Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(62,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.62");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.o (of order \(6\), degree \(2\), 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: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 7x^{10} + 37x^{8} - 78x^{6} + 123x^{4} - 36x^{2} + 9 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 3^{2} \) |
Twist minimal: | no (minimal twist has level 63) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 125.1 | ||
Root | \(-1.82904 - 1.05600i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 189.125 |
Dual form | 189.2.o.a.62.1 |
$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.02704 | + | 0.592963i | −0.726228 | + | 0.419288i | −0.817041 | − | 0.576580i | \(-0.804387\pi\) |
0.0908124 | + | 0.995868i | \(0.471054\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.296790 | + | 0.514055i | −0.148395 | + | 0.257027i | ||||
\(5\) | −1.41899 | + | 2.45776i | −0.634590 | + | 1.09914i | 0.352012 | + | 0.935995i | \(0.385498\pi\) |
−0.986602 | + | 0.163146i | \(0.947836\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.07253 | − | 1.64457i | −0.783344 | − | 0.621589i | ||||
\(8\) | − | 3.07579i | − | 1.08746i | ||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | − | 3.36562i | − | 1.06430i | ||||||
\(11\) | −0.136673 | + | 0.0789082i | −0.0412085 | + | 0.0237917i | −0.520463 | − | 0.853884i | \(-0.674241\pi\) |
0.479254 | + | 0.877676i | \(0.340907\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.41468 | − | 1.97146i | −0.947061 | − | 0.546786i | −0.0548943 | − | 0.998492i | \(-0.517482\pi\) |
−0.892167 | + | 0.451706i | \(0.850816\pi\) | |||||||
\(14\) | 3.10375 | + | 0.460106i | 0.829511 | + | 0.122968i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.23025 | + | 2.13086i | 0.307563 | + | 0.532715i | ||||
\(17\) | −4.14487 | −1.00528 | −0.502640 | − | 0.864496i | \(-0.667638\pi\) | ||||
−0.502640 | + | 0.864496i | \(0.667638\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 6.33597i | 1.45357i | 0.686864 | + | 0.726786i | \(0.258987\pi\) | ||||
−0.686864 | + | 0.726786i | \(0.741013\pi\) | |||||||
\(20\) | −0.842281 | − | 1.45887i | −0.188340 | − | 0.326214i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.0935793 | − | 0.162084i | 0.0199512 | − | 0.0345565i | ||||
\(23\) | −0.472958 | − | 0.273062i | −0.0986185 | − | 0.0569374i | 0.449880 | − | 0.893089i | \(-0.351467\pi\) |
−0.548498 | + | 0.836152i | \(0.684800\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.52704 | − | 2.64491i | −0.305408 | − | 0.528983i | ||||
\(26\) | 4.67602 | 0.917044 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.46050 | − | 0.577305i | 0.276009 | − | 0.109100i | ||||
\(29\) | −4.02704 | + | 2.32501i | −0.747803 | + | 0.431744i | −0.824900 | − | 0.565279i | \(-0.808768\pi\) |
0.0770966 | + | 0.997024i | \(0.475435\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.112086 | + | 0.0647129i | 0.0201313 | + | 0.0116228i | 0.510032 | − | 0.860156i | \(-0.329634\pi\) |
−0.489901 | + | 0.871778i | \(0.662967\pi\) | |||||||
\(32\) | 2.80039 | + | 1.61680i | 0.495043 | + | 0.285813i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 4.25696 | − | 2.45776i | 0.730062 | − | 0.421502i | ||||
\(35\) | 6.98284 | − | 2.76016i | 1.18032 | − | 0.466552i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.46050 | −0.404505 | −0.202252 | − | 0.979333i | \(-0.564826\pi\) | ||||
−0.202252 | + | 0.979333i | \(0.564826\pi\) | |||||||
\(38\) | −3.75700 | − | 6.50731i | −0.609465 | − | 1.05563i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 7.55955 | + | 4.36451i | 1.19527 | + | 0.690089i | ||||
\(41\) | 1.99569 | − | 3.45664i | 0.311675 | − | 0.539836i | −0.667050 | − | 0.745013i | \(-0.732443\pi\) |
0.978725 | + | 0.205176i | \(0.0657768\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 3.28434 | + | 5.68864i | 0.500857 | + | 0.867509i | 1.00000 | 0.000989450i | \(0.000314952\pi\) | |
−0.499143 | + | 0.866520i | \(0.666352\pi\) | |||||||
\(44\) | − | 0.0936766i | − | 0.0141223i | ||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.647664 | 0.0954928 | ||||||||
\(47\) | 4.33370 | + | 7.50619i | 0.632135 | + | 1.09489i | 0.987114 | + | 0.160016i | \(0.0511547\pi\) |
−0.354979 | + | 0.934874i | \(0.615512\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.59079 | + | 6.81685i | 0.227255 | + | 0.973835i | ||||
\(50\) | 3.13667 | + | 1.81096i | 0.443593 | + | 0.256108i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.02688 | − | 1.17022i | 0.281078 | − | 0.162280i | ||||
\(53\) | 2.60234i | 0.357459i | 0.983898 | + | 0.178730i | \(0.0571988\pi\) | ||||
−0.983898 | + | 0.178730i | \(0.942801\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 0.447879i | − | 0.0603920i | ||||||
\(56\) | −5.05835 | + | 6.37468i | −0.675951 | + | 0.851853i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 2.75729 | − | 4.77577i | 0.362051 | − | 0.627090i | ||||
\(59\) | −1.80686 | + | 3.12957i | −0.235233 | + | 0.407436i | −0.959340 | − | 0.282252i | \(-0.908919\pi\) |
0.724107 | + | 0.689687i | \(0.242252\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.91472 | + | 1.68281i | −0.373191 | + | 0.215462i | −0.674852 | − | 0.737953i | \(-0.735792\pi\) |
0.301660 | + | 0.953415i | \(0.402459\pi\) | |||||||
\(62\) | −0.153489 | −0.0194932 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −8.75583 | −1.09448 | ||||||||
\(65\) | 9.69076 | − | 5.59496i | 1.20199 | − | 0.693970i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.663715 | + | 1.14959i | −0.0810857 | + | 0.140445i | −0.903717 | − | 0.428131i | \(-0.859172\pi\) |
0.822631 | + | 0.568576i | \(0.192505\pi\) | |||||||
\(68\) | 1.23016 | − | 2.13069i | 0.149178 | − | 0.258384i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −5.53500 | + | 6.97537i | −0.661559 | + | 0.833716i | ||||
\(71\) | 0.409310i | 0.0485761i | 0.999705 | + | 0.0242881i | \(0.00773189\pi\) | ||||
−0.999705 | + | 0.0242881i | \(0.992268\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 15.0124i | − | 1.75707i | −0.477681 | − | 0.878533i | \(-0.658522\pi\) | ||
0.477681 | − | 0.878533i | \(-0.341478\pi\) | |||||||
\(74\) | 2.52704 | − | 1.45899i | 0.293763 | − | 0.169604i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −3.25704 | − | 1.88045i | −0.373608 | − | 0.215703i | ||||
\(77\) | 0.413030 | + | 0.0612283i | 0.0470691 | + | 0.00697762i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.16372 | − | 3.74766i | −0.243437 | − | 0.421645i | 0.718254 | − | 0.695781i | \(-0.244942\pi\) |
−0.961691 | + | 0.274136i | \(0.911608\pi\) | |||||||
\(80\) | −6.98284 | −0.780706 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 4.73348i | 0.522726i | ||||||||
\(83\) | −3.22585 | − | 5.58733i | −0.354083 | − | 0.613289i | 0.632878 | − | 0.774252i | \(-0.281874\pi\) |
−0.986961 | + | 0.160963i | \(0.948540\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 5.88151 | − | 10.1871i | 0.637940 | − | 1.10494i | ||||
\(86\) | −6.74630 | − | 3.89498i | −0.727473 | − | 0.420007i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.242705 | + | 0.420378i | 0.0258725 | + | 0.0448125i | ||||
\(89\) | −5.05368 | −0.535689 | −0.267845 | − | 0.963462i | \(-0.586311\pi\) | ||||
−0.267845 | + | 0.963462i | \(0.586311\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 3.83482 | + | 9.70160i | 0.401999 | + | 1.01700i | ||||
\(92\) | 0.280738 | − | 0.162084i | 0.0292690 | − | 0.0168984i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −8.90179 | − | 5.13945i | −0.918150 | − | 0.530094i | ||||
\(95\) | −15.5723 | − | 8.99066i | −1.59768 | − | 0.922422i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −2.18452 | + | 1.26123i | −0.221805 | + | 0.128059i | −0.606786 | − | 0.794866i | \(-0.707541\pi\) |
0.384981 | + | 0.922925i | \(0.374208\pi\) | |||||||
\(98\) | −5.67594 | − | 6.05791i | −0.573357 | − | 0.611941i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 1.81284 | 0.181284 | ||||||||
\(101\) | −1.49573 | − | 2.59068i | −0.148831 | − | 0.257782i | 0.781965 | − | 0.623323i | \(-0.214218\pi\) |
−0.930796 | + | 0.365540i | \(0.880884\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −11.4286 | − | 6.59832i | −1.12610 | − | 0.650152i | −0.183146 | − | 0.983086i | \(-0.558628\pi\) |
−0.942950 | + | 0.332934i | \(0.891962\pi\) | |||||||
\(104\) | −6.06382 | + | 10.5028i | −0.594606 | + | 1.02989i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1.54309 | − | 2.67272i | −0.149879 | − | 0.259597i | ||||
