Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [216,2,Mod(11,216)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(216, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 9, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("216.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 216 = 2^{3} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 216.v (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: | \(1.72476868366\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 131.7 | ||
Character | \(\chi\) | \(=\) | 216.131 |
Dual form | 216.2.v.b.155.7 |
$q$-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 \(\left(\mathbb{Z}/216\mathbb{Z}\right)^\times\).
\(n\) | \(55\) | \(109\) | \(137\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{11}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.07669 | − | 0.916924i | −0.761331 | − | 0.648363i | ||||
\(3\) | 0.459797 | + | 1.66991i | 0.265464 | + | 0.964121i | ||||
\(4\) | 0.318502 | + | 1.97448i | 0.159251 | + | 0.987238i | ||||
\(5\) | −0.221850 | + | 1.25817i | −0.0992142 | + | 0.562672i | 0.894160 | + | 0.447748i | \(0.147774\pi\) |
−0.993374 | + | 0.114924i | \(0.963337\pi\) | |||||||
\(6\) | 1.03612 | − | 2.21956i | 0.422994 | − | 0.906132i | ||||
\(7\) | −0.0241545 | − | 0.0287862i | −0.00912953 | − | 0.0108801i | 0.761460 | − | 0.648211i | \(-0.224483\pi\) |
−0.770590 | + | 0.637331i | \(0.780038\pi\) | |||||||
\(8\) | 1.46752 | − | 2.41793i | 0.518846 | − | 0.854868i | ||||
\(9\) | −2.57717 | + | 1.53564i | −0.859058 | + | 0.511879i | ||||
\(10\) | 1.39251 | − | 1.15124i | 0.440350 | − | 0.364053i | ||||
\(11\) | −3.96591 | + | 0.699297i | −1.19577 | + | 0.210846i | −0.735868 | − | 0.677125i | \(-0.763225\pi\) |
−0.459899 | + | 0.887971i | \(0.652114\pi\) | |||||||
\(12\) | −3.15074 | + | 1.43973i | −0.909541 | + | 0.415614i | ||||
\(13\) | 1.52273 | + | 4.18367i | 0.422329 | + | 1.16034i | 0.950370 | + | 0.311121i | \(0.100705\pi\) |
−0.528041 | + | 0.849219i | \(0.677073\pi\) | |||||||
\(14\) | −0.000387960 | 0.0531414i | −0.000103687 | 0.0142026i | ||||||
\(15\) | −2.20304 | + | 0.208036i | −0.568821 | + | 0.0537146i | ||||
\(16\) | −3.79711 | + | 1.25775i | −0.949278 | + | 0.314438i | ||||
\(17\) | −0.960657 | − | 0.554636i | −0.232994 | − | 0.134519i | 0.378959 | − | 0.925414i | \(-0.376282\pi\) |
−0.611952 | + | 0.790895i | \(0.709616\pi\) | |||||||
\(18\) | 4.18287 | + | 0.709674i | 0.985911 | + | 0.167272i | ||||
\(19\) | 1.54631 | + | 2.67828i | 0.354747 | + | 0.614439i | 0.987075 | − | 0.160261i | \(-0.0512337\pi\) |
−0.632328 | + | 0.774701i | \(0.717900\pi\) | |||||||
\(20\) | −2.55489 | − | 0.0373060i | −0.571291 | − | 0.00834188i | ||||
\(21\) | 0.0369640 | − | 0.0535715i | 0.00806622 | − | 0.0116903i | ||||
\(22\) | 4.91124 | + | 2.88351i | 1.04708 | + | 0.614767i | ||||
\(23\) | −1.78597 | − | 1.49861i | −0.372400 | − | 0.312481i | 0.437310 | − | 0.899311i | \(-0.355931\pi\) |
−0.809710 | + | 0.586830i | \(0.800376\pi\) | |||||||
\(24\) | 4.71248 | + | 1.33886i | 0.961931 | + | 0.273293i | ||||
\(25\) | 3.16468 | + | 1.15185i | 0.632936 | + | 0.230370i | ||||
\(26\) | 2.19660 | − | 5.90072i | 0.430789 | − | 1.15723i | ||||
\(27\) | −3.74934 | − | 3.59756i | −0.721562 | − | 0.692350i | ||||
\(28\) | 0.0491443 | − | 0.0568609i | 0.00928741 | − | 0.0107457i | ||||
\(29\) | 8.19341 | + | 2.98216i | 1.52148 | + | 0.553772i | 0.961517 | − | 0.274747i | \(-0.0885941\pi\) |
0.559961 | + | 0.828519i | \(0.310816\pi\) | |||||||
\(30\) | 2.56273 | + | 1.79603i | 0.467888 | + | 0.327908i | ||||
\(31\) | 0.991533 | − | 1.18166i | 0.178085 | − | 0.212233i | −0.669617 | − | 0.742707i | \(-0.733542\pi\) |
0.847701 | + | 0.530474i | \(0.177986\pi\) | |||||||
\(32\) | 5.24156 | + | 2.12746i | 0.926585 | + | 0.376085i | ||||
\(33\) | −2.99127 | − | 6.30116i | −0.520714 | − | 1.09689i | ||||
\(34\) | 0.525767 | + | 1.47802i | 0.0901683 | + | 0.253478i | ||||
\(35\) | 0.0415766 | − | 0.0240043i | 0.00702773 | − | 0.00405746i | ||||
\(36\) | −3.85291 | − | 4.59946i | −0.642152 | − | 0.766577i | ||||
\(37\) | −0.0149964 | − | 0.00865816i | −0.00246539 | − | 0.00142339i | 0.498767 | − | 0.866736i | \(-0.333786\pi\) |
−0.501232 | + | 0.865313i | \(0.667120\pi\) | |||||||
\(38\) | 0.790893 | − | 4.30151i | 0.128300 | − | 0.697797i | ||||
\(39\) | −6.28618 | + | 4.46645i | −1.00660 | + | 0.715205i | ||||
\(40\) | 2.71661 | + | 2.38281i | 0.429533 | + | 0.376755i | ||||
\(41\) | −0.470758 | − | 1.29340i | −0.0735200 | − | 0.201995i | 0.897489 | − | 0.441036i | \(-0.145389\pi\) |
−0.971009 | + | 0.239042i | \(0.923167\pi\) | |||||||
\(42\) | −0.0889196 | + | 0.0237864i | −0.0137206 | + | 0.00367032i | ||||
\(43\) | −0.0865581 | − | 0.490896i | −0.0132000 | − | 0.0748609i | 0.977496 | − | 0.210953i | \(-0.0676567\pi\) |
−0.990696 | + | 0.136092i | \(0.956546\pi\) | |||||||
\(44\) | −2.64390 | − | 7.60786i | −0.398582 | − | 1.14693i | ||||
\(45\) | −1.36035 | − | 3.58321i | −0.202789 | − | 0.534153i | ||||
\(46\) | 0.548820 | + | 3.25113i | 0.0809191 | + | 0.479352i | ||||
\(47\) | −7.19227 | + | 6.03503i | −1.04910 | + | 0.880300i | −0.992999 | − | 0.118125i | \(-0.962312\pi\) |
−0.0561017 | + | 0.998425i | \(0.517867\pi\) | |||||||
\(48\) | −3.84623 | − | 5.76251i | −0.555155 | − | 0.831747i | ||||
\(49\) | 1.21529 | − | 6.89226i | 0.173613 | − | 0.984609i | ||||
\(50\) | −2.35121 | − | 4.14195i | −0.332511 | − | 0.585760i | ||||
\(51\) | 0.484482 | − | 1.85923i | 0.0678411 | − | 0.260344i | ||||
\(52\) | −7.77556 | + | 4.33910i | −1.07828 | + | 0.601725i | ||||
\(53\) | 14.3897 | 1.97657 | 0.988287 | − | 0.152609i | \(-0.0487674\pi\) | ||||
0.988287 | + | 0.152609i | \(0.0487674\pi\) | |||||||
\(54\) | 0.738180 | + | 7.31130i | 0.100454 | + | 0.994942i | ||||
\(55\) | − | 5.14494i | − | 0.693743i | ||||||
\(56\) | −0.105050 | + | 0.0161597i | −0.0140379 | + | 0.00215943i | ||||
\(57\) | −3.76149 | + | 3.81365i | −0.498221 | + | 0.505130i | ||||
\(58\) | −6.08731 | − | 10.7236i | −0.799303 | − | 1.40807i | ||||
\(59\) | 1.54236 | + | 0.271959i | 0.200798 | + | 0.0354060i | 0.273142 | − | 0.961974i | \(-0.411937\pi\) |
−0.0723446 | + | 0.997380i | \(0.523048\pi\) | |||||||
\(60\) | −1.11243 | − | 4.28358i | −0.143615 | − | 0.553008i | ||||
\(61\) | −9.01061 | − | 10.7384i | −1.15369 | − | 1.37491i | −0.914820 | − | 0.403862i | \(-0.867667\pi\) |
−0.238870 | − | 0.971052i | \(-0.576777\pi\) | |||||||
\(62\) | −2.15106 | + | 0.363119i | −0.273185 | + | 0.0461162i | ||||
\(63\) | 0.106455 | + | 0.0370945i | 0.0134121 | + | 0.00467347i | ||||
\(64\) | −3.69279 | − | 7.09671i | −0.461599 | − | 0.887089i | ||||
\(65\) | −5.60159 | + | 0.987712i | −0.694792 | + | 0.122511i | ||||
\(66\) | −2.55702 | + | 9.52714i | −0.314748 | + | 1.17271i | ||||
\(67\) | 7.92365 | − | 2.88397i | 0.968028 | − | 0.352333i | 0.190853 | − | 0.981619i | \(-0.438875\pi\) |
0.777174 | + | 0.629285i | \(0.216652\pi\) | |||||||
\(68\) | 0.789143 | − | 2.07345i | 0.0956977 | − | 0.251442i | ||||
\(69\) | 1.68135 | − | 3.67146i | 0.202411 | − | 0.441991i | ||||
\(70\) | −0.0667750 | − | 0.0122775i | −0.00798114 | − | 0.00146745i | ||||
\(71\) | 4.72079 | − | 8.17664i | 0.560254 | − | 0.970389i | −0.437220 | − | 0.899355i | \(-0.644037\pi\) |
0.997474 | − | 0.0710340i | \(-0.0226299\pi\) | |||||||
\(72\) | −0.0689819 | + | 8.48500i | −0.00812960 | + | 0.999967i | ||||
\(73\) | 6.64650 | + | 11.5121i | 0.777914 | + | 1.34739i | 0.933142 | + | 0.359507i | \(0.117055\pi\) |
−0.155229 | + | 0.987879i | \(0.549611\pi\) | |||||||
\(74\) | 0.00820750 | + | 0.0230726i | 0.000954103 | + | 0.00268214i | ||||
\(75\) | −0.468370 | + | 5.81434i | −0.0540827 | + | 0.671382i | ||||
\(76\) | −4.79570 | + | 3.90618i | −0.550104 | + | 0.448070i | ||||
\(77\) | 0.115924 | + | 0.0972722i | 0.0132108 | + | 0.0110852i | ||||
\(78\) | 10.8636 | + | 0.954985i | 1.23006 | + | 0.108131i | ||||
\(79\) | 3.05388 | − | 8.39047i | 0.343589 | − | 0.944002i | −0.640756 | − | 0.767745i | \(-0.721379\pi\) |
0.984344 | − | 0.176257i | \(-0.0563990\pi\) | |||||||
\(80\) | −0.740079 | − | 5.05645i | −0.0827434 | − | 0.565329i | ||||
\(81\) | 4.28364 | − | 7.91520i | 0.475961 | − | 0.879467i | ||||
\(82\) | −0.679088 | + | 1.82423i | −0.0749927 | + | 0.201453i | ||||
\(83\) | −4.13336 | + | 11.3563i | −0.453696 | + | 1.24652i | 0.476409 | + | 0.879224i | \(0.341938\pi\) |
−0.930105 | + | 0.367295i | \(0.880284\pi\) | |||||||
\(84\) | 0.117549 | + | 0.0559220i | 0.0128256 | + | 0.00610159i | ||||
\(85\) | 0.910949 | − | 1.08563i | 0.0988063 | − | 0.117753i | ||||
\(86\) | −0.356918 | + | 0.607907i | −0.0384874 | + | 0.0655523i | ||||
\(87\) | −1.21262 | + | 15.0534i | −0.130006 | + | 1.61389i | ||||
\(88\) | −4.12919 | + | 10.6155i | −0.440173 | + | 1.13162i | ||||
\(89\) | 6.90026 | − | 3.98387i | 0.731426 | − | 0.422289i | −0.0875175 | − | 0.996163i | \(-0.527893\pi\) |
0.818944 | + | 0.573874i | \(0.194560\pi\) | |||||||
\(90\) | −1.82086 | + | 5.10533i | −0.191936 | + | 0.538149i | ||||
\(91\) | 0.0836510 | − | 0.144888i | 0.00876901 | − | 0.0151884i | ||||
\(92\) | 2.39013 | − | 4.00366i | 0.249188 | − | 0.417411i | ||||
\(93\) | 2.42917 | + | 1.11244i | 0.251893 | + | 0.115355i | ||||
\(94\) | 13.2775 | + | 0.0969323i | 1.36947 | + | 0.00999781i | ||||
\(95\) | −3.71279 | + | 1.35134i | −0.380924 | + | 0.138645i | ||||
\(96\) | −1.14261 | + | 9.73111i | −0.116617 | + | 0.993177i | ||||
\(97\) | −0.0961922 | − | 0.545533i | −0.00976684 | − | 0.0553905i | 0.979535 | − | 0.201275i | \(-0.0645084\pi\) |
−0.989302 | + | 0.145884i | \(0.953397\pi\) | |||||||
\(98\) | −7.62817 | + | 6.30647i | −0.770561 | + | 0.637050i | ||||
\(99\) | 9.14697 | − | 7.89240i | 0.919305 | − | 0.793216i | ||||
\(100\) | −1.26634 | + | 6.61546i | −0.126634 | + | 0.661546i | ||||
\(101\) | 0.735978 | − | 0.617559i | 0.0732325 | − | 0.0614494i | −0.605437 | − | 0.795894i | \(-0.707001\pi\) |
0.678669 | + | 0.734444i | \(0.262557\pi\) | |||||||
\(102\) | −2.22640 | + | 1.55757i | −0.220447 | + | 0.154222i | ||||
\(103\) | −5.44272 | − | 0.959698i | −0.536287 | − | 0.0945618i | −0.101056 | − | 0.994881i | \(-0.532222\pi\) |
−0.435231 | + | 0.900319i | \(0.643333\pi\) | |||||||
\(104\) | 12.3505 | + | 2.45774i | 1.21106 | + | 0.241002i | ||||
\(105\) | 0.0592017 | + | 0.0583920i | 0.00577749 | + | 0.00569847i | ||||
\(106\) | −15.4931 | − | 13.1942i | −1.50483 | − | 1.28154i | ||||
\(107\) | 13.8930i | 1.34309i | 0.740966 | + | 0.671543i | \(0.234368\pi\) | ||||
−0.740966 | + | 0.671543i | \(0.765632\pi\) | |||||||
\(108\) | 5.90911 | − | 8.54882i | 0.568605 | − | 0.822611i | ||||
\(109\) | 13.3583i | 1.27949i | 0.768586 | + | 0.639746i | \(0.220961\pi\) | ||||
−0.768586 | + | 0.639746i | \(0.779039\pi\) | |||||||
\(110\) | −4.71751 | + | 5.53948i | −0.449797 | + | 0.528169i | ||||
