Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [63,2,Mod(20,63)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(63, 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("63.20");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 63 = 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 63.o (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.503057532734\) |
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: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 20.5 | ||
Root | \(-1.82904 - 1.05600i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 63.20 |
Dual form | 63.2.o.a.41.5 |
$q$-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 \(\left(\mathbb{Z}/63\mathbb{Z}\right)^\times\).
\(n\) | \(10\) | \(29\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.02704 | + | 0.592963i | 0.726228 | + | 0.419288i | 0.817041 | − | 0.576580i | \(-0.195613\pi\) |
−0.0908124 | + | 0.995868i | \(0.528946\pi\) | |||||||
\(3\) | −0.410052 | − | 1.68281i | −0.236743 | − | 0.971572i | ||||
\(4\) | −0.296790 | − | 0.514055i | −0.148395 | − | 0.257027i | ||||
\(5\) | 1.41899 | + | 2.45776i | 0.634590 | + | 1.09914i | 0.986602 | + | 0.163146i | \(0.0521643\pi\) |
−0.352012 | + | 0.935995i | \(0.614502\pi\) | |||||||
\(6\) | 0.576705 | − | 1.97146i | 0.235439 | − | 0.804847i | ||||
\(7\) | −2.07253 | + | 1.64457i | −0.783344 | + | 0.621589i | ||||
\(8\) | − | 3.07579i | − | 1.08746i | ||||||
\(9\) | −2.66372 | + | 1.38008i | −0.887905 | + | 0.460027i | ||||
\(10\) | 3.36562i | 1.06430i | ||||||||
\(11\) | 0.136673 | + | 0.0789082i | 0.0412085 | + | 0.0237917i | 0.520463 | − | 0.853884i | \(-0.325759\pi\) |
−0.479254 | + | 0.877676i | \(0.659093\pi\) | |||||||
\(12\) | −0.743359 | + | 0.710230i | −0.214589 | + | 0.205026i | ||||
\(13\) | −3.41468 | + | 1.97146i | −0.947061 | + | 0.546786i | −0.892167 | − | 0.451706i | \(-0.850816\pi\) |
−0.0548943 | + | 0.998492i | \(0.517482\pi\) | |||||||
\(14\) | −3.10375 | + | 0.460106i | −0.829511 | + | 0.122968i | ||||
\(15\) | 3.55408 | − | 3.39569i | 0.917661 | − | 0.876764i | ||||
\(16\) | 1.23025 | − | 2.13086i | 0.307563 | − | 0.532715i | ||||
\(17\) | 4.14487 | 1.00528 | 0.502640 | − | 0.864496i | \(-0.332362\pi\) | ||||
0.502640 | + | 0.864496i | \(0.332362\pi\) | |||||||
\(18\) | −3.55408 | − | 0.162084i | −0.837706 | − | 0.0382036i | ||||
\(19\) | − | 6.33597i | − | 1.45357i | −0.686864 | − | 0.726786i | \(-0.741013\pi\) | ||
0.686864 | − | 0.726786i | \(-0.258987\pi\) | |||||||
\(20\) | 0.842281 | − | 1.45887i | 0.188340 | − | 0.326214i | ||||
\(21\) | 3.61735 | + | 2.81333i | 0.789370 | + | 0.613918i | ||||
\(22\) | 0.0935793 | + | 0.162084i | 0.0199512 | + | 0.0345565i | ||||
\(23\) | 0.472958 | − | 0.273062i | 0.0986185 | − | 0.0569374i | −0.449880 | − | 0.893089i | \(-0.648533\pi\) |
0.548498 | + | 0.836152i | \(0.315200\pi\) | |||||||
\(24\) | −5.17598 | + | 1.26123i | −1.05654 | + | 0.257448i | ||||
\(25\) | −1.52704 | + | 2.64491i | −0.305408 | + | 0.528983i | ||||
\(26\) | −4.67602 | −0.917044 | ||||||||
\(27\) | 3.41468 | + | 3.91663i | 0.657155 | + | 0.753756i | ||||
\(28\) | 1.46050 | + | 0.577305i | 0.276009 | + | 0.109100i | ||||
\(29\) | 4.02704 | + | 2.32501i | 0.747803 | + | 0.431744i | 0.824900 | − | 0.565279i | \(-0.191232\pi\) |
−0.0770966 | + | 0.997024i | \(0.524565\pi\) | |||||||
\(30\) | 5.66372 | − | 1.38008i | 1.03405 | − | 0.251967i | ||||
\(31\) | 0.112086 | − | 0.0647129i | 0.0201313 | − | 0.0116228i | −0.489901 | − | 0.871778i | \(-0.662967\pi\) |
0.510032 | + | 0.860156i | \(0.329634\pi\) | |||||||
\(32\) | −2.80039 | + | 1.61680i | −0.495043 | + | 0.285813i | ||||
\(33\) | 0.0767447 | − | 0.262352i | 0.0133595 | − | 0.0456696i | ||||
\(34\) | 4.25696 | + | 2.45776i | 0.730062 | + | 0.421502i | ||||
\(35\) | −6.98284 | − | 2.76016i | −1.18032 | − | 0.466552i | ||||
\(36\) | 1.50000 | + | 0.959702i | 0.250000 | + | 0.159950i | ||||
\(37\) | −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 | ||||
\(39\) | 4.71780 | + | 4.93786i | 0.755453 | + | 0.790690i | ||||
\(40\) | 7.55955 | − | 4.36451i | 1.19527 | − | 0.690089i | ||||
\(41\) | −1.99569 | − | 3.45664i | −0.311675 | − | 0.539836i | 0.667050 | − | 0.745013i | \(-0.267557\pi\) |
−0.978725 | + | 0.205176i | \(0.934223\pi\) | |||||||
\(42\) | 2.04697 | + | 5.03436i | 0.315854 | + | 0.776818i | ||||
\(43\) | 3.28434 | − | 5.68864i | 0.500857 | − | 0.867509i | −0.499143 | − | 0.866520i | \(-0.666352\pi\) |
1.00000 | 0.000989450i | \(-0.000314952\pi\) | ||||||||
\(44\) | − | 0.0936766i | − | 0.0141223i | ||||||
\(45\) | −7.17167 | − | 4.58845i | −1.06909 | − | 0.684005i | ||||
\(46\) | 0.647664 | 0.0954928 | ||||||||
\(47\) | −4.33370 | + | 7.50619i | −0.632135 | + | 1.09489i | 0.354979 | + | 0.934874i | \(0.384488\pi\) |
−0.987114 | + | 0.160016i | \(0.948845\pi\) | |||||||
\(48\) | −4.09030 | − | 1.19652i | −0.590385 | − | 0.172703i | ||||
\(49\) | 1.59079 | − | 6.81685i | 0.227255 | − | 0.973835i | ||||
\(50\) | −3.13667 | + | 1.81096i | −0.443593 | + | 0.256108i | ||||
\(51\) | −1.69961 | − | 6.97504i | −0.237993 | − | 0.976701i | ||||
\(52\) | 2.02688 | + | 1.17022i | 0.281078 | + | 0.162280i | ||||
\(53\) | 2.60234i | 0.357459i | 0.983898 | + | 0.178730i | \(0.0571988\pi\) | ||||
−0.983898 | + | 0.178730i | \(0.942801\pi\) | |||||||
\(54\) | 1.18460 | + | 6.04732i | 0.161204 | + | 0.822936i | ||||
\(55\) | 0.447879i | 0.0603920i | ||||||||
\(56\) | 5.05835 | + | 6.37468i | 0.675951 | + | 0.851853i | ||||
\(57\) | −10.6623 | + | 2.59808i | −1.41225 | + | 0.344124i | ||||
\(58\) | 2.75729 | + | 4.77577i | 0.362051 | + | 0.627090i | ||||
\(59\) | 1.80686 | + | 3.12957i | 0.235233 | + | 0.407436i | 0.959340 | − | 0.282252i | \(-0.0910813\pi\) |
−0.724107 | + | 0.689687i | \(0.757748\pi\) | |||||||
\(60\) | −2.80039 | − | 0.819187i | −0.361529 | − | 0.105757i | ||||
\(61\) | −2.91472 | − | 1.68281i | −0.373191 | − | 0.215462i | 0.301660 | − | 0.953415i | \(-0.402459\pi\) |
−0.674852 | + | 0.737953i | \(0.735792\pi\) | |||||||
\(62\) | 0.153489 | 0.0194932 | ||||||||
\(63\) | 3.25100 | − | 7.24092i | 0.409588 | − | 0.912271i | ||||
\(64\) | −8.75583 | −1.09448 | ||||||||
\(65\) | −9.69076 | − | 5.59496i | −1.20199 | − | 0.693970i | ||||
\(66\) | 0.234385 | − | 0.223939i | 0.0288508 | − | 0.0275650i | ||||
\(67\) | −0.663715 | − | 1.14959i | −0.0810857 | − | 0.140445i | 0.822631 | − | 0.568576i | \(-0.192505\pi\) |
−0.903717 | + | 0.428131i | \(0.859172\pi\) | |||||||
\(68\) | −1.23016 | − | 2.13069i | −0.149178 | − | 0.258384i | ||||
\(69\) | −0.653450 | − | 0.683930i | −0.0786661 | − | 0.0823355i | ||||
\(70\) | −5.53500 | − | 6.97537i | −0.661559 | − | 0.833716i | ||||
\(71\) | 0.409310i | 0.0485761i | 0.999705 | + | 0.0242881i | \(0.00773189\pi\) | ||||
−0.999705 | + | 0.0242881i | \(0.992268\pi\) | |||||||
\(72\) | 4.24484 | + | 8.19304i | 0.500259 | + | 0.965559i | ||||
\(73\) | 15.0124i | 1.75707i | 0.477681 | + | 0.878533i | \(0.341478\pi\) | ||||
−0.477681 | + | 0.878533i | \(0.658522\pi\) | |||||||
\(74\) | −2.52704 | − | 1.45899i | −0.293763 | − | 0.169604i | ||||
\(75\) | 5.07706 | + | 1.48517i | 0.586249 | + | 0.171493i | ||||
\(76\) | −3.25704 | + | 1.88045i | −0.373608 | + | 0.215703i | ||||
\(77\) | −0.413030 | + | 0.0612283i | −0.0470691 | + | 0.00697762i | ||||
\(78\) | 1.91741 | + | 7.86887i | 0.217104 | + | 0.890974i | ||||
\(79\) | −2.16372 | + | 3.74766i | −0.243437 | + | 0.421645i | −0.961691 | − | 0.274136i | \(-0.911608\pi\) |
0.718254 | + | 0.695781i | \(0.244942\pi\) | |||||||
\(80\) | 6.98284 | 0.780706 | ||||||||
\(81\) | 5.19076 | − | 7.35228i | 0.576751 | − | 0.816920i | ||||
\(82\) | − | 4.73348i | − | 0.522726i | ||||||
\(83\) | 3.22585 | − | 5.58733i | 0.354083 | − | 0.613289i | −0.632878 | − | 0.774252i | \(-0.718126\pi\) |
0.986961 | + | 0.160963i | \(0.0514598\pi\) | |||||||
\(84\) | 0.372613 | − | 2.69448i | 0.0406554 | − | 0.293992i | ||||
\(85\) | 5.88151 | + | 10.1871i | 0.637940 | + | 1.10494i | ||||
\(86\) | 6.74630 | − | 3.89498i | 0.727473 | − | 0.420007i | ||||
\(87\) | 2.26127 | − | 7.73013i | 0.242433 | − | 0.828757i | ||||
\(88\) | 0.242705 | − | 0.420378i | 0.0258725 | − | 0.0448125i | ||||
\(89\) | 5.05368 | 0.535689 | 0.267845 | − | 0.963462i | \(-0.413689\pi\) | ||||
0.267845 | + | 0.963462i | \(0.413689\pi\) | |||||||
\(90\) | −4.64483 | − | 8.96507i | −0.489608 | − | 0.945001i | ||||
\(91\) | 3.83482 | − | 9.70160i | 0.401999 | − | 1.01700i | ||||
\(92\) | −0.280738 | − | 0.162084i | −0.0292690 | − | 0.0168984i | ||||
\(93\) | −0.154861 | − | 0.162084i | −0.0160583 | − | 0.0168073i | ||||
\(94\) | −8.90179 | + | 5.13945i | −0.918150 | + | 0.530094i | ||||
\(95\) | 15.5723 | − | 8.99066i | 1.59768 | − | 0.922422i | ||||
\(96\) | 3.86908 | + | 4.04955i | 0.394887 | + | 0.413306i | ||||
\(97\) | −2.18452 | − | 1.26123i | −0.221805 | − | 0.128059i | 0.384981 | − | 0.922925i | \(-0.374208\pi\) |
−0.606786 | + | 0.794866i | \(0.707541\pi\) | |||||||
\(98\) | 5.67594 | − | 6.05791i | 0.573357 | − | 0.611941i | ||||
\(99\) | −0.472958 | − | 0.0215693i | −0.0475341 | − | 0.00216779i | ||||
\(100\) | 1.81284 | 0.181284 | ||||||||
\(101\) | 1.49573 | − | 2.59068i | 0.148831 | − | 0.257782i | −0.781965 | − | 0.623323i | \(-0.785782\pi\) |
0.930796 | + | 0.365540i | \(0.119116\pi\) | |||||||
\(102\) | 2.39037 | − | 8.17147i | 0.236682 | − | 0.809096i | ||||
\(103\) | −11.4286 | + | 6.59832i | −1.12610 | + | 0.650152i | −0.942950 | − | 0.332934i | \(-0.891962\pi\) |
−0.183146 | + | 0.983086i | \(0.558628\pi\) | |||||||
\(104\) | 6.06382 | + | 10.5028i | 0.594606 | + | 1.02989i | ||||
\(105\) | −1.78151 | + | 12.8826i | −0.173857 | + | 1.25722i | ||||
\(106\) | −1.54309 | + | 2.67272i | −0.149879 | + | 0.259597i | ||||
\(107\) | 19.5555i | 1.89051i | 0.326339 | + | 0.945253i | \(0.394185\pi\) | ||||
−0.326339 | + | 0.945253i | \(0.605815\pi\) | |||||||
