Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [882,2,Mod(5,882)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(882, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([35, 29]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("882.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 882 = 2 \cdot 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 882.bk (of order \(42\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.04280545828\) |
Analytic rank: | \(0\) |
Dimension: | \(672\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 131.28 | ||
Character | \(\chi\) | \(=\) | 882.131 |
Dual form | 882.2.bk.a.101.28 |
$q$-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 \(\left(\mathbb{Z}/882\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(785\) |
\(\chi(n)\) | \(e\left(\frac{41}{42}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.781831 | − | 0.623490i | −0.552838 | − | 0.440874i | ||||
\(3\) | 1.72464 | + | 0.160074i | 0.995720 | + | 0.0924191i | ||||
\(4\) | 0.222521 | + | 0.974928i | 0.111260 | + | 0.487464i | ||||
\(5\) | −0.0479911 | − | 0.640396i | −0.0214623 | − | 0.286394i | −0.997600 | − | 0.0692414i | \(-0.977942\pi\) |
0.976138 | − | 0.217153i | \(-0.0696769\pi\) | |||||||
\(6\) | −1.24857 | − | 1.20045i | −0.509727 | − | 0.490080i | ||||
\(7\) | −2.29764 | + | 1.31182i | −0.868425 | + | 0.495820i | ||||
\(8\) | 0.433884 | − | 0.900969i | 0.153401 | − | 0.318541i | ||||
\(9\) | 2.94875 | + | 0.552141i | 0.982917 | + | 0.184047i | ||||
\(10\) | −0.361760 | + | 0.530604i | −0.114398 | + | 0.167792i | ||||
\(11\) | 3.76410 | − | 1.47730i | 1.13492 | − | 0.445422i | 0.277849 | − | 0.960625i | \(-0.410378\pi\) |
0.857069 | + | 0.515202i | \(0.172283\pi\) | |||||||
\(12\) | 0.227707 | + | 1.71702i | 0.0657333 | + | 0.495660i | ||||
\(13\) | −1.65735 | + | 0.650464i | −0.459668 | + | 0.180406i | −0.583864 | − | 0.811851i | \(-0.698460\pi\) |
0.124197 | + | 0.992258i | \(0.460365\pi\) | |||||||
\(14\) | 2.61427 | + | 0.406935i | 0.698693 | + | 0.108758i | ||||
\(15\) | 0.0197439 | − | 1.11213i | 0.00509785 | − | 0.287152i | ||||
\(16\) | −0.900969 | + | 0.433884i | −0.225242 | + | 0.108471i | ||||
\(17\) | 1.64184 | − | 0.506439i | 0.398204 | − | 0.122830i | −0.0891842 | − | 0.996015i | \(-0.528426\pi\) |
0.487388 | + | 0.873186i | \(0.337950\pi\) | |||||||
\(18\) | −1.96117 | − | 2.27020i | −0.462253 | − | 0.535091i | ||||
\(19\) | 2.05918 | + | 1.18887i | 0.472408 | + | 0.272745i | 0.717247 | − | 0.696819i | \(-0.245402\pi\) |
−0.244839 | + | 0.969564i | \(0.578735\pi\) | |||||||
\(20\) | 0.613661 | − | 0.189289i | 0.137219 | − | 0.0423264i | ||||
\(21\) | −4.17258 | + | 1.89461i | −0.910532 | + | 0.413439i | ||||
\(22\) | −3.86397 | − | 1.19188i | −0.823801 | − | 0.254109i | ||||
\(23\) | 1.43249 | + | 1.54386i | 0.298695 | + | 0.321916i | 0.864510 | − | 0.502616i | \(-0.167629\pi\) |
−0.565815 | + | 0.824532i | \(0.691438\pi\) | |||||||
\(24\) | 0.892515 | − | 1.48439i | 0.182184 | − | 0.303000i | ||||
\(25\) | 4.53635 | − | 0.683745i | 0.907270 | − | 0.136749i | ||||
\(26\) | 1.70133 | + | 0.524791i | 0.333658 | + | 0.102920i | ||||
\(27\) | 4.99715 | + | 1.42426i | 0.961701 | + | 0.274100i | ||||
\(28\) | −1.79020 | − | 1.94812i | −0.338316 | − | 0.368161i | ||||
\(29\) | 2.17850 | + | 7.06253i | 0.404538 | + | 1.31148i | 0.897341 | + | 0.441339i | \(0.145496\pi\) |
−0.492803 | + | 0.870141i | \(0.664028\pi\) | |||||||
\(30\) | −0.708841 | + | 0.857191i | −0.129416 | + | 0.156501i | ||||
\(31\) | − | 9.69115i | − | 1.74058i | −0.492538 | − | 0.870291i | \(-0.663931\pi\) | ||
0.492538 | − | 0.870291i | \(-0.336069\pi\) | |||||||
\(32\) | 0.974928 | + | 0.222521i | 0.172345 | + | 0.0393365i | ||||
\(33\) | 6.72818 | − | 1.94527i | 1.17123 | − | 0.338628i | ||||
\(34\) | −1.59940 | − | 0.627718i | −0.274295 | − | 0.107653i | ||||
\(35\) | 0.950348 | + | 1.40844i | 0.160638 | + | 0.238070i | ||||
\(36\) | 0.117861 | + | 2.99768i | 0.0196436 | + | 0.499614i | ||||
\(37\) | −4.09279 | − | 3.79755i | −0.672850 | − | 0.624314i | 0.267887 | − | 0.963450i | \(-0.413675\pi\) |
−0.940737 | + | 0.339137i | \(0.889865\pi\) | |||||||
\(38\) | −0.868684 | − | 2.21337i | −0.140919 | − | 0.359056i | ||||
\(39\) | −2.96246 | + | 0.856514i | −0.474373 | + | 0.137152i | ||||
\(40\) | −0.597800 | − | 0.234619i | −0.0945204 | − | 0.0370965i | ||||
\(41\) | 3.80491 | − | 2.59414i | 0.594227 | − | 0.405137i | −0.228525 | − | 0.973538i | \(-0.573390\pi\) |
0.822752 | + | 0.568401i | \(0.192438\pi\) | |||||||
\(42\) | 4.44353 | + | 1.12029i | 0.685651 | + | 0.172865i | ||||
\(43\) | 10.2911 | + | 7.01636i | 1.56938 | + | 1.06999i | 0.961077 | + | 0.276281i | \(0.0891021\pi\) |
0.608304 | + | 0.793704i | \(0.291850\pi\) | |||||||
\(44\) | 2.27785 | + | 3.34099i | 0.343399 | + | 0.503674i | ||||
\(45\) | 0.212075 | − | 1.91487i | 0.0316143 | − | 0.285452i | ||||
\(46\) | −0.157387 | − | 2.10018i | −0.0232054 | − | 0.309654i | ||||
\(47\) | −1.97770 | + | 2.47995i | −0.288477 | + | 0.361738i | −0.904861 | − | 0.425707i | \(-0.860025\pi\) |
0.616384 | + | 0.787445i | \(0.288597\pi\) | |||||||
\(48\) | −1.62330 | + | 0.604070i | −0.234303 | + | 0.0871900i | ||||
\(49\) | 3.55828 | − | 6.02816i | 0.508325 | − | 0.861165i | ||||
\(50\) | −3.97297 | − | 2.29379i | −0.561863 | − | 0.324392i | ||||
\(51\) | 2.91264 | − | 0.610608i | 0.407851 | − | 0.0855023i | ||||
\(52\) | −1.00295 | − | 1.47106i | −0.139084 | − | 0.203999i | ||||
\(53\) | 3.55341 | + | 3.82966i | 0.488098 | + | 0.526045i | 0.928289 | − | 0.371860i | \(-0.121280\pi\) |
−0.440191 | + | 0.897904i | \(0.645089\pi\) | |||||||
\(54\) | −3.01891 | − | 4.22920i | −0.410822 | − | 0.575522i | ||||
\(55\) | −1.12670 | − | 2.33962i | −0.151924 | − | 0.315474i | ||||
\(56\) | 0.184998 | + | 2.63928i | 0.0247214 | + | 0.352688i | ||||
\(57\) | 3.36103 | + | 2.37999i | 0.445179 | + | 0.315237i | ||||
\(58\) | 2.70020 | − | 6.87999i | 0.354553 | − | 0.903387i | ||||
\(59\) | −4.86965 | + | 2.34510i | −0.633974 | + | 0.305306i | −0.723130 | − | 0.690712i | \(-0.757297\pi\) |
0.0891562 | + | 0.996018i | \(0.471583\pi\) | |||||||
\(60\) | 1.08864 | − | 0.228224i | 0.140543 | − | 0.0294636i | ||||
\(61\) | 1.18841 | + | 0.271247i | 0.152161 | + | 0.0347297i | 0.297923 | − | 0.954590i | \(-0.403706\pi\) |
−0.145762 | + | 0.989320i | \(0.546563\pi\) | |||||||
\(62\) | −6.04233 | + | 7.57685i | −0.767377 | + | 0.962261i | ||||
\(63\) | −7.49947 | + | 2.59960i | −0.944845 | + | 0.327519i | ||||
\(64\) | −0.623490 | − | 0.781831i | −0.0779362 | − | 0.0977289i | ||||
\(65\) | 0.496093 | + | 1.03015i | 0.0615328 | + | 0.127774i | ||||
\(66\) | −6.47316 | − | 2.67408i | −0.796791 | − | 0.329156i | ||||
\(67\) | −4.48697 | −0.548171 | −0.274086 | − | 0.961705i | \(-0.588375\pi\) | ||||
−0.274086 | + | 0.961705i | \(0.588375\pi\) | |||||||
\(68\) | 0.859085 | + | 1.48798i | 0.104179 | + | 0.180444i | ||||
\(69\) | 2.22339 | + | 2.89190i | 0.267665 | + | 0.348144i | ||||
\(70\) | 0.135138 | − | 1.69370i | 0.0161521 | − | 0.202436i | ||||
\(71\) | 2.29931 | − | 0.524802i | 0.272878 | − | 0.0622825i | −0.0838923 | − | 0.996475i | \(-0.526735\pi\) |
0.356770 | + | 0.934192i | \(0.383878\pi\) | |||||||
\(72\) | 1.77688 | − | 2.41717i | 0.209407 | − | 0.284866i | ||||
\(73\) | −10.6287 | − | 4.17147i | −1.24400 | − | 0.488234i | −0.350189 | − | 0.936679i | \(-0.613883\pi\) |
−0.893810 | + | 0.448445i | \(0.851978\pi\) | |||||||
\(74\) | 0.832136 | + | 5.52086i | 0.0967338 | + | 0.641787i | ||||
\(75\) | 7.93301 | − | 0.453058i | 0.916025 | − | 0.0523147i | ||||
\(76\) | −0.700850 | + | 2.27210i | −0.0803930 | + | 0.260628i | ||||
\(77\) | −6.71059 | + | 8.33210i | −0.764742 | + | 0.949531i | ||||
\(78\) | 2.85017 | + | 1.17741i | 0.322718 | + | 0.133316i | ||||
\(79\) | −12.7493 | −1.43441 | −0.717204 | − | 0.696863i | \(-0.754578\pi\) | ||||
−0.717204 | + | 0.696863i | \(0.754578\pi\) | |||||||
\(80\) | 0.321096 | + | 0.556155i | 0.0358996 | + | 0.0621800i | ||||
\(81\) | 8.39028 | + | 3.25625i | 0.932253 | + | 0.361806i | ||||
\(82\) | −4.59222 | − | 0.344139i | −0.507126 | − | 0.0380038i | ||||
\(83\) | −3.78331 | + | 9.63972i | −0.415272 | + | 1.05810i | 0.558284 | + | 0.829650i | \(0.311460\pi\) |
−0.973556 | + | 0.228447i | \(0.926635\pi\) | |||||||
\(84\) | −2.77560 | − | 3.64637i | −0.302843 | − | 0.397852i | ||||
\(85\) | −0.403115 | − | 1.02712i | −0.0437240 | − | 0.111407i | ||||
\(86\) | −3.67129 | − | 11.9020i | −0.395885 | − | 1.28343i | ||||
\(87\) | 2.62660 | + | 12.5290i | 0.281601 | + | 1.34325i | ||||
\(88\) | 0.302180 | − | 4.03231i | 0.0322125 | − | 0.429846i | ||||
\(89\) | 14.2472 | − | 2.14742i | 1.51020 | − | 0.227626i | 0.658870 | − | 0.752257i | \(-0.271035\pi\) |
0.851330 | + | 0.524631i | \(0.175797\pi\) | |||||||
\(90\) | −1.35971 | + | 1.36488i | −0.143326 | + | 0.143871i | ||||
\(91\) | 2.95471 | − | 3.66867i | 0.309738 | − | 0.384582i | ||||
\(92\) | −1.18639 | + | 1.74011i | −0.123690 | + | 0.181419i | ||||
\(93\) | 1.55131 | − | 16.7137i | 0.160863 | − | 1.73313i | ||||
\(94\) | 3.09245 | − | 0.705832i | 0.318962 | − | 0.0728010i | ||||
\(95\) | 0.662524 | − | 1.37575i | 0.0679736 | − | 0.141149i | ||||
\(96\) | 1.64578 | + | 0.539829i | 0.167971 | + | 0.0550961i | ||||
\(97\) | −3.70125 | + | 2.13692i | −0.375805 | + | 0.216971i | −0.675991 | − | 0.736910i | \(-0.736284\pi\) |
0.300187 | + | 0.953880i | \(0.402951\pi\) | |||||||
\(98\) | −6.54047 | + | 2.49445i | −0.660687 | + | 0.251978i | ||||
\(99\) | 11.9151 | − | 2.27788i | 1.19751 | − | 0.228935i | ||||
\(100\) | 1.67603 | + | 4.27047i | 0.167603 | + | 0.427047i | ||||
\(101\) | 11.6002 | − | 7.90887i | 1.15426 | − | 0.786962i | 0.174015 | − | 0.984743i | \(-0.444326\pi\) |
0.980246 | + | 0.197781i | \(0.0633735\pi\) | |||||||
\(102\) | −2.65790 | − | 1.33861i | −0.263172 | − | 0.132542i | ||||
\(103\) | 4.34481 | − | 0.325599i | 0.428107 | − | 0.0320822i | 0.141065 | − | 0.990000i | \(-0.454947\pi\) |
0.287042 | + | 0.957918i | \(0.407328\pi\) | |||||||
\(104\) | −0.133052 | + | 1.77545i | −0.0130468 | + | 0.174097i | ||||
\(105\) | 1.41355 | + | 2.58118i | 0.137948 | + | 0.251898i | ||||
\(106\) | −0.390410 | − | 5.20966i | −0.0379200 | − | 0.506007i | ||||
\(107\) | −2.14571 | − | 14.2359i | −0.207434 | − | 1.37623i | −0.813846 | − | 0.581081i | \(-0.802630\pi\) |
0.606412 | − | 0.795151i | \(-0.292608\pi\) | |||||||
\(108\) | −0.276585 | + | 5.18879i | −0.0266144 | + | 0.499291i | ||||
\(109\) | −8.50351 | − | 1.28170i | −0.814489 | − | 0.122764i | −0.271429 | − | 0.962458i | \(-0.587496\pi\) |
−0.543060 | + | 0.839694i | \(0.682734\pi\) | |||||||
