Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [729,2,Mod(82,729)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(729, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("729.82");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 729 = 3^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 729.e (of order \(9\), degree \(6\), 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: | \(5.82109430735\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\Q(\zeta_{36})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - x^{6} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 568.2 | ||
Root | \(0.984808 - 0.173648i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 729.568 |
Dual form | 729.2.e.r.163.2 |
$q$-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 \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.85083 | + | 0.673648i | 1.30874 | + | 0.476341i | 0.899832 | − | 0.436236i | \(-0.143689\pi\) |
0.408904 | + | 0.912577i | \(0.365911\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.43969 | + | 1.20805i | 0.719846 | + | 0.604023i | ||||
\(5\) | 0.642788 | − | 3.64543i | 0.287463 | − | 1.63029i | −0.408888 | − | 0.912585i | \(-0.634083\pi\) |
0.696351 | − | 0.717701i | \(-0.254806\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.79813 | + | 1.50881i | −0.679631 | + | 0.570278i | −0.915898 | − | 0.401410i | \(-0.868520\pi\) |
0.236268 | + | 0.971688i | \(0.424076\pi\) | |||||||
\(8\) | −0.118782 | − | 0.205737i | −0.0419959 | − | 0.0727390i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 3.64543 | − | 6.31407i | 1.15279 | − | 1.99668i | ||||
\(11\) | −0.378297 | − | 2.14543i | −0.114061 | − | 0.646871i | −0.987211 | − | 0.159420i | \(-0.949038\pi\) |
0.873150 | − | 0.487452i | \(-0.162073\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 4.43242 | − | 1.61327i | 1.22933 | − | 0.447440i | 0.355963 | − | 0.934500i | \(-0.384153\pi\) |
0.873369 | + | 0.487060i | \(0.161931\pi\) | |||||||
\(14\) | −4.34445 | + | 1.58125i | −1.16110 | + | 0.422607i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.733956 | − | 4.16247i | −0.183489 | − | 1.04062i | ||||
\(17\) | 1.46756 | − | 2.54189i | 0.355936 | − | 0.616499i | −0.631342 | − | 0.775505i | \(-0.717496\pi\) |
0.987278 | + | 0.159006i | \(0.0508289\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.11334 | + | 5.39246i | 0.714249 | + | 1.23712i | 0.963248 | + | 0.268612i | \(0.0865651\pi\) |
−0.248999 | + | 0.968504i | \(0.580102\pi\) | |||||||
\(20\) | 5.32926 | − | 4.47178i | 1.19166 | − | 0.999921i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.745100 | − | 4.22567i | 0.158856 | − | 0.900916i | ||||
\(23\) | 0.397600 | + | 0.333626i | 0.0829053 | + | 0.0695658i | 0.683298 | − | 0.730139i | \(-0.260545\pi\) |
−0.600393 | + | 0.799705i | \(0.704989\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −8.17752 | − | 2.97637i | −1.63550 | − | 0.595275i | ||||
\(26\) | 9.29044 | 1.82201 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −4.41147 | −0.833690 | ||||||||
\(29\) | 3.28212 | + | 1.19459i | 0.609474 | + | 0.221830i | 0.628273 | − | 0.777993i | \(-0.283762\pi\) |
−0.0187992 | + | 0.999823i | \(0.505984\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.29813 | − | 2.76746i | −0.592362 | − | 0.497051i | 0.296618 | − | 0.954996i | \(-0.404141\pi\) |
−0.888980 | + | 0.457945i | \(0.848586\pi\) | |||||||
\(32\) | 1.36310 | − | 7.73055i | 0.240965 | − | 1.36658i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 4.42855 | − | 3.71599i | 0.759490 | − | 0.637288i | ||||
\(35\) | 4.34445 | + | 7.52481i | 0.734347 | + | 1.27193i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.20574 | + | 2.08840i | −0.198222 | + | 0.343330i | −0.947952 | − | 0.318413i | \(-0.896850\pi\) |
0.749730 | + | 0.661744i | \(0.230183\pi\) | |||||||
\(38\) | 2.12965 | + | 12.0778i | 0.345475 | + | 1.95929i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.826352 | + | 0.300767i | −0.130658 | + | 0.0475555i | ||||
\(41\) | −2.34791 | + | 0.854570i | −0.366682 | + | 0.133461i | −0.518788 | − | 0.854903i | \(-0.673617\pi\) |
0.152106 | + | 0.988364i | \(0.451394\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.184793 | + | 1.04801i | 0.0281806 | + | 0.159820i | 0.995651 | − | 0.0931655i | \(-0.0296986\pi\) |
−0.967470 | + | 0.252986i | \(0.918587\pi\) | |||||||
\(44\) | 2.04715 | − | 3.54576i | 0.308619 | − | 0.534543i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.511144 | + | 0.885328i | 0.0753641 | + | 0.130534i | ||||
\(47\) | −0.181985 | + | 0.152704i | −0.0265453 | + | 0.0222741i | −0.655964 | − | 0.754792i | \(-0.727738\pi\) |
0.629418 | + | 0.777067i | \(0.283293\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.258770 | + | 1.46756i | −0.0369672 | + | 0.209651i | ||||
\(50\) | −13.1302 | − | 11.0175i | −1.85689 | − | 1.55812i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 8.33022 | + | 3.03195i | 1.15519 | + | 0.420456i | ||||
\(53\) | 4.66717 | 0.641085 | 0.320543 | − | 0.947234i | \(-0.396135\pi\) | ||||
0.320543 | + | 0.947234i | \(0.396135\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −8.06418 | −1.08737 | ||||||||
\(56\) | 0.524005 | + | 0.190722i | 0.0700231 | + | 0.0254863i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 5.26991 | + | 4.42198i | 0.691974 | + | 0.580635i | ||||
\(59\) | −2.31164 | + | 13.1099i | −0.300949 | + | 1.70677i | 0.341035 | + | 0.940051i | \(0.389223\pi\) |
−0.641984 | + | 0.766718i | \(0.721889\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.81521 | + | 2.36224i | −0.360450 | + | 0.302454i | −0.804970 | − | 0.593315i | \(-0.797819\pi\) |
0.444520 | + | 0.895769i | \(0.353374\pi\) | |||||||
\(62\) | −4.24000 | − | 7.34389i | −0.538480 | − | 0.932675i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 3.50387 | − | 6.06888i | 0.437984 | − | 0.758610i | ||||
\(65\) | −3.03195 | − | 17.1951i | −0.376067 | − | 2.13278i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −13.4363 | + | 4.89041i | −1.64150 | + | 0.597459i | −0.987301 | − | 0.158860i | \(-0.949218\pi\) |
−0.654203 | + | 0.756319i | \(0.726996\pi\) | |||||||
\(68\) | 5.18355 | − | 1.88666i | 0.628598 | − | 0.228791i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 2.97178 | + | 16.8538i | 0.355196 | + | 2.01442i | ||||
\(71\) | −0.601535 | + | 1.04189i | −0.0713891 | + | 0.123649i | −0.899510 | − | 0.436900i | \(-0.856077\pi\) |
0.828121 | + | 0.560549i | \(0.189410\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.34002 | + | 4.05304i | 0.273879 | + | 0.474372i | 0.969852 | − | 0.243696i | \(-0.0783599\pi\) |
−0.695973 | + | 0.718068i | \(0.745027\pi\) | |||||||
\(74\) | −3.63846 | + | 3.05303i | −0.422963 | + | 0.354908i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −2.03209 | + | 11.5245i | −0.233097 | + | 1.32196i | ||||
\(77\) | 3.91728 | + | 3.28699i | 0.446416 | + | 0.374587i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 12.0287 | + | 4.37808i | 1.35333 | + | 0.492573i | 0.913986 | − | 0.405745i | \(-0.132988\pi\) |
0.439346 | + | 0.898318i | \(0.355210\pi\) | |||||||