\(111\) | 0.00756303 | − | 0.0290235i | 0.000717851 | − | 0.00275479i | ||||
\(112\) | 0.127923 | + | 0.0789240i | 0.0120876 | + | 0.00745762i | ||||
\(113\) | 6.47027 | + | 1.14088i | 0.608672 | + | 0.107325i | 0.469484 | − | 0.882941i | \(-0.344440\pi\) |
0.139187 | + | 0.990266i | \(0.455551\pi\) | |||||||
\(114\) | 7.54677 | − | 0.657103i | 0.706819 | − | 0.0615434i | ||||
\(115\) | 2.28172 | − | 1.91459i | 0.212772 | − | 0.178537i | ||||
\(116\) | −3.27858 | + | 17.1275i | −0.304408 | + | 1.59025i | ||||
\(117\) | −10.3489 | − | 8.44368i | −0.956759 | − | 0.780618i | ||||
\(118\) | −1.41127 | − | 1.70704i | −0.129918 | − | 0.157145i | ||||
\(119\) | 0.00723832 | + | 0.0410506i | 0.000663536 | + | 0.00376310i | ||||
\(120\) | −2.72998 | + | 5.63209i | −0.249212 | + | 0.514137i | ||||
\(121\) | 4.90280 | − | 1.78447i | 0.445709 | − | 0.162225i | ||||
\(122\) | −0.144725 | + | 19.8239i | −0.0131028 | + | 1.79477i | ||||
\(123\) | 1.94340 | − | 1.38082i | 0.175230 | − | 0.124504i | ||||
\(124\) | 2.64897 | + | 1.58140i | 0.237885 | + | 0.142014i | ||||
\(125\) | −5.34527 | + | 9.25827i | −0.478095 | + | 0.828085i | ||||
\(126\) | −0.0806061 | − | 0.137550i | −0.00718096 | − | 0.0122540i | ||||
\(127\) | 15.5376 | − | 8.97063i | 1.37874 | − | 0.796015i | 0.386730 | − | 0.922193i | \(-0.373604\pi\) |
0.992008 | + | 0.126178i | \(0.0402711\pi\) | |||||||
\(128\) | −2.53117 | + | 11.0269i | −0.223726 | + | 0.974652i | ||||
\(129\) | 0.779950 | − | 0.370256i | 0.0686708 | − | 0.0325993i | ||||
\(130\) | 6.93681 | + | 4.07278i | 0.608398 | + | 0.357206i | ||||
\(131\) | 9.77701 | − | 11.6518i | 0.854221 | − | 1.01802i | −0.145368 | − | 0.989378i | \(-0.546437\pi\) |
0.999590 | − | 0.0286439i | \(-0.00911889\pi\) | |||||||
\(132\) | 11.4888 | − | 7.91313i | 0.999969 | − | 0.688750i | ||||
\(133\) | 0.0397472 | − | 0.109205i | 0.00344652 | − | 0.00946924i | ||||
\(134\) | −11.1757 | − | 4.16025i | −0.965430 | − | 0.359391i | ||||
\(135\) | 5.35814 | − | 3.91921i | 0.461155 | − | 0.337312i | ||||
\(136\) | −2.75085 | + | 1.50887i | −0.235884 | + | 0.129384i | ||||
\(137\) | −3.50778 | + | 9.63755i | −0.299690 | + | 0.823391i | 0.694861 | + | 0.719144i | \(0.255466\pi\) |
−0.994551 | + | 0.104248i | \(0.966757\pi\) | |||||||
\(138\) | −5.17673 | + | 2.41134i | −0.440672 | + | 0.205267i | ||||
\(139\) | −16.5421 | − | 13.8805i | −1.40308 | − | 1.17733i | −0.959712 | − | 0.280987i | \(-0.909338\pi\) |
−0.443370 | − | 0.896339i | \(-0.646217\pi\) | |||||||
\(140\) | 0.0606381 | + | 0.0744466i | 0.00512486 | + | 0.00629189i | ||||
\(141\) | −13.3849 | − | 9.23553i | −1.12721 | − | 0.777772i | ||||
\(142\) | −12.5802 | + | 4.47507i | −1.05570 | + | 0.375539i | ||||
\(143\) | −8.96463 | − | 15.5272i | −0.749660 | − | 1.29845i | ||||
\(144\) | 7.85437 | − | 9.07242i | 0.654531 | − | 0.756035i | ||||
\(145\) | −5.56977 | + | 9.64713i | −0.462544 | + | 0.801150i | ||||
\(146\) | 3.39950 | − | 18.4892i | 0.281345 | − | 1.53018i | ||||
\(147\) | 12.0682 | − | 1.13962i | 0.995370 | − | 0.0939942i | ||||
\(148\) | 0.0123190 | − | 0.0323676i | 0.00101261 | − | 0.00266060i | ||||
\(149\) | −11.6387 | + | 4.23616i | −0.953483 | + | 0.347039i | −0.771476 | − | 0.636258i | \(-0.780481\pi\) |
−0.182007 | + | 0.983297i | \(0.558259\pi\) | |||||||
\(150\) | 5.83559 | − | 5.83075i | 0.476474 | − | 0.476079i | ||||
\(151\) | 8.22863 | − | 1.45093i | 0.669637 | − | 0.118075i | 0.171514 | − | 0.985182i | \(-0.445134\pi\) |
0.498123 | + | 0.867107i | \(0.334023\pi\) | |||||||
\(152\) | 8.74513 | + | 0.191559i | 0.709323 | + | 0.0155375i | ||||
\(153\) | 3.32750 | − | 0.0458274i | 0.269012 | − | 0.00370493i | ||||
\(154\) | −0.0356230 | − | 0.211025i | −0.00287058 | − | 0.0170049i | ||||
\(155\) | 1.26677 | + | 1.50967i | 0.101749 | + | 0.121260i | ||||
\(156\) | −10.8211 | − | 10.9893i | −0.866379 | − | 0.879852i | ||||
\(157\) | −7.33700 | − | 1.29371i | −0.585556 | − | 0.103249i | −0.126981 | − | 0.991905i | \(-0.540529\pi\) |
−0.458575 | + | 0.888656i | \(0.651640\pi\) | |||||||
\(158\) | −10.9815 | + | 6.23372i | −0.873641 | + | 0.495928i | ||||
\(159\) | 6.61633 | + | 24.0294i | 0.524709 | + | 1.90566i | ||||
\(160\) | −3.83955 | + | 6.12281i | −0.303543 | + | 0.484050i | ||||
\(161\) | 0.0876093i | 0.00690458i | ||||||||
\(162\) | −11.8698 | + | 4.59440i | −0.932577 | + | 0.360971i | ||||
\(163\) | −8.72750 | −0.683591 | −0.341795 | − | 0.939774i | \(-0.611035\pi\) | ||||
−0.341795 | + | 0.939774i | \(0.611035\pi\) | |||||||
\(164\) | 2.40384 | − | 1.34145i | 0.187709 | − | 0.104750i | ||||
\(165\) | 8.59156 | − | 2.36563i | 0.668852 | − | 0.184164i | ||||
\(166\) | 14.8632 | − | 8.43721i | 1.15361 | − | 0.654854i | ||||
\(167\) | −1.28634 | + | 7.29522i | −0.0995404 | + | 0.564521i | 0.893721 | + | 0.448624i | \(0.148086\pi\) |
−0.993261 | + | 0.115898i | \(0.963025\pi\) | |||||||
\(168\) | −0.0752868 | − | 0.167994i | −0.00580851 | − | 0.0129610i | ||||
\(169\) | −5.22578 | + | 4.38495i | −0.401983 | + | 0.337304i | ||||
\(170\) | −1.97624 | + | 0.333608i | −0.151571 | + | 0.0255865i | ||||
\(171\) | −8.09796 | − | 4.52783i | −0.619266 | − | 0.346252i | ||||
\(172\) | 0.941693 | − | 0.327258i | 0.0718034 | − | 0.0249532i | ||||
\(173\) | −1.10221 | − | 6.25096i | −0.0837996 | − | 0.475251i | −0.997609 | − | 0.0691084i | \(-0.977985\pi\) |
0.913810 | − | 0.406143i | \(-0.133127\pi\) | |||||||
\(174\) | 15.1084 | − | 15.0959i | 1.14537 | − | 1.14442i | ||||
\(175\) | −0.0432838 | − | 0.118921i | −0.00327195 | − | 0.00898961i | ||||
\(176\) | 14.1795 | − | 7.64343i | 1.06882 | − | 0.576146i | ||||
\(177\) | 0.255025 | + | 2.70064i | 0.0191688 | + | 0.202992i | ||||
\(178\) | −11.0823 | − | 2.03764i | −0.830654 | − | 0.152728i | ||||
\(179\) | −10.8244 | − | 6.24945i | −0.809051 | − | 0.467106i | 0.0375750 | − | 0.999294i | \(-0.488037\pi\) |
−0.846626 | + | 0.532188i | \(0.821370\pi\) | |||||||
\(180\) | 6.64169 | − | 3.82724i | 0.495042 | − | 0.285266i | ||||
\(181\) | −19.6860 | + | 11.3657i | −1.46325 | + | 0.844807i | −0.999160 | − | 0.0409826i | \(-0.986951\pi\) |
−0.464088 | + | 0.885789i | \(0.653618\pi\) | |||||||
\(182\) | −0.222917 | + | 0.0792970i | −0.0165237 | + | 0.00587788i | ||||
\(183\) | 13.7891 | − | 19.9844i | 1.01932 | − | 1.47729i | ||||
\(184\) | −6.24447 | + | 2.11912i | −0.460348 | + | 0.156224i | ||||
\(185\) | 0.0142204 | − | 0.0169472i | 0.00104550 | − | 0.00124598i | ||||
\(186\) | −1.59543 | − | 3.42511i | −0.116983 | − | 0.251142i | ||||
\(187\) | 4.19773 | + | 1.52785i | 0.306969 | + | 0.111727i | ||||
\(188\) | −14.2068 | − | 12.2788i | −1.03614 | − | 0.895523i | ||||
\(189\) | −0.0129965 | + | 0.194826i | −0.000945354 | + | 0.0141715i | ||||
\(190\) | 5.23658 | + | 1.94937i | 0.379901 | + | 0.141422i | ||||
\(191\) | −3.53137 | − | 1.28531i | −0.255521 | − | 0.0930020i | 0.211084 | − | 0.977468i | \(-0.432301\pi\) |
−0.466605 | + | 0.884466i | \(0.654523\pi\) | |||||||
\(192\) | 10.1529 | − | 9.42966i | 0.732723 | − | 0.680527i | ||||
\(193\) | −18.9554 | − | 15.9055i | −1.36444 | − | 1.14490i | −0.974583 | − | 0.224025i | \(-0.928080\pi\) |
−0.389857 | − | 0.920876i | \(-0.627475\pi\) | |||||||
\(194\) | −0.396643 | + | 0.675568i | −0.0284773 | + | 0.0485030i | ||||
\(195\) | −4.22498 | − | 8.89999i | −0.302557 | − | 0.637341i | ||||
\(196\) | 13.9957 | + | 0.204362i | 0.999692 | + | 0.0145973i | ||||
\(197\) | 2.31882 | + | 4.01631i | 0.165209 | + | 0.286150i | 0.936729 | − | 0.350054i | \(-0.113837\pi\) |
−0.771521 | + | 0.636204i | \(0.780504\pi\) | |||||||
\(198\) | −17.0851 | + | 0.110561i | −1.21419 | + | 0.00785721i | ||||
\(199\) | 12.8167 | + | 7.39975i | 0.908555 | + | 0.524554i | 0.879966 | − | 0.475037i | \(-0.157565\pi\) |
0.0285887 | + | 0.999591i | \(0.490899\pi\) | |||||||
\(200\) | 7.42932 | − | 5.96163i | 0.525332 | − | 0.421551i | ||||
\(201\) | 8.45923 | + | 11.9057i | 0.596668 | + | 0.839764i | ||||
\(202\) | −1.35867 | − | 0.00991899i | −0.0955957 | − | 0.000697898i | ||||
\(203\) | −0.112062 | − | 0.307889i | −0.00786524 | − | 0.0216096i | ||||
\(204\) | 3.82531 | + | 0.364430i | 0.267825 | + | 0.0255152i | ||||
\(205\) | 1.73175 | − | 0.305355i | 0.120951 | − | 0.0213269i | ||||
\(206\) | 4.98012 | + | 6.02385i | 0.346982 | + | 0.419701i | ||||
\(207\) | 6.90407 | + | 1.11957i | 0.479866 | + | 0.0778155i | ||||
\(208\) | −11.0440 | − | 13.9706i | −0.765763 | − | 0.968689i | ||||
\(209\) | −8.00542 | − | 9.54049i | −0.553746 | − | 0.659929i | ||||
\(210\) | −0.0102006 | − | 0.117153i | −0.000703910 | − | 0.00808434i | ||||
\(211\) | −2.04564 | + | 11.6014i | −0.140828 | + | 0.798673i | 0.829795 | + | 0.558068i | \(0.188457\pi\) |
−0.970623 | + | 0.240606i | \(0.922654\pi\) | |||||||
\(212\) | 4.58315 | + | 28.4121i | 0.314772 | + | 1.95135i | ||||
\(213\) | 15.8248 | + | 4.12367i | 1.08430 | + | 0.282549i | ||||
\(214\) | 12.7388 | − | 14.9584i | 0.870807 | − | 1.02253i | ||||
\(215\) | 0.636834 | 0.0434317 | ||||||||
\(216\) | −14.2009 | + | 3.78619i | −0.966247 | + | 0.257617i | ||||
\(217\) | −0.0579655 | −0.00393496 | ||||||||
\(218\) | 12.2485 | − | 14.3827i | 0.829575 | − | 0.974118i | ||||
\(219\) | −16.1680 | + | 16.3922i | −1.09253 | + | 1.10768i | ||||
\(220\) | 10.1586 | − | 1.63868i | 0.684890 | − | 0.110479i | ||||
\(221\) | 0.857589 | − | 4.86363i | 0.0576877 | − | 0.327163i | ||||
\(222\) | −0.0347554 | + | 0.0243145i | −0.00233263 | + | 0.00163188i | ||||
\(223\) | 13.5037 | + | 16.0931i | 0.904277 | + | 1.07768i | 0.996636 | + | 0.0819499i | \(0.0261148\pi\) |
−0.0923592 | + | 0.995726i | \(0.529441\pi\) | |||||||
\(224\) | −0.0653656 | − | 0.202272i | −0.00436742 | − | 0.0135149i | ||||
\(225\) | −9.92476 | + | 1.89128i | −0.661650 | + | 0.126085i | ||||
\(226\) | −5.92034 | − | 7.16111i | −0.393815 | − | 0.476350i | ||||
\(227\) | −2.94969 | + | 0.520110i | −0.195778 | + | 0.0345209i | −0.270677 | − | 0.962670i | \(-0.587248\pi\) |
0.0748993 | + | 0.997191i | \(0.476136\pi\) | |||||||
\(228\) | −8.72800 | − | 6.21231i | −0.578026 | − | 0.411421i | ||||
\(229\) | 2.32907 | + | 6.39908i | 0.153910 | + | 0.422863i | 0.992552 | − | 0.121819i | \(-0.0388727\pi\) |
−0.838643 | + | 0.544682i | \(0.816650\pi\) | |||||||
\(230\) | −4.21223 | − | 0.0307515i | −0.277746 | − | 0.00202769i | ||||
\(231\) | −0.109134 | + | 0.238308i | −0.00718047 | + | 0.0156795i | ||||
\(232\) | 19.2346 | − | 15.4347i | 1.26281 | − | 1.01334i | ||||
\(233\) | 9.35687 | + | 5.40219i | 0.612989 | + | 0.353909i | 0.774134 | − | 0.633021i | \(-0.218185\pi\) |
−0.161145 | + | 0.986931i | \(0.551519\pi\) | |||||||
\(234\) | 3.40033 | + | 18.5804i | 0.222287 | + | 1.21464i | ||||
\(235\) | −5.99751 | − | 10.3880i | −0.391234 | − | 0.677638i | ||||
\(236\) | −0.0457323 | + | 3.13197i | −0.00297692 | + | 0.203874i | ||||