\(110\) | −0.577838 | + | 2.53167i | −0.0550947 | + | 0.241385i | ||||
\(111\) | −6.45069 | − | 7.20455i | −0.612272 | − | 0.683826i | ||||
\(112\) | 1.50092 | − | 2.17881i | 0.141824 | − | 0.205878i | ||||
\(113\) | 0.150495 | + | 0.998471i | 0.0141574 | + | 0.0939283i | 0.994794 | − | 0.101910i | \(-0.0324954\pi\) |
−0.980636 | + | 0.195838i | \(0.937257\pi\) | |||||||
\(114\) | −1.14386 | − | 3.95632i | −0.107132 | − | 0.370543i | ||||
\(115\) | 0.919934 | − | 0.991453i | 0.0857842 | − | 0.0924534i | ||||
\(116\) | −6.40070 | + | 3.69545i | −0.594290 | + | 0.343114i | ||||
\(117\) | −5.24628 | + | 1.00296i | −0.485018 | + | 0.0927240i | ||||
\(118\) | 5.26939 | + | 1.20270i | 0.485086 | + | 0.110718i | ||||
\(119\) | −3.10799 | + | 3.31740i | −0.284909 | + | 0.304106i | ||||
\(120\) | −0.993432 | − | 0.500326i | −0.0906875 | − | 0.0456733i | ||||
\(121\) | 3.92244 | − | 3.63949i | 0.356586 | − | 0.330863i | ||||
\(122\) | −0.760018 | − | 0.953032i | −0.0688088 | − | 0.0862835i | ||||
\(123\) | 6.97735 | − | 3.86489i | 0.629126 | − | 0.348485i | ||||
\(124\) | 9.44817 | − | 2.15648i | 0.848471 | − | 0.193658i | ||||
\(125\) | −1.37008 | − | 6.00270i | −0.122543 | − | 0.536898i | ||||
\(126\) | 7.48415 | + | 2.64339i | 0.666741 | + | 0.235492i | ||||
\(127\) | −1.11598 | + | 4.88942i | −0.0990271 | + | 0.433866i | −1.00000 | 9.31609e-6i | \(-0.999997\pi\) | |
0.900973 | + | 0.433875i | \(0.142854\pi\) | |||||||
\(128\) | 1.00000i | 0.0883883i | ||||||||
\(129\) | 16.6253 | + | 13.7480i | 1.46378 | + | 1.21045i | ||||
\(130\) | 0.254425 | − | 1.11471i | 0.0223146 | − | 0.0977666i | ||||
\(131\) | −6.21913 | − | 4.24013i | −0.543368 | − | 0.370462i | 0.260311 | − | 0.965525i | \(-0.416175\pi\) |
−0.803679 | + | 0.595063i | \(0.797127\pi\) | |||||||
\(132\) | 3.39366 | + | 6.12663i | 0.295380 | + | 0.533255i | ||||
\(133\) | −6.29082 | − | 0.0303228i | −0.545484 | − | 0.00262932i | ||||
\(134\) | 3.50806 | + | 2.79758i | 0.303050 | + | 0.241674i | ||||
\(135\) | 0.672275 | − | 3.26851i | 0.0578602 | − | 0.281308i | ||||
\(136\) | 0.256080 | − | 1.69898i | 0.0219587 | − | 0.145686i | ||||
\(137\) | −11.4647 | − | 0.859159i | −0.979494 | − | 0.0734029i | −0.424650 | − | 0.905358i | \(-0.639603\pi\) |
−0.554844 | + | 0.831955i | \(0.687222\pi\) | |||||||
\(138\) | 0.0647501 | − | 3.64724i | 0.00551189 | − | 0.310474i | ||||
\(139\) | −2.23079 | − | 3.27197i | −0.189213 | − | 0.277525i | 0.719897 | − | 0.694081i | \(-0.244189\pi\) |
−0.909110 | + | 0.416556i | \(0.863237\pi\) | |||||||
\(140\) | −1.16166 | + | 1.23993i | −0.0981781 | + | 0.104793i | ||||
\(141\) | −3.80779 | + | 3.96044i | −0.320674 | + | 0.333529i | ||||
\(142\) | −2.12488 | − | 1.02329i | −0.178316 | − | 0.0858724i | ||||
\(143\) | −5.27751 | + | 4.89682i | −0.441328 | + | 0.409492i | ||||
\(144\) | −2.89630 | + | 0.781954i | −0.241358 | + | 0.0651628i | ||||
\(145\) | 4.41827 | − | 1.73404i | 0.366918 | − | 0.144005i | ||||
\(146\) | 5.70901 | + | 9.88830i | 0.472481 | + | 0.818361i | ||||
\(147\) | 7.10169 | − | 9.82680i | 0.585738 | − | 0.810501i | ||||
\(148\) | 2.79161 | − | 4.83521i | 0.229469 | − | 0.397452i | ||||
\(149\) | 2.05620 | − | 13.6420i | 0.168451 | − | 1.11760i | −0.731575 | − | 0.681761i | \(-0.761214\pi\) |
0.900026 | − | 0.435837i | \(-0.143548\pi\) | |||||||
\(150\) | −6.48475 | − | 4.59194i | −0.529478 | − | 0.374930i | ||||
\(151\) | 6.42451 | + | 1.98170i | 0.522820 | + | 0.161268i | 0.544921 | − | 0.838487i | \(-0.316560\pi\) |
−0.0221017 | + | 0.999756i | \(0.507036\pi\) | |||||||
\(152\) | 1.96458 | − | 1.33943i | 0.159348 | − | 0.108642i | ||||
\(153\) | 5.12099 | − | 0.586839i | 0.414008 | − | 0.0474431i | ||||
\(154\) | 10.4415 | − | 2.33032i | 0.841402 | − | 0.187782i | ||||
\(155\) | −6.20618 | + | 0.465089i | −0.498492 | + | 0.0373568i | ||||
\(156\) | −1.49425 | − | 2.69759i | −0.119636 | − | 0.215980i | ||||
\(157\) | −9.30078 | − | 19.3133i | −0.742283 | − | 1.54137i | −0.837824 | − | 0.545941i | \(-0.816172\pi\) |
0.0955410 | − | 0.995425i | \(-0.469542\pi\) | |||||||
\(158\) | 9.96780 | + | 7.94905i | 0.792996 | + | 0.632393i | ||||
\(159\) | 5.51531 | + | 7.17359i | 0.437393 | + | 0.568903i | ||||
\(160\) | 0.0957138 | − | 0.635019i | 0.00756684 | − | 0.0502027i | ||||
\(161\) | −5.31660 | − | 1.66806i | −0.419007 | − | 0.131462i | ||||
\(162\) | −4.52954 | − | 7.77710i | −0.355875 | − | 0.611026i | ||||
\(163\) | −1.00173 | + | 13.3672i | −0.0784617 | + | 1.04700i | 0.809512 | + | 0.587104i | \(0.199732\pi\) |
−0.887973 | + | 0.459895i | \(0.847887\pi\) | |||||||
\(164\) | 3.37577 | + | 3.13226i | 0.263604 | + | 0.244588i | ||||
\(165\) | −1.56864 | − | 4.21535i | −0.122118 | − | 0.328164i | ||||
\(166\) | 8.96818 | − | 5.17778i | 0.696066 | − | 0.401874i | ||||
\(167\) | −2.85973 | − | 2.65344i | −0.221292 | − | 0.205329i | 0.561734 | − | 0.827318i | \(-0.310135\pi\) |
−0.783026 | + | 0.621989i | \(0.786325\pi\) | |||||||
\(168\) | −0.103426 | + | 4.58141i | −0.00797953 | + | 0.353463i | ||||
\(169\) | −7.20595 | + | 6.68615i | −0.554304 | + | 0.514319i | ||||
\(170\) | −0.325231 | + | 1.05437i | −0.0249441 | + | 0.0808668i | ||||
\(171\) | 5.41559 | + | 4.64263i | 0.414140 | + | 0.355031i | ||||
\(172\) | −4.55046 | + | 11.5944i | −0.346969 | + | 0.884064i | ||||
\(173\) | 2.19514 | + | 9.61753i | 0.166893 | + | 0.731207i | 0.987227 | + | 0.159322i | \(0.0509307\pi\) |
−0.820334 | + | 0.571885i | \(0.806212\pi\) | |||||||
\(174\) | 5.75817 | − | 11.4333i | 0.436526 | − | 0.866753i | ||||
\(175\) | −9.52594 | + | 7.52185i | −0.720093 | + | 0.568599i | ||||
\(176\) | −2.75036 | + | 2.96418i | −0.207316 | + | 0.223434i | ||||
\(177\) | −8.77377 | + | 3.26494i | −0.659477 | + | 0.245408i | ||||
\(178\) | −12.4778 | − | 7.20406i | −0.935251 | − | 0.539967i | ||||
\(179\) | −0.288074 | − | 0.933913i | −0.0215317 | − | 0.0698039i | 0.944169 | − | 0.329460i | \(-0.106867\pi\) |
−0.965701 | + | 0.259657i | \(0.916391\pi\) | |||||||
\(180\) | 1.91405 | − | 0.219340i | 0.142665 | − | 0.0163486i | ||||
\(181\) | −16.8037 | + | 13.4005i | −1.24901 | + | 0.996050i | −0.249390 | + | 0.968403i | \(0.580230\pi\) |
−0.999618 | + | 0.0276474i | \(0.991198\pi\) | |||||||
\(182\) | −4.59747 | + | 1.02605i | −0.340787 | + | 0.0760561i | ||||
\(183\) | 2.00616 | + | 0.658038i | 0.148300 | + | 0.0486436i | ||||
\(184\) | 2.01250 | − | 0.620774i | 0.148364 | − | 0.0457641i | ||||
\(185\) | −2.23552 | + | 2.80326i | −0.164359 | + | 0.206099i | ||||
\(186\) | −11.6337 | + | 12.1001i | −0.853024 | + | 0.887222i | ||||
\(187\) | 5.43187 | − | 4.33177i | 0.397217 | − | 0.316770i | ||||
\(188\) | −2.85785 | − | 1.37627i | −0.208430 | − | 0.100375i | ||||
\(189\) | −13.3500 | + | 3.28290i | −0.971070 | + | 0.238796i | ||||
\(190\) | −1.37575 | + | 0.662524i | −0.0998071 | + | 0.0480646i | ||||
\(191\) | 0.0406946 | − | 0.0845032i | 0.00294456 | − | 0.00611444i | −0.899491 | − | 0.436938i | \(-0.856063\pi\) |
0.902436 | + | 0.430824i | \(0.141777\pi\) | |||||||
\(192\) | −0.950143 | − | 1.44818i | −0.0685707 | − | 0.104513i | ||||
\(193\) | −8.65120 | − | 4.16620i | −0.622727 | − | 0.299890i | 0.0957872 | − | 0.995402i | \(-0.469463\pi\) |
−0.718514 | + | 0.695512i | \(0.755177\pi\) | |||||||
\(194\) | 4.22610 | + | 0.636982i | 0.303416 | + | 0.0457326i | ||||
\(195\) | 0.690680 | + | 1.85604i | 0.0494606 | + | 0.132914i | ||||
\(196\) | 6.66881 | + | 2.12767i | 0.476343 | + | 0.151977i | ||||
\(197\) | 22.2365i | 1.58428i | 0.610337 | + | 0.792142i | \(0.291034\pi\) | ||||
−0.610337 | + | 0.792142i | \(0.708966\pi\) | |||||||
\(198\) | −10.7358 | − | 5.64801i | −0.762961 | − | 0.401386i | ||||
\(199\) | −3.93689 | + | 0.295029i | −0.279079 | + | 0.0209140i | −0.213534 | − | 0.976936i | \(-0.568497\pi\) |
−0.0655444 | + | 0.997850i | \(0.520878\pi\) | |||||||
\(200\) | 1.35222 | − | 4.38378i | 0.0956161 | − | 0.309980i | ||||
\(201\) | −7.73841 | − | 0.718250i | −0.545825 | − | 0.0506615i | ||||
\(202\) | −14.0005 | − | 1.04919i | −0.985071 | − | 0.0738209i | ||||
\(203\) | −14.2702 | − | 13.3694i | −1.00157 | − | 0.938344i | ||||
\(204\) | 1.24342 | + | 2.70374i | 0.0870570 | + | 0.189300i | ||||
\(205\) | −1.84388 | − | 2.31215i | −0.128782 | − | 0.161488i | ||||
\(206\) | −3.59992 | − | 2.45438i | −0.250818 | − | 0.171005i | ||||
\(207\) | 3.37163 | + | 5.34339i | 0.234345 | + | 0.371391i | ||||
\(208\) | 1.21100 | − | 1.30515i | 0.0839677 | − | 0.0904957i | ||||
\(209\) | 9.50726 | + | 1.43299i | 0.657631 | + | 0.0991219i | ||||
\(210\) | 0.504182 | − | 2.89938i | 0.0347918 | − | 0.200076i | ||||
\(211\) | −25.6396 | + | 3.86454i | −1.76510 | + | 0.266046i | −0.949770 | − | 0.312950i | \(-0.898683\pi\) |
−0.815331 | + | 0.578996i | \(0.803445\pi\) | |||||||
\(212\) | −2.94294 | + | 4.31650i | −0.202122 | + | 0.296458i | ||||
\(213\) | 4.04948 | − | 0.537033i | 0.277466 | − | 0.0367969i | ||||
\(214\) | −7.19833 | + | 12.4679i | −0.492067 | + | 0.852286i | ||||
\(215\) | 3.99937 | − | 6.92712i | 0.272755 | − | 0.472425i | ||||
\(216\) | 3.45140 | − | 3.88431i | 0.234838 | − | 0.264294i | ||||
\(217\) | 12.7130 | + | 22.2668i | 0.863015 | + | 1.51157i | ||||
\(218\) | 5.84919 | + | 6.30393i | 0.396157 | + | 0.426956i | ||||
\(219\) | −17.6630 | − | 8.89567i | −1.19355 | − | 0.601114i | ||||
\(220\) | 2.03024 | − | 1.61907i | 0.136879 | − | 0.109157i | ||||
\(221\) | −2.39168 | + | 1.90730i | −0.160882 | + | 0.128299i | ||||
\(222\) | 0.551384 | + | 9.65469i | 0.0370065 | + | 0.647980i | ||||
\(223\) | −4.20793 | − | 4.53507i | −0.281784 | − | 0.303691i | 0.576261 | − | 0.817266i | \(-0.304511\pi\) |
−0.858045 | + | 0.513575i | \(0.828321\pi\) | |||||||
\(224\) | −2.53194 | + | 0.767654i | −0.169172 | + | 0.0512910i | ||||
\(225\) | 13.7541 | + | 0.488511i | 0.916940 | + | 0.0325674i | ||||
\(226\) | 0.504875 | − | 0.874469i | 0.0335838 | − | 0.0581688i | ||||
\(227\) | −14.4414 | + | 25.0133i | −0.958511 | + | 1.66019i | −0.232392 | + | 0.972622i | \(0.574655\pi\) |
−0.726120 | + | 0.687568i | \(0.758678\pi\) | |||||||
\(228\) | −1.57242 | + | 3.80636i | −0.104136 | + | 0.252082i | ||||
\(229\) | 15.8897 | − | 23.3059i | 1.05002 | − | 1.54010i | 0.225523 | − | 0.974238i | \(-0.427591\pi\) |
0.824500 | − | 0.565862i | \(-0.191457\pi\) | |||||||
\(230\) | −1.33739 | + | 0.201580i | −0.0881851 | + | 0.0132918i | ||||
\(231\) | −12.9071 | + | 13.2957i | −0.849224 | + | 0.874790i | ||||
\(232\) | 7.30834 | + | 1.10156i | 0.479816 | + | 0.0723206i | ||||
\(233\) | 8.07371 | − | 8.70139i | 0.528926 | − | 0.570047i | −0.410908 | − | 0.911677i | \(-0.634788\pi\) |
0.939835 | + | 0.341630i | \(0.110979\pi\) | |||||||
\(234\) | 4.72704 | + | 2.48685i | 0.309016 | + | 0.162571i | ||||
