Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [637,2,Mod(79,637)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(637, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("637.79");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 637 = 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 637.e (of order \(3\), degree \(2\), not 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: | \(5.08647060876\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 6.0.4406832.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{6} - x^{5} + 6x^{4} + 7x^{3} + 24x^{2} + 5x + 1 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 79.1 | ||
Root | \(1.43310 + 2.48220i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 637.79 |
Dual form | 637.2.e.k.508.1 |
$q$-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 \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(248\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.933099 | + | 1.61618i | −0.659801 | + | 1.14281i | 0.320866 | + | 0.947124i | \(0.396026\pi\) |
−0.980667 | + | 0.195684i | \(0.937307\pi\) | |||||||
\(3\) | −1.67445 | − | 2.90023i | −0.966742 | − | 1.67445i | −0.704859 | − | 0.709348i | \(-0.748990\pi\) |
−0.261884 | − | 0.965099i | \(-0.584344\pi\) | |||||||
\(4\) | −0.741348 | − | 1.28405i | −0.370674 | − | 0.642026i | ||||
\(5\) | 0.433099 | − | 0.750150i | 0.193688 | − | 0.335477i | −0.752782 | − | 0.658270i | \(-0.771288\pi\) |
0.946470 | + | 0.322793i | \(0.104622\pi\) | |||||||
\(6\) | 6.24970 | 2.55143 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −0.965392 | −0.341318 | ||||||||
\(9\) | −4.10755 | + | 7.11448i | −1.36918 | + | 2.37149i | ||||
\(10\) | 0.808249 | + | 1.39993i | 0.255591 | + | 0.442696i | ||||
\(11\) | 1.93310 | + | 3.34823i | 0.582851 | + | 1.00953i | 0.995140 | + | 0.0984746i | \(0.0313963\pi\) |
−0.412288 | + | 0.911053i | \(0.635270\pi\) | |||||||
\(12\) | −2.48270 | + | 4.30016i | −0.716693 | + | 1.24135i | ||||
\(13\) | −1.00000 | −0.277350 | ||||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −2.90081 | −0.748985 | ||||||||
\(16\) | 2.38350 | − | 4.12835i | 0.595876 | − | 1.03209i | ||||
\(17\) | −1.67445 | − | 2.90023i | −0.406113 | − | 0.703408i | 0.588337 | − | 0.808616i | \(-0.299783\pi\) |
−0.994450 | + | 0.105207i | \(0.966449\pi\) | |||||||
\(18\) | −7.66550 | − | 13.2770i | −1.80677 | − | 3.12943i | ||||
\(19\) | −2.69175 | + | 4.66225i | −0.617530 | + | 1.06959i | 0.372405 | + | 0.928070i | \(0.378533\pi\) |
−0.989935 | + | 0.141523i | \(0.954800\pi\) | |||||||
\(20\) | −1.28431 | −0.287180 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −7.21509 | −1.53826 | ||||||||
\(23\) | 2.62485 | − | 4.54637i | 0.547319 | − | 0.947985i | −0.451138 | − | 0.892454i | \(-0.648982\pi\) |
0.998457 | − | 0.0555303i | \(-0.0176849\pi\) | |||||||
\(24\) | 1.61650 | + | 2.79986i | 0.329966 | + | 0.571518i | ||||
\(25\) | 2.12485 | + | 3.68035i | 0.424970 | + | 0.736070i | ||||
\(26\) | 0.933099 | − | 1.61618i | 0.182996 | − | 0.316958i | ||||
\(27\) | 17.4648 | 3.36110 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 1.69779 | 0.315271 | 0.157636 | − | 0.987497i | \(-0.449613\pi\) | ||||
0.157636 | + | 0.987497i | \(0.449613\pi\) | |||||||
\(30\) | 2.70674 | − | 4.68821i | 0.494181 | − | 0.855946i | ||||
\(31\) | 3.78199 | + | 6.55060i | 0.679266 | + | 1.17652i | 0.975202 | + | 0.221316i | \(0.0710351\pi\) |
−0.295936 | + | 0.955208i | \(0.595632\pi\) | |||||||
\(32\) | 3.48270 | + | 6.03221i | 0.615659 | + | 1.06635i | ||||
\(33\) | 6.47374 | − | 11.2129i | 1.12693 | − | 1.95191i | ||||
\(34\) | 6.24970 | 1.07181 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 12.1805 | 2.03008 | ||||||||
\(37\) | 2.41580 | − | 4.18428i | 0.397154 | − | 0.687891i | −0.596219 | − | 0.802822i | \(-0.703331\pi\) |
0.993374 | + | 0.114930i | \(0.0366645\pi\) | |||||||
\(38\) | −5.02334 | − | 8.70068i | −0.814894 | − | 1.41144i | ||||
\(39\) | 1.67445 | + | 2.90023i | 0.268126 | + | 0.464408i | ||||
\(40\) | −0.418110 | + | 0.724188i | −0.0661091 | + | 0.114504i | ||||
\(41\) | 4.06922 | 0.635505 | 0.317752 | − | 0.948174i | \(-0.397072\pi\) | ||||
0.317752 | + | 0.948174i | \(0.397072\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 4.03461 | 0.615272 | 0.307636 | − | 0.951504i | \(-0.400462\pi\) | ||||
0.307636 | + | 0.951504i | \(0.400462\pi\) | |||||||
\(44\) | 2.86620 | − | 4.96440i | 0.432096 | − | 0.748412i | ||||
\(45\) | 3.55795 | + | 6.16255i | 0.530388 | + | 0.918659i | ||||
\(46\) | 4.89849 | + | 8.48444i | 0.722243 | + | 1.25096i | ||||
\(47\) | −1.82555 | + | 3.16195i | −0.266284 | + | 0.461218i | −0.967899 | − | 0.251338i | \(-0.919129\pi\) |
0.701615 | + | 0.712556i | \(0.252463\pi\) | |||||||
\(48\) | −15.9642 | −2.30423 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −7.93078 | −1.12158 | ||||||||
\(51\) | −5.60755 | + | 9.71255i | −0.785214 | + | 1.36003i | ||||
\(52\) | 0.741348 | + | 1.28405i | 0.102806 | + | 0.178066i | ||||
\(53\) | 0.107546 | + | 0.186276i | 0.0147726 | + | 0.0255869i | 0.873317 | − | 0.487152i | \(-0.161964\pi\) |
−0.858545 | + | 0.512739i | \(0.828631\pi\) | |||||||
\(54\) | −16.2964 | + | 28.2262i | −2.21766 | + | 3.84109i | ||||
\(55\) | 3.34889 | 0.451565 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 18.0288 | 2.38797 | ||||||||
\(58\) | −1.58420 | + | 2.74392i | −0.208016 | + | 0.360295i | ||||
\(59\) | −1.39245 | − | 2.41180i | −0.181282 | − | 0.313990i | 0.761035 | − | 0.648710i | \(-0.224691\pi\) |
−0.942317 | + | 0.334721i | \(0.891358\pi\) | |||||||
\(60\) | 2.15051 | + | 3.72479i | 0.277629 | + | 0.480868i | ||||
\(61\) | 4.51730 | − | 7.82420i | 0.578382 | − | 1.00179i | −0.417284 | − | 0.908776i | \(-0.637018\pi\) |
0.995665 | − | 0.0930099i | \(-0.0296488\pi\) | |||||||
\(62\) | −14.1159 | −1.79272 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −3.46479 | −0.433099 | ||||||||
\(65\) | −0.433099 | + | 0.750150i | −0.0537193 | + | 0.0930446i | ||||
\(66\) | 12.0813 | + | 20.9254i | 1.48710 | + | 2.57574i | ||||
\(67\) | 3.83159 | + | 6.63651i | 0.468103 | + | 0.810779i | 0.999336 | − | 0.0364476i | \(-0.0116042\pi\) |
−0.531232 | + | 0.847226i | \(0.678271\pi\) | |||||||
\(68\) | −2.48270 | + | 4.30016i | −0.301071 | + | 0.521470i | ||||
\(69\) | −17.5807 | −2.11647 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 4.90081 | 0.581619 | 0.290809 | − | 0.956781i | \(-0.406075\pi\) | ||||
0.290809 | + | 0.956781i | \(0.406075\pi\) | |||||||
\(72\) | 3.96539 | − | 6.86826i | 0.467326 | − | 0.809432i | ||||
\(73\) | 7.77304 | + | 13.4633i | 0.909766 | + | 1.57576i | 0.814389 | + | 0.580319i | \(0.197072\pi\) |
0.0953766 | + | 0.995441i | \(0.469594\pi\) | |||||||
\(74\) | 4.50835 | + | 7.80870i | 0.524085 | + | 0.907742i | ||||
\(75\) | 7.11590 | − | 12.3251i | 0.821673 | − | 1.42318i | ||||
\(76\) | 7.98210 | 0.915609 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −6.24970 | −0.707639 | ||||||||
\(79\) | −4.71509 | + | 8.16678i | −0.530489 | + | 0.918835i | 0.468878 | + | 0.883263i | \(0.344658\pi\) |