\(80\) | −15.6458 | −1.74925 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −4.92127 | −0.543464 | ||||||||
\(83\) | 10.6222 | + | 3.86618i | 1.16594 | + | 0.424369i | 0.851217 | − | 0.524814i | \(-0.175865\pi\) |
0.314726 | + | 0.949183i | \(0.398087\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −8.32295 | − | 6.98378i | −0.902750 | − | 0.757498i | ||||
\(86\) | −0.363970 | + | 2.06418i | −0.0392479 | + | 0.222586i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.396459 | + | 0.332669i | −0.0422627 | + | 0.0354626i | ||||
\(89\) | −0.349643 | − | 0.605600i | −0.0370621 | − | 0.0641935i | 0.846899 | − | 0.531753i | \(-0.178467\pi\) |
−0.883961 | + | 0.467560i | \(0.845133\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −5.53596 | + | 9.58856i | −0.580326 | + | 1.00515i | ||||
\(92\) | 0.169386 | + | 0.960637i | 0.0176597 | + | 0.100153i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.439693 | + | 0.160035i | −0.0453508 | + | 0.0165064i | ||||
\(95\) | 21.6591 | − | 7.88326i | 2.22217 | − | 0.808805i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −1.23055 | − | 6.97881i | −0.124944 | − | 0.708591i | −0.981341 | − | 0.192274i | \(-0.938414\pi\) |
0.856398 | − | 0.516317i | \(-0.172697\pi\) | |||||||
\(98\) | −1.46756 | + | 2.54189i | −0.148246 | + | 0.256770i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −8.17752 | − | 14.1639i | −0.817752 | − | 1.41639i | ||||
\(101\) | 3.58288 | − | 3.00640i | 0.356510 | − | 0.299148i | −0.446888 | − | 0.894590i | \(-0.647468\pi\) |
0.803398 | + | 0.595442i | \(0.203023\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −2.36571 | + | 13.4166i | −0.233101 | + | 1.32198i | 0.613476 | + | 0.789713i | \(0.289771\pi\) |
−0.846577 | + | 0.532267i | \(0.821340\pi\) | |||||||
\(104\) | −0.858402 | − | 0.720285i | −0.0841733 | − | 0.0706298i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 8.63816 | + | 3.14403i | 0.839012 | + | 0.305375i | ||||
\(107\) | 11.6340 | 1.12470 | 0.562350 | − | 0.826900i | \(-0.309898\pi\) | ||||
0.562350 | + | 0.826900i | \(0.309898\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 14.6040 | 1.39881 | 0.699405 | − | 0.714725i | \(-0.253448\pi\) | ||||
0.699405 | + | 0.714725i | \(0.253448\pi\) | |||||||
\(110\) | −14.9254 | − | 5.43242i | −1.42309 | − | 0.517961i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 7.60014 | + | 6.37727i | 0.718145 | + | 0.602596i | ||||
\(113\) | 0.815422 | − | 4.62449i | 0.0767084 | − | 0.435035i | −0.922131 | − | 0.386877i | \(-0.873554\pi\) |
0.998840 | − | 0.0481580i | \(-0.0153351\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.47178 | − | 1.23497i | 0.137244 | − | 0.115162i | ||||
\(116\) | 3.28212 | + | 5.68479i | 0.304737 | + | 0.527820i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −13.1099 | + | 22.7071i | −1.20687 | + | 2.09036i | ||||
\(119\) | 1.19637 | + | 6.78493i | 0.109671 | + | 0.621973i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.87686 | − | 2.13900i | 0.534260 | − | 0.194455i | ||||
\(122\) | −6.80180 | + | 2.47565i | −0.615806 | + | 0.224135i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −1.40508 | − | 7.96859i | −0.126180 | − | 0.715601i | ||||
\(125\) | −6.85240 | + | 11.8687i | −0.612897 | + | 1.06157i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −3.04576 | − | 5.27541i | −0.270267 | − | 0.468117i | 0.698663 | − | 0.715451i | \(-0.253779\pi\) |
−0.968930 | + | 0.247334i | \(0.920445\pi\) | |||||||
\(128\) | −1.45323 | + | 1.21941i | −0.128449 | + | 0.107781i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 5.97178 | − | 33.8677i | 0.523760 | − | 2.97039i | ||||
\(131\) | 7.92734 | + | 6.65183i | 0.692615 | + | 0.581173i | 0.919662 | − | 0.392711i | \(-0.128463\pi\) |
−0.227047 | + | 0.973884i | \(0.572907\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −13.7344 | − | 4.99892i | −1.19093 | − | 0.433461i | ||||
\(134\) | −28.1627 | −2.43289 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.697281 | −0.0597914 | ||||||||
\(137\) | −17.9337 | − | 6.52734i | −1.53218 | − | 0.557668i | −0.568027 | − | 0.823010i | \(-0.692293\pi\) |
−0.964154 | + | 0.265342i | \(0.914515\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −17.8516 | − | 14.9793i | −1.51416 | − | 1.27053i | −0.855138 | − | 0.518400i | \(-0.826528\pi\) |
−0.659018 | − | 0.752128i | \(-0.729028\pi\) | |||||||
\(140\) | −2.83564 | + | 16.0817i | −0.239655 | + | 1.35915i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −1.81521 | + | 1.52314i | −0.152329 | + | 0.127819i | ||||
\(143\) | −5.13793 | − | 8.89915i | −0.429655 | − | 0.744184i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 6.46451 | − | 11.1969i | 0.536848 | − | 0.929848i | ||||
\(146\) | 1.60067 | + | 9.07785i | 0.132472 | + | 0.751288i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −4.25877 | + | 1.55007i | −0.350069 | + | 0.127415i | ||||
\(149\) | −14.5708 | + | 5.30335i | −1.19369 | + | 0.434467i | −0.861017 | − | 0.508576i | \(-0.830172\pi\) |
−0.332671 | + | 0.943043i | \(0.607950\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1.02481 | − | 5.81201i | −0.0833983 | − | 0.472975i | −0.997691 | − | 0.0679204i | \(-0.978364\pi\) |
0.914292 | − | 0.405055i | \(-0.132748\pi\) | |||||||
\(152\) | 0.739620 | − | 1.28106i | 0.0599911 | − | 0.103908i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 5.03596 | + | 8.72254i | 0.405809 | + | 0.702882i | ||||
\(155\) | −12.2086 | + | 10.2442i | −0.980617 | + | 0.822836i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −0.210485 | + | 1.19372i | −0.0167985 | + | 0.0952691i | −0.992054 | − | 0.125810i | \(-0.959847\pi\) |
0.975256 | + | 0.221079i | \(0.0709580\pi\) | |||||||
\(158\) | 19.3138 | + | 16.2062i | 1.53652 | + | 1.28930i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −27.3050 | − | 9.93821i | −2.15865 | − | 0.785684i | ||||
\(161\) | −1.21832 | −0.0960168 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 2.77332 | 0.217223 | 0.108612 | − | 0.994084i | \(-0.465360\pi\) | ||||
0.108612 | + | 0.994084i | \(0.465360\pi\) | |||||||
\(164\) | −4.41263 | − | 1.60607i | −0.344569 | − | 0.125413i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 17.0556 | + | 14.3113i | 1.32377 | + | 1.11077i | ||||
\(167\) | −0.664738 | + | 3.76991i | −0.0514389 | + | 0.291725i | −0.999665 | − | 0.0258705i | \(-0.991764\pi\) |
0.948226 | + | 0.317595i | \(0.102875\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 7.08512 | − | 5.94512i | 0.545009 | − | 0.457317i | ||||
\(170\) | −10.6998 | − | 18.5326i | −0.820635 | − | 1.42138i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −1.00000 | + | 1.73205i | −0.0762493 | + | 0.132068i | ||||
\(173\) | −1.22064 | − | 6.92262i | −0.0928039 | − | 0.526317i | −0.995398 | − | 0.0958248i | \(-0.969451\pi\) |
0.902594 | − | 0.430492i | \(-0.141660\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 19.1951 | − | 6.98643i | 1.45101 | − | 0.528124i | ||||
\(176\) | −8.65263 | + | 3.14930i | −0.652217 | + | 0.237387i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −0.239170 | − | 1.35640i | −0.0179266 | − | 0.101667i | ||||
