Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [644,2,Mod(9,644)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(644, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 22, 30]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("644.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 644 = 2^{2} \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 644.y (of order \(33\), degree \(20\), 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: | \(5.14236589017\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 261.7 | ||
Character | \(\chi\) | \(=\) | 644.261 |
Dual form | 644.2.y.a.417.7 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/644\mathbb{Z}\right)^\times\).
\(n\) | \(185\) | \(281\) | \(323\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{3}{11}\right)\) | \(1\) |
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 | 0 | ||||||||
\(3\) | −0.197213 | + | 0.276947i | −0.113861 | + | 0.159895i | −0.867574 | − | 0.497309i | \(-0.834322\pi\) |
0.753713 | + | 0.657204i | \(0.228261\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 1.19919 | − | 0.231125i | 0.536294 | − | 0.103362i | 0.0860889 | − | 0.996287i | \(-0.472563\pi\) |
0.450205 | + | 0.892925i | \(0.351351\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.50207 | + | 0.860036i | 0.945692 | + | 0.325063i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.943397 | + | 2.72577i | 0.314466 | + | 0.908589i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −2.76318 | + | 2.17299i | −0.833132 | + | 0.655182i | −0.940784 | − | 0.339007i | \(-0.889909\pi\) |
0.107652 | + | 0.994189i | \(0.465667\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.06291 | + | 1.96841i | −0.849498 | + | 0.545939i | −0.891418 | − | 0.453182i | \(-0.850289\pi\) |
0.0419200 | + | 0.999121i | \(0.486653\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.172486 | + | 0.377692i | −0.0445357 | + | 0.0975196i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 1.05715 | + | 1.00799i | 0.256395 | + | 0.244473i | 0.807364 | − | 0.590053i | \(-0.200893\pi\) |
−0.550969 | + | 0.834526i | \(0.685742\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.83097 | − | 2.69932i | 0.649469 | − | 0.619268i | −0.291979 | − | 0.956425i | \(-0.594314\pi\) |
0.941448 | + | 0.337157i | \(0.109465\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.731623 | + | 0.523329i | −0.159653 | + | 0.114200i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 4.64971 | − | 1.17480i | 0.969532 | − | 0.244963i | ||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.25720 | + | 1.30399i | −0.651441 | + | 0.260798i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −1.91959 | − | 0.563643i | −0.369426 | − | 0.108473i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −3.72259 | + | 1.09305i | −0.691267 | + | 0.202974i | −0.608452 | − | 0.793590i | \(-0.708209\pi\) |
−0.0828152 | + | 0.996565i | \(0.526391\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 7.59757 | − | 0.725480i | 1.36456 | − | 0.130300i | 0.613064 | − | 0.790033i | \(-0.289937\pi\) |
0.751500 | + | 0.659733i | \(0.229331\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −0.0568675 | − | 1.19380i | −0.00989936 | − | 0.207813i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 3.19923 | + | 0.453056i | 0.540768 | + | 0.0765804i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.05309 | − | 5.93201i | −0.337526 | − | 0.975217i | −0.978247 | − | 0.207443i | \(-0.933486\pi\) |
0.640721 | − | 0.767774i | \(-0.278635\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0.0588998 | − | 1.23646i | 0.00943151 | − | 0.197992i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 7.13579 | + | 8.23515i | 1.11442 | + | 1.28611i | 0.954245 | + | 0.299026i | \(0.0966616\pi\) |
0.160179 | + | 0.987088i | \(0.448793\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.85154 | + | 6.24400i | 0.434856 | + | 0.952201i | 0.992514 | + | 0.122130i | \(0.0389726\pi\) |
−0.557659 | + | 0.830070i | \(0.688300\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 1.76130 | + | 3.05067i | 0.262560 | + | 0.454767i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −4.11529 | + | 7.12788i | −0.600276 | + | 1.03971i | 0.392503 | + | 0.919751i | \(0.371609\pi\) |
−0.992779 | + | 0.119958i | \(0.961724\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 5.52068 | + | 4.30373i | 0.788668 | + | 0.614819i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −0.487641 | + | 0.0939851i | −0.0682834 | + | 0.0131605i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −0.200219 | + | 4.20312i | −0.0275022 | + | 0.577342i | 0.942494 | + | 0.334223i | \(0.108474\pi\) |
−0.969996 | + | 0.243120i | \(0.921829\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −2.81135 | + | 3.24447i | −0.379082 | + | 0.437484i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0.189265 | + | 1.31637i | 0.0250688 | + | 0.174357i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −3.86859 | − | 1.99440i | −0.503647 | − | 0.259648i | 0.187627 | − | 0.982240i | \(-0.439920\pi\) |
−0.691275 | + | 0.722592i | \(0.742951\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.19051 | − | 4.48044i | −0.408503 | − | 0.573662i | 0.558154 | − | 0.829737i | \(-0.311510\pi\) |
−0.966657 | + | 0.256075i | \(0.917570\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0.0161860 | + | 7.63141i | 0.00203925 | + | 0.961467i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −3.21806 | + | 3.06841i | −0.399151 | + | 0.380590i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 9.04338 | − | 3.62042i | 1.10482 | − | 0.442305i | 0.253708 | − | 0.967281i | \(-0.418350\pi\) |
0.851117 | + | 0.524976i | \(0.175926\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −0.591626 | + | 1.51941i | −0.0712234 | + | 0.182915i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 2.02254 | − | 14.0671i | 0.240032 | − | 1.66946i | −0.411939 | − | 0.911212i | \(-0.635148\pi\) |
0.651970 | − | 0.758245i | \(-0.273943\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −1.95769 | − | 8.06970i | −0.229130 | − | 0.944487i | −0.963920 | − | 0.266192i | \(-0.914234\pi\) |
0.734790 | − | 0.678295i | \(-0.237281\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0.281227 | − | 1.15923i | 0.0324733 | − | 0.133857i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −8.78252 | + | 3.06054i | −1.00086 | + | 0.348780i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −0.576761 | − | 12.1077i | −0.0648907 | − | 1.36222i | −0.763077 | − | 0.646308i | \(-0.776312\pi\) |
0.698186 | − | 0.715916i | \(-0.253991\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −6.26723 | + | 4.92860i | −0.696358 | + | 0.547622i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 4.97214 | − | 5.73815i | 0.545763 | − | 0.629844i | −0.414128 | − | 0.910219i | \(-0.635913\pi\) |
0.959891 | + | 0.280375i | \(0.0904587\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.50069 | + | 0.964434i | 0.162772 | + | 0.104608i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0.431425 | − | 1.24652i | 0.0462537 | − | 0.133641i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −6.78039 | − | 0.647449i | −0.718720 | − | 0.0686294i | −0.270714 | − | 0.962660i | \(-0.587260\pi\) |
−0.448006 | + | 0.894031i | \(0.647866\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −9.35651 | + | 2.29089i | −0.980829 | + | 0.240150i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −1.29742 | + | 2.24719i | −0.134536 | + | 0.233023i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 2.77099 | − | 3.89131i | 0.284297 | − | 0.399240i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −3.18666 | − | 3.67761i | −0.323557 | − | 0.373404i | 0.570546 | − | 0.821265i | \(-0.306731\pi\) |
−0.894103 | + | 0.447861i | \(0.852186\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −8.52985 | − | 5.48180i | −0.857283 | − | 0.550942i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 17.2520 | + | 3.32504i | 1.71663 | + | 0.330854i | 0.950240 | − | 0.311518i | \(-0.100837\pi\) |
0.766393 | + | 0.642372i | \(0.222049\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 14.1042 | + | 5.64646i | 1.38973 | + | 0.556362i | 0.941334 | − | 0.337475i | \(-0.109573\pi\) |
0.448391 | + | 0.893837i | \(0.351997\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −0.756400 | + | 0.796666i | −0.0738171 | + | 0.0777467i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −4.11307 | − | 5.77600i | −0.397626 | − | 0.558387i | 0.566422 | − | 0.824115i | \(-0.308327\pi\) |