\(237\) | 15.4155 | + | 1.24178i | 1.00134 | + | 0.0806624i | ||||
\(238\) | 0.0298468 | − | 0.0508355i | 0.00193468 | − | 0.00329518i | ||||
\(239\) | 6.88390 | + | 5.77628i | 0.445282 | + | 0.373636i | 0.837682 | − | 0.546159i | \(-0.183910\pi\) |
−0.392399 | + | 0.919795i | \(0.628355\pi\) | |||||||
\(240\) | 8.10352 | − | 3.56081i | 0.523080 | − | 0.229849i | ||||
\(241\) | 7.68472 | + | 2.79701i | 0.495016 | + | 0.180171i | 0.577451 | − | 0.816425i | \(-0.304047\pi\) |
−0.0824349 | + | 0.996596i | \(0.526270\pi\) | |||||||
\(242\) | −6.91500 | − | 2.57418i | −0.444513 | − | 0.165474i | ||||
\(243\) | 15.1872 | + | 3.51390i | 0.974262 | + | 0.225417i | ||||
\(244\) | 18.3329 | − | 21.2114i | 1.17364 | − | 1.35792i | ||||
\(245\) | 8.40205 | + | 3.05809i | 0.536787 | + | 0.195374i | ||||
\(246\) | −3.35854 | − | 0.295237i | −0.214132 | − | 0.0188236i | ||||
\(247\) | −8.85042 | + | 10.5475i | −0.563139 | + | 0.671123i | ||||
\(248\) | −1.40209 | − | 4.13157i | −0.0890328 | − | 0.262355i | ||||
\(249\) | −20.8645 | − | 1.68073i | −1.32223 | − | 0.106512i | ||||
\(250\) | 14.2443 | − | 5.06704i | 0.900888 | − | 0.320468i | ||||
\(251\) | 16.1945 | − | 9.34989i | 1.02219 | − | 0.590160i | 0.107450 | − | 0.994210i | \(-0.465731\pi\) |
0.914737 | + | 0.404051i | \(0.132398\pi\) | |||||||
\(252\) | −0.0393359 | + | 0.222008i | −0.00247793 | + | 0.0139852i | ||||
\(253\) | 8.13096 | + | 4.69441i | 0.511189 | + | 0.295135i | ||||
\(254\) | −24.9545 | − | 4.58823i | −1.56578 | − | 0.287891i | ||||
\(255\) | 2.23175 | + | 1.02203i | 0.139757 | + | 0.0640021i | ||||
\(256\) | 12.8361 | − | 9.55164i | 0.802258 | − | 0.596978i | ||||
\(257\) | −4.78002 | − | 13.1330i | −0.298170 | − | 0.819214i | −0.994806 | − | 0.101790i | \(-0.967543\pi\) |
0.696636 | − | 0.717424i | \(-0.254679\pi\) | |||||||
\(258\) | −1.17926 | − | 0.316505i | −0.0734174 | − | 0.0197048i | ||||
\(259\) | 0.000112994 | 0 | 0.000640821i | 7.02111e−6 | 0 | 3.98187e-5i | ||||
\(260\) | −3.73433 | − | 10.7456i | −0.231594 | − | 0.666415i | ||||
\(261\) | −25.6953 | + | 4.89656i | −1.59050 | + | 0.303089i | ||||
\(262\) | −21.2106 | + | 3.58054i | −1.31039 | + | 0.221206i | ||||
\(263\) | −14.3635 | + | 12.0524i | −0.885694 | + | 0.743186i | −0.967342 | − | 0.253475i | \(-0.918426\pi\) |
0.0816475 | + | 0.996661i | \(0.473982\pi\) | |||||||
\(264\) | −19.6255 | − | 2.01436i | −1.20787 | − | 0.123976i | ||||
\(265\) | −3.19235 | + | 18.1047i | −0.196104 | + | 1.11216i | ||||
\(266\) | −0.142928 | + | 0.0811338i | −0.00876345 | + | 0.00497463i | ||||
\(267\) | 9.82540 | + | 9.69102i | 0.601305 | + | 0.593081i | ||||
\(268\) | 8.21803 | + | 14.7265i | 0.501996 | + | 0.899564i | ||||
\(269\) | 1.60260 | 0.0977123 | 0.0488561 | − | 0.998806i | \(-0.484442\pi\) | ||||
0.0488561 | + | 0.998806i | \(0.484442\pi\) | |||||||
\(270\) | −9.36264 | − | 0.693252i | −0.569792 | − | 0.0421900i | ||||
\(271\) | − | 1.09029i | − | 0.0662304i | −0.999452 | − | 0.0331152i | \(-0.989457\pi\) | ||
0.999452 | − | 0.0331152i | \(-0.0105428\pi\) | |||||||
\(272\) | 4.34532 | + | 0.897746i | 0.263473 | + | 0.0544339i | ||||
\(273\) | 0.280411 | + | 0.0730703i | 0.0169713 | + | 0.00442242i | ||||
\(274\) | 12.6137 | − | 7.16024i | 0.762020 | − | 0.432566i | ||||
\(275\) | −13.3563 | − | 2.35508i | −0.805417 | − | 0.142017i | ||||
\(276\) | 7.78472 | + | 2.15041i | 0.468585 | + | 0.129440i | ||||
\(277\) | −15.6324 | − | 18.6300i | −0.939260 | − | 1.11937i | −0.992678 | − | 0.120794i | \(-0.961456\pi\) |
0.0534180 | − | 0.998572i | \(-0.482988\pi\) | |||||||
\(278\) | 5.08330 | + | 30.1127i | 0.304876 | + | 1.80604i | ||||
\(279\) | −0.740749 | + | 4.56799i | −0.0443475 | + | 0.273478i | ||||
\(280\) | 0.00297369 | − | 0.135756i | 0.000177712 | − | 0.00811298i | ||||
\(281\) | −1.76346 | + | 0.310946i | −0.105199 | + | 0.0185495i | −0.226000 | − | 0.974127i | \(-0.572565\pi\) |
0.120801 | + | 0.992677i | \(0.461454\pi\) | |||||||
\(282\) | 5.94308 | + | 22.2167i | 0.353905 | + | 1.32299i | ||||
\(283\) | −3.16461 | + | 1.15182i | −0.188117 | + | 0.0684688i | −0.434361 | − | 0.900739i | \(-0.643026\pi\) |
0.246244 | + | 0.969208i | \(0.420803\pi\) | |||||||
\(284\) | 17.6482 | + | 6.71680i | 1.04723 | + | 0.398569i | ||||
\(285\) | −3.96374 | − | 5.57866i | −0.234792 | − | 0.330451i | ||||
\(286\) | −4.58517 | + | 24.9378i | −0.271127 | + | 1.47460i | ||||
\(287\) | −0.0258610 | + | 0.0447926i | −0.00152653 | + | 0.00264402i | ||||
\(288\) | −16.7754 | + | 2.56629i | −0.988500 | + | 0.151220i | ||||
\(289\) | −7.88476 | − | 13.6568i | −0.463809 | − | 0.803341i | ||||
\(290\) | 14.8426 | − | 5.27987i | 0.871586 | − | 0.310044i | ||||
\(291\) | 0.866760 | − | 0.411466i | 0.0508104 | − | 0.0241206i | ||||
\(292\) | −20.6134 | + | 16.7900i | −1.20631 | + | 0.982559i | ||||
\(293\) | −19.4842 | − | 16.3492i | −1.13828 | − | 0.955130i | −0.138898 | − | 0.990307i | \(-0.544356\pi\) |
−0.999381 | + | 0.0351766i | \(0.988801\pi\) | |||||||
\(294\) | −14.0386 | − | 9.83863i | −0.818749 | − | 0.573800i | ||||
\(295\) | −0.684343 | + | 1.88022i | −0.0398440 | + | 0.109470i | ||||
\(296\) | −0.0429423 | + | 0.0235542i | −0.00249597 | + | 0.00136906i | ||||
\(297\) | 17.3853 | + | 11.6457i | 1.00880 | + | 0.675751i | ||||
\(298\) | 16.4155 | + | 6.11083i | 0.950924 | + | 0.353991i | ||||
\(299\) | 3.55012 | − | 9.75388i | 0.205309 | − | 0.564081i | ||||
\(300\) | −11.6295 | + | 0.927096i | −0.671427 | + | 0.0535259i | ||||
\(301\) | −0.0120402 | + | 0.0143490i | −0.000693988 | + | 0.000827062i | ||||
\(302\) | −10.1900 | − | 5.98283i | −0.586371 | − | 0.344273i | ||||
\(303\) | 1.36967 | + | 0.945062i | 0.0786852 | + | 0.0542924i | ||||
\(304\) | −9.24010 | − | 8.22486i | −0.529956 | − | 0.471728i | ||||
\(305\) | 15.5098 | − | 8.95458i | 0.888088 | − | 0.512738i | ||||
\(306\) | −3.62469 | − | 3.00172i | −0.207210 | − | 0.171597i | ||||
\(307\) | −13.4800 | + | 23.3481i | −0.769346 | + | 1.33255i | 0.168572 | + | 0.985689i | \(0.446084\pi\) |
−0.937918 | + | 0.346857i | \(0.887249\pi\) | |||||||
\(308\) | −0.155139 | + | 0.259872i | −0.00883989 | + | 0.0148076i | ||||
\(309\) | −0.899940 | − | 9.53009i | −0.0511958 | − | 0.542148i | ||||
\(310\) | 0.0203463 | − | 2.78697i | 0.00115559 | − | 0.158289i | ||||
\(311\) | 23.0984 | − | 8.40714i | 1.30979 | − | 0.476725i | 0.409618 | − | 0.912257i | \(-0.365662\pi\) |
0.900173 | + | 0.435532i | \(0.143440\pi\) | |||||||
\(312\) | 1.57450 | + | 21.7542i | 0.0891386 | + | 1.23159i | ||||
\(313\) | 0.589807 | + | 3.34496i | 0.0333379 | + | 0.189069i | 0.996929 | − | 0.0783120i | \(-0.0249530\pi\) |
−0.963591 | + | 0.267381i | \(0.913842\pi\) | |||||||
\(314\) | 6.71340 | + | 8.12039i | 0.378859 | + | 0.458260i | ||||
\(315\) | −0.0702883 | + | 0.125710i | −0.00396030 | + | 0.00708294i | ||||
\(316\) | 17.5395 | + | 3.35743i | 0.986671 | + | 0.188870i | ||||
\(317\) | 16.0239 | − | 13.4456i | 0.899991 | − | 0.755182i | −0.0701973 | − | 0.997533i | \(-0.522363\pi\) |
0.970189 | + | 0.242351i | \(0.0779184\pi\) | |||||||
\(318\) | 14.9094 | − | 31.9388i | 0.836079 | − | 1.79104i | ||||
\(319\) | −34.5797 | − | 6.09734i | −1.93609 | − | 0.341385i | ||||
\(320\) | 9.74813 | − | 3.07176i | 0.544937 | − | 0.171717i | ||||
\(321\) | −23.2000 | + | 6.38795i | −1.29490 | + | 0.356541i | ||||
\(322\) | 0.0803310 | − | 0.0943276i | 0.00447667 | − | 0.00525667i | ||||
\(323\) | − | 3.43054i | − | 0.190881i | ||||||
\(324\) | 16.9927 | + | 5.93694i | 0.944040 | + | 0.329830i | ||||
\(325\) | 14.9939i | 0.831714i | ||||||||
\(326\) | 9.39677 | + | 8.00245i | 0.520439 | + | 0.443215i | ||||
\(327\) | −22.3071 | + | 6.14210i | −1.23359 | + | 0.339659i | ||||
\(328\) | −3.81819 | − | 0.759821i | −0.210824 | − | 0.0419541i | ||||
\(329\) | 0.347451 | + | 0.0612650i | 0.0191556 | + | 0.00337765i | ||||
\(330\) | −11.4195 | − | 5.33077i | −0.628623 | − | 0.293449i | ||||
\(331\) | 21.5215 | − | 18.0587i | 1.18293 | − | 0.992594i | 0.182972 | − | 0.983118i | \(-0.441428\pi\) |
0.999955 | − | 0.00947543i | \(-0.00301617\pi\) | |||||||
\(332\) | −23.7393 | − | 4.54421i | −1.30286 | − | 0.249396i | ||||
\(333\) | 0.0519440 | 0.000715390i | 0.00284652 | 3.92032e-5i | ||||||
\(334\) | 8.07415 | − | 6.67518i | 0.441798 | − | 0.365250i | ||||
\(335\) | 1.87067 | + | 10.6091i | 0.102206 | + | 0.579638i | ||||
\(336\) | −0.0729771 | + | 0.249908i | −0.00398122 | + | 0.0136336i | ||||
\(337\) | 16.1167 | − | 5.86598i | 0.877930 | − | 0.319540i | 0.136556 | − | 0.990632i | \(-0.456397\pi\) |
0.741374 | + | 0.671092i | \(0.234174\pi\) | |||||||
\(338\) | 9.64719 | + | 0.0704294i | 0.524738 | + | 0.00383086i | ||||
\(339\) | 1.06984 | + | 11.3293i | 0.0581059 | + | 0.615324i | ||||
\(340\) | 2.43368 | + | 1.45287i | 0.131985 | + | 0.0787931i | ||||
\(341\) | −3.10600 | + | 5.37975i | −0.168199 | + | 0.291330i | ||||
\(342\) | 4.56728 | + | 12.3003i | 0.246970 | + | 0.665122i | ||||
\(343\) | −0.455559 | + | 0.263017i | −0.0245979 | + | 0.0142016i | ||||
\(344\) | −1.31398 | − | 0.511106i | −0.0708449 | − | 0.0275570i | ||||
\(345\) | 4.24632 | + | 2.92994i | 0.228614 | + | 0.157743i | ||||
\(346\) | −4.54491 | + | 7.74096i | −0.244336 | + | 0.416156i | ||||
\(347\) | 3.20624 | − | 3.82105i | 0.172120 | − | 0.205125i | −0.673087 | − | 0.739563i | \(-0.735032\pi\) |
0.845208 | + | 0.534438i | \(0.179477\pi\) | |||||||
\(348\) | −30.1088 | + | 2.40026i | −1.61400 | + | 0.128668i | ||||
\(349\) | −0.573161 | + | 1.57475i | −0.0306806 | + | 0.0842943i | −0.954087 | − | 0.299529i | \(-0.903171\pi\) |
0.923407 | + | 0.383823i | \(0.125393\pi\) | |||||||
\(350\) | −0.0624387 | + | 0.167729i | −0.00333749 | + | 0.00896549i | ||||
\(351\) | 9.34174 | − | 21.1641i | 0.498625 | − | 1.12966i | ||||
\(352\) | −22.2753 | − | 4.77191i | −1.18728 | − | 0.254344i | ||||
\(353\) | 10.7094 | − | 29.4240i | 0.570006 | − | 1.56608i | −0.234489 | − | 0.972119i | \(-0.575342\pi\) |
0.804495 | − | 0.593960i | \(-0.202436\pi\) | |||||||
\(354\) | 2.20170 | − | 3.14157i | 0.117019 | − | 0.166973i | ||||
\(355\) | 9.24032 | + | 7.75355i | 0.490425 | + | 0.411516i | ||||
\(356\) | 10.0638 | + | 12.3555i | 0.533380 | + | 0.654842i | ||||
\(357\) | −0.0652224 | + | 0.0309622i | −0.00345194 | + | 0.00163870i | ||||
\(358\) | 5.92417 | + | 16.6538i | 0.313102 | + | 0.880181i | ||||
\(359\) | −14.7790 | − | 25.5979i | −0.780004 | − | 1.35101i | −0.931938 | − | 0.362617i | \(-0.881883\pi\) |
0.151934 | − | 0.988391i | \(-0.451450\pi\) | |||||||
\(360\) | −10.6603 | − | 1.96919i | −0.561847 | − | 0.103785i | ||||
\(361\) | 4.71788 | − | 8.17161i | 0.248309 | − | 0.430085i | ||||
\(362\) | 31.6171 | + | 5.81325i | 1.66176 | + | 0.305538i | ||||
\(363\) | 5.23419 | + | 7.36672i | 0.274724 | + | 0.386652i | ||||
\(364\) | 0.312721 | + | 0.119020i | 0.0163910 | + | 0.00623833i | ||||