−0.999367 | + | 0.0355715i | \(0.988675\pi\) | |||||||
\(80\) | −2.06459 | − | 3.57597i | −0.230828 | − | 0.399805i | ||||
\(81\) | −16.9212 | − | 29.3084i | −1.88014 | − | 3.25649i | ||||
\(82\) | −3.79698 | + | 6.57657i | −0.419307 | + | 0.726260i | ||||
\(83\) | 4.09919 | 0.449945 | 0.224972 | − | 0.974365i | \(-0.427771\pi\) | ||||
0.224972 | + | 0.974365i | \(0.427771\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.90081 | −0.314637 | ||||||||
\(86\) | −3.76469 | + | 6.52063i | −0.405957 | + | 0.703138i | ||||
\(87\) | −2.84286 | − | 4.92397i | −0.304786 | − | 0.527905i | ||||
\(88\) | −1.86620 | − | 3.23235i | −0.198937 | − | 0.344570i | ||||
\(89\) | −0.209055 | + | 0.362094i | −0.0221598 | + | 0.0383819i | −0.876893 | − | 0.480686i | \(-0.840388\pi\) |
0.854733 | + | 0.519068i | \(0.173721\pi\) | |||||||
\(90\) | −13.2797 | −1.39980 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −7.78371 | −0.811508 | ||||||||
\(93\) | 12.6655 | − | 21.9373i | 1.31335 | − | 2.27479i | ||||
\(94\) | −3.40684 | − | 5.90083i | −0.351389 | − | 0.608624i | ||||
\(95\) | 2.33159 | + | 4.03843i | 0.239216 | + | 0.414334i | ||||
\(96\) | 11.6632 | − | 20.2012i | 1.19037 | − | 2.06178i | ||||
\(97\) | 7.11590 | 0.722510 | 0.361255 | − | 0.932467i | \(-0.382348\pi\) | ||||
0.361255 | + | 0.932467i | \(0.382348\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −31.7612 | −3.19212 | ||||||||
\(100\) | 3.15051 | − | 5.45684i | 0.315051 | − | 0.545684i | ||||
\(101\) | −7.05795 | − | 12.2247i | −0.702292 | − | 1.21641i | −0.967660 | − | 0.252259i | \(-0.918827\pi\) |
0.265368 | − | 0.964147i | \(-0.414507\pi\) | |||||||
\(102\) | −10.4648 | − | 18.1256i | −1.03617 | − | 1.79470i | ||||
\(103\) | −8.43018 | + | 14.6015i | −0.830651 | + | 1.43873i | 0.0668721 | + | 0.997762i | \(0.478698\pi\) |
−0.897523 | + | 0.440968i | \(0.854635\pi\) | |||||||
\(104\) | 0.965392 | 0.0946645 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.401405 | −0.0389879 | ||||||||
\(107\) | −5.09024 | + | 8.81656i | −0.492092 | + | 0.852329i | −0.999959 | − | 0.00910710i | \(-0.997101\pi\) |
0.507866 | + | 0.861436i | \(0.330434\pi\) | |||||||
\(108\) | −12.9475 | − | 22.4257i | −1.24587 | − | 2.15791i | ||||
\(109\) | 3.10151 | + | 5.37197i | 0.297071 | + | 0.514542i | 0.975464 | − | 0.220157i | \(-0.0706570\pi\) |
−0.678394 | + | 0.734699i | \(0.737324\pi\) | |||||||
\(110\) | −3.12485 | + | 5.41240i | −0.297943 | + | 0.516052i | ||||
\(111\) | −16.1805 | −1.53578 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 10.2843 | 0.967466 | 0.483733 | − | 0.875216i | \(-0.339281\pi\) | ||||
0.483733 | + | 0.875216i | \(0.339281\pi\) | |||||||
\(114\) | −16.8226 | + | 29.1377i | −1.57558 | + | 2.72899i | ||||
\(115\) | −2.27364 | − | 3.93806i | −0.212018 | − | 0.367226i | ||||
\(116\) | −1.25865 | − | 2.18005i | −0.116863 | − | 0.202412i | ||||
\(117\) | 4.10755 | − | 7.11448i | 0.379743 | − | 0.657734i | ||||
\(118\) | 5.19719 | 0.478440 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 2.80041 | 0.255642 | ||||||||
\(121\) | −1.97374 | + | 3.41863i | −0.179431 | + | 0.310784i | ||||
\(122\) | 8.43018 | + | 14.6015i | 0.763233 | + | 1.32196i | ||||
\(123\) | −6.81369 | − | 11.8017i | −0.614369 | − | 1.06412i | ||||
\(124\) | 5.60755 | − | 9.71255i | 0.503573 | − | 0.872213i | ||||
\(125\) | 8.01207 | 0.716622 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.91288 | −0.169741 | −0.0848704 | − | 0.996392i | \(-0.527048\pi\) | ||||
−0.0848704 | + | 0.996392i | \(0.527048\pi\) | |||||||
\(128\) | −3.73240 | + | 6.46470i | −0.329900 | + | 0.571404i | ||||
\(129\) | −6.75574 | − | 11.7013i | −0.594810 | − | 1.03024i | ||||
\(130\) | −0.808249 | − | 1.39993i | −0.0708881 | − | 0.122782i | ||||
\(131\) | 5.08129 | − | 8.80105i | 0.443954 | − | 0.768952i | −0.554024 | − | 0.832500i | \(-0.686909\pi\) |
0.997979 | + | 0.0635489i | \(0.0202419\pi\) | |||||||
\(132\) | −19.1972 | −1.67090 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −14.3010 | −1.23542 | ||||||||
\(135\) | 7.56399 | − | 13.1012i | 0.651004 | − | 1.12757i | ||||
\(136\) | 1.61650 | + | 2.79986i | 0.138614 | + | 0.240086i | ||||
\(137\) | −3.89849 | − | 6.75238i | −0.333071 | − | 0.576895i | 0.650042 | − | 0.759899i | \(-0.274751\pi\) |
−0.983112 | + | 0.183003i | \(0.941418\pi\) | |||||||
\(138\) | 16.4045 | − | 28.4135i | 1.39645 | − | 2.41872i | ||||
\(139\) | 5.08129 | 0.430989 | 0.215495 | − | 0.976505i | \(-0.430864\pi\) | ||||
0.215495 | + | 0.976505i | \(0.430864\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 12.2272 | 1.02971 | ||||||||
\(142\) | −4.57294 | + | 7.92056i | −0.383752 | + | 0.664679i | ||||
\(143\) | −1.93310 | − | 3.34823i | −0.161654 | − | 0.279993i | ||||
\(144\) | 19.5807 | + | 33.9148i | 1.63172 | + | 2.82623i | ||||
\(145\) | 0.735311 | − | 1.27360i | 0.0610642 | − | 0.105766i | ||||
\(146\) | −29.0121 | −2.40106 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −7.16378 | −0.588859 | ||||||||
\(149\) | 1.24739 | − | 2.16053i | 0.102190 | − | 0.176998i | −0.810397 | − | 0.585881i | \(-0.800748\pi\) |
0.912587 | + | 0.408884i | \(0.134082\pi\) | |||||||
\(150\) | 13.2797 | + | 23.0011i | 1.08428 | + | 1.87803i | ||||
\(151\) | 1.63089 | + | 2.82478i | 0.132720 | + | 0.229877i | 0.924724 | − | 0.380638i | \(-0.124296\pi\) |
−0.792004 | + | 0.610515i | \(0.790962\pi\) | |||||||
\(152\) | 2.59859 | − | 4.50090i | 0.210774 | − | 0.365071i | ||||
\(153\) | 27.5115 | 2.22417 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 6.55191 | 0.526262 | ||||||||
\(156\) | 2.48270 | − | 4.30016i | 0.198775 | − | 0.344288i | ||||
\(157\) | −0.360161 | − | 0.623817i | −0.0287440 | − | 0.0497860i | 0.851296 | − | 0.524686i | \(-0.175817\pi\) |
−0.880040 | + | 0.474900i | \(0.842484\pi\) | |||||||
\(158\) | −8.79930 | − | 15.2408i | −0.700035 | − | 1.21250i | ||||
\(159\) | 0.360161 | − | 0.623817i | 0.0285626 | − | 0.0494719i | ||||
\(160\) | 6.03341 | 0.476983 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 63.1568 | 4.96206 | ||||||||
\(163\) | −0.651106 | + | 1.12775i | −0.0509985 | + | 0.0883321i | −0.890398 | − | 0.455183i | \(-0.849574\pi\) |
0.839399 | + | 0.543515i | \(0.182907\pi\) | |||||||
\(164\) | −3.01671 | − | 5.22509i | −0.235565 | − | 0.408011i | ||||
\(165\) | −5.60755 | − | 9.71255i | −0.436547 | − | 0.756121i | ||||
\(166\) | −3.82495 | + | 6.62501i | −0.296874 | + | 0.514201i | ||||
\(167\) | −16.1505 | −1.24976 | −0.624882 | − | 0.780719i | \(-0.714853\pi\) | ||||
−0.624882 | + | 0.780719i | \(0.714853\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.00000 | 0.0769231 | ||||||||
\(170\) | 2.70674 | − | 4.68821i | 0.207597 | − | 0.359569i | ||||
\(171\) | −22.1130 | − | 38.3008i | −1.69102 | − | 2.92894i | ||||
\(172\) | −2.99105 | − | 5.18065i | −0.228065 | − | 0.395021i | ||||
\(173\) | −7.92415 | + | 13.7250i | −0.602462 | + | 1.04349i | 0.389985 | + | 0.920821i | \(0.372480\pi\) |
−0.992447 | + | 0.122673i | \(0.960853\pi\) | |||||||
\(174\) | 10.6107 | 0.804393 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 18.4302 | 1.38923 | ||||||||