\(108\) | 0.999921 | − | 2.91775i | 0.0962174 | − | 0.280760i | ||||
\(109\) | 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 | ||||
\(111\) | 1.00893 | + | 4.14057i | 0.0957638 | + | 0.393005i | ||||
\(112\) | 0.954606 | + | 6.43951i | 0.0902018 | + | 0.608477i | ||||
\(113\) | −8.72665 | + | 5.03834i | −0.820935 | + | 0.473967i | −0.850739 | − | 0.525589i | \(-0.823845\pi\) |
0.0298041 | + | 0.999556i | \(0.490512\pi\) | |||||||
\(114\) | −12.4911 | − | 3.65399i | −1.16990 | − | 0.342227i | ||||
\(115\) | 1.34224 | + | 0.774943i | 0.125165 | + | 0.0722638i | ||||
\(116\) | − | 2.76016i | − | 0.256274i | ||||||
\(117\) | 6.37495 | − | 9.96395i | 0.589364 | − | 0.921167i | ||||
\(118\) | 4.28561i | 0.394522i | ||||||||
\(119\) | −8.59038 | + | 6.81653i | −0.787479 | + | 0.624870i | ||||
\(120\) | −10.4445 | − | 10.9316i | −0.953444 | − | 0.997917i | ||||
\(121\) | −5.48755 | − | 9.50471i | −0.498868 | − | 0.864065i | ||||
\(122\) | −1.99569 | − | 3.45664i | −0.180681 | − | 0.312949i | ||||
\(123\) | −4.99854 | + | 4.77577i | −0.450703 | + | 0.430617i | ||||
\(124\) | −0.0665320 | − | 0.0384123i | −0.00597475 | − | 0.00344952i | ||||
\(125\) | 5.52245 | 0.493943 | ||||||||
\(126\) | 7.63252 | − | 5.50901i | 0.679959 | − | 0.490782i | ||||
\(127\) | −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 | ||||
\(129\) | −10.9197 | − | 3.19429i | −0.961422 | − | 0.281241i | ||||
\(130\) | −6.63521 | − | 11.4925i | −0.581946 | − | 1.00796i | ||||
\(131\) | −5.02249 | − | 8.69921i | −0.438817 | − | 0.760054i | 0.558781 | − | 0.829315i | \(-0.311269\pi\) |
−0.997599 | + | 0.0692612i | \(0.977936\pi\) | |||||||
\(132\) | −0.157640 | + | 0.0384123i | −0.0137208 | + | 0.00334336i | ||||
\(133\) | 10.4199 | + | 13.1315i | 0.903524 | + | 1.13865i | ||||
\(134\) | − | 1.57423i | − | 0.135993i | ||||||
\(135\) | −4.78074 | + | 13.9501i | −0.411460 | + | 1.20063i | ||||
\(136\) | − | 12.7488i | − | 1.09320i | ||||||
\(137\) | −6.96410 | − | 4.02073i | −0.594984 | − | 0.343514i | 0.172082 | − | 0.985083i | \(-0.444951\pi\) |
−0.767066 | + | 0.641569i | \(0.778284\pi\) | |||||||
\(138\) | −0.265576 | − | 1.08990i | −0.0226073 | − | 0.0927781i | ||||
\(139\) | 16.3702 | − | 9.45136i | 1.38850 | − | 0.801654i | 0.395358 | − | 0.918527i | \(-0.370621\pi\) |
0.993147 | + | 0.116873i | \(0.0372872\pi\) | |||||||
\(140\) | 0.653562 | + | 4.40875i | 0.0552361 | + | 0.372607i | ||||
\(141\) | 14.4086 | + | 4.21488i | 1.21342 | + | 0.354957i | ||||
\(142\) | −0.242705 | + | 0.420378i | −0.0203674 | + | 0.0352774i | ||||
\(143\) | −0.622259 | −0.0520359 | ||||||||
\(144\) | −0.336285 | + | 7.37385i | −0.0280237 | + | 0.614488i | ||||
\(145\) | 13.1966i | 1.09592i | ||||||||
\(146\) | −8.90179 | + | 15.4184i | −0.736717 | + | 1.27603i | ||||
\(147\) | −12.1238 | + | 0.118263i | −0.999952 | + | 0.00975413i | ||||
\(148\) | 0.730252 | + | 1.26483i | 0.0600264 | + | 0.103969i | ||||
\(149\) | 16.8063 | − | 9.70313i | 1.37683 | − | 0.794912i | 0.385051 | − | 0.922895i | \(-0.374184\pi\) |
0.991776 | + | 0.127984i | \(0.0408505\pi\) | |||||||
\(150\) | 4.33370 | + | 4.53585i | 0.353845 | + | 0.370350i | ||||
\(151\) | 0.893968 | − | 1.54840i | 0.0727501 | − | 0.126007i | −0.827356 | − | 0.561678i | \(-0.810156\pi\) |
0.900106 | + | 0.435672i | \(0.143489\pi\) | |||||||
\(152\) | −19.4881 | −1.58070 | ||||||||
\(153\) | −11.0408 | + | 5.72026i | −0.892592 | + | 0.462455i | ||||
\(154\) | −0.460505 | − | 0.182027i | −0.0371085 | − | 0.0146682i | ||||
\(155\) | 0.318097 | + | 0.183653i | 0.0255502 | + | 0.0147514i | ||||
\(156\) | 1.13814 | − | 3.89071i | 0.0911238 | − | 0.311506i | ||||
\(157\) | 3.80255 | − | 2.19540i | 0.303477 | − | 0.175212i | −0.340527 | − | 0.940235i | \(-0.610605\pi\) |
0.644004 | + | 0.765022i | \(0.277272\pi\) | |||||||
\(158\) | −4.44445 | + | 2.56601i | −0.353582 | + | 0.204140i | ||||
\(159\) | 4.37926 | − | 1.06710i | 0.347298 | − | 0.0846262i | ||||
\(160\) | −7.94742 | − | 4.58845i | −0.628299 | − | 0.362749i | ||||
\(161\) | −0.531151 | + | 1.34374i | −0.0418606 | + | 0.105902i | ||||
\(162\) | 9.69076 | − | 4.47318i | 0.761378 | − | 0.351446i | ||||
\(163\) | 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 | ||||
\(165\) | 0.753696 | − | 0.183653i | 0.0586751 | − | 0.0142974i | ||||
\(166\) | 6.62616 | − | 3.82562i | 0.514290 | − | 0.296925i | ||||
\(167\) | −5.25273 | − | 9.09799i | −0.406468 | − | 0.704024i | 0.588023 | − | 0.808844i | \(-0.299907\pi\) |
−0.994491 | + | 0.104821i | \(0.966573\pi\) | |||||||
\(168\) | 8.65321 | − | 11.1262i | 0.667610 | − | 0.858406i | ||||
\(169\) | 1.27335 | − | 2.20550i | 0.0979497 | − | 0.169654i | ||||
\(170\) | 13.9501i | 1.06992i | ||||||||
\(171\) | 8.74415 | + | 16.8772i | 0.668682 | + | 1.29063i | ||||
\(172\) | −3.89903 | −0.297298 | ||||||||
\(173\) | 8.77949 | − | 15.2065i | 0.667492 | − | 1.15613i | −0.311111 | − | 0.950374i | \(-0.600701\pi\) |
0.978603 | − | 0.205757i | \(-0.0659656\pi\) | |||||||
\(174\) | 6.90610 | − | 6.59832i | 0.523550 | − | 0.500218i | ||||
\(175\) | −1.18490 | − | 7.99300i | −0.0895699 | − | 0.604214i | ||||
\(176\) | 0.336285 | − | 0.194154i | 0.0253484 | − | 0.0146349i | ||||
\(177\) | 4.52558 | − | 4.32389i | 0.340163 | − | 0.325004i | ||||
\(178\) | 5.19035 | + | 2.99665i | 0.389033 | + | 0.224608i | ||||
\(179\) | 18.2033i | 1.36058i | 0.732945 | + | 0.680288i | \(0.238145\pi\) | ||||
−0.732945 | + | 0.680288i | \(0.761855\pi\) | |||||||
\(180\) | −0.230234 | + | 5.04844i | −0.0171606 | + | 0.376288i | ||||
\(181\) | − | 6.60182i | − | 0.490710i | −0.969433 | − | 0.245355i | \(-0.921096\pi\) | ||
0.969433 | − | 0.245355i | \(-0.0789045\pi\) | |||||||
\(182\) | 9.69121 | − | 7.69004i | 0.718360 | − | 0.570024i | ||||
\(183\) | −1.63667 | + | 5.59496i | −0.120986 | + | 0.413591i | ||||
\(184\) | −0.839883 | − | 1.45472i | −0.0619170 | − | 0.107243i | ||||
\(185\) | −3.49142 | − | 6.04732i | −0.256694 | − | 0.444608i | ||||
\(186\) | −0.0629386 | − | 0.258294i | −0.00461488 | − | 0.0189390i | ||||
\(187\) | 0.566492 | + | 0.327065i | 0.0414260 | + | 0.0239173i | ||||
\(188\) | 5.14479 | 0.375223 | ||||||||
\(189\) | −13.5182 | − | 2.50167i | −0.983304 | − | 0.181970i | ||||
\(190\) | 21.3245 | 1.54704 | ||||||||
\(191\) | −12.3063 | − | 7.10506i | −0.890454 | − | 0.514104i | −0.0163630 | − | 0.999866i | \(-0.505209\pi\) |
−0.874091 | + | 0.485762i | \(0.838542\pi\) | |||||||
\(192\) | 3.59034 | + | 14.7344i | 0.259111 | + | 1.06337i | ||||
\(193\) | 5.00214 | + | 8.66395i | 0.360062 | + | 0.623645i | 0.987971 | − | 0.154642i | \(-0.0494223\pi\) |
−0.627909 | + | 0.778287i | \(0.716089\pi\) | |||||||
\(194\) | −1.49573 | − | 2.59068i | −0.107387 | − | 0.186000i | ||||
\(195\) | −5.44156 | + | 18.6020i | −0.389678 | + | 1.33211i | ||||
\(196\) | −3.97636 | + | 1.20542i | −0.284026 | + | 0.0861013i | ||||
\(197\) | − | 20.1017i | − | 1.43218i | −0.698006 | − | 0.716092i | \(-0.745929\pi\) | ||
0.698006 | − | 0.716092i | \(-0.254071\pi\) | |||||||
\(198\) | −0.472958 | − | 0.302599i | −0.0336117 | − | 0.0215048i | ||||
\(199\) | − | 12.9378i | − | 0.917136i | −0.888659 | − | 0.458568i | \(-0.848363\pi\) | ||
0.888659 | − | 0.458568i | \(-0.151637\pi\) | |||||||
\(200\) | 8.13521 | + | 4.69687i | 0.575246 | + | 0.332119i | ||||
\(201\) | −1.66238 | + | 1.58830i | −0.117256 | + | 0.112030i | ||||
\(202\) | 3.07236 | − | 1.77383i | 0.216170 | − | 0.124806i | ||||
\(203\) | −12.1698 | + | 1.80408i | −0.854154 | + | 0.126622i | ||||
\(204\) | −3.08113 | + | 2.94381i | −0.215722 | + | 0.206108i | ||||
\(205\) | 5.66372 | − | 9.80984i | 0.395571 | − | 0.685149i | ||||
\(206\) | −15.6502 | −1.09040 | ||||||||
\(207\) | −0.882977 | + | 1.38008i | −0.0613712 | + | 0.0959222i | ||||
\(208\) | 9.70160i | 0.672685i | ||||||||
\(209\) | 0.499960 | − | 0.865957i | 0.0345830 | − | 0.0598995i | ||||
\(210\) | −9.46860 | + | 12.1746i | −0.653396 | + | 0.840129i | ||||
\(211\) | −4.50720 | − | 7.80669i | −0.310288 | − | 0.537435i | 0.668136 | − | 0.744039i | \(-0.267092\pi\) |
−0.978425 | + | 0.206604i | \(0.933759\pi\) | |||||||
\(212\) | 1.33775 | − | 0.772349i | 0.0918769 | − | 0.0530451i | ||||
\(213\) | 0.688791 | − | 0.167838i | 0.0471952 | − | 0.0115001i | ||||
\(214\) | −11.5957 | + | 20.0844i | −0.792667 | + | 1.37294i | ||||
\(215\) | 18.6417 | 1.27135 | ||||||||
\(216\) | 12.0467 | − | 10.5028i | 0.819677 | − | 0.714628i | ||||
\(217\) | −0.125877 | + | 0.318453i | −0.00854510 | + | 0.0216180i | ||||
\(218\) | 13.6067 | + | 7.85584i | 0.921562 | + | 0.532064i | ||||
\(219\) | 25.2630 | − | 6.15585i | 1.70712 | − | 0.415974i | ||||
\(220\) | 0.230234 | − | 0.132926i | 0.0155224 | − | 0.00896185i | ||||
\(221\) | −14.1534 | + | 8.17147i | −0.952061 | + | 0.549672i | ||||
\(222\) | −1.41899 | + | 4.85080i | −0.0952361 | + | 0.325564i | ||||
\(223\) | −1.95429 | − | 1.12831i | −0.130869 | − | 0.0755571i | 0.433136 | − | 0.901328i | \(-0.357407\pi\) |
−0.564005 | + | 0.825771i | \(0.690740\pi\) | |||||||
\(224\) | 3.14495 | − | 7.95631i | 0.210131 | − | 0.531604i | ||||
\(225\) | 0.417411 | − | 9.15274i | 0.0278274 | − | 0.610183i | ||||
\(226\) | −11.9502 | −0.794915 | ||||||||
\(227\) | −9.32085 | + | 16.1442i | −0.618647 | + | 1.07153i | 0.371086 | + | 0.928598i | \(0.378985\pi\) |
−0.989733 | + | 0.142929i | \(0.954348\pi\) | |||||||
\(228\) | 4.50000 | + | 4.70990i | 0.298020 | + | 0.311921i | ||||
\(229\) | −12.3891 | + | 7.15283i | −0.818692 | + | 0.472672i | −0.849965 | − | 0.526839i | \(-0.823377\pi\) |
0.0312731 | + | 0.999511i | \(0.490044\pi\) | |||||||
\(230\) | 0.919025 | + | 1.59180i | 0.0605987 | + | 0.104960i | ||||
\(231\) | 0.272399 | + | 0.669944i | 0.0179226 | + | 0.0440791i | ||||
\(232\) | 7.15126 | − | 12.3863i | 0.469503 | − | 0.813204i | ||||
\(233\) | − | 17.0679i | − | 1.11815i | −0.829116 | − | 0.559077i | \(-0.811156\pi\) | ||
