Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [87,2,Mod(7,87)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(87, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("87.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 87 = 3 \cdot 29 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 87.g (of order \(7\), degree \(6\), 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: | \(0.694698497585\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{7})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} - 5 x^{17} + 15 x^{16} - 32 x^{15} + 66 x^{14} - 115 x^{13} + 272 x^{12} - 387 x^{11} + 762 x^{10} + \cdots + 49 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 7.2 | ||
Root | \(0.824998 - 0.397298i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 87.7 |
Dual form | 87.2.g.b.25.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/87\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(59\) |
\(\chi(n)\) | \(e\left(\frac{3}{7}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.203758 | + | 0.892721i | 0.144078 | + | 0.631249i | 0.994463 | + | 0.105087i | \(0.0335122\pi\) |
−0.850385 | + | 0.526162i | \(0.823631\pi\) | |||||||
\(3\) | 0.900969 | + | 0.433884i | 0.520175 | + | 0.250503i | ||||
\(4\) | 1.04650 | − | 0.503970i | 0.523252 | − | 0.251985i | ||||
\(5\) | −0.0634200 | − | 0.277861i | −0.0283623 | − | 0.124263i | 0.958765 | − | 0.284200i | \(-0.0917281\pi\) |
−0.987127 | + | 0.159937i | \(0.948871\pi\) | |||||||
\(6\) | −0.203758 | + | 0.892721i | −0.0831837 | + | 0.364452i | ||||
\(7\) | −4.54015 | − | 2.18642i | −1.71601 | − | 0.826389i | −0.990391 | − | 0.138298i | \(-0.955837\pi\) |
−0.725624 | − | 0.688092i | \(-0.758449\pi\) | |||||||
\(8\) | 1.80497 | + | 2.26336i | 0.638153 | + | 0.800219i | ||||
\(9\) | 0.623490 | + | 0.781831i | 0.207830 | + | 0.260610i | ||||
\(10\) | 0.235130 | − | 0.113233i | 0.0743547 | − | 0.0358073i | ||||
\(11\) | −2.60766 | + | 3.26990i | −0.786238 | + | 0.985912i | 0.213721 | + | 0.976895i | \(0.431442\pi\) |
−0.999959 | + | 0.00901707i | \(0.997130\pi\) | |||||||
\(12\) | 1.16153 | 0.335306 | ||||||||
\(13\) | 1.41861 | − | 1.77888i | 0.393452 | − | 0.493373i | −0.545168 | − | 0.838327i | \(-0.683534\pi\) |
0.938620 | + | 0.344954i | \(0.112106\pi\) | |||||||
\(14\) | 1.02677 | − | 4.49858i | 0.274416 | − | 1.20230i | ||||
\(15\) | 0.0634200 | − | 0.277861i | 0.0163750 | − | 0.0717435i | ||||
\(16\) | −0.204365 | + | 0.256265i | −0.0510912 | + | 0.0640663i | ||||
\(17\) | −3.40834 | −0.826644 | −0.413322 | − | 0.910585i | \(-0.635632\pi\) | ||||
−0.413322 | + | 0.910585i | \(0.635632\pi\) | |||||||
\(18\) | −0.570916 | + | 0.715906i | −0.134566 | + | 0.168741i | ||||
\(19\) | −0.768127 | + | 0.369911i | −0.176221 | + | 0.0848633i | −0.519914 | − | 0.854218i | \(-0.674036\pi\) |
0.343694 | + | 0.939082i | \(0.388322\pi\) | |||||||
\(20\) | −0.206403 | − | 0.258821i | −0.0461531 | − | 0.0578742i | ||||
\(21\) | −3.14188 | − | 3.93979i | −0.685614 | − | 0.859733i | ||||
\(22\) | −3.45044 | − | 1.66164i | −0.735636 | − | 0.354263i | ||||
\(23\) | 1.61144 | − | 7.06017i | 0.336008 | − | 1.47215i | −0.471277 | − | 0.881985i | \(-0.656207\pi\) |
0.807285 | − | 0.590162i | \(-0.200936\pi\) | |||||||
\(24\) | 0.644186 | + | 2.82237i | 0.131494 | + | 0.576113i | ||||
\(25\) | 4.43166 | − | 2.13417i | 0.886332 | − | 0.426835i | ||||
\(26\) | 1.87710 | + | 0.903962i | 0.368129 | + | 0.177281i | ||||
\(27\) | 0.222521 | + | 0.974928i | 0.0428242 | + | 0.187625i | ||||
\(28\) | −5.85318 | −1.10615 | ||||||||
\(29\) | 2.41553 | + | 4.81302i | 0.448553 | + | 0.893756i | ||||
\(30\) | 0.260975 | 0.0476473 | ||||||||
\(31\) | 0.728037 | + | 3.18974i | 0.130759 | + | 0.572894i | 0.997277 | + | 0.0737475i | \(0.0234959\pi\) |
−0.866518 | + | 0.499146i | \(0.833647\pi\) | |||||||
\(32\) | 4.94610 | + | 2.38192i | 0.874355 | + | 0.421067i | ||||
\(33\) | −3.76817 | + | 1.81466i | −0.655955 | + | 0.315891i | ||||
\(34\) | −0.694475 | − | 3.04269i | −0.119101 | − | 0.521818i | ||||
\(35\) | −0.319585 | + | 1.40019i | −0.0540197 | + | 0.236676i | ||||
\(36\) | 1.04650 | + | 0.503970i | 0.174417 | + | 0.0839950i | ||||
\(37\) | 0.237365 | + | 0.297647i | 0.0390226 | + | 0.0489328i | 0.800960 | − | 0.598718i | \(-0.204323\pi\) |
−0.761937 | + | 0.647651i | \(0.775752\pi\) | |||||||
\(38\) | −0.486739 | − | 0.610351i | −0.0789594 | − | 0.0990120i | ||||
\(39\) | 2.04995 | − | 0.987204i | 0.328255 | − | 0.158079i | ||||
\(40\) | 0.514429 | − | 0.645074i | 0.0813384 | − | 0.101995i | ||||
\(41\) | −5.56008 | −0.868339 | −0.434169 | − | 0.900831i | \(-0.642958\pi\) | ||||
−0.434169 | + | 0.900831i | \(0.642958\pi\) | |||||||
\(42\) | 2.87695 | − | 3.60758i | 0.443923 | − | 0.556662i | ||||
\(43\) | −1.75856 | + | 7.70474i | −0.268177 | + | 1.17496i | 0.643954 | + | 0.765064i | \(0.277293\pi\) |
−0.912131 | + | 0.409898i | \(0.865564\pi\) | |||||||
\(44\) | −1.08099 | + | 4.73615i | −0.162966 | + | 0.714001i | ||||
\(45\) | 0.177699 | − | 0.222827i | 0.0264898 | − | 0.0332172i | ||||
\(46\) | 6.63110 | 0.977702 | ||||||||
\(47\) | 4.07504 | − | 5.10993i | 0.594405 | − | 0.745360i | −0.390089 | − | 0.920777i | \(-0.627556\pi\) |
0.984494 | + | 0.175417i | \(0.0561273\pi\) | |||||||
\(48\) | −0.295316 | + | 0.142216i | −0.0426251 | + | 0.0205272i | ||||
\(49\) | 11.4681 | + | 14.3805i | 1.63830 | + | 2.05436i | ||||
\(50\) | 2.80821 | + | 3.52138i | 0.397140 | + | 0.497998i | ||||
\(51\) | −3.07081 | − | 1.47882i | −0.429999 | − | 0.207077i | ||||
\(52\) | 0.588079 | − | 2.57654i | 0.0815520 | − | 0.357302i | ||||
\(53\) | −0.643658 | − | 2.82005i | −0.0884132 | − | 0.387363i | 0.911289 | − | 0.411767i | \(-0.135088\pi\) |
−0.999702 | + | 0.0244039i | \(0.992231\pi\) | |||||||
\(54\) | −0.824998 | + | 0.397298i | −0.112268 | + | 0.0540654i | ||||
\(55\) | 1.07396 | + | 0.517190i | 0.144812 | + | 0.0697379i | ||||
\(56\) | −3.24617 | − | 14.2224i | −0.433788 | − | 1.90055i | ||||
\(57\) | −0.852557 | −0.112924 | ||||||||
\(58\) | −3.80450 | + | 3.13709i | −0.499556 | + | 0.411920i | ||||
\(59\) | −4.68212 | −0.609560 | −0.304780 | − | 0.952423i | \(-0.598583\pi\) | ||||
−0.304780 | + | 0.952423i | \(0.598583\pi\) | |||||||
\(60\) | −0.0736644 | − | 0.322745i | −0.00951004 | − | 0.0416662i | ||||
\(61\) | 6.25207 | + | 3.01084i | 0.800495 | + | 0.385498i | 0.788967 | − | 0.614435i | \(-0.210616\pi\) |
0.0115280 | + | 0.999934i | \(0.496330\pi\) | |||||||
\(62\) | −2.69920 | + | 1.29987i | −0.342799 | + | 0.165083i | ||||
\(63\) | −1.12132 | − | 4.91284i | −0.141274 | − | 0.618960i | ||||
\(64\) | −1.26445 | + | 5.53994i | −0.158057 | + | 0.692492i | ||||
\(65\) | −0.584250 | − | 0.281360i | −0.0724673 | − | 0.0348984i | ||||
\(66\) | −2.38778 | − | 2.99418i | −0.293915 | − | 0.368558i | ||||
\(67\) | −1.77109 | − | 2.22087i | −0.216373 | − | 0.271323i | 0.661785 | − | 0.749693i | \(-0.269799\pi\) |
−0.878158 | + | 0.478370i | \(0.841228\pi\) | |||||||
\(68\) | −3.56684 | + | 1.71770i | −0.432543 | + | 0.208302i | ||||
\(69\) | 4.51515 | − | 5.66182i | 0.543560 | − | 0.681602i | ||||
\(70\) | −1.31510 | −0.157184 | ||||||||
\(71\) | −7.16657 | + | 8.98660i | −0.850516 | + | 1.06651i | 0.146492 | + | 0.989212i | \(0.453202\pi\) |
−0.997008 | + | 0.0773013i | \(0.975370\pi\) | |||||||
\(72\) | −0.644186 | + | 2.82237i | −0.0759181 | + | 0.332619i | ||||
\(73\) | 2.51970 | − | 11.0395i | 0.294908 | − | 1.29208i | −0.582695 | − | 0.812691i | \(-0.698002\pi\) |
0.877603 | − | 0.479387i | \(-0.159141\pi\) | |||||||
\(74\) | −0.217350 | + | 0.272549i | −0.0252665 | + | 0.0316832i | ||||
\(75\) | 4.91877 | 0.567971 | ||||||||
\(76\) | −0.617425 | + | 0.774227i | −0.0708235 | + | 0.0888099i | ||||
\(77\) | 18.9885 | − | 9.14439i | 2.16394 | − | 1.04210i | ||||
\(78\) | 1.29899 | + | 1.62888i | 0.147082 | + | 0.184435i | ||||
\(79\) | −4.22068 | − | 5.29256i | −0.474863 | − | 0.595460i | 0.485491 | − | 0.874241i | \(-0.338641\pi\) |
