Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [276,2,Mod(7,276)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(276, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 0, 19]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("276.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 276 = 2^{2} \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 276.m (of order \(22\), degree \(10\), 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: | \(2.20387109579\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 7.7 | ||
Character | \(\chi\) | \(=\) | 276.7 |
Dual form | 276.2.m.a.79.7 |
$q$-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 \(\left(\mathbb{Z}/276\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(139\) | \(185\) |
\(\chi(n)\) | \(e\left(\frac{19}{22}\right)\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.916755 | − | 1.07683i | −0.648244 | − | 0.761433i | ||||
\(3\) | 0.540641 | + | 0.841254i | 0.312139 | + | 0.485698i | ||||
\(4\) | −0.319120 | + | 1.97438i | −0.159560 | + | 0.987188i | ||||
\(5\) | 1.92635 | − | 0.879733i | 0.861489 | − | 0.393429i | 0.0648575 | − | 0.997895i | \(-0.479341\pi\) |
0.796631 | + | 0.604466i | \(0.206613\pi\) | |||||||
\(6\) | 0.410251 | − | 1.35340i | 0.167484 | − | 0.552524i | ||||
\(7\) | −0.906673 | + | 0.266223i | −0.342690 | + | 0.100623i | −0.448549 | − | 0.893758i | \(-0.648059\pi\) |
0.105859 | + | 0.994381i | \(0.466241\pi\) | |||||||
\(8\) | 2.41862 | − | 1.46638i | 0.855111 | − | 0.518444i | ||||
\(9\) | −0.415415 | + | 0.909632i | −0.138472 | + | 0.303211i | ||||
\(10\) | −2.71331 | − | 1.26785i | −0.858024 | − | 0.400928i | ||||
\(11\) | 1.56995 | + | 1.81182i | 0.473357 | + | 0.546283i | 0.941342 | − | 0.337453i | \(-0.109565\pi\) |
−0.467985 | + | 0.883736i | \(0.655020\pi\) | |||||||
\(12\) | −1.83348 | + | 0.798968i | −0.529280 | + | 0.230642i | ||||
\(13\) | 1.21043 | + | 0.355413i | 0.335712 | + | 0.0985739i | 0.445244 | − | 0.895409i | \(-0.353117\pi\) |
−0.109532 | + | 0.993983i | \(0.534935\pi\) | |||||||
\(14\) | 1.11787 | + | 0.732270i | 0.298764 | + | 0.195707i | ||||
\(15\) | 1.78154 | + | 1.14493i | 0.459992 | + | 0.295619i | ||||
\(16\) | −3.79632 | − | 1.26013i | −0.949081 | − | 0.315032i | ||||
\(17\) | 4.32571 | + | 0.621943i | 1.04914 | + | 0.150843i | 0.645255 | − | 0.763967i | \(-0.276751\pi\) |
0.403883 | + | 0.914811i | \(0.367660\pi\) | |||||||
\(18\) | 1.36035 | − | 0.386579i | 0.320638 | − | 0.0911175i | ||||
\(19\) | 0.151973 | + | 1.05700i | 0.0348650 | + | 0.242491i | 0.999800 | − | 0.0199974i | \(-0.00636579\pi\) |
−0.964935 | + | 0.262489i | \(0.915457\pi\) | |||||||
\(20\) | 1.12219 | + | 4.08407i | 0.250929 | + | 0.913227i | ||||
\(21\) | −0.714146 | − | 0.618811i | −0.155839 | − | 0.135036i | ||||
\(22\) | 0.511758 | − | 3.35156i | 0.109107 | − | 0.714554i | ||||
\(23\) | 4.76843 | − | 0.511920i | 0.994287 | − | 0.106743i | ||||
\(24\) | 2.54120 | + | 1.24189i | 0.518721 | + | 0.253499i | ||||
\(25\) | −0.337421 | + | 0.389405i | −0.0674843 | + | 0.0778810i | ||||
\(26\) | −0.726945 | − | 1.62925i | −0.142566 | − | 0.319522i | ||||
\(27\) | −0.989821 | + | 0.142315i | −0.190491 | + | 0.0273885i | ||||
\(28\) | −0.236287 | − | 1.87507i | −0.0446541 | − | 0.354355i | ||||
\(29\) | 0.164685 | − | 1.14541i | 0.0305813 | − | 0.212697i | −0.968801 | − | 0.247840i | \(-0.920279\pi\) |
0.999382 | + | 0.0351423i | \(0.0111885\pi\) | |||||||
\(30\) | −0.400347 | − | 2.96803i | −0.0730929 | − | 0.541886i | ||||
\(31\) | 3.68217 | − | 5.72957i | 0.661338 | − | 1.02906i | −0.334888 | − | 0.942258i | \(-0.608698\pi\) |
0.996225 | − | 0.0868036i | \(-0.0276653\pi\) | |||||||
\(32\) | 2.12336 | + | 5.24322i | 0.375360 | + | 0.926879i | ||||
\(33\) | −0.675419 | + | 2.30027i | −0.117575 | + | 0.400425i | ||||
\(34\) | −3.29589 | − | 5.22821i | −0.565240 | − | 0.896631i | ||||
\(35\) | −1.51236 | + | 1.31047i | −0.255636 | + | 0.221510i | ||||
\(36\) | −1.66339 | − | 1.11047i | −0.277231 | − | 0.185078i | ||||
\(37\) | −5.44152 | − | 2.48506i | −0.894581 | − | 0.408541i | −0.0855680 | − | 0.996332i | \(-0.527270\pi\) |
−0.809013 | + | 0.587791i | \(0.799998\pi\) | |||||||
\(38\) | 0.998881 | − | 1.13266i | 0.162040 | − | 0.183741i | ||||
\(39\) | 0.355413 | + | 1.21043i | 0.0569117 | + | 0.193823i | ||||
\(40\) | 3.36908 | − | 4.95250i | 0.532698 | − | 0.783059i | ||||
\(41\) | −3.94341 | − | 8.63486i | −0.615857 | − | 1.34854i | −0.918495 | − | 0.395433i | \(-0.870595\pi\) |
0.302638 | − | 0.953106i | \(-0.402133\pi\) | |||||||
\(42\) | −0.0116565 | + | 1.33631i | −0.00179864 | + | 0.206197i | ||||
\(43\) | 0.0805092 | − | 0.0517401i | 0.0122775 | − | 0.00789029i | −0.534488 | − | 0.845176i | \(-0.679495\pi\) |
0.546765 | + | 0.837286i | \(0.315859\pi\) | |||||||
\(44\) | −4.07821 | + | 2.52148i | −0.614813 | + | 0.380128i | ||||
\(45\) | 2.11772i | 0.315691i | ||||||||
\(46\) | −4.92273 | − | 4.66548i | −0.725818 | − | 0.687887i | ||||
\(47\) | 8.69679i | 1.26856i | 0.773104 | + | 0.634279i | \(0.218703\pi\) | ||||
−0.773104 | + | 0.634279i | \(0.781297\pi\) | |||||||
\(48\) | −0.992362 | − | 3.87495i | −0.143235 | − | 0.559300i | ||||
\(49\) | −5.13759 | + | 3.30173i | −0.733942 | + | 0.471676i | ||||
\(50\) | 0.728656 | + | 0.00635599i | 0.103047 | + | 0.000898872i | ||||
\(51\) | 1.81544 | + | 3.97526i | 0.254213 | + | 0.556648i | ||||
\(52\) | −1.08799 | + | 2.27642i | −0.150877 | + | 0.315682i | ||||
\(53\) | −1.54947 | − | 5.27701i | −0.212836 | − | 0.724853i | −0.994829 | − | 0.101565i | \(-0.967615\pi\) |
0.781993 | − | 0.623287i | \(-0.214203\pi\) | |||||||
\(54\) | 1.06067 | + | 0.935400i | 0.144339 | + | 0.127292i | ||||
\(55\) | 4.61818 | + | 2.10905i | 0.622715 | + | 0.284384i | ||||
\(56\) | −1.80251 | + | 1.97342i | −0.240871 | + | 0.263710i | ||||
\(57\) | −0.807039 | + | 0.699303i | −0.106895 | + | 0.0926249i | ||||
\(58\) | −1.38439 | + | 0.872723i | −0.181779 | + | 0.114594i | ||||
\(59\) | −0.486244 | + | 1.65600i | −0.0633036 | + | 0.215592i | −0.985070 | − | 0.172153i | \(-0.944928\pi\) |
0.921767 | + | 0.387745i | \(0.126746\pi\) | |||||||
\(60\) | −2.82904 | + | 3.15206i | −0.365228 | + | 0.406929i | ||||
\(61\) | −4.23592 | + | 6.59122i | −0.542354 | + | 0.843920i | −0.998953 | − | 0.0457532i | \(-0.985431\pi\) |
0.456599 | + | 0.889673i | \(0.349068\pi\) | |||||||
\(62\) | −9.54542 | + | 1.28755i | −1.21227 | + | 0.163518i | ||||
\(63\) | 0.134480 | − | 0.935332i | 0.0169429 | − | 0.117841i | ||||
\(64\) | 3.69945 | − | 7.09324i | 0.462431 | − | 0.886655i | ||||
\(65\) | 2.64437 | − | 0.380203i | 0.327994 | − | 0.0471584i | ||||
\(66\) | 3.09619 | − | 1.38147i | 0.381114 | − | 0.170047i | ||||
\(67\) | −3.69124 | + | 4.25992i | −0.450957 | + | 0.520432i | −0.935017 | − | 0.354603i | \(-0.884616\pi\) |
0.484060 | + | 0.875035i | \(0.339162\pi\) | |||||||
\(68\) | −2.60837 | + | 8.34210i | −0.316311 | + | 1.01163i | ||||
\(69\) | 3.00866 | + | 3.73469i | 0.362200 | + | 0.449604i | ||||
\(70\) | 2.79762 | + | 0.427175i | 0.334379 | + | 0.0510572i | ||||
\(71\) | −7.09378 | − | 6.14680i | −0.841877 | − | 0.729491i | 0.122940 | − | 0.992414i | \(-0.460768\pi\) |
−0.964817 | + | 0.262924i | \(0.915313\pi\) | |||||||
\(72\) | 0.329137 | + | 2.80921i | 0.0387891 | + | 0.331069i | ||||
\(73\) | 1.48957 | + | 10.3602i | 0.174341 | + | 1.21257i | 0.869582 | + | 0.493789i | \(0.164389\pi\) |
−0.695241 | + | 0.718777i | \(0.744702\pi\) | |||||||
\(74\) | 2.31256 | + | 8.13778i | 0.268830 | + | 0.945998i | ||||
\(75\) | −0.510012 | − | 0.0733287i | −0.0588911 | − | 0.00846727i | ||||
\(76\) | −2.13541 | − | 0.0372567i | −0.244948 | − | 0.00427363i | ||||
\(77\) | −1.90578 | − | 1.22477i | −0.217183 | − | 0.139575i | ||||
\(78\) | 0.977595 | − | 1.49238i | 0.110691 | − | 0.168979i | ||||
\(79\) | −9.71695 | − | 2.85315i | −1.09324 | − | 0.321005i | −0.315078 | − | 0.949066i | \(-0.602031\pi\) |
−0.778164 | + | 0.628061i | \(0.783849\pi\) | |||||||
\(80\) | −8.42161 | + | 0.912312i | −0.941565 | + | 0.102000i | ||||
\(81\) | −0.654861 | − | 0.755750i | −0.0727623 | − | 0.0839722i | ||||
\(82\) | −5.68313 | + | 12.1624i | −0.627596 | + | 1.34312i | ||||
\(83\) | 1.70125 | − | 3.72522i | 0.186737 | − | 0.408896i | −0.792990 | − | 0.609234i | \(-0.791477\pi\) |
0.979727 | + | 0.200338i | \(0.0642041\pi\) | |||||||
\(84\) | 1.44966 | − | 1.21252i | 0.158171 | − | 0.132296i | ||||
\(85\) | 8.87996 | − | 2.60739i | 0.963167 | − | 0.282811i | ||||
\(86\) | −0.129522 | − | 0.0392616i | −0.0139668 | − | 0.00423369i | ||||
\(87\) | 1.05262 | − | 0.480714i | 0.112852 | − | 0.0515379i | ||||
\(88\) | 6.45392 | + | 2.07995i | 0.687990 | + | 0.221724i | ||||
\(89\) | −2.71733 | − | 4.22824i | −0.288036 | − | 0.448193i | 0.666839 | − | 0.745202i | \(-0.267647\pi\) |
−0.954875 | + | 0.297009i | \(0.904011\pi\) | |||||||
\(90\) | 2.28042 | − | 1.94143i | 0.240378 | − | 0.204645i | ||||
\(91\) | −1.19208 | −0.124964 | ||||||||
\(92\) | −0.510980 | + | 9.57804i | −0.0532734 | + | 0.998580i | ||||
\(93\) | 6.81076 | 0.706243 | ||||||||
\(94\) | 9.36496 | − | 7.97283i | 0.965921 | − | 0.822334i | ||||
\(95\) | 1.22263 | + | 1.90245i | 0.125439 | + | 0.195187i | ||||
\(96\) | −3.26290 | + | 4.62098i | −0.333019 | + | 0.471627i | ||||
\(97\) | −11.2803 | + | 5.15155i | −1.14534 | + | 0.523061i | −0.895428 | − | 0.445207i | \(-0.853130\pi\) |
−0.249915 | + | 0.968268i | \(0.580403\pi\) | |||||||
\(98\) | 8.26531 | + | 2.50543i | 0.834923 | + | 0.253087i | ||||
\(99\) | −2.30027 | + | 0.675419i | −0.231185 | + | 0.0678822i | ||||
\(100\) | −0.661154 | − | 0.790464i | −0.0661154 | − | 0.0790464i | ||||
\(101\) | 6.17325 | − | 13.5175i | 0.614262 | − | 1.34505i | −0.305359 | − | 0.952237i | \(-0.598776\pi\) |
0.919620 | − | 0.392808i | \(-0.128496\pi\) | |||||||
\(102\) | 2.61636 | − | 5.59926i | 0.259058 | − | 0.554410i | ||||
\(103\) | −10.2319 | − | 11.8083i | −1.00818 | − | 1.16350i | −0.986504 | − | 0.163738i | \(-0.947645\pi\) |
−0.0216776 | − | 0.999765i | \(-0.506901\pi\) | |||||||
\(104\) | 3.44873 | − | 0.915338i | 0.338176 | − | 0.0897562i | ||||
\(105\) | −1.92008 | − | 0.563787i | −0.187381 | − | 0.0550199i | ||||
\(106\) | −4.26195 | + | 6.50624i | −0.413957 | + | 0.631941i | ||||
\(107\) | −9.28354 | − | 5.96617i | −0.897474 | − | 0.576771i | 0.00856615 | − | 0.999963i | \(-0.497273\pi\) |
−0.906040 | + | 0.423192i | \(0.860910\pi\) | |||||||
\(108\) | 0.0348889 | − | 1.99970i | 0.00335719 | − | 0.192421i | ||||
\(109\) | 14.2719 | + | 2.05199i | 1.36700 | + | 0.196545i | 0.786438 | − | 0.617669i | \(-0.211923\pi\) |
0.580564 | + | 0.814214i | \(0.302832\pi\) | |||||||
\(110\) | −1.96265 | − | 6.90647i | −0.187132 | − | 0.658506i | ||||