0.829116 | − | 0.559077i | \(-0.188844\pi\) | |||||||
\(234\) | 12.4556 | − | 6.45329i | 0.814248 | − | 0.421865i | ||||
\(235\) | −24.5979 | −1.60459 | ||||||||
\(236\) | 1.07251 | − | 1.85765i | 0.0698148 | − | 0.120923i | ||||
\(237\) | 7.19385 | + | 2.10439i | 0.467291 | + | 0.136695i | ||||
\(238\) | −12.8646 | + | 1.90708i | −0.833890 | + | 0.123618i | ||||
\(239\) | 1.93560 | − | 1.11752i | 0.125203 | − | 0.0722863i | −0.436090 | − | 0.899903i | \(-0.643637\pi\) |
0.561294 | + | 0.827617i | \(0.310304\pi\) | |||||||
\(240\) | −2.86333 | − | 11.7508i | −0.184827 | − | 0.758512i | ||||
\(241\) | −3.91464 | − | 2.26012i | −0.252164 | − | 0.145587i | 0.368591 | − | 0.929592i | \(-0.379840\pi\) |
−0.620755 | + | 0.784005i | \(0.713174\pi\) | |||||||
\(242\) | − | 13.0157i | − | 0.836678i | ||||||
\(243\) | −14.5010 | − | 5.72026i | −0.930239 | − | 0.366955i | ||||
\(244\) | 1.99777i | 0.127894i | ||||||||
\(245\) | 19.0114 | − | 5.76324i | 1.21460 | − | 0.368200i | ||||
\(246\) | −7.96557 | + | 1.94097i | −0.507866 | + | 0.123752i | ||||
\(247\) | 12.4911 | + | 21.6353i | 0.794793 | + | 1.37662i | ||||
\(248\) | −0.199044 | − | 0.344754i | −0.0126393 | − | 0.0218919i | ||||
\(249\) | −10.7252 | − | 3.13740i | −0.679681 | − | 0.198825i | ||||
\(250\) | 5.67179 | + | 3.27461i | 0.358716 | + | 0.207105i | ||||
\(251\) | −21.1727 | −1.33641 | −0.668205 | − | 0.743978i | \(-0.732937\pi\) | ||||
−0.668205 | + | 0.743978i | \(0.732937\pi\) | |||||||
\(252\) | −4.68710 | + | 0.477839i | −0.295259 | + | 0.0301010i | ||||
\(253\) | 0.0861875 | 0.00541856 | ||||||||
\(254\) | −12.8274 | − | 7.40592i | −0.804865 | − | 0.464689i | ||||
\(255\) | 14.7312 | − | 14.0747i | 0.922505 | − | 0.881393i | ||||
\(256\) | 6.43346 | + | 11.1431i | 0.402091 | + | 0.696443i | ||||
\(257\) | 15.6502 | + | 27.1070i | 0.976236 | + | 1.69089i | 0.675796 | + | 0.737089i | \(0.263800\pi\) |
0.300440 | + | 0.953801i | \(0.402866\pi\) | |||||||
\(258\) | −9.32085 | − | 9.75562i | −0.580291 | − | 0.607358i | ||||
\(259\) | 5.09948 | − | 4.04647i | 0.316866 | − | 0.251435i | ||||
\(260\) | 6.64211i | 0.411926i | ||||||||
\(261\) | −13.9356 | − | 0.635534i | −0.862592 | − | 0.0393385i | ||||
\(262\) | − | 11.9126i | − | 0.735964i | ||||||
\(263\) | −5.78220 | − | 3.33836i | −0.356546 | − | 0.205852i | 0.311019 | − | 0.950404i | \(-0.399330\pi\) |
−0.667564 | + | 0.744552i | \(0.732663\pi\) | |||||||
\(264\) | −0.806939 | − | 0.236051i | −0.0496637 | − | 0.0145279i | ||||
\(265\) | −6.39593 | + | 3.69269i | −0.392899 | + | 0.226840i | ||||
\(266\) | 2.91522 | + | 19.6653i | 0.178743 | + | 1.20575i | ||||
\(267\) | −2.07227 | − | 8.50440i | −0.126821 | − | 0.520461i | ||||
\(268\) | −0.393968 | + | 0.682372i | −0.0240654 | + | 0.0416825i | ||||
\(269\) | −10.6589 | −0.649887 | −0.324944 | − | 0.945733i | \(-0.605345\pi\) | ||||
−0.324944 | + | 0.945733i | \(0.605345\pi\) | |||||||
\(270\) | −13.1819 | + | 11.4925i | −0.802225 | + | 0.699413i | ||||
\(271\) | 7.44498i | 0.452250i | 0.974098 | + | 0.226125i | \(0.0726058\pi\) | ||||
−0.974098 | + | 0.226125i | \(0.927394\pi\) | |||||||
\(272\) | 5.09924 | − | 8.83214i | 0.309187 | − | 0.535527i | ||||
\(273\) | −17.8984 | − | 2.47513i | −1.08326 | − | 0.149802i | ||||
\(274\) | −4.76829 | − | 8.25891i | −0.288063 | − | 0.498939i | ||||
\(275\) | −0.417411 | + | 0.240992i | −0.0251708 | + | 0.0145324i | ||||
\(276\) | −0.157640 | + | 0.538892i | −0.00948882 | + | 0.0324375i | ||||
\(277\) | 13.2793 | − | 23.0004i | 0.797874 | − | 1.38196i | −0.123124 | − | 0.992391i | \(-0.539291\pi\) |
0.920998 | − | 0.389568i | \(-0.127376\pi\) | |||||||
\(278\) | 22.4172 | 1.34450 | ||||||||
\(279\) | −0.209256 | + | 0.327065i | −0.0125278 | + | 0.0195808i | ||||
\(280\) | −8.48968 | + | 21.4778i | −0.507356 | + | 1.28354i | ||||
\(281\) | 21.0993 | + | 12.1817i | 1.25868 | + | 0.726699i | 0.972818 | − | 0.231572i | \(-0.0743869\pi\) |
0.285862 | + | 0.958271i | \(0.407720\pi\) | |||||||
\(282\) | 12.2989 | + | 12.8726i | 0.732390 | + | 0.766552i | ||||
\(283\) | 7.49302 | − | 4.32610i | 0.445414 | − | 0.257160i | −0.260478 | − | 0.965480i | \(-0.583880\pi\) |
0.705891 | + | 0.708320i | \(0.250547\pi\) | |||||||
\(284\) | 0.210408 | − | 0.121479i | 0.0124854 | − | 0.00720844i | ||||
\(285\) | −21.5150 | − | 22.5186i | −1.27444 | − | 1.33389i | ||||
\(286\) | −0.639086 | − | 0.368977i | −0.0377900 | − | 0.0218181i | ||||
\(287\) | 9.82082 | + | 3.88195i | 0.579704 | + | 0.229144i | ||||
\(288\) | 5.22812 | − | 8.17147i | 0.308070 | − | 0.481508i | ||||
\(289\) | 0.179961 | 0.0105860 | ||||||||
\(290\) | −7.82512 | + | 13.5535i | −0.459507 | + | 0.795890i | ||||
\(291\) | −1.22665 | + | 4.19331i | −0.0719077 | + | 0.245816i | ||||
\(292\) | 7.71719 | − | 4.45552i | 0.451614 | − | 0.260740i | ||||
\(293\) | 4.40023 | + | 7.62143i | 0.257064 | + | 0.445249i | 0.965454 | − | 0.260573i | \(-0.0839114\pi\) |
−0.708390 | + | 0.705821i | \(0.750578\pi\) | |||||||
\(294\) | −12.5218 | − | 7.06749i | −0.730284 | − | 0.412185i | ||||
\(295\) | −5.12782 | + | 8.88164i | −0.298553 | + | 0.517109i | ||||
\(296\) | 7.56800i | 0.439881i | ||||||||
\(297\) | 0.157640 | + | 0.804744i | 0.00914721 | + | 0.0466960i | ||||
\(298\) | 23.0144 | 1.33319 | ||||||||
\(299\) | −1.07667 | + | 1.86484i | −0.0622652 | + | 0.107846i | ||||
\(300\) | −0.743359 | − | 3.05067i | −0.0429178 | − | 0.176131i | ||||
\(301\) | 2.54846 | + | 17.1912i | 0.146891 | + | 0.990885i | ||||
\(302\) | 1.83628 | − | 1.06018i | 0.105666 | − | 0.0610065i | ||||
\(303\) | −4.97296 | − | 1.45472i | −0.285689 | − | 0.0835715i | ||||
\(304\) | −13.5011 | − | 7.79485i | −0.774339 | − | 0.447065i | ||||
\(305\) | − | 9.55155i | − | 0.546920i | ||||||
\(306\) | −14.7312 | − | 0.671818i | −0.842128 | − | 0.0384053i | ||||
\(307\) | 11.1747i | 0.637771i | 0.947793 | + | 0.318886i | \(0.103309\pi\) | ||||
−0.947793 | + | 0.318886i | \(0.896691\pi\) | |||||||
\(308\) | 0.154058 | + | 0.194148i | 0.00877825 | + | 0.0110626i | ||||
\(309\) | 15.7901 | + | 16.5266i | 0.898266 | + | 0.940165i | ||||
\(310\) | 0.217799 | + | 0.377240i | 0.0123702 | + | 0.0214258i | ||||
\(311\) | 8.20279 | + | 14.2076i | 0.465137 | + | 0.805641i | 0.999208 | − | 0.0397985i | \(-0.0126716\pi\) |
−0.534070 | + | 0.845440i | \(0.679338\pi\) | |||||||
\(312\) | 15.1878 | − | 14.5110i | 0.859842 | − | 0.821522i | ||||
\(313\) | −7.10514 | − | 4.10216i | −0.401606 | − | 0.231868i | 0.285570 | − | 0.958358i | \(-0.407817\pi\) |
−0.687177 | + | 0.726490i | \(0.741150\pi\) | |||||||
\(314\) | 5.20717 | 0.293858 | ||||||||
\(315\) | 22.4095 | − | 2.28460i | 1.26264 | − | 0.128723i | ||||
\(316\) | 2.56867 | 0.144499 | ||||||||
\(317\) | 19.8427 | + | 11.4562i | 1.11448 | + | 0.643443i | 0.939985 | − | 0.341215i | \(-0.110839\pi\) |
0.174491 | + | 0.984659i | \(0.444172\pi\) | |||||||
\(318\) | 5.13043 | + | 1.50079i | 0.287700 | + | 0.0841599i | ||||
\(319\) | 0.366926 | + | 0.635534i | 0.0205439 | + | 0.0355831i | ||||
\(320\) | −12.4244 | − | 21.5197i | −0.694545 | − | 1.20299i | ||||
\(321\) | 32.9083 | − | 8.01878i | 1.83676 | − | 0.447565i | ||||
\(322\) | −1.34230 | + | 1.06513i | −0.0748037 | + | 0.0593572i | ||||
\(323\) | − | 26.2618i | − | 1.46125i | ||||||
\(324\) | −5.32004 | − | 0.486253i | −0.295558 | − | 0.0270140i | ||||
\(325\) | − | 12.0420i | − | 0.667972i | ||||||
\(326\) | 5.58259 | + | 3.22311i | 0.309191 | + | 0.178512i | ||||
\(327\) | −5.43255 | − | 22.2946i | −0.300420 | − | 1.23290i | ||||
\(328\) | −10.6319 | + | 6.13833i | −0.587049 | + | 0.338933i | ||||
\(329\) | −3.36271 | − | 22.6839i | −0.185392 | − | 1.25060i | ||||
\(330\) | 0.882977 | + | 0.258294i | 0.0486063 | + | 0.0142186i | ||||
\(331\) | −9.63161 | + | 16.6824i | −0.529401 | + | 0.916950i | 0.470011 | + | 0.882661i | \(0.344250\pi\) |
−0.999412 | + | 0.0342892i | \(0.989083\pi\) | |||||||
\(332\) | −3.82959 | −0.210176 | ||||||||
\(333\) | 6.55408 | − | 3.39569i | 0.359162 | − | 0.186083i | ||||
\(334\) | − | 12.4587i | − | 0.681709i | ||||||
\(335\) | 1.88361 | − | 3.26250i | 0.102912 | − | 0.178249i | ||||
\(336\) | 10.4451 | − | 4.24696i | 0.569824 | − | 0.231690i | ||||
\(337\) | −2.26829 | − | 3.92878i | −0.123561 | − | 0.214015i | 0.797608 | − | 0.603176i | \(-0.206098\pi\) |
−0.921170 | + | 0.389161i | \(0.872765\pi\) | |||||||
\(338\) | 2.61556 | − | 1.51009i | 0.142268 | − | 0.0821383i | ||||
\(339\) | 12.0570 | + | 12.6193i | 0.654844 | + | 0.685389i | ||||
\(340\) | 3.49115 | − | 6.04684i | 0.189334 | − | 0.327936i | ||||
\(341\) | 0.0204255 | 0.00110610 | ||||||||
\(342\) | −1.02696 | + | 22.5186i | −0.0555317 | + | 1.21767i | ||||
\(343\) | 7.91381 | + | 16.7443i | 0.427306 | + | 0.904107i | ||||
\(344\) | −17.4971 | − | 10.1019i | −0.943379 | − | 0.544660i | ||||
\(345\) | 0.753696 | − | 2.57651i | 0.0405776 | − | 0.138714i | ||||
\(346\) | 18.0338 | − | 10.4118i | 0.969504 | − | 0.559743i | ||||
\(347\) | 7.56294 | − | 4.36646i | 0.406000 | − | 0.234404i | −0.283070 | − | 0.959099i | \(-0.591353\pi\) |
0.689070 | + | 0.724695i | \(0.258019\pi\) | |||||||
\(348\) | −4.64483 | + | 1.13181i | −0.248989 | + | 0.0606713i | ||||
\(349\) | 7.82927 | + | 4.52023i | 0.419091 | + | 0.241963i | 0.694689 | − | 0.719311i | \(-0.255542\pi\) |
−0.275597 | + | 0.961273i | \(0.588876\pi\) | |||||||
\(350\) | 3.52261 | − | 8.91175i | 0.188292 | − | 0.476353i | ||||
\(351\) | −19.3815 | − | 6.64211i | −1.03451 | − | 0.354529i | ||||
\(352\) | −0.510317 | −0.0272000 | ||||||||
\(353\) | 0.607896 | − | 1.05291i | 0.0323550 | − | 0.0560406i | −0.849394 | − | 0.527758i | \(-0.823033\pi\) |
0.881750 | + | 0.471718i | \(0.156366\pi\) | |||||||
\(354\) | 7.21187 | − | 1.75732i | 0.383307 | − | 0.0934005i | ||||
\(355\) | −1.00598 | + | 0.580805i | −0.0533920 | + | 0.0308259i | ||||
