609636i | −0.0830246 | − | 0.996547i | \(-0.526458\pi\) |
0.922117 | + | 0.386911i | \(0.126458\pi\) | |||||||
\(110\) | −0.415055 | + | 1.27741i | −0.0395739 | + | 0.121796i | ||||
\(111\) | −0.335106 | + | 0.243469i | −0.0318068 | + | 0.0231090i | ||||
\(112\) | 1.00532 | + | 0.730406i | 0.0949936 | + | 0.0690169i | ||||
\(113\) | 5.14725 | + | 15.8416i | 0.484213 | + | 1.49025i | 0.833118 | + | 0.553095i | \(0.186553\pi\) |
−0.348905 | + | 0.937158i | \(0.613447\pi\) | |||||||
\(114\) | 0.612717 | + | 0.445165i | 0.0573862 | + | 0.0416935i | ||||
\(115\) | 1.23607 | − | 3.80423i | 0.115264 | − | 0.354746i | ||||
\(116\) | −3.85816 | + | 11.8742i | −0.358222 | + | 1.10249i | ||||
\(117\) | −3.34617 | − | 10.2984i | −0.309353 | − | 0.952092i | ||||
\(118\) | 1.68629 | 0.155236 | ||||||||
\(119\) | −2.41421 | −0.221311 | ||||||||
\(120\) | 0.202979 | + | 0.624706i | 0.0185294 | + | 0.0570276i | ||||
\(121\) | 0.392601 | − | 0.285241i | 0.0356910 | − | 0.0259310i | ||||
\(122\) | −0.947822 | − | 0.688633i | −0.0858118 | − | 0.0623459i | ||||
\(123\) | 3.10051 | 0.279563 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −9.00000 | −0.804984 | ||||||||
\(126\) | −0.392601 | − | 0.285241i | −0.0349757 | − | 0.0254113i | ||||
\(127\) | 7.19984 | − | 5.23099i | 0.638883 | − | 0.464175i | −0.220583 | − | 0.975368i | \(-0.570796\pi\) |
0.859466 | + | 0.511193i | \(0.170796\pi\) | |||||||
\(128\) | −3.26209 | − | 10.0397i | −0.288331 | − | 0.887391i | ||||
\(129\) | −4.51472 | −0.397499 | ||||||||
\(130\) | 1.58579 | 0.139083 | ||||||||
\(131\) | −4.09220 | − | 12.5945i | −0.357537 | − | 1.10039i | −0.954524 | − | 0.298135i | \(-0.903635\pi\) |
0.596986 | − | 0.802251i | \(-0.296365\pi\) | |||||||
\(132\) | −0.758898 | + | 2.33565i | −0.0660536 | + | 0.203292i | ||||
\(133\) | −0.565015 | + | 1.73894i | −0.0489930 | + | 0.150785i | ||||
\(134\) | −1.08663 | − | 0.789481i | −0.0938703 | − | 0.0682008i | ||||
\(135\) | 0.746033 | + | 2.29605i | 0.0642083 | + | 0.197613i | ||||
\(136\) | 7.47745 | + | 5.43269i | 0.641186 | + | 0.465849i | ||||
\(137\) | 7.67375 | − | 5.57531i | 0.655613 | − | 0.476331i | −0.209566 | − | 0.977795i | \(-0.567205\pi\) |
0.865179 | + | 0.501464i | \(0.167205\pi\) | |||||||
\(138\) | −0.212076 | + | 0.652702i | −0.0180531 | + | 0.0555617i | ||||
\(139\) | 0 | 0 | −0.587785 | − | 0.809017i | \(-0.700000\pi\) | ||||
0.587785 | + | 0.809017i | \(0.300000\pi\) | |||||||
\(140\) | −0.612717 | + | 0.445165i | −0.0517840 | + | 0.0376233i | ||||
\(141\) | −1.23607 | + | 3.80423i | −0.104096 | + | 0.320374i | ||||
\(142\) | −0.0238152 | + | 0.0173028i | −0.00199853 | + | 0.00145202i | ||||
\(143\) | 10.0433 | + | 7.29689i | 0.839864 | + | 0.610197i | ||||
\(144\) | −2.62210 | − | 8.06998i | −0.218508 | − | 0.672499i | ||||
\(145\) | −5.52431 | − | 4.01365i | −0.458769 | − | 0.333315i | ||||
\(146\) | 0.234037 | − | 0.720292i | 0.0193690 | − | 0.0596117i | ||||
\(147\) | 0.874032 | − | 2.68999i | 0.0720889 | − | 0.221867i | ||||
\(148\) | 0.565015 | + | 1.73894i | 0.0464440 | + | 0.142940i | ||||
\(149\) | 1.00000 | 0.0819232 | 0.0409616 | − | 0.999161i | \(-0.486958\pi\) | ||||
0.0409616 | + | 0.999161i | \(0.486958\pi\) | |||||||
\(150\) | 0.686292 | 0.0560355 | ||||||||
\(151\) | −1.64203 | − | 5.05364i | −0.133626 | − | 0.411259i | 0.861748 | − | 0.507337i | \(-0.169370\pi\) |
−0.995374 | + | 0.0960781i | \(0.969370\pi\) | |||||||
\(152\) | 5.66312 | − | 4.11450i | 0.459340 | − | 0.333730i | ||||
\(153\) | 13.3369 | + | 9.68981i | 1.07822 | + | 0.783374i | ||||
\(154\) | 0.556349 | 0.0448319 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 2.89949 | 0.232145 | ||||||||
\(157\) | −7.41996 | − | 5.39092i | −0.592177 | − | 0.430242i | 0.250916 | − | 0.968009i | \(-0.419268\pi\) |
−0.843094 | + | 0.537767i | \(0.819268\pi\) | |||||||
\(158\) | −2.26443 | + | 1.64520i | −0.180148 | + | 0.130885i | ||||
\(159\) | 0.746033 | + | 2.29605i | 0.0591643 | + | 0.182089i | ||||
\(160\) | 4.41421 | 0.348974 | ||||||||
\(161\) | −1.65685 | −0.130578 | ||||||||
\(162\) | 0.958109 | + | 2.94876i | 0.0752761 | + | 0.231676i | ||||
\(163\) | 6.48026 | − | 19.9442i | 0.507573 | − | 1.56215i | −0.288828 | − | 0.957381i | \(-0.593266\pi\) |
0.796401 | − | 0.604769i | \(-0.206734\pi\) | |||||||
\(164\) | 4.22930 | − | 13.0164i | 0.330253 | − | 1.01641i | ||||
\(165\) | −1.08663 | − | 0.789481i | −0.0845939 | − | 0.0614610i | ||||
\(166\) | 1.28909 | + | 3.96740i | 0.100053 | + | 0.307930i | ||||
\(167\) | 18.2485 | + | 13.2583i | 1.41211 | + | 1.02596i | 0.993012 | + | 0.118016i | \(0.0376534\pi\) |
0.419097 | + | 0.907941i | \(0.362347\pi\) | |||||||
\(168\) | 0.220116 | − | 0.159923i | 0.0169823 | − | 0.0123384i | ||||
\(169\) | 0.511996 | − | 1.57576i | 0.0393843 | − | 0.121212i | ||||
\(170\) | −1.95314 | + | 1.41904i | −0.149799 | + | 0.108835i | ||||
\(171\) | 10.1008 | − | 7.33866i | 0.772428 | − | 0.561202i | ||||
\(172\) | −6.15838 | + | 18.9535i | −0.469572 | + | 1.44519i | ||||
\(173\) | −6.72593 | + | 4.88668i | −0.511363 | + | 0.371527i | −0.813340 | − | 0.581788i | \(-0.802353\pi\) |
0.301977 | + | 0.953315i | \(0.402353\pi\) | |||||||
\(174\) | 0.947822 | + | 0.688633i | 0.0718542 | + | 0.0522052i | ||||
\(175\) | 0.511996 | + | 1.57576i | 0.0387033 | + | 0.119116i | ||||
\(176\) | 7.87005 | + | 5.71793i | 0.593228 | + | 0.431005i | ||||
\(177\) | −0.521093 | + | 1.60376i | −0.0391677 | + | 0.120546i | ||||
\(178\) | −0.574112 | + | 1.76693i | −0.0430315 | + | 0.132437i | ||||
\(179\) | 4.71024 | + | 14.4966i | 0.352059 | + | 1.08353i | 0.957695 | + | 0.287785i | \(0.0929190\pi\) |
−0.605635 | + | 0.795742i | \(0.707081\pi\) | |||||||
\(180\) | 5.17157 | 0.385466 | ||||||||
\(181\) | −12.3137 | −0.915271 | −0.457635 | − | 0.889140i | \(-0.651303\pi\) | ||||
−0.457635 | + | 0.889140i | \(0.651303\pi\) | |||||||
\(182\) | −0.202979 | − | 0.624706i | −0.0150458 | − | 0.0463063i | ||||
\(183\) | 0.947822 | − | 0.688633i | 0.0700650 | − | 0.0509052i | ||||
\(184\) | 5.13171 | + | 3.72841i | 0.378315 | + | 0.274862i | ||||
\(185\) | −1.00000 | −0.0735215 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −18.8995 | −1.38207 | ||||||||
\(188\) | 14.2847 | + | 10.3784i | 1.04182 | + | 0.756925i | ||||
\(189\) | 0.809017 | − | 0.587785i | 0.0588473 | − | 0.0427551i | ||||
\(190\) | 0.565015 | + | 1.73894i | 0.0409905 | + | 0.126156i | ||||
\(191\) | −20.8995 | −1.51223 | −0.756117 | − | 0.654436i | \(-0.772906\pi\) | ||||
−0.756117 | + | 0.654436i | \(0.772906\pi\) | |||||||
\(192\) | 1.72792 | 0.124702 | ||||||||
\(193\) | 2.20704 | + | 6.79257i | 0.158866 | + | 0.488940i | 0.998532 | − | 0.0541632i | \(-0.0172491\pi\) |
−0.839666 | + | 0.543103i | \(0.817249\pi\) | |||||||
\(194\) | 0.661956 | − | 2.03729i | 0.0475257 | − | 0.146269i | ||||
\(195\) | −0.490035 | + | 1.50817i | −0.0350921 | + | 0.108002i | ||||
\(196\) | −10.1008 | − | 7.33866i | −0.721486 | − | 0.524190i | ||||
\(197\) | 4.16718 | + | 12.8253i | 0.296899 | + | 0.913762i | 0.982577 | + | 0.185857i | \(0.0595061\pi\) |
−0.685677 | + | 0.727905i | \(0.740494\pi\) | |||||||
\(198\) | −3.07345 | − | 2.23299i | −0.218420 | − | 0.158692i | ||||
\(199\) | 14.8974 | − | 10.8236i | 1.05605 | − | 0.767265i | 0.0826961 | − | 0.996575i | \(-0.473647\pi\) |
0.973353 | + | 0.229310i | \(0.0736469\pi\) | |||||||
\(200\) | 1.96014 | − | 6.03269i | 0.138603 | − | 0.426576i | ||||
\(201\) | 1.08663 | − | 0.789481i | 0.0766448 | − | 0.0556857i | ||||
\(202\) | 2.84347 | − | 2.06590i | 0.200066 | − | 0.145356i | ||||
\(203\) | −0.874032 | + | 2.68999i | −0.0613450 | + | 0.188801i | ||||
\(204\) | −3.57117 | + | 2.59461i | −0.250032 | + | 0.181659i | ||||
\(205\) | 6.05572 | + | 4.39974i | 0.422950 | + | 0.307291i | ||||
\(206\) | 0.265095 | + | 0.815878i | 0.0184700 | + | 0.0568449i | ||||
\(207\) | 9.15298 | + | 6.65003i | 0.636176 | + | 0.462209i | ||||
\(208\) | 3.54915 | − | 10.9232i | 0.246089 | − | 0.757384i | ||||
\(209\) | −4.42318 | + | 13.6131i | −0.305958 | + | 0.941641i | ||||
\(210\) | 0.0219612 | + | 0.0675895i | 0.00151546 | + | 0.00466412i | ||||
\(211\) | 10.4142 | 0.716944 | 0.358472 | − | 0.933540i | \(-0.383298\pi\) | ||||
0.358472 | + | 0.933540i | \(0.383298\pi\) | |||||||
\(212\) | 10.6569 | 0.731916 | ||||||||
\(213\) | −0.00909661 | − | 0.0279965i | −0.000623290 | − | 0.00191829i | ||||
\(214\) | −4.16008 | + | 3.02247i | −0.284377 | + | 0.206612i | ||||
\(215\) | −8.81788 | − | 6.40656i | −0.601374 | − | 0.436924i | ||||
\(216\) | −3.82843 | −0.260491 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −4.48528 | −0.303782 | ||||||||
