Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [529,2,Mod(118,529)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(529, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("529.118");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 529 = 23^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 529.c (of order \(11\), degree \(10\), 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: | \(4.22408626693\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{11})\) |
Coefficient field: | 20.0.54296067514572573056640625.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - x^{19} + 2 x^{18} - 3 x^{17} + 5 x^{16} - 8 x^{15} + 13 x^{14} - 21 x^{13} + 34 x^{12} + \cdots + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 23) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 487.2 | ||
Root | \(-0.0879554 + 0.611743i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 529.487 |
Dual form | 529.2.c.n.466.2 |
$q$-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 \(\left(\mathbb{Z}/529\mathbb{Z}\right)^\times\).
\(n\) | \(5\) |
\(\chi(n)\) | \(e\left(\frac{2}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.256741 | + | 0.562183i | 0.181543 | + | 0.397524i | 0.978422 | − | 0.206615i | \(-0.0662447\pi\) |
−0.796879 | + | 0.604138i | \(0.793517\pi\) | |||||||
\(3\) | 2.14549 | − | 0.629973i | 1.23870 | − | 0.363715i | 0.404173 | − | 0.914682i | \(-0.367559\pi\) |
0.834527 | + | 0.550967i | \(0.185741\pi\) | |||||||
\(4\) | 1.05959 | − | 1.22283i | 0.529793 | − | 0.611414i | ||||
\(5\) | −1.03985 | − | 0.668269i | −0.465034 | − | 0.298859i | 0.287063 | − | 0.957912i | \(-0.407321\pi\) |
−0.752097 | + | 0.659053i | \(0.770957\pi\) | |||||||
\(6\) | 0.904995 | + | 1.04442i | 0.369463 | + | 0.426383i | ||||
\(7\) | 0.460540 | + | 3.20313i | 0.174068 | + | 1.21067i | 0.870179 | + | 0.492735i | \(0.164003\pi\) |
−0.696111 | + | 0.717934i | \(0.745088\pi\) | |||||||
\(8\) | 2.14549 | + | 0.629973i | 0.758546 | + | 0.222729i | ||||
\(9\) | 1.68251 | − | 1.08128i | 0.560836 | − | 0.360427i | ||||
\(10\) | 0.108719 | − | 0.756156i | 0.0343799 | − | 0.239118i | ||||
\(11\) | 2.17514 | − | 4.76289i | 0.655830 | − | 1.43607i | −0.230528 | − | 0.973066i | \(-0.574045\pi\) |
0.886358 | − | 0.463001i | \(-0.153227\pi\) | |||||||
\(12\) | 1.50299 | − | 3.29108i | 0.433875 | − | 0.950053i | ||||
\(13\) | −0.426945 | + | 2.96946i | −0.118413 | + | 0.823581i | 0.840891 | + | 0.541205i | \(0.182032\pi\) |
−0.959304 | + | 0.282376i | \(0.908877\pi\) | |||||||
\(14\) | −1.68251 | + | 1.08128i | −0.449669 | + | 0.288985i | ||||
\(15\) | −2.65197 | − | 0.778690i | −0.684737 | − | 0.201057i | ||||
\(16\) | −0.263866 | − | 1.83523i | −0.0659666 | − | 0.458807i | ||||
\(17\) | 0.500269 | + | 0.577341i | 0.121333 | + | 0.140026i | 0.813166 | − | 0.582032i | \(-0.197742\pi\) |
−0.691833 | + | 0.722058i | \(0.743197\pi\) | |||||||
\(18\) | 1.03985 | + | 0.668269i | 0.245094 | + | 0.157512i | ||||
\(19\) | −1.30972 | + | 1.51150i | −0.300471 | + | 0.346762i | −0.885828 | − | 0.464014i | \(-0.846409\pi\) |
0.585357 | + | 0.810775i | \(0.300954\pi\) | |||||||
\(20\) | −1.91899 | + | 0.563465i | −0.429098 | + | 0.125995i | ||||
\(21\) | 3.00597 | + | 6.58216i | 0.655957 | + | 1.43634i | ||||
\(22\) | 3.23607 | 0.689932 | ||||||||
\(23\) | 0 | 0 | ||||||||
\(24\) | 5.00000 | 1.02062 | ||||||||
\(25\) | −1.44238 | − | 3.15837i | −0.288475 | − | 0.631673i | ||||
\(26\) | −1.77900 | + | 0.522361i | −0.348890 | + | 0.102443i | ||||
\(27\) | −1.46431 | + | 1.68991i | −0.281807 | + | 0.325223i | ||||
\(28\) | 4.40486 | + | 2.83083i | 0.832440 | + | 0.534977i | ||||
\(29\) | 1.96458 | + | 2.26725i | 0.364814 | + | 0.421018i | 0.908247 | − | 0.418435i | \(-0.137421\pi\) |
−0.543433 | + | 0.839453i | \(0.682876\pi\) | |||||||
\(30\) | −0.243103 | − | 1.69082i | −0.0443843 | − | 0.308700i | ||||
\(31\) | −6.43647 | − | 1.88992i | −1.15602 | − | 0.339440i | −0.353138 | − | 0.935571i | \(-0.614885\pi\) |
−0.802887 | + | 0.596132i | \(0.796704\pi\) | |||||||
\(32\) | 4.72619 | − | 3.03734i | 0.835480 | − | 0.536931i | ||||
\(33\) | 1.66625 | − | 11.5890i | 0.290057 | − | 2.01739i | ||||
\(34\) | −0.196132 | + | 0.429470i | −0.0336364 | + | 0.0736535i | ||||
\(35\) | 1.66166 | − | 3.63853i | 0.280872 | − | 0.615023i | ||||
\(36\) | 0.460540 | − | 3.20313i | 0.0767567 | − | 0.533855i | ||||
\(37\) | 1.03985 | − | 0.668269i | 0.170950 | − | 0.109863i | −0.452368 | − | 0.891831i | \(-0.649421\pi\) |
0.623318 | + | 0.781969i | \(0.285784\pi\) | |||||||
\(38\) | −1.18600 | − | 0.348241i | −0.192394 | − | 0.0564921i | ||||
\(39\) | 0.954677 | + | 6.63992i | 0.152871 | + | 1.06324i | ||||
\(40\) | −1.80999 | − | 2.08884i | −0.286185 | − | 0.330275i | ||||
\(41\) | −2.92095 | − | 1.87718i | −0.456175 | − | 0.293166i | 0.292303 | − | 0.956326i | \(-0.405579\pi\) |
−0.748478 | + | 0.663160i | \(0.769215\pi\) | |||||||
\(42\) | −2.92863 | + | 3.37981i | −0.451897 | + | 0.521517i | ||||
\(43\) | 0 | 0 | −0.281733 | − | 0.959493i | \(-0.590909\pi\) | ||||
0.281733 | + | 0.959493i | \(0.409091\pi\) | |||||||
\(44\) | −3.51945 | − | 7.70653i | −0.530577 | − | 1.16180i | ||||
\(45\) | −2.47214 | −0.368524 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −2.23607 | −0.326164 | −0.163082 | − | 0.986613i | \(-0.552144\pi\) | ||||
−0.163082 | + | 0.986613i | \(0.552144\pi\) | |||||||
\(48\) | −1.72227 | − | 3.77124i | −0.248588 | − | 0.544332i | ||||
\(49\) | −3.33149 | + | 0.978214i | −0.475927 | + | 0.139745i | ||||
\(50\) | 1.40526 | − | 1.62176i | 0.198734 | − | 0.229352i | ||||
\(51\) | 1.43703 | + | 0.923525i | 0.201225 | + | 0.129319i | ||||
\(52\) | 3.17876 | + | 3.66849i | 0.440815 | + | 0.508727i | ||||
\(53\) | 0.0671920 | + | 0.467330i | 0.00922952 | + | 0.0641928i | 0.993916 | − | 0.110144i | \(-0.0351311\pi\) |
−0.984686 | + | 0.174336i | \(0.944222\pi\) | |||||||
\(54\) | −1.32599 | − | 0.389345i | −0.180444 | − | 0.0529831i | ||||
\(55\) | −5.44471 | + | 3.49910i | −0.734164 | + | 0.471819i | ||||
\(56\) | −1.02980 | + | 7.16242i | −0.137613 | + | 0.957118i | ||||
\(57\) | −1.85779 | + | 4.06800i | −0.246071 | + | 0.538819i | ||||
\(58\) | −0.770222 | + | 1.68655i | −0.101135 | + | 0.221455i | ||||
\(59\) | −0.921081 | + | 6.40626i | −0.119915 | + | 0.834024i | 0.837733 | + | 0.546080i | \(0.183881\pi\) |
−0.957647 | + | 0.287944i | \(0.907028\pi\) | |||||||
\(60\) | −3.76220 | + | 2.41782i | −0.485698 | + | 0.312139i | ||||
\(61\) | −6.66298 | − | 1.95643i | −0.853107 | − | 0.250495i | −0.174192 | − | 0.984712i | \(-0.555731\pi\) |
−0.678915 | + | 0.734217i | \(0.737550\pi\) | |||||||
\(62\) | −0.590023 | − | 4.10370i | −0.0749330 | − | 0.521170i | ||||
\(63\) | 4.23835 | + | 4.89131i | 0.533982 | + | 0.616248i | ||||
\(64\) | −0.198593 | − | 0.127628i | −0.0248241 | − | 0.0159535i | ||||
\(65\) | 2.42836 | − | 2.80247i | 0.301201 | − | 0.347604i | ||||
\(66\) | 6.94296 | − | 2.03864i | 0.854619 | − | 0.250939i | ||||
\(67\) | 1.14818 | + | 2.51416i | 0.140272 | + | 0.307154i | 0.966710 | − | 0.255875i | \(-0.0823635\pi\) |
−0.826438 | + | 0.563028i | \(0.809636\pi\) | |||||||
\(68\) | 1.23607 | 0.149895 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 2.47214 | 0.295477 | ||||||||
\(71\) | 5.08305 | + | 11.1303i | 0.603247 | + | 1.32093i | 0.927098 | + | 0.374818i | \(0.122295\pi\) |
−0.323852 | + | 0.946108i | \(0.604978\pi\) | |||||||
\(72\) | 4.29098 | − | 1.25995i | 0.505697 | − | 0.148486i | ||||
\(73\) | −4.27484 | + | 4.93343i | −0.500332 | + | 0.577414i | −0.948597 | − | 0.316487i | \(-0.897497\pi\) |
0.448265 | + | 0.893901i | \(0.352042\pi\) | |||||||
\(74\) | 0.642661 | + | 0.413013i | 0.0747078 | + | 0.0480118i | ||||
\(75\) | −5.08429 | − | 5.86759i | −0.587084 | − | 0.677531i | ||||
\(76\) | 0.460540 | + | 3.20313i | 0.0528276 | + | 0.367424i | ||||
\(77\) | 16.2579 | + | 4.77375i | 1.85276 | + | 0.544020i | ||||
\(78\) | −3.48775 | + | 2.24144i | −0.394910 | + | 0.253793i | ||||
\(79\) | −1.55753 | + | 10.8329i | −0.175236 | + | 1.21879i | 0.692370 | + | 0.721542i | \(0.256566\pi\) |
−0.867606 | + | 0.497251i | \(0.834343\pi\) | |||||||
\(80\) | −0.952046 | + | 2.08469i | −0.106442 | + | 0.233076i | ||||
\(81\) | −4.56957 | + | 10.0060i | −0.507729 | + | 1.11177i | ||||
\(82\) | 0.305393 | − | 2.12406i | 0.0337250 | − | 0.234563i | ||||
\(83\) | 7.37269 | − | 4.73814i | 0.809258 | − | 0.520078i | −0.0693670 | − | 0.997591i | \(-0.522098\pi\) |
0.878625 | + | 0.477513i | \(0.158462\pi\) | |||||||
\(84\) | 11.2339 | + | 3.29858i | 1.22572 | + | 0.359905i | ||||
\(85\) | −0.134384 | − | 0.934661i | −0.0145760 | − | 0.101378i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 5.64330 | + | 3.62673i | 0.605025 | + | 0.388826i | ||||
\(88\) | 7.66724 | − | 8.84847i | 0.817331 | − | 0.943250i | ||||
\(89\) | −10.0479 | + | 2.95034i | −1.06508 | + | 0.312736i | −0.766895 | − | 0.641773i | \(-0.778199\pi\) |
−0.298185 | + | 0.954508i | \(0.596381\pi\) | |||||||
\(90\) | −0.634698 | − | 1.38979i | −0.0669030 | − | 0.146497i | ||||
\(91\) | −9.70820 | −1.01770 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −15.0000 | −1.55543 | ||||||||
\(94\) | −0.574089 | − | 1.25708i | −0.0592128 | − | 0.129658i | ||||
\(95\) | 2.37200 | − | 0.696481i | 0.243362 | − | 0.0714575i | ||||
\(96\) | 8.22656 | − | 9.49396i | 0.839620 | − | 0.968973i | ||||
\(97\) | −14.8971 | − | 9.57378i | −1.51257 | − | 0.972070i | −0.993060 | − | 0.117605i | \(-0.962478\pi\) |
−0.519510 | − | 0.854464i | \(-0.673885\pi\) | |||||||
\(98\) | −1.40526 | − | 1.62176i | −0.141953 | − | 0.163823i | ||||
\(99\) | −1.49034 | − | 10.3655i | −0.149785 | − | 1.04178i | ||||
\(100\) | −5.39046 | − | 1.58278i | −0.539046 | − | 0.158278i | ||||
\(101\) | 3.76220 | − | 2.41782i | 0.374353 | − | 0.240582i | −0.339912 | − | 0.940457i | \(-0.610397\pi\) |
0.714265 | + | 0.699875i | \(0.246761\pi\) | |||||||
\(102\) | −0.150246 | + | 1.04498i | −0.0148765 | + | 0.103469i | ||||
\(103\) | 1.73658 | − | 3.80257i | 0.171110 | − | 0.374678i | −0.804577 | − | 0.593849i | \(-0.797608\pi\) |
