Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [63,2,Mod(4,63)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(63, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("63.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 63 = 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 63.g (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.503057532734\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 10.0.991381711347.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - 2x^{9} + 9x^{8} - 8x^{7} + 40x^{6} - 36x^{5} + 90x^{4} - 3x^{3} + 36x^{2} - 9x + 9 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 4.5 | ||
Root | \(1.19343 - 2.06709i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 63.4 |
Dual form | 63.2.g.b.16.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/63\mathbb{Z}\right)^\times\).
\(n\) | \(10\) | \(29\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.19343 | − | 2.06709i | 0.843886 | − | 1.46165i | −0.0426999 | − | 0.999088i | \(-0.513596\pi\) |
0.886585 | − | 0.462565i | \(-0.153071\pi\) | |||||||
\(3\) | 0.266999 | + | 1.71135i | 0.154152 | + | 0.988047i | ||||
\(4\) | −1.84857 | − | 3.20182i | −0.924286 | − | 1.60091i | ||||
\(5\) | −2.92087 | −1.30625 | −0.653125 | − | 0.757250i | \(-0.726543\pi\) | ||||
−0.653125 | + | 0.757250i | \(0.726543\pi\) | |||||||
\(6\) | 3.85615 | + | 1.49047i | 1.57427 | + | 0.608483i | ||||
\(7\) | 2.35742 | + | 1.20106i | 0.891022 | + | 0.453959i | ||||
\(8\) | −4.05086 | −1.43219 | ||||||||
\(9\) | −2.85742 | + | 0.913855i | −0.952475 | + | 0.304618i | ||||
\(10\) | −3.48586 | + | 6.03769i | −1.10233 | + | 1.90929i | ||||
\(11\) | −1.35371 | −0.408160 | −0.204080 | − | 0.978954i | \(-0.565420\pi\) | ||||
−0.204080 | + | 0.978954i | \(0.565420\pi\) | |||||||
\(12\) | 4.98586 | − | 4.01843i | 1.43929 | − | 1.16002i | ||||
\(13\) | −0.733001 | + | 1.26960i | −0.203298 | + | 0.352123i | −0.949589 | − | 0.313497i | \(-0.898499\pi\) |
0.746291 | + | 0.665620i | \(0.231833\pi\) | |||||||
\(14\) | 5.29614 | − | 3.43961i | 1.41545 | − | 0.919275i | ||||
\(15\) | −0.779867 | − | 4.99862i | −0.201361 | − | 1.29064i | ||||
\(16\) | −1.13729 | + | 1.96984i | −0.284323 | + | 0.492461i | ||||
\(17\) | 1.65514 | − | 2.86678i | 0.401430 | − | 0.695297i | −0.592469 | − | 0.805593i | \(-0.701847\pi\) |
0.993899 | + | 0.110297i | \(0.0351801\pi\) | |||||||
\(18\) | −1.52113 | + | 6.99717i | −0.358533 | + | 1.64925i | ||||
\(19\) | −1.10329 | − | 1.91096i | −0.253113 | − | 0.438404i | 0.711268 | − | 0.702921i | \(-0.248121\pi\) |
−0.964381 | + | 0.264516i | \(0.914788\pi\) | |||||||
\(20\) | 5.39943 | + | 9.35209i | 1.20735 | + | 2.09119i | ||||
\(21\) | −1.42601 | + | 4.35505i | −0.311181 | + | 0.950351i | ||||
\(22\) | −1.61557 | + | 2.79825i | −0.344441 | + | 0.596589i | ||||
\(23\) | 2.62830 | 0.548038 | 0.274019 | − | 0.961724i | \(-0.411647\pi\) | ||||
0.274019 | + | 0.961724i | \(0.411647\pi\) | |||||||
\(24\) | −1.08157 | − | 6.93243i | −0.220775 | − | 1.41508i | ||||
\(25\) | 3.53146 | 0.706292 | ||||||||
\(26\) | 1.74958 | + | 3.03036i | 0.343121 | + | 0.594302i | ||||
\(27\) | −2.32685 | − | 4.64605i | −0.447803 | − | 0.894132i | ||||
\(28\) | −0.512277 | − | 9.76830i | −0.0968112 | − | 1.84603i | ||||
\(29\) | 0.521720 | + | 0.903646i | 0.0968810 | + | 0.167803i | 0.910392 | − | 0.413747i | \(-0.135780\pi\) |
−0.813511 | + | 0.581549i | \(0.802447\pi\) | |||||||
\(30\) | −11.2633 | − | 4.35347i | −2.05639 | − | 0.794831i | ||||
\(31\) | −1.63729 | − | 2.83587i | −0.294066 | − | 0.509337i | 0.680701 | − | 0.732561i | \(-0.261675\pi\) |
−0.974767 | + | 0.223224i | \(0.928342\pi\) | |||||||
\(32\) | −1.33629 | − | 2.31453i | −0.236226 | − | 0.409155i | ||||
\(33\) | −0.361440 | − | 2.31668i | −0.0629186 | − | 0.403282i | ||||
\(34\) | −3.95060 | − | 6.84263i | −0.677521 | − | 1.17350i | ||||
\(35\) | −6.88572 | − | 3.50815i | −1.16390 | − | 0.592985i | ||||
\(36\) | 8.20815 | + | 7.45963i | 1.36803 | + | 1.24327i | ||||
\(37\) | 5.43773 | + | 9.41842i | 0.893957 | + | 1.54838i | 0.835090 | + | 0.550113i | \(0.185415\pi\) |
0.0588664 | + | 0.998266i | \(0.481251\pi\) | |||||||
\(38\) | −5.26683 | −0.854393 | ||||||||
\(39\) | −2.36843 | − | 0.915440i | −0.379252 | − | 0.146588i | ||||
\(40\) | 11.8320 | 1.87081 | ||||||||
\(41\) | −0.904289 | + | 1.56627i | −0.141226 | + | 0.244611i | −0.927959 | − | 0.372683i | \(-0.878438\pi\) |
0.786732 | + | 0.617294i | \(0.211771\pi\) | |||||||
\(42\) | 7.30044 | + | 8.14516i | 1.12648 | + | 1.25683i | ||||
\(43\) | −2.17129 | − | 3.76078i | −0.331118 | − | 0.573514i | 0.651613 | − | 0.758551i | \(-0.274093\pi\) |
−0.982731 | + | 0.185038i | \(0.940759\pi\) | |||||||
\(44\) | 2.50244 | + | 4.33435i | 0.377257 | + | 0.653428i | ||||
\(45\) | 8.34615 | − | 2.66925i | 1.24417 | − | 0.397908i | ||||
\(46\) | 3.13670 | − | 5.43292i | 0.462481 | − | 0.801041i | ||||
\(47\) | −1.98957 | + | 3.44604i | −0.290209 | + | 0.502656i | −0.973859 | − | 0.227154i | \(-0.927058\pi\) |
0.683650 | + | 0.729810i | \(0.260391\pi\) | |||||||
\(48\) | −3.67474 | − | 1.42035i | −0.530404 | − | 0.205010i | ||||
\(49\) | 4.11489 | + | 5.66283i | 0.587842 | + | 0.808976i | ||||
\(50\) | 4.21456 | − | 7.29984i | 0.596029 | − | 1.03235i | ||||
\(51\) | 5.34798 | + | 2.06709i | 0.748867 | + | 0.289450i | ||||
\(52\) | 5.42002 | 0.751622 | ||||||||
\(53\) | −3.22743 | + | 5.59008i | −0.443322 | + | 0.767856i | −0.997934 | − | 0.0642533i | \(-0.979533\pi\) |
0.554612 | + | 0.832109i | \(0.312867\pi\) | |||||||
\(54\) | −12.3807 | − | 0.734945i | −1.68481 | − | 0.100013i | ||||
\(55\) | 3.95402 | 0.533160 | ||||||||
\(56\) | −9.54959 | − | 4.86534i | −1.27612 | − | 0.650158i | ||||
\(57\) | 2.97574 | − | 2.39834i | 0.394146 | − | 0.317668i | ||||
\(58\) | 2.49056 | 0.327026 | ||||||||
\(59\) | 6.10700 | + | 10.5776i | 0.795064 | + | 1.37709i | 0.922799 | + | 0.385283i | \(0.125896\pi\) |
−0.127735 | + | 0.991808i | \(0.540771\pi\) | |||||||
\(60\) | −14.5630 | + | 11.7373i | −1.88008 | + | 1.51528i | ||||
\(61\) | −0.279867 | + | 0.484744i | −0.0358333 | + | 0.0620651i | −0.883386 | − | 0.468646i | \(-0.844742\pi\) |
0.847553 | + | 0.530711i | \(0.178075\pi\) | |||||||
\(62\) | −7.81600 | −0.992632 | ||||||||
\(63\) | −7.83376 | − | 1.27761i | −0.986960 | − | 0.160963i | ||||
\(64\) | −10.9283 | −1.36604 | ||||||||
\(65\) | 2.14100 | − | 3.70832i | 0.265558 | − | 0.459960i | ||||
\(66\) | −5.22013 | − | 2.01767i | −0.642554 | − | 0.248359i | ||||
\(67\) | −6.40588 | − | 11.0953i | −0.782603 | − | 1.35551i | −0.930420 | − | 0.366494i | \(-0.880558\pi\) |
0.147817 | − | 0.989015i | \(-0.452775\pi\) | |||||||
\(68\) | −12.2386 | −1.48414 | ||||||||
\(69\) | 0.701751 | + | 4.49793i | 0.0844809 | + | 0.541487i | ||||
\(70\) | −15.4693 | + | 10.0467i | −1.84894 | + | 1.20080i | ||||
\(71\) | 12.9177 | 1.53305 | 0.766525 | − | 0.642214i | \(-0.221984\pi\) | ||||
0.766525 | + | 0.642214i | \(0.221984\pi\) | |||||||
\(72\) | 11.5750 | − | 3.70190i | 1.36413 | − | 0.436273i | ||||
\(73\) | 5.22772 | − | 9.05467i | 0.611858 | − | 1.05977i | −0.379069 | − | 0.925368i | \(-0.623756\pi\) |
0.990927 | − | 0.134401i | \(-0.0429109\pi\) | |||||||
\(74\) | 25.9583 | 3.01759 | ||||||||
\(75\) | 0.942894 | + | 6.04355i | 0.108876 | + | 0.697849i | ||||
\(76\) | −4.07903 | + | 7.06509i | −0.467897 | + | 0.810422i | ||||
\(77\) | −3.19128 | − | 1.62590i | −0.363680 | − | 0.185288i | ||||
\(78\) | −4.71886 | + | 3.80324i | −0.534306 | + | 0.430632i | ||||
\(79\) | −0.383838 | + | 0.664827i | −0.0431852 | + | 0.0747989i | −0.886810 | − | 0.462134i | \(-0.847084\pi\) |
0.843625 | + | 0.536933i | \(0.180417\pi\) | |||||||
\(80\) | 3.32187 | − | 5.75365i | 0.371397 | − | 0.643278i | ||||
\(81\) | 7.32974 | − | 5.22254i | 0.814415 | − | 0.580282i | ||||
\(82\) | 2.15842 | + | 3.73849i | 0.238358 | + | 0.412847i | ||||
\(83\) | −0.983707 | − | 1.70383i | −0.107976 | − | 0.187020i | 0.806974 | − | 0.590587i | \(-0.201104\pi\) |
−0.914950 | + | 0.403567i | \(0.867770\pi\) | |||||||
\(84\) | 16.5802 | − | 3.48480i | 1.80905 | − | 0.380223i | ||||
\(85\) | −4.83443 | + | 8.37348i | −0.524368 | + | 0.908232i | ||||
\(86\) | −10.3652 | −1.11770 | ||||||||
\(87\) | −1.40715 | + | 1.13412i | −0.150863 | + | 0.121590i | ||||
\(88\) | 5.48371 | 0.584565 | ||||||||
\(89\) | 3.20356 | + | 5.54872i | 0.339576 | + | 0.588163i | 0.984353 | − | 0.176208i | \(-0.0563830\pi\) |
−0.644777 | + | 0.764371i | \(0.723050\pi\) | |||||||
\(90\) | 4.44301 | − | 20.4378i | 0.468335 | − | 2.15433i | ||||
\(91\) | −3.25286 | + | 2.11259i | −0.340992 | + | 0.221460i | ||||
\(92\) | −4.85859 | − | 8.41533i | −0.506543 | − | 0.877359i | ||||
\(93\) | 4.41601 | − | 3.55915i | 0.457919 | − | 0.369066i | ||||
\(94\) | 4.74884 | + | 8.22524i | 0.489806 | + | 0.848369i | ||||
\(95\) | 3.22257 | + | 5.58166i | 0.330629 | + | 0.572666i | ||||
\(96\) | 3.60418 | − | 2.90484i | 0.367850 | − | 0.296474i | ||||
\(97\) | −4.14143 | − | 7.17316i | −0.420498 | − | 0.728324i | 0.575490 | − | 0.817809i | \(-0.304811\pi\) |
−0.995988 | + | 0.0894847i | \(0.971478\pi\) | |||||||
\(98\) | 16.6164 | − | 1.74763i | 1.67851 | − | 0.176537i | ||||
\(99\) | 3.86814 | − | 1.23710i | 0.388762 | − | 0.124333i | ||||
\(100\) | −6.52815 | − | 11.3071i | −0.652815 | − | 1.13071i | ||||
\(101\) | −16.2266 | −1.61461 | −0.807305 | − | 0.590134i | \(-0.799075\pi\) | ||||
−0.807305 | + | 0.590134i | \(0.799075\pi\) | |||||||
\(102\) | 10.6553 | − | 8.58782i | 1.05503 | − | 0.850320i | ||||
\(103\) | −2.22683 | −0.219416 | −0.109708 | − | 0.993964i | \(-0.534992\pi\) | ||||
−0.109708 | + | 0.993964i | \(0.534992\pi\) | |||||||
\(104\) | 2.96929 | − | 5.14295i | 0.291162 | − | 0.504308i | ||||
\(105\) | 4.16518 | − | 12.7205i | 0.406480 | − | 1.24140i | ||||
\(106\) | 7.70346 | + | 13.3428i | 0.748226 | + | 1.29597i | ||||
\(107\) | −8.75403 | − | 15.1624i | −0.846284 | − | 1.46581i | −0.884501 | − | 0.466537i | \(-0.845501\pi\) |
