Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [201,2,Mod(4,201)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(201, base_ring=CyclotomicField(66))
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("201.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 201 = 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 201.m (of order \(33\), degree \(20\), 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: | \(1.60499308063\) |
Analytic rank: | \(0\) |
Dimension: | \(100\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 4.4 | ||
Character | \(\chi\) | \(=\) | 201.4 |
Dual form | 201.2.m.a.151.4 |
$q$-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 \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).
\(n\) | \(68\) | \(136\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{33}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.11009 | + | 0.106001i | 0.784953 | + | 0.0749539i | 0.479833 | − | 0.877360i | \(-0.340697\pi\) |
0.305120 | + | 0.952314i | \(0.401303\pi\) | |||||||
\(3\) | −0.841254 | − | 0.540641i | −0.485698 | − | 0.312139i | ||||
\(4\) | −0.742792 | − | 0.143161i | −0.371396 | − | 0.0715807i | ||||
\(5\) | −0.436900 | − | 3.03870i | −0.195388 | − | 1.35895i | −0.817458 | − | 0.575989i | \(-0.804617\pi\) |
0.622070 | − | 0.782961i | \(-0.286292\pi\) | |||||||
\(6\) | −0.876559 | − | 0.689334i | −0.357854 | − | 0.281419i | ||||
\(7\) | 0.656215 | − | 0.921525i | 0.248026 | − | 0.348304i | −0.671729 | − | 0.740797i | \(-0.734448\pi\) |
0.919755 | + | 0.392493i | \(0.128387\pi\) | |||||||
\(8\) | −2.94933 | − | 0.866001i | −1.04275 | − | 0.306178i | ||||
\(9\) | 0.415415 | + | 0.909632i | 0.138472 | + | 0.303211i | ||||
\(10\) | −0.162893 | − | 3.41955i | −0.0515114 | − | 1.08136i | ||||
\(11\) | 2.03386 | − | 1.59944i | 0.613231 | − | 0.482250i | −0.262576 | − | 0.964911i | \(-0.584572\pi\) |
0.875807 | + | 0.482661i | \(0.160330\pi\) | |||||||
\(12\) | 0.547477 | + | 0.522019i | 0.158043 | + | 0.150694i | ||||
\(13\) | 0.119616 | − | 0.493063i | 0.0331755 | − | 0.136751i | −0.952815 | − | 0.303550i | \(-0.901828\pi\) |
0.985991 | + | 0.166799i | \(0.0533431\pi\) | |||||||
\(14\) | 0.826141 | − | 0.953418i | 0.220795 | − | 0.254812i | ||||
\(15\) | −1.27530 | + | 2.79253i | −0.329282 | + | 0.721027i | ||||
\(16\) | −1.77768 | − | 0.711674i | −0.444419 | − | 0.177919i | ||||
\(17\) | −0.655862 | + | 0.126407i | −0.159070 | + | 0.0306582i | −0.268164 | − | 0.963373i | \(-0.586417\pi\) |
0.109094 | + | 0.994031i | \(0.465205\pi\) | |||||||
\(18\) | 0.364727 | + | 1.05381i | 0.0859669 | + | 0.248385i | ||||
\(19\) | 2.28929 | + | 3.21486i | 0.525200 | + | 0.737540i | 0.988921 | − | 0.148441i | \(-0.0474255\pi\) |
−0.463721 | + | 0.885981i | \(0.653486\pi\) | |||||||
\(20\) | −0.110500 | + | 2.31967i | −0.0247085 | + | 0.518695i | ||||
\(21\) | −1.05026 | + | 0.420460i | −0.229185 | + | 0.0917518i | ||||
\(22\) | 2.42731 | − | 1.55994i | 0.517504 | − | 0.332580i | ||||
\(23\) | 4.23088 | − | 2.18117i | 0.882200 | − | 0.454806i | 0.0432815 | − | 0.999063i | \(-0.486219\pi\) |
0.838918 | + | 0.544257i | \(0.183188\pi\) | |||||||
\(24\) | 2.01294 | + | 2.32305i | 0.410889 | + | 0.474192i | ||||
\(25\) | −4.24538 | + | 1.24656i | −0.849076 | + | 0.249311i | ||||
\(26\) | 0.185050 | − | 0.534666i | 0.0362912 | − | 0.104857i | ||||
\(27\) | 0.142315 | − | 0.989821i | 0.0273885 | − | 0.190491i | ||||
\(28\) | −0.619358 | + | 0.590557i | −0.117048 | + | 0.111605i | ||||
\(29\) | 2.53092 | + | 4.38368i | 0.469980 | + | 0.814029i | 0.999411 | − | 0.0343243i | \(-0.0109279\pi\) |
−0.529431 | + | 0.848353i | \(0.677595\pi\) | |||||||
\(30\) | −1.71171 | + | 2.96478i | −0.312515 | + | 0.541291i | ||||
\(31\) | −0.447781 | − | 1.84578i | −0.0804238 | − | 0.331511i | 0.917359 | − | 0.398060i | \(-0.130316\pi\) |
−0.997783 | + | 0.0665486i | \(0.978801\pi\) | |||||||
\(32\) | 3.56633 | + | 1.83857i | 0.630445 | + | 0.325017i | ||||
\(33\) | −2.57571 | + | 0.245951i | −0.448374 | + | 0.0428146i | ||||
\(34\) | −0.741466 | + | 0.0708014i | −0.127160 | + | 0.0121423i | ||||
\(35\) | −3.08694 | − | 1.59143i | −0.521789 | − | 0.269001i | ||||
\(36\) | −0.178343 | − | 0.735139i | −0.0297238 | − | 0.122523i | ||||
\(37\) | −5.95700 | + | 10.3178i | −0.979325 | + | 1.69624i | −0.314473 | + | 0.949266i | \(0.601828\pi\) |
−0.664852 | + | 0.746975i | \(0.731506\pi\) | |||||||
\(38\) | 2.20055 | + | 3.81146i | 0.356976 | + | 0.618300i | ||||
\(39\) | −0.367197 | + | 0.350122i | −0.0587987 | + | 0.0560644i | ||||
\(40\) | −1.34296 | + | 9.34050i | −0.212341 | + | 1.47686i | ||||
\(41\) | 2.32527 | − | 6.71843i | 0.363146 | − | 1.04924i | −0.604429 | − | 0.796659i | \(-0.706599\pi\) |
0.967575 | − | 0.252583i | \(-0.0812802\pi\) | |||||||
\(42\) | −1.21045 | + | 0.355420i | −0.186777 | + | 0.0548425i | ||||
\(43\) | −2.52606 | − | 2.91523i | −0.385220 | − | 0.444568i | 0.529711 | − | 0.848178i | \(-0.322301\pi\) |
−0.914931 | + | 0.403611i | \(0.867755\pi\) | |||||||
\(44\) | −1.73971 | + | 0.896884i | −0.262271 | + | 0.135210i | ||||
\(45\) | 2.58261 | − | 1.65974i | 0.384993 | − | 0.247420i | ||||
\(46\) | 4.92787 | − | 1.97282i | 0.726575 | − | 0.290877i | ||||
\(47\) | 0.517123 | − | 10.8558i | 0.0754302 | − | 1.58347i | −0.571291 | − | 0.820748i | \(-0.693557\pi\) |
0.646721 | − | 0.762727i | \(-0.276140\pi\) | |||||||
\(48\) | 1.11072 | + | 1.55978i | 0.160318 | + | 0.225135i | ||||
\(49\) | 1.87089 | + | 5.40557i | 0.267269 | + | 0.772224i | ||||
\(50\) | −4.84489 | + | 0.933777i | −0.685172 | + | 0.132056i | ||||
\(51\) | 0.620087 | + | 0.248245i | 0.0868296 | + | 0.0347613i | ||||
\(52\) | −0.159437 | + | 0.349119i | −0.0221100 | + | 0.0484141i | ||||
\(53\) | 2.68554 | − | 3.09928i | 0.368887 | − | 0.425718i | −0.540711 | − | 0.841209i | \(-0.681845\pi\) |
0.909598 | + | 0.415490i | \(0.136390\pi\) | |||||||
\(54\) | 0.262904 | − | 1.08371i | 0.0357767 | − | 0.147474i | ||||
\(55\) | −5.74883 | − | 5.48150i | −0.775172 | − | 0.739125i | ||||
\(56\) | −2.73344 | + | 2.14960i | −0.365271 | + | 0.287252i | ||||
\(57\) | −0.187790 | − | 3.94220i | −0.0248734 | − | 0.522157i | ||||
\(58\) | 2.34488 | + | 5.13456i | 0.307897 | + | 0.674201i | ||||
\(59\) | 9.97475 | + | 2.92885i | 1.29860 | + | 0.381304i | 0.856726 | − | 0.515772i | \(-0.172495\pi\) |
0.441876 | + | 0.897076i | \(0.354313\pi\) | |||||||
\(60\) | 1.34707 | − | 1.89169i | 0.173906 | − | 0.244216i | ||||
\(61\) | −0.0373233 | − | 0.0293513i | −0.00477875 | − | 0.00375805i | 0.615767 | − | 0.787928i | \(-0.288846\pi\) |
−0.620546 | + | 0.784170i | \(0.713089\pi\) | |||||||
\(62\) | −0.301423 | − | 2.09645i | −0.0382808 | − | 0.266249i | ||||
\(63\) | 1.11085 | + | 0.214099i | 0.139954 | + | 0.0269739i | ||||
\(64\) | 6.98580 | + | 4.48950i | 0.873225 | + | 0.561188i | ||||
\(65\) | −1.55053 | − | 0.148058i | −0.192320 | − | 0.0183643i | ||||
\(66\) | −2.88535 | −0.355162 | ||||||||
\(67\) | 8.17194 | − | 0.468392i | 0.998361 | − | 0.0572232i | ||||
\(68\) | 0.505266 | 0.0612725 | ||||||||
\(69\) | −4.73847 | − | 0.452469i | −0.570445 | − | 0.0544709i | ||||
\(70\) | −3.25810 | − | 2.09385i | −0.389417 | − | 0.250263i | ||||
\(71\) | −12.8385 | − | 2.47443i | −1.52365 | − | 0.293660i | −0.642425 | − | 0.766349i | \(-0.722071\pi\) |
−0.881230 | + | 0.472689i | \(0.843284\pi\) | |||||||
\(72\) | −0.437453 | − | 3.04255i | −0.0515544 | − | 0.358569i | ||||
\(73\) | −0.950240 | − | 0.747277i | −0.111217 | − | 0.0874622i | 0.561002 | − | 0.827815i | \(-0.310416\pi\) |
−0.672219 | + | 0.740353i | \(0.734659\pi\) | |||||||
\(74\) | −7.70651 | + | 10.8223i | −0.895864 | + | 1.25806i | ||||
\(75\) | 4.24538 | + | 1.24656i | 0.490214 | + | 0.143940i | ||||
\(76\) | −1.24022 | − | 2.71571i | −0.142263 | − | 0.311514i | ||||
\(77\) | −0.139279 | − | 2.92383i | −0.0158723 | − | 0.333201i | ||||
\(78\) | −0.444736 | + | 0.349744i | −0.0503564 | + | 0.0396007i | ||||
\(79\) | 0.693158 | + | 0.660925i | 0.0779863 | + | 0.0743598i | 0.728070 | − | 0.685503i | \(-0.240418\pi\) |
−0.650084 | + | 0.759863i | \(0.725266\pi\) | |||||||
\(80\) | −1.38590 | + | 5.71277i | −0.154949 | + | 0.638707i | ||||
\(81\) | −0.654861 | + | 0.755750i | −0.0727623 | + | 0.0839722i | ||||
\(82\) | 3.29342 | − | 7.21159i | 0.363698 | − | 0.796387i | ||||
\(83\) | 5.90078 | + | 2.36232i | 0.647695 | + | 0.259298i | 0.672164 | − | 0.740403i | \(-0.265365\pi\) |
−0.0244686 | + | 0.999701i | \(0.507789\pi\) | |||||||
\(84\) | 0.840316 | − | 0.161958i | 0.0916860 | − | 0.0176710i | ||||
\(85\) | 0.670660 | + | 1.93774i | 0.0727433 | + | 0.210178i | ||||
\(86\) | −2.49514 | − | 3.50393i | −0.269058 | − | 0.377838i | ||||
\(87\) | 0.240852 | − | 5.05610i | 0.0258220 | − | 0.542071i | ||||
\(88\) | −7.38364 | + | 2.95596i | −0.787098 | + | 0.315107i | ||||
\(89\) | 1.69546 | − | 1.08961i | 0.179719 | − | 0.115498i | −0.447688 | − | 0.894190i | \(-0.647753\pi\) |
0.627407 | + | 0.778692i | \(0.284116\pi\) | |||||||
\(90\) | 3.04286 | − | 1.56871i | 0.320746 | − | 0.165356i | ||||
\(91\) | −0.375877 | − | 0.433785i | −0.0394026 | − | 0.0454730i | ||||
\(92\) | −3.45492 | + | 1.01446i | −0.360201 | + | 0.105764i | ||||
\(93\) | −0.621205 | + | 1.79486i | −0.0644160 | + | 0.186118i | ||||
\(94\) | 1.72477 | − | 11.9961i | 0.177897 | − | 1.23730i | ||||
\(95\) | 8.76883 | − | 8.36106i | 0.899663 | − | 0.857827i | ||||
\(96\) | −2.00618 | − | 3.47481i | −0.204755 | − | 0.354647i | ||||
\(97\) | −7.91937 | + | 13.7168i | −0.804090 | + | 1.39273i | 0.112813 | + | 0.993616i | \(0.464014\pi\) |
−0.916904 | + | 0.399109i | \(0.869320\pi\) | |||||||
\(98\) | 1.50386 | + | 6.19899i | 0.151913 | + | 0.626192i | ||||
\(99\) | 2.29980 | + | 1.18563i | 0.231139 | + | 0.119160i | ||||
\(100\) | 3.33189 | − | 0.318157i | 0.333189 | − | 0.0318157i | ||||
\(101\) | 8.99744 | − | 0.859152i | 0.895279 | − | 0.0854888i | 0.362736 | − | 0.931892i | \(-0.381843\pi\) |
0.532543 | + | 0.846403i | \(0.321237\pi\) | |||||||
\(102\) | 0.662039 | + | 0.341305i | 0.0655516 | + | 0.0337942i | ||||
\(103\) | −3.31713 | − | 13.6734i | −0.326846 | − | 1.34728i | −0.863871 | − | 0.503713i | \(-0.831967\pi\) |
0.537025 | − | 0.843566i | \(-0.319548\pi\) | |||||||
\(104\) | −0.779780 | + | 1.35062i | −0.0764637 | + | 0.132439i | ||||
\(105\) | 1.73651 | + | 3.00772i | 0.169466 | + | 0.293524i | ||||
\(106\) | 3.30972 | − | 3.15581i | 0.321468 | − | 0.306519i | ||||
\(107\) | −2.77325 | + | 19.2884i | −0.268100 | + | 1.86468i | 0.198350 | + | 0.980131i | \(0.436442\pi\) |
−0.466450 | + | 0.884547i | \(0.654467\pi\) | |||||||
\(108\) | −0.247415 | + | 0.714857i | −0.0238075 | + | 0.0687872i | ||||
\(109\) | 0.211587 | − | 0.0621277i | 0.0202664 | − | 0.00595075i | −0.271584 | − | 0.962415i | \(-0.587547\pi\) |