\(111\) | −0.851344 | − | 5.92122i | −0.0808060 | − | 0.562018i | ||||
\(112\) | 3.77750 | + | 0.131853i | 0.356940 | + | 0.0124589i | ||||
\(113\) | −7.92033 | − | 6.86301i | −0.745082 | − | 0.645618i | 0.197228 | − | 0.980358i | \(-0.436806\pi\) |
−0.942311 | + | 0.334740i | \(0.891351\pi\) | |||||||
\(114\) | 1.49289 | + | 0.227953i | 0.139822 | + | 0.0213497i | ||||
\(115\) | 8.73530 | − | 5.18108i | 0.814571 | − | 0.483138i | ||||
\(116\) | 2.20892 | + | 0.690674i | 0.205093 | + | 0.0641275i | ||||
\(117\) | −0.826125 | + | 0.953399i | −0.0763752 | + | 0.0881417i | ||||
\(118\) | 2.22899 | − | 0.994541i | 0.205195 | − | 0.0915549i | ||||
\(119\) | −4.08758 | + | 0.587705i | −0.374708 | + | 0.0538748i | ||||
\(120\) | 5.98777 | + | 0.156724i | 0.546606 | + | 0.0143069i | ||||
\(121\) | 0.747521 | − | 5.19912i | 0.0679564 | − | 0.472647i | ||||
\(122\) | 10.9809 | − | 1.48118i | 0.994166 | − | 0.134099i | ||||
\(123\) | 5.13214 | − | 7.98576i | 0.462749 | − | 0.720052i | ||||
\(124\) | 10.1373 | + | 9.09842i | 0.910354 | + | 0.817062i | ||||
\(125\) | −3.29057 | + | 11.2067i | −0.294318 | + | 1.00235i | ||||
\(126\) | −1.13048 | + | 0.712658i | −0.100711 | + | 0.0634886i | ||||
\(127\) | 5.24764 | − | 4.54711i | 0.465653 | − | 0.403490i | −0.390184 | − | 0.920737i | \(-0.627588\pi\) |
0.855836 | + | 0.517247i | \(0.173043\pi\) | |||||||
\(128\) | −11.0297 | + | 2.51909i | −0.974896 | + | 0.222659i | ||||
\(129\) | 0.0870531 | + | 0.0397558i | 0.00766460 | + | 0.00350030i | ||||
\(130\) | −2.83365 | − | 2.49898i | −0.248528 | − | 0.219175i | ||||
\(131\) | −3.70643 | − | 12.6229i | −0.323832 | − | 1.10287i | −0.947120 | − | 0.320879i | \(-0.896022\pi\) |
0.623288 | − | 0.781992i | \(-0.285796\pi\) | |||||||
\(132\) | −4.32605 | − | 2.06759i | −0.376534 | − | 0.179961i | ||||
\(133\) | −0.419187 | − | 0.917891i | −0.0363481 | − | 0.0795912i | ||||
\(134\) | 7.97117 | + | 0.0695317i | 0.688604 | + | 0.00600662i | ||||
\(135\) | −1.78154 | + | 1.14493i | −0.153331 | + | 0.0985396i | ||||
\(136\) | 11.3742 | − | 4.83890i | 0.975334 | − | 0.414932i | ||||
\(137\) | 12.3931i | 1.05882i | 0.848367 | + | 0.529409i | \(0.177586\pi\) | ||||
−0.848367 | + | 0.529409i | \(0.822414\pi\) | |||||||
\(138\) | 1.26342 | − | 6.66362i | 0.107549 | − | 0.567245i | ||||
\(139\) | 9.48885i | 0.804833i | 0.915457 | + | 0.402417i | \(0.131830\pi\) | ||||
−0.915457 | + | 0.402417i | \(0.868170\pi\) | |||||||
\(140\) | −2.10473 | − | 3.40417i | −0.177882 | − | 0.287705i | ||||
\(141\) | −7.31621 | + | 4.70184i | −0.616136 | + | 0.395966i | ||||
\(142\) | −0.115787 | + | 13.2739i | −0.00971661 | + | 1.11392i | ||||
\(143\) | 1.25636 | + | 2.75105i | 0.105062 | + | 0.230054i | ||||
\(144\) | 2.72330 | − | 2.92978i | 0.226942 | − | 0.244149i | ||||
\(145\) | −0.690415 | − | 2.35134i | −0.0573358 | − | 0.195268i | ||||
\(146\) | 9.79056 | − | 11.1017i | 0.810272 | − | 0.918787i | ||||
\(147\) | −5.55519 | − | 2.53697i | −0.458184 | − | 0.209246i | ||||
\(148\) | 6.64294 | − | 9.95058i | 0.546047 | − | 0.817933i | ||||
\(149\) | 16.9975 | − | 14.7284i | 1.39249 | − | 1.20660i | 0.441548 | − | 0.897237i | \(-0.354429\pi\) |
0.950944 | − | 0.309364i | \(-0.100116\pi\) | |||||||
\(150\) | 0.388594 | + | 0.616420i | 0.0317286 | + | 0.0503305i | ||||
\(151\) | −1.96367 | + | 6.68765i | −0.159801 | + | 0.544233i | 0.840197 | + | 0.542282i | \(0.182439\pi\) |
−0.999998 | + | 0.00195169i | \(0.999379\pi\) | |||||||
\(152\) | 1.91752 | + | 2.33362i | 0.155532 | + | 0.189282i | ||||
\(153\) | −2.36270 | + | 3.67644i | −0.191013 | + | 0.297222i | ||||
\(154\) | 0.428265 | + | 3.17501i | 0.0345106 | + | 0.255849i | ||||
\(155\) | 2.05265 | − | 14.2765i | 0.164873 | − | 1.14671i | ||||
\(156\) | −2.50326 | + | 0.315448i | −0.200421 | + | 0.0252561i | ||||
\(157\) | 17.8000 | − | 2.55925i | 1.42059 | − | 0.204250i | 0.611181 | − | 0.791491i | \(-0.290695\pi\) |
0.809412 | + | 0.587241i | \(0.199786\pi\) | |||||||
\(158\) | 5.83571 | + | 13.0791i | 0.464264 | + | 1.04052i | ||||
\(159\) | 3.60159 | − | 4.15646i | 0.285625 | − | 0.329629i | ||||
\(160\) | 8.70296 | + | 8.23227i | 0.688029 | + | 0.650818i | ||||
\(161\) | −4.18712 | + | 1.73361i | −0.329992 | + | 0.136628i | ||||
\(162\) | −0.213466 | + | 1.39801i | −0.0167715 | + | 0.109838i | ||||
\(163\) | 10.3279 | + | 8.94914i | 0.808940 | + | 0.700950i | 0.957651 | − | 0.287930i | \(-0.0929671\pi\) |
−0.148711 | + | 0.988881i | \(0.547513\pi\) | |||||||
\(164\) | 18.3069 | − | 5.03021i | 1.42953 | − | 0.392794i | ||||
\(165\) | 0.722529 | + | 5.02530i | 0.0562488 | + | 0.391219i | ||||
\(166\) | −5.57105 | + | 1.58316i | −0.432398 | + | 0.122877i | ||||
\(167\) | 18.9515 | + | 2.72481i | 1.46651 | + | 0.210852i | 0.828852 | − | 0.559469i | \(-0.188995\pi\) |
0.637657 | + | 0.770321i | \(0.279904\pi\) | |||||||
\(168\) | −2.63466 | − | 0.449458i | −0.203268 | − | 0.0346764i | ||||
\(169\) | −9.59748 | − | 6.16793i | −0.738268 | − | 0.474456i | ||||
\(170\) | −10.9485 | − | 7.17185i | −0.839708 | − | 0.550056i | ||||
\(171\) | −1.02461 | − | 0.300852i | −0.0783538 | − | 0.0230068i | ||||
\(172\) | 0.0764623 | + | 0.175467i | 0.00583020 | + | 0.0133792i | ||||
\(173\) | 13.5355 | + | 15.6208i | 1.02908 | + | 1.18763i | 0.982028 | + | 0.188733i | \(0.0604382\pi\) |
0.0470551 | + | 0.998892i | \(0.485016\pi\) | |||||||
\(174\) | −1.48264 | − | 0.692791i | −0.112398 | − | 0.0525203i | ||||
\(175\) | 0.202262 | − | 0.442893i | 0.0152896 | − | 0.0334795i | ||||
\(176\) | −3.67691 | − | 8.85658i | −0.277158 | − | 0.667590i | ||||
\(177\) | −1.65600 | + | 0.486244i | −0.124472 | + | 0.0365484i | ||||
\(178\) | −2.06197 | + | 6.80236i | −0.154551 | + | 0.509858i | ||||
\(179\) | −23.8673 | + | 10.8998i | −1.78392 | + | 0.814690i | −0.810478 | + | 0.585770i | \(0.800792\pi\) |
−0.973445 | + | 0.228921i | \(0.926480\pi\) | |||||||
\(180\) | −4.18118 | − | 0.675808i | −0.311647 | − | 0.0503717i | ||||
\(181\) | 3.64083 | + | 5.66525i | 0.270621 | + | 0.421094i | 0.949790 | − | 0.312887i | \(-0.101296\pi\) |
−0.679169 | + | 0.733982i | \(0.737660\pi\) | |||||||
\(182\) | 1.09285 | + | 1.28367i | 0.0810071 | + | 0.0951517i | ||||
\(183\) | −7.83500 | −0.579180 | ||||||||
\(184\) | 10.7824 | − | 8.23048i | 0.794886 | − | 0.606759i | ||||
\(185\) | −12.6685 | −0.931403 | ||||||||
\(186\) | −6.24380 | − | 7.33402i | −0.457817 | − | 0.537756i | ||||
\(187\) | 5.66429 | + | 8.81380i | 0.414214 | + | 0.644529i | ||||
\(188\) | −17.1707 | − | 2.77532i | −1.25231 | − | 0.202411i | ||||
\(189\) | 0.859557 | − | 0.392546i | 0.0625236 | − | 0.0285536i | ||||
\(190\) | 0.927758 | − | 3.06064i | 0.0673066 | − | 0.222042i | ||||
\(191\) | −5.27688 | + | 1.54943i | −0.381821 | + | 0.112113i | −0.467010 | − | 0.884252i | \(-0.654669\pi\) |
0.0851887 | + | 0.996365i | \(0.472851\pi\) | |||||||
\(192\) | 7.96729 | − | 0.722722i | 0.574989 | − | 0.0521580i | ||||
\(193\) | 1.62304 | − | 3.55397i | 0.116829 | − | 0.255820i | −0.842179 | − | 0.539197i | \(-0.818728\pi\) |
0.959008 | + | 0.283377i | \(0.0914549\pi\) | |||||||
\(194\) | 15.8886 | + | 7.42426i | 1.14074 | + | 0.533031i | ||||
\(195\) | 1.74950 | + | 2.01903i | 0.125284 | + | 0.144586i | ||||
\(196\) | −4.87935 | − | 11.1972i | −0.348525 | − | 0.799799i | ||||
\(197\) | 1.52408 | + | 0.447509i | 0.108586 | + | 0.0318837i | 0.335574 | − | 0.942014i | \(-0.391070\pi\) |
−0.226988 | + | 0.973898i | \(0.572888\pi\) | |||||||
\(198\) | 2.83609 | + | 1.85780i | 0.201552 | + | 0.132028i | ||||
\(199\) | −18.0798 | − | 11.6192i | −1.28164 | − | 0.823661i | −0.290551 | − | 0.956859i | \(-0.593839\pi\) |
−0.991089 | + | 0.133199i | \(0.957475\pi\) | |||||||
\(200\) | −0.245078 | + | 1.43661i | −0.0173296 | + | 0.101584i | ||||
\(201\) | −5.57931 | − | 0.802184i | −0.393534 | − | 0.0565817i | ||||
\(202\) | −20.2154 | + | 5.74474i | −1.42235 | + | 0.404198i | ||||
\(203\) | 0.155619 | + | 1.08236i | 0.0109223 | + | 0.0759665i | ||||
\(204\) | −8.42801 | + | 2.31578i | −0.590079 | + | 0.162137i | ||||
\(205\) | −15.1927 | − | 13.1646i | −1.06111 | − | 0.919455i | ||||
\(206\) | −3.33532 | + | 21.8433i | −0.232382 | + | 1.52190i | ||||
\(207\) | −1.51522 | + | 4.55018i | −0.105315 | + | 0.316259i | ||||
\(208\) | −4.14731 | − | 2.87455i | −0.287564 | − | 0.199315i | ||||
\(209\) | −1.67649 | + | 1.93478i | −0.115965 | + | 0.133831i | ||||
\(210\) | 1.15314 | + | 2.58445i | 0.0795744 | + | 0.178344i | ||||
\(211\) | 4.28485 | − | 0.616068i | 0.294981 | − | 0.0424119i | 0.00676454 | − | 0.999977i | \(-0.497847\pi\) |
0.288217 | + | 0.957565i | \(0.406938\pi\) | |||||||
\(212\) | 10.9133 | − | 1.37524i | 0.749526 | − | 0.0944516i | ||||
\(213\) | 1.33583 | − | 9.29088i | 0.0915293 | − | 0.636600i | ||||
\(214\) | 2.08619 | + | 15.4663i | 0.142609 | + | 1.05725i | ||||
\(215\) | 0.109571 | − | 0.170496i | 0.00747269 | − | 0.0116277i | ||||
\(216\) | −2.18531 | + | 1.79566i | −0.148692 | + | 0.122179i | ||||
\(217\) | −1.81318 | + | 6.17513i | −0.123087 | + | 0.419195i | ||||
\(218\) | −10.8742 | − | 17.2496i | −0.736495 | − | 1.16829i | ||||
\(219\) | −7.91021 | + | 6.85423i | −0.534522 | + | 0.463166i | ||||
\(220\) | −5.63782 | + | 8.44498i | −0.380102 | + | 0.569361i | ||||
\(221\) | 5.01490 | + | 2.29023i | 0.337339 | + | 0.154058i | ||||
\(222\) | −5.59567 | + | 6.34506i | −0.375557 | + | 0.425853i | ||||
\(223\) | 3.80683 | + | 12.9649i | 0.254924 | + | 0.868192i | 0.983142 | + | 0.182846i | \(0.0585309\pi\) |
−0.728218 | + | 0.685346i | \(0.759651\pi\) | |||||||
\(224\) | −3.32106 | − | 4.18860i | −0.221898 | − | 0.279862i | ||||
\(225\) | −0.214045 | − | 0.468694i | −0.0142697 | − | 0.0312463i | ||||
\(226\) | −0.129278 | + | 14.8205i | −0.00859945 | + | 0.985848i | ||||
\(227\) | 2.15696 | − | 1.38620i | 0.143163 | − | 0.0920050i | −0.467099 | − | 0.884205i | \(-0.654701\pi\) |
0.610261 | + | 0.792200i | \(0.291064\pi\) | |||||||
\(228\) | −1.12315 | − | 1.81656i | −0.0743821 | − | 0.120305i | ||||
\(229\) | − | 8.47104i | − | 0.559782i | −0.960032 | − | 0.279891i | \(-0.909702\pi\) | ||
0.960032 | − | 0.279891i | \(-0.0902983\pi\) | |||||||
\(230\) | −13.5873 | − | 4.65664i | −0.895918 | − | 0.307050i | ||||
\(231\) | − | 2.26540i | − | 0.149052i | ||||||
\(232\) | −1.28130 | − | 3.01180i | −0.0841214 | − | 0.197735i | ||||
\(233\) | −13.4761 | + | 8.66059i | −0.882852 | + | 0.567374i | −0.901658 | − | 0.432449i | \(-0.857650\pi\) |
0.0188069 | + | 0.999823i | \(0.494013\pi\) | |||||||
\(234\) | 1.78400 | + | 0.0155617i | 0.116624 | + | 0.00101730i | ||||
\(235\) | 7.65086 | + | 16.7530i | 0.499087 | + | 1.09285i | ||||
\(236\) | −3.11439 | − | 1.48849i | −0.202729 | − | 0.0968925i | ||||