\(235\) | 1.68306 | + | 1.14749i | 0.109791 | + | 0.0748543i | ||||
\(236\) | −3.36990 | − | 4.22572i | −0.219362 | − | 0.275071i | ||||
\(237\) | −21.9879 | − | 2.04084i | −1.42827 | − | 0.132567i | ||||
\(238\) | 4.49829 | − | 0.655849i | 0.291581 | − | 0.0425124i | ||||
\(239\) | −9.26155 | − | 0.694057i | −0.599080 | − | 0.0448948i | −0.228261 | − | 0.973600i | \(-0.573304\pi\) |
−0.370819 | + | 0.928705i | \(0.620923\pi\) | |||||||
\(240\) | 0.464748 | + | 1.01056i | 0.0299994 | + | 0.0652317i | ||||
\(241\) | −3.18908 | + | 10.3387i | −0.205427 | + | 0.665976i | 0.792964 | + | 0.609268i | \(0.208537\pi\) |
−0.998391 | + | 0.0567083i | \(0.981939\pi\) | |||||||
\(242\) | −5.33588 | + | 0.399869i | −0.343003 | + | 0.0257045i | ||||
\(243\) | 13.9490 | + | 6.95893i | 0.894826 | + | 0.446416i | ||||
\(244\) | 1.21897i | 0.0780368i | ||||||||
\(245\) | −4.03118 | − | 1.98941i | −0.257542 | − | 0.127099i | ||||
\(246\) | −7.86483 | − | 1.32861i | −0.501443 | − | 0.0847093i | ||||
\(247\) | −4.18611 | − | 0.630954i | −0.266356 | − | 0.0401466i | ||||
\(248\) | −8.73143 | − | 4.20483i | −0.554446 | − | 0.267007i | ||||
\(249\) | −8.06792 | + | 16.0194i | −0.511283 | + | 1.01519i | ||||
\(250\) | −2.67145 | + | 5.54733i | −0.168958 | + | 0.350844i | ||||
\(251\) | −15.6523 | + | 7.53776i | −0.987966 | + | 0.475779i | −0.856838 | − | 0.515586i | \(-0.827574\pi\) |
−0.131128 | + | 0.991365i | \(0.541860\pi\) | |||||||
\(252\) | −4.20321 | − | 6.73298i | −0.264777 | − | 0.424138i | ||||
\(253\) | 7.67277 | + | 3.69501i | 0.482383 | + | 0.232303i | ||||
\(254\) | 3.92101 | − | 3.12690i | 0.246026 | − | 0.196199i | ||||
\(255\) | −0.530812 | − | 1.83594i | −0.0332407 | − | 0.114971i | ||||
\(256\) | 0.623490 | − | 0.781831i | 0.0389681 | − | 0.0488645i | ||||
\(257\) | −9.82474 | + | 3.03053i | −0.612851 | + | 0.189039i | −0.585615 | − | 0.810590i | \(-0.699147\pi\) |
−0.0272361 | + | 0.999629i | \(0.508671\pi\) | |||||||
\(258\) | −4.42643 | − | 21.1144i | −0.275578 | − | 1.31452i | ||||
\(259\) | 14.3854 | + | 3.35641i | 0.893867 | + | 0.208557i | ||||
\(260\) | −0.893929 | + | 0.712884i | −0.0554391 | + | 0.0442112i | ||||
\(261\) | 2.52435 | + | 22.0285i | 0.156253 | + | 1.36353i | ||||
\(262\) | 2.21863 | + | 7.19263i | 0.137068 | + | 0.444362i | ||||
\(263\) | 13.8219 | + | 7.98005i | 0.852292 | + | 0.492071i | 0.861424 | − | 0.507887i | \(-0.169573\pi\) |
−0.00913129 | + | 0.999958i | \(0.502907\pi\) | |||||||
\(264\) | 1.16662 | − | 6.90590i | 0.0718006 | − | 0.425029i | ||||
\(265\) | 2.28197 | − | 2.45938i | 0.140180 | − | 0.151078i | ||||
\(266\) | 4.89946 | + | 3.94597i | 0.300405 | + | 0.241943i | ||||
\(267\) | 24.9150 | − | 1.42291i | 1.52477 | − | 0.0870806i | ||||
\(268\) | −0.998446 | − | 4.37448i | −0.0609898 | − | 0.267214i | ||||
\(269\) | 1.94444 | − | 4.95435i | 0.118554 | − | 0.302072i | −0.859262 | − | 0.511536i | \(-0.829077\pi\) |
0.977816 | + | 0.209464i | \(0.0671720\pi\) | |||||||
\(270\) | −2.56349 | + | 2.13626i | −0.156009 | + | 0.130009i | ||||
\(271\) | −4.65390 | + | 15.0876i | −0.282704 | + | 0.916505i | 0.697173 | + | 0.716903i | \(0.254441\pi\) |
−0.979877 | + | 0.199602i | \(0.936035\pi\) | |||||||
\(272\) | −1.25951 | + | 1.16865i | −0.0763688 | + | 0.0708599i | ||||
\(273\) | 5.68307 | − | 5.85416i | 0.343955 | − | 0.354310i | ||||
\(274\) | 8.42777 | + | 7.81983i | 0.509140 | + | 0.472413i | ||||
\(275\) | 16.0652 | − | 9.27523i | 0.968766 | − | 0.559317i | ||||
\(276\) | −2.32464 | + | 2.81116i | −0.139927 | + | 0.169212i | ||||
\(277\) | 0.204247 | + | 0.189514i | 0.0122720 | + | 0.0113868i | 0.686285 | − | 0.727333i | \(-0.259240\pi\) |
−0.674013 | + | 0.738720i | \(0.735431\pi\) | |||||||
\(278\) | −0.295937 | + | 3.94901i | −0.0177491 | + | 0.236846i | ||||
\(279\) | 5.35088 | − | 28.5768i | 0.320349 | − | 1.71085i | ||||
\(280\) | 1.68130 | − | 0.245134i | 0.100477 | − | 0.0146495i | ||||
\(281\) | 1.39276 | − | 9.24035i | 0.0830850 | − | 0.551233i | −0.908101 | − | 0.418752i | \(-0.862468\pi\) |
0.991186 | − | 0.132481i | \(-0.0422943\pi\) | |||||||
\(282\) | 5.44634 | − | 0.722282i | 0.324325 | − | 0.0430112i | ||||
\(283\) | 7.22202 | + | 5.75937i | 0.429304 | + | 0.342359i | 0.814183 | − | 0.580608i | \(-0.197185\pi\) |
−0.384879 | + | 0.922967i | \(0.625757\pi\) | |||||||
\(284\) | 1.02329 | + | 2.12488i | 0.0607210 | + | 0.126088i | ||||
\(285\) | 1.36284 | − | 2.26661i | 0.0807275 | − | 0.134262i | ||||
\(286\) | 7.17924 | − | 0.538010i | 0.424517 | − | 0.0318132i | ||||
\(287\) | −5.33926 | + | 10.9517i | −0.315167 | + | 0.646461i | ||||
\(288\) | 2.75196 | + | 1.19446i | 0.162161 | + | 0.0703840i | ||||
\(289\) | −11.6069 | + | 7.91346i | −0.682760 | + | 0.465498i | ||||
\(290\) | −4.53550 | − | 1.39902i | −0.266334 | − | 0.0821532i | ||||
\(291\) | −6.72538 | + | 3.09293i | −0.394249 | + | 0.181311i | ||||
\(292\) | 1.70177 | − | 11.2905i | 0.0995884 | − | 0.660726i | ||||
\(293\) | −1.42446 | + | 2.46723i | −0.0832176 | + | 0.144137i | −0.904630 | − | 0.426197i | \(-0.859853\pi\) |
0.821413 | + | 0.570334i | \(0.193186\pi\) | |||||||
\(294\) | −11.6792 | + | 3.25507i | −0.681147 | + | 0.189839i | ||||
\(295\) | 1.73549 | + | 3.00596i | 0.101044 | + | 0.175014i | ||||
\(296\) | −5.19727 | + | 2.03978i | −0.302085 | + | 0.118560i | ||||
\(297\) | 20.9138 | − | 2.02121i | 1.21354 | − | 0.117283i | ||||
\(298\) | −10.1133 | + | 9.38374i | −0.585846 | + | 0.543586i | ||||
\(299\) | −3.37837 | − | 1.62694i | −0.195376 | − | 0.0940881i | ||||
\(300\) | 2.20696 | + | 7.63330i | 0.127419 | + | 0.440709i | ||||
\(301\) | −32.8494 | − | 2.62101i | −1.89341 | − | 0.151073i | ||||
\(302\) | −3.78732 | − | 5.55497i | −0.217936 | − | 0.319653i | ||||
\(303\) | 21.2721 | − | 11.7830i | 1.22205 | − | 0.676918i | ||||
\(304\) | −2.37109 | − | 0.177688i | −0.135991 | − | 0.0101911i | ||||
\(305\) | 0.116673 | − | 0.774072i | 0.00668065 | − | 0.0443232i | ||||
\(306\) | −4.36964 | − | 2.73408i | −0.249796 | − | 0.156297i | ||||
\(307\) | −21.9177 | − | 17.4788i | −1.25091 | − | 0.997566i | −0.999560 | − | 0.0296698i | \(-0.990554\pi\) |
−0.251349 | − | 0.967897i | \(-0.580874\pi\) | |||||||
\(308\) | −9.61644 | − | 4.68827i | −0.547948 | − | 0.267139i | ||||
\(309\) | 7.54535 | + | 0.133954i | 0.429240 | + | 0.00762036i | ||||
\(310\) | 5.14216 | + | 3.50587i | 0.292055 | + | 0.199120i | ||||
\(311\) | −1.44278 | + | 6.32124i | −0.0818126 | + | 0.358445i | −0.999219 | − | 0.0395064i | \(-0.987421\pi\) |
0.917407 | + | 0.397951i | \(0.130279\pi\) | |||||||
\(312\) | −0.513670 | + | 3.04071i | −0.0290809 | + | 0.172146i | ||||
\(313\) | − | 22.5178i | − | 1.27278i | −0.771368 | − | 0.636390i | \(-0.780427\pi\) | ||
0.771368 | − | 0.636390i | \(-0.219573\pi\) | |||||||
\(314\) | −4.76998 | + | 20.8987i | −0.269186 | + | 1.17938i | ||||
\(315\) | 2.02468 | + | 4.67788i | 0.114078 | + | 0.263569i | ||||
\(316\) | −2.83698 | − | 12.4296i | −0.159593 | − | 0.699222i | ||||
\(317\) | −13.6094 | + | 3.10626i | −0.764381 | + | 0.174465i | −0.586900 | − | 0.809659i | \(-0.699652\pi\) |
−0.177481 | + | 0.984124i | \(0.556795\pi\) | |||||||
\(318\) | 0.160618 | − | 9.04728i | 0.00900700 | − | 0.507346i | ||||
\(319\) | 18.6336 | + | 23.3658i | 1.04328 | + | 1.30823i | ||||
\(320\) | −0.470760 | + | 0.436802i | −0.0263163 | + | 0.0244180i | ||||
\(321\) | −1.42178 | − | 24.8952i | −0.0793558 | − | 1.38951i | ||||
\(322\) | 3.11667 | + | 4.61899i | 0.173685 | + | 0.257406i | ||||
\(323\) | 3.98292 | + | 0.909076i | 0.221616 | + | 0.0505824i | ||||
\(324\) | −1.30760 | + | 8.90450i | −0.0726445 | + | 0.494695i | ||||
\(325\) | −7.07359 | + | 4.08394i | −0.392372 | + | 0.226536i | ||||
\(326\) | 9.11749 | − | 9.82632i | 0.504971 | − | 0.544229i | ||||
\(327\) | −14.4603 | − | 3.57166i | −0.799657 | − | 0.197513i | ||||
\(328\) | −0.686354 | − | 4.55366i | −0.0378976 | − | 0.251434i | ||||
\(329\) | 1.29079 | − | 8.29241i | 0.0711634 | − | 0.457175i | ||||
\(330\) | −1.40182 | + | 4.27372i | −0.0771675 | + | 0.235261i | ||||
\(331\) | −0.648182 | + | 2.83987i | −0.0356273 | + | 0.156094i | −0.989613 | − | 0.143760i | \(-0.954081\pi\) |
0.953985 | + | 0.299854i | \(0.0969378\pi\) | |||||||
\(332\) | −10.2399 | − | 1.54342i | −0.561987 | − | 0.0847060i | ||||
\(333\) | −9.97183 | − | 13.4578i | −0.546453 | − | 0.737485i | ||||
\(334\) | 0.581433 | + | 3.85755i | 0.0318146 | + | 0.211076i | ||||
\(335\) | 0.215335 | + | 2.87344i | 0.0117650 | + | 0.156993i | ||||
\(336\) | 2.93732 | − | 3.51740i | 0.160244 | − | 0.191890i | ||||
\(337\) | −1.57291 | + | 20.9890i | −0.0856817 | + | 1.14334i | 0.774231 | + | 0.632903i | \(0.218137\pi\) |
−0.859913 | + | 0.510440i | \(0.829482\pi\) | |||||||
\(338\) | 9.80259 | − | 0.734602i | 0.533190 | − | 0.0399571i | ||||
\(339\) | 0.0997202 | + | 1.74609i | 0.00541606 | + | 0.0948347i | ||||
\(340\) | 0.911668 | − | 0.621564i | 0.0494421 | − | 0.0337091i | ||||
\(341\) | −14.3167 | − | 36.4784i | −0.775294 | − | 1.97542i | ||||
\(342\) | −1.33944 | − | 7.00632i | −0.0724287 | − | 0.378858i | ||||
\(343\) | −0.267801 | + | 18.5183i | −0.0144599 | + | 0.999895i | ||||
\(344\) | 10.7867 | − | 6.22769i | 0.581579 | − | 0.335775i | ||||
\(345\) | 1.74526 | − | 1.56264i | 0.0939616 | − | 0.0841297i | ||||
\(346\) | 4.28020 | − | 8.88793i | 0.230105 | − | 0.477818i | ||||
\(347\) | 30.1997 | − | 6.89289i | 1.62121 | − | 0.370030i | 0.686970 | − | 0.726686i | \(-0.258940\pi\) |
0.934236 | + | 0.356656i | \(0.116083\pi\) | |||||||
\(348\) | −11.6304 | + | 5.34872i | −0.623457 | + | 0.286721i | ||||
\(349\) | 20.7762 | − | 30.4732i | 1.11213 | − | 1.63119i | 0.423870 | − | 0.905723i | \(-0.360671\pi\) |
0.688257 | − | 0.725467i | \(-0.258376\pi\) | |||||||
\(350\) | 12.1375 | + | 0.0585046i | 0.648776 | + | 0.00312720i | ||||
\(351\) | −9.20848 | + | 0.889953i | −0.491512 | + | 0.0475022i | ||||
\(352\) | 3.99845 | − | 0.602670i | 0.213118 | − | 0.0321224i | ||||
\(353\) | 2.52293 | − | 33.6661i | 0.134282 | − | 1.79187i | −0.370716 | − | 0.928746i | \(-0.620888\pi\) |
0.504998 | − | 0.863120i | \(-0.331493\pi\) | |||||||
\(354\) | 8.89526 | + | 2.91772i | 0.472778 | + | 0.155075i | ||||
\(355\) | −0.446428 | − | 1.44728i | −0.0236939 | − | 0.0768138i | ||||
\(356\) | 5.26388 | + | 13.4121i | 0.278985 | + | 0.710842i | ||||
\(357\) | −5.89119 | + | 5.22381i | −0.311795 | + | 0.276473i | ||||
\(358\) | −0.357060 | + | 0.909774i | −0.0188712 | + | 0.0480830i | ||||
\(359\) | 0.453219 | + | 0.0339641i | 0.0239200 | + | 0.00179255i | 0.0866847 | − | 0.996236i | \(-0.472373\pi\) |
−0.0627647 | + | 0.998028i | \(0.519992\pi\) | |||||||
\(360\) | −1.63322 | − | 1.02190i | −0.0860783 | − | 0.0538590i | ||||