\(219\) | 0.612717 | + | 0.445165i | 0.0414035 | + | 0.0300814i | ||||
\(220\) | −4.79661 | + | 3.48494i | −0.323387 | + | 0.234955i | ||||
\(221\) | 6.89532 | + | 21.2216i | 0.463829 | + | 1.42752i | ||||
\(222\) | 0.171573 | 0.0115152 | ||||||||
\(223\) | 23.7279 | 1.58894 | 0.794470 | − | 0.607304i | \(-0.207749\pi\) | ||||
0.794470 | + | 0.607304i | \(0.207749\pi\) | |||||||
\(224\) | −0.565015 | − | 1.73894i | −0.0377517 | − | 0.116188i | ||||
\(225\) | 3.49613 | − | 10.7600i | 0.233075 | − | 0.717332i | ||||
\(226\) | 2.13206 | − | 6.56181i | 0.141823 | − | 0.436485i | ||||
\(227\) | 14.8974 | + | 10.8236i | 0.988776 | + | 0.718388i | 0.959653 | − | 0.281188i | \(-0.0907285\pi\) |
0.0291233 | + | 0.999576i | \(0.490728\pi\) | |||||||
\(228\) | 1.03309 | + | 3.17952i | 0.0684180 | + | 0.210569i | ||||
\(229\) | −4.43769 | − | 3.22417i | −0.293251 | − | 0.213059i | 0.431426 | − | 0.902148i | \(-0.358011\pi\) |
−0.724676 | + | 0.689089i | \(0.758011\pi\) | |||||||
\(230\) | −1.34042 | + | 0.973874i | −0.0883849 | + | 0.0642154i | ||||
\(231\) | −0.171921 | + | 0.529120i | −0.0113116 | + | 0.0348135i | ||||
\(232\) | 8.76038 | − | 6.36479i | 0.575147 | − | 0.417869i | ||||
\(233\) | 7.41996 | − | 5.39092i | 0.486098 | − | 0.353171i | −0.317584 | − | 0.948230i | \(-0.602872\pi\) |
0.803682 | + | 0.595060i | \(0.202872\pi\) | |||||||
\(234\) | −1.38603 | + | 4.26576i | −0.0906075 | + | 0.278861i | ||||
\(235\) | −7.81256 | + | 5.67616i | −0.509635 | + | 0.370272i | ||||
\(236\) | 6.02204 | + | 4.37527i | 0.392001 | + | 0.284806i | ||||
\(237\) | −0.864935 | − | 2.66200i | −0.0561836 | − | 0.172915i | ||||
\(238\) | 0.809017 | + | 0.587785i | 0.0524408 | + | 0.0381005i | ||||
\(239\) | 6.56434 | − | 20.2030i | 0.424612 | − | 1.30682i | −0.478754 | − | 0.877949i | \(-0.658911\pi\) |
0.903366 | − | 0.428871i | \(-0.141089\pi\) | |||||||
\(240\) | −0.383997 | + | 1.18182i | −0.0247869 | + | 0.0762863i | ||||
\(241\) | −4.12326 | − | 12.6901i | −0.265602 | − | 0.817440i | −0.991554 | − | 0.129694i | \(-0.958600\pi\) |
0.725952 | − | 0.687746i | \(-0.241400\pi\) | |||||||
\(242\) | −0.201010 | −0.0129214 | ||||||||
\(243\) | −10.3431 | −0.663513 | ||||||||
\(244\) | −1.59810 | − | 4.91846i | −0.102308 | − | 0.314872i | ||||
\(245\) | 5.52431 | − | 4.01365i | 0.352935 | − | 0.256423i | ||||
\(246\) | −1.03900 | − | 0.754876i | −0.0662440 | − | 0.0481291i | ||||
\(247\) | 16.8995 | 1.07529 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −4.17157 | −0.264363 | ||||||||
\(250\) | 3.01595 | + | 2.19122i | 0.190746 | + | 0.138585i | ||||
\(251\) | 5.18921 | − | 3.77018i | 0.327540 | − | 0.237972i | −0.411846 | − | 0.911253i | \(-0.635116\pi\) |
0.739386 | + | 0.673282i | \(0.235116\pi\) | |||||||
\(252\) | −0.661956 | − | 2.03729i | −0.0416993 | − | 0.128337i | ||||
\(253\) | −12.9706 | −0.815452 | ||||||||
\(254\) | −3.68629 | −0.231299 | ||||||||
\(255\) | −0.746033 | − | 2.29605i | −0.0467184 | − | 0.143784i | ||||
\(256\) | 1.22697 | − | 3.77623i | 0.0766857 | − | 0.236014i | ||||
\(257\) | 6.89532 | − | 21.2216i | 0.430118 | − | 1.32377i | −0.467890 | − | 0.883787i | \(-0.654986\pi\) |
0.898008 | − | 0.439980i | \(-0.145014\pi\) | |||||||
\(258\) | 1.51291 | + | 1.09919i | 0.0941896 | + | 0.0684327i | ||||
\(259\) | 0.127999 | + | 0.393941i | 0.00795347 | + | 0.0244783i | ||||
\(260\) | 5.66312 | + | 4.11450i | 0.351212 | + | 0.255170i | ||||
\(261\) | 15.6251 | − | 11.3523i | 0.967171 | − | 0.702691i | ||||
\(262\) | −1.69505 | + | 5.21681i | −0.104720 | + | 0.322296i | ||||
\(263\) | −18.8612 | + | 13.7035i | −1.16303 | + | 0.844991i | −0.990158 | − | 0.139953i | \(-0.955305\pi\) |
−0.172872 | + | 0.984944i | \(0.555305\pi\) | |||||||
\(264\) | 1.72316 | − | 1.25195i | 0.106053 | − | 0.0770521i | ||||
\(265\) | −1.80108 | + | 5.54316i | −0.110640 | + | 0.340514i | ||||
\(266\) | 0.612717 | − | 0.445165i | 0.0375681 | − | 0.0272948i | ||||
\(267\) | −1.50304 | − | 1.09203i | −0.0919848 | − | 0.0668309i | ||||
\(268\) | −1.83214 | − | 5.63875i | −0.111916 | − | 0.344441i | ||||
\(269\) | −21.1732 | − | 15.3833i | −1.29096 | − | 0.937934i | −0.291131 | − | 0.956683i | \(-0.594032\pi\) |
−0.999824 | + | 0.0187489i | \(0.994032\pi\) | |||||||
\(270\) | 0.309017 | − | 0.951057i | 0.0188062 | − | 0.0578795i | ||||
\(271\) | 0.212076 | − | 0.652702i | 0.0128827 | − | 0.0396488i | −0.944409 | − | 0.328774i | \(-0.893364\pi\) |
0.957291 | + | 0.289125i | \(0.0933645\pi\) | |||||||
\(272\) | 5.40325 | + | 16.6295i | 0.327620 | + | 1.00831i | ||||
\(273\) | 0.656854 | 0.0397546 | ||||||||
\(274\) | −3.92893 | −0.237355 | ||||||||
\(275\) | 4.00812 | + | 12.3357i | 0.241699 | + | 0.743873i | ||||
\(276\) | −2.45087 | + | 1.78066i | −0.147525 | + | 0.107183i | ||||
\(277\) | 11.4412 | + | 8.31254i | 0.687437 | + | 0.499452i | 0.875817 | − | 0.482644i | \(-0.160324\pi\) |
−0.188380 | + | 0.982096i | \(0.560324\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.656854 | 0.0392545 | ||||||||
\(281\) | −1.61803 | − | 1.17557i | −0.0965238 | − | 0.0701287i | 0.538477 | − | 0.842641i | \(-0.319000\pi\) |
−0.635000 | + | 0.772512i | \(0.719000\pi\) | |||||||
\(282\) | 1.34042 | − | 0.973874i | 0.0798210 | − | 0.0579934i | ||||
\(283\) | −4.22020 | − | 12.9884i | −0.250865 | − | 0.772083i | −0.994616 | − | 0.103626i | \(-0.966955\pi\) |
0.743751 | − | 0.668456i | \(-0.233045\pi\) | |||||||
\(284\) | −0.129942 | −0.00771066 | ||||||||
\(285\) | −1.82843 | −0.108307 | ||||||||
\(286\) | −1.58901 | − | 4.89046i | −0.0939600 | − | 0.289179i | ||||
\(287\) | 0.958109 | − | 2.94876i | 0.0565554 | − | 0.174060i | ||||
\(288\) | −3.85816 | + | 11.8742i | −0.227345 | + | 0.699694i | ||||
\(289\) | −13.7295 | − | 9.97505i | −0.807616 | − | 0.586767i | ||||
\(290\) | 0.874032 | + | 2.68999i | 0.0513249 | + | 0.157962i | ||||
\(291\) | 1.73302 | + | 1.25912i | 0.101592 | + | 0.0738107i | ||||
\(292\) | 2.70466 | − | 1.96505i | 0.158278 | − | 0.114996i | ||||
\(293\) | 4.57314 | − | 14.0747i | 0.267166 | − | 0.822251i | −0.724021 | − | 0.689778i | \(-0.757708\pi\) |
0.991187 | − | 0.132473i | \(-0.0422919\pi\) | |||||||
\(294\) | −0.947822 | + | 0.688633i | −0.0552781 | + | 0.0401619i | ||||
\(295\) | −3.29356 | + | 2.39291i | −0.191759 | + | 0.139321i | ||||
\(296\) | 0.490035 | − | 1.50817i | 0.0284827 | − | 0.0876607i | ||||
\(297\) | 6.33333 | − | 4.60143i | 0.367497 | − | 0.267002i | ||||
\(298\) | −0.335106 | − | 0.243469i | −0.0194122 | − | 0.0141038i | ||||
\(299\) | 4.73220 | + | 14.5642i | 0.273670 | + | 0.842270i | ||||
\(300\) | 2.45087 | + | 1.78066i | 0.141501 | + | 0.102806i | ||||
\(301\) | −1.39512 | + | 4.29375i | −0.0804137 | + | 0.247488i | ||||
\(302\) | −0.680150 | + | 2.09329i | −0.0391382 | + | 0.120455i | ||||
\(303\) | 1.08611 | + | 3.34270i | 0.0623953 | + | 0.192033i | ||||
\(304\) | 13.2426 | 0.759518 | ||||||||
\(305\) | 2.82843 | 0.161955 | ||||||||
\(306\) | −2.11010 | − | 6.49422i | −0.120626 | − | 0.371250i | ||||
\(307\) | 9.09549 | − | 6.60826i | 0.519107 | − | 0.377153i | −0.297160 | − | 0.954828i | \(-0.596040\pi\) |
0.816267 | + | 0.577674i | \(0.196040\pi\) | |||||||
\(308\) | 1.98682 | + | 1.44351i | 0.113210 | + | 0.0822516i | ||||
\(309\) | −0.857864 | −0.0488022 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 11.3137 | 0.641542 | 0.320771 | − | 0.947157i | \(-0.396058\pi\) | ||||
0.320771 | + | 0.947157i | \(0.396058\pi\) | |||||||
\(312\) | −2.03445 | − | 1.47811i | −0.115178 | − | 0.0836818i | ||||
\(313\) | −1.47923 | + | 1.07472i | −0.0836109 | + | 0.0607469i | −0.628805 | − | 0.777563i | \(-0.716456\pi\) |
0.545194 | + | 0.838310i | \(0.316456\pi\) | |||||||
\(314\) | 1.17395 | + | 3.61305i | 0.0662500 | + | 0.203896i | ||||
\(315\) | 1.17157 | 0.0660107 | ||||||||
\(316\) | −12.3553 | −0.695042 | ||||||||
\(317\) | −2.41912 | − | 7.44528i | −0.135871 | − | 0.418168i | 0.859853 | − | 0.510541i | \(-0.170555\pi\) |
−0.995725 | + | 0.0923727i | \(0.970555\pi\) | |||||||
\(318\) | 0.309017 | − | 0.951057i | 0.0173288 | − | 0.0533326i | ||||
\(319\) | −6.84230 | + | 21.0584i | −0.383095 | + | 1.17905i | ||||
\(320\) | 3.37487 | + | 2.45199i | 0.188661 | + | 0.137070i | ||||
\(321\) | −1.58901 | − | 4.89046i | −0.0886897 | − | 0.272959i | ||||
\(322\) | 0.555221 | + | 0.403392i | 0.0309413 | + | 0.0224802i | ||||
\(323\) | −20.8143 | + | 15.1225i | −1.15814 | + | 0.841438i | ||||
\(324\) | −4.22930 | + | 13.0164i | −0.234961 | + | 0.723135i | ||||
\(325\) | 12.3891 | − | 9.00117i | 0.687221 | − | 0.499295i | ||||
\(326\) | −7.02736 | + | 5.10567i | −0.389209 | + | 0.282777i | ||||
\(327\) | 1.38603 | − | 4.26576i | 0.0766475 | − | 0.235897i | ||||