\(356\) | −1.49988 | − | 2.59787i | −0.0794936 | − | 0.137687i | ||||
\(357\) | 14.9934 | + | 11.6609i | 0.793537 | + | 0.617159i | ||||
\(358\) | −10.7939 | + | 18.6955i | −0.570473 | + | 0.988089i | ||||
\(359\) | 17.3069i | 0.913424i | 0.889615 | + | 0.456712i | \(0.150973\pi\) | ||||
−0.889615 | + | 0.456712i | \(0.849027\pi\) | |||||||
\(360\) | −14.1131 | + | 22.0586i | −0.743826 | + | 1.16259i | ||||
\(361\) | −21.1445 | −1.11287 | ||||||||
\(362\) | 3.91464 | − | 6.78035i | 0.205749 | − | 0.356367i | ||||
\(363\) | −13.7445 | + | 13.1319i | −0.721397 | + | 0.689248i | ||||
\(364\) | −6.12529 | + | 0.908025i | −0.321052 | + | 0.0475934i | ||||
\(365\) | −36.8968 | + | 21.3024i | −1.93127 | + | 1.11502i | ||||
\(366\) | −4.99854 | + | 4.77577i | −0.261278 | + | 0.249634i | ||||
\(367\) | −24.4297 | − | 14.1045i | −1.27522 | − | 0.736250i | −0.299256 | − | 0.954173i | \(-0.596738\pi\) |
−0.975966 | + | 0.217923i | \(0.930072\pi\) | |||||||
\(368\) | − | 1.34374i | − | 0.0700474i | ||||||
\(369\) | 10.0864 | + | 6.45329i | 0.525077 | + | 0.335945i | ||||
\(370\) | − | 8.28114i | − | 0.430516i | ||||||
\(371\) | −4.27973 | − | 5.39344i | −0.222193 | − | 0.280014i | ||||
\(372\) | −0.0373591 | + | 0.127712i | −0.00193698 | + | 0.00662155i | ||||
\(373\) | −14.1264 | − | 24.4676i | −0.731435 | − | 1.26688i | −0.956270 | − | 0.292486i | \(-0.905518\pi\) |
0.224835 | − | 0.974397i | \(-0.427816\pi\) | |||||||
\(374\) | 0.387874 | + | 0.671818i | 0.0200565 | + | 0.0347389i | ||||
\(375\) | −2.26449 | − | 9.29325i | −0.116938 | − | 0.479902i | ||||
\(376\) | 23.0875 | + | 13.3296i | 1.19065 | + | 0.687420i | ||||
\(377\) | −18.3347 | −0.944287 | ||||||||
\(378\) | −12.4004 | − | 10.5851i | −0.637806 | − | 0.544439i | ||||
\(379\) | 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 | ||||
\(381\) | 5.12142 | + | 21.0178i | 0.262378 | + | 1.07677i | ||||
\(382\) | −8.42607 | − | 14.5944i | −0.431115 | − | 0.746714i | ||||
\(383\) | 12.3932 | + | 21.4657i | 0.633264 | + | 1.09684i | 0.986880 | + | 0.161454i | \(0.0516184\pi\) |
−0.353617 | + | 0.935390i | \(0.615048\pi\) | |||||||
\(384\) | −1.90458 | + | 6.51081i | −0.0971928 | + | 0.332253i | ||||
\(385\) | −0.736567 | − | 0.928244i | −0.0375390 | − | 0.0473077i | ||||
\(386\) | 11.8643i | 0.603878i | ||||||||
\(387\) | −0.897761 | + | 19.6856i | −0.0456357 | + | 1.00067i | ||||
\(388\) | 1.49729i | 0.0760131i | ||||||||
\(389\) | 4.43706 | + | 2.56174i | 0.224968 | + | 0.129885i | 0.608248 | − | 0.793747i | \(-0.291872\pi\) |
−0.383281 | + | 0.923632i | \(0.625206\pi\) | |||||||
\(390\) | −16.6190 | + | 15.8783i | −0.841535 | + | 0.804031i | ||||
\(391\) | 1.96035 | − | 1.13181i | 0.0991391 | − | 0.0572380i | ||||
\(392\) | −20.9672 | − | 4.89293i | −1.05900 | − | 0.247130i | ||||
\(393\) | −12.5797 | + | 12.0190i | −0.634560 | + | 0.606280i | ||||
\(394\) | 11.9195 | − | 20.6453i | 0.600498 | − | 1.04009i | ||||
\(395\) | −12.2811 | −0.617930 | ||||||||
\(396\) | 0.129281 | + | 0.249528i | 0.00649663 | + | 0.0125392i | ||||
\(397\) | − | 1.92094i | − | 0.0964093i | −0.998837 | − | 0.0482046i | \(-0.984650\pi\) | ||
0.998837 | − | 0.0482046i | \(-0.0153500\pi\) | |||||||
\(398\) | 7.67163 | − | 13.2877i | 0.384544 | − | 0.666050i | ||||
\(399\) | 17.8252 | − | 22.9194i | 0.892374 | − | 1.14741i | ||||
\(400\) | 3.75729 | + | 6.50783i | 0.187865 | + | 0.325391i | ||||
\(401\) | −12.4612 | + | 7.19446i | −0.622282 | + | 0.359274i | −0.777757 | − | 0.628565i | \(-0.783642\pi\) |
0.155475 | + | 0.987840i | \(0.450309\pi\) | |||||||
\(402\) | −2.64914 | + | 0.645517i | −0.132127 | + | 0.0321955i | ||||
\(403\) | −0.255158 | + | 0.441947i | −0.0127103 | + | 0.0220150i | ||||
\(404\) | −1.77567 | −0.0883429 | ||||||||
\(405\) | 25.4357 | + | 2.32483i | 1.26391 | + | 0.115522i | ||||
\(406\) | −13.5687 | − | 5.36339i | −0.673402 | − | 0.266181i | ||||
\(407\) | −0.336285 | − | 0.194154i | −0.0166690 | − | 0.00962386i | ||||
\(408\) | −21.4538 | + | 5.22765i | −1.06212 | + | 0.258807i | ||||
\(409\) | 8.42281 | − | 4.86291i | 0.416481 | − | 0.240455i | −0.277090 | − | 0.960844i | \(-0.589370\pi\) |
0.693571 | + | 0.720389i | \(0.256037\pi\) | |||||||
\(410\) | 11.6337 | − | 6.71675i | 0.574550 | − | 0.331717i | ||||
\(411\) | −3.91049 | + | 13.3680i | −0.192890 | + | 0.659394i | ||||
\(412\) | 6.78380 | + | 3.91663i | 0.334214 | + | 0.192958i | ||||
\(413\) | −8.89158 | − | 3.51464i | −0.437526 | − | 0.172944i | ||||
\(414\) | −1.72519 | + | 0.893828i | −0.0847885 | + | 0.0439292i | ||||
\(415\) | 18.3097 | 0.898789 | ||||||||
\(416\) | 6.37495 | − | 11.0417i | 0.312558 | − | 0.541366i | ||||
\(417\) | −22.6175 | − | 23.6725i | −1.10758 | − | 1.15925i | ||||
\(418\) | 1.02696 | − | 0.592916i | 0.0502303 | − | 0.0290005i | ||||
\(419\) | −14.9512 | − | 25.8963i | −0.730416 | − | 1.26512i | −0.956706 | − | 0.291058i | \(-0.905993\pi\) |
0.226289 | − | 0.974060i | \(-0.427340\pi\) | |||||||
\(420\) | 7.15111 | − | 2.90764i | 0.348938 | − | 0.141878i | ||||
\(421\) | −12.5452 | + | 21.7290i | −0.611417 | + | 1.05901i | 0.379585 | + | 0.925157i | \(0.376067\pi\) |
−0.991002 | + | 0.133848i | \(0.957266\pi\) | |||||||
\(422\) | − | 10.6904i | − | 0.520401i | ||||||
\(423\) | 1.18460 | − | 25.9752i | 0.0575973 | − | 1.26296i | ||||
\(424\) | 8.00427 | 0.388722 | ||||||||
\(425\) | −6.32939 | + | 10.9628i | −0.307021 | + | 0.531775i | ||||
\(426\) | 0.806939 | + | 0.236051i | 0.0390963 | + | 0.0114367i | ||||
\(427\) | 8.80835 | − | 1.30577i | 0.426266 | − | 0.0631905i | ||||
\(428\) | 10.0526 | − | 5.80388i | 0.485912 | − | 0.280541i | ||||
\(429\) | 0.255158 | + | 1.04715i | 0.0123192 | + | 0.0505567i | ||||
\(430\) | 19.1458 | + | 11.0538i | 0.923293 | + | 0.533064i | ||||
\(431\) | 6.39061i | 0.307825i | 0.988084 | + | 0.153913i | \(0.0491874\pi\) | ||||
−0.988084 | + | 0.153913i | \(0.950813\pi\) | |||||||
\(432\) | 12.5467 | − | 2.45776i | 0.603653 | − | 0.118249i | ||||
\(433\) | − | 33.1771i | − | 1.59439i | −0.603721 | − | 0.797196i | \(-0.706316\pi\) | ||
0.603721 | − | 0.797196i | \(-0.293684\pi\) | |||||||
\(434\) | −0.318112 | + | 0.252424i | −0.0152699 | + | 0.0121167i | ||||
\(435\) | 22.2075 | − | 5.41131i | 1.06477 | − | 0.259452i | ||||
\(436\) | −3.93200 | − | 6.81042i | −0.188309 | − | 0.326160i | ||||
\(437\) | −1.73012 | − | 2.99665i | −0.0827627 | − | 0.143349i | ||||
\(438\) | 29.5964 | + | 8.65772i | 1.41417 | + | 0.413682i | ||||
\(439\) | 7.32931 | + | 4.23158i | 0.349809 | + | 0.201962i | 0.664601 | − | 0.747198i | \(-0.268601\pi\) |
−0.314792 | + | 0.949161i | \(0.601935\pi\) | |||||||
\(440\) | 1.37758 | 0.0656737 | ||||||||
\(441\) | 5.17039 | + | 20.3536i | 0.246209 | + | 0.969217i | ||||
\(442\) | −19.3815 | −0.921885 | ||||||||
\(443\) | 16.1082 | + | 9.30006i | 0.765322 | + | 0.441859i | 0.831203 | − | 0.555969i | \(-0.187652\pi\) |
−0.0658812 | + | 0.997827i | \(0.520986\pi\) | |||||||
\(444\) | 1.82904 | − | 1.74753i | 0.0868023 | − | 0.0829339i | ||||
\(445\) | 7.17111 | + | 12.4207i | 0.339943 | + | 0.588799i | ||||
\(446\) | −1.33809 | − | 2.31764i | −0.0633604 | − | 0.109743i | ||||
\(447\) | −23.2200 | − | 24.3031i | −1.09827 | − | 1.14950i | ||||
\(448\) | 18.1468 | − | 14.3996i | 0.857353 | − | 0.680316i | ||||
\(449\) | 20.3100i | 0.958489i | 0.877681 | + | 0.479245i | \(0.159089\pi\) | ||||
−0.877681 | + | 0.479245i | \(0.840911\pi\) | |||||||
\(450\) | 5.85594 | − | 9.15274i | 0.276051 | − | 0.431464i | ||||
\(451\) | − | 0.629906i | − | 0.0296611i | ||||||
\(452\) | 5.17996 | + | 2.99065i | 0.243645 | + | 0.140668i | ||||
\(453\) | −2.97224 | − | 0.869457i | −0.139648 | − | 0.0408506i | ||||
\(454\) | −19.1458 | + | 11.0538i | −0.898558 | + | 0.518783i | ||||
\(455\) | 29.2857 | − | 4.34137i | 1.37294 | − | 0.203527i | ||||
\(456\) | 7.99115 | + | 32.7949i | 0.374220 | + | 1.53576i | ||||
\(457\) | −5.67830 | + | 9.83511i | −0.265620 | + | 0.460067i | −0.967726 | − | 0.252005i | \(-0.918910\pi\) |
0.702106 | + | 0.712072i | \(0.252243\pi\) | |||||||
\(458\) | −16.9654 | −0.792743 | ||||||||
\(459\) | 14.1534 | + | 16.2339i | 0.660624 | + | 0.757735i | ||||
\(460\) | − | 0.919981i | − | 0.0428943i | ||||||
\(461\) | −19.4984 | + | 33.7721i | −0.908129 | + | 1.57293i | −0.0914676 | + | 0.995808i | \(0.529156\pi\) |
−0.816661 | + | 0.577117i | \(0.804178\pi\) | |||||||
\(462\) | −0.117487 | + | 0.849584i | −0.00546598 | + | 0.0395262i | ||||
\(463\) | −5.03443 | − | 8.71990i | −0.233970 | − | 0.405248i | 0.725003 | − | 0.688746i | \(-0.241838\pi\) |
−0.958973 | + | 0.283498i | \(0.908505\pi\) | |||||||
\(464\) | 9.90856 | − | 5.72071i | 0.459993 | − | 0.265577i | ||||
\(465\) | 0.178618 | − | 0.610605i | 0.00828321 | − | 0.0283161i | ||||
\(466\) | 10.1206 | − | 17.5294i | 0.468829 | − | 0.812035i | ||||
\(467\) | 3.59330 | 0.166278 | 0.0831389 | − | 0.996538i | \(-0.473505\pi\) | ||||
0.0831389 | + | 0.996538i | \(0.473505\pi\) | |||||||
\(468\) | −7.01403 | − | 0.319875i | −0.324224 | − | 0.0147862i | ||||
\(469\) | 3.26615 | + | 1.29103i | 0.150817 | + | 0.0596145i | ||||
\(470\) | −25.2630 | − | 14.5856i | −1.16530 | − | 0.672784i | ||||
\(471\) | −5.25370 | − | 5.49875i | −0.242078 | − | 0.253369i | ||||
\(472\) | 9.62592 | − | 5.55753i | 0.443069 | − | 0.255806i | ||||
\(473\) | 0.897761 | − | 0.518322i | 0.0412791 | − | 0.0238325i | ||||
\(474\) | 6.14056 | + | 6.42699i | 0.282045 | + | 0.295201i | ||||
\(475\) | 16.7581 | + | 9.67530i | 0.768915 | + | 0.443933i | ||||
\(476\) | 6.05361 | + | 2.39285i | 0.277467 | + | 0.109676i | ||||
\(477\) | −3.59144 | − | 6.93190i | −0.164441 | − | 0.317390i | ||||
\(478\) | 2.65059 | 0.121235 | ||||||||
\(479\) | 0.811090 | − | 1.40485i | 0.0370597 | − | 0.0641892i | −0.846901 | − | 0.531751i | \(-0.821534\pi\) |
0.883960 | + | 0.467562i | \(0.154868\pi\) | |||||||
\(480\) | −4.46264 | + | 15.2555i | −0.203691 | + | 0.696316i | ||||