\(365\) | −15.9587 | + | 5.80849i | −0.835316 | + | 0.304030i | ||||
\(366\) | −33.1707 | + | 8.87331i | −1.73386 | + | 0.463815i | ||||
\(367\) | −19.6688 | + | 3.46814i | −1.02670 | + | 0.181035i | −0.661541 | − | 0.749909i | \(-0.730097\pi\) |
−0.365162 | + | 0.930944i | \(0.618986\pi\) | |||||||
\(368\) | 8.66640 | + | 3.44407i | 0.451767 | + | 0.179535i | ||||
\(369\) | 3.19941 | + | 2.61039i | 0.166555 | + | 0.135892i | ||||
\(370\) | −0.0308502 | + | 0.00520780i | −0.00160383 | + | 0.000270740i | ||||
\(371\) | −0.347575 | − | 0.414223i | −0.0180452 | − | 0.0215054i | ||||
\(372\) | −1.42279 | + | 5.15066i | −0.0737684 | + | 0.267049i | ||||
\(373\) | 29.7847 | + | 5.25185i | 1.54219 | + | 0.271930i | 0.879112 | − | 0.476616i | \(-0.158137\pi\) |
0.663082 | + | 0.748546i | \(0.269248\pi\) | |||||||
\(374\) | −3.11872 | − | 5.49401i | −0.161265 | − | 0.284089i | ||||
\(375\) | −17.9182 | − | 4.66917i | −0.925291 | − | 0.241115i | ||||
\(376\) | 4.03752 | + | 26.2469i | 0.208219 | + | 1.35358i | ||||
\(377\) | 38.8195i | 1.99931i | ||||||||
\(378\) | 0.192634 | − | 0.197850i | 0.00990802 | − | 0.0101763i | ||||
\(379\) | −2.37587 | −0.122040 | −0.0610201 | − | 0.998137i | \(-0.519435\pi\) | ||||
−0.0610201 | + | 0.998137i | \(0.519435\pi\) | |||||||
\(380\) | −3.85073 | − | 6.90040i | −0.197538 | − | 0.353983i | ||||
\(381\) | 22.1242 | + | 21.8216i | 1.13346 | + | 1.11796i | ||||
\(382\) | 2.62364 | + | 4.62187i | 0.134237 | + | 0.236476i | ||||
\(383\) | 2.35543 | − | 13.3583i | 0.120357 | − | 0.682578i | −0.863601 | − | 0.504176i | \(-0.831796\pi\) |
0.983958 | − | 0.178402i | \(-0.0570926\pi\) | |||||||
\(384\) | −19.5778 | + | 0.843334i | −0.999074 | + | 0.0430362i | ||||
\(385\) | −0.148103 | + | 0.124273i | −0.00754803 | + | 0.00633355i | ||||
\(386\) | 5.82490 | + | 34.5058i | 0.296480 | + | 1.75630i | ||||
\(387\) | 0.976912 | + | 1.13220i | 0.0496592 | + | 0.0575530i | ||||
\(388\) | 1.04650 | − | 0.363683i | 0.0531282 | − | 0.0184632i | ||||
\(389\) | 0.151459 | + | 0.858969i | 0.00767929 | + | 0.0435514i | 0.988407 | − | 0.151830i | \(-0.0485166\pi\) |
−0.980727 | + | 0.195381i | \(0.937406\pi\) | |||||||
\(390\) | −3.61163 | + | 13.4565i | −0.182882 | + | 0.681395i | ||||
\(391\) | 0.884524 | + | 2.43021i | 0.0447323 | + | 0.122901i | ||||
\(392\) | −14.8816 | − | 13.0530i | −0.751632 | − | 0.659276i | ||||
\(393\) | 23.9528 | + | 10.9692i | 1.20826 | + | 0.553325i | ||||
\(394\) | 1.18601 | − | 6.45048i | 0.0597504 | − | 0.324970i | ||||
\(395\) | 9.87916 | + | 5.70374i | 0.497074 | + | 0.286986i | ||||
\(396\) | 18.4967 | + | 15.5467i | 0.929494 | + | 0.781252i | ||||
\(397\) | 14.0922 | − | 8.13615i | 0.707269 | − | 0.408342i | −0.102780 | − | 0.994704i | \(-0.532774\pi\) |
0.810049 | + | 0.586362i | \(0.199440\pi\) | |||||||
\(398\) | −7.01459 | − | 19.7192i | −0.351610 | − | 0.988433i | ||||
\(399\) | 0.200637 | + | 0.0161622i | 0.0100444 | + | 0.000809121i | ||||
\(400\) | −13.4654 | − | 0.393322i | −0.673270 | − | 0.0196661i | ||||
\(401\) | −3.43727 | + | 4.09638i | −0.171649 | + | 0.204563i | −0.845010 | − | 0.534751i | \(-0.820406\pi\) |
0.673361 | + | 0.739314i | \(0.264850\pi\) | |||||||
\(402\) | 1.80869 | − | 20.5752i | 0.0902093 | − | 1.02620i | ||||
\(403\) | 6.45352 | + | 2.34889i | 0.321473 | + | 0.117007i | ||||
\(404\) | 1.45377 | + | 1.25648i | 0.0723276 | + | 0.0625121i | ||||
\(405\) | 9.00836 | + | 7.14555i | 0.447629 | + | 0.355065i | ||||
\(406\) | −0.161655 | + | 0.434252i | −0.00802279 | + | 0.0215516i | ||||
\(407\) | 0.0655289 | + | 0.0238506i | 0.00324815 | + | 0.00118223i | ||||
\(408\) | −3.78450 | − | 3.89989i | −0.187361 | − | 0.193073i | ||||
\(409\) | −3.30579 | − | 2.77389i | −0.163461 | − | 0.137160i | 0.557388 | − | 0.830252i | \(-0.311803\pi\) |
−0.720849 | + | 0.693092i | \(0.756248\pi\) | |||||||
\(410\) | −2.14454 | − | 1.25911i | −0.105911 | − | 0.0621832i | ||||
\(411\) | −17.7067 | − | 1.42635i | −0.873406 | − | 0.0703566i | ||||
\(412\) | 0.161382 | − | 11.0522i | 0.00795071 | − | 0.544502i | ||||
\(413\) | −0.0294261 | − | 0.0509675i | −0.00144796 | − | 0.00250795i | ||||
\(414\) | −6.40695 | − | 7.53593i | −0.314884 | − | 0.370371i | ||||
\(415\) | −13.3712 | − | 7.71988i | −0.656368 | − | 0.378954i | ||||
\(416\) | −0.919106 | + | 25.1685i | −0.0450629 | + | 1.23399i | ||||
\(417\) | 15.5731 | − | 34.0059i | 0.762616 | − | 1.66528i | ||||
\(418\) | −0.128580 | + | 17.6125i | −0.00628905 | + | 0.861454i | ||||
\(419\) | −7.20187 | − | 19.7870i | −0.351834 | − | 0.966657i | −0.981781 | − | 0.190018i | \(-0.939145\pi\) |
0.629946 | − | 0.776639i | \(-0.283077\pi\) | |||||||
\(420\) | −0.0964377 | + | 0.135490i | −0.00470568 | + | 0.00661125i | ||||
\(421\) | 14.9273 | − | 2.63209i | 0.727513 | − | 0.128280i | 0.202388 | − | 0.979305i | \(-0.435130\pi\) |
0.525125 | + | 0.851025i | \(0.324019\pi\) | |||||||
\(422\) | 12.8401 | − | 10.6154i | 0.625047 | − | 0.516748i | ||||
\(423\) | 9.26812 | − | 26.5980i | 0.450631 | − | 1.29324i | ||||
\(424\) | 21.1171 | − | 34.7932i | 1.02554 | − | 1.68971i | ||||
\(425\) | −2.40132 | − | 2.86178i | −0.116481 | − | 0.138817i | ||||
\(426\) | −13.2573 | − | 18.9501i | −0.642317 | − | 0.918133i | ||||
\(427\) | −0.0914717 | + | 0.518762i | −0.00442662 | + | 0.0251046i | ||||
\(428\) | −27.4314 | + | 4.42495i | −1.32594 | + | 0.213888i | ||||
\(429\) | 21.8071 | − | 22.1095i | 1.05285 | − | 1.06745i | ||||
\(430\) | −0.685670 | − | 0.583928i | −0.0330660 | − | 0.0281595i | ||||
\(431\) | 17.8689 | 0.860714 | 0.430357 | − | 0.902659i | \(-0.358388\pi\) | ||||
0.430357 | + | 0.902659i | \(0.358388\pi\) | |||||||
\(432\) | 18.7615 | + | 8.94458i | 0.902664 | + | 0.430347i | ||||
\(433\) | 6.59150 | 0.316767 | 0.158384 | − | 0.987378i | \(-0.449372\pi\) | ||||
0.158384 | + | 0.987378i | \(0.449372\pi\) | |||||||
\(434\) | 0.0624106 | + | 0.0531500i | 0.00299581 | + | 0.00255128i | ||||
\(435\) | −18.6708 | − | 4.86528i | −0.895195 | − | 0.233272i | ||||
\(436\) | −26.3756 | + | 4.25465i | −1.26316 | + | 0.203761i | ||||
\(437\) | 1.25203 | − | 7.10063i | 0.0598928 | − | 0.339669i | ||||
\(438\) | 32.4383 | − | 2.82443i | 1.54996 | − | 0.134957i | ||||
\(439\) | 24.6051 | + | 29.3233i | 1.17434 | + | 1.39952i | 0.898871 | + | 0.438213i | \(0.144388\pi\) |
0.275468 | + | 0.961310i | \(0.411167\pi\) | |||||||
\(440\) | −12.4401 | − | 7.55028i | −0.593059 | − | 0.359946i | ||||
\(441\) | 7.45199 | + | 19.6288i | 0.354857 | + | 0.934705i | ||||
\(442\) | −5.38293 | + | 4.45025i | −0.256040 | + | 0.211677i | ||||
\(443\) | 25.9385 | − | 4.57366i | 1.23237 | − | 0.217301i | 0.480730 | − | 0.876869i | \(-0.340372\pi\) |
0.751645 | + | 0.659568i | \(0.229261\pi\) | |||||||
\(444\) | 0.0597151 | + | 0.00568895i | 0.00283395 | + | 0.000269986i | ||||
\(445\) | 3.48157 | + | 9.56554i | 0.165042 | + | 0.453450i | ||||
\(446\) | 0.216892 | − | 29.7091i | 0.0102701 | − | 1.40677i | ||||
\(447\) | −12.4254 | − | 17.4878i | −0.587703 | − | 0.827146i | ||||
\(448\) | −0.115090 | + | 0.277718i | −0.00543748 | + | 0.0131210i | ||||
\(449\) | −25.4654 | − | 14.7025i | −1.20179 | − | 0.693852i | −0.240835 | − | 0.970566i | \(-0.577421\pi\) |
−0.960952 | + | 0.276714i | \(0.910755\pi\) | |||||||
\(450\) | 12.4200 | + | 7.06393i | 0.585484 | + | 0.332997i | ||||
\(451\) | 2.77145 | + | 4.80029i | 0.130503 | + | 0.226037i | ||||
\(452\) | −0.191850 | + | 13.1388i | −0.00902385 | + | 0.617996i | ||||
\(453\) | 6.20642 | + | 13.0739i | 0.291603 | + | 0.614266i | ||||
\(454\) | 3.65279 | + | 2.14465i | 0.171434 | + | 0.100653i | ||||
\(455\) | 0.163736 | + | 0.137391i | 0.00767606 | + | 0.00644098i | ||||
\(456\) | 3.70110 | + | 14.6916i | 0.173320 | + | 0.687998i | ||||
\(457\) | −11.4536 | − | 4.16878i | −0.535778 | − | 0.195007i | 0.0599382 | − | 0.998202i | \(-0.480910\pi\) |
−0.595717 | + | 0.803195i | \(0.703132\pi\) | |||||||
\(458\) | 3.35978 | − | 9.02537i | 0.156992 | − | 0.421728i | ||||
\(459\) | 1.60650 | + | 5.53554i | 0.0749851 | + | 0.258377i | ||||
\(460\) | 4.50705 | + | 3.89540i | 0.210142 | + | 0.181624i | ||||
\(461\) | 3.68812 | + | 1.34237i | 0.171773 | + | 0.0625203i | 0.426475 | − | 0.904499i | \(-0.359755\pi\) |
−0.254702 | + | 0.967020i | \(0.581977\pi\) | |||||||
\(462\) | 0.336013 | − | 0.156516i | 0.0156328 | − | 0.00728178i | ||||
\(463\) | −3.95108 | + | 4.70872i | −0.183622 | + | 0.218833i | −0.850001 | − | 0.526781i | \(-0.823399\pi\) |
0.666379 | + | 0.745613i | \(0.267843\pi\) | |||||||
\(464\) | −34.8621 | − | 1.01832i | −1.61843 | − | 0.0472741i | ||||
\(465\) | −1.93856 | + | 2.80952i | −0.0898984 | + | 0.130288i | ||||
\(466\) | −5.12101 | − | 14.3960i | −0.237226 | − | 0.666882i | ||||
\(467\) | −17.5858 | + | 10.1531i | −0.813772 | + | 0.469832i | −0.848264 | − | 0.529573i | \(-0.822352\pi\) |
0.0344919 | + | 0.999405i | \(0.489019\pi\) | |||||||
\(468\) | 13.3757 | − | 23.1230i | 0.618291 | − | 1.06886i | ||||
\(469\) | −0.274410 | − | 0.158431i | −0.0126711 | − | 0.00731565i | ||||
\(470\) | −3.06756 | + | 16.6838i | −0.141496 | + | 0.769569i | ||||
\(471\) | −1.21315 | − | 12.8469i | −0.0558992 | − | 0.591956i | ||||
\(472\) | 2.92101 | − | 3.33021i | 0.134450 | − | 0.153285i | ||||
\(473\) | 0.686563 | + | 1.88632i | 0.0315682 | + | 0.0867330i | ||||
\(474\) | −15.4590 | − | 15.4718i | −0.710055 | − | 0.710644i | ||||
\(475\) | 1.80859 | + | 10.2570i | 0.0829837 | + | 0.470624i | ||||
\(476\) | −0.0787479 | + | 0.0273666i | −0.00360941 | + | 0.00125435i | ||||
\(477\) | −37.0847 | + | 22.0973i | −1.69799 | + | 1.01177i | ||||
\(478\) | −2.11539 | − | 12.5312i | −0.0967556 | − | 0.573166i | ||||
\(479\) | 0.0276350 | − | 0.0231885i | 0.00126268 | − | 0.00105951i | −0.642156 | − | 0.766574i | \(-0.721960\pi\) |
0.643419 | + | 0.765514i | \(0.277515\pi\) | |||||||
\(480\) | −11.9899 | − | 3.59644i | −0.547263 | − | 0.164154i | ||||
\(481\) | 0.0133874 | − | 0.0759239i | 0.000610414 | − | 0.00346183i | ||||
\(482\) | −5.70938 | − | 10.0578i | −0.260055 | − | 0.458120i | ||||
\(483\) | −0.146299 | + | 0.0402825i | −0.00665685 | + | 0.00183292i | ||||
\(484\) | 5.08495 | + | 9.11210i | 0.231134 | + | 0.414186i | ||||
\(485\) | 0.707715 | 0.0321357 | ||||||||
\(486\) | −13.1299 | − | 17.7089i | −0.595585 | − | 0.803292i | ||||
\(487\) | − | 27.8804i | − | 1.26338i | −0.775220 | − | 0.631692i | \(-0.782361\pi\) | ||
0.775220 | − | 0.631692i | \(-0.217639\pi\) | |||||||
\(488\) | −39.1880 | + | 6.02822i | −1.77396 | + | 0.272885i | ||||
\(489\) | −4.01288 | − | 14.5741i | −0.181469 | − | 0.659064i | ||||
\(490\) | −6.24232 | − | 10.9966i | −0.281999 | − | 0.496777i | ||||
\(491\) | 4.20879 | + | 0.742123i | 0.189940 | + | 0.0334916i | 0.267809 | − | 0.963472i | \(-0.413700\pi\) |
−0.0778688 | + | 0.996964i | \(0.524812\pi\) | |||||||