0.975687 | + | 0.219170i | \(0.0703350\pi\) | |||||||
\(104\) | −2.78669 | + | 6.10200i | −0.273257 | + | 0.598350i | ||||
\(105\) | 1.27290 | − | 8.85323i | 0.124223 | − | 0.863987i | ||||
\(106\) | −0.245474 | + | 0.157757i | −0.0238426 | + | 0.0153227i | ||||
\(107\) | 12.8729 | + | 3.77984i | 1.24447 | + | 0.365411i | 0.836695 | − | 0.547669i | \(-0.184485\pi\) |
0.407780 | + | 0.913080i | \(0.366303\pi\) | |||||||
\(108\) | 0.514900 | + | 3.58121i | 0.0495463 | + | 0.344602i | ||||
\(109\) | 0 | 0 | 0.755750 | − | 0.654861i | \(-0.227273\pi\) | ||||
−0.755750 | + | 0.654861i | \(0.772727\pi\) | |||||||
\(110\) | −3.36501 | − | 2.16256i | −0.320842 | − | 0.206192i | ||||
\(111\) | 1.80999 | − | 2.08884i | 0.171797 | − | 0.198264i | ||||
\(112\) | 5.75696 | − | 1.69040i | 0.543981 | − | 0.159727i | ||||
\(113\) | −3.64067 | − | 7.97195i | −0.342485 | − | 0.749938i | 0.657509 | − | 0.753447i | \(-0.271610\pi\) |
−0.999994 | + | 0.00350886i | \(0.998883\pi\) | |||||||
\(114\) | −2.76393 | −0.258866 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 4.85410 | 0.450692 | ||||||||
\(117\) | 2.49249 | + | 5.45779i | 0.230431 | + | 0.504573i | ||||
\(118\) | −3.83797 | + | 1.12693i | −0.353314 | + | 0.103742i | ||||
\(119\) | −1.61890 | + | 1.86832i | −0.148405 | + | 0.171268i | ||||
\(120\) | −5.19923 | − | 3.34134i | −0.474623 | − | 0.305022i | ||||
\(121\) | −10.7505 | − | 12.4067i | −0.977315 | − | 1.12788i | ||||
\(122\) | −0.610786 | − | 4.24811i | −0.0552980 | − | 0.384606i | ||||
\(123\) | −7.44944 | − | 2.18735i | −0.671693 | − | 0.197227i | ||||
\(124\) | −9.13105 | + | 5.86817i | −0.819993 | + | 0.526977i | ||||
\(125\) | −1.49034 | + | 10.3655i | −0.133300 | + | 0.927123i | ||||
\(126\) | −1.66166 | + | 3.63853i | −0.148032 | + | 0.324146i | ||||
\(127\) | −3.02912 | + | 6.63285i | −0.268791 | + | 0.588570i | −0.995108 | − | 0.0987892i | \(-0.968503\pi\) |
0.726317 | + | 0.687360i | \(0.241230\pi\) | |||||||
\(128\) | 1.61982 | − | 11.2661i | 0.143173 | − | 0.995793i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 2.19896 | + | 0.645674i | 0.192862 | + | 0.0566293i | ||||
\(131\) | −2.66246 | − | 18.5178i | −0.232620 | − | 1.61791i | −0.686697 | − | 0.726944i | \(-0.740940\pi\) |
0.454077 | − | 0.890962i | \(-0.349969\pi\) | |||||||
\(132\) | −12.4059 | − | 14.3171i | −1.07979 | − | 1.24615i | ||||
\(133\) | −5.44471 | − | 3.49910i | −0.472116 | − | 0.303411i | ||||
\(134\) | −1.11864 | + | 1.29097i | −0.0966354 | + | 0.111523i | ||||
\(135\) | 2.65197 | − | 0.778690i | 0.228246 | − | 0.0670189i | ||||
\(136\) | 0.709614 | + | 1.55384i | 0.0608489 | + | 0.133240i | ||||
\(137\) | 21.8885 | 1.87006 | 0.935032 | − | 0.354563i | \(-0.115370\pi\) | ||||
0.935032 | + | 0.354563i | \(0.115370\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −10.7082 | −0.908258 | −0.454129 | − | 0.890936i | \(-0.650049\pi\) | ||||
−0.454129 | + | 0.890936i | \(0.650049\pi\) | |||||||
\(140\) | −2.68862 | − | 5.88726i | −0.227230 | − | 0.497564i | ||||
\(141\) | −4.79746 | + | 1.40866i | −0.404019 | + | 0.118631i | ||||
\(142\) | −4.95226 | + | 5.71521i | −0.415584 | + | 0.479610i | ||||
\(143\) | 13.2146 | + | 8.49250i | 1.10506 | + | 0.710178i | ||||
\(144\) | −2.42836 | − | 2.80247i | −0.202363 | − | 0.233539i | ||||
\(145\) | −0.527732 | − | 3.67046i | −0.0438258 | − | 0.304815i | ||||
\(146\) | −3.87102 | − | 1.13663i | −0.320368 | − | 0.0940685i | ||||
\(147\) | −6.53144 | + | 4.19750i | −0.538704 | + | 0.346204i | ||||
\(148\) | 0.284630 | − | 1.97964i | 0.0233964 | − | 0.162726i | ||||
\(149\) | −9.92366 | + | 21.7298i | −0.812978 | + | 1.78017i | −0.218936 | + | 0.975739i | \(0.570259\pi\) |
−0.594042 | + | 0.804434i | \(0.702469\pi\) | |||||||
\(150\) | 1.99332 | − | 4.36475i | 0.162754 | − | 0.356381i | ||||
\(151\) | −0.602855 | + | 4.19295i | −0.0490597 | + | 0.341218i | 0.950477 | + | 0.310794i | \(0.100595\pi\) |
−0.999537 | + | 0.0304239i | \(0.990314\pi\) | |||||||
\(152\) | −3.76220 | + | 2.41782i | −0.305155 | + | 0.196111i | ||||
\(153\) | 1.46597 | + | 0.430449i | 0.118517 | + | 0.0347997i | ||||
\(154\) | 1.49034 | + | 10.3655i | 0.120095 | + | 0.835279i | ||||
\(155\) | 5.42997 | + | 6.26652i | 0.436146 | + | 0.503339i | ||||
\(156\) | 9.13105 | + | 5.86817i | 0.731069 | + | 0.469830i | ||||
\(157\) | −7.47616 | + | 8.62795i | −0.596662 | + | 0.688585i | −0.971102 | − | 0.238666i | \(-0.923290\pi\) |
0.374439 | + | 0.927251i | \(0.377835\pi\) | |||||||
\(158\) | −6.48995 | + | 1.90562i | −0.516312 | + | 0.151603i | ||||
\(159\) | 0.438565 | + | 0.960324i | 0.0347805 | + | 0.0761587i | ||||
\(160\) | −6.94427 | −0.548993 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −6.79837 | −0.534131 | ||||||||
\(163\) | −2.39442 | − | 5.24306i | −0.187546 | − | 0.410668i | 0.792381 | − | 0.610027i | \(-0.208841\pi\) |
−0.979927 | + | 0.199359i | \(0.936114\pi\) | |||||||
\(164\) | −5.39046 | + | 1.58278i | −0.420925 | + | 0.123595i | ||||
\(165\) | −9.47723 | + | 10.9373i | −0.737802 | + | 0.851468i | ||||
\(166\) | 4.55657 | + | 2.92833i | 0.353659 | + | 0.227283i | ||||
\(167\) | −1.00054 | − | 1.15468i | −0.0774240 | − | 0.0893520i | 0.715716 | − | 0.698392i | \(-0.246101\pi\) |
−0.793140 | + | 0.609039i | \(0.791555\pi\) | |||||||
\(168\) | 2.30270 | + | 16.0156i | 0.177657 | + | 1.23563i | ||||
\(169\) | 3.83797 | + | 1.12693i | 0.295229 | + | 0.0866869i | ||||
\(170\) | 0.490949 | − | 0.315514i | 0.0376541 | − | 0.0241988i | ||||
\(171\) | −0.569259 | + | 3.95929i | −0.0435324 | + | 0.302774i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 9.53140 | − | 20.8708i | 0.724659 | − | 1.58678i | −0.0825999 | − | 0.996583i | \(-0.526322\pi\) |
0.807258 | − | 0.590198i | \(-0.200950\pi\) | |||||||
\(174\) | −0.590023 | + | 4.10370i | −0.0447295 | + | 0.311101i | ||||
\(175\) | 9.45238 | − | 6.07468i | 0.714533 | − | 0.459202i | ||||
\(176\) | −9.31495 | − | 2.73512i | −0.702141 | − | 0.206167i | ||||
\(177\) | 2.05960 | + | 14.3248i | 0.154809 | + | 1.07672i | ||||
\(178\) | −4.23835 | − | 4.89131i | −0.317678 | − | 0.366619i | ||||
\(179\) | 0.595779 | + | 0.382884i | 0.0445306 | + | 0.0286181i | 0.562717 | − | 0.826650i | \(-0.309756\pi\) |
−0.518186 | + | 0.855268i | \(0.673393\pi\) | |||||||
\(180\) | −2.61944 | + | 3.02300i | −0.195242 | + | 0.225321i | ||||
\(181\) | 15.9779 | − | 4.69154i | 1.18763 | − | 0.348720i | 0.372519 | − | 0.928024i | \(-0.378494\pi\) |
0.815111 | + | 0.579305i | \(0.196676\pi\) | |||||||
\(182\) | −2.49249 | − | 5.45779i | −0.184756 | − | 0.404558i | ||||
\(183\) | −15.5279 | −1.14785 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −1.52786 | −0.112331 | ||||||||
\(186\) | −3.85111 | − | 8.43275i | −0.282377 | − | 0.618319i | ||||
\(187\) | 3.83797 | − | 1.12693i | 0.280660 | − | 0.0824093i | ||||
\(188\) | −2.36931 | + | 2.73433i | −0.172800 | + | 0.199421i | ||||
\(189\) | −6.08737 | − | 3.91211i | −0.442791 | − | 0.284564i | ||||
\(190\) | 1.00054 | + | 1.15468i | 0.0725867 | + | 0.0837695i | ||||
\(191\) | −3.72585 | − | 25.9139i | −0.269593 | − | 1.87506i | −0.452260 | − | 0.891886i | \(-0.649382\pi\) |
0.182667 | − | 0.983175i | \(-0.441527\pi\) | |||||||
\(192\) | −0.506482 | − | 0.148716i | −0.0365522 | − | 0.0107327i | ||||
\(193\) | 8.36565 | − | 5.37628i | 0.602173 | − | 0.386993i | −0.203742 | − | 0.979025i | \(-0.565310\pi\) |
0.805915 | + | 0.592032i | \(0.201674\pi\) | |||||||
\(194\) | 1.55753 | − | 10.8329i | 0.111824 | − | 0.777755i | ||||
\(195\) | 3.44454 | − | 7.54248i | 0.246668 | − | 0.540128i | ||||
\(196\) | −2.33382 | + | 5.11034i | −0.166701 | + | 0.365025i | ||||
\(197\) | 0.209507 | − | 1.45715i | 0.0149267 | − | 0.103818i | −0.980996 | − | 0.194028i | \(-0.937845\pi\) |
0.995923 | + | 0.0902101i | \(0.0287539\pi\) | |||||||
\(198\) | 5.44471 | − | 3.49910i | 0.386938 | − | 0.248670i | ||||
\(199\) | −11.7939 | − | 3.46300i | −0.836047 | − | 0.245485i | −0.164434 | − | 0.986388i | \(-0.552580\pi\) |
−0.671613 | + | 0.740903i | \(0.734398\pi\) | |||||||
\(200\) | −1.10492 | − | 7.68491i | −0.0781298 | − | 0.543405i | ||||
\(201\) | 4.04726 | + | 4.67079i | 0.285472 | + | 0.329452i | ||||
\(202\) | 2.32517 | + | 1.49429i | 0.163598 | + | 0.105138i | ||||
\(203\) | −6.35752 | + | 7.33697i | −0.446211 | + | 0.514954i | ||||
\(204\) | 2.65197 | − | 0.778690i | 0.185675 | − | 0.0545192i | ||||
\(205\) | 1.78288 | + | 3.90396i | 0.124521 | + | 0.272664i | ||||
\(206\) | 2.58359 | 0.180007 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 5.56231 | 0.385677 | ||||||||
\(209\) | 4.35028 | + | 9.52579i | 0.300915 | + | 0.658913i | ||||
\(210\) | 5.30395 | − | 1.55738i | 0.366007 | − | 0.107469i | ||||
\(211\) | 15.3345 | − | 17.6969i | 1.05567 | − | 1.21831i | 0.0805216 | − | 0.996753i | \(-0.474341\pi\) |
0.975148 | − | 0.221555i | \(-0.0711132\pi\) | |||||||
\(212\) | 0.642661 | + | 0.413013i | 0.0441381 | + | 0.0283658i | ||||
\(213\) | 17.9174 | + | 20.6778i | 1.22768 | + | 1.41682i | ||||
\(214\) | 1.18005 | + | 8.20740i | 0.0806663 | + | 0.561046i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −4.20627 | + | 2.70320i | −0.286200 | + | 0.183930i | ||||
\(217\) | 3.08940 | − | 21.4872i | 0.209722 | − | 1.45865i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −6.06371 | + | 13.2777i | −0.409747 | + | 0.897222i | ||||
\(220\) | −1.49034 | + | 10.3655i | −0.100479 | + | 0.698845i | ||||
\(221\) | −1.92798 | + | 1.23904i | −0.129690 | + | 0.0833467i | ||||
\(222\) | 1.63901 | + | 0.481257i | 0.110003 | + | 0.0322998i | ||||
\(223\) | −0.569259 | − | 3.95929i | −0.0381204 | − | 0.265133i | 0.961844 | − | 0.273599i | \(-0.0882142\pi\) |
−0.999964 | + | 0.00846600i | \(0.997305\pi\) | |||||||
\(224\) | 11.9056 | + | 13.7398i | 0.795476 | + | 0.918028i | ||||
\(225\) | −5.84189 | − | 3.75436i | −0.389460 | − | 0.250290i | ||||
\(226\) | 3.54699 | − | 4.09345i | 0.235942 | − | 0.272292i | ||||
\(227\) | −11.6870 | + | 3.43160i | −0.775690 | + | 0.227763i | −0.645535 | − | 0.763730i | \(-0.723366\pi\) |
−0.130155 | + | 0.991494i | \(0.541547\pi\) | |||||||
