Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(47,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([7, 15]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.47");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.bd (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 47.11 | ||
Character | \(\chi\) | \(=\) | 189.47 |
Dual form | 189.2.bd.a.185.11 |
$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{7}{18}\right)\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0147002 | − | 0.00259205i | −0.0103946 | − | 0.00183285i | 0.168448 | − | 0.985710i | \(-0.446124\pi\) |
−0.178843 | + | 0.983878i | \(0.557235\pi\) | |||||||
\(3\) | −1.71867 | + | 0.214901i | −0.992273 | + | 0.124073i | ||||
\(4\) | −1.87918 | − | 0.683964i | −0.939588 | − | 0.341982i | ||||
\(5\) | 1.54651 | + | 0.562885i | 0.691622 | + | 0.251730i | 0.663829 | − | 0.747884i | \(-0.268930\pi\) |
0.0277922 | + | 0.999614i | \(0.491152\pi\) | |||||||
\(6\) | 0.0258218 | + | 0.00129578i | 0.0105417 | + | 0.000528999i | ||||
\(7\) | 2.21011 | + | 1.45445i | 0.835342 | + | 0.549730i | ||||
\(8\) | 0.0517058 | + | 0.0298524i | 0.0182808 | + | 0.0105544i | ||||
\(9\) | 2.90764 | − | 0.738686i | 0.969212 | − | 0.246229i | ||||
\(10\) | −0.0212751 | − | 0.0122832i | −0.00672777 | − | 0.00388428i | ||||
\(11\) | 1.57083 | + | 4.31582i | 0.473623 | + | 1.30127i | 0.914821 | + | 0.403859i | \(0.132331\pi\) |
−0.441199 | + | 0.897409i | \(0.645447\pi\) | |||||||
\(12\) | 3.37666 | + | 0.771671i | 0.974759 | + | 0.222762i | ||||
\(13\) | −1.52751 | + | 4.19679i | −0.423654 | + | 1.16398i | 0.525946 | + | 0.850518i | \(0.323711\pi\) |
−0.949600 | + | 0.313463i | \(0.898511\pi\) | |||||||
\(14\) | −0.0287191 | − | 0.0271094i | −0.00767551 | − | 0.00724530i | ||||
\(15\) | −2.77891 | − | 0.635065i | −0.717510 | − | 0.163973i | ||||
\(16\) | 3.06315 | + | 2.57029i | 0.765788 | + | 0.642573i | ||||
\(17\) | 1.88705 | − | 3.26847i | 0.457677 | − | 0.792720i | −0.541160 | − | 0.840919i | \(-0.682015\pi\) |
0.998838 | + | 0.0481990i | \(0.0153482\pi\) | |||||||
\(18\) | −0.0446576 | + | 0.00332212i | −0.0105259 | + | 0.000783031i | ||||
\(19\) | −1.27160 | + | 0.734160i | −0.291726 | + | 0.168428i | −0.638720 | − | 0.769439i | \(-0.720536\pi\) |
0.346994 | + | 0.937867i | \(0.387202\pi\) | |||||||
\(20\) | −2.52118 | − | 2.11552i | −0.563752 | − | 0.473044i | ||||
\(21\) | −4.11100 | − | 2.02476i | −0.897094 | − | 0.441839i | ||||
\(22\) | −0.0119048 | − | 0.0675152i | −0.00253810 | − | 0.0143943i | ||||
\(23\) | 7.31736 | − | 1.29025i | 1.52578 | − | 0.269035i | 0.653076 | − | 0.757293i | \(-0.273478\pi\) |
0.872700 | + | 0.488257i | \(0.162367\pi\) | |||||||
\(24\) | −0.0952804 | − | 0.0401947i | −0.0194490 | − | 0.00820470i | ||||
\(25\) | −1.75536 | − | 1.47292i | −0.351072 | − | 0.294584i | ||||
\(26\) | 0.0333330 | − | 0.0577345i | 0.00653714 | − | 0.0113227i | ||||
\(27\) | −4.83851 | + | 1.89441i | −0.931172 | + | 0.364579i | ||||
\(28\) | −3.15839 | − | 4.24480i | −0.596880 | − | 0.802192i | ||||
\(29\) | −2.83246 | − | 7.78213i | −0.525975 | − | 1.44511i | −0.863771 | − | 0.503885i | \(-0.831903\pi\) |
0.337795 | − | 0.941220i | \(-0.390319\pi\) | |||||||
\(30\) | 0.0392044 | + | 0.0165387i | 0.00715772 | + | 0.00301953i | ||||
\(31\) | −2.87381 | + | 7.89573i | −0.516152 | + | 1.41812i | 0.358576 | + | 0.933501i | \(0.383262\pi\) |
−0.874728 | + | 0.484615i | \(0.838960\pi\) | |||||||
\(32\) | −0.115122 | − | 0.137197i | −0.0203508 | − | 0.0242532i | ||||
\(33\) | −3.62721 | − | 7.07988i | −0.631415 | − | 1.23245i | ||||
\(34\) | −0.0362121 | + | 0.0431559i | −0.00621033 | + | 0.00740118i | ||||
\(35\) | 2.59927 | + | 3.49336i | 0.439358 | + | 0.590485i | ||||
\(36\) | −5.96919 | − | 0.600598i | −0.994865 | − | 0.100100i | ||||
\(37\) | −0.794639 | −0.130638 | −0.0653190 | − | 0.997864i | \(-0.520806\pi\) | ||||
−0.0653190 | + | 0.997864i | \(0.520806\pi\) | |||||||
\(38\) | 0.0205958 | − | 0.00749627i | 0.00334109 | − | 0.00121606i | ||||
\(39\) | 1.72338 | − | 7.54116i | 0.275962 | − | 1.20755i | ||||
\(40\) | 0.0631602 | + | 0.0752714i | 0.00998651 | + | 0.0119015i | ||||
\(41\) | 3.97658 | + | 1.44736i | 0.621037 | + | 0.226039i | 0.633326 | − | 0.773885i | \(-0.281689\pi\) |
−0.0122884 | + | 0.999924i | \(0.503912\pi\) | |||||||
\(42\) | 0.0551844 | + | 0.0404204i | 0.00851514 | + | 0.00623700i | ||||
\(43\) | −0.303215 | + | 1.71962i | −0.0462399 | + | 0.262239i | −0.999160 | − | 0.0409825i | \(-0.986951\pi\) |
0.952920 | + | 0.303222i | \(0.0980623\pi\) | |||||||
\(44\) | − | 9.18457i | − | 1.38463i | ||||||
\(45\) | 4.91249 | + | 0.494277i | 0.732311 | + | 0.0736824i | ||||
\(46\) | −0.110911 | −0.0163530 | ||||||||
\(47\) | −1.54917 | + | 0.563852i | −0.225970 | + | 0.0822463i | −0.452524 | − | 0.891752i | \(-0.649476\pi\) |
0.226554 | + | 0.973999i | \(0.427254\pi\) | |||||||
\(48\) | −5.81690 | − | 3.75920i | −0.839597 | − | 0.542594i | ||||
\(49\) | 2.76916 | + | 6.42898i | 0.395594 | + | 0.918425i | ||||
\(50\) | 0.0219863 | + | 0.0262023i | 0.00310933 | + | 0.00370556i | ||||
\(51\) | −2.54082 | + | 6.02294i | −0.355786 | + | 0.843380i | ||||
\(52\) | 5.74091 | − | 6.84175i | 0.796121 | − | 0.948780i | ||||
\(53\) | 3.66888 | − | 2.11823i | 0.503959 | − | 0.290961i | −0.226388 | − | 0.974037i | \(-0.572692\pi\) |
0.730347 | + | 0.683076i | \(0.239358\pi\) | |||||||
\(54\) | 0.0760377 | − | 0.0153066i | 0.0103474 | − | 0.00208296i | ||||
\(55\) | 7.55866i | 1.01921i | ||||||||
\(56\) | 0.0708567 | + | 0.141180i | 0.00946863 | + | 0.0188660i | ||||
\(57\) | 2.02769 | − | 1.53505i | 0.268574 | − | 0.203322i | ||||
\(58\) | 0.0214662 | + | 0.121741i | 0.00281865 | + | 0.0159854i | ||||
\(59\) | −8.85828 | + | 7.43298i | −1.15325 | + | 0.967691i | −0.999791 | − | 0.0204636i | \(-0.993486\pi\) |
−0.153459 | + | 0.988155i | \(0.549041\pi\) | |||||||
\(60\) | 4.78769 | + | 3.09407i | 0.618088 | + | 0.399443i | ||||
\(61\) | 1.02900 | + | 2.82714i | 0.131749 | + | 0.361978i | 0.987973 | − | 0.154627i | \(-0.0494176\pi\) |
−0.856224 | + | 0.516605i | \(0.827195\pi\) | |||||||
\(62\) | 0.0627118 | − | 0.108620i | 0.00796441 | − | 0.0137948i | ||||
\(63\) | 7.50057 | + | 2.59643i | 0.944983 | + | 0.327120i | ||||
\(64\) | −3.99733 | − | 6.92357i | −0.499666 | − | 0.865447i | ||||
\(65\) | −4.72462 | + | 5.63058i | −0.586017 | + | 0.698388i | ||||
\(66\) | 0.0349694 | + | 0.113478i | 0.00430443 | + | 0.0139682i | ||||
\(67\) | −1.88292 | − | 10.6785i | −0.230035 | − | 1.30459i | −0.852823 | − | 0.522201i | \(-0.825111\pi\) |
0.622788 | − | 0.782391i | \(-0.286000\pi\) | |||||||
\(68\) | −5.78162 | + | 4.85135i | −0.701124 | + | 0.588313i | ||||
\(69\) | −12.2988 | + | 3.79001i | −1.48061 | + | 0.456264i | ||||
\(70\) | −0.0291550 | − | 0.0580906i | −0.00348469 | − | 0.00694316i | ||||
\(71\) | 6.66808 | − | 3.84982i | 0.791355 | − | 0.456889i | −0.0490844 | − | 0.998795i | \(-0.515630\pi\) |
0.840439 | + | 0.541906i | \(0.182297\pi\) | |||||||
\(72\) | 0.172393 | + | 0.0486054i | 0.0203167 | + | 0.00572821i | ||||
\(73\) | − | 15.8281i | − | 1.85254i | −0.376858 | − | 0.926271i | \(-0.622995\pi\) | ||
0.376858 | − | 0.926271i | \(-0.377005\pi\) | |||||||
\(74\) | 0.0116814 | + | 0.00205974i | 0.00135793 | + | 0.000239440i | ||||
\(75\) | 3.33341 | + | 2.15423i | 0.384909 | + | 0.248750i | ||||
\(76\) | 2.89171 | − | 0.509886i | 0.331701 | − | 0.0584879i | ||||
\(77\) | −2.80543 | + | 11.8231i | −0.319709 | + | 1.34737i | ||||
\(78\) | −0.0448812 | + | 0.106390i | −0.00508179 | + | 0.0120463i | ||||
\(79\) | 0.276799 | − | 1.56981i | 0.0311423 | − | 0.176617i | −0.965269 | − | 0.261257i | \(-0.915863\pi\) |
0.996412 | + | 0.0846402i | \(0.0269741\pi\) | |||||||
\(80\) | 3.29043 | + | 5.69919i | 0.367881 | + | 0.637189i | ||||
\(81\) | 7.90869 | − | 4.29566i | 0.878743 | − | 0.477295i | ||||
\(82\) | −0.0547050 | − | 0.0315840i | −0.00604116 | − | 0.00348787i | ||||
\(83\) | 4.61667 | − | 1.68033i | 0.506745 | − | 0.184440i | −0.0759804 | − | 0.997109i | \(-0.524209\pi\) |
0.582725 | + | 0.812669i | \(0.301986\pi\) | |||||||
\(84\) | 6.34044 | + | 6.61666i | 0.691798 | + | 0.721937i | ||||
\(85\) | 4.75812 | − | 3.99254i | 0.516091 | − | 0.433051i | ||||
\(86\) | 0.00891467 | − | 0.0244929i | 0.000961293 | − | 0.00264113i | ||||
\(87\) | 6.54045 | + | 12.7662i | 0.701210 | + | 1.36868i | ||||
\(88\) | −0.0476164 | + | 0.270046i | −0.00507592 | + | 0.0287870i | ||||
\(89\) | −3.59252 | − | 6.22243i | −0.380807 | − | 0.659577i | 0.610371 | − | 0.792116i | \(-0.291020\pi\) |
−0.991178 | + | 0.132539i | \(0.957687\pi\) | |||||||
\(90\) | −0.0709336 | − | 0.0199994i | −0.00747705 | − | 0.00210812i | ||||
\(91\) | −9.47998 | + | 7.05369i | −0.993772 | + | 0.739427i | ||||
\(92\) | −14.6331 | − | 2.58021i | −1.52561 | − | 0.269005i | ||||
\(93\) | 3.24233 | − | 14.1877i | 0.336214 | − | 1.47120i | ||||
\(94\) | 0.0242347 | − | 0.00427323i | 0.00249962 | − | 0.000440750i | ||||
\(95\) | −2.37980 | + | 0.419623i | −0.244162 | + | 0.0430524i | ||||
\(96\) | 0.227340 | + | 0.211056i | 0.0232027 | + | 0.0215408i | ||||
\(97\) | −1.56544 | − | 0.276029i | −0.158946 | − | 0.0280265i | 0.0936086 | − | 0.995609i | \(-0.470160\pi\) |
−0.252555 | + | 0.967583i | \(0.581271\pi\) | |||||||
\(98\) | −0.0240431 | − | 0.101685i | −0.00242872 | − | 0.0102718i | ||||
\(99\) | 7.75543 | + | 11.3885i | 0.779450 | + | 1.14458i | ||||
\(100\) | 2.29120 | + | 3.96848i | 0.229120 | + | 0.396848i | ||||
\(101\) | 0.401328 | − | 2.27604i | 0.0399336 | − | 0.226475i | −0.958309 | − | 0.285734i | \(-0.907763\pi\) |
0.998243 | + | 0.0592590i | \(0.0188738\pi\) | |||||||
\(102\) | 0.0529624 | − | 0.0819527i | 0.00524406 | − | 0.00811453i | ||||
\(103\) | 0.187058 | − | 0.513937i | 0.0184313 | − | 0.0506397i | −0.930136 | − | 0.367216i | \(-0.880311\pi\) |
0.948567 | + | 0.316576i | \(0.102533\pi\) | |||||||
\(104\) | −0.204265 | + | 0.171399i | −0.0200299 | + | 0.0168070i | ||||
\(105\) | −5.21801 | − | 5.44534i | −0.509226 | − | 0.531410i | ||||
\(106\) | −0.0594239 | + | 0.0216285i | −0.00577176 | + | 0.00210075i | ||||
\(107\) | 2.89299 | + | 1.67027i | 0.279676 | + | 0.161471i | 0.633277 | − | 0.773925i | \(-0.281709\pi\) |
−0.353601 | + | 0.935397i | \(0.615043\pi\) | |||||||
\(108\) | 10.3881 | − | 0.250555i | 0.999598 | − | 0.0241097i | ||||
\(109\) | 1.92585 | + | 3.33567i | 0.184463 | + | 0.319499i | 0.943395 | − | 0.331670i | \(-0.107612\pi\) |
−0.758932 | + | 0.651169i | \(0.774279\pi\) | |||||||
\(110\) | 0.0195924 | − | 0.111114i | 0.00186806 | − | 0.0105943i | ||||
\(111\) | 1.36572 | − | 0.170769i | 0.129628 | − | 0.0162086i | ||||
\(112\) | 3.03155 | + | 10.1358i | 0.286454 | + | 0.957745i | ||||
