Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,2,Mod(4,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.e (of order \(29\), degree \(28\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.41335211578\) |
Analytic rank: | \(0\) |
Dimension: | \(140\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{29})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{29}]$ |
Embedding invariants
Embedding label | 139.2 | ||
Character | \(\chi\) | \(=\) | 177.139 |
Dual form | 177.2.e.b.163.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{5}{29}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.992185 | − | 0.596978i | −0.701580 | − | 0.422127i | 0.119580 | − | 0.992825i | \(-0.461845\pi\) |
−0.821160 | + | 0.570698i | \(0.806673\pi\) | |||||||
\(3\) | 0.370138 | − | 0.928977i | 0.213699 | − | 0.536345i | ||||
\(4\) | −0.308769 | − | 0.582400i | −0.154384 | − | 0.291200i | ||||
\(5\) | −0.793835 | − | 0.0863348i | −0.355014 | − | 0.0386101i | −0.0711254 | − | 0.997467i | \(-0.522659\pi\) |
−0.283888 | + | 0.958857i | \(0.591625\pi\) | |||||||
\(6\) | −0.921824 | + | 0.700752i | −0.376333 | + | 0.286081i | ||||
\(7\) | −4.18976 | − | 1.41169i | −1.58358 | − | 0.533570i | −0.616349 | − | 0.787473i | \(-0.711389\pi\) |
−0.967230 | + | 0.253903i | \(0.918286\pi\) | |||||||
\(8\) | −0.166703 | + | 3.07465i | −0.0589383 | + | 1.08705i | ||||
\(9\) | −0.725995 | − | 0.687699i | −0.241998 | − | 0.229233i | ||||
\(10\) | 0.736091 | + | 0.559562i | 0.232772 | + | 0.176949i | ||||
\(11\) | 0.744195 | + | 1.09760i | 0.224383 | + | 0.330940i | 0.923172 | − | 0.384388i | \(-0.125588\pi\) |
−0.698789 | + | 0.715328i | \(0.746277\pi\) | |||||||
\(12\) | −0.655323 | + | 0.0712707i | −0.189176 | + | 0.0205741i | ||||
\(13\) | 2.28411 | − | 2.16363i | 0.633499 | − | 0.600082i | −0.302045 | − | 0.953294i | \(-0.597669\pi\) |
0.935543 | + | 0.353212i | \(0.114911\pi\) | |||||||
\(14\) | 3.31426 | + | 3.90185i | 0.885774 | + | 1.04281i | ||||
\(15\) | −0.374032 | + | 0.705499i | −0.0965746 | + | 0.182159i | ||||
\(16\) | 1.26104 | − | 1.85990i | 0.315260 | − | 0.464974i | ||||
\(17\) | −7.48680 | + | 2.52260i | −1.81582 | + | 0.611819i | −0.816405 | + | 0.577480i | \(0.804036\pi\) |
−0.999410 | + | 0.0343397i | \(0.989067\pi\) | |||||||
\(18\) | 0.309780 | + | 1.11573i | 0.0730159 | + | 0.262980i | ||||
\(19\) | 0.837472 | − | 5.10835i | 0.192129 | − | 1.17194i | −0.697956 | − | 0.716141i | \(-0.745907\pi\) |
0.890085 | − | 0.455795i | \(-0.150645\pi\) | |||||||
\(20\) | 0.194830 | + | 0.488987i | 0.0435654 | + | 0.109341i | ||||
\(21\) | −2.86222 | + | 3.36966i | −0.624587 | + | 0.735321i | ||||
\(22\) | −0.0831328 | − | 1.53329i | −0.0177240 | − | 0.326899i | ||||
\(23\) | 0.662011 | − | 2.38435i | 0.138039 | − | 0.497171i | −0.861912 | − | 0.507057i | \(-0.830733\pi\) |
0.999951 | + | 0.00988634i | \(0.00314697\pi\) | |||||||
\(24\) | 2.79457 | + | 1.29291i | 0.570440 | + | 0.263914i | ||||
\(25\) | −4.26038 | − | 0.937781i | −0.852076 | − | 0.187556i | ||||
\(26\) | −3.55790 | + | 0.783152i | −0.697761 | + | 0.153589i | ||||
\(27\) | −0.907575 | + | 0.419889i | −0.174663 | + | 0.0808077i | ||||
\(28\) | 0.471496 | + | 2.87600i | 0.0891045 | + | 0.543513i | ||||
\(29\) | 6.94296 | − | 4.17744i | 1.28928 | − | 0.775732i | 0.304997 | − | 0.952353i | \(-0.401345\pi\) |
0.984279 | + | 0.176622i | \(0.0565169\pi\) | |||||||
\(30\) | 0.792275 | − | 0.476696i | 0.144649 | − | 0.0870324i | ||||
\(31\) | −0.686795 | − | 4.18927i | −0.123352 | − | 0.752414i | −0.973978 | − | 0.226643i | \(-0.927225\pi\) |
0.850626 | − | 0.525771i | \(-0.176223\pi\) | |||||||
\(32\) | 3.22765 | − | 1.49327i | 0.570573 | − | 0.263975i | ||||
\(33\) | 1.29510 | − | 0.285074i | 0.225449 | − | 0.0496250i | ||||
\(34\) | 8.93422 | + | 1.96657i | 1.53221 | + | 0.337264i | ||||
\(35\) | 3.20410 | + | 1.48237i | 0.541591 | + | 0.250567i | ||||
\(36\) | −0.176351 | + | 0.635160i | −0.0293919 | + | 0.105860i | ||||
\(37\) | 0.435953 | + | 8.04068i | 0.0716702 | + | 1.32188i | 0.784319 | + | 0.620358i | \(0.213013\pi\) |
−0.712649 | + | 0.701521i | \(0.752505\pi\) | |||||||
\(38\) | −3.88050 | + | 4.56848i | −0.629500 | + | 0.741105i | ||||
\(39\) | −1.16452 | − | 2.92273i | −0.186473 | − | 0.468011i | ||||
\(40\) | 0.397784 | − | 2.42637i | 0.0628951 | − | 0.383643i | ||||
\(41\) | −1.62041 | − | 5.83619i | −0.253065 | − | 0.911459i | −0.975496 | − | 0.220016i | \(-0.929389\pi\) |
0.722431 | − | 0.691443i | \(-0.243025\pi\) | |||||||
\(42\) | 4.85146 | − | 1.63465i | 0.748597 | − | 0.252232i | ||||
\(43\) | 6.39177 | − | 9.42715i | 0.974735 | − | 1.43763i | 0.0770311 | − | 0.997029i | \(-0.475456\pi\) |
0.897704 | − | 0.440598i | \(-0.145234\pi\) | |||||||
\(44\) | 0.409461 | − | 0.772325i | 0.0617286 | − | 0.116432i | ||||
\(45\) | 0.516948 | + | 0.608599i | 0.0770621 | + | 0.0907245i | ||||
\(46\) | −2.08024 | + | 1.97051i | −0.306715 | + | 0.290536i | ||||
\(47\) | 3.69898 | − | 0.402288i | 0.539551 | − | 0.0586797i | 0.165714 | − | 0.986174i | \(-0.447007\pi\) |
0.373837 | + | 0.927494i | \(0.378042\pi\) | |||||||
\(48\) | −1.26104 | − | 1.85990i | −0.182016 | − | 0.268453i | ||||
\(49\) | 9.98853 | + | 7.59308i | 1.42693 | + | 1.08473i | ||||
\(50\) | 3.66725 | + | 3.47380i | 0.518628 | + | 0.491270i | ||||
\(51\) | −0.427717 | + | 7.88877i | −0.0598923 | + | 1.10465i | ||||
\(52\) | −1.96536 | − | 0.662206i | −0.272546 | − | 0.0918315i | ||||
\(53\) | −1.10424 | + | 0.839421i | −0.151679 | + | 0.115303i | −0.678261 | − | 0.734821i | \(-0.737266\pi\) |
0.526582 | + | 0.850124i | \(0.323473\pi\) | |||||||
\(54\) | 1.15115 | + | 0.125195i | 0.156651 | + | 0.0170368i | ||||
\(55\) | −0.496006 | − | 0.935567i | −0.0668815 | − | 0.126152i | ||||
\(56\) | 5.03891 | − | 12.6467i | 0.673352 | − | 1.68999i | ||||
\(57\) | −4.43556 | − | 2.66879i | −0.587504 | − | 0.353490i | ||||
\(58\) | −9.38254 | −1.23199 | ||||||||
\(59\) | −7.67111 | + | 0.392457i | −0.998694 | + | 0.0510936i | ||||
\(60\) | 0.526372 | 0.0679543 | ||||||||
\(61\) | 8.88976 | + | 5.34879i | 1.13822 | + | 0.684843i | 0.954522 | − | 0.298140i | \(-0.0963664\pi\) |
0.183696 | + | 0.982983i | \(0.441194\pi\) | |||||||
\(62\) | −1.81947 | + | 4.56653i | −0.231073 | + | 0.579949i | ||||
\(63\) | 2.07092 | + | 3.90618i | 0.260912 | + | 0.492132i | ||||
\(64\) | −8.56172 | − | 0.931143i | −1.07021 | − | 0.116393i | ||||
\(65\) | −2.00000 | + | 1.52036i | −0.248070 | + | 0.188578i | ||||
\(66\) | −1.45517 | − | 0.490302i | −0.179118 | − | 0.0603520i | ||||
\(67\) | −0.0694302 | + | 1.28056i | −0.00848225 | + | 0.156446i | 0.991224 | + | 0.132195i | \(0.0422027\pi\) |
−0.999706 | + | 0.0242504i | \(0.992280\pi\) | |||||||
\(68\) | 3.78085 | + | 3.58141i | 0.458495 | + | 0.434310i | ||||
\(69\) | −1.96997 | − | 1.49753i | −0.237156 | − | 0.180282i | ||||
\(70\) | −2.29411 | − | 3.38356i | −0.274199 | − | 0.404413i | ||||
\(71\) | 0.433685 | − | 0.0471661i | 0.0514689 | − | 0.00559758i | −0.0823483 | − | 0.996604i | \(-0.526242\pi\) |
0.133817 | + | 0.991006i | \(0.457276\pi\) | |||||||
\(72\) | 2.23546 | − | 2.11754i | 0.263451 | − | 0.249555i | ||||
\(73\) | −1.39656 | − | 1.64416i | −0.163455 | − | 0.192434i | 0.674337 | − | 0.738424i | \(-0.264430\pi\) |
−0.837792 | + | 0.545990i | \(0.816154\pi\) | |||||||
\(74\) | 4.36756 | − | 8.23809i | 0.507718 | − | 0.957659i | ||||
\(75\) | −2.44811 | + | 3.61069i | −0.282683 | + | 0.416926i | ||||
\(76\) | −3.23369 | + | 1.08956i | −0.370930 | + | 0.124981i | ||||
\(77\) | −1.56851 | − | 5.64927i | −0.178749 | − | 0.643794i | ||||
\(78\) | −0.589383 | + | 3.59508i | −0.0667345 | + | 0.407063i | ||||
\(79\) | −1.73950 | − | 4.36581i | −0.195709 | − | 0.491191i | 0.798070 | − | 0.602565i | \(-0.205854\pi\) |
−0.993779 | + | 0.111373i | \(0.964475\pi\) | |||||||
\(80\) | −1.16163 | + | 1.36758i | −0.129875 | + | 0.152900i | ||||
\(81\) | 0.0541389 | + | 0.998533i | 0.00601543 | + | 0.110948i | ||||
\(82\) | −1.87633 | + | 6.75792i | −0.207206 | + | 0.746288i | ||||
\(83\) | −3.34065 | − | 1.54555i | −0.366684 | − | 0.169646i | 0.227890 | − | 0.973687i | \(-0.426817\pi\) |
−0.594574 | + | 0.804041i | \(0.702679\pi\) | |||||||
\(84\) | 2.84626 | + | 0.626509i | 0.310552 | + | 0.0683577i | ||||
\(85\) | 6.16107 | − | 1.35615i | 0.668262 | − | 0.147096i | ||||
\(86\) | −11.9696 | + | 5.53773i | −1.29072 | + | 0.597149i | ||||
\(87\) | −1.31089 | − | 7.99608i | −0.140542 | − | 0.857270i | ||||
\(88\) | −3.49881 | + | 2.10516i | −0.372974 | + | 0.224411i | ||||
\(89\) | −5.98712 | + | 3.60233i | −0.634634 | + | 0.381846i | −0.796216 | − | 0.605013i | \(-0.793168\pi\) |
0.161582 | + | 0.986859i | \(0.448340\pi\) | |||||||
\(90\) | −0.149588 | − | 0.912449i | −0.0157680 | − | 0.0961806i | ||||
\(91\) | −12.6243 | + | 5.84060i | −1.32338 | + | 0.612261i | ||||
\(92\) | −1.59305 | + | 0.350658i | −0.166087 | + | 0.0365586i | ||||
\(93\) | −4.14594 | − | 0.912590i | −0.429914 | − | 0.0946312i | ||||
\(94\) | −3.91022 | − | 1.80906i | −0.403309 | − | 0.186590i | ||||
\(95\) | −1.10584 | + | 3.98289i | −0.113457 | + | 0.408635i | ||||
\(96\) | −0.192536 | − | 3.55112i | −0.0196507 | − | 0.362435i | ||||
\(97\) | −6.66777 | + | 7.84990i | −0.677009 | + | 0.797037i | −0.988177 | − | 0.153318i | \(-0.951004\pi\) |
0.311167 | + | 0.950355i | \(0.399280\pi\) | |||||||
\(98\) | −5.37756 | − | 13.4967i | −0.543216 | − | 1.36337i | ||||
\(99\) | 0.214540 | − | 1.30864i | 0.0215621 | − | 0.131523i | ||||
\(100\) | 0.769310 | + | 2.77080i | 0.0769310 | + | 0.277080i | ||||
\(101\) | 0.188243 | − | 0.0634265i | 0.0187309 | − | 0.00631117i | −0.309920 | − | 0.950762i | \(-0.600302\pi\) |
0.328651 | + | 0.944451i | \(0.393406\pi\) | |||||||
\(102\) | 5.13379 | − | 7.57178i | 0.508321 | − | 0.749718i | ||||
\(103\) | −2.88236 | + | 5.43671i | −0.284008 | + | 0.535695i | −0.983937 | − | 0.178517i | \(-0.942870\pi\) |
0.699929 | + | 0.714212i | \(0.253215\pi\) | |||||||
\(104\) | 6.27162 | + | 7.38353i | 0.614983 | + | 0.724014i | ||||
\(105\) | 2.56305 | − | 2.42785i | 0.250128 | − | 0.236934i | ||||
\(106\) | 1.59672 | − | 0.173654i | 0.155088 | − | 0.0168668i | ||||
\(107\) | −5.57926 | − | 8.22880i | −0.539368 | − | 0.795508i | 0.456168 | − | 0.889894i | \(-0.349222\pi\) |
−0.995536 | + | 0.0943857i | \(0.969911\pi\) | |||||||
\(108\) | 0.524775 | + | 0.398923i | 0.0504965 | + | 0.0383864i | ||||
\(109\) | 3.79341 | + | 3.59331i | 0.363343 | + | 0.344177i | 0.847491 | − | 0.530809i | \(-0.178112\pi\) |
−0.484148 | + | 0.874986i | \(0.660871\pi\) | |||||||
\(110\) | −0.0663829 | + | 1.22436i | −0.00632936 | + | 0.116738i | ||||