\(107\) | 19.5555i | 1.89051i | 0.326339 | + | 0.945253i | \(0.394185\pi\) | ||||
−0.326339 | + | 0.945253i | \(0.605815\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 13.2484 | 1.26897 | 0.634485 | − | 0.772935i | \(-0.281212\pi\) | ||||
0.634485 | + | 0.772935i | \(0.281212\pi\) | |||||||
\(110\) | 0.265576 | + | 0.459990i | 0.0253216 | + | 0.0438584i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.954606 | − | 6.43951i | 0.0902018 | − | 0.608477i | ||||
\(113\) | 8.72665 | + | 5.03834i | 0.820935 | + | 0.473967i | 0.850739 | − | 0.525589i | \(-0.176155\pi\) |
−0.0298041 | + | 0.999556i | \(0.509488\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.34224 | − | 0.774943i | 0.125165 | − | 0.0722638i | ||||
\(116\) | − | 2.76016i | − | 0.256274i | ||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | − | 4.28561i | − | 0.394522i | ||||||
\(119\) | 8.59038 | + | 6.81653i | 0.787479 | + | 0.624870i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −5.48755 | + | 9.50471i | −0.498868 | + | 0.864065i | ||||
\(122\) | 1.99569 | − | 3.45664i | 0.180681 | − | 0.312949i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −0.0665320 | + | 0.0384123i | −0.00597475 | + | 0.00344952i | ||||
\(125\) | −5.52245 | −0.493943 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −12.4897 | −1.10828 | −0.554140 | − | 0.832423i | \(-0.686953\pi\) | ||||
−0.554140 | + | 0.832423i | \(0.686953\pi\) | |||||||
\(128\) | 3.39183 | − | 1.95827i | 0.299798 | − | 0.173089i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −6.63521 | + | 11.4925i | −0.581946 | + | 1.00796i | ||||
\(131\) | 5.02249 | − | 8.69921i | 0.438817 | − | 0.760054i | −0.558781 | − | 0.829315i | \(-0.688731\pi\) |
0.997599 | + | 0.0692612i | \(0.0220642\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 10.4199 | − | 13.1315i | 0.903524 | − | 1.13865i | ||||
\(134\) | − | 1.57423i | − | 0.135993i | ||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 12.7488i | 1.09320i | ||||||||
\(137\) | 6.96410 | − | 4.02073i | 0.594984 | − | 0.343514i | −0.172082 | − | 0.985083i | \(-0.555049\pi\) |
0.767066 | + | 0.641569i | \(0.221716\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 16.3702 | + | 9.45136i | 1.38850 | + | 0.801654i | 0.993147 | − | 0.116873i | \(-0.0372872\pi\) |
0.395358 | + | 0.918527i | \(0.370621\pi\) | |||||||
\(140\) | −0.653562 | + | 4.40875i | −0.0552361 | + | 0.372607i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −0.242705 | − | 0.420378i | −0.0203674 | − | 0.0352774i | ||||
\(143\) | 0.622259 | 0.0520359 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | − | 13.1966i | − | 1.09592i | ||||||
\(146\) | 8.90179 | + | 15.4184i | 0.736717 | + | 1.27603i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.730252 | − | 1.26483i | 0.0600264 | − | 0.103969i | ||||
\(149\) | −16.8063 | − | 9.70313i | −1.37683 | − | 0.794912i | −0.385051 | − | 0.922895i | \(-0.625816\pi\) |
−0.991776 | + | 0.127984i | \(0.959149\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 0.893968 | + | 1.54840i | 0.0727501 | + | 0.126007i | 0.900106 | − | 0.435672i | \(-0.143489\pi\) |
−0.827356 | + | 0.561678i | \(0.810156\pi\) | |||||||
\(152\) | 19.4881 | 1.58070 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.460505 | + | 0.182027i | −0.0371085 | + | 0.0146682i | ||||
\(155\) | −0.318097 | + | 0.183653i | −0.0255502 | + | 0.0147514i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 3.80255 | + | 2.19540i | 0.303477 | + | 0.175212i | 0.644004 | − | 0.765022i | \(-0.277272\pi\) |
−0.340527 | + | 0.940235i | \(0.610605\pi\) | |||||||
\(158\) | 4.44445 | + | 2.56601i | 0.353582 | + | 0.204140i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −7.94742 | + | 4.58845i | −0.628299 | + | 0.362749i | ||||
\(161\) | 0.531151 | + | 1.34374i | 0.0418606 | + | 0.105902i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 5.43560 | 0.425749 | 0.212874 | − | 0.977080i | \(-0.431717\pi\) | ||||
0.212874 | + | 0.977080i | \(0.431717\pi\) | |||||||
\(164\) | 1.18460 | + | 2.05179i | 0.0925018 | + | 0.160218i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 6.62616 | + | 3.82562i | 0.514290 | + | 0.296925i | ||||
\(167\) | 5.25273 | − | 9.09799i | 0.406468 | − | 0.704024i | −0.588023 | − | 0.808844i | \(-0.700093\pi\) |
0.994491 | + | 0.104821i | \(0.0334268\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.27335 | + | 2.20550i | 0.0979497 | + | 0.169654i | ||||
\(170\) | 13.9501i | 1.06992i | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −3.89903 | −0.297298 | ||||||||
\(173\) | −8.77949 | − | 15.2065i | −0.667492 | − | 1.15613i | −0.978603 | − | 0.205757i | \(-0.934034\pi\) |
0.311111 | − | 0.950374i | \(-0.399299\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1.18490 | + | 7.99300i | −0.0895699 | + | 0.604214i | ||||
\(176\) | −0.336285 | − | 0.194154i | −0.0253484 | − | 0.0146349i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 5.19035 | − | 2.99665i | 0.389033 | − | 0.224608i | ||||
\(179\) | 18.2033i | 1.36058i | 0.732945 | + | 0.680288i | \(0.238145\pi\) | ||||
−0.732945 | + | 0.680288i | \(0.761855\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 6.60182i | 0.490710i | 0.969433 | + | 0.245355i | \(0.0789045\pi\) | ||||
−0.969433 | + | 0.245355i | \(0.921096\pi\) | |||||||
\(182\) | −9.69121 | − | 7.69004i | −0.718360 | − | 0.570024i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −0.839883 | + | 1.45472i | −0.0619170 | + | 0.107243i | ||||
\(185\) | 3.49142 | − | 6.04732i | 0.256694 | − | 0.444608i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.566492 | − | 0.327065i | 0.0414260 | − | 0.0239173i | ||||
\(188\) | −5.14479 | −0.375223 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 21.3245 | 1.54704 | ||||||||
\(191\) | 12.3063 | − | 7.10506i | 0.890454 | − | 0.514104i | 0.0163630 | − | 0.999866i | \(-0.494791\pi\) |
0.874091 | + | 0.485762i | \(0.161458\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 5.00214 | − | 8.66395i | 0.360062 | − | 0.623645i | −0.627909 | − | 0.778287i | \(-0.716089\pi\) |
0.987971 | + | 0.154642i | \(0.0494223\pi\) | |||||||
\(194\) | 1.49573 | − | 2.59068i | 0.107387 | − | 0.186000i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −3.97636 | − | 1.20542i | −0.284026 | − | 0.0861013i | ||||
\(197\) | − | 20.1017i | − | 1.43218i | −0.698006 | − | 0.716092i | \(-0.745929\pi\) | ||
0.698006 | − | 0.716092i | \(-0.254071\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 12.9378i | 0.917136i | 0.888659 | + | 0.458568i | \(0.151637\pi\) | ||||
−0.888659 | + | 0.458568i | \(0.848363\pi\) | |||||||
\(200\) | −8.13521 | + | 4.69687i | −0.575246 | + | 0.332119i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 3.07236 | + | 1.77383i | 0.216170 | + | 0.124806i | ||||
\(203\) | 12.1698 | + | 1.80408i | 0.854154 | + | 0.126622i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 5.66372 | + | 9.80984i | 0.395571 | + | 0.685149i | ||||
\(206\) | 15.6502 | 1.09040 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | − | 9.70160i | − | 0.672685i | ||||||
\(209\) | −0.499960 | − | 0.865957i | −0.0345830 | − | 0.0598995i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −4.50720 | + | 7.80669i | −0.310288 | + | 0.537435i | −0.978425 | − | 0.206604i | \(-0.933759\pi\) |
0.668136 | + | 0.744039i | \(0.267092\pi\) | |||||||
\(212\) | −1.33775 | − | 0.772349i | −0.0918769 | − | 0.0530451i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −11.5957 | − | 20.0844i | −0.792667 | − | 1.37294i | ||||
\(215\) | −18.6417 | −1.27135 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −0.125877 | − | 0.318453i | −0.00854510 | − | 0.0216180i | ||||
\(218\) | −13.6067 | + | 7.85584i | −0.921562 | + | 0.532064i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0.230234 | + | 0.132926i | 0.0155224 | + | 0.00896185i | ||||
\(221\) | 14.1534 | + | 8.17147i | 0.952061 | + | 0.549672i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −1.95429 | + | 1.12831i | −0.130869 | + | 0.0755571i | −0.564005 | − | 0.825771i | \(-0.690740\pi\) |
0.433136 | + | 0.901328i | \(0.357407\pi\) | |||||||
\(224\) | −3.14495 | − | 7.95631i | −0.210131 | − | 0.531604i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −11.9502 | −0.794915 | ||||||||
\(227\) | 9.32085 | + | 16.1442i | 0.618647 | + | 1.07153i | 0.989733 | + | 0.142929i | \(0.0456522\pi\) |
−0.371086 | + | 0.928598i | \(0.621015\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −12.3891 | − | 7.15283i | −0.818692 | − | 0.472672i | 0.0312731 | − | 0.999511i | \(-0.490044\pi\) |
−0.849965 | + | 0.526839i | \(0.823377\pi\) | |||||||