\(177\) | −4.66318 | + | 8.07687i | −0.350506 | + | 0.607094i | ||||
\(178\) | −0.390138 | − | 0.675740i | −0.0292421 | − | 0.0506488i | ||||
\(179\) | 10.2324 | + | 17.7230i | 0.764805 | + | 1.32468i | 0.940349 | + | 0.340210i | \(0.110498\pi\) |
−0.175544 | + | 0.984472i | \(0.556169\pi\) | |||||||
\(180\) | 5.27536 | − | 9.13719i | 0.393202 | − | 0.681046i | ||||
\(181\) | 6.58189 | 0.489228 | 0.244614 | − | 0.969621i | \(-0.421339\pi\) | ||||
0.244614 | + | 0.969621i | \(0.421339\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −30.2559 | −2.23658 | ||||||||
\(184\) | −2.53401 | + | 4.38903i | −0.186810 | + | 0.323564i | ||||
\(185\) | −2.09256 | − | 3.62442i | −0.153848 | − | 0.266472i | ||||
\(186\) | 23.6363 | + | 40.9393i | 1.73310 | + | 3.00182i | ||||
\(187\) | 6.47374 | − | 11.2129i | 0.473407 | − | 0.819965i | ||||
\(188\) | 5.41348 | 0.394819 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −8.70242 | −0.631340 | ||||||||
\(191\) | −6.37455 | + | 11.0410i | −0.461246 | + | 0.798902i | −0.999023 | − | 0.0441850i | \(-0.985931\pi\) |
0.537777 | + | 0.843087i | \(0.319264\pi\) | |||||||
\(192\) | 5.80161 | + | 10.0487i | 0.418695 | + | 0.725202i | ||||
\(193\) | −1.13380 | − | 1.96380i | −0.0816128 | − | 0.141358i | 0.822330 | − | 0.569011i | \(-0.192674\pi\) |
−0.903943 | + | 0.427653i | \(0.859340\pi\) | |||||||
\(194\) | −6.63984 | + | 11.5005i | −0.476713 | + | 0.825691i | ||||
\(195\) | 2.90081 | 0.207731 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −18.6978 | −1.33216 | −0.666081 | − | 0.745879i | \(-0.732030\pi\) | ||||
−0.666081 | + | 0.745879i | \(0.732030\pi\) | |||||||
\(198\) | 29.6363 | − | 51.3316i | 2.10616 | − | 3.64798i | ||||
\(199\) | 9.95876 | + | 17.2491i | 0.705957 | + | 1.22275i | 0.966345 | + | 0.257250i | \(0.0828164\pi\) |
−0.260387 | + | 0.965504i | \(0.583850\pi\) | |||||||
\(200\) | −2.05131 | − | 3.55298i | −0.145050 | − | 0.251234i | ||||
\(201\) | 12.8316 | − | 22.2250i | 0.905071 | − | 1.56763i | ||||
\(202\) | 26.3431 | 1.85349 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 16.6286 | 1.16423 | ||||||||
\(205\) | 1.76237 | − | 3.05252i | 0.123090 | − | 0.213197i | ||||
\(206\) | −15.7324 | − | 27.2493i | −1.09613 | − | 1.89855i | ||||
\(207\) | 21.5634 | + | 37.3489i | 1.49876 | + | 2.59593i | ||||
\(208\) | −2.38350 | + | 4.12835i | −0.165266 | + | 0.286249i | ||||
\(209\) | −20.8137 | −1.43971 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0.645277 | 0.0444227 | 0.0222114 | − | 0.999753i | \(-0.492929\pi\) | ||||
0.0222114 | + | 0.999753i | \(0.492929\pi\) | |||||||
\(212\) | 0.159458 | − | 0.276190i | 0.0109516 | − | 0.0189688i | ||||
\(213\) | −8.20614 | − | 14.2135i | −0.562276 | − | 0.973890i | ||||
\(214\) | −9.49940 | − | 16.4534i | −0.649366 | − | 1.12473i | ||||
\(215\) | 1.74739 | − | 3.02656i | 0.119171 | − | 0.206410i | ||||
\(216\) | −16.8604 | −1.14720 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −11.5761 | −0.784030 | ||||||||
\(219\) | 26.0311 | − | 45.0872i | 1.75902 | − | 3.04671i | ||||
\(220\) | −2.48270 | − | 4.30016i | −0.167383 | − | 0.289916i | ||||
\(221\) | 1.67445 | + | 2.90023i | 0.112636 | + | 0.195090i | ||||
\(222\) | 15.0980 | − | 26.1505i | 1.01331 | − | 1.75511i | ||||
\(223\) | −5.83159 | −0.390512 | −0.195256 | − | 0.980752i | \(-0.562554\pi\) | ||||
−0.195256 | + | 0.980752i | \(0.562554\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −34.9117 | −2.32745 | ||||||||
\(226\) | −9.59628 | + | 16.6212i | −0.638335 | + | 1.10563i | ||||
\(227\) | −7.86620 | − | 13.6247i | −0.522098 | − | 0.904300i | −0.999670 | − | 0.0257073i | \(-0.991816\pi\) |
0.477572 | − | 0.878593i | \(-0.341517\pi\) | |||||||
\(228\) | −13.3656 | − | 23.1499i | −0.885158 | − | 1.53314i | ||||
\(229\) | −4.43914 | + | 7.68881i | −0.293346 | + | 0.508091i | −0.974599 | − | 0.223958i | \(-0.928102\pi\) |
0.681252 | + | 0.732049i | \(0.261436\pi\) | |||||||
\(230\) | 8.48613 | 0.559559 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −1.63903 | −0.107608 | ||||||||
\(233\) | 5.89558 | − | 10.2114i | 0.386232 | − | 0.668974i | −0.605707 | − | 0.795688i | \(-0.707110\pi\) |
0.991939 | + | 0.126714i | \(0.0404431\pi\) | |||||||
\(234\) | 7.66550 | + | 13.2770i | 0.501109 | + | 0.867946i | ||||
\(235\) | 1.58129 | + | 2.73888i | 0.103152 | + | 0.178665i | ||||
\(236\) | −2.06459 | + | 3.57597i | −0.134393 | + | 0.232776i | ||||
\(237\) | 31.5807 | 2.05139 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −16.0692 | −1.03943 | −0.519716 | − | 0.854339i | \(-0.673962\pi\) | ||||
−0.519716 | + | 0.854339i | \(0.673962\pi\) | |||||||
\(240\) | −6.91408 | + | 11.9755i | −0.446302 | + | 0.773017i | ||||
\(241\) | 2.46771 | + | 4.27419i | 0.158959 | + | 0.275325i | 0.934494 | − | 0.355980i | \(-0.115853\pi\) |
−0.775535 | + | 0.631305i | \(0.782520\pi\) | |||||||
\(242\) | −3.68340 | − | 6.37983i | −0.236778 | − | 0.410111i | ||||
\(243\) | −30.4702 | + | 52.7760i | −1.95467 | + | 3.38558i | ||||
\(244\) | −13.3956 | −0.857564 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 25.4314 | 1.62145 | ||||||||
\(247\) | 2.69175 | − | 4.66225i | 0.171272 | − | 0.296652i | ||||
\(248\) | −3.65111 | − | 6.32390i | −0.231845 | − | 0.401568i | ||||
\(249\) | −6.86388 | − | 11.8886i | −0.434981 | − | 0.753409i | ||||
\(250\) | −7.47606 | + | 12.9489i | −0.472828 | + | 0.818961i | ||||
\(251\) | −15.2439 | −0.962185 | −0.481092 | − | 0.876670i | \(-0.659760\pi\) | ||||
−0.481092 | + | 0.876670i | \(0.659760\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 20.2964 | 1.27602 | ||||||||
\(254\) | 1.78491 | − | 3.09155i | 0.111995 | − | 0.193981i | ||||
\(255\) | 4.85725 | + | 8.41300i | 0.304173 | + | 0.526842i | ||||
\(256\) | −10.4302 | − | 18.0656i | −0.651887 | − | 1.12910i | ||||
\(257\) | −7.80825 | + | 13.5243i | −0.487065 | + | 0.843622i | −0.999889 | − | 0.0148720i | \(-0.995266\pi\) |
0.512824 | + | 0.858494i | \(0.328599\pi\) | |||||||
\(258\) | 25.2151 | 1.56982 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 1.28431 | 0.0796494 | ||||||||
\(261\) | −6.97374 | + | 12.0789i | −0.431664 | + | 0.747664i | ||||
\(262\) | 9.48270 | + | 16.4245i | 0.585843 | + | 1.01471i | ||||
\(263\) | −8.54668 | − | 14.8033i | −0.527011 | − | 0.912810i | −0.999505 | − | 0.0314757i | \(-0.989979\pi\) |
0.472493 | − | 0.881334i | \(-0.343354\pi\) | |||||||
\(264\) | −6.24970 | + | 10.8248i | −0.384642 | + | 0.666220i | ||||
\(265\) | 0.186313 | 0.0114451 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 1.40021 | 0.0856913 | ||||||||
\(268\) | 5.68108 | − | 9.83992i | 0.347027 | − | 0.601069i | ||||
\(269\) | 8.16841 | + | 14.1481i | 0.498037 | + | 0.862625i | 0.999997 | − | 0.00226550i | \(-0.000721131\pi\) |
−0.501961 | + | 0.864890i | \(0.667388\pi\) | |||||||
\(270\) | 14.1159 | + | 24.4495i | 0.859066 | + | 1.48795i | ||||
\(271\) | −6.24970 | + | 10.8248i | −0.379642 | + | 0.657560i | −0.991010 | − | 0.133787i | \(-0.957286\pi\) |
0.611368 | + | 0.791347i | \(0.290620\pi\) | |||||||
