Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,2,Mod(9,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.g (of order \(21\), degree \(12\), 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: | \(0.343356728692\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 17.3 | ||
Character | \(\chi\) | \(=\) | 43.17 |
Dual form | 43.2.g.a.38.3 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{19}{21}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.377390 | + | 1.65345i | 0.266855 | + | 1.16917i | 0.913649 | + | 0.406504i | \(0.133252\pi\) |
−0.646794 | + | 0.762665i | \(0.723891\pi\) | |||||||
\(3\) | −1.63701 | + | 0.504949i | −0.945125 | + | 0.291533i | −0.728752 | − | 0.684778i | \(-0.759899\pi\) |
−0.216374 | + | 0.976311i | \(0.569423\pi\) | |||||||
\(4\) | −0.789549 | + | 0.380227i | −0.394774 | + | 0.190113i | ||||
\(5\) | 0.140805 | − | 0.358765i | 0.0629698 | − | 0.160444i | −0.895926 | − | 0.444204i | \(-0.853487\pi\) |
0.958895 | + | 0.283760i | \(0.0915818\pi\) | |||||||
\(6\) | −1.45270 | − | 2.51615i | −0.593062 | − | 1.02721i | ||||
\(7\) | 1.74586 | − | 3.02391i | 0.659871 | − | 1.14293i | −0.320777 | − | 0.947155i | \(-0.603944\pi\) |
0.980649 | − | 0.195776i | \(-0.0627225\pi\) | |||||||
\(8\) | 1.18819 | + | 1.48995i | 0.420089 | + | 0.526775i | ||||
\(9\) | −0.0539035 | + | 0.0367508i | −0.0179678 | + | 0.0122503i | ||||
\(10\) | 0.646339 | + | 0.0974200i | 0.204390 | + | 0.0308069i | ||||
\(11\) | −3.90633 | − | 1.88119i | −1.17780 | − | 0.567200i | −0.260533 | − | 0.965465i | \(-0.583898\pi\) |
−0.917270 | + | 0.398265i | \(0.869612\pi\) | |||||||
\(12\) | 1.10050 | − | 1.02111i | 0.317687 | − | 0.294770i | ||||
\(13\) | 1.26408 | − | 0.190529i | 0.350591 | − | 0.0528432i | 0.0286141 | − | 0.999591i | \(-0.490891\pi\) |
0.321977 | + | 0.946747i | \(0.395653\pi\) | |||||||
\(14\) | 5.65876 | + | 1.74550i | 1.51237 | + | 0.466504i | ||||
\(15\) | −0.0493402 | + | 0.658399i | −0.0127396 | + | 0.169998i | ||||
\(16\) | −3.10791 | + | 3.89720i | −0.776978 | + | 0.974300i | ||||
\(17\) | 0.205594 | + | 0.523844i | 0.0498638 | + | 0.127051i | 0.953636 | − | 0.300964i | \(-0.0973084\pi\) |
−0.903772 | + | 0.428015i | \(0.859213\pi\) | |||||||
\(18\) | −0.0811084 | − | 0.0752576i | −0.0191174 | − | 0.0177384i | ||||
\(19\) | −6.30490 | − | 4.29861i | −1.44644 | − | 0.986169i | −0.995614 | − | 0.0935586i | \(-0.970176\pi\) |
−0.450830 | − | 0.892610i | \(-0.648872\pi\) | |||||||
\(20\) | 0.0252397 | + | 0.336800i | 0.00564376 | + | 0.0753107i | ||||
\(21\) | −1.33105 | + | 5.83172i | −0.290460 | + | 1.27259i | ||||
\(22\) | 1.63625 | − | 7.16888i | 0.348850 | − | 1.52841i | ||||
\(23\) | 0.553943 | + | 7.39185i | 0.115505 | + | 1.54131i | 0.690610 | + | 0.723228i | \(0.257342\pi\) |
−0.575105 | + | 0.818080i | \(0.695039\pi\) | |||||||
\(24\) | −2.69742 | − | 1.83907i | −0.550609 | − | 0.375399i | ||||
\(25\) | 3.55637 | + | 3.29983i | 0.711275 | + | 0.659966i | ||||
\(26\) | 0.792080 | + | 2.01819i | 0.155340 | + | 0.395799i | ||||
\(27\) | 3.27401 | − | 4.10548i | 0.630084 | − | 0.790100i | ||||
\(28\) | −0.228667 | + | 3.05134i | −0.0432139 | + | 0.576650i | ||||
\(29\) | 3.26143 | + | 1.00602i | 0.605633 | + | 0.186813i | 0.582380 | − | 0.812917i | \(-0.302122\pi\) |
0.0232528 | + | 0.999730i | \(0.492598\pi\) | |||||||
\(30\) | −1.10725 | + | 0.166892i | −0.202156 | + | 0.0304701i | ||||
\(31\) | −0.717059 | + | 0.665333i | −0.128788 | + | 0.119497i | −0.741937 | − | 0.670469i | \(-0.766093\pi\) |
0.613150 | + | 0.789967i | \(0.289902\pi\) | |||||||
\(32\) | −4.18276 | − | 2.01431i | −0.739415 | − | 0.356083i | ||||
\(33\) | 7.34459 | + | 1.10702i | 1.27853 | + | 0.192707i | ||||
\(34\) | −0.788563 | + | 0.537633i | −0.135237 | + | 0.0922033i | ||||
\(35\) | −0.839048 | − | 1.05213i | −0.141825 | − | 0.177843i | ||||
\(36\) | 0.0285858 | − | 0.0495121i | 0.00476430 | − | 0.00825202i | ||||
\(37\) | −2.19799 | − | 3.80703i | −0.361348 | − | 0.625872i | 0.626835 | − | 0.779152i | \(-0.284350\pi\) |
−0.988183 | + | 0.153279i | \(0.951017\pi\) | |||||||
\(38\) | 4.72814 | − | 12.0471i | 0.767006 | − | 1.95430i | ||||
\(39\) | −1.97309 | + | 0.950190i | −0.315947 | + | 0.152152i | ||||
\(40\) | 0.701843 | − | 0.216490i | 0.110971 | − | 0.0342301i | ||||
\(41\) | −1.07956 | − | 4.72986i | −0.168599 | − | 0.738679i | −0.986559 | − | 0.163405i | \(-0.947752\pi\) |
0.817960 | − | 0.575275i | \(-0.195105\pi\) | |||||||
\(42\) | −10.1448 | −1.56538 | ||||||||
\(43\) | 3.30784 | + | 5.66200i | 0.504440 | + | 0.863447i | ||||
\(44\) | 3.79952 | 0.572799 | ||||||||
\(45\) | 0.00559502 | + | 0.0245134i | 0.000834056 | + | 0.00365424i | ||||
\(46\) | −12.0130 | + | 3.70553i | −1.77122 | + | 0.546351i | ||||
\(47\) | 3.93826 | − | 1.89657i | 0.574455 | − | 0.276643i | −0.124017 | − | 0.992280i | \(-0.539578\pi\) |
0.698472 | + | 0.715637i | \(0.253864\pi\) | |||||||
\(48\) | 3.11978 | − | 7.94908i | 0.450302 | − | 1.14735i | ||||
\(49\) | −2.59602 | − | 4.49644i | −0.370860 | − | 0.642348i | ||||
\(50\) | −4.11398 | + | 7.12562i | −0.581805 | + | 1.00772i | ||||
\(51\) | −0.601072 | − | 0.753721i | −0.0841670 | − | 0.105542i | ||||
\(52\) | −0.925605 | + | 0.631067i | −0.128358 | + | 0.0875132i | ||||
\(53\) | −9.56301 | − | 1.44139i | −1.31358 | − | 0.197990i | −0.545374 | − | 0.838193i | \(-0.683613\pi\) |
−0.768207 | + | 0.640202i | \(0.778851\pi\) | |||||||
\(54\) | 8.02380 | + | 3.86406i | 1.09190 | + | 0.525832i | ||||
\(55\) | −1.22493 | + | 1.13657i | −0.165170 | + | 0.153256i | ||||
\(56\) | 6.57987 | − | 0.991756i | 0.879272 | − | 0.132529i | ||||
\(57\) | 12.4917 | + | 3.85319i | 1.65457 | + | 0.510368i | ||||
\(58\) | −0.432573 | + | 5.77229i | −0.0567997 | + | 0.757939i | ||||
\(59\) | −2.92222 | + | 3.66435i | −0.380441 | + | 0.477058i | −0.934777 | − | 0.355235i | \(-0.884401\pi\) |
0.554336 | + | 0.832293i | \(0.312972\pi\) | |||||||
\(60\) | −0.211384 | − | 0.538598i | −0.0272896 | − | 0.0695328i | ||||
\(61\) | 3.96588 | + | 3.67980i | 0.507779 | + | 0.471150i | 0.891964 | − | 0.452106i | \(-0.149327\pi\) |
−0.384185 | + | 0.923256i | \(0.625518\pi\) | |||||||
\(62\) | −1.37071 | − | 0.934533i | −0.174080 | − | 0.118686i | ||||
\(63\) | 0.0170234 | + | 0.227161i | 0.00214474 | + | 0.0286196i | ||||
\(64\) | −0.466364 | + | 2.04327i | −0.0582955 | + | 0.255409i | ||||
\(65\) | 0.109633 | − | 0.480333i | 0.0135983 | − | 0.0595780i | ||||
\(66\) | 0.941371 | + | 12.5617i | 0.115875 | + | 1.54624i | ||||
\(67\) | 10.8402 | + | 7.39075i | 1.32435 | + | 0.902924i | 0.999088 | − | 0.0427010i | \(-0.0135963\pi\) |
0.325259 | + | 0.945625i | \(0.394549\pi\) | |||||||
\(68\) | −0.361505 | − | 0.335428i | −0.0438390 | − | 0.0406766i | ||||
\(69\) | −4.63932 | − | 11.8208i | −0.558508 | − | 1.42306i | ||||
\(70\) | 1.42300 | − | 1.78439i | 0.170082 | − | 0.213275i | ||||
\(71\) | 0.570335 | − | 7.61059i | 0.0676863 | − | 0.903211i | −0.855239 | − | 0.518233i | \(-0.826590\pi\) |
0.922926 | − | 0.384978i | \(-0.125791\pi\) | |||||||
\(72\) | −0.118804 | − | 0.0366463i | −0.0140012 | − | 0.00431881i | ||||
\(73\) | −2.05301 | + | 0.309442i | −0.240287 | + | 0.0362175i | −0.268082 | − | 0.963396i | \(-0.586390\pi\) |
0.0277945 | + | 0.999614i | \(0.491152\pi\) | |||||||
\(74\) | 5.46525 | − | 5.07101i | 0.635323 | − | 0.589493i | ||||
\(75\) | −7.48805 | − | 3.60605i | −0.864646 | − | 0.416391i | ||||
\(76\) | 6.61247 | + | 0.996670i | 0.758502 | + | 0.114326i | ||||
\(77\) | −12.5084 | + | 8.52811i | −1.42547 | + | 0.971868i | ||||
\(78\) | −2.31572 | − | 2.90382i | −0.262204 | − | 0.328793i | ||||
\(79\) | 4.14234 | − | 7.17474i | 0.466049 | − | 0.807221i | −0.533199 | − | 0.845990i | \(-0.679010\pi\) |
0.999248 | + | 0.0387687i | \(0.0123436\pi\) | |||||||
\(80\) | 0.960569 | + | 1.66375i | 0.107395 | + | 0.186013i | ||||
\(81\) | −3.21501 | + | 8.19171i | −0.357223 | + | 0.910190i | ||||
\(82\) | 7.41318 | − | 3.57000i | 0.818649 | − | 0.394241i | ||||
\(83\) | −11.1319 | + | 3.43375i | −1.22189 | + | 0.376903i | −0.837587 | − | 0.546305i | \(-0.816034\pi\) |
−0.384302 | + | 0.923207i | \(0.625558\pi\) | |||||||
\(84\) | −1.16645 | − | 5.11053i | −0.127270 | − | 0.557605i | ||||
\(85\) | 0.216885 | 0.0235245 | ||||||||
\(86\) | −8.11351 | + | 7.60614i | −0.874902 | + | 0.820191i | ||||
\(87\) | −5.84697 | −0.626861 | ||||||||
\(88\) | −1.83860 | − | 8.05544i | −0.195995 | − | 0.858712i | ||||
\(89\) | 2.60667 | − | 0.804052i | 0.276307 | − | 0.0852293i | −0.153505 | − | 0.988148i | \(-0.549056\pi\) |
0.429812 | + | 0.902919i | \(0.358580\pi\) | |||||||
\(90\) | −0.0384202 | + | 0.0185022i | −0.00404985 | + | 0.00195030i | ||||
\(91\) | 1.63075 | − | 4.15509i | 0.170949 | − | 0.435571i | ||||
\(92\) | −3.24794 | − | 5.62560i | −0.338621 | − | 0.586509i | ||||
\(93\) | 0.837869 | − | 1.45123i | 0.0868830 | − | 0.150486i | ||||
\(94\) | 4.62215 | + | 5.79599i | 0.476738 | + | 0.597811i | ||||
\(95\) | −2.42995 | + | 1.65671i | −0.249308 | + | 0.169975i | ||||
\(96\) | 7.86433 | + | 1.18536i | 0.802650 | + | 0.120980i | ||||
\(97\) | 0.441741 | + | 0.212731i | 0.0448520 | + | 0.0215996i | 0.456175 | − | 0.889890i | \(-0.349219\pi\) |
−0.411323 | + | 0.911490i | \(0.634933\pi\) | |||||||
\(98\) | 6.45494 | − | 5.98931i | 0.652048 | − | 0.605012i | ||||
\(99\) | 0.279700 | − | 0.0421580i | 0.0281109 | − | 0.00423704i | ||||
\(100\) | −4.06261 | − | 1.25315i | −0.406261 | − | 0.125315i | ||||
\(101\) | 0.164575 | − | 2.19611i | 0.0163759 | − | 0.218521i | −0.983012 | − | 0.183541i | \(-0.941244\pi\) |
0.999388 | − | 0.0349802i | \(-0.0111368\pi\) | |||||||
\(102\) | 1.01940 | − | 1.27829i | 0.100936 | − | 0.126570i | ||||
\(103\) | −1.86980 | − | 4.76417i | −0.184237 | − | 0.469427i | 0.808679 | − | 0.588250i | \(-0.200183\pi\) |
−0.992915 | + | 0.118823i | \(0.962088\pi\) | |||||||
\(104\) | 1.78584 | + | 1.65702i | 0.175116 | + | 0.162484i | ||||
\(105\) | 1.90480 | + | 1.29867i | 0.185889 | + | 0.126737i | ||||
\(106\) | −1.22571 | − | 16.3560i | −0.119052 | − | 1.58863i | ||||
\(107\) | 2.28640 | − | 10.0174i | 0.221035 | − | 0.968418i | −0.735666 | − | 0.677345i | \(-0.763131\pi\) |
0.956701 | − | 0.291073i | \(-0.0940123\pi\) | |||||||
\(108\) | −1.02398 | + | 4.48634i | −0.0985323 | + | 0.431698i | ||||
\(109\) | −0.0839896 | − | 1.12076i | −0.00804474 | − | 0.107350i | 0.991736 | − | 0.128297i | \(-0.0409509\pi\) |
−0.999781 | + | 0.0209470i | \(0.993332\pi\) | |||||||
\(110\) | −2.34155 | − | 1.59644i | −0.223258 | − | 0.152215i | ||||
\(111\) | 5.52048 | + | 5.12226i | 0.523981 | + | 0.486183i | ||||
\(112\) | 6.35882 | + | 16.2020i | 0.600852 | + | 1.53094i | ||||