\(328\) | −9.60308 | + | 6.97704i | −0.530241 | + | 0.385243i | ||||
\(329\) | 3.23607 | + | 2.35114i | 0.178410 | + | 0.129623i | ||||
\(330\) | 0.171921 | + | 0.529120i | 0.00946396 | + | 0.0291271i | ||||
\(331\) | 7.47745 | + | 5.43269i | 0.410998 | + | 0.298608i | 0.774006 | − | 0.633179i | \(-0.218250\pi\) |
−0.363008 | + | 0.931786i | \(0.618250\pi\) | |||||||
\(332\) | −5.69030 | + | 17.5130i | −0.312296 | + | 0.961148i | ||||
\(333\) | 0.874032 | − | 2.68999i | 0.0478967 | − | 0.147411i | ||||
\(334\) | −2.88719 | − | 8.88586i | −0.157980 | − | 0.486213i | ||||
\(335\) | 3.24264 | 0.177164 | ||||||||
\(336\) | 0.514719 | 0.0280802 | ||||||||
\(337\) | −2.87809 | − | 8.85786i | −0.156780 | − | 0.482519i | 0.841557 | − | 0.540168i | \(-0.181639\pi\) |
−0.998337 | + | 0.0576496i | \(0.981639\pi\) | |||||||
\(338\) | −0.555221 | + | 0.403392i | −0.0302001 | + | 0.0219416i | ||||
\(339\) | 5.58181 | + | 4.05542i | 0.303162 | + | 0.220260i | ||||
\(340\) | −10.6569 | −0.577949 | ||||||||
\(341\) | 0 | 0 | ||||||||
\(342\) | −5.17157 | −0.279647 | ||||||||
\(343\) | −4.63399 | − | 3.36679i | −0.250212 | − | 0.181789i | ||||
\(344\) | 13.9833 | − | 10.1594i | 0.753927 | − | 0.547760i | ||||
\(345\) | −0.511996 | − | 1.57576i | −0.0275649 | − | 0.0848362i | ||||
\(346\) | 3.44365 | 0.185132 | ||||||||
\(347\) | 8.55635 | 0.459329 | 0.229664 | − | 0.973270i | \(-0.426237\pi\) | ||||
0.229664 | + | 0.973270i | \(0.426237\pi\) | |||||||
\(348\) | 1.59810 | + | 4.91846i | 0.0856674 | + | 0.263657i | ||||
\(349\) | −8.37828 | + | 25.7857i | −0.448479 | + | 1.38028i | 0.430143 | + | 0.902761i | \(0.358463\pi\) |
−0.878623 | + | 0.477517i | \(0.841537\pi\) | |||||||
\(350\) | 0.212076 | − | 0.652702i | 0.0113359 | − | 0.0348884i | ||||
\(351\) | −7.47745 | − | 5.43269i | −0.399117 | − | 0.289975i | ||||
\(352\) | −4.42318 | − | 13.6131i | −0.235756 | − | 0.725583i | ||||
\(353\) | 2.42705 | + | 1.76336i | 0.129179 | + | 0.0938540i | 0.650498 | − | 0.759508i | \(-0.274560\pi\) |
−0.521320 | + | 0.853362i | \(0.674560\pi\) | |||||||
\(354\) | 0.565086 | − | 0.410559i | 0.0300340 | − | 0.0218210i | ||||
\(355\) | 0.0219612 | − | 0.0675895i | 0.00116558 | − | 0.00358728i | ||||
\(356\) | −6.63476 | + | 4.82043i | −0.351641 | + | 0.255482i | ||||
\(357\) | −0.809017 | + | 0.587785i | −0.0428177 | + | 0.0311089i | ||||
\(358\) | 1.95104 | − | 6.00469i | 0.103116 | − | 0.317358i | ||||
\(359\) | −5.74443 | + | 4.17357i | −0.303179 | + | 0.220273i | −0.728964 | − | 0.684552i | \(-0.759998\pi\) |
0.425785 | + | 0.904824i | \(0.359998\pi\) | |||||||
\(360\) | −3.62867 | − | 2.63638i | −0.191248 | − | 0.138950i | ||||
\(361\) | 0.149960 | + | 0.461530i | 0.00789264 | + | 0.0242911i | ||||
\(362\) | 4.12640 | + | 2.99800i | 0.216879 | + | 0.157571i | ||||
\(363\) | 0.0621155 | − | 0.191172i | 0.00326022 | − | 0.0100339i | ||||
\(364\) | 0.895993 | − | 2.75758i | 0.0469628 | − | 0.144537i | ||||
\(365\) | 0.565015 | + | 1.73894i | 0.0295742 | + | 0.0910202i | ||||
\(366\) | −0.485281 | −0.0253661 | ||||||||
\(367\) | 24.2132 | 1.26392 | 0.631959 | − | 0.775001i | \(-0.282251\pi\) | ||||
0.631959 | + | 0.775001i | \(0.282251\pi\) | |||||||
\(368\) | 3.70820 | + | 11.4127i | 0.193303 | + | 0.594927i | ||||
\(369\) | −17.1282 | + | 12.4443i | −0.891657 | + | 0.647826i | ||||
\(370\) | 0.335106 | + | 0.243469i | 0.0174213 | + | 0.0126573i | ||||
\(371\) | 2.41421 | 0.125340 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 10.0000 | 0.517780 | 0.258890 | − | 0.965907i | \(-0.416643\pi\) | ||||
0.258890 | + | 0.965907i | \(0.416643\pi\) | |||||||
\(374\) | 6.33333 | + | 4.60143i | 0.327489 | + | 0.237934i | ||||
\(375\) | −3.01595 | + | 2.19122i | −0.155743 | + | 0.113154i | ||||
\(376\) | −4.73220 | − | 14.5642i | −0.244044 | − | 0.751091i | ||||
\(377\) | 26.1421 | 1.34639 | ||||||||
\(378\) | −0.414214 | −0.0213048 | ||||||||
\(379\) | 2.28202 | + | 7.02334i | 0.117220 | + | 0.360765i | 0.992403 | − | 0.123026i | \(-0.0392597\pi\) |
−0.875184 | + | 0.483790i | \(0.839260\pi\) | |||||||
\(380\) | −2.49410 | + | 7.67604i | −0.127944 | + | 0.393773i | ||||
\(381\) | 1.13913 | − | 3.50587i | 0.0583592 | − | 0.179611i | ||||
\(382\) | 7.00354 | + | 5.08837i | 0.358332 | + | 0.260344i | ||||
\(383\) | −1.57614 | − | 4.85087i | −0.0805371 | − | 0.247868i | 0.902678 | − | 0.430316i | \(-0.141598\pi\) |
−0.983215 | + | 0.182448i | \(0.941598\pi\) | |||||||
\(384\) | −3.53749 | − | 2.57014i | −0.180522 | − | 0.131157i | ||||
\(385\) | −1.08663 | + | 0.789481i | −0.0553797 | + | 0.0402357i | ||||
\(386\) | 0.914186 | − | 2.81358i | 0.0465309 | − | 0.143207i | ||||
\(387\) | 24.9407 | − | 18.1205i | 1.26781 | − | 0.921117i | ||||
\(388\) | 7.64994 | − | 5.55801i | 0.388367 | − | 0.282165i | ||||
\(389\) | 3.44311 | − | 10.5968i | 0.174573 | − | 0.537279i | −0.825041 | − | 0.565073i | \(-0.808848\pi\) |
0.999614 | + | 0.0277936i | \(0.00884811\pi\) | |||||||
\(390\) | 0.531406 | − | 0.386089i | 0.0269088 | − | 0.0195504i | ||||
\(391\) | −18.8612 | − | 13.7035i | −0.953851 | − | 0.693013i | ||||
\(392\) | 3.34617 | + | 10.2984i | 0.169007 | + | 0.520150i | ||||
\(393\) | −4.43769 | − | 3.22417i | −0.223852 | − | 0.162638i | ||||
\(394\) | 1.72610 | − | 5.31240i | 0.0869598 | − | 0.267635i | ||||
\(395\) | 2.08814 | − | 6.42663i | 0.105066 | − | 0.323359i | ||||
\(396\) | −5.18208 | − | 15.9488i | −0.260409 | − | 0.801457i | ||||
\(397\) | −33.4853 | −1.68058 | −0.840289 | − | 0.542139i | \(-0.817615\pi\) | ||||
−0.840289 | + | 0.542139i | \(0.817615\pi\) | |||||||
\(398\) | −7.62742 | −0.382328 | ||||||||
\(399\) | 0.234037 | + | 0.720292i | 0.0117165 | + | 0.0360597i | ||||
\(400\) | 9.70820 | − | 7.05342i | 0.485410 | − | 0.352671i | ||||
\(401\) | −21.7047 | − | 15.7694i | −1.08388 | − | 0.787484i | −0.105524 | − | 0.994417i | \(-0.533652\pi\) |
−0.978355 | + | 0.206933i | \(0.933652\pi\) | |||||||
\(402\) | −0.556349 | −0.0277482 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 15.5147 | 0.771886 | ||||||||
\(405\) | −6.05572 | − | 4.39974i | −0.300911 | − | 0.218625i | ||||
\(406\) | 0.947822 | − | 0.688633i | 0.0470396 | − | 0.0341763i | ||||
\(407\) | 1.00203 | + | 3.08393i | 0.0496688 | + | 0.152865i | ||||
\(408\) | 3.82843 | 0.189535 | ||||||||
\(409\) | −20.6569 | −1.02142 | −0.510708 | − | 0.859754i | \(-0.670617\pi\) | ||||
−0.510708 | + | 0.859754i | \(0.670617\pi\) | |||||||
\(410\) | −0.958109 | − | 2.94876i | −0.0473176 | − | 0.145629i | ||||
\(411\) | 1.21411 | − | 3.73664i | 0.0598875 | − | 0.184315i | ||||
\(412\) | −1.17018 | + | 3.60146i | −0.0576509 | + | 0.177431i | ||||
\(413\) | 1.36424 | + | 0.991177i | 0.0671298 | + | 0.0487726i | ||||
\(414\) | −1.44814 | − | 4.45693i | −0.0711724 | − | 0.219046i | ||||
\(415\) | −8.14767 | − | 5.91963i | −0.399953 | − | 0.290583i | ||||
\(416\) | −13.6720 | + | 9.93327i | −0.670324 | + | 0.487019i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 4.79661 | − | 3.48494i | 0.234610 | − | 0.170454i | ||||
\(419\) | −22.6525 | + | 16.4580i | −1.10665 | + | 0.804025i | −0.982132 | − | 0.188193i | \(-0.939737\pi\) |
−0.124514 | + | 0.992218i | \(0.539737\pi\) | |||||||
\(420\) | −0.0969413 | + | 0.298355i | −0.00473025 | + | 0.0145582i | ||||
\(421\) | 25.1945 | − | 18.3049i | 1.22791 | − | 0.892126i | 0.231174 | − | 0.972912i | \(-0.425743\pi\) |
0.996731 | + | 0.0807867i | \(0.0257433\pi\) | |||||||
\(422\) | −3.48986 | − | 2.53553i | −0.169884 | − | 0.123428i | ||||
\(423\) | −8.44040 | − | 25.9769i | −0.410386 | − | 1.26304i | ||||
\(424\) | −7.47745 | − | 5.43269i | −0.363137 | − | 0.263835i | ||||
\(425\) | −7.20433 | + | 22.1727i | −0.349461 | + | 1.07553i | ||||
\(426\) | −0.00376794 | + | 0.0115965i | −0.000182557 | + | 0.000561854i | ||||
\(427\) | −0.362036 | − | 1.11423i | −0.0175201 | − | 0.0539215i | ||||
\(428\) | −22.6985 | −1.09717 | ||||||||
\(429\) | 5.14214 | 0.248265 | ||||||||
\(430\) | 1.39512 | + | 4.29375i | 0.0672789 | + | 0.207063i | ||||
\(431\) | 13.5570 | − | 9.84973i | 0.653017 | − | 0.474445i | −0.211280 | − | 0.977425i | \(-0.567763\pi\) |
0.864298 | + | 0.502981i | \(0.167763\pi\) | |||||||
\(432\) | −5.85942 | − | 4.25712i | −0.281911 | − | 0.204821i | ||||
\(433\) | −27.1127 | −1.30295 | −0.651477 | − | 0.758669i | \(-0.725850\pi\) | ||||
−0.651477 | + | 0.758669i | \(0.725850\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −2.82843 | −0.135613 | ||||||||
\(436\) | −16.0177 | − | 11.6376i | −0.767110 | − | 0.557338i | ||||
\(437\) | −14.2847 | + | 10.3784i | −0.683330 | + | 0.496468i | ||||
\(438\) | −0.0969413 | − | 0.298355i | −0.00463203 | − | 0.0142559i | ||||