0.291850 | + | 0.956464i | \(0.405729\pi\) | |||||||
\(110\) | −5.80068 | − | 6.69434i | −0.553073 | − | 0.638280i | ||||
\(111\) | 10.5896 | − | 5.45931i | 1.00512 | − | 0.518175i | ||||
\(112\) | −1.82236 | + | 1.17116i | −0.172197 | + | 0.110664i | ||||
\(113\) | −7.15365 | + | 2.86389i | −0.672959 | + | 0.269412i | −0.682871 | − | 0.730539i | \(-0.739269\pi\) |
0.00991233 | + | 0.999951i | \(0.496845\pi\) | |||||||
\(114\) | 0.209412 | − | 4.39611i | 0.0196133 | − | 0.411733i | ||||
\(115\) | −8.47641 | − | 11.9034i | −0.790429 | − | 1.11000i | ||||
\(116\) | −1.25237 | − | 3.61849i | −0.116280 | − | 0.335968i | ||||
\(117\) | 0.498196 | − | 0.0960195i | 0.0460583 | − | 0.00887701i | ||||
\(118\) | 10.7624 | + | 4.30862i | 0.990761 | + | 0.396641i | ||||
\(119\) | −0.313899 | + | 0.687344i | −0.0287751 | + | 0.0630087i | ||||
\(120\) | 6.17963 | − | 7.13167i | 0.564120 | − | 0.651029i | ||||
\(121\) | −1.01499 | + | 4.18385i | −0.0922719 | + | 0.380350i | ||||
\(122\) | −0.0383209 | − | 0.0365389i | −0.00346942 | − | 0.00330808i | ||||
\(123\) | −5.58840 | + | 4.39477i | −0.503889 | + | 0.396263i | ||||
\(124\) | 0.0683638 | + | 1.43513i | 0.00613925 | + | 0.128879i | ||||
\(125\) | −0.733799 | − | 1.60680i | −0.0656330 | − | 0.143716i | ||||
\(126\) | 1.21045 | + | 0.355420i | 0.107835 | + | 0.0316634i | ||||
\(127\) | 7.51020 | − | 10.5466i | 0.666423 | − | 0.935859i | −0.333554 | − | 0.942731i | \(-0.608248\pi\) |
0.999976 | + | 0.00687157i | \(0.00218731\pi\) | |||||||
\(128\) | 0.971112 | + | 0.763691i | 0.0858350 | + | 0.0675014i | ||||
\(129\) | 0.548965 | + | 3.81813i | 0.0483337 | + | 0.336168i | ||||
\(130\) | −1.70554 | − | 0.328716i | −0.149586 | − | 0.0288303i | ||||
\(131\) | 0.400015 | + | 0.257074i | 0.0349495 | + | 0.0224607i | 0.557999 | − | 0.829842i | \(-0.311569\pi\) |
−0.523049 | + | 0.852302i | \(0.675206\pi\) | |||||||
\(132\) | 1.94843 | + | 0.186053i | 0.169589 | + | 0.0161938i | ||||
\(133\) | 4.46485 | 0.387151 | ||||||||
\(134\) | 9.12125 | + | 0.346275i | 0.787956 | + | 0.0299136i | ||||
\(135\) | −3.06995 | −0.264219 | ||||||||
\(136\) | 2.04382 | + | 0.195161i | 0.175256 | + | 0.0167350i | ||||
\(137\) | −7.53990 | − | 4.84560i | −0.644177 | − | 0.413988i | 0.177357 | − | 0.984147i | \(-0.443245\pi\) |
−0.821534 | + | 0.570159i | \(0.806882\pi\) | |||||||
\(138\) | −5.21217 | − | 1.00456i | −0.443690 | − | 0.0855142i | ||||
\(139\) | −1.34912 | − | 9.38330i | −0.114430 | − | 0.795881i | −0.963521 | − | 0.267634i | \(-0.913758\pi\) |
0.849090 | − | 0.528248i | \(-0.177151\pi\) | |||||||
\(140\) | 2.06513 | + | 1.62403i | 0.174535 | + | 0.137256i | ||||
\(141\) | −6.30410 | + | 8.85286i | −0.530901 | + | 0.745546i | ||||
\(142\) | −13.9897 | − | 4.10773i | −1.17399 | − | 0.344713i | ||||
\(143\) | −0.545345 | − | 1.19414i | −0.0456041 | − | 0.0998590i | ||||
\(144\) | −0.0911118 | − | 1.91267i | −0.00759265 | − | 0.159389i | ||||
\(145\) | 12.2149 | − | 9.60594i | 1.01440 | − | 0.797730i | ||||
\(146\) | −0.975641 | − | 0.930272i | −0.0807446 | − | 0.0769898i | ||||
\(147\) | 1.34858 | − | 5.55893i | 0.111229 | − | 0.458493i | ||||
\(148\) | 5.90193 | − | 6.81119i | 0.485136 | − | 0.559876i | ||||
\(149\) | −7.18815 | + | 15.7399i | −0.588876 | + | 1.28946i | 0.347243 | + | 0.937775i | \(0.387118\pi\) |
−0.936119 | + | 0.351684i | \(0.885609\pi\) | |||||||
\(150\) | 4.58062 | + | 1.83380i | 0.374006 | + | 0.149730i | ||||
\(151\) | −16.0322 | + | 3.08996i | −1.30469 | + | 0.251457i | −0.793793 | − | 0.608188i | \(-0.791897\pi\) |
−0.510892 | + | 0.859645i | \(0.670685\pi\) | |||||||
\(152\) | −3.96781 | − | 11.4642i | −0.321831 | − | 0.929871i | ||||
\(153\) | −0.387439 | − | 0.544082i | −0.0313226 | − | 0.0439864i | ||||
\(154\) | 0.155316 | − | 3.26048i | 0.0125157 | − | 0.262737i | ||||
\(155\) | −5.41314 | + | 2.16709i | −0.434794 | + | 0.174065i | ||||
\(156\) | 0.322875 | − | 0.207499i | 0.0258507 | − | 0.0166132i | ||||
\(157\) | 2.47158 | − | 1.27419i | 0.197253 | − | 0.101691i | −0.356770 | − | 0.934192i | \(-0.616122\pi\) |
0.554024 | + | 0.832501i | \(0.313092\pi\) | |||||||
\(158\) | 0.699410 | + | 0.807162i | 0.0556420 | + | 0.0642143i | ||||
\(159\) | −3.93481 | + | 1.15537i | −0.312051 | + | 0.0916265i | ||||
\(160\) | 4.02875 | − | 11.6403i | 0.318501 | − | 0.920247i | ||||
\(161\) | 0.766365 | − | 5.33018i | 0.0603980 | − | 0.420077i | ||||
\(162\) | −0.807065 | + | 0.769535i | −0.0634090 | + | 0.0604604i | ||||
\(163\) | 4.60259 | + | 7.97193i | 0.360503 | + | 0.624410i | 0.988044 | − | 0.154174i | \(-0.0492717\pi\) |
−0.627541 | + | 0.778584i | \(0.715938\pi\) | |||||||
\(164\) | −2.68901 | + | 4.65751i | −0.209977 | + | 0.363690i | ||||
\(165\) | 1.87270 | + | 7.71938i | 0.145790 | + | 0.600953i | ||||
\(166\) | 6.30000 | + | 3.24787i | 0.488975 | + | 0.252084i | ||||
\(167\) | −6.83635 | + | 0.652793i | −0.529013 | + | 0.0505146i | −0.356146 | − | 0.934431i | \(-0.615909\pi\) |
−0.172867 | + | 0.984945i | \(0.555303\pi\) | |||||||
\(168\) | 3.46167 | − | 0.330550i | 0.267074 | − | 0.0255025i | ||||
\(169\) | 11.3261 | + | 5.83899i | 0.871235 | + | 0.449153i | ||||
\(170\) | 0.539091 | + | 2.22216i | 0.0413464 | + | 0.170432i | ||||
\(171\) | −1.97333 | + | 3.41792i | −0.150905 | + | 0.261375i | ||||
\(172\) | 1.45899 | + | 2.52704i | 0.111247 | + | 0.192685i | ||||
\(173\) | −17.0215 | + | 16.2299i | −1.29412 | + | 1.23394i | −0.337937 | + | 0.941169i | \(0.609729\pi\) |
−0.956182 | + | 0.292771i | \(0.905423\pi\) | |||||||
\(174\) | 0.803319 | − | 5.58720i | 0.0608994 | − | 0.423565i | ||||
\(175\) | −1.63715 | + | 4.73024i | −0.123757 | + | 0.357572i | ||||
\(176\) | −4.75382 | + | 1.39585i | −0.358333 | + | 0.105216i | ||||
\(177\) | −6.80784 | − | 7.85667i | −0.511709 | − | 0.590543i | ||||
\(178\) | 1.99762 | − | 1.02984i | 0.149728 | − | 0.0771899i | ||||
\(179\) | −13.7072 | + | 8.80909i | −1.02452 | + | 0.658422i | −0.941113 | − | 0.338093i | \(-0.890218\pi\) |
−0.0834122 | + | 0.996515i | \(0.526582\pi\) | |||||||
\(180\) | −2.15595 | + | 0.863113i | −0.160695 | + | 0.0643326i | ||||
\(181\) | −0.906372 | + | 19.0271i | −0.0673701 | + | 1.41427i | 0.671789 | + | 0.740742i | \(0.265526\pi\) |
−0.739159 | + | 0.673531i | \(0.764777\pi\) | |||||||
\(182\) | −0.371276 | − | 0.521384i | −0.0275208 | − | 0.0386475i | ||||
\(183\) | 0.0155298 | + | 0.0448704i | 0.00114800 | + | 0.00331692i | ||||
\(184\) | −14.3672 | + | 2.76904i | −1.05916 | + | 0.204137i | ||||
\(185\) | 33.9555 | + | 13.5937i | 2.49646 | + | 0.999430i | ||||
\(186\) | −0.879851 | + | 1.92660i | −0.0645138 | + | 0.141265i | ||||
\(187\) | −1.13175 | + | 1.30611i | −0.0827617 | + | 0.0955121i | ||||
\(188\) | −1.93824 | + | 7.98954i | −0.141361 | + | 0.582697i | ||||
\(189\) | −0.818756 | − | 0.780683i | −0.0595558 | − | 0.0567863i | ||||
\(190\) | 10.6205 | − | 8.35203i | 0.770490 | − | 0.605920i | ||||
\(191\) | −0.350161 | − | 7.35078i | −0.0253367 | − | 0.531884i | −0.975482 | − | 0.220077i | \(-0.929369\pi\) |
0.950146 | − | 0.311806i | \(-0.100934\pi\) | |||||||
\(192\) | −3.44962 | − | 7.55362i | −0.248955 | − | 0.545135i | ||||
\(193\) | 9.98525 | + | 2.93193i | 0.718754 | + | 0.211045i | 0.620601 | − | 0.784126i | \(-0.286888\pi\) |
0.0981526 | + | 0.995171i | \(0.468707\pi\) | |||||||
\(194\) | −10.2452 | + | 14.3874i | −0.735563 | + | 1.03295i | ||||
\(195\) | 1.22435 | + | 0.962836i | 0.0876772 | + | 0.0689502i | ||||
\(196\) | −0.615810 | − | 4.28305i | −0.0439864 | − | 0.305932i | ||||
\(197\) | 13.1116 | + | 2.52705i | 0.934160 | + | 0.180045i | 0.633549 | − | 0.773702i | \(-0.281597\pi\) |
0.300611 | + | 0.953747i | \(0.402809\pi\) | |||||||
\(198\) | 2.42731 | + | 1.55994i | 0.172501 | + | 0.110860i | ||||
\(199\) | 27.5370 | + | 2.62946i | 1.95204 | + | 0.186398i | 0.994720 | − | 0.102623i | \(-0.0327234\pi\) |
0.957323 | + | 0.289020i | \(0.0933295\pi\) | |||||||
\(200\) | 13.6005 | 0.961704 | ||||||||
\(201\) | −7.12791 | − | 4.02405i | −0.502764 | − | 0.283834i | ||||
\(202\) | 10.0791 | 0.709160 | ||||||||
\(203\) | 5.70050 | + | 0.544332i | 0.400097 | + | 0.0382046i | ||||
\(204\) | −0.425057 | − | 0.273167i | −0.0297599 | − | 0.0191255i | ||||
\(205\) | −21.4312 | − | 4.13053i | −1.49682 | − | 0.288489i | ||||
\(206\) | −2.23292 | − | 15.5303i | −0.155575 | − | 1.08205i | ||||
\(207\) | 3.74163 | + | 2.94245i | 0.260062 | + | 0.204515i | ||||
\(208\) | −0.563539 | + | 0.791380i | −0.0390744 | + | 0.0548723i | ||||
\(209\) | 9.79809 | + | 2.87698i | 0.677748 | + | 0.199005i | ||||
\(210\) | 1.60886 | + | 3.52292i | 0.111022 | + | 0.243104i | ||||
\(211\) | 0.864631 | + | 18.1508i | 0.0595236 | + | 1.24955i | 0.809114 | + | 0.587652i | \(0.199948\pi\) |
−0.749590 | + | 0.661903i | \(0.769749\pi\) | |||||||
\(212\) | −2.43849 | + | 1.91765i | −0.167476 | + | 0.131705i | ||||
\(213\) | 9.46269 | + | 9.02266i | 0.648373 | + | 0.618222i | ||||
\(214\) | −5.12315 | + | 21.1179i | −0.350211 | + | 1.44359i | ||||
\(215\) | −7.75488 | + | 8.94961i | −0.528878 | + | 0.610358i | ||||
\(216\) | −1.27692 | + | 2.79607i | −0.0868834 | + | 0.190248i | ||||
\(217\) | −1.99477 | − | 0.798586i | −0.135414 | − | 0.0542115i | ||||
\(218\) | 0.241467 | − | 0.0465389i | 0.0163542 | − | 0.00315201i | ||||
\(219\) | 0.395384 | + | 1.14239i | 0.0267176 | + | 0.0771954i | ||||
\(220\) | 3.48544 | + | 4.89462i | 0.234989 | + | 0.329995i | ||||
\(221\) | −0.0161248 | + | 0.338502i | −0.00108467 | + | 0.0227701i | ||||
\(222\) | 12.3341 | − | 4.93783i | 0.827811 | − | 0.331405i | ||||
\(223\) | 3.34623 | − | 2.15049i | 0.224080 | − | 0.144007i | −0.423785 | − | 0.905763i | \(-0.639299\pi\) |
0.647865 | + | 0.761756i | \(0.275662\pi\) | |||||||
\(224\) | 4.03458 | − | 2.07997i | 0.269571 | − | 0.138974i | ||||
\(225\) | −2.89750 | − | 3.34390i | −0.193167 | − | 0.222926i | ||||
\(226\) | −8.24478 | + | 2.42089i | −0.548434 | + | 0.161035i | ||||
\(227\) | 2.99544 | − | 8.65476i | 0.198814 | − | 0.574436i | −0.800888 | − | 0.598814i | \(-0.795639\pi\) |
0.999703 | + | 0.0243772i | \(0.00776026\pi\) | |||||||
\(228\) | −0.424882 | + | 2.95512i | −0.0281385 | + | 0.195707i | ||||
\(229\) | −9.46540 | + | 9.02524i | −0.625491 | + | 0.596405i | −0.935067 | − | 0.354470i | \(-0.884661\pi\) |
0.309576 | + | 0.950875i | \(0.399813\pi\) | |||||||
\(230\) | −8.14781 | − | 14.1124i | −0.537250 | − | 0.930545i | ||||
\(231\) | −1.46357 | + | 2.53498i | −0.0962960 | + | 0.166790i | ||||
\(232\) | −3.66824 | − | 15.1207i | −0.240832 | − | 0.992722i | ||||
\(233\) | −22.6462 | − | 11.6749i | −1.48360 | − | 0.764851i | −0.489369 | − | 0.872077i | \(-0.662773\pi\) |
−0.994235 | + | 0.107226i | \(0.965803\pi\) | |||||||