\(272\) | −15.9642 | −0.967971 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 14.5507 | 0.879041 | ||||||||
\(275\) | −8.21509 | + | 14.2290i | −0.495389 | + | 0.858038i | ||||
\(276\) | 13.0334 | + | 22.5745i | 0.784519 | + | 1.35883i | ||||
\(277\) | 1.50000 | + | 2.59808i | 0.0901263 | + | 0.156103i | 0.907564 | − | 0.419914i | \(-0.137940\pi\) |
−0.817438 | + | 0.576017i | \(0.804606\pi\) | |||||||
\(278\) | −4.74135 | + | 8.21226i | −0.284367 | + | 0.492538i | ||||
\(279\) | −62.1389 | −3.72016 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 0.831590 | 0.0496085 | 0.0248043 | − | 0.999692i | \(-0.492104\pi\) | ||||
0.0248043 | + | 0.999692i | \(0.492104\pi\) | |||||||
\(282\) | −11.4092 | + | 19.7612i | −0.679406 | + | 1.17676i | ||||
\(283\) | 5.52938 | + | 9.57716i | 0.328687 | + | 0.569303i | 0.982252 | − | 0.187568i | \(-0.0600604\pi\) |
−0.653564 | + | 0.756871i | \(0.726727\pi\) | |||||||
\(284\) | −3.63320 | − | 6.29289i | −0.215591 | − | 0.373414i | ||||
\(285\) | 7.80825 | − | 13.5243i | 0.462521 | − | 0.801109i | ||||
\(286\) | 7.21509 | 0.426637 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −57.2213 | −3.37180 | ||||||||
\(289\) | 2.89245 | − | 5.00988i | 0.170144 | − | 0.294699i | ||||
\(290\) | 1.37224 | + | 2.37678i | 0.0805804 | + | 0.139569i | ||||
\(291\) | −11.9152 | − | 20.6377i | −0.698481 | − | 1.20980i | ||||
\(292\) | 11.5251 | − | 19.9620i | 0.674453 | − | 1.16819i | ||||
\(293\) | 26.9175 | 1.57254 | 0.786269 | − | 0.617884i | \(-0.212010\pi\) | ||||
0.786269 | + | 0.617884i | \(0.212010\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −2.41228 | −0.140448 | ||||||||
\(296\) | −2.33219 | + | 4.03947i | −0.135556 | + | 0.234789i | ||||
\(297\) | 33.7612 | + | 58.4761i | 1.95902 | + | 3.39313i | ||||
\(298\) | 2.32787 | + | 4.03199i | 0.134850 | + | 0.233567i | ||||
\(299\) | −2.62485 | + | 4.54637i | −0.151799 | + | 0.262924i | ||||
\(300\) | −21.1014 | −1.21829 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −6.08712 | −0.350274 | ||||||||
\(303\) | −23.6363 | + | 40.9393i | −1.35787 | + | 2.35190i | ||||
\(304\) | 12.8316 | + | 22.2250i | 0.735942 | + | 1.27469i | ||||
\(305\) | −3.91288 | − | 6.77731i | −0.224051 | − | 0.388068i | ||||
\(306\) | −25.6709 | + | 44.4634i | −1.46751 | + | 2.54180i | ||||
\(307\) | 15.1580 | 0.865110 | 0.432555 | − | 0.901608i | \(-0.357612\pi\) | ||||
0.432555 | + | 0.901608i | \(0.357612\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 56.4636 | 3.21210 | ||||||||
\(310\) | −6.11358 | + | 10.5890i | −0.347228 | + | 0.601417i | ||||
\(311\) | 2.12253 | + | 3.67634i | 0.120358 | + | 0.208466i | 0.919909 | − | 0.392132i | \(-0.128262\pi\) |
−0.799551 | + | 0.600598i | \(0.794929\pi\) | |||||||
\(312\) | −1.61650 | − | 2.79986i | −0.0915162 | − | 0.158511i | ||||
\(313\) | 8.97666 | − | 15.5480i | 0.507391 | − | 0.878827i | −0.492573 | − | 0.870271i | \(-0.663943\pi\) |
0.999963 | − | 0.00855523i | \(-0.00272325\pi\) | |||||||
\(314\) | 1.34426 | 0.0758612 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 13.9821 | 0.786554 | ||||||||
\(317\) | 7.63320 | − | 13.2211i | 0.428723 | − | 0.742571i | −0.568037 | − | 0.823003i | \(-0.692297\pi\) |
0.996760 | + | 0.0804326i | \(0.0256302\pi\) | |||||||
\(318\) | 0.672132 | + | 1.16417i | 0.0376913 | + | 0.0652832i | ||||
\(319\) | 3.28199 | + | 5.68458i | 0.183756 | + | 0.318275i | ||||
\(320\) | −1.50060 | + | 2.59911i | −0.0838860 | + | 0.145295i | ||||
\(321\) | 34.0934 | 1.90291 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 18.0288 | 1.00315 | ||||||||
\(324\) | −25.0890 | + | 43.4555i | −1.39384 | + | 2.41419i | ||||
\(325\) | −2.12485 | − | 3.68035i | −0.117865 | − | 0.204149i | ||||
\(326\) | −1.21509 | − | 2.10460i | −0.0672977 | − | 0.116563i | ||||
\(327\) | 10.3866 | − | 17.9902i | 0.574382 | − | 0.994858i | ||||
\(328\) | −3.92839 | −0.216909 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 20.9296 | 1.15214 | ||||||||
\(331\) | −8.63320 | + | 14.9531i | −0.474524 | + | 0.821899i | −0.999574 | − | 0.0291717i | \(-0.990713\pi\) |
0.525051 | + | 0.851071i | \(0.324046\pi\) | |||||||
\(332\) | −3.03893 | − | 5.26358i | −0.166783 | − | 0.288876i | ||||
\(333\) | 19.8460 | + | 34.3742i | 1.08755 | + | 1.88370i | ||||
\(334\) | 15.0700 | − | 26.1020i | 0.824595 | − | 1.42824i | ||||
\(335\) | 6.63783 | 0.362664 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −25.5415 | −1.39133 | −0.695666 | − | 0.718366i | \(-0.744891\pi\) | ||||
−0.695666 | + | 0.718366i | \(0.744891\pi\) | |||||||
\(338\) | −0.933099 | + | 1.61618i | −0.0507539 | + | 0.0879083i | ||||
\(339\) | −17.2205 | − | 29.8268i | −0.935291 | − | 1.61997i | ||||
\(340\) | 2.15051 | + | 3.72479i | 0.116628 | + | 0.202005i | ||||
\(341\) | −14.6219 | + | 25.3259i | −0.791822 | + | 1.37148i | ||||
\(342\) | 82.5344 | 4.46295 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −3.89498 | −0.210003 | ||||||||
\(345\) | −7.61418 | + | 13.1882i | −0.409934 | + | 0.710026i | ||||
\(346\) | −14.7880 | − | 25.6136i | −0.795009 | − | 1.37700i | ||||
\(347\) | 6.31429 | + | 10.9367i | 0.338969 | + | 0.587111i | 0.984239 | − | 0.176843i | \(-0.0565886\pi\) |
−0.645270 | + | 0.763954i | \(0.723255\pi\) | |||||||
\(348\) | −4.21509 | + | 7.30075i | −0.225953 | + | 0.391362i | ||||
\(349\) | −35.6394 | −1.90774 | −0.953868 | − | 0.300226i | \(-0.902938\pi\) | ||||
−0.953868 | + | 0.300226i | \(0.902938\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −17.4648 | −0.932202 | ||||||||
\(352\) | −13.4648 | + | 23.3217i | −0.717676 | + | 1.24305i | ||||
\(353\) | 2.70674 | + | 4.68821i | 0.144065 | + | 0.249528i | 0.929024 | − | 0.370020i | \(-0.120649\pi\) |
−0.784959 | + | 0.619548i | \(0.787316\pi\) | |||||||
\(354\) | −8.70242 | − | 15.0730i | −0.462528 | − | 0.801123i | ||||
\(355\) | 2.12253 | − | 3.67634i | 0.112652 | − | 0.195120i | ||||
\(356\) | 0.619931 | 0.0328563 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −38.1914 | −2.01848 | ||||||||
\(359\) | 9.41580 | − | 16.3086i | 0.496947 | − | 0.860737i | −0.503047 | − | 0.864259i | \(-0.667788\pi\) |
0.999994 | + | 0.00352211i | \(0.00112113\pi\) | |||||||
\(360\) | −3.43482 | − | 5.94928i | −0.181031 | − | 0.313554i | ||||
\(361\) | −4.99105 | − | 8.64475i | −0.262687 | − | 0.454987i | ||||
\(362\) | −6.14156 | + | 10.6375i | −0.322793 | + | 0.559094i | ||||
\(363\) | 13.2197 | 0.693856 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 13.4660 | 0.704842 | ||||||||
\(366\) | 28.2318 | − | 48.8989i | 1.47570 | − | 2.55599i | ||||
\(367\) | −11.5753 | − | 20.0489i | −0.604223 | − | 1.04655i | −0.992174 | − | 0.124865i | \(-0.960150\pi\) |
0.387950 | − | 0.921680i | \(-0.373183\pi\) | |||||||
\(368\) | −12.5127 | − | 21.6726i | −0.652268 | − | 1.12976i | ||||
\(369\) | −16.7145 | + | 28.9504i | −0.870122 | + | 1.50710i | ||||
\(370\) | 7.81025 | 0.406036 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −37.5582 | −1.94730 | ||||||||
\(373\) | 16.5896 | − | 28.7341i | 0.858979 | − | 1.48780i | −0.0139245 | − | 0.999903i | \(-0.504432\pi\) |
0.872904 | − | 0.487893i | \(-0.162234\pi\) | |||||||