\(228\) | 3.00597 | + | 6.58216i | 0.199075 | + | 0.435914i | ||||
\(229\) | 12.0000 | 0.792982 | 0.396491 | − | 0.918039i | \(-0.370228\pi\) | ||||
0.396491 | + | 0.918039i | \(0.370228\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 37.8885 | 2.49288 | ||||||||
\(232\) | 2.78669 | + | 6.10200i | 0.182955 | + | 0.400616i | ||||
\(233\) | 6.26344 | − | 1.83911i | 0.410332 | − | 0.120484i | −0.0700507 | − | 0.997543i | \(-0.522316\pi\) |
0.480382 | + | 0.877059i | \(0.340498\pi\) | |||||||
\(234\) | −2.42836 | + | 2.80247i | −0.158747 | + | 0.183203i | ||||
\(235\) | 2.32517 | + | 1.49429i | 0.151677 | + | 0.0974770i | ||||
\(236\) | 6.85779 | + | 7.91431i | 0.446404 | + | 0.515178i | ||||
\(237\) | 3.48275 | + | 24.2230i | 0.226229 | + | 1.57346i | ||||
\(238\) | −1.46597 | − | 0.430449i | −0.0950250 | − | 0.0279019i | ||||
\(239\) | 11.5790 | − | 7.44134i | 0.748980 | − | 0.481340i | −0.109628 | − | 0.993973i | \(-0.534966\pi\) |
0.858608 | + | 0.512632i | \(0.171330\pi\) | |||||||
\(240\) | −0.729308 | + | 5.07245i | −0.0470766 | + | 0.327425i | ||||
\(241\) | 9.60631 | − | 21.0349i | 0.618797 | − | 1.35498i | −0.297594 | − | 0.954692i | \(-0.596184\pi\) |
0.916391 | − | 0.400284i | \(-0.131088\pi\) | |||||||
\(242\) | 4.21476 | − | 9.22903i | 0.270935 | − | 0.593265i | ||||
\(243\) | −2.54581 | + | 17.7065i | −0.163313 | + | 1.13587i | ||||
\(244\) | −9.45238 | + | 6.07468i | −0.605127 | + | 0.388891i | ||||
\(245\) | 4.11795 | + | 1.20914i | 0.263086 | + | 0.0772490i | ||||
\(246\) | −0.682880 | − | 4.74953i | −0.0435388 | − | 0.302819i | ||||
\(247\) | −3.92916 | − | 4.53450i | −0.250007 | − | 0.288523i | ||||
\(248\) | −12.6188 | − | 8.10961i | −0.801295 | − | 0.514961i | ||||
\(249\) | 12.8331 | − | 14.8102i | 0.813267 | − | 0.938560i | ||||
\(250\) | −6.20997 | + | 1.82341i | −0.392753 | + | 0.115323i | ||||
\(251\) | −0.952046 | − | 2.08469i | −0.0600926 | − | 0.131585i | 0.877203 | − | 0.480119i | \(-0.159407\pi\) |
−0.937296 | + | 0.348535i | \(0.886679\pi\) | |||||||
\(252\) | 10.4721 | 0.659683 | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | −4.50658 | −0.282768 | ||||||||
\(255\) | −0.877131 | − | 1.92065i | −0.0549280 | − | 0.120276i | ||||
\(256\) | 6.29649 | − | 1.84882i | 0.393530 | − | 0.115551i | ||||
\(257\) | 4.89321 | − | 5.64706i | 0.305230 | − | 0.352254i | −0.582325 | − | 0.812956i | \(-0.697857\pi\) |
0.887555 | + | 0.460702i | \(0.152402\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 2.61944 | + | 3.02300i | 0.162764 | + | 0.187840i | ||||
\(260\) | −0.853889 | − | 5.93893i | −0.0529559 | − | 0.368317i | ||||
\(261\) | 5.75696 | + | 1.69040i | 0.356347 | + | 0.104633i | ||||
\(262\) | 9.72683 | − | 6.25105i | 0.600926 | − | 0.386191i | ||||
\(263\) | 0.419014 | − | 2.91430i | 0.0258375 | − | 0.179704i | −0.972816 | − | 0.231579i | \(-0.925611\pi\) |
0.998654 | + | 0.0518754i | \(0.0165199\pi\) | |||||||
\(264\) | 10.8757 | − | 23.8145i | 0.669353 | − | 1.46568i | ||||
\(265\) | 0.242433 | − | 0.530854i | 0.0148925 | − | 0.0326101i | ||||
\(266\) | 0.569259 | − | 3.95929i | 0.0349035 | − | 0.242759i | ||||
\(267\) | −19.6991 | + | 12.6599i | −1.20557 | + | 0.774771i | ||||
\(268\) | 4.29098 | + | 1.25995i | 0.262114 | + | 0.0769635i | ||||
\(269\) | 1.13059 | + | 7.86341i | 0.0689332 | + | 0.479441i | 0.994821 | + | 0.101642i | \(0.0324097\pi\) |
−0.925888 | + | 0.377798i | \(0.876681\pi\) | |||||||
\(270\) | 1.11864 | + | 1.29097i | 0.0680780 | + | 0.0785662i | ||||
\(271\) | 6.73003 | + | 4.32513i | 0.408820 | + | 0.262733i | 0.728848 | − | 0.684675i | \(-0.240056\pi\) |
−0.320028 | + | 0.947408i | \(0.603692\pi\) | |||||||
\(272\) | 0.927550 | − | 1.07045i | 0.0562410 | − | 0.0649055i | ||||
\(273\) | −20.8289 | + | 6.11591i | −1.26062 | + | 0.370152i | ||||
\(274\) | 5.61968 | + | 12.3054i | 0.339497 | + | 0.743395i | ||||
\(275\) | −18.1803 | −1.09632 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 15.4721 | 0.929631 | 0.464815 | − | 0.885408i | \(-0.346121\pi\) | ||||
0.464815 | + | 0.885408i | \(0.346121\pi\) | |||||||
\(278\) | −2.74923 | − | 6.01998i | −0.164888 | − | 0.361054i | ||||
\(279\) | −12.8729 | + | 3.77984i | −0.770683 | + | 0.226293i | ||||
\(280\) | 5.85725 | − | 6.75963i | 0.350038 | − | 0.403965i | ||||
\(281\) | 7.37269 | + | 4.73814i | 0.439818 | + | 0.282654i | 0.741751 | − | 0.670675i | \(-0.233996\pi\) |
−0.301933 | + | 0.953329i | \(0.597632\pi\) | |||||||
\(282\) | −2.02363 | − | 2.33539i | −0.120505 | − | 0.139071i | ||||
\(283\) | 3.94329 | + | 27.4262i | 0.234404 | + | 1.63032i | 0.678685 | + | 0.734429i | \(0.262550\pi\) |
−0.444281 | + | 0.895887i | \(0.646541\pi\) | |||||||
\(284\) | 18.9964 | + | 5.57785i | 1.12723 | + | 0.330984i | ||||
\(285\) | 4.65034 | − | 2.98859i | 0.275462 | − | 0.177029i | ||||
\(286\) | −1.38162 | + | 9.60939i | −0.0816970 | + | 0.568215i | ||||
\(287\) | 4.66763 | − | 10.2207i | 0.275522 | − | 0.603308i | ||||
\(288\) | 4.66763 | − | 10.2207i | 0.275043 | − | 0.602260i | ||||
\(289\) | 2.33630 | − | 16.2493i | 0.137429 | − | 0.955842i | ||||
\(290\) | 1.92798 | − | 1.23904i | 0.113215 | − | 0.0727588i | ||||
\(291\) | −37.9928 | − | 11.1557i | −2.22718 | − | 0.653958i | ||||
\(292\) | 1.50317 | + | 10.4548i | 0.0879665 | + | 0.611821i | ||||
\(293\) | −1.00054 | − | 1.15468i | −0.0584521 | − | 0.0674573i | 0.725771 | − | 0.687937i | \(-0.241483\pi\) |
−0.784223 | + | 0.620480i | \(0.786938\pi\) | |||||||
\(294\) | −4.03665 | − | 2.59420i | −0.235422 | − | 0.151297i | ||||
\(295\) | 5.23889 | − | 6.04600i | 0.305020 | − | 0.352012i | ||||
\(296\) | 2.65197 | − | 0.778690i | 0.154143 | − | 0.0452604i | ||||
\(297\) | 4.86376 | + | 10.6502i | 0.282224 | + | 0.617985i | ||||
\(298\) | −14.7639 | −0.855252 | ||||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | −12.5623 | −0.725285 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −2.51199 | + | 0.737585i | −0.144549 | + | 0.0424433i | ||||
\(303\) | 6.54861 | − | 7.55750i | 0.376208 | − | 0.434167i | ||||
\(304\) | 3.11954 | + | 2.00481i | 0.178918 | + | 0.114984i | ||||
\(305\) | 5.62106 | + | 6.48705i | 0.321861 | + | 0.371447i | ||||
\(306\) | 0.134384 | + | 0.934661i | 0.00768222 | + | 0.0534310i | ||||
\(307\) | −9.14192 | − | 2.68431i | −0.521757 | − | 0.153202i | 0.0102406 | − | 0.999948i | \(-0.496740\pi\) |
−0.531997 | + | 0.846746i | \(0.678558\pi\) | |||||||
\(308\) | 23.0641 | − | 14.8224i | 1.31420 | − | 0.844586i | ||||
\(309\) | 1.33029 | − | 9.25238i | 0.0756776 | − | 0.526349i | ||||
\(310\) | −2.12884 | + | 4.66151i | −0.120910 | + | 0.264756i | ||||
\(311\) | 5.47531 | − | 11.9893i | 0.310476 | − | 0.679848i | −0.688493 | − | 0.725243i | \(-0.741727\pi\) |
0.998969 | + | 0.0453948i | \(0.0144546\pi\) | |||||||
\(312\) | −2.13472 | + | 14.8473i | −0.120855 | + | 0.840564i | ||||
\(313\) | −20.4935 | + | 13.1704i | −1.15836 | + | 0.744434i | −0.971287 | − | 0.237912i | \(-0.923537\pi\) |
−0.187075 | + | 0.982346i | \(0.559901\pi\) | |||||||
\(314\) | −6.76992 | − | 1.98783i | −0.382049 | − | 0.112180i | ||||
\(315\) | −1.13852 | − | 7.91857i | −0.0641483 | − | 0.446161i | ||||
\(316\) | 11.5964 | + | 13.3830i | 0.652349 | + | 0.752851i | ||||
\(317\) | 21.3816 | + | 13.7411i | 1.20091 | + | 0.771780i | 0.979114 | − | 0.203313i | \(-0.0651708\pi\) |
0.221799 | + | 0.975092i | \(0.428807\pi\) | |||||||
\(318\) | −0.427281 | + | 0.493108i | −0.0239607 | + | 0.0276521i | ||||
\(319\) | 15.0719 | − | 4.42551i | 0.843865 | − | 0.247781i | ||||
\(320\) | 0.121216 | + | 0.265427i | 0.00677621 | + | 0.0148378i | ||||
\(321\) | 30.0000 | 1.67444 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −1.52786 | −0.0850126 | ||||||||
\(324\) | 7.39371 | + | 16.1900i | 0.410762 | + | 0.899443i | ||||
\(325\) | 9.99447 | − | 2.93464i | 0.554393 | − | 0.162785i | ||||
\(326\) | 2.33281 | − | 2.69221i | 0.129203 | − | 0.149108i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −5.08429 | − | 5.86759i | −0.280733 | − | 0.323983i | ||||
\(329\) | −1.02980 | − | 7.16242i | −0.0567747 | − | 0.394877i | ||||
\(330\) | −8.58197 | − | 2.51989i | −0.472422 | − | 0.138716i | ||||
\(331\) | −16.5327 | + | 10.6249i | −0.908720 | + | 0.583999i | −0.909364 | − | 0.416001i | \(-0.863431\pi\) |
0.000644066 | 1.00000i | \(0.499795\pi\) | ||||||||
\(332\) | 2.01807 | − | 14.0360i | 0.110756 | − | 0.770326i | ||||
\(333\) | 1.02696 | − | 2.24873i | 0.0562772 | − | 0.123230i | ||||
\(334\) | 0.392265 | − | 0.858940i | 0.0214638 | − | 0.0469991i | ||||
\(335\) | 0.486206 | − | 3.38163i | 0.0265642 | − | 0.184758i | ||||
\(336\) | 11.2866 | − | 7.25346i | 0.615735 | − | 0.395709i | ||||
\(337\) | 22.4679 | + | 6.59716i | 1.22390 | + | 0.359370i | 0.828946 | − | 0.559329i | \(-0.188941\pi\) |
0.394958 | + | 0.918699i | \(0.370759\pi\) | |||||||
\(338\) | 0.351822 | + | 2.44697i | 0.0191366 | + | 0.133098i | ||||
\(339\) | −12.8331 | − | 14.8102i | −0.697001 | − | 0.804381i | ||||
\(340\) | −1.28532 | − | 0.826026i | −0.0697063 | − | 0.0447975i | ||||
\(341\) | −23.0017 | + | 26.5454i | −1.24561 | + | 1.43751i | ||||
\(342\) | −2.37200 | + | 0.696481i | −0.128263 | + | 0.0376614i | ||||
\(343\) | 4.74255 | + | 10.3847i | 0.256073 | + | 0.560723i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 14.1803 | 0.762340 | ||||||||
\(347\) | −4.10785 | − | 8.99494i | −0.220521 | − | 0.482873i | 0.766745 | − | 0.641952i | \(-0.221875\pi\) |
−0.987266 | + | 0.159078i | \(0.949148\pi\) | |||||||
\(348\) | 10.4144 | − | 3.05795i | 0.558272 | − | 0.163924i | ||||
\(349\) | −15.9893 | + | 18.4527i | −0.855890 | + | 0.987750i | −0.999998 | − | 0.00181209i | \(-0.999423\pi\) |
0.144108 | + | 0.989562i | \(0.453969\pi\) | |||||||
\(350\) | 5.84189 | + | 3.75436i | 0.312262 | + | 0.200679i | ||||
\(351\) | −4.39294 | − | 5.06972i | −0.234478 | − | 0.270602i | ||||
\(352\) | −4.18639 | − | 29.1170i | −0.223135 | − | 1.55194i | ||||
\(353\) | −8.98151 | − | 2.63721i | −0.478037 | − | 0.140364i | 0.0338324 | − | 0.999428i | \(-0.489229\pi\) |
−0.511870 | + | 0.859063i | \(0.671047\pi\) | |||||||
\(354\) | −7.52440 | + | 4.83564i | −0.399917 | + | 0.257011i | ||||