−0.960354 | + | 0.278782i | \(0.910069\pi\) | |||||||
\(80\) | 0.0841670 | + | 0.0405327i | 0.00941016 | + | 0.00453169i | ||||
\(81\) | −0.222521 | + | 0.974928i | −0.0247245 | + | 0.108325i | ||||
\(82\) | −1.13291 | − | 4.96360i | −0.125109 | − | 0.548138i | ||||
\(83\) | −5.65795 | + | 2.72473i | −0.621041 | + | 0.299078i | −0.717821 | − | 0.696228i | \(-0.754860\pi\) |
0.0967793 | + | 0.995306i | \(0.469146\pi\) | |||||||
\(84\) | −5.27353 | − | 2.53960i | −0.575389 | − | 0.277093i | ||||
\(85\) | 0.216157 | + | 0.947045i | 0.0234455 | + | 0.102721i | ||||
\(86\) | −7.23650 | −0.780332 | ||||||||
\(87\) | 0.0880280 | + | 5.38445i | 0.00943759 | + | 0.577273i | ||||
\(88\) | −12.1077 | −1.29069 | ||||||||
\(89\) | −1.26972 | − | 5.56302i | −0.134590 | − | 0.589679i | −0.996571 | − | 0.0827384i | \(-0.973633\pi\) |
0.861981 | − | 0.506941i | \(-0.169224\pi\) | |||||||
\(90\) | 0.235130 | + | 0.113233i | 0.0247849 | + | 0.0119358i | ||||
\(91\) | −10.3301 | + | 4.97470i | −1.08289 | + | 0.521491i | ||||
\(92\) | −1.87174 | − | 8.20062i | −0.195142 | − | 0.854974i | ||||
\(93\) | −0.728037 | + | 3.18974i | −0.0754939 | + | 0.330760i | ||||
\(94\) | 5.39206 | + | 2.59668i | 0.556149 | + | 0.267827i | ||||
\(95\) | 0.151498 | + | 0.189973i | 0.0155434 | + | 0.0194908i | ||||
\(96\) | 3.42281 | + | 4.29207i | 0.349339 | + | 0.438057i | ||||
\(97\) | −0.453007 | + | 0.218157i | −0.0459959 | + | 0.0221505i | −0.456740 | − | 0.889600i | \(-0.650983\pi\) |
0.410744 | + | 0.911751i | \(0.365269\pi\) | |||||||
\(98\) | −10.5011 | + | 13.1679i | −1.06077 | + | 1.33016i | ||||
\(99\) | −4.18236 | −0.420343 | ||||||||
\(100\) | 3.56219 | − | 4.46685i | 0.356219 | − | 0.446685i | ||||
\(101\) | 1.00310 | − | 4.39485i | 0.0998117 | − | 0.437304i | −0.900187 | − | 0.435504i | \(-0.856570\pi\) |
0.999998 | − | 0.00179942i | \(-0.000572775\pi\) | |||||||
\(102\) | 0.694475 | − | 3.04269i | 0.0687633 | − | 0.301272i | ||||
\(103\) | 5.06515 | − | 6.35150i | 0.499085 | − | 0.625832i | −0.466938 | − | 0.884290i | \(-0.654643\pi\) |
0.966023 | + | 0.258458i | \(0.0832143\pi\) | |||||||
\(104\) | 6.58680 | 0.645889 | ||||||||
\(105\) | −0.895458 | + | 1.12287i | −0.0873877 | + | 0.109581i | ||||
\(106\) | 2.38636 | − | 1.14921i | 0.231784 | − | 0.111621i | ||||
\(107\) | 5.93513 | + | 7.44241i | 0.573770 | + | 0.719485i | 0.981036 | − | 0.193824i | \(-0.0620892\pi\) |
−0.407266 | + | 0.913310i | \(0.633518\pi\) | |||||||
\(108\) | 0.724204 | + | 0.908123i | 0.0696866 | + | 0.0873842i | ||||
\(109\) | 6.69547 | + | 3.22437i | 0.641309 | + | 0.308838i | 0.726129 | − | 0.687558i | \(-0.241317\pi\) |
−0.0848202 | + | 0.996396i | \(0.527032\pi\) | |||||||
\(110\) | −0.242879 | + | 1.06412i | −0.0231576 | + | 0.101460i | ||||
\(111\) | 0.0847148 | + | 0.371160i | 0.00804077 | + | 0.0352289i | ||||
\(112\) | 1.48815 | − | 0.716655i | 0.140617 | − | 0.0677175i | ||||
\(113\) | −3.81835 | − | 1.83882i | −0.359200 | − | 0.172981i | 0.245576 | − | 0.969377i | \(-0.421023\pi\) |
−0.604776 | + | 0.796396i | \(0.706737\pi\) | |||||||
\(114\) | −0.173715 | − | 0.761095i | −0.0162699 | − | 0.0712831i | ||||
\(115\) | −2.06394 | −0.192464 | ||||||||
\(116\) | 4.95349 | + | 3.81950i | 0.459920 | + | 0.354631i | ||||
\(117\) | 2.27527 | 0.210349 | ||||||||
\(118\) | −0.954018 | − | 4.17983i | −0.0878245 | − | 0.384784i | ||||
\(119\) | 15.4744 | + | 7.45206i | 1.41853 | + | 0.683129i | ||||
\(120\) | 0.743372 | − | 0.357989i | 0.0678602 | − | 0.0326798i | ||||
\(121\) | −1.44463 | − | 6.32935i | −0.131330 | − | 0.575396i | ||||
\(122\) | −1.41393 | + | 6.19483i | −0.128011 | + | 0.560854i | ||||
\(123\) | −5.00946 | − | 2.41243i | −0.451688 | − | 0.217521i | ||||
\(124\) | 2.36943 | + | 2.97117i | 0.212781 | + | 0.266819i | ||||
\(125\) | −1.76256 | − | 2.21017i | −0.157648 | − | 0.197684i | ||||
\(126\) | 4.15732 | − | 2.00206i | 0.370363 | − | 0.178357i | ||||
\(127\) | −10.5989 | + | 13.2906i | −0.940501 | + | 1.17935i | 0.0431137 | + | 0.999070i | \(0.486272\pi\) |
−0.983615 | + | 0.180281i | \(0.942299\pi\) | |||||||
\(128\) | 5.77626 | 0.510554 | ||||||||
\(129\) | −4.92737 | + | 6.17872i | −0.433831 | + | 0.544006i | ||||
\(130\) | 0.132130 | − | 0.578901i | 0.0115886 | − | 0.0507730i | ||||
\(131\) | 2.82494 | − | 12.3769i | 0.246816 | − | 1.08137i | −0.687852 | − | 0.725851i | \(-0.741446\pi\) |
0.934668 | − | 0.355521i | \(-0.115697\pi\) | |||||||
\(132\) | −3.02888 | + | 3.79810i | −0.263630 | + | 0.330582i | ||||
\(133\) | 4.29619 | 0.372527 | ||||||||
\(134\) | 1.62175 | − | 2.03361i | 0.140098 | − | 0.175677i | ||||
\(135\) | 0.256782 | − | 0.123660i | 0.0221003 | − | 0.0106429i | ||||
\(136\) | −6.15195 | − | 7.71430i | −0.527525 | − | 0.661496i | ||||
\(137\) | 6.07484 | + | 7.61760i | 0.519008 | + | 0.650816i | 0.970398 | − | 0.241511i | \(-0.0776430\pi\) |
−0.451390 | + | 0.892327i | \(0.649072\pi\) | |||||||
\(138\) | 5.97441 | + | 2.87713i | 0.508576 | + | 0.244917i | ||||
\(139\) | 2.77783 | − | 12.1705i | 0.235612 | − | 1.03228i | −0.709286 | − | 0.704921i | \(-0.750983\pi\) |
0.944898 | − | 0.327364i | \(-0.106160\pi\) | |||||||
\(140\) | 0.371209 | + | 1.62637i | 0.0313729 | + | 0.137453i | ||||
\(141\) | 5.88860 | − | 2.83580i | 0.495909 | − | 0.238817i | ||||
\(142\) | −9.48277 | − | 4.56666i | −0.795776 | − | 0.383226i | ||||
\(143\) | 2.11751 | + | 9.27742i | 0.177075 | + | 0.775817i | ||||
\(144\) | −0.327776 | −0.0273146 | ||||||||
\(145\) | 1.18416 | − | 0.976425i | 0.0983391 | − | 0.0810877i | ||||
\(146\) | 10.3686 | 0.858113 | ||||||||
\(147\) | 4.09291 | + | 17.9322i | 0.337578 | + | 1.47902i | ||||
\(148\) | 0.398409 | + | 0.191864i | 0.0327490 | + | 0.0157711i | ||||
\(149\) | 20.3625 | − | 9.80607i | 1.66816 | − | 0.803345i | 0.670025 | − | 0.742338i | \(-0.266283\pi\) |
0.998137 | − | 0.0610063i | \(-0.0194310\pi\) | |||||||
\(150\) | 1.00224 | + | 4.39109i | 0.0818323 | + | 0.358531i | ||||
\(151\) | 1.47657 | − | 6.46927i | 0.120161 | − | 0.526462i | −0.878639 | − | 0.477487i | \(-0.841548\pi\) |
0.998800 | − | 0.0489743i | \(-0.0155952\pi\) | |||||||
\(152\) | −2.22369 | − | 1.07087i | −0.180365 | − | 0.0868592i | ||||
\(153\) | −2.12506 | − | 2.66475i | −0.171801 | − | 0.215432i | ||||
\(154\) | 12.0324 | + | 15.0882i | 0.969602 | + | 1.21584i | ||||
\(155\) | 0.840133 | − | 0.404587i | 0.0674811 | − | 0.0324972i | ||||
\(156\) | 1.64776 | − | 2.06623i | 0.131927 | − | 0.165431i | ||||
\(157\) | −13.3793 | −1.06778 | −0.533890 | − | 0.845554i | \(-0.679270\pi\) | ||||
−0.533890 | + | 0.845554i | \(0.679270\pi\) | |||||||
\(158\) | 3.86478 | − | 4.84628i | 0.307466 | − | 0.385550i | ||||
\(159\) | 0.643658 | − | 2.82005i | 0.0510454 | − | 0.223644i | ||||
\(160\) | 0.348161 | − | 1.52539i | 0.0275245 | − | 0.120593i | ||||
\(161\) | −22.7527 | + | 28.5309i | −1.79316 | + | 2.24855i | ||||
\(162\) | −0.915678 | −0.0719425 | ||||||||
\(163\) | 6.33230 | − | 7.94046i | 0.495984 | − | 0.621944i | −0.469334 | − | 0.883021i | \(-0.655506\pi\) |
0.965318 | + | 0.261076i | \(0.0840774\pi\) | |||||||
\(164\) | −5.81865 | + | 2.80212i | −0.454360 | + | 0.218808i | ||||
\(165\) | 0.743201 | + | 0.931944i | 0.0578581 | + | 0.0725518i | ||||
\(166\) | −3.58527 | − | 4.49579i | −0.278271 | − | 0.348941i | ||||
\(167\) | −22.1004 | − | 10.6430i | −1.71018 | − | 0.823579i | −0.991781 | − | 0.127947i | \(-0.959161\pi\) |
−0.718398 | − | 0.695632i | \(-0.755124\pi\) | |||||||
\(168\) | 3.24617 | − | 14.2224i | 0.250448 | − | 1.09728i | ||||
\(169\) | 1.74081 | + | 7.62699i | 0.133908 | + | 0.586691i | ||||
\(170\) | −0.801403 | + | 0.385935i | −0.0614648 | + | 0.0295999i | ||||
\(171\) | −0.768127 | − | 0.369911i | −0.0587402 | − | 0.0282878i | ||||
\(172\) | 2.04262 | + | 8.94931i | 0.155748 | + | 0.682379i | ||||
\(173\) | −22.0884 | −1.67935 | −0.839674 | − | 0.543091i | \(-0.817254\pi\) | ||||
−0.839674 | + | 0.543091i | \(0.817254\pi\) | |||||||
\(174\) | −4.78887 | + | 1.17571i | −0.363043 | + | 0.0891301i | ||||