\(374\) | 12.0813 | + | 20.9254i | 0.624709 | + | 1.08203i | ||||
\(375\) | −13.4158 | − | 23.2368i | −0.692789 | − | 1.19995i | ||||
\(376\) | 1.76237 | − | 3.05252i | 0.0908875 | − | 0.157422i | ||||
\(377\) | −1.69779 | −0.0874406 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 37.7853 | 1.94090 | 0.970451 | − | 0.241299i | \(-0.0775733\pi\) | ||||
0.970451 | + | 0.241299i | \(0.0775733\pi\) | |||||||
\(380\) | 3.45704 | − | 5.98777i | 0.177342 | − | 0.307166i | ||||
\(381\) | 3.20302 | + | 5.54779i | 0.164096 | + | 0.284222i | ||||
\(382\) | −11.8962 | − | 20.6048i | −0.608661 | − | 1.05423i | ||||
\(383\) | 0.115899 | − | 0.200743i | 0.00592215 | − | 0.0102575i | −0.863049 | − | 0.505120i | \(-0.831448\pi\) |
0.868971 | + | 0.494862i | \(0.164782\pi\) | |||||||
\(384\) | 24.9988 | 1.27571 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 4.23180 | 0.215393 | ||||||||
\(387\) | −16.5723 | + | 28.7041i | −0.842419 | + | 1.45911i | ||||
\(388\) | −5.27536 | − | 9.13719i | −0.267816 | − | 0.463870i | ||||
\(389\) | −4.67676 | − | 8.10039i | −0.237121 | − | 0.410706i | 0.722766 | − | 0.691093i | \(-0.242871\pi\) |
−0.959887 | + | 0.280387i | \(0.909537\pi\) | |||||||
\(390\) | −2.70674 | + | 4.68821i | −0.137061 | + | 0.237397i | ||||
\(391\) | −17.5807 | −0.889094 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −34.0334 | −1.71676 | ||||||||
\(394\) | 17.4469 | − | 30.2189i | 0.878962 | − | 1.52241i | ||||
\(395\) | 4.08420 | + | 7.07405i | 0.205499 | + | 0.355934i | ||||
\(396\) | 23.5461 | + | 40.7830i | 1.18324 | + | 2.04942i | ||||
\(397\) | 4.87224 | − | 8.43896i | 0.244530 | − | 0.423539i | −0.717469 | − | 0.696590i | \(-0.754700\pi\) |
0.962000 | + | 0.273051i | \(0.0880328\pi\) | |||||||
\(398\) | −37.1700 | −1.86317 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 20.2583 | 1.01292 | ||||||||
\(401\) | −4.86620 | + | 8.42850i | −0.243006 | + | 0.420899i | −0.961569 | − | 0.274563i | \(-0.911467\pi\) |
0.718563 | + | 0.695462i | \(0.244800\pi\) | |||||||
\(402\) | 23.9463 | + | 41.4762i | 1.19433 | + | 2.06864i | ||||
\(403\) | −3.78199 | − | 6.55060i | −0.188395 | − | 0.326309i | ||||
\(404\) | −10.4648 | + | 18.1256i | −0.520643 | + | 0.901780i | ||||
\(405\) | −29.3143 | −1.45664 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 18.6799 | 0.925928 | ||||||||
\(408\) | 5.41348 | − | 9.37642i | 0.268007 | − | 0.464202i | ||||
\(409\) | −6.18652 | − | 10.7154i | −0.305904 | − | 0.529841i | 0.671558 | − | 0.740952i | \(-0.265625\pi\) |
−0.977462 | + | 0.211111i | \(0.932292\pi\) | |||||||
\(410\) | 3.28894 | + | 5.69661i | 0.162429 | + | 0.281336i | ||||
\(411\) | −13.0556 | + | 22.6130i | −0.643987 | + | 1.11542i | ||||
\(412\) | 24.9988 | 1.23160 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −80.4831 | −3.95553 | ||||||||
\(415\) | 1.77536 | − | 3.07501i | 0.0871489 | − | 0.150946i | ||||
\(416\) | −3.48270 | − | 6.03221i | −0.170753 | − | 0.295753i | ||||
\(417\) | −8.50835 | − | 14.7369i | −0.416656 | − | 0.721669i | ||||
\(418\) | 19.4212 | − | 33.6386i | 0.949924 | − | 1.64532i | ||||
\(419\) | 21.1054 | 1.03107 | 0.515534 | − | 0.856869i | \(-0.327594\pi\) | ||||
0.515534 | + | 0.856869i | \(0.327594\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 23.2618 | 1.13371 | 0.566855 | − | 0.823818i | \(-0.308160\pi\) | ||||
0.566855 | + | 0.823818i | \(0.308160\pi\) | |||||||
\(422\) | −0.602108 | + | 1.04288i | −0.0293102 | + | 0.0507667i | ||||
\(423\) | −14.9971 | − | 25.9757i | −0.729183 | − | 1.26298i | ||||
\(424\) | −0.103824 | − | 0.179829i | −0.00504215 | − | 0.00873326i | ||||
\(425\) | 7.11590 | − | 12.3251i | 0.345172 | − | 0.597855i | ||||
\(426\) | 30.6286 | 1.48396 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 15.0946 | 0.729623 | ||||||||
\(429\) | −6.47374 | + | 11.2129i | −0.312555 | + | 0.541362i | ||||
\(430\) | 3.26097 | + | 5.64816i | 0.157258 | + | 0.272379i | ||||
\(431\) | 8.49477 | + | 14.7134i | 0.409179 | + | 0.708718i | 0.994798 | − | 0.101868i | \(-0.0324819\pi\) |
−0.585619 | + | 0.810586i | \(0.699149\pi\) | |||||||
\(432\) | 41.6274 | − | 72.1007i | 2.00280 | − | 3.46895i | ||||
\(433\) | −30.8604 | −1.48305 | −0.741527 | − | 0.670923i | \(-0.765898\pi\) | ||||
−0.741527 | + | 0.670923i | \(0.765898\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −4.92496 | −0.236134 | ||||||||
\(436\) | 4.59859 | − | 7.96500i | 0.220233 | − | 0.381454i | ||||
\(437\) | 14.1309 | + | 24.4754i | 0.675972 | + | 1.17082i | ||||
\(438\) | 48.5792 | + | 84.1416i | 2.32120 | + | 4.02044i | ||||
\(439\) | −9.59859 | + | 16.6253i | −0.458116 | + | 0.793480i | −0.998861 | − | 0.0477062i | \(-0.984809\pi\) |
0.540745 | + | 0.841186i | \(0.318142\pi\) | |||||||
\(440\) | −3.23300 | −0.154127 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −6.24970 | −0.297268 | ||||||||
\(443\) | 17.1888 | − | 29.7719i | 0.816666 | − | 1.41451i | −0.0914589 | − | 0.995809i | \(-0.529153\pi\) |
0.908125 | − | 0.418699i | \(-0.137514\pi\) | |||||||
\(444\) | 11.9954 | + | 20.7766i | 0.569275 | + | 0.986013i | ||||
\(445\) | 0.181083 | + | 0.313645i | 0.00858417 | + | 0.0148682i | ||||
\(446\) | 5.44145 | − | 9.42487i | 0.257660 | − | 0.446281i | ||||
\(447\) | −8.35472 | −0.395165 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 29.6274 | 1.39820 | 0.699101 | − | 0.715023i | \(-0.253584\pi\) | ||||
0.699101 | + | 0.715023i | \(0.253584\pi\) | |||||||
\(450\) | 32.5761 | − | 56.4234i | 1.53565 | − | 2.65982i | ||||
\(451\) | 7.86620 | + | 13.6247i | 0.370405 | + | 0.641560i | ||||
\(452\) | −7.62425 | − | 13.2056i | −0.358615 | − | 0.621139i | ||||
\(453\) | 5.46167 | − | 9.45989i | 0.256612 | − | 0.444464i | ||||
\(454\) | 29.3598 | 1.37792 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −17.4048 | −0.815056 | ||||||||
\(457\) | 8.51962 | − | 14.7564i | 0.398531 | − | 0.690276i | −0.595014 | − | 0.803715i | \(-0.702853\pi\) |
0.993545 | + | 0.113439i | \(0.0361868\pi\) | |||||||
\(458\) | −8.28431 | − | 14.3488i | −0.387100 | − | 0.670477i | ||||
\(459\) | −29.2439 | − | 50.6519i | −1.36499 | − | 2.36423i | ||||
\(460\) | −3.37112 | + | 5.83895i | −0.157179 | + | 0.272242i | ||||
\(461\) | 15.1280 | 0.704580 | 0.352290 | − | 0.935891i | \(-0.385403\pi\) | ||||
0.352290 | + | 0.935891i | \(0.385403\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 26.1221 | 1.21400 | 0.607000 | − | 0.794702i | \(-0.292373\pi\) | ||||
0.607000 | + | 0.794702i | \(0.292373\pi\) | |||||||
\(464\) | 4.04668 | − | 7.00906i | 0.187863 | − | 0.325387i | ||||
\(465\) | −10.9708 | − | 19.0020i | −0.508760 | − | 0.881198i | ||||
\(466\) | 11.0023 | + | 19.0566i | 0.509672 | + | 0.882779i | ||||
\(467\) | −11.4594 | + | 19.8482i | −0.530276 | + | 0.918464i | 0.469100 | + | 0.883145i | \(0.344578\pi\) |
−0.999376 | + | 0.0353196i | \(0.988755\pi\) | |||||||
\(468\) | −12.1805 | −0.563043 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −5.90200 | −0.272239 | ||||||||
\(471\) | −1.20614 | + | 2.08910i | −0.0555760 | + | 0.0962605i | ||||
