Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [75,2,Mod(2,75)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(75, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("75.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 75 = 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 75.l (of order \(20\), degree \(8\), 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: | \(0.598878015160\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 47.5 | ||
Character | \(\chi\) | \(=\) | 75.47 |
Dual form | 75.2.l.a.8.5 |
$q$-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 \(\left(\mathbb{Z}/75\mathbb{Z}\right)^\times\).
\(n\) | \(26\) | \(52\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{17}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0231951 | + | 0.0455229i | 0.0164014 | + | 0.0321896i | 0.899062 | − | 0.437822i | \(-0.144250\pi\) |
−0.882660 | + | 0.470011i | \(0.844250\pi\) | |||||||
\(3\) | −1.39036 | − | 1.03290i | −0.802727 | − | 0.596347i | ||||
\(4\) | 1.17404 | − | 1.61592i | 0.587018 | − | 0.807961i | ||||
\(5\) | −1.22804 | − | 1.86867i | −0.549194 | − | 0.835695i | ||||
\(6\) | 0.0147712 | − | 0.0872517i | 0.00603031 | − | 0.0356203i | ||||
\(7\) | 1.44136 | + | 1.44136i | 0.544784 | + | 0.544784i | 0.924927 | − | 0.380144i | \(-0.124125\pi\) |
−0.380144 | + | 0.924927i | \(0.624125\pi\) | |||||||
\(8\) | 0.201718 | + | 0.0319491i | 0.0713182 | + | 0.0112957i | ||||
\(9\) | 0.866221 | + | 2.87222i | 0.288740 | + | 0.957407i | ||||
\(10\) | 0.0565829 | − | 0.0992477i | 0.0178931 | − | 0.0313849i | ||||
\(11\) | 2.86751 | + | 0.931709i | 0.864586 | + | 0.280921i | 0.707542 | − | 0.706671i | \(-0.249804\pi\) |
0.157043 | + | 0.987592i | \(0.449804\pi\) | |||||||
\(12\) | −3.30143 | + | 1.03405i | −0.953040 | + | 0.298505i | ||||
\(13\) | −2.79268 | − | 1.42294i | −0.774551 | − | 0.394653i | 0.0215884 | − | 0.999767i | \(-0.493128\pi\) |
−0.796139 | + | 0.605114i | \(0.793128\pi\) | |||||||
\(14\) | −0.0321825 | + | 0.0990475i | −0.00860113 | + | 0.0264716i | ||||
\(15\) | −0.222739 | + | 3.86657i | −0.0575110 | + | 0.998345i | ||||
\(16\) | −1.23123 | − | 3.78934i | −0.307808 | − | 0.947334i | ||||
\(17\) | −0.952042 | + | 6.01096i | −0.230904 | + | 1.45787i | 0.551017 | + | 0.834494i | \(0.314240\pi\) |
−0.781921 | + | 0.623377i | \(0.785760\pi\) | |||||||
\(18\) | −0.110660 | + | 0.106054i | −0.0260828 | + | 0.0249972i | ||||
\(19\) | 1.91085 | + | 2.63007i | 0.438380 | + | 0.603378i | 0.969851 | − | 0.243698i | \(-0.0783606\pi\) |
−0.531471 | + | 0.847076i | \(0.678361\pi\) | |||||||
\(20\) | −4.46138 | − | 0.209475i | −0.997596 | − | 0.0468401i | ||||
\(21\) | −0.515229 | − | 3.49280i | −0.112432 | − | 0.762192i | ||||
\(22\) | 0.0240979 | + | 0.152148i | 0.00513769 | + | 0.0324381i | ||||
\(23\) | 5.12542 | − | 2.61153i | 1.06872 | − | 0.544542i | 0.171077 | − | 0.985258i | \(-0.445275\pi\) |
0.897647 | + | 0.440716i | \(0.145275\pi\) | |||||||
\(24\) | −0.247462 | − | 0.252776i | −0.0505129 | − | 0.0515978i | ||||
\(25\) | −1.98385 | + | 4.58959i | −0.396771 | + | 0.917918i | ||||
\(26\) | − | 0.160136i | − | 0.0314053i | ||||||
\(27\) | 1.76237 | − | 4.88816i | 0.339168 | − | 0.940726i | ||||
\(28\) | 4.02134 | − | 0.636918i | 0.759962 | − | 0.120366i | ||||
\(29\) | −0.976916 | − | 0.709771i | −0.181409 | − | 0.131801i | 0.493375 | − | 0.869817i | \(-0.335763\pi\) |
−0.674784 | + | 0.738016i | \(0.735763\pi\) | |||||||
\(30\) | −0.181184 | + | 0.0795457i | −0.0330795 | + | 0.0145230i | ||||
\(31\) | −0.0161330 | + | 0.0117213i | −0.00289757 | + | 0.00210521i | −0.589233 | − | 0.807963i | \(-0.700570\pi\) |
0.586336 | + | 0.810068i | \(0.300570\pi\) | |||||||
\(32\) | 0.432772 | − | 0.432772i | 0.0765040 | − | 0.0765040i | ||||
\(33\) | −3.02451 | − | 4.25727i | −0.526500 | − | 0.741096i | ||||
\(34\) | −0.295719 | + | 0.0960849i | −0.0507154 | + | 0.0164784i | ||||
\(35\) | 0.923385 | − | 4.46347i | 0.156081 | − | 0.754465i | ||||
\(36\) | 5.65826 | + | 1.97235i | 0.943044 | + | 0.328725i | ||||
\(37\) | 1.24327 | − | 2.44005i | 0.204392 | − | 0.401142i | −0.765942 | − | 0.642910i | \(-0.777727\pi\) |
0.970334 | + | 0.241767i | \(0.0777271\pi\) | |||||||
\(38\) | −0.0754058 | + | 0.147992i | −0.0122324 | + | 0.0240075i | ||||
\(39\) | 2.41308 | + | 4.86298i | 0.386402 | + | 0.778700i | ||||
\(40\) | −0.188015 | − | 0.416180i | −0.0297278 | − | 0.0658038i | ||||
\(41\) | −10.1904 | + | 3.31106i | −1.59147 | + | 0.517100i | −0.964979 | − | 0.262328i | \(-0.915510\pi\) |
−0.626491 | + | 0.779428i | \(0.715510\pi\) | |||||||
\(42\) | 0.147052 | − | 0.104471i | 0.0226906 | − | 0.0161202i | ||||
\(43\) | −3.91319 | + | 3.91319i | −0.596755 | + | 0.596755i | −0.939448 | − | 0.342692i | \(-0.888661\pi\) |
0.342692 | + | 0.939448i | \(0.388661\pi\) | |||||||
\(44\) | 4.87212 | − | 3.53981i | 0.734500 | − | 0.533646i | ||||
\(45\) | 4.30349 | − | 5.14587i | 0.641526 | − | 0.767102i | ||||
\(46\) | 0.237769 | + | 0.172749i | 0.0350571 | + | 0.0254705i | ||||
\(47\) | 3.63479 | − | 0.575694i | 0.530188 | − | 0.0839735i | 0.114399 | − | 0.993435i | \(-0.463506\pi\) |
0.415789 | + | 0.909461i | \(0.363506\pi\) | |||||||
\(48\) | −2.20216 | + | 6.54030i | −0.317855 | + | 0.944011i | ||||
\(49\) | − | 2.84495i | − | 0.406422i | ||||||
\(50\) | −0.254947 | + | 0.0161451i | −0.0360550 | + | 0.00228326i | ||||
\(51\) | 7.53242 | − | 7.37405i | 1.05475 | − | 1.03257i | ||||
\(52\) | −5.57807 | + | 2.84217i | −0.773540 | + | 0.394138i | ||||
\(53\) | −0.635421 | − | 4.01189i | −0.0872818 | − | 0.551075i | −0.992117 | − | 0.125314i | \(-0.960006\pi\) |
0.904835 | − | 0.425762i | \(-0.139994\pi\) | |||||||
\(54\) | 0.263401 | − | 0.0331531i | 0.0358444 | − | 0.00451156i | ||||
\(55\) | −1.78034 | − | 6.50259i | −0.240062 | − | 0.876810i | ||||
\(56\) | 0.244699 | + | 0.336799i | 0.0326993 | + | 0.0450067i | ||||
\(57\) | 0.0598219 | − | 5.63047i | 0.00792360 | − | 0.745775i | ||||
\(58\) | 0.00965120 | − | 0.0609353i | 0.00126726 | − | 0.00800119i | ||||
\(59\) | −1.33548 | − | 4.11017i | −0.173864 | − | 0.535099i | 0.825716 | − | 0.564087i | \(-0.190772\pi\) |
−0.999580 | + | 0.0289879i | \(0.990772\pi\) | |||||||
\(60\) | 5.98658 | + | 4.89943i | 0.772864 | + | 0.632513i | ||||
\(61\) | −3.99489 | + | 12.2950i | −0.511493 | + | 1.57421i | 0.278081 | + | 0.960558i | \(0.410302\pi\) |
−0.789574 | + | 0.613656i | \(0.789698\pi\) | |||||||
\(62\) | −0.000907794 | 0 | 0.000462544i | −0.000115290 | 0 | 5.87432e-5i | ||||
\(63\) | −2.89137 | + | 5.38845i | −0.364279 | + | 0.678881i | ||||
\(64\) | −7.54893 | − | 2.45280i | −0.943617 | − | 0.306600i | ||||
\(65\) | 0.770505 | + | 6.96603i | 0.0955694 | + | 0.864029i | ||||
\(66\) | 0.123650 | − | 0.236432i | 0.0152202 | − | 0.0291028i | ||||
\(67\) | −0.920343 | − | 0.145768i | −0.112438 | − | 0.0178084i | 0.0999620 | − | 0.994991i | \(-0.468128\pi\) |
−0.212400 | + | 0.977183i | \(0.568128\pi\) | |||||||
\(68\) | 8.59551 | + | 8.59551i | 1.04236 | + | 1.04236i | ||||
\(69\) | −9.82366 | − | 1.66309i | −1.18263 | − | 0.200212i | ||||
\(70\) | 0.224608 | − | 0.0614955i | 0.0268458 | − | 0.00735012i | ||||
\(71\) | −5.79154 | + | 7.97137i | −0.687329 | + | 0.946028i | −0.999993 | − | 0.00383630i | \(-0.998779\pi\) |
0.312663 | + | 0.949864i | \(0.398779\pi\) | |||||||
\(72\) | 0.0829678 | + | 0.607055i | 0.00977785 | + | 0.0715421i | ||||
\(73\) | 0.0177571 | + | 0.0348503i | 0.00207831 | + | 0.00407891i | 0.892043 | − | 0.451950i | \(-0.149271\pi\) |
−0.889965 | + | 0.456029i | \(0.849271\pi\) | |||||||
\(74\) | 0.139916 | 0.0162649 | ||||||||
\(75\) | 7.49888 | − | 4.33207i | 0.865896 | − | 0.500224i | ||||
\(76\) | 6.49339 | 0.744843 | ||||||||
\(77\) | 2.79018 | + | 5.47604i | 0.317971 | + | 0.624053i | ||||
\(78\) | −0.165405 | + | 0.222648i | −0.0187285 | + | 0.0252099i | ||||
\(79\) | −6.00647 | + | 8.26720i | −0.675781 | + | 0.930133i | −0.999874 | − | 0.0158924i | \(-0.994941\pi\) |
0.324093 | + | 0.946025i | \(0.394941\pi\) | |||||||
\(80\) | −5.56902 | + | 6.95421i | −0.622636 | + | 0.777504i | ||||
\(81\) | −7.49932 | + | 4.97596i | −0.833258 | + | 0.552884i | ||||
\(82\) | −0.387096 | − | 0.387096i | −0.0427476 | − | 0.0427476i | ||||
\(83\) | −2.17217 | − | 0.344039i | −0.238427 | − | 0.0377632i | 0.0360772 | − | 0.999349i | \(-0.488514\pi\) |
−0.274504 | + | 0.961586i | \(0.588514\pi\) | |||||||
\(84\) | −6.24900 | − | 3.26811i | −0.681822 | − | 0.356580i | ||||
\(85\) | 12.4016 | − | 5.60262i | 1.34515 | − | 0.607690i | ||||
\(86\) | −0.268906 | − | 0.0873730i | −0.0289969 | − | 0.00942167i | ||||
\(87\) | 0.625143 | + | 1.99590i | 0.0670224 | + | 0.213983i | ||||
\(88\) | 0.548661 | + | 0.279557i | 0.0584875 | + | 0.0298009i | ||||
\(89\) | 4.18096 | − | 12.8677i | 0.443181 | − | 1.36397i | −0.441285 | − | 0.897367i | \(-0.645477\pi\) |
0.884466 | − | 0.466604i | \(-0.154523\pi\) | |||||||
\(90\) | 0.334075 | + | 0.0765482i | 0.0352146 | + | 0.00806889i | ||||
\(91\) | −1.97429 | − | 6.07624i | −0.206962 | − | 0.636963i | ||||
\(92\) | 1.79740 | − | 11.3483i | 0.187392 | − | 1.18314i | ||||
\(93\) | 0.0345377 | 0.000366951i | 0.00358139 | 3.80511e-5i | ||||||
\(94\) | 0.110516 | + | 0.152113i | 0.0113989 | + | 0.0156892i | ||||
\(95\) | 2.56813 | − | 6.80057i | 0.263484 | − | 0.697724i | ||||
\(96\) | −1.04872 | + | 0.154699i | −0.107035 | + | 0.0157889i | ||||
\(97\) | −0.838657 | − | 5.29507i | −0.0851527 | − | 0.537633i | −0.992979 | − | 0.118287i | \(-0.962260\pi\) |
0.907827 | − | 0.419346i | \(-0.137740\pi\) | |||||||
\(98\) | 0.129510 | − | 0.0659889i | 0.0130825 | − | 0.00666588i | ||||
\(99\) | −0.192183 | + | 9.04318i | −0.0193151 | + | 0.908874i | ||||
\(100\) | 5.08730 | + | 8.59410i | 0.508730 | + | 0.859410i | ||||
\(101\) | − | 12.2476i | − | 1.21869i | −0.792907 | − | 0.609343i | \(-0.791433\pi\) | ||
0.792907 | − | 0.609343i | \(-0.208567\pi\) | |||||||
\(102\) | 0.510403 | + | 0.171856i | 0.0505374 | + | 0.0170163i | ||||
\(103\) | 16.5959 | − | 2.62854i | 1.63525 | − | 0.258998i | 0.729863 | − | 0.683593i | \(-0.239584\pi\) |
0.905383 | + | 0.424596i | \(0.139584\pi\) | |||||||
\(104\) | −0.517874 | − | 0.376257i | −0.0507817 | − | 0.0368951i | ||||
\(105\) | −5.89418 | + | 5.25208i | −0.575213 | + | 0.512551i | ||||
\(106\) | 0.167894 | − | 0.121982i | 0.0163073 | − | 0.0118480i | ||||
\(107\) | −3.55622 | + | 3.55622i | −0.343793 | + | 0.343793i | −0.857791 | − | 0.513998i | \(-0.828164\pi\) |
0.513998 | + | 0.857791i | \(0.328164\pi\) | |||||||
\(108\) | −5.82980 | − | 8.58672i | −0.560972 | − | 0.826257i | ||||
\(109\) | 9.79911 | − | 3.18392i | 0.938585 | − | 0.304965i | 0.200516 | − | 0.979690i | \(-0.435738\pi\) |
0.738069 | + | 0.674726i | \(0.235738\pi\) | |||||||
\(110\) | 0.254722 | − | 0.231875i | 0.0242868 | − | 0.0221084i | ||||
\(111\) | −4.24894 | + | 2.10838i | −0.403291 | + | 0.200119i | ||||