\(111\) | 7.63097 | + | 2.57117i | 0.724299 | + | 0.244045i | ||||
\(112\) | −7.90906 | + | 6.01231i | −0.747336 | + | 0.568110i | ||||
\(113\) | −7.13771 | − | 0.776273i | −0.671459 | − | 0.0730256i | −0.233963 | − | 0.972246i | \(-0.575169\pi\) |
−0.437497 | + | 0.899220i | \(0.644135\pi\) | |||||||
\(114\) | 2.80769 | + | 5.29586i | 0.262964 | + | 0.496003i | ||||
\(115\) | −0.731380 | + | 1.83563i | −0.0682015 | + | 0.171173i | ||||
\(116\) | −4.57671 | − | 2.75372i | −0.424937 | − | 0.255676i | ||||
\(117\) | −3.14618 | −0.290864 | ||||||||
\(118\) | 7.84545 | + | 4.19009i | 0.722232 | + | 0.385729i | ||||
\(119\) | 34.9290 | 3.20194 | ||||||||
\(120\) | −2.10681 | − | 1.26762i | −0.192324 | − | 0.115718i | ||||
\(121\) | 3.42061 | − | 8.58508i | 0.310964 | − | 0.780462i | ||||
\(122\) | −5.62718 | − | 10.6140i | −0.509461 | − | 0.960945i | ||||
\(123\) | −6.02146 | − | 0.654873i | −0.542936 | − | 0.0590479i | ||||
\(124\) | −2.22777 | + | 1.69350i | −0.200059 | + | 0.152081i | ||||
\(125\) | 7.08466 | + | 2.38710i | 0.633671 | + | 0.213509i | ||||
\(126\) | 0.277161 | − | 5.11194i | 0.0246915 | − | 0.455408i | ||||
\(127\) | 11.3503 | + | 10.7516i | 1.00718 | + | 0.954049i | 0.998945 | − | 0.0459172i | \(-0.0146210\pi\) |
0.00823195 | + | 0.999966i | \(0.497380\pi\) | |||||||
\(128\) | 2.27658 | + | 1.73061i | 0.201223 | + | 0.152966i | ||||
\(129\) | −6.39177 | − | 9.42715i | −0.562764 | − | 0.830014i | ||||
\(130\) | 2.89200 | − | 0.314524i | 0.253645 | − | 0.0275856i | ||||
\(131\) | 6.01093 | − | 5.69385i | 0.525177 | − | 0.497474i | −0.378551 | − | 0.925580i | \(-0.623578\pi\) |
0.903728 | + | 0.428106i | \(0.140819\pi\) | |||||||
\(132\) | −0.565915 | − | 0.666247i | −0.0492566 | − | 0.0579893i | ||||
\(133\) | −10.7202 | + | 20.2205i | −0.929562 | + | 1.75334i | ||||
\(134\) | 0.833356 | − | 1.22911i | 0.0719910 | − | 0.106179i | ||||
\(135\) | 0.756716 | − | 0.254967i | 0.0651278 | − | 0.0219441i | ||||
\(136\) | −6.50803 | − | 23.4398i | −0.558059 | − | 2.00995i | ||||
\(137\) | −1.85540 | + | 11.3174i | −0.158518 | + | 0.966914i | 0.781029 | + | 0.624494i | \(0.214695\pi\) |
−0.939547 | + | 0.342420i | \(0.888753\pi\) | |||||||
\(138\) | 1.06058 | + | 2.66186i | 0.0902826 | + | 0.226592i | ||||
\(139\) | 12.1020 | − | 14.2476i | 1.02648 | − | 1.20847i | 0.0487070 | − | 0.998813i | \(-0.484490\pi\) |
0.977775 | − | 0.209655i | \(-0.0672342\pi\) | |||||||
\(140\) | −0.125992 | − | 2.32378i | −0.0106482 | − | 0.196395i | ||||
\(141\) | 0.995416 | − | 3.58516i | 0.0838291 | − | 0.301925i | ||||
\(142\) | −0.458453 | − | 0.212103i | −0.0384725 | − | 0.0177993i | ||||
\(143\) | 4.07463 | + | 0.896894i | 0.340738 | + | 0.0750020i | ||||
\(144\) | −2.19456 | + | 0.483059i | −0.182880 | + | 0.0402550i | ||||
\(145\) | −5.87223 | + | 2.71678i | −0.487662 | + | 0.225616i | ||||
\(146\) | 0.404120 | + | 2.46502i | 0.0334452 | + | 0.204007i | ||||
\(147\) | 10.7509 | − | 6.46862i | 0.886722 | − | 0.533523i | ||||
\(148\) | 4.54828 | − | 2.73661i | 0.373866 | − | 0.224948i | ||||
\(149\) | 2.87916 | + | 17.5621i | 0.235870 | + | 1.43874i | 0.793458 | + | 0.608625i | \(0.208278\pi\) |
−0.557588 | + | 0.830118i | \(0.688273\pi\) | |||||||
\(150\) | 4.58447 | − | 2.12100i | 0.374321 | − | 0.173179i | ||||
\(151\) | 12.4650 | − | 2.74375i | 1.01439 | − | 0.223283i | 0.323485 | − | 0.946233i | \(-0.395145\pi\) |
0.690900 | + | 0.722950i | \(0.257214\pi\) | |||||||
\(152\) | 15.5668 | + | 3.42651i | 1.26263 | + | 0.277926i | ||||
\(153\) | 7.17017 | + | 3.31727i | 0.579674 | + | 0.268186i | ||||
\(154\) | −1.81623 | + | 6.54149i | −0.146356 | + | 0.527128i | ||||
\(155\) | 0.183523 | + | 3.38488i | 0.0147409 | + | 0.271880i | ||||
\(156\) | −1.34263 | + | 1.58066i | −0.107496 | + | 0.126554i | ||||
\(157\) | −7.26263 | − | 18.2278i | −0.579621 | − | 1.45474i | −0.867678 | − | 0.497126i | \(-0.834389\pi\) |
0.288057 | − | 0.957613i | \(-0.406991\pi\) | |||||||
\(158\) | −0.880387 | + | 5.37013i | −0.0700399 | + | 0.427224i | ||||
\(159\) | 0.371081 | + | 1.33651i | 0.0294287 | + | 0.105992i | ||||
\(160\) | −2.69114 | + | 0.906750i | −0.212753 | + | 0.0716849i | ||||
\(161\) | −6.13964 | + | 9.05528i | −0.483871 | + | 0.713656i | ||||
\(162\) | 0.542386 | − | 1.02305i | 0.0426139 | − | 0.0803783i | ||||
\(163\) | −7.48651 | − | 8.81380i | −0.586388 | − | 0.690350i | 0.386324 | − | 0.922363i | \(-0.373745\pi\) |
−0.972713 | + | 0.232013i | \(0.925469\pi\) | |||||||
\(164\) | −2.89866 | + | 2.74576i | −0.226347 | + | 0.214408i | ||||
\(165\) | −1.05271 | + | 0.114489i | −0.0819534 | + | 0.00891297i | ||||
\(166\) | 2.39188 | + | 3.52777i | 0.185646 | + | 0.273808i | ||||
\(167\) | −3.21429 | − | 2.44344i | −0.248729 | − | 0.189079i | 0.473380 | − | 0.880858i | \(-0.343034\pi\) |
−0.722109 | + | 0.691780i | \(0.756827\pi\) | |||||||
\(168\) | −9.88340 | − | 9.36205i | −0.762521 | − | 0.722298i | ||||
\(169\) | −0.167915 | + | 3.09700i | −0.0129165 | + | 0.238231i | ||||
\(170\) | −6.92251 | − | 2.33247i | −0.530933 | − | 0.178892i | ||||
\(171\) | −4.12101 | + | 3.13271i | −0.315142 | + | 0.239564i | ||||
\(172\) | −7.46395 | − | 0.811754i | −0.569121 | − | 0.0618956i | ||||
\(173\) | −3.10214 | − | 5.85125i | −0.235851 | − | 0.444862i | 0.737129 | − | 0.675752i | \(-0.236181\pi\) |
−0.972980 | + | 0.230890i | \(0.925836\pi\) | |||||||
\(174\) | −3.47284 | + | 8.71616i | −0.263275 | + | 0.660771i | ||||
\(175\) | 16.5261 | + | 9.94343i | 1.24926 | + | 0.751652i | ||||
\(176\) | 2.97989 | 0.224618 | ||||||||
\(177\) | −2.47479 | + | 7.27155i | −0.186016 | + | 0.546563i | ||||
\(178\) | 8.09084 | 0.606434 | ||||||||
\(179\) | 7.43790 | + | 4.47524i | 0.555935 | + | 0.334495i | 0.765639 | − | 0.643270i | \(-0.222423\pi\) |
−0.209705 | + | 0.977765i | \(0.567250\pi\) | |||||||
\(180\) | 0.194830 | − | 0.488987i | 0.0145218 | − | 0.0364469i | ||||
\(181\) | 3.00529 | + | 5.66857i | 0.223381 | + | 0.421341i | 0.969718 | − | 0.244227i | \(-0.0785341\pi\) |
−0.746337 | + | 0.665568i | \(0.768189\pi\) | |||||||
\(182\) | 16.0123 | + | 1.74144i | 1.18691 | + | 0.129084i | ||||
\(183\) | 8.25935 | − | 6.27859i | 0.610548 | − | 0.464127i | ||||
\(184\) | 7.22068 | + | 2.43293i | 0.532315 | + | 0.179358i | ||||
\(185\) | 0.348115 | − | 6.42061i | 0.0255940 | − | 0.472053i | ||||
\(186\) | 3.56874 | + | 3.38049i | 0.261673 | + | 0.247870i | ||||
\(187\) | −8.34045 | − | 6.34024i | −0.609914 | − | 0.463645i | ||||
\(188\) | −1.37642 | − | 2.03007i | −0.100386 | − | 0.148058i | ||||
\(189\) | 4.39527 | − | 0.478015i | 0.319709 | − | 0.0347705i | ||||
\(190\) | 3.47489 | − | 3.29159i | 0.252095 | − | 0.238797i | ||||
\(191\) | −16.4433 | − | 19.3585i | −1.18979 | − | 1.40073i | −0.895526 | − | 0.445009i | \(-0.853201\pi\) |
−0.294266 | − | 0.955723i | \(-0.595075\pi\) | |||||||
\(192\) | −4.03403 | + | 7.60898i | −0.291131 | + | 0.549131i | ||||
\(193\) | 0.407806 | − | 0.601468i | 0.0293545 | − | 0.0432946i | −0.812729 | − | 0.582642i | \(-0.802019\pi\) |
0.842083 | + | 0.539348i | \(0.181329\pi\) | |||||||
\(194\) | 11.3019 | − | 3.80805i | 0.811427 | − | 0.273402i | ||||
\(195\) | 0.672105 | + | 2.42070i | 0.0481304 | + | 0.173350i | ||||
\(196\) | 1.33806 | − | 8.16183i | 0.0955760 | − | 0.582988i | ||||
\(197\) | −0.971271 | − | 2.43771i | −0.0692002 | − | 0.173679i | 0.890309 | − | 0.455357i | \(-0.150488\pi\) |
−0.959509 | + | 0.281678i | \(0.909109\pi\) | |||||||
\(198\) | −0.994092 | + | 1.17034i | −0.0706470 | + | 0.0831721i | ||||
\(199\) | 0.0527440 | + | 0.972806i | 0.00373892 | + | 0.0689604i | 0.999807 | − | 0.0196264i | \(-0.00624769\pi\) |
−0.996068 | + | 0.0885868i | \(0.971765\pi\) | |||||||
\(200\) | 3.59356 | − | 12.9429i | 0.254103 | − | 0.915198i | ||||
\(201\) | 1.16392 | + | 0.538485i | 0.0820963 | + | 0.0379818i | ||||
\(202\) | −0.224636 | − | 0.0494461i | −0.0158053 | − | 0.00347902i | ||||
\(203\) | −34.9866 | + | 7.70113i | −2.45558 | + | 0.540513i | ||||
\(204\) | 4.72649 | − | 2.18670i | 0.330920 | − | 0.153100i | ||||
\(205\) | 0.782472 | + | 4.77287i | 0.0546502 | + | 0.333351i | ||||
\(206\) | 6.10543 | − | 3.67352i | 0.425386 | − | 0.255946i | ||||
\(207\) | −2.12033 | + | 1.27576i | −0.147373 | + | 0.0886716i | ||||
\(208\) | −1.14376 | − | 6.97664i | −0.0793056 | − | 0.483743i | ||||
\(209\) | 6.23019 | − | 2.88239i | 0.430951 | − | 0.199379i | ||||
\(210\) | −3.99239 | + | 0.878791i | −0.275501 | + | 0.0606424i | ||||
\(211\) | −3.55199 | − | 0.781851i | −0.244529 | − | 0.0538248i | 0.0910148 | − | 0.995850i | \(-0.470989\pi\) |
−0.335544 | + | 0.942025i | \(0.608920\pi\) | |||||||
\(212\) | 0.829833 | + | 0.383922i | 0.0569932 | + | 0.0263679i | ||||
\(213\) | 0.116707 | − | 0.420341i | 0.00799664 | − | 0.0288013i | ||||
\(214\) | 0.623251 | + | 11.4952i | 0.0426045 | + | 0.785795i | ||||
\(215\) | −5.88790 | + | 6.93177i | −0.401551 | + | 0.472743i | ||||
\(216\) | −1.13972 | − | 2.86047i | −0.0775479 | − | 0.194631i | ||||
\(217\) | −3.03645 | + | 18.5215i | −0.206128 | + | 1.25732i | ||||
\(218\) | −1.61864 | − | 5.82981i | −0.109628 | − | 0.394845i | ||||
\(219\) | −2.04430 | + | 0.688806i | −0.138141 | + | 0.0465452i | ||||
\(220\) | −0.391723 | + | 0.577748i | −0.0264100 | + | 0.0389518i | ||||
\(221\) | −11.6427 | + | 21.9605i | −0.783175 | + | 1.47722i | ||||
\(222\) | −6.03639 | − | 7.10659i | −0.405136 | − | 0.476963i | ||||
\(223\) | 3.70796 | − | 3.51237i | 0.248304 | − | 0.235206i | −0.553417 | − | 0.832904i | \(-0.686677\pi\) |
0.801721 | + | 0.597698i | \(0.203918\pi\) | |||||||
\(224\) | −15.6311 | + | 1.69998i | −1.04440 | + | 0.113585i | ||||
\(225\) | 2.44811 | + | 3.61069i | 0.163207 | + | 0.240712i | ||||
\(226\) | 6.61851 | + | 5.03126i | 0.440257 | + | 0.334674i | ||||
\(227\) | 9.29992 | + | 8.80935i | 0.617257 | + | 0.584697i | 0.931094 | − | 0.364780i | \(-0.118856\pi\) |
−0.313836 | + | 0.949477i | \(0.601614\pi\) | |||||||
\(228\) | −0.184739 | + | 3.40731i | −0.0122346 | + | 0.225655i | ||||
\(229\) | 20.8942 | + | 7.04007i | 1.38073 | + | 0.465221i | 0.909100 | − | 0.416578i | \(-0.136771\pi\) |
0.471626 | + | 0.881799i | \(0.343667\pi\) | |||||||
\(230\) | 1.82149 | − | 1.38466i | 0.120106 | − | 0.0913019i | ||||
\(231\) | −5.82861 | − | 0.633899i | −0.383494 | − | 0.0417075i | ||||
\(232\) | 11.6868 | + | 22.0436i | 0.767273 | + | 1.44723i | ||||
\(233\) | 4.30895 | − | 10.8147i | 0.282289 | − | 0.708492i | −0.717638 | − | 0.696416i | \(-0.754777\pi\) |
0.999927 | − | 0.0120755i | \(-0.00384385\pi\) | |||||||
\(234\) | 3.12159 | + | 1.87820i | 0.204065 | + | 0.122782i | ||||
\(235\) | −2.97111 | −0.193814 | ||||||||