\(179\) | 7.19269 | − | 12.4581i | 0.537607 | − | 0.931163i | −0.461425 | − | 0.887179i | \(-0.652662\pi\) |
0.999032 | − | 0.0439838i | \(-0.0140050\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −6.60014 | − | 11.4318i | −0.490584 | − | 0.849717i | 0.509357 | − | 0.860555i | \(-0.329883\pi\) |
−0.999941 | + | 0.0108384i | \(0.996550\pi\) | |||||||
\(182\) | −16.7055 | + | 14.0175i | −1.23829 | + | 1.03905i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0.0214114 | − | 0.121430i | 0.00157847 | − | 0.00895193i | ||||
\(185\) | 6.83807 | + | 5.73783i | 0.502745 | + | 0.421853i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −6.00862 | − | 2.18696i | −0.439394 | − | 0.159926i | ||||
\(188\) | −0.446476 | −0.0325626 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 45.3979 | 3.29351 | ||||||||
\(191\) | −12.6138 | − | 4.59105i | −0.912703 | − | 0.332197i | −0.157372 | − | 0.987539i | \(-0.550302\pi\) |
−0.755332 | + | 0.655343i | \(0.772524\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 11.4945 | + | 9.64506i | 0.827395 | + | 0.694267i | 0.954691 | − | 0.297598i | \(-0.0961855\pi\) |
−0.127296 | + | 0.991865i | \(0.540630\pi\) | |||||||
\(194\) | 2.42371 | − | 13.7456i | 0.174013 | − | 0.986874i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −2.14543 | + | 1.80023i | −0.153245 | + | 0.128588i | ||||
\(197\) | 11.1606 | + | 19.3307i | 0.795158 | + | 1.37725i | 0.922739 | + | 0.385426i | \(0.125946\pi\) |
−0.127580 | + | 0.991828i | \(0.540721\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 4.55051 | − | 7.88171i | 0.322577 | − | 0.558720i | −0.658442 | − | 0.752631i | \(-0.728784\pi\) |
0.981019 | + | 0.193912i | \(0.0621176\pi\) | |||||||
\(200\) | 0.358995 | + | 2.03596i | 0.0253847 | + | 0.143964i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 8.65657 | − | 3.15074i | 0.609074 | − | 0.221685i | ||||
\(203\) | −7.70410 | + | 2.80406i | −0.540722 | + | 0.196807i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 1.60607 | + | 9.10846i | 0.112173 | + | 0.636162i | ||||
\(206\) | −13.4166 | + | 23.2383i | −0.934781 | + | 1.61909i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −9.96838 | − | 17.2657i | −0.691183 | − | 1.19716i | ||||
\(209\) | 10.3914 | − | 8.71941i | 0.718787 | − | 0.603134i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −1.03802 | + | 5.88690i | −0.0714602 | + | 0.405271i | 0.928005 | + | 0.372568i | \(0.121523\pi\) |
−0.999465 | + | 0.0327028i | \(0.989589\pi\) | |||||||
\(212\) | 6.71929 | + | 5.63816i | 0.461483 | + | 0.387230i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 21.5326 | + | 7.83721i | 1.47194 | + | 0.535741i | ||||
\(215\) | 3.93923 | 0.268653 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 10.1061 | 0.686045 | ||||||||
\(218\) | 27.0296 | + | 9.83796i | 1.83067 | + | 0.666311i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −11.6099 | − | 9.74189i | −0.782742 | − | 0.656798i | ||||
\(221\) | 2.40409 | − | 13.6343i | 0.161717 | − | 0.917141i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −6.81908 | + | 5.72189i | −0.456639 | + | 0.383166i | −0.841893 | − | 0.539645i | \(-0.818558\pi\) |
0.385253 | + | 0.922811i | \(0.374114\pi\) | |||||||
\(224\) | 9.21291 | + | 15.9572i | 0.615564 | + | 1.06619i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 4.62449 | − | 8.00984i | 0.307616 | − | 0.532807i | ||||
\(227\) | −1.85256 | − | 10.5064i | −0.122959 | − | 0.697334i | −0.982499 | − | 0.186266i | \(-0.940361\pi\) |
0.859540 | − | 0.511068i | \(-0.170750\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 7.77244 | − | 2.82894i | 0.513617 | − | 0.186941i | −0.0721913 | − | 0.997391i | \(-0.522999\pi\) |
0.585809 | + | 0.810449i | \(0.300777\pi\) | |||||||
\(230\) | 3.55596 | − | 1.29426i | 0.234473 | − | 0.0853412i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −0.144086 | − | 0.817150i | −0.00945968 | − | 0.0536485i | ||||
\(233\) | −6.36965 | + | 11.0326i | −0.417290 | + | 0.722767i | −0.995666 | − | 0.0930034i | \(-0.970353\pi\) |
0.578376 | + | 0.815770i | \(0.303687\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.439693 | + | 0.761570i | 0.0286824 | + | 0.0496793i | ||||
\(236\) | −19.1654 | + | 16.0817i | −1.24756 | + | 1.04683i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −2.35638 | + | 13.3637i | −0.152742 | + | 0.866240i | ||||
\(239\) | 11.5026 | + | 9.65183i | 0.744041 | + | 0.624325i | 0.933920 | − | 0.357483i | \(-0.116365\pi\) |
−0.189878 | + | 0.981808i | \(0.560809\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −0.747626 | − | 0.272114i | −0.0481588 | − | 0.0175284i | 0.317828 | − | 0.948148i | \(-0.397046\pi\) |
−0.365987 | + | 0.930620i | \(0.619269\pi\) | |||||||
\(242\) | 12.3180 | 0.791832 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −6.90673 | −0.442158 | ||||||||
\(245\) | 5.18355 | + | 1.88666i | 0.331165 | + | 0.120534i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 22.4991 | + | 18.8790i | 1.43158 | + | 1.20124i | ||||
\(248\) | −0.177610 | + | 1.00727i | −0.0112782 | + | 0.0639620i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −20.6780 | + | 17.3509i | −1.30779 | + | 1.09737i | ||||
\(251\) | −4.15749 | − | 7.20099i | −0.262419 | − | 0.454522i | 0.704465 | − | 0.709738i | \(-0.251187\pi\) |
−0.966884 | + | 0.255216i | \(0.917853\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.565360 | − | 0.979232i | 0.0355439 | − | 0.0615638i | ||||
\(254\) | −2.08342 | − | 11.8157i | −0.130726 | − | 0.741381i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −16.6814 | + | 6.07153i | −1.04259 | + | 0.379471i | ||||
\(257\) | 24.0752 | − | 8.76264i | 1.50177 | − | 0.546599i | 0.545250 | − | 0.838274i | \(-0.316435\pi\) |
0.956517 | + | 0.291675i | \(0.0942126\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.982926 | − | 5.57445i | −0.0610760 | − | 0.346379i | ||||
\(260\) | 16.4073 | − | 28.4183i | 1.01754 | − | 1.76243i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 10.1912 | + | 17.6517i | 0.629614 | + | 1.09052i | ||||
\(263\) | 21.4990 | − | 18.0398i | 1.32569 | − | 1.11238i | 0.340622 | − | 0.940200i | \(-0.389362\pi\) |
0.985065 | − | 0.172183i | \(-0.0550821\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 3.00000 | − | 17.0138i | 0.184289 | − | 1.04515i | ||||
\(266\) | −22.0526 | − | 18.5043i | −1.35213 | − | 1.13457i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −25.2520 | − | 9.19096i | −1.54251 | − | 0.561427i | ||||
\(269\) | −30.1710 | −1.83956 | −0.919778 | − | 0.392439i | \(-0.871631\pi\) | ||||
−0.919778 | + | 0.392439i | \(0.871631\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −19.0000 | −1.15417 | −0.577084 | − | 0.816685i | \(-0.695809\pi\) | ||||
−0.577084 | + | 0.816685i | \(0.695809\pi\) | |||||||
\(272\) | −11.6577 | − | 4.24304i | −0.706849 | − | 0.257272i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −28.7952 | − | 24.1620i | −1.73958 | − | 1.45968i | ||||