\(112\) | 3.68716 | − | 7.23645i | 0.348404 | − | 0.683781i | ||||
\(113\) | −3.97267 | + | 7.79680i | −0.373717 | + | 0.733462i | −0.998894 | − | 0.0470217i | \(-0.985027\pi\) |
0.625176 | + | 0.780483i | \(0.285027\pi\) | |||||||
\(114\) | 0.257703 | − | 0.127876i | 0.0241361 | − | 0.0119767i | ||||
\(115\) | −11.1743 | − | 6.37066i | −1.04201 | − | 0.594067i | ||||
\(116\) | −2.29387 | + | 0.745324i | −0.212980 | + | 0.0692016i | ||||
\(117\) | 1.66793 | − | 9.25379i | 0.154200 | − | 0.855513i | ||||
\(118\) | 0.156130 | − | 0.156130i | 0.0143730 | − | 0.0143730i | ||||
\(119\) | −10.0362 | + | 7.29173i | −0.920017 | + | 0.668432i | ||||
\(120\) | −0.168464 | + | 0.772843i | −0.0153786 | + | 0.0705506i | ||||
\(121\) | −1.54468 | − | 1.12228i | −0.140425 | − | 0.102025i | ||||
\(122\) | −0.652366 | + | 0.103325i | −0.0590624 | + | 0.00935457i | ||||
\(123\) | 17.5883 | + | 5.92211i | 1.58589 | + | 0.533979i | ||||
\(124\) | 0.0398309i | 0.00357692i | ||||||||
\(125\) | 11.0127 | − | 1.92901i | 0.985003 | − | 0.172536i | ||||
\(126\) | −0.312364 | − | 0.00663826i | −0.0278276 | − | 0.000591383i | ||||
\(127\) | 3.11066 | − | 1.58496i | 0.276026 | − | 0.140642i | −0.310498 | − | 0.950574i | \(-0.600496\pi\) |
0.586524 | + | 0.809932i | \(0.300496\pi\) | |||||||
\(128\) | −0.254925 | − | 1.60954i | −0.0225324 | − | 0.142264i | ||||
\(129\) | 9.48270 | − | 1.39881i | 0.834905 | − | 0.123158i | ||||
\(130\) | −0.299242 | + | 0.196653i | −0.0262452 | + | 0.0172476i | ||||
\(131\) | 4.58971 | + | 6.31720i | 0.401005 | + | 0.551936i | 0.960996 | − | 0.276563i | \(-0.0891953\pi\) |
−0.559991 | + | 0.828499i | \(0.689195\pi\) | |||||||
\(132\) | −10.4303 | − | 0.110818i | −0.907841 | − | 0.00964550i | ||||
\(133\) | −1.03664 | + | 6.54511i | −0.0898884 | + | 0.567533i | ||||
\(134\) | −0.0147116 | − | 0.0452778i | −0.00127089 | − | 0.00391140i | ||||
\(135\) | −11.2986 | + | 2.70955i | −0.972429 | + | 0.233201i | ||||
\(136\) | −0.384089 | + | 1.18210i | −0.0329353 | + | 0.101365i | ||||
\(137\) | 8.83454 | + | 4.50142i | 0.754786 | + | 0.384583i | 0.788649 | − | 0.614844i | \(-0.210781\pi\) |
−0.0338629 | + | 0.999426i | \(0.510781\pi\) | |||||||
\(138\) | −0.152152 | − | 0.485777i | −0.0129520 | − | 0.0413521i | ||||
\(139\) | 4.81723 | + | 1.56521i | 0.408592 | + | 0.132760i | 0.506100 | − | 0.862475i | \(-0.331087\pi\) |
−0.0975070 | + | 0.995235i | \(0.531087\pi\) | |||||||
\(140\) | −6.12854 | − | 6.73240i | −0.517956 | − | 0.568992i | ||||
\(141\) | −5.64831 | − | 2.95396i | −0.475674 | − | 0.248768i | ||||
\(142\) | −0.497215 | − | 0.0787512i | −0.0417254 | − | 0.00660865i | ||||
\(143\) | −6.68226 | − | 6.68226i | −0.558799 | − | 0.558799i | ||||
\(144\) | 9.81730 | − | 6.81877i | 0.818108 | − | 0.568231i | ||||
\(145\) | −0.126640 | + | 2.69716i | −0.0105168 | + | 0.223987i | ||||
\(146\) | −0.00117461 | + | 0.00161671i | −9.72113e−5 | + | 0.000133800i | ||||
\(147\) | −2.93856 | + | 3.95552i | −0.242368 | + | 0.326245i | ||||
\(148\) | −2.48329 | − | 4.87374i | −0.204125 | − | 0.400619i | ||||
\(149\) | 2.08572 | 0.170869 | 0.0854344 | − | 0.996344i | \(-0.472772\pi\) | ||||
0.0854344 | + | 0.996344i | \(0.472772\pi\) | |||||||
\(150\) | 0.371145 | + | 0.240888i | 0.0303039 | + | 0.0196684i | ||||
\(151\) | 3.13158 | 0.254844 | 0.127422 | − | 0.991849i | \(-0.459330\pi\) | ||||
0.127422 | + | 0.991849i | \(0.459330\pi\) | |||||||
\(152\) | 0.301426 | + | 0.591583i | 0.0244489 | + | 0.0479837i | ||||
\(153\) | −18.0895 | + | 2.47234i | −1.46245 | + | 0.199877i | ||||
\(154\) | −0.184567 | + | 0.254035i | −0.0148728 | + | 0.0204707i | ||||
\(155\) | 0.0417151 | + | 0.0157530i | 0.00335064 | + | 0.00126532i | ||||
\(156\) | 10.6912 | + | 1.80996i | 0.855984 | + | 0.144913i | ||||
\(157\) | 4.55824 | + | 4.55824i | 0.363787 | + | 0.363787i | 0.865205 | − | 0.501418i | \(-0.167188\pi\) |
−0.501418 | + | 0.865205i | \(0.667188\pi\) | |||||||
\(158\) | −0.515668 | − | 0.0816737i | −0.0410243 | − | 0.00649761i | ||||
\(159\) | −3.26043 | + | 6.23431i | −0.258569 | + | 0.494413i | ||||
\(160\) | −1.34017 | − | 0.277248i | −0.105950 | − | 0.0219184i | ||||
\(161\) | 11.1517 | + | 3.62342i | 0.878881 | + | 0.285566i | ||||
\(162\) | −0.400467 | − | 0.225973i | −0.0314637 | − | 0.0177541i | ||||
\(163\) | −16.2906 | − | 8.30047i | −1.27598 | − | 0.650143i | −0.321072 | − | 0.947055i | \(-0.604043\pi\) |
−0.954905 | + | 0.296912i | \(0.904043\pi\) | |||||||
\(164\) | −6.61347 | + | 20.3542i | −0.516425 | + | 1.58939i | ||||
\(165\) | −4.24123 | + | 10.8799i | −0.330179 | + | 0.846998i | ||||
\(166\) | −0.0347221 | − | 0.106864i | −0.00269496 | − | 0.00829423i | ||||
\(167\) | −0.197736 | + | 1.24845i | −0.0153012 | + | 0.0966082i | −0.994157 | − | 0.107943i | \(-0.965574\pi\) |
0.978856 | + | 0.204551i | \(0.0655735\pi\) | |||||||
\(168\) | 0.00766063 | − | 0.721024i | 0.000591031 | − | 0.0556282i | ||||
\(169\) | −1.86690 | − | 2.56957i | −0.143608 | − | 0.197659i | ||||
\(170\) | 0.542705 | + | 0.434605i | 0.0416235 | + | 0.0333327i | ||||
\(171\) | −5.89891 | + | 7.76662i | −0.451101 | + | 0.593928i | ||||
\(172\) | 1.72918 | + | 10.9176i | 0.131849 | + | 0.832461i | ||||
\(173\) | −1.84621 | + | 0.940691i | −0.140365 | + | 0.0715194i | −0.522762 | − | 0.852478i | \(-0.675098\pi\) |
0.382398 | + | 0.923998i | \(0.375098\pi\) | |||||||
\(174\) | −0.0763589 | + | 0.0747534i | −0.00578876 | + | 0.00566704i | ||||
\(175\) | −9.47471 | + | 3.75581i | −0.716221 | + | 0.283912i | ||||
\(176\) | − | 12.0131i | − | 0.905521i | ||||||
\(177\) | −2.38861 | + | 7.09405i | −0.179539 | + | 0.533221i | ||||
\(178\) | 0.682752 | − | 0.108137i | 0.0511744 | − | 0.00810523i | ||||
\(179\) | 4.10633 | + | 2.98343i | 0.306922 | + | 0.222992i | 0.730575 | − | 0.682833i | \(-0.239252\pi\) |
−0.423653 | + | 0.905825i | \(0.639252\pi\) | |||||||
\(180\) | −3.26288 | − | 12.9955i | −0.243201 | − | 0.968630i | ||||
\(181\) | 0.846389 | − | 0.614938i | 0.0629116 | − | 0.0457080i | −0.555885 | − | 0.831259i | \(-0.687621\pi\) |
0.618797 | + | 0.785551i | \(0.287621\pi\) | |||||||
\(182\) | 0.230814 | − | 0.230814i | 0.0171091 | − | 0.0171091i | ||||
\(183\) | 18.2539 | − | 12.9682i | 1.34937 | − | 0.958636i | ||||
\(184\) | 1.11733 | − | 0.363042i | 0.0823705 | − | 0.0267638i | ||||
\(185\) | −6.08643 | + | 0.673214i | −0.447484 | + | 0.0494957i | ||||
\(186\) | 0.000784400 | 0.00158077i | 5.75150e−5 | 0.000115908i | ||||||
\(187\) | −8.33045 | + | 16.3494i | −0.609183 | + | 1.19559i | ||||
\(188\) | 3.33709 | − | 6.54942i | 0.243383 | − | 0.477665i | ||||
\(189\) | 9.58581 | − | 4.50539i | 0.697265 | − | 0.327719i | ||||
\(190\) | 0.369150 | − | 0.0408313i | 0.0267809 | − | 0.00296221i | ||||
\(191\) | 18.0007 | − | 5.84879i | 1.30249 | − | 0.423204i | 0.426041 | − | 0.904704i | \(-0.359908\pi\) |
0.876446 | + | 0.481500i | \(0.159908\pi\) | |||||||
\(192\) | 7.96226 | + | 11.2076i | 0.574627 | + | 0.808839i | ||||
\(193\) | −7.84492 | + | 7.84492i | −0.564690 | + | 0.564690i | −0.930636 | − | 0.365946i | \(-0.880745\pi\) |
0.365946 | + | 0.930636i | \(0.380745\pi\) | |||||||
\(194\) | 0.221594 | − | 0.160998i | 0.0159095 | − | 0.0115590i | ||||
\(195\) | 6.12395 | − | 10.4812i | 0.438545 | − | 0.750572i | ||||
\(196\) | −4.59722 | − | 3.34008i | −0.328373 | − | 0.238577i | ||||
\(197\) | −24.8793 | + | 3.94049i | −1.77257 | + | 0.280748i | −0.955329 | − | 0.295543i | \(-0.904499\pi\) |
−0.817244 | + | 0.576291i | \(0.804499\pi\) | |||||||
\(198\) | −0.416130 | + | 0.201009i | −0.0295730 | + | 0.0142851i | ||||
\(199\) | − | 16.1153i | − | 1.14238i | −0.820817 | − | 0.571191i | \(-0.806482\pi\) | ||
0.820817 | − | 0.571191i | \(-0.193518\pi\) | |||||||
\(200\) | −0.546813 | + | 0.862422i | −0.0386655 | + | 0.0609825i | ||||
\(201\) | 1.12905 | + | 1.15330i | 0.0796368 | + | 0.0813472i | ||||
\(202\) | 0.557548 | − | 0.284085i | 0.0392290 | − | 0.0199882i | ||||
\(203\) | −0.385053 | − | 2.43113i | −0.0270254 | − | 0.170632i | ||||
\(204\) | −3.07255 | − | 20.8292i | −0.215121 | − | 1.45834i | ||||
\(205\) | 18.7014 | + | 14.9764i | 1.30616 | + | 1.04599i | ||||
\(206\) | 0.504603 | + | 0.694526i | 0.0351573 | + | 0.0483899i | ||||
\(207\) | 11.9406 | + | 12.4592i | 0.829932 | + | 0.865973i | ||||
\(208\) | −1.95357 | + | 12.3344i | −0.135456 | + | 0.855236i | ||||
\(209\) | 3.02893 | + | 9.32209i | 0.209515 | + | 0.644822i | ||||
\(210\) | −0.375806 | − | 0.146498i | −0.0259331 | − | 0.0101093i | ||||
\(211\) | 4.91691 | − | 15.1327i | 0.338494 | − | 1.04178i | −0.626481 | − | 0.779436i | \(-0.715506\pi\) |
0.964975 | − | 0.262341i | \(-0.0844944\pi\) | |||||||
\(212\) | −7.22891 | − | 3.68331i | −0.496484 | − | 0.252971i | ||||
\(213\) | 16.2860 | − | 5.10100i | 1.11590 | − | 0.349515i | ||||
\(214\) | −0.244376 | − | 0.0794027i | −0.0167052 | − | 0.00542786i | ||||
\(215\) | 12.1180 | + | 2.50692i | 0.826440 | + | 0.170970i | ||||
\(216\) | 0.511674 | − | 0.929725i | 0.0348150 | − | 0.0632598i | ||||
\(217\) | −0.0401481 | − | 0.00635884i | −0.00272543 | − | 0.000431666i | ||||
\(218\) | 0.372233 | + | 0.372233i | 0.0252108 | + | 0.0252108i | ||||
\(219\) | 0.0113081 | − | 0.0667959i | 0.000764134 | − | 0.00451365i | ||||
\(220\) | −12.5979 | − | 4.75738i | −0.849349 | − | 0.320743i | ||||
\(221\) | 11.2120 | − | 15.4320i | 0.754201 | − | 1.03807i | ||||
\(222\) | −0.194534 | − | 0.144520i | −0.0130563 | − | 0.00969953i | ||||
\(223\) | −9.88171 | − | 19.3939i | −0.661728 | − | 1.29871i | −0.940969 | − | 0.338494i | \(-0.890083\pi\) |
0.279240 | − | 0.960221i | \(-0.409917\pi\) | |||||||
\(224\) | 1.24756 | 0.0833563 | ||||||||
\(225\) | −14.9008 | − | 1.72247i | −0.993385 | − | 0.114832i | ||||
\(226\) | −0.447080 | −0.0297393 | ||||||||
\(227\) | −9.73935 | − | 19.1146i | −0.646423 | − | 1.26868i | −0.948917 | − | 0.315526i | \(-0.897819\pi\) |
0.302493 | − | 0.953151i | \(-0.402181\pi\) | |||||||
\(228\) | −9.02818 | − | 6.70705i | −0.597906 | − | 0.444185i | ||||
\(229\) | −6.79217 | + | 9.34861i | −0.448839 | + | 0.617774i | −0.972148 | − | 0.234369i | \(-0.924697\pi\) |
0.523309 | + | 0.852143i | \(0.324697\pi\) | |||||||
\(230\) | 0.0308225 | − | 0.656454i | 0.00203237 | − | 0.0432853i | ||||
\(231\) | 1.77686 | − | 10.4957i | 0.116909 | − | 0.690565i | ||||
\(232\) | −0.174385 | − | 0.174385i | −0.0114490 | − | 0.0114490i | ||||
\(233\) | −14.4364 | − | 2.28650i | −0.945759 | − | 0.149793i | −0.335540 | − | 0.942026i | \(-0.608919\pi\) |
−0.610219 | + | 0.792233i | \(0.708919\pi\) | |||||||
\(234\) | 0.459947 | − | 0.138713i | 0.0300677 | − | 0.00906798i | ||||
\(235\) | −5.53943 | − | 6.08524i | −0.361353 | − | 0.396957i | ||||
\(236\) | −8.20961 | − | 2.66746i | −0.534400 | − | 0.173637i | ||||
\(237\) | 16.8904 | − | 5.29031i | 1.09715 | − | 0.343642i | ||||
\(238\) | −0.564731 | − | 0.287745i | −0.0366061 | − | 0.0186517i | ||||