\(355\) | 2.15246 | − | 14.9707i | 0.114241 | − | 0.794560i | ||||
\(356\) | −7.03890 | + | 15.4131i | −0.373061 | + | 0.816890i | ||||
\(357\) | −2.29636 | + | 5.02832i | −0.121536 | + | 0.266127i | ||||
\(358\) | −0.0622904 | + | 0.433239i | −0.00329215 | + | 0.0228974i | ||||
\(359\) | 16.7313 | − | 10.7526i | 0.883045 | − | 0.567498i | −0.0186721 | − | 0.999826i | \(-0.505944\pi\) |
0.901717 | + | 0.432327i | \(0.142307\pi\) | |||||||
\(360\) | −5.30395 | − | 1.55738i | −0.279543 | − | 0.0820811i | ||||
\(361\) | 2.13472 | + | 14.8473i | 0.112354 | + | 0.781438i | ||||
\(362\) | 6.73969 | + | 7.77802i | 0.354230 | + | 0.408804i | ||||
\(363\) | −30.8809 | − | 19.8460i | −1.62083 | − | 1.04164i | ||||
\(364\) | −10.2867 | + | 11.8715i | −0.539169 | + | 0.622234i | ||||
\(365\) | 7.74204 | − | 2.27327i | 0.405237 | − | 0.118988i | ||||
\(366\) | −3.98663 | − | 8.72951i | −0.208385 | − | 0.456299i | ||||
\(367\) | 4.18034 | 0.218212 | 0.109106 | − | 0.994030i | \(-0.465201\pi\) | ||||
0.109106 | + | 0.994030i | \(0.465201\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −6.94427 | −0.361504 | ||||||||
\(370\) | −0.392265 | − | 0.858940i | −0.0203929 | − | 0.0446542i | ||||
\(371\) | −1.46597 | + | 0.430449i | −0.0761096 | + | 0.0223478i | ||||
\(372\) | −15.8938 | + | 18.3424i | −0.824055 | + | 0.951011i | ||||
\(373\) | −6.48455 | − | 4.16737i | −0.335757 | − | 0.215778i | 0.361888 | − | 0.932222i | \(-0.382132\pi\) |
−0.697645 | + | 0.716443i | \(0.745769\pi\) | |||||||
\(374\) | 1.61890 | + | 1.86832i | 0.0837116 | + | 0.0966083i | ||||
\(375\) | 3.33250 | + | 23.1781i | 0.172090 | + | 1.19691i | ||||
\(376\) | −4.79746 | − | 1.40866i | −0.247410 | − | 0.0726462i | ||||
\(377\) | −7.57128 | + | 4.86577i | −0.389941 | + | 0.250600i | ||||
\(378\) | 0.636451 | − | 4.42662i | 0.0327355 | − | 0.227681i | ||||
\(379\) | −10.1198 | + | 22.1593i | −0.519819 | + | 1.13824i | 0.449689 | + | 0.893185i | \(0.351535\pi\) |
−0.969508 | + | 0.245059i | \(0.921193\pi\) | |||||||
\(380\) | 1.66166 | − | 3.63853i | 0.0852414 | − | 0.186653i | ||||
\(381\) | −2.32044 | + | 16.1390i | −0.118880 | + | 0.826826i | ||||
\(382\) | 13.6118 | − | 8.74775i | 0.696439 | − | 0.447574i | ||||
\(383\) | 6.76992 | + | 1.98783i | 0.345927 | + | 0.101573i | 0.450081 | − | 0.892988i | \(-0.351395\pi\) |
−0.104154 | + | 0.994561i | \(0.533213\pi\) | |||||||
\(384\) | −3.62203 | − | 25.1918i | −0.184836 | − | 1.28556i | ||||
\(385\) | −13.7156 | − | 15.8286i | −0.699011 | − | 0.806701i | ||||
\(386\) | 5.17026 | + | 3.32272i | 0.263159 | + | 0.169122i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −27.4918 | + | 8.07234i | −1.39569 | + | 0.409811i | ||||
\(389\) | −10.6047 | − | 23.2210i | −0.537678 | − | 1.17735i | −0.962303 | − | 0.271980i | \(-0.912321\pi\) |
0.424625 | − | 0.905369i | \(-0.360406\pi\) | |||||||
\(390\) | 5.12461 | 0.259495 | ||||||||
\(391\) | 0 | 0 | ||||||||
\(392\) | −7.76393 | −0.392138 | ||||||||
\(393\) | −17.3780 | − | 38.0525i | −0.876603 | − | 1.91949i | ||||
\(394\) | 0.872976 | − | 0.256329i | 0.0439799 | − | 0.0129137i | ||||
\(395\) | 8.85887 | − | 10.2237i | 0.445738 | − | 0.514409i | ||||
\(396\) | −14.2544 | − | 9.16077i | −0.716312 | − | 0.460346i | ||||
\(397\) | 15.9893 | + | 18.4527i | 0.802482 | + | 0.926114i | 0.998515 | − | 0.0544835i | \(-0.0173512\pi\) |
−0.196032 | + | 0.980597i | \(0.562806\pi\) | |||||||
\(398\) | −1.08113 | − | 7.51942i | −0.0541921 | − | 0.376915i | ||||
\(399\) | −13.8859 | − | 4.07727i | −0.695165 | − | 0.204119i | ||||
\(400\) | −5.41573 | + | 3.48048i | −0.270787 | + | 0.174024i | ||||
\(401\) | −2.01807 | + | 14.0360i | −0.100778 | + | 0.700925i | 0.875312 | + | 0.483558i | \(0.160656\pi\) |
−0.976090 | + | 0.217367i | \(0.930253\pi\) | |||||||
\(402\) | −1.58674 | + | 3.47449i | −0.0791396 | + | 0.173292i | ||||
\(403\) | 8.36007 | − | 18.3060i | 0.416445 | − | 0.911886i | ||||
\(404\) | 1.02980 | − | 7.16242i | 0.0512345 | − | 0.356343i | ||||
\(405\) | 11.4383 | − | 7.35096i | 0.568374 | − | 0.365272i | ||||
\(406\) | −5.75696 | − | 1.69040i | −0.285713 | − | 0.0838929i | ||||
\(407\) | −0.921081 | − | 6.40626i | −0.0456563 | − | 0.317546i | ||||
\(408\) | 2.50135 | + | 2.88671i | 0.123835 | + | 0.142913i | ||||
\(409\) | 17.9697 | + | 11.5485i | 0.888547 | + | 0.571034i | 0.903373 | − | 0.428856i | \(-0.141083\pi\) |
−0.0148262 | + | 0.999890i | \(0.504719\pi\) | |||||||
\(410\) | −1.73700 | + | 2.00461i | −0.0857844 | + | 0.0990005i | ||||
\(411\) | 46.9617 | − | 13.7892i | 2.31645 | − | 0.680171i | ||||
\(412\) | −2.80984 | − | 6.15269i | −0.138431 | − | 0.303121i | ||||
\(413\) | −20.9443 | −1.03060 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −10.8328 | −0.531762 | ||||||||
\(416\) | 7.00145 | + | 15.3310i | 0.343274 | + | 0.751666i | ||||
\(417\) | −22.9744 | + | 6.74588i | −1.12506 | + | 0.330347i | ||||
\(418\) | −4.23835 | + | 4.89131i | −0.207304 | + | 0.239242i | ||||
\(419\) | 3.85596 | + | 2.47808i | 0.188376 | + | 0.121062i | 0.631430 | − | 0.775433i | \(-0.282468\pi\) |
−0.443053 | + | 0.896495i | \(0.646105\pi\) | |||||||
\(420\) | −9.47723 | − | 10.9373i | −0.462442 | − | 0.533686i | ||||
\(421\) | −1.46468 | − | 10.1870i | −0.0713839 | − | 0.496486i | −0.993879 | − | 0.110477i | \(-0.964762\pi\) |
0.922495 | − | 0.386009i | \(-0.126147\pi\) | |||||||
\(422\) | 13.8859 | + | 4.07727i | 0.675956 | + | 0.198478i | ||||
\(423\) | −3.76220 | + | 2.41782i | −0.182924 | + | 0.117558i | ||||
\(424\) | −0.150246 | + | 1.04498i | −0.00729658 | + | 0.0507488i | ||||
\(425\) | 1.10188 | − | 2.41278i | 0.0534489 | − | 0.117037i | ||||
\(426\) | −7.02460 | + | 15.3817i | −0.340343 | + | 0.745247i | ||||
\(427\) | 3.19812 | − | 22.2434i | 0.154768 | − | 1.07643i | ||||
\(428\) | 18.2621 | − | 11.7363i | 0.882732 | − | 0.567297i | ||||
\(429\) | 33.7018 | + | 9.89575i | 1.62714 | + | 0.477771i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −11.4783 | − | 13.2467i | −0.552891 | − | 0.638070i | 0.408663 | − | 0.912685i | \(-0.365995\pi\) |
−0.961554 | + | 0.274615i | \(0.911450\pi\) | |||||||
\(432\) | 3.48775 | + | 2.24144i | 0.167805 | + | 0.107841i | ||||
\(433\) | 11.6694 | − | 13.4672i | 0.560795 | − | 0.647192i | −0.402569 | − | 0.915390i | \(-0.631883\pi\) |
0.963364 | + | 0.268197i | \(0.0864280\pi\) | |||||||
\(434\) | 12.8729 | − | 3.77984i | 0.617921 | − | 0.181438i | ||||
\(435\) | −3.44454 | − | 7.54248i | −0.165153 | − | 0.361634i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | −9.02129 | −0.431054 | ||||||||
\(439\) | −7.77167 | − | 17.0176i | −0.370922 | − | 0.812205i | −0.999409 | − | 0.0343849i | \(-0.989053\pi\) |
0.628487 | − | 0.777820i | \(-0.283674\pi\) | |||||||
\(440\) | −13.8859 | + | 4.07727i | −0.661985 | + | 0.194376i | ||||
\(441\) | −4.54753 | + | 5.24813i | −0.216549 | + | 0.249911i | ||||
\(442\) | −1.19156 | − | 0.765768i | −0.0566766 | − | 0.0364239i | ||||
\(443\) | −24.9663 | − | 28.8127i | −1.18619 | − | 1.36893i | −0.913506 | − | 0.406826i | \(-0.866636\pi\) |
−0.272679 | − | 0.962105i | \(-0.587910\pi\) | |||||||
\(444\) | −0.636451 | − | 4.42662i | −0.0302046 | − | 0.210078i | ||||
\(445\) | 12.4199 | + | 3.64682i | 0.588762 | + | 0.172876i | ||||
\(446\) | 2.07969 | − | 1.33654i | 0.0984763 | − | 0.0632869i | ||||
\(447\) | −7.60195 | + | 52.8727i | −0.359560 | + | 2.50079i | ||||
\(448\) | 0.317349 | − | 0.694897i | 0.0149933 | − | 0.0328308i | ||||
\(449\) | −6.20807 | + | 13.5938i | −0.292977 | + | 0.641531i | −0.997688 | − | 0.0679644i | \(-0.978350\pi\) |
0.704711 | + | 0.709495i | \(0.251077\pi\) | |||||||
\(450\) | 0.610786 | − | 4.24811i | 0.0287927 | − | 0.200258i | ||||
\(451\) | −15.2943 | + | 9.82903i | −0.720179 | + | 0.462831i | ||||
\(452\) | −13.6059 | − | 3.99506i | −0.639969 | − | 0.187912i | ||||
\(453\) | 1.34803 | + | 9.37572i | 0.0633358 | + | 0.440510i | ||||
\(454\) | −4.92970 | − | 5.68918i | −0.231362 | − | 0.267006i | ||||
\(455\) | 10.0950 | + | 6.48769i | 0.473263 | + | 0.304148i | ||||
\(456\) | −6.54861 | + | 7.55750i | −0.306667 | + | 0.353912i | ||||
\(457\) | −4.91703 | + | 1.44377i | −0.230009 | + | 0.0675367i | −0.394706 | − | 0.918807i | \(-0.629154\pi\) |
0.164697 | + | 0.986344i | \(0.447335\pi\) | |||||||
\(458\) | 3.08089 | + | 6.74620i | 0.143960 | + | 0.315229i | ||||
\(459\) | −1.70820 | −0.0797321 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −1.47214 | −0.0685642 | −0.0342821 | − | 0.999412i | \(-0.510914\pi\) | ||||
−0.0342821 | + | 0.999412i | \(0.510914\pi\) | |||||||
\(462\) | 9.72753 | + | 21.3003i | 0.452566 | + | 0.990980i | ||||
\(463\) | 19.1899 | − | 5.63465i | 0.891828 | − | 0.261864i | 0.196455 | − | 0.980513i | \(-0.437057\pi\) |
0.695374 | + | 0.718648i | \(0.255239\pi\) | |||||||
\(464\) | 3.64254 | − | 4.20371i | 0.169100 | − | 0.195152i | ||||
\(465\) | 15.5977 | + | 10.0240i | 0.723326 | + | 0.464853i | ||||
\(466\) | 2.64200 | + | 3.04903i | 0.122388 | + | 0.141243i | ||||
\(467\) | −1.85802 | − | 12.9228i | −0.0859791 | − | 0.597998i | −0.986571 | − | 0.163332i | \(-0.947776\pi\) |
0.900592 | − | 0.434665i | \(-0.143133\pi\) | |||||||
\(468\) | 9.31495 | + | 2.73512i | 0.430584 | + | 0.126431i | ||||
\(469\) | −7.52440 | + | 4.83564i | −0.347445 | + | 0.223289i | ||||
\(470\) | −0.243103 | + | 1.69082i | −0.0112135 | + | 0.0779916i | ||||
\(471\) | −10.6047 | + | 23.2210i | −0.488637 | + | 1.06997i | ||||
\(472\) | −6.01194 | + | 13.1643i | −0.276722 | + | 0.605937i | ||||
\(473\) | 0 | 0 | ||||||||
\(474\) | −12.7236 | + | 8.17698i | −0.584416 | + | 0.375581i | ||||
\(475\) | 6.66298 | + | 1.95643i | 0.305718 | + | 0.0897670i | ||||
\(476\) | 0.569259 | + | 3.95929i | 0.0260920 | + | 0.181474i | ||||
\(477\) | 0.618367 | + | 0.713633i | 0.0283131 | + | 0.0326750i | ||||
\(478\) | 7.15619 | + | 4.59900i | 0.327316 | + | 0.210354i | ||||
\(479\) | 20.6915 | − | 23.8792i | 0.945417 | − | 1.09107i | −0.0503105 | − | 0.998734i | \(-0.516021\pi\) |
0.995728 | − | 0.0923362i | \(-0.0294334\pi\) | |||||||