\(113\) | 4.52691 | − | 0.798216i | 0.425856 | − | 0.0750899i | 0.0433872 | − | 0.999058i | \(-0.486185\pi\) |
0.382469 | + | 0.923968i | \(0.375074\pi\) | |||||||
\(114\) | −0.0337864 | + | 0.0173097i | −0.00316439 | + | 0.00162120i | ||||
\(115\) | 12.0427 | + | 2.12344i | 1.12298 | + | 0.198012i | ||||
\(116\) | 16.5613i | 1.53768i | ||||||||
\(117\) | −1.34133 | + | 13.3311i | −0.124006 | + | 1.23246i | ||||
\(118\) | 0.149485 | − | 0.0863054i | 0.0137612 | − | 0.00794506i | ||||
\(119\) | 8.92441 | − | 4.47905i | 0.818099 | − | 0.410594i | ||||
\(120\) | −0.124727 | − | 0.115793i | −0.0113860 | − | 0.0105704i | ||||
\(121\) | −7.73229 | + | 6.48816i | −0.702935 | + | 0.589833i | ||||
\(122\) | −0.00779839 | − | 0.0442268i | −0.000706033 | − | 0.00400411i | ||||
\(123\) | −7.14545 | − | 1.63295i | −0.644284 | − | 0.147239i | ||||
\(124\) | 10.8008 | − | 12.8719i | 0.969940 | − | 1.15593i | ||||
\(125\) | −6.00001 | − | 10.3923i | −0.536657 | − | 0.929518i | ||||
\(126\) | −0.103530 | − | 0.0576100i | −0.00922319 | − | 0.00513230i | ||||
\(127\) | 2.63202 | − | 4.55879i | 0.233554 | − | 0.404527i | −0.725298 | − | 0.688435i | \(-0.758298\pi\) |
0.958851 | + | 0.283908i | \(0.0916312\pi\) | |||||||
\(128\) | 0.163325 | + | 0.448733i | 0.0144361 | + | 0.0396627i | ||||
\(129\) | 0.151579 | − | 3.02061i | 0.0133458 | − | 0.265950i | ||||
\(130\) | 0.0840478 | − | 0.0705245i | 0.00737148 | − | 0.00618540i | ||||
\(131\) | −2.62848 | − | 14.9069i | −0.229652 | − | 1.30242i | −0.853590 | − | 0.520946i | \(-0.825579\pi\) |
0.623938 | − | 0.781474i | \(-0.285532\pi\) | |||||||
\(132\) | 1.97377 | + | 15.7852i | 0.171795 | + | 1.37393i | ||||
\(133\) | −3.87818 | − | 0.226907i | −0.336281 | − | 0.0196753i | ||||
\(134\) | 0.161858i | 0.0139824i | ||||||||
\(135\) | −8.54916 | + | 0.206200i | −0.735794 | + | 0.0177469i | ||||
\(136\) | 0.195143 | − | 0.112666i | 0.0167334 | − | 0.00966102i | ||||
\(137\) | −2.29638 | + | 2.73672i | −0.196193 | + | 0.233814i | −0.855168 | − | 0.518351i | \(-0.826546\pi\) |
0.658975 | + | 0.752165i | \(0.270990\pi\) | |||||||
\(138\) | 0.190620 | − | 0.0238349i | 0.0162266 | − | 0.00202896i | ||||
\(139\) | 3.91305 | + | 4.66340i | 0.331901 | + | 0.395544i | 0.906025 | − | 0.423224i | \(-0.139102\pi\) |
−0.574124 | + | 0.818768i | \(0.694657\pi\) | |||||||
\(140\) | −2.49516 | − | 8.34245i | −0.210880 | − | 0.705065i | ||||
\(141\) | 2.54134 | − | 1.30199i | 0.214019 | − | 0.109648i | ||||
\(142\) | −0.108001 | + | 0.0393092i | −0.00906326 | + | 0.00329876i | ||||
\(143\) | −20.5121 | −1.71530 | ||||||||
\(144\) | 10.8052 | + | 5.21076i | 0.900431 | + | 0.434230i | ||||
\(145\) | − | 13.6295i | − | 1.13187i | ||||||
\(146\) | −0.0410273 | + | 0.232677i | −0.00339544 | + | 0.0192565i | ||||
\(147\) | −6.14086 | − | 10.4542i | −0.506489 | − | 0.862246i | ||||
\(148\) | 1.49327 | + | 0.543505i | 0.122746 | + | 0.0446758i | ||||
\(149\) | 12.9982 | + | 15.4906i | 1.06485 | + | 1.26904i | 0.961620 | + | 0.274383i | \(0.0884738\pi\) |
0.103231 | + | 0.994657i | \(0.467082\pi\) | |||||||
\(150\) | −0.0434180 | − | 0.0403081i | −0.00354507 | − | 0.00329114i | ||||
\(151\) | −17.9723 | + | 6.54137i | −1.46256 | + | 0.532329i | −0.946070 | − | 0.323963i | \(-0.894985\pi\) |
−0.516492 | + | 0.856292i | \(0.672762\pi\) | |||||||
\(152\) | −0.0876657 | −0.00711062 | ||||||||
\(153\) | 3.07249 | − | 10.8975i | 0.248396 | − | 0.881007i | ||||
\(154\) | 0.0718866 | − | 0.166531i | 0.00579279 | − | 0.0134194i | ||||
\(155\) | −8.88877 | + | 10.5932i | −0.713963 | + | 0.850868i | ||||
\(156\) | −8.39642 | + | 12.9924i | −0.672252 | + | 1.04023i | ||||
\(157\) | −10.2114 | − | 12.1695i | −0.814957 | − | 0.971228i | 0.184977 | − | 0.982743i | \(-0.440779\pi\) |
−0.999934 | + | 0.0115149i | \(0.996335\pi\) | |||||||
\(158\) | −0.00813802 | + | 0.0223590i | −0.000647426 | + | 0.00177879i | ||||
\(159\) | −5.85037 | + | 4.42897i | −0.463965 | + | 0.351240i | ||||
\(160\) | −0.100811 | − | 0.276977i | −0.00796983 | − | 0.0218969i | ||||
\(161\) | 18.0488 | + | 7.79114i | 1.42244 | + | 0.614028i | ||||
\(162\) | −0.127394 | + | 0.0426475i | −0.0100090 | + | 0.00335070i | ||||
\(163\) | 8.71884 | − | 15.1015i | 0.682912 | − | 1.18284i | −0.291176 | − | 0.956670i | \(-0.594046\pi\) |
0.974088 | − | 0.226169i | \(-0.0726202\pi\) | |||||||
\(164\) | −6.48275 | − | 5.43967i | −0.506218 | − | 0.424767i | ||||
\(165\) | −1.62436 | − | 12.9908i | −0.126456 | − | 1.01133i | ||||
\(166\) | −0.0722216 | + | 0.0127346i | −0.00560548 | + | 0.000988397i | ||||
\(167\) | −1.64317 | − | 9.31890i | −0.127153 | − | 0.721118i | −0.980006 | − | 0.198968i | \(-0.936241\pi\) |
0.852853 | − | 0.522150i | \(-0.174870\pi\) | |||||||
\(168\) | −0.152119 | − | 0.227415i | −0.0117362 | − | 0.0175454i | ||||
\(169\) | −5.32122 | − | 4.46503i | −0.409325 | − | 0.343464i | ||||
\(170\) | −0.0802943 | + | 0.0463580i | −0.00615829 | + | 0.00355549i | ||||
\(171\) | −3.15504 | + | 3.07399i | −0.241272 | + | 0.235074i | ||||
\(172\) | 1.74595 | − | 3.02408i | 0.133128 | − | 0.230584i | ||||
\(173\) | 1.16427 | + | 0.976939i | 0.0885179 | + | 0.0742753i | 0.685973 | − | 0.727627i | \(-0.259377\pi\) |
−0.597455 | + | 0.801902i | \(0.703821\pi\) | |||||||
\(174\) | −0.0630555 | − | 0.204619i | −0.00478023 | − | 0.0155121i | ||||
\(175\) | −1.73725 | − | 5.80840i | −0.131323 | − | 0.439074i | ||||
\(176\) | −6.28122 | + | 17.2575i | −0.473465 | + | 1.30083i | ||||
\(177\) | 13.6271 | − | 14.6785i | 1.02427 | − | 1.10330i | ||||
\(178\) | 0.0366821 | + | 0.100783i | 0.00274944 | + | 0.00755402i | ||||
\(179\) | −7.44216 | − | 4.29673i | −0.556253 | − | 0.321153i | 0.195387 | − | 0.980726i | \(-0.437404\pi\) |
−0.751640 | + | 0.659573i | \(0.770737\pi\) | |||||||
\(180\) | −8.89337 | − | 4.28880i | −0.662872 | − | 0.319668i | ||||
\(181\) | 9.18805 | + | 5.30472i | 0.682942 | + | 0.394297i | 0.800963 | − | 0.598714i | \(-0.204322\pi\) |
−0.118021 | + | 0.993011i | \(0.537655\pi\) | |||||||
\(182\) | 0.157641 | − | 0.0791183i | 0.0116852 | − | 0.00586464i | ||||
\(183\) | −2.37605 | − | 4.63778i | −0.175643 | − | 0.342835i | ||||
\(184\) | 0.416867 | + | 0.151727i | 0.0307318 | + | 0.0111855i | ||||
\(185\) | −1.22892 | − | 0.447290i | −0.0903520 | − | 0.0328854i | ||||
\(186\) | −0.0844382 | + | 0.200159i | −0.00619131 | + | 0.0146763i | ||||
\(187\) | 17.0704 | + | 3.00996i | 1.24831 | + | 0.220110i | ||||
\(188\) | 3.29682 | 0.240445 | ||||||||
\(189\) | −13.4490 | − | 2.85052i | −0.978268 | − | 0.207345i | ||||
\(190\) | 0.0360713 | 0.00261688 | ||||||||
\(191\) | −9.68268 | − | 1.70732i | −0.700614 | − | 0.123537i | −0.188016 | − | 0.982166i | \(-0.560206\pi\) |
−0.512598 | + | 0.858629i | \(0.671317\pi\) | |||||||
\(192\) | 8.35796 | + | 11.0403i | 0.603183 | + | 0.796764i | ||||
\(193\) | −18.3352 | − | 6.67347i | −1.31980 | − | 0.480367i | −0.416404 | − | 0.909180i | \(-0.636710\pi\) |
−0.903393 | + | 0.428813i | \(0.858932\pi\) | |||||||
\(194\) | 0.0222969 | + | 0.00811539i | 0.00160082 | + | 0.000582651i | ||||
\(195\) | 6.91004 | − | 10.6924i | 0.494838 | − | 0.765701i | ||||
\(196\) | −0.806547 | − | 13.9752i | −0.0576105 | − | 0.998228i | ||||
\(197\) | −3.74738 | − | 2.16355i | −0.266990 | − | 0.154147i | 0.360529 | − | 0.932748i | \(-0.382596\pi\) |
−0.627519 | + | 0.778601i | \(0.715930\pi\) | |||||||
\(198\) | −0.0844872 | − | 0.187516i | −0.00600424 | − | 0.0133262i | ||||
\(199\) | 1.46886 | + | 0.848046i | 0.104125 | + | 0.0601164i | 0.551158 | − | 0.834401i | \(-0.314186\pi\) |
−0.447033 | + | 0.894517i | \(0.647519\pi\) | |||||||
\(200\) | −0.0467921 | − | 0.128560i | −0.00330870 | − | 0.00909058i | ||||
\(201\) | 5.53093 | + | 17.9482i | 0.390122 | + | 1.26597i | ||||
\(202\) | −0.0117992 | + | 0.0324181i | −0.000830191 | + | 0.00228093i | ||||
\(203\) | 5.05865 | − | 21.3190i | 0.355048 | − | 1.49630i | ||||
\(204\) | 8.89412 | − | 9.58034i | 0.622713 | − | 0.670758i | ||||
\(205\) | 5.33514 | + | 4.47671i | 0.372622 | + | 0.312667i | ||||
\(206\) | −0.00408194 | + | 0.00707013i | −0.000284402 | + | 0.000492599i | ||||
\(207\) | 20.3231 | − | 9.15680i | 1.41256 | − | 0.636442i | ||||
\(208\) | −15.4660 | + | 8.92928i | −1.07237 | + | 0.619134i | ||||
\(209\) | −5.16597 | − | 4.33477i | −0.357338 | − | 0.299842i | ||||
\(210\) | 0.0625914 | + | 0.0935731i | 0.00431922 | + | 0.00645716i | ||||
\(211\) | 1.04647 | + | 5.93483i | 0.0720420 | + | 0.408570i | 0.999408 | + | 0.0344141i | \(0.0109565\pi\) |
−0.927366 | + | 0.374156i | \(0.877932\pi\) | |||||||
\(212\) | −8.34326 | + | 1.47114i | −0.573017 | + | 0.101038i | ||||
\(213\) | −10.6329 | + | 8.04953i | −0.728553 | + | 0.551544i | ||||
\(214\) | −0.0381983 | − | 0.0320521i | −0.00261118 | − | 0.00219104i | ||||
\(215\) | −1.43687 | + | 2.48874i | −0.0979939 | + | 0.169730i | ||||
\(216\) | −0.306732 | − | 0.0464892i | −0.0208705 | − | 0.00316319i | ||||
\(217\) | −17.8354 | + | 13.2706i | −1.21074 | + | 0.900868i | ||||
\(218\) | −0.0196642 | − | 0.0540270i | −0.00133183 | − | 0.00365917i | ||||
\(219\) | 3.40148 | + | 27.2033i | 0.229850 | + | 1.83823i | ||||
\(220\) | 5.16985 | − | 14.2041i | 0.348551 | − | 0.957637i | ||||
\(221\) | 10.8346 | + | 12.9122i | 0.728814 | + | 0.868567i | ||||
\(222\) | −0.0205191 | − | 0.00102968i | −0.00137715 | − | 6.91074e-5i | ||||
\(223\) | 0.590154 | − | 0.703318i | 0.0395196 | − | 0.0470976i | −0.745923 | − | 0.666033i | \(-0.767991\pi\) |
0.785442 | + | 0.618935i | \(0.212436\pi\) | |||||||
\(224\) | −0.0548859 | − | 0.470658i | −0.00366722 | − | 0.0314472i | ||||
\(225\) | −6.19197 | − | 2.98606i | −0.412798 | − | 0.199071i | ||||
\(226\) | −0.0686157 | −0.00456425 | ||||||||
\(227\) | −12.5247 | + | 4.55861i | −0.831293 | + | 0.302566i | −0.722389 | − | 0.691487i | \(-0.756956\pi\) |
−0.108903 | + | 0.994052i | \(0.534734\pi\) | |||||||
\(228\) | −4.86030 | + | 1.49775i | −0.321882 | + | 0.0991911i | ||||
\(229\) | 7.91645 | + | 9.43446i | 0.523134 | + | 0.623447i | 0.961319 | − | 0.275438i | \(-0.0888229\pi\) |
−0.438185 | + | 0.898885i | \(0.644378\pi\) | |||||||
\(230\) | −0.171526 | − | 0.0624303i | −0.0113101 | − | 0.00411653i | ||||
\(231\) | 2.28081 | − | 20.9229i | 0.150066 | − | 1.37663i | ||||
\(232\) | 0.0858601 | − | 0.486937i | 0.00563699 | − | 0.0319690i | ||||
\(233\) | − | 24.9355i | − | 1.63358i | −0.576937 | − | 0.816788i | \(-0.695752\pi\) | ||
0.576937 | − | 0.816788i | \(-0.304248\pi\) | |||||||
\(234\) | 0.0542726 | − | 0.192493i | 0.00354791 | − | 0.0125837i | ||||
\(235\) | −2.71320 | −0.176989 | ||||||||
\(236\) | 21.7302 | − | 7.90913i | 1.41451 | − | 0.514840i | ||||
\(237\) | −0.138373 | + | 2.75746i | −0.00898831 | + | 0.179116i | ||||
\(238\) | −0.142801 | + | 0.0427106i | −0.00925640 | + | 0.00276852i | ||||