\(236\) | 2.59717 | + | 4.34648i | 0.169061 | + | 0.282932i | ||||
\(237\) | −4.69959 | −0.305271 | ||||||||
\(238\) | −34.6560 | − | 20.8518i | −2.24642 | − | 1.35162i | ||||
\(239\) | −4.80006 | + | 12.0472i | −0.310490 | + | 0.779271i | 0.688071 | + | 0.725643i | \(0.258458\pi\) |
−0.998561 | + | 0.0536279i | \(0.982922\pi\) | |||||||
\(240\) | 0.840486 | + | 1.58532i | 0.0542531 | + | 0.102332i | ||||
\(241\) | −14.3385 | − | 1.55941i | −0.923624 | − | 0.100450i | −0.366066 | − | 0.930589i | \(-0.619296\pi\) |
−0.557557 | + | 0.830139i | \(0.688261\pi\) | |||||||
\(242\) | −8.51898 | + | 6.47596i | −0.547621 | + | 0.416290i | ||||
\(243\) | 0.947653 | + | 0.319302i | 0.0607920 | + | 0.0204832i | ||||
\(244\) | 0.370254 | − | 6.82894i | 0.0237031 | − | 0.437178i | ||||
\(245\) | −7.27370 | − | 6.89001i | −0.464699 | − | 0.440187i | ||||
\(246\) | 5.58345 | + | 4.24443i | 0.355988 | + | 0.270615i | ||||
\(247\) | −9.13968 | − | 13.4800i | −0.581544 | − | 0.857713i | ||||
\(248\) | 12.9950 | − | 1.41329i | 0.825184 | − | 0.0897442i | ||||
\(249\) | −2.67228 | + | 2.53132i | −0.169349 | + | 0.160416i | ||||
\(250\) | −5.60424 | − | 6.59783i | −0.354444 | − | 0.417283i | ||||
\(251\) | 3.75643 | − | 7.08538i | 0.237104 | − | 0.447225i | −0.736194 | − | 0.676770i | \(-0.763379\pi\) |
0.973298 | + | 0.229545i | \(0.0737238\pi\) | |||||||
\(252\) | 1.63552 | − | 2.41221i | 0.103028 | − | 0.151955i | ||||
\(253\) | 3.10974 | − | 1.04779i | 0.195508 | − | 0.0658742i | ||||
\(254\) | −4.84315 | − | 17.4434i | −0.303886 | − | 1.09450i | ||||
\(255\) | 1.02061 | − | 6.22546i | 0.0639132 | − | 0.389853i | ||||
\(256\) | 5.14976 | + | 12.9249i | 0.321860 | + | 0.807807i | ||||
\(257\) | 16.5510 | − | 19.4853i | 1.03242 | − | 1.21546i | 0.0562614 | − | 0.998416i | \(-0.482082\pi\) |
0.976161 | − | 0.217046i | \(-0.0696421\pi\) | |||||||
\(258\) | 0.714014 | + | 13.1692i | 0.0444526 | + | 0.819880i | ||||
\(259\) | 9.52443 | − | 34.3039i | 0.591820 | − | 2.13154i | ||||
\(260\) | 1.50300 | + | 0.695362i | 0.0932121 | + | 0.0431245i | ||||
\(261\) | −7.91338 | − | 1.74187i | −0.489826 | − | 0.107819i | ||||
\(262\) | −9.36305 | + | 2.06096i | −0.578451 | + | 0.127327i | ||||
\(263\) | 20.8210 | − | 9.63280i | 1.28388 | − | 0.593984i | 0.345117 | − | 0.938560i | \(-0.387839\pi\) |
0.938758 | + | 0.344576i | \(0.111977\pi\) | |||||||
\(264\) | 0.660605 | + | 4.02951i | 0.0406574 | + | 0.247999i | ||||
\(265\) | 0.949055 | − | 0.571027i | 0.0583000 | − | 0.0350779i | ||||
\(266\) | 22.7076 | − | 13.6627i | 1.39229 | − | 0.837715i | ||||
\(267\) | 1.13042 | + | 6.89526i | 0.0691806 | + | 0.421983i | ||||
\(268\) | 0.767238 | − | 0.354962i | 0.0468665 | − | 0.0216828i | ||||
\(269\) | −29.4845 | + | 6.49003i | −1.79770 | + | 0.395704i | −0.982916 | − | 0.184056i | \(-0.941077\pi\) |
−0.814787 | + | 0.579760i | \(0.803146\pi\) | |||||||
\(270\) | −0.903012 | − | 0.198768i | −0.0549556 | − | 0.0120966i | ||||
\(271\) | 6.39160 | + | 2.95707i | 0.388262 | + | 0.179629i | 0.604302 | − | 0.796755i | \(-0.293452\pi\) |
−0.216040 | + | 0.976384i | \(0.569314\pi\) | |||||||
\(272\) | −4.74940 | + | 17.1058i | −0.287974 | + | 1.03719i | ||||
\(273\) | 0.753065 | + | 13.8895i | 0.0455776 | + | 0.840629i | ||||
\(274\) | 8.59716 | − | 10.1214i | 0.519373 | − | 0.611454i | ||||
\(275\) | −2.14124 | − | 5.37411i | −0.129122 | − | 0.324071i | ||||
\(276\) | −0.263897 | + | 1.60970i | −0.0158847 | + | 0.0968926i | ||||
\(277\) | −4.24669 | − | 15.2952i | −0.255159 | − | 0.919000i | −0.974508 | − | 0.224351i | \(-0.927974\pi\) |
0.719349 | − | 0.694649i | \(-0.244440\pi\) | |||||||
\(278\) | −20.5130 | + | 6.91163i | −1.23029 | + | 0.414532i | ||||
\(279\) | −2.38235 | + | 3.51370i | −0.142627 | + | 0.210360i | ||||
\(280\) | −5.09191 | + | 9.60436i | −0.304300 | + | 0.573970i | ||||
\(281\) | 6.91504 | + | 8.14101i | 0.412517 | + | 0.485652i | 0.928703 | − | 0.370824i | \(-0.120925\pi\) |
−0.516187 | + | 0.856476i | \(0.672649\pi\) | |||||||
\(282\) | −3.12790 | + | 2.96290i | −0.186264 | + | 0.176438i | ||||
\(283\) | −4.66278 | + | 0.507108i | −0.277174 | + | 0.0301445i | −0.245650 | − | 0.969359i | \(-0.579001\pi\) |
−0.0315236 | + | 0.999503i | \(0.510036\pi\) | |||||||
\(284\) | −0.161378 | − | 0.238015i | −0.00957602 | − | 0.0141236i | ||||
\(285\) | 3.29069 | + | 2.50152i | 0.194924 | + | 0.148177i | ||||
\(286\) | −3.50736 | − | 3.32235i | −0.207395 | − | 0.196455i | ||||
\(287\) | −1.44979 | + | 26.7397i | −0.0855781 | + | 1.57840i | ||||
\(288\) | −3.37018 | − | 1.13554i | −0.198590 | − | 0.0669126i | ||||
\(289\) | 36.1551 | − | 27.4844i | 2.12677 | − | 1.61673i | ||||
\(290\) | 7.44819 | + | 0.810040i | 0.437373 | + | 0.0475672i | ||||
\(291\) | 4.82438 | + | 9.09975i | 0.282810 | + | 0.533437i | ||||
\(292\) | −0.526342 | + | 1.32102i | −0.0308019 | + | 0.0773068i | ||||
\(293\) | −8.14496 | − | 4.90066i | −0.475834 | − | 0.286300i | 0.257365 | − | 0.966314i | \(-0.417146\pi\) |
−0.733198 | + | 0.680015i | \(0.761973\pi\) | |||||||
\(294\) | −14.5285 | −0.847321 | ||||||||
\(295\) | 6.12348 | + | 0.350737i | 0.356523 | + | 0.0204207i | ||||
\(296\) | −24.7949 | −1.44118 | ||||||||
\(297\) | −1.13629 | − | 0.683680i | −0.0659339 | − | 0.0396711i | ||||
\(298\) | 7.62752 | − | 19.1436i | 0.441850 | − | 1.10896i | ||||
\(299\) | −3.64673 | − | 6.87847i | −0.210896 | − | 0.397792i | ||||
\(300\) | 2.85876 | + | 0.310909i | 0.165051 | + | 0.0179504i | ||||
\(301\) | −40.0882 | + | 30.4743i | −2.31065 | + | 1.75651i | ||||
\(302\) | −14.0055 | − | 4.71901i | −0.805927 | − | 0.271548i | ||||
\(303\) | 0.0107542 | − | 0.198350i | 0.000617814 | − | 0.0113949i | ||||
\(304\) | −8.44492 | − | 7.99946i | −0.484350 | − | 0.458800i | ||||
\(305\) | −6.59522 | − | 5.01356i | −0.377641 | − | 0.287075i | ||||
\(306\) | −5.13379 | − | 7.57178i | −0.293479 | − | 0.432850i | ||||
\(307\) | −9.36164 | + | 1.01814i | −0.534297 | + | 0.0581083i | −0.371291 | − | 0.928517i | \(-0.621085\pi\) |
−0.163006 | + | 0.986625i | \(0.552119\pi\) | |||||||
\(308\) | −2.80583 | + | 2.65782i | −0.159877 | + | 0.151443i | ||||
\(309\) | 3.98371 | + | 4.68998i | 0.226625 | + | 0.266804i | ||||
\(310\) | 1.83861 | − | 3.46799i | 0.104426 | − | 0.196968i | ||||
\(311\) | 10.1967 | − | 15.0390i | 0.578203 | − | 0.852785i | −0.420306 | − | 0.907383i | \(-0.638077\pi\) |
0.998508 | + | 0.0545974i | \(0.0173875\pi\) | |||||||
\(312\) | 9.18049 | − | 3.09327i | 0.519743 | − | 0.175122i | ||||
\(313\) | −5.64119 | − | 20.3177i | −0.318859 | − | 1.14843i | −0.933192 | − | 0.359379i | \(-0.882989\pi\) |
0.614333 | − | 0.789047i | \(-0.289425\pi\) | |||||||
\(314\) | −3.67574 | + | 22.4210i | −0.207434 | + | 1.26529i | ||||
\(315\) | −1.30673 | − | 3.27965i | −0.0736261 | − | 0.184787i | ||||
\(316\) | −2.00554 | + | 2.36111i | −0.112821 | + | 0.132823i | ||||
\(317\) | −0.181796 | − | 3.35302i | −0.0102107 | − | 0.188324i | −0.999189 | − | 0.0402646i | \(-0.987180\pi\) |
0.988978 | − | 0.148060i | \(-0.0473028\pi\) | |||||||
\(318\) | 0.429688 | − | 1.54760i | 0.0240957 | − | 0.0867849i | ||||
\(319\) | 9.75210 | + | 4.51180i | 0.546013 | + | 0.252612i | ||||
\(320\) | 6.71620 | + | 1.47835i | 0.375447 | + | 0.0826422i | ||||
\(321\) | −9.70946 | + | 2.13721i | −0.541929 | + | 0.119288i | ||||
\(322\) | 11.4975 | − | 5.31929i | 0.640728 | − | 0.296432i | ||||
\(323\) | 6.61633 | + | 40.3578i | 0.368142 | + | 2.24557i | ||||
\(324\) | 0.564829 | − | 0.339847i | 0.0313794 | − | 0.0188804i | ||||
\(325\) | −11.7602 | + | 7.07588i | −0.652338 | + | 0.392499i | ||||
\(326\) | 2.16636 | + | 13.2142i | 0.119983 | + | 0.731866i | ||||
\(327\) | 4.74219 | − | 2.19397i | 0.262244 | − | 0.121327i | ||||
\(328\) | 18.2143 | − | 4.00928i | 1.00572 | − | 0.221376i | ||||
\(329\) | −16.0657 | − | 3.53633i | −0.885731 | − | 0.194964i | ||||
\(330\) | 1.11283 | + | 0.514851i | 0.0612593 | + | 0.0283416i | ||||
\(331\) | −2.94133 | + | 10.5937i | −0.161670 | + | 0.582282i | 0.837678 | + | 0.546165i | \(0.183913\pi\) |
−0.999348 | + | 0.0361174i | \(0.988501\pi\) | |||||||
\(332\) | 0.131361 | + | 2.42281i | 0.00720938 | + | 0.132969i | ||||
\(333\) | 5.21307 | − | 6.13730i | 0.285674 | − | 0.336322i | ||||
\(334\) | 1.73049 | + | 4.34320i | 0.0946881 | + | 0.237649i | ||||
\(335\) | 0.165673 | − | 1.01056i | 0.00905170 | − | 0.0552129i | ||||
\(336\) | 2.65785 | + | 9.57272i | 0.144998 | + | 0.522235i | ||||
\(337\) | 25.2273 | − | 8.50006i | 1.37422 | − | 0.463028i | 0.467212 | − | 0.884146i | \(-0.345259\pi\) |
0.907006 | + | 0.421118i | \(0.138362\pi\) | |||||||
\(338\) | 2.01544 | − | 2.97256i | 0.109626 | − | 0.161686i | ||||
\(339\) | −3.36308 | + | 6.34344i | −0.182657 | + | 0.344528i | ||||
\(340\) | −2.69217 | − | 3.16947i | −0.146004 | − | 0.171889i | ||||
\(341\) | 4.08705 | − | 3.87146i | 0.221326 | − | 0.209651i | ||||
\(342\) | 5.95896 | − | 0.648076i | 0.322224 | − | 0.0350439i | ||||
\(343\) | −13.7626 | − | 20.2983i | −0.743110 | − | 1.09601i | ||||
\(344\) | 27.9197 | + | 21.2240i | 1.50533 | + | 1.14432i | ||||
\(345\) | 1.43454 | + | 1.35887i | 0.0772331 | + | 0.0731591i | ||||
\(346\) | −0.415173 | + | 7.65742i | −0.0223199 | + | 0.411666i | ||||
\(347\) | −8.50773 | − | 2.86659i | −0.456719 | − | 0.153886i | 0.0815329 | − | 0.996671i | \(-0.474018\pi\) |
−0.538252 | + | 0.842784i | \(0.680915\pi\) | |||||||
\(348\) | −4.25216 | + | 3.23240i | −0.227939 | + | 0.173275i | ||||
\(349\) | 21.2727 | + | 2.31354i | 1.13870 | + | 0.123841i | 0.657982 | − | 0.753034i | \(-0.271410\pi\) |
0.480718 | + | 0.876875i | \(0.340376\pi\) | |||||||
\(350\) | −10.4609 | − | 19.7314i | −0.559161 | − | 1.05469i | ||||
\(351\) | −1.16452 | + | 2.92273i | −0.0621575 | + | 0.156004i | ||||
\(352\) | 4.04101 | + | 2.43140i | 0.215387 | + | 0.129594i | ||||
\(353\) | 8.75208 | 0.465826 | 0.232913 | − | 0.972498i | \(-0.425174\pi\) | ||||
0.232913 | + | 0.972498i | \(0.425174\pi\) | |||||||
\(354\) | 6.79640 | − | 5.73733i | 0.361225 | − | 0.304935i | ||||
\(355\) | −0.348346 | −0.0184883 | ||||||||
\(356\) | 3.94664 | + | 2.37461i | 0.209171 | + | 0.125854i | ||||
\(357\) | 12.9286 | − | 32.4482i | 0.684252 | − | 1.71734i | ||||
\(358\) | −4.70815 | − | 8.88052i | −0.248834 | − | 0.469350i | ||||
\(359\) | 1.85696 | + | 0.201956i | 0.0980065 | + | 0.0106588i | 0.156991 | − | 0.987600i | \(-0.449821\pi\) |
−0.0589844 | + | 0.998259i | \(0.518786\pi\) | |||||||
\(360\) | −1.95740 | + | 1.48798i | −0.103164 | + | 0.0784234i | ||||
\(361\) | −7.38848 | − | 2.48947i | −0.388868 | − | 0.131025i | ||||
\(362\) | 0.402212 | − | 7.41836i | 0.0211398 | − | 0.389900i | ||||