\(275\) | −3.29207 | + | 18.6702i | −0.198519 | + | 1.12586i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 16.1800 | − | 13.5767i | 0.972165 | − | 0.815743i | −0.0107242 | − | 0.999942i | \(-0.503414\pi\) |
0.982889 | + | 0.184199i | \(0.0589692\pi\) | |||||||
\(278\) | −22.9496 | − | 39.7499i | −1.37643 | − | 2.38404i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 1.03209 | − | 1.78763i | 0.0616791 | − | 0.106831i | ||||
\(281\) | −0.303415 | − | 1.72075i | −0.0181002 | − | 0.102651i | 0.974419 | − | 0.224738i | \(-0.0721526\pi\) |
−0.992519 | + | 0.122086i | \(0.961041\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 6.84864 | − | 2.49270i | 0.407109 | − | 0.148176i | −0.130345 | − | 0.991469i | \(-0.541608\pi\) |
0.537454 | + | 0.843293i | \(0.319386\pi\) | |||||||
\(284\) | −2.12467 | + | 0.773318i | −0.126076 | + | 0.0458880i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −3.51455 | − | 19.9320i | −0.207820 | − | 1.17860i | ||||
\(287\) | 2.93247 | − | 5.07919i | 0.173098 | − | 0.299815i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 4.19253 | + | 7.26168i | 0.246620 | + | 0.427158i | ||||
\(290\) | 19.5075 | − | 16.3687i | 1.14552 | − | 0.961204i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −1.52734 | + | 8.66198i | −0.0893809 | + | 0.506904i | ||||
\(293\) | −11.7595 | − | 9.86736i | −0.686995 | − | 0.576458i | 0.231046 | − | 0.972943i | \(-0.425785\pi\) |
−0.918041 | + | 0.396485i | \(0.870230\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 46.3055 | + | 16.8538i | 2.69601 | + | 0.981267i | ||||
\(296\) | 0.572881 | 0.0332980 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −30.5408 | −1.76918 | ||||||||
\(299\) | 2.30056 | + | 0.837334i | 0.133045 | + | 0.0484243i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.91353 | − | 1.60565i | −0.110294 | − | 0.0925479i | ||||
\(302\) | 2.01849 | − | 11.4474i | 0.116151 | − | 0.658726i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 20.1609 | − | 16.9170i | 1.15631 | − | 0.970257i | ||||
\(305\) | 6.80180 | + | 11.7811i | 0.389470 | + | 0.674581i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −8.38191 | + | 14.5179i | −0.478381 | + | 0.828580i | −0.999693 | − | 0.0247861i | \(-0.992110\pi\) |
0.521312 | + | 0.853366i | \(0.325443\pi\) | |||||||
\(308\) | 1.66885 | + | 9.46451i | 0.0950914 | + | 0.539290i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −29.4971 | + | 10.7361i | −1.67532 | + | 0.609767i | ||||
\(311\) | −15.0568 | + | 5.48024i | −0.853794 | + | 0.310756i | −0.731586 | − | 0.681749i | \(-0.761220\pi\) |
−0.122208 | + | 0.992505i | \(0.538998\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 5.97447 | + | 33.8829i | 0.337697 | + | 1.91517i | 0.398789 | + | 0.917043i | \(0.369431\pi\) |
−0.0610920 | + | 0.998132i | \(0.519458\pi\) | |||||||
\(314\) | −1.19372 | + | 2.06758i | −0.0673654 | + | 0.116680i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 12.0287 | + | 20.8343i | 0.676666 | + | 1.17202i | ||||
\(317\) | 12.4950 | − | 10.4846i | 0.701791 | − | 0.588872i | −0.220492 | − | 0.975389i | \(-0.570766\pi\) |
0.922283 | + | 0.386516i | \(0.126322\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 1.32130 | − | 7.49346i | 0.0739786 | − | 0.419553i | ||||
\(320\) | −19.8714 | − | 16.6741i | −1.11085 | − | 0.932111i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −2.25490 | − | 0.820717i | −0.125661 | − | 0.0457367i | ||||
\(323\) | 18.2761 | 1.01691 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −41.0479 | −2.27693 | ||||||||
\(326\) | 5.13295 | + | 1.86824i | 0.284288 | + | 0.103472i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0.454707 | + | 0.381545i | 0.0251070 | + | 0.0210673i | ||||
\(329\) | 0.0968323 | − | 0.549163i | 0.00533854 | − | 0.0302763i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −24.1917 | + | 20.2992i | −1.32969 | + | 1.11575i | −0.345545 | + | 0.938402i | \(0.612306\pi\) |
−0.984149 | + | 0.177343i | \(0.943250\pi\) | |||||||
\(332\) | 10.6222 | + | 18.3983i | 0.582972 | + | 1.00974i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −3.76991 | + | 6.52968i | −0.206281 | + | 0.357288i | ||||
\(335\) | 9.19096 | + | 52.1245i | 0.502156 | + | 2.84787i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −5.64290 | + | 2.05385i | −0.307389 | + | 0.111880i | −0.491109 | − | 0.871098i | \(-0.663408\pi\) |
0.183720 | + | 0.982979i | \(0.441186\pi\) | |||||||
\(338\) | 17.1183 | − | 6.23055i | 0.931113 | − | 0.338897i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −3.54576 | − | 20.1090i | −0.192296 | − | 1.09056i | ||||
\(341\) | −4.68972 | + | 8.12284i | −0.253963 | + | 0.439876i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −9.96451 | − | 17.2590i | −0.538033 | − | 0.931900i | ||||
\(344\) | 0.193665 | − | 0.162504i | 0.0104417 | − | 0.00876162i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 2.40420 | − | 13.6349i | 0.129251 | − | 0.733017i | ||||
\(347\) | −17.6423 | − | 14.8037i | −0.947089 | − | 0.794702i | 0.0317162 | − | 0.999497i | \(-0.489903\pi\) |
−0.978805 | + | 0.204795i | \(0.934347\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 10.8687 | + | 3.95589i | 0.581789 | + | 0.211754i | 0.616114 | − | 0.787657i | \(-0.288706\pi\) |
−0.0343254 | + | 0.999411i | \(0.510928\pi\) | |||||||
\(350\) | 40.2332 | 2.15056 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −17.1010 | −0.911487 | ||||||||
\(353\) | −2.00589 | − | 0.730085i | −0.106763 | − | 0.0388585i | 0.288086 | − | 0.957604i | \(-0.406981\pi\) |
−0.394849 | + | 0.918746i | \(0.629203\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 3.41147 | + | 2.86257i | 0.181062 | + | 0.151929i | ||||
\(356\) | 0.228213 | − | 1.29426i | 0.0120953 | − | 0.0685958i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 21.7049 | − | 18.2125i | 1.14714 | − | 0.962563i | ||||
\(359\) | 12.1118 | + | 20.9782i | 0.639234 | + | 1.10719i | 0.985601 | + | 0.169087i | \(0.0540818\pi\) |
−0.346367 | + | 0.938099i | \(0.612585\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −9.88578 | + | 17.1227i | −0.520304 | + | 0.901193i | ||||
\(362\) | −4.51476 | − | 25.6045i | −0.237290 | − | 1.34574i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −19.5535 | + | 7.11689i | −1.02488 | + | 0.373027i | ||||
\(365\) | 16.2792 | − | 5.92514i | 0.852092 | − | 0.310136i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −0.492259 | − | 2.79174i | −0.0256957 | − | 0.145728i | 0.969261 | − | 0.246036i | \(-0.0791282\pi\) |
−0.994956 | + | 0.100308i | \(0.968017\pi\) | |||||||
\(368\) | 1.09689 | − | 1.89986i | 0.0571792 | − | 0.0990372i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 8.79086 | + | 15.2262i | 0.457015 | + | 0.791573i | ||||
\(371\) | −8.39220 | + | 7.04189i | −0.435701 | + | 0.365597i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −5.00686 | + | 28.3953i | −0.259246 | + | 1.47025i | 0.525689 | + | 0.850677i | \(0.323807\pi\) |
−0.784935 | + | 0.619578i | \(0.787304\pi\) | |||||||
\(374\) | −9.64771 | − | 8.09539i | −0.498871 | − | 0.418603i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0.0530334 | + | 0.0193026i | 0.00273499 | + | 0.000995455i | ||||