\(237\) | −2.85315 | − | 9.71695i | −0.185332 | − | 0.631184i | ||||
\(238\) | 4.38017 | + | 3.86284i | 0.283924 | + | 0.250391i | ||||
\(239\) | 4.27578 | + | 1.95268i | 0.276577 | + | 0.126309i | 0.548875 | − | 0.835904i | \(-0.315056\pi\) |
−0.272298 | + | 0.962213i | \(0.587784\pi\) | |||||||
\(240\) | −5.32055 | − | 6.59148i | −0.343440 | − | 0.425478i | ||||
\(241\) | 3.35690 | − | 2.90877i | 0.216237 | − | 0.187370i | −0.540006 | − | 0.841661i | \(-0.681578\pi\) |
0.756243 | + | 0.654291i | \(0.227033\pi\) | |||||||
\(242\) | −6.28386 | + | 3.96137i | −0.403942 | + | 0.254646i | ||||
\(243\) | 0.281733 | − | 0.959493i | 0.0180732 | − | 0.0615515i | ||||
\(244\) | −11.6618 | − | 10.4667i | −0.746569 | − | 0.670062i | ||||
\(245\) | −6.99215 | + | 10.8800i | −0.446712 | + | 0.695097i | ||||
\(246\) | −13.3042 | + | 1.79456i | −0.848246 | + | 0.114417i | ||||
\(247\) | −0.191718 | + | 1.33343i | −0.0121987 | + | 0.0848441i | ||||
\(248\) | 0.504036 | − | 19.2571i | 0.0320063 | − | 1.22283i | ||||
\(249\) | 4.05362 | − | 0.582823i | 0.256888 | − | 0.0369349i | ||||
\(250\) | 15.0843 | − | 6.73038i | 0.954015 | − | 0.425667i | ||||
\(251\) | 15.4841 | − | 17.8696i | 0.977349 | − | 1.12792i | −0.0144217 | − | 0.999896i | \(-0.504591\pi\) |
0.991771 | − | 0.128025i | \(-0.0408638\pi\) | |||||||
\(252\) | 1.80378 | + | 0.563998i | 0.113628 | + | 0.0355286i | ||||
\(253\) | 8.41369 | + | 7.83583i | 0.528964 | + | 0.492635i | ||||
\(254\) | −9.70726 | − | 1.48223i | −0.609087 | − | 0.0930032i | ||||
\(255\) | 6.99434 | + | 6.06063i | 0.438003 | + | 0.379532i | ||||
\(256\) | 12.8242 | + | 9.56770i | 0.801510 | + | 0.597981i | ||||
\(257\) | 0.390049 | + | 2.71285i | 0.0243306 | + | 0.169223i | 0.998364 | − | 0.0571824i | \(-0.0182117\pi\) |
−0.974033 | + | 0.226405i | \(0.927303\pi\) | |||||||
\(258\) | −0.0369962 | − | 0.130188i | −0.00230328 | − | 0.00810513i | ||||
\(259\) | 5.59526 | + | 0.804477i | 0.347673 | + | 0.0499878i | ||||
\(260\) | −0.0932080 | + | 5.34231i | −0.00578051 | + | 0.331316i | ||||
\(261\) | 0.973489 | + | 0.625624i | 0.0602575 | + | 0.0387251i | ||||
\(262\) | −10.1948 | + | 15.5633i | −0.629840 | + | 0.961505i | ||||
\(263\) | 13.7677 | + | 4.04255i | 0.848950 | + | 0.249274i | 0.677138 | − | 0.735856i | \(-0.263220\pi\) |
0.171812 | + | 0.985130i | \(0.445038\pi\) | |||||||
\(264\) | 1.73949 | + | 6.55389i | 0.107058 | + | 0.403364i | ||||
\(265\) | −7.62717 | − | 8.80223i | −0.468533 | − | 0.540716i | ||||
\(266\) | −0.604120 | + | 1.29287i | −0.0370410 | + | 0.0792712i | ||||
\(267\) | 2.08793 | − | 4.57192i | 0.127779 | − | 0.279797i | ||||
\(268\) | −7.23274 | − | 8.64733i | −0.441810 | − | 0.528220i | ||||
\(269\) | 14.8692 | − | 4.36600i | 0.906593 | − | 0.266200i | 0.204987 | − | 0.978765i | \(-0.434285\pi\) |
0.701606 | + | 0.712565i | \(0.252467\pi\) | |||||||
\(270\) | 2.86613 | + | 0.868797i | 0.174427 | + | 0.0528733i | ||||
\(271\) | 2.17612 | − | 0.993803i | 0.132190 | − | 0.0603692i | −0.348222 | − | 0.937412i | \(-0.613214\pi\) |
0.480412 | + | 0.877043i | \(0.340487\pi\) | |||||||
\(272\) | −15.6381 | − | 7.81204i | −0.948197 | − | 0.473674i | ||||
\(273\) | −0.644487 | − | 1.00284i | −0.0390061 | − | 0.0606947i | ||||
\(274\) | 13.3453 | − | 11.3615i | 0.806219 | − | 0.686372i | ||||
\(275\) | −1.23526 | −0.0744893 | ||||||||
\(276\) | −8.33382 | + | 4.74842i | −0.501637 | + | 0.285821i | ||||
\(277\) | −1.68672 | −0.101345 | −0.0506725 | − | 0.998715i | \(-0.516136\pi\) | ||||
−0.0506725 | + | 0.998715i | \(0.516136\pi\) | |||||||
\(278\) | 10.2179 | − | 8.69895i | 0.612827 | − | 0.521728i | ||||
\(279\) | 3.68217 | + | 5.72957i | 0.220446 | + | 0.343021i | ||||
\(280\) | −1.73618 | + | 5.38723i | −0.103757 | + | 0.321948i | ||||
\(281\) | 5.73410 | − | 2.61867i | 0.342068 | − | 0.156217i | −0.236972 | − | 0.971516i | \(-0.576155\pi\) |
0.579040 | + | 0.815299i | \(0.303428\pi\) | |||||||
\(282\) | 11.7702 | + | 3.56787i | 0.700908 | + | 0.212463i | ||||
\(283\) | 0.0167344 | − | 0.00491366i | 0.000994756 | − | 0.000292087i | −0.281235 | − | 0.959639i | \(-0.590744\pi\) |
0.282230 | + | 0.959347i | \(0.408926\pi\) | |||||||
\(284\) | 14.3999 | − | 12.0442i | 0.854474 | − | 0.714693i | ||||
\(285\) | −0.939436 | + | 2.05708i | −0.0556474 | + | 0.121851i | ||||
\(286\) | 1.81063 | − | 3.87493i | 0.107065 | − | 0.229129i | ||||
\(287\) | 5.87418 | + | 6.77917i | 0.346742 | + | 0.400162i | ||||
\(288\) | −5.65148 | − | 0.246636i | −0.333016 | − | 0.0145332i | ||||
\(289\) | 2.01355 | + | 0.591231i | 0.118444 | + | 0.0347783i | ||||
\(290\) | −1.89905 | + | 2.89906i | −0.111516 | + | 0.170239i | ||||
\(291\) | −10.4324 | − | 6.70447i | −0.611556 | − | 0.393023i | ||||
\(292\) | −20.9302 | − | 0.365172i | −1.22485 | − | 0.0213701i | ||||
\(293\) | −19.0155 | − | 2.73401i | −1.11090 | − | 0.159723i | −0.437653 | − | 0.899144i | \(-0.644190\pi\) |
−0.673243 | + | 0.739421i | \(0.735099\pi\) | |||||||
\(294\) | 2.36086 | + | 8.30776i | 0.137688 | + | 0.484519i | ||||
\(295\) | 0.520159 | + | 3.61779i | 0.0302848 | + | 0.210636i | ||||
\(296\) | −16.8050 | + | 1.96893i | −0.976772 | + | 0.114442i | ||||
\(297\) | −1.81182 | − | 1.56995i | −0.105132 | − | 0.0910976i | ||||
\(298\) | −31.4426 | − | 4.80105i | −1.82142 | − | 0.278118i | ||||
\(299\) | 5.95378 | + | 1.07512i | 0.344316 | + | 0.0621759i | ||||
\(300\) | 0.307534 | − | 0.983556i | 0.0177555 | − | 0.0567856i | ||||
\(301\) | −0.0592211 | + | 0.0683448i | −0.00341345 | + | 0.00393933i | ||||
\(302\) | 9.00166 | − | 4.01640i | 0.517987 | − | 0.231118i | ||||
\(303\) | 14.7092 | − | 2.11486i | 0.845021 | − | 0.121496i | ||||
\(304\) | 0.755010 | − | 4.20420i | 0.0433028 | − | 0.241128i | ||||
\(305\) | −2.36134 | + | 16.4235i | −0.135210 | + | 0.940405i | ||||
\(306\) | 6.12491 | − | 0.826166i | 0.350138 | − | 0.0472288i | ||||
\(307\) | −3.33371 | + | 5.18735i | −0.190265 | + | 0.296058i | −0.923260 | − | 0.384176i | \(-0.874485\pi\) |
0.732995 | + | 0.680234i | \(0.238122\pi\) | |||||||
\(308\) | 3.02633 | − | 3.37187i | 0.172441 | − | 0.192130i | ||||
\(309\) | 4.40195 | − | 14.9917i | 0.250418 | − | 0.852847i | ||||
\(310\) | −17.2551 | + | 10.8777i | −0.980023 | + | 0.617811i | ||||
\(311\) | −2.81329 | + | 2.43773i | −0.159527 | + | 0.138231i | −0.730967 | − | 0.682413i | \(-0.760930\pi\) |
0.571440 | + | 0.820644i | \(0.306385\pi\) | |||||||
\(312\) | 2.63456 | + | 2.40639i | 0.149152 | + | 0.136235i | ||||
\(313\) | −16.7604 | − | 7.65424i | −0.947356 | − | 0.432643i | −0.119031 | − | 0.992891i | \(-0.537979\pi\) |
−0.828325 | + | 0.560247i | \(0.810706\pi\) | |||||||
\(314\) | −19.0741 | − | 16.8213i | −1.07641 | − | 0.949282i | ||||
\(315\) | −0.563787 | − | 1.92008i | −0.0317658 | − | 0.108184i | ||||
\(316\) | 8.73408 | − | 18.2744i | 0.491330 | − | 1.02802i | ||||
\(317\) | 3.76295 | + | 8.23971i | 0.211348 | + | 0.462788i | 0.985383 | − | 0.170355i | \(-0.0544915\pi\) |
−0.774034 | + | 0.633144i | \(0.781764\pi\) | |||||||
\(318\) | −7.77758 | − | 0.0678430i | −0.436145 | − | 0.00380445i | ||||
\(319\) | 2.33382 | − | 1.49986i | 0.130669 | − | 0.0839758i | ||||
\(320\) | 0.886260 | − | 16.9186i | 0.0495435 | − | 0.945777i | ||||
\(321\) | − | 11.0354i | − | 0.615934i | ||||||
\(322\) | 5.70537 | + | 2.91952i | 0.317948 | + | 0.162698i | ||||
\(323\) | 4.66677i | 0.259666i | ||||||||
\(324\) | 1.70111 | − | 1.05177i | 0.0945063 | − | 0.0584315i | ||||
\(325\) | −0.546824 | + | 0.351422i | −0.0303323 | + | 0.0194934i | ||||
\(326\) | 0.168574 | − | 19.3255i | 0.00933647 | − | 1.07034i | ||||
\(327\) | 5.98974 | + | 13.1157i | 0.331233 | + | 0.725300i | ||||
\(328\) | −22.1996 | − | 15.1019i | −1.22577 | − | 0.833863i | ||||
\(329\) | −2.31529 | − | 7.88515i | −0.127646 | − | 0.434722i | ||||
\(330\) | 4.74900 | − | 5.38501i | 0.261424 | − | 0.296435i | ||||
\(331\) | 27.5872 | + | 12.5987i | 1.51633 | + | 0.692486i | 0.987699 | − | 0.156365i | \(-0.0499776\pi\) |
0.528633 | + | 0.848851i | \(0.322705\pi\) | |||||||
\(332\) | 6.81208 | + | 4.54770i | 0.373862 | + | 0.249588i | ||||
\(333\) | 4.52098 | − | 3.91745i | 0.247748 | − | 0.214675i | ||||
\(334\) | −14.4397 | − | 22.9055i | −0.790105 | − | 1.25333i | ||||
\(335\) | −3.36302 | + | 11.4534i | −0.183741 | + | 0.625766i | ||||
\(336\) | 1.93135 | + | 3.24912i | 0.105364 | + | 0.177254i | ||||
\(337\) | −9.14708 | + | 14.2331i | −0.498273 | + | 0.775328i | −0.995745 | − | 0.0921521i | \(-0.970625\pi\) |
0.497472 | + | 0.867480i | \(0.334262\pi\) | |||||||
\(338\) | 2.15674 | + | 15.9893i | 0.117311 | + | 0.869705i | ||||
\(339\) | 1.49147 | − | 10.3734i | 0.0810058 | − | 0.563407i | ||||
\(340\) | 2.31420 | + | 18.3644i | 0.125505 | + | 0.995952i | ||||
\(341\) | 16.1618 | − | 2.32371i | 0.875208 | − | 0.125836i | ||||
\(342\) | 0.615349 | + | 1.37914i | 0.0332743 | + | 0.0745752i | ||||
\(343\) | 8.11080 | − | 9.36036i | 0.437942 | − | 0.505412i | ||||
\(344\) | 0.118850 | − | 0.243197i | 0.00640798 | − | 0.0131123i | ||||
\(345\) | 9.08126 | + | 4.54750i | 0.488919 | + | 0.244829i | ||||
\(346\) | 4.41218 | − | 28.8958i | 0.237200 | − | 1.55345i | ||||
\(347\) | 22.2012 | + | 19.2374i | 1.19182 | + | 1.03272i | 0.998670 | + | 0.0515488i | \(0.0164158\pi\) |
0.193150 | + | 0.981169i | \(0.438130\pi\) | |||||||
\(348\) | 0.613199 | + | 2.23167i | 0.0328709 | + | 0.119630i | ||||
\(349\) | −0.283645 | − | 1.97280i | −0.0151832 | − | 0.105601i | 0.980821 | − | 0.194913i | \(-0.0624424\pi\) |
−0.996004 | + | 0.0893116i | \(0.971533\pi\) | |||||||
\(350\) | −0.662344 | + | 0.188222i | −0.0354038 | + | 0.0100609i | ||||
\(351\) | −1.24869 | − | 0.179534i | −0.0666500 | − | 0.00958282i | ||||
\(352\) | −6.16619 | + | 12.0787i | −0.328659 | + | 0.643798i | ||||
\(353\) | −19.5836 | − | 12.5856i | −1.04233 | − | 0.669864i | −0.0967675 | − | 0.995307i | \(-0.530850\pi\) |
−0.945562 | + | 0.325443i | \(0.894487\pi\) | |||||||
\(354\) | 2.04174 | + | 1.33746i | 0.108517 | + | 0.0710850i | ||||
\(355\) | −19.0726 | − | 5.60023i | −1.01227 | − | 0.297229i | ||||
\(356\) | 9.21530 | − | 4.01571i | 0.488410 | − | 0.212832i | ||||
\(357\) | −2.70432 | − | 3.12095i | −0.143128 | − | 0.165178i | ||||
\(358\) | 33.6177 | + | 15.7085i | 1.77675 | + | 0.830220i | ||||
\(359\) | −10.5117 | + | 23.0173i | −0.554785 | + | 1.21481i | 0.399726 | + | 0.916634i | \(0.369105\pi\) |
−0.954511 | + | 0.298175i | \(0.903622\pi\) | |||||||
\(360\) | 3.10539 | + | 5.12196i | 0.163668 | + | 0.269951i | ||||
\(361\) | 17.1362 | − | 5.03165i | 0.901906 | − | 0.264824i | ||||
\(362\) | 2.76275 | − | 9.11420i | 0.145207 | − | 0.479032i | ||||
\(363\) | 4.77792 | − | 2.18200i | 0.250776 | − | 0.114525i | ||||