\(230\) | −0.919025 | + | 1.59180i | −0.0605987 | + | 0.104960i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 7.15126 | + | 12.3863i | 0.469503 | + | 0.813204i | ||||
\(233\) | − | 17.0679i | − | 1.11815i | −0.829116 | − | 0.559077i | \(-0.811156\pi\) | ||
0.829116 | − | 0.559077i | \(-0.188844\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −24.5979 | −1.60459 | ||||||||
\(236\) | −1.07251 | − | 1.85765i | −0.0698148 | − | 0.120923i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −12.8646 | − | 1.90708i | −0.833890 | − | 0.123618i | ||||
\(239\) | −1.93560 | − | 1.11752i | −0.125203 | − | 0.0722863i | 0.436090 | − | 0.899903i | \(-0.356363\pi\) |
−0.561294 | + | 0.827617i | \(0.689696\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −3.91464 | + | 2.26012i | −0.252164 | + | 0.145587i | −0.620755 | − | 0.784005i | \(-0.713174\pi\) |
0.368591 | + | 0.929592i | \(0.379840\pi\) | |||||||
\(242\) | − | 13.0157i | − | 0.836678i | ||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | − | 1.99777i | − | 0.127894i | ||||||
\(245\) | −19.0114 | − | 5.76324i | −1.21460 | − | 0.368200i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 12.4911 | − | 21.6353i | 0.794793 | − | 1.37662i | ||||
\(248\) | 0.199044 | − | 0.344754i | 0.0126393 | − | 0.0218919i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 5.67179 | − | 3.27461i | 0.358716 | − | 0.207105i | ||||
\(251\) | 21.1727 | 1.33641 | 0.668205 | − | 0.743978i | \(-0.267063\pi\) | ||||
0.668205 | + | 0.743978i | \(0.267063\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.0861875 | 0.00541856 | ||||||||
\(254\) | 12.8274 | − | 7.40592i | 0.804865 | − | 0.464689i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 6.43346 | − | 11.1431i | 0.402091 | − | 0.696443i | ||||
\(257\) | −15.6502 | + | 27.1070i | −0.976236 | + | 1.69089i | −0.300440 | + | 0.953801i | \(0.597134\pi\) |
−0.675796 | + | 0.737089i | \(0.736200\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 5.09948 | + | 4.04647i | 0.316866 | + | 0.251435i | ||||
\(260\) | 6.64211i | 0.411926i | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 11.9126i | 0.735964i | ||||||||
\(263\) | 5.78220 | − | 3.33836i | 0.356546 | − | 0.205852i | −0.311019 | − | 0.950404i | \(-0.600670\pi\) |
0.667564 | + | 0.744552i | \(0.267337\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −6.39593 | − | 3.69269i | −0.392899 | − | 0.226840i | ||||
\(266\) | −2.91522 | + | 19.6653i | −0.178743 | + | 1.20575i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −0.393968 | − | 0.682372i | −0.0240654 | − | 0.0416825i | ||||
\(269\) | 10.6589 | 0.649887 | 0.324944 | − | 0.945733i | \(-0.394655\pi\) | ||||
0.324944 | + | 0.945733i | \(0.394655\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 7.44498i | − | 0.452250i | −0.974098 | − | 0.226125i | \(-0.927394\pi\) | ||
0.974098 | − | 0.226125i | \(-0.0726058\pi\) | |||||||
\(272\) | −5.09924 | − | 8.83214i | −0.309187 | − | 0.535527i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −4.76829 | + | 8.25891i | −0.288063 | + | 0.498939i | ||||
\(275\) | 0.417411 | + | 0.240992i | 0.0251708 | + | 0.0145324i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 13.2793 | + | 23.0004i | 0.797874 | + | 1.38196i | 0.920998 | + | 0.389568i | \(0.127376\pi\) |
−0.123124 | + | 0.992391i | \(0.539291\pi\) | |||||||
\(278\) | −22.4172 | −1.34450 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −8.48968 | − | 21.4778i | −0.507356 | − | 1.28354i | ||||
\(281\) | −21.0993 | + | 12.1817i | −1.25868 | + | 0.726699i | −0.972818 | − | 0.231572i | \(-0.925613\pi\) |
−0.285862 | + | 0.958271i | \(0.592280\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 7.49302 | + | 4.32610i | 0.445414 | + | 0.257160i | 0.705891 | − | 0.708320i | \(-0.250547\pi\) |
−0.260478 | + | 0.965480i | \(0.583880\pi\) | |||||||
\(284\) | −0.210408 | − | 0.121479i | −0.0124854 | − | 0.00720844i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −0.639086 | + | 0.368977i | −0.0377900 | + | 0.0218181i | ||||
\(287\) | −9.82082 | + | 3.88195i | −0.579704 | + | 0.229144i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 0.179961 | 0.0105860 | ||||||||
\(290\) | 7.82512 | + | 13.5535i | 0.459507 | + | 0.795890i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 7.71719 | + | 4.45552i | 0.451614 | + | 0.260740i | ||||
\(293\) | −4.40023 | + | 7.62143i | −0.257064 | + | 0.445249i | −0.965454 | − | 0.260573i | \(-0.916089\pi\) |
0.708390 | + | 0.705821i | \(0.249422\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −5.12782 | − | 8.88164i | −0.298553 | − | 0.517109i | ||||
\(296\) | 7.56800i | 0.439881i | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 23.0144 | 1.33319 | ||||||||
\(299\) | 1.07667 | + | 1.86484i | 0.0622652 | + | 0.107846i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 2.54846 | − | 17.1912i | 0.146891 | − | 0.990885i | ||||
\(302\) | −1.83628 | − | 1.06018i | −0.105666 | − | 0.0610065i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −13.5011 | + | 7.79485i | −0.774339 | + | 0.447065i | ||||
\(305\) | − | 9.55155i | − | 0.546920i | ||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 11.1747i | − | 0.637771i | −0.947793 | − | 0.318886i | \(-0.896691\pi\) | ||
0.947793 | − | 0.318886i | \(-0.103309\pi\) | |||||||
\(308\) | −0.154058 | + | 0.194148i | −0.00877825 | + | 0.0110626i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0.217799 | − | 0.377240i | 0.0123702 | − | 0.0214258i | ||||
\(311\) | −8.20279 | + | 14.2076i | −0.465137 | + | 0.805641i | −0.999208 | − | 0.0397985i | \(-0.987328\pi\) |
0.534070 | + | 0.845440i | \(0.320662\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −7.10514 | + | 4.10216i | −0.401606 | + | 0.231868i | −0.687177 | − | 0.726490i | \(-0.741150\pi\) |
0.285570 | + | 0.958358i | \(0.407817\pi\) | |||||||
\(314\) | −5.20717 | −0.293858 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2.56867 | 0.144499 | ||||||||
\(317\) | −19.8427 | + | 11.4562i | −1.11448 | + | 0.643443i | −0.939985 | − | 0.341215i | \(-0.889161\pi\) |
−0.174491 | + | 0.984659i | \(0.555828\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.366926 | − | 0.635534i | 0.0205439 | − | 0.0355831i | ||||
\(320\) | 12.4244 | − | 21.5197i | 0.694545 | − | 1.20299i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −1.34230 | − | 1.06513i | −0.0748037 | − | 0.0593572i | ||||
\(323\) | − | 26.2618i | − | 1.46125i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 12.0420i | 0.667972i | ||||||||
\(326\) | −5.58259 | + | 3.22311i | −0.309191 | + | 0.178512i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −10.6319 | − | 6.13833i | −0.587049 | − | 0.338933i | ||||
\(329\) | 3.36271 | − | 22.6839i | 0.185392 | − | 1.25060i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −9.63161 | − | 16.6824i | −0.529401 | − | 0.916950i | −0.999412 | − | 0.0342892i | \(-0.989083\pi\) |
0.470011 | − | 0.882661i | \(-0.344250\pi\) | |||||||
\(332\) | 3.82959 | 0.210176 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 12.4587i | 0.681709i | ||||||||
\(335\) | −1.88361 | − | 3.26250i | −0.102912 | − | 0.178249i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −2.26829 | + | 3.92878i | −0.123561 | + | 0.214015i | −0.921170 | − | 0.389161i | \(-0.872765\pi\) |
0.797608 | + | 0.603176i | \(0.206098\pi\) | |||||||
\(338\) | −2.61556 | − | 1.51009i | −0.142268 | − | 0.0821383i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 3.49115 | + | 6.04684i | 0.189334 | + | 0.327936i | ||||
\(341\) | −0.0204255 | −0.00110610 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 7.91381 | − | 16.7443i | 0.427306 | − | 0.904107i | ||||
\(344\) | 17.4971 | − | 10.1019i | 0.943379 | − | 0.544660i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 18.0338 | + | 10.4118i | 0.969504 | + | 0.559743i | ||||
\(347\) | −7.56294 | − | 4.36646i | −0.406000 | − | 0.234404i | 0.283070 | − | 0.959099i | \(-0.408647\pi\) |
−0.689070 | + | 0.724695i | \(0.741981\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 7.82927 | − | 4.52023i | 0.419091 | − | 0.241963i | −0.275597 | − | 0.961273i | \(-0.588876\pi\) |
0.694689 | + | 0.719311i | \(0.255542\pi\) | |||||||
\(350\) | −3.52261 | − | 8.91175i | −0.188292 | − | 0.476353i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −0.510317 | −0.0272000 | ||||||||
\(353\) | −0.607896 | − | 1.05291i | −0.0323550 | − | 0.0560406i | 0.849394 | − | 0.527758i | \(-0.176967\pi\) |
−0.881750 | + | 0.471718i | \(0.843634\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −1.00598 | − | 0.580805i | −0.0533920 | − | 0.0308259i | ||||