\(175\) | −24.7866 | −1.87369 | ||||||||
\(176\) | −0.305048 | − | 1.33650i | −0.0229939 | − | 0.100743i | ||||
\(177\) | −4.21845 | − | 2.03150i | −0.317078 | − | 0.152697i | ||||
\(178\) | 4.70751 | − | 2.26702i | 0.352843 | − | 0.169920i | ||||
\(179\) | −0.163565 | − | 0.716626i | −0.0122254 | − | 0.0535631i | 0.968447 | − | 0.249219i | \(-0.0801737\pi\) |
−0.980673 | + | 0.195655i | \(0.937317\pi\) | |||||||
\(180\) | 0.0736644 | − | 0.322745i | 0.00549062 | − | 0.0240560i | ||||
\(181\) | −12.3221 | − | 5.93399i | −0.915892 | − | 0.441070i | −0.0842890 | − | 0.996441i | \(-0.526862\pi\) |
−0.831603 | + | 0.555371i | \(0.812576\pi\) | |||||||
\(182\) | −6.54585 | − | 8.20824i | −0.485211 | − | 0.608435i | ||||
\(183\) | 4.32656 | + | 5.42534i | 0.319829 | + | 0.401053i | ||||
\(184\) | 18.8883 | − | 9.09613i | 1.39246 | − | 0.670576i | ||||
\(185\) | 0.0676508 | − | 0.0848314i | 0.00497379 | − | 0.00623693i | ||||
\(186\) | −2.99589 | −0.219669 | ||||||||
\(187\) | 8.88778 | − | 11.1449i | 0.649939 | − | 0.814998i | ||||
\(188\) | 1.68929 | − | 7.40127i | 0.123204 | − | 0.539793i | ||||
\(189\) | 1.12132 | − | 4.91284i | 0.0815643 | − | 0.357357i | ||||
\(190\) | −0.138724 | + | 0.173954i | −0.0100641 | + | 0.0126200i | ||||
\(191\) | 1.16101 | 0.0840075 | 0.0420038 | − | 0.999117i | \(-0.486626\pi\) | ||||
0.0420038 | + | 0.999117i | \(0.486626\pi\) | |||||||
\(192\) | −3.54292 | + | 4.44268i | −0.255688 | + | 0.320623i | ||||
\(193\) | −18.5608 | + | 8.93843i | −1.33604 | + | 0.643402i | −0.959161 | − | 0.282861i | \(-0.908717\pi\) |
−0.376878 | + | 0.926263i | \(0.623002\pi\) | |||||||
\(194\) | −0.287057 | − | 0.359958i | −0.0206095 | − | 0.0258434i | ||||
\(195\) | −0.404314 | − | 0.506993i | −0.0289535 | − | 0.0363065i | ||||
\(196\) | 19.2488 | + | 9.26971i | 1.37491 | + | 0.662122i | ||||
\(197\) | −1.14781 | + | 5.02887i | −0.0817778 | + | 0.358292i | −0.999216 | − | 0.0395860i | \(-0.987396\pi\) |
0.917438 | + | 0.397878i | \(0.130253\pi\) | |||||||
\(198\) | −0.852187 | − | 3.73368i | −0.0605623 | − | 0.265341i | ||||
\(199\) | 2.52796 | − | 1.21740i | 0.179203 | − | 0.0862995i | −0.342131 | − | 0.939652i | \(-0.611149\pi\) |
0.521334 | + | 0.853353i | \(0.325435\pi\) | |||||||
\(200\) | 12.8294 | + | 6.17832i | 0.907177 | + | 0.436874i | ||||
\(201\) | −0.632094 | − | 2.76938i | −0.0445845 | − | 0.195337i | ||||
\(202\) | 4.12776 | 0.290428 | ||||||||
\(203\) | −0.443589 | − | 27.1332i | −0.0311339 | − | 1.90438i | ||||
\(204\) | −3.95890 | −0.277178 | ||||||||
\(205\) | 0.352620 | + | 1.54493i | 0.0246281 | + | 0.107903i | ||||
\(206\) | 6.70218 | + | 3.22760i | 0.466963 | + | 0.224878i | ||||
\(207\) | 6.52458 | − | 3.14207i | 0.453489 | − | 0.218389i | ||||
\(208\) | 0.165951 | + | 0.727081i | 0.0115067 | + | 0.0504140i | ||||
\(209\) | 0.793443 | − | 3.47630i | 0.0548836 | − | 0.240461i | ||||
\(210\) | −1.18486 | − | 0.570600i | −0.0817634 | − | 0.0393752i | ||||
\(211\) | −3.02315 | − | 3.79091i | −0.208122 | − | 0.260977i | 0.666804 | − | 0.745233i | \(-0.267662\pi\) |
−0.874926 | + | 0.484256i | \(0.839090\pi\) | |||||||
\(212\) | −2.09481 | − | 2.62681i | −0.143872 | − | 0.180410i | ||||
\(213\) | −10.3560 | + | 4.98719i | −0.709581 | + | 0.341716i | ||||
\(214\) | −5.43467 | + | 6.81486i | −0.371506 | + | 0.465854i | ||||
\(215\) | 2.25238 | 0.153611 | ||||||||
\(216\) | −1.80497 | + | 2.26336i | −0.122813 | + | 0.154002i | ||||
\(217\) | 3.66871 | − | 16.0737i | 0.249048 | − | 1.09115i | ||||
\(218\) | −1.51421 | + | 6.63417i | −0.102555 | + | 0.449323i | ||||
\(219\) | 7.06004 | − | 8.85301i | 0.477073 | − | 0.598231i | ||||
\(220\) | 1.38455 | 0.0933463 | ||||||||
\(221\) | −4.83510 | + | 6.06303i | −0.325244 | + | 0.407843i | ||||
\(222\) | −0.314081 | + | 0.151253i | −0.0210797 | + | 0.0101515i | ||||
\(223\) | 6.48155 | + | 8.12761i | 0.434037 | + | 0.544265i | 0.949961 | − | 0.312370i | \(-0.101123\pi\) |
−0.515924 | + | 0.856634i | \(0.672551\pi\) | |||||||
\(224\) | −17.2482 | − | 21.6285i | −1.15244 | − | 1.44512i | ||||
\(225\) | 4.43166 | + | 2.13417i | 0.295444 | + | 0.142278i | ||||
\(226\) | 0.863534 | − | 3.78339i | 0.0574414 | − | 0.251667i | ||||
\(227\) | 6.22713 | + | 27.2828i | 0.413309 | + | 1.81083i | 0.568195 | + | 0.822894i | \(0.307642\pi\) |
−0.154886 | + | 0.987932i | \(0.549501\pi\) | |||||||
\(228\) | −0.892205 | + | 0.429663i | −0.0590877 | + | 0.0284552i | ||||
\(229\) | 3.14998 | + | 1.51695i | 0.208156 | + | 0.100243i | 0.535057 | − | 0.844816i | \(-0.320290\pi\) |
−0.326901 | + | 0.945059i | \(0.606004\pi\) | |||||||
\(230\) | −0.420544 | − | 1.84253i | −0.0277299 | − | 0.121493i | ||||
\(231\) | 21.0757 | 1.38668 | ||||||||
\(232\) | −6.53364 | + | 14.1546i | −0.428955 | + | 0.929294i | ||||
\(233\) | −3.35269 | −0.219642 | −0.109821 | − | 0.993951i | \(-0.535028\pi\) | ||||
−0.109821 | + | 0.993951i | \(0.535028\pi\) | |||||||
\(234\) | 0.463604 | + | 2.03118i | 0.0303068 | + | 0.132783i | ||||
\(235\) | −1.67829 | − | 0.808222i | −0.109480 | − | 0.0527226i | ||||
\(236\) | −4.89986 | + | 2.35965i | −0.318954 | + | 0.153600i | ||||
\(237\) | −1.50634 | − | 6.59971i | −0.0978474 | − | 0.428698i | ||||
\(238\) | −3.49959 | + | 15.3327i | −0.226845 | + | 0.993871i | ||||
\(239\) | 16.5718 | + | 7.98057i | 1.07194 | + | 0.516220i | 0.884732 | − | 0.466100i | \(-0.154341\pi\) |
0.187210 | + | 0.982320i | \(0.440056\pi\) | |||||||
\(240\) | 0.0582454 | + | 0.0730374i | 0.00375972 | + | 0.00471454i | ||||
\(241\) | 3.50723 | + | 4.39793i | 0.225921 | + | 0.283295i | 0.881853 | − | 0.471524i | \(-0.156296\pi\) |
−0.655933 | + | 0.754819i | \(0.727724\pi\) | |||||||
\(242\) | 5.35599 | − | 2.57931i | 0.344296 | − | 0.165804i | ||||
\(243\) | −0.623490 | + | 0.781831i | −0.0399969 | + | 0.0501545i | ||||
\(244\) | 8.06019 | 0.516001 | ||||||||
\(245\) | 3.26848 | − | 4.09855i | 0.208816 | − | 0.261847i | ||||
\(246\) | 1.13291 | − | 4.96360i | 0.0722316 | − | 0.316468i | ||||
\(247\) | −0.431646 | + | 1.89117i | −0.0274650 | + | 0.120332i | ||||
\(248\) | −5.90545 | + | 7.40519i | −0.374996 | + | 0.470230i | ||||
\(249\) | −6.27986 | −0.397970 | ||||||||
\(250\) | 1.61393 | − | 2.02381i | 0.102074 | − | 0.127997i | ||||
\(251\) | 24.1560 | − | 11.6329i | 1.52472 | − | 0.734264i | 0.531124 | − | 0.847294i | \(-0.321770\pi\) |
0.993592 | + | 0.113030i | \(0.0360555\pi\) | |||||||
\(252\) | −3.64940 | − | 4.57620i | −0.229890 | − | 0.288273i | ||||
\(253\) | 18.8840 | + | 23.6797i | 1.18722 | + | 1.48873i | ||||
\(254\) | −14.0244 | − | 6.75380i | −0.879970 | − | 0.423771i | ||||
\(255\) | −0.216157 | + | 0.947045i | −0.0135363 | + | 0.0593063i | ||||
\(256\) | 3.70587 | + | 16.2365i | 0.231617 | + | 1.01478i | ||||
\(257\) | 3.33896 | − | 1.60796i | 0.208279 | − | 0.100302i | −0.326836 | − | 0.945081i | \(-0.605983\pi\) |
0.535115 | + | 0.844779i | \(0.320268\pi\) | |||||||
\(258\) | −6.51986 | − | 3.13980i | −0.405909 | − | 0.195475i | ||||
\(259\) | −0.426893 | − | 1.87034i | −0.0265259 | − | 0.116217i | ||||
\(260\) | −0.753218 | −0.0467126 | ||||||||
\(261\) | −2.25691 | + | 4.88941i | −0.139699 | + | 0.302647i | ||||
\(262\) | 11.6247 | 0.718176 | ||||||||
\(263\) | −3.92794 | − | 17.2094i | −0.242207 | − | 1.06118i | −0.939003 | − | 0.343910i | \(-0.888249\pi\) |
0.696796 | − | 0.717270i | \(-0.254608\pi\) | |||||||
\(264\) | −10.9087 | − | 5.25334i | −0.671382 | − | 0.323321i | ||||
\(265\) | −0.742761 | + | 0.357695i | −0.0456275 | + | 0.0219730i | ||||
\(266\) | 0.875382 | + | 3.83530i | 0.0536731 | + | 0.235157i | ||||
\(267\) | 1.26972 | − | 5.56302i | 0.0777058 | − | 0.340451i | ||||
\(268\) | −2.97271 | − | 1.43158i | −0.181587 | − | 0.0874477i | ||||
\(269\) | −8.93835 | − | 11.2083i | −0.544981 | − | 0.683385i | 0.430721 | − | 0.902485i | \(-0.358259\pi\) |
−0.975702 | + | 0.219100i | \(0.929688\pi\) | |||||||
\(270\) | 0.162715 | + | 0.204038i | 0.00990253 | + | 0.0124174i | ||||