\(377\) | 16.4749 | 0.848501 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 32.1985 | 1.65393 | 0.826963 | − | 0.562256i | \(-0.190066\pi\) | ||||
0.826963 | + | 0.562256i | \(0.190066\pi\) | |||||||
\(380\) | 40.7057 | + | 14.8157i | 2.08816 | + | 0.760028i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −20.2533 | − | 16.9945i | −1.03625 | − | 0.869516i | ||||
\(383\) | −0.116735 | + | 0.662037i | −0.00596488 | + | 0.0338285i | −0.987645 | − | 0.156708i | \(-0.949912\pi\) |
0.981680 | + | 0.190537i | \(0.0610229\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 14.5005 | − | 12.1673i | 0.739012 | − | 0.620105i | ||||
\(386\) | 14.7771 | + | 25.5947i | 0.752134 | + | 1.30273i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 6.65910 | − | 11.5339i | 0.338065 | − | 0.585545i | ||||
\(389\) | 0.739620 | + | 4.19459i | 0.0375002 | + | 0.212674i | 0.997800 | − | 0.0662958i | \(-0.0211181\pi\) |
−0.960300 | + | 0.278970i | \(0.910007\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.43154 | − | 0.521038i | 0.0723962 | − | 0.0263500i | ||||
\(392\) | 0.332669 | − | 0.121082i | 0.0168023 | − | 0.00611554i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 7.63429 | + | 43.2962i | 0.384610 | + | 2.18123i | ||||
\(395\) | 23.6919 | − | 41.0355i | 1.19207 | − | 2.06472i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 4.43242 | + | 7.67717i | 0.222457 | + | 0.385306i | 0.955553 | − | 0.294818i | \(-0.0952591\pi\) |
−0.733097 | + | 0.680124i | \(0.761926\pi\) | |||||||
\(398\) | 13.7317 | − | 11.5223i | 0.688309 | − | 0.577560i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −6.38713 | + | 36.2232i | −0.319356 | + | 1.81116i | ||||
\(401\) | −28.4079 | − | 23.8371i | −1.41862 | − | 1.19037i | −0.952072 | − | 0.305874i | \(-0.901051\pi\) |
−0.466552 | − | 0.884494i | \(-0.654504\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −19.0834 | − | 6.94578i | −0.950610 | − | 0.345994i | ||||
\(404\) | 8.79012 | 0.437325 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −16.1480 | −0.801410 | ||||||||
\(407\) | 4.93664 | + | 1.79679i | 0.244700 | + | 0.0890635i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −2.59627 | − | 2.17853i | −0.128377 | − | 0.107721i | 0.576339 | − | 0.817211i | \(-0.304481\pi\) |
−0.704716 | + | 0.709490i | \(0.748925\pi\) | |||||||
\(410\) | −3.16333 | + | 17.9402i | −0.156226 | + | 0.886001i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −19.6138 | + | 16.4579i | −0.966303 | + | 0.810824i | ||||
\(413\) | −15.6238 | − | 27.0612i | −0.768798 | − | 1.33160i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 20.9217 | − | 36.2375i | 1.02701 | − | 1.77883i | ||||
\(416\) | −6.42960 | − | 36.4641i | −0.315237 | − | 1.78780i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 25.1065 | − | 9.13803i | 1.22800 | − | 0.446956i | ||||
\(419\) | −19.4106 | + | 7.06489i | −0.948272 | + | 0.345143i | −0.769427 | − | 0.638735i | \(-0.779458\pi\) |
−0.178845 | + | 0.983877i | \(0.557236\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 4.78106 | + | 27.1147i | 0.233015 | + | 1.32149i | 0.846755 | + | 0.531983i | \(0.178553\pi\) |
−0.613740 | + | 0.789508i | \(0.710336\pi\) | |||||||
\(422\) | −5.88690 | + | 10.1964i | −0.286570 | + | 0.496353i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −0.554378 | − | 0.960210i | −0.0269230 | − | 0.0466319i | ||||
\(425\) | −19.5666 | + | 16.4183i | −0.949120 | + | 0.796406i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 1.49794 | − | 8.49524i | 0.0724904 | − | 0.411114i | ||||
\(428\) | 16.7494 | + | 14.0544i | 0.809611 | + | 0.679344i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 7.29086 | + | 2.65366i | 0.351596 | + | 0.127971i | ||||
\(431\) | 2.58110 | 0.124327 | 0.0621636 | − | 0.998066i | \(-0.480200\pi\) | ||||
0.0621636 | + | 0.998066i | \(0.480200\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −27.0137 | −1.29820 | −0.649098 | − | 0.760704i | \(-0.724854\pi\) | ||||
−0.649098 | + | 0.760704i | \(0.724854\pi\) | |||||||
\(434\) | 18.7046 | + | 6.80793i | 0.897852 | + | 0.326791i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 21.0253 | + | 17.6423i | 1.00693 | + | 0.844913i | ||||
\(437\) | −0.561202 | + | 3.18273i | −0.0268459 | + | 0.152251i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 8.97044 | − | 7.52709i | 0.428136 | − | 0.359248i | −0.403112 | − | 0.915151i | \(-0.632072\pi\) |
0.831248 | + | 0.555902i | \(0.187627\pi\) | |||||||
\(440\) | 0.957882 | + | 1.65910i | 0.0456652 | + | 0.0790945i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 13.6343 | − | 23.6153i | 0.648517 | − | 1.12326i | ||||
\(443\) | −0.361323 | − | 2.04916i | −0.0171670 | − | 0.0973587i | 0.975020 | − | 0.222115i | \(-0.0712961\pi\) |
−0.992187 | + | 0.124757i | \(0.960185\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −2.43242 | + | 0.885328i | −0.115308 | + | 0.0419686i | ||||
\(446\) | −16.4755 | + | 5.99660i | −0.780138 | + | 0.283947i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 2.85638 | + | 16.1993i | 0.134951 | + | 0.765347i | ||||
\(449\) | 5.27541 | − | 9.13728i | 0.248962 | − | 0.431215i | −0.714276 | − | 0.699864i | \(-0.753244\pi\) |
0.963238 | + | 0.268649i | \(0.0865772\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 2.72163 | + | 4.71400i | 0.128157 | + | 0.221974i | ||||
\(452\) | 6.76055 | − | 5.67277i | 0.317989 | − | 0.266825i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 3.64883 | − | 20.6936i | 0.171248 | − | 0.971197i | ||||
\(455\) | 31.3960 | + | 26.3444i | 1.47187 | + | 1.23504i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 7.43242 | + | 2.70518i | 0.347674 | + | 0.126543i | 0.509954 | − | 0.860202i | \(-0.329663\pi\) |
−0.162280 | + | 0.986745i | \(0.551885\pi\) | |||||||
\(458\) | 16.2912 | 0.761238 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 3.61081 | 0.168355 | ||||||||
\(461\) | −36.7352 | − | 13.3705i | −1.71093 | − | 0.622727i | −0.713935 | − | 0.700212i | \(-0.753089\pi\) |
−0.996994 | + | 0.0774846i | \(0.975311\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 18.1498 | + | 15.2295i | 0.843491 | + | 0.707773i | 0.958346 | − | 0.285609i | \(-0.0921959\pi\) |
−0.114855 | + | 0.993382i | \(0.536640\pi\) | |||||||
\(464\) | 2.56353 | − | 14.5385i | 0.119009 | − | 0.674932i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −19.2212 | + | 16.1285i | −0.890406 | + | 0.747139i | ||||
\(467\) | −17.3576 | − | 30.0642i | −0.803214 | − | 1.39121i | −0.917490 | − | 0.397758i | \(-0.869788\pi\) |
0.114277 | − | 0.993449i | \(-0.463545\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 16.7815 | − | 29.0665i | 0.774899 | − | 1.34216i | ||||
\(470\) | 0.300767 | + | 1.70574i | 0.0138734 | + | 0.0786798i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 2.97178 | − | 1.08164i | 0.136787 | − | 0.0497865i | ||||
\(473\) | 2.17853 | − | 0.792919i | 0.100169 | − | 0.0364584i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −9.40941 | − | 53.3634i | −0.431734 | − | 2.44848i | ||||