\(239\) | 7.34853 | + | 8.75764i | 0.475337 | + | 0.566485i | 0.949425 | − | 0.313993i | \(-0.101667\pi\) |
−0.474088 | + | 0.880477i | \(0.657222\pi\) | |||||||
\(240\) | −6.87991 | − | 9.08790i | −0.444096 | − | 0.586621i | ||||
\(241\) | −3.95464 | + | 4.71296i | −0.254741 | + | 0.303588i | −0.878225 | − | 0.478248i | \(-0.841272\pi\) |
0.623484 | + | 0.781836i | \(0.285717\pi\) | |||||||
\(242\) | 0.130484 | − | 0.0753350i | 0.00838784 | − | 0.00484272i | ||||
\(243\) | −12.6693 | + | 9.08239i | −0.812734 | + | 0.582635i | ||||
\(244\) | − | 6.01649i | − | 0.385166i | ||||||
\(245\) | 0.663767 | + | 11.5012i | 0.0424065 | + | 0.734786i | ||||
\(246\) | 0.100807 | + | 0.0425262i | 0.00642723 | + | 0.00271137i | ||||
\(247\) | −1.13874 | − | 6.45809i | −0.0724560 | − | 0.410919i | ||||
\(248\) | −0.384299 | + | 0.322465i | −0.0244030 | + | 0.0204766i | ||||
\(249\) | −7.57341 | + | 3.88005i | −0.479945 | + | 0.245888i | ||||
\(250\) | 0.0612642 | + | 0.168322i | 0.00387469 | + | 0.0106456i | ||||
\(251\) | −6.31801 | + | 10.9431i | −0.398789 | + | 0.690724i | −0.993577 | − | 0.113160i | \(-0.963903\pi\) |
0.594787 | + | 0.803883i | \(0.297236\pi\) | |||||||
\(252\) | −12.3190 | − | 10.0093i | −0.776026 | − | 0.630525i | ||||
\(253\) | 17.0628 | + | 29.5536i | 1.07273 | + | 1.85802i | ||||
\(254\) | −0.0505079 | + | 0.0601929i | −0.00316915 | + | 0.00377684i | ||||
\(255\) | −7.31963 | + | 7.88437i | −0.458373 | + | 0.493738i | ||||
\(256\) | 2.77528 | + | 15.7394i | 0.173455 | + | 0.983711i | ||||
\(257\) | 11.4631 | − | 9.61867i | 0.715048 | − | 0.599996i | −0.210963 | − | 0.977494i | \(-0.567660\pi\) |
0.926010 | + | 0.377498i | \(0.123215\pi\) | |||||||
\(258\) | −0.0100578 | + | 0.0440108i | −0.000626173 | + | 0.00273999i | ||||
\(259\) | −1.75624 | − | 1.15576i | −0.109127 | − | 0.0718156i | ||||
\(260\) | 12.7295 | − | 7.34939i | 0.789451 | − | 0.455790i | ||||
\(261\) | −13.9843 | − | 20.5353i | −0.865607 | − | 1.27110i | ||||
\(262\) | 0.225948i | 0.0139591i | ||||||||
\(263\) | 15.6917 | + | 2.76688i | 0.967594 | + | 0.170613i | 0.635047 | − | 0.772474i | \(-0.280981\pi\) |
0.332547 | + | 0.943087i | \(0.392092\pi\) | |||||||
\(264\) | 0.0238037 | − | 0.474352i | 0.00146501 | − | 0.0291943i | ||||
\(265\) | 6.86628 | − | 1.21071i | 0.421792 | − | 0.0743734i | ||||
\(266\) | 0.0564220 | + | 0.0133880i | 0.00345945 | + | 0.000820872i | ||||
\(267\) | 7.51156 | + | 9.92226i | 0.459700 | + | 0.607232i | ||||
\(268\) | −3.76541 | + | 21.3547i | −0.230009 | + | 1.30445i | ||||
\(269\) | 4.94336 | + | 8.56215i | 0.301402 | + | 0.522044i | 0.976454 | − | 0.215727i | \(-0.0692121\pi\) |
−0.675052 | + | 0.737770i | \(0.735879\pi\) | |||||||
\(270\) | 0.126209 | + | 0.0191286i | 0.00768084 | + | 0.00116413i | ||||
\(271\) | 1.92889 | + | 1.11364i | 0.117171 | + | 0.0676490i | 0.557440 | − | 0.830217i | \(-0.311784\pi\) |
−0.440269 | + | 0.897866i | \(0.645117\pi\) | |||||||
\(272\) | 14.1812 | − | 5.16155i | 0.859864 | − | 0.312965i | ||||
\(273\) | 14.7771 | − | 14.1602i | 0.894350 | − | 0.857014i | ||||
\(274\) | 0.0408511 | − | 0.0342782i | 0.00246791 | − | 0.00207082i | ||||
\(275\) | 3.59949 | − | 9.88952i | 0.217057 | − | 0.596361i | ||||
\(276\) | 25.7039 | + | 1.28986i | 1.54719 | + | 0.0776404i | ||||
\(277\) | −1.50230 | + | 8.51996i | −0.0902644 | + | 0.511915i | 0.905832 | + | 0.423638i | \(0.139247\pi\) |
−0.996096 | + | 0.0882769i | \(0.971864\pi\) | |||||||
\(278\) | −0.0454351 | − | 0.0786958i | −0.00272501 | − | 0.00471986i | ||||
\(279\) | −2.52353 | + | 25.0808i | −0.151080 | + | 1.50155i | ||||
\(280\) | 0.0301125 | + | 0.258221i | 0.00179957 | + | 0.0154317i | ||||
\(281\) | 29.4759 | + | 5.19740i | 1.75839 | + | 0.310051i | 0.957429 | − | 0.288670i | \(-0.0932130\pi\) |
0.800958 | + | 0.598721i | \(0.204324\pi\) | |||||||
\(282\) | −0.0407331 | + | 0.0125523i | −0.00242562 | + | 0.000747480i | ||||
\(283\) | 9.64374 | − | 1.70045i | 0.573261 | − | 0.101081i | 0.120500 | − | 0.992713i | \(-0.461550\pi\) |
0.452761 | + | 0.891632i | \(0.350439\pi\) | |||||||
\(284\) | −15.1636 | + | 2.67376i | −0.899795 | + | 0.158658i | ||||
\(285\) | 3.99990 | − | 1.23261i | 0.236934 | − | 0.0730136i | ||||
\(286\) | 0.301532 | + | 0.0531682i | 0.0178300 | + | 0.00314390i | ||||
\(287\) | 6.68357 | + | 8.98254i | 0.394518 | + | 0.530223i | ||||
\(288\) | −0.436077 | − | 0.313879i | −0.0256961 | − | 0.0184955i | ||||
\(289\) | 1.37807 | + | 2.38689i | 0.0810630 | + | 0.140405i | ||||
\(290\) | −0.0353283 | + | 0.200357i | −0.00207455 | + | 0.0117654i | ||||
\(291\) | 2.74979 | + | 0.137989i | 0.161196 | + | 0.00808903i | ||||
\(292\) | −10.8259 | + | 29.7438i | −0.633536 | + | 1.74063i | ||||
\(293\) | 7.96197 | − | 6.68088i | 0.465143 | − | 0.390301i | −0.379876 | − | 0.925037i | \(-0.624033\pi\) |
0.845019 | + | 0.534736i | \(0.179589\pi\) | |||||||
\(294\) | 0.0631743 | + | 0.169596i | 0.00368440 | + | 0.00989106i | ||||
\(295\) | −17.8834 | + | 6.50901i | −1.04121 | + | 0.378969i | ||||
\(296\) | −0.0410875 | − | 0.0237219i | −0.00238816 | − | 0.00137881i | ||||
\(297\) | −15.7764 | − | 17.9064i | −0.915439 | − | 1.03903i | ||||
\(298\) | −0.150924 | − | 0.261408i | −0.00874278 | − | 0.0151429i | ||||
\(299\) | −5.76242 | + | 32.6803i | −0.333249 | + | 1.88995i | ||||
\(300\) | −4.79065 | − | 6.32812i | −0.276588 | − | 0.365354i | ||||
\(301\) | −3.17124 | + | 3.35953i | −0.182787 | + | 0.193640i | ||||
\(302\) | 0.281152 | − | 0.0495747i | 0.0161785 | − | 0.00285270i | ||||
\(303\) | −0.200626 | + | 3.99801i | −0.0115257 | + | 0.229680i | ||||
\(304\) | −5.78212 | − | 1.01954i | −0.331627 | − | 0.0584749i | ||||
\(305\) | 4.95142i | 0.283517i | ||||||||
\(306\) | −0.0734130 | + | 0.152231i | −0.00419674 | + | 0.00870247i | ||||
\(307\) | 14.7821 | − | 8.53446i | 0.843660 | − | 0.487087i | −0.0148465 | − | 0.999890i | \(-0.504726\pi\) |
0.858507 | + | 0.512802i | \(0.171393\pi\) | |||||||
\(308\) | 13.3585 | − | 20.2989i | 0.761170 | − | 1.15664i | ||||
\(309\) | −0.211045 | + | 0.923485i | −0.0120059 | + | 0.0525352i | ||||
\(310\) | 0.158125 | − | 0.132683i | 0.00898091 | − | 0.00753588i | ||||
\(311\) | −5.77607 | − | 32.7577i | −0.327531 | − | 1.85752i | −0.491260 | − | 0.871013i | \(-0.663463\pi\) |
0.163729 | − | 0.986505i | \(-0.447648\pi\) | |||||||
\(312\) | 0.314230 | − | 0.338474i | 0.0177898 | − | 0.0191623i | ||||
\(313\) | −0.628153 | + | 0.748603i | −0.0355053 | + | 0.0423135i | −0.783505 | − | 0.621386i | \(-0.786570\pi\) |
0.748000 | + | 0.663699i | \(0.231014\pi\) | |||||||
\(314\) | 0.118566 | + | 0.205362i | 0.00669106 | + | 0.0115893i | ||||
\(315\) | 10.1382 | + | 8.23737i | 0.571225 | + | 0.464123i | ||||
\(316\) | −1.59384 | + | 2.76062i | −0.0896608 | + | 0.155297i | ||||
\(317\) | 1.15835 | + | 3.18255i | 0.0650597 | + | 0.178750i | 0.967963 | − | 0.251095i | \(-0.0807905\pi\) |
−0.902903 | + | 0.429845i | \(0.858568\pi\) | |||||||
\(318\) | 0.0974820 | − | 0.0499425i | 0.00546652 | − | 0.00280064i | ||||
\(319\) | 29.1369 | − | 24.4488i | 1.63136 | − | 1.36887i | ||||
\(320\) | −2.28474 | − | 12.9574i | −0.127721 | − | 0.724342i | ||||
\(321\) | −5.33104 | − | 2.24893i | −0.297549 | − | 0.125523i | ||||
\(322\) | −0.245126 | − | 0.161315i | −0.0136603 | − | 0.00898972i | ||||
\(323\) | 5.54159i | 0.308343i | ||||||||
\(324\) | −17.7999 | + | 2.66304i | −0.988883 | + | 0.147946i | ||||
\(325\) | 8.86287 | − | 5.11698i | 0.491624 | − | 0.283839i | ||||
\(326\) | −0.167313 | + | 0.199396i | −0.00926660 | + | 0.0110435i | ||||
\(327\) | −4.02673 | − | 5.31904i | −0.222679 | − | 0.294144i | ||||
\(328\) | 0.162405 | + | 0.193547i | 0.00896733 | + | 0.0106868i | ||||
\(329\) | −4.24393 | − | 1.00702i | −0.233975 | − | 0.0555185i | ||||
\(330\) | −0.00979435 | + | 0.195179i | −0.000539161 | + | 0.0107442i | ||||
\(331\) | −5.71144 | + | 2.07879i | −0.313929 | + | 0.114261i | −0.494179 | − | 0.869360i | \(-0.664531\pi\) |
0.180250 | + | 0.983621i | \(0.442309\pi\) | |||||||
\(332\) | −9.82481 | −0.539206 | ||||||||
\(333\) | −2.31052 | + | 0.586989i | −0.126616 | + | 0.0321668i | ||||
\(334\) | 0.141249i | 0.00772881i | ||||||||
\(335\) | 3.09883 | − | 17.5744i | 0.169307 | − | 0.960190i | ||||
\(336\) | −7.38841 | − | 16.7686i | −0.403071 | − | 0.914803i | ||||
\(337\) | −16.0696 | − | 5.84885i | −0.875366 | − | 0.318607i | −0.135028 | − | 0.990842i | \(-0.543112\pi\) |
−0.740338 | + | 0.672235i | \(0.765335\pi\) | |||||||
\(338\) | 0.0666496 | + | 0.0794299i | 0.00362526 | + | 0.00432042i | ||||
\(339\) | −7.60872 | + | 2.34470i | −0.413249 | + | 0.127347i | ||||
\(340\) | −11.6721 | + | 4.24830i | −0.633008 | + | 0.230396i | ||||
\(341\) | −38.5908 | −2.08981 | ||||||||
\(342\) | 0.0543478 | − | 0.0370103i | 0.00293879 | − | 0.00200129i | ||||
\(343\) | −3.23048 | + | 18.2363i | −0.174429 | + | 0.984670i | ||||
\(344\) | −0.0670127 | + | 0.0798626i | −0.00361308 | + | 0.00430590i | ||||
\(345\) | −21.1536 | − | 1.06152i | −1.13887 | − | 0.0571504i | ||||
\(346\) | −0.0145828 | − | 0.0173791i | −0.000783975 | − | 0.000934305i | ||||
\(347\) | −7.20872 | + | 19.8058i | −0.386984 | + | 1.06323i | 0.581367 | + | 0.813641i | \(0.302518\pi\) |
−0.968352 | + | 0.249590i | \(0.919704\pi\) | |||||||
\(348\) | −3.55903 | − | 28.4634i | −0.190784 | − | 1.52580i | ||||
\(349\) | 2.22508 | + | 6.11336i | 0.119106 | + | 0.327240i | 0.984891 | − | 0.173175i | \(-0.0554027\pi\) |
−0.865785 | + | 0.500416i | \(0.833181\pi\) | |||||||
\(350\) | 0.0104823 | + | 0.0898878i | 0.000560302 | + | 0.00480471i | ||||
\(351\) | −0.559569 | − | 23.2000i | −0.0298676 | − | 1.23832i | ||||
\(352\) | 0.411279 | − | 0.712357i | 0.0219213 | − | 0.0379687i | ||||
\(353\) | 14.6259 | + | 12.2726i | 0.778459 | + | 0.653204i | 0.942860 | − | 0.333189i | \(-0.108125\pi\) |
−0.164401 | + | 0.986394i | \(0.552569\pi\) | |||||||
\(354\) | −0.238369 | + | 0.180455i | −0.0126691 | + | 0.00959107i | ||||
\(355\) | 12.4793 | − | 2.20043i | 0.662331 | − | 0.116787i | ||||
\(356\) | 2.49506 | + | 14.1502i | 0.132238 | + | 0.749959i | ||||
\(357\) | −14.3755 | + | 9.61586i | −0.760834 | + | 0.508925i | ||||
\(358\) | 0.0982642 | + | 0.0824534i | 0.00519342 | + | 0.00435780i | ||||
\(359\) | −17.4085 | + | 10.0508i | −0.918784 | + | 0.530460i | −0.883247 | − | 0.468908i | \(-0.844648\pi\) |
−0.0355371 | + | 0.999368i | \(0.511314\pi\) | |||||||
\(360\) | 0.239249 | + | 0.172206i | 0.0126095 | + | 0.00907607i | ||||
\(361\) | −8.42202 | + | 14.5874i | −0.443264 | + | 0.767756i | ||||
\(362\) | −0.121316 | − | 0.101797i | −0.00637625 | − | 0.00535031i | ||||
\(363\) | 11.8949 | − | 12.8127i | 0.624322 | − | 0.672491i | ||||
\(364\) | 22.6390 | − | 6.77115i | 1.18661 | − | 0.354905i | ||||
\(365\) | 8.90941 | − | 24.4784i | 0.466340 | − | 1.28126i | ||||