\(439\) | 2.07107 | 0.0988467 | 0.0494233 | − | 0.998778i | \(-0.484262\pi\) | ||||
0.0494233 | + | 0.998778i | \(0.484262\pi\) | |||||||
\(440\) | 5.14214 | 0.245142 | ||||||||
\(441\) | 5.96826 | + | 18.3684i | 0.284203 | + | 0.874687i | ||||
\(442\) | 2.85613 | − | 8.79027i | 0.135852 | − | 0.418111i | ||||
\(443\) | −1.47010 | + | 4.52452i | −0.0698468 | + | 0.214966i | −0.979887 | − | 0.199554i | \(-0.936051\pi\) |
0.910040 | + | 0.414520i | \(0.136051\pi\) | |||||||
\(444\) | 0.612717 | + | 0.445165i | 0.0290782 | + | 0.0211266i | ||||
\(445\) | −1.38603 | − | 4.26576i | −0.0657040 | − | 0.202216i | ||||
\(446\) | −7.95136 | − | 5.77700i | −0.376508 | − | 0.273549i | ||||
\(447\) | 0.335106 | − | 0.243469i | 0.0158500 | − | 0.0115157i | ||||
\(448\) | 0.533957 | − | 1.64335i | 0.0252271 | − | 0.0776411i | ||||
\(449\) | −32.8683 | + | 23.8802i | −1.55115 | + | 1.12698i | −0.608324 | + | 0.793688i | \(0.708158\pi\) |
−0.942825 | + | 0.333288i | \(0.891842\pi\) | |||||||
\(450\) | −3.79129 | + | 2.75453i | −0.178723 | + | 0.129850i | ||||
\(451\) | 7.50048 | − | 23.0841i | 0.353184 | − | 1.08699i | ||||
\(452\) | 24.6393 | − | 17.9015i | 1.15893 | − | 0.842016i | ||||
\(453\) | −1.78065 | − | 1.29372i | −0.0836625 | − | 0.0607843i | ||||
\(454\) | −2.35700 | − | 7.25410i | −0.110620 | − | 0.340452i | ||||
\(455\) | 1.28293 | + | 0.932102i | 0.0601446 | + | 0.0436976i | ||||
\(456\) | 0.895993 | − | 2.75758i | 0.0419587 | − | 0.129136i | ||||
\(457\) | 9.61435 | − | 29.5899i | 0.449740 | − | 1.38416i | −0.427460 | − | 0.904034i | \(-0.640591\pi\) |
0.877200 | − | 0.480124i | \(-0.159409\pi\) | |||||||
\(458\) | 0.702111 | + | 2.16087i | 0.0328075 | + | 0.100971i | ||||
\(459\) | 14.0711 | 0.656781 | ||||||||
\(460\) | −7.31371 | −0.341003 | ||||||||
\(461\) | 0.661956 | + | 2.03729i | 0.0308304 | + | 0.0948862i | 0.965288 | − | 0.261189i | \(-0.0841146\pi\) |
−0.934457 | + | 0.356075i | \(0.884115\pi\) | |||||||
\(462\) | 0.186436 | − | 0.135454i | 0.00867378 | − | 0.00630187i | ||||
\(463\) | −7.25734 | − | 5.27276i | −0.337277 | − | 0.245046i | 0.406235 | − | 0.913769i | \(-0.366841\pi\) |
−0.743512 | + | 0.668722i | \(0.766841\pi\) | |||||||
\(464\) | 20.4853 | 0.951005 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −3.79899 | −0.175985 | ||||||||
\(467\) | 6.47214 | + | 4.70228i | 0.299495 | + | 0.217596i | 0.727376 | − | 0.686239i | \(-0.240740\pi\) |
−0.427881 | + | 0.903835i | \(0.640740\pi\) | |||||||
\(468\) | −16.0177 | + | 11.6376i | −0.740419 | + | 0.537946i | ||||
\(469\) | −0.415055 | − | 1.27741i | −0.0191655 | − | 0.0589852i | ||||
\(470\) | 4.00000 | 0.184506 | ||||||||
\(471\) | −3.79899 | −0.175048 | ||||||||
\(472\) | −1.99497 | − | 6.13987i | −0.0918257 | − | 0.282611i | ||||
\(473\) | −10.9216 | + | 33.6133i | −0.502177 | + | 1.54554i | ||||
\(474\) | −0.358268 | + | 1.10264i | −0.0164558 | + | 0.0506457i | ||||
\(475\) | 14.2847 | + | 10.3784i | 0.655427 | + | 0.476195i | ||||
\(476\) | 1.36407 | + | 4.19817i | 0.0625219 | + | 0.192423i | ||||
\(477\) | −13.3369 | − | 9.68981i | −0.610653 | − | 0.443666i | ||||
\(478\) | −7.11853 | + | 5.17192i | −0.325594 | + | 0.236558i | ||||
\(479\) | −4.86020 | + | 14.9581i | −0.222068 | + | 0.683455i | 0.776508 | + | 0.630107i | \(0.216989\pi\) |
−0.998576 | + | 0.0533476i | \(0.983011\pi\) | |||||||
\(480\) | 1.47923 | − | 1.07472i | 0.0675172 | − | 0.0490541i | ||||
\(481\) | 3.09726 | − | 2.25029i | 0.141223 | − | 0.102605i | ||||
\(482\) | −1.70791 | + | 5.25641i | −0.0777932 | + | 0.239423i | ||||
\(483\) | −0.555221 | + | 0.403392i | −0.0252635 | + | 0.0183550i | ||||
\(484\) | −0.717842 | − | 0.521543i | −0.0326292 | − | 0.0237065i | ||||
\(485\) | 1.59810 | + | 4.91846i | 0.0725662 | + | 0.223336i | ||||
\(486\) | 3.46605 | + | 2.51823i | 0.157223 | + | 0.114229i | ||||
\(487\) | −5.99023 | + | 18.4360i | −0.271443 | + | 0.835416i | 0.718696 | + | 0.695325i | \(0.244739\pi\) |
−0.990139 | + | 0.140091i | \(0.955261\pi\) | |||||||
\(488\) | −1.38603 | + | 4.26576i | −0.0627425 | + | 0.193102i | ||||
\(489\) | −2.68421 | − | 8.26115i | −0.121384 | − | 0.373582i | ||||
\(490\) | −2.82843 | −0.127775 | ||||||||
\(491\) | −1.58579 | −0.0715655 | −0.0357828 | − | 0.999360i | \(-0.511392\pi\) | ||||
−0.0357828 | + | 0.999360i | \(0.511392\pi\) | |||||||
\(492\) | −1.75183 | − | 5.39158i | −0.0789787 | − | 0.243071i | ||||
\(493\) | −32.1981 | + | 23.3933i | −1.45013 | + | 1.05358i | ||||
\(494\) | −5.66312 | − | 4.11450i | −0.254796 | − | 0.185120i | ||||
\(495\) | 9.17157 | 0.412232 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −0.0294373 | −0.00132044 | ||||||||
\(498\) | 1.39792 | + | 1.01565i | 0.0626422 | + | 0.0455122i | ||||
\(499\) | −1.79052 | + | 1.30089i | −0.0801546 | + | 0.0582358i | −0.627141 | − | 0.778906i | \(-0.715775\pi\) |
0.546986 | + | 0.837142i | \(0.315775\pi\) | |||||||
\(500\) | 5.08514 | + | 15.6504i | 0.227414 | + | 0.699909i | ||||
\(501\) | 9.34315 | 0.417421 | ||||||||
\(502\) | −2.65685 | −0.118581 | ||||||||
\(503\) | −4.13612 | − | 12.7297i | −0.184421 | − | 0.567588i | 0.815517 | − | 0.578733i | \(-0.196453\pi\) |
−0.999938 | + | 0.0111444i | \(0.996453\pi\) | |||||||
\(504\) | −0.574112 | + | 1.76693i | −0.0255730 | + | 0.0787055i | ||||
\(505\) | −2.62210 | + | 8.06998i | −0.116682 | + | 0.359109i | ||||
\(506\) | 4.34651 | + | 3.15793i | 0.193226 | + | 0.140387i | ||||
\(507\) | −0.212076 | − | 0.652702i | −0.00941861 | − | 0.0289875i | ||||
\(508\) | −13.1644 | − | 9.56449i | −0.584075 | − | 0.424356i | ||||
\(509\) | −26.5349 | + | 19.2788i | −1.17614 | + | 0.854516i | −0.991731 | − | 0.128333i | \(-0.959037\pi\) |
−0.184409 | + | 0.982850i | \(0.559037\pi\) | |||||||
\(510\) | −0.309017 | + | 0.951057i | −0.0136835 | + | 0.0421135i | ||||
\(511\) | 0.612717 | − | 0.445165i | 0.0271050 | − | 0.0196929i | ||||
\(512\) | −18.4111 | + | 13.3764i | −0.813663 | + | 0.591161i | ||||
\(513\) | 3.29315 | − | 10.1353i | 0.145396 | − | 0.447483i | ||||
\(514\) | −7.47745 | + | 5.43269i | −0.329816 | + | 0.239626i | ||||
\(515\) | −1.67553 | − | 1.21734i | −0.0738326 | − | 0.0536425i | ||||
\(516\) | 2.55088 | + | 7.85081i | 0.112296 | + | 0.345613i | ||||
\(517\) | 25.3333 | + | 18.4057i | 1.11416 | + | 0.809483i | ||||
\(518\) | 0.0530189 | − | 0.163176i | 0.00232952 | − | 0.00716952i | ||||
\(519\) | −1.06415 | + | 3.27511i | −0.0467109 | + | 0.143761i | ||||
\(520\) | −1.87606 | − | 5.77393i | −0.0822708 | − | 0.253204i | ||||
\(521\) | −20.4558 | −0.896187 | −0.448093 | − | 0.893987i | \(-0.647897\pi\) | ||||
−0.448093 | + | 0.893987i | \(0.647897\pi\) | |||||||
\(522\) | −8.00000 | −0.350150 | ||||||||
\(523\) | 2.47214 | + | 7.60845i | 0.108099 | + | 0.332694i | 0.990445 | − | 0.137906i | \(-0.0440373\pi\) |
−0.882346 | + | 0.470601i | \(0.844037\pi\) | |||||||
\(524\) | −19.5889 | + | 14.2322i | −0.855745 | + | 0.621735i | ||||
\(525\) | 0.555221 | + | 0.403392i | 0.0242319 | + | 0.0176055i | ||||
\(526\) | 9.65685 | 0.421059 | ||||||||
\(527\) | 0 | 0 | ||||||||
\(528\) | 4.02944 | 0.175359 | ||||||||
\(529\) | 5.66312 | + | 4.11450i | 0.246223 | + | 0.178891i | ||||
\(530\) | 1.95314 | − | 1.41904i | 0.0848390 | − | 0.0616391i | ||||
\(531\) | −3.55824 | − | 10.9511i | −0.154415 | − | 0.475239i | ||||
\(532\) | 3.34315 | 0.144944 | ||||||||
\(533\) | −28.6569 | −1.24127 | ||||||||
\(534\) | 0.237805 | + | 0.731888i | 0.0102908 | + | 0.0316719i | ||||
\(535\) | 3.83620 | − | 11.8066i | 0.165854 | − | 0.510445i | ||||
\(536\) | −1.58901 | + | 4.89046i | −0.0686347 | + | 0.211236i | ||||
\(537\) | 5.10790 | + | 3.71110i | 0.220422 | + | 0.160146i | ||||
\(538\) | 3.34994 | + | 10.3100i | 0.144426 | + | 0.444498i | ||||
\(539\) | −17.9134 | − | 13.0148i | −0.771583 | − | 0.560588i | ||||
\(540\) | 3.57117 | − | 2.59461i | 0.153679 | − | 0.111654i | ||||
\(541\) | −9.66737 | + | 29.7531i | −0.415633 | + | 1.27919i | 0.496051 | + | 0.868293i | \(0.334783\pi\) |
−0.911684 | + | 0.410893i | \(0.865217\pi\) | |||||||
\(542\) | −0.229980 | + | 0.167090i | −0.00987850 | + | 0.00717715i | ||||
\(543\) | −4.12640 | + | 2.99800i | −0.177081 | + | 0.128657i | ||||
\(544\) | 7.95037 | − | 24.4687i | 0.340869 | − | 1.04909i | ||||
\(545\) | 8.76038 | − | 6.36479i | 0.375254 | − | 0.272638i | ||||
\(546\) | −0.220116 | − | 0.159923i | −0.00942008 | − | 0.00684409i | ||||
\(547\) | −6.09626 | − | 18.7624i | −0.260657 | − | 0.802221i | −0.992662 | − | 0.120921i | \(-0.961415\pi\) |
0.732005 | − | 0.681300i | \(-0.238585\pi\) | |||||||
\(548\) | −14.0309 | − | 10.1940i | −0.599370 | − | 0.435468i | ||||