\(113\) | 9.95806 | − | 12.4870i | 0.936776 | − | 1.17468i | −0.0476475 | − | 0.998864i | \(-0.515172\pi\) |
0.984423 | − | 0.175815i | \(-0.0562562\pi\) | |||||||
\(114\) | −1.65682 | + | 22.1087i | −0.155175 | + | 2.07067i | ||||
\(115\) | 2.72993 | + | 0.842073i | 0.254568 | + | 0.0785237i | ||||
\(116\) | −2.95757 | + | 0.445783i | −0.274604 | + | 0.0413899i | ||||
\(117\) | −0.0611361 | + | 0.0567260i | −0.00565203 | + | 0.00524432i | ||||
\(118\) | −7.16165 | − | 3.44887i | −0.659283 | − | 0.317494i | ||||
\(119\) | 1.94299 | + | 0.292859i | 0.178114 | + | 0.0268463i | ||||
\(120\) | −1.03960 | + | 0.708790i | −0.0949025 | + | 0.0647034i | ||||
\(121\) | 4.86216 | + | 6.09695i | 0.442014 | + | 0.554268i | ||||
\(122\) | −4.58770 | + | 7.94612i | −0.415351 | + | 0.719408i | ||||
\(123\) | 4.15558 | + | 7.19768i | 0.374696 | + | 0.648993i | ||||
\(124\) | 0.313175 | − | 0.797957i | 0.0281240 | − | 0.0716587i | ||||
\(125\) | 3.42081 | − | 1.64738i | 0.305967 | − | 0.147346i | ||||
\(126\) | −0.369176 | + | 0.113876i | −0.0328888 | + | 0.0101449i | ||||
\(127\) | 0.749226 | + | 3.28258i | 0.0664831 | + | 0.291281i | 0.997230 | − | 0.0743833i | \(-0.0236988\pi\) |
−0.930747 | + | 0.365665i | \(0.880842\pi\) | |||||||
\(128\) | −12.8395 | −1.13486 | ||||||||
\(129\) | −8.27397 | − | 7.59843i | −0.728482 | − | 0.669005i | ||||
\(130\) | 0.835583 | 0.0732855 | ||||||||
\(131\) | 0.342281 | + | 1.49963i | 0.0299053 | + | 0.131024i | 0.987677 | − | 0.156506i | \(-0.0500231\pi\) |
−0.957772 | + | 0.287530i | \(0.907166\pi\) | |||||||
\(132\) | −6.21983 | + | 1.91856i | −0.541367 | + | 0.166989i | ||||
\(133\) | −24.0060 | + | 11.5607i | −2.08159 | + | 1.00244i | ||||
\(134\) | −8.12927 | + | 20.7130i | −0.702262 | + | 1.78933i | ||||
\(135\) | −1.01191 | − | 1.75267i | −0.0870909 | − | 0.150846i | ||||
\(136\) | −0.536214 | + | 0.928750i | −0.0459800 | + | 0.0796397i | ||||
\(137\) | −1.98722 | − | 2.49190i | −0.169780 | − | 0.212897i | 0.689661 | − | 0.724132i | \(-0.257760\pi\) |
−0.859441 | + | 0.511235i | \(0.829188\pi\) | |||||||
\(138\) | 17.7943 | − | 12.1319i | 1.51475 | − | 1.03274i | ||||
\(139\) | 19.8520 | + | 2.99220i | 1.68382 | + | 0.253795i | 0.920081 | − | 0.391727i | \(-0.128122\pi\) |
0.763741 | + | 0.645523i | \(0.223360\pi\) | |||||||
\(140\) | 1.06252 | + | 0.511681i | 0.0897991 | + | 0.0432450i | ||||
\(141\) | −5.48929 | + | 5.09332i | −0.462282 | + | 0.428935i | ||||
\(142\) | 12.7990 | − | 1.92914i | 1.07407 | − | 0.161890i | ||||
\(143\) | −5.29632 | − | 1.63370i | −0.442900 | − | 0.136617i | ||||
\(144\) | 0.0243023 | − | 0.324291i | 0.00202519 | − | 0.0270243i | ||||
\(145\) | 0.820149 | − | 1.02843i | 0.0681097 | − | 0.0854069i | ||||
\(146\) | −1.28644 | − | 3.27778i | −0.106466 | − | 0.271271i | ||||
\(147\) | 6.52017 | + | 6.04984i | 0.537775 | + | 0.498982i | ||||
\(148\) | 3.18296 | + | 2.17010i | 0.261637 | + | 0.178381i | ||||
\(149\) | −0.944726 | − | 12.6065i | −0.0773949 | − | 1.03276i | −0.891789 | − | 0.452451i | \(-0.850550\pi\) |
0.814394 | − | 0.580312i | \(-0.197069\pi\) | |||||||
\(150\) | 3.13653 | − | 13.7420i | 0.256097 | − | 1.12203i | ||||
\(151\) | −0.223758 | + | 0.980350i | −0.0182092 | + | 0.0797798i | −0.983216 | − | 0.182445i | \(-0.941599\pi\) |
0.965007 | + | 0.262224i | \(0.0844561\pi\) | |||||||
\(152\) | −1.08674 | − | 14.5015i | −0.0881462 | − | 1.17623i | ||||
\(153\) | −0.0303339 | − | 0.0206813i | −0.00245235 | − | 0.00167198i | ||||
\(154\) | −18.8214 | − | 17.4637i | −1.51667 | − | 1.40726i | ||||
\(155\) | 0.137733 | + | 0.350937i | 0.0110630 | + | 0.0281880i | ||||
\(156\) | 1.19656 | − | 1.50044i | 0.0958017 | − | 0.120132i | ||||
\(157\) | 0.355966 | − | 4.75004i | 0.0284092 | − | 0.379095i | −0.964819 | − | 0.262915i | \(-0.915316\pi\) |
0.993228 | − | 0.116180i | \(-0.0370648\pi\) | |||||||
\(158\) | 13.4264 | + | 4.14149i | 1.06815 | + | 0.329479i | ||||
\(159\) | 16.3825 | − | 2.46927i | 1.29922 | − | 0.195826i | ||||
\(160\) | −1.31162 | + | 1.21700i | −0.103692 | + | 0.0962125i | ||||
\(161\) | 23.3194 | + | 11.2300i | 1.83783 | + | 0.885050i | ||||
\(162\) | −14.7579 | − | 2.22440i | −1.15949 | − | 0.174765i | ||||
\(163\) | −7.84688 | + | 5.34991i | −0.614615 | + | 0.419037i | −0.830214 | − | 0.557445i | \(-0.811782\pi\) |
0.215599 | + | 0.976482i | \(0.430829\pi\) | |||||||
\(164\) | 2.65078 | + | 3.32397i | 0.206991 | + | 0.259559i | ||||
\(165\) | 1.43131 | − | 2.47911i | 0.111428 | − | 0.192998i | ||||
\(166\) | −9.87862 | − | 17.1103i | −0.766730 | − | 1.32802i | ||||
\(167\) | −8.26817 | + | 21.0670i | −0.639810 | + | 1.63021i | 0.129684 | + | 0.991555i | \(0.458604\pi\) |
−0.769494 | + | 0.638654i | \(0.779491\pi\) | |||||||
\(168\) | −10.2705 | + | 4.94601i | −0.792386 | + | 0.381593i | ||||
\(169\) | −10.8609 | + | 3.35013i | −0.835451 | + | 0.257702i | ||||
\(170\) | 0.0818503 | + | 0.358610i | 0.00627763 | + | 0.0275041i | ||||
\(171\) | 0.497834 | 0.0380703 | ||||||||
\(172\) | −4.76454 | − | 3.21269i | −0.363293 | − | 0.244966i | ||||
\(173\) | 9.30235 | 0.707245 | 0.353622 | − | 0.935388i | \(-0.384950\pi\) | ||||
0.353622 | + | 0.935388i | \(0.384950\pi\) | |||||||
\(174\) | −2.20659 | − | 9.66770i | −0.167281 | − | 0.732906i | ||||
\(175\) | 16.1873 | − | 4.99312i | 1.22365 | − | 0.377445i | ||||
\(176\) | 19.4719 | − | 9.37718i | 1.46775 | − | 0.706831i | ||||
\(177\) | 2.93338 | − | 7.47413i | 0.220486 | − | 0.561790i | ||||
\(178\) | 2.31319 | + | 4.00657i | 0.173381 | + | 0.300305i | ||||
\(179\) | −3.61481 | + | 6.26104i | −0.270184 | + | 0.467972i | −0.968909 | − | 0.247418i | \(-0.920418\pi\) |
0.698725 | + | 0.715390i | \(0.253751\pi\) | |||||||
\(180\) | −0.0137382 | − | 0.0172271i | −0.00102398 | − | 0.00128403i | ||||
\(181\) | −15.5329 | + | 10.5902i | −1.15455 | + | 0.787162i | −0.980295 | − | 0.197538i | \(-0.936705\pi\) |
−0.174259 | + | 0.984700i | \(0.555753\pi\) | |||||||
\(182\) | 7.48567 | + | 1.12828i | 0.554875 | + | 0.0836339i | ||||
\(183\) | −8.35028 | − | 4.02129i | −0.617271 | − | 0.297262i | ||||
\(184\) | −10.3553 | + | 9.60828i | −0.763400 | + | 0.708332i | ||||
\(185\) | −1.67532 | + | 0.252513i | −0.123172 | + | 0.0185652i | ||||
\(186\) | 2.71575 | + | 0.837698i | 0.199128 | + | 0.0614230i | ||||
\(187\) | 0.182333 | − | 2.43307i | 0.0133335 | − | 0.177924i | ||||
\(188\) | −2.38833 | + | 2.99487i | −0.174187 | + | 0.218423i | ||||
\(189\) | −6.69865 | − | 17.0679i | −0.487255 | − | 1.24151i | ||||
\(190\) | −3.65634 | − | 3.39258i | −0.265258 | − | 0.246124i | ||||
\(191\) | −5.81055 | − | 3.96157i | −0.420437 | − | 0.286649i | 0.334564 | − | 0.942373i | \(-0.391411\pi\) |
−0.755001 | + | 0.655724i | \(0.772363\pi\) | |||||||
\(192\) | −0.268309 | − | 3.58034i | −0.0193636 | − | 0.258389i | ||||
\(193\) | 0.916048 | − | 4.01347i | 0.0659385 | − | 0.288896i | −0.931198 | − | 0.364513i | \(-0.881236\pi\) |
0.997137 | + | 0.0756172i | \(0.0240927\pi\) | |||||||
\(194\) | −0.185033 | + | 0.810682i | −0.0132846 | + | 0.0582035i | ||||
\(195\) | 0.0630742 | + | 0.841667i | 0.00451684 | + | 0.0602730i | ||||
\(196\) | 3.75935 | + | 2.56308i | 0.268525 | + | 0.183077i | ||||
\(197\) | −1.32247 | − | 1.22707i | −0.0942220 | − | 0.0874252i | 0.631656 | − | 0.775249i | \(-0.282376\pi\) |
−0.725878 | + | 0.687824i | \(0.758566\pi\) | |||||||
\(198\) | 0.175262 | + | 0.446561i | 0.0124554 | + | 0.0317357i | ||||
\(199\) | −14.1954 | + | 17.8005i | −1.00629 | + | 1.26185i | −0.0414119 | + | 0.999142i | \(0.513186\pi\) |
−0.964877 | + | 0.262704i | \(0.915386\pi\) | |||||||
\(200\) | −0.690916 | + | 9.21964i | −0.0488552 | + | 0.651927i | ||||
\(201\) | −21.4775 | − | 6.62493i | −1.51491 | − | 0.467286i | ||||
\(202\) | 3.69327 | − | 0.556671i | 0.259858 | − | 0.0391672i | ||||
\(203\) | 8.73610 | − | 8.10592i | 0.613154 | − | 0.568924i | ||||
\(204\) | 0.761160 | + | 0.366556i | 0.0532919 | + | 0.0256640i | ||||
\(205\) | −1.84891 | − | 0.278679i | −0.129134 | − | 0.0194638i | ||||
\(206\) | 7.17169 | − | 4.88957i | 0.499675 | − | 0.340673i | ||||
\(207\) | −0.301516 | − | 0.378089i | −0.0209568 | − | 0.0262790i | ||||
\(208\) | −3.18611 | + | 5.51850i | −0.220917 | + | 0.382639i | ||||
\(209\) | 16.5425 | + | 28.6525i | 1.14427 | + | 1.98194i | ||||
\(210\) | −1.42844 | + | 3.63960i | −0.0985716 | + | 0.251156i | ||||
\(211\) | 7.10545 | − | 3.42180i | 0.489159 | − | 0.235567i | −0.173011 | − | 0.984920i | \(-0.555350\pi\) |
0.662170 | + | 0.749353i | \(0.269635\pi\) | |||||||
\(212\) | 8.09852 | − | 2.49806i | 0.556209 | − | 0.171568i | ||||
\(213\) | 2.90932 | + | 12.7466i | 0.199343 | + | 0.873381i | ||||
\(214\) | 17.4262 | 1.19123 | ||||||||
\(215\) | 2.49708 | − | 0.389499i | 0.170300 | − | 0.0265636i | ||||
\(216\) | 10.0071 | 0.680897 | ||||||||
\(217\) | 0.760027 | + | 3.32990i | 0.0515940 | + | 0.226048i | ||||
\(218\) | 1.82143 | − | 0.561838i | 0.123363 | − | 0.0380524i | ||||
\(219\) | 3.20454 | − | 1.54323i | 0.216543 | − | 0.104282i | ||||
\(220\) | 0.534990 | − | 1.36313i | 0.0360690 | − | 0.0919024i | ||||
\(221\) | 0.359693 | + | 0.623007i | 0.0241956 | + | 0.0419080i | ||||
\(222\) | −6.38604 | + | 11.0610i | −0.428603 | + | 0.742363i | ||||
\(223\) | 5.36853 | + | 6.73192i | 0.359503 | + | 0.450803i | 0.928387 | − | 0.371615i | \(-0.121196\pi\) |
−0.568884 | + | 0.822418i | \(0.692625\pi\) | |||||||
\(224\) | −13.3936 | + | 9.13160i | −0.894897 | + | 0.610131i | ||||
\(225\) | −0.312973 | − | 0.0471730i | −0.0208648 | − | 0.00314487i | ||||
\(226\) | 24.4048 | + | 11.7527i | 1.62338 | + | 0.781779i | ||||
\(227\) | 5.97274 | − | 5.54190i | 0.396425 | − | 0.367829i | −0.456624 | − | 0.889660i | \(-0.650941\pi\) |
0.853049 | + | 0.521831i | \(0.174751\pi\) | |||||||
\(228\) | −11.3279 | + | 1.70741i | −0.750210 | + | 0.113076i | ||||
\(229\) | −23.6766 | − | 7.30327i | −1.56460 | − | 0.482614i | −0.613030 | − | 0.790060i | \(-0.710049\pi\) |
−0.951565 | + | 0.307446i | \(0.900526\pi\) | |||||||
\(230\) | −0.362079 | + | 4.83161i | −0.0238748 | + | 0.318587i | ||||
\(231\) | 16.1701 | − | 20.2767i | 1.06392 | − | 1.33411i | ||||
\(232\) | 2.37630 | + | 6.05470i | 0.156011 | + | 0.397511i | ||||
\(233\) | −6.32022 | − | 5.86431i | −0.414051 | − | 0.384183i | 0.445459 | − | 0.895303i | \(-0.353041\pi\) |
−0.859510 | + | 0.511119i | \(0.829231\pi\) | |||||||
\(234\) | −0.116866 | − | 0.0796778i | −0.00763976 | − | 0.00520870i | ||||
\(235\) | −0.125895 | − | 1.67996i | −0.00821251 | − | 0.109588i | ||||
\(236\) | 0.913952 | − | 4.00429i | 0.0594932 | − | 0.260657i | ||||
\(237\) | −3.15815 | + | 13.8368i | −0.205144 | + | 0.898794i | ||||