\(364\) | 0.380417 | − | 2.35362i | 0.0199393 | − | 0.123363i | ||||
\(365\) | 11.9836 | + | 18.6469i | 0.627251 | + | 0.976021i | ||||
\(366\) | 7.18278 | + | 8.43696i | 0.375450 | + | 0.441007i | ||||
\(367\) | −28.7583 | −1.50117 | −0.750585 | − | 0.660774i | \(-0.770228\pi\) | ||||
−0.750585 | + | 0.660774i | \(0.770228\pi\) | |||||||
\(368\) | −18.7476 | − | 4.06541i | −0.977286 | − | 0.211924i | ||||
\(369\) | 9.49270 | 0.494170 | ||||||||
\(370\) | 11.6139 | + | 13.6418i | 0.603776 | + | 0.709201i | ||||
\(371\) | 2.80972 | + | 4.37202i | 0.145874 | + | 0.226984i | ||||
\(372\) | −2.17345 | + | 13.4470i | −0.112688 | + | 0.697194i | ||||
\(373\) | 26.3663 | − | 12.0411i | 1.36520 | − | 0.623465i | 0.408021 | − | 0.912972i | \(-0.366219\pi\) |
0.957176 | + | 0.289508i | \(0.0934916\pi\) | |||||||
\(374\) | 4.29819 | − | 14.1796i | 0.222254 | − | 0.733208i | ||||
\(375\) | −11.2067 | + | 3.29057i | −0.578710 | + | 0.169924i | ||||
\(376\) | 12.7528 | + | 21.0342i | 0.657676 | + | 1.08476i | ||||
\(377\) | 0.606433 | − | 1.32790i | 0.0312329 | − | 0.0683905i | ||||
\(378\) | −1.21071 | − | 0.565727i | −0.0622721 | − | 0.0290978i | ||||
\(379\) | −23.9479 | − | 27.6374i | −1.23012 | − | 1.41964i | −0.874512 | − | 0.485003i | \(-0.838818\pi\) |
−0.355611 | − | 0.934634i | \(-0.615727\pi\) | |||||||
\(380\) | −4.14631 | + | 1.80682i | −0.212701 | + | 0.0926878i | ||||
\(381\) | 6.66236 | + | 1.95624i | 0.341323 | + | 0.100221i | ||||
\(382\) | 6.50608 | + | 4.26184i | 0.332880 | + | 0.218055i | ||||
\(383\) | 1.24968 | + | 0.803122i | 0.0638558 | + | 0.0410376i | 0.572179 | − | 0.820129i | \(-0.306098\pi\) |
−0.508323 | + | 0.861166i | \(0.669735\pi\) | |||||||
\(384\) | −8.08230 | − | 7.91684i | −0.412448 | − | 0.404005i | ||||
\(385\) | −4.74866 | − | 0.682754i | −0.242014 | − | 0.0347964i | ||||
\(386\) | −5.31494 | + | 1.51038i | −0.270524 | + | 0.0768762i | ||||
\(387\) | 0.0136197 | + | 0.0947273i | 0.000692330 | + | 0.00481526i | ||||
\(388\) | −6.57132 | − | 23.9156i | −0.333608 | − | 1.21413i | ||||
\(389\) | −14.1692 | − | 12.2777i | −0.718406 | − | 0.622503i | 0.216961 | − | 0.976180i | \(-0.430386\pi\) |
−0.935367 | + | 0.353678i | \(0.884931\pi\) | |||||||
\(390\) | 0.570288 | − | 3.73487i | 0.0288776 | − | 0.189123i | ||||
\(391\) | 20.9452 | + | 0.751276i | 1.05925 | + | 0.0379937i | ||||
\(392\) | −7.58429 | + | 15.5193i | −0.383064 | + | 0.783843i | ||||
\(393\) | 8.61524 | − | 9.94252i | 0.434581 | − | 0.501534i | ||||
\(394\) | −0.915314 | − | 2.05143i | −0.0461129 | − | 0.103349i | ||||
\(395\) | −21.2282 | + | 3.05216i | −1.06811 | + | 0.153571i | ||||
\(396\) | −0.599470 | − | 4.75713i | −0.0301245 | − | 0.239055i | ||||
\(397\) | −3.93029 | + | 27.3358i | −0.197256 | + | 1.37194i | 0.614948 | + | 0.788568i | \(0.289177\pi\) |
−0.812203 | + | 0.583374i | \(0.801732\pi\) | |||||||
\(398\) | 4.06287 | + | 30.1207i | 0.203653 | + | 1.50982i | ||||
\(399\) | 0.545550 | − | 0.848892i | 0.0273116 | − | 0.0424977i | ||||
\(400\) | 1.77166 | − | 1.05311i | 0.0885831 | − | 0.0526557i | ||||
\(401\) | −10.1786 | + | 34.6652i | −0.508296 | + | 1.73110i | 0.159920 | + | 0.987130i | \(0.448877\pi\) |
−0.668216 | + | 0.743968i | \(0.732942\pi\) | |||||||
\(402\) | 4.25105 | + | 6.74337i | 0.212023 | + | 0.336329i | ||||
\(403\) | 6.49337 | − | 5.62653i | 0.323458 | − | 0.280278i | ||||
\(404\) | 24.7187 | + | 16.5020i | 1.22980 | + | 0.821008i | ||||
\(405\) | −1.92635 | − | 0.879733i | −0.0957210 | − | 0.0437143i | ||||
\(406\) | 1.02285 | − | 1.15983i | 0.0507630 | − | 0.0575614i | ||||
\(407\) | −4.04043 | − | 13.7605i | −0.200277 | − | 0.682080i | ||||
\(408\) | 10.2201 | + | 6.95252i | 0.505971 | + | 0.344201i | ||||
\(409\) | 13.2429 | + | 28.9980i | 0.654820 | + | 1.43386i | 0.887271 | + | 0.461248i | \(0.152598\pi\) |
−0.232451 | + | 0.972608i | \(0.574674\pi\) | |||||||
\(410\) | −0.247980 | + | 28.4287i | −0.0122469 | + | 1.40399i | ||||
\(411\) | −10.4258 | + | 6.70024i | −0.514266 | + | 0.330498i | ||||
\(412\) | 26.5792 | − | 16.4334i | 1.30946 | − | 0.809616i | ||||
\(413\) | − | 1.63090i | − | 0.0802512i | ||||||
\(414\) | 6.28885 | − | 2.53977i | 0.309080 | − | 0.124823i | ||||
\(415\) | − | 8.67271i | − | 0.425727i | ||||||
\(416\) | 0.706661 | + | 7.10120i | 0.0346469 | + | 0.348165i | ||||
\(417\) | −7.98252 | + | 5.13006i | −0.390906 | + | 0.251220i | ||||
\(418\) | 3.62036 | + | 0.0315800i | 0.177077 | + | 0.00154463i | ||||
\(419\) | −5.07324 | − | 11.1088i | −0.247844 | − | 0.542703i | 0.744294 | − | 0.667852i | \(-0.232786\pi\) |
−0.992138 | + | 0.125150i | \(0.960059\pi\) | |||||||
\(420\) | 1.72586 | − | 3.61105i | 0.0842135 | − | 0.176201i | ||||
\(421\) | −8.05061 | − | 27.4179i | −0.392363 | − | 1.33626i | −0.884822 | − | 0.465929i | \(-0.845720\pi\) |
0.492459 | − | 0.870335i | \(-0.336098\pi\) | |||||||
\(422\) | −4.59156 | − | 4.04926i | −0.223514 | − | 0.197115i | ||||
\(423\) | −7.91088 | − | 3.61278i | −0.384640 | − | 0.175659i | ||||
\(424\) | −11.4857 | − | 10.4910i | −0.557794 | − | 0.509486i | ||||
\(425\) | −1.70177 | + | 1.47460i | −0.0825482 | + | 0.0715284i | ||||
\(426\) | −11.2293 | + | 7.07900i | −0.544062 | + | 0.342979i | ||||
\(427\) | 2.08586 | − | 7.10379i | 0.100942 | − | 0.343776i | ||||
\(428\) | 14.7420 | − | 16.4253i | 0.712583 | − | 0.793946i | ||||
\(429\) | −1.63509 | + | 2.54425i | −0.0789429 | + | 0.122838i | ||||
\(430\) | −0.284045 | + | 0.0383137i | −0.0136979 | + | 0.00184765i | ||||
\(431\) | 0.323258 | − | 2.24831i | 0.0155708 | − | 0.108297i | −0.980554 | − | 0.196250i | \(-0.937123\pi\) |
0.996125 | + | 0.0879531i | \(0.0280326\pi\) | |||||||
\(432\) | 3.93702 | + | 0.707027i | 0.189420 | + | 0.0340169i | ||||
\(433\) | 24.1866 | − | 3.47750i | 1.16233 | − | 0.167118i | 0.465964 | − | 0.884804i | \(-0.345708\pi\) |
0.696367 | + | 0.717686i | \(0.254798\pi\) | |||||||
\(434\) | 8.31180 | − | 3.70860i | 0.398979 | − | 0.178018i | ||||
\(435\) | 1.60480 | − | 1.85204i | 0.0769445 | − | 0.0887986i | ||||
\(436\) | −8.60587 | + | 27.5233i | −0.412146 | + | 1.31813i | ||||
\(437\) | 1.26577 | + | 4.96241i | 0.0605500 | + | 0.237384i | ||||
\(438\) | 14.6326 | + | 2.23429i | 0.699171 | + | 0.106758i | ||||
\(439\) | −30.4256 | − | 26.3640i | −1.45214 | − | 1.25828i | −0.907792 | − | 0.419421i | \(-0.862233\pi\) |
−0.544344 | − | 0.838862i | \(-0.683221\pi\) | |||||||
\(440\) | 14.2623 | − | 1.67102i | 0.679928 | − | 0.0796627i | ||||
\(441\) | −0.869127 | − | 6.04491i | −0.0413870 | − | 0.287853i | ||||
\(442\) | −2.13125 | − | 7.49977i | −0.101373 | − | 0.356728i | ||||
\(443\) | 25.8133 | + | 3.71139i | 1.22642 | + | 0.176333i | 0.724927 | − | 0.688826i | \(-0.241873\pi\) |
0.501498 | + | 0.865159i | \(0.332783\pi\) | |||||||
\(444\) | 11.9624 | + | 0.208710i | 0.567711 | + | 0.00990492i | ||||
\(445\) | −8.95424 | − | 5.75454i | −0.424472 | − | 0.272791i | ||||
\(446\) | 10.4710 | − | 15.9849i | 0.495817 | − | 0.756907i | ||||
\(447\) | 21.5799 | + | 6.33644i | 1.02070 | + | 0.299703i | ||||
\(448\) | −1.46580 | + | 7.41613i | −0.0692527 | + | 0.350379i | ||||
\(449\) | 23.8128 | + | 27.4814i | 1.12379 | + | 1.29693i | 0.950037 | + | 0.312139i | \(0.101045\pi\) |
0.173757 | + | 0.984789i | \(0.444409\pi\) | |||||||
\(450\) | −0.308476 | + | 0.660168i | −0.0145417 | + | 0.0311206i | ||||
\(451\) | 9.45384 | − | 20.7010i | 0.445164 | − | 0.974773i | ||||
\(452\) | 16.0777 | − | 13.4476i | 0.756231 | − | 0.632522i | ||||
\(453\) | −6.68765 | + | 1.96367i | −0.314213 | + | 0.0922613i | ||||
\(454\) | −3.47010 | − | 1.05188i | −0.162860 | − | 0.0493670i | ||||
\(455\) | −2.29636 | + | 1.04871i | −0.107655 | + | 0.0491644i | ||||
\(456\) | −0.926475 | + | 2.87478i | −0.0433862 | + | 0.134624i | ||||
\(457\) | −17.1307 | − | 26.6558i | −0.801339 | − | 1.24691i | −0.965482 | − | 0.260471i | \(-0.916122\pi\) |
0.164143 | − | 0.986437i | \(-0.447514\pi\) | |||||||
\(458\) | −9.12186 | + | 7.76587i | −0.426236 | + | 0.362875i | ||||
\(459\) | −4.37019 | −0.203983 | ||||||||
\(460\) | 7.44180 | + | 18.9002i | 0.346976 | + | 0.881224i | ||||
\(461\) | −17.2187 | −0.801953 | −0.400976 | − | 0.916088i | \(-0.631329\pi\) | ||||
−0.400976 | + | 0.916088i | \(0.631329\pi\) | |||||||
\(462\) | −2.43945 | + | 2.07682i | −0.113493 | + | 0.0966223i | ||||
\(463\) | 1.48418 | + | 2.30942i | 0.0689756 | + | 0.107328i | 0.874028 | − | 0.485876i | \(-0.161499\pi\) |
−0.805052 | + | 0.593204i | \(0.797863\pi\) | |||||||
\(464\) | −2.06856 | + | 4.14083i | −0.0960305 | + | 0.192233i | ||||
\(465\) | 13.1199 | − | 5.99165i | 0.608420 | − | 0.277856i | ||||
\(466\) | 21.6803 | + | 6.57186i | 1.00432 | + | 0.304435i | ||||
\(467\) | −16.8042 | + | 4.93416i | −0.777606 | + | 0.228326i | −0.646369 | − | 0.763025i | \(-0.723713\pi\) |
−0.131237 | + | 0.991351i | \(0.541895\pi\) | |||||||
\(468\) | −1.61873 | − | 1.93533i | −0.0748260 | − | 0.0894606i | ||||
\(469\) | 2.21266 | − | 4.84505i | 0.102171 | − | 0.223724i | ||||
\(470\) | 11.0262 | − | 23.5971i | 0.508600 | − | 1.08845i | ||||
\(471\) | 11.7764 | + | 13.5907i | 0.542627 | + | 0.626225i | ||||
\(472\) | 1.25228 | + | 4.71825i | 0.0576410 | + | 0.217175i | ||||
\(473\) | 0.220139 | + | 0.0646386i | 0.0101220 | + | 0.00297208i | ||||
\(474\) | −7.84785 | + | 11.9804i | −0.360464 | + | 0.550279i | ||||
\(475\) | −0.462879 | − | 0.297474i | −0.0212383 | − | 0.0136490i | ||||
\(476\) | 0.144078 | − | 8.25797i | 0.00660379 | − | 0.378503i | ||||
\(477\) | 5.44381 | + | 0.782701i | 0.249255 | + | 0.0358374i | ||||
\(478\) | −1.81714 | − | 6.39441i | −0.0831139 | − | 0.292474i | ||||
\(479\) | −3.16696 | − | 22.0267i | −0.144702 | − | 1.00643i | −0.924715 | − | 0.380661i | \(-0.875696\pi\) |
0.780012 | − | 0.625764i | \(-0.215213\pi\) | |||||||
\(480\) | −2.22025 | + | 11.7721i | −0.101340 | + | 0.537320i | ||||
\(481\) | −5.70334 | − | 4.94197i | −0.260050 | − | 0.225335i | ||||
\(482\) | −6.20970 | − | 0.948176i | −0.282844 | − | 0.0431882i | ||||
\(483\) | −3.72214 | − | 2.58517i | −0.169363 | − | 0.117629i | ||||
\(484\) | 10.0265 | + | 3.13503i | 0.455749 | + | 0.142501i | ||||
\(485\) | −17.1978 | + | 19.8473i | −0.780913 | + | 0.901222i | ||||
\(486\) | −1.29149 | + | 0.576242i | −0.0585831 | + | 0.0261389i | ||||
\(487\) | −23.0005 | + | 3.30697i | −1.04225 | + | 0.149853i | −0.642119 | − | 0.766605i | \(-0.721945\pi\) |
−0.400131 | + | 0.916458i | \(0.631035\pi\) | |||||||
\(488\) | −0.579836 | + | 22.1531i | −0.0262480 | + | 1.00283i | ||||
\(489\) | −1.94483 | + | 13.5266i | −0.0879484 | + | 0.611695i | ||||
\(490\) | 18.1260 | − | 2.44494i | 0.818848 | − | 0.110451i | ||||