\(549\) | −2.47214 | + | 7.60845i | −0.105508 | + | 0.324721i | ||||
\(550\) | 1.66022 | − | 5.10963i | 0.0707920 | − | 0.217875i | ||||
\(551\) | 9.31443 | + | 28.6669i | 0.396808 | + | 1.22125i | ||||
\(552\) | 2.62742 | 0.111830 | ||||||||
\(553\) | −2.79899 | −0.119025 | ||||||||
\(554\) | −1.81018 | − | 5.57116i | −0.0769072 | − | 0.236696i | ||||
\(555\) | −0.335106 | + | 0.243469i | −0.0142244 | + | 0.0103347i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −27.5147 | −1.16584 | −0.582918 | − | 0.812531i | \(-0.698089\pi\) | ||||
−0.582918 | + | 0.812531i | \(0.698089\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 41.7279 | 1.76490 | ||||||||
\(560\) | 1.00532 | + | 0.730406i | 0.0424824 | + | 0.0308653i | ||||
\(561\) | −6.33333 | + | 4.60143i | −0.267393 | + | 0.194273i | ||||
\(562\) | 0.255998 | + | 0.787881i | 0.0107986 | + | 0.0332348i | ||||
\(563\) | 13.2426 | 0.558111 | 0.279055 | − | 0.960275i | \(-0.409979\pi\) | ||||
0.279055 | + | 0.960275i | \(0.409979\pi\) | |||||||
\(564\) | 7.31371 | 0.307963 | ||||||||
\(565\) | 5.14725 | + | 15.8416i | 0.216546 | + | 0.666462i | ||||
\(566\) | −1.74806 | + | 5.37999i | −0.0734766 | + | 0.226138i | ||||
\(567\) | −0.958109 | + | 2.94876i | −0.0402368 | + | 0.123836i | ||||
\(568\) | 0.0911749 | + | 0.0662424i | 0.00382561 | + | 0.00277947i | ||||
\(569\) | 4.06114 | + | 12.4989i | 0.170252 | + | 0.523982i | 0.999385 | − | 0.0350699i | \(-0.0111654\pi\) |
−0.829133 | + | 0.559052i | \(0.811165\pi\) | |||||||
\(570\) | 0.612717 | + | 0.445165i | 0.0256639 | + | 0.0186459i | ||||
\(571\) | −17.0707 | + | 12.4026i | −0.714385 | + | 0.519031i | −0.884585 | − | 0.466378i | \(-0.845559\pi\) |
0.170200 | + | 0.985410i | \(0.445559\pi\) | |||||||
\(572\) | 7.01422 | − | 21.5875i | 0.293279 | − | 0.902620i | ||||
\(573\) | −7.00354 | + | 5.08837i | −0.292577 | + | 0.212570i | ||||
\(574\) | −1.03900 | + | 0.754876i | −0.0433669 | + | 0.0315079i | ||||
\(575\) | −4.94427 | + | 15.2169i | −0.206190 | + | 0.634589i | ||||
\(576\) | −9.54558 | + | 6.93527i | −0.397733 | + | 0.288970i | ||||
\(577\) | 0.0238152 | + | 0.0173028i | 0.000991441 | + | 0.000720324i | 0.588281 | − | 0.808657i | \(-0.299805\pi\) |
−0.587289 | + | 0.809377i | \(0.699805\pi\) | |||||||
\(578\) | 2.17222 | + | 6.68539i | 0.0903523 | + | 0.278076i | ||||
\(579\) | 2.39337 | + | 1.73889i | 0.0994651 | + | 0.0722656i | ||||
\(580\) | −3.85816 | + | 11.8742i | −0.160202 | + | 0.493050i | ||||
\(581\) | −1.28909 | + | 3.96740i | −0.0534803 | + | 0.164596i | ||||
\(582\) | −0.274191 | − | 0.843874i | −0.0113656 | − | 0.0349797i | ||||
\(583\) | 18.8995 | 0.782737 | ||||||||
\(584\) | −2.89949 | −0.119982 | ||||||||
\(585\) | −3.34617 | − | 10.2984i | −0.138347 | − | 0.425788i | ||||
\(586\) | −4.95923 | + | 3.60309i | −0.204864 | + | 0.148842i | ||||
\(587\) | −25.6109 | − | 18.6074i | −1.05708 | − | 0.768011i | −0.0835311 | − | 0.996505i | \(-0.526620\pi\) |
−0.973545 | + | 0.228494i | \(0.926620\pi\) | |||||||
\(588\) | −5.17157 | −0.213272 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 1.68629 | 0.0694235 | ||||||||
\(591\) | 4.51900 | + | 3.28324i | 0.185887 | + | 0.135055i | ||||
\(592\) | 2.42705 | − | 1.76336i | 0.0997512 | − | 0.0724735i | ||||
\(593\) | −0.405958 | − | 1.24941i | −0.0166707 | − | 0.0513072i | 0.942375 | − | 0.334558i | \(-0.108587\pi\) |
−0.959046 | + | 0.283251i | \(0.908587\pi\) | |||||||
\(594\) | −3.24264 | −0.133047 | ||||||||
\(595\) | −2.41421 | −0.0989731 | ||||||||
\(596\) | −0.565015 | − | 1.73894i | −0.0231439 | − | 0.0712297i | ||||
\(597\) | 2.35700 | − | 7.25410i | 0.0964656 | − | 0.296891i | ||||
\(598\) | 1.96014 | − | 6.03269i | 0.0801561 | − | 0.246695i | ||||
\(599\) | −12.2166 | − | 8.87585i | −0.499155 | − | 0.362658i | 0.309539 | − | 0.950887i | \(-0.399825\pi\) |
−0.808694 | + | 0.588229i | \(0.799825\pi\) | |||||||
\(600\) | −0.811917 | − | 2.49882i | −0.0331464 | − | 0.102014i | ||||
\(601\) | −5.27052 | − | 3.82926i | −0.214989 | − | 0.156199i | 0.475079 | − | 0.879943i | \(-0.342419\pi\) |
−0.690068 | + | 0.723744i | \(0.742419\pi\) | |||||||
\(602\) | 1.51291 | − | 1.09919i | 0.0616615 | − | 0.0447997i | ||||
\(603\) | −2.83417 | + | 8.72268i | −0.115416 | + | 0.355215i | ||||
\(604\) | −7.86019 | + | 5.71076i | −0.319827 | + | 0.232368i | ||||
\(605\) | 0.392601 | − | 0.285241i | 0.0159615 | − | 0.0115967i | ||||
\(606\) | 0.449881 | − | 1.38459i | 0.0182751 | − | 0.0562451i | ||||
\(607\) | 1.28293 | − | 0.932102i | 0.0520724 | − | 0.0378328i | −0.561445 | − | 0.827514i | \(-0.689754\pi\) |
0.613517 | + | 0.789682i | \(0.289754\pi\) | |||||||
\(608\) | −15.7639 | − | 11.4532i | −0.639312 | − | 0.464487i | ||||
\(609\) | 0.362036 | + | 1.11423i | 0.0146704 | + | 0.0451510i | ||||
\(610\) | −0.947822 | − | 0.688633i | −0.0383762 | − | 0.0278819i | ||||
\(611\) | 11.4245 | − | 35.1611i | 0.462187 | − | 1.42247i | ||||
\(612\) | 9.31443 | − | 28.6669i | 0.376514 | − | 1.15879i | ||||
\(613\) | −3.80515 | − | 11.7110i | −0.153688 | − | 0.473004i | 0.844337 | − | 0.535812i | \(-0.179994\pi\) |
−0.998026 | + | 0.0628079i | \(0.979994\pi\) | |||||||
\(614\) | −4.65685 | −0.187935 | ||||||||
\(615\) | 3.10051 | 0.125024 | ||||||||
\(616\) | −0.658188 | − | 2.02570i | −0.0265192 | − | 0.0816176i | ||||
\(617\) | 26.9275 | − | 19.5640i | 1.08406 | − | 0.787617i | 0.105675 | − | 0.994401i | \(-0.466300\pi\) |
0.978387 | + | 0.206784i | \(0.0662996\pi\) | |||||||
\(618\) | 0.287475 | + | 0.208863i | 0.0115640 | + | 0.00840170i | ||||
\(619\) | 20.3431 | 0.817660 | 0.408830 | − | 0.912611i | \(-0.365937\pi\) | ||||
0.408830 | + | 0.912611i | \(0.365937\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 9.65685 | 0.387516 | ||||||||
\(622\) | −3.79129 | − | 2.75453i | −0.152017 | − | 0.110447i | ||||
\(623\) | −1.50304 | + | 1.09203i | −0.0602182 | + | 0.0437511i | ||||
\(624\) | −1.47010 | − | 4.52452i | −0.0588513 | − | 0.181126i | ||||
\(625\) | 11.0000 | 0.440000 | ||||||||
\(626\) | 0.757359 | 0.0302702 | ||||||||
\(627\) | 1.83214 | + | 5.63875i | 0.0731687 | + | 0.225190i | ||||
\(628\) | −5.18208 | + | 15.9488i | −0.206787 | + | 0.636426i | ||||
\(629\) | −1.80108 | + | 5.54316i | −0.0718139 | + | 0.221020i | ||||
\(630\) | −0.392601 | − | 0.285241i | −0.0156416 | − | 0.0113643i | ||||
\(631\) | −15.4546 | − | 47.5644i | −0.615239 | − | 1.89351i | −0.397972 | − | 0.917397i | \(-0.630286\pi\) |
−0.217266 | − | 0.976112i | \(-0.569714\pi\) | |||||||
\(632\) | 8.66921 | + | 6.29855i | 0.344843 | + | 0.250543i | ||||
\(633\) | 3.48986 | − | 2.53553i | 0.138710 | − | 0.100778i | ||||
\(634\) | −1.00203 | + | 3.08393i | −0.0397957 | + | 0.122479i | ||||
\(635\) | 7.19984 | − | 5.23099i | 0.285717 | − | 0.207586i | ||||
\(636\) | 3.57117 | − | 2.59461i | 0.141606 | − | 0.102883i | ||||
\(637\) | −8.07836 | + | 24.8626i | −0.320076 | + | 0.985094i | ||||
\(638\) | 7.41996 | − | 5.39092i | 0.293759 | − | 0.213428i | ||||
\(639\) | 0.162621 | + | 0.118151i | 0.00643317 | + | 0.00467397i | ||||
\(640\) | −3.26209 | − | 10.0397i | −0.128945 | − | 0.396853i | ||||
\(641\) | −11.3024 | − | 8.21169i | −0.446419 | − | 0.324342i | 0.341761 | − | 0.939787i | \(-0.388977\pi\) |
−0.788180 | + | 0.615444i | \(0.788977\pi\) | |||||||
\(642\) | −0.658188 | + | 2.02570i | −0.0259766 | + | 0.0799478i | ||||
\(643\) | −10.9125 | + | 33.5853i | −0.430348 | + | 1.32448i | 0.467430 | + | 0.884030i | \(0.345180\pi\) |
−0.897779 | + | 0.440446i | \(0.854820\pi\) | |||||||
\(644\) | 0.936148 | + | 2.88117i | 0.0368894 | + | 0.113534i | ||||
\(645\) | −4.51472 | −0.177767 | ||||||||
\(646\) | 10.6569 | 0.419288 | ||||||||
\(647\) | 14.0027 | + | 43.0959i | 0.550503 | + | 1.69427i | 0.707533 | + | 0.706681i | \(0.249808\pi\) |
−0.157029 | + | 0.987594i | \(0.550192\pi\) | |||||||
\(648\) | 9.60308 | − | 6.97704i | 0.377245 | − | 0.274084i | ||||
\(649\) | 10.6798 | + | 7.75936i | 0.419220 | + | 0.304581i | ||||
\(650\) | −6.34315 | −0.248799 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −38.3431 | −1.50163 | ||||||||
\(653\) | 4.96909 | + | 3.61026i | 0.194456 | + | 0.141280i | 0.680753 | − | 0.732513i | \(-0.261653\pi\) |
−0.486297 | + | 0.873793i | \(0.661653\pi\) | |||||||
\(654\) | −1.50304 | + | 1.09203i | −0.0587737 | + | 0.0427016i | ||||
\(655\) | −4.09220 | − | 12.5945i | −0.159896 | − | 0.492108i | ||||
\(656\) | −22.4558 | −0.876753 | ||||||||
\(657\) | −5.17157 | −0.201762 | ||||||||
\(658\) | −0.511996 | − | 1.57576i | −0.0199597 | − | 0.0614296i | ||||
\(659\) | −0.511996 | + | 1.57576i | −0.0199445 | + | 0.0613830i | −0.960533 | − | 0.278165i | \(-0.910274\pi\) |