\(472\) | 1.34426 | + | 2.32833i | 0.0618747 | + | 0.107170i | ||||
\(473\) | 7.79930 | + | 13.5088i | 0.358612 | + | 0.621134i | ||||
\(474\) | −29.4679 | + | 51.0399i | −1.35351 | + | 2.34434i | ||||
\(475\) | −22.8783 | −1.04973 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −1.76700 | −0.0809056 | ||||||||
\(478\) | 14.9942 | − | 25.9707i | 0.685817 | − | 1.18787i | ||||
\(479\) | −17.5957 | − | 30.4766i | −0.803967 | − | 1.39251i | −0.916986 | − | 0.398919i | \(-0.869385\pi\) |
0.113019 | − | 0.993593i | \(-0.463948\pi\) | |||||||
\(480\) | −10.1026 | − | 17.4983i | −0.461120 | − | 0.798683i | ||||
\(481\) | −2.41580 | + | 4.18428i | −0.110151 | + | 0.190787i | ||||
\(482\) | −9.21046 | −0.419525 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 5.85293 | 0.266042 | ||||||||
\(485\) | 3.08189 | − | 5.33799i | 0.139941 | − | 0.242386i | ||||
\(486\) | −56.8635 | − | 98.4905i | −2.57938 | − | 4.46762i | ||||
\(487\) | 14.1505 | + | 24.5094i | 0.641221 | + | 1.11063i | 0.985161 | + | 0.171635i | \(0.0549050\pi\) |
−0.343940 | + | 0.938992i | \(0.611762\pi\) | |||||||
\(488\) | −4.36097 | + | 7.55342i | −0.197412 | + | 0.341927i | ||||
\(489\) | 4.36097 | 0.197210 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 8.24970 | 0.372304 | 0.186152 | − | 0.982521i | \(-0.440398\pi\) | ||||
0.186152 | + | 0.982521i | \(0.440398\pi\) | |||||||
\(492\) | −10.1026 | + | 17.4983i | −0.455462 | + | 0.788883i | ||||
\(493\) | −2.84286 | − | 4.92397i | −0.128036 | − | 0.221765i | ||||
\(494\) | 5.02334 | + | 8.70068i | 0.226011 | + | 0.391462i | ||||
\(495\) | −13.7557 | + | 23.8256i | −0.618274 | + | 1.07088i | ||||
\(496\) | 36.0576 | 1.61903 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 25.6187 | 1.14800 | ||||||||
\(499\) | 8.36328 | − | 14.4856i | 0.374392 | − | 0.648466i | −0.615844 | − | 0.787868i | \(-0.711185\pi\) |
0.990236 | + | 0.139402i | \(0.0445181\pi\) | |||||||
\(500\) | −5.93974 | − | 10.2879i | −0.265633 | − | 0.460090i | ||||
\(501\) | 27.0432 | + | 46.8401i | 1.20820 | + | 2.09266i | ||||
\(502\) | 14.2240 | − | 24.6368i | 0.634850 | − | 1.09959i | ||||
\(503\) | 21.2213 | 0.946213 | 0.473106 | − | 0.881005i | \(-0.343133\pi\) | ||||
0.473106 | + | 0.881005i | \(0.343133\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −12.2272 | −0.544102 | ||||||||
\(506\) | −18.9385 | + | 32.8025i | −0.841921 | + | 1.45825i | ||||
\(507\) | −1.67445 | − | 2.90023i | −0.0743648 | − | 0.128804i | ||||
\(508\) | 1.41811 | + | 2.45624i | 0.0629185 | + | 0.108978i | ||||
\(509\) | 20.3024 | − | 35.1648i | 0.899889 | − | 1.55865i | 0.0722543 | − | 0.997386i | \(-0.476981\pi\) |
0.827635 | − | 0.561267i | \(-0.189686\pi\) | |||||||
\(510\) | −18.1292 | −0.802773 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 24.0000 | 1.06066 | ||||||||
\(513\) | −47.0109 | + | 81.4252i | −2.07558 | + | 3.59501i | ||||
\(514\) | −14.5717 | − | 25.2390i | −0.642732 | − | 1.11324i | ||||
\(515\) | 7.30221 | + | 12.6478i | 0.321774 | + | 0.557329i | ||||
\(516\) | −10.0167 | + | 17.3494i | −0.440961 | + | 0.763767i | ||||
\(517\) | −14.1159 | −0.620817 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 53.0743 | 2.32970 | ||||||||
\(520\) | 0.418110 | − | 0.724188i | 0.0183354 | − | 0.0317578i | ||||
\(521\) | −1.73240 | − | 3.00060i | −0.0758977 | − | 0.131459i | 0.825579 | − | 0.564287i | \(-0.190849\pi\) |
−0.901476 | + | 0.432828i | \(0.857516\pi\) | |||||||
\(522\) | −13.0144 | − | 22.5416i | −0.569624 | − | 0.986618i | ||||
\(523\) | −2.78491 | + | 4.82360i | −0.121776 | + | 0.210921i | −0.920468 | − | 0.390818i | \(-0.872192\pi\) |
0.798692 | + | 0.601740i | \(0.205525\pi\) | |||||||
\(524\) | −15.0680 | −0.658249 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 31.8996 | 1.39089 | ||||||||
\(527\) | 12.6655 | − | 21.9373i | 0.551718 | − | 0.955603i | ||||
\(528\) | −30.8604 | − | 53.4517i | −1.34303 | − | 2.32619i | ||||
\(529\) | −2.27968 | − | 3.94852i | −0.0991164 | − | 0.171675i | ||||
\(530\) | −0.173848 | + | 0.301114i | −0.00755149 | + | 0.0130796i | ||||
\(531\) | 22.8783 | 0.992832 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −4.06922 | −0.176257 | ||||||||
\(534\) | −1.30653 | + | 2.26298i | −0.0565392 | + | 0.0979287i | ||||
\(535\) | 4.40916 | + | 7.63689i | 0.190625 | + | 0.330171i | ||||
\(536\) | −3.69899 | − | 6.40683i | −0.159772 | − | 0.276733i | ||||
\(537\) | 34.2672 | − | 59.3526i | 1.47874 | − | 2.56125i | ||||
\(538\) | −30.4877 | −1.31442 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −22.4302 | −0.965241 | ||||||||
\(541\) | −12.1182 | + | 20.9894i | −0.521003 | + | 0.902403i | 0.478699 | + | 0.877979i | \(0.341109\pi\) |
−0.999702 | + | 0.0244241i | \(0.992225\pi\) | |||||||
\(542\) | −11.6632 | − | 20.2012i | −0.500976 | − | 0.867717i | ||||
\(543\) | −11.0210 | − | 19.0890i | −0.472957 | − | 0.819186i | ||||
\(544\) | 11.6632 | − | 20.2012i | 0.500055 | − | 0.866120i | ||||
\(545\) | 5.37304 | 0.230156 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 15.7733 | 0.674416 | 0.337208 | − | 0.941430i | \(-0.390518\pi\) | ||||
0.337208 | + | 0.941430i | \(0.390518\pi\) | |||||||
\(548\) | −5.78028 | + | 10.0117i | −0.246921 | + | 0.427680i | ||||
\(549\) | 37.1101 | + | 64.2765i | 1.58382 | + | 2.74326i | ||||
\(550\) | −15.3310 | − | 26.5541i | −0.653716 | − | 1.13227i | ||||
\(551\) | −4.57002 | + | 7.91551i | −0.194690 | + | 0.337212i | ||||
\(552\) | 16.9723 | 0.722387 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −5.59859 | −0.237861 | ||||||||
\(555\) | −7.00775 | + | 12.1378i | −0.297463 | + | 0.515220i | ||||
\(556\) | −3.76700 | − | 6.52464i | −0.159757 | − | 0.276707i | ||||
\(557\) | 8.61067 | + | 14.9141i | 0.364846 | + | 0.631931i | 0.988751 | − | 0.149568i | \(-0.0477884\pi\) |
−0.623906 | + | 0.781500i | \(0.714455\pi\) | |||||||
\(558\) | 57.9817 | − | 100.427i | 2.45456 | − | 4.25143i | ||||
\(559\) | −4.03461 | −0.170646 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −43.3598 | −1.83065 | ||||||||
\(562\) | −0.775956 | + | 1.34400i | −0.0327317 | + | 0.0566930i | ||||
\(563\) | 7.67989 | + | 13.3020i | 0.323669 | + | 0.560610i | 0.981242 | − | 0.192780i | \(-0.0617504\pi\) |
−0.657573 | + | 0.753390i | \(0.728417\pi\) | |||||||
\(564\) | −9.06459 | − | 15.7003i | −0.381688 | − | 0.661103i | ||||
\(565\) | 4.45413 | − | 7.71477i | 0.187386 | − | 0.324563i | ||||
\(566\) | −20.6378 | −0.867473 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −4.73120 | −0.198517 | ||||||||
\(569\) | −11.8610 | + | 20.5438i | −0.497238 | + | 0.861241i | −0.999995 | − | 0.00318672i | \(-0.998986\pi\) |
0.502757 | + | 0.864428i | \(0.332319\pi\) | |||||||
\(570\) | 14.5717 | + | 25.2390i | 0.610343 | + | 1.05715i | ||||
\(571\) | 13.6595 | + | 23.6589i | 0.571631 | + | 0.990093i | 0.996399 | + | 0.0847910i | \(0.0270223\pi\) |
−0.424768 | + | 0.905302i | \(0.639644\pi\) | |||||||
\(572\) | −2.86620 | + | 4.96440i | −0.119842 | + | 0.207572i | ||||
\(573\) | 42.6954 | 1.78363 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 22.3097 | 0.930377 | ||||||||