\(492\) | 3.34538 | + | 3.39740i | 0.150821 | + | 0.153167i | ||||
\(493\) | −6.21704 | − | 7.40918i | −0.280002 | − | 0.333693i | ||||
\(494\) | 19.2004 | − | 3.24120i | 0.863867 | − | 0.145829i | ||||
\(495\) | 7.90075 | + | 13.2594i | 0.355112 | + | 0.595965i | ||||
\(496\) | −2.27873 | + | 5.73401i | −0.102318 | + | 0.257465i | ||||
\(497\) | −0.349402 | + | 0.0616090i | −0.0156728 | + | 0.00276354i | ||||
\(498\) | 20.9234 | + | 20.9408i | 0.937600 | + | 0.938378i | ||||
\(499\) | −16.1486 | + | 5.87762i | −0.722912 | + | 0.263119i | −0.677162 | − | 0.735834i | \(-0.736790\pi\) |
−0.0457508 | + | 0.998953i | \(0.514568\pi\) | |||||||
\(500\) | −19.9827 | − | 7.60532i | −0.893654 | − | 0.340120i | ||||
\(501\) | −12.7738 | + | 1.20625i | −0.570691 | + | 0.0538912i | ||||
\(502\) | −26.0095 | − | 4.78221i | −1.16086 | − | 0.213441i | ||||
\(503\) | −13.1215 | + | 22.7271i | −0.585059 | + | 1.01335i | 0.409809 | + | 0.912171i | \(0.365595\pi\) |
−0.994868 | + | 0.101180i | \(0.967738\pi\) | |||||||
\(504\) | 0.245917 | − | 0.202965i | 0.0109540 | − | 0.00904078i | ||||
\(505\) | 0.613719 | + | 1.06299i | 0.0273101 | + | 0.0473025i | ||||
\(506\) | −4.45007 | − | 12.5099i | −0.197830 | − | 0.556132i | ||||
\(507\) | −9.72526 | − | 6.71038i | −0.431914 | − | 0.298018i | ||||
\(508\) | 22.6611 | + | 27.8214i | 1.00542 | + | 1.23438i | ||||
\(509\) | −16.9060 | − | 14.1858i | −0.749347 | − | 0.628777i | 0.185983 | − | 0.982553i | \(-0.440453\pi\) |
−0.935330 | + | 0.353776i | \(0.884897\pi\) | |||||||
\(510\) | −1.46576 | − | 3.14675i | −0.0649051 | − | 0.139340i | ||||
\(511\) | 0.170846 | − | 0.469395i | 0.00755777 | − | 0.0207648i | ||||
\(512\) | −22.5786 | − | 1.48563i | −0.997842 | − | 0.0656562i | ||||
\(513\) | 3.83763 | − | 15.6047i | 0.169436 | − | 0.688965i | ||||
\(514\) | −6.89538 | + | 18.5230i | −0.304142 | + | 0.817016i | ||||
\(515\) | 2.41493 | − | 6.63497i | 0.106415 | − | 0.292372i | ||||
\(516\) | 0.979478 | + | 1.42207i | 0.0431191 | + | 0.0626030i | ||||
\(517\) | 24.3036 | − | 28.9639i | 1.06887 | − | 1.27383i | ||||
\(518\) | 0.000465925 | 0 | 0.000793570i | 2.04716e−5 | 0 | 3.48675e-5i | ||||
\(519\) | 9.93172 | − | 4.71476i | 0.435954 | − | 0.206955i | ||||
\(520\) | −5.83221 | + | 14.9938i | −0.255759 | + | 0.657520i | ||||
\(521\) | 22.9164 | − | 13.2308i | 1.00399 | − | 0.579652i | 0.0945615 | − | 0.995519i | \(-0.469855\pi\) |
0.909426 | + | 0.415867i | \(0.136522\pi\) | |||||||
\(522\) | 32.1556 | + | 18.2886i | 1.40741 | + | 0.800470i | ||||
\(523\) | 17.4375 | − | 30.2027i | 0.762490 | − | 1.32067i | −0.179074 | − | 0.983836i | \(-0.557310\pi\) |
0.941564 | − | 0.336835i | \(-0.109357\pi\) | |||||||
\(524\) | 26.1202 | + | 15.5934i | 1.14107 | + | 0.681199i | ||||
\(525\) | 0.178686 | − | 0.126960i | 0.00779849 | − | 0.00554097i | ||||
\(526\) | 26.5162 | + | 0.193582i | 1.15616 | + | 0.00844057i | ||||
\(527\) | −1.60792 | + | 0.585234i | −0.0700419 | + | 0.0254932i | ||||
\(528\) | 19.2835 | + | 20.1639i | 0.839206 | + | 0.877523i | ||||
\(529\) | −3.05004 | − | 17.2976i | −0.132611 | − | 0.752072i | ||||
\(530\) | 20.0378 | − | 16.5659i | 0.870385 | − | 0.719578i | ||||
\(531\) | −4.39255 | + | 1.66761i | −0.190620 | + | 0.0723682i | ||||
\(532\) | 0.228281 | + | 0.0436980i | 0.00989726 | + | 0.00189455i | ||||
\(533\) | 4.69430 | − | 3.93899i | 0.203333 | − | 0.170617i | ||||
\(534\) | −1.69295 | − | 19.4433i | −0.0732610 | − | 0.841395i | ||||
\(535\) | −17.4798 | − | 3.08216i | −0.755716 | − | 0.133253i | ||||
\(536\) | 4.65484 | − | 23.3911i | 0.201058 | − | 1.01034i | ||||
\(537\) | 5.45899 | − | 20.9492i | 0.235573 | − | 0.904023i | ||||
\(538\) | −1.72550 | − | 1.46946i | −0.0743914 | − | 0.0633530i | ||||
\(539\) | 28.1839i | 1.21397i | ||||||||
\(540\) | 9.44496 | + | 9.33124i | 0.406446 | + | 0.401553i | ||||
\(541\) | − | 23.3686i | − | 1.00469i | −0.864666 | − | 0.502347i | \(-0.832470\pi\) | ||
0.864666 | − | 0.502347i | \(-0.167530\pi\) | |||||||
\(542\) | −0.999712 | + | 1.17390i | −0.0429413 | + | 0.0504233i | ||||
\(543\) | −28.0312 | − | 27.6478i | −1.20294 | − | 1.18648i | ||||
\(544\) | −3.85537 | − | 4.95091i | −0.165298 | − | 0.212269i | ||||
\(545\) | −16.8070 | − | 2.96353i | −0.719935 | − | 0.126944i | ||||
\(546\) | −0.234915 | − | 0.335790i | −0.0100534 | − | 0.0143705i | ||||
\(547\) | 2.47846 | − | 2.07967i | 0.105971 | − | 0.0889204i | −0.588263 | − | 0.808670i | \(-0.700188\pi\) |
0.694234 | + | 0.719750i | \(0.255743\pi\) | |||||||
\(548\) | −20.1464 | − | 3.85645i | −0.860609 | − | 0.164739i | ||||
\(549\) | 39.7122 | + | 13.8378i | 1.69488 | + | 0.590581i | ||||
\(550\) | 12.2211 | + | 14.7824i | 0.521111 | + | 0.630324i | ||||
\(551\) | 4.68246 | + | 26.5556i | 0.199480 | + | 1.13130i | ||||
\(552\) | −6.40993 | − | 9.45331i | −0.272825 | − | 0.402360i | ||||
\(553\) | −0.315294 | + | 0.114758i | −0.0134077 | + | 0.00488000i | ||||
\(554\) | −0.251082 | + | 34.3923i | −0.0106674 | + | 1.46119i | ||||
\(555\) | 0.0348388 | + | 0.0159545i | 0.00147882 | + | 0.000677229i | ||||
\(556\) | 22.1379 | − | 37.0829i | 0.938858 | − | 1.57267i | ||||
\(557\) | −14.4176 | + | 24.9721i | −0.610894 | + | 1.05810i | 0.380196 | + | 0.924906i | \(0.375857\pi\) |
−0.991090 | + | 0.133194i | \(0.957477\pi\) | |||||||
\(558\) | 4.98605 | − | 4.23907i | 0.211076 | − | 0.179454i | ||||
\(559\) | 1.92194 | − | 1.10963i | 0.0812894 | − | 0.0469324i | ||||
\(560\) | −0.127680 | + | 0.143440i | −0.00539545 | + | 0.00606145i | ||||
\(561\) | −0.621261 | + | 7.71232i | −0.0262296 | + | 0.325614i | ||||
\(562\) | 2.18381 | + | 1.28217i | 0.0921183 | + | 0.0540850i | ||||
\(563\) | −11.4121 | + | 13.6005i | −0.480964 | + | 0.573191i | −0.950895 | − | 0.309512i | \(-0.899834\pi\) |
0.469931 | + | 0.882703i | \(0.344279\pi\) | |||||||
\(564\) | 13.9722 | − | 29.3697i | 0.588336 | − | 1.23669i | ||||
\(565\) | −2.87086 | + | 7.88761i | −0.120778 | + | 0.331834i | ||||
\(566\) | 4.46342 | + | 1.66155i | 0.187612 | + | 0.0698403i | ||||
\(567\) | −0.331317 | + | 0.0678777i | −0.0139140 | + | 0.00285059i | ||||
\(568\) | −12.8427 | − | 23.4139i | −0.538869 | − | 0.982425i | ||||
\(569\) | −8.74755 | + | 24.0337i | −0.366716 | + | 1.00754i | 0.609886 | + | 0.792490i | \(0.291215\pi\) |
−0.976602 | + | 0.215055i | \(0.931007\pi\) | |||||||
\(570\) | −0.847499 | + | 9.64091i | −0.0354978 | + | 0.403813i | ||||
\(571\) | 12.8608 | + | 10.7915i | 0.538209 | + | 0.451611i | 0.870925 | − | 0.491416i | \(-0.163520\pi\) |
−0.332716 | + | 0.943027i | \(0.607965\pi\) | |||||||
\(572\) | 27.8028 | − | 22.6459i | 1.16249 | − | 0.946873i | ||||
\(573\) | 0.522639 | − | 6.48804i | 0.0218336 | − | 0.271042i | ||||
\(574\) | 0.0689156 | − | 0.0245150i | 0.00287648 | − | 0.00102323i | ||||
\(575\) | −3.92586 | − | 6.79978i | −0.163720 | − | 0.283571i | ||||
\(576\) | 20.4149 | + | 12.6187i | 0.850622 | + | 0.525778i | ||||
\(577\) | −4.28264 | + | 7.41775i | −0.178289 | + | 0.308805i | −0.941294 | − | 0.337587i | \(-0.890389\pi\) |
0.763006 | + | 0.646392i | \(0.223723\pi\) | |||||||
\(578\) | −4.03284 | + | 21.9338i | −0.167744 | + | 0.912326i | ||||
\(579\) | 17.8450 | − | 38.9670i | 0.741613 | − | 1.61941i | ||||
\(580\) | −20.8220 | − | 7.92475i | −0.864587 | − | 0.329057i | ||||
\(581\) | 0.426744 | − | 0.155322i | 0.0177043 | − | 0.00644385i | ||||
\(582\) | −1.31051 | − | 0.351733i | −0.0543224 | − | 0.0145798i | ||||
\(583\) | −57.0681 | + | 10.0627i | −2.36352 | + | 0.416752i | ||||
\(584\) | 37.5892 | + | 0.823379i | 1.55545 | + | 0.0340717i | ||||
\(585\) | 12.9195 | − | 11.1475i | 0.534156 | − | 0.460893i | ||||
\(586\) | 5.98740 | + | 35.4685i | 0.247337 | + | 1.46519i | ||||
\(587\) | 21.1215 | + | 25.1716i | 0.871778 | + | 1.03894i | 0.998892 | + | 0.0470560i | \(0.0149839\pi\) |
−0.127115 | + | 0.991888i | \(0.540572\pi\) | |||||||
\(588\) | 6.09391 | + | 23.4654i | 0.251309 | + | 0.967699i | ||||
\(589\) | 4.69804 | + | 0.828391i | 0.193579 | + | 0.0341333i | ||||
\(590\) | 2.46084 | − | 1.39691i | 0.101311 | − | 0.0575099i | ||||
\(591\) | −5.64067 | + | 5.71889i | −0.232026 | + | 0.235244i | ||||
\(592\) | 0.0678327 | + | 0.0140143i | 0.00278791 | + | 0.000575984i | ||||
\(593\) | 12.9354i | 0.531195i | 0.964084 | + | 0.265597i | \(0.0855692\pi\) | ||||
−0.964084 | + | 0.265597i | \(0.914431\pi\) | |||||||
\(594\) | −8.04032 | − | 28.4797i | −0.329898 | − | 1.16854i | ||||
\(595\) | −0.0532545 | −0.00218322 | ||||||||
\(596\) | −12.0712 | − | 21.6312i | −0.494454 | − | 0.886048i | ||||
\(597\) | −6.46379 | + | 24.8051i | −0.264545 | + | 1.01521i | ||||
\(598\) | −12.7659 | + | 7.24667i | −0.522037 | + | 0.296338i | ||||
\(599\) | −3.81637 | + | 21.6437i | −0.155932 | + | 0.884337i | 0.801996 | + | 0.597330i | \(0.203772\pi\) |
−0.957928 | + | 0.287007i | \(0.907340\pi\) | |||||||
\(600\) | 13.3713 | + | 9.66513i | 0.545882 | + | 0.394577i | ||||
\(601\) | −12.7487 | + | 10.6974i | −0.520030 | + | 0.436357i | −0.864642 | − | 0.502388i | \(-0.832455\pi\) |
0.344612 | + | 0.938745i | \(0.388010\pi\) | |||||||
\(602\) | 0.0261205 | − | 0.00440938i | 0.00106459 | − | 0.000179713i | ||||
\(603\) | −15.9919 | + | 19.6003i | −0.651240 | + | 0.798187i | ||||
\(604\) | 5.48567 | + | 15.7851i | 0.223209 | + | 0.642287i | ||||
\(605\) | 1.15749 | + | 6.56445i | 0.0470587 | + | 0.266883i | ||||
\(606\) | −0.608149 | − | 2.27341i | −0.0247044 | − | 0.0923511i | ||||
\(607\) | 5.65521 | + | 15.5376i | 0.229538 | + | 0.630650i | 0.999976 | − | 0.00686394i | \(-0.00218488\pi\) |
−0.770438 | + | 0.637514i | \(0.779963\pi\) | |||||||
\(608\) | 2.40712 | + | 17.3281i | 0.0976214 | + | 0.702745i | ||||
\(609\) | 0.462620 | − | 0.328700i | 0.0187463 | − | 0.0133196i | ||||
\(610\) | −24.9098 | − | 4.58003i | −1.00857 | − | 0.185440i | ||||
\(611\) | −36.2004 | − | 20.9003i | −1.46451 | − | 0.845537i | ||||
\(612\) | 1.15030 | + | 6.55547i | 0.0464982 | + | 0.264989i | ||||
\(613\) | 8.59588 | − | 4.96283i | 0.347184 | − | 0.200447i | −0.316260 | − | 0.948672i | \(-0.602427\pi\) |
0.663444 | + | 0.748226i | \(0.269094\pi\) | |||||||
\(614\) | 35.9222 | − | 12.7784i | 1.44970 | − | 0.515694i | ||||
\(615\) | 1.30617 | + | 2.75147i | 0.0526698 | + | 0.110950i | ||||
\(616\) | 0.405319 | − | 0.137549i | 0.0163308 | − | 0.00554200i | ||||
\(617\) | −16.0619 | + | 19.1418i | −0.646626 | + | 0.770619i | −0.985401 | − | 0.170248i | \(-0.945543\pi\) |
0.338775 | + | 0.940867i | \(0.389987\pi\) | |||||||
\(618\) | −7.76941 | + | 11.0861i | −0.312532 | + | 0.445948i | ||||
\(619\) | −21.8055 | − | 7.93656i | −0.876437 | − | 0.318997i | −0.135666 | − | 0.990755i | \(-0.543317\pi\) |
−0.740771 | + | 0.671757i | \(0.765540\pi\) | |||||||
\(620\) | −2.57734 | + | 2.98203i | −0.103509 | + | 0.119761i | ||||
\(621\) | 1.30489 | + | 12.0439i | 0.0523636 | + | 0.483306i | ||||