\(366\) | 0.0229072 | + | 0.0743354i | 0.00119738 | + | 0.00388557i | ||||
\(367\) | −0.211500 | − | 0.581091i | −0.0110402 | − | 0.0303327i | 0.934050 | − | 0.357142i | \(-0.116249\pi\) |
−0.945090 | + | 0.326809i | \(0.894027\pi\) | |||||||
\(368\) | 25.7305 | + | 14.8555i | 1.34130 | + | 0.774398i | ||||
\(369\) | 12.6316 | + | 1.27094i | 0.657574 | + | 0.0661627i | ||||
\(370\) | 0.0169060 | + | 0.00976069i | 0.000878902 | + | 0.000507434i | ||||
\(371\) | 11.1895 | + | 0.654681i | 0.580928 | + | 0.0339894i | ||||
\(372\) | −15.7968 | + | 24.4436i | −0.819026 | + | 1.26734i | ||||
\(373\) | −30.2831 | − | 11.0222i | −1.56800 | − | 0.570706i | −0.595450 | − | 0.803392i | \(-0.703026\pi\) |
−0.972552 | + | 0.232686i | \(0.925248\pi\) | |||||||
\(374\) | −0.243136 | − | 0.0884944i | −0.0125723 | − | 0.00457593i | ||||
\(375\) | 12.5453 | + | 16.5715i | 0.647839 | + | 0.855751i | ||||
\(376\) | −0.0969334 | − | 0.0170920i | −0.00499896 | − | 0.000881452i | ||||
\(377\) | 36.9866 | 1.90491 | ||||||||
\(378\) | 0.190314 | + | 0.0767637i | 0.00978870 | + | 0.00394830i | ||||
\(379\) | 8.60323 | 0.441918 | 0.220959 | − | 0.975283i | \(-0.429081\pi\) | ||||
0.220959 | + | 0.975283i | \(0.429081\pi\) | |||||||
\(380\) | 4.75907 | + | 0.839152i | 0.244135 | + | 0.0430476i | ||||
\(381\) | −3.54388 | + | 8.40066i | −0.181558 | + | 0.430379i | ||||
\(382\) | 0.137912 | + | 0.0501960i | 0.00705621 | + | 0.00256825i | ||||
\(383\) | 11.4138 | + | 4.15427i | 0.583216 | + | 0.212273i | 0.616743 | − | 0.787164i | \(-0.288452\pi\) |
−0.0335270 | + | 0.999438i | \(0.510674\pi\) | |||||||
\(384\) | −0.377135 | − | 0.736123i | −0.0192456 | − | 0.0375651i | ||||
\(385\) | −10.9937 | + | 16.7055i | −0.560290 | + | 0.851389i | ||||
\(386\) | 0.252234 | + | 0.145627i | 0.0128384 | + | 0.00741224i | ||||
\(387\) | 0.388618 | + | 5.22400i | 0.0197546 | + | 0.265551i | ||||
\(388\) | 2.75294 | + | 1.58941i | 0.139760 | + | 0.0806902i | ||||
\(389\) | −11.0030 | − | 30.2306i | −0.557876 | − | 1.53275i | −0.822712 | − | 0.568459i | \(-0.807540\pi\) |
0.264836 | − | 0.964294i | \(-0.414682\pi\) | |||||||
\(390\) | −0.129294 | + | 0.139270i | −0.00654708 | + | 0.00705221i | ||||
\(391\) | 9.59110 | − | 26.3513i | 0.485043 | − | 1.33264i | ||||
\(392\) | −0.0487386 | + | 0.415081i | −0.00246167 | + | 0.0209648i | ||||
\(393\) | 7.72099 | + | 25.0551i | 0.389472 | + | 1.26386i | ||||
\(394\) | 0.0494794 | + | 0.0415181i | 0.00249274 | + | 0.00209165i | ||||
\(395\) | 1.31169 | − | 2.27192i | 0.0659984 | − | 0.114313i | ||||
\(396\) | −6.78451 | − | 26.7054i | −0.340934 | − | 1.34200i | ||||
\(397\) | 10.0122 | − | 5.78053i | 0.502496 | − | 0.290116i | −0.227247 | − | 0.973837i | \(-0.572973\pi\) |
0.729744 | + | 0.683721i | \(0.239639\pi\) | |||||||
\(398\) | −0.0193944 | − | 0.0162738i | −0.000972153 | − | 0.000815733i | ||||
\(399\) | 6.71406 | − | 0.443445i | 0.336124 | − | 0.0222000i | ||||
\(400\) | −1.59110 | − | 9.02357i | −0.0795549 | − | 0.451179i | ||||
\(401\) | 0.101869 | − | 0.0179623i | 0.00508710 | − | 0.000896994i | −0.171104 | − | 0.985253i | \(-0.554733\pi\) |
0.176191 | + | 0.984356i | \(0.443622\pi\) | |||||||
\(402\) | −0.0347833 | − | 0.278180i | −0.00173483 | − | 0.0138743i | ||||
\(403\) | −28.7470 | − | 24.1216i | −1.43199 | − | 1.20158i | ||||
\(404\) | −2.31090 | + | 4.00259i | −0.114971 | + | 0.199136i | ||||
\(405\) | 14.6488 | − | 2.19161i | 0.727907 | − | 0.108902i | ||||
\(406\) | −0.129623 | + | 0.300282i | −0.00643310 | + | 0.0149028i | ||||
\(407\) | −1.24824 | − | 3.42952i | −0.0618731 | − | 0.169995i | ||||
\(408\) | −0.311174 | + | 0.235572i | −0.0154054 | + | 0.0116625i | ||||
\(409\) | −1.24227 | + | 3.41310i | −0.0614262 | + | 0.168767i | −0.966609 | − | 0.256255i | \(-0.917511\pi\) |
0.905183 | + | 0.425022i | \(0.139734\pi\) | |||||||
\(410\) | −0.0668239 | − | 0.0796376i | −0.00330020 | − | 0.00393302i | ||||
\(411\) | 3.35860 | − | 5.19701i | 0.165667 | − | 0.256350i | ||||
\(412\) | −0.703029 | + | 0.837837i | −0.0346357 | + | 0.0412773i | ||||
\(413\) | −30.3886 | + | 3.54378i | −1.49533 | + | 0.174378i | ||||
\(414\) | −0.322490 | + | 0.0819286i | −0.0158495 | + | 0.00402657i | ||||
\(415\) | 8.08556 | 0.396905 | ||||||||
\(416\) | 0.751635 | − | 0.273573i | 0.0368520 | − | 0.0134130i | ||||
\(417\) | −7.72741 | − | 7.17391i | −0.378413 | − | 0.351308i | ||||
\(418\) | 0.0647051 | + | 0.0771125i | 0.00316483 | + | 0.00377170i | ||||
\(419\) | −37.3388 | − | 13.5902i | −1.82412 | − | 0.663926i | −0.994392 | − | 0.105761i | \(-0.966272\pi\) |
−0.829730 | − | 0.558165i | \(-0.811506\pi\) | |||||||
\(420\) | 6.08115 | + | 13.8017i | 0.296730 | + | 0.673453i | ||||
\(421\) | −1.45892 | + | 8.27397i | −0.0711036 | + | 0.403249i | 0.928395 | + | 0.371594i | \(0.121189\pi\) |
−0.999499 | + | 0.0316544i | \(0.989922\pi\) | |||||||
\(422\) | − | 0.0899558i | − | 0.00437898i | ||||||
\(423\) | −4.08792 | + | 2.78383i | −0.198761 | + | 0.135354i | ||||
\(424\) | 0.252936 | 0.0122837 | ||||||||
\(425\) | −8.12665 | + | 2.95786i | −0.394201 | + | 0.143477i | ||||
\(426\) | 0.177171 | − | 0.0907690i | 0.00858394 | − | 0.00439777i | ||||
\(427\) | −1.83774 | + | 7.74491i | −0.0889345 | + | 0.374802i | ||||
\(428\) | −4.29404 | − | 5.11744i | −0.207560 | − | 0.247361i | ||||
\(429\) | 35.2534 | − | 4.40805i | 1.70205 | − | 0.212823i | ||||
\(430\) | 0.0275733 | − | 0.0328606i | 0.00132970 | − | 0.00158468i | ||||
\(431\) | 4.45253 | − | 2.57067i | 0.214471 | − | 0.123825i | −0.388917 | − | 0.921273i | \(-0.627151\pi\) |
0.603387 | + | 0.797448i | \(0.293817\pi\) | |||||||
\(432\) | −19.6903 | − | 6.63353i | −0.947350 | − | 0.319156i | ||||
\(433\) | 19.5889i | 0.941384i | 0.882298 | + | 0.470692i | \(0.155996\pi\) | ||||
−0.882298 | + | 0.470692i | \(0.844004\pi\) | |||||||
\(434\) | 0.296582 | − | 0.148851i | 0.0142364 | − | 0.00714508i | ||||
\(435\) | 2.92899 | + | 23.4246i | 0.140434 | + | 1.12312i | ||||
\(436\) | −1.33753 | − | 7.58552i | −0.0640562 | − | 0.363281i | ||||
\(437\) | −8.35753 | + | 7.01280i | −0.399795 | + | 0.335468i | ||||
\(438\) | 0.0205097 | − | 0.408712i | 0.000979993 | − | 0.0195290i | ||||
\(439\) | −11.0039 | − | 30.2330i | −0.525189 | − | 1.44294i | −0.864674 | − | 0.502333i | \(-0.832475\pi\) |
0.339485 | − | 0.940611i | \(-0.389747\pi\) | |||||||
\(440\) | −0.225644 | + | 0.390827i | −0.0107572 | + | 0.0186319i | ||||
\(441\) | 12.8007 | + | 16.6476i | 0.609557 | + | 0.792742i | ||||
\(442\) | −0.125802 | − | 0.217896i | −0.00598380 | − | 0.0103643i | ||||
\(443\) | −14.9004 | + | 17.7576i | −0.707939 | + | 0.843689i | −0.993400 | − | 0.114701i | \(-0.963409\pi\) |
0.285461 | + | 0.958390i | \(0.407853\pi\) | |||||||
\(444\) | −2.68323 | − | 0.613200i | −0.127340 | − | 0.0291012i | ||||
\(445\) | −2.05337 | − | 11.6453i | −0.0973392 | − | 0.552038i | ||||
\(446\) | −0.0104984 | + | 0.00880923i | −0.000497115 | + | 0.000417129i | ||||
\(447\) | −25.6685 | − | 23.8299i | −1.21408 | − | 1.12712i | ||||
\(448\) | 1.23545 | − | 21.1158i | 0.0583697 | − | 0.997626i | ||||
\(449\) | −16.3545 | + | 9.44229i | −0.771817 | + | 0.445609i | −0.833523 | − | 0.552485i | \(-0.813679\pi\) |
0.0617051 | + | 0.998094i | \(0.480346\pi\) | |||||||
\(450\) | 0.0832834 | + | 0.0599457i | 0.00392602 | + | 0.00282587i | ||||
\(451\) | 19.4357i | 0.915193i | ||||||||
\(452\) | −9.05281 | − | 1.59625i | −0.425808 | − | 0.0750815i | ||||
\(453\) | 29.4826 | − | 15.1047i | 1.38521 | − | 0.709680i | ||||
\(454\) | 0.195932 | − | 0.0345481i | 0.00919554 | − | 0.00162142i | ||||
\(455\) | −18.6313 | + | 5.57248i | −0.873450 | + | 0.261242i | ||||
\(456\) | 0.150668 | − | 0.0188394i | 0.00705568 | − | 0.000882236i | ||||
\(457\) | −3.19633 | + | 18.1273i | −0.149518 | + | 0.847960i | 0.814109 | + | 0.580711i | \(0.197226\pi\) |
−0.963628 | + | 0.267248i | \(0.913886\pi\) | |||||||
\(458\) | −0.0919191 | − | 0.159209i | −0.00429510 | − | 0.00743933i | ||||
\(459\) | −2.93871 | + | 19.3894i | −0.137167 | + | 0.905019i | ||||
\(460\) | −21.1779 | − | 12.2271i | −0.987425 | − | 0.570090i | ||||
\(461\) | 15.0689 | − | 5.48464i | 0.701830 | − | 0.255445i | 0.0336380 | − | 0.999434i | \(-0.489291\pi\) |
0.668192 | + | 0.743989i | \(0.267068\pi\) | |||||||
\(462\) | −0.0877616 | + | 0.301659i | −0.00408304 | + | 0.0140345i | ||||
\(463\) | 27.7311 | − | 23.2691i | 1.28877 | − | 1.08141i | 0.296802 | − | 0.954939i | \(-0.404080\pi\) |
0.991971 | − | 0.126469i | \(-0.0403645\pi\) | |||||||
\(464\) | 11.3261 | − | 31.1181i | 0.525799 | − | 1.44462i | ||||
\(465\) | 13.0004 | − | 20.1164i | 0.602877 | − | 0.932877i | ||||
\(466\) | −0.0646339 | + | 0.366557i | −0.00299411 | + | 0.0169804i | ||||
\(467\) | −5.43272 | − | 9.40975i | −0.251396 | − | 0.435431i | 0.712514 | − | 0.701658i | \(-0.247556\pi\) |
−0.963911 | + | 0.266226i | \(0.914223\pi\) | |||||||
\(468\) | 11.6386 | − | 24.1341i | 0.537993 | − | 1.11560i | ||||
\(469\) | 11.3699 | − | 26.3393i | 0.525015 | − | 1.21624i | ||||
\(470\) | 0.0398846 | + | 0.00703274i | 0.00183974 | + | 0.000324396i | ||||
\(471\) | 20.1652 | + | 18.7208i | 0.929163 | + | 0.862609i | ||||
\(472\) | −0.679916 | + | 0.119888i | −0.0312957 | + | 0.00551827i | ||||
\(473\) | −7.89786 | + | 1.39261i | −0.363144 | + | 0.0640321i | ||||
\(474\) | 0.00918158 | − | 0.0401766i | 0.000421724 | − | 0.00184537i | ||||
\(475\) | 3.31348 | + | 0.584256i | 0.152033 | + | 0.0268075i | ||||
\(476\) | −19.8340 | + | 2.31295i | −0.909092 | + | 0.106014i | ||||
\(477\) | 9.10305 | − | 8.86918i | 0.416800 | − | 0.406092i | ||||
\(478\) | −0.0853249 | − | 0.147787i | −0.00390267 | − | 0.00675962i | ||||
\(479\) | 2.14052 | − | 12.1395i | 0.0978027 | − | 0.554667i | −0.896050 | − | 0.443954i | \(-0.853575\pi\) |
0.993852 | − | 0.110713i | \(-0.0353135\pi\) | |||||||
\(480\) | 0.232783 | + | 0.454366i | 0.0106251 | + | 0.0207389i | ||||
\(481\) | 1.21382 | − | 3.33494i | 0.0553453 | − | 0.152060i | ||||
\(482\) | 0.0703504 | − | 0.0590310i | 0.00320437 | − | 0.00268879i | ||||
\(483\) | −32.6941 | − | 9.51168i | −1.48763 | − | 0.432796i | ||||
\(484\) | 18.9680 | − | 6.90379i | 0.862182 | − | 0.313809i | ||||
\(485\) | −2.26560 | − | 1.30805i | −0.102876 | − | 0.0593953i | ||||
\(486\) | 0.209783 | − | 0.100674i | 0.00951596 | − | 0.00456666i | ||||
\(487\) | 9.66499 | + | 16.7403i | 0.437963 | + | 0.758574i | 0.997532 | − | 0.0702097i | \(-0.0223669\pi\) |
−0.559570 | + | 0.828783i | \(0.689034\pi\) | |||||||
\(488\) | −0.0311918 | + | 0.176898i | −0.00141199 | + | 0.00800777i | ||||
\(489\) | −11.7395 | + | 27.8281i | −0.530877 | + | 1.25843i | ||||
\(490\) | 0.0200542 | − | 0.170791i | 0.000905955 | − | 0.00771555i | ||||
\(491\) | −32.7847 | + | 5.78082i | −1.47955 | + | 0.260885i | −0.854399 | − | 0.519617i | \(-0.826074\pi\) |