\(234\) | 0.563221 | − | 0.0537811i | 0.0368189 | − | 0.00351578i | ||||
\(235\) | −33.2134 | + | 3.17149i | −2.16660 | + | 0.206885i | ||||
\(236\) | −6.98987 | − | 3.60353i | −0.455002 | − | 0.234570i | ||||
\(237\) | −0.225799 | − | 0.930755i | −0.0146672 | − | 0.0604590i | ||||
\(238\) | −0.421316 | + | 0.729741i | −0.0273099 | + | 0.0473021i | ||||
\(239\) | 4.03617 | + | 6.99085i | 0.261078 | + | 0.452200i | 0.966529 | − | 0.256559i | \(-0.0825887\pi\) |
−0.705451 | + | 0.708759i | \(0.749255\pi\) | |||||||
\(240\) | 4.25445 | − | 4.05661i | 0.274623 | − | 0.261853i | ||||
\(241\) | −2.33082 | + | 16.2112i | −0.150141 | + | 1.04425i | 0.765839 | + | 0.643032i | \(0.222324\pi\) |
−0.915981 | + | 0.401223i | \(0.868585\pi\) | |||||||
\(242\) | −1.57022 | + | 4.53686i | −0.100938 | + | 0.291641i | ||||
\(243\) | 0.959493 | − | 0.281733i | 0.0615515 | − | 0.0180732i | ||||
\(244\) | 0.0235214 | + | 0.0271452i | 0.00150581 | + | 0.00173779i | ||||
\(245\) | 15.6085 | − | 8.04676i | 0.997193 | − | 0.514089i | ||||
\(246\) | −6.66948 | + | 4.28622i | −0.425231 | + | 0.273279i | ||||
\(247\) | 1.85897 | − | 0.744218i | 0.118283 | − | 0.0473535i | ||||
\(248\) | −0.277793 | + | 5.83158i | −0.0176398 | + | 0.370306i | ||||
\(249\) | −3.68689 | − | 5.17751i | −0.233647 | − | 0.328111i | ||||
\(250\) | −0.644262 | − | 1.86147i | −0.0407467 | − | 0.117730i | ||||
\(251\) | 7.85965 | − | 1.51482i | 0.496097 | − | 0.0956148i | 0.0649351 | − | 0.997889i | \(-0.479316\pi\) |
0.431162 | + | 0.902275i | \(0.358104\pi\) | |||||||
\(252\) | −0.794480 | − | 0.318062i | −0.0500475 | − | 0.0200360i | ||||
\(253\) | 5.11635 | − | 11.2032i | 0.321662 | − | 0.704342i | ||||
\(254\) | 9.45495 | − | 10.9116i | 0.593257 | − | 0.684655i | ||||
\(255\) | 0.483429 | − | 1.99272i | 0.0302735 | − | 0.124789i | ||||
\(256\) | −11.0228 | − | 10.5102i | −0.688922 | − | 0.656886i | ||||
\(257\) | −2.63851 | + | 2.07495i | −0.164586 | + | 0.129432i | −0.697055 | − | 0.717018i | \(-0.745507\pi\) |
0.532469 | + | 0.846449i | \(0.321264\pi\) | |||||||
\(258\) | 0.204675 | + | 4.29667i | 0.0127425 | + | 0.267499i | ||||
\(259\) | 5.59907 | + | 12.2602i | 0.347909 | + | 0.761815i | ||||
\(260\) | 1.13053 | + | 0.331953i | 0.0701124 | + | 0.0205869i | ||||
\(261\) | −2.93615 | + | 4.12325i | −0.181743 | + | 0.255223i | ||||
\(262\) | 0.416803 | + | 0.327777i | 0.0257502 | + | 0.0202502i | ||||
\(263\) | −0.968065 | − | 6.73304i | −0.0596934 | − | 0.415177i | −0.997655 | − | 0.0684386i | \(-0.978198\pi\) |
0.937962 | − | 0.346738i | \(-0.112711\pi\) | |||||||
\(264\) | 7.80962 | + | 1.50518i | 0.480649 | + | 0.0926375i | ||||
\(265\) | −10.5911 | − | 6.80648i | −0.650606 | − | 0.418119i | ||||
\(266\) | 4.95638 | + | 0.473277i | 0.303895 | + | 0.0290185i | ||||
\(267\) | −2.01540 | −0.123340 | ||||||||
\(268\) | −6.13711 | − | 0.821989i | −0.374883 | − | 0.0502110i | ||||
\(269\) | 1.86787 | 0.113886 | 0.0569431 | − | 0.998377i | \(-0.481865\pi\) | ||||
0.0569431 | + | 0.998377i | \(0.481865\pi\) | |||||||
\(270\) | −3.40793 | − | 0.325417i | −0.207400 | − | 0.0198043i | ||||
\(271\) | 26.0874 | + | 16.7654i | 1.58470 | + | 1.01842i | 0.973997 | + | 0.226563i | \(0.0727489\pi\) |
0.610702 | + | 0.791861i | \(0.290887\pi\) | |||||||
\(272\) | 1.25587 | + | 0.242049i | 0.0761484 | + | 0.0146764i | ||||
\(273\) | 0.0816858 | + | 0.568137i | 0.00494385 | + | 0.0343852i | ||||
\(274\) | −7.85634 | − | 6.17829i | −0.474619 | − | 0.373244i | ||||
\(275\) | −6.64070 | + | 9.32556i | −0.400449 | + | 0.562353i | ||||
\(276\) | 3.45492 | + | 1.01446i | 0.207962 | + | 0.0610632i | ||||
\(277\) | −13.7624 | − | 30.1355i | −0.826902 | − | 1.81066i | −0.501794 | − | 0.864987i | \(-0.667326\pi\) |
−0.325108 | − | 0.945677i | \(-0.605401\pi\) | |||||||
\(278\) | −0.503003 | − | 10.5593i | −0.0301681 | − | 0.633306i | ||||
\(279\) | 1.49296 | − | 1.17408i | 0.0893814 | − | 0.0702903i | ||||
\(280\) | 7.72624 | + | 7.36695i | 0.461731 | + | 0.440259i | ||||
\(281\) | 5.47227 | − | 22.5570i | 0.326448 | − | 1.34564i | −0.538012 | − | 0.842937i | \(-0.680825\pi\) |
0.864460 | − | 0.502701i | \(-0.167660\pi\) | |||||||
\(282\) | −7.93653 | + | 9.15924i | −0.472614 | + | 0.545425i | ||||
\(283\) | 12.4576 | − | 27.2783i | 0.740527 | − | 1.62153i | −0.0421598 | − | 0.999111i | \(-0.513424\pi\) |
0.782686 | − | 0.622416i | \(-0.213849\pi\) | |||||||
\(284\) | 9.18212 | + | 3.67597i | 0.544859 | + | 0.218128i | ||||
\(285\) | −11.8971 | + | 2.29298i | −0.704725 | + | 0.135825i | ||||
\(286\) | −0.478803 | − | 1.38341i | −0.0283122 | − | 0.0818028i | ||||
\(287\) | −4.66533 | − | 6.55153i | −0.275386 | − | 0.386725i | ||||
\(288\) | −0.190916 | + | 4.00782i | −0.0112498 | + | 0.236163i | ||||
\(289\) | −15.3681 | + | 6.15245i | −0.904005 | + | 0.361909i | ||||
\(290\) | 14.5779 | − | 9.36867i | 0.856046 | − | 0.550147i | ||||
\(291\) | 14.0780 | − | 7.25773i | 0.825269 | − | 0.425456i | ||||
\(292\) | 0.598849 | + | 0.691109i | 0.0350450 | + | 0.0404441i | ||||
\(293\) | 18.4964 | − | 5.43104i | 1.08057 | − | 0.317285i | 0.307465 | − | 0.951559i | \(-0.400519\pi\) |
0.773108 | + | 0.634275i | \(0.218701\pi\) | |||||||
\(294\) | 2.08630 | − | 6.02797i | 0.121675 | − | 0.351558i | ||||
\(295\) | 4.54195 | − | 31.5899i | 0.264442 | − | 1.83924i | ||||
\(296\) | 26.5044 | − | 25.2719i | 1.54054 | − | 1.46890i | ||||
\(297\) | −1.29372 | − | 2.24078i | −0.0750690 | − | 0.130023i | ||||
\(298\) | −9.64794 | + | 16.7107i | −0.558890 | + | 0.968026i | ||||
\(299\) | −0.569375 | − | 2.34700i | −0.0329278 | − | 0.135730i | ||||
\(300\) | −2.97498 | − | 1.53371i | −0.171760 | − | 0.0885486i | ||||
\(301\) | −4.34409 | + | 0.414811i | −0.250389 | + | 0.0239093i | ||||
\(302\) | −18.1248 | + | 1.73071i | −1.04296 | + | 0.0995910i | ||||
\(303\) | −8.03362 | − | 4.14162i | −0.461520 | − | 0.237930i | ||||
\(304\) | −1.78169 | − | 7.34422i | −0.102187 | − | 0.421220i | ||||
\(305\) | −0.0728835 | + | 0.126238i | −0.00417330 | + | 0.00722837i | ||||
\(306\) | −0.372419 | − | 0.645049i | −0.0212898 | − | 0.0368750i | ||||
\(307\) | 1.76280 | − | 1.68083i | 0.100608 | − | 0.0959298i | −0.638106 | − | 0.769949i | \(-0.720282\pi\) |
0.738714 | + | 0.674019i | \(0.235433\pi\) | |||||||
\(308\) | −0.315124 | + | 2.19174i | −0.0179559 | + | 0.124886i | ||||
\(309\) | −4.60185 | + | 13.2962i | −0.261790 | + | 0.756392i | ||||
\(310\) | −6.23879 | + | 1.83187i | −0.354339 | + | 0.104043i | ||||
\(311\) | −2.69423 | − | 3.10930i | −0.152776 | − | 0.176312i | 0.674203 | − | 0.738546i | \(-0.264487\pi\) |
−0.826978 | + | 0.562234i | \(0.809942\pi\) | |||||||
\(312\) | 1.38619 | − | 0.714632i | 0.0784777 | − | 0.0404581i | ||||
\(313\) | −14.4203 | + | 9.26733i | −0.815081 | + | 0.523821i | −0.880505 | − | 0.474037i | \(-0.842796\pi\) |
0.0654240 | + | 0.997858i | \(0.479160\pi\) | |||||||
\(314\) | 2.87874 | − | 1.15247i | 0.162457 | − | 0.0650379i | ||||
\(315\) | 0.165253 | − | 3.46909i | 0.00931095 | − | 0.195461i | ||||
\(316\) | −0.420253 | − | 0.590163i | −0.0236411 | − | 0.0331993i | ||||
\(317\) | −5.40947 | − | 15.6296i | −0.303826 | − | 0.877848i | −0.988796 | − | 0.149276i | \(-0.952306\pi\) |
0.684969 | − | 0.728572i | \(-0.259816\pi\) | |||||||
\(318\) | −4.49047 | + | 0.865467i | −0.251813 | + | 0.0485330i | ||||
\(319\) | 12.1590 | + | 4.86772i | 0.680772 | + | 0.272540i | ||||
\(320\) | 10.5902 | − | 23.1892i | 0.592009 | − | 1.29632i | ||||
\(321\) | 12.7611 | − | 14.7271i | 0.712255 | − | 0.821986i | ||||
\(322\) | 1.41574 | − | 5.83575i | 0.0788960 | − | 0.325214i | ||||
\(323\) | −1.90784 | − | 1.81912i | −0.106155 | − | 0.101219i | ||||
\(324\) | 0.594619 | − | 0.467614i | 0.0330344 | − | 0.0259785i | ||||
\(325\) | 0.106816 | + | 2.24235i | 0.00592510 | + | 0.124383i | ||||
\(326\) | 4.26427 | + | 9.33744i | 0.236176 | + | 0.517153i | ||||
\(327\) | −0.211587 | − | 0.0621277i | −0.0117008 | − | 0.00343567i | ||||
\(328\) | −12.6762 | + | 17.8012i | −0.699924 | + | 0.982906i | ||||
\(329\) | −9.66451 | − | 7.60026i | −0.532822 | − | 0.419016i | ||||
\(330\) | 1.26061 | + | 8.76772i | 0.0693942 | + | 0.482647i | ||||
\(331\) | 16.7752 | + | 3.23315i | 0.922047 | + | 0.177710i | 0.628119 | − | 0.778118i | \(-0.283825\pi\) |
0.293928 | + | 0.955828i | \(0.405037\pi\) | |||||||
\(332\) | −4.04486 | − | 2.59947i | −0.221991 | − | 0.142665i | ||||
\(333\) | −11.8601 | − | 1.13250i | −0.649927 | − | 0.0620605i | ||||
\(334\) | −7.65817 | −0.419036 | ||||||||
\(335\) | −4.99362 | − | 24.6275i | −0.272831 | − | 1.34554i | ||||
\(336\) | 2.16625 | 0.118179 | ||||||||
\(337\) | 31.1872 | + | 2.97801i | 1.69887 | + | 0.162223i | 0.899001 | − | 0.437946i | \(-0.144294\pi\) |
0.799873 | + | 0.600169i | \(0.204900\pi\) | |||||||
\(338\) | 11.9540 | + | 7.68238i | 0.650213 | + | 0.417866i | ||||
\(339\) | 7.56637 | + | 1.45830i | 0.410949 | + | 0.0792039i | ||||
\(340\) | −0.220750 | − | 1.53535i | −0.0119719 | − | 0.0832662i | ||||
\(341\) | −3.86294 | − | 3.03785i | −0.209190 | − | 0.164509i | ||||
\(342\) | −2.55288 | + | 3.58502i | −0.138044 | + | 0.193856i | ||||
\(343\) | 13.8074 | + | 4.05421i | 0.745527 | + | 0.218907i | ||||
\(344\) | 4.92559 | + | 10.7855i | 0.265570 | + | 0.581517i | ||||
\(345\) | 0.695317 | + | 14.5965i | 0.0374346 | + | 0.785850i | ||||
\(346\) | −20.6158 | + | 16.2124i | −1.10831 | + | 0.871585i | ||||
\(347\) | −6.94764 | − | 6.62456i | −0.372969 | − | 0.355625i | 0.480293 | − | 0.877108i | \(-0.340530\pi\) |
−0.853262 | + | 0.521483i | \(0.825379\pi\) | |||||||
\(348\) | −0.902742 | + | 3.72115i | −0.0483920 | + | 0.199475i | ||||
\(349\) | 1.09342 | − | 1.26188i | 0.0585295 | − | 0.0675467i | −0.725730 | − | 0.687980i | \(-0.758498\pi\) |
0.784259 | + | 0.620433i | \(0.213043\pi\) | |||||||
\(350\) | −2.31879 | + | 5.07745i | −0.123945 | + | 0.271401i | ||||
\(351\) | −0.471022 | − | 0.188569i | −0.0251413 | − | 0.0100650i | ||||
\(352\) | 10.1941 | − | 1.96475i | 0.543348 | − | 0.104722i | ||||
\(353\) | −0.822430 | − | 2.37626i | −0.0437736 | − | 0.126475i | 0.920996 | − | 0.389573i | \(-0.127377\pi\) |
−0.964769 | + | 0.263097i | \(0.915256\pi\) | |||||||
\(354\) | −6.72451 | − | 9.44325i | −0.357404 | − | 0.501903i | ||||
\(355\) | −1.90989 | + | 40.0936i | −0.101367 | + | 2.12795i | ||||
\(356\) | −1.41536 | + | 0.566626i | −0.0750142 | + | 0.0300311i | ||||
\(357\) | 0.635675 | − | 0.408524i | 0.0336435 | − | 0.0216214i | ||||
\(358\) | −16.1500 | + | 8.32591i | −0.853555 | + | 0.440038i | ||||
\(359\) | −4.73604 | − | 5.46569i | −0.249959 | − | 0.288468i | 0.616879 | − | 0.787058i | \(-0.288397\pi\) |
−0.866838 | + | 0.498590i | \(0.833851\pi\) | |||||||