\(239\) | −1.25167 | + | 3.85226i | −0.0809640 | + | 0.249182i | −0.983342 | − | 0.181763i | \(-0.941820\pi\) |
0.902378 | + | 0.430945i | \(0.141820\pi\) | |||||||
\(240\) | 14.9260 | − | 3.91661i | 0.963469 | − | 0.252816i | ||||
\(241\) | −0.611740 | − | 1.88274i | −0.0394057 | − | 0.121278i | 0.929419 | − | 0.369027i | \(-0.120309\pi\) |
−0.968824 | + | 0.247749i | \(0.920309\pi\) | |||||||
\(242\) | 0.0152603 | − | 0.0963496i | 0.000980967 | − | 0.00619358i | ||||
\(243\) | 15.5665 | + | 0.827690i | 0.998589 | + | 0.0530963i | ||||
\(244\) | 15.1776 | + | 20.8902i | 0.971648 | + | 1.33736i | ||||
\(245\) | −5.31628 | + | 3.49370i | −0.339644 | + | 0.223205i | ||||
\(246\) | 0.138371 | + | 0.938036i | 0.00882222 | + | 0.0598070i | ||||
\(247\) | −1.59398 | − | 10.0640i | −0.101422 | − | 0.640355i | ||||
\(248\) | −0.00362881 | + | 0.00184897i | −0.000230429 | + | 0.000117410i | ||||
\(249\) | 2.66475 | + | 2.72199i | 0.168872 | + | 0.172499i | ||||
\(250\) | 0.343254 | + | 0.456585i | 0.0217093 | + | 0.0288770i | ||||
\(251\) | 27.0328i | 1.70629i | 0.521671 | + | 0.853147i | \(0.325309\pi\) | ||||
−0.521671 | + | 0.853147i | \(0.674691\pi\) | |||||||
\(252\) | 5.31274 | + | 10.9985i | 0.334671 | + | 0.692839i | ||||
\(253\) | 17.1304 | − | 2.71318i | 1.07698 | − | 0.170576i | ||||
\(254\) | 0.144304 | + | 0.104843i | 0.00905443 | + | 0.00657843i | ||||
\(255\) | −23.0297 | − | 5.02002i | −1.44218 | − | 0.314366i | ||||
\(256\) | −12.7757 | + | 9.28206i | −0.798479 | + | 0.580129i | ||||
\(257\) | 8.81239 | − | 8.81239i | 0.549701 | − | 0.549701i | −0.376653 | − | 0.926354i | \(-0.622925\pi\) |
0.926354 | + | 0.376653i | \(0.122925\pi\) | |||||||
\(258\) | 0.283630 | + | 0.399234i | 0.0176580 | + | 0.0248553i | ||||
\(259\) | 5.30900 | − | 1.72500i | 0.329885 | − | 0.107186i | ||||
\(260\) | 12.1612 | + | 6.93329i | 0.754203 | + | 0.429984i | ||||
\(261\) | 1.19240 | − | 3.42074i | 0.0738074 | − | 0.211738i | ||||
\(262\) | −0.181119 | + | 0.355465i | −0.0111895 | + | 0.0219607i | ||||
\(263\) | −1.63641 | + | 3.21164i | −0.100906 | + | 0.198038i | −0.935940 | − | 0.352159i | \(-0.885448\pi\) |
0.835035 | + | 0.550198i | \(0.185448\pi\) | |||||||
\(264\) | −0.474083 | − | 0.955400i | −0.0291778 | − | 0.0588008i | ||||
\(265\) | −6.71658 | + | 6.11414i | −0.412596 | + | 0.375589i | ||||
\(266\) | −0.321997 | + | 0.104623i | −0.0197429 | + | 0.00641487i | ||||
\(267\) | −19.1041 | + | 13.5722i | −1.16915 | + | 0.830607i | ||||
\(268\) | −1.31607 | + | 1.31607i | −0.0803915 | + | 0.0803915i | ||||
\(269\) | 10.9791 | − | 7.97680i | 0.669409 | − | 0.486354i | −0.200418 | − | 0.979710i | \(-0.564230\pi\) |
0.869827 | + | 0.493356i | \(0.164230\pi\) | |||||||
\(270\) | −0.385418 | − | 0.451497i | −0.0234558 | − | 0.0274772i | ||||
\(271\) | 6.66756 | + | 4.84427i | 0.405026 | + | 0.294268i | 0.771585 | − | 0.636126i | \(-0.219464\pi\) |
−0.366559 | + | 0.930395i | \(0.619464\pi\) | |||||||
\(272\) | 23.9497 | − | 3.79326i | 1.45217 | − | 0.230000i | ||||
\(273\) | −3.53119 | + | 10.4874i | −0.213717 | + | 0.634728i | ||||
\(274\) | 0.506585i | 0.0306039i | ||||||||
\(275\) | −9.96487 | + | 11.3123i | −0.600905 | + | 0.682157i | ||||
\(276\) | −14.2207 | + | 13.9217i | −0.855988 | + | 0.837990i | ||||
\(277\) | 17.2075 | − | 8.76768i | 1.03390 | − | 0.526799i | 0.147182 | − | 0.989109i | \(-0.452980\pi\) |
0.886718 | + | 0.462311i | \(0.152980\pi\) | |||||||
\(278\) | 0.0404830 | + | 0.255600i | 0.00242801 | + | 0.0153299i | ||||
\(279\) | −0.0476409 | − | 0.0361843i | −0.00285219 | − | 0.00216630i | ||||
\(280\) | 0.328868 | − | 0.870864i | 0.0196536 | − | 0.0520441i | ||||
\(281\) | −6.10119 | − | 8.39756i | −0.363966 | − | 0.500957i | 0.587282 | − | 0.809382i | \(-0.300198\pi\) |
−0.951248 | + | 0.308426i | \(0.900198\pi\) | |||||||
\(282\) | 0.00345987 | − | 0.325645i | 0.000206032 | − | 0.0193919i | ||||
\(283\) | −1.50821 | + | 9.52247i | −0.0896539 | + | 0.566052i | 0.901442 | + | 0.432900i | \(0.142510\pi\) |
−0.991096 | + | 0.133152i | \(0.957490\pi\) | |||||||
\(284\) | 6.08164 | + | 18.7174i | 0.360879 | + | 1.11067i | ||||
\(285\) | −10.5950 | + | 6.80264i | −0.627591 | + | 0.402954i | ||||
\(286\) | 0.149200 | − | 0.459192i | 0.00882241 | − | 0.0271526i | ||||
\(287\) | −19.4605 | − | 9.91560i | −1.14871 | − | 0.585299i | ||||
\(288\) | 1.61789 | + | 0.868141i | 0.0953353 | + | 0.0511557i | ||||
\(289\) | −19.0573 | − | 6.19208i | −1.12102 | − | 0.364240i | ||||
\(290\) | −0.125720 | + | 0.0567958i | −0.00738253 | + | 0.00333517i | ||||
\(291\) | −4.30326 | + | 8.22833i | −0.252262 | + | 0.482353i | ||||
\(292\) | 0.0771628 | + | 0.0122214i | 0.00451561 | + | 0.000715202i | ||||
\(293\) | −7.74605 | − | 7.74605i | −0.452529 | − | 0.452529i | 0.443664 | − | 0.896193i | \(-0.353678\pi\) |
−0.896193 | + | 0.443664i | \(0.853678\pi\) | |||||||
\(294\) | −0.248227 | − | 0.0420233i | −0.0144769 | − | 0.00245085i | ||||
\(295\) | −6.04054 | + | 7.54300i | −0.351694 | + | 0.439171i | ||||
\(296\) | 0.328748 | − | 0.452482i | 0.0191081 | − | 0.0263000i | ||||
\(297\) | 9.60794 | − | 12.3748i | 0.557509 | − | 0.718059i | ||||
\(298\) | 0.0483784 | + | 0.0949480i | 0.00280249 | + | 0.00550019i | ||||
\(299\) | −18.0297 | −1.04269 | ||||||||
\(300\) | 1.80368 | − | 17.2036i | 0.104135 | − | 0.993251i | ||||
\(301\) | −11.2806 | −0.650205 | ||||||||
\(302\) | 0.0726372 | + | 0.142558i | 0.00417980 | + | 0.00820332i | ||||
\(303\) | −12.6506 | + | 17.0287i | −0.726760 | + | 0.978272i | ||||
\(304\) | 7.61350 | − | 10.4791i | 0.436664 | − | 0.601017i | ||||
\(305\) | 27.8812 | − | 7.63358i | 1.59647 | − | 0.437098i | ||||
\(306\) | −0.532135 | − | 0.766140i | −0.0304201 | − | 0.0437973i | ||||
\(307\) | −17.8437 | − | 17.8437i | −1.01839 | − | 1.01839i | −0.999828 | − | 0.0185640i | \(-0.994091\pi\) |
−0.0185640 | − | 0.999828i | \(-0.505909\pi\) | |||||||
\(308\) | 12.1246 | + | 1.92035i | 0.690865 | + | 0.109422i | ||||
\(309\) | −25.7894 | − | 13.4874i | −1.46711 | − | 0.767270i | ||||
\(310\) | 0.000250462 | 0.00226439i | 1.42253e−5 | 0.000128609i | ||||||
\(311\) | −4.51681 | − | 1.46760i | −0.256125 | − | 0.0832199i | 0.178140 | − | 0.984005i | \(-0.442992\pi\) |
−0.434265 | + | 0.900785i | \(0.642992\pi\) | |||||||
\(312\) | 0.331395 | + | 1.05805i | 0.0187616 | + | 0.0599002i | ||||
\(313\) | 24.0613 | + | 12.2599i | 1.36003 | + | 0.692968i | 0.973367 | − | 0.229254i | \(-0.0736287\pi\) |
0.386660 | + | 0.922222i | \(0.373629\pi\) | |||||||
\(314\) | −0.101776 | + | 0.313233i | −0.00574353 | + | 0.0176768i | ||||
\(315\) | 13.6199 | − | 1.21419i | 0.767397 | − | 0.0684117i | ||||
\(316\) | 6.30734 | + | 19.4120i | 0.354815 | + | 1.09201i | ||||
\(317\) | −0.606678 | + | 3.83042i | −0.0340745 | + | 0.215138i | −0.998850 | − | 0.0479351i | \(-0.984736\pi\) |
0.964776 | + | 0.263073i | \(0.0847359\pi\) | |||||||
\(318\) | −0.359430 | − | 0.00381882i | −0.0201558 | − | 0.000214149i | ||||
\(319\) | −2.14001 | − | 2.94547i | −0.119818 | − | 0.164915i | ||||
\(320\) | 4.68690 | + | 17.1186i | 0.262005 | + | 0.956958i | ||||
\(321\) | 8.61767 | − | 1.27121i | 0.480992 | − | 0.0709518i | ||||
\(322\) | 0.0937170 | + | 0.591706i | 0.00522264 | + | 0.0329745i | ||||
\(323\) | −17.6284 | + | 8.98213i | −0.980872 | + | 0.499779i | ||||
\(324\) | −0.763718 | + | 17.9603i | −0.0424288 | + | 0.997793i | ||||
\(325\) | 12.0710 | − | 9.99435i | 0.669578 | − | 0.554387i | ||||
\(326\) | − | 0.934125i | − | 0.0517364i | ||||||
\(327\) | −16.9130 | − | 5.69473i | −0.935292 | − | 0.314919i | ||||
\(328\) | −2.16137 | + | 0.342328i | −0.119342 | + | 0.0189019i | ||||
\(329\) | 6.06883 | + | 4.40926i | 0.334585 | + | 0.243090i | ||||
\(330\) | −0.593660 | + | 0.0592870i | −0.0326799 | + | 0.00326364i | ||||
\(331\) | 14.0789 | − | 10.2289i | 0.773845 | − | 0.562232i | −0.129280 | − | 0.991608i | \(-0.541267\pi\) |
0.903126 | + | 0.429377i | \(0.141267\pi\) | |||||||
\(332\) | −3.10615 | + | 3.10615i | −0.170472 | + | 0.170472i | ||||
\(333\) | 8.08532 | + | 1.45732i | 0.443073 | + | 0.0798607i | ||||
\(334\) | −0.0614197 | + | 0.0199565i | −0.00336074 | + | 0.00109197i | ||||
\(335\) | 0.857822 | + | 1.89882i | 0.0468678 | + | 0.103744i | ||||
\(336\) | −12.6010 | + | 6.25282i | −0.687444 | + | 0.341119i | ||||
\(337\) | −6.33712 | + | 12.4373i | −0.345205 | + | 0.677503i | −0.996702 | − | 0.0811484i | \(-0.974141\pi\) |
0.651497 | + | 0.758651i | \(0.274141\pi\) | |||||||
\(338\) | 0.0736713 | − | 0.144588i | 0.00400719 | − | 0.00786455i | ||||
\(339\) | 13.5768 | − | 6.73701i | 0.737391 | − | 0.365904i | ||||
\(340\) | 5.50657 | − | 26.6178i | 0.298636 | − | 1.44355i | ||||
\(341\) | −0.0571823 | + | 0.0185797i | −0.00309659 | + | 0.00100614i | ||||
\(342\) | −0.490385 | − | 0.0883883i | −0.0265170 | − | 0.00477949i | ||||
\(343\) | 14.1901 | − | 14.1901i | 0.766195 | − | 0.766195i | ||||
\(344\) | −0.914384 | + | 0.664339i | −0.0493003 | + | 0.0358188i | ||||
\(345\) | 8.95605 | + | 20.3995i | 0.482177 | + | 1.09827i | ||||
\(346\) | −0.0856460 | − | 0.0622255i | −0.00460436 | − | 0.00334526i | ||||
\(347\) | 16.0196 | − | 2.53725i | 0.859977 | − | 0.136207i | 0.289156 | − | 0.957282i | \(-0.406625\pi\) |
0.570820 | + | 0.821075i | \(0.306625\pi\) | |||||||
\(348\) | 3.95916 | + | 1.33308i | 0.212233 | + | 0.0714604i | ||||
\(349\) | − | 3.27425i | − | 0.175267i | −0.996153 | − | 0.0876333i | \(-0.972070\pi\) | ||
0.996153 | − | 0.0876333i | \(-0.0279304\pi\) | |||||||
\(350\) | −0.390742 | − | 0.344200i | −0.0208860 | − | 0.0183983i | ||||
\(351\) | −11.8773 | + | 11.1433i | −0.633963 | + | 0.594786i | ||||
\(352\) | 1.64419 | − | 0.837759i | 0.0876358 | − | 0.0446527i | ||||
\(353\) | 4.57504 | + | 28.8857i | 0.243505 | + | 1.53743i | 0.741919 | + | 0.670490i | \(0.233916\pi\) |
−0.498414 | + | 0.866939i | \(0.666084\pi\) | |||||||
\(354\) | −0.378346 | + | 0.0558104i | −0.0201089 | + | 0.00296629i | ||||
\(355\) | 22.0081 | + | 1.03334i | 1.16807 | + | 0.0548442i | ||||
\(356\) | −15.8846 | − | 21.8632i | −0.841881 | − | 1.15875i | ||||
\(357\) | 21.4856 | + | 0.228277i | 1.13714 | + | 0.0120817i | ||||
\(358\) | −0.0405675 | + | 0.256133i | −0.00214406 | + | 0.0135371i | ||||
\(359\) | −8.54970 | − | 26.3133i | −0.451236 | − | 1.38876i | −0.875498 | − | 0.483222i | \(-0.839466\pi\) |
0.424262 | − | 0.905540i | \(-0.360534\pi\) | |||||||
\(360\) | 1.03250 | − | 0.900525i | 0.0544174 | − | 0.0474618i | ||||
\(361\) | 2.60544 | − | 8.01873i | 0.137129 | − | 0.422038i | ||||
\(362\) | 0.0476258 | + | 0.0242666i | 0.00250316 | + | 0.00127542i | ||||
\(363\) | 0.988464 | + | 3.15588i | 0.0518809 | + | 0.165640i | ||||
\(364\) | −12.1366 | − | 3.94343i | −0.636132 | − | 0.206692i | ||||
\(365\) | 0.0433173 | − | 0.0759795i | 0.00226733 | − | 0.00397695i | ||||
\(366\) | 1.01375 | + | 0.530172i | 0.0529896 | + | 0.0277126i | ||||