\(361\) | −6.67319 | − | 11.5583i | −0.351220 | − | 0.608332i | ||||
\(362\) | 21.4927 | 1.12963 | ||||||||
\(363\) | 7.34738 | − | 5.64893i | 0.385637 | − | 0.296492i | ||||
\(364\) | 4.23418 | + | 2.06427i | 0.221931 | + | 0.108197i | ||||
\(365\) | −2.16131 | + | 7.00680i | −0.113128 | + | 0.366753i | ||||
\(366\) | −1.15820 | − | 1.76530i | −0.0605401 | − | 0.0922735i | ||||
\(367\) | 2.38847 | + | 15.8465i | 0.124677 | + | 0.827178i | 0.960520 | + | 0.278210i | \(0.0897411\pi\) |
−0.835843 | + | 0.548968i | \(0.815021\pi\) | |||||||
\(368\) | −1.96048 | − | 0.769433i | −0.102197 | − | 0.0401095i | ||||
\(369\) | 12.6521 | − | 5.54864i | 0.658640 | − | 0.288851i | ||||
\(370\) | 3.49560 | − | 0.797849i | 0.181728 | − | 0.0414782i | ||||
\(371\) | −13.1883 | − | 4.13776i | −0.684700 | − | 0.214822i | ||||
\(372\) | 16.6399 | − | 2.20674i | 0.862737 | − | 0.114414i | ||||
\(373\) | 5.77981 | + | 10.0109i | 0.299267 | + | 0.518346i | 0.975968 | − | 0.217912i | \(-0.0699245\pi\) |
−0.676701 | + | 0.736258i | \(0.736591\pi\) | |||||||
\(374\) | −6.94762 | −0.359253 | ||||||||
\(375\) | −1.40201 | − | 10.5718i | −0.0723994 | − | 0.545926i | ||||
\(376\) | 1.37627 | + | 2.85785i | 0.0709757 | + | 0.147383i | ||||
\(377\) | −8.20448 | − | 10.2881i | −0.422552 | − | 0.529863i | ||||
\(378\) | 12.4843 | + | 5.75692i | 0.642123 | + | 0.296104i | ||||
\(379\) | 14.6604 | − | 18.3836i | 0.753056 | − | 0.944303i | −0.246636 | − | 0.969108i | \(-0.579325\pi\) |
0.999692 | + | 0.0248053i | \(0.00789659\pi\) | |||||||
\(380\) | 1.48868 | + | 0.339781i | 0.0763676 | + | 0.0174304i | ||||
\(381\) | −2.70733 | + | 8.25384i | −0.138701 | + | 0.422857i | ||||
\(382\) | −0.0845032 | + | 0.0406946i | −0.00432356 | + | 0.00208212i | ||||
\(383\) | 1.36943 | − | 3.48926i | 0.0699747 | − | 0.178293i | −0.891608 | − | 0.452808i | \(-0.850422\pi\) |
0.961583 | + | 0.274516i | \(0.0885175\pi\) | |||||||
\(384\) | −0.160074 | + | 1.72464i | −0.00816877 | + | 0.0880101i | ||||
\(385\) | 5.65790 | + | 3.89757i | 0.288353 | + | 0.198638i | ||||
\(386\) | 4.16620 | + | 8.65120i | 0.212054 | + | 0.440334i | ||||
\(387\) | 26.4719 | + | 26.3717i | 1.34564 | + | 1.34055i | ||||
\(388\) | −2.90694 | − | 3.13294i | −0.147578 | − | 0.159051i | ||||
\(389\) | −13.2046 | − | 19.3676i | −0.669502 | − | 0.981979i | −0.999281 | − | 0.0379205i | \(-0.987927\pi\) |
0.329779 | − | 0.944058i | \(-0.393026\pi\) | |||||||
\(390\) | 0.617229 | − | 1.88175i | 0.0312546 | − | 0.0952859i | ||||
\(391\) | 3.13378 | + | 1.80929i | 0.158482 | + | 0.0914997i | ||||
\(392\) | −3.88730 | − | 5.82142i | −0.196338 | − | 0.294026i | ||||
\(393\) | −10.0470 | − | 8.30822i | −0.506805 | − | 0.419094i | ||||
\(394\) | 13.8642 | − | 17.3852i | 0.698470 | − | 0.875853i | ||||
\(395\) | 0.611852 | + | 8.16460i | 0.0307856 | + | 0.410806i | ||||
\(396\) | 4.87212 | + | 11.1095i | 0.244833 | + | 0.558271i | ||||
\(397\) | −1.26520 | − | 1.85571i | −0.0634987 | − | 0.0931355i | 0.793176 | − | 0.608992i | \(-0.208426\pi\) |
−0.856675 | + | 0.515857i | \(0.827474\pi\) | |||||||
\(398\) | 3.26193 | + | 2.22395i | 0.163506 | + | 0.111476i | ||||
\(399\) | −10.8445 | − | 1.05930i | −0.542906 | − | 0.0530311i | ||||
\(400\) | −3.79044 | + | 2.58428i | −0.189522 | + | 0.129214i | ||||
\(401\) | 21.0117 | + | 8.24647i | 1.04927 | + | 0.411809i | 0.826427 | − | 0.563044i | \(-0.190370\pi\) |
0.222846 | + | 0.974854i | \(0.428465\pi\) | |||||||
\(402\) | 5.60231 | + | 5.38637i | 0.279418 | + | 0.268648i | ||||
\(403\) | 6.30374 | + | 16.0617i | 0.314012 | + | 0.800089i | ||||
\(404\) | 10.2919 | + | 9.54945i | 0.512039 | + | 0.475103i | ||||
\(405\) | 1.68264 | − | 5.52938i | 0.0836108 | − | 0.274757i | ||||
\(406\) | 2.82121 | + | 19.3499i | 0.140014 | + | 0.960318i | ||||
\(407\) | −21.0158 | − | 8.24808i | −1.04171 | − | 0.408842i | ||||
\(408\) | 0.713608 | − | 2.88913i | 0.0353289 | − | 0.143033i | ||||
\(409\) | −27.6455 | − | 6.30992i | −1.36698 | − | 0.312005i | −0.524814 | − | 0.851217i | \(-0.675865\pi\) |
−0.842170 | + | 0.539212i | \(0.818722\pi\) | |||||||
\(410\) | 2.95736i | 0.146053i | ||||||||
\(411\) | −19.6349 | − | 3.31694i | −0.968518 | − | 0.163613i | ||||
\(412\) | 1.28425 | + | 4.16343i | 0.0632703 | + | 0.205117i | ||||
\(413\) | 8.11234 | − | 11.7763i | 0.399182 | − | 0.579472i | ||||
\(414\) | 0.695501 | − | 6.27981i | 0.0341820 | − | 0.308636i | ||||
\(415\) | 6.35481 | + | 1.96020i | 0.311945 | + | 0.0962224i | ||||
\(416\) | −1.76054 | + | 0.265359i | −0.0863177 | + | 0.0130103i | ||||
\(417\) | −3.32355 | − | 6.00006i | −0.162755 | − | 0.293824i | ||||
\(418\) | −6.53962 | − | 7.04804i | −0.319863 | − | 0.344731i | ||||
\(419\) | −20.3777 | − | 6.28568i | −0.995514 | − | 0.307076i | −0.246149 | − | 0.969232i | \(-0.579165\pi\) |
−0.749366 | + | 0.662157i | \(0.769641\pi\) | |||||||
\(420\) | −2.20192 | + | 1.95248i | −0.107443 | + | 0.0952711i | ||||
\(421\) | 11.2475 | − | 3.46940i | 0.548170 | − | 0.169088i | −0.00828529 | − | 0.999966i | \(-0.502637\pi\) |
0.556455 | + | 0.830878i | \(0.312161\pi\) | |||||||
\(422\) | 22.4553 | + | 12.9646i | 1.09311 | + | 0.631106i | ||||
\(423\) | −7.20102 | + | 6.22080i | −0.350126 | + | 0.302466i | ||||
\(424\) | 4.99217 | − | 1.53988i | 0.242441 | − | 0.0747832i | ||||
\(425\) | 7.10167 | − | 3.41998i | 0.344481 | − | 0.165894i | ||||
\(426\) | −3.50085 | − | 2.10494i | −0.169617 | − | 0.101985i | ||||
\(427\) | −3.08637 | + | 0.935750i | −0.149360 | + | 0.0452841i | ||||
\(428\) | 13.4015 | − | 5.25969i | 0.647784 | − | 0.254237i | ||||
\(429\) | −9.88566 | + | 7.60044i | −0.477284 | + | 0.366953i | ||||
\(430\) | −7.44582 | + | 2.92227i | −0.359069 | + | 0.140924i | ||||
\(431\) | −19.5644 | + | 28.6957i | −0.942385 | + | 1.38222i | −0.0183854 | + | 0.999831i | \(0.505853\pi\) |
−0.923999 | + | 0.382394i | \(0.875100\pi\) | |||||||
\(432\) | −5.12024 | + | 0.884963i | −0.246348 | + | 0.0425778i | ||||
\(433\) | 7.39023 | − | 15.3460i | 0.355152 | − | 0.737481i | −0.644480 | − | 0.764621i | \(-0.722926\pi\) |
0.999632 | + | 0.0271409i | \(0.00864026\pi\) | |||||||
\(434\) | 3.94366 | − | 25.3353i | 0.189302 | − | 1.21613i | ||||
\(435\) | 7.89750 | − | 2.28335i | 0.378656 | − | 0.109478i | ||||
\(436\) | −0.642646 | − | 8.57552i | −0.0307772 | − | 0.410693i | ||||
\(437\) | 1.11431 | + | 4.88212i | 0.0533047 | + | 0.233543i | ||||
\(438\) | 8.26311 | + | 17.9676i | 0.394827 | + | 0.858525i | ||||
\(439\) | 15.6273 | + | 12.4623i | 0.745849 | + | 0.594795i | 0.920916 | − | 0.389762i | \(-0.127443\pi\) |
−0.175066 | + | 0.984557i | \(0.556014\pi\) | |||||||
\(440\) | −2.59678 | −0.123797 | ||||||||
\(441\) | 13.8209 | − | 15.8109i | 0.658137 | − | 0.752898i | ||||
\(442\) | 3.05908 | 0.145506 | ||||||||
\(443\) | 2.66216 | + | 2.12300i | 0.126483 | + | 0.100867i | 0.684688 | − | 0.728836i | \(-0.259938\pi\) |
−0.558205 | + | 0.829703i | \(0.688510\pi\) | |||||||
\(444\) | 5.58851 | − | 7.89212i | 0.265219 | − | 0.374543i | ||||
\(445\) | −2.05894 | − | 9.02080i | −0.0976030 | − | 0.427627i | ||||
\(446\) | 0.462322 | + | 6.16926i | 0.0218916 | + | 0.292123i | ||||
\(447\) | 5.72995 | − | 23.1984i | 0.271017 | − | 1.09725i | ||||
\(448\) | 2.45817 | + | 0.978462i | 0.116138 | + | 0.0462280i | ||||
\(449\) | 12.6373 | − | 26.2416i | 0.596392 | − | 1.23842i | −0.356269 | − | 0.934383i | \(-0.615951\pi\) |
0.952660 | − | 0.304036i | \(-0.0983344\pi\) | |||||||
\(450\) | −10.4488 | − | 8.95747i | −0.492561 | − | 0.422259i | ||||
\(451\) | 10.4897 | − | 15.3856i | 0.493942 | − | 0.724479i | ||||
\(452\) | −0.939949 | + | 0.368903i | −0.0442115 | + | 0.0173517i | ||||
\(453\) | 10.7627 | + | 4.44612i | 0.505678 | + | 0.208897i | ||||
\(454\) | 26.8863 | − | 10.5521i | 1.26184 | − | 0.495234i | ||||
\(455\) | −2.49121 | − | 1.71612i | −0.116790 | − | 0.0804531i | ||||
\(456\) | 3.60259 | − | 1.99555i | 0.168707 | − | 0.0934500i | ||||
\(457\) | −1.84193 | + | 0.887025i | −0.0861616 | + | 0.0414933i | −0.476468 | − | 0.879192i | \(-0.658083\pi\) |
0.390307 | + | 0.920685i | \(0.372369\pi\) | |||||||
\(458\) | −26.9541 | + | 8.31424i | −1.25948 | + | 0.388499i | ||||
\(459\) | 8.92580 | − | 0.192344i | 0.416621 | − | 0.00897787i | ||||
\(460\) | 1.17130 | + | 0.676250i | 0.0546121 | + | 0.0315303i | ||||
\(461\) | 38.8455 | − | 11.9823i | 1.80922 | − | 0.558069i | 0.809632 | − | 0.586937i | \(-0.199666\pi\) |
0.999583 | + | 0.0288681i | \(0.00919029\pi\) | |||||||
\(462\) | 18.3809 | − | 2.34753i | 0.855156 | − | 0.109217i | ||||
\(463\) | 3.26564 | + | 1.00732i | 0.151767 | + | 0.0468140i | 0.369708 | − | 0.929148i | \(-0.379458\pi\) |
−0.217941 | + | 0.975962i | \(0.569934\pi\) | |||||||
\(464\) | −5.02708 | − | 5.41791i | −0.233376 | − | 0.251520i | ||||
\(465\) | −10.7779 | − | 0.191341i | −0.499811 | − | 0.00887323i | ||||
\(466\) | −11.7375 | + | 1.76915i | −0.543730 | + | 0.0819541i | ||||
\(467\) | 11.6547 | + | 3.59500i | 0.539315 | + | 0.166357i | 0.552433 | − | 0.833557i | \(-0.313699\pi\) |
−0.0131179 | + | 0.999914i | \(0.504176\pi\) | |||||||
\(468\) | −2.14522 | − | 4.89156i | −0.0991630 | − | 0.226112i | ||||
\(469\) | 10.3094 | − | 5.88609i | 0.476046 | − | 0.271794i | ||||
\(470\) | −0.600422 | − | 1.94652i | −0.0276954 | − | 0.0897863i | ||||
\(471\) | −12.9489 | − | 34.7972i | −0.596654 | − | 1.60337i | ||||
\(472\) | 5.40490i | 0.248781i | ||||||||
\(473\) | 49.1020 | + | 11.2072i | 2.25771 | + | 0.515308i | ||||
\(474\) | 15.9184 | + | 15.3048i | 0.731157 | + | 0.702974i | ||||
\(475\) | 10.1540 | + | 3.98517i | 0.465899 | + | 0.182852i | ||||
\(476\) | −3.92582 | − | 2.29187i | −0.179940 | − | 0.105048i | ||||
\(477\) | 8.36360 | + | 13.2547i | 0.382943 | + | 0.606891i | ||||
\(478\) | 6.80824 | + | 6.31712i | 0.311401 | + | 0.288938i | ||||
\(479\) | 4.55975 | + | 11.6181i | 0.208340 | + | 0.530842i | 0.996402 | − | 0.0847539i | \(-0.0270104\pi\) |
−0.788062 | + | 0.615596i | \(0.788915\pi\) | |||||||
\(480\) | 0.266722 | − | 1.07986i | 0.0121741 | − | 0.0492885i | ||||
\(481\) | 9.25337 | + | 3.63168i | 0.421918 | + | 0.165590i | ||||
\(482\) | 8.93942 | − | 6.09479i | 0.407179 | − | 0.277610i | ||||
\(483\) | −8.90219 | − | 3.72785i | −0.405064 | − | 0.169623i | ||||
\(484\) | 4.42107 | + | 3.01423i | 0.200958 | + | 0.137011i | ||||
\(485\) | 1.54610 | + | 2.26771i | 0.0702048 | + | 0.102972i | ||||
\(486\) | −6.56691 | − | 14.1377i | −0.297881 | − | 0.641301i | ||||
\(487\) | 0.115293 | + | 1.53848i | 0.00522443 | + | 0.0697152i | 0.999207 | − | 0.0398268i | \(-0.0126806\pi\) |
−0.993982 | + | 0.109542i | \(0.965062\pi\) | |||||||
\(488\) | 0.760018 | − | 0.953032i | 0.0344044 | − | 0.0431417i | ||||