\(491\) | 4.08591 | − | 6.35780i | 0.184395 | − | 0.286924i | −0.736733 | − | 0.676183i | \(-0.763633\pi\) |
0.921128 | + | 0.389260i | \(0.127269\pi\) | |||||||
\(492\) | 14.1291 | + | 12.6812i | 0.636991 | + | 0.571712i | ||||
\(493\) | 1.42476 | − | 4.85229i | 0.0641679 | − | 0.218536i | ||||
\(494\) | 1.61163 | − | 1.01598i | 0.0725108 | − | 0.0457111i | ||||
\(495\) | −3.83692 | + | 3.32471i | −0.172457 | + | 0.149435i | ||||
\(496\) | −21.1987 | + | 17.1113i | −0.951850 | + | 0.768321i | ||||
\(497\) | 8.06816 | + | 3.68461i | 0.361906 | + | 0.165277i | ||||
\(498\) | −4.34378 | − | 3.83075i | −0.194649 | − | 0.171660i | ||||
\(499\) | −2.60488 | − | 8.87140i | −0.116610 | − | 0.397138i | 0.880416 | − | 0.474202i | \(-0.157264\pi\) |
−0.997026 | + | 0.0770642i | \(0.975445\pi\) | |||||||
\(500\) | −21.0761 | − | 10.0731i | −0.942551 | − | 0.450483i | ||||
\(501\) | 7.95368 | + | 17.4161i | 0.355344 | + | 0.778095i | ||||
\(502\) | −33.4377 | − | 0.291673i | −1.49240 | − | 0.0130180i | ||||
\(503\) | 2.87051 | − | 1.84477i | 0.127990 | − | 0.0822540i | −0.475079 | − | 0.879943i | \(-0.657581\pi\) |
0.603069 | + | 0.797689i | \(0.293944\pi\) | |||||||
\(504\) | −1.04630 | − | 2.45941i | −0.0466058 | − | 0.109551i | ||||
\(505\) | − | 31.4703i | − | 1.40041i | ||||||
\(506\) | 0.724556 | − | 16.2436i | 0.0322104 | − | 0.722118i | ||||
\(507\) | − | 11.4085i | − | 0.506671i | ||||||
\(508\) | 7.30307 | + | 11.8119i | 0.324021 | + | 0.524068i | ||||
\(509\) | −1.14250 | + | 0.734243i | −0.0506406 | + | 0.0325447i | −0.565716 | − | 0.824600i | \(-0.691400\pi\) |
0.515076 | + | 0.857145i | \(0.327764\pi\) | |||||||
\(510\) | 0.114164 | − | 13.0878i | 0.00505526 | − | 0.579539i | ||||
\(511\) | −4.10867 | − | 8.99673i | −0.181757 | − | 0.397992i | ||||
\(512\) | −1.45384 | − | 22.5807i | −0.0642513 | − | 0.997934i | ||||
\(513\) | −0.300852 | − | 1.02461i | −0.0132830 | − | 0.0452376i | ||||
\(514\) | 2.56370 | − | 2.90704i | 0.113080 | − | 0.128224i | ||||
\(515\) | −30.0984 | − | 13.7455i | −1.32629 | − | 0.605697i | ||||
\(516\) | −0.106273 | + | 0.159189i | −0.00467842 | + | 0.00700789i | ||||
\(517\) | −15.7570 | + | 13.6535i | −0.692992 | + | 0.600481i | ||||
\(518\) | −4.26320 | − | 6.76265i | −0.187314 | − | 0.297134i | ||||
\(519\) | −5.82320 | + | 19.8320i | −0.255610 | + | 0.870528i | ||||
\(520\) | 5.83820 | − | 4.79722i | 0.256022 | − | 0.210372i | ||||
\(521\) | 19.6409 | − | 30.5618i | 0.860484 | − | 1.33894i | −0.0791877 | − | 0.996860i | \(-0.525233\pi\) |
0.939671 | − | 0.342079i | \(-0.111131\pi\) | |||||||
\(522\) | −0.218762 | − | 1.62182i | −0.00957495 | − | 0.0709853i | ||||
\(523\) | −2.68178 | + | 18.6522i | −0.117266 | + | 0.815604i | 0.843278 | + | 0.537477i | \(0.180623\pi\) |
−0.960544 | + | 0.278127i | \(0.910286\pi\) | |||||||
\(524\) | 26.1052 | − | 3.28965i | 1.14041 | − | 0.143709i | ||||
\(525\) | 0.481936 | − | 0.0692920i | 0.0210334 | − | 0.00302415i | ||||
\(526\) | −8.26844 | − | 18.5314i | −0.360521 | − | 0.808009i | ||||
\(527\) | 19.4915 | − | 22.4944i | 0.849062 | − | 0.979869i | ||||
\(528\) | 5.46274 | − | 7.88144i | 0.237735 | − | 0.342996i | ||||
\(529\) | 22.4759 | − | 4.88211i | 0.977212 | − | 0.212266i | ||||
\(530\) | −2.48624 | + | 16.2826i | −0.107995 | + | 0.707273i | ||||
\(531\) | −1.30435 | − | 1.13023i | −0.0566041 | − | 0.0490478i | ||||
\(532\) | 1.94603 | − | 0.534715i | 0.0843712 | − | 0.0231828i | ||||
\(533\) | −1.70426 | − | 11.8534i | −0.0738198 | − | 0.513428i | ||||
\(534\) | −6.83729 | + | 1.94299i | −0.295879 | + | 0.0840815i | ||||
\(535\) | −23.1320 | − | 3.32587i | −1.00008 | − | 0.143790i | ||||
\(536\) | −2.68104 | + | 15.7159i | −0.115803 | + | 0.678824i | ||||
\(537\) | −22.0731 | − | 14.1855i | −0.952525 | − | 0.612151i | ||||
\(538\) | −18.3329 | − | 12.0091i | −0.790387 | − | 0.517748i | ||||
\(539\) | −14.0479 | − | 4.12483i | −0.605085 | − | 0.177669i | ||||
\(540\) | −1.69199 | − | 3.88280i | −0.0728117 | − | 0.167089i | ||||
\(541\) | 13.5445 | + | 15.6312i | 0.582322 | + | 0.672036i | 0.968102 | − | 0.250555i | \(-0.0806131\pi\) |
−0.385780 | + | 0.922591i | \(0.626068\pi\) | |||||||
\(542\) | −3.06513 | − | 1.43224i | −0.131659 | − | 0.0615200i | ||||
\(543\) | −2.79753 | + | 6.12573i | −0.120053 | + | 0.262880i | ||||
\(544\) | 5.92405 | + | 24.0012i | 0.253991 | + | 1.02904i | ||||
\(545\) | 29.2979 | − | 8.60264i | 1.25498 | − | 0.368496i | ||||
\(546\) | −0.489052 | + | 1.61336i | −0.0209295 | + | 0.0690455i | ||||
\(547\) | 31.3529 | − | 14.3184i | 1.34055 | − | 0.612210i | 0.389439 | − | 0.921052i | \(-0.372669\pi\) |
0.951113 | + | 0.308842i | \(0.0999416\pi\) | |||||||
\(548\) | −24.4687 | − | 3.95490i | −1.04525 | − | 0.168945i | ||||
\(549\) | −4.23592 | − | 6.59122i | −0.180785 | − | 0.281307i | ||||
\(550\) | 1.13244 | + | 1.33017i | 0.0482872 | + | 0.0567186i | ||||
\(551\) | 1.23572 | 0.0526435 | ||||||||
\(552\) | 12.7533 | + | 4.62096i | 0.542817 | + | 0.196681i | ||||
\(553\) | 9.56968 | 0.406944 | ||||||||
\(554\) | 1.54631 | + | 1.81631i | 0.0656963 | + | 0.0771674i | ||||
\(555\) | −6.84908 | − | 10.6574i | −0.290727 | − | 0.452381i | ||||
\(556\) | −18.7346 | − | 3.02808i | −0.794522 | − | 0.128419i | ||||
\(557\) | −21.0274 | + | 9.60291i | −0.890961 | + | 0.406888i | −0.807669 | − | 0.589637i | \(-0.799271\pi\) |
−0.0832926 | + | 0.996525i | \(0.526544\pi\) | |||||||
\(558\) | 2.79412 | − | 9.21769i | 0.118284 | − | 0.390216i | ||||
\(559\) | 0.115840 | − | 0.0340136i | 0.00489949 | − | 0.00143862i | ||||
\(560\) | 7.39277 | − | 3.06920i | 0.312402 | − | 0.129697i | ||||
\(561\) | −4.35230 | + | 9.53021i | −0.183754 | + | 0.402366i | ||||
\(562\) | −8.07663 | − | 3.77396i | −0.340692 | − | 0.159195i | ||||
\(563\) | 18.3850 | + | 21.2174i | 0.774835 | + | 0.894208i | 0.996725 | − | 0.0808642i | \(-0.0257680\pi\) |
−0.221890 | + | 0.975072i | \(0.571223\pi\) | |||||||
\(564\) | −6.94845 | − | 15.9454i | −0.292583 | − | 0.671422i | ||||
\(565\) | −21.2949 | − | 6.25276i | −0.895884 | − | 0.263055i | ||||
\(566\) | −0.0206325 | − | 0.0135155i | −0.000867249 | − | 0.000568097i | ||||
\(567\) | 0.794943 | + | 0.510879i | 0.0333845 | + | 0.0214549i | ||||
\(568\) | −26.1707 | − | 4.46457i | −1.09810 | − | 0.187329i | ||||
\(569\) | −39.3371 | − | 5.65582i | −1.64910 | − | 0.237104i | −0.745814 | − | 0.666154i | \(-0.767939\pi\) |
−0.903281 | + | 0.429050i | \(0.858849\pi\) | |||||||
\(570\) | 3.07635 | − | 0.874225i | 0.128854 | − | 0.0366173i | ||||
\(571\) | 4.28154 | + | 29.7788i | 0.179177 | + | 1.24620i | 0.858673 | + | 0.512524i | \(0.171289\pi\) |
−0.679496 | + | 0.733679i | \(0.737802\pi\) | |||||||
\(572\) | −5.83254 | + | 1.60262i | −0.243871 | + | 0.0670088i | ||||
\(573\) | −4.15636 | − | 3.60151i | −0.173634 | − | 0.150455i | ||||
\(574\) | 1.91482 | − | 12.5403i | 0.0799229 | − | 0.523423i | ||||
\(575\) | −1.40963 | + | 2.02958i | −0.0587855 | + | 0.0846395i | ||||
\(576\) | 4.91543 | + | 6.31178i | 0.204810 | + | 0.262991i | ||||
\(577\) | −10.3545 | + | 11.9497i | −0.431062 | + | 0.497472i | −0.929175 | − | 0.369640i | \(-0.879481\pi\) |
0.498113 | + | 0.867112i | \(0.334026\pi\) | |||||||
\(578\) | −1.20928 | − | 2.71026i | −0.0502993 | − | 0.112732i | ||||
\(579\) | 3.86727 | − | 0.556029i | 0.160718 | − | 0.0231078i | ||||
\(580\) | 4.86275 | − | 0.612780i | 0.201915 | − | 0.0254443i | ||||
\(581\) | −0.550738 | + | 3.83047i | −0.0228485 | + | 0.158915i | ||||
\(582\) | 2.34435 | + | 17.3802i | 0.0971766 | + | 0.720434i | ||||
\(583\) | 7.12838 | − | 11.0920i | 0.295227 | − | 0.459383i | ||||
\(584\) | 18.7947 | + | 22.8730i | 0.777729 | + | 0.946493i | ||||
\(585\) | −0.752666 | + | 2.56335i | −0.0311189 | + | 0.105981i | ||||
\(586\) | 14.4885 | + | 22.9828i | 0.598513 | + | 0.949412i | ||||
\(587\) | −0.396943 | + | 0.343953i | −0.0163836 | + | 0.0141965i | −0.663014 | − | 0.748607i | \(-0.730723\pi\) |
0.646630 | + | 0.762803i | \(0.276178\pi\) | |||||||
\(588\) | 6.78170 | − | 10.1584i | 0.279673 | − | 0.418927i | ||||
\(589\) | 6.61573 | + | 3.02130i | 0.272596 | + | 0.124491i | ||||
\(590\) | 3.41888 | − | 3.87675i | 0.140753 | − | 0.159603i | ||||
\(591\) | 0.447509 | + | 1.52408i | 0.0184081 | + | 0.0626921i | ||||
\(592\) | 17.5263 | + | 16.2911i | 0.720326 | + | 0.669560i | ||||
\(593\) | 7.03113 | + | 15.3960i | 0.288734 | + | 0.632239i | 0.997302 | − | 0.0734029i | \(-0.0233859\pi\) |
−0.708568 | + | 0.705642i | \(0.750659\pi\) | |||||||
\(594\) | −0.0295730 | + | 3.39027i | −0.00121339 | + | 0.139105i | ||||
\(595\) | −7.35707 | + | 4.72810i | −0.301610 | + | 0.193833i | ||||
\(596\) | 23.6552 | + | 38.2597i | 0.968956 | + | 1.56718i | ||||
\(597\) | − | 21.4915i | − | 0.879587i | ||||||
\(598\) | −4.30043 | − | 7.39682i | −0.175858 | − | 0.302479i | ||||
\(599\) | − | 1.25273i | − | 0.0511853i | −0.999672 | − | 0.0255927i | \(-0.991853\pi\) | ||
0.999672 | − | 0.0255927i | \(-0.00814729\pi\) | |||||||
\(600\) | −1.34105 | + | 0.570519i | −0.0547483 | + | 0.0232913i | ||||
\(601\) | −24.3462 | + | 15.6463i | −0.993101 | + | 0.638228i | −0.932967 | − | 0.359963i | \(-0.882789\pi\) |
−0.0601348 | + | 0.998190i | \(0.519153\pi\) | |||||||
\(602\) | 0.127887 | + | 0.00111554i | 0.00521228 | + | 4.54662e-5i | ||||
\(603\) | −2.34156 | − | 5.12731i | −0.0953558 | − | 0.208800i | ||||
\(604\) | −12.5773 | − | 6.01119i | −0.511763 | − | 0.244592i | ||||
\(605\) | −3.13386 | − | 10.6729i | −0.127409 | − | 0.433916i | ||||
\(606\) | −15.7621 | − | 13.9005i | −0.640290 | − | 0.564668i | ||||
\(607\) | −2.12327 | − | 0.969663i | −0.0861807 | − | 0.0393574i | 0.371858 | − | 0.928290i | \(-0.378721\pi\) |
−0.458039 | + | 0.888932i | \(0.651448\pi\) | |||||||
\(608\) | −5.21937 | + | 3.04121i | −0.211673 | + | 0.123337i | ||||
\(609\) | −0.826402 | + | 0.716081i | −0.0334875 | + | 0.0290171i | ||||
\(610\) | 19.8500 | − | 12.5135i | 0.803704 | − | 0.506658i | ||||
\(611\) | −3.09096 | + | 10.5268i | −0.125047 | + | 0.425870i | ||||
\(612\) | −6.50468 | − | 5.83809i | −0.262936 | − | 0.235991i | ||||
\(613\) | −3.16565 | + | 4.92585i | −0.127859 | + | 0.198953i | −0.899281 | − | 0.437371i | \(-0.855910\pi\) |
0.771422 | + | 0.636324i | \(0.219546\pi\) | |||||||
\(614\) | 8.64208 | − | 1.16570i | 0.348766 | − | 0.0470437i | ||||
\(615\) | 2.86094 | − | 19.8983i | 0.115364 | − | 0.802376i | ||||
\(616\) | −6.40533 | − | 0.167653i | −0.258078 | − | 0.00675493i | ||||
\(617\) | 36.6252 | − | 5.26590i | 1.47447 | − | 0.211997i | 0.642275 | − | 0.766474i | \(-0.277991\pi\) |
0.832199 | + | 0.554477i | \(0.187082\pi\) | |||||||
\(618\) | −20.1790 | + | 9.00354i | −0.811718 | + | 0.362176i | ||||
\(619\) | −31.1578 | + | 35.9581i | −1.25234 | + | 1.44528i | −0.404920 | + | 0.914352i | \(0.632701\pi\) |