\(480\) | −14.8989 | + | 4.37470i | −0.680038 | + | 0.199677i | ||||
\(481\) | 1.54044 | + | 3.37310i | 0.0702382 | + | 0.153800i | ||||
\(482\) | 14.2918 | 0.650973 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −26.5623 | −1.20738 | ||||||||
\(485\) | 9.09283 | + | 19.9105i | 0.412884 | + | 0.904090i | ||||
\(486\) | −10.6079 | + | 3.11476i | −0.481184 | + | 0.141288i | ||||
\(487\) | 9.63183 | − | 11.1157i | 0.436460 | − | 0.503701i | −0.494321 | − | 0.869279i | \(-0.664583\pi\) |
0.930781 | + | 0.365578i | \(0.119129\pi\) | |||||||
\(488\) | −13.0629 | − | 8.39500i | −0.591328 | − | 0.380024i | ||||
\(489\) | −8.44020 | − | 9.74051i | −0.381679 | − | 0.440481i | ||||
\(490\) | 0.377487 | + | 2.62548i | 0.0170531 | + | 0.118607i | ||||
\(491\) | −8.00939 | − | 2.35177i | −0.361459 | − | 0.106134i | 0.0959602 | − | 0.995385i | \(-0.469408\pi\) |
−0.457419 | + | 0.889251i | \(0.651226\pi\) | |||||||
\(492\) | −10.5681 | + | 6.79170i | −0.476446 | + | 0.306193i | ||||
\(493\) | −0.326157 | + | 2.26847i | −0.0146894 | + | 0.102167i | ||||
\(494\) | 1.54044 | − | 3.37310i | 0.0693078 | − | 0.151763i | ||||
\(495\) | −5.37724 | + | 11.7745i | −0.241689 | + | 0.529225i | ||||
\(496\) | −1.77007 | + | 12.3111i | −0.0794784 | + | 0.552785i | ||||
\(497\) | −33.3109 | + | 21.4076i | −1.49420 | + | 0.960263i | ||||
\(498\) | 11.6209 | + | 3.41219i | 0.520743 | + | 0.152904i | ||||
\(499\) | −2.74551 | − | 19.0954i | −0.122906 | − | 0.854829i | −0.954237 | − | 0.299052i | \(-0.903330\pi\) |
0.831331 | − | 0.555777i | \(-0.187579\pi\) | |||||||
\(500\) | 11.0961 | + | 12.8056i | 0.496234 | + | 0.572685i | ||||
\(501\) | −2.87407 | − | 1.84705i | −0.128404 | − | 0.0825201i | ||||
\(502\) | 0.927550 | − | 1.07045i | 0.0413986 | − | 0.0477765i | ||||
\(503\) | −25.8528 | + | 7.59108i | −1.15272 | + | 0.338469i | −0.801600 | − | 0.597861i | \(-0.796018\pi\) |
−0.351121 | + | 0.936330i | \(0.614199\pi\) | |||||||
\(504\) | 6.01194 | + | 13.1643i | 0.267793 | + | 0.586385i | ||||
\(505\) | −5.52786 | −0.245987 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 8.94427 | 0.397229 | ||||||||
\(508\) | 4.90122 | + | 10.7322i | 0.217457 | + | 0.476163i | ||||
\(509\) | 27.1584 | − | 7.97443i | 1.20378 | − | 0.353460i | 0.382480 | − | 0.923964i | \(-0.375070\pi\) |
0.821295 | + | 0.570504i | \(0.193252\pi\) | |||||||
\(510\) | 0.854562 | − | 0.986217i | 0.0378406 | − | 0.0436704i | ||||
\(511\) | −17.7712 | − | 11.4208i | −0.786150 | − | 0.505228i | ||||
\(512\) | −12.2513 | − | 14.1387i | −0.541435 | − | 0.624849i | ||||
\(513\) | −0.636451 | − | 4.42662i | −0.0281000 | − | 0.195440i | ||||
\(514\) | 4.43097 | + | 1.30105i | 0.195442 | + | 0.0573869i | ||||
\(515\) | −4.34691 | + | 2.79359i | −0.191548 | + | 0.123100i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −4.86376 | + | 10.6502i | −0.213908 | + | 0.468393i | ||||
\(518\) | −1.02696 | + | 2.24873i | −0.0451221 | + | 0.0988037i | ||||
\(519\) | 7.30146 | − | 50.7827i | 0.320498 | − | 2.22911i | ||||
\(520\) | 6.97550 | − | 4.48288i | 0.305896 | − | 0.196587i | ||||
\(521\) | 30.1438 | + | 8.85102i | 1.32062 | + | 0.387770i | 0.864718 | − | 0.502257i | \(-0.167497\pi\) |
0.455907 | + | 0.890028i | \(0.349315\pi\) | |||||||
\(522\) | 0.527732 | + | 3.67046i | 0.0230982 | + | 0.160652i | ||||
\(523\) | 26.9309 | + | 31.0799i | 1.17761 | + | 1.35903i | 0.919585 | + | 0.392890i | \(0.128525\pi\) |
0.258020 | + | 0.966140i | \(0.416930\pi\) | |||||||
\(524\) | −25.4652 | − | 16.3655i | −1.11245 | − | 0.714929i | ||||
\(525\) | 16.4531 | − | 18.9879i | 0.718073 | − | 0.828701i | ||||
\(526\) | 1.74595 | − | 0.512657i | 0.0761271 | − | 0.0223529i | ||||
\(527\) | −2.12884 | − | 4.66151i | −0.0927338 | − | 0.203059i | ||||
\(528\) | −21.7082 | −0.944728 | ||||||||
\(529\) | 0 | 0 | ||||||||
\(530\) | 0.360680 | 0.0156669 | ||||||||
\(531\) | 5.37724 | + | 11.7745i | 0.233353 | + | 0.510971i | ||||
\(532\) | −10.0479 | + | 2.95034i | −0.435633 | + | 0.127914i | ||||
\(533\) | 6.82130 | − | 7.87220i | 0.295463 | − | 0.340983i | ||||
\(534\) | −12.1747 | − | 7.82423i | −0.526852 | − | 0.338587i | ||||
\(535\) | −10.8599 | − | 12.5330i | −0.469516 | − | 0.541851i | ||||
\(536\) | 0.879554 | + | 6.11743i | 0.0379909 | + | 0.264233i | ||||
\(537\) | 1.51945 | + | 0.446149i | 0.0655689 | + | 0.0192528i | ||||
\(538\) | −4.13041 | + | 2.65445i | −0.178075 | + | 0.114442i | ||||
\(539\) | −2.58733 | + | 17.9953i | −0.111444 | + | 0.775112i | ||||
\(540\) | 1.85779 | − | 4.06800i | 0.0799467 | − | 0.175059i | ||||
\(541\) | −14.2971 | + | 31.3063i | −0.614680 | + | 1.34596i | 0.304646 | + | 0.952466i | \(0.401462\pi\) |
−0.919326 | + | 0.393496i | \(0.871266\pi\) | |||||||
\(542\) | −0.703643 | + | 4.89395i | −0.0302241 | + | 0.210213i | ||||
\(543\) | 31.3250 | − | 20.1313i | 1.34428 | − | 0.863918i | ||||
\(544\) | 4.11795 | + | 1.20914i | 0.176556 | + | 0.0518414i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −8.78588 | − | 10.1394i | −0.376001 | − | 0.433928i | ||||
\(547\) | −24.8515 | − | 15.9711i | −1.06257 | − | 0.682874i | −0.112105 | − | 0.993696i | \(-0.535759\pi\) |
−0.950468 | + | 0.310822i | \(0.899396\pi\) | |||||||
\(548\) | 23.1928 | − | 26.7659i | 0.990748 | − | 1.14338i | ||||
\(549\) | −13.3260 | + | 3.91285i | −0.568738 | + | 0.166997i | ||||
\(550\) | −4.66763 | − | 10.2207i | −0.199028 | − | 0.435812i | ||||
\(551\) | −6.00000 | −0.255609 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −35.4164 | −1.50606 | ||||||||
\(554\) | 3.97233 | + | 8.69818i | 0.168768 | + | 0.369550i | ||||
\(555\) | −3.27802 | + | 0.962513i | −0.139144 | + | 0.0408564i | ||||
\(556\) | −11.3463 | + | 13.0943i | −0.481189 | + | 0.555322i | ||||
\(557\) | 6.23908 | + | 4.00961i | 0.264358 | + | 0.169893i | 0.666105 | − | 0.745858i | \(-0.267960\pi\) |
−0.401747 | + | 0.915751i | \(0.631597\pi\) | |||||||
\(558\) | −5.42997 | − | 6.26652i | −0.229869 | − | 0.265283i | ||||
\(559\) | 0 | 0 | ||||||||
\(560\) | −7.11599 | − | 2.08944i | −0.300706 | − | 0.0882951i | ||||
\(561\) | 7.52440 | − | 4.83564i | 0.317680 | − | 0.204161i | ||||
\(562\) | −0.770835 | + | 5.36128i | −0.0325157 | + | 0.226152i | ||||
\(563\) | 13.6855 | − | 29.9672i | 0.576777 | − | 1.26297i | −0.366333 | − | 0.930484i | \(-0.619387\pi\) |
0.943110 | − | 0.332481i | \(-0.107886\pi\) | |||||||
\(564\) | −3.36078 | + | 7.35908i | −0.141514 | + | 0.309873i | ||||
\(565\) | −1.54167 | + | 10.7226i | −0.0648586 | + | 0.451101i | ||||
\(566\) | −14.4061 | + | 9.25826i | −0.605535 | + | 0.389154i | ||||
\(567\) | −34.1548 | − | 10.0288i | −1.43437 | − | 0.421168i | ||||
\(568\) | 3.89383 | + | 27.0822i | 0.163382 | + | 1.13634i | ||||
\(569\) | −14.5250 | − | 16.7628i | −0.608921 | − | 0.702732i | 0.364643 | − | 0.931148i | \(-0.381191\pi\) |
−0.973564 | + | 0.228415i | \(0.926646\pi\) | |||||||
\(570\) | 2.87407 | + | 1.84705i | 0.120381 | + | 0.0773644i | ||||
\(571\) | −9.35914 | + | 10.8010i | −0.391668 | + | 0.452009i | −0.916999 | − | 0.398889i | \(-0.869396\pi\) |
0.525332 | + | 0.850898i | \(0.323941\pi\) | |||||||
\(572\) | 24.3869 | − | 7.16063i | 1.01967 | − | 0.299401i | ||||
\(573\) | −24.3188 | − | 53.2508i | −1.01593 | − | 2.22458i | ||||
\(574\) | 6.94427 | 0.289848 | ||||||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −0.472136 | −0.0196723 | ||||||||
\(577\) | 9.50824 | + | 20.8202i | 0.395833 | + | 0.866754i | 0.997676 | + | 0.0681394i | \(0.0217063\pi\) |
−0.601842 | + | 0.798615i | \(0.705566\pi\) | |||||||
\(578\) | 9.73492 | − | 2.85843i | 0.404919 | − | 0.118895i | ||||
\(579\) | 14.5615 | − | 16.8049i | 0.605156 | − | 0.698388i | ||||
\(580\) | −5.04752 | − | 3.24384i | −0.209587 | − | 0.134693i | ||||
\(581\) | 18.5723 | + | 21.4336i | 0.770509 | + | 0.889214i | ||||
\(582\) | −3.48275 | − | 24.2230i | −0.144365 | − | 1.00408i | ||||
\(583\) | 2.37200 | + | 0.696481i | 0.0982381 | + | 0.0288453i | ||||
\(584\) | −12.2796 | + | 7.89160i | −0.508132 | + | 0.326557i | ||||
\(585\) | 1.05546 | − | 7.34092i | 0.0436381 | − | 0.303510i | ||||
\(586\) | 0.392265 | − | 0.858940i | 0.0162043 | − | 0.0354825i | ||||
\(587\) | −10.2642 | + | 22.4754i | −0.423647 | + | 0.927658i | 0.570668 | + | 0.821181i | \(0.306684\pi\) |
−0.994315 | + | 0.106477i | \(0.966043\pi\) | |||||||
\(588\) | −1.78780 | + | 12.4344i | −0.0737277 | + | 0.512788i | ||||
\(589\) | 11.2866 | − | 7.25346i | 0.465056 | − | 0.298874i | ||||
\(590\) | 4.74399 | + | 1.39296i | 0.195307 | + | 0.0573474i | ||||
\(591\) | −0.468471 | − | 3.25829i | −0.0192703 | − | 0.134028i | ||||
\(592\) | −1.50081 | − | 1.73202i | −0.0616828 | − | 0.0711857i | ||||
\(593\) | −2.47688 | − | 1.59179i | −0.101713 | − | 0.0653671i | 0.488795 | − | 0.872398i | \(-0.337436\pi\) |
−0.590509 | + | 0.807031i | \(0.701073\pi\) | |||||||
\(594\) | −4.73862 | + | 5.46866i | −0.194428 | + | 0.224382i | ||||
\(595\) | 2.93195 | − | 0.860898i | 0.120198 | − | 0.0352934i | ||||
\(596\) | 16.0568 | + | 35.1595i | 0.657713 | + | 1.44019i | ||||
\(597\) | −27.4853 | −1.12490 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 33.8885 | 1.38465 | 0.692324 | − | 0.721587i | \(-0.256587\pi\) | ||||
0.692324 | + | 0.721587i | \(0.256587\pi\) | |||||||
\(600\) | −7.21189 | − | 15.7918i | −0.294424 | − | 0.644699i | ||||
\(601\) | −44.9892 | + | 13.2100i | −1.83515 | + | 0.538848i | −0.999939 | − | 0.0110823i | \(-0.996472\pi\) |
−0.835210 | + | 0.549931i | \(0.814654\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 4.65034 | + | 2.98859i | 0.189376 | + | 0.121705i | ||||
\(604\) | 4.48848 | + | 5.17998i | 0.182634 | + | 0.210771i | ||||
\(605\) | 2.88782 | + | 20.0853i | 0.117407 | + | 0.816582i | ||||
\(606\) | 5.92999 | + | 1.74120i | 0.240889 | + | 0.0707315i | ||||
\(607\) | 22.2698 | − | 14.3119i | 0.903902 | − | 0.580903i | −0.00404274 | − | 0.999992i | \(-0.501287\pi\) |
0.907945 | + | 0.419089i | \(0.137650\pi\) | |||||||
\(608\) | −1.59906 | + | 11.1217i | −0.0648504 | + | 0.451045i | ||||
\(609\) | −9.01791 | + | 19.7465i | −0.365424 | + | 0.800168i | ||||
\(610\) | −2.20376 | + | 4.82555i | −0.0892275 | + | 0.195381i | ||||