−0.964048 | + | 0.265728i | \(0.914388\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −5.95518 | − | 5.67826i | −0.570403 | − | 0.543878i | 0.349037 | − | 0.937109i | \(-0.386509\pi\) |
−0.919440 | + | 0.393231i | \(0.871357\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 2.04775 | + | 0.601272i | 0.194363 | + | 0.0570702i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 1.15111 | − | 8.00612i | 0.108287 | − | 0.753152i | −0.861245 | − | 0.508189i | \(-0.830315\pi\) |
0.969532 | − | 0.244963i | \(-0.0787759\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 5.30436 | − | 2.48347i | 0.494634 | − | 0.231585i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −8.25498 | − | 6.49178i | −0.763173 | − | 0.600166i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 1.77814 | + | 3.43123i | 0.163002 | + | 0.314541i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.319946 | − | 1.31883i | 0.0290860 | − | 0.119894i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −3.68796 | + | 0.352158i | −0.332533 | + | 0.0317530i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −8.74156 | + | 5.61786i | −0.781869 | + | 0.502477i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.92999 | − | 13.4234i | −0.171259 | − | 1.19113i | −0.876230 | − | 0.481894i | \(-0.839949\pi\) |
0.704971 | − | 0.709236i | \(-0.250960\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −2.29161 | − | 0.441672i | −0.201765 | − | 0.0388871i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −9.75237 | + | 5.02770i | −0.852069 | + | 0.439272i | −0.828193 | − | 0.560443i | \(-0.810631\pi\) |
−0.0238757 | + | 0.999715i | \(0.507601\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 9.40479 | − | 4.31916i | 0.815499 | − | 0.374518i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −2.43223 | − | 0.232249i | −0.209333 | − | 0.0199888i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 4.13517 | + | 7.16233i | 0.353292 | + | 0.611919i | 0.986824 | − | 0.161797i | \(-0.0517289\pi\) |
−0.633532 | + | 0.773716i | \(0.718396\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 9.31077 | 0.789729 | 0.394864 | − | 0.918739i | \(-0.370792\pi\) | ||||
0.394864 | + | 0.918739i | \(0.370792\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −1.16246 | − | 2.54542i | −0.0978964 | − | 0.214363i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 4.18604 | − | 12.0948i | 0.350054 | − | 1.01142i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −4.21146 | + | 2.17116i | −0.349742 | + | 0.180305i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −2.28065 | + | 0.680181i | −0.188105 | + | 0.0561004i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −15.9743 | − | 6.39514i | −1.30866 | − | 0.523910i | −0.390679 | − | 0.920527i | \(-0.627760\pi\) |
−0.917984 | + | 0.396617i | \(0.870184\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −3.50907 | − | 1.80905i | −0.285564 | − | 0.147219i | 0.309493 | − | 0.950902i | \(-0.399841\pi\) |
−0.595058 | + | 0.803683i | \(0.702871\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −1.75023 | + | 3.83246i | −0.141498 | + | 0.309836i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 8.94324 | − | 2.62597i | 0.718339 | − | 0.210923i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.04802 | + | 4.32002i | 0.0836415 | + | 0.344775i | 0.998220 | − | 0.0596326i | \(-0.0189929\pi\) |
−0.914579 | + | 0.404407i | \(0.867478\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −1.12455 | − | 0.884358i | −0.0891828 | − | 0.0701341i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 12.6443 | + | 1.05949i | 0.996508 | + | 0.0834995i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −16.8321 | − | 13.2369i | −1.31839 | − | 1.03680i | −0.995922 | − | 0.0902156i | \(-0.971244\pi\) |
−0.322470 | − | 0.946580i | \(-0.604513\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −0.344111 | − | 1.41844i | −0.0267890 | − | 0.110426i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −10.9660 | + | 3.21990i | −0.848573 | + | 0.249163i | −0.676977 | − | 0.736004i | \(-0.736710\pi\) |
−0.171596 | + | 0.985167i | \(0.554892\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 0.106372 | − | 0.232923i | 0.00818249 | − | 0.0179171i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 10.0285 | + | 5.17003i | 0.766896 | + | 0.395362i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −2.89309 | − | 1.15822i | −0.219958 | − | 0.0880578i | 0.259066 | − | 0.965859i | \(-0.416585\pi\) |
−0.479024 | + | 0.877802i | \(0.659009\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −9.27122 | + | 0.461353i | −0.700838 | + | 0.0348750i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 1.31528 | − | 0.678072i | 0.0988622 | − | 0.0509670i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 3.64749 | − | 10.5387i | 0.272626 | − | 0.787702i | −0.722703 | − | 0.691159i | \(-0.757100\pi\) |
0.995329 | − | 0.0965427i | \(-0.0307784\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0.765806 | + | 1.67688i | 0.0569219 | + | 0.124642i | 0.935956 | − | 0.352118i | \(-0.114538\pi\) |
−0.879034 | + | 0.476760i | \(0.841811\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 1.87005 | 0.138238 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −3.83308 | − | 6.63908i | −0.281813 | − | 0.488115i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −5.11144 | − | 0.488083i | −0.373785 | − | 0.0356922i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −4.31819 | − | 3.06119i | −0.314102 | − | 0.222669i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −11.0775 | + | 5.71086i | −0.801541 | + | 0.413223i | −0.809773 | − | 0.586743i | \(-0.800410\pi\) |
0.00823231 | + | 0.999966i | \(0.497380\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −17.1329 | − | 3.30209i | −1.23325 | − | 0.237690i | −0.469344 | − | 0.883015i | \(-0.655510\pi\) |
−0.763908 | + | 0.645326i | \(0.776722\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −0.215144 | − | 1.49636i | −0.0154068 | − | 0.107157i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 7.90439 | − | 5.07984i | 0.563165 | − | 0.361924i | −0.227874 | − | 0.973691i | \(-0.573177\pi\) |
0.791038 | + | 0.611767i | \(0.209541\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 24.3286 | − | 2.32310i | 1.72461 | − | 0.164680i | 0.814809 | − | 0.579730i | \(-0.196842\pi\) |
0.909799 | + | 0.415050i | \(0.136236\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −0.780806 | + | 3.21853i | −0.0550738 | + | 0.227017i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −10.2542 | − | 0.466673i | −0.719706 | − | 0.0327540i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 10.4605 | + | 8.22624i | 0.730594 | + | 0.574545i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 7.58876 | + | 11.5657i | 0.527455 | + | 0.803874i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −1.95688 | + | 13.6104i | −0.135360 | + | 0.941452i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 10.6625 | + | 3.13078i | 0.734033 | + | 0.215532i | 0.627324 | − | 0.778759i | \(-0.284150\pi\) |
0.106710 | + | 0.994290i | \(0.465968\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 3.49696 | + | 3.33434i | 0.239608 | + | 0.228466i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 4.86268 | + | 6.82867i | 0.331632 | + | 0.465712i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 19.6336 | + | 4.71898i | 1.33281 | + | 0.320345i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 2.62096 | + | 1.04927i | 0.177108 | + | 0.0709032i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −5.22207 | − | 1.00647i | −0.351275 | − | 0.0677027i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −12.2722 | − | 7.88690i | −0.821811 | − | 0.528146i | 0.0608553 | − | 0.998147i | \(-0.480617\pi\) |
−0.882666 | + | 0.470001i | \(0.844254\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −6.62721 | − | 7.64820i | −0.441814 | − | 0.509880i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −0.563984 | + | 0.792005i | −0.0374330 | + | 0.0525672i | −0.832868 | − | 0.553471i | \(-0.813303\pi\) |
0.795435 | + | 0.606038i | \(0.207242\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 8.68120 | − | 15.0363i | 0.573670 | − | 0.993625i | −0.422515 | − | 0.906356i | \(-0.638853\pi\) |