\(360\) | −9.05430 | + | 2.65858i | −0.477204 | + | 0.140120i | ||||
\(361\) | 1.11981 | − | 3.23549i | 0.0589376 | − | 0.170289i | ||||
\(362\) | −3.02304 | + | 21.0257i | −0.158888 | + | 1.10509i | ||||
\(363\) | 3.11582 | − | 2.97093i | 0.163538 | − | 0.155933i | ||||
\(364\) | 0.217097 | + | 0.376023i | 0.0113790 | + | 0.0197090i | ||||
\(365\) | −1.85559 | + | 3.21398i | −0.0971263 | + | 0.168228i | ||||
\(366\) | 0.0124832 | + | 0.0514564i | 0.000652507 | + | 0.00268967i | ||||
\(367\) | −8.88473 | − | 4.58040i | −0.463779 | − | 0.239095i | 0.210468 | − | 0.977601i | \(-0.432501\pi\) |
−0.674247 | + | 0.738506i | \(0.735532\pi\) | |||||||
\(368\) | −9.07342 | + | 0.866407i | −0.472985 | + | 0.0451646i | ||||
\(369\) | 7.07725 | − | 0.675796i | 0.368427 | − | 0.0351805i | ||||
\(370\) | 36.2527 | + | 18.6896i | 1.88469 | + | 0.971624i | ||||
\(371\) | −1.09377 | − | 4.50858i | −0.0567857 | − | 0.234074i | ||||
\(372\) | 0.718380 | − | 1.24427i | 0.0372463 | − | 0.0645125i | ||||
\(373\) | −11.5365 | − | 19.9817i | −0.597335 | − | 1.03461i | −0.993213 | − | 0.116311i | \(-0.962893\pi\) |
0.395878 | − | 0.918303i | \(-0.370440\pi\) | |||||||
\(374\) | −1.39479 | + | 1.32993i | −0.0721230 | + | 0.0687692i | ||||
\(375\) | −0.251388 | + | 1.74844i | −0.0129816 | + | 0.0902893i | ||||
\(376\) | −10.9263 | + | 31.5694i | −0.563479 | + | 1.62807i | ||||
\(377\) | 2.46417 | − | 0.723545i | 0.126911 | − | 0.0372645i | ||||
\(378\) | −0.826141 | − | 0.953418i | −0.0424921 | − | 0.0490385i | ||||
\(379\) | −11.8437 | + | 6.10584i | −0.608369 | + | 0.313636i | −0.734742 | − | 0.678347i | \(-0.762697\pi\) |
0.126373 | + | 0.991983i | \(0.459666\pi\) | |||||||
\(380\) | −7.71039 | + | 4.95517i | −0.395535 | + | 0.254195i | ||||
\(381\) | −12.0199 | + | 4.81204i | −0.615798 | + | 0.246528i | ||||
\(382\) | 0.390478 | − | 8.19715i | 0.0199786 | − | 0.419403i | ||||
\(383\) | 5.85709 | + | 8.22513i | 0.299283 | + | 0.420285i | 0.936645 | − | 0.350280i | \(-0.113914\pi\) |
−0.637362 | + | 0.770565i | \(0.719974\pi\) | |||||||
\(384\) | −0.404069 | − | 1.16748i | −0.0206200 | − | 0.0595777i | ||||
\(385\) | −8.82381 | + | 1.70065i | −0.449703 | + | 0.0866731i | ||||
\(386\) | 10.7737 | + | 4.31316i | 0.548369 | + | 0.219534i | ||||
\(387\) | 1.60242 | − | 3.50881i | 0.0814556 | − | 0.178363i | ||||
\(388\) | 7.84615 | − | 9.05494i | 0.398328 | − | 0.459695i | ||||
\(389\) | 1.56400 | − | 6.44689i | 0.0792978 | − | 0.326870i | −0.918321 | − | 0.395836i | \(-0.870455\pi\) |
0.997619 | + | 0.0689660i | \(0.0219700\pi\) | |||||||
\(390\) | 1.25707 | + | 1.19862i | 0.0636544 | + | 0.0606944i | ||||
\(391\) | −2.49916 | + | 1.96536i | −0.126388 | + | 0.0993926i | ||||
\(392\) | −0.836628 | − | 17.5630i | −0.0422561 | − | 0.887065i | ||||
\(393\) | −0.197529 | − | 0.432529i | −0.00996403 | − | 0.0218182i | ||||
\(394\) | 14.2872 | + | 4.19509i | 0.719777 | + | 0.211345i | ||||
\(395\) | 1.70551 | − | 2.39506i | 0.0858137 | − | 0.120509i | ||||
\(396\) | −1.53854 | − | 1.20992i | −0.0773144 | − | 0.0608007i | ||||
\(397\) | −2.20037 | − | 15.3039i | −0.110433 | − | 0.768081i | −0.967499 | − | 0.252874i | \(-0.918624\pi\) |
0.857066 | − | 0.515207i | \(-0.172285\pi\) | |||||||
\(398\) | 30.2898 | + | 5.83788i | 1.51829 | + | 0.292627i | ||||
\(399\) | −3.75607 | − | 2.41388i | −0.188039 | − | 0.120845i | ||||
\(400\) | 8.43406 | + | 0.805355i | 0.421703 | + | 0.0402677i | ||||
\(401\) | −13.9246 | −0.695359 | −0.347679 | − | 0.937613i | \(-0.613030\pi\) | ||||
−0.347679 | + | 0.937613i | \(0.613030\pi\) | |||||||
\(402\) | −7.48607 | − | 5.22262i | −0.373371 | − | 0.260481i | ||||
\(403\) | −0.963647 | −0.0480027 | ||||||||
\(404\) | −6.80623 | − | 0.649916i | −0.338622 | − | 0.0323345i | ||||
\(405\) | 2.58261 | + | 1.65974i | 0.128331 | + | 0.0824732i | ||||
\(406\) | 6.27037 | + | 1.20852i | 0.311193 | + | 0.0599776i | ||||
\(407\) | 4.38709 | + | 30.5129i | 0.217460 | + | 1.51247i | ||||
\(408\) | −1.61386 | − | 1.26915i | −0.0798980 | − | 0.0628325i | ||||
\(409\) | 7.19131 | − | 10.0988i | 0.355587 | − | 0.499352i | −0.597575 | − | 0.801813i | \(-0.703869\pi\) |
0.953162 | + | 0.302461i | \(0.0978082\pi\) | |||||||
\(410\) | −23.3528 | − | 6.85700i | −1.15331 | − | 0.338643i | ||||
\(411\) | 3.72324 | + | 8.15276i | 0.183654 | + | 0.402146i | ||||
\(412\) | 0.506434 | + | 10.6314i | 0.0249502 | + | 0.523770i | ||||
\(413\) | 9.24460 | − | 7.27003i | 0.454897 | − | 0.357735i | ||||
\(414\) | 3.84165 | + | 3.66301i | 0.188807 | + | 0.180027i | ||||
\(415\) | 4.60033 | − | 18.9628i | 0.225822 | − | 0.930849i | ||||
\(416\) | 1.33312 | − | 1.53851i | 0.0653618 | − | 0.0754315i | ||||
\(417\) | −3.93805 | + | 8.62312i | −0.192847 | + | 0.422276i | ||||
\(418\) | 10.5718 | + | 4.23231i | 0.517084 | + | 0.207009i | ||||
\(419\) | −24.7582 | + | 4.77175i | −1.20952 | + | 0.233115i | −0.753856 | − | 0.657039i | \(-0.771809\pi\) |
−0.455659 | + | 0.890154i | \(0.650596\pi\) | |||||||
\(420\) | −0.859276 | − | 2.48271i | −0.0419284 | − | 0.121144i | ||||
\(421\) | 7.28472 | + | 10.2300i | 0.355036 | + | 0.498578i | 0.953011 | − | 0.302937i | \(-0.0979672\pi\) |
−0.597975 | + | 0.801515i | \(0.704028\pi\) | |||||||
\(422\) | −0.964185 | + | 20.2407i | −0.0469358 | + | 0.985303i | ||||
\(423\) | 10.0896 | − | 4.03925i | 0.490571 | − | 0.196395i | ||||
\(424\) | −10.6045 | + | 6.81511i | −0.515001 | + | 0.330971i | ||||
\(425\) | 2.62681 | − | 1.35422i | 0.127419 | − | 0.0656891i | ||||
\(426\) | 9.54804 | + | 11.0190i | 0.462604 | + | 0.533873i | ||||
\(427\) | −0.0515401 | + | 0.0151335i | −0.00249420 | + | 0.000732363i | ||||
\(428\) | 4.82130 | − | 13.9302i | 0.233046 | − | 0.673343i | ||||
\(429\) | −0.186827 | + | 1.29941i | −0.00902009 | + | 0.0627361i | ||||
\(430\) | −9.55728 | + | 9.11285i | −0.460893 | + | 0.439461i | ||||
\(431\) | 16.4770 | + | 28.5390i | 0.793669 | + | 1.37468i | 0.923681 | + | 0.383163i | \(0.125165\pi\) |
−0.130012 | + | 0.991512i | \(0.541502\pi\) | |||||||
\(432\) | −0.957420 | + | 1.65830i | −0.0460639 | + | 0.0797850i | ||||
\(433\) | −8.25398 | − | 34.0234i | −0.396661 | − | 1.63506i | −0.723748 | − | 0.690064i | \(-0.757582\pi\) |
0.327087 | − | 0.944994i | \(-0.393933\pi\) | |||||||
\(434\) | −2.12973 | − | 1.09795i | −0.102230 | − | 0.0527033i | ||||
\(435\) | −15.4692 | + | 1.47713i | −0.741693 | + | 0.0708231i | ||||
\(436\) | −0.166060 | + | 0.0158568i | −0.00795282 | + | 0.000759402i | ||||
\(437\) | 16.6979 | + | 8.60836i | 0.798769 | + | 0.411794i | ||||
\(438\) | 0.317819 | + | 1.31007i | 0.0151860 | + | 0.0625974i | ||||
\(439\) | 3.25632 | − | 5.64012i | 0.155416 | − | 0.269188i | −0.777795 | − | 0.628519i | \(-0.783662\pi\) |
0.933210 | + | 0.359331i | \(0.116995\pi\) | |||||||
\(440\) | 12.2082 | + | 21.1452i | 0.582003 | + | 1.00806i | ||||
\(441\) | −4.13988 | + | 3.94737i | −0.197137 | + | 0.187970i | ||||
\(442\) | −0.0537815 | + | 0.374059i | −0.00255813 | + | 0.0177922i | ||||
\(443\) | −12.9072 | + | 37.2928i | −0.613237 | + | 1.77183i | 0.0222863 | + | 0.999752i | \(0.492905\pi\) |
−0.635524 | + | 0.772081i | \(0.719216\pi\) | |||||||
\(444\) | −8.64743 | + | 2.53911i | −0.410389 | + | 0.120501i | ||||
\(445\) | −4.05174 | − | 4.67596i | −0.192071 | − | 0.221662i | ||||
\(446\) | 3.94257 | − | 2.03254i | 0.186686 | − | 0.0962434i | ||||
\(447\) | 14.5567 | − | 9.35500i | 0.688507 | − | 0.442476i | ||||
\(448\) | 8.72138 | − | 3.49151i | 0.412046 | − | 0.164958i | ||||
\(449\) | −1.01854 | + | 21.3819i | −0.0480681 | + | 1.00907i | 0.838044 | + | 0.545603i | \(0.183699\pi\) |
−0.886112 | + | 0.463471i | \(0.846604\pi\) | |||||||
\(450\) | −2.86204 | − | 4.01917i | −0.134918 | − | 0.189465i | ||||
\(451\) | −6.01648 | − | 17.3835i | −0.283305 | − | 0.818556i | ||||
\(452\) | 5.72367 | − | 1.10315i | 0.269219 | − | 0.0518877i | ||||
\(453\) | 15.1577 | + | 6.06824i | 0.712173 | + | 0.285111i | ||||
\(454\) | 4.24262 | − | 9.29005i | 0.199116 | − | 0.436004i | ||||
\(455\) | −1.15392 | + | 1.33170i | −0.0540968 | + | 0.0624310i | ||||
\(456\) | −2.86010 | + | 11.7895i | −0.133936 | + | 0.552093i | ||||
\(457\) | 8.89097 | + | 8.47752i | 0.415902 | + | 0.396562i | 0.868930 | − | 0.494934i | \(-0.164808\pi\) |
−0.453028 | + | 0.891496i | \(0.649656\pi\) | |||||||
\(458\) | −11.4641 | + | 9.01549i | −0.535684 | + | 0.421266i | ||||
\(459\) | 0.0317815 | + | 0.667176i | 0.00148343 | + | 0.0311411i | ||||
\(460\) | 4.59209 | + | 10.0553i | 0.214107 | + | 0.468830i | ||||
\(461\) | 15.7286 | + | 4.61833i | 0.732553 | + | 0.215097i | 0.626673 | − | 0.779282i | \(-0.284416\pi\) |
0.105879 | + | 0.994379i | \(0.466234\pi\) | |||||||
\(462\) | −1.89341 | + | 2.65892i | −0.0880894 | + | 0.123704i | ||||
\(463\) | 14.5198 | + | 11.4185i | 0.674793 | + | 0.530663i | 0.895715 | − | 0.444628i | \(-0.146664\pi\) |
−0.220922 | + | 0.975291i | \(0.570907\pi\) | |||||||
\(464\) | −1.37940 | − | 9.59395i | −0.0640371 | − | 0.445388i | ||||
\(465\) | 5.72544 | + | 1.10349i | 0.265511 | + | 0.0511730i | ||||
\(466\) | −23.9018 | − | 15.3608i | −1.10723 | − | 0.711574i | ||||
\(467\) | −9.12078 | − | 0.870929i | −0.422059 | − | 0.0403018i | −0.118134 | − | 0.992998i | \(-0.537691\pi\) |
−0.303925 | + | 0.952696i | \(0.598297\pi\) | |||||||
\(468\) | −0.383803 | −0.0177413 | ||||||||
\(469\) | 4.93092 | − | 7.83802i | 0.227689 | − | 0.361926i | ||||
\(470\) | −37.2060 | −1.71619 | ||||||||
\(471\) | −2.76810 | − | 0.264322i | −0.127547 | − | 0.0121793i | ||||
\(472\) | −26.8824 | − | 17.2763i | −1.23736 | − | 0.795206i | ||||
\(473\) | −9.80038 | − | 1.88887i | −0.450622 | − | 0.0868503i | ||||
\(474\) | −0.151996 | − | 1.05716i | −0.00698142 | − | 0.0485568i | ||||
\(475\) | −13.7264 | − | 10.7946i | −0.629812 | − | 0.495289i | ||||
\(476\) | 0.331563 | − | 0.465615i | 0.0151972 | − | 0.0213414i | ||||
\(477\) | 3.93481 | + | 1.15537i | 0.180163 | + | 0.0529006i | ||||
\(478\) | 3.73948 | + | 8.18831i | 0.171040 | + | 0.374525i | ||||
\(479\) | −1.30776 | − | 27.4532i | −0.0597529 | − | 1.25437i | −0.807293 | − | 0.590151i | \(-0.799068\pi\) |
0.747540 | − | 0.664217i | \(-0.231235\pi\) | |||||||
\(480\) | −9.68243 | + | 7.61435i | −0.441940 | + | 0.347546i | ||||
\(481\) | 4.37479 | + | 4.17136i | 0.199473 | + | 0.190197i | ||||
\(482\) | −4.30582 | + | 17.7488i | −0.196125 | + | 0.808437i | ||||
\(483\) | −3.52642 | + | 4.06971i | −0.160458 | + | 0.185178i | ||||
\(484\) | 1.35289 | − | 2.96242i | 0.0614951 | − | 0.134656i | ||||
\(485\) | 45.1411 | + | 18.0718i | 2.04975 | + | 0.820597i | ||||
\(486\) | 1.09499 | − | 0.211042i | 0.0496697 | − | 0.00957305i | ||||
\(487\) | −6.03457 | − | 17.4358i | −0.273453 | − | 0.790090i | −0.995194 | − | 0.0979264i | \(-0.968779\pi\) |