\(481\) | 8.40183 | − | 4.85080i | 0.383090 | − | 0.221177i | ||||
\(482\) | −2.68033 | − | 4.64247i | −0.122086 | − | 0.211459i | ||||
\(483\) | 2.47907 | + | 0.342824i | 0.112801 | + | 0.0155990i | ||||
\(484\) | −3.25729 | + | 5.64180i | −0.148059 | + | 0.256445i | ||||
\(485\) | − | 7.15869i | − | 0.325060i | ||||||
\(486\) | −11.5012 | − | 14.4735i | −0.521706 | − | 0.656531i | ||||
\(487\) | 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 | ||||
\(489\) | −2.22888 | − | 9.14709i | −0.100793 | − | 0.413646i | ||||
\(490\) | 22.9429 | + | 5.35399i | 1.03646 | + | 0.241869i | ||||
\(491\) | 9.30632 | − | 5.37300i | 0.419988 | − | 0.242480i | −0.275084 | − | 0.961420i | \(-0.588706\pi\) |
0.695072 | + | 0.718940i | \(0.255372\pi\) | |||||||
\(492\) | 3.93852 | + | 1.15212i | 0.177562 | + | 0.0519417i | ||||
\(493\) | 16.6916 | + | 9.63688i | 0.751751 | + | 0.434023i | ||||
\(494\) | 29.6272i | 1.33299i | ||||||||
\(495\) | −0.618109 | − | 1.19302i | −0.0277819 | − | 0.0536223i | ||||
\(496\) | − | 0.318453i | − | 0.0142990i | ||||||
\(497\) | −0.673138 | − | 0.848308i | −0.0301944 | − | 0.0380518i | ||||
\(498\) | −9.15486 | − | 9.58188i | −0.410239 | − | 0.429374i | ||||
\(499\) | −8.46050 | − | 14.6540i | −0.378744 | − | 0.656004i | 0.612136 | − | 0.790753i | \(-0.290311\pi\) |
−0.990880 | + | 0.134749i | \(0.956977\pi\) | |||||||
\(500\) | −1.63901 | − | 2.83884i | −0.0732986 | − | 0.126957i | ||||
\(501\) | −13.1563 | + | 12.5700i | −0.587781 | + | 0.561586i | ||||
\(502\) | −21.7453 | − | 12.5546i | −0.970538 | − | 0.560341i | ||||
\(503\) | 33.9226 | 1.51253 | 0.756267 | − | 0.654263i | \(-0.227021\pi\) | ||||
0.756267 | + | 0.654263i | \(0.227021\pi\) | |||||||
\(504\) | −22.2716 | − | 9.99941i | −0.992055 | − | 0.445409i | ||||
\(505\) | 8.48968 | 0.377786 | ||||||||
\(506\) | 0.0885182 | + | 0.0511060i | 0.00393511 | + | 0.00227194i | ||||
\(507\) | −4.23358 | − | 1.23843i | −0.188020 | − | 0.0550008i | ||||
\(508\) | 3.70681 | + | 6.42038i | 0.164463 | + | 0.284858i | ||||
\(509\) | −5.06805 | − | 8.77812i | −0.224637 | − | 0.389083i | 0.731573 | − | 0.681763i | \(-0.238786\pi\) |
−0.956211 | + | 0.292680i | \(0.905453\pi\) | |||||||
\(510\) | 23.4754 | − | 5.72026i | 1.03951 | − | 0.253297i | ||||
\(511\) | −24.6889 | − | 31.1137i | −1.09217 | − | 1.37639i | ||||
\(512\) | 23.0923i | 1.02055i | ||||||||
\(513\) | 24.8157 | − | 21.6353i | 1.09564 | − | 0.955222i | ||||
\(514\) | 37.1201i | 1.63730i | ||||||||
\(515\) | −32.4341 | − | 18.7259i | −1.42922 | − | 0.825160i | ||||
\(516\) | 1.59880 | + | 6.56133i | 0.0703834 | + | 0.288847i | ||||
\(517\) | −1.18460 | + | 0.683930i | −0.0520987 | + | 0.0300792i | ||||
\(518\) | 7.63679 | − | 1.13209i | 0.335541 | − | 0.0497413i | ||||
\(519\) | −29.1898 | − | 8.53878i | −1.28129 | − | 0.374811i | ||||
\(520\) | −17.2089 | + | 29.8068i | −0.754662 | + | 1.30711i | ||||
\(521\) | 31.6986 | 1.38874 | 0.694370 | − | 0.719618i | \(-0.255683\pi\) | ||||
0.694370 | + | 0.719618i | \(0.255683\pi\) | |||||||
\(522\) | −13.9356 | − | 8.91601i | −0.609945 | − | 0.390243i | ||||
\(523\) | − | 8.09911i | − | 0.354149i | −0.984197 | − | 0.177075i | \(-0.943337\pi\) | ||
0.984197 | − | 0.177075i | \(-0.0566634\pi\) | |||||||
\(524\) | −2.98125 | + | 5.16367i | −0.130236 | + | 0.225576i | ||||
\(525\) | −12.9648 | + | 5.27150i | −0.565832 | + | 0.230067i | ||||
\(526\) | −3.95904 | − | 6.85726i | −0.172622 | − | 0.298991i | ||||
\(527\) | 0.464582 | − | 0.268227i | 0.0202375 | − | 0.0116841i | ||||
\(528\) | −0.464619 | − | 0.486291i | −0.0202200 | − | 0.0211631i | ||||
\(529\) | −11.3509 | + | 19.6603i | −0.493516 | + | 0.854795i | ||||
\(530\) | −8.75851 | −0.380446 | ||||||||
\(531\) | −9.13202 | − | 5.84268i | −0.396296 | − | 0.253551i | ||||
\(532\) | 3.65779 | − | 9.25372i | 0.158585 | − | 0.401200i | ||||
\(533\) | 13.6293 | + | 7.86887i | 0.590350 | + | 0.340839i | ||||
\(534\) | 2.91449 | − | 9.96316i | 0.126122 | − | 0.431148i | ||||
\(535\) | −48.0628 | + | 27.7490i | −2.07793 | + | 1.19970i | ||||
\(536\) | −3.53590 | + | 2.04145i | −0.152727 | + | 0.0881772i | ||||
\(537\) | 30.6327 | − | 7.46428i | 1.32190 | − | 0.322107i | ||||
\(538\) | −10.9472 | − | 6.32036i | −0.471967 | − | 0.272490i | ||||
\(539\) | 0.755323 | − | 0.806153i | 0.0325341 | − | 0.0347235i | ||||
\(540\) | 8.58998 | − | 1.68268i | 0.369654 | − | 0.0724110i | ||||
\(541\) | 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 | ||||
\(543\) | −11.1096 | + | 2.70709i | −0.476760 | + | 0.116172i | ||||
\(544\) | −11.6073 | + | 6.70145i | −0.497657 | + | 0.287322i | ||||
\(545\) | 18.7994 | + | 32.5614i | 0.805276 | + | 1.39478i | ||||
\(546\) | −16.9148 | − | 13.1552i | −0.723886 | − | 0.562990i | ||||
\(547\) | 13.1278 | − | 22.7380i | 0.561305 | − | 0.972209i | −0.436078 | − | 0.899909i | \(-0.643633\pi\) |
0.997383 | − | 0.0722999i | \(-0.0230339\pi\) | |||||||
\(548\) | 4.77324i | 0.203903i | ||||||||
\(549\) | 10.0864 | + | 0.459990i | 0.430477 | + | 0.0196319i | ||||
\(550\) | −0.571598 | −0.0243730 | ||||||||
\(551\) | 14.7312 | − | 25.5152i | 0.627571 | − | 1.08699i | ||||
\(552\) | −2.10363 | + | 2.00988i | −0.0895363 | + | 0.0855460i | ||||
\(553\) | −1.67892 | − | 11.3255i | −0.0713950 | − | 0.481611i | ||||
\(554\) | 27.2768 | − | 15.7482i | 1.15888 | − | 0.669079i | ||||
\(555\) | −8.74484 | + | 8.35512i | −0.371198 | + | 0.354655i | ||||
\(556\) | −9.71703 | − | 5.61013i | −0.412094 | − | 0.237923i | ||||
\(557\) | − | 27.2172i | − | 1.15323i | −0.817016 | − | 0.576615i | \(-0.804373\pi\) | ||
0.817016 | − | 0.576615i | \(-0.195627\pi\) | |||||||
\(558\) | −0.408852 | + | 0.211828i | −0.0173081 | + | 0.00896739i | ||||
\(559\) | 25.8998i | 1.09545i | ||||||||
\(560\) | −14.4722 | + | 11.4838i | −0.611561 | + | 0.485278i | ||||
\(561\) | 0.318097 | − | 1.08741i | 0.0134301 | − | 0.0459106i | ||||
\(562\) | 14.4466 | + | 25.0222i | 0.609393 | + | 1.05550i | ||||
\(563\) | −4.68017 | − | 8.10630i | −0.197246 | − | 0.341640i | 0.750389 | − | 0.660997i | \(-0.229866\pi\) |
−0.947634 | + | 0.319357i | \(0.896533\pi\) | |||||||
\(564\) | −2.10963 | − | 8.65772i | −0.0888315 | − | 0.364556i | ||||
\(565\) | −24.7660 | − | 14.2987i | −1.04191 | − | 0.601549i | ||||
\(566\) | 10.2609 | 0.431296 | ||||||||
\(567\) | 1.33331 | + | 23.7744i | 0.0559940 | + | 0.998431i | ||||
\(568\) | 1.25895 | 0.0528244 | ||||||||
\(569\) | −30.2424 | − | 17.4605i | −1.26783 | − | 0.731980i | −0.293251 | − | 0.956036i | \(-0.594737\pi\) |
−0.974576 | + | 0.224055i | \(0.928070\pi\) | |||||||
\(570\) | −8.74415 | − | 35.8851i | −0.366252 | − | 1.50306i | ||||
\(571\) | 0.735987 | + | 1.27477i | 0.0308001 | + | 0.0533473i | 0.881015 | − | 0.473089i | \(-0.156861\pi\) |
−0.850214 | + | 0.526436i | \(0.823528\pi\) | |||||||
\(572\) | 0.184680 | + | 0.319875i | 0.00772186 | + | 0.0133747i | ||||
\(573\) | −6.91025 | + | 23.6227i | −0.288680 | + | 0.986851i | ||||
\(574\) | 7.78454 | + | 9.81030i | 0.324920 | + | 0.409474i | ||||
\(575\) | 1.66791i | 0.0695567i | ||||||||
\(576\) | 23.3230 | − | 12.0838i | 0.971793 | − | 0.503490i | ||||
\(577\) | 18.6196i | 0.775146i | 0.921839 | + | 0.387573i | \(0.126686\pi\) | ||||
−0.921839 | + | 0.387573i | \(0.873314\pi\) | |||||||
\(578\) | 0.184828 | + | 0.106710i | 0.00768783 | + | 0.00443857i | ||||
\(579\) | 12.5287 | − | 11.9703i | 0.520674 | − | 0.497470i | ||||
\(580\) | 6.78380 | − | 3.91663i | 0.281682 | − | 0.162629i | ||||
\(581\) | 2.50307 | + | 16.8851i | 0.103845 | + | 0.700510i | ||||
\(582\) | −3.74630 | + | 3.57935i | −0.155289 | + | 0.148369i | ||||
\(583\) | −0.205346 | + | 0.355670i | −0.00850458 | + | 0.0147304i | ||||
\(584\) | 46.1750 | 1.91073 | ||||||||
\(585\) | 33.5349 | + | 1.52936i | 1.38650 | + | 0.0632313i | ||||
\(586\) | 10.4367i | 0.431136i | ||||||||
\(587\) | 9.28551 | − | 16.0830i | 0.383254 | − | 0.663816i | −0.608271 | − | 0.793729i | \(-0.708137\pi\) |
0.991525 | + | 0.129914i | \(0.0414700\pi\) | |||||||
\(588\) | 3.65901 | + | 6.19719i | 0.150895 | + | 0.255568i | ||||
\(589\) | −0.410019 | − | 0.710174i | −0.0168945 | − | 0.0292622i | ||||
\(590\) | −10.5330 | + | 6.08121i | −0.433636 | + | 0.250360i | ||||
\(591\) | −33.8273 | + | 8.24272i | −1.39147 | + | 0.339060i | ||||
\(592\) | −3.02704 | + | 5.24299i | −0.124411 | + | 0.215486i | ||||
\(593\) | −30.9228 | −1.26985 | −0.634924 | − | 0.772574i | \(-0.718969\pi\) | ||||
−0.634924 | + | 0.772574i | \(0.718969\pi\) | |||||||
\(594\) | −0.315280 | + | 0.919981i | −0.0129361 | + | 0.0377473i | ||||
\(595\) | −28.9430 | − | 11.4405i | −1.18655 | − | 0.469015i | ||||
\(596\) | −9.97588 | − | 5.75958i | −0.408628 | − | 0.235922i | ||||
\(597\) | −21.7719 | + | 5.30517i | −0.891064 | + | 0.217126i | ||||
\(598\) | −2.21156 | + | 1.27685i | −0.0904375 | + | 0.0522141i | ||||
\(599\) | 11.8741 | − | 6.85553i | 0.485164 | − | 0.280109i | −0.237402 | − | 0.971411i | \(-0.576296\pi\) |
0.722566 | + | 0.691302i | \(0.242963\pi\) | |||||||
\(600\) | 4.56809 | − | 15.6160i | 0.186491 | − | 0.637520i | ||||
\(601\) | −17.1065 | − | 9.87644i | −0.697788 | − | 0.402868i | 0.108735 | − | 0.994071i | \(-0.465320\pi\) |
−0.806523 | + | 0.591203i | \(0.798653\pi\) | |||||||
\(602\) | −7.57638 | + | 19.1672i | −0.308790 | + | 0.781198i | ||||
\(603\) | 3.35447 | + | 2.14620i | 0.136605 | + | 0.0873999i | ||||
\(604\) | −1.06128 | −0.0431829 | ||||||||
\(605\) | 15.5735 | − | 26.9741i | 0.633153 | − | 1.09665i | ||||
\(606\) | −4.24484 | − | 4.44284i | −0.172435 | − | 0.180478i | ||||
\(607\) | −15.5219 | + | 8.96157i | −0.630014 | + | 0.363739i | −0.780757 | − | 0.624834i | \(-0.785167\pi\) |
0.150744 | + | 0.988573i | \(0.451833\pi\) | |||||||
\(608\) | 10.2440 | + | 17.7432i | 0.415450 | + | 0.719581i | ||||
\(609\) | 8.02618 | + | 19.7398i | 0.325237 | + | 0.799896i | ||||