0.996185 | − | 0.0872690i | \(-0.0278140\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0.884421 | − | 3.03587i | 0.0581906 | − | 0.199745i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −26.6366 | − | 2.54349i | −1.74502 | − | 0.166629i | −0.826747 | − | 0.562573i | \(-0.809811\pi\) |
−0.918275 | + | 0.395944i | \(0.870417\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −3.28757 | + | 9.49882i | −0.214458 | + | 0.619635i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 3.46693 | + | 2.22806i | 0.225202 | + | 0.144728i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −5.68332 | + | 6.55890i | −0.367624 | + | 0.424260i | −0.909179 | − | 0.416405i | \(-0.863290\pi\) |
0.541556 | + | 0.840665i | \(0.317835\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 7.41213 | − | 5.82896i | 0.477457 | − | 0.375476i | −0.350232 | − | 0.936663i | \(-0.613897\pi\) |
0.827689 | + | 0.561187i | \(0.189655\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −0.414564 | − | 8.70277i | −0.0265943 | − | 0.558283i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 7.61503 | + | 3.88502i | 0.486507 | + | 0.248205i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −3.35762 | + | 13.8403i | −0.213640 | + | 0.880638i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0.608593 | + | 2.50865i | 0.0385680 | + | 0.158979i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −1.79439 | + | 12.4802i | −0.113261 | + | 0.787745i | 0.851450 | + | 0.524435i | \(0.175723\pi\) |
−0.964711 | + | 0.263310i | \(0.915186\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −10.2952 | + | 13.3500i | −0.647253 | + | 0.839306i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −0.563051 | + | 0.225412i | −0.0352596 | + | 0.0141158i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 14.0370 | − | 13.3843i | 0.875607 | − | 0.834889i | −0.111696 | − | 0.993742i | \(-0.535628\pi\) |
0.987302 | + | 0.158853i | \(0.0507797\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.0352252 | − | 16.6080i | −0.00218879 | − | 1.03197i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −6.49128 | − | 9.11573i | −0.401800 | − | 0.564250i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −9.03647 | − | 4.65862i | −0.557213 | − | 0.287263i | 0.156528 | − | 0.987674i | \(-0.449970\pi\) |
−0.713740 | + | 0.700411i | \(0.753000\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.731344 | + | 5.08661i | 0.0449261 | + | 0.312468i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 1.51649 | − | 1.75012i | 0.0928075 | − | 0.107106i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −1.30077 | + | 27.3066i | −0.0793097 | + | 1.66491i | 0.512388 | + | 0.858754i | \(0.328761\pi\) |
−0.591697 | + | 0.806160i | \(0.701542\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 31.5630 | − | 6.08326i | 1.91731 | − | 0.369532i | 0.917699 | − | 0.397277i | \(-0.130045\pi\) |
0.999615 | + | 0.0277456i | \(0.00883283\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 1.21077 | − | 3.04304i | 0.0732791 | − | 0.184173i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 6.16670 | − | 10.6810i | 0.371866 | − | 0.644091i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 5.34566 | + | 9.25896i | 0.321190 | + | 0.556317i | 0.980734 | − | 0.195349i | \(-0.0625840\pi\) |
−0.659544 | + | 0.751666i | \(0.729251\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 9.14502 | + | 20.0248i | 0.547498 | + | 1.19885i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 7.82872 | + | 9.03482i | 0.467022 | + | 0.538972i | 0.939581 | − | 0.342327i | \(-0.111215\pi\) |
−0.472559 | + | 0.881299i | \(0.656670\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 0.684220 | − | 14.3636i | 0.0406727 | − | 0.853825i | −0.882704 | − | 0.469929i | \(-0.844279\pi\) |
0.923377 | − | 0.383895i | \(-0.125418\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0.531210 | + | 1.53483i | 0.0314662 | + | 0.0909155i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 10.7717 | + | 26.7419i | 0.635834 | + | 1.57853i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −0.707372 | − | 14.8496i | −0.0416101 | − | 0.873504i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 1.64695 | − | 0.157265i | 0.0965460 | − | 0.00921902i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −16.8794 | + | 4.95625i | −0.986107 | + | 0.289547i | −0.734743 | − | 0.678345i | \(-0.762697\pi\) |
−0.251364 | + | 0.967893i | \(0.580879\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −5.10012 | − | 1.49753i | −0.296941 | − | 0.0871896i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 6.52898 | − | 2.61381i | 0.378850 | − | 0.151669i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −11.9292 | + | 12.7509i | −0.689881 | + | 0.737402i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.76468 | + | 18.0753i | 0.101714 | + | 1.04184i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −4.32316 | + | 4.12213i | −0.248359 | + | 0.236810i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −4.86157 | − | 4.63549i | −0.278372 | − | 0.265428i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −1.67747 | + | 3.67315i | −0.0957382 | + | 0.209637i | −0.951442 | − | 0.307829i | \(-0.900398\pi\) |
0.855703 | + | 0.517467i | \(0.173125\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −4.34529 | + | 2.79255i | −0.247195 | + | 0.158863i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −1.26415 | + | 0.994138i | −0.0716833 | + | 0.0563724i | −0.653358 | − | 0.757049i | \(-0.726640\pi\) |
0.581674 | + | 0.813422i | \(0.302398\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −8.72307 | − | 25.2037i | −0.493057 | − | 1.42460i | −0.867543 | − | 0.497363i | \(-0.834302\pi\) |
0.374486 | − | 0.927233i | \(-0.377819\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 1.78322 | + | 9.14776i | 0.100473 | + | 0.515418i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 27.7228 | − | 5.34312i | 1.55707 | − | 0.300100i | 0.663203 | − | 0.748440i | \(-0.269197\pi\) |
0.893863 | + | 0.448340i | \(0.147985\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 7.91101 | − | 11.1095i | 0.442932 | − | 0.622010i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 2.41079 | 0.134557 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 5.71363 | 0.317915 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 7.40974 | − | 10.4055i | 0.411018 | − | 0.577194i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 2.74701 | − | 0.529443i | 0.151910 | − | 0.0292783i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −16.4270 | + | 14.2951i | −0.905647 | + | 0.788117i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −3.61273 | − | 10.4383i | −0.198573 | − | 0.573740i | 0.801120 | − | 0.598504i | \(-0.204238\pi\) |
−0.999693 | + | 0.0247637i | \(0.992117\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 14.2324 | − | 11.1925i | 0.779931 | − | 0.613345i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 10.0080 | − | 6.43172i | 0.546793 | − | 0.351402i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −10.1557 | + | 22.2379i | −0.553216 | + | 1.21137i | 0.402048 | + | 0.915619i | \(0.368299\pi\) |
−0.955264 | + | 0.295755i | \(0.904429\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 1.99025 | + | 1.89770i | 0.108096 | + | 0.103069i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −19.4170 | + | 18.5141i | −1.05149 | + | 1.00259i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 10.1117 | + | 15.5162i | 0.545983 | + | 0.837796i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −0.358298 | + | 1.95880i | −0.0192901 | + | 0.105458i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −18.0919 | + | 7.24290i | −0.971224 | + | 0.388819i | −0.802373 | − | 0.596822i | \(-0.796430\pi\) |
−0.168850 | + | 0.985642i | \(0.554005\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 23.7677 | + | 6.97883i | 1.27226 | + | 0.373568i | 0.847043 | − | 0.531525i | \(-0.178381\pi\) |
0.425213 | + | 0.905093i | \(0.360199\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 6.98902 | − | 2.05216i | 0.373046 | − | 0.109536i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 7.50007 | − | 0.716170i | 0.399188 | − | 0.0381179i | 0.106468 | − | 0.994316i | \(-0.466046\pi\) |
0.292720 | + | 0.956198i | \(0.405440\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.825842 | − | 17.3366i | −0.0438311 | − | 0.920129i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −1.30094 | − | 0.184232i | −0.0688531 | − | 0.00975057i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 4.46238 | + | 12.8932i | 0.235515 | + | 0.680476i | 0.999384 | + | 0.0351045i | \(0.0111764\pi\) |