\(356\) | 1.49988 | − | 2.59787i | 0.0794936 | − | 0.137687i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −10.7939 | − | 18.6955i | −0.570473 | − | 0.988089i | ||||
\(359\) | 17.3069i | 0.913424i | 0.889615 | + | 0.456712i | \(0.150973\pi\) | ||||
−0.889615 | + | 0.456712i | \(0.849027\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −21.1445 | −1.11287 | ||||||||
\(362\) | −3.91464 | − | 6.78035i | −0.205749 | − | 0.356367i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −6.12529 | − | 0.908025i | −0.321052 | − | 0.0475934i | ||||
\(365\) | 36.8968 | + | 21.3024i | 1.93127 | + | 1.11502i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −24.4297 | + | 14.1045i | −1.27522 | + | 0.736250i | −0.975966 | − | 0.217923i | \(-0.930072\pi\) |
−0.299256 | + | 0.954173i | \(0.596738\pi\) | |||||||
\(368\) | − | 1.34374i | − | 0.0700474i | ||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 8.28114i | 0.430516i | ||||||||
\(371\) | 4.27973 | − | 5.39344i | 0.222193 | − | 0.280014i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −14.1264 | + | 24.4676i | −0.731435 | + | 1.26688i | 0.224835 | + | 0.974397i | \(0.427816\pi\) |
−0.956270 | + | 0.292486i | \(0.905518\pi\) | |||||||
\(374\) | −0.387874 | + | 0.671818i | −0.0200565 | + | 0.0347389i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 23.0875 | − | 13.3296i | 1.19065 | − | 0.687420i | ||||
\(377\) | 18.3347 | 0.944287 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 14.6447 | 0.752250 | 0.376125 | − | 0.926569i | \(-0.377256\pi\) | ||||
0.376125 | + | 0.926569i | \(0.377256\pi\) | |||||||
\(380\) | 9.24338 | − | 5.33667i | 0.474175 | − | 0.273765i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −8.42607 | + | 14.5944i | −0.431115 | + | 0.746714i | ||||
\(383\) | −12.3932 | + | 21.4657i | −0.633264 | + | 1.09684i | 0.353617 | + | 0.935390i | \(0.384952\pi\) |
−0.986880 | + | 0.161454i | \(0.948382\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.736567 | + | 0.928244i | −0.0375390 | + | 0.0473077i | ||||
\(386\) | 11.8643i | 0.603878i | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | − | 1.49729i | − | 0.0760131i | ||||||
\(389\) | −4.43706 | + | 2.56174i | −0.224968 | + | 0.129885i | −0.608248 | − | 0.793747i | \(-0.708128\pi\) |
0.383281 | + | 0.923632i | \(0.374794\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.96035 | + | 1.13181i | 0.0991391 | + | 0.0572380i | ||||
\(392\) | 20.9672 | − | 4.89293i | 1.05900 | − | 0.247130i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 11.9195 | + | 20.6453i | 0.600498 | + | 1.04009i | ||||
\(395\) | 12.2811 | 0.617930 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 1.92094i | 0.0964093i | 0.998837 | + | 0.0482046i | \(0.0153500\pi\) | ||||
−0.998837 | + | 0.0482046i | \(0.984650\pi\) | |||||||
\(398\) | −7.67163 | − | 13.2877i | −0.384544 | − | 0.666050i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 3.75729 | − | 6.50783i | 0.187865 | − | 0.325391i | ||||
\(401\) | 12.4612 | + | 7.19446i | 0.622282 | + | 0.359274i | 0.777757 | − | 0.628565i | \(-0.216358\pi\) |
−0.155475 | + | 0.987840i | \(0.549691\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.255158 | − | 0.441947i | −0.0127103 | − | 0.0220150i | ||||
\(404\) | 1.77567 | 0.0883429 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −13.5687 | + | 5.36339i | −0.673402 | + | 0.266181i | ||||
\(407\) | 0.336285 | − | 0.194154i | 0.0166690 | − | 0.00962386i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 8.42281 | + | 4.86291i | 0.416481 | + | 0.240455i | 0.693571 | − | 0.720389i | \(-0.256037\pi\) |
−0.277090 | + | 0.960844i | \(0.589370\pi\) | |||||||
\(410\) | −11.6337 | − | 6.71675i | −0.574550 | − | 0.331717i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 6.78380 | − | 3.91663i | 0.334214 | − | 0.192958i | ||||
\(413\) | 8.89158 | − | 3.51464i | 0.437526 | − | 0.172944i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 18.3097 | 0.898789 | ||||||||
\(416\) | −6.37495 | − | 11.0417i | −0.312558 | − | 0.541366i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 1.02696 | + | 0.592916i | 0.0502303 | + | 0.0290005i | ||||
\(419\) | 14.9512 | − | 25.8963i | 0.730416 | − | 1.26512i | −0.226289 | − | 0.974060i | \(-0.572660\pi\) |
0.956706 | − | 0.291058i | \(-0.0940072\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −12.5452 | − | 21.7290i | −0.611417 | − | 1.05901i | −0.991002 | − | 0.133848i | \(-0.957266\pi\) |
0.379585 | − | 0.925157i | \(-0.376067\pi\) | |||||||
\(422\) | − | 10.6904i | − | 0.520401i | ||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 8.00427 | 0.388722 | ||||||||
\(425\) | 6.32939 | + | 10.9628i | 0.307021 | + | 0.531775i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 8.80835 | + | 1.30577i | 0.426266 | + | 0.0631905i | ||||
\(428\) | −10.0526 | − | 5.80388i | −0.485912 | − | 0.280541i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 19.1458 | − | 11.0538i | 0.923293 | − | 0.533064i | ||||
\(431\) | 6.39061i | 0.307825i | 0.988084 | + | 0.153913i | \(0.0491874\pi\) | ||||
−0.988084 | + | 0.153913i | \(0.950813\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 33.1771i | 1.59439i | 0.603721 | + | 0.797196i | \(0.293684\pi\) | ||||
−0.603721 | + | 0.797196i | \(0.706316\pi\) | |||||||
\(434\) | 0.318112 | + | 0.252424i | 0.0152699 | + | 0.0121167i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −3.93200 | + | 6.81042i | −0.188309 | + | 0.326160i | ||||
\(437\) | 1.73012 | − | 2.99665i | 0.0827627 | − | 0.143349i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 7.32931 | − | 4.23158i | 0.349809 | − | 0.201962i | −0.314792 | − | 0.949161i | \(-0.601935\pi\) |
0.664601 | + | 0.747198i | \(0.268601\pi\) | |||||||
\(440\) | −1.37758 | −0.0656737 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −19.3815 | −0.921885 | ||||||||
\(443\) | −16.1082 | + | 9.30006i | −0.765322 | + | 0.441859i | −0.831203 | − | 0.555969i | \(-0.812348\pi\) |
0.0658812 | + | 0.997827i | \(0.479014\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 7.17111 | − | 12.4207i | 0.339943 | − | 0.588799i | ||||
\(446\) | 1.33809 | − | 2.31764i | 0.0633604 | − | 0.109743i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 18.1468 | + | 14.3996i | 0.857353 | + | 0.680316i | ||||
\(449\) | 20.3100i | 0.958489i | 0.877681 | + | 0.479245i | \(0.159089\pi\) | ||||
−0.877681 | + | 0.479245i | \(0.840911\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.629906i | 0.0296611i | ||||||||
\(452\) | −5.17996 | + | 2.99065i | −0.243645 | + | 0.140668i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −19.1458 | − | 11.0538i | −0.898558 | − | 0.518783i | ||||
\(455\) | −29.2857 | − | 4.34137i | −1.37294 | − | 0.203527i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −5.67830 | − | 9.83511i | −0.265620 | − | 0.460067i | 0.702106 | − | 0.712072i | \(-0.252243\pi\) |
−0.967726 | + | 0.252005i | \(0.918910\pi\) | |||||||
\(458\) | 16.9654 | 0.792743 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.919981i | 0.0428943i | ||||||||
\(461\) | 19.4984 | + | 33.7721i | 0.908129 | + | 1.57293i | 0.816661 | + | 0.577117i | \(0.195822\pi\) |
0.0914676 | + | 0.995808i | \(0.470844\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −5.03443 | + | 8.71990i | −0.233970 | + | 0.405248i | −0.958973 | − | 0.283498i | \(-0.908505\pi\) |
0.725003 | + | 0.688746i | \(0.241838\pi\) | |||||||
\(464\) | −9.90856 | − | 5.72071i | −0.459993 | − | 0.265577i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 10.1206 | + | 17.5294i | 0.468829 | + | 0.812035i | ||||
\(467\) | −3.59330 | −0.166278 | −0.0831389 | − | 0.996538i | \(-0.526495\pi\) | ||||
−0.0831389 | + | 0.996538i | \(0.526495\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 3.26615 | − | 1.29103i | 0.150817 | − | 0.0596145i | ||||
\(470\) | 25.2630 | − | 14.5856i | 1.16530 | − | 0.672784i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 9.62592 | + | 5.55753i | 0.443069 | + | 0.255806i | ||||
\(473\) | −0.897761 | − | 0.518322i | −0.0412791 | − | 0.0238325i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 16.7581 | − | 9.67530i | 0.768915 | − | 0.443933i | ||||
\(476\) | −6.05361 | + | 2.39285i | −0.277467 | + | 0.109676i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 2.65059 | 0.121235 | ||||||||
\(479\) | −0.811090 | − | 1.40485i | −0.0370597 | − | 0.0641892i | 0.846901 | − | 0.531751i | \(-0.178466\pi\) |
−0.883960 | + | 0.467562i | \(0.845132\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 8.40183 | + | 4.85080i | 0.383090 | + | 0.221177i | ||||