0.721741 | − | 0.692163i | \(-0.243342\pi\) | |||||||
\(488\) | 0.0846603 | + | 0.118889i | 0.00383239 | + | 0.00538184i | ||||
\(489\) | 0.438000 | − | 9.19476i | 0.0198071 | − | 0.415802i | ||||
\(490\) | 18.1799 | − | 7.27812i | 0.821282 | − | 0.328792i | ||||
\(491\) | 6.74856 | − | 4.33704i | 0.304558 | − | 0.195728i | −0.379430 | − | 0.925220i | \(-0.623880\pi\) |
0.683989 | + | 0.729492i | \(0.260244\pi\) | |||||||
\(492\) | 4.78018 | − | 2.46435i | 0.215507 | − | 0.111102i | ||||
\(493\) | −2.21406 | − | 2.55516i | −0.0997163 | − | 0.115079i | ||||
\(494\) | 2.14251 | − | 0.629098i | 0.0963961 | − | 0.0283044i | ||||
\(495\) | 2.59799 | − | 7.50641i | 0.116771 | − | 0.337388i | ||||
\(496\) | −0.517583 | + | 3.59987i | −0.0232402 | + | 0.161639i | ||||
\(497\) | −10.7051 | + | 10.2073i | −0.480189 | + | 0.457859i | ||||
\(498\) | −3.54396 | − | 6.13832i | −0.158809 | − | 0.275065i | ||||
\(499\) | −10.5982 | + | 18.3566i | −0.474441 | + | 0.821756i | −0.999572 | − | 0.0292655i | \(-0.990683\pi\) |
0.525130 | + | 0.851022i | \(0.324017\pi\) | |||||||
\(500\) | 0.315029 | + | 1.29857i | 0.0140885 | + | 0.0580737i | ||||
\(501\) | 6.10403 | + | 3.14685i | 0.272708 | + | 0.140591i | ||||
\(502\) | 8.88550 | − | 0.848463i | 0.396579 | − | 0.0378687i | ||||
\(503\) | −17.9900 | + | 1.71784i | −0.802136 | + | 0.0765947i | −0.488068 | − | 0.872806i | \(-0.662298\pi\) |
−0.314068 | + | 0.949400i | \(0.601692\pi\) | |||||||
\(504\) | −3.09085 | − | 1.59345i | −0.137678 | − | 0.0709777i | ||||
\(505\) | −6.54169 | − | 26.9652i | −0.291101 | − | 1.19994i | ||||
\(506\) | 6.86717 | − | 11.8943i | 0.305283 | − | 0.528765i | ||||
\(507\) | −6.37129 | − | 11.0354i | −0.282959 | − | 0.490099i | ||||
\(508\) | −7.08838 | + | 6.75876i | −0.314496 | + | 0.299871i | ||||
\(509\) | −0.489594 | + | 3.40520i | −0.0217009 | + | 0.150933i | −0.997791 | − | 0.0664341i | \(-0.978838\pi\) |
0.976090 | + | 0.217367i | \(0.0697469\pi\) | |||||||
\(510\) | 0.747880 | − | 2.16086i | 0.0331167 | − | 0.0956843i | ||||
\(511\) | −1.31220 | + | 0.385296i | −0.0580482 | + | 0.0170445i | ||||
\(512\) | −12.7402 | − | 14.7030i | −0.563044 | − | 0.649788i | ||||
\(513\) | 3.50794 | − | 1.80847i | 0.154879 | − | 0.0798458i | ||||
\(514\) | −3.14893 | + | 2.02369i | −0.138893 | + | 0.0892614i | ||||
\(515\) | −40.1001 | + | 16.0537i | −1.76702 | + | 0.707409i | ||||
\(516\) | 0.138843 | − | 2.91467i | 0.00611221 | − | 0.128311i | ||||
\(517\) | −16.3114 | − | 22.9062i | −0.717375 | − | 1.00741i | ||||
\(518\) | 4.91588 | + | 14.2035i | 0.215991 | + | 0.624066i | ||||
\(519\) | 23.0940 | − | 4.45099i | 1.01371 | − | 0.195377i | ||||
\(520\) | 4.44482 | + | 1.77944i | 0.194918 | + | 0.0780335i | ||||
\(521\) | 6.58046 | − | 14.4092i | 0.288295 | − | 0.631279i | −0.708966 | − | 0.705243i | \(-0.750838\pi\) |
0.997261 | + | 0.0739645i | \(0.0235651\pi\) | |||||||
\(522\) | −3.69646 | + | 4.26595i | −0.161790 | + | 0.186715i | ||||
\(523\) | 4.10252 | − | 16.9108i | 0.179391 | − | 0.739459i | −0.809036 | − | 0.587759i | \(-0.800010\pi\) |
0.988427 | − | 0.151700i | \(-0.0484747\pi\) | |||||||
\(524\) | −0.260325 | − | 0.248219i | −0.0113723 | − | 0.0108435i | ||||
\(525\) | 3.93462 | − | 3.09422i | 0.171721 | − | 0.135043i | ||||
\(526\) | −0.360932 | − | 7.57690i | −0.0157374 | − | 0.330369i | ||||
\(527\) | 0.527002 | + | 1.15397i | 0.0229566 | + | 0.0502678i | ||||
\(528\) | 4.75382 | + | 1.39585i | 0.206884 | + | 0.0607465i | ||||
\(529\) | −0.198456 | + | 0.278692i | −0.00862851 | + | 0.0121170i | ||||
\(530\) | −11.0356 | − | 8.67848i | −0.479355 | − | 0.376969i | ||||
\(531\) | 1.47948 | + | 10.2900i | 0.0642042 | + | 0.446550i | ||||
\(532\) | −3.31645 | − | 0.639194i | −0.143786 | − | 0.0277126i | ||||
\(533\) | −3.03447 | − | 1.95014i | −0.131438 | − | 0.0844698i | ||||
\(534\) | −2.23728 | − | 0.213634i | −0.0968164 | − | 0.00924484i | ||||
\(535\) | 59.8233 | 2.58639 | ||||||||
\(536\) | −24.5074 | − | 5.69547i | −1.05856 | − | 0.246007i | ||||
\(537\) | 16.2938 | 0.703129 | ||||||||
\(538\) | 2.07351 | + | 0.197996i | 0.0893952 | + | 0.00853621i | ||||
\(539\) | 12.4510 | + | 8.00178i | 0.536303 | + | 0.344661i | ||||
\(540\) | 2.28034 | + | 0.439499i | 0.0981300 | + | 0.0189130i | ||||
\(541\) | 2.64377 | + | 18.3878i | 0.113664 | + | 0.790554i | 0.964303 | + | 0.264802i | \(0.0853067\pi\) |
−0.850638 | + | 0.525752i | \(0.823784\pi\) | |||||||
\(542\) | 27.1823 | + | 21.3764i | 1.16758 | + | 0.918194i | ||||
\(543\) | 11.0493 | − | 15.5166i | 0.474171 | − | 0.665881i | ||||
\(544\) | −2.57143 | − | 0.755041i | −0.110249 | − | 0.0323721i | ||||
\(545\) | −0.281230 | − | 0.615808i | −0.0120466 | − | 0.0263783i | ||||
\(546\) | 0.0304556 | + | 0.639343i | 0.00130338 | + | 0.0273613i | ||||
\(547\) | −6.51860 | + | 5.12628i | −0.278715 | + | 0.219184i | −0.747724 | − | 0.664009i | \(-0.768854\pi\) |
0.469009 | + | 0.883193i | \(0.344611\pi\) | |||||||
\(548\) | 4.90688 | + | 4.67870i | 0.209611 | + | 0.199864i | ||||
\(549\) | 0.0111943 | − | 0.0461434i | 0.000477760 | − | 0.00196935i | ||||
\(550\) | −8.36030 | + | 9.64830i | −0.356484 | + | 0.411405i | ||||
\(551\) | −8.29891 | + | 18.1721i | −0.353545 | + | 0.774157i | ||||
\(552\) | 13.5835 | + | 5.43801i | 0.578152 | + | 0.231457i | ||||
\(553\) | 1.06392 | − | 0.205054i | 0.0452425 | − | 0.00871977i | ||||
\(554\) | −12.0831 | − | 34.9119i | −0.513363 | − | 1.48327i | ||||
\(555\) | −21.2158 | − | 29.7935i | −0.900562 | − | 1.26466i | ||||
\(556\) | −0.341215 | + | 7.16298i | −0.0144707 | + | 0.303778i | ||||
\(557\) | 21.8421 | − | 8.74425i | 0.925479 | − | 0.370506i | 0.140537 | − | 0.990075i | \(-0.455117\pi\) |
0.784942 | + | 0.619569i | \(0.212693\pi\) | |||||||
\(558\) | 1.78178 | − | 1.14508i | 0.0754287 | − | 0.0484751i | ||||
\(559\) | −1.73955 | + | 0.896799i | −0.0735750 | + | 0.0379306i | ||||
\(560\) | 4.35501 | + | 5.02595i | 0.184033 | + | 0.212385i | ||||
\(561\) | 1.65822 | − | 0.486898i | 0.0700102 | − | 0.0205569i | ||||
\(562\) | 8.46578 | − | 24.4603i | 0.357107 | − | 1.03179i | ||||
\(563\) | 1.09312 | − | 7.60280i | 0.0460694 | − | 0.320420i | −0.953735 | − | 0.300648i | \(-0.902797\pi\) |
0.999805 | − | 0.0197717i | \(-0.00629393\pi\) | |||||||
\(564\) | 5.95002 | − | 5.67333i | 0.250541 | − | 0.238890i | ||||
\(565\) | 11.8279 | + | 20.4866i | 0.497605 | + | 0.861878i | ||||
\(566\) | 16.7206 | − | 28.9609i | 0.702818 | − | 1.21732i | ||||
\(567\) | 0.266713 | + | 1.09941i | 0.0112009 | + | 0.0461707i | ||||
\(568\) | 35.7222 | + | 18.4161i | 1.49887 | + | 0.772722i | ||||
\(569\) | −39.3392 | + | 3.75644i | −1.64919 | + | 0.157478i | −0.877845 | − | 0.478945i | \(-0.841019\pi\) |
−0.771340 | + | 0.636423i | \(0.780413\pi\) | |||||||
\(570\) | −13.4500 | + | 1.28432i | −0.563357 | + | 0.0537941i | ||||
\(571\) | 21.5215 | + | 11.0951i | 0.900645 | + | 0.464315i | 0.845385 | − | 0.534157i | \(-0.179371\pi\) |
0.0552598 | + | 0.998472i | \(0.482401\pi\) | |||||||
\(572\) | 0.234123 | + | 0.965069i | 0.00978919 | + | 0.0403516i | ||||
\(573\) | −3.67956 | + | 6.37318i | −0.153716 | + | 0.266243i | ||||
\(574\) | −4.48447 | − | 7.76733i | −0.187178 | − | 0.324202i | ||||
\(575\) | −15.2428 | + | 14.5339i | −0.635667 | + | 0.606107i | ||||
\(576\) | −1.18179 | + | 8.21951i | −0.0492411 | + | 0.342480i | ||||
\(577\) | −12.2106 | + | 35.2802i | −0.508334 | + | 1.46873i | 0.340587 | + | 0.940213i | \(0.389374\pi\) |
−0.848920 | + | 0.528521i | \(0.822747\pi\) | |||||||
\(578\) | −17.7121 | + | 5.20075i | −0.736727 | + | 0.216323i | ||||
\(579\) | −6.81500 | − | 7.86493i | −0.283222 | − | 0.326856i | ||||
\(580\) | −10.4484 | + | 5.38651i | −0.433845 | + | 0.223662i | ||||
\(581\) | 6.04912 | − | 3.88753i | 0.250960 | − | 0.161282i | ||||
\(582\) | 16.3972 | − | 6.56446i | 0.679687 | − | 0.272106i | ||||
\(583\) | 0.504886 | − | 10.5989i | 0.0209102 | − | 0.438960i | ||||
\(584\) | 2.15543 | + | 3.02688i | 0.0891923 | + | 0.125253i | ||||
\(585\) | −0.509437 | − | 1.47192i | −0.0210626 | − | 0.0608564i | ||||
\(586\) | 21.1084 | − | 4.06831i | 0.871980 | − | 0.168060i | ||||
\(587\) | −29.2709 | − | 11.7183i | −1.20814 | − | 0.483666i | −0.321846 | − | 0.946792i | \(-0.604303\pi\) |
−0.886292 | + | 0.463126i | \(0.846728\pi\) | |||||||
\(588\) | −1.79754 | + | 3.93606i | −0.0741293 | + | 0.162321i | ||||
\(589\) | 4.90882 | − | 5.66508i | 0.202264 | − | 0.233425i | ||||
\(590\) | 8.39054 | − | 34.5863i | 0.345433 | − | 1.42389i | ||||
\(591\) | −9.66393 | − | 9.21453i | −0.397521 | − | 0.379035i | ||||
\(592\) | 17.9326 | − | 14.1023i | 0.737024 | − | 0.579602i | ||||
\(593\) | 0.0226919 | + | 0.476361i | 0.000931844 | + | 0.0195618i | 0.999285 | − | 0.0377987i | \(-0.0120346\pi\) |
−0.998354 | + | 0.0573605i | \(0.981732\pi\) | |||||||
\(594\) | −1.19862 | − | 2.62460i | −0.0491798 | − | 0.107689i | ||||
\(595\) | 2.22578 | + | 0.653547i | 0.0912480 | + | 0.0267928i | ||||
\(596\) | 7.59264 | − | 10.6624i | 0.311007 | − | 0.436748i | ||||
\(597\) | −21.7440 | − | 17.0996i | −0.889922 | − | 0.699842i | ||||
\(598\) | −0.383274 | − | 2.66573i | −0.0156733 | − | 0.109010i | ||||
\(599\) | 14.6874 | + | 2.83077i | 0.600112 | + | 0.115662i | 0.480255 | − | 0.877129i | \(-0.340544\pi\) |
0.119857 | + | 0.992791i | \(0.461756\pi\) | |||||||
\(600\) | −11.4415 | − | 7.35301i | −0.467098 | − | 0.300185i | ||||
\(601\) | −13.0565 | − | 1.24674i | −0.532586 | − | 0.0508558i | −0.174701 | − | 0.984622i | \(-0.555896\pi\) |
−0.357885 | + | 0.933766i | \(0.616502\pi\) | |||||||
\(602\) | −4.86631 | −0.198336 | ||||||||
\(603\) | 3.82081 | + | 7.23888i | 0.155595 | + | 0.294790i | ||||
\(604\) | 12.3510 | 0.502554 | ||||||||
\(605\) | 13.1569 | + | 1.25633i | 0.534905 | + | 0.0510773i | ||||
\(606\) | −8.47904 | − | 5.44915i | −0.344437 | − | 0.221356i | ||||
\(607\) | −38.3105 | − | 7.38375i | −1.55498 | − | 0.299697i | −0.661897 | − | 0.749595i | \(-0.730248\pi\) |
−0.893080 | + | 0.449898i | \(0.851460\pi\) | |||||||
\(608\) | 2.25363 | + | 15.6743i | 0.0913966 | + | 0.635677i | ||||
\(609\) | −4.50128 | − | 3.53984i | −0.182401 | − | 0.143442i | ||||
\(610\) | −0.0942887 | + | 0.132410i | −0.00381764 | + | 0.00536112i | ||||
\(611\) | −5.29072 | − | 1.55350i | −0.214040 | − | 0.0628477i | ||||
\(612\) | 0.209895 | + | 0.459606i | 0.00848450 | + | 0.0185785i | ||||
\(613\) | −2.02906 | − | 42.5953i | −0.0819531 | − | 1.72041i | −0.548702 | − | 0.836018i | \(-0.684878\pi\) |
0.466749 | − | 0.884390i | \(-0.345425\pi\) | |||||||
\(614\) | 2.13504 | − | 1.67901i | 0.0861630 | − | 0.0677594i | ||||
\(615\) | 15.7960 | + | 15.0614i | 0.636955 | + | 0.607335i | ||||
\(616\) | −2.12126 | + | 8.74396i | −0.0854680 | + | 0.352304i | ||||