0.940589 | + | 0.339548i | \(0.110274\pi\) | |||||||
\(660\) | −0.758898 | + | 2.33565i | −0.0295400 | + | 0.0909149i | ||||
\(661\) | −3.93009 | − | 2.85538i | −0.152863 | − | 0.111061i | 0.508725 | − | 0.860929i | \(-0.330117\pi\) |
−0.661588 | + | 0.749868i | \(0.730117\pi\) | |||||||
\(662\) | −1.18305 | − | 3.64105i | −0.0459805 | − | 0.141513i | ||||
\(663\) | 7.47745 | + | 5.43269i | 0.290400 | + | 0.210988i | ||||
\(664\) | 12.9205 | − | 9.38726i | 0.501411 | − | 0.364296i | ||||
\(665\) | −0.565015 | + | 1.73894i | −0.0219103 | + | 0.0674331i | ||||
\(666\) | −0.947822 | + | 0.688633i | −0.0367274 | + | 0.0266840i | ||||
\(667\) | −22.0973 | + | 16.0546i | −0.855609 | + | 0.621636i | ||||
\(668\) | 12.7447 | − | 39.2241i | 0.493106 | − | 1.51763i | ||||
\(669\) | 7.95136 | − | 5.77700i | 0.307418 | − | 0.223352i | ||||
\(670\) | −1.08663 | − | 0.789481i | −0.0419801 | − | 0.0305003i | ||||
\(671\) | −2.83417 | − | 8.72268i | −0.109412 | − | 0.336735i | ||||
\(672\) | −0.612717 | − | 0.445165i | −0.0236361 | − | 0.0171726i | ||||
\(673\) | −2.88719 | + | 8.88586i | −0.111293 | + | 0.342525i | −0.991156 | − | 0.132703i | \(-0.957634\pi\) |
0.879863 | + | 0.475228i | \(0.157634\pi\) | |||||||
\(674\) | −1.19215 | + | 3.66905i | −0.0459197 | + | 0.141326i | ||||
\(675\) | −2.98413 | − | 9.18421i | −0.114859 | − | 0.353501i | ||||
\(676\) | −3.02944 | −0.116517 | ||||||||
\(677\) | 38.5980 | 1.48344 | 0.741720 | − | 0.670709i | \(-0.234010\pi\) | ||||
0.741720 | + | 0.670709i | \(0.234010\pi\) | |||||||
\(678\) | −0.883129 | − | 2.71799i | −0.0339164 | − | 0.104384i | ||||
\(679\) | 1.73302 | − | 1.25912i | 0.0665074 | − | 0.0483204i | ||||
\(680\) | 7.47745 | + | 5.43269i | 0.286747 | + | 0.208334i | ||||
\(681\) | 7.62742 | 0.292283 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −1.37258 | −0.0525204 | −0.0262602 | − | 0.999655i | \(-0.508360\pi\) | ||||
−0.0262602 | + | 0.999655i | \(0.508360\pi\) | |||||||
\(684\) | −18.4686 | − | 13.4182i | −0.706164 | − | 0.513058i | ||||
\(685\) | 7.67375 | − | 5.57531i | 0.293199 | − | 0.213022i | ||||
\(686\) | 0.733168 | + | 2.25646i | 0.0279925 | + | 0.0861521i | ||||
\(687\) | −2.27208 | −0.0866852 | ||||||||
\(688\) | 32.6985 | 1.24662 | ||||||||
\(689\) | −6.89532 | − | 21.2216i | −0.262691 | − | 0.808478i | ||||
\(690\) | −0.212076 | + | 0.652702i | −0.00807359 | + | 0.0248479i | ||||
\(691\) | −0.0219612 | + | 0.0675895i | −0.000835442 | + | 0.00257123i | −0.951473 | − | 0.307731i | \(-0.900430\pi\) |
0.950638 | + | 0.310302i | \(0.100430\pi\) | |||||||
\(692\) | 12.2979 | + | 8.93493i | 0.467495 | + | 0.339655i | ||||
\(693\) | −1.17395 | − | 3.61305i | −0.0445948 | − | 0.137249i | ||||
\(694\) | −2.86728 | − | 2.08320i | −0.108841 | − | 0.0790773i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 1.38603 | − | 4.26576i | 0.0525373 | − | 0.161693i | ||||
\(697\) | 35.2953 | − | 25.6436i | 1.33691 | − | 0.971319i | ||||
\(698\) | 9.08562 | − | 6.60109i | 0.343896 | − | 0.249855i | ||||
\(699\) | 1.17395 | − | 3.61305i | 0.0444030 | − | 0.136658i | ||||
\(700\) | 2.45087 | − | 1.78066i | 0.0926340 | − | 0.0673026i | ||||
\(701\) | 10.9098 | + | 7.92645i | 0.412058 | + | 0.299378i | 0.774435 | − | 0.632654i | \(-0.218034\pi\) |
−0.362376 | + | 0.932032i | \(0.618034\pi\) | |||||||
\(702\) | 1.18305 | + | 3.64105i | 0.0446513 | + | 0.137423i | ||||
\(703\) | 3.57117 | + | 2.59461i | 0.134689 | + | 0.0978576i | ||||
\(704\) | 4.18005 | − | 12.8649i | 0.157541 | − | 0.484863i | ||||
\(705\) | −1.23607 | + | 3.80423i | −0.0465530 | + | 0.143275i | ||||
\(706\) | −0.383997 | − | 1.18182i | −0.0144519 | − | 0.0444784i | ||||
\(707\) | 3.51472 | 0.132185 | ||||||||
\(708\) | 3.08326 | 0.115876 | ||||||||
\(709\) | −5.35023 | − | 16.4663i | −0.200932 | − | 0.618405i | −0.999856 | − | 0.0169732i | \(-0.994597\pi\) |
0.798924 | − | 0.601432i | \(-0.205403\pi\) | |||||||
\(710\) | −0.0238152 | + | 0.0173028i | −0.000893770 | + | 0.000649362i | ||||
\(711\) | 15.4625 | + | 11.2342i | 0.579889 | + | 0.421314i | ||||
\(712\) | 7.11270 | 0.266560 | ||||||||
\(713\) | 0 | 0 | ||||||||
\(714\) | 0.414214 | 0.0155016 | ||||||||
\(715\) | 10.0433 | + | 7.29689i | 0.375598 | + | 0.272888i | ||||
\(716\) | 22.5474 | − | 16.3816i | 0.842634 | − | 0.612209i | ||||
\(717\) | −2.71904 | − | 8.36834i | −0.101544 | − | 0.312521i | ||||
\(718\) | 2.94113 | 0.109762 | ||||||||
\(719\) | 8.07107 | 0.301000 | 0.150500 | − | 0.988610i | \(-0.451912\pi\) | ||||
0.150500 | + | 0.988610i | \(0.451912\pi\) | |||||||
\(720\) | −2.62210 | − | 8.06998i | −0.0977198 | − | 0.300750i | ||||
\(721\) | −0.265095 | + | 0.815878i | −0.00987264 | + | 0.0303849i | ||||
\(722\) | 0.0621155 | − | 0.191172i | 0.00231170 | − | 0.00711468i | ||||
\(723\) | −4.47137 | − | 3.24864i | −0.166292 | − | 0.120818i | ||||
\(724\) | 6.95743 | + | 21.4128i | 0.258571 | + | 0.795799i | ||||
\(725\) | 22.0973 | + | 16.0546i | 0.820671 | + | 0.596253i | ||||
\(726\) | −0.0673597 | + | 0.0489397i | −0.00249995 | + | 0.00181632i | ||||
\(727\) | 12.6204 | − | 38.8417i | 0.468066 | − | 1.44056i | −0.387018 | − | 0.922072i | \(-0.626495\pi\) |
0.855085 | − | 0.518488i | \(-0.173505\pi\) | |||||||
\(728\) | −2.03445 | + | 1.47811i | −0.0754017 | + | 0.0547826i | ||||
\(729\) | 14.7011 | − | 10.6810i | 0.544486 | − | 0.395592i | ||||
\(730\) | 0.234037 | − | 0.720292i | 0.00866209 | − | 0.0266592i | ||||
\(731\) | −51.3944 | + | 37.3402i | −1.90089 | + | 1.38108i | ||||
\(732\) | −1.73302 | − | 1.25912i | −0.0640544 | − | 0.0465383i | ||||
\(733\) | 4.82914 | + | 14.8626i | 0.178368 | + | 0.548961i | 0.999771 | − | 0.0213872i | \(-0.00680827\pi\) |
−0.821403 | + | 0.570348i | \(0.806808\pi\) | |||||||
\(734\) | −8.11399 | − | 5.89516i | −0.299493 | − | 0.217594i | ||||
\(735\) | 0.874032 | − | 2.68999i | 0.0322392 | − | 0.0992219i | ||||
\(736\) | 5.45627 | − | 16.7927i | 0.201121 | − | 0.618986i | ||||
\(737\) | −3.24923 | − | 10.0001i | −0.119687 | − | 0.368358i | ||||
\(738\) | 8.76955 | 0.322812 | ||||||||
\(739\) | −45.8701 | −1.68736 | −0.843679 | − | 0.536848i | \(-0.819615\pi\) | ||||
−0.843679 | + | 0.536848i | \(0.819615\pi\) | |||||||
\(740\) | 0.565015 | + | 1.73894i | 0.0207704 | + | 0.0639246i | ||||
\(741\) | 5.66312 | − | 4.11450i | 0.208040 | − | 0.151150i | ||||
\(742\) | −0.809017 | − | 0.587785i | −0.0296999 | − | 0.0215783i | ||||
\(743\) | −5.65685 | −0.207530 | −0.103765 | − | 0.994602i | \(-0.533089\pi\) | ||||
−0.103765 | + | 0.994602i | \(0.533089\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 1.00000 | 0.0366372 | ||||||||
\(746\) | −3.35106 | − | 2.43469i | −0.122691 | − | 0.0891402i | ||||
\(747\) | 23.0451 | − | 16.7432i | 0.843175 | − | 0.612603i | ||||
\(748\) | 10.6785 | + | 32.8650i | 0.390445 | + | 1.20166i | ||||
\(749\) | −5.14214 | −0.187890 | ||||||||
\(750\) | 1.54416 | 0.0563846 | ||||||||
\(751\) | 2.23810 | + | 6.88816i | 0.0816694 | + | 0.251353i | 0.983551 | − | 0.180631i | \(-0.0578139\pi\) |
−0.901882 | + | 0.431983i | \(0.857814\pi\) | |||||||
\(752\) | 8.95240 | − | 27.5526i | 0.326460 | − | 1.00474i | ||||
\(753\) | 0.821013 | − | 2.52682i | 0.0299194 | − | 0.0920824i | ||||
\(754\) | −8.76038 | − | 6.36479i | −0.319034 | − | 0.231792i | ||||
\(755\) | −1.64203 | − | 5.05364i | −0.0597595 | − | 0.183921i | ||||
\(756\) | −1.47923 | − | 1.07472i | −0.0537990 | − | 0.0390873i | ||||
\(757\) | 18.8850 | − | 13.7208i | 0.686387 | − | 0.498689i | −0.189083 | − | 0.981961i | \(-0.560552\pi\) |
0.875470 | + | 0.483272i | \(0.160552\pi\) | |||||||
\(758\) | 0.945244 | − | 2.90916i | 0.0343328 | − | 0.105666i | ||||
\(759\) | −4.34651 | + | 3.15793i | −0.157768 | + | 0.114625i | ||||
\(760\) | 5.66312 | − | 4.11450i | 0.205423 | − | 0.149248i | ||||
\(761\) | −9.41137 | + | 28.9652i | −0.341162 | + | 1.04999i | 0.622444 | + | 0.782664i | \(0.286140\pi\) |
−0.963606 | + | 0.267325i | \(0.913860\pi\) | |||||||
\(762\) | −1.23530 | + | 0.897496i | −0.0447501 | + | 0.0325129i | ||||
\(763\) | −3.62867 | − | 2.63638i | −0.131367 | − | 0.0954434i | ||||
\(764\) | 11.8085 | + | 36.3429i | 0.427218 | + | 1.31484i | ||||
\(765\) | 13.3369 | + | 9.68981i | 0.482196 | + | 0.350336i | ||||
\(766\) | −0.652860 | + | 2.00930i | −0.0235888 | + | 0.0725988i | ||||
\(767\) | 4.81627 | − | 14.8230i | 0.173906 | − | 0.535226i | ||||
\(768\) | −0.508228 | − | 1.56417i | −0.0183391 | − | 0.0564420i | ||||
\(769\) | 36.1127 | 1.30226 | 0.651129 | − | 0.758967i | \(-0.274296\pi\) | ||||
0.651129 | + | 0.758967i | \(0.274296\pi\) | |||||||
\(770\) | 0.556349 | 0.0200494 | ||||||||
\(771\) | −2.85613 | − | 8.79027i | −0.102861 | − | 0.316574i | ||||