−0.625153 | + | 0.780502i | \(0.714963\pi\) | |||||||
\(492\) | 12.3107 | + | 7.95584i | 0.555008 | + | 0.358677i | ||||
\(493\) | −30.7807 | − | 5.42746i | −1.38629 | − | 0.244441i | ||||
\(494\) | 0.0978871i | 0.00440415i | ||||||||
\(495\) | 5.58348 | + | 21.9778i | 0.250959 | + | 0.987830i | ||||
\(496\) | −29.0973 | + | 16.7993i | −1.30651 | + | 0.754311i | ||||
\(497\) | 20.3365 | + | 1.18986i | 0.912218 | + | 0.0533727i | ||||
\(498\) | 0.121388 | − | 0.0374070i | 0.00543953 | − | 0.00167625i | ||||
\(499\) | −15.4221 | + | 12.9407i | −0.690389 | + | 0.579305i | −0.919021 | − | 0.394208i | \(-0.871019\pi\) |
0.228633 | + | 0.973513i | \(0.426575\pi\) | |||||||
\(500\) | 4.16710 | + | 23.6328i | 0.186358 | + | 1.05689i | ||||
\(501\) | 4.82671 | + | 15.6630i | 0.215641 | + | 0.699770i | ||||
\(502\) | 0.121241 | − | 0.144490i | 0.00541127 | − | 0.00644890i | ||||
\(503\) | 5.39577 | + | 9.34574i | 0.240585 | + | 0.416706i | 0.960881 | − | 0.276961i | \(-0.0893273\pi\) |
−0.720296 | + | 0.693667i | \(0.755994\pi\) | |||||||
\(504\) | 0.310313 | + | 0.358160i | 0.0138225 | + | 0.0159537i | ||||
\(505\) | 1.90181 | − | 3.29403i | 0.0846294 | − | 0.146582i | ||||
\(506\) | −0.174223 | − | 0.478673i | −0.00774514 | − | 0.0212796i | ||||
\(507\) | 10.1049 | + | 6.53037i | 0.448776 | + | 0.290024i | ||||
\(508\) | −8.06407 | + | 6.76656i | −0.357785 | + | 0.300218i | ||||
\(509\) | −5.96937 | − | 33.8540i | −0.264588 | − | 1.50055i | −0.770207 | − | 0.637794i | \(-0.779847\pi\) |
0.505619 | − | 0.862757i | \(-0.331264\pi\) | |||||||
\(510\) | 0.128037 | − | 0.0969292i | 0.00566957 | − | 0.00429210i | ||||
\(511\) | 23.0212 | − | 34.9819i | 1.01840 | − | 1.54751i | ||||
\(512\) | − | 1.19363i | − | 0.0527514i | ||||||
\(513\) | 4.76187 | − | 5.96118i | 0.210242 | − | 0.263193i | ||||
\(514\) | −0.193442 | + | 0.111684i | −0.00853237 | + | 0.00492616i | ||||
\(515\) | 0.578574 | − | 0.689518i | 0.0254950 | − | 0.0303838i | ||||
\(516\) | −2.35083 | + | 5.57259i | −0.103490 | + | 0.245320i | ||||
\(517\) | −4.86697 | − | 5.80022i | −0.214049 | − | 0.255094i | ||||
\(518\) | 0.0228213 | + | 0.0215422i | 0.00100271 | + | 0.000946511i | ||||
\(519\) | −2.21094 | − | 1.42883i | −0.0970495 | − | 0.0627187i | ||||
\(520\) | −0.412377 | + | 0.150093i | −0.0180839 | + | 0.00658200i | ||||
\(521\) | 32.8374 | 1.43863 | 0.719317 | − | 0.694682i | \(-0.244455\pi\) | ||||
0.719317 | + | 0.694682i | \(0.244455\pi\) | |||||||
\(522\) | 0.152344 | + | 0.338122i | 0.00666793 | + | 0.0147992i | ||||
\(523\) | 2.32319i | 0.101586i | 0.998709 | + | 0.0507929i | \(0.0161749\pi\) | ||||
−0.998709 | + | 0.0507929i | \(0.983825\pi\) | |||||||
\(524\) | −5.25638 | + | 29.8104i | −0.229626 | + | 1.30227i | ||||
\(525\) | 4.23398 | + | 9.60937i | 0.184786 | + | 0.419387i | ||||
\(526\) | −0.223500 | − | 0.0813475i | −0.00974508 | − | 0.00354692i | ||||
\(527\) | 20.3839 | + | 24.2926i | 0.887938 | + | 1.05820i | ||||
\(528\) | 7.08667 | − | 31.0097i | 0.308408 | − | 1.34953i | ||||
\(529\) | 30.2661 | − | 11.0160i | 1.31592 | − | 0.478955i | ||||
\(530\) | −0.104074 | −0.00452069 | ||||||||
\(531\) | −20.2660 | + | 28.1559i | −0.879470 | + | 1.22186i | ||||
\(532\) | 7.13258 | + | 3.07893i | 0.309237 | + | 0.133489i | ||||
\(533\) | −12.1485 | + | 14.4780i | −0.526210 | + | 0.627113i | ||||
\(534\) | −0.0847027 | − | 0.165330i | −0.00366544 | − | 0.00715452i | ||||
\(535\) | 3.53388 | + | 4.21152i | 0.152783 | + | 0.182080i | ||||
\(536\) | 0.221422 | − | 0.608352i | 0.00956397 | − | 0.0262768i | ||||
\(537\) | 13.7140 | + | 5.78533i | 0.591802 | + | 0.249655i | ||||
\(538\) | −0.0504750 | − | 0.138679i | −0.00217613 | − | 0.00597888i | ||||
\(539\) | −23.3964 | + | 22.0500i | −1.00776 | + | 0.949761i | ||||
\(540\) | 16.2064 | + | 5.45983i | 0.697413 | + | 0.234954i | ||||
\(541\) | 9.54866 | − | 16.5388i | 0.410529 | − | 0.711057i | −0.584419 | − | 0.811452i | \(-0.698677\pi\) |
0.994948 | + | 0.100395i | \(0.0320108\pi\) | |||||||
\(542\) | −0.0254685 | − | 0.0213706i | −0.00109396 | − | 0.000917945i | ||||
\(543\) | −16.9312 | − | 7.14253i | −0.726587 | − | 0.306515i | ||||
\(544\) | −0.665664 | + | 0.117374i | −0.0285401 | + | 0.00503239i | ||||
\(545\) | 1.10075 | + | 6.24269i | 0.0471511 | + | 0.267407i | ||||
\(546\) | −0.253931 | + | 0.169855i | −0.0108672 | + | 0.00726914i | ||||
\(547\) | 18.5854 | + | 15.5950i | 0.794655 | + | 0.666795i | 0.946893 | − | 0.321549i | \(-0.104204\pi\) |
−0.152238 | + | 0.988344i | \(0.548648\pi\) | |||||||
\(548\) | 6.18713 | − | 3.57214i | 0.264301 | − | 0.152594i | ||||
\(549\) | 5.08031 | + | 7.46019i | 0.216822 | + | 0.318393i | ||||
\(550\) | −0.0785475 | + | 0.136048i | −0.00334928 | + | 0.00580112i | ||||
\(551\) | 9.31510 | + | 7.81630i | 0.396837 | + | 0.332985i | ||||
\(552\) | −0.749062 | − | 0.171184i | −0.0318822 | − | 0.00728606i | ||||
\(553\) | 2.89496 | − | 3.06685i | 0.123106 | − | 0.130416i | ||||
\(554\) | 0.0441683 | − | 0.121351i | 0.00187653 | − | 0.00515573i | ||||
\(555\) | 2.20823 | + | 0.504648i | 0.0937341 | + | 0.0214211i | ||||
\(556\) | −4.16372 | − | 11.4397i | −0.176581 | − | 0.485153i | ||||
\(557\) | 14.3493 | + | 8.28455i | 0.607998 | + | 0.351028i | 0.772181 | − | 0.635402i | \(-0.219166\pi\) |
−0.164184 | + | 0.986430i | \(0.552499\pi\) | |||||||
\(558\) | 0.102107 | − | 0.362152i | 0.00432254 | − | 0.0153311i | ||||
\(559\) | −6.75372 | − | 3.89926i | −0.285652 | − | 0.164921i | ||||
\(560\) | −1.01697 | + | 17.3816i | −0.0429750 | + | 0.734506i | ||||
\(561\) | −29.9851 | − | 1.50470i | −1.26597 | − | 0.0635283i | ||||
\(562\) | −0.419831 | − | 0.152806i | −0.0177095 | − | 0.00644573i | ||||
\(563\) | 37.2905 | + | 13.5726i | 1.57161 | + | 0.572019i | 0.973358 | − | 0.229290i | \(-0.0736405\pi\) |
0.598251 | + | 0.801309i | \(0.295863\pi\) | |||||||
\(564\) | −5.66614 | + | 0.708489i | −0.238587 | + | 0.0298328i | ||||
\(565\) | 7.45023 | + | 1.31368i | 0.313433 | + | 0.0552668i | ||||
\(566\) | −0.146173 | −0.00614411 | ||||||||
\(567\) | 23.7269 | + | 2.00891i | 0.996435 | + | 0.0843663i | ||||
\(568\) | 0.459704 | 0.0192888 | ||||||||
\(569\) | −6.95833 | − | 1.22694i | −0.291708 | − | 0.0514361i | 0.0258789 | − | 0.999665i | \(-0.491762\pi\) |
−0.317587 | + | 0.948229i | \(0.602873\pi\) | |||||||
\(570\) | −0.0619945 | + | 0.00775174i | −0.00259666 | + | 0.000324685i | ||||
\(571\) | 20.5987 | + | 7.49733i | 0.862030 | + | 0.313753i | 0.734935 | − | 0.678137i | \(-0.237212\pi\) |
0.127095 | + | 0.991891i | \(0.459435\pi\) | |||||||
\(572\) | 38.5458 | + | 14.0295i | 1.61168 | + | 0.586603i | ||||
\(573\) | 17.0082 | + | 0.853497i | 0.710528 | + | 0.0356554i | ||||
\(574\) | −0.0749668 | − | 0.149370i | −0.00312905 | − | 0.00623457i | ||||
\(575\) | −14.7450 | − | 8.51305i | −0.614910 | − | 0.355019i | ||||
\(576\) | −16.7371 | − | 17.1785i | −0.697380 | − | 0.715769i | ||||
\(577\) | 3.83091 | + | 2.21178i | 0.159483 | + | 0.0920775i | 0.577617 | − | 0.816308i | \(-0.303983\pi\) |
−0.418134 | + | 0.908385i | \(0.637316\pi\) | |||||||
\(578\) | −0.0140710 | − | 0.0386599i | −0.000585278 | − | 0.00160804i | ||||
\(579\) | 32.9463 | + | 7.52923i | 1.36920 | + | 0.312904i | ||||
\(580\) | −9.32210 | + | 25.6122i | −0.387079 | + | 1.06349i | ||||
\(581\) | 12.6473 | + | 3.00099i | 0.524698 | + | 0.124502i | ||||
\(582\) | −0.0400649 | − | 0.00915605i | −0.00166074 | − | 0.000379531i | ||||
\(583\) | 14.9051 | + | 12.5068i | 0.617305 | + | 0.517980i | ||||
\(584\) | 0.472507 | − | 0.818406i | 0.0195525 | − | 0.0338659i | ||||
\(585\) | −9.57824 | + | 19.8617i | −0.396012 | + | 0.821180i | ||||
\(586\) | −0.134360 | + | 0.0775728i | −0.00555036 | + | 0.00320450i | ||||
\(587\) | −28.2005 | − | 23.6630i | −1.16396 | − | 0.976677i | −0.164007 | − | 0.986459i | \(-0.552442\pi\) |
−0.999952 | + | 0.00978187i | \(0.996886\pi\) | |||||||
\(588\) | 4.38946 | + | 23.8454i | 0.181018 | + | 0.983366i | ||||
\(589\) | −2.14239 | − | 12.1501i | −0.0882755 | − | 0.500635i | ||||
\(590\) | 0.279761 | − | 0.0493294i | 0.0115176 | − | 0.00203086i | ||||
\(591\) | 6.90545 | + | 2.91311i | 0.284052 | + | 0.119829i | ||||
\(592\) | −2.43410 | − | 2.04245i | −0.100041 | − | 0.0839444i | ||||
\(593\) | −15.9700 | + | 27.6608i | −0.655809 | + | 1.13589i | 0.325882 | + | 0.945411i | \(0.394339\pi\) |
−0.981690 | + | 0.190484i | \(0.938994\pi\) | |||||||
\(594\) | 0.185503 | + | 0.304121i | 0.00761126 | + | 0.0124782i | ||||
\(595\) | 16.3229 | − | 1.90350i | 0.669174 | − | 0.0780359i | ||||
\(596\) | −13.8308 | − | 37.9999i | −0.566533 | − | 1.55654i | ||||
\(597\) | −2.70673 | − | 1.14185i | −0.110779 | − | 0.0467328i | ||||
\(598\) | 0.169418 | − | 0.465472i | 0.00692801 | − | 0.0190346i | ||||
\(599\) | −24.7052 | − | 29.4425i | −1.00943 | − | 1.20299i | −0.979086 | − | 0.203446i | \(-0.934786\pi\) |
−0.0303390 | − | 0.999540i | \(-0.509659\pi\) | |||||||
\(600\) | 0.108048 | + | 0.210897i | 0.00441103 | + | 0.00860982i | ||||
\(601\) | −11.7434 | + | 13.9953i | −0.479025 | + | 0.570880i | −0.950391 | − | 0.311058i | \(-0.899317\pi\) |
0.471366 | + | 0.881938i | \(0.343761\pi\) | |||||||
\(602\) | 0.0553260 | − | 0.0411659i | 0.00225492 | − | 0.00167780i | ||||
\(603\) | −13.3629 | − | 29.6584i | −0.544180 | − | 1.20778i | ||||
\(604\) | 38.2471 | 1.55625 | ||||||||
\(605\) | −15.6102 | + | 5.68164i | −0.634644 | + | 0.230991i | ||||
\(606\) | 0.0133123 | − | 0.0582516i | 0.000540774 | − | 0.00236631i | ||||
\(607\) | 12.5091 | + | 14.9077i | 0.507727 | + | 0.605085i | 0.957633 | − | 0.287990i | \(-0.0929871\pi\) |
−0.449906 | + | 0.893076i | \(0.648543\pi\) | |||||||
\(608\) | 0.247113 | + | 0.0899419i | 0.0100218 | + | 0.00364763i | ||||
\(609\) | −4.11267 | + | 37.7274i | −0.166654 | + | 1.52879i | ||||
\(610\) | 0.0128343 | − | 0.0727870i | 0.000519646 | − | 0.00294706i | ||||
\(611\) | − | 7.36284i | − | 0.297869i | ||||||
\(612\) | −13.2272 | + | 18.3768i | −0.534678 | + | 0.742837i | ||||
\(613\) | 26.4037 | 1.06643 | 0.533217 | − | 0.845979i | \(-0.320983\pi\) | ||||
0.533217 | + | 0.845979i | \(0.320983\pi\) | |||||||
\(614\) | −0.239422 | + | 0.0871426i | −0.00966230 | + | 0.00351679i | ||||
\(615\) | −10.1314 | − | 6.54745i | −0.408536 | − | 0.264019i | ||||
\(616\) | −0.498005 | + | 0.527575i | −0.0200652 | + | 0.0212566i | ||||
\(617\) | 16.7822 | + | 20.0003i | 0.675628 | + | 0.805182i | 0.989538 | − | 0.144271i | \(-0.0460836\pi\) |
−0.313910 | + | 0.949453i | \(0.601639\pi\) | |||||||
\(618\) | 0.00549612 | − | 0.0130284i | 0.000221087 | − | 0.000524080i | ||||
\(619\) | −18.0250 | + | 21.4814i | −0.724486 | + | 0.863409i | −0.995058 | − | 0.0992909i | \(-0.968343\pi\) |
0.270573 | + | 0.962700i | \(0.412787\pi\) | |||||||