\(617\) | 2.02225 | − | 2.33381i | 0.0814129 | − | 0.0939555i | −0.713582 | − | 0.700572i | \(-0.752928\pi\) |
0.794995 | + | 0.606617i | \(0.207474\pi\) | |||||||
\(618\) | −6.51787 | + | 14.2721i | −0.262187 | + | 0.574110i | ||||
\(619\) | −13.6460 | − | 5.46304i | −0.548480 | − | 0.219578i | 0.0808366 | − | 0.996727i | \(-0.474241\pi\) |
−0.629316 | + | 0.777149i | \(0.716665\pi\) | |||||||
\(620\) | 4.33108 | − | 0.834747i | 0.173940 | − | 0.0335242i | ||||
\(621\) | −1.55685 | − | 4.49823i | −0.0624743 | − | 0.180508i | ||||
\(622\) | −2.66125 | − | 3.73720i | −0.106706 | − | 0.149848i | ||||
\(623\) | 0.108487 | − | 2.27743i | 0.00434645 | − | 0.0912432i | ||||
\(624\) | 0.901931 | − | 0.361079i | 0.0361061 | − | 0.0144547i | ||||
\(625\) | −23.1731 | + | 14.8924i | −0.926923 | + | 0.595697i | ||||
\(626\) | −16.9901 | + | 8.75902i | −0.679062 | + | 0.350081i | ||||
\(627\) | −6.68726 | − | 7.71751i | −0.267064 | − | 0.308208i | ||||
\(628\) | −2.01828 | + | 0.592621i | −0.0805383 | + | 0.0236482i | ||||
\(629\) | 2.60273 | − | 7.52008i | 0.103777 | − | 0.299845i | ||||
\(630\) | 0.551172 | − | 3.83348i | 0.0219592 | − | 0.152730i | ||||
\(631\) | −30.8342 | + | 29.4003i | −1.22749 | + | 1.17041i | −0.248033 | + | 0.968752i | \(0.579784\pi\) |
−0.979456 | + | 0.201657i | \(0.935367\pi\) | |||||||
\(632\) | −1.47199 | − | 2.54956i | −0.0585526 | − | 0.101416i | ||||
\(633\) | 9.08571 | − | 15.7369i | 0.361124 | − | 0.625486i | ||||
\(634\) | −4.34825 | − | 17.9237i | −0.172691 | − | 0.711842i | ||||
\(635\) | −35.3292 | − | 18.2135i | −1.40200 | − | 0.722780i | ||||
\(636\) | 3.08815 | − | 0.294883i | 0.122453 | − | 0.0116929i | ||||
\(637\) | 2.88907 | − | 0.275873i | 0.114469 | − | 0.0109305i | ||||
\(638\) | 12.9816 | + | 6.69247i | 0.513946 | + | 0.264957i | ||||
\(639\) | −3.08251 | − | 12.7063i | −0.121942 | − | 0.502652i | ||||
\(640\) | 1.89635 | − | 3.28458i | 0.0749599 | − | 0.129834i | ||||
\(641\) | 16.3150 | + | 28.2584i | 0.644403 | + | 1.11614i | 0.984439 | + | 0.175727i | \(0.0562275\pi\) |
−0.340036 | + | 0.940413i | \(0.610439\pi\) | |||||||
\(642\) | 15.7271 | − | 14.9957i | 0.620698 | − | 0.591834i | ||||
\(643\) | −2.15710 | + | 15.0030i | −0.0850677 | + | 0.591659i | 0.902046 | + | 0.431639i | \(0.142065\pi\) |
−0.987114 | + | 0.160019i | \(0.948844\pi\) | |||||||
\(644\) | −1.33233 | + | 3.84950i | −0.0525010 | + | 0.151692i | ||||
\(645\) | 11.3623 | − | 3.33628i | 0.447392 | − | 0.131366i | ||||
\(646\) | −1.92505 | − | 2.22163i | −0.0757401 | − | 0.0874087i | ||||
\(647\) | 26.2107 | − | 13.5125i | 1.03045 | − | 0.531233i | 0.141834 | − | 0.989890i | \(-0.454700\pi\) |
0.888613 | + | 0.458658i | \(0.151670\pi\) | |||||||
\(648\) | 2.58588 | − | 1.66184i | 0.101583 | − | 0.0652834i | ||||
\(649\) | 24.9718 | − | 9.99718i | 0.980227 | − | 0.392424i | ||||
\(650\) | −0.119115 | + | 2.50053i | −0.00467208 | + | 0.0980790i | ||||
\(651\) | 1.24636 | + | 1.75027i | 0.0488487 | + | 0.0685984i | ||||
\(652\) | −2.27750 | − | 6.58040i | −0.0891937 | − | 0.257708i | ||||
\(653\) | −1.06462 | + | 0.205189i | −0.0416619 | + | 0.00802967i | −0.210040 | − | 0.977693i | \(-0.567359\pi\) |
0.168378 | + | 0.985723i | \(0.446147\pi\) | |||||||
\(654\) | −0.228296 | − | 0.0913958i | −0.00892707 | − | 0.00357386i | ||||
\(655\) | 0.606405 | − | 1.32784i | 0.0236942 | − | 0.0518831i | ||||
\(656\) | −8.91492 | + | 10.2884i | −0.348069 | + | 0.401693i | ||||
\(657\) | 0.285003 | − | 1.17480i | 0.0111190 | − | 0.0458333i | ||||
\(658\) | −9.92285 | − | 9.46142i | −0.386833 | − | 0.368845i | ||||
\(659\) | −15.9623 | + | 12.5529i | −0.621804 | + | 0.488992i | −0.878654 | − | 0.477459i | \(-0.841558\pi\) |
0.256850 | + | 0.966451i | \(0.417315\pi\) | |||||||
\(660\) | −0.285910 | − | 6.00199i | −0.0111290 | − | 0.233627i | ||||
\(661\) | 13.0205 | + | 28.5109i | 0.506438 | + | 1.10894i | 0.974323 | + | 0.225155i | \(0.0722890\pi\) |
−0.467885 | + | 0.883790i | \(0.654984\pi\) | |||||||
\(662\) | 18.2792 | + | 5.36727i | 0.710443 | + | 0.208605i | ||||
\(663\) | 0.196573 | − | 0.276048i | 0.00763426 | − | 0.0107208i | ||||
\(664\) | −15.3576 | − | 12.0773i | −0.595990 | − | 0.468692i | ||||
\(665\) | −1.95069 | − | 13.5673i | −0.0756445 | − | 0.526119i | ||||
\(666\) | −13.0457 | − | 2.51435i | −0.505511 | − | 0.0974292i | ||||
\(667\) | 20.2696 | + | 13.0265i | 0.784841 | + | 0.504387i | ||||
\(668\) | 5.17144 | + | 0.493813i | 0.200089 | + | 0.0191062i | ||||
\(669\) | −3.97767 | −0.153786 | ||||||||
\(670\) | −2.93284 | − | 27.8681i | −0.113306 | − | 1.07664i | ||||
\(671\) | −0.122856 | −0.00474280 | ||||||||
\(672\) | −4.51862 | − | 0.431476i | −0.174309 | − | 0.0166445i | ||||
\(673\) | 25.1164 | + | 16.1413i | 0.968165 | + | 0.622202i | 0.926246 | − | 0.376919i | \(-0.123017\pi\) |
0.0419190 | + | 0.999121i | \(0.486653\pi\) | |||||||
\(674\) | 34.3049 | + | 6.61173i | 1.32138 | + | 0.254674i | ||||
\(675\) | 0.629687 | + | 4.37957i | 0.0242367 | + | 0.168570i | ||||
\(676\) | −7.57699 | − | 5.95861i | −0.291423 | − | 0.229177i | ||||
\(677\) | −18.2403 | + | 25.6149i | −0.701032 | + | 0.984462i | 0.298516 | + | 0.954405i | \(0.403508\pi\) |
−0.999548 | + | 0.0300571i | \(0.990431\pi\) | |||||||
\(678\) | 8.24478 | + | 2.42089i | 0.316639 | + | 0.0929735i | ||||
\(679\) | 7.44352 | + | 16.2990i | 0.285656 | + | 0.625500i | ||||
\(680\) | −0.299908 | − | 6.29584i | −0.0115009 | − | 0.241434i | ||||
\(681\) | −7.19904 | + | 5.66139i | −0.275868 | + | 0.216945i | ||||
\(682\) | −3.96620 | − | 3.78176i | −0.151874 | − | 0.144811i | ||||
\(683\) | −7.67944 | + | 31.6551i | −0.293845 | + | 1.21125i | 0.613102 | + | 0.790004i | \(0.289921\pi\) |
−0.906948 | + | 0.421244i | \(0.861594\pi\) | |||||||
\(684\) | 1.95509 | − | 2.25630i | 0.0747548 | − | 0.0862716i | ||||
\(685\) | −11.4302 | + | 25.0286i | −0.436724 | + | 0.956293i | ||||
\(686\) | 14.8977 | + | 5.96413i | 0.568796 | + | 0.227711i | ||||
\(687\) | 12.8422 | − | 2.47513i | 0.489961 | − | 0.0944322i | ||||
\(688\) | 2.41582 | + | 6.98006i | 0.0921024 | + | 0.266112i | ||||
\(689\) | −1.20691 | − | 1.69486i | −0.0459795 | − | 0.0645691i | ||||
\(690\) | −0.775376 | + | 16.2772i | −0.0295181 | + | 0.619661i | ||||
\(691\) | 4.19151 | − | 1.67803i | 0.159453 | − | 0.0638352i | −0.290563 | − | 0.956856i | \(-0.593843\pi\) |
0.450016 | + | 0.893021i | \(0.351418\pi\) | |||||||
\(692\) | 14.9669 | − | 9.61866i | 0.568957 | − | 0.365646i | ||||
\(693\) | 2.60175 | − | 1.34130i | 0.0988323 | − | 0.0509516i | ||||
\(694\) | −7.01030 | − | 8.09032i | −0.266107 | − | 0.307104i | ||||
\(695\) | −27.9237 | + | 8.19913i | −1.05920 | + | 0.311011i | ||||
\(696\) | −5.08894 | + | 14.7035i | −0.192896 | + | 0.557336i | ||||
\(697\) | −0.675800 | + | 4.70030i | −0.0255978 | + | 0.178036i | ||||
\(698\) | 1.34756 | − | 1.28489i | 0.0510058 | − | 0.0486339i | ||||
\(699\) | 12.7393 | + | 22.0651i | 0.481843 | + | 0.834577i | ||||
\(700\) | 1.89325 | − | 3.27920i | 0.0715581 | − | 0.123942i | ||||
\(701\) | −7.63866 | − | 31.4870i | −0.288508 | − | 1.18925i | −0.912916 | − | 0.408148i | \(-0.866175\pi\) |
0.624408 | − | 0.781099i | \(-0.285340\pi\) | |||||||
\(702\) | −0.502888 | − | 0.259257i | −0.0189803 | − | 0.00978502i | ||||
\(703\) | −46.8077 | + | 4.46960i | −1.76539 | + | 0.168574i | ||||
\(704\) | 21.3888 | − | 2.04238i | 0.806121 | − | 0.0769753i | ||||
\(705\) | 29.6555 | + | 15.2885i | 1.11689 | + | 0.575797i | ||||
\(706\) | −0.661087 | − | 2.72504i | −0.0248803 | − | 0.102558i | ||||
\(707\) | 5.11253 | − | 8.85516i | 0.192276 | − | 0.333033i | ||||
\(708\) | 3.93204 | + | 6.81049i | 0.147775 | + | 0.255954i | ||||
\(709\) | 25.8638 | − | 24.6611i | 0.971335 | − | 0.926166i | −0.0259605 | − | 0.999663i | \(-0.508264\pi\) |
0.997295 | + | 0.0734970i | \(0.0234159\pi\) | |||||||
\(710\) | −6.37011 | + | 44.3051i | −0.239066 | + | 1.66274i | ||||
\(711\) | −0.313250 | + | 0.905076i | −0.0117478 | + | 0.0339430i | ||||
\(712\) | −5.94408 | + | 1.74534i | −0.222764 | + | 0.0654093i | ||||
\(713\) | −5.92046 | − | 6.83258i | −0.221723 | − | 0.255882i | ||||
\(714\) | 0.748961 | − | 0.386116i | 0.0280292 | − | 0.0144500i | ||||
\(715\) | −3.39038 | + | 2.17886i | −0.126793 | + | 0.0814848i | ||||
\(716\) | 11.4427 | − | 4.58098i | 0.427635 | − | 0.171199i | ||||
\(717\) | 0.384097 | − | 8.06319i | 0.0143444 | − | 0.301125i | ||||
\(718\) | −4.67807 | − | 6.56943i | −0.174584 | − | 0.245169i | ||||
\(719\) | −0.724665 | − | 2.09378i | −0.0270254 | − | 0.0780849i | 0.930681 | − | 0.365831i | \(-0.119215\pi\) |
−0.957707 | + | 0.287746i | \(0.907094\pi\) | |||||||
\(720\) | −5.77224 | + | 1.11251i | −0.215119 | + | 0.0414607i | ||||
\(721\) | −14.7771 | − | 5.91587i | −0.550329 | − | 0.220318i | ||||
\(722\) | 1.58606 | − | 3.47299i | 0.0590271 | − | 0.129251i | ||||
\(723\) | 10.7252 | − | 12.3776i | 0.398876 | − | 0.460327i | ||||
\(724\) | 3.39719 | − | 14.0034i | 0.126256 | − | 0.520433i | ||||
\(725\) | −16.2092 | − | 15.4555i | −0.601995 | − | 0.574001i | ||||
\(726\) | 3.77377 | − | 2.96772i | 0.140058 | − | 0.110143i | ||||
\(727\) | 1.66140 | + | 34.8771i | 0.0616180 | + | 1.29352i | 0.792016 | + | 0.610500i | \(0.209031\pi\) |
−0.730398 | + | 0.683021i | \(0.760666\pi\) | |||||||
\(728\) | 0.732926 | + | 1.60488i | 0.0271640 | + | 0.0594810i | ||||
\(729\) | −0.959493 | − | 0.281733i | −0.0355368 | − | 0.0104345i | ||||
\(730\) | −2.40056 | + | 3.37112i | −0.0888489 | + | 0.124771i | ||||
\(731\) | 2.02525 | + | 1.59267i | 0.0749066 | + | 0.0589072i | ||||
\(732\) | −0.00511170 | − | 0.0355526i | −0.000188934 | − | 0.00131406i | ||||
\(733\) | 20.1831 | + | 3.88997i | 0.745480 | + | 0.143679i | 0.547826 | − | 0.836592i | \(-0.315456\pi\) |
0.197654 | + | 0.980272i | \(0.436668\pi\) | |||||||
\(734\) | −9.37733 | − | 6.02644i | −0.346124 | − | 0.222440i | ||||
\(735\) | −17.4811 | − | 1.66925i | −0.644802 | − | 0.0615711i | ||||
\(736\) | 19.0990 | 0.703998 | ||||||||
\(737\) | 15.8714 | − | 14.0232i | 0.584630 | − | 0.516551i | ||||
\(738\) | 7.92803 | 0.291835 | ||||||||
\(739\) | −31.8589 | − | 3.04216i | −1.17195 | − | 0.111908i | −0.509132 | − | 0.860689i | \(-0.670033\pi\) |
−0.662817 | + | 0.748781i | \(0.730639\pi\) | |||||||
\(740\) | −23.2757 | − | 14.9584i | −0.855633 | − | 0.549882i | ||||
\(741\) | −1.96622 | − | 0.378957i | −0.0722308 | − | 0.0139213i | ||||
\(742\) | −0.736271 | − | 5.12088i | −0.0270294 | − | 0.187993i | ||||
\(743\) | 15.7939 | + | 12.4205i | 0.579422 | + | 0.455662i | 0.864353 | − | 0.502886i | \(-0.167728\pi\) |
−0.284931 | + | 0.958548i | \(0.591971\pi\) | |||||||
\(744\) | 3.38649 | − | 4.75566i | 0.124155 | − | 0.174351i | ||||