−0.763868 | + | 0.645372i | \(0.776702\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −0.176018 | + | 3.69506i | −0.00926408 | + | 0.194477i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0.302149 | + | 0.348699i | 0.0158587 | + | 0.0183019i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −4.21274 | − | 9.22462i | −0.220505 | − | 0.482839i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 3.54068 | + | 6.13264i | 0.184822 | + | 0.320121i | 0.943517 | − | 0.331325i | \(-0.107496\pi\) |
−0.758694 | + | 0.651447i | \(0.774162\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −15.7152 | + | 27.2195i | −0.818101 | + | 1.41699i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −4.11579 | + | 10.3443i | −0.213681 | + | 0.537048i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 23.7968 | − | 4.58645i | 1.23215 | − | 0.237477i | 0.468708 | − | 0.883353i | \(-0.344720\pi\) |
0.763442 | + | 0.645876i | \(0.223508\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0.168100 | − | 3.52886i | 0.00868066 | − | 0.182229i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 9.25038 | − | 10.6755i | 0.476419 | − | 0.549817i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −2.36344 | − | 16.4381i | −0.121402 | − | 0.844369i | −0.955970 | − | 0.293464i | \(-0.905192\pi\) |
0.834568 | − | 0.550905i | \(-0.185717\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 4.09817 | + | 2.11275i | 0.209956 | + | 0.108240i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 11.6031 | + | 16.2943i | 0.592892 | + | 0.832600i | 0.996609 | − | 0.0822836i | \(-0.0262213\pi\) |
−0.403717 | + | 0.914884i | \(0.632282\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −9.82454 | + | 5.70002i | −0.500705 | + | 0.290500i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −14.3296 | + | 13.6632i | −0.728412 | + | 0.694540i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 5.94310 | − | 2.37926i | 0.301327 | − | 0.120633i | −0.216072 | − | 0.976377i | \(-0.569325\pi\) |
0.517399 | + | 0.855744i | \(0.326900\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 6.09961 | + | 3.44491i | 0.308470 | + | 0.174217i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0.530889 | − | 3.69241i | 0.0267798 | − | 0.186258i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −3.49004 | − | 14.3861i | −0.175603 | − | 0.723845i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 4.38298 | − | 18.0669i | 0.219975 | − | 0.906750i | −0.749587 | − | 0.661906i | \(-0.769748\pi\) |
0.969562 | − | 0.244845i | \(-0.0787369\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −0.658570 | + | 3.45642i | −0.0329697 | + | 0.173037i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 0.182279 | + | 3.82650i | 0.00910256 | + | 0.191086i | 0.998839 | + | 0.0481794i | \(0.0153419\pi\) |
−0.989736 | + | 0.142907i | \(0.954355\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −21.8426 | + | 17.1772i | −1.08806 | + | 0.855659i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −6.37647 | + | 7.35884i | −0.316849 | + | 0.365663i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 18.5633 | + | 11.9299i | 0.920148 | + | 0.591343i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 2.84950 | − | 8.23309i | 0.140899 | − | 0.407100i | −0.852369 | − | 0.522941i | \(-0.824835\pi\) |
0.993268 | + | 0.115840i | \(0.0369561\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −2.79909 | − | 0.267281i | −0.138069 | − | 0.0131840i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −7.96421 | − | 8.31723i | −0.391893 | − | 0.409264i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 4.63630 | − | 8.03031i | 0.227587 | − | 0.394193i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −1.83620 | + | 2.57858i | −0.0899192 | + | 0.126274i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 3.05886 | + | 3.53012i | 0.149435 | + | 0.172457i | 0.825532 | − | 0.564356i | \(-0.190875\pi\) |
−0.676097 | + | 0.736813i | \(0.736330\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 26.3366 | + | 16.9255i | 1.28357 | + | 0.824898i | 0.991323 | − | 0.131446i | \(-0.0419620\pi\) |
0.292243 | + | 0.956344i | \(0.405598\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −23.3113 | − | 4.49289i | −1.13343 | − | 0.218452i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −4.75774 | − | 1.90471i | −0.230784 | − | 0.0923921i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −4.12953 | − | 13.9543i | −0.199842 | − | 0.675297i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 2.52406 | + | 3.54455i | 0.121863 | + | 0.171133i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 16.2425 | + | 15.4872i | 0.782372 | + | 0.745990i | 0.971775 | − | 0.235909i | \(-0.0758067\pi\) |
−0.189403 | + | 0.981899i | \(0.560655\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −7.77776 | − | 2.28376i | −0.373775 | − | 0.109750i | 0.0894491 | − | 0.995991i | \(-0.471489\pi\) |
−0.463224 | + | 0.886241i | \(0.653308\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0.229259 | − | 1.59453i | 0.0109921 | − | 0.0764518i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 9.99203 | − | 15.8769i | 0.477984 | − | 0.759496i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 17.5163 | + | 13.7750i | 0.836007 | + | 0.657443i | 0.941513 | − | 0.336976i | \(-0.109404\pi\) |
−0.105507 | + | 0.994419i | \(0.533646\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −6.52278 | + | 19.1082i | −0.310609 | + | 0.909915i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 5.66075 | − | 23.3339i | 0.268950 | − | 1.10863i | −0.663744 | − | 0.747960i | \(-0.731034\pi\) |
0.932694 | − | 0.360668i | \(-0.117451\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −8.28061 | + | 0.790702i | −0.392539 | + | 0.0374829i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 4.92144 | − | 3.16282i | 0.232776 | − | 0.149596i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −0.0453443 | − | 0.315377i | −0.00213993 | − | 0.0148835i | 0.988724 | − | 0.149753i | \(-0.0478477\pi\) |
−0.990863 | + | 0.134869i | \(0.956939\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −37.6124 | − | 7.24920i | −1.77110 | − | 0.341352i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 1.19304 | − | 0.615057i | 0.0560541 | − | 0.0288979i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −10.6907 | + | 4.90973i | −0.501190 | + | 0.230172i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 28.8383 | + | 2.75373i | 1.34900 | + | 0.128814i | 0.744410 | − | 0.667723i | \(-0.232731\pi\) |
0.604590 | + | 0.796537i | \(0.293337\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −1.46114 | − | 2.53077i | −0.0682003 | − | 0.118126i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −21.3530 | −0.994507 | −0.497254 | − | 0.867605i | \(-0.665658\pi\) | ||||
−0.497254 | + | 0.867605i | \(0.665658\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −5.62685 | − | 12.3211i | −0.261502 | − | 0.572609i | 0.732649 | − | 0.680606i | \(-0.238283\pi\) |
−0.994151 | + | 0.107997i | \(0.965556\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −1.03647 | + | 2.99468i | −0.0480650 | + | 0.138875i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −12.6884 | + | 6.54135i | −0.587151 | + | 0.302698i | −0.726086 | − | 0.687604i | \(-0.758663\pi\) |
0.138935 | + | 0.990302i | \(0.455632\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 25.7408 | − | 1.28091i | 1.18860 | − | 0.0591470i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −1.40310 | − | 0.561715i | −0.0646513 | − | 0.0258825i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −21.4475 | − | 11.0569i | −0.986157 | − | 0.508399i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −5.70116 | + | 12.4838i | −0.261587 | + | 0.572796i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −11.6456 | + | 3.41946i | −0.533216 | + | 0.156566i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 6.35010 | + | 26.1755i | 0.290144 | + | 1.19599i | 0.911114 | + | 0.412154i | \(0.135224\pi\) |
−0.620970 | + | 0.783834i | \(0.713261\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 17.9651 | + | 14.1279i | 0.819137 | + | 0.644176i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −2.78703 | + | 3.29284i | −0.126814 | + | 0.149829i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −4.67140 | − | 3.67363i | −0.212117 | − | 0.166811i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −0.272194 | − | 1.12200i | −0.0123343 | − | 0.0508426i | 0.965312 | − | 0.261100i | \(-0.0840851\pi\) |