\(367\) | 5.42920 | + | 0.859901i | 0.283402 | + | 0.0448865i | 0.296517 | − | 0.955028i | \(-0.404175\pi\) |
−0.0131151 | + | 0.999914i | \(0.504175\pi\) | |||||||
\(368\) | −16.2065 | − | 16.2065i | −0.844825 | − | 0.844825i | ||||
\(369\) | −18.3372 | − | 26.4009i | −0.954597 | − | 1.37438i | ||||
\(370\) | −0.171822 | − | 0.261457i | −0.00893260 | − | 0.0135925i | ||||
\(371\) | 4.86671 | − | 6.69846i | 0.252667 | − | 0.347767i | ||||
\(372\) | 0.0411415 | − | 0.0553794i | 0.00213309 | − | 0.00287129i | ||||
\(373\) | −3.41888 | − | 6.70992i | −0.177023 | − | 0.347427i | 0.785397 | − | 0.618992i | \(-0.212459\pi\) |
−0.962420 | + | 0.271565i | \(0.912459\pi\) | |||||||
\(374\) | −0.937499 | −0.0484769 | ||||||||
\(375\) | −17.3041 | − | 8.69300i | −0.893580 | − | 0.448904i | ||||
\(376\) | 0.751596 | 0.0387606 | ||||||||
\(377\) | 1.71825 | + | 3.37226i | 0.0884945 | + | 0.173680i | ||||
\(378\) | 0.427442 | + | 0.331871i | 0.0219853 | + | 0.0170696i | ||||
\(379\) | −13.4955 | + | 18.5749i | −0.693216 | + | 0.954130i | 0.306781 | + | 0.951780i | \(0.400748\pi\) |
−0.999997 | + | 0.00234966i | \(0.999252\pi\) | |||||||
\(380\) | −7.97412 | − | 12.1340i | −0.409064 | − | 0.622461i | ||||
\(381\) | −5.96205 | − | 1.00934i | −0.305445 | − | 0.0517100i | ||||
\(382\) | 0.683782 | + | 0.683782i | 0.0349853 | + | 0.0349853i | ||||
\(383\) | 7.62404 | + | 1.20753i | 0.389570 | + | 0.0617019i | 0.348147 | − | 0.937440i | \(-0.386811\pi\) |
0.0414229 | + | 0.999142i | \(0.486811\pi\) | |||||||
\(384\) | −1.30806 | + | 2.50115i | −0.0667515 | + | 0.127636i | ||||
\(385\) | 6.80647 | − | 11.9387i | 0.346890 | − | 0.608453i | ||||
\(386\) | −0.539087 | − | 0.175160i | −0.0274388 | − | 0.00891542i | ||||
\(387\) | −14.6292 | − | 7.84986i | −0.743645 | − | 0.399031i | ||||
\(388\) | −9.54104 | − | 4.86140i | −0.484373 | − | 0.246800i | ||||
\(389\) | 5.38913 | − | 16.5860i | 0.273240 | − | 0.840945i | −0.716440 | − | 0.697649i | \(-0.754230\pi\) |
0.989680 | − | 0.143297i | \(-0.0457703\pi\) | |||||||
\(390\) | 0.619179 | + | 0.0356686i | 0.0313533 | + | 0.00180615i | ||||
\(391\) | 10.8182 | + | 33.2950i | 0.547099 | + | 1.68380i | ||||
\(392\) | 0.0908935 | − | 0.573879i | 0.00459082 | − | 0.0289853i | ||||
\(393\) | 0.143687 | − | 13.5239i | 0.00724806 | − | 0.682192i | ||||
\(394\) | −0.756459 | − | 1.04118i | −0.0381098 | − | 0.0524537i | ||||
\(395\) | 22.8248 | + | 1.07169i | 1.14844 | + | 0.0539227i | ||||
\(396\) | 14.3874 | + | 10.9276i | 0.722996 | + | 0.549131i | ||||
\(397\) | 1.62336 | + | 10.2495i | 0.0814741 | + | 0.514407i | 0.994348 | + | 0.106167i | \(0.0338577\pi\) |
−0.912874 | + | 0.408241i | \(0.866142\pi\) | |||||||
\(398\) | 0.733615 | − | 0.373795i | 0.0367728 | − | 0.0187367i | ||||
\(399\) | 8.20178 | − | 8.02933i | 0.410602 | − | 0.401969i | ||||
\(400\) | 19.8341 | + | 1.86665i | 0.991704 | + | 0.0933326i | ||||
\(401\) | 14.7017i | 0.734168i | 0.930188 | + | 0.367084i | \(0.119644\pi\) | ||||
−0.930188 | + | 0.367084i | \(0.880356\pi\) | |||||||
\(402\) | −0.0263130 | + | 0.0781483i | −0.00131238 | + | 0.00389768i | ||||
\(403\) | 0.0617331 | − | 0.00977756i | 0.00307514 | − | 0.000487055i | ||||
\(404\) | −19.7912 | − | 14.3792i | −0.984651 | − | 0.715391i | ||||
\(405\) | 18.5079 | + | 7.90310i | 0.919663 | + | 0.392708i | ||||
\(406\) | 0.101741 | − | 0.0739189i | 0.00504930 | − | 0.00366853i | ||||
\(407\) | 5.83850 | − | 5.83850i | 0.289404 | − | 0.289404i | ||||
\(408\) | 1.75502 | − | 1.24683i | 0.0868865 | − | 0.0617271i | ||||
\(409\) | 4.73536 | − | 1.53861i | 0.234148 | − | 0.0760794i | −0.189593 | − | 0.981863i | \(-0.560717\pi\) |
0.423741 | + | 0.905783i | \(0.360717\pi\) | |||||||
\(410\) | −0.247986 | + | 1.19872i | −0.0122472 | + | 0.0592006i | ||||
\(411\) | −7.63369 | − | 15.3838i | −0.376542 | − | 0.758829i | ||||
\(412\) | 15.2367 | − | 29.9037i | 0.750659 | − | 1.47325i | ||||
\(413\) | 3.99934 | − | 7.84915i | 0.196795 | − | 0.386231i | ||||
\(414\) | −0.290214 | + | 0.832565i | −0.0142632 | + | 0.0409183i | ||||
\(415\) | 2.02461 | + | 4.48157i | 0.0993844 | + | 0.219992i | ||||
\(416\) | −1.82440 | + | 0.592785i | −0.0894488 | + | 0.0290637i | ||||
\(417\) | −5.08099 | − | 7.15195i | −0.248817 | − | 0.350233i | ||||
\(418\) | −0.354112 | + | 0.354112i | −0.0173202 | + | 0.0173202i | ||||
\(419\) | −19.7469 | + | 14.3470i | −0.964699 | + | 0.700895i | −0.954237 | − | 0.299051i | \(-0.903330\pi\) |
−0.0104616 | + | 0.999945i | \(0.503330\pi\) | |||||||
\(420\) | 1.56698 | + | 15.6907i | 0.0764607 | + | 0.765626i | ||||
\(421\) | −2.27800 | − | 1.65506i | −0.111023 | − | 0.0806628i | 0.530889 | − | 0.847442i | \(-0.321858\pi\) |
−0.641911 | + | 0.766779i | \(0.721858\pi\) | |||||||
\(422\) | 0.802932 | − | 0.127172i | 0.0390861 | − | 0.00619063i | ||||
\(423\) | 4.80205 | + | 9.94124i | 0.233484 | + | 0.483360i | ||||
\(424\) | − | 0.829573i | − | 0.0402876i | ||||||
\(425\) | −25.6991 | − | 16.2943i | −1.24659 | − | 0.790392i | ||||
\(426\) | 0.609968 | + | 0.623068i | 0.0295530 | + | 0.0301877i | ||||
\(427\) | −23.4796 | + | 11.9635i | −1.13626 | + | 0.578953i | ||||
\(428\) | 1.57144 | + | 9.92171i | 0.0759586 | + | 0.479584i | ||||
\(429\) | 2.38864 | + | 16.1929i | 0.115325 | + | 0.781801i | ||||
\(430\) | 0.166955 | + | 0.609794i | 0.00805131 | + | 0.0294069i | ||||
\(431\) | 12.9674 | + | 17.8481i | 0.624617 | + | 0.859712i | 0.997679 | − | 0.0680947i | \(-0.0216920\pi\) |
−0.373062 | + | 0.927807i | \(0.621692\pi\) | |||||||
\(432\) | −20.6927 | − | 0.659759i | −0.995580 | − | 0.0317427i | ||||
\(433\) | −6.30865 | + | 39.8312i | −0.303174 | + | 1.91417i | 0.0923805 | + | 0.995724i | \(0.470552\pi\) |
−0.395555 | + | 0.918442i | \(0.629448\pi\) | |||||||
\(434\) | −0.000641766 | − | 0.00197515i | −3.08058e−5 | − | 9.48104e-5i | ||||
\(435\) | 2.96198 | − | 3.61922i | 0.142016 | − | 0.173529i | ||||
\(436\) | 6.35954 | − | 19.5726i | 0.304567 | − | 0.937360i | ||||
\(437\) | 16.6624 | + | 8.48993i | 0.797072 | + | 0.406129i | ||||
\(438\) | 0.00330304 | − | 0.00103456i | 0.000157825 | − | 4.94330e-5i | ||||
\(439\) | 12.3771 | + | 4.02156i | 0.590727 | + | 0.191939i | 0.589100 | − | 0.808060i | \(-0.299482\pi\) |
0.00162635 | + | 0.999999i | \(0.499482\pi\) | |||||||
\(440\) | −0.151376 | − | 1.36857i | −0.00721659 | − | 0.0652442i | ||||
\(441\) | 8.17133 | − | 2.46436i | 0.389111 | − | 0.117350i | ||||
\(442\) | 0.962572 | + | 0.152456i | 0.0457849 | + | 0.00725162i | ||||
\(443\) | 20.7027 | + | 20.7027i | 0.983613 | + | 0.983613i | 0.999868 | − | 0.0162549i | \(-0.00517433\pi\) |
−0.0162549 | + | 0.999868i | \(0.505174\pi\) | |||||||
\(444\) | −1.58142 | + | 9.34127i | −0.0750509 | + | 0.443317i | ||||
\(445\) | −29.1798 | + | 7.98914i | −1.38326 | + | 0.378722i | ||||
\(446\) | 0.653662 | − | 0.899688i | 0.0309518 | − | 0.0426015i | ||||
\(447\) | −2.89991 | − | 2.15435i | −0.137161 | − | 0.101897i | ||||
\(448\) | −7.34538 | − | 14.4161i | −0.347037 | − | 0.681097i | ||||
\(449\) | 27.3773 | 1.29201 | 0.646007 | − | 0.763332i | \(-0.276438\pi\) | ||||
0.646007 | + | 0.763332i | \(0.276438\pi\) | |||||||
\(450\) | −0.267213 | − | 0.718280i | −0.0125965 | − | 0.0338600i | ||||
\(451\) | −32.3059 | −1.52123 | ||||||||
\(452\) | 7.93497 | + | 15.5733i | 0.373230 | + | 0.732504i | ||||
\(453\) | −4.35403 | − | 3.23462i | −0.204570 | − | 0.151976i | ||||
\(454\) | 0.644245 | − | 0.886727i | 0.0302359 | − | 0.0416162i | ||||
\(455\) | −8.92999 | + | 11.1511i | −0.418644 | + | 0.522774i | ||||
\(456\) | 0.191956 | − | 1.13386i | 0.00898914 | − | 0.0530978i | ||||
\(457\) | −9.58199 | − | 9.58199i | −0.448227 | − | 0.448227i | 0.446538 | − | 0.894765i | \(-0.352657\pi\) |
−0.894765 | + | 0.446538i | \(0.852657\pi\) | |||||||
\(458\) | −0.583121 | − | 0.0923573i | −0.0272475 | − | 0.00431557i | ||||
\(459\) | 27.7046 | + | 15.2472i | 1.29314 | + | 0.711680i | ||||
\(460\) | −23.4135 | + | 10.5774i | −1.09166 | + | 0.493174i | ||||
\(461\) | −27.6032 | − | 8.96881i | −1.28561 | − | 0.417719i | −0.415056 | − | 0.909796i | \(-0.636238\pi\) |
−0.870552 | + | 0.492077i | \(0.836238\pi\) | |||||||
\(462\) | 0.519008 | − | 0.162561i | 0.0241464 | − | 0.00756300i | ||||
\(463\) | 6.38255 | + | 3.25207i | 0.296622 | + | 0.151137i | 0.595968 | − | 0.803008i | \(-0.296768\pi\) |
−0.299346 | + | 0.954145i | \(0.596768\pi\) | |||||||
\(464\) | −1.48675 | + | 4.57576i | −0.0690208 | + | 0.212424i | ||||
\(465\) | −0.0417278 | − | 0.0649902i | −0.00193508 | − | 0.00301385i | ||||
\(466\) | −0.230765 | − | 0.710222i | −0.0106900 | − | 0.0329004i | ||||
\(467\) | −1.33507 | + | 8.42928i | −0.0617795 | + | 0.390061i | 0.937352 | + | 0.348385i | \(0.113270\pi\) |
−0.999131 | + | 0.0416760i | \(0.986730\pi\) | |||||||
\(468\) | −12.9952 | − | 13.5595i | −0.600703 | − | 0.626789i | ||||
\(469\) | −1.11644 | − | 1.53665i | −0.0515525 | − | 0.0709560i | ||||
\(470\) | 0.148530 | − | 0.393319i | 0.00685120 | − | 0.0181424i | ||||
\(471\) | −1.62939 | − | 11.0458i | −0.0750783 | − | 0.508965i | ||||
\(472\) | −0.138074 | − | 0.871764i | −0.00635537 | − | 0.0401262i | ||||
\(473\) | −14.8670 | + | 7.57513i | −0.683587 | + | 0.348305i | ||||
\(474\) | 0.632604 | + | 0.646191i | 0.0290565 | + | 0.0296805i | ||||
\(475\) | −15.8618 | + | 3.55237i | −0.727788 | + | 0.162994i | ||||
\(476\) | 24.7785i | 1.13572i | ||||||||
\(477\) | 10.9726 | − | 5.30025i | 0.502402 | − | 0.242682i | ||||
\(478\) | −0.204399 | + | 0.0323735i | −0.00934897 | + | 0.00148073i | ||||
\(479\) | 11.8446 | + | 8.60560i | 0.541193 | + | 0.393200i | 0.824528 | − | 0.565821i | \(-0.191441\pi\) |
−0.283335 | + | 0.959021i | \(0.591441\pi\) | |||||||
\(480\) | 1.57695 | + | 1.76974i | 0.0719776 | + | 0.0807772i | ||||
\(481\) | −6.94411 | + | 5.04519i | −0.316624 | + | 0.230041i | ||||
\(482\) | 0.0715186 | − | 0.0715186i | 0.00325758 | − | 0.00325758i | ||||
\(483\) | −11.7623 | − | 16.5566i | −0.535205 | − | 0.753349i | ||||
\(484\) | −3.62702 | + | 1.17849i | −0.164865 | + | 0.0535677i | ||||
\(485\) | −8.86484 | + | 8.06971i | −0.402532 | + | 0.366427i | ||||
\(486\) | 0.323387 | + | 0.727829i | 0.0146691 | + | 0.0330150i | ||||
\(487\) | −5.68806 | + | 11.1635i | −0.257751 | + | 0.505864i | −0.983228 | − | 0.182382i | \(-0.941619\pi\) |
0.725477 | + | 0.688246i | \(0.241619\pi\) | |||||||
\(488\) | −1.19866 | + | 2.35250i | −0.0542606 | + | 0.106492i | ||||
\(489\) | 14.0763 | + | 28.3673i | 0.636550 | + | 1.28281i | ||||
\(490\) | −0.282355 | − | 0.160976i | −0.0127555 | − | 0.00727213i | ||||
\(491\) | 34.7580 | − | 11.2936i | 1.56861 | − | 0.509672i | 0.609518 | − | 0.792772i | \(-0.291363\pi\) |
0.959090 | + | 0.283101i | \(0.0913631\pi\) | |||||||
\(492\) | 30.2190 | − | 21.4686i | 1.36238 | − | 0.967880i | ||||
\(493\) | 5.19647 | − | 5.19647i | 0.234037 | − | 0.234037i | ||||