\(489\) | −3.86737 | + | 22.8932i | −0.174889 | + | 1.03527i | ||||
\(490\) | 1.91132 | + | 4.06878i | 0.0863447 | + | 0.183809i | ||||
\(491\) | 20.7919 | + | 12.0042i | 0.938326 | + | 0.541743i | 0.889435 | − | 0.457062i | \(-0.151098\pi\) |
0.0488906 | + | 0.998804i | \(0.484431\pi\) | |||||||
\(492\) | 5.32059 | + | 5.94239i | 0.239871 | + | 0.267904i | ||||
\(493\) | 7.15349 | + | 10.4922i | 0.322177 | + | 0.472547i | ||||
\(494\) | 2.87944 | + | 3.10329i | 0.129552 | + | 0.139624i | ||||
\(495\) | −2.03056 | − | 7.52105i | −0.0912669 | − | 0.338046i | ||||
\(496\) | 4.20483 | + | 8.73143i | 0.188803 | + | 0.392053i | ||||
\(497\) | −4.59453 | + | 4.22207i | −0.206093 | + | 0.189386i | ||||
\(498\) | 16.2957 | − | 7.49422i | 0.730227 | − | 0.335824i | ||||
\(499\) | −12.9759 | + | 33.0619i | −0.580879 | + | 1.48006i | 0.274259 | + | 0.961656i | \(0.411567\pi\) |
−0.855138 | + | 0.518400i | \(0.826528\pi\) | |||||||
\(500\) | 5.54733 | − | 2.67145i | 0.248084 | − | 0.119471i | ||||
\(501\) | −4.50725 | − | 5.03399i | −0.201369 | − | 0.224902i | ||||
\(502\) | 16.9372 | + | 3.86581i | 0.755944 | + | 0.172539i | ||||
\(503\) | 5.03885 | − | 6.31852i | 0.224671 | − | 0.281729i | −0.656701 | − | 0.754151i | \(-0.728049\pi\) |
0.881373 | + | 0.472422i | \(0.156620\pi\) | |||||||
\(504\) | −0.911740 | + | 7.88471i | −0.0406121 | + | 0.351213i | ||||
\(505\) | −5.62152 | − | 7.04916i | −0.250154 | − | 0.313683i | ||||
\(506\) | −3.69501 | − | 7.67277i | −0.164263 | − | 0.341096i | ||||
\(507\) | −13.4979 | + | 10.3777i | −0.599465 | + | 0.460890i | ||||
\(508\) | −5.01516 | −0.222512 | ||||||||
\(509\) | −4.27902 | − | 7.41149i | −0.189664 | − | 0.328508i | 0.755474 | − | 0.655179i | \(-0.227407\pi\) |
−0.945138 | + | 0.326670i | \(0.894073\pi\) | |||||||
\(510\) | −0.729685 | + | 1.76635i | −0.0323110 | + | 0.0782154i | ||||
\(511\) | 29.8932 | − | 4.35842i | 1.32240 | − | 0.192805i | ||||
\(512\) | −0.974928 | + | 0.222521i | −0.0430861 | + | 0.00983413i | ||||
\(513\) | 8.59676 | + | 8.87376i | 0.379556 | + | 0.391786i | ||||
\(514\) | 9.57080 | + | 3.75626i | 0.422150 | + | 0.165682i | ||||
\(515\) | −0.417024 | − | 2.76678i | −0.0183763 | − | 0.121919i | ||||
\(516\) | −9.70386 | + | 19.2677i | −0.427189 | + | 0.848213i | ||||
\(517\) | −3.78061 | + | 12.2564i | −0.166271 | + | 0.539037i | ||||
\(518\) | −9.15430 | − | 11.5933i | −0.402217 | − | 0.509381i | ||||
\(519\) | 2.24630 | + | 16.9381i | 0.0986015 | + | 0.743502i | ||||
\(520\) | 1.14338 | 0.0501404 | ||||||||
\(521\) | −2.69737 | − | 4.67199i | −0.118174 | − | 0.204684i | 0.800870 | − | 0.598838i | \(-0.204371\pi\) |
−0.919044 | + | 0.394155i | \(0.871037\pi\) | |||||||
\(522\) | 11.7609 | − | 18.7965i | 0.514762 | − | 0.822700i | ||||
\(523\) | −1.08174 | − | 0.0810653i | −0.0473013 | − | 0.00354474i | 0.0510584 | − | 0.998696i | \(-0.483741\pi\) |
−0.0983597 | + | 0.995151i | \(0.531360\pi\) | |||||||
\(524\) | 2.74994 | − | 7.00672i | 0.120131 | − | 0.306090i | ||||
\(525\) | −17.6329 | + | 11.4476i | −0.769561 | + | 0.499615i | ||||
\(526\) | −5.83088 | − | 14.8568i | −0.254239 | − | 0.647789i | ||||
\(527\) | −4.90798 | − | 15.9113i | −0.213795 | − | 0.693106i | ||||
\(528\) | −5.21786 | + | 4.67188i | −0.227078 | + | 0.203317i | ||||
\(529\) | 1.38733 | − | 18.5126i | 0.0603185 | − | 0.804894i | ||||
\(530\) | −3.31751 | + | 0.500035i | −0.144104 | + | 0.0217201i | ||||
\(531\) | −15.6542 | + | 4.22638i | −0.679335 | + | 0.183409i | ||||
\(532\) | −1.37028 | − | 6.13985i | −0.0594091 | − | 0.266196i | ||||
\(533\) | −4.61869 | + | 6.77437i | −0.200058 | + | 0.293431i | ||||
\(534\) | −20.3665 | − | 14.4218i | −0.881345 | − | 0.624091i | ||||
\(535\) | −9.01361 | + | 2.05730i | −0.389693 | + | 0.0889448i | ||||
\(536\) | −1.94683 | + | 4.04262i | −0.0840901 | + | 0.174615i | ||||
\(537\) | −0.347328 | − | 1.65677i | −0.0149883 | − | 0.0714951i | ||||
\(538\) | −4.60921 | + | 2.66113i | −0.198717 | + | 0.114729i | ||||
\(539\) | 4.48831 | − | 27.9472i | 0.193325 | − | 1.20377i | ||||
\(540\) | 3.33615 | − | 0.0718917i | 0.143565 | − | 0.00309372i | ||||
\(541\) | 8.89428 | + | 22.6623i | 0.382395 | + | 0.974326i | 0.984417 | + | 0.175847i | \(0.0562665\pi\) |
−0.602023 | + | 0.798479i | \(0.705638\pi\) | |||||||
\(542\) | 13.0455 | − | 8.89428i | 0.560353 | − | 0.382042i | ||||
\(543\) | −31.1253 | + | 20.4212i | −1.33572 | + | 0.876355i | ||||
\(544\) | 1.71336 | − | 0.128399i | 0.0734599 | − | 0.00550506i | ||||
\(545\) | −0.412702 | + | 5.50713i | −0.0176782 | + | 0.235900i | ||||
\(546\) | −8.09321 | + | 1.03363i | −0.346358 | + | 0.0442354i | ||||
\(547\) | 1.60242 | + | 21.3829i | 0.0685147 | + | 0.914265i | 0.920511 | + | 0.390717i | \(0.127773\pi\) |
−0.851996 | + | 0.523548i | \(0.824608\pi\) | |||||||
\(548\) | −1.71351 | − | 11.3684i | −0.0731977 | − | 0.485635i | ||||
\(549\) | 3.35457 | + | 1.45601i | 0.143169 | + | 0.0621411i | ||||
\(550\) | −18.3433 | − | 2.76480i | −0.782159 | − | 0.117892i | ||||
\(551\) | −3.91049 | + | 17.1330i | −0.166592 | + | 0.729889i | ||||
\(552\) | 3.57021 | − | 0.748461i | 0.151958 | − | 0.0318566i | ||||
\(553\) | 29.2933 | − | 16.7247i | 1.24568 | − | 0.711208i | ||||
\(554\) | −0.0415271 | − | 0.275514i | −0.00176432 | − | 0.0117055i | ||||
\(555\) | −4.30420 | + | 4.47675i | −0.182703 | + | 0.190028i | ||||
\(556\) | 2.69354 | − | 2.90294i | 0.114231 | − | 0.123112i | ||||
\(557\) | 29.0285 | − | 16.7596i | 1.22998 | − | 0.710127i | 0.262951 | − | 0.964809i | \(-0.415304\pi\) |
0.967025 | + | 0.254683i | \(0.0819711\pi\) | |||||||
\(558\) | −22.0008 | + | 19.0060i | −0.931370 | + | 0.804589i | ||||
\(559\) | −21.6199 | − | 4.93461i | −0.914425 | − | 0.208712i | ||||
\(560\) | −1.46734 | − | 0.856623i | −0.0620062 | − | 0.0361989i | ||||
\(561\) | 10.0614 | − | 6.60123i | 0.424793 | − | 0.278704i | ||||
\(562\) | −6.85017 | + | 6.35602i | −0.288957 | + | 0.268113i | ||||
\(563\) | 2.70309 | + | 3.38957i | 0.113922 | + | 0.142853i | 0.835523 | − | 0.549456i | \(-0.185165\pi\) |
−0.721601 | + | 0.692309i | \(0.756593\pi\) | |||||||
\(564\) | −4.70846 | − | 2.83104i | −0.198262 | − | 0.119208i | ||||
\(565\) | 0.632195 | − | 0.144294i | 0.0265966 | − | 0.00607051i | ||||
\(566\) | −2.05549 | − | 9.00571i | −0.0863989 | − | 0.378538i | ||||
\(567\) | −23.5494 | + | 3.52481i | −0.988983 | + | 0.148028i | ||||
\(568\) | 0.524802 | − | 2.29931i | 0.0220202 | − | 0.0964768i | ||||
\(569\) | − | 39.4744i | − | 1.65485i | −0.561573 | − | 0.827427i | \(-0.689804\pi\) | ||
0.561573 | − | 0.827427i | \(-0.310196\pi\) | |||||||
\(570\) | −2.47872 | + | 0.922393i | −0.103822 | + | 0.0386348i | ||||
\(571\) | −6.16773 | + | 27.0226i | −0.258112 | + | 1.13086i | 0.665156 | + | 0.746704i | \(0.268365\pi\) |
−0.923268 | + | 0.384156i | \(0.874492\pi\) | |||||||
\(572\) | −5.94840 | − | 4.05555i | −0.248715 | − | 0.169571i | ||||
\(573\) | 0.0837103 | − | 0.139223i | 0.00349705 | − | 0.00581614i | ||||
\(574\) | 11.0027 | − | 5.23344i | 0.459244 | − | 0.218440i | ||||
\(575\) | 7.55388 | + | 6.02402i | 0.315018 | + | 0.251219i | ||||
\(576\) | −1.40684 | − | 2.64968i | −0.0586182 | − | 0.110403i | ||||
\(577\) | 4.76080 | − | 31.5859i | 0.198195 | − | 1.31494i | −0.639497 | − | 0.768794i | \(-0.720857\pi\) |
0.837692 | − | 0.546143i | \(-0.183905\pi\) | |||||||
\(578\) | 14.0086 | + | 1.04980i | 0.582682 | + | 0.0436659i | ||||
\(579\) | −14.2533 | − | 8.57002i | −0.592346 | − | 0.356158i | ||||
\(580\) | 2.67373 | + | 3.92164i | 0.111020 | + | 0.162837i | ||||
\(581\) | −3.95286 | − | 27.1116i | −0.163992 | − | 1.12478i | ||||
\(582\) | 7.18652 | + | 1.77505i | 0.297891 | + | 0.0735783i | ||||
\(583\) | 19.0329 | + | 9.16577i | 0.788263 | + | 0.379608i | ||||
\(584\) | −8.37000 | + | 7.76623i | −0.346353 | + | 0.321369i | ||||
\(585\) | 0.894068 | + | 3.31156i | 0.0369652 | + | 0.136916i | ||||
\(586\) | 2.65198 | − | 1.04082i | 0.109552 | − | 0.0429960i | ||||
\(587\) | 9.27932 | + | 16.0723i | 0.382999 | + | 0.663373i | 0.991489 | − | 0.130188i | \(-0.0415581\pi\) |
−0.608491 | + | 0.793561i | \(0.708225\pi\) | |||||||
\(588\) | 11.1607 | + | 4.73697i | 0.460259 | + | 0.195349i | ||||
\(589\) | 11.5215 | − | 19.9558i | 0.474735 | − | 0.822265i | ||||
\(590\) | 0.517323 | − | 3.43222i | 0.0212979 | − | 0.141302i | ||||
\(591\) | −3.55949 | + | 38.3499i | −0.146418 | + | 1.57750i | ||||
\(592\) | 5.33517 | + | 1.64568i | 0.219274 | + | 0.0676371i | ||||
\(593\) | −14.6360 | + | 9.97868i | −0.601030 | + | 0.409775i | −0.825253 | − | 0.564762i | \(-0.808968\pi\) |
0.224224 | + | 0.974538i | \(0.428015\pi\) | |||||||
\(594\) | −17.6113 | − | 11.4593i | −0.722600 | − | 0.470181i | ||||
\(595\) | 2.27361 | + | 1.83114i | 0.0932088 | + | 0.0750694i | ||||
\(596\) | 13.7575 | − | 1.03099i | 0.563531 | − | 0.0422308i | ||||
\(597\) | −6.83693 | − | 0.121377i | −0.279817 | − | 0.00496764i | ||||
\(598\) | 1.62694 | + | 3.37837i | 0.0665303 | + | 0.138152i | ||||
\(599\) | −8.55061 | − | 6.81888i | −0.349368 | − | 0.278612i | 0.433044 | − | 0.901373i | \(-0.357440\pi\) |
−0.782412 | + | 0.622761i | \(0.786011\pi\) | |||||||
\(600\) | 3.03381 | − | 7.34397i | 0.123855 | − | 0.299816i | ||||
\(601\) | −1.93682 | + | 12.8500i | −0.0790047 | + | 0.524162i | 0.913965 | + | 0.405793i | \(0.133005\pi\) |
−0.992970 | + | 0.118369i | \(0.962233\pi\) | |||||||
\(602\) | 24.0486 | + | 22.5305i | 0.980146 | + | 0.918274i | ||||
\(603\) | −13.2310 | − | 2.47744i | −0.538807 | − | 0.100889i | ||||
\(604\) | −0.502426 | + | 6.70441i | −0.0204434 | + | 0.272798i | ||||
\(605\) | −2.51896 | − | 2.33725i | −0.102410 | − | 0.0950229i | ||||
\(606\) | −23.9778 | − | 4.05060i | −0.974032 | − | 0.164544i | ||||
\(607\) | 0.774821 | − | 0.447343i | 0.0314490 | − | 0.0181571i | −0.484193 | − | 0.874961i | \(-0.660887\pi\) |
0.515642 | + | 0.856804i | \(0.327553\pi\) | |||||||
\(608\) | 1.74300 | + | 1.61727i | 0.0706881 | + | 0.0655890i | ||||
\(609\) | −22.4708 | − | 25.3416i | −0.910561 | − | 1.02689i | ||||
\(610\) | −0.573844 | + | 0.532450i | −0.0232343 | + | 0.0215583i | ||||
\(611\) | 1.66462 | − | 5.39658i | 0.0673435 | − | 0.218322i | ||||
\(612\) | 1.71165 | + | 4.86202i | 0.0691895 | + | 0.196535i | ||||
\(613\) | −9.77292 | + | 24.9010i | −0.394724 | + | 1.00574i | 0.585994 | + | 0.810315i | \(0.300704\pi\) |
−0.980718 | + | 0.195426i | \(0.937391\pi\) | |||||||
\(614\) | 6.23810 | + | 27.3309i | 0.251749 | + | 1.10299i | ||||
\(615\) | −2.80991 | − | 4.28279i | −0.113307 | − | 0.172699i | ||||
\(616\) | 4.59535 | + | 9.66119i | 0.185152 | + | 0.389261i | ||||
\(617\) | −28.4588 | + | 30.6713i | −1.14571 | + | 1.23478i | −0.177642 | + | 0.984095i | \(0.556847\pi\) |