\(772\) | 10.5649 | − | 7.67581i | 0.380237 | − | 0.276259i | ||||
\(773\) | 14.5623 | + | 10.5801i | 0.523770 | + | 0.380541i | 0.818022 | − | 0.575187i | \(-0.195071\pi\) |
−0.294252 | + | 0.955728i | \(0.595071\pi\) | |||||||
\(774\) | −12.7696 | −0.458992 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −8.20101 | −0.294399 | ||||||||
\(777\) | 0.138805 | + | 0.100848i | 0.00497961 | + | 0.00361790i | ||||
\(778\) | −3.73379 | + | 2.71276i | −0.133863 | + | 0.0972572i | ||||
\(779\) | −10.2104 | − | 31.4245i | −0.365826 | − | 1.12590i | ||||
\(780\) | 2.89949 | 0.103819 | ||||||||
\(781\) | −0.230447 | −0.00824606 | ||||||||
\(782\) | 2.98413 | + | 9.18421i | 0.106712 | + | 0.328427i | ||||
\(783\) | 5.09423 | − | 15.6784i | 0.182053 | − | 0.560302i | ||||
\(784\) | −6.33030 | + | 19.4827i | −0.226082 | + | 0.695809i | ||||
\(785\) | −7.41996 | − | 5.39092i | −0.264830 | − | 0.192410i | ||||
\(786\) | 0.702111 | + | 2.16087i | 0.0250435 | + | 0.0770758i | ||||
\(787\) | 34.3138 | + | 24.9304i | 1.22316 | + | 0.888675i | 0.996358 | − | 0.0852674i | \(-0.0271745\pi\) |
0.226797 | + | 0.973942i | \(0.427174\pi\) | |||||||
\(788\) | 19.9478 | − | 14.4929i | 0.710611 | − | 0.516289i | ||||
\(789\) | −2.98413 | + | 9.18421i | −0.106238 | + | 0.326967i | ||||
\(790\) | −2.26443 | + | 1.64520i | −0.0805648 | + | 0.0585338i | ||||
\(791\) | 5.58181 | − | 4.05542i | 0.198466 | − | 0.144194i | ||||
\(792\) | −4.49439 | + | 13.8323i | −0.159701 | + | 0.491510i | ||||
\(793\) | −8.76038 | + | 6.36479i | −0.311090 | + | 0.226020i | ||||
\(794\) | 11.2211 | + | 8.15262i | 0.398222 | + | 0.289325i | ||||
\(795\) | 0.746033 | + | 2.29605i | 0.0264591 | + | 0.0814326i | ||||
\(796\) | −27.2388 | − | 19.7902i | −0.965455 | − | 0.701444i | ||||
\(797\) | −8.79334 | + | 27.0631i | −0.311476 | + | 0.958625i | 0.665705 | + | 0.746215i | \(0.268131\pi\) |
−0.977181 | + | 0.212409i | \(0.931869\pi\) | |||||||
\(798\) | 0.0969413 | − | 0.298355i | 0.00343168 | − | 0.0105616i | ||||
\(799\) | 17.3928 | + | 53.5295i | 0.615313 | + | 1.89374i | ||||
\(800\) | −17.6569 | −0.624264 | ||||||||
\(801\) | 12.6863 | 0.448248 | ||||||||
\(802\) | 3.43401 | + | 10.5688i | 0.121259 | + | 0.373197i | ||||
\(803\) | 4.79661 | − | 3.48494i | 0.169269 | − | 0.122981i | ||||
\(804\) | −1.98682 | − | 1.44351i | −0.0700697 | − | 0.0509086i | ||||
\(805\) | −1.65685 | −0.0583964 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −10.8406 | −0.381608 | ||||||||
\(808\) | −10.8860 | − | 7.90915i | −0.382968 | − | 0.278243i | ||||
\(809\) | −9.73202 | + | 7.07073i | −0.342160 | + | 0.248593i | −0.745572 | − | 0.666425i | \(-0.767824\pi\) |
0.403413 | + | 0.915018i | \(0.367824\pi\) | |||||||
\(810\) | 0.958109 | + | 2.94876i | 0.0336645 | + | 0.103609i | ||||
\(811\) | −13.7279 | −0.482053 | −0.241026 | − | 0.970519i | \(-0.577484\pi\) | ||||
−0.241026 | + | 0.970519i | \(0.577484\pi\) | |||||||
\(812\) | 5.17157 | 0.181487 | ||||||||
\(813\) | −0.0878446 | − | 0.270358i | −0.00308085 | − | 0.00948187i | ||||
\(814\) | 0.415055 | − | 1.27741i | 0.0145477 | − | 0.0447731i | ||||
\(815\) | 6.48026 | − | 19.9442i | 0.226994 | − | 0.698615i | ||||
\(816\) | 5.85942 | + | 4.25712i | 0.205121 | + | 0.149029i | ||||
\(817\) | 14.8676 | + | 45.7579i | 0.520153 | + | 1.60087i | ||||
\(818\) | 6.92223 | + | 5.02930i | 0.242030 | + | 0.175845i | ||||
\(819\) | −3.62867 | + | 2.63638i | −0.126796 | + | 0.0921227i | ||||
\(820\) | 4.22930 | − | 13.0164i | 0.147693 | − | 0.454554i | ||||
\(821\) | 6.86474 | − | 4.98752i | 0.239581 | − | 0.174066i | −0.461516 | − | 0.887132i | \(-0.652694\pi\) |
0.701097 | + | 0.713066i | \(0.252694\pi\) | |||||||
\(822\) | −1.31661 | + | 0.956572i | −0.0459220 | + | 0.0333643i | ||||
\(823\) | −11.1905 | + | 34.4408i | −0.390076 | + | 1.20053i | 0.542654 | + | 0.839956i | \(0.317419\pi\) |
−0.932730 | + | 0.360575i | \(0.882581\pi\) | |||||||
\(824\) | 2.65703 | − | 1.93045i | 0.0925621 | − | 0.0672503i | ||||
\(825\) | 4.34651 | + | 3.15793i | 0.151326 | + | 0.109945i | ||||
\(826\) | −0.215844 | − | 0.664299i | −0.00751016 | − | 0.0231139i | ||||
\(827\) | 29.8523 | + | 21.6890i | 1.03807 | + | 0.754200i | 0.969907 | − | 0.243475i | \(-0.0782873\pi\) |
0.0681596 | + | 0.997674i | \(0.478287\pi\) | |||||||
\(828\) | 6.39242 | − | 19.6738i | 0.222152 | − | 0.683713i | ||||
\(829\) | −11.8744 | + | 36.5457i | −0.412415 | + | 1.26928i | 0.502127 | + | 0.864794i | \(0.332551\pi\) |
−0.914542 | + | 0.404490i | \(0.867449\pi\) | |||||||
\(830\) | 1.28909 | + | 3.96740i | 0.0447449 | + | 0.137711i | ||||
\(831\) | 5.85786 | 0.203207 | ||||||||
\(832\) | −15.9706 | −0.553680 | ||||||||
\(833\) | −12.2986 | − | 37.8511i | −0.426120 | − | 1.31146i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 18.2485 | + | 13.2583i | 0.631514 | + | 0.458822i | ||||
\(836\) | 26.1716 | 0.905163 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 11.5980 | 0.400646 | ||||||||
\(839\) | 11.8338 | + | 8.59778i | 0.408549 | + | 0.296828i | 0.773014 | − | 0.634389i | \(-0.218748\pi\) |
−0.364465 | + | 0.931217i | \(0.618748\pi\) | |||||||
\(840\) | 0.220116 | − | 0.159923i | 0.00759471 | − | 0.00551788i | ||||
\(841\) | 5.44717 | + | 16.7647i | 0.187833 | + | 0.578092i | ||||
\(842\) | −12.8995 | −0.444546 | ||||||||
\(843\) | −0.828427 | −0.0285325 | ||||||||
\(844\) | −5.88419 | − | 18.1097i | −0.202542 | − | 0.623360i | ||||
\(845\) | 0.511996 | − | 1.57576i | 0.0176132 | − | 0.0542079i | ||||
\(846\) | −3.49613 | + | 10.7600i | −0.120199 | + | 0.369936i | ||||
\(847\) | −0.162621 | − | 0.118151i | −0.00558771 | − | 0.00405971i | ||||
\(848\) | −5.40325 | − | 16.6295i | −0.185548 | − | 0.571059i | ||||
\(849\) | −4.57649 | − | 3.32502i | −0.157065 | − | 0.114114i | ||||
\(850\) | 7.81256 | − | 5.67616i | 0.267969 | − | 0.194691i | ||||
\(851\) | −1.23607 | + | 3.80423i | −0.0423719 | + | 0.130407i | ||||
\(852\) | −0.0435444 | + | 0.0316369i | −0.00149181 | + | 0.00108386i | ||||
\(853\) | 12.5517 | − | 9.11932i | 0.429761 | − | 0.312240i | −0.351792 | − | 0.936078i | \(-0.614428\pi\) |
0.781553 | + | 0.623838i | \(0.214428\pi\) | |||||||
\(854\) | −0.149960 | + | 0.461530i | −0.00513153 | + | 0.0157932i | ||||
\(855\) | 10.1008 | − | 7.33866i | 0.345440 | − | 0.250977i | ||||
\(856\) | 15.9265 | + | 11.5713i | 0.544358 | + | 0.395499i | ||||
\(857\) | −6.02128 | − | 18.5316i | −0.205683 | − | 0.633028i | −0.999685 | − | 0.0251118i | \(-0.992006\pi\) |
0.794002 | − | 0.607916i | \(-0.207994\pi\) | |||||||
\(858\) | −1.72316 | − | 1.25195i | −0.0588277 | − | 0.0427408i | ||||
\(859\) | 15.2607 | − | 46.9677i | 0.520690 | − | 1.60252i | −0.251996 | − | 0.967728i | \(-0.581087\pi\) |
0.772685 | − | 0.634789i | \(-0.218913\pi\) | |||||||
\(860\) | −6.15838 | + | 18.9535i | −0.209999 | + | 0.646310i | ||||
\(861\) | −0.396862 | − | 1.22141i | −0.0135250 | − | 0.0416257i | ||||
\(862\) | −6.94113 | −0.236416 | ||||||||
\(863\) | 2.61522 | 0.0890232 | 0.0445116 | − | 0.999009i | \(-0.485827\pi\) | ||||
0.0445116 | + | 0.999009i | \(0.485827\pi\) | |||||||
\(864\) | 3.29315 | + | 10.1353i | 0.112035 | + | 0.344809i | ||||
\(865\) | −6.72593 | + | 4.88668i | −0.228689 | + | 0.166152i | ||||
\(866\) | 9.08562 | + | 6.60109i | 0.308742 | + | 0.224314i | ||||
\(867\) | −7.02944 | −0.238732 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −21.9117 | −0.743303 | ||||||||
\(870\) | 0.947822 | + | 0.688633i | 0.0321342 | + | 0.0233469i | ||||
\(871\) | −10.0433 | + | 7.29689i | −0.340305 | + | 0.247246i | ||||
\(872\) | 5.30631 | + | 16.3311i | 0.179694 | + | 0.553042i | ||||
\(873\) | −14.6274 | −0.495063 | ||||||||
\(874\) | 7.31371 | 0.247390 | ||||||||
\(875\) | 1.15199 | + | 3.54546i | 0.0389444 | + | 0.119859i | ||||
\(876\) | 0.427919 | − | 1.31700i | 0.0144581 | − | 0.0444973i | ||||
\(877\) | 16.6339 | − | 51.1939i | 0.561687 | − | 1.72869i | −0.115909 | − | 0.993260i | \(-0.536978\pi\) |
0.677596 | − | 0.735435i | \(-0.263022\pi\) | |||||||
\(878\) | −0.694027 | − | 0.504240i | −0.0234223 | − | 0.0170173i | ||||
\(879\) | −1.89426 | − | 5.82992i | −0.0638917 | − | 0.196638i | ||||
\(880\) | 7.87005 | + | 5.71793i | 0.265299 | + | 0.192751i | ||||
\(881\) | 9.45441 | − | 6.86903i | 0.318527 | − | 0.231423i | −0.417020 | − | 0.908897i | \(-0.636925\pi\) |
0.735547 | + | 0.677474i | \(0.236925\pi\) | |||||||
\(882\) | 2.47214 | − | 7.60845i | 0.0832411 | − | 0.256190i | ||||
\(883\) | −24.5005 | + | 17.8006i | −0.824507 | + | 0.599040i | −0.918000 | − | 0.396580i | \(-0.870197\pi\) |
0.0934928 | + | 0.995620i | \(0.470197\pi\) | |||||||
\(884\) | 33.0071 | − | 23.9810i | 1.11015 | − | 0.806570i | ||||