0.0382175 | − | 0.999269i | \(-0.487832\pi\) | |||||||
\(108\) | −10.5745 | + | 16.0387i | −1.01753 | + | 1.54333i | ||||
\(109\) | −7.79917 | + | 13.5086i | −0.747025 | + | 1.29388i | 0.202218 | + | 0.979341i | \(0.435185\pi\) |
−0.949243 | + | 0.314544i | \(0.898148\pi\) | |||||||
\(110\) | 4.71886 | − | 8.17331i | 0.449926 | − | 0.779295i | ||||
\(111\) | −14.6663 | + | 11.8205i | −1.39207 | + | 1.12196i | ||||
\(112\) | −5.04698 | + | 3.27780i | −0.476895 | + | 0.309723i | ||||
\(113\) | −0.844555 | + | 1.46281i | −0.0794491 | + | 0.137610i | −0.903012 | − | 0.429615i | \(-0.858649\pi\) |
0.823563 | + | 0.567224i | \(0.191983\pi\) | |||||||
\(114\) | −1.40624 | − | 9.01338i | −0.131706 | − | 0.844181i | ||||
\(115\) | −7.67690 | −0.715875 | ||||||||
\(116\) | 1.92887 | − | 3.34091i | 0.179092 | − | 0.310196i | ||||
\(117\) | 0.934270 | − | 4.29763i | 0.0863733 | − | 0.397316i | ||||
\(118\) | 29.1532 | 2.68377 | ||||||||
\(119\) | 7.34505 | − | 4.77029i | 0.673319 | − | 0.437292i | ||||
\(120\) | 3.15913 | + | 20.2487i | 0.288388 | + | 1.84844i | ||||
\(121\) | −9.16746 | −0.833405 | ||||||||
\(122\) | 0.668005 | + | 1.15702i | 0.0604784 | + | 0.104752i | ||||
\(123\) | −2.92188 | − | 1.12936i | −0.263457 | − | 0.101831i | ||||
\(124\) | −6.05330 | + | 10.4846i | −0.543602 | + | 0.941546i | ||||
\(125\) | 4.28942 | 0.383657 | ||||||||
\(126\) | −11.9900 | + | 14.6683i | −1.06815 | + | 1.30676i | ||||
\(127\) | −3.96918 | −0.352208 | −0.176104 | − | 0.984372i | \(-0.556350\pi\) | ||||
−0.176104 | + | 0.984372i | \(0.556350\pi\) | |||||||
\(128\) | −10.3696 | + | 17.9607i | −0.916552 | + | 1.58751i | ||||
\(129\) | 5.85627 | − | 4.71995i | 0.515616 | − | 0.415569i | ||||
\(130\) | −5.11028 | − | 8.85127i | −0.448202 | − | 0.776308i | ||||
\(131\) | 5.32863 | 0.465565 | 0.232782 | − | 0.972529i | \(-0.425217\pi\) | ||||
0.232782 | + | 0.972529i | \(0.425217\pi\) | |||||||
\(132\) | −6.74944 | + | 5.43981i | −0.587463 | + | 0.473475i | ||||
\(133\) | −0.305745 | − | 5.83007i | −0.0265115 | − | 0.505531i | ||||
\(134\) | −30.5800 | −2.64171 | ||||||||
\(135\) | 6.79642 | + | 13.5705i | 0.584943 | + | 1.16796i | ||||
\(136\) | −6.70473 | + | 11.6129i | −0.574925 | + | 0.995800i | ||||
\(137\) | −7.49543 | −0.640378 | −0.320189 | − | 0.947354i | \(-0.603746\pi\) | ||||
−0.320189 | + | 0.947354i | \(0.603746\pi\) | |||||||
\(138\) | 10.1351 | + | 3.91740i | 0.862758 | + | 0.333471i | ||||
\(139\) | 7.03285 | − | 12.1812i | 0.596518 | − | 1.03320i | −0.396812 | − | 0.917900i | \(-0.629884\pi\) |
0.993331 | − | 0.115300i | \(-0.0367830\pi\) | |||||||
\(140\) | 1.49629 | + | 28.5319i | 0.126460 | + | 2.41138i | ||||
\(141\) | −6.42858 | − | 2.48476i | −0.541384 | − | 0.209255i | ||||
\(142\) | 15.4164 | − | 26.7021i | 1.29372 | − | 2.24079i | ||||
\(143\) | 0.992275 | − | 1.71867i | 0.0829782 | − | 0.143722i | ||||
\(144\) | 1.44957 | − | 6.66800i | 0.120797 | − | 0.555667i | ||||
\(145\) | −1.52388 | − | 2.63943i | −0.126551 | − | 0.219193i | ||||
\(146\) | −12.4779 | − | 21.6123i | −1.03268 | − | 1.78865i | ||||
\(147\) | −8.59241 | + | 8.55398i | −0.708690 | + | 0.705520i | ||||
\(148\) | 20.1041 | − | 34.8212i | 1.65254 | − | 2.86229i | ||||
\(149\) | 2.17971 | 0.178569 | 0.0892846 | − | 0.996006i | \(-0.471542\pi\) | ||||
0.0892846 | + | 0.996006i | \(0.471542\pi\) | |||||||
\(150\) | 13.6178 | + | 5.26354i | 1.11189 | + | 0.429766i | ||||
\(151\) | 14.0277 | 1.14156 | 0.570781 | − | 0.821102i | \(-0.306641\pi\) | ||||
0.570781 | + | 0.821102i | \(0.306641\pi\) | |||||||
\(152\) | 4.46929 | + | 7.74103i | 0.362507 | + | 0.627880i | ||||
\(153\) | −2.10961 | + | 9.70416i | −0.170552 | + | 0.784535i | ||||
\(154\) | −7.16946 | + | 4.65626i | −0.577731 | + | 0.375212i | ||||
\(155\) | 4.78231 | + | 8.28320i | 0.384124 | + | 0.665322i | ||||
\(156\) | 1.44714 | + | 9.27554i | 0.115864 | + | 0.742638i | ||||
\(157\) | −1.48312 | − | 2.56883i | −0.118365 | − | 0.205015i | 0.800755 | − | 0.598993i | \(-0.204432\pi\) |
−0.919120 | + | 0.393978i | \(0.871099\pi\) | |||||||
\(158\) | 0.916172 | + | 1.58686i | 0.0728867 | + | 0.126243i | ||||
\(159\) | −10.4283 | − | 4.03072i | −0.827017 | − | 0.319657i | ||||
\(160\) | 3.90314 | + | 6.76043i | 0.308570 | + | 0.534459i | ||||
\(161\) | 6.19601 | + | 3.15675i | 0.488314 | + | 0.248787i | ||||
\(162\) | −2.04789 | − | 21.3840i | −0.160898 | − | 1.68008i | ||||
\(163\) | −0.194278 | − | 0.336499i | −0.0152170 | − | 0.0263566i | 0.858317 | − | 0.513120i | \(-0.171511\pi\) |
−0.873534 | + | 0.486764i | \(0.838177\pi\) | |||||||
\(164\) | 6.68657 | 0.522133 | ||||||||
\(165\) | 1.05572 | + | 6.76670i | 0.0821875 | + | 0.526787i | ||||
\(166\) | −4.69596 | −0.364477 | ||||||||
\(167\) | 3.64889 | − | 6.32006i | 0.282360 | − | 0.489061i | −0.689606 | − | 0.724185i | \(-0.742216\pi\) |
0.971965 | + | 0.235124i | \(0.0755496\pi\) | |||||||
\(168\) | 5.77656 | − | 17.6417i | 0.445671 | − | 1.36109i | ||||
\(169\) | 5.42542 | + | 9.39710i | 0.417340 | + | 0.722854i | ||||
\(170\) | 11.5392 | + | 19.9864i | 0.885013 | + | 1.53289i | ||||
\(171\) | 4.89892 | + | 4.45217i | 0.374630 | + | 0.340466i | ||||
\(172\) | −8.02756 | + | 13.9041i | −0.612096 | + | 1.06018i | ||||
\(173\) | 2.02754 | − | 3.51181i | 0.154151 | − | 0.266998i | −0.778598 | − | 0.627522i | \(-0.784069\pi\) |
0.932750 | + | 0.360525i | \(0.117402\pi\) | |||||||
\(174\) | 0.664975 | + | 4.26221i | 0.0504116 | + | 0.323117i | ||||
\(175\) | 8.32514 | + | 4.24151i | 0.629322 | + | 0.320628i | ||||
\(176\) | 1.53957 | − | 2.66661i | 0.116049 | − | 0.201003i | ||||
\(177\) | −16.4715 | + | 13.2754i | −1.23807 | + | 0.997842i | ||||
\(178\) | 15.2929 | 1.14625 | ||||||||
\(179\) | 5.29243 | − | 9.16675i | 0.395575 | − | 0.685155i | −0.597600 | − | 0.801795i | \(-0.703879\pi\) |
0.993174 | + | 0.116639i | \(0.0372121\pi\) | |||||||
\(180\) | −23.9749 | − | 21.7886i | −1.78698 | − | 1.62402i | ||||
\(181\) | −19.6312 | −1.45917 | −0.729586 | − | 0.683889i | \(-0.760287\pi\) | ||||
−0.729586 | + | 0.683889i | \(0.760287\pi\) | |||||||
\(182\) | 0.484844 | + | 9.24519i | 0.0359390 | + | 0.685299i | ||||
\(183\) | −0.904289 | − | 0.349524i | −0.0668470 | − | 0.0258375i | ||||
\(184\) | −10.6469 | −0.784896 | ||||||||
\(185\) | −15.8829 | − | 27.5099i | −1.16773 | − | 2.02257i | ||||
\(186\) | −2.08686 | − | 13.3759i | −0.153016 | − | 0.980768i | ||||
\(187\) | −2.24058 | + | 3.88081i | −0.163848 | + | 0.283793i | ||||
\(188\) | 14.7115 | 1.07294 | ||||||||
\(189\) | 0.0948259 | − | 13.7474i | 0.00689757 | − | 0.999976i | ||||
\(190\) | 15.3837 | 1.11605 | ||||||||
\(191\) | −4.14357 | + | 7.17688i | −0.299818 | + | 0.519301i | −0.976094 | − | 0.217348i | \(-0.930259\pi\) |
0.676276 | + | 0.736648i | \(0.263593\pi\) | |||||||
\(192\) | −2.91784 | − | 18.7021i | −0.210577 | − | 1.34971i | ||||
\(193\) | 9.39242 | + | 16.2682i | 0.676082 | + | 1.17101i | 0.976152 | + | 0.217090i | \(0.0696566\pi\) |
−0.300070 | + | 0.953917i | \(0.597010\pi\) | |||||||
\(194\) | −19.7701 | −1.41941 | ||||||||
\(195\) | 6.91787 | + | 2.67388i | 0.495399 | + | 0.191480i | ||||
\(196\) | 10.5247 | − | 23.6433i | 0.751764 | − | 1.68881i | ||||
\(197\) | 5.99634 | 0.427222 | 0.213611 | − | 0.976919i | \(-0.431478\pi\) | ||||
0.213611 | + | 0.976919i | \(0.431478\pi\) | |||||||
\(198\) | 2.05917 | − | 9.47218i | 0.146339 | − | 0.673159i | ||||
\(199\) | 7.20434 | − | 12.4783i | 0.510702 | − | 0.884562i | −0.489221 | − | 0.872160i | \(-0.662719\pi\) |
0.999923 | − | 0.0124022i | \(-0.00394785\pi\) | |||||||
\(200\) | −14.3054 | −1.01155 | ||||||||
\(201\) | 17.2776 | − | 13.9251i | 1.21867 | − | 0.982203i | ||||
\(202\) | −19.3654 | + | 33.5419i | −1.36255 | + | 2.36000i | ||||
\(203\) | 0.144579 | + | 2.75690i | 0.0101475 | + | 0.193496i | ||||
\(204\) | −3.26768 | − | 20.9444i | −0.228783 | − | 1.46640i | ||||
\(205\) | 2.64131 | − | 4.57488i | 0.184477 | − | 0.319523i | ||||
\(206\) | −2.65758 | + | 4.60306i | −0.185162 | + | 0.320710i | ||||
\(207\) | −7.51015 | + | 2.40188i | −0.521992 | + | 0.166942i | ||||
\(208\) | −1.66727 | − | 2.88780i | −0.115604 | − | 0.200233i | ||||
\(209\) | 1.49354 | + | 2.58690i | 0.103311 | + | 0.178939i | ||||
\(210\) | −21.3236 | − | 23.7909i | −1.47147 | − | 1.64173i | ||||
\(211\) | −6.92418 | + | 11.9930i | −0.476680 | + | 0.825634i | −0.999643 | − | 0.0267212i | \(-0.991493\pi\) |
0.522963 | + | 0.852356i | \(0.324827\pi\) | |||||||
\(212\) | 23.8646 | 1.63902 | ||||||||
\(213\) | 3.44901 | + | 22.1067i | 0.236322 | + | 1.51473i | ||||
\(214\) | −41.7894 | −2.85667 | ||||||||
\(215\) | 6.34204 | + | 10.9847i | 0.432523 | + | 0.749153i | ||||
\(216\) | 9.42574 | + | 18.8205i | 0.641341 | + | 1.28057i | ||||
\(217\) | −0.453726 | − | 8.65184i | −0.0308010 | − | 0.587325i | ||||
\(218\) | 18.6156 | + | 32.2431i | 1.26081 | + | 2.18378i | ||||
\(219\) | 16.8915 | + | 6.52886i | 1.14142 | + | 0.441179i | ||||
\(220\) | −7.30929 | − | 12.6601i | −0.492792 | − | 0.853541i | ||||
\(221\) | 2.42644 | + | 4.20271i | 0.163220 | + | 0.282705i | ||||
\(222\) | 6.93082 | + | 44.4237i | 0.465166 | + | 2.98152i | ||||
\(223\) | 2.33756 | + | 4.04878i | 0.156535 | + | 0.271126i | 0.933617 | − | 0.358273i | \(-0.116634\pi\) |
−0.777082 | + | 0.629399i | \(0.783301\pi\) | |||||||
\(224\) | −0.370314 | − | 7.06130i | −0.0247427 | − | 0.471803i | ||||
\(225\) | −10.0909 | + | 3.22724i | −0.672725 | + | 0.215149i | ||||
\(226\) | 2.01584 | + | 3.49154i | 0.134092 | + | 0.232254i | ||||
\(227\) | 19.7126 | 1.30837 | 0.654187 | − | 0.756333i | \(-0.273011\pi\) | ||||
0.654187 | + | 0.756333i | \(0.273011\pi\) | |||||||
\(228\) | −13.1799 | − | 5.09428i | −0.872862 | − | 0.337377i | ||||
\(229\) | 28.0728 | 1.85510 | 0.927552 | − | 0.373694i | \(-0.121909\pi\) | ||||
0.927552 | + | 0.373694i | \(0.121909\pi\) | |||||||
\(230\) | −9.16188 | + | 15.8688i | −0.604116 | + | 1.04636i | ||||
\(231\) | 1.93041 | − | 5.89550i | 0.127012 | − | 0.387896i | ||||