\(610\) | 5.66372 | − | 9.80984i | 0.229317 | − | 0.397189i | ||||
\(611\) | − | 34.1750i | − | 1.38257i | ||||||
\(612\) | 6.21731 | + | 3.97784i | 0.251320 | + | 0.160795i | ||||
\(613\) | −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 | ||||
\(615\) | −18.8305 | − | 5.50843i | −0.759321 | − | 0.222121i | ||||
\(616\) | 0.188326 | + | 1.27039i | 0.00758786 | + | 0.0511856i | ||||
\(617\) | 19.9686 | − | 11.5289i | 0.803904 | − | 0.464134i | −0.0409302 | − | 0.999162i | \(-0.513032\pi\) |
0.844835 | + | 0.535028i | \(0.179699\pi\) | |||||||
\(618\) | 6.41741 | + | 26.3364i | 0.258146 | + | 1.05941i | ||||
\(619\) | 1.67850 | + | 0.969082i | 0.0674646 | + | 0.0389507i | 0.533353 | − | 0.845893i | \(-0.320932\pi\) |
−0.465888 | + | 0.884844i | \(0.654265\pi\) | |||||||
\(620\) | − | 0.218026i | − | 0.00875613i | ||||||
\(621\) | 2.68448 | + | 0.919981i | 0.107725 | + | 0.0369176i | ||||
\(622\) | 19.4558i | 0.780106i | ||||||||
\(623\) | −10.4739 | + | 8.31113i | −0.419629 | + | 0.332978i | ||||
\(624\) | 16.3260 | − | 3.97816i | 0.653562 | − | 0.159254i | ||||
\(625\) | 15.4715 | + | 26.7974i | 0.618860 | + | 1.07190i | ||||
\(626\) | −4.86485 | − | 8.42617i | −0.194439 | − | 0.336778i | ||||
\(627\) | −1.66225 | − | 0.486253i | −0.0663840 | − | 0.0194191i | ||||
\(628\) | −2.25712 | − | 1.30315i | −0.0900687 | − | 0.0520012i | ||||
\(629\) | −10.1985 | −0.406640 | ||||||||
\(630\) | 24.3702 | + | 10.9417i | 0.970933 | + | 0.435926i | ||||
\(631\) | 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 | ||||
\(633\) | −11.2890 | + | 10.7859i | −0.448698 | + | 0.428702i | ||||
\(634\) | 13.5862 | + | 23.5320i | 0.539576 | + | 0.934574i | ||||
\(635\) | −17.7227 | − | 30.6966i | −0.703303 | − | 1.21816i | ||||
\(636\) | −1.84826 | − | 1.93447i | −0.0732884 | − | 0.0767069i | ||||
\(637\) | 8.00715 | + | 26.4135i | 0.317255 | + | 1.04654i | ||||
\(638\) | 0.870293i | 0.0344552i | ||||||||
\(639\) | −0.564880 | − | 1.09028i | −0.0223463 | − | 0.0431310i | ||||
\(640\) | − | 11.1151i | − | 0.439361i | ||||||
\(641\) | 21.5093 | + | 12.4184i | 0.849568 | + | 0.490498i | 0.860505 | − | 0.509442i | \(-0.170148\pi\) |
−0.0109373 | + | 0.999940i | \(0.503482\pi\) | |||||||
\(642\) | 38.5531 | + | 11.2778i | 1.52157 | + | 0.445099i | ||||
\(643\) | 37.9247 | − | 21.8959i | 1.49561 | − | 0.863489i | 0.495619 | − | 0.868540i | \(-0.334941\pi\) |
0.999987 | + | 0.00505169i | \(0.00160801\pi\) | |||||||
\(644\) | 0.848397 | − | 0.125768i | 0.0334315 | − | 0.00495596i | ||||
\(645\) | −7.64406 | − | 31.3705i | −0.300985 | − | 1.23521i | ||||
\(646\) | 15.5723 | − | 26.9720i | 0.612683 | − | 1.06120i | ||||
\(647\) | 29.3713 | 1.15471 | 0.577353 | − | 0.816494i | \(-0.304086\pi\) | ||||
0.577353 | + | 0.816494i | \(0.304086\pi\) | |||||||
\(648\) | −22.6141 | − | 15.9657i | −0.888366 | − | 0.627192i | ||||
\(649\) | 0.570305i | 0.0223864i | ||||||||
\(650\) | 7.14048 | − | 12.3677i | 0.280073 | − | 0.485100i | ||||
\(651\) | 0.587513 | + | 0.0812456i | 0.0230264 | + | 0.00318427i | ||||
\(652\) | −1.61323 | − | 2.79420i | −0.0631789 | − | 0.109429i | ||||
\(653\) | −28.0816 | + | 16.2129i | −1.09892 | + | 0.634461i | −0.935937 | − | 0.352168i | \(-0.885444\pi\) |
−0.162981 | + | 0.986629i | \(0.552111\pi\) | |||||||
\(654\) | 7.64044 | − | 26.1188i | 0.298765 | − | 1.02133i | ||||
\(655\) | 14.2537 | − | 24.6881i | 0.556938 | − | 0.964645i | ||||
\(656\) | −9.82082 | −0.383438 | ||||||||
\(657\) | −20.7183 | − | 39.9887i | −0.808298 | − | 1.56011i | ||||
\(658\) | 9.99707 | − | 25.2913i | 0.389727 | − | 0.985957i | ||||
\(659\) | −0.203016 | − | 0.117211i | −0.00790837 | − | 0.00456590i | 0.496041 | − | 0.868299i | \(-0.334787\pi\) |
−0.503949 | + | 0.863733i | \(0.668120\pi\) | |||||||
\(660\) | −0.318097 | − | 0.332935i | −0.0123819 | − | 0.0129595i | ||||
\(661\) | −3.05138 | + | 1.76171i | −0.118685 | + | 0.0685227i | −0.558167 | − | 0.829728i | \(-0.688495\pi\) |
0.439482 | + | 0.898251i | \(0.355162\pi\) | |||||||
\(662\) | −19.7841 | + | 11.4224i | −0.768933 | + | 0.443943i | ||||
\(663\) | 19.5547 | + | 20.4668i | 0.759441 | + | 0.794864i | ||||
\(664\) | −17.1855 | − | 9.92204i | −0.666926 | − | 0.385050i | ||||
\(665\) | −17.4883 | + | 44.2431i | −0.678167 | + | 1.71567i | ||||
\(666\) | 8.74484 | + | 0.398809i | 0.338856 | + | 0.0154535i | ||||
\(667\) | 2.53950 | 0.0983296 | ||||||||
\(668\) | −3.11791 | + | 5.40038i | −0.120636 | + | 0.208947i | ||||
\(669\) | −1.09737 | + | 3.75136i | −0.0424269 | + | 0.145036i | ||||
\(670\) | 3.86908 | − | 2.23382i | 0.149476 | − | 0.0862999i | ||||
\(671\) | −0.265576 | − | 0.459990i | −0.0102524 | − | 0.0177577i | ||||
\(672\) | −14.6786 | − | 2.02986i | −0.566238 | − | 0.0783036i | ||||
\(673\) | 9.16585 | − | 15.8757i | 0.353318 | − | 0.611964i | −0.633511 | − | 0.773734i | \(-0.718387\pi\) |
0.986829 | + | 0.161770i | \(0.0517202\pi\) | |||||||
\(674\) | − | 5.38004i | − | 0.207231i | ||||||
\(675\) | −15.5735 | + | 3.05067i | −0.599424 | + | 0.117420i | ||||
\(676\) | −1.51166 | −0.0581409 | ||||||||
\(677\) | −16.9260 | + | 29.3166i | −0.650517 | + | 1.12673i | 0.332480 | + | 0.943110i | \(0.392115\pi\) |
−0.982998 | + | 0.183619i | \(0.941219\pi\) | |||||||
\(678\) | 4.90019 | + | 20.1099i | 0.188191 | + | 0.772317i | ||||
\(679\) | 6.60168 | − | 0.978646i | 0.253349 | − | 0.0375570i | ||||
\(680\) | 31.3334 | − | 18.0903i | 1.20158 | − | 0.693732i | ||||
\(681\) | 30.9897 | + | 9.06530i | 1.18753 | + | 0.347383i | ||||
\(682\) | 0.0209779 | + | 0.0121116i | 0.000803285 | + | 0.000463777i | ||||
\(683\) | 28.0284i | 1.07248i | 0.844066 | + | 0.536239i | \(0.180156\pi\) | ||||
−0.844066 | + | 0.536239i | \(0.819844\pi\) | |||||||
\(684\) | 6.08065 | − | 9.50396i | 0.232499 | − | 0.363393i | ||||
\(685\) | − | 22.8214i | − | 0.871962i | ||||||
\(686\) | −1.80093 | + | 21.8897i | −0.0687599 | + | 0.835753i | ||||
\(687\) | 17.1170 | + | 17.9154i | 0.653055 | + | 0.683517i | ||||
\(688\) | −8.08113 | − | 13.9969i | −0.308090 | − | 0.533628i | ||||
\(689\) | −5.13043 | − | 8.88616i | −0.195454 | − | 0.338536i | ||||
\(690\) | 2.30185 | − | 2.19927i | 0.0876300 | − | 0.0837247i | ||||
\(691\) | 42.7393 | + | 24.6756i | 1.62588 | + | 0.938703i | 0.985304 | + | 0.170809i | \(0.0546381\pi\) |
0.640577 | + | 0.767894i | \(0.278695\pi\) | |||||||
\(692\) | −10.4226 | −0.396210 | ||||||||
\(693\) | 1.01569 | − | 0.733109i | 0.0385830 | − | 0.0278485i | ||||
\(694\) | 10.3566 | 0.393131 | ||||||||
\(695\) | 46.4583 | + | 26.8227i | 1.76226 | + | 1.01744i | ||||
\(696\) | −23.7763 | − | 6.95519i | −0.901238 | − | 0.263636i | ||||
\(697\) | −8.27188 | − | 14.3273i | −0.313320 | − | 0.542686i | ||||
\(698\) | 5.36066 | + | 9.28494i | 0.202904 | + | 0.351440i | ||||
\(699\) | −28.7220 | + | 6.99871i | −1.08637 | + | 0.264716i | ||||
\(700\) | −3.75717 | + | 2.98134i | −0.142008 | + | 0.112684i | ||||
\(701\) | − | 26.3889i | − | 0.996696i | −0.866977 | − | 0.498348i | \(-0.833940\pi\) | ||
0.866977 | − | 0.498348i | \(-0.166060\pi\) | |||||||
\(702\) | −15.9671 | − | 18.3142i | −0.602640 | − | 0.691227i | ||||
\(703\) | 15.5897i | 0.587976i | ||||||||
\(704\) | −1.19669 | − | 0.690907i | −0.0451018 | − | 0.0260396i | ||||
\(705\) | 10.0864 | + | 41.3936i | 0.379875 | + | 1.55897i | ||||
\(706\) | 1.24867 | − | 0.720920i | 0.0469943 | − | 0.0271322i | ||||
\(707\) | 1.16060 | + | 7.82911i | 0.0436489 | + | 0.294444i | ||||
\(708\) | −3.56586 | − | 1.04311i | −0.134013 | − | 0.0392024i | ||||
\(709\) | 5.35661 | − | 9.27792i | 0.201172 | − | 0.348440i | −0.747735 | − | 0.663998i | \(-0.768858\pi\) |
0.948906 | + | 0.315558i | \(0.102192\pi\) | |||||||
\(710\) | −1.37758 | −0.0516998 | ||||||||
\(711\) | 0.591443 | − | 12.9688i | 0.0221809 | − | 0.486368i | ||||
\(712\) | − | 15.5441i | − | 0.582539i | ||||||
\(713\) | 0.0353413 | − | 0.0612130i | 0.00132354 | − | 0.00229244i | ||||
\(714\) | 8.48442 | + | 20.8668i | 0.317522 | + | 0.780919i | ||||
\(715\) | −0.882977 | − | 1.52936i | −0.0330215 | − | 0.0571949i | ||||
\(716\) | 9.35748 | − | 5.40254i | 0.349705 | − | 0.201902i | ||||
\(717\) | −2.67427 | − | 2.79901i | −0.0998724 | − | 0.104531i | ||||
\(718\) | −10.2624 | + | 17.7749i | −0.382988 | + | 0.663354i | ||||
\(719\) | −17.5794 | −0.655601 | −0.327801 | − | 0.944747i | \(-0.606307\pi\) | ||||
−0.327801 | + | 0.944747i | \(0.606307\pi\) | |||||||
\(720\) | −18.6003 | + | 9.63688i | −0.693192 | + | 0.359145i | ||||
\(721\) | 12.8348 | − | 32.4704i | 0.477994 | − | 1.20926i | ||||
\(722\) | −21.7163 | − | 12.5379i | −0.808198 | − | 0.466614i | ||||
\(723\) | −2.19815 | + | 7.51437i | −0.0817500 | + | 0.279462i | ||||
\(724\) | −3.39370 | + | 1.95935i | −0.126126 | + | 0.0728188i | ||||
\(725\) | −12.2989 | + | 7.10079i | −0.456771 | + | 0.263717i | ||||
\(726\) | −21.9029 | + | 5.33709i | −0.812893 | + | 0.198078i | ||||
\(727\) | 43.4695 | + | 25.0971i | 1.61220 | + | 0.930802i | 0.988860 | + | 0.148847i | \(0.0475563\pi\) |
0.623336 | + | 0.781954i | \(0.285777\pi\) | |||||||
\(728\) | −29.8401 | − | 11.7951i | −1.10595 | − | 0.437156i | ||||
\(729\) | −3.67996 | + | 26.7480i | −0.136295 | + | 0.990668i | ||||
\(730\) | −50.5261 | −1.87005 | ||||||||
\(731\) | 13.6132 | − | 23.5787i | 0.503501 | − | 0.872089i | ||||
\(732\) | 3.36186 | − | 0.819187i | 0.124258 | − | 0.0302780i | ||||
\(733\) | 34.5617 | − | 19.9542i | 1.27656 | − | 0.737025i | 0.300350 | − | 0.953829i | \(-0.402897\pi\) |
0.976215 | + | 0.216804i | \(0.0695633\pi\) | |||||||
\(734\) | −16.7269 | − | 28.9719i | −0.617402 | − | 1.06937i | ||||
\(735\) | −17.4941 | − | 29.6295i | −0.645281 | − | 1.09290i | ||||
\(736\) | −0.882977 | + | 1.52936i | −0.0325470 | + | 0.0563730i | ||||
\(737\) | − | 0.209490i | − | 0.00771668i | ||||||
\(738\) | 6.53259 | + | 12.6087i | 0.240468 | + | 0.464131i | ||||