\(271\) | −27.2004 | + | 13.0990i | −1.65231 | + | 0.795709i | −0.653044 | + | 0.757320i | \(0.726508\pi\) |
−0.999263 | + | 0.0383890i | \(0.987777\pi\) | |||||||
\(272\) | 0.696544 | − | 0.873439i | 0.0422342 | − | 0.0529600i | ||||
\(273\) | −11.4655 | −0.693925 | ||||||||
\(274\) | −5.56260 | + | 6.97528i | −0.336049 | + | 0.421392i | ||||
\(275\) | −4.57771 | + | 20.0563i | −0.276047 | + | 1.20944i | ||||
\(276\) | 1.87174 | − | 8.20062i | 0.112665 | − | 0.493619i | ||||
\(277\) | 5.26579 | − | 6.60309i | 0.316391 | − | 0.396741i | −0.598052 | − | 0.801457i | \(-0.704058\pi\) |
0.914442 | + | 0.404716i | \(0.132630\pi\) | |||||||
\(278\) | 11.4308 | 0.685575 | ||||||||
\(279\) | −2.03991 | + | 2.55797i | −0.122126 | + | 0.153142i | ||||
\(280\) | −3.74599 | + | 1.80397i | −0.223866 | + | 0.107808i | ||||
\(281\) | −7.90311 | − | 9.91018i | −0.471460 | − | 0.591192i | 0.488068 | − | 0.872806i | \(-0.337702\pi\) |
−0.959528 | + | 0.281614i | \(0.909130\pi\) | |||||||
\(282\) | 3.73142 | + | 4.67906i | 0.222203 | + | 0.278634i | ||||
\(283\) | 22.2025 | + | 10.6921i | 1.31980 | + | 0.635582i | 0.955305 | − | 0.295623i | \(-0.0955273\pi\) |
0.364495 | + | 0.931205i | \(0.381242\pi\) | |||||||
\(284\) | −2.97088 | + | 13.0163i | −0.176289 | + | 0.772373i | ||||
\(285\) | 0.0540692 | + | 0.236893i | 0.00320278 | + | 0.0140323i | ||||
\(286\) | −7.85069 | + | 3.78069i | −0.464221 | + | 0.223557i | ||||
\(287\) | 25.2436 | + | 12.1567i | 1.49008 | + | 0.717586i | ||||
\(288\) | 1.22159 | + | 5.35212i | 0.0719827 | + | 0.315377i | ||||
\(289\) | −5.38323 | −0.316661 | ||||||||
\(290\) | 1.11296 | + | 0.858169i | 0.0653551 | + | 0.0503934i | ||||
\(291\) | −0.502800 | −0.0294746 | ||||||||
\(292\) | −2.92671 | − | 12.8228i | −0.171273 | − | 0.750396i | ||||
\(293\) | 4.15097 | + | 1.99900i | 0.242502 | + | 0.116783i | 0.551188 | − | 0.834381i | \(-0.314175\pi\) |
−0.308686 | + | 0.951164i | \(0.599889\pi\) | |||||||
\(294\) | −15.1745 | + | 7.30765i | −0.884995 | + | 0.426191i | ||||
\(295\) | 0.296940 | + | 1.30098i | 0.0172885 | + | 0.0757460i | ||||
\(296\) | −0.245245 | + | 1.07449i | −0.0142546 | + | 0.0624533i | ||||
\(297\) | −3.76817 | − | 1.81466i | −0.218652 | − | 0.105297i | ||||
\(298\) | 12.9031 | + | 16.1800i | 0.747457 | + | 0.937281i | ||||
\(299\) | −10.2732 | − | 12.8822i | −0.594114 | − | 0.744996i | ||||
\(300\) | 5.14752 | − | 2.47891i | 0.297192 | − | 0.143120i | ||||
\(301\) | 24.8299 | − | 31.1357i | 1.43117 | − | 1.79463i | ||||
\(302\) | 6.07611 | 0.349641 | ||||||||
\(303\) | 2.81061 | − | 3.52439i | 0.161465 | − | 0.202471i | ||||
\(304\) | 0.0621829 | − | 0.272441i | 0.00356643 | − | 0.0156256i | ||||
\(305\) | 0.440089 | − | 1.92815i | 0.0251994 | − | 0.110406i | ||||
\(306\) | 1.94588 | − | 2.44005i | 0.111238 | − | 0.139488i | ||||
\(307\) | 2.80588 | 0.160140 | 0.0800700 | − | 0.996789i | \(-0.474486\pi\) | ||||
0.0800700 | + | 0.996789i | \(0.474486\pi\) | |||||||
\(308\) | 15.2631 | − | 19.1393i | 0.869695 | − | 1.09056i | ||||
\(309\) | 7.31936 | − | 3.52482i | 0.416384 | − | 0.200520i | ||||
\(310\) | 0.532366 | + | 0.667566i | 0.0302364 | + | 0.0379152i | ||||
\(311\) | 9.80146 | + | 12.2906i | 0.555790 | + | 0.696939i | 0.977773 | − | 0.209665i | \(-0.0672373\pi\) |
−0.421983 | + | 0.906604i | \(0.638666\pi\) | |||||||
\(312\) | 5.93450 | + | 2.85790i | 0.335975 | + | 0.161797i | ||||
\(313\) | −4.05540 | + | 17.7679i | −0.229225 | + | 1.00430i | 0.721049 | + | 0.692884i | \(0.243660\pi\) |
−0.950274 | + | 0.311415i | \(0.899197\pi\) | |||||||
\(314\) | −2.72612 | − | 11.9439i | −0.153844 | − | 0.674035i | ||||
\(315\) | −1.29397 | + | 0.623145i | −0.0729072 | + | 0.0351102i | ||||
\(316\) | −7.08425 | − | 3.41160i | −0.398520 | − | 0.191917i | ||||
\(317\) | −0.418332 | − | 1.83283i | −0.0234959 | − | 0.102942i | 0.961820 | − | 0.273682i | \(-0.0882415\pi\) |
−0.985316 | + | 0.170740i | \(0.945384\pi\) | |||||||
\(318\) | 2.64866 | 0.148530 | ||||||||
\(319\) | −22.0370 | − | 4.65217i | −1.23383 | − | 0.260471i | ||||
\(320\) | 1.61952 | 0.0905342 | ||||||||
\(321\) | 2.11822 | + | 9.28054i | 0.118228 | + | 0.517989i | ||||
\(322\) | −30.1062 | − | 14.4984i | −1.67775 | − | 0.807963i | ||||
\(323\) | 2.61804 | − | 1.26078i | 0.145672 | − | 0.0701517i | ||||
\(324\) | 0.258465 | + | 1.13241i | 0.0143592 | + | 0.0629117i | ||||
\(325\) | 2.49035 | − | 10.9110i | 0.138140 | − | 0.605231i | ||||
\(326\) | 8.37886 | + | 4.03505i | 0.464062 | + | 0.223481i | ||||
\(327\) | 4.63341 | + | 5.81011i | 0.256228 | + | 0.321300i | ||||
\(328\) | −10.0358 | − | 12.5845i | −0.554133 | − | 0.694861i | ||||
\(329\) | −29.6737 | + | 14.2901i | −1.63597 | + | 0.787839i | ||||
\(330\) | −0.680533 | + | 0.853361i | −0.0374621 | + | 0.0469760i | ||||
\(331\) | 6.14086 | 0.337532 | 0.168766 | − | 0.985656i | \(-0.446022\pi\) | ||||
0.168766 | + | 0.985656i | \(0.446022\pi\) | |||||||
\(332\) | −4.54790 | + | 5.70288i | −0.249598 | + | 0.312986i | ||||
\(333\) | −0.0847148 | + | 0.371160i | −0.00464234 | + | 0.0203394i | ||||
\(334\) | 4.99809 | − | 21.8981i | 0.273483 | − | 1.19821i | ||||
\(335\) | −0.504772 | + | 0.632965i | −0.0275787 | + | 0.0345825i | ||||
\(336\) | 1.65172 | 0.0901088 | ||||||||
\(337\) | −4.52153 | + | 5.66982i | −0.246304 | + | 0.308855i | −0.889580 | − | 0.456779i | \(-0.849003\pi\) |
0.643277 | + | 0.765634i | \(0.277575\pi\) | |||||||
\(338\) | −6.45407 | + | 3.10811i | −0.351055 | + | 0.169059i | ||||
\(339\) | −2.64238 | − | 3.31344i | −0.143514 | − | 0.179961i | ||||
\(340\) | 0.703492 | + | 0.882151i | 0.0381522 | + | 0.0478413i | ||||
\(341\) | −12.3286 | − | 5.93714i | −0.667631 | − | 0.321514i | ||||
\(342\) | 0.173715 | − | 0.761095i | 0.00939343 | − | 0.0411553i | ||||
\(343\) | −12.7757 | − | 55.9738i | −0.689821 | − | 3.02230i | ||||
\(344\) | −20.6128 | + | 9.92658i | −1.11137 | + | 0.535205i | ||||
\(345\) | −1.85955 | − | 0.895512i | −0.100115 | − | 0.0482127i | ||||
\(346\) | −4.50068 | − | 19.7187i | −0.241958 | − | 1.06009i | ||||
\(347\) | −1.50956 | −0.0810374 | −0.0405187 | − | 0.999179i | \(-0.512901\pi\) | ||||
−0.0405187 | + | 0.999179i | \(0.512901\pi\) | |||||||
\(348\) | 2.80572 | + | 5.59049i | 0.150402 | + | 0.299681i | ||||
\(349\) | 14.5718 | 0.780011 | 0.390006 | − | 0.920813i | \(-0.372473\pi\) | ||||
0.390006 | + | 0.920813i | \(0.372473\pi\) | |||||||
\(350\) | −5.05046 | − | 22.1275i | −0.269958 | − | 1.18276i | ||||
\(351\) | 2.04995 | + | 0.987204i | 0.109418 | + | 0.0526931i | ||||
\(352\) | −20.6864 | + | 9.96203i | −1.10259 | + | 0.530978i | ||||
\(353\) | 4.85202 | + | 21.2581i | 0.258247 | + | 1.13145i | 0.923124 | + | 0.384501i | \(0.125627\pi\) |
−0.664877 | + | 0.746953i | \(0.731516\pi\) | |||||||
\(354\) | 0.954018 | − | 4.17983i | 0.0507055 | − | 0.222155i | ||||
\(355\) | 2.95153 | + | 1.42138i | 0.156651 | + | 0.0754392i | ||||
\(356\) | −4.13237 | − | 5.18183i | −0.219015 | − | 0.274636i | ||||
\(357\) | 10.7086 | + | 13.4281i | 0.566759 | + | 0.710693i | ||||
\(358\) | 0.606419 | − | 0.292036i | 0.0320502 | − | 0.0154346i | ||||
\(359\) | 5.27111 | − | 6.60976i | 0.278198 | − | 0.348850i | −0.623027 | − | 0.782200i | \(-0.714097\pi\) |
0.901225 | + | 0.433351i | \(0.142669\pi\) | |||||||
\(360\) | 0.825080 | 0.0434855 | ||||||||
\(361\) | −11.3931 | + | 14.2865i | −0.599638 | + | 0.751922i | ||||
\(362\) | 2.78668 | − | 12.2093i | 0.146465 | − | 0.641704i | ||||
\(363\) | 1.44463 | − | 6.32935i | 0.0758236 | − | 0.332205i | ||||
\(364\) | −8.30338 | + | 10.4121i | −0.435215 | + | 0.545743i | ||||
\(365\) | −3.22725 | −0.168922 | ||||||||
\(366\) | −3.96174 | + | 4.96787i | −0.207084 | + | 0.259675i | ||||
\(367\) | 6.20750 | − | 2.98937i | 0.324029 | − | 0.156044i | −0.264797 | − | 0.964304i | \(-0.585305\pi\) |
0.588825 | + | 0.808260i | \(0.299591\pi\) | |||||||
\(368\) | 1.47995 | + | 1.85580i | 0.0771480 | + | 0.0967405i | ||||
\(369\) | −3.46665 | − | 4.34705i | −0.180467 | − | 0.226298i | ||||