\(232\) | −2.11342 | − | 3.66054i | −0.138753 | − | 0.240326i | ||||
\(233\) | −6.90113 | − | 11.9531i | −0.452108 | − | 0.783074i | 0.546409 | − | 0.837518i | \(-0.315994\pi\) |
−0.998517 | + | 0.0544448i | \(0.982661\pi\) | |||||||
\(234\) | −7.76859 | − | 7.06016i | −0.507849 | − | 0.461537i | ||||
\(235\) | 5.81127 | − | 10.0654i | 0.379085 | − | 0.656595i | ||||
\(236\) | 22.5785 | − | 39.1070i | 1.46973 | − | 2.54565i | ||||
\(237\) | −1.24024 | − | 0.479373i | −0.0805619 | − | 0.0311386i | ||||
\(238\) | −1.09479 | − | 20.8759i | −0.0709647 | − | 1.35318i | ||||
\(239\) | 5.53069 | − | 9.57944i | 0.357751 | − | 0.619642i | −0.629834 | − | 0.776730i | \(-0.716877\pi\) |
0.987585 | + | 0.157087i | \(0.0502104\pi\) | |||||||
\(240\) | 10.7334 | + | 4.14866i | 0.692840 | + | 0.267795i | ||||
\(241\) | −23.1697 | −1.49249 | −0.746247 | − | 0.665669i | \(-0.768146\pi\) | ||||
−0.746247 | + | 0.665669i | \(0.768146\pi\) | |||||||
\(242\) | −10.9408 | + | 18.9499i | −0.703299 | + | 1.21815i | ||||
\(243\) | 10.8946 | + | 11.1493i | 0.698890 | + | 0.715229i | ||||
\(244\) | 2.06942 | 0.132481 | ||||||||
\(245\) | −12.0190 | − | 16.5404i | −0.767869 | − | 1.05673i | ||||
\(246\) | −5.82157 | + | 4.69198i | −0.371169 | + | 0.299150i | ||||
\(247\) | 3.23486 | 0.205829 | ||||||||
\(248\) | 6.63243 | + | 11.4877i | 0.421160 | + | 0.729470i | ||||
\(249\) | 2.65320 | − | 2.13839i | 0.168140 | − | 0.135515i | ||||
\(250\) | 5.11914 | − | 8.86660i | 0.323763 | − | 0.560773i | ||||
\(251\) | −7.78402 | −0.491323 | −0.245662 | − | 0.969356i | \(-0.579005\pi\) | ||||
−0.245662 | + | 0.969356i | \(0.579005\pi\) | |||||||
\(252\) | 10.3906 | + | 27.4440i | 0.654546 | + | 1.72881i | ||||
\(253\) | −3.55796 | −0.223687 | ||||||||
\(254\) | −4.73696 | + | 8.20466i | −0.297223 | + | 0.514806i | ||||
\(255\) | −15.6207 | − | 6.03769i | −0.978208 | − | 0.378095i | ||||
\(256\) | 13.8226 | + | 23.9414i | 0.863912 | + | 1.49634i | ||||
\(257\) | 10.3760 | 0.647235 | 0.323618 | − | 0.946188i | \(-0.395101\pi\) | ||||
0.323618 | + | 0.946188i | \(0.395101\pi\) | |||||||
\(258\) | −2.76748 | − | 17.7384i | −0.172296 | − | 1.10434i | ||||
\(259\) | 1.50690 | + | 28.7343i | 0.0936345 | + | 1.78546i | ||||
\(260\) | −15.8312 | −0.981807 | ||||||||
\(261\) | −2.31658 | − | 2.10532i | −0.143393 | − | 0.130316i | ||||
\(262\) | 6.35937 | − | 11.0148i | 0.392883 | − | 0.680494i | ||||
\(263\) | −19.1331 | −1.17980 | −0.589898 | − | 0.807478i | \(-0.700832\pi\) | ||||
−0.589898 | + | 0.807478i | \(0.700832\pi\) | |||||||
\(264\) | 1.46414 | + | 9.38453i | 0.0901117 | + | 0.577578i | ||||
\(265\) | 9.42689 | − | 16.3279i | 0.579090 | − | 1.00301i | ||||
\(266\) | −12.4162 | − | 6.32580i | −0.761283 | − | 0.387860i | ||||
\(267\) | −8.64045 | + | 6.96390i | −0.528787 | + | 0.426184i | ||||
\(268\) | −23.6835 | + | 41.0210i | −1.44670 | + | 2.50576i | ||||
\(269\) | −4.41840 | + | 7.65290i | −0.269395 | + | 0.466605i | −0.968706 | − | 0.248212i | \(-0.920157\pi\) |
0.699311 | + | 0.714818i | \(0.253490\pi\) | |||||||
\(270\) | 36.1625 | + | 2.14668i | 2.20078 | + | 0.130643i | ||||
\(271\) | −9.16955 | − | 15.8821i | −0.557010 | − | 0.964770i | −0.997744 | − | 0.0671321i | \(-0.978615\pi\) |
0.440734 | − | 0.897638i | \(-0.354718\pi\) | |||||||
\(272\) | 3.76474 | + | 6.52073i | 0.228271 | + | 0.395377i | ||||
\(273\) | −4.48389 | − | 5.00272i | −0.271377 | − | 0.302778i | ||||
\(274\) | −8.94531 | + | 15.4937i | −0.540406 | + | 0.936010i | ||||
\(275\) | −4.78059 | −0.288280 | ||||||||
\(276\) | 13.1043 | − | 10.5616i | 0.788787 | − | 0.635735i | ||||
\(277\) | 5.10482 | 0.306719 | 0.153360 | − | 0.988170i | \(-0.450991\pi\) | ||||
0.153360 | + | 0.988170i | \(0.450991\pi\) | |||||||
\(278\) | −16.7865 | − | 29.0750i | −1.00679 | − | 1.74381i | ||||
\(279\) | 7.27001 | + | 6.60704i | 0.435244 | + | 0.395553i | ||||
\(280\) | 27.8931 | + | 14.2110i | 1.66693 | + | 0.849270i | ||||
\(281\) | −0.853180 | − | 1.47775i | −0.0508964 | − | 0.0881552i | 0.839455 | − | 0.543430i | \(-0.182875\pi\) |
−0.890351 | + | 0.455274i | \(0.849541\pi\) | |||||||
\(282\) | −12.8083 | + | 10.3231i | −0.762724 | + | 0.614729i | ||||
\(283\) | 6.24415 | + | 10.8152i | 0.371176 | + | 0.642896i | 0.989747 | − | 0.142833i | \(-0.0456213\pi\) |
−0.618571 | + | 0.785729i | \(0.712288\pi\) | |||||||
\(284\) | −23.8793 | − | 41.3602i | −1.41698 | − | 2.45428i | ||||
\(285\) | −8.69174 | + | 7.00524i | −0.514854 | + | 0.414954i | ||||
\(286\) | −2.36843 | − | 4.10224i | −0.140048 | − | 0.242571i | ||||
\(287\) | −4.01299 | + | 2.60626i | −0.236879 | + | 0.153843i | ||||
\(288\) | 5.93351 | + | 5.39242i | 0.349635 | + | 0.317751i | ||||
\(289\) | 3.02104 | + | 5.23260i | 0.177708 | + | 0.307800i | ||||
\(290\) | −7.27458 | −0.427178 | ||||||||
\(291\) | 11.1700 | − | 9.00264i | 0.654798 | − | 0.527744i | ||||
\(292\) | −38.6552 | −2.26213 | ||||||||
\(293\) | −2.60202 | + | 4.50684i | −0.152012 | + | 0.263292i | −0.931967 | − | 0.362543i | \(-0.881909\pi\) |
0.779955 | + | 0.625835i | \(0.215242\pi\) | |||||||
\(294\) | 7.42737 | + | 27.9699i | 0.433173 | + | 1.63124i | ||||
\(295\) | −17.8377 | − | 30.8959i | −1.03855 | − | 1.79883i | ||||
\(296\) | −22.0275 | − | 38.1527i | −1.28032 | − | 2.21758i | ||||
\(297\) | 3.14989 | + | 6.28942i | 0.182775 | + | 0.364949i | ||||
\(298\) | 2.60135 | − | 4.50566i | 0.150692 | − | 0.261006i | ||||
\(299\) | −1.92654 | + | 3.33687i | −0.111415 | + | 0.192976i | ||||
\(300\) | 17.6074 | − | 14.1909i | 1.01656 | − | 0.819313i | ||||
\(301\) | −0.601708 | − | 11.4736i | −0.0346819 | − | 0.661328i | ||||
\(302\) | 16.7412 | − | 28.9966i | 0.963347 | − | 1.66857i | ||||
\(303\) | −4.33249 | − | 27.7694i | −0.248895 | − | 1.59531i | ||||
\(304\) | 5.01906 | 0.287863 | ||||||||
\(305\) | 0.817453 | − | 1.41587i | 0.0468072 | − | 0.0810725i | ||||
\(306\) | 17.5417 | + | 15.9420i | 1.00279 | + | 0.911345i | ||||
\(307\) | 5.00136 | 0.285442 | 0.142721 | − | 0.989763i | \(-0.454415\pi\) | ||||
0.142721 | + | 0.989763i | \(0.454415\pi\) | |||||||
\(308\) | 0.693477 | + | 13.2235i | 0.0395145 | + | 0.753478i | ||||
\(309\) | −0.594560 | − | 3.81088i | −0.0338234 | − | 0.216793i | ||||
\(310\) | 22.8295 | 1.29663 | ||||||||
\(311\) | 16.1984 | + | 28.0565i | 0.918528 | + | 1.59094i | 0.801652 | + | 0.597791i | \(0.203955\pi\) |
0.116876 | + | 0.993146i | \(0.462712\pi\) | |||||||
\(312\) | 9.59418 | + | 3.70832i | 0.543163 | + | 0.209942i | ||||
\(313\) | −0.759535 | + | 1.31555i | −0.0429315 | + | 0.0743595i | −0.886693 | − | 0.462359i | \(-0.847003\pi\) |
0.843761 | + | 0.536719i | \(0.180336\pi\) | |||||||
\(314\) | −7.08000 | −0.399548 | ||||||||
\(315\) | 22.8813 | + | 3.73171i | 1.28922 | + | 0.210258i | ||||
\(316\) | 2.83821 | 0.159662 | ||||||||
\(317\) | 10.7544 | − | 18.6272i | 0.604029 | − | 1.04621i | −0.388175 | − | 0.921586i | \(-0.626894\pi\) |
0.992204 | − | 0.124623i | \(-0.0397723\pi\) | |||||||
\(318\) | −20.7773 | + | 16.7458i | −1.16513 | + | 0.939058i | ||||
\(319\) | −0.706261 | − | 1.22328i | −0.0395430 | − | 0.0684905i | ||||
\(320\) | 31.9200 | 1.78439 | ||||||||
\(321\) | 23.6109 | − | 19.0295i | 1.31783 | − | 1.06213i | ||||
\(322\) | 13.9198 | − | 9.04032i | 0.775721 | − | 0.503797i | ||||
\(323\) | −7.30441 | −0.406428 | ||||||||
\(324\) | −30.2712 | − | 13.8143i | −1.68173 | − | 0.767459i | ||||
\(325\) | −2.58856 | + | 4.48352i | −0.143588 | + | 0.248701i | ||||
\(326\) | −0.927430 | −0.0513656 | ||||||||
\(327\) | −25.2002 | − | 9.74032i | −1.39357 | − | 0.538641i | ||||
\(328\) | 3.66315 | − | 6.34476i | 0.202263 | − | 0.350330i | ||||
\(329\) | −8.82917 | + | 5.73417i | −0.486768 | + | 0.316135i | ||||
\(330\) | 15.2473 | + | 5.89336i | 0.839337 | + | 0.324419i | ||||
\(331\) | −9.73902 | + | 16.8685i | −0.535305 | + | 0.927175i | 0.463844 | + | 0.885917i | \(0.346470\pi\) |
−0.999149 | + | 0.0412580i | \(0.986863\pi\) | |||||||
\(332\) | −3.63691 | + | 6.29931i | −0.199601 | + | 0.345719i | ||||
\(333\) | −24.1450 | − | 21.9431i | −1.32314 | − | 1.20248i | ||||
\(334\) | −8.70942 | − | 15.0852i | −0.476558 | − | 0.825423i | ||||
\(335\) | 18.7107 | + | 32.4079i | 1.02228 | + | 1.77063i | ||||
\(336\) | −6.95699 | − | 7.76198i | −0.379535 | − | 0.423451i | ||||
\(337\) | 4.84742 | − | 8.39598i | 0.264056 | − | 0.457358i | −0.703260 | − | 0.710933i | \(-0.748273\pi\) |
0.967316 | + | 0.253575i | \(0.0816063\pi\) | |||||||
\(338\) | 25.8995 | 1.40875 | ||||||||
\(339\) | −2.72888 | − | 1.05476i | −0.148212 | − | 0.0572867i | ||||
\(340\) | 35.7472 | 1.93866 | ||||||||
\(341\) | 2.21642 | + | 3.83896i | 0.120026 | + | 0.207891i | ||||
\(342\) | 15.0496 | − | 4.81312i | 0.813788 | − | 0.260264i | ||||
\(343\) | 2.89912 | + | 18.2919i | 0.156538 | + | 0.987672i | ||||
\(344\) | 8.79558 | + | 15.2344i | 0.474226 | + | 0.821383i | ||||
\(345\) | −2.04972 | − | 13.1378i | −0.110353 | − | 0.707318i | ||||
\(346\) | −4.83948 | − | 8.38222i | −0.260172 | − | 0.450631i | ||||
\(347\) | −1.01302 | − | 1.75460i | −0.0543817 | − | 0.0941919i | 0.837553 | − | 0.546356i | \(-0.183985\pi\) |
−0.891935 | + | 0.452164i | \(0.850652\pi\) | |||||||
\(348\) | 6.23246 | + | 2.40896i | 0.334095 | + | 0.129134i | ||||
\(349\) | 8.14577 | + | 14.1089i | 0.436033 | + | 0.755231i | 0.997379 | − | 0.0723497i | \(-0.0230498\pi\) |
−0.561346 | + | 0.827581i | \(0.689716\pi\) | |||||||
\(350\) | 18.7031 | − | 12.1469i | 0.999722 | − | 0.649276i | ||||
\(351\) | 7.60419 | + | 0.451400i | 0.405882 | + | 0.0240939i | ||||
\(352\) | 1.80896 | + | 3.13321i | 0.0964180 | + | 0.167001i | ||||
\(353\) | 17.0614 | 0.908089 | 0.454045 | − | 0.890979i | \(-0.349981\pi\) | ||||
0.454045 | + | 0.890979i | \(0.349981\pi\) | |||||||
\(354\) | 7.78387 | + | 49.8913i | 0.413708 | + | 2.65169i | ||||
\(355\) | −37.7309 | −2.00255 | ||||||||
\(356\) | 11.8440 | − | 20.5144i | 0.627731 | − | 1.08726i | ||||
\(357\) | 10.1247 | + | 11.2963i | 0.535859 | + | 0.597862i | ||||
\(358\) | −12.6323 | − | 21.8798i | −0.667639 | − | 1.15639i | ||||