\(620\) | 23.9489 | − | 13.8269i | 0.961813 | − | 0.555303i | ||||
\(621\) | −32.9609 | + | 20.1049i | −1.32268 | + | 0.806784i | ||||
\(622\) | 0.496518i | 0.0199085i | ||||||||
\(623\) | 1.11034 | − | 18.9774i | 0.0444849 | − | 0.760313i | ||||
\(624\) | 24.6620 | − | 18.6701i | 0.987268 | − | 0.747403i | ||||
\(625\) | −1.43988 | − | 8.16595i | −0.0575951 | − | 0.326638i | ||||
\(626\) | 0.0111744 | − | 0.00937644i | 0.000446619 | − | 0.000374758i | ||||
\(627\) | 9.81013 | + | 6.33985i | 0.391779 | + | 0.253189i | ||||
\(628\) | 10.8655 | + | 29.8528i | 0.433581 | + | 1.19125i | ||||
\(629\) | −1.49953 | + | 2.59725i | −0.0597900 | + | 0.103559i | ||||
\(630\) | −0.127683 | − | 0.147370i | −0.00508700 | − | 0.00587136i | ||||
\(631\) | −19.6263 | − | 33.9938i | −0.781312 | − | 1.35327i | −0.931178 | − | 0.364565i | \(-0.881218\pi\) |
0.149866 | − | 0.988706i | \(-0.452116\pi\) | |||||||
\(632\) | 0.0611745 | − | 0.0729050i | 0.00243339 | − | 0.00290000i | ||||
\(633\) | −3.07393 | − | 9.97511i | −0.122178 | − | 0.396475i | ||||
\(634\) | −0.00877876 | − | 0.0497868i | −0.000348649 | − | 0.00197729i | ||||
\(635\) | 6.63652 | − | 5.56870i | 0.263362 | − | 0.220987i | ||||
\(636\) | 14.0231 | − | 4.32137i | 0.556054 | − | 0.171354i | ||||
\(637\) | −31.2110 | + | 1.80127i | −1.23663 | + | 0.0713691i | ||||
\(638\) | −0.491692 | + | 0.283879i | −0.0194663 | + | 0.0112389i | ||||
\(639\) | 16.5445 | − | 16.1195i | 0.654491 | − | 0.637676i | ||||
\(640\) | 0.785904i | 0.0310656i | ||||||||
\(641\) | −29.4709 | − | 5.19651i | −1.16403 | − | 0.205250i | −0.441937 | − | 0.897046i | \(-0.645708\pi\) |
−0.722092 | + | 0.691797i | \(0.756819\pi\) | |||||||
\(642\) | 0.0725381 | + | 0.0468781i | 0.00286285 | + | 0.00185013i | ||||
\(643\) | −1.69315 | + | 0.298548i | −0.0667714 | + | 0.0117736i | −0.206934 | − | 0.978355i | \(-0.566349\pi\) |
0.140163 | + | 0.990128i | \(0.455237\pi\) | |||||||
\(644\) | −28.5879 | − | 26.9856i | −1.12652 | − | 1.06338i | ||||
\(645\) | 1.93468 | − | 4.58610i | 0.0761778 | − | 0.180577i | ||||
\(646\) | 0.0143641 | − | 0.0814627i | 0.000565147 | − | 0.00320511i | ||||
\(647\) | −23.2767 | − | 40.3164i | −0.915102 | − | 1.58500i | −0.806752 | − | 0.590890i | \(-0.798777\pi\) |
−0.108350 | − | 0.994113i | \(-0.534557\pi\) | |||||||
\(648\) | 0.537160 | + | 0.0139826i | 0.0211017 | + | 0.000549288i | ||||
\(649\) | −45.9942 | − | 26.5548i | −1.80543 | − | 1.04237i | ||||
\(650\) | −0.143550 | + | 0.0522479i | −0.00563049 | + | 0.00204933i | ||||
\(651\) | 27.8012 | − | 26.6406i | 1.08962 | − | 1.04413i | ||||
\(652\) | −26.7131 | + | 22.4150i | −1.04617 | + | 0.877837i | ||||
\(653\) | −6.57724 | + | 18.0708i | −0.257387 | + | 0.707165i | 0.741939 | + | 0.670467i | \(0.233906\pi\) |
−0.999326 | + | 0.0366983i | \(0.988316\pi\) | |||||||
\(654\) | 0.0454067 | + | 0.0886286i | 0.00177554 | + | 0.00346565i | ||||
\(655\) | 4.32586 | − | 24.5332i | 0.169026 | − | 0.958591i | ||||
\(656\) | 8.46075 | + | 14.6544i | 0.330337 | + | 0.572160i | ||||
\(657\) | −11.6920 | − | 46.0224i | −0.456149 | − | 1.79551i | ||||
\(658\) | 0.0597765 | + | 0.0258038i | 0.00233033 | + | 0.00100594i | ||||
\(659\) | 20.4588 | + | 3.60744i | 0.796962 | + | 0.140526i | 0.557279 | − | 0.830325i | \(-0.311845\pi\) |
0.239683 | + | 0.970851i | \(0.422957\pi\) | |||||||
\(660\) | −5.83280 | + | 25.5231i | −0.227041 | + | 0.993484i | ||||
\(661\) | 13.9006 | − | 2.45105i | 0.540671 | − | 0.0953350i | 0.103358 | − | 0.994644i | \(-0.467041\pi\) |
0.437313 | + | 0.899309i | \(0.355930\pi\) | |||||||
\(662\) | 0.0893478 | − | 0.0157544i | 0.00347260 | − | 0.000612313i | ||||
\(663\) | −21.3959 | − | 19.8634i | −0.830949 | − | 0.771430i | ||||
\(664\) | 0.288870 | + | 0.0509356i | 0.0112103 | + | 0.00197668i | ||||
\(665\) | −5.86993 | − | 2.53388i | −0.227626 | − | 0.0982597i | ||||
\(666\) | 0.0354867 | − | 0.00263989i | 0.00137508 | − | 0.000102294i | ||||
\(667\) | −30.7670 | − | 53.2901i | −1.19130 | − | 2.06340i | ||||
\(668\) | −3.28598 | + | 18.6357i | −0.127138 | + | 0.721038i | ||||
\(669\) | −0.863134 | + | 1.33559i | −0.0333707 | + | 0.0516370i | ||||
\(670\) | −0.0911072 | + | 0.250315i | −0.00351978 | + | 0.00967051i | ||||
\(671\) | −10.5850 | + | 8.88191i | −0.408631 | + | 0.342882i | ||||
\(672\) | 0.195475 | + | 0.797110i | 0.00754062 | + | 0.0307492i | ||||
\(673\) | −6.36430 | + | 2.31642i | −0.245326 | + | 0.0892913i | −0.461757 | − | 0.887007i | \(-0.652781\pi\) |
0.216431 | + | 0.976298i | \(0.430558\pi\) | |||||||
\(674\) | 0.221066 | + | 0.127633i | 0.00851515 | + | 0.00491623i | ||||
\(675\) | 11.2836 | + | 3.80139i | 0.434308 | + | 0.146315i | ||||
\(676\) | 6.94558 | + | 12.0301i | 0.267138 | + | 0.462696i | ||||
\(677\) | −5.48142 | + | 31.0867i | −0.210668 | + | 1.19476i | 0.677599 | + | 0.735431i | \(0.263020\pi\) |
−0.888267 | + | 0.459327i | \(0.848091\pi\) | |||||||
\(678\) | 0.117927 | − | 0.0147456i | 0.00452898 | − | 0.000566299i | ||||
\(679\) | −3.05832 | − | 2.88691i | −0.117368 | − | 0.110789i | ||||
\(680\) | 0.365209 | − | 0.0643962i | 0.0140051 | − | 0.00246948i | ||||
\(681\) | 20.5461 | − | 10.5263i | 0.787329 | − | 0.403369i | ||||
\(682\) | 0.567294 | + | 0.100029i | 0.0217228 | + | 0.00383032i | ||||
\(683\) | − | 24.5110i | − | 0.937886i | −0.883229 | − | 0.468943i | \(-0.844635\pi\) | ||
0.883229 | − | 0.468943i | \(-0.155365\pi\) | |||||||
\(684\) | 8.03138 | − | 3.61862i | 0.307087 | − | 0.138361i | ||||
\(685\) | −5.09185 | + | 2.93978i | −0.194550 | + | 0.112323i | ||||
\(686\) | 0.0947582 | − | 0.259705i | 0.00361789 | − | 0.00991558i | ||||
\(687\) | −15.6332 | − | 14.5134i | −0.596445 | − | 0.553723i | ||||
\(688\) | −5.34872 | + | 4.48811i | −0.203918 | + | 0.171107i | ||||
\(689\) | 3.28552 | + | 18.6331i | 0.125168 | + | 0.709866i | ||||
\(690\) | 0.308212 | + | 0.0704359i | 0.0117334 | + | 0.00268145i | ||||
\(691\) | 17.3675 | − | 20.6978i | 0.660691 | − | 0.787381i | −0.326793 | − | 0.945096i | \(-0.605968\pi\) |
0.987485 | + | 0.157714i | \(0.0504125\pi\) | |||||||
\(692\) | −1.51968 | − | 2.63216i | −0.0577695 | − | 0.100060i | ||||
\(693\) | 0.576392 | + | 36.4496i | 0.0218953 | + | 1.38461i | ||||
\(694\) | 0.157307 | − | 0.272465i | 0.00597131 | − | 0.0103426i | ||||
\(695\) | 3.42663 | + | 9.41460i | 0.129980 | + | 0.357116i | ||||
\(696\) | −0.0429219 | + | 0.855334i | −0.00162695 | + | 0.0324213i | ||||
\(697\) | 12.2347 | − | 10.2661i | 0.463420 | − | 0.388856i | ||||
\(698\) | −0.0168631 | − | 0.0956353i | −0.000638277 | − | 0.00361985i | ||||
\(699\) | 5.35865 | + | 42.8558i | 0.202683 | + | 1.62095i | ||||
\(700\) | −0.708143 | + | 12.1032i | −0.0267653 | + | 0.457458i | ||||
\(701\) | − | 28.6921i | − | 1.08369i | −0.840479 | − | 0.541843i | \(-0.817727\pi\) | ||
0.840479 | − | 0.541843i | \(-0.182273\pi\) | |||||||
\(702\) | −0.0519096 | + | 0.342495i | −0.00195920 | + | 0.0129267i | ||||
\(703\) | 1.01047 | − | 0.583393i | 0.0381104 | − | 0.0220031i | ||||
\(704\) | 23.6018 | − | 28.1275i | 0.889525 | − | 1.06009i | ||||
\(705\) | 4.66308 | − | 0.583068i | 0.175622 | − | 0.0219596i | ||||
\(706\) | −0.183193 | − | 0.218321i | −0.00689457 | − | 0.00821662i | ||||
\(707\) | 4.19737 | − | 4.44659i | 0.157858 | − | 0.167231i | ||||
\(708\) | −35.6472 | + | 18.2630i | −1.33971 | + | 0.686365i | ||||
\(709\) | 35.7630 | − | 13.0167i | 1.34311 | − | 0.488852i | 0.432319 | − | 0.901721i | \(-0.357696\pi\) |
0.910790 | + | 0.412869i | \(0.135473\pi\) | |||||||
\(710\) | −0.189152 | −0.00709874 | ||||||||
\(711\) | −0.354762 | − | 4.76889i | −0.0133046 | − | 0.178847i | ||||
\(712\) | − | 0.428981i | − | 0.0160768i | ||||||
\(713\) | −10.8413 | + | 61.4838i | −0.406008 | + | 2.30259i | ||||
\(714\) | 0.236249 | − | 0.104093i | 0.00884138 | − | 0.00389560i | ||||
\(715\) | −31.7221 | − | 11.5459i | −1.18634 | − | 0.431793i | ||||
\(716\) | 11.0463 | + | 13.1645i | 0.412820 | + | 0.491980i | ||||
\(717\) | −14.5117 | − | 13.4723i | −0.541949 | − | 0.503131i | ||||
\(718\) | 0.281961 | − | 0.102625i | 0.0105227 | − | 0.00382994i | ||||
\(719\) | −12.3232 | −0.459577 | −0.229789 | − | 0.973241i | \(-0.573803\pi\) | ||||
−0.229789 | + | 0.973241i | \(0.573803\pi\) | |||||||
\(720\) | 13.7773 | + | 14.1406i | 0.513449 | + | 0.526988i | ||||
\(721\) | 1.16091 | − | 0.863790i | 0.0432346 | − | 0.0321692i | ||||
\(722\) | 0.161617 | − | 0.192607i | 0.00601475 | − | 0.00716810i | ||||
\(723\) | 5.78390 | − | 8.94986i | 0.215105 | − | 0.332849i | ||||
\(724\) | −13.6377 | − | 16.2528i | −0.506842 | − | 0.604030i | ||||
\(725\) | −6.49047 | + | 17.8324i | −0.241050 | + | 0.662280i | ||||
\(726\) | −0.208069 | + | 0.157517i | −0.00772217 | + | 0.00584600i | ||||
\(727\) | −9.28805 | − | 25.5187i | −0.344475 | − | 0.946437i | −0.984079 | − | 0.177732i | \(-0.943124\pi\) |
0.639604 | − | 0.768705i | \(-0.279098\pi\) | |||||||
\(728\) | −0.700739 | + | 0.0817168i | −0.0259711 | + | 0.00302863i | ||||
\(729\) | 19.8224 | − | 18.3322i | 0.734164 | − | 0.678972i | ||||
\(730\) | −0.194420 | + | 0.336745i | −0.00719579 | + | 0.0124635i | ||||
\(731\) | 5.04834 | + | 4.23606i | 0.186720 | + | 0.156676i | ||||
\(732\) | 1.29295 | + | 10.3403i | 0.0477887 | + | 0.382190i | ||||
\(733\) | −45.2315 | + | 7.97554i | −1.67066 | + | 0.294583i | −0.927304 | − | 0.374308i | \(-0.877880\pi\) |
−0.743360 | + | 0.668891i | \(0.766769\pi\) | |||||||
\(734\) | 0.00160288 | + | 0.00909040i | 5.91635e−5 | + | 0.000335533i | ||||
\(735\) | −3.61241 | − | 19.6241i | −0.133246 | − | 0.723846i | ||||
\(736\) | −1.01940 | − | 0.855382i | −0.0375757 | − | 0.0315298i | ||||
\(737\) | 43.1289 | − | 24.9005i | 1.58867 | − | 0.917221i | ||||
\(738\) | −0.182393 | − | 0.0514248i | −0.00671398 | − | 0.00189297i | ||||
\(739\) | −13.8133 | + | 23.9253i | −0.508129 | + | 0.880106i | 0.491826 | + | 0.870693i | \(0.336330\pi\) |
−0.999956 | + | 0.00941271i | \(0.997004\pi\) | |||||||
\(740\) | 2.00343 | + | 1.68107i | 0.0736474 | + | 0.0617975i | ||||
\(741\) | 3.34496 | + | 10.8546i | 0.122880 | + | 0.398754i | ||||
\(742\) | −0.162791 | − | 0.0386276i | −0.00597624 | − | 0.00141806i | ||||
\(743\) | 3.93643 | − | 10.8153i | 0.144414 | − | 0.396773i | −0.846306 | − | 0.532698i | \(-0.821178\pi\) |
0.990719 | + | 0.135925i | \(0.0434005\pi\) | |||||||
\(744\) | 0.591184 | − | 0.636796i | 0.0216739 | − | 0.0233461i | ||||
\(745\) | 11.3824 | + | 31.2729i | 0.417019 | + | 1.14575i | ||||
\(746\) | 0.416599 | + | 0.240524i | 0.0152528 | + | 0.00880620i | ||||
\(747\) | 12.1823 | − | 8.29605i | 0.445729 | − | 0.303536i | ||||
\(748\) | −30.0195 | − | 17.3318i | −1.09762 | − | 0.633712i | ||||
\(749\) | 3.96451 | + | 7.89919i | 0.144860 | + | 0.288630i | ||||