\(576\) | 14.2318 | − | 24.6502i | 0.592992 | − | 1.02709i | ||||
\(577\) | 11.6332 | + | 20.1493i | 0.484297 | + | 0.838826i | 0.999837 | − | 0.0180388i | \(-0.00574224\pi\) |
−0.515541 | + | 0.856865i | \(0.672409\pi\) | |||||||
\(578\) | 5.39789 | + | 9.34942i | 0.224523 | + | 0.388885i | ||||
\(579\) | −3.79698 | + | 6.57657i | −0.157797 | + | 0.273313i | ||||
\(580\) | −2.18048 | −0.0905397 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 44.4722 | 1.84343 | ||||||||
\(583\) | −0.415795 | + | 0.720178i | −0.0172205 | + | 0.0298267i | ||||
\(584\) | −7.50403 | − | 12.9974i | −0.310519 | − | 0.537835i | ||||
\(585\) | −3.55795 | − | 6.16255i | −0.147103 | − | 0.254790i | ||||
\(586\) | −25.1167 | + | 43.5034i | −1.03756 | + | 1.79711i | ||||
\(587\) | 45.7266 | 1.88734 | 0.943669 | − | 0.330892i | \(-0.107349\pi\) | ||||
0.943669 | + | 0.330892i | \(0.107349\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −40.7207 | −1.67787 | ||||||||
\(590\) | 2.25090 | − | 3.89867i | 0.0926680 | − | 0.160506i | ||||
\(591\) | 31.3085 | + | 54.2278i | 1.28786 | + | 2.23064i | ||||
\(592\) | −11.5161 | − | 19.9465i | −0.473309 | − | 0.819795i | ||||
\(593\) | −14.6949 | + | 25.4523i | −0.603446 | + | 1.04520i | 0.388849 | + | 0.921302i | \(0.372873\pi\) |
−0.992295 | + | 0.123898i | \(0.960460\pi\) | |||||||
\(594\) | −126.010 | −5.17026 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −3.69899 | −0.151516 | ||||||||
\(597\) | 33.3508 | − | 57.7653i | 1.36496 | − | 2.36418i | ||||
\(598\) | −4.89849 | − | 8.48444i | −0.200314 | − | 0.346954i | ||||
\(599\) | −11.0294 | − | 19.1034i | −0.450648 | − | 0.780546i | 0.547778 | − | 0.836624i | \(-0.315474\pi\) |
−0.998426 | + | 0.0560780i | \(0.982140\pi\) | |||||||
\(600\) | −6.86963 | + | 11.8986i | −0.280452 | + | 0.485756i | ||||
\(601\) | −30.8604 | −1.25882 | −0.629410 | − | 0.777073i | \(-0.716704\pi\) | ||||
−0.629410 | + | 0.777073i | \(0.716704\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −62.9537 | −2.56367 | ||||||||
\(604\) | 2.41811 | − | 4.18829i | 0.0983915 | − | 0.170419i | ||||
\(605\) | 1.70965 | + | 2.96121i | 0.0695073 | + | 0.120390i | ||||
\(606\) | −44.1101 | − | 76.4009i | −1.79185 | − | 3.10357i | ||||
\(607\) | 18.2431 | − | 31.5979i | 0.740463 | − | 1.28252i | −0.211821 | − | 0.977308i | \(-0.567940\pi\) |
0.952285 | − | 0.305211i | \(-0.0987271\pi\) | |||||||
\(608\) | −37.4982 | −1.52075 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 14.6044 | 0.591316 | ||||||||
\(611\) | 1.82555 | − | 3.16195i | 0.0738540 | − | 0.127919i | ||||
\(612\) | −20.3956 | − | 35.3262i | −0.824442 | − | 1.42798i | ||||
\(613\) | −14.4994 | − | 25.1137i | −0.585625 | − | 1.01433i | −0.994797 | − | 0.101875i | \(-0.967516\pi\) |
0.409172 | − | 0.912457i | \(-0.365818\pi\) | |||||||
\(614\) | −14.1439 | + | 24.4979i | −0.570800 | + | 0.988655i | ||||
\(615\) | −11.8040 | −0.475984 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −41.6515 | −1.67683 | −0.838414 | − | 0.545035i | \(-0.816517\pi\) | ||||
−0.838414 | + | 0.545035i | \(0.816517\pi\) | |||||||
\(618\) | −52.6861 | + | 91.2551i | −2.11935 | + | 3.67082i | ||||
\(619\) | 6.24970 | + | 10.8248i | 0.251197 | + | 0.435085i | 0.963856 | − | 0.266425i | \(-0.0858426\pi\) |
−0.712659 | + | 0.701511i | \(0.752509\pi\) | |||||||
\(620\) | −4.85725 | − | 8.41300i | −0.195072 | − | 0.337874i | ||||
\(621\) | 45.8425 | − | 79.4015i | 1.83959 | − | 3.18627i | ||||
\(622\) | −7.92214 | −0.317649 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 15.9642 | 0.639079 | ||||||||
\(625\) | −7.15423 | + | 12.3915i | −0.286169 | + | 0.495660i | ||||
\(626\) | 16.7522 | + | 29.0157i | 0.669554 | + | 1.15970i | ||||
\(627\) | 34.8514 | + | 60.3644i | 1.39183 | + | 2.41072i | ||||
\(628\) | −0.534009 | + | 0.924931i | −0.0213093 | + | 0.0369088i | ||||
\(629\) | −16.1805 | −0.645158 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −35.5582 | −1.41555 | −0.707774 | − | 0.706439i | \(-0.750300\pi\) | ||||
−0.707774 | + | 0.706439i | \(0.750300\pi\) | |||||||
\(632\) | 4.55191 | − | 7.88414i | 0.181065 | − | 0.313614i | ||||
\(633\) | −1.08048 | − | 1.87145i | −0.0429453 | − | 0.0743835i | ||||
\(634\) | 14.2451 | + | 24.6732i | 0.565744 | + | 0.979897i | ||||
\(635\) | −0.828467 | + | 1.43495i | −0.0328767 | + | 0.0569441i | ||||
\(636\) | −1.06802 | −0.0423497 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −12.2497 | −0.484970 | ||||||||
\(639\) | −20.1303 | + | 34.8667i | −0.796342 | + | 1.37930i | ||||
\(640\) | 3.23300 | + | 5.59971i | 0.127795 | + | 0.221348i | ||||
\(641\) | −0.680484 | − | 1.17863i | −0.0268775 | − | 0.0465532i | 0.852274 | − | 0.523096i | \(-0.175223\pi\) |
−0.879151 | + | 0.476543i | \(0.841890\pi\) | |||||||
\(642\) | −31.8125 | + | 55.1008i | −1.25554 | + | 2.17466i | ||||
\(643\) | −12.1867 | −0.480598 | −0.240299 | − | 0.970699i | \(-0.577245\pi\) | ||||
−0.240299 | + | 0.970699i | \(0.577245\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −11.7036 | −0.460829 | ||||||||
\(646\) | −16.8226 | + | 29.1377i | −0.661878 | + | 1.14641i | ||||
\(647\) | −1.86076 | − | 3.22293i | −0.0731540 | − | 0.126706i | 0.827128 | − | 0.562014i | \(-0.189973\pi\) |
−0.900282 | + | 0.435307i | \(0.856640\pi\) | |||||||
\(648\) | 16.3356 | + | 28.2941i | 0.641724 | + | 1.11150i | ||||
\(649\) | 5.38350 | − | 9.32450i | 0.211321 | − | 0.366019i | ||||
\(650\) | 7.93078 | 0.311071 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 1.93078 | 0.0756153 | ||||||||
\(653\) | 22.5294 | − | 39.0220i | 0.881643 | − | 1.52705i | 0.0321288 | − | 0.999484i | \(-0.489771\pi\) |
0.849514 | − | 0.527566i | \(-0.176895\pi\) | |||||||
\(654\) | 19.3835 | + | 33.5732i | 0.757955 | + | 1.31282i | ||||
\(655\) | −4.40141 | − | 7.62346i | −0.171977 | − | 0.297873i | ||||
\(656\) | 9.69899 | − | 16.7991i | 0.378682 | − | 0.655896i | ||||
\(657\) | −127.713 | −4.98254 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 5.37887 | 0.209531 | 0.104766 | − | 0.994497i | \(-0.466591\pi\) | ||||
0.104766 | + | 0.994497i | \(0.466591\pi\) | |||||||
\(660\) | −8.31429 | + | 14.4008i | −0.323633 | + | 0.560549i | ||||
\(661\) | −21.2468 | − | 36.8005i | −0.826404 | − | 1.43137i | −0.900841 | − | 0.434148i | \(-0.857049\pi\) |
0.0744372 | − | 0.997226i | \(-0.476284\pi\) | |||||||
\(662\) | −16.1113 | − | 27.9055i | −0.626182 | − | 1.08458i | ||||
\(663\) | 5.60755 | − | 9.71255i | 0.217779 | − | 0.377204i | ||||
\(664\) | −3.95733 | −0.153574 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −74.0731 | −2.87027 | ||||||||
\(667\) | 4.45644 | − | 7.71878i | 0.172554 | − | 0.298872i | ||||
\(668\) | 11.9731 | + | 20.7381i | 0.463255 | + | 0.802381i | ||||
\(669\) | 9.76469 | + | 16.9129i | 0.377525 | + | 0.653892i | ||||
\(670\) | −6.19376 | + | 10.7279i | −0.239286 | + | 0.414455i | ||||
\(671\) | 34.9296 | 1.34844 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −37.3765 | −1.44076 | −0.720379 | − | 0.693581i | \(-0.756032\pi\) | ||||
−0.720379 | + | 0.693581i | \(0.756032\pi\) | |||||||