\(622\) | −32.5784 | − | 12.1276i | −1.30628 | − | 0.486274i | ||||
\(623\) | −0.281352 | − | 0.102404i | −0.0112721 | − | 0.00410273i | ||||
\(624\) | 18.2517 | − | 24.8661i | 0.730651 | − | 0.995440i | ||||
\(625\) | 2.43670 | + | 2.04464i | 0.0974682 | + | 0.0817855i | ||||
\(626\) | 2.43204 | − | 4.14228i | 0.0972038 | − | 0.165559i | ||||
\(627\) | 12.2508 | − | 17.7550i | 0.489252 | − | 0.709066i | ||||
\(628\) | 0.217549 | − | 14.8988i | 0.00868115 | − | 0.594526i | ||||
\(629\) | 0.00960425 | + | 0.0166350i | 0.000382946 | + | 0.000663283i | ||||
\(630\) | 0.190945 | − | 0.0709008i | 0.00760742 | − | 0.00282476i | ||||
\(631\) | −8.21645 | − | 4.74377i | −0.327092 | − | 0.188847i | 0.327457 | − | 0.944866i | \(-0.393808\pi\) |
−0.654549 | + | 0.756019i | \(0.727142\pi\) | |||||||
\(632\) | −15.8060 | − | 19.6972i | −0.628728 | − | 0.783514i | ||||
\(633\) | −20.3138 | + | 1.91826i | −0.807402 | + | 0.0762441i | ||||
\(634\) | −29.5813 | − | 0.215959i | −1.17482 | − | 0.00857682i | ||||
\(635\) | 7.83959 | + | 21.5391i | 0.311105 | + | 0.854753i | ||||
\(636\) | −45.3382 | + | 20.7172i | −1.79778 | + | 0.821491i | ||||
\(637\) | 30.6855 | − | 5.41068i | 1.21580 | − | 0.214379i | ||||
\(638\) | 31.6407 | + | 38.2719i | 1.25267 | + | 1.51520i | ||||
\(639\) | 0.390060 | + | 28.3220i | 0.0154305 | + | 1.12040i | ||||
\(640\) | −13.3122 | − | 5.63097i | −0.526213 | − | 0.222584i | ||||
\(641\) | 7.44194 | + | 8.86896i | 0.293939 | + | 0.350303i | 0.892721 | − | 0.450609i | \(-0.148793\pi\) |
−0.598783 | + | 0.800912i | \(0.704349\pi\) | |||||||
\(642\) | 30.8363 | + | 14.3948i | 1.21701 | + | 0.568117i | ||||
\(643\) | −5.63647 | + | 31.9660i | −0.222281 | + | 1.26062i | 0.645535 | + | 0.763731i | \(0.276635\pi\) |
−0.867816 | + | 0.496886i | \(0.834477\pi\) | |||||||
\(644\) | −0.172982 | + | 0.0279038i | −0.00681646 | + | 0.00109956i | ||||
\(645\) | 0.292815 | + | 1.06345i | 0.0115296 | + | 0.0418734i | ||||
\(646\) | −3.14555 | + | 3.69362i | −0.123760 | + | 0.145323i | ||||
\(647\) | 40.5576 | 1.59448 | 0.797242 | − | 0.603660i | \(-0.206292\pi\) | ||||
0.797242 | + | 0.603660i | \(0.206292\pi\) | |||||||
\(648\) | −12.8521 | − | 21.9732i | −0.504878 | − | 0.863191i | ||||
\(649\) | −6.30702 | −0.247572 | ||||||||
\(650\) | 13.7483 | − | 16.1437i | 0.539252 | − | 0.633210i | ||||
\(651\) | −0.0266524 | − | 0.0967970i | −0.00104459 | − | 0.00379377i | ||||
\(652\) | −2.77973 | − | 17.2322i | −0.108863 | − | 0.674867i | ||||
\(653\) | 1.89217 | − | 10.7310i | 0.0740463 | − | 0.419937i | −0.925141 | − | 0.379624i | \(-0.876053\pi\) |
0.999187 | − | 0.0403132i | \(-0.0128356\pi\) | |||||||
\(654\) | 29.6496 | + | 13.8408i | 1.15939 | + | 0.541218i | ||||
\(655\) | 12.4909 | + | 14.8861i | 0.488061 | + | 0.581649i | ||||
\(656\) | 3.41429 | + | 4.31908i | 0.133306 | + | 0.168632i | ||||
\(657\) | −34.8075 | − | 19.4620i | −1.35797 | − | 0.759285i | ||||
\(658\) | −0.317920 | − | 0.384549i | −0.0123938 | − | 0.0149913i | ||||
\(659\) | −15.6898 | + | 2.76653i | −0.611187 | + | 0.107769i | −0.470670 | − | 0.882309i | \(-0.655988\pi\) |
−0.140517 | + | 0.990078i | \(0.544877\pi\) | |||||||
\(660\) | 7.40731 | + | 16.2104i | 0.288329 | + | 0.630988i | ||||
\(661\) | −3.94900 | − | 10.8498i | −0.153598 | − | 0.422008i | 0.838897 | − | 0.544290i | \(-0.183201\pi\) |
−0.992495 | + | 0.122282i | \(0.960979\pi\) | |||||||
\(662\) | −39.7303 | − | 0.290051i | −1.54416 | − | 0.0112732i | ||||
\(663\) | 8.51612 | − | 0.804189i | 0.330739 | − | 0.0312321i | ||||
\(664\) | 21.3930 | + | 26.6598i | 0.830211 | + | 1.03460i | ||||
\(665\) | 0.128580 | + | 0.0742359i | 0.00498613 | + | 0.00287874i | ||||
\(666\) | −0.0565833 | − | 0.0468585i | −0.00219256 | − | 0.00181573i | ||||
\(667\) | −10.1641 | − | 17.6047i | −0.393555 | − | 0.681658i | ||||
\(668\) | −14.8140 | − | 0.216310i | −0.573169 | − | 0.00836930i | ||||
\(669\) | −20.6650 | + | 29.9496i | −0.798956 | + | 1.15792i | ||||
\(670\) | 7.71363 | − | 13.1380i | 0.298003 | − | 0.507563i | ||||
\(671\) | 43.2446 | + | 36.2865i | 1.66944 | + | 1.40083i | ||||
\(672\) | 0.307720 | − | 0.202158i | 0.0118706 | − | 0.00779843i | ||||
\(673\) | 11.8463 | + | 4.31169i | 0.456640 | + | 0.166203i | 0.560091 | − | 0.828431i | \(-0.310766\pi\) |
−0.103451 | + | 0.994635i | \(0.532988\pi\) | |||||||
\(674\) | −22.7312 | − | 8.46192i | −0.875574 | − | 0.325941i | ||||
\(675\) | −7.72164 | − | 15.7038i | −0.297206 | − | 0.604440i | ||||
\(676\) | −10.3224 | − | 8.92157i | −0.397016 | − | 0.343137i | ||||
\(677\) | −35.2718 | − | 12.8379i | −1.35560 | − | 0.493399i | −0.440912 | − | 0.897551i | \(-0.645345\pi\) |
−0.914692 | + | 0.404151i | \(0.867567\pi\) | |||||||
\(678\) | 9.23623 | − | 13.1791i | 0.354715 | − | 0.506139i | ||||
\(679\) | −0.0133803 | + | 0.0159461i | −0.000513490 | + | 0.000611954i | ||||
\(680\) | −1.28814 | − | 3.79579i | −0.0493979 | − | 0.145562i | ||||
\(681\) | −2.22479 | − | 4.68656i | −0.0852543 | − | 0.179589i | ||||
\(682\) | 8.27700 | − | 2.94433i | 0.316943 | − | 0.112744i | ||||
\(683\) | 24.5827 | − | 14.1928i | 0.940631 | − | 0.543073i | 0.0504727 | − | 0.998725i | \(-0.483927\pi\) |
0.890158 | + | 0.455652i | \(0.150594\pi\) | |||||||
\(684\) | 6.36087 | − | 17.4314i | 0.243214 | − | 0.666504i | ||||
\(685\) | −11.3475 | − | 6.55148i | −0.433566 | − | 0.250319i | ||||
\(686\) | 0.731660 | + | 0.134526i | 0.0279349 | + | 0.00513623i | ||||
\(687\) | −9.61496 | + | 6.83161i | −0.366833 | + | 0.260642i | ||||
\(688\) | 0.946095 | + | 1.75512i | 0.0360696 | + | 0.0669132i | ||||
\(689\) | 21.9116 | + | 60.2016i | 0.834765 | + | 2.29350i | ||||
\(690\) | −1.88542 | − | 7.04817i | −0.0717767 | − | 0.268319i | ||||
\(691\) | 5.71664 | + | 32.4207i | 0.217471 | + | 1.23334i | 0.876566 | + | 0.481281i | \(0.159828\pi\) |
−0.659095 | + | 0.752060i | \(0.729060\pi\) | |||||||
\(692\) | 11.9913 | − | 4.16724i | 0.455841 | − | 0.158415i | ||||
\(693\) | −0.448132 | − | 0.0726695i | −0.0170231 | − | 0.00276049i | ||||
\(694\) | −6.95573 | + | 1.17419i | −0.264036 | + | 0.0445717i | ||||
\(695\) | 21.1339 | − | 17.7334i | 0.801654 | − | 0.672667i | ||||
\(696\) | 34.6186 | + | 25.0231i | 1.31221 | + | 0.948500i | ||||
\(697\) | −0.265127 | + | 1.50361i | −0.0100424 | + | 0.0569533i | ||||
\(698\) | 2.06104 | − | 1.16996i | 0.0780114 | − | 0.0442837i | ||||
\(699\) | −4.71889 | + | 18.1090i | −0.178485 | + | 0.684946i | ||||
\(700\) | 0.221021 | − | 0.123340i | 0.00835382 | − | 0.00466180i | ||||
\(701\) | −2.58326 | −0.0975684 | −0.0487842 | − | 0.998809i | \(-0.515535\pi\) | ||||
−0.0487842 | + | 0.998809i | \(0.515535\pi\) | |||||||
\(702\) | −29.4640 | + | 14.2214i | −1.11205 | + | 0.536753i | ||||
\(703\) | − | 0.0535526i | − | 0.00201978i | ||||||
\(704\) | 19.6080 | + | 25.5626i | 0.739003 | + | 0.963425i | ||||
\(705\) | 14.5893 | − | 14.7916i | 0.549466 | − | 0.557085i | ||||
\(706\) | −38.5102 | + | 21.8606i | −1.44935 | + | 0.822734i | ||||
\(707\) | −0.0355543 | − | 0.00626918i | −0.00133716 | − | 0.000235777i | ||||
\(708\) | −5.25112 | + | 1.36370i | −0.197349 | + | 0.0512510i | ||||
\(709\) | −25.7394 | − | 30.6751i | −0.966665 | − | 1.15203i | −0.988340 | − | 0.152261i | \(-0.951345\pi\) |
0.0216755 | − | 0.999765i | \(-0.493100\pi\) | |||||||
\(710\) | −2.83951 | − | 16.8208i | −0.106565 | − | 0.631273i | ||||
\(711\) | 5.01433 | + | 26.3134i | 0.188052 | + | 0.986828i | ||||
\(712\) | 0.493528 | − | 22.5308i | 0.0184958 | − | 0.844376i | ||||
\(713\) | −3.54170 | + | 0.624497i | −0.132638 | + | 0.0233876i | ||||
\(714\) | 0.0986140 | + | 0.0264674i | 0.00369054 | + | 0.000990517i | ||||
\(715\) | 21.5247 | − | 7.83435i | 0.804978 | − | 0.292988i | ||||
\(716\) | 8.89181 | − | 23.3629i | 0.332302 | − | 0.873113i | ||||
\(717\) | −6.48064 | + | 14.1514i | −0.242024 | + | 0.528493i | ||||
\(718\) | −7.55904 | + | 41.1121i | −0.282101 | + | 1.53429i | ||||
\(719\) | −1.78773 | + | 3.09644i | −0.0666710 | + | 0.115478i | −0.897434 | − | 0.441149i | \(-0.854571\pi\) |
0.830763 | + | 0.556626i | \(0.187904\pi\) | |||||||
\(720\) | 9.67219 | + | 11.8949i | 0.360461 | + | 0.443296i | ||||
\(721\) | 0.103840 | + | 0.179856i | 0.00386720 | + | 0.00669818i | ||||
\(722\) | −12.5724 | + | 4.47231i | −0.467897 | + | 0.166442i | ||||
\(723\) | −1.13733 | + | 14.1188i | −0.0422978 | + | 0.525084i | ||||
\(724\) | −28.7114 | − | 35.2495i | −1.06705 | − | 1.31004i | ||||
\(725\) | 22.4945 | + | 18.8751i | 0.835426 | + | 0.701005i | ||||
\(726\) | 1.11914 | − | 12.7310i | 0.0415351 | − | 0.472492i | ||||
\(727\) | 11.0625 | − | 30.3940i | 0.410285 | − | 1.12725i | −0.546755 | − | 0.837293i | \(-0.684137\pi\) |
0.957040 | − | 0.289956i | \(-0.0936408\pi\) | |||||||
\(728\) | −0.227570 | − | 0.414888i | −0.00843429 | − | 0.0153768i | ||||
\(729\) | 1.11517 | + | 26.9770i | 0.0413026 | + | 0.999147i | ||||
\(730\) | 22.5084 | + | 8.37899i | 0.833074 | + | 0.310120i | ||||
\(731\) | −0.189115 | + | 0.519591i | −0.00699469 | + | 0.0192177i | ||||
\(732\) | 43.8505 | + | 20.8612i | 1.62076 | + | 0.771052i | ||||
\(733\) | 19.2878 | − | 22.9862i | 0.712409 | − | 0.849016i | −0.281460 | − | 0.959573i | \(-0.590819\pi\) |
0.993870 | + | 0.110556i | \(0.0352633\pi\) | |||||||
\(734\) | 24.3571 | + | 14.3007i | 0.899038 | + | 0.527848i | ||||
\(735\) | −1.24349 | + | 15.4367i | −0.0458670 | + | 0.569392i | ||||
\(736\) | −6.17304 | − | 11.6546i | −0.227541 | − | 0.429595i | ||||
\(737\) | −29.4077 | + | 16.9785i | −1.08325 | + | 0.625413i | ||||
\(738\) | −1.05123 | − | 5.74419i | −0.0386962 | − | 0.211447i | ||||
\(739\) | 6.60975 | − | 11.4484i | 0.243143 | − | 0.421137i | −0.718465 | − | 0.695564i | \(-0.755155\pi\) |
0.961608 | + | 0.274427i | \(0.0884881\pi\) | |||||||
\(740\) | 0.0379911 | + | 0.0226801i | 0.00139658 | + | 0.000833738i | ||||
\(741\) | −21.6828 | − | 9.92966i | −0.796537 | − | 0.364775i | ||||
\(742\) | −0.00558261 | + | 0.764688i | −0.000204944 | + | 0.0280726i | ||||
\(743\) | 24.1121 | − | 8.77610i | 0.884588 | − | 0.321964i | 0.140528 | − | 0.990077i | \(-0.455120\pi\) |
0.744060 | + | 0.668113i | \(0.232898\pi\) | |||||||
\(744\) | 6.25466 | − | 4.24104i | 0.229307 | − | 0.155484i | ||||
\(745\) | −2.74776 | − | 15.5833i | −0.100670 | − | 0.570929i | ||||
\(746\) | −27.2532 | − | 32.9649i | −0.997811 | − | 1.20693i | ||||
\(747\) | −6.78678 | − | 35.6146i | −0.248315 | − | 1.30307i | ||||
\(748\) | −1.67971 | + | 8.77495i | −0.0614165 | + | 0.320844i | ||||
\(749\) | 0.399926 | − | 0.335578i | 0.0146130 | − | 0.0122617i | ||||
\(750\) | 15.0110 | + | 21.4568i | 0.548123 | + | 0.783492i | ||||
\(751\) | 24.9654 | + | 4.40207i | 0.911000 | + | 0.160634i | 0.609458 | − | 0.792819i | \(-0.291387\pi\) |
0.301543 | + | 0.953453i | \(0.402498\pi\) | |||||||
\(752\) | 19.7193 | − | 31.9618i | 0.719089 | − | 1.16553i | ||||