\(739\) | 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 | ||||
\(741\) | 31.2861 | − | 29.8918i | 1.14932 | − | 1.09810i | ||||
\(742\) | −1.19735 | − | 8.07702i | −0.0439562 | − | 0.296517i | ||||
\(743\) | −39.5861 | + | 22.8550i | −1.45227 | + | 0.838470i | −0.998610 | − | 0.0527041i | \(-0.983216\pi\) |
−0.453662 | + | 0.891174i | \(0.649883\pi\) | |||||||
\(744\) | −0.498537 | + | 0.476320i | −0.0182773 | + | 0.0174627i | ||||
\(745\) | 47.6959 | + | 27.5372i | 1.74744 | + | 1.00889i | ||||
\(746\) | − | 33.5056i | − | 1.22673i | ||||||
\(747\) | −0.881773 | + | 19.3350i | −0.0322624 | + | 0.707430i | ||||
\(748\) | − | 0.388278i | − | 0.0141968i | ||||||
\(749\) | −32.1604 | − | 40.5295i | −1.17512 | − | 1.48092i | ||||
\(750\) | 3.18483 | − | 10.8873i | 0.116293 | − | 0.397549i | ||||
\(751\) | −6.07753 | − | 10.5266i | −0.221772 | − | 0.384121i | 0.733574 | − | 0.679610i | \(-0.237851\pi\) |
−0.955346 | + | 0.295489i | \(0.904517\pi\) | |||||||
\(752\) | 10.6631 | + | 18.4690i | 0.388843 | + | 0.673496i | ||||
\(753\) | 8.68190 | + | 35.6297i | 0.316386 | + | 1.29842i | ||||
\(754\) | −18.8305 | − | 10.8718i | −0.685768 | − | 0.395928i | ||||
\(755\) | 5.07411 | 0.184666 | ||||||||
\(756\) | 2.72606 | + | 7.69156i | 0.0991460 | + | 0.279739i | ||||
\(757\) | −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 | ||||
\(759\) | −0.0353413 | − | 0.145037i | −0.00128281 | − | 0.00526452i | ||||
\(760\) | −27.6534 | − | 47.8971i | −1.00309 | − | 1.73741i | ||||
\(761\) | −19.4175 | − | 33.6320i | −0.703882 | − | 1.21916i | −0.967093 | − | 0.254422i | \(-0.918115\pi\) |
0.263211 | − | 0.964738i | \(-0.415218\pi\) | |||||||
\(762\) | −7.20287 | + | 24.6230i | −0.260932 | + | 0.891996i | ||||
\(763\) | −27.4578 | + | 21.7880i | −0.994040 | + | 0.788777i | ||||
\(764\) | 8.43483i | 0.305161i | ||||||||
\(765\) | −29.7257 | − | 19.0185i | −1.07473 | − | 0.687616i | ||||
\(766\) | 29.3949i | 1.06208i | ||||||||
\(767\) | −12.3397 | − | 7.12432i | −0.445560 | − | 0.257244i | ||||
\(768\) | 16.1137 | − | 15.3956i | 0.581452 | − | 0.555539i | ||||
\(769\) | −9.42879 | + | 5.44371i | −0.340011 | + | 0.196305i | −0.660277 | − | 0.751022i | \(-0.729561\pi\) |
0.320266 | + | 0.947328i | \(0.396228\pi\) | |||||||
\(770\) | −0.206072 | − | 1.39010i | −0.00742630 | − | 0.0500958i | ||||
\(771\) | 39.1986 | − | 37.4517i | 1.41170 | − | 1.34879i | ||||
\(772\) | 2.96916 | − | 5.14274i | 0.106863 | − | 0.185091i | ||||
\(773\) | −37.3337 | −1.34280 | −0.671400 | − | 0.741096i | \(-0.734307\pi\) | ||||
−0.671400 | + | 0.741096i | \(0.734307\pi\) | |||||||
\(774\) | −12.5948 | + | 19.6856i | −0.452712 | + | 0.707583i | ||||
\(775\) | 0.395277i | 0.0141988i | ||||||||
\(776\) | −3.87930 | + | 6.71914i | −0.139259 | + | 0.241203i | ||||
\(777\) | −8.90050 | − | 6.92220i | −0.319304 | − | 0.248333i | ||||
\(778\) | 3.03803 | + | 5.26203i | 0.108919 | + | 0.188653i | ||||
\(779\) | −21.9012 | + | 12.6446i | −0.784691 | + | 0.453041i | ||||
\(780\) | 11.1774 | − | 2.72361i | 0.400216 | − | 0.0975208i | ||||
\(781\) | −0.0322979 | + | 0.0559416i | −0.00115571 | + | 0.00200175i | ||||
\(782\) | 2.68448 | 0.0959969 | ||||||||
\(783\) | 4.64483 | + | 23.7116i | 0.165993 | + | 0.847383i | ||||
\(784\) | −12.5687 | − | 11.7762i | −0.448881 | − | 0.420578i | ||||
\(785\) | 10.7915 | + | 6.23049i | 0.385166 | + | 0.222376i | ||||
\(786\) | −20.0467 | + | 4.88479i | −0.715042 | + | 0.174235i | ||||
\(787\) | −15.4554 | + | 8.92315i | −0.550924 | + | 0.318076i | −0.749495 | − | 0.662011i | \(-0.769703\pi\) |
0.198571 | + | 0.980087i | \(0.436370\pi\) | |||||||
\(788\) | −10.3334 | + | 5.96597i | −0.368111 | + | 0.212529i | ||||
\(789\) | −3.24682 | + | 11.0993i | −0.115590 | + | 0.395144i | ||||
\(790\) | −12.6132 | − | 7.28225i | −0.448759 | − | 0.259091i | ||||
\(791\) | 9.80039 | − | 24.7937i | 0.348462 | − | 0.881562i | ||||
\(792\) | −0.0663426 | + | 1.45472i | −0.00235738 | + | 0.0516913i | ||||
\(793\) | 13.2704 | 0.471246 | ||||||||
\(794\) | 1.13905 | − | 1.97289i | 0.0404233 | − | 0.0700151i | ||||
\(795\) | 8.83676 | + | 9.24895i | 0.313408 | + | 0.328026i | ||||
\(796\) | −6.65074 | + | 3.83980i | −0.235729 | + | 0.136098i | ||||
\(797\) | 5.74854 | + | 9.95676i | 0.203624 | + | 0.352687i | 0.949693 | − | 0.313181i | \(-0.101395\pi\) |
−0.746070 | + | 0.665868i | \(0.768061\pi\) | |||||||
\(798\) | 31.8975 | − | 12.9695i | 1.12916 | − | 0.459117i | ||||
\(799\) | −17.9626 | + | 31.1122i | −0.635473 | + | 1.10067i | ||||
\(800\) | − | 9.87572i | − | 0.349159i | ||||||
\(801\) | −13.4616 | + | 6.97449i | −0.475641 | + | 0.246431i | ||||
\(802\) | −17.0642 | −0.602558 | ||||||||
\(803\) | −1.18460 | + | 2.05179i | −0.0418037 | + | 0.0724061i | ||||
\(804\) | 1.30985 | + | 0.383166i | 0.0461949 | + | 0.0135132i | ||||
\(805\) | −4.05629 | + | 0.601312i | −0.142965 | + | 0.0211935i | ||||
\(806\) | −0.524117 | + | 0.302599i | −0.0184612 | + | 0.0106586i | ||||
\(807\) | 4.37072 | + | 17.9370i | 0.153857 | + | 0.631413i | ||||
\(808\) | −7.96840 | − | 4.60056i | −0.280327 | − | 0.161847i | ||||
\(809\) | 13.1945i | 0.463893i | 0.972729 | + | 0.231946i | \(0.0745094\pi\) | ||||
−0.972729 | + | 0.231946i | \(0.925491\pi\) | |||||||
\(810\) | 24.7450 | + | 17.4701i | 0.869451 | + | 0.613838i | ||||
\(811\) | 46.5800i | 1.63565i | 0.575469 | + | 0.817823i | \(0.304819\pi\) | ||||
−0.575469 | + | 0.817823i | \(0.695181\pi\) | |||||||
\(812\) | 4.53927 | + | 5.72052i | 0.159297 | + | 0.200751i | ||||
\(813\) | 12.5285 | − | 3.05283i | 0.439394 | − | 0.107067i | ||||
\(814\) | −0.230252 | − | 0.398809i | −0.00807034 | − | 0.0139782i | ||||
\(815\) | 7.71304 | + | 13.3594i | 0.270176 | + | 0.467958i | ||||
\(816\) | −16.9538 | − | 4.95943i | −0.593501 | − | 0.173615i | ||||
\(817\) | −36.0431 | − | 20.8095i | −1.26099 | − | 0.728031i | ||||
\(818\) | 11.5341 | 0.403280 | ||||||||
\(819\) | 3.17411 | + | 31.1347i | 0.110912 | + | 1.08793i | ||||
\(820\) | −6.72373 | −0.234803 | ||||||||
\(821\) | 34.3623 | + | 19.8391i | 1.19925 | + | 0.692390i | 0.960389 | − | 0.278663i | \(-0.0898913\pi\) |
0.238865 | + | 0.971053i | \(0.423225\pi\) | |||||||
\(822\) | −11.9430 | + | 11.4107i | −0.416558 | + | 0.397994i | ||||
\(823\) | 19.6156 | + | 33.9751i | 0.683755 | + | 1.18430i | 0.973826 | + | 0.227294i | \(0.0729878\pi\) |
−0.290071 | + | 0.957005i | \(0.593679\pi\) | |||||||
\(824\) | 20.2951 | + | 35.1521i | 0.707013 | + | 1.22458i | ||||
\(825\) | 0.576705 | + | 0.603605i | 0.0200783 | + | 0.0210148i | ||||
\(826\) | −7.04797 | − | 8.88206i | −0.245230 | − | 0.309046i | ||||
\(827\) | 21.0827i | 0.733118i | 0.930395 | + | 0.366559i | \(0.119464\pi\) | ||||
−0.930395 | + | 0.366559i | \(0.880536\pi\) | |||||||
\(828\) | 0.971495 | + | 0.0443051i | 0.0337618 | + | 0.00153971i | ||||
\(829\) | − | 13.3261i | − | 0.462834i | −0.972855 | − | 0.231417i | \(-0.925664\pi\) | ||
0.972855 | − | 0.231417i | \(-0.0743361\pi\) | |||||||
\(830\) | 18.8049 | + | 10.8570i | 0.652726 | + | 0.376852i | ||||
\(831\) | −44.1505 | − | 12.9152i | −1.53156 | − | 0.448023i | ||||
\(832\) | 29.8983 | − | 17.2618i | 1.03654 | − | 0.598446i | ||||
\(833\) | 6.59361 | − | 28.2550i | 0.228455 | − | 0.978976i | ||||
\(834\) | −9.19222 | − | 37.7240i | −0.318301 | − | 1.30627i | ||||
\(835\) | 14.9071 | − | 25.8198i | 0.515881 | − | 0.893533i | ||||
\(836\) | −0.593532 | −0.0205277 | ||||||||
\(837\) | 0.636194 | + | 0.218026i | 0.0219901 | + | 0.00753607i | ||||
\(838\) | − | 35.4621i | − | 1.22502i | ||||||
\(839\) | 8.39768 | − | 14.5452i | 0.289920 | − | 0.502156i | −0.683870 | − | 0.729604i | \(-0.739705\pi\) |
0.973790 | + | 0.227447i | \(0.0730379\pi\) | |||||||
\(840\) | 39.6243 | + | 5.47954i | 1.36717 | + | 0.189062i | ||||
\(841\) | −3.68862 | − | 6.38888i | −0.127194 | − | 0.220306i | ||||
\(842\) | −25.7690 | + | 14.8777i | −0.888057 | + | 0.512720i | ||||
\(843\) | 11.8477 | − | 40.5013i | 0.408056 | − | 1.39494i | ||||
\(844\) | −2.67538 | + | 4.63389i | −0.0920903 | + | 0.159505i | ||||
\(845\) | 7.22744 | 0.248632 | ||||||||
\(846\) | 16.6190 | − | 25.9752i | 0.571372 | − | 0.893046i | ||||
\(847\) | 27.0043 | + | 10.6742i | 0.927878 | + | 0.366769i | ||||
\(848\) | 5.54523 | + | 3.20154i | 0.190424 | + | 0.109941i | ||||
\(849\) | −10.3525 | − | 10.8354i | −0.355298 | − | 0.371871i | ||||
\(850\) | −13.0011 | + | 7.50619i | −0.445934 | + | 0.257460i | ||||
\(851\) | −1.16372 | + | 0.671871i | −0.0398916 | + | 0.0230315i | ||||
\(852\) | −0.290704 | − | 0.304264i | −0.00995936 | − | 0.0104239i | ||||
\(853\) | −35.5011 | − | 20.4966i | −1.21554 | − | 0.701790i | −0.251576 | − | 0.967838i | \(-0.580949\pi\) |
−0.963960 | + | 0.266048i | \(0.914282\pi\) | |||||||
\(854\) | 9.82082 | + | 3.88195i | 0.336061 | + | 0.132837i | ||||
\(855\) | −29.0723 | + | 45.4395i | −0.994251 | + | 1.55400i | ||||
\(856\) | 60.1488 | 2.05584 | ||||||||
\(857\) | 20.8718 | − | 36.1510i | 0.712967 | − | 1.23489i | −0.250772 | − | 0.968046i | \(-0.580684\pi\) |
0.963739 | − | 0.266848i | \(-0.0859822\pi\) | |||||||
\(858\) | −0.358860 | + | 1.22676i | −0.0122513 | + | 0.0418810i | ||||
\(859\) | 24.0479 | − | 13.8841i | 0.820505 | − | 0.473719i | −0.0300858 | − | 0.999547i | \(-0.509578\pi\) |
0.850590 | + | 0.525829i | \(0.176245\pi\) | |||||||
\(860\) | −5.53267 | − | 9.58286i | −0.188662 | − | 0.326773i | ||||
\(861\) | 2.50555 | − | 18.1184i | 0.0853888 | − | 0.617473i | ||||
\(862\) | −3.78940 | + | 6.56343i | −0.129067 | + | 0.223551i | ||||
\(863\) | − | 45.6090i | − | 1.55255i | −0.630396 | − | 0.776274i | \(-0.717107\pi\) | ||
0.630396 | − | 0.776274i | \(-0.282893\pi\) | |||||||
\(864\) | −15.8948 | − | 5.44721i | −0.540754 | − | 0.185318i | ||||
\(865\) | 49.8319 | 1.69434 | ||||||||
\(866\) | 19.6728 | − | 34.0743i | 0.668510 | − | 1.15789i | ||||
\(867\) | −0.0737935 | − | 0.302841i | −0.00250616 | − | 0.0102850i | ||||