\(885\) | −0.521093 | + | 1.60376i | −0.0175163 | + | 0.0539098i | ||||
\(886\) | 1.59422 | − | 1.15827i | 0.0535588 | − | 0.0389128i | ||||
\(887\) | 41.5235 | + | 30.1686i | 1.39422 | + | 1.01296i | 0.995387 | + | 0.0959407i | \(0.0305859\pi\) |
0.398837 | + | 0.917022i | \(0.369414\pi\) | |||||||
\(888\) | −0.202979 | − | 0.624706i | −0.00681153 | − | 0.0209637i | ||||
\(889\) | −2.98227 | − | 2.16675i | −0.100022 | − | 0.0726704i | ||||
\(890\) | −0.574112 | + | 1.76693i | −0.0192443 | + | 0.0592278i | ||||
\(891\) | −7.50048 | + | 23.0841i | −0.251276 | + | 0.773347i | ||||
\(892\) | −13.4066 | − | 41.2614i | −0.448887 | − | 1.38153i | ||||
\(893\) | 42.6274 | 1.42647 | ||||||||
\(894\) | −0.171573 | −0.00573826 | ||||||||
\(895\) | 4.71024 | + | 14.4966i | 0.157446 | + | 0.484568i | ||||
\(896\) | −3.53749 | + | 2.57014i | −0.118179 | + | 0.0858623i | ||||
\(897\) | 5.13171 | + | 3.72841i | 0.171343 | + | 0.124488i | ||||
\(898\) | 16.8284 | 0.561572 | ||||||||
\(899\) | 0 | 0 | ||||||||
\(900\) | −20.6863 | −0.689543 | ||||||||
\(901\) | 27.4828 | + | 19.9674i | 0.915584 | + | 0.665210i | ||||
\(902\) | −8.13371 | + | 5.90949i | −0.270823 | + | 0.196764i | ||||
\(903\) | 0.577880 | + | 1.77853i | 0.0192306 | + | 0.0591858i | ||||
\(904\) | −26.4142 | −0.878524 | ||||||||
\(905\) | −12.3137 | −0.409322 | ||||||||
\(906\) | 0.281727 | + | 0.867067i | 0.00935976 | + | 0.0288064i | ||||
\(907\) | 10.1006 | − | 31.0865i | 0.335386 | − | 1.03221i | −0.631146 | − | 0.775664i | \(-0.717415\pi\) |
0.966532 | − | 0.256547i | \(-0.0825848\pi\) | |||||||
\(908\) | 10.4043 | − | 32.0212i | 0.345279 | − | 1.06266i | ||||
\(909\) | −19.4164 | − | 14.1068i | −0.644002 | − | 0.467895i | ||||
\(910\) | −0.202979 | − | 0.624706i | −0.00672869 | − | 0.0207088i | ||||
\(911\) | 0.775337 | + | 0.563315i | 0.0256881 | + | 0.0186635i | 0.600555 | − | 0.799583i | \(-0.294946\pi\) |
−0.574867 | + | 0.818247i | \(0.694946\pi\) | |||||||
\(912\) | 4.43769 | − | 3.22417i | 0.146946 | − | 0.106763i | ||||
\(913\) | −10.0915 | + | 31.0585i | −0.333981 | + | 1.02789i | ||||
\(914\) | −10.4260 | + | 7.57497i | −0.344863 | + | 0.250558i | ||||
\(915\) | 0.947822 | − | 0.688633i | 0.0313340 | − | 0.0227655i | ||||
\(916\) | −3.09927 | + | 9.53856i | −0.102403 | + | 0.315163i | ||||
\(917\) | −4.43769 | + | 3.22417i | −0.146545 | + | 0.106471i | ||||
\(918\) | −4.71530 | − | 3.42586i | −0.155628 | − | 0.113070i | ||||
\(919\) | −10.7845 | − | 33.1914i | −0.355749 | − | 1.09488i | −0.955574 | − | 0.294752i | \(-0.904763\pi\) |
0.599825 | − | 0.800131i | \(-0.295237\pi\) | |||||||
\(920\) | 5.13171 | + | 3.72841i | 0.169188 | + | 0.122922i | ||||
\(921\) | 1.43905 | − | 4.42893i | 0.0474182 | − | 0.145938i | ||||
\(922\) | 0.274191 | − | 0.843874i | 0.00903001 | − | 0.0277915i | ||||
\(923\) | 0.0840767 | + | 0.258761i | 0.00276742 | + | 0.00851724i | ||||
\(924\) | 1.01724 | 0.0334649 | ||||||||
\(925\) | 4.00000 | 0.131519 | ||||||||
\(926\) | 1.14822 | + | 3.53387i | 0.0377330 | + | 0.116130i | ||||
\(927\) | 4.73911 | − | 3.44317i | 0.155653 | − | 0.113088i | ||||
\(928\) | −24.3855 | − | 17.7171i | −0.800493 | − | 0.581592i | ||||
\(929\) | −7.51472 | −0.246550 | −0.123275 | − | 0.992373i | \(-0.539340\pi\) | ||||
−0.123275 | + | 0.992373i | \(0.539340\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −30.1421 | −0.987869 | ||||||||
\(932\) | −13.5669 | − | 9.85690i | −0.444397 | − | 0.322873i | ||||
\(933\) | 3.79129 | − | 2.75453i | 0.124121 | − | 0.0901794i | ||||
\(934\) | −1.02399 | − | 3.15152i | −0.0335060 | − | 0.103121i | ||||
\(935\) | −18.8995 | −0.618080 | ||||||||
\(936\) | 17.1716 | 0.561270 | ||||||||
\(937\) | 4.84733 | + | 14.9185i | 0.158355 | + | 0.487368i | 0.998485 | − | 0.0550173i | \(-0.0175214\pi\) |
−0.840130 | + | 0.542385i | \(0.817521\pi\) | |||||||
\(938\) | −0.171921 | + | 0.529120i | −0.00561343 | + | 0.0172764i | ||||
\(939\) | −0.234037 | + | 0.720292i | −0.00763751 | + | 0.0235058i | ||||
\(940\) | 14.2847 | + | 10.3784i | 0.465915 | + | 0.338507i | ||||
\(941\) | 10.8156 | + | 33.2870i | 0.352578 | + | 1.08512i | 0.957400 | + | 0.288764i | \(0.0932442\pi\) |
−0.604822 | + | 0.796361i | \(0.706756\pi\) | |||||||
\(942\) | 1.27306 | + | 0.924935i | 0.0414787 | + | 0.0301360i | ||||
\(943\) | 24.2229 | − | 17.5990i | 0.788805 | − | 0.573101i | ||||
\(944\) | 3.77409 | − | 11.6154i | 0.122836 | − | 0.378051i | ||||
\(945\) | 0.809017 | − | 0.587785i | 0.0263173 | − | 0.0191207i | ||||
\(946\) | 11.8437 | − | 8.60495i | 0.385072 | − | 0.279771i | ||||
\(947\) | −5.90238 | + | 18.1657i | −0.191802 | + | 0.590305i | 0.808197 | + | 0.588912i | \(0.200443\pi\) |
−0.999999 | + | 0.00139299i | \(0.999557\pi\) | |||||||
\(948\) | −4.14035 | + | 3.00814i | −0.134472 | + | 0.0976998i | ||||
\(949\) | −5.66312 | − | 4.11450i | −0.183833 | − | 0.133562i | ||||
\(950\) | −2.26006 | − | 6.95575i | −0.0733260 | − | 0.225674i | ||||
\(951\) | −2.62335 | − | 1.90598i | −0.0850680 | − | 0.0618055i | ||||
\(952\) | 1.18305 | − | 3.64105i | 0.0383428 | − | 0.118007i | ||||
\(953\) | −1.08611 | + | 3.34270i | −0.0351825 | + | 0.108281i | −0.967106 | − | 0.254376i | \(-0.918130\pi\) |
0.931923 | + | 0.362656i | \(0.118130\pi\) | |||||||
\(954\) | 2.11010 | + | 6.49422i | 0.0683170 | + | 0.210258i | ||||
\(955\) | −20.8995 | −0.676292 | ||||||||
\(956\) | −38.8406 | −1.25620 | ||||||||
\(957\) | 2.83417 | + | 8.72268i | 0.0916158 | + | 0.281964i | ||||
\(958\) | 5.27052 | − | 3.82926i | 0.170283 | − | 0.123718i | ||||
\(959\) | −3.17857 | − | 2.30937i | −0.102641 | − | 0.0745734i | ||||
\(960\) | 1.72792 | 0.0557684 | ||||||||
\(961\) | 0 | 0 | ||||||||
\(962\) | −1.58579 | −0.0511278 | ||||||||
\(963\) | 28.4068 | + | 20.6387i | 0.915395 | + | 0.665074i | ||||
\(964\) | −19.7376 | + | 14.3402i | −0.635704 | + | 0.461866i | ||||
\(965\) | 2.20704 | + | 6.79257i | 0.0710472 | + | 0.218661i | ||||
\(966\) | 0.284271 | 0.00914628 | ||||||||
\(967\) | 15.4437 | 0.496634 | 0.248317 | − | 0.968679i | \(-0.420122\pi\) | ||||
0.248317 | + | 0.968679i | \(0.420122\pi\) | |||||||
\(968\) | 0.237805 | + | 0.731888i | 0.00764334 | + | 0.0235238i | ||||
\(969\) | −3.29315 | + | 10.1353i | −0.105791 | + | 0.325592i | ||||
\(970\) | 0.661956 | − | 2.03729i | 0.0212541 | − | 0.0654135i | ||||
\(971\) | 0.565086 | + | 0.410559i | 0.0181345 | + | 0.0131755i | 0.596816 | − | 0.802378i | \(-0.296432\pi\) |
−0.578681 | + | 0.815554i | \(0.696432\pi\) | |||||||
\(972\) | 5.84403 | + | 17.9861i | 0.187447 | + | 0.576904i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 6.49595 | − | 4.71958i | 0.208144 | − | 0.151225i | ||||
\(975\) | 1.96014 | − | 6.03269i | 0.0627747 | − | 0.193201i | ||||
\(976\) | −6.86474 | + | 4.98752i | −0.219735 | + | 0.159647i | ||||
\(977\) | 0.392601 | − | 0.285241i | 0.0125604 | − | 0.00912568i | −0.581487 | − | 0.813555i | \(-0.697529\pi\) |
0.594048 | + | 0.804430i | \(0.297529\pi\) | |||||||
\(978\) | −1.11184 | + | 3.42188i | −0.0355526 | + | 0.109420i | ||||
\(979\) | −11.7665 | + | 8.54884i | −0.376058 | + | 0.273222i | ||||
\(980\) | −10.1008 | − | 7.33866i | −0.322658 | − | 0.234425i | ||||
\(981\) | 9.46439 | + | 29.1284i | 0.302175 | + | 0.929998i | ||||
\(982\) | 0.531406 | + | 0.386089i | 0.0169579 | + | 0.0123206i | ||||
\(983\) | 12.0024 | − | 36.9396i | 0.382817 | − | 1.17819i | −0.555234 | − | 0.831694i | \(-0.687371\pi\) |
0.938051 | − | 0.346497i | \(-0.112629\pi\) | |||||||
\(984\) | −1.51936 | + | 4.67610i | −0.0484353 | + | 0.149069i | ||||
\(985\) | 4.16718 | + | 12.8253i | 0.132777 | + | 0.408647i | ||||
\(986\) | 16.4853 | 0.524998 | ||||||||
\(987\) | 1.65685 | 0.0527383 | ||||||||
\(988\) | −9.54847 | − | 29.3872i | −0.303777 | − | 0.934930i | ||||
\(989\) | −35.2715 | + | 25.6262i | −1.12157 | + | 0.814867i | ||||
\(990\) | −3.07345 | − | 2.23299i | −0.0976806 | − | 0.0709691i | ||||
\(991\) | −47.9411 | −1.52290 | −0.761450 | − | 0.648224i | \(-0.775512\pi\) | ||||
−0.761450 | + | 0.648224i | \(0.775512\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 3.82843 | 0.121491 | ||||||||
\(994\) | 0.00986459 | + | 0.00716705i | 0.000312886 | + | 0.000227325i | ||||
\(995\) | 14.8974 | − | 10.8236i | 0.472280 | − | 0.343131i | ||||
\(996\) | 2.35700 | + | 7.25410i | 0.0746844 | + | 0.229855i | ||||
\(997\) | 32.5980 | 1.03239 | 0.516194 | − | 0.856472i | \(-0.327348\pi\) | ||||
0.516194 | + | 0.856472i | \(0.327348\pi\) | |||||||
\(998\) | 0.916739 | 0.0290189 | ||||||||
\(999\) | −0.746033 | − | 2.29605i | −0.0236034 | − | 0.0726439i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))