\(363\) | −6.70924 | − | 6.35533i | −0.352144 | − | 0.333568i | ||||
\(364\) | 7.29954 | + | 5.54897i | 0.382600 | + | 0.290845i | ||||
\(365\) | 0.966689 | + | 1.42576i | 0.0505988 | + | 0.0746277i | ||||
\(366\) | −11.9430 | + | 1.29888i | −0.624269 | + | 0.0678934i | ||||
\(367\) | −8.22928 | + | 7.79518i | −0.429565 | + | 0.406905i | −0.871698 | − | 0.490044i | \(-0.836981\pi\) |
0.442133 | + | 0.896950i | \(0.354222\pi\) | |||||||
\(368\) | −3.59982 | − | 4.23804i | −0.187654 | − | 0.220923i | ||||
\(369\) | −2.83713 | + | 5.35140i | −0.147695 | + | 0.278583i | ||||
\(370\) | −4.17836 | + | 6.16261i | −0.217222 | + | 0.320379i | ||||
\(371\) | 5.81150 | − | 1.95812i | 0.301718 | − | 0.101661i | ||||
\(372\) | 0.748645 | + | 2.69637i | 0.0388154 | + | 0.139800i | ||||
\(373\) | −2.72783 | + | 16.6390i | −0.141242 | + | 0.861537i | 0.817222 | + | 0.576323i | \(0.195513\pi\) |
−0.958464 | + | 0.285214i | \(0.907935\pi\) | |||||||
\(374\) | 4.49028 | + | 11.2698i | 0.232187 | + | 0.582745i | ||||
\(375\) | 4.83986 | − | 5.69793i | 0.249929 | − | 0.294240i | ||||
\(376\) | 0.620265 | + | 11.4401i | 0.0319877 | + | 0.589979i | ||||
\(377\) | 6.82008 | − | 24.5637i | 0.351252 | − | 1.26510i | ||||
\(378\) | −4.64629 | − | 2.14960i | −0.238979 | − | 0.110564i | ||||
\(379\) | 7.93556 | + | 1.74675i | 0.407622 | + | 0.0897244i | 0.414048 | − | 0.910255i | \(-0.364114\pi\) |
−0.00642610 | + | 0.999979i | \(0.502046\pi\) | |||||||
\(380\) | 2.66108 | − | 0.585749i | 0.136511 | − | 0.0300483i | ||||
\(381\) | 14.1892 | − | 6.56460i | 0.726932 | − | 0.336315i | ||||
\(382\) | 4.75816 | + | 29.0235i | 0.243448 | + | 1.48497i | ||||
\(383\) | 24.6615 | − | 14.8383i | 1.26014 | − | 0.758204i | 0.280676 | − | 0.959802i | \(-0.409441\pi\) |
0.979468 | + | 0.201599i | \(0.0646137\pi\) | |||||||
\(384\) | 2.45035 | − | 1.47432i | 0.125044 | − | 0.0752363i | ||||
\(385\) | 0.757412 | + | 4.62001i | 0.0386013 | + | 0.235457i | ||||
\(386\) | −0.763682 | + | 0.353317i | −0.0388704 | + | 0.0179833i | ||||
\(387\) | −11.1234 | + | 2.44845i | −0.565436 | + | 0.124462i | ||||
\(388\) | 6.63058 | + | 1.45950i | 0.336617 | + | 0.0740950i | ||||
\(389\) | −3.20473 | − | 1.48267i | −0.162486 | − | 0.0751742i | 0.336960 | − | 0.941519i | \(-0.390601\pi\) |
−0.499447 | + | 0.866345i | \(0.666463\pi\) | |||||||
\(390\) | 0.778253 | − | 2.80302i | 0.0394084 | − | 0.141936i | ||||
\(391\) | 1.05840 | + | 19.5211i | 0.0535258 | + | 0.987226i | ||||
\(392\) | −25.0112 | + | 29.4454i | −1.26326 | + | 1.48722i | ||||
\(393\) | −3.06458 | − | 7.69152i | −0.154588 | − | 0.387986i | ||||
\(394\) | −0.491576 | + | 2.99848i | −0.0247652 | + | 0.151061i | ||||
\(395\) | 1.00395 | + | 3.61591i | 0.0505143 | + | 0.181936i | ||||
\(396\) | −0.828394 | + | 0.279119i | −0.0416284 | + | 0.0140262i | ||||
\(397\) | −4.77515 | + | 7.04282i | −0.239658 | + | 0.353469i | −0.928429 | − | 0.371510i | \(-0.878840\pi\) |
0.688771 | + | 0.724979i | \(0.258151\pi\) | |||||||
\(398\) | 0.528412 | − | 0.996690i | 0.0264869 | − | 0.0499595i | ||||
\(399\) | 14.8164 | + | 17.4432i | 0.741748 | + | 0.873253i | ||||
\(400\) | −7.11670 | + | 6.74129i | −0.355835 | + | 0.337065i | ||||
\(401\) | 24.9046 | − | 2.70854i | 1.24368 | − | 0.135258i | 0.537482 | − | 0.843275i | \(-0.319376\pi\) |
0.706195 | + | 0.708017i | \(0.250410\pi\) | |||||||
\(402\) | −0.833356 | − | 1.22911i | −0.0415640 | − | 0.0613023i | ||||
\(403\) | −10.6327 | − | 8.08278i | −0.529654 | − | 0.402632i | ||||
\(404\) | −0.0950632 | − | 0.0900486i | −0.00472957 | − | 0.00448009i | ||||
\(405\) | 0.0432308 | − | 0.797345i | 0.00214816 | − | 0.0396204i | ||||
\(406\) | 39.3106 | + | 13.2453i | 1.95095 | + | 0.657352i | ||||
\(407\) | −8.50105 | + | 6.46233i | −0.421382 | + | 0.320326i | ||||
\(408\) | −24.1839 | − | 2.63016i | −1.19728 | − | 0.130212i | ||||
\(409\) | −7.67640 | − | 14.4792i | −0.379574 | − | 0.715952i | 0.617955 | − | 0.786214i | \(-0.287961\pi\) |
−0.997529 | + | 0.0702616i | \(0.977617\pi\) | |||||||
\(410\) | 2.07294 | − | 5.20268i | 0.102375 | − | 0.256942i | ||||
\(411\) | 9.82689 | + | 5.91264i | 0.484725 | + | 0.291649i | ||||
\(412\) | 4.05633 | 0.199841 | ||||||||
\(413\) | 32.6941 | + | 9.18496i | 1.60877 | + | 0.451962i | ||||
\(414\) | 2.86536 | 0.140825 | ||||||||
\(415\) | 2.51849 | + | 1.51533i | 0.123628 | + | 0.0743845i | ||||
\(416\) | 4.14143 | − | 10.3942i | 0.203050 | − | 0.509618i | ||||
\(417\) | −8.75629 | − | 16.5161i | −0.428797 | − | 0.808798i | ||||
\(418\) | −7.90223 | − | 0.859419i | −0.386511 | − | 0.0420356i | ||||
\(419\) | −17.9264 | + | 13.6273i | −0.875760 | + | 0.665735i | −0.943286 | − | 0.331982i | \(-0.892283\pi\) |
0.0675257 | + | 0.997718i | \(0.478490\pi\) | |||||||
\(420\) | −2.20537 | − | 0.743075i | −0.107611 | − | 0.0362584i | ||||
\(421\) | 1.51998 | − | 28.0343i | 0.0740791 | − | 1.36631i | −0.691225 | − | 0.722640i | \(-0.742928\pi\) |
0.765304 | − | 0.643669i | \(-0.222589\pi\) | |||||||
\(422\) | 3.05748 | + | 2.89620i | 0.148836 | + | 0.140985i | ||||
\(423\) | −2.96209 | − | 2.25172i | −0.144022 | − | 0.109483i | ||||
\(424\) | −2.39684 | − | 3.53508i | −0.116401 | − | 0.171679i | ||||
\(425\) | 34.2623 | − | 3.72625i | 1.66196 | − | 0.180749i | ||||
\(426\) | −0.366729 | + | 0.347384i | −0.0177681 | + | 0.0168308i | ||||
\(427\) | −29.6951 | − | 34.9598i | −1.43705 | − | 1.69182i | ||||
\(428\) | −3.06975 | + | 5.79016i | −0.148382 | + | 0.279878i | ||||
\(429\) | 2.34137 | − | 3.45326i | 0.113042 | − | 0.166725i | ||||
\(430\) | 9.98000 | − | 3.36265i | 0.481278 | − | 0.162162i | ||||
\(431\) | −3.64968 | − | 13.1450i | −0.175799 | − | 0.633170i | −0.997956 | − | 0.0639092i | \(-0.979643\pi\) |
0.822157 | − | 0.569261i | \(-0.192771\pi\) | |||||||
\(432\) | −0.363540 | + | 2.21750i | −0.0174908 | + | 0.106689i | ||||
\(433\) | −1.95391 | − | 4.90393i | −0.0938987 | − | 0.235668i | 0.874524 | − | 0.484982i | \(-0.161174\pi\) |
−0.968423 | + | 0.249314i | \(0.919795\pi\) | |||||||
\(434\) | 14.0697 | − | 16.5641i | 0.675366 | − | 0.795102i | ||||
\(435\) | 0.350291 | + | 6.46075i | 0.0167952 | + | 0.309769i | ||||
\(436\) | 0.921456 | − | 3.31879i | 0.0441298 | − | 0.158941i | ||||
\(437\) | −11.6257 | − | 5.37861i | −0.556132 | − | 0.257294i | ||||
\(438\) | 2.43953 | + | 0.536980i | 0.116565 | + | 0.0256579i | ||||
\(439\) | −29.8771 | + | 6.57644i | −1.42595 | + | 0.313876i | −0.859888 | − | 0.510484i | \(-0.829466\pi\) |
−0.566066 | + | 0.824360i | \(0.691535\pi\) | |||||||
\(440\) | 2.95923 | − | 1.36908i | 0.141076 | − | 0.0652685i | ||||
\(441\) | −2.02987 | − | 12.3816i | −0.0966604 | − | 0.589602i | ||||
\(442\) | 24.6617 | − | 14.8384i | 1.17304 | − | 0.705793i | ||||
\(443\) | −13.4066 | + | 8.06647i | −0.636966 | + | 0.383250i | −0.797102 | − | 0.603845i | \(-0.793634\pi\) |
0.160135 | + | 0.987095i | \(0.448807\pi\) | |||||||
\(444\) | −0.858755 | − | 5.23817i | −0.0407547 | − | 0.248593i | ||||
\(445\) | 5.06379 | − | 2.34276i | 0.240047 | − | 0.111058i | ||||
\(446\) | −5.77579 | + | 1.27135i | −0.273492 | + | 0.0602001i | ||||
\(447\) | 17.3805 | + | 3.82573i | 0.822067 | + | 0.180951i | ||||
\(448\) | 34.5570 | + | 15.9878i | 1.63267 | + | 0.755352i | ||||
\(449\) | −9.31068 | + | 33.5340i | −0.439398 | + | 1.58257i | 0.330117 | + | 0.943940i | \(0.392912\pi\) |
−0.769515 | + | 0.638629i | \(0.779502\pi\) | |||||||
\(450\) | −0.273474 | − | 5.04393i | −0.0128917 | − | 0.237773i | ||||
\(451\) | 5.19993 | − | 6.12183i | 0.244855 | − | 0.288266i | ||||
\(452\) | 1.75180 | + | 4.39669i | 0.0823978 | + | 0.206803i | ||||
\(453\) | 2.06488 | − | 12.5952i | 0.0970167 | − | 0.591776i | ||||
\(454\) | −3.96825 | − | 14.2923i | −0.186239 | − | 0.670773i | ||||
\(455\) | 10.5258 | − | 3.54656i | 0.493458 | − | 0.166265i | ||||
\(456\) | 8.94500 | − | 13.1929i | 0.418888 | − | 0.617814i | ||||
\(457\) | −3.79277 | + | 7.15393i | −0.177418 | + | 0.334647i | −0.956232 | − | 0.292608i | \(-0.905477\pi\) |
0.778814 | + | 0.627255i | \(0.215822\pi\) | |||||||
\(458\) | −16.5281 | − | 19.4584i | −0.772308 | − | 0.909231i | ||||
\(459\) | 5.73562 | − | 5.43307i | 0.267716 | − | 0.253594i | ||||
\(460\) | 1.29490 | − | 0.140828i | 0.0603748 | − | 0.00656616i | ||||
\(461\) | 3.00186 | + | 4.42741i | 0.139811 | + | 0.206205i | 0.891148 | − | 0.453714i | \(-0.149901\pi\) |
−0.751337 | + | 0.659919i | \(0.770591\pi\) | |||||||
\(462\) | 5.40463 | + | 4.10849i | 0.251446 | + | 0.191144i | ||||
\(463\) | −2.09195 | − | 1.98160i | −0.0972214 | − | 0.0920930i | 0.637545 | − | 0.770413i | \(-0.279950\pi\) |
−0.734767 | + | 0.678320i | \(0.762708\pi\) | |||||||
\(464\) | 0.985752 | − | 18.1811i | 0.0457624 | − | 0.844038i | ||||
\(465\) | 3.21240 | + | 1.08238i | 0.148972 | + | 0.0501944i | ||||
\(466\) | −10.7314 | + | 8.15779i | −0.497122 | + | 0.377902i | ||||
\(467\) | 10.0330 | + | 1.09115i | 0.464272 | + | 0.0504926i | 0.337266 | − | 0.941409i | \(-0.390498\pi\) |
0.127006 | + | 0.991902i | \(0.459463\pi\) | |||||||
\(468\) | 0.971443 | + | 1.83234i | 0.0449049 | + | 0.0846997i | ||||
\(469\) | 2.09866 | − | 5.26724i | 0.0969071 | − | 0.243218i | ||||
\(470\) | 2.94789 | + | 1.77369i | 0.135976 | + | 0.0818140i | ||||
\(471\) | −19.6214 | −0.904107 | ||||||||
\(472\) | 0.0721257 | − | 23.6514i | 0.00331986 | − | 1.08864i | ||||
\(473\) | 15.1040 | 0.694483 | ||||||||
\(474\) | 4.66286 | + | 2.80555i | 0.214172 | + | 0.128863i | ||||
\(475\) | −8.35846 | + | 20.9782i | −0.383513 | + | 0.962544i | ||||
\(476\) | −10.7850 | − | 20.3426i | −0.494329 | − | 0.932404i | ||||
\(477\) | 1.37894 | + | 0.149969i | 0.0631374 | + | 0.00686661i | ||||
\(478\) | 11.9545 | − | 9.08756i | 0.546785 | − | 0.415655i | ||||
\(479\) | −37.0448 | − | 12.4818i | −1.69262 | − | 0.570310i | −0.702642 | − | 0.711543i | \(-0.747997\pi\) |
−0.989976 | + | 0.141234i | \(0.954893\pi\) | |||||||
\(480\) | −0.153743 | + | 2.83563i | −0.00701739 | + | 0.129428i | ||||
\(481\) | 18.3928 | + | 17.4226i | 0.838639 | + | 0.794401i | ||||
\(482\) | 13.2955 | + | 10.1070i | 0.605594 | + | 0.460360i | ||||
\(483\) | 6.13964 | + | 9.05528i | 0.279363 | + | 0.412030i | ||||
\(484\) | −6.05613 | + | 0.658644i | −0.275279 | + | 0.0299383i | ||||
\(485\) | 5.97083 | − | 5.65587i | 0.271121 | − | 0.256820i | ||||
\(486\) | −0.749631 | − | 0.882534i | −0.0340040 | − | 0.0400325i | ||||
\(487\) | −8.04378 | + | 15.1722i | −0.364498 | + | 0.687517i | −0.996143 | − | 0.0877408i | \(-0.972035\pi\) |
0.631645 | + | 0.775258i | \(0.282380\pi\) | |||||||
\(488\) | −17.9276 | + | 26.4412i | −0.811545 | + | 1.19694i | ||||