\(611\) | 0.954677 | − | 6.63992i | 0.0386221 | − | 0.268623i | ||||
\(612\) | 2.07969 | − | 1.33654i | 0.0840666 | − | 0.0540263i | ||||
\(613\) | 5.47698 | + | 1.60819i | 0.221213 | + | 0.0649541i | 0.390461 | − | 0.920619i | \(-0.372316\pi\) |
−0.169248 | + | 0.985574i | \(0.554134\pi\) | |||||||
\(614\) | −0.838027 | − | 5.82861i | −0.0338200 | − | 0.235223i | ||||
\(615\) | 6.28453 | + | 7.25274i | 0.253417 | + | 0.292459i | ||||
\(616\) | 31.8739 | + | 20.4841i | 1.28423 | + | 0.825328i | ||||
\(617\) | −4.92970 | + | 5.68918i | −0.198462 | + | 0.229038i | −0.846254 | − | 0.532780i | \(-0.821147\pi\) |
0.647791 | + | 0.761818i | \(0.275693\pi\) | |||||||
\(618\) | 5.54307 | − | 1.62759i | 0.222975 | − | 0.0654714i | ||||
\(619\) | −8.06587 | − | 17.6618i | −0.324195 | − | 0.709887i | 0.675426 | − | 0.737428i | \(-0.263960\pi\) |
−0.999621 | + | 0.0275406i | \(0.991232\pi\) | |||||||
\(620\) | 13.4164 | 0.538816 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 8.14590 | 0.326621 | ||||||||
\(623\) | −14.0778 | − | 30.8261i | −0.564016 | − | 1.23502i | ||||
\(624\) | 11.9339 | − | 3.50410i | 0.477738 | − | 0.140276i | ||||
\(625\) | −2.89213 | + | 3.33770i | −0.115685 | + | 0.133508i | ||||
\(626\) | −12.6657 | − | 8.13974i | −0.506223 | − | 0.325329i | ||||
\(627\) | 15.3345 | + | 17.6969i | 0.612400 | + | 0.706748i | ||||
\(628\) | 2.62886 | + | 18.2841i | 0.104903 | + | 0.729616i | ||||
\(629\) | 0.906022 | + | 0.266032i | 0.0361255 | + | 0.0106074i | ||||
\(630\) | 4.15939 | − | 2.67308i | 0.165714 | − | 0.106498i | ||||
\(631\) | 1.75911 | − | 12.2349i | 0.0700290 | − | 0.487062i | −0.924381 | − | 0.381471i | \(-0.875417\pi\) |
0.994410 | − | 0.105591i | \(-0.0336734\pi\) | |||||||
\(632\) | −10.1661 | + | 22.2606i | −0.404385 | + | 0.885481i | ||||
\(633\) | 21.7514 | − | 47.6289i | 0.864541 | − | 1.89308i | ||||
\(634\) | −2.23551 | + | 15.5483i | −0.0887835 | + | 0.617503i | ||||
\(635\) | 7.58235 | − | 4.87288i | 0.300896 | − | 0.193374i | ||||
\(636\) | 1.63901 | + | 0.481257i | 0.0649910 | + | 0.0190831i | ||||
\(637\) | −1.48241 | − | 10.3104i | −0.0587352 | − | 0.408512i | ||||
\(638\) | 6.35752 | + | 7.33697i | 0.251697 | + | 0.290473i | ||||
\(639\) | 20.5873 | + | 13.2306i | 0.814420 | + | 0.523396i | ||||
\(640\) | −9.21316 | + | 10.6326i | −0.364182 | + | 0.420289i | ||||
\(641\) | −16.6040 | + | 4.87537i | −0.655818 | + | 0.192565i | −0.592678 | − | 0.805439i | \(-0.701929\pi\) |
−0.0631394 | + | 0.998005i | \(0.520111\pi\) | |||||||
\(642\) | 7.70222 | + | 16.8655i | 0.303982 | + | 0.665628i | ||||
\(643\) | 29.5967 | 1.16718 | 0.583591 | − | 0.812048i | \(-0.301647\pi\) | ||||
0.583591 | + | 0.812048i | \(0.301647\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.392265 | − | 0.858940i | −0.0154334 | − | 0.0337945i | ||||
\(647\) | −6.43647 | + | 1.88992i | −0.253044 | + | 0.0743004i | −0.405794 | − | 0.913964i | \(-0.633005\pi\) |
0.152750 | + | 0.988265i | \(0.451187\pi\) | |||||||
\(648\) | −16.1074 | + | 18.5890i | −0.632760 | + | 0.730244i | ||||
\(649\) | 28.5089 | + | 18.3215i | 1.11907 | + | 0.719183i | ||||
\(650\) | 4.21579 | + | 4.86528i | 0.165357 | + | 0.190832i | ||||
\(651\) | −6.90811 | − | 48.0469i | −0.270750 | − | 1.88311i | ||||
\(652\) | −8.94846 | − | 2.62750i | −0.350449 | − | 0.102901i | ||||
\(653\) | −32.2242 | + | 20.7092i | −1.26103 | + | 0.810414i | −0.988425 | − | 0.151712i | \(-0.951521\pi\) |
−0.272605 | + | 0.962126i | \(0.587885\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −9.60631 | + | 21.0349i | −0.375350 | + | 0.821901i | ||||
\(656\) | −2.67431 | + | 5.85593i | −0.104414 | + | 0.228636i | ||||
\(657\) | −1.85802 | + | 12.9228i | −0.0724884 | + | 0.504168i | ||||
\(658\) | 3.76220 | − | 2.41782i | 0.146666 | − | 0.0942564i | ||||
\(659\) | −10.2210 | − | 3.00115i | −0.398153 | − | 0.116908i | 0.0765255 | − | 0.997068i | \(-0.475617\pi\) |
−0.474678 | + | 0.880159i | \(0.657436\pi\) | |||||||
\(660\) | 3.33250 | + | 23.1781i | 0.129717 | + | 0.902205i | ||||
\(661\) | −15.0253 | − | 17.3401i | −0.584417 | − | 0.674453i | 0.384132 | − | 0.923278i | \(-0.374501\pi\) |
−0.968548 | + | 0.248826i | \(0.919955\pi\) | |||||||
\(662\) | −10.2178 | − | 6.56657i | −0.397125 | − | 0.255217i | ||||
\(663\) | −3.35591 | + | 3.87292i | −0.130333 | + | 0.150412i | ||||
\(664\) | 18.8029 | − | 5.52104i | 0.729696 | − | 0.214258i | ||||
\(665\) | 3.32332 | + | 7.27706i | 0.128873 | + | 0.282192i | ||||
\(666\) | 1.52786 | 0.0592035 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | −2.47214 | −0.0956498 | ||||||||
\(669\) | −3.71558 | − | 8.13600i | −0.143653 | − | 0.314556i | ||||
\(670\) | 2.02593 | − | 0.594866i | 0.0782684 | − | 0.0229817i | ||||
\(671\) | −23.8112 | + | 27.4796i | −0.919220 | + | 1.06084i | ||||
\(672\) | 34.1990 | + | 21.9784i | 1.31926 | + | 0.847835i | ||||
\(673\) | −1.96458 | − | 2.26725i | −0.0757291 | − | 0.0873960i | 0.716621 | − | 0.697463i | \(-0.245688\pi\) |
−0.792350 | + | 0.610067i | \(0.791142\pi\) | |||||||
\(674\) | 2.05960 | + | 14.3248i | 0.0793328 | + | 0.551772i | ||||
\(675\) | 7.44944 | + | 2.18735i | 0.286729 | + | 0.0841912i | ||||
\(676\) | 5.44471 | − | 3.49910i | 0.209412 | − | 0.134581i | ||||
\(677\) | 2.56167 | − | 17.8168i | 0.0984529 | − | 0.684755i | −0.879495 | − | 0.475907i | \(-0.842120\pi\) |
0.977948 | − | 0.208847i | \(-0.0669712\pi\) | |||||||
\(678\) | 5.03128 | − | 11.0170i | 0.193225 | − | 0.423104i | ||||
\(679\) | 23.8053 | − | 52.1264i | 0.913565 | − | 2.00043i | ||||
\(680\) | 0.300492 | − | 2.08996i | 0.0115233 | − | 0.0801465i | ||||
\(681\) | −22.9124 | + | 14.7249i | −0.878007 | + | 0.564261i | ||||
\(682\) | −20.8289 | − | 6.11591i | −0.797579 | − | 0.234190i | ||||
\(683\) | −3.78511 | − | 26.3260i | −0.144833 | − | 1.00734i | −0.924511 | − | 0.381156i | \(-0.875526\pi\) |
0.779677 | − | 0.626181i | \(-0.215383\pi\) | |||||||
\(684\) | 4.23835 | + | 4.89131i | 0.162057 | + | 0.187024i | ||||
\(685\) | −22.7607 | − | 14.6274i | −0.869643 | − | 0.558885i | ||||
\(686\) | −4.62052 | + | 5.33236i | −0.176412 | + | 0.203591i | ||||
\(687\) | 25.7459 | − | 7.55968i | 0.982267 | − | 0.288420i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −1.41641 | −0.0539608 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 7.05573 | 0.268413 | 0.134206 | − | 0.990953i | \(-0.457152\pi\) | ||||
0.134206 | + | 0.990953i | \(0.457152\pi\) | |||||||
\(692\) | −15.4221 | − | 33.7697i | −0.586261 | − | 1.28373i | ||||
\(693\) | 32.5158 | − | 9.54751i | 1.23517 | − | 0.362680i | ||||
\(694\) | 4.00215 | − | 4.61873i | 0.151920 | − | 0.175325i | ||||
\(695\) | 11.1349 | + | 7.15596i | 0.422370 | + | 0.271441i | ||||
\(696\) | 9.82291 | + | 11.3362i | 0.372336 | + | 0.429699i | ||||
\(697\) | −0.377487 | − | 2.62548i | −0.0142983 | − | 0.0994471i | ||||
\(698\) | −14.4789 | − | 4.25139i | −0.548035 | − | 0.160918i | ||||
\(699\) | 12.2796 | − | 7.89160i | 0.464456 | − | 0.298488i | ||||
\(700\) | 2.58733 | − | 17.9953i | 0.0977920 | − | 0.680158i | ||||
\(701\) | 1.58674 | − | 3.47449i | 0.0599305 | − | 0.131229i | −0.877297 | − | 0.479948i | \(-0.840656\pi\) |
0.937228 | + | 0.348718i | \(0.113383\pi\) | |||||||
\(702\) | 1.72227 | − | 3.77124i | 0.0650028 | − | 0.142336i | ||||
\(703\) | −0.351822 | + | 2.44697i | −0.0132692 | + | 0.0922893i | ||||
\(704\) | −1.03985 | + | 0.668269i | −0.0391907 | + | 0.0251863i | ||||
\(705\) | 5.92999 | + | 1.74120i | 0.223336 | + | 0.0655775i | ||||
\(706\) | −0.823322 | − | 5.72633i | −0.0309861 | − | 0.215513i | ||||
\(707\) | 9.47723 | + | 10.9373i | 0.356428 | + | 0.411340i | ||||
\(708\) | 19.6991 | + | 12.6599i | 0.740339 | + | 0.475787i | ||||
\(709\) | −27.5493 | + | 31.7935i | −1.03463 | + | 1.19403i | −0.0539278 | + | 0.998545i | \(0.517174\pi\) |
−0.980706 | + | 0.195487i | \(0.937371\pi\) | |||||||
\(710\) | 8.96888 | − | 2.63350i | 0.336596 | − | 0.0988336i | ||||
\(711\) | 9.09283 | + | 19.9105i | 0.341008 | + | 0.746703i | ||||
\(712\) | −23.4164 | −0.877567 | ||||||||
\(713\) | 0 | 0 | ||||||||
\(714\) | −3.41641 | −0.127856 | ||||||||
\(715\) | −8.06587 | − | 17.6618i | −0.301646 | − | 0.660513i | ||||
\(716\) | 1.09948 | − | 0.322837i | 0.0410895 | − | 0.0120650i | ||||
\(717\) | 20.1547 | − | 23.2598i | 0.752691 | − | 0.868652i | ||||
\(718\) | 10.3405 | + | 6.64545i | 0.385905 | + | 0.248006i | ||||
\(719\) | 2.00108 | + | 2.30937i | 0.0746276 | + | 0.0861248i | 0.791836 | − | 0.610734i | \(-0.209126\pi\) |
−0.717208 | + | 0.696859i | \(0.754580\pi\) | |||||||
\(720\) | 0.652313 | + | 4.53694i | 0.0243103 | + | 0.169082i | ||||
\(721\) | 12.9799 | + | 3.81124i | 0.483396 | + | 0.141938i | ||||
\(722\) | −7.79885 | + | 5.01202i | −0.290243 | + | 0.186528i | ||||
\(723\) | 7.35884 | − | 51.1819i | 0.273678 | − | 1.90347i | ||||
\(724\) | 11.1931 | − | 24.5094i | 0.415987 | − | 0.910884i | ||||
\(725\) | 4.32713 | − | 9.47510i | 0.160706 | − | 0.351896i | ||||
\(726\) | 3.22869 | − | 22.4560i | 0.119828 | − | 0.833420i | ||||
\(727\) | 23.3096 | − | 14.9802i | 0.864506 | − | 0.555584i | −0.0315616 | − | 0.999502i | \(-0.510048\pi\) |
0.896068 | + | 0.443917i | \(0.146412\pi\) | |||||||
\(728\) | −20.8289 | − | 6.11591i | −0.771969 | − | 0.226671i | ||||
\(729\) | 0.996204 | + | 6.92875i | 0.0368964 | + | 0.256620i | ||||
\(730\) | 3.26569 | + | 3.76881i | 0.120869 | + | 0.139490i | ||||
\(731\) | 0 | 0 | ||||||||
\(732\) | −16.4531 | + | 18.9879i | −0.608125 | + | 0.701814i | ||||
\(733\) | −29.9708 | + | 8.80022i | −1.10700 | + | 0.325043i | −0.783628 | − | 0.621230i | \(-0.786633\pi\) |
−0.323368 | + | 0.946273i | \(0.604815\pi\) | |||||||
\(734\) | 1.07326 | + | 2.35012i | 0.0396149 | + | 0.0867444i | ||||
\(735\) | 9.59675 | 0.353981 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 14.4721 | 0.533088 | ||||||||
\(738\) | −1.78288 | − | 3.90396i | −0.0656286 | − | 0.143707i | ||||
\(739\) | −25.7333 | + | 7.55597i | −0.946614 | + | 0.277951i | −0.718376 | − | 0.695655i | \(-0.755114\pi\) |
−0.228237 | + | 0.973606i | \(0.573296\pi\) | |||||||