\(482\) | 2.68033 | − | 4.64247i | 0.122086 | − | 0.211459i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −3.25729 | − | 5.64180i | −0.148059 | − | 0.256445i | ||||
\(485\) | − | 7.15869i | − | 0.325060i | ||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 7.99573 | 0.362321 | 0.181161 | − | 0.983454i | \(-0.442015\pi\) | ||||
0.181161 | + | 0.983454i | \(0.442015\pi\) | |||||||
\(488\) | 5.17598 | + | 8.96507i | 0.234306 | + | 0.405829i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 22.9429 | − | 5.35399i | 1.03646 | − | 0.241869i | ||||
\(491\) | −9.30632 | − | 5.37300i | −0.419988 | − | 0.242480i | 0.275084 | − | 0.961420i | \(-0.411294\pi\) |
−0.695072 | + | 0.718940i | \(0.744628\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 16.6916 | − | 9.63688i | 0.751751 | − | 0.434023i | ||||
\(494\) | 29.6272i | 1.33299i | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0.318453i | 0.0142990i | ||||||||
\(497\) | 0.673138 | − | 0.848308i | 0.0301944 | − | 0.0380518i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −8.46050 | + | 14.6540i | −0.378744 | + | 0.656004i | −0.990880 | − | 0.134749i | \(-0.956977\pi\) |
0.612136 | + | 0.790753i | \(0.290311\pi\) | |||||||
\(500\) | 1.63901 | − | 2.83884i | 0.0732986 | − | 0.126957i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −21.7453 | + | 12.5546i | −0.970538 | + | 0.560341i | ||||
\(503\) | −33.9226 | −1.51253 | −0.756267 | − | 0.654263i | \(-0.772979\pi\) | ||||
−0.756267 | + | 0.654263i | \(0.772979\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 8.48968 | 0.377786 | ||||||||
\(506\) | −0.0885182 | + | 0.0511060i | −0.00393511 | + | 0.00227194i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 3.70681 | − | 6.42038i | 0.164463 | − | 0.284858i | ||||
\(509\) | 5.06805 | − | 8.77812i | 0.224637 | − | 0.389083i | −0.731573 | − | 0.681763i | \(-0.761214\pi\) |
0.956211 | + | 0.292680i | \(0.0945469\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −24.6889 | + | 31.1137i | −1.09217 | + | 1.37639i | ||||
\(512\) | 23.0923i | 1.02055i | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | − | 37.1201i | − | 1.63730i | ||||||
\(515\) | 32.4341 | − | 18.7259i | 1.42922 | − | 0.825160i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −1.18460 | − | 0.683930i | −0.0520987 | − | 0.0300792i | ||||
\(518\) | −7.63679 | − | 1.13209i | −0.335541 | − | 0.0497413i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −17.2089 | − | 29.8068i | −0.754662 | − | 1.30711i | ||||
\(521\) | −31.6986 | −1.38874 | −0.694370 | − | 0.719618i | \(-0.744317\pi\) | ||||
−0.694370 | + | 0.719618i | \(0.744317\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 8.09911i | 0.354149i | 0.984197 | + | 0.177075i | \(0.0566634\pi\) | ||||
−0.984197 | + | 0.177075i | \(0.943337\pi\) | |||||||
\(524\) | 2.98125 | + | 5.16367i | 0.130236 | + | 0.225576i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −3.95904 | + | 6.85726i | −0.172622 | + | 0.298991i | ||||
\(527\) | −0.464582 | − | 0.268227i | −0.0202375 | − | 0.0116841i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −11.3509 | − | 19.6603i | −0.493516 | − | 0.854795i | ||||
\(530\) | 8.75851 | 0.380446 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 3.65779 | + | 9.25372i | 0.158585 | + | 0.401200i | ||||
\(533\) | −13.6293 | + | 7.86887i | −0.590350 | + | 0.340839i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −48.0628 | − | 27.7490i | −2.07793 | − | 1.19970i | ||||
\(536\) | 3.53590 | + | 2.04145i | 0.152727 | + | 0.0881772i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −10.9472 | + | 6.32036i | −0.471967 | + | 0.272490i | ||||
\(539\) | −0.755323 | − | 0.806153i | −0.0325341 | − | 0.0347235i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 1.21634 | 0.0522944 | 0.0261472 | − | 0.999658i | \(-0.491676\pi\) | ||||
0.0261472 | + | 0.999658i | \(0.491676\pi\) | |||||||
\(542\) | 4.41460 | + | 7.64631i | 0.189623 | + | 0.328437i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −11.6073 | − | 6.70145i | −0.497657 | − | 0.287322i | ||||
\(545\) | −18.7994 | + | 32.5614i | −0.805276 | + | 1.39478i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 13.1278 | + | 22.7380i | 0.561305 | + | 0.972209i | 0.997383 | + | 0.0722999i | \(0.0230339\pi\) |
−0.436078 | + | 0.899909i | \(0.643633\pi\) | |||||||
\(548\) | 4.77324i | 0.203903i | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −0.571598 | −0.0243730 | ||||||||
\(551\) | −14.7312 | − | 25.5152i | −0.627571 | − | 1.08699i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −1.67892 | + | 11.3255i | −0.0713950 | + | 0.481611i | ||||
\(554\) | −27.2768 | − | 15.7482i | −1.15888 | − | 0.669079i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −9.71703 | + | 5.61013i | −0.412094 | + | 0.237923i | ||||
\(557\) | − | 27.2172i | − | 1.15323i | −0.817016 | − | 0.576615i | \(-0.804373\pi\) | ||
0.817016 | − | 0.576615i | \(-0.195627\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 25.8998i | − | 1.09545i | ||||||
\(560\) | 14.4722 | + | 11.4838i | 0.611561 | + | 0.485278i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 14.4466 | − | 25.0222i | 0.609393 | − | 1.05550i | ||||
\(563\) | 4.68017 | − | 8.10630i | 0.197246 | − | 0.341640i | −0.750389 | − | 0.660997i | \(-0.770134\pi\) |
0.947634 | + | 0.319357i | \(0.103467\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −24.7660 | + | 14.2987i | −1.04191 | + | 0.601549i | ||||
\(566\) | −10.2609 | −0.431296 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 1.25895 | 0.0528244 | ||||||||
\(569\) | 30.2424 | − | 17.4605i | 1.26783 | − | 0.731980i | 0.293251 | − | 0.956036i | \(-0.405263\pi\) |
0.974576 | + | 0.224055i | \(0.0719296\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 0.735987 | − | 1.27477i | 0.0308001 | − | 0.0533473i | −0.850214 | − | 0.526436i | \(-0.823528\pi\) |
0.881015 | + | 0.473089i | \(0.156861\pi\) | |||||||
\(572\) | −0.184680 | + | 0.319875i | −0.00772186 | + | 0.0133747i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 7.78454 | − | 9.81030i | 0.324920 | − | 0.409474i | ||||
\(575\) | 1.66791i | 0.0695567i | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | − | 18.6196i | − | 0.775146i | −0.921839 | − | 0.387573i | \(-0.873314\pi\) | ||
0.921839 | − | 0.387573i | \(-0.126686\pi\) | |||||||
\(578\) | −0.184828 | + | 0.106710i | −0.00768783 | + | 0.00443857i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 6.78380 | + | 3.91663i | 0.281682 | + | 0.162629i | ||||
\(581\) | −2.50307 | + | 16.8851i | −0.103845 | + | 0.700510i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −0.205346 | − | 0.355670i | −0.00850458 | − | 0.0147304i | ||||
\(584\) | −46.1750 | −1.91073 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | − | 10.4367i | − | 0.431136i | ||||||
\(587\) | −9.28551 | − | 16.0830i | −0.383254 | − | 0.663816i | 0.608271 | − | 0.793729i | \(-0.291863\pi\) |
−0.991525 | + | 0.129914i | \(0.958530\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −0.410019 | + | 0.710174i | −0.0168945 | + | 0.0292622i | ||||
\(590\) | 10.5330 | + | 6.08121i | 0.433636 | + | 0.250360i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −3.02704 | − | 5.24299i | −0.124411 | − | 0.215486i | ||||
\(593\) | 30.9228 | 1.26985 | 0.634924 | − | 0.772574i | \(-0.281031\pi\) | ||||
0.634924 | + | 0.772574i | \(0.281031\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −28.9430 | + | 11.4405i | −1.18655 | + | 0.469015i | ||||
\(596\) | 9.97588 | − | 5.75958i | 0.408628 | − | 0.235922i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −2.21156 | − | 1.27685i | −0.0904375 | − | 0.0522141i | ||||
\(599\) | −11.8741 | − | 6.85553i | −0.485164 | − | 0.280109i | 0.237402 | − | 0.971411i | \(-0.423704\pi\) |
−0.722566 | + | 0.691302i | \(0.757037\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −17.1065 | + | 9.87644i | −0.697788 | + | 0.402868i | −0.806523 | − | 0.591203i | \(-0.798653\pi\) |
0.108735 | + | 0.994071i | \(0.465320\pi\) | |||||||
\(602\) | 7.57638 | + | 19.1672i | 0.308790 | + | 0.781198i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −1.06128 | −0.0431829 | ||||||||
\(605\) | −15.5735 | − | 26.9741i | −0.633153 | − | 1.09665i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −15.5219 | − | 8.96157i | −0.630014 | − | 0.363739i | 0.150744 | − | 0.988573i | \(-0.451833\pi\) |
−0.780757 | + | 0.624834i | \(0.785167\pi\) | |||||||
\(608\) | −10.2440 | + | 17.7432i | −0.415450 | + | 0.719581i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 5.66372 | + | 9.80984i | 0.229317 | + | 0.397189i | ||||