\(489\) | −10.9589 | + | 3.69247i | −0.495576 | + | 0.166979i | ||||
\(490\) | 3.10367 | + | 11.1784i | 0.140209 | + | 0.504989i | ||||
\(491\) | 5.31911 | − | 32.4451i | 0.240048 | − | 1.46423i | −0.541668 | − | 0.840593i | \(-0.682207\pi\) |
0.781716 | − | 0.623635i | \(-0.214345\pi\) | |||||||
\(492\) | 1.47784 | + | 3.70910i | 0.0666262 | + | 0.167219i | ||||
\(493\) | −41.4426 | + | 48.7900i | −1.86648 | + | 2.19739i | ||||
\(494\) | 1.02098 | + | 18.8309i | 0.0459360 | + | 0.847240i | ||||
\(495\) | −0.283291 | + | 1.02032i | −0.0127330 | + | 0.0458600i | ||||
\(496\) | −8.65768 | − | 4.00547i | −0.388741 | − | 0.179851i | ||||
\(497\) | −1.88362 | − | 0.414616i | −0.0844918 | − | 0.0185981i | ||||
\(498\) | 4.16254 | − | 0.916244i | 0.186528 | − | 0.0410579i | ||||
\(499\) | −38.9781 | + | 18.0332i | −1.74490 | + | 0.807277i | −0.756765 | + | 0.653687i | \(0.773221\pi\) |
−0.988135 | + | 0.153589i | \(0.950917\pi\) | |||||||
\(500\) | −0.797276 | − | 4.86317i | −0.0356553 | − | 0.217487i | ||||
\(501\) | −3.45963 | + | 2.08159i | −0.154565 | + | 0.0929985i | ||||
\(502\) | −7.95689 | + | 4.78750i | −0.355133 | + | 0.213677i | ||||
\(503\) | 3.93390 | + | 23.9957i | 0.175404 | + | 1.06992i | 0.916946 | + | 0.399010i | \(0.130646\pi\) |
−0.741543 | + | 0.670906i | \(0.765905\pi\) | |||||||
\(504\) | −12.3553 | + | 5.71619i | −0.550351 | + | 0.254619i | ||||
\(505\) | −0.154910 | + | 0.0340982i | −0.00689340 | + | 0.00151735i | ||||
\(506\) | −3.71094 | − | 0.816840i | −0.164972 | − | 0.0363130i | ||||
\(507\) | 2.81489 | + | 1.30231i | 0.125014 | + | 0.0578375i | ||||
\(508\) | 2.75710 | − | 9.93018i | 0.122327 | − | 0.440580i | ||||
\(509\) | −2.07068 | − | 38.1914i | −0.0917813 | − | 1.69281i | −0.575674 | − | 0.817679i | \(-0.695260\pi\) |
0.483893 | − | 0.875127i | \(-0.339222\pi\) | |||||||
\(510\) | −4.72909 | + | 5.56752i | −0.209408 | + | 0.246534i | ||||
\(511\) | 3.53020 | + | 8.86012i | 0.156167 | + | 0.391949i | ||||
\(512\) | 3.53167 | − | 21.5422i | 0.156079 | − | 0.952041i | ||||
\(513\) | 1.38487 | + | 4.98786i | 0.0611436 | + | 0.220219i | ||||
\(514\) | −28.0540 | + | 9.45248i | −1.23741 | + | 0.416931i | ||||
\(515\) | 2.75750 | − | 4.06701i | 0.121510 | − | 0.179214i | ||||
\(516\) | −3.51679 | + | 6.63338i | −0.154818 | + | 0.292018i | ||||
\(517\) | 3.19431 | + | 3.76063i | 0.140486 | + | 0.165392i | ||||
\(518\) | −29.9287 | + | 28.3499i | −1.31499 | + | 1.24562i | ||||
\(519\) | −6.58389 | + | 0.716041i | −0.289001 | + | 0.0314307i | ||||
\(520\) | −4.34118 | − | 6.40276i | −0.190373 | − | 0.280780i | ||||
\(521\) | −33.7434 | − | 25.6510i | −1.47832 | − | 1.12379i | −0.963903 | − | 0.266254i | \(-0.914214\pi\) |
−0.514420 | − | 0.857538i | \(-0.671993\pi\) | |||||||
\(522\) | 6.81168 | + | 6.45237i | 0.298139 | + | 0.282412i | ||||
\(523\) | 0.484092 | − | 8.92856i | 0.0211679 | − | 0.390419i | −0.968682 | − | 0.248304i | \(-0.920127\pi\) |
0.989850 | − | 0.142115i | \(-0.0453903\pi\) | |||||||
\(524\) | −5.17209 | − | 1.74268i | −0.225944 | − | 0.0761293i | ||||
\(525\) | 15.3542 | − | 11.6719i | 0.670110 | − | 0.509405i | ||||
\(526\) | −26.4088 | − | 2.87213i | −1.15148 | − | 0.125231i | ||||
\(527\) | 15.7097 | + | 29.6317i | 0.684326 | + | 1.29078i | ||||
\(528\) | 1.10297 | − | 2.76825i | 0.0480007 | − | 0.120473i | ||||
\(529\) | 14.4609 | + | 8.70081i | 0.628733 | + | 0.378296i | ||||
\(530\) | −1.28253 | −0.0557095 | ||||||||
\(531\) | 5.83909 | + | 4.99050i | 0.253395 | + | 0.216569i | ||||
\(532\) | 15.0865 | 0.654082 | ||||||||
\(533\) | −16.3285 | − | 9.82454i | −0.707267 | − | 0.425548i | ||||
\(534\) | 2.99473 | − | 7.51620i | 0.129595 | − | 0.325258i | ||||
\(535\) | 3.71858 | + | 7.01399i | 0.160768 | + | 0.303241i | ||||
\(536\) | −3.92571 | − | 0.426947i | −0.169565 | − | 0.0184413i | ||||
\(537\) | 6.91044 | − | 5.25318i | 0.298208 | − | 0.226691i | ||||
\(538\) | 33.1285 | + | 11.1623i | 1.42827 | + | 0.481240i | ||||
\(539\) | −0.900795 | + | 16.6142i | −0.0388000 | + | 0.715624i | ||||
\(540\) | −0.382144 | − | 0.361986i | −0.0164448 | − | 0.0155774i | ||||
\(541\) | −3.00212 | − | 2.28215i | −0.129071 | − | 0.0981174i | 0.538647 | − | 0.842532i | \(-0.318936\pi\) |
−0.667718 | + | 0.744414i | \(0.732729\pi\) | |||||||
\(542\) | −4.57634 | − | 6.74960i | −0.196571 | − | 0.289920i | ||||
\(543\) | 6.37834 | − | 0.693686i | 0.273721 | − | 0.0297689i | ||||
\(544\) | −20.3978 | + | 19.3218i | −0.874549 | + | 0.828417i | ||||
\(545\) | −2.70112 | − | 3.18000i | −0.115703 | − | 0.136216i | ||||
\(546\) | 7.54452 | − | 14.2305i | 0.322876 | − | 0.609008i | ||||
\(547\) | −13.9910 | + | 20.6352i | −0.598214 | + | 0.882300i | −0.999433 | − | 0.0336828i | \(-0.989276\pi\) |
0.401219 | + | 0.915982i | \(0.368587\pi\) | |||||||
\(548\) | 7.16417 | − | 2.41389i | 0.306038 | − | 0.103116i | ||||
\(549\) | −2.77557 | − | 9.99669i | −0.118458 | − | 0.426648i | ||||
\(550\) | −1.08372 | + | 6.61038i | −0.0462098 | + | 0.281868i | ||||
\(551\) | −15.5253 | − | 38.9656i | −0.661400 | − | 1.65999i | ||||
\(552\) | 4.93278 | − | 5.80732i | 0.209953 | − | 0.247176i | ||||
\(553\) | 1.12489 | + | 20.7473i | 0.0478350 | + | 0.882265i | ||||
\(554\) | −4.91739 | + | 17.7109i | −0.208920 | + | 0.752462i | ||||
\(555\) | −5.83575 | − | 2.69990i | −0.247714 | − | 0.114605i | ||||
\(556\) | −12.0346 | − | 2.64901i | −0.510379 | − | 0.112343i | ||||
\(557\) | 36.6543 | − | 8.06823i | 1.55309 | − | 0.341862i | 0.646183 | − | 0.763183i | \(-0.276364\pi\) |
0.906912 | + | 0.421321i | \(0.138433\pi\) | |||||||
\(558\) | 4.46132 | − | 2.06403i | 0.188863 | − | 0.0873773i | ||||
\(559\) | −5.79732 | − | 35.3621i | −0.245200 | − | 1.49566i | ||||
\(560\) | 6.79756 | − | 4.08996i | 0.287250 | − | 0.172832i | ||||
\(561\) | −8.97706 | + | 5.40132i | −0.379012 | + | 0.228044i | ||||
\(562\) | −2.00099 | − | 12.2055i | −0.0844067 | − | 0.514858i | ||||
\(563\) | −3.18405 | + | 1.47310i | −0.134192 | + | 0.0620837i | −0.485836 | − | 0.874050i | \(-0.661485\pi\) |
0.351644 | + | 0.936134i | \(0.385623\pi\) | |||||||
\(564\) | −2.39535 | + | 0.527257i | −0.100863 | + | 0.0222015i | ||||
\(565\) | 5.59914 | + | 1.23246i | 0.235558 | + | 0.0518502i | ||||
\(566\) | 4.92908 | + | 2.28043i | 0.207184 | + | 0.0958537i | ||||
\(567\) | 1.18279 | − | 4.26004i | 0.0496727 | − | 0.178905i | ||||
\(568\) | 0.0727227 | + | 1.34129i | 0.00305138 | + | 0.0562793i | ||||
\(569\) | −9.96616 | + | 11.7331i | −0.417803 | + | 0.491876i | −0.930293 | − | 0.366817i | \(-0.880447\pi\) |
0.512490 | + | 0.858693i | \(0.328723\pi\) | |||||||
\(570\) | −1.77162 | − | 4.44644i | −0.0742052 | − | 0.186241i | ||||
\(571\) | −5.59746 | + | 34.1430i | −0.234246 | + | 1.42884i | 0.563635 | + | 0.826024i | \(0.309402\pi\) |
−0.797881 | + | 0.602815i | \(0.794046\pi\) | |||||||
\(572\) | −0.735768 | − | 2.65000i | −0.0307640 | − | 0.110802i | ||||
\(573\) | −24.0699 | + | 8.11009i | −1.00553 | + | 0.338804i | ||||
\(574\) | 17.4015 | − | 25.6652i | 0.726323 | − | 1.07125i | ||||
\(575\) | −5.05642 | + | 9.53742i | −0.210867 | + | 0.397738i | ||||
\(576\) | 5.57542 | + | 6.56389i | 0.232309 | + | 0.273496i | ||||
\(577\) | −7.20125 | + | 6.82139i | −0.299792 | + | 0.283978i | −0.822778 | − | 0.568363i | \(-0.807577\pi\) |
0.522986 | + | 0.852342i | \(0.324818\pi\) | |||||||
\(578\) | −52.2801 | + | 5.68580i | −2.17456 | + | 0.236498i | ||||
\(579\) | −0.407806 | − | 0.601468i | −0.0169478 | − | 0.0249962i | ||||
\(580\) | 3.39541 | + | 2.58113i | 0.140987 | + | 0.107175i | ||||
\(581\) | 11.8147 | + | 11.1915i | 0.490155 | + | 0.464300i | ||||
\(582\) | 0.645670 | − | 11.9087i | 0.0267639 | − | 0.493631i | ||||
\(583\) | −1.74312 | − | 0.587326i | −0.0721927 | − | 0.0243245i | ||||
\(584\) | 5.28801 | − | 4.01984i | 0.218819 | − | 0.166342i | ||||
\(585\) | 2.49755 | + | 0.271625i | 0.103261 | + | 0.0112303i | ||||
\(586\) | 5.15572 | + | 9.72472i | 0.212981 | + | 0.401724i | ||||
\(587\) | 10.6872 | − | 26.8227i | 0.441106 | − | 1.10709i | −0.525493 | − | 0.850798i | \(-0.676119\pi\) |
0.966599 | − | 0.256295i | \(-0.0825017\pi\) | |||||||
\(588\) | −7.08688 | − | 4.26403i | −0.292258 | − | 0.175846i | ||||
\(589\) | −21.9754 | −0.905481 | ||||||||
\(590\) | −5.86624 | − | 4.00358i | −0.241509 | − | 0.164825i | ||||
\(591\) | −2.62408 | −0.107940 | ||||||||
\(592\) | 15.5046 | + | 9.32880i | 0.637235 | + | 0.383411i | ||||
\(593\) | −0.0333929 | + | 0.0838098i | −0.00137128 | + | 0.00344166i | −0.929661 | − | 0.368417i | \(-0.879900\pi\) |
0.928289 | + | 0.371858i | \(0.121279\pi\) | |||||||
\(594\) | 0.719263 | + | 1.35667i | 0.0295117 | + | 0.0556650i | ||||
\(595\) | −27.7279 | − | 3.01559i | −1.13673 | − | 0.123627i | ||||
\(596\) | 9.33916 | − | 7.09945i | 0.382547 | − | 0.290805i | ||||
\(597\) | 0.923236 | + | 0.311075i | 0.0377856 | + | 0.0127314i | ||||
\(598\) | −0.488059 | + | 9.00173i | −0.0199582 | + | 0.368108i | ||||
\(599\) | 4.53741 | + | 4.29806i | 0.185393 | + | 0.175614i | 0.774767 | − | 0.632246i | \(-0.217867\pi\) |
−0.589374 | + | 0.807860i | \(0.700626\pi\) | |||||||
\(600\) | −10.6935 | − | 8.12898i | −0.436560 | − | 0.331864i | ||||
\(601\) | −0.938158 | − | 1.38368i | −0.0382683 | − | 0.0564415i | 0.808074 | − | 0.589082i | \(-0.200510\pi\) |
−0.846342 | + | 0.532640i | \(0.821200\pi\) | |||||||
\(602\) | 57.9673 | − | 6.30433i | 2.36257 | − | 0.256945i | ||||
\(603\) | 0.931049 | − | 0.881937i | 0.0379153 | − | 0.0359152i | ||||
\(604\) | −5.44676 | − | 6.41242i | −0.221625 | − | 0.260918i | ||||
\(605\) | −3.45659 | + | 6.51982i | −0.140530 | + | 0.265068i | ||||
\(606\) | −0.129081 | + | 0.190380i | −0.00524354 | + | 0.00773365i | ||||
\(607\) | 0.934319 | − | 0.314809i | 0.0379228 | − | 0.0127777i | −0.300276 | − | 0.953852i | \(-0.597079\pi\) |
0.338199 | + | 0.941075i | \(0.390182\pi\) | |||||||
\(608\) | −4.92507 | − | 17.7385i | −0.199738 | − | 0.719392i | ||||
\(609\) | −5.79570 | + | 35.3522i | −0.234854 | + | 1.43254i | ||||
\(610\) | 3.55069 | + | 8.91157i | 0.143763 | + | 0.360819i | ||||
\(611\) | 7.57847 | − | 8.92207i | 0.306592 | − | 0.360948i | ||||
\(612\) | −0.281945 | − | 5.20018i | −0.0113970 | − | 0.210205i | ||||
\(613\) | 5.47497 | − | 19.7190i | 0.221132 | − | 0.796445i | −0.766844 | − | 0.641834i | \(-0.778174\pi\) |
0.987975 | − | 0.154611i | \(-0.0494123\pi\) | |||||||
\(614\) | 9.89628 | + | 4.57851i | 0.399381 | + | 0.184774i | ||||
\(615\) | 4.72350 | + | 1.03972i | 0.190470 | + | 0.0419256i | ||||
\(616\) | 17.6310 | − | 3.88088i | 0.710373 | − | 0.156365i | ||||
\(617\) | −7.96916 | + | 3.68693i | −0.320826 | + | 0.148430i | −0.573692 | − | 0.819071i | \(-0.694489\pi\) |