−0.968068 | + | 0.250686i | \(0.919344\pi\) | |||||||
\(618\) | −5.81567 | − | 4.80918i | −0.233941 | − | 0.193453i | ||||
\(619\) | −7.09966 | − | 4.09899i | −0.285359 | − | 0.164752i | 0.350488 | − | 0.936567i | \(-0.386016\pi\) |
−0.635847 | + | 0.771815i | \(0.719349\pi\) | |||||||
\(620\) | −1.83443 | − | 5.94708i | −0.0736726 | − | 0.238841i | ||||
\(621\) | 4.95950 | + | 9.75512i | 0.199018 | + | 0.391460i | ||||
\(622\) | 5.06924 | − | 4.04258i | 0.203258 | − | 0.162093i | ||||
\(623\) | −29.9179 | + | 23.6237i | −1.19863 | + | 0.946463i | ||||
\(624\) | 2.29746 | − | 2.05706i | 0.0919719 | − | 0.0823481i | ||||
\(625\) | 18.1405 | − | 5.59561i | 0.725621 | − | 0.223824i | ||||
\(626\) | −14.0396 | + | 17.6051i | −0.561135 | + | 0.703641i | ||||
\(627\) | 16.1672 | + | 3.99326i | 0.645656 | + | 0.159475i | ||||
\(628\) | 16.7594 | − | 13.3652i | 0.668774 | − | 0.533329i | ||||
\(629\) | −8.64292 | − | 4.16221i | −0.344616 | − | 0.165958i | ||||
\(630\) | 1.33365 | − | 4.91968i | 0.0531338 | − | 0.196005i | ||||
\(631\) | −1.86031 | + | 0.895878i | −0.0740578 | + | 0.0356644i | −0.470546 | − | 0.882375i | \(-0.655943\pi\) |
0.396488 | + | 0.918040i | \(0.370229\pi\) | |||||||
\(632\) | −5.53171 | + | 11.4867i | −0.220040 | + | 0.456917i | ||||
\(633\) | −44.8376 | + | 2.56070i | −1.78213 | + | 0.101779i | ||||
\(634\) | 12.5770 | + | 6.05676i | 0.499496 | + | 0.240545i | ||||
\(635\) | 3.18473 | + | 0.480020i | 0.126382 | + | 0.0190490i | ||||
\(636\) | −5.76646 | + | 6.97330i | −0.228655 | + | 0.276510i | ||||
\(637\) | −1.97623 | + | 12.3053i | −0.0783011 | + | 0.487555i | ||||
\(638\) | − | 29.8859i | − | 1.18320i | ||||||
\(639\) | 7.06985 | − | 0.277969i | 0.279679 | − | 0.0109963i | ||||
\(640\) | 0.640396 | − | 0.0479911i | 0.0253139 | − | 0.00189701i | ||||
\(641\) | 4.43898 | − | 14.3908i | 0.175329 | − | 0.568403i | −0.824667 | − | 0.565618i | \(-0.808638\pi\) |
0.999996 | − | 0.00278434i | \(-0.000886283\pi\) | |||||||
\(642\) | −14.4103 | + | 20.3503i | −0.568729 | + | 0.803162i | ||||
\(643\) | −42.3935 | − | 3.17695i | −1.67184 | − | 0.125287i | −0.795170 | − | 0.606387i | \(-0.792618\pi\) |
−0.876666 | + | 0.481100i | \(0.840237\pi\) | |||||||
\(644\) | 0.443184 | − | 5.55448i | 0.0174639 | − | 0.218877i | ||||
\(645\) | 8.00633 | − | 11.3066i | 0.315249 | − | 0.445196i | ||||
\(646\) | −2.54717 | − | 3.19406i | −0.100217 | − | 0.125668i | ||||
\(647\) | −28.9245 | − | 19.7204i | −1.13714 | − | 0.775288i | −0.159837 | − | 0.987143i | \(-0.551097\pi\) |
−0.977301 | + | 0.211856i | \(0.932049\pi\) | |||||||
\(648\) | 6.57419 | − | 6.14655i | 0.258259 | − | 0.241459i | ||||
\(649\) | −14.8654 | + | 16.0211i | −0.583518 | + | 0.628883i | ||||
\(650\) | 8.07665 | + | 1.21736i | 0.316792 | + | 0.0477487i | ||||
\(651\) | 18.3610 | + | 40.4371i | 0.719624 | + | 1.58486i | ||||
\(652\) | −13.2550 | + | 1.99786i | −0.519104 | + | 0.0782423i | ||||
\(653\) | 26.0315 | − | 38.1812i | 1.01869 | − | 1.49414i | 0.156424 | − | 0.987690i | \(-0.450003\pi\) |
0.862267 | − | 0.506455i | \(-0.169044\pi\) | |||||||
\(654\) | 9.07864 | + | 11.8083i | 0.355003 | + | 0.461741i | ||||
\(655\) | −2.41690 | + | 4.18620i | −0.0944362 | + | 0.163568i | ||||
\(656\) | −2.30255 | + | 3.98813i | −0.0898994 | + | 0.155710i | ||||
\(657\) | −29.0383 | − | 18.1692i | −1.13289 | − | 0.708848i | ||||
\(658\) | −6.17941 | + | 5.67847i | −0.240898 | + | 0.221370i | ||||
\(659\) | −10.7026 | − | 11.5347i | −0.416916 | − | 0.449328i | 0.489318 | − | 0.872105i | \(-0.337246\pi\) |
−0.906234 | + | 0.422777i | \(0.861055\pi\) | |||||||
\(660\) | 3.76061 | − | 2.46731i | 0.146381 | − | 0.0960400i | ||||
\(661\) | 35.5241 | − | 28.3295i | 1.38173 | − | 1.10189i | 0.398976 | − | 0.916961i | \(-0.369366\pi\) |
0.982752 | − | 0.184930i | \(-0.0592058\pi\) | |||||||
\(662\) | 2.27740 | − | 1.81617i | 0.0885137 | − | 0.0705873i | ||||
\(663\) | −4.43010 | + | 2.90656i | −0.172051 | + | 0.112882i | ||||
\(664\) | 7.04357 | + | 7.59116i | 0.273344 | + | 0.294594i | ||||
\(665\) | 0.282485 | + | 4.03008i | 0.0109543 | + | 0.156280i | ||||
\(666\) | −0.594531 | + | 16.7391i | −0.0230376 | + | 0.648627i | ||||
\(667\) | −7.78286 | + | 13.4803i | −0.301353 | + | 0.521959i | ||||
\(668\) | 1.95056 | − | 3.37847i | 0.0754696 | − | 0.130717i | ||||
\(669\) | −6.53121 | − | 8.49494i | −0.252511 | − | 0.328433i | ||||
\(670\) | 1.62321 | − | 2.38081i | 0.0627099 | − | 0.0919786i | ||||
\(671\) | 4.87401 | − | 0.734639i | 0.188159 | − | 0.0283604i | ||||
\(672\) | −4.48956 | + | 0.918626i | −0.173188 | + | 0.0354368i | ||||
\(673\) | −30.2249 | − | 4.55568i | −1.16509 | − | 0.175608i | −0.462110 | − | 0.886823i | \(-0.652908\pi\) |
−0.702975 | + | 0.711214i | \(0.748146\pi\) | |||||||
\(674\) | 14.3162 | − | 15.4292i | 0.551438 | − | 0.594309i | ||||
\(675\) | 23.6426 | + | 3.04419i | 0.910006 | + | 0.117171i | ||||
\(676\) | −8.12199 | − | 5.53748i | −0.312384 | − | 0.212980i | ||||
\(677\) | −25.2681 | − | 31.6852i | −0.971132 | − | 1.21776i | −0.975999 | − | 0.217773i | \(-0.930121\pi\) |
0.00486725 | − | 0.999988i | \(-0.498451\pi\) | |||||||
\(678\) | 1.01071 | − | 1.42732i | 0.0388159 | − | 0.0548161i | ||||
\(679\) | 5.70088 | − | 9.76521i | 0.218780 | − | 0.374754i | ||||
\(680\) | −1.10031 | − | 0.0824568i | −0.0421949 | − | 0.00316207i | ||||
\(681\) | −28.9102 | + | 40.8272i | −1.10784 | + | 1.56450i | ||||
\(682\) | −11.5507 | + | 37.4463i | −0.442298 | + | 1.43389i | ||||
\(683\) | 33.2638 | − | 2.49278i | 1.27281 | − | 0.0953836i | 0.578869 | − | 0.815420i | \(-0.303494\pi\) |
0.693936 | + | 0.720037i | \(0.255875\pi\) | |||||||
\(684\) | −3.32115 | + | 6.31289i | −0.126987 | + | 0.241379i | ||||
\(685\) | 7.38317i | 0.282097i | ||||||||
\(686\) | 11.7554 | − | 14.3112i | 0.448822 | − | 0.546406i | ||||
\(687\) | 31.1347 | − | 37.6508i | 1.18786 | − | 1.43647i | ||||
\(688\) | −12.3163 | − | 1.85638i | −0.469553 | − | 0.0707737i | ||||
\(689\) | −8.38031 | − | 4.03575i | −0.319265 | − | 0.153750i | ||||
\(690\) | −2.33879 | + | 0.133569i | −0.0890361 | + | 0.00508490i | ||||
\(691\) | 8.15144 | − | 16.9266i | 0.310095 | − | 0.643920i | −0.686431 | − | 0.727195i | \(-0.740824\pi\) |
0.996527 | + | 0.0832749i | \(0.0265380\pi\) | |||||||
\(692\) | −8.88793 | + | 4.28020i | −0.337868 | + | 0.162709i | ||||
\(693\) | −24.3884 | + | 20.8641i | −0.926437 | + | 0.792562i | ||||
\(694\) | −27.9087 | − | 13.4401i | −1.05940 | − | 0.510181i | ||||
\(695\) | −1.98830 | + | 1.58562i | −0.0754205 | + | 0.0601459i | ||||
\(696\) | 12.4279 | + | 3.06966i | 0.471079 | + | 0.116355i | ||||
\(697\) | 4.93326 | − | 6.18611i | 0.186861 | − | 0.234316i | ||||
\(698\) | −35.2432 | + | 10.8711i | −1.33398 | + | 0.411477i | ||||
\(699\) | 15.3171 | − | 13.7144i | 0.579346 | − | 0.518725i | ||||
\(700\) | −9.45299 | − | 7.61334i | −0.357289 | − | 0.287757i | ||||
\(701\) | −33.9610 | + | 27.0830i | −1.28269 | + | 1.02291i | −0.284758 | + | 0.958599i | \(0.591913\pi\) |
−0.997930 | + | 0.0643099i | \(0.979515\pi\) | |||||||
\(702\) | 7.75435 | + | 5.04560i | 0.292669 | + | 0.190434i | ||||
\(703\) | −3.91300 | − | 12.6856i | −0.147581 | − | 0.478447i | ||||
\(704\) | −3.50187 | − | 2.02181i | −0.131982 | − | 0.0761998i | ||||
\(705\) | 2.71899 | + | 2.24843i | 0.102403 | + | 0.0846807i | ||||
\(706\) | −22.9630 | + | 24.7482i | −0.864223 | + | 0.931411i | ||||
\(707\) | −16.2780 | + | 33.3890i | −0.612198 | + | 1.25572i | ||||
\(708\) | −5.13543 | − | 7.82727i | −0.193001 | − | 0.294167i | ||||
\(709\) | 2.65134 | + | 11.6163i | 0.0995733 | + | 0.436259i | 0.999999 | + | 0.00124967i | \(0.000397783\pi\) |
−0.900426 | + | 0.435009i | \(0.856745\pi\) | |||||||
\(710\) | −0.553335 | + | 1.40987i | −0.0207663 | + | 0.0529116i | ||||
\(711\) | −37.5945 | − | 7.03941i | −1.40990 | − | 0.263998i | ||||
\(712\) | 4.24687 | − | 13.7680i | 0.159158 | − | 0.515978i | ||||
\(713\) | 14.9617 | − | 13.8825i | 0.560322 | − | 0.519903i | ||||
\(714\) | 7.86290 | − | 0.411041i | 0.294262 | − | 0.0153828i | ||||
\(715\) | 3.38918 | + | 3.14470i | 0.126748 | + | 0.117605i | ||||
\(716\) | 0.846395 | − | 0.488666i | 0.0316313 | − | 0.0182623i | ||||
\(717\) | −15.8617 | − | 2.67954i | −0.592367 | − | 0.100069i | ||||
\(718\) | −0.333164 | − | 0.309131i | −0.0124336 | − | 0.0115367i | ||||
\(719\) | 3.25437 | − | 43.4265i | 0.121368 | − | 1.61954i | −0.521287 | − | 0.853381i | \(-0.674548\pi\) |
0.642655 | − | 0.766156i | \(-0.277833\pi\) | |||||||
\(720\) | 0.639757 | + | 1.81725i | 0.0238423 | + | 0.0677250i | ||||
\(721\) | −9.55568 | + | 6.44770i | −0.355872 | + | 0.240125i | ||||
\(722\) | −1.98917 | + | 13.1973i | −0.0740294 | + | 0.491153i | ||||
\(723\) | −7.15497 | + | 17.3201i | −0.266096 | + | 0.644141i | ||||
\(724\) | −16.8037 | − | 13.4005i | −0.624504 | − | 0.498025i | ||||
\(725\) | 14.7114 | + | 30.5486i | 0.546369 | + | 1.13455i | ||||
\(726\) | −9.26646 | − | 0.164509i | −0.343911 | − | 0.00610550i | ||||
\(727\) | −17.0170 | + | 1.27525i | −0.631124 | + | 0.0472962i | −0.386452 | − | 0.922310i | \(-0.626299\pi\) |
−0.244673 | + | 0.969606i | \(0.578680\pi\) | |||||||
\(728\) | −2.02336 | − | 4.25388i | −0.0749907 | − | 0.157659i | ||||
\(729\) | 22.9429 | + | 14.2345i | 0.849739 | + | 0.527204i | ||||
\(730\) | 6.05845 | − | 4.13058i | 0.224233 | − | 0.152880i | ||||
\(731\) | 20.4497 | + | 6.30789i | 0.756359 | + | 0.233306i | ||||
\(732\) | −0.195127 | + | 2.10229i | −0.00721209 | + | 0.0777028i | ||||
\(733\) | 1.61239 | − | 10.6975i | 0.0595551 | − | 0.395122i | −0.939117 | − | 0.343598i | \(-0.888354\pi\) |
0.998672 | − | 0.0515238i | \(-0.0164078\pi\) | |||||||
\(734\) | 8.01272 | − | 13.8784i | 0.295755 | − | 0.512263i | ||||
\(735\) | −6.63386 | − | 4.07630i | −0.244694 | − | 0.150357i | ||||
\(736\) | 1.05303 | + | 1.82391i | 0.0388153 | + | 0.0672301i | ||||
\(737\) | −16.8894 | + | 6.62860i | −0.622129 | + | 0.244168i | ||||
\(738\) | −13.3513 | − | 3.55033i | −0.491468 | − | 0.130690i | ||||
\(739\) | −4.91811 | + | 4.56334i | −0.180916 | + | 0.167865i | −0.765432 | − | 0.643517i | \(-0.777475\pi\) |
0.584516 | + | 0.811382i | \(0.301284\pi\) | |||||||
\(740\) | −3.23042 | − | 1.55569i | −0.118753 | − | 0.0571883i | ||||
\(741\) | −7.11852 | − | 1.75826i | −0.261505 | − | 0.0645911i | ||||
\(742\) | 7.73114 | + | 11.4578i | 0.283819 | + | 0.420628i | ||||
\(743\) | 25.2550 | + | 37.0423i | 0.926517 | + | 1.35895i | 0.933347 | + | 0.358975i | \(0.116874\pi\) |
−0.00682995 | + | 0.999977i | \(0.502174\pi\) | |||||||
\(744\) | −14.3855 | − | 8.64949i | −0.527397 | − | 0.317106i | ||||