\(370\) | 0.0895151 | + | 0.0431082i | 0.00465367 | + | 0.00224109i | ||||
\(371\) | −3.24351 | + | 14.2107i | −0.168395 | + | 0.737785i | ||||
\(372\) | 0.845639 | + | 3.70499i | 0.0438443 | + | 0.192095i | ||||
\(373\) | 17.3533 | − | 8.35690i | 0.898519 | − | 0.432704i | 0.0731653 | − | 0.997320i | \(-0.476690\pi\) |
0.825354 | + | 0.564616i | \(0.190976\pi\) | |||||||
\(374\) | 11.7603 | + | 5.66344i | 0.608108 | + | 0.292850i | ||||
\(375\) | −0.629049 | − | 2.75604i | −0.0324839 | − | 0.142321i | ||||
\(376\) | 18.9209 | 0.975773 | ||||||||
\(377\) | 11.9885 | + | 2.53086i | 0.617439 | + | 0.130346i | ||||
\(378\) | 4.61427 | 0.237333 | ||||||||
\(379\) | 7.78248 | + | 34.0973i | 0.399759 | + | 1.75146i | 0.628344 | + | 0.777936i | \(0.283733\pi\) |
−0.228585 | + | 0.973524i | \(0.573410\pi\) | |||||||
\(380\) | 0.254285 | + | 0.122457i | 0.0130445 | + | 0.00628192i | ||||
\(381\) | −15.3159 | + | 7.37574i | −0.784656 | + | 0.377870i | ||||
\(382\) | 0.236564 | + | 1.03645i | 0.0121037 | + | 0.0530296i | ||||
\(383\) | 4.55743 | − | 19.9674i | 0.232874 | − | 1.02029i | −0.714369 | − | 0.699769i | \(-0.753286\pi\) |
0.947243 | − | 0.320517i | \(-0.103857\pi\) | |||||||
\(384\) | 5.20423 | + | 2.50623i | 0.265577 | + | 0.127895i | ||||
\(385\) | −3.74512 | − | 4.69624i | −0.190869 | − | 0.239342i | ||||
\(386\) | −11.7614 | − | 14.7484i | −0.598641 | − | 0.750672i | ||||
\(387\) | −7.12025 | + | 3.42893i | −0.361943 | + | 0.174302i | ||||
\(388\) | −0.364130 | + | 0.456604i | −0.0184859 | + | 0.0231806i | ||||
\(389\) | −7.13745 | −0.361883 | −0.180942 | − | 0.983494i | \(-0.557914\pi\) | ||||
−0.180942 | + | 0.983494i | \(0.557914\pi\) | |||||||
\(390\) | 0.370221 | − | 0.464243i | 0.0187469 | − | 0.0235079i | ||||
\(391\) | −5.49232 | + | 24.0634i | −0.277759 | + | 1.21694i | ||||
\(392\) | −11.8488 | + | 51.9128i | −0.598453 | + | 2.62199i | ||||
\(393\) | 7.91531 | − | 9.92548i | 0.399274 | − | 0.500674i | ||||
\(394\) | −4.72325 | −0.237954 | ||||||||
\(395\) | −1.20292 | + | 1.50842i | −0.0605256 | + | 0.0758967i | ||||
\(396\) | −4.37686 | + | 2.10778i | −0.219945 | + | 0.105920i | ||||
\(397\) | −16.4091 | − | 20.5763i | −0.823548 | − | 1.03270i | −0.998839 | − | 0.0481802i | \(-0.984658\pi\) |
0.175290 | − | 0.984517i | \(-0.443914\pi\) | |||||||
\(398\) | 1.60189 | + | 2.00871i | 0.0802957 | + | 0.100688i | ||||
\(399\) | 3.87074 | + | 1.86405i | 0.193779 | + | 0.0933191i | ||||
\(400\) | −0.358760 | + | 1.57183i | −0.0179380 | + | 0.0785915i | ||||
\(401\) | 1.12506 | + | 4.92921i | 0.0561828 | + | 0.246153i | 0.995219 | − | 0.0976641i | \(-0.0311371\pi\) |
−0.939037 | + | 0.343817i | \(0.888280\pi\) | |||||||
\(402\) | 2.34349 | − | 1.12857i | 0.116883 | − | 0.0562878i | ||||
\(403\) | 6.70696 | + | 3.22990i | 0.334098 | + | 0.160893i | ||||
\(404\) | −1.16513 | − | 5.10476i | −0.0579673 | − | 0.253971i | ||||
\(405\) | 0.285007 | 0.0141621 | ||||||||
\(406\) | 24.1320 | − | 5.92460i | 1.19765 | − | 0.294033i | ||||
\(407\) | −1.59224 | −0.0789246 | ||||||||
\(408\) | −2.19561 | − | 9.61958i | −0.108699 | − | 0.476240i | ||||
\(409\) | −5.81490 | − | 2.80031i | −0.287529 | − | 0.138466i | 0.284560 | − | 0.958658i | \(-0.408152\pi\) |
−0.572089 | + | 0.820192i | \(0.693867\pi\) | |||||||
\(410\) | −1.30734 | + | 0.629583i | −0.0645651 | + | 0.0310929i | ||||
\(411\) | 2.16808 | + | 9.49900i | 0.106944 | + | 0.468551i | ||||
\(412\) | 2.09974 | − | 9.19957i | 0.103447 | − | 0.453230i | ||||
\(413\) | 21.2575 | + | 10.2371i | 1.04601 | + | 0.503734i | ||||
\(414\) | 4.13442 | + | 5.18440i | 0.203196 | + | 0.254799i | ||||
\(415\) | 1.11592 | + | 1.39932i | 0.0547785 | + | 0.0686901i | ||||
\(416\) | 11.2537 | − | 5.41951i | 0.551760 | − | 0.265713i | ||||
\(417\) | 7.78330 | − | 9.75995i | 0.381150 | − | 0.477947i | ||||
\(418\) | 3.26503 | 0.159698 | ||||||||
\(419\) | 0.767911 | − | 0.962930i | 0.0375149 | − | 0.0470422i | −0.762720 | − | 0.646729i | \(-0.776137\pi\) |
0.800235 | + | 0.599686i | \(0.204708\pi\) | |||||||
\(420\) | −0.371209 | + | 1.62637i | −0.0181131 | + | 0.0793588i | ||||
\(421\) | −1.96888 | + | 8.62624i | −0.0959574 | + | 0.420417i | −0.999975 | − | 0.00707841i | \(-0.997747\pi\) |
0.904018 | + | 0.427495i | \(0.140604\pi\) | |||||||
\(422\) | 2.76823 | − | 3.47125i | 0.134755 | − | 0.168978i | ||||
\(423\) | 6.53585 | 0.317784 | ||||||||
\(424\) | 5.22100 | − | 6.54693i | 0.253554 | − | 0.317947i | ||||
\(425\) | −15.1046 | + | 7.27399i | −0.732681 | + | 0.352840i | ||||
\(426\) | −6.56228 | − | 8.22884i | −0.317943 | − | 0.398688i | ||||
\(427\) | −21.8024 | − | 27.3393i | −1.05509 | − | 1.32304i | ||||
\(428\) | 9.96189 | + | 4.79739i | 0.481526 | + | 0.231891i | ||||
\(429\) | −2.11751 | + | 9.27742i | −0.102234 | + | 0.447918i | ||||
\(430\) | 0.458939 | + | 2.01074i | 0.0221320 | + | 0.0969667i | ||||
\(431\) | 8.89025 | − | 4.28132i | 0.428228 | − | 0.206224i | −0.207339 | − | 0.978269i | \(-0.566480\pi\) |
0.635568 | + | 0.772045i | \(0.280766\pi\) | |||||||
\(432\) | −0.295316 | − | 0.142216i | −0.0142084 | − | 0.00684239i | ||||
\(433\) | 7.36319 | + | 32.2602i | 0.353852 | + | 1.55033i | 0.768200 | + | 0.640210i | \(0.221153\pi\) |
−0.414348 | + | 0.910119i | \(0.635990\pi\) | |||||||
\(434\) | 15.0968 | 0.724671 | ||||||||
\(435\) | 1.49055 | − | 0.365941i | 0.0714662 | − | 0.0175455i | ||||
\(436\) | 8.63182 | 0.413389 | ||||||||
\(437\) | 1.37384 | + | 6.01920i | 0.0657198 | + | 0.287937i | ||||
\(438\) | 9.34180 | + | 4.49877i | 0.446368 | + | 0.214960i | ||||
\(439\) | 9.70775 | − | 4.67500i | 0.463326 | − | 0.223126i | −0.187633 | − | 0.982239i | \(-0.560082\pi\) |
0.650958 | + | 0.759113i | \(0.274367\pi\) | |||||||
\(440\) | 0.767871 | + | 3.36426i | 0.0366068 | + | 0.160385i | ||||
\(441\) | −4.09291 | + | 17.9322i | −0.194901 | + | 0.853915i | ||||
\(442\) | −6.39778 | − | 3.08101i | −0.304311 | − | 0.146549i | ||||
\(443\) | 21.2232 | + | 26.6130i | 1.00834 | + | 1.26442i | 0.964138 | + | 0.265401i | \(0.0855042\pi\) |
0.0442056 | + | 0.999022i | \(0.485924\pi\) | |||||||
\(444\) | 0.275708 | + | 0.345727i | 0.0130845 | + | 0.0164075i | ||||
\(445\) | −1.46522 | + | 0.705614i | −0.0694582 | + | 0.0334493i | ||||
\(446\) | −5.93502 | + | 7.44227i | −0.281031 | + | 0.352402i | ||||
\(447\) | 22.6007 | 1.06898 | ||||||||
\(448\) | 17.8534 | − | 22.3875i | 0.843495 | − | 1.05771i | ||||
\(449\) | 4.86933 | − | 21.3339i | 0.229798 | − | 1.00681i | −0.720007 | − | 0.693967i | \(-0.755861\pi\) |
0.949805 | − | 0.312843i | \(-0.101282\pi\) | |||||||
\(450\) | −1.00224 | + | 4.39109i | −0.0472459 | + | 0.206998i | ||||
\(451\) | 14.4988 | − | 18.1809i | 0.682721 | − | 0.856106i | ||||
\(452\) | −4.92263 | −0.231541 | ||||||||
\(453\) | 4.13725 | − | 5.18795i | 0.194385 | − | 0.243751i | ||||
\(454\) | −23.0871 | + | 11.1182i | −1.08353 | + | 0.521802i | ||||
\(455\) | 2.03741 | + | 2.55483i | 0.0955153 | + | 0.119772i | ||||
\(456\) | −1.53884 | − | 1.92964i | −0.0720628 | − | 0.0903639i | ||||
\(457\) | −26.2149 | − | 12.6244i | −1.22628 | − | 0.590546i | −0.295227 | − | 0.955427i | \(-0.595395\pi\) |
−0.931054 | + | 0.364881i | \(0.881110\pi\) | |||||||
\(458\) | −0.712379 | + | 3.12114i | −0.0332873 | + | 0.145841i | ||||
\(459\) | −0.758427 | − | 3.32288i | −0.0354003 | − | 0.155099i | ||||
\(460\) | −2.15993 | + | 1.04017i | −0.100707 | + | 0.0484980i | ||||
\(461\) | −16.8951 | − | 8.13623i | −0.786882 | − | 0.378942i | −0.00311295 | − | 0.999995i | \(-0.500991\pi\) |
−0.783769 | + | 0.621053i | \(0.786705\pi\) | |||||||
\(462\) | 4.29433 | + | 18.8147i | 0.199790 | + | 0.875338i | ||||
\(463\) | 22.8658 | 1.06266 | 0.531332 | − | 0.847164i | \(-0.321692\pi\) | ||||
0.531332 | + | 0.847164i | \(0.321692\pi\) | |||||||
\(464\) | −1.72706 | − | 0.364595i | −0.0801768 | − | 0.0169259i | ||||
\(465\) | 0.932477 | 0.0432426 | ||||||||
\(466\) | −0.683136 | − | 2.99301i | −0.0316456 | − | 0.138649i | ||||