0.252865 | + | 0.967502i | \(0.418627\pi\) | |||||||
\(618\) | −1.15276 | − | 7.03151i | −0.0463707 | − | 0.282849i | ||||
\(619\) | 8.28427 | − | 4.98448i | 0.332973 | − | 0.200343i | −0.339242 | − | 0.940699i | \(-0.610171\pi\) |
0.672215 | + | 0.740356i | \(0.265343\pi\) | |||||||
\(620\) | 1.91469 | − | 1.15203i | 0.0768957 | − | 0.0462666i | ||||
\(621\) | 0.400337 | + | 2.44195i | 0.0160650 | + | 0.0979920i | ||||
\(622\) | −19.0950 | + | 8.83428i | −0.765639 | + | 0.354222i | ||||
\(623\) | 30.1700 | − | 6.64091i | 1.20873 | − | 0.266063i | ||||
\(624\) | −6.90448 | − | 1.51979i | −0.276401 | − | 0.0608404i | ||||
\(625\) | 14.3779 | + | 6.65195i | 0.575118 | + | 0.266078i | ||||
\(626\) | −6.53213 | + | 23.5266i | −0.261076 | + | 0.940312i | ||||
\(627\) | −0.371645 | − | 6.85459i | −0.0148421 | − | 0.273746i | ||||
\(628\) | −8.37342 | + | 9.85795i | −0.334136 | + | 0.393375i | ||||
\(629\) | −23.5473 | − | 59.0992i | −0.938891 | − | 2.35644i | ||||
\(630\) | −0.661359 | + | 4.03411i | −0.0263492 | + | 0.160723i | ||||
\(631\) | −2.67131 | − | 9.62119i | −0.106343 | − | 0.383014i | 0.891156 | − | 0.453698i | \(-0.149896\pi\) |
−0.997499 | + | 0.0706843i | \(0.977482\pi\) | |||||||
\(632\) | 13.7133 | − | 4.62055i | 0.545486 | − | 0.183796i | ||||
\(633\) | −2.04105 | + | 3.01032i | −0.0811243 | + | 0.119649i | ||||
\(634\) | −1.82130 | + | 3.43534i | −0.0723332 | + | 0.136435i | ||||
\(635\) | −8.08204 | − | 9.51491i | −0.320726 | − | 0.377588i | ||||
\(636\) | 0.663807 | − | 0.628792i | 0.0263217 | − | 0.0249332i | ||||
\(637\) | 39.2435 | − | 4.26799i | 1.55488 | − | 0.169104i | ||||
\(638\) | −6.98244 | − | 10.2983i | −0.276437 | − | 0.407714i | ||||
\(639\) | −0.347289 | − | 0.264002i | −0.0137386 | − | 0.0104438i | ||||
\(640\) | −1.65782 | − | 1.57037i | −0.0655310 | − | 0.0620742i | ||||
\(641\) | −1.42450 | + | 26.2733i | −0.0562642 | + | 1.03773i | 0.825008 | + | 0.565122i | \(0.191171\pi\) |
−0.881272 | + | 0.472610i | \(0.843312\pi\) | |||||||
\(642\) | 10.9094 | + | 3.67582i | 0.430562 | + | 0.145073i | ||||
\(643\) | 4.57009 | − | 3.47409i | 0.180227 | − | 0.137005i | −0.511171 | − | 0.859479i | \(-0.670788\pi\) |
0.691398 | + | 0.722474i | \(0.256995\pi\) | |||||||
\(644\) | 7.16953 | + | 0.779733i | 0.282519 | + | 0.0307258i | ||||
\(645\) | 4.26012 | + | 8.03544i | 0.167742 | + | 0.316395i | ||||
\(646\) | 17.5281 | − | 43.9922i | 0.689633 | − | 1.73085i | ||||
\(647\) | 1.57126 | + | 0.945395i | 0.0617726 | + | 0.0371673i | 0.546105 | − | 0.837717i | \(-0.316110\pi\) |
−0.484333 | + | 0.874884i | \(0.660938\pi\) | |||||||
\(648\) | −3.07917 | −0.120961 | ||||||||
\(649\) | −6.13956 | − | 8.12779i | −0.240999 | − | 0.319044i | ||||
\(650\) | 15.8924 | 0.623352 | ||||||||
\(651\) | 16.0822 | + | 9.67632i | 0.630310 | + | 0.379245i | ||||
\(652\) | −2.82155 | + | 7.08157i | −0.110501 | + | 0.277336i | ||||
\(653\) | 16.4492 | + | 31.0265i | 0.643707 | + | 1.21416i | 0.963763 | + | 0.266762i | \(0.0859536\pi\) |
−0.320056 | + | 0.947399i | \(0.603702\pi\) | |||||||
\(654\) | −6.01488 | − | 0.654157i | −0.235200 | − | 0.0255796i | ||||
\(655\) | −5.26326 | + | 4.00103i | −0.205653 | + | 0.156333i | ||||
\(656\) | −12.8981 | − | 4.34588i | −0.503587 | − | 0.169678i | ||||
\(657\) | −0.116790 | + | 2.15406i | −0.00455641 | + | 0.0840380i | ||||
\(658\) | 13.8290 | + | 13.0996i | 0.539112 | + | 0.510674i | ||||
\(659\) | −12.7676 | − | 9.70566i | −0.497354 | − | 0.378079i | 0.326214 | − | 0.945296i | \(-0.394227\pi\) |
−0.823568 | + | 0.567217i | \(0.808020\pi\) | |||||||
\(660\) | 0.391723 | + | 0.577748i | 0.0152478 | + | 0.0224888i | ||||
\(661\) | 16.0604 | − | 1.74667i | 0.624677 | − | 0.0679377i | 0.209694 | − | 0.977767i | \(-0.432753\pi\) |
0.414983 | + | 0.909829i | \(0.363788\pi\) | |||||||
\(662\) | 9.24254 | − | 8.75500i | 0.359222 | − | 0.340273i | ||||
\(663\) | 16.0914 | + | 18.9443i | 0.624938 | + | 0.735734i | ||||
\(664\) | 5.30892 | − | 10.0137i | 0.206026 | − | 0.388606i | ||||
\(665\) | 10.2558 | − | 15.1262i | 0.397704 | − | 0.586569i | ||||
\(666\) | −8.83616 | + | 2.97725i | −0.342394 | + | 0.115366i | ||||
\(667\) | −5.36416 | − | 19.3200i | −0.207701 | − | 0.748072i | ||||
\(668\) | −0.430586 | + | 2.62646i | −0.0166599 | + | 0.101621i | ||||
\(669\) | −1.89045 | − | 4.74468i | −0.0730891 | − | 0.183440i | ||||
\(670\) | −0.767662 | + | 0.903761i | −0.0296574 | + | 0.0349153i | ||||
\(671\) | 0.744852 | + | 13.7380i | 0.0287547 | + | 0.530349i | ||||
\(672\) | −4.20642 | + | 15.1501i | −0.162266 | + | 0.584429i | ||||
\(673\) | 31.4438 | + | 14.5475i | 1.21207 | + | 0.560763i | 0.918594 | − | 0.395203i | \(-0.129326\pi\) |
0.293476 | + | 0.955966i | \(0.405188\pi\) | |||||||
\(674\) | −30.1045 | − | 6.62649i | −1.15958 | − | 0.255243i | ||||
\(675\) | 4.26038 | − | 0.937781i | 0.163982 | − | 0.0360952i | ||||
\(676\) | 1.85554 | − | 0.858465i | 0.0713670 | − | 0.0330179i | ||||
\(677\) | −5.73680 | − | 34.9929i | −0.220483 | − | 1.34489i | −0.832492 | − | 0.554037i | \(-0.813087\pi\) |
0.612009 | − | 0.790851i | \(-0.290362\pi\) | |||||||
\(678\) | 7.12368 | − | 4.28618i | 0.273583 | − | 0.164610i | ||||
\(679\) | 39.0180 | − | 23.4763i | 1.49737 | − | 0.900939i | ||||
\(680\) | 3.14263 | + | 19.1692i | 0.120514 | + | 0.735106i | ||||
\(681\) | 11.6259 | − | 5.37873i | 0.445507 | − | 0.206113i | ||||
\(682\) | −6.36628 | + | 1.40132i | −0.243777 | + | 0.0536595i | ||||
\(683\) | 48.6714 | + | 10.7134i | 1.86236 | + | 0.409936i | 0.995990 | − | 0.0894664i | \(-0.0285162\pi\) |
0.866370 | + | 0.499403i | \(0.166447\pi\) | |||||||
\(684\) | 3.09693 | + | 1.43279i | 0.118414 | + | 0.0547842i | ||||
\(685\) | 2.44997 | − | 8.82400i | 0.0936086 | − | 0.337148i | ||||
\(686\) | 1.53740 | + | 28.3556i | 0.0586981 | + | 1.08262i | ||||
\(687\) | 14.2738 | − | 16.8044i | 0.544579 | − | 0.641128i | ||||
\(688\) | −9.47325 | − | 23.7761i | −0.361164 | − | 0.906454i | ||||
\(689\) | −0.706013 | + | 4.30649i | −0.0268970 | + | 0.164064i | ||||
\(690\) | −0.612115 | − | 2.20464i | −0.0233028 | − | 0.0839292i | ||||
\(691\) | −28.1356 | + | 9.47999i | −1.07033 | + | 0.360636i | −0.798677 | − | 0.601760i | \(-0.794466\pi\) |
−0.271652 | + | 0.962396i | \(0.587570\pi\) | |||||||
\(692\) | −2.44992 | + | 3.61337i | −0.0931321 | + | 0.137360i | ||||
\(693\) | −2.74627 | + | 5.18001i | −0.104322 | + | 0.196772i | ||||
\(694\) | 6.72995 | + | 7.92311i | 0.255465 | + | 0.300757i | ||||
\(695\) | −10.8371 | + | 10.2654i | −0.411075 | + | 0.389391i | ||||
\(696\) | 24.8037 | − | 2.69756i | 0.940181 | − | 0.102251i | ||||
\(697\) | 26.8540 | + | 39.6067i | 1.01717 | + | 1.50021i | ||||
\(698\) | −19.7253 | − | 14.9948i | −0.746613 | − | 0.567560i | ||||
\(699\) | −8.45166 | − | 8.00583i | −0.319671 | − | 0.302808i | ||||
\(700\) | 0.688304 | − | 12.6950i | 0.0260155 | − | 0.479827i | ||||
\(701\) | 25.8068 | + | 8.69531i | 0.974708 | + | 0.328417i | 0.761195 | − | 0.648523i | \(-0.224613\pi\) |
0.213513 | + | 0.976940i | \(0.431510\pi\) | |||||||
\(702\) | 2.90022 | − | 2.20469i | 0.109462 | − | 0.0832108i | ||||
\(703\) | 41.4397 | + | 4.50684i | 1.56293 | + | 0.169979i | ||||
\(704\) | −5.34956 | − | 10.0903i | −0.201619 | − | 0.380294i | ||||
\(705\) | −1.09972 | + | 2.76009i | −0.0414179 | + | 0.103951i | ||||
\(706\) | −8.68368 | − | 5.22479i | −0.326814 | − | 0.196638i | ||||
\(707\) | −0.878231 | −0.0330293 | ||||||||
\(708\) | 4.99909 | − | 0.803912i | 0.187877 | − | 0.0302129i | ||||
\(709\) | 26.0629 | 0.978812 | 0.489406 | − | 0.872056i | \(-0.337214\pi\) | ||||
0.489406 | + | 0.872056i | \(0.337214\pi\) | |||||||
\(710\) | 0.345624 | + | 0.207955i | 0.0129710 | + | 0.00780441i | ||||
\(711\) | −1.73950 | + | 4.36581i | −0.0652362 | + | 0.163730i | ||||
\(712\) | −10.0778 | − | 19.0088i | −0.377683 | − | 0.712386i | ||||
\(713\) | −10.4433 | − | 1.13578i | −0.391106 | − | 0.0425353i | ||||
\(714\) | −32.1984 | + | 24.4766i | −1.20499 | + | 0.916012i | ||||
\(715\) | −3.15715 | − | 1.06377i | −0.118071 | − | 0.0397827i | ||||
\(716\) | 0.309785 | − | 5.71365i | 0.0115772 | − | 0.213529i | ||||
\(717\) | 9.41492 | + | 8.91829i | 0.351607 | + | 0.333060i | ||||
\(718\) | −1.72188 | − | 1.30894i | −0.0642600 | − | 0.0488492i | ||||
\(719\) | 24.8663 | + | 36.6750i | 0.927356 | + | 1.36775i | 0.929924 | + | 0.367752i | \(0.119872\pi\) |
−0.00256756 | + | 0.999997i | \(0.500817\pi\) | |||||||
\(720\) | 1.78382 | − | 0.194003i | 0.0664792 | − | 0.00723005i | ||||
\(721\) | 19.7514 | − | 18.7095i | 0.735579 | − | 0.696778i | ||||
\(722\) | 5.84458 | + | 6.88077i | 0.217513 | + | 0.256076i | ||||
\(723\) | −6.75587 | + | 12.7429i | −0.251254 | + | 0.473915i | ||||
\(724\) | 2.37344 | − | 3.50056i | 0.0882081 | − | 0.130097i | ||||
\(725\) | −33.4972 | + | 11.2865i | −1.24405 | + | 0.419171i | ||||
\(726\) | 2.86282 | + | 10.3109i | 0.106249 | + | 0.382675i | ||||
\(727\) | 2.96185 | − | 18.0665i | 0.109849 | − | 0.670049i | −0.873292 | − | 0.487198i | \(-0.838019\pi\) |
0.983141 | − | 0.182851i | \(-0.0585326\pi\) | |||||||
\(728\) | −15.8533 | − | 39.7888i | −0.587562 | − | 1.47467i | ||||
\(729\) | 0.647386 | − | 0.762162i | 0.0239773 | − | 0.0282282i | ||||
\(730\) | −0.107987 | − | 1.99171i | −0.00399679 | − | 0.0737165i | ||||
\(731\) | −24.0730 | + | 86.7030i | −0.890371 | + | 3.20683i | ||||
\(732\) | −6.20688 | − | 2.87161i | −0.229413 | − | 0.106138i | ||||
\(733\) | −32.1939 | − | 7.08642i | −1.18911 | − | 0.261743i | −0.424012 | − | 0.905657i | \(-0.639378\pi\) |
−0.765098 | + | 0.643914i | \(0.777309\pi\) | |||||||
\(734\) | 12.8185 | − | 2.82157i | 0.473140 | − | 0.104146i | ||||
\(735\) | −9.09293 | + | 4.20684i | −0.335398 | + | 0.155172i | ||||
\(736\) | −1.42373 | − | 8.68439i | −0.0524795 | − | 0.320111i | ||||
\(737\) | −1.45722 | + | 0.876782i | −0.0536775 | + | 0.0322967i | ||||
\(738\) | 6.00962 | − | 3.61587i | 0.221217 | − | 0.133102i | ||||
\(739\) | −3.02035 | − | 18.4233i | −0.111106 | − | 0.677714i | −0.982377 | − | 0.186912i | \(-0.940152\pi\) |
0.871271 | − | 0.490802i | \(-0.163296\pi\) | |||||||
\(740\) | −3.84685 | + | 1.77974i | −0.141413 | + | 0.0654246i | ||||
\(741\) | −15.9056 | + | 3.50108i | −0.584306 | + | 0.128615i | ||||
\(742\) | −6.93503 | − | 1.52652i | −0.254593 | − | 0.0560402i | ||||
\(743\) | 42.5593 | + | 19.6900i | 1.56135 | + | 0.722357i | 0.994817 | − | 0.101683i | \(-0.0324229\pi\) |
0.566531 | + | 0.824040i | \(0.308285\pi\) | |||||||
\(744\) | 3.49703 | − | 12.5952i | 0.128207 | − | 0.461762i | ||||
\(745\) | −0.769358 | − | 14.1900i | −0.0281871 | − | 0.519880i | ||||