\(359\) | 1.48363 | + | 2.56972i | 0.0783030 | + | 0.135625i | 0.902518 | − | 0.430652i | \(-0.141717\pi\) |
−0.824215 | + | 0.566277i | \(0.808383\pi\) | |||||||
\(360\) | −33.8091 | + | 10.8127i | −1.78189 | + | 0.569881i | ||||
\(361\) | 7.06549 | − | 12.2378i | 0.371868 | − | 0.644094i | ||||
\(362\) | −23.4285 | + | 40.5794i | −1.23137 | + | 2.13280i | ||||
\(363\) | −2.44770 | − | 15.6887i | −0.128471 | − | 0.823444i | ||||
\(364\) | 12.7773 | + | 6.50979i | 0.669712 | + | 0.341206i | ||||
\(365\) | −15.2695 | + | 26.4475i | −0.799240 | + | 1.38432i | ||||
\(366\) | −1.80171 | + | 1.45211i | −0.0941767 | + | 0.0759031i | ||||
\(367\) | −10.1575 | −0.530216 | −0.265108 | − | 0.964219i | \(-0.585408\pi\) | ||||
−0.265108 | + | 0.964219i | \(0.585408\pi\) | |||||||
\(368\) | −2.98914 | + | 5.17733i | −0.155819 | + | 0.269887i | ||||
\(369\) | 1.15259 | − | 5.30190i | 0.0600014 | − | 0.276006i | ||||
\(370\) | −75.8207 | −3.94173 | ||||||||
\(371\) | −14.3225 | + | 9.30182i | −0.743585 | + | 0.482927i | ||||
\(372\) | −19.5591 | − | 7.55992i | −1.01409 | − | 0.391964i | ||||
\(373\) | −25.4846 | −1.31954 | −0.659771 | − | 0.751467i | \(-0.729347\pi\) | ||||
−0.659771 | + | 0.751467i | \(0.729347\pi\) | |||||||
\(374\) | 5.34798 | + | 9.26297i | 0.276537 | + | 0.478977i | ||||
\(375\) | 1.14527 | + | 7.34068i | 0.0591414 | + | 0.379071i | ||||
\(376\) | 8.05947 | − | 13.9594i | 0.415635 | − | 0.719902i | ||||
\(377\) | −1.52969 | −0.0787829 | ||||||||
\(378\) | −28.3039 | − | 16.6026i | −1.45580 | − | 0.853947i | ||||
\(379\) | 9.85497 | 0.506216 | 0.253108 | − | 0.967438i | \(-0.418547\pi\) | ||||
0.253108 | + | 0.967438i | \(0.418547\pi\) | |||||||
\(380\) | 11.9143 | − | 20.6362i | 0.611191 | − | 1.05861i | ||||
\(381\) | −1.05977 | − | 6.79266i | −0.0542935 | − | 0.347998i | ||||
\(382\) | 9.89016 | + | 17.1303i | 0.506025 | + | 0.876460i | ||||
\(383\) | −27.3127 | −1.39561 | −0.697806 | − | 0.716286i | \(-0.745840\pi\) | ||||
−0.697806 | + | 0.716286i | \(0.745840\pi\) | |||||||
\(384\) | −33.5056 | − | 12.9505i | −1.70983 | − | 0.660878i | ||||
\(385\) | 9.32130 | + | 4.74903i | 0.475057 | + | 0.242033i | ||||
\(386\) | 44.8370 | 2.28214 | ||||||||
\(387\) | 9.64109 | + | 8.76190i | 0.490084 | + | 0.445392i | ||||
\(388\) | −15.3114 | + | 26.5202i | −0.777321 | + | 1.34636i | ||||
\(389\) | 4.18446 | 0.212161 | 0.106080 | − | 0.994358i | \(-0.466170\pi\) | ||||
0.106080 | + | 0.994358i | \(0.466170\pi\) | |||||||
\(390\) | 13.7832 | − | 11.1088i | 0.697938 | − | 0.562513i | ||||
\(391\) | 4.35019 | − | 7.53475i | 0.219999 | − | 0.381049i | ||||
\(392\) | −16.6688 | − | 22.9393i | −0.841904 | − | 1.15861i | ||||
\(393\) | 1.42274 | + | 9.11914i | 0.0717676 | + | 0.460000i | ||||
\(394\) | 7.15624 | − | 12.3950i | 0.360526 | − | 0.624450i | ||||
\(395\) | 1.12114 | − | 1.94187i | 0.0564107 | − | 0.0977062i | ||||
\(396\) | −11.1115 | − | 10.0982i | −0.558374 | − | 0.507454i | ||||
\(397\) | 15.3354 | + | 26.5618i | 0.769664 | + | 1.33310i | 0.937745 | + | 0.347323i | \(0.112909\pi\) |
−0.168082 | + | 0.985773i | \(0.553757\pi\) | |||||||
\(398\) | −17.1958 | − | 29.7840i | −0.861948 | − | 1.49294i | ||||
\(399\) | 9.89564 | − | 2.07986i | 0.495402 | − | 0.104123i | ||||
\(400\) | −4.01629 | + | 6.95642i | −0.200815 | + | 0.347821i | ||||
\(401\) | −6.84803 | −0.341974 | −0.170987 | − | 0.985273i | \(-0.554696\pi\) | ||||
−0.170987 | + | 0.985273i | \(0.554696\pi\) | |||||||
\(402\) | −8.16482 | − | 52.3330i | −0.407224 | − | 2.61014i | ||||
\(403\) | 4.80055 | 0.239132 | ||||||||
\(404\) | 29.9961 | + | 51.9547i | 1.49236 | + | 2.58485i | ||||
\(405\) | −21.4092 | + | 15.2543i | −1.06383 | + | 0.757994i | ||||
\(406\) | 5.87130 | + | 2.99132i | 0.291388 | + | 0.148457i | ||||
\(407\) | −7.36113 | − | 12.7499i | −0.364878 | − | 0.631987i | ||||
\(408\) | −21.6639 | − | 8.37348i | −1.07252 | − | 0.414549i | ||||
\(409\) | 9.13490 | + | 15.8221i | 0.451692 | + | 0.782353i | 0.998491 | − | 0.0549104i | \(-0.0174873\pi\) |
−0.546799 | + | 0.837264i | \(0.684154\pi\) | |||||||
\(410\) | −6.30445 | − | 10.9196i | −0.311355 | − | 0.539282i | ||||
\(411\) | −2.00127 | − | 12.8273i | −0.0987154 | − | 0.632724i | ||||
\(412\) | 4.11646 | + | 7.12991i | 0.202803 | + | 0.351265i | ||||
\(413\) | 1.69237 | + | 32.2709i | 0.0832763 | + | 1.58795i | ||||
\(414\) | −3.99798 | + | 18.3906i | −0.196490 | + | 0.903851i | ||||
\(415\) | 2.87328 | + | 4.97666i | 0.141044 | + | 0.244295i | ||||
\(416\) | 3.91802 | 0.192097 | ||||||||
\(417\) | 22.7241 | + | 8.78327i | 1.11280 | + | 0.430119i | ||||
\(418\) | 7.12979 | 0.348729 | ||||||||
\(419\) | 11.2310 | − | 19.4526i | 0.548669 | − | 0.950322i | −0.449698 | − | 0.893181i | \(-0.648468\pi\) |
0.998366 | − | 0.0571410i | \(-0.0181984\pi\) | |||||||
\(420\) | −48.4285 | + | 10.1786i | −2.36307 | + | 0.496667i | ||||
\(421\) | 10.4177 | + | 18.0440i | 0.507728 | + | 0.879411i | 0.999960 | + | 0.00894684i | \(0.00284791\pi\) |
−0.492232 | + | 0.870464i | \(0.663819\pi\) | |||||||
\(422\) | 16.5271 | + | 28.6258i | 0.804527 | + | 1.39348i | ||||
\(423\) | 2.53587 | − | 11.6650i | 0.123298 | − | 0.567170i | ||||
\(424\) | 13.0739 | − | 22.6446i | 0.634923 | − | 1.09972i | ||||
\(425\) | 5.84505 | − | 10.1239i | 0.283526 | − | 0.491082i | ||||
\(426\) | 49.8127 | + | 19.2535i | 2.41343 | + | 0.932834i | ||||
\(427\) | −1.24197 | + | 0.806608i | −0.0601033 | + | 0.0390345i | ||||
\(428\) | −32.3649 | + | 56.0577i | −1.56442 | + | 2.70965i | ||||
\(429\) | 3.20618 | + | 1.23925i | 0.154796 | + | 0.0598313i | ||||
\(430\) | 30.2752 | 1.46000 | ||||||||
\(431\) | −10.1213 | + | 17.5307i | −0.487527 | + | 0.844422i | −0.999897 | − | 0.0143427i | \(-0.995434\pi\) |
0.512370 | + | 0.858765i | \(0.328768\pi\) | |||||||
\(432\) | 11.7983 | + | 0.700370i | 0.567646 | + | 0.0336966i | ||||
\(433\) | −21.6764 | −1.04170 | −0.520851 | − | 0.853648i | \(-0.674385\pi\) | ||||
−0.520851 | + | 0.853648i | \(0.674385\pi\) | |||||||
\(434\) | −18.4256 | − | 9.38751i | −0.884458 | − | 0.450615i | ||||
\(435\) | 4.11011 | − | 3.31260i | 0.197065 | − | 0.158827i | ||||
\(436\) | 57.6693 | 2.76186 | ||||||||
\(437\) | −2.89978 | − | 5.02257i | −0.138715 | − | 0.240262i | ||||
\(438\) | 33.6546 | − | 27.1244i | 1.60808 | − | 1.29606i | ||||
\(439\) | 17.7390 | − | 30.7249i | 0.846639 | − | 1.46642i | −0.0375520 | − | 0.999295i | \(-0.511956\pi\) |
0.884191 | − | 0.467126i | \(-0.154711\pi\) | |||||||
\(440\) | −16.0172 | −0.763589 | ||||||||
\(441\) | −16.9330 | − | 12.4207i | −0.806333 | − | 0.591462i | ||||
\(442\) | 11.5832 | 0.550955 | ||||||||
\(443\) | 9.60313 | − | 16.6331i | 0.456258 | − | 0.790263i | −0.542501 | − | 0.840055i | \(-0.682523\pi\) |
0.998760 | + | 0.0497923i | \(0.0158559\pi\) | |||||||
\(444\) | 64.9590 | + | 25.1078i | 3.08282 | + | 1.19156i | ||||
\(445\) | −9.35716 | − | 16.2071i | −0.443572 | − | 0.768289i | ||||
\(446\) | 11.1589 | 0.528390 | ||||||||
\(447\) | 0.581980 | + | 3.73025i | 0.0275267 | + | 0.176435i | ||||
\(448\) | −25.7626 | − | 13.1256i | −1.21717 | − | 0.620125i | ||||
\(449\) | −29.6082 | −1.39730 | −0.698648 | − | 0.715465i | \(-0.746215\pi\) | ||||
−0.698648 | + | 0.715465i | \(0.746215\pi\) | |||||||
\(450\) | −5.37180 | + | 24.7102i | −0.253229 | + | 1.16485i | ||||
\(451\) | 1.22415 | − | 2.12029i | 0.0576429 | − | 0.0998405i | ||||
\(452\) | 6.24488 | 0.293735 | ||||||||
\(453\) | 3.74539 | + | 24.0064i | 0.175974 | + | 1.12792i | ||||
\(454\) | 23.5257 | − | 40.7478i | 1.10412 | − | 1.91239i | ||||
\(455\) | 9.50117 | − | 6.17060i | 0.445422 | − | 0.289282i | ||||
\(456\) | −12.0543 | + | 9.71534i | −0.564494 | + | 0.454963i | ||||
\(457\) | 4.78098 | − | 8.28090i | 0.223645 | − | 0.387364i | −0.732267 | − | 0.681017i | \(-0.761538\pi\) |
0.955912 | + | 0.293653i | \(0.0948711\pi\) | |||||||
\(458\) | 33.5031 | − | 58.0290i | 1.56550 | − | 2.71152i | ||||
\(459\) | −17.1705 | − | 1.01927i | −0.801449 | − | 0.0475756i | ||||
\(460\) | 14.1913 | + | 24.5800i | 0.661673 | + | 1.14605i | ||||
\(461\) | 10.9187 | + | 18.9118i | 0.508536 | + | 0.880809i | 0.999951 | + | 0.00988416i | \(0.00314628\pi\) |
−0.491416 | + | 0.870925i | \(0.663520\pi\) | |||||||
\(462\) | −9.88271 | − | 11.0262i | −0.459785 | − | 0.512986i | ||||
\(463\) | 13.0744 | − | 22.6456i | 0.607621 | − | 1.05243i | −0.384010 | − | 0.923329i | \(-0.625457\pi\) |
0.991631 | − | 0.129102i | \(-0.0412094\pi\) | |||||||
\(464\) | −2.37339 | −0.110182 | ||||||||
\(465\) | −12.8986 | + | 10.3958i | −0.598157 | + | 0.482093i | ||||
\(466\) | −32.9442 | −1.52611 | ||||||||
\(467\) | −17.4764 | − | 30.2699i | −0.808709 | − | 1.40073i | −0.913758 | − | 0.406258i | \(-0.866833\pi\) |
0.105049 | − | 0.994467i | \(-0.466500\pi\) | |||||||
\(468\) | −15.4873 | + | 4.95311i | −0.715901 | + | 0.228958i | ||||
\(469\) | −1.77520 | − | 33.8502i | −0.0819711 | − | 1.56306i | ||||
\(470\) | −13.8707 | − | 24.0248i | −0.639809 | − | 1.10818i | ||||
\(471\) | 4.00017 | − | 3.22400i | 0.184318 | − | 0.148554i | ||||
\(472\) | −24.7386 | − | 42.8485i | −1.13869 | − | 1.97226i | ||||
\(473\) | 2.93930 | + | 5.09102i | 0.135149 | + | 0.234086i | ||||
\(474\) | −2.47105 | + | 1.99158i | −0.113499 | + | 0.0914761i | ||||
\(475\) | −3.89623 | − | 6.74848i | −0.178771 | − | 0.309641i | ||||
\(476\) | −28.8515 | − | 14.6993i | −1.32240 | − | 0.673741i | ||||
\(477\) | 4.11362 | − | 18.9226i | 0.188350 | − | 0.866407i | ||||
\(478\) | −13.2010 | − | 22.8649i | −0.603801 | − | 1.04581i | ||||
\(479\) | −29.8109 | −1.36209 | −0.681047 | − | 0.732240i | \(-0.738475\pi\) | ||||
−0.681047 | + | 0.732240i | \(0.738475\pi\) | |||||||
\(480\) | −10.5273 | + | 8.48465i | −0.480504 | + | 0.387270i | ||||
\(481\) | −15.9434 | −0.726959 | ||||||||
\(482\) | −27.6516 | + | 47.8939i | −1.25949 | + | 2.18151i | ||||
\(483\) | −3.74797 | + | 11.4464i | −0.170539 | + | 0.520828i | ||||
\(484\) | 16.9467 | + | 29.3525i | 0.770304 | + | 1.33421i | ||||