\(238\) | 0.249037 | + | 3.32317i | 0.0161427 | + | 0.215409i | ||||
\(239\) | 2.78125 | + | 1.89623i | 0.179904 | + | 0.122657i | 0.649924 | − | 0.759999i | \(-0.274801\pi\) |
−0.470020 | + | 0.882656i | \(0.655753\pi\) | |||||||
\(240\) | −2.41257 | − | 2.23854i | −0.155731 | − | 0.144497i | ||||
\(241\) | −9.87013 | − | 25.1487i | −0.635791 | − | 1.61997i | −0.776645 | − | 0.629939i | \(-0.783080\pi\) |
0.140854 | − | 0.990030i | \(-0.455015\pi\) | |||||||
\(242\) | −8.24610 | + | 10.3403i | −0.530079 | + | 0.664698i | ||||
\(243\) | −0.0506572 | + | 0.675974i | −0.00324966 | + | 0.0433637i | ||||
\(244\) | −4.53041 | − | 1.39745i | −0.290030 | − | 0.0894624i | ||||
\(245\) | −1.97870 | + | 0.298240i | −0.126414 | + | 0.0190539i | ||||
\(246\) | −10.3328 | + | 9.58739i | −0.658792 | + | 0.611270i | ||||
\(247\) | −8.78888 | − | 4.23250i | −0.559223 | − | 0.269308i | ||||
\(248\) | −1.84331 | − | 0.277835i | −0.117051 | − | 0.0176425i | ||||
\(249\) | 16.4892 | − | 11.2421i | 1.04496 | − | 0.712441i | ||||
\(250\) | 4.01484 | + | 5.03445i | 0.253921 | + | 0.318407i | ||||
\(251\) | 5.38285 | − | 9.32338i | 0.339763 | − | 0.588486i | −0.644625 | − | 0.764499i | \(-0.722987\pi\) |
0.984388 | + | 0.176012i | \(0.0563199\pi\) | |||||||
\(252\) | −0.0998134 | − | 0.172882i | −0.00628765 | − | 0.0108905i | ||||
\(253\) | 11.7416 | − | 29.9171i | 0.738188 | − | 1.88087i | ||||
\(254\) | −5.14484 | + | 2.47762i | −0.322816 | + | 0.155460i | ||||
\(255\) | −0.355042 | + | 0.109516i | −0.0222336 | + | 0.00685816i | ||||
\(256\) | −3.91277 | − | 17.1430i | −0.244548 | − | 1.07143i | ||||
\(257\) | 12.7546 | 0.795610 | 0.397805 | − | 0.917470i | \(-0.369772\pi\) | ||||
0.397805 | + | 0.917470i | \(0.369772\pi\) | |||||||
\(258\) | 9.44114 | − | 16.5482i | 0.587780 | − | 1.03025i | ||||
\(259\) | −15.3495 | −0.953772 | ||||||||
\(260\) | 0.0960749 | + | 0.420932i | 0.00595831 | + | 0.0261051i | ||||
\(261\) | −0.212775 | + | 0.0656323i | −0.0131704 | + | 0.00406254i | ||||
\(262\) | −2.35040 | + | 1.13189i | −0.145208 | + | 0.0699286i | ||||
\(263\) | −5.41921 | + | 13.8079i | −0.334163 | + | 0.851433i | 0.660742 | + | 0.750613i | \(0.270242\pi\) |
−0.994905 | + | 0.100820i | \(0.967853\pi\) | |||||||
\(264\) | 7.07739 | + | 12.2584i | 0.435583 | + | 0.754452i | ||||
\(265\) | −1.86364 | + | 3.22792i | −0.114482 | + | 0.198289i | ||||
\(266\) | −28.1747 | − | 35.3300i | −1.72750 | − | 2.16622i | ||||
\(267\) | −3.86113 | + | 2.63247i | −0.236297 | + | 0.161105i | ||||
\(268\) | −11.3691 | − | 1.71361i | −0.694476 | − | 0.104675i | ||||
\(269\) | −9.64831 | − | 4.64638i | −0.588268 | − | 0.283295i | 0.115977 | − | 0.993252i | \(-0.463000\pi\) |
−0.704245 | + | 0.709957i | \(0.748714\pi\) | |||||||
\(270\) | 2.51608 | − | 2.33458i | 0.153124 | − | 0.142078i | ||||
\(271\) | −14.3276 | + | 2.15955i | −0.870343 | + | 0.131183i | −0.569005 | − | 0.822334i | \(-0.692671\pi\) |
−0.301338 | + | 0.953517i | \(0.597433\pi\) | |||||||
\(272\) | −2.68049 | − | 0.826822i | −0.162529 | − | 0.0501335i | ||||
\(273\) | −0.571441 | + | 7.62534i | −0.0345852 | + | 0.461507i | ||||
\(274\) | 3.37028 | − | 4.22620i | 0.203606 | − | 0.255314i | ||||
\(275\) | −7.68476 | − | 19.5804i | −0.463408 | − | 1.18075i | ||||
\(276\) | 8.15754 | + | 7.56909i | 0.491026 | + | 0.455606i | ||||
\(277\) | 16.8697 | + | 11.5016i | 1.01360 | + | 0.691061i | 0.951703 | − | 0.307021i | \(-0.0993322\pi\) |
0.0618982 | + | 0.998082i | \(0.480285\pi\) | |||||||
\(278\) | 2.54447 | + | 33.9535i | 0.152607 | + | 2.03640i | ||||
\(279\) | 0.0142005 | − | 0.0622163i | 0.000850159 | − | 0.00372479i | ||||
\(280\) | 0.570670 | − | 2.50027i | 0.0341041 | − | 0.149420i | ||||
\(281\) | −0.541902 | − | 7.23118i | −0.0323272 | − | 0.431376i | −0.989762 | − | 0.142727i | \(-0.954413\pi\) |
0.957435 | − | 0.288649i | \(-0.0932061\pi\) | |||||||
\(282\) | −10.4932 | − | 7.15412i | −0.624859 | − | 0.426022i | ||||
\(283\) | 22.3431 | + | 20.7313i | 1.32816 | + | 1.23235i | 0.952113 | + | 0.305748i | \(0.0989065\pi\) |
0.376044 | + | 0.926602i | \(0.377284\pi\) | |||||||
\(284\) | 2.44344 | + | 6.22579i | 0.144992 | + | 0.369433i | ||||
\(285\) | 3.14129 | − | 3.93905i | 0.186074 | − | 0.233329i | ||||
\(286\) | 0.702466 | − | 9.37376i | 0.0415377 | − | 0.554282i | ||||
\(287\) | −16.1874 | − | 4.99316i | −0.955513 | − | 0.294737i | ||||
\(288\) | 0.299493 | − | 0.0451413i | 0.0176478 | − | 0.00265998i | ||||
\(289\) | 12.2297 | − | 11.3475i | 0.719396 | − | 0.667502i | ||||
\(290\) | 2.00999 | + | 0.967958i | 0.118030 | + | 0.0568405i | ||||
\(291\) | −0.830552 | − | 0.125186i | −0.0486878 | − | 0.00733850i | ||||
\(292\) | 1.50330 | − | 1.02493i | 0.0879738 | − | 0.0599795i | ||||
\(293\) | 16.0151 | + | 20.0823i | 0.935611 | + | 1.17322i | 0.984671 | + | 0.174424i | \(0.0558063\pi\) |
−0.0490592 | + | 0.998796i | \(0.515622\pi\) | |||||||
\(294\) | −7.54248 | + | 13.0640i | −0.439886 | + | 0.761905i | ||||
\(295\) | 0.903177 | + | 1.56435i | 0.0525850 | + | 0.0910799i | ||||
\(296\) | 3.06064 | − | 7.79837i | 0.177896 | − | 0.453271i | ||||
\(297\) | −20.5126 | + | 9.87833i | −1.19026 | + | 0.573199i | ||||
\(298\) | 20.4877 | − | 6.31962i | 1.18682 | − | 0.366086i | ||||
\(299\) | 2.10859 | + | 9.23832i | 0.121943 | + | 0.534266i | ||||
\(300\) | 7.28330 | 0.420501 | ||||||||
\(301\) | 22.8964 | − | 0.117571i | 1.31973 | − | 0.00677671i | ||||
\(302\) | −1.70541 | −0.0981352 | ||||||||
\(303\) | 0.839512 | + | 3.67814i | 0.0482287 | + | 0.211304i | ||||
\(304\) | 36.3476 | − | 11.2118i | 2.08468 | − | 0.643038i | ||||
\(305\) | 1.87860 | − | 0.904685i | 0.107568 | − | 0.0518021i | ||||
\(306\) | 0.0227479 | − | 0.0579606i | 0.00130041 | − | 0.00331339i | ||||
\(307\) | −7.92491 | − | 13.7263i | −0.452298 | − | 0.783404i | 0.546230 | − | 0.837635i | \(-0.316062\pi\) |
−0.998528 | + | 0.0542314i | \(0.982729\pi\) | |||||||
\(308\) | 6.63340 | − | 11.4894i | 0.377973 | − | 0.654669i | ||||
\(309\) | 5.46653 | + | 6.85481i | 0.310980 | + | 0.389957i | ||||
\(310\) | −0.528280 | + | 0.360175i | −0.0300043 | + | 0.0204566i | ||||
\(311\) | −26.7139 | − | 4.02647i | −1.51481 | − | 0.228320i | −0.661585 | − | 0.749870i | \(-0.730116\pi\) |
−0.853221 | + | 0.521550i | \(0.825354\pi\) | |||||||
\(312\) | −3.76014 | − | 1.81079i | −0.212876 | − | 0.102516i | ||||
\(313\) | −14.1284 | + | 13.1093i | −0.798586 | + | 0.740979i | −0.969707 | − | 0.244271i | \(-0.921452\pi\) |
0.171121 | + | 0.985250i | \(0.445261\pi\) | |||||||
\(314\) | 7.98831 | − | 1.20404i | 0.450807 | − | 0.0679481i | ||||
\(315\) | 0.0838943 | + | 0.0258780i | 0.00472691 | + | 0.00145806i | ||||
\(316\) | −0.542550 | + | 7.23983i | −0.0305208 | + | 0.407272i | ||||
\(317\) | −8.01912 | + | 10.0557i | −0.450399 | + | 0.564782i | −0.954251 | − | 0.299008i | \(-0.903344\pi\) |
0.503852 | + | 0.863790i | \(0.331916\pi\) | |||||||
\(318\) | 10.2654 | + | 26.1559i | 0.575657 | + | 1.46675i | ||||
\(319\) | −10.8477 | − | 10.0652i | −0.607356 | − | 0.563544i | ||||
\(320\) | 0.667388 | + | 0.455018i | 0.0373081 | + | 0.0254363i | ||||
\(321\) | 1.31542 | + | 17.5530i | 0.0734195 | + | 0.979715i | ||||
\(322\) | −9.76783 | + | 42.7956i | −0.544340 | + | 2.38491i | ||||
\(323\) | 0.955553 | − | 4.18655i | 0.0531684 | − | 0.232946i | ||||
\(324\) | −0.576300 | − | 7.69019i | −0.0320167 | − | 0.427233i | ||||
\(325\) | 5.12424 | + | 3.49365i | 0.284242 | + | 0.193793i | ||||
\(326\) | −11.8072 | − | 10.9554i | −0.653938 | − | 0.606766i | ||||
\(327\) | 0.703420 | + | 1.79228i | 0.0388992 | + | 0.0991135i | ||||
\(328\) | 5.76451 | − | 7.22846i | 0.318292 | − | 0.399125i | ||||
\(329\) | 1.14059 | − | 15.2201i | 0.0628827 | − | 0.839111i | ||||
\(330\) | 4.63925 | + | 1.43102i | 0.255382 | + | 0.0787750i | ||||
\(331\) | 2.51633 | − | 0.379275i | 0.138310 | − | 0.0208469i | −0.0795224 | − | 0.996833i | \(-0.525340\pi\) |
0.217832 | + | 0.975986i | \(0.430101\pi\) | |||||||
\(332\) | 7.48360 | − | 6.94377i | 0.410716 | − | 0.381089i | ||||
\(333\) | 0.258391 | + | 0.124435i | 0.0141597 | + | 0.00681897i | ||||
\(334\) | −37.9536 | − | 5.72058i | −2.07673 | − | 0.313016i | ||||
\(335\) | 4.17790 | − | 2.84844i | 0.228263 | − | 0.155627i | ||||
\(336\) | −18.5906 | − | 23.3119i | −1.01420 | − | 1.27177i | ||||
\(337\) | −0.368739 | + | 0.638675i | −0.0200865 | + | 0.0347908i | −0.875894 | − | 0.482504i | \(-0.839727\pi\) |
0.855807 | + | 0.517295i | \(0.173061\pi\) | |||||||
\(338\) | −9.63807 | − | 16.6936i | −0.524242 | − | 0.908014i | ||||
\(339\) | −9.99609 | + | 25.4696i | −0.542913 | + | 1.38332i | ||||
\(340\) | −0.171241 | + | 0.0824655i | −0.00928687 | + | 0.00447232i | ||||
\(341\) | 4.05269 | − | 1.25009i | 0.219465 | − | 0.0676961i | ||||
\(342\) | 0.187878 | + | 0.823145i | 0.0101593 | + | 0.0445106i | ||||
\(343\) | 6.31287 | 0.340863 | ||||||||
\(344\) | −4.50572 | + | 11.6560i | −0.242932 | + | 0.628451i | ||||
\(345\) | −4.89412 | −0.263491 | ||||||||
\(346\) | 3.51062 | + | 15.3810i | 0.188732 | + | 0.826888i | ||||
\(347\) | −5.00949 | + | 1.54522i | −0.268923 | + | 0.0829519i | −0.426284 | − | 0.904589i | \(-0.640178\pi\) |
0.157361 | + | 0.987541i | \(0.449701\pi\) | |||||||
\(348\) | 4.61647 | − | 2.22317i | 0.247469 | − | 0.119175i | ||||
\(349\) | 3.64385 | − | 9.28439i | 0.195051 | − | 0.496982i | −0.799569 | − | 0.600575i | \(-0.794939\pi\) |
0.994620 | + | 0.103593i | \(0.0330338\pi\) | |||||||
\(350\) | 14.3648 | + | 24.8806i | 0.767832 | + | 1.32992i | ||||
\(351\) | 3.35638 | − | 5.81343i | 0.179151 | − | 0.310298i | ||||
\(352\) | 12.5499 | + | 15.7371i | 0.668914 | + | 0.838792i | ||||
\(353\) | 20.6981 | − | 14.1117i | 1.10165 | − | 0.751090i | 0.130948 | − | 0.991389i | \(-0.458198\pi\) |
0.970699 | + | 0.240299i | \(0.0772454\pi\) | |||||||
\(354\) | 13.4652 | + | 2.02955i | 0.715665 | + | 0.107869i | ||||
\(355\) | −2.65011 | − | 1.27622i | −0.140653 | − | 0.0677349i | ||||
\(356\) | −1.75237 | + | 1.62596i | −0.0928756 | + | 0.0861759i | ||||
\(357\) | −3.32857 | + | 0.501701i | −0.176167 | + | 0.0265528i | ||||
\(358\) | −11.7165 | − | 3.61407i | −0.619238 | − | 0.191010i | ||||
\(359\) | 1.02841 | − | 13.7231i | 0.0542772 | − | 0.724279i | −0.901985 | − | 0.431768i | \(-0.857890\pi\) |
0.956262 | − | 0.292511i | \(-0.0944910\pi\) | |||||||
\(360\) | −0.0298756 | + | 0.0374629i | −0.00157458 | + | 0.00197447i | ||||
\(361\) | 14.3323 | + | 36.5180i | 0.754330 | + | 1.92200i | ||||
\(362\) | −23.3723 | − | 21.6864i | −1.22842 | − | 1.13981i | ||||
\(363\) | −11.0380 | − | 7.52560i | −0.579346 | − | 0.394992i | ||||
\(364\) | 0.292317 | + | 3.90070i | 0.0153216 | + | 0.204452i | ||||