\(745\) | 50.9693 | + | 14.9659i | 1.86737 | + | 0.548309i | ||||
\(746\) | −10.6884 | − | 23.4044i | −0.391331 | − | 0.856896i | ||||
\(747\) | 0.302435 | + | 6.34888i | 0.0110655 | + | 0.232293i | ||||
\(748\) | 1.02764 | − | 0.808144i | 0.0375742 | − | 0.0295487i | ||||
\(749\) | 15.9549 | + | 15.2130i | 0.582979 | + | 0.555869i | ||||
\(750\) | −0.464401 | + | 1.91429i | −0.0169575 | + | 0.0698998i | ||||
\(751\) | 26.2396 | − | 30.2821i | 0.957495 | − | 1.10501i | −0.0369037 | − | 0.999319i | \(-0.511749\pi\) |
0.994399 | − | 0.105690i | \(-0.0337051\pi\) | |||||||
\(752\) | −8.64504 | + | 18.9300i | −0.315252 | + | 0.690306i | ||||
\(753\) | −7.43094 | − | 2.97490i | −0.270798 | − | 0.108411i | ||||
\(754\) | 2.81215 | − | 0.541997i | 0.102412 | − | 0.0197384i | ||||
\(755\) | 16.3940 | + | 47.3672i | 0.596637 | + | 1.72387i | ||||
\(756\) | 0.496402 | + | 0.697099i | 0.0180540 | + | 0.0253532i | ||||
\(757\) | −1.24380 | + | 26.1106i | −0.0452066 | + | 0.949004i | 0.856364 | + | 0.516372i | \(0.172718\pi\) |
−0.901571 | + | 0.432632i | \(0.857585\pi\) | |||||||
\(758\) | −13.7948 | + | 5.52260i | −0.501049 | + | 0.200590i | ||||
\(759\) | −10.3611 | + | 6.65866i | −0.376083 | + | 0.241694i | ||||
\(760\) | −33.1028 | + | 17.0657i | −1.20077 | + | 0.619038i | ||||
\(761\) | −5.24136 | − | 6.04886i | −0.189999 | − | 0.219271i | 0.652755 | − | 0.757569i | \(-0.273613\pi\) |
−0.842755 | + | 0.538298i | \(0.819068\pi\) | |||||||
\(762\) | −13.8533 | + | 4.06769i | −0.501851 | + | 0.147357i | ||||
\(763\) | 0.0815947 | − | 0.235752i | 0.00295393 | − | 0.00853481i | ||||
\(764\) | −0.792251 | + | 5.51023i | −0.0286626 | + | 0.199353i | ||||
\(765\) | −1.48403 | + | 1.41502i | −0.0536553 | + | 0.0511602i | ||||
\(766\) | 5.63003 | + | 9.75150i | 0.203421 | + | 0.352336i | ||||
\(767\) | 2.63725 | − | 4.56785i | 0.0952255 | − | 0.164935i | ||||
\(768\) | 3.59070 | + | 14.8011i | 0.129568 | + | 0.534088i | ||||
\(769\) | −11.2941 | − | 5.82250i | −0.407275 | − | 0.209965i | 0.242401 | − | 0.970176i | \(-0.422065\pi\) |
−0.649676 | + | 0.760211i | \(0.725095\pi\) | |||||||
\(770\) | −9.97550 | + | 0.952544i | −0.359492 | + | 0.0343273i | ||||
\(771\) | 3.34146 | − | 0.319070i | 0.120340 | − | 0.0114910i | ||||
\(772\) | −6.99722 | − | 3.60732i | −0.251836 | − | 0.129830i | ||||
\(773\) | −10.7623 | − | 44.3628i | −0.387093 | − | 1.59562i | −0.748449 | − | 0.663193i | \(-0.769201\pi\) |
0.361355 | − | 0.932428i | \(-0.382314\pi\) | |||||||
\(774\) | 2.15077 | − | 3.72524i | 0.0773078 | − | 0.133901i | ||||
\(775\) | 4.20187 | + | 7.27784i | 0.150935 | + | 0.261428i | ||||
\(776\) | 35.2356 | − | 33.5970i | 1.26488 | − | 1.20606i | ||||
\(777\) | 1.91816 | − | 13.3411i | 0.0688134 | − | 0.478608i | ||||
\(778\) | 2.41955 | − | 6.99084i | 0.0867452 | − | 0.250634i | ||||
\(779\) | 26.9221 | − | 7.90503i | 0.964583 | − | 0.283227i | ||||
\(780\) | −0.771593 | − | 0.890466i | −0.0276275 | − | 0.0318838i | ||||
\(781\) | −30.0695 | + | 15.5019i | −1.07597 | + | 0.554701i | ||||
\(782\) | −2.98262 | + | 1.91682i | −0.106658 | + | 0.0685452i | ||||
\(783\) | 4.69925 | − | 1.88129i | 0.167937 | − | 0.0672320i | ||||
\(784\) | 0.521175 | − | 10.9408i | 0.0186134 | − | 0.390743i | ||||
\(785\) | −4.95171 | − | 6.95370i | −0.176734 | − | 0.248188i | ||||
\(786\) | −0.173427 | − | 0.501084i | −0.00618594 | − | 0.0178731i | ||||
\(787\) | 27.2061 | − | 5.24354i | 0.969792 | − | 0.186912i | 0.320330 | − | 0.947306i | \(-0.396206\pi\) |
0.649462 | + | 0.760394i | \(0.274994\pi\) | |||||||
\(788\) | −9.37739 | − | 3.75414i | −0.334056 | − | 0.133736i | ||||
\(789\) | −2.82577 | + | 6.18757i | −0.100600 | + | 0.220283i | ||||
\(790\) | 2.14715 | − | 2.47795i | 0.0763923 | − | 0.0881614i | ||||
\(791\) | −2.05519 | + | 8.47160i | −0.0730741 | + | 0.301215i | ||||
\(792\) | −5.75611 | − | 5.48844i | −0.204534 | − | 0.195023i | ||||
\(793\) | −0.0189365 | + | 0.0148918i | −0.000672456 | + | 0.000528825i | ||||
\(794\) | −0.820384 | − | 17.2220i | −0.0291143 | − | 0.611185i | ||||
\(795\) | 5.22993 | + | 11.4520i | 0.185487 | + | 0.406159i | ||||
\(796\) | −20.0778 | − | 5.89537i | −0.711639 | − | 0.208956i | ||||
\(797\) | −26.2741 | + | 36.8968i | −0.930677 | + | 1.30695i | 0.0209764 | + | 0.999780i | \(0.493323\pi\) |
−0.951654 | + | 0.307173i | \(0.900617\pi\) | |||||||
\(798\) | −3.91370 | − | 3.07777i | −0.138544 | − | 0.108952i | ||||
\(799\) | 1.03308 | + | 7.18525i | 0.0365478 | + | 0.254196i | ||||
\(800\) | −17.4323 | − | 3.35981i | −0.616326 | − | 0.118787i | ||||
\(801\) | 1.69546 | + | 1.08961i | 0.0599062 | + | 0.0384994i | ||||
\(802\) | −15.4575 | − | 1.47601i | −0.545824 | − | 0.0521199i | ||||
\(803\) | −3.12788 | −0.110381 | ||||||||
\(804\) | 4.71846 | + | 4.00947i | 0.166407 | + | 0.141403i | ||||
\(805\) | −16.5317 | −0.582665 | ||||||||
\(806\) | −1.06974 | − | 0.102147i | −0.0376798 | − | 0.00359799i | ||||
\(807\) | −1.57135 | − | 1.00985i | −0.0553142 | − | 0.0355483i | ||||
\(808\) | −27.2805 | − | 5.25788i | −0.959723 | − | 0.184971i | ||||
\(809\) | 5.32448 | + | 37.0326i | 0.187199 | + | 1.30200i | 0.839219 | + | 0.543794i | \(0.183013\pi\) |
−0.652020 | + | 0.758202i | \(0.726078\pi\) | |||||||
\(810\) | 2.69100 | + | 2.11622i | 0.0945520 | + | 0.0743565i | ||||
\(811\) | −12.1483 | + | 17.0599i | −0.426583 | + | 0.599053i | −0.970799 | − | 0.239892i | \(-0.922888\pi\) |
0.544216 | + | 0.838945i | \(0.316827\pi\) | |||||||
\(812\) | −4.15636 | − | 1.22042i | −0.145860 | − | 0.0428282i | ||||
\(813\) | −12.8821 | − | 28.2079i | −0.451795 | − | 0.989293i | ||||
\(814\) | 1.63568 | + | 34.3371i | 0.0573305 | + | 1.20352i | ||||
\(815\) | 22.2135 | − | 17.4689i | 0.778104 | − | 0.611907i | ||||
\(816\) | −0.925645 | − | 0.882600i | −0.0324040 | − | 0.0308972i | ||||
\(817\) | 3.58916 | − | 14.7947i | 0.125569 | − | 0.517602i | ||||
\(818\) | 9.05348 | − | 10.4483i | 0.316548 | − | 0.365315i | ||||
\(819\) | 0.238440 | − | 0.522110i | 0.00833176 | − | 0.0182440i | ||||
\(820\) | 15.3276 | + | 6.13625i | 0.535264 | + | 0.214287i | ||||
\(821\) | 24.1450 | − | 4.65357i | 0.842668 | − | 0.162411i | 0.250390 | − | 0.968145i | \(-0.419441\pi\) |
0.592277 | + | 0.805734i | \(0.298229\pi\) | |||||||
\(822\) | 3.26894 | + | 9.44497i | 0.114017 | + | 0.329431i | ||||
\(823\) | −16.2400 | − | 22.8060i | −0.566092 | − | 0.794966i | 0.427968 | − | 0.903794i | \(-0.359230\pi\) |
−0.994061 | + | 0.108828i | \(0.965290\pi\) | |||||||
\(824\) | −2.05787 | + | 43.2000i | −0.0716892 | + | 1.50494i | ||||
\(825\) | 10.6283 | − | 4.25493i | 0.370030 | − | 0.148138i | ||||
\(826\) | 11.0330 | − | 7.09046i | 0.383886 | − | 0.246709i | ||||
\(827\) | −4.84540 | + | 2.49798i | −0.168491 | + | 0.0868632i | −0.540409 | − | 0.841402i | \(-0.681731\pi\) |
0.371918 | + | 0.928266i | \(0.378700\pi\) | |||||||
\(828\) | −2.35801 | − | 2.72129i | −0.0819465 | − | 0.0945713i | ||||
\(829\) | −29.0157 | + | 8.51978i | −1.00776 | + | 0.295904i | −0.743635 | − | 0.668585i | \(-0.766900\pi\) |
−0.264121 | + | 0.964489i | \(0.585082\pi\) | |||||||
\(830\) | 7.11686 | − | 20.5628i | 0.247030 | − | 0.713746i | ||||
\(831\) | −4.71479 | + | 32.7921i | −0.163554 | + | 1.13754i | ||||
\(832\) | 3.04922 | − | 2.90743i | 0.105713 | − | 0.100797i | ||||
\(833\) | −1.91034 | − | 3.30881i | −0.0661895 | − | 0.114644i | ||||
\(834\) | −5.28565 | + | 9.15501i | −0.183027 | + | 0.317012i | ||||
\(835\) | 4.97045 | + | 20.4885i | 0.172009 | + | 0.709032i | ||||
\(836\) | −6.86607 | − | 3.53970i | −0.237468 | − | 0.122423i | ||||
\(837\) | −1.89072 | + | 0.180541i | −0.0653527 | + | 0.00624043i | ||||
\(838\) | −27.9896 | + | 2.67269i | −0.966886 | + | 0.0923264i | ||||
\(839\) | 13.4106 | + | 6.91366i | 0.462986 | + | 0.238686i | 0.673906 | − | 0.738818i | \(-0.264615\pi\) |
−0.210919 | + | 0.977503i | \(0.567646\pi\) | |||||||
\(840\) | −2.51685 | − | 10.3746i | −0.0868395 | − | 0.357957i | ||||
\(841\) | 1.68891 | − | 2.92527i | 0.0582382 | − | 0.100871i | ||||
\(842\) | 7.00232 | + | 12.1284i | 0.241316 | + | 0.417971i | ||||
\(843\) | −16.7988 | + | 16.0176i | −0.578581 | + | 0.551676i | ||||
\(844\) | 1.95626 | − | 13.6061i | 0.0673372 | − | 0.468340i | ||||
\(845\) | 12.7946 | − | 36.9676i | 0.440148 | − | 1.27172i | ||||
\(846\) | 11.6285 | − | 3.41443i | 0.399796 | − | 0.117391i | ||||
\(847\) | 3.18947 | + | 3.68084i | 0.109591 | + | 0.126475i | ||||
\(848\) | −6.97969 | + | 3.59828i | −0.239684 | + | 0.123566i | ||||
\(849\) | −25.2278 | + | 16.2129i | −0.865814 | + | 0.556425i | ||||
\(850\) | 3.05955 | − | 1.22486i | 0.104942 | − | 0.0420123i | ||||
\(851\) | −2.69842 | + | 56.6468i | −0.0925006 | + | 1.94183i | ||||
\(852\) | −5.73711 | − | 8.05665i | −0.196550 | − | 0.276016i | ||||
\(853\) | −1.95385 | − | 5.64529i | −0.0668987 | − | 0.193291i | 0.906596 | − | 0.421999i | \(-0.138671\pi\) |
−0.973495 | + | 0.228707i | \(0.926550\pi\) | |||||||
\(854\) | −0.0588184 | + | 0.0113363i | −0.00201272 | + | 0.000387921i | ||||
\(855\) | 11.2482 | + | 4.50310i | 0.384680 | + | 0.154003i | ||||
\(856\) | 24.8830 | − | 54.4862i | 0.850483 | − | 1.86230i | ||||
\(857\) | −19.5611 | + | 22.5748i | −0.668196 | + | 0.771139i | −0.984093 | − | 0.177654i | \(-0.943149\pi\) |
0.315897 | + | 0.948794i | \(0.397695\pi\) | |||||||
\(858\) | −0.345133 | + | 1.42266i | −0.0117827 | + | 0.0485688i | ||||
\(859\) | −7.26638 | − | 6.92848i | −0.247926 | − | 0.236397i | 0.555918 | − | 0.831237i | \(-0.312367\pi\) |
−0.803844 | + | 0.594840i | \(0.797215\pi\) | |||||||
\(860\) | 7.04150 | − | 5.53750i | 0.240113 | − | 0.188827i | ||||
\(861\) | 0.382696 | + | 8.03377i | 0.0130422 | + | 0.273790i | ||||
\(862\) | 15.2658 | + | 33.4275i | 0.519955 | + | 1.13854i | ||||
\(863\) | −2.18401 | − | 0.641284i | −0.0743447 | − | 0.0218296i | 0.244349 | − | 0.969687i | \(-0.421426\pi\) |
−0.318693 | + | 0.947858i | \(0.603244\pi\) | |||||||
\(864\) | 2.32740 | − | 3.26838i | 0.0791798 | − | 0.111192i | ||||
\(865\) | 56.7547 | + | 44.6324i | 1.92972 | + | 1.51755i | ||||
\(866\) | −5.55616 | − | 38.6440i | −0.188806 | − | 1.31318i | ||||
\(867\) | 16.2547 | + | 3.13284i | 0.552039 | + | 0.106397i | ||||
\(868\) | 1.36737 | + | 0.878757i | 0.0464117 | + | 0.0298270i | ||||
\(869\) | 2.46690 | + | 0.235560i | 0.0836837 | + | 0.00799082i | ||||
\(870\) | −17.3288 | −0.587502 | ||||||||
\(871\) | 0.746547 | − | 4.08531i | 0.0252958 | − | 0.138426i | ||||
\(872\) | −0.677844 | −0.0229547 | ||||||||
\(873\) | −15.7670 | − | 1.50557i | −0.533633 | − | 0.0509558i | ||||
\(874\) | 17.6237 | + | 11.3261i | 0.596130 | + | 0.383110i | ||||
\(875\) | −1.96223 | − | 0.378190i | −0.0663356 | − | 0.0127851i | ||||
\(876\) | −0.130142 | − | 0.905160i | −0.00439711 | − | 0.0305825i | ||||