\(485\) | 12.0965 | + | 20.9518i | 0.549276 | + | 0.951374i | ||||
\(486\) | 36.0487 | − | 9.21415i | 1.63520 | − | 0.417962i | ||||
\(487\) | −11.2253 | + | 19.4428i | −0.508667 | + | 0.881037i | 0.491283 | + | 0.871000i | \(0.336528\pi\) |
−0.999950 | + | 0.0100365i | \(0.996805\pi\) | |||||||
\(488\) | 1.13370 | − | 1.96363i | 0.0513202 | − | 0.0888892i | ||||
\(489\) | 0.523994 | − | 0.422321i | 0.0236958 | − | 0.0190980i | ||||
\(490\) | −48.5344 | + | 5.10459i | −2.19256 | + | 0.230602i | ||||
\(491\) | 17.5222 | − | 30.3494i | 0.790767 | − | 1.36965i | −0.134726 | − | 0.990883i | \(-0.543016\pi\) |
0.925493 | − | 0.378765i | \(-0.123651\pi\) | |||||||
\(492\) | 1.78530 | + | 11.4430i | 0.0804877 | + | 0.515893i | ||||
\(493\) | 3.45407 | 0.155564 | ||||||||
\(494\) | 3.86060 | − | 6.68675i | 0.173696 | − | 0.300851i | ||||
\(495\) | −11.2983 | + | 3.61340i | −0.507821 | + | 0.162410i | ||||
\(496\) | 7.44830 | 0.334438 | ||||||||
\(497\) | 30.4525 | + | 15.5150i | 1.36598 | + | 0.695943i | ||||
\(498\) | −1.25381 | − | 8.03642i | −0.0561848 | − | 0.360121i | ||||
\(499\) | −8.93520 | −0.399994 | −0.199997 | − | 0.979796i | \(-0.564093\pi\) | ||||
−0.199997 | + | 0.979796i | \(0.564093\pi\) | |||||||
\(500\) | −7.92929 | − | 13.7339i | −0.354609 | − | 0.614200i | ||||
\(501\) | 11.7901 | + | 4.55707i | 0.526742 | + | 0.203595i | ||||
\(502\) | −9.28972 | + | 16.0903i | −0.414621 | + | 0.718144i | ||||
\(503\) | −12.6403 | −0.563603 | −0.281802 | − | 0.959473i | \(-0.590932\pi\) | ||||
−0.281802 | + | 0.959473i | \(0.590932\pi\) | |||||||
\(504\) | 31.7334 | + | 5.17540i | 1.41352 | + | 0.230531i | ||||
\(505\) | 47.3958 | 2.10909 | ||||||||
\(506\) | −4.24620 | + | 7.35463i | −0.188766 | + | 0.326953i | ||||
\(507\) | −14.6331 | + | 11.7938i | −0.649880 | + | 0.523781i | ||||
\(508\) | 7.33732 | + | 12.7086i | 0.325541 | + | 0.563854i | ||||
\(509\) | −28.1110 | −1.24600 | −0.623000 | − | 0.782222i | \(-0.714086\pi\) | ||||
−0.623000 | + | 0.782222i | \(0.714086\pi\) | |||||||
\(510\) | −31.1228 | + | 25.0839i | −1.37814 | + | 1.11073i | ||||
\(511\) | 23.1992 | − | 15.0669i | 1.02627 | − | 0.666519i | ||||
\(512\) | 24.5070 | 1.08307 | ||||||||
\(513\) | −6.31121 | + | 9.57247i | −0.278647 | + | 0.422635i | ||||
\(514\) | 12.3830 | − | 21.4480i | 0.546192 | − | 0.946033i | ||||
\(515\) | 6.50427 | 0.286613 | ||||||||
\(516\) | −25.9382 | − | 10.0256i | −1.14186 | − | 0.441351i | ||||
\(517\) | 2.69331 | − | 4.66495i | 0.118452 | − | 0.205164i | ||||
\(518\) | 61.1947 | + | 31.1776i | 2.68874 | + | 1.36986i | ||||
\(519\) | 6.55127 | + | 2.53218i | 0.287569 | + | 0.111150i | ||||
\(520\) | −8.67288 | + | 15.0219i | −0.380331 | + | 0.658753i | ||||
\(521\) | 4.23768 | − | 7.33988i | 0.185656 | − | 0.321566i | −0.758141 | − | 0.652090i | \(-0.773892\pi\) |
0.943797 | + | 0.330524i | \(0.107226\pi\) | |||||||
\(522\) | −7.11657 | + | 2.27601i | −0.311484 | + | 0.0996181i | ||||
\(523\) | 16.7236 | + | 28.9662i | 0.731273 | + | 1.26660i | 0.956339 | + | 0.292259i | \(0.0944069\pi\) |
−0.225066 | + | 0.974344i | \(0.572260\pi\) | |||||||
\(524\) | −9.85035 | − | 17.0613i | −0.430315 | − | 0.745327i | ||||
\(525\) | −5.03589 | + | 15.3797i | −0.219784 | + | 0.671225i | ||||
\(526\) | −22.8341 | + | 39.5498i | −0.995613 | + | 1.72445i | ||||
\(527\) | −10.8398 | −0.472187 | ||||||||
\(528\) | 4.97456 | + | 1.92275i | 0.216490 | + | 0.0836771i | ||||
\(529\) | −16.0921 | −0.699655 | ||||||||
\(530\) | −22.5008 | − | 38.9725i | −0.977371 | − | 1.69286i | ||||
\(531\) | −27.1167 | − | 24.6439i | −1.17677 | − | 1.06945i | ||||
\(532\) | −18.1016 | + | 11.7562i | −0.784806 | + | 0.509698i | ||||
\(533\) | −1.32569 | − | 2.29616i | −0.0574220 | − | 0.0994579i | ||||
\(534\) | 4.08319 | + | 26.1715i | 0.176697 | + | 1.13255i | ||||
\(535\) | 25.5693 | + | 44.2874i | 1.10546 | + | 1.91471i | ||||
\(536\) | 25.9493 | + | 44.9456i | 1.12084 | + | 1.94135i | ||||
\(537\) | 17.1006 | + | 6.60968i | 0.737944 | + | 0.285229i | ||||
\(538\) | 10.5461 | + | 18.2665i | 0.454677 | + | 0.787523i | ||||
\(539\) | −5.57039 | − | 7.66586i | −0.239934 | − | 0.330192i | ||||
\(540\) | 30.8866 | − | 46.8469i | 1.32915 | − | 2.01597i | ||||
\(541\) | −9.12929 | − | 15.8124i | −0.392499 | − | 0.679828i | 0.600280 | − | 0.799790i | \(-0.295056\pi\) |
−0.992778 | + | 0.119962i | \(0.961723\pi\) | |||||||
\(542\) | −43.7730 | −1.88021 | ||||||||
\(543\) | −5.24149 | − | 33.5957i | −0.224934 | − | 1.44173i | ||||
\(544\) | −8.84701 | −0.379312 | ||||||||
\(545\) | 22.7803 | − | 39.4567i | 0.975802 | − | 1.69014i | ||||
\(546\) | −15.6923 | + | 3.29819i | −0.671568 | + | 0.141149i | ||||
\(547\) | −2.88599 | − | 4.99869i | −0.123396 | − | 0.213728i | 0.797709 | − | 0.603043i | \(-0.206045\pi\) |
−0.921105 | + | 0.389315i | \(0.872712\pi\) | |||||||
\(548\) | 13.8558 | + | 23.9990i | 0.591892 | + | 1.02519i | ||||
\(549\) | 0.356713 | − | 1.64088i | 0.0152241 | − | 0.0700309i | ||||
\(550\) | −5.70532 | + | 9.88190i | −0.243276 | + | 0.421366i | ||||
\(551\) | 1.15122 | − | 1.99397i | 0.0490437 | − | 0.0849461i | ||||
\(552\) | −2.84269 | − | 18.2205i | −0.120993 | − | 0.775515i | ||||
\(553\) | −1.70337 | + | 1.10627i | −0.0724346 | + | 0.0470432i | ||||
\(554\) | 6.09227 | − | 10.5521i | 0.258836 | − | 0.448317i | ||||
\(555\) | 42.8384 | − | 34.5262i | 1.81839 | − | 1.46556i | ||||
\(556\) | −52.0029 | −2.20541 | ||||||||
\(557\) | 16.6911 | − | 28.9098i | 0.707223 | − | 1.22495i | −0.258661 | − | 0.965968i | \(-0.583281\pi\) |
0.965883 | − | 0.258977i | \(-0.0833855\pi\) | |||||||
\(558\) | 22.3336 | − | 7.14268i | 0.945457 | − | 0.302374i | ||||
\(559\) | 6.36623 | 0.269263 | ||||||||
\(560\) | 14.7416 | − | 9.57402i | 0.622945 | − | 0.404576i | ||||
\(561\) | −7.23964 | − | 2.79825i | −0.305658 | − | 0.118142i | ||||
\(562\) | −4.07286 | −0.171803 | ||||||||
\(563\) | −1.09566 | − | 1.89773i | −0.0461764 | − | 0.0799799i | 0.842013 | − | 0.539457i | \(-0.181370\pi\) |
−0.888190 | + | 0.459477i | \(0.848037\pi\) | |||||||
\(564\) | 3.92794 | + | 25.1764i | 0.165396 | + | 1.06012i | ||||
\(565\) | 2.46683 | − | 4.27268i | 0.103780 | − | 0.179753i | ||||
\(566\) | 29.8079 | 1.25292 | ||||||||
\(567\) | 23.5519 | − | 3.50826i | 0.989087 | − | 0.147333i | ||||
\(568\) | −52.3278 | −2.19563 | ||||||||
\(569\) | −9.49302 | + | 16.4424i | −0.397968 | + | 0.689301i | −0.993475 | − | 0.114049i | \(-0.963618\pi\) |
0.595507 | + | 0.803350i | \(0.296951\pi\) | |||||||
\(570\) | 4.10743 | + | 26.3269i | 0.172041 | + | 1.10271i | ||||
\(571\) | 10.8690 | + | 18.8257i | 0.454854 | + | 0.787831i | 0.998680 | − | 0.0513674i | \(-0.0163580\pi\) |
−0.543825 | + | 0.839198i | \(0.683025\pi\) | |||||||
\(572\) | −7.33717 | −0.306782 | ||||||||
\(573\) | −13.3885 | − | 5.17488i | −0.559311 | − | 0.216184i | ||||
\(574\) | 0.598142 | + | 11.4056i | 0.0249660 | + | 0.476061i | ||||
\(575\) | 9.28172 | 0.387074 | ||||||||
\(576\) | 31.2267 | − | 9.98686i | 1.30111 | − | 0.416119i | ||||
\(577\) | −15.4516 | + | 26.7629i | −0.643258 | + | 1.11416i | 0.341443 | + | 0.939903i | \(0.389084\pi\) |
−0.984701 | + | 0.174253i | \(0.944249\pi\) | |||||||
\(578\) | 14.4217 | 0.599862 | ||||||||
\(579\) | −25.3327 | + | 20.4173i | −1.05279 | + | 0.848513i | ||||
\(580\) | −5.63398 | + | 9.75835i | −0.233938 | + | 0.405193i | ||||
\(581\) | −0.272605 | − | 5.19815i | −0.0113096 | − | 0.215655i | ||||
\(582\) | −5.27858 | − | 33.8335i | −0.218804 | − | 1.40244i | ||||
\(583\) | 4.36902 | − | 7.56737i | 0.180946 | − | 0.313408i | ||||
\(584\) | −21.1767 | + | 36.6792i | −0.876299 | + | 1.51780i | ||||
\(585\) | −2.72888 | + | 12.5528i | −0.112825 | + | 0.518994i | ||||
\(586\) | 6.21069 | + | 10.7572i | 0.256561 | + | 0.444377i | ||||
\(587\) | −9.18332 | − | 15.9060i | −0.379036 | − | 0.656510i | 0.611886 | − | 0.790946i | \(-0.290411\pi\) |
−0.990922 | + | 0.134436i | \(0.957078\pi\) | |||||||
\(588\) | 43.2720 | + | 11.6987i | 1.78451 | + | 0.482446i | ||||
\(589\) | −3.61282 | + | 6.25759i | −0.148864 | + | 0.257840i | ||||
\(590\) | −85.1527 | −3.50568 | ||||||||
\(591\) | 1.60101 | + | 10.2618i | 0.0658569 | + | 0.422115i | ||||
\(592\) | −24.7371 | −1.01669 | ||||||||
\(593\) | 13.8775 | + | 24.0365i | 0.569880 | + | 0.987061i | 0.996577 | + | 0.0826662i | \(0.0263435\pi\) |
−0.426698 | + | 0.904394i | \(0.640323\pi\) | |||||||
\(594\) | 16.7600 | + | 0.994906i | 0.687671 | + | 0.0408215i | ||||
\(595\) | −21.4539 | + | 13.9334i | −0.879524 | + | 0.571213i | ||||
\(596\) | −4.02936 | − | 6.97905i | −0.165049 | − | 0.285873i | ||||
\(597\) | 23.2782 | + | 8.99745i | 0.952715 | + | 0.368241i | ||||
\(598\) | 4.59841 | + | 7.96468i | 0.188043 | + | 0.325700i | ||||
\(599\) | −0.201412 | − | 0.348855i | −0.00822945 | − | 0.0142538i | 0.861881 | − | 0.507110i | \(-0.169286\pi\) |
−0.870111 | + | 0.492856i | \(0.835953\pi\) | |||||||
\(600\) | −3.81953 | − | 24.4816i | −0.155932 | − | 0.999456i | ||||
\(601\) | 12.3733 | + | 21.4312i | 0.504717 | + | 0.874196i | 0.999985 | + | 0.00545577i | \(0.00173663\pi\) |
−0.495268 | + | 0.868740i | \(0.664930\pi\) | |||||||
\(602\) | −24.4351 | − | 12.4492i | −0.995899 | − | 0.507392i | ||||
\(603\) | 28.4438 | + | 25.8500i | 1.15832 | + | 1.05269i | ||||
\(604\) | −25.9313 | − | 44.9143i | −1.05513 | − | 1.82754i | ||||
\(605\) | 26.7769 | 1.08864 | ||||||||
\(606\) | −62.5724 | − | 24.1853i | −2.54183 | − | 0.982462i | ||||
\(607\) | 24.0697 | 0.976957 | 0.488479 | − | 0.872576i | \(-0.337552\pi\) | ||||
0.488479 | + | 0.872576i | \(0.337552\pi\) | |||||||
\(608\) | −2.94865 | + | 5.10721i | −0.119584 | + | 0.207125i | ||||
\(609\) | −4.67941 | + | 0.983513i | −0.189619 | + | 0.0398539i | ||||
\(610\) | −1.95115 | − | 3.37950i | −0.0789999 | − | 0.136832i | ||||
\(611\) | −2.91672 | − | 5.05190i | −0.117998 | − | 0.204378i | ||||
\(612\) | 34.9707 | − | 11.1843i | 1.41361 | − | 0.452097i | ||||