\(745\) | −8.83498 | − | 0.662091i | −0.323689 | − | 0.0242571i | ||||
\(746\) | 1.72287 | − | 11.4305i | 0.0630788 | − | 0.418501i | ||||
\(747\) | −16.4785 | + | 26.3362i | −0.602918 | + | 0.963592i | ||||
\(748\) | 5.43187 | + | 4.33177i | 0.198609 | + | 0.158385i | ||||
\(749\) | 23.6049 | + | 29.8941i | 0.862504 | + | 1.09230i | ||||
\(750\) | −5.49528 | + | 9.13951i | −0.200659 | + | 0.333728i | ||||
\(751\) | 23.3991 | + | 15.9533i | 0.853847 | + | 0.582143i | 0.909217 | − | 0.416323i | \(-0.136681\pi\) |
−0.0553699 | + | 0.998466i | \(0.517634\pi\) | |||||||
\(752\) | 0.705832 | − | 3.09245i | 0.0257390 | − | 0.112770i | ||||
\(753\) | −28.2012 | + | 10.4944i | −1.02771 | + | 0.382436i | ||||
\(754\) | 13.1590i | 0.479221i | ||||||||
\(755\) | 0.960754 | − | 4.20934i | 0.0349654 | − | 0.153194i | ||||
\(756\) | −6.17124 | − | 12.2848i | −0.224446 | − | 0.446793i | ||||
\(757\) | −2.51900 | − | 11.0365i | −0.0915548 | − | 0.401128i | 0.908297 | − | 0.418325i | \(-0.137383\pi\) |
−0.999852 | + | 0.0171975i | \(0.994526\pi\) | |||||||
\(758\) | −22.9240 | + | 5.23225i | −0.832637 | + | 0.190044i | ||||
\(759\) | 12.6413 | + | 7.60077i | 0.458849 | + | 0.275890i | ||||
\(760\) | −0.952046 | − | 1.19383i | −0.0345343 | − | 0.0433047i | ||||
\(761\) | 9.68378 | − | 8.98524i | 0.351037 | − | 0.325715i | −0.484870 | − | 0.874586i | \(-0.661133\pi\) |
0.835907 | + | 0.548872i | \(0.184942\pi\) | |||||||
\(762\) | 7.26286 | − | 4.76512i | 0.263106 | − | 0.172622i | ||||
\(763\) | 21.2193 | − | 8.21017i | 0.768192 | − | 0.297228i | ||||
\(764\) | 0.0914400 | + | 0.0208706i | 0.00330818 | + | 0.000755071i | ||||
\(765\) | −0.621572 | − | 3.25130i | −0.0224730 | − | 0.117551i | ||||
\(766\) | −3.24618 | + | 1.87418i | −0.117289 | + | 0.0677170i | ||||
\(767\) | 6.54533 | − | 7.05419i | 0.236338 | − | 0.254712i | ||||
\(768\) | 1.20045 | − | 1.24857i | 0.0433173 | − | 0.0450539i | ||||
\(769\) | 1.26940 | + | 8.42193i | 0.0457758 | + | 0.303703i | 0.999990 | + | 0.00457697i | \(0.00145690\pi\) |
−0.954214 | + | 0.299126i | \(0.903305\pi\) | |||||||
\(770\) | −1.99343 | − | 6.57488i | −0.0718381 | − | 0.236942i | ||||
\(771\) | −17.4292 | + | 3.65388i | −0.627699 | + | 0.131591i | ||||
\(772\) | 2.13667 | − | 9.36136i | 0.0769004 | − | 0.336923i | ||||
\(773\) | −13.8248 | − | 2.08375i | −0.497243 | − | 0.0749474i | −0.104367 | − | 0.994539i | \(-0.533282\pi\) |
−0.392876 | + | 0.919591i | \(0.628520\pi\) | |||||||
\(774\) | −4.25412 | − | 37.1232i | −0.152911 | − | 1.33437i | ||||
\(775\) | −6.62627 | − | 43.9624i | −0.238023 | − | 1.57918i | ||||
\(776\) | 0.319384 | + | 4.26188i | 0.0114652 | + | 0.152993i | ||||
\(777\) | 24.2724 | + | 8.09134i | 0.870767 | + | 0.290275i | ||||
\(778\) | −1.75173 | + | 23.3752i | −0.0628025 | + | 0.838041i | ||||
\(779\) | 10.9191 | − | 0.818272i | 0.391217 | − | 0.0293176i | ||||
\(780\) | −1.65582 | + | 1.08637i | −0.0592878 | + | 0.0388984i | ||||
\(781\) | 7.87953 | − | 5.37217i | 0.281952 | − | 0.192231i | ||||
\(782\) | −1.32202 | − | 3.36844i | −0.0472752 | − | 0.120455i | ||||
\(783\) | 0.827390 | + | 38.3953i | 0.0295685 | + | 1.37214i | ||||
\(784\) | −0.590378 | + | 6.97506i | −0.0210849 | + | 0.249109i | ||||
\(785\) | −11.9218 | + | 6.88305i | −0.425507 | + | 0.245667i | ||||
\(786\) | 2.67498 | + | 12.7598i | 0.0954135 | + | 0.455128i | ||||
\(787\) | 19.2788 | − | 40.0327i | 0.687213 | − | 1.42701i | −0.206533 | − | 0.978440i | \(-0.566218\pi\) |
0.893746 | − | 0.448573i | \(-0.148068\pi\) | |||||||
\(788\) | −21.6790 | + | 4.94808i | −0.772281 | + | 0.176268i | ||||
\(789\) | 22.5603 | + | 15.9752i | 0.803168 | + | 0.568733i | ||||
\(790\) | 4.61218 | − | 6.76483i | 0.164094 | − | 0.240682i | ||||
\(791\) | −1.65559 | − | 2.09670i | −0.0588662 | − | 0.0745502i | ||||
\(792\) | 3.11746 | − | 11.7234i | 0.110774 | − | 0.416574i | ||||
\(793\) | −2.14606 | + | 0.323466i | −0.0762087 | + | 0.0114866i | ||||
\(794\) | −0.167842 | + | 2.23970i | −0.00595649 | + | 0.0794838i | ||||
\(795\) | 4.32926 | − | 3.87625i | 0.153543 | − | 0.137477i | ||||
\(796\) | −1.16367 | − | 3.77253i | −0.0412453 | − | 0.133714i | ||||
\(797\) | 19.7056 | + | 50.2090i | 0.698007 | + | 1.77849i | 0.624261 | + | 0.781216i | \(0.285400\pi\) |
0.0737464 | + | 0.997277i | \(0.476504\pi\) | |||||||
\(798\) | 7.81814 | + | 7.58965i | 0.276759 | + | 0.268671i | ||||
\(799\) | −1.99111 | + | 5.07326i | −0.0704403 | + | 0.179479i | ||||
\(800\) | 4.57476 | + | 0.342831i | 0.161742 | + | 0.0121209i | ||||
\(801\) | 43.1971 | + | 1.53426i | 1.52630 | + | 0.0542102i | ||||
\(802\) | −11.2860 | − | 19.5479i | −0.398522 | − | 0.690261i | ||||
\(803\) | −46.1701 | −1.62931 | ||||||||
\(804\) | −1.02172 | − | 7.70421i | −0.0360331 | − | 0.271707i | ||||
\(805\) | −0.813071 | + | 3.48478i | −0.0286570 | + | 0.122822i | ||||
\(806\) | 5.08583 | − | 16.4878i | 0.179141 | − | 0.580759i | ||||
\(807\) | 4.14651 | − | 8.23320i | 0.145964 | − | 0.289822i | ||||
\(808\) | −2.09252 | − | 13.8829i | −0.0736144 | − | 0.488400i | ||||
\(809\) | 49.2204 | + | 19.3176i | 1.73050 | + | 0.679170i | 0.999993 | − | 0.00373913i | \(-0.00119021\pi\) |
0.730503 | + | 0.682909i | \(0.239285\pi\) | |||||||
\(810\) | −4.76305 | + | 3.27393i | −0.167356 | + | 0.115034i | ||||
\(811\) | −29.0501 | + | 6.63049i | −1.02009 | + | 0.232828i | −0.699683 | − | 0.714453i | \(-0.746675\pi\) |
−0.320403 | + | 0.947281i | \(0.603818\pi\) | |||||||
\(812\) | 9.85874 | − | 16.8873i | 0.345974 | − | 0.592629i | ||||
\(813\) | −10.4414 | + | 25.2756i | −0.366197 | + | 0.886456i | ||||
\(814\) | 11.2882 | + | 19.5517i | 0.395651 | + | 0.685288i | ||||
\(815\) | 8.60837 | 0.301538 | ||||||||
\(816\) | −2.35927 | + | 1.81389i | −0.0825908 | + | 0.0634987i | ||||
\(817\) | 12.8497 | + | 26.6827i | 0.449555 | + | 0.933510i | ||||
\(818\) | 17.6800 | + | 22.1700i | 0.618166 | + | 0.775156i | ||||
\(819\) | 10.7383 | − | 9.18660i | 0.375228 | − | 0.321006i | ||||
\(820\) | 1.84388 | − | 2.31215i | 0.0643911 | − | 0.0807439i | ||||
\(821\) | 24.7647 | + | 5.65239i | 0.864296 | + | 0.197270i | 0.631614 | − | 0.775283i | \(-0.282393\pi\) |
0.232682 | + | 0.972553i | \(0.425250\pi\) | |||||||
\(822\) | 13.2831 | + | 14.8354i | 0.463301 | + | 0.517446i | ||||
\(823\) | 6.30191 | − | 3.03484i | 0.219671 | − | 0.105788i | −0.320812 | − | 0.947143i | \(-0.603956\pi\) |
0.540483 | + | 0.841355i | \(0.318242\pi\) | |||||||
\(824\) | 1.59179 | − | 4.05581i | 0.0554526 | − | 0.141291i | ||||
\(825\) | 29.1913 | − | 13.4248i | 1.01631 | − | 0.467391i | ||||
\(826\) | −13.6849 | + | 4.14909i | −0.476157 | + | 0.144365i | ||||
\(827\) | −17.2375 | − | 35.7940i | −0.599407 | − | 1.24468i | −0.951192 | − | 0.308600i | \(-0.900140\pi\) |
0.351785 | − | 0.936081i | \(-0.385575\pi\) | |||||||
\(828\) | −4.45916 | + | 4.47611i | −0.154966 | + | 0.155556i | ||||
\(829\) | −12.7066 | − | 13.6945i | −0.441320 | − | 0.475630i | 0.472744 | − | 0.881200i | \(-0.343264\pi\) |
−0.914064 | + | 0.405570i | \(0.867073\pi\) | |||||||
\(830\) | −3.74623 | − | 5.49470i | −0.130033 | − | 0.190724i | ||||
\(831\) | 0.321917 | + | 0.359538i | 0.0111672 | + | 0.0124722i | ||||
\(832\) | 1.54190 | + | 0.890215i | 0.0534557 | + | 0.0308626i | ||||
\(833\) | 2.78921 | − | 11.6993i | 0.0966405 | − | 0.405356i | ||||
\(834\) | −1.14252 | + | 6.76323i | −0.0395622 | + | 0.234192i | ||||
\(835\) | −1.56201 | + | 1.95870i | −0.0540557 | + | 0.0677836i | ||||
\(836\) | 0.718504 | + | 9.58777i | 0.0248500 | + | 0.331600i | ||||
\(837\) | 13.8028 | − | 48.4281i | 0.477093 | − | 1.67392i | ||||
\(838\) | 12.0128 | + | 17.6196i | 0.414977 | + | 0.608659i | ||||
\(839\) | −8.86274 | − | 6.04252i | −0.305976 | − | 0.208611i | 0.400591 | − | 0.916257i | \(-0.368805\pi\) |
−0.706567 | + | 0.707646i | \(0.749757\pi\) | |||||||
\(840\) | 2.93888 | − | 0.153633i | 0.101401 | − | 0.00530083i | ||||
\(841\) | −21.1726 | + | 14.4352i | −0.730090 | + | 0.497767i | ||||
\(842\) | −10.9568 | − | 4.30022i | −0.377596 | − | 0.148195i | ||||
\(843\) | 3.88115 | − | 15.7133i | 0.133674 | − | 0.541195i | ||||
\(844\) | −9.47299 | − | 24.1368i | −0.326074 | − | 0.830822i | ||||
\(845\) | 4.62761 | + | 4.29379i | 0.159194 | + | 0.147711i | ||||
\(846\) | 9.50859 | − | 0.373854i | 0.326912 | − | 0.0128534i | ||||
\(847\) | −4.23800 | + | 13.5078i | −0.145619 | + | 0.464132i | ||||
\(848\) | −4.86314 | − | 1.90864i | −0.167001 | − | 0.0655430i | ||||
\(849\) | 11.5334 | + | 11.0889i | 0.395827 | + | 0.380570i | ||||
\(850\) | −7.68463 | − | 1.75397i | −0.263581 | − | 0.0601606i | ||||
\(851\) | − | 11.7586i | − | 0.403081i | ||||||
\(852\) | 1.42466 | + | 3.82845i | 0.0488081 | + | 0.131161i | ||||
\(853\) | −6.23237 | − | 20.2048i | −0.213392 | − | 0.691800i | −0.997467 | − | 0.0711338i | \(-0.977338\pi\) |
0.784075 | − | 0.620667i | \(-0.213138\pi\) | |||||||
\(854\) | 2.99645 | + | 1.19272i | 0.102536 | + | 0.0408140i | ||||
\(855\) | 2.71323 | − | 3.69093i | 0.0927904 | − | 0.126227i | ||||
\(856\) | −13.7570 | − | 4.24349i | −0.470206 | − | 0.145039i | ||||
\(857\) | −1.54920 | + | 0.233505i | −0.0529198 | + | 0.00797638i | −0.175449 | − | 0.984489i | \(-0.556138\pi\) |
0.122529 | + | 0.992465i | \(0.460900\pi\) | |||||||
\(858\) | 12.4677 | + | 0.221341i | 0.425641 | + | 0.00755647i | ||||
\(859\) | −15.9444 | − | 17.1840i | −0.544017 | − | 0.586310i | 0.399873 | − | 0.916570i | \(-0.369054\pi\) |
−0.943890 | + | 0.330260i | \(0.892864\pi\) | |||||||
\(860\) | 7.64338 | + | 2.35767i | 0.260637 | + | 0.0803959i | ||||
\(861\) | −10.9614 | + | 18.0331i | −0.373563 | + | 0.614567i | ||||
\(862\) | 33.1876 | − | 10.2370i | 1.13037 | − | 0.348674i | ||||
\(863\) | −1.62023 | − | 0.935443i | −0.0551534 | − | 0.0318429i | 0.472170 | − | 0.881508i | \(-0.343471\pi\) |
−0.527323 | + | 0.849665i | \(0.676804\pi\) | |||||||
\(864\) | 4.55493 | + | 2.50052i | 0.154962 | + | 0.0850696i | ||||
\(865\) | 6.05368 | − | 1.86731i | 0.205831 | − | 0.0634906i | ||||
\(866\) | −15.3460 | + | 7.39023i | −0.521478 | + | 0.251130i | ||||
\(867\) | −21.2845 | + | 11.7899i | −0.722858 | + | 0.400405i | ||||
\(868\) | −18.8796 | + | 17.3491i | −0.640814 | + | 0.588866i | ||||
\(869\) | −47.9896 | + | 18.8345i | −1.62793 | + | 0.638917i | ||||
\(870\) | −7.59816 | − | 3.13882i | −0.257602 | − | 0.106416i | ||||
\(871\) | 7.43651 | − | 2.91861i | 0.251976 | − | 0.0988935i | ||||
\(872\) | −4.84431 | + | 7.10529i | −0.164049 | + | 0.240616i | ||||
\(873\) | −12.0939 | + | 4.25762i | −0.409318 | + | 0.144099i | ||||
\(874\) | 2.17275 | − | 4.51176i | 0.0734943 | − | 0.152612i | ||||
\(875\) | 11.0224 | + | 11.9947i | 0.372625 | + | 0.405496i | ||||