\(753\) | 23.0596 | + | 22.7442i | 0.840339 | + | 0.828845i | ||||
\(754\) | 35.5945 | − | 41.7964i | 1.29628 | − | 1.52213i | ||||
\(755\) | 10.6749i | 0.388500i | ||||||||
\(756\) | −0.388819 | + | 0.0363914i | −0.0141412 | + | 0.00132354i | ||||
\(757\) | 7.76347i | 0.282168i | 0.989998 | + | 0.141084i | \(0.0450588\pi\) | ||||
−0.989998 | + | 0.141084i | \(0.954941\pi\) | |||||||
\(758\) | 2.55806 | + | 2.17849i | 0.0929130 | + | 0.0791263i | ||||
\(759\) | −4.10064 | + | 15.7364i | −0.148844 | + | 0.571196i | ||||
\(760\) | −2.18112 | + | 10.9604i | −0.0791175 | + | 0.397575i | ||||
\(761\) | −9.22102 | − | 1.62592i | −0.334262 | − | 0.0589394i | 0.00399834 | − | 0.999992i | \(-0.498727\pi\) |
−0.338260 | + | 0.941053i | \(0.609838\pi\) | |||||||
\(762\) | −3.81207 | − | 43.7813i | −0.138097 | − | 1.58603i | ||||
\(763\) | 0.384534 | − | 0.322662i | 0.0139211 | − | 0.0116812i | ||||
\(764\) | 1.41307 | − | 7.38198i | 0.0511231 | − | 0.267071i | ||||
\(765\) | −0.680546 | + | 4.19673i | −0.0246052 | + | 0.151733i | ||||
\(766\) | −14.7846 | + | 12.2229i | −0.534190 | + | 0.441633i | ||||
\(767\) | 1.21081 | + | 6.86682i | 0.0437197 | + | 0.247947i | ||||
\(768\) | 21.8524 | + | 17.0433i | 0.788529 | + | 0.614997i | ||||
\(769\) | −25.0021 | + | 9.10003i | −0.901600 | + | 0.328156i | −0.750894 | − | 0.660423i | \(-0.770377\pi\) |
−0.150706 | + | 0.988579i | \(0.548155\pi\) | |||||||
\(770\) | 0.273409 | + | 0.00199603i | 0.00985299 | + | 7.19319e-5i | ||||
\(771\) | 19.7330 | − | 14.0207i | 0.710668 | − | 0.504943i | ||||
\(772\) | 25.3676 | − | 42.4929i | 0.913001 | − | 1.52935i | ||||
\(773\) | −8.90177 | + | 15.4183i | −0.320174 | + | 0.554558i | −0.980524 | − | 0.196400i | \(-0.937075\pi\) |
0.660349 | + | 0.750959i | \(0.270408\pi\) | |||||||
\(774\) | −0.0136851 | − | 2.11478i | −0.000491900 | − | 0.0760141i | ||||
\(775\) | 4.49899 | − | 2.59749i | 0.161608 | − | 0.0933047i | ||||
\(776\) | −1.46023 | − | 0.567993i | −0.0524190 | − | 0.0203898i | ||||
\(777\) | −0.00101816 | 0.000483337i | −3.65262e−5 | 1.73396e-5i | ||||||
\(778\) | 0.624535 | − | 1.06372i | 0.0223906 | − | 0.0381361i | ||||
\(779\) | 2.73614 | − | 3.26081i | 0.0980325 | − | 0.116831i | ||||
\(780\) | 16.2271 | − | 11.1768i | 0.581025 | − | 0.400193i | ||||
\(781\) | −13.0043 | + | 35.7290i | −0.465331 | + | 1.27849i | ||||
\(782\) | 1.27596 | − | 3.42761i | 0.0456283 | − | 0.122571i | ||||
\(783\) | −19.9914 | − | 40.6574i | −0.714435 | − | 1.45298i | ||||
\(784\) | 4.05415 | + | 27.6992i | 0.144791 | + | 0.989258i | ||||
\(785\) | 3.25542 | − | 8.94420i | 0.116191 | − | 0.319232i | ||||
\(786\) | −15.7317 | − | 33.7733i | −0.561132 | − | 1.20465i | ||||
\(787\) | 16.8309 | + | 14.1228i | 0.599957 | + | 0.503424i | 0.891432 | − | 0.453155i | \(-0.149701\pi\) |
−0.291475 | + | 0.956579i | \(0.594146\pi\) | |||||||
\(788\) | −7.19156 | + | 5.85765i | −0.256189 | + | 0.208670i | ||||
\(789\) | −26.7308 | − | 18.4441i | −0.951641 | − | 0.656627i | ||||
\(790\) | −5.40686 | − | 15.1996i | −0.192367 | − | 0.540776i | ||||
\(791\) | −0.123444 | − | 0.213812i | −0.00438917 | − | 0.00760227i | ||||
\(792\) | −5.65996 | − | 33.6990i | −0.201118 | − | 1.19744i | ||||
\(793\) | 31.2053 | − | 54.0491i | 1.10813 | − | 1.91934i | ||||
\(794\) | −22.6331 | − | 4.16142i | −0.803220 | − | 0.147683i | ||||
\(795\) | −31.7010 | + | 2.99357i | −1.12432 | + | 0.106171i | ||||
\(796\) | −10.5285 | + | 27.6632i | −0.373171 | + | 0.980496i | ||||
\(797\) | 14.4147 | − | 5.24652i | 0.510595 | − | 0.185841i | −0.0738582 | − | 0.997269i | \(-0.523531\pi\) |
0.584453 | + | 0.811427i | \(0.301309\pi\) | |||||||
\(798\) | −0.201204 | − | 0.201370i | −0.00712253 | − | 0.00712844i | ||||
\(799\) | 10.2565 | − | 1.80851i | 0.362851 | − | 0.0639803i | ||||
\(800\) | 14.1373 | + | 12.7702i | 0.499831 | + | 0.451495i | ||||
\(801\) | −11.6654 | + | 20.8634i | −0.412177 | + | 0.737172i | ||||
\(802\) | 7.45692 | − | 1.25880i | 0.263313 | − | 0.0444496i | ||||
\(803\) | −34.4098 | − | 41.0079i | −1.21429 | − | 1.44714i | ||||
\(804\) | −20.8132 | + | 20.4945i | −0.734027 | + | 0.722787i | ||||
\(805\) | −0.110228 | − | 0.0194361i | −0.00388501 | − | 0.000685032i | ||||
\(806\) | −4.79466 | − | 8.44641i | −0.168885 | − | 0.297512i | ||||
\(807\) | 0.736871 | + | 2.67619i | 0.0259391 | + | 0.0942064i | ||||
\(808\) | −0.413155 | − | 2.68582i | −0.0145347 | − | 0.0944869i | ||||
\(809\) | − | 38.3503i | − | 1.34832i | −0.738584 | − | 0.674162i | \(-0.764505\pi\) | ||
0.738584 | − | 0.674162i | \(-0.235495\pi\) | |||||||
\(810\) | −3.14725 | − | 15.9535i | −0.110583 | − | 0.560548i | ||||
\(811\) | 2.84191 | 0.0997928 | 0.0498964 | − | 0.998754i | \(-0.484111\pi\) | ||||
0.0498964 | + | 0.998754i | \(0.484111\pi\) | |||||||
\(812\) | 0.572227 | − | 0.319328i | 0.0200812 | − | 0.0112062i | ||||
\(813\) | 1.82068 | − | 0.501312i | 0.0638541 | − | 0.0175818i | ||||
\(814\) | −0.0486848 | − | 0.0857645i | −0.00170640 | − | 0.00300604i | ||||
\(815\) | 1.93619 | − | 10.9807i | 0.0678219 | − | 0.384637i | ||||
\(816\) | 0.498812 | + | 7.66905i | 0.0174619 | + | 0.268470i | ||||
\(817\) | 1.18091 | − | 0.990901i | 0.0413148 | − | 0.0346673i | ||||
\(818\) | 1.01585 | + | 6.01776i | 0.0355185 | + | 0.210406i | ||||
\(819\) | 0.00691176 | + | 0.501858i | 0.000241516 | + | 0.0175364i | ||||
\(820\) | 1.15448 | + | 3.32205i | 0.0403163 | + | 0.116011i | ||||
\(821\) | −6.41903 | − | 36.4041i | −0.224026 | − | 1.27051i | −0.864539 | − | 0.502565i | \(-0.832390\pi\) |
0.640514 | − | 0.767947i | \(-0.278721\pi\) | |||||||
\(822\) | 17.7567 | + | 17.7714i | 0.619335 | + | 0.619849i | ||||
\(823\) | −17.0571 | − | 46.8639i | −0.594572 | − | 1.63357i | −0.761918 | − | 0.647674i | \(-0.775742\pi\) |
0.167346 | − | 0.985898i | \(-0.446480\pi\) | |||||||
\(824\) | −10.3078 | + | 11.7517i | −0.359088 | + | 0.409391i | ||||
\(825\) | −2.20844 | − | 23.3867i | −0.0768879 | − | 0.814219i | ||||
\(826\) | −0.0150507 | + | 0.0818575i | −0.000523680 | + | 0.00284819i | ||||
\(827\) | −25.4053 | − | 14.6677i | −0.883428 | − | 0.510047i | −0.0116409 | − | 0.999932i | \(-0.503705\pi\) |
−0.871787 | + | 0.489885i | \(0.837039\pi\) | |||||||
\(828\) | −0.0116007 | + | 13.9885i | −0.000403153 | + | 0.486134i | ||||
\(829\) | −35.7709 | + | 20.6523i | −1.24237 | + | 0.717285i | −0.969577 | − | 0.244786i | \(-0.921282\pi\) |
−0.272797 | + | 0.962072i | \(0.587949\pi\) | |||||||
\(830\) | 7.31806 | + | 20.5723i | 0.254014 | + | 0.714074i | ||||
\(831\) | 23.9226 | − | 34.6706i | 0.829864 | − | 1.20271i | ||||
\(832\) | 24.0672 | − | 26.2558i | 0.834378 | − | 0.910255i | ||||
\(833\) | −4.99017 | + | 5.94706i | −0.172899 | + | 0.206053i | ||||
\(834\) | −47.9481 | + | 22.3344i | −1.66031 | + | 0.773376i | ||||
\(835\) | −8.89328 | − | 3.23689i | −0.307765 | − | 0.112017i | ||||
\(836\) | 16.2877 | − | 18.8452i | 0.563323 | − | 0.651774i | ||||
\(837\) | −7.96870 | + | 0.863366i | −0.275439 | + | 0.0298423i | ||||
\(838\) | −10.3890 | + | 27.9079i | −0.358882 | + | 0.964063i | ||||
\(839\) | −19.7178 | − | 7.17669i | −0.680734 | − | 0.247767i | −0.0215712 | − | 0.999767i | \(-0.506867\pi\) |
−0.659163 | + | 0.752001i | \(0.729089\pi\) | |||||||
\(840\) | 0.228067 | − | 0.0574545i | 0.00786907 | − | 0.00198237i | ||||
\(841\) | 36.0233 | + | 30.2272i | 1.24218 | + | 1.04232i | ||||
\(842\) | −18.4855 | − | 10.8533i | −0.637051 | − | 0.374029i | ||||
\(843\) | −1.33008 | − | 2.80184i | −0.0458106 | − | 0.0965006i | ||||
\(844\) | −23.5582 | − | 0.343993i | −0.810908 | − | 0.0118407i | ||||
\(845\) | −4.35769 | − | 7.54774i | −0.149909 | − | 0.259650i | ||||
\(846\) | −34.3672 | + | 20.1396i | −1.18157 | + | 0.692412i | ||||
\(847\) | −0.169793 | − | 0.0980298i | −0.00583414 | − | 0.00336834i | ||||
\(848\) | −54.6392 | + | 18.0986i | −1.87632 | + | 0.621509i | ||||
\(849\) | −3.37852 | − | 4.75500i | −0.115950 | − | 0.163191i | ||||
\(850\) | −0.0385690 | + | 5.28306i | −0.00132291 | + | 0.181207i | ||||
\(851\) | 0.0138079 | + | 0.0379369i | 0.000473329 | + | 0.00130046i | ||||
\(852\) | −3.10185 | + | 32.5591i | −0.106268 | + | 1.11546i | ||||
\(853\) | 23.5698 | − | 4.15599i | 0.807015 | − | 0.142299i | 0.245105 | − | 0.969497i | \(-0.421178\pi\) |
0.561910 | + | 0.827198i | \(0.310067\pi\) | |||||||
\(854\) | 0.574151 | − | 0.474670i | 0.0196470 | − | 0.0162429i | ||||
\(855\) | 7.49332 | − | 9.18413i | 0.256266 | − | 0.314091i | ||||
\(856\) | 33.5923 | + | 20.3882i | 1.14816 | + | 0.696854i | ||||
\(857\) | 11.8477 | + | 14.1196i | 0.404710 | + | 0.482315i | 0.929450 | − | 0.368948i | \(-0.120282\pi\) |
−0.524740 | + | 0.851263i | \(0.675837\pi\) | |||||||
\(858\) | −43.7520 | + | 3.80953i | −1.49367 | + | 0.130055i | ||||
\(859\) | 4.54416 | − | 25.7712i | 0.155045 | − | 0.879303i | −0.803700 | − | 0.595035i | \(-0.797138\pi\) |
0.958745 | − | 0.284268i | \(-0.0917506\pi\) | |||||||
\(860\) | 0.202833 | + | 1.25741i | 0.00691656 | + | 0.0428775i | ||||
\(861\) | −0.0866903 | − | 0.0225900i | −0.00295440 | − | 0.000769864i | ||||
\(862\) | −19.2392 | − | 16.3844i | −0.655288 | − | 0.558055i | ||||
\(863\) | −16.7507 | −0.570199 | −0.285100 | − | 0.958498i | \(-0.592027\pi\) | ||||
−0.285100 | + | 0.958498i | \(0.592027\pi\) | |||||||
\(864\) | −11.9987 | − | 26.8334i | −0.408206 | − | 0.912890i | ||||
\(865\) | 8.10931 | 0.275725 | ||||||||
\(866\) | −7.09697 | − | 6.04390i | −0.241165 | − | 0.205380i | ||||
\(867\) | 19.1802 | − | 19.4462i | 0.651393 | − | 0.660426i | ||||
\(868\) | −0.0184622 | − | 0.114452i | −0.000626647 | − | 0.00388474i | ||||
\(869\) | −6.24399 | + | 35.4114i | −0.211813 | + | 1.20125i | ||||
\(870\) | 15.6415 | + | 22.3580i | 0.530295 | + | 0.758008i | ||||
\(871\) | 24.1312 | + | 28.7584i | 0.817653 | + | 0.974441i | ||||
\(872\) | 32.2994 | + | 19.6035i | 1.09380 | + | 0.663859i | ||||
\(873\) | 1.08564 | + | 1.25822i | 0.0367435 | + | 0.0425842i | ||||
\(874\) | −7.85878 | + | 6.49713i | −0.265827 | + | 0.219769i | ||||
\(875\) | 0.395622 | − | 0.0697589i | 0.0133745 | − | 0.00235828i | ||||
\(876\) | −37.5156 | − | 26.7024i | −1.26754 | − | 0.902192i | ||||
\(877\) | −11.8079 | − | 32.4419i | −0.398724 | − | 1.09549i | −0.962907 | − | 0.269835i | \(-0.913031\pi\) |
0.564183 | − | 0.825650i | \(-0.309191\pi\) | |||||||
\(878\) | 0.395198 | − | 54.1330i | 0.0133373 | − | 1.82690i | ||||
\(879\) | 18.3428 | − | 40.0541i | 0.618688 | − | 1.35099i | ||||
\(880\) | 6.47105 | + | 19.5359i | 0.218139 | + | 0.658555i | ||||
\(881\) | −26.4274 | − | 15.2579i | −0.890362 | − | 0.514050i | −0.0163008 | − | 0.999867i | \(-0.505189\pi\) |
−0.874061 | + | 0.485817i | \(0.838522\pi\) | |||||||
\(882\) | 9.97466 | − | 27.9669i | 0.335864 | − | 0.941696i | ||||
\(883\) | 16.0187 | + | 27.7452i | 0.539073 | + | 0.933701i | 0.998954 | + | 0.0457210i | \(0.0145585\pi\) |