\(494\) | 0.421169 | − | 0.305997i | 0.0189493 | − | 0.0137675i | ||||
\(495\) | 17.1347 | − | 10.7462i | 0.770149 | − | 0.483007i | ||||
\(496\) | 0.0642794 | + | 0.0467017i | 0.00288623 | + | 0.00209697i | ||||
\(497\) | −19.8373 | + | 3.14193i | −0.889826 | + | 0.140935i | ||||
\(498\) | −0.0621035 | + | 0.184444i | −0.00278293 | + | 0.00826513i | ||||
\(499\) | 8.39246i | 0.375698i | 0.982198 | + | 0.187849i | \(0.0601515\pi\) | ||||
−0.982198 | + | 0.187849i | \(0.939848\pi\) | |||||||
\(500\) | 9.81214 | − | 20.0603i | 0.438812 | − | 0.897126i | ||||
\(501\) | 1.56446 | − | 1.53156i | 0.0698948 | − | 0.0684251i | ||||
\(502\) | −1.23061 | + | 0.627027i | −0.0549248 | + | 0.0279856i | ||||
\(503\) | −5.88019 | − | 37.1261i | −0.262185 | − | 1.65537i | −0.670042 | − | 0.742323i | \(-0.733724\pi\) |
0.407857 | − | 0.913046i | \(-0.366276\pi\) | |||||||
\(504\) | −0.755399 | + | 0.994573i | −0.0336482 | + | 0.0443018i | ||||
\(505\) | −22.8868 | + | 15.0405i | −1.01845 | + | 0.669296i | ||||
\(506\) | 0.520852 | + | 0.716891i | 0.0231547 | + | 0.0318697i | ||||
\(507\) | −0.0584458 | + | 5.50096i | −0.00259567 | + | 0.244306i | ||||
\(508\) | 1.09085 | − | 6.88738i | 0.0483988 | − | 0.305578i | ||||
\(509\) | −4.05260 | − | 12.4726i | −0.179628 | − | 0.552839i | 0.820186 | − | 0.572096i | \(-0.193870\pi\) |
−0.999815 | + | 0.0192578i | \(0.993870\pi\) | |||||||
\(510\) | −0.305651 | − | 1.16482i | −0.0135345 | − | 0.0515791i | ||||
\(511\) | −0.0246374 | + | 0.0758262i | −0.00108990 | + | 0.00335436i | ||||
\(512\) | −3.62285 | − | 1.84593i | −0.160109 | − | 0.0815794i | ||||
\(513\) | 16.2238 | − | 4.70541i | 0.716298 | − | 0.207749i | ||||
\(514\) | 0.605569 | + | 0.196761i | 0.0267105 | + | 0.00867877i | ||||
\(515\) | −25.2923 | − | 27.7844i | −1.11451 | − | 1.22433i | ||||
\(516\) | 8.87266 | − | 16.9655i | 0.390597 | − | 0.746867i | ||||
\(517\) | 10.9592 | + | 1.73576i | 0.481983 | + | 0.0763386i | ||||
\(518\) | 0.201670 | + | 0.201670i | 0.00886086 | + | 0.00886086i | ||||
\(519\) | 3.53855 | + | 0.599055i | 0.155325 | + | 0.0262956i | ||||
\(520\) | −0.0671330 | + | 1.42979i | −0.00294398 | + | 0.0627006i | ||||
\(521\) | −10.1668 | + | 13.9934i | −0.445415 | + | 0.613061i | −0.971405 | − | 0.237430i | \(-0.923695\pi\) |
0.525990 | + | 0.850491i | \(0.323695\pi\) | |||||||
\(522\) | 0.183380 | − | 0.0250630i | 0.00802631 | − | 0.00109698i | ||||
\(523\) | −5.13521 | − | 10.0784i | −0.224547 | − | 0.440698i | 0.751057 | − | 0.660238i | \(-0.229545\pi\) |
−0.975604 | + | 0.219540i | \(0.929545\pi\) | |||||||
\(524\) | 15.5966 | 0.681340 | ||||||||
\(525\) | 17.0527 | + | 4.56453i | 0.744240 | + | 0.199212i | ||||
\(526\) | −0.184160 | −0.00802976 | ||||||||
\(527\) | −0.0550970 | − | 0.108134i | −0.00240006 | − | 0.00471039i | ||||
\(528\) | −12.4084 | + | 16.7026i | −0.540005 | + | 0.726886i | ||||
\(529\) | 5.93077 | − | 8.16301i | 0.257860 | − | 0.354913i | ||||
\(530\) | −0.434125 | − | 0.163940i | −0.0188572 | − | 0.00712111i | ||||
\(531\) | 10.6485 | − | 7.39610i | 0.462106 | − | 0.320963i | ||||
\(532\) | 9.35933 | + | 9.35933i | 0.405778 | + | 0.405778i | ||||
\(533\) | 33.1699 | + | 5.25360i | 1.43675 | + | 0.227559i | ||||
\(534\) | −1.06097 | − | 0.554867i | −0.0459126 | − | 0.0240114i | ||||
\(535\) | 11.0126 | + | 2.27823i | 0.476115 | + | 0.0984967i | ||||
\(536\) | −0.180993 | − | 0.0588082i | −0.00781770 | − | 0.00254013i | ||||
\(537\) | −2.62771 | − | 8.38949i | −0.113394 | − | 0.362033i | ||||
\(538\) | 0.617789 | + | 0.314779i | 0.0266348 | + | 0.0135711i | ||||
\(539\) | 2.65067 | − | 8.15791i | 0.114172 | − | 0.351386i | ||||
\(540\) | −8.88654 | + | 21.4388i | −0.382416 | + | 0.922578i | ||||
\(541\) | −9.85115 | − | 30.3187i | −0.423534 | − | 1.30350i | −0.904391 | − | 0.426705i | \(-0.859674\pi\) |
0.480857 | − | 0.876799i | \(-0.340326\pi\) | |||||||
\(542\) | −0.0658705 | + | 0.415890i | −0.00282938 | + | 0.0178640i | ||||
\(543\) | −1.81196 | − | 0.0192515i | −0.0777586 | − | 0.000826159i | ||||
\(544\) | 2.18936 | + | 3.01339i | 0.0938679 | + | 0.129198i | ||||
\(545\) | −17.9834 | − | 14.4013i | −0.770323 | − | 0.616885i | ||||
\(546\) | −0.559325 | + | 0.0825069i | −0.0239369 | + | 0.00353097i | ||||
\(547\) | 2.95981 | + | 18.6875i | 0.126552 | + | 0.799020i | 0.966559 | + | 0.256444i | \(0.0825510\pi\) |
−0.840007 | + | 0.542576i | \(0.817449\pi\) | |||||||
\(548\) | 17.6460 | − | 8.99110i | 0.753801 | − | 0.384081i | ||||
\(549\) | −38.7744 | − | 0.824023i | −1.65485 | − | 0.0351685i | ||||
\(550\) | −0.746105 | − | 0.191240i | −0.0318140 | − | 0.00815452i | ||||
\(551\) | − | 3.92562i | − | 0.167237i | ||||||
\(552\) | −1.92848 | − | 0.649332i | −0.0820815 | − | 0.0276374i | ||||
\(553\) | −20.5735 | + | 3.25853i | −0.874876 | + | 0.138567i | ||||
\(554\) | 0.798260 | + | 0.579970i | 0.0339148 | + | 0.0246406i | ||||
\(555\) | 9.15772 | + | 5.35069i | 0.388724 | + | 0.227124i | ||||
\(556\) | 8.18487 | − | 5.94666i | 0.347116 | − | 0.252194i | ||||
\(557\) | −27.8152 | + | 27.8152i | −1.17857 | + | 1.17857i | −0.198459 | + | 0.980109i | \(0.563594\pi\) |
−0.980109 | + | 0.198459i | \(0.936406\pi\) | |||||||
\(558\) | 0.000542180 | − | 0.00300805i | 2.29523e−5 | − | 0.000127341i | ||||
\(559\) | 16.4965 | − | 5.36005i | 0.697729 | − | 0.226706i | ||||
\(560\) | −18.0505 | + | 1.99655i | −0.762773 | + | 0.0843695i | ||||
\(561\) | 28.4697 | − | 14.1271i | 1.20199 | − | 0.596446i | ||||
\(562\) | 0.240764 | − | 0.472526i | 0.0101560 | − | 0.0199323i | ||||
\(563\) | 18.6793 | − | 36.6601i | 0.787237 | − | 1.54504i | −0.0503464 | − | 0.998732i | \(-0.516033\pi\) |
0.837584 | − | 0.546309i | \(-0.183967\pi\) | |||||||
\(564\) | −11.4047 | + | 5.65917i | −0.480224 | + | 0.238294i | ||||
\(565\) | 19.4482 | − | 2.15115i | 0.818193 | − | 0.0904995i | ||||
\(566\) | −0.468474 | + | 0.152216i | −0.0196914 | + | 0.00639813i | ||||
\(567\) | −17.9814 | − | 3.63708i | −0.755148 | − | 0.152743i | ||||
\(568\) | −1.42294 | + | 1.42294i | −0.0597052 | + | 0.0597052i | ||||
\(569\) | 7.49851 | − | 5.44798i | 0.314354 | − | 0.228391i | −0.419409 | − | 0.907798i | \(-0.637763\pi\) |
0.733762 | + | 0.679406i | \(0.237763\pi\) | |||||||
\(570\) | −0.555427 | − | 0.324526i | −0.0232643 | − | 0.0135929i | ||||
\(571\) | 6.86662 | + | 4.98889i | 0.287359 | + | 0.208779i | 0.722121 | − | 0.691767i | \(-0.243167\pi\) |
−0.434762 | + | 0.900545i | \(0.643167\pi\) | |||||||
\(572\) | −18.6432 | + | 2.95280i | −0.779513 | + | 0.123463i | ||||
\(573\) | −31.0688 | − | 10.4611i | −1.29792 | − | 0.437017i | ||||
\(574\) | − | 1.11589i | − | 0.0465763i | ||||||
\(575\) | 1.81777 | + | 28.7045i | 0.0758063 | + | 1.19706i | ||||
\(576\) | 0.505937 | − | 23.8069i | 0.0210807 | − | 0.991953i | ||||
\(577\) | 23.4083 | − | 11.9271i | 0.974498 | − | 0.496532i | 0.107155 | − | 0.994242i | \(-0.465826\pi\) |
0.867343 | + | 0.497711i | \(0.165826\pi\) | |||||||
\(578\) | −0.160153 | − | 1.01117i | −0.00666150 | − | 0.0420590i | ||||
\(579\) | 19.0103 | − | 2.80425i | 0.790043 | − | 0.116540i | ||||
\(580\) | 4.20972 | + | 3.37120i | 0.174799 | + | 0.139982i | ||||
\(581\) | −2.63501 | − | 3.62677i | −0.109318 | − | 0.150464i | ||||
\(582\) | −0.474392 | − | 0.00504025i | −0.0196642 | − | 0.000208925i | ||||
\(583\) | 1.91584 | − | 12.0961i | 0.0793460 | − | 0.500971i | ||||
\(584\) | 0.00246850 | + | 0.00759726i | 0.000102147 | + | 0.000314377i | ||||
\(585\) | −19.3406 | + | 8.24718i | −0.799633 | + | 0.340979i | ||||
\(586\) | 0.172952 | − | 0.532293i | 0.00714460 | − | 0.0219888i | ||||
\(587\) | 29.1195 | + | 14.8371i | 1.20189 | + | 0.612395i | 0.936133 | − | 0.351645i | \(-0.114378\pi\) |
0.265759 | + | 0.964040i | \(0.414378\pi\) | |||||||
\(588\) | 2.94183 | + | 9.39240i | 0.121319 | + | 0.387336i | ||||
\(589\) | −0.0616556 | − | 0.0200331i | −0.00254047 | − | 0.000825450i | ||||
\(590\) | −0.483490 | − | 0.100022i | −0.0199050 | − | 0.00411786i | ||||
\(591\) | 38.6613 | + | 20.2192i | 1.59032 | + | 0.831705i | ||||
\(592\) | −10.7769 | − | 1.70690i | −0.442929 | − | 0.0701531i | ||||
\(593\) | −4.77949 | − | 4.77949i | −0.196270 | − | 0.196270i | 0.602129 | − | 0.798399i | \(-0.294319\pi\) |
−0.798399 | + | 0.602129i | \(0.794319\pi\) | |||||||
\(594\) | 0.786194 | + | 0.150347i | 0.0322579 | + | 0.00616880i | ||||
\(595\) | 25.9507 | + | 9.79984i | 1.06387 | + | 0.401754i | ||||
\(596\) | 2.44871 | − | 3.37036i | 0.100303 | − | 0.138055i | ||||
\(597\) | −16.6455 | + | 22.4061i | −0.681256 | + | 0.917021i | ||||
\(598\) | −0.418201 | − | 0.820766i | −0.0171015 | − | 0.0335636i | ||||
\(599\) | −26.7065 | −1.09120 | −0.545598 | − | 0.838047i | \(-0.683697\pi\) | ||||
−0.545598 | + | 0.838047i | \(0.683697\pi\) | |||||||
\(600\) | 1.65107 | − | 0.634275i | 0.0674046 | − | 0.0258942i | ||||
\(601\) | 12.6263 | 0.515039 | 0.257520 | − | 0.966273i | \(-0.417095\pi\) | ||||
0.257520 | + | 0.966273i | \(0.417095\pi\) | |||||||
\(602\) | −0.261655 | − | 0.513527i | −0.0106643 | − | 0.0209298i | ||||
\(603\) | −0.378542 | − | 2.76970i | −0.0154154 | − | 0.112791i | ||||
\(604\) | 3.67658 | − | 5.06038i | 0.149598 | − | 0.205904i | ||||
\(605\) | −0.200240 | + | 4.26469i | −0.00814090 | + | 0.173384i | ||||
\(606\) | −1.06863 | − | 0.180912i | −0.0434100 | − | 0.00734905i | ||||
\(607\) | 27.3885 | + | 27.3885i | 1.11167 | + | 1.11167i | 0.992925 | + | 0.118742i | \(0.0378861\pi\) |
0.118742 | + | 0.992925i | \(0.462114\pi\) | |||||||
\(608\) | 1.96518 | + | 0.311254i | 0.0796987 | + | 0.0126230i | ||||
\(609\) | −1.97576 | + | 3.77787i | −0.0800617 | + | 0.153087i | ||||
\(610\) | 0.994209 | + | 1.09217i | 0.0402543 | + | 0.0442207i | ||||
\(611\) | −10.9700 | − | 3.56436i | −0.443798 | − | 0.144199i | ||||
\(612\) | −17.2426 | + | 32.1338i | −0.696991 | + | 1.29893i | ||||
\(613\) | −30.2547 | − | 15.4155i | −1.22198 | − | 0.622628i | −0.280547 | − | 0.959840i | \(-0.590516\pi\) |
−0.941429 | + | 0.337212i | \(0.890516\pi\) | |||||||
\(614\) | 0.398410 | − | 1.22618i | 0.0160785 | − | 0.0494846i | ||||
\(615\) | −10.5326 | − | 40.1394i | −0.424717 | − | 1.61857i | ||||
\(616\) | 0.387877 | + | 1.19376i | 0.0156280 | + | 0.0480981i | ||||
\(617\) | 2.87470 | − | 18.1501i | 0.115731 | − | 0.730697i | −0.859767 | − | 0.510687i | \(-0.829391\pi\) |
0.975498 | − | 0.220010i | \(-0.0706090\pi\) | |||||||
\(618\) | 0.0157973 | − | 1.48685i | 0.000635459 | − | 0.0598099i | ||||
\(619\) | 1.95042 | + | 2.68452i | 0.0783938 | + | 0.107900i | 0.846413 | − | 0.532527i | \(-0.178757\pi\) |
−0.768019 | + | 0.640427i | \(0.778757\pi\) | |||||||
\(620\) | 0.0744308 | − | 0.0489138i | 0.00298921 | − | 0.00196442i | ||||
\(621\) | −3.73270 | − | 29.6563i | −0.149788 | − | 1.19007i | ||||
\(622\) | −0.0379583 | − | 0.239659i | −0.00152199 | − | 0.00960946i | ||||
\(623\) | 24.5733 | − | 12.5207i | 0.984507 | − | 0.501631i | ||||