−0.977646 | + | 0.210257i | \(0.932570\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 6.98542 | − | 2.05111i | 0.315892 | − | 0.0927542i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 8.28629 | − | 18.1445i | 0.373955 | − | 0.818848i | −0.625305 | − | 0.780381i | \(-0.715025\pi\) |
0.999260 | − | 0.0384669i | \(-0.0122474\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −5.03710 | − | 2.59681i | −0.226860 | − | 0.116954i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −11.4959 | − | 4.60226i | −0.516702 | − | 0.206856i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 17.1587 | − | 33.4573i | 0.769674 | − | 1.50077i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −30.3138 | + | 15.6278i | −1.35703 | + | 0.699599i | −0.974509 | − | 0.224348i | \(-0.927975\pi\) |
−0.382523 | + | 0.923946i | \(0.624945\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 1.27089 | − | 3.67200i | 0.0567792 | − | 0.164053i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 4.85207 | + | 10.6245i | 0.216343 | + | 0.473725i | 0.986423 | − | 0.164222i | \(-0.0525113\pi\) |
−0.770081 | + | 0.637947i | \(0.779784\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 21.4569 | 0.954817 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0.0435292 | + | 0.0753948i | 0.00193320 | + | 0.00334840i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −19.2215 | − | 1.83543i | −0.851979 | − | 0.0813542i | −0.340077 | − | 0.940398i | \(-0.610453\pi\) |
−0.511903 | + | 0.859043i | \(0.671059\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 2.04196 | − | 21.8746i | 0.0903311 | − | 0.967675i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −6.95576 | + | 3.58594i | −0.307104 | + | 0.158323i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 18.2186 | + | 3.51135i | 0.802808 | + | 0.154729i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −4.11754 | − | 28.6381i | −0.181089 | − | 1.25950i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0.891319 | − | 0.572816i | 0.0391246 | − | 0.0251438i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 44.1931 | − | 4.21993i | 1.93614 | − | 0.184879i | 0.945918 | − | 0.324407i | \(-0.105165\pi\) |
0.990218 | + | 0.139528i | \(0.0445587\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −2.25024 | + | 9.27560i | −0.0983959 | + | 0.405593i | −0.999614 | − | 0.0277718i | \(-0.991159\pi\) |
0.901218 | + | 0.433365i | \(0.142674\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 1.70063 | − | 2.65862i | 0.0742217 | − | 0.116032i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 8.76301 | + | 6.89131i | 0.381723 | + | 0.300190i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 20.2397 | − | 10.9250i | 0.879986 | − | 0.474999i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 1.78664 | − | 12.4264i | 0.0775337 | − | 0.539259i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −38.0665 | − | 11.1773i | −1.64884 | − | 0.484143i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −6.26733 | − | 5.97589i | −0.270960 | − | 0.258360i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 2.19933 | + | 3.08853i | 0.0949083 | + | 0.133280i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −24.6066 | + | 0.104381i | −1.05988 | + | 0.00449599i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −22.2510 | − | 8.90797i | −0.956646 | − | 0.382983i | −0.159789 | − | 0.987151i | \(-0.551081\pi\) |
−0.796857 | + | 0.604168i | \(0.793506\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −0.615433 | − | 0.118615i | −0.0264108 | − | 0.00509026i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −8.45377 | − | 5.43291i | −0.362120 | − | 0.232720i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −17.5454 | − | 20.2484i | −0.750185 | − | 0.865760i | 0.244401 | − | 0.969674i | \(-0.421409\pi\) |
−0.994586 | + | 0.103914i | \(0.966863\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 9.20273 | − | 12.9234i | 0.392763 | − | 0.551558i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −7.58804 | + | 13.1429i | −0.323261 | + | 0.559905i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 8.96997 | − | 30.7903i | 0.381442 | − | 1.30934i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 2.59460 | + | 0.247755i | 0.110135 | + | 0.0105166i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 11.0358 | − | 31.8859i | 0.467602 | − | 1.35105i | −0.427028 | − | 0.904239i | \(-0.640439\pi\) |
0.894630 | − | 0.446808i | \(-0.147439\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −21.0248 | − | 13.5118i | −0.889253 | − | 0.571488i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 1.14321 | − | 1.31934i | 0.0482665 | − | 0.0557025i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −19.0242 | + | 14.9608i | −0.801775 | + | 0.630523i | −0.932612 | − | 0.360881i | \(-0.882476\pi\) |
0.130837 | + | 0.991404i | \(0.458234\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.470018 | − | 9.86690i | −0.0197738 | − | 0.415104i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −19.9198 | + | 6.94165i | −0.836553 | + | 0.291522i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −4.49737 | + | 18.5384i | −0.188540 | + | 0.777171i | 0.796471 | + | 0.604677i | \(0.206698\pi\) |
−0.985011 | + | 0.172494i | \(0.944817\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 9.54208 | + | 39.3330i | 0.399323 | + | 1.64603i | 0.716441 | + | 0.697648i | \(0.245770\pi\) |
−0.317118 | + | 0.948386i | \(0.602715\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0.603025 | − | 4.19413i | 0.0251917 | − | 0.175212i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −13.6131 | + | 9.88974i | −0.567707 | + | 0.412431i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −10.3189 | + | 4.13107i | −0.429582 | + | 0.171979i | −0.576369 | − | 0.817189i | \(-0.695531\pi\) |
0.146787 | + | 0.989168i | \(0.453107\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 4.29332 | − | 4.09368i | 0.178424 | − | 0.170127i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 17.3756 | − | 10.0810i | 0.720863 | − | 0.418232i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −8.58010 | − | 12.0491i | −0.355351 | − | 0.499021i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −11.3997 | − | 5.87695i | −0.471319 | − | 0.242982i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −2.73095 | − | 18.9942i | −0.112718 | − | 0.783973i | −0.965256 | − | 0.261307i | \(-0.915847\pi\) |
0.852538 | − | 0.522666i | \(-0.175062\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 19.5502 | − | 22.5621i | 0.805551 | − | 0.929656i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −0.152001 | + | 3.19090i | −0.00625251 | + | 0.131256i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 16.1804 | − | 3.11852i | 0.664451 | − | 0.128062i | 0.154136 | − | 0.988050i | \(-0.450741\pi\) |
0.510316 | + | 0.859987i | \(0.329529\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 2.92537 | + | 3.70372i | 0.119929 | + | 0.151838i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −4.15453 | + | 7.19586i | −0.170034 | + | 0.294507i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 10.3249 | + | 17.8833i | 0.421865 | + | 0.730691i | 0.996122 | − | 0.0879837i | \(-0.0280423\pi\) |
−0.574257 | + | 0.818675i | \(0.694709\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −12.4170 | − | 27.1895i | −0.506501 | − | 1.10908i | −0.974301 | − | 0.225248i | \(-0.927681\pi\) |
0.467801 | − | 0.883834i | \(-0.345047\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 18.3999 | + | 21.2347i | 0.749303 | + | 0.864742i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 0.0788601 | − | 1.65548i | 0.00320612 | − | 0.0673048i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 6.22214 | + | 17.9777i | 0.252549 | + | 0.729692i | 0.998005 | + | 0.0631373i | \(0.0201106\pi\) |
−0.745456 | + | 0.666555i | \(0.767768\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 2.15151 | − | 2.74784i | 0.0871835 | − | 0.111348i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −1.42587 | − | 29.9326i | −0.0576844 | − | 1.21094i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −10.4232 | + | 0.995299i | −0.420991 | + | 0.0401997i | −0.303402 | − | 0.952863i | \(-0.598123\pi\) |