\(746\) | 12.6397 | − | 14.8805i | 0.462771 | − | 0.544816i | ||||
\(747\) | 1.36242 | + | 3.41943i | 0.0498485 | + | 0.125110i | ||||
\(748\) | −1.11729 | + | 6.81515i | −0.0408520 | + | 0.249186i | ||||
\(749\) | 11.7592 | + | 42.3529i | 0.429672 | + | 1.54754i | ||||
\(750\) | −8.20357 | + | 2.76411i | −0.299552 | + | 0.100931i | ||||
\(751\) | 0.750798 | − | 1.10734i | 0.0273970 | − | 0.0404075i | −0.813744 | − | 0.581224i | \(-0.802574\pi\) |
0.841141 | + | 0.540816i | \(0.181885\pi\) | |||||||
\(752\) | 3.91635 | − | 7.38702i | 0.142815 | − | 0.269377i | ||||
\(753\) | −5.19176 | − | 6.11221i | −0.189198 | − | 0.222741i | ||||
\(754\) | −21.4308 | + | 20.3003i | −0.780463 | + | 0.739294i | ||||
\(755\) | −10.1320 | + | 1.10192i | −0.368742 | + | 0.0401031i | ||||
\(756\) | −1.63552 | − | 2.41221i | −0.0594833 | − | 0.0877313i | ||||
\(757\) | 18.7522 | + | 14.2551i | 0.681561 | + | 0.518109i | 0.887705 | − | 0.460413i | \(-0.152299\pi\) |
−0.206144 | + | 0.978522i | \(0.566092\pi\) | |||||||
\(758\) | −6.83077 | − | 6.47045i | −0.248105 | − | 0.235017i | ||||
\(759\) | 0.177658 | − | 3.27670i | 0.00644856 | − | 0.118937i | ||||
\(760\) | −12.0616 | − | 4.06404i | −0.437521 | − | 0.147418i | ||||
\(761\) | −36.4550 | + | 27.7124i | −1.32149 | + | 1.00457i | −0.323191 | + | 0.946334i | \(0.604756\pi\) |
−0.998303 | + | 0.0582398i | \(0.981451\pi\) | |||||||
\(762\) | −17.9972 | − | 1.95731i | −0.651969 | − | 0.0709059i | ||||
\(763\) | −10.8208 | − | 20.4102i | −0.391740 | − | 0.738900i | ||||
\(764\) | −6.19722 | + | 15.5539i | −0.224208 | + | 0.562719i | ||||
\(765\) | −5.40554 | − | 3.25240i | −0.195438 | − | 0.117591i | ||||
\(766\) | −33.3269 | −1.20415 | ||||||||
\(767\) | −16.6726 | + | 17.4938i | −0.602011 | + | 0.631666i | ||||
\(768\) | 13.9131 | 0.502045 | ||||||||
\(769\) | 6.84073 | + | 4.11593i | 0.246683 | + | 0.148424i | 0.633526 | − | 0.773721i | \(-0.281607\pi\) |
−0.386843 | + | 0.922146i | \(0.626434\pi\) | |||||||
\(770\) | 2.00655 | − | 5.03606i | 0.0723110 | − | 0.181487i | ||||
\(771\) | −11.9753 | − | 22.5878i | −0.431279 | − | 0.813478i | ||||
\(772\) | −0.476213 | − | 0.0517913i | −0.0171393 | − | 0.00186401i | ||||
\(773\) | 32.9287 | − | 25.0317i | 1.18436 | − | 0.900328i | 0.187721 | − | 0.982222i | \(-0.439890\pi\) |
0.996641 | + | 0.0818941i | \(0.0260969\pi\) | |||||||
\(774\) | 12.4982 | + | 4.21113i | 0.449238 | + | 0.151366i | ||||
\(775\) | −1.00260 | + | 18.4919i | −0.0360146 | + | 0.664250i | ||||
\(776\) | −23.0242 | − | 21.8097i | −0.826520 | − | 0.782921i | ||||
\(777\) | −28.3422 | − | 21.5452i | −1.01677 | − | 0.772928i | ||||
\(778\) | 2.29457 | + | 3.38423i | 0.0822642 | + | 0.121331i | ||||
\(779\) | −31.1703 | + | 3.38998i | −1.11679 | + | 0.121459i | ||||
\(780\) | 1.20229 | − | 1.13887i | 0.0430490 | − | 0.0407781i | ||||
\(781\) | 0.374516 | + | 0.440914i | 0.0134012 | + | 0.0157771i | ||||
\(782\) | 10.6035 | − | 20.0004i | 0.379182 | − | 0.715213i | ||||
\(783\) | −4.54720 | + | 6.70662i | −0.162504 | + | 0.239675i | ||||
\(784\) | 26.7183 | − | 9.00245i | 0.954225 | − | 0.321516i | ||||
\(785\) | 4.19164 | + | 15.0969i | 0.149606 | + | 0.538832i | ||||
\(786\) | −1.55104 | + | 9.46090i | −0.0553236 | + | 0.337459i | ||||
\(787\) | 4.31562 | + | 10.8314i | 0.153835 | + | 0.386097i | 0.985614 | − | 0.169009i | \(-0.0540568\pi\) |
−0.831779 | + | 0.555106i | \(0.812678\pi\) | |||||||
\(788\) | −1.11982 | + | 1.31836i | −0.0398920 | + | 0.0469645i | ||||
\(789\) | −1.24202 | − | 22.9076i | −0.0442170 | − | 0.815534i | ||||
\(790\) | 1.16251 | − | 4.18699i | 0.0413603 | − | 0.148966i | ||||
\(791\) | 28.8094 | + | 13.3286i | 1.02434 | + | 0.473912i | ||||
\(792\) | 3.98784 | + | 0.877790i | 0.141702 | + | 0.0311909i | ||||
\(793\) | 31.8780 | − | 7.01688i | 1.13202 | − | 0.249177i | ||||
\(794\) | 8.94224 | − | 4.13712i | 0.317348 | − | 0.146821i | ||||
\(795\) | −0.179190 | − | 1.09301i | −0.00635520 | − | 0.0387650i | ||||
\(796\) | 0.550276 | − | 0.331090i | 0.0195040 | − | 0.0117352i | ||||
\(797\) | 47.1170 | − | 28.3494i | 1.66897 | − | 1.00419i | 0.717444 | − | 0.696616i | \(-0.245312\pi\) |
0.951526 | − | 0.307570i | \(-0.0995157\pi\) | |||||||
\(798\) | −4.28740 | − | 26.1520i | −0.151772 | − | 0.925769i | ||||
\(799\) | −26.6787 | + | 12.3429i | −0.943823 | + | 0.436659i | ||||
\(800\) | −15.1514 | + | 3.33507i | −0.535682 | + | 0.117912i | ||||
\(801\) | 6.82395 | + | 1.50206i | 0.241112 | + | 0.0530728i | ||||
\(802\) | −26.3269 | − | 12.1801i | −0.929636 | − | 0.430095i | ||||
\(803\) | 0.765322 | − | 2.75644i | 0.0270076 | − | 0.0972727i | ||||
\(804\) | −0.0457675 | − | 0.844132i | −0.00161410 | − | 0.0297702i | ||||
\(805\) | 5.65564 | − | 6.65834i | 0.199335 | − | 0.234676i | ||||
\(806\) | 5.72438 | + | 14.3671i | 0.201633 | + | 0.506060i | ||||
\(807\) | −4.88426 | + | 29.7926i | −0.171934 | + | 1.04875i | ||||
\(808\) | 0.163634 | + | 0.589355i | 0.00575661 | + | 0.0207334i | ||||
\(809\) | 28.7012 | − | 9.67056i | 1.00908 | − | 0.339999i | 0.234256 | − | 0.972175i | \(-0.424735\pi\) |
0.774825 | + | 0.632176i | \(0.217838\pi\) | |||||||
\(810\) | −0.518890 | + | 0.765306i | −0.0182319 | + | 0.0268901i | ||||
\(811\) | 7.12872 | − | 13.4462i | 0.250323 | − | 0.472160i | −0.726225 | − | 0.687457i | \(-0.758727\pi\) |
0.976549 | + | 0.215297i | \(0.0690720\pi\) | |||||||
\(812\) | 15.2879 | + | 17.9983i | 0.536500 | + | 0.631617i | ||||
\(813\) | 5.11282 | − | 4.84312i | 0.179314 | − | 0.169856i | ||||
\(814\) | 12.2925 | − | 1.33689i | 0.430851 | − | 0.0468579i | ||||
\(815\) | 5.18211 | + | 7.64305i | 0.181522 | + | 0.267724i | ||||
\(816\) | 14.1329 | + | 10.7436i | 0.494752 | + | 0.376100i | ||||
\(817\) | −42.8043 | − | 40.5464i | −1.49753 | − | 1.41854i | ||||
\(818\) | −1.02737 | + | 18.9487i | −0.0359211 | + | 0.662526i | ||||
\(819\) | 13.1817 | + | 4.44144i | 0.460607 | + | 0.155197i | ||||
\(820\) | 2.53811 | − | 1.92942i | 0.0886348 | − | 0.0673784i | ||||
\(821\) | 4.41732 | + | 0.480413i | 0.154166 | + | 0.0167665i | 0.184876 | − | 0.982762i | \(-0.440812\pi\) |
−0.0307107 | + | 0.999528i | \(0.509777\pi\) | |||||||
\(822\) | −6.22037 | − | 11.7329i | −0.216960 | − | 0.409231i | ||||
\(823\) | 6.28245 | − | 15.7678i | 0.218992 | − | 0.549629i | −0.777901 | − | 0.628386i | \(-0.783716\pi\) |
0.996894 | + | 0.0787568i | \(0.0250951\pi\) | |||||||
\(824\) | −16.2355 | − | 9.76857i | −0.565590 | − | 0.340304i | ||||
\(825\) | −5.78498 | −0.201407 | ||||||||
\(826\) | −26.9554 | − | 28.6308i | −0.937898 | − | 0.996194i | ||||
\(827\) | −31.3425 | −1.08988 | −0.544942 | − | 0.838474i | \(-0.683448\pi\) | ||||
−0.544942 | + | 0.838474i | \(0.683448\pi\) | |||||||
\(828\) | 1.39770 | + | 0.840966i | 0.0485733 | + | 0.0292256i | ||||
\(829\) | −8.84002 | + | 22.1868i | −0.307027 | + | 0.770579i | 0.691797 | + | 0.722092i | \(0.256819\pi\) |
−0.998824 | + | 0.0484870i | \(0.984560\pi\) | |||||||
\(830\) | −1.59419 | − | 3.00697i | −0.0553353 | − | 0.104373i | ||||
\(831\) | −15.7808 | − | 1.71626i | −0.547428 | − | 0.0595364i | ||||
\(832\) | −21.5706 | + | 16.3975i | −0.747825 | + | 0.568482i | ||||
\(833\) | −93.9364 | − | 31.6508i | −3.25470 | − | 1.09664i | ||||
\(834\) | −1.17190 | + | 21.6143i | −0.0405794 | + | 0.748444i | ||||
\(835\) | 2.34066 | + | 2.21719i | 0.0810019 | + | 0.0767291i | ||||
\(836\) | −3.60240 | − | 2.73847i | −0.124591 | − | 0.0947120i | ||||
\(837\) | 2.38235 | + | 3.51370i | 0.0823459 | + | 0.121451i | ||||
\(838\) | 25.9214 | − | 2.81913i | 0.895441 | − | 0.0973851i | ||||
\(839\) | −10.2400 | + | 9.69986i | −0.353525 | + | 0.334876i | −0.843767 | − | 0.536710i | \(-0.819667\pi\) |
0.490242 | + | 0.871586i | \(0.336908\pi\) | |||||||
\(840\) | 7.03752 | + | 8.28521i | 0.242817 | + | 0.285867i | ||||
\(841\) | 17.1699 | − | 32.3858i | 0.592064 | − | 1.11675i | ||||
\(842\) | −18.2440 | + | 26.9078i | −0.628729 | + | 0.927305i | ||||
\(843\) | 10.1223 | − | 3.41061i | 0.348632 | − | 0.117468i | ||||
\(844\) | 0.641393 | + | 2.31009i | 0.0220776 | + | 0.0795165i | ||||
\(845\) | 0.400676 | − | 2.44401i | 0.0137837 | − | 0.0840766i | ||||
\(846\) | 1.59471 | + | 4.00243i | 0.0548274 | + | 0.137606i | ||||
\(847\) | −26.4510 | + | 31.1405i | −0.908868 | + | 1.07000i | ||||
\(848\) | 0.168745 | + | 3.11232i | 0.00579472 | + | 0.106877i | ||||
\(849\) | −1.25478 | + | 4.51932i | −0.0430640 | + | 0.155103i | ||||
\(850\) | −36.2190 | − | 16.7567i | −1.24230 | − | 0.574749i | ||||
\(851\) | 19.4604 | + | 4.28356i | 0.667093 | + | 0.146838i | ||||
\(852\) | −0.280842 | + | 0.0618180i | −0.00962150 | + | 0.00211785i | ||||
\(853\) | −4.49931 | + | 2.08160i | −0.154053 | + | 0.0712727i | −0.495401 | − | 0.868664i | \(-0.664979\pi\) |
0.341347 | + | 0.939937i | \(0.389117\pi\) | |||||||
\(854\) | 8.59281 | + | 52.4138i | 0.294040 | + | 1.79356i | ||||
\(855\) | 3.54187 | − | 2.13107i | 0.121129 | − | 0.0728810i | ||||
\(856\) | 26.2308 | − | 15.7825i | 0.896549 | − | 0.539435i | ||||
\(857\) | −6.72149 | − | 40.9993i | −0.229602 | − | 1.40051i | −0.810121 | − | 0.586263i | \(-0.800599\pi\) |
0.580519 | − | 0.814247i | \(-0.302850\pi\) | |||||||
\(858\) | −4.38459 | + | 2.02853i | −0.149687 | + | 0.0692528i | ||||
\(859\) | −42.6648 | + | 9.39122i | −1.45570 | + | 0.320424i | −0.871184 | − | 0.490956i | \(-0.836648\pi\) |
−0.584519 | + | 0.811380i | \(0.698717\pi\) | |||||||
\(860\) | 5.85507 | + | 1.28880i | 0.199656 | + | 0.0439476i | ||||
\(861\) | 24.3039 | + | 11.2442i | 0.828276 | + | 0.383201i | ||||
\(862\) | −4.22609 | + | 15.2210i | −0.143941 | + | 0.518429i | ||||
\(863\) | 0.837052 | + | 15.4385i | 0.0284936 | + | 0.525533i | 0.977586 | + | 0.210536i | \(0.0675208\pi\) |
−0.949093 | + | 0.314997i | \(0.897996\pi\) | |||||||
\(864\) | −2.30232 | + | 2.71051i | −0.0783267 | + | 0.0922133i | ||||
\(865\) | 1.95742 | + | 4.91275i | 0.0665542 | + | 0.167038i | ||||
\(866\) | −0.988904 | + | 6.03204i | −0.0336043 | + | 0.204977i | ||||
\(867\) | −12.1500 | − | 43.7602i | −0.412635 | − | 1.48618i | ||||
\(868\) | 11.7245 | − | 3.95045i | 0.397956 | − | 0.134087i | ||||
\(869\) | 3.49741 | − | 5.15829i | 0.118641 | − | 0.174983i | ||||
\(870\) | 3.50937 | − | 6.61937i | 0.118979 | − | 0.224418i | ||||
\(871\) | 2.61208 | + | 3.07517i | 0.0885068 | + | 0.104198i | ||||
\(872\) | −11.6805 | + | 11.0644i | −0.395553 | + | 0.374688i | ||||
\(873\) | 10.2391 | − | 1.11357i | 0.346543 | − | 0.0376888i | ||||
\(874\) | 8.32391 | + | 12.2768i | 0.281560 | + | 0.415270i | ||||
\(875\) | −26.3131 | − | 20.0027i | −0.889547 | − | 0.676216i | ||||
\(876\) | 1.03238 | + | 0.977920i | 0.0348808 | + | 0.0330408i | ||||