\(613\) | 10.1907 | − | 17.6509i | 0.411600 | − | 0.712912i | −0.583465 | − | 0.812138i | \(-0.698303\pi\) |
0.995065 | + | 0.0992261i | \(0.0316367\pi\) | |||||||
\(614\) | 5.96879 | − | 10.3382i | 0.240881 | − | 0.417218i | ||||
\(615\) | 8.53443 | + | 3.29871i | 0.344142 | + | 0.133017i | ||||
\(616\) | 12.9274 | + | 6.58628i | 0.520861 | + | 0.265369i | ||||
\(617\) | −20.9315 | + | 36.2544i | −0.842669 | + | 1.45955i | 0.0449604 | + | 0.998989i | \(0.485684\pi\) |
−0.887630 | + | 0.460558i | \(0.847650\pi\) | |||||||
\(618\) | −8.58700 | − | 3.31903i | −0.345420 | − | 0.133511i | ||||
\(619\) | 14.8219 | 0.595743 | 0.297871 | − | 0.954606i | \(-0.403723\pi\) | ||||
0.297871 | + | 0.954606i | \(0.403723\pi\) | |||||||
\(620\) | 17.6809 | − | 30.6242i | 0.710081 | − | 1.22990i | ||||
\(621\) | −6.11565 | − | 12.2112i | −0.245413 | − | 0.490018i | ||||
\(622\) | 77.3270 | 3.10053 | ||||||||
\(623\) | 0.887770 | + | 16.9284i | 0.0355678 | + | 0.678221i | ||||
\(624\) | 4.49687 | − | 3.62432i | 0.180019 | − | 0.145089i | ||||
\(625\) | −30.1861 | −1.20744 | ||||||||
\(626\) | 1.81291 | + | 3.14005i | 0.0724585 | + | 0.125502i | ||||
\(627\) | −4.02830 | + | 3.24667i | −0.160875 | + | 0.129660i | ||||
\(628\) | −5.48329 | + | 9.49734i | −0.218807 | + | 0.378985i | ||||
\(629\) | 36.0007 | 1.43544 | ||||||||
\(630\) | 35.0212 | − | 42.8442i | 1.39528 | − | 1.70696i | ||||
\(631\) | −21.0294 | −0.837169 | −0.418585 | − | 0.908178i | \(-0.637474\pi\) | ||||
−0.418585 | + | 0.908178i | \(0.637474\pi\) | |||||||
\(632\) | 1.55487 | − | 2.69312i | 0.0618496 | − | 0.107127i | ||||
\(633\) | −22.3730 | − | 8.64756i | −0.889247 | − | 0.343710i | ||||
\(634\) | −25.6694 | − | 44.4607i | −1.01946 | − | 1.76576i | ||||
\(635\) | 11.5935 | 0.460072 | ||||||||
\(636\) | 6.37180 | + | 40.8406i | 0.252658 | + | 1.61943i | ||||
\(637\) | −10.2057 | + | 1.07339i | −0.404366 | + | 0.0425291i | ||||
\(638\) | −3.37150 | −0.133479 | ||||||||
\(639\) | −36.9114 | + | 11.8049i | −1.46019 | + | 0.466995i | ||||
\(640\) | 30.2882 | − | 52.4607i | 1.19725 | − | 2.07369i | ||||
\(641\) | 11.9318 | 0.471279 | 0.235640 | − | 0.971840i | \(-0.424281\pi\) | ||||
0.235640 | + | 0.971840i | \(0.424281\pi\) | |||||||
\(642\) | −11.1577 | − | 71.5163i | −0.440360 | − | 2.82252i | ||||
\(643\) | −19.9678 | + | 34.5852i | −0.787452 | + | 1.36391i | 0.140072 | + | 0.990141i | \(0.455267\pi\) |
−0.927524 | + | 0.373765i | \(0.878067\pi\) | |||||||
\(644\) | −1.34641 | − | 25.6740i | −0.0530562 | − | 1.01170i | ||||
\(645\) | −17.1054 | + | 13.7863i | −0.673524 | + | 0.542837i | ||||
\(646\) | −8.71733 | + | 15.0989i | −0.342979 | + | 0.594057i | ||||
\(647\) | 0.494477 | − | 0.856459i | 0.0194399 | − | 0.0336709i | −0.856142 | − | 0.516741i | \(-0.827145\pi\) |
0.875582 | + | 0.483070i | \(0.160478\pi\) | |||||||
\(648\) | −29.6917 | + | 21.1558i | −1.16640 | + | 0.831077i | ||||
\(649\) | −8.26714 | − | 14.3191i | −0.324514 | − | 0.562074i | ||||
\(650\) | 6.17856 | + | 10.7016i | 0.242343 | + | 0.419751i | ||||
\(651\) | 14.6852 | − | 3.08651i | 0.575557 | − | 0.120970i | ||||
\(652\) | −0.718272 | + | 1.24408i | −0.0281297 | + | 0.0487221i | ||||
\(653\) | 22.7147 | 0.888894 | 0.444447 | − | 0.895805i | \(-0.353400\pi\) | ||||
0.444447 | + | 0.895805i | \(0.353400\pi\) | |||||||
\(654\) | −50.2089 | + | 40.4666i | −1.96332 | + | 1.58237i | ||||
\(655\) | −15.5642 | −0.608144 | ||||||||
\(656\) | −2.05688 | − | 3.56262i | −0.0803076 | − | 0.139097i | ||||
\(657\) | −6.66315 | + | 30.6504i | −0.259954 | + | 1.19579i | ||||
\(658\) | 1.31600 | + | 25.0940i | 0.0513031 | + | 0.978267i | ||||
\(659\) | −19.1943 | − | 33.2454i | −0.747702 | − | 1.29506i | −0.948922 | − | 0.315512i | \(-0.897824\pi\) |
0.201220 | − | 0.979546i | \(-0.435509\pi\) | |||||||
\(660\) | 19.7142 | − | 15.8890i | 0.767374 | − | 0.618477i | ||||
\(661\) | −16.9629 | − | 29.3806i | −0.659780 | − | 1.14277i | −0.980672 | − | 0.195657i | \(-0.937316\pi\) |
0.320892 | − | 0.947116i | \(-0.396017\pi\) | |||||||
\(662\) | 23.2458 | + | 40.2628i | 0.903472 | + | 1.56486i | ||||
\(663\) | −6.54444 | + | 5.27459i | −0.254165 | + | 0.204848i | ||||
\(664\) | 3.98486 | + | 6.90198i | 0.154642 | + | 0.267849i | ||||
\(665\) | 0.893040 | + | 17.0288i | 0.0346306 | + | 0.660350i | ||||
\(666\) | −74.1738 | + | 23.7221i | −2.87418 | + | 0.919213i | ||||
\(667\) | 1.37124 | + | 2.37505i | 0.0530944 | + | 0.0919623i | ||||
\(668\) | −26.9809 | −1.04392 | ||||||||
\(669\) | −6.30475 | + | 5.08140i | −0.243756 | + | 0.196458i | ||||
\(670\) | 89.3201 | 3.45074 | ||||||||
\(671\) | 0.378860 | − | 0.656205i | 0.0146257 | − | 0.0253325i | ||||
\(672\) | 11.9855 | − | 2.51909i | 0.462350 | − | 0.0971762i | ||||
\(673\) | −16.1030 | − | 27.8912i | −0.620725 | − | 1.07513i | −0.989351 | − | 0.145549i | \(-0.953505\pi\) |
0.368626 | − | 0.929578i | \(-0.379828\pi\) | |||||||
\(674\) | −11.5702 | − | 20.0401i | −0.445666 | − | 0.771916i | ||||
\(675\) | −8.21718 | − | 16.4073i | −0.316279 | − | 0.631518i | ||||
\(676\) | 20.0585 | − | 34.7424i | 0.771483 | − | 1.33625i | ||||
\(677\) | 18.9842 | − | 32.8816i | 0.729622 | − | 1.26374i | −0.227421 | − | 0.973797i | \(-0.573029\pi\) |
0.957043 | − | 0.289946i | \(-0.0936375\pi\) | |||||||
\(678\) | −5.43702 | + | 4.38204i | −0.208807 | + | 0.168291i | ||||
\(679\) | −1.14767 | − | 21.8843i | −0.0440436 | − | 0.839842i | ||||
\(680\) | 19.5836 | − | 33.9198i | 0.750997 | − | 1.30076i | ||||
\(681\) | 5.26324 | + | 33.7352i | 0.201688 | + | 1.29273i | ||||
\(682\) | 10.5806 | 0.405153 | ||||||||
\(683\) | 7.59357 | − | 13.1525i | 0.290560 | − | 0.503265i | −0.683382 | − | 0.730061i | \(-0.739492\pi\) |
0.973942 | + | 0.226796i | \(0.0728251\pi\) | |||||||
\(684\) | 5.19906 | − | 23.9156i | 0.198791 | − | 0.914436i | ||||
\(685\) | 21.8932 | 0.836495 | ||||||||
\(686\) | 41.2710 | + | 15.8375i | 1.57573 | + | 0.604678i | ||||
\(687\) | 7.49540 | + | 48.0424i | 0.285967 | + | 1.83293i | ||||
\(688\) | 9.87754 | 0.376578 | ||||||||
\(689\) | −4.73142 | − | 8.19507i | −0.180253 | − | 0.312207i | ||||
\(690\) | −29.6033 | − | 11.4422i | −1.12698 | − | 0.435597i | ||||
\(691\) | −1.34574 | + | 2.33089i | −0.0511943 | + | 0.0886711i | −0.890487 | − | 0.455009i | \(-0.849636\pi\) |
0.839293 | + | 0.543680i | \(0.182969\pi\) | |||||||
\(692\) | −14.9922 | −0.569919 | ||||||||
\(693\) | 10.6047 | + | 1.72951i | 0.402838 | + | 0.0656988i | ||||
\(694\) | −4.83589 | −0.183568 | ||||||||
\(695\) | −20.5420 | + | 35.5798i | −0.779203 | + | 1.34962i | ||||
\(696\) | 5.70018 | − | 4.59415i | 0.216065 | − | 0.174141i | ||||
\(697\) | 2.99344 | + | 5.18480i | 0.113385 | + | 0.196388i | ||||
\(698\) | 38.8858 | 1.47185 | ||||||||
\(699\) | 18.6133 | − | 15.0017i | 0.704021 | − | 0.567416i | ||||
\(700\) | −1.80908 | − | 34.4963i | −0.0683769 | − | 1.30384i | ||||
\(701\) | −11.8515 | −0.447625 | −0.223813 | − | 0.974632i | \(-0.571850\pi\) | ||||
−0.223813 | + | 0.974632i | \(0.571850\pi\) | |||||||
\(702\) | 10.0082 | − | 15.1798i | 0.377735 | − | 0.572925i | ||||
\(703\) | 11.9988 | − | 20.7826i | 0.452544 | − | 0.783829i | ||||
\(704\) | 14.7938 | 0.557562 | ||||||||
\(705\) | 18.7770 | + | 7.25765i | 0.707184 | + | 0.273339i | ||||
\(706\) | 20.3617 | − | 35.2675i | 0.766323 | − | 1.32731i | ||||
\(707\) | −38.2530 | − | 19.4892i | −1.43865 | − | 0.732967i | ||||
\(708\) | 72.9542 | + | 28.1981i | 2.74179 | + | 1.05975i | ||||
\(709\) | 20.5167 | − | 35.5359i | 0.770520 | − | 1.33458i | −0.166759 | − | 0.985998i | \(-0.553330\pi\) |
0.937278 | − | 0.348582i | \(-0.113337\pi\) | |||||||
\(710\) | −45.0294 | + | 77.9931i | −1.68992 | + | 2.92703i | ||||
\(711\) | 0.489233 | − | 2.25047i | 0.0183477 | − | 0.0843991i | ||||
\(712\) | −12.9772 | − | 22.4771i | −0.486339 | − | 0.842364i | ||||
\(713\) | −4.30328 | − | 7.45351i | −0.161159 | − | 0.279136i | ||||
\(714\) | 35.4336 | − | 7.44740i | 1.32607 | − | 0.278712i | ||||
\(715\) | −2.89830 | + | 5.02001i | −0.108390 | + | 0.187738i | ||||
\(716\) | −39.1337 | −1.46250 | ||||||||
\(717\) | 17.8704 | + | 6.90724i | 0.667384 | + | 0.257956i | ||||
\(718\) | 7.08246 | 0.264315 | ||||||||
\(719\) | 10.4555 | + | 18.1094i | 0.389923 | + | 0.675366i | 0.992439 | − | 0.122741i | \(-0.0391685\pi\) |
−0.602516 | + | 0.798107i | \(0.705835\pi\) | |||||||
\(720\) | −4.23400 | + | 19.4763i | −0.157792 | + | 0.725840i | ||||
\(721\) | −5.24958 | − | 2.67457i | −0.195505 | − | 0.0996060i | ||||
\(722\) | −16.8644 | − | 29.2100i | −0.627628 | − | 1.08708i | ||||
\(723\) | −6.18629 | − | 39.6515i | −0.230071 | − | 1.47466i | ||||
\(724\) | 36.2896 | + | 62.8554i | 1.34869 | + | 2.33600i | ||||
\(725\) | 1.84243 | + | 3.19119i | 0.0684263 | + | 0.118518i | ||||
\(726\) | −35.3511 | − | 13.6638i | −1.31200 | − | 0.507112i | ||||
\(727\) | 1.32165 | + | 2.28917i | 0.0490173 | + | 0.0849005i | 0.889493 | − | 0.456949i | \(-0.151058\pi\) |
−0.840476 | + | 0.541849i | \(0.817724\pi\) | |||||||
\(728\) | 13.1769 | − | 8.55782i | 0.488368 | − | 0.317174i | ||||
\(729\) | −16.1715 | + | 21.6213i | −0.598945 | + | 0.800790i | ||||
\(730\) | 36.4462 | + | 63.1267i | 1.34893 | + | 2.33642i | ||||
\(731\) | −14.3751 | −0.531683 | ||||||||
\(732\) | 0.552531 | + | 3.54149i | 0.0204221 | + | 0.130897i | ||||
\(733\) | 14.1489 | 0.522602 | 0.261301 | − | 0.965257i | \(-0.415848\pi\) | ||||
0.261301 | + | 0.965257i | \(0.415848\pi\) | |||||||
\(734\) | −12.1223 | + | 20.9964i | −0.447442 | + | 0.774992i | ||||
\(735\) | 25.0973 | − | 24.9850i | 0.925727 | − | 0.921587i | ||||
\(736\) | −3.51218 | − | 6.08327i | −0.129461 | − | 0.224232i | ||||
\(737\) | 8.67174 | + | 15.0199i | 0.319428 | + | 0.553265i | ||||
\(738\) | −9.58396 | − | 8.70997i | −0.352790 | − | 0.320619i | ||||
\(739\) | −7.85905 | + | 13.6123i | −0.289100 | + | 0.500736i | −0.973595 | − | 0.228282i | \(-0.926689\pi\) |
0.684495 | + | 0.729017i | \(0.260023\pi\) | |||||||
\(740\) | −58.7212 | + | 101.708i | −2.15864 | + | 3.73887i | ||||