\(467\) | −17.6886 | − | 8.51838i | −0.818530 | − | 0.394183i | −0.0227293 | − | 0.999742i | \(-0.507236\pi\) |
−0.795801 | + | 0.605558i | \(0.792950\pi\) | |||||||
\(468\) | 2.38109 | − | 1.14667i | 0.110066 | − | 0.0530048i | ||||
\(469\) | 3.18524 | + | 13.9554i | 0.147081 | + | 0.644402i | ||||
\(470\) | 0.379552 | − | 1.66293i | 0.0175074 | − | 0.0767051i | ||||
\(471\) | −12.0543 | − | 5.80504i | −0.555432 | − | 0.267482i | ||||
\(472\) | −8.45109 | − | 10.5973i | −0.388993 | − | 0.487782i | ||||
\(473\) | −20.6080 | − | 25.8416i | −0.947558 | − | 1.18820i | ||||
\(474\) | 5.58477 | − | 2.68948i | 0.256517 | − | 0.123532i | ||||
\(475\) | −2.61463 | + | 3.27864i | −0.119967 | + | 0.150434i | ||||
\(476\) | 19.9496 | 0.914389 | ||||||||
\(477\) | 1.80349 | − | 2.26150i | 0.0825761 | − | 0.103547i | ||||
\(478\) | −3.74778 | + | 16.4201i | −0.171420 | + | 0.751038i | ||||
\(479\) | −5.01171 | + | 21.9577i | −0.228991 | + | 1.00327i | 0.721474 | + | 0.692442i | \(0.243465\pi\) |
−0.950465 | + | 0.310833i | \(0.899392\pi\) | |||||||
\(480\) | 0.975524 | − | 1.22327i | 0.0445264 | − | 0.0558343i | ||||
\(481\) | 0.866207 | 0.0394957 | ||||||||
\(482\) | −3.21150 | + | 4.02709i | −0.146280 | + | 0.183429i | ||||
\(483\) | −32.8785 | + | 15.8335i | −1.49603 | + | 0.720448i | ||||
\(484\) | −4.70162 | − | 5.89565i | −0.213710 | − | 0.267984i | ||||
\(485\) | 0.0893470 | + | 0.112038i | 0.00405704 | + | 0.00508737i | ||||
\(486\) | −0.824998 | − | 0.397298i | −0.0374227 | − | 0.0180218i | ||||
\(487\) | −0.382806 | + | 1.67718i | −0.0173466 | + | 0.0760003i | −0.982860 | − | 0.184352i | \(-0.940981\pi\) |
0.965514 | + | 0.260352i | \(0.0838386\pi\) | |||||||
\(488\) | 4.47018 | + | 19.5852i | 0.202356 | + | 0.886578i | ||||
\(489\) | 9.15044 | − | 4.40662i | 0.413797 | − | 0.199274i | ||||
\(490\) | 4.32484 | + | 2.08273i | 0.195376 | + | 0.0940882i | ||||
\(491\) | −6.55025 | − | 28.6985i | −0.295609 | − | 1.29515i | −0.876593 | − | 0.481232i | \(-0.840190\pi\) |
0.580985 | − | 0.813914i | \(-0.302668\pi\) | |||||||
\(492\) | −6.45822 | −0.291159 | ||||||||
\(493\) | −8.23296 | − | 16.4044i | −0.370794 | − | 0.738818i | ||||
\(494\) | −1.77623 | −0.0799165 | ||||||||
\(495\) | 0.265245 | + | 1.16212i | 0.0119219 | + | 0.0522332i | ||||
\(496\) | −0.966204 | − | 0.465299i | −0.0433838 | − | 0.0208926i | ||||
\(497\) | 52.1858 | − | 25.1313i | 2.34085 | − | 1.12730i | ||||
\(498\) | −1.27957 | − | 5.60616i | −0.0573388 | − | 0.251218i | ||||
\(499\) | 3.09035 | − | 13.5397i | 0.138343 | − | 0.606121i | −0.857456 | − | 0.514557i | \(-0.827956\pi\) |
0.995799 | − | 0.0915640i | \(-0.0291866\pi\) | |||||||
\(500\) | −2.95838 | − | 1.42468i | −0.132303 | − | 0.0637138i | ||||
\(501\) | −15.2939 | − | 19.1780i | −0.683283 | − | 0.856810i | ||||
\(502\) | 15.3069 | + | 19.1943i | 0.683182 | + | 0.856683i | ||||
\(503\) | 23.8857 | − | 11.5027i | 1.06501 | − | 0.512881i | 0.182514 | − | 0.983203i | \(-0.441576\pi\) |
0.882495 | + | 0.470322i | \(0.155862\pi\) | |||||||
\(504\) | 9.09558 | − | 11.4055i | 0.405149 | − | 0.508041i | ||||
\(505\) | −1.28477 | −0.0571717 | ||||||||
\(506\) | −17.2916 | + | 21.6830i | −0.768707 | + | 0.963928i | ||||
\(507\) | −1.74081 | + | 7.62699i | −0.0773121 | + | 0.338726i | ||||
\(508\) | −4.39374 | + | 19.2502i | −0.194941 | + | 0.854091i | ||||
\(509\) | −3.59869 | + | 4.51261i | −0.159509 | + | 0.200018i | −0.855163 | − | 0.518359i | \(-0.826543\pi\) |
0.695654 | + | 0.718377i | \(0.255115\pi\) | |||||||
\(510\) | −0.889490 | −0.0393873 | ||||||||
\(511\) | −35.5768 | + | 44.6119i | −1.57383 | + | 1.97352i | ||||
\(512\) | −3.33106 | + | 1.60415i | −0.147213 | + | 0.0708942i | ||||
\(513\) | −0.531561 | − | 0.666556i | −0.0234690 | − | 0.0294292i | ||||
\(514\) | 2.11580 | + | 2.65313i | 0.0933239 | + | 0.117024i | ||||
\(515\) | −2.08607 | − | 1.00460i | −0.0919232 | − | 0.0442679i | ||||
\(516\) | −2.04262 | + | 8.94931i | −0.0899214 | + | 0.393972i | ||||
\(517\) | 6.08267 | + | 26.6499i | 0.267515 | + | 1.17206i | ||||
\(518\) | 1.58271 | − | 0.762193i | 0.0695403 | − | 0.0334888i | ||||
\(519\) | −19.9009 | − | 9.58379i | −0.873554 | − | 0.420682i | ||||
\(520\) | −0.417735 | − | 1.83022i | −0.0183189 | − | 0.0802603i | ||||
\(521\) | 23.7796 | 1.04180 | 0.520901 | − | 0.853617i | \(-0.325596\pi\) | ||||
0.520901 | + | 0.853617i | \(0.325596\pi\) | |||||||
\(522\) | −4.82474 | − | 1.01854i | −0.211173 | − | 0.0445802i | ||||
\(523\) | 24.9044 | 1.08899 | 0.544497 | − | 0.838763i | \(-0.316720\pi\) | ||||
0.544497 | + | 0.838763i | \(0.316720\pi\) | |||||||
\(524\) | −3.28126 | − | 14.3761i | −0.143343 | − | 0.628025i | ||||
\(525\) | −22.3319 | − | 10.7545i | −0.974646 | − | 0.469365i | ||||
\(526\) | 14.5629 | − | 7.01311i | 0.634971 | − | 0.305786i | ||||
\(527\) | −2.48140 | − | 10.8717i | −0.108091 | − | 0.473579i | ||||
\(528\) | 0.305048 | − | 1.33650i | 0.0132755 | − | 0.0581639i | ||||
\(529\) | −26.5270 | − | 12.7747i | −1.15335 | − | 0.555422i | ||||
\(530\) | −0.470665 | − | 0.590195i | −0.0204444 | − | 0.0256364i | ||||
\(531\) | −2.91925 | − | 3.66063i | −0.126685 | − | 0.158858i | ||||
\(532\) | 4.49599 | − | 2.16515i | 0.194926 | − | 0.0938713i | ||||
\(533\) | −7.88759 | + | 9.89072i | −0.341649 | + | 0.428415i | ||||
\(534\) | 5.22494 | 0.226105 | ||||||||
\(535\) | 1.69155 | − | 2.12114i | 0.0731322 | − | 0.0917048i | ||||
\(536\) | 1.82988 | − | 8.01722i | 0.0790387 | − | 0.346291i | ||||
\(537\) | 0.163565 | − | 0.716626i | 0.00705836 | − | 0.0309247i | ||||
\(538\) | 8.18466 | − | 10.2632i | 0.352866 | − | 0.442480i | ||||
\(539\) | −76.9277 | −3.31351 | ||||||||
\(540\) | 0.206403 | − | 0.258821i | 0.00888218 | − | 0.0111379i | ||||
\(541\) | 18.8102 | − | 9.05851i | 0.808713 | − | 0.389456i | 0.0166244 | − | 0.999862i | \(-0.494708\pi\) |
0.792089 | + | 0.610406i | \(0.208994\pi\) | |||||||
\(542\) | −17.2361 | − | 21.6133i | −0.740352 | − | 0.928372i | ||||
\(543\) | −8.52713 | − | 10.6927i | −0.365934 | − | 0.458867i | ||||
\(544\) | −16.8580 | − | 8.11838i | −0.722780 | − | 0.348073i | ||||
\(545\) | 0.471300 | − | 2.06490i | 0.0201883 | − | 0.0884506i | ||||
\(546\) | −2.33619 | − | 10.2355i | −0.0999796 | − | 0.438039i | ||||
\(547\) | −0.170736 | + | 0.0822219i | −0.00730012 | + | 0.00351555i | −0.437530 | − | 0.899204i | \(-0.644147\pi\) |
0.430230 | + | 0.902719i | \(0.358432\pi\) | |||||||
\(548\) | 10.1964 | + | 4.91032i | 0.435568 | + | 0.209759i | ||||
\(549\) | 1.54413 | + | 6.76529i | 0.0659020 | + | 0.288735i | ||||
\(550\) | −18.8374 | −0.803229 | ||||||||
\(551\) | −3.63583 | − | 2.80348i | −0.154891 | − | 0.119432i | ||||
\(552\) | 20.9644 | 0.892306 | ||||||||
\(553\) | 7.59073 | + | 33.2572i | 0.322791 | + | 1.41424i | ||||
\(554\) | 6.96766 | + | 3.35545i | 0.296027 | + | 0.142559i | ||||
\(555\) | 0.0977583 | − | 0.0470779i | 0.00414961 | − | 0.00199835i | ||||
\(556\) | −3.22654 | − | 14.1364i | −0.136836 | − | 0.599516i | ||||
\(557\) | 5.48081 | − | 24.0130i | 0.232229 | − | 1.01746i | −0.715556 | − | 0.698555i | \(-0.753827\pi\) |
0.947786 | − | 0.318908i | \(-0.103316\pi\) | |||||||
\(558\) | −2.69920 | − | 1.29987i | −0.114266 | − | 0.0550278i | ||||
\(559\) | 11.2111 | + | 14.0583i | 0.474179 | + | 0.594602i | ||||
\(560\) | −0.293509 | − | 0.368049i | −0.0124030 | − | 0.0155529i | ||||
\(561\) | 12.8432 | − | 6.18497i | 0.542241 | − | 0.261129i | ||||
\(562\) | 7.23671 | − | 9.07454i | 0.305262 | − | 0.382786i | ||||
\(563\) | −24.8717 | −1.04822 | −0.524109 | − | 0.851651i | \(-0.675602\pi\) | ||||
−0.524109 | + | 0.851651i | \(0.675602\pi\) | |||||||
\(564\) | 4.73329 | − | 5.93535i | 0.199307 | − | 0.249924i | ||||
\(565\) | −0.268777 | + | 1.17759i | −0.0113075 | + | 0.0495415i | ||||
\(566\) | −5.02117 | + | 21.9992i | −0.211056 | + | 0.924695i | ||||
\(567\) | 3.14188 | − | 3.93979i | 0.131947 | − | 0.165456i | ||||
\(568\) | −33.2754 | −1.39620 | ||||||||