\(365\) | −0.178057 | + | 0.780120i | −0.00931995 | + | 0.0408334i | ||||
\(366\) | 3.49769 | − | 15.3244i | 0.182827 | − | 0.801019i | ||||
\(367\) | −2.05378 | − | 27.4058i | −0.107206 | − | 1.43057i | −0.748429 | − | 0.663215i | \(-0.769191\pi\) |
0.641222 | − | 0.767355i | \(-0.278428\pi\) | |||||||
\(368\) | −30.5291 | − | 20.8144i | −1.59144 | − | 1.08503i | ||||
\(369\) | 0.232018 | + | 0.215281i | 0.0120784 | + | 0.0112071i | ||||
\(370\) | −1.04977 | − | 2.67476i | −0.0545748 | − | 0.139054i | ||||
\(371\) | −21.0543 | + | 26.4012i | −1.09308 | + | 1.37068i | ||||
\(372\) | −0.109741 | + | 1.46440i | −0.00568983 | + | 0.0759255i | ||||
\(373\) | 15.0169 | + | 4.63210i | 0.777545 | + | 0.239841i | 0.658030 | − | 0.752992i | \(-0.271390\pi\) |
0.119515 | + | 0.992832i | \(0.461866\pi\) | |||||||
\(374\) | 4.09178 | − | 0.616736i | 0.211581 | − | 0.0318907i | ||||
\(375\) | −4.76805 | + | 4.42410i | −0.246221 | + | 0.228460i | ||||
\(376\) | 7.50520 | + | 3.61431i | 0.387051 | + | 0.186394i | ||||
\(377\) | 4.31437 | + | 0.650287i | 0.222201 | + | 0.0334915i | ||||
\(378\) | 25.6930 | − | 17.5172i | 1.32150 | − | 0.900986i | ||||
\(379\) | −16.0442 | − | 20.1188i | −0.824136 | − | 1.03343i | −0.998808 | − | 0.0488070i | \(-0.984458\pi\) |
0.174672 | − | 0.984627i | \(-0.444113\pi\) | |||||||
\(380\) | 1.28864 | − | 2.23199i | 0.0661057 | − | 0.114498i | ||||
\(381\) | −2.88402 | − | 4.99527i | −0.147753 | − | 0.255916i | ||||
\(382\) | 4.35743 | − | 11.1025i | 0.222945 | − | 0.568055i | ||||
\(383\) | 16.2586 | − | 7.82975i | 0.830777 | − | 0.400081i | 0.0303708 | − | 0.999539i | \(-0.490331\pi\) |
0.800407 | + | 0.599457i | \(0.204617\pi\) | |||||||
\(384\) | 21.0183 | − | 6.48329i | 1.07259 | − | 0.330849i | ||||
\(385\) | 1.29834 | + | 5.68838i | 0.0661694 | + | 0.289907i | ||||
\(386\) | 6.98179 | 0.355364 | ||||||||
\(387\) | −0.386387 | − | 0.183636i | −0.0196412 | − | 0.00933474i | ||||
\(388\) | −0.429662 | −0.0218128 | ||||||||
\(389\) | 5.62992 | + | 24.6663i | 0.285448 | + | 1.25063i | 0.890698 | + | 0.454596i | \(0.150216\pi\) |
−0.605249 | + | 0.796036i | \(0.706927\pi\) | |||||||
\(390\) | −1.36785 | + | 0.421927i | −0.0692640 | + | 0.0213651i | ||||
\(391\) | −3.75829 | + | 1.80990i | −0.190065 | + | 0.0915304i | ||||
\(392\) | 3.61488 | − | 9.21056i | 0.182579 | − | 0.465204i | ||||
\(393\) | −1.31756 | − | 2.28207i | −0.0664619 | − | 0.115115i | ||||
\(394\) | 1.52982 | − | 2.64973i | 0.0770712 | − | 0.133491i | ||||
\(395\) | −1.99078 | − | 2.49636i | −0.100167 | − | 0.125606i | ||||
\(396\) | −0.204807 | + | 0.139635i | −0.0102920 | + | 0.00701694i | ||||
\(397\) | −2.61362 | − | 0.393940i | −0.131174 | − | 0.0197713i | 0.0831270 | − | 0.996539i | \(-0.473509\pi\) |
−0.214301 | + | 0.976768i | \(0.568747\pi\) | |||||||
\(398\) | −34.7896 | − | 16.7538i | −1.74384 | − | 0.839791i | ||||
\(399\) | 33.4605 | − | 31.0468i | 1.67512 | − | 1.55428i | ||||
\(400\) | −23.9130 | + | 3.60431i | −1.19565 | + | 0.180215i | ||||
\(401\) | 28.1025 | + | 8.66848i | 1.40337 | + | 0.432883i | 0.901771 | − | 0.432215i | \(-0.142268\pi\) |
0.501603 | + | 0.865098i | \(0.332744\pi\) | |||||||
\(402\) | 2.84862 | − | 38.0122i | 0.142076 | − | 1.89588i | ||||
\(403\) | −0.779651 | + | 0.977651i | −0.0388372 | + | 0.0487003i | ||||
\(404\) | 0.705078 | + | 1.79651i | 0.0350789 | + | 0.0893797i | ||||
\(405\) | 2.48621 | + | 2.30686i | 0.123541 | + | 0.114629i | ||||
\(406\) | 16.6997 | + | 11.3856i | 0.828791 | + | 0.565060i | ||||
\(407\) | 1.42433 | + | 19.0064i | 0.0706014 | + | 0.942111i | ||||
\(408\) | 0.408814 | − | 1.79113i | 0.0202393 | − | 0.0886742i | ||||
\(409\) | 0.0843680 | − | 0.369640i | 0.00417173 | − | 0.0182775i | −0.972799 | − | 0.231650i | \(-0.925588\pi\) |
0.976971 | + | 0.213372i | \(0.0684448\pi\) | |||||||
\(410\) | −0.236979 | − | 3.16226i | −0.0117035 | − | 0.156173i | ||||
\(411\) | 4.51138 | + | 3.07581i | 0.222530 | + | 0.151718i | ||||
\(412\) | 3.28776 | + | 3.05059i | 0.161976 | + | 0.150292i | ||||
\(413\) | 5.97889 | + | 15.2340i | 0.294202 | + | 0.749614i | ||||
\(414\) | 0.511364 | − | 0.641230i | 0.0251322 | − | 0.0315147i | ||||
\(415\) | −0.335522 | + | 4.47723i | −0.0164701 | + | 0.219779i | ||||
\(416\) | −5.67111 | − | 1.74931i | −0.278049 | − | 0.0857668i | ||||
\(417\) | −34.0087 | + | 5.12599i | −1.66541 | + | 0.251021i | ||||
\(418\) | −41.1326 | + | 38.1655i | −2.01186 | + | 1.86673i | ||||
\(419\) | −14.9002 | − | 7.17556i | −0.727922 | − | 0.350549i | 0.0329444 | − | 0.999457i | \(-0.489512\pi\) |
−0.760867 | + | 0.648908i | \(0.775226\pi\) | |||||||
\(420\) | −1.99772 | − | 0.301108i | −0.0974787 | − | 0.0146926i | ||||
\(421\) | −7.57559 | + | 5.16495i | −0.369212 | + | 0.251724i | −0.733685 | − | 0.679489i | \(-0.762201\pi\) |
0.364473 | + | 0.931214i | \(0.381249\pi\) | |||||||
\(422\) | 8.33932 | + | 10.4572i | 0.405952 | + | 0.509047i | ||||
\(423\) | −0.142586 | + | 0.246966i | −0.00693277 | + | 0.0120079i | ||||
\(424\) | −9.21510 | − | 15.9610i | −0.447525 | − | 0.775136i | ||||
\(425\) | −0.997429 | + | 2.54141i | −0.0483824 | + | 0.123276i | ||||
\(426\) | −19.9779 | + | 9.62086i | −0.967933 | + | 0.466132i | ||||
\(427\) | 18.0512 | − | 5.56807i | 0.873561 | − | 0.269458i | ||||
\(428\) | 2.00365 | + | 8.77857i | 0.0968501 | + | 0.424328i | ||||
\(429\) | 9.49503 | 0.458425 | ||||||||
\(430\) | 1.58639 | + | 3.98182i | 0.0765027 | + | 0.192020i | ||||
\(431\) | 9.52715 | 0.458907 | 0.229453 | − | 0.973320i | \(-0.426306\pi\) | ||||
0.229453 | + | 0.973320i | \(0.426306\pi\) | |||||||
\(432\) | 5.82453 | + | 25.5190i | 0.280233 | + | 1.22778i | ||||
\(433\) | −27.5381 | + | 8.49437i | −1.32339 | + | 0.408213i | −0.874350 | − | 0.485296i | \(-0.838712\pi\) |
−0.449045 | + | 0.893509i | \(0.648236\pi\) | |||||||
\(434\) | −5.21900 | + | 2.51334i | −0.250520 | + | 0.120644i | ||||
\(435\) | −0.823282 | + | 2.09769i | −0.0394733 | + | 0.100576i | ||||
\(436\) | 0.492458 | + | 0.852961i | 0.0235844 | + | 0.0408494i | ||||
\(437\) | 28.2821 | − | 48.9861i | 1.35292 | − | 2.34332i | ||||
\(438\) | 3.76102 | + | 4.71617i | 0.179708 | + | 0.225347i | ||||
\(439\) | −5.56118 | + | 3.79155i | −0.265421 | + | 0.180961i | −0.688716 | − | 0.725031i | \(-0.741825\pi\) |
0.423296 | + | 0.905992i | \(0.360873\pi\) | |||||||
\(440\) | −3.14889 | − | 0.474619i | −0.150117 | − | 0.0226266i | ||||
\(441\) | 0.305182 | + | 0.146968i | 0.0145325 | + | 0.00699848i | ||||
\(442\) | −0.894368 | + | 0.829852i | −0.0425408 | + | 0.0394720i | ||||
\(443\) | −3.28651 | + | 0.495362i | −0.156147 | + | 0.0235354i | −0.226650 | − | 0.973976i | \(-0.572778\pi\) |
0.0705035 | + | 0.997512i | \(0.477539\pi\) | |||||||
\(444\) | −6.30631 | − | 1.94524i | −0.299284 | − | 0.0923169i | ||||
\(445\) | 0.0785665 | − | 1.04840i | 0.00372441 | − | 0.0496988i | ||||
\(446\) | −9.10489 | + | 11.4172i | −0.431129 | + | 0.540619i | ||||
\(447\) | 7.91216 | + | 20.1598i | 0.374232 | + | 0.953528i | ||||
\(448\) | 5.36447 | + | 4.97750i | 0.253447 | + | 0.235165i | ||||
\(449\) | −3.54373 | − | 2.41607i | −0.167239 | − | 0.114022i | 0.476808 | − | 0.879007i | \(-0.341794\pi\) |
−0.644047 | + | 0.764986i | \(0.722746\pi\) | |||||||
\(450\) | −0.0401143 | − | 0.535288i | −0.00189101 | − | 0.0252337i | ||||
\(451\) | −4.68064 | + | 20.5072i | −0.220403 | + | 0.965648i | ||||
\(452\) | −3.11448 | + | 13.6454i | −0.146493 | + | 0.641827i | ||||
\(453\) | −0.128733 | − | 1.71782i | −0.00604841 | − | 0.0807105i | ||||
\(454\) | 11.4173 | + | 7.78420i | 0.535841 | + | 0.365331i | ||||
\(455\) | −1.26108 | − | 1.17011i | −0.0591204 | − | 0.0548557i | ||||
\(456\) | 9.10154 | + | 23.1903i | 0.426219 | + | 1.08599i | ||||
\(457\) | −1.37989 | + | 1.73032i | −0.0645484 | + | 0.0809412i | −0.813058 | − | 0.582183i | \(-0.802199\pi\) |
0.748509 | + | 0.663125i | \(0.230770\pi\) | |||||||
\(458\) | 3.14030 | − | 41.9044i | 0.146737 | − | 1.95806i | ||||
\(459\) | 2.82375 | + | 0.871010i | 0.131801 | + | 0.0406553i | ||||
\(460\) | −2.47559 | + | 0.373136i | −0.115425 | + | 0.0173975i | ||||
\(461\) | −11.1729 | + | 10.3670i | −0.520375 | + | 0.482837i | −0.896074 | − | 0.443904i | \(-0.853593\pi\) |
0.375699 | + | 0.926742i | \(0.377403\pi\) | |||||||
\(462\) | 39.6290 | + | 19.0843i | 1.84371 | + | 0.887883i | ||||
\(463\) | 10.6302 | + | 1.60224i | 0.494027 | + | 0.0744626i | 0.391331 | − | 0.920250i | \(-0.372015\pi\) |
0.102697 | + | 0.994713i | \(0.467253\pi\) | |||||||
\(464\) | −14.0569 | + | 9.58384i | −0.652576 | + | 0.444918i | ||||
\(465\) | −0.402675 | − | 0.504938i | −0.0186736 | − | 0.0234160i | ||||
\(466\) | 7.31117 | − | 12.6633i | 0.338683 | − | 0.586617i | ||||
\(467\) | 7.41391 | + | 12.8413i | 0.343075 | + | 0.594223i | 0.985002 | − | 0.172543i | \(-0.0551982\pi\) |
−0.641927 | + | 0.766766i | \(0.721865\pi\) | |||||||
\(468\) | 0.0267012 | − | 0.0680335i | 0.00123426 | − | 0.00314485i | ||||
\(469\) | 41.2745 | − | 19.8767i | 1.90588 | − | 0.917822i | ||||
\(470\) | 2.73022 | − | 0.842161i | 0.125936 | − | 0.0388460i | ||||
\(471\) | 1.81581 | + | 7.95559i | 0.0836682 | + | 0.366574i | ||||
\(472\) | −8.93184 | −0.411121 | ||||||||
\(473\) | −2.27021 | − | 28.3403i | −0.104384 | − | 1.30309i | ||||
\(474\) | −24.0703 | −1.10559 | ||||||||
\(475\) | −8.23789 | − | 36.0926i | −0.377981 | − | 1.65604i | ||||
\(476\) | −1.64544 | + | 0.507551i | −0.0754186 | + | 0.0232636i | ||||
\(477\) | 0.568453 | − | 0.273752i | 0.0260277 | − | 0.0125343i | ||||
\(478\) | −2.08571 | + | 5.31429i | −0.0953980 | + | 0.243070i | ||||
\(479\) | 17.1592 | + | 29.7205i | 0.784022 | + | 1.35797i | 0.929581 | + | 0.368617i | \(0.120169\pi\) |
−0.145559 | + | 0.989350i | \(0.546498\pi\) | |||||||
\(480\) | 1.53260 | − | 2.65454i | 0.0699533 | − | 0.121163i | ||||
\(481\) | −3.50378 | − | 4.39360i | −0.159758 | − | 0.200331i | ||||
\(482\) | 37.8573 | − | 25.8107i | 1.72435 | − | 1.17564i | ||||
\(483\) | −43.8446 | − | 6.60851i | −1.99500 | − | 0.300697i | ||||
\(484\) | −6.15713 | − | 2.96512i | −0.279870 | − | 0.134778i | ||||
\(485\) | 0.138520 | − | 0.128528i | 0.00628986 | − | 0.00583614i | ||||
\(486\) | −1.13681 | + | 0.171346i | −0.0515667 | + | 0.00777243i | ||||
\(487\) | −6.21312 | − | 1.91649i | −0.281543 | − | 0.0868446i | 0.150768 | − | 0.988569i | \(-0.451825\pi\) |
−0.432311 | + | 0.901725i | \(0.642302\pi\) | |||||||
\(488\) | −0.770474 | + | 10.2813i | −0.0348777 | + | 0.465411i | ||||
\(489\) | 10.1439 | − | 12.7201i | 0.458725 | − | 0.575223i | ||||
\(490\) | −1.23987 | − | 3.15913i | −0.0560115 | − | 0.142715i | ||||
\(491\) | 5.97382 | + | 5.54289i | 0.269595 | + | 0.250147i | 0.803372 | − | 0.595478i | \(-0.203037\pi\) |