\(611\) | − | 34.1750i | − | 1.38257i | ||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −41.4327 | −1.67345 | −0.836725 | − | 0.547623i | \(-0.815533\pi\) | ||||
−0.836725 | + | 0.547623i | \(0.815533\pi\) | |||||||
\(614\) | 6.62616 | + | 11.4768i | 0.267410 | + | 0.463168i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0.188326 | − | 1.27039i | 0.00758786 | − | 0.0511856i | ||||
\(617\) | −19.9686 | − | 11.5289i | −0.803904 | − | 0.464134i | 0.0409302 | − | 0.999162i | \(-0.486968\pi\) |
−0.844835 | + | 0.535028i | \(0.820301\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 1.67850 | − | 0.969082i | 0.0674646 | − | 0.0389507i | −0.465888 | − | 0.884844i | \(-0.654265\pi\) |
0.533353 | + | 0.845893i | \(0.320932\pi\) | |||||||
\(620\) | − | 0.218026i | − | 0.00875613i | ||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | − | 19.4558i | − | 0.780106i | ||||||
\(623\) | 10.4739 | + | 8.31113i | 0.419629 | + | 0.332978i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 15.4715 | − | 26.7974i | 0.618860 | − | 1.07190i | ||||
\(626\) | 4.86485 | − | 8.42617i | 0.194439 | − | 0.336778i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −2.25712 | + | 1.30315i | −0.0900687 | + | 0.0520012i | ||||
\(629\) | 10.1985 | 0.406640 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 23.5831 | 0.938827 | 0.469414 | − | 0.882978i | \(-0.344465\pi\) | ||||
0.469414 | + | 0.882978i | \(0.344465\pi\) | |||||||
\(632\) | −11.5270 | + | 6.65514i | −0.458521 | + | 0.264727i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 13.5862 | − | 23.5320i | 0.539576 | − | 0.934574i | ||||
\(635\) | 17.7227 | − | 30.6966i | 0.703303 | − | 1.21816i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 8.00715 | − | 26.4135i | 0.317255 | − | 1.04654i | ||||
\(638\) | 0.870293i | 0.0344552i | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 11.1151i | 0.439361i | ||||||||
\(641\) | −21.5093 | + | 12.4184i | −0.849568 | + | 0.490498i | −0.860505 | − | 0.509442i | \(-0.829852\pi\) |
0.0109373 | + | 0.999940i | \(0.496518\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 37.9247 | + | 21.8959i | 1.49561 | + | 0.863489i | 0.999987 | − | 0.00505169i | \(-0.00160801\pi\) |
0.495619 | + | 0.868540i | \(0.334941\pi\) | |||||||
\(644\) | −0.848397 | − | 0.125768i | −0.0334315 | − | 0.00495596i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 15.5723 | + | 26.9720i | 0.612683 | + | 1.06120i | ||||
\(647\) | −29.3713 | −1.15471 | −0.577353 | − | 0.816494i | \(-0.695914\pi\) | ||||
−0.577353 | + | 0.816494i | \(0.695914\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | − | 0.570305i | − | 0.0223864i | ||||||
\(650\) | −7.14048 | − | 12.3677i | −0.280073 | − | 0.485100i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −1.61323 | + | 2.79420i | −0.0631789 | + | 0.109429i | ||||
\(653\) | 28.0816 | + | 16.2129i | 1.09892 | + | 0.634461i | 0.935937 | − | 0.352168i | \(-0.114556\pi\) |
0.162981 | + | 0.986629i | \(0.447889\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 14.2537 | + | 24.6881i | 0.556938 | + | 0.964645i | ||||
\(656\) | 9.82082 | 0.383438 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 9.99707 | + | 25.2913i | 0.389727 | + | 0.985957i | ||||
\(659\) | 0.203016 | − | 0.117211i | 0.00790837 | − | 0.00456590i | −0.496041 | − | 0.868299i | \(-0.665213\pi\) |
0.503949 | + | 0.863733i | \(0.331880\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −3.05138 | − | 1.76171i | −0.118685 | − | 0.0685227i | 0.439482 | − | 0.898251i | \(-0.355162\pi\) |
−0.558167 | + | 0.829728i | \(0.688495\pi\) | |||||||
\(662\) | 19.7841 | + | 11.4224i | 0.768933 | + | 0.443943i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −17.1855 | + | 9.92204i | −0.666926 | + | 0.385050i | ||||
\(665\) | 17.4883 | + | 44.2431i | 0.678167 | + | 1.71567i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 2.53950 | 0.0983296 | ||||||||
\(668\) | 3.11791 | + | 5.40038i | 0.120636 | + | 0.208947i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 3.86908 | + | 2.23382i | 0.149476 | + | 0.0862999i | ||||
\(671\) | 0.265576 | − | 0.459990i | 0.0102524 | − | 0.0177577i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 9.16585 | + | 15.8757i | 0.353318 | + | 0.611964i | 0.986829 | − | 0.161770i | \(-0.0517202\pi\) |
−0.633511 | + | 0.773734i | \(0.718387\pi\) | |||||||
\(674\) | − | 5.38004i | − | 0.207231i | ||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −1.51166 | −0.0581409 | ||||||||
\(677\) | 16.9260 | + | 29.3166i | 0.650517 | + | 1.12673i | 0.982998 | + | 0.183619i | \(0.0587812\pi\) |
−0.332480 | + | 0.943110i | \(0.607885\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 6.60168 | + | 0.978646i | 0.253349 | + | 0.0375570i | ||||
\(680\) | −31.3334 | − | 18.0903i | −1.20158 | − | 0.693732i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0.0209779 | − | 0.0121116i | 0.000803285 | − | 0.000463777i | ||||
\(683\) | 28.0284i | 1.07248i | 0.844066 | + | 0.536239i | \(0.180156\pi\) | ||||
−0.844066 | + | 0.536239i | \(0.819844\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 22.8214i | 0.871962i | ||||||||
\(686\) | 1.80093 | + | 21.8897i | 0.0687599 | + | 0.835753i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −8.08113 | + | 13.9969i | −0.308090 | + | 0.533628i | ||||
\(689\) | 5.13043 | − | 8.88616i | 0.195454 | − | 0.338536i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 42.7393 | − | 24.6756i | 1.62588 | − | 0.938703i | 0.640577 | − | 0.767894i | \(-0.278695\pi\) |
0.985304 | − | 0.170809i | \(-0.0546381\pi\) | |||||||
\(692\) | 10.4226 | 0.396210 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 10.3566 | 0.393131 | ||||||||
\(695\) | −46.4583 | + | 26.8227i | −1.76226 | + | 1.01744i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −8.27188 | + | 14.3273i | −0.313320 | + | 0.542686i | ||||
\(698\) | −5.36066 | + | 9.28494i | −0.202904 | + | 0.351440i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −3.75717 | − | 2.98134i | −0.142008 | − | 0.112684i | ||||
\(701\) | − | 26.3889i | − | 0.996696i | −0.866977 | − | 0.498348i | \(-0.833940\pi\) | ||
0.866977 | − | 0.498348i | \(-0.166060\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 15.5897i | − | 0.587976i | ||||||
\(704\) | 1.19669 | − | 0.690907i | 0.0451018 | − | 0.0260396i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 1.24867 | + | 0.720920i | 0.0469943 | + | 0.0271322i | ||||
\(707\) | −1.16060 | + | 7.82911i | −0.0436489 | + | 0.294444i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 5.35661 | + | 9.27792i | 0.201172 | + | 0.348440i | 0.948906 | − | 0.315558i | \(-0.102192\pi\) |
−0.747735 | + | 0.663998i | \(0.768858\pi\) | |||||||
\(710\) | 1.37758 | 0.0516998 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 15.5441i | 0.582539i | ||||||||
\(713\) | −0.0353413 | − | 0.0612130i | −0.00132354 | − | 0.00229244i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.882977 | + | 1.52936i | −0.0330215 | + | 0.0571949i | ||||
\(716\) | −9.35748 | − | 5.40254i | −0.349705 | − | 0.201902i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −10.2624 | − | 17.7749i | −0.382988 | − | 0.663354i | ||||
\(719\) | 17.5794 | 0.655601 | 0.327801 | − | 0.944747i | \(-0.393693\pi\) | ||||
0.327801 | + | 0.944747i | \(0.393693\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 12.8348 | + | 32.4704i | 0.477994 | + | 1.20926i | ||||
\(722\) | 21.7163 | − | 12.5379i | 0.808198 | − | 0.466614i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −3.39370 | − | 1.95935i | −0.126126 | − | 0.0728188i | ||||
\(725\) | 12.2989 | + | 7.10079i | 0.456771 | + | 0.263717i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 43.4695 | − | 25.0971i | 1.61220 | − | 0.930802i | 0.623336 | − | 0.781954i | \(-0.285777\pi\) |
0.988860 | − | 0.148847i | \(-0.0475563\pi\) | |||||||
\(728\) | 29.8401 | − | 11.7951i | 1.10595 | − | 0.437156i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −50.5261 | −1.87005 | ||||||||
\(731\) | −13.6132 | − | 23.5787i | −0.503501 | − | 0.872089i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 34.5617 | + | 19.9542i | 1.27656 | + | 0.737025i | 0.976215 | − | 0.216804i | \(-0.0695633\pi\) |
0.300350 | + | 0.953829i | \(0.402897\pi\) | |||||||
\(734\) | 16.7269 | − | 28.9719i | 0.617402 | − | 1.06937i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.882977 | − | 1.52936i | −0.0325470 | − | 0.0563730i | ||||
\(737\) | − | 0.209490i | − | 0.00771668i | ||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 30.3432 | 1.11619 | 0.558096 | − | 0.829777i | \(-0.311532\pi\) | ||||
0.558096 | + | 0.829777i | \(0.311532\pi\) | |||||||