\(569\) | −8.90531 | + | 11.1669i | −0.373330 | + | 0.468141i | −0.932635 | − | 0.360821i | \(-0.882497\pi\) |
0.559305 | + | 0.828962i | \(0.311068\pi\) | |||||||
\(570\) | −0.200462 | + | 0.0965373i | −0.00839642 | + | 0.00404350i | ||||
\(571\) | 6.56913 | + | 8.23743i | 0.274909 | + | 0.344726i | 0.900050 | − | 0.435787i | \(-0.143530\pi\) |
−0.625141 | + | 0.780512i | \(0.714958\pi\) | |||||||
\(572\) | 6.89153 | + | 8.64171i | 0.288149 | + | 0.361328i | ||||
\(573\) | 1.04603 | + | 0.503742i | 0.0436986 | + | 0.0210441i | ||||
\(574\) | −5.70894 | + | 25.0125i | −0.238286 | + | 1.04400i | ||||
\(575\) | −7.92629 | − | 34.7274i | −0.330549 | − | 1.44823i | ||||
\(576\) | −5.11967 | + | 2.46550i | −0.213320 | + | 0.102729i | ||||
\(577\) | −7.60750 | − | 3.66358i | −0.316704 | − | 0.152517i | 0.268778 | − | 0.963202i | \(-0.413380\pi\) |
−0.585482 | + | 0.810686i | \(0.699095\pi\) | |||||||
\(578\) | −1.09687 | − | 4.80572i | −0.0456239 | − | 0.199892i | ||||
\(579\) | −20.6010 | −0.856148 | ||||||||
\(580\) | 0.747140 | − | 1.61862i | 0.0310233 | − | 0.0672093i | ||||
\(581\) | 31.6454 | 1.31287 | ||||||||
\(582\) | −0.102449 | − | 0.448860i | −0.00424666 | − | 0.0186058i | ||||
\(583\) | 10.8997 | + | 5.24903i | 0.451420 | + | 0.217392i | ||||
\(584\) | 29.5344 | − | 14.2230i | 1.22214 | − | 0.588553i | ||||
\(585\) | −0.144298 | − | 0.632210i | −0.00596598 | − | 0.0261387i | ||||
\(586\) | −0.938757 | + | 4.11296i | −0.0387797 | + | 0.169905i | ||||
\(587\) | −8.42975 | − | 4.05955i | −0.347933 | − | 0.167556i | 0.251752 | − | 0.967792i | \(-0.418993\pi\) |
−0.599685 | + | 0.800236i | \(0.704708\pi\) | |||||||
\(588\) | 13.3206 | + | 16.7034i | 0.549330 | + | 0.688839i | ||||
\(589\) | −1.73914 | − | 2.18082i | −0.0716602 | − | 0.0898590i | ||||
\(590\) | −1.10091 | + | 0.530169i | −0.0453237 | + | 0.0218267i | ||||
\(591\) | −3.21608 | + | 4.03284i | −0.132292 | + | 0.165889i | ||||
\(592\) | −0.124786 | −0.00512866 | ||||||||
\(593\) | −3.16050 | + | 3.96314i | −0.129786 | + | 0.162747i | −0.842478 | − | 0.538730i | \(-0.818904\pi\) |
0.712692 | + | 0.701477i | \(0.247476\pi\) | |||||||
\(594\) | 0.852187 | − | 3.73368i | 0.0349657 | − | 0.153195i | ||||
\(595\) | 1.08925 | − | 4.77234i | 0.0446551 | − | 0.195647i | ||||
\(596\) | 16.3675 | − | 20.5242i | 0.670439 | − | 0.840704i | ||||
\(597\) | 2.80583 | 0.114835 | ||||||||
\(598\) | 9.40694 | − | 11.7959i | 0.384679 | − | 0.482372i | ||||
\(599\) | −20.9430 | + | 10.0856i | −0.855707 | + | 0.412087i | −0.809693 | − | 0.586854i | \(-0.800366\pi\) |
−0.0460140 | + | 0.998941i | \(0.514652\pi\) | |||||||
\(600\) | 8.87824 | + | 11.1330i | 0.362452 | + | 0.454501i | ||||
\(601\) | −3.78317 | − | 4.74395i | −0.154319 | − | 0.193510i | 0.698662 | − | 0.715452i | \(-0.253779\pi\) |
−0.852981 | + | 0.521942i | \(0.825208\pi\) | |||||||
\(602\) | 32.8548 | + | 15.8220i | 1.33906 | + | 0.644858i | ||||
\(603\) | 0.632094 | − | 2.76938i | 0.0257409 | − | 0.112778i | ||||
\(604\) | −1.71508 | − | 7.51427i | −0.0697857 | − | 0.305751i | ||||
\(605\) | −1.66706 | + | 0.802815i | −0.0677758 | + | 0.0326391i | ||||
\(606\) | 3.71898 | + | 1.79097i | 0.151073 | + | 0.0727531i | ||||
\(607\) | 8.74796 | + | 38.3273i | 0.355069 | + | 1.55566i | 0.765299 | + | 0.643675i | \(0.222591\pi\) |
−0.410230 | + | 0.911982i | \(0.634552\pi\) | |||||||
\(608\) | −4.68033 | −0.189813 | ||||||||
\(609\) | 11.3730 | − | 24.6386i | 0.460857 | − | 0.998408i | ||||
\(610\) | 1.81097 | 0.0733242 | ||||||||
\(611\) | −3.30907 | − | 14.4980i | −0.133871 | − | 0.586526i | ||||
\(612\) | −3.56684 | − | 1.71770i | −0.144181 | − | 0.0694340i | ||||
\(613\) | −22.2460 | + | 10.7131i | −0.898506 | + | 0.432698i | −0.825349 | − | 0.564623i | \(-0.809022\pi\) |
−0.0731567 | + | 0.997320i | \(0.523307\pi\) | |||||||
\(614\) | 0.571719 | + | 2.50487i | 0.0230727 | + | 0.101088i | ||||
\(615\) | −0.352620 | + | 1.54493i | −0.0142190 | + | 0.0622976i | ||||
\(616\) | 54.9708 | + | 26.4725i | 2.21484 | + | 1.06661i | ||||
\(617\) | 11.8195 | + | 14.8212i | 0.475837 | + | 0.596680i | 0.960590 | − | 0.277971i | \(-0.0896618\pi\) |
−0.484753 | + | 0.874651i | \(0.661090\pi\) | |||||||
\(618\) | 4.63805 | + | 5.81594i | 0.186570 | + | 0.233951i | ||||
\(619\) | 25.7787 | − | 12.4143i | 1.03613 | − | 0.498975i | 0.163085 | − | 0.986612i | \(-0.447855\pi\) |
0.873046 | + | 0.487637i | \(0.162141\pi\) | |||||||
\(620\) | 0.675303 | − | 0.846804i | 0.0271208 | − | 0.0340085i | ||||
\(621\) | 7.24173 | 0.290601 | ||||||||
\(622\) | −8.97499 | + | 11.2543i | −0.359864 | + | 0.451256i | ||||
\(623\) | −6.39837 | + | 28.0331i | −0.256345 | + | 1.12312i | ||||
\(624\) | −0.165951 | + | 0.727081i | −0.00664338 | + | 0.0291065i | ||||
\(625\) | 14.8317 | − | 18.5983i | 0.593267 | − | 0.743933i | ||||
\(626\) | −16.6881 | −0.666989 | ||||||||
\(627\) | 2.22318 | − | 2.78778i | 0.0887852 | − | 0.111333i | ||||
\(628\) | −14.0015 | + | 6.74275i | −0.558719 | + | 0.269065i | ||||
\(629\) | −0.809022 | − | 1.01448i | −0.0322578 | − | 0.0404500i | ||||
\(630\) | −0.819951 | − | 1.02819i | −0.0326676 | − | 0.0409639i | ||||
\(631\) | −18.9321 | − | 9.11724i | −0.753676 | − | 0.362951i | 0.0172705 | − | 0.999851i | \(-0.494502\pi\) |
−0.770947 | + | 0.636899i | \(0.780217\pi\) | |||||||
\(632\) | 4.36078 | − | 19.1058i | 0.173463 | − | 0.759989i | ||||
\(633\) | −1.07895 | − | 4.72718i | −0.0428844 | − | 0.187889i | ||||
\(634\) | 1.55097 | − | 0.746907i | 0.0615968 | − | 0.0296635i | ||||
\(635\) | 4.36513 | + | 2.10214i | 0.173225 | + | 0.0834207i | ||||
\(636\) | −0.747629 | − | 3.27558i | −0.0296454 | − | 0.129885i | ||||
\(637\) | 41.8500 | 1.65816 | ||||||||
\(638\) | −0.337120 | − | 20.6208i | −0.0133467 | − | 0.816385i | ||||
\(639\) | −11.4943 | −0.454707 | ||||||||
\(640\) | −0.366331 | − | 1.60500i | −0.0144805 | − | 0.0634432i | ||||
\(641\) | −5.46803 | − | 2.63327i | −0.215974 | − | 0.104008i | 0.322769 | − | 0.946478i | \(-0.395386\pi\) |
−0.538743 | + | 0.842470i | \(0.681101\pi\) | |||||||
\(642\) | −7.85332 | + | 3.78196i | −0.309946 | + | 0.149262i | ||||
\(643\) | 10.0678 | + | 44.1097i | 0.397033 | + | 1.73952i | 0.638976 | + | 0.769226i | \(0.279358\pi\) |
−0.241943 | + | 0.970291i | \(0.577785\pi\) | |||||||
\(644\) | −9.43203 | + | 41.3244i | −0.371674 | + | 1.62841i | ||||
\(645\) | 2.02932 | + | 0.977270i | 0.0799045 | + | 0.0384800i | ||||
\(646\) | 1.65897 | + | 2.08028i | 0.0652713 | + | 0.0818476i | ||||
\(647\) | −7.22803 | − | 9.06366i | −0.284163 | − | 0.356329i | 0.619179 | − | 0.785250i | \(-0.287465\pi\) |
−0.903342 | + | 0.428921i | \(0.858894\pi\) | |||||||
\(648\) | −2.60826 | + | 1.25607i | −0.102462 | + | 0.0493431i | ||||
\(649\) | 12.2094 | − | 15.3101i | 0.479260 | − | 0.600973i | ||||
\(650\) | 10.2479 | 0.401954 | ||||||||
\(651\) | 10.2795 | − | 12.8901i | 0.402886 | − | 0.505202i | ||||
\(652\) | 2.62503 | − | 11.5010i | 0.102804 | − | 0.450415i | ||||
\(653\) | −2.81311 | + | 12.3250i | −0.110086 | + | 0.482316i | 0.889588 | + | 0.456764i | \(0.150992\pi\) |
−0.999673 | + | 0.0255523i | \(0.991866\pi\) | |||||||
\(654\) | −4.24271 | + | 5.32019i | −0.165903 | + | 0.208036i | ||||
\(655\) | −3.61821 | −0.141375 | ||||||||
\(656\) | 1.13628 | − | 1.42486i | 0.0443645 | − | 0.0556313i | ||||
\(657\) | 10.2021 | − | 4.91305i | 0.398020 | − | 0.191676i | ||||
\(658\) | −18.8033 | − | 23.5786i | −0.733030 | − | 0.919190i | ||||
\(659\) | 28.8673 | + | 36.1984i | 1.12451 | + | 1.41009i | 0.900148 | + | 0.435583i | \(0.143458\pi\) |
0.224360 | + | 0.974506i | \(0.427971\pi\) | |||||||
\(660\) | 1.24744 | + | 0.600733i | 0.0485564 | + | 0.0233835i | ||||
\(661\) | 0.706721 | − | 3.09635i | 0.0274882 | − | 0.120434i | −0.959322 | − | 0.282313i | \(-0.908898\pi\) |
0.986811 | + | 0.161879i | \(0.0517555\pi\) | |||||||
\(662\) | 1.25125 | + | 5.48207i | 0.0486311 | + | 0.213067i | ||||
\(663\) | −6.98693 | + | 3.36473i | −0.271350 | + | 0.130675i | ||||
\(664\) | −16.3795 | − | 7.88794i | −0.635647 | − | 0.306112i | ||||