−0.533777 | + | 0.845625i | \(0.679228\pi\) | |||||||
\(492\) | −6.01778 | − | 4.10285i | −0.271302 | − | 0.184971i | ||||
\(493\) | 0.143533 | + | 1.91531i | 0.00646439 | + | 0.0862613i | ||||
\(494\) | 3.68141 | − | 16.1293i | 0.165634 | − | 0.725692i | ||||
\(495\) | 0.0242583 | − | 0.106283i | 0.00109033 | − | 0.00477705i | ||||
\(496\) | −0.364380 | − | 4.86232i | −0.0163612 | − | 0.218325i | ||||
\(497\) | −22.0180 | − | 15.0116i | −0.987643 | − | 0.673364i | ||||
\(498\) | 24.8112 | + | 23.0214i | 1.11182 | + | 1.03161i | ||||
\(499\) | 2.88373 | + | 7.34763i | 0.129094 | + | 0.328925i | 0.980777 | − | 0.195131i | \(-0.0625133\pi\) |
−0.851684 | + | 0.524056i | \(0.824418\pi\) | |||||||
\(500\) | −2.07452 | + | 2.60137i | −0.0927754 | + | 0.116337i | ||||
\(501\) | 2.89730 | − | 38.6617i | 0.129442 | − | 1.72728i | ||||
\(502\) | 17.4472 | + | 5.38175i | 0.778707 | + | 0.240199i | ||||
\(503\) | −24.2178 | + | 3.65024i | −1.07982 | + | 0.162756i | −0.664773 | − | 0.747045i | \(-0.731472\pi\) |
−0.415044 | + | 0.909801i | \(0.636234\pi\) | |||||||
\(504\) | −0.318231 | + | 0.295275i | −0.0141751 | + | 0.0131526i | ||||
\(505\) | −0.764713 | − | 0.368266i | −0.0340293 | − | 0.0163876i | ||||
\(506\) | 53.8977 | + | 8.12377i | 2.39604 | + | 0.361146i | ||||
\(507\) | 16.0876 | − | 10.9684i | 0.714477 | − | 0.487122i | ||||
\(508\) | −1.83967 | − | 2.30688i | −0.0816223 | − | 0.102351i | ||||
\(509\) | −15.1556 | + | 26.2503i | −0.671760 | + | 1.16352i | 0.305645 | + | 0.952146i | \(0.401128\pi\) |
−0.977405 | + | 0.211376i | \(0.932205\pi\) | |||||||
\(510\) | −0.315069 | − | 0.545716i | −0.0139515 | − | 0.0241647i | ||||
\(511\) | −2.64854 | + | 6.74837i | −0.117165 | + | 0.298530i | ||||
\(512\) | 3.73249 | − | 1.79747i | 0.164954 | − | 0.0794377i | ||||
\(513\) | −38.2902 | + | 11.8110i | −1.69055 | + | 0.521466i | ||||
\(514\) | 4.81346 | + | 21.0891i | 0.212313 | + | 0.930202i | ||||
\(515\) | −1.97249 | −0.0869184 | ||||||||
\(516\) | 9.42182 | + | 2.85335i | 0.414773 | + | 0.125612i | ||||
\(517\) | −18.9520 | −0.833507 | ||||||||
\(518\) | −5.79275 | − | 25.3797i | −0.254519 | − | 1.11512i | ||||
\(519\) | −15.2280 | + | 4.69722i | −0.668435 | + | 0.206185i | ||||
\(520\) | 0.845935 | − | 0.407381i | 0.0370967 | − | 0.0178648i | ||||
\(521\) | 4.59482 | − | 11.7074i | 0.201303 | − | 0.512911i | −0.794199 | − | 0.607658i | \(-0.792109\pi\) |
0.995501 | + | 0.0947472i | \(0.0302043\pi\) | |||||||
\(522\) | −0.188819 | − | 0.327044i | −0.00826439 | − | 0.0143143i | ||||
\(523\) | 18.0801 | − | 31.3157i | 0.790589 | − | 1.36934i | −0.135014 | − | 0.990844i | \(-0.543108\pi\) |
0.925603 | − | 0.378496i | \(-0.123559\pi\) | |||||||
\(524\) | −0.840448 | − | 1.05389i | −0.0367151 | − | 0.0460393i | ||||
\(525\) | −23.9774 | + | 16.3475i | −1.04646 | + | 0.713465i | ||||
\(526\) | −24.8759 | − | 3.74944i | −1.08464 | − | 0.163483i | ||||
\(527\) | −0.495953 | − | 0.238838i | −0.0216041 | − | 0.0104040i | ||||
\(528\) | −27.1406 | + | 25.1828i | −1.18114 | + | 1.09594i | ||||
\(529\) | −31.5895 | + | 4.76135i | −1.37346 | + | 0.207015i | ||||
\(530\) | −6.04053 | − | 1.86326i | −0.262384 | − | 0.0809347i | ||||
\(531\) | 0.0228502 | − | 0.304915i | 0.000991616 | − | 0.0132322i | ||||
\(532\) | 14.5583 | − | 18.2555i | 0.631180 | − | 0.791475i | ||||
\(533\) | −2.26582 | − | 5.77321i | −0.0981434 | − | 0.250065i | ||||
\(534\) | −5.80983 | − | 5.39073i | −0.251416 | − | 0.233280i | ||||
\(535\) | −3.27195 | − | 2.23078i | −0.141459 | − | 0.0964450i | ||||
\(536\) | 1.86847 | + | 24.9330i | 0.0807056 | + | 1.07694i | ||||
\(537\) | 2.75596 | − | 12.0747i | 0.118929 | − | 0.521060i | ||||
\(538\) | 4.04140 | − | 17.7065i | 0.174237 | − | 0.763383i | ||||
\(539\) | 1.68226 | + | 22.4482i | 0.0724600 | + | 0.966912i | ||||
\(540\) | 1.46536 | + | 0.999066i | 0.0630591 | + | 0.0429929i | ||||
\(541\) | 3.25662 | + | 3.02170i | 0.140013 | + | 0.129913i | 0.747070 | − | 0.664745i | \(-0.231460\pi\) |
−0.607057 | + | 0.794658i | \(0.707650\pi\) | |||||||
\(542\) | −8.97782 | − | 22.8751i | −0.385630 | − | 0.982570i | ||||
\(543\) | 20.0800 | − | 25.1795i | 0.861715 | − | 1.08056i | ||||
\(544\) | 0.195236 | − | 2.60524i | 0.00837067 | − | 0.111699i | ||||
\(545\) | −0.413916 | − | 0.127676i | −0.0177302 | − | 0.00546905i | ||||
\(546\) | −12.8238 | + | 1.93288i | −0.548808 | + | 0.0827196i | ||||
\(547\) | −0.724131 | + | 0.671896i | −0.0309616 | + | 0.0287282i | −0.695502 | − | 0.718524i | \(-0.744818\pi\) |
0.664540 | + | 0.747252i | \(0.268627\pi\) | |||||||
\(548\) | 2.51650 | + | 1.21188i | 0.107499 | + | 0.0517690i | ||||
\(549\) | −0.349011 | − | 0.0526049i | −0.0148954 | − | 0.00224512i | ||||
\(550\) | 29.4752 | − | 20.0959i | 1.25683 | − | 0.856890i | ||||
\(551\) | −16.2385 | − | 20.3625i | −0.691785 | − | 0.867470i | ||||
\(552\) | 12.0999 | − | 20.9577i | 0.515007 | − | 0.892019i | ||||
\(553\) | −14.4638 | − | 25.0521i | −0.615065 | − | 1.06532i | ||||
\(554\) | −12.6508 | + | 32.2338i | −0.537483 | + | 1.36948i | ||||
\(555\) | 2.61500 | − | 1.25932i | 0.111000 | − | 0.0534550i | ||||
\(556\) | −16.8118 | + | 5.18576i | −0.712980 | + | 0.219925i | ||||
\(557\) | −2.10042 | − | 9.20253i | −0.0889976 | − | 0.389924i | 0.910736 | − | 0.412988i | \(-0.135515\pi\) |
−0.999734 | + | 0.0230643i | \(0.992658\pi\) | |||||||
\(558\) | 0.108231 | 0.00458178 | ||||||||
\(559\) | 5.26013 | + | 6.52695i | 0.222480 | + | 0.276061i | ||||
\(560\) | 6.70806 | 0.283467 | ||||||||
\(561\) | 0.930095 | + | 4.07501i | 0.0392687 | + | 0.172047i | ||||
\(562\) | 11.7519 | − | 3.62499i | 0.495725 | − | 0.152911i | ||||
\(563\) | 24.8446 | − | 11.9645i | 1.04708 | − | 0.504245i | 0.170425 | − | 0.985371i | \(-0.445486\pi\) |
0.876652 | + | 0.481125i | \(0.159772\pi\) | |||||||
\(564\) | 2.39745 | − | 6.10859i | 0.100951 | − | 0.257218i | ||||
\(565\) | −3.07776 | − | 5.33083i | −0.129482 | − | 0.224270i | ||||
\(566\) | −25.8462 | + | 44.7670i | −1.08640 | + | 1.88170i | ||||
\(567\) | 19.1581 | + | 24.0234i | 0.804563 | + | 1.00889i | ||||
\(568\) | 12.0170 | − | 8.19308i | 0.504224 | − | 0.343774i | ||||
\(569\) | 20.0473 | + | 3.02164i | 0.840425 | + | 0.126674i | 0.555127 | − | 0.831765i | \(-0.312670\pi\) |
0.285297 | + | 0.958439i | \(0.407908\pi\) | |||||||
\(570\) | 7.69852 | + | 3.70741i | 0.322456 | + | 0.155286i | ||||
\(571\) | 13.1590 | − | 12.2098i | 0.550688 | − | 0.510964i | −0.355024 | − | 0.934857i | \(-0.615527\pi\) |
0.905712 | + | 0.423893i | \(0.139337\pi\) | |||||||
\(572\) | 4.80287 | − | 0.723917i | 0.200818 | − | 0.0302685i | ||||
\(573\) | 11.5123 | + | 3.55107i | 0.480933 | + | 0.148348i | ||||
\(574\) | 2.14698 | − | 28.6495i | 0.0896134 | − | 1.19581i | ||||
\(575\) | −22.4218 | + | 28.1161i | −0.935055 | + | 1.17252i | ||||
\(576\) | −0.0499533 | − | 0.127279i | −0.00208139 | − | 0.00530329i | ||||
\(577\) | −0.766879 | − | 0.711560i | −0.0319256 | − | 0.0296226i | 0.664049 | − | 0.747689i | \(-0.268837\pi\) |
−0.695974 | + | 0.718067i | \(0.745027\pi\) | |||||||
\(578\) | 23.3780 | + | 15.9389i | 0.972397 | + | 0.662969i | ||||
\(579\) | 0.527022 | + | 7.03262i | 0.0219023 | + | 0.292266i | ||||
\(580\) | −0.256510 | + | 1.12384i | −0.0106510 | + | 0.0466650i | ||||
\(581\) | −9.05140 | + | 39.6568i | −0.375516 | + | 1.64524i | ||||
\(582\) | −0.106453 | − | 1.42052i | −0.00441264 | − | 0.0588825i | ||||
\(583\) | 34.6448 | + | 23.6204i | 1.43484 | + | 0.978257i | ||||
\(584\) | −2.90043 | − | 2.69120i | −0.120021 | − | 0.111363i | ||||
\(585\) | 0.0117430 | + | 0.0299208i | 0.000485514 | + | 0.00123707i | ||||
\(586\) | −27.1612 | + | 34.0591i | −1.12202 | + | 1.40697i | ||||
\(587\) | −1.23653 | + | 16.5003i | −0.0510370 | + | 0.681042i | 0.911744 | + | 0.410759i | \(0.134736\pi\) |
−0.962781 | + | 0.270283i | \(0.912883\pi\) | |||||||
\(588\) | −7.44830 | − | 2.29750i | −0.307163 | − | 0.0947472i | ||||
\(589\) | 7.38099 | − | 1.11251i | 0.304128 | − | 0.0458400i | ||||
\(590\) | −2.24573 | + | 2.08373i | −0.0924551 | + | 0.0857858i | ||||
\(591\) | 2.78450 | + | 1.34094i | 0.114539 | + | 0.0551590i | ||||
\(592\) | 21.6679 | + | 3.26592i | 0.890547 | + | 0.134228i | ||||
\(593\) | −8.32969 | + | 5.67909i | −0.342059 | + | 0.233212i | −0.722149 | − | 0.691737i | \(-0.756846\pi\) |
0.380090 | + | 0.924950i | \(0.375893\pi\) | |||||||
\(594\) | −24.0746 | − | 30.1886i | −0.987792 | − | 1.23865i | ||||
\(595\) | 0.378650 | − | 0.655841i | 0.0155231 | − | 0.0268869i | ||||
\(596\) | 5.53923 | + | 9.59422i | 0.226896 | + | 0.392995i | ||||
\(597\) | 14.2497 | − | 36.3075i | 0.583200 | − | 1.48597i | ||||
\(598\) | −14.4794 | + | 6.97290i | −0.592105 | + | 0.285143i | ||||
\(599\) | 32.4927 | − | 10.0227i | 1.32761 | − | 0.409515i | 0.451782 | − | 0.892129i | \(-0.350789\pi\) |
0.875833 | + | 0.482614i | \(0.160312\pi\) | |||||||
\(600\) | −3.52442 | − | 15.4415i | −0.143884 | − | 0.630396i | ||||
\(601\) | −27.2454 | −1.11136 | −0.555681 | − | 0.831396i | \(-0.687542\pi\) | ||||
−0.555681 | + | 0.831396i | \(0.687542\pi\) | |||||||
\(602\) | 8.83526 | + | 37.8137i | 0.360098 | + | 1.54117i | ||||
\(603\) | −0.855944 | −0.0348567 | ||||||||
\(604\) | −0.196087 | − | 0.859113i | −0.00797866 | − | 0.0349568i | ||||
\(605\) | 2.87199 | − | 0.885890i | 0.116763 | − | 0.0360166i | ||||
\(606\) | −5.76481 | + | 2.77619i | −0.234180 | + | 0.112775i | ||||
\(607\) | −8.72876 | + | 22.2405i | −0.354289 | + | 0.902715i | 0.636982 | + | 0.770879i | \(0.280183\pi\) |
−0.991272 | + | 0.131836i | \(0.957913\pi\) | |||||||
\(608\) | 17.7132 | + | 30.6801i | 0.718364 | + | 1.24424i | ||||
\(609\) | −10.2080 | + | 17.6807i | −0.413648 | + | 0.716459i | ||||
\(610\) | 2.20482 | + | 2.76476i | 0.0892705 | + | 0.111942i | ||||
\(611\) | 4.61691 | − | 3.14776i | 0.186780 | − | 0.127345i | ||||
\(612\) | 0.0318137 | + | 0.00479514i | 0.00128599 | + | 0.000193832i | ||||
\(613\) | 30.1578 | + | 14.5232i | 1.21806 | + | 0.586588i | 0.928771 | − | 0.370654i | \(-0.120866\pi\) |
0.289291 | + | 0.957241i | \(0.406581\pi\) | |||||||
\(614\) | 19.7051 | − | 18.2837i | 0.795233 | − | 0.737868i | ||||
\(615\) | 3.16740 | − | 0.477409i | 0.127722 | − | 0.0192510i | ||||
\(616\) | −27.5688 | − | 8.50386i | −1.11078 | − | 0.342630i | ||||
\(617\) | −1.17887 | + | 15.7309i | −0.0474594 | + | 0.633302i | 0.921864 | + | 0.387513i | \(0.126666\pi\) |
−0.969323 | + | 0.245789i | \(0.920953\pi\) | |||||||
\(618\) | −9.27110 | + | 11.6256i | −0.372939 | + | 0.467650i | ||||
\(619\) | 7.08652 | + | 18.0562i | 0.284831 | + | 0.725738i | 0.999651 | + | 0.0264292i | \(0.00841367\pi\) |