\(674\) | 23.8327 | − | 41.2795i | 0.918002 | − | 1.59003i | ||||
\(675\) | 37.1101 | + | 64.2765i | 1.42837 | + | 2.47400i | ||||
\(676\) | −0.741348 | − | 1.28405i | −0.0285134 | − | 0.0493866i | ||||
\(677\) | −21.7378 | + | 37.6510i | −0.835453 | + | 1.44705i | 0.0582083 | + | 0.998304i | \(0.481461\pi\) |
−0.893661 | + | 0.448742i | \(0.851872\pi\) | |||||||
\(678\) | 64.2738 | 2.46842 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 2.80041 | 0.107391 | ||||||||
\(681\) | −26.3431 | + | 45.6275i | −1.00947 | + | 1.74845i | ||||
\(682\) | −27.2874 | − | 47.2632i | −1.04489 | − | 1.80980i | ||||
\(683\) | −15.6978 | − | 27.1894i | −0.600659 | − | 1.04037i | −0.992721 | − | 0.120434i | \(-0.961572\pi\) |
0.392062 | − | 0.919939i | \(-0.371762\pi\) | |||||||
\(684\) | −32.7868 | + | 56.7885i | −1.25364 | + | 2.17136i | ||||
\(685\) | −6.75373 | −0.258047 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 29.7324 | 1.13436 | ||||||||
\(688\) | 9.61650 | − | 16.6563i | 0.366626 | − | 0.635014i | ||||
\(689\) | −0.107546 | − | 0.186276i | −0.00409719 | − | 0.00709653i | ||||
\(690\) | −14.2096 | − | 24.6117i | −0.540949 | − | 0.936952i | ||||
\(691\) | 6.72053 | − | 11.6403i | 0.255661 | − | 0.442818i | −0.709414 | − | 0.704792i | \(-0.751040\pi\) |
0.965075 | + | 0.261974i | \(0.0843736\pi\) | |||||||
\(692\) | 23.4982 | 0.893268 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −23.5674 | −0.894607 | ||||||||
\(695\) | 2.20070 | − | 3.81173i | 0.0834774 | − | 0.144587i | ||||
\(696\) | 2.74447 | + | 4.75356i | 0.104029 | + | 0.180183i | ||||
\(697\) | −6.81369 | − | 11.8017i | −0.258087 | − | 0.447019i | ||||
\(698\) | 33.2551 | − | 57.5996i | 1.25873 | − | 2.18018i | ||||
\(699\) | −39.4873 | −1.49355 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −28.0346 | −1.05885 | −0.529426 | − | 0.848356i | \(-0.677593\pi\) | ||||
−0.529426 | + | 0.848356i | \(0.677593\pi\) | |||||||
\(702\) | 16.2964 | − | 28.2262i | 0.615067 | − | 1.06533i | ||||
\(703\) | 13.0054 | + | 22.5261i | 0.490509 | + | 0.849587i | ||||
\(704\) | −6.69779 | − | 11.6009i | −0.252432 | − | 0.437226i | ||||
\(705\) | 5.29558 | − | 9.17221i | 0.199443 | − | 0.345445i | ||||
\(706\) | −10.1026 | −0.380217 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 13.8282 | 0.519694 | ||||||||
\(709\) | 20.1424 | − | 34.8876i | 0.756462 | − | 1.31023i | −0.188182 | − | 0.982134i | \(-0.560259\pi\) |
0.944644 | − | 0.328097i | \(-0.106407\pi\) | |||||||
\(710\) | 3.96107 | + | 6.86078i | 0.148656 | + | 0.257480i | ||||
\(711\) | −38.7349 | − | 67.0909i | −1.45267 | − | 2.51610i | ||||
\(712\) | 0.201820 | − | 0.349563i | 0.00756353 | − | 0.0131004i | ||||
\(713\) | 39.7087 | 1.48710 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −3.34889 | −0.125242 | ||||||||
\(716\) | 15.1715 | − | 26.2779i | 0.566987 | − | 0.982050i | ||||
\(717\) | 26.9071 | + | 46.6044i | 1.00486 | + | 1.74047i | ||||
\(718\) | 17.5717 | + | 30.4351i | 0.655772 | + | 1.13583i | ||||
\(719\) | 8.37224 | − | 14.5011i | 0.312232 | − | 0.540801i | −0.666613 | − | 0.745404i | \(-0.732257\pi\) |
0.978845 | + | 0.204602i | \(0.0655901\pi\) | |||||||
\(720\) | 33.9215 | 1.26418 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 18.6286 | 0.693284 | ||||||||
\(723\) | 8.26409 | − | 14.3138i | 0.307345 | − | 0.532337i | ||||
\(724\) | −4.87947 | − | 8.45149i | −0.181344 | − | 0.314097i | ||||
\(725\) | 3.60755 | + | 6.24845i | 0.133981 | + | 0.232062i | ||||
\(726\) | −12.3353 | + | 21.3654i | −0.457806 | + | 0.792944i | ||||
\(727\) | −51.4982 | −1.90996 | −0.954981 | − | 0.296666i | \(-0.904125\pi\) | ||||
−0.954981 | + | 0.296666i | \(0.904125\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 102.556 | 3.79836 | ||||||||
\(730\) | −12.5651 | + | 21.7634i | −0.465055 | + | 0.805500i | ||||
\(731\) | −6.75574 | − | 11.7013i | −0.249870 | − | 0.432788i | ||||
\(732\) | 22.4302 | + | 38.8502i | 0.829043 | + | 1.43595i | ||||
\(733\) | 16.9158 | − | 29.2990i | 0.624799 | − | 1.08218i | −0.363781 | − | 0.931485i | \(-0.618514\pi\) |
0.988580 | − | 0.150699i | \(-0.0481525\pi\) | |||||||
\(734\) | 43.2034 | 1.59467 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 36.5662 | 1.34785 | ||||||||
\(737\) | −14.8137 | + | 25.6581i | −0.545669 | + | 0.945127i | ||||
\(738\) | −31.1926 | − | 54.0271i | −1.14821 | − | 1.98876i | ||||
\(739\) | −10.3345 | − | 17.8999i | −0.380161 | − | 0.658458i | 0.610924 | − | 0.791689i | \(-0.290798\pi\) |
−0.991085 | + | 0.133231i | \(0.957465\pi\) | |||||||
\(740\) | −3.10263 | + | 5.37391i | −0.114055 | + | 0.197549i | ||||
\(741\) | −18.0288 | −0.662304 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −29.6966 | −1.08946 | −0.544731 | − | 0.838611i | \(-0.683368\pi\) | ||||
−0.544731 | + | 0.838611i | \(0.683368\pi\) | |||||||
\(744\) | −12.2272 | + | 21.1781i | −0.448270 | + | 0.776426i | ||||
\(745\) | −1.08048 | − | 1.87145i | −0.0395858 | − | 0.0685647i | ||||
\(746\) | 30.9596 | + | 53.6235i | 1.13351 | + | 1.96330i | ||||
\(747\) | −16.8376 | + | 29.1636i | −0.616057 | + | 1.06704i | ||||
\(748\) | −19.1972 | −0.701919 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 50.0731 | 1.82841 | ||||||||
\(751\) | 6.01148 | − | 10.4122i | 0.219362 | − | 0.379946i | −0.735251 | − | 0.677795i | \(-0.762936\pi\) |
0.954613 | + | 0.297849i | \(0.0962691\pi\) | |||||||
\(752\) | 8.70242 | + | 15.0730i | 0.317345 | + | 0.549657i | ||||
\(753\) | 25.5251 | + | 44.2107i | 0.930185 | + | 1.61113i | ||||
\(754\) | 1.58420 | − | 2.74392i | 0.0576933 | − | 0.0999278i | ||||
\(755\) | 2.82534 | 0.102825 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −30.2906 | −1.10093 | −0.550464 | − | 0.834859i | \(-0.685549\pi\) | ||||
−0.550464 | + | 0.834859i | \(0.685549\pi\) | |||||||
\(758\) | −35.2575 | + | 61.0677i | −1.28061 | + | 2.21808i | ||||
\(759\) | −33.9852 | − | 58.8641i | −1.23359 | − | 2.13663i | ||||
\(760\) | −2.25090 | − | 3.89867i | −0.0816487 | − | 0.141420i | ||||
\(761\) | 22.9792 | − | 39.8011i | 0.832995 | − | 1.44279i | −0.0626580 | − | 0.998035i | \(-0.519958\pi\) |
0.895653 | − | 0.444754i | \(-0.146709\pi\) | |||||||
\(762\) | −11.9549 | −0.433082 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 18.9030 | 0.683888 | ||||||||
\(765\) | 11.9152 | − | 20.6377i | 0.430795 | − | 0.746159i | ||||
\(766\) | 0.216290 | + | 0.374626i | 0.00781488 | + | 0.0135358i | ||||
\(767\) | 1.39245 | + | 2.41180i | 0.0502786 | + | 0.0870851i | ||||
\(768\) | −34.9296 | + | 60.4998i | −1.26041 | + | 2.18310i | ||||
\(769\) | 4.03924 | 0.145659 | 0.0728293 | − | 0.997344i | \(-0.476797\pi\) | ||||
0.0728293 | + | 0.997344i | \(0.476797\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 52.2980 | 1.88347 | ||||||||
\(772\) | −1.68108 | + | 2.91172i | −0.0605035 | + | 0.104795i | ||||
\(773\) | −18.0588 | − | 31.2787i | −0.649528 | − | 1.12502i | −0.983236 | − | 0.182339i | \(-0.941633\pi\) |
0.333707 | − | 0.942677i | \(-0.391700\pi\) | |||||||
\(774\) | −30.9273 | − | 53.5676i | −1.11166 | − | 1.92545i | ||||
\(775\) | −16.0723 | + | 27.8381i |