−0.847419 | + | 0.530924i | \(0.821845\pi\) | |||||||
\(620\) | 27.5321 | + | 8.60861i | 1.10572 | + | 0.345730i | ||||
\(621\) | −4.64704 | + | 1.18533i | −0.186479 | + | 0.0475656i | ||||
\(622\) | 5.20411 | + | 0.794629i | 0.208666 | + | 0.0318617i | ||||
\(623\) | 3.58938 | + | 3.11022i | 0.143806 | + | 0.124608i | ||||
\(624\) | 0.176027 | − | 5.04304i | 0.00704670 | − | 0.201883i | ||||
\(625\) | 3.15344 | + | 21.9327i | 0.126138 | + | 0.877307i | ||||
\(626\) | 7.12292 | + | 25.0652i | 0.284689 | + | 1.00181i | ||||
\(627\) | −2.53402 | − | 0.364337i | −0.101199 | − | 0.0145502i | ||||
\(628\) | −0.627408 | + | 35.9606i | −0.0250363 | + | 1.43498i | ||||
\(629\) | −21.9929 | − | 14.1340i | −0.876913 | − | 0.563558i | ||||
\(630\) | −1.55074 | + | 2.36735i | −0.0617831 | + | 0.0943173i | ||||
\(631\) | 7.88672 | + | 2.31575i | 0.313965 | + | 0.0921885i | 0.434919 | − | 0.900470i | \(-0.356777\pi\) |
−0.120954 | + | 0.992658i | \(0.538595\pi\) | |||||||
\(632\) | −27.6854 | + | 7.34807i | −1.10127 | + | 0.292290i | ||||
\(633\) | 2.83483 | + | 3.27157i | 0.112675 | + | 0.130033i | ||||
\(634\) | 5.42305 | − | 11.6058i | 0.215377 | − | 0.460927i | ||||
\(635\) | 6.10854 | − | 13.3758i | 0.242410 | − | 0.530804i | ||||
\(636\) | 7.05708 | + | 8.43731i | 0.279831 | + | 0.334561i | ||||
\(637\) | −7.39216 | + | 2.17053i | −0.292888 | + | 0.0859997i | ||||
\(638\) | −3.75463 | − | 1.13812i | −0.148647 | − | 0.0450588i | ||||
\(639\) | 8.53819 | − | 3.89926i | 0.337765 | − | 0.154252i | ||||
\(640\) | −19.0309 | + | 14.5558i | −0.752262 | + | 0.575370i | ||||
\(641\) | 8.27784 | + | 12.8806i | 0.326955 | + | 0.508752i | 0.965351 | − | 0.260957i | \(-0.0840379\pi\) |
−0.638396 | + | 0.769708i | \(0.720402\pi\) | |||||||
\(642\) | −11.8832 | + | 10.1167i | −0.468993 | + | 0.399276i | ||||
\(643\) | 18.7831 | 0.740731 | 0.370366 | − | 0.928886i | \(-0.379232\pi\) | ||||
0.370366 | + | 0.928886i | \(0.379232\pi\) | |||||||
\(644\) | −2.08661 | − | 8.82019i | −0.0822238 | − | 0.347564i | ||||
\(645\) | 0.202669 | 0.00798008 | ||||||||
\(646\) | 5.02532 | − | 4.27829i | 0.197718 | − | 0.168327i | ||||
\(647\) | −7.84057 | − | 12.2002i | −0.308244 | − | 0.479638i | 0.652224 | − | 0.758026i | \(-0.273836\pi\) |
−0.960469 | + | 0.278388i | \(0.910200\pi\) | |||||||
\(648\) | −2.69208 | − | 0.867595i | −0.105755 | − | 0.0340824i | ||||
\(649\) | −3.76374 | + | 1.71884i | −0.147740 | + | 0.0674704i | ||||
\(650\) | 0.879725 | + | 0.266667i | 0.0345056 | + | 0.0104596i | ||||
\(651\) | −6.17513 | + | 1.81318i | −0.242022 | + | 0.0710642i | ||||
\(652\) | −20.9648 | + | 17.5352i | −0.821045 | + | 0.686732i | ||||
\(653\) | 3.45039 | − | 7.55530i | 0.135024 | − | 0.295662i | −0.830027 | − | 0.557723i | \(-0.811675\pi\) |
0.965051 | + | 0.262061i | \(0.0844023\pi\) | |||||||
\(654\) | 8.63224 | − | 18.4738i | 0.337547 | − | 0.722383i | ||||
\(655\) | −18.2447 | − | 21.0555i | −0.712879 | − | 0.822706i | ||||
\(656\) | 4.08944 | + | 37.7499i | 0.159666 | + | 1.47389i | ||||
\(657\) | −10.0427 | − | 2.94881i | −0.391804 | − | 0.115044i | ||||
\(658\) | −6.36840 | + | 9.72192i | −0.248266 | + | 0.379000i | ||||
\(659\) | −3.39110 | − | 2.17933i | −0.132099 | − | 0.0848946i | 0.472923 | − | 0.881104i | \(-0.343199\pi\) |
−0.605021 | + | 0.796209i | \(0.706835\pi\) | |||||||
\(660\) | −10.1524 | − | 0.177130i | −0.395182 | − | 0.00689478i | ||||
\(661\) | −29.4311 | − | 4.23155i | −1.14474 | − | 0.164588i | −0.456260 | − | 0.889846i | \(-0.650811\pi\) |
−0.688477 | + | 0.725258i | \(0.741720\pi\) | |||||||
\(662\) | −11.7241 | − | 41.2566i | −0.455671 | − | 1.60348i | ||||
\(663\) | 0.784598 | + | 5.45700i | 0.0304712 | + | 0.211932i | ||||
\(664\) | −1.34791 | − | 11.5046i | −0.0523092 | − | 0.446464i | ||||
\(665\) | −1.61500 | − | 1.39940i | −0.0626269 | − | 0.0542666i | ||||
\(666\) | −8.36306 | − | 1.27698i | −0.324062 | − | 0.0494819i | ||||
\(667\) | 0.198932 | − | 5.54612i | 0.00770266 | − | 0.214746i | ||||
\(668\) | −11.4276 | + | 36.5478i | −0.442147 | + | 1.41408i | ||||
\(669\) | −8.84861 | + | 10.2118i | −0.342107 | + | 0.394813i | ||||
\(670\) | 15.4164 | − | 6.87856i | 0.595588 | − | 0.265742i | ||||
\(671\) | −18.5923 | + | 2.67316i | −0.717746 | + | 0.103196i | ||||
\(672\) | 1.72817 | − | 5.05838i | 0.0666657 | − | 0.195131i | ||||
\(673\) | −2.10702 | + | 14.6546i | −0.0812196 | + | 0.564895i | 0.908058 | + | 0.418845i | \(0.137565\pi\) |
−0.989277 | + | 0.146050i | \(0.953344\pi\) | |||||||
\(674\) | 23.7123 | − | 3.19846i | 0.913363 | − | 0.123200i | ||||
\(675\) | 0.278569 | − | 0.433462i | 0.0107221 | − | 0.0166839i | ||||
\(676\) | 15.2406 | − | 16.9807i | 0.586175 | − | 0.653105i | ||||
\(677\) | −0.901298 | + | 3.06954i | −0.0346397 | + | 0.117972i | −0.974998 | − | 0.222214i | \(-0.928672\pi\) |
0.940358 | + | 0.340186i | \(0.110490\pi\) | |||||||
\(678\) | −12.5377 | + | 7.90383i | −0.481508 | + | 0.303545i | ||||
\(679\) | 8.85610 | − | 7.67386i | 0.339866 | − | 0.294496i | ||||
\(680\) | 17.6538 | − | 19.3277i | 0.676993 | − | 0.741183i | ||||
\(681\) | 2.33228 | + | 1.06512i | 0.0893733 | + | 0.0408154i | ||||
\(682\) | −17.3186 | − | 15.2732i | −0.663164 | − | 0.584840i | ||||
\(683\) | −6.17175 | − | 21.0190i | −0.236155 | − | 0.804271i | −0.989234 | − | 0.146341i | \(-0.953250\pi\) |
0.753079 | − | 0.657930i | \(-0.228568\pi\) | |||||||
\(684\) | 0.920969 | − | 1.92696i | 0.0352141 | − | 0.0736790i | ||||
\(685\) | 10.9027 | + | 23.8735i | 0.416569 | + | 0.912159i | ||||
\(686\) | −17.5151 | − | 0.152783i | −0.668730 | − | 0.00583326i | ||||
\(687\) | 7.12629 | − | 4.57979i | 0.271885 | − | 0.174730i | ||||
\(688\) | −0.370838 | + | 0.0949705i | −0.0141381 | + | 0.00362072i | ||||
\(689\) | − | 6.93813i | − | 0.264322i | ||||||
\(690\) | −3.42842 | − | 13.9479i | −0.130518 | − | 0.530988i | ||||
\(691\) | 37.5655i | 1.42906i | 0.699605 | + | 0.714530i | \(0.253360\pi\) | ||||
−0.699605 | + | 0.714530i | \(0.746640\pi\) | |||||||
\(692\) | −35.1607 | + | 21.7392i | −1.33661 | + | 0.826401i | ||||
\(693\) | 1.90578 | − | 1.22477i | 0.0723945 | − | 0.0465251i | ||||
\(694\) | 0.362374 | − | 41.5428i | 0.0137555 | − | 1.57694i | ||||
\(695\) | 8.34765 | + | 18.2788i | 0.316645 | + | 0.693355i | ||||
\(696\) | 1.84097 | − | 2.70620i | 0.0697817 | − | 0.102578i | ||||
\(697\) | −11.6876 | − | 39.8045i | −0.442701 | − | 1.50770i | ||||
\(698\) | −1.86433 | + | 2.11401i | −0.0705659 | + | 0.0800163i | ||||
\(699\) | −14.5715 | − | 6.65458i | −0.551145 | − | 0.251699i | ||||
\(700\) | 0.809891 | + | 0.540678i | 0.0306110 | + | 0.0204357i | ||||
\(701\) | 16.8705 | − | 14.6184i | 0.637191 | − | 0.552129i | −0.275232 | − | 0.961378i | \(-0.588755\pi\) |
0.912423 | + | 0.409249i | \(0.134209\pi\) | |||||||
\(702\) | 0.951412 | + | 1.50921i | 0.0359087 | + | 0.0569615i | ||||
\(703\) | 1.79973 | − | 6.12933i | 0.0678782 | − | 0.231172i | ||||
\(704\) | 18.6596 | − | 4.43330i | 0.703260 | − | 0.167086i | ||||
\(705\) | −9.95719 | + | 15.4937i | −0.375009 | + | 0.583526i | ||||
\(706\) | 4.40081 | + | 32.6261i | 0.165627 | + | 1.22790i | ||||
\(707\) | −1.99844 | + | 13.8995i | −0.0751591 | + | 0.522743i | ||||
\(708\) | −0.431568 | − | 3.42473i | −0.0162193 | − | 0.128709i | ||||
\(709\) | −5.30691 | + | 0.763018i | −0.199305 | + | 0.0286558i | −0.241244 | − | 0.970464i | \(-0.577556\pi\) |
0.0419392 | + | 0.999120i | \(0.486646\pi\) | |||||||
\(710\) | 11.4544 | + | 25.6720i | 0.429877 | + | 0.963453i | ||||
\(711\) | 6.63189 | − | 7.65361i | 0.248715 | − | 0.287033i | ||||
\(712\) | −12.7724 | − | 6.24187i | −0.478666 | − | 0.233924i | ||||
\(713\) | 14.6251 | − | 29.2061i | 0.547715 | − | 1.09378i | ||||
\(714\) | −0.881531 | + | 5.77324i | −0.0329905 | + | 0.216058i | ||||
\(715\) | 4.84038 | + | 4.19421i | 0.181020 | + | 0.156855i | ||||
\(716\) | −13.9038 | − | 50.6013i | −0.519610 | − | 1.89106i | ||||
\(717\) | 0.668959 | + | 4.65271i | 0.0249827 | + | 0.173759i | ||||
\(718\) | 34.4224 | − | 9.78200i | 1.28463 | − | 0.365061i | ||||
\(719\) | −18.4090 | − | 2.64682i | −0.686542 | − | 0.0987098i | −0.209788 | − | 0.977747i | \(-0.567277\pi\) |
−0.476753 | + | 0.879037i | \(0.658187\pi\) | |||||||
\(720\) | 2.66860 | − | 8.03956i | 0.0994527 | − | 0.299617i | ||||
\(721\) | 12.4206 | + | 7.98226i | 0.462569 | + | 0.297275i | ||||
\(722\) | −21.1279 | − | 13.8400i | −0.786301 | − | 0.515071i | ||||
\(723\) | 4.26189 | + | 1.25140i | 0.158501 | + | 0.0465402i | ||||
\(724\) | −12.3472 | + | 5.38048i | −0.458880 | + | 0.199964i | ||||
\(725\) | 0.390460 | + | 0.450615i | 0.0145013 | + | 0.0167354i | ||||
\(726\) | −6.72983 | − | 3.14464i | −0.249767 | − | 0.116708i | ||||
\(727\) | 1.68568 | − | 3.69111i | 0.0625182 | − | 0.136896i | −0.875794 | − | 0.482685i | \(-0.839662\pi\) |
0.938312 | + | 0.345789i | \(0.112389\pi\) | |||||||
\(728\) | −2.88319 | + | 1.74804i | −0.106858 | + | 0.0647869i | ||||
\(729\) | 0.959493 | − | 0.281733i | 0.0355368 | − | 0.0104345i | ||||
\(730\) | 9.09344 | − | 29.9989i | 0.336563 | − | 1.11031i | ||||
\(731\) | 0.380438 | − | 0.173740i | 0.0140710 | − | 0.00642602i | ||||
\(732\) | 2.50031 | − | 15.4692i | 0.0924140 | − | 0.571760i | ||||
\(733\) | −1.04203 | − | 1.62143i | −0.0384883 | − | 0.0598889i | 0.821476 | − | 0.570243i | \(-0.193151\pi\) |
−0.859965 | + | 0.510354i | \(0.829514\pi\) | |||||||
\(734\) | 26.3643 | + | 30.9678i | 0.973124 | + | 1.14304i | ||||
\(735\) | −12.9331 | −0.477043 | ||||||||
\(736\) | 12.8092 | + | 23.9149i | 0.472153 | + | 0.881516i | ||||
\(737\) | −13.5133 | −0.497767 | ||||||||
\(738\) | −8.70248 | − | 10.2220i | −0.320343 | − | 0.376277i | ||||
\(739\) | 12.5174 | + | 19.4774i | 0.460460 | + | 0.716489i | 0.991392 | − | 0.130925i | \(-0.0417947\pi\) |
−0.530933 | + | 0.847414i | \(0.678158\pi\) | |||||||
\(740\) | 4.04276 | − | 25.0123i | 0.148615 | − | 0.919470i | ||||
\(741\) | −1.22540 | + | 0.559623i | −0.0450163 | + | 0.0205582i | ||||
\(742\) | 2.13208 | − | 7.03366i | 0.0782712 | − | 0.258214i | ||||
\(743\) | 19.4198 | − | 5.70218i | 0.712445 | − | 0.209193i | 0.0946256 | − | 0.995513i | \(-0.469835\pi\) |
0.617819 | + | 0.786320i | \(0.288016\pi\) | |||||||
\(744\) | 16.4726 | − | 9.98717i | 0.603916 | − | 0.366147i | ||||
\(745\) | 19.7860 | − | 43.3254i | 0.724905 | − | 1.58732i | ||||
\(746\) | −37.1377 | − | 17.3533i | −1.35971 | − | 0.635349i | ||||
\(747\) | 2.68185 | + | 3.09502i | 0.0981239 | + | 0.113241i | ||||
\(748\) | −19.2094 | + | 8.37077i | −0.702364 | + | 0.306066i | ||||
\(749\) | 10.0055 | + | 2.93787i | 0.365592 | + | 0.107347i | ||||
\(750\) | 13.8171 | + | 9.05101i | 0.504531 | + | 0.330496i | ||||