−0.117589 | + | 0.993062i | \(0.537516\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −4.34117 | + | 1.27468i | −0.175053 | + | 0.0514002i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −13.6190 | − | 3.99889i | −0.548279 | − | 0.160989i | −0.00415104 | − | 0.999991i | \(-0.501321\pi\) |
−0.544128 | + | 0.839002i | \(0.683140\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −23.8986 | + | 9.56755i | −0.960565 | + | 0.384552i | −0.798344 | − | 0.602202i | \(-0.794290\pi\) |
−0.162222 | + | 0.986754i | \(0.551866\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −9.58772 | − | 0.365641i | −0.384742 | − | 0.0146727i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −16.4082 | − | 7.45134i | −0.657379 | − | 0.298531i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 3.51185 | − | 3.34854i | 0.140474 | − | 0.133942i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −3.38343 | − | 3.22610i | −0.135121 | − | 0.128838i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 3.80897 | − | 8.34049i | 0.151874 | − | 0.332557i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 15.7418 | − | 10.1167i | 0.626673 | − | 0.402738i | −0.188403 | − | 0.982092i | \(-0.560331\pi\) |
0.815076 | + | 0.579353i | \(0.196695\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −2.96983 | + | 2.33550i | −0.118040 | + | 0.0928278i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −5.41689 | − | 15.6511i | −0.214963 | − | 0.621094i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −25.3809 | − | 2.31498i | −1.00563 | − | 0.0917227i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 40.2517 | − | 7.75787i | 1.59233 | − | 0.306897i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −8.72045 | + | 12.2462i | −0.344437 | + | 0.483694i | −0.950064 | − | 0.312054i | \(-0.898983\pi\) |
0.605627 | + | 0.795748i | \(0.292922\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −43.6845 | −1.72275 | −0.861375 | − | 0.507970i | \(-0.830396\pi\) | ||||
−0.861375 | + | 0.507970i | \(0.830396\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −2.85016 | −0.112225 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −8.71930 | + | 12.2445i | −0.342791 | + | 0.481383i | −0.949600 | − | 0.313465i | \(-0.898510\pi\) |
0.606809 | + | 0.794848i | \(0.292449\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 15.0234 | − | 2.89553i | 0.589721 | − | 0.113659i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −5.17889 | + | 4.50680i | −0.202977 | + | 0.176636i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 9.76375 | + | 28.2105i | 0.382085 | + | 1.10396i | 0.958078 | + | 0.286508i | \(0.0924945\pi\) |
−0.575993 | + | 0.817455i | \(0.695384\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −10.5329 | + | 8.28317i | −0.411555 | + | 0.323650i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 20.1492 | − | 12.9491i | 0.786097 | − | 0.505194i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 1.89965 | − | 4.15966i | 0.0739999 | − | 0.162037i | −0.869017 | − | 0.494783i | \(-0.835248\pi\) |
0.943017 | + | 0.332745i | \(0.107975\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 31.2430 | + | 29.7901i | 1.21521 | + | 1.15870i | 0.982521 | + | 0.186151i | \(0.0596014\pi\) |
0.232691 | + | 0.972551i | \(0.425247\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 1.30860 | − | 1.24775i | 0.0508218 | − | 0.0484584i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 10.2799 | − | 7.35316i | 0.398636 | − | 0.285143i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −16.0249 | + | 9.45568i | −0.620485 | + | 0.366125i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 4.60449 | − | 1.84336i | 0.178020 | − | 0.0712684i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 18.5519 | + | 5.44734i | 0.716190 | + | 0.210292i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −34.4721 | + | 10.1219i | −1.32880 | + | 0.390171i | −0.867661 | − | 0.497156i | \(-0.834378\pi\) |
−0.461140 | + | 0.887327i | \(0.652559\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 6.98749 | − | 0.667224i | 0.268948 | − | 0.0256815i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −2.00494 | − | 42.0890i | −0.0770563 | − | 1.61761i | −0.624677 | − | 0.780883i | \(-0.714769\pi\) |
0.547621 | − | 0.836727i | \(-0.315534\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −4.81037 | − | 11.9423i | −0.184605 | − | 0.458302i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −0.108118 | − | 0.312387i | −0.00414310 | − | 0.0119707i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 2.06173 | − | 43.2810i | 0.0788898 | − | 1.65610i | −0.519186 | − | 0.854662i | \(-0.673765\pi\) |
0.598075 | − | 0.801440i | \(-0.295932\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 6.61425 | + | 7.63325i | 0.252717 | + | 0.291651i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 2.45220 | + | 5.36957i | 0.0935573 | + | 0.204862i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −7.66021 | − | 13.2679i | −0.291831 | − | 0.505466i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −10.3472 | + | 17.9219i | −0.393628 | + | 0.681783i | −0.992925 | − | 0.118743i | \(-0.962113\pi\) |
0.599297 | + | 0.800527i | \(0.295447\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −16.6277 | − | 21.0518i | −0.631635 | − | 0.799693i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 11.1654 | − | 2.15195i | 0.423527 | − | 0.0816281i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −0.757340 | + | 15.8985i | −0.0286863 | + | 0.602200i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 5.95749 | − | 6.87531i | 0.225333 | − | 0.260048i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 5.62714 | + | 39.1376i | 0.212534 | + | 1.47821i | 0.764654 | + | 0.644441i | \(0.222910\pi\) |
−0.552120 | + | 0.833765i | \(0.686181\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −21.8247 | − | 11.2514i | −0.823133 | − | 0.424354i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −1.98231 | − | 2.78377i | −0.0746583 | − | 0.104843i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 40.3059 | + | 23.1568i | 1.51586 | + | 0.870900i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −10.9939 | + | 10.4827i | −0.412885 | + | 0.393685i | −0.867852 | − | 0.496823i | \(-0.834500\pi\) |
0.454967 | + | 0.890509i | \(0.349651\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 32.4587 | − | 12.9945i | 1.21730 | − | 0.487332i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 34.4742 | − | 12.2989i | 1.29107 | − | 0.460598i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 2.22445 | − | 15.4714i | 0.0831898 | − | 0.578598i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −0.695642 | − | 2.86748i | −0.0259792 | − | 0.107088i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 9.28072 | − | 38.2557i | 0.346112 | − | 1.42670i | −0.486908 | − | 0.873453i | \(-0.661875\pi\) |
0.833021 | − | 0.553242i | \(-0.186609\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 30.4334 | + | 26.2579i | 1.13340 | + | 0.977896i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0.152545 | + | 3.20231i | 0.00567320 | + | 0.119095i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 10.6999 | − | 8.41450i | 0.397385 | − | 0.312507i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 6.43934 | − | 7.43139i | 0.238822 | − | 0.275615i | −0.623668 | − | 0.781689i | \(-0.714358\pi\) |
0.862490 | + | 0.506074i | \(0.168904\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −17.6301 | − | 11.3302i | −0.652965 | − | 0.419635i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −3.27937 | + | 9.47513i | −0.121292 | + | 0.350450i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −22.3162 | − | 2.13094i | −0.824268 | − | 0.0787081i | −0.325607 | − | 0.945505i | \(-0.605569\pi\) |
−0.498661 | + | 0.866797i | \(0.666175\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −2.57773 | + | 1.34278i | −0.0950808 | + | 0.0495292i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −17.1214 | + | 29.6551i | −0.630674 | + | 1.09236i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −14.3171 | + | 20.1056i | −0.526664 | + | 0.739596i | −0.989130 | − | 0.147041i | \(-0.953025\pi\) |
0.462467 | + | 0.886637i | \(0.346964\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −3.17086 | − | 3.65937i | −0.116484 | − | 0.134430i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −8.46111 | − | 5.43763i | −0.310408 | − | 0.199487i | 0.376156 | − | 0.926556i | \(-0.377246\pi\) |