\(476\) | −6.47410 | + | 11.2135i | −0.296740 | + | 0.513969i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 14.7875 | + | 25.6126i | 0.676362 | + | 1.17149i | ||||
\(479\) | 4.96529 | − | 4.16637i | 0.226870 | − | 0.190366i | −0.522266 | − | 0.852782i | \(-0.674913\pi\) |
0.749136 | + | 0.662416i | \(0.230469\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.97519 | + | 11.2018i | −0.0900607 | + | 0.510760i | ||||
\(482\) | −1.20042 | − | 1.00727i | −0.0546777 | − | 0.0458801i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 11.0449 | + | 4.02001i | 0.502040 | + | 0.182728i | ||||
\(485\) | −26.2317 | −1.19112 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 19.9828 | 0.905505 | 0.452753 | − | 0.891636i | \(-0.350442\pi\) | ||||
0.452753 | + | 0.891636i | \(0.350442\pi\) | |||||||
\(488\) | 0.820397 | + | 0.298600i | 0.0371376 | + | 0.0135170i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 8.32295 | + | 6.98378i | 0.375992 | + | 0.315495i | ||||
\(491\) | 4.55428 | − | 25.8286i | 0.205532 | − | 1.16563i | −0.691068 | − | 0.722789i | \(-0.742860\pi\) |
0.896600 | − | 0.442840i | \(-0.146029\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 7.85323 | − | 6.58964i | 0.353692 | − | 0.296782i | ||||
\(494\) | 28.9243 | + | 50.0984i | 1.30137 | + | 2.25403i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −9.09879 | + | 15.7596i | −0.408548 | + | 0.707626i | ||||
\(497\) | −0.490376 | − | 2.78106i | −0.0219964 | − | 0.124748i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −5.93629 | + | 2.16063i | −0.265745 | + | 0.0967232i | −0.471456 | − | 0.881890i | \(-0.656271\pi\) |
0.205711 | + | 0.978613i | \(0.434049\pi\) | |||||||
\(500\) | −24.2033 | + | 8.80928i | −1.08240 | + | 0.393963i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −2.84389 | − | 16.1285i | −0.126929 | − | 0.719851i | ||||
\(503\) | −10.9131 | + | 18.9020i | −0.486589 | + | 0.842798i | −0.999881 | − | 0.0154166i | \(-0.995093\pi\) |
0.513292 | + | 0.858214i | \(0.328426\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −8.65657 | − | 14.9936i | −0.385212 | − | 0.667208i | ||||
\(506\) | 1.70604 | − | 1.43154i | 0.0758429 | − | 0.0636398i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 1.98798 | − | 11.2744i | 0.0882023 | − | 0.500220i | ||||
\(509\) | −22.2866 | − | 18.7007i | −0.987837 | − | 0.828893i | −0.00258346 | − | 0.999997i | \(-0.500822\pi\) |
−0.985253 | + | 0.171103i | \(0.945267\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −10.3229 | − | 3.75725i | −0.456660 | − | 0.166211i | ||||
\(512\) | −31.1704 | −1.37755 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 50.4620 | 2.22579 | ||||||||
\(515\) | 47.3887 | + | 17.2481i | 2.08820 | + | 0.760042i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0.396459 | + | 0.332669i | 0.0174363 | + | 0.0146308i | ||||
\(518\) | 1.93599 | − | 10.9795i | 0.0850623 | − | 0.482413i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −3.17752 | + | 2.66625i | −0.139343 | + | 0.116923i | ||||
\(521\) | −6.84743 | − | 11.8601i | −0.299991 | − | 0.519600i | 0.676142 | − | 0.736771i | \(-0.263650\pi\) |
−0.976134 | + | 0.217171i | \(0.930317\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −6.57532 | + | 11.3888i | −0.287519 | + | 0.497997i | −0.973217 | − | 0.229889i | \(-0.926164\pi\) |
0.685698 | + | 0.727886i | \(0.259497\pi\) | |||||||
\(524\) | 3.37722 | + | 19.1532i | 0.147535 | + | 0.836710i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 51.9436 | − | 18.9059i | 2.26485 | − | 0.824338i | ||||
\(527\) | −11.8748 | + | 4.32207i | −0.517274 | + | 0.188272i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −3.94713 | − | 22.3853i | −0.171614 | − | 0.973273i | ||||
\(530\) | 17.0138 | − | 29.4688i | 0.739034 | − | 1.28004i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −13.7344 | − | 23.7887i | −0.595463 | − | 1.03137i | ||||
\(533\) | −9.02828 | + | 7.57563i | −0.391058 | + | 0.328137i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 7.47818 | − | 42.4109i | 0.323310 | − | 1.83358i | ||||
\(536\) | 2.60213 | + | 2.18345i | 0.112395 | + | 0.0943106i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −55.8414 | − | 20.3246i | −2.40749 | − | 0.876256i | ||||
\(539\) | 3.24644 | 0.139834 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 6.26083 | 0.269174 | 0.134587 | − | 0.990902i | \(-0.457029\pi\) | ||||
0.134587 | + | 0.990902i | \(0.457029\pi\) | |||||||
\(542\) | −35.1658 | − | 12.7993i | −1.51050 | − | 0.549778i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −17.6498 | − | 14.8099i | −0.756728 | − | 0.634970i | ||||
\(545\) | 9.38728 | − | 53.2379i | 0.402107 | − | 2.28046i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −24.0371 | + | 20.1696i | −1.02775 | + | 0.862388i | −0.990582 | − | 0.136921i | \(-0.956279\pi\) |
−0.0371720 | + | 0.999309i | \(0.511835\pi\) | |||||||
\(548\) | −17.9337 | − | 31.0621i | −0.766091 | − | 1.32691i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −18.6702 | + | 32.3378i | −0.796102 | + | 1.37889i | ||||
\(551\) | 3.77655 | + | 21.4179i | 0.160886 | + | 0.912432i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −28.2349 | + | 10.2767i | −1.20067 | + | 0.437008i | ||||
\(554\) | 39.0925 | − | 14.2285i | 1.66088 | − | 0.604511i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −7.60519 | − | 43.1312i | −0.322532 | − | 1.82917i | ||||
\(557\) | −21.7196 | + | 37.6195i | −0.920290 | + | 1.59399i | −0.121324 | + | 0.992613i | \(0.538714\pi\) |
−0.798966 | + | 0.601376i | \(0.794619\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 2.50980 | + | 4.34710i | 0.106153 | + | 0.183863i | ||||
\(560\) | 28.1332 | − | 23.6065i | 1.18884 | − | 0.997558i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0.597611 | − | 3.38922i | 0.0252087 | − | 0.142966i | ||||
\(563\) | 24.5269 | + | 20.5805i | 1.03369 | + | 0.867366i | 0.991285 | − | 0.131734i | \(-0.0420546\pi\) |
0.0424018 | + | 0.999101i | \(0.486499\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −16.3341 | − | 5.94512i | −0.687180 | − | 0.250113i | ||||
\(566\) | 14.3549 | 0.603381 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0.285807 | 0.0119922 | ||||||||
\(569\) | −6.36355 | − | 2.31614i | −0.266774 | − | 0.0970977i | 0.205170 | − | 0.978726i | \(-0.434225\pi\) |
−0.471944 | + | 0.881629i | \(0.656447\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −16.2041 | − | 13.5969i | −0.678122 | − | 0.569012i | 0.237335 | − | 0.971428i | \(-0.423726\pi\) |
−0.915457 | + | 0.402416i | \(0.868171\pi\) | |||||||
\(572\) | 3.35354 | − | 19.0189i | 0.140219 | − | 0.795220i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 8.84911 | − | 7.42528i | 0.369355 | − | 0.309925i | ||||
\(575\) | −2.25838 | − | 3.91164i | −0.0941811 | − | 0.163127i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −5.95811 | + | 10.3198i | −0.248039 | + | 0.429617i | −0.962982 | − | 0.269567i | \(-0.913120\pi\) |
0.714942 | + | 0.699183i | \(0.246453\pi\) | |||||||