\(624\) | 15.4564 | − | 15.1314i | 0.618752 | − | 0.605742i | ||||
\(625\) | −17.1286 | − | 18.2101i | −0.685146 | − | 0.728406i | ||||
\(626\) | 1.37971i | 0.0551443i | ||||||||
\(627\) | 5.41750 | − | 16.0897i | 0.216354 | − | 0.642560i | ||||
\(628\) | 12.7173 | − | 2.01422i | 0.507476 | − | 0.0803763i | ||||
\(629\) | 13.4834 | + | 9.79627i | 0.537619 | + | 0.390603i | ||||
\(630\) | 0.371189 | + | 0.591856i | 0.0147885 | + | 0.0235801i | ||||
\(631\) | 16.0880 | − | 11.6886i | 0.640454 | − | 0.465317i | −0.219552 | − | 0.975601i | \(-0.570460\pi\) |
0.860006 | + | 0.510284i | \(0.170460\pi\) | |||||||
\(632\) | −1.47575 | + | 1.47575i | −0.0587020 | + | 0.0587020i | ||||
\(633\) | −22.4669 | + | 15.9612i | −0.892979 | + | 0.634402i | ||||
\(634\) | −0.188444 | + | 0.0612291i | −0.00748405 | + | 0.00243172i | ||||
\(635\) | −6.78176 | − | 3.86640i | −0.269126 | − | 0.153433i | ||||
\(636\) | 6.24630 | + | 12.5879i | 0.247682 | + | 0.499143i | ||||
\(637\) | −4.04820 | + | 7.94505i | −0.160396 | + | 0.314794i | ||||
\(638\) | 0.0844488 | − | 0.165740i | 0.00334336 | − | 0.00656171i | ||||
\(639\) | −27.9123 | − | 9.72963i | −1.10419 | − | 0.384898i | ||||
\(640\) | −2.69463 | + | 2.45294i | −0.106515 | + | 0.0969610i | ||||
\(641\) | −39.9060 | + | 12.9663i | −1.57619 | + | 0.512136i | −0.961072 | − | 0.276296i | \(-0.910893\pi\) |
−0.615121 | + | 0.788433i | \(0.710893\pi\) | |||||||
\(642\) | 0.257757 | + | 0.362816i | 0.0101728 | + | 0.0143192i | ||||
\(643\) | −18.4566 | + | 18.4566i | −0.727857 | + | 0.727857i | −0.970193 | − | 0.242335i | \(-0.922087\pi\) |
0.242335 | + | 0.970193i | \(0.422087\pi\) | |||||||
\(644\) | 18.9477 | − | 13.7663i | 0.746645 | − | 0.542469i | ||||
\(645\) | −14.2590 | − | 16.0022i | −0.561448 | − | 0.630088i | ||||
\(646\) | −0.817785 | − | 0.594156i | −0.0321753 | − | 0.0233768i | ||||
\(647\) | −0.715984 | + | 0.113401i | −0.0281482 | + | 0.00445824i | −0.170493 | − | 0.985359i | \(-0.554536\pi\) |
0.142344 | + | 0.989817i | \(0.454536\pi\) | |||||||
\(648\) | −1.67173 | + | 0.764146i | −0.0656717 | + | 0.0300185i | ||||
\(649\) | − | 13.0302i | − | 0.511481i | ||||||
\(650\) | 0.734960 | + | 0.317687i | 0.0288275 | + | 0.0124607i | ||||
\(651\) | 0.0492524 | + | 0.0503102i | 0.00193035 | + | 0.00197181i | ||||
\(652\) | −32.5386 | + | 16.5793i | −1.27431 | + | 0.649294i | ||||
\(653\) | 3.58799 | + | 22.6537i | 0.140409 | + | 0.886507i | 0.952845 | + | 0.303457i | \(0.0981408\pi\) |
−0.812436 | + | 0.583050i | \(0.801859\pi\) | |||||||
\(654\) | −0.133058 | − | 0.902019i | −0.00520299 | − | 0.0352717i | ||||
\(655\) | 6.16843 | − | 16.3344i | 0.241020 | − | 0.638238i | ||||
\(656\) | 25.0934 | + | 34.5381i | 0.979733 | + | 1.34849i | ||||
\(657\) | −0.0847161 | + | 0.0811904i | −0.00330509 | + | 0.00316754i | ||||
\(658\) | −0.0599554 | + | 0.378544i | −0.00233731 | + | 0.0147572i | ||||
\(659\) | 6.79306 | + | 20.9069i | 0.264620 | + | 0.814416i | 0.991781 | + | 0.127949i | \(0.0408395\pi\) |
−0.727161 | + | 0.686467i | \(0.759161\pi\) | |||||||
\(660\) | 12.6017 | + | 19.6269i | 0.490521 | + | 0.763975i | ||||
\(661\) | −3.85456 | + | 11.8631i | −0.149925 | + | 0.461421i | −0.997611 | − | 0.0690762i | \(-0.977995\pi\) |
0.847687 | + | 0.530497i | \(0.177995\pi\) | |||||||
\(662\) | 0.792210 | + | 0.403651i | 0.0307901 | + | 0.0156884i | ||||
\(663\) | −31.5285 | + | 9.87516i | −1.22447 | + | 0.383520i | ||||
\(664\) | −0.427176 | − | 0.138798i | −0.0165776 | − | 0.00538640i | ||||
\(665\) | 13.5037 | − | 6.10049i | 0.523650 | − | 0.236567i | ||||
\(666\) | 0.121198 | + | 0.401870i | 0.00469633 | + | 0.0155721i | ||||
\(667\) | −6.86070 | − | 1.08663i | −0.265647 | − | 0.0420744i | ||||
\(668\) | 1.78525 | + | 1.78525i | 0.0690736 | + | 0.0690736i | ||||
\(669\) | −6.29291 | + | 37.1715i | −0.243298 | + | 1.43713i | ||||
\(670\) | −0.0665428 | + | 0.0830939i | −0.00257077 | + | 0.00321020i | ||||
\(671\) | −22.9107 | + | 31.5339i | −0.884459 | + | 1.21735i | ||||
\(672\) | −1.73456 | − | 1.28861i | −0.0669123 | − | 0.0497093i | ||||
\(673\) | 5.83674 | + | 11.4552i | 0.224990 | + | 0.441567i | 0.975714 | − | 0.219048i | \(-0.0702953\pi\) |
−0.750724 | + | 0.660616i | \(0.770295\pi\) | |||||||
\(674\) | −0.713172 | −0.0274704 | ||||||||
\(675\) | 18.9383 | + | 17.7859i | 0.728937 | + | 0.684581i | ||||
\(676\) | −6.34403 | −0.244001 | ||||||||
\(677\) | 13.0973 | + | 25.7050i | 0.503371 | + | 0.987922i | 0.993235 | + | 0.116123i | \(0.0370466\pi\) |
−0.489863 | + | 0.871799i | \(0.662953\pi\) | |||||||
\(678\) | 0.621603 | + | 0.461790i | 0.0238725 | + | 0.0177349i | ||||
\(679\) | 6.42331 | − | 8.84092i | 0.246504 | − | 0.339283i | ||||
\(680\) | 2.68064 | − | 0.733931i | 0.102798 | − | 0.0281450i | ||||
\(681\) | −6.20225 | + | 36.6360i | −0.237671 | + | 1.40389i | ||||
\(682\) | −0.00217215 | − | 0.00217215i | −8.31758e−5 | − | 8.31758e-5i | ||||
\(683\) | −20.5763 | − | 3.25897i | −0.787331 | − | 0.124701i | −0.250194 | − | 0.968196i | \(-0.580494\pi\) |
−0.537137 | + | 0.843495i | \(0.680494\pi\) | |||||||
\(684\) | 5.62471 | + | 18.6505i | 0.215066 | + | 0.713119i | ||||
\(685\) | −2.43746 | − | 22.0368i | −0.0931307 | − | 0.841981i | ||||
\(686\) | 0.975118 | + | 0.316835i | 0.0372302 | + | 0.0120968i | ||||
\(687\) | 19.0998 | − | 5.98232i | 0.728703 | − | 0.228240i | ||||
\(688\) | 19.6464 | + | 10.0103i | 0.749013 | + | 0.381641i | ||||
\(689\) | −3.93416 | + | 12.1081i | −0.149880 | + | 0.461282i | ||||
\(690\) | −0.720908 | + | 0.880873i | −0.0274445 | + | 0.0335343i | ||||
\(691\) | −3.21593 | − | 9.89763i | −0.122340 | − | 0.376524i | 0.871067 | − | 0.491164i | \(-0.163428\pi\) |
−0.993407 | + | 0.114640i | \(0.963428\pi\) | |||||||
\(692\) | −0.647434 | + | 4.08774i | −0.0246117 | + | 0.155392i | ||||
\(693\) | −13.3115 | + | 12.7575i | −0.505662 | + | 0.484617i | ||||
\(694\) | 0.487079 | + | 0.670407i | 0.0184893 | + | 0.0254483i | ||||
\(695\) | −2.99087 | − | 10.9240i | −0.113450 | − | 0.414369i | ||||
\(696\) | 0.0623358 | + | 0.422583i | 0.00236283 | + | 0.0160179i | ||||
\(697\) | −10.2009 | − | 64.4062i | −0.386388 | − | 2.43956i | ||||
\(698\) | 0.149053 | − | 0.0759465i | 0.00564175 | − | 0.00287462i | ||||
\(699\) | 17.7101 | + | 18.0905i | 0.669857 | + | 0.684244i | ||||
\(700\) | −5.05456 | + | 19.7198i | −0.191044 | + | 0.745340i | ||||
\(701\) | − | 29.3464i | − | 1.10840i | −0.832384 | − | 0.554199i | \(-0.813025\pi\) | ||
0.832384 | − | 0.554199i | \(-0.186975\pi\) | |||||||
\(702\) | −0.782771 | − | 0.282219i | −0.0295438 | − | 0.0106517i | ||||
\(703\) | 8.79321 | − | 1.39271i | 0.331642 | − | 0.0525270i | ||||
\(704\) | −19.3613 | − | 14.0668i | −0.729707 | − | 0.530163i | ||||
\(705\) | 1.41635 | + | 14.1824i | 0.0533429 | + | 0.534140i | ||||
\(706\) | −1.20884 | + | 0.878275i | −0.0454953 | + | 0.0330543i | ||||
\(707\) | 17.6533 | − | 17.6533i | 0.663920 | − | 0.663920i | ||||
\(708\) | 8.65911 | + | 12.1885i | 0.325429 | + | 0.458071i | ||||
\(709\) | −18.4297 | + | 5.98817i | −0.692141 | + | 0.224890i | −0.633903 | − | 0.773412i | \(-0.718548\pi\) |
−0.0582380 | + | 0.998303i | \(0.518548\pi\) | |||||||
\(710\) | 0.463438 | + | 1.02584i | 0.0173925 | + | 0.0384991i | ||||
\(711\) | −28.9482 | − | 10.0907i | −1.08564 | − | 0.378431i | ||||
\(712\) | 1.25449 | − | 2.46207i | 0.0470139 | − | 0.0922700i | ||||
\(713\) | −0.0520778 | + | 0.102208i | −0.00195033 | + | 0.00382774i | ||||
\(714\) | 0.487969 | + | 0.983383i | 0.0182618 | + | 0.0368022i | ||||
\(715\) | −4.28088 | + | 20.6930i | −0.160096 | + | 0.773875i | ||||
\(716\) | 9.64197 | − | 3.13287i | 0.360337 | − | 0.117081i | ||||
\(717\) | 5.71929 | − | 4.06318i | 0.213591 | − | 0.151742i | ||||
\(718\) | 0.999546 | − | 0.999546i | 0.0373027 | − | 0.0373027i | ||||
\(719\) | 23.3742 | − | 16.9824i | 0.871712 | − | 0.633336i | −0.0593341 | − | 0.998238i | \(-0.518898\pi\) |
0.931046 | + | 0.364903i | \(0.118898\pi\) | |||||||
\(720\) | −24.7980 | − | 9.97160i | −0.924168 | − | 0.371620i | ||||
\(721\) | 27.7094 | + | 20.1321i | 1.03195 | + | 0.749758i | ||||
\(722\) | 0.425469 | − | 0.0673877i | 0.0158343 | − | 0.00250791i | ||||
\(723\) | −1.09415 | + | 3.24957i | −0.0406919 | + | 0.120853i | ||||
\(724\) | − | 2.08966i | − | 0.0776615i | ||||||
\(725\) | 5.19562 | − | 3.07556i | 0.192960 | − | 0.114223i | ||||
\(726\) | −0.120737 | + | 0.118199i | −0.00448097 | + | 0.00438676i | ||||
\(727\) | 23.3536 | − | 11.8992i | 0.866136 | − | 0.441318i | 0.0363101 | − | 0.999341i | \(-0.488440\pi\) |
0.829826 | + | 0.558022i | \(0.188440\pi\) | |||||||
\(728\) | −0.204121 | − | 1.28877i | −0.00756521 | − | 0.0477649i | ||||
\(729\) | −20.7881 | − | 17.2294i | −0.769931 | − | 0.638128i | ||||
\(730\) | 0.00446356 | 0.000209577i | 0.000165204 | 7.75680e-6i | ||||||
\(731\) | −19.7965 | − | 27.2475i | −0.732199 | − | 1.00779i | ||||
\(732\) | 0.475156 | − | 44.7220i | 0.0175623 | − | 1.65297i | ||||
\(733\) | 6.31509 | − | 39.8719i | 0.233253 | − | 1.47270i | −0.541640 | − | 0.840610i | \(-0.682196\pi\) |
0.774893 | − | 0.632092i | \(-0.217804\pi\) | |||||||
\(734\) | 0.0867856 | + | 0.267099i | 0.00320332 | + | 0.00985879i | ||||
\(735\) | 11.0002 | + | 0.633682i | 0.405749 | + | 0.0233737i | ||||
\(736\) | 1.08794 | − | 3.34834i | 0.0401020 | − | 0.123421i | ||||
\(737\) | −2.50327 | − | 1.27548i | −0.0922093 | − | 0.0469830i | ||||
\(738\) | 0.776514 | − | 1.44713i | 0.0285839 | − | 0.0532698i | ||||
\(739\) | 15.4065 | + | 5.00589i | 0.566739 | + | 0.184145i | 0.578351 | − | 0.815788i | \(-0.303696\pi\) |
−0.0116122 | + | 0.999933i | \(0.503696\pi\) | |||||||
\(740\) | −6.05783 | + | 10.6256i | −0.222690 | + | 0.390604i | ||||
\(741\) | −8.17891 | + | 15.6390i | −0.300460 | + | 0.574513i | ||||
\(742\) | 0.417817 | + | 0.0661757i | 0.0153385 | + | 0.00242939i | ||||
\(743\) | 3.57440 | + | 3.57440i | 0.131132 | + | 0.131132i | 0.769626 | − | 0.638494i | \(-0.220442\pi\) |
−0.638494 | + | 0.769626i | \(0.720442\pi\) | |||||||
\(744\) | 0.00695516 | + | 0.00117747i | 0.000254989 | + | 4.31681e-5i | ||||
\(745\) | −2.56134 | − | 3.89752i | −0.0938402 | − | 0.142794i | ||||
\(746\) | 0.226154 | − | 0.311274i | 0.00828009 | − | 0.0113966i | ||||
\(747\) | −0.893427 | − | 6.53698i | −0.0326888 | − | 0.239176i | ||||
\(748\) | 16.6392 | + | 32.6562i | 0.608388 | + | 1.19403i | ||||
\(749\) | −10.2516 | −0.374585 | ||||||||
\(750\) | −0.00563940 | − | 0.989368i | −0.000205922 | − | 0.0361266i | ||||
\(751\) | 5.81393 | 0.212153 | 0.106077 | − | 0.994358i | \(-0.466171\pi\) | ||||
0.106077 | + | 0.994358i | \(0.466171\pi\) | |||||||
\(752\) | −6.65676 | − | 13.0646i | −0.242747 | − | 0.476418i | ||||
\(753\) | 27.9222 | − | 37.5854i | 1.01754 | − | 1.36969i | ||||
\(754\) | −0.113660 | + | 0.156440i | −0.00413926 | + | 0.00569720i | ||||
\(755\) | −3.84569 | − | 5.85188i | −0.139959 | − | 0.212972i | ||||