−0.714819 | + | 0.699309i | \(0.753491\pi\) | |||||||
\(620\) | −0.242182 | − | 0.224712i | −0.00972628 | − | 0.00902467i | ||||
\(621\) | 32.1607 | + | 21.9268i | 1.29056 | + | 0.879892i | ||||
\(622\) | −3.42397 | − | 45.6897i | −0.137289 | − | 1.83199i | ||||
\(623\) | 2.11949 | − | 9.28610i | 0.0849156 | − | 0.372040i | ||||
\(624\) | 2.42911 | − | 10.6426i | 0.0972424 | − | 0.426047i | ||||
\(625\) | 1.70340 | + | 22.7303i | 0.0681359 | + | 0.909210i | ||||
\(626\) | −27.0075 | − | 18.4134i | −1.07944 | − | 0.735947i | ||||
\(627\) | −41.5483 | − | 38.5512i | −1.65928 | − | 1.53959i | ||||
\(628\) | 1.52504 | + | 3.88574i | 0.0608557 | + | 0.155058i | ||||
\(629\) | 1.54240 | − | 1.93411i | 0.0614994 | − | 0.0771178i | ||||
\(630\) | −0.0111272 | + | 0.148482i | −0.000443316 | + | 0.00591565i | ||||
\(631\) | −1.52150 | − | 0.469320i | −0.0605699 | − | 0.0186833i | 0.264322 | − | 0.964434i | \(-0.414852\pi\) |
−0.324892 | + | 0.945751i | \(0.605328\pi\) | |||||||
\(632\) | 15.6119 | − | 2.35311i | 0.621007 | − | 0.0936017i | ||||
\(633\) | −9.90382 | + | 9.18940i | −0.393641 | + | 0.365246i | ||||
\(634\) | −19.6529 | − | 9.46434i | −0.780516 | − | 0.375877i | ||||
\(635\) | 1.28317 | + | 0.193406i | 0.0509209 | + | 0.00767510i | ||||
\(636\) | −11.9959 | + | 8.17868i | −0.475669 | + | 0.324306i | ||||
\(637\) | −4.13827 | − | 5.18922i | −0.163964 | − | 0.205604i | ||||
\(638\) | 12.5485 | − | 21.7347i | 0.496802 | − | 0.860486i | ||||
\(639\) | 0.248952 | + | 0.431198i | 0.00984840 | + | 0.0170579i | ||||
\(640\) | −1.80786 | + | 4.60636i | −0.0714620 | + | 0.182082i | ||||
\(641\) | 6.14244 | − | 2.95804i | 0.242612 | − | 0.116836i | −0.308627 | − | 0.951183i | \(-0.599870\pi\) |
0.551239 | + | 0.834347i | \(0.314155\pi\) | |||||||
\(642\) | −28.5267 | + | 8.79933i | −1.12586 | + | 0.347282i | ||||
\(643\) | −3.83478 | − | 16.8013i | −0.151229 | − | 0.662578i | −0.992529 | − | 0.122009i | \(-0.961066\pi\) |
0.841300 | − | 0.540569i | \(-0.181791\pi\) | |||||||
\(644\) | −22.6817 | −0.893786 | ||||||||
\(645\) | −3.89106 | + | 1.89851i | −0.153210 | + | 0.0747539i | ||||
\(646\) | 7.28288 | 0.286541 | ||||||||
\(647\) | −3.00033 | − | 13.1453i | −0.117955 | − | 0.516795i | −0.999039 | − | 0.0438349i | \(-0.986042\pi\) |
0.881084 | − | 0.472961i | \(-0.156815\pi\) | |||||||
\(648\) | −16.0253 | + | 4.94314i | −0.629531 | + | 0.194185i | ||||
\(649\) | 18.3085 | − | 8.81691i | 0.718671 | − | 0.346094i | ||||
\(650\) | −3.84275 | + | 9.79116i | −0.150725 | + | 0.384041i | ||||
\(651\) | −2.92560 | − | 5.06728i | −0.114663 | − | 0.198602i | ||||
\(652\) | 4.16131 | − | 7.20760i | 0.162970 | − | 0.282272i | ||||
\(653\) | −23.9528 | − | 30.0358i | −0.937344 | − | 1.17539i | −0.984301 | − | 0.176496i | \(-0.943524\pi\) |
0.0469569 | − | 0.998897i | \(-0.485048\pi\) | |||||||
\(654\) | −2.69800 | + | 1.83946i | −0.105500 | + | 0.0719287i | ||||
\(655\) | 0.586210 | + | 0.0883570i | 0.0229051 | + | 0.00345239i | ||||
\(656\) | 21.7884 | + | 10.4927i | 0.850693 | + | 0.409672i | ||||
\(657\) | 0.0992925 | − | 0.0921300i | 0.00387377 | − | 0.00359433i | ||||
\(658\) | 25.5962 | − | 3.85800i | 0.997842 | − | 0.150401i | ||||
\(659\) | −6.80245 | − | 2.09828i | −0.264986 | − | 0.0817373i | 0.159415 | − | 0.987212i | \(-0.449039\pi\) |
−0.424401 | + | 0.905474i | \(0.639515\pi\) | |||||||
\(660\) | −0.187469 | + | 2.50160i | −0.00729721 | + | 0.0973746i | ||||
\(661\) | 13.9581 | − | 17.5029i | 0.542908 | − | 0.680785i | −0.432388 | − | 0.901688i | \(-0.642329\pi\) |
0.975296 | + | 0.220903i | \(0.0709003\pi\) | |||||||
\(662\) | 1.57675 | + | 4.01750i | 0.0612822 | + | 0.156144i | ||||
\(663\) | −0.903406 | − | 0.838238i | −0.0350854 | − | 0.0325545i | ||||
\(664\) | −18.3430 | − | 12.5060i | −0.711846 | − | 0.485328i | ||||
\(665\) | 0.767406 | + | 10.2403i | 0.0297587 | + | 0.397103i | ||||
\(666\) | −0.108233 | + | 0.474198i | −0.00419393 | + | 0.0183748i | ||||
\(667\) | −5.62969 | + | 24.6653i | −0.217983 | + | 0.955044i | ||||
\(668\) | −1.48209 | − | 19.7772i | −0.0573439 | − | 0.765201i | ||||
\(669\) | −12.1876 | − | 8.30936i | −0.471199 | − | 0.321258i | ||||
\(670\) | 6.28647 | + | 5.83299i | 0.242867 | + | 0.225348i | ||||
\(671\) | −8.56964 | − | 21.8351i | −0.330827 | − | 0.842935i | ||||
\(672\) | 17.3144 | − | 21.7116i | 0.667917 | − | 0.837542i | ||||
\(673\) | 0.148095 | − | 1.97619i | 0.00570864 | − | 0.0761765i | −0.993622 | − | 0.112764i | \(-0.964030\pi\) |
0.999330 | + | 0.0365873i | \(0.0116487\pi\) | |||||||
\(674\) | −1.19518 | − | 0.368663i | −0.0460365 | − | 0.0142004i | ||||
\(675\) | 25.1910 | − | 3.79693i | 0.969602 | − | 0.146144i | ||||
\(676\) | 7.30137 | − | 6.77468i | 0.280822 | − | 0.260565i | ||||
\(677\) | 6.11443 | + | 2.94456i | 0.234997 | + | 0.113168i | 0.547677 | − | 0.836690i | \(-0.315512\pi\) |
−0.312680 | + | 0.949859i | \(0.601227\pi\) | |||||||
\(678\) | −45.8853 | − | 6.91609i | −1.76221 | − | 0.265611i | ||||
\(679\) | 1.41450 | − | 0.964388i | 0.0542834 | − | 0.0370098i | ||||
\(680\) | 0.257701 | + | 0.323147i | 0.00988240 | + | 0.0123921i | ||||
\(681\) | −6.97904 | + | 12.0880i | −0.267437 | + | 0.463215i | ||||
\(682\) | 3.59641 | + | 6.22916i | 0.137713 | + | 0.238527i | ||||
\(683\) | 3.77933 | − | 9.62958i | 0.144612 | − | 0.368466i | −0.840154 | − | 0.542347i | \(-0.817536\pi\) |
0.984767 | + | 0.173881i | \(0.0556310\pi\) | |||||||
\(684\) | −0.393064 | + | 0.189290i | −0.0150292 | + | 0.00723767i | ||||
\(685\) | −1.17382 | + | 0.362074i | −0.0448492 | + | 0.0138342i | ||||
\(686\) | 2.38241 | + | 10.4380i | 0.0909610 | + | 0.398526i | ||||
\(687\) | 42.4465 | 1.61944 | ||||||||
\(688\) | −32.3464 | − | 4.70570i | −1.23320 | − | 0.179403i | ||||
\(689\) | −12.3630 | −0.470993 | ||||||||
\(690\) | −1.84699 | − | 8.09220i | −0.0703138 | − | 0.308065i | ||||
\(691\) | −10.6685 | + | 3.29080i | −0.405850 | + | 0.125188i | −0.490957 | − | 0.871184i | \(-0.663353\pi\) |
0.0851075 | + | 0.996372i | \(0.472877\pi\) | |||||||
\(692\) | −7.34466 | + | 3.53700i | −0.279202 | + | 0.134457i | ||||
\(693\) | 0.360834 | − | 0.919390i | 0.0137070 | − | 0.0349247i | ||||
\(694\) | −4.44549 | − | 7.69981i | −0.168748 | − | 0.292281i | ||||
\(695\) | 3.86875 | − | 6.70087i | 0.146750 | − | 0.254179i | ||||
\(696\) | −6.94732 | − | 8.71167i | −0.263338 | − | 0.330215i | ||||
\(697\) | 2.25576 | − | 1.53795i | 0.0854428 | − | 0.0582539i | ||||
\(698\) | 16.7265 | + | 2.52111i | 0.633106 | + | 0.0954254i | ||||
\(699\) | 13.3074 | + | 6.40851i | 0.503332 | + | 0.242392i | ||||
\(700\) | −10.8821 | + | 10.0972i | −0.411306 | + | 0.381637i | ||||
\(701\) | 45.9912 | − | 6.93206i | 1.73706 | − | 0.261820i | 0.797285 | − | 0.603603i | \(-0.206269\pi\) |
0.939779 | + | 0.341783i | \(0.111031\pi\) | |||||||
\(702\) | 10.8789 | + | 3.35570i | 0.410598 | + | 0.126653i | ||||
\(703\) | −2.50683 | + | 33.4513i | −0.0945467 | + | 1.26164i | ||||
\(704\) | 5.66556 | − | 7.10438i | 0.213529 | − | 0.267757i | ||||
\(705\) | 1.05438 | + | 2.68653i | 0.0397104 | + | 0.101180i | ||||
\(706\) | 31.1443 | + | 28.8977i | 1.17213 | + | 1.08758i | ||||
\(707\) | −6.35350 | − | 4.33175i | −0.238948 | − | 0.162912i | ||||
\(708\) | 0.525817 | + | 7.01654i | 0.0197614 | + | 0.263698i | ||||
\(709\) | −1.61013 | + | 7.05446i | −0.0604699 | + | 0.264936i | −0.996121 | − | 0.0879894i | \(-0.971956\pi\) |
0.935652 | + | 0.352925i | \(0.114813\pi\) | |||||||
\(710\) | 1.11005 | − | 4.86346i | 0.0416596 | − | 0.182523i | ||||
\(711\) | 0.0403908 | + | 0.538978i | 0.00151477 | + | 0.0202133i | ||||
\(712\) | 4.29522 | + | 2.92843i | 0.160970 | + | 0.109748i | ||||
\(713\) | −5.31525 | − | 4.93183i | −0.199058 | − | 0.184699i | ||||
\(714\) | −2.08571 | − | 5.31430i | −0.0780557 | − | 0.198883i | ||||
\(715\) | −1.33186 | + | 1.67010i | −0.0498087 | + | 0.0624582i | ||||
\(716\) | 0.473457 | − | 6.31784i | 0.0176939 | − | 0.236109i | ||||
\(717\) | −5.51043 | − | 1.69974i | −0.205791 | − | 0.0634780i | ||||
\(718\) | 23.0787 | − | 3.47855i | 0.861289 | − | 0.129818i | ||||
\(719\) | 26.6874 | − | 24.7623i | 0.995274 | − | 0.923479i | −0.00179446 | − | 0.999998i | \(-0.500571\pi\) |
0.997068 | + | 0.0765194i | \(0.0243807\pi\) | |||||||
\(720\) | −0.112922 | − | 0.0543806i | −0.00420837 | − | 0.00202664i | ||||
\(721\) | −17.6708 | − | 2.66345i | −0.658095 | − | 0.0991919i | ||||
\(722\) | −54.9720 | + | 37.4793i | −2.04585 | + | 1.39483i | ||||
\(723\) | 28.8563 | + | 36.1846i | 1.07318 | + | 1.34572i | ||||
\(724\) | 8.23734 | − | 14.2675i | 0.306138 | − | 0.530247i | ||||
\(725\) | 8.27918 | + | 14.3400i | 0.307481 | + | 0.532573i | ||||
\(726\) | 8.27759 | − | 21.0910i | 0.307210 | − | 0.782759i | ||||
\(727\) | −38.1354 | + | 18.3650i | −1.41436 | + | 0.681121i | −0.976019 | − | 0.217687i | \(-0.930149\pi\) |
−0.438343 | + | 0.898808i | \(0.644435\pi\) | |||||||
\(728\) | 8.12850 | − | 2.50731i | 0.301262 | − | 0.0929271i | ||||
\(729\) | −6.13298 | − | 26.8703i | −0.227147 | − | 0.995197i | ||||
\(730\) | −1.35709 | −0.0502281 | ||||||||
\(731\) | −2.28593 | + | 2.89686i | −0.0845483 | + | 0.107144i | ||||
\(732\) | 8.12195 | 0.300196 | ||||||||
\(733\) | 4.08534 | + | 17.8990i | 0.150895 | + | 0.661116i | 0.992626 | + | 0.121218i | \(0.0386800\pi\) |
−0.841731 | + | 0.539898i | \(0.818463\pi\) | |||||||
\(734\) | 44.5391 | − | 13.7385i | 1.64397 | − | 0.507097i | ||||
\(735\) | 3.08854 | − | 1.48736i | 0.113923 | − | 0.0548622i | ||||
\(736\) | 12.5725 | − | 32.0342i | 0.463428 | − | 1.18080i | ||||
\(737\) | −28.4422 | − | 49.2633i | −1.04768 | − | 1.81464i | ||||
\(738\) | −0.268396 | + | 0.464876i | −0.00987981 | + | 0.0171123i | ||||
\(739\) | 19.5007 | + | 24.4531i | 0.717345 | + | 0.899522i | 0.998184 | − | 0.0602326i | \(-0.0191843\pi\) |
−0.280839 | + | 0.959755i | \(0.590613\pi\) | |||||||
\(740\) | 1.22673 | − | 0.836372i | 0.0450956 | − | 0.0307456i | ||||
\(741\) | 16.5246 | + | 2.49069i | 0.607048 | + | 0.0914977i | ||||
\(742\) | −51.5989 | − | 24.8487i | −1.89425 | − | 0.912225i | ||||
\(743\) | −17.5715 | + | 16.3039i | −0.644635 | + | 0.598134i | −0.933213 | − | 0.359323i | \(-0.883008\pi\) |
0.288579 | + | 0.957456i | \(0.406817\pi\) | |||||||
\(744\) | 3.15781 | − | 0.475963i | 0.115771 | − | 0.0174496i | ||||
\(745\) | −4.65579 | − | 1.43612i | −0.170575 | − | 0.0526153i | ||||
\(746\) | −1.99173 | + | 26.5778i | −0.0729225 | + | 0.973084i | ||||
\(747\) | 0.473858 | − | 0.594199i | 0.0173375 | − | 0.0217406i | ||||
\(748\) | 0.781156 | + | 1.99035i | 0.0285619 | + | 0.0727745i | ||||
\(749\) | −26.3000 | − | 24.4028i | −0.960980 | − | 0.891659i | ||||