\(750\) | −0.141465 | − | 0.276124i | −0.00516558 | − | 0.0100826i | ||||
\(751\) | 10.9144 | + | 3.97250i | 0.398270 | + | 0.144959i | 0.533387 | − | 0.845871i | \(-0.320919\pi\) |
−0.135117 | + | 0.990830i | \(0.543141\pi\) | |||||||
\(752\) | −6.19461 | − | 2.25465i | −0.225894 | − | 0.0822188i | ||||
\(753\) | 8.50688 | − | 20.1653i | 0.310008 | − | 0.734865i | ||||
\(754\) | −0.543712 | − | 0.0958710i | −0.0198008 | − | 0.00349142i | ||||
\(755\) | −31.4764 | −1.14554 | ||||||||
\(756\) | 23.3233 | + | 14.5552i | 0.848260 | + | 0.529369i | ||||
\(757\) | 25.0813 | 0.911595 | 0.455798 | − | 0.890083i | \(-0.349354\pi\) | ||||
0.455798 | + | 0.890083i | \(0.349354\pi\) | |||||||
\(758\) | −0.126470 | − | 0.0223000i | −0.00459358 | − | 0.000809972i | ||||
\(759\) | −35.6764 | − | 47.1261i | −1.29497 | − | 1.71057i | ||||
\(760\) | −0.135576 | − | 0.0493457i | −0.00491786 | − | 0.00178996i | ||||
\(761\) | −24.4966 | − | 8.91602i | −0.888000 | − | 0.323205i | −0.142566 | − | 0.989785i | \(-0.545535\pi\) |
−0.745434 | + | 0.666580i | \(0.767758\pi\) | |||||||
\(762\) | 0.0738707 | − | 0.114306i | 0.00267605 | − | 0.00414086i | ||||
\(763\) | −0.595223 | + | 10.1732i | −0.0215485 | + | 0.368296i | ||||
\(764\) | 17.0277 | + | 9.83096i | 0.616041 | + | 0.355672i | ||||
\(765\) | 10.8857 | − | 15.1236i | 0.393572 | − | 0.546795i | ||||
\(766\) | −0.157017 | − | 0.0906538i | −0.00567325 | − | 0.00327545i | ||||
\(767\) | −17.6636 | − | 48.5303i | −0.637795 | − | 1.75233i | ||||
\(768\) | −8.15218 | − | 26.4543i | −0.294166 | − | 0.954589i | ||||
\(769\) | 3.57920 | − | 9.83378i | 0.129069 | − | 0.354615i | −0.858279 | − | 0.513184i | \(-0.828466\pi\) |
0.987348 | + | 0.158569i | \(0.0506880\pi\) | |||||||
\(770\) | 0.204911 | − | 0.217078i | 0.00738448 | − | 0.00782295i | ||||
\(771\) | −17.6342 | + | 18.9947i | −0.635079 | + | 0.684078i | ||||
\(772\) | 29.8907 | + | 25.0813i | 1.07579 | + | 0.902694i | ||||
\(773\) | 14.0939 | − | 24.4113i | 0.506921 | − | 0.878013i | −0.493047 | − | 0.870003i | \(-0.664117\pi\) |
0.999968 | − | 0.00801007i | \(-0.00254971\pi\) | |||||||
\(774\) | 0.00782809 | − | 0.0778014i | 0.000281375 | − | 0.00279651i | ||||
\(775\) | 16.6744 | − | 9.62695i | 0.598961 | − | 0.345810i | ||||
\(776\) | −0.0727022 | − | 0.0610044i | −0.00260986 | − | 0.00218993i | ||||
\(777\) | 3.26677 | + | 1.60895i | 0.117195 | + | 0.0577209i | ||||
\(778\) | 0.0833881 | + | 0.472917i | 0.00298961 | + | 0.0169549i | ||||
\(779\) | −6.11922 | + | 1.07898i | −0.219244 | + | 0.0386586i | ||||
\(780\) | −20.2984 | + | 15.3667i | −0.726800 | + | 0.550217i | ||||
\(781\) | 27.0895 | + | 22.7308i | 0.969339 | + | 0.813372i | ||||
\(782\) | −0.209295 | + | 0.362510i | −0.00748439 | + | 0.0129633i | ||||
\(783\) | 28.4474 | + | 32.2881i | 1.01663 | + | 1.15388i | ||||
\(784\) | −8.04199 | + | 26.8105i | −0.287214 | + | 0.957518i | ||||
\(785\) | −8.94204 | − | 24.5680i | −0.319155 | − | 0.876871i | ||||
\(786\) | −0.0485563 | − | 0.388329i | −0.00173195 | − | 0.0138512i | ||||
\(787\) | −12.0231 | + | 33.0332i | −0.428577 | + | 1.17751i | 0.518100 | + | 0.855320i | \(0.326640\pi\) |
−0.946677 | + | 0.322185i | \(0.895583\pi\) | |||||||
\(788\) | 5.56220 | + | 6.62877i | 0.198145 | + | 0.236140i | ||||
\(789\) | −27.5635 | − | 1.38318i | −0.981286 | − | 0.0492424i | ||||
\(790\) | −0.0251711 | + | 0.0299978i | −0.000895548 | + | 0.00106727i | ||||
\(791\) | 11.1659 | + | 4.82001i | 0.397015 | + | 0.171380i | ||||
\(792\) | 0.0610279 | + | 0.820368i | 0.00216853 | + | 0.0291505i | ||||
\(793\) | −13.4367 | −0.477152 | ||||||||
\(794\) | −0.162165 | + | 0.0590231i | −0.00575501 | + | 0.00209465i | ||||
\(795\) | −11.5407 | + | 3.55638i | −0.409306 | + | 0.126132i | ||||
\(796\) | −2.18021 | − | 2.59827i | −0.0772755 | − | 0.0920934i | ||||
\(797\) | −3.03842 | − | 1.10589i | −0.107626 | − | 0.0391728i | 0.287646 | − | 0.957737i | \(-0.407127\pi\) |
−0.395272 | + | 0.918564i | \(0.629350\pi\) | |||||||
\(798\) | −0.0998477 | − | 0.0108844i | −0.00353457 | − | 0.000385304i | ||||
\(799\) | −1.08043 | + | 6.12744i | −0.0382229 | + | 0.216773i | ||||
\(800\) | 0.410395i | 0.0145096i | ||||||||
\(801\) | −15.0422 | − | 15.4388i | −0.531489 | − | 0.545504i | ||||
\(802\) | −0.00154406 | −5.45226e−5 | ||||||||
\(803\) | 68.3113 | − | 24.8633i | 2.41065 | − | 0.877406i | ||||
\(804\) | 1.88235 | − | 37.5108i | 0.0663853 | − | 1.32290i | ||||
\(805\) | 23.5271 | + | 22.2085i | 0.829222 | + | 0.782745i | ||||
\(806\) | 0.360063 | + | 0.429107i | 0.0126827 | + | 0.0151146i | ||||
\(807\) | −10.3360 | − | 13.6532i | −0.363845 | − | 0.480614i | ||||
\(808\) | 0.0886963 | − | 0.105704i | 0.00312032 | − | 0.00371866i | ||||
\(809\) | −6.10355 | + | 3.52388i | −0.214589 | + | 0.123893i | −0.603442 | − | 0.797407i | \(-0.706205\pi\) |
0.388853 | + | 0.921300i | \(0.372871\pi\) | |||||||
\(810\) | −0.221022 | − | 0.00575333i | −0.00776593 | − | 0.000202152i | ||||
\(811\) | − | 27.1164i | − | 0.952186i | −0.879395 | − | 0.476093i | \(-0.842053\pi\) | ||
0.879395 | − | 0.476093i | \(-0.157947\pi\) | |||||||
\(812\) | −24.0875 | + | 36.6023i | −0.845307 | + | 1.28449i | ||||
\(813\) | −3.55444 | − | 1.49946i | −0.124660 | − | 0.0525885i | ||||
\(814\) | 0.00945999 | + | 0.0536502i | 0.000331572 | + | 0.00188044i | ||||
\(815\) | 21.9842 | − | 18.4469i | 0.770072 | − | 0.646167i | ||||
\(816\) | −23.2636 | + | 11.9186i | −0.814390 | + | 0.417233i | ||||
\(817\) | −0.876907 | − | 2.40928i | −0.0306791 | − | 0.0842901i | ||||
\(818\) | 0.0271086 | − | 0.0469534i | 0.000947829 | − | 0.00164169i | ||||
\(819\) | −22.3539 | + | 27.5123i | −0.781107 | + | 0.961357i | ||||
\(820\) | −6.96375 | − | 12.0616i | −0.243185 | − | 0.421208i | ||||
\(821\) | −24.7699 | + | 29.5196i | −0.864475 | + | 1.03024i | 0.134750 | + | 0.990880i | \(0.456977\pi\) |
−0.999225 | + | 0.0393621i | \(0.987467\pi\) | |||||||
\(822\) | −0.0628431 | + | 0.0676917i | −0.00219190 | + | 0.00236102i | ||||
\(823\) | 5.54143 | + | 31.4270i | 0.193162 | + | 1.09548i | 0.915012 | + | 0.403427i | \(0.132181\pi\) |
−0.721850 | + | 0.692050i | \(0.756708\pi\) | |||||||
\(824\) | 0.0250142 | − | 0.0209894i | 0.000871411 | − | 0.000731200i | ||||
\(825\) | −4.06106 | + | 17.7703i | −0.141388 | + | 0.618683i | ||||
\(826\) | 0.455906 | + | 0.0266744i | 0.0158630 | + | 0.000928123i | ||||
\(827\) | 19.5503 | − | 11.2874i | 0.679831 | − | 0.392501i | −0.119960 | − | 0.992779i | \(-0.538277\pi\) |
0.799791 | + | 0.600278i | \(0.204943\pi\) | |||||||
\(828\) | −44.4537 | + | 3.30695i | −1.54487 | + | 0.114924i | ||||
\(829\) | 33.2803i | 1.15587i | 0.816082 | + | 0.577936i | \(0.196142\pi\) | ||||
−0.816082 | + | 0.577936i | \(0.803858\pi\) | |||||||
\(830\) | −0.118860 | − | 0.0209582i | −0.00412568 | − | 0.000727469i | ||||
\(831\) | 0.751007 | − | 14.9658i | 0.0260522 | − | 0.519159i | ||||
\(832\) | 35.1628 | − | 6.20014i | 1.21905 | − | 0.214951i | ||||
\(833\) | 26.2385 | + | 3.08090i | 0.909109 | + | 0.106747i | ||||
\(834\) | 0.0949996 | + | 0.125488i | 0.00328957 | + | 0.00434529i | ||||
\(835\) | 2.70428 | − | 15.3367i | 0.0935854 | − | 0.530749i | ||||
\(836\) | 6.74295 | + | 11.6791i | 0.233210 | + | 0.403931i | ||||
\(837\) | −1.05276 | − | 43.6478i | −0.0363886 | − | 1.50869i | ||||
\(838\) | 0.513663 | + | 0.296564i | 0.0177442 | + | 0.0102446i | ||||
\(839\) | 28.7046 | − | 10.4476i | 0.990993 | − | 0.360692i | 0.204888 | − | 0.978785i | \(-0.434317\pi\) |
0.786105 | + | 0.618093i | \(0.212095\pi\) | |||||||
\(840\) | −0.107245 | − | 0.437325i | −0.00370032 | − | 0.0150892i | ||||
\(841\) | −30.3234 | + | 25.4443i | −1.04563 | + | 0.877391i | ||||
\(842\) | 0.0428930 | − | 0.117848i | 0.00147819 | − | 0.00406130i | ||||
\(843\) | −51.7762 | − | 2.59821i | −1.78327 | − | 0.0894870i | ||||
\(844\) | 2.09271 | − | 11.8683i | 0.0720339 | − | 0.408525i | ||||
\(845\) | −5.71603 | − | 9.90046i | −0.196638 | − | 0.340586i | ||||
\(846\) | 0.0673091 | − | 0.0303268i | 0.00231414 | − | 0.00104266i | ||||
\(847\) | −26.5259 | + | 3.09332i | −0.911441 | + | 0.106288i | ||||
\(848\) | 16.6828 | + | 2.94163i | 0.572890 | + | 0.101016i | ||||
\(849\) | −16.2090 | + | 4.99496i | −0.556290 | + | 0.171427i | ||||
\(850\) | 0.127131 | − | 0.0224166i | 0.00436054 | − | 0.000768882i | ||||
\(851\) | −5.81466 | + | 1.02528i | −0.199324 | + | 0.0351462i | ||||
\(852\) | 25.4866 | − | 7.85397i | 0.873158 | − | 0.269073i | ||||
\(853\) | −39.5220 | − | 6.96880i | −1.35321 | − | 0.238607i | −0.550429 | − | 0.834882i | \(-0.685536\pi\) |
−0.802780 | + | 0.596275i | \(0.796647\pi\) | |||||||
\(854\) | 0.0470904 | − | 0.109088i | 0.00161140 | − | 0.00373293i | ||||
\(855\) | −6.60962 | + | 2.97803i | −0.226044 | + | 0.101847i | ||||
\(856\) | 0.0997230 | + | 0.172725i | 0.00340846 | + | 0.00590363i | ||||
\(857\) | 5.17547 | − | 29.3515i | 0.176791 | − | 1.00263i | −0.759266 | − | 0.650780i | \(-0.774442\pi\) |
0.936057 | − | 0.351849i | \(-0.114447\pi\) | |||||||
\(858\) | −0.529659 | − | 0.0265791i | −0.0180823 | − | 0.000907394i | ||||
\(859\) | −16.7620 | + | 46.0532i | −0.571912 | + | 1.57132i | 0.229567 | + | 0.973293i | \(0.426269\pi\) |
−0.801479 | + | 0.598023i | \(0.795953\pi\) | |||||||
\(860\) | 4.40234 | − | 3.69401i | 0.150119 | − | 0.125965i | ||||
\(861\) | −13.4172 | − | 14.0017i | −0.457256 | − | 0.477177i | ||||
\(862\) | −0.0721165 | + | 0.0262483i | −0.00245630 | + | 0.000894019i | ||||
\(863\) | −16.1553 | − | 9.32725i | −0.549932 | − | 0.317503i | 0.199163 | − | 0.979966i | \(-0.436178\pi\) |
−0.749095 | + | 0.662463i | \(0.769511\pi\) | |||||||
\(864\) | 0.816924 | + | 0.445741i | 0.0277923 | + | 0.0151644i | ||||
\(865\) | 1.25066 | + | 2.16620i | 0.0425236 | + | 0.0736530i | ||||
\(866\) | 0.0507755 | − | 0.287962i | 0.00172542 | − | 0.00978535i | ||||
\(867\) | −2.88139 | − | 3.80612i | −0.0978572 | − | 0.129263i | ||||
\(868\) | 42.5924 | − | 12.7391i | 1.44568 | − | 0.432392i | ||||
\(869\) | 7.20980 | − | 1.27128i | 0.244576 | − | 0.0431253i | ||||
\(870\) | 0.0176608 | − | 0.351939i | 0.000598758 | − | 0.0119319i | ||||
\(871\) | 47.6918 | + | 8.40935i | 1.61598 | + | 0.284940i | ||||
\(872\) | 0.229965i | 0.00778758i | ||||||||
\(873\) | −4.75563 | + | 0.353776i | −0.160954 | + | 0.0119735i | ||||
\(874\) | 0.141035 | − | 0.0814267i | 0.00477059 | − | 0.00275430i | ||||
\(875\) | 1.85443 | − | 31.6949i | 0.0626910 | − | 1.07148i | ||||
\(876\) | 12.2141 | − | 53.4462i | 0.412676 | − | 1.80578i | ||||
\(877\) | −0.469167 | + | 0.393678i | −0.0158427 | + | 0.0132936i | −0.650675 | − | 0.759357i | \(-0.725514\pi\) |
0.634832 | + | 0.772650i | \(0.281069\pi\) | |||||||
\(878\) | 0.0833948 | + | 0.472956i | 0.00281444 | + | 0.0159615i | ||||
\(879\) | −12.2482 | + | 13.1932i | −0.413123 | + | 0.444997i | ||||