\(756\) | 3.97373 | − | 20.7794i | 0.144523 | − | 0.755740i | ||||
\(757\) | −3.51235 | − | 3.51235i | −0.127658 | − | 0.127658i | 0.640391 | − | 0.768049i | \(-0.278772\pi\) |
−0.768049 | + | 0.640391i | \(0.778772\pi\) | |||||||
\(758\) | −1.15861 | − | 0.183506i | −0.0420827 | − | 0.00666525i | ||||
\(759\) | −26.6199 | − | 13.9217i | −0.966240 | − | 0.505326i | ||||
\(760\) | 0.735310 | − | 1.28975i | 0.0266725 | − | 0.0467842i | ||||
\(761\) | 16.5920 | + | 5.39106i | 0.601459 | + | 0.195426i | 0.593891 | − | 0.804546i | \(-0.297591\pi\) |
0.00756785 | + | 0.999971i | \(0.497591\pi\) | |||||||
\(762\) | −0.0923422 | − | 0.294822i | −0.00334520 | − | 0.0106803i | ||||
\(763\) | 18.7133 | + | 9.53488i | 0.677465 | + | 0.345186i | ||||
\(764\) | 11.6823 | − | 35.9545i | 0.422651 | − | 1.30079i | ||||
\(765\) | 26.8345 | + | 30.7672i | 0.970204 | + | 1.11239i | ||||
\(766\) | 0.121870 | + | 0.375077i | 0.00440334 | + | 0.0135521i | ||||
\(767\) | −2.11898 | + | 13.3787i | −0.0765119 | + | 0.483077i | ||||
\(768\) | 27.3503 | + | 0.290587i | 0.986918 | + | 0.0104857i | ||||
\(769\) | 2.97500 | + | 4.09474i | 0.107281 | + | 0.147660i | 0.859282 | − | 0.511502i | \(-0.170911\pi\) |
−0.752000 | + | 0.659163i | \(0.770911\pi\) | |||||||
\(770\) | 0.701362 | + | 0.0329310i | 0.0252753 | + | 0.00118675i | ||||
\(771\) | −21.3548 | + | 3.15007i | −0.769073 | + | 0.113447i | ||||
\(772\) | 3.46656 | + | 21.8870i | 0.124764 | + | 0.787731i | ||||
\(773\) | −4.71165 | + | 2.40071i | −0.169466 | + | 0.0863474i | −0.536666 | − | 0.843795i | \(-0.680317\pi\) |
0.367200 | + | 0.930142i | \(0.380317\pi\) | |||||||
\(774\) | 0.0180224 | − | 0.848043i | 0.000647801 | − | 0.0304823i | ||||
\(775\) | −0.0217905 | − | 0.0972971i | −0.000782736 | − | 0.00349502i | ||||
\(776\) | − | 1.09491i | − | 0.0393049i | ||||||
\(777\) | −9.16320 | − | 3.08531i | −0.328728 | − | 0.110685i | ||||
\(778\) | 0.880046 | − | 0.139386i | 0.0315512 | − | 0.00499722i | ||||
\(779\) | −28.1806 | − | 20.4744i | −1.00968 | − | 0.733572i | ||||
\(780\) | −9.74701 | − | 22.2011i | −0.348999 | − | 0.794927i | ||||
\(781\) | −24.0343 | + | 17.4619i | −0.860014 | + | 0.624837i | ||||
\(782\) | −1.26476 | + | 1.26476i | −0.0452275 | + | 0.0452275i | ||||
\(783\) | −5.19116 | + | 3.52444i | −0.185517 | + | 0.125953i | ||||
\(784\) | −10.7805 | + | 3.50279i | −0.385017 | + | 0.125100i | ||||
\(785\) | 2.92016 | − | 14.1155i | 0.104225 | − | 0.503805i | ||||
\(786\) | 0.618982 | − | 0.307148i | 0.0220783 | − | 0.0109556i | ||||
\(787\) | 14.6311 | − | 28.7152i | 0.521543 | − | 1.02359i | −0.468585 | − | 0.883418i | \(-0.655236\pi\) |
0.990128 | − | 0.140167i | \(-0.0447639\pi\) | |||||||
\(788\) | −22.8416 | + | 44.8292i | −0.813699 | + | 1.59697i | ||||
\(789\) | 5.59253 | − | 2.77509i | 0.199099 | − | 0.0987959i | ||||
\(790\) | 0.480637 | + | 1.06391i | 0.0171003 | + | 0.0378523i | ||||
\(791\) | −16.9641 | + | 5.51196i | −0.603173 | + | 0.195983i | ||||
\(792\) | −0.327688 | + | 1.81804i | −0.0116439 | + | 0.0646011i | ||||
\(793\) | 28.6515 | − | 28.6515i | 1.01745 | − | 1.01745i | ||||
\(794\) | −0.428933 | + | 0.311638i | −0.0152223 | + | 0.0110596i | ||||
\(795\) | 15.6538 | − | 1.56330i | 0.555183 | − | 0.0554444i | ||||
\(796\) | −26.0410 | − | 18.9199i | −0.923000 | − | 0.670599i | ||||
\(797\) | 27.1310 | − | 4.29713i | 0.961030 | − | 0.152212i | 0.343841 | − | 0.939028i | \(-0.388272\pi\) |
0.617188 | + | 0.786816i | \(0.288272\pi\) | |||||||
\(798\) | 0.555759 | + | 0.187128i | 0.0196737 | + | 0.00662425i | ||||
\(799\) | 22.3966i | 0.792336i | ||||||||
\(800\) | 1.12769 | + | 2.84480i | 0.0398698 | + | 0.100579i | ||||
\(801\) | 40.5805 | + | 0.862405i | 1.43384 | + | 0.0304716i | ||||
\(802\) | −0.669264 | + | 0.341007i | −0.0236325 | + | 0.0120414i | ||||
\(803\) | 0.0184483 | + | 0.116478i | 0.000651025 | + | 0.00411041i | ||||
\(804\) | 3.18918 | − | 0.470440i | 0.112474 | − | 0.0165912i | ||||
\(805\) | −6.92377 | − | 25.2886i | −0.244031 | − | 0.891307i | ||||
\(806\) | 0.00187701 | + | 0.00258348i | 6.61147e−5 | + | 9.09991e-5i | ||||
\(807\) | −23.5042 | − | 0.249724i | −0.827388 | − | 0.00879072i | ||||
\(808\) | 0.391301 | − | 2.47057i | 0.0137659 | − | 0.0869145i | ||||
\(809\) | −1.47285 | − | 4.53298i | −0.0517828 | − | 0.159371i | 0.921821 | − | 0.387616i | \(-0.126701\pi\) |
−0.973604 | + | 0.228245i | \(0.926701\pi\) | |||||||
\(810\) | 0.0695190 | + | 1.02584i | 0.00244265 | + | 0.0360445i | ||||
\(811\) | −17.2310 | + | 53.0316i | −0.605062 | + | 1.86219i | −0.108700 | + | 0.994075i | \(0.534669\pi\) |
−0.496363 | + | 0.868115i | \(0.665331\pi\) | |||||||
\(812\) | −4.38058 | − | 2.23202i | −0.153728 | − | 0.0783284i | ||||
\(813\) | −4.26667 | − | 13.6222i | −0.149639 | − | 0.477753i | ||||
\(814\) | 0.401210 | + | 0.130361i | 0.0140624 | + | 0.00456915i | ||||
\(815\) | 4.49459 | + | 40.6350i | 0.157439 | + | 1.42338i | ||||
\(816\) | −37.2169 | − | 19.4637i | −1.30285 | − | 0.681367i | ||||
\(817\) | −17.7695 | − | 2.81441i | −0.621675 | − | 0.0984636i | ||||
\(818\) | 0.179879 | + | 0.179879i | 0.00628932 | + | 0.00628932i | ||||
\(819\) | 15.7421 | − | 10.9340i | 0.550075 | − | 0.382064i | ||||
\(820\) | 46.1568 | − | 12.6373i | 1.61186 | − | 0.441312i | ||||
\(821\) | 11.9603 | − | 16.4619i | 0.417416 | − | 0.574524i | −0.547591 | − | 0.836746i | \(-0.684455\pi\) |
0.965008 | + | 0.262222i | \(0.0844552\pi\) | |||||||
\(822\) | 0.523253 | − | 0.704337i | 0.0182506 | − | 0.0245666i | ||||
\(823\) | 12.2207 | + | 23.9846i | 0.425989 | + | 0.836050i | 0.999854 | + | 0.0170998i | \(0.00544330\pi\) |
−0.573865 | + | 0.818950i | \(0.694557\pi\) | |||||||
\(824\) | 3.43168 | 0.119548 | ||||||||
\(825\) | 25.5393 | − | 5.43545i | 0.889165 | − | 0.189238i | ||||
\(826\) | 0.450081 | 0.0156603 | ||||||||
\(827\) | −8.46369 | − | 16.6109i | −0.294311 | − | 0.577618i | 0.695745 | − | 0.718289i | \(-0.255074\pi\) |
−0.990057 | + | 0.140670i | \(0.955074\pi\) | |||||||
\(828\) | 34.1518 | − | 4.66762i | 1.18686 | − | 0.162211i | ||||
\(829\) | −20.7919 | + | 28.6176i | −0.722132 | + | 0.993930i | 0.277318 | + | 0.960778i | \(0.410554\pi\) |
−0.999450 | + | 0.0331514i | \(0.989446\pi\) | |||||||
\(830\) | −0.157053 | + | 0.196117i | −0.00545139 | + | 0.00680731i | ||||
\(831\) | −32.9809 | − | 5.58347i | −1.14409 | − | 0.193688i | ||||
\(832\) | 17.5916 | + | 17.5916i | 0.609879 | + | 0.609879i | ||||
\(833\) | 17.1009 | + | 2.70851i | 0.592510 | + | 0.0938444i | ||||
\(834\) | 0.207724 | − | 0.397192i | 0.00719289 | − | 0.0137536i | ||||
\(835\) | 2.57577 | − | 1.16364i | 0.0891383 | − | 0.0402695i | ||||
\(836\) | 18.6198 | + | 6.04995i | 0.643981 | + | 0.209242i | ||||
\(837\) | 0.0288633 | + | 0.0995178i | 0.000997662 | + | 0.00343984i | ||||
\(838\) | −1.11115 | − | 0.566157i | −0.0383839 | − | 0.0195576i | ||||
\(839\) | −8.42816 | + | 25.9392i | −0.290972 | + | 0.895520i | 0.693572 | + | 0.720387i | \(0.256036\pi\) |
−0.984545 | + | 0.175134i | \(0.943964\pi\) | |||||||
\(840\) | −1.35676 | + | 0.871128i | −0.0468128 | + | 0.0300568i | ||||
\(841\) | −8.51090 | − | 26.1939i | −0.293479 | − | 0.903237i | ||||
\(842\) | 0.0225049 | − | 0.142090i | 0.000775570 | − | 0.00489676i | ||||
\(843\) | −0.191006 | + | 17.9776i | −0.00657859 | + | 0.619182i | ||||
\(844\) | −18.6806 | − | 25.7117i | −0.643013 | − | 0.885032i | ||||
\(845\) | −2.50905 | + | 6.64414i | −0.0863140 | + | 0.228565i | ||||
\(846\) | −0.341170 | + | 0.449191i | −0.0117297 | + | 0.0154435i | ||||
\(847\) | −0.608837 | − | 3.84405i | −0.0209199 | − | 0.132083i | ||||
\(848\) | −14.4201 | + | 7.34738i | −0.495187 | + | 0.252310i | ||||
\(849\) | 11.9328 | − | 11.6819i | 0.409531 | − | 0.400920i | ||||
\(850\) | 0.145673 | − | 1.54785i | 0.00499654 | − | 0.0530907i | ||||
\(851\) | − | 15.7531i | − | 0.540011i | ||||||
\(852\) | 10.8775 | − | 32.3057i | 0.372658 | − | 1.10677i | ||||
\(853\) | −47.8254 | + | 7.57479i | −1.63751 | + | 0.259356i | −0.906250 | − | 0.422743i | \(-0.861067\pi\) |
−0.731260 | + | 0.682099i | \(0.761067\pi\) | |||||||
\(854\) | −1.08922 | − | 0.791367i | −0.0372725 | − | 0.0270800i | ||||
\(855\) | 21.7573 | + | 1.48543i | 0.744085 | + | 0.0508007i | ||||
\(856\) | −0.830973 | + | 0.603737i | −0.0284021 | + | 0.0206353i | ||||
\(857\) | 27.4824 | − | 27.4824i | 0.938780 | − | 0.938780i | −0.0594514 | − | 0.998231i | \(-0.518935\pi\) |
0.998231 | + | 0.0594514i | \(0.0189351\pi\) | |||||||
\(858\) | −0.681744 | + | 0.484334i | −0.0232743 | + | 0.0165349i | ||||
\(859\) | −28.7211 | + | 9.33206i | −0.979953 | + | 0.318406i | −0.754827 | − | 0.655924i | \(-0.772279\pi\) |
−0.225126 | + | 0.974330i | \(0.572279\pi\) | |||||||
\(860\) | 18.2779 | − | 16.6385i | 0.623273 | − | 0.567369i | ||||
\(861\) | 16.8153 | + | 33.8871i | 0.573062 | + | 1.15487i | ||||
\(862\) | −0.511717 | + | 1.00430i | −0.0174291 | + | 0.0342066i | ||||
\(863\) | −16.3635 | + | 32.1153i | −0.557021 | + | 1.09322i | 0.425131 | + | 0.905132i | \(0.360228\pi\) |
−0.982153 | + | 0.188085i | \(0.939772\pi\) | |||||||
\(864\) | −1.35275 | − | 2.87816i | −0.0460216 | − | 0.0979170i | ||||
\(865\) | 4.02505 | + | 2.29475i | 0.136856 | + | 0.0780240i | ||||
\(866\) | −1.95956 | + | 0.636700i | −0.0665886 | + | 0.0216360i | ||||
\(867\) | 20.1007 | + | 28.2936i | 0.682655 | + | 0.960899i | ||||
\(868\) | −0.0574107 | + | 0.0574107i | −0.00194865 | + | 0.00194865i | ||||
\(869\) | −24.9262 | + | 18.1100i | −0.845564 | + | 0.614338i | ||||
\(870\) | 0.233461 | + | 0.0508897i | 0.00791507 | + | 0.00172532i | ||||
\(871\) | 2.36280 | + | 1.71668i | 0.0800606 | + | 0.0581674i | ||||
\(872\) | 2.07838 | − | 0.329184i | 0.0703830 | − | 0.0111476i | ||||
\(873\) | 14.4822 | − | 6.99551i | 0.490147 | − | 0.236762i | ||||
\(874\) | 0.955447i | 0.0323185i | ||||||||
\(875\) | 18.6536 | + | 13.0928i | 0.630608 | + | 0.442619i | ||||
\(876\) | −0.0946608 | − | 0.0966939i | −0.00319829 | − | 0.00326698i | ||||
\(877\) | −36.9183 | + | 18.8108i | −1.24664 | + | 0.635195i | −0.947726 | − | 0.319085i | \(-0.896625\pi\) |
−0.298915 | + | 0.954280i | \(0.596625\pi\) | |||||||
\(878\) | 0.104015 | + | 0.656722i | 0.00351032 | + | 0.0221633i | ||||
\(879\) | 2.76890 | + | 18.7707i | 0.0933927 | + | 0.633122i | ||||
\(880\) | −22.4485 | + | 14.7525i | −0.756739 | + | 0.497307i | ||||
\(881\) | −7.72042 | − | 10.6262i | −0.260107 | − | 0.358007i | 0.658912 | − | 0.752220i | \(-0.271017\pi\) |
−0.919019 | + | 0.394213i | \(0.871017\pi\) | |||||||
\(882\) | 0.301719 | + | 0.314822i | 0.0101594 | + | 0.0106006i | ||||
\(883\) | 1.28990 | − | 8.14408i | 0.0434084 | − | 0.274070i | −0.956432 | − | 0.291957i | \(-0.905694\pi\) |
0.999840 | + | 0.0178865i | \(0.00569375\pi\) | |||||||
\(884\) | −11.7736 | − | 36.2354i | −0.395989 | − | 1.21873i | ||||
\(885\) | 16.1897 | − | 4.24822i | 0.544212 | − | 0.142802i | ||||