\(750\) | −9.11446 | − | 6.21414i | −0.332813 | − | 0.226908i | ||||
\(751\) | −3.81330 | − | 50.8850i | −0.139149 | − | 1.85682i | −0.433540 | − | 0.901134i | \(-0.642736\pi\) |
0.294391 | − | 0.955685i | \(-0.404883\pi\) | |||||||
\(752\) | −4.84848 | + | 21.2426i | −0.176806 | + | 0.774637i | ||||
\(753\) | −4.10393 | + | 17.9805i | −0.149555 | + | 0.655245i | ||||
\(754\) | 0.552982 | + | 7.37903i | 0.0201384 | + | 0.268728i | ||||
\(755\) | 0.320209 | + | 0.218315i | 0.0116536 | + | 0.00794528i | ||||
\(756\) | 11.7786 | + | 10.9289i | 0.428383 | + | 0.397481i | ||||
\(757\) | 8.24045 | + | 20.9963i | 0.299504 | + | 0.763125i | 0.998832 | + | 0.0483232i | \(0.0153878\pi\) |
−0.699327 | + | 0.714802i | \(0.746517\pi\) | |||||||
\(758\) | 27.2106 | − | 34.1210i | 0.988333 | − | 1.23933i | ||||
\(759\) | −4.11444 | + | 54.9033i | −0.149345 | + | 1.99286i | ||||
\(760\) | −5.35566 | − | 1.65200i | −0.194270 | − | 0.0599244i | ||||
\(761\) | −35.6862 | + | 5.37882i | −1.29362 | + | 0.194982i | −0.759546 | − | 0.650454i | \(-0.774579\pi\) |
−0.534076 | + | 0.845436i | \(0.679341\pi\) | |||||||
\(762\) | 7.17105 | − | 6.65376i | 0.259780 | − | 0.241040i | ||||
\(763\) | −3.53572 | − | 1.70271i | −0.128002 | − | 0.0616423i | ||||
\(764\) | 6.09401 | + | 0.918524i | 0.220473 | + | 0.0332310i | ||||
\(765\) | −0.0116909 | + | 0.00797071i | −0.000422685 | + | 0.000288182i | ||||
\(766\) | 19.0820 | + | 23.9280i | 0.689460 | + | 0.864555i | ||||
\(767\) | −2.99574 | + | 5.18878i | −0.108170 | + | 0.187356i | ||||
\(768\) | 15.0615 | + | 26.0874i | 0.543487 | + | 0.941347i | ||||
\(769\) | −9.37295 | + | 23.8819i | −0.337997 | + | 0.861203i | 0.656294 | + | 0.754505i | \(0.272123\pi\) |
−0.994292 | + | 0.106698i | \(0.965972\pi\) | |||||||
\(770\) | −8.91550 | + | 4.29348i | −0.321292 | + | 0.154726i | ||||
\(771\) | −20.8793 | + | 6.44043i | −0.751951 | + | 0.231946i | ||||
\(772\) | 0.802762 | + | 3.51713i | 0.0288921 | + | 0.126584i | ||||
\(773\) | −30.1582 | −1.08472 | −0.542358 | − | 0.840148i | \(-0.682468\pi\) | ||||
−0.542358 | + | 0.840148i | \(0.682468\pi\) | |||||||
\(774\) | 0.157815 | − | 0.708176i | 0.00567255 | − | 0.0254548i | ||||
\(775\) | −4.74562 | −0.170468 | ||||||||
\(776\) | 0.207915 | + | 0.910936i | 0.00746372 | + | 0.0327007i | ||||
\(777\) | 25.1272 | − | 7.75072i | 0.901434 | − | 0.278055i | ||||
\(778\) | −38.6599 | + | 18.6176i | −1.38603 | + | 0.667475i | ||||
\(779\) | −13.5253 | + | 34.4619i | −0.484594 | + | 1.23472i | ||||
\(780\) | −0.369824 | − | 0.640554i | −0.0132418 | − | 0.0229355i | ||||
\(781\) | −16.5449 | + | 28.6566i | −0.592023 | + | 1.02541i | ||||
\(782\) | −4.41092 | − | 5.53112i | −0.157734 | − | 0.197792i | ||||
\(783\) | 14.8082 | − | 10.0960i | 0.529200 | − | 0.360803i | ||||
\(784\) | 25.5917 | + | 3.85733i | 0.913990 | + | 0.137762i | ||||
\(785\) | −1.65403 | − | 0.796537i | −0.0590347 | − | 0.0284296i | ||||
\(786\) | 3.27607 | − | 3.03975i | 0.116854 | − | 0.108424i | ||||
\(787\) | −20.5239 | + | 3.09348i | −0.731598 | + | 0.110271i | −0.504268 | − | 0.863547i | \(-0.668238\pi\) |
−0.227330 | + | 0.973818i | \(0.573000\pi\) | |||||||
\(788\) | 1.51072 | + | 0.465995i | 0.0538171 | + | 0.0166004i | ||||
\(789\) | 1.89898 | − | 25.3401i | 0.0676053 | − | 0.902130i | ||||
\(790\) | 3.37632 | − | 4.23377i | 0.120124 | − | 0.150631i | ||||
\(791\) | −20.3743 | − | 51.9128i | −0.724426 | − | 1.84581i | ||||
\(792\) | 0.395151 | + | 0.366646i | 0.0140411 | + | 0.0130282i | ||||
\(793\) | 5.71428 | + | 3.89593i | 0.202920 | + | 0.138349i | ||||
\(794\) | −0.334993 | − | 4.47018i | −0.0118885 | − | 0.158641i | ||||
\(795\) | 1.42085 | − | 6.22516i | 0.0503924 | − | 0.220784i | ||||
\(796\) | 4.43976 | − | 19.4519i | 0.157363 | − | 0.689453i | ||||
\(797\) | 1.25760 | + | 16.7815i | 0.0445463 | + | 0.594430i | 0.974155 | + | 0.225881i | \(0.0725261\pi\) |
−0.929609 | + | 0.368549i | \(0.879855\pi\) | |||||||
\(798\) | 63.9620 | + | 43.6086i | 2.26423 | + | 1.54373i | ||||
\(799\) | 1.80319 | + | 1.67311i | 0.0637922 | + | 0.0591905i | ||||
\(800\) | −8.22857 | − | 20.9661i | −0.290924 | − | 0.741262i | ||||
\(801\) | −0.110959 | + | 0.139139i | −0.00392055 | + | 0.00491622i | ||||
\(802\) | −3.72732 | + | 49.7376i | −0.131616 | + | 1.75630i | ||||
\(803\) | 8.60187 | + | 2.65333i | 0.303554 | + | 0.0936339i | ||||
\(804\) | 19.4765 | − | 2.93561i | 0.686883 | − | 0.103531i | ||||
\(805\) | 7.31242 | − | 6.78494i | 0.257729 | − | 0.239138i | ||||
\(806\) | −1.91073 | − | 0.920161i | −0.0673027 | − | 0.0324113i | ||||
\(807\) | 18.1405 | + | 2.73424i | 0.638577 | + | 0.0962499i | ||||
\(808\) | 3.46763 | − | 2.36419i | 0.121991 | − | 0.0831719i | ||||
\(809\) | 21.2357 | + | 26.6287i | 0.746608 | + | 0.936217i | 0.999511 | − | 0.0312750i | \(-0.00995677\pi\) |
−0.252903 | + | 0.967492i | \(0.581385\pi\) | |||||||
\(810\) | −2.87602 | + | 4.98142i | −0.101053 | + | 0.175029i | ||||
\(811\) | −6.69823 | − | 11.6017i | −0.235207 | − | 0.407390i | 0.724126 | − | 0.689668i | \(-0.242243\pi\) |
−0.959333 | + | 0.282278i | \(0.908910\pi\) | |||||||
\(812\) | −3.81549 | + | 9.72171i | −0.133897 | + | 0.341165i | ||||
\(813\) | 22.3640 | − | 10.7699i | 0.784339 | − | 0.377718i | ||||
\(814\) | −30.8886 | + | 9.52788i | −1.08265 | + | 0.333952i | ||||
\(815\) | 0.814481 | + | 3.56848i | 0.0285300 | + | 0.124998i | ||||
\(816\) | 4.80548 | 0.168226 | ||||||||
\(817\) | 3.48313 | − | 49.9174i | 0.121859 | − | 1.74639i | ||||
\(818\) | 0.643023 | 0.0224828 | ||||||||
\(819\) | 0.0647995 | + | 0.283905i | 0.00226428 | + | 0.00992045i | ||||
\(820\) | 1.56577 | − | 0.482975i | 0.0546790 | − | 0.0168662i | ||||
\(821\) | −11.8336 | + | 5.69878i | −0.412997 | + | 0.198889i | −0.628832 | − | 0.777541i | \(-0.716467\pi\) |
0.215836 | + | 0.976430i | \(0.430752\pi\) | |||||||
\(822\) | −3.38315 | + | 8.62014i | −0.118001 | + | 0.300662i | ||||
\(823\) | −9.61010 | − | 16.6452i | −0.334987 | − | 0.580215i | 0.648495 | − | 0.761219i | \(-0.275399\pi\) |
−0.983482 | + | 0.181004i | \(0.942065\pi\) | |||||||
\(824\) | 4.87667 | − | 8.44664i | 0.169887 | − | 0.294253i | ||||
\(825\) | 22.4671 | + | 28.1729i | 0.782205 | + | 0.980854i | ||||
\(826\) | −22.9323 | + | 15.6350i | −0.797916 | + | 0.544010i | ||||
\(827\) | 32.5196 | + | 4.90154i | 1.13082 | + | 0.170443i | 0.687682 | − | 0.726012i | \(-0.258628\pi\) |
0.443135 | + | 0.896455i | \(0.353866\pi\) | |||||||
\(828\) | 0.381821 | + | 0.183875i | 0.0132692 | + | 0.00639011i | ||||
\(829\) | 8.73426 | − | 8.10421i | 0.303353 | − | 0.281471i | −0.513777 | − | 0.857924i | \(-0.671754\pi\) |
0.817130 | + | 0.576453i | \(0.195564\pi\) | |||||||
\(830\) | −7.52952 | + | 1.13489i | −0.261354 | + | 0.0393927i | ||||
\(831\) | −33.4235 | − | 10.3098i | −1.15945 | − | 0.357642i | ||||
\(832\) | −0.200217 | + | 2.67171i | −0.00694127 | + | 0.0926248i | ||||
\(833\) | 1.82171 | − | 2.28435i | 0.0631184 | − | 0.0791480i | ||||
\(834\) | −21.3101 | − | 54.2973i | −0.737909 | − | 1.88016i | ||||
\(835\) | 6.39388 | + | 5.93266i | 0.221269 | + | 0.205308i | ||||
\(836\) | −23.9556 | − | 16.3326i | −0.828521 | − | 0.564876i | ||||
\(837\) | 0.383854 | + | 5.12218i | 0.0132679 | + | 0.177048i | ||||
\(838\) | 6.24126 | − | 27.3448i | 0.215601 | − | 0.944609i | ||||
\(839\) | 11.8997 | − | 52.1359i | 0.410822 | − | 1.79993i | −0.169486 | − | 0.985533i | \(-0.554211\pi\) |
0.580308 | − | 0.814397i | \(-0.302932\pi\) | |||||||
\(840\) | 0.328319 | + | 4.38112i | 0.0113281 | + | 0.151163i | ||||
\(841\) | −14.3361 | − | 9.77416i | −0.494347 | − | 0.337040i | ||||
\(842\) | −11.3990 | − | 10.5767i | −0.392834 | − | 0.364497i | ||||
\(843\) | 4.53848 | + | 11.5638i | 0.156313 | + | 0.398280i | ||||
\(844\) | −4.30903 | + | 5.40336i | −0.148323 | + | 0.185991i | ||||
\(845\) | −0.327352 | + | 4.36821i | −0.0112613 | + | 0.150271i | ||||
\(846\) | −0.462158 | − | 0.142557i | −0.0158893 | − | 0.00490120i | ||||
\(847\) | 26.9253 | − | 4.05833i | 0.925163 | − | 0.139446i | ||||
\(848\) | 35.3384 | − | 32.7893i | 1.21353 | − | 1.12599i | ||||
\(849\) | −47.0440 | − | 22.6552i | −1.61455 | − | 0.777524i | ||||
\(850\) | −4.57852 | − | 0.690101i | −0.157042 | − | 0.0236703i | ||||
\(851\) | 26.9235 | − | 18.3561i | 0.922924 | − | 0.629239i | ||||
\(852\) | −7.14364 | − | 8.95784i | −0.244737 | − | 0.306890i | ||||
\(853\) | −14.4537 | + | 25.0346i | −0.494886 | + | 0.857168i | −0.999983 | − | 0.00589491i | \(-0.998124\pi\) |
0.505096 | + | 0.863063i | \(0.331457\pi\) | |||||||
\(854\) | 16.0189 | + | 27.7456i | 0.548156 | + | 0.949434i | ||||
\(855\) | 0.0700974 | − | 0.178605i | 0.00239728 | − | 0.00610817i | ||||
\(856\) | 17.6421 | − | 8.49597i | 0.602993 | − | 0.290386i | ||||
\(857\) | 36.3470 | − | 11.2116i | 1.24159 | − | 0.382980i | 0.396714 | − | 0.917942i | \(-0.370151\pi\) |
0.844876 | + | 0.534963i | \(0.179674\pi\) | |||||||
\(858\) | 3.58333 | + | 15.6996i | 0.122333 | + | 0.535976i | ||||
\(859\) | 38.9400 | 1.32861 | 0.664307 | − | 0.747460i | \(-0.268727\pi\) | ||||
0.664307 | + | 0.747460i | \(0.268727\pi\) | |||||||
\(860\) | −1.82347 | + | 1.25699i | −0.0621799 | + | 0.0428629i | ||||
\(861\) | 29.0202 | 0.989005 | ||||||||
\(862\) | 3.59545 | + | 15.7527i | 0.122462 | + | 0.536539i | ||||
\(863\) | −45.6356 | + | 14.0767i | −1.55345 | + | 0.479177i | −0.948418 | − | 0.317022i | \(-0.897317\pi\) |
−0.605035 | + | 0.796199i | \(0.706841\pi\) | |||||||
\(864\) | −21.9641 | + | 10.5774i | −0.747235 | + | 0.359849i | ||||
\(865\) | 1.30982 | − | 3.33736i | 0.0445351 | − | 0.113474i | ||||
\(866\) | −24.4376 | − | 42.3272i | −0.830425 | − | 1.43834i | ||||
\(867\) | −14.2902 | + | 24.7514i | −0.485321 | + | 0.840601i | ||||
\(868\) | −1.86619 | − | 2.34013i | −0.0633427 | − | 0.0794292i | ||||
\(869\) | −29.6784 | + | 20.2344i | −1.00677 | + | 0.686404i | ||||
\(870\) | −3.77913 | − | 0.569612i | −0.128124 | − | 0.0193116i | ||||
\(871\) | 15.1110 | + | 7.27709i | 0.512018 | + | 0.246575i | ||||
\(872\) | 1.57008 | − | 1.45682i | 0.0531696 | − | 0.0493342i | ||||
\(873\) | −0.0316295 | + | 0.00476738i | −0.00107050 | + | 0.000161351i | ||||
\(874\) | 91.6696 | + | 28.2763i | 3.10077 | + | 0.956461i | ||||
\(875\) | 0.990726 | − | 13.2203i | 0.0334926 | − | 0.446928i | ||||
\(876\) | −1.94337 | + | 2.43690i | −0.0656603 | + | 0.0823354i | ||||
\(877\) | −12.6609 | − | 32.2594i | −0.427527 | − | 1.08932i | −0.968661 | − | 0.248385i | \(-0.920100\pi\) |
0.541134 | − | 0.840936i | \(-0.317995\pi\) | |||||||
\(878\) | −8.36788 | − | 7.76426i | −0.282402 | − | 0.262031i | ||||
\(879\) | −36.3573 | − | 24.7880i | −1.22630 | − | 0.836079i | ||||