\(740\) | 2.07244 | + | 3.58956i | 0.0761843 | + | 0.131955i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −1.19735 | + | 8.07702i | −0.0439562 | + | 0.296517i | ||||
\(743\) | 39.5861 | + | 22.8550i | 1.45227 | + | 0.838470i | 0.998610 | − | 0.0527041i | \(-0.0167840\pi\) |
0.453662 | + | 0.891174i | \(0.350117\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 47.6959 | − | 27.5372i | 1.74744 | − | 1.00889i | ||||
\(746\) | − | 33.5056i | − | 1.22673i | ||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0.388278i | 0.0141968i | ||||||||
\(749\) | 32.1604 | − | 40.5295i | 1.17512 | − | 1.48092i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −6.07753 | + | 10.5266i | −0.221772 | + | 0.384121i | −0.955346 | − | 0.295489i | \(-0.904517\pi\) |
0.733574 | + | 0.679610i | \(0.237851\pi\) | |||||||
\(752\) | −10.6631 | + | 18.4690i | −0.388843 | + | 0.673496i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −18.8305 | + | 10.8718i | −0.685768 | + | 0.395928i | ||||
\(755\) | −5.07411 | −0.184666 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −9.71614 | −0.353139 | −0.176570 | − | 0.984288i | \(-0.556500\pi\) | ||||
−0.176570 | + | 0.984288i | \(0.556500\pi\) | |||||||
\(758\) | −15.0408 | + | 8.68379i | −0.546305 | + | 0.315409i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −27.6534 | + | 47.8971i | −1.00309 | + | 1.73741i | ||||
\(761\) | 19.4175 | − | 33.6320i | 0.703882 | − | 1.21916i | −0.263211 | − | 0.964738i | \(-0.584782\pi\) |
0.967093 | − | 0.254422i | \(-0.0818851\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −27.4578 | − | 21.7880i | −0.994040 | − | 0.788777i | ||||
\(764\) | 8.43483i | 0.305161i | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | − | 29.3949i | − | 1.06208i | ||||||
\(767\) | 12.3397 | − | 7.12432i | 0.445560 | − | 0.257244i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −9.42879 | − | 5.44371i | −0.340011 | − | 0.196305i | 0.320266 | − | 0.947328i | \(-0.396228\pi\) |
−0.660277 | + | 0.751022i | \(0.729561\pi\) | |||||||
\(770\) | 0.206072 | − | 1.39010i | 0.00742630 | − | 0.0500958i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 2.96916 | + | 5.14274i | 0.106863 | + | 0.185091i | ||||
\(773\) | 37.3337 | 1.34280 | 0.671400 | − | 0.741096i | \(-0.265693\pi\) | ||||
0.671400 | + | 0.741096i | \(0.265693\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | − | 0.395277i | − | 0.0141988i | ||||||
\(776\) | 3.87930 | + | 6.71914i | 0.139259 | + | 0.241203i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 3.03803 | − | 5.26203i | 0.108919 | − | 0.188653i | ||||
\(779\) | 21.9012 | + | 12.6446i | 0.784691 | + | 0.453041i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −0.0322979 | − | 0.0559416i | −0.00115571 | − | 0.00200175i | ||||
\(782\) | −2.68448 | −0.0959969 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −12.5687 | + | 11.7762i | −0.448881 | + | 0.420578i | ||||
\(785\) | −10.7915 | + | 6.23049i | −0.385166 | + | 0.222376i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −15.4554 | − | 8.92315i | −0.550924 | − | 0.318076i | 0.198571 | − | 0.980087i | \(-0.436370\pi\) |
−0.749495 | + | 0.662011i | \(0.769703\pi\) | |||||||
\(788\) | 10.3334 | + | 5.96597i | 0.368111 | + | 0.212529i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −12.6132 | + | 7.28225i | −0.448759 | + | 0.259091i | ||||
\(791\) | −9.80039 | − | 24.7937i | −0.348462 | − | 0.881562i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 13.2704 | 0.471246 | ||||||||
\(794\) | −1.13905 | − | 1.97289i | −0.0404233 | − | 0.0700151i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −6.65074 | − | 3.83980i | −0.235729 | − | 0.136098i | ||||
\(797\) | −5.74854 | + | 9.95676i | −0.203624 | + | 0.352687i | −0.949693 | − | 0.313181i | \(-0.898605\pi\) |
0.746070 | + | 0.665868i | \(0.231939\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −17.9626 | − | 31.1122i | −0.635473 | − | 1.10067i | ||||
\(800\) | − | 9.87572i | − | 0.349159i | ||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −17.0642 | −0.602558 | ||||||||
\(803\) | 1.18460 | + | 2.05179i | 0.0418037 | + | 0.0724061i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −4.05629 | − | 0.601312i | −0.142965 | − | 0.0211935i | ||||
\(806\) | 0.524117 | + | 0.302599i | 0.0184612 | + | 0.0106586i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −7.96840 | + | 4.60056i | −0.280327 | + | 0.161847i | ||||
\(809\) | 13.1945i | 0.463893i | 0.972729 | + | 0.231946i | \(0.0745094\pi\) | ||||
−0.972729 | + | 0.231946i | \(0.925491\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 46.5800i | − | 1.63565i | −0.575469 | − | 0.817823i | \(-0.695181\pi\) | ||
0.575469 | − | 0.817823i | \(-0.304819\pi\) | |||||||
\(812\) | −4.53927 | + | 5.72052i | −0.159297 | + | 0.200751i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −0.230252 | + | 0.398809i | −0.00807034 | + | 0.0139782i | ||||
\(815\) | −7.71304 | + | 13.3594i | −0.270176 | + | 0.467958i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −36.0431 | + | 20.8095i | −1.26099 | + | 0.728031i | ||||
\(818\) | −11.5341 | −0.403280 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −6.72373 | −0.234803 | ||||||||
\(821\) | −34.3623 | + | 19.8391i | −1.19925 | + | 0.692390i | −0.960389 | − | 0.278663i | \(-0.910109\pi\) |
−0.238865 | + | 0.971053i | \(0.576775\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 19.6156 | − | 33.9751i | 0.683755 | − | 1.18430i | −0.290071 | − | 0.957005i | \(-0.593679\pi\) |
0.973826 | − | 0.227294i | \(-0.0729878\pi\) | |||||||
\(824\) | −20.2951 | + | 35.1521i | −0.707013 | + | 1.22458i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −7.04797 | + | 8.88206i | −0.245230 | + | 0.309046i | ||||
\(827\) | 21.0827i | 0.733118i | 0.930395 | + | 0.366559i | \(0.119464\pi\) | ||||
−0.930395 | + | 0.366559i | \(0.880536\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 13.3261i | 0.462834i | 0.972855 | + | 0.231417i | \(0.0743361\pi\) | ||||
−0.972855 | + | 0.231417i | \(0.925664\pi\) | |||||||
\(830\) | −18.8049 | + | 10.8570i | −0.652726 | + | 0.376852i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 29.8983 | + | 17.2618i | 1.03654 | + | 0.598446i | ||||
\(833\) | −6.59361 | − | 28.2550i | −0.228455 | − | 0.978976i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 14.9071 | + | 25.8198i | 0.515881 | + | 0.893533i | ||||
\(836\) | 0.593532 | 0.0205277 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 35.4621i | 1.22502i | ||||||||
\(839\) | −8.39768 | − | 14.5452i | −0.289920 | − | 0.502156i | 0.683870 | − | 0.729604i | \(-0.260295\pi\) |
−0.973790 | + | 0.227447i | \(0.926962\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −3.68862 | + | 6.38888i | −0.127194 | + | 0.220306i | ||||
\(842\) | 25.7690 | + | 14.8777i | 0.888057 | + | 0.512720i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −2.67538 | − | 4.63389i | −0.0920903 | − | 0.159505i | ||||
\(845\) | −7.22744 | −0.248632 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 27.0043 | − | 10.6742i | 0.927878 | − | 0.366769i | ||||
\(848\) | −5.54523 | + | 3.20154i | −0.190424 | + | 0.109941i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −13.0011 | − | 7.50619i | −0.445934 | − | 0.257460i | ||||
\(851\) | 1.16372 | + | 0.671871i | 0.0398916 | + | 0.0230315i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −35.5011 | + | 20.4966i | −1.21554 | + | 0.701790i | −0.963960 | − | 0.266048i | \(-0.914282\pi\) |
−0.251576 | + | 0.967838i | \(0.580949\pi\) | |||||||
\(854\) | −9.82082 | + | 3.88195i | −0.336061 | + | 0.132837i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 60.1488 | 2.05584 | ||||||||
\(857\) | −20.8718 | − | 36.1510i | −0.712967 | − | 1.23489i | −0.963739 | − | 0.266848i | \(-0.914018\pi\) |
0.250772 | − | 0.968046i | \(-0.419316\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 24.0479 | + | 13.8841i | 0.820505 | + | 0.473719i | 0.850590 | − | 0.525829i | \(-0.176245\pi\) |
−0.0300858 | + | 0.999547i | \(0.509578\pi\) | |||||||
\(860\) | 5.53267 | − | 9.58286i | 0.188662 | − | 0.326773i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −3.78940 | − | 6.56343i | −0.129067 | − | 0.223551i | ||||
\(863\) | − | 45.6090i | − | 1.55255i | −0.630396 | − | 0.776274i | \(-0.717107\pi\) | ||
0.630396 | − | 0.776274i | \(-0.282893\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 49.8319 | 1.69434 | ||||||||
\(866\) | −19.6728 | − | 34.0743i | −0.668510 | − | 1.15789i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0.201061 | + | 0.0298057i | 0.00682447 | + | 0.00101167i | ||||