\(740\) | −1.61890 | + | 1.86832i | −0.0595121 | + | 0.0686807i | ||||
\(741\) | −11.2866 | − | 7.25346i | −0.414624 | − | 0.266462i | ||||
\(742\) | −0.618367 | − | 0.713633i | −0.0227010 | − | 0.0261983i | ||||
\(743\) | 5.85264 | + | 40.7060i | 0.214713 | + | 1.49336i | 0.757138 | + | 0.653255i | \(0.226597\pi\) |
−0.542425 | + | 0.840104i | \(0.682494\pi\) | |||||||
\(744\) | −32.1824 | − | 9.44960i | −1.17986 | − | 0.346439i | ||||
\(745\) | 24.8404 | − | 15.9640i | 0.910083 | − | 0.584875i | ||||
\(746\) | 0.677978 | − | 4.71544i | 0.0248225 | − | 0.172645i | ||||
\(747\) | 7.28134 | − | 15.9439i | 0.266410 | − | 0.583357i | ||||
\(748\) | 2.68862 | − | 5.88726i | 0.0983058 | − | 0.215260i | ||||
\(749\) | −6.17880 | + | 42.9745i | −0.225768 | + | 1.57025i | ||||
\(750\) | −12.1747 | + | 7.82423i | −0.444558 | + | 0.285700i | ||||
\(751\) | 0.346070 | + | 0.101615i | 0.0126283 | + | 0.00370799i | 0.288041 | − | 0.957618i | \(-0.406996\pi\) |
−0.275412 | + | 0.961326i | \(0.588814\pi\) | |||||||
\(752\) | 0.590023 | + | 4.10370i | 0.0215159 | + | 0.149646i | ||||
\(753\) | −3.35591 | − | 3.87292i | −0.122296 | − | 0.141137i | ||||
\(754\) | −4.67931 | − | 3.00721i | −0.170410 | − | 0.109516i | ||||
\(755\) | 3.42890 | − | 3.95716i | 0.124790 | − | 0.144016i | ||||
\(756\) | −11.2339 | + | 3.29858i | −0.408574 | + | 0.119968i | ||||
\(757\) | −0.663313 | − | 1.45245i | −0.0241085 | − | 0.0527903i | 0.897195 | − | 0.441635i | \(-0.145601\pi\) |
−0.921303 | + | 0.388845i | \(0.872874\pi\) | |||||||
\(758\) | −15.0557 | −0.546849 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 5.52786 | 0.200517 | ||||||||
\(761\) | 19.2358 | + | 42.1205i | 0.697296 | + | 1.52687i | 0.843219 | + | 0.537570i | \(0.180658\pi\) |
−0.145923 | + | 0.989296i | \(0.546615\pi\) | |||||||
\(762\) | −9.66882 | + | 2.83902i | −0.350265 | + | 0.102847i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −35.6361 | − | 22.9019i | −1.28927 | − | 0.828562i | ||||
\(765\) | −1.23673 | − | 1.42727i | −0.0447142 | − | 0.0516029i | ||||
\(766\) | 0.620589 | + | 4.31629i | 0.0224228 | + | 0.155954i | ||||
\(767\) | −18.6299 | − | 5.47023i | −0.672687 | − | 0.197519i | ||||
\(768\) | 12.3444 | − | 7.93323i | 0.445439 | − | 0.286266i | ||||
\(769\) | −3.29098 | + | 22.8892i | −0.118676 | + | 0.825407i | 0.840341 | + | 0.542058i | \(0.182355\pi\) |
−0.959017 | + | 0.283349i | \(0.908554\pi\) | |||||||
\(770\) | 5.37724 | − | 11.7745i | 0.193782 | − | 0.424324i | ||||
\(771\) | 6.94084 | − | 15.1983i | 0.249968 | − | 0.547354i | ||||
\(772\) | 2.28987 | − | 15.9264i | 0.0824142 | − | 0.573204i | ||||
\(773\) | 4.65034 | − | 2.98859i | 0.167261 | − | 0.107492i | −0.454332 | − | 0.890832i | \(-0.650122\pi\) |
0.621593 | + | 0.783340i | \(0.286486\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 3.31477 | + | 23.0547i | 0.119070 | + | 0.828150i | ||||
\(776\) | −25.9304 | − | 29.9252i | −0.930846 | − | 1.07425i | ||||
\(777\) | 7.52440 | + | 4.83564i | 0.269936 | + | 0.173478i | ||||
\(778\) | 10.3318 | − | 11.9235i | 0.370413 | − | 0.427479i | ||||
\(779\) | 6.66298 | − | 1.95643i | 0.238726 | − | 0.0700963i | ||||
\(780\) | −5.57338 | − | 12.2040i | −0.199559 | − | 0.436973i | ||||
\(781\) | 64.0689 | 2.29256 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −6.70820 | −0.239732 | ||||||||
\(784\) | 2.67431 | + | 5.85593i | 0.0955112 | + | 0.209140i | ||||
\(785\) | 13.5398 | − | 3.97566i | 0.483258 | − | 0.141897i | ||||
\(786\) | 16.9308 | − | 19.5392i | 0.603903 | − | 0.696941i | ||||
\(787\) | −20.6810 | − | 13.2909i | −0.737199 | − | 0.473769i | 0.117382 | − | 0.993087i | \(-0.462550\pi\) |
−0.854581 | + | 0.519318i | \(0.826186\pi\) | |||||||
\(788\) | −1.55986 | − | 1.80017i | −0.0555676 | − | 0.0641284i | ||||
\(789\) | −0.936943 | − | 6.51658i | −0.0333560 | − | 0.231996i | ||||
\(790\) | 8.02201 | + | 2.35548i | 0.285410 | + | 0.0838041i | ||||
\(791\) | 23.8585 | − | 15.3329i | 0.848311 | − | 0.545177i | ||||
\(792\) | 3.33250 | − | 23.1781i | 0.118415 | − | 0.823597i | ||||
\(793\) | 8.65426 | − | 18.9502i | 0.307322 | − | 0.672941i | ||||
\(794\) | −6.26868 | + | 13.7265i | −0.222467 | + | 0.487135i | ||||
\(795\) | 0.185714 | − | 1.29167i | 0.00658660 | − | 0.0458108i | ||||
\(796\) | −16.7313 | + | 10.7526i | −0.593025 | + | 0.381114i | ||||
\(797\) | −32.9688 | − | 9.68052i | −1.16782 | − | 0.342902i | −0.360351 | − | 0.932817i | \(-0.617343\pi\) |
−0.807465 | + | 0.589915i | \(0.799161\pi\) | |||||||
\(798\) | −1.27290 | − | 8.85323i | −0.0450603 | − | 0.313401i | ||||
\(799\) | −1.11864 | − | 1.29097i | −0.0395745 | − | 0.0456714i | ||||
\(800\) | −16.4100 | − | 10.5461i | −0.580180 | − | 0.372859i | ||||
\(801\) | −13.7156 | + | 15.8286i | −0.484616 | + | 0.559277i | ||||
\(802\) | −8.40893 | + | 2.46908i | −0.296930 | + | 0.0871864i | ||||
\(803\) | 14.1990 | + | 31.0915i | 0.501073 | + | 1.09720i | ||||
\(804\) | 10.0000 | 0.352673 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 12.4377 | 0.438099 | ||||||||
\(807\) | 7.37940 | + | 16.1586i | 0.259767 | + | 0.568811i | ||||
\(808\) | 9.59493 | − | 2.81733i | 0.337548 | − | 0.0991132i | ||||
\(809\) | −7.93132 | + | 9.15323i | −0.278850 | + | 0.321810i | −0.877847 | − | 0.478941i | \(-0.841021\pi\) |
0.598997 | + | 0.800751i | \(0.295566\pi\) | |||||||
\(810\) | 7.06927 | + | 4.54314i | 0.248389 | + | 0.159630i | ||||
\(811\) | 15.9442 | + | 18.4006i | 0.559878 | + | 0.646134i | 0.963156 | − | 0.268944i | \(-0.0866747\pi\) |
−0.403278 | + | 0.915078i | \(0.632129\pi\) | |||||||
\(812\) | 2.23551 | + | 15.5483i | 0.0784510 | + | 0.545639i | ||||
\(813\) | 17.1639 | + | 5.03979i | 0.601965 | + | 0.176753i | ||||
\(814\) | 3.36501 | − | 2.16256i | 0.117944 | − | 0.0757978i | ||||
\(815\) | −1.01394 | + | 7.05209i | −0.0355167 | + | 0.247024i | ||||
\(816\) | 1.31570 | − | 2.88097i | 0.0460586 | − | 0.100854i | ||||
\(817\) | 0 | 0 | ||||||||
\(818\) | −1.87879 | + | 13.0673i | −0.0656903 | + | 0.456886i | ||||
\(819\) | −16.3341 | + | 10.4973i | −0.570760 | + | 0.366805i | ||||
\(820\) | 6.66298 | + | 1.95643i | 0.232681 | + | 0.0683214i | ||||
\(821\) | 5.54235 | + | 38.5479i | 0.193429 | + | 1.34533i | 0.822847 | + | 0.568263i | \(0.192384\pi\) |
−0.629418 | + | 0.777067i | \(0.716707\pi\) | |||||||
\(822\) | 19.8090 | + | 22.8608i | 0.690919 | + | 0.797363i | ||||
\(823\) | −33.2640 | − | 21.3775i | −1.15951 | − | 0.745172i | −0.188000 | − | 0.982169i | \(-0.560201\pi\) |
−0.971510 | + | 0.236997i | \(0.923837\pi\) | |||||||
\(824\) | 6.12133 | − | 7.06439i | 0.213247 | − | 0.246100i | ||||
\(825\) | −39.0058 | + | 11.4531i | −1.35801 | + | 0.398747i | ||||
\(826\) | −5.37724 | − | 11.7745i | −0.187098 | − | 0.409688i | ||||
\(827\) | −1.52786 | −0.0531290 | −0.0265645 | − | 0.999647i | \(-0.508457\pi\) | ||||
−0.0265645 | + | 0.999647i | \(0.508457\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 40.2492 | 1.39791 | 0.698957 | − | 0.715164i | \(-0.253648\pi\) | ||||
0.698957 | + | 0.715164i | \(0.253648\pi\) | |||||||
\(830\) | −2.78122 | − | 6.09003i | −0.0965377 | − | 0.211388i | ||||
\(831\) | 33.1953 | − | 9.74703i | 1.15153 | − | 0.338121i | ||||
\(832\) | 0.463775 | − | 0.535225i | 0.0160785 | − | 0.0185556i | ||||
\(833\) | −2.23140 | − | 1.43404i | −0.0773136 | − | 0.0496864i | ||||
\(834\) | −9.69087 | − | 11.1839i | −0.335568 | − | 0.387266i | ||||
\(835\) | 0.268768 | + | 1.86932i | 0.00930109 | + | 0.0646905i | ||||
\(836\) | 16.2579 | + | 4.77375i | 0.562292 | + | 0.165104i | ||||
\(837\) | 12.6188 | − | 8.10961i | 0.436170 | − | 0.280309i | ||||
\(838\) | −0.403152 | + | 2.80398i | −0.0139266 | + | 0.0968619i | ||||
\(839\) | 17.0838 | − | 37.4083i | 0.589798 | − | 1.29148i | −0.345767 | − | 0.938320i | \(-0.612381\pi\) |
0.935564 | − | 0.353156i | \(-0.114892\pi\) | |||||||
\(840\) | 8.30830 | − | 18.1926i | 0.286664 | − | 0.627706i | ||||
\(841\) | 2.84630 | − | 19.7964i | 0.0981482 | − | 0.682635i | ||||
\(842\) | 5.35094 | − | 3.43884i | 0.184406 | − | 0.118510i | ||||
\(843\) | 18.8029 | + | 5.52104i | 0.647608 | + | 0.190155i | ||||
\(844\) | −5.39210 | − | 37.5029i | −0.185604 | − | 1.29090i | ||||
\(845\) | −3.23781 | − | 3.73663i | −0.111384 | − | 0.128544i | ||||
\(846\) | −2.32517 | − | 1.49429i | −0.0799409 | − | 0.0513749i | ||||
\(847\) | 34.7892 | − | 40.1489i | 1.19537 | − | 1.37953i | ||||
\(848\) | 0.839929 | − | 0.246625i | 0.0288433 | − | 0.00846915i | ||||
\(849\) | 25.7380 | + | 56.3585i | 0.883327 | + | 1.93422i | ||||
\(850\) | 1.63932 | 0.0562282 | ||||||||
\(851\) | 0 | 0 | ||||||||
\(852\) | 44.2705 | 1.51668 | ||||||||
\(853\) | −4.39658 | − | 9.62717i | −0.150536 | − | 0.329628i | 0.819308 | − | 0.573353i | \(-0.194358\pi\) |
−0.969844 | + | 0.243725i | \(0.921630\pi\) | |||||||
\(854\) | 13.3260 | − | 3.91285i | 0.456005 | − | 0.133895i | ||||
\(855\) | 3.23781 | − | 3.73663i | 0.110731 | − | 0.127790i | ||||
\(856\) | 25.2376 | + | 16.2192i | 0.862604 | + | 0.554362i | ||||
\(857\) | −0.964044 | − | 1.11257i | −0.0329311 | − | 0.0380045i | 0.739045 | − | 0.673656i | \(-0.235277\pi\) |
−0.771976 | + | 0.635651i | \(0.780732\pi\) | |||||||
\(858\) | 3.08940 | + | 21.4872i | 0.105470 | + | 0.733562i | ||||
\(859\) | 16.0314 | + | 4.70725i | 0.546984 | + | 0.160609i | 0.543537 | − | 0.839385i | \(-0.317085\pi\) |
0.00344703 | + | 0.999994i | \(0.498903\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 3.57561 | − | 24.8689i | 0.121856 | − | 0.847529i | ||||
\(862\) | 4.50011 | − | 9.85388i | 0.153275 | − | 0.335624i | ||||
\(863\) | −8.94846 | + | 19.5944i | −0.304609 | + | 0.667001i | −0.998595 | − | 0.0529874i | \(-0.983126\pi\) |
0.693986 | + | 0.719989i | \(0.255853\pi\) | |||||||
\(864\) | −1.78780 | + | 12.4344i | −0.0608223 | + | 0.423028i | ||||
\(865\) | −23.8585 | + | 15.3329i | −0.811214 | + | 0.521336i | ||||
\(866\) | 10.5670 | + | 3.10276i | 0.359083 | + | 0.105436i | ||||
\(867\) | −5.22412 | − | 36.3346i | −0.177420 | − | 1.23399i | ||||
\(868\) | −23.0017 | − | 26.5454i | −0.780730 | − | 0.901010i | ||||