\(868\) | 0.201061 | − | 0.0298057i | 0.00682447 | − | 0.00101167i | ||||
\(869\) | −0.591443 | + | 0.341470i | −0.0200633 | + | 0.0115836i | ||||
\(870\) | 26.0167 | + | 7.61058i | 0.882050 | + | 0.258023i | ||||
\(871\) | 4.53275 | + | 2.61698i | 0.153586 | + | 0.0886731i | ||||
\(872\) | − | 40.7495i | − | 1.37995i | ||||||
\(873\) | 7.55955 | + | 0.344754i | 0.255852 | + | 0.0116681i | ||||
\(874\) | − | 4.10358i | − | 0.138806i | ||||||
\(875\) | −11.4455 | + | 9.08206i | −0.386927 | + | 0.307030i | ||||
\(876\) | −10.6623 | − | 11.1596i | −0.360244 | − | 0.377048i | ||||
\(877\) | −8.84368 | − | 15.3177i | −0.298630 | − | 0.517242i | 0.677193 | − | 0.735805i | \(-0.263196\pi\) |
−0.975823 | + | 0.218564i | \(0.929863\pi\) | |||||||
\(878\) | 5.01834 | + | 8.69203i | 0.169361 | + | 0.293342i | ||||
\(879\) | 11.0211 | − | 10.5299i | 0.371733 | − | 0.355166i | ||||
\(880\) | 0.954367 | + | 0.551004i | 0.0321717 | + | 0.0185743i | ||||
\(881\) | −11.6169 | −0.391384 | −0.195692 | − | 0.980665i | \(-0.562695\pi\) | ||||
−0.195692 | + | 0.980665i | \(0.562695\pi\) | |||||||
\(882\) | −6.75870 | + | 23.9698i | −0.227577 | + | 0.807105i | ||||
\(883\) | −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 | ||||
\(885\) | 17.0488 | + | 4.98722i | 0.573089 | + | 0.167644i | ||||
\(886\) | 11.0292 | + | 19.1031i | 0.370532 | + | 0.641781i | ||||
\(887\) | 12.2751 | + | 21.2610i | 0.412156 | + | 0.713876i | 0.995125 | − | 0.0986188i | \(-0.0314424\pi\) |
−0.582969 | + | 0.812494i | \(0.698109\pi\) | |||||||
\(888\) | 12.7355 | − | 3.10327i | 0.427376 | − | 0.104139i | ||||
\(889\) | 25.8853 | − | 20.5401i | 0.868165 | − | 0.688894i | ||||
\(890\) | 17.0088i | 0.570136i | ||||||||
\(891\) | 1.28959 | − | 0.595265i | 0.0432030 | − | 0.0199421i | ||||
\(892\) | 1.33948i | 0.0448492i | ||||||||
\(893\) | 47.5590 | + | 27.4582i | 1.59150 | + | 0.918854i | ||||
\(894\) | −9.43709 | − | 38.7289i | −0.315624 | − | 1.29529i | ||||
\(895\) | −44.7392 | + | 25.8302i | −1.49547 | + | 0.863408i | ||||
\(896\) | 10.2502 | − | 1.51951i | 0.342435 | − | 0.0507633i | ||||
\(897\) | 3.57966 | + | 1.04715i | 0.119521 | + | 0.0349632i | ||||
\(898\) | −12.0431 | + | 20.8593i | −0.401883 | + | 0.696082i | ||||
\(899\) | 0.601834 | 0.0200723 | ||||||||
\(900\) | −4.82889 | + | 2.50187i | −0.160963 | + | 0.0833955i | ||||
\(901\) | 10.7864i | 0.359346i | ||||||||
\(902\) | 0.373511 | − | 0.646940i | 0.0124366 | − | 0.0215407i | ||||
\(903\) | 27.8846 | − | 11.3379i | 0.927941 | − | 0.377300i | ||||
\(904\) | 15.4969 | + | 26.8414i | 0.515419 | + | 0.892731i | ||||
\(905\) | 16.2257 | − | 9.36790i | 0.539360 | − | 0.311399i | ||||
\(906\) | −2.53705 | − | 2.65539i | −0.0842880 | − | 0.0882196i | ||||
\(907\) | −18.4502 | + | 31.9567i | −0.612628 | + | 1.06110i | 0.378167 | + | 0.925737i | \(0.376554\pi\) |
−0.990796 | + | 0.135366i | \(0.956779\pi\) | |||||||
\(908\) | 11.0653 | 0.367216 | ||||||||
\(909\) | −0.408852 | + | 8.96507i | −0.0135608 | + | 0.297352i | ||||
\(910\) | 32.6519 | + | 12.9066i | 1.08240 | + | 0.427849i | ||||
\(911\) | −34.4774 | − | 19.9056i | −1.14229 | − | 0.659500i | −0.195292 | − | 0.980745i | \(-0.562565\pi\) |
−0.946996 | + | 0.321245i | \(0.895899\pi\) | |||||||
\(912\) | −7.58113 | + | 25.9161i | −0.251036 | + | 0.858166i | ||||
\(913\) | 0.881773 | − | 0.509092i | 0.0291824 | − | 0.0168485i | ||||
\(914\) | −11.6637 | + | 6.73405i | −0.385801 | + | 0.222743i | ||||
\(915\) | −16.0735 | + | 3.91663i | −0.531372 | + | 0.129480i | ||||
\(916\) | 7.35389 | + | 4.24577i | 0.242979 | + | 0.140284i | ||||
\(917\) | 24.7157 | + | 9.76957i | 0.816186 | + | 0.322620i | ||||
\(918\) | 4.91002 | + | 25.0654i | 0.162055 | + | 0.827280i | ||||
\(919\) | −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 | ||||
\(921\) | 18.8049 | − | 4.58219i | 0.619641 | − | 0.150988i | ||||
\(922\) | −40.0513 | + | 23.1236i | −1.31902 | + | 0.761535i | ||||
\(923\) | −0.806939 | − | 1.39766i | −0.0265607 | − | 0.0460045i | ||||
\(924\) | 0.263543 | − | 0.338861i | 0.00866992 | − | 0.0111477i | ||||
\(925\) | 3.75729 | − | 6.50783i | 0.123539 | − | 0.213976i | ||||
\(926\) | − | 11.9409i | − | 0.392403i | ||||||
\(927\) | 21.3364 | − | 33.3485i | 0.700779 | − | 1.09531i | ||||
\(928\) | −15.0364 | −0.493593 | ||||||||
\(929\) | −22.8885 | + | 39.6440i | −0.750946 | + | 1.30068i | 0.196419 | + | 0.980520i | \(0.437069\pi\) |
−0.947365 | + | 0.320156i | \(0.896265\pi\) | |||||||
\(930\) | 0.545515 | − | 0.521203i | 0.0178881 | − | 0.0170909i | ||||
\(931\) | −43.1913 | − | 10.0792i | −1.41554 | − | 0.330332i | ||||
\(932\) | −8.77383 | + | 5.06557i | −0.287396 | + | 0.165928i | ||||
\(933\) | 20.5452 | − | 19.6296i | 0.672621 | − | 0.642645i | ||||
\(934\) | 3.69047 | + | 2.13069i | 0.120756 | + | 0.0697183i | ||||
\(935\) | 1.85640i | 0.0607108i | ||||||||
\(936\) | −30.6470 | − | 19.6080i | −1.00173 | − | 0.640908i | ||||
\(937\) | 24.0003i | 0.784054i | 0.919954 | + | 0.392027i | \(0.128226\pi\) | ||||
−0.919954 | + | 0.392027i | \(0.871774\pi\) | |||||||
\(938\) | 2.58894 | + | 3.26265i | 0.0845318 | + | 0.106529i | ||||
\(939\) | −3.98968 | + | 13.6387i | −0.130198 | + | 0.445083i | ||||
\(940\) | 7.30039 | + | 12.6446i | 0.238112 | + | 0.412423i | ||||
\(941\) | 1.64316 | + | 2.84603i | 0.0535654 | + | 0.0927780i | 0.891565 | − | 0.452893i | \(-0.149608\pi\) |
−0.837999 | + | 0.545671i | \(0.816275\pi\) | |||||||
\(942\) | −2.13521 | − | 8.76270i | −0.0695689 | − | 0.285504i | ||||
\(943\) | −1.88776 | − | 1.08990i | −0.0614738 | − | 0.0354919i | ||||
\(944\) | 8.89158 | 0.289396 | ||||||||
\(945\) | −13.0336 | − | 36.7743i | −0.423984 | − | 1.19627i | ||||
\(946\) | 1.22938 | 0.0399707 | ||||||||
\(947\) | −25.9420 | − | 14.9776i | −0.843002 | − | 0.486707i | 0.0152815 | − | 0.999883i | \(-0.495136\pi\) |
−0.858284 | + | 0.513176i | \(0.828469\pi\) | |||||||
\(948\) | −1.05329 | − | 4.32260i | −0.0342092 | − | 0.140391i | ||||
\(949\) | −29.5964 | − | 51.2624i | −0.960739 | − | 1.66405i | ||||
\(950\) | 11.4742 | + | 19.8739i | 0.372272 | + | 0.644794i | ||||
\(951\) | 11.1421 | − | 38.0892i | 0.361307 | − | 1.23513i | ||||
\(952\) | 20.9662 | + | 26.4222i | 0.679519 | + | 0.856350i | ||||
\(953\) | − | 16.0580i | − | 0.520169i | −0.965586 | − | 0.260084i | \(-0.916250\pi\) | ||
0.965586 | − | 0.260084i | \(-0.0837504\pi\) | |||||||
\(954\) | 0.421799 | − | 9.24895i | 0.0136562 | − | 0.299446i | ||||
\(955\) | − | 40.3279i | − | 1.30498i | ||||||
\(956\) | −1.14893 | − | 0.663336i | −0.0371591 | − | 0.0214538i | ||||
\(957\) | 0.919025 | − | 0.878068i | 0.0297079 | − | 0.0283839i | ||||
\(958\) | 1.66605 | − | 0.961893i | 0.0538275 | − | 0.0310773i | ||||
\(959\) | 21.0457 | − | 3.11986i | 0.679601 | − | 0.100745i | ||||
\(960\) | −31.1190 | + | 29.7321i | −1.00436 | + | 0.959600i | ||||
\(961\) | −15.4916 | + | 26.8323i | −0.499730 | + | 0.865557i | ||||
\(962\) | 11.5054 | 0.370948 | ||||||||
\(963\) | −26.9882 | − | 52.0904i | −0.869683 | − | 1.67859i | ||||
\(964\) | 2.68312i | 0.0864174i | ||||||||
\(965\) | −14.1959 | + | 24.5881i | −0.456983 | + | 0.791518i | ||||
\(966\) | 2.34282 | + | 1.82209i | 0.0753791 | + | 0.0586248i | ||||
\(967\) | 25.0275 | + | 43.3489i | 0.804831 | + | 1.39401i | 0.916405 | + | 0.400252i | \(0.131077\pi\) |
−0.111574 | + | 0.993756i | \(0.535589\pi\) | |||||||
\(968\) | −29.2345 | + | 16.8786i | −0.939633 | + | 0.542497i | ||||
\(969\) | −44.1937 | + | 10.7687i | −1.41971 | + | 0.345940i | ||||
\(970\) | 4.24484 | − | 7.35228i | 0.136294 | − | 0.236068i | ||||
\(971\) | −1.04188 | −0.0334354 | −0.0167177 | − | 0.999860i | \(-0.505322\pi\) | ||||
−0.0167177 | + | 0.999860i | \(0.505322\pi\) | |||||||
\(972\) | 1.36322 | + | 9.15202i | 0.0437253 | + | 0.293551i | ||||
\(973\) | −18.3844 | + | 46.5102i | −0.589378 | + | 1.49105i | ||||
\(974\) | 8.21195 | + | 4.74117i | 0.263128 | + | 0.151917i | ||||
\(975\) | −20.2645 | + | 4.93786i | −0.648983 | + | 0.158138i | ||||
\(976\) | −7.17167 | + | 4.14057i | −0.229560 | + | 0.132536i | ||||
\(977\) | 21.1765 | − | 12.2262i | 0.677495 | − | 0.391152i | −0.121416 | − | 0.992602i | \(-0.538743\pi\) |
0.798910 | + | 0.601450i | \(0.205410\pi\) | |||||||
\(978\) | 3.13474 | − | 10.7161i | 0.100238 | − | 0.342663i | ||||
\(979\) | 0.690703 | + | 0.398777i | 0.0220750 | + | 0.0127450i | ||||
\(980\) | −8.60502 | − | 8.06246i | −0.274877 | − | 0.257546i | ||||
\(981\) | −35.2901 | + | 18.2839i | −1.12673 | + | 0.583760i | ||||
\(982\) | 12.7440 | 0.406677 | ||||||||
\(983\) | −28.0788 | + | 48.6339i | −0.895575 | + | 1.55118i | −0.0624829 | + | 0.998046i | \(0.519902\pi\) |
−0.833092 | + | 0.553135i | \(0.813431\pi\) | |||||||
\(984\) | 14.6893 | + | 15.3745i | 0.468278 | + | 0.490120i | ||||
\(985\) | 49.4050 | − | 28.5240i | 1.57417 | − | 0.908850i | ||||
\(986\) | 11.4286 | + | 19.7950i | 0.363962 | + | 0.630400i | ||||
\(987\) | −36.7939 | + | 14.9604i | −1.17116 | + | 0.476194i | ||||
\(988\) | 7.41449 | − | 12.8423i | 0.235886 | − | 0.408567i | ||||
\(989\) | − | 3.58731i | − | 0.114070i | ||||||
\(990\) | 0.0725941 | − | 1.59180i | 0.00230719 | − | 0.0505907i | ||||
\(991\) | 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 | ||||
\(993\) | 32.0229 | + | 9.36753i | 1.01622 | + | 0.297270i | ||||
\(994\) | −0.188326 | − | 1.27039i | −0.00597333 | − | 0.0402944i | ||||
\(995\) | 31.7979 | − | 18.3586i | 1.00806 | − | 0.582005i | ||||
\(996\) | 1.57033 | + | 6.44448i | 0.0497578 | + | 0.204201i | ||||
\(997\) | −29.8197 | − | 17.2164i | −0.944399 | − | 0.545249i | −0.0530623 | − | 0.998591i | \(-0.516898\pi\) |
−0.891337 | + | 0.453342i | \(0.850232\pi\) | |||||||
\(998\) | − | 20.0671i | − | 0.635212i | ||||||
\(999\) | −8.40183 | − | 9.63688i | −0.265822 | − | 0.304898i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))