\(665\) | −0.272465 | − | 1.19375i | −0.0105657 | − | 0.0462915i | ||||
\(666\) | −0.348603 | −0.0135081 | ||||||||
\(667\) | 37.8732 | − | 9.29819i | 1.46646 | − | 0.360027i | ||||
\(668\) | −28.4919 | −1.10239 | ||||||||
\(669\) | 2.31324 | + | 10.1350i | 0.0894350 | + | 0.391840i | ||||
\(670\) | −0.667912 | − | 0.321649i | −0.0258037 | − | 0.0124264i | ||||
\(671\) | −26.1484 | + | 12.5924i | −1.00945 | + | 0.486124i | ||||
\(672\) | −6.15580 | − | 26.9703i | −0.237465 | − | 1.04040i | ||||
\(673\) | −2.51910 | + | 11.0369i | −0.0971043 | + | 0.425442i | −0.999990 | − | 0.00443874i | \(-0.998587\pi\) |
0.902886 | + | 0.429880i | \(0.141444\pi\) | |||||||
\(674\) | −5.98287 | − | 2.88120i | −0.230451 | − | 0.110980i | ||||
\(675\) | 3.06680 | + | 3.84565i | 0.118041 | + | 0.148019i | ||||
\(676\) | 5.66554 | + | 7.10436i | 0.217905 | + | 0.273245i | ||||
\(677\) | −4.00868 | + | 1.93048i | −0.154066 | + | 0.0741943i | −0.509328 | − | 0.860573i | \(-0.670106\pi\) |
0.355262 | + | 0.934767i | \(0.384392\pi\) | |||||||
\(678\) | 2.41957 | − | 3.03404i | 0.0929229 | − | 0.116522i | ||||
\(679\) | 2.53370 | 0.0972345 | ||||||||
\(680\) | −1.75335 | + | 2.19863i | −0.0672379 | + | 0.0843136i | ||||
\(681\) | −6.22713 | + | 27.2828i | −0.238624 | + | 1.04548i | ||||
\(682\) | 2.78816 | − | 12.2157i | 0.106764 | − | 0.467764i | ||||
\(683\) | 15.5911 | − | 19.5506i | 0.596577 | − | 0.748084i | −0.388263 | − | 0.921549i | \(-0.626925\pi\) |
0.984840 | + | 0.173465i | \(0.0554962\pi\) | |||||||
\(684\) | −0.990273 | −0.0378640 | ||||||||
\(685\) | 1.73137 | − | 2.17107i | 0.0661523 | − | 0.0829523i | ||||
\(686\) | 47.3659 | − | 22.8102i | 1.80844 | − | 0.870897i | ||||
\(687\) | 2.17985 | + | 2.73345i | 0.0831665 | + | 0.104287i | ||||
\(688\) | −1.61507 | − | 2.02523i | −0.0615740 | − | 0.0772114i | ||||
\(689\) | −5.92963 | − | 2.85556i | −0.225901 | − | 0.108788i | ||||
\(690\) | 0.420544 | − | 1.84253i | 0.0160099 | − | 0.0701438i | ||||
\(691\) | 2.00976 | + | 8.80534i | 0.0764549 | + | 0.334971i | 0.998661 | − | 0.0517274i | \(-0.0164727\pi\) |
−0.922206 | + | 0.386698i | \(0.873616\pi\) | |||||||
\(692\) | −23.1156 | + | 11.1319i | −0.878723 | + | 0.423171i | ||||
\(693\) | 18.9885 | + | 9.14439i | 0.721314 | + | 0.347367i | ||||
\(694\) | −0.307584 | − | 1.34761i | −0.0116757 | − | 0.0511548i | ||||
\(695\) | −3.55787 | −0.134958 | ||||||||
\(696\) | −12.0281 | + | 9.91800i | −0.455922 | + | 0.375941i | ||||
\(697\) | 18.9506 | 0.717807 | ||||||||
\(698\) | 2.96912 | + | 13.0086i | 0.112383 | + | 0.492381i | ||||
\(699\) | −3.02067 | − | 1.45468i | −0.114252 | − | 0.0550209i | ||||
\(700\) | −25.9393 | + | 12.4917i | −0.980413 | + | 0.472142i | ||||
\(701\) | 5.98486 | + | 26.2214i | 0.226045 | + | 0.990368i | 0.952830 | + | 0.303504i | \(0.0981564\pi\) |
−0.726785 | + | 0.686865i | \(0.758986\pi\) | |||||||
\(702\) | −0.463604 | + | 2.03118i | −0.0174976 | + | 0.0766621i | ||||
\(703\) | −0.292430 | − | 0.140827i | −0.0110292 | − | 0.00531138i | ||||
\(704\) | −14.8178 | − | 18.5809i | −0.558466 | − | 0.700294i | ||||
\(705\) | −1.16141 | − | 1.45637i | −0.0437414 | − | 0.0548499i | ||||
\(706\) | −17.9889 | + | 8.66300i | −0.677021 | + | 0.326036i | ||||
\(707\) | −14.1632 | + | 17.7601i | −0.532661 | + | 0.667936i | ||||
\(708\) | −5.43844 | −0.204389 | ||||||||
\(709\) | −22.0688 | + | 27.6734i | −0.828811 | + | 1.03930i | 0.169740 | + | 0.985489i | \(0.445707\pi\) |
−0.998551 | + | 0.0538071i | \(0.982864\pi\) | |||||||
\(710\) | −0.667500 | + | 2.92451i | −0.0250508 | + | 0.109755i | ||||
\(711\) | 1.50634 | − | 6.59971i | 0.0564922 | − | 0.247509i | ||||
\(712\) | 10.2993 | − | 12.9149i | 0.385983 | − | 0.484008i | ||||
\(713\) | 23.6933 | 0.887320 | ||||||||
\(714\) | −9.80563 | + | 12.2959i | −0.366966 | + | 0.460161i | ||||
\(715\) | 2.44354 | − | 1.17675i | 0.0913834 | − | 0.0440079i | ||||
\(716\) | −0.532330 | − | 0.667521i | −0.0198941 | − | 0.0249464i | ||||
\(717\) | 11.4681 | + | 14.3805i | 0.428282 | + | 0.537049i | ||||
\(718\) | 6.97470 | + | 3.35884i | 0.260293 | + | 0.125351i | ||||
\(719\) | −2.35378 | + | 10.3126i | −0.0877813 | + | 0.384595i | −0.999666 | − | 0.0258519i | \(-0.991770\pi\) |
0.911884 | + | 0.410447i | \(0.134627\pi\) | |||||||
\(720\) | 0.0207875 | + | 0.0910761i | 0.000774706 | + | 0.00339421i | ||||
\(721\) | −36.8836 | + | 17.7622i | −1.37362 | + | 0.661499i | ||||
\(722\) | −15.0753 | − | 7.25988i | −0.561045 | − | 0.270185i | ||||
\(723\) | 1.25172 | + | 5.48413i | 0.0465518 | + | 0.203957i | ||||
\(724\) | −15.8857 | −0.590386 | ||||||||
\(725\) | 20.9767 | + | 16.1745i | 0.779053 | + | 0.600706i | ||||
\(726\) | 5.94470 | 0.220628 | ||||||||
\(727\) | −10.2003 | − | 44.6903i | −0.378307 | − | 1.65747i | −0.702653 | − | 0.711532i | \(-0.748001\pi\) |
0.324346 | − | 0.945938i | \(-0.394856\pi\) | |||||||
\(728\) | −29.9050 | − | 14.4015i | −1.10835 | − | 0.533755i | ||||
\(729\) | −0.900969 | + | 0.433884i | −0.0333692 | + | 0.0160698i | ||||
\(730\) | −0.657578 | − | 2.88104i | −0.0243380 | − | 0.106632i | ||||
\(731\) | 5.99376 | − | 26.2604i | 0.221687 | − | 0.971275i | ||||
\(732\) | 7.26198 | + | 3.49719i | 0.268411 | + | 0.129260i | ||||
\(733\) | −32.3666 | − | 40.5865i | −1.19549 | − | 1.49910i | −0.820093 | − | 0.572231i | \(-0.806078\pi\) |
−0.375396 | − | 0.926864i | \(-0.622493\pi\) | |||||||
\(734\) | 3.93350 | + | 4.93245i | 0.145188 | + | 0.182060i | ||||
\(735\) | 4.72310 | − | 2.27452i | 0.174214 | − | 0.0838970i | ||||
\(736\) | 24.7871 | − | 31.0820i | 0.913663 | − | 1.14570i | ||||
\(737\) | 11.8804 | 0.437621 | ||||||||
\(738\) | 3.17434 | − | 3.98050i | 0.116849 | − | 0.146524i | ||||
\(739\) | 3.60556 | − | 15.7970i | 0.132633 | − | 0.581102i | −0.864309 | − | 0.502960i | \(-0.832244\pi\) |
0.996942 | − | 0.0781419i | \(-0.0248987\pi\) | |||||||
\(740\) | 0.0280444 | − | 0.122871i | 0.00103093 | − | 0.00451681i | ||||
\(741\) | −1.20945 | + | 1.51660i | −0.0444301 | + | 0.0557136i | ||||
\(742\) | −13.3471 | −0.489988 | ||||||||
\(743\) | 22.5216 | − | 28.2412i | 0.826238 | − | 1.03607i | −0.172458 | − | 0.985017i | \(-0.555171\pi\) |
0.998696 | − | 0.0510523i | \(-0.0162575\pi\) | |||||||
\(744\) | −8.53362 | + | 4.10957i | −0.312858 | + | 0.150664i | ||||
\(745\) | −4.01612 | − | 5.03605i | −0.147139 | − | 0.184507i | ||||
\(746\) | 10.9962 | + | 13.7889i | 0.402601 | + | 0.504846i | ||||
\(747\) | −5.65795 | − | 2.72473i | −0.207014 | − | 0.0996926i | ||||
\(748\) | 3.68440 | − | 16.1424i | 0.134715 | − | 0.590224i | ||||
\(749\) | −10.6741 | − | 46.7663i | −0.390023 | − | 1.70880i | ||||
\(750\) | 2.33220 | − | 1.12313i | 0.0851600 | − | 0.0410109i | ||||
\(751\) | −37.5435 | − | 18.0800i | −1.36998 | − | 0.659748i | −0.403143 | − | 0.915137i | \(-0.632082\pi\) |
−0.966838 | + | 0.255389i | \(0.917797\pi\) | |||||||
\(752\) | 0.476705 | + | 2.08858i | 0.0173836 | + | 0.0761627i | ||||
\(753\) | 26.8112 | 0.977054 | ||||||||
\(754\) | 0.183399 | + | 11.2181i | 0.00667900 | + | 0.408538i | ||||
\(755\) | −1.89120 | −0.0688279 | ||||||||
\(756\) | −1.30245 | − | 5.70643i | −0.0473698 | − | 0.207541i | ||||
\(757\) | −7.04277 | − | 3.39162i | −0.255974 | − | 0.123271i | 0.301497 | − | 0.953467i | \(-0.402514\pi\) |
−0.557471 | + | 0.830197i | \(0.688228\pi\) | |||||||
\(758\) | −28.8536 | + | 13.8952i | −1.04801 | + | 0.504695i | ||||
\(759\) | 6.73961 | + | 29.5282i | 0.244632 | + | 1.07180i | ||||
\(760\) | −0.156527 | + | 0.685792i | −0.00567785 | + | 0.0248763i | ||||
\(761\) | 19.4919 | + | 9.38680i | 0.706580 | + | 0.340271i | 0.752426 | − | 0.658677i | \(-0.228884\pi\) |
−0.0458451 | + | 0.998949i | \(0.514598\pi\) | |||||||
\(762\) | −9.70520 | − | 12.1699i | −0.351582 | − | 0.440870i | ||||
\(763\) | −23.3486 | − | 29.2782i | −0.845275 | − | 1.05994i | ||||
\(764\) | 1.21500 | − | 0.585113i | 0.0439571 | − | 0.0211686i | ||||
\(765\) | −0.605658 | + | 0.759471i |