−0.459882 | + | 0.887980i | \(0.652108\pi\) | |||||||
\(884\) | 9.87626 | + | 0.144211i | 0.332175 | + | 0.00485035i | ||||
\(885\) | −3.45444 | − | 0.278270i | −0.116120 | − | 0.00935395i | ||||
\(886\) | −32.1213 | − | 18.8592i | −1.07914 | − | 0.633588i | ||||
\(887\) | −0.309940 | − | 0.260070i | −0.0104068 | − | 0.00873231i | 0.637569 | − | 0.770393i | \(-0.279940\pi\) |
−0.647976 | + | 0.761661i | \(0.724384\pi\) | |||||||
\(888\) | −0.0590781 | − | 0.0608794i | −0.00198253 | − | 0.00204298i | ||||
\(889\) | −0.633532 | − | 0.230587i | −0.0212480 | − | 0.00773363i | ||||
\(890\) | 5.02231 | − | 13.4914i | 0.168348 | − | 0.452233i | ||||
\(891\) | −11.4535 | + | 34.3865i | −0.383706 | + | 1.15199i | ||||
\(892\) | −27.4745 | + | 31.7885i | −0.919915 | + | 1.06436i | ||||
\(893\) | −27.2849 | − | 9.93091i | −0.913056 | − | 0.332325i | ||||
\(894\) | −2.65672 | + | 30.2221i | −0.0888539 | + | 1.01078i | ||||
\(895\) | 10.2643 | − | 12.2325i | 0.343097 | − | 0.408887i | ||||
\(896\) | 0.378562 | − | 0.193487i | 0.0126469 | − | 0.00646394i | ||||
\(897\) | 17.9204 | + | 1.44356i | 0.598345 | + | 0.0481992i | ||||
\(898\) | 13.9372 | + | 39.1798i | 0.465091 | + | 1.30745i | ||||
\(899\) | 11.6479 | − | 6.72494i | 0.388481 | − | 0.224289i | ||||
\(900\) | −6.89535 | − | 18.9938i | −0.229845 | − | 0.633127i | ||||
\(901\) | −13.8235 | − | 7.98102i | −0.460529 | − | 0.265886i | ||||
\(902\) | 1.41752 | − | 7.70961i | 0.0471983 | − | 0.256702i | ||||
\(903\) | −0.0294975 | − | 0.0135084i | −0.000981617 | − | 0.000449533i | ||||
\(904\) | 12.2538 | − | 13.9704i | 0.407555 | − | 0.464649i | ||||
\(905\) | −9.93269 | − | 27.2898i | −0.330174 | − | 0.907145i | ||||
\(906\) | 5.30542 | − | 19.7673i | 0.176261 | − | 0.656724i | ||||
\(907\) | −6.48461 | − | 36.7760i | −0.215318 | − | 1.22113i | −0.880354 | − | 0.474317i | \(-0.842695\pi\) |
0.665036 | − | 0.746811i | \(-0.268416\pi\) | |||||||
\(908\) | −1.96643 | − | 5.65844i | −0.0652582 | − | 0.187782i | ||||
\(909\) | −0.948397 | + | 2.72175i | −0.0314563 | + | 0.0902748i | ||||
\(910\) | −0.0503152 | − | 0.298060i | −0.00166793 | − | 0.00988059i | ||||
\(911\) | 12.5899 | − | 10.5642i | 0.417122 | − | 0.350007i | −0.409945 | − | 0.912110i | \(-0.634452\pi\) |
0.827067 | + | 0.562103i | \(0.190008\pi\) | |||||||
\(912\) | 9.48617 | − | 19.2119i | 0.314119 | − | 0.636169i | ||||
\(913\) | 8.45110 | − | 47.9286i | 0.279691 | − | 1.58620i | ||||
\(914\) | 8.50950 | + | 14.9906i | 0.281469 | + | 0.495844i | ||||
\(915\) | 22.0847 | + | 21.7826i | 0.730097 | + | 0.720111i | ||||
\(916\) | −11.8930 | + | 6.63682i | −0.392956 | + | 0.219287i | ||||
\(917\) | −0.571569 | −0.0188749 | ||||||||
\(918\) | 3.34597 | − | 7.43307i | 0.110433 | − | 0.245328i | ||||
\(919\) | 37.7169i | 1.24417i | 0.782951 | + | 0.622084i | \(0.213714\pi\) | ||||
−0.782951 | + | 0.622084i | \(0.786286\pi\) | |||||||
\(920\) | −1.28089 | − | 8.32675i | −0.0422296 | − | 0.274525i | ||||
\(921\) | −45.1872 | − | 11.7750i | −1.48897 | − | 0.387999i | ||||
\(922\) | −2.74010 | − | 4.82703i | −0.0902404 | − | 0.158970i | ||||
\(923\) | 41.3968 | + | 7.29938i | 1.36259 | + | 0.240262i | ||||
\(924\) | −0.505294 | − | 0.139580i | −0.0166229 | − | 0.00459185i | ||||
\(925\) | −0.0374859 | − | 0.0446739i | −0.00123253 | − | 0.00146887i | ||||
\(926\) | 8.57160 | − | 1.44697i | 0.281680 | − | 0.0475502i | ||||
\(927\) | 15.5006 | − | 5.88472i | 0.509105 | − | 0.193280i | ||||
\(928\) | 36.6018 | + | 33.0623i | 1.20151 | + | 1.08532i | ||||
\(929\) | 35.1367 | − | 6.19555i | 1.15280 | − | 0.203270i | 0.435601 | − | 0.900140i | \(-0.356536\pi\) |
0.717197 | + | 0.696870i | \(0.245425\pi\) | |||||||
\(930\) | 4.66333 | − | 1.24746i | 0.152917 | − | 0.0409059i | ||||
\(931\) | 20.3386 | − | 7.40265i | 0.666571 | − | 0.242612i | ||||
\(932\) | −7.68631 | + | 20.1955i | −0.251774 | + | 0.661527i | ||||
\(933\) | 24.6597 | + | 34.7066i | 0.807323 | + | 1.13624i | ||||
\(934\) | 28.2440 | + | 5.19306i | 0.924172 | + | 0.169922i | ||||
\(935\) | −2.85357 | + | 4.94252i | −0.0933216 | + | 0.161638i | ||||
\(936\) | −35.6035 | + | 12.6318i | −1.16374 | + | 0.412882i | ||||
\(937\) | 17.8075 | + | 30.8434i | 0.581744 | + | 1.00761i | 0.995273 | + | 0.0971193i | \(0.0309628\pi\) |
−0.413529 | + | 0.910491i | \(0.635704\pi\) | |||||||
\(938\) | 0.150184 | + | 0.422193i | 0.00490369 | + | 0.0137851i | ||||
\(939\) | −5.31458 | + | 2.52293i | −0.173435 | + | 0.0823326i | ||||
\(940\) | 18.6006 | − | 15.1505i | 0.606685 | − | 0.494156i | ||||
\(941\) | 2.81572 | + | 2.36267i | 0.0917898 | + | 0.0770208i | 0.687528 | − | 0.726158i | \(-0.258696\pi\) |
−0.595738 | + | 0.803179i | \(0.703140\pi\) | |||||||
\(942\) | −10.4735 | + | 14.9445i | −0.341244 | + | 0.486918i | ||||
\(943\) | −1.09753 | + | 3.01545i | −0.0357406 | + | 0.0981965i | ||||
\(944\) | −6.19856 | + | 0.907241i | −0.201746 | + | 0.0295282i | ||||
\(945\) | −0.242242 | − | 0.0595740i | −0.00788013 | − | 0.00193794i | ||||
\(946\) | 0.990396 | − | 2.66050i | 0.0322006 | − | 0.0865002i | ||||
\(947\) | −1.54304 | + | 4.23946i | −0.0501420 | + | 0.137764i | −0.962236 | − | 0.272218i | \(-0.912243\pi\) |
0.912094 | + | 0.409982i | \(0.134465\pi\) | |||||||
\(948\) | 2.45800 | + | 30.8330i | 0.0798320 | + | 1.00141i | ||||
\(949\) | −38.0418 | + | 45.3365i | −1.23489 | + | 1.47169i | ||||
\(950\) | 7.45762 | − | 12.7019i | 0.241957 | − | 0.412105i | ||||
\(951\) | 29.8207 | + | 20.5761i | 0.967002 | + | 0.667227i | ||||
\(952\) | 0.109880 | + | 0.0427406i | 0.00356122 | + | 0.00138523i | ||||
\(953\) | 11.2227 | − | 6.47942i | 0.363538 | − | 0.209889i | −0.307093 | − | 0.951679i | \(-0.599356\pi\) |
0.670632 | + | 0.741790i | \(0.266023\pi\) | |||||||
\(954\) | 60.1901 | + | 10.2120i | 1.94873 | + | 0.330625i | ||||
\(955\) | 2.40058 | − | 4.15793i | 0.0776809 | − | 0.134547i | ||||
\(956\) | −9.21258 | + | 15.4319i | −0.297956 | + | 0.499102i | ||||
\(957\) | −5.71767 | − | 60.5484i | −0.184826 | − | 1.95725i | ||||
\(958\) | −0.0510163 | 0.000372445i | −0.00164826 | 1.20332e-5i | ||||||
\(959\) | 0.362157 | − | 0.131814i | 0.0116946 | − | 0.00425650i | ||||
\(960\) | 9.61172 | + | 14.8661i | 0.310217 | + | 0.479801i | ||||
\(961\) | 4.96990 | + | 28.1857i | 0.160319 | + | 0.909217i | ||||
\(962\) | −0.0840304 | + | 0.0694709i | −0.00270925 | + | 0.00223983i | ||||
\(963\) | −21.3346 | − | 35.8046i | −0.687497 | − | 1.15379i | ||||
\(964\) | −3.07503 | + | 16.0641i | −0.0990399 | + | 0.517391i | ||||
\(965\) | 24.2171 | − | 20.3205i | 0.779575 | − | 0.654141i | ||||
\(966\) | 0.194454 | + | 0.0907737i | 0.00625646 | + | 0.00292059i | ||||
\(967\) | 53.8023 | + | 9.48680i | 1.73017 | + | 0.305075i | 0.948065 | − | 0.318076i | \(-0.103037\pi\) |
0.782101 | + | 0.623151i | \(0.214148\pi\) | |||||||
\(968\) | 2.88021 | − | 14.4734i | 0.0925733 | − | 0.465192i | ||||
\(969\) | 5.72869 | − | 1.57735i | 0.184032 | − | 0.0506719i | ||||
\(970\) | −0.761986 | − | 0.648921i | −0.0244659 | − | 0.0208356i | ||||
\(971\) | − | 42.8083i | − | 1.37378i | −0.726760 | − | 0.686892i | \(-0.758975\pi\) | ||
0.726760 | − | 0.686892i | \(-0.241025\pi\) | |||||||
\(972\) | −2.10093 | + | 31.1060i | −0.0673875 | + | 0.997727i | ||||
\(973\) | 0.811458i | 0.0260142i | ||||||||
\(974\) | −25.5642 | + | 30.0185i | −0.819131 | + | 0.961853i | ||||
\(975\) | −25.0385 | + | 6.89417i | −0.801872 | + | 0.220790i | ||||
\(976\) | 47.7205 | + | 29.4419i | 1.52750 | + | 0.942412i | ||||
\(977\) | 33.9041 | + | 5.97821i | 1.08469 | + | 0.191260i | 0.687287 | − | 0.726386i | \(-0.258801\pi\) |
0.397400 | + | 0.917645i | \(0.369912\pi\) | |||||||
\(978\) | −9.04273 | + | 19.3712i | −0.289155 | + | 0.619424i | ||||
\(979\) | −24.5799 | + | 20.6250i | −0.785577 | + | 0.659177i | ||||
\(980\) | −3.36206 | + | 17.5636i | −0.107397 | + | 0.561050i | ||||
\(981\) | −20.5135 | − | 34.4266i | −0.654945 | − | 1.09916i | ||||
\(982\) | −3.85107 | − | 4.65817i | −0.122893 | − | 0.148648i | ||||
\(983\) | −7.45500 | − | 42.2794i | −0.237778 | − | 1.34850i | −0.836684 | − | 0.547685i | \(-0.815509\pi\) |
0.598907 | − | 0.800819i | \(-0.295602\pi\) | |||||||
\(984\) | −0.486763 | − | 6.72538i | −0.0155174 | − | 0.214397i | ||||
\(985\) | −5.56764 | + | 2.02646i | −0.177400 | + | 0.0645682i | ||||
\(986\) | −0.0998557 | + | 13.6779i | −0.00318005 | + | 0.435593i | ||||
\(987\) | 0.0574501 | + | 0.608380i | 0.00182866 | + | 0.0193649i | ||||
\(988\) | −23.6447 | − | 14.1155i | −0.752239 | − | 0.449075i | ||||
\(989\) | −0.581069 | + | 1.00644i | −0.0184769 | + | 0.0320030i | ||||
\(990\) | 3.65123 | − | 21.5206i | 0.116044 | − | 0.683969i | ||||
\(991\) | −34.3889 | + | 19.8544i | −1.09240 | + | 0.630697i | −0.934214 | − | 0.356713i | \(-0.883897\pi\) |
−0.158185 | + | 0.987410i | \(0.550564\pi\) | |||||||
\(992\) | 7.71112 | − | 4.08431i | 0.244828 | − | 0.129677i | ||||
\(993\) | 40.0518 | + | 27.6355i | 1.27100 | + | 0.876987i | ||||
\(994\) | 0.432687 | + | 0.254042i | 0.0137240 | + | 0.00805771i | ||||
\(995\) | −12.1536 | + | 14.4840i | −0.385293 | + | 0.459175i | ||||
\(996\) | −3.32684 | − | 41.7318i | −0.105415 | − | 1.32232i | ||||
\(997\) | −3.81126 | + | 10.4713i | −0.120704 | + | 0.331631i | −0.985299 | − | 0.170838i | \(-0.945353\pi\) |
0.864595 | + | 0.502469i | \(0.167575\pi\) | |||||||
\(998\) | 22.7763 | + | 8.47872i | 0.720972 | + | 0.268389i | ||||
\(999\) | 0.0250784 | + | 0.0864127i | 0.000793444 | + | 0.00273398i |
(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 | 216.2.v.b.131.7 | ✓ | 192 | |
3.2 | odd | 2 | 648.2.v.b.179.26 | 192 | |||
4.3 | odd | 2 | 864.2.bh.b.239.13 | 192 | |||
8.3 | odd | 2 | inner | 216.2.v.b.131.32 | yes | 192 | |
8.5 | even | 2 | 864.2.bh.b.239.14 | 192 | |||
24.11 | even | 2 | 648.2.v.b.179.1 | 192 | |||
27.7 | even | 9 | 648.2.v.b.467.1 | 192 | |||
27.20 | odd | 18 | inner | 216.2.v.b.155.32 | yes | 192 | |
108.47 | even | 18 | 864.2.bh.b.47.14 | 192 | |||
216.101 | odd | 18 | 864.2.bh.b.47.13 | 192 | |||
216.115 | odd | 18 | 648.2.v.b.467.26 | 192 | |||
216.155 | even | 18 | inner | 216.2.v.b.155.7 | yes | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
216.2.v.b.131.7 | ✓ | 192 | 1.1 | even | 1 | trivial | |
216.2.v.b.131.32 | yes | 192 | 8.3 | odd | 2 | inner | |
216.2.v.b.155.7 | yes | 192 | 216.155 | even | 18 | inner | |
216.2.v.b.155.32 | yes | 192 | 27.20 | odd | 18 | inner | |
648.2.v.b.179.1 | 192 | 24.11 | even | 2 | |||
648.2.v.b.179.26 | 192 | 3.2 | odd | 2 | |||
648.2.v.b.467.1 | 192 | 27.7 | even | 9 | |||
648.2.v.b.467.26 | 192 | 216.115 | odd | 18 | |||
864.2.bh.b.47.13 | 192 | 216.101 | odd | 18 | |||
864.2.bh.b.47.14 | 192 | 108.47 | even | 18 | |||
864.2.bh.b.239.13 | 192 | 4.3 | odd | 2 | |||
864.2.bh.b.239.14 | 192 | 8.5 | even | 2 |