\(751\) | 36.8288 | + | 23.6685i | 1.34390 | + | 0.863674i | 0.997235 | − | 0.0743137i | \(-0.0236766\pi\) |
0.346668 | + | 0.937988i | \(0.387313\pi\) | |||||||
\(752\) | 10.9591 | − | 33.0158i | 0.399636 | − | 1.20396i | ||||
\(753\) | 23.4042 | + | 3.36502i | 0.852898 | + | 0.122628i | ||||
\(754\) | −1.98588 | + | 0.564338i | −0.0723213 | + | 0.0205520i | ||||
\(755\) | 2.10064 | + | 14.6102i | 0.0764500 | + | 0.531721i | ||||
\(756\) | 0.500733 | + | 1.82236i | 0.0182115 | + | 0.0662785i | ||||
\(757\) | 22.5761 | + | 19.5623i | 0.820541 | + | 0.711003i | 0.960235 | − | 0.279191i | \(-0.0900664\pi\) |
−0.139694 | + | 0.990195i | \(0.544612\pi\) | |||||||
\(758\) | −7.80634 | + | 51.1245i | −0.283539 | + | 1.85693i | ||||
\(759\) | −2.04314 | + | 11.3144i | −0.0741612 | + | 0.410687i | ||||
\(760\) | 5.74678 | + | 2.80845i | 0.208458 | + | 0.101873i | ||||
\(761\) | −7.41332 | + | 8.55543i | −0.268733 | + | 0.310134i | −0.874036 | − | 0.485861i | \(-0.838506\pi\) |
0.605304 | + | 0.795995i | \(0.293052\pi\) | |||||||
\(762\) | −4.00121 | − | 8.96762i | −0.144949 | − | 0.324862i | ||||
\(763\) | −13.4863 | + | 1.93903i | −0.488235 | + | 0.0701976i | ||||
\(764\) | −1.37520 | − | 10.9130i | −0.0497531 | − | 0.394818i | ||||
\(765\) | −1.31710 | + | 9.16064i | −0.0476199 | + | 0.331204i | ||||
\(766\) | −0.280828 | − | 2.08196i | −0.0101467 | − | 0.0752242i | ||||
\(767\) | −1.17713 | + | 1.83164i | −0.0425035 | + | 0.0661368i | ||||
\(768\) | −1.11560 | + | 15.9611i | −0.0402556 | + | 0.575945i | ||||
\(769\) | −15.0900 | + | 51.3918i | −0.544159 | + | 1.85324i | −0.0230698 | + | 0.999734i | \(0.507344\pi\) |
−0.521089 | + | 0.853502i | \(0.674474\pi\) | |||||||
\(770\) | 3.61815 | + | 5.73941i | 0.130389 | + | 0.206834i | ||||
\(771\) | −2.07132 | + | 1.79481i | −0.0745968 | + | 0.0646385i | ||||
\(772\) | 6.49892 | + | 4.33864i | 0.233901 | + | 0.156151i | ||||
\(773\) | −2.34440 | − | 1.07065i | −0.0843221 | − | 0.0385086i | 0.372808 | − | 0.927909i | \(-0.378395\pi\) |
−0.457130 | + | 0.889400i | \(0.651122\pi\) | |||||||
\(774\) | 0.0895191 | − | 0.101508i | 0.00321770 | − | 0.00364863i | ||||
\(775\) | 0.988681 | + | 3.36714i | 0.0355145 | + | 0.120951i | ||||
\(776\) | −19.7287 | + | 29.0009i | −0.708218 | + | 1.04107i | ||||
\(777\) | 2.34826 | + | 5.14197i | 0.0842433 | + | 0.184467i | ||||
\(778\) | −0.231274 | + | 26.5134i | −0.00829156 | + | 0.950552i | ||||
\(779\) | 8.52772 | − | 5.48043i | 0.305537 | − | 0.196357i | ||||
\(780\) | −4.54463 | + | 2.80986i | −0.162724 | + | 0.100609i | ||||
\(781\) | − | 22.5028i | − | 0.805213i | ||||||
\(782\) | −18.3926 | − | 23.2432i | −0.657720 | − | 0.831173i | ||||
\(783\) | 1.15719i | 0.0413546i | ||||||||
\(784\) | 23.6646 | − | 6.06042i | 0.845163 | − | 0.216444i | ||||
\(785\) | 32.0375 | − | 20.5892i | 1.14347 | − | 0.734861i | ||||
\(786\) | −18.6045 | − | 0.162285i | −0.663599 | − | 0.00578850i | ||||
\(787\) | −3.33732 | − | 7.30772i | −0.118963 | − | 0.260492i | 0.840778 | − | 0.541381i | \(-0.182098\pi\) |
−0.959740 | + | 0.280889i | \(0.909371\pi\) | |||||||
\(788\) | −1.36992 | + | 2.86629i | −0.0488012 | + | 0.102107i | ||||
\(789\) | 4.04255 | + | 13.7677i | 0.143919 | + | 0.490142i | ||||
\(790\) | 22.7477 | + | 20.0611i | 0.809329 | + | 0.713742i | ||||
\(791\) | 9.00825 | + | 4.11393i | 0.320296 | + | 0.146274i | ||||
\(792\) | −4.57305 | + | 5.00665i | −0.162496 | + | 0.177904i | ||||
\(793\) | −7.46988 | + | 6.47269i | −0.265263 | + | 0.229852i | ||||
\(794\) | 33.0390 | − | 20.8279i | 1.17251 | − | 0.739156i | ||||
\(795\) | 3.28134 | − | 11.1752i | 0.116377 | − | 0.396345i | ||||
\(796\) | 28.7102 | − | 31.9884i | 1.01761 | − | 1.13380i | ||||
\(797\) | −0.383882 | + | 0.597333i | −0.0135978 | + | 0.0211586i | −0.847986 | − | 0.530019i | \(-0.822185\pi\) |
0.834388 | + | 0.551177i | \(0.185821\pi\) | |||||||
\(798\) | −1.41425 | + | 0.190762i | −0.0500638 | + | 0.00675291i | ||||
\(799\) | −5.40891 | + | 37.6198i | −0.191353 | + | 1.33089i | ||||
\(800\) | −2.75820 | − | 0.942328i | −0.0975172 | − | 0.0333163i | ||||
\(801\) | 4.97496 | − | 0.715292i | 0.175782 | − | 0.0252736i | ||||
\(802\) | 46.6598 | − | 20.8189i | 1.64761 | − | 0.735140i | ||||
\(803\) | −16.4322 | + | 18.9637i | −0.579879 | + | 0.669216i | ||||
\(804\) | 3.36428 | − | 10.7597i | 0.118649 | − | 0.379464i | ||||
\(805\) | −6.54074 | + | 7.02309i | −0.230531 | + | 0.247531i | ||||
\(806\) | −12.0116 | − | 1.83409i | −0.423092 | − | 0.0646030i | ||||
\(807\) | 11.7118 | + | 10.1484i | 0.412276 | + | 0.357239i | ||||
\(808\) | −4.89112 | − | 41.7461i | −0.172069 | − | 1.46862i | ||||
\(809\) | −5.09168 | − | 35.4134i | −0.179014 | − | 1.24507i | −0.859051 | − | 0.511891i | \(-0.828945\pi\) |
0.680037 | − | 0.733178i | \(-0.261964\pi\) | |||||||
\(810\) | 0.818666 | + | 2.88085i | 0.0287650 | + | 0.101223i | ||||
\(811\) | 50.6158 | + | 7.27745i | 1.77736 | + | 0.255546i | 0.951351 | − | 0.308109i | \(-0.0996961\pi\) |
0.826010 | + | 0.563655i | \(0.190605\pi\) | |||||||
\(812\) | −2.18664 | − | 0.0381505i | −0.0767360 | − | 0.00133882i | ||||
\(813\) | 2.01254 | + | 1.29338i | 0.0705829 | + | 0.0453609i | ||||
\(814\) | −11.1136 | + | 16.9658i | −0.389530 | + | 0.594652i | ||||
\(815\) | 27.7679 | + | 8.15339i | 0.972667 | + | 0.285601i | ||||
\(816\) | −1.88267 | − | 17.3791i | −0.0659067 | − | 0.608389i | ||||
\(817\) | 0.0669243 | + | 0.0772348i | 0.00234138 | + | 0.00270210i | ||||
\(818\) | 19.0853 | − | 40.8444i | 0.667302 | − | 1.42809i | ||||
\(819\) | 0.495208 | − | 1.08435i | 0.0173040 | − | 0.0378904i | ||||
\(820\) | 30.8402 | − | 25.7951i | 1.07699 | − | 0.900804i | ||||
\(821\) | 43.2092 | − | 12.6874i | 1.50801 | − | 0.442792i | 0.579772 | − | 0.814779i | \(-0.303142\pi\) |
0.928238 | + | 0.371987i | \(0.121323\pi\) | |||||||
\(822\) | 16.7729 | + | 5.08430i | 0.585022 | + | 0.177335i | ||||
\(823\) | 33.7260 | − | 15.4021i | 1.17561 | − | 0.536885i | 0.270777 | − | 0.962642i | \(-0.412719\pi\) |
0.904837 | + | 0.425757i | \(0.139992\pi\) | |||||||
\(824\) | −42.0626 | − | 13.5558i | −1.46532 | − | 0.472239i | ||||
\(825\) | −0.667835 | − | 1.03917i | −0.0232510 | − | 0.0361793i | ||||
\(826\) | −1.75620 | + | 1.49513i | −0.0611059 | + | 0.0520223i | ||||
\(827\) | 6.05748 | 0.210639 | 0.105320 | − | 0.994438i | \(-0.466413\pi\) | ||||
0.105320 | + | 0.994438i | \(0.466413\pi\) | |||||||
\(828\) | −8.50023 | − | 4.44367i | −0.295403 | − | 0.154428i | ||||
\(829\) | 15.6646 | 0.544054 | 0.272027 | − | 0.962290i | \(-0.412306\pi\) | ||||
0.272027 | + | 0.962290i | \(0.412306\pi\) | |||||||
\(830\) | −9.33903 | + | 7.95075i | −0.324162 | + | 0.275975i | ||||
\(831\) | −0.911908 | − | 1.41896i | −0.0316337 | − | 0.0492231i | ||||
\(832\) | 6.99894 | − | 7.27101i | 0.242645 | − | 0.252077i | ||||
\(833\) | −24.2772 | + | 11.0870i | −0.841156 | + | 0.384143i | ||||
\(834\) | 12.8422 | + | 3.89281i | 0.444689 | + | 0.134797i | ||||
\(835\) | 38.9042 | − | 11.4233i | 1.34634 | − | 0.395320i | ||||
\(836\) | −3.28497 | − | 3.92745i | −0.113613 | − | 0.135834i | ||||
\(837\) | −2.82929 | + | 6.19528i | −0.0977946 | + | 0.214140i | ||||
\(838\) | −7.31141 | + | 15.6471i | −0.252568 | + | 0.540520i | ||||
\(839\) | −10.9114 | − | 12.5924i | −0.376702 | − | 0.434738i | 0.535464 | − | 0.844558i | \(-0.320137\pi\) |
−0.912166 | + | 0.409821i | \(0.865591\pi\) | |||||||
\(840\) | −5.47067 | + | 1.45199i | −0.188756 | + | 0.0500983i | ||||
\(841\) | 26.5405 | + | 7.79298i | 0.915188 | + | 0.268723i | ||||
\(842\) | −22.1439 | + | 33.8046i | −0.763129 | + | 1.16498i | ||||
\(843\) | 5.30306 | + | 3.40807i | 0.182647 | + | 0.117380i | ||||
\(844\) | −0.151031 | + | 8.65650i | −0.00519870 | + | 0.297969i | ||||
\(845\) | −23.9142 | − | 3.43834i | −0.822674 | − | 0.118283i | ||||
\(846\) | 3.36200 | + | 11.8307i | 0.115588 | + | 0.406748i | ||||
\(847\) | 0.706370 | + | 4.91291i | 0.0242712 | + | 0.168810i | ||||
\(848\) | −0.767410 | + | 21.9858i | −0.0263530 | + | 0.754994i | ||||
\(849\) | 0.0131809 | + | 0.0114213i | 0.000452368 | + | 0.000391979i | ||||
\(850\) | 3.14800 | + | 0.480676i | 0.107975 | + | 0.0164871i | ||||
\(851\) | −27.2197 | − | 9.06422i | −0.933079 | − | 0.310717i | ||||
\(852\) | 17.9174 | + | 5.60233i | 0.613840 | + | 0.191933i | ||||
\(853\) | 0.0478926 | − | 0.0552710i | 0.00163981 | − | 0.00189244i | −0.754929 | − | 0.655806i | \(-0.772329\pi\) |
0.756569 | + | 0.653914i | \(0.226874\pi\) | |||||||
\(854\) | −9.56178 | + | 4.26632i | −0.327197 | + | 0.145990i | ||||
\(855\) | −2.23842 | + | 0.321837i | −0.0765524 | + | 0.0110066i | ||||
\(856\) | −31.2020 | − | 0.816682i | −1.06646 | − | 0.0279136i | ||||
\(857\) | 0.759199 | − | 5.28034i | 0.0259337 | − | 0.180373i | −0.972737 | − | 0.231909i | \(-0.925503\pi\) |
0.998671 | + | 0.0515363i | \(0.0164118\pi\) | |||||||
\(858\) | 4.23870 | − | 0.571742i | 0.144707 | − | 0.0195190i | ||||
\(859\) | −6.66683 | + | 10.3738i | −0.227469 | + | 0.353949i | −0.936162 | − | 0.351568i | \(-0.885649\pi\) |
0.708693 | + | 0.705517i | \(0.249285\pi\) | |||||||
\(860\) | 0.301657 | + | 0.270743i | 0.0102864 | + | 0.00923227i | ||||
\(861\) | −2.52718 | + | 8.60677i | −0.0861259 | + | 0.293318i | ||||
\(862\) | −2.71739 | + | 1.71306i | −0.0925548 | + | 0.0583469i | ||||
\(863\) | 23.2098 | − | 20.1114i | 0.790069 | − | 0.684599i | −0.163243 | − | 0.986586i | \(-0.552195\pi\) |
0.953312 | + | 0.301987i | \(0.0976499\pi\) | |||||||
\(864\) | −2.84793 | − | 4.88767i | −0.0968887 | − | 0.166282i | ||||
\(865\) | 39.8161 | + | 18.1834i | 1.35379 | + | 0.618255i | ||||
\(866\) | −25.9178 | − | 22.8568i | −0.880723 | − | 0.776704i | ||||
\(867\) | 0.591231 | + | 2.01355i | 0.0200793 | + | 0.0683837i | ||||
\(868\) | −11.6134 | − | 5.55051i | −0.394185 | − | 0.188397i | ||||
\(869\) | −10.0857 | − | 22.0846i | −0.342135 | − | 0.749170i | ||||
\(870\) | −3.46554 | − | 0.0302296i | −0.117493 | − | 0.00102488i | ||||
\(871\) | −5.98201 | + | 3.84440i | −0.202693 | + | 0.130263i | ||||
\(872\) | 37.5274 | − | 15.9651i | 1.27084 | − | 0.540647i | ||||
\(873\) | − | 12.4010i | − | 0.419709i | ||||||
\(874\) | 4.18327 | − | 5.91234i | 0.141501 | − | 0.199988i | ||||
\(875\) | − | 11.0368i | − | 0.373112i | ||||||
\(876\) | −11.0085 | − | 17.8051i | −0.371944 | − | 0.601577i | ||||
\(877\) | −5.66094 | + | 3.63807i | −0.191157 | + | 0.122849i | −0.632718 | − | 0.774382i | \(-0.718061\pi\) |
0.441562 | + | 0.897231i | \(0.354425\pi\) | |||||||
\(878\) | −0.496616 | + | 56.9325i | −0.0167600 | + | 1.92138i | ||||
\(879\) | −7.98054 | − | 17.4749i | −0.269177 | − | 0.589415i | ||||
\(880\) | −14.8744 | − | 13.8261i | −0.501417 | − | 0.466079i | ||||