\(869\) | 48.2080 | + | 30.9814i | 1.63534 | + | 1.05097i | ||||
\(870\) | 3.35591 | − | 3.87292i | 0.113776 | − | 0.131304i | ||||
\(871\) | −7.95592 | + | 2.33607i | −0.269576 | + | 0.0791547i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −35.4164 | −1.19866 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −33.8885 | −1.14564 | ||||||||
\(876\) | 9.81129 | + | 21.4837i | 0.331493 | + | 0.725868i | ||||
\(877\) | 34.9948 | − | 10.2754i | 1.18169 | − | 0.346975i | 0.368864 | − | 0.929483i | \(-0.379747\pi\) |
0.812825 | + | 0.582508i | \(0.197929\pi\) | |||||||
\(878\) | 7.57170 | − | 8.73821i | 0.255533 | − | 0.294900i | ||||
\(879\) | −2.87407 | − | 1.84705i | −0.0969398 | − | 0.0622994i | ||||
\(880\) | 7.85833 | + | 9.06899i | 0.264904 | + | 0.305716i | ||||
\(881\) | 6.28752 | + | 43.7306i | 0.211832 | + | 1.47332i | 0.767033 | + | 0.641607i | \(0.221732\pi\) |
−0.555202 | + | 0.831716i | \(0.687359\pi\) | |||||||
\(882\) | −4.11795 | − | 1.20914i | −0.138659 | − | 0.0407138i | ||||
\(883\) | 3.36501 | − | 2.16256i | 0.113242 | − | 0.0727760i | −0.482794 | − | 0.875734i | \(-0.660378\pi\) |
0.596036 | + | 0.802958i | \(0.296742\pi\) | |||||||
\(884\) | −0.527732 | + | 3.67046i | −0.0177496 | + | 0.123451i | ||||
\(885\) | 7.43117 | − | 16.2720i | 0.249796 | − | 0.546977i | ||||
\(886\) | 9.78814 | − | 21.4330i | 0.328839 | − | 0.720057i | ||||
\(887\) | −3.28304 | + | 22.8341i | −0.110234 | + | 0.766693i | 0.857457 | + | 0.514555i | \(0.172043\pi\) |
−0.967691 | + | 0.252138i | \(0.918866\pi\) | |||||||
\(888\) | 5.19923 | − | 3.34134i | 0.174475 | − | 0.112128i | ||||
\(889\) | −22.6409 | − | 6.64797i | −0.759352 | − | 0.222966i | ||||
\(890\) | 1.13852 | + | 7.91857i | 0.0381632 | + | 0.265431i | ||||
\(891\) | 37.7178 | + | 43.5287i | 1.26360 | + | 1.45827i | ||||
\(892\) | −5.44471 | − | 3.49910i | −0.182302 | − | 0.117159i | ||||
\(893\) | 2.92863 | − | 3.37981i | 0.0980027 | − | 0.113101i | ||||
\(894\) | −31.6759 | + | 9.30088i | −1.05940 | + | 0.311068i | ||||
\(895\) | −0.363649 | − | 0.796281i | −0.0121555 | − | 0.0266167i | ||||
\(896\) | 36.8328 | 1.23050 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −9.23607 | −0.308212 | ||||||||
\(899\) | −8.36007 | − | 18.3060i | −0.278824 | − | 0.610539i | ||||
\(900\) | −10.7809 | + | 3.16557i | −0.359364 | + | 0.105519i | ||||
\(901\) | −0.236195 | + | 0.272584i | −0.00786880 | + | 0.00908108i | ||||
\(902\) | −9.45238 | − | 6.07468i | −0.314730 | − | 0.202265i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −2.78891 | − | 19.3973i | −0.0927577 | − | 0.645144i | ||||
\(905\) | −19.7498 | − | 5.79907i | −0.656506 | − | 0.192768i | ||||
\(906\) | −4.92478 | + | 3.16497i | −0.163615 | + | 0.105149i | ||||
\(907\) | −5.72806 | + | 39.8395i | −0.190197 | + | 1.32285i | 0.641287 | + | 0.767301i | \(0.278401\pi\) |
−0.831484 | + | 0.555549i | \(0.812508\pi\) | |||||||
\(908\) | −8.18708 | + | 17.9272i | −0.271698 | + | 0.594935i | ||||
\(909\) | 3.71558 | − | 8.13600i | 0.123238 | − | 0.269854i | ||||
\(910\) | −1.05546 | + | 7.34092i | −0.0349883 | + | 0.243349i | ||||
\(911\) | −26.3354 | + | 16.9247i | −0.872531 | + | 0.560741i | −0.898526 | − | 0.438921i | \(-0.855361\pi\) |
0.0259951 | + | 0.999662i | \(0.491725\pi\) | |||||||
\(912\) | 7.95592 | + | 2.33607i | 0.263447 | + | 0.0773550i | ||||
\(913\) | −6.53062 | − | 45.4215i | −0.216132 | − | 1.50323i | ||||
\(914\) | −2.07406 | − | 2.39360i | −0.0686040 | − | 0.0791732i | ||||
\(915\) | 16.1466 | + | 10.3768i | 0.533790 | + | 0.343046i | ||||
\(916\) | 12.7150 | − | 14.6739i | 0.420117 | − | 0.484841i | ||||
\(917\) | 58.0887 | − | 17.0564i | 1.91826 | − | 0.563251i | ||||
\(918\) | −0.438565 | − | 0.960324i | −0.0144748 | − | 0.0316954i | ||||
\(919\) | −41.1246 | −1.35658 | −0.678288 | − | 0.734796i | \(-0.737278\pi\) | ||||
−0.678288 | + | 0.734796i | \(0.737278\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −21.3050 | −0.702022 | ||||||||
\(922\) | −0.377957 | − | 0.827611i | −0.0124474 | − | 0.0272559i | ||||
\(923\) | −35.2213 | + | 10.3419i | −1.15932 | + | 0.340408i | ||||
\(924\) | 40.1462 | − | 46.3312i | 1.32071 | − | 1.52418i | ||||
\(925\) | −3.61049 | − | 2.32032i | −0.118712 | − | 0.0762917i | ||||
\(926\) | 8.09452 | + | 9.34158i | 0.266003 | + | 0.306983i | ||||
\(927\) | −1.18985 | − | 8.27558i | −0.0390798 | − | 0.271806i | ||||
\(928\) | 16.1714 | + | 4.74835i | 0.530852 | + | 0.155872i | ||||
\(929\) | −20.2370 | + | 13.0055i | −0.663953 | + | 0.426697i | −0.828741 | − | 0.559632i | \(-0.810942\pi\) |
0.164788 | + | 0.986329i | \(0.447306\pi\) | |||||||
\(930\) | −1.63078 | + | 11.3423i | −0.0534755 | + | 0.371930i | ||||
\(931\) | 2.88475 | − | 6.31673i | 0.0945440 | − | 0.207023i | ||||
\(932\) | 4.38774 | − | 9.60781i | 0.143725 | − | 0.314714i | ||||
\(933\) | 4.19432 | − | 29.1722i | 0.137316 | − | 0.955053i | ||||
\(934\) | 6.78798 | − | 4.36237i | 0.222109 | − | 0.142741i | ||||
\(935\) | −4.74399 | − | 1.39296i | −0.155145 | − | 0.0455547i | ||||
\(936\) | 1.90935 | + | 13.2798i | 0.0624092 | + | 0.434065i | ||||
\(937\) | 22.3834 | + | 25.8318i | 0.731233 | + | 0.843887i | 0.992610 | − | 0.121349i | \(-0.0387221\pi\) |
−0.261377 | + | 0.965237i | \(0.584177\pi\) | |||||||
\(938\) | −4.65034 | − | 2.98859i | −0.151839 | − | 0.0975809i | ||||
\(939\) | −35.6717 | + | 41.1673i | −1.16410 | + | 1.34344i | ||||
\(940\) | 4.29098 | − | 1.25995i | 0.139956 | − | 0.0410949i | ||||
\(941\) | −2.76354 | − | 6.05130i | −0.0900888 | − | 0.197267i | 0.859224 | − | 0.511599i | \(-0.170947\pi\) |
−0.949313 | + | 0.314332i | \(0.898219\pi\) | |||||||
\(942\) | −15.7771 | −0.514045 | ||||||||
\(943\) | 0 | 0 | ||||||||
\(944\) | 12.0000 | 0.390567 | ||||||||
\(945\) | 3.71558 | + | 8.13600i | 0.120868 | + | 0.264664i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 7.08537 | − | 8.17695i | 0.230244 | − | 0.265715i | −0.628858 | − | 0.777520i | \(-0.716477\pi\) |
0.859102 | + | 0.511805i | \(0.171023\pi\) | |||||||
\(948\) | 33.3109 | + | 21.4076i | 1.08189 | + | 0.695287i | ||||
\(949\) | −12.8245 | − | 14.8003i | −0.416302 | − | 0.480438i | ||||
\(950\) | 0.610786 | + | 4.24811i | 0.0198165 | + | 0.137827i | ||||
\(951\) | 54.5307 | + | 16.0117i | 1.76828 | + | 0.519213i | ||||
\(952\) | −4.65034 | + | 2.98859i | −0.150718 | + | 0.0968607i | ||||
\(953\) | 2.91349 | − | 20.2638i | 0.0943772 | − | 0.656408i | −0.886636 | − | 0.462468i | \(-0.846964\pi\) |
0.981013 | − | 0.193940i | \(-0.0621267\pi\) | |||||||
\(954\) | −0.242433 | + | 0.530854i | −0.00784906 | + | 0.0171870i | ||||
\(955\) | −13.4431 | + | 29.4363i | −0.435009 | + | 0.952537i | ||||
\(956\) | 3.16942 | − | 22.0438i | 0.102506 | − | 0.712948i | ||||
\(957\) | 29.5487 | − | 18.9898i | 0.955174 | − | 0.613853i | ||||
\(958\) | 18.7368 | + | 5.50164i | 0.605360 | + | 0.177750i | ||||
\(959\) | 10.0806 | + | 70.1118i | 0.325518 | + | 2.26403i | ||||
\(960\) | 0.427281 | + | 0.493108i | 0.0137904 | + | 0.0159150i | ||||
\(961\) | 11.7775 | + | 7.56897i | 0.379921 | + | 0.244160i | ||||
\(962\) | −1.50081 | + | 1.73202i | −0.0483880 | + | 0.0558427i | ||||
\(963\) | 25.7459 | − | 7.55968i | 0.829650 | − | 0.243607i | ||||
\(964\) | −15.5433 | − | 34.0352i | −0.500617 | − | 1.09620i | ||||
\(965\) | −12.2918 | −0.395687 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 27.5410 | 0.885659 | 0.442830 | − | 0.896606i | \(-0.353975\pi\) | ||||
0.442830 | + | 0.896606i | \(0.353975\pi\) | |||||||
\(968\) | −15.2491 | − | 33.3910i | −0.490126 | − | 1.07323i | ||||
\(969\) | −3.27802 | + | 0.962513i | −0.105305 | + | 0.0309204i | ||||
\(970\) | −8.85887 | + | 10.2237i | −0.284441 | + | 0.328263i | ||||
\(971\) | −13.8572 | − | 8.90551i | −0.444700 | − | 0.285791i | 0.299065 | − | 0.954233i | \(-0.403325\pi\) |
−0.743765 | + | 0.668441i | \(0.766962\pi\) | |||||||
\(972\) | 18.9545 | + | 21.8746i | 0.607965 | + | 0.701629i | ||||
\(973\) | −4.93156 | − | 34.2998i | −0.158099 | − | 1.09960i | ||||
\(974\) | 8.72195 | + | 2.56100i | 0.279469 | + | 0.0820596i | ||||
\(975\) | 19.5943 | − | 12.5925i | 0.627520 | − | 0.403283i | ||||
\(976\) | −1.83236 | + | 12.7443i | −0.0586524 | + | 0.407936i | ||||
\(977\) | 9.69891 | − | 21.2377i | 0.310296 | − | 0.679453i | −0.688663 | − | 0.725082i | \(-0.741802\pi\) |
0.998958 | + | 0.0456290i | \(0.0145292\pi\) | |||||||
\(978\) | 3.30901 | − | 7.24573i | 0.105811 | − | 0.231693i | ||||
\(979\) | −7.80352 | + | 54.2747i | −0.249402 | + | 1.73463i | ||||
\(980\) | 5.84189 | − | 3.75436i | 0.186612 | − | 0.119929i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −0.734210 | − | 5.10654i | −0.0234296 | − | 0.162956i | ||||
\(983\) | −26.5036 | − | 30.5868i | −0.845334 | − | 0.975567i | 0.154589 | − | 0.987979i | \(-0.450595\pi\) |
−0.999923 | + | 0.0124115i | \(0.996049\pi\) | |||||||
\(984\) | −14.6047 | − | 9.38589i | −0.465582 | − | 0.299211i | ||||
\(985\) | −1.19162 | + | 1.37521i | −0.0379683 | + | 0.0438177i | ||||
\(986\) | −1.35903 | + | 0.399048i | −0.0432804 | + | 0.0127083i | ||||
\(987\) | −6.72156 | − | 14.7182i | −0.213949 | − | 0.468484i | ||||
\(988\) | −9.70820 | −0.308859 | ||||||||
\(989\) | 0 | 0 | ||||||||
\(990\) | −8.00000 | −0.254257 | ||||||||
\(991\) | 9.96996 | + | 21.8312i | 0.316706 | + | 0.693490i | 0.999304 | − | 0.0373044i | \(-0.0118771\pi\) |
−0.682598 | + | 0.730794i | \(0.739150\pi\) | |||||||
\(992\) | −36.1603 | + | 10.6176i | −1.14809 | + | 0.337110i | ||||
\(993\) | −28.7774 | + | 33.2109i | −0.913222 | + | 1.05391i | ||||
\(994\) | −20.5873 | − | 13.2306i | −0.652989 | − | 0.419650i | ||||
\(995\) | 9.94962 | + | 11.4825i | 0.315424 | + | 0.364019i | ||||
\(996\) | −4.51255 | − | 31.3855i | −0.142986 | − | 0.994486i | ||||
\(997\) | −16.1510 | − | 4.74235i | −0.511506 | − | 0.150192i | 0.0157866 | − | 0.999875i | \(-0.494975\pi\) |
−0.527293 | + | 0.849684i | \(0.676793\pi\) | |||||||
\(998\) | 10.0303 | − | 6.44605i | 0.317502 | − | 0.204046i | ||||
\(999\) | −0.393349 | + | 2.73580i | −0.0124450 | + | 0.0865569i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))