\(741\) | 0.863704 | + | 5.53598i | 0.0317289 | + | 0.203369i | ||||
\(742\) | 2.13478 | + | 40.7069i | 0.0783704 | + | 1.49440i | ||||
\(743\) | 10.5496 | − | 18.2724i | 0.387026 | − | 0.670348i | −0.605022 | − | 0.796208i | \(-0.706836\pi\) |
0.992048 | + | 0.125861i | \(0.0401692\pi\) | |||||||
\(744\) | −17.8886 | + | 14.4176i | −0.655828 | + | 0.528575i | ||||
\(745\) | −6.36665 | −0.233256 | ||||||||
\(746\) | −30.4142 | + | 52.6789i | −1.11354 | + | 1.92871i | ||||
\(747\) | 4.36792 | + | 3.96960i | 0.159814 | + | 0.145240i | ||||
\(748\) | 16.5675 | 0.605768 | ||||||||
\(749\) | −2.42592 | − | 46.2584i | −0.0886412 | − | 1.69025i | ||||
\(750\) | 16.5406 | + | 6.39325i | 0.603979 | + | 0.233449i | ||||
\(751\) | 13.0370 | 0.475725 | 0.237863 | − | 0.971299i | \(-0.423553\pi\) | ||||
0.237863 | + | 0.971299i | \(0.423553\pi\) | |||||||
\(752\) | −4.52544 | − | 7.83829i | −0.165026 | − | 0.285833i | ||||
\(753\) | −2.07832 | − | 13.3212i | −0.0757383 | − | 0.485451i | ||||
\(754\) | −1.82558 | + | 3.16200i | −0.0664838 | + | 0.115153i | ||||
\(755\) | −40.9732 | −1.49117 | ||||||||
\(756\) | −44.1920 | + | 25.1094i | −1.60725 | + | 0.913221i | ||||
\(757\) | −12.6856 | −0.461065 | −0.230532 | − | 0.973065i | \(-0.574047\pi\) | ||||
−0.230532 | + | 0.973065i | \(0.574047\pi\) | |||||||
\(758\) | 11.7613 | − | 20.3711i | 0.427188 | − | 0.739912i | ||||
\(759\) | −0.949971 | − | 6.08891i | −0.0344818 | − | 0.221014i | ||||
\(760\) | −13.0542 | − | 22.6105i | −0.473525 | − | 0.820169i | ||||
\(761\) | −6.04077 | −0.218978 | −0.109489 | − | 0.993988i | \(-0.534921\pi\) | ||||
−0.109489 | + | 0.993988i | \(0.534921\pi\) | |||||||
\(762\) | −15.3058 | − | 5.91596i | −0.554470 | − | 0.214313i | ||||
\(763\) | −34.6106 | + | 22.4781i | −1.25299 | + | 0.813761i | ||||
\(764\) | 30.6388 | 1.10847 | ||||||||
\(765\) | 6.16188 | − | 28.3446i | 0.222783 | − | 1.02480i | ||||
\(766\) | −32.5959 | + | 56.4577i | −1.17774 | + | 2.03990i | ||||
\(767\) | −17.9058 | −0.646540 | ||||||||
\(768\) | −37.2815 | + | 30.0476i | −1.34528 | + | 1.08425i | ||||
\(769\) | 0.108129 | − | 0.187285i | 0.00389924 | − | 0.00675368i | −0.864069 | − | 0.503373i | \(-0.832092\pi\) |
0.867968 | + | 0.496619i | \(0.165425\pi\) | |||||||
\(770\) | 20.9410 | − | 13.6003i | 0.754662 | − | 0.490121i | ||||
\(771\) | 2.77037 | + | 17.7569i | 0.0997724 | + | 0.639499i | ||||
\(772\) | 34.7251 | − | 60.1457i | 1.24979 | − | 2.16469i | ||||
\(773\) | 18.8132 | − | 32.5854i | 0.676663 | − | 1.17202i | −0.299316 | − | 0.954154i | \(-0.596759\pi\) |
0.975980 | − | 0.217861i | \(-0.0699081\pi\) | |||||||
\(774\) | 29.6176 | − | 9.47225i | 1.06458 | − | 0.340473i | ||||
\(775\) | −5.78202 | − | 10.0148i | −0.207696 | − | 0.359741i | ||||
\(776\) | 16.7763 | + | 29.0575i | 0.602235 | + | 1.04310i | ||||
\(777\) | −48.7720 | + | 10.2508i | −1.74968 | + | 0.367747i | ||||
\(778\) | 4.99388 | − | 8.64965i | 0.179039 | − | 0.310105i | ||||
\(779\) | 3.99078 | 0.142985 | ||||||||
\(780\) | −4.22690 | − | 27.0926i | −0.151347 | − | 0.970072i | ||||
\(781\) | −17.4869 | −0.625730 | ||||||||
\(782\) | −10.3833 | − | 17.9845i | −0.371307 | − | 0.643123i | ||||
\(783\) | 2.98442 | − | 4.52659i | 0.106654 | − | 0.161767i | ||||
\(784\) | −15.8347 | + | 1.66541i | −0.565526 | + | 0.0594791i | ||||
\(785\) | 4.33198 | + | 7.50321i | 0.154615 | + | 0.267801i | ||||
\(786\) | 20.5480 | + | 7.94217i | 0.732924 | + | 0.283288i | ||||
\(787\) | −15.4067 | − | 26.6853i | −0.549191 | − | 0.951226i | −0.998330 | − | 0.0577648i | \(-0.981603\pi\) |
0.449139 | − | 0.893462i | \(-0.351731\pi\) | |||||||
\(788\) | −11.0847 | − | 19.1992i | −0.394875 | − | 0.683943i | ||||
\(789\) | −5.10850 | − | 32.7433i | −0.181867 | − | 1.16569i | ||||
\(790\) | −2.67601 | − | 4.63499i | −0.0952083 | − | 0.164906i | ||||
\(791\) | −3.74791 | + | 2.43410i | −0.133260 | + | 0.0865468i | ||||
\(792\) | −15.6693 | + | 5.01131i | −0.556783 | + | 0.178069i | ||||
\(793\) | −0.410286 | − | 0.710636i | −0.0145697 | − | 0.0252354i | ||||
\(794\) | 73.2074 | 2.59803 | ||||||||
\(795\) | 30.4596 | + | 11.7732i | 1.08029 | + | 0.417552i | ||||
\(796\) | −53.2710 | −1.88814 | ||||||||
\(797\) | −17.9792 | + | 31.1408i | −0.636855 | + | 1.10306i | 0.349264 | + | 0.937024i | \(0.386431\pi\) |
−0.986119 | + | 0.166040i | \(0.946902\pi\) | |||||||
\(798\) | 7.51055 | − | 22.9373i | 0.265871 | − | 0.811973i | ||||
\(799\) | 6.58602 | + | 11.4073i | 0.232997 | + | 0.403562i | ||||
\(800\) | −4.71907 | − | 8.17367i | −0.166844 | − | 0.288983i | ||||
\(801\) | −14.2246 | − | 12.9275i | −0.502603 | − | 0.456770i | ||||
\(802\) | −8.17268 | + | 14.1555i | −0.288587 | + | 0.499848i | ||||
\(803\) | −7.07684 | + | 12.2574i | −0.249736 | + | 0.432556i | ||||
\(804\) | −76.5246 | − | 29.5781i | −2.69882 | − | 1.04314i | ||||
\(805\) | −18.0977 | − | 9.22045i | −0.637860 | − | 0.324978i | ||||
\(806\) | 5.72914 | − | 9.92315i | 0.201800 | − | 0.349528i | ||||
\(807\) | −14.2765 | − | 5.51811i | −0.502556 | − | 0.194247i | ||||
\(808\) | 65.7318 | 2.31244 | ||||||||
\(809\) | −19.4818 | + | 33.7435i | −0.684943 | + | 1.18636i | 0.288511 | + | 0.957477i | \(0.406840\pi\) |
−0.973455 | + | 0.228880i | \(0.926494\pi\) | |||||||
\(810\) | 5.98162 | + | 62.4597i | 0.210173 | + | 2.19461i | ||||
\(811\) | −28.2811 | −0.993082 | −0.496541 | − | 0.868013i | \(-0.665397\pi\) | ||||
−0.496541 | + | 0.868013i | \(0.665397\pi\) | |||||||
\(812\) | 8.55982 | − | 5.55924i | 0.300391 | − | 0.195091i | ||||
\(813\) | 24.7316 | − | 19.9328i | 0.867374 | − | 0.699073i | ||||
\(814\) | −35.1401 | −1.23166 | ||||||||
\(815\) | 0.567459 | + | 0.982867i | 0.0198772 | + | 0.0344283i | ||||
\(816\) | −10.1541 | + | 8.18381i | −0.355463 | + | 0.286491i | ||||
\(817\) | −4.79113 | + | 8.29849i | −0.167621 | + | 0.290327i | ||||
\(818\) | 43.6076 | 1.52471 | ||||||||
\(819\) | 7.36420 | − | 9.00922i | 0.257326 | − | 0.314808i | ||||
\(820\) | −19.5306 | −0.682037 | ||||||||
\(821\) | −20.7917 | + | 36.0123i | −0.725635 | + | 1.25684i | 0.233077 | + | 0.972458i | \(0.425121\pi\) |
−0.958712 | + | 0.284378i | \(0.908213\pi\) | |||||||
\(822\) | −28.9035 | − | 11.1717i | −1.00813 | − | 0.389659i | ||||
\(823\) | −4.22999 | − | 7.32656i | −0.147448 | − | 0.255388i | 0.782835 | − | 0.622229i | \(-0.213773\pi\) |
−0.930284 | + | 0.366841i | \(0.880439\pi\) | |||||||
\(824\) | 9.02057 | 0.314247 | ||||||||
\(825\) | −1.27641 | − | 8.18125i | −0.0444389 | − | 0.284834i | ||||
\(826\) | 68.7265 | + | 35.0149i | 2.39130 | + | 1.21832i | ||||
\(827\) | 44.2823 | 1.53985 | 0.769923 | − | 0.638137i | \(-0.220294\pi\) | ||||
0.769923 | + | 0.638137i | \(0.220294\pi\) | |||||||
\(828\) | 21.5734 | + | 19.6061i | 0.749729 | + | 0.681360i | ||||
\(829\) | −8.31637 | + | 14.4044i | −0.288839 | + | 0.500284i | −0.973533 | − | 0.228547i | \(-0.926603\pi\) |
0.684694 | + | 0.728831i | \(0.259936\pi\) | |||||||
\(830\) | 13.7163 | 0.476099 | ||||||||
\(831\) | 1.36298 | + | 8.73613i | 0.0472813 | + | 0.303053i | ||||
\(832\) | 8.01045 | − | 13.8745i | 0.277712 | − | 0.481012i | ||||
\(833\) | 23.0448 | − | 2.42373i | 0.798455 | − | 0.0839774i | ||||
\(834\) | 45.2755 | − | 36.4905i | 1.56776 | − | 1.26356i | ||||
\(835\) | −10.6579 | + | 18.4601i | −0.368832 | + | 0.638836i | ||||
\(836\) | 5.52185 | − | 9.56412i | 0.190977 | − | 0.330782i | ||||
\(837\) | −9.36586 | + | 14.2056i | −0.323731 | + | 0.491017i | ||||
\(838\) | −26.8068 | − | 46.4308i | −0.926027 | − | 1.60393i | ||||
\(839\) | 14.8006 | + | 25.6354i | 0.510974 | + | 0.885033i | 0.999919 | + | 0.0127182i | \(0.00404843\pi\) |
−0.488945 | + | 0.872314i | \(0.662618\pi\) | |||||||
\(840\) | −16.8726 | + | 51.5291i | −0.582159 | + | 1.77792i | ||||
\(841\) | 13.9556 | − | 24.1718i | 0.481228 | − | 0.833512i | ||||
\(842\) | 49.7314 | 1.71386 | ||||||||
\(843\) | 2.30115 | − | 1.85464i | 0.0792557 | − | 0.0638773i | ||||
\(844\) | 51.1994 | 1.76236 | ||||||||
\(845\) | −15.8469 | − | 27.4477i | −0.545151 | − | 0.944228i | ||||
\(846\) | −21.0861 | − | 19.1632i | −0.724956 | − | 0.658846i | ||||
\(847\) | −21.6116 | − | 11.0107i | −0.742583 | − | 0.378332i | ||||
\(848\) | −7.34105 | − | 12.7151i | −0.252093 | − | 0.436638i | ||||
\(849\) | −16.8414 | + | 13.5736i | −0.577994 | + | 0.465843i | ||||
\(850\) | −13.9514 | − | 24.1645i | −0.478528 | − | 0.828834i | ||||
\(851\) | 14.2920 | + | 24.7544i | 0.489922 | + | 0.848570i | ||||
\(852\) | 64.4059 | − | 51.9089i | 2.20651 | − | 1.77837i | ||||
\(853\) | −15.0619 | − | 26.0880i | −0.515710 | − | 0.893236i | −0.999834 | − | 0.0182366i | \(-0.994195\pi\) |
0.484124 | − | 0.875000i | \(-0.339139\pi\) | |||||||
\(854\) | 0.185118 | + | 3.52990i | 0.00633460 | + | 0.120791i | ||||
\(855\) | −14.3091 | − | 13.0042i | −0.489360 | − | 0.444734i | ||||
\(856\) | 35.4613 | + | 61.4208i | 1.21204 | + | 2.09932i | ||||
\(857\) | 37.0894 | 1.26695 | 0.633475 | − | 0.773763i | \(-0.281628\pi\) | ||||
0.633475 | + | 0.773763i | \(0.281628\pi\) | |||||||
\(858\) | 6.38800 | − | 5.14850i | 0.218083 | − | 0.175767i | ||||
\(859\) | −3.78333 | −0.129085 | −0.0645427 | − | 0.997915i | \(-0.520559\pi\) | ||||
−0.0645427 | + | 0.997915i | \(0.520559\pi\) | |||||||
\(860\) | 23.4474 | − | 40.6121i | 0.799551 | − | 1.38486i | ||||
\(861\) | −5.53169 | − | 6.17175i | −0.188519 | − | 0.210333i | ||||
\(862\) | 24.1583 | + | 41.8434i | 0.822835 | + | 1.42519i | ||||
\(863\) | 0.213559 | + | 0.369895i | 0.00726963 | + | 0.0125914i | 0.869637 | − | 0.493691i | \(-0.164353\pi\) |
−0.862368 | + | 0.506282i | \(0.831019\pi\) | |||||||
\(864\) | −7.64406 | + | 11.5941i | −0.260056 | + | 0.394438i | ||||
\(865\) | −5.92218 | + | 10.2575i | −0.201360 | + | 0.348766i | ||||
\(866\) | −25.8694 | + | 44.8071i | −0.879077 | + | 1.52261i | ||||
\(867\) | −8.14818 | + | 6.56715i | −0.276727 | + | 0.223032i | ||||
\(868\) | −26.8629 | + | 17.4463i | −0.911786 | + | 0.592166i | ||||
\(869\) | 0.519608 | − | 0.899987i | 0.0176265 | − | 0.0305300i | ||||