−0.686564 | + | 0.727069i | \(0.740882\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −20.6343 | − | 3.97693i | −0.755980 | − | 0.145703i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 20.3316 | + | 8.13954i | 0.743893 | + | 0.297810i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −5.32362 | − | 17.9893i | −0.194521 | − | 0.657316i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 15.9297 | + | 22.3701i | 0.581283 | + | 0.816298i | 0.995587 | − | 0.0938405i | \(-0.0299144\pi\) |
−0.414304 | + | 0.910139i | \(0.635975\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −3.10248 | − | 2.95821i | −0.113061 | − | 0.107803i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −4.62616 | − | 1.35836i | −0.168363 | − | 0.0494359i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −3.24023 | + | 22.5363i | −0.117768 | + | 0.819096i | 0.842236 | + | 0.539109i | \(0.181239\pi\) |
−0.960004 | + | 0.279986i | \(0.909670\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −1.66689 | − | 5.48400i | −0.0605043 | − | 0.199057i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −35.8795 | − | 28.2160i | −1.30063 | − | 1.02283i | −0.997557 | − | 0.0698614i | \(-0.977744\pi\) |
−0.303075 | − | 0.952967i | \(-0.598013\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −10.0168 | − | 19.3290i | −0.362631 | − | 0.699758i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −1.21308 | + | 5.00037i | −0.0438589 | + | 0.180789i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 15.7749 | − | 1.50632i | 0.569600 | − | 0.0543902i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −11.8285 | + | 7.60174i | −0.426548 | + | 0.274126i | −0.736252 | − | 0.676707i | \(-0.763406\pi\) |
0.309704 | + | 0.950833i | \(0.399770\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0.938450 | + | 6.52706i | 0.0337974 | + | 0.235066i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −29.8801 | − | 5.75892i | −1.07471 | − | 0.207134i | −0.378958 | − | 0.925414i | \(-0.623718\pi\) |
−0.695754 | + | 0.718280i | \(0.744930\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −23.8008 | + | 12.2702i | −0.854950 | + | 0.440758i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 4.60648 | + | 3.26556i | 0.165257 | + | 0.117151i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 42.4306 | + | 4.05163i | 1.52023 | + | 0.145165i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 24.9790 | + | 43.2649i | 0.893820 | + | 1.54814i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 7.76194 | 0.277389 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 2.25524 | + | 4.93829i | 0.0804930 | + | 0.176255i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −7.76090 | + | 22.4236i | −0.276646 | + | 0.799316i | 0.718006 | + | 0.696037i | \(0.245055\pi\) |
−0.994652 | + | 0.103280i | \(0.967066\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 3.07230 | − | 1.58388i | 0.109377 | − | 0.0563876i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 9.76569 | − | 19.0419i | 0.347228 | − | 0.677050i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 18.5916 | + | 7.44296i | 0.660207 | + | 0.264307i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −1.55295 | − | 0.800600i | −0.0550774 | − | 0.0283944i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −4.43931 | + | 9.72074i | −0.157249 | + | 0.344326i | −0.971815 | − | 0.235743i | \(-0.924247\pi\) |
0.814567 | + | 0.580070i | \(0.196975\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −11.5353 | + | 3.38706i | −0.408088 | + | 0.119826i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −4.63181 | − | 19.0926i | −0.163657 | − | 0.674603i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 22.9448 | + | 18.0440i | 0.809706 | + | 0.636760i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 15.4077 | − | 1.65187i | 0.543051 | − | 0.0582209i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −7.30595 | − | 5.74546i | −0.257181 | − | 0.202250i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −9.80106 | − | 40.4005i | −0.344587 | − | 1.42041i | −0.835640 | − | 0.549277i | \(-0.814903\pi\) |
0.491054 | − | 0.871129i | \(-0.336612\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 12.3815 | − | 3.63552i | 0.434772 | − | 0.127660i | −0.0570207 | − | 0.998373i | \(-0.518160\pi\) |
0.491792 | + | 0.870713i | \(0.336342\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −4.53988 | + | 9.94095i | −0.159221 | + | 0.348644i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −23.2443 | − | 11.9832i | −0.814211 | − | 0.419755i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 24.9272 | + | 9.97935i | 0.872092 | + | 0.349133i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −15.0713 | − | 23.3425i | −0.526635 | − | 0.815651i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −3.39055 | + | 1.74795i | −0.118331 | + | 0.0610038i | −0.516376 | − | 0.856362i | \(-0.672719\pi\) |
0.398045 | + | 0.917366i | \(0.369689\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 15.5416 | − | 44.9045i | 0.541746 | − | 1.56527i | −0.258757 | − | 0.965942i | \(-0.583313\pi\) |
0.800503 | − | 0.599329i | \(-0.204566\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 1.74192 | + | 3.81428i | 0.0606460 | + | 0.132796i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −23.2050 | −0.806919 | −0.403459 | − | 0.914998i | \(-0.632192\pi\) | ||||
−0.403459 | + | 0.914998i | \(0.632192\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 7.79548 | + | 13.5022i | 0.270748 | + | 0.468949i | 0.969054 | − | 0.246850i | \(-0.0793956\pi\) |
−0.698305 | + | 0.715800i | \(0.746062\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −3.61847 | − | 0.345522i | −0.125523 | − | 0.0119860i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 1.49806 | + | 10.1144i | 0.0519046 | + | 0.350445i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −12.4061 | + | 6.39578i | −0.429330 | + | 0.221335i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −14.9931 | − | 2.88969i | −0.518239 | − | 0.0998823i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −1.74101 | − | 12.1090i | −0.0601063 | − | 0.418049i | −0.997553 | − | 0.0699189i | \(-0.977726\pi\) |
0.937446 | − | 0.348130i | \(-0.113183\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −11.7334 | + | 7.54062i | −0.404601 | + | 0.260022i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −4.04609 | + | 0.386354i | −0.139355 | + | 0.0133067i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 0.0737263 | − | 0.303904i | 0.00253626 | − | 0.0104546i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 1.93477 | − | 3.02465i | 0.0664795 | − | 0.103928i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 3.84300 | + | 3.02217i | 0.131891 | + | 0.103721i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −16.5152 | − | 25.1702i | −0.566134 | − | 0.862823i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 3.10485 | − | 21.5947i | 0.106308 | − | 0.739388i | −0.865036 | − | 0.501710i | \(-0.832705\pi\) |
0.971344 | − | 0.237678i | \(-0.0763864\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 13.2209 | + | 3.88202i | 0.452147 | + | 0.132762i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 12.0557 | + | 11.4951i | 0.411816 | + | 0.392666i | 0.867469 | − | 0.497492i | \(-0.165746\pi\) |
−0.455653 | + | 0.890158i | \(0.650594\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −4.17218 | − | 5.85900i | −0.142353 | − | 0.199907i | 0.737244 | − | 0.675627i | \(-0.236127\pi\) |
−0.879597 | + | 0.475720i | \(0.842187\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −9.53040 | − | 2.29066i | −0.324795 | − | 0.0780654i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 11.4492 | + | 4.58356i | 0.389735 | + | 0.156026i | 0.558250 | − | 0.829673i | \(-0.311473\pi\) |
−0.168515 | + | 0.985699i | \(0.553897\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −3.73706 | − | 0.720259i | −0.127064 | − | 0.0244895i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 4.25204 | + | 2.73262i | 0.144407 | + | 0.0928046i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 27.9037 | + | 32.2025i | 0.946567 | + | 1.09240i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −20.5726 | + | 28.8901i | −0.697075 | + | 0.978905i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 7.01801 | − | 12.1556i | 0.237524 | − | 0.411403i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −26.7035 | + | 6.53821i | −0.902744 | + | 0.221032i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 9.13649 | + | 0.872429i | 0.308517 | + | 0.0294598i | 0.248166 | − | 0.968717i | \(-0.420172\pi\) |