\(876\) | 4.74225 | − | 19.1996i | 0.160226 | − | 0.648694i | ||||
\(877\) | 1.44717 | + | 19.3111i | 0.0488674 | + | 0.652091i | 0.966830 | + | 0.255422i | \(0.0822146\pi\) |
−0.917962 | + | 0.396668i | \(0.870166\pi\) | |||||||
\(878\) | −4.44776 | − | 19.4869i | −0.150105 | − | 0.657651i | ||||
\(879\) | −2.85161 | + | 4.02706i | −0.0961824 | + | 0.135829i | ||||
\(880\) | 2.03024 | + | 1.61907i | 0.0684395 | + | 0.0545787i | ||||
\(881\) | 13.6107 | 0.458557 | 0.229279 | − | 0.973361i | \(-0.426363\pi\) | ||||
0.229279 | + | 0.973361i | \(0.426363\pi\) | |||||||
\(882\) | −20.6635 | + | 3.74426i | −0.695776 | + | 0.126076i | ||||
\(883\) | 51.0292 | 1.71727 | 0.858634 | − | 0.512589i | \(-0.171313\pi\) | ||||
0.858634 | + | 0.512589i | \(0.171313\pi\) | |||||||
\(884\) | −2.39168 | − | 1.90730i | −0.0804410 | − | 0.0641496i | ||||
\(885\) | 2.51192 | + | 5.46200i | 0.0844372 | + | 0.183603i | ||||
\(886\) | −0.757692 | − | 3.31966i | −0.0254551 | − | 0.111526i | ||||
\(887\) | 1.99340 | + | 26.6001i | 0.0669320 | + | 0.893145i | 0.925087 | + | 0.379755i | \(0.123992\pi\) |
−0.858155 | + | 0.513390i | \(0.828389\pi\) | |||||||
\(888\) | −9.28993 | + | 2.68593i | −0.311750 | + | 0.0901339i | ||||
\(889\) | −3.84991 | − | 12.6981i | −0.129122 | − | 0.425880i | ||||
\(890\) | −4.01463 | + | 8.33647i | −0.134571 | + | 0.279439i | ||||
\(891\) | 36.3923 | − | 0.138096i | 1.21919 | − | 0.00462639i | ||||
\(892\) | 3.48501 | − | 5.11158i | 0.116687 | − | 0.171148i | ||||
\(893\) | −7.02077 | + | 2.75545i | −0.234941 | + | 0.0922075i | ||||
\(894\) | −18.9438 | + | 14.5647i | −0.633576 | + | 0.487116i | ||||
\(895\) | −0.584249 | + | 0.229301i | −0.0195293 | + | 0.00766469i | ||||
\(896\) | −1.31182 | − | 2.29764i | −0.0438247 | − | 0.0767587i | ||||
\(897\) | −5.56603 | − | 3.34667i | −0.185844 | − | 0.111742i | ||||
\(898\) | −26.2416 | + | 12.6373i | −0.875695 | + | 0.421713i | ||||
\(899\) | 68.4441 | − | 21.1122i | 2.28274 | − | 0.704131i | ||||
\(900\) | 2.58431 | + | 13.5180i | 0.0861437 | + | 0.450599i | ||||
\(901\) | 7.77360 | + | 4.48809i | 0.258976 | + | 0.149520i | ||||
\(902\) | −17.7940 | + | 5.48871i | −0.592474 | + | 0.182754i | ||||
\(903\) | −56.2338 | − | 9.77865i | −1.87134 | − | 0.325413i | ||||
\(904\) | 0.964889 | + | 0.297629i | 0.0320917 | + | 0.00989899i | ||||
\(905\) | 9.38805 | + | 10.1179i | 0.312069 | + | 0.336331i | ||||
\(906\) | −5.64254 | − | 10.1866i | −0.187461 | − | 0.338426i | ||||
\(907\) | 12.8936 | − | 1.94340i | 0.428125 | − | 0.0645294i | 0.0685543 | − | 0.997647i | \(-0.478161\pi\) |
0.359570 | + | 0.933118i | \(0.382923\pi\) | |||||||
\(908\) | −27.5997 | − | 8.51337i | −0.915927 | − | 0.282526i | ||||
\(909\) | 38.5729 | − | 16.9164i | 1.27938 | − | 0.561080i | ||||
\(910\) | 0.877718 | + | 2.89496i | 0.0290961 | + | 0.0959670i | ||||
\(911\) | −3.61403 | − | 11.7164i | −0.119738 | − | 0.388181i | 0.875785 | − | 0.482702i | \(-0.160344\pi\) |
−0.995523 | + | 0.0945204i | \(0.969868\pi\) | |||||||
\(912\) | −4.06082 | − | 0.685999i | −0.134467 | − | 0.0227157i | ||||
\(913\) | 41.8739i | 1.38582i | ||||||||
\(914\) | 1.99313 | + | 0.454918i | 0.0659268 | + | 0.0150474i | ||||
\(915\) | 0.325127 | − | 1.31632i | 0.0107484 | − | 0.0435161i | ||||
\(916\) | 26.2574 | + | 10.3053i | 0.867569 | + | 0.340496i | ||||
\(917\) | 19.8516 | + | 1.58393i | 0.655557 | + | 0.0523060i | ||||
\(918\) | −7.09839 | − | 5.41476i | −0.234282 | − | 0.178714i | ||||
\(919\) | 27.6488 | + | 25.6543i | 0.912050 | + | 0.846259i | 0.988563 | − | 0.150810i | \(-0.0481881\pi\) |
−0.0765127 | + | 0.997069i | \(0.524379\pi\) | |||||||
\(920\) | −0.494124 | − | 1.25901i | −0.0162908 | − | 0.0415082i | ||||
\(921\) | −35.0022 | − | 33.6530i | −1.15336 | − | 1.10890i | ||||
\(922\) | −37.8415 | − | 14.8517i | −1.24624 | − | 0.489114i | ||||
\(923\) | −3.46940 | + | 2.36540i | −0.114197 | + | 0.0778581i | ||||
\(924\) | −15.8344 | − | 9.62492i | −0.520914 | − | 0.316637i | ||||
\(925\) | −21.1629 | − | 14.4286i | −0.695831 | − | 0.474410i | ||||
\(926\) | −1.92513 | − | 2.82365i | −0.0632637 | − | 0.0927909i | ||||
\(927\) | 12.9915 | + | 1.43884i | 0.426698 | + | 0.0472577i | ||||
\(928\) | 0.552322 | + | 7.37023i | 0.0181309 | + | 0.241939i | ||||
\(929\) | −6.44162 | + | 8.07754i | −0.211343 | + | 0.265016i | −0.876192 | − | 0.481962i | \(-0.839924\pi\) |
0.664849 | + | 0.746978i | \(0.268496\pi\) | |||||||
\(930\) | 8.30717 | + | 6.86948i | 0.272403 | + | 0.225259i | ||||
\(931\) | 14.4938 | − | 8.18273i | 0.475015 | − | 0.268178i | ||||
\(932\) | 10.2798 | + | 5.93504i | 0.336726 | + | 0.194409i | ||||
\(933\) | −3.50014 | + | 10.6709i | −0.114590 | + | 0.349349i | ||||
\(934\) | −6.87057 | − | 10.0773i | −0.224812 | − | 0.329738i | ||||
\(935\) | −3.03473 | − | 3.27066i | −0.0992463 | − | 0.106962i | ||||
\(936\) | −1.37264 | + | 5.16190i | −0.0448660 | + | 0.168722i | ||||
\(937\) | 3.29055 | + | 6.83289i | 0.107497 | + | 0.223221i | 0.947778 | − | 0.318931i | \(-0.103324\pi\) |
−0.840280 | + | 0.542152i | \(0.817610\pi\) | |||||||
\(938\) | −11.7302 | − | 1.82591i | −0.383003 | − | 0.0596179i | ||||
\(939\) | 3.60452 | − | 38.8350i | 0.117629 | − | 1.26733i | ||||
\(940\) | −0.744207 | + | 1.89621i | −0.0242734 | + | 0.0618475i | ||||
\(941\) | −3.91373 | + | 1.88475i | −0.127584 | + | 0.0614412i | −0.496587 | − | 0.867987i | \(-0.665414\pi\) |
0.369003 | + | 0.929428i | \(0.379699\pi\) | |||||||
\(942\) | −11.5718 | + | 35.2791i | −0.377031 | + | 1.14945i | ||||
\(943\) | 9.45548 | + | 2.15815i | 0.307913 | + | 0.0702791i | ||||
\(944\) | 3.36990 | − | 4.22572i | 0.109681 | − | 0.137535i | ||||
\(945\) | 2.74304 | + | 8.39175i | 0.0892310 | + | 0.272983i | ||||
\(946\) | −31.4019 | − | 39.3768i | −1.02096 | − | 1.28025i | ||||
\(947\) | −11.2828 | − | 23.4291i | −0.366643 | − | 0.761342i | 0.633278 | − | 0.773925i | \(-0.281709\pi\) |
−0.999921 | + | 0.0125823i | \(0.995995\pi\) | |||||||
\(948\) | −2.90310 | − | 21.8908i | −0.0942884 | − | 0.710979i | ||||
\(949\) | 20.3290 | 0.659907 | ||||||||
\(950\) | −5.45404 | − | 9.44667i | −0.176952 | − | 0.306490i | ||||
\(951\) | −23.9685 | + | 3.17865i | −0.777233 | + | 0.103075i | ||||
\(952\) | 1.64037 | + | 4.23957i | 0.0531647 | + | 0.137405i | ||||
\(953\) | −23.4849 | + | 5.36027i | −0.760749 | + | 0.173636i | −0.585260 | − | 0.810845i | \(-0.699008\pi\) |
−0.175489 | + | 0.984481i | \(0.556151\pi\) | |||||||
\(954\) | 1.72525 | − | 15.5776i | 0.0558569 | − | 0.504342i | ||||
\(955\) | −0.0560686 | − | 0.0220053i | −0.00181434 | − | 0.000712074i | ||||
\(956\) | −1.38423 | − | 9.18379i | −0.0447693 | − | 0.297025i | ||||
\(957\) | 28.3959 | + | 43.2802i | 0.917909 | + | 1.39905i | ||||
\(958\) | 3.67878 | − | 11.9263i | 0.118856 | − | 0.385322i | ||||
\(959\) | 27.4687 | − | 13.0655i | 0.887012 | − | 0.421907i | ||||
\(960\) | −0.881812 | + | 0.677968i | −0.0284603 | + | 0.0218813i | ||||
\(961\) | −62.9184 | −2.02963 | ||||||||
\(962\) | −4.97026 | − | 8.60875i | −0.160248 | − | 0.277557i | ||||
\(963\) | 1.53303 | − | 43.1627i | 0.0494013 | − | 1.39090i | ||||
\(964\) | −10.7892 | − | 0.808536i | −0.347495 | − | 0.0260412i | ||||
\(965\) | −2.25284 | + | 5.74014i | −0.0725214 | + | 0.184782i | ||||
\(966\) | 4.63574 | + | 8.46498i | 0.149152 | + | 0.272356i | ||||
\(967\) | −13.8102 | − | 35.1877i | −0.444105 | − | 1.13156i | −0.961254 | − | 0.275666i | \(-0.911102\pi\) |
0.517149 | − | 0.855896i | \(-0.326993\pi\) | |||||||
\(968\) | −1.57719 | − | 5.11311i | −0.0506927 | − | 0.164342i | ||||
\(969\) | 6.72358 | + | 2.20539i | 0.215993 | + | 0.0708474i | ||||
\(970\) | 0.205106 | − | 2.73695i | 0.00658555 | − | 0.0878781i | ||||
\(971\) | −21.2047 | + | 3.19609i | −0.680491 | + | 0.102567i | −0.480187 | − | 0.877166i | \(-0.659431\pi\) |
−0.200304 | + | 0.979734i | \(0.564193\pi\) | |||||||
\(972\) | −3.68052 | + | 15.1477i | −0.118053 | + | 0.485864i | ||||
\(973\) | 9.41777 | + | 4.59141i | 0.301920 | + | 0.147194i | ||||
\(974\) | 0.869087 | − | 1.27472i | 0.0278473 | − | 0.0408445i | ||||
\(975\) | −12.8531 | + | 5.91101i | −0.411629 | + | 0.189304i | ||||
\(976\) | −1.18841 | + | 0.271247i | −0.0380401 | + | 0.00868241i | ||||
\(977\) | −17.4040 | + | 36.1398i | −0.556804 | + | 1.15622i | 0.412638 | + | 0.910895i | \(0.364608\pi\) |
−0.969442 | + | 0.245321i | \(0.921107\pi\) | |||||||
\(978\) | 17.2973 | − | 15.4874i | 0.553107 | − | 0.495231i | ||||
\(979\) | 50.4555 | − | 29.1305i | 1.61256 | − | 0.931014i | ||||
\(980\) | 1.04251 | − | 4.37279i | 0.0333018 | − | 0.139684i | ||||
\(981\) | −24.3671 | − | 8.47455i | −0.777981 | − | 0.270572i | ||||
\(982\) | −8.77126 | − | 22.3488i | −0.279902 | − | 0.713179i | ||||
\(983\) | −19.9200 | + | 13.5812i | −0.635349 | + | 0.433174i | −0.837693 | − | 0.546141i | \(-0.816096\pi\) |
0.202344 | + | 0.979314i | \(0.435144\pi\) | |||||||
\(984\) | −0.454787 | − | 7.96328i | −0.0144981 | − | 0.253860i | ||||
\(985\) | 14.2402 | − | 1.06715i | 0.453729 | − | 0.0340023i | ||||
\(986\) | 0.948983 | − | 12.6633i | 0.0302218 | − | 0.403281i | ||||
\(987\) | 3.55354 | − | 14.0948i | 0.113111 | − | 0.448642i | ||||
\(988\) | −0.316362 | − | 4.22155i | −0.0100648 | − | 0.134305i | ||||
\(989\) | 3.90966 | + | 25.9389i | 0.124320 | + | 0.824808i | ||||
\(990\) | −3.10174 | + | 7.14623i | −0.0985798 | + | 0.227122i | ||||
\(991\) | 8.02259 | + | 1.20921i | 0.254846 | + | 0.0384119i | 0.275223 | − | 0.961381i | \(-0.411248\pi\) |
−0.0203766 | + | 0.999792i | \(0.506487\pi\) | |||||||
\(992\) | 2.15648 | − | 9.44817i | 0.0684684 | − | 0.299980i | ||||
\(993\) | −1.57247 | + | 4.79399i | −0.0499009 | + | 0.152133i | ||||
\(994\) | 6.22457 | − | 0.436306i | 0.197431 | − | 0.0138388i | ||||
\(995\) | 0.377871 | + | 2.50701i | 0.0119793 | + | 0.0794776i | ||||
\(996\) | −17.4131 | − | 4.30098i | −0.551754 | − | 0.136282i | ||||
\(997\) | 21.2536 | − | 22.9059i | 0.673109 | − | 0.725439i | −0.300470 | − | 0.953791i | \(-0.597143\pi\) |
0.973578 | + | 0.228353i | \(0.0733340\pi\) | |||||||
\(998\) | 30.7587 | − | 17.7586i | 0.973650 | − | 0.562137i | ||||
\(999\) | −15.0435 | − | 24.8061i | −0.475957 | − | 0.784831i |
(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 | 882.2.bk.a.131.28 | yes | 672 | |
9.2 | odd | 6 | 882.2.bc.a.425.53 | ✓ | 672 | ||
49.3 | odd | 42 | 882.2.bc.a.689.53 | yes | 672 | ||
441.101 | even | 42 | inner | 882.2.bk.a.101.28 | yes | 672 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
882.2.bc.a.425.53 | ✓ | 672 | 9.2 | odd | 6 | ||
882.2.bc.a.689.53 | yes | 672 | 49.3 | odd | 42 | ||
882.2.bk.a.101.28 | yes | 672 | 441.101 | even | 42 | inner | |
882.2.bk.a.131.28 | yes | 672 | 1.1 | even | 1 | trivial |