\(578\) | 2.86786 | + | 16.2645i | 0.119287 | + | 0.676512i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 22.8332 | − | 8.31061i | 0.948098 | − | 0.345079i | ||||
\(581\) | −24.9336 | + | 9.07507i | −1.03442 | + | 0.376497i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −1.76558 | − | 10.0131i | −0.0731228 | − | 0.414700i | ||||
\(584\) | 0.555907 | − | 0.962859i | 0.0230036 | − | 0.0398434i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −15.1177 | − | 26.1846i | −0.624506 | − | 1.08168i | ||||
\(587\) | 0.0994798 | − | 0.0834734i | 0.00410597 | − | 0.00344532i | −0.640732 | − | 0.767764i | \(-0.721369\pi\) |
0.644838 | + | 0.764319i | \(0.276925\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 4.65523 | − | 26.4011i | 0.191815 | − | 1.08784i | ||||
\(590\) | 74.3501 | + | 62.3872i | 3.06095 | + | 2.56844i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 9.57785 | + | 3.48605i | 0.393647 | + | 0.143276i | ||||
\(593\) | −26.2622 | −1.07846 | −0.539230 | − | 0.842158i | \(-0.681285\pi\) | ||||
−0.539230 | + | 0.842158i | \(0.681285\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 25.5030 | 1.04552 | ||||||||
\(596\) | −27.3842 | − | 9.96703i | −1.12170 | − | 0.408266i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 3.69388 | + | 3.09953i | 0.151054 | + | 0.126749i | ||||
\(599\) | −4.79185 | + | 27.1759i | −0.195790 | + | 1.11038i | 0.715500 | + | 0.698613i | \(0.246199\pi\) |
−0.911290 | + | 0.411766i | \(0.864912\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 1.02094 | − | 0.856674i | 0.0416452 | − | 0.0349445i | −0.621728 | − | 0.783234i | \(-0.713569\pi\) |
0.663373 | + | 0.748289i | \(0.269124\pi\) | |||||||
\(602\) | −2.45999 | − | 4.26083i | −0.100262 | − | 0.173658i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 5.54576 | − | 9.60554i | 0.225654 | − | 0.390844i | ||||
\(605\) | −4.02001 | − | 22.7986i | −0.163437 | − | 0.926895i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 11.8068 | − | 4.29731i | 0.479221 | − | 0.174422i | −0.0911037 | − | 0.995841i | \(-0.529039\pi\) |
0.570325 | + | 0.821419i | \(0.306817\pi\) | |||||||
\(608\) | 45.9305 | − | 16.7173i | 1.86273 | − | 0.677978i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 4.65270 | + | 26.3868i | 0.188382 | + | 1.06837i | ||||
\(611\) | −0.560282 | + | 0.970437i | −0.0226666 | + | 0.0392597i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 6.99912 | + | 12.1228i | 0.282692 | + | 0.489637i | 0.972047 | − | 0.234787i | \(-0.0754393\pi\) |
−0.689355 | + | 0.724424i | \(0.742106\pi\) | |||||||
\(614\) | −25.2935 | + | 21.2237i | −1.02076 | + | 0.856521i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0.210952 | − | 1.19637i | 0.00849948 | − | 0.0482030i | ||||
\(617\) | −18.4209 | − | 15.4569i | −0.741596 | − | 0.622273i | 0.191670 | − | 0.981459i | \(-0.438610\pi\) |
−0.933266 | + | 0.359187i | \(0.883054\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −6.45723 | − | 2.35024i | −0.259538 | − | 0.0944642i | 0.208974 | − | 0.977921i | \(-0.432988\pi\) |
−0.468512 | + | 0.883457i | \(0.655210\pi\) | |||||||
\(620\) | −29.9521 | −1.20291 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −31.5594 | −1.26542 | ||||||||
\(623\) | 1.54244 | + | 0.561403i | 0.0617967 | + | 0.0224921i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 5.53003 | + | 4.64025i | 0.221201 | + | 0.185610i | ||||
\(626\) | −11.7674 | + | 66.7363i | −0.470320 | + | 2.66732i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −1.74510 | + | 1.46431i | −0.0696371 | + | 0.0584324i | ||||
\(629\) | 3.53898 | + | 6.12970i | 0.141109 | + | 0.244407i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 17.6887 | − | 30.6377i | 0.704175 | − | 1.21967i | −0.262814 | − | 0.964847i | \(-0.584651\pi\) |
0.966989 | − | 0.254820i | \(-0.0820161\pi\) | |||||||
\(632\) | −0.528061 | − | 2.99479i | −0.0210052 | − | 0.119126i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 30.1891 | − | 10.9879i | 1.19896 | − | 0.436387i | ||||
\(635\) | −21.1889 | + | 7.71213i | −0.840856 | + | 0.306047i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 1.22059 | + | 6.92231i | 0.0483615 | + | 0.274272i | ||||
\(638\) | 7.49346 | − | 12.9791i | 0.296669 | − | 0.513846i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 3.51114 | + | 6.08148i | 0.138790 | + | 0.240392i | ||||
\(641\) | 14.6879 | − | 12.3246i | 0.580136 | − | 0.486792i | −0.304855 | − | 0.952399i | \(-0.598608\pi\) |
0.884992 | + | 0.465606i | \(0.154164\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 3.36468 | − | 19.0820i | 0.132690 | − | 0.752521i | −0.843751 | − | 0.536735i | \(-0.819657\pi\) |
0.976441 | − | 0.215786i | \(-0.0692315\pi\) | |||||||
\(644\) | −1.75400 | − | 1.47178i | −0.0691173 | − | 0.0579963i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 33.8259 | + | 12.3116i | 1.33086 | + | 0.484395i | ||||
\(647\) | −8.77141 | −0.344840 | −0.172420 | − | 0.985024i | \(-0.555159\pi\) | ||||
−0.172420 | + | 0.985024i | \(0.555159\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 29.0009 | 1.13839 | ||||||||
\(650\) | −75.9728 | − | 27.6518i | −2.97990 | − | 1.08459i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 3.99273 | + | 3.35029i | 0.156367 | + | 0.131208i | ||||
\(653\) | −5.69729 | + | 32.3109i | −0.222952 | + | 1.26442i | 0.643609 | + | 0.765354i | \(0.277436\pi\) |
−0.866562 | + | 0.499070i | \(0.833675\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 29.3444 | − | 24.6228i | 1.14658 | − | 0.962094i | ||||
\(656\) | 5.28039 | + | 9.14590i | 0.206164 | + | 0.357087i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0.549163 | − | 0.951178i | 0.0214086 | − | 0.0370808i | ||||
\(659\) | −3.23882 | − | 18.3682i | −0.126166 | − | 0.715525i | −0.980608 | − | 0.195978i | \(-0.937212\pi\) |
0.854442 | − | 0.519547i | \(-0.173899\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −34.2117 | + | 12.4520i | −1.33068 | + | 0.484329i | −0.906866 | − | 0.421420i | \(-0.861532\pi\) |
−0.423816 | + | 0.905748i | \(0.639310\pi\) | |||||||
\(662\) | −58.4492 | + | 21.2738i | −2.27169 | + | 0.826829i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −0.466319 | − | 2.64462i | −0.0180967 | − | 0.102631i | ||||
\(665\) | −27.0515 | + | 46.8546i | −1.04901 | + | 1.81694i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.906422 | + | 1.56997i | 0.0350968 | + | 0.0607894i | ||||
\(668\) | −5.51125 | + | 4.62449i | −0.213237 | + | 0.178927i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −18.1027 | + | 102.665i | −0.699367 | + | 3.96631i | ||||
\(671\) | 6.13300 | + | 5.14620i | 0.236762 | + | 0.198667i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −37.0146 | − | 13.4722i | −1.42681 | − | 0.519316i | −0.490793 | − | 0.871276i | \(-0.663293\pi\) |
−0.936015 | + | 0.351960i | \(0.885515\pi\) | |||||||
\(674\) | −11.8276 | −0.455584 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 17.3824 | 0.668553 | ||||||||
\(677\) | 29.7651 | + | 10.8336i | 1.14397 | + | 0.416370i | 0.843345 | − | 0.537373i | \(-0.180583\pi\) |