0.0603508 | + | 0.998177i | \(0.480778\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 1.95622 | − | 5.65214i | 0.0659818 | − | 0.190642i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 16.8294 | + | 10.8156i | 0.566997 | + | 0.364387i | 0.792515 | − | 0.609852i | \(-0.208771\pi\) |
−0.225519 | + | 0.974239i | \(0.572408\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −11.1697 | + | 12.8905i | −0.375889 | + | 0.433799i | −0.911900 | − | 0.410412i | \(-0.865385\pi\) |
0.536012 | + | 0.844211i | \(0.319930\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 1.42054 | − | 1.11713i | 0.0477511 | − | 0.0375519i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 1.49935 | + | 31.4752i | 0.0503431 | + | 1.05683i | 0.872823 | + | 0.488038i | \(0.162287\pi\) |
−0.822479 | + | 0.568795i | \(0.807410\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 6.71561 | − | 35.2460i | 0.225234 | − | 1.18211i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 6.60769 | − | 27.2373i | 0.221366 | − | 0.912483i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 7.59022 | + | 31.2873i | 0.253997 | + | 1.04699i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 1.93827 | − | 13.4810i | 0.0647892 | − | 0.450619i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −1.17873 | − | 5.81837i | −0.0393565 | − | 0.194270i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −27.4896 | + | 11.0052i | −0.916831 | + | 0.367044i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −4.44834 | + | 4.24149i | −0.148196 | + | 0.141304i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −5.35392 | − | 3.07596i | −0.178167 | − | 0.102362i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 1.30591 | + | 1.83390i | 0.0434101 | + | 0.0609609i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 20.6753 | + | 10.6589i | 0.686513 | + | 0.353922i | 0.765934 | − | 0.642919i | \(-0.222277\pi\) |
−0.0794209 | + | 0.996841i | \(0.525307\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 7.21216 | + | 50.1617i | 0.239212 | + | 1.66376i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −8.45323 | + | 9.75555i | −0.280068 | + | 0.323216i | −0.878302 | − | 0.478105i | \(-0.841324\pi\) |
0.598234 | + | 0.801321i | \(0.295869\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −1.26997 | + | 26.6600i | −0.0420299 | + | 0.882317i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 2.24255 | − | 0.432215i | 0.0741363 | − | 0.0142886i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −28.7251 | + | 4.19225i | −0.948586 | + | 0.138440i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −0.888045 | + | 1.53814i | −0.0292939 | + | 0.0507385i | −0.880301 | − | 0.474416i | \(-0.842659\pi\) |
0.851007 | + | 0.525155i | \(0.175993\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −0.686446 | − | 1.18896i | −0.0226192 | − | 0.0391776i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 21.4950 | + | 47.0674i | 0.707515 | + | 1.54924i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 14.4226 | + | 16.6446i | 0.474212 | + | 0.547270i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −2.08510 | + | 43.7716i | −0.0684835 | + | 1.43765i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 13.5421 | + | 39.1272i | 0.444301 | + | 1.28372i | 0.915721 | + | 0.401814i | \(0.131620\pi\) |
−0.471420 | + | 0.881909i | \(0.656258\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 27.2460 | − | 2.71836i | 0.892953 | − | 0.0890907i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −0.0260167 | − | 0.546158i | −0.000851750 | − | 0.0178804i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −6.24239 | + | 0.596076i | −0.204148 | + | 0.0194938i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 27.1391 | − | 7.96876i | 0.886596 | − | 0.260328i | 0.193437 | − | 0.981113i | \(-0.438036\pi\) |
0.693159 | + | 0.720785i | \(0.256218\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 8.70037 | + | 2.55466i | 0.283926 | + | 0.0833681i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 19.1817 | − | 7.67918i | 0.625305 | − | 0.250334i | −0.0372994 | − | 0.999304i | \(-0.511876\pi\) |
0.662604 | + | 0.748970i | \(0.269451\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 42.8541 | + | 29.9079i | 1.39552 | + | 0.973936i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −5.88585 | − | 2.67290i | −0.191467 | − | 0.0869496i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 1.39585 | − | 1.33094i | 0.0453592 | − | 0.0432499i | −0.667061 | − | 0.745004i | \(-0.732448\pi\) |
0.712420 | + | 0.701754i | \(0.247599\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 21.8807 | + | 20.8632i | 0.710278 | + | 0.677249i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −3.98752 | + | 8.73145i | −0.129304 | + | 0.283137i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −22.2587 | + | 14.3048i | −0.721031 | + | 0.463379i | −0.848995 | − | 0.528400i | \(-0.822792\pi\) |
0.127964 | + | 0.991779i | \(0.459156\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −11.9641 | + | 9.40868i | −0.387150 | + | 0.304458i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 1.51657 | + | 4.38185i | 0.0490239 | + | 0.141645i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 4.18662 | + | 21.4770i | 0.135193 | + | 0.693530i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 26.7569 | − | 5.15698i | 0.863127 | − | 0.166354i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 11.8638 | − | 16.6604i | 0.382305 | − | 0.536872i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −21.3088 | −0.685953 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 8.87739 | 0.285478 | 0.142739 | − | 0.989760i | \(-0.454409\pi\) | ||||
0.142739 | + | 0.989760i | \(0.454409\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −1.12680 | + | 1.58237i | −0.0361980 | + | 0.0508330i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 3.08930 | − | 0.595414i | 0.0991404 | − | 0.0191078i | −0.139440 | − | 0.990231i | \(-0.544530\pi\) |
0.238580 | + | 0.971123i | \(0.423318\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 23.2962 | + | 8.00759i | 0.746841 | + | 0.256712i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 1.42048 | + | 4.10420i | 0.0454917 | + | 0.131440i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −15.0122 | + | 11.8058i | −0.480284 | + | 0.377699i | −0.828747 | − | 0.559623i | \(-0.810946\pi\) |
0.348463 | + | 0.937322i | \(0.386704\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 20.1424 | − | 12.9447i | 0.643753 | − | 0.413715i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 9.85950 | − | 21.5893i | 0.314790 | − | 0.689293i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −13.6529 | − | 13.0180i | −0.435459 | − | 0.415209i | 0.440381 | − | 0.897811i | \(-0.354843\pi\) |
−0.875840 | + | 0.482602i | \(0.839692\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 8.30478 | − | 7.91859i | 0.264612 | − | 0.252307i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −0.719388 | − | 7.36857i | −0.0228984 | − | 0.234544i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 20.5943 | + | 25.6828i | 0.654860 | + | 0.816666i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 5.06273 | − | 2.02681i | 0.160823 | − | 0.0643838i | −0.289854 | − | 0.957071i | \(-0.593607\pi\) |
0.450677 | + | 0.892687i | \(0.351183\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 3.60332 | + | 1.05803i | 0.114348 | + | 0.0335756i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 28.6376 | − | 8.40877i | 0.907874 | − | 0.266576i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −59.4691 | + | 5.67861i | −1.88341 | + | 0.179843i | −0.972520 | − | 0.232818i | \(-0.925205\pi\) |
−0.910885 | + | 0.412661i | \(0.864599\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 0.597556 | + | 12.5443i | 0.0189058 | + | 0.396883i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 644.2.y.a.261.7 | yes | 320 | |
7.4 | even | 3 | inner | 644.2.y.a.445.10 | yes | 320 | |
23.3 | even | 11 | inner | 644.2.y.a.233.10 | ✓ | 320 | |
161.95 | even | 33 | inner | 644.2.y.a.417.7 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
644.2.y.a.233.10 | ✓ | 320 | 23.3 | even | 11 | inner | |
644.2.y.a.261.7 | yes | 320 | 1.1 | even | 1 | trivial | |
644.2.y.a.417.7 | yes | 320 | 161.95 | even | 33 | inner | |
644.2.y.a.445.10 | yes | 320 | 7.4 | even | 3 | inner |