\(869\) | 0.591443 | + | 0.341470i | 0.0200633 | + | 0.0115836i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 4.53275 | − | 2.61698i | 0.153586 | − | 0.0886731i | ||||
\(872\) | − | 40.7495i | − | 1.37995i | ||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 4.10358i | 0.138806i | ||||||||
\(875\) | 11.4455 | + | 9.08206i | 0.386927 | + | 0.307030i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −8.84368 | + | 15.3177i | −0.298630 | + | 0.517242i | −0.975823 | − | 0.218564i | \(-0.929863\pi\) |
0.677193 | + | 0.735805i | \(0.263196\pi\) | |||||||
\(878\) | −5.01834 | + | 8.69203i | −0.169361 | + | 0.293342i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0.954367 | − | 0.551004i | 0.0321717 | − | 0.0185743i | ||||
\(881\) | 11.6169 | 0.391384 | 0.195692 | − | 0.980665i | \(-0.437305\pi\) | ||||
0.195692 | + | 0.980665i | \(0.437305\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −35.5480 | −1.19629 | −0.598143 | − | 0.801389i | \(-0.704095\pi\) | ||||
−0.598143 | + | 0.801389i | \(0.704095\pi\) | |||||||
\(884\) | −8.40116 | + | 4.85041i | −0.282562 | + | 0.163137i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 11.0292 | − | 19.1031i | 0.370532 | − | 0.641781i | ||||
\(887\) | −12.2751 | + | 21.2610i | −0.412156 | + | 0.713876i | −0.995125 | − | 0.0986188i | \(-0.968558\pi\) |
0.582969 | + | 0.812494i | \(0.301891\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 25.8853 | + | 20.5401i | 0.868165 | + | 0.688894i | ||||
\(890\) | 17.0088i | 0.570136i | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | − | 1.33948i | − | 0.0448492i | ||||||
\(893\) | −47.5590 | + | 27.4582i | −1.59150 | + | 0.918854i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −44.7392 | − | 25.8302i | −1.49547 | − | 0.863408i | ||||
\(896\) | −10.2502 | − | 1.51951i | −0.342435 | − | 0.0507633i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −12.0431 | − | 20.8593i | −0.401883 | − | 0.696082i | ||||
\(899\) | −0.601834 | −0.0200723 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 10.7864i | − | 0.359346i | ||||||
\(902\) | −0.373511 | − | 0.646940i | −0.0124366 | − | 0.0215407i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 15.4969 | − | 26.8414i | 0.515419 | − | 0.892731i | ||||
\(905\) | −16.2257 | − | 9.36790i | −0.539360 | − | 0.311399i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −18.4502 | − | 31.9567i | −0.612628 | − | 1.06110i | −0.990796 | − | 0.135366i | \(-0.956779\pi\) |
0.378167 | − | 0.925737i | \(-0.376554\pi\) | |||||||
\(908\) | −11.0653 | −0.367216 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 32.6519 | − | 12.9066i | 1.08240 | − | 0.427849i | ||||
\(911\) | 34.4774 | − | 19.9056i | 1.14229 | − | 0.659500i | 0.195292 | − | 0.980745i | \(-0.437435\pi\) |
0.946996 | + | 0.321245i | \(0.104101\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 0.881773 | + | 0.509092i | 0.0291824 | + | 0.0168485i | ||||
\(914\) | 11.6637 | + | 6.73405i | 0.385801 | + | 0.222743i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 7.35389 | − | 4.24577i | 0.242979 | − | 0.140284i | ||||
\(917\) | −24.7157 | + | 9.76957i | −0.816186 | + | 0.322620i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −56.8725 | −1.87605 | −0.938026 | − | 0.346565i | \(-0.887348\pi\) | ||||
−0.938026 | + | 0.346565i | \(0.887348\pi\) | |||||||
\(920\) | −2.38357 | − | 4.12846i | −0.0785838 | − | 0.136111i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −40.0513 | − | 23.1236i | −1.31902 | − | 0.761535i | ||||
\(923\) | 0.806939 | − | 1.39766i | 0.0265607 | − | 0.0460045i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 3.75729 | + | 6.50783i | 0.123539 | + | 0.213976i | ||||
\(926\) | − | 11.9409i | − | 0.392403i | ||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −15.0364 | −0.493593 | ||||||||
\(929\) | 22.8885 | + | 39.6440i | 0.750946 | + | 1.30068i | 0.947365 | + | 0.320156i | \(0.103735\pi\) |
−0.196419 | + | 0.980520i | \(0.562931\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −43.1913 | + | 10.0792i | −1.41554 | + | 0.330332i | ||||
\(932\) | 8.77383 | + | 5.06557i | 0.287396 | + | 0.165928i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 3.69047 | − | 2.13069i | 0.120756 | − | 0.0697183i | ||||
\(935\) | 1.85640i | 0.0607108i | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 24.0003i | − | 0.784054i | −0.919954 | − | 0.392027i | \(-0.871774\pi\) | ||
0.919954 | − | 0.392027i | \(-0.128226\pi\) | |||||||
\(938\) | −2.58894 | + | 3.26265i | −0.0845318 | + | 0.106529i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 7.30039 | − | 12.6446i | 0.238112 | − | 0.412423i | ||||
\(941\) | −1.64316 | + | 2.84603i | −0.0535654 | + | 0.0927780i | −0.891565 | − | 0.452893i | \(-0.850392\pi\) |
0.837999 | + | 0.545671i | \(0.183725\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −1.88776 | + | 1.08990i | −0.0614738 | + | 0.0354919i | ||||
\(944\) | −8.89158 | −0.289396 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 1.22938 | 0.0399707 | ||||||||
\(947\) | 25.9420 | − | 14.9776i | 0.843002 | − | 0.486707i | −0.0152815 | − | 0.999883i | \(-0.504864\pi\) |
0.858284 | + | 0.513176i | \(0.171531\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −29.5964 | + | 51.2624i | −0.960739 | + | 1.66405i | ||||
\(950\) | −11.4742 | + | 19.8739i | −0.372272 | + | 0.644794i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 20.9662 | − | 26.4222i | 0.679519 | − | 0.856350i | ||||
\(953\) | − | 16.0580i | − | 0.520169i | −0.965586 | − | 0.260084i | \(-0.916250\pi\) | ||
0.965586 | − | 0.260084i | \(-0.0837504\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 40.3279i | 1.30498i | ||||||||
\(956\) | 1.14893 | − | 0.663336i | 0.0371591 | − | 0.0214538i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 1.66605 | + | 0.961893i | 0.0538275 | + | 0.0310773i | ||||
\(959\) | −21.0457 | − | 3.11986i | −0.679601 | − | 0.100745i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −15.4916 | − | 26.8323i | −0.499730 | − | 0.865557i | ||||
\(962\) | −11.5054 | −0.370948 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | − | 2.68312i | − | 0.0864174i | ||||||
\(965\) | 14.1959 | + | 24.5881i | 0.456983 | + | 0.791518i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 25.0275 | − | 43.3489i | 0.804831 | − | 1.39401i | −0.111574 | − | 0.993756i | \(-0.535589\pi\) |
0.916405 | − | 0.400252i | \(-0.131077\pi\) | |||||||
\(968\) | 29.2345 | + | 16.8786i | 0.939633 | + | 0.542497i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 4.24484 | + | 7.35228i | 0.136294 | + | 0.236068i | ||||
\(971\) | 1.04188 | 0.0334354 | 0.0167177 | − | 0.999860i | \(-0.494678\pi\) | ||||
0.0167177 | + | 0.999860i | \(0.494678\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −18.3844 | − | 46.5102i | −0.589378 | − | 1.49105i | ||||
\(974\) | −8.21195 | + | 4.74117i | −0.263128 | + | 0.151917i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −7.17167 | − | 4.14057i | −0.229560 | − | 0.132536i | ||||
\(977\) | −21.1765 | − | 12.2262i | −0.677495 | − | 0.391152i | 0.121416 | − | 0.992602i | \(-0.461257\pi\) |
−0.798910 | + | 0.601450i | \(0.794590\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 0.690703 | − | 0.398777i | 0.0220750 | − | 0.0127450i | ||||
\(980\) | 8.60502 | − | 8.06246i | 0.274877 | − | 0.257546i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 12.7440 | 0.406677 | ||||||||
\(983\) | 28.0788 | + | 48.6339i | 0.895575 | + | 1.55118i | 0.833092 | + | 0.553135i | \(0.186569\pi\) |
0.0624829 | + | 0.998046i | \(0.480098\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 49.4050 | + | 28.5240i | 1.57417 | + | 0.908850i | ||||
\(986\) | −11.4286 | + | 19.7950i | −0.363962 | + | 0.630400i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 7.41449 | + | 12.8423i | 0.235886 | + | 0.408567i | ||||
\(989\) | − | 3.58731i | − | 0.114070i | ||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 18.2278 | 0.579025 | 0.289513 | − | 0.957174i | \(-0.406507\pi\) | ||||
0.289513 | + | 0.957174i | \(0.406507\pi\) | |||||||
\(992\) | 0.209256 | + | 0.362443i | 0.00664390 | + | 0.0115076i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −0.188326 | + | 1.27039i | −0.00597333 | + | 0.0402944i | ||||
\(995\) | −31.7979 | − | 18.3586i | −1.00806 | − | 0.582005i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −29.8197 | + | 17.2164i | −0.944399 | + | 0.545249i | −0.891337 | − | 0.453342i | \(-0.850232\pi\) |
−0.0530623 | + | 0.998591i | \(0.516898\pi\) | |||||||
\(998\) | − | 20.0671i | − | 0.635212i | ||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))