\(880\) | −0.622463 | − | 8.30619i | −0.0209832 | − | 0.280002i | ||||
\(881\) | 11.6579 | − | 51.0764i | 0.392763 | − | 1.72081i | −0.262081 | − | 0.965046i | \(-0.584409\pi\) |
0.654845 | − | 0.755763i | \(-0.272734\pi\) | |||||||
\(882\) | −0.127832 | + | 0.560069i | −0.00430433 | + | 0.0188585i | ||||
\(883\) | −2.16026 | − | 28.8267i | −0.0726985 | − | 0.970094i | −0.907638 | − | 0.419753i | \(-0.862117\pi\) |
0.834940 | − | 0.550341i | \(-0.185502\pi\) | |||||||
\(884\) | −0.520879 | − | 0.355129i | −0.0175190 | − | 0.0119443i | ||||
\(885\) | −2.26842 | − | 2.10479i | −0.0762522 | − | 0.0707517i | ||||
\(886\) | −2.05936 | − | 5.24715i | −0.0691854 | − | 0.176282i | ||||
\(887\) | −28.3829 | + | 35.5910i | −0.953004 | + | 1.19503i | 0.0277167 | + | 0.999616i | \(0.491176\pi\) |
−0.980721 | + | 0.195414i | \(0.937395\pi\) | |||||||
\(888\) | −1.07249 | + | 14.3114i | −0.0359906 | + | 0.480261i | ||||
\(889\) | 11.2343 | + | 3.46531i | 0.376785 | + | 0.116223i | ||||
\(890\) | 1.76313 | − | 0.265748i | 0.0591001 | − | 0.00890791i | ||||
\(891\) | 27.9691 | − | 25.9515i | 0.936999 | − | 0.869408i | ||||
\(892\) | −6.79837 | − | 3.27392i | −0.227626 | − | 0.109619i | ||||
\(893\) | −32.9830 | − | 4.97138i | −1.10373 | − | 0.166361i | ||||
\(894\) | −30.3474 | + | 20.6905i | −1.01497 | + | 0.691994i | ||||
\(895\) | 1.73726 | + | 2.17845i | 0.0580701 | + | 0.0728176i | ||||
\(896\) | −22.4159 | + | 38.8255i | −0.748862 | + | 1.29707i | ||||
\(897\) | −8.11665 | − | 14.0584i | −0.271007 | − | 0.469398i | ||||
\(898\) | 2.65750 | − | 6.77120i | 0.0886819 | − | 0.225958i | ||||
\(899\) | −3.00798 | + | 1.44856i | −0.100322 | + | 0.0483123i | ||||
\(900\) | 0.265043 | − | 0.0817551i | 0.00883478 | − | 0.00272517i | ||||
\(901\) | −1.21103 | − | 5.30587i | −0.0403452 | − | 0.176764i | ||||
\(902\) | −35.6742 | −1.18782 | ||||||||
\(903\) | −37.4221 | + | 11.7540i | −1.24533 | + | 0.391148i | ||||
\(904\) | 30.4371 | 1.01232 | ||||||||
\(905\) | 1.61227 | + | 7.06382i | 0.0535937 | + | 0.234809i | ||||
\(906\) | 2.79176 | − | 0.861144i | 0.0927501 | − | 0.0286096i | ||||
\(907\) | −19.7496 | + | 9.51092i | −0.655775 | + | 0.315805i | −0.732019 | − | 0.681284i | \(-0.761422\pi\) |
0.0762434 | + | 0.997089i | \(0.475707\pi\) | |||||||
\(908\) | −2.60859 | + | 6.64659i | −0.0865693 | + | 0.220575i | ||||
\(909\) | 0.0718375 | + | 0.124426i | 0.00238270 | + | 0.00412696i | ||||
\(910\) | 1.45881 | − | 2.52673i | 0.0483590 | − | 0.0837602i | ||||
\(911\) | −28.0122 | − | 35.1262i | −0.928087 | − | 1.16378i | −0.986214 | − | 0.165475i | \(-0.947084\pi\) |
0.0581272 | − | 0.998309i | \(-0.481487\pi\) | |||||||
\(912\) | −53.8399 | + | 36.7074i | −1.78282 | + | 1.21550i | ||||
\(913\) | 49.9446 | + | 7.52793i | 1.65292 | + | 0.249138i | ||||
\(914\) | −3.38177 | − | 1.62857i | −0.111859 | − | 0.0538684i | ||||
\(915\) | −2.61846 | + | 2.42957i | −0.0865635 | + | 0.0803192i | ||||
\(916\) | 21.4707 | − | 3.23619i | 0.709413 | − | 0.106927i | ||||
\(917\) | 5.13233 | + | 1.58311i | 0.169484 | + | 0.0522790i | ||||
\(918\) | −0.374522 | + | 4.99764i | −0.0123611 | + | 0.164947i | ||||
\(919\) | −21.8856 | + | 27.4436i | −0.721938 | + | 0.905282i | −0.998446 | − | 0.0557299i | \(-0.982251\pi\) |
0.276508 | + | 0.961012i | \(0.410823\pi\) | |||||||
\(920\) | 1.98904 | + | 5.06800i | 0.0655768 | + | 0.167087i | ||||
\(921\) | 19.9042 | + | 18.4684i | 0.655867 | + | 0.608555i | ||||
\(922\) | −21.3578 | − | 14.5615i | −0.703383 | − | 0.479558i | ||||
\(923\) | −0.729090 | − | 9.72903i | −0.0239983 | − | 0.320235i | ||||
\(924\) | −5.05736 | + | 22.1577i | −0.166375 | + | 0.728936i | ||||
\(925\) | 4.74569 | − | 20.7922i | 0.156037 | − | 0.683644i | ||||
\(926\) | 1.36249 | + | 18.1812i | 0.0447743 | + | 0.597472i | ||||
\(927\) | 0.275876 | + | 0.188089i | 0.00906095 | + | 0.00617765i | ||||
\(928\) | −11.6154 | − | 10.7775i | −0.381293 | − | 0.353788i | ||||
\(929\) | 3.19040 | + | 8.12900i | 0.104674 | + | 0.266704i | 0.973609 | − | 0.228221i | \(-0.0732908\pi\) |
−0.868936 | + | 0.494925i | \(0.835196\pi\) | |||||||
\(930\) | 0.682927 | − | 0.856363i | 0.0223941 | − | 0.0280813i | ||||
\(931\) | −2.96078 | + | 39.5089i | −0.0970357 | + | 1.29485i | ||||
\(932\) | 7.21988 | + | 2.22704i | 0.236495 | + | 0.0729491i | ||||
\(933\) | 45.7639 | − | 6.89780i | 1.49824 | − | 0.225824i | ||||
\(934\) | −18.4345 | + | 17.1047i | −0.603196 | + | 0.559684i | ||||
\(935\) | −0.847226 | − | 0.408002i | −0.0277072 | − | 0.0133431i | ||||
\(936\) | −0.157160 | − | 0.0236881i | −0.00513693 | − | 0.000774268i | ||||
\(937\) | −23.8766 | + | 16.2788i | −0.780015 | + | 0.531806i | −0.886621 | − | 0.462496i | \(-0.846954\pi\) |
0.106606 | + | 0.994301i | \(0.466002\pi\) | |||||||
\(938\) | 48.4418 | + | 60.7441i | 1.58168 | + | 1.98337i | ||||
\(939\) | 16.5088 | − | 28.5941i | 0.538744 | − | 0.933132i | ||||
\(940\) | 0.738165 | + | 1.27854i | 0.0240763 | + | 0.0417013i | ||||
\(941\) | −1.16024 | + | 2.95624i | −0.0378226 | + | 0.0963705i | −0.948537 | − | 0.316666i | \(-0.897437\pi\) |
0.910714 | + | 0.413037i | \(0.135532\pi\) | |||||||
\(942\) | −12.4689 | + | 6.00472i | −0.406260 | + | 0.195644i | ||||
\(943\) | 34.3644 | − | 10.6000i | 1.11906 | − | 0.345184i | ||||
\(944\) | −5.19869 | − | 22.7770i | −0.169203 | − | 0.741327i | ||||
\(945\) | −7.06656 | −0.229875 | ||||||||
\(946\) | 46.0026 | − | 14.4490i | 1.49567 | − | 0.469779i | ||||
\(947\) | 47.5288 | 1.54448 | 0.772239 | − | 0.635332i | \(-0.219137\pi\) | ||||
0.772239 | + | 0.635332i | \(0.219137\pi\) | |||||||
\(948\) | −2.76759 | − | 12.1256i | −0.0898871 | − | 0.393821i | ||||
\(949\) | −2.53621 | + | 0.782316i | −0.0823288 | + | 0.0253951i | ||||
\(950\) | 56.5685 | − | 27.2420i | 1.83532 | − | 0.883846i | ||||
\(951\) | 8.04974 | − | 20.5104i | 0.261031 | − | 0.665096i | ||||
\(952\) | 1.87230 | + | 3.24293i | 0.0606817 | + | 0.105104i | ||||
\(953\) | −20.3266 | + | 35.2067i | −0.658443 | + | 1.14046i | 0.322576 | + | 0.946544i | \(0.395451\pi\) |
−0.981019 | + | 0.193913i | \(0.937882\pi\) | |||||||
\(954\) | 0.667165 | + | 0.836599i | 0.0216003 | + | 0.0270859i | ||||
\(955\) | −2.23943 | + | 1.52681i | −0.0724661 | + | 0.0494065i | ||||
\(956\) | −2.91693 | − | 0.439657i | −0.0943403 | − | 0.0142195i | ||||
\(957\) | 22.8402 | + | 10.9993i | 0.738319 | + | 0.355556i | ||||
\(958\) | −42.6659 | + | 39.5881i | −1.37847 | + | 1.27903i | ||||
\(959\) | −11.0047 | + | 1.65869i | −0.355360 | + | 0.0535619i | ||||
\(960\) | −1.32228 | − | 0.407869i | −0.0426764 | − | 0.0131639i | ||||
\(961\) | −2.24513 | + | 29.9592i | −0.0724235 | + | 0.966424i | ||||
\(962\) | 5.94232 | − | 7.45143i | 0.191588 | − | 0.240244i | ||||
\(963\) | 0.244902 | + | 0.624000i | 0.00789186 | + | 0.0201081i | ||||
\(964\) | 17.3551 | + | 16.1032i | 0.558972 | + | 0.518650i | ||||
\(965\) | −1.31091 | − | 0.893761i | −0.0421996 | − | 0.0287712i | ||||
\(966\) | −5.61965 | − | 74.9890i | −0.180809 | − | 2.41273i | ||||
\(967\) | 1.68074 | − | 7.36380i | 0.0540490 | − | 0.236804i | −0.940687 | − | 0.339276i | \(-0.889818\pi\) |
0.994736 | + | 0.102472i | \(0.0326751\pi\) | |||||||
\(968\) | −3.30695 | + | 14.4887i | −0.106289 | + | 0.465684i | ||||
\(969\) | 0.549750 | + | 7.33591i | 0.0176605 | + | 0.235663i | ||||
\(970\) | 0.264791 | + | 0.180531i | 0.00850191 | + | 0.00579650i | ||||
\(971\) | 15.3469 | + | 14.2398i | 0.492505 | + | 0.456978i | 0.886899 | − | 0.461964i | \(-0.152855\pi\) |
−0.394394 | + | 0.918942i | \(0.629045\pi\) | |||||||
\(972\) | −0.217027 | − | 0.552975i | −0.00696114 | − | 0.0177367i | ||||
\(973\) | 43.7068 | − | 54.8066i | 1.40118 | − | 1.75702i | ||||
\(974\) | 0.824064 | − | 10.9964i | 0.0264047 | − | 0.352346i | ||||
\(975\) | −10.1525 | − | 3.13164i | −0.325141 | − | 0.100293i | ||||
\(976\) | −26.6665 | + | 4.01933i | −0.853575 | + | 0.128656i | ||||
\(977\) | −17.9851 | + | 16.6877i | −0.575395 | + | 0.533888i | −0.913298 | − | 0.407293i | \(-0.866473\pi\) |
0.337903 | + | 0.941181i | \(0.390282\pi\) | |||||||
\(978\) | 24.8603 | + | 11.9721i | 0.794946 | + | 0.382826i | ||||
\(979\) | −11.6951 | − | 1.76275i | −0.373777 | − | 0.0563378i | ||||
\(980\) | 1.44888 | − | 0.987828i | 0.0462827 | − | 0.0315550i | ||||
\(981\) | 0.0457163 | + | 0.0573264i | 0.00145961 | + | 0.00183029i | ||||
\(982\) | −6.91046 | + | 11.9693i | −0.220521 | + | 0.381954i | ||||
\(983\) | −0.981609 | − | 1.70020i | −0.0313085 | − | 0.0542279i | 0.849947 | − | 0.526869i | \(-0.176634\pi\) |
−0.881255 | + | 0.472641i | \(0.843301\pi\) | |||||||
\(984\) | −5.78652 | + | 14.7438i | −0.184468 | + | 0.470016i | ||||
\(985\) | −0.626440 | + | 0.301678i | −0.0199600 | + | 0.00961225i | ||||
\(986\) | −3.11271 | + | 0.960145i | −0.0991290 | + | 0.0305772i | ||||
\(987\) | 5.81823 | + | 25.4913i | 0.185196 | + | 0.811397i | ||||
\(988\) | 8.54856 | 0.271966 | ||||||||
\(989\) | −40.0203 | + | 27.5875i | −1.27257 | + | 0.877230i | ||||
\(990\) | 0.184888 | 0.00587614 | ||||||||
\(991\) | −3.67174 | − | 16.0869i | −0.116637 | − | 0.511019i | −0.999169 | − | 0.0407664i | \(-0.987020\pi\) |
0.882532 | − | 0.470252i | \(-0.155837\pi\) | |||||||
\(992\) | 4.33947 | − | 1.33855i | 0.137778 | − | 0.0424990i | ||||
\(993\) | −3.92773 | + | 1.89149i | −0.124643 | + | 0.0600247i | ||||
\(994\) | 16.5117 | − | 42.0710i | 0.523718 | − | 1.33441i | ||||
\(995\) | 4.38741 | + | 7.59922i | 0.139090 | + | 0.240912i | ||||
\(996\) | −8.74445 | + | 15.1458i | −0.277078 | + | 0.479914i | ||||
\(997\) | −20.7198 | − | 25.9819i | −0.656204 | − | 0.822854i | 0.336720 | − | 0.941605i | \(-0.390682\pi\) |
−0.992924 | + | 0.118751i | \(0.962111\pi\) | |||||||
\(998\) | −11.0607 | + | 7.54104i | −0.350120 | + | 0.238708i | ||||
\(999\) | −22.8259 | − | 3.44046i | −0.722181 | − | 0.108851i |
(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 | 43.2.g.a.17.3 | ✓ | 36 | |
3.2 | odd | 2 | 387.2.y.c.361.1 | 36 | |||
4.3 | odd | 2 | 688.2.bg.c.17.3 | 36 | |||
43.9 | even | 21 | 1849.2.a.n.1.6 | 18 | |||
43.34 | odd | 42 | 1849.2.a.o.1.13 | 18 | |||
43.38 | even | 21 | inner | 43.2.g.a.38.3 | yes | 36 | |
129.38 | odd | 42 | 387.2.y.c.253.1 | 36 | |||
172.167 | odd | 42 | 688.2.bg.c.81.3 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.2.g.a.17.3 | ✓ | 36 | 1.1 | even | 1 | trivial | |
43.2.g.a.38.3 | yes | 36 | 43.38 | even | 21 | inner | |
387.2.y.c.253.1 | 36 | 129.38 | odd | 42 | |||
387.2.y.c.361.1 | 36 | 3.2 | odd | 2 | |||
688.2.bg.c.17.3 | 36 | 4.3 | odd | 2 | |||
688.2.bg.c.81.3 | 36 | 172.167 | odd | 42 | |||
1849.2.a.n.1.6 | 18 | 43.9 | even | 21 | |||
1849.2.a.o.1.13 | 18 | 43.34 | odd | 42 |