\(877\) | −3.44934 | − | 2.71259i | −0.116476 | − | 0.0915976i | 0.558222 | − | 0.829692i | \(-0.311484\pi\) |
−0.674698 | + | 0.738094i | \(0.735726\pi\) | |||||||
\(878\) | 4.21267 | − | 5.91587i | 0.142171 | − | 0.199651i | ||||
\(879\) | −18.4964 | − | 5.43104i | −0.623869 | − | 0.183184i | ||||
\(880\) | 6.31852 | + | 13.8356i | 0.212997 | + | 0.466399i | ||||
\(881\) | −1.94706 | − | 40.8739i | −0.0655982 | − | 1.37708i | −0.756437 | − | 0.654067i | \(-0.773062\pi\) |
0.690839 | − | 0.723009i | \(-0.257241\pi\) | |||||||
\(882\) | −5.01407 | + | 3.94311i | −0.168833 | + | 0.132771i | ||||
\(883\) | −14.6354 | − | 13.9548i | −0.492521 | − | 0.469618i | 0.402642 | − | 0.915358i | \(-0.368092\pi\) |
−0.895162 | + | 0.445740i | \(0.852941\pi\) | |||||||
\(884\) | 0.0604378 | − | 0.249128i | 0.00203274 | − | 0.00837908i | ||||
\(885\) | −20.8997 | + | 24.1196i | −0.702537 | + | 0.810771i | ||||
\(886\) | −18.2812 | + | 40.0302i | −0.614168 | + | 1.34484i | ||||
\(887\) | −13.0690 | − | 5.23202i | −0.438813 | − | 0.175674i | 0.141728 | − | 0.989906i | \(-0.454734\pi\) |
−0.580540 | + | 0.814232i | \(0.697159\pi\) | |||||||
\(888\) | −35.9600 | + | 6.93072i | −1.20674 | + | 0.232580i | ||||
\(889\) | −4.79065 | − | 13.8417i | −0.160673 | − | 0.464235i | ||||
\(890\) | −4.00214 | − | 5.62022i | −0.134152 | − | 0.188390i | ||||
\(891\) | −0.123115 | + | 2.58450i | −0.00412450 | + | 0.0865840i | ||||
\(892\) | −2.79342 | + | 1.11832i | −0.0935306 | + | 0.0374440i | ||||
\(893\) | 36.0836 | − | 23.1895i | 1.20749 | − | 0.776008i | ||||
\(894\) | 17.1509 | − | 8.84188i | 0.573610 | − | 0.295717i | ||||
\(895\) | 32.7569 | + | 37.8035i | 1.09494 | + | 1.26363i | ||||
\(896\) | 1.34102 | − | 0.393759i | 0.0448003 | − | 0.0131546i | ||||
\(897\) | −0.789893 | + | 2.28225i | −0.0263738 | + | 0.0762020i | ||||
\(898\) | −3.39717 | + | 23.6279i | −0.113365 | + | 0.788472i | ||||
\(899\) | 6.95800 | − | 6.63444i | 0.232062 | − | 0.221271i | ||||
\(900\) | 1.67352 | + | 2.89863i | 0.0557841 | + | 0.0966210i | ||||
\(901\) | −1.36957 | + | 2.37217i | −0.0456271 | + | 0.0790284i | ||||
\(902\) | −4.83617 | − | 19.9350i | −0.161027 | − | 0.663762i | ||||
\(903\) | 3.87875 | + | 1.99963i | 0.129077 | + | 0.0665436i | ||||
\(904\) | 23.5786 | − | 2.25148i | 0.784213 | − | 0.0748832i | ||||
\(905\) | 58.2137 | − | 5.55874i | 1.93509 | − | 0.184779i | ||||
\(906\) | 16.1832 | + | 8.34303i | 0.537652 | + | 0.277179i | ||||
\(907\) | 2.40025 | + | 9.89397i | 0.0796991 | + | 0.328524i | 0.997678 | − | 0.0681047i | \(-0.0216952\pi\) |
−0.917979 | + | 0.396629i | \(0.870180\pi\) | |||||||
\(908\) | −3.46402 | + | 5.99985i | −0.114957 | + | 0.199112i | ||||
\(909\) | 4.51919 | + | 7.82746i | 0.149892 | + | 0.259620i | ||||
\(910\) | −1.42212 | + | 1.35599i | −0.0471429 | + | 0.0449506i | ||||
\(911\) | −0.107644 | + | 0.748682i | −0.00356641 | + | 0.0248049i | −0.991527 | − | 0.129901i | \(-0.958534\pi\) |
0.987961 | + | 0.154706i | \(0.0494431\pi\) | |||||||
\(912\) | −2.47173 | + | 7.14160i | −0.0818472 | + | 0.236482i | ||||
\(913\) | 15.7797 | − | 4.63335i | 0.522233 | − | 0.153342i | ||||
\(914\) | 8.97116 | + | 10.3533i | 0.296740 | + | 0.342456i | ||||
\(915\) | 0.129563 | − | 0.0667943i | 0.00428322 | − | 0.00220815i | ||||
\(916\) | 8.32289 | − | 5.34879i | 0.274996 | − | 0.176729i | ||||
\(917\) | 0.499396 | − | 0.199928i | 0.0164915 | − | 0.00660221i | ||||
\(918\) | −0.0354408 | + | 0.743995i | −0.00116972 | + | 0.0245555i | ||||
\(919\) | −16.3175 | − | 22.9147i | −0.538265 | − | 0.755887i | 0.452458 | − | 0.891786i | \(-0.350547\pi\) |
−0.990723 | + | 0.135898i | \(0.956608\pi\) | |||||||
\(920\) | 14.6913 | + | 42.4478i | 0.484358 | + | 1.39946i | ||||
\(921\) | −2.39168 | + | 0.460959i | −0.0788087 | + | 0.0151891i | ||||
\(922\) | 16.9706 | + | 6.79400i | 0.558897 | + | 0.223749i | ||||
\(923\) | −2.75574 | + | 6.03423i | −0.0907063 | + | 0.198619i | ||||
\(924\) | 1.45004 | − | 1.67344i | 0.0477029 | − | 0.0550520i | ||||
\(925\) | 12.4280 | − | 51.2289i | 0.408630 | − | 1.68439i | ||||
\(926\) | 14.9079 | + | 14.2147i | 0.489906 | + | 0.467124i | ||||
\(927\) | 11.0598 | − | 8.69750i | 0.363250 | − | 0.285663i | ||||
\(928\) | 0.966386 | + | 20.2869i | 0.0317232 | + | 0.665952i | ||||
\(929\) | −10.8128 | − | 23.6767i | −0.354756 | − | 0.776807i | −0.999919 | − | 0.0127616i | \(-0.995938\pi\) |
0.645163 | − | 0.764045i | \(-0.276790\pi\) | |||||||
\(930\) | 6.23879 | + | 1.83187i | 0.204578 | + | 0.0600695i | ||||
\(931\) | −13.0952 | + | 18.3896i | −0.429176 | + | 0.602694i | ||||
\(932\) | 15.1500 | + | 11.9141i | 0.496256 | + | 0.390260i | ||||
\(933\) | 0.585511 | + | 4.07232i | 0.0191688 | + | 0.133322i | ||||
\(934\) | −10.0326 | − | 1.93362i | −0.328276 | − | 0.0632700i | ||||
\(935\) | 4.46334 | + | 2.86841i | 0.145967 | + | 0.0938071i | ||||
\(936\) | −1.55250 | − | 0.148246i | −0.0507450 | − | 0.00484556i | ||||
\(937\) | −12.4732 | −0.407483 | −0.203742 | − | 0.979025i | \(-0.565310\pi\) | ||||
−0.203742 | + | 0.979025i | \(0.565310\pi\) | |||||||
\(938\) | 6.30460 | − | 8.17823i | 0.205853 | − | 0.267029i | ||||
\(939\) | 17.1414 | 0.559388 | ||||||||
\(940\) | 25.1247 | + | 2.39911i | 0.819476 | + | 0.0782505i | ||||
\(941\) | −30.6887 | − | 19.7225i | −1.00042 | − | 0.642934i | −0.0655265 | − | 0.997851i | \(-0.520873\pi\) |
−0.934898 | + | 0.354917i | \(0.884509\pi\) | |||||||
\(942\) | −3.04483 | − | 0.586842i | −0.0992058 | − | 0.0191203i | ||||
\(943\) | −4.81610 | − | 33.4967i | −0.156834 | − | 1.09080i | ||||
\(944\) | −15.6475 | − | 12.3053i | −0.509283 | − | 0.400504i | ||||
\(945\) | −2.01455 | + | 2.82904i | −0.0655333 | + | 0.0920287i | ||||
\(946\) | −10.6791 | − | 3.13566i | −0.347207 | − | 0.101949i | ||||
\(947\) | 18.1956 | + | 39.8429i | 0.591278 | + | 1.29472i | 0.934667 | + | 0.355525i | \(0.115698\pi\) |
−0.343388 | + | 0.939194i | \(0.611575\pi\) | |||||||
\(948\) | 0.0344732 | + | 0.723683i | 0.00111964 | + | 0.0235041i | ||||
\(949\) | −0.482119 | + | 0.379142i | −0.0156502 | + | 0.0123075i | ||||
\(950\) | −14.0933 | − | 13.4380i | −0.457249 | − | 0.435986i | ||||
\(951\) | −3.89929 | + | 16.0731i | −0.126443 | + | 0.521205i | ||||
\(952\) | 1.52103 | − | 1.75537i | 0.0492970 | − | 0.0568918i | ||||
\(953\) | 17.4804 | − | 38.2768i | 0.566247 | − | 1.23991i | −0.382525 | − | 0.923945i | \(-0.624945\pi\) |
0.948772 | − | 0.315962i | \(-0.102327\pi\) | |||||||
\(954\) | 4.24553 | + | 1.69965i | 0.137454 | + | 0.0550283i | ||||
\(955\) | −22.1839 | + | 4.27559i | −0.717853 | + | 0.138355i | ||||
\(956\) | −1.99721 | − | 5.77057i | −0.0645945 | − | 0.186634i | ||||
\(957\) | −7.59709 | − | 10.6686i | −0.245579 | − | 0.344868i | ||||
\(958\) | 1.45833 | − | 30.6141i | 0.0471165 | − | 0.989098i | ||||
\(959\) | −9.41314 | + | 3.76845i | −0.303966 | + | 0.121690i | ||||
\(960\) | −21.4461 | + | 13.7826i | −0.692169 | + | 0.444830i | ||||
\(961\) | 24.3475 | − | 12.5520i | 0.785404 | − | 0.404904i | ||||
\(962\) | 4.41425 | + | 5.09432i | 0.142321 | + | 0.164247i | ||||
\(963\) | −18.6974 | + | 5.49005i | −0.602515 | + | 0.176914i | ||||
\(964\) | 4.05213 | − | 11.7079i | 0.130510 | − | 0.377085i | ||||
\(965\) | 4.54673 | − | 31.6232i | 0.146364 | − | 1.01799i | ||||
\(966\) | −4.34604 | + | 4.14394i | −0.139832 | + | 0.133329i | ||||
\(967\) | −0.467916 | − | 0.810455i | −0.0150472 | − | 0.0260625i | 0.858404 | − | 0.512975i | \(-0.171457\pi\) |
−0.873451 | + | 0.486912i | \(0.838123\pi\) | |||||||
\(968\) | 6.61676 | − | 11.4606i | 0.212671 | − | 0.368357i | ||||
\(969\) | 0.621486 | + | 2.56180i | 0.0199650 | + | 0.0822969i | ||||
\(970\) | 48.1951 | + | 24.8463i | 1.54745 | + | 0.797767i | ||||
\(971\) | −42.8521 | + | 4.09187i | −1.37519 | + | 0.131315i | −0.756331 | − | 0.654189i | \(-0.773010\pi\) |
−0.618857 | + | 0.785504i | \(0.712404\pi\) | |||||||
\(972\) | −0.753037 | + | 0.0719063i | −0.0241537 | + | 0.00230640i | ||||
\(973\) | −9.53226 | − | 4.91422i | −0.305590 | − | 0.157543i | ||||
\(974\) | −4.85072 | − | 19.9949i | −0.155427 | − | 0.640679i | ||||
\(975\) | 1.12245 | − | 1.94413i | 0.0359470 | − | 0.0622621i | ||||
\(976\) | 0.0454601 | + | 0.0787392i | 0.00145514 | + | 0.00252038i | ||||
\(977\) | −44.4379 | + | 42.3715i | −1.42170 | + | 1.35558i | −0.581207 | + | 0.813756i | \(0.697419\pi\) |
−0.840489 | + | 0.541828i | \(0.817732\pi\) | |||||||
\(978\) | 1.46087 | − | 10.1606i | 0.0467136 | − | 0.324900i | ||||
\(979\) | 1.70556 | − | 4.92790i | 0.0545100 | − | 0.157496i | ||||
\(980\) | −12.7459 | + | 3.74253i | −0.407152 | + | 0.119551i | ||||
\(981\) | 0.144410 | + | 0.166658i | 0.00461065 | + | 0.00532098i | ||||
\(982\) | 7.95125 | − | 4.09915i | 0.253734 | − | 0.130809i | ||||
\(983\) | 32.0229 | − | 20.5799i | 1.02137 | − | 0.656396i | 0.0810605 | − | 0.996709i | \(-0.474169\pi\) |
0.940312 | + | 0.340313i | \(0.110533\pi\) | |||||||
\(984\) | 20.2879 | − | 8.12206i | 0.646755 | − | 0.258922i | ||||
\(985\) | 1.95051 | − | 40.9462i | 0.0621484 | − | 1.30466i | ||||
\(986\) | −2.18696 | − | 3.07116i | −0.0696470 | − | 0.0978055i | ||||
\(987\) | 4.02130 | + | 11.6188i | 0.127999 | + | 0.369830i | ||||
\(988\) | −1.48737 | + | 0.286667i | −0.0473195 | + | 0.00912009i | ||||
\(989\) | −17.0461 | − | 6.82421i | −0.542033 | − | 0.216997i | ||||
\(990\) | 3.67970 | − | 8.05741i | 0.116948 | − | 0.256081i | ||||
\(991\) | 2.76021 | − | 3.18545i | 0.0876808 | − | 0.101189i | −0.710214 | − | 0.703986i | \(-0.751402\pi\) |
0.797895 | + | 0.602797i | \(0.205947\pi\) | |||||||
\(992\) | 1.79666 | − | 7.40594i | 0.0570440 | − | 0.235139i | ||||
\(993\) | −12.3642 | − | 11.7892i | −0.392366 | − | 0.374120i | ||||
\(994\) | −12.9656 | + | 10.1963i | −0.411244 | + | 0.323406i | ||||
\(995\) | −4.04074 | − | 84.8255i | −0.128100 | − | 2.68915i | ||||
\(996\) | 1.99737 | + | 4.37363i | 0.0632891 | + | 0.138584i | ||||
\(997\) | −0.257846 | − | 0.0757103i | −0.00816605 | − | 0.00239777i | 0.277647 | − | 0.960683i | \(-0.410445\pi\) |
−0.285813 | + | 0.958285i | \(0.592264\pi\) | |||||||
\(998\) | −13.7108 | + | 19.2541i | −0.434008 | + | 0.609479i | ||||
\(999\) | 9.36504 | + | 7.36475i | 0.296297 | + | 0.233010i |
(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 | 201.2.m.a.4.4 | ✓ | 100 | |
3.2 | odd | 2 | 603.2.z.b.406.2 | 100 | |||
67.17 | even | 33 | inner | 201.2.m.a.151.4 | yes | 100 | |
201.17 | odd | 66 | 603.2.z.b.352.2 | 100 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
201.2.m.a.4.4 | ✓ | 100 | 1.1 | even | 1 | trivial | |
201.2.m.a.151.4 | yes | 100 | 67.17 | even | 33 | inner | |
603.2.z.b.352.2 | 100 | 201.17 | odd | 66 | |||
603.2.z.b.406.2 | 100 | 3.2 | odd | 2 |