\(870\) | −1.94230 | − | 12.4493i | −0.0658502 | − | 0.422072i | ||||
\(871\) | 18.7821 | 0.636407 | ||||||||
\(872\) | 31.5933 | − | 54.7212i | 1.06988 | − | 1.85309i | ||||
\(873\) | 18.3890 | + | 16.7121i | 0.622374 | + | 0.565619i | ||||
\(874\) | −13.8428 | −0.468240 | ||||||||
\(875\) | 10.1120 | + | 5.15186i | 0.341847 | + | 0.174165i | ||||
\(876\) | −10.3209 | − | 66.1525i | −0.348710 | − | 2.23509i | ||||
\(877\) | 11.2608 | 0.380249 | 0.190124 | − | 0.981760i | \(-0.439111\pi\) | ||||
0.190124 | + | 0.981760i | \(0.439111\pi\) | |||||||
\(878\) | −42.3408 | − | 73.3364i | −1.42893 | − | 2.47498i | ||||
\(879\) | −8.40750 | − | 3.24965i | −0.283578 | − | 0.109608i | ||||
\(880\) | −4.49687 | + | 7.78881i | −0.151589 | + | 0.262561i | ||||
\(881\) | −35.4810 | −1.19538 | −0.597692 | − | 0.801726i | \(-0.703916\pi\) | ||||
−0.597692 | + | 0.801726i | \(0.703916\pi\) | |||||||
\(882\) | −45.8831 | + | 20.1787i | −1.54496 | + | 0.679453i | ||||
\(883\) | −5.30092 | −0.178390 | −0.0891952 | − | 0.996014i | \(-0.528429\pi\) | ||||
−0.0891952 | + | 0.996014i | \(0.528429\pi\) | |||||||
\(884\) | 8.97088 | − | 15.5380i | 0.301723 | − | 0.522600i | ||||
\(885\) | 48.1109 | − | 38.7757i | 1.61723 | − | 1.30343i | ||||
\(886\) | −22.9214 | − | 39.7010i | −0.770060 | − | 1.33378i | ||||
\(887\) | 57.5664 | 1.93289 | 0.966446 | − | 0.256870i | \(-0.0826913\pi\) | ||||
0.966446 | + | 0.256870i | \(0.0826913\pi\) | |||||||
\(888\) | 59.4112 | − | 47.8834i | 1.99371 | − | 1.60686i | ||||
\(889\) | −9.35705 | − | 4.76724i | −0.313825 | − | 0.159888i | ||||
\(890\) | −44.6686 | −1.49730 | ||||||||
\(891\) | −9.92238 | + | 7.06983i | −0.332412 | + | 0.236848i | ||||
\(892\) | 8.64231 | − | 14.9689i | 0.289366 | − | 0.501197i | ||||
\(893\) | 8.78032 | 0.293822 | ||||||||
\(894\) | 8.40531 | + | 3.24880i | 0.281116 | + | 0.108656i | ||||
\(895\) | −15.4585 | + | 26.7749i | −0.516720 | + | 0.894985i | ||||
\(896\) | −46.0175 | + | 29.8864i | −1.53734 | + | 0.998433i | ||||
\(897\) | −6.22494 | − | 2.40605i | −0.207845 | − | 0.0803356i | ||||
\(898\) | −35.3354 | + | 61.2027i | −1.17916 | + | 2.04236i | ||||
\(899\) | 1.70842 | − | 2.95906i | 0.0569788 | − | 0.0986903i | ||||
\(900\) | 28.9867 | + | 26.3434i | 0.966224 | + | 0.878112i | ||||
\(901\) | 10.6837 | + | 18.5047i | 0.355925 | + | 0.616480i | ||||
\(902\) | −2.92188 | − | 5.06085i | −0.0972881 | − | 0.168508i | ||||
\(903\) | 19.4747 | − | 4.09317i | 0.648077 | − | 0.136212i | ||||
\(904\) | 3.42117 | − | 5.92565i | 0.113787 | − | 0.197084i | ||||
\(905\) | 57.3400 | 1.90605 | ||||||||
\(906\) | 54.0931 | + | 20.9080i | 1.79712 | + | 0.694620i | ||||
\(907\) | 20.8972 | 0.693879 | 0.346939 | − | 0.937888i | \(-0.387221\pi\) | ||||
0.346939 | + | 0.937888i | \(0.387221\pi\) | |||||||
\(908\) | −36.4402 | − | 63.1163i | −1.20931 | − | 2.09459i | ||||
\(909\) | 46.3664 | − | 14.8288i | 1.53787 | − | 0.491840i | ||||
\(910\) | −1.41616 | − | 27.0040i | −0.0469454 | − | 0.895173i | ||||
\(911\) | 11.3819 | + | 19.7141i | 0.377101 | + | 0.653157i | 0.990639 | − | 0.136508i | \(-0.0435878\pi\) |
−0.613539 | + | 0.789665i | \(0.710254\pi\) | |||||||
\(912\) | 1.34008 | + | 8.58936i | 0.0443745 | + | 0.284422i | ||||
\(913\) | 1.33166 | + | 2.30650i | 0.0440715 | + | 0.0763340i | ||||
\(914\) | −11.4116 | − | 19.7654i | −0.377461 | − | 0.653782i | ||||
\(915\) | 2.64131 | + | 1.02091i | 0.0873189 | + | 0.0337503i | ||||
\(916\) | −51.8946 | − | 89.8841i | −1.71465 | − | 2.96986i | ||||
\(917\) | 12.5618 | + | 6.40002i | 0.414828 | + | 0.211347i | ||||
\(918\) | −22.5987 | + | 34.2764i | −0.745870 | + | 1.13129i | ||||
\(919\) | 18.6515 | + | 32.3054i | 0.615257 | + | 1.06566i | 0.990339 | + | 0.138664i | \(0.0442809\pi\) |
−0.375083 | + | 0.926991i | \(0.622386\pi\) | |||||||
\(920\) | 31.0980 | 1.02527 | ||||||||
\(921\) | 1.33535 | + | 8.55906i | 0.0440014 | + | 0.282031i | ||||
\(922\) | 52.1231 | 1.71658 | ||||||||
\(923\) | −9.46870 | + | 16.4003i | −0.311666 | + | 0.539822i | ||||
\(924\) | −22.4448 | + | 4.71743i | −0.738381 | + | 0.155192i | ||||
\(925\) | 19.2031 | + | 33.2607i | 0.631394 | + | 1.09361i | ||||
\(926\) | −31.2070 | − | 54.0521i | −1.02553 | − | 1.77626i | ||||
\(927\) | 6.36300 | − | 2.03500i | 0.208988 | − | 0.0668381i | ||||
\(928\) | 1.39434 | − | 2.41508i | 0.0457716 | − | 0.0792787i | ||||
\(929\) | −2.83363 | + | 4.90799i | −0.0929683 | + | 0.161026i | −0.908759 | − | 0.417322i | \(-0.862969\pi\) |
0.815791 | + | 0.578347i | \(0.196302\pi\) | |||||||
\(930\) | 6.09544 | + | 39.0692i | 0.199877 | + | 1.28113i | ||||
\(931\) | 6.28151 | − | 14.1112i | 0.205868 | − | 0.462475i | ||||
\(932\) | −25.5145 | + | 44.1923i | −0.835754 | + | 1.44757i | ||||
\(933\) | −43.6895 | + | 35.2122i | −1.43033 | + | 1.15279i | ||||
\(934\) | −83.4275 | −2.72983 | ||||||||
\(935\) | 6.54444 | − | 11.3353i | 0.214026 | − | 0.370704i | ||||
\(936\) | −3.78459 | + | 17.4091i | −0.123703 | + | 0.569034i | ||||
\(937\) | −7.64754 | −0.249834 | −0.124917 | − | 0.992167i | \(-0.539866\pi\) | ||||
−0.124917 | + | 0.992167i | \(0.539866\pi\) | |||||||
\(938\) | −72.0900 | − | 36.7285i | −2.35382 | − | 1.19923i | ||||
\(939\) | −2.45416 | − | 0.948578i | −0.0800886 | − | 0.0309557i | ||||
\(940\) | −42.9702 | −1.40153 | ||||||||
\(941\) | −10.2276 | − | 17.7147i | −0.333410 | − | 0.577483i | 0.649768 | − | 0.760132i | \(-0.274866\pi\) |
−0.983178 | + | 0.182650i | \(0.941533\pi\) | |||||||
\(942\) | −1.89035 | − | 12.1164i | −0.0615909 | − | 0.394772i | ||||
\(943\) | −2.37674 | + | 4.11663i | −0.0773973 | + | 0.134056i | ||||
\(944\) | −27.7817 | −0.904219 | ||||||||
\(945\) | −0.276974 | + | 40.1543i | −0.00900996 | + | 1.30622i | ||||
\(946\) | 14.0315 | 0.456202 | ||||||||
\(947\) | 2.38343 | − | 4.12823i | 0.0774512 | − | 0.134149i | −0.824698 | − | 0.565573i | \(-0.808655\pi\) |
0.902150 | + | 0.431423i | \(0.141988\pi\) | |||||||
\(948\) | 0.757798 | + | 4.85716i | 0.0246121 | + | 0.157753i | ||||
\(949\) | 7.66385 | + | 13.2742i | 0.248779 | + | 0.430898i | ||||
\(950\) | −18.5996 | −0.603451 | ||||||||
\(951\) | 34.7491 | + | 13.4311i | 1.12682 | + | 0.435534i | ||||
\(952\) | −29.7537 | + | 19.3238i | −0.964324 | + | 0.626287i | ||||
\(953\) | −48.9412 | −1.58536 | −0.792680 | − | 0.609638i | \(-0.791315\pi\) | ||||
−0.792680 | + | 0.609638i | \(0.791315\pi\) | |||||||
\(954\) | −34.2054 | − | 31.0861i | −1.10744 | − | 1.00645i | ||||
\(955\) | 12.1028 | − | 20.9627i | 0.391638 | − | 0.678337i | ||||
\(956\) | −40.8955 | −1.32266 | ||||||||
\(957\) | 1.90489 | − | 1.53527i | 0.0615762 | − | 0.0496283i | ||||
\(958\) | −35.5773 | + | 61.6217i | −1.14945 | + | 1.99091i | ||||
\(959\) | −17.6699 | − | 9.00249i | −0.570591 | − | 0.290706i | ||||
\(960\) | 8.52261 | + | 54.6263i | 0.275066 | + | 1.76306i | ||||
\(961\) | 10.1386 | − | 17.5605i | 0.327050 | − | 0.566468i | ||||
\(962\) | −19.0275 | + | 32.9565i | −0.613470 | + | 1.06256i | ||||
\(963\) | 38.8702 | + | 35.3256i | 1.25258 | + | 1.13835i | ||||
\(964\) | 42.8309 | + | 74.1854i | 1.37949 | + | 2.38935i | ||||
\(965\) | −27.4340 | − | 47.5171i | −0.883132 | − | 1.52963i | ||||
\(966\) | 19.1877 | + | 21.4079i | 0.617354 | + | 0.688788i | ||||
\(967\) | −2.95856 | + | 5.12438i | −0.0951409 | + | 0.164789i | −0.909667 | − | 0.415337i | \(-0.863664\pi\) |
0.814526 | + | 0.580126i | \(0.196997\pi\) | |||||||
\(968\) | 37.1361 | 1.19360 | ||||||||
\(969\) | −1.95027 | − | 12.5004i | −0.0626516 | − | 0.401570i | ||||
\(970\) | 57.7458 | 1.85410 | ||||||||
\(971\) | 14.4888 | + | 25.0953i | 0.464966 | + | 0.805345i | 0.999200 | − | 0.0399914i | \(-0.0127331\pi\) |
−0.534234 | + | 0.845337i | \(0.679400\pi\) | |||||||
\(972\) | 15.5587 | − | 55.4929i | 0.499044 | − | 1.77994i | ||||
\(973\) | 31.2099 | − | 20.2695i | 1.00054 | − | 0.649809i | ||||
\(974\) | 26.7933 | + | 46.4074i | 0.858513 | + | 1.48699i | ||||
\(975\) | −8.36401 | − | 3.23284i | −0.267863 | − | 0.103534i | ||||
\(976\) | −0.636580 | − | 1.10259i | −0.0203764 | − | 0.0352930i | ||||
\(977\) | −11.4228 | − | 19.7848i | −0.365447 | − | 0.632972i | 0.623401 | − | 0.781902i | \(-0.285750\pi\) |
−0.988848 | + | 0.148930i | \(0.952417\pi\) | |||||||
\(978\) | −0.247622 | − | 1.58716i | −0.00791809 | − | 0.0507516i | ||||
\(979\) | −4.33670 | − | 7.51139i | −0.138602 | − | 0.240065i | ||||
\(980\) | −30.7412 | + | 69.0589i | −0.981992 | + | 2.20601i | ||||
\(981\) | 9.94067 | − | 45.7270i | 0.317381 | − | 1.45995i | ||||
\(982\) | −41.8232 | − | 72.4400i | −1.33463 | − | 2.31165i | ||||
\(983\) | −31.2703 | −0.997367 | −0.498684 | − | 0.866784i | \(-0.666183\pi\) | ||||
−0.498684 | + | 0.866784i | \(0.666183\pi\) | |||||||
\(984\) | 11.8361 | + | 4.57488i | 0.377322 | + | 0.145842i | ||||
\(985\) | −17.5145 | −0.558059 | ||||||||
\(986\) | 4.12221 | − | 7.13988i | 0.131278 | − | 0.227380i | ||||
\(987\) | −12.1705 | − | 13.5788i | −0.387392 | − | 0.432217i | ||||
\(988\) | −5.97988 | − | 10.3574i | −0.190245 | − | 0.329514i | ||||
\(989\) | −5.70679 | − | 9.88444i | −0.181465 | − | 0.314307i | ||||
\(990\) | −6.01457 | + | 27.6670i | −0.191156 | + | 0.879314i | ||||
\(991\) | 3.50732 | − | 6.07485i | 0.111414 | − | 0.192974i | −0.804927 | − | 0.593374i | \(-0.797796\pi\) |
0.916340 | + | 0.400400i | \(0.131129\pi\) | |||||||
\(992\) | −4.37581 | + | 7.57912i | −0.138932 | + | 0.240637i | ||||
\(993\) | −31.4681 | − | 12.1630i | −0.998611 | − | 0.385981i | ||||
\(994\) | 68.4140 | − | 44.4319i | 2.16996 | − | 1.40930i | ||||
\(995\) | −21.0429 | + | 36.4474i | −0.667105 | + | 1.15546i | ||||
\(996\) | −11.7514 | − | 4.54211i | −0.372356 | − | 0.143922i | ||||
\(997\) | −21.2878 | −0.674191 | −0.337095 | − | 0.941470i | \(-0.609445\pi\) | ||||
−0.337095 | + | 0.941470i | \(0.609445\pi\) | |||||||
\(998\) | −10.6636 | + | 18.4698i | −0.337549 | + | 0.584653i | ||||
\(999\) | 31.1056 | − | 47.1792i | 0.984139 | − | 1.49268i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))