\(880\) | −19.4280 | + | 23.1533i | −0.654917 | + | 0.780499i | ||||
\(881\) | 24.2819 | + | 42.0575i | 0.818079 | + | 1.41695i | 0.907096 | + | 0.420924i | \(0.138294\pi\) |
−0.0890174 | + | 0.996030i | \(0.528373\pi\) | |||||||
\(882\) | −0.145022 | − | 0.277903i | −0.00488314 | − | 0.00935750i | ||||
\(883\) | −10.4471 | + | 18.0949i | −0.351573 | + | 0.608943i | −0.986525 | − | 0.163609i | \(-0.947686\pi\) |
0.634952 | + | 0.772551i | \(0.281020\pi\) | |||||||
\(884\) | −11.5287 | − | 31.6747i | −0.387751 | − | 1.06534i | ||||
\(885\) | 29.3367 | − | 15.0300i | 0.986144 | − | 0.505227i | ||||
\(886\) | 0.265068 | − | 0.222418i | 0.00890513 | − | 0.00747229i | ||||
\(887\) | 1.97175 | + | 11.1824i | 0.0662050 | + | 0.375467i | 0.999851 | + | 0.0172696i | \(0.00549737\pi\) |
−0.933646 | + | 0.358197i | \(0.883392\pi\) | |||||||
\(888\) | 0.0757135 | + | 0.0319403i | 0.00254078 | + | 0.00107185i | ||||
\(889\) | 12.4476 | − | 6.24728i | 0.417478 | − | 0.209527i | ||||
\(890\) | 0.176510i | 0.00591664i | ||||||||
\(891\) | 30.9625 | + | 27.3847i | 1.03728 | + | 0.917422i | ||||
\(892\) | −1.59005 | + | 0.918014i | −0.0532387 | + | 0.0307374i | ||||
\(893\) | 1.55597 | − | 1.85434i | 0.0520686 | − | 0.0620530i | ||||
\(894\) | 0.315564 | + | 0.416839i | 0.0105541 | + | 0.0139412i | ||||
\(895\) | −9.09083 | − | 10.8340i | −0.303873 | − | 0.362142i | ||||
\(896\) | −0.291692 | + | 1.22930i | −0.00974474 | + | 0.0410679i | ||||
\(897\) | 2.88066 | − | 57.4049i | 0.0961826 | − | 1.91670i | ||||
\(898\) | 0.264890 | − | 0.0964121i | 0.00883950 | − | 0.00321731i | ||||
\(899\) | 69.5856 | 2.32081 | ||||||||
\(900\) | 9.59345 | + | 9.84642i | 0.319782 | + | 0.328214i | ||||
\(901\) | − | 15.9888i | − | 0.532665i | ||||||
\(902\) | 0.0503784 | − | 0.285710i | 0.00167742 | − | 0.00951310i | ||||
\(903\) | 4.72833 | − | 6.45542i | 0.157349 | − | 0.214823i | ||||
\(904\) | 0.257896 | + | 0.0938665i | 0.00857750 | + | 0.00312195i | ||||
\(905\) | 11.2235 | + | 13.3756i | 0.373081 | + | 0.444621i | ||||
\(906\) | −0.472553 | + | 0.145622i | −0.0156995 | + | 0.00483797i | ||||
\(907\) | −38.3161 | + | 13.9459i | −1.27227 | + | 0.463067i | −0.887867 | − | 0.460101i | \(-0.847813\pi\) |
−0.384399 | + | 0.923167i | \(0.625591\pi\) | |||||||
\(908\) | 26.6540 | 0.884545 | ||||||||
\(909\) | −0.514365 | − | 6.91436i | −0.0170604 | − | 0.229335i | ||||
\(910\) | 0.288329 | − | 0.0336235i | 0.00955801 | − | 0.00111461i | ||||
\(911\) | −22.9670 | + | 27.3710i | −0.760931 | + | 0.906843i | −0.997907 | − | 0.0646730i | \(-0.979400\pi\) |
0.236975 | + | 0.971516i | \(0.423844\pi\) | |||||||
\(912\) | 10.1566 | + | 0.509675i | 0.336320 | + | 0.0168770i | ||||
\(913\) | 14.5040 | + | 17.2852i | 0.480012 | + | 0.572056i | ||||
\(914\) | 0.0939737 | − | 0.258191i | 0.00310837 | − | 0.00854019i | ||||
\(915\) | −1.06406 | − | 8.50984i | −0.0351768 | − | 0.281326i | ||||
\(916\) | −8.42357 | − | 23.1436i | −0.278323 | − | 0.764685i | ||||
\(917\) | 15.8720 | − | 36.7688i | 0.524141 | − | 1.21421i | ||||
\(918\) | 0.0934580 | − | 0.277411i | 0.00308457 | − | 0.00915593i | ||||
\(919\) | −13.2691 | + | 22.9827i | −0.437706 | + | 0.758129i | −0.997512 | − | 0.0704945i | \(-0.977542\pi\) |
0.559806 | + | 0.828624i | \(0.310876\pi\) | |||||||
\(920\) | 0.559285 | + | 0.469296i | 0.0184391 | + | 0.0154722i | ||||
\(921\) | −23.5715 | + | 17.8446i | −0.776707 | + | 0.587999i | ||||
\(922\) | −0.235733 | + | 0.0415661i | −0.00776346 | + | 0.00136891i | ||||
\(923\) | 5.97134 | + | 33.8652i | 0.196549 | + | 1.11469i | ||||
\(924\) | −18.5965 | + | 37.7578i | −0.611782 | + | 1.24214i | ||||
\(925\) | 1.39488 | + | 1.17044i | 0.0458633 | + | 0.0384839i | ||||
\(926\) | −0.467968 | + | 0.270181i | −0.0153784 | + | 0.00887871i | ||||
\(927\) | 0.164258 | − | 1.63252i | 0.00539494 | − | 0.0536189i | ||||
\(928\) | −0.741604 | + | 1.28450i | −0.0243443 | + | 0.0421656i | ||||
\(929\) | −9.44219 | − | 7.92293i | −0.309788 | − | 0.259943i | 0.474616 | − | 0.880193i | \(-0.342587\pi\) |
−0.784404 | + | 0.620250i | \(0.787031\pi\) | |||||||
\(930\) | −0.243251 | + | 0.262019i | −0.00797651 | + | 0.00859193i | ||||
\(931\) | −8.24117 | − | 6.14210i | −0.270094 | − | 0.201299i | ||||
\(932\) | −17.0550 | + | 46.8581i | −0.558654 | + | 1.53489i | ||||
\(933\) | 16.9668 | + | 55.0583i | 0.555468 | + | 1.80253i | ||||
\(934\) | 0.0554718 | + | 0.152407i | 0.00181509 | + | 0.00498692i | ||||
\(935\) | 24.7053 | + | 14.2636i | 0.807948 | + | 0.466469i | ||||
\(936\) | −0.467319 | + | 0.649253i | −0.0152748 | + | 0.0212215i | ||||
\(937\) | 32.0189 | + | 18.4861i | 1.04601 | + | 0.603915i | 0.921530 | − | 0.388307i | \(-0.126940\pi\) |
0.124481 | + | 0.992222i | \(0.460273\pi\) | |||||||
\(938\) | −0.235414 | + | 0.357723i | −0.00768653 | + | 0.0116801i | ||||
\(939\) | 0.918710 | − | 1.42159i | 0.0299810 | − | 0.0463918i | ||||
\(940\) | 5.09857 | + | 1.85573i | 0.166297 | + | 0.0605272i | ||||
\(941\) | 40.5370 | + | 14.7543i | 1.32147 | + | 0.480975i | 0.903928 | − | 0.427684i | \(-0.140670\pi\) |
0.417539 | + | 0.908659i | \(0.362893\pi\) | |||||||
\(942\) | −0.247908 | − | 0.327469i | −0.00807727 | − | 0.0106695i | ||||
\(943\) | 30.9655 | + | 5.46006i | 1.00838 | + | 0.177804i | ||||
\(944\) | −46.2392 | −1.50496 | ||||||||
\(945\) | −19.1945 | − | 11.9786i | −0.624396 | − | 0.389663i | ||||
\(946\) | 0.119710 | 0.00389211 | ||||||||
\(947\) | −32.3861 | − | 5.71054i | −1.05241 | − | 0.185567i | −0.379421 | − | 0.925224i | \(-0.623877\pi\) |
−0.672984 | + | 0.739657i | \(0.734988\pi\) | |||||||
\(948\) | 2.14603 | − | 5.08711i | 0.0696998 | − | 0.165222i | ||||
\(949\) | 66.4274 | + | 24.1776i | 2.15632 | + | 0.784838i | ||||
\(950\) | −0.0471945 | − | 0.0171774i | −0.00153119 | − | 0.000557309i | ||||
\(951\) | −2.67476 | − | 5.22082i | −0.0867350 | − | 0.169297i | ||||
\(952\) | 0.595154 | + | 0.0348217i | 0.0192891 | + | 0.00112858i | ||||
\(953\) | 39.0374 | + | 22.5383i | 1.26455 | + | 0.730086i | 0.973951 | − | 0.226760i | \(-0.0728134\pi\) |
0.290595 | + | 0.956846i | \(0.406147\pi\) | |||||||
\(954\) | −0.156806 | + | 0.106783i | −0.00507679 | + | 0.00345724i | ||||
\(955\) | −14.0134 | − | 8.09062i | −0.453462 | − | 0.261806i | ||||
\(956\) | −7.81927 | − | 21.4833i | −0.252893 | − | 0.694819i | ||||
\(957\) | −44.8226 | + | 48.2809i | −1.44891 | + | 1.56070i | ||||
\(958\) | −0.0629322 | + | 0.172905i | −0.00203325 | + | 0.00558630i | ||||
\(959\) | −9.05568 | + | 2.70848i | −0.292423 | + | 0.0874615i | ||||
\(960\) | 6.71127 | + | 21.7785i | 0.216605 | + | 0.702899i | ||||
\(961\) | −30.3364 | − | 25.4553i | −0.978594 | − | 0.821138i | ||||
\(962\) | −0.0264877 | + | 0.0458781i | −0.000853999 | + | 0.00147917i | ||||
\(963\) | 9.64557 | + | 2.71953i | 0.310824 | + | 0.0876355i | ||||
\(964\) | 10.6550 | − | 6.15165i | 0.343173 | − | 0.198131i | ||||
\(965\) | −24.5992 | − | 20.6412i | −0.791878 | − | 0.664464i | ||||
\(966\) | 0.455957 | + | 0.224569i | 0.0146702 | + | 0.00722538i | ||||
\(967\) | 0.795684 | + | 4.51255i | 0.0255875 | + | 0.145114i | 0.994925 | − | 0.100619i | \(-0.0320824\pi\) |
−0.969338 | + | 0.245733i | \(0.920971\pi\) | |||||||
\(968\) | −0.593491 | + | 0.104648i | −0.0190755 | + | 0.00336353i | ||||
\(969\) | −1.19089 | − | 9.52416i | −0.0382570 | − | 0.305960i | ||||
\(970\) | 0.0299144 | + | 0.0251011i | 0.000960492 | + | 0.000805948i | ||||
\(971\) | 8.12033 | − | 14.0648i | 0.260594 | − | 0.451362i | −0.705806 | − | 0.708405i | \(-0.749415\pi\) |
0.966400 | + | 0.257043i | \(0.0827483\pi\) | |||||||
\(972\) | 30.0198 | − | 8.40208i | 0.962886 | − | 0.269497i | ||||
\(973\) | 1.86560 | + | 15.9979i | 0.0598085 | + | 0.512871i | ||||
\(974\) | −0.0986861 | − | 0.271138i | −0.00316211 | − | 0.00868782i | ||||
\(975\) | −14.1327 | + | 10.6990i | −0.452608 | + | 0.342643i | ||||
\(976\) | −4.11461 | + | 11.3048i | −0.131705 | + | 0.361857i | ||||
\(977\) | 5.54097 | + | 6.60347i | 0.177271 | + | 0.211264i | 0.847362 | − | 0.531015i | \(-0.178189\pi\) |
−0.670091 | + | 0.742279i | \(0.733745\pi\) | |||||||
\(978\) | 0.244705 | − | 0.378650i | 0.00782479 | − | 0.0121079i | ||||
\(979\) | 21.2117 | − | 25.2791i | 0.677927 | − | 0.807922i | ||||
\(980\) | 6.61908 | − | 22.0668i | 0.211439 | − | 0.704898i | ||||
\(981\) | 8.06368 | + | 8.27631i | 0.257453 | + | 0.264242i | ||||
\(982\) | 0.496927 | 0.0158576 | ||||||||
\(983\) | −21.4542 | + | 7.80867i | −0.684281 | + | 0.249058i | −0.660685 | − | 0.750664i | \(-0.729734\pi\) |
−0.0235966 | + | 0.999722i | \(0.507512\pi\) | |||||||
\(984\) | −0.320714 | − | 0.297742i | −0.0102240 | − | 0.00949166i | ||||
\(985\) | −4.57755 | − | 5.45531i | −0.145853 | − | 0.173820i | ||||
\(986\) | 0.438415 | + | 0.159570i | 0.0139620 | + | 0.00508174i | ||||
\(987\) | 7.51031 | + | 0.818701i | 0.239056 | + | 0.0260595i | ||||
\(988\) | −2.27722 | + | 12.9147i | −0.0724480 | + | 0.410873i | ||||
\(989\) | 12.9743i | 0.412559i | ||||||||
\(990\) | −0.0251108 | − | 0.337552i | −0.000798073 | − | 0.0107281i | ||||
\(991\) | −14.9160 | −0.473821 | −0.236910 | − | 0.971531i | \(-0.576135\pi\) | ||||
−0.236910 | + | 0.971531i | \(0.576135\pi\) | |||||||
\(992\) | 1.41411 | − | 0.514692i | 0.0448979 | − | 0.0163415i | ||||
\(993\) | 9.36933 | − | 4.80015i | 0.297327 | − | 0.152328i | ||||
\(994\) | −0.295868 | − | 0.0702045i | −0.00938435 | − | 0.00222675i | ||||
\(995\) | 1.79426 | + | 2.13831i | 0.0568818 | + | 0.0677891i | ||||
\(996\) | 16.8856 | − | 2.11136i | 0.535040 | − | 0.0669009i | ||||
\(997\) | −1.49123 | + | 1.77718i | −0.0472279 | + | 0.0562840i | −0.789141 | − | 0.614212i | \(-0.789474\pi\) |
0.741913 | + | 0.670496i | \(0.233919\pi\) | |||||||
\(998\) | 0.260252 | − | 0.150256i | 0.00823812 | − | 0.00475628i | ||||
\(999\) | 3.84487 | − | 1.50537i | 0.121646 | − | 0.0476278i |
(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 | 189.2.bd.a.47.11 | yes | 132 | |
3.2 | odd | 2 | 567.2.bd.a.467.12 | 132 | |||
7.3 | odd | 6 | 189.2.ba.a.101.12 | ✓ | 132 | ||
21.17 | even | 6 | 567.2.ba.a.143.11 | 132 | |||
27.4 | even | 9 | 567.2.ba.a.341.11 | 132 | |||
27.23 | odd | 18 | 189.2.ba.a.131.12 | yes | 132 | ||
189.31 | odd | 18 | 567.2.bd.a.17.12 | 132 | |||
189.185 | even | 18 | inner | 189.2.bd.a.185.11 | yes | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.ba.a.101.12 | ✓ | 132 | 7.3 | odd | 6 | ||
189.2.ba.a.131.12 | yes | 132 | 27.23 | odd | 18 | ||
189.2.bd.a.47.11 | yes | 132 | 1.1 | even | 1 | trivial | |
189.2.bd.a.185.11 | yes | 132 | 189.185 | even | 18 | inner | |
567.2.ba.a.143.11 | 132 | 21.17 | even | 6 | |||
567.2.ba.a.341.11 | 132 | 27.4 | even | 9 | |||
567.2.bd.a.17.12 | 132 | 189.31 | odd | 18 | |||
567.2.bd.a.467.12 | 132 | 3.2 | odd | 2 |