\(886\) | −0.462245 | + | 1.42265i | −0.0155294 | + | 0.0477947i | ||||
\(887\) | −7.79789 | − | 3.97322i | −0.261827 | − | 0.133408i | 0.318150 | − | 0.948040i | \(-0.396939\pi\) |
−0.579977 | + | 0.814633i | \(0.696939\pi\) | |||||||
\(888\) | −0.924450 | + | 0.289550i | −0.0310225 | + | 0.00971667i | ||||
\(889\) | 6.76808 | + | 2.19908i | 0.226994 | + | 0.0737548i | ||||
\(890\) | −1.04052 | − | 1.14304i | −0.0348782 | − | 0.0383148i | ||||
\(891\) | −26.1405 | + | 7.28140i | −0.875740 | + | 0.243936i | ||||
\(892\) | −42.9406 | − | 6.80112i | −1.43776 | − | 0.227718i | ||||
\(893\) | 8.45966 | + | 8.45966i | 0.283092 | + | 0.283092i | ||||
\(894\) | 0.0308085 | − | 0.181982i | 0.00103039 | − | 0.00608640i | ||||
\(895\) | 0.532312 | − | 11.3371i | 0.0177932 | − | 0.378959i | ||||
\(896\) | 1.95248 | − | 2.68736i | 0.0652279 | − | 0.0897785i | ||||
\(897\) | 25.0679 | + | 18.6230i | 0.836992 | + | 0.621803i | ||||
\(898\) | 0.635018 | + | 1.24629i | 0.0211908 | + | 0.0415893i | ||||
\(899\) | 0.0240800 | 0.000803114 | ||||||||
\(900\) | −20.2774 | + | 22.0562i | −0.675914 | + | 0.735208i | ||||
\(901\) | 24.7202 | 0.823551 | ||||||||
\(902\) | −0.749338 | − | 1.47066i | −0.0249502 | − | 0.0489676i | ||||
\(903\) | 15.6842 | + | 11.6518i | 0.521937 | + | 0.387748i | ||||
\(904\) | −1.05046 | + | 1.44584i | −0.0349378 | + | 0.0480878i | ||||
\(905\) | −2.18851 | − | 0.826456i | −0.0727486 | − | 0.0274723i | ||||
\(906\) | 0.0462571 | − | 0.273235i | 0.00153679 | − | 0.00907763i | ||||
\(907\) | −22.7174 | − | 22.7174i | −0.754317 | − | 0.754317i | 0.220964 | − | 0.975282i | \(-0.429080\pi\) |
−0.975282 | + | 0.220964i | \(0.929080\pi\) | |||||||
\(908\) | −42.3220 | − | 6.70314i | −1.40450 | − | 0.222452i | ||||
\(909\) | 35.1780 | − | 10.6092i | 1.16678 | − | 0.351884i | ||||
\(910\) | −0.714764 | − | 0.147867i | −0.0236942 | − | 0.00490176i | ||||
\(911\) | 32.0727 | + | 10.4210i | 1.06262 | + | 0.345265i | 0.787607 | − | 0.616177i | \(-0.211320\pi\) |
0.275008 | + | 0.961442i | \(0.411320\pi\) | |||||||
\(912\) | −21.4094 | + | 6.70573i | −0.708937 | + | 0.222049i | ||||
\(913\) | −5.90818 | − | 3.01037i | −0.195532 | − | 0.0996286i | ||||
\(914\) | 0.213945 | − | 0.658455i | 0.00707667 | − | 0.0217798i | ||||
\(915\) | −46.6497 | − | 18.1851i | −1.54219 | − | 0.601181i | ||||
\(916\) | 7.13239 | + | 21.9512i | 0.235661 | + | 0.725289i | ||||
\(917\) | −2.48993 | + | 15.7208i | −0.0822248 | + | 0.519147i | ||||
\(918\) | −0.0514874 | + | 1.61486i | −0.00169934 | + | 0.0532982i | ||||
\(919\) | −21.7602 | − | 29.9504i | −0.717804 | − | 0.987972i | −0.999594 | − | 0.0284959i | \(-0.990928\pi\) |
0.281790 | − | 0.959476i | \(-0.409072\pi\) | |||||||
\(920\) | −2.05052 | − | 1.64209i | −0.0676038 | − | 0.0541380i | ||||
\(921\) | 6.37839 | + | 43.2400i | 0.210175 | + | 1.42481i | ||||
\(922\) | −0.231971 | − | 1.46461i | −0.00763956 | − | 0.0482343i | ||||
\(923\) | 27.5167 | − | 14.0205i | 0.905724 | − | 0.461490i | ||||
\(924\) | −14.8741 | − | 15.1936i | −0.489322 | − | 0.499832i | ||||
\(925\) | 8.73238 | + | 10.5468i | 0.287119 | + | 0.346777i | ||||
\(926\) | 0.365984i | 0.0120270i | ||||||||
\(927\) | 21.9255 | + | 45.3903i | 0.720127 | + | 1.49081i | ||||
\(928\) | −0.729951 | + | 0.115613i | −0.0239618 | + | 0.00379518i | ||||
\(929\) | 21.0087 | + | 15.2637i | 0.689272 | + | 0.500785i | 0.876421 | − | 0.481546i | \(-0.159925\pi\) |
−0.187149 | + | 0.982332i | \(0.559925\pi\) | |||||||
\(930\) | 0.00199066 | − | 0.00340702i | 6.52764e−5 | − | 0.000111721i | ||||
\(931\) | 7.48241 | − | 5.43629i | 0.245226 | − | 0.178167i | ||||
\(932\) | −20.6436 | + | 20.6436i | −0.676205 | + | 0.676205i | ||||
\(933\) | 4.76411 | + | 6.70592i | 0.155970 | + | 0.219542i | ||||
\(934\) | −0.414692 | + | 0.134742i | −0.0135692 | + | 0.00440888i | ||||
\(935\) | 40.7818 | − | 4.51083i | 1.33371 | − | 0.147520i | ||||
\(936\) | 0.632102 | − | 1.81337i | 0.0206609 | − | 0.0592719i | ||||
\(937\) | −11.4061 | + | 22.3857i | −0.372621 | + | 0.731310i | −0.998831 | − | 0.0483450i | \(-0.984605\pi\) |
0.626210 | + | 0.779655i | \(0.284605\pi\) | |||||||
\(938\) | 0.0440569 | − | 0.0864664i | 0.00143851 | − | 0.00282323i | ||||
\(939\) | −20.7907 | − | 41.8987i | −0.678480 | − | 1.36731i | ||||
\(940\) | −16.3368 | + | 1.80699i | −0.532847 | + | 0.0589376i | ||||
\(941\) | −37.5058 | + | 12.1864i | −1.22265 | + | 0.397264i | −0.848047 | − | 0.529920i | \(-0.822222\pi\) |
−0.374606 | + | 0.927184i | \(0.622222\pi\) | |||||||
\(942\) | 0.465045 | − | 0.330384i | 0.0151520 | − | 0.0107645i | ||||
\(943\) | −43.5831 | + | 43.5831i | −1.41926 | + | 1.41926i | ||||
\(944\) | −13.9305 | + | 10.1211i | −0.453401 | + | 0.329415i | ||||
\(945\) | −20.1908 | − | 12.3799i | −0.656807 | − | 0.402719i | ||||
\(946\) | −0.689684 | − | 0.501085i | −0.0224236 | − | 0.0162917i | ||||
\(947\) | 27.4747 | − | 4.35156i | 0.892808 | − | 0.141407i | 0.306859 | − | 0.951755i | \(-0.400722\pi\) |
0.585949 | + | 0.810348i | \(0.300722\pi\) | |||||||
\(948\) | 11.2812 | − | 33.5046i | 0.366397 | − | 1.08818i | ||||
\(949\) | − | 0.122593i | − | 0.00397954i | ||||||
\(950\) | −0.529629 | − | 0.639677i | −0.0171834 | − | 0.0207538i | ||||
\(951\) | 4.79995 | − | 4.69903i | 0.155649 | − | 0.152377i | ||||
\(952\) | −2.25745 | + | 1.15023i | −0.0731644 | + | 0.0372791i | ||||
\(953\) | −1.49150 | − | 9.41698i | −0.0483145 | − | 0.305046i | 0.951683 | − | 0.307081i | \(-0.0993522\pi\) |
−0.999998 | + | 0.00203511i | \(0.999352\pi\) | |||||||
\(954\) | 0.495794 | + | 0.376566i | 0.0160519 | + | 0.0121918i | ||||
\(955\) | −33.0350 | − | 26.4549i | −1.06899 | − | 0.856060i | ||||
\(956\) | 4.75543 | + | 6.54529i | 0.153802 | + | 0.211690i | ||||
\(957\) | −0.0669960 | + | 6.30571i | −0.00216567 | + | 0.203835i | ||||
\(958\) | −0.117016 | + | 0.738808i | −0.00378060 | + | 0.0238698i | ||||
\(959\) | 6.24559 | + | 19.2220i | 0.201681 | + | 0.620709i | ||||
\(960\) | 11.1654 | − | 28.6422i | 0.360361 | − | 0.924422i | ||||
\(961\) | −9.57940 | + | 29.4824i | −0.309013 | + | 0.951044i | ||||
\(962\) | −0.390741 | − | 0.199093i | −0.0125980 | − | 0.00641900i | ||||
\(963\) | −13.2947 | − | 7.13379i | −0.428417 | − | 0.229883i | ||||
\(964\) | −3.76057 | − | 1.22188i | −0.121120 | − | 0.0393542i | ||||
\(965\) | 24.2934 | + | 5.02572i | 0.782033 | + | 0.161784i | ||||
\(966\) | 0.480874 | − | 0.919486i | 0.0154719 | − | 0.0295840i | ||||
\(967\) | 61.1082 | + | 9.67859i | 1.96511 | + | 0.311242i | 0.998484 | + | 0.0550419i | \(0.0175292\pi\) |
0.966624 | + | 0.256201i | \(0.0824708\pi\) | |||||||
\(968\) | −0.275735 | − | 0.275735i | −0.00886245 | − | 0.00886245i | ||||
\(969\) | 33.7876 | + | 5.72004i | 1.08541 | + | 0.183754i | ||||
\(970\) | −0.572977 | − | 0.216376i | −0.0183972 | − | 0.00694740i | ||||
\(971\) | 15.4537 | − | 21.2702i | 0.495933 | − | 0.682594i | −0.485535 | − | 0.874217i | \(-0.661375\pi\) |
0.981469 | + | 0.191623i | \(0.0613752\pi\) | |||||||
\(972\) | 19.6131 | − | 24.1825i | 0.629090 | − | 0.775653i | ||||
\(973\) | 4.68734 | + | 9.19942i | 0.150269 | + | 0.294920i | ||||
\(974\) | −0.640128 | −0.0205110 | ||||||||
\(975\) | −27.1063 | + | 1.42761i | −0.868095 | + | 0.0457200i | ||||
\(976\) | 51.5085 | 1.64875 | ||||||||
\(977\) | −8.85510 | − | 17.3791i | −0.283300 | − | 0.556007i | 0.704876 | − | 0.709330i | \(-0.251002\pi\) |
−0.988176 | + | 0.153323i | \(0.951002\pi\) | |||||||
\(978\) | −0.964861 | + | 1.29877i | −0.0308528 | + | 0.0415302i | ||||
\(979\) | 23.9779 | − | 33.0027i | 0.766336 | − | 1.05477i | ||||
\(980\) | −0.595946 | + | 12.6924i | −0.0190368 | + | 0.405445i | ||||
\(981\) | 17.6331 | + | 25.3873i | 0.562983 | + | 0.810553i | ||||
\(982\) | 1.32033 | + | 1.32033i | 0.0421335 | + | 0.0421335i | ||||
\(983\) | −54.7775 | − | 8.67590i | −1.74713 | − | 0.276718i | −0.800569 | − | 0.599241i | \(-0.795469\pi\) |
−0.946562 | + | 0.322523i | \(0.895469\pi\) | |||||||
\(984\) | 3.35868 | + | 1.75653i | 0.107071 | + | 0.0559961i | ||||
\(985\) | 37.9161 | + | 41.6521i | 1.20811 | + | 1.32714i | ||||
\(986\) | 0.357091 | + | 0.116026i | 0.0113721 | + | 0.00369502i | ||||
\(987\) | −3.88353 | − | 12.3990i | −0.123614 | − | 0.394664i | ||||
\(988\) | −18.1340 | − | 9.23973i | −0.576919 | − | 0.293955i | ||||
\(989\) | −9.83731 | + | 30.2761i | −0.312808 | + | 0.962725i | ||||
\(990\) | 0.886641 | + | 0.530763i | 0.0281793 | + | 0.0168688i | ||||
\(991\) | −8.12909 | − | 25.0188i | −0.258229 | − | 0.794748i | −0.993176 | − | 0.116623i | \(-0.962793\pi\) |
0.734947 | − | 0.678124i | \(-0.237207\pi\) | |||||||
\(992\) | −0.00190925 | + | 0.0120546i | −6.06189e−5 | + | 0.000382733i | ||||
\(993\) | −30.1402 | − | 0.320230i | −0.956471 | − | 0.0101622i | ||||
\(994\) | −0.603158 | − | 0.830176i | −0.0191310 | − | 0.0263316i | ||||
\(995\) | −30.1141 | + | 19.7902i | −0.954683 | + | 0.627390i | ||||
\(996\) | 7.52703 | − | 1.11032i | 0.238503 | − | 0.0351820i | ||||
\(997\) | 3.96330 | + | 25.0233i | 0.125519 | + | 0.792496i | 0.967478 | + | 0.252955i | \(0.0814023\pi\) |
−0.841959 | + | 0.539541i | \(0.818598\pi\) | |||||||
\(998\) | −0.382049 | + | 0.194664i | −0.0120935 | + | 0.00616197i | ||||
\(999\) | −9.73626 | − | 10.3776i | −0.308042 | − | 0.328332i |
(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 | 75.2.l.a.47.5 | yes | 64 | |
3.2 | odd | 2 | inner | 75.2.l.a.47.4 | yes | 64 | |
5.2 | odd | 4 | 375.2.l.b.368.4 | 64 | |||
5.3 | odd | 4 | 375.2.l.a.368.5 | 64 | |||
5.4 | even | 2 | 375.2.l.c.257.4 | 64 | |||
15.2 | even | 4 | 375.2.l.b.368.5 | 64 | |||
15.8 | even | 4 | 375.2.l.a.368.4 | 64 | |||
15.14 | odd | 2 | 375.2.l.c.257.5 | 64 | |||
25.6 | even | 5 | 375.2.l.a.107.4 | 64 | |||
25.8 | odd | 20 | inner | 75.2.l.a.8.4 | ✓ | 64 | |
25.17 | odd | 20 | 375.2.l.c.143.5 | 64 | |||
25.19 | even | 10 | 375.2.l.b.107.5 | 64 | |||
75.8 | even | 20 | inner | 75.2.l.a.8.5 | yes | 64 | |
75.17 | even | 20 | 375.2.l.c.143.4 | 64 | |||
75.44 | odd | 10 | 375.2.l.b.107.4 | 64 | |||
75.56 | odd | 10 | 375.2.l.a.107.5 | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
75.2.l.a.8.4 | ✓ | 64 | 25.8 | odd | 20 | inner | |
75.2.l.a.8.5 | yes | 64 | 75.8 | even | 20 | inner | |
75.2.l.a.47.4 | yes | 64 | 3.2 | odd | 2 | inner | |
75.2.l.a.47.5 | yes | 64 | 1.1 | even | 1 | trivial | |
375.2.l.a.107.4 | 64 | 25.6 | even | 5 | |||
375.2.l.a.107.5 | 64 | 75.56 | odd | 10 | |||
375.2.l.a.368.4 | 64 | 15.8 | even | 4 | |||
375.2.l.a.368.5 | 64 | 5.3 | odd | 4 | |||
375.2.l.b.107.4 | 64 | 75.44 | odd | 10 | |||
375.2.l.b.107.5 | 64 | 25.19 | even | 10 | |||
375.2.l.b.368.4 | 64 | 5.2 | odd | 4 | |||
375.2.l.b.368.5 | 64 | 15.2 | even | 4 | |||
375.2.l.c.143.4 | 64 | 75.17 | even | 20 | |||
375.2.l.c.143.5 | 64 | 25.17 | odd | 20 | |||
375.2.l.c.257.4 | 64 | 5.4 | even | 2 | |||
375.2.l.c.257.5 | 64 | 15.14 | odd | 2 |