\(881\) | −10.5152 | − | 35.8114i | −0.354265 | − | 1.20652i | −0.923260 | − | 0.384175i | \(-0.874486\pi\) |
0.568995 | − | 0.822341i | \(-0.307332\pi\) | |||||||
\(882\) | −5.71255 | + | 6.47760i | −0.192352 | + | 0.218112i | ||||
\(883\) | 50.2432 | + | 22.9453i | 1.69082 | + | 0.772171i | 0.998731 | + | 0.0503565i | \(0.0160358\pi\) |
0.692087 | + | 0.721814i | \(0.256692\pi\) | |||||||
\(884\) | −6.12213 | + | 9.17045i | −0.205910 | + | 0.308436i | ||||
\(885\) | −2.76226 | + | 2.39351i | −0.0928523 | + | 0.0804569i | ||||
\(886\) | −19.6679 | − | 31.1989i | −0.660756 | − | 1.04815i | ||||
\(887\) | −0.159223 | + | 0.542264i | −0.00534619 | + | 0.0182075i | −0.962123 | − | 0.272616i | \(-0.912111\pi\) |
0.956777 | + | 0.290824i | \(0.0939293\pi\) | |||||||
\(888\) | −10.7419 | − | 13.0728i | −0.360473 | − | 0.438694i | ||||
\(889\) | −3.54735 | + | 5.51978i | −0.118974 | + | 0.185128i | ||||
\(890\) | 2.01219 | + | 14.9177i | 0.0674488 | + | 0.500042i | ||||
\(891\) | 0.341182 | − | 2.37297i | 0.0114300 | − | 0.0794976i | ||||
\(892\) | −26.8124 | + | 3.37876i | −0.897744 | + | 0.113129i | ||||
\(893\) | −9.19247 | + | 1.32168i | −0.307614 | + | 0.0442283i | ||||
\(894\) | −12.9602 | − | 29.0468i | −0.433455 | − | 0.971471i | ||||
\(895\) | −36.3877 | + | 41.9936i | −1.21631 | + | 1.40369i | ||||
\(896\) | 9.32969 | − | 5.22036i | 0.311683 | − | 0.174400i | ||||
\(897\) | 2.31440 | + | 5.58989i | 0.0772757 | + | 0.186641i | ||||
\(898\) | 7.76228 | − | 50.8360i | 0.259031 | − | 1.69642i | ||||
\(899\) | −5.95631 | − | 5.16118i | −0.198654 | − | 0.172135i | ||||
\(900\) | 0.993685 | − | 0.273037i | 0.0331228 | − | 0.00910122i | ||||
\(901\) | −3.42055 | − | 23.7905i | −0.113955 | − | 0.792575i | ||||
\(902\) | −30.9583 | + | 8.79760i | −1.03080 | + | 0.292928i | ||||
\(903\) | −0.0895126 | − | 0.0128700i | −0.00297879 | − | 0.000428286i | ||||
\(904\) | −29.2201 | − | 4.98478i | −0.971845 | − | 0.165791i | ||||
\(905\) | 11.9974 | + | 7.71027i | 0.398808 | + | 0.256298i | ||||
\(906\) | 8.24548 | + | 5.40125i | 0.273938 | + | 0.179444i | ||||
\(907\) | −24.3349 | − | 7.14538i | −0.808028 | − | 0.237258i | −0.148475 | − | 0.988916i | \(-0.547436\pi\) |
−0.659553 | + | 0.751658i | \(0.729255\pi\) | |||||||
\(908\) | 2.04854 | + | 4.70102i | 0.0679832 | + | 0.156009i | ||||
\(909\) | 9.73153 | + | 11.2308i | 0.322774 | + | 0.372501i | ||||
\(910\) | 3.23448 | + | 1.51137i | 0.107222 | + | 0.0501016i | ||||
\(911\) | −17.4164 | + | 38.1367i | −0.577032 | + | 1.26352i | 0.365936 | + | 0.930640i | \(0.380749\pi\) |
−0.942968 | + | 0.332884i | \(0.891978\pi\) | |||||||
\(912\) | 3.94499 | − | 1.63781i | 0.130632 | − | 0.0542333i | ||||
\(913\) | 9.42029 | − | 2.76605i | 0.311766 | − | 0.0915428i | ||||
\(914\) | −12.9991 | + | 42.8837i | −0.429973 | + | 1.41847i | ||||
\(915\) | −15.0929 | + | 6.89271i | −0.498957 | + | 0.227866i | ||||
\(916\) | 16.7250 | + | 2.70328i | 0.552610 | + | 0.0893189i | ||||
\(917\) | 6.72104 | + | 10.4581i | 0.221948 | + | 0.345358i | ||||
\(918\) | 4.00639 | + | 4.70595i | 0.132231 | + | 0.155319i | ||||
\(919\) | 30.5639 | 1.00821 | 0.504105 | − | 0.863642i | \(-0.331822\pi\) | ||||
0.504105 | + | 0.863642i | \(0.331822\pi\) | |||||||
\(920\) | 13.5299 | − | 25.3404i | 0.446069 | − | 0.835447i | ||||
\(921\) | −6.16621 | −0.203184 | ||||||||
\(922\) | 15.7853 | + | 18.5415i | 0.519861 | + | 0.610633i | ||||
\(923\) | −6.40185 | − | 9.96147i | −0.210719 | − | 0.327886i | ||||
\(924\) | 4.47276 | + | 0.722935i | 0.147143 | + | 0.0237828i | ||||
\(925\) | 2.80378 | − | 1.28044i | 0.0921878 | − | 0.0421007i | ||||
\(926\) | 1.12623 | − | 3.71538i | 0.0370101 | − | 0.122095i | ||||
\(927\) | 14.9917 | − | 4.40195i | 0.492391 | − | 0.144579i | ||||
\(928\) | 6.35532 | − | 1.56864i | 0.208624 | − | 0.0514931i | ||||
\(929\) | 3.47675 | − | 7.61301i | 0.114068 | − | 0.249775i | −0.843984 | − | 0.536369i | \(-0.819796\pi\) |
0.958052 | + | 0.286594i | \(0.0925230\pi\) | |||||||
\(930\) | −18.4797 | − | 8.63499i | −0.605973 | − | 0.283152i | ||||
\(931\) | −4.27069 | − | 4.92864i | −0.139966 | − | 0.161530i | ||||
\(932\) | −12.7988 | − | 29.3708i | −0.419237 | − | 0.962071i | ||||
\(933\) | −3.57172 | − | 1.04875i | −0.116933 | − | 0.0343346i | ||||
\(934\) | 20.7186 | + | 13.5718i | 0.677933 | + | 0.444084i | ||||
\(935\) | 18.6652 | + | 11.9954i | 0.610417 | + | 0.392291i | ||||
\(936\) | −0.600035 | + | 3.51732i | −0.0196128 | + | 0.114967i | ||||
\(937\) | 57.7788 | + | 8.30733i | 1.88755 | + | 0.271389i | 0.986677 | − | 0.162693i | \(-0.0520181\pi\) |
0.900873 | + | 0.434082i | \(0.142927\pi\) | |||||||
\(938\) | −7.24576 | + | 2.05907i | −0.236582 | + | 0.0672310i | ||||
\(939\) | −2.62223 | − | 18.2380i | −0.0855731 | − | 0.595174i | ||||
\(940\) | −35.5183 | + | 9.75944i | −1.15848 | + | 0.318318i | ||||
\(941\) | −7.50321 | − | 6.50157i | −0.244598 | − | 0.211945i | 0.523931 | − | 0.851761i | \(-0.324465\pi\) |
−0.768528 | + | 0.639816i | \(0.779011\pi\) | |||||||
\(942\) | 3.83876 | − | 25.1404i | 0.125074 | − | 0.819120i | ||||
\(943\) | −23.2242 | − | 39.1560i | −0.756285 | − | 1.27510i | ||||
\(944\) | 3.93271 | − | 5.67397i | 0.127999 | − | 0.184672i | ||||
\(945\) | 1.31047 | − | 1.51236i | 0.0426295 | − | 0.0491971i | ||||
\(946\) | −0.132209 | − | 0.296309i | −0.00429847 | − | 0.00963385i | ||||
\(947\) | 56.0503 | − | 8.05882i | 1.82139 | − | 0.261877i | 0.854940 | − | 0.518727i | \(-0.173594\pi\) |
0.966451 | + | 0.256850i | \(0.0826848\pi\) | |||||||
\(948\) | 20.0954 | − | 2.53233i | 0.652669 | − | 0.0822461i | ||||
\(949\) | −1.87913 | + | 13.0696i | −0.0609991 | + | 0.424258i | ||||
\(950\) | 0.104018 | + | 0.771152i | 0.00337478 | + | 0.0250195i | ||||
\(951\) | −4.89728 | + | 7.62032i | −0.158805 | + | 0.247106i | ||||
\(952\) | −9.02450 | + | 7.41539i | −0.292486 | + | 0.240334i | ||||
\(953\) | 1.80653 | − | 6.15246i | 0.0585191 | − | 0.199298i | −0.925045 | − | 0.379858i | \(-0.875973\pi\) |
0.983564 | + | 0.180560i | \(0.0577910\pi\) | |||||||
\(954\) | −4.14780 | − | 6.57959i | −0.134290 | − | 0.213022i | ||||
\(955\) | −8.80201 | + | 7.62699i | −0.284826 | + | 0.246803i | ||||
\(956\) | −5.21982 | + | 7.81886i | −0.168821 | + | 0.252880i | ||||
\(957\) | 2.52352 | + | 1.15245i | 0.0815737 | + | 0.0372535i | ||||
\(958\) | −20.8156 | + | 23.6034i | −0.672523 | + | 0.762590i | ||||
\(959\) | −3.29934 | − | 11.2365i | −0.106541 | − | 0.362846i | ||||
\(960\) | 14.7120 | − | 8.40130i | 0.474826 | − | 0.271151i | ||||
\(961\) | −6.39174 | − | 13.9960i | −0.206185 | − | 0.451483i | ||||
\(962\) | −0.0930916 | + | 10.6721i | −0.00300139 | + | 0.344082i | ||||
\(963\) | 9.28354 | − | 5.96617i | 0.299158 | − | 0.192257i | ||||
\(964\) | 4.67175 | + | 7.55603i | 0.150467 | + | 0.243363i | ||||
\(965\) | − | 8.27402i | − | 0.266350i | ||||||
\(966\) | 0.628501 | + | 6.37807i | 0.0202217 | + | 0.205211i | ||||
\(967\) | − | 4.83618i | − | 0.155521i | −0.996972 | − | 0.0777605i | \(-0.975223\pi\) | ||
0.996972 | − | 0.0777605i | \(-0.0247769\pi\) | |||||||
\(968\) | −5.81593 | − | 13.6709i | −0.186931 | − | 0.439398i | ||||
\(969\) | −3.92594 | + | 2.52305i | −0.126119 | + | 0.0810520i | ||||
\(970\) | 37.1384 | + | 0.323954i | 1.19244 | + | 0.0104015i | ||||
\(971\) | 1.43329 | + | 3.13847i | 0.0459966 | + | 0.100718i | 0.931235 | − | 0.364419i | \(-0.118732\pi\) |
−0.885239 | + | 0.465137i | \(0.846005\pi\) | |||||||
\(972\) | 1.80449 | + | 0.862440i | 0.0578792 | + | 0.0276628i | ||||
\(973\) | −2.52615 | − | 8.60328i | −0.0809847 | − | 0.275809i | ||||
\(974\) | 24.6468 | + | 21.7359i | 0.789735 | + | 0.696463i | ||||
\(975\) | −0.591270 | − | 0.270024i | −0.0189358 | − | 0.00864769i | ||||
\(976\) | 24.3867 | − | 19.6846i | 0.780600 | − | 0.630090i | ||||
\(977\) | 11.4082 | − | 9.88526i | 0.364981 | − | 0.316257i | −0.452992 | − | 0.891515i | \(-0.649643\pi\) |
0.817973 | + | 0.575257i | \(0.195098\pi\) | |||||||
\(978\) | 16.3488 | − | 10.3063i | 0.522776 | − | 0.329560i | ||||
\(979\) | 3.39474 | − | 11.5614i | 0.108496 | − | 0.369504i | ||||
\(980\) | −19.2499 | − | 17.2772i | −0.614914 | − | 0.551898i | ||||
\(981\) | −7.79533 | + | 12.1298i | −0.248886 | + | 0.387274i | ||||
\(982\) | −10.5920 | + | 1.42872i | −0.338006 | + | 0.0455923i | ||||
\(983\) | −1.50885 | + | 10.4943i | −0.0481250 | + | 0.334716i | 0.951508 | + | 0.307624i | \(0.0995339\pi\) |
−0.999633 | + | 0.0270924i | \(0.991375\pi\) | |||||||
\(984\) | 0.702515 | − | 26.8402i | 0.0223954 | − | 0.855635i | ||||
\(985\) | 3.32959 | − | 0.478723i | 0.106090 | − | 0.0152534i | ||||
\(986\) | −6.53124 | + | 2.91414i | −0.207997 | + | 0.0928050i | ||||
\(987\) | 5.38167 | − | 6.21078i | 0.171300 | − | 0.197691i | ||||
\(988\) | −2.57151 | − | 0.804048i | −0.0818106 | − | 0.0255802i | ||||
\(989\) | 0.357416 | − | 0.287933i | 0.0113652 | − | 0.00915575i | ||||
\(990\) | 7.09766 | + | 1.08376i | 0.225579 | + | 0.0344442i | ||||
\(991\) | −36.9864 | − | 32.0489i | −1.17491 | − | 1.01807i | −0.999436 | − | 0.0335832i | \(-0.989308\pi\) |
−0.175476 | − | 0.984484i | \(-0.556146\pi\) | |||||||
\(992\) | 37.8600 | + | 7.14050i | 1.20206 | + | 0.226711i | ||||
\(993\) | 4.31611 | + | 30.0192i | 0.136968 | + | 0.952631i | ||||
\(994\) | −3.42884 | − | 12.0659i | −0.108756 | − | 0.382707i | ||||
\(995\) | −45.0497 | − | 6.47716i | −1.42817 | − | 0.205340i | ||||
\(996\) | −0.142881 | + | 8.18936i | −0.00452735 | + | 0.259490i | ||||
\(997\) | −32.9866 | − | 21.1992i | −1.04470 | − | 0.671385i | −0.0985517 | − | 0.995132i | \(-0.531421\pi\) |
−0.946144 | + | 0.323747i | \(0.895057\pi\) | |||||||
\(998\) | −7.16494 | + | 10.9379i | −0.226802 | + | 0.346233i | ||||
\(999\) | 5.73980 | + | 1.68536i | 0.181599 | + | 0.0533223i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 276.2.m.a.7.7 | ✓ | 240 | |
3.2 | odd | 2 | 828.2.u.c.559.18 | 240 | |||
4.3 | odd | 2 | inner | 276.2.m.a.7.20 | yes | 240 | |
12.11 | even | 2 | 828.2.u.c.559.5 | 240 | |||
23.10 | odd | 22 | inner | 276.2.m.a.79.20 | yes | 240 | |
69.56 | even | 22 | 828.2.u.c.631.5 | 240 | |||
92.79 | even | 22 | inner | 276.2.m.a.79.7 | yes | 240 | |
276.263 | odd | 22 | 828.2.u.c.631.18 | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
276.2.m.a.7.7 | ✓ | 240 | 1.1 | even | 1 | trivial | |
276.2.m.a.7.20 | yes | 240 | 4.3 | odd | 2 | inner | |
276.2.m.a.79.7 | yes | 240 | 92.79 | even | 22 | inner | |
276.2.m.a.79.20 | yes | 240 | 23.10 | odd | 22 | inner | |
828.2.u.c.559.5 | 240 | 12.11 | even | 2 | |||
828.2.u.c.559.18 | 240 | 3.2 | odd | 2 | |||
828.2.u.c.631.5 | 240 | 69.56 | even | 22 | |||
828.2.u.c.631.18 | 240 | 276.263 | odd | 22 |