0.300623 | + | 0.953743i | \(0.402806\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 12.7424 | + | 10.6922i | 0.489009 | + | 0.410327i | ||||
\(680\) | −0.448204 | + | 2.54189i | −0.0171878 | + | 0.0974770i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −14.1518 | + | 11.8748i | −0.541901 | + | 0.454709i | ||||
\(683\) | −14.5328 | − | 25.1716i | −0.556083 | − | 0.963164i | −0.997818 | − | 0.0660187i | \(-0.978970\pi\) |
0.441735 | − | 0.897145i | \(-0.354363\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −35.3225 | + | 61.1804i | −1.34960 | + | 2.33758i | ||||
\(686\) | −6.81612 | − | 38.6562i | −0.260241 | − | 1.47590i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 4.22668 | − | 1.53839i | 0.161141 | − | 0.0586504i | ||||
\(689\) | 20.6869 | − | 7.52940i | 0.788107 | − | 0.286847i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 0.930303 | + | 5.27601i | 0.0353904 | + | 0.200709i | 0.997376 | − | 0.0723898i | \(-0.0230626\pi\) |
−0.961986 | + | 0.273099i | \(0.911951\pi\) | |||||||
\(692\) | 6.60549 | − | 11.4410i | 0.251103 | − | 0.434923i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −22.6805 | − | 39.2838i | −0.860940 | − | 1.49119i | ||||
\(695\) | −66.0808 | + | 55.4484i | −2.50659 | + | 2.10328i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −1.27348 | + | 7.22227i | −0.0482365 | + | 0.273563i | ||||
\(698\) | 17.4513 | + | 14.6434i | 0.660541 | + | 0.554260i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 36.0749 | + | 13.1302i | 1.36350 | + | 0.496275i | ||||
\(701\) | 25.6536 | 0.968922 | 0.484461 | − | 0.874813i | \(-0.339016\pi\) | ||||
0.484461 | + | 0.874813i | \(0.339016\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −15.0155 | −0.566320 | ||||||||
\(704\) | −14.3459 | − | 5.22147i | −0.540680 | − | 0.196791i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −3.22075 | − | 2.70253i | −0.121215 | − | 0.101711i | ||||
\(707\) | −1.90641 | + | 10.8118i | −0.0716980 | + | 0.406620i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −3.59311 | + | 3.01498i | −0.134942 | + | 0.113230i | −0.707761 | − | 0.706452i | \(-0.750294\pi\) |
0.572818 | + | 0.819682i | \(0.305850\pi\) | |||||||
\(710\) | 4.38571 | + | 7.59627i | 0.164593 | + | 0.285083i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −0.0830629 | + | 0.143869i | −0.00311291 | + | 0.00539173i | ||||
\(713\) | −0.388040 | − | 2.20068i | −0.0145322 | − | 0.0824163i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −35.7438 | + | 13.0097i | −1.33674 | + | 0.486535i | ||||
\(716\) | 25.4052 | − | 9.24675i | 0.949438 | − | 0.345567i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 8.28493 | + | 46.9862i | 0.309191 | + | 1.75351i | ||||
\(719\) | 19.5335 | − | 33.8330i | 0.728476 | − | 1.26176i | −0.229052 | − | 0.973414i | \(-0.573562\pi\) |
0.957527 | − | 0.288343i | \(-0.0931042\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −15.9893 | − | 27.6943i | −0.595473 | − | 1.03139i | ||||
\(722\) | −29.8316 | + | 25.0317i | −1.11022 | + | 0.931583i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 4.30793 | − | 24.4315i | 0.160103 | − | 0.907990i | ||||
\(725\) | −23.2840 | − | 19.5376i | −0.864747 | − | 0.725609i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 10.1725 | + | 3.70247i | 0.377276 | + | 0.137317i | 0.523696 | − | 0.851905i | \(-0.324553\pi\) |
−0.146420 | + | 0.989223i | \(0.546775\pi\) | |||||||
\(728\) | 2.63030 | 0.0974853 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 34.1215 | 1.26290 | ||||||||
\(731\) | 2.93512 | + | 1.06830i | 0.108559 | + | 0.0395124i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −2.61406 | − | 2.19345i | −0.0965524 | − | 0.0810171i | 0.593234 | − | 0.805030i | \(-0.297851\pi\) |
−0.689786 | + | 0.724013i | \(0.742295\pi\) | |||||||
\(734\) | 0.969561 | − | 5.49866i | 0.0357872 | − | 0.202959i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 3.12108 | − | 2.61890i | 0.115045 | − | 0.0965339i | ||||
\(737\) | 15.5749 | + | 26.9766i | 0.573710 | + | 0.993695i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −13.1505 | + | 22.7773i | −0.483748 | + | 0.837877i | −0.999826 | − | 0.0186653i | \(-0.994058\pi\) |
0.516077 | + | 0.856542i | \(0.327392\pi\) | |||||||
\(740\) | 2.91317 | + | 16.5214i | 0.107090 | + | 0.607339i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −20.2763 | + | 7.37997i | −0.744367 | + | 0.270927i | ||||
\(743\) | 27.1984 | − | 9.89940i | 0.997811 | − | 0.363174i | 0.209071 | − | 0.977900i | \(-0.432956\pi\) |
0.788740 | + | 0.614727i | \(0.210734\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 9.96703 | + | 56.5259i | 0.365164 | + | 2.07095i | ||||
\(746\) | −28.3953 | + | 49.1822i | −1.03963 | + | 1.80069i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −6.00862 | − | 10.4072i | −0.219697 | − | 0.380526i | ||||
\(749\) | −20.9194 | + | 17.5535i | −0.764380 | + | 0.641391i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −3.37716 | + | 19.1528i | −0.123234 | + | 0.698897i | 0.859106 | + | 0.511797i | \(0.171020\pi\) |
−0.982341 | + | 0.187100i | \(0.940091\pi\) | |||||||
\(752\) | 0.769193 | + | 0.645430i | 0.0280496 | + | 0.0235364i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 30.4923 | + | 11.0983i | 1.11046 | + | 0.404176i | ||||
\(755\) | −21.8460 | −0.795058 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 6.59627 | 0.239745 | 0.119873 | − | 0.992789i | \(-0.461751\pi\) | ||||
0.119873 | + | 0.992789i | \(0.461751\pi\) | |||||||
\(758\) | 59.5941 | + | 21.6905i | 2.16455 | + | 0.787833i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −4.19459 | − | 3.51968i | −0.152154 | − | 0.127672i | ||||
\(761\) | −1.79373 | + | 10.1728i | −0.0650228 | + | 0.368763i | 0.934882 | + | 0.354959i | \(0.115505\pi\) |
−0.999905 | + | 0.0138038i | \(0.995606\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −26.2600 | + | 22.0347i | −0.950674 | + | 0.797710i | ||||
\(764\) | −12.6138 | − | 21.8478i | −0.456352 | − | 0.790424i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −0.662037 | + | 1.14668i | −0.0239204 | + | 0.0414313i | ||||
\(767\) | 10.9037 | + | 61.8380i | 0.393710 | + | 2.23284i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −42.1536 | + | 15.3427i | −1.52010 | + | 0.553271i | −0.961173 | − | 0.275947i | \(-0.911009\pi\) |
−0.558926 | + | 0.829217i | \(0.688786\pi\) | |||||||
\(770\) | 35.0344 | − | 12.7515i | 1.26255 | − | 0.459532i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 4.89693 | + | 27.7718i | 0.176244 | + | 0.999531i | ||||
\(773\) | 21.4677 | − | 37.1832i | 0.772141 | − | 1.33739i | −0.164247 | − | 0.986419i | \(-0.552519\pi\) |
0.936388 | − | 0.350968i | \(-0.114147\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 18.7335 | + | 32.4475i | 0.672929 | + | 1.16555i | ||||
\(776\) | −1.28963 | + | 1.08213i | −0.0462951 | + | 0.0388462i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −1.45677 | + | 8.26173i | −0.0522276 | + | 0.296198i | ||||
\(779\) | −11.9181 | − | 10.0005i | −0.427010 | − | 0.358304i | ||||
\(780\) | 0 | 0 | ||||||||