\(877\) | −0.906204 | + | 16.7140i | −0.0306003 | + | 0.564390i | 0.942528 | + | 0.334127i | \(0.108441\pi\) |
−0.973128 | + | 0.230263i | \(0.926041\pi\) | |||||||
\(878\) | 33.5695 | + | 11.3109i | 1.13292 | + | 0.381724i | ||||
\(879\) | −7.56736 | + | 5.75256i | −0.255241 | + | 0.194029i | ||||
\(880\) | −2.36554 | − | 0.257268i | −0.0797425 | − | 0.00867252i | ||||
\(881\) | 13.9870 | + | 26.3823i | 0.471235 | + | 0.888843i | 0.999216 | + | 0.0395869i | \(0.0126042\pi\) |
−0.527982 | + | 0.849256i | \(0.677051\pi\) | |||||||
\(882\) | −5.37756 | + | 13.4967i | −0.181072 | + | 0.454456i | ||||
\(883\) | 35.5740 | + | 21.4042i | 1.19716 | + | 0.720307i | 0.967477 | − | 0.252958i | \(-0.0814036\pi\) |
0.229683 | + | 0.973266i | \(0.426231\pi\) | |||||||
\(884\) | 16.3847 | 0.551078 | ||||||||
\(885\) | 2.59236 | − | 5.55875i | 0.0871413 | − | 0.186855i | ||||
\(886\) | 18.1173 | 0.608663 | ||||||||
\(887\) | −13.1844 | − | 7.93278i | −0.442688 | − | 0.266357i | 0.276711 | − | 0.960953i | \(-0.410755\pi\) |
−0.719400 | + | 0.694596i | \(0.755583\pi\) | |||||||
\(888\) | −9.17755 | + | 23.0339i | −0.307979 | + | 0.772968i | ||||
\(889\) | −32.3771 | − | 61.0697i | −1.08589 | − | 2.04821i | ||||
\(890\) | −6.42280 | − | 0.698521i | −0.215293 | − | 0.0234145i | ||||
\(891\) | −1.05571 | + | 0.802526i | −0.0353675 | + | 0.0268856i | ||||
\(892\) | −3.19051 | − | 1.07501i | −0.106826 | − | 0.0359939i | ||||
\(893\) | 1.04276 | − | 19.2326i | 0.0348946 | − | 0.643593i | ||||
\(894\) | −14.9607 | − | 14.1716i | −0.500362 | − | 0.473968i | ||||
\(895\) | −5.51810 | − | 4.19475i | −0.184450 | − | 0.140215i | ||||
\(896\) | −7.09522 | − | 10.4647i | −0.237035 | − | 0.349600i | ||||
\(897\) | −7.73973 | + | 0.841746i | −0.258422 | + | 0.0281051i | ||||
\(898\) | 29.2570 | − | 27.7137i | 0.976318 | − | 0.924817i | ||||
\(899\) | −22.2688 | − | 26.2169i | −0.742706 | − | 0.874381i | ||||
\(900\) | 1.34696 | − | 2.54065i | 0.0448988 | − | 0.0846882i | ||||
\(901\) | 6.14969 | − | 9.07012i | 0.204876 | − | 0.302170i | ||||
\(902\) | −8.81388 | + | 2.96974i | −0.293470 | + | 0.0988816i | ||||
\(903\) | 13.4717 | + | 48.5207i | 0.448310 | + | 1.61467i | ||||
\(904\) | 3.57664 | − | 21.8165i | 0.118957 | − | 0.725607i | ||||
\(905\) | −1.89631 | − | 4.75937i | −0.0630354 | − | 0.158207i | ||||
\(906\) | −9.56782 | + | 11.2641i | −0.317870 | + | 0.374225i | ||||
\(907\) | 2.67775 | + | 49.3882i | 0.0889132 | + | 1.63991i | 0.614321 | + | 0.789057i | \(0.289430\pi\) |
−0.525407 | + | 0.850851i | \(0.676087\pi\) | |||||||
\(908\) | 2.25904 | − | 8.13633i | 0.0749689 | − | 0.270014i | ||||
\(909\) | −0.180282 | − | 0.0834073i | −0.00597958 | − | 0.00276645i | ||||
\(910\) | −12.5608 | − | 2.76484i | −0.416386 | − | 0.0916534i | ||||
\(911\) | −46.2768 | + | 10.1863i | −1.53322 | + | 0.337487i | −0.899793 | − | 0.436317i | \(-0.856283\pi\) |
−0.633425 | + | 0.773804i | \(0.718352\pi\) | |||||||
\(912\) | −10.5571 | + | 4.88423i | −0.349580 | + | 0.161733i | ||||
\(913\) | −0.789692 | − | 4.81691i | −0.0261350 | − | 0.159416i | ||||
\(914\) | 8.03386 | − | 4.83381i | 0.265737 | − | 0.159888i | ||||
\(915\) | −7.09862 | + | 4.27110i | −0.234673 | + | 0.141198i | ||||
\(916\) | −2.35134 | − | 14.3425i | −0.0776903 | − | 0.473890i | ||||
\(917\) | −33.2223 | + | 15.3703i | −1.09710 | + | 0.507571i | ||||
\(918\) | −8.93422 | + | 1.96657i | −0.294873 | + | 0.0649065i | ||||
\(919\) | 12.8102 | + | 2.81973i | 0.422568 | + | 0.0930143i | 0.421163 | − | 0.906985i | \(-0.361622\pi\) |
0.00140458 | + | 0.999999i | \(0.499553\pi\) | |||||||
\(920\) | −5.52198 | − | 2.55474i | −0.182054 | − | 0.0842273i | ||||
\(921\) | −2.51927 | + | 9.07360i | −0.0830128 | + | 0.298985i | ||||
\(922\) | −0.335333 | − | 6.18485i | −0.0110436 | − | 0.203687i | ||||
\(923\) | 0.888535 | − | 1.04606i | 0.0292465 | − | 0.0344316i | ||||
\(924\) | 1.43051 | + | 3.59031i | 0.0470603 | + | 0.118113i | ||||
\(925\) | 5.68307 | − | 34.6652i | 0.186858 | − | 1.13978i | ||||
\(926\) | 0.892631 | + | 3.21497i | 0.0293337 | + | 0.105650i | ||||
\(927\) | 5.83141 | − | 1.96483i | 0.191529 | − | 0.0645335i | ||||
\(928\) | 16.1714 | − | 23.8510i | 0.530852 | − | 0.782948i | ||||
\(929\) | −11.0864 | + | 20.9112i | −0.363733 | + | 0.686073i | −0.996065 | − | 0.0886242i | \(-0.971753\pi\) |
0.632332 | + | 0.774697i | \(0.282098\pi\) | |||||||
\(930\) | −2.54114 | − | 2.99166i | −0.0833272 | − | 0.0981004i | ||||
\(931\) | 47.1532 | − | 44.6659i | 1.54538 | − | 1.46387i | ||||
\(932\) | −7.62893 | + | 0.829696i | −0.249894 | + | 0.0271776i | ||||
\(933\) | −10.1967 | − | 15.0390i | −0.333825 | − | 0.492356i | ||||
\(934\) | −9.30319 | − | 7.07210i | −0.304410 | − | 0.231406i | ||||
\(935\) | 6.07356 | + | 5.75318i | 0.198627 | + | 0.188149i | ||||
\(936\) | 0.524476 | − | 9.67340i | 0.0171431 | − | 0.316185i | ||||
\(937\) | −6.61401 | − | 2.22852i | −0.216070 | − | 0.0728025i | 0.209185 | − | 0.977876i | \(-0.432919\pi\) |
−0.425255 | + | 0.905074i | \(0.639816\pi\) | |||||||
\(938\) | −5.22668 | + | 3.97322i | −0.170657 | + | 0.129730i | ||||
\(939\) | −20.9627 | − | 2.27983i | −0.684092 | − | 0.0743995i | ||||
\(940\) | 0.917386 | + | 1.73037i | 0.0299218 | + | 0.0564386i | ||||
\(941\) | 14.4622 | − | 36.2975i | 0.471455 | − | 1.18326i | −0.480491 | − | 0.877000i | \(-0.659542\pi\) |
0.951947 | − | 0.306264i | \(-0.0990791\pi\) | |||||||
\(942\) | 19.4681 | + | 11.7135i | 0.634304 | + | 0.381648i | ||||
\(943\) | −14.9882 | −0.488084 | ||||||||
\(944\) | −8.94366 | + | 14.7624i | −0.291091 | + | 0.480475i | ||||
\(945\) | −3.53039 | −0.114844 | ||||||||
\(946\) | −14.9860 | − | 9.01675i | −0.487236 | − | 0.293160i | ||||
\(947\) | −14.0994 | + | 35.3867i | −0.458168 | + | 1.14991i | 0.500588 | + | 0.865685i | \(0.333117\pi\) |
−0.958756 | + | 0.284229i | \(0.908262\pi\) | |||||||
\(948\) | 1.45109 | + | 2.73704i | 0.0471291 | + | 0.0888949i | ||||
\(949\) | −6.74723 | − | 0.733806i | −0.219025 | − | 0.0238204i | ||||
\(950\) | 20.8166 | − | 15.8244i | 0.675381 | − | 0.513411i | ||||
\(951\) | −3.18217 | − | 1.07220i | −0.103189 | − | 0.0347684i | ||||
\(952\) | −5.82275 | + | 107.394i | −0.188717 | + | 3.48067i | ||||
\(953\) | 18.4851 | + | 17.5100i | 0.598790 | + | 0.567204i | 0.925894 | − | 0.377784i | \(-0.123314\pi\) |
−0.327103 | + | 0.944989i | \(0.606072\pi\) | |||||||
\(954\) | −1.27864 | − | 0.971994i | −0.0413974 | − | 0.0314695i | ||||
\(955\) | 11.3819 | + | 16.7871i | 0.368310 | + | 0.543217i | ||||
\(956\) | 8.49842 | − | 0.924259i | 0.274859 | − | 0.0298927i | ||||
\(957\) | 7.80098 | − | 7.38948i | 0.252170 | − | 0.238868i | ||||
\(958\) | 29.3039 | + | 34.4992i | 0.946765 | + | 1.11462i | ||||
\(959\) | 23.7504 | − | 44.7981i | 0.766942 | − | 1.44661i | ||||
\(960\) | 3.85927 | − | 5.69200i | 0.124558 | − | 0.183709i | ||||
\(961\) | 12.2990 | − | 4.14401i | 0.396742 | − | 0.133678i | ||||
\(962\) | −7.84815 | − | 28.2665i | −0.253035 | − | 0.911348i | ||||
\(963\) | −1.60842 | + | 9.81093i | −0.0518306 | + | 0.316153i | ||||
\(964\) | 3.51908 | + | 8.83223i | 0.113342 | + | 0.284467i | ||||
\(965\) | −0.375658 | + | 0.442259i | −0.0120929 | + | 0.0142368i | ||||
\(966\) | −0.685849 | − | 12.6497i | −0.0220668 | − | 0.406999i | ||||
\(967\) | 9.62691 | − | 34.6730i | 0.309581 | − | 1.11501i | −0.631096 | − | 0.775705i | \(-0.717395\pi\) |
0.940677 | − | 0.339304i | \(-0.110192\pi\) | |||||||
\(968\) | 25.8259 | + | 11.9483i | 0.830075 | + | 0.384034i | ||||
\(969\) | 39.9404 | + | 8.79155i | 1.28307 | + | 0.282425i | ||||
\(970\) | −9.30059 | + | 2.04722i | −0.298624 | + | 0.0657321i | ||||
\(971\) | 26.1848 | − | 12.1144i | 0.840312 | − | 0.388770i | 0.0479711 | − | 0.998849i | \(-0.484724\pi\) |
0.792340 | + | 0.610079i | \(0.208862\pi\) | |||||||
\(972\) | −0.106645 | − | 0.650504i | −0.00342063 | − | 0.0208649i | ||||
\(973\) | −70.8179 | + | 42.6097i | −2.27032 | + | 1.36601i | ||||
\(974\) | 17.0384 | − | 10.2516i | 0.545944 | − | 0.328484i | ||||
\(975\) | 2.22043 | + | 13.5440i | 0.0711106 | + | 0.433755i | ||||
\(976\) | 21.1586 | − | 9.78900i | 0.677269 | − | 0.313338i | ||||
\(977\) | 26.9648 | − | 5.93540i | 0.862680 | − | 0.189890i | 0.238473 | − | 0.971149i | \(-0.423353\pi\) |
0.624207 | + | 0.781259i | \(0.285422\pi\) | |||||||
\(978\) | 13.0775 | + | 2.87858i | 0.418173 | + | 0.0920469i | ||||
\(979\) | −8.40952 | − | 3.89066i | −0.268769 | − | 0.124346i | ||||
\(980\) | −1.76685 | + | 6.36362i | −0.0564400 | + | 0.203278i | ||||
\(981\) | −0.282882 | − | 5.21745i | −0.00903173 | − | 0.166581i | ||||
\(982\) | −24.6465 | + | 29.0161i | −0.786503 | + | 0.925943i | ||||
\(983\) | 1.23721 | + | 3.10515i | 0.0394607 | + | 0.0990390i | 0.947386 | − | 0.320092i | \(-0.103714\pi\) |
−0.907926 | + | 0.419131i | \(0.862335\pi\) | |||||||
\(984\) | 3.01730 | − | 18.4047i | 0.0961879 | − | 0.586720i | ||||
\(985\) | 0.560570 | + | 2.01899i | 0.0178612 | + | 0.0643304i | ||||
\(986\) | 70.2452 | − | 23.6684i | 2.23706 | − | 0.753754i | ||||
\(987\) | −9.23170 | + | 13.6157i | −0.293848 | + | 0.433394i | ||||
\(988\) | −5.02872 | + | 9.48516i | −0.159985 | + | 0.301763i | ||||
\(989\) | −18.2462 | − | 21.4811i | −0.580195 | − | 0.683059i | ||||
\(990\) | 0.890185 | − | 0.843228i | 0.0282919 | − | 0.0267996i | ||||
\(991\) | 3.89177 | − | 0.423256i | 0.123626 | − | 0.0134452i | −0.0460967 | − | 0.998937i | \(-0.514678\pi\) |
0.169723 | + | 0.985492i | \(0.445713\pi\) | |||||||
\(992\) | −8.47243 | − | 12.4959i | −0.269000 | − | 0.396745i | ||||
\(993\) | 8.75260 | + | 6.65356i | 0.277755 | + | 0.211144i | ||||
\(994\) | 1.62138 | + | 1.53585i | 0.0514271 | + | 0.0487143i | ||||
\(995\) | 0.0421169 | − | 0.776801i | 0.00133520 | − | 0.0246262i | ||||
\(996\) | 2.29936 | + | 0.774744i | 0.0728580 | + | 0.0245487i | ||||
\(997\) | 18.0485 | − | 13.7201i | 0.571603 | − | 0.434521i | −0.279029 | − | 0.960283i | \(-0.590013\pi\) |
0.850632 | + | 0.525761i | \(0.176220\pi\) | |||||||
\(998\) | 49.4389 | + | 5.37680i | 1.56496 | + | 0.170200i | ||||
\(999\) | −3.77185 | − | 7.11447i | −0.119336 | − | 0.225092i |
(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 | 177.2.e.b.139.2 | ✓ | 140 | |
3.2 | odd | 2 | 531.2.i.b.316.4 | 140 | |||
59.45 | even | 29 | inner | 177.2.e.b.163.2 | yes | 140 | |
177.104 | odd | 58 | 531.2.i.b.163.4 | 140 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.2.e.b.139.2 | ✓ | 140 | 1.1 | even | 1 | trivial | |
177.2.e.b.163.2 | yes | 140 | 59.45 | even | 29 | inner | |
531.2.i.b.163.4 | 140 | 177.104 | odd | 58 | |||
531.2.i.b.316.4 | 